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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  tmlinoa.tom          GAP table of marks library           Thomas Merkwitz
##
#H  @(#)$Id: tmlinoa.tom,v 4.4 2001/07/05 07:02:13 gap Exp $
##
#Y  Copyright (C)  1997,  Lehrstuhl D fuer Mathematik,  RWTH Aachen,  Germany
#Y  (C) 1998 School Math and Comp. Sci., University of St.  Andrews, Scotland
##
##  This file contains the tables of marks of some automorphism groups of
##  $L_p(q)$ where $p \not= 2$.
##
#H  tomlib history
#H  --------------
#H  $Log: tmlinoa.tom,v $
#H  Revision 4.4  2001/07/05 07:02:13  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/tmlinoa.tom,v
#H  Working file: tmlinoa.tom
#H  head: 4.3
#H  branch:
#H  locks: strict
#H  access list:
#H  symbolic names:
#H  	GAP4R2: 4.3.0.8
#H  	GAP4R2PRE2: 4.3.0.6
#H  	GAP4R2PRE1: 4.3.0.4
#H  	GAP4R1: 4.3.0.2
#H  	GAP4B5: 4.2.0.4
#H  	dec16-98b: 4.2
#H  	GAP4b4: 4.2
#H  	version-14-apr: 4.2
#H  	version-15-jun: 4.2
#H  keyword substitution: kv
#H  total revisions: 4;	selected revisions: 4
#H  description:
#H  ----------------------------
#H  revision 4.3
#H  date: 1999/07/01 09:42:01;  author: gap;  state: Exp;  lines: +7 -7
#H  added list of definitions of standard generators
#H  (taken from Thomas Merkwitz's thesis),
#H  changed names of 2.S5`, 3`D4(2), 2`F4(2) to 2.S5', 3D4(2), 2F4(2)
#H  for consistency with the names in the character table library
#H  
#H      TB
#H  ----------------------------
#H  revision 4.2
#H  date: 1998/03/27 15:21:34;  author: gap;  state: Exp;  lines: +25 -2
#H  added some more fusions
#H  T.Merkwitz
#H  ----------------------------
#H  revision 4.1
#H  date: 1997/11/20 11:51:53;  author: gap;  state: Exp;  lines: +2 -2
#H  changed revision number to 4.1
#H  ----------------------------
#H  revision 1.1
#H  date: 1997/11/17 13:04:18;  author: gap;  state: Exp;
#H  added new table of marks library file
#H  ==========================================================================
#H
Revision.tmlinoa_tom :=
    "@(#)$Id: tmlinoa.tom,v 4.4 2001/07/05 07:02:13 gap Exp $";

SetActualLibFileName("tmlinoa");
LIBTOM( "L3(4).2_2",
[[1],[1,2],[1,3],[1,4],[1,3,5],[1,3,6],[1,3,7],[1,3,8],[1,3,9],[1,3,10],[1,2,
3,11],[1,3,12],[1,3,13],[1,14],[1,2,4,15],[1,2,4,16],[1,3,4,17],[1,18],[1,2,3,
7,11,19],[1,2,3,6,11,20],[1,3,5,6,9,21],[1,3,5,7,8,22],[1,3,5,10,23],[1,3,6,
13,24],[1,3,10,13,25],[1,3,7,13,26],[1,2,3,10,11,27],[1,3,5,12,28],[1,2,3,7,
11,13,29],[1,3,10,30],[1,3,10,12,31],[1,2,3,10,11,13,32],[1,3,6,7,10,33],[1,2,
3,5,11,13,34],[1,2,3,6,11,13,35],[1,3,8,9,12,36],[1,4,37],[1,3,14,38],[1,3,4,
6,39],[1,3,4,7,40],[1,3,4,5,41],[1,3,4,8,42],[1,3,4,9,43],[1,2,3,4,11,15,16,
17,44],[1,2,18,45],[1,3,5,6,9,21,46],[1,3,5,7,8,22,47],[1,3,5,10,23,48],[1,3,
5,12,28,49],[1,3,5,6,9,12,21,28,50],[1,3,5,6,7,8,9,10,21,22,23,33,51],[1,3,5,
7,8,12,22,28,52],[1,3,5,10,12,23,28,31,53],[1,3,5,6,9,13,21,24,54],[1,2,3,5,6,
9,11,13,20,21,24,34,35,55],[1,3,5,7,8,13,22,26,56],[1,3,5,6,7,8,9,12,21,22,28,
36,57],[1,3,5,6,9,10,12,21,23,28,58],[1,2,3,5,7,8,11,13,19,22,26,29,34,59],[1,
2,3,5,10,11,13,23,25,27,32,34,60],[1,3,5,10,23,30,61],[1,3,5,7,8,10,12,22,23,
28,62],[1,2,3,6,7,10,11,13,19,20,27,29,32,33,35,63],[1,3,10,12,13,25,30,31,
64],[1,2,3,6,7,10,11,13,24,25,26,29,32,33,35,65],[1,2,3,10,11,12,27,30,31,
66],[1,3,4,17,37,67],[1,2,4,15,16,37,68],[1,3,13,14,38,69],[1,4,18,70],[1,2,3,
4,7,11,13,15,29,40,71],[1,2,3,4,7,11,16,19,40,72],[1,3,4,6,7,10,17,33,39,73],[
1,2,3,4,6,11,16,20,39,74],[1,3,4,6,7,10,17,33,40,75],[1,2,3,4,6,11,13,15,35,
39,76],[1,3,4,8,9,12,17,36,42,77],[1,3,4,8,9,12,17,36,43,78],[1,2,3,4,5,11,13,
15,34,41,79],[1,2,3,5,6,9,11,13,20,21,24,34,35,46,54,55,80],[1,2,3,5,7,8,11,
13,19,22,26,29,34,47,56,59,81],[1,3,5,6,7,8,9,10,12,21,22,23,28,31,33,48,51,
53,58,62,82],[1,3,5,6,7,8,9,10,13,21,22,23,26,33,51,56,83],[1,3,5,6,7,8,9,10,
21,22,23,30,33,51,61,84],[1,2,3,5,6,7,8,9,10,11,13,19,20,21,22,23,24,25,26,27,
29,32,33,34,35,51,55,59,60,63,65,85],[1,3,5,6,7,8,9,10,12,21,22,23,28,33,36,
47,51,52,57,62,86],[1,3,5,6,7,8,9,10,12,21,22,23,28,33,36,46,50,51,57,58,87],[
1,3,5,6,7,8,9,10,13,21,22,23,24,33,51,54,88],[1,2,3,5,6,9,11,12,13,20,21,24,
28,34,35,50,54,55,89],[1,2,3,5,7,8,11,12,13,19,22,26,28,29,34,52,56,59,90],[1,
3,5,6,7,8,9,10,12,21,22,23,28,31,36,49,50,52,53,57,58,62,91],[1,2,3,5,10,11,
12,13,23,25,27,28,30,31,32,34,53,60,61,64,66,92],[1,2,3,5,10,11,13,23,25,27,
30,32,34,48,60,61,93],[1,3,4,10,17,37,67,94],[1,3,4,12,17,37,67,95],[1,2,3,4,
11,15,16,17,37,44,67,68,96],[1,2,4,16,18,45,70,97],[1,3,4,5,6,9,21,39,41,43,
46,98],[1,3,4,5,7,8,22,40,41,42,47,99],[1,3,4,5,10,23,41,48,100],[1,2,3,4,6,7,
10,11,13,15,16,17,19,20,27,29,32,33,35,40,44,63,71,72,75,101],[1,3,4,5,12,28,
41,49,102],[1,2,3,4,6,7,10,11,13,15,16,17,19,20,27,29,32,33,35,39,44,63,73,74,
76,103],[1,3,4,5,14,17,38,41,104],[1,3,4,6,14,17,38,39,105],[1,3,4,7,14,17,38,
40,106],[1,3,4,8,14,17,38,42,107],[1,3,4,9,14,17,38,43,108],[1,3,5,6,7,8,9,10,
12,21,22,23,28,31,33,36,46,47,48,49,50,51,52,53,57,58,62,82,86,87,91,109],[1,
2,3,5,6,7,8,9,10,11,12,13,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,
48,51,53,55,58,59,60,61,62,63,64,65,66,82,84,85,92,93,110],[1,3,5,6,7,8,9,10,
12,13,21,22,23,24,26,28,31,33,48,51,53,54,56,58,62,82,83,88,111],[1,2,3,5,6,7,
8,9,10,11,12,13,19,20,21,22,23,24,25,26,27,28,29,32,33,34,35,36,47,51,52,55,
56,57,59,60,62,63,65,81,83,85,86,90,112],[1,3,5,6,7,8,9,10,12,13,21,22,23,24,
28,30,33,36,47,51,52,54,57,61,62,84,86,88,113],[1,2,3,5,6,7,8,9,10,11,12,13,
19,20,21,22,23,24,25,26,27,28,29,32,33,34,35,36,46,50,51,54,55,57,58,59,60,63,
65,80,85,87,88,89,114],[1,3,5,6,7,8,9,10,12,13,21,22,23,26,28,30,33,36,46,50,
51,56,57,58,61,83,84,87,115],[1,3,4,10,17,30,37,67,94,116],[1,2,3,4,10,11,15,
16,17,27,37,44,67,68,94,96,117],[1,3,4,10,12,17,31,37,67,94,95,118],[1,3,5,7,
8,14,22,47,119],[1,3,5,6,9,14,21,46,120],[1,3,4,5,6,7,8,9,10,12,17,21,22,23,
28,33,36,39,41,43,46,50,51,57,58,73,78,87,98,121],[1,2,3,4,5,7,8,11,13,16,19,
22,26,29,34,40,41,42,47,56,59,72,81,99,122],[1,2,3,4,5,6,9,11,13,15,20,21,24,
34,35,39,41,43,46,54,55,76,79,80,98,123],[1,3,4,5,6,7,8,9,10,12,17,21,22,23,
28,33,36,40,41,42,47,51,52,57,62,75,77,86,99,124],[1,2,3,4,5,7,8,11,13,15,19,
22,26,29,34,40,41,42,47,56,59,71,79,81,99,125],[1,2,3,4,5,6,9,11,13,16,20,21,
24,34,35,39,41,43,46,54,55,74,80,98,126],[1,2,3,4,5,10,11,13,15,23,25,27,30,
32,34,41,48,60,61,79,93,100,127],[1,2,3,4,5,11,13,14,15,16,17,34,38,41,44,69,
79,104,128],[1,2,3,4,7,11,13,14,15,16,17,29,38,40,44,69,71,106,129],[1,2,3,4,
6,11,13,14,15,16,17,35,38,39,44,69,76,105,130],[1,2,3,5,6,7,8,9,10,11,12,13,
19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,46,47,48,49,50,51,52,53,
54,55,56,57,58,59,60,61,62,63,64,65,66,80,81,82,83,84,85,86,87,88,89,90,91,92,
93,109,110,111,112,113,114,115,131],[1,2,3,4,10,11,12,15,16,17,27,30,31,37,44,
66,67,68,94,95,96,116,117,118,132],[1,3,5,6,7,8,9,10,12,14,21,22,23,28,33,36,
38,47,51,52,57,62,86,119,133],[1,3,5,6,7,8,9,10,12,14,21,22,23,28,33,36,38,46,
50,51,57,58,87,120,134],[1,3,4,6,7,10,17,18,33,39,40,70,73,75,135],[1,3,4,8,9,
12,17,18,36,42,43,70,77,78,136],[1,3,4,5,6,7,8,9,10,12,21,22,23,28,31,33,36,
39,40,41,42,43,46,47,48,49,50,51,52,53,57,58,62,82,86,87,91,98,99,100,102,109,
137],[1,2,3,4,5,6,7,8,9,10,11,12,13,15,16,17,19,20,21,22,23,24,25,26,27,28,29,
32,33,34,35,36,40,41,42,44,47,51,52,55,56,57,59,60,62,63,65,71,72,75,77,79,81,
83,85,86,90,99,101,112,122,124,125,138],[1,2,3,4,5,6,7,8,9,10,11,12,13,15,16,
17,19,20,21,22,23,24,25,26,27,28,29,32,33,34,35,36,39,41,43,44,46,50,51,54,55,
57,58,59,60,63,65,73,74,76,78,79,80,85,87,88,89,98,103,114,121,123,126,139],[
1,3,5,6,7,8,9,10,12,13,14,21,22,23,24,28,30,33,36,38,47,51,52,54,57,61,62,69,
84,86,88,113,119,133,140],[1,3,5,6,7,8,9,10,12,13,14,21,22,23,26,28,30,33,36,
38,46,50,51,56,57,58,61,69,83,84,87,115,120,134,141],[1,2,3,4,6,7,10,11,13,15,
16,17,18,19,20,27,29,32,33,35,39,40,44,45,63,70,71,72,73,74,75,76,97,101,103,
135,142],[1,3,4,6,7,10,14,17,33,37,38,39,40,67,73,75,94,105,106,143],[1,3,4,8,
9,12,14,17,36,37,38,42,43,67,77,78,95,107,108,144],[1,2,3,4,5,6,7,8,9,10,11,
12,13,15,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,39,40,41,42,43,
46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,71,76,79,80,81,
82,83,84,85,86,87,88,89,90,91,92,93,98,99,100,102,109,110,111,112,113,114,115,
123,125,127,131,137,145],[1,2,3,4,6,7,10,11,13,14,15,16,17,19,20,27,29,32,33,
35,37,38,39,40,44,63,67,68,69,71,72,73,74,75,76,94,96,101,103,105,106,117,129,
130,143,146],[1,3,4,5,6,7,8,9,10,12,14,17,21,22,23,28,31,33,36,38,39,40,41,42,
43,46,47,48,49,50,51,52,53,57,58,62,73,78,82,86,87,91,98,99,100,102,104,106,
107,109,120,121,134,137,147],[1,3,4,5,6,7,8,9,10,12,14,17,21,22,23,28,31,33,
36,38,39,40,41,42,43,46,47,48,49,50,51,52,53,57,58,62,75,77,82,86,87,91,98,99,
100,102,104,105,108,109,119,124,133,137,148],[1,2,3,4,5,6,7,8,9,10,11,12,13,
14,15,16,17,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,38,39,40,41,
42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,69,71,
73,74,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,98,99,100,102,103,
104,106,107,109,110,111,112,113,114,115,120,121,123,125,126,127,128,129,131,
134,137,139,141,145,147,149],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,19,20,
21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,46,47,48,
49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,69,71,72,75,76,77,79,80,
81,82,83,84,85,86,87,88,89,90,91,92,93,98,99,100,101,102,104,105,108,109,110,
111,112,113,114,115,119,122,123,124,125,127,128,130,131,133,137,138,140,145,
148,150],[1,3,4,5,6,7,8,9,10,12,14,17,18,21,22,23,28,31,33,36,37,38,39,40,41,
42,43,46,47,48,49,50,51,52,53,57,58,62,67,70,73,75,77,78,82,86,87,91,94,95,98,
99,100,102,104,105,106,107,108,109,118,119,120,121,124,133,134,135,136,137,
143,144,147,148,151],[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]],
0,
[[1],[1,1],[1,1],[1,1],[1,3,1],[1,3,1],[1,3,1],[1,3,1],[1,3,1],[1,1,1],[1,2,1,
1],[1,1,1],[1,1,1],[1,1],[1,3,1,1],[1,1,1,1],[1,3,1,1],[1,1],[1,4,3,1,6,1],[1,
4,3,1,6,1],[1,7,1,2,4,1],[1,7,1,2,4,1],[1,3,1,2,1],[1,3,1,2,1],[1,1,1,2,1],[1,
3,1,2,1],[1,4,1,1,2,1],[1,3,1,2,1],[1,2,3,1,1,1,1],[1,1,1,1],[1,1,1,2,1],[1,2,
1,1,1,1,1],[1,5,1,1,1,1],[1,2,3,1,1,1,1],[1,2,3,1,1,1,1],[1,5,1,1,1,1],[1,4,
1],[1,5,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,4,
3,1,3,1,1,1,1],[1,1,1,1],[1,15,5,10,20,15,1],[1,15,5,10,20,15,1],[1,3,1,6,3,
1],[1,3,1,6,3,1],[1,7,1,2,4,4,1,2,1],[1,11,1,2,2,4,4,2,1,1,1,4,1],[1,7,1,2,4,
4,1,2,1],[1,3,1,2,4,1,2,4,1],[1,7,1,2,4,4,1,2,1],[1,4,7,1,2,4,6,2,1,1,1,2,2,
1],[1,7,1,2,4,4,1,2,1],[1,11,1,2,2,4,4,2,1,1,1,4,1],[1,7,1,2,4,2,2,1,1,1,1],[
1,4,7,1,2,4,6,2,1,1,1,2,2,1],[1,4,3,1,2,2,2,1,1,1,2,2,1],[1,3,1,2,1,2,1],[1,7,
1,2,4,2,2,1,1,1,1],[1,6,5,1,1,1,11,1,1,1,1,1,1,1,1,1],[1,1,1,2,2,1,1,1,1],[1,
2,5,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,4,1,1,2,2,1,1,1,1],[1,9,4,12,1,1],[1,3,4,1,
3,1,1],[1,5,5,1,1,1],[1,7,1,1],[1,6,3,4,1,3,3,4,3,1,1],[1,4,3,4,1,6,4,1,1,1],[
1,9,4,1,3,3,4,3,1,1],[1,4,3,4,1,6,4,1,1,1],[1,9,4,3,1,3,4,3,1,1],[1,6,3,4,1,3,
3,4,3,1,1],[1,9,4,1,3,3,4,3,1,1],[1,9,4,3,1,3,4,3,1,1],[1,6,3,4,1,3,3,4,3,1,
1],[1,4,15,5,10,20,6,6,1,15,3,6,6,1,3,3,1],[1,4,15,5,10,20,6,6,1,15,3,6,6,1,3,
3,1],[1,11,1,2,2,4,4,6,4,1,1,3,2,4,4,1,1,1,2,2,1],[1,11,1,2,2,4,4,2,8,1,1,1,4,
4,1,2,1],[1,11,1,2,2,4,4,2,1,1,1,4,4,1,2,1],[1,8,11,1,2,2,4,4,2,20,4,2,2,1,1,
1,2,2,2,2,4,4,4,4,4,1,2,2,2,4,4,1],[1,19,5,2,10,20,4,2,4,1,15,1,2,4,8,1,1,1,2,
2,1],[1,19,5,10,2,4,20,2,4,15,1,1,2,4,8,1,1,1,2,2,1],[1,11,1,2,2,4,4,2,8,1,1,
1,4,4,1,2,1],[1,4,7,1,2,4,6,4,6,1,1,3,2,2,2,1,1,1,1],[1,4,7,1,2,4,6,4,6,1,1,3,
2,2,2,1,1,1,1],[1,11,1,2,2,4,4,2,8,1,1,1,4,4,4,1,1,1,1,1,1,1,1],[1,4,3,1,2,2,
4,2,1,1,1,2,2,4,2,2,1,1,1,2,2,1],[1,4,3,1,6,2,2,3,1,1,2,2,2,1,1,1,1],[1,9,4,9,
12,1,1,1],[1,9,4,9,12,1,1,1],[1,6,9,4,9,2,6,12,1,6,1,2,1],[1,1,7,7,1,1,1,1],[
1,15,16,5,10,20,15,4,8,8,1,1],[1,15,16,5,10,20,15,4,8,8,1,1],[1,3,16,1,6,3,4,
1,1],[1,10,9,4,3,1,3,21,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,3,16,1,6,3,4,
1,1],[1,10,9,4,1,3,3,21,3,4,4,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,15,10,5,6,10,
6,5,1],[1,15,10,5,6,10,6,5,1],[1,15,10,5,6,10,6,5,1],[1,15,10,5,6,10,6,5,1],[
1,15,10,5,6,10,6,5,1],[1,27,9,10,10,20,20,6,12,15,15,3,6,12,12,24,1,1,1,2,3,3,
3,3,6,6,6,3,3,3,6,1],[1,8,11,1,2,2,4,4,6,20,4,4,2,2,1,1,3,2,2,2,2,2,4,4,4,4,4,
4,4,1,1,1,2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,1],[1,11,1,2,2,4,4,6,4,16,1,1,3,4,4,2,
4,4,1,1,1,2,2,2,2,1,1,1,1],[1,8,19,5,2,10,20,4,2,20,4,12,2,2,1,15,1,2,2,6,2,2,
12,4,4,12,4,8,1,1,1,2,6,2,6,2,2,4,4,2,1,1,1,2,1],[1,19,5,2,10,20,4,2,4,8,1,15,
1,4,2,4,4,8,1,1,1,2,2,2,2,1,1,1,1],[1,8,19,5,10,2,4,20,2,20,4,12,2,2,15,1,1,6,
2,2,2,2,4,4,4,12,12,8,1,1,1,6,6,2,2,2,2,4,4,2,1,1,1,2,1],[1,19,5,10,2,4,20,2,
4,8,15,1,1,4,2,4,4,8,1,1,1,2,2,2,2,1,1,1,1],[1,9,4,9,12,9,1,1,1,1],[1,12,9,4,
9,18,4,12,12,9,1,12,1,4,1,2,1],[1,9,4,9,18,12,9,1,1,1,2,1],[1,15,5,10,20,16,
15,1,1],[1,15,5,10,20,16,15,1,1],[1,27,16,5,10,6,12,20,6,12,16,15,3,3,6,12,24,
4,8,8,1,3,3,6,6,4,8,3,1,1],[1,4,15,16,5,10,20,6,6,16,1,15,3,6,6,4,8,8,1,3,3,4,
1,1,1],[1,12,15,16,5,10,20,18,18,16,3,15,9,18,18,4,8,8,1,9,9,4,8,3,1,1],[1,27,
16,5,6,10,20,12,6,12,16,3,15,3,6,12,24,4,8,8,1,3,3,6,6,4,8,3,1,1],[1,12,15,16,
5,10,20,18,18,16,3,15,9,18,18,4,8,8,1,9,9,4,8,3,1,1],[1,4,15,16,5,10,20,6,6,
16,1,15,3,6,6,4,8,8,1,3,3,4,1,1,1],[1,12,3,16,1,6,6,6,16,3,3,3,6,6,6,4,1,3,3,
4,3,1,1],[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],[1,10,15,10,5,15,15,6,10,10,10,15,6,5,10,6,5,
1,1],[1,8,27,9,10,10,20,20,6,20,12,20,2,2,15,15,3,6,2,6,2,6,12,4,12,4,12,20,
12,24,1,1,1,2,3,3,3,3,6,6,6,6,6,6,2,2,6,4,4,4,4,2,2,3,1,1,1,3,3,1,2,2,6,2,2,1,
1,1,1,1,1,1,1],[1,12,9,4,9,18,18,4,12,12,9,9,9,1,12,9,1,4,1,2,2,1,1,1,1],[1,
35,5,10,10,20,20,10,20,16,5,15,5,10,20,40,16,1,5,5,10,10,5,1,1],[1,35,5,10,10,
20,20,10,20,16,15,5,5,10,20,40,16,1,5,5,10,10,5,1,1],[1,21,28,7,7,21,28,8,21,
7,7,8,7,7,1],[1,21,28,7,7,21,28,8,21,7,7,8,7,7,1],[1,27,64,9,10,10,20,20,6,12,
15,15,3,6,12,12,24,16,16,48,32,32,1,1,1,2,3,3,3,3,6,6,6,3,3,3,6,4,4,4,8,1,1],[
1,16,27,16,5,6,10,20,12,6,48,12,24,16,16,16,4,6,3,15,3,6,6,12,6,6,24,12,12,24,
12,24,4,8,8,16,1,3,3,6,12,6,12,6,6,12,12,4,4,4,8,8,4,3,3,3,6,1,4,3,1,1,1,1],[
1,16,27,16,5,10,6,12,20,6,48,12,24,16,16,16,6,4,15,3,3,12,6,6,6,6,12,12,12,24,
24,24,4,8,8,16,1,3,3,12,12,6,6,6,6,12,12,4,4,4,8,8,4,3,3,3,6,1,4,3,1,1,1,1],[
1,35,5,10,10,20,20,10,20,40,16,5,15,5,20,10,20,20,40,16,1,5,5,10,10,10,10,16,
5,5,5,5,1,1,1],[1,35,5,10,10,20,20,10,20,40,16,15,5,5,20,10,20,20,40,16,1,5,5,
10,10,10,10,16,5,5,5,5,1,1,1],[1,22,21,28,7,7,21,63,21,28,28,28,8,7,7,21,21,
21,21,21,7,7,28,8,21,8,7,7,7,7,7,7,8,7,7,1,1],[1,45,40,15,15,45,36,120,45,10,
36,15,15,10,15,15,10,6,6,1],[1,45,40,15,15,45,36,120,45,10,36,15,15,10,15,15,
10,6,6,1],[1,24,27,64,9,10,10,20,20,6,60,12,60,64,6,6,15,15,3,18,6,18,6,6,36,
12,12,12,12,60,36,24,16,16,48,32,32,1,1,1,2,3,3,3,3,18,18,18,6,6,18,6,6,6,12,
12,12,12,16,16,48,6,6,3,3,3,3,3,3,3,6,6,6,6,6,4,4,4,8,1,3,3,3,3,3,3,4,4,4,3,1,
1],[1,30,45,40,15,15,45,135,45,36,40,120,120,15,15,45,45,45,45,45,10,36,15,15,
120,45,10,40,36,15,15,15,15,15,15,10,20,15,15,6,6,10,6,6,1,1],[1,75,160,25,10,
50,100,20,30,60,96,160,15,75,15,30,60,60,120,96,40,80,160,160,80,1,5,5,10,15,
15,15,15,30,30,30,40,80,15,15,15,30,10,20,20,40,16,16,32,5,6,10,6,5,1],[1,75,
160,25,50,10,20,100,30,60,96,160,75,15,15,30,60,60,120,96,80,40,160,80,160,5,
1,5,10,15,15,15,15,30,30,30,40,80,15,15,15,30,20,10,20,40,16,16,32,5,6,10,6,5,
1],[1,40,75,160,25,10,50,100,20,30,180,60,180,96,160,160,160,30,10,15,75,15,
30,30,90,30,30,180,60,60,60,60,180,60,120,96,40,80,160,160,80,160,1,5,5,10,15,
15,15,15,30,30,90,30,30,90,30,30,30,60,60,60,60,96,80,40,40,40,80,160,10,30,
15,15,15,15,15,15,15,30,30,30,30,30,10,20,20,40,40,16,16,32,5,15,15,15,15,15,
15,6,10,10,20,10,20,16,16,15,6,5,10,6,5,1,1],[1,40,75,160,25,50,10,20,100,30,
180,60,180,96,160,160,160,10,30,75,15,15,90,30,30,30,30,60,60,60,60,60,180,
180,120,96,80,40,160,80,160,160,5,1,5,10,15,15,15,15,90,90,30,30,30,30,30,30,
30,60,60,60,60,96,40,40,40,80,80,160,30,10,15,15,15,15,15,15,15,30,30,30,30,
30,20,10,20,40,40,16,16,32,5,15,15,15,15,15,15,6,10,20,10,10,20,16,16,15,6,5,
10,6,5,1,1],[1,315,1120,105,210,210,420,420,630,1260,2016,3360,960,315,315,
315,630,1260,1260,2520,280,2016,840,840,1680,1680,1680,21,21,105,210,315,315,
315,315,630,630,630,280,960,840,840,1680,1680,315,315,315,630,280,560,210,210,
420,840,336,336,336,672,672,105,280,126,126,210,210,126,126,120,240,105,56,
112,21,21,1],[1,120,315,1120,105,210,210,420,420,630,1260,1260,1260,2016,1120,
3360,3360,960,210,210,315,315,315,630,630,630,630,630,1260,1260,1260,1260,
1260,1260,1260,2520,280,2016,840,840,1680,1680,1680,3360,960,21,21,105,210,
315,315,315,315,630,630,630,630,630,630,630,630,630,1260,1260,1260,1260,280,
1120,2016,960,840,840,840,840,840,840,1680,1680,1680,210,210,315,315,315,315,
315,315,315,630,630,630,630,630,280,560,560,960,210,210,420,840,840,840,336,
336,336,672,672,105,315,315,315,315,315,315,280,280,280,126,126,210,210,210,
210,210,210,420,336,336,336,315,280,126,126,120,240,105,210,210,126,126,120,
56,112,105,56,21,21,21,21,1,1]],
[1,2,2,3,4,4,4,4,4,4,4,4,4,5,6,6,6,7,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,9,10,
12,12,12,12,12,12,14,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,18,18,20,21,24,24,24,24,24,24,24,24,24,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,36,36,36,42,48,48,48,48,48,48,60,60,60,60,60,64,64,64,64,64,64,64,72,
72,72,80,80,96,96,96,96,96,96,96,120,120,120,128,144,160,160,168,168,192,192,
192,320,320,336,360,360,384,720,960,960,1920,1920,20160,40320],
[152,142,131,96,145,139,138,124,121,110,85,91,85,69,96,44,44,97,138,139,131,
131,131,114,110,112,110,109,85,92,92,85,85,85,85,57,132,69,103,101,79,77,78,
44,97,149,150,145,137,131,131,131,131,114,114,112,109,109,112,110,110,109,85,
92,85,92,132,96,69,97,101,101,103,103,101,103,77,78,79,139,138,131,131,131,
131,131,131,131,114,112,109,110,110,132,118,117,97,139,138,127,101,102,103,
128,130,129,107,108,145,131,131,131,131,131,131,132,132,132,140,141,139,138,
139,138,138,139,127,128,129,130,131,132,140,141,142,136,145,138,139,140,141,
142,146,144,145,146,149,150,149,150,152,152],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,1,4,1,1,1,1,1,1,1,3,1,3,1,3,1,3,1,3,3,3,3,1,14,
6,7,5,8,9,4,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,10,3,10,37,4,14,18,40,7,39,
6,40,39,42,43,41,6,7,5,5,5,3,5,5,5,6,7,5,10,10,37,37,37,18,46,47,48,40,49,39,
104,105,106,107,108,5,23,23,22,22,21,21,37,67,67,47,46,98,47,98,99,99,46,100,
104,106,105,51,94,119,120,135,136,109,99,98,119,120,135,143,144,137,143,147,
148,147,148,151,151],
[( 1, 3)( 2, 5)(10,15)(11,20)(12,16)(13,17)(18,19),( 2,19)( 3,20, 8, 5)
( 4, 7,12,18)( 6, 9,14,17)(10,21)(11,13,15,16)],
[[[[]]],[[[1,1,2,1],[2,-2,3,1,1,1,2,-1,3,1,2,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,
3,-1,4,3,3,-1]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,2,-1,3,-1]]],[[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[3,2],[6,1,4,-1,5,2,6,1,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,
-1,4,1,2,1,3,1,4,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,1,1,
4,1,5,-1,4,1,3,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,2,1,3,1,4,-1,
1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,1,2,1,3,1,4,-1,5,2,3,1,1,1,4,
1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,1,1,3,-1,4,1,2,1,3,2,5,1]]],[[[
1,1,2,1],[2,1,1,1],[2,1,3,2],[4,1,5,1,4,1,5,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,
-1,4,3,3,-1]]],[[[2,1,1,1],[1,1,2,-1,3,-2,2,-1,1,1,3,2]],[[1,1,2,1],[2,1,1,
1],[4,1,3,-1,4,3,3,-1]]],[[[2,1,1,1],[2,1,3,-1,2,-1,1,1,2,1,3,2]]],[[[1,1,2,
1],[2,1,1,1],[4,1,3,-1,4,3,3,-1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2]]],[[[1,1,
2,1],[2,1,1,1],[4,1,2,-2,3,2,2,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,3,2,-2,
3,1]]],[[[1,1,2,1],[1,1,2,-1,1,1,2,-1,3,1,2,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,
1,3,-1,2,-1,3,2,4,-1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1,2,-2]]],[[[1,1,2,1],[
2,1,1,1],[4,1,3,-3,4,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,2,4,-1]],[[1,
1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,3,1,4,-1]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,3,3,-1]],[[1,1,2,1],[2,-2,3,1,1,1,2,-1,
3,1,2,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1]]],[[[1,1,2,1],[2,1,1,
1],[4,1,3,-1,4,3,3,-1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2]],[[1,1,2,1],[2,-2,3,
1,1,1,2,-1,3,1,2,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,1,1,4,1,5,-1,
4,1,3,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,2,1,3,1,4,-1,1,1,2,
-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,2],[6,1,4,-1,5,2,6,1,4,1]]],[[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[3,1,2,1,3,1,4,-1,5,2,3,1,1,1,4,1]],[[1,1,2,1],[1,1,2,
-1],[2,-2,3,1,1,1,2,-1,4,2,3,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,1,
1,3,-1,4,1,2,1,3,2,5,1]]],[[[1,1,2,1],[1,1,2,-1],[3,2,1,1,2,-1],[5,1,4,1,5,1,
4,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,1,2,-2,3,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[1,
1,2,-1],[2,1,4,2,5,-2,4,1,3,-2]],[[2,1,1,1],[1,1,2,-1,3,-2,2,-1,1,1,3,2]]],[[[
1,1,2,1],[2,1,1,1],[4,1,3,-2,2,1,1,1,2,1,4,-1,3,-1,4,1]],[[1,1,2,1],[3,1,1,1,
2,-1,1,1,2,-1,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,1,1,1,4,1,2,1,3,2]],[[
1,1,2,1],[2,1,1,1],[2,1,3,2],[4,1,5,1,4,1,5,-1]]],[[[1,1,2,1],[2,1,3,1,2,1,1,
1,2,-2,3,1]],[[1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,2],[6,1,4,-1,5,2,6,
1,4,1]],[[1,1,2,1],[2,-2,1,1,2,-1,1,1,2,-1,3,-2,2,-1]]],[[[1,1,2,1],[2,1,3,1,
2,1,1,1,2,-2,3,1]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[4,
1,3,-2,4,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,-2,3,2,2,1,4,-1]],[[1,1,2,1],[2,-1,
3,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,-2,3,3,4,1]],[[1,1,2,1],[2,-2,3,1,1,1,2,
-1,3,1,2,1]]],[[[1,1,2,1],[2,-2,3,1,2,1,1,1,3,-2]],[[1,1,2,1],[2,1,3,1],[4,1,
3,1,2,1,1,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,3,3,-1]],[[1,1,2,1],[2,
1,1,1,3,1,2,1,3,1]]],[[[1,1,2,1],[2,-2,3,1,1,1,2,-1,3,1,2,1]],[[1,1,2,1],[3,1,
1,1,2,-1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,3,3,-1]],[[1,1,2,-2,1,
1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-3,3,-2,2,-1]],[[1,1,2,1],[3,1,1,1,2,1,
1,1,2,-1,3,-1]]],[[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,1]],[[1,1,2,1],[3,1,1,1,2,-1,
3,-2]]],[[[1,1,2,1],[2,1,3,1],[4,1,3,1,2,1,1,1,4,-1]],[[1,1,2,1],[1,1,2,-1,1,
1,2,-1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,2,3,-2]],[[2,-2],[3,1,2,1,1,
1,3,1,1,1,2,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,3,3,-1]],[[1,1,2,1],[2,-2,
3,2]]],[[[1,1,2,1],[2,1,3,3,2,1,1,1,2,-1]],[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,
2]]],[[[1,1,2,1],[2,1,3,1],[4,1,3,1,2,1,1,1,4,-1]],[[2,1,1,1],[1,1,2,-1,3,-2,
2,-1,1,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,3,1,4,-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],[1,1,2,-1],[5,1,3,1,1,1,
4,1,5,-1,4,1,3,-2,2,-1]],[[1,1,2,1],[2,1,1,1,3,-2],[4,1,2,-2,4,-1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[3,2],[6,1,4,-1,5,2,6,1,4,1]],[[1,1,2,1],[2,1,1,1],[2,
1,4,1,3,-1,4,1,2,1,3,1,4,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,
1,1,3,-1,4,1,2,1,3,2,4,-1,5,1]],[[1,1,2,1,1,1,2,1,1,1],[3,1,2,-2,3,-1]],[[1,1,
2,1],[1,1,2,-1],[2,1,1,1,3,-2],[5,1,4,-1,2,-2,4,1,5,-1]],[[1,1,2,1],[1,1,2,
-1],[4,1,3,1,1,1,2,-1,3,-2,4,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,1,2,-2,3,1,4,
-1]],[[1,1,2,1],[2,1,3,1,1,1,2,-1,1,1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[5,1,4,-1,3,1,4,1,2,-1,3,1,4,2,5,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,
4,1,2,-2,3,2,4,-1]]],[[[1,1,2,1],[2,-2,3,1,1,1,2,-1,3,1,2,1,3,1]],[[1,1,2,1],[
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1,4,-1,5,2,6,1,4,1]],[[2,1,1,1,2,-2,1,1,2,-1]],[[1,1,2,1],[3,2],[4,1,2,1,1,1,
4,-1,2,1,1,1]]],[[[2,1,1,1],[2,1,3,3,2,-1,1,1,2,-2]],[[1,1,2,1],[3,1,1,1,2,-1,
3,-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-2,3,-1,5,-1,4,1,3,-2,2,
-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,1,1,2,-1,3,1,2,1,3,1]],[[1,1,2,1],[2,
1,1,1],[2,-2,4,-1,1,1,3,-3,2,-1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,-2,3,3,4,
1]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,
4,-1]],[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,2]],[[1,1,2,1],[2,-2,3,1,1,1,2,-1,3,1,2,
1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,3,2,-2,3,1]],[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,
2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,1,1,4,1,5,-1,4,1,3,-2,2,-1]],[[
2,1,1,1],[1,1,2,1,3,2],[4,1,2,-2,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,
2],[6,1,4,-1,5,2,6,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,-1,3,1,4,2]],[[1,1,2,
1],[2,1,3,1],[4,1,3,1,2,1,1,1,4,-1]]],[[[1,1,2,1],[2,1,3,1],[4,1,3,1,2,1,1,1,
4,-1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2]],[[1,1,2,1],[2,-2,3,1,1,1,2,-1,3,1,2,
1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,2],[6,1,4,-1,5,2,6,1,4,1]],[[1,1,2,
-1,1,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]]],[[[
2,1,1,1],[2,1,3,1,2,-2,1,1,2,1,3,-1]],[[1,1,2,1],[2,1,3,1,1,1,2,-1,1,1,3,
-1]]],[[[2,1,1,1],[2,-2,1,1,2,1],[3,1,4,1,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,
1,3,-1,4,3,3,-1]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-2,3,1]],[[1,1,2,-1,1,1,2,1,
1,1]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[2,-2,3,1,4,-2,3,
1,4,-1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,1,2,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,
1,2,-1],[3,2],[6,1,4,-1,5,2,6,1,4,1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2,3,1]],[[1,
1,2,1],[2,1,1,1],[1,1,2,-1,4,-2,3,-1,2,1,4,1,3,-1,4,1]]],[[[1,1,2,1],[2,-1,3,
2]],[[2,1,1,1,2,-1]]],[[[1,1,2,1],[1,1,2,-1],[3,2,1,1,2,-1],[5,1,4,1,5,1,4,
1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,
3,-1,4,3,3,-1]]],[[[1,1,2,1],[1,1,2,-1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1,3,
2,2,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,3,2,-2,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,
3,-1,4,3,3,-1]]],[[[1,1,2,1],[2,1,3,3,2,1,1,1,2,-1]],[[2,1,1,1],[1,1,2,-1,3,
-2,2,-1,1,1]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2]],[[2,-2],[3,1,2,1,1,1,3,1,1,
1,2,1]],[[2,1,1,1,2,-1]]],[[[1,1,2,1],[3,2,2,1,3,2,2,1,1,1]],[[2,1,1,1],[1,1,
2,-1,3,-2,2,-1,1,1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,-1,3,1,4,2]],[[2,-2],[3,1,
2,1,1,1,3,1,1,1,2,1]]],[[[1,1,2,1],[2,1,1,1,3,1,2,1,3,3]],[[1,1,2,1],[3,1,1,1,
2,1,1,1,3,-2]]],[[[2,1,1,1],[1,1,2,-1,3,-2,2,-1,1,1]],[[1,1,2,1],[3,1,1,1,2,
-1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,3,2,-2,3,1]],[[1,1,2,1],[3,1,1,1,2,1,
1,1,3,-2]]],[[[2,1,1,1],[2,-2,1,1,2,1],[4,1,3,2,4,1]],[[1,1,2,1],[2,1,3,1],[4,
1,3,1,2,1,1,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,-2,3,2,2,1,4,-1]],[[1,1,2,
-2,1,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-2,3,-1]],[[1,1,2,1],[3,1,1,1,
2,1,1,1,3,-2]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-2,3,1]]],[[[1,1,2,1],[2,1,1,1],[
2,1,4,1,3,-1,4,1,2,1,3,1,4,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-1,1,
1,2,-1,3,1,4,2]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,
1,3,-2,2,1,1,1,4,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,3,3,-1]],[[1,1,
2,1],[2,1,1,1,3,2,2,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,2,4,-1,3,1,4,1,2,
-1]],[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[5,1,3,
1,4,-1,3,1,5,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-2,3,-1,4,1,2,1,3,
2]],[[1,1,2,1],[1,1,2,-1],[4,1,3,1,1,1,2,-1,3,-2,4,-1]]],[[[1,1,2,1],[2,1,1,
1],[3,1,2,1,4,-1,3,1,4,2]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,2,1,1,1,4,-1]]],[[[1,
1,2,1],[2,1,1,1],[1,1,2,-1],[3,2],[6,1,4,-1,5,2,6,1,4,1]],[[1,1,2,-1,1,1,2,1,
1,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,
1,1,4,1,2,1,1,1,4,1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,3,3,-1]],[[2,
1,1,1],[1,1,2,-2,3,-3,2,-1]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,2,1,1,1,4,-1]]],[[[
1,1,2,1],[2,1,1,1],[4,1,3,-1,4,3,3,-1]],[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,2]],[[
1,1,2,1],[2,1,1,1,2,-2,3,3]]],[[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,-1,3,2,4,-1,1,
1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,3,1,4,-1]]],[[[1,1,2,1],[1,1,2,
-1,3,1,2,1,1,1,2,-1,3,1]],[[1,1,2,1],[2,1,1,1,3,2,2,1]]],[[[1,1,2,1],[1,1,2,
-1,3,1,2,1,1,1,2,-1,3,1]],[[2,1,1,1,2,-1]]],[[[1,1,2,1],[1,1,2,-1],[4,1,3,1,1,
1,2,-1,3,-2,4,-1]],[[2,1,1,1],[2,-2,1,1,2,1],[3,1,4,1,3,1,4,-1]],[[1,1,2,1],[
2,1,1,1],[4,1,3,-1,4,3,3,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,2],[6,1,4,
-1,5,2,6,1,4,1]],[[1,1,2,-1,1,1,2,1,1,1]],[[1,1,2,1],[2,-2,1,1,2,-1,1,1,2,-1,
3,-2,2,-1]]],[[[2,1,1,1],[2,-2,1,1,2,1],[3,1,4,1,3,1,4,-1]],[[1,1,2,1],[2,1,1,
1],[3,1,2,1,3,1,4,-2,3,-1]]],[[[1,1,2,1],[3,1,1,1,2,-1,1,1,2,-1,3,1]],[[2,1,1,
1],[1,1,2,-1,1,1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,-2,3,2,2,1,4,-1]],[[
2,1,1,1],[1,1,2,-1,1,1,2,1,3,2]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,
1],[2,1,1,1,3,2,2,1]],[[1,1,2,-2,1,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,3,3,
-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-2,4,-1]]],[[[2,1,1,1],[1,1,2,-1],[2,1,
3,2,4,-1,3,2,4,-1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,1,1,1,2,-1,3,-2,4,-1]],[[1,1,
2,1],[2,1,3,4,2,1,1,1,2,1,1,1]]],[[[1,1,2,1],[2,1,3,1],[4,1,3,1,1,1,2,-1,1,1,
2,-1,3,1,4,1]],[[1,1,2,1],[2,-2,3,2]],[[2,1,1,1],[1,1,2,-1,3,-2,2,-1,1,1,3,
2]]],[[[1,1,2,1],[2,1,3,1],[4,1,3,1,4,1,1,1,2,-1]],[[1,1,2,1],[1,1,2,-1,1,1,2,
-1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[3,2,2,1,3,1,4,2]],[[1,1,2,1],[3,1,1,1,2,1,1,
1,3,-2]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-2,3,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,2,
1,1,1,2,-1,3,1]],[[2,1,1,1],[3,2,2,-2]]],[[[1,1,2,1],[2,1,3,1],[4,1,3,2,4,
1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]]],[[[
1,1,2,1],[2,1,3,3,2,1,1,1,2,-1]],[[2,-2],[3,1,1,1,2,-2,1,1,3,1]]],[[[1,1,2,
1],[2,1,3,3,2,1,1,1,2,-1]],[[1,1,2,1],[3,2,1,1,2,-1,3,1,2,1]]],[[[1,1,2,1],[2,
-2,3,1,2,1,1,1,2,1,3,2]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2]]],[[[1,1,2,1],[2,1,3,
1],[4,1,3,1,4,1,1,1,2,-1]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2]]],[[[1,1,2,1],[2,1,
3,3,2,1,1,1,2,-1]],[[2,1,1,1],[2,1,3,3,2,-1,1,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,
4,1,3,-1,4,1,2,1,3,1,4,-1,1,1,2,-1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2,3,1]],[[1,
1,2,1],[2,1,1,1],[4,1,3,-1,4,3,3,-1]],[[2,1,1,1],[1,1,2,-1,3,-2,2,-1,1,1,3,
2]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-2,3,-1]],[[1,1,2,1],[1,1,2,-1,3,1,
2,1,1,1,2,-1,3,1]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[
4,1,2,-2,3,2,4,2]],[[1,1,2,1],[2,1,1,1,3,-1,2,-2,3,2]]],[[[1,1,2,1],[3,2,2,1,
1,1,2,-1,3,-2]],[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,1]],[[1,1,2,1],[2,1,3,1],[4,1,
3,1,2,1,1,1,4,-1]]],[[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1,3,1]],[[2,1,1,1],[1,1,
2,-1,1,1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,-2,3,3,4,1]],[[1,1,2,1],[3,1,
1,1,2,-1,3,-2]],[[1,1,2,1],[2,-2,3,1,1,1,2,-1,3,1,2,1]]],[[[1,1,2,1],[2,1,1,
1],[4,1,3,-2,4,2]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[3,
1,4,-2,3,1,2,1,4,-1]],[[1,1,2,1],[3,1,2,1,3,3,2,1]]],[[[1,1,2,1],[2,1,1,1],[4,
1,3,-1,2,-1,3,2,4,-1]],[[1,1,2,1],[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],[2,1,1,1],[3,2,4,-2,1,1,3,-1]],[[1,1,2,1],[2,1,1,1],[4,
2,3,-2,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,3,-1,4,2,3,-2]],[[1,1,2,1],[3,2,2,1,
1,1,2,-1,3,1]]],[[[1,1,2,1],[2,1,1,1,3,-2,2,-1,3,-1]],[[1,1,2,1],[3,1,1,1,2,
-1,3,-2]]],[[[2,1,1,1],[2,1,3,3,2,-1,1,1,2,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,
-2,2,-2,4,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,3,3,-1]],[[1,1,2,1],[1,1,2,
-1,3,2,1,1,2,1,1,1]]],[[[1,1,2,1],[2,-2,3,1,1,1,2,-1,3,1,2,1]],[[1,1,2,1],[3,
1,1,1,2,-1,3,-2]],[[2,1,1,1],[3,1,2,-2,1,1,2,-2,3,-1]]],[[[1,1,2,1],[2,1,1,
1],[3,2,4,-2,1,1,3,-1]],[[1,1,2,1],[3,1,2,1,3,3,2,1]]],[[[1,1,2,1],[2,1,1,1],[
3,1,2,1,3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,3,3,-1]],[[1,1,2,1],[
2,1,1,1,3,1,2,1,3,1]]],[[[1,1,2,1],[2,-2,3,3,2,1]],[[1,1,2,1],[3,1,1,1,2,-1,3,
-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,3,2,4,1]],[[1,1,2,1],[2,1,3,1,2,1,
1,1,2,-2,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,3,1,4,-1]],[[2,-2],[3,1,
1,1,2,-2,1,1,3,1]],[[1,1,2,-1,1,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1,3,-2,2,-1,3,
-1]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1,3,-1,2,-2,3,2,2,
1]],[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,
-2,3,-1]],[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,1]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,2,
1,1,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,2,1,1,1,4,1,2,-1,3,-2]],[[1,
1,2,1],[2,1,1,1],[3,2],[2,-2,5,1,4,1,2,1,1,1,2,1,3,1,4,1,5,-1]]],[[[1,1,2,1],[
3,2,2,1,1,1,2,-1,3,1]],[[1,1,2,-2,1,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,2,1,1,1,2,
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3,3,2,-1,1,1,2,-2]],[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,1]]],[[[1,1,2,1],[2,1,1,
1],[4,1,2,-2,3,2,2,1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-3,3,-2]],[[1,1,2,1],[
2,-1,3,2]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,-2,3,2]],[[1,1,2,
1],[2,1,1,1,3,1,2,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,3,-1]],[[
1,1,2,1],[2,-2,3,1,1,1,2,-1,3,1,2,1]],[[2,1,1,1],[3,1,2,-2,1,1,2,-2,3,
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2,1],[2,1,1,1],[4,1,3,-2,4,2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,4,2]],[[1,1,
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1,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1,3,2,2,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,
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1,2,-1]]],[[[1,1,2,1],[2,1,1,1,3,-1,2,-2,3,2]],[[1,1,2,-2,1,1]],[[2,-2]]],[[[
1,1,2,1],[3,2,2,1,1,1,2,-1,3,-2]],[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,1]],[[1,1,2,
1],[3,1,1,1,2,1,1,1,3,-2]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,2,1,1,1,4,-1]]],[[[1,
1,2,1],[2,1,1,1],[3,2,2,1,3,1,4,2]],[[1,1,2,1],[2,1,1,1,3,-2,2,1,3,1]]],[[[1,
1,2,1],[2,1,3,3,2,1,1,1,2,-1]],[[2,-2],[3,1,1,1,2,-2,1,1,3,1]],[[1,1,2,1],[3,
1,1,1,2,-1,3,-2]]],[[[1,1,2,1],[2,1,3,1],[4,1,3,2,4,1]],[[2,1,1,1],[2,1,3,3,2,
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1,1,1,2,1,1,1,3,-2]]],[[[1,1,2,1],[2,1,3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,
1],[3,1,2,1,3,1,4,-2,3,-1]]],[[[1,1,2,1],[2,1,3,1],[4,1,3,1,2,1,1,1,4,-1]],[[
1,1,2,1,1,1]]],[[[1,1]],[[2,1]]]]);



LIBTOM( "L3(4).3.2_2",
[[1],[1,2],[1,3],[1,4],[1,5],[1,6],[1,2,7],[1,2,8],[1,2,9],[1,2,10],[1,2,3,
11],[1,2,12],[1,13],[1,3,5,14],[1,3,4,15],[1,2,6,16],[1,3,6,17],[1,2,4,18],[1,
3,6,19],[1,20],[1,2,7,8,21],[1,2,7,9,22],[1,2,3,9,11,23],[1,2,3,8,11,24],[1,2,
7,10,25],[1,2,10,26],[1,2,10,12,27],[1,2,9,12,28],[1,2,8,12,29],[1,2,3,10,11,
30],[1,2,3,8,11,12,31],[1,2,3,7,11,12,32],[1,2,3,10,11,12,33],[1,2,8,9,10,
34],[1,2,3,9,11,12,35],[1,2,10,36],[1,6,37],[1,4,6,38],[1,5,6,39],[1,2,13,
40],[1,2,4,7,41],[1,2,4,7,42],[1,2,6,7,43],[1,2,4,7,18,44],[1,2,6,8,45],[1,2,
6,9,46],[1,2,4,12,18,47],[1,2,3,4,11,15,18,48],[1,2,3,6,11,16,17,19,49],[1,3,
20,50],[1,4,13,51],[1,2,7,9,22,52],[1,2,7,8,21,53],[1,2,7,10,25,54],[1,2,7,10,
25,26,55],[1,2,7,9,10,22,25,56],[1,2,7,8,10,21,25,57],[1,2,7,8,9,10,21,22,25,
34,58],[1,2,7,10,25,36,59],[1,2,3,7,9,11,12,22,23,28,32,35,60],[1,2,7,8,12,21,
29,61],[1,2,3,7,8,11,12,21,24,29,31,32,62],[1,2,3,7,10,11,12,25,27,30,32,33,
63],[1,2,7,9,12,22,28,64],[1,2,3,10,11,26,30,36,65],[1,2,3,8,9,10,11,12,27,28,
29,31,33,34,35,66],[1,2,3,8,9,10,11,12,23,24,30,31,33,34,35,67],[1,2,10,12,26,
27,36,68],[1,2,6,16,37,69],[1,3,4,6,15,17,38,70],[1,3,6,17,19,37,71],[1,2,4,6,
16,18,38,72],[1,3,4,6,15,19,38,73],[1,3,5,6,14,19,39,74],[1,2,12,13,40,75],[1,
6,20,76],[1,5,20,77],[1,5,20,78],[1,2,4,7,9,18,22,41,79],[1,2,4,10,18,26,80],[
1,2,4,7,8,18,21,42,81],[1,2,3,6,9,11,19,23,46,82],[1,2,3,4,7,11,12,15,32,42,
83],[1,2,6,8,9,10,16,34,46,84],[1,2,3,6,8,11,12,17,31,45,85],[1,2,3,6,8,11,19,
24,45,86],[1,2,3,6,9,11,12,17,35,46,87],[1,2,3,4,7,11,12,15,32,41,88],[1,2,6,
8,9,10,16,34,45,89],[1,2,3,6,7,11,12,17,32,43,90],[1,2,3,4,7,11,12,15,18,32,
44,47,48,91],[1,4,5,6,37,38,39,92],[1,2,4,13,18,40,51,93],[1,2,7,8,9,10,21,22,
25,34,53,57,58,94],[1,2,7,8,9,10,21,22,25,34,52,56,58,95],[1,2,3,7,9,11,12,22,
23,28,32,35,52,60,64,96],[1,2,3,7,8,11,12,21,24,29,31,32,53,61,62,97],[1,2,7,
8,9,10,12,21,22,25,28,34,58,64,98],[1,2,7,8,9,10,21,22,25,26,34,54,55,56,57,
58,99],[1,2,7,8,9,10,21,22,25,34,36,58,59,100],[1,2,3,7,8,9,10,11,12,21,22,23,
24,25,27,28,29,30,31,32,33,34,35,58,60,62,63,66,67,101],[1,2,7,8,9,10,12,21,
22,25,29,34,58,61,102],[1,2,3,7,10,11,12,25,27,30,32,33,36,54,59,63,103],[1,2,
3,7,9,10,11,12,22,23,25,28,32,35,56,60,64,104],[1,2,3,7,8,10,11,12,21,24,25,
29,31,32,57,61,62,105],[1,2,3,7,10,11,12,25,26,27,30,32,33,36,55,59,63,65,68,
106],[1,2,6,10,16,37,69,107],[1,2,3,6,11,16,17,19,37,49,69,71,108],[1,2,4,6,7,
18,38,41,42,43,44,109],[1,2,3,4,6,11,15,16,17,18,19,38,48,49,70,72,73,110],[1,
3,5,14,20,50,77,111],[1,3,6,19,20,50,76,112],[1,2,4,7,9,22,42,52,113],[1,2,4,
7,8,21,41,53,114],[1,2,6,7,8,21,43,45,53,115],[1,2,6,7,9,22,43,46,52,116],[1,
2,4,7,9,18,22,41,44,52,79,117],[1,2,4,7,8,18,21,42,44,53,81,118],[1,2,3,4,10,
11,15,18,26,30,36,48,65,80,119],[1,2,4,7,9,12,18,22,28,41,47,64,79,120],[1,2,
4,10,12,18,26,27,36,47,68,80,121],[1,2,4,7,8,12,18,21,29,42,47,61,81,122],[1,
2,3,4,7,8,11,12,15,18,21,24,29,31,32,42,48,62,81,83,123],[1,2,4,7,10,18,25,26,
44,55,80,124],[1,2,6,7,10,25,43,54,125],[1,2,3,4,7,9,11,12,15,18,22,23,28,32,
35,41,48,60,79,88,126],[1,2,3,6,8,9,10,11,12,16,17,19,23,24,30,31,33,34,35,46,
49,67,82,84,87,127],[1,2,3,6,8,9,10,11,12,16,17,19,23,24,30,31,33,34,35,45,49,
67,85,86,89,128],[1,3,4,5,6,15,17,19,37,38,39,70,71,92,129],[1,3,4,5,6,14,15,
17,19,37,38,39,71,73,74,92,130],[1,2,4,5,6,16,18,37,38,39,69,72,92,131],[1,2,
6,7,13,16,40,43,132],[1,2,6,8,13,16,40,45,133],[1,2,6,9,13,16,40,46,134],[1,2,
4,12,13,18,40,47,51,75,93,135],[1,5,6,20,39,76,77,78,136],[1,2,7,8,9,10,21,22,
25,26,34,52,53,54,55,56,57,58,94,95,99,137],[1,2,3,7,8,9,10,11,12,21,22,23,24,
25,26,27,28,29,30,31,32,33,34,35,36,54,55,56,57,58,59,60,62,63,65,66,67,68,99,
100,101,103,106,138],[1,2,7,8,9,10,12,21,22,25,26,28,29,34,54,55,56,57,58,61,
64,98,99,102,139],[1,2,3,7,8,9,10,11,12,21,22,23,24,25,27,28,29,30,31,32,33,
34,35,53,57,58,60,61,62,63,66,67,94,97,101,102,105,140],[1,2,7,8,9,10,12,21,
22,25,29,34,36,52,56,58,59,61,95,100,102,141],[1,2,3,7,8,9,10,11,12,21,22,23,
24,25,27,28,29,30,31,32,33,34,35,52,56,58,60,62,63,64,66,67,95,96,98,101,104,
142],[1,2,7,8,9,10,12,21,22,25,28,34,36,53,57,58,59,64,94,98,100,143],[1,2,6,
10,16,26,37,69,107,144],[1,2,3,6,10,11,16,17,19,30,37,49,69,71,107,108,145],[
1,2,6,10,16,36,37,69,107,146],[1,2,3,4,6,7,11,12,15,17,18,32,38,41,42,43,44,
47,48,70,83,88,90,91,109,147],[1,2,7,9,13,22,52,148],[1,2,7,8,13,21,53,149],[
1,2,3,4,7,9,11,12,15,22,23,28,32,35,42,52,60,64,83,96,113,150],[1,2,6,7,8,9,
10,16,21,22,25,34,43,46,52,56,58,84,95,116,151],[1,2,6,7,8,9,10,16,21,22,25,
34,43,45,53,57,58,89,94,115,152],[1,2,3,4,7,8,11,12,15,21,24,29,31,32,41,53,
61,62,88,97,114,153],[1,2,4,7,8,9,10,18,21,22,25,34,41,53,57,58,79,94,114,
154],[1,2,4,7,8,9,10,18,21,22,25,34,42,52,56,58,81,95,113,155],[1,2,3,6,7,9,
11,12,17,22,23,28,32,35,43,46,52,60,64,87,90,96,116,156],[1,2,3,6,7,8,11,12,
17,21,24,29,31,32,43,45,53,61,62,85,90,97,115,157],[1,2,3,6,7,8,11,12,19,21,
24,29,31,32,43,45,53,61,62,86,97,115,158],[1,2,3,6,7,9,11,12,19,22,23,28,32,
35,43,46,52,60,64,82,96,116,159],[1,2,3,4,7,10,11,12,15,18,25,26,27,30,32,33,
36,44,47,48,55,59,63,65,68,80,91,106,119,121,124,160],[1,2,3,6,7,10,11,12,17,
25,27,30,32,33,36,43,54,59,63,90,103,125,161],[1,2,3,4,7,9,11,12,15,18,22,23,
28,32,35,41,44,47,48,52,60,64,79,88,91,96,117,120,126,162],[1,2,3,4,7,8,11,12,
15,18,21,24,29,31,32,42,44,47,48,53,61,62,81,83,91,97,118,122,123,163],[1,2,3,
4,5,6,11,14,15,16,17,18,19,37,38,39,48,49,69,70,71,72,73,74,92,108,110,129,
130,131,164],[1,2,3,6,8,11,12,13,16,17,19,31,40,45,49,75,85,133,165],[1,2,3,6,
9,11,12,13,16,17,19,35,40,46,49,75,87,134,166],[1,2,3,6,7,11,12,13,16,17,19,
32,40,43,49,75,90,132,167],[1,3,5,6,14,19,20,39,50,74,76,77,78,111,112,136,
168],[1,2,3,7,8,9,10,11,12,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,52,
53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,94,95,96,97,98,99,100,101,102,
103,104,105,106,137,138,139,140,141,142,143,169],[1,2,4,6,7,8,18,21,38,41,42,
43,44,45,53,81,109,114,115,118,170],[1,2,4,6,7,9,18,22,38,41,42,43,44,46,52,
79,109,113,116,117,171],[1,2,3,6,10,11,16,17,19,26,30,36,37,49,65,69,71,107,
108,144,145,146,172],[1,2,7,8,9,10,13,21,22,25,34,40,53,57,58,94,149,173],[1,
2,7,8,9,10,13,21,22,25,34,40,52,56,58,95,148,174],[1,2,6,8,9,10,16,20,34,45,
46,76,84,89,175],[1,2,4,6,7,13,16,18,38,40,41,42,43,44,51,72,93,109,132,176],[
1,2,4,7,8,9,10,18,21,22,25,26,34,41,42,44,52,53,54,55,56,57,58,79,80,81,94,95,
99,117,118,124,137,177],[1,2,6,7,8,9,10,21,22,25,26,34,43,45,46,52,53,54,55,
56,57,58,94,95,99,115,116,125,137,178],[1,2,4,7,8,9,10,18,21,22,25,26,34,41,
44,52,53,54,55,56,57,58,79,94,95,99,114,117,137,154,179],[1,2,4,7,8,9,10,18,
21,22,25,26,34,42,44,52,53,54,55,56,57,58,81,94,95,99,113,118,137,155,180],[1,
2,4,7,8,9,10,12,18,21,22,25,29,34,36,42,47,52,56,58,59,61,81,95,100,102,113,
122,141,155,181],[1,2,3,4,7,8,9,10,11,12,15,18,21,22,23,24,25,27,28,29,30,31,
32,33,34,35,42,48,52,56,58,60,62,63,64,66,67,81,83,95,96,98,101,104,113,123,
142,150,155,182],[1,2,3,4,7,8,9,10,11,12,15,18,21,22,23,24,25,27,28,29,30,31,
32,33,34,35,41,48,53,57,58,60,61,62,63,66,67,79,88,94,97,101,102,105,114,126,
140,153,154,183],[1,2,4,7,8,9,10,12,18,21,22,25,28,34,36,41,47,53,57,58,59,64,
79,94,98,100,114,120,143,154,184],[1,2,3,6,7,8,9,10,11,12,16,17,19,21,22,23,
24,25,27,28,29,30,31,32,33,34,35,43,46,49,52,56,58,60,62,63,64,66,67,82,84,87,
90,95,96,98,101,104,116,127,142,151,156,159,185],[1,2,3,6,7,8,9,10,11,12,16,
17,19,21,22,23,24,25,27,28,29,30,31,32,33,34,35,43,45,49,53,57,58,60,61,62,63,
66,67,85,86,89,90,94,97,101,102,105,115,128,140,152,157,158,186],[1,2,4,5,6,
10,16,18,26,37,38,39,69,72,80,92,107,131,144,187],[1,2,4,7,8,13,21,41,51,53,
114,149,188],[1,2,4,7,9,13,22,42,51,52,113,148,189],[1,2,4,6,7,8,9,10,16,18,
21,22,25,34,38,41,42,43,44,46,52,56,58,72,79,81,84,95,109,113,116,117,151,155,
171,190],[1,2,3,4,6,7,9,11,12,15,17,18,22,23,28,32,35,38,41,42,43,44,46,47,48,
52,60,64,70,79,83,87,88,90,91,96,109,113,116,117,120,126,147,150,156,162,171,
191],[1,2,3,4,6,7,9,11,12,15,18,19,22,23,28,32,35,38,41,42,43,44,46,52,60,64,
73,79,82,83,96,109,113,116,117,150,159,171,192],[1,2,3,4,6,7,8,11,12,15,18,19,
21,24,29,31,32,38,41,42,43,44,45,53,61,62,73,81,86,88,97,109,114,115,118,153,
158,170,193],[1,2,3,4,6,7,8,11,12,15,17,18,21,24,29,31,32,38,41,42,43,44,45,
47,48,53,61,62,70,81,83,85,88,90,91,97,109,114,115,118,122,123,147,153,157,
163,170,194],[1,2,4,6,7,8,9,10,16,18,21,22,25,34,38,41,42,43,44,45,53,57,58,
72,79,81,89,94,109,114,115,118,152,154,170,195],[1,2,7,8,9,10,12,13,21,22,25,
29,34,36,40,52,56,58,59,61,75,95,100,102,141,148,174,196],[1,2,7,8,9,10,12,13,
21,22,25,28,34,36,40,53,57,58,59,64,75,94,98,100,143,149,173,197],[1,2,3,6,8,
9,10,11,12,16,17,19,20,23,24,30,31,33,34,35,45,46,49,50,67,76,82,84,85,86,87,
89,112,127,128,175,198],[1,2,6,8,9,10,13,16,34,37,40,45,46,69,84,89,107,133,
134,199],[1,2,3,4,6,7,11,12,13,15,16,17,18,19,32,38,40,41,42,43,44,47,48,49,
51,70,72,73,75,83,88,90,91,93,109,110,132,135,147,167,176,200],[1,2,3,4,7,8,9,
10,11,12,15,18,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,41,44,47,48,52,
53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,79,88,91,94,95,96,97,98,99,
100,101,102,103,104,105,106,114,117,120,126,137,138,139,140,141,142,143,153,
154,162,169,179,183,184,201],[1,2,3,4,7,8,9,10,11,12,15,18,21,22,23,24,25,26,
27,28,29,30,31,32,33,34,35,36,42,44,47,48,52,53,54,55,56,57,58,59,60,61,62,63,
64,65,66,67,68,81,83,91,94,95,96,97,98,99,100,101,102,103,104,105,106,113,118,
122,123,137,138,139,140,141,142,143,150,155,163,169,180,181,182,202],[1,2,3,4,
7,8,9,10,11,12,15,18,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,41,42,44,
47,48,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,79,80,81,83,88,91,94,
95,96,97,98,99,100,101,102,103,104,105,106,117,118,119,120,121,122,123,124,
126,137,138,139,140,141,142,143,160,162,163,169,177,203],[1,2,3,6,7,8,9,10,11,
12,17,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,43,45,46,52,53,54,55,56,
57,58,59,60,61,62,63,64,65,66,67,68,85,87,90,94,95,96,97,98,99,100,101,102,
103,104,105,106,115,116,125,137,138,139,140,141,142,143,156,157,161,169,178,
204],[1,2,3,4,5,6,10,11,14,15,16,17,18,19,26,30,36,37,38,39,48,49,65,69,70,71,
72,73,74,80,92,107,108,110,119,129,130,131,144,145,146,164,172,187,205],[1,2,
4,7,8,9,10,13,18,21,22,25,34,40,42,51,52,56,58,81,93,95,113,148,155,174,189,
206],[1,2,4,7,8,9,10,13,18,21,22,25,34,40,41,51,53,57,58,79,93,94,114,149,154,
173,188,207],[1,2,4,6,7,8,9,10,18,21,22,25,26,34,38,41,42,43,44,45,46,52,53,
54,55,56,57,58,79,80,81,94,95,99,109,113,114,115,116,117,118,124,125,137,154,
155,170,171,177,178,179,180,208],[1,2,3,4,6,7,8,9,10,11,12,15,16,17,18,19,21,
22,23,24,25,27,28,29,30,31,32,33,34,35,38,41,42,43,44,45,47,48,49,53,57,58,60,
61,62,63,66,67,70,72,73,79,81,83,85,86,88,89,90,91,94,97,101,102,105,109,110,
114,115,118,122,123,126,128,140,147,152,153,154,157,158,163,170,183,186,193,
194,195,209],[1,2,3,4,6,7,8,9,10,11,12,15,16,17,18,19,21,22,23,24,25,27,28,29,
30,31,32,33,34,35,38,41,42,43,44,46,47,48,49,52,56,58,60,62,63,64,66,67,70,72,
73,79,81,82,83,84,87,88,90,91,95,96,98,101,104,109,110,113,116,117,120,123,
126,127,142,147,150,151,155,156,159,162,171,182,185,190,191,192,210],[1,2,3,6,
8,9,10,11,12,13,16,17,19,23,24,30,31,33,34,35,37,40,45,46,49,67,69,71,75,82,
84,85,86,87,89,107,108,127,128,133,134,145,165,166,199,211],[1,2,6,7,8,9,10,
13,16,21,22,25,26,34,40,43,45,46,52,53,54,55,56,57,58,84,94,95,99,115,116,125,
132,133,137,148,151,174,178,212],[1,2,6,7,8,9,10,13,16,21,22,25,26,34,40,43,
45,46,52,53,54,55,56,57,58,89,94,95,99,115,116,125,132,134,137,149,152,173,
178,213],[1,2,4,7,8,9,10,12,13,18,21,22,25,29,34,36,40,42,47,51,52,56,58,59,
61,75,81,93,95,100,102,113,122,135,141,148,155,174,181,189,196,206,214],[1,2,
4,7,8,9,10,12,13,18,21,22,25,28,34,36,40,41,47,51,53,57,58,59,64,75,79,93,94,
98,100,114,120,135,143,149,154,173,184,188,197,207,215],[1,2,3,4,6,7,8,9,10,
11,12,15,17,18,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,38,41,42,43,44,
45,46,47,48,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,79,80,81,83,
85,87,88,90,91,94,95,96,97,98,99,100,101,102,103,104,105,106,109,113,114,115,
116,117,118,119,120,121,122,123,124,125,126,137,138,139,140,141,142,143,147,
150,153,154,155,156,157,160,161,162,163,169,170,171,177,178,179,180,181,182,
183,184,191,194,201,202,203,204,208,216],[1,2,3,6,7,8,9,10,11,12,13,16,17,19,
21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,40,43,45,46,49,52,53,54,55,56,
57,58,59,60,61,62,63,64,65,66,67,68,75,82,84,85,87,90,94,95,96,97,98,99,100,
101,102,103,104,105,106,115,116,125,127,132,133,137,138,139,140,141,142,143,
148,151,156,157,159,161,165,167,169,174,178,185,196,204,212,217],[1,2,3,6,7,8,
9,10,11,12,13,16,17,19,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,40,43,
45,46,49,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,75,85,86,87,89,90,
94,95,96,97,98,99,100,101,102,103,104,105,106,115,116,125,128,132,134,137,138,
139,140,141,142,143,149,152,156,157,158,161,166,167,169,173,178,186,197,204,
213,218],[1,2,4,6,7,8,9,10,13,16,18,21,22,25,26,34,38,40,41,42,43,44,45,46,51,
52,53,54,55,56,57,58,72,79,80,81,84,93,94,95,99,109,113,114,115,116,117,118,
124,125,132,133,137,148,151,154,155,170,171,174,176,177,178,179,180,189,190,
206,208,212,219],[1,2,4,6,7,8,9,10,13,16,18,21,22,25,26,34,38,40,41,42,43,44,
45,46,51,52,53,54,55,56,57,58,72,79,80,81,89,93,94,95,99,109,113,114,115,116,
117,118,124,125,132,134,137,149,152,154,155,170,171,173,176,177,178,179,180,
188,195,207,208,213,220],[1,2,3,4,6,7,8,9,10,11,12,13,15,16,17,18,19,21,22,23,
24,25,26,27,28,29,30,31,32,33,34,35,36,38,40,41,42,43,44,45,46,47,48,49,51,52,
53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,72,73,75,79,80,81,82,83,84,
85,87,88,90,91,93,94,95,96,97,98,99,100,101,102,103,104,105,106,109,110,113,
114,115,116,117,118,119,120,121,122,123,124,125,126,127,132,133,135,137,138,
139,140,141,142,143,147,148,150,151,153,154,155,156,157,159,160,161,162,163,
165,167,169,170,171,174,176,177,178,179,180,181,182,183,184,185,189,190,191,
192,194,196,200,201,202,203,204,206,208,210,212,214,216,217,219,221],[1,2,3,4,
6,7,8,9,10,11,12,13,15,16,17,18,19,21,22,23,24,25,26,27,28,29,30,31,32,33,34,
35,36,38,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,
64,65,66,67,68,70,72,73,75,79,80,81,83,85,86,87,88,89,90,91,93,94,95,96,97,98,
99,100,101,102,103,104,105,106,109,110,113,114,115,116,117,118,119,120,121,
122,123,124,125,126,128,132,134,135,137,138,139,140,141,142,143,147,149,150,
152,153,154,155,156,157,158,160,161,162,163,166,167,169,170,171,173,176,177,
178,179,180,181,182,183,184,186,188,191,193,194,195,197,200,201,202,203,204,
207,208,209,213,215,216,218,220,222],[1,2,6,7,8,9,10,13,16,20,21,22,25,26,34,
37,40,43,45,46,52,53,54,55,56,57,58,69,76,84,89,94,95,99,107,115,116,125,132,
133,134,137,144,148,149,151,152,173,174,175,178,199,212,213,223],[1,2,3,6,7,8,
9,10,11,12,13,16,17,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,
40,43,45,46,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,75,
76,82,84,85,86,87,89,90,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,
112,115,116,125,127,128,132,133,134,137,138,139,140,141,142,143,144,145,146,
148,149,151,152,156,157,158,159,161,165,166,167,169,172,173,174,175,178,185,
186,196,197,198,199,204,211,212,213,217,218,223,224],[1,2,4,5,6,7,8,9,10,13,
16,18,20,21,22,25,26,34,37,38,39,40,41,42,43,44,45,46,51,52,53,54,55,56,57,58,
69,72,76,77,78,79,80,81,84,89,92,93,94,95,99,107,109,113,114,115,116,117,118,
124,125,131,132,133,134,136,137,144,148,149,151,152,154,155,170,171,173,174,
175,176,177,178,179,180,187,188,189,190,195,199,206,207,208,212,213,219,220,
223,225],[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]],
0,[[1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,3,1],[1,3,1],[1,3,1],[1,1,1],[1,1,2,
1],[1,1,1],[1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,1,1,1],[1,1,1,1],[
1,1],[1,7,1,6,1],[1,7,1,6,1],[1,3,4,1,6,1],[1,3,4,1,6,1],[1,3,1,2,1],[1,1,3,
1],[1,1,1,2,1],[1,3,1,2,1],[1,3,1,2,1],[1,1,4,1,2,1],[1,3,2,1,1,1,1],[1,3,2,1,
1,1,1],[1,1,2,1,1,1,1],[1,5,1,1,1,1],[1,3,2,1,1,1,1],[1,1,1,1],[1,4,1],[1,3,1,
1],[1,3,1,1],[1,5,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,1,1,3,1],[1,3,
4,1,1],[1,3,4,1,1],[1,1,1,3,1,1],[1,1,6,1,3,2,1,1],[1,3,4,1,3,1,1,1,1],[1,1,1,
1],[1,1,1,1],[1,15,5,30,15,1],[1,15,5,30,15,1],[1,3,1,6,3,1],[1,3,1,6,3,4,1],[
1,7,1,6,4,1,2,1],[1,7,1,6,4,1,2,1],[1,11,1,6,6,2,1,1,1,4,1],[1,3,1,2,1,2,1],[
1,7,4,1,6,6,2,1,1,1,2,2,1],[1,7,1,6,4,1,2,1],[1,7,4,1,6,6,2,1,1,1,2,2,1],[1,3,
4,1,2,2,2,1,1,1,2,2,1],[1,7,1,6,4,1,2,1],[1,1,4,3,2,1,1,1,1],[1,5,2,1,1,1,1,3,
1,1,1,1,1,1,1,1],[1,5,6,1,1,1,11,1,1,1,1,1,1,1,1,1],[1,1,3,2,1,1,1,1],[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],[1,3,3,1,1,3,1,1],[1,5,5,1,1,1],[1,7,1,1],[1,1,1,1],[1,7,1,1],[1,7,4,1,6,4,
1,1,1],[1,1,4,3,4,1,1],[1,7,4,1,6,4,1,1,1],[1,3,4,4,1,6,4,1,1,1],[1,3,6,4,1,3,
3,4,3,1,1],[1,9,4,3,1,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,4,4,1,6,4,1,1,
1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,9,4,1,3,3,4,3,1,1],[1,3,
6,4,1,3,3,4,3,1,1],[1,3,6,1,1,3,3,2,3,3,1,1,1,1],[1,3,6,4,1,1,2,1],[1,5,1,1,5,
1,1,1],[1,19,5,30,6,6,15,1,3,12,1,3,3,1],[1,19,5,6,30,6,1,15,3,12,1,3,3,1],[1,
15,4,5,30,6,6,15,1,3,6,6,1,3,3,1],[1,15,4,5,30,6,6,15,1,3,6,6,1,3,3,1],[1,11,
1,6,6,2,8,1,1,1,4,4,1,2,1],[1,11,1,6,6,10,1,1,5,4,4,1,1,2,2,1,1],[1,11,1,6,6,
2,1,1,1,4,4,1,2,1],[1,11,8,1,6,6,2,20,4,1,1,2,2,1,2,2,2,2,4,4,4,4,4,1,2,2,2,4,
4,1],[1,11,1,6,6,2,8,1,1,1,4,4,1,2,1],[1,3,4,1,6,2,2,3,1,1,2,2,2,1,1,1,1],[1,
7,4,1,6,4,6,6,1,1,2,3,2,2,1,1,1,1],[1,7,4,1,6,4,6,6,1,1,2,3,2,2,1,1,1,1],[1,3,
4,1,6,2,2,3,4,1,1,2,2,2,1,1,1,2,2,1],[1,9,4,9,12,1,1,1],[1,9,6,4,9,12,2,6,1,6,
1,2,1],[1,3,9,4,1,3,4,1,1,1,1,1],[1,3,12,3,1,9,10,1,3,3,3,1,3,3,1,1,1,1],[1,3,
1,1,1,3,1,1],[1,1,7,7,1,1,1,1],[1,15,16,5,30,15,20,1,1],[1,15,16,5,30,15,20,1,
1],[1,15,16,5,30,15,8,12,1,1],[1,15,16,5,30,15,8,12,1,1],[1,15,4,5,30,12,15,1,
4,1,3,1],[1,15,4,5,30,12,15,1,4,1,3,1],[1,1,12,4,3,6,8,4,1,3,3,4,3,1,1],[1,7,
4,1,6,12,4,1,6,1,4,3,1,1],[1,1,4,3,6,4,1,3,3,4,3,1,1],[1,7,4,1,6,12,4,1,6,1,4,
3,1,1],[1,7,12,4,1,6,18,6,8,4,1,3,3,6,6,1,4,3,1,2,1],[1,3,4,1,6,12,3,4,4,1,1,
1],[1,3,16,1,6,3,4,1,1],[1,7,12,4,1,6,18,6,8,4,1,3,3,6,6,1,4,3,1,2,1],[1,9,10,
4,3,1,3,21,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,9,10,4,1,3,3,21,3,4,4,4,3,
1,3,3,3,3,3,1,4,3,1,1,1,1],[1,9,3,6,4,9,3,9,1,1,2,1,3,1,1],[1,9,3,6,4,6,3,3,9,
1,1,2,3,3,6,1,1],[1,9,3,6,4,12,9,1,1,2,1,3,1,1],[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],[1,5,1,15,1,5,1,5,1,3,1,1],[1,15,7,1,
7,1,1,2,1],[1,27,9,30,30,18,15,15,9,12,36,1,1,3,3,9,9,9,3,3,9,1],[1,11,8,1,6,
6,10,20,4,1,1,2,2,5,4,2,2,2,2,4,4,4,4,4,4,1,1,2,2,1,2,2,2,2,4,4,4,4,1,1,1,2,2,
1],[1,11,1,6,6,10,16,1,1,5,4,4,4,4,1,1,2,2,1,2,2,1,1,1,1],[1,19,8,5,30,6,6,20,
12,15,1,2,2,3,2,2,6,2,12,12,4,12,4,1,3,3,2,6,6,2,4,4,1,2,1,1,2,1],[1,19,5,6,
30,6,8,1,15,3,4,12,4,1,3,3,2,2,1,1,1,1],[1,19,8,5,6,30,6,20,12,1,15,2,2,3,2,6,
2,2,4,12,4,12,12,1,3,3,6,2,2,6,4,4,1,2,1,1,2,1],[1,19,5,30,6,6,8,15,1,3,4,12,
4,1,3,3,2,2,1,1,1,1],[1,9,4,27,12,9,1,1,3,1],[1,9,12,4,9,18,12,4,12,9,1,12,1,
4,1,2,1],[1,9,4,9,12,9,1,1,1,1],[1,3,18,9,4,1,9,9,30,12,3,9,4,1,1,1,1,3,3,4,3,
3,3,3,1,1],[1,15,5,30,16,15,1,1],[1,15,5,30,16,15,1,1],[1,15,12,16,5,30,18,18,
16,15,3,9,18,18,20,1,9,9,12,3,1,1],[1,27,16,5,18,30,18,16,3,15,9,36,8,12,1,9,
9,12,3,1,1],[1,27,16,5,30,18,18,16,15,3,9,36,8,12,1,9,9,12,3,1,1],[1,15,12,16,
5,30,18,18,16,15,3,9,18,18,20,1,9,9,12,3,1,1],[1,19,16,5,30,6,6,16,15,1,3,12,
20,1,3,3,4,1,1,1],[1,19,16,5,6,30,6,16,1,15,3,12,20,1,3,3,4,1,1,1],[1,15,12,
16,5,30,18,18,16,15,3,9,18,18,8,12,1,9,9,4,8,3,1,1],[1,15,12,16,5,30,18,18,16,
15,3,9,18,18,8,12,1,9,9,4,8,3,1,1],[1,15,4,16,5,30,6,6,16,15,1,3,6,6,8,12,1,3,
3,4,1,1,1],[1,15,4,16,5,30,6,6,16,15,1,3,6,6,8,12,1,3,3,4,1,1,1],[1,3,12,4,1,
6,6,6,8,12,3,4,3,3,6,6,6,4,4,4,1,3,3,6,6,1,4,3,1,1,1,1],[1,3,12,16,1,6,6,6,16,
3,3,3,6,6,6,4,1,3,3,4,3,1,1],[1,15,12,4,5,30,18,18,8,12,15,3,9,18,18,1,4,4,4,
1,9,9,3,2,4,3,1,1,1,1],[1,15,12,4,5,30,18,18,8,12,15,3,9,18,18,1,4,4,4,1,9,9,
3,2,4,3,1,1,1,1],[1,9,18,3,6,4,27,6,12,12,6,9,18,1,1,2,9,18,1,1,6,3,3,6,1,3,3,
1,1,1,1],[1,15,10,10,5,15,15,6,10,10,10,15,6,5,10,6,5,1,1],[1,15,10,10,5,15,
15,6,10,10,10,15,6,5,10,6,5,1,1],[1,15,10,10,5,15,15,6,10,10,10,15,6,5,10,6,5,
1,1],[1,3,15,7,1,21,1,7,3,7,1,1,2,1,3,1,1],[1,27,8,9,30,30,18,20,20,15,15,2,2,
9,12,2,6,6,2,12,20,4,36,12,4,1,1,3,3,9,9,9,2,6,6,6,2,6,4,4,4,4,3,3,2,2,1,9,1,
1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,15,24,16,5,30,24,15,16,20,2,8,8,12,1,6,8,1,1,
2,1],[1,15,24,16,5,30,24,15,16,2,20,8,8,12,1,6,8,1,1,2,1],[1,9,12,4,27,18,12,
4,12,9,9,9,1,12,9,1,4,3,2,1,1,1,1],[1,35,5,30,30,30,16,15,5,15,60,16,1,15,15,
5,1,1],[1,35,5,30,30,30,16,5,15,15,60,16,1,15,15,5,1,1],[1,21,28,7,7,21,28,8,
21,7,7,8,7,7,1],[1,15,21,10,5,6,10,15,10,6,5,5,5,5,6,10,6,5,1,1],[1,27,16,9,
30,30,18,48,15,15,9,12,36,4,4,16,1,1,3,3,9,9,9,12,12,12,3,3,9,4,4,12,1,1],[1,
27,64,9,30,30,18,15,15,9,12,36,48,48,48,1,1,3,3,9,9,9,3,3,9,4,4,12,1,1],[1,27,
16,9,30,30,18,48,15,15,9,12,36,20,16,1,1,3,3,9,9,9,12,3,3,9,1,4,1,3,1],[1,27,
16,9,30,30,18,48,15,15,9,12,36,20,16,1,1,3,3,9,9,9,12,3,3,9,1,4,1,3,1],[1,19,
16,5,6,30,6,24,16,1,15,3,12,12,12,20,16,1,3,3,6,6,4,1,3,3,1,4,3,1,1],[1,19,24,
16,5,6,30,6,60,36,32,16,1,15,6,6,3,6,18,6,6,12,36,12,12,36,20,16,1,3,3,18,6,6,
18,12,12,4,24,1,6,3,3,6,1,4,3,2,1,1],[1,19,24,16,5,30,6,6,60,36,32,16,15,1,6,
6,3,6,6,18,6,36,36,12,12,12,20,16,1,3,3,6,18,18,6,12,12,4,24,1,6,3,3,6,1,4,3,
2,1,1],[1,19,16,5,30,6,6,24,16,15,1,3,12,12,12,20,16,1,3,3,6,6,4,1,3,3,1,4,3,
1,1],[1,27,16,16,5,18,30,18,48,24,16,16,16,3,15,4,6,9,6,12,6,6,12,24,12,36,24,
8,12,16,1,9,9,12,6,6,12,12,12,4,12,4,8,3,4,3,3,6,1,4,3,1,1,1,1],[1,27,16,16,5,
30,18,18,48,24,16,16,16,15,3,6,4,9,6,6,12,6,24,24,12,36,12,8,12,16,1,9,9,6,12,
12,6,12,12,4,4,12,8,3,4,3,3,6,1,4,3,1,1,1,1],[1,9,12,24,4,27,12,36,9,1,4,8,1,
12,9,4,3,4,1,1],[1,15,16,5,30,16,15,20,16,1,1,1,1],[1,15,16,5,30,16,15,20,16,
1,1,1,1],[1,27,24,16,5,18,30,18,16,72,3,15,9,36,16,2,20,8,8,12,1,9,9,16,6,12,
12,3,8,1,1,2,1,3,1,1],[1,15,36,24,16,5,30,54,54,96,48,24,15,9,27,54,54,16,2,
20,8,8,12,24,24,1,27,27,16,6,36,12,12,24,24,9,8,1,1,2,6,6,8,3,3,6,1,1],[1,15,
12,24,16,5,30,18,18,16,24,48,15,3,9,18,18,16,2,20,8,8,12,1,9,9,16,6,12,12,3,8,
1,1,2,1,3,1,1],[1,15,12,24,16,5,30,18,18,16,24,48,15,3,9,18,18,16,20,2,8,8,12,
1,9,9,16,6,12,12,3,8,1,1,2,1,3,1,1],[1,15,36,24,16,5,30,54,54,96,48,24,15,9,
27,54,54,16,20,2,8,8,12,24,24,1,27,27,16,6,12,12,36,24,24,9,8,1,1,2,6,6,8,3,3,
6,1,1],[1,27,24,16,5,30,18,18,16,72,15,3,9,36,16,20,2,8,8,12,1,9,9,16,12,6,12,
3,8,1,1,2,1,3,1,1],[1,35,5,30,30,30,40,16,5,15,15,20,60,20,16,1,15,15,10,10,
16,5,5,5,5,1,1,1],[1,35,5,30,30,30,40,16,15,5,15,20,60,20,16,1,15,15,10,10,16,
5,5,5,5,1,1,1],[1,21,22,28,7,7,21,63,21,28,28,28,8,7,7,21,21,21,21,21,7,7,28,
8,21,8,7,7,7,7,7,7,8,7,7,1,1],[1,45,40,15,15,45,36,120,45,10,36,15,15,10,15,
15,10,6,6,1],[1,15,30,21,10,5,45,45,6,70,10,30,15,30,45,10,6,5,5,5,5,15,15,30,
6,10,10,10,18,15,15,15,15,6,5,10,1,6,5,3,1,1],[1,27,24,16,9,30,30,18,60,60,32,
48,15,15,6,6,9,12,6,18,18,6,36,60,12,36,36,12,20,16,16,16,1,1,3,3,9,9,9,6,18,
18,18,6,18,12,12,12,12,12,24,16,3,3,6,6,3,9,3,3,3,6,6,6,6,1,4,4,4,1,3,3,3,3,3,
3,2,3,4,3,1,1,1,1],[1,27,24,16,9,30,30,18,60,60,32,48,15,15,6,6,9,12,6,18,18,
6,36,60,12,36,36,12,20,16,16,16,1,1,3,3,9,9,9,6,18,18,18,6,18,12,12,12,12,12,
24,16,3,3,6,6,3,9,3,3,3,6,6,6,6,1,4,4,4,1,3,3,3,3,3,3,2,3,4,3,1,1,1,1],[1,27,
24,16,9,30,30,18,60,60,32,48,15,15,6,6,9,12,6,18,18,6,36,60,12,36,36,12,4,4,
16,16,16,1,1,3,3,9,9,9,6,18,18,18,6,18,12,12,12,12,12,12,12,8,8,16,3,3,6,6,3,
9,3,3,3,6,6,6,6,4,4,4,4,4,4,4,12,4,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,27,24,64,9,
30,30,18,60,60,64,15,15,6,6,9,12,6,18,18,6,36,60,12,36,36,12,48,48,48,1,1,3,3,
9,9,9,6,18,18,18,6,18,12,12,12,12,16,16,48,3,3,6,6,3,9,3,3,3,6,6,6,6,4,4,12,1,
3,3,3,3,3,3,4,4,4,3,1,1],[1,9,36,12,24,4,27,54,24,48,12,12,36,36,9,27,27,1,4,
8,36,36,27,1,4,12,12,12,24,9,4,3,6,12,9,4,4,4,1,3,3,4,3,1,1],[1,35,16,5,30,30,
30,16,80,5,15,15,60,16,20,16,1,15,15,20,16,5,1,1,5,1,1,1],[1,35,16,5,30,30,30,
16,80,15,5,15,60,16,20,16,1,15,15,20,16,5,1,1,5,1,1,1],[1,27,48,64,9,30,30,18,
144,15,15,9,12,36,64,24,24,48,48,48,48,1,1,3,3,9,9,9,24,12,24,3,3,9,48,1,1,4,
4,8,8,12,12,1,3,3,4,4,1,1,1,1,1],[1,27,48,24,16,5,30,18,18,144,72,112,16,48,
72,48,15,3,18,12,9,18,18,36,18,72,72,36,36,36,16,20,2,8,8,12,24,72,48,1,9,9,
18,36,36,18,36,36,16,16,16,12,6,12,12,12,48,12,24,24,3,12,9,9,18,8,16,1,1,2,6,
6,12,12,9,8,1,4,3,3,3,6,1,3,3,1,1,1,1],[1,27,48,24,16,5,18,30,18,144,72,112,
16,48,72,48,3,15,12,18,9,18,36,18,18,36,72,36,36,72,16,2,20,8,8,12,24,72,48,1,
9,9,36,18,18,36,36,36,16,16,16,6,12,12,48,12,12,12,24,24,3,12,9,9,18,8,16,1,1,
2,6,12,6,12,9,8,4,1,3,3,3,6,1,3,3,1,1,1,1],[1,45,30,40,15,15,45,135,45,36,120,
40,120,15,15,45,45,45,45,45,10,36,15,15,120,45,10,40,36,15,15,15,15,15,15,10,
20,15,15,6,6,10,6,6,1,1],[1,75,160,25,150,30,90,96,160,75,15,45,60,180,96,160,
240,120,1,5,15,15,45,45,45,120,15,15,45,20,10,60,16,48,5,6,10,6,5,1],[1,75,
160,25,30,150,90,96,160,15,75,45,60,180,96,160,120,240,5,1,15,15,45,45,45,120,
15,15,45,10,20,60,16,48,5,6,10,6,5,1],[1,35,16,5,30,30,30,120,16,80,5,15,15,
60,60,60,16,20,80,16,1,15,15,30,30,48,20,16,5,15,15,1,20,16,15,1,5,1,5,1,3,1,
1],[1,35,16,5,30,30,30,120,16,80,15,5,15,60,60,60,16,20,80,16,1,15,15,30,30,
48,20,16,5,15,15,1,20,16,15,1,5,1,5,1,3,1,1],[1,27,72,48,64,9,30,30,18,180,
180,288,192,144,15,15,18,18,9,12,18,54,54,18,108,180,36,36,108,36,64,24,24,48,
48,48,48,144,144,1,1,3,3,9,9,9,18,54,54,54,18,54,36,36,36,36,64,24,12,24,96,
48,48,96,144,144,3,3,18,18,9,9,9,9,9,18,18,18,18,48,1,1,4,4,8,8,12,24,12,24,
24,12,12,24,1,9,9,9,9,9,9,48,6,6,3,3,12,12,12,12,24,24,9,4,4,1,1,1,1,3,3,3,3,
4,4,3,3,3,3,1,1],[1,75,40,160,25,150,30,90,180,180,96,160,160,160,75,15,10,30,
45,60,30,30,90,30,180,180,60,180,60,60,96,160,240,120,160,1,5,15,15,45,45,45,
30,30,90,90,30,30,60,60,60,60,96,40,120,80,40,160,15,15,10,30,15,45,15,15,15,
30,30,30,30,20,10,60,40,16,48,5,15,15,15,15,15,15,6,10,10,20,10,20,16,16,15,6,
5,10,6,5,1,1],[1,75,40,160,25,30,150,90,180,180,96,160,160,160,15,75,30,10,45,
60,30,90,30,30,60,180,60,180,180,60,96,160,120,240,160,5,1,15,15,45,45,45,30,
90,30,30,30,90,60,60,60,60,96,40,40,80,120,160,15,15,30,10,15,45,15,15,15,30,
30,30,30,10,20,60,40,16,48,5,15,15,15,15,15,15,6,10,20,10,10,20,16,16,15,6,5,
10,6,5,1,1],[1,75,96,160,25,150,30,90,96,160,480,75,15,45,60,180,160,96,100,
40,160,160,240,120,96,1,5,15,15,45,45,45,160,60,60,120,120,96,15,15,45,160,1,
5,20,10,20,40,60,60,16,48,5,6,10,15,15,20,10,6,16,5,5,5,5,6,10,6,5,1,1],[1,75,
96,160,25,30,150,90,96,160,480,15,75,45,60,180,160,96,40,100,160,160,120,240,
96,5,1,15,15,45,45,45,160,120,60,60,120,96,15,15,45,160,5,1,10,20,40,20,60,60,
16,48,5,6,10,15,15,10,20,6,16,5,5,5,5,6,10,6,5,1,1],[1,75,120,96,160,25,150,
30,90,540,540,96,640,160,480,480,480,75,15,30,90,45,60,90,90,270,90,540,540,
180,180,180,180,160,96,100,40,160,160,240,120,480,480,480,96,1,5,15,15,45,45,
45,90,90,270,270,90,90,180,180,180,180,160,160,160,288,60,60,120,120,240,120,
240,120,360,480,480,96,15,15,30,90,45,45,45,45,45,90,90,90,90,160,160,1,5,20,
10,20,40,60,60,60,120,120,60,60,60,120,16,48,96,5,45,45,45,45,45,45,160,6,10,
10,30,15,15,30,60,30,60,60,60,120,48,48,45,20,10,6,16,5,5,5,5,15,15,15,15,30,
6,10,10,10,20,18,16,15,15,15,15,6,5,10,1,6,5,3,1,1],[1,75,120,96,160,25,30,
150,90,540,540,96,640,160,480,480,480,15,75,90,30,45,60,90,270,90,90,180,540,
180,180,540,180,160,96,40,100,160,160,120,240,480,480,480,96,5,1,15,15,45,45,
45,90,270,90,90,90,270,180,180,180,180,160,160,160,288,120,60,60,360,120,120,
240,240,120,480,480,96,15,15,90,30,45,45,45,45,45,90,90,90,90,160,160,5,1,10,
20,40,20,60,120,60,60,60,60,60,120,120,16,48,96,5,45,45,45,45,45,45,160,6,30,
10,10,15,15,60,30,30,60,60,120,60,48,48,45,10,20,6,16,5,5,5,5,15,15,15,15,30,
6,20,10,10,10,18,16,15,15,15,15,6,5,10,1,6,5,3,1,1],[1,315,1120,105,630,630,
1890,2016,3360,960,315,315,945,1260,3780,280,2016,1680,2520,2520,21,21,315,
315,945,945,945,280,960,2520,2520,315,315,945,840,210,210,1260,336,1008,1008,
105,280,126,126,210,210,126,126,360,105,168,21,21,1],[1,315,120,1120,105,630,
630,1890,1260,1260,2016,3360,1120,3360,960,315,315,210,210,945,1260,630,630,
630,630,1260,1260,1260,3780,1260,1260,280,2016,1680,2520,2520,3360,960,21,21,
315,315,945,945,945,630,630,630,630,630,630,1260,1260,1260,1260,280,1120,2016,
960,840,2520,840,840,840,2520,1680,315,315,210,210,315,945,315,315,315,630,
630,630,630,840,560,960,210,210,1260,840,840,336,1008,1008,105,315,315,315,
315,315,315,280,280,280,126,126,210,210,210,210,210,210,420,336,336,336,315,
280,126,126,360,105,210,210,126,126,120,168,105,56,21,21,21,21,1,1],[1,315,
336,960,1120,105,630,630,1890,2016,3360,5040,960,315,315,945,1260,3780,280,
1120,2240,2016,420,420,1680,1680,2520,2520,2016,21,21,315,315,945,945,945,280,
3360,960,960,1920,1260,1260,1260,2520,2520,1120,2016,315,315,945,840,1680,21,
21,210,210,420,420,1260,1260,1120,336,1008,1008,960,105,280,126,126,210,210,
315,315,210,210,126,126,360,336,105,105,105,105,280,126,126,210,210,168,126,
126,105,21,21,21,21,1,1],[1,315,360,336,960,1120,105,630,630,1890,3780,3780,
2016,960,3360,3360,3360,5040,10080,960,315,315,630,630,945,1260,1890,1890,
1890,1890,3780,3780,3780,3780,3780,3780,280,1120,2240,2016,420,420,1680,1680,
2520,2520,5040,5040,10080,2880,2016,21,21,315,315,945,945,945,1890,1890,1890,
1890,1890,1890,3780,3780,3780,3780,280,1120,3360,3360,3360,6720,6048,960,960,
1920,1260,1260,1260,2520,2520,2520,2520,2520,2520,2520,2520,5040,5040,1120,
2016,315,315,630,630,945,945,945,945,945,1890,1890,1890,1890,840,1680,1680,
3360,960,2880,21,21,210,210,420,420,1260,1260,1260,1260,1260,1260,1260,1260,
2520,2520,1120,1120,1120,336,1008,1008,2016,960,105,945,945,945,945,945,945,
280,840,840,1680,126,126,210,210,210,210,315,315,630,630,630,630,1260,1260,
1260,1260,1120,1008,1008,1008,960,945,210,210,840,126,126,360,336,105,105,105,
105,315,315,315,315,630,630,280,126,126,210,210,210,210,210,210,378,378,360,
168,336,315,315,315,315,280,126,126,105,210,210,168,21,21,126,126,105,63,63,
21,21,21,21,1,3,1,1]],
[1,2,2,3,3,3,4,4,4,4,4,4,5,6,6,6,6,6,6,7,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,9,9,
9,10,12,12,12,12,12,12,12,12,12,14,15,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,18,18,18,18,18,18,20,21,21,21,24,24,24,24,24,24,24,24,24,24,24,24,
24,27,30,32,32,32,32,32,32,32,32,32,32,32,32,32,36,36,36,36,42,42,48,48,48,48,
48,48,48,48,48,48,48,48,48,48,48,48,54,54,54,60,60,60,60,63,64,64,64,64,64,64,
64,72,72,72,72,80,80,96,96,96,96,96,96,96,96,96,96,96,96,96,96,108,120,120,
120,126,128,144,144,144,160,160,168,180,192,192,192,192,192,192,192,192,192,
192,216,240,240,288,288,288,288,288,288,320,320,336,360,360,384,384,384,384,
432,480,480,576,576,576,720,960,960,960,960,1152,1920,1920,2880,2880,5760,
5760,20160,40320,60480,120960],
[226,203,198,200,168,164,216,186,185,138,101,101,135,168,110,110,108,91,49,
168,202,201,185,186,169,160,138,142,140,138,101,101,101,101,101,106,205,164,
130,135,191,194,147,147,128,127,91,91,49,112,135,221,222,204,203,169,169,169,
138,142,140,140,138,142,106,101,101,106,205,164,108,110,110,74,75,168,168,136,
162,160,163,127,123,127,128,128,127,126,128,90,91,164,135,201,202,185,186,169,
169,169,169,169,138,142,140,138,172,145,147,110,168,112,221,222,209,210,191,
194,160,162,160,163,163,160,161,162,127,128,164,164,164,200,165,166,135,168,
216,169,169,169,169,169,169,205,172,172,147,214,215,210,210,209,209,201,202,
185,186,186,185,160,161,162,163,164,165,166,167,168,169,209,210,172,215,214,
198,200,216,216,216,216,202,202,201,201,185,186,205,215,214,210,210,210,209,
209,209,196,197,198,211,200,201,202,203,204,205,214,215,216,209,210,211,221,
222,214,215,216,217,218,221,222,221,222,226,224,226,226],
[1,1,1,1,1,1,1,1,1,1,1,1,1,5,4,6,6,1,1,1,1,1,1,1,1,2,2,1,1,2,2,2,1,2,2,1,1,1,
1,13,7,7,7,1,8,9,4,4,6,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,10,2,2,10,37,38,6,6,4,5,
13,20,1,20,7,26,7,9,42,46,45,8,46,41,45,43,18,6,13,7,7,9,8,7,7,7,2,7,10,9,8,
10,37,37,7,38,5,20,52,53,53,52,7,7,80,41,80,42,42,26,54,41,46,45,38,92,37,132,
133,134,51,20,7,25,25,21,22,22,21,69,69,37,109,52,53,113,116,115,114,53,52,
116,115,53,52,80,125,79,81,92,133,134,132,77,58,53,52,107,149,148,175,132,137,
137,53,52,113,113,114,114,116,115,144,53,52,116,171,113,114,170,115,148,149,
175,199,176,154,155,177,178,187,148,149,137,170,171,199,212,213,189,188,208,
212,213,212,213,219,220,223,223,223,225],
[( 5,13)( 6,19)(11,16)(12,21)(14,24)(15,17)(18,22)(20,23),( 1, 7,11, 9,10,22,
 19,20, 2, 5, 8,13,18, 3,21,23,14,24, 6,12,16)( 4,15,17)],
[[[[]]],[[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1]]],[[[1,1]]],[[[1,1,2,1],[3,1,1,1,
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1],[2,1,3,1],[3,1,4,2,3,1]],[[1,1,2,1],[1,1,2,-1,1,1,2,-1,3,2]]],[[[2,1,1,1],[
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2,-1,1,1]]],[[[2,1,1,1]]],[[[1,1,2,1,1,1,2,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,
1],[3,1,5,1,4,2,5,1,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,2,4,-1,2,-1]],[[1,
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1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,-1]],[[1,1,2,1],[3,2,2,1,1,1,2,2,3,1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[4,1,3,1,5,2,3,1,4,-1]]],[[[1,1,2,1],[2,1,3,1],[3,1,4,
2,3,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1]]],[[[1,1,2,1],[2,1,3,1],[3,1,4,2,3,1]],[[2,-1,1,1,2,1]],[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,1,3,-1,4,1,2,-1]],[[1,1,2,
1],[3,1,1,1,2,-1,1,1,2,-1,3,1]]],[[[1,1,2,1],[2,1,1,1],[2,2,3,1,2,1,4,1,3,-1,
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2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,-1]],[[2,1,1,1],[2,2,3,1,2,1,3,
2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-2]],[[1,1,2,1],[3,1,1,1,2,-1,
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1]]],[[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,2]],[[1,1,2,1],[1,1,2,-2,3,-2,2,
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1,1],[2,2,1,1,2,1,3,-2,2,-1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2,3,1]]],[[[2,1,1,
1],[3,1,2,-1,1,1,3,1]]],[[[2,1,1,1],[2,1,3,-1,2,-1,1,1],[4,1,3,1,4,1,3,1]],[[
1,1,2,1],[2,2,1,1],[4,1,3,2,4,1]]],[[[1,1,2,1],[2,1,1,1,2,-1,3,-3]],[[1,1,2,
1],[2,1,3,1],[3,1,4,1,3,1,4,1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,2,2,1]],[[1,1,2,
1],[2,1,3,1,1,1,2,-1,3,2]]],[[[1,1,2,1],[2,1,3,1],[4,1,3,1,4,1,2,1,1,1]],[[1,
1,2,1],[3,2,2,1,1,1,2,2,3,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,2,3,-1,2,-1,3,
-1]],[[1,1,2,1],[2,1,1,1,2,-1,3,1,1,1,3,-1]]],[[[1,1,2,1],[2,1,3,1],[3,1,4,2,
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3,1,2,1,4,2]],[[1,1,2,1],[2,1,1,1,2,-1,3,-3]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,
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1,1,2,-1,3,-2]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1]]],[[[1,1,2,1],[2,1,3,1],[3,
1,4,2,3,1]],[[1,1,2,1],[2,2,3,2,1,1,2,-1]]],[[[1,1,2,4]]],[[[2,1,1,1,2,3,1,
1]]],[[[1,1,2,1],[2,2],[1,1,2,-1,4,-1,3,-1,2,1,1,1,2,-1,3,-1,4,1]],[[1,1,2,
1],[2,1,3,1],[3,1,4,2,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,
2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,
2,-1],[5,1,4,-1,3,-1,4,1,2,-1,3,1,4,-1,2,-1,4,-1,5,1]],[[1,1,2,1],[2,2],[1,1,
2,-1,3,1,4,1,2,1,1,1,2,-1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[2,2],[1,1,2,-1,4,1,
5,-1,3,-1,4,2,3,-1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,2,-1,3,1,4,-1,5,
1,3,1,2,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,3,-1,2,-2,4,-1]],[[1,1,
2,1],[2,1,1,1],[2,-1,3,-1,4,2,2,-1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,
1,2,-1,3,1,4,-1,2,-1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,2,1,1,2,-1]],[[1,1,2,1],[3,
1,2,1,3,1,1,1,2,-1,3,1,2,2]]],[[[1,1,2,1],[2,1,1,1,2,-1,3,1,1,1,2,-2,3,1]],[[
1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,2,-1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,1,2,1,3,
1]],[[2,1,1,1],[3,1,2,-1,1,1,2,1,3,2]]],[[[1,1,2,1],[2,1,3,1],[4,1,3,1,4,1,2,
1,1,1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2,3,1]],[[1,1,2,1],[1,1,2,-1,3,2,1,1,2,
-1]]],[[[2,2,1,1,2,-1,1,1,2,-2,1,1,2,1]],[[1,1,2,1],[2,1,1,1,2,-2,3,-2]]],[[[
1,1,2,1],[2,1,1,1],[4,1,3,-2,2,1,4,-1,3,1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2,3,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,2,-1]]],[[[1,1,2,1],[2,1,3,2,2,2,3,
1]],[[2,2,1,1],[1,1,2,1,3,-2]]],[[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]],[[1,1,
2,1],[2,1,3,1],[3,1,4,2,3,1]],[[1,1,2,1],[3,1,1,1,2,-1,1,1,2,-1,3,1]]],[[[1,1,
2,1],[2,1,1,1],[4,1,3,-2,2,1,4,-1,3,1]],[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,
2]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,2,-1]]],[[[1,1,2,1],[2,1,3,1],[4,1,3,1,
4,1,2,1,1,1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,1,2,1]]],[[[2,1,1,1],[3,1,2,2,3,
-1,2,-1,1,1,2,-1]],[[1,1,2,1],[3,1,1,1,2,-1,3,1,2,1,3,1]]],[[[1,1,2,1],[2,1,1,
1],[4,1,3,-2,2,1,4,-1,3,1]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,4,1,2,1,1,1]],[[1,1,
2,1],[3,1,2,1,3,1,2,1,1,1,2,2]]],[[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1]],[[1,1,2,
1],[3,1,1,1,2,-1,3,1,2,1,3,1]],[[1,1,2,1],[3,2,1,1,2,1]]],[[[1,1,2,1],[1,1,3,
-1,2,1,1,1,3,-1,2,2,1,1]],[[1,1,2,1],[3,1,2,1,3,2,2,2]]],[[[1,1,2,1],[3,2,2,1,
1,1,2,2,3,1]],[[1,1,2,1],[3,1,1,1,2,-1,1,1,2,-1,3,1]],[[1,1,2,1],[1,1,2,-1,3,
2,1,1,2,-1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1,3,-1,2,-2]],[[2,1,1,1],[3,1,2,-1,1,
1,3,1,2,-1]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1]]],[[[2,1,1,1],[3,1,2,2,3,-1,2,
-1,1,1,2,-1]],[[1,1,2,1],[3,2],[4,1,1,1,2,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,
1,3,2,4,-2,2,-1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-1,3,-2]]],[[[2,1,1,1],[2,1,3,
1,1,1,2,1,3,1,2,-2]],[[1,1,2,1],[3,2,1,1,2,1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,
-1,3,1,1,1,4,1]],[[1,1,2,1],[3,2,2,3,3,1]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-1,
3,1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2,3,1]]],[[[1,1,2,1],[2,1,1,1,2,-1],[4,1,3,
1,4,1,3,-1]],[[1,1,2,1],[2,2],[4,1,3,1,4,1,3,1]]],[[[2,-1]]],[[[1,1,2,1],[1,1,
2,-1,1,1,2,-2,3,-2]],[[1,1,2,1],[3,1,1,1,2,-1,3,2,2,1]]],[[[1,1,2,1],[2,1,3,1,
2,1,1,1,2,-1,3,-2]],[[1,1,2,1],[1,1,2,-1,1,1,2,-1,3,2]]],[[[1,1,2,1],[2,1,3,1,
2,1,1,1,2,-1,3,-2]],[[1,1,2,1],[3,1,2,1,3,2,1,1,2,-1]]],[[[1,1,2,1],[1,1,2,-1,
3,1,2,1,3,1,2,1,1,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-1,3,-2]]],[[[2,1,1,1],[2,
1,3,1,2,-1,1,1,3,2]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1]]],[[[1,1,2,1],[2,1,3,
1,2,1,1,1,2,-1,3,-2]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1]]],[[[2,1,1,1],[2,1,3,
1,2,-1,1,1,3,2]],[[2,1,1,1],[3,1,2,-1,1,1,2,1,3,2]]],[[[1,1,2,1],[2,1,3,2,2,2,
3,1]],[[1,1,2,1],[3,2,1,1,2,1]]],[[[1,1,2,1],[2,1,1,1,2,-1],[4,1,3,-1,4,1,3,
1]],[[2,1,1,1],[3,1,2,2,3,-1,2,-1,1,1,2,-1]]],[[[1,1,2,1],[3,2,2,2,3,1,2,1,1,
1]],[[2,1,1,1],[3,1,1,1,2,1,3,-1,2,-1]],[[2,1,1,1],[1,1,2,-1,3,-2]]],[[[1,1,2,
1],[3,2,2,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1,2,-1,3,1,1,1,3,-1]]],[[[1,1,2,
1],[1,1,2,-1,1,1,2,-1,3,2]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2,2,-1]]],[[[1,1,2,
1],[2,1,1,1],[3,1,2,1,3,1,2,1,4,2]],[[2,1,1,1,2,-1]]],[[[2,1,1,1],[3,1,2,2,3,
-1,2,-1,1,1,2,-1]],[[2,2,1,1],[1,1,2,1,3,-2]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,2,
-1,3,-2]],[[1,1,2,1],[2,1,3,1,1,1,2,-1,3,2]]],[[[1,1,2,1],[2,1,3,1],[4,1,3,1,
4,1,2,1,1,1]],[[1,1,2,1],[3,1,2,2,3,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,2,
4,-1,2,-1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2,3,1]],[[1,1,2,1],[3,1,1,1,2,-1,1,1,
2,-1,3,1]]],[[[1,1,2,1],[2,1,1,1,2,-1,3,1,1,1,2,-2,3,1]],[[1,1,2,1],[2,1,1,
1],[2,1,3,2,4,-2,2,-1]],[[1,1,2,1],[3,1,1,1,2,-1,1,1,2,-1,3,1]]],[[[1,1,2,1],[
2,1,1,1],[2,1,3,2,4,-2,2,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,3,-1,2,1,1,1]],[[1,
1,2,1],[2,1,3,1],[3,1,4,2,3,1]]],[[[1,1,2,1],[3,2,2,2,1,1,2,2]],[[1,1,2,1],[2,
1,3,1,2,1,1,1,2,-1,3,1]],[[1,1,2,1],[1,1,2,-1,3,-3,2,1,1,1]]],[[[1,1,2,1],[2,
1,1,1],[3,1,4,-1,2,-1,3,1,2,1,4,-1]],[[1,1,2,1],[2,2,3,1,2,1,3,2]]],[[[1,1,2,
1],[2,1,1,1],[4,1,2,1,4,1,3,-1,2,1,4,-1,3,1,4,1]],[[1,1,2,1],[2,1,3,1],[3,1,4,
2,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,1,2,1,4,-1,3,-1,4,1]]],[[[1,1,2,
1],[2,1,1,1],[2,1,4,-1,3,2,4,-1,2,-1]],[[1,1,2,1],[3,1,2,2,1,1,2,1,3,1]]],[[[
1,1,2,1],[2,1,3,1],[4,1,3,1,4,1,2,1,1,1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2,3,
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],[2,1,3,
1],[4,1,3,1,4,1,2,1,1,1]],[[1,1,2,-1,1,1,2,2,1,1,2,2]]],[[[1,1,2,1],[1,1,2,-1,
3,1,1,1,3,-1,2,1,1,1]],[[2,1,1,1],[3,1,2,-1,1,1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,
1],[3,1,4,-1,2,-1,3,1,2,1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,3,-1,2,1,1,
1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2,3,1]]],[[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,
-1]],[[2,1,1,1],[3,1,2,-1,1,1,2,1,3,2]]],[[[1,1,2,1],[3,1,1,1,2,-2,1,1,2,-2,3,
1]],[[2,1,1,1],[2,1,3,-1,1,1,2,3,3,1]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,
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1,1,2,-1,3,-1]],[[1,1]]],[[[2,2],[3,1,2,1,1,1,3,-1,2,-1,1,1]],[[2,1,1,1,2,-1,
1,1]]],[[[1,1,2,1],[2,2,1,1,3,-1,2,1,3,1]],[[1,1,2,1],[3,1,1,1,2,-1,3,1,2,1,3,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,2,-1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,
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1,2,-1]],[[2,3]]],[[[1,1,2,1],[1,1,2,-1,3,2,1,1,2,-1]],[[1,1,2,1],[2,1,3,2,2,
2]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1,3,-1,2,-2]],[[1,1,2,1],[1,1,2,-1,1,1,2,-1,3,
2]],[[1,1,2,2,1,1,2,2]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1]]],[[[1,1,2,1],[3,2,
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3,2]],[[1,1,2,1],[3,2,1,1,2,1]]],[[[1,1,2,1],[1,1,3,-1,2,1,1,1,2,-1,3,1]],[[2,
1,1,1],[3,1,2,-1,1,1,2,1,3,2]],[[1,1]]],[[[2,2],[3,1,2,1,1,1,3,-1,2,-1,1,
1]],[[2,1,1,1],[1,1,2,-1,3,-2]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1]]],[[[2,1,1,
1],[3,1,2,3,3,2]],[[1,1,2,-2,1,1,2,2]],[[1,1]]],[[[1,1,2,1],[3,1,2,1,3,1,1,1,
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2,1],[2,1,3,2]],[[2,2],[3,1,2,1,1,1,3,-1,2,-1,1,1]]],[[[2,2],[3,1,2,1,1,1,3,
-1,2,-1,1,1]],[[2,1,1,1,2,-1,1,1]],[[1,1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,
-1]],[[1,1,2,1],[3,2,1,1,2,1]],[[2,1,1,1],[3,1,1,1,2,1,3,-1,2,-1]]],[[[1,1,2,
1],[2,1,1,1],[3,1,4,-1,2,-1,3,1,1,1,4,1]],[[1,1,2,1],[3,1,2,2,1,1,2,-2,3,
-1]]],[[[2,2,1,1,2,2,1,1]],[[1,1,2,1],[3,-2]],[[2,1,1,1,2,1,1,1]]],[[[1,1,2,
1],[1,1,2,-1,3,2,1,1,2,-1]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2,2,-1]],[[2,1,1,1],[
2,1,3,1,2,-1,1,1,3,2]]],[[[1,1,2,-1,1,1,2,2,1,1,2,2]],[[2,1,1,1],[3,1,2,-1,1,
1,2,1,3,2]],[[1,1,2,-2],[3,2,1,1,2,1]]],[[[1,1,2,1],[3,1,2,2,1,1,2,-1,3,1]],[[
1,1,2,1,1,1,2,-1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,1]],[[1,1,2,1],[3,1,1,1,3,
-1,2,1,1,1,2,-1]],[[1,1]]],[[[2,2,1,1,2,1]],[[1,1,2,-1]]],[[[2,2,1,1],[1,1,2,
1,3,-2]],[[1,1,2,-1,1,1,2,1,1,1]],[[2,1,1,1,2,-1]]],[[[2,1,1,1,2,-2,1,1,2,
2]],[[1,1,2,-1,1,1,2,-1]]],[[[1,1,2,1,1,1,2,-4]],[[2,1,1,1,2,2,1,1]],[[1,1,2,
-1,1,1,2,-2]]],[[[1,1,2,-3,1,1,2,3,1,1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,1,2,
1]]],[[[1,1,2,-2,1,1,2,2,1,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-1,3,1]]],[[[1,1,
2,1],[3,-2]],[[2,3]]],[[[1,1]],[[1,1,2,1],[3,2,1,1,2,-1,3,1,2,1]]],[[[1,1,2,
1],[2,1,3,1],[3,1,4,2,3,1]],[[2,2]]],[[[1,1]],[[2,1]]]]);


LIBTOM( "L3(4).2_1",
[[1],[1,2],[1,3],[1,4],[1,3,5],[1,3,6],[1,3,7],[1,3,8],[1,3,9],[1,3,10],[1,3,
11],[1,2,3,12],[1,3,13],[1,14],[1,2,4,15],[1,3,4,16],[1,2,4,17],[1,18],[1,3,5,
10,19],[1,3,5,9,20],[1,3,5,11,21],[1,2,3,9,12,22],[1,3,9,13,23],[1,3,11,13,
24],[1,3,10,13,25],[1,2,3,11,12,26],[1,2,3,10,12,27],[1,3,5,6,7,8,28],[1,3,10,
29],[1,2,3,5,12,13,30],[1,2,3,11,12,13,31],[1,3,6,10,32],[1,2,3,10,12,13,33],[
1,2,3,9,12,13,34],[1,3,9,35],[1,3,8,11,36],[1,3,11,37],[1,3,9,10,11,38],[1,3,
7,9,39],[1,4,40],[1,3,14,41],[1,3,4,5,42],[1,3,4,8,43],[1,3,4,6,44],[1,3,4,7,
45],[1,2,3,4,12,15,16,17,46],[1,2,18,47],[1,3,5,6,7,8,28,48],[1,3,5,10,19,
49],[1,3,5,9,20,50],[1,3,5,11,21,51],[1,3,5,9,10,11,19,20,21,38,52],[1,3,5,6,
7,8,11,21,28,36,53],[1,3,5,6,7,8,10,19,28,32,54],[1,3,5,6,7,8,9,20,28,39,55],[
1,3,5,9,20,35,56],[1,3,5,6,7,8,10,11,19,21,28,57],[1,3,5,6,7,8,9,11,20,21,28,
58],[1,3,5,6,7,8,9,10,19,20,28,59],[1,2,3,5,11,12,13,21,24,26,30,31,60],[1,3,
5,11,21,37,61],[1,2,3,5,10,12,13,19,25,27,30,33,62],[1,2,3,5,9,12,13,20,22,23,
30,34,63],[1,3,5,10,19,29,64],[1,3,7,9,13,23,35,39,65],[1,2,3,6,10,12,27,29,
32,66],[1,3,8,11,13,24,36,37,67],[1,2,3,7,9,12,22,35,39,68],[1,2,3,9,10,11,12,
13,22,26,27,31,33,34,38,69],[1,2,3,8,11,12,26,36,37,70],[1,3,6,10,13,25,29,32,
71],[1,2,3,9,10,11,12,13,23,24,25,31,33,34,38,72],[1,2,4,15,40,73],[1,3,4,16,
40,74],[1,2,4,17,40,75],[1,3,13,14,41,76],[1,4,18,77],[1,3,4,7,9,16,39,45,
78],[1,3,4,6,10,16,32,44,79],[1,3,4,8,11,16,36,43,80],[1,2,3,4,5,12,13,17,30,
42,81],[1,3,5,9,10,11,19,20,21,37,38,52,61,82],[1,3,5,6,7,8,9,10,11,19,20,21,
28,38,39,50,52,55,58,59,83],[1,3,5,9,10,11,19,20,21,35,38,52,56,84],[1,3,5,6,
7,8,9,10,11,19,20,21,28,32,38,49,52,54,57,59,85],[1,3,5,6,7,8,9,10,11,19,20,
21,28,36,38,51,52,53,57,58,86],[1,2,3,5,9,10,11,12,13,19,20,21,22,23,24,25,26,
27,30,31,33,34,38,52,60,62,63,69,72,87],[1,3,5,9,10,11,19,20,21,29,38,52,64,
88],[1,2,3,5,6,7,8,9,12,13,20,22,23,28,30,34,35,39,55,56,63,65,68,89],[1,2,3,
5,9,12,13,20,22,23,30,34,35,50,56,63,90],[1,2,3,5,11,12,13,21,24,26,30,31,37,
51,60,61,91],[1,3,5,6,7,8,9,10,11,19,20,21,28,32,36,39,48,53,54,55,57,58,59,
92],[1,2,3,5,6,7,8,11,12,13,21,24,26,28,30,31,36,37,53,60,61,67,70,93],[1,2,3,
5,6,7,8,10,12,13,19,25,27,28,29,30,32,33,54,62,64,66,71,94],[1,2,3,5,10,12,13,
19,25,27,29,30,33,49,62,64,95],[1,3,4,13,16,40,74,96],[1,3,4,9,16,40,74,97],[
1,3,4,10,16,40,74,98],[1,3,4,13,16,40,74,99],[1,3,4,13,16,40,74,100],[1,2,3,4,
12,15,16,17,40,46,73,74,75,101],[1,3,4,11,16,40,74,102],[1,2,4,15,18,47,77,
103],[1,3,4,5,6,7,8,28,42,43,44,45,48,104],[1,3,4,5,10,19,42,49,105],[1,3,4,5,
9,20,42,50,106],[1,3,4,5,11,21,42,51,107],[1,3,4,5,14,16,41,42,108],[1,3,4,6,
14,16,41,44,109],[1,3,4,7,14,16,41,45,110],[1,3,4,8,14,16,41,43,111],[1,3,5,6,
7,8,9,10,11,19,20,21,28,32,36,38,39,48,49,50,51,52,53,54,55,57,58,59,83,85,86,
92,112],[1,2,3,5,6,7,8,9,10,11,12,13,19,20,21,22,23,24,25,26,27,28,30,31,33,
34,36,37,38,51,52,53,57,58,60,61,62,63,67,69,70,72,82,86,87,91,93,113],[1,3,5,
6,7,8,9,10,11,19,20,21,28,32,35,37,38,49,52,54,56,57,59,61,82,84,85,114],[1,3,
5,6,7,8,9,10,11,19,20,21,28,29,35,36,38,51,52,53,56,57,58,64,84,86,88,115],[1,
3,5,6,7,8,9,10,11,19,20,21,28,29,37,38,39,50,52,55,58,59,61,64,82,83,88,116],[
1,2,3,5,6,7,8,9,10,11,12,13,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,
38,49,52,54,57,59,60,62,63,64,66,69,71,72,85,87,88,94,95,117],[1,2,3,5,6,7,8,
9,10,11,12,13,19,20,21,22,23,24,25,26,27,28,30,31,33,34,35,38,39,50,52,55,56,
58,59,60,62,63,65,68,69,72,83,84,87,89,90,118],[1,3,4,11,13,16,24,40,74,99,
100,102,119],[1,3,4,9,10,11,16,38,40,74,97,98,102,120],[1,2,3,4,10,12,13,15,
16,17,33,40,46,73,74,75,98,100,101,121],[1,2,3,4,11,12,13,15,16,17,31,40,46,
73,74,75,96,101,102,122],[1,2,3,4,9,12,13,15,16,17,34,40,46,73,74,75,97,99,
101,123],[1,3,4,10,13,16,25,40,74,96,98,99,124],[1,3,4,9,13,16,23,40,74,96,97,
100,125],[1,3,5,6,7,8,14,28,48,126],[1,3,4,5,6,7,8,9,10,11,16,19,20,21,28,32,
36,39,42,43,44,45,48,53,54,55,57,58,59,78,79,80,92,104,127],[1,2,3,4,5,10,12,
13,17,19,25,27,29,30,33,42,49,62,64,81,95,105,128],[1,2,3,4,5,9,12,13,17,20,
22,23,30,34,35,42,50,56,63,81,90,106,129],[1,2,3,4,5,11,12,13,17,21,24,26,30,
31,37,42,51,60,61,81,91,107,130],[1,2,3,4,5,12,13,14,15,16,17,30,41,42,46,76,
81,108,131],[1,2,3,5,6,7,8,9,10,11,12,13,19,20,21,22,23,24,25,26,27,28,29,30,
31,32,33,34,35,36,37,38,39,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,
65,66,67,68,69,70,71,72,82,83,84,85,86,87,88,89,90,91,92,93,94,95,112,113,114,
115,116,117,118,132],[1,2,3,4,9,10,11,12,13,15,16,17,23,24,25,31,33,34,38,40,
46,72,73,74,75,96,97,98,99,100,101,102,119,120,121,122,123,124,125,133],[1,3,
5,6,7,8,9,10,11,14,19,20,21,28,32,36,39,41,48,53,54,55,57,58,59,92,126,134],[
1,3,4,6,10,16,18,32,44,77,79,135],[1,3,4,7,9,16,18,39,45,77,78,136],[1,3,4,8,
11,16,18,36,43,77,80,137],[1,3,4,5,6,7,8,9,10,11,19,20,21,28,32,36,38,39,42,
43,44,45,48,49,50,51,52,53,54,55,57,58,59,83,85,86,92,104,105,106,107,112,
138],[1,2,3,4,6,10,12,15,16,17,18,27,29,32,44,46,47,66,77,79,103,135,139],[1,
2,3,4,8,11,12,15,16,17,18,26,36,37,43,46,47,70,77,80,103,137,140],[1,2,3,4,7,
9,12,15,16,17,18,22,35,39,45,46,47,68,77,78,103,136,141],[1,3,4,6,10,14,16,32,
40,41,44,74,79,98,109,142],[1,3,4,8,11,14,16,36,40,41,43,74,80,102,111,143],[
1,3,4,7,9,14,16,39,40,41,45,74,78,97,110,144],[1,2,3,4,5,6,7,8,9,10,11,12,13,
17,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,42,43,44,45,
48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,81,
82,83,84,85,86,87,88,89,90,91,92,93,94,95,104,105,106,107,112,113,114,115,116,
117,118,128,129,130,132,138,145],[1,3,4,7,9,13,14,16,23,35,39,40,41,45,65,74,
76,78,96,97,100,110,125,144,146],[1,3,4,6,10,13,14,16,25,29,32,40,41,44,71,74,
76,79,96,98,99,109,124,142,147],[1,3,4,8,11,13,14,16,24,36,37,40,41,43,67,74,
76,80,99,100,102,111,119,143,148],[1,3,4,5,6,7,8,9,10,11,14,16,19,20,21,28,32,
36,38,39,41,42,43,44,45,48,49,50,51,52,53,54,55,57,58,59,78,79,80,83,85,86,92,
104,105,106,107,108,109,110,111,112,126,127,134,138,149],[1,3,4,5,6,7,8,9,10,
11,14,16,18,19,20,21,28,32,36,38,39,40,41,42,43,44,45,48,49,50,51,52,53,54,55,
57,58,59,74,77,78,79,80,83,85,86,92,97,98,102,104,105,106,107,108,109,110,111,
112,120,126,127,134,135,136,137,138,142,143,144,149,150],[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]],
0,[[1],[1,1],[1,1],[1,1],[1,3,1],[1,3,1],[1,3,1],[1,3,1],[1,1,1],[1,1,1],[1,1,
1],[1,2,1,1],[1,1,1],[1,1],[1,1,1,1],[1,3,1,1],[1,3,1,1],[1,1],[1,3,1,2,1],[1,
3,1,2,1],[1,3,1,2,1],[1,4,1,1,2,1],[1,1,1,2,1],[1,1,1,2,1],[1,1,1,2,1],[1,4,1,
1,2,1],[1,4,1,1,2,1],[1,7,1,2,2,2,1],[1,1,1,1],[1,2,3,1,1,1,1],[1,2,1,1,1,1,
1],[1,5,2,1,1],[1,2,1,1,1,1,1],[1,2,1,1,1,1,1],[1,1,1,1],[1,5,2,1,1],[1,1,1,
1],[1,1,1,1,1,1],[1,5,2,1,1],[1,4,1],[1,5,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,
1,1],[1,3,4,1,1],[1,4,3,1,3,1,1,1,1],[1,7,1,1],[1,15,5,10,10,10,15,1],[1,3,1,
6,3,1],[1,3,1,6,3,1],[1,3,1,6,3,1],[1,3,1,2,2,2,1,1,1,4,1],[1,11,1,4,4,4,2,1,
2,4,1],[1,11,1,4,4,4,2,1,2,4,1],[1,11,1,4,4,4,2,1,2,4,1],[1,3,1,2,1,2,1],[1,7,
1,2,2,2,2,2,1,1,1,1],[1,7,1,2,2,2,2,2,1,1,1,1],[1,7,1,2,2,2,2,2,1,1,1,1],[1,4,
3,1,2,2,2,1,1,1,2,2,1],[1,3,1,2,1,2,1],[1,4,3,1,2,2,2,1,1,1,2,2,1],[1,4,3,1,2,
2,2,1,1,1,2,2,1],[1,3,1,2,1,2,1],[1,5,2,1,2,1,1,1,1],[1,4,5,2,1,2,1,1,1,1],[1,
5,2,1,2,1,1,1,1],[1,4,5,2,1,2,1,1,1,1],[1,6,1,1,1,1,3,1,1,1,1,1,1,1,1,1],[1,4,
5,2,1,2,1,1,1,1],[1,5,2,1,2,1,1,1,1],[1,2,1,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,1,4,
4,1,1],[1,9,4,12,1,1],[1,9,4,12,1,1],[1,5,5,1,1,1],[1,7,1,1],[1,9,4,4,3,4,3,1,
1],[1,9,4,4,3,4,3,1,1],[1,9,4,4,3,4,3,1,1],[1,6,3,4,1,3,3,4,3,1,1],[1,3,1,2,2,
2,1,1,1,4,4,1,2,1],[1,11,1,4,4,4,6,2,2,1,3,1,2,4,4,1,1,1,2,2,1],[1,3,1,2,2,2,
1,1,1,4,4,1,2,1],[1,11,1,4,4,4,2,6,2,3,1,1,2,4,4,1,1,1,2,2,1],[1,11,1,4,4,4,2,
2,6,1,1,3,2,4,4,1,1,1,2,2,1],[1,8,3,1,2,2,2,4,4,1,1,1,2,2,2,2,2,2,4,4,4,4,4,1,
2,2,2,4,4,1],[1,3,1,2,2,2,1,1,1,4,4,1,2,1],[1,4,11,1,4,4,4,2,2,2,1,1,1,2,2,2,
2,4,1,1,1,2,2,1],[1,4,3,1,6,2,2,3,1,1,2,2,2,1,1,1,1],[1,4,3,1,6,2,2,3,1,1,2,2,
2,1,1,1,1],[1,19,5,12,12,12,2,2,2,1,1,1,16,4,4,4,1,1,1,1,1,1,1,1],[1,4,11,1,4,
4,4,2,2,2,1,1,1,2,2,2,4,2,1,1,1,2,2,1],[1,4,11,1,4,4,4,2,2,2,1,1,1,2,2,2,4,2,
1,1,1,2,2,1],[1,4,3,1,6,2,2,3,1,1,2,2,2,1,1,1,1],[1,9,4,9,12,1,1,1],[1,9,4,9,
12,1,1,1],[1,9,4,9,12,1,1,1],[1,9,4,9,12,1,1,1],[1,9,4,9,12,1,1,1],[1,10,9,4,
9,4,12,12,1,12,1,1,1,1],[1,9,4,9,12,1,1,1],[1,7,7,7,1,1,1,1],[1,15,16,5,10,10,
10,15,8,4,4,4,1,1],[1,3,16,1,6,3,4,1,1],[1,3,16,1,6,3,4,1,1],[1,3,16,1,6,3,4,
1,1],[1,15,10,5,6,10,6,5,1],[1,15,10,5,6,10,6,5,1],[1,15,10,5,6,10,6,5,1],[1,
15,10,5,6,10,6,5,1],[1,27,9,20,20,20,6,6,6,3,3,3,30,12,12,12,12,2,1,1,1,3,3,3,
3,6,6,6,3,3,3,6,1],[1,8,11,1,4,4,4,2,2,6,4,4,1,1,3,2,2,2,2,2,2,2,4,4,4,4,4,4,
4,1,1,1,2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,1],[1,11,1,4,4,4,2,6,2,3,1,1,2,4,4,4,4,
1,1,1,2,2,2,2,1,1,1,1],[1,11,1,4,4,4,2,2,6,1,1,3,2,4,4,4,4,1,1,1,2,2,2,2,1,1,
1,1],[1,11,1,4,4,4,6,2,2,1,3,1,2,4,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,8,11,1,4,4,
4,2,6,2,4,4,3,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,1,1,1,2,2,2,2,2,2,4,4,4,4,1,1,1,
2,2,1],[1,8,11,1,4,4,4,6,2,2,4,4,1,3,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,1,1,1,2,2,
2,2,2,2,4,4,4,4,1,1,1,2,2,1],[1,9,4,9,18,12,9,1,1,1,1,1,1],[1,9,4,9,9,9,12,9,
1,1,1,1,1,1],[1,10,9,4,9,9,9,4,12,12,9,1,12,1,1,1,1,1,1,1],[1,10,9,4,9,9,9,4,
12,12,9,1,12,1,1,1,1,1,1,1],[1,10,9,4,9,9,9,4,12,12,9,1,12,1,1,1,1,1,1,1],[1,
9,4,9,18,12,9,1,1,1,1,1,1],[1,9,4,9,18,12,9,1,1,1,1,1,1],[1,15,5,10,10,10,16,
15,1,1],[1,27,16,5,16,16,16,6,6,6,16,3,3,3,18,12,12,12,8,4,4,4,1,3,3,3,3,3,3,
4,4,4,3,1,1],[1,12,3,16,1,6,6,6,16,3,3,3,6,6,6,4,1,3,3,4,3,1,1],[1,12,3,16,1,
6,6,6,16,3,3,3,6,6,6,4,1,3,3,4,3,1,1],[1,12,3,16,1,6,6,6,16,3,3,3,6,6,6,4,1,3,
3,4,3,1,1],[1,10,15,10,5,15,15,6,10,10,10,15,6,5,10,6,5,1,1],[1,8,27,9,20,20,
20,6,6,6,4,4,3,3,3,2,2,2,2,2,2,30,4,4,4,12,4,4,4,12,4,12,12,2,1,1,1,3,3,3,3,2,
6,6,6,2,2,2,2,2,4,4,4,4,4,4,4,4,1,3,1,3,3,1,1,2,2,2,6,2,2,2,1,1,1,1,1,1,1,1],[
1,10,9,4,9,9,9,9,27,4,12,12,9,9,9,9,9,9,9,1,12,9,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1],[1,35,5,20,20,20,10,10,10,16,5,5,5,20,20,20,20,16,1,5,5,5,5,5,5,5,1,
1],[1,21,28,14,21,28,8,21,14,8,14,1],[1,21,28,14,21,28,8,21,14,8,14,1],[1,21,
28,14,21,28,8,21,14,8,14,1],[1,27,64,9,20,20,20,6,6,6,3,3,3,30,12,12,12,12,48,
32,32,32,2,1,1,1,3,3,3,3,6,6,6,3,3,3,6,8,4,4,4,1,1],[1,28,21,28,14,21,42,28,
28,28,8,21,21,21,14,28,8,21,8,14,8,1,1],[1,28,21,28,14,21,42,28,28,28,8,21,21,
21,14,28,8,21,8,14,8,1,1],[1,28,21,28,14,21,42,28,28,28,8,21,21,21,14,28,8,21,
8,14,8,1,1],[1,45,40,30,45,36,120,45,10,36,30,10,30,10,12,1],[1,45,40,30,45,
36,120,45,10,36,30,10,30,10,12,1],[1,45,40,30,45,36,120,45,10,36,30,10,30,10,
12,1],[1,24,27,64,9,20,20,20,6,6,6,12,12,64,3,3,3,6,6,6,6,6,6,30,12,12,12,12,
12,12,12,12,12,12,12,48,32,32,32,2,1,1,1,3,3,3,3,6,6,6,6,6,6,6,6,6,12,12,12,
12,12,12,12,12,16,3,3,3,3,3,3,3,6,6,6,6,6,6,6,8,4,4,4,1,3,3,3,3,3,3,4,4,4,3,1,
1],[1,45,40,30,45,90,36,120,45,45,45,10,36,30,45,10,36,30,10,10,10,12,10,1,
1],[1,45,40,30,45,90,36,120,45,45,45,10,36,30,45,10,36,30,10,10,10,12,10,1,
1],[1,45,40,30,45,90,36,120,45,45,45,10,36,30,45,10,36,30,10,10,10,12,10,1,
1],[1,75,160,25,60,60,60,30,30,30,96,160,15,15,15,90,60,60,60,60,96,160,120,
120,120,6,5,5,5,15,15,15,15,30,30,30,40,40,40,15,15,15,30,30,20,20,20,16,16,
16,16,5,6,10,6,5,1],[1,315,1120,105,420,420,420,630,630,630,2016,3360,960,315,
315,315,630,1260,1260,1260,1260,280,2016,1680,1680,1680,1680,42,105,105,105,
315,315,315,315,630,630,630,280,960,1680,1680,1680,315,315,315,630,280,280,
280,420,420,420,420,336,672,672,672,105,280,252,420,252,120,120,120,105,56,56,
56,42,1],[1,280,315,1120,105,420,420,420,630,630,630,1260,1260,2016,1120,3360,
3360,960,315,315,315,630,630,630,630,630,630,630,1260,1260,1260,1260,1260,
1260,1260,1260,1260,1260,1260,280,2016,1680,1680,1680,1680,3360,960,42,105,
105,105,315,315,315,315,630,630,630,630,630,630,630,630,630,1260,1260,1260,
1260,1260,1260,1260,1260,280,280,280,2016,960,1680,1680,1680,1680,315,315,315,
315,315,315,315,630,630,630,630,630,630,630,280,280,280,280,280,280,280,960,
420,420,420,420,336,672,672,672,105,315,315,315,315,315,315,280,280,280,280,
280,280,280,252,420,420,420,420,336,315,280,252,120,120,120,105,120,120,120,
56,56,56,105,56,56,56,42,1,1]],
[1,2,2,3,4,4,4,4,4,4,4,4,4,5,6,6,6,7,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,9,10,12,12,12,12,12,14,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,18,18,18,20,21,24,24,24,24,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,36,36,36,36,36,36,36,42,48,48,48,48,60,60,60,60,64,64,64,64,64,
64,64,72,72,72,72,72,72,72,80,96,96,96,96,120,128,144,160,168,168,168,192,336,
336,336,360,360,360,384,720,720,720,960,20160,40320],
[151,133,132,101,145,127,127,127,118,117,113,87,87,76,101,46,46,103,132,132,
132,118,118,113,117,113,117,112,94,87,87,94,87,87,89,93,93,87,89,133,76,81,80,
79,78,46,103,149,145,145,145,132,132,132,132,118,112,112,112,113,113,117,118,
117,89,94,93,89,87,93,94,87,133,133,133,76,103,78,79,80,81,132,132,132,132,
132,132,132,118,118,113,112,113,117,117,133,133,133,133,133,133,133,103,127,
128,129,130,131,109,110,111,145,132,132,132,132,132,132,133,133,133,133,133,
133,133,134,127,128,129,130,131,132,133,134,139,141,140,145,139,140,141,147,
148,146,145,146,147,148,149,151,151],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,1,1,1,1,3,3,3,3,3,3,1,1,3,1,3,1,1,1,3,1,3,
3,1,14,5,8,6,7,4,18,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,9,10,11,9,3,11,10,3,1,
40,40,14,18,45,44,43,42,5,5,5,5,5,3,5,9,9,11,5,11,10,10,40,40,40,40,40,40,40,
18,48,49,50,51,108,109,110,111,5,21,19,21,20,19,20,74,74,40,40,40,74,74,48,
104,105,106,107,108,52,74,126,135,136,137,112,135,137,136,142,143,144,138,144,
142,143,149,150,150],
[( 1, 2)( 3, 5)( 4, 7)( 6,10)( 8,13)( 9,15)(11,18)(12,19)(14,21)(16,23)(17,25)
(20,28)(22,31)(24,34)(26,36)(27,37)(29,40)(30,41)(32,43)(33,45)(35,47)(38,49)
(39,44)(42,53)(46,48)(50,54)(51,55)(52,56),( 1, 3, 6,11)( 2, 4, 8,14)
( 5, 9,16,24)( 7,12,20,29)(10,17,26,37)(15,22,32,44)(19,27,38,50)(21,30)
(23,33,46,47)(25,35,31,42)(28,39,51,49)(36,48)(40,45,54,56)(41,52,43,53)],
[[[[]]],[[[1,1]]],[[[2,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,-2,3,3,4,1]]],[[[1,
1,2,1],[2,1,1,1],[1,1,2,-1],[3,2],[5,1,4,-1,6,-1,4,1,6,-1,5,-1,2,-2]],[[2,1,1,
1],[2,-2,1,1,2,1],[3,1,4,1,3,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,2],[5,1,4,-1,5,
1,4,1]],[[2,1,1,1,2,-2,1,1,2,-1]]],[[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,1]],[[2,1,
1,1,2,-2,1,1,2,-1]]],[[[1,1,2,1],[2,-2,3,1,1,1,2,-1,3,2]],[[2,1,1,1],[1,1,2,
-1,1,1,2,1,3,2]]],[[[1,1,2,1,1,1,2,-1]]],[[[2,1,1,1],[2,1,3,-1,1,1,2,1],[3,1,
4,1,3,1,4,1]]],[[[2,1,1,1],[2,1,3,1,2,-1,1,1],[4,1,3,1,4,1,3,1]]],[[[1,1,2,
1],[3,1,1,1,2,1,1,1,3,-2]],[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1]]],[[[2,1]]],[[[1,
1,2,1],[3,2,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,2,1,3,1,4,-2]]],[[[1,1,2,
1],[2,1,1,1],[4,1,3,-1,2,-2,3,1,4,-1]],[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,1]]],[[[
1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-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],[2,1,1,1],[1,1,2,-1],[3,2],[5,1,4,-1,6,-1,4,1,
6,-1,5,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,2,1,4,-1,3,-1,4,1]]],[[[1,
1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,2,1,4,-1,3,1]],[[2,1,1,1],[3,2,2,-1,1,1],[
4,1,2,1,1,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,2,1,3,2,4,1]],[[1,
1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1,2,-1,3,-3,2,-1]],[[
2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]]],[[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,2,2,1,3,
2]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,1,1,2,-1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,
4,1,3,-1,4,1,2,1,1,1,2,-2,3,2,4,1]],[[2,1,1,1],[1,1,2,-1],[3,1,2,1,3,-1,1,1,2,
1],[5,1,4,-1,5,1,4,1]]],[[[1,1,2,1],[2,1,1,1,3,-2,2,1,1,1,2,-2,3,1,2,1,3,
1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,2,-2,3,2]]],[[[1,1,2,1],[2,1,1,
1],[4,1,3,1,2,1,3,1,4,1,2,-2,3,1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2]]],[[[1,1,
2,1],[2,1,1,1],[3,1,2,1,3,1,4,-2,3,-1]],[[2,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,
1],[4,1,2,-2,3,1,1,1,2,-1,3,2,4,-1]],[[1,1,2,-2,1,1]],[[1,1,2,1],[1,1,2,-1,3,
1,2,1,3,1,2,1,1,1,2,-1,3,-2]]],[[[1,1,2,1],[3,1,2,1,3,1,1,1,2,-1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,3,-1,2,-2,3,1,4,-1]],[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,
3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,3,2,4,1,2,1,1,1]],[[1,1,2,1],[2,1,
1,1],[2,1,3,2,1,1,2,-1,4,-2]]],[[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,1]],[[2,1,1,
1],[1,1,2,-1,1,1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,4,1,3,-1,2,-2,
4,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,3,4,2,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[3,
1,1,1,4,2,2,-2,3,1]],[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,1,2,1,3,2]]],[[[2,1,1,1,2,
1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[2,1,1,1,2,-2,1,1,2,-1]]],[[[1,1,2,1],[
3,2,2,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,2,1],[4,1,5,-1,4,1,5,-1]],[[1,
1,2,1],[1,1,2,-1],[3,1,2,1,3,1],[4,1,5,1,4,1,5,1]]],[[[1,1,2,1],[2,1,3,1],[4,
1,3,1,2,1,1,1,4,-1]],[[1,1,2,-2,1,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,1,
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1,2,1],[2,1,1,1],[3,1,4,1,2,-2,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,
3,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,2,2,-2,3,1]],[[1,1,2,1],[2,1,3,1],[4,
1,3,1,2,1,1,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,-2,3,3,4,1]],[[2,-2],[3,1,
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1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,2,2,-2,3,1]],[[1,1,2,1],[2,1,1,1],[4,
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1],[2,1,1,1],[4,1,3,-1,2,-2,3,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,
3,2,4,-1]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,
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3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,1,3,-1,2,-2,4,-1]]],[[[1,1,2,1],[2,1,1,
1],[1,1,2,-1,4,-2,3,-1,4,1,2,-2,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,
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-1]],[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1],[
3,1,5,1,4,-1,3,-1,5,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,3,1,4,
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1,4,-1]]],[[[1,1,2,1],[2,-2,3,1,1,1,2,-1,3,2]],[[1,1,2,1],[3,1,1,1,2,-1,3,
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1,4,-1]],[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,2]],[[1,1,2,1],[2,-2,3,1,1,1,2,-1,3,
2]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,-1,2,-1,3,-1]],[[1,1,2,1],[2,1,3,
1],[4,1,3,1,2,1,1,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,2,1],[4,1,5,-1,4,1,5,
-1]],[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,1]]],[[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,
2]],[[1,1,2,1],[2,-2,3,2]]],[[[1,1,2,1],[2,1,1,1,2,-1,3,-3,2,-1]],[[2,-2],[3,
1,1,1,2,-2,1,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,3,4,2,2,1,1,1]],[[1,1,2,
1],[3,1,1,1,3,-1,2,1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1],[3,1,5,1,4,-1,
3,-1,5,1,4,-1]]],[[[1,1,2,1],[2,1,3,1],[4,1,3,1,2,1,1,1,4,-1]],[[1,1,2,1],[3,
1,1,1,2,-1,3,1,2,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,4,1,3,-1,2,-2,4,
-1]],[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,3,4,
2,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1]],[[1,1,2,1],[3,1,
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LIBTOM( "L3(4).2^2",
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80],[1,4,7,9,27,49,81],[1,3,4,9,11,12,32,36,37,82],[1,2,3,4,9,11,13,30,34,37,
83],[1,4,5,7,9,16,27,29,39,47,84],[1,2,4,7,9,12,13,27,32,34,43,48,85],[1,4,7,
9,27,50,86],[1,3,4,7,9,11,15,27,35,37,40,41,87],[1,4,9,12,15,30,32,35,88],[1,
4,7,8,10,14,31,33,89],[1,2,4,9,13,15,34,35,36,90],[1,4,7,8,10,14,31,33,54,
91],[1,4,7,9,27,30,36,92],[1,2,3,4,5,9,11,13,15,16,17,34,41,47,52,53,93],[1,2,
4,8,9,12,13,28,34,42,43,58,94],[1,4,7,14,33,57,95],[1,3,4,9,11,14,15,35,38,41,
44,51,96],[1,2,4,7,8,10,12,13,28,31,46,48,58,97],[1,3,4,5,9,11,12,15,16,32,41,
47,55,56,98],[1,2,4,5,9,13,16,34,39,49,99],[1,4,9,12,14,32,38,50,100],[1,2,4,
8,9,12,13,32,42,43,46,58,101],[1,3,4,5,9,11,16,37,47,50,102],[1,3,4,9,11,15,
36,41,50,103],[1,4,5,9,15,16,35,47,50,104],[1,2,3,4,5,9,11,12,13,16,17,37,39,
43,52,56,105],[1,3,4,9,11,15,30,41,50,106],[1,4,7,8,10,12,31,46,107],[1,3,4,9,
11,14,15,37,38,41,45,51,108],[1,4,7,8,9,10,14,27,31,33,109],[1,4,5,9,12,16,32,
39,49,110],[1,3,4,8,9,11,37,42,49,111],[1,4,8,9,15,35,42,49,112],[1,4,5,8,9,
16,36,39,42,113],[1,4,5,8,9,16,30,39,42,114],[1,2,4,9,13,14,34,38,50,115],[1,
2,4,5,9,12,13,15,16,35,39,43,53,55,116],[1,2,4,9,12,13,36,43,49,117],[1,2,4,9,
12,13,30,43,49,118],[1,4,5,9,14,16,30,38,47,119],[1,4,5,9,14,16,36,38,47,
120],[1,3,4,7,11,14,15,33,40,44,45,51,121],[1,4,10,14,15,44,54,57,122],[1,3,4,
10,11,14,45,54,57,123],[1,2,3,4,5,7,11,12,13,15,16,17,29,40,48,52,53,55,56,
124],[1,3,6,21,59,125],[1,4,6,23,59,126],[1,3,6,24,59,127],[1,5,6,20,25,59,
128],[1,2,6,19,22,59,129],[1,4,12,18,62,130],[1,4,5,16,18,60,61,62,131],[1,4,
15,18,62,132],[1,6,26,133],[1,2,4,6,8,12,13,19,58,65,134],[1,2,4,6,8,13,22,28,
65,135],[1,2,4,6,7,12,13,19,48,64,136],[1,3,4,6,7,11,15,24,40,64,137],[1,4,6,
8,9,23,42,65,138],[1,4,5,6,7,16,25,29,64,139],[1,4,6,10,14,23,54,67,140],[1,2,
3,4,5,6,11,13,16,17,19,20,21,22,23,24,25,52,63,66,68,69,70,71,72,141],[1,2,3,
5,17,26,73,74,75,142],[1,4,5,7,9,16,27,29,39,47,77,84,143],[1,4,7,9,14,27,33,
38,49,80,81,144],[1,2,4,7,8,9,10,12,13,27,28,31,32,34,42,43,46,48,58,79,85,94,
97,101,145],[1,3,4,7,9,11,14,15,27,33,35,37,38,40,41,44,45,51,80,87,96,108,
121,146],[1,4,7,8,9,10,27,31,42,50,79,86,147],[1,4,7,9,27,30,36,77,92,148],[1,
4,7,8,9,10,14,27,31,33,38,42,77,79,80,109,149],[1,2,4,7,8,10,12,13,28,31,46,
48,58,76,97,107,150],[1,4,5,7,9,14,16,27,29,30,33,36,38,39,47,80,84,92,119,
120,151],[1,2,4,7,9,12,13,27,30,32,34,36,43,48,49,81,85,92,117,118,152],[1,3,
4,7,9,11,15,27,35,37,40,41,49,77,81,87,153],[1,4,5,7,8,9,10,16,27,29,30,31,36,
39,42,47,79,84,92,113,114,154],[1,2,3,4,5,7,9,11,12,13,15,16,17,27,29,32,34,
35,37,39,40,41,43,47,48,52,53,55,56,84,85,87,93,98,105,116,124,155],[1,4,7,8,
9,10,14,27,31,33,38,54,78,80,89,91,109,156],[1,3,4,7,9,11,15,27,30,35,36,37,
40,41,50,86,87,92,103,106,157],[1,2,4,5,7,9,12,13,16,27,29,32,34,39,43,47,48,
49,81,84,85,99,110,158],[1,2,4,7,9,12,13,14,27,32,33,34,38,43,48,50,80,85,86,
100,115,159],[1,3,4,7,8,9,10,11,15,27,31,35,37,40,41,42,49,79,81,87,111,112,
160],[1,4,7,9,27,30,36,49,50,81,86,92,161],[1,4,7,9,14,27,33,38,57,80,95,
162],[1,2,4,7,9,12,13,27,32,34,43,48,50,77,85,86,163],[1,4,7,8,9,10,12,27,31,
42,46,79,107,164],[1,3,4,5,7,9,11,15,16,27,29,35,37,39,40,41,47,50,84,86,87,
102,104,165],[1,2,3,4,7,9,11,12,13,15,27,30,32,34,35,36,37,40,41,43,48,82,83,
85,87,88,90,92,166],[1,4,7,8,9,10,14,27,31,33,42,54,76,79,89,91,109,167],[1,4,
5,7,9,16,27,29,39,47,49,50,81,84,86,168],[1,2,4,5,8,9,12,13,15,16,28,34,35,36,
39,42,43,49,53,55,58,90,94,99,112,113,116,117,169],[1,3,4,5,9,11,12,14,15,16,
30,32,35,38,41,44,47,50,51,55,56,88,96,98,100,104,106,119,170],[1,3,4,7,11,14,
15,33,40,44,45,51,57,78,95,121,171],[1,2,3,4,5,9,11,13,14,15,16,17,30,34,37,
38,41,45,47,50,51,52,53,83,93,102,106,108,115,119,172],[1,2,3,4,5,8,9,11,12,
13,16,17,28,30,34,37,39,42,43,49,52,56,58,83,94,99,105,111,114,118,173],[1,2,
4,5,8,9,12,13,15,16,30,32,35,39,42,43,46,49,53,55,58,88,101,110,112,114,116,
118,174],[1,2,4,7,8,10,12,13,14,28,31,33,46,48,58,89,97,107,175],[1,2,3,4,5,9,
11,13,14,15,16,17,34,35,36,38,41,44,47,50,51,52,53,90,93,96,103,104,115,120,
176],[1,2,3,4,5,8,9,11,12,13,16,17,32,36,37,39,42,43,46,49,52,56,58,82,101,
105,110,111,113,117,177],[1,3,4,7,8,10,11,14,15,31,33,40,44,45,51,54,57,91,95,
121,122,123,178],[1,3,4,5,9,11,12,14,15,16,32,36,37,38,41,45,47,50,51,55,56,
82,98,100,102,103,108,120,179],[1,4,6,15,23,59,126,180],[1,3,4,6,11,21,23,24,
59,69,125,126,127,181],[1,4,6,9,23,59,126,182],[1,2,4,6,13,19,22,23,59,66,126,
129,183],[1,4,5,6,16,20,23,25,59,72,126,128,184],[1,4,6,15,23,59,126,185],[1,
4,6,14,23,59,126,186],[1,2,3,5,6,17,19,20,22,24,25,59,68,70,127,128,129,187],[
1,2,3,5,6,17,19,20,21,22,25,59,63,71,125,128,129,188],[1,4,5,12,15,16,18,55,
60,61,62,130,131,132,189],[1,2,6,22,26,74,133,190],[1,3,6,21,26,73,133,191],[
1,5,6,25,26,75,133,192],[1,4,6,7,8,10,31,64,65,67,76,193],[1,4,6,7,9,27,64,77,
194],[1,4,6,7,14,33,64,78,195],[1,2,3,4,5,6,7,11,12,13,15,16,17,19,24,25,29,
40,48,52,53,55,56,64,70,124,136,137,139,196],[1,2,4,6,8,9,12,13,19,22,23,28,
34,42,43,58,65,66,94,134,135,138,197],[1,4,6,7,18,23,62,64,198],[1,4,6,8,18,
23,62,65,199],[1,4,6,10,18,23,62,67,200],[1,4,7,8,9,10,14,27,31,33,38,42,54,
76,77,78,79,80,89,91,109,149,156,167,201],[1,4,7,8,9,10,14,27,31,33,38,42,57,
77,79,80,95,109,149,162,202],[1,3,4,7,8,9,10,11,14,15,27,31,33,35,37,38,40,41,
42,44,45,49,51,77,79,80,81,87,96,108,109,111,112,121,144,146,149,153,160,
203],[1,2,4,7,8,9,10,12,13,14,27,28,31,32,33,34,38,42,43,46,48,50,58,77,79,80,
85,86,94,97,100,101,109,115,145,147,149,159,163,204],[1,4,5,7,8,9,10,14,16,27,
29,30,31,33,36,38,39,42,47,77,79,80,84,92,109,113,114,119,120,143,148,149,151,
154,205],[1,4,7,8,9,10,12,14,27,31,33,38,42,46,77,79,80,107,109,149,164,206],[
1,4,7,8,9,10,14,27,30,31,33,36,38,42,77,79,80,92,109,148,149,207],[1,2,3,4,5,
7,8,9,10,11,12,13,15,16,17,27,28,29,30,31,32,34,35,36,37,39,40,41,42,43,46,47,
48,49,52,53,55,56,58,79,81,82,83,84,85,87,88,90,92,93,94,97,98,99,101,105,110,
111,112,113,114,116,117,118,124,145,152,154,155,158,160,166,169,173,174,177,
208],[1,4,7,8,9,10,12,14,27,31,33,42,46,50,54,76,79,86,89,91,107,109,147,164,
167,209],[1,4,7,8,9,10,14,27,31,33,38,49,54,57,78,80,81,89,91,95,109,144,156,
162,210],[1,3,4,7,8,9,10,11,14,15,27,31,33,35,37,38,40,41,44,45,51,54,57,78,
80,87,89,91,95,96,108,109,121,122,123,146,156,162,171,178,211],[1,2,4,5,7,9,
12,13,14,16,27,29,30,32,33,34,36,38,39,43,47,48,49,50,80,81,84,85,86,92,99,
100,110,115,117,118,119,120,144,151,152,158,159,161,168,212],[1,2,3,4,7,9,11,
12,13,15,27,30,32,34,35,36,37,40,41,43,48,49,50,77,81,82,83,85,86,87,88,90,92,
103,106,117,118,148,152,153,157,161,163,166,213],[1,2,4,7,8,9,10,12,13,14,27,
28,31,32,33,34,42,43,46,48,54,58,76,79,85,89,91,94,97,101,107,109,145,150,164,
167,175,214],[1,2,3,4,5,7,9,11,12,13,14,15,16,17,27,29,30,32,33,34,35,36,37,
38,39,40,41,43,44,45,47,48,50,51,52,53,55,56,80,82,83,84,85,86,87,88,90,92,93,
96,98,100,102,103,104,105,106,108,115,116,119,120,121,124,146,151,155,157,159,
165,166,170,172,176,179,215],[1,2,3,4,5,7,9,11,12,13,15,16,17,27,29,32,34,35,
37,39,40,41,43,47,48,49,50,52,53,55,56,77,81,84,85,86,87,93,98,99,102,104,105,
110,116,124,143,153,155,158,163,165,168,216],[1,3,4,5,7,8,9,10,11,15,16,27,29,
30,31,35,36,37,39,40,41,42,47,49,50,79,81,84,86,87,92,102,103,104,106,111,112,
113,114,147,154,157,160,161,165,168,217],[1,2,4,6,9,13,19,22,23,34,59,66,126,
129,182,183,218],[1,3,4,6,9,11,15,21,23,24,41,59,69,125,126,127,180,181,182,
219],[1,4,6,9,15,23,35,59,126,182,185,220],[1,4,6,9,23,50,59,126,182,221],[1,
4,6,9,14,23,38,59,126,182,186,222],[1,4,5,6,9,16,20,23,25,47,59,72,126,128,
182,184,223],[1,4,6,9,23,36,59,126,182,224],[1,4,6,14,15,23,44,59,126,180,185,
186,225],[1,2,3,4,5,6,11,13,16,17,19,20,21,22,23,24,25,52,59,63,66,68,69,70,
71,72,125,126,127,128,129,141,181,183,184,187,188,226],[1,3,4,6,11,14,15,21,
23,24,51,59,69,125,126,127,181,185,186,227],[1,2,4,5,6,13,15,16,19,20,22,23,
25,53,59,66,72,126,128,129,180,183,184,228],[1,4,7,8,10,18,31,76,229],[1,2,3,
5,6,17,21,22,25,26,71,73,74,75,133,142,190,191,192,230],[1,2,4,6,7,8,10,12,13,
19,28,31,46,48,58,64,65,67,76,97,107,134,136,150,193,231],[1,4,6,7,8,9,10,14,
23,27,31,33,42,54,64,65,67,76,79,89,91,109,138,140,167,193,232],[1,4,5,6,7,9,
16,25,27,29,39,47,64,77,84,139,143,194,233],[1,2,4,6,7,8,10,12,13,22,28,31,46,
48,58,64,65,67,76,97,107,135,150,193,234],[1,2,4,6,7,9,12,13,19,27,32,34,43,
48,50,64,77,85,86,136,163,194,235],[1,3,4,6,7,9,11,15,24,27,35,37,40,41,49,64,
77,81,87,137,153,194,236],[1,3,4,6,7,11,14,15,24,33,40,44,45,51,57,64,78,95,
121,137,171,195,237],[1,2,4,6,7,12,13,18,19,22,23,48,62,64,66,130,136,198,
238],[1,3,4,6,7,11,15,18,21,23,24,40,62,64,69,132,137,198,239],[1,4,5,6,7,16,
18,20,23,25,29,60,61,62,64,72,131,139,198,240],[1,2,4,6,8,12,13,18,19,22,23,
58,62,65,66,130,134,199,241],[1,4,5,7,8,9,10,14,16,27,29,30,31,33,36,38,39,42,
47,54,76,77,78,79,80,84,89,91,92,109,113,114,119,120,143,148,149,151,154,156,
167,201,205,207,242],[1,2,3,4,5,7,8,9,10,11,12,13,14,15,16,17,27,28,29,30,31,
32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,58,77,
79,80,81,82,83,84,85,86,87,88,90,92,93,94,96,97,98,99,100,101,102,103,104,105,
106,108,109,110,111,112,113,114,115,116,117,118,119,120,121,124,143,144,145,
146,147,148,149,151,152,153,154,155,157,158,159,160,161,163,165,166,168,169,
170,172,173,174,176,177,179,203,204,205,208,212,213,215,216,217,243],[1,2,4,7,
8,9,10,12,13,14,27,28,31,32,33,34,38,42,43,46,48,50,54,58,76,77,78,79,80,85,
86,89,91,94,97,100,101,107,109,115,145,147,149,150,156,159,163,164,167,175,
201,204,206,209,214,244],[1,3,4,7,8,9,10,11,12,14,15,27,30,31,33,35,36,37,38,
40,41,42,44,45,46,49,51,77,79,80,81,87,92,96,107,108,109,111,112,121,144,146,
148,149,153,160,164,203,206,207,245],[1,2,4,7,8,9,10,12,13,14,27,28,30,31,32,
33,34,36,38,42,43,46,48,50,57,58,77,79,80,85,86,92,94,95,97,100,101,109,115,
145,147,148,149,159,162,163,202,204,207,246],[1,3,4,7,8,9,10,11,14,15,27,31,
33,35,37,38,40,41,42,44,45,49,51,54,57,76,77,78,79,80,81,87,89,91,95,96,108,
109,111,112,121,122,123,144,146,149,153,156,160,162,167,171,178,201,202,203,
210,211,247],[1,4,5,7,8,9,10,12,14,16,27,29,30,31,33,36,38,39,42,46,47,57,77,
79,80,84,92,95,107,109,113,114,119,120,143,148,149,151,154,162,164,202,205,
206,248],[1,2,4,6,9,13,15,19,22,23,34,35,36,59,66,90,126,129,182,183,185,218,
220,224,249],[1,2,4,6,9,13,14,19,22,23,34,38,50,59,66,115,126,129,182,183,186,
218,221,222,250],[1,2,3,4,5,6,9,11,13,15,16,17,19,20,21,22,23,24,25,34,41,47,
52,53,59,63,66,68,69,70,71,72,93,125,126,127,128,129,141,180,181,182,183,184,
187,188,218,219,223,226,228,251],[1,4,5,6,9,15,16,20,23,25,35,47,50,59,72,104,
126,128,182,184,185,220,221,223,252],[1,4,5,6,9,14,16,20,23,25,36,38,47,59,72,
120,126,128,182,184,186,222,223,224,253],[1,3,4,6,9,11,14,15,21,23,24,35,38,
41,44,51,59,69,96,125,126,127,180,181,182,185,186,219,220,222,225,227,254],[1,
3,4,6,9,11,15,21,23,24,36,41,50,59,69,103,125,126,127,180,181,182,219,221,224,
255],[1,4,7,8,9,10,14,18,27,31,33,42,54,62,76,79,89,91,109,167,229,256],[1,4,
6,8,9,23,26,42,65,133,138,257],[1,4,6,10,14,23,26,54,67,133,140,258],[1,4,6,7,
8,9,10,14,27,31,33,38,42,54,64,65,67,76,77,78,79,80,89,91,109,149,156,167,193,
194,195,201,259],[1,2,4,6,7,8,9,10,12,13,14,19,22,23,27,28,31,32,33,34,42,43,
46,48,54,58,64,65,66,67,76,79,85,89,91,94,97,101,107,109,134,135,136,138,140,
145,150,164,167,175,193,197,214,231,232,234,260],[1,2,3,4,5,6,7,9,11,12,13,15,
16,17,19,24,25,27,29,32,34,35,37,39,40,41,43,47,48,49,50,52,53,55,56,64,70,77,
81,84,85,86,87,93,98,99,102,104,105,110,116,124,136,137,139,143,153,155,158,
163,165,168,194,196,216,233,235,236,261],[1,2,3,4,5,6,7,11,12,13,15,16,17,18,
19,20,21,22,23,24,25,29,40,48,52,53,55,56,60,61,62,63,64,66,68,69,70,71,72,
124,130,131,132,136,137,139,141,189,196,198,238,239,240,262],[1,2,3,4,5,7,8,9,
10,11,12,13,14,15,16,17,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,
45,46,47,48,49,50,51,52,53,54,55,56,57,58,76,77,78,79,80,81,82,83,84,85,86,87,
88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,
110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,143,144,145,146,
147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,
166,167,168,169,170,171,172,173,174,175,176,177,178,179,201,202,203,204,205,
206,207,208,209,210,211,212,213,214,215,216,217,242,243,244,245,246,247,248,
263],[1,2,3,4,5,6,9,11,13,14,15,16,17,19,20,21,22,23,24,25,34,35,36,38,41,44,
47,50,51,52,53,59,63,66,68,69,70,71,72,90,93,96,103,104,115,120,125,126,127,
128,129,141,176,180,181,182,183,184,185,186,187,188,218,219,220,221,222,223,
224,225,226,227,228,249,250,251,252,253,254,255,264],[1,4,7,8,9,10,12,14,18,
27,31,33,42,46,50,54,62,76,79,86,89,91,107,109,130,147,164,167,209,229,256,
265],[1,4,5,6,8,9,16,20,23,25,26,30,39,42,65,72,75,114,133,138,192,257,266],[
1,2,4,6,8,9,12,13,19,22,23,26,28,34,42,43,58,65,66,74,94,133,134,135,138,190,
197,257,267],[1,3,4,6,8,9,11,21,23,24,26,37,42,49,65,69,73,111,133,138,191,
257,268],[1,3,4,6,10,11,14,21,23,24,26,45,54,57,67,69,73,123,133,140,191,258,
269],[1,4,6,8,9,18,23,42,59,62,65,126,138,182,199,270],[1,4,6,10,14,18,23,54,
59,62,67,126,140,186,200,271],[1,3,4,6,7,8,9,10,11,14,15,24,27,31,33,35,37,38,
40,41,42,44,45,49,51,54,57,64,65,67,76,77,78,79,80,81,87,89,91,95,96,108,109,
111,112,121,122,123,137,144,146,149,153,156,160,162,167,171,178,193,194,195,
201,202,203,210,211,236,237,247,259,272],[1,4,5,6,7,8,9,10,14,16,25,27,29,30,
31,33,36,38,39,42,47,54,64,65,67,76,77,78,79,80,84,89,91,92,109,113,114,119,
120,139,143,148,149,151,154,156,167,193,194,195,201,205,207,233,242,259,273],[
1,2,4,6,7,8,9,10,12,13,14,19,27,28,31,32,33,34,38,42,43,46,48,50,54,58,64,65,
67,76,77,78,79,80,85,86,89,91,94,97,100,101,107,109,115,134,136,145,147,149,
150,156,159,163,164,167,175,193,194,195,201,204,206,209,214,231,235,244,259,
274],[1,2,3,4,5,6,8,9,11,12,13,16,17,19,20,21,22,23,24,25,26,28,30,34,37,39,
42,43,49,52,56,58,63,65,66,68,69,70,71,72,73,74,75,83,94,99,105,111,114,118,
133,134,135,138,141,142,173,190,191,192,197,230,257,266,267,268,275],[1,2,4,6,
8,9,12,13,18,19,22,23,28,34,42,43,58,59,62,65,66,94,126,129,130,134,135,138,
182,183,197,199,218,241,270,276],[1,4,5,6,8,9,16,18,23,36,39,42,59,60,61,62,
65,113,126,131,138,182,199,224,270,277],[1,4,6,8,9,15,18,23,35,42,49,59,62,65,
112,126,132,138,182,185,199,220,270,278],[1,4,6,10,14,15,18,23,44,54,57,59,62,
67,122,126,132,140,180,185,186,200,225,271,279],[1,2,3,4,5,6,7,8,9,10,11,12,
13,14,15,16,17,19,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,
45,46,47,48,49,50,51,52,53,54,55,56,57,58,64,65,67,70,76,77,78,79,80,81,82,83,
84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,
107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,134,
136,137,139,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,
159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,
178,179,193,194,195,196,201,202,203,204,205,206,207,208,209,210,211,212,213,
214,215,216,217,231,233,235,236,237,242,243,244,245,246,247,248,259,261,263,
272,273,274,280],[1,4,6,7,8,9,10,14,18,23,27,31,33,38,42,54,62,64,65,67,76,77,
78,79,80,89,91,109,138,140,149,156,167,193,194,195,198,199,200,201,229,232,
256,259,281],[1,2,4,5,6,8,9,12,13,15,16,18,19,22,23,28,34,35,36,39,42,43,49,
53,55,58,59,60,61,62,65,66,90,94,99,112,113,116,117,126,129,130,131,132,134,
135,138,169,182,183,185,189,197,199,218,220,224,241,249,270,276,277,278,282],[
1,2,4,6,7,8,9,10,12,13,14,18,19,22,23,27,28,31,32,33,34,38,42,43,46,48,50,54,
58,62,64,65,66,67,76,77,78,79,80,85,86,89,91,94,97,100,101,107,109,115,130,
134,135,136,138,140,145,147,149,150,156,159,163,164,167,175,193,194,195,197,
198,199,200,201,204,206,209,214,229,231,232,234,235,238,241,244,256,259,260,
265,274,281,283],[1,4,6,7,8,9,10,14,18,23,26,27,31,33,38,42,54,59,62,64,65,67,
76,77,78,79,80,89,91,109,126,133,138,140,149,156,167,182,186,193,194,195,198,
199,200,201,222,229,232,256,257,258,259,270,271,281,284],[1,2,4,6,7,8,9,10,12,
13,14,18,19,22,23,26,27,28,31,32,33,34,38,42,43,46,48,50,54,58,59,62,64,65,66,
67,74,76,77,78,79,80,85,86,89,91,94,97,100,101,107,109,115,126,129,130,133,
134,135,136,138,140,145,147,149,150,156,159,163,164,167,175,182,183,186,190,
193,194,195,197,198,199,200,201,204,206,209,214,218,221,222,229,231,232,234,
235,238,241,244,250,256,257,258,259,260,265,267,270,271,274,276,281,283,284,
285],[1,4,5,6,7,8,9,10,14,16,18,20,23,25,26,27,29,30,31,33,36,38,39,42,47,54,
59,60,61,62,64,65,67,72,75,76,77,78,79,80,84,89,91,92,109,113,114,119,120,126,
128,131,133,138,139,140,143,148,149,151,154,156,167,182,184,186,192,193,194,
195,198,199,200,201,205,207,222,223,224,229,232,233,240,242,253,256,257,258,
259,266,270,271,273,277,281,284,286],[1,3,4,6,7,8,9,10,11,14,15,18,21,23,24,
26,27,31,33,35,37,38,40,41,42,44,45,49,51,54,57,59,62,64,65,67,69,73,76,77,78,
79,80,81,87,89,91,95,96,108,109,111,112,121,122,123,125,126,127,132,133,137,
138,140,144,146,149,153,156,160,162,167,171,178,180,181,182,185,186,191,193,
194,195,198,199,200,201,202,203,210,211,219,220,222,225,227,229,232,236,237,
239,247,254,256,257,258,259,268,269,270,271,272,278,279,281,284,287],[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]],
0,[[1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,3,1],[1,3,1],[1,1,1],[1,3,1],[1,2,1,
1],[1,1,1],[1,2,1,1],[1,1,1],[1,1,1],[1,1,2,1],[1,1,1,1,1],[1,1],[1,3,1,1],[1,
3,1,1],[1,1,1,1],[1,1,1,1],[1,3,1,1],[1,3,1,1],[1,1,1,1],[1,1],[1,3,1,2,1],[1,
4,3,1,6,1],[1,3,4,1,6,1],[1,1,1,1],[1,7,1,2,4,1],[1,1,1,2,1],[1,3,1,2,1],[1,4,
1,1,2,1],[1,1,1,2,1],[1,1,1,1],[1,4,1,1,2,1],[1,1,1,2,1],[1,1,4,1,2,1],[1,2,3,
1,1,1,1],[1,2,1,1,1,1,1],[1,5,2,1,1],[1,2,1,1,1,1,1],[1,1,1,2,1],[1,4,1,2,1,
1],[1,3,1,2,1],[1,1,4,1,2,1],[1,2,3,1,1,1,1],[1,1,1,1],[1,1,1,1],[1,2,1,1,1,1,
1],[1,2,2,1,2,1,1,1,4,1],[1,2,1,2,1,1,1,1],[1,5,2,1,1],[1,1,2,1,1,1,1],[1,2,1,
2,1,1,1,1],[1,1,1,1],[1,2,3,1,1,1,1],[1,4,1],[1,5,1,1],[1,1,1,1],[1,5,1,1],[1,
3,1,3,1,3,1,1,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,4,3,1,3,1,1,1,1],[1,3,4,1,1],[1,
1,3,3,1,3,1,1,1,1],[1,4,3,1,3,1,1,1,1],[1,3,3,1,1,3,1,1,1,1],[1,1,1,1,1,1,1,1,
1,1],[1,3,4,1,3,1,1,1,1],[1,7,1,1],[1,1,1,1],[1,7,1,1],[1,15,5,10,20,15,1],[1,
3,1,6,3,1],[1,3,1,6,3,1],[1,11,1,4,2,8,1,2,4,1],[1,3,1,2,4,1,2,4,1],[1,3,1,2,
1,2,1],[1,4,1,1,2,2,1,1,1,1],[1,4,4,1,1,2,2,1,1,1,1],[1,3,8,1,2,12,1,2,2,2,
1],[1,4,3,1,2,2,2,1,1,1,2,2,1],[1,3,1,2,1,2,1],[1,4,3,1,2,2,2,1,1,1,2,2,1],[1,
1,1,2,2,1,1,1,1],[1,7,1,2,4,4,1,2,1],[1,4,1,1,2,2,1,1,1,1],[1,11,1,4,8,2,2,1,
4,1],[1,3,1,2,1,1,1,1],[1,4,2,1,4,1,1,2,1,2,8,1,1,1,2,2,1],[1,6,5,2,1,1,11,2,
1,1,1,2,1],[1,3,1,2,1,2,1],[1,2,1,1,1,2,3,1,1,1,2,2,1],[1,4,7,1,2,4,2,6,1,1,1,
2,2,1],[1,2,1,4,1,1,2,1,2,1,1,1,2,2,1],[1,4,1,4,1,2,2,1,1,1,1],[1,1,1,2,2,1,1,
1,1],[1,2,5,2,1,3,1,1,1,1,2,2,1],[1,4,1,4,1,2,2,1,1,1,1],[1,2,1,1,1,1,1,1,1,
1],[1,1,4,1,2,2,1,1,1,1],[1,2,4,1,4,1,2,1,1,2,8,1,1,1,2,2,1],[1,2,1,1,1,1,1,1,
1,1],[1,7,1,2,4,4,1,2,1],[1,6,1,1,3,2,1,1,1,1,2,2,1],[1,7,1,2,2,4,2,1,1,1,1],[
1,1,4,1,2,2,1,1,1,1],[1,4,5,2,1,2,1,1,1,1],[1,5,2,1,2,1,1,1,1],[1,5,4,2,1,2,1,
1,1,1],[1,5,4,2,1,2,1,1,1,1],[1,4,1,1,2,2,1,1,1,1],[1,2,1,4,1,1,1,2,2,1,1,1,2,
2,1],[1,2,1,1,1,1,1,1,1,1],[1,2,1,1,1,1,1,1,1,1],[1,1,4,1,2,2,1,1,1,1],[1,1,4,
1,2,2,1,1,1,1],[1,4,3,1,2,2,2,1,2,1,1,2,1],[1,5,2,1,2,1,1,1,1],[1,4,5,2,2,1,1,
1,1,1],[1,2,2,3,4,1,1,1,1,1,6,4,1,1,1,1,1,1,1,1],[1,1,4,4,1,1],[1,9,4,12,1,
1],[1,9,4,12,1,1],[1,3,4,1,3,1,1],[1,3,4,1,3,1,1],[1,5,5,1,1,1],[1,5,6,5,1,1,
1,1,1],[1,5,5,1,1,1],[1,7,1,1],[1,6,3,4,1,3,3,4,3,1,1],[1,4,3,4,1,6,4,1,1,1],[
1,6,3,4,1,3,3,4,3,1,1],[1,6,3,4,1,3,3,4,3,1,1],[1,9,4,4,3,4,3,1,1],[1,3,4,4,1,
6,4,1,1,1],[1,9,4,4,3,4,3,1,1],[1,4,4,3,4,1,3,3,3,10,1,1,1,1,1,1,1,3,1,1,1,1,
1,1,1,1],[1,1,7,7,7,1,1,1,1,1],[1,3,16,1,6,24,3,4,12,12,1,6,1],[1,3,1,2,4,1,2,
4,4,1,2,1],[1,8,11,1,4,2,8,4,20,1,4,2,2,2,4,4,4,4,8,1,2,4,4,4,1],[1,8,3,1,2,4,
4,4,1,2,2,2,4,4,4,4,4,8,1,2,4,4,4,1],[1,11,1,4,2,8,1,2,4,4,1,2,1],[1,3,1,6,3,
2,2,1,2,1],[1,11,1,4,6,8,4,3,2,2,4,4,1,1,1,4,1],[1,4,15,5,10,20,6,6,1,15,3,6,
6,1,3,3,1],[1,3,8,1,2,4,12,1,2,1,2,1,4,2,2,1,1,1,2,2,1],[1,4,3,1,2,2,2,1,1,1,
1,1,2,2,2,1,1,1,2,2,1],[1,4,3,1,6,2,2,3,1,1,2,2,2,1,1,1,1],[1,11,8,1,4,2,8,12,
1,2,1,2,1,2,4,2,1,1,1,2,2,1],[1,4,4,3,8,1,2,2,2,2,2,12,16,1,2,1,1,1,1,2,2,2,2,
2,2,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,11,1,4,2,8,8,1,2,4,4,4,1,1,2,1,2,1],[1,4,3,
1,2,2,2,1,1,1,1,1,2,2,2,1,1,1,2,2,1],[1,4,3,8,1,2,2,2,12,1,2,1,1,2,2,2,2,2,1,
1,1,2,2,1],[1,4,3,1,2,2,2,4,1,1,2,1,4,2,2,2,1,1,1,2,2,1],[1,4,11,1,4,2,8,2,2,
1,2,1,1,2,2,4,2,1,1,1,2,2,1],[1,3,1,2,1,1,1,2,2,1,1,1,1],[1,3,1,2,4,1,2,4,4,1,
2,1],[1,4,3,1,6,2,2,3,1,1,2,2,2,1,1,1,1],[1,11,1,4,2,8,8,1,2,4,4,1,2,1],[1,4,
3,8,1,2,2,2,12,1,2,1,1,2,2,2,2,2,1,1,1,2,2,1],[1,4,4,3,1,2,2,2,2,2,1,1,1,1,1,
1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,19,5,12,2,24,4,1,16,2,4,8,1,1,1,2,2,1],[1,3,8,
1,2,12,1,2,2,2,2,2,1,1,1,1],[1,6,5,4,2,1,1,11,2,2,2,1,1,1,1,1,1,1,2,2,2,1,1,1,
1,1,1,1,1],[1,2,1,4,1,1,2,2,3,2,1,1,1,1,1,2,1,1,2,2,2,1,1,1,1,1,1,1,1],[1,4,3,
1,2,6,2,3,2,1,1,2,2,1,1,1,1],[1,4,6,1,4,1,3,2,2,1,2,8,1,1,1,1,1,2,1,1,2,2,2,1,
1,1,1,1,1,1,1],[1,6,4,5,4,2,1,2,1,11,2,8,2,1,1,1,1,1,1,1,2,2,2,1,1,1,1,1,1,1,
1],[1,2,5,4,2,1,3,1,2,2,1,1,1,1,1,1,2,1,2,2,2,1,1,1,1,1,1,1,1],[1,4,7,1,2,4,6,
6,4,1,1,2,3,2,2,1,1,1,1],[1,4,2,1,4,1,1,2,2,3,2,8,1,1,1,1,1,2,1,1,2,2,2,1,1,1,
1,1,1,1,1],[1,2,4,5,4,2,1,2,3,1,2,8,1,1,1,1,1,1,2,1,2,2,2,1,1,1,1,1,1,1,1],[1,
4,11,1,4,8,2,2,2,2,1,2,1,1,2,4,2,1,1,1,2,2,1],[1,6,1,4,1,3,2,2,1,2,1,1,1,1,1,
2,1,1,2,2,2,1,1,1,1,1,1,1,1],[1,9,4,9,12,1,1,1],[1,10,9,4,9,4,12,12,1,12,1,1,
1,1],[1,9,4,9,12,1,1,1],[1,6,9,4,9,2,6,12,1,6,1,2,1],[1,9,6,4,9,2,12,6,1,6,1,
2,1],[1,9,4,9,12,1,1,1],[1,9,4,9,12,1,1,1],[1,3,9,3,4,9,1,1,3,12,3,1,3,3,1,1,
1,1],[1,3,1,3,4,3,1,1,4,3,3,1,1,3,1,1,1,1],[1,5,6,5,5,5,1,5,1,1,1,1,1,1,1],[1,
1,7,7,1,1,1,1],[1,7,7,7,1,1,1,1],[1,7,7,7,1,1,1,1],[1,15,16,5,10,20,15,8,4,8,
1,1],[1,3,16,1,6,3,4,1,1],[1,3,16,1,6,3,4,1,1],[1,6,6,3,4,4,1,3,3,3,3,6,12,4,
4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,10,9,4,4,3,3,21,4,4,4,4,3,3,3,6,1,4,3,1,1,
1,1],[1,15,10,5,6,10,6,5,1],[1,15,10,5,6,10,6,5,1],[1,15,10,5,6,10,6,5,1],[1,
27,9,20,6,40,12,3,30,6,12,12,24,2,1,2,3,3,6,6,12,3,6,6,1],[1,11,1,4,6,8,4,3,2,
2,4,4,8,1,1,1,4,4,1,2,1],[1,8,11,1,4,6,8,4,4,4,3,2,2,2,2,4,4,4,4,4,4,4,8,1,1,
1,2,2,4,4,4,4,4,4,1,1,1,2,2,1],[1,8,11,1,4,6,8,4,20,4,3,4,2,2,2,2,4,4,4,4,4,4,
8,1,1,1,2,2,4,4,4,4,4,4,1,1,1,2,2,1],[1,11,16,1,4,6,8,4,24,3,4,2,2,2,2,4,12,4,
12,1,1,1,6,2,4,4,4,4,4,1,1,1,2,2,1],[1,11,1,4,6,8,16,4,3,2,2,4,4,8,1,1,1,4,4,
1,2,1],[1,11,1,4,6,8,4,3,4,2,2,4,4,4,1,1,1,4,4,2,1,1],[1,8,4,11,8,1,4,2,8,2,4,
20,2,12,16,1,4,2,1,2,2,2,1,1,1,2,2,2,4,4,4,2,4,2,4,4,4,4,8,1,1,1,1,1,2,1,1,1,
1,2,4,4,2,2,4,2,2,2,2,2,2,2,2,2,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,19,5,12,2,24,8,
4,1,16,2,4,4,4,8,1,1,2,1,2,2,2,1,1,1,1],[1,11,1,4,2,8,8,1,2,4,4,4,4,4,1,1,2,2,
1,2,2,1,1,1,1],[1,8,11,1,4,2,8,4,8,4,1,2,4,2,2,4,4,4,4,4,8,4,4,1,1,2,2,1,2,4,
4,2,4,4,4,1,1,1,2,2,1],[1,4,3,8,1,2,2,2,4,12,1,2,1,1,2,1,1,4,2,2,2,2,4,2,1,2,
1,1,1,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,4,4,3,1,6,2,2,2,2,3,2,1,1,1,2,1,2,
2,2,2,2,2,1,1,1,1,1,1,1,1,1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,8,19,5,12,2,24,12,
20,4,1,4,16,2,2,2,4,4,8,12,8,16,1,1,2,1,2,4,8,4,6,2,1,2,1,1,2,1],[1,4,8,3,8,1,
2,4,2,2,4,4,12,16,1,2,1,1,2,1,2,1,2,4,2,4,4,2,4,4,2,2,2,8,4,4,4,4,1,1,1,1,1,1,
2,1,1,1,2,4,2,2,2,2,2,2,2,4,2,2,2,2,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,4,4,3,16,
1,6,2,2,2,2,24,16,3,4,1,1,1,1,12,2,2,2,12,2,2,2,4,4,4,4,1,1,6,1,1,1,2,2,2,2,2,
2,2,2,4,1,1,1,1,1,1,1,1],[1,4,11,8,1,4,2,8,2,2,12,1,2,1,2,1,1,1,2,2,2,4,2,2,4,
1,1,1,2,1,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,12,9,4,9,18,4,12,12,9,1,12,1,
4,1,2,1],[1,10,9,4,9,9,9,4,12,12,9,1,12,1,1,1,1,1,1,1],[1,9,4,9,18,12,9,1,1,1,
2,1],[1,9,4,9,12,9,1,1,1,1],[1,9,4,9,18,12,9,1,1,1,2,1],[1,9,12,4,9,18,4,12,
12,9,1,12,1,4,1,2,1],[1,9,4,9,12,9,1,1,1,1],[1,9,4,9,18,12,9,1,1,1,1,1,1],[1,
6,10,9,6,4,9,9,9,24,2,2,4,6,12,12,6,9,1,2,6,6,12,6,6,6,1,1,1,2,2,6,1,1,1,2,2,
1],[1,10,9,4,9,9,9,4,12,12,9,1,12,1,1,1,1,1,1,1],[1,6,9,6,4,9,9,9,2,2,6,12,6,
9,1,6,6,1,2,2,1,1,1,1],[1,15,5,10,20,16,15,1,1],[1,1,7,7,7,7,7,7,7,1,7,1,1,1,
1,1,1,1,1,1],[1,12,15,16,5,10,20,18,18,16,3,15,9,18,18,8,4,8,1,9,9,4,8,3,1,
1],[1,27,16,5,16,6,32,12,16,3,18,6,12,24,8,4,8,1,3,3,6,6,4,8,3,1,1],[1,3,16,
16,1,6,24,16,3,4,12,12,4,1,6,4,1,1,1],[1,4,15,16,5,10,20,6,6,16,1,15,3,6,6,8,
4,8,1,3,3,4,1,1,1],[1,12,3,16,1,6,6,6,16,3,3,3,6,6,6,4,1,3,3,4,3,1,1],[1,12,3,
16,1,6,6,6,16,3,3,3,6,6,6,4,1,3,3,4,3,1,1],[1,12,3,16,1,6,6,6,16,3,6,3,3,6,6,
4,1,3,3,4,3,1,1],[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],[1,15,16,10,5,30,6,10,10,10,5,6,6,6,
5,10,6,5,1,1],[1,10,15,10,5,15,15,6,10,10,10,15,6,5,10,6,5,1,1],[1,27,16,9,20,
6,40,12,24,3,4,6,30,6,6,12,12,12,12,24,2,1,2,3,3,6,6,6,6,12,12,12,12,12,1,3,3,
6,6,6,6,1,3,3,1],[1,8,8,11,16,1,4,6,8,4,4,20,4,4,24,32,3,4,4,2,2,2,2,2,2,2,2,
4,12,4,4,4,4,4,4,4,12,4,4,4,8,8,8,8,8,8,1,1,1,2,2,2,6,2,2,2,2,2,2,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,4,4,4,4,4,4,4,4,1,1,1,2,2,2,2,2,2,1],[1,8,27,9,20,6,40,20,20,12,3,4,
30,2,6,2,12,12,4,12,20,4,24,24,2,1,2,3,3,2,2,6,6,4,12,4,4,12,12,4,1,1,3,4,6,2,
2,2,6,4,1,1,1,2,2,1],[1,8,11,1,4,6,8,4,16,4,4,3,4,2,2,2,4,2,4,4,4,4,4,4,8,4,8,
1,1,1,2,2,4,4,4,4,4,4,4,4,1,1,2,1,2,2,2,1,1,1,1],[1,8,11,1,4,6,8,4,20,4,3,4,4,
2,2,2,2,4,4,4,4,4,4,4,8,8,1,1,1,2,2,4,4,4,4,4,4,4,4,1,1,2,1,2,2,2,1,1,1,1],[1,
8,27,9,20,6,40,4,12,4,3,30,6,2,2,12,4,4,12,4,4,4,8,24,8,2,1,2,3,3,2,2,6,6,4,4,
4,12,4,4,4,8,8,1,1,3,2,6,2,2,6,4,4,1,1,1,2,2,1],[1,11,16,1,4,6,8,16,4,24,3,4,
2,2,2,2,4,12,4,8,12,8,1,1,1,6,2,4,4,4,4,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,12,9,
4,9,18,18,4,12,12,9,9,9,1,12,9,1,4,1,2,2,1,1,1,1],[1,12,9,4,9,18,18,4,12,12,9,
9,9,1,12,9,1,4,1,2,2,1,1,1,1],[1,12,10,9,12,4,9,9,18,9,18,48,4,4,4,12,12,12,
12,9,9,9,18,18,1,4,12,12,12,12,12,12,9,1,1,1,4,4,12,1,1,1,2,2,4,4,1,1,1,2,2,
1],[1,9,12,4,9,18,18,4,12,12,9,9,9,1,12,9,1,4,1,2,2,1,1,1,1],[1,9,12,4,9,18,
18,4,12,12,9,9,9,1,12,9,1,4,1,2,2,1,1,1,1],[1,10,9,4,9,9,18,27,4,12,12,9,9,9,
18,18,1,12,9,1,1,1,1,1,1,2,2,1,1,1,2,2,1],[1,10,9,4,9,9,9,4,12,12,9,9,9,1,12,
9,1,1,1,1,1,1,1,1,1,1],[1,35,5,20,10,40,20,16,5,20,10,20,40,16,1,5,5,10,10,5,
1,1],[1,21,28,14,21,28,8,21,14,8,14,1],[1,21,28,14,21,28,8,21,14,8,14,1],[1,
27,64,9,20,6,40,12,3,30,6,12,12,24,48,32,64,2,1,2,3,3,6,6,12,3,6,6,8,4,8,1,
1],[1,16,27,16,5,16,6,32,24,48,12,16,16,16,3,10,18,6,6,6,12,12,18,24,24,36,8,
4,16,8,1,3,6,3,6,12,18,12,12,6,4,4,8,4,8,3,4,3,3,6,1,4,3,1,1,1,1],[1,12,12,3,
16,16,1,6,6,6,6,6,24,48,16,16,16,3,4,3,3,3,3,12,6,6,6,12,6,6,6,12,12,12,12,4,
16,1,3,6,3,3,3,6,6,6,6,6,6,6,6,12,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,10,10,
15,16,10,5,15,15,15,15,30,40,6,10,10,10,10,10,10,10,5,15,15,15,15,15,15,6,6,6,
10,5,10,10,10,10,10,10,15,6,6,6,5,5,5,10,6,5,1,1,1,1,1],[1,8,8,27,16,9,20,6,
40,4,20,20,12,4,24,32,3,4,4,6,30,2,6,2,2,6,2,12,12,4,4,12,4,4,4,12,12,20,4,4,
8,8,8,24,8,8,8,24,2,1,2,3,3,2,2,2,6,2,2,2,2,6,2,6,6,4,4,4,4,12,4,4,4,4,4,4,4,
4,4,12,4,12,4,4,4,12,12,4,4,4,4,12,12,4,8,8,8,1,1,1,1,1,3,3,4,6,2,2,6,2,6,2,2,
2,2,2,2,2,2,2,2,6,2,4,4,4,4,4,4,4,4,4,4,4,1,1,1,1,3,1,3,2,2,2,2,2,2,2,2,2,2,1,
1,1,1,1,1,1,1],[1,12,10,9,12,4,9,9,18,18,27,18,48,4,4,4,12,12,12,12,9,9,9,9,9,
18,9,9,18,18,18,1,4,12,12,12,12,12,12,9,9,9,9,9,9,9,1,1,1,4,4,12,9,1,1,1,2,2,
2,2,4,4,1,1,1,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,35,5,20,10,40,40,20,16,5,20,
10,20,20,20,40,16,1,5,10,5,10,10,10,16,5,5,5,5,1,1,1],[1,21,28,28,14,21,42,28,
28,28,8,21,21,21,14,28,8,21,8,14,8,1,1],[1,22,21,28,14,21,21,63,28,28,28,8,14,
21,21,21,42,14,28,8,21,8,14,14,14,8,14,1,1],[1,28,21,28,14,21,42,28,28,28,8,
21,21,21,14,28,8,21,8,14,8,1,1],[1,28,21,28,14,42,21,28,28,28,8,21,21,21,14,
28,8,21,8,14,8,1,1],[1,45,40,30,45,36,120,45,10,36,30,10,30,10,12,1],[1,45,40,
30,45,36,120,45,10,36,30,10,30,10,12,1],[1,24,27,64,9,20,6,40,12,12,12,64,3,
30,6,6,6,12,12,12,12,12,12,12,24,24,24,48,32,64,2,1,2,3,3,6,6,6,6,12,12,12,12,
12,12,12,24,24,16,3,3,3,6,6,6,6,6,12,12,8,4,8,1,3,3,6,6,4,8,3,1,1],[1,27,16,
64,9,20,6,40,12,24,64,3,4,6,30,6,6,12,12,12,12,24,48,32,64,2,1,2,3,3,6,6,6,6,
12,12,12,12,12,16,1,3,3,6,6,6,6,8,4,8,1,3,3,4,1,1,1],[1,24,27,64,9,20,6,40,60,
60,12,64,3,12,30,6,6,6,12,12,12,36,60,12,24,72,48,32,64,2,1,2,3,3,6,6,6,6,12,
36,12,12,36,12,12,32,48,3,3,3,12,6,6,6,6,6,12,8,4,8,1,3,3,6,6,8,4,3,1,1],[1,
22,28,21,28,28,14,21,42,21,63,42,112,28,28,28,28,28,28,28,8,14,21,21,21,21,21,
21,21,42,42,42,28,14,28,28,28,28,28,28,8,8,8,21,21,21,21,21,21,21,8,14,14,14,
28,8,21,8,8,8,14,8,1,1,1,1,1],[1,30,45,40,30,45,45,135,36,40,120,120,30,45,45,
45,90,10,36,30,120,45,10,40,36,30,30,30,10,20,30,12,10,12,1,1],[1,45,36,40,30,
45,90,36,120,45,45,45,10,36,36,36,30,45,10,36,30,10,12,10,1,1],[1,45,40,30,45,
90,36,120,45,45,45,10,36,30,45,10,36,30,10,20,12,10,1,1],[1,45,40,30,45,90,36,
120,45,45,45,10,36,30,45,10,36,30,10,10,10,12,10,1,1],[1,24,24,27,16,64,9,20,
6,40,12,60,60,12,12,24,96,64,64,64,3,12,4,6,30,6,6,6,6,6,6,12,12,12,12,12,12,
12,12,36,12,60,12,12,24,24,24,24,24,24,24,72,48,32,64,64,2,1,2,3,3,6,6,6,6,6,
6,6,6,6,6,6,6,12,12,12,12,36,12,12,12,12,12,12,12,12,12,36,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,24,24,24,32,48,16,16,1,3,3,3,3,3,3,12,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,8,4,8,16,1,3,3,3,3,3,3,6,
6,6,6,6,6,6,6,6,6,8,4,4,4,8,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,75,160,25,60,30,
120,60,96,160,15,90,30,60,60,120,96,160,120,240,6,5,10,15,15,30,30,60,40,80,
15,30,30,30,20,40,16,16,32,5,6,10,6,5,1],[1,30,45,36,40,30,45,45,135,90,90,36,
40,120,120,30,45,45,45,45,45,45,45,90,90,90,10,36,36,36,30,120,45,45,45,45,45,
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],[
1,40,75,160,25,60,30,120,180,180,60,96,160,160,160,15,40,90,30,30,30,60,60,60,
120,180,60,120,240,96,160,120,160,240,6,5,10,15,15,30,30,30,30,60,120,60,60,
120,60,60,96,120,40,160,40,80,15,15,15,40,30,30,30,30,30,60,30,20,40,40,16,16,
32,5,15,15,30,30,6,30,10,10,20,16,16,15,6,5,10,6,5,1,1],[1,315,1120,105,420,
630,840,1260,2016,3360,960,315,630,630,1260,1260,2520,280,2016,1680,1680,3360,
42,105,210,315,315,630,630,1260,280,960,1680,3360,315,630,630,280,560,420,420,
840,336,672,1344,105,280,252,420,252,120,240,105,56,112,42,1],[1,120,315,1120,
105,420,630,840,1260,1260,1260,2016,1120,3360,3360,960,315,420,630,630,630,
630,1260,1260,1260,1260,1260,1260,2520,2520,280,2016,1680,1680,3360,3360,960,
42,105,210,315,315,630,630,630,630,1260,1260,1260,1260,1260,1260,1260,280,
1120,2016,960,1680,1680,1680,1680,3360,315,315,315,420,630,630,630,630,630,
1260,280,560,560,960,420,420,840,1680,336,672,1344,105,315,315,630,630,280,
280,280,252,420,420,420,420,336,672,315,280,252,120,240,105,420,252,120,56,
112,105,56,42,42,1,1],[1,315,336,1120,105,420,630,840,1260,2520,2016,1120,
3360,3360,960,315,420,630,630,630,630,1260,1260,1260,1260,2520,280,2016,2016,
2016,1680,1680,3360,3360,960,42,105,210,315,315,630,630,630,630,1260,1260,
1260,1260,1260,280,1120,2016,960,1680,1680,3360,105,315,315,630,630,630,630,
280,560,560,960,420,420,840,336,672,1344,105,315,315,280,280,280,252,420,420,
336,105,280,252,120,240,105,120,56,112,105,56,42,1,1],[1,280,315,1120,105,420,
630,840,1260,1260,1260,2016,1120,3360,3360,960,315,630,630,630,630,1260,1260,
1260,1260,1260,1260,1260,2520,2520,2520,280,2016,1680,1680,3360,3360,960,42,
105,210,315,315,630,630,630,630,1260,1260,1260,1260,1260,1260,1260,2520,2520,
280,280,280,2016,960,1680,1680,3360,315,315,315,630,630,630,630,630,1260,1260,
280,280,280,560,560,960,420,420,840,336,672,1344,105,315,315,630,630,280,280,
280,560,560,252,420,420,840,336,315,280,252,120,240,105,120,240,56,112,105,56,
112,42,1,1],[1,120,280,315,336,1120,105,420,630,840,1260,1260,1260,1260,1260,
2520,3360,2016,1120,1120,1120,3360,3360,3360,3360,960,315,420,420,630,630,630,
630,630,630,630,630,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,
1260,1260,2520,2520,2520,2520,2520,2520,2520,2520,280,2016,2016,2016,1120,
1680,1680,3360,3360,3360,3360,3360,3360,3360,960,960,960,42,105,210,315,315,
630,630,630,630,630,630,630,630,630,630,630,630,1260,1260,1260,1260,1260,1260,
1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,
1260,1260,1260,1260,1260,1260,1260,1260,2520,2520,2520,280,280,280,1120,1120,
2016,2016,2016,960,1680,1680,1680,1680,1680,1680,3360,3360,960,105,315,315,
315,315,315,315,420,630,630,630,630,630,630,630,630,630,630,630,630,630,630,
630,630,630,630,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,280,
280,280,560,560,560,560,1120,1120,2016,960,960,960,420,420,840,1680,1680,336,
672,1344,105,315,315,315,315,315,315,630,630,630,630,630,630,630,630,630,630,
280,280,280,280,280,280,280,560,560,560,560,252,960,420,420,420,420,420,420,
840,336,336,336,672,105,315,315,315,315,315,315,280,280,280,280,280,280,280,
252,120,240,105,420,420,336,315,280,252,120,120,120,240,56,112,105,105,105,
120,56,56,56,112,105,42,56,42,1,1,1,1,1]],
[1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,5,6,6,6,6,6,6,6,7,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,9,10,10,10,12,12,12,12,12,12,12,12,12,
12,14,14,14,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,18,18,18,18,18,20,20,20,21,24,24,24,24,24,24,24,24,28,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,36,36,36,36,36,36,36,36,36,40,42,42,42,48,48,48,48,48,60,60,60,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,72,72,72,72,72,72,72,72,72,72,
72,80,84,96,96,96,96,96,96,96,120,120,120,120,128,128,128,128,128,128,128,144,
144,144,144,144,144,144,160,168,168,192,192,192,240,256,288,320,336,336,336,
336,360,360,384,384,384,672,720,720,720,720,768,960,1440,1920,20160,40320,
40320,40320,80640],
[288,275,264,263,262,226,280,260,243,232,215,208,208,211,215,155,141,189,226,
226,226,141,141,141,141,230,263,260,261,243,244,243,247,243,243,243,243,215,
208,215,215,208,208,211,211,214,215,208,208,215,146,155,155,178,155,155,178,
145,264,189,189,189,226,196,197,141,140,141,141,141,141,141,230,230,230,283,
280,272,263,263,243,243,243,243,243,243,243,243,244,243,247,243,215,208,211,
215,214,215,208,215,208,215,215,215,208,215,214,215,201,208,208,208,208,208,
215,208,208,208,215,215,211,178,178,155,264,264,264,226,226,189,189,189,230,
197,197,196,196,197,196,140,141,230,280,263,263,263,263,263,263,260,243,243,
243,243,243,247,243,243,243,243,243,247,243,244,243,243,244,243,208,215,211,
215,208,208,214,215,208,211,215,264,264,264,251,251,254,254,226,226,189,230,
230,230,260,261,237,196,197,262,241,200,280,263,263,263,263,263,263,243,244,
247,247,243,243,244,243,243,243,264,264,264,264,264,264,264,254,251,254,251,
265,230,260,260,261,260,261,261,237,262,262,262,241,280,263,263,263,263,263,
263,264,264,264,264,264,264,264,265,275,269,280,260,261,262,263,264,265,275,
275,275,269,282,279,280,280,280,275,282,282,282,279,280,283,282,283,288,288,
288,288,288],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,6,6,1,1,6,6,1,1,1,1,1,1,1,4,1,4,4,1,4,4,
4,4,1,4,1,4,4,1,4,4,1,1,1,1,4,4,1,4,1,4,1,18,1,18,6,7,8,6,10,6,6,6,1,6,26,1,
26,1,1,1,4,4,4,9,9,4,4,4,4,9,4,9,4,1,4,4,4,4,4,4,9,9,4,9,1,9,4,4,4,4,4,9,9,9,
9,9,9,4,4,1,9,9,4,14,14,4,1,59,59,6,6,18,18,18,26,65,8,64,64,65,7,67,6,26,7,7,
4,4,7,4,7,8,9,4,9,9,4,7,4,9,9,9,9,7,9,7,9,9,7,7,9,9,14,9,9,9,8,9,9,14,9,59,59,
59,59,59,59,59,59,6,18,26,26,26,76,77,78,64,65,198,199,200,7,27,27,27,27,27,
27,9,31,33,33,27,9,31,9,27,27,126,59,126,59,126,126,59,126,59,59,126,76,26,
193,193,77,76,194,194,195,198,198,198,199,77,27,79,80,79,80,77,182,182,126,
182,182,126,59,229,257,258,201,193,194,198,149,182,229,257,257,257,258,270,
271,259,201,259,257,270,270,270,271,259,281,270,281,284,284,284,284,284],
[( 1,28)( 2,31)( 3,32)( 4, 9)( 5,11)( 6,14)( 7,20)( 8,26)(10,15)(12,33)(13,34)
(16,21)(17,35)(18,19)(22,23)(24,36)(25,37)(27,38)(29,39)(30,40)(41,42),
( 1,28,41, 8,20,17)( 2, 4,30,37,36,31)( 3,33)( 5,12, 6,40,27,23)
( 7,25,15, 9,38,13)(10,14)(11,39,24,22,19,35)(16,29)(18,21,26,34,32,42)],
[[[[]]],[[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,4,1,2,1,3,2,2,1,1,1]]],[[[2,
-3]]],[[[1,1,2,1],[2,1,3,2,1,1,2,1,1,1]]],[[[1,1]]],[[[2,2]]],[[[1,1,2,1],[2,
1,1,1],[4,1,2,-1,3,-2,2,1,4,1,3,-1,4,1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,2,1,3,
1]]],[[[1,1,2,1],[1,1,2,-1],[2,1,1,1,3,-2,2,-1,3,-1,2,1,4,-2]],[[1,1,2,1],[2,
1,1,1],[4,1,2,-1,3,-2,2,1,4,1,3,-1,4,1]]],[[[1,1,2,-1,1,1,2,-1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,3,-1,2,-2,1,1,2,-1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-4,
3,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,2,2,-1,3,-2]],[[1,1,2,1],[2,1,1,
1],[4,2,3,-1,4,-1,3,-2,2,-1]]],[[[2,1,1,1],[2,1,3,-1,1,1,2,1],[4,2,3,1]]],[[[
1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,2,2,1,4,-1,5,1,3,1,4,-1,2,-1,4,1]],[[1,1,
2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,1,2,1,3,2,4,1,2,1,1,1]]],[[[1,1,2,1],[3,1,2,
1],[3,1,4,1,3,1,4,1]]],[[[1,1,2,1],[3,1,2,1,3,1,2,2,3,1,1,1,2,-1]]],[[[1,1,2,
1],[2,1,1,1],[3,1,2,1,3,1,4,-2,3,-1]],[[1,1,2,1],[2,2,3,3,1,1,2,-1]]],[[[2,1,
1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[2,1,1,1,2,-3,1,1,2,-1]]],[[[2,1,1,1,2,
2,1,1,2,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,1,2,1,3,2,4,1,2,1,1,1]],[[
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1],[3,1,2,1,3,1,4,-2,3,-1]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]]],[[[2,1]]],[[[
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1]],[[1,1,2,1],[2,2,3,3,1,1,2,-1]]],[[[1,1,2,1],[3,2,2,2,1,1,3,-1]],[[2,1,1,1,
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1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,2,1,4,1,3,-1,4,1]],[[1,1,2,1,1,1,2,
1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,2,-1,3,1,4,1,2,1,3,1,4,-1,5,1]],[[
1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,3,2,2,1,4,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,
1],[2,1,4,-1,3,-1,4,1,2,1,3,2,4,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,
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1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,2,1,4,1,3,-1,4,1]]],[[[1,1,2,1],[2,2,1,1,3,
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1],[2,1,1,1],[4,1,2,2,3,3,4,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,
4,2,3,-1,2,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[5,1,3,-1,4,1,3,1,5,-1,4,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1],[3,1,5,1,4,-1,3,-1,5,1]]],[[[1,1,2,1],[2,
1,1,1],[3,1,2,1,4,-4,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1],[4,1,5,-2,4,
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-1,3,2]],[[2,1,1,1],[1,1,2,-2,1,1,2,1],[4,1,3,-1,4,1,3,1]]],[[[1,1,2,1],[3,2,
2,1,3,1]]],[[[1,1,2,1],[1,1,2,-2,3,1,2,2,3,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[
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-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[3,1,5,-1,4,-1,5,1,3,-1,4,1]]],[[[1,1,2,
1],[3,1,2,2,3,1,2,2,1,1]],[[2,-1,1,1,2,1]]],[[[2,1,1,1],[1,1,2,-1,1,1,2,2,3,
2]],[[1,1,2,1],[3,1,1,1,2,1,1,1,2,1,3,1]]],[[[1,1,2,1],[2,1,1,1,2,-1],[3,1,4,
1,3,-1,4,1]],[[1,1,2,1],[3,2,2,2,1,1,3,-1]]],[[[1,1,2,1],[2,1,3,2,1,1,2,1,1,
1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,2,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,
3,-1,2,1,3,2,4,1]],[[2,1,1,1,2,-3,1,1],[3,2,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[
4,1,2,1,4,1,3,-1,4,2,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-1,3,1,4,
2]]],[[[2,1,1,1],[1,1,2,-1,1,1,2,2,3,2]],[[2,1,1,1,2,-3,1,1,2,-1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,2,1,4,-1,3,1,1,1,2,-1,3,1,2,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,
-1,3,-1,4,1,2,1,4,1,3,-1]]],[[[2,1,1,1],[2,2,3,-1,1,1,2,1,3,-1,2,-1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-4,2,-1,3,
-1]],[[1,1,2,1],[1,1,2,-1],[2,1,1,1,3,-1,2,-2,4,2,3,1]]],[[[1,1,2,1],[3,2,1,1,
2,-1,3,-1,2,-1]]],[[[2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,4,-1,2,-1,3,2,
2,1,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,1,4,-2,3,-2]]],[[[1,1,2,1],[2,1,1,
1],[1,1,2,-1,3,2,2,1,4,1,3,-1,4,1]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]],[[1,1,2,
1],[3,2,2,1,1,1,2,-1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,2,3,1,2,1,
3,1]],[[1,1,2,1],[2,1,1,1],[4,3,3,-2,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,-1,
3,-2,2,1,4,1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1],[4,1,5,1,4,1,5,
-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,1,3,-1,2,-2,4,-1]],[[1,1,2,1],[2,-1,1,
1,2,-1,3,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,1]],[[2,1,1,1,2,-3,1,
1,2,-1]]],[[[2,2,1,1,2,-1,1,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,1,2,1,
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1,2,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,2,4,-1]],[[1,1,2,-2,1,1,2,2,1,
1]]],[[[2,1,1,1],[3,1,2,2,1,1,2,1,3,2]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2]]],[[[1,
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1,1,2,-2,3,-3,2,-1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,2,1,3,1]]],[[[1,1,2,1],[3,
2],[4,-2,2,1,1,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1]]],[[[1,1,2,1],[2,2,3,3,
1,1,2,-1]],[[1,1,2,1],[3,2,2,2,1,1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,1,
3,1,4,-1,2,-1]],[[1,1,2,1],[3,1,2,1,3,3,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,
3,-1,4,2,2,-1,3,-1]],[[1,1,2,1],[2,2,1,1,3,2,2,2]]],[[[1,1,2,1],[2,2,3,3,1,1,
2,-1]],[[1,1,2,1],[3,1,2,2,3,1,2,1,3,1]]],[[[2,1,1,1],[1,1,2,-1,1,1,2,2,3,
2]],[[2,-3]]],[[[2,2,1,1,2,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-2,3,
-1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,
1,1,2,-2,3,-2,2,-2]],[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,3,4,-1,1,1,2,-1]],[[1,1,
2,1],[2,1,1,1],[2,1,4,1,3,-1,2,-2,1,1,2,-1,3,2,2,1,4,-1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[5,1,4,-1,3,-2,2,-1,5,1,3,1,1,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,
2],[5,1,4,-2,5,-1]],[[1,1,2,1],[2,1,1,1,2,-1],[4,1,3,-1,4,1,3,1]]],[[[1,1,2,
1],[2,1,1,1],[3,1,2,1,3,1,4,1,3,1,4,-1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,
3,1,4,-1,2,-1,3,2,2,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,2,4,1,5,-1,3,
1,4,-2,5,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-4,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,
3,-1,2,-2,1,1,2,-1,3,2,4,1]]],[[[2,1,1,1],[1,1,2,-1],[4,1,2,-1,1,1,3,1,4,-1,2,
2,3,-1,4,1]],[[1,1,2,1,1,1,2,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,2,1,4,1,
3,-1,4,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,2,2,1,1,2,2,3,1]],[[1,1,2,1],[3,1,1,1,2,
1,1,1,2,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,2,3,-1,4,-1,3,-2,2,-1]],[[1,1,2,1],[
2,1,1,1],[4,1,2,-1,3,-2,4,2]]],[[[2,-3,1,1,2,-1,1,1,2,2,1,1]],[[2,1,1,1,2,-3,
1,1,2,-1]]],[[[2,1,1,1],[3,1,2,2,3,-1,2,-1,1,1,2,-1]],[[2,1,1,1],[3,1,1,1,2,1,
3,-1,2,-1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[5,1,3,1,2,2,4,-1,5,1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,1,4,
1,2,1,4,-1,3,1]],[[1,1,2,1],[1,1,2,-1],[2,1,3,2,1,1,2,-1,4,2,2,-1,3,1]]],[[[1,
1,2,1],[2,1,1,1],[3,1,4,2,3,-1,2,1,1,1]],[[1,1,2,1],[2,2,3,3,1,1,2,-1]]],[[[1,
1,2,1],[1,1,2,-2,3,1,2,2,3,1,2,1,1,1]],[[1,1,2,1],[2,1,3,2,1,1,2,1,1,1]],[[1,
1,2,1],[2,1,1,1],[2,1,4,-1,3,1,2,2,3,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[4,2,2,
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1],[2,1,1,1],[4,1,2,-1,3,-2,2,1,4,1,3,-1,4,1]],[[2,1,1,1],[2,1,3,-1,1,1,2,1],[
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1,1],[1,1,3,-1,4,1,2,1,3,2,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[5,1,3,-1,4,
1,3,1,5,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,2]]],[[[1,1,2,1],[2,1,
1,1],[1,1,2,-1,3,2,4,2,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,1,4,
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1,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,-1,2,1,3,2,4,1]]],[[[1,1,2,1],[2,1,
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4,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,2],[6,1,4,-1,5,2,4,-1,6,-1]],[[1,
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2,1,4,-1,3,1,1,1,2,-1,3,1,2,1]]],[[[1,1,2,1],[3,1,2,2,3,1,2,2,1,1]],[[2,1,1,1,
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3,-1,4,2,2,-1,3,-2]],[[2,1,1,1],[2,1,3,-1,1,1,2,1],[4,1,3,1,4,1]],[[1,1,2,1],[
2,1,1,1],[4,1,2,-1,3,-2,2,1,4,1,3,-1,4,1]]],[[[1,1,2,1],[3,1,2,2,3,1,2,2,1,
1]],[[2,1,1,1,2,-3,1,1,2,-1]]],[[[2,1,1,1],[1,1,2,-1,1,1,2,2,3,2]],[[1,1,2,
1],[2,1,1,1,3,-1,2,-1,3,1,2,2]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,3,-1,2,1,1,
1]],[[2,1,1,1,2,1],[3,1,1,1,2,-1,3,-1]]],[[[1,1,2,1],[2,2,1,1,3,2,2,2]],[[2,1,
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1,1,2,-1,1,1,2,2,3,2]],[[2,1,1,1],[3,1,2,-3,3,-1,1,1,2,1]]],[[[1,1,2,1],[2,1,
1,1],[1,1,3,-1,4,1,2,1,3,2,4,1]],[[1,1,2,1],[1,1,2,-2,3,1,1,1,2,-1,3,1,2,1,3,
1]]],[[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,-1,3,-2,2,-1,4,-1]],[[2,-3]],[[1,1,2,
1],[2,1,1,1],[2,1,4,1],[3,1,5,-1,4,-1,5,1,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[
2,1,4,-1,3,-1,4,2,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,2,1,4,1,3,
-1,4,1]]],[[[1,1,2,1],[2,2,1,1,3,2,2,2]],[[1,1,2,1],[1,1,2,-1,3,2,2,1,3,
1]]],[[[2,1,1,1],[1,1,2,-1,1,1,2,2,3,2]],[[1,1,2,1],[2,2,3,3,1,1,2,-1]]],[[[1,
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1,1,1,2,1,1,1,2,1,3,1]],[[1,1,2,1],[3,2,2,1,3,1]]],[[[2,1,1,1],[3,1,2,2,3,-1,
2,-1,1,1,2,-1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,2,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[
2,1,4,-1,3,-1,4,2,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,2,2,2,4,-1,3,
1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,1,4,1,2,1,4,-1,3,1]],[[1,1,2,1],[2,
1,1,1],[4,3,3,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,1]]],[[[1,1,
2,1],[2,1,1,1],[2,1,4,-1],[3,1,5,1,4,-1,3,-1,5,1]],[[1,1,2,1],[2,1,1,1],[4,1,
2,-1,3,-2,4,2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,3,2,4,-1]],[[1,1,2,1],[
3,1,1,1,2,-1,1,1,2,-2,3,1]]],[[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]],[[1,1,2,1],[
1,1,2,-2],[4,1,3,1,4,1,3,1]]],[[[2,1,1,1],[2,2,3,-1,1,1,2,1,3,-1,2,-1]],[[1,1,
2,1],[3,1,2,1,1,1,2,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1],[4,1,5,1,4,
-1,5,-1]],[[1,1,2,1],[2,-1,3,1,2,2,3,1]],[[1,1,2,1],[3,2,2,2,1,1,3,-1]]],[[[1,
1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,1]],[[1,1,2,1],[2,1,3,2,1,1,2,1,1,
1]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,2,1,3,1]],[[2,1,1,1,2,-3,1,1,2,-1]]],[[[2,1,
1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[2,1,1,1,2,-3,1,1,2,-1]],[[1,1,2,1],[3,
1,1,1,2,1,1,1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,1,2,1,3,
1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,2,3,-1,4,1,2,-1]]],[[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[3,2],[6,1,4,-1,5,2,4,-1,6,-1]],[[1,1,2,1],[2,2,3,3,1,1,2,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,2,2,-1,3,-2]]],[[[1,1,2,1],[2,1,1,
1],[2,1,4,-1,3,-1,4,1,3,2,2,1,4,-1]],[[1,1,2,1],[2,-1,3,1,2,2,3,1]],[[1,1,2,
1],[1,1,2,-2,3,1,2,2,3,1,2,1,1,1]]],[[[2,2,1,1,2,-1,1,1,2,-2,1,1,2,1]],[[1,1,
2,1],[1,1,2,-1,3,1,1,1,3,-1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,4,
2]],[[1,1,2,-2],[3,1,1,1,2,-2,1,1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,
2,-1,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1,2,-1,3,-3,2,-1,3,-1]]],[[[1,1,2,1],[3,
1,2,2,3,1,2,2,1,1]],[[1,1,2,1],[2,2,3,3,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,
2,2,-1,3,-1,4,1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,3,-1,4,1,2,1,3,2,4,
1]]],[[[2,1,1,1],[2,1,3,-1,1,1,2,2,3,2]],[[2,-2]]],[[[1,1,2,1],[2,1,1,1],[4,2,
2,-1,3,-1,2,1,4,1,3,-1]],[[1,1,2,1],[3,2,1,1,2,-1,3,1,2,2]]],[[[1,1,2,1],[3,1,
1,1,2,-2,3,1,2,1]],[[1,1,2,1],[2,1,3,2,1,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[
2,1,3,2],[4,1,5,-1,4,-1,5,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,3,2,2,1,4,
-1]]],[[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,-1,3,-1]],[[2,-3]]],[[[1,1,2,1],[2,1,
3,2,1,1,2,1,1,1]],[[1,1,2,1,1,1,2,1]]],[[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,
3,1]],[[2,1,1,1],[1,1,2,-2,3,-3,2,-1]]],[[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,-1,
3,-1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,2,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,1,1,
4,1,2,1,4,-1,3,1]],[[1,1,2,1],[3,1,2,1,3,3,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,
1,3,-1,2,-1,3,2,4,-1]]],[[[1,1,2,-1,1,1,2,1,1,1]],[[1,1,2,-3,1,1]]],[[[1,1,2,
1],[1,1,2,-1,3,1,1,1,3,-1,2,1,1,1]],[[2,1,1,1],[3,1,1,1,2,1,3,-1,2,-1]],[[1,1,
2,1],[3,1,1,1,2,1,1,1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,2,3,1,2,
1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,1,2,2,3,1]]],[[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[3,2],[6,1,4,-1,5,2,4,-1,6,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,
3,-1,4,1,2,1,4,1,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,1,1,2,-1,3,1,2,
1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,1,1,1,4,1,2,2]]],[[[1,1,2,1],[2,1,1,1],[
4,1,2,1,4,1,3,-1,4,1,2,1,3,2]],[[1,1,2,-3,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,
-1,3,1,2,2,3,1,4,-1]],[[1,1,2,1],[2,1,1,1,2,-1],[4,1,3,-1,4,1,3,1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,2,-1,3,-2,2,1,4,1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,2,
2,2,4,-1,3,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[5,1,3,-1,4,1,3,1,5,-1,4,
-1]],[[1,1,2,1],[3,2,2,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[5,1,3,-1,4,1,
3,1,5,-1,4,-1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,
2,2,1],[5,1,4,-1,5,-1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,2,1,4,1,3,
-1,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,1,3,1,2,1,3,1]],[[1,1,2,1],[3,
1,1,1,2,1,1,1,2,1,3,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,3,-1,2,1,1,1]],[[1,1,2,
1],[3,2,2,1,3,1]],[[2,1,1,1],[3,1,1,1,2,1,3,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[
2,1,4,1],[5,1,3,-1,4,1,3,1,5,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,
2]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1],[5,1,3,1,4,1,5,1,3,-1]]],[[[2,1,1,1],[1,1,
2,-1,1,1,2,2,3,2]],[[1,1,2,1,1,1,2,1]]],[[[2,1,1,1],[3,1,2,2,3,-1,2,-1,1,1,2,
-1]],[[1,1,2,1],[3,2,2,1,3,1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2]]],[[[1,1,2,
1],[2,2,1,1,3,2,2,2]],[[2,1,1,1,2,-3,1,1,2,-1]],[[2,1,1,1],[1,1,2,-1,3,-1,1,1,
2,1,1,1,3,1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,
2,-1,3,-2,2,1,4,1,3,-1,4,1]],[[2,1,1,1],[2,1,3,-1,1,1,2,1],[3,1,4,1,3,1,4,
-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-4,3,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[
3,1,5,-1,4,-1,5,1,3,-1,4,1]],[[2,1,1,1],[2,2,3,2,2,-1,1,1]],[[1,1,2,1],[2,1,1,
1],[4,1,2,1,3,2,4,1,2,-2,3,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1],[3,1,5,1,4,
-1,3,-1,5,1]],[[2,1,1,1],[3,1,1,1,2,1,3,-1,2,-1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,
3,-2]]],[[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,-1,3,-2,2,-1,4,-1]],[[2,1,1,1],[2,2,
3,2,2,-1,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[3,1,5,-1,4,-1,5,1,3,-1,4,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[5,1,3,-1,4,1,3,1,5,-1,4,-1]],[[1,1,2,
1],[2,1,1,1],[4,2,3,-1,4,-1,3,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,2,
1,4,1,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,1,2,2,3,1]],[[1,1,2,
1],[2,1,1,1],[4,1,3,2,2,2,4,-1,3,1]]],[[[2,1,1,1],[2,1,1,1,2,1],[4,1,3,2,4,
-1]],[[1,1,2,-1],[3,1,2,-1,1,1,2,-1,3,1,1,1,2,1]]],[[[2,1,1,1],[2,1,1,1,2,1],[
4,1,3,2,4,-1]],[[2,1,1,1],[2,2,3,2,2,-1,1,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,
2],[5,1,4,-2,5,-1]],[[1,1,2,1],[2,1,1,1,2,-1,3,-3,2,-1,3,-1]]],[[[1,1,2,1],[3,
1,2,2,3,1,2,2,1,1]],[[2,1,1,1,2,-3,1,1,2,-1]],[[2,-1,1,1,2,1]]],[[[1,1,2,1],[
2,1,1,1],[2,1,4,1],[5,1,3,-1,4,1,3,1,5,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,
-1,3,-2,4,2]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,4,-1,3,-2,2,-1]]],[[[1,1,2,1],[2,
1,1,1],[2,1,4,-1,3,-1,4,2,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,2,
1,4,1,3,-1,4,1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,2,1,3,1]]],[[[1,1,2,1],[3,1,2,1,
1,1,2,-1,3,1,2,1]],[[1,1,2,-2,1,1,2,2,1,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,
-1],[3,1,5,1,4,-1,3,-1,5,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,2]],[[1,1,
2,1],[2,-1,1,1,2,-1,3,2]]],[[[2,1,1,1],[1,1,2,-1,1,1,2,2,3,2]],[[2,1,1,1],[3,
1,2,-3,3,-1,1,1,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1]]],[[[1,1,2,1],[2,1,1,
1],[3,1,4,-1,3,1,2,1,4,1]],[[2,1,1,1,2,-3,1,1,2,-1]]],[[[2,-3,1,1,2,-1,1,1,2,
2,1,1]],[[2,1,1,1,2,-3,1,1,2,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,3,-1,2,1,1,
1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,1,4,2]],[[2,-3]],[[2,1,1,1],[3,1,2,
2,3,-1,2,-1,1,1,2,-1]]],[[[1,1,2,1],[2,2,1,1,3,2,2,2]],[[1,1,2,1],[1,1,2,-1,3,
2,2,1,3,1]],[[1,1,2,1],[2,2,3,3,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1],[
3,1,5,1,4,-1,3,-1,5,1]],[[2,1,1,1],[2,1,3,-1,1,1,2,1],[3,1,4,1,3,1,4,-1]]],[[[
1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,2,3,1,2,1,3,1]],[[2,1,1,1],[1,1,2,1,3,-1,
2,-1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,2,2,2,4,-1,3,1]]],[[[1,1,2,1],[2,1,1,
1],[4,2,3,-1,4,-1,3,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,2]],[[1,1,
2,1],[1,1,2,-1,3,1,1,1,3,-1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,
2,2,1,4,-1,3,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1],[4,1,5,1,4,1,5,-1]],[[1,1,2,
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4,1,2,-1,3,-2,4,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,1,2,-2,3,-1]],[[1,
1,2,1],[2,1,1,1],[1,1,3,-1,4,1,2,1,3,2,4,1]]],[[[1,1,2,1],[1,1,2,-2,3,1,2,2,3,
1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,2,2,4,-1]],[[1,1,2,1],[2,-1,3,
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1,3,1,4,1]]],[[[1,1,2,1],[2,1,3,2,2,1,1,1,2,-2]],[[2,1,1,1,2,-3,1,1,2,
-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,4,2]],[[2,1,1,1],[1,1,2,-2,3,-1,1,1,2,1,
3,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,3,2,2,1,4,-1]],[[1,1,2,1],[3,1,1,
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1],[3,2,2,2,3,1,1,1,2,-1]]],[[[2,1,1,1],[2,1,3,-1,1,1,2,2,3,2]],[[2,-1]]],[[[
1,1,2,1],[3,1,1,1,2,1,1,1,3,-2]],[[2,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,
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1,1,2,1]]],[[[2,1,1,1],[1,1,2,-2,3,-3,2,-1]],[[1,1,2,1],[2,1,3,1],[4,1,3,2,4,
1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,1]],[[1,1,2,1],[3,1,2,1,3,1,2,
1,1,1,2,-1,3,-1]],[[2,-3]]],[[[1,1,2,1],[2,1,1,1,2,-1],[4,1,3,-1,4,1,3,1]],[[
1,1,2,1],[1,1,2,-1,3,3,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1,3,-2,2,-2,3,-1]],[[2,
1,1,1],[2,1,3,-1,1,1,2,2,3,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,1,3,-1,
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1,1,1,2,-1,3,-1,4,-1]],[[1,1,2,1],[1,1,3,-1,2,1,1,1,2,1,3,1]]],[[[1,1,2,1],[2,
1,1,1],[4,1,2,-1,3,-2,2,1,4,1,3,-1,4,1]],[[2,1,1,1],[2,1,3,-1,1,1,2,1],[3,1,4,
1,3,1,4,-1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,
4,-4,3,-1]]],[[[2,1,1,1],[1,1,2,-2,1,1,2,1,3,2]],[[1,1,2,1],[2,2,3,3,1,1,2,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,2,3,1,2,1,3,1]],[[1,1,2,1],[2,1,
1,1],[2,1,4,-1,3,1,4,1,2,2,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,2,1,4,1,
3,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,2,3,1,2,1,3,1]],[[1,1,2,
1],[2,1,1,1],[4,1,3,2,2,2,4,-1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,2,1,
4,1,3,-1,4,1]]],[[[2,1,1,1],[2,2,3,-1,1,1,2,1,3,-1,2,-1]],[[1,1,2,1],[3,1,2,1,
1,1,2,1,3,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,
4,-1],[3,1,5,1,4,-1,3,-1,5,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,1,2,1,4,-1,3,
-1,4,1]]],[[[2,-3,1,1,2,-1,1,1,2,2,1,1]],[[1,1,2,1],[2,1,3,2,1,1,2,1,1,
1]]],[[[1,1,2,1],[2,1,1,1],[4,2,3,-1,4,-1,3,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[4,
1,2,-1,3,-2,4,2]],[[1,1,2,1],[2,-1,1,1,2,-1,3,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,
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2]]],[[[1,1,2,1],[1,1,2,-2],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1,3,-2,2,1,3,
1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,1]],[[2,1,1,1,2,-3,1,1,2,
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-1,1,1,2,1],[3,1,4,-2,3,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1],[3,1,4,2,3,
1]],[[1,1,2,1],[2,1,3,2],[4,1,2,1,1,1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,2,2,1,3,1,
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1]]],[[[1,1,2,1],[2,1,1,1],[4,2,3,-1,4,-1,3,-2,2,-1]],[[2,1,1,1],[3,1,1,1,2,1,
3,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,2]],[[2,1,1,1],[3,1,2,2,3,
-1,2,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1]],[[2,1,1,1,2,-3,1,1,2,-1]],[[2,1,1,1],[3,1,1,1,2,1,
3,-1,2,-1]]],[[[2,1,1,1],[1,1,2,-1,1,1,2,2,3,2]],[[2,1,1,1],[3,1,1,1,2,1,3,-1,
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2,-1,3,-1]],[[1,1,2,1],[3,2],[4,-2,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[3,2],[5,
1,4,-2,5,-1]],[[2,1,1,1],[1,1,2,-1,1,1,2,2,3,2]]],[[[2,1,1,1],[1,1,2,-2,1,1,2,
1,3,2,2,2]],[[1,1,2,1],[2,1,1,1],[3,2],[5,1,4,-2,5,-1]]],[[[2,2],[3,1,1,1,2,
-1,1,1,2,1,3,1]],[[2,1,1,1,2,-1],[3,1,1,1,2,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,
2],[5,1,4,-2,5,-1]],[[1,1,2,1],[2,1,1,1,2,-1],[4,1,3,1,4,1,3,1]]],[[[2,2],[3,
1,1,1,2,-1,1,1,2,1,3,1]],[[1,1,2,-2,1,1,2,2,1,1]]],[[[1,1,2,1],[2,1,1,1],[3,
2],[5,1,4,-2,5,-1]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,1,2,2]]],[[[1,1,2,1],[2,1,
1,1],[2,1,4,-1,3,1,4,1,2,-2,3,-1]],[[2,1,1,1],[2,2,3,1,2,1,3,-1,1,1,2,1,3,
1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1]],[[1,1,2,1],[3,1,2,2,3,1,2,1,3,
1]],[[1,1,2,1],[2,2,3,3,1,1,2,-1]]],[[[2,1,1,1],[1,1,2,-1,1,1,2,2,3,2]],[[1,1,
2,1],[2,1,1,1,2,-1],[4,1,3,1,4,1,3,1]]],[[[1,1,2,1],[2,2,3,1,2,1,1,1,3,-1,2,
-1]],[[1,1,2,1],[1,1,2,-1,3,2,2,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,2,1,
3,1,4,1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,2,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,
-1,3,2,4,-1]],[[2,1,1,1],[3,1,1,1,2,1,3,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,
2,1,4,-2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,-1,2,1,4,-1,3,
1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,2,1,3,1]]],[[[1,1,2,1],[2,1,3,1],[4,1,2,1,1,1,
4,1,3,1]],[[1,1,2,1],[1,1,2,-1,3,2,2,1,1,1]]],[[[2,1,1,1],[2,2,3,-1,1,1,2,1,3,
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1]]],[[[1,1,2,1],[2,1,3,2,1,1,2,1,1,1]],[[1,1,2,1],[3,2],[4,-2,2,1,1,1]]],[[[
1,1,2,1],[3,1,2,1,1,1,2,-1,3,1,2,1]],[[1,1,2,1],[2,-1,1,1,2,-2,3,1]]],[[[1,1,
2,1],[2,1,3,1],[4,1,3,2,4,1]],[[2,1,1,1,2,-3,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,
1],[2,1,3,1,4,-1,3,1,4,-1]],[[2,1,1,1],[1,1,2,-2,3,-3,2,-1]]],[[[1,1,2,1],[2,
1,3,1],[4,1,1,1,2,-1,3,-1,4,-1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2,2,-1]]],[[[
2,1,1,1],[3,1,2,2,1,1,2,1,3,2]],[[1,1,2,1],[3,1,1,1,3,-2]]],[[[2,1,1,1],[3,1,
2,2,3,-1,2,-1,1,1,2,-1]],[[1,1,2,1],[3,1,2,2,3,2,2,1]]],[[[1,1,2,1],[3,1,2,2,
1,1,3,-1,2,-1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,2,1,3,1]]],[[[2,-3,1,1,2,-1,1,1,2,
2,1,1]],[[1,1,2,1],[2,1,3,2,1,1,2,1,1,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,3,-1,2,
1,1,1]]],[[[1,1,2,1],[2,2,1,1,3,2,2,2]],[[1,1,2,1],[1,1,2,-1,3,2,2,1,3,1]],[[
2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[1,1,2,1],[2,2,3,3,1,1,2,-1]]],[[[
1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,-1,2,1,4,-1,3,1]],[[1,1,2,1],[3,1,1,1,2,1,
1,1,2,1,3,1]],[[2,1,1,1],[2,1,3,-1,1,1,2,1],[3,1,4,-2,3,-1]]],[[[2,1,1,1,2,-3,
1,1,2,-1]],[[1,1,2,1,1,1,2,1,1,1,2,2]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,1,2,
1]],[[2,2,1,1,2,-2,1,1,2,1]]],[[[1,1,2,1],[2,2,3,1,1,1,2,-1,3,2,2,1]],[[1,1,2,
1],[2,1,1,1],[3,1,4,-4,3,-1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,2,1,3,1]]],[[[1,1,2,
1],[2,1,1,1,2,-1,3,3]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1]]],[[[1,1,2,1],[2,1,
1,1,2,-1,3,-2,2,-2]],[[1,1,2,1],[3,1,1,1,2,-1,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,
1,2,2,3,2,4,1]],[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,3,2]]],[[[1,1,2,1],[2,1,3,1,
2,1,1,1,2,-1,3,-1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1]],[[1,1,2,1],[3,2],[4,
-2,2,1,1,1]]],[[[1,1,2,-2,1,1,2,2,1,1]],[[2,1,1,1,2,-1],[3,1,1,1,2,1,3,
1]]],[[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,1,2,2]],[[1,1,2,1],[2,1,1,1,2,-1],[4,1,
3,1,4,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,2],[5,1,4,-2,5,-1]],[[1,1,2,1],[2,1,1,
1,2,-1],[4,1,3,1,4,1,3,1]],[[2,1,1,1],[1,1,2,-1,1,1,2,2,3,2]]],[[[1,1,2,1],[2,
1,1,1],[3,2],[5,1,4,-2,5,-1]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,1,2,2]],[[2,1,1,
1],[1,1,2,-1,1,1,2,2,3,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,2,1,3,1,4,
1]],[[1,1,2,1,1,1,2,1]]],[[[1,1,2,1],[2,1,1,1],[3,2],[5,1,4,-2,5,-1]],[[1,1,2,
1],[3,1,2,1,3,1,2,1,1,1,2,-1,3,-1]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,4,1,2,1,1,
1]]],[[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,2,2,1]],[[1,1,2,1],[2,1,3,1],[4,1,2,1,1,
1,3,-1,4,-1]]],[[[2,1,1,1],[1,1,2,-2,3,-3,2,-1]],[[1,1,2,1],[2,1,3,1],[4,1,3,
2,4,1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,2,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,
4,-2,1,1,3,-1]],[[1,1,2,1],[2,1,1,1,2,-1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,
3,2,1,1,2,1,1,1]]],[[[1,1,2,1],[2,1,3,3,2,2]],[[2,1,1,1,2,-3,1,1,2,-1]],[[2,
-1,1,1,2,1]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-1,3,-1]],[[2,1]]],[[[2,1,1,1,2,
-3,1,1,2,-1]],[[1,1,2,1,1,1,2,1,1,1,2,2]],[[2,-1,1,1,2,1]]],[[[2,1,1,1],[1,1,
2,-1,1,1,2,2,3,2]],[[1,1,2,1],[2,1,1,1,2,-1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,
1,1,1,3,-1,2,-1,3,1,2,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,2,1,3,1,4,
1]],[[1,1,2,1]]],[[[2,-3,1,1,2,-1,1,1,2,2,1,1]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,
4,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[3,2],[5,1,4,-2,5,-1]],[[1,1,2,1],[2,1,1,
1,3,-2,2,2]]],[[[1,1,2,1],[2,1,3,1],[4,1,3,1,4,1,2,1,1,1]],[[2,1,1,1,2,-3,1,1,
2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,2,-1,3,-1]]],[[[1,1,2,1],[2,1,3,1],[4,1,
2,1,1,1,3,-1,4,-1]],[[1,1,2,-1,1,1,2,-2]]],[[[2,1,1,1],[2,1,3,-1,2,-1,1,1,2,1,
3,2]],[[2,2,1,1,2,1,1,1,2,-1]]],[[[2,1,1,1],[2,1,3,2,2,-1,1,1,2,2,1,1]],[[1,1,
2,1],[3,1,1,1,2,1,1,1,2,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,1,4,
-1]],[[1,1,2,1],[2,1,3,1],[4,1,3,2,4,1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,2,1,3,
1]]],[[[1,1,2,1],[2,1,3,1],[4,1,3,2,4,1]],[[1,1,2,1],[3,1,2,1,1,1,2,1,3,1]],[[
2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,2,1,3,
1,4,-1]],[[1,1,2,1]]],[[[2,-3,1,1,2,-1,1,1,2,2,1,1]],[[1,1,2,1],[2,1,1,1,3,-2,
2,2]],[[2,1,1,1,2,-3,1,1,2,-1]]],[[[1,1,2,-1],[3,2,1,1,2,1]],[[2,2,1,1,2,1,1,
1,2,-1]]],[[[1,1,2,1],[3,2,2,1,1,1,3,-2,2,-1]],[[2,1,1,1],[2,1,3,-1,2,-1,1,1,
2,1,3,2]],[[2,2,1,1,2,1,1,1,2,-1]]],[[[1,1,2,1],[1,1,2,-1,3,2,2,1,3,1]],[[2,2,
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LIBTOM( "L3(3).2",
[[1],[1,2],[1,3],[1,4],[1,5],[1,2,6],[1,2,7],[1,2,3,8],[1,2,9],[1,2,3,10],[1,
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2,3,7,8,10,18],[1,2,3,9,10,19],[1,2,7,9,20],[1,2,3,8,9,21],[1,2,9,22],[1,2,3,
6,8,9,23],[1,2,9,24],[1,2,3,6,7,10,25],[1,4,26],[1,4,5,27],[1,2,5,7,28],[1,2,
4,7,13,14,29],[1,2,4,6,14,30],[1,2,3,4,10,11,14,31],[1,2,3,5,10,12,15,16,32],[
1,33],[1,2,3,6,8,9,17,21,23,34],[1,2,7,9,17,20,24,35],[1,2,3,9,10,17,19,22,
36],[1,2,3,8,9,10,19,21,24,37],[1,2,3,6,7,8,9,10,18,19,20,23,25,38],[1,2,3,6,
8,9,22,23,24,39],[1,2,3,7,8,9,20,21,22,40],[1,2,4,13,26,41],[1,3,4,5,11,16,27,
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14,17,46],[1,2,3,5,7,8,10,15,18,28,47],[1,2,5,7,9,12,20,28,48],[1,2,3,5,6,7,
10,16,25,28,49],[1,2,3,4,6,7,10,11,13,14,25,29,30,31,50],[1,3,33,51],[1,4,5,
26,27,52],[1,2,3,6,7,8,9,10,17,18,19,20,21,22,23,24,25,34,35,36,37,38,39,40,
53],[1,2,4,9,13,26,41,54],[1,2,4,7,13,14,26,29,41,44,55],[1,2,3,4,5,10,11,12,
14,15,16,27,31,32,42,43,45,56],[1,5,33,57],[1,2,3,4,6,8,9,14,17,21,23,30,34,
46,58],[1,2,4,7,9,13,14,17,20,24,29,35,46,59],[1,2,3,4,9,10,11,14,17,19,22,31,
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40,46,50,53,58,59,60,69],[1,2,4,5,6,12,13,14,26,27,30,43,44,52,62,70],[1,2,3,
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12,13,14,26,27,29,41,43,44,52,55,62,64,72],[1,2,4,7,9,13,14,17,20,24,26,29,35,
41,44,54,55,65,66,67,73],[1,2,4,5,9,13,14,17,26,27,41,44,46,52,54,64,65,74],[
1,2,3,4,5,6,7,10,11,12,13,14,15,16,25,26,27,29,30,31,32,41,42,43,44,45,50,52,
55,56,62,63,64,70,71,72,75],[1,2,4,5,7,9,12,13,14,17,20,24,26,27,29,35,41,43,
44,46,52,54,55,59,62,64,65,66,67,72,73,74,76],[1,2,4,5,7,9,12,13,14,17,20,24,
26,27,28,29,33,35,41,43,44,46,48,52,54,55,57,59,62,64,65,66,67,72,73,74,76,
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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]],
0,
[[1],[1,1],[1,1],[1,1],[1,1],[1,1,1],[1,3,1],[1,1,2,1],[1,1,1],[1,1,2,1],[1,3,
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18,8,8,4,1,6,3,3,3,3,3,3,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,9,7,6,9,6,6,
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[( 1, 9)( 2, 8)( 3,10)( 4,11)( 5,12)( 6,13)( 7,14)(15,18)(16,21)(17,22)(19,24)
(20,25)(23,26),( 1, 5,21,15)( 2, 3,23,16)( 4, 6,10,17)( 7, 8)( 9,13)(11,18)
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LIBTOM( "L3(4).3",
[[1],[1,2],[1,3],[1,4],[1,5],[1,2,6],[1,2,7],[1,2,8],[1,2,9],[1,10],[1,2,5,
11],[1,2,3,12],[1,13],[1,2,6,8,14],[1,2,6,7,15],[1,2,6,9,16],[1,2,9,17],[1,2,
7,8,9,18],[1,5,19],[1,3,5,20],[1,4,5,21],[1,2,10,22],[1,2,3,6,23],[1,2,3,6,
24],[1,2,5,6,25],[1,2,3,6,12,26],[1,2,5,8,27],[1,2,5,7,28],[1,3,10,29],[1,2,6,
8,14,30],[1,2,6,7,15,31],[1,2,6,9,16,32],[1,2,6,9,16,17,33],[1,2,6,8,9,14,16,
34],[1,2,6,7,8,9,14,15,16,18,35],[1,2,6,7,9,15,16,36],[1,2,5,11,19,37],[1,2,3,
5,11,12,20,38],[1,5,13,39],[1,4,13,40],[1,4,13,41],[1,4,13,42],[1,2,3,6,8,12,
14,23,43],[1,2,3,6,7,12,15,24,44],[1,2,3,9,12,17,45],[1,2,5,7,8,9,11,18,27,
46],[1,2,5,7,8,9,11,18,28,47],[1,3,4,5,19,20,21,48],[1,2,3,10,12,22,29,49],[1,
2,6,7,8,9,14,15,16,18,31,35,36,50],[1,2,6,7,8,9,14,15,16,18,30,34,35,51],[1,2,
6,7,8,9,14,15,16,17,18,32,33,34,35,36,52],[1,2,5,9,11,19,37,53],[1,2,3,5,6,12,
20,23,24,25,26,54],[1,2,3,6,7,15,23,31,55],[1,2,3,6,8,14,24,30,56],[1,2,5,6,7,
15,25,28,31,57],[1,2,5,6,8,14,25,27,30,58],[1,2,3,6,8,12,14,23,26,30,43,59],[
1,2,3,6,7,12,15,24,26,31,44,60],[1,2,3,6,9,12,16,17,26,33,45,61],[1,2,5,6,9,
16,25,32,62],[1,2,3,4,5,11,12,19,20,21,37,38,48,63],[1,2,5,6,10,11,22,25,64],[
1,2,5,7,10,11,22,28,65],[1,2,5,8,10,11,22,27,66],[1,4,5,13,21,39,40,41,42,
67],[1,2,6,7,8,9,14,15,16,17,18,30,31,32,33,34,35,36,50,51,52,68],[1,2,5,9,11,
17,19,37,53,69],[1,2,6,7,10,15,31,70],[1,2,6,8,10,14,30,71],[1,2,5,6,7,8,9,11,
14,15,16,18,25,28,31,35,36,47,50,57,72],[1,2,5,6,7,8,9,11,14,15,16,18,25,27,
30,34,35,46,51,58,73],[1,2,3,6,7,8,9,12,14,15,16,18,23,31,35,36,43,50,55,74],[
1,2,3,6,7,8,9,12,14,15,16,18,24,30,34,35,44,51,56,75],[1,2,3,5,6,7,12,15,20,
23,24,25,26,28,31,44,54,55,57,60,76],[1,2,3,5,6,8,12,14,20,23,24,25,26,27,30,
43,54,56,58,59,77],[1,2,6,7,8,9,10,14,15,16,18,22,30,34,35,51,71,78],[1,2,6,7,
8,9,10,14,15,16,18,22,31,35,36,50,70,79],[1,2,5,7,8,9,11,13,18,27,28,39,46,47,
80],[1,2,3,5,6,10,11,12,20,22,23,24,25,26,29,38,49,54,64,81],[1,2,5,6,7,8,9,
14,15,16,17,18,25,27,28,30,31,32,33,34,35,36,50,51,52,57,58,62,68,82],[1,2,3,
6,7,8,9,12,14,15,16,17,18,23,24,26,30,31,32,33,34,35,36,43,44,45,50,51,52,59,
60,61,68,83],[1,2,3,6,7,8,9,12,14,15,16,17,18,24,26,30,31,32,33,34,35,36,44,
50,51,52,56,60,68,75,84],[1,2,3,6,7,8,9,12,14,15,16,17,18,23,26,30,31,32,33,
34,35,36,43,50,51,52,55,59,68,74,85],[1,2,3,4,5,9,11,12,17,19,20,21,37,38,45,
48,53,63,69,86],[1,2,3,6,7,10,15,23,29,31,55,70,87],[1,2,3,6,8,10,14,24,29,30,
56,71,88],[1,2,3,5,6,7,8,9,11,12,14,15,16,18,20,23,24,25,26,28,31,35,36,38,43,
44,47,50,54,55,57,60,72,74,76,89],[1,2,3,5,6,7,8,9,11,12,14,15,16,18,20,23,24,
25,26,27,30,34,35,38,43,44,46,51,54,56,58,59,73,75,77,90],[1,2,5,7,8,9,10,11,
18,19,22,27,28,37,46,47,53,65,66,91],[1,2,3,6,7,8,9,10,12,14,15,16,18,22,23,
29,31,35,36,43,49,50,55,70,74,79,87,92],[1,2,3,6,7,8,9,10,12,14,15,16,18,22,
24,29,30,34,35,44,49,51,56,71,75,78,88,93],[1,2,3,5,6,7,8,9,12,14,15,16,17,18,
20,23,24,25,26,27,28,30,31,32,33,34,35,36,43,44,45,50,51,52,54,55,56,57,58,59,
60,61,62,68,74,75,76,77,82,83,84,85,94],[1,2,5,6,7,8,9,10,11,14,15,16,17,18,
22,25,27,28,30,31,32,33,34,35,36,46,50,51,52,57,58,62,64,65,68,71,73,78,82,
95],[1,2,5,6,7,8,9,10,11,14,15,16,17,18,22,25,27,28,30,31,32,33,34,35,36,47,
50,51,52,57,58,62,64,66,68,70,72,79,82,96],[1,2,3,5,6,7,8,9,10,11,12,14,15,16,
17,18,20,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,38,43,44,45,46,49,50,51,
52,54,55,56,57,58,59,60,61,62,64,65,68,71,73,74,75,76,77,78,81,82,83,84,85,88,
90,93,94,95,97],[1,2,3,5,6,7,8,9,10,11,12,14,15,16,17,18,20,22,23,24,25,26,27,
28,29,30,31,32,33,34,35,36,38,43,44,45,47,49,50,51,52,54,55,56,57,58,59,60,61,
62,64,66,68,70,72,74,75,76,77,79,81,82,83,84,85,87,89,92,94,96,98],[1,2,5,6,7,
8,9,10,11,13,14,15,16,17,18,19,22,25,27,28,30,31,32,33,34,35,36,37,39,46,47,
50,51,52,53,57,58,62,64,65,66,68,69,70,71,72,73,78,79,80,82,91,95,96,99],[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]],
0,[[1],[1,1],[1,1],[1,1],[1,1],[1,3,1],[1,3,1],[1,3,1],[1,1,1],[1,1],[1,3,1,
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1],[1,4,1],[1,3,1,1],[1,3,1,1],[1,5,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[
1,3,1,1,3,1],[1,3,4,1,1],[1,3,4,1,1],[1,1,1,1],[1,15,5,30,15,1],[1,15,5,30,15,
1],[1,3,1,6,3,1],[1,3,1,6,3,4,1],[1,7,1,6,4,1,2,1],[1,11,1,6,6,2,1,1,1,4,1],[
1,7,1,6,4,1,2,1],[1,9,4,12,1,1],[1,3,3,1,1,3,1,1],[1,7,1,1],[1,7,1,1],[1,1,1,
1],[1,7,1,1],[1,7,4,1,6,4,1,1,1],[1,7,4,1,6,4,1,1,1],[1,1,4,3,4,1,1],[1,9,4,3,
1,3,4,3,1,1],[1,9,4,1,3,3,4,3,1,1],[1,3,6,4,1,1,2,1],[1,5,1,1,5,1,1,1],[1,19,
5,30,6,6,1,15,3,12,1,3,3,1],[1,19,5,6,30,6,15,1,3,12,1,3,3,1],[1,11,1,6,6,10,
1,1,5,4,4,1,1,2,1,2,1],[1,9,4,9,12,1,1,1],[1,3,9,4,1,3,4,1,1,1,1,1],[1,15,16,
5,30,15,20,1,1],[1,15,16,5,30,15,20,1,1],[1,15,16,5,30,15,8,12,1,1],[1,15,16,
5,30,15,8,12,1,1],[1,15,4,5,30,12,15,1,4,1,3,1],[1,15,4,5,30,12,15,1,4,1,3,
1],[1,3,4,1,6,12,3,4,4,1,1,1],[1,3,16,1,6,3,4,1,1],[1,9,3,6,4,12,9,1,1,2,1,3,
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,
15,7,1,7,1,1,1,1,1],[1,27,9,30,30,18,15,15,9,12,36,1,1,3,3,9,9,9,3,3,9,1],[1,
9,4,27,12,9,1,1,3,1],[1,15,5,30,16,15,1,1],[1,15,5,30,16,15,1,1],[1,27,16,5,
30,18,18,16,3,15,9,36,8,12,1,9,9,12,3,1,1],[1,27,16,5,18,30,18,16,15,3,9,36,8,
12,1,9,9,12,3,1,1],[1,19,16,5,30,6,6,16,1,15,3,12,20,1,3,3,4,1,1,1],[1,19,16,
5,6,30,6,16,15,1,3,12,20,1,3,3,4,1,1,1],[1,15,24,16,5,30,24,15,16,20,2,8,8,12,
1,6,8,1,1,2,1],[1,15,24,16,5,30,24,15,16,2,20,8,8,12,1,6,8,1,1,2,1],[1,35,5,
30,30,30,16,15,5,15,60,16,1,15,15,5,1,1],[1,35,5,30,30,30,16,5,15,15,60,16,1,
15,15,5,1,1],[1,21,28,7,7,21,28,8,21,7,7,8,7,7,1],[1,15,21,10,5,6,10,15,10,6,
5,5,5,5,6,10,6,5,1,1],[1,27,64,9,30,30,18,15,15,9,12,36,48,48,48,1,1,3,3,9,9,
9,3,3,9,4,4,12,1,1],[1,27,16,9,30,30,18,48,15,15,9,12,36,4,4,16,1,1,3,3,9,9,9,
12,12,12,3,3,9,4,4,12,1,1],[1,27,16,9,30,30,18,48,15,15,9,12,36,20,16,1,1,3,3,
9,9,9,12,3,3,9,1,4,1,3,1],[1,27,16,9,30,30,18,48,15,15,9,12,36,20,16,1,1,3,3,
9,9,9,12,3,3,9,1,4,1,3,1],[1,9,12,24,4,27,12,36,9,1,4,8,1,12,9,4,3,4,1,1],[1,
15,16,5,30,16,15,20,16,1,1,1,1],[1,15,16,5,30,16,15,20,16,1,1,1,1],[1,27,24,
16,5,30,18,18,16,72,3,15,9,36,16,20,2,8,8,12,1,9,9,16,12,6,12,3,8,1,1,2,1,3,1,
1],[1,27,24,16,5,18,30,18,16,72,15,3,9,36,16,2,20,8,8,12,1,9,9,16,6,12,12,3,8,
1,1,2,1,3,1,1],[1,45,40,15,15,45,36,120,45,10,36,15,15,10,15,15,10,6,6,1],[1,
35,16,5,30,30,30,16,80,5,15,15,60,16,20,16,1,15,15,20,16,5,1,1,5,1,1,1],[1,35,
16,5,30,30,30,16,80,15,5,15,60,16,20,16,1,15,15,20,16,5,1,1,5,1,1,1],[1,27,48,
64,9,30,30,18,144,15,15,9,12,36,64,24,24,48,48,48,48,1,1,3,3,9,9,9,24,24,12,3,
3,9,48,1,1,4,4,8,8,12,12,1,3,3,4,4,1,1,1,1,1],[1,75,160,25,150,30,90,96,160,
15,75,45,60,180,96,160,120,240,1,5,15,15,45,45,45,120,15,15,45,20,10,60,16,48,
5,6,10,6,5,1],[1,75,160,25,30,150,90,96,160,75,15,45,60,180,96,160,240,120,5,
1,15,15,45,45,45,120,15,15,45,10,20,60,16,48,5,6,10,6,5,1],[1,75,96,160,25,
150,30,90,96,160,480,15,75,45,60,180,160,96,100,40,160,160,120,240,96,1,5,15,
15,45,45,45,160,60,120,60,120,96,15,15,45,160,5,1,20,10,20,40,60,60,16,48,5,6,
10,15,15,20,10,6,16,5,5,5,5,6,10,6,5,1,1],[1,75,96,160,25,30,150,90,96,160,
480,75,15,45,60,180,160,96,40,100,160,160,240,120,96,5,1,15,15,45,45,45,160,
120,60,60,120,96,15,15,45,160,1,5,10,20,40,20,60,60,16,48,5,6,10,15,15,10,20,
6,16,5,5,5,5,6,10,6,5,1,1],[1,315,1120,105,630,630,1890,2016,3360,960,315,315,
945,1260,3780,280,2016,1680,2520,2520,21,21,315,315,945,945,945,280,960,2520,
2520,315,315,945,840,210,210,1260,336,1008,1008,105,280,126,126,210,210,126,
126,360,105,168,21,21,1],[1,315,336,960,1120,105,630,630,1890,2016,3360,5040,
960,315,315,945,1260,3780,280,1120,2240,2016,420,420,1680,1680,2520,2520,2016,
21,21,315,315,945,945,945,280,3360,960,960,960,960,1260,1260,1260,2520,2520,
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1008,960,105,280,126,126,210,210,315,315,210,210,126,126,360,336,105,105,105,
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16,16,16,16,18,18,21,21,21,21,24,24,24,24,24,27,30,32,32,32,36,36,48,48,48,48,
48,48,48,48,54,60,60,60,63,64,72,80,80,96,96,96,96,144,144,160,160,168,180,
192,192,192,192,216,240,240,288,288,360,480,480,576,960,960,2880,2880,20160,
60480],
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54,46,47,49,97,98,82,83,68,68,68,86,38,67,67,67,67,59,60,61,46,47,63,49,85,84,
68,69,54,98,97,89,90,77,76,61,62,63,81,65,66,67,94,86,92,93,89,90,85,84,89,90,
93,92,80,81,94,94,94,94,86,92,93,89,90,91,92,93,94,97,98,97,98,100,100],
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2,5,9,17,21,22,39,45,63],[1,2,3,5,9,10,11,17,18,20,21,22,24,25,26,42,45,47,50,
51,64],[1,2,5,6,7,8,9,10,17,19,20,23,27,38,41,43,44,46,48,65],[1,2,3,5,6,7,8,
9,11,17,18,19,21,22,23,24,26,41,45,47,49,52,66],[1,2,5,6,7,8,9,10,17,19,20,25,
27,40,42,43,44,46,48,67],[1,2,4,9,15,28,53,68],[1,2,3,4,11,13,14,15,28,36,53,
54,69],[1,2,4,10,15,28,53,70],[1,3,4,14,16,37,56,71],[1,2,4,5,6,7,8,19,32,33,
34,35,38,72],[1,2,4,5,9,17,32,39,73],[1,2,4,5,10,20,32,40,74],[1,2,4,5,12,15,
29,32,75],[1,2,4,7,12,15,29,34,76],[1,2,4,8,12,15,29,35,77],[1,2,4,6,12,15,29,
33,78],[1,2,5,6,7,8,9,10,17,19,20,23,25,27,38,39,40,41,42,43,44,46,48,62,65,
67,79],[1,2,3,5,6,7,8,9,10,11,17,18,19,20,21,22,23,24,25,26,39,41,42,45,46,47,
48,49,50,51,52,61,62,63,64,66,80],[1,2,5,6,7,8,9,10,17,19,20,21,22,23,25,39,
41,42,45,46,48,62,63,81],[1,2,4,9,10,15,25,28,53,68,70,82],[1,2,3,4,9,11,13,
14,15,26,28,36,53,54,68,69,83],[1,2,4,9,15,22,28,53,68,84],[1,2,5,6,7,8,12,19,
38,85],[1,2,4,5,6,7,8,9,10,15,17,19,20,23,27,32,33,34,35,38,41,43,44,46,48,57,
59,60,65,72,86],[1,2,3,4,5,9,11,14,17,18,24,26,32,39,47,58,61,73,87],[1,2,3,4,
5,11,12,13,14,15,18,29,30,31,32,36,55,58,75,88],[1,2,3,5,6,7,8,9,10,11,17,18,
19,20,21,22,23,24,25,26,27,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,61,62,
63,64,65,66,67,79,80,81,89],[1,2,3,4,9,10,11,13,14,15,22,25,26,28,36,51,53,54,
68,69,70,82,83,84,90],[1,2,5,6,7,8,9,10,12,17,19,20,23,27,29,38,41,43,44,46,
48,65,85,91],[1,2,4,7,9,15,16,23,34,56,59,92],[1,2,4,6,8,10,15,16,27,33,35,56,
57,60,93],[1,2,4,5,6,7,8,9,10,17,19,20,23,25,27,32,33,34,35,38,39,40,41,42,43,
44,46,48,62,65,67,72,73,74,79,94],[1,2,3,4,7,9,11,13,14,15,16,21,23,24,34,36,
37,49,56,59,71,92,95],[1,2,4,7,9,12,15,23,28,29,34,53,59,68,76,96],[1,2,4,6,8,
10,12,15,27,28,29,33,35,53,57,60,70,77,78,97],[1,2,3,4,5,6,7,8,9,10,11,14,17,
18,19,20,21,22,23,24,25,26,27,32,33,34,35,38,39,40,41,42,43,44,45,46,47,48,49,
50,51,52,58,61,62,63,64,65,66,67,72,73,74,79,80,81,87,89,94,98],[1,2,3,4,7,9,
11,12,15,22,23,24,28,29,30,31,34,52,53,55,59,68,76,84,96,99],[1,2,4,5,6,7,8,9,
10,12,15,17,19,20,23,25,27,29,32,33,34,35,38,39,40,41,42,43,44,46,48,57,59,60,
62,65,67,72,73,74,75,76,77,78,79,85,86,91,94,100],[1,2,4,5,6,7,8,9,10,12,15,
16,17,19,20,23,25,27,28,29,32,33,34,35,38,39,40,41,42,43,44,46,48,53,56,57,59,
60,62,65,67,68,70,72,73,74,75,76,77,78,79,82,85,86,91,92,93,94,96,97,100,
101],[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]],
0,
[[1],[1,1],[1,1],[1,1],[1,3,1],[1,3,1],[1,3,1],[1,3,1],[1,1,1],[1,1,1],[1,1,2,
1],[1,1],[1,3,1,1],[1,1,1,1],[1,3,1,1],[1,1],[1,3,1,2,1],[1,3,4,1,6,1],[1,7,1,
2,2,2,1],[1,3,1,2,1],[1,1,1,1],[1,1,1,1],[1,5,2,1,1],[1,1,4,1,2,1],[1,1,1,2,
1],[1,1,4,1,2,1],[1,5,1,1,1,1],[1,4,1],[1,5,1,1],[1,1,1,1],[1,5,1,1],[1,3,4,1,
1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,3,1,1,1,1],[1,7,1,1],[1,15,5,
10,10,10,15,1],[1,3,1,6,3,1],[1,3,1,6,3,1],[1,11,1,4,4,4,2,1,2,4,1],[1,3,1,2,
4,1,2,4,1],[1,11,1,4,4,4,2,2,1,4,1],[1,7,1,2,2,2,4,1,2,1],[1,3,1,2,1,1,1,1],[
1,7,1,2,2,2,2,2,1,1,1,1],[1,3,8,1,2,12,1,2,2,2,1],[1,7,1,2,2,2,2,2,1,1,1,1],[
1,5,4,2,1,2,1,1,1,1],[1,1,4,1,2,2,1,1,1,1],[1,1,4,1,2,2,1,1,1,1],[1,5,4,2,1,2,
1,1,1,1],[1,9,4,12,1,1],[1,3,4,1,3,1,1],[1,5,6,5,1,1,1,1,1],[1,7,1,1],[1,9,4,
1,3,3,4,3,1,1],[1,3,4,4,1,6,4,1,1,1],[1,9,4,4,3,4,3,1,1],[1,9,4,3,1,3,4,3,1,
1],[1,3,16,1,6,24,3,4,12,12,1,6,1],[1,11,1,4,4,4,6,4,3,2,2,4,4,1,1,1,2,2,1],[
1,3,1,6,3,2,2,1,2,1],[1,3,8,1,2,4,12,1,2,2,1,1,2,4,2,1,1,1,2,2,1],[1,19,5,12,
12,12,2,4,1,16,2,4,8,1,1,2,1,1,1,1],[1,11,8,1,4,4,4,2,12,1,2,2,1,1,4,2,2,1,1,
1,2,2,1],[1,11,1,4,4,4,2,8,1,2,4,4,4,1,1,1,2,1,1,1],[1,9,4,9,12,1,1,1],[1,9,6,
4,9,2,6,12,1,6,1,2,1],[1,9,4,9,12,1,1,1],[1,7,7,7,1,1,1,1],[1,15,16,5,10,10,
10,15,8,4,4,4,1,1],[1,3,16,1,6,3,4,1,1],[1,3,16,1,6,3,4,1,1],[1,15,10,5,6,10,
6,5,1],[1,15,10,5,6,10,6,5,1],[1,15,10,5,6,10,6,5,1],[1,15,10,5,6,10,6,5,1],[
1,27,9,20,20,20,6,12,3,30,6,12,12,24,2,1,2,3,3,6,6,6,6,3,6,6,1],[1,11,16,1,4,
4,4,6,4,24,3,4,2,2,2,2,4,12,4,12,1,1,1,2,2,6,2,4,4,4,4,1,1,1,2,2,1],[1,11,1,4,
4,4,6,4,3,2,2,4,4,4,4,1,1,1,4,2,2,1,2,1],[1,9,4,9,18,12,9,1,1,1,2,1],[1,9,12,
4,9,18,4,12,12,9,1,12,1,4,1,2,1],[1,9,4,9,12,9,1,1,1,1],[1,15,5,10,10,10,16,
15,1,1],[1,27,16,5,16,16,16,6,12,16,3,18,6,12,24,8,4,4,4,1,3,6,3,3,3,4,4,4,3,
1,1],[1,3,16,16,1,6,24,16,3,4,12,12,4,1,6,4,1,1,1],[1,15,16,10,5,30,6,10,10,
10,5,6,6,6,5,10,6,5,1,1],[1,27,16,9,20,20,20,6,12,24,3,4,30,6,6,6,12,12,12,12,
24,2,1,2,3,3,6,6,6,6,6,6,12,12,12,12,1,3,3,6,6,6,6,1,3,3,1],[1,9,12,4,9,18,18,
4,12,12,9,9,9,1,12,9,1,4,1,2,2,1,1,1,1],[1,35,5,20,20,20,10,20,16,5,20,10,20,
40,16,1,5,10,5,5,5,5,1,1],[1,21,28,14,21,28,8,21,14,8,14,1],[1,21,28,7,7,21,
28,8,21,7,7,8,7,7,1],[1,27,64,9,20,20,20,6,12,3,30,6,12,12,24,48,32,32,32,2,1,
2,3,3,6,6,6,6,3,6,6,8,4,8,1,1],[1,21,28,28,14,21,42,28,28,28,8,21,21,21,14,28,
8,21,8,14,8,1,1],[1,45,40,30,45,36,120,45,10,36,30,10,30,10,12,1],[1,45,40,15,
15,45,36,120,45,10,36,15,15,10,15,15,10,6,6,1],[1,27,16,64,9,20,20,20,6,12,24,
64,3,4,30,6,6,6,12,12,12,12,24,48,32,32,32,2,1,2,3,3,6,6,6,6,6,6,12,12,12,12,
16,1,3,3,6,6,6,6,8,4,8,1,3,3,4,1,1,1],[1,45,36,40,30,45,90,36,120,45,45,45,10,
36,36,36,30,45,10,36,30,10,12,10,1,1],[1,75,160,25,60,60,60,30,60,96,160,15,
90,30,60,60,120,96,160,120,120,120,6,5,10,15,15,30,30,30,30,40,40,40,15,30,30,
30,20,40,16,16,16,16,5,6,10,6,5,1],[1,315,1120,105,420,420,420,630,1260,2016,
3360,960,315,630,630,1260,1260,2520,280,2016,1680,1680,1680,1680,42,105,210,
315,315,630,630,630,630,280,960,1680,1680,1680,315,630,630,280,560,420,420,
840,336,672,672,672,105,280,252,420,252,120,240,105,56,112,42,1],[1,315,336,
1120,105,420,420,420,630,1260,2520,2016,1120,3360,3360,960,315,420,630,630,
630,630,1260,1260,1260,1260,2520,280,2016,2016,2016,1680,1680,1680,1680,3360,
960,42,105,210,315,315,630,630,630,630,630,630,1260,1260,1260,1260,280,1120,
2016,960,1680,1680,1680,1680,105,315,315,630,630,630,630,280,560,560,960,420,
420,840,336,672,672,672,105,315,315,280,280,280,252,420,420,336,105,280,252,
120,240,105,120,56,112,105,56,42,1,1]],
[1,2,2,3,4,4,4,4,4,4,4,5,6,6,6,7,8,8,8,8,8,8,8,8,8,8,8,9,10,10,10,12,12,12,12,
12,14,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,18,18,20,21,24,24,24,24,32,
32,32,32,32,32,32,36,36,36,42,48,48,48,60,60,60,60,64,64,64,72,72,72,80,96,96,
120,128,144,160,168,168,192,336,360,360,384,720,960,20160,40320],
[102,89,88,69,98,86,86,86,80,67,47,55,69,36,36,71,89,87,79,79,80,80,66,66,64,
64,43,90,55,55,55,58,57,59,60,36,71,100,98,94,89,89,79,79,80,79,80,79,66,64,
64,66,90,69,55,71,57,58,59,60,98,89,89,80,79,80,79,90,83,82,71,86,87,74,88,76,
77,78,98,89,89,90,90,90,91,86,87,88,98,90,91,95,93,98,95,99,97,98,99,100,102,
102],
[1,1,1,1,1,1,1,1,1,1,1,1,4,1,4,1,1,1,1,1,1,1,2,2,2,2,2,1,12,1,12,5,6,7,8,4,16,
1,1,1,2,2,2,2,1,2,2,2,9,9,9,9,28,4,12,16,33,5,34,35,5,5,2,9,5,9,5,28,28,28,16,
38,39,40,75,76,77,78,5,17,17,53,53,28,38,72,39,75,39,68,85,92,93,79,92,96,97,
79,96,100,101,101],
[( 1, 2)( 4, 5)( 7, 9)( 8,11)(10,14)(12,17)(13,19)(15,21)(16,22)(20,24)(23,28)
(26,32)(27,30)(31,34)(35,36)(38,40),( 1,14,17,18,12, 8, 6, 4, 2, 3)
( 5,35,28,29,23,16,11,15,10, 7)( 9,19,33,26,21,32,31,25,20,13)(22,38,36,30,24,
 41,39,37,34,27)(40,42)],
[[[[]]],[[[1,1]]],[[[2,-5]]],[[[1,1,2,2]]],[[[1,1,2,1],[2,1,1,1],[2,2],[3,1,5,
1,4,-1,1,1,2,-1,3,1,2,1,4,1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,-1,2,
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1],[3,1,2,1,1,1,2,-1,3,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,3,-1,2,1,1,1]],[[2,
1,1,1],[3,1,2,-1,1,1,3,1,2,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,3,-1,2,1,1,
1]],[[1,1,2,-2,1,1,2,2,1,1]]],[[[1,1,2,-1,1,1,2,2,1,1,2,-1]]],[[[1,1,2,1],[2,
1,1,1],[2,1,4,1,3,-1,4,1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,-1,3,1,1,1,4,
1]],[[1,1,2,1],[2,1,1,1],[3,1,4,1,2,1,4,-1,3,1]]],[[[2,1,1,1,2,-1,1,1]]],[[[1,
1,2,1],[1,1,2,-2,3,1,2,1,1,1,2,-1,3,-1]],[[1,1,2,1],[2,1,3,1,1,1,2,-1,3,
2]]],[[[2,1,1,1]]],[[[1,1,2,1],[3,1,1,1,2,-1,1,1,2,-1,3,1]],[[1,1,2,-2,1,1,2,
2,1,1]]],[[[2,1,1,1,2,3,1,1]]],[[[1,1,2,1],[2,1,3,2,2,1,1,1,2,-1,3,1]],[[1,1,
2,1],[3,1,2,2,1,1,2,-2,3,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,4,-1,
2,-1,3,1,2,2,4,-1,5,1]],[[2,1,1,1],[1,1,2,3],[1,1,2,-1,4,1,3,2,4,-1]],[[1,1,2,
1],[2,1,1,1],[4,1,2,1,4,1,3,-1,1,1,2,-1,3,1,2,2,4,1]]],[[[1,1,2,1],[2,1,1,1],[
4,1,2,1,4,1,3,-1,4,1,3,1,2,1,3,1]],[[2,1,1,1],[2,1,3,1,1,1,2,1,3,-1,2,-2]],[[
2,1,1,1],[2,2,3,-1,1,1,2,1,3,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,1,4,
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1,2,-1,1,1,2,1]]],[[[1,1,2,1],[3,1,2,2,1,1,2,-2,3,-1]],[[1,1,2,-2,1,1,2,2,1,
1]]],[[[1,1,2,1],[2,1,3,2,2,3,1,1]],[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,-2,2,
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2,2,3,3,1]]],[[[1,1,2,1],[2,1,3,2,2,3,1,1]],[[2,-5]]],[[[1,1,2,1],[3,1,2,2,1,
1,2,-2,3,-1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,
2,-1],[4,1,2,-2,3,-1,5,2,4,-1,3,1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,
1,2,1,4,-1,3,2,2,1,4,1]]],[[[2,1,1,1],[2,2,3,-1,1,1,2,1,3,-1,2,-1]],[[2,-1,1,
1,2,1]]],[[[2,3]]],[[[1,1,2,1],[2,1,3,1,1,1,2,-1,3,2]],[[1,1,2,1],[2,2,3,2,1,
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1],[3,1,2,3,3,1,2,-1,1,1]],[[2,-5]]],[[[1,1,2,1],[2,1,1,1],[2,2],[3,1,5,1,4,
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1],[2,1,1,1],[2,2],[5,1,4,-1,2,-1,3,-1,5,1,1,1,2,-1,3,1,4,1]],[[1,1,2,1],[2,
2],[4,1,3,2,2,1,4,1,3,1,1,1,2,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,2,1,4,
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1,2,3],[5,1,3,-1,4,1,5,1,3,1,4,-1]]],[[[1,1,2,1],[1,1,2,-2],[4,1,3,1,4,1,3,
1]],[[2,1,1,1],[3,1,1,1,2,1,3,-1,2,-1]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,
-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-3,3,-1,4,1,2,1,4,-1,3,1]],[[1,1,2,1],[2,
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1]],[[2,1]]]]);





LIBTOM( "L3(4).3.2_3",
[[1],[1,2],[1,3],[1,4],[1,5],[1,6],[1,2,7],[1,2,8],[1,2,9],[1,2,3,10],[1,11],[
1,3,4,12],[1,2,6,13],[1,3,6,14],[1,3,4,15],[1,2,4,16],[1,3,5,17],[1,3,6,18],[
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25],[1,2,8,9,26],[1,2,3,9,10,27],[1,2,3,9,10,28],[1,6,29],[1,4,6,30],[1,5,6,
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13,14,18,41],[1,3,19,42],[1,4,11,43],[1,2,7,8,20,44],[1,2,7,9,21,45],[1,2,7,9,
21,22,46],[1,2,7,8,9,20,21,26,47],[1,2,3,7,9,10,21,23,27,28,48],[1,2,7,9,21,
24,25,49],[1,2,7,8,9,20,21,50],[1,2,3,8,9,10,24,26,28,51],[1,2,3,8,9,10,25,26,
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5,6,29,30,31,70],[1,2,4,11,16,32,43,71],[1,3,4,11,15,33,43,72],[1,3,4,11,12,
34,43,73],[1,2,3,7,9,10,21,23,27,28,45,48,74],[1,2,7,8,9,20,21,26,44,47,50,
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26,27,28,47,48,49,51,52,79],[1,2,6,9,13,29,55,80],[1,2,4,6,7,16,30,35,36,37,
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40,41,56,58,59,83],[1,3,5,17,19,42,62,84],[1,3,6,18,19,42,63,85],[1,2,4,7,8,
20,35,44,86],[1,2,6,7,8,20,36,39,44,87],[1,2,4,7,8,16,20,35,37,44,67,88],[1,2,
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15,16,22,25,27,40,54,65,91],[1,2,4,7,9,16,21,22,37,46,65,92],[1,2,4,5,6,13,16,
29,30,31,55,58,70,93],[1,3,4,5,6,14,15,18,29,30,31,56,57,70,94],[1,3,4,5,6,12,
14,17,18,29,30,31,57,59,60,70,95],[1,2,6,7,11,13,32,36,96],[1,2,3,4,10,11,12,
15,16,32,33,34,40,43,61,71,72,73,97],[1,2,6,8,11,13,32,39,98],[1,5,6,19,31,62,
63,64,99],[1,2,7,8,9,20,21,22,26,44,45,46,47,50,75,76,100],[1,2,3,7,8,9,10,20,
21,22,23,24,25,26,27,28,45,46,47,48,49,50,51,52,53,54,74,76,77,78,79,101],[1,
2,7,8,9,20,21,22,24,25,26,45,46,47,49,50,76,77,102],[1,2,6,9,13,22,29,55,80,
103],[1,2,3,6,9,10,13,14,18,27,29,41,55,57,80,82,104],[1,2,6,9,13,25,29,55,80,
105],[1,2,3,4,6,7,10,12,15,16,18,23,30,35,36,37,38,40,59,66,69,81,106],[1,2,7,
8,11,20,44,107],[1,2,6,7,8,9,13,20,21,26,36,39,44,47,50,68,75,87,108],[1,2,4,
7,8,9,16,20,21,26,35,44,47,50,67,75,86,109],[1,2,3,4,7,9,10,12,15,16,21,22,23,
24,25,27,28,37,38,40,46,48,49,53,54,65,66,78,89,91,92,110],[1,2,3,6,7,9,10,18,
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31,40,41,55,56,57,58,59,60,70,82,83,93,94,95,112],[1,2,3,6,7,10,11,13,14,18,
23,32,33,34,36,41,61,69,96,113],[1,3,5,6,17,18,19,31,42,60,62,63,64,84,85,99,
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54,74,75,76,77,78,79,100,101,102,115],[1,2,4,6,7,8,16,20,30,35,36,37,39,44,67,
81,86,87,88,116],[1,2,3,6,9,10,13,14,18,22,25,27,29,41,54,55,57,80,82,103,104,
105,117],[1,2,7,8,9,11,20,21,26,32,44,47,50,75,107,118],[1,2,6,8,9,13,19,26,
39,63,68,119],[1,2,4,6,7,11,13,16,30,32,35,36,37,43,58,71,81,96,120],[1,2,6,7,
8,9,20,21,22,26,36,39,44,45,46,47,50,75,76,87,90,100,121],[1,2,4,7,8,9,16,20,
21,22,26,35,37,44,45,46,47,50,65,67,75,76,88,92,100,122],[1,2,4,7,8,9,16,20,
21,22,26,35,37,44,45,46,47,50,67,75,76,86,88,100,109,123],[1,2,4,5,6,9,13,16,
22,29,30,31,55,58,65,70,80,93,103,124],[1,2,4,7,8,11,20,35,43,44,86,107,125],[
1,2,4,6,7,8,9,13,16,20,21,26,30,35,36,37,39,44,47,50,58,67,68,75,81,86,87,88,
108,109,116,126],[1,2,3,6,8,9,10,13,14,18,19,24,26,28,39,41,42,51,63,68,85,
119,127],[1,2,6,8,9,11,13,26,29,32,39,55,68,80,98,128],[1,2,3,4,6,7,10,11,12,
13,14,15,16,18,23,30,32,33,34,35,36,37,38,40,41,43,56,58,59,61,66,69,71,72,73,
81,83,96,97,106,113,120,129],[1,2,3,4,7,8,9,10,12,15,16,20,21,22,23,24,25,26,
27,28,35,37,38,40,44,45,46,47,48,49,50,51,52,53,54,65,66,67,74,75,76,77,78,79,
88,89,91,92,100,101,102,110,115,122,130],[1,2,3,6,7,8,9,10,18,20,21,22,23,24,
25,26,27,28,36,39,44,45,46,47,48,49,50,51,52,53,54,69,74,75,76,77,78,79,87,90,
100,101,102,111,115,121,131],[1,2,3,4,5,6,9,10,12,13,14,15,16,17,18,22,25,27,
29,30,31,40,41,54,55,56,57,58,59,60,65,70,80,82,83,91,93,94,95,103,104,105,
112,117,124,132],[1,2,4,7,8,9,11,16,20,21,26,32,35,43,44,47,50,67,71,75,86,
107,109,118,125,133],[1,2,4,6,7,8,9,16,20,21,22,26,30,35,36,37,39,44,45,46,47,
50,65,67,75,76,81,86,87,88,90,92,100,109,116,121,122,123,134],[1,2,3,6,8,9,10,
11,13,25,26,28,29,32,33,34,39,52,55,61,68,80,98,105,128,135],[1,2,6,7,8,9,11,
13,20,21,22,26,32,36,39,44,45,46,47,50,68,75,76,87,90,96,98,100,107,108,118,
121,136],[1,2,3,4,6,7,8,9,10,12,15,16,18,20,21,22,23,24,25,26,27,28,30,35,36,
37,38,39,40,44,45,46,47,48,49,50,51,52,53,54,59,65,66,67,69,74,75,76,77,78,79,
81,86,87,88,89,90,91,92,100,101,102,106,109,110,111,115,116,121,122,123,130,
131,134,137],[1,2,4,6,7,8,9,11,13,16,20,21,22,26,30,32,35,36,37,39,43,44,45,
46,47,50,58,65,67,68,71,75,76,81,86,87,88,90,92,96,98,100,107,108,109,116,118,
120,121,122,123,125,126,133,134,136,138],[1,2,6,7,8,9,11,13,19,20,21,22,26,29,
32,36,39,44,45,46,47,50,55,63,68,75,76,80,87,90,96,98,100,103,107,108,118,119,
121,128,136,139],[1,2,3,6,7,8,9,10,11,13,14,18,19,20,21,22,23,24,25,26,27,28,
29,32,33,34,36,39,41,42,44,45,46,47,48,49,50,51,52,53,54,55,57,61,63,68,69,74,
75,76,77,78,79,80,82,85,87,90,96,98,100,101,102,103,104,105,107,108,111,113,
115,117,118,119,121,127,128,131,135,136,139,140],[1,2,4,5,6,7,8,9,11,13,16,19,
20,21,22,26,29,30,31,32,35,36,37,39,43,44,45,46,47,50,55,58,62,63,64,65,67,68,
70,71,75,76,80,81,86,87,88,90,92,93,96,98,99,100,103,107,108,109,116,118,119,
120,121,122,123,124,125,126,128,133,134,136,138,139,141],[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]],
0,
[[1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,3,1],[1,3,1],[1,1,1],[1,1,2,1],[1,1],[1,
3,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,1,1,1],[1,3,1,1],[1,1,1,1],[1,1],[1,7,
1,6,1],[1,3,1,2,1],[1,1,3,1],[1,3,4,1,6,1],[1,1,1,1],[1,1,1,1],[1,5,2,1,1],[1,
1,4,1,2,1],[1,1,4,1,2,1],[1,4,1],[1,3,1,1],[1,3,1,1],[1,5,1,1],[1,5,1,1],[1,1,
1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,1,1,3,1],[1,1,6,1,3,2,1,1],[1,3,4,1,1],[1,1,
6,1,3,1,1,1,1],[1,3,4,1,3,1,1,1,1],[1,7,1,1],[1,1,1,1],[1,15,5,30,15,1],[1,3,
1,6,3,1],[1,3,1,6,3,4,1],[1,11,1,12,2,2,1,4,1],[1,3,8,1,2,12,1,2,2,2,1],[1,3,
1,2,1,1,1,1],[1,7,1,6,4,1,2,1],[1,5,4,2,1,2,1,1,1,1],[1,5,4,2,1,2,1,1,1,1],[1,
1,4,3,2,1,1,1,1],[1,1,4,3,2,1,1,1,1],[1,9,4,12,1,1],[1,9,3,1,3,9,1,1],[1,3,4,
1,3,1,1],[1,3,3,1,1,3,1,1],[1,3,3,1,1,3,1,1],[1,3,3,1,1,3,1,1],[1,5,6,5,1,1,1,
1,1],[1,1,1,1],[1,7,1,1],[1,7,1,1],[1,1,4,3,4,1,1],[1,3,12,1,1,18,1,3,3,3,1,3,
3,1],[1,7,4,1,6,4,1,1,1],[1,9,4,4,3,4,3,1,1],[1,3,4,4,1,6,4,1,1,1],[1,3,6,4,1,
1,2,1],[1,5,1,1,5,1,1,1],[1,15,1,1,5,3,1,1],[1,3,1,1,1,3,1,1],[1,3,16,1,6,24,
3,4,12,12,1,6,1],[1,19,5,36,6,16,3,12,1,3,3,1],[1,11,1,12,10,2,5,4,4,1,1,1,4,
1],[1,3,1,6,3,2,2,1,2,1],[1,3,8,1,6,12,3,4,2,1,1,2,2,1,1,1,2,2,1],[1,11,8,1,
12,2,12,2,1,2,1,1,4,2,2,1,1,1,2,2,1],[1,9,4,9,12,1,1,1],[1,3,9,4,1,3,4,2,1,1,
1],[1,9,6,4,9,12,2,6,1,6,1,2,1],[1,3,12,3,1,9,1,1,3,9,3,3,1,3,3,1,1,1,1],[1,
21,1,7,1,3,1,1],[1,7,7,7,1,1,1,1],[1,15,16,5,30,15,20,1,1],[1,15,16,5,30,15,8,
12,1,1],[1,15,4,5,30,12,15,1,4,1,3,1],[1,1,12,4,3,6,8,4,1,3,3,4,3,1,1],[1,3,
16,1,6,3,4,1,1],[1,1,12,4,3,6,4,4,4,1,3,3,4,3,1,1],[1,3,4,1,6,12,3,4,4,1,1,
1],[1,9,3,6,4,12,9,1,1,2,1,3,1,1],[1,9,3,6,4,3,9,9,1,1,2,1,3,1,1],[1,9,3,6,4,
3,3,6,9,1,1,2,3,3,6,1,1],[1,15,10,5,6,10,6,5,1],[1,5,18,1,15,1,1,5,5,1,3,3,5,
1,3,1,1,1,1],[1,15,10,5,6,10,6,5,1],[1,15,7,1,7,1,1,2,1],[1,27,9,60,18,30,9,
12,36,2,3,3,9,18,6,9,1],[1,11,16,1,12,10,24,2,5,4,4,2,2,4,12,12,1,1,1,6,2,4,4,
4,4,4,1,1,1,2,2,1],[1,11,1,12,10,2,5,4,4,4,4,1,1,1,4,4,1,2,1],[1,9,4,27,12,9,
1,1,3,1],[1,9,12,4,9,18,12,4,12,9,1,12,1,4,1,2,1],[1,9,4,9,12,9,1,1,1,1],[1,3,
12,9,4,1,18,1,3,3,12,3,4,2,1,1,3,3,4,1,3,1,1],[1,15,5,30,16,15,1,1],[1,27,16,
5,48,18,16,18,9,36,8,12,1,9,9,12,3,1,1],[1,19,16,5,36,6,16,16,3,12,20,1,3,3,4,
1,1,1],[1,3,24,4,1,6,36,4,12,12,3,4,6,3,3,6,6,4,12,12,1,3,3,6,6,1,4,3,1,1,1,
1],[1,3,16,16,1,6,24,16,3,4,12,12,4,1,6,4,1,1,1],[1,9,18,3,6,4,27,3,12,6,9,9,
6,18,1,1,2,9,18,1,1,6,3,3,6,1,3,3,1,1,1,1],[1,15,16,10,5,30,6,10,10,10,5,6,6,
6,5,10,6,5,1,1],[1,21,15,7,7,21,1,7,3,7,1,1,2,1,3,1,1],[1,27,16,9,60,18,24,30,
9,12,4,6,6,36,12,12,2,3,3,9,6,6,18,12,12,12,12,1,6,9,3,6,6,1,3,3,1],[1,15,24,
16,5,30,24,15,16,22,8,8,12,1,6,8,1,1,2,1],[1,9,12,4,27,18,12,4,12,9,9,9,1,12,
9,1,4,3,2,1,1,1,1],[1,35,5,60,30,16,20,15,60,16,1,15,15,5,1,1],[1,21,28,14,21,
28,8,21,14,8,14,1],[1,15,21,10,5,6,10,15,10,6,10,5,5,6,10,6,5,1,1],[1,27,64,9,
60,18,30,9,12,36,48,96,2,3,3,9,18,6,9,8,12,1,1],[1,27,16,9,60,18,48,30,9,12,
36,8,16,2,3,3,9,18,12,24,6,9,8,12,1,1],[1,27,16,9,60,18,48,30,9,12,36,20,16,2,
3,3,9,18,12,6,9,1,4,1,3,1],[1,9,12,24,4,27,12,36,9,1,4,8,1,12,9,4,3,4,1,1],[1,
15,16,5,30,16,15,20,16,1,1,1,1],[1,27,24,16,5,48,18,16,72,18,9,36,16,22,8,8,
12,1,9,9,16,18,12,3,8,1,1,2,1,3,1,1],[1,21,28,28,14,21,42,28,28,28,8,21,21,21,
14,28,8,21,8,14,8,1,1],[1,45,40,30,45,36,120,45,10,36,30,10,30,10,12,1],[1,15,
48,21,10,5,90,6,1,10,30,75,15,30,15,10,6,18,18,10,5,5,15,15,30,6,10,10,10,18,
5,15,6,6,6,5,10,1,6,5,3,1,1],[1,27,48,16,9,60,18,72,16,48,48,30,9,12,12,18,18,
36,36,36,8,16,48,48,2,3,3,9,18,18,18,36,36,36,36,12,16,24,3,6,9,9,18,18,8,12,
12,12,1,9,9,12,3,1,1],[1,27,16,64,9,60,18,24,64,30,9,12,4,6,6,36,12,12,48,96,
2,3,3,9,6,6,18,12,12,12,12,16,1,6,9,3,6,6,8,12,1,3,3,4,1,1,1],[1,9,36,12,24,4,
27,54,12,12,12,36,36,24,36,9,27,27,1,4,8,36,36,27,1,4,12,12,12,24,9,4,3,6,12,
9,4,4,4,1,3,3,4,3,1,1],[1,35,16,5,60,30,16,80,20,15,60,16,20,16,1,15,15,20,16,
5,1,1,5,1,1,1],[1,27,48,64,9,60,18,144,30,9,12,36,64,48,48,48,96,2,3,3,9,18,
12,48,6,9,48,2,8,16,12,12,1,6,8,1,1,2,1],[1,45,36,40,30,45,90,36,120,45,45,45,
10,36,36,36,30,45,10,36,30,10,12,10,1,1],[1,75,160,25,180,90,96,160,90,45,60,
180,96,160,360,6,15,15,45,90,120,30,45,30,60,16,48,5,6,10,6,5,1],[1,27,48,48,
64,9,60,18,72,16,48,144,192,30,9,12,12,18,18,36,36,36,64,48,48,48,48,96,48,2,
3,3,9,18,18,18,36,36,36,36,64,12,16,48,48,3,6,9,9,18,18,48,2,8,16,12,12,12,12,
1,9,9,16,6,12,12,3,8,1,1,2,1,3,1,1],[1,75,96,160,25,180,90,96,160,480,90,45,
60,180,160,96,140,160,160,360,96,6,15,15,45,90,160,60,180,120,96,30,45,160,6,
30,60,60,60,16,48,5,6,10,30,30,6,16,5,5,10,6,10,6,5,1,1],[1,315,1120,105,1260,
1890,2016,3360,960,630,945,1260,3780,280,2016,1680,5040,42,315,315,945,1890,
280,960,5040,630,945,840,420,1260,336,2016,105,280,252,420,252,360,105,168,42,
1],[1,315,336,1120,105,1260,1890,2520,2016,3360,1120,3360,960,630,945,1260,
420,630,630,3780,1260,1260,280,2016,2016,2016,1680,5040,3360,960,42,315,315,
945,630,630,1890,1260,1260,1260,1260,280,1120,2016,960,5040,1680,105,630,945,
315,630,630,840,560,960,420,1260,336,2016,105,315,315,280,280,280,252,420,420,
336,105,280,252,360,105,120,168,105,56,42,1,1],[1,315,336,960,1120,105,1260,
1890,2016,3360,5040,960,630,945,1260,3780,280,1120,2240,2016,840,1680,1680,
5040,2016,42,315,315,945,1890,280,3360,960,960,1920,1260,2520,5040,1120,2016,
630,945,840,1680,42,420,840,1260,1260,1120,336,2016,960,105,280,252,420,630,
420,252,360,336,105,105,210,280,252,420,168,252,105,42,42,1,1],[1,315,1008,
336,960,1120,105,1260,1890,7560,2016,336,3360,3360,5040,5040,6720,10080,960,
630,945,1260,1260,1890,1890,3780,3780,3780,280,1120,2240,2016,6048,6048,840,
1680,1680,5040,5040,5040,10080,2880,2016,42,315,315,945,1890,1890,1890,3780,
3780,3780,3780,280,1120,3360,3360,3360,6720,6048,960,960,1920,1260,1680,2520,
5040,5040,1120,2016,2016,2016,315,630,945,945,1890,1890,840,1680,1680,3360,
960,2880,42,420,840,1260,1260,1260,1260,1120,1120,1120,336,2016,2016,960,105,
945,945,280,840,840,1680,252,420,630,1260,1260,1120,1008,960,315,420,840,252,
360,336,105,105,210,280,252,420,360,168,336,105,315,280,252,105,168,42,105,42,
1,3,1,1]],
[1,2,2,3,3,3,4,4,4,4,5,6,6,6,6,6,6,6,7,8,8,8,8,8,8,8,8,8,9,9,9,10,10,10,12,12,
12,12,12,12,12,14,15,16,16,16,16,16,16,16,16,16,16,16,18,18,18,18,18,18,20,21,
21,21,24,24,24,24,24,27,30,30,30,32,32,32,32,32,32,36,36,36,36,42,42,48,48,48,
48,48,48,48,54,54,54,60,60,60,63,64,64,64,72,72,72,72,80,96,96,96,96,108,120,
126,128,144,144,160,168,180,192,192,192,216,240,288,336,360,360,384,384,432,
480,576,720,960,1152,2880,20160,40320,60480,120960],
[142,130,113,129,114,112,137,108,101,48,97,129,83,82,66,66,60,41,114,123,115,
110,111,101,101,79,78,79,132,112,95,97,61,61,116,106,106,66,68,66,41,85,97,
138,131,130,115,101,101,100,79,79,78,78,132,112,82,83,83,60,61,114,114,99,110,
106,88,68,69,112,97,97,97,131,123,115,115,101,101,117,106,104,83,114,85,138,
126,116,110,111,110,110,112,112,112,129,97,98,114,137,115,115,132,117,117,106,
133,126,123,110,111,112,113,114,131,126,117,133,127,129,137,137,134,132,133,
126,127,135,129,137,131,132,133,137,135,138,137,138,142,140,142,142],
[1,1,1,1,1,1,1,1,1,1,1,4,6,6,4,1,5,1,1,1,1,2,1,1,1,2,2,2,1,1,1,11,11,1,7,7,1,
4,8,4,6,19,1,1,1,2,2,2,1,2,9,9,9,9,29,30,6,6,4,5,11,1,19,19,22,4,7,39,7,6,11,
43,4,7,7,7,2,9,9,29,7,29,30,62,19,44,44,7,65,45,65,22,29,30,70,96,43,98,19,7,
21,21,55,55,29,37,44,87,44,65,45,70,96,62,45,44,80,107,119,96,100,100,44,103,
44,87,119,128,120,122,100,124,107,100,128,136,122,136,139,139,139,141],
[ ( 1,33)( 2,24)( 3,30)( 4,34)( 5,11)( 6,35)( 7,19)( 8,36)( 9,20)(10,17)
    (12,29)(13,15)(14,37)(16,21)(18,38)(22,25)(23,39)(26,40)(27,28)(31,32)
    (41,42), ( 1,36,31,11,27,15,24,19,17,25, 6,38, 9, 4,42,37,21,12, 3,23,40)
    ( 2,18,16,14,13, 7,20,39,26,41,10,28, 8,22,34,35,32,30,33, 5,29) ],
[[[[]]],[[[1,1,2,1],[2,1,3,2,1,1,2,1,1,1]]],[[[1,1]]],[[[1,1,2,1],[2,1,1,1],[
3,1,2,1,3,1,4,-2,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,1,3,-1,4,1,2,-1]]],[[[2,
2],[2,1,1,1,3,-2,2,-1,1,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-4,2,-1,3,
-1]],[[1,1,2,1],[2,1,1,1,2,-1],[4,1,3,1,4,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,
3,-1,4,1,2,1,3,2,4,1]],[[2,1,1,1],[2,1,3,-1,1,1,2,1],[3,1,4,1,3,1,4,-1]]],[[[
2,1,1,1,2,1,1,1]]],[[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1]],[[1,1,2,-1,1,1,2,1,1,
1]]],[[[1,1,2,1],[2,2,3,2,2,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,1,4,-1,3,1,
2,1,3,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1]]],[[[1,1,2,1],[1,1,2,-2],[4,
1,3,1,4,1,3,1]],[[1,1,2,1],[2,2,3,3,1,1,2,-1]]],[[[2,1,1,1],[1,1,2,-1,3,-1,1,
1,2,1,1,1,3,1]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]]],[[[2,1,1,1],[3,1,2,-2,1,1,
2,2,3,-1]],[[2,1,1,1],[3,1,1,1,2,1,3,-1,2,-1]]],[[[2,1,1,1],[3,2,2,2]]],[[[1,
1,2,1],[1,1,2,-1,3,1,1,1,3,-1,2,1,1,1]],[[2,1,1,1,2,-1]]],[[[1,1,2,-4]]],[[[2,
3]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-4,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1,2,
-1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,2,1,4,1,3,-1,4,
1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1,2,
-1],[4,1,3,1,4,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,2],[5,1,4,-2,5,-1]],[[2,1,1,
1],[2,1,1,1,2,1,3,1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,3,2,-1,3,
-1]],[[1,1,2,1],[2,1,1,1],[2,-1,3,-1,2,1,4,-1,3,-1,4,1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-2,4,-1,3,2,4,1]]],[[[2,1,1,1]]],[[[1,1,2,2]]],[[[1,1,2,1],[1,1,2,
-2],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[1,1,2,-1,3,2,1,1,2,-1]]],[[[1,1,2,1],[2,1,
1,1],[1,1,2,-2,4,-1,3,2,4,1]],[[1,1,2,-1,1,1,2,1,1,1]]],[[[1,1,2,1],[3,2,2,1,
1,1,2,-1,3,-2]],[[1,1,2,1],[1,1,2,-2],[4,1,3,-2,4,-1]]],[[[1,1,2,1],[2,1,1,
1],[4,1,2,1,4,1,3,1,2,1,4,-1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,
1,2,2,3,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,2,2,1,4,1,3,1]],[[1,1,2,
1],[2,1,1,1],[3,1,2,1,4,-3,3,-2,2,-1]]],[[[1,1,2,1],[1,1,2,-2,3,-1,2,1,3,1,1,
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LIBTOM( "L3(4).6",
[[1],[1,2],[1,3],[1,4],[1,5],[1,6],[1,3,7],[1,3,8],[1,3,9],[1,2,3,10],[1,3,
11],[1,12],[1,2,6,13],[1,2,4,14],[1,2,6,15],[1,3,6,16],[1,3,4,17],[1,2,5,18],[
1,19],[1,3,7,8,20],[1,3,7,11,21],[1,3,11,22],[1,2,3,7,9,10,23],[1,3,9,11,24],[
1,2,3,10,11,25],[1,2,3,9,10,11,26],[1,3,8,11,27],[1,3,11,28],[1,6,29],[1,4,6,
30],[1,5,6,31],[1,3,12,32],[1,3,4,7,33],[1,3,4,7,17,34],[1,3,6,7,35],[1,2,3,6,
10,13,15,16,36],[1,3,6,8,37],[1,3,4,9,17,38],[1,2,3,4,10,14,17,39],[1,2,19,
40],[1,4,12,41],[1,3,7,8,20,42],[1,3,7,11,21,43],[1,3,7,11,21,22,44],[1,3,7,8,
11,20,21,27,45],[1,2,3,9,10,11,22,24,26,46],[1,2,3,9,10,11,22,25,26,47],[1,3,
7,8,11,20,21,48],[1,3,7,11,21,28,49],[1,2,3,7,9,10,11,21,23,24,25,26,50],[1,3,
8,9,11,24,27,28,51],[1,2,3,8,10,11,25,27,28,52],[1,3,6,16,29,53],[1,2,6,15,29,
54],[1,2,6,13,29,55],[1,2,4,6,13,14,30,56],[1,2,5,6,13,18,31,57],[1,2,4,6,14,
15,30,58],[1,3,4,6,16,17,30,59],[1,3,9,12,32,60],[1,5,19,61],[1,5,19,62],[1,5,
19,63],[1,6,19,64],[1,3,4,11,17,22,65],[1,2,3,6,7,9,10,15,23,35,66],[1,3,4,7,
8,17,20,33,67],[1,2,3,4,7,9,10,14,17,23,34,38,39,68],[1,3,6,8,11,16,27,37,
69],[1,4,5,6,29,30,31,70],[1,3,4,12,17,32,41,71],[1,2,3,7,9,10,11,21,22,23,24,
25,26,44,46,47,50,72],[1,3,7,8,11,20,21,27,42,45,48,73],[1,3,7,11,21,22,28,44,
49,74],[1,3,7,8,11,20,21,22,27,43,44,45,48,75],[1,2,3,7,9,10,11,21,23,24,25,
26,28,43,49,50,76],[1,2,3,7,8,9,10,11,20,21,23,24,25,26,27,28,45,49,50,51,52,
77],[1,2,3,6,10,13,15,16,29,36,53,54,55,78],[1,3,6,11,16,29,53,79],[1,3,6,9,
16,29,53,80],[1,3,4,6,7,17,30,33,34,35,81],[1,2,3,4,6,10,13,14,15,16,17,30,36,
39,56,58,59,82],[1,2,5,18,19,40,62,83],[1,2,6,13,19,40,64,84],[1,2,5,18,19,40,
63,85],[1,2,5,18,19,40,61,86],[1,3,4,7,8,20,33,42,87],[1,3,6,7,8,20,35,37,42,
88],[1,3,4,7,8,17,20,33,34,42,67,89],[1,2,3,4,9,10,11,17,22,25,26,38,47,65,
90],[1,2,3,4,9,10,11,14,17,22,24,26,39,46,65,91],[1,3,6,7,11,21,35,43,92],[1,
3,4,7,11,17,21,22,34,44,65,93],[1,2,4,5,6,14,15,29,30,31,54,58,70,94],[1,3,4,
5,6,16,17,29,30,31,53,59,70,95],[1,2,4,5,6,13,14,18,29,30,31,55,56,57,70,96],[
1,3,6,7,12,16,32,35,97],[1,3,6,8,12,16,32,37,98],[1,3,4,9,12,17,32,38,41,60,
71,99],[1,5,6,19,31,61,62,63,64,100],[1,3,7,8,11,20,21,22,27,42,43,44,45,48,
73,75,101],[1,3,7,8,11,20,21,22,27,28,43,44,45,48,49,74,75,102],[1,2,3,7,8,9,
10,11,20,21,22,23,24,25,26,27,28,43,44,45,46,47,48,49,50,51,52,72,74,75,76,77,
103],[1,3,6,11,16,22,29,53,79,104],[1,2,3,6,9,10,11,13,15,16,26,29,36,53,54,
55,78,79,80,105],[1,3,6,9,11,16,24,29,53,79,80,106],[1,2,3,4,6,7,9,10,14,15,
17,23,30,33,34,35,38,39,58,66,68,81,107],[1,3,7,8,12,20,42,108],[1,3,6,7,8,11,
16,20,21,27,35,37,42,45,48,69,73,88,109],[1,3,4,7,8,11,17,20,21,27,33,42,45,
48,67,73,87,110],[1,2,3,4,7,9,10,11,14,17,21,22,23,24,25,26,34,38,39,44,46,47,
50,65,68,72,90,91,93,111],[1,2,3,6,7,9,10,11,15,21,23,24,25,26,28,35,43,49,50,
66,76,92,112],[1,2,3,4,5,6,10,13,14,15,16,17,18,29,30,31,36,39,53,54,55,56,57,
58,59,70,78,82,94,95,96,113],[1,2,3,6,7,9,10,12,13,15,16,23,32,35,36,60,66,97,
114],[1,2,5,6,13,18,19,31,40,57,61,62,63,64,83,84,85,86,100,115],[1,2,3,7,8,9,
10,11,20,21,22,23,24,25,26,27,28,42,43,44,45,46,47,48,49,50,51,52,72,73,74,75,
76,77,101,102,103,116],[1,2,3,6,9,10,11,13,15,16,22,24,26,29,36,46,53,54,55,
78,79,80,104,105,106,117],[1,3,4,6,7,8,17,20,30,33,34,35,37,42,67,81,87,88,89,
118],[1,3,7,8,11,12,20,21,27,32,42,45,48,73,108,119],[1,3,6,8,11,16,19,27,37,
64,69,120],[1,3,4,6,7,12,16,17,30,32,33,34,35,41,59,71,81,97,121],[1,3,4,7,8,
11,17,20,21,22,27,33,34,42,43,44,45,48,65,67,73,75,89,93,101,122],[1,3,6,7,8,
11,20,21,22,27,35,37,42,43,44,45,48,73,75,88,92,101,123],[1,3,4,7,8,11,17,20,
21,22,27,33,34,42,43,44,45,48,67,73,75,87,89,101,110,124],[1,3,4,5,6,11,16,17,
22,29,30,31,53,59,65,70,79,95,104,125],[1,3,4,7,8,12,20,33,41,42,87,108,126],[
1,3,4,6,7,8,11,16,17,20,21,27,30,33,34,35,37,42,45,48,59,67,69,73,81,87,88,89,
109,110,118,127],[1,2,3,6,8,10,11,13,15,16,19,25,27,28,36,37,40,52,64,69,84,
120,128],[1,3,6,8,11,12,16,27,29,32,37,53,69,79,98,129],[1,2,3,4,6,7,9,10,12,
13,14,15,16,17,23,30,32,33,34,35,36,38,39,41,56,58,59,60,66,68,71,81,82,97,99,
107,114,121,130],[1,2,3,6,7,8,9,10,11,15,20,21,22,23,24,25,26,27,28,35,37,42,
43,44,45,46,47,48,49,50,51,52,66,72,73,74,75,76,77,88,92,101,102,103,112,116,
123,131],[1,2,3,4,7,8,9,10,11,14,17,20,21,22,23,24,25,26,27,28,33,34,38,39,42,
43,44,45,46,47,48,49,50,51,52,65,67,68,72,73,74,75,76,77,89,90,91,93,101,102,
103,111,116,122,132],[1,2,3,4,5,6,9,10,11,13,14,15,16,17,18,22,24,26,29,30,31,
36,39,46,53,54,55,56,57,58,59,65,70,78,79,80,82,91,94,95,96,104,105,106,113,
117,125,133],[1,3,4,7,8,11,12,17,20,21,27,32,33,41,42,45,48,67,71,73,87,108,
110,119,126,134],[1,3,4,6,7,8,11,17,20,21,22,27,30,33,34,35,37,42,43,44,45,48,
65,67,73,75,81,87,88,89,92,93,101,110,118,122,123,124,135],[1,3,6,8,9,11,12,
16,24,27,28,29,32,37,51,53,60,69,79,80,98,106,129,136],[1,3,6,7,8,11,12,16,20,
21,22,27,32,35,37,42,43,44,45,48,69,73,75,88,92,97,98,101,108,109,119,123,
137],[1,2,3,4,6,7,8,9,10,11,14,15,17,20,21,22,23,24,25,26,27,28,30,33,34,35,
37,38,39,42,43,44,45,46,47,48,49,50,51,52,58,65,66,67,68,72,73,74,75,76,77,81,
87,88,89,90,91,92,93,101,102,103,107,110,111,112,116,118,122,123,124,131,132,
135,138],[1,3,4,6,7,8,11,12,16,17,20,21,22,27,30,32,33,34,35,37,41,42,43,44,
45,48,59,65,67,69,71,73,75,81,87,88,89,92,93,97,98,101,108,109,110,118,119,
121,122,123,124,126,127,134,135,137,139],[1,3,6,7,8,11,12,16,19,20,21,22,27,
29,32,35,37,42,43,44,45,48,53,64,69,73,75,79,88,92,97,98,101,104,108,109,119,
120,123,129,137,140],[1,2,3,6,7,8,9,10,11,12,13,15,16,19,20,21,22,23,24,25,26,
27,28,29,32,35,36,37,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,60,64,66,69,
72,73,74,75,76,77,78,79,80,84,88,92,97,98,101,102,103,104,105,106,108,109,112,
114,116,117,119,120,123,128,129,131,136,137,140,141],[1,3,4,5,6,7,8,11,12,16,
17,19,20,21,22,27,29,30,31,32,33,34,35,37,41,42,43,44,45,48,53,59,61,62,63,64,
65,67,69,70,71,73,75,79,81,87,88,89,92,93,95,97,98,100,101,104,108,109,110,
118,119,120,121,122,123,124,125,126,127,129,134,135,137,139,140,142],[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]],
0,[[1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,3,1],[1,3,1],[1,1,1],[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],[1,1,1,1],[1,1,1,1],[1,1],[1,
7,1,6,1],[1,3,1,2,1],[1,1,3,1],[1,2,3,1,1,1,1],[1,1,2,1,1],[1,4,1,2,1,1],[1,2,
1,1,1,1,1],[1,5,2,1,1],[1,1,1,1],[1,4,1],[1,3,1,1],[1,3,1,1],[1,5,1,1],[1,3,4,
1,1],[1,3,1,1,3,1],[1,3,4,1,1],[1,4,3,1,3,1,1,1,1],[1,3,4,1,1],[1,1,1,1,1,1],[
1,2,1,1,1,2,1,1],[1,7,1,1],[1,1,1,1],[1,15,5,30,15,1],[1,3,1,6,3,1],[1,3,1,6,
3,4,1],[1,11,1,12,2,2,1,4,1],[1,2,1,3,1,3,1,3,3,1],[1,6,1,1,3,3,1,3,3,1],[1,7,
1,6,4,1,2,1],[1,3,1,2,1,2,1],[1,4,3,1,2,2,2,1,2,1,1,2,1],[1,5,2,2,1,1,1,1,1],[
1,4,5,2,2,1,1,1,1,1],[1,9,4,12,1,1],[1,9,4,12,1,1],[1,1,4,4,1,1],[1,1,3,1,1,3,
1,1],[1,1,3,1,1,3,1,1],[1,3,3,1,3,1,1,1],[1,3,3,1,1,3,1,1],[1,5,5,1,1,1],[1,7,
1,1],[1,1,1,1],[1,7,1,1],[1,7,1,1],[1,1,4,3,4,1,1],[1,6,3,4,1,3,3,4,3,1,1],[1,
7,4,1,6,4,1,1,1],[1,2,3,1,1,1,1,2,3,1,1,1,1,1],[1,9,4,4,3,4,3,1,1],[1,3,6,4,1,
1,2,1],[1,5,1,1,5,1,1,1],[1,8,3,1,4,4,6,3,4,4,6,6,12,1,4,4,6,1],[1,19,5,36,6,
16,3,12,1,3,3,1],[1,3,1,6,3,4,4,1,2,1],[1,11,1,12,10,2,5,4,4,1,1,1,4,1],[1,4,
3,1,2,2,6,3,2,1,1,2,2,1,1,1,1],[1,4,11,1,12,2,2,2,2,1,2,1,1,2,4,2,1,1,1,2,2,
1],[1,10,9,4,9,4,12,12,1,12,1,1,1,1],[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],[1,4,3,3,1,3,1,6,1,1,3,1,1,3,1,1,1,1],[1,7,1,7,1,1,1,1],[
1,7,7,7,1,1,1,1],[1,7,7,7,1,1,1,1],[1,7,7,7,1,1,1,1],[1,15,16,5,30,15,20,1,
1],[1,15,16,5,30,15,8,12,1,1],[1,15,4,5,30,12,15,1,4,1,3,1],[1,6,1,4,1,3,3,4,
1,3,3,4,1,1,1],[1,2,1,4,3,1,3,8,4,1,3,3,4,1,1,1],[1,3,16,1,6,3,4,1,1],[1,3,4,
1,6,12,3,4,4,1,1,1],[1,9,3,6,4,9,12,1,1,2,1,3,1,1],[1,9,3,6,4,12,9,1,1,2,1,3,
1,1],[1,1,3,6,4,4,3,6,1,1,2,1,1,2,1,1],[1,15,10,5,6,10,6,5,1],[1,15,10,5,6,10,
6,5,1],[1,5,1,5,1,5,1,5,1,1,1,1],[1,15,7,1,7,1,1,1,1,1],[1,27,9,60,18,30,9,12,
36,2,3,3,9,18,6,9,1],[1,11,1,12,10,2,5,4,4,8,1,1,1,4,4,2,1,1],[1,8,11,1,12,4,
4,10,2,5,4,4,6,6,12,4,4,1,1,1,4,4,4,2,6,4,4,1,1,1,2,2,1],[1,9,4,27,12,9,1,1,3,
1],[1,10,9,4,9,9,9,4,12,12,9,1,12,1,1,1,1,1,1,1],[1,9,4,18,9,12,9,1,1,1,2,1],[
1,6,3,9,4,1,3,3,6,4,3,3,4,2,1,1,3,3,4,1,3,1,1],[1,15,5,30,16,15,1,1],[1,27,16,
5,48,18,16,18,9,36,8,12,1,9,9,12,3,1,1],[1,19,16,5,36,6,16,16,3,12,20,1,3,3,4,
1,1,1],[1,8,3,4,1,4,4,6,8,12,3,4,4,6,6,12,4,4,4,1,4,4,6,1,4,1,1,1,1,1],[1,12,
3,16,1,6,6,6,16,3,6,3,3,6,6,4,1,3,3,4,3,1,1],[1,10,9,3,6,4,9,4,12,12,12,9,6,1,
1,2,12,9,1,1,1,1,2,3,3,1,1,3,1,1,1,1],[1,10,15,10,5,15,15,6,10,10,10,15,6,5,
10,6,5,1,1],[1,7,15,7,7,21,1,7,1,7,1,1,1,1,1,1,1,1,1,1],[1,8,27,9,60,4,4,18,
30,9,12,4,6,6,12,36,12,2,3,3,9,4,4,18,6,6,12,12,1,6,3,9,6,6,1,3,3,1],[1,10,9,
4,27,9,27,4,12,12,9,27,27,1,12,9,1,1,1,1,3,3,1,3,3,1],[1,15,24,16,5,30,24,15,
16,22,8,8,12,1,6,8,1,1,2,1],[1,35,5,60,30,16,20,15,60,16,1,15,15,5,1,1],[1,21,
28,14,21,28,8,21,14,8,14,1],[1,15,21,10,5,6,10,15,10,6,10,5,5,6,10,6,5,1,1],[
1,27,16,9,60,18,48,30,9,12,36,8,16,2,3,3,9,18,12,24,6,9,8,12,1,1],[1,27,64,9,
60,18,30,9,12,36,48,96,2,3,3,9,18,6,9,8,12,1,1],[1,27,16,9,60,18,48,30,9,12,
36,20,16,2,3,3,9,18,12,6,9,1,4,1,3,1],[1,9,12,24,4,27,12,36,9,1,4,8,1,12,9,4,
3,4,1,1],[1,15,16,5,30,16,15,20,16,1,1,1,1],[1,27,24,16,5,48,18,16,72,18,9,36,
16,22,8,8,12,1,9,9,16,18,12,3,8,1,1,2,1,3,1,1],[1,28,21,28,14,42,21,28,28,28,
8,21,21,21,28,14,8,21,8,14,8,1,1],[1,45,40,30,45,36,120,45,10,36,30,10,30,10,
12,1],[1,10,15,21,10,5,15,15,6,10,30,10,10,15,15,10,6,10,5,5,10,15,15,6,10,10,
10,6,5,15,6,5,10,1,6,5,1,1,1],[1,24,27,64,9,60,12,12,18,64,30,9,12,12,18,18,
36,36,36,48,96,2,3,3,9,12,12,18,18,18,36,36,16,3,6,9,9,18,18,8,12,1,9,9,12,3,
1,1],[1,8,27,16,9,60,4,4,18,32,48,30,9,12,4,6,6,12,36,12,8,16,16,16,2,3,3,9,4,
4,18,6,6,12,12,12,24,16,1,6,3,9,6,6,8,4,4,12,1,3,3,4,1,1,1],[1,10,9,12,24,4,
27,9,27,4,48,12,12,36,24,9,27,27,1,4,8,12,36,9,1,1,1,4,8,12,12,9,4,1,3,3,12,9,
4,4,4,1,3,3,4,1,1,1],[1,35,16,5,60,30,16,80,20,15,60,16,20,16,1,15,15,20,16,5,
1,1,5,1,1,1],[1,27,48,64,9,60,18,144,30,9,12,36,64,48,48,48,96,2,3,3,9,18,12,
48,6,9,48,2,8,16,12,12,1,6,8,1,1,2,1],[1,45,40,30,90,45,36,120,45,45,45,10,36,
30,45,10,36,30,10,20,12,10,1,1],[1,75,160,25,180,90,96,160,90,45,60,180,96,
160,360,6,15,15,45,90,120,30,45,30,60,16,48,5,6,10,6,5,1],[1,24,27,48,64,9,60,
12,12,18,96,64,144,30,9,12,12,18,18,36,36,36,64,48,48,48,96,48,48,2,3,3,9,12,
12,18,18,18,36,36,64,12,16,48,48,3,6,9,9,18,18,48,2,8,16,12,12,12,12,1,9,9,16,
6,12,12,3,8,1,1,2,1,3,1,1],[1,75,96,160,25,180,90,96,160,480,90,45,60,180,160,
96,140,160,160,360,96,6,15,15,45,90,160,60,180,120,96,30,45,160,6,30,60,60,60,
16,48,5,6,10,30,30,6,16,5,5,10,6,10,6,5,1,1],[1,315,1120,105,1260,1890,2016,
3360,960,630,945,1260,3780,280,2016,1680,5040,42,315,315,945,1890,280,960,
5040,630,945,840,420,1260,336,2016,105,280,252,420,252,360,105,168,42,1],[1,
280,315,1120,105,1260,1260,1260,1890,2016,1120,3360,3360,960,630,945,1260,
1260,1890,1890,3780,3780,3780,280,2016,1680,3360,5040,960,42,315,315,945,1260,
1260,1890,1890,1890,3780,3780,280,280,280,2016,960,1680,5040,315,630,945,945,
1890,1890,280,840,840,960,420,1260,336,2016,105,945,945,280,840,840,252,420,
1260,336,315,280,252,360,105,360,168,105,168,42,1,1],[1,315,336,960,1120,105,
1260,1890,2016,3360,5040,960,630,945,1260,3780,280,1120,2240,2016,840,1680,
1680,5040,2016,42,315,315,945,1890,280,3360,960,960,960,960,1260,2520,5040,
1120,2016,630,945,840,1680,42,420,840,1260,1260,1120,336,2016,960,105,280,252,
420,630,420,252,360,336,105,105,210,280,252,420,168,252,105,42,42,1,1],[1,280,
315,336,960,1120,105,1260,1260,1260,1890,2016,1120,3360,3360,3360,5040,6720,
960,630,945,1260,1260,1890,1890,3780,3780,3780,280,1120,2240,2016,840,1680,
1680,3360,5040,5040,5040,960,2016,42,315,315,945,1260,1260,1890,1890,1890,
3780,3780,280,280,280,1120,2240,3360,3360,2016,960,960,960,960,1260,1680,2520,
5040,5040,1120,2016,315,630,945,945,1890,1890,280,840,840,1680,3360,960,960,
960,960,42,420,840,1260,1260,1260,1260,1120,1120,1120,336,2016,2016,960,105,
945,945,280,840,840,1680,252,420,630,1260,1260,1120,336,960,315,280,420,252,
360,336,105,105,210,280,252,420,360,168,336,105,315,280,252,105,168,42,105,42,
1,1,1,1]],
[1,2,2,3,3,3,4,4,4,4,4,5,6,6,6,6,6,6,7,8,8,8,8,8,8,8,8,8,9,9,9,10,12,12,12,12,
12,12,12,14,15,16,16,16,16,16,16,16,16,16,16,16,18,18,18,18,18,18,18,20,21,21,
21,21,24,24,24,24,24,27,30,32,32,32,32,32,32,36,36,36,36,36,42,42,42,42,48,48,
48,48,48,48,48,54,54,54,60,60,60,63,64,64,64,72,72,72,72,80,96,96,96,96,108,
120,126,128,144,144,160,168,180,192,192,192,216,240,288,336,360,360,384,384,
432,480,576,720,960,1152,2880,20160,40320,60480,120960],
[143,133,132,130,115,113,138,109,111,111,103,99,113,82,82,82,68,57,115,124,
116,111,111,103,103,72,77,77,133,113,96,99,118,107,107,82,69,68,68,115,99,139,
131,132,116,111,111,101,103,103,77,77,133,133,133,113,96,82,82,99,115,115,115,
115,111,107,89,68,69,113,99,132,124,116,116,103,103,133,117,117,107,82,115,
115,115,115,139,127,118,111,111,112,111,113,113,113,130,98,99,115,138,116,116,
133,117,117,107,134,127,124,111,112,113,130,115,132,133,127,134,128,130,138,
138,135,133,134,127,128,136,130,138,132,133,134,138,136,139,138,139,143,143,
143,143],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,6,6,1,1,1,1,1,3,3,3,3,1,3,1,1,1,1,12,7,1,7,6,8,1,
1,19,1,1,1,3,3,3,3,3,3,3,11,11,29,29,1,1,1,6,6,12,19,1,19,19,22,35,7,3,37,6,
12,3,7,7,7,11,11,29,29,29,7,6,19,19,19,19,42,42,7,22,22,43,22,29,29,6,97,98,
12,19,7,21,21,53,29,53,35,42,88,42,22,92,29,97,19,44,53,42,108,120,97,101,101,
42,104,42,88,120,129,97,123,101,104,108,101,129,137,123,137,140,140,140,140],
[(  3, 67)(  4, 74)(  5, 68)(  6, 56)(  7, 90)(  8, 72)(  9, 70)( 10, 34)
( 11, 99)( 12, 66)( 13, 84)( 14,102)( 15, 49)( 16, 35)( 17,101)( 18, 92)
( 19, 53)( 20, 41)( 21, 78)( 22,103)( 23, 63)( 24, 50)( 25, 51)( 26, 94)
( 27, 80)( 28, 97)( 29, 75)( 30, 31)( 32, 86)( 33, 65)( 36, 40)( 37, 62)
( 39, 61)( 43, 96)( 45, 71)( 46, 93)( 48, 83)( 52, 82)( 54, 85)( 57, 81)
( 58,104)( 59, 88)( 60, 87)( 64, 69)( 73, 77)( 89, 98)( 91,105)( 95,100),
(  1, 89, 90, 52, 75, 19)(  2, 86,  3, 56, 53, 65)(  4, 46)(  5, 26, 69, 99,
  34, 13)(  6, 14,105, 84, 15, 10)(  7, 66, 58, 55, 73,  8)(  9, 49)
( 11, 36, 54, 78, 68, 30)( 12, 45, 98, 44,101, 35)( 16, 51, 23, 40, 77, 97)
( 17, 91, 57, 41, 47, 37)( 18, 33)( 20, 74, 32)( 21, 22, 50, 29, 92, 60)
( 24, 70, 25)( 27, 31)( 28, 62)( 38, 43, 82, 71, 61, 87)( 39,100, 88, 83, 72,
  93)( 42, 81, 96, 59,104, 67)( 48, 76, 95,103, 80, 63)( 79,102)],
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LIBTOM( "L3(4).D12",
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44,49,50,52,56,57,60,99,102,112,115,118,125,128,198],[1,2,3,5,9,10,12,15,16,
17,39,40,41,45,46,47,49,50,53,57,58,103,104,110,115,123,124,131,199],[1,3,4,5,
11,12,13,15,16,17,40,42,43,45,46,48,51,55,56,57,59,106,107,113,117,129,130,
131,200],[1,2,3,4,10,13,15,16,17,41,43,44,46,49,52,54,58,60,102,105,111,118,
123,127,132,201],[1,3,9,16,39,57,58,59,60,108,109,110,202],[1,3,4,9,13,16,37,
39,44,51,52,57,58,93,96,110,127,128,203],[1,2,3,4,5,10,12,13,14,15,16,38,41,
44,45,50,52,56,58,60,94,99,111,124,125,126,127,204],[1,3,5,9,12,16,17,39,40,
46,50,53,60,92,103,108,205],[1,2,3,9,10,15,16,39,41,45,47,49,59,92,104,109,
206],[1,3,5,9,12,16,17,39,40,44,46,50,53,60,93,103,108,125,132,207],[1,2,3,4,
10,13,15,16,17,41,43,44,45,46,52,54,57,60,94,105,112,126,128,131,132,208],[1,
2,3,8,10,21,24,28,61,75,133,134,137,209],[1,2,4,5,6,8,14,22,23,25,26,28,29,62,
73,81,135,136,138,210],[1,3,8,16,24,61,134,211],[1,3,8,15,24,61,134,212],[1,3,
4,8,13,22,24,33,61,80,134,141,213],[1,3,5,8,12,24,25,32,61,83,134,140,214],[1,
2,4,5,6,8,14,19,21,23,25,29,33,62,74,84,136,142,144,215],[1,2,4,5,8,14,21,22,
25,32,33,61,82,84,133,140,141,216],[1,3,4,6,8,13,19,22,24,26,30,33,62,77,80,
135,143,144,217],[1,3,5,6,8,12,23,24,25,30,32,62,76,83,136,143,145,218],[1,2,
4,5,6,8,14,21,22,23,26,29,32,62,81,82,135,142,145,219],[1,3,6,8,9,30,62,67,68,
70,220],[1,2,4,5,6,8,14,19,23,28,29,32,33,62,72,74,138,144,145,221],[1,2,3,6,
8,10,21,24,28,29,30,62,71,75,138,142,143,222],[1,2,4,5,8,14,22,25,28,32,33,61,
72,73,137,140,141,223],[1,2,4,5,7,8,14,20,27,28,31,32,33,63,72,79,139,146,147,
224],[1,3,4,13,15,17,18,43,64,65,66,148,149,150,225],[1,4,7,27,34,88,151,
226],[1,5,7,20,34,89,151,227],[1,2,7,31,34,87,151,228],[1,2,8,28,34,87,152,
229],[1,2,7,31,34,87,153,230],[1,4,8,33,34,88,152,231],[1,5,8,32,34,89,152,
232],[1,3,6,9,11,35,67,91,233],[1,3,8,9,11,35,68,69,91,234],[1,3,6,9,11,30,35,
67,70,91,163,235],[1,3,6,9,16,30,39,44,70,93,154,236],[1,2,3,6,10,15,16,29,30,
41,44,45,71,94,154,237],[1,3,6,16,17,30,44,46,60,85,132,154,238],[1,3,8,9,16,
39,68,92,239],[1,3,4,6,13,16,19,26,30,44,52,58,77,127,154,240],[1,3,5,6,12,16,
23,30,44,50,60,76,125,154,241],[1,3,4,6,13,16,26,30,44,52,57,78,128,154,242],[
1,2,3,6,10,15,16,30,41,44,49,86,102,154,243],[1,3,5,6,9,11,12,17,23,30,35,36,
42,53,55,67,76,100,158,163,244],[1,2,3,4,5,8,9,10,12,13,14,15,17,21,25,33,37,
38,43,47,53,54,56,68,84,101,155,159,165,245],[1,3,5,8,11,12,16,17,24,25,32,36,
40,48,50,55,69,83,98,156,157,164,246],[1,3,6,9,11,17,30,35,42,67,85,122,163,
247],[1,2,3,4,5,6,9,10,12,13,14,15,17,19,23,26,29,30,37,38,43,47,53,54,56,70,
71,74,76,77,78,81,85,86,101,160,161,166,167,168,169,170,248],[1,2,6,7,8,28,29,
31,61,62,63,137,138,139,171,249],[1,4,6,7,8,22,26,33,61,62,63,135,141,171,
250],[1,2,6,7,8,21,29,61,62,63,133,142,171,251],[1,5,6,7,8,23,25,32,61,62,63,
136,140,171,252],[1,3,6,7,8,24,30,61,62,63,134,143,171,253],[1,4,6,7,8,19,22,
27,33,61,62,63,141,144,147,171,254],[1,5,6,7,8,20,23,25,32,61,62,63,140,145,
146,171,255],[1,3,8,9,18,24,64,68,256],[1,3,8,11,18,24,64,69,257],[1,3,6,17,
18,30,64,85,90,149,173,258],[1,3,4,6,13,18,19,26,30,64,65,66,77,90,150,173,
174,175,259],[1,3,6,15,18,30,64,86,90,148,173,260],[1,7,8,34,63,151,152,153,
261],[1,3,9,11,16,35,39,44,48,91,92,93,95,121,178,180,262],[1,3,5,9,11,12,16,
17,35,36,39,40,42,44,46,48,50,53,55,60,92,93,95,98,100,103,106,108,121,125,
132,180,181,185,205,207,263],[1,3,9,11,16,17,35,39,42,44,48,92,93,95,121,122,
180,191,264],[1,3,9,11,16,35,39,44,48,57,58,92,93,95,110,121,180,184,265],[1,
3,4,9,11,13,16,35,37,39,44,48,51,52,57,58,92,93,95,96,110,116,117,121,127,128,
176,180,184,187,203,266],[1,2,3,9,10,11,15,16,35,39,41,44,45,47,48,49,59,92,
93,94,95,102,104,109,119,121,130,177,180,183,193,206,267],[1,3,9,11,16,35,39,
44,48,59,92,93,95,109,121,180,183,268],[1,2,3,4,5,9,10,11,12,13,14,15,16,17,
35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,95,96,
97,98,99,100,101,103,104,105,106,107,109,110,113,114,115,116,117,119,120,123,
124,129,130,131,185,186,187,188,189,193,195,196,197,199,200,269],[1,2,3,4,5,9,
10,12,13,14,15,16,17,37,38,39,40,41,43,45,46,47,49,50,51,52,53,54,56,59,60,92,
96,97,99,101,103,104,105,107,108,109,118,120,126,129,176,182,186,194,195,205,
206,270],[1,2,3,4,9,10,11,13,15,16,35,37,39,41,45,47,48,49,51,52,57,58,59,60,
95,96,104,108,109,110,111,112,116,117,118,119,126,130,181,182,187,190,193,194,
202,271],[1,3,9,11,16,17,35,39,42,48,60,91,95,108,121,122,178,181,191,272],[1,
3,5,9,11,12,16,17,35,36,39,40,42,46,48,50,53,55,91,95,98,100,103,106,121,122,
178,179,185,191,192,273],[1,2,3,5,9,10,12,15,16,17,39,40,41,45,46,47,49,50,53,
57,58,59,60,92,103,104,108,109,110,111,112,113,114,115,123,124,131,184,189,
190,199,202,205,206,274],[1,2,3,4,5,9,10,12,13,14,15,16,17,37,38,39,40,41,43,
44,45,46,47,49,50,51,52,53,54,56,57,58,60,93,94,96,97,99,101,102,103,104,105,
107,108,110,111,112,115,118,123,124,125,126,127,128,131,132,177,186,190,194,
198,199,201,203,204,207,208,275],[1,3,4,5,9,12,13,16,17,37,39,40,44,46,50,51,
52,53,57,58,59,60,93,96,103,108,109,110,113,114,120,125,127,128,129,132,182,
183,189,195,202,203,207,276],[1,3,8,16,24,44,61,134,211,277],[1,3,8,15,16,24,
45,61,134,211,212,278],[1,2,3,8,10,15,16,21,24,28,41,61,75,133,134,137,209,
211,212,279],[1,3,8,16,24,58,61,134,211,280],[1,3,8,16,24,60,61,134,211,281],[
1,3,5,8,12,16,24,25,32,50,61,83,134,140,211,214,282],[1,3,4,8,13,16,22,24,33,
52,61,80,134,141,211,213,283],[1,3,4,5,8,12,13,15,22,24,25,32,33,56,61,80,83,
134,140,141,212,213,214,284],[1,2,3,6,8,9,10,15,21,29,30,47,62,67,68,70,71,86,
142,155,169,220,285],[1,2,3,4,5,8,10,12,13,14,21,22,24,25,28,32,33,38,61,72,
73,75,80,82,83,84,133,134,137,140,141,162,209,213,214,216,223,286],[1,2,3,4,5,
6,8,10,12,13,14,19,21,22,23,24,25,26,28,29,30,32,33,38,62,71,72,73,74,75,76,
77,80,81,82,83,84,135,136,138,142,143,144,145,161,162,210,215,217,218,219,221,
222,287],[1,3,4,6,8,9,13,19,26,30,33,37,62,67,68,70,77,78,144,160,165,220,
288],[1,3,5,6,8,9,12,17,23,25,30,53,62,67,68,70,76,85,136,158,159,166,220,
289],[1,3,9,11,18,35,91,290],[1,2,4,5,7,14,20,27,31,34,79,87,88,89,151,172,
226,227,228,291],[1,2,4,5,8,14,28,32,33,34,72,87,88,89,152,172,229,231,232,
292],[1,3,5,6,9,11,12,17,23,35,36,42,53,55,67,91,100,122,158,179,233,293],[1,
3,8,9,11,16,24,35,39,48,68,69,91,95,121,156,178,234,294],[1,3,5,8,9,11,12,17,
25,35,36,42,53,55,68,69,91,100,122,157,159,179,234,295],[1,3,6,9,11,16,30,35,
39,48,67,91,95,121,163,178,233,296],[1,3,5,8,9,11,12,17,32,35,36,42,53,55,68,
69,91,100,122,164,179,234,297],[1,2,3,6,9,10,15,16,29,30,39,41,44,45,47,49,70,
71,86,93,94,102,104,154,169,177,236,237,243,298],[1,2,3,4,6,10,13,15,16,17,26,
29,30,41,43,44,45,46,52,54,57,60,71,78,85,94,105,112,126,128,131,132,154,167,
208,237,238,242,299],[1,3,5,6,9,12,16,17,23,30,39,40,44,46,50,53,60,70,76,85,
93,103,108,125,132,154,166,207,236,238,241,300],[1,3,5,8,9,12,16,17,25,39,40,
46,50,53,60,68,92,103,108,159,205,239,301],[1,2,3,8,9,10,15,16,21,39,41,45,47,
49,59,68,92,104,109,155,206,239,302],[1,3,4,8,9,13,16,33,37,39,51,52,68,92,96,
165,176,239,303],[1,3,4,6,9,13,16,19,26,30,37,39,44,51,52,57,58,70,77,78,93,
96,110,127,128,154,160,203,236,240,242,304],[1,2,3,4,5,6,10,12,13,14,15,16,19,
23,26,29,30,38,41,44,45,50,52,56,58,60,71,74,76,77,81,94,99,111,124,125,126,
127,154,161,204,237,240,241,305],[1,2,3,4,5,6,10,12,13,14,15,16,23,26,30,38,
41,44,49,50,52,56,57,60,76,78,86,99,102,112,115,118,125,128,154,168,198,241,
242,243,306],[1,2,3,4,6,10,13,15,16,17,19,26,30,41,43,44,46,49,52,54,58,60,77,
85,86,102,105,111,118,123,127,132,154,170,201,238,240,243,307],[1,3,5,6,9,11,
12,17,23,30,35,36,42,53,55,67,70,76,85,91,100,122,158,163,166,179,235,244,247,
308],[1,2,4,5,6,7,8,14,19,21,22,23,25,27,29,32,33,61,62,63,74,82,84,133,136,
140,141,142,144,147,171,215,216,251,252,254,309],[1,3,4,6,7,8,13,19,22,24,26,
27,30,33,61,62,63,77,80,134,135,141,143,144,147,171,213,217,250,253,254,310],[
1,3,5,6,7,8,12,20,23,24,25,30,32,61,62,63,76,83,134,136,140,143,145,146,171,
214,218,252,253,255,311],[1,2,4,5,6,7,8,14,20,21,22,23,25,26,29,32,33,61,62,
63,81,82,84,133,135,140,141,142,145,146,171,216,219,250,251,255,312],[1,2,3,6,
7,8,10,21,24,28,29,30,31,61,62,63,71,75,133,134,137,138,139,142,143,171,209,
222,249,251,253,313],[1,2,4,5,6,7,8,14,22,23,25,26,28,29,31,32,33,61,62,63,72,
73,81,135,136,137,138,139,140,141,171,210,223,249,250,252,314],[1,2,4,5,6,7,8,
14,19,20,22,23,25,27,28,29,31,32,33,61,62,63,72,73,74,79,137,138,139,140,141,
144,145,146,147,171,221,223,224,249,254,255,315],[1,2,3,8,9,10,15,18,21,24,28,
47,64,68,75,148,155,256,316],[1,3,5,8,9,12,17,18,24,25,32,53,64,68,83,149,159,
256,317],[1,3,5,8,11,12,17,18,24,25,32,55,64,69,83,149,157,257,318],[1,3,4,8,
9,13,18,22,24,33,37,64,65,66,68,80,150,165,256,319],[1,3,4,6,13,15,17,18,19,
26,30,43,64,65,66,77,85,86,90,148,149,150,170,173,174,175,225,258,259,260,
320],[1,5,7,8,20,32,34,63,89,146,151,152,153,227,232,261,321],[1,4,7,8,27,33,
34,63,88,147,151,152,153,226,231,261,322],[1,2,7,8,28,31,34,63,87,139,151,152,
153,228,229,230,261,323],[1,2,3,9,10,11,15,16,35,39,41,44,45,47,48,49,59,91,
92,93,94,95,102,104,109,119,121,130,177,178,180,183,193,206,262,267,268,324],[
1,3,4,9,11,13,16,35,37,39,44,48,51,52,57,58,91,92,93,95,96,110,116,117,121,
127,128,176,178,180,184,187,203,262,265,266,325],[1,2,3,4,5,9,10,11,12,13,14,
15,16,17,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,
58,59,60,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,
111,112,113,114,115,116,117,118,119,120,121,123,124,125,126,127,128,129,130,
131,132,176,177,180,181,182,183,184,185,186,187,188,189,190,193,194,195,196,
197,198,199,200,201,202,203,204,205,206,207,208,263,266,267,269,270,271,274,
275,276,326],[1,2,3,9,10,11,15,16,17,35,39,41,42,44,45,47,48,49,57,58,59,92,
93,94,95,102,104,109,110,119,121,122,130,177,180,183,184,191,193,206,264,265,
267,327],[1,3,4,9,11,13,16,17,35,37,39,42,44,48,51,52,57,58,59,92,93,95,96,
109,110,116,117,121,122,127,128,176,180,183,184,187,191,203,264,266,268,328],[
1,3,5,9,11,12,16,17,35,36,39,40,42,44,46,48,50,53,55,57,58,59,60,92,93,95,98,
100,103,106,108,109,110,121,125,132,180,181,183,184,185,205,207,263,265,268,
329],[1,3,5,9,11,12,16,17,35,36,39,40,42,44,46,48,50,53,55,60,91,92,93,95,98,
100,103,106,108,121,122,125,132,178,179,180,181,185,191,192,205,207,262,263,
264,272,273,330],[1,2,3,8,10,15,16,21,24,28,41,44,45,61,75,94,133,134,137,209,
211,212,277,278,279,331],[1,3,6,8,9,11,30,35,62,67,68,69,70,91,163,220,233,
234,235,332],[1,3,5,8,12,16,24,25,32,44,50,60,61,83,125,134,140,211,214,277,
281,282,333],[1,3,5,8,12,15,16,24,25,32,45,50,58,61,83,124,134,140,211,212,
214,278,280,282,334],[1,3,4,8,13,15,16,22,24,33,45,52,60,61,80,126,134,141,
211,212,213,278,281,283,335],[1,3,4,8,13,16,22,24,33,44,52,58,61,80,127,134,
141,211,213,277,280,283,336],[1,2,3,4,5,8,10,12,13,14,15,16,21,22,24,25,28,32,
33,38,41,50,52,56,61,72,73,75,80,82,83,84,99,133,134,137,140,141,162,209,211,
212,213,214,216,223,279,282,283,284,286,337],[1,2,3,8,10,15,16,21,24,28,41,58,
60,61,75,111,133,134,137,209,211,212,279,280,281,338],[1,2,3,4,5,6,8,9,10,12,
13,14,15,17,19,21,23,25,26,29,30,33,37,38,43,47,53,54,56,62,67,68,70,71,74,76,
77,78,81,84,85,86,101,136,142,144,155,158,159,160,161,165,166,167,168,169,170,
215,220,245,248,285,288,289,339],[1,3,9,11,16,18,35,39,48,64,91,95,121,178,
290,340],[1,3,8,11,16,24,34,48,69,152,156,341],[1,3,6,8,9,18,24,30,62,64,67,
68,70,90,143,173,220,256,342],[1,3,8,9,11,16,35,39,44,48,68,69,91,92,93,95,
121,178,180,234,239,262,343],[1,3,6,9,11,16,30,35,39,44,48,67,70,91,92,93,95,
121,154,163,178,180,235,236,262,344],[1,3,6,9,11,16,30,35,39,44,48,67,70,91,
92,93,95,121,163,178,180,233,235,262,296,345],[1,3,5,6,9,11,12,16,17,23,30,35,
36,39,40,42,46,48,50,53,55,67,76,91,95,98,100,103,106,121,122,158,163,178,179,
185,191,192,233,244,273,293,296,346],[1,3,5,8,9,11,12,16,17,24,25,32,35,36,39,
40,42,46,48,50,53,55,68,69,83,91,95,98,100,103,106,121,122,156,157,159,164,
178,179,185,191,192,234,246,273,294,295,297,347],[1,3,6,9,11,16,17,30,35,39,
42,48,60,67,85,91,95,108,121,122,163,178,181,191,233,247,272,296,348],[1,2,3,
4,5,8,9,10,12,13,14,15,16,17,21,25,33,37,38,39,40,41,43,45,46,47,49,50,51,52,
53,54,56,59,60,68,84,92,96,97,99,101,103,104,105,107,108,109,118,120,126,129,
155,159,165,176,182,186,194,195,205,206,239,245,270,301,302,303,349],[1,2,3,4,
5,6,9,10,12,13,14,15,16,17,19,23,26,29,30,37,38,39,40,41,43,44,45,46,47,49,50,
51,52,53,54,56,57,58,60,70,71,74,76,77,78,81,85,86,93,94,96,97,99,101,102,103,
104,105,107,108,110,111,112,115,118,123,124,125,126,127,128,131,132,154,160,
161,166,167,168,169,170,177,186,190,194,198,199,201,203,204,207,208,236,237,
238,240,241,242,243,248,275,298,299,300,304,305,306,307,350],[1,3,6,7,8,16,24,
30,44,61,62,63,134,143,154,171,211,253,277,351],[1,2,3,4,5,6,7,8,10,12,13,14,
19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,38,61,62,63,71,72,73,74,75,76,77,
79,80,81,82,83,84,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,
161,162,171,209,210,213,214,215,216,217,218,219,221,222,223,224,249,250,251,
252,253,254,255,286,287,309,310,311,312,313,314,315,352],[1,3,6,9,11,18,35,67,
90,91,233,290,353],[1,2,3,4,5,8,9,10,12,13,14,15,17,18,21,22,24,25,28,32,33,
37,38,43,47,53,54,56,64,65,66,68,72,73,75,80,82,83,84,101,148,149,150,155,159,
162,165,225,245,256,316,317,319,354],[1,2,4,5,7,8,14,20,27,28,31,32,33,34,63,
72,79,87,88,89,139,146,147,151,152,153,172,224,226,227,228,229,230,231,232,
261,291,292,321,322,323,355],[1,2,3,4,5,9,10,11,12,13,14,15,16,17,35,36,37,38,
39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,91,92,93,94,
95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,
115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,176,
177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,
196,197,198,199,200,201,202,203,204,205,206,207,208,262,263,264,265,266,267,
268,269,270,271,272,273,274,275,276,324,325,326,327,328,329,330,356],[1,3,5,6,
8,9,11,12,17,23,25,30,35,36,42,53,55,62,67,68,69,70,76,85,91,100,122,136,157,
158,159,163,166,179,220,233,234,235,244,247,289,293,295,308,332,357],[1,3,5,6,
8,9,11,12,17,23,30,32,35,36,42,53,55,62,67,68,69,70,91,100,122,145,158,163,
164,179,220,233,234,235,293,297,332,358],[1,3,6,8,9,11,16,24,30,35,39,48,62,
67,68,69,70,91,95,121,143,156,163,178,220,233,234,235,294,296,332,359],[1,2,3,
4,5,8,10,12,13,14,15,16,21,22,24,25,28,32,33,38,41,44,45,50,52,56,58,60,61,72,
73,75,80,82,83,84,94,99,111,124,125,126,127,133,134,137,140,141,162,204,209,
211,212,213,214,216,223,277,278,279,280,281,282,283,284,286,331,333,334,335,
336,337,338,360],[1,3,9,11,16,17,18,35,39,42,48,60,64,91,95,108,121,122,149,
178,181,191,272,290,340,361],[1,3,5,8,11,12,16,17,24,25,32,34,36,40,48,50,55,
69,83,89,98,152,156,157,164,232,246,341,362],[1,2,3,8,10,11,16,21,24,28,34,48,
49,59,69,75,87,119,152,156,229,341,363],[1,3,4,8,11,13,16,22,24,33,34,48,51,
57,69,80,88,117,152,156,231,341,364],[1,3,8,11,16,18,24,48,61,64,69,134,156,
211,257,365],[1,3,5,6,8,9,12,17,18,23,24,25,30,32,53,62,64,67,68,70,76,83,85,
90,136,143,145,149,158,159,166,173,218,220,256,258,289,317,342,366],[1,2,3,6,
8,9,10,15,18,21,24,28,29,30,47,62,64,67,68,70,71,75,86,90,138,142,143,148,155,
169,173,220,222,256,260,285,316,342,367],[1,3,4,6,8,9,13,18,19,22,24,26,30,33,
37,62,64,65,66,67,68,70,77,78,80,90,135,143,144,150,160,165,173,174,175,217,
220,256,259,288,319,342,368],[1,3,4,6,9,11,13,16,19,26,30,35,37,39,44,48,51,
52,57,58,67,70,77,78,91,92,93,95,96,110,116,117,121,127,128,154,160,163,176,
178,180,184,187,203,235,236,240,242,262,265,266,304,325,344,369],[1,2,3,8,9,
10,11,15,16,21,35,39,41,44,45,47,48,49,59,68,69,91,92,93,94,95,102,104,109,
119,121,130,155,177,178,180,183,193,206,234,239,262,267,268,302,324,343,370],[
1,3,4,8,9,11,13,16,33,35,37,39,44,48,51,52,57,58,68,69,91,92,93,95,96,110,116,
117,121,127,128,165,176,178,180,184,187,203,234,239,262,265,266,303,325,343,
371],[1,3,5,6,9,11,12,16,17,23,30,35,36,39,40,42,44,46,48,50,53,55,60,67,70,
76,85,91,92,93,95,98,100,103,106,108,121,122,125,132,154,158,163,166,178,179,
180,181,185,191,192,205,207,235,236,238,241,244,247,262,263,264,272,273,300,
308,330,344,372],[1,2,3,6,9,10,11,15,16,29,30,35,39,41,44,45,47,48,49,59,67,
70,71,86,91,92,93,94,95,102,104,109,119,121,130,154,163,169,177,178,180,183,
193,206,235,236,237,243,262,267,268,298,324,344,373],[1,3,5,8,9,11,12,16,17,
25,35,36,39,40,42,44,46,48,50,53,55,60,68,69,91,92,93,95,98,100,103,106,108,
121,122,125,132,157,159,178,179,180,181,185,191,192,205,207,234,239,262,263,
264,272,273,295,301,330,343,374],[1,3,5,6,9,11,12,16,17,23,30,35,36,39,40,42,
44,46,48,50,53,55,60,67,70,76,85,91,92,93,95,98,100,103,106,108,121,122,125,
132,158,163,166,178,179,180,181,185,191,192,205,207,233,235,244,247,262,263,
264,272,273,293,296,308,330,345,346,348,375],[1,2,3,6,7,8,10,15,16,21,24,28,
29,30,31,41,44,45,61,62,63,71,75,94,133,134,137,138,139,142,143,154,171,209,
211,212,222,237,249,251,253,277,278,279,313,331,351,376],[1,3,4,6,7,8,13,16,
19,22,24,26,27,30,33,44,52,58,61,62,63,77,80,127,134,135,141,143,144,147,154,
171,211,213,217,240,250,253,254,277,280,283,310,336,351,377],[1,3,5,6,7,8,12,
16,20,23,24,25,30,32,44,50,60,61,62,63,76,83,125,134,136,140,143,145,146,154,
171,211,214,218,241,252,253,255,277,281,282,311,333,351,378],[1,3,6,9,11,16,
18,30,35,39,48,64,67,90,91,95,121,163,173,178,233,290,296,340,353,379],[1,3,6,
8,9,11,16,30,35,39,44,48,62,67,68,69,70,91,92,93,95,121,154,163,178,180,220,
233,234,235,236,239,262,296,332,343,344,345,380],[1,3,5,6,8,9,11,12,16,17,23,
24,25,30,32,35,36,39,40,42,46,48,50,53,55,62,67,68,69,70,76,83,85,91,95,98,
100,103,106,121,122,136,143,145,156,157,158,159,163,164,166,178,179,185,191,
192,218,220,233,234,235,244,246,247,273,289,293,294,295,296,297,308,332,346,
347,357,358,359,381],[1,2,3,4,5,8,10,11,12,13,14,16,17,21,22,24,25,28,32,33,
34,36,38,40,48,49,50,51,54,55,57,59,69,72,73,75,80,82,83,84,87,88,89,97,98,
113,115,117,119,120,152,156,157,162,164,172,188,229,231,232,246,292,341,362,
363,364,382],[1,3,5,8,11,12,16,17,18,24,25,32,36,40,48,50,55,61,64,69,83,98,
134,140,149,156,157,164,211,214,246,257,282,318,365,383],[1,3,4,8,11,13,16,18,
24,48,51,58,61,64,65,66,69,116,134,150,156,211,257,280,365,384],[1,3,8,11,15,
16,18,24,45,48,59,61,64,69,130,134,148,156,211,212,257,278,365,385],[1,2,3,4,
5,6,8,9,10,12,13,14,15,17,18,19,21,22,23,24,25,26,28,29,30,32,33,37,38,43,47,
53,54,56,62,64,65,66,67,68,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,90,
101,135,136,138,142,143,144,145,148,149,150,155,158,159,160,161,162,165,166,
167,168,169,170,173,174,175,210,215,217,218,219,220,221,222,225,245,248,256,
258,259,260,285,287,288,289,316,317,319,320,339,342,354,366,367,368,386],[1,2,
3,4,5,8,9,10,11,12,13,14,15,16,17,21,25,33,35,36,37,38,39,40,41,42,43,44,45,
46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,68,69,84,91,92,93,94,95,96,97,98,
99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,
118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,155,157,159,165,
176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,
195,196,197,198,199,200,201,202,203,204,205,206,207,208,234,239,245,262,263,
264,265,266,267,268,269,270,271,272,273,274,275,276,295,301,302,303,324,325,
326,327,328,329,330,343,349,356,370,371,374,387],[1,2,3,4,5,6,9,10,11,12,13,
14,15,16,17,19,23,26,29,30,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,
52,53,54,55,56,57,58,59,60,67,70,71,74,76,77,78,81,85,86,91,92,93,94,95,96,97,
98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,
118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,154,158,160,161,
163,166,167,168,169,170,176,177,178,179,180,181,182,183,184,185,186,187,188,
189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,
208,235,236,237,238,240,241,242,243,244,247,248,262,263,264,265,266,267,268,
269,270,271,272,273,274,275,276,298,299,300,304,305,306,307,308,324,325,326,
327,328,329,330,344,350,356,369,372,373,388],[1,2,3,4,5,6,7,8,10,12,13,14,15,
16,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,38,41,44,45,50,52,56,58,60,61,
62,63,71,72,73,74,75,76,77,79,80,81,82,83,84,94,99,111,124,125,126,127,133,
134,135,136,137,138,139,140,141,142,143,144,145,146,147,154,161,162,171,204,
209,210,211,212,213,214,215,216,217,218,219,221,222,223,224,237,240,241,249,
250,251,252,253,254,255,277,278,279,280,281,282,283,284,286,287,305,309,310,
311,312,313,314,315,331,333,334,335,336,337,338,351,352,360,376,377,378,389],[
1,3,8,9,11,16,18,24,35,39,44,48,64,68,69,91,92,93,95,121,156,178,180,234,239,
256,257,262,290,294,340,343,390],[1,3,6,9,11,16,17,18,30,35,39,42,48,60,64,67,
85,90,91,95,108,121,122,149,163,173,178,181,191,233,247,258,272,290,296,340,
348,353,361,379,391],[1,3,5,6,8,9,11,12,16,17,23,25,30,35,36,39,40,42,44,46,
48,50,53,55,60,62,67,68,69,70,76,85,91,92,93,95,98,100,103,106,108,121,122,
125,132,136,154,157,158,159,163,166,178,179,180,181,185,191,192,205,207,220,
233,234,235,236,238,239,241,244,247,262,263,264,272,273,289,293,295,296,300,
301,308,330,332,343,344,345,346,348,357,372,374,375,380,392],[1,3,4,6,8,9,11,
13,16,19,26,30,33,35,37,39,44,48,51,52,57,58,62,67,68,69,70,77,78,91,92,93,95,
96,110,116,117,121,127,128,144,154,160,163,165,176,178,180,184,187,203,220,
233,234,235,236,239,240,242,262,265,266,288,296,303,304,325,332,343,344,345,
369,371,380,393],[1,2,3,6,8,9,10,11,15,16,21,29,30,35,39,41,44,45,47,48,49,59,
62,67,68,69,70,71,86,91,92,93,94,95,102,104,109,119,121,130,142,154,155,163,
169,177,178,180,183,193,206,220,233,234,235,236,237,239,243,262,267,268,285,
296,298,302,324,332,343,344,345,370,373,380,394],[1,3,4,5,8,11,12,13,15,16,17,
18,24,25,32,36,40,43,45,48,50,51,55,56,58,59,61,64,65,66,69,83,98,107,114,116,
120,124,130,134,140,148,149,150,156,157,164,197,211,212,214,225,246,257,278,
280,282,318,334,365,383,384,385,395],[1,3,5,8,9,11,12,16,17,18,24,25,32,35,36,
39,40,42,44,46,48,50,53,55,60,64,68,69,83,91,92,93,95,98,100,103,106,108,121,
122,125,132,149,156,157,159,164,178,179,180,181,185,191,192,205,207,234,239,
246,256,257,262,263,264,272,273,290,294,295,297,301,317,318,330,340,343,347,
361,374,390,396],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,19,21,23,25,26,29,
30,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,
59,60,62,67,68,69,70,71,74,76,77,78,81,84,85,86,91,92,93,94,95,96,97,98,99,
100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,
119,120,121,122,123,124,125,126,127,128,129,130,131,132,136,142,144,154,155,
157,158,159,160,161,163,165,166,167,168,169,170,176,177,178,179,180,181,182,
183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,
202,203,204,205,206,207,208,215,220,233,234,235,236,237,238,239,240,241,242,
243,244,245,247,248,262,263,264,265,266,267,268,269,270,271,272,273,274,275,
276,285,288,289,293,295,296,298,299,300,301,302,303,304,305,306,307,308,324,
325,326,327,328,329,330,332,339,343,344,345,346,348,349,350,356,357,369,370,
371,372,373,374,375,380,387,388,392,393,394,397],[1,3,6,8,9,11,16,18,24,30,35,
39,44,48,62,64,67,68,69,70,90,91,92,93,95,121,143,154,156,163,173,178,180,220,
233,234,235,236,239,256,257,262,290,294,296,332,340,342,343,344,345,353,359,
379,380,390,398],[1,3,5,6,8,9,11,12,16,17,18,23,24,25,30,32,35,36,39,40,42,44,
46,48,50,53,55,60,62,64,67,68,69,70,76,83,85,90,91,92,93,95,98,100,103,106,
108,121,122,125,132,136,143,145,149,154,156,157,158,159,163,164,166,173,178,
179,180,181,185,191,192,205,207,218,220,233,234,235,236,238,239,241,244,246,
247,256,257,258,262,263,264,272,273,289,290,293,294,295,296,297,300,301,308,
317,318,330,332,340,342,343,344,345,346,347,348,353,357,358,359,361,366,372,
374,375,379,380,381,390,391,392,396,398,399],[1,3,8,9,11,16,18,24,34,35,39,44,
48,61,64,68,69,91,92,93,95,121,134,152,156,178,180,211,234,239,256,257,262,
277,290,294,340,341,343,365,390,400],[1,2,3,8,9,10,11,15,16,18,21,24,28,34,35,
39,41,44,45,47,48,49,59,61,64,68,69,75,87,91,92,93,94,95,102,104,109,119,121,
130,133,134,137,148,152,155,156,177,178,180,183,193,206,209,211,212,229,234,
239,256,257,262,267,268,277,278,279,290,294,302,316,324,331,340,341,343,363,
365,370,385,390,400,401],[1,3,4,8,9,11,13,16,18,22,24,33,34,35,37,39,44,48,51,
52,57,58,61,64,65,66,68,69,80,88,91,92,93,95,96,110,116,117,121,127,128,134,
141,150,152,156,165,176,178,180,184,187,203,211,213,231,234,239,256,257,262,
265,266,277,280,283,290,294,303,319,325,336,340,341,343,364,365,371,384,390,
400,402],[1,3,5,8,9,11,12,16,17,18,24,25,32,34,35,36,39,40,42,44,46,48,50,53,
55,60,61,64,68,69,83,89,91,92,93,95,98,100,103,106,108,121,122,125,132,134,
140,149,152,156,157,159,164,178,179,180,181,185,191,192,205,207,211,214,232,
234,239,246,256,257,262,263,264,272,273,277,281,282,290,294,295,297,301,317,
318,330,333,340,341,343,347,361,362,365,374,383,390,396,400,403],[1,3,6,7,8,9,
11,16,18,24,30,34,35,39,44,48,61,62,63,64,67,68,69,70,90,91,92,93,95,121,134,
143,151,152,153,154,156,163,171,173,178,180,211,220,233,234,235,236,239,253,
256,257,261,262,277,290,294,296,332,340,341,342,343,344,345,351,353,359,365,
379,380,390,398,400,404],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,18,21,22,24,
25,28,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,
56,57,58,59,60,61,64,65,66,68,69,72,73,75,80,82,83,84,87,88,89,91,92,93,94,95,
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,
137,140,141,148,149,150,152,155,156,157,159,162,164,165,172,176,177,178,179,
180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,
199,200,201,202,203,204,205,206,207,208,209,211,212,213,214,216,223,225,229,
231,232,234,239,245,246,256,257,262,263,264,265,266,267,268,269,270,271,272,
273,274,275,276,277,278,279,280,281,282,283,284,286,290,292,294,295,297,301,
302,303,316,317,318,319,324,325,326,327,328,329,330,331,333,334,335,336,337,
338,340,341,343,347,349,354,356,360,361,362,363,364,365,370,371,374,382,383,
384,385,387,390,395,396,400,401,402,403,405],[1,3,5,6,7,8,9,11,12,16,17,18,20,
23,24,25,30,32,34,35,36,39,40,42,44,46,48,50,53,55,60,61,62,63,64,67,68,69,70,
76,83,85,89,90,91,92,93,95,98,100,103,106,108,121,122,125,132,134,136,140,143,
145,146,149,151,152,153,154,156,157,158,159,163,164,166,171,173,178,179,180,
181,185,191,192,205,207,211,214,218,220,227,232,233,234,235,236,238,239,241,
244,246,247,252,253,255,256,257,258,261,262,263,264,272,273,277,281,282,289,
290,293,294,295,296,297,300,301,308,311,317,318,321,330,332,333,340,341,342,
343,344,345,346,347,348,351,353,357,358,359,361,362,365,366,372,374,375,378,
379,380,381,383,390,391,392,396,398,399,400,403,404,406],[1,2,3,6,7,8,9,10,11,
15,16,18,21,24,28,29,30,31,34,35,39,41,44,45,47,48,49,59,61,62,63,64,67,68,69,
70,71,75,86,87,90,91,92,93,94,95,102,104,109,119,121,130,133,134,137,138,139,
142,143,148,151,152,153,154,155,156,163,169,171,173,177,178,180,183,193,206,
209,211,212,220,222,228,229,230,233,234,235,236,237,239,243,249,251,253,256,
257,260,261,262,267,268,277,278,279,285,290,294,296,298,302,313,316,323,324,
331,332,340,341,342,343,344,345,351,353,359,363,365,367,370,373,376,379,380,
385,390,394,398,400,401,404,407],[1,3,4,6,7,8,9,11,13,16,18,19,22,24,26,27,30,
33,34,35,37,39,44,48,51,52,57,58,61,62,63,64,65,66,67,68,69,70,77,78,80,88,90,
91,92,93,95,96,110,116,117,121,127,128,134,135,141,143,144,147,150,151,152,
153,154,156,160,163,165,171,173,174,175,176,178,180,184,187,203,211,213,217,
220,226,231,233,234,235,236,239,240,242,250,253,254,256,257,259,261,262,265,
266,277,280,283,288,290,294,296,303,304,310,319,322,325,332,336,340,341,342,
343,344,345,351,353,359,364,365,368,369,371,377,379,380,384,390,393,398,400,
402,404,408],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,
25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,
51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,
77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,
102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,
121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,
140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,
159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,
178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,
197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,
216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,
235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,
254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,
273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,
292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,
311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,
330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,
349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,367,
368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,
387,388,389,390,391,392,393,394,395,396,397,398,399,400,401,402,403,404,405,
406,407,408,409]],
0,
[[1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,3,1],[1,2,1,1],[1,3,1],[1,1,
2,1],[1,1,2,1],[1,1,1,1,1],[1,1,1],[1,1,1],[1,1,1],[1,1],[1,3,1,1],[1,3,1,1],[
1,3,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,1,1,
1],[1,1,1,1],[1,1,1,1],[1,1,1,1],[1,1,1,1],[1,1,1,1],[1,1],[1,7,1,6,1],[1,3,4,
1,6,1],[1,3,4,1,6,1],[1,2,1,2,2,1,1,1,4,1],[1,3,1,2,1],[1,1,2,1,1,1,1],[1,2,1,
1,1,1,1],[1,3,1,2,1],[1,1,2,1,1,1,1],[1,1,3,1],[1,1,2,1,1],[1,1,1,2,1],[1,2,3,
1,1,1,1],[1,5,2,1,1],[1,4,1,2,1,1],[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],[1,2,1,2,1,1,1,1],[1,3,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,1,1],[
1,1,1,1],[1,1,1,1],[1,1,1,1],[1,4,1],[1,3,1,1],[1,3,1,1],[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],[1,2,1,1,1,2,1,1],[
1,1,1,1,1,1,1,1,1,1],[1,1,3,3,1,3,1,1,1,1],[1,1,3,3,1,3,1,1,1,1],[1,4,3,1,3,1,
1,1,1],[1,1,6,1,3,2,1,1],[1,1,6,1,3,1,1,1,1],[1,1,6,1,3,2,1,1],[1,1,3,3,1,3,1,
1,1,1],[1,3,4,1,3,1,1,1,1],[1,1,3,3,1,3,1,1,1,1],[1,3,3,1,1,3,1,1,1,1],[1,3,4,
1,3,1,1,1,1],[1,3,1,3,1,3,1,1,1,1],[1,1,1,3,1,1],[1,1,1,1,1,1],[1,7,1,1],[1,7,
1,1],[1,1,1,1],[1,1,1,1],[1,15,5,30,15,1],[1,3,1,6,3,1],[1,3,1,6,3,4,1],[1,2,
1,1,3,3,3,1,3,1],[1,11,1,12,2,2,1,4,1],[1,3,8,1,12,2,2,1,2,2,1],[1,4,1,4,2,2,
1,2,8,1,1,2,1,1,1,2,1],[1,5,6,2,11,1,1,2,1,1,1,2,1],[1,2,1,4,4,1,2,2,8,1,1,2,
1,1,1,2,1],[1,7,4,1,6,6,2,1,1,1,2,2,1],[1,2,3,4,2,1,1,1,6,4,1,1,1,1,1,1,1,1,1,
1],[1,6,1,3,1,3,3,1,3,1],[1,3,4,1,2,2,2,1,2,1,1,2,1],[1,4,3,1,2,2,2,1,2,1,2,1,
1],[1,2,1,4,1,2,1,1,2,1,2,1,1,2,1],[1,5,2,2,1,1,3,1,2,1,1,2,1],[1,1,4,2,1,2,2,
1,1,1,2,1,1,2,1],[1,3,1,2,1,2,1],[1,3,1,2,1,2,1],[1,3,1,2,1,1,1,1],[1,2,1,1,1,
1,1,1,1,1],[1,2,1,1,1,1,1,1,1,1],[1,1,2,1,1,1,1,1,1,1],[1,1,2,1,1,1,1,1,1,1],[
1,4,1,4,2,2,1,1,1,1,1],[1,5,4,2,2,1,1,1,1,1],[1,5,4,2,2,1,1,1,1,1],[1,4,1,4,2,
2,1,1,1,1,1],[1,4,5,2,2,1,1,1,1,1],[1,1,4,4,2,2,1,1,1,1,1],[1,7,1,6,4,1,2,1],[
1,7,1,6,4,1,2,1],[1,4,1,2,1,2,1,1,1,1],[1,1,4,2,2,1,1,1,1,1],[1,1,4,2,3,1,1,1,
1],[1,1,4,2,2,1,1,1,1,1],[1,1,4,2,3,1,1,1,1],[1,1,4,2,3,1,1,1,1],[1,1,4,2,1,2,
1,1,1,1],[1,5,2,2,1,1,1,1,1],[1,1,2,1,2,1,1,1,1],[1,1,3,2,1,1,1,1],[1,9,4,12,
1,1],[1,9,4,12,1,1],[1,9,3,1,3,9,1,1],[1,9,3,1,9,3,1,1],[1,1,4,4,1,1],[1,1,3,
1,1,3,1,1],[1,1,3,1,1,3,1,1],[1,3,4,1,3,1,1],[1,3,4,1,3,1,1],[1,3,3,1,1,3,1,
1],[1,3,3,1,1,3,1,1],[1,3,3,1,1,3,1,1],[1,3,3,1,1,3,1,1],[1,3,3,1,1,3,1,1],[1,
3,3,1,1,3,1,1],[1,5,5,1,1,1],[1,5,5,1,1,1],[1,5,6,5,1,1,1,1,1],[1,1,1,1],[1,7,
1,1],[1,7,1,1],[1,1,4,3,4,1,1],[1,6,3,4,1,3,3,4,3,1,1],[1,9,4,4,3,4,3,1,1],[1,
3,6,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,12,
1,1,18,1,3,3,3,1,3,3,1],[1,2,1,6,6,1,1,3,3,12,1,2,1,2,1,3,1,2,1,1,2,1],[1,4,3,
4,4,1,3,3,3,10,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,7,4,1,6,4,1,1,1],[1,3,4,4,
1,6,4,1,1,1],[1,3,4,4,1,6,4,1,1,1],[1,3,6,1,1,3,3,2,3,3,1,1,1,1],[1,2,1,6,1,1,
3,3,2,2,1,3,1,1,1,1],[1,1,6,6,1,3,3,1,2,2,1,3,1,1,1,1],[1,2,3,1,1,1,1,2,3,1,1,
1,1,1],[1,1,6,1,3,1,3,1,1,1,3,1,1,1,1],[1,3,6,4,1,1,2,1],[1,7,7,1,7,1,1,1,1,
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],[1,3,16,1,24,6,4,3,
12,12,1,6,1],[1,8,3,1,4,4,6,3,12,4,6,4,6,1,4,4,6,1],[1,19,5,36,6,16,3,12,1,3,
3,1],[1,15,4,5,30,6,6,15,1,3,6,6,1,3,3,1],[1,11,1,12,10,2,5,4,4,1,1,1,4,1],[1,
11,1,12,2,2,1,4,4,1,2,1],[1,3,8,1,12,2,2,1,2,2,2,2,1,1,1,1],[1,3,1,6,3,4,4,1,
2,1],[1,3,1,6,3,2,2,1,2,1],[1,11,8,1,12,20,2,4,2,4,1,4,4,2,4,2,4,8,1,4,4,2,4,
1],[1,4,3,8,4,1,2,2,12,16,2,2,2,2,4,1,2,2,4,1,1,2,1,1,2,2,2,4,4,1,2,2,4,1,1,2,
2,1],[1,11,8,1,12,12,2,2,2,1,4,2,2,1,1,1,1,1,2,2,1],[1,4,5,4,6,2,2,11,2,8,1,1,
2,2,1,1,1,1,1,2,2,1,1,1,1,1,1,1,1,1,1],[1,3,4,1,2,2,2,1,2,1,1,2,1,1,2,1,1,1,2,
2,1],[1,4,3,1,2,2,2,1,2,1,2,1,1,1,2,1,1,1,2,2,1],[1,11,1,12,2,8,2,1,4,4,1,2,
1],[1,7,4,1,6,6,4,6,1,1,2,3,2,2,1,1,1,1],[1,4,11,1,2,12,2,2,2,1,2,1,2,4,1,2,1,
1,1,2,2,1],[1,4,3,8,1,2,12,2,2,2,1,2,1,2,1,2,2,2,1,1,1,2,2,1],[1,3,8,4,1,2,12,
2,2,2,1,2,1,1,2,2,2,2,1,1,1,2,2,1],[1,4,5,4,2,2,2,1,2,8,1,3,2,1,2,1,1,1,1,2,2,
1,1,1,1,1,1,1,1,1,1],[1,5,4,6,2,11,2,2,1,1,2,1,2,1,1,1,1,2,2,1,1,1,1,1,1,1,1,
1,1],[1,6,1,4,4,3,2,2,8,1,3,2,3,1,3,1,1,2,1,1,1,1,1,1,1,1,1,1],[1,4,3,4,1,2,2,
2,2,2,1,2,2,1,1,2,1,1,2,1,1,1,1,1,1,1,1,1,1],[1,5,4,2,2,1,2,2,1,3,1,2,2,1,1,1,
1,2,2,1,1,1,1,1,1,1,1,1,1],[1,6,1,4,3,2,1,3,2,3,2,1,1,3,1,2,1,1,1,1,1,1,1,1,1,
1],[1,3,1,2,1,1,1,2,2,1,1,1,1],[1,3,8,1,12,6,2,3,4,2,2,1,1,1,1,1,2,2,1],[1,2,
1,4,4,1,2,2,8,3,3,2,3,1,3,1,1,2,1,1,1,1,1,1,1,1,1,1],[1,3,4,1,2,6,2,3,2,1,1,2,
2,1,1,1,1],[1,4,3,1,2,2,6,3,2,1,2,1,2,1,1,1,1],[1,3,4,1,2,6,2,3,2,4,1,1,2,2,1,
1,1,2,2,1],[1,2,1,4,1,2,3,3,2,3,2,1,3,1,1,2,1,1,1,1,1,1,1,1,1,1],[1,10,9,4,9,
12,12,4,1,12,1,1,1,1],[1,1,9,9,3,1,9,3,9,3,9,1,3,1,3,9,1,1,1,1],[1,9,4,9,12,1,
1,1],[1,9,4,9,12,1,1,1],[1,9,6,4,9,2,12,6,1,6,1,2,1],[1,9,6,4,9,12,2,6,1,6,1,
2,1],[1,3,3,9,3,1,9,1,1,9,3,3,3,1,3,3,1,1,1,1],[1,9,3,3,4,9,12,1,1,3,3,1,3,3,
1,1,1,1],[1,3,12,3,1,9,1,3,1,9,3,3,1,3,3,1,1,1,1],[1,3,12,3,1,9,10,1,3,3,3,1,
3,3,1,1,1,1],[1,3,9,3,3,1,9,1,3,1,9,3,3,1,3,3,1,1,1,1],[1,3,9,4,1,3,4,2,1,1,
1],[1,1,3,3,3,1,3,1,1,1,3,3,3,1,3,1,1,1,1,1],[1,4,3,3,1,3,1,1,1,6,3,1,3,1,1,1,
1,1],[1,1,3,3,4,3,1,1,4,3,3,1,3,1,1,1,1,1],[1,1,3,3,3,1,3,1,1,1,3,3,3,1,3,1,1,
1,1,1],[1,5,6,5,5,5,1,5,1,1,1,1,1,1,1],[1,21,1,7,1,3,1,1],[1,3,1,1,1,3,1,1],[
1,7,1,7,1,1,1,1],[1,7,7,7,1,1,1,1],[1,7,7,7,1,1,1,1],[1,7,7,7,1,1,1,1],[1,1,7,
7,1,1,1,1],[1,15,16,5,30,15,20,1,1],[1,15,16,5,30,15,8,12,1,1],[1,15,4,5,30,
12,15,1,4,1,3,1],[1,3,4,1,6,12,3,4,4,1,1,1],[1,2,1,4,1,3,3,8,4,3,1,3,4,1,1,
1],[1,1,4,3,6,4,1,3,3,4,3,1,1],[1,3,16,1,6,3,4,1,1],[1,1,12,4,6,3,4,4,4,1,3,3,
4,3,1,1],[1,1,12,4,6,3,8,4,1,3,3,4,3,1,1],[1,1,12,4,6,3,8,4,1,3,3,4,3,1,1],[1,
6,1,4,3,1,3,4,3,1,3,4,1,1,1],[1,7,12,4,1,6,18,6,8,4,1,3,3,6,6,1,4,3,2,1,1],[1,
6,3,4,6,4,1,3,3,6,12,3,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,9,10,4,4,21,3,
3,4,4,4,4,3,3,3,6,1,4,3,1,1,1,1],[1,7,4,1,6,12,4,1,6,1,4,3,1,1],[1,2,3,12,6,1,
1,1,3,18,12,1,3,1,2,3,2,3,3,3,3,1,3,3,3,1,1,2,1,3,3,2,1,1,3,1,1,1,1,1,1,1,1],[
1,1,3,6,4,4,3,6,1,1,2,1,1,2,1,1],[1,9,3,6,4,3,9,9,1,1,2,1,3,1,1],[1,9,3,6,4,
12,9,1,1,2,1,3,1,1],[1,9,3,6,4,9,3,9,1,1,2,1,3,1,1],[1,9,3,6,4,12,9,1,1,2,1,3,
1,1],[1,9,3,6,4,3,3,6,9,1,1,2,3,3,6,1,1],[1,9,3,6,4,6,3,3,9,1,1,2,3,3,6,1,1],[
1,15,10,5,6,10,6,5,1],[1,15,10,5,6,10,6,5,1],[1,5,1,15,1,5,1,5,1,3,1,1],[1,5,
18,1,15,1,1,5,5,1,3,3,5,1,3,1,1,1,1],[1,5,1,5,1,5,1,5,1,1,1,1],[1,15,7,1,7,1,
1,2,1],[1,27,9,60,18,30,9,12,36,2,3,3,9,18,6,9,1],[1,11,8,1,12,20,10,4,2,4,5,
4,4,4,2,4,2,4,8,4,1,1,1,4,4,2,4,2,4,4,4,1,1,1,2,2,1],[1,11,1,12,10,16,2,5,8,4,
4,1,1,1,4,4,1,2,1],[1,11,1,12,10,2,5,4,4,4,4,1,1,1,4,4,1,2,1],[1,11,16,1,12,
24,10,2,4,5,4,4,12,12,2,2,1,1,1,6,2,4,4,4,4,4,1,1,1,2,2,1],[1,8,11,1,4,12,4,
10,2,5,12,4,6,4,4,6,4,1,1,4,1,4,6,2,4,4,4,1,1,1,2,2,1],[1,11,1,12,10,2,5,4,4,
8,1,1,1,4,4,1,2,1],[1,4,11,8,8,1,2,12,20,12,16,2,2,4,2,4,2,4,1,4,2,4,4,1,2,2,
4,1,2,2,2,4,4,8,4,1,1,2,1,1,2,4,2,4,4,2,1,2,4,2,1,1,2,2,1,2,2,2,2,1,1,2,2,1,1,
1,1,2,1,1,1,2,2,1,2,1],[1,4,3,16,4,1,2,2,24,16,2,6,2,4,4,3,2,2,4,1,1,2,1,1,12,
12,2,4,4,2,2,1,6,2,2,4,1,1,2,2,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,4,11,8,1,2,12,
12,2,2,2,2,1,2,1,2,4,1,2,2,1,1,2,4,1,1,1,2,1,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,
1],[1,19,5,36,6,8,16,3,4,12,4,1,3,2,3,2,1,1,1,1],[1,19,8,5,36,20,6,12,16,4,3,
4,8,2,12,2,12,16,1,3,4,8,2,4,3,6,1,2,1,1,2,1],[1,4,3,4,1,2,2,2,6,2,3,2,2,1,1,
2,1,1,2,2,2,2,2,1,1,1,1,1,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1],[1,8,3,8,4,1,4,2,
12,16,4,6,2,2,4,3,2,12,4,4,6,1,4,6,1,2,2,2,4,4,1,1,2,1,4,1,2,2,4,4,1,6,2,2,1,
1,2,2,1,2,1,1,2,2,2,2,1,2,1,1,1,1,2,1,2,1,2,1,2,1],[1,3,8,4,1,2,12,6,2,2,3,2,
4,1,1,2,2,2,1,1,4,2,1,1,1,1,2,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,9,4,27,12,
9,1,1,3,1],[1,9,4,18,9,12,9,1,1,1,2,1],[1,10,9,4,9,9,9,12,12,4,9,1,12,1,1,1,1,
1,1,1],[1,9,4,9,12,9,1,1,1,1],[1,9,4,9,12,9,1,1,1,1],[1,9,12,4,18,9,12,4,12,9,
1,12,1,4,1,2,1],[1,9,12,4,18,9,4,12,12,9,1,12,1,4,1,2,1],[1,9,6,6,4,9,9,9,2,
12,2,6,6,9,1,6,6,1,2,2,1,1,1,1],[1,6,3,9,4,1,3,3,4,6,3,3,4,2,1,1,3,3,4,1,3,1,
1],[1,10,9,6,6,4,9,9,9,24,12,2,12,2,4,6,6,9,1,6,2,12,6,6,6,6,1,1,1,2,2,6,1,1,
1,2,2,1],[1,4,3,12,12,3,1,3,9,9,30,1,1,3,10,1,3,9,1,6,3,3,3,9,1,3,3,3,4,1,3,3,
3,12,3,3,3,1,1,1,1,1,1,1,3,3,1,1,1,1,1,1,1,1],[1,3,12,9,4,1,18,1,3,3,12,3,4,2,
1,1,3,3,4,1,3,1,1],[1,3,18,9,4,1,9,9,30,12,3,9,4,2,1,1,3,3,4,6,3,3,1,1],[1,15,
5,30,16,15,1,1],[1,7,21,3,1,21,1,7,7,1,7,1,3,3,1,3,1,1,1,1],[1,7,7,1,7,7,7,7,
7,1,7,1,1,1,1,1,1,1,1,1],[1,15,12,16,5,30,18,18,16,15,3,9,18,18,20,1,9,9,12,3,
1,1],[1,27,16,5,48,18,16,18,9,36,8,12,1,9,9,12,3,1,1],[1,15,12,16,5,30,18,18,
16,15,3,9,18,18,8,12,1,9,9,4,8,3,1,1],[1,19,16,5,36,6,16,16,3,12,20,1,3,3,4,1,
1,1],[1,15,4,16,5,30,6,6,16,15,1,3,6,6,8,12,1,3,3,4,1,1,1],[1,8,3,4,1,4,4,6,8,
12,3,12,4,6,4,6,4,4,4,1,4,4,6,1,4,1,1,1,1,1],[1,2,1,12,4,1,6,3,3,6,8,8,4,3,6,
1,3,3,3,6,3,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,3,12,4,1,6,6,6,8,12,3,6,4,
3,3,6,6,4,4,4,1,3,3,6,6,1,4,3,1,1,1,1],[1,3,12,16,1,6,6,6,16,3,6,3,3,6,6,4,1,
3,3,4,3,1,1],[1,12,3,16,1,6,6,6,16,3,6,3,6,3,6,4,1,3,3,4,3,1,1],[1,3,16,16,1,
24,6,16,4,3,12,12,4,1,6,4,1,1,1],[1,3,24,4,1,36,6,4,12,12,6,3,4,6,6,3,3,4,12,
12,1,3,3,6,6,1,4,3,1,1,1,1],[1,2,1,12,12,4,1,6,6,24,3,3,4,8,4,8,4,6,3,1,3,3,3,
6,3,3,4,8,4,4,8,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,6,1,12,12,4,3,6,6,24,1,3,8,8,
4,6,3,1,3,3,3,6,3,3,4,4,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,6,1,12,4,3,6,1,3,6,
4,4,4,3,6,1,3,3,3,6,3,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,15,12,4,5,30,18,
18,8,12,15,3,9,18,18,1,4,4,4,1,9,9,2,3,4,3,1,1,1,1],[1,9,9,9,3,6,4,27,3,12,3,
9,3,6,9,9,9,1,1,2,9,9,9,1,1,3,3,3,3,6,1,3,3,1,1,1,1],[1,9,18,3,6,4,27,3,6,12,
9,6,9,18,1,1,2,9,18,1,1,6,3,3,6,1,3,3,1,1,1,1],[1,9,18,3,6,4,27,6,12,12,6,9,
18,1,1,2,9,18,1,1,6,3,3,6,1,3,3,1,1,1,1],[1,9,9,9,3,6,4,27,6,12,3,3,3,9,9,9,9,
1,1,2,9,9,9,1,1,3,3,3,3,6,1,3,3,1,1,1,1],[1,10,9,3,6,4,9,12,12,4,12,9,6,1,1,2,
9,12,1,1,1,1,2,3,3,1,1,3,1,1,1,1],[1,1,9,9,3,6,4,9,3,9,3,9,4,3,6,9,9,1,1,2,9,
3,9,1,1,1,1,2,3,3,1,1,3,1,1,1,1],[1,1,9,9,3,6,4,9,3,6,3,3,3,6,4,3,6,9,9,1,1,2,
9,3,3,6,1,1,2,3,3,3,3,6,6,1,3,3,6,1,1,1,1],[1,10,15,10,5,15,15,6,10,10,10,15,
6,5,10,6,5,1,1],[1,15,10,10,5,15,15,6,10,10,10,15,6,5,10,6,5,1,1],[1,15,10,10,
5,15,15,6,10,10,10,15,6,5,10,6,5,1,1],[1,15,16,10,5,30,6,10,10,10,5,6,6,6,5,
10,6,5,1,1],[1,5,18,1,15,5,15,1,1,5,5,15,1,3,3,5,5,5,1,1,3,3,5,1,1,1,3,1,1,1,
1],[1,3,15,7,1,21,1,7,3,7,1,1,2,1,3,1,1],[1,21,15,7,7,21,1,7,3,7,1,1,2,1,3,1,
1],[1,7,15,7,7,21,1,7,1,7,1,1,2,1,1,2,1,1],[1,8,27,9,4,60,4,18,30,9,12,12,6,4,
36,6,12,2,3,3,4,9,4,6,6,12,18,12,1,6,9,3,6,6,1,3,3,1],[1,27,16,9,60,24,18,30,
4,9,12,36,12,12,6,6,2,3,3,9,6,6,12,12,18,12,12,1,6,9,3,6,6,1,3,3,1],[1,8,11,
16,8,1,4,12,20,24,32,4,10,4,2,4,4,8,5,4,12,4,8,4,6,2,4,4,6,2,12,12,4,8,8,8,2,
2,4,4,1,1,4,1,6,4,4,4,4,8,4,2,6,4,4,4,2,2,2,4,4,4,4,2,4,4,4,4,4,4,2,2,4,4,4,4,
4,4,2,4,1,1,1,1,2,1,1,1,2,2,4,2,2,2,2,2,4,4,4,2,4,4,2,2,4,2,2,2,4,1,1,1,2,2,2,
2,2,2,1],[1,8,11,1,4,12,4,10,16,2,5,12,8,4,6,4,4,6,4,4,4,1,1,4,1,4,6,2,4,4,4,
4,4,1,1,1,2,2,2,2,1,1,1,1],[1,11,16,1,12,24,10,16,2,4,5,8,4,4,12,12,2,2,8,1,1,
1,6,4,2,4,4,4,4,4,4,1,1,2,1,2,2,2,1,1,1,1],[1,11,8,1,12,20,10,4,2,4,5,4,4,4,2,
4,2,4,8,4,4,8,4,1,1,1,4,4,2,4,2,4,4,4,4,4,1,1,2,2,1,2,2,1,1,1,1],[1,27,8,9,60,
20,18,20,30,4,9,4,12,12,2,36,2,20,24,4,2,3,3,9,4,12,2,4,2,18,12,4,4,6,4,9,1,1,
2,4,2,2,1,1,1,2,2,1],[1,10,9,4,9,27,27,12,12,4,27,9,27,1,12,9,1,1,1,1,3,3,1,3,
3,1],[1,15,24,16,5,30,24,15,16,22,8,12,8,1,6,8,1,1,2,1],[1,9,12,4,18,27,12,4,
12,9,9,9,1,12,9,1,4,3,2,1,1,1,1],[1,9,12,4,18,18,9,12,4,12,9,9,9,1,12,9,1,4,1,
2,2,1,1,1,1],[1,9,12,4,18,18,9,4,12,12,9,9,9,1,12,9,1,4,1,2,2,1,1,1,1],[1,9,
12,4,18,27,4,12,12,9,9,9,1,12,9,1,4,3,2,1,1,1,1],[1,10,9,12,12,4,9,18,18,48,9,
9,12,4,12,4,4,12,12,18,9,9,9,18,1,12,4,12,12,12,12,12,9,1,1,1,4,4,12,1,1,1,2,
2,4,4,1,1,1,2,2,1],[1,10,9,4,9,9,9,12,12,4,9,9,9,1,12,9,1,1,1,1,1,1,1,1,1,1],[
1,6,3,12,18,9,4,1,3,9,18,36,3,9,1,4,30,12,3,6,3,12,3,9,9,3,9,9,9,4,2,1,1,3,6,
3,3,3,6,12,3,3,9,4,4,4,1,6,3,1,3,3,3,3,3,3,3,4,1,3,3,1,1,1,1],[1,35,5,60,30,
16,20,15,60,16,1,15,15,5,1,1],[1,21,28,14,21,28,8,21,14,8,14,1],[1,15,21,10,5,
6,10,15,10,6,10,5,5,6,10,6,5,1,1],[1,27,64,9,60,18,30,9,12,36,48,96,2,3,3,9,
18,6,9,8,12,1,1],[1,27,16,9,60,18,48,30,9,12,36,8,16,2,3,3,9,18,12,24,6,9,8,
12,1,1],[1,27,16,9,60,18,48,30,9,12,36,20,16,2,3,3,9,18,12,6,9,1,4,1,3,1],[1,
19,24,16,5,36,60,6,36,32,16,16,12,3,12,24,6,12,6,36,48,20,16,1,3,12,24,6,12,3,
18,24,4,1,6,3,3,6,1,4,3,2,1,1],[1,27,16,16,5,48,48,18,24,16,16,16,18,10,9,12,
18,6,36,6,24,36,8,12,16,1,9,12,18,6,12,9,12,12,4,8,4,3,4,3,3,6,1,4,3,1,1,1,
1],[1,19,16,5,36,6,24,16,16,3,12,12,12,20,16,1,3,6,3,6,4,1,3,3,1,4,3,1,1],[1,
12,3,16,12,16,1,6,6,24,48,6,6,6,16,16,16,4,12,3,6,6,12,3,3,6,3,3,12,12,6,12,
12,6,6,4,16,1,6,6,6,12,3,3,6,6,3,3,6,6,6,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,
1],[1,8,3,24,12,4,1,4,6,36,48,4,6,6,4,8,12,8,12,6,12,3,6,12,12,4,6,3,4,6,3,6,
6,6,12,12,3,3,6,4,4,8,4,12,12,8,4,4,1,4,3,6,6,12,4,3,6,6,6,3,3,6,6,3,6,3,3,6,
6,6,6,3,6,1,4,4,4,4,4,4,4,1,3,3,3,6,3,6,3,6,3,6,1,1,1,1,1,1,1,4,3,1,1,1,1,1,1,
1,1],[1,9,12,24,4,27,12,36,9,1,4,8,1,12,9,4,3,4,1,1],[1,10,9,18,18,3,6,4,9,27,
27,72,3,6,12,6,12,12,6,9,6,4,12,9,6,18,18,27,1,1,2,9,18,6,12,12,9,9,6,18,18,
18,18,18,1,1,1,1,1,1,2,6,6,3,3,3,3,6,6,9,18,1,1,1,3,3,3,6,3,3,3,3,3,6,6,1,1,1,
1,1,1,1,3,3,1,1,1,1,1,1,1,1],[1,15,16,5,30,16,15,20,16,1,1,1,1],[1,10,15,16,
10,10,5,15,15,30,40,15,15,6,10,10,10,10,10,10,10,5,15,15,15,15,15,15,6,6,6,5,
10,10,10,10,10,10,10,15,6,6,6,5,5,10,5,6,5,1,1,1,1,1],[1,7,21,3,15,7,21,1,7,7,
21,21,21,1,7,21,7,1,3,3,7,7,7,1,1,2,3,7,1,1,1,1,2,3,3,1,1,3,1,1,1,1],[1,8,27,
16,8,9,4,60,20,24,32,4,18,20,30,4,4,8,9,4,12,12,8,12,6,2,4,36,6,2,12,12,20,8,
24,8,6,6,12,4,2,3,3,4,9,6,4,4,4,12,8,4,2,6,4,4,4,2,6,6,4,4,4,4,2,12,12,4,12,4,
18,12,2,2,4,4,12,12,4,12,2,4,1,1,6,4,9,1,2,3,3,1,2,6,4,2,2,2,4,6,2,2,4,4,4,2,
4,4,2,6,4,2,6,2,4,1,1,1,3,3,3,3,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,15,36,24,
16,5,30,54,54,96,48,24,15,9,27,54,54,16,22,8,12,8,24,24,1,27,27,16,12,48,24,6,
24,9,8,1,1,2,6,6,8,3,3,6,1,1],[1,15,12,24,16,5,30,18,18,16,24,48,15,3,9,18,18,
16,22,8,12,8,1,9,9,16,12,6,12,3,8,1,1,2,1,3,1,1],[1,27,24,16,5,48,18,16,72,18,
9,36,16,22,8,12,8,1,9,9,16,12,18,3,8,1,1,2,1,3,1,1],[1,10,9,12,12,4,9,18,18,
48,27,27,12,4,12,4,4,12,12,18,27,9,27,9,9,18,9,9,1,12,4,12,12,12,12,12,9,9,9,
9,9,9,9,1,1,1,4,4,12,9,1,3,3,2,2,4,4,1,3,3,1,1,1,1,2,2,1,1,1,1,1,1,1,1],[1,35,
5,60,30,40,16,20,15,20,60,20,16,1,15,10,15,10,16,5,5,5,5,1,1,1],[1,21,22,28,
14,63,21,21,28,28,28,8,14,21,21,21,42,14,28,8,21,8,14,14,14,8,14,1,1],[1,28,
21,28,42,14,21,28,28,28,8,21,21,21,14,28,8,21,8,14,8,1,1],[1,21,28,28,14,42,
21,28,28,28,8,21,21,21,14,28,8,21,8,14,8,1,1],[1,45,40,30,45,36,120,45,10,36,
30,10,30,10,12,1],[1,15,30,21,10,5,45,45,6,70,10,30,15,30,45,10,6,10,5,5,15,
30,15,6,10,10,10,18,30,15,15,6,10,5,1,6,5,3,1,1],[1,10,15,21,10,5,15,15,6,10,
10,10,30,15,15,10,6,10,5,5,15,10,15,6,10,10,10,6,5,15,6,5,10,1,6,5,1,1,1],[1,
15,48,21,10,5,90,6,1,30,10,75,15,30,15,10,6,18,18,10,5,5,15,15,30,6,10,10,10,
18,5,15,6,6,6,10,5,1,6,5,3,1,1],[1,27,48,16,9,60,72,18,16,48,48,30,12,9,12,36,
36,36,18,18,8,16,48,48,2,3,3,9,18,18,36,36,18,36,36,12,16,24,3,6,9,9,18,18,8,
12,12,12,1,9,9,12,3,1,1],[1,24,27,64,9,12,60,12,18,64,30,9,36,12,18,12,36,18,
36,48,96,2,3,3,12,9,12,18,18,36,18,36,16,3,6,9,9,18,18,8,12,1,9,9,12,3,1,1],[
1,27,16,64,9,60,24,18,64,30,4,9,12,36,12,12,6,6,48,96,2,3,3,9,6,6,12,12,18,12,
12,16,1,6,9,3,6,6,8,12,1,3,3,4,1,1,1],[1,27,24,16,9,60,60,18,60,32,48,30,12,9,
12,36,12,6,36,6,60,72,12,8,16,16,16,2,3,3,9,12,36,6,12,6,18,36,12,12,12,16,24,
16,6,12,9,3,3,6,12,6,6,8,12,4,4,8,8,1,3,3,6,6,4,8,3,1,1],[1,8,27,16,9,4,60,4,
18,32,48,30,9,12,12,6,4,36,6,12,8,16,16,16,2,3,3,4,9,4,6,6,12,18,12,12,24,16,
1,6,9,3,6,6,8,12,4,4,1,3,3,4,1,1,1],[1,27,24,64,9,60,60,18,60,64,30,12,9,12,
36,12,6,36,6,60,72,12,48,96,2,3,3,9,12,36,6,12,6,18,36,12,12,32,48,6,12,9,3,3,
6,12,6,6,8,12,1,3,3,6,6,8,4,3,1,1],[1,27,24,16,9,60,60,18,60,32,48,30,12,9,12,
36,12,6,36,6,60,72,12,20,16,16,16,2,3,3,9,12,36,6,12,6,18,36,12,12,24,12,16,6,
12,9,3,3,6,12,6,6,1,4,4,4,1,3,3,6,6,2,3,4,3,1,1,1,1],[1,10,9,12,24,4,9,27,27,
12,12,4,48,36,24,27,9,27,1,4,8,36,12,9,1,1,1,4,8,12,12,9,4,1,3,3,12,9,4,4,4,1,
3,3,4,1,1,1],[1,9,36,12,24,4,54,27,12,12,12,36,24,36,36,9,27,27,1,4,8,36,36,
27,1,4,12,12,12,24,9,4,3,6,12,9,4,4,4,1,3,3,4,3,1,1],[1,9,36,12,24,4,54,27,24,
48,12,12,36,36,9,27,27,1,4,8,36,36,27,1,4,12,12,12,24,9,4,3,6,12,9,4,4,4,1,3,
3,4,3,1,1],[1,35,16,5,60,30,16,80,20,15,60,16,20,16,1,15,15,20,16,5,1,1,5,1,1,
1],[1,27,48,64,9,60,18,144,30,9,12,36,64,48,48,96,48,2,3,3,9,18,12,48,6,9,48,
2,8,16,12,12,1,6,8,1,1,2,1],[1,27,48,24,16,5,48,144,18,72,112,16,48,72,48,18,
30,9,36,54,18,36,18,72,108,16,22,8,12,8,72,48,24,1,9,36,54,18,36,9,36,16,16,
16,12,12,60,24,18,12,24,3,12,9,9,18,16,8,1,1,2,18,12,6,9,8,4,1,3,3,3,6,1,3,3,
1,1,1,1],[1,28,21,28,22,28,42,14,63,42,112,21,21,28,28,28,28,28,28,28,8,14,42,
21,21,21,21,21,42,42,21,21,14,28,28,28,28,28,28,28,8,8,8,21,21,21,21,21,21,21,
8,14,14,28,14,8,21,8,8,8,14,8,1,1,1,1,1],[1,45,30,40,30,135,45,45,36,120,40,
120,30,45,45,45,90,10,36,30,120,45,10,40,36,30,30,30,10,20,30,12,10,12,1,1],[
1,45,36,40,30,90,45,36,120,45,45,45,10,36,36,36,30,45,10,36,30,10,12,10,1,1],[
1,45,40,30,90,45,36,120,45,45,45,10,36,30,45,10,36,30,10,20,12,10,1,1],[1,10,
15,48,30,21,10,5,15,45,90,120,15,45,6,1,10,30,70,10,30,75,10,30,15,30,30,15,
45,45,15,45,45,45,10,6,18,18,10,5,5,15,30,30,10,10,15,15,15,30,90,30,30,30,15,
15,6,45,10,10,10,10,10,10,10,6,18,18,5,30,15,5,15,30,15,15,15,15,15,15,6,6,6,
10,10,10,10,10,5,10,10,18,15,15,1,6,6,6,5,10,5,5,1,3,3,6,5,1,3,1,1,1,1],[1,24,
27,16,24,64,9,12,60,60,24,96,12,18,60,64,64,64,30,12,4,24,9,12,36,36,24,12,18,
6,12,36,18,6,12,12,60,24,72,24,6,6,36,12,48,96,64,2,3,3,12,9,6,12,12,12,36,24,
12,6,18,12,12,12,6,18,6,12,12,12,12,6,12,12,12,36,12,18,36,6,6,12,12,12,12,12,
36,6,12,16,32,48,16,1,3,6,12,9,3,6,9,3,3,6,6,12,6,6,6,12,18,6,6,12,12,12,6,12,
12,6,6,12,6,18,6,12,8,12,16,1,3,3,3,3,9,9,6,6,6,6,6,6,6,6,8,4,12,4,3,1,3,3,3,
3,3,1,4,3,1,1,1,1],[1,8,27,48,24,16,9,4,60,60,72,96,4,18,60,16,32,48,32,48,30,
12,12,24,9,12,12,36,24,12,6,6,4,36,6,6,36,36,60,24,72,24,18,18,12,12,8,16,16,
32,16,48,48,32,16,16,2,3,3,4,9,18,12,12,12,36,24,4,6,6,12,12,12,6,6,18,12,12,
12,12,6,36,36,12,12,12,18,36,6,6,12,12,36,36,12,12,6,12,12,16,16,16,24,16,16,
16,16,16,3,1,6,12,9,3,6,3,9,3,6,18,12,6,6,6,12,6,6,6,12,12,12,6,12,12,6,18,12,
6,6,6,12,8,12,4,4,12,4,12,4,8,8,16,1,3,3,9,9,3,3,6,6,6,6,6,6,6,6,4,4,4,12,4,4,
4,8,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,10,9,36,36,12,24,4,9,54,54,144,27,27,12,
24,12,12,48,12,12,36,24,4,48,36,24,36,36,54,27,9,27,27,27,54,27,27,1,4,8,36,
36,12,48,12,36,36,24,36,72,36,36,36,9,27,27,27,27,27,27,1,1,4,4,1,4,8,12,12,
12,12,12,12,24,24,9,36,36,4,27,1,4,3,3,6,6,12,12,12,12,12,12,12,12,24,9,9,9,4,
4,4,4,4,4,4,1,3,3,3,3,3,3,6,6,12,9,4,4,4,4,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,
1],[1,75,160,25,180,90,96,160,90,45,60,180,96,160,360,6,15,15,45,90,120,30,45,
30,60,16,48,5,6,10,6,5,1],[1,35,16,5,60,30,120,16,80,20,15,60,60,60,16,20,80,
16,1,15,30,15,30,48,20,16,5,15,15,1,20,16,15,1,5,1,5,1,3,1,1],[1,27,72,48,64,
9,60,180,18,180,288,192,144,30,36,9,36,108,12,18,36,18,180,216,36,64,48,48,96,
48,144,144,2,3,3,9,36,108,18,36,18,18,108,36,36,64,12,96,192,144,48,144,6,36,
9,9,9,18,36,18,18,48,2,8,16,12,12,12,12,48,48,1,9,9,18,18,48,12,24,6,12,12,48,
9,8,1,1,2,6,6,8,3,3,6,1,1],[1,27,48,48,64,9,60,72,18,16,48,144,192,30,12,9,12,
36,36,36,18,18,64,48,48,96,48,48,48,2,3,3,9,18,18,36,36,18,36,36,64,12,16,48,
48,3,6,9,9,18,18,48,2,8,16,12,12,12,12,1,9,9,16,6,12,12,3,8,1,1,2,1,3,1,1],[1,
24,27,48,64,9,12,60,12,18,64,96,144,30,9,36,12,18,12,36,18,36,64,48,48,96,48,
48,48,2,3,3,12,9,12,18,18,36,18,36,64,12,16,48,48,3,6,9,9,18,18,48,2,8,16,12,
12,12,12,1,9,9,16,6,12,12,3,8,1,1,2,1,3,1,1],[1,45,36,30,40,30,135,90,90,45,
45,36,120,40,120,30,45,90,45,45,45,45,90,90,45,45,10,36,36,36,30,120,45,45,45,
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],[1,75,40,160,25,180,180,90,180,96,160,160,160,90,40,45,60,120,60,30,180,
30,180,240,60,96,160,360,160,6,15,15,45,60,120,30,60,30,90,120,60,60,96,120,
120,160,40,30,40,45,15,15,30,60,30,30,30,60,40,16,48,5,15,15,30,30,6,10,30,10,
20,16,16,15,6,5,10,6,5,1,1],[1,24,27,48,72,48,64,9,12,60,180,72,288,12,18,180,
16,64,288,192,48,96,144,192,30,36,12,72,9,36,36,108,72,12,18,18,12,36,18,18,
36,36,180,72,216,72,18,18,36,36,64,48,48,96,48,48,96,144,48,48,96,192,144,48,
2,3,3,12,9,18,36,36,36,108,72,12,18,18,36,36,36,18,18,18,36,36,36,36,18,36,36,
36,36,36,18,108,18,18,36,36,36,36,36,36,18,36,64,64,64,12,16,96,192,144,16,48,
48,48,144,48,48,48,48,3,3,6,36,9,9,18,9,9,9,18,18,36,18,18,18,36,18,18,18,36,
36,36,18,36,36,18,18,36,18,18,18,36,64,48,2,8,16,12,12,12,12,12,12,12,12,48,
48,48,48,1,9,9,9,9,9,9,18,18,18,18,18,18,18,18,16,16,48,12,24,6,12,12,12,12,
12,12,12,12,12,12,48,3,3,9,9,9,9,9,8,16,1,1,2,6,6,12,12,9,8,1,1,3,3,3,3,6,1,3,
3,1,1,1,1],[1,75,96,160,25,180,90,96,160,480,90,45,60,180,160,96,140,160,360,
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],[1,75,120,96,160,25,180,540,90,540,96,640,160,
480,480,480,90,120,45,180,360,60,90,180,90,540,720,180,160,96,140,160,360,160,
480,480,480,96,6,15,15,45,180,360,90,180,90,90,360,180,180,160,160,160,288,60,
120,360,600,480,180,120,480,96,30,120,45,45,45,90,180,90,90,160,160,6,30,60,
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],[1,315,1120,105,1260,1890,2016,3360,960,630,945,1260,3780,280,2016,1680,
5040,42,315,315,945,1890,280,960,5040,630,945,840,420,1260,336,2016,105,280,
252,420,252,360,105,168,42,1],[1,280,315,1120,105,1260,1260,1260,1890,2016,
3360,3360,1120,960,630,945,3780,1260,1890,1260,3780,1890,3780,280,2016,1680,
5040,3360,960,42,315,315,1260,945,1260,1890,1890,3780,1890,3780,280,280,280,
2016,960,1680,5040,315,630,945,945,1890,1890,280,840,840,960,420,1260,336,
2016,105,945,945,280,840,840,252,420,1260,336,315,280,252,360,105,360,168,105,
168,42,1,1],[1,315,336,1120,105,1260,2520,1890,2016,1120,3360,3360,960,630,
420,945,1260,3780,1260,1260,630,630,280,2016,2016,2016,1680,5040,3360,960,42,
315,315,945,630,630,1260,1260,1890,1260,1260,280,1120,2016,960,5040,1680,105,
630,945,315,630,630,840,560,960,420,1260,336,2016,105,315,315,280,280,280,252,
420,420,336,105,280,252,360,105,120,168,105,56,42,1,1],[1,315,120,1120,105,
1260,1260,1890,1260,2016,3360,1120,3360,960,630,420,945,1260,1260,1260,630,
3780,630,1260,2520,1260,280,2016,1680,5040,3360,960,42,315,315,945,1260,1260,
630,1260,630,1890,1260,1260,1260,280,1120,2016,960,5040,1680,1680,1680,630,
420,945,315,315,630,1260,630,630,840,560,960,420,1260,1680,336,2016,105,315,
315,630,630,280,280,280,252,420,420,420,420,336,672,315,280,252,360,105,420,
252,120,168,105,56,42,42,1,1],[1,315,336,960,1120,105,1260,1890,2016,3360,
5040,960,630,945,1260,3780,280,1120,2240,2016,840,1680,5040,1680,2016,42,315,
315,945,1890,280,3360,960,960,1920,1260,5040,2520,1120,2016,630,945,840,1680,
42,420,840,1260,1260,1120,336,2016,960,105,280,252,420,630,420,252,360,336,
105,105,210,280,252,420,168,252,105,42,42,1,1],[1,280,315,336,120,1120,105,
1260,1260,1260,2520,3360,1260,1890,1260,2016,3360,1120,3360,1120,1120,3360,
3360,960,630,420,420,2520,945,1260,3780,1260,2520,1260,1890,630,1260,3780,
1890,630,1260,1260,1260,2520,2520,2520,630,630,3780,1260,280,2016,2016,2016,
1680,5040,3360,1120,3360,3360,3360,3360,3360,960,960,960,42,315,315,1260,945,
630,1260,1260,1260,1260,2520,1260,630,1890,1260,1260,1260,630,1890,630,1260,
1260,1260,1260,630,1260,1260,1260,3780,1260,1890,1260,630,630,1260,1260,1260,
1260,1260,3780,630,1260,280,280,280,1120,1120,2016,2016,2016,960,1680,5040,
1680,1680,3360,1680,1680,960,105,315,630,420,945,315,630,945,315,315,630,630,
1260,630,630,630,1260,1890,630,630,1260,1260,1260,630,1260,1260,630,630,1260,
630,1890,630,1260,280,840,840,560,560,1120,1120,2016,960,960,960,420,1260,
1680,1680,336,2016,105,315,315,315,315,945,945,630,630,630,630,630,630,630,
630,280,840,840,280,280,280,280,560,560,252,960,420,420,420,420,1260,420,336,
336,672,336,315,105,315,315,315,315,315,280,280,280,280,280,280,280,252,360,
105,420,420,336,315,280,252,120,360,120,168,105,105,105,120,56,56,168,105,42,
56,42,1,1,1,1,1],[1,315,360,336,960,1120,105,1260,3780,1890,3780,2016,960,
3360,3360,3360,5040,10080,960,630,1260,945,3780,3780,1260,1890,3780,1890,3780,
7560,3780,280,1120,2240,2016,840,1680,5040,1680,5040,10080,5040,2880,2016,42,
315,315,945,3780,3780,1890,3780,1890,1890,3780,3780,3780,280,1120,3360,3360,
3360,6720,6048,960,960,1920,1260,5040,5040,5040,5040,2520,5040,5040,1120,2016,
630,1260,945,945,945,1890,3780,1890,1890,840,1680,3360,1680,960,2880,42,420,
840,1260,1260,1260,1260,2520,5040,2520,1120,1120,1120,336,2016,2016,960,105,
945,945,1890,1890,280,840,840,1680,252,420,420,1260,630,1260,1260,1260,2520,
1120,1008,2016,960,945,420,840,252,360,336,105,105,210,630,1260,630,280,252,
420,420,420,756,360,168,336,315,315,630,280,252,105,420,168,42,252,105,126,42,
42,1,3,1,1],[1,280,315,336,960,1120,105,1260,1260,1260,1890,2016,3360,3360,
1120,3360,5040,6720,960,630,945,3780,1260,1890,1260,3780,1890,3780,280,1120,
2240,2016,840,1680,5040,1680,5040,3360,5040,960,2016,42,315,315,1260,945,1260,
1890,1890,3780,1890,3780,280,280,280,1120,2240,3360,3360,2016,960,960,1920,
1260,1680,5040,2520,5040,1120,2016,315,630,945,945,1890,1890,280,840,840,1680,
3360,960,960,1920,42,420,840,1260,1260,1260,1260,1120,1120,1120,336,2016,2016,
960,105,945,945,280,840,840,1680,252,420,630,1260,1260,1120,336,960,315,280,
420,252,360,336,105,105,210,280,252,420,360,168,336,105,315,280,252,105,168,
42,105,42,1,1,1,1],[1,315,1008,336,960,1120,105,1260,7560,1890,2016,336,3360,
3360,5040,6720,5040,10080,960,630,1260,945,1260,3780,3780,3780,1890,1890,280,
1120,2240,2016,6048,6048,840,1680,5040,1680,5040,5040,10080,2880,2016,42,315,
315,945,1890,1890,3780,3780,1890,3780,3780,280,1120,3360,3360,3360,6720,6048,
960,960,1920,1260,5040,1680,2520,5040,1120,2016,2016,2016,315,630,945,945,
1890,1890,840,1680,3360,1680,960,2880,42,420,840,1260,1260,1260,1260,1120,
1120,1120,336,2016,2016,960,105,945,945,280,840,840,1680,252,420,630,1260,
1260,1120,1008,960,315,420,840,252,360,336,105,105,210,280,252,420,360,168,
336,105,315,280,252,105,168,42,105,42,1,3,1,1],[1,280,315,1008,360,336,960,
1120,105,1260,1260,3780,7560,10080,1260,1890,3780,2016,336,960,3360,3360,3360,
3360,3360,5040,6720,1120,3360,5040,6720,10080,10080,960,630,1260,1260,7560,
945,3780,3780,3780,7560,1260,1890,1890,1260,3780,1890,1890,3780,3780,3780,
7560,7560,7560,1890,1890,3780,3780,280,1120,2240,2016,6048,6048,840,1680,5040,
1680,5040,10080,3360,3360,3360,5040,5040,5040,6720,10080,10080,10080,10080,
10080,5040,5040,960,2880,2880,2016,42,315,315,1260,945,1890,3780,3780,3780,
3780,7560,1260,1890,1890,3780,3780,3780,1890,1890,1890,3780,3780,3780,3780,
1890,3780,3780,3780,3780,3780,1890,3780,1890,1890,3780,3780,3780,3780,3780,
3780,1890,3780,280,280,1120,1120,280,1120,2240,3360,3360,3360,3360,3360,3360,
6720,6720,2016,6048,6048,960,960,1920,1260,1680,5040,5040,5040,5040,1680,5040,
10080,2520,5040,5040,5040,5040,5040,5040,5040,1120,2880,2016,2016,2016,315,
315,630,1260,945,945,1890,945,945,945,1890,1890,3780,1890,1890,1890,3780,1890,
1890,1890,3780,3780,3780,1890,3780,3780,1890,1890,3780,1890,1890,1890,3780,
280,1120,840,840,1680,1680,3360,3360,3360,3360,3360,1680,3360,3360,3360,6720,
6048,960,960,960,960,1920,2880,2880,42,420,840,1260,1260,1260,1260,1260,1260,
1260,1260,2520,5040,5040,2520,5040,1120,1120,1120,1120,1120,1120,1120,336,
2016,2016,2016,2016,960,105,945,945,945,945,945,945,1890,1890,1890,1890,1890,
1890,1890,1890,280,840,840,840,840,840,840,1680,1680,1680,3360,1680,1680,252,
960,2880,420,420,1260,630,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,
1260,2520,1120,1120,1120,1120,1120,1120,1120,336,1008,2016,1008,2016,960,960,
960,315,315,945,945,945,945,945,280,420,840,840,840,840,840,840,1680,252,360,
336,105,105,210,630,1260,630,1260,1260,280,1120,252,1008,960,945,420,420,420,
840,756,360,360,360,168,336,336,336,105,105,315,315,315,315,630,280,280,280,
252,105,420,360,168,168,168,336,315,315,280,42,252,105,105,105,168,126,105,42,
42,1,1,3,3,1,3,1,1,1,1]],
[1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,5,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,7,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,9,9,9,10,10,10,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,14,14,14,15,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,20,20,20,
21,21,21,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,27,28,30,30,30,32,
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,
32,32,32,32,32,32,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,40,42,42,42,
42,42,42,42,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,54,54,54,54,54,54,
54,60,60,60,60,60,63,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,72,72,72,72,
72,72,72,72,72,72,72,72,72,80,84,84,96,96,96,96,96,96,96,96,96,96,96,96,96,96,
96,96,108,108,108,108,108,108,108,120,120,120,120,120,126,126,126,128,128,128,
128,128,128,128,144,144,144,144,144,144,144,144,144,160,168,180,192,192,192,
192,192,192,192,192,216,216,240,240,252,256,288,288,288,288,320,336,336,336,
360,360,360,360,384,384,384,384,384,384,384,432,432,432,480,576,576,672,720,
720,720,720,768,768,864,960,960,1152,1152,1152,1440,1920,2304,2880,5760,20160,
40320,40320,40320,60480,80640,120960,120960,120960,241920],
[409,389,388,354,382,386,355,352,397,350,347,269,186,162,350,326,269,320,386,
355,287,286,287,287,286,248,224,352,287,248,224,162,162,355,375,347,349,186,
356,269,275,273,186,350,326,326,350,269,326,326,269,275,269,186,185,186,326,
326,269,275,389,352,315,320,225,225,357,339,246,339,248,162,286,287,287,248,
248,248,224,162,161,162,162,162,248,248,355,292,292,320,399,387,388,350,356,
326,269,269,275,273,186,350,326,326,275,269,269,326,326,326,275,275,269,269,
326,269,269,275,269,269,330,273,326,326,275,275,275,275,269,269,326,275,389,
389,352,352,389,352,315,286,286,287,287,287,287,224,224,320,225,225,355,355,
323,350,339,246,246,244,245,339,248,162,308,246,245,248,248,248,248,248,352,
292,320,320,320,387,388,375,347,356,356,326,356,356,356,326,326,269,326,326,
330,273,326,326,326,269,269,275,326,269,275,326,326,275,326,326,326,275,389,
352,360,360,337,337,287,286,287,287,287,339,287,287,286,224,225,355,355,355,
355,323,292,292,399,381,357,350,350,350,349,350,350,350,350,308,245,246,308,
248,352,352,352,352,352,352,352,386,318,320,320,320,355,397,356,356,356,356,
356,356,326,326,326,330,330,326,326,326,389,360,360,360,360,360,360,337,339,
337,287,339,339,391,355,292,381,381,347,375,347,350,350,350,349,349,349,350,
350,350,350,308,352,352,352,352,352,352,352,386,354,318,354,320,355,355,355,
388,387,356,356,356,356,356,389,381,360,360,360,360,360,360,339,391,382,386,
397,397,392,375,347,375,349,350,389,352,391,354,355,356,381,381,381,360,361,
382,382,382,395,386,386,386,397,397,387,388,388,387,375,389,389,389,391,397,
381,382,395,395,395,386,387,388,389,399,391,397,397,397,395,396,397,399,399,
409,409,405,405,409,405,409,409,409,409],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,6,7,8,8,6,8,8,6,7,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,1,1,1,1,18,18,1,9,9,11,1,1,1,8,6,8,
6,6,6,7,8,6,8,8,8,6,1,34,34,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1,3,1,
3,16,16,16,16,16,16,3,3,16,16,16,16,16,16,16,16,16,16,61,61,62,62,1,1,1,8,8,8,
8,6,6,7,7,18,18,18,1,34,34,44,68,69,69,67,68,6,6,8,9,11,9,30,30,30,3,6,8,34,
18,6,90,9,3,9,11,9,9,9,9,3,3,3,16,16,3,3,9,11,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,61,62,61,61,61,61,62,61,62,62,62,9,6,8,8,7,18,151,7,34,34,
34,34,34,91,91,9,44,44,154,92,154,154,154,44,67,68,69,67,30,8,62,61,62,61,171,
171,256,257,90,90,18,34,9,39,39,39,39,39,39,16,39,39,35,35,16,16,39,134,134,
61,61,61,134,134,134,68,61,62,70,220,91,151,34,233,234,234,91,91,44,154,154,
239,239,92,154,154,154,154,163,171,171,171,171,61,62,171,256,256,257,256,90,
151,151,34,93,92,39,93,92,95,95,134,91,211,211,211,211,134,61,220,290,341,256,
262,262,91,233,234,233,239,154,277,171,91,256,151,180,332,233,234,211,290,341,
341,341,365,342,256,342,344,343,262,344,262,343,296,277,351,351,290,262,332,
341,365,365,365,342,343,344,351,390,353,380,344,343,365,390,380,390,398,400,
400,400,400,400,400,404,400,404,404],
[(  1, 61, 83, 66, 68, 33, 76, 55, 40, 42)(  2,100, 69, 72, 35, 63, 57,105,
  58, 37)(  3,104, 90, 30, 25, 36, 71, 31, 23, 10)(  4, 52, 50, 43, 29, 51,
  79, 92, 53, 64)(  5, 77, 20, 48, 80, 97, 98, 18, 28, 19)(  6, 46, 74, 82,
  12, 49, 94,  8, 56, 84)(  7, 99, 93, 17, 24, 44,102, 34, 32, 54)
(  9, 22, 81, 13, 85, 75, 59, 41, 67, 73)( 11, 91, 65, 39, 86, 16, 88, 87, 60,
 70)( 14, 78, 38, 96, 62)( 15, 26,101, 27, 89, 47, 45,103, 21, 95),
(  1, 16, 13, 82, 70, 68, 83, 21, 39, 86, 46, 99,105, 64)(  2, 87, 33, 90, 32,
 12, 26, 65, 73, 78, 57, 72,100, 48)(  3, 53, 93,  6, 25, 34, 31, 91, 95,101,
   7, 44, 75, 10)(  4, 84, 92, 14, 85, 43, 19)(  5, 28,103, 66, 74, 59, 42)
(  8, 49, 77, 89, 76, 67, 15)(  9, 58, 50, 18, 29, 69, 22, 81, 54, 47, 27, 20,
 17, 23)( 11, 35, 62, 60, 40, 98, 37, 71, 41, 55, 88, 24, 79, 51)
( 30, 96, 56, 52,102, 36, 80, 61,104, 45, 94, 63, 38, 97)],
[[[[]]],[[[1,2,2,2,1,1,2,1],[3,3]]],[[[1,2],[2,2,3,2,2,-1,1,-1,2,-1],[4,
-4]]],[[[1,2],[2,1,3,-1,2,1,1,-1,3,-1]]],[[[1,2],[3,1,2,-2,3,1,2,-1,3,1]]],[[[
1,1,2,-1],[3,-2]]],[[[1,2],[2,-1,3,1,2,-1,1,1,2,-1],[4,2]]],[[[1,1,2,1],[3,1,
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3],[1,1,2,-1],[5,1,4,1,5,1,4,1,5,-1,4,1,5,-1]],[[1,2,2,2,1,1,2,1],[3,3]]],[[[
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1],[6,1,4,1],[6,2,4,1,6,1,7,-2,6,-1]],[[1,2],[2,1,3,-1,2,1,1,-1,3,-1],[1,1,2,
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1],[3,1,1,-2,2,-1,3,1,1,-1],[1,2],[2,2,5,-1,2,-1,1,-1,2,-1,5,-1],[6,2],[4,1,6,
1,7,2]],[[1,1,2,1],[3,1,1,-2,2,-1,3,1,1,-1],[4,2]]],[[[1,2,2,2,1,1,2,1],[3,
3],[1,1,2,-1],[4,1,5,1],[5,1,4,1,5,-1,6,1,4,1,5,-2,6,1]],[[1,2,2,2,1,1,2,1],[
3,3],[1,1,2,-1],[4,1,5,1],[5,1,4,1],[5,2,6,2,7,2]]],[[[1,2],[3,1,2,-2,3,1,2,
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1,2,-2,3,1,2,-1,3,1],[1,1,2,1,1,3,2,-1],[5,1,4,1],[6,1,5,-1,4,1,6,1,5,
-1]]],[[[1,1,2,1],[3,1,1,-2,2,-1,3,1,1,-1],[1,2],[2,2,5,-1,2,-1,1,-1,2,-1,5,
-1],[6,2,4,1,6,2,4,-1,6,1]],[[1,1,2,1],[3,1,1,-2,2,-1,3,1,1,-1],[4,2]]],[[[1,
2],[2,-1,3,1,2,-1,1,1,2,-1],[1,2],[2,1,5,2],[4,1,6,3,4,2]],[[1,2],[2,-1,3,1,2,
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2]]],[[[1,1,2,-1]]],[[[1,2,2,2,1,1,2,1],[3,3],[1,1,2,-1],[5,1,4,1,5,2,4,1,5,
1]]],[[[1,2],[2,-1,3,1,2,-1,1,1,2,-1]]],[[[1,2],[3,1,2,-2,3,1,2,-1,3,1],[1,1,
2,1,1,3,2,-1,4,1]]],[[[1,2],[2,-1,3,1,2,-1,1,1,2,-1],[1,2],[2,1,5,2],[6,1,4,
-1]]],[[[1,2],[2,1,3,2],[4,2]]],[[[1,2,2,2,1,1,2,1],[3,3],[1,1,2,-1],[4,1,5,
1],[5,1,4,1],[7,1,6,-2,5,-1,6,2,5,1,7,-1]],[[1,2,2,2,1,1,2,1],[3,3],[1,1,2,
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1,5,1],[5,1,4,1],[4,1,5,-1,6,-1,7,2,6,-1,7,1]]],[[[1,2],[3,1,2,-2,3,1,2,-1,3,
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2,2,4,2,2,-1,1,-1,2,-1],[3,2,5,-4,3,1]],[[1,2,2,1,1,-1,2,2],[3,-3]],[[1,2,2,1,
1,-1,2,2],[1,2],[2,2,4,2,2,-1,1,-1,2,-1],[3,1,5,1],[6,1,3,-2,5,1,6,1]]],[[[1,
2,2,2,1,1,2,1],[3,3],[1,1,2,-1],[4,1,5,1],[5,1,4,1],[6,1,5,1,6,1,7,1,5,1,7,-1,
6,1,7,1]],[[1,2,2,2,1,1,2,1],[3,3],[1,1,2,-1],[4,1,5,1],[5,1,4,1],[5,1,6,2,7,
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4,1,5,1,6,-2,5,-1]],[[1,2],[3,1,2,-2,3,1,2,-1,3,1],[1,1,2,1,1,3,2,-1],[4,1,5,
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3,1,2,-1,3,1],[1,1,2,1,1,3,2,-1],[4,1,5,1],[5,1,4,1],[5,1,7,-1,6,1,7,-1,6,
-2]],[[1,2],[3,1,2,-2,3,1,2,-1,3,1],[1,1,2,1,1,3,2,-1],[4,1,5,1],[6,1,4,1,5,
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1,1,2,1],[3,3],[1,1,2,-1],[5,2,4,1,5,-1,4,1,5,2]]],[[[1,1,2,1],[3,2,2,1,1,1,2,
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2,2,1,1,1,2,-2,1,2],[1,2],[1,1,2,1,5,1,2,1,1,1,2,-1,5,-1],[4,1,6,-2,4,
-1]]],[[[1,2,2,2,1,1,2,1],[3,3],[1,1,2,-1],[4,1,5,1],[5,1,4,1],[5,1,6,2,7,-2,
5,-1]],[[1,2,2,2,1,1,2,1],[3,3],[1,1,2,-1],[4,1,5,1],[6,1,5,1,4,1,5,-1,6,
-1]]],[[[1,2,2,2,1,1,2,1],[3,3],[1,1,2,-1],[4,1,5,1],[5,1,4,1],[6,1,7,2,5,2,6,
1]],[[1,2,2,2,1,1,2,1],[3,3],[1,1,2,-1],[4,1,5,1],[6,2,4,1,5,-1,4,1,5,
-1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-2,1,2],[1,2],[1,1,2,1,5,1,2,1,1,1,2,-1,5,
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2],[3,1,2,-2,3,1,2,-1,3,1],[1,1,2,1,1,3,2,-1],[4,1,5,1],[6,1,4,1,5,-1,6,1,5,1,
6,1]],[[1,2],[3,1,2,-2,3,1,2,-1,3,1],[1,1,2,1,1,3,2,-1],[4,1,5,1],[6,2,4,1,5,
1]]],[[[1,2],[2,1,3,-1,2,1,1,-1,3,-1],[1,1,2,1],[1,2,2,1,5,2,2,1],[4,1,6,1],[
7,2,6,1,4,1,6,-1,7,-2]],[[1,2],[2,1,3,-1,2,1,1,-1,3,-1],[1,1,2,1],[1,2,2,1,5,
2,2,1],[4,1,6,1],[4,1,6,-2],[8,1,7,-2,8,-1]]],[[[1,2,2,1,1,-1,2,2],[1,2],[2,2,
4,2,2,-1,1,-1,2,-1],[5,1,3,1,5,1,3,-1,5,-1,3,-2]],[[1,2,2,1,1,-1,2,2],[1,2],[
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1,-1],[1,2],[2,2,5,-1,2,-1,1,-1,2,-1,5,-1],[4,1,6,-2,4,-1,6,2]],[[1,1,2,1],[3,
1,1,-2,2,-1,3,1,1,-1],[1,2],[2,2,5,-1,2,-1,1,-1,2,-1,5,-1],[6,2,4,-1,6,
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1,2],[2,2,5,-1,2,-1,1,-1,2,-1,5,-1],[4,2],[7,1,6,-1,7,-1,4,1,6,1]]],[[[1,2],[
3,1,2,-2,3,1,2,-1,3,1],[1,1,2,1,1,3,2,-1],[5,1,4,1],[5,2,4,1,5,1,6,-2,5,
-1]],[[1,2],[3,1,2,-2,3,1,2,-1,3,1],[1,1,2,1,1,3,2,-1],[4,1,5,1],[5,1,6,1],[6,
1,7,2,6,1]]],[[[1,2,2,1,1,-1,2,2],[1,2],[2,2,4,2,2,-1,1,-1,2,-1],[3,2],[6,1,5,
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2,1],[6,1,4,1]]],[[[1,2],[2,2,3,2,2,-1,1,-1,2,-1]]],[[[1,2,2,2,1,1,2,1],[3,
3],[1,1,2,-1],[4,1,5,1],[5,1,4,1,5,-1,6,3]]],[[[1,2],[1,1,2,1,3,1,2,1,1,1,2,
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1]],[[1,2,2,1,1,-1,2,2],[1,2],[2,2,4,2,2,-1,1,-1,2,-1],[5,1,3,1,5,1,3,1]]],[[[
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-1]],[[1,2,2,1,1,-1,2,2],[3,-2]]],[[[1,2],[2,-1,3,1,2,-1,1,1,2,-1],[1,2],[2,1,
5,2],[4,2,6,2]],[[1,2],[2,-1,3,1,2,-1,1,1,2,-1],[1,2],[2,1,5,2],[6,1,4,-1,6,
-1,4,-1]]],[[[1,1,2,1],[3,1,1,-2,2,-1,3,1,1,-1],[1,2],[2,2,5,-1,2,-1,1,-1,2,
-1,5,-1],[4,1,6,1],[6,1,4,1],[7,1,8,-2,7,-1]],[[1,2],[2,2,3,-1,2,-1,1,-1,2,-1,
3,-1],[4,2]]],[[[1,1,2,1],[3,1,1,-2,2,-1,3,1,1,-1],[1,2],[2,2,5,-1,2,-1,1,-1,
2,-1,5,-1],[4,1,6,1],[4,1,6,-1,7,-2,6,1,7,1]],[[1,2],[2,2,3,-1,2,-1,1,-1,2,-1,
3,-1],[4,2]]],[[[1,2],[2,2,3,-1,2,-1,1,-1,2,-1,3,-1]]],[[[1,2,2,2,1,1,2,1],[3,
3],[1,1,2,-1],[4,1,5,1],[5,1,4,1],[6,1,7,2,5,2,6,1]],[[1,2,2,2,1,1,2,1],[3,
3],[1,1,2,-1],[4,1,5,1],[5,1,6,1],[7,1,6,1,5,1,4,1,7,-1]]],[[[1,2,2,2,1,1,2,
1],[3,3],[1,1,2,-1],[4,1,5,1],[4,1,5,-2,6,1,5,1,4,1,5,-1,6,1]],[[1,2,2,2,1,1,
2,1],[3,3],[1,1,2,-1],[4,1,5,1],[5,1,4,1],[5,1,7,-1,6,2,7,-1,5,-1]]],[[[1,2,2,
2,1,1,2,1],[3,3],[1,1,2,-1],[4,1,5,1],[5,1,4,1,5,-1,6,1,4,1,5,-2,6,1]],[[1,2,
2,2,1,1,2,1],[3,3],[1,1,2,-1],[4,1,5,1],[6,2,4,1,5,-1,4,1,5,-1]]],[[[1,2,2,2,
1,1,2,1],[3,3],[1,1,2,-1],[4,1,5,1],[5,1,4,1],[5,1,7,-1,6,2,7,-1,5,-1]],[[1,2,
2,2,1,1,2,1],[3,3],[1,1,2,-1],[4,1,5,1],[6,1,4,1,5,-2,6,1,5,1,6,1]]],[[[1,2,2,
1,1,-1,2,2],[1,2],[2,2,4,2,2,-1,1,-1,2,-1],[3,1,5,2,3,1]],[[1,2,2,1,1,-1,2,
2],[3,-3]]],[[[1,2,2,1,1,-1,2,2],[1,2],[2,2,4,2,2,-1,1,-1,2,-1],[3,1,5,2,3,-1,
5,1]],[[1,2,2,1,1,-1,2,2],[3,-3]]],[[[1,2,2,1,1,-1,2,2],[1,2],[2,2,4,2,2,-1,1,
-1,2,-1],[3,2],[5,1,3,1,5,1],[7,1,6,1,7,-1,6,-1]],[[1,2,2,1,1,-1,2,2],[3,
-3]],[[1,2,2,1,1,-1,2,2],[1,2],[2,2,4,2,2,-1,1,-1,2,-1],[5,1,3,-1,5,-1,3,1,5,
1,3,2]]],[[[1,2,2,1,1,-1,2,2],[1,2],[2,2,4,2,2,-1,1,-1,2,-1],[3,1,5,-2,3,2,5,
1]],[[1,2,2,1,1,-1,2,2],[1,2],[2,2,4,2,2,-1,1,-1,2,-1],[3,1,5,2,3,-2]]],[[[1,
2,2,2,1,1,2,1],[3,3],[1,1,2,-1],[4,1,5,1],[4,1,5,-1,4,1,5,-1,6,2]],[[1,2,2,2,
1,1,2,1],[3,3],[1,1,2,-1],[5,1,4,1,5,1,4,1,5,-1,4,1,5,-1]],[[1,2,2,2,1,1,2,
1],[3,3]]],[[[1,2,2,1,1,-1,2,2],[1,2],[2,2,4,2,2,-1,1,-1,2,-1],[3,1,5,-2,3,2,
5,1]],[[1,2,2,1,1,-1,2,2],[1,2],[2,2,4,2,2,-1,1,-1,2,-1],[3,1,5,2,3,1]]],[[[1,
1,2,1],[3,1,1,-2,2,-1,3,1,1,-1],[1,2],[2,2,5,-1,2,-1,1,-1,2,-1,5,-1],[4,1,6,
1],[7,1,4,1,7,-1,6,-1,7,-1]],[[1,2],[2,2,3,-1,2,-1,1,-1,2,-1,3,-1],[4,
-5]]],[[[1,2],[2,1,3,-1,2,1,1,-1,3,-1],[1,1,2,1],[1,2,2,1,5,2,2,1],[4,1,6,1],[
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2,2,1],[6,1,4,1,6,3,4,1]]],[[[1,2],[2,-1,3,1,2,-1,1,1,2,-1],[1,2],[2,1,5,2],[
4,1,6,-1,4,-1,6,-2]],[[1,2],[2,-1,3,1,2,-1,1,1,2,-1],[1,2],[2,1,5,2],[6,1,4,
-3]]],[[[1,2,2,1,1,-1,2,2],[1,2],[2,2,4,2,2,-1,1,-1,2,-1],[5,1,3,-1,5,-1,3,1,
5,1,3,2]],[[1,2,2,1,1,-1,2,2],[1,2],[2,2,4,2,2,-1,1,-1,2,-1],[5,1,3,-1,5,2,3,
1]]],[[[1,2,2,1,1,-1,2,2],[1,2],[2,2,4,2,2,-1,1,-1,2,-1],[3,1,5,1],[6,1,3,-2,
5,1,6,1]],[[1,2,2,1,1,-1,2,2],[1,2],[2,2,4,2,2,-1,1,-1,2,-1],[3,1,5,2,3,
-2]]],[[[1,1,2,1],[3,1,1,-2,2,-1,3,1,1,-1],[1,2],[2,2,5,-1,2,-1,1,-1,2,-1,5,
-1],[6,2,4,-1,6,-2,4,-2]],[[1,1,2,1],[3,1,1,-2,2,-1,3,1,1,-1],[1,2],[2,2,5,-1,
2,-1,1,-1,2,-1,5,-1],[6,1,4,-1,6,-1,4,1,6,1,4,1]]],[[[1,2,2,1,1,-1,2,2],[1,
2],[2,2,4,2,2,-1,1,-1,2,-1],[3,2],[5,1,3,-1,5,-1,6,-1,5,1]],[[1,2,2,1,1,-1,2,
2],[1,2],[2,2,4,2,2,-1,1,-1,2,-1],[3,1,5,1,3,2,5,2]]],[[[1,2,2,1,1,-1,2,2],[1,
2],[2,2,4,2,2,-1,1,-1,2,-1],[3,2],[5,1,3,-1,5,-1,6,-1,5,1]],[[1,2],[2,2,3,2,2,
-1,1,-1,2,-1],[1,2,2,1,1,-1,2,2,4,-1],[5,1,4,-1,5,1]]],[[[1,1,2,1],[3,1,1,-2,
2,-1,3,1,1,-1],[1,2],[2,2,5,-1,2,-1,1,-1,2,-1,5,-1],[4,1,6,1],[7,1,4,-1,6,-1,
7,-1]],[[1,1,2,1],[3,1,1,-2,2,-1,3,1,1,-1],[4,2]]],[[[1,2,2,2,1,1,2,1],[3,3],[
1,1,2,-1],[4,1,5,-2]]],[[[1,2],[2,-1,3,1,2,-1,1,1,2,-1],[4,-3]],[[1,2],[2,1,3,
2],[4,2]]],[[[1,2],[2,-1,3,1,2,-1,1,1,2,-1],[1,2],[2,1,5,2],[4,1,6,-1,4,2]],[[
1,2],[2,1,3,2],[4,2]]],[[[1,2],[2,1,3,2]]],[[[1,2,2,2,1,1,2,1],[3,3],[1,1,2,
-1],[4,1,5,-3,4,1,5,-1]]],[[[1,2,2,2,1,1,2,1],[3,3],[1,1,2,-1],[4,1,5,1],[5,1,
4,1],[7,1,5,1,7,1,6,-2,7,1,5,-1,7,-1]],[[1,2,2,2,1,1,2,1],[3,3],[1,1,2,-1],[4,
1,5,1],[4,1,5,-1,6,2,4,1,5,-1]],[[1,2,2,2,1,1,2,1],[3,3],[1,1,2,-1],[4,1,5,
1],[5,1,4,1],[6,1,5,1,7,2,5,1,7,-1,6,1,7,1]],[[1,2,2,2,1,1,2,1],[3,3],[1,1,2,
-1],[4,1,5,1],[5,1,4,1],[6,1,4,1,7,2,6,-1,5,-1,6,-1]]],[[[1,2,2,2,1,1,2,1],[3,
3],[1,1,2,-1],[4,1,5,1],[5,1,6,1,5,1,4,1,5,-1,6,-2]],[[1,2,2,2,1,1,2,1],[3,
3],[1,1,2,-1],[4,1,5,1],[6,2],[7,1,4,1,5,-1,7,1]]],[[[1,2,2,2,1,1,2,1],[3,3],[
1,1,2,-1],[5,1,4,1],[5,1,6,1,5,-1,4,1],[7,2,6,1]],[[1,2,2,2,1,1,2,1],[3,3],[1,
1,2,-1],[4,1,5,1],[4,1,6,-1,5,2,4,1,6,-1]],[[1,2,2,2,1,1,2,1],[3,3],[1,1,2,
-1],[4,1,5,1],[6,1,5,2,4,1,5,-1,6,-2]]],[[[1,2,2,1,1,-1,2,2],[1,2],[2,2,4,2,2,
-1,1,-1,2,-1],[5,1,3,-1,5,3,3,-1]],[[1,2,2,1,1,-1,2,2],[3,-3]],[[1,2,2,1,1,-1,
2,2],[1,2],[2,2,4,2,2,-1,1,-1,2,-1],[3,1,5,-1,3,1,5,1]]],[[[1,2],[3,1,2,-2,3,
1,2,-1,3,1],[1,1,2,1,1,3,2,-1],[4,1,5,1],[5,1,6,1],[7,1,6,1,7,1,5,1,4,1]],[[1,
2],[3,1,2,-2,3,1,2,-1,3,1],[1,1,2,1,1,3,2,-1],[4,1,5,1],[5,1,6,1],[6,1,7,2,6,
1]],[[1,2],[3,1,2,-2,3,1,2,-1,3,1],[1,1,2,1,1,3,2,-1],[4,1,5,1],[4,1,5,-1,6,2,
4,1,5,-1]]],[[[1,2],[2,1,3,-1,2,1,1,-1,3,-1],[1,1,2,1],[1,2,2,1,5,2,2,1],[6,1,
4,1],[6,2,7,-1,4,1,6,1,7,-1,6,-1]],[[1,2],[2,1,3,-1,2,1,1,-1,3,-1],[1,1,2,1],[
1,2,2,1,5,2,2,1],[4,1,6,1],[7,1,4,1,6,1,4,1,7,-2]],[[1,2],[2,1,3,-1,2,1,1,-1,
3,-1],[1,1,2,1],[1,2,2,1,5,2,2,1],[6,1,4,1],[4,1,6,-1,7,-1,4,1,6,1,4,1,7,
1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-2,1,2],[1,2],[1,1,2,1,5,1,2,1,1,1,2,-1,5,
-1],[4,2],[4,1,6,2],[8,1,7,1,8,1,7,1]],[[1,1,2,1],[3,2,2,1,1,1,2,-2,1,2],[1,
2],[1,1,2,1,5,1,2,1,1,1,2,-1,5,-1],[6,2,4,-3,6,-2]],[[1,1,2,1],[3,2,2,1,1,1,2,
-2,1,2],[1,2],[1,1,2,1,5,1,2,1,1,1,2,-1,5,-1],[4,2],[6,1,4,1,7,1,6,1,4,1,6,1,
7,1]]],[[[1,2],[3,1,2,-2,3,1,2,-1,3,1],[1,1,2,1,1,3,2,-1],[5,1,4,1],[5,2,4,1,
5,1,6,-2,5,-1]],[[1,2],[3,1,2,-2,3,1,2,-1,3,1],[1,1,2,1,1,3,2,-1],[4,1,5,1],[
6,1,4,1,5,-1,6,1,5,1,6,1]],[[1,2],[3,1,2,-2,3,1,2,-1,3,1],[1,1,2,1,1,3,2,-1],[
4,1,5,1],[6,2,4,1,5,1]]],[[[1,2,2,1,1,-1,2,2],[1,2],[2,2,4,2,2,-1,1,-1,2,-1],[
5,1,3,1,5,1,3,-1,5,-1,3,-2]],[[1,2,2,1,1,-1,2,2],[1,2],[2,2,4,2,2,-1,1,-1,2,
-1],[5,1,3,-1,5,3,3,-1]],[[1,2,2,1,1,-1,2,2],[3,-3]]],[[[1,2],[3,1,2,-2,3,1,2,
-1,3,1],[1,1,2,1,1,3,2,-1],[4,1,5,1],[5,2,6,1,5,1,6,1,5,1,4,1]],[[1,2],[3,1,2,
-2,3,1,2,-1,3,1],[1,1,2,1,1,3,2,-1],[4,1,5,1],[5,1,6,1],[6,1,7,2,6,1]],[[1,
2],[3,1,2,-2,3,1,2,-1,3,1],[1,1,2,1,1,3,2,-1],[4,1,5,1],[6,1,4,1,5,-1,4,1,5,
-1,6,1]]],[[[1,1,2,1],[3,1,1,-2,2,-1,3,1,1,-1],[1,2],[2,2,5,-1,2,-1,1,-1,2,-1,
5,-1],[4,1,6,1],[4,2,7,1,4,-1,6,-1,7,-1]],[[1,1,2,1],[3,1,1,-2,2,-1,3,1,1,
-1],[1,2],[2,2,5,-1,2,-1,1,-1,2,-1,5,-1],[4,1,6,-2,4,-1,6,2]],[[1,1,2,1],[3,1,
1,-2,2,-1,3,1,1,-1],[1,2],[2,2,5,-1,2,-1,1,-1,2,-1,5,-1],[4,2],[7,1,6,-1,7,-1,
4,1,6,1]]],[[[1,2,2,2,1,1,2,1],[3,3],[1,1,2,-1],[5,1,4,1],[6,1,5,-1,4,1,6,1,5,
-1]],[[1,2,2,2,1,1,2,1],[3,3],[1,1,2,-1],[5,1,4,1,5,1,4,1,5,-1,4,1,5,-1]],[[1,
2,2,2,1,1,2,1],[3,3],[1,1,2,-1],[5,-3,4,1,5,-1,4,1,5,1]]],[[[1,2],[3,1,2,-2,3,
1,2,-1,3,1],[1,1,2,1,1,3,2,-1],[4,1,5,1],[5,1,4,1],[7,1,6,-2,5,1,7,-1,6,1]],[[
1,2],[3,1,2,-2,3,1,2,-1,3,1],[1,1,2,1,1,3,2,-1],[4,1,5,1],[6,1,5,1,6,1,5,1,4,
1,5,2]],[[1,2],[3,1,2,-2,3,1,2,-1,3,1],[1,1,2,1,1,3,2,-1],[4,1,5,1],[5,1,4,
1],[5,1,6,2,7,-2,5,-1]]],[[[1,2,2,2,1,1,2,1],[3,3],[1,1,2,-1],[4,1,5,1],[6,2,
5,1,4,1,5,-1,6,-2]],[[1,2,2,2,1,1,2,1],[3,3],[1,1,2,-1],[5,2,4,1,5,-1,4,1,5,
2]],[[1,2,2,2,1,1,2,1],[3,3],[1,1,2,-1],[5,1,4,1],[4,1,5,1,6,-1,5,-1,6,
1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-2,1,2],[1,2],[1,1,2,1,5,1,2,1,1,1,2,-1,5,
-1],[6,1,4,1],[7,1,4,2,6,1,7,-1]],[[1,1,2,1],[3,2,2,1,1,1,2,-2,1,2],[1,2],[1,
1,2,1,5,1,2,1,1,1,2,-1,5,-1],[6,1,4,-1,6,2,4,1,6,-1]],[[1,1,2,1],[3,2,2,1,1,1,
2,-2,1,2],[1,2],[1,1,2,1,5,1,2,1,1,1,2,-1,5,-1],[6,2,4,-3,6,2]]],[[[1,2],[3,1,
2,-2,3,1,2,-1,3,1],[1,1,2,1,1,3,2,-1],[4,1,5,1],[5,1,4,1],[7,1,6,-2,5,1,7,-1,
6,1]],[[1,2],[3,1,2,-2,3,1,2,-1,3,1],[1,1,2,1,1,3,2,-1],[4,1,5,1],[5,1,6,1],[
7,1,6,1,7,1,5,1,4,1]],[[1,2],[3,1,2,-2,3,1,2,-1,3,1],[1,1,2,1,1,3,2,-1],[4,1,
5,1],[6,1,5,1,6,1,5,1,4,1,5,2]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-2,1,2],[1,2],[1,
1,2,1,5,1,2,1,1,1,2,-1,5,-1],[4,2],[4,1,6,2],[8,1,7,1,8,1,7,1]],[[1,1,2,1],[3,
2,2,1,1,1,2,-2,1,2],[1,2],[1,1,2,1,5,1,2,1,1,1,2,-1,5,-1],[6,2,4,-3,6,2]],[[1,
1,2,1],[3,2,2,1,1,1,2,-2,1,2],[1,2],[1,1,2,1,5,1,2,1,1,1,2,-1,5,-1],[4,2],[6,
1,4,1,7,1,6,1,4,1,6,1,7,1]]],[[[1,2],[3,1,2,-2,3,1,2,-1,3,1],[1,1,2,1,1,3,2,
-1],[5,2,4,1,5,-1,4,1,5,-2,4,1,5,1]],[[1,2],[3,1,2,-2,3,1,2,-1,3,1],[1,1,2,1,
1,3,2,-1],[4,1,5,1],[5,1,4,1,5,-2,6,-2]]],[[[1,2,2,2,1,1,2,1],[3,3],[1,1,2,
-1],[5,1,4,1],[5,2,4,1,5,2,6,2]],[[1,2,2,2,1,1,2,1],[3,3],[1,1,2,-1],[4,1,5,
1],[5,1,6,2,4,1,5,-1,6,-2]]],[[[1,2],[2,1,3,-1,2,1,1,-1,3,-1],[1,1,2,1],[1,2,
2,1,5,2,2,1],[4,1,6,1],[6,1,4,1,6,-1],[8,1,7,1,8,1,7,1]],[[1,2],[2,1,3,-1,2,1,
1,-1,3,-1],[1,1,2,1],[1,2,2,1,5,2,2,1],[4,1,6,1],[7,1,6,2,4,1,6,-1,7,-1]]],[[[
1,2,2,1,1,-1,2,2],[1,2],[2,2,4,2,2,-1,1,-1,2,-1],[3,2,5,1,3,1,5,1,3,-1,5,
-1]],[[1,2,2,1,1,-1,2,2],[3,-3]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-2,1,2],[1,2],[1,
1,2,1,5,1,2,1,1,1,2,-1,5,-1],[4,2],[4,1,6,1],[6,1,8,1,7,-1,8,1,7,1]],[[1,1,2,
1],[3,2,2,1,1,1,2,-2,1,2],[1,2],[1,1,2,1,5,1,2,1,1,1,2,-1,5,-1],[6,2,4,-3,6,
-2]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-2,1,2],[1,2],[1,1,2,1,5,1,2,1,1,1,2,-1,5,
-1],[4,2],[6,1,4,1,7,1,6,1,4,1,6,1,7,1]],[[1,1,2,1],[3,2,2,1,1,1,2,-2,1,2],[1,
2],[1,1,2,1,5,1,2,1,1,1,2,-1,5,-1],[4,1,6,-2,4,2]]],[[[1,1,2,1],[3,2,2,1,1,1,
2,-2,1,2],[1,2],[1,1,2,1,5,1,2,1,1,1,2,-1,5,-1],[4,2],[6,1,4,1,7,1,6,1,4,1,6,
1,7,1]],[[1,1,2,1],[3,2,2,1,1,1,2,-2,1,2],[1,2],[1,1,2,1,5,1,2,1,1,1,2,-1,5,
-1],[4,1,6,2,4,2]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-2,1,2],[1,2],[1,1,2,1,5,1,2,1,
1,1,2,-1,5,-1],[4,2],[6,1,4,1,7,1,6,1,4,1,6,1,7,1]],[[1,1,2,1],[3,2,2,1,1,1,2,
-2,1,2],[4,-3]]],[[[1,2],[2,1,3,-1,2,1,1,-1,3,-1],[1,1,2,1],[1,2,2,1,5,2,2,
1],[4,1,6,1],[6,1,4,1],[4,1,6,-2,8,-1,7,2,8,1]],[[1,2],[2,1,3,-1,2,1,1,-1,3,
-1],[1,1,2,1],[1,2,2,1,5,2,2,1],[4,1,6,1],[6,1,4,1,6,-1],[8,1,7,1,8,1,7,
1]]],[[[1,2],[2,1,3,-1,2,1,1,-1,3,-1],[1,1,2,1],[1,2,2,1,5,2,2,1],[4,1,6,1],[
6,1,4,1],[7,2,8,1,7,-1,8,1,6,-1]],[[1,2],[2,1,3,-1,2,1,1,-1,3,-1],[1,1,2,1],[
1,2,2,1,5,2,2,1],[4,1,6,1],[6,2,7,3,4,1,6,-1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-2,
1,2],[1,2],[1,1,2,1,5,1,2,1,1,1,2,-1,5,-1],[4,2],[4,1,6,1],[6,1,8,1,7,-1,8,1,
7,1]],[[1,1,2,1],[3,2,2,1,1,1,2,-2,1,2],[4,-3]]],[[[1,2,2,2,1,1,2,1],[3,3],[1,
1,2,-1],[4,1,5,1],[6,1,4,1,5,-1,4,1,5,-1,6,1]],[[1,2,2,2,1,1,2,1],[3,3],[1,1,
2,-1],[4,1,5,1],[6,1,5,1,4,1,5,-1,6,-1]]],[[[1,2],[3,1,1,1,2,1,3,2,2,1],[4,
5],[1,1,2,1],[6,1,1,-1,2,-1,6,1,1,2],[5,1,7,1],[8,1,5,1,7,-1,5,1,7,-2,8,1]],[[
1,2],[3,1,1,1,2,1,3,2,2,1],[4,5],[1,1,2,1],[6,1,1,-1,2,-1,6,1,1,2],[7,1,5,1,7,
1,5,1,7,-1,5,1,7,-1]]],[[[1,2,2,2,1,1,2,1],[3,3],[1,1,2,-1],[4,1,5,1],[4,1,5,
-2,6,2,5,1,4,1,5,-1]],[[1,2,2,2,1,1,2,1],[3,3],[1,1,2,-1],[4,1,5,1],[6,2,4,1,
5,-1,4,1,5,-1]]],[[[1,2],[3,1,2,-2,3,1,2,-1,3,1],[1,1,2,1,1,3,2,-1],[4,1,5,
1],[5,1,6,2,5,2,6,1]],[[1,2],[3,1,2,-2,3,1,2,-1,3,1],[1,1,2,1,1,3,2,-1],[5,2,
4,1],[4,1,5,1,6,-2]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-2,1,2],[1,2],[1,1,2,1,5,1,2,
1,1,1,2,-1,5,-1],[6,1,4,1],[7,1,4,2,6,1,7,-1]],[[1,1,2,1],[3,2,2,1,1,1,2,-2,1,
2],[4,-3]]],[[[1,2,2,1,1,-1,2,2],[1,2],[2,2,4,2,2,-1,1,-1,2,-1],[3,2,5,1,3,1,
5,1,3,-1,5,-1]],[[1,2,2,1,1,-1,2,2],[1,2],[2,2,4,2,2,-1,1,-1,2,-1],[3,2],[6,
-1,5,-1,3,1,5,1]]],[[[1,2,2,1,1,-1,2,2],[1,2],[2,2,4,2,2,-1,1,-1,2,-1],[3,2],[
5,1,6,-1,5,-1,3,-1,5,-1,6,-1]],[[1,2,2,1,1,-1,2,2],[1,2],[2,2,4,2,2,-1,1,-1,2,
-1],[3,1,5,-1,3,1,5,1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-2,1,2],[1,2],[1,1,2,1,5,
1,2,1,1,1,2,-1,5,-1],[4,2],[4,1,6,1],[6,1,8,1,7,-1,8,1,7,1]],[[1,1,2,1],[3,2,
2,1,1,1,2,-2,1,2],[1,2],[1,1,2,1,5,1,2,1,1,1,2,-1,5,-1],[4,2],[7,1,6,-1,7,-1,
6,-1,4,-1]]],[[[1,2,2,1,1,-1,2,2],[1,2],[2,2,4,2,2,-1,1,-1,2,-1],[5,1,3,1,5,1,
3,-1,5,-1,3,-2]],[[1,2,2,1,1,-1,2,2],[1,2],[2,2,4,2,2,-1,1,-1,2,-1],[3,1,5,-1,
3,1,5,1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-2,1,2],[1,2],[1,1,2,1,5,1,2,1,1,1,2,-1,
5,-1],[4,1,6,1],[6,1,7,2,4,1]],[[1,2],[1,1,2,1,3,1,2,1,1,1,2,-1,3,-1],[4,
2]]],[[[1,2],[3,1,1,1,2,1,3,2,2,1],[4,5],[1,1,2,1],[6,1,1,-1,2,-1,6,1,1,2],[5,
1,7,1],[7,2,5,1,8,2,7,2]],[[1,2],[3,1,1,1,2,1,3,2,2,1],[4,5],[1,1,2,1],[6,1,1,
-1,2,-1,6,1,1,2],[5,1,7,1],[5,1,7,-1,8,2,7,1,8,1]]],[[[1,2,2,2,1,1,2,1],[3,
3],[1,1,2,-1],[4,1,5,1],[6,1,5,1,6,1,5,2,6,1]],[[1,2,2,2,1,1,2,1],[3,3],[1,1,
2,-1],[4,1,5,1],[6,2,4,1,5,-1,4,1,5,-1]]],[[[1,2],[3,1,1,1,2,1,3,2,2,1],[4,
5],[1,1,2,1],[6,1,1,-1,2,-1,6,1,1,2],[5,1,7,1],[7,1,5,1],[9,2,7,-1,8,-1,9,1,8,
-1,9,1]],[[1,2],[3,1,1,1,2,1,3,2,2,1],[4,5],[1,1,2,1],[6,1,1,-1,2,-1,6,1,1,
2],[5,1,7,1],[7,1,5,1],[8,1,7,1,9,-1,8,1,9,2]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-2,
1,2],[1,2],[1,1,2,1,5,1,2,1,1,1,2,-1,5,-1],[4,-1,6,2,4,1]],[[1,1,2,1],[3,2,2,
1,1,1,2,-2,1,2],[1,2],[1,1,2,1,5,1,2,1,1,1,2,-1,5,-1],[4,1,6,-1,4,-1]]],[[[1,
2,2,2,1,1,2,1],[3,3],[1,1,2,-1],[4,1,5,1],[5,2,4,1,6,2,5,2]],[[1,2,2,2,1,1,2,
1],[3,3],[1,1,2,-1],[5,1,4,1,5,1,4,1,5,-1,4,1,5,-1]],[[1,2,2,2,1,1,2,1],[3,
3],[1,1,2,-1],[4,1,5,1],[4,1,5,-1,6,1,4,1,6,-1,5,1,4,1]]],[[[1,2],[2,2,3,2,2,
-1,1,-1,2,-1],[4,-4]],[[1,2,2,1,1,-1,2,2],[1,2],[2,2,4,2,2,-1,1,-1,2,-1],[5,1,
3,1,5,1,3,1]],[[1,2,2,1,1,-1,2,2],[1,2],[2,2,4,2,2,-1,1,-1,2,-1],[3,1,5,1,3,1,
5,1]]],[[[1,2,2,1,1,-1,2,2],[1,2],[2,2,4,2,2,-1,1,-1,2,-1],[5,1,3,1,5,1],[6,1,
3,-2,6,-1]],[[1,2,2,1,1,-1,2,2],[3,-2]],[[1,2,2,1,1,-1,2,2],[1,2],[2,2,4,2,2,
-1,1,-1,2,-1],[5,1,3,-1,5,-1,3,1,5,1]]],[[[1,2,2,1,1,-1,2,2],[1,2],[2,2,4,2,2,
-1,1,-1,2,-1],[3,2],[5,1,3,-1,5,-1,6,-1,5,1]],[[1,2,2,1,1,-1,2,2],[3,-2]],[[1,
2,2,1,1,-1,2,2],[1,2],[2,2,4,2,2,-1,1,-1,2,-1],[5,1,3,1,5,1],[6,1,3,2,6,
-1]]],[[[1,2,2,1,1,-1,2,2],[1,2],[2,2,4,2,2,-1,1,-1,2,-1],[3,1,5,1,3,1,5,
1]],[[1,2,2,1,1,-1,2,2],[1,2],[2,2,4,2,2,-1,1,-1,2,-1],[5,1,3,1,5,1,3,1]],[[1,
2,2,1,1,-1,2,2],[3,-3]]],[[[1,2,2,1,1,-1,2,2],[1,2],[2,2,4,2,2,-1,1,-1,2,-1],[
5,1,3,1,5,1],[6,1,3,-2,6,-1]],[[2,-2,1,1,2,-1,1,-2]]],[[[1,2],[2,-1,3,1,2,-1,
1,1,2,-1],[1,2],[2,1,5,2],[6,2,4,1,6,2]],[[1,2],[2,-1,3,1,2,-1,1,1,2,-1],[1,
2],[2,1,5,2],[4,1,6,1,4,1,6,1]]],[[[1,2,2,1,1,-1,2,2],[1,2],[2,2,4,2,2,-1,1,
-1,2,-1],[5,2,3,1,5,-1,3,-2]],[[1,2,2,1,1,-1,2,2],[1,2],[2,2,4,2,2,-1,1,-1,2,
-1],[3,1,5,1,3,1,5,1]]],[[[1,2,2,1,1,-1,2,2],[1,2],[2,2,4,2,2,-1,1,-1,2,-1],[
5,1,3,1,5,-1,3,1,5,-1]],[[1,2,2,1,1,-1,2,2],[1,2],[2,2,4,2,2,-1,1,-1,2,-1],[5,
1,3,1,5,1,3,1]]],[[[1,1,2,1],[3,1,1,-2,2,-1,3,1,1,-1],[1,2],[2,2,5,-1,2,-1,1,
-1,2,-1,5,-1],[4,1,6,-1,4,1,6,1]],[[1,1,2,1],[3,1,1,-2,2,-1,3,1,1,-1]]],[[[1,
2,2,2,1,1,2,1],[3,3],[1,1,2,-1],[4,1,5,1],[6,1,4,1,5,-1,4,1,5,-1,6,1]],[[1,2,
2,2,1,1,2,1],[3,3],[1,1,2,-1],[5,2],[6,1,4,1,5,-2,4,1,6,-1]]],[[[1,2,2,1,1,-1,
2,2],[1,2],[2,2,4,2,2,-1,1,-1,2,-1],[5,1,3,2,5,2]],[[1,2,2,1,1,-1,2,2],[3,
-2]]],[[[1,2],[2,2,3,2,2,-1,1,-1,2,-1],[4,1,2,-2,1,1,2,-1,1,-2,4,2]],[[1,2,2,
1,1,-1,2,2],[3,-2]]],[[[1,2],[2,-1,3,1,2,-1,1,1,2,-1],[1,2],[2,1,5,2],[4,2,6,
2]],[[1,2],[2,-1,3,1,2,-1,1,1,2,-1],[1,2],[2,1,5,2],[6,1,4,2]]],[[[1,2],[2,-1,
3,1,2,-1,1,1,2,-1],[1,2],[2,1,5,2],[4,2,6,2]],[[1,2],[2,-1,3,1,2,-1,1,1,2,
-1],[1,2],[2,1,5,2],[4,2,6,1,4,1]]],[[[1,1,2,1],[3,1,1,-2,2,-1,3,1,1,-1],[1,
2],[2,2,5,-1,2,-1,1,-1,2,-1,5,-1],[4,1,6,1],[7,1,6,1,4,1,7,-1,6,-1]],[[1,2],[
2,2,3,-1,2,-1,1,-1,2,-1,3,-1],[4,2]]],[[[1,1,2,1],[3,1,1,-2,2,-1,3,1,1,-1],[1,
2],[2,2,5,-1,2,-1,1,-1,2,-1,5,-1],[4,1,6,-1,4,1,6,2,4,1]],[[1,2],[2,2,3,-1,2,
-1,1,-1,2,-1,3,-1],[4,2]]],[[[1,2],[2,1,3,-1,2,1,1,-1,3,-1],[1,1,2,1],[1,2,2,
1,5,2,2,1],[6,1,4,1],[7,1,6,2,7,-1,6,-1,4,1,6,-1]],[[1,2],[2,1,3,-1,2,1,1,-1,
3,-1],[1,1,2,1],[1,2,2,1,5,2,2,1],[4,1,6,-2,4,1,6,-1,4,1,6,3]]],[[[2,1,1,-3,2,
-1,1,-1]]],[[[1,2],[2,-1,3,1,2,-1,1,1,2,-1],[1,2],[2,1,5,2],[4,1,6,1,4,1,6,
1]],[[1,2],[2,1,3,2],[4,2]]],[[[1,2],[2,-1,3,1,2,-1,1,1,2,-1],[1,2],[2,1,5,
2],[6,1,4,2,6,1]],[[1,2],[2,1,3,2],[4,2]]],[[[1,2,2,2,1,1,2,1],[3,3],[1,1,2,
-1],[4,1,5,1],[5,1,6,2,5,1,4,1,5,-1,6,1]],[[1,1,2,-1],[3,-2]]],[[[1,2],[3,1,1,
1,2,1,3,2,2,1],[4,5],[1,1,2,1],[6,1,1,-1,2,-1,6,1,1,2],[5,1,7,1],[8,1,7,1,8,1,
7,1,5,1,7,-1,8,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,1,2],[4,-3]]],[[[1,2],[3,1,
2,-2,3,1,2,-1,3,1],[1,1,2,1,1,3,2,-1],[5,1,4,1],[5,1,6,1,5,-1,4,1,6,2]],[[1,
2],[3,1,2,-2,3,1,2,-1,3,1],[1,1,2,1,1,3,2,-1],[5,1,4,1],[6,1,5,-1,4,1,5,1,6,
2]]],[[[1,2],[3,1,2,-2,3,1,2,-1,3,1],[1,1,2,1,1,3,2,-1],[4,1,5,1],[5,1,6,2,5,
2,6,1]],[[1,2],[3,1,2,-2,3,1,2,-1,3,1],[1,1,2,1,1,3,2,-1],[4,1,5,1],[6,2,4,1,
5,1]]],[[[1,2],[3,1,2,-2,3,1,2,-1,3,1],[1,1,2,1,1,3,2,-1],[4,1,5,1],[5,1,6,1,
5,1,4,1,5,-1,6,-2]],[[1,2],[3,1,2,-2,3,1,2,-1,3,1],[1,1,2,1,1,3,2,-1],[5,1,4,
1],[6,1,5,-1,4,1,6,1,5,-1]]],[[[1,2],[3,1,2,-2,3,1,2,-1,3,1],[1,1,2,1,1,3,2,
-1],[4,1,5,1],[5,1,4,1],[6,1,5,1,6,1,5,1,7,2]],[[1,2],[3,1,2,-2,3,1,2,-1,3,
1],[1,1,2,1,1,3,2,-1],[5,1,4,1,5,-1]]],[[[1,1,2,1],[3,1,1,-2,2,-1,3,1,1,-1],[
1,2],[2,2,5,-1,2,-1,1,-1,2,-1,5,-1],[6,1,4,1,6,-1,4,-1,6,-2]],[[1,2],[2,2,3,
-1,2,-1,1,-1,2,-1,3,-1],[4,-5]],[[1,1,2,1],[3,1,1,-2,2,-1,3,1,1,-1],[1,2],[2,
2,5,-1,2,-1,1,-1,2,-1,5,-1],[4,1,6,-2,4,1,6,2]]],[[[1,2,2,1,1,-1,2,2],[1,2],[
2,2,4,2,2,-1,1,-1,2,-1],[3,1,5,-2,3,2,5,1]],[[1,2,2,1,1,-1,2,2],[1,2],[2,2,4,
2,2,-1,1,-1,2,-1],[3,1,5,2,3,1]],[[1,2,2,1,1,-1,2,2],[3,-3]]],[[[1,2,2,1,1,-1,
2,2],[1,2],[2,2,4,2,2,-1,1,-1,2,-1],[5,1,3,-1,5,-1,3,1,5,1,3,2]],[[1,2,2,1,1,
-1,2,2],[1,2],[2,2,4,2,2,-1,1,-1,2,-1],[5,1,3,-1,5,2,3,1]],[[1,2,2,1,1,-1,2,
2],[3,-3]]],[[[1,2,2,2,1,1,2,1],[3,3],[1,1,2,-1],[4,1,5,1],[5,1,4,1],[5,1,7,
-1,6,2,7,-1,5,-1]],[[1,2,2,2,1,1,2,1],[3,3],[1,1,2,-1],[4,1,5,1],[6,2,5,1,4,1,
6,-1]]],[[[1,2],[3,1,2,-2,3,1,2,-1,3,1],[1,1,2,1,1,3,2,-1],[5,1,4,1],[5,1,6,1,
5,-1,4,1,6,2]],[[1,2],[3,1,2,-2,3,1,2,-1,3,1],[1,1,2,1,1,3,2,-1],[5,1,4,1],[6,
1,5,-1,4,1,6,1,5,-1]]],[[[1,1,2,1],[3,1,1,-2,2,-1,3,1,1,-1],[1,2],[2,2,5,-1,2,
-1,1,-1,2,-1,5,-1],[4,1,6,2,4,1,6,-1]],[[1,1,2,1],[3,1,1,-2,2,-1,3,1,1,-1],[1,
2],[2,2,5,-1,2,-1,1,-1,2,-1,5,-1],[4,1,6,1,4,1,6,1]]],[[[1,2],[3,1,2,-2,3,1,2,
-1,3,1],[1,1,2,1,1,3,2,-1],[5,1,4,1],[6,1,5,2,6,-1,5,-1,4,1,5,-1]],[[1,2],[3,
1,2,-2,3,1,2,-1,3,1],[1,1,2,1,1,3,2,-1],[5,2,4,1],[4,1,5,1,6,-2]]],[[[1,1,2,
1],[3,1,1,-2,2,-1,3,1,1,-1],[1,2],[2,2,5,-1,2,-1,1,-1,2,-1,5,-1],[4,1,6,1],[7,
1,4,-1,6,-1,7,-1]],[[1,1,2,1],[3,1,1,-2,2,-1,3,1,1,-1],[1,2],[2,2,5,-1,2,-1,1,
-1,2,-1,5,-1],[4,2,6,-1,4,1,6,1]],[[1,1,2,1],[3,1,1,-2,2,-1,3,1,1,-1],[4,
2]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-2,1,2],[1,2],[1,1,2,1,5,1,2,1,1,1,2,-1,5,
-1],[6,2,4,-1,6,2,4,2]],[[1,1,2,1],[3,2,2,1,1,1,2,-2,1,2],[1,2],[1,1,2,1,5,1,2,1,1,1,2,-1,5,-1],[6,1,4,-1,6,-1,4,1,6,1,
4,2]]],[[[1,2,2,2,1,1,2,1],[3,3],[1,1,2,-1],[4,1,5,1],[5,1,4,1],[6,1,7,-1,5,
-1,7,-2,6,-1]],[[1,2,2,2,1,1,2,1],[3,3],[1,1,2,-1],[4,1,5,1],[6,2,4,1,5,-1,4,
1,5,-1]]],[[[1,1,2,1],[3,1,1,-2,2,-1,3,1,1,-1],[1,2],[2,2,5,-1,2,-1,1,-1,2,-1,
5,-1],[4,1,6,1],[7,-2,6,2,4,-1]],[[1,1,2,1],[3,1,1,-2,2,-1,3,1,1,-1],[1,2],[2,
2,5,-1,2,-1,1,-1,2,-1,5,-1],[4,1,6,1],[7,1,6,1,4,1,7,-1]]],[[[1,2,2,1,1,-1,2,
2],[1,2],[2,2,4,2,2,-1,1,-1,2,-1],[3,1,5,1,3,1,5,1]],[[1,2,2,1,1,-1,2,2],[3,
-2]]],[[[1,2],[2,-1,3,1,2,-1,1,1,2,-1],[4,-3]],[[1,2],[2,-1,3,1,2,-1,1,1,2,
-1],[1,2],[2,1,5,2],[4,1,6,-1,4,-1]],[[1,2],[2,1,3,2],[4,2]]],[[[1,2,2,2,1,1,
2,1],[3,3],[1,1,2,-1],[4,1,5,1],[6,1,4,1,5,-2,6,2,5,1]],[[1,2,2,2,1,1,2,1],[3,
3],[1,1,2,-1],[5,2,4,1],[6,1,5,-1,4,1,6,1]]],[[[1,1,2,1],[3,1,1,-2,2,-1,3,1,1,
-1],[4,-2]],[[1,2],[2,2,3,-1,2,-1,1,-1,2,-1,3,-1]]],[[[1,2],[2,1,3,-1,2,1,1,
-1,3,-1],[1,1,2,1],[1,2,2,1,5,2,2,1],[4,1,6,-2,4,1,6,2,4,1]],[[1,2],[2,1,3,-1,
2,1,1,-1,3,-1],[1,1,2,1],[1,2,2,1,5,2,2,1],[4,1,6,-1,4,1,6,1,4,1]]],[[[1,2],[
2,1,3,-1,2,1,1,-1,3,-1],[1,1,2,1],[1,2,2,1,5,2,2,1],[4,1,6,1],[4,1,6,-1,7,1,4,
1,7,-1,6,1,4,1]],[[1,2],[2,1,3,-1,2,1,1,-1,3,-1],[1,1,2,1],[1,2,2,1,5,2,2,1],[
4,1,6,-2,4,1,6,2,4,1]],[[1,2],[2,1,3,-1,2,1,1,-1,3,-1],[1,1,2,1],[1,2,2,1,5,2,
2,1],[6,1,4,1],[7,1,6,-1,4,1,7,1,6,-1]]],[[[1,2,2,2,1,1,2,1],[3,3],[1,1,2,
-1],[4,1,5,1],[6,2,5,1,4,1,5,-1,6,-2]],[[1,2,2,2,1,1,2,1],[3,3],[1,1,2,-1],[4,
1,5,-1,4,1,5,1,4,1]],[[1,2,2,2,1,1,2,1],[3,3],[1,1,2,-1],[4,1,5,1],[6,1,4,1,5,
-2,6,1,4,1]],[[1,2,2,2,1,1,2,1],[3,3],[1,1,2,-1],[5,2,4,1,5,-1,4,1,5,2]]],[[[
1,2,2,2,1,1,2,1],[3,3],[1,1,2,-1],[4,1,5,1],[4,1,5,-2,6,2,5,1,4,1,5,-1]],[[1,
2,2,2,1,1,2,1],[3,3],[1,1,2,-1],[4,1,5,1],[6,2,4,1,5,-1,4,1,5,-1]],[[1,2,2,2,
1,1,2,1],[3,3],[1,1,2,-1],[4,1,5,1],[4,1,5,-1,6,2,4,1,5,-1]]],[[[1,2],[3,1,2,
-2,3,1,2,-1,3,1],[1,1,2,1,1,3,2,-1],[4,1,5,1],[6,2,5,2,4,1,5,2]],[[1,2],[3,1,
2,-2,3,1,2,-1,3,1],[1,1,2,1,1,3,2,-1],[4,1,5,1],[5,1,6,1,5,1,4,1,5,-1,6,1]],[[
1,2],[3,1,2,-2,3,1,2,-1,3,1],[1,1,2,1,1,3,2,-1],[4,1,5,1],[4,1,5,-1,6,-3,5,1,
4,1]]],[[[1,2,2,2,1,1,2,1],[3,3],[1,1,2,-1],[4,1,5,1],[4,1,5,-2,6,2,5,1,4,1,5,
-1]],[[1,2,2,2,1,1,2,1],[3,3],[1,1,2,-1],[4,1,5,1],[6,2,4,1,5,-1,4,1,5,-1]],[[
1,2,2,2,1,1,2,1],[3,3],[1,1,2,-1],[4,1,5,1],[5,1,6,1],[6,1,7,1,4,1,5,-1,7,
-1]]],[[[1,2],[3,1,2,-2,3,1,2,-1,3,1],[1,1,2,1,1,3,2,-1],[4,1,5,1],[5,1,4,1],[
5,1,7,-1,6,2,7,-1,5,-1]],[[1,2],[3,1,2,-2,3,1,2,-1,3,1],[1,1,2,1,1,3,2,-1],[4,
1,5,1],[6,1,5,2,4,1,5,1,6,1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-2,1,2],[1,2],[1,1,
2,1,5,1,2,1,1,1,2,-1,5,-1],[6,1,4,-1,6,1,4,1,6,-1]],[[1,1,2,1],[3,2,2,1,1,1,2,
-2,1,2],[1,2],[1,1,2,1,5,1,2,1,1,1,2,-1,5,-1],[4,1,6,2,4,2]]],[[[1,2,2,2,1,1,
2,1],[3,3],[1,1,2,-1],[5,1,4,1],[5,1,6,3,5,-1,4,1]],[[1,2,2,2,1,1,2,1],[3,3],[
1,1,2,-1],[4,1,5,1],[6,2,5,1,4,1,5,-1,6,1]]],[[[1,2],[2,1,3,-1,2,1,1,-1,3,
-1],[1,1,2,1],[1,2,2,1,5,2,2,1],[4,1,6,1],[6,1,4,1],[7,2],[9,1,8,-2,9,-1]],[[
1,2],[2,1,3,-1,2,1,1,-1,3,-1],[1,1,2,1],[1,2,2,1,5,2,2,1],[6,1,4,1],[7,1,6,-1,
4,1,7,-1,6,-1]]],[[[1,2],[3,1,2,-2,3,1,2,-1,3,1],[1,1,2,1,1,3,2,-1],[4,1,5,
1],[5,1,6,1],[7,1,6,1,7,1,5,1,4,1]],[[1,2],[3,1,2,-2,3,1,2,-1,3,1],[1,1,2,1,1,
3,2,-1],[4,1,5,1],[5,1,6,1],[6,1,7,2,6,1]],[[1,2],[3,1,2,-2,3,1,2,-1,3,1],[1,
1,2,1,1,3,2,-1],[5,-1,4,1,5,1]],[[1,2],[3,1,2,-2,3,1,2,-1,3,1],[1,1,2,1,1,3,2,
-1],[4,1,5,1],[4,1,5,-1,6,2,4,1,5,-1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-2,1,2],[1,
2],[1,1,2,1,5,1,2,1,1,1,2,-1,5,-1],[6,1,4,1],[7,1,4,2,6,1,7,-1]],[[1,1,2,1],[
3,2,2,1,1,1,2,-2,1,2],[1,2],[1,1,2,1,5,1,2,1,1,1,2,-1,5,-1],[6,1,4,-1,6,2,4,1,
6,-1]],[[1,1,2,1],[3,2,2,1,1,1,2,-2,1,2],[1,2],[1,1,2,1,5,1,2,1,1,1,2,-1,5,
-1],[6,2,4,-3,6,2]],[[1,1,2,1],[3,2,2,1,1,1,2,-2,1,2],[1,2],[1,1,2,1,5,1,2,1,
1,1,2,-1,5,-1],[4,1,6,1,4,2,6,1,4,1]]],[[[1,2],[2,1,3,-1,2,1,1,-1,3,-1],[1,1,
2,1],[1,2,2,1,5,2,2,1],[4,1,6,1],[6,1,4,1,6,-1],[8,1,7,1,8,1,7,1]],[[1,2],[2,
1,3,-1,2,1,1,-1,3,-1],[1,1,2,1],[1,2,2,1,5,2,2,1],[4,1,6,-1,4,1,6,1,4,1]],[[1,
2],[2,1,3,-1,2,1,1,-1,3,-1],[1,1,2,1],[1,2,2,1,5,2,2,1],[6,1,4,1],[6,2,4,1,6,
1,7,-2,6,-1]]],[[[1,2],[3,1,1,1,2,1,3,2,2,1],[4,5],[1,1,2,1],[6,1,1,-1,2,-1,6,
1,1,2],[5,1,7,1],[7,1,5,1],[8,1,7,1,9,-1,8,1,9,2]],[[1,1,2,1],[3,1,1,-1,2,-1,
3,1,1,2],[4,-3]],[[1,2],[3,1,1,1,2,1,3,2,2,1],[4,5],[1,1,2,1],[6,1,1,-1,2,-1,
6,1,1,2],[7,1,5,1],[8,1,7,2,8,-1,7,-1,5,1,7,-1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,
-2,1,2],[1,2],[1,1,2,1,5,1,2,1,1,1,2,-1,5,-1],[6,1,4,1],[7,1,4,2,6,1,7,-1]],[[
1,1,2,1],[3,2,2,1,1,1,2,-2,1,2],[1,2],[1,1,2,1,5,1,2,1,1,1,2,-1,5,-1],[4,1,6,
2,4,2]],[[1,1,2,1],[3,2,2,1,1,1,2,-2,1,2],[1,2],[1,1,2,1,5,1,2,1,1,1,2,-1,5,
-1],[4,1,6,1,4,2,6,1,4,1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-2,1,2],[1,2],[1,1,2,1,
5,1,2,1,1,1,2,-1,5,-1],[6,2,4,-3,6,2]],[[1,1,2,1],[3,2,2,1,1,1,2,-2,1,2],[1,
2],[1,1,2,1,5,1,2,1,1,1,2,-1,5,-1],[6,1,4,-1,6,-1,4,1,6,-1]],[[1,1,2,1],[3,2,
2,1,1,1,2,-2,1,2],[1,2],[1,1,2,1,5,1,2,1,1,1,2,-1,5,-1],[4,2,6,1,4,2,6,
1]]],[[[1,2],[3,1,2,-2,3,1,2,-1,3,1],[1,1,2,1,1,3,2,-1],[4,1,5,1],[5,1,6,1],[
7,1,6,1,7,1,5,1,4,1]],[[1,2],[3,1,2,-2,3,1,2,-1,3,1],[1,1,2,1,1,3,2,-1],[4,1,
5,-1,4,1,5,2,4,1,5,2]]],[[[1,2],[3,1,2,-2,3,1,2,-1,3,1],[1,1,2,1,1,3,2,-1],[5,
1,4,1],[5,2,4,1,5,1,6,-2,5,-1]],[[1,2],[3,1,2,-2,3,1,2,-1,3,1],[1,1,2,1,1,3,2,
-1],[5,1,4,1],[6,1,5,-1,4,1,5,1,6,2]]],[[[1,2,2,2,1,1,2,1],[3,3],[1,1,2,-1],[
4,1,5,1],[5,1,4,1],[5,1,6,2,7,-2,5,-1]],[[1,2,2,2,1,1,2,1],[3,3],[1,1,2,-1],[
4,1,5,1],[6,1,5,1,4,1,5,-1,6,-1]],[[1,2,2,2,1,1,2,1],[3,3],[1,1,2,-1],[4,1,5,
1],[6,1,4,1,5,-1,4,1,5,-1,6,1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-2,1,2],[1,2],[1,
1,2,1,5,1,2,1,1,1,2,-1,5,-1],[4,2,6,1,4,2,6,1]],[[1,1,2,1],[3,2,2,1,1,1,2,-2,
1,2],[1,2],[1,1,2,1,5,1,2,1,1,1,2,-1,5,-1],[6,1,4,-1,6,1,4,1,6,-1]],[[1,1,2,
1],[3,2,2,1,1,1,2,-2,1,2],[4,-3]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-2,1,2],[1,2],[
1,1,2,1,5,1,2,1,1,1,2,-1,5,-1],[6,1,4,1],[7,1,4,2,6,1,7,-1]],[[1,1,2,1],[3,2,
2,1,1,1,2,-2,1,2],[1,2],[1,1,2,1,5,1,2,1,1,1,2,-1,5,-1],[4,2,6,-2,4,1,6,2]],[[
1,1,2,1],[3,2,2,1,1,1,2,-2,1,2],[1,2],[1,1,2,1,5,1,2,1,1,1,2,-1,5,-1],[4,1,6,
1,4,2,6,1,4,1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-2,1,2],[1,2],[1,1,2,1,5,1,2,1,1,
1,2,-1,5,-1],[6,2,4,-3,6,-2]],[[1,1,2,1],[3,2,2,1,1,1,2,-2,1,2],[1,2],[1,1,2,
1,5,1,2,1,1,1,2,-1,5,-1],[4,1,6,2,4,2]],[[1,1,2,1],[3,2,2,1,1,1,2,-2,1,2],[1,
2],[1,1,2,1,5,1,2,1,1,1,2,-1,5,-1],[4,2,6,-1,4,-1,6,-1,4,-1,6,-1]]],[[[1,1,2,
1],[3,2,2,1,1,1,2,-2,1,2],[1,2],[1,1,2,1,5,1,2,1,1,1,2,-1,5,-1],[4,2,6,1,4,-1,
6,1,4,-1,6,1]],[[1,1,2,1],[3,2,2,1,1,1,2,-2,1,2],[1,2],[1,1,2,1,5,1,2,1,1,1,2,
-1,5,-1],[4,1,6,2,4,2]],[[1,1,2,1],[3,2,2,1,1,1,2,-2,1,2],[1,2],[1,1,2,1,5,1,
2,1,1,1,2,-1,5,-1],[6,2,4,-1,6,2,4,1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-2,1,2],[1,
2],[1,1,2,1,5,1,2,1,1,1,2,-1,5,-1],[6,1,4,1,6,1],[7,2,4,2]],[[1,1,2,1],[3,2,2,
1,1,1,2,-2,1,2],[1,2],[1,1,2,1,5,1,2,1,1,1,2,-1,5,-1],[6,1,4,-1,6,-1,4,1,6,
-1]],[[1,1,2,1],[3,2,2,1,1,1,2,-2,1,2],[4,-3]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-2,
1,2],[1,2],[1,1,2,1,5,1,2,1,1,1,2,-1,5,-1],[6,1,4,1],[7,1,4,2,6,1,7,-1]],[[1,
1,2,1],[3,2,2,1,1,1,2,-2,1,2],[4,-3]],[[1,1,2,1],[3,2,2,1,1,1,2,-2,1,2],[1,
2],[1,1,2,1,5,1,2,1,1,1,2,-1,5,-1],[4,2],[7,1,6,-1,7,-1,6,-1,4,-1]]],[[[1,1,2,
1],[3,2,2,1,1,1,2,-2,1,2],[1,2],[1,1,2,1,5,1,2,1,1,1,2,-1,5,-1],[6,2,4,-3,6,
2]],[[1,1,2,1],[3,2,2,1,1,1,2,-2,1,2],[1,2],[1,1,2,1,5,1,2,1,1,1,2,-1,5,-1],[
4,1,6,-2,4,2]],[[1,1,2,1],[3,2,2,1,1,1,2,-2,1,2],[1,2],[1,1,2,1,5,1,2,1,1,1,2,
-1,5,-1],[6,1,4,1,6,1,4,1,6,1,4,-2]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-2,1,2],[1,
2],[1,1,2,1,5,1,2,1,1,1,2,-1,5,-1],[6,1,4,1],[7,1,4,2,6,1,7,-1]],[[1,1,2,1],[
3,2,2,1,1,1,2,-2,1,2],[4,-3]],[[1,1,2,1],[3,2,2,1,1,1,2,-2,1,2],[1,2],[1,1,2,
1,5,1,2,1,1,1,2,-1,5,-1],[6,2,4,-3,6,2]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-2,1,2],[
1,2],[1,1,2,1,5,1,2,1,1,1,2,-1,5,-1],[4,2,6,-2,4,1,6,2]],[[1,1,2,1],[3,2,2,1,
1,1,2,-2,1,2],[1,2],[1,1,2,1,5,1,2,1,1,1,2,-1,5,-1],[6,1,4,-1,6,1,4,1,6,
-1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-2,1,2],[1,2],[1,1,2,1,5,1,2,1,1,1,2,-1,5,
-1],[6,1,4,1,6,1,4,-1,6,-1,4,-1]],[[1,2],[1,1,2,1,3,1,2,1,1,1,2,-1,3,-1],[4,
2]],[[1,1,2,1],[3,2,2,1,1,1,2,-2,1,2],[1,2],[1,1,2,1,5,1,2,1,1,1,2,-1,5,-1],[
6,1,4,2,6,-1,4,2]]],[[[1,2,2,1,1,-1,2,2],[1,2],[2,2,4,2,2,-1,1,-1,2,-1],[3,2,
5,1,3,1,5,1,3,-1,5,-1]],[[1,2,2,1,1,-1,2,2],[3,-3]],[[1,2,2,1,1,-1,2,2],[1,
2],[2,2,4,2,2,-1,1,-1,2,-1],[3,1,5,-1,3,2,5,1,3,1]]],[[[1,2],[3,1,2,-2,3,1,2,
-1,3,1],[1,1,2,1,1,3,2,-1],[4,1,5,1],[4,1,5,-1,6,1,4,1,6,-1,5,1,4,1]],[[1,2],[
3,1,2,-2,3,1,2,-1,3,1],[1,1,2,1,1,3,2,-1],[5,1,4,1],[6,1,5,-1,4,1,5,1,6,
2]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-2,1,2],[1,2],[1,1,2,1,5,1,2,1,1,1,2,-1,5,
-1],[4,-1,6,2,4,1]],[[1,1,2,1],[3,2,2,1,1,1,2,-2,1,2],[4,-3]]],[[[1,2],[3,1,2,
-2,3,1,2,-1,3,1],[1,1,2,1,1,3,2,-1],[4,1,5,1],[6,1,4,1,5,-2,4,1,5,-2,6,1]],[[
1,2],[3,1,2,-2,3,1,2,-1,3,1],[1,1,2,1,1,3,2,-1],[5,1,4,1],[5,1,6,-1,4,1,5,3,6,
1]],[[1,2],[3,1,2,-2,3,1,2,-1,3,1],[1,1,2,1,1,3,2,-1],[5,1,4,1],[6,1,5,-2,4,1,
5,2,6,-1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-2,1,2],[1,2],[1,1,2,1,5,1,2,1,1,1,2,
-1,5,-1],[4,2],[7,1,6,-1,7,-1,6,-1,4,-1]],[[1,1,2,1],[3,2,2,1,1,1,2,-2,1,2],[
1,2],[1,1,2,1,5,1,2,1,1,1,2,-1,5,-1],[6,1,4,-1,6,-1,4,1,6,-1]],[[1,1,2,1],[3,
2,2,1,1,1,2,-2,1,2],[1,2],[1,1,2,1,5,1,2,1,1,1,2,-1,5,-1],[6,1,4,1,6,2,4,-1,6,
-1]]],[[[1,2,2,2,1,1,2,1],[3,3],[1,1,2,-1],[4,1,5,1],[5,1,4,1],[6,1,7,2,5,2,6,
1]],[[1,2,2,2,1,1,2,1],[3,3],[1,1,2,-1],[5,1,4,1,5,1,4,1,5,-1,4,1,5,-1]],[[1,
2,2,2,1,1,2,1],[3,3],[1,1,2,-1],[4,1,5,1],[6,1,5,2,6,1,5,2,4,1]]],[[[1,2,2,1,
1,-1,2,2],[1,2],[2,2,4,2,2,-1,1,-1,2,-1],[5,1,3,1,5,1],[6,1,3,2,6,-1]],[[1,2,
2,1,1,-1,2,2]],[[1,2,2,1,1,-1,2,2],[1,2],[2,2,4,2,2,-1,1,-1,2,-1],[5,1,3,-1,5,
-1,3,1,5,1,3,2]]],[[[1,2,2,1,1,-1,2,2],[1,2],[2,2,4,2,2,-1,1,-1,2,-1],[3,1,5,
-1,3,1,5,-1]],[[1,2,2,1,1,-1,2,2],[1,2],[2,2,4,2,2,-1,1,-1,2,-1],[5,1,3,1,5,1,
3,1]]],[[[1,2,2,1,1,-1,2,2],[1,2],[2,2,4,2,2,-1,1,-1,2,-1],[3,1,5,2,3,2]],[[1,
2,2,1,1,-1,2,2],[1,2],[2,2,4,2,2,-1,1,-1,2,-1],[3,1,5,1,3,1,5,1]]],[[[1,2,2,1,
1,-1,2,2],[1,2],[2,2,4,2,2,-1,1,-1,2,-1],[3,1,5,2,3,-1,5,1]],[[1,2],[2,2,3,2,
2,-1,1,-1,2,-1],[4,-4]],[[1,2,2,1,1,-1,2,2],[1,2],[2,2,4,2,2,-1,1,-1,2,-1],[3,
1,5,1,3,1,5,1]]],[[[1,2],[3,1,2,-2,3,1,2,-1,3,1],[1,1,2,1,1,3,2,-1],[5,1,4,
1],[6,1,5,3,6,2]],[[1,2],[3,1,2,-2,3,1,2,-1,3,1],[1,1,2,1,1,3,2,-1],[4,1,5,
1],[6,2],[7,1,4,1,5,-1,7,1]]],[[[1,1,2,1],[3,1,1,-2,2,-1,3,1,1,-1],[1,2],[2,2,
5,-1,2,-1,1,-1,2,-1,5,-1],[4,1,6,-1,4,1,6,2]],[[1,1,2,1],[3,1,1,-2,2,-1,3,1,1,
-1],[1,2],[2,2,5,-1,2,-1,1,-1,2,-1,5,-1],[6,1,4,1,6,-1]],[[1,1,2,1],[3,1,1,-2,
2,-1,3,1,1,-1],[4,2]]],[[[1,2],[3,1,1,1,2,1,3,2,2,1],[4,5],[1,1,2,1],[6,1,1,
-1,2,-1,6,1,1,2],[5,1,7,1],[7,1,8,2,7,1,5,1,7,-2]],[[1,2],[3,1,1,1,2,1,3,2,2,
1],[4,5],[1,1,2,1],[6,1,1,-1,2,-1,6,1,1,2],[7,1,5,1,7,-3,5,1,7,-1]]],[[[1,2],[
2,1,3,-1,2,1,1,-1,3,-1],[1,1,2,1],[1,2,2,1,5,2,2,1],[4,1,6,1],[7,1,6,2,4,1,6,
-2,7,-1]],[[1,2],[2,1,3,-1,2,1,1,-1,3,-1],[1,1,2,1],[1,2,2,1,5,2,2,1],[4,1,6,
-1,4,1,6,-3]]],[[[1,2,2,1,1,-1,2,2],[1,2],[2,2,4,2,2,-1,1,-1,2,-1],[3,2],[5,1,
3,-1,5,-1,6,-1,5,1]],[[1,2],[2,2,3,2,2,-1,1,-1,2,-1],[4,1,2,-2,1,1,2,-1,1,-2,
4,2]],[[1,2,2,1,1,-1,2,2],[3,-2]]],[[[1,2,2,1,1,-1,2,2],[1,2],[2,2,4,2,2,-1,1,
-1,2,-1],[5,1,3,-1,5,-1,3,1,5,1]],[[1,2],[2,2,3,2,2,-1,1,-1,2,-1],[4,1,2,-2,1,
1,2,-1,1,-2,4,2]],[[1,2,2,1,1,-1,2,2],[3,-2]]],[[[1,2,2,2,1,1,2,1],[3,3],[1,1,
2,-1],[4,1,5,1],[6,2,5,2,4,1,5,-1,6,1]],[[1,2,2,2,1,1,2,1],[3,3],[1,1,2,-1],[
4,1,5,1],[5,1,4,1,5,-1],[6,1,7,1,6,-1,7,1]]],[[[1,2],[2,2,3,2,2,-1,1,-1,2,
-1],[4,1,2,-2,1,1,2,-1,1,-2,4,2]],[[2,-2,1,1,2,-1,1,-2]]],[[[1,2,2,2,1,1,2,
1],[3,3],[1,1,2,-1],[4,1,5,1],[4,1,5,-1,4,1,5,-1,6,1,5,1,6,1]],[[1,2,2,2,1,1,
2,1],[3,3],[1,1,2,-1],[4,1,5,1],[6,2,4,1,5,-1,4,1,5,-1]]],[[[1,2,2,1,1,-1,2,
2],[1,2],[2,2,4,2,2,-1,1,-1,2,-1],[3,1,5,2,3,-1,5,1]],[[1,2,2,1,1,-1,2,2],[1,
2],[2,2,4,2,2,-1,1,-1,2,-1],[3,1,5,1,3,1,5,1]],[[1,2,2,1,1,-1,2,2],[3,
-3]]],[[[1,2],[2,-1,3,1,2,-1,1,1,2,-1],[1,2],[2,1,5,2],[4,1,6,-1,4,-1,6,
-2]],[[1,2],[2,-1,3,1,2,-1,1,1,2,-1],[1,2],[2,1,5,2],[4,1,6,1]]],[[[1,1,2,1],[
3,1,1,-2,2,-1,3,1,1,-1],[1,2],[2,2,5,-1,2,-1,1,-1,2,-1,5,-1],[4,1,6,-1,4,1,6,
2,4,1]],[[1,1,2,1],[3,1,1,-2,2,-1,3,1,1,-1],[1,2],[2,2,5,-1,2,-1,1,-1,2,-1,5,
-1],[4,2,6,1]],[[1,2],[2,2,3,-1,2,-1,1,-1,2,-1,3,-1],[4,2]]],[[[1,2],[2,-1,3,
1,2,-1,1,1,2,-1],[1,2],[2,1,5,2],[4,2,6,1,4,1]],[[1,2],[2,-1,3,1,2,-1,1,1,2,
-1],[1,2],[2,1,5,2],[4,1,6,-1,4,2]],[[1,2],[2,1,3,2],[4,2]]],[[[1,2],[2,-1,3,
1,2,-1,1,1,2,-1],[1,2],[2,1,5,2],[4,1,6,-1,4,-1]],[[1,2],[2,1,3,2]]],[[[1,2],[
2,-1,3,1,2,-1,1,1,2,-1],[1,2],[2,1,5,2],[4,1,6,-1,4,-1,6,-1]],[[1,2],[2,-1,3,
1,2,-1,1,1,2,-1],[4,-3]]],[[[1,2],[2,-1,3,1,2,-1,1,1,2,-1],[1,2],[2,1,5,2],[4,
1,6,1,4,1,6,1]],[[1,2],[2,-1,3,1,2,-1,1,1,2,-1],[4,-3]],[[1,2],[2,1,3,2],[4,
2]]],[[[1,2],[2,-1,3,1,2,-1,1,1,2,-1],[1,2],[2,1,5,2],[6,1,4,-1,6,-1]],[[1,
2],[2,1,3,2],[4,2]]],[[[1,2],[2,1,3,2],[4,2]],[[1,2],[2,-1,3,1,2,-1,1,1,2,
-1],[1,2],[2,1,5,2],[6,1,4,1]]],[[[1,2],[2,-1,3,1,2,-1,1,1,2,-1],[1,2],[2,1,5,
2],[4,2,6,1]],[[1,2],[2,1,3,2],[4,2]]],[[[1,2,2,2,1,1,2,1],[3,3],[1,1,2,-1],[
4,1,5,1],[5,1,4,1],[6,1,7,2,5,2,6,1]],[[1,2,2,2,1,1,2,1],[3,3],[1,1,2,-1],[4,
1,5,1],[6,2,5,1,4,1,6,-1]],[[1,2,2,2,1,1,2,1],[3,3],[1,1,2,-1],[4,1,5,1],[5,1,
6,1],[7,1,4,1,5,-1,6,-1,7,-1]]],[[[1,2,2,2,1,1,2,1],[3,3],[1,1,2,-1],[4,1,5,
1],[5,1,4,1],[5,1,6,2,7,-2,5,-1]],[[1,2,2,2,1,1,2,1],[3,3],[1,1,2,-1],[4,1,5,
1],[5,1,4,1,5,-1],[6,1,7,1,6,-1,7,1]],[[1,2,2,2,1,1,2,1],[3,3],[1,1,2,-1],[4,
1,5,1],[6,1,4,1,5,-1,4,1,5,-1,6,1]]],[[[1,2],[3,1,2,-2,3,1,2,-1,3,1],[1,1,2,1,
1,3,2,-1],[5,1,4,1],[4,1,5,-3,4,1,5,1,6,2]],[[1,2],[3,1,2,-2,3,1,2,-1,3,1],[1,
1,2,1,1,3,2,-1],[4,1,5,1],[5,1,6,1],[6,1,7,2,6,1]]],[[[1,1,2,1],[3,2,2,1,1,1,
2,-2,1,2],[1,2],[1,1,2,1,5,1,2,1,1,1,2,-1,5,-1],[4,-3,6,-2,4,-1]],[[1,2],[1,1,
2,1,3,1,2,1,1,1,2,-1,3,-1],[4,2]]],[[[1,2,2,1,1,-1,2,2],[1,2],[2,2,4,2,2,-1,1,
-1,2,-1],[3,1,5,-1,3,1,5,1]],[[1,2,2,1,1,-1,2,2]]],[[[1,1,2,1],[3,2,2,1,1,1,2,
-2,1,2],[1,2],[1,1,2,1,5,1,2,1,1,1,2,-1,5,-1],[4,1,6,1,4,1]],[[1,1,2,1],[3,2,
2,1,1,1,2,-2,1,2],[4,2]]],[[[1,2,2,2,1,1,2,1],[3,3],[1,1,2,-1],[4,1,5,1],[5,1,
4,1,5,-1],[6,1,7,1,6,-1,7,1]],[[1,2,2,2,1,1,2,1],[3,3],[1,1,2,-1],[4,1,5,1],[
5,2,6,1,4,1,5,-1,6,-2]]],[[[1,2,2,1,1,-1,2,2],[1,2],[2,2,4,2,2,-1,1,-1,2,-1],[
5,1,3,1,5,-1,3,-1,5,-1]],[[1,2,2,1,1,-1,2,2],[3,-2]]],[[[1,2,2,1,1,-1,2,2],[1,
2],[2,2,4,2,2,-1,1,-1,2,-1],[3,2],[5,1,3,1,5,1,6,1,5,-1]],[[1,2,2,1,1,-1,2,
2],[3,-2]]],[[[1,2],[2,1,3,-1,2,1,1,-1,3,-1],[1,1,2,1],[1,2,2,1,5,2,2,1],[4,1,
6,1],[6,1,7,1,4,1,6,-1,4,1,6,-2,7,1]],[[1,2],[2,1,3,-1,2,1,1,-1,3,-1],[1,1,2,
1],[1,2,2,1,5,2,2,1],[4,1,6,1],[7,1,4,1,6,-1,7,-1]]],[[[1,1,2,1],[3,2,2,1,1,1,
2,-2,1,2],[4,-3]],[[1,1,2,1],[3,2,2,1,1,1,2,-2,1,2],[1,2],[1,1,2,1,5,1,2,1,1,
1,2,-1,5,-1],[4,1,6,2]]],[[[1,2],[3,1,2,-2,3,1,2,-1,3,1],[1,1,2,1,1,3,2,-1],[
5,1,4,1],[5,1,6,1,4,1,5,1,6,-1,5,-2]],[[1,2],[3,1,2,-2,3,1,2,-1,3,1],[1,1,2,1,
1,3,2,-1],[4,1,5,1],[4,1,6,-1,5,1,4,1,5,-1,6,1]],[[1,2],[3,1,2,-2,3,1,2,-1,3,
1],[1,1,2,1,1,3,2,-1],[5,1,4,1],[4,1,5,-1,6,-2]]],[[[1,1,2,1],[3,1,1,-2,2,-1,
3,1,1,-1],[1,2],[2,2,5,-1,2,-1,1,-1,2,-1,5,-1],[6,1,4,-1,6,-2,4,-1]],[[1,1,2,
1],[3,1,1,-2,2,-1,3,1,1,-1],[1,2],[2,2,5,-1,2,-1,1,-1,2,-1,5,-1],[4,1,6,1,4,
2]]],[[[1,2],[3,1,2,-2,3,1,2,-1,3,1],[1,1,2,1,1,3,2,-1],[4,1,5,1],[5,1,6,2,5,
2,6,1]],[[1,2],[3,1,2,-2,3,1,2,-1,3,1],[1,1,2,1,1,3,2,-1],[4,1,5,-1,4,1,5,-2,
4,1]]],[[[1,2],[3,1,2,-2,3,1,2,-1,3,1],[1,1,2,1,1,3,2,-1],[4,1,5,1],[5,1,6,
1],[6,1,7,1,6,1,7,1]],[[1,2],[3,1,2,-2,3,1,2,-1,3,1],[1,1,2,1,1,3,2,-1],[4,1,
5,1],[5,1,6,2,5,2,6,1]]],[[[1,1,2,1],[3,1,1,-2,2,-1,3,1,1,-1],[1,2],[2,2,5,-1,
2,-1,1,-1,2,-1,5,-1],[4,1,6,1],[7,1,4,-1,6,-1,7,-1]],[[1,1,2,1],[3,1,1,-2,2,
-1,3,1,1,-1],[1,2],[2,2,5,-1,2,-1,1,-1,2,-1,5,-1],[4,2],[6,-1,4,1,6,1]],[[1,1,
2,1],[3,1,1,-2,2,-1,3,1,1,-1],[1,2],[2,2,5,-1,2,-1,1,-1,2,-1,5,-1],[4,1,6,-2,
4,-1,6,2]]],[[[1,2],[2,2,3,2,2,-1,1,-1,2,-1],[4,1,1,2,2,1,1,-1,2,2,4,1]],[[1,
2,2,1,1,-1,2,2]]],[[[1,2],[2,1,3,-1,2,1,1,-1,3,-1],[1,1,2,1],[1,2,2,1,5,2,2,
1],[4,1,6,1],[4,1,6,-1],[8,1,6,-1,7,1,8,1,7,1]],[[1,2],[2,1,3,-1,2,1,1,-1,3,
-1],[1,1,2,1],[1,2,2,1,5,2,2,1],[4,1,6,-1,4,1,6,1,4,1]]],[[[1,2,2,2,1,1,2,1],[
3,3],[1,1,2,-1],[4,1,5,1],[5,-3,4,1,6,2,5,1]],[[1,2,2,2,1,1,2,1],[3,3],[1,1,2,
-1],[4,1,5,1],[5,2,6,2,5,1,4,1,5,-1]]],[[[1,2],[2,2,3,2,2,-1,1,-1,2,-1],[4,2,
1,2,2,1,1,-1,2,2,4,-1]],[[1,2,2,1,1,-1,2,2],[3,-2]]],[[[1,2,2,2,1,1,2,1],[3,
3],[1,1,2,-1],[4,1,5,1],[5,2,4,1,6,1,4,1,5,-2,6,1]],[[1,2,2,2,1,1,2,1],[3,3],[
1,1,2,-1],[4,1,5,1],[5,1,6,1],[7,1,6,1,7,1,6,1]]],[[[1,2,2,1,1,-1,2,2],[1,2],[
2,2,4,2,2,-1,1,-1,2,-1],[5,1,3,-1,5,2,3,1]],[[1,2,2,1,1,-1,2,2],[3,2]],[[1,2,
2,1,1,-1,2,2],[1,2],[2,2,4,2,2,-1,1,-1,2,-1],[5,1,3,1,5,1,3,-1]]],[[[1,2],[2,
2,3,2,2,-1,1,-1,2,-1],[4,1,2,-2,1,1,2,-1,1,-2,4,2]],[[1,2,2,1,1,-1,2,2],[3,
-2]],[[1,2,2,1,1,-1,2,2],[1,2],[2,2,4,2,2,-1,1,-1,2,-1],[3,1,5,1,3,1,5,
1]]],[[[1,1,2,1],[3,1,1,-2,2,-1,3,1,1,-1],[1,2],[2,2,5,-1,2,-1,1,-1,2,-1,5,
-1],[4,1,6,1,4,1,6,-1]],[[1,2],[2,2,3,-1,2,-1,1,-1,2,-1,3,-1],[4,2]]],[[[1,2,
2,2,1,1,2,1],[3,3],[1,1,2,-1],[4,1,5,1],[5,1,6,1],[7,1,6,2,7,1]],[[1,2,2,2,1,
1,2,1],[3,3],[1,1,2,-1],[4,1,5,1],[6,2,4,1,5,-1,4,1,5,-1]]],[[[1,2],[3,1,2,-2,
3,1,2,-1,3,1],[1,1,2,1,1,3,2,-1],[4,1,5,1],[6,2,5,2,4,1,5,-1,6,-1]],[[1,2],[3,
1,2,-2,3,1,2,-1,3,1],[1,1,2,1,1,3,2,-1],[4,1,5,1],[5,1,4,1,5,-1,6,1,5,1,6,
1]]],[[[1,2],[2,1,3,-1,2,1,1,-1,3,-1],[1,1,2,1],[1,2,2,1,5,2,2,1],[4,1,6,1],[
4,1,6,-2,7,-2,6,-2]],[[1,2],[2,1,3,-1,2,1,1,-1,3,-1],[1,1,2,1],[1,2,2,1,5,2,2,
1],[4,1,6,1],[7,1,6,1,4,1,6,-1,7,-1]]],[[[1,2,2,2,1,1,2,1],[3,3],[1,1,2,-1],[
4,1,5,1],[5,1,4,1],[5,1,7,-1,6,2,7,-1,5,-1]],[[1,2,2,2,1,1,2,1],[3,3],[1,1,2,
-1],[4,1,5,1],[4,1,5,-1,6,1,5,1,4,1,5,-1,6,1]]],[[[1,2],[2,-1,3,1,2,-1,1,1,2,
-1],[1,2],[2,1,5,2],[4,1,6,1,4,1,6,1]],[[1,2],[2,-1,3,1,2,-1,1,1,2,-1],[4,
2]]],[[[1,2,2,2,1,1,2,1],[3,3],[1,1,2,-1],[4,1,5,1],[4,1,5,-2,6,2,5,1,4,1,5,
-1]],[[1,2,2,2,1,1,2,1],[3,3],[1,1,2,-1],[4,1,5,1],[6,2,4,1,5,-1,4,1,5,-1]],[[
1,2,2,2,1,1,2,1],[3,3],[1,1,2,-1],[4,1,5,1],[5,1,6,1],[6,1,7,1,4,1,5,-1,7,
-1]],[[1,2,2,2,1,1,2,1],[3,3],[1,1,2,-1],[4,1,5,1],[4,1,5,-1,6,2,4,1,5,
-1]]],[[[1,2],[3,1,2,-2,3,1,2,-1,3,1],[1,1,2,1,1,3,2,-1],[4,1,5,1],[5,1,4,1],[
6,1,7,-1,5,-1,6,1,5,1,7,-1]],[[1,2],[3,1,2,-2,3,1,2,-1,3,1],[1,1,2,1,1,3,2,
-1],[4,1,5,-3,4,1,5,3,4,1]],[[1,2],[3,1,2,-2,3,1,2,-1,3,1],[1,1,2,1,1,3,2,
-1],[4,1,5,1],[5,1,4,1],[5,1,6,2,7,-2,5,-1]]],[[[1,2],[3,1,2,-2,3,1,2,-1,3,
1],[1,1,2,1,1,3,2,-1],[4,1,5,1],[6,2,4,1,5,-1,6,1,5,1]],[[1,2],[3,1,2,-2,3,1,
2,-1,3,1],[1,1,2,1,1,3,2,-1],[4,1,5,1],[5,1,4,1,5,-1,6,1,5,1,6,1]]],[[[1,2],[
2,1,3,-1,2,1,1,-1,3,-1],[1,1,2,1],[1,2,2,1,5,2,2,1],[6,1,4,1],[6,1,4,1,6,1,7,
1,6,1,7,2]],[[1,2],[2,1,3,-1,2,1,1,-1,3,-1],[1,1,2,1],[1,2,2,1,5,2,2,1],[6,1,
4,1],[7,1,6,-1,4,1,7,-1,6,-1]]],[[[1,2],[2,1,3,-1,2,1,1,-1,3,-1],[1,1,2,1],[1,
2,2,1,5,2,2,1],[4,1,6,1],[6,1,4,1],[4,1,6,-2,8,-1,7,2,8,1]],[[1,2],[2,1,3,-1,
2,1,1,-1,3,-1],[1,1,2,1],[1,2,2,1,5,2,2,1],[4,1,6,1],[6,1,4,1,6,-1],[8,1,7,1,
8,1,7,1]],[[1,2],[2,1,3,-1,2,1,1,-1,3,-1],[1,1,2,1],[1,2,2,1,5,2,2,1],[4,1,6,
-1,4,1,6,1,4,1]]],[[[1,2,2,2,1,1,2,1],[3,3],[1,1,2,-1],[4,1,5,1],[5,1,4,1],[5,
1,7,-1,6,2,7,-1,5,-1]],[[1,2,2,2,1,1,2,1],[3,3],[1,1,2,-1],[5,1,4,1,5,1,4,1,5,
-1,4,1,5,-1]],[[1,2,2,2,1,1,2,1],[3,3],[1,1,2,-1],[4,1,5,1],[4,1,5,-1,6,2,5,2,
4,1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-2,1,2],[1,2],[1,1,2,1,5,1,2,1,1,1,2,-1,5,
-1],[4,1,6,2,4,2]],[[1,2],[1,1,2,1,3,1,2,1,1,1,2,-1,3,-1],[4,2]]],[[[1,1,2,
1],[3,2,2,1,1,1,2,-2,1,2],[1,2],[1,1,2,1,5,1,2,1,1,1,2,-1,5,-1],[4,2,6,1,4,-1,
6,1,4,-1,6,1]],[[1,1,2,1],[3,2,2,1,1,1,2,-2,1,2],[1,2],[1,1,2,1,5,1,2,1,1,1,2,
-1,5,-1],[6,1,4,2,6,-1,4,-1]],[[1,1,2,1],[3,2,2,1,1,1,2,-2,1,2],[1,2],[1,1,2,
1,5,1,2,1,1,1,2,-1,5,-1],[4,1,6,1,4,2,6,1,4,1]],[[1,1,2,1],[3,2,2,1,1,1,2,-2,
1,2],[1,2],[1,1,2,1,5,1,2,1,1,1,2,-1,5,-1],[6,2,4,-1,6,2,4,1]]],[[[1,1,2,1],[
3,2,2,1,1,1,2,-2,1,2],[1,2],[1,1,2,1,5,1,2,1,1,1,2,-1,5,-1],[4,2,6,-2,4,1,6,
2]],[[1,1,2,1],[3,2,2,1,1,1,2,-2,1,2],[1,2],[1,1,2,1,5,1,2,1,1,1,2,-1,5,-1],[
4,1,6,2,4,-1]],[[1,1,2,1],[3,2,2,1,1,1,2,-2,1,2],[1,2],[1,1,2,1,5,1,2,1,1,1,2,
-1,5,-1],[6,1,4,1],[7,1,4,2,6,1,7,-1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-2,1,2],[1,
2],[1,1,2,1,5,1,2,1,1,1,2,-1,5,-1],[6,2,4,-1,6,2,4,1]],[[1,1,2,1],[3,2,2,1,1,
1,2,-2,1,2],[1,2],[1,1,2,1,5,1,2,1,1,1,2,-1,5,-1],[6,1,4,-1,6,-1,4,1,6,-1]],[[
1,1,2,1],[3,2,2,1,1,1,2,-2,1,2],[1,2],[1,1,2,1,5,1,2,1,1,1,2,-1,5,-1],[4,1,6,
2,4,2]]],[[[1,2],[3,1,2,-2,3,1,2,-1,3,1],[1,1,2,1,1,3,2,-1],[4,1,5,1],[5,1,4,
1],[6,1,7,-1,6,2,7,1]],[[1,2],[3,1,2,-2,3,1,2,-1,3,1],[1,1,2,1,1,3,2,-1],[5,1,
4,1],[5,2,6,1,5,1,6,2]]],[[[1,2],[3,1,2,-2,3,1,2,-1,3,1],[1,1,2,1,1,3,2,-1],[
4,1,5,-3,4,1,5,3,4,1]],[[1,2],[3,1,2,-2,3,1,2,-1,3,1],[1,1,2,1,1,3,2,-1],[4,1,
5,1],[5,1,6,1],[6,1,7,2,6,1]],[[1,2],[3,1,2,-2,3,1,2,-1,3,1],[1,1,2,1,1,3,2,
-1],[4,1,5,1],[5,1,6,1],[7,1,6,1,7,1,5,1,4,1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-2,
1,2],[1,2],[1,1,2,1,5,1,2,1,1,1,2,-1,5,-1],[6,1,4,1],[7,1,4,2,6,1,7,-1]],[[1,
1,2,1],[3,2,2,1,1,1,2,-2,1,2],[1,2],[1,1,2,1,5,1,2,1,1,1,2,-1,5,-1],[4,1,6,2,
4,-1]],[[1,1,2,1],[3,2,2,1,1,1,2,-2,1,2],[4,-3]]],[[[1,1,2,1],[3,2,2,1,1,1,2,
-2,1,2],[1,2],[1,1,2,1,5,1,2,1,1,1,2,-1,5,-1],[4,2,6,1,4,2,6,1]],[[1,1,2,1],[
3,2,2,1,1,1,2,-2,1,2],[1,2],[1,1,2,1,5,1,2,1,1,1,2,-1,5,-1],[6,1,4,-1,6,1,4,1,
6,-1]],[[1,1,2,1],[3,2,2,1,1,1,2,-2,1,2],[4,-3]],[[1,1,2,1],[3,2,2,1,1,1,2,-2,
1,2],[1,2],[1,1,2,1,5,1,2,1,1,1,2,-1,5,-1],[6,1,4,1,6,-2,4,-1,6,-1]]],[[[1,1,
2,1],[3,2,2,1,1,1,2,-2,1,2],[1,2],[1,1,2,1,5,1,2,1,1,1,2,-1,5,-1],[6,1,4,1,6,
-2,4,-1,6,-1]],[[1,1,2,1],[3,2,2,1,1,1,2,-2,1,2],[1,2],[1,1,2,1,5,1,2,1,1,1,2,
-1,5,-1],[4,1,6,-2,4,2]],[[1,1,2,1],[3,2,2,1,1,1,2,-2,1,2],[1,2],[1,1,2,1,5,1,
2,1,1,1,2,-1,5,-1],[6,1,4,-1,6,1,4,1,6,-1]]],[[[1,2,2,1,1,-1,2,2],[1,2],[2,2,
4,2,2,-1,1,-1,2,-1],[3,1,5,-1,3,1,5,-1]],[[1,2],[2,2,3,2,2,-1,1,-1,2,-1],[4,
2]]],[[[1,2,2,1,1,-1,2,2],[1,2],[2,2,4,2,2,-1,1,-1,2,-1],[3,-3,5,-2]],[[1,2,2,
1,1,-1,2,2],[1,2],[2,2,4,2,2,-1,1,-1,2,-1],[3,1,5,-1,3,1,5,-1]],[[1,2,2,1,1,
-1,2,2],[1,2],[2,2,4,2,2,-1,1,-1,2,-1],[5,1,3,1,5,1,3,1]]],[[[1,2,2,2,1,1,2,
1],[3,3],[1,1,2,-1],[4,1,5,-1],[6,1,5,-1,4,1,5,-2,4,1,6,-1]],[[1,2,2,2,1,1,2,
1],[3,3],[1,1,2,-1],[5,1,4,1,5,-1]]],[[[1,2,2,1,1,-1,2,2],[1,2],[2,2,4,2,2,-1,
1,-1,2,-1],[3,1,5,1,3,1]],[[1,2],[2,2,3,2,2,-1,1,-1,2,-1]]],[[[1,2,2,1,1,-1,2,
2],[1,2],[2,2,4,2,2,-1,1,-1,2,-1],[3,2,5,-1,3,-1]],[[1,2],[2,2,3,2,2,-1,1,-1,
2,-1],[4,2]]],[[[1,2,2,1,1,-1,2,2],[1,2],[2,2,4,2,2,-1,1,-1,2,-1],[3,1,5,-1,3,
-2]],[[1,2],[2,2,3,2,2,-1,1,-1,2,-1],[4,2]]],[[[1,2,2,1,1,-1,2,2],[1,2],[2,2,
4,2,2,-1,1,-1,2,-1],[3,1,5,-1,3,1]],[[1,2],[2,2,3,2,2,-1,1,-1,2,-1],[4,
2]]],[[[1,2,2,1,1,-1,2,2],[1,2],[2,2,4,2,2,-1,1,-1,2,-1],[3,-3,5,2]],[[1,2,2,
1,1,-1,2,2],[1,2],[2,2,4,2,2,-1,1,-1,2,-1],[3,1,5,-1,3,1]]],[[[1,1,2,1],[3,1,
1,-2,2,-1,3,1,1,-1],[1,2],[2,2,5,-1,2,-1,1,-1,2,-1,5,-1],[6,1,4,-1,6,3]],[[1,
1,2,1],[3,1,1,-2,2,-1,3,1,1,-1]]],[[[1,2,2,1,1,-1,2,2],[1,2],[2,2,4,2,2,-1,1,
-1,2,-1],[5,1,3,-1,5,2,3,1]],[[1,2],[2,2,3,2,2,-1,1,-1,2,-1],[4,-4]],[[1,2,2,
1,1,-1,2,2],[3,-3]]],[[[1,2,2,1,1,-1,2,2],[1,2],[2,2,4,2,2,-1,1,-1,2,-1],[5,1,
3,-1,5,-1,3,1,5,1]],[[1,2],[2,2,3,2,2,-1,1,-1,2,-1],[4,1,2,-2,1,1,2,-1,1,-2,4,
2]],[[1,2,2,1,1,-1,2,2]]],[[[1,2],[2,1,3,-1,2,1,1,-1,3,-1],[1,1,2,1],[1,2,2,1,
5,2,2,1],[4,1,6,1],[7,2],[8,1,4,1,6,-1,8,1]],[[1,2],[2,1,3,-1,2,1,1,-1,3,-1],[
1,1,2,1],[1,2,2,1,5,2,2,1],[6,2,4,1],[7,1,6,-1,4,1,7,1]]],[[[1,1,2,1],[3,1,1,
-2,2,-1,3,1,1,-1],[1,2],[2,2,5,-1,2,-1,1,-1,2,-1,5,-1],[4,1,6,-1,4,1,6,1]],[[
1,1,2,1],[3,1,1,-2,2,-1,3,1,1,-1],[1,2],[2,2,5,-1,2,-1,1,-1,2,-1,5,-1],[6,2,4,
-1,6,-1]],[[1,1,2,1],[3,1,1,-2,2,-1,3,1,1,-1],[4,2]]],[[[1,2,2,2,1,1,2,1],[3,
3],[1,1,2,-1],[4,1,5,1],[6,1,5,2,4,1,5,1,6,2]],[[1,2,2,2,1,1,2,1],[3,3],[1,1,
2,-1],[4,1,5,1],[6,2,4,1,5,-1,4,1,5,-1]]],[[[1,2],[2,-1,3,1,2,-1,1,1,2,-1],[4,
-3]],[[1,2],[2,1,3,2]],[[1,2],[2,-1,3,1,2,-1,1,1,2,-1],[1,2],[2,1,5,2],[4,1,6,
-1,4,-1]]],[[[1,2],[2,-1,3,1,2,-1,1,1,2,-1],[1,2],[2,1,5,2],[4,2,6,1]],[[1,
2],[2,-1,3,1,2,-1,1,1,2,-1],[1,2],[2,1,5,2],[6,1,4,1]]],[[[1,2],[3,1,2,-2,3,1,
2,-1,3,1],[1,1,2,1,1,3,2,-1],[5,1,4,1],[5,1,6,1,4,1,5,1,6,-1,5,-2]],[[1,2],[3,
1,2,-2,3,1,2,-1,3,1],[1,1,2,1,1,3,2,-1],[4,1,5,1],[5,1,6,1,5,1,4,1,5,-1,6,
-2]],[[1,2],[3,1,2,-2,3,1,2,-1,3,1],[1,1,2,1,1,3,2,-1],[4,1,5,1],[6,2,4,1,5,
1]]],[[[1,2],[3,1,1,1,2,1,3,2,2,1],[4,5],[1,1,2,1],[6,1,1,-1,2,-1,6,1,1,2],[5,
1,7,1],[7,1,8,1],[9,1,7,1,5,1,9,1,8,1]],[[1,2],[3,1,1,1,2,1,3,2,2,1],[4,5],[1,
1,2,1],[6,1,1,-1,2,-1,6,1,1,2],[5,1,7,1],[5,1,7,-1,8,2,7,1,5,1]]],[[[1,1,2,
1],[3,2,2,1,1,1,2,-2,1,2],[1,2],[1,1,2,1,5,1,2,1,1,1,2,-1,5,-1],[6,2,4,1,6,1,
4,-1]],[[1,1,2,1],[3,2,2,1,1,1,2,-2,1,2],[1,2],[1,1,2,1,5,1,2,1,1,1,2,-1,5,
-1],[4,2,6,1]]],[[[1,2,2,2,1,1,2,1],[3,3],[1,1,2,-1],[4,1,5,1],[4,1,5,-1,6,1,
5,2,6,1]],[[1,2,2,2,1,1,2,1],[3,3],[1,1,2,-1],[4,1,5,1],[6,2,5,1,4,1,6,
-1]]],[[[1,2],[3,1,2,-2,3,1,2,-1,3,1],[1,1,2,1,1,3,2,-1],[4,1,5,1],[5,2,6,2,5,
1,6,1]],[[1,2],[3,1,2,-2,3,1,2,-1,3,1],[1,1,2,1,1,3,2,-1],[4,1,5,-1,4,1,5,-2,
4,1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-2,1,2],[4,-3]],[[1,1,2,1],[3,2,2,1,1,1,2,
-2,1,2],[1,2],[1,1,2,1,5,1,2,1,1,1,2,-1,5,-1],[6,2,4,-1]]],[[[1,1,2,1],[3,2,2,
1,1,1,2,-2,1,2],[1,2],[1,1,2,1,5,1,2,1,1,1,2,-1,5,-1],[6,1,4,-1,6,-1,4,1,6,
-1]],[[1,1,2,1],[3,2,2,1,1,1,2,-2,1,2],[1,2],[1,1,2,1,5,1,2,1,1,1,2,-1,5,-1],[
6,2,4,-1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-2,1,2],[1,2],[1,1,2,1,5,1,2,1,1,1,2,
-1,5,-1],[6,1,4,2,6,1]],[[1,1,2,1],[3,2,2,1,1,1,2,-2,1,2],[1,2],[1,1,2,1,5,1,
2,1,1,1,2,-1,5,-1],[4,1,6,-1,4,-1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-2,1,2],[1,
2],[1,1,2,1,5,1,2,1,1,1,2,-1,5,-1],[6,1,4,1,6,-1,4,1]],[[1,1,2,1],[3,2,2,1,1,
1,2,-2,1,2],[1,2],[1,1,2,1,5,1,2,1,1,1,2,-1,5,-1],[6,1,4,-2]]],[[[1,2],[3,1,1,
1,2,1,3,2,2,1],[4,5],[1,1,2,1],[6,1,1,-1,2,-1,6,1,1,2],[5,1,7,1],[7,1,8,1],[9,
1,8,2,9,1]],[[1,2],[3,1,1,1,2,1,3,2,2,1],[4,5],[1,1,2,1],[6,1,1,-1,2,-1,6,1,1,
2],[7,1,5,1,7,-3,5,1,7,-1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-2,1,2],[1,2],[1,1,2,
1,5,1,2,1,1,1,2,-1,5,-1],[6,2,4,-1,6,1]],[[1,1,2,1],[3,2,2,1,1,1,2,-2,1,2],[1,
2],[1,1,2,1,5,1,2,1,1,1,2,-1,5,-1],[4,-1,6,1,4,-1,6,-1]]],[[[1,2],[2,1,3,-1,2,
1,1,-1,3,-1],[1,1,2,1],[1,2,2,1,5,2,2,1],[4,1,6,-3,4,1,6,3,4,1]],[[1,2],[2,1,
3,-1,2,1,1,-1,3,-1],[1,1,2,1],[1,2,2,1,5,2,2,1],[4,1,6,1],[7,2],[8,1,6,1,4,1,
8,-1]]],[[[1,2,2,1,1,-1,2,2],[1,2],[2,2,4,2,2,-1,1,-1,2,-1],[5,1,3,1,5,1,3,-1,
5,-1]],[[1,2,2,1,1,-1,2,2]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-2,1,2],[1,2],[1,1,2,
1,5,1,2,1,1,1,2,-1,5,-1],[6,1,4,-1,6,1,4,1,6,1,4,2]],[[1,1,2,1],[3,2,2,1,1,1,
2,-2,1,2],[1,2],[1,1,2,1,5,1,2,1,1,1,2,-1,5,-1],[4,1,6,2]],[[1,1,2,1],[3,2,2,
1,1,1,2,-2,1,2],[4,-3]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-2,1,2],[1,2],[1,1,2,1,5,
1,2,1,1,1,2,-1,5,-1],[6,1,4,1,6,-1,4,1,6,-1]],[[1,1,2,1],[3,2,2,1,1,1,2,-2,1,
2],[1,2],[1,1,2,1,5,1,2,1,1,1,2,-1,5,-1],[4,1,6,2]],[[1,1,2,1],[3,2,2,1,1,1,2,
-2,1,2],[4,-3]]],[[[1,2],[3,1,2,-2,3,1,2,-1,3,1],[1,1,2,1,1,3,2,-1],[4,1,5,
1],[5,1,6,1,5,1,4,1,5,-1,6,1]],[[1,2],[3,1,2,-2,3,1,2,-1,3,1],[1,1,2,1,1,3,2,
-1],[5,1,4,1],[6,1,5,-1,4,1,6,1,5,-1]]],[[[1,2,2,1,1,-1,2,2],[1,2],[2,2,4,2,2,
-1,1,-1,2,-1],[5,1,3,1,5,-1,3,1,5,-1]],[[1,2],[2,2,3,2,2,-1,1,-1,2,-1],[4,1,2,
-2,1,1,2,-1,1,-2,4,-2]],[[1,2,2,1,1,-1,2,2],[3,-2]]],[[[1,2,2,1,1,-1,2,2],[1,
2],[2,2,4,2,2,-1,1,-1,2,-1],[5,2,3,2,5,1]],[[1,2,2,1,1,-1,2,2],[3,-2]],[[1,
2],[2,2,3,2,2,-1,1,-1,2,-1],[4,-4]]],[[[1,2],[2,2,3,2,2,-1,1,-1,2,-1],[4,1,2,
-2,1,1,2,-1,1,-2,4,2]],[[1,2],[2,2,3,2,2,-1,1,-1,2,-1],[4,1,2,-2,1,1,2,-1,1,
-2,4,-2]],[[1,2,2,1,1,-1,2,2],[3,-2]]],[[[1,2,2,1,1,-1,2,2],[1,2],[2,2,4,2,2,
-1,1,-1,2,-1],[5,1,3,-1,5,-2,3,-1]],[[1,2],[2,2,3,2,2,-1,1,-1,2,-1],[4,1,2,-2,
1,1,2,-1,1,-2,4,2]],[[1,2,2,1,1,-1,2,2],[3,-2]]],[[[1,2],[2,2,3,2,2,-1,1,-1,2,
-1],[4,-4]],[[1,2],[2,2,3,2,2,-1,1,-1,2,-1],[4,1,1,2,2,1,1,-1,2,2,4,1]],[[1,2,
2,1,1,-1,2,2]]],[[[1,2],[2,2,3,2,2,-1,1,-1,2,-1],[4,1,2,-2,1,1,2,-1,1,-2,4,
-2]],[[1,2,2,1,1,-1,2,2]]],[[[1,2],[2,2,3,2,2,-1,1,-1,2,-1],[4,1,2,-2,1,1,2,
-1,1,-2,4,2]],[[2,-2,1,1,2,-1,1,-2]],[[1,2,2,1,1,-1,2,2],[1,2],[2,2,4,2,2,-1,
1,-1,2,-1],[3,1,5,-1,3,-1,5,-1]]],[[[1,1,2,1],[3,1,1,-2,2,-1,3,1,1,-1],[4,
-3]],[[1,2],[2,2,3,-1,2,-1,1,-1,2,-1,3,-1],[4,2]]],[[[1,1,2,1],[3,1,1,-2,2,-1,
3,1,1,-1],[1,2],[2,2,5,-1,2,-1,1,-1,2,-1,5,-1],[4,1,6,1]],[[1,1,2,1],[3,1,1,
-2,2,-1,3,1,1,-1],[1,2],[2,2,5,-1,2,-1,1,-1,2,-1,5,-1],[6,1,4,-1]]],[[[1,2],[
3,1,2,-2,3,1,2,-1,3,1],[1,1,2,1,1,3,2,-1],[4,1,5,1],[6,1,5,1,6,2,5,2]],[[1,
2],[3,1,2,-2,3,1,2,-1,3,1],[1,1,2,1,1,3,2,-1],[4,1,5,-1,4,1,5,1,4,1]]],[[[1,1,
2,1],[3,1,1,-2,2,-1,3,1,1,-1],[1,2],[2,2,5,-1,2,-1,1,-1,2,-1,5,-1],[4,1,6,1,4,
-1]],[[1,2],[2,2,3,-1,2,-1,1,-1,2,-1,3,-1],[4,2]]],[[[1,1,2,1],[3,1,1,-2,2,-1,
3,1,1,-1],[1,2],[2,2,5,-1,2,-1,1,-1,2,-1,5,-1],[4,1,6,1],[7,1,4,-1,6,-1,7,
-1]],[[1,1,2,1],[3,1,1,-2,2,-1,3,1,1,-1],[1,2],[2,2,5,-1,2,-1,1,-1,2,-1,5,
-1],[4,2,6,-1]],[[1,2],[2,2,3,-1,2,-1,1,-1,2,-1,3,-1]]],[[[1,2],[2,-1,3,1,2,
-1,1,1,2,-1],[4,2]],[[1,2],[2,1,3,2]]],[[[1,2],[2,-1,3,1,2,-1,1,1,2,-1],[4,
-2]],[[1,2],[2,-1,3,1,2,-1,1,1,2,-1],[1,2],[2,1,5,2],[4,1,6,1]]],[[[1,2],[2,
-1,3,1,2,-1,1,1,2,-1],[1,2],[2,1,5,2],[6,1,4,-1,6,-1]],[[1,2],[2,-1,3,1,2,-1,
1,1,2,-1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-2,1,2],[1,2],[1,1,2,1,5,1,2,1,1,1,2,
-1,5,-1],[4,1,6,-2,4,-1]],[[1,1,2,1],[3,2,2,1,1,1,2,-2,1,2],[4,-3]],[[1,2],[1,
1,2,1,3,1,2,1,1,1,2,-1,3,-1],[4,2]]],[[[1,2],[2,1,3,-1,2,1,1,-1,3,-1],[1,1,2,
1],[1,2,2,1,5,2,2,1],[4,1,6,1],[4,1,6,-2],[8,1,7,1,8,1,7,1]],[[1,2],[2,1,3,-1,
2,1,1,-1,3,-1],[1,1,2,1],[1,2,2,1,5,2,2,1],[4,1,6,1],[6,-1,7,2,6,1,4,1]],[[1,
2],[2,1,3,-1,2,1,1,-1,3,-1],[1,1,2,1],[1,2,2,1,5,2,2,1],[4,1,6,1],[7,1,4,1,6,
1,4,1,6,1,7,1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-2,1,2],[1,2],[1,1,2,1,5,1,2,1,1,
1,2,-1,5,-1],[6,2,4,-1,6,2,4,1]],[[1,1,2,1],[3,2,2,1,1,1,2,-2,1,2],[1,2],[1,1,
2,1,5,1,2,1,1,1,2,-1,5,-1],[6,1,4,-1,6,-1,4,1,6,-1]],[[1,1,2,1],[3,2,2,1,1,1,
2,-2,1,2],[4,-3]],[[1,1,2,1],[3,2,2,1,1,1,2,-2,1,2],[1,2],[1,1,2,1,5,1,2,1,1,
1,2,-1,5,-1],[4,2],[7,-1,6,1,7,-1,6,-1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-2,1,2],[
1,2],[1,1,2,1,5,1,2,1,1,1,2,-1,5,-1],[6,1,4,-1,6,1,4,1,6,1]],[[1,1,2,1],[3,2,
2,1,1,1,2,-2,1,2],[4,-3]]],[[[1,2],[3,1,1,1,2,1,3,2,2,1],[4,5],[1,1,2,1],[6,1,
1,-1,2,-1,6,1,1,2],[5,1,7,1],[7,1,5,1,7,-1,8,3]],[[1,2],[3,1,1,1,2,1,3,2,2,
1],[4,5],[1,1,2,1],[6,1,1,-1,2,-1,6,1,1,2],[7,1,5,1],[5,1,7,1,8,-1,7,-1,8,
1]]],[[[1,2],[3,1,1,1,2,1,3,2,2,1],[4,5],[1,1,2,1],[6,1,1,-1,2,-1,6,1,1,2],[5,
1,7,1],[8,1,7,1,5,1,7,-1,8,1,7,1]],[[1,2],[3,1,1,1,2,1,3,2,2,1],[4,5],[1,1,2,
1],[6,1,1,-1,2,-1,6,1,1,2],[7,2,5,1,7,-2,5,1,7,1]]],[[[1,2],[3,1,2,-2,3,1,2,
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1,6,1]]],[[[1,2,2,1,1,-1,2,2],[1,2],[2,2,4,2,2,-1,1,-1,2,-1],[3,1,5,-2,3,
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5,1],[4,1,5,-1,6,2,4,1,5,-1]],[[1,1,2,1,1,3,2,-1],[3,3]]],[[[1,2,2,2,1,1,2,
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2,1],[3,3],[1,1,2,-1],[4,1,5,1],[6,2,4,1,5,-1,4,1,5,-1]]],[[[1,1,2,1],[3,2,2,
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2,1],[3,3],[1,1,2,-1],[4,1,5,1],[6,2,4,1,5,-1,4,1,5,-1]],[[1,2,2,2,1,1,2,1],[
3,3],[1,1,2,-1],[4,1,5,-2,4,1]],[[1,2,2,2,1,1,2,1],[3,3],[1,1,2,-1],[5,1,4,1,
5,2,4,1,5,-1]]],[[[1,2],[3,1,2,-2,3,1,2,-1,3,1],[1,1,2,1,1,3,2,-1],[4,1,5,1],[
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3,1],[1,1,2,1,1,3,2,-1],[4,1,5,1],[6,1,4,1,5,-1,6,1,5,1,6,1]],[[1,2],[3,1,2,
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1,1,2,-2,1,2],[1,2],[1,1,2,1,5,1,2,1,1,1,2,-1,5,-1],[6,1,4,-2]]],[[[1,1,2,1],[
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3,1,2,-1,1,1,2,-1]],[[1,2],[2,1,3,2]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-2,1,2],[1,
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1,1,1,2,-2,1,2],[4,-3]],[[1,2],[1,1,2,1,3,1,2,1,1,1,2,-1,3,-1],[4,2]]],[[[1,
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6,1]],[[1,2],[3,1,2,-2,3,1,2,-1,3,1],[1,1,2,1,1,3,2,-1],[5,1,4,1],[6,1,5,-1,4,
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3],[1,1,2,-1],[5,1,4,1],[4,1,5,1,6,-1,5,-1,6,1]],[[1,2,2,2,1,1,2,1],[3,3],[1,
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2]]],[[[1,2],[2,1,3,-1,2,1,1,-1,3,-1],[1,1,2,1],[1,2,2,1,5,2,2,1],[4,1,6,1],[
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2,2,1],[4,1,6,-1],[7,2,4,1,6,1]]],[[[1,2,2,2,1,1,2,1],[3,3],[1,1,2,-1],[4,1,5,
1],[6,1,5,1,6,1,5,2,6,1]],[[1,2,2,2,1,1,2,1],[3,3],[1,1,2,-1],[5,1,4,1],[6,1,
4,1,5,1,6,-1,5,-1]],[[1,2,2,2,1,1,2,1],[3,3],[1,1,2,-1],[4,1,5,1],[6,2,4,1,5,
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2,1,3,2,2,1],[4,5],[1,1,2,1],[6,1,1,-1,2,-1,6,1,1,2],[5,1,7,1]]],[[[1,1,2,1],[
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1,4,-1,6,-1]],[[1,2],[1,1,2,1,3,1,2,1,1,1,2,-1,3,-1]]],[[[1,2],[2,2,3,2,2,-1,
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2]],[[1,2],[2,2,3,2,2,-1,1,-1,2,-1],[4,1,2,-2,1,1,2,-1,1,-2]]],[[[1,2],[3,1,2,
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2,1,1,2,1],[3,3],[1,1,2,-1],[4,1,5,1],[6,2,5,1,4,1,5,-2,6,1]],[[1,2,2,2,1,1,2,
1],[3,3],[1,1,2,-1],[4,1,5,2,4,1]]],[[[1,2],[3,1,2,-2,3,1,2,-1,3,1],[1,1,2,1,
1,3,2,-1],[5,2],[6,1,5,1,4,1,6,-1,5,-1,4,1]],[[1,2],[3,1,2,-2,3,1,2,-1,3,1],[
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6,1,1,2],[5,1,7,1],[7,1,5,1,8,-2,7,2]],[[1,2],[3,1,1,1,2,1,3,2,2,1],[4,5],[1,
1,2,1],[6,1,1,-1,2,-1,6,1,1,2],[7,1,5,1,7,-3,5,1,7,-1]]],[[[1,2],[3,1,2,-2,3,
1,2,-1,3,1],[1,1,2,1,1,3,2,-1],[4,1,5,1],[5,1,4,1],[6,1,7,-1,5,-1,6,1,4,1,7,
1]],[[1,2],[3,1,2,-2,3,1,2,-1,3,1],[1,1,2,1,1,3,2,-1],[4,1,5,1],[6,1,5,2,4,1,
5,-2,6,-1]]],[[[1,2],[2,1,3,-1,2,1,1,-1,3,-1],[1,1,2,1],[1,2,2,1,5,2,2,1],[6,
2],[7,2,6,1,4,1]],[[1,2],[2,1,3,-1,2,1,1,-1,3,-1],[1,1,2,1],[1,2,2,1,5,2,2,
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1,5,-1,6,1,5,1,6,2]],[[1,2,2,2,1,1,2,1],[3,3],[1,1,2,-1],[5,-2,4,1,5,-1,4,
1]]],[[[1,2],[3,2,2,-1,1,-1,2,-2]],[[1,2],[3,1,1,1,2,-1,3,1,2,1,3,-1]]],[[[1,
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1,2,-1,5,-1],[6,1,4,1,6,-1,4,1,6,-1]],[[1,1,2,1],[3,2,2,1,1,1,2,-2,1,2]]],[[[
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-1,3,-1],[1,1,2,1],[1,2,2,1,5,2,2,1],[4,1,6,1],[6,1,4,1,6,-1,7,-1,4,1,6,-2,7,
1]],[[1,2],[2,1,3,-1,2,1,1,-1,3,-1],[1,1,2,1],[1,2,2,1,5,2,2,1],[4,1,6,-2,4,1,
6,-2]]],[[[1,2],[3,1,2,-2,3,1,2,-1,3,1],[1,1,2,1,1,3,2,-1],[4,1,5,1],[6,1,5,2,
4,1,5,-1,6,1]],[[1,2],[3,1,2,-2,3,1,2,-1,3,1],[1,1,2,1,1,3,2,-1],[4,1,5,1,4,1,
5,-1]]],[[[1,2],[3,1,2,-2,3,1,2,-1,3,1],[1,1,2,1,1,3,2,-1],[4,1,5,1],[6,2,5,1,
4,1,5,-1,6,1]],[[1,2],[3,1,2,-2,3,1,2,-1,3,1],[1,1,2,1,1,3,2,-1],[4,1,5,1],[6,
1,4,1,6,-1,5,1,4,1,5,-1]],[[1,2],[3,1,2,-2,3,1,2,-1,3,1]]],[[[1,1,2,1],[3,2,2,
1,1,1,2,-2,1,2],[1,2],[1,1,2,1,5,1,2,1,1,1,2,-1,5,-1],[4,1,6,1]],[[1,1,2,1],[
3,2,2,1,1,1,2,-2,1,2],[4,2]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-2,1,2],[1,2],[1,1,2,
1,5,1,2,1,1,1,2,-1,5,-1],[6,1,4,1,6,1]],[[1,1,2,1],[3,2,2,1,1,1,2,-2,1,
2]]],[[[1,2],[3,1,1,1,2,1,3,2,2,1],[4,5],[1,1,2,1],[6,1,1,-1,2,-1,6,1,1,2],[5,
1,7,1],[8,2,7,2,8,1],[9,3]],[[1,2],[3,1,1,1,2,1,3,2,2,1],[4,5],[1,1,2,1],[6,1,
1,-1,2,-1,6,1,1,2],[5,1,7,2]]],[[[1,2],[3,1,2,-2,3,1,2,-1,3,1],[1,1,2,1,1,3,2,
-1],[5,2,4,1,5,1]],[[1,2],[3,1,2,-2,3,1,2,-1,3,1],[4,1,2,1,1,-3,2,-1,1,
-1]]],[[[2,1,1,-1,2,1,1,3,2,1],[3,3]],[[2,1,1,-1,2,1,1,1,2,2,1,1]]],[[[1,2],[
3,1,2,-2,3,1,2,-1,3,1],[1,1,2,1,1,3,2,-1],[5,1,4,1,5,-2,4,1,5,2]],[[1,2],[3,1,
2,-2,3,1,2,-1,3,1],[1,1,2,1,1,3,2,-1],[4,1,5,-1,4,1,5,-1]]],[[[1,2],[3,1,2,-2,
3,1,2,-1,3,1],[1,1,2,1,1,3,2,-1],[4,1,5,-2,4,1,5,2,4,1]],[[1,2],[3,1,2,-2,3,1,
2,-1,3,1],[1,1,2,1,1,3,2,-1],[4,1,5,1],[5,1,6,1,5,1,4,1,5,-1,6,1]]],[[[1,2],[
3,1,2,-2,3,1,2,-1,3,1],[4,1,1,1,2,1,1,3,2,-1],[5,-2]],[[1,1,2,1,1,3,2,-1],[3,
3]]],[[[1,2,2,2,1,1,2,1],[3,3],[1,1,2,-1],[4,1,5,1],[5,1,4,1],[7,1,6,-1,5,-2,
4,1,5,-2,6,-2,7,-1],[8,3]],[[1,2,2,2,1,1,2,1],[3,3],[1,1,2,-1],[4,1,5,1],[5,2,
6,1,4,1,5,-1,6,2,5,1],[7,3]]],[[[1,2],[2,1,3,-1,2,1,1,-1,3,-1],[1,1,2,1],[1,2,
2,1,5,2,2,1],[4,1,6,1],[6,1,7,2,4,1,6,1,4,1]],[[1,2],[2,1,3,-1,2,1,1,-1,3,
-1],[1,1,2,1],[1,2,2,1,5,2,2,1],[6,1,4,1],[7,2,6,-2,4,1]]],[[[1,2],[3,1,2,-2,
3,1,2,-1,3,1]],[[1,2],[3,1,2,-2,3,1,2,-1,3,1],[1,1,2,1,1,3,2,-1],[4,1,5,1],[6,
2,4,1,5,-1,6,1,5,1]]],[[[1,2],[3,1,2,-2,3,1,2,-1,3,1],[1,1,2,1,1,3,2,-1],[4,1,
5,1],[5,1,6,1],[6,1,7,2,6,1]],[[1,1,2,1,1,3,2,-1],[3,2]]],[[[1,2],[3,1,1,1,2,
1,3,2,2,1],[4,5]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,1,2]]],[[[1,2],[3,1,2,-2,3,1,
2,-1,3,1]],[[1,1,2,1,1,3,2,-1]]],[[[1,2,2,2,1,1,2,1],[3,3]],[[1,1,2,-1]]],[[[
1,2],[2,1,3,-1,2,1,1,-1,3,-1]],[[1,1,2,1],[1,2,2,1,3,2,2,1]]],[[[1,1]],[[2,
1]]]]);

AFLT( "L3(4).2_2","M22.2",[1,3,2,5,17,15,17,9,8,6,11,7,13,19,20,22,24,25,29,
32,28,27,41,46,40,44,58,43,54,47,39,49,64,54,55,65,68,70,74,76,76,75,77,84,87,
89,88,99,100,128,125,129,106,136,110,134,127,131,107,145,150,132,121,160,144,
157,162,163,166,167,173,186,176,185,178,171,180,179,173,206,205,222,236,245,
198,217,216,237,239,242,223,258,255,270,271,273,275,277,276,281,293,282,288,
305,304,305,306,307,310,336,346,316,330,315,329,357,354,355,360,359,366,374,
364,367,362,373,377,388,388,387,400,407,409,408,413,415,420,426,425,440,439,
443,446,447,451,465,470,471,477,478,487,488] );

AFLT( "L3(4).2_2","M23",[1,2,2,3,4,5,4,4,5,6,5,6,6,7,8,9,8,10,13,12,13,11,16,
17,14,16,18,16,19,20,15,17,19,19,18,19,21,22,27,24,26,26,27,30,31,34,33,35,35,
37,40,38,36,39,41,38,40,37,40,43,42,38,41,45,43,44,46,47,48,49,58,51,57,53,58,
56,60,57,60,65,64,67,68,71,66,64,63,69,70,68,67,73,72,74,75,77,78,81,80,89,86,
89,88,99,98,97,99,100,102,106,105,103,107,104,108,110,111,109,114,113,115,120,
118,117,117,121,125,128,130,129,131,134,136,135,137,138,145,147,149,162,161,
163,166,168,173,180,182,183,189,190,199,202] );

AFLT( "L3(4).2_2","L3(4).3.2_2",[1,3,2,6,7,8,9,9,8,10,11,10,12,13,17,19,16,20,
23,24,21,22,25,29,27,28,30,25,35,36,26,33,34,32,31,34,37,40,45,46,43,46,45,49,
50,53,52,54,54,57,58,56,55,61,62,64,58,57,60,63,59,56,67,68,66,65,69,71,75,76,
87,82,89,86,84,85,84,89,90,97,96,99,98,100,101,95,94,102,105,104,99,106,103,
107,107,108,112,115,116,125,127,125,128,132,133,134,134,133,137,138,139,142,
141,140,143,146,145,144,148,149,152,159,157,151,156,158,161,167,166,165,169,
172,174,173,175,175,178,185,186,196,197,198,199,199,204,211,213,212,218,217,
223,224] );

AFLT( "L3(4).2_2","McL",[1,2,2,4,5,5,5,5,5,6,5,6,6,8,11,10,11,12,13,14,13,14,
17,17,15,17,18,17,18,19,16,17,18,18,18,18,21,26,29,28,30,30,30,34,36,39,38,40,
40,45,43,44,41,45,43,44,43,45,43,42,46,44,43,47,42,48,49,52,56,57,66,63,65,64,
66,65,67,67,67,86,85,89,88,90,84,85,86,87,87,88,89,92,91,94,93,98,104,105,106,
118,110,118,111,137,135,134,136,136,139,142,145,141,144,140,143,146,148,150,
155,156,171,169,171,172,172,170,178,196,198,197,201,204,208,207,214,215,225,
227,226,251,250,258,268,269,274,303,307,308,325,326,357,366] );

AFLT( "L3(4).2_2","L3(4).2^2",[1,2,4,6,7,8,8,10,10,9,13,14,12,18,19,22,23,26,
28,28,31,31,27,46,32,46,34,33,58,50,38,43,42,48,58,54,59,62,65,65,64,67,67,66,
74,76,76,77,78,89,79,89,80,107,97,107,91,109,97,85,86,109,94,100,101,115,126,
129,130,133,134,135,138,135,138,134,140,140,136,150,150,149,164,147,145,167,
167,164,175,175,156,159,163,182,186,183,190,193,193,194,197,195,197,198,199,
199,200,200,201,204,206,214,209,214,209,221,218,222,229,229,232,234,231,232,
231,234,235,238,241,241,244,250,256,256,257,258,259,260,260,265,265,267,270,
271,274,276,281,281,283,283,284,285] );

AFLT( "L3(4).2_2","U4(3).2_1",[1,2,3,6,13,13,13,15,14,11,16,12,10,20,23,31,29,
37,41,41,42,43,50,48,39,49,56,52,60,67,40,55,59,60,60,64,75,81,87,87,87,85,86,
101,112,114,113,124,125,139,149,140,136,137,147,138,151,142,148,120,162,141,
158,166,121,169,175,184,209,211,221,230,222,230,222,221,224,223,221,281,282,
310,300,306,276,286,285,299,304,303,314,317,330,340,342,355,378,384,383,404,
401,405,401,470,471,471,472,473,483,504,501,482,490,481,489,537,515,539,544,
545,569,586,568,570,567,585,593,644,645,645,656,671,674,675,700,702,716,727,
728,778,779,796,799,801,816,873,889,890,922,921,972,977] );

AFLT( "L3(4).2_2","U4(3).2_1",[1,2,3,6,13,13,13,14,15,11,16,12,10,20,23,31,29,
37,41,41,43,42,50,49,39,48,56,52,60,67,40,55,59,60,60,64,74,81,87,87,87,86,85,
101,112,113,114,124,125,140,149,139,136,138,148,137,151,141,147,120,162,142,
158,166,121,169,176,185,209,211,221,230,222,230,222,221,223,224,221,282,281,
310,299,306,276,285,286,300,303,304,314,317,330,339,343,354,378,383,384,404,
401,405,401,471,470,470,473,472,483,504,501,481,489,482,490,538,516,540,545,
544,570,585,567,569,568,586,593,645,644,644,656,670,675,674,700,701,716,728,
727,779,778,796,798,800,816,874,890,889,921,922,971,978] );

AFLT( "L3(4).3.2_2","M24",[1,2,2,4,5,4,10,11,10,16,11,16,18,19,20,20,20,23,23,
25,33,26,33,32,63,73,72,63,70,55,55,52,70,52,52,75,76,76,77,78,86,90,90,92,91,
90,102,96,96,106,107,108,109,144,141,191,208,170,231,170,221,189,228,191,235,
228,189,234,237,237,240,240,240,239,245,247,249,248,278,291,284,284,267,267,
263,281,267,262,260,267,293,303,304,335,346,346,361,456,434,503,398,454,509,
456,455,512,517,522,518,522,527,528,530,529,531,530,537,543,594,585,592,590,
576,599,551,558,576,574,605,603,605,613,614,613,616,617,620,791,820,733,771,
715,772,827,840,841,836,843,842,852,852,845,853,874,875,852,854,880,875,913,
912,898,900,917,929,928,928,931,1042,1053,1052,1061,1062,1064,1067,1073,1083,
1077,1088,1087,1146,1140,1137,1145,1140,1139,1161,1165,1166,1229,1220,1229,
1225,1224,1226,1238,1236,1241,1246,1247,1307,1306,1303,1265,1315,1317,1318,
1340,1343,1342,1354,1390,1389,1393,1394,1408,1448,1447,1467,1466,1491,1492,
1509,1516,1518,1522] );

AFLT( "L3(4).3.2_2","L3(4).D12",[1,3,5,6,7,8,9,11,11,16,12,17,18,20,23,24,25,
30,32,34,35,35,36,36,39,44,46,42,42,50,55,53,40,48,55,60,61,62,63,64,67,67,68,
70,69,69,85,76,83,89,90,91,91,92,93,121,121,95,108,100,122,100,103,122,125,
106,98,132,134,136,140,143,145,146,149,152,151,153,163,154,163,164,158,156,
157,164,157,158,156,159,166,171,173,178,178,179,179,191,180,181,185,191,205,
192,192,207,211,214,220,218,227,232,233,233,234,234,235,235,241,247,238,247,
244,236,239,244,246,246,252,255,253,256,257,257,258,261,262,263,264,273,272,
273,272,277,282,281,289,290,290,293,294,294,293,296,296,295,295,297,297,300,
301,308,308,311,318,318,317,321,330,332,332,333,340,340,341,342,344,343,345,
345,348,346,346,348,347,347,351,353,353,359,357,358,358,357,359,361,361,362,
365,366,375,375,372,374,378,379,379,380,381,381,383,390,390,391,391,392,396,
396,398,398,399,399,400,403,404,406] );

AFLT( "L3(4).2_1","U4(3).2_3",[1,3,2,5,7,8,8,7,12,12,10,9,11,13,20,17,15,21,
33,33,32,40,24,23,24,36,40,26,31,39,34,41,35,35,31,38,29,25,41,46,51,59,59,58,
57,64,66,67,69,69,68,81,77,79,79,97,84,84,83,74,94,75,75,97,91,101,85,101,76,
99,91,82,108,103,106,117,119,136,137,134,135,159,164,160,164,163,165,160,172,
178,177,175,170,172,178,190,192,191,187,188,199,185,205,213,216,216,215,244,
248,247,245,249,258,253,252,253,259,259,266,269,278,279,277,267,268,284,309,
307,307,306,335,341,351,353,362,363,365,368,409,410,408,415,413,414,420,448,
449,446,457,506,511] );

AFLT( "L3(4).2_1","L3(4).2^2",[1,3,4,6,7,10,8,10,9,14,14,11,15,18,21,23,24,26,
33,27,33,37,35,44,44,45,45,31,57,40,51,54,51,41,49,54,57,38,42,59,62,64,67,67,
65,69,73,76,78,77,78,80,91,91,79,81,89,109,109,121,95,121,87,95,112,123,122,
111,108,123,122,96,125,126,127,132,133,138,140,140,137,162,149,144,156,156,
146,162,160,153,171,167,178,178,171,185,182,186,180,185,181,186,191,193,195,
194,195,198,200,199,200,201,211,210,210,202,211,203,225,222,227,227,219,225,
220,229,232,237,236,237,239,247,254,256,258,257,258,259,269,269,268,271,271,
270,272,278,279,279,281,284,287] );

AFLT( "L3(4).2_1","HS",[1,3,2,4,8,9,8,9,6,7,7,12,7,15,19,18,17,21,30,27,30,42,
37,34,35,39,40,23,47,44,33,46,33,32,49,46,48,37,43,50,54,60,61,61,60,65,71,73,
80,79,80,96,88,88,87,115,109,110,110,103,113,104,106,114,129,122,125,124,107,
123,126,98,132,134,133,139,146,151,152,152,150,206,188,207,191,191,174,205,
228,222,216,183,227,226,217,241,239,241,238,240,237,240,253,254,258,257,258,
290,288,290,289,298,329,334,333,335,330,327,352,354,356,356,355,353,354,364,
372,379,378,380,397,424,434,439,441,440,442,446,493,494,492,497,496,498,511,
535,537,536,546,580,583] );

AFLT( "L3(4).2_1","L3(4).6",[1,2,3,6,7,8,8,8,11,11,11,10,9,12,13,16,15,19,21,
21,21,25,24,24,24,25,25,20,28,23,26,27,26,26,28,27,28,22,27,29,32,35,37,37,37,
36,40,42,43,43,43,44,45,45,45,49,48,48,48,50,49,50,50,49,51,52,51,52,47,52,51,
46,55,53,54,60,64,69,69,69,66,74,75,74,75,75,72,74,77,76,76,73,77,77,76,80,79,
79,80,80,78,79,84,88,92,92,92,97,98,98,98,101,103,102,102,102,103,103,106,104,
105,105,105,106,106,108,109,112,112,112,114,116,117,119,120,120,120,123,128,
128,128,129,129,129,131,136,136,136,137,140,141] );

AFLT( "L3(4).2^2","McL:2",[1,2,3,2,3,5,8,8,7,8,9,7,8,7,6,9,9,11,18,16,14,13,
18,17,14,19,28,20,21,25,20,22,28,32,23,27,31,24,31,30,29,32,28,23,31,28,33,32,
27,26,29,21,30,32,29,33,27,32,35,43,40,41,52,49,48,53,49,54,55,55,60,52,62,63,
61,65,66,66,75,67,79,84,90,76,71,78,73,69,89,83,75,80,77,75,79,68,75,74,92,70,
71,91,81,88,76,82,89,72,89,84,92,83,92,90,87,73,79,80,86,85,73,83,92,77,100,
93,97,102,104,111,113,110,115,128,136,127,126,128,137,127,123,152,157,163,155,
158,165,162,164,159,170,160,177,181,156,164,161,172,168,174,180,163,176,167,
173,178,159,166,174,169,177,175,181,178,167,171,172,174,179,182,196,185,189,
188,183,184,193,204,208,211,210,209,212,226,226,231,230,265,267,266,270,278,
274,275,276,273,277,271,279,278,274,280,284,272,281,283,282,293,298,286,290,
287,294,291,285,307,299,292,314,323,340,340,339,332,337,338,338,381,382,379,
383,388,390,393,392,394,389,391,397,398,401,399,396,406,407,415,428,429,433,
437,447,477,484,487,490,504,505,502,503,510,511,516,518,517,562,573,564,568,
569,580,585,618,630,705,713,711,715,723] );

AFLT( "L3(4).2^2","U4(3).2^2_133",[1,2,4,6,3,8,16,16,14,17,22,13,20,15,11,21,
23,25,37,35,28,29,41,36,27,43,94,52,54,86,55,45,97,61,47,84,63,51,62,71,100,
67,98,50,76,95,64,69,87,89,105,58,74,80,102,66,91,69,112,116,122,118,141,133,
133,144,134,143,145,140,153,146,155,156,154,157,188,189,262,226,242,208,297,
265,173,241,170,196,313,199,268,245,277,271,251,229,269,167,298,198,184,301,
255,204,274,258,314,163,316,212,295,206,294,296,217,162,246,248,215,213,181,
222,312,287,346,321,324,336,333,361,352,358,363,374,411,374,376,372,409,377,
418,433,446,509,437,462,502,515,497,452,600,468,571,584,439,498,470,532,484,
524,583,513,568,597,541,611,453,505,537,493,576,528,591,615,599,604,554,555,
624,639,663,633,647,648,637,641,654,672,681,686,687,688,712,713,714,723,720,
802,803,804,808,848,837,880,859,877,874,833,885,850,842,928,897,824,819,867,
905,952,965,938,948,942,954,946,945,979,969,960,987,997,1031,1032,1038,1056,
1040,1042,1045,1125,1128,1123,1126,1131,1139,1165,1160,1156,1152,1147,1187,
1195,1207,1190,1197,1214,1211,1223,1243,1244,1255,1301,1293,1358,1367,1389,
1393,1413,1412,1414,1416,1418,1421,1426,1431,1427,1516,1534,1517,1528,1532,
1543,1557,1599,1621,1759,1773,1771,1775,1783] );

AFLT( "L3(4).2^2","U4(3).2^2_133",[1,2,3,6,4,8,16,16,14,17,21,13,20,15,12,22,
23,25,37,36,27,29,41,35,28,43,94,52,53,87,55,45,97,61,46,85,62,51,63,70,99,67,
98,49,75,95,65,69,86,89,106,58,73,80,101,66,90,69,111,117,121,118,140,133,133,
144,134,143,146,141,153,145,154,156,155,157,188,189,262,226,243,207,298,264,
173,241,171,195,313,200,268,244,276,271,250,230,269,168,297,198,184,302,254,
203,274,259,314,164,316,211,296,205,293,295,217,161,247,248,216,214,182,221,
311,286,347,320,325,335,334,361,353,359,363,374,411,374,375,372,410,377,418,
433,447,510,437,463,502,514,497,452,601,467,570,585,440,498,469,533,484,525,
582,512,568,597,540,612,453,506,536,492,577,529,591,616,599,605,553,556,623,
638,662,632,646,649,636,642,653,671,682,686,688,687,712,713,714,724,720,803,
802,804,808,847,838,880,858,877,873,834,885,849,843,927,896,824,818,866,904,
953,966,937,949,943,955,947,944,978,968,959,987,997,1031,1032,1037,1056,1040,
1041,1044,1126,1127,1124,1125,1132,1140,1165,1161,1157,1153,1146,1188,1196,
1208,1189,1198,1213,1210,1223,1243,1245,1255,1301,1294,1357,1366,1390,1393,
1414,1412,1413,1415,1419,1420,1425,1430,1427,1516,1535,1518,1529,1533,1542,
1557,1598,1621,1760,1774,1772,1776,1782] );

AFLT( "L3(4).2^2","L3(4).D12",[1,5,2,3,4,8,9,11,16,11,10,17,12,16,15,13,14,18,
25,22,28,32,24,21,33,34,39,36,37,57,35,46,39,50,45,58,49,44,51,47,41,48,40,45,
49,42,52,53,59,60,41,38,56,48,43,54,59,55,61,65,66,64,73,68,69,83,69,82,75,84,
72,80,87,89,88,91,92,92,95,93,109,123,115,96,103,108,104,131,121,124,95,110,
99,98,109,94,100,105,120,132,106,118,111,126,97,112,122,102,121,129,119,130,
116,117,125,107,114,113,128,127,104,130,119,101,137,134,133,141,140,149,150,
148,152,157,164,159,155,156,165,156,162,172,176,183,185,177,181,184,180,179,
203,189,206,187,186,180,190,195,207,193,202,183,205,191,194,199,178,182,197,
208,206,198,188,200,192,204,196,193,201,212,209,211,214,213,212,211,216,223,
225,232,229,231,234,239,239,245,246,256,257,257,262,268,267,263,266,264,265,
269,272,268,267,276,274,273,275,270,271,282,279,278,281,277,283,280,278,286,
279,284,290,292,295,294,303,297,301,302,302,317,316,319,318,325,326,330,327,
329,324,328,334,333,337,335,336,331,338,340,341,341,343,347,349,354,356,360,
361,364,362,363,363,365,365,370,371,374,382,383,384,385,385,387,390,395,396,
400,403,402,401,405] );

AFLT( "L3(3).2","G2(3)",[1,2,2,6,5,9,11,10,8,11,20,19,20,14,13,18,27,25,31,31,
28,34,32,34,30,35,42,54,56,52,56,58,60,63,70,70,72,66,67,72,73,78,91,98,84,
106,120,118,117,112,121,133,154,157,160,163,166,169,174,174,180,200,222,212,
236,242,238,244,264,276,280,283,300,340,354,375,421,427] );

AFLT( "L3(3).2","G2(3)",[1,2,2,3,5,8,11,10,9,11,16,18,16,12,13,19,26,25,30,30,
29,33,32,33,31,36,38,54,57,53,57,58,60,64,69,69,71,66,68,71,74,75,96,92,93,
103,120,117,118,111,121,134,155,156,158,159,166,170,171,171,180,201,215,214,
237,243,239,244,265,274,285,284,301,337,353,376,422,428] );

AFLT( "L3(3).2","2F4(2)'",[1,3,3,4,4,12,11,8,13,10,16,16,17,18,18,16,37,25,
44,46,41,50,35,49,47,52,51,57,59,61,60,60,62,76,117,119,122,97,115,124,126,
127,129,128,129,135,138,140,142,145,147,148,211,215,217,218,219,227,222,225,
231,236,238,237,290,294,293,297,307,311,313,312,349,369,370,398,427,433] );

AFLT( "L3(3).2","2F4(2)'",[1,3,3,4,4,12,10,8,13,11,17,17,16,18,18,17,38,26,
46,44,41,49,34,50,47,51,52,58,60,61,59,59,62,77,118,120,124,96,113,122,127,
126,128,129,128,133,137,141,139,145,147,148,210,216,218,217,219,226,223,224,
232,236,237,238,291,295,292,297,306,311,312,313,350,368,370,397,428,432] );

AFLT( "L3(4).3","L3(4).3.2_2",[1,2,4,5,6,7,8,9,10,13,16,18,20,22,21,25,26,34,
37,38,39,40,41,42,43,44,46,45,51,52,53,54,55,56,58,57,69,72,76,78,77,78,79,81,
80,84,89,92,93,94,95,99,107,109,114,113,115,116,117,118,124,125,131,132,133,
134,136,137,144,149,148,152,151,154,155,170,171,174,173,175,176,178,177,180,
179,187,188,189,195,190,199,207,206,208,212,213,219,220,223,225] );

AFLT( "L3(4).3","L3(4).6",[1,3,4,5,6,7,8,8,11,12,16,17,19,20,20,21,22,27,29,
30,31,32,33,33,35,34,37,37,41,42,42,43,44,48,45,48,53,59,64,61,62,63,67,67,65,
69,69,70,71,73,73,75,79,81,87,87,88,88,89,89,93,92,95,97,98,98,100,101,104,
108,108,109,109,110,110,118,118,119,119,120,121,123,122,124,124,125,126,126,
127,127,129,134,134,135,137,137,139,139,140,142] );

AFLT( "L3(4).3","L3(4).3.2_3",[1,2,4,5,6,7,8,8,9,11,13,16,19,20,20,21,22,26,
29,30,31,32,35,35,36,37,39,39,43,44,44,45,46,50,47,50,55,58,63,64,62,64,67,67,
65,68,68,70,71,75,75,76,80,81,86,86,87,87,88,88,92,90,93,96,98,98,99,100,103,
107,107,108,108,109,109,116,116,118,118,119,120,121,122,123,123,124,125,125,
126,126,128,133,133,134,136,136,138,138,139,141] );

AFLT( "L3(4).2_3","U4(3).2_3",[1,2,3,5,7,8,7,8,10,12,9,13,15,20,17,21,32,27,
26,33,29,28,38,36,25,37,41,45,51,50,52,59,57,59,58,64,66,67,68,69,77,81,79,83,
92,84,78,84,99,89,90,98,104,112,116,119,136,129,134,137,156,163,166,180,175,
179,164,186,197,193,205,213,215,216,245,244,248,247,249,254,256,270,276,272,
284,309,308,337,338,349,353,365,364,368,410,412,416,421,442,457,507,512] );

AFLT( "L3(4).2_3","L3(4).2^2",[1,4,5,6,7,10,8,10,9,14,16,18,20,25,23,26,27,29,
31,33,30,36,42,39,38,47,54,59,62,61,60,64,67,65,67,72,75,76,77,78,79,80,91,89,
92,109,84,109,114,119,120,113,126,128,131,133,140,139,138,140,143,149,148,151,
167,154,156,182,184,186,192,193,194,195,198,199,200,200,201,205,207,222,223,
224,229,232,233,240,242,253,256,257,258,259,266,270,271,273,277,281,284,
286] );

AFLT( "L3(4).2_3","L3(4).3.2_3",[1,2,3,6,7,8,8,8,9,9,10,11,14,18,13,19,21,23,
20,21,24,25,26,28,22,27,26,29,32,34,33,36,39,39,39,41,42,44,45,45,47,46,47,50,
49,50,48,50,51,53,54,52,55,57,61,63,68,69,68,68,74,76,77,78,75,79,76,80,82,80,
85,87,90,90,96,98,98,98,100,101,102,103,104,105,107,108,111,113,115,117,118,
119,119,121,127,128,128,131,135,136,139,140] );

AFLT( "L3(4).3.2_3","L3(4).D12",[1,3,4,6,7,8,9,11,16,13,18,19,24,22,26,30,27,
33,34,35,39,44,37,57,58,48,52,51,61,62,63,64,65,66,67,68,70,78,69,77,80,88,90,
91,92,93,95,96,110,121,117,116,128,127,134,135,141,143,144,147,150,151,152,
153,154,160,163,156,165,171,173,175,174,176,178,180,184,203,187,211,220,213,
217,226,231,233,234,235,242,239,240,236,253,250,254,256,259,257,261,262,266,
265,277,283,280,288,290,294,296,304,303,310,319,322,325,332,336,340,341,342,
343,344,345,351,353,359,364,365,368,369,371,377,379,380,384,390,393,398,400,
402,404,408] );

AFLT( "L3(4).6","L3(4).D12",[1,2,3,6,7,8,9,11,15,10,16,18,28,29,21,24,30,31,
34,35,39,44,47,45,49,41,48,59,61,62,63,64,67,70,68,75,69,86,71,87,90,91,92,93,
95,94,102,121,109,104,130,119,134,133,137,138,139,142,143,148,153,151,153,152,
154,155,163,169,156,171,173,177,178,183,180,206,193,209,211,212,220,222,228,
229,230,230,233,234,235,243,237,239,236,251,253,249,256,257,260,261,262,268,
267,277,279,278,285,290,294,296,298,302,313,316,323,324,331,332,340,341,342,
344,343,345,351,353,359,363,365,367,370,373,376,379,380,385,390,394,398,400,
401,404,407] );

AFLT( "L3(4).D12", "Co3", [1,3,2,3,2,5,6,5,9,11,9,9,11,11,7,8,8,13,18,14,18,19,16,
16,16,19,20,24,24,23,25,23,24,26,27,27,31,31,39,39,37,39,37,35,33,34,40,41,42,
41,42,46,41,46,41,40,48,47,47,49,50,54,56,59,61,63,69,69,69,86,88,88,77,78,78,
73,80,76,75,77,77,80,73,78,67,84,89,90,91,93,94,106,99,101,125,129,129,125,
135,125,135,111,113,116,117,113,116,156,151,155,157,160,155,151,164,163,164,
168,163,163,161,161,143,141,149,148,144,147,143,141,137,139,176,170,175,172,
199,198,202,185,191,195,190,195,190,194,196,207,208,211,215,216,217,224,231,
234,234,234,234,262,266,266,242,242,244,238,239,252,261,256,278,291,296,295,
293,327,298,331,331,336,385,386,344,358,301,304,406,406,346,348,428,428,363,
370,366,366,363,381,421,421,427,417,412,414,395,390,354,357,449,450,432,430,
435,434,442,448,444,436,444,461,470,470,471,472,479,485,486,481,482,483,484,
487,488,488,529,508,507,494,521,518,517,514,501,537,541,537,565,564,605,628,
627,621,622,582,581,649,650,657,658,656,659,665,748,781,764,762,684,692,726,
736,791,793,724,799,721,796,808,807,834,814,817,821,824,822,848,844,843,835,
829,852,876,877,937,937,937,942,942,921,906,907,929,922,940,946,948,899,917,
963,1023,1022,1017,1024,1033,1032,994,1042,1044,1045,1048,1056,1059,1058,1060,
1070,1079,1118,1122,1123,1141,1159,1169,1166,1173,1171,1174,1172,1196,1198,
1204,1207,1279,1281,1283,1295,1299,1359,1359,1360,1365,1349,1381,1423,1436,
1439,1464,1503,1514,1518,1518,1533,1539,1595,1592,1593,1599,1604,1606,1605,
1620,1609,1627,1639,1640,1622,1667,1681,1672,1673,1710,1788,1792,1830,1844,
1839,1834,1855,1884,1888,1899,1904,1906,1958,1957,1959,2005,2074,2125,2144,
2262,2373,2412,2415,2416,2436,2438,2447,2448,2449,2458]);
#############################################################################

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##
#E