tmesym.tom

#############################################################################
##
#W  tmesym.tom           GAP table of marks library           Thomas Merkwitz
##
#H  @(#)$Id: tmesym.tom,v 4.2 2001/07/05 06:59:03 gap Exp $
##
#Y  Copyright (C)  1997,  Lehrstuhl D fuer Mathematik,  RWTH Aachen,  Germany
##
##  This file contains the tables of marks of the groups $2^4:Sx$.
##
#H  tomlib history
#H  --------------
#H  $Log: tmesym.tom,v $
#H  Revision 4.2  2001/07/05 06:59:03  gap
#H  first revision for tomlib
#H
#H
#H  tom history (GAP 4)
#H  -------------------
#H  (Rev. 4.2 of tomlib coincides with Rev. 4.1 of tom in GAP 4)
#H  
#H  RCS file: /gap/CVS/GAP/4.0/tom/tmesym.tom,v
#H  Working file: tmesym.tom
#H  head: 4.1
#H  branch:
#H  locks: strict
#H  access list:
#H  symbolic names:
#H  	GAP4R2: 4.1.0.10
#H  	GAP4R2PRE2: 4.1.0.8
#H  	GAP4R2PRE1: 4.1.0.2
#H  	GAP4R1: 4.1.0.6
#H  	GAP4B5: 4.1.0.4
#H  	dec16-98b: 4.1
#H  	GAP4b4: 4.1
#H  	version-14-apr: 4.1
#H  	version-15-jun: 4.1
#H  keyword substitution: kv
#H  total revisions: 2;	selected revisions: 2
#H  description:
#H  ----------------------------
#H  revision 4.1
#H  date: 1997/11/20 11:42:32;  author: gap;  state: Exp;  lines: +2 -2
#H  changed revision number to 4.1
#H  ----------------------------
#H  revision 1.1
#H  date: 1997/11/17 12:52:23;  author: gap;  state: Exp;
#H  added new table of marks library file
#H  ==========================================================================
#H
Revision.tmesym_tom :=
    "@(#)$Id: tmesym.tom,v 4.2 2001/07/05 06:59:03 gap Exp $";

SetActualLibFileName("tmesym");
LIBTOM( "2^4:S5`",
[[1],[1,2],[1,3],[1,4],[1,5],[1,2,6],[1,2,7],[1,4,8],[1,2,9],[1,4,10],[1,2,4,
11],[1,2,12],[1,4,13],[1,2,14],[1,2,15],[1,2,4,16],[1,2,3,17],[1,4,18],[1,3,4,
19],[1,20],[1,4,5,21],[1,3,5,22],[1,3,5,23],[1,2,3,7,17,24],[1,2,6,7,9,25],[1,
2,4,6,11,16,26],[1,2,6,12,27],[1,2,4,11,14,28],[1,2,12,14,29],[1,2,3,12,17,
30],[1,2,7,14,31],[1,2,3,4,11,17,19,32],[1,2,6,15,33],[1,2,3,6,14,17,34],[1,2,
3,4,11,14,17,35],[1,2,3,12,14,17,36],[1,2,4,11,18,37],[1,2,12,38],[1,2,3,7,14,
17,39],[1,2,12,15,40],[1,2,4,8,10,11,13,16,41],[1,2,4,7,11,12,42],[1,3,4,10,
18,19,43],[1,2,4,9,15,16,44],[1,3,4,8,18,19,45],[1,4,20,46],[1,2,5,7,47],[1,4,
5,10,48],[1,2,5,6,49],[1,4,5,8,50],[1,2,5,9,51],[1,4,5,13,52],[1,3,4,5,19,21,
22,23,53],[1,2,6,7,9,25,54],[1,2,6,12,27,55],[1,2,4,6,8,10,11,13,16,26,41,
56],[1,2,6,15,33,57],[1,2,6,7,9,15,25,33,58],[1,2,4,6,11,15,16,26,33,59],[1,2,
4,6,7,9,11,12,16,25,26,27,42,60],[1,2,6,12,15,27,33,40,61],[1,2,3,6,7,9,14,17,
24,25,31,34,39,62],[1,2,4,6,11,12,15,16,26,27,33,63],[1,2,6,7,9,12,15,25,27,
33,64],[1,2,3,6,12,14,17,27,29,30,34,36,65],[1,2,4,6,11,16,18,26,37,66],[1,2,
4,6,7,9,11,15,16,25,26,33,44,67],[1,2,6,7,9,14,25,31,68],[1,2,6,12,27,38,69],[
1,2,3,4,6,11,14,16,17,19,26,28,32,34,35,70],[1,2,3,4,8,10,11,13,16,17,18,19,
32,37,41,43,45,71],[1,2,3,4,7,11,12,14,17,19,24,30,32,35,36,39,42,72],[1,2,4,
8,10,11,13,14,16,18,28,37,41,73],[1,2,3,12,15,17,30,38,40,74],[1,2,3,4,7,11,
12,14,17,28,29,31,35,36,39,42,75],[1,2,12,14,15,29,38,40,76],[1,4,18,20,46,
77],[1,2,3,5,7,17,22,24,47,78],[1,2,3,5,7,14,17,23,39,47,79],[1,2,4,5,7,11,12,
21,42,47,80],[1,2,3,5,6,14,17,23,34,49,81],[1,3,4,5,8,18,19,23,45,50,82],[1,3,
4,5,10,18,19,23,43,48,83],[1,2,4,5,9,15,16,21,44,51,84],[1,2,3,6,7,9,14,17,24,
25,31,34,39,54,62,68,85],[1,2,4,6,7,9,11,12,16,18,25,26,27,37,42,60,66,86],[1,
2,4,6,7,9,11,12,15,16,25,26,27,33,42,44,54,58,60,64,67,87],[1,2,4,6,7,9,11,12,
15,16,25,26,27,33,40,42,55,60,61,63,64,88],[1,2,3,4,6,7,9,11,12,14,16,17,19,
24,25,26,27,28,29,30,31,32,34,35,36,39,42,60,62,65,70,72,75,89],[1,2,4,6,7,9,
11,12,16,25,26,27,38,42,60,69,90],[1,2,4,6,7,8,9,10,11,12,13,15,16,25,26,27,
33,41,42,44,56,59,60,63,67,91],[1,2,4,6,7,9,11,12,14,16,25,26,27,31,42,60,68,
92],[1,2,4,6,7,9,11,12,15,16,25,26,27,33,40,44,57,58,59,61,63,64,67,93],[1,2,
3,6,7,9,14,15,17,24,25,31,33,34,39,58,62,68,94],[1,2,3,4,6,11,14,15,16,17,18,
19,26,28,32,33,34,35,37,59,66,70,95],[1,2,3,6,12,14,17,27,29,30,34,36,38,55,
65,69,96],[1,2,3,6,12,14,15,17,27,29,30,33,34,36,38,40,61,65,69,74,76,97],[1,
2,3,4,6,8,10,11,13,14,16,17,18,19,26,28,32,34,35,37,41,43,45,56,66,70,71,73,
98],[1,2,5,6,7,9,25,47,49,51,54,99],[1,2,5,6,12,27,49,55,100],[1,2,4,5,6,8,10,
11,13,16,26,41,48,49,50,52,56,101],[1,2,5,6,15,33,49,57,102],[1,2,3,4,5,7,11,
12,14,17,19,21,22,23,24,30,32,35,36,39,42,47,53,72,78,79,80,103],[1,4,5,10,20,
21,46,48,104],[1,4,5,8,20,21,46,50,105],[1,4,5,13,20,21,46,52,106],[1,2,4,6,7,
8,9,10,11,12,13,15,16,25,26,27,33,40,41,42,44,54,55,56,57,58,59,60,61,63,64,
67,87,88,91,93,107],[1,2,4,6,7,9,11,12,14,15,16,18,25,26,27,31,33,37,40,42,55,
60,61,63,64,66,68,86,88,92,108],[1,2,3,4,6,7,9,11,12,14,15,16,17,19,24,25,26,
27,28,29,30,31,32,33,34,35,36,38,39,40,42,55,60,61,62,63,64,65,69,70,72,74,75,
76,88,89,90,96,97,109],[1,2,4,6,7,9,11,12,15,16,18,25,26,27,33,37,38,42,44,54,
58,60,64,66,67,69,86,87,90,110],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,
19,24,25,26,27,28,29,30,31,32,33,34,35,36,37,39,41,42,43,44,45,56,59,60,62,63,
65,66,67,70,71,72,73,75,86,89,91,95,98,111],[1,2,4,6,7,8,9,10,11,12,13,14,15,
16,25,26,27,31,33,38,41,42,44,56,59,60,63,67,68,69,90,91,92,112],[1,2,3,4,6,7,
9,11,12,14,15,16,17,19,24,25,26,27,28,29,30,31,32,33,34,35,36,39,42,44,54,58,
60,62,64,65,67,68,70,72,75,85,87,89,92,94,113],[1,2,6,7,9,20,25,54,114],[1,2,
3,5,6,7,9,14,17,22,24,25,31,34,39,47,49,51,54,62,68,78,85,99,115],[1,2,4,5,6,
7,9,11,12,15,16,21,25,26,27,33,42,44,47,49,51,54,58,60,64,67,80,84,87,99,
116],[1,2,3,5,6,7,9,14,17,23,24,25,31,34,39,47,49,51,54,62,68,79,81,85,99,
117],[1,2,3,5,6,12,14,17,23,27,29,30,34,36,38,49,55,65,69,81,96,100,118],[1,2,
3,4,5,6,8,10,11,13,14,16,17,18,19,23,26,28,32,34,35,37,41,43,45,48,49,50,52,
56,66,70,71,73,81,82,83,98,101,119],[1,3,4,5,10,18,19,20,21,22,23,43,46,48,53,
77,83,104,120],[1,3,4,5,8,18,19,20,21,22,23,45,46,50,53,77,82,105,121],[1,2,3,
4,6,7,8,9,10,11,12,13,14,15,16,17,18,19,24,25,26,27,28,29,30,31,32,33,34,35,
36,37,38,39,40,41,42,43,44,45,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,
70,71,72,73,74,75,76,85,86,87,88,89,90,91,92,93,94,95,96,97,98,107,108,109,
110,111,112,113,122],[1,2,4,6,7,9,11,12,15,16,20,25,26,27,33,42,44,46,54,58,
60,64,67,87,114,123],[1,2,4,5,6,7,8,9,10,11,12,13,15,16,25,26,27,33,40,41,42,
44,47,48,49,50,51,52,54,55,56,57,58,59,60,61,63,64,67,87,88,91,93,99,100,101,
102,107,124],[1,2,3,4,5,6,7,9,11,12,14,15,16,17,19,21,22,23,24,25,26,27,28,29,
30,31,32,33,34,35,36,39,42,44,47,49,51,53,54,58,60,62,64,65,67,68,70,72,75,78,
79,80,81,84,85,87,89,92,94,99,103,113,115,116,117,125],[1,2,4,6,7,9,11,12,15,
16,18,20,25,26,27,33,37,38,42,44,46,54,58,60,64,66,67,69,77,86,87,90,110,114,
123,126],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,23,24,25,26,27,28,
29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,54,55,56,
57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,79,81,82,83,85,86,
87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,107,108,109,110,111,112,
113,117,118,119,122,124,127],[1,2,4,5,6,7,8,9,10,11,12,13,15,16,20,21,25,26,
27,33,40,41,42,44,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,63,64,67,80,84,
87,88,91,93,99,100,101,102,104,105,106,107,114,116,123,124,128],[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]],
0,[[1],[1,1],[1,1],[1,1],[1,1],[1,3,1],[1,3,1],[1,3,1],[1,3,1],[1,3,1],[1,1,2,
1],[1,1,1],[1,3,1],[1,1,1],[1,1,1],[1,1,2,1],[1,1,2,1],[1,1,1],[1,2,1,1],[1,
1],[1,3,1,1],[1,1,1,1],[1,3,1,1],[1,3,4,1,6,1],[1,7,1,2,4,1],[1,3,4,1,2,4,1],[
1,3,1,2,1],[1,1,2,1,2,1],[1,1,1,2,1],[1,1,4,1,2,1],[1,3,1,2,1],[1,1,4,2,1,2,4,
1],[1,3,1,2,1],[1,3,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,2,1,1,1,1],[1,1,2,1,2,
1],[1,1,1,1],[1,3,2,1,1,1,1],[1,1,1,2,1],[1,1,6,1,1,1,2,2,1],[1,3,2,1,1,1,1],[
1,2,3,1,1,1,1],[1,3,2,1,1,1,1],[1,2,3,1,1,1,1],[1,5,1,1],[1,3,4,1,1],[1,3,4,1,
1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,4,3,1,3,1,1,1,1],[1,15,
5,10,20,15,1],[1,3,1,6,3,1],[1,3,12,1,4,4,6,8,12,3,12,1],[1,3,1,6,3,1],[1,7,1,
2,4,4,1,2,1],[1,3,4,1,2,4,4,1,2,1],[1,7,4,1,2,4,2,2,4,1,1,1,4,1],[1,3,1,2,4,1,
2,4,1],[1,7,4,1,2,4,2,6,1,1,1,2,2,1],[1,3,4,1,2,2,2,4,1,1,1,1],[1,7,1,2,4,2,2,
1,1,1,1],[1,3,4,1,2,2,2,1,1,1,2,2,1],[1,3,4,1,2,4,4,1,2,1],[1,7,4,1,2,4,2,2,4,
1,1,1,4,1],[1,7,1,2,4,4,1,2,1],[1,3,1,2,1,2,1],[1,3,4,4,1,2,2,4,2,4,1,1,1,2,2,
1],[1,1,4,6,1,1,1,2,2,2,2,4,1,1,1,2,2,1],[1,3,6,2,1,1,1,1,7,4,1,1,1,1,1,1,1,
1],[1,1,6,1,1,1,2,2,2,2,1,1,1,1],[1,1,4,1,2,2,1,1,1,1],[1,3,2,2,1,1,1,3,1,1,1,
1,1,1,1,1,1],[1,1,1,2,2,1,1,1,1],[1,5,5,1,1,1],[1,3,4,4,1,6,4,1,1,1],[1,3,6,4,
1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,6,3,4,1,3,3,
4,3,1,1],[1,6,3,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,15,4,5,10,20,6,6,
1,15,3,6,6,1,3,3,1],[1,7,4,1,2,4,2,2,4,8,1,1,1,4,4,1,2,1],[1,15,4,5,10,20,2,2,
4,4,15,1,1,2,4,8,1,1,1,2,2,1],[1,7,4,1,2,4,2,6,4,4,1,1,3,2,4,4,1,1,1,2,2,1],[
1,7,8,4,1,2,4,2,2,4,4,12,8,2,1,1,1,2,2,2,2,2,4,4,4,4,4,1,2,2,2,4,4,1],[1,7,4,
1,2,4,2,2,4,1,1,1,4,4,1,2,1],[1,7,12,1,2,4,4,4,6,2,8,4,12,1,3,1,2,12,4,8,1,1,
1,2,2,1],[1,7,4,1,2,4,2,2,8,4,1,1,1,4,4,1,2,1],[1,7,4,1,2,4,2,2,8,4,1,1,1,4,4,
4,1,1,1,1,1,1,1,1],[1,7,4,1,2,4,6,4,6,1,1,3,2,2,2,1,1,1,1],[1,3,4,4,1,2,2,4,4,
2,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,3,4,1,6,2,2,3,1,1,2,2,2,1,1,1,1],[1,3,4,1,2,2,
4,2,1,1,1,2,2,2,2,4,1,1,1,2,2,1],[1,3,4,12,1,4,4,6,8,2,12,2,4,4,3,1,1,2,2,2,
12,4,4,1,1,1,2,2,1],[1,15,16,5,10,20,15,4,8,8,1,1],[1,3,16,1,6,3,4,1,1],[1,3,
12,16,1,4,4,6,8,12,3,12,4,4,4,8,1,1],[1,3,16,1,6,3,4,1,1],[1,3,10,6,4,1,3,3,3,
9,12,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[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],[1,15,12,5,10,4,20,4,6,6,8,12,12,15,3,3,6,12,
12,12,24,1,1,1,2,3,3,3,3,6,6,6,3,3,3,6,1],[1,7,4,1,2,4,2,6,8,4,4,8,1,1,3,4,2,
4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,7,8,4,1,2,4,2,6,4,4,4,12,8,2,1,1,3,2,2,2,2,2,
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],[1,15,4,5,10,20,2,2,4,
4,8,15,1,1,2,4,4,4,8,1,1,1,2,2,2,2,1,1,1,1],[1,7,8,12,1,2,4,4,4,6,2,8,4,4,12,
12,8,8,2,1,3,1,2,2,2,2,2,2,4,4,4,4,4,12,4,8,8,8,1,1,1,2,2,2,2,2,2,4,4,4,4,1,1,
1,2,2,1],[1,7,12,1,2,4,4,4,6,2,8,8,4,12,1,3,1,4,2,4,12,4,8,1,1,1,2,2,2,2,1,1,
1,1],[1,15,8,4,5,10,20,2,2,12,4,4,12,8,2,15,1,1,2,2,2,6,2,2,12,4,4,12,4,8,1,1,
1,6,2,2,2,6,2,4,4,2,1,1,1,2,1],[1,15,5,10,20,16,15,1,1],[1,15,4,16,5,10,20,6,
6,16,1,15,3,6,6,4,8,8,1,3,3,4,1,1,1],[1,15,12,16,5,10,20,6,6,12,12,16,15,3,3,
6,12,24,4,8,8,1,3,3,6,6,4,8,3,1,1],[1,15,12,16,5,10,20,18,18,16,3,15,9,18,18,
4,8,8,1,9,9,4,8,3,1,1],[1,3,12,16,1,6,6,6,16,3,3,3,6,6,6,4,1,3,3,4,3,1,1],[1,
3,12,12,16,1,4,4,6,8,6,12,6,12,12,16,3,3,3,6,6,6,12,12,12,4,4,4,8,1,3,3,6,6,4,
4,4,3,1,1],[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],[1,15,8,12,5,10,4,20,4,6,6,8,12,12,12,12,8,8,
2,15,3,3,2,2,2,6,2,6,12,4,4,4,4,12,12,12,12,8,24,8,1,1,1,2,3,3,3,3,6,6,6,2,2,
6,6,2,2,4,4,4,4,4,4,2,1,3,3,1,1,3,1,6,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,15,20,5,
10,20,10,10,20,20,16,15,5,5,10,20,40,16,1,5,5,10,10,5,1,1],[1,15,12,64,5,10,4,
20,4,6,6,8,12,12,15,3,3,6,12,12,12,24,16,16,32,16,32,32,1,1,1,2,3,3,3,3,6,6,6,
3,3,3,6,4,4,4,8,1,1],[1,15,16,12,16,5,10,20,6,6,24,12,12,24,24,16,16,16,4,15,
3,3,6,6,6,12,6,6,24,12,12,24,12,24,4,8,8,16,1,3,3,12,6,6,6,12,6,12,12,4,4,4,8,
8,4,3,3,3,6,1,4,3,1,1,1,1],[1,15,20,5,10,20,10,10,20,20,40,16,15,5,5,10,20,20,
20,40,16,1,5,5,10,10,10,10,16,5,5,5,5,1,1,1],[1,15,24,12,64,5,10,4,20,4,6,6,8,
36,12,12,36,24,24,64,6,15,3,3,6,6,6,18,6,6,36,12,12,12,12,36,12,12,12,24,24,
24,16,16,32,16,32,32,1,1,1,2,3,3,3,3,18,6,6,6,6,6,18,6,6,12,12,12,12,12,12,16,
32,16,16,6,3,3,3,3,3,3,3,6,6,6,6,6,6,4,4,4,8,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,15,
60,160,5,10,20,20,20,30,30,40,60,60,96,160,15,15,15,30,60,60,60,120,96,40,80,
80,80,80,160,1,5,5,10,15,15,15,15,30,30,30,40,80,15,15,15,30,10,20,20,40,16,
16,32,5,6,10,6,5,1],[1,15,40,60,160,5,10,20,20,20,30,30,40,60,60,60,60,120,
120,96,160,160,160,10,15,15,15,30,30,30,30,30,30,60,60,60,60,60,60,60,60,60,
120,120,120,96,40,80,80,80,80,160,160,1,5,5,10,15,15,15,15,30,30,30,30,30,30,
30,30,30,60,60,60,60,60,60,96,40,40,40,80,80,80,80,10,15,15,15,15,15,15,15,30,
30,30,30,30,30,10,20,20,40,40,16,16,32,5,15,15,15,15,15,15,6,10,10,10,20,20,
16,16,15,6,5,10,6,5,1,1]],
[1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,5,6,6,6,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,10,12,12,12,12,12,12,12,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,20,24,24,24,24,24,24,24,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,48,48,48,48,48,60,60,60,64,64,64,64,64,64,64,80,96,96,96,96,
96,120,120,128,160,192,192,320,384,960,1920],
[129,122,103,98,53,127,125,119,116,119,111,109,101,89,93,91,89,71,71,77,53,53,
53,125,122,122,122,111,109,109,113,111,107,89,89,89,98,97,89,97,98,89,71,67,
71,77,103,83,81,82,84,52,53,129,127,127,124,122,122,122,122,113,107,107,109,
111,107,113,109,111,98,89,98,97,89,97,77,103,103,103,81,82,83,84,125,122,122,
122,122,122,122,122,107,113,111,109,109,111,125,118,119,102,103,120,121,106,
127,122,122,122,122,122,122,126,125,125,125,118,119,120,121,122,126,127,125,
126,127,129,129],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,5,1,5,1,1,1,1,1,2,2,1,1,1,2,2,1,1,1,
2,2,1,2,4,2,4,20,7,10,6,8,9,13,5,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,4,12,2,
12,20,7,47,47,49,50,48,51,7,6,6,6,2,6,6,6,6,7,11,12,12,11,54,55,56,57,47,104,
105,106,6,27,27,25,26,26,25,54,54,99,99,100,101,104,105,60,114,107,99,114,124,
128,128],
[( 1, 2,22,12,14)( 3, 7,11,13,21)( 5,17,10,16,20)( 6, 9,19, 8,15),( 1,21)
( 2,17)( 4,18)( 5,22)( 7,14)( 8,11)( 9,10)(15,16)],
[[[[]]],[[[1,1,2,1],[1,2,2,1,1,1],[3,1,4,1,3,1,4,1]]],[[[1,1,2,1],[1,2,3,2,2,
1,1,1]]],[[[1,2],[1,1,2,1],[2,1,4,1,3,1,4,1,3,1,4,-1]]],[[[2,1,1,1],[2,1,3,-1,
1,2,3,1,1,1,2,1]]],[[[1,1,2,1],[1,2,2,1,1,1],[3,1,4,1,3,1,4,1]],[[1,2],[1,1,2,
1],[3,1,2,1,4,1,1,-1,2,1,4,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,4,
-1]],[[1,1,2,1],[1,2,3,-1],[3,1,4,-1,3,1,4,-1]]],[[[1,2],[1,1,2,1],[4,1,3,1,4,
-1,2,1,4,1,3,1]],[[1,2],[2,1,1,-1,2,1,3,1,2,1,3,1,2,1,1,-1]]],[[[1,1,2,1],[2,
1,1,1],[3,1,4,-1,3,1,4,-1]],[[1,1,2,1],[1,2,2,1,1,1],[3,1,4,1,3,1,4,1]]],[[[1,
1,2,1],[2,1,1,1,3,1,1,2,3,-2]],[[1,2],[1,1,2,1],[3,1,2,1,3,1,4,-2,2,1]]],[[[1,
2],[2,1,3,1,2,1,1,-1,2,1,1,-1,2,1,3,1]],[[1,2],[1,1,2,1],[2,1,4,1,3,1,4,1,3,1,
4,-1]]],[[[1,1,2,1,1,2,2,1,1,1]]],[[[1,2],[1,1,2,1],[2,1,4,1,3,1,4,1,3,1,4,
-1]],[[1,2],[1,1,2,1],[4,2,3,-1,4,1,3,1,2,1,3,1]]],[[[1,2],[1,1,2,1],[4,2,3,
-1,2,1,3,1]]],[[[1,2],[1,1,2,1],[3,1,2,1,3,-1,4,-2,2,1]]],[[[1,1,2,1],[1,2,2,
1,1,1],[3,1,4,1,3,1,4,1]],[[1,2],[2,1,3,1,2,1,1,-1,2,1,1,-1,2,1,3,1]]],[[[1,1,
2,1],[1,2,3,2,2,1,1,1]],[[1,2],[3,1,2,1,1,1,2,1,1,-1,2,1,3,-1]]],[[[1,2],[1,1,
2,1],[3,1,2,1,3,1,4,-2]]],[[[1,1,2,1],[1,2,3,2,2,1,1,1]],[[1,2],[1,1,2,1],[4,
2,3,2,4,-1]]],[[[1,1,2,1],[2,1,1,1,3,2,1,-2,2,1]]],[[[1,2],[1,1,2,1],[4,1,3,1,
4,-1,2,1,4,1,3,1]],[[1,2],[1,1,2,1],[3,1,4,-1,2,1,4,1,3,-1,2,1]]],[[[1,1,2,1,
1,1,2,1,1,1]],[[1,1,2,1],[3,1,1,2],[4,2,3,-1]]],[[[1,1,2,1],[1,2,3,2,2,1,1,
1]],[[2,1,1,1],[1,2,3,2,2,1,1,-1]]],[[[1,1,2,1],[1,2,3,2,2,1,1,1]],[[1,2],[3,
1,2,1,1,1,2,1,1,-1,2,1,3,-1]],[[1,1,2,1],[2,1,3,-3,1,2,2,1,1,1]]],[[[1,1,2,
1],[2,1,1,1],[3,1,4,-1,3,1,4,-1]],[[1,1,2,1],[1,2,3,-1],[3,1,4,-1,3,1,4,
-1]],[[1,1,2,1],[1,2,2,1,1,1],[3,1,4,1,3,1,4,1]]],[[[1,1,2,1],[1,2,2,1,1,1],[
3,1,4,1,3,1,4,1]],[[1,2],[2,1,3,1,2,1,1,-1,2,1,1,-1,2,1,3,1]],[[1,2],[1,1,2,
1],[2,1,4,1,3,1,4,1,3,1,4,-1]]],[[[1,2],[3,1,2,1,1,1,2,1,3,1]],[[1,1,2,1],[1,
2,2,1,1,1],[3,1,4,1,3,1,4,1]]],[[[1,1,2,1],[3,1,1,2,3,-1,2,1,1,1]],[[1,1,2,
1],[2,1,1,1,3,1,1,2,3,-2]]],[[[1,2],[1,1,2,1],[3,1,4,-2,3,-1,2,1]],[[1,2],[1,
1,2,1],[4,2,3,-1,2,1,3,1]]],[[[1,2],[3,1,2,1,3,-1]],[[1,2],[3,1,2,1,1,1,2,1,3,
1]]],[[[1,2],[2,1,1,-1,2,1,3,1,2,1,3,1]],[[1,1,2,1],[1,2,2,1,1,1],[3,1,4,1,3,
1,4,1]]],[[[1,1,2,1],[1,2,3,2,2,1,1,1]],[[1,2],[3,1,2,1,1,1,2,1,1,-1,2,1,3,
-1]],[[1,2],[1,1,2,1],[4,2,3,2,4,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,1,-2,3,1,2,
1]],[[1,1,2,1],[1,2,2,1,1,1],[3,1,4,1,3,1,4,1]]],[[[1,1,2,1],[1,2,3,2,2,1,1,
1]],[[1,1,2,1],[1,2,2,1,1,1],[3,1,4,1,3,1,4,1]]],[[[2,1,1,2,2,1,1,-2,2,1]],[[
1,2],[1,1,2,1],[4,1,3,-1,2,1,4,1,3,1]]],[[[1,1,2,1],[3,2,1,-2]],[[1,1,2,1],[2,
1,3,1,1,-2,3,1]]],[[[2,1,1,1],[3,1,2,1,3,-1,1,2]],[[1,1,2,1],[1,2,2,1,1,1],[3,
1,4,1,3,1,4,1]]],[[[1,1,2,1,1,1]]],[[[1,1,2,1],[1,2,3,2,2,1,1,1]],[[1,1,2,1],[
1,2,3,-1],[3,1,4,-1,3,1,4,-1]]],[[[1,2],[3,1,2,1,1,1,2,1,3,1]],[[1,2],[1,1,2,
1],[3,1,2,1,3,-1,2,1,4,2]]],[[[1,1,2,1],[1,2,3,-1],[3,1,4,-1,3,1,4,-1]],[[1,
2],[1,1,2,1],[4,1,3,1,4,-1,2,1,4,1,3,1]],[[1,2],[2,1,1,-1,2,1,3,1,2,1,3,1,2,1,
1,-1]]],[[[1,1,2,1],[2,1,1,1,3,1,1,2,3,-2]],[[1,1,2,1],[1,2,2,1,1,1],[3,1,4,1,
3,1,4,1]]],[[[2,1,1,2,2,1,1,-1,2,1,1,1]],[[1,1,2,1],[1,2,3,2,2,1,1,1]]],[[[1,
1,2,1],[1,2,3,-1],[3,1,4,-1,3,1,4,-1]],[[1,1,2,1],[3,2,1,-2,2,1,1,1,3,1]]],[[[
1,1,2,1],[1,2,3,2,2,1,1,1]],[[1,2],[1,1,2,1],[2,1,4,1,3,1,4,1,3,1,4,-1]]],[[[
2,1,1,1],[1,2,3,1,2,1,3,-1,1,1,2,1]],[[1,2],[1,1,2,1],[2,1,4,1,3,1,4,1,3,1,4,
-1]]],[[[1,-2,2,1,1,-1,2,1]],[[1,1,2,1],[1,2,2,1,1,1],[3,1,4,1,3,1,4,1]]],[[[
1,2],[2,1,3,1,2,1,1,-1,2,1,1,-1,2,1,3,1]],[[1,2],[1,1,2,1],[4,2,3,1,2,1,3,1,4,
-1]]],[[[1,2],[3,1,2,1,3,1,2,1,1,-1]],[[1,1,2,1],[1,2,2,1,1,1],[3,1,4,1,3,1,4,
1]]],[[[1,1,2,1],[3,1,1,2,3,-1,2,1,1,1,3,1]],[[2,1,1,1],[2,1,3,-1,1,2,3,1,1,1,
2,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,4,-1]],[[1,1,2,1],[1,2,3,-1,2,1,3,
2]]],[[[1,2],[1,1,2,1],[3,1,4,2,3,-1,4,-1,2,1]],[[1,2],[2,1,3,1,2,1,1,-1,2,1,
1,-1,2,1,3,1]]],[[[2,1]],[[1,1,2,1,1,1,2,1,1,1]],[[1,1,2,1],[3,1,1,2],[4,2,3,
-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,4,-1]],[[1,1,2,1],[1,2,3,-1],[3,1,4,
-1,3,1,4,-1]],[[1,1,2,1],[1,2,2,1,1,1],[3,1,4,1,3,1,4,1]],[[1,1,2,1],[2,1,1,
-1,3,-1,1,2,3,-1,2,1,1,1]]],[[[1,1,2,1,1,2,2,1,1,1]],[[1,2],[3,1,2,1,1,1,2,1,
3,1]]],[[[1,1,2,1],[1,2,2,1,1,1],[3,1,4,1,3,1,4,1]],[[1,2],[2,1,3,1,2,1,1,-1,
2,1,1,-1,2,1,3,1]],[[1,1,2,1],[1,2,3,-1,2,1],[4,1,3,1,4,1,3,1]],[[1,2],[1,1,2,
1],[2,1,4,1,3,1,4,1,3,1,4,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,1,-2,3,1,2,1]],[[1,
1,2,1],[3,2,1,-2,2,1,1,1,3,1]]],[[[1,1,2,1],[3,1,1,-2,3,-1,2,1,3,1]],[[1,2],[
1,1,2,1],[3,1,2,1,3,-1,4,-2,2,1]]],[[[1,1,2,1],[3,1,1,-2,3,-1,2,1,3,1]],[[1,1,
2,1],[3,2,1,-2,2,1,1,1,3,1]]],[[[1,2],[3,1,2,1,1,1,2,1,3,1]],[[1,1,2,1],[1,2,
3,-1],[3,1,4,-1,3,1,4,-1]],[[1,1,2,1],[1,2,2,1,1,1],[3,1,4,1,3,1,4,1]]],[[[1,
1,2,1],[3,1,1,-2,3,-1,2,1,3,1]],[[2,1,1,1],[1,1,2,1,3,-1,1,-2,3,1,2,1]],[[1,1,
2,1],[1,2,2,1,1,1],[3,1,4,1,3,1,4,1]]],[[[1,1,2,1],[1,2,3,2,2,1,1,1]],[[1,1,2,
1],[1,2,3,-1],[3,1,4,-1,3,1,4,-1]],[[1,1,2,1],[2,1,3,-3,1,2,2,1,1,1]]],[[[1,1,
2,1,1,2,2,1,1,1]],[[1,2],[1,1,2,1],[3,1,2,1,3,-1,2,1,4,2]]],[[[1,2],[3,1,2,1,
1,1,2,1,3,1]],[[1,1,2,1],[3,2,1,2,3,-1,1,-1,2,1]]],[[[1,2],[3,1,2,1,3,-1]],[[
1,2],[3,1,2,1,1,1,2,1,3,1]],[[1,1,2,1],[1,2,2,1,1,1],[3,1,4,1,3,1,4,1]]],[[[2,
1,1,2,2,1,1,-1,2,1,1,1]],[[1,1,2,1],[1,2,2,1,1,1],[3,1,4,1,3,1,4,1]]],[[[1,1,
2,1],[3,1,1,-2,3,-1,2,1,3,1]],[[1,1,2,1],[1,2,3,-1],[3,1,4,-1,3,1,4,-1]],[[1,
1,2,1],[1,2,2,1,1,1],[3,1,4,1,3,1,4,1]]],[[[1,2],[1,1,2,1],[3,1,4,-2,3,-1,2,
1]],[[1,1,2,1],[1,2,2,1,1,1],[3,1,4,1,3,1,4,1]]],[[[2,1,1,-1,2,1,1,-1,2,1]],[[
1,1,2,1],[1,2,2,1,1,1],[3,1,4,1,3,1,4,1]]],[[[1,1,2,1],[1,2,3,2,2,1,1,1]],[[1,
2],[1,1,2,1],[4,2,3,2,4,-1]],[[1,1,2,1],[1,2,2,1,1,1],[3,1,4,1,3,1,4,1]]],[[[
2,1,1,2,2,1,1,-1,2,1,1,1]],[[1,1,2,1],[1,2,3,2,2,1,1,1]],[[1,2],[3,1,2,1,1,1,
2,1,1,-1,2,1,3,-1]]],[[[1,1,2,1],[1,2,3,2,2,1,1,1]],[[1,2],[1,1,2,1],[4,2,3,2,
4,-1]],[[1,1,2,1],[2,1,3,-3,1,2,2,1,1,1]]],[[[2,1,1,1],[3,1,2,1,3,-1,1,2]],[[
1,2],[1,1,2,1],[4,1,3,-1,2,1,4,1,3,1]]],[[[2,1,1,-1,2,1,1,-1,2,1]],[[1,2],[3,
1,2,1,3,-1]]],[[[1,1,2,1],[3,1,1,-2,2,1,3,2]],[[1,1,2,1],[1,2,3,-1],[3,1,4,-1,
3,1,4,-1]],[[1,1,2,1],[2,1,1,-1,2,1,3,1,1,-2,3,-1,2,1]]],[[[2,1,1,1,2,1,1,2,2,
1,1,1]],[[1,1,2,1],[3,1,1,-2,3,-1,2,1,3,1]]],[[[1,1,2,1],[1,-2,3,-1,2,1,1,1,3,
-1]],[[1,2],[1,1,2,1],[3,1,2,1,3,1,4,-2]]],[[[1,1,2,1,1,2,2,1]],[[1,2],[3,1,2,
1,1,1,2,1,1,-1,2,1,3,-1]]],[[[1,-1,2,1,1,1]],[[1,-2,2,1,1,-1,2,1]],[[1,1,2,
1],[1,2,2,1,1,1],[3,1,4,1,3,1,4,1]]],[[[1,-2,2,1,1,-1,2,1]],[[1,1,2,1],[3,2,1,
-2,2,1,3,1]]],[[[1,2],[3,1,2,1,3,1,2,1,1,-1]],[[1,1,2,1],[1,2,3,2,2,1,1,
1]]],[[[2,1,1,1],[1,2,3,2,2,1,1,-1]],[[1,1,2,1],[3,1,1,2,3,-1,2,1,1,1,3,
1]]],[[[2,1,1,2,2,1,1,-1,2,1,1,1]],[[1,1,2,1],[3,1,1,2],[4,2,3,-1]]],[[[1,1,2,
1],[1,2,3,-1,2,1,3,2]],[[1,2],[1,1,2,1],[4,1,3,-1,2,1,3,1,2,1,4,1]]],[[[1,1,2,
1],[1,2,3,2,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,4,-1]],[[1,1,2,1],[1,
2,3,-1],[3,1,4,-1,3,1,4,-1]]],[[[1,1,2,1,1,-1,2,1,1,2,2,1]],[[1,2],[3,1,2,1,1,
1,2,1,3,1]]],[[[1,2],[3,1,2,1,1,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,
1,4,-1]],[[1,1,2,1],[3,2,1,2,3,-1,1,-1,2,1]]],[[[1,1,2,1,1,2,2,1,1,1]],[[1,
2],[3,1,2,1,1,1,2,1,3,1]],[[1,1,2,1],[1,2,3,-1],[3,1,4,-1,3,1,4,-1]]],[[[1,
2],[3,1,2,1,3,-1]],[[1,2],[3,1,2,1,1,1,2,1,3,1]],[[1,1,2,1],[1,2,3,-1],[3,1,4,
-1,3,1,4,-1]],[[1,1,2,1],[2,1,3,-3,1,2,2,1,1,1]]],[[[2,1,1,-1,2,1,1,-1,2,
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1]],[[1,2],[3,1,2,1,3,-1]],[[1,1,2,1],[1,2,2,1,1,1],[3,1,4,1,3,1,4,1]]],[[[2,
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1],[3,1,4,1,3,1,4,1]]],[[[1,2],[2,1,1,1,3,1,2,1,3,1]],[[1,2],[3,1,2,1,3,1,2,1,
1,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,4,-1]]],[[[1,2,2,1,1,-1,2,1,1,1]],[[
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1,2],[2,1,1,1,2,1],[3,1,4,-1,3,1,4,1]]],[[[1,2],[1,1,2,1,3,-1,2,1,3,-1]],[[1,
1,2,1],[2,1,1,-1,2,1,3,2,1,2]]],[[[2,1,1,-1,2,1,1,1,2,1]],[[1,1,2,1,1,2,2,
1]],[[1,2],[3,1,2,1,1,1,2,1,1,-1,2,1,3,-1]]],[[[2,1,1,-1,2,1,1,-2]],[[2,1,1,1,
2,1],[3,1,1,-2,3,-1]]],[[[2,1,1,-1,2,1,1,2]],[[2,1,1,-2,2,1,1,1]]],[[[1,1,2,1,
1,1,2,1,1,1]],[[1,2],[3,1,2,1,3,1,2,1,3,-1]]],[[[1,1,2,1,1,2,2,1,1,1]],[[1,
2],[3,1,2,1,1,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,4,-1]],[[1,1,2,
1],[3,2,1,2,3,-1,1,-1,2,1]]],[[[1,1,2,1,1,2,2,1,1,1]],[[1,1,2,1,1,-1,2,1,1,2,
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1]]],[[[2,1,1,-1,2,1,1,-1,2,1]],[[2,1,1,-2,2,1,1,1,2,1,1,-1]]],[[[1,2],[3,1,2,
1,3,-1]],[[2,1,1,-2,2,1,1,1,2,1,1,-1]],[[2,1,1,2,2,1,1,-1,2,1,1,1]]],[[[1,1,2,
1,1,1]],[[1,2],[2,1,1,1,2,1,3,-1,2,1,3,-1]]],[[[1,2],[3,1,2,1,3,-1]],[[1,2],[
3,1,2,1,1,1,2,1,3,1]],[[1,1,2,1],[3,1,1,-2,3,-1,1,-1,2,1]]],[[[1,1,2,1,1,-2,2,
1]],[[2,1,1,1],[1,2,3,2]]],[[[2,1,1,-2,2,1,1,-1]],[[2,1,1,1],[3,1,1,1,2,1,3,
-1]]],[[[2,1,1,-1,2,1,1,1]],[[1,2],[3,1,2,1,3,1,2,1,1,-1]]],[[[2,1]],[[1,2],[
1,1,2,1,3,-1,2,1,3,-1]],[[1,2],[2,1,1,1,3,1,2,1,3,1]]],[[[1,1,2,1,1,1]],[[1,
2],[3,1,2,1,3,-1]]],[[[1,2],[3,1,2,1,3,1,2,1,1,-1]],[[2,1,1,1],[3,1,2,1,3,-1,
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1,2]]],[[[1,1,2,1],[2,1,3,2]],[[1,2],[3,1,2,1,3,-1]],[[2,1,1,2,2,1,1,-1,2,1,1,
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1,2,1,1,1]],[[2,1,1,2,2,1,1,-2]]],[[[2,1,1,-1,2,1,1,1,2,1]],[[2,1,1,1],[3,2,2,
1,1,-1]]],[[[1,2,2,1]],[[1,1,2,1,1,1]]],[[[2,1]],[[1,1,2,1,1,1]],[[1,2],[3,1,
2,1,3,-1]]],[[[1,1]],[[2,1,1,1,2,1]]],[[[1,1]],[[2,1]]]]);


LIBTOM( "2^4:S6",
[[1],[1,2],[1,3],[1,4],[1,5],[1,6],[1,7],[1,8],[1,2,9],[1,2,3,10],[1,2,11],[1,
2,5,12],[1,6,13],[1,2,14],[1,6,15],[1,2,16],[1,2,6,17],[1,2,4,18],[1,2,19],[1,
6,20],[1,6,21],[1,3,6,22],[1,3,4,6,23],[1,2,3,5,24],[1,2,5,25],[1,2,6,26],[1,
2,27],[1,3,4,6,28],[1,5,6,29],[1,6,30],[1,6,31],[1,4,6,32],[1,4,5,6,33],[1,3,
5,6,34],[1,35],[1,3,7,36],[1,2,7,37],[1,5,7,38],[1,4,8,39],[1,6,7,40],[1,3,7,
41],[1,6,8,42],[1,4,8,43],[1,2,9,11,44],[1,2,4,9,18,45],[1,2,6,17,20,46],[1,2,
16,47],[1,2,6,9,17,26,48],[1,2,9,19,49],[1,2,5,9,12,25,50],[1,2,9,16,51],[1,2,
3,5,9,10,12,24,52],[1,3,4,6,15,22,28,53],[1,3,4,6,13,22,23,54],[1,2,3,10,11,
14,55],[1,2,4,16,18,56],[1,2,9,27,57],[1,2,3,4,6,10,17,18,23,28,58],[1,2,6,16,
17,59],[1,2,6,16,17,60],[1,2,6,17,19,61],[1,2,9,14,62],[1,2,16,19,63],[1,2,5,
12,16,19,64],[1,2,4,6,17,18,32,65],[1,2,4,5,6,12,17,18,33,66],[1,2,3,10,16,19,
67],[1,2,3,5,11,24,25,68],[1,3,4,6,20,23,32,69],[1,4,5,6,21,29,33,70],[1,3,4,
6,20,28,32,71],[1,2,3,5,6,10,22,24,26,34,72],[1,2,5,6,12,17,19,73],[1,2,6,9,
16,17,74],[1,2,6,13,15,17,21,26,75],[1,2,4,9,18,19,76],[1,2,3,5,6,17,22,24,29,
34,77],[1,2,6,17,31,78],[1,2,6,17,30,79],[1,2,4,16,18,19,80],[1,2,16,27,81],[
1,2,3,5,6,12,24,26,29,34,82],[1,2,4,5,12,16,18,83],[1,3,4,5,6,13,28,29,33,34,
84],[1,2,4,6,17,18,19,85],[1,3,4,5,6,15,23,29,33,34,86],[1,2,5,12,25,27,87],[
1,2,16,88],[1,2,5,11,12,14,89],[1,2,16,90],[1,2,3,5,10,25,27,91],[1,2,5,16,25,
92],[1,3,6,20,22,30,93],[1,6,13,20,31,94],[1,5,6,20,29,30,95],[1,2,5,19,25,27,
96],[1,6,15,20,31,97],[1,4,6,15,30,32,98],[1,3,4,6,22,31,32,99],[1,2,6,11,26,
27,100],[1,3,4,6,28,30,31,101],[1,3,4,6,23,30,31,102],[1,4,5,6,29,31,32,103],[
1,4,6,13,30,32,104],[1,3,4,5,6,21,22,23,28,33,34,105],[1,2,3,4,5,6,18,23,24,
26,28,33,106],[1,2,3,5,14,24,27,107],[1,2,5,6,14,25,26,108],[1,7,8,109],[1,6,
35,110],[1,2,7,11,111],[1,2,7,11,37,112],[1,6,7,20,113],[1,2,8,11,114],[1,6,8,
15,115],[1,6,8,13,116],[1,2,8,9,117],[1,2,6,7,26,37,40,118],[1,2,5,7,25,37,38,
119],[1,2,7,14,37,120],[1,2,3,5,7,24,36,37,38,121],[1,2,7,27,37,122],[1,2,3,7,
10,37,41,123],[1,6,8,21,124],[1,3,6,7,22,36,40,41,125],[1,3,5,6,7,34,38,40,41,
126],[1,4,6,8,32,39,42,43,127],[1,2,9,11,44,128],[1,2,9,16,51,129],[1,2,6,9,
13,15,17,21,26,48,75,130],[1,2,3,5,9,10,11,12,24,25,44,50,52,68,131],[1,2,9,
11,14,44,62,132],[1,2,3,10,16,19,47,63,67,133],[1,2,3,4,6,10,17,18,20,23,28,
32,46,58,65,69,71,134],[1,2,9,27,57,135],[1,2,9,11,19,44,49,136],[1,2,9,16,27,
51,57,81,137],[1,2,9,11,27,44,57,138],[1,2,6,9,17,26,27,48,57,139],[1,2,5,6,9,
12,17,19,25,26,48,49,50,73,140],[1,2,9,14,16,51,62,141],[1,2,4,9,11,18,19,44,
45,49,76,142],[1,2,6,9,14,17,26,48,62,143],[1,2,6,9,11,16,17,26,44,48,51,74,
144],[1,2,3,5,9,10,12,16,19,24,49,51,52,64,67,145],[1,2,4,5,9,12,16,18,25,45,
50,51,83,146],[1,2,5,9,12,16,25,50,51,92,147],[1,2,3,5,6,9,10,12,17,22,24,26,
29,34,48,52,72,77,82,148],[1,2,3,4,5,6,9,10,12,17,18,23,24,26,28,33,45,48,52,
58,66,106,149],[1,2,4,5,6,12,17,18,19,20,33,46,61,66,73,85,150],[1,2,4,5,6,12,
16,17,18,32,33,56,59,65,66,83,151],[1,2,5,9,11,12,14,25,44,50,62,89,152],[1,2,
4,5,12,16,18,19,47,56,64,80,83,153],[1,2,9,16,51,90,154],[1,2,6,9,16,17,20,26,
46,48,59,60,74,155],[1,2,6,9,17,26,30,48,79,156],[1,2,6,9,11,17,26,27,44,48,
57,100,157],[1,2,3,5,9,10,12,14,16,24,51,52,62,158],[1,2,4,9,16,18,19,51,56,
63,76,80,159],[1,2,5,9,12,19,25,27,49,50,57,96,160],[1,2,6,9,14,17,19,26,48,
49,62,161],[1,2,6,9,17,26,31,48,78,162],[1,2,9,14,27,57,62,163],[1,2,4,9,14,
18,27,45,57,62,164],[1,2,6,9,16,17,47,51,59,60,74,165],[1,2,3,5,9,10,11,12,14,
24,44,52,55,62,89,166],[1,2,5,6,12,16,17,19,60,61,63,64,73,167],[1,2,3,5,9,10,
12,24,25,27,50,52,57,87,91,168],[1,2,9,16,51,88,169],[1,2,9,14,19,27,49,57,62,
170],[1,2,6,9,16,17,26,27,48,51,57,171],[1,2,3,4,6,10,16,17,18,19,23,28,56,58,
60,67,85,172],[1,2,4,6,9,17,18,19,26,32,48,61,65,76,85,173],[1,2,5,6,9,12,14,
17,25,26,48,50,62,108,174],[1,2,3,5,9,10,12,19,24,27,49,52,57,175],[1,2,5,9,
12,14,25,27,50,57,62,176],[1,2,3,5,9,10,12,14,24,27,52,57,62,107,177],[1,2,9,
14,16,19,49,51,62,178],[1,2,9,11,16,27,44,51,57,179],[1,2,3,4,6,10,16,17,18,
19,23,28,58,59,61,67,80,180],[1,2,4,5,16,18,25,56,88,92,181],[1,2,6,13,15,17,
19,21,26,30,61,75,79,182],[1,2,3,5,6,17,20,22,24,29,30,34,46,77,79,93,95,
183],[1,2,6,13,15,17,20,21,26,31,46,75,78,94,97,184],[1,2,3,4,5,6,12,13,15,17,
18,21,22,23,24,26,28,29,33,34,66,70,75,77,82,84,86,105,106,185],[1,2,3,5,6,16,
17,22,24,29,30,34,59,77,79,186],[1,2,6,16,17,27,60,81,88,187],[1,2,4,5,6,12,
17,18,30,31,33,66,78,79,188],[1,2,3,4,5,6,10,13,15,17,18,21,22,23,24,26,28,29,
33,34,53,54,58,72,75,77,84,86,105,106,189],[1,2,3,4,6,10,17,18,23,28,30,31,58,
78,79,101,102,190],[1,2,4,16,18,27,56,81,90,191],[1,2,6,13,15,16,17,21,26,31,
59,75,78,192],[1,2,4,5,6,12,16,17,18,19,32,33,60,65,66,73,80,83,85,193],[1,2,
3,4,5,6,9,10,12,16,17,18,19,23,24,28,52,58,67,73,74,76,83,194],[1,2,3,4,5,6,
17,18,22,24,29,31,32,34,65,77,78,99,103,195],[1,2,3,5,6,17,19,22,24,29,31,34,
61,77,78,196],[1,2,4,5,6,12,16,17,18,19,59,63,64,73,80,83,85,197],[1,2,4,6,9,
16,17,18,19,32,45,56,65,74,76,80,85,198],[1,2,4,6,13,15,17,18,21,26,30,32,65,
75,79,98,104,199],[1,2,4,5,6,9,12,16,17,18,19,25,33,50,64,66,73,74,76,83,
200],[1,2,3,10,16,19,67,88,90,201],[1,2,4,6,9,16,17,18,19,49,61,63,74,76,80,
85,202],[1,2,5,16,19,25,63,88,92,203],[1,2,3,5,10,16,19,25,27,67,81,91,92,96,
204],[1,2,16,27,47,81,88,205],[1,2,5,16,25,47,90,92,206],[1,2,5,6,16,17,25,60,
90,92,207],[1,2,16,19,27,63,81,90,208],[1,2,5,12,16,19,25,27,64,81,87,92,96,
209],[1,2,5,12,16,19,64,88,90,210],[1,3,4,6,13,20,22,23,30,31,32,54,69,93,94,
99,102,104,211],[1,2,3,5,6,10,11,14,22,24,25,26,27,34,55,68,72,91,100,107,108,
212],[1,3,4,6,15,20,22,28,30,31,32,53,71,93,97,98,99,101,213],[1,3,4,5,6,15,
20,23,29,30,31,32,33,34,69,86,95,97,98,102,103,214],[1,3,4,5,6,13,20,28,29,30,
31,32,33,34,71,84,94,95,101,103,104,215],[1,2,3,5,6,11,12,14,24,25,26,27,29,
34,68,82,87,89,100,107,108,216],[1,6,7,8,40,42,109,217],[1,4,7,8,39,43,109,
218],[1,3,7,8,36,41,109,219],[1,6,30,35,110,220],[1,2,3,7,10,11,14,36,55,111,
221],[1,2,5,7,11,12,14,38,89,111,222],[1,2,7,9,11,37,44,111,223],[1,2,3,5,7,
11,24,25,36,37,38,68,112,119,121,224],[1,3,4,6,7,20,23,32,41,69,113,225],[1,3,
4,6,7,20,28,32,41,71,113,226],[1,6,7,15,20,31,40,97,113,227],[1,2,6,7,11,26,
27,40,100,111,228],[1,2,6,7,17,20,37,46,113,229],[1,6,7,13,20,31,40,94,113,
230],[1,3,6,7,20,22,30,36,93,113,231],[1,2,3,5,7,11,24,25,41,68,111,232],[1,2,
7,16,37,47,233],[1,5,6,7,20,29,30,38,95,113,234],[1,3,4,6,8,13,22,23,43,54,
116,235],[1,6,8,13,20,31,42,94,116,236],[1,2,4,8,9,18,43,45,117,237],[1,4,6,8,
15,30,32,39,98,115,238],[1,2,3,5,6,7,10,22,24,26,34,36,37,38,40,41,72,118,121,
123,125,126,239],[1,4,6,8,13,30,32,39,104,116,240],[1,6,8,15,20,31,42,97,115,
241],[1,2,6,8,9,16,17,42,74,117,242],[1,2,3,5,7,14,24,27,36,37,38,107,120,121,
122,243],[1,2,3,7,10,11,14,37,41,55,112,120,123,244],[1,3,4,6,8,15,22,28,43,
53,115,245],[1,2,4,8,9,18,19,39,76,117,246],[1,2,6,7,11,26,27,37,40,100,112,
118,122,247],[1,2,3,5,7,10,25,27,37,38,41,91,119,122,123,248],[1,2,5,6,7,14,
25,26,37,38,40,108,118,119,120,249],[1,4,5,6,8,21,29,33,43,70,124,250],[1,2,6,
8,11,26,27,42,100,114,251],[1,2,4,5,9,12,16,18,25,45,50,51,83,92,129,146,147,
252],[1,2,6,9,11,16,17,20,26,44,46,47,48,51,59,60,74,144,155,165,253],[1,2,3,
5,9,10,11,12,14,24,25,44,50,52,55,62,68,89,128,131,132,152,166,254],[1,2,4,9,
11,18,19,44,45,49,76,128,136,142,255],[1,2,3,4,5,6,9,10,12,13,15,17,18,21,22,
23,24,26,28,29,33,34,45,48,52,53,54,58,66,70,72,75,77,82,84,86,105,106,130,
148,149,185,189,256],[1,2,4,9,14,18,27,45,57,62,135,163,164,257],[1,2,6,9,11,
16,17,26,27,44,48,51,57,74,100,128,138,144,157,179,258],[1,2,6,9,11,16,17,19,
26,44,48,49,51,74,136,144,259],[1,2,6,9,11,16,17,26,31,44,48,51,74,78,144,162,
260],[1,2,3,4,5,6,9,10,12,14,17,18,23,24,26,27,28,33,45,48,52,57,58,62,66,106,
107,139,143,149,164,177,261],[1,2,3,5,9,10,12,16,19,24,25,27,49,50,51,52,57,
64,67,81,87,91,92,96,137,145,147,160,168,204,209,262],[1,2,3,5,6,9,10,12,17,
19,22,24,25,26,27,29,34,48,49,50,52,57,72,73,77,82,87,91,139,140,148,168,175,
263],[1,2,4,6,9,11,16,17,18,19,26,32,44,45,48,49,51,56,61,63,65,74,76,80,85,
142,144,159,173,198,202,264],[1,2,6,9,11,14,16,17,19,26,44,48,49,51,62,74,132,
136,144,161,178,265],[1,2,6,9,11,16,17,26,44,48,51,74,88,144,169,266],[1,2,6,
9,11,16,17,26,44,48,51,74,90,144,154,267],[1,2,5,6,9,12,13,14,15,17,19,21,25,
26,48,49,50,62,73,75,108,130,140,143,161,174,268],[1,2,6,9,11,16,17,26,30,44,
48,51,74,79,144,156,269],[1,2,3,5,9,10,12,14,16,19,24,49,51,52,62,64,67,129,
141,145,158,178,270],[1,2,3,5,6,9,10,11,12,14,16,17,22,24,26,29,34,44,48,51,
52,55,62,72,74,77,82,89,143,144,148,158,166,271],[1,2,4,9,11,14,18,19,27,44,
45,49,57,62,76,132,138,142,164,170,272],[1,2,5,6,9,11,12,14,16,17,25,26,44,48,
50,51,62,74,89,92,108,141,144,147,152,174,273],[1,2,4,5,9,12,14,16,18,25,27,
45,50,51,57,62,81,83,137,141,146,164,176,274],[1,2,6,9,11,16,17,26,27,44,48,
51,57,74,81,129,137,144,171,179,275],[1,2,3,4,5,6,9,10,11,12,16,17,18,19,23,
24,25,26,28,33,44,45,48,49,50,51,52,58,64,66,67,68,73,74,76,83,106,131,140,
142,144,145,146,149,194,200,276],[1,2,3,5,9,10,11,12,19,24,25,27,44,49,50,52,
57,68,96,131,136,138,160,175,277],[1,2,6,9,11,13,15,16,17,21,26,27,44,48,51,
57,74,75,100,130,139,144,157,171,278],[1,2,6,9,11,16,17,26,27,44,48,51,57,74,
138,144,279],[1,2,4,6,9,14,17,18,19,26,31,32,48,61,62,65,76,78,85,143,162,173,
280],[1,2,6,9,16,17,47,51,59,60,74,88,129,165,169,281],[1,2,5,6,9,11,12,14,17,
25,26,27,44,48,50,57,62,89,100,108,132,143,152,157,163,174,176,282],[1,2,4,5,
6,9,12,16,17,18,19,20,25,26,32,33,46,48,49,50,59,60,61,63,64,65,66,73,74,76,
80,83,85,140,150,155,167,173,193,197,200,202,283],[1,2,3,4,5,6,9,10,12,16,17,
18,19,20,23,24,26,28,32,33,45,46,48,52,56,58,59,60,61,65,66,67,69,71,73,74,76,
80,83,85,106,134,149,150,151,155,172,173,180,193,194,198,284],[1,2,6,9,11,16,
17,26,27,44,48,51,57,81,100,135,137,138,139,157,171,179,285],[1,2,3,5,9,10,12,
16,19,24,49,51,52,64,67,88,90,145,154,169,201,210,286],[1,2,3,4,5,6,9,10,12,
16,17,18,19,23,24,28,47,49,51,52,56,58,59,60,61,63,64,67,73,74,76,80,83,85,
133,145,153,159,165,167,172,180,194,197,202,287],[1,2,5,6,9,12,16,17,25,47,50,
51,59,60,74,90,92,147,154,165,206,207,288],[1,2,6,9,16,17,27,47,51,57,59,60,
74,81,88,137,165,169,187,205,289],[1,2,3,5,6,9,10,11,12,14,17,22,24,25,26,27,
29,34,44,48,50,52,55,57,62,68,72,77,82,87,89,91,100,107,108,131,148,157,166,
168,174,177,212,216,290],[1,2,4,6,9,13,15,17,18,19,21,26,30,32,48,61,65,75,76,
79,85,98,104,130,156,173,182,199,291],[1,2,5,6,9,11,12,14,17,19,25,26,27,44,
48,49,50,57,62,73,89,96,100,136,140,152,157,160,161,170,292],[1,2,5,6,9,12,17,
19,25,26,30,31,48,49,50,73,78,79,140,156,162,293],[1,2,3,4,5,6,9,10,12,17,18,
19,22,24,26,29,31,32,34,48,52,61,65,72,76,77,78,82,85,99,103,148,162,173,195,
196,294],[1,2,3,5,6,9,10,12,14,16,17,19,22,24,26,27,29,34,48,49,51,52,57,62,
64,67,72,77,82,107,145,148,158,161,171,175,177,295],[1,2,3,5,6,9,10,12,16,17,
20,22,24,26,29,30,34,46,48,52,59,60,72,74,77,79,82,93,95,148,155,156,183,186,
296],[1,2,6,9,14,16,17,20,26,30,46,48,59,60,62,74,79,143,155,156,297],[1,2,3,
5,9,10,12,14,19,24,25,27,49,50,52,57,62,87,91,96,107,135,160,168,170,175,176,
177,298],[1,2,4,9,16,18,19,27,51,56,57,63,76,80,81,90,137,154,159,191,208,
299],[1,2,3,5,9,10,12,14,16,19,24,27,49,51,52,57,62,81,107,137,158,163,170,
175,177,178,300],[1,2,4,5,6,9,12,16,17,18,19,25,32,33,45,47,50,51,56,59,60,63,
64,65,66,73,74,76,80,83,85,146,151,153,159,165,193,197,198,200,301],[1,2,6,9,
13,15,16,17,20,21,26,31,46,48,59,60,74,75,78,94,97,130,155,162,184,192,302],[
1,2,6,9,14,16,17,19,26,27,48,49,51,57,62,141,143,161,163,170,171,178,303],[1,
2,4,9,14,16,18,19,51,56,62,63,76,80,88,141,159,169,304],[1,2,4,9,16,18,19,51,
56,63,76,80,90,129,154,159,305],[1,2,3,4,5,6,9,10,11,12,14,17,18,19,23,24,26,
27,28,33,44,45,48,49,52,55,57,58,62,66,76,89,100,106,142,149,157,161,164,166,
175,306],[1,2,3,5,9,10,11,12,14,16,24,25,27,44,50,51,52,57,62,68,87,89,91,92,
131,147,152,158,168,176,179,307],[1,2,3,4,5,6,9,10,12,17,18,23,24,26,28,30,31,
33,45,48,52,58,66,78,79,101,102,106,149,156,162,188,190,308],[1,2,6,9,16,17,
20,26,27,31,46,48,57,59,60,74,78,139,155,162,309],[1,2,5,6,9,12,14,16,17,19,
25,26,27,48,49,50,51,57,62,73,92,96,108,140,147,160,171,174,176,178,310],[1,2,
4,5,9,12,16,18,19,25,50,51,56,63,76,80,88,92,147,159,169,181,203,311],[1,2,3,
5,9,10,11,12,14,16,24,27,44,51,52,55,57,62,89,107,132,141,158,163,166,177,179,
312],[1,2,4,6,9,17,18,19,26,27,30,32,48,57,61,65,76,79,85,139,156,173,313],[1,
2,3,5,9,10,11,12,14,16,19,24,27,44,49,51,52,55,57,62,64,67,89,136,145,166,170,
175,178,179,314],[1,2,5,6,9,12,14,17,19,25,26,27,48,49,50,57,62,96,108,139,
160,161,163,170,174,176,315],[1,2,4,9,11,18,19,27,44,45,49,57,76,136,138,142,
316],[1,2,3,5,9,10,11,12,14,24,25,27,44,50,52,55,57,62,87,89,91,107,138,152,
163,166,168,176,177,317],[1,2,3,4,5,6,9,10,12,14,16,17,18,23,24,25,26,27,28,
33,45,48,50,51,52,57,58,62,66,83,87,91,106,108,146,149,158,164,168,171,174,
318],[1,2,4,5,9,11,12,14,16,18,19,25,27,44,45,49,50,51,57,62,76,83,89,96,142,
146,152,160,164,178,179,319],[1,2,4,5,9,12,16,18,25,45,50,51,83,88,90,146,154,
169,320],[1,2,6,9,14,16,17,47,51,59,60,62,74,90,141,154,165,321],[1,2,3,5,10,
16,19,25,27,47,63,67,81,88,90,91,92,96,133,201,203,204,205,206,208,322],[1,2,
3,4,5,6,10,13,15,17,18,20,21,22,23,24,26,28,29,30,31,32,33,34,46,53,54,58,65,
69,71,72,75,77,78,79,84,86,93,94,95,97,98,99,101,102,103,104,105,106,134,183,
184,189,190,195,199,211,213,214,215,323],[1,2,3,4,5,6,12,13,15,16,17,18,21,22,
23,24,26,28,29,30,31,32,33,34,56,59,65,66,70,75,77,78,79,82,83,84,86,98,99,
103,104,105,106,151,185,186,188,192,195,199,324],[1,2,5,6,12,16,17,19,25,27,
60,61,63,64,73,81,87,88,90,92,96,167,187,203,207,208,209,210,325],[1,2,3,4,5,
6,10,13,15,16,17,18,19,21,22,23,24,26,28,29,30,31,33,34,53,54,58,59,61,67,72,
75,77,78,79,80,84,86,101,102,105,106,180,182,186,189,190,192,196,326],[1,2,3,
4,5,6,10,16,17,18,19,23,25,27,28,56,58,60,67,81,85,88,90,91,92,96,172,181,187,
191,201,204,207,327],[1,2,3,4,5,6,12,13,15,17,18,19,20,21,22,23,24,26,28,29,
30,31,33,34,46,61,66,70,73,75,77,78,79,82,84,85,86,93,94,95,97,105,106,150,
182,183,184,185,188,196,328],[1,2,4,5,12,16,18,19,25,27,47,56,64,80,81,83,87,
88,90,92,96,153,181,191,205,206,209,210,329],[1,2,7,8,11,37,109,111,112,114,
330],[1,6,7,8,31,40,42,109,217,331],[1,4,6,7,8,32,39,40,42,43,109,127,217,218,
332],[1,3,6,7,8,22,36,40,41,42,109,125,217,219,333],[1,2,7,9,11,37,44,111,112,
128,223,334],[1,2,8,9,11,44,114,117,128,335],[1,2,8,9,16,51,117,129,336],[1,2,
3,5,7,9,10,11,12,24,25,37,41,44,50,52,68,111,123,131,223,232,337],[1,2,6,8,9,
13,15,17,21,26,48,75,115,116,117,124,130,338],[1,2,7,9,11,14,37,44,62,111,120,
132,223,339],[1,2,6,7,9,11,17,26,27,37,40,44,48,57,100,111,118,157,223,228,
340],[1,2,5,7,9,11,12,14,25,37,38,44,50,62,89,111,119,152,222,223,341],[1,2,7,
9,11,16,27,37,44,51,57,111,122,179,223,342],[1,2,3,5,7,9,10,11,12,14,24,36,37,
38,44,52,55,62,89,111,121,166,221,222,223,343],[1,2,3,5,6,7,17,20,22,24,29,30,
34,36,37,38,46,77,79,93,95,113,121,183,229,231,234,344],[1,3,4,6,7,13,20,22,
23,30,31,32,36,40,41,54,69,93,94,99,102,104,113,125,211,225,230,231,345],[1,2,
8,9,27,57,117,135,346],[1,3,4,5,6,7,15,20,23,29,30,31,32,33,34,38,40,41,69,86,
95,97,98,102,103,113,126,214,225,227,234,347],[1,2,3,4,6,7,10,17,18,20,23,28,
32,37,41,46,58,65,69,71,113,123,134,225,226,229,348],[1,2,6,7,13,15,17,20,21,
26,31,37,40,46,75,78,94,97,113,118,184,227,229,230,349],[1,2,3,7,10,16,19,37,
41,47,63,67,123,133,233,350],[1,2,7,16,27,37,47,81,88,122,205,233,351],[1,2,3,
5,6,7,10,11,14,22,24,25,26,27,34,36,40,41,55,68,72,91,100,107,108,111,125,212,
221,228,232,352],[1,2,3,5,6,7,11,12,14,24,25,26,27,29,34,38,40,41,68,82,87,89,
100,107,108,111,126,216,222,228,232,353],[1,3,4,5,6,7,13,20,28,29,30,31,32,33,
34,38,40,41,71,84,94,95,101,103,104,113,126,215,226,230,234,354],[1,3,4,6,7,
15,20,22,28,30,31,32,36,40,41,53,71,93,97,98,99,101,113,125,213,226,227,231,
355],[1,2,5,7,16,25,37,38,47,90,92,119,206,233,356],[1,2,3,5,6,7,10,11,14,22,
24,25,26,27,34,36,37,38,40,41,55,68,72,91,100,107,108,112,118,119,120,121,122,
123,125,126,212,224,239,243,244,247,248,249,357],[1,3,4,6,8,13,20,22,23,30,31,
32,39,42,43,54,69,93,94,99,102,104,116,127,211,235,236,240,358],[1,2,4,6,8,9,
16,17,18,19,32,39,42,43,45,56,65,74,76,80,85,117,127,198,237,242,246,359],[1,
3,4,6,8,15,20,22,28,30,31,32,39,42,43,53,71,93,97,98,99,101,115,127,213,238,
241,245,360],[1,6,8,13,35,42,110,116,361],[1,6,7,20,35,40,110,113,362],[1,6,8,
15,35,42,110,115,363],[1,6,8,21,35,42,110,124,364],[1,2,6,9,11,16,17,20,26,27,
44,46,47,48,51,57,59,60,74,100,128,138,144,155,157,165,179,253,258,279,365],[
1,2,6,9,11,14,16,17,19,20,26,44,46,47,48,49,51,59,60,62,74,132,136,144,155,
161,165,178,253,259,265,366],[1,2,3,4,5,6,9,10,11,12,16,17,18,19,20,23,24,25,
26,28,32,33,44,45,46,47,48,49,50,51,52,56,58,59,60,61,63,64,65,66,67,68,69,71,
73,74,76,80,83,85,106,131,133,134,140,142,144,145,146,149,150,151,153,155,159,
165,167,172,173,180,193,194,197,198,200,202,253,264,276,283,284,287,301,367],[
1,2,6,9,11,13,15,16,17,21,26,27,44,48,51,57,74,75,81,100,128,129,130,135,137,
138,139,144,157,171,179,258,275,278,285,368],[1,2,5,6,9,11,12,13,14,15,16,17,
19,21,25,26,27,44,48,49,50,51,57,62,73,74,75,89,92,96,100,108,130,132,136,139,
140,141,143,144,147,152,157,160,161,163,170,171,174,176,178,265,268,273,278,
282,292,303,310,315,369],[1,2,6,9,11,13,15,16,17,21,26,27,44,48,51,57,74,75,
88,100,130,138,139,144,157,169,171,266,278,279,370],[1,2,5,6,9,11,12,14,16,17,
19,25,26,31,44,48,49,50,51,62,74,78,89,92,108,136,141,144,147,152,162,174,259,
260,273,371],[1,2,3,5,6,9,10,11,12,14,16,17,22,24,26,27,29,34,44,48,51,52,55,
57,62,72,74,77,82,89,90,138,143,144,148,154,158,166,267,271,279,372],[1,2,4,6,
9,11,16,17,18,19,26,27,32,44,45,48,49,51,56,57,61,63,65,74,76,80,85,100,128,
136,138,142,144,157,159,173,179,198,202,255,258,259,264,316,373],[1,2,3,5,6,9,
10,11,12,14,16,17,19,22,24,26,27,29,34,44,48,49,51,52,55,57,62,64,67,72,74,77,
81,82,89,107,129,132,136,137,141,143,144,145,148,158,161,163,166,170,171,175,
177,178,179,265,270,271,275,295,300,303,312,314,374],[1,2,3,5,6,9,10,11,12,14,
16,17,19,22,24,26,29,34,44,48,49,51,52,55,62,72,74,77,82,88,89,136,143,144,
148,158,166,169,259,266,271,375],[1,2,4,6,9,11,16,17,18,19,26,27,32,44,45,48,
49,51,56,57,61,63,65,74,76,80,81,85,90,129,137,142,144,154,159,171,173,179,
191,198,202,208,264,267,275,299,305,376],[1,2,3,4,5,6,9,10,11,12,16,17,18,19,
23,24,25,26,28,30,31,33,44,45,48,49,50,51,52,58,64,66,67,68,73,74,76,78,79,83,
101,102,106,131,140,142,144,145,146,149,156,162,188,190,194,200,260,269,276,
293,308,377],[1,2,4,6,9,11,14,16,17,18,19,26,27,32,44,45,48,49,51,56,57,61,62,
63,65,74,76,80,85,132,136,138,142,144,159,161,164,170,173,178,198,202,264,265,
272,279,316,378],[1,2,3,4,5,6,9,10,11,12,13,14,15,16,17,18,19,21,22,23,24,25,
26,27,28,29,33,34,44,45,48,49,50,51,52,53,54,55,57,58,62,64,66,67,68,70,72,73,
74,75,76,77,82,83,84,86,87,89,91,100,105,106,107,108,130,131,139,140,142,143,
144,145,146,148,149,157,158,161,164,166,168,171,174,175,177,185,189,194,200,
212,216,256,261,263,268,271,276,278,290,295,306,318,379],[1,2,6,9,11,13,15,16,
17,19,21,26,27,44,48,49,51,57,74,75,90,100,130,136,139,144,154,157,171,259,
267,278,380],[1,2,5,6,9,11,12,14,16,17,20,25,26,44,46,47,48,50,51,59,60,62,74,
89,90,92,108,141,144,147,152,154,155,165,174,206,207,253,267,273,288,321,
381],[1,2,6,9,11,14,16,17,19,26,30,44,48,49,51,62,74,79,88,132,136,144,156,
161,169,178,265,266,269,382],[1,2,3,4,5,6,9,10,11,12,16,17,18,19,23,24,25,26,
28,33,44,45,48,49,50,51,52,58,64,66,67,68,73,74,76,83,88,90,106,131,140,142,
144,145,146,149,154,169,194,200,201,210,266,267,276,286,320,383],[1,2,3,4,5,6,
9,10,11,12,16,17,18,19,23,24,25,26,27,28,33,44,45,48,49,50,51,52,57,58,64,66,
67,68,73,74,76,83,96,106,131,136,138,140,142,144,145,146,149,160,175,194,200,
259,276,277,279,316,384],[1,2,6,9,11,14,16,17,19,26,31,44,48,49,51,62,74,78,
90,132,136,144,154,161,162,178,260,265,267,385],[1,2,4,6,9,11,13,15,16,17,18,
19,21,26,27,30,32,44,45,48,49,51,56,57,61,63,65,74,75,76,79,80,85,98,100,104,
130,139,142,144,156,157,159,171,173,182,198,199,202,264,269,278,291,313,386],[
1,2,3,5,6,9,10,11,12,14,16,17,20,22,24,26,29,30,34,44,46,47,48,51,52,55,59,60,
62,72,74,77,79,82,89,93,95,143,144,148,155,156,158,165,166,183,186,253,269,
271,296,297,387],[1,2,6,9,11,16,17,20,26,27,44,46,47,48,51,57,59,60,74,81,88,
129,137,144,155,165,169,171,179,187,205,253,266,275,281,289,388],[1,2,6,9,11,
13,15,16,17,20,21,26,27,31,44,46,47,48,51,57,59,60,74,75,78,94,97,100,130,139,
144,155,157,162,165,171,184,192,253,260,278,302,309,389],[1,2,6,9,11,16,17,19,
26,27,30,44,48,49,51,57,74,79,81,129,136,137,144,156,171,179,259,269,275,
390],[1,2,6,9,11,16,17,26,27,30,44,48,51,57,74,79,90,100,128,138,144,154,156,
157,179,258,267,269,391],[1,2,3,4,5,6,9,10,11,12,14,16,17,18,19,22,24,26,29,
31,32,34,44,45,48,49,51,52,55,56,61,62,63,65,72,74,76,77,78,80,82,85,89,99,
103,142,143,144,148,158,159,162,166,173,195,196,198,202,260,264,271,280,294,
392],[1,2,3,4,5,6,9,10,11,12,14,16,17,18,19,23,24,25,26,27,28,33,44,45,48,49,
50,51,52,55,57,58,62,64,66,67,68,73,74,76,83,89,96,100,106,128,131,132,136,
138,140,142,144,145,146,149,152,157,160,161,164,166,170,175,178,179,194,200,
254,255,258,265,272,276,277,292,306,314,319,393],[1,2,4,5,6,9,11,12,14,16,17,
18,19,25,26,32,44,45,48,49,50,51,56,61,62,63,65,74,76,80,85,88,89,92,108,141,
142,144,147,152,159,169,173,174,181,198,202,203,264,266,273,304,311,394],[1,2,
3,4,5,6,9,10,11,12,14,16,17,18,19,23,24,25,26,27,28,33,44,45,48,49,50,51,52,
57,58,62,64,66,67,68,73,74,76,81,83,87,89,91,92,96,106,108,129,131,137,140,
141,142,144,145,146,147,149,152,158,160,164,168,171,174,176,178,179,194,200,
204,209,252,262,270,273,274,275,276,307,310,318,319,395],[1,2,6,9,11,16,17,26,
27,31,44,48,51,57,74,78,81,129,137,138,144,162,171,179,260,275,279,396],[1,2,
6,9,11,16,17,26,27,31,44,48,51,57,74,78,88,100,128,138,144,157,162,169,179,
258,260,266,397],[1,2,5,6,9,11,12,14,16,17,25,26,27,30,44,48,50,51,57,62,74,
79,89,92,108,138,141,144,147,152,156,174,269,273,279,398],[1,2,3,5,6,9,10,11,
12,14,16,17,22,24,25,26,27,29,34,44,48,50,51,52,55,57,62,68,72,74,77,82,87,89,
91,92,100,107,108,128,131,132,138,141,143,144,147,148,152,157,158,163,166,168,
174,176,177,179,212,216,254,258,271,273,282,290,307,312,317,399],[1,2,4,5,6,9,
12,13,14,15,16,17,18,19,20,21,25,26,30,31,32,33,46,48,49,50,59,60,61,62,63,64,
65,66,73,74,75,76,78,79,80,83,85,94,97,98,104,108,130,140,143,150,155,156,161,
162,167,173,174,182,184,192,193,197,199,200,202,268,280,283,291,293,297,302,
400],[1,2,3,4,5,6,9,10,12,13,15,16,17,18,19,20,21,22,23,24,26,28,29,30,31,32,
33,34,45,46,48,52,53,54,56,58,59,60,61,65,66,67,69,70,71,72,73,74,75,76,77,78,
79,80,82,83,84,85,86,93,94,95,97,98,99,101,102,103,104,105,106,130,134,148,
149,150,151,155,156,162,172,173,180,182,183,184,185,186,188,189,190,192,193,
194,195,196,198,199,211,213,214,215,256,284,291,294,296,302,308,323,324,326,
328,401],[1,2,3,4,5,6,9,10,12,14,16,17,18,19,23,24,28,47,49,51,52,56,58,59,60,
61,62,63,64,67,73,74,76,80,83,85,88,90,129,133,141,145,153,154,158,159,165,
167,169,172,178,180,194,197,201,202,210,270,281,286,287,304,305,321,402],[1,2,
3,4,5,6,9,10,11,12,14,16,17,18,19,23,24,25,26,27,28,33,44,45,48,49,50,51,52,
55,57,58,62,66,76,81,83,87,89,91,96,100,106,107,108,132,135,137,138,139,141,
142,143,146,149,152,157,158,160,161,163,164,166,168,170,171,174,175,176,177,
178,179,257,261,272,274,282,285,298,300,303,306,312,315,317,318,319,403],[1,2,
3,4,5,6,9,10,12,16,17,18,19,20,22,24,25,26,27,29,30,31,32,33,34,46,48,49,50,
52,57,59,60,61,63,64,65,66,72,73,74,76,77,78,79,80,82,83,85,87,91,93,95,99,
103,139,140,148,150,155,156,162,167,168,173,175,183,186,193,195,196,197,200,
202,263,283,293,294,296,309,313,404],[1,2,3,5,6,9,10,11,12,14,16,17,19,22,24,
25,26,27,29,34,44,48,49,50,51,52,55,57,62,64,67,68,72,73,77,81,82,87,89,91,92,
96,100,107,108,131,135,136,137,138,139,140,145,147,148,152,157,158,160,161,
163,166,168,170,171,174,175,176,177,178,179,204,209,212,216,262,263,277,285,
290,292,295,298,300,307,310,314,315,317,405],[1,2,3,4,5,6,9,10,12,16,17,18,19,
23,24,25,27,28,47,49,50,51,52,56,57,58,59,60,61,63,64,67,73,74,76,80,81,83,85,
87,88,90,91,92,96,133,137,145,147,153,154,159,160,165,167,168,169,172,180,181,
187,191,194,197,201,202,203,204,205,206,207,208,209,210,262,286,287,288,289,
299,311,322,325,327,329,406],[1,2,3,4,5,6,9,10,12,14,16,17,18,19,20,23,24,26,
27,28,30,31,32,33,45,46,48,52,56,57,58,59,60,61,62,65,66,67,69,71,73,74,76,78,
79,80,83,85,101,102,106,107,134,139,143,149,150,151,155,156,162,164,172,173,
177,180,188,190,193,194,198,261,280,284,297,308,309,313,407],[1,2,4,5,6,9,12,
16,17,18,19,25,32,33,45,47,50,51,56,59,60,63,64,65,66,73,74,76,80,83,85,88,90,
92,129,146,147,151,153,154,159,165,169,181,193,197,198,200,203,206,207,252,
281,288,301,305,311,320,408],[1,2,4,5,6,9,12,14,16,17,18,19,25,27,32,33,45,47,
50,51,56,57,59,60,62,63,64,65,66,73,74,76,80,81,83,85,88,90,137,141,146,151,
153,154,159,164,165,169,176,187,191,193,197,198,200,205,208,274,289,299,301,
304,320,321,409],[1,2,6,7,8,11,26,27,37,40,42,100,109,111,112,114,118,122,217,
228,247,251,330,410],[1,2,3,5,7,8,11,24,25,36,37,38,41,68,109,111,112,114,119,
121,219,224,232,330,411],[1,2,3,7,8,10,11,14,36,37,41,55,109,111,112,114,120,
123,219,221,244,330,412],[1,3,4,6,7,8,22,31,32,36,39,40,41,42,43,99,109,125,
127,217,218,219,331,332,333,413],[1,2,9,11,35,44,128,414],[1,2,6,7,9,11,16,17,
20,26,37,44,46,47,48,51,59,60,74,111,113,144,155,165,223,229,233,253,415],[1,
2,4,8,9,11,18,19,39,44,45,49,76,114,117,128,136,142,246,255,335,416],[1,2,3,5,
7,9,10,11,12,14,24,25,36,37,38,44,50,52,55,62,68,89,111,112,119,121,128,131,
132,152,166,221,222,223,224,254,334,341,343,417],[1,2,3,5,7,9,10,11,12,14,24,
25,37,41,44,50,52,55,62,68,89,111,112,120,123,128,131,132,152,166,223,232,244,
254,334,337,339,418],[1,2,4,6,8,9,13,15,17,18,19,21,26,30,32,39,48,61,65,75,
76,79,85,98,104,115,116,117,124,130,156,173,182,199,238,240,246,291,338,419],[
1,2,3,5,6,7,9,10,11,12,14,17,22,24,25,26,27,29,34,36,37,38,40,41,44,48,50,52,
55,57,62,68,72,77,82,87,89,91,100,107,108,111,118,121,123,125,126,131,148,157,
166,168,174,177,212,216,221,222,223,228,232,239,290,337,340,343,352,353,420],[
1,2,3,5,7,9,10,11,12,14,16,24,25,27,37,38,41,44,50,51,52,57,62,68,87,89,91,92,
111,119,122,123,131,147,152,158,168,176,179,222,223,232,248,307,337,341,342,
421],[1,2,6,8,9,13,15,16,17,20,21,26,31,42,46,48,59,60,74,75,78,94,97,115,116,
117,124,130,155,162,184,192,236,241,242,302,338,422],[1,2,6,8,9,16,17,42,47,
51,59,60,74,88,117,129,165,169,242,281,336,423],[1,2,3,5,7,9,10,11,12,14,16,
24,27,36,37,38,44,51,52,55,57,62,89,107,111,120,121,122,132,141,158,163,166,
177,179,221,222,223,243,312,339,342,343,424],[1,2,5,6,7,9,11,12,14,17,25,26,
27,37,38,40,44,48,50,57,62,89,100,108,111,118,119,120,132,143,152,157,163,174,
176,222,223,228,249,282,339,340,341,425],[1,2,4,8,9,16,18,19,39,51,56,63,76,
80,90,117,129,154,159,246,305,336,426],[1,2,3,4,5,6,8,9,10,12,13,15,17,18,21,
22,23,24,26,28,29,33,34,43,45,48,52,53,54,58,66,70,72,75,77,82,84,86,105,106,
115,116,117,124,130,148,149,185,189,235,237,245,250,256,338,427],[1,2,4,8,9,
11,18,19,43,44,45,49,76,114,117,128,136,142,237,255,335,428],[1,2,4,5,8,9,12,
16,18,25,43,45,50,51,83,92,117,129,146,147,237,252,336,429],[1,2,6,8,9,11,16,
17,26,27,42,44,48,51,57,74,100,114,117,128,138,144,157,179,242,251,258,335,
430],[1,2,6,7,9,11,16,17,26,27,37,40,44,48,51,57,74,100,111,112,118,122,128,
138,144,157,179,223,228,247,258,334,340,342,431],[1,2,4,8,9,14,18,27,43,45,57,
62,117,135,163,164,237,257,346,432],[1,2,3,4,5,6,7,10,13,15,17,18,20,21,22,23,
24,26,28,29,30,31,32,33,34,36,37,38,40,41,46,53,54,58,65,69,71,72,75,77,78,79,
84,86,93,94,95,97,98,99,101,102,103,104,105,106,113,118,121,123,125,126,134,
183,184,189,190,195,199,211,213,214,215,225,226,227,229,230,231,234,239,323,
344,345,347,348,349,354,355,433],[1,2,3,5,7,10,16,19,25,27,37,38,41,47,63,67,
81,88,90,91,92,96,119,122,123,133,201,203,204,205,206,208,233,248,322,350,351,
356,434],[1,4,6,8,13,30,32,35,39,42,43,104,110,116,127,220,240,361,435],[1,4,
6,8,15,30,32,35,39,42,43,98,110,115,127,220,238,363,436],[1,3,6,7,20,22,30,35,
36,40,41,93,110,113,125,220,231,362,437],[1,2,3,4,5,6,9,10,11,12,14,16,17,18,
19,20,23,24,25,26,27,28,32,33,44,45,46,47,48,49,50,51,52,55,56,57,58,59,60,61,
62,63,64,65,66,67,68,69,71,73,74,76,80,83,85,89,96,100,106,128,131,132,133,
134,136,138,140,142,144,145,146,149,150,151,152,153,155,157,159,160,161,164,
165,166,167,170,172,173,175,178,179,180,193,194,197,198,200,202,253,254,255,
258,259,264,265,272,276,277,279,283,284,287,292,301,306,314,316,319,365,366,
367,373,378,384,393,438],[1,2,3,4,5,6,9,10,11,12,13,14,15,16,17,18,19,21,22,
23,24,25,26,27,28,29,33,34,44,45,48,49,50,51,52,53,54,55,57,58,62,64,66,67,68,
70,72,73,74,75,76,77,81,82,83,84,86,87,89,91,92,96,100,105,106,107,108,128,
129,130,131,132,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,
152,157,158,160,161,163,164,166,168,170,171,174,175,176,177,178,179,185,189,
194,200,204,209,212,216,252,254,255,256,257,258,261,262,263,265,268,270,271,
272,273,274,275,276,277,278,282,285,290,292,295,298,300,303,306,307,310,312,
314,315,317,318,319,368,369,374,379,393,395,399,403,405,439],[1,2,3,4,5,6,9,
10,11,12,14,16,17,18,19,22,24,26,27,29,31,32,34,44,45,48,49,51,52,55,56,57,61,
62,63,64,65,67,72,74,76,77,78,80,81,82,85,89,90,99,103,107,129,132,136,137,
138,141,142,143,144,145,148,154,158,159,161,162,163,164,166,170,171,173,175,
177,178,179,191,195,196,198,202,208,260,264,265,267,270,271,272,275,279,280,
294,295,299,300,303,305,312,314,316,372,374,376,378,385,392,396,440],[1,2,6,9,
11,13,15,16,17,20,21,26,27,31,44,46,47,48,51,57,59,60,74,75,78,81,88,94,97,
100,128,129,130,135,137,138,139,144,155,157,162,165,169,171,179,184,187,192,
205,253,258,260,266,275,278,279,281,285,289,302,309,365,368,370,388,389,396,
397,441],[1,2,3,4,5,6,9,10,11,12,14,16,17,18,19,23,24,25,26,27,28,30,31,33,44,
45,48,49,50,51,52,55,57,58,62,64,66,67,68,73,74,76,78,79,83,88,89,90,96,100,
101,102,106,128,131,132,136,138,140,142,144,145,146,149,152,154,156,157,160,
161,162,164,166,169,170,175,178,179,188,190,194,200,201,210,254,255,258,260,
265,266,267,269,272,276,277,286,292,293,306,308,314,319,320,377,382,383,385,
391,393,397,442],[1,2,3,4,5,6,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,
25,26,27,28,29,30,31,32,33,34,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,
60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,82,83,84,85,86,
87,89,91,93,94,95,97,98,99,100,101,102,103,104,105,106,107,108,130,131,133,
134,139,140,142,143,144,145,146,148,149,150,151,153,155,156,157,158,159,161,
162,164,165,166,167,168,171,172,173,174,175,177,180,182,183,184,185,186,188,
189,190,192,193,194,195,196,197,198,199,200,202,211,212,213,214,215,216,253,
256,260,261,263,264,268,269,271,276,278,280,283,284,287,290,291,293,294,295,
296,297,301,302,306,308,309,313,318,323,324,326,328,367,377,379,386,387,389,
392,400,401,404,407,443],[1,2,3,4,5,6,9,10,11,12,14,16,17,18,19,23,24,25,26,
27,28,30,31,33,44,45,48,49,50,51,52,57,58,62,64,66,67,68,73,74,76,78,79,81,83,
87,89,91,92,96,101,102,106,108,129,131,136,137,138,140,141,142,144,145,146,
147,149,152,156,158,160,162,164,168,171,174,175,176,178,179,188,190,194,200,
204,209,252,259,260,262,269,270,273,274,275,276,277,279,293,307,308,310,316,
318,319,371,377,384,390,395,396,398,444],[1,2,3,4,5,6,9,10,11,12,14,16,17,18,
19,20,23,24,25,26,27,28,32,33,44,45,46,47,48,49,50,51,52,56,57,58,59,60,61,62,
63,64,65,66,67,68,69,71,73,74,76,80,81,83,85,87,88,89,90,91,92,96,106,108,129,
131,133,134,137,140,141,142,144,145,146,147,149,150,151,152,153,154,155,158,
159,160,164,165,167,168,169,171,172,173,174,176,178,179,180,181,187,191,193,
194,197,198,200,201,202,203,204,205,206,207,208,209,210,252,253,262,264,266,
267,270,273,274,275,276,281,283,284,286,287,288,289,299,301,304,305,307,310,
311,318,319,320,321,322,325,327,329,367,376,381,383,388,394,395,402,406,408,
409,445],[1,2,5,6,9,11,12,13,14,15,16,17,19,20,21,25,26,27,31,44,46,47,48,49,
50,51,57,59,60,62,73,74,75,78,89,90,92,94,96,97,100,108,130,132,136,139,140,
141,143,144,147,152,154,155,157,160,161,162,163,165,170,171,174,176,178,184,
192,206,207,253,259,260,265,267,268,273,278,282,288,292,302,303,309,310,315,
321,366,369,371,380,381,385,389,446],[1,2,3,4,5,6,9,10,11,12,13,14,15,16,17,
18,19,21,22,23,24,25,26,27,28,29,33,34,44,45,48,49,50,51,52,53,54,55,57,58,62,
64,66,67,68,70,72,73,74,75,76,77,82,83,84,86,87,88,89,90,91,96,100,105,106,
107,108,130,131,136,138,139,140,142,143,144,145,146,148,149,154,157,158,160,
161,164,166,168,169,171,174,175,177,185,189,194,200,201,210,212,216,256,259,
261,263,266,267,268,271,276,277,278,279,286,290,295,306,316,318,320,370,372,
375,379,380,383,384,447],[1,2,3,5,6,9,10,11,12,14,16,17,20,22,24,25,26,27,29,
30,34,44,46,47,48,50,51,52,55,57,59,60,62,68,72,74,77,79,82,87,89,90,91,92,93,
95,100,107,108,128,131,132,138,141,143,144,147,148,152,154,155,156,157,158,
163,165,166,168,174,176,177,179,183,186,206,207,212,216,253,254,258,267,269,
271,273,279,282,288,290,296,297,307,312,317,321,365,372,381,387,391,398,399,
448],[1,2,3,4,5,6,9,10,11,12,14,16,17,18,19,22,24,25,26,27,29,31,32,34,44,45,
48,49,50,51,52,55,56,57,61,62,63,65,68,72,74,76,77,78,80,82,85,87,88,89,91,92,
99,100,103,107,108,128,131,132,136,138,141,142,143,144,147,148,152,157,158,
159,162,163,166,168,169,173,174,176,177,179,181,195,196,198,202,203,212,216,
254,255,258,259,260,264,266,271,273,280,282,290,294,304,307,311,312,316,317,
371,373,375,392,394,397,399,449],[1,2,4,6,9,11,13,15,16,17,18,19,21,26,27,30,
32,44,45,48,49,51,56,57,61,63,65,74,75,76,79,80,81,85,90,98,100,104,128,129,
130,135,136,137,138,139,142,144,154,156,157,159,171,173,179,182,191,198,199,
202,208,255,258,259,264,267,269,275,278,285,291,299,305,313,316,368,373,376,
380,386,390,391,450],[1,2,3,5,6,9,10,11,12,14,16,17,19,20,22,24,26,27,29,30,
34,44,46,47,48,49,51,52,55,57,59,60,62,64,67,72,74,77,79,81,82,88,89,93,95,
107,129,132,136,137,141,143,144,145,148,155,156,158,161,163,165,166,169,170,
171,175,177,178,179,183,186,187,205,253,259,265,266,269,270,271,275,281,289,
295,296,297,300,303,312,314,366,374,375,382,387,388,390,451],[1,2,4,5,6,9,11,
12,13,14,15,16,17,18,19,21,25,26,27,30,32,44,45,48,49,50,51,56,57,61,62,63,65,
73,74,75,76,79,80,85,88,89,92,96,98,100,104,108,130,132,136,138,139,140,141,
142,143,144,147,152,156,157,159,160,161,163,164,169,170,171,173,174,176,178,
181,182,198,199,202,203,264,265,266,268,269,272,273,278,279,282,291,292,303,
304,310,311,313,315,316,369,370,378,382,386,394,398,452],[1,2,7,8,9,11,37,44,
109,111,112,114,117,128,223,330,334,335,453],[1,2,3,5,6,7,8,10,11,14,22,24,25,
26,27,34,36,37,38,40,41,42,55,68,72,91,100,107,108,109,111,112,114,118,119,
120,121,122,123,125,126,212,217,219,221,224,228,232,239,243,244,247,248,249,
251,330,333,352,357,410,411,412,454],[1,2,6,9,11,16,17,26,27,35,44,48,51,57,
74,100,110,128,138,144,157,179,258,414,455],[1,2,6,7,9,11,16,17,20,26,27,37,
44,46,47,48,51,57,59,60,74,81,88,111,113,122,129,137,144,155,165,169,171,179,
187,205,223,229,233,253,266,275,281,289,342,351,388,415,456],[1,2,3,4,5,6,7,9,
10,11,12,16,17,18,19,20,23,24,25,26,28,32,33,37,41,44,45,46,47,48,49,50,51,52,
56,58,59,60,61,63,64,65,66,67,68,69,71,73,74,76,80,83,85,106,111,113,123,131,
133,134,140,142,144,145,146,149,150,151,153,155,159,165,167,172,173,180,193,
194,197,198,200,202,223,225,226,229,232,233,253,264,276,283,284,287,301,337,
348,350,367,415,457],[1,2,6,8,9,11,13,15,16,17,21,26,27,44,48,51,57,74,75,81,
100,114,115,116,117,124,128,129,130,135,137,138,139,144,157,171,179,258,275,
278,285,335,336,338,346,368,458],[1,2,6,7,9,11,16,17,20,26,27,37,44,46,47,48,
51,57,59,60,74,100,111,112,113,128,138,144,155,157,165,179,223,229,233,253,
258,279,334,365,415,459],[1,2,3,5,6,7,9,10,11,12,14,16,17,20,22,24,26,29,30,
34,36,37,38,44,46,47,48,51,52,55,59,60,62,72,74,77,79,82,89,93,95,111,113,121,
143,144,148,155,156,158,165,166,183,186,221,222,223,229,231,233,234,253,269,
271,296,297,343,344,387,415,460],[1,2,6,7,9,11,13,15,16,17,20,21,26,27,31,37,
40,44,46,47,48,51,57,59,60,74,75,78,94,97,100,111,113,118,130,139,144,155,157,
162,165,171,184,192,223,227,228,229,230,233,253,260,278,302,309,340,349,389,
415,461],[1,2,5,6,7,9,11,12,14,16,17,20,25,26,37,38,44,46,47,48,50,51,59,60,
62,74,89,90,92,108,111,113,119,141,144,147,152,154,155,165,174,206,207,222,
223,229,233,253,267,273,288,321,341,356,381,415,462],[1,2,6,7,9,11,14,16,17,
19,20,26,37,44,46,47,48,49,51,59,60,62,74,111,113,120,132,136,144,155,161,165,
178,223,229,233,253,259,265,339,366,415,463],[1,2,3,5,6,7,9,10,11,12,14,16,17,
22,24,25,26,27,29,34,36,37,38,40,41,44,48,50,51,52,55,57,62,68,72,74,77,82,87,
89,91,92,100,107,108,111,112,118,119,120,121,122,123,125,126,128,131,132,138,
141,143,144,147,148,152,157,158,163,166,168,174,176,177,179,212,216,221,222,
223,224,228,232,239,243,244,247,248,249,254,258,271,273,282,290,307,312,317,
334,337,339,340,341,342,343,352,353,357,399,417,418,420,421,424,425,431,464],[
1,2,4,6,8,9,11,16,17,18,19,26,27,32,39,42,43,44,45,48,49,51,56,57,61,63,65,74,
76,80,85,100,114,117,127,128,136,138,142,144,157,159,173,179,198,202,237,242,
246,251,255,258,259,264,316,335,359,373,416,428,430,465],[1,2,3,4,5,6,8,9,10,
12,13,15,16,17,18,19,20,21,22,23,24,26,28,29,30,31,32,33,34,39,42,43,45,46,48,
52,53,54,56,58,59,60,61,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,82,83,84,
85,86,93,94,95,97,98,99,101,102,103,104,105,106,115,116,117,124,127,130,134,
148,149,150,151,155,156,162,172,173,180,182,183,184,185,186,188,189,190,192,
193,194,195,196,198,199,211,213,214,215,235,236,237,238,240,241,242,245,246,
250,256,284,291,294,296,302,308,323,324,326,328,338,358,359,360,401,419,422,
427,466],[1,2,4,5,6,8,9,12,16,17,18,19,25,32,33,39,42,43,45,47,50,51,56,59,60,
63,64,65,66,73,74,76,80,83,85,88,90,92,117,127,129,146,147,151,153,154,159,
165,169,181,193,197,198,200,203,206,207,237,242,246,252,281,288,301,305,311,
320,336,359,408,423,426,429,467],[1,2,3,4,5,6,9,10,11,12,13,14,15,16,17,18,19,
20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,44,45,46,47,48,49,50,51,52,53,54,
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,
105,106,107,108,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,
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,
200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,252,253,
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,
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,
403,404,405,406,407,408,409,438,439,440,441,442,443,444,445,446,447,448,449,
450,451,452,468],[1,2,6,7,8,9,11,16,17,26,27,37,40,42,44,48,51,57,74,100,109,
111,112,114,117,118,122,128,138,144,157,179,217,223,228,242,247,251,258,330,
334,335,340,342,410,430,431,453,469],[1,2,3,5,7,8,9,10,11,12,14,24,25,36,37,
38,41,44,50,52,55,62,68,89,109,111,112,114,117,119,120,121,123,128,131,132,
152,166,219,221,222,223,224,232,244,254,330,334,335,337,339,341,343,411,412,
417,418,453,470],[1,2,4,7,8,9,11,18,19,37,39,43,44,45,49,76,109,111,112,114,
117,128,136,142,218,223,237,246,255,330,334,335,416,428,453,471],[1,2,6,9,11,
16,17,26,27,30,35,44,48,51,57,74,79,90,100,110,128,138,144,154,156,157,179,
220,258,267,269,391,414,455,472],[1,6,7,8,13,20,31,35,40,42,94,109,110,113,
116,217,230,236,331,361,362,473],[1,6,7,8,15,20,31,35,40,42,97,109,110,113,
115,217,227,241,331,362,363,474],[1,2,3,4,5,6,7,9,10,11,12,14,16,17,18,19,20,
23,24,25,26,27,28,32,33,37,38,41,44,45,46,47,48,49,50,51,52,56,57,58,59,60,61,
62,63,64,65,66,67,68,69,71,73,74,76,80,81,83,85,87,88,89,90,91,92,96,106,108,
111,113,119,122,123,129,131,133,134,137,140,141,142,144,145,146,147,149,150,
151,152,153,154,155,158,159,160,164,165,167,168,169,171,172,173,174,176,178,
179,180,181,187,191,193,194,197,198,200,201,202,203,204,205,206,207,208,209,
210,222,223,225,226,229,232,233,248,252,253,262,264,266,267,270,273,274,275,
276,281,283,284,286,287,288,289,299,301,304,305,307,310,311,318,319,320,321,
322,325,327,329,337,341,342,348,350,351,356,367,376,381,383,388,394,395,402,
406,408,409,415,421,434,445,456,457,462,475],[1,2,3,4,5,6,7,9,10,11,12,14,16,
17,18,19,20,23,24,25,26,27,28,32,33,37,41,44,45,46,47,48,49,50,51,52,55,56,57,
58,59,60,61,62,63,64,65,66,67,68,69,71,73,74,76,80,83,85,89,96,100,106,111,
112,113,120,123,128,131,132,133,134,136,138,140,142,144,145,146,149,150,151,
152,153,155,157,159,160,161,164,165,166,167,170,172,173,175,178,179,180,193,
194,197,198,200,202,223,225,226,229,232,233,244,253,254,255,258,259,264,265,
272,276,277,279,283,284,287,292,301,306,314,316,319,334,337,339,348,350,365,
366,367,373,378,384,393,415,418,438,457,459,463,476],[1,2,3,4,5,6,7,9,10,11,
12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,36,37,38,
40,41,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,
68,69,70,71,72,73,74,75,76,77,78,79,80,82,83,84,85,86,87,89,91,93,94,95,97,98,
99,100,101,102,103,104,105,106,107,108,111,113,118,121,123,125,126,130,131,
133,134,139,140,142,143,144,145,146,148,149,150,151,153,155,156,157,158,159,
161,162,164,165,166,167,168,171,172,173,174,175,177,180,182,183,184,185,186,
188,189,190,192,193,194,195,196,197,198,199,200,202,211,212,213,214,215,216,
221,222,223,225,226,227,228,229,230,231,232,233,234,239,253,256,260,261,263,
264,268,269,271,276,278,280,283,284,287,290,291,293,294,295,296,297,301,302,
306,308,309,313,318,323,324,326,328,337,340,343,344,345,347,348,349,350,352,
353,354,355,367,377,379,386,387,389,392,400,401,404,407,415,420,433,443,457,
460,461,477],[1,2,3,5,6,7,9,10,11,12,14,16,17,20,22,24,25,26,27,29,30,34,36,
37,38,44,46,47,48,50,51,52,55,57,59,60,62,68,72,74,77,79,82,87,89,90,91,92,93,
95,100,107,108,111,112,113,119,121,128,131,132,138,141,143,144,147,148,152,
154,155,156,157,158,163,165,166,168,174,176,177,179,183,186,206,207,212,216,
221,222,223,224,229,231,233,234,253,254,258,267,269,271,273,279,282,288,290,
296,297,307,312,317,321,334,341,343,344,356,365,372,381,387,391,398,399,415,
417,448,459,460,462,478],[1,2,6,7,9,11,13,15,16,17,20,21,26,27,31,37,40,44,46,
47,48,51,57,59,60,74,75,78,81,88,94,97,100,111,112,113,118,122,128,129,130,
135,137,138,139,144,155,157,162,165,169,171,179,184,187,192,205,223,227,228,
229,230,233,247,253,258,260,266,275,278,279,281,285,289,302,309,334,340,342,
349,351,365,368,370,388,389,396,397,415,431,441,456,459,461,479],[1,2,3,4,5,6,
8,9,10,11,12,13,14,15,16,17,18,19,21,22,23,24,25,26,27,28,29,33,34,43,44,45,
48,49,50,51,52,53,54,55,57,58,62,64,66,67,68,70,72,73,74,75,76,77,81,82,83,84,
86,87,89,91,92,96,100,105,106,107,108,114,115,116,117,124,128,129,130,131,132,
135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,152,157,158,160,
161,163,164,166,168,170,171,174,175,176,177,178,179,185,189,194,200,204,209,
212,216,235,237,245,250,252,254,255,256,257,258,261,262,263,265,268,270,271,
272,273,274,275,276,277,278,282,285,290,292,295,298,300,303,306,307,310,312,
314,315,317,318,319,335,336,338,346,368,369,374,379,393,395,399,403,405,427,
428,429,432,439,458,480],[1,2,3,5,6,7,9,10,11,12,14,16,17,19,20,22,24,26,27,
29,30,34,36,37,38,44,46,47,48,49,51,52,55,57,59,60,62,64,67,72,74,77,79,81,82,
88,89,93,95,107,111,113,120,121,122,129,132,136,137,141,143,144,145,148,155,
156,158,161,163,165,166,169,170,171,175,177,178,179,183,186,187,205,221,222,
223,229,231,233,234,243,253,259,265,266,269,270,271,275,281,289,295,296,297,
300,303,312,314,339,342,343,344,351,366,374,375,382,387,388,390,415,424,451,
456,460,463,481],[1,2,4,6,8,9,11,13,15,16,17,18,19,21,26,27,30,32,39,44,45,48,
49,51,56,57,61,63,65,74,75,76,79,80,81,85,90,98,100,104,114,115,116,117,124,
128,129,130,135,136,137,138,139,142,144,154,156,157,159,171,173,179,182,191,
198,199,202,208,238,240,246,255,258,259,264,267,269,275,278,285,291,299,305,
313,316,335,336,338,346,368,373,376,380,386,390,391,416,419,426,450,458,482],[
1,2,5,6,7,9,11,12,13,14,15,16,17,19,20,21,25,26,27,31,37,38,40,44,46,47,48,49,
50,51,57,59,60,62,73,74,75,78,89,90,92,94,96,97,100,108,111,113,118,119,120,
130,132,136,139,140,141,143,144,147,152,154,155,157,160,161,162,163,165,170,
171,174,176,178,184,192,206,207,222,223,227,228,229,230,233,249,253,259,260,
265,267,268,273,278,282,288,292,302,303,309,310,315,321,339,340,341,349,356,
366,369,371,380,381,385,389,415,425,446,461,462,463,483],[1,2,6,8,9,11,13,15,
16,17,20,21,26,27,31,42,44,46,47,48,51,57,59,60,74,75,78,81,88,94,97,100,114,
115,116,117,124,128,129,130,135,137,138,139,144,155,157,162,165,169,171,179,
184,187,192,205,236,241,242,251,253,258,260,266,275,278,279,281,285,289,302,
309,335,336,338,346,365,368,370,388,389,396,397,422,423,430,441,458,484],[1,2,
4,6,7,8,9,11,16,17,18,19,26,27,32,37,39,40,42,43,44,45,48,49,51,56,57,61,63,
65,74,76,80,85,100,109,111,112,114,117,118,122,127,128,136,138,142,144,157,
159,173,179,198,202,217,218,223,228,237,242,246,247,251,255,258,259,264,316,
330,332,334,335,340,342,359,373,410,416,428,430,431,453,465,469,471,485],[1,2,
3,5,6,7,8,9,10,11,12,14,16,17,22,24,25,26,27,29,34,36,37,38,40,41,42,44,48,50,
51,52,55,57,62,68,72,74,77,82,87,89,91,92,100,107,108,109,111,112,114,117,118,
119,120,121,122,123,125,126,128,131,132,138,141,143,144,147,148,152,157,158,
163,166,168,174,176,177,179,212,216,217,219,221,222,223,224,228,232,239,242,
243,244,247,248,249,251,254,258,271,273,282,290,307,312,317,330,333,334,335,
337,339,340,341,342,343,352,353,357,399,410,411,412,417,418,420,421,424,425,
430,431,453,454,464,469,470,486],[1,2,6,7,8,9,11,16,17,26,27,31,37,40,42,44,
48,51,57,74,78,88,100,109,111,112,114,117,118,122,128,138,144,157,162,169,179,
217,223,228,242,247,251,258,260,266,330,331,334,335,340,342,397,410,430,431,
453,469,487],[1,3,4,6,7,8,13,20,22,23,30,31,32,35,36,39,40,41,42,43,54,69,93,
94,99,102,104,109,110,113,116,125,127,211,217,218,219,220,225,230,231,235,236,
240,331,332,333,345,358,361,362,413,435,437,473,488],[1,3,4,6,7,8,15,20,22,28,
30,31,32,35,36,39,40,41,42,43,53,71,93,97,98,99,101,109,110,113,115,125,127,
213,217,218,219,220,226,227,231,238,241,245,331,332,333,355,360,362,363,413,
436,437,474,489],[1,2,3,4,5,6,7,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,
24,25,26,27,28,29,30,31,32,33,34,36,37,38,40,41,44,45,46,47,48,49,50,51,52,53,
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,
104,105,106,107,108,111,112,113,118,119,120,121,122,123,125,126,128,129,130,
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,
207,208,209,210,211,212,213,214,215,216,221,222,223,224,225,226,227,228,229,
230,231,232,233,234,239,243,244,247,248,249,252,253,254,255,256,257,258,259,
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,
317,318,319,320,321,322,323,324,325,326,327,328,329,334,337,339,340,341,342,
343,344,345,347,348,349,350,351,352,353,354,355,356,357,365,366,367,368,369,
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,
408,409,415,417,418,420,421,424,425,431,433,434,438,439,440,441,442,443,444,
445,446,447,448,449,450,451,452,456,457,459,460,461,462,463,464,468,475,476,
477,478,479,481,483,490],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,
22,23,24,25,26,27,28,29,30,31,32,33,34,39,42,43,44,45,46,47,48,49,50,51,52,53,
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,
104,105,106,107,108,114,115,116,117,124,127,128,129,130,131,132,133,134,135,
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,
212,213,214,215,216,235,236,237,238,240,241,242,245,246,250,251,252,253,254,
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,
312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,335,
336,338,346,358,359,360,365,366,367,368,369,370,371,372,373,374,375,376,377,
378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,394,395,396,
397,398,399,400,401,402,403,404,405,406,407,408,409,416,419,422,423,426,427,
428,429,430,432,438,439,440,441,442,443,444,445,446,447,448,449,450,451,452,
458,465,466,467,468,480,482,484,491],[1,2,6,8,9,11,13,15,16,17,21,26,27,35,42,
44,48,51,57,74,75,81,100,110,114,115,116,117,124,128,129,130,135,137,138,139,
144,157,171,179,242,251,258,275,278,285,335,336,338,346,361,363,364,368,414,
430,455,458,492],[1,2,6,7,9,11,16,17,20,26,27,35,37,40,44,46,47,48,51,57,59,
60,74,100,110,111,112,113,118,122,128,138,144,155,157,165,179,223,228,229,233,
247,253,258,279,334,340,342,362,365,414,415,431,455,459,493],[1,2,3,4,5,6,7,8,
9,10,11,12,14,16,17,18,19,22,24,25,26,27,29,31,32,34,36,37,38,39,40,41,42,43,
44,45,48,49,50,51,52,55,56,57,61,62,63,65,68,72,74,76,77,78,80,82,85,87,88,89,
91,92,99,100,103,107,108,109,111,112,114,117,118,119,120,121,122,123,125,126,
127,128,131,132,136,138,141,142,143,144,147,148,152,157,158,159,162,163,166,
168,169,173,174,176,177,179,181,195,196,198,202,203,212,216,217,218,219,221,
222,223,224,228,232,237,239,242,243,244,246,247,248,249,251,254,255,258,259,
260,264,266,271,273,280,282,290,294,304,307,311,312,316,317,330,331,332,333,
334,335,337,339,340,341,342,343,352,353,357,359,371,373,375,392,394,397,399,
410,411,412,413,416,417,418,420,421,424,425,428,430,431,449,453,454,464,465,
469,470,471,485,486,487,494],[1,2,4,6,8,9,11,13,15,16,17,18,19,21,26,27,30,32,
35,39,42,43,44,45,48,49,51,56,57,61,63,65,74,75,76,79,80,81,85,90,98,100,104,
110,114,115,116,117,124,127,128,129,130,135,136,137,138,139,142,144,154,156,
157,159,171,173,179,182,191,198,199,202,208,220,237,238,240,242,246,251,255,
258,259,264,267,269,275,278,285,291,299,305,313,316,335,336,338,346,359,361,
363,364,368,373,376,380,386,390,391,414,416,419,426,428,430,435,436,450,455,
458,465,472,482,492,495],[1,2,3,5,6,7,9,10,11,12,14,16,17,20,22,24,25,26,27,
29,30,34,35,36,37,38,40,41,44,46,47,48,50,51,52,55,57,59,60,62,68,72,74,77,79,
82,87,89,90,91,92,93,95,100,107,108,110,111,112,113,118,119,120,121,122,123,
125,126,128,131,132,138,141,143,144,147,148,152,154,155,156,157,158,163,165,
166,168,174,176,177,179,183,186,206,207,212,216,220,221,222,223,224,228,229,
231,232,233,234,239,243,244,247,248,249,253,254,258,267,269,271,273,279,282,
288,290,296,297,307,312,317,321,334,337,339,340,341,342,343,344,352,353,356,
357,362,365,372,381,387,391,398,399,414,415,417,418,420,421,424,425,431,437,
448,455,459,460,462,464,472,478,493,496],[1,2,6,7,8,9,11,13,15,16,17,20,21,26,
27,31,35,37,40,42,44,46,47,48,51,57,59,60,74,75,78,81,88,94,97,100,109,110,
111,112,113,114,115,116,117,118,122,124,128,129,130,135,137,138,139,144,155,
157,162,165,169,171,179,184,187,192,205,217,223,227,228,229,230,233,236,241,
242,247,251,253,258,260,266,275,278,279,281,285,289,302,309,330,331,334,335,
336,338,340,342,346,349,351,361,362,363,364,365,368,370,388,389,396,397,410,
414,415,422,423,430,431,441,453,455,456,458,459,461,469,473,474,479,484,487,
492,493,497],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,
25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,
51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,
77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,
102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,
121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,
140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,
159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,
178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,
197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,
216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,
235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,
254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,
273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,
292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,
311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,
330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,
349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,367,
368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,
387,388,389,390,391,392,393,394,395,396,397,398,399,400,401,402,403,404,405,
406,407,408,409,410,411,412,413,414,415,416,417,418,419,420,421,422,423,424,
425,426,427,428,429,430,431,432,433,434,435,436,437,438,439,440,441,442,443,
444,445,446,447,448,449,450,451,452,453,454,455,456,457,458,459,460,461,462,
463,464,465,466,467,468,469,470,471,472,473,474,475,476,477,478,479,480,481,
482,483,484,485,486,487,488,489,490,491,492,493,494,495,496,497,498]],
0,[[1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,3,1],[1,1,2,1],[1,3,1],[1,
1,2,1],[1,3,1],[1,1,1],[1,3,1],[1,1,1],[1,1,2,1],[1,1,2,1],[1,1,1],[1,3,1],[1,
3,1],[1,2,1,1],[1,1,1,1,1],[1,1,1,1,1],[1,1,2,1],[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],[1,1,1,1,1],[1,1],[1,3,1,
1],[1,1,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,1,1,1],[1,3,1,1],[1,1,1,1],[1,7,
3,4,1],[1,3,4,1,6,1],[1,1,6,3,4,1],[1,1,3,1],[1,3,4,1,2,4,1],[1,3,1,2,1],[1,3,
4,1,2,4,1],[1,3,1,2,1],[1,3,2,2,1,1,1,4,1],[1,3,1,3,1,3,3,1],[1,3,1,3,1,3,3,
1],[1,3,2,1,1,1,1],[1,1,4,1,2,1],[1,3,1,2,1],[1,1,2,2,2,1,1,1,2,2,1],[1,1,2,2,
1,1],[1,1,4,1,2,1],[1,1,2,1,2,1],[1,3,1,2,1],[1,1,1,2,1],[1,1,2,1,1,1,1],[1,1,
4,2,1,2,4,1],[1,1,2,2,2,1,1,1,4,1],[1,1,2,1,1,1,1],[1,3,1,3,1,3,3,1],[1,1,3,3,
1,3,3,1],[1,1,3,3,1,3,3,1],[1,1,3,3,1,3,3,1],[1,1,3,1,2,1,2,1,1,2,1],[1,1,2,2,
1,1,1,1],[1,3,2,1,1,1,1],[1,1,6,1,1,1,2,2,1],[1,3,2,1,1,1,1],[1,1,2,2,2,1,1,2,
1,2,1],[1,1,2,1,2,1],[1,1,2,1,2,1],[1,1,2,1,1,1,1],[1,1,1,2,1],[1,1,1,3,2,1,1,
1,2,2,1],[1,1,2,2,1,1,1,1],[1,1,1,2,3,1,1,1,2,2,1],[1,1,2,2,1,1,1,1],[1,1,1,2,
3,1,1,1,2,2,1],[1,1,4,1,1,1,1],[1,1,1,1],[1,3,2,1,1,1,1],[1,1,1,1],[1,1,2,2,1,
1,1,1],[1,1,4,1,2,1],[1,2,3,1,1,1,1],[1,5,1,1,1,1],[1,2,3,1,1,1,1],[1,1,2,1,1,
1,1],[1,5,1,1,1,1],[1,2,3,1,1,1,1],[1,2,2,1,1,1,1,1],[1,3,2,1,1,1,1],[1,1,1,1,
1,1,1,1],[1,1,1,1,1,1,1,1],[1,2,2,1,1,1,1,1],[1,2,3,1,1,1,1],[1,2,1,1,3,1,1,1,
1,1,2,1],[1,1,1,2,1,2,1,1,1,1,1,2,1],[1,1,1,1,1,1,1,1],[1,1,2,2,1,1,1,1],[1,2,
2,1],[1,5,1,1],[1,3,4,1,1],[1,3,1,1,3,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[
1,3,4,1,1],[1,3,4,1,1],[1,1,6,1,3,1,2,1],[1,1,6,1,3,1,2,1],[1,1,1,1,1,1],[1,1,
3,3,1,3,1,1,1,1],[1,1,1,3,1,1],[1,1,2,1,1,1,2,1],[1,3,4,1,1],[1,4,3,1,3,1,1,1,
1],[1,1,3,3,1,3,1,1,1,1],[1,4,3,1,3,1,1,1,1],[1,15,15,20,15,1],[1,3,1,6,3,1],[
1,3,12,1,4,4,6,8,12,3,12,1],[1,7,2,6,3,1,4,3,12,12,1,3,3,8,1],[1,7,3,4,4,1,6,
1],[1,1,2,1,3,3,1,3,3,1],[1,1,2,6,6,1,3,3,4,6,6,12,1,3,3,4,4,1],[1,3,1,6,3,
1],[1,7,3,4,4,1,2,1],[1,3,1,2,4,1,2,4,1],[1,7,3,4,4,1,2,1],[1,3,4,1,2,4,4,1,2,
1],[1,3,4,4,1,2,2,2,4,4,1,1,1,4,1],[1,3,1,4,2,1,2,1],[1,7,4,3,4,6,2,1,1,1,4,
1],[1,3,4,1,4,2,4,1,2,1],[1,7,4,3,4,2,2,4,1,1,1,4,1],[1,3,2,2,1,1,1,2,2,4,1,1,
1,2,2,1],[1,3,4,4,1,2,2,6,4,1,1,1,4,1],[1,3,8,1,4,2,8,2,1,4,1],[1,3,4,4,4,1,2,
2,2,4,8,4,4,8,1,2,4,4,4,1],[1,3,2,4,2,4,1,1,1,2,6,4,4,4,4,8,1,1,1,2,2,8,1],[1,
1,2,2,6,1,3,1,2,4,4,1,1,1,2,2,1],[1,1,6,2,2,1,2,1,3,4,4,2,1,1,1,2,1],[1,7,4,3,
4,2,2,4,1,1,1,4,1],[1,1,4,2,1,3,2,1,1,1,1,2,2,1],[1,3,1,2,1,2,1],[1,3,8,1,2,4,
4,4,1,1,1,2,2,1],[1,3,4,1,2,4,4,1,2,1],[1,7,4,3,4,2,4,2,1,1,1,4,1],[1,3,2,2,1,
1,1,2,2,4,1,1,1,1],[1,3,4,1,2,2,2,1,1,1,2,2,1],[1,3,4,1,2,2,4,2,1,1,1,4,1],[1,
3,4,1,2,2,2,4,1,1,1,1],[1,3,4,1,2,4,4,1,2,1],[1,3,1,4,2,1,2,1],[1,3,4,1,2,6,2,
1,1,1,1],[1,3,4,1,4,2,1,1,2,1,2,1],[1,7,2,2,3,1,4,1,2,4,1,1,2,1,2,1],[1,1,2,4,
1,1,2,3,1,2,1,1,2,1],[1,3,2,6,1,1,3,4,4,2,1,1,1,2,2,1],[1,3,1,2,1,2,1],[1,3,1,
2,2,2,1,1,1,1],[1,3,4,1,2,2,4,2,1,1,1,1],[1,1,2,4,4,1,1,2,2,1,4,4,1,2,1,1,2,
1],[1,3,4,4,1,2,2,2,4,4,1,1,1,2,2,1],[1,3,4,4,1,2,2,2,4,4,1,1,1,4,1],[1,3,2,2,
1,1,1,2,4,2,1,1,1,1],[1,3,4,1,2,2,4,2,1,1,1,1],[1,3,2,2,1,1,1,2,4,2,1,1,1,4,
1],[1,3,1,2,2,2,1,1,1,1],[1,7,3,4,2,2,1,1,1,1],[1,1,2,2,2,1,2,1,1,2,2,2,1,1,1,
2,2,1],[1,1,4,4,1,2,2,1,1,1,1],[1,1,6,1,1,1,2,2,2,2,1,1,1,1],[1,1,2,2,6,3,4,1,
2,1,2,2,1,1,1,2,2,1],[1,1,10,1,1,3,4,2,2,2,1,1,1,2,2,1],[1,1,2,2,4,6,1,1,1,1,
1,2,1,2,2,2,2,5,8,6,1,2,1,1,2,2,2,2,2,1],[1,1,2,2,2,2,1,1,2,1,2,2,1,1,1,1],[1,
1,4,1,2,2,1,1,1,1],[1,1,2,2,2,1,1,1,2,2,4,1,1,1,1],[1,1,4,2,2,6,1,1,1,1,1,2,5,
4,2,2,4,1,4,6,1,1,1,2,1,1,1,1,4,2,1],[1,1,2,2,2,1,1,1,2,2,2,2,1,1,1,2,2,1],[1,
1,4,1,2,2,1,1,1,1],[1,1,6,1,1,2,1,2,2,2,1,1,1,1],[1,1,4,2,4,1,1,2,2,1,4,4,1,1,
1,1,1,1,1,1],[1,3,2,2,2,2,1,1,1,1,1,1,1,2,4,2,1,1,1,1,1,1,1,1],[1,1,2,4,2,2,1,
2,1,2,1,2,4,2,1,1,1,2,2,1],[1,1,2,2,2,1,2,1,2,1,2,2,1,1,1,1],[1,1,2,2,2,1,2,1,
1,2,1,1,1,1,1,1,1,1],[1,3,6,2,1,1,1,7,1,4,1,1,1,1,1,1,1,1],[1,1,4,6,1,1,1,2,2,
2,2,4,1,1,1,2,2,1],[1,3,2,4,2,1,2,1,1,1,1,4,4,1,1,1,1,1,1,1,1],[1,1,2,1,1,1,1,
1,1,1],[1,3,2,2,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,1,4,1,2,2,1,1,1,1],[1,1,2,4,1,1,
1,2,2,1,1,2,1,2,1],[1,1,3,2,1,1,1,1],[1,1,4,3,2,1,1,1,1],[1,1,4,4,1,2,2,1,1,1,
1],[1,1,1,2,2,1,1,1,1],[1,1,6,1,1,1,2,2,1,1,2,1,2,1],[1,1,2,1,1,1,1,1,1,1],[1,
3,3,5,1,1,3,5,1,1,3,1,1,1,1,1,1,1,1],[1,3,3,3,2,1,1,1,2,3,3,1,1,2,1,1,1,1,1,1,
1,1],[1,3,3,5,1,1,3,5,1,1,3,1,1,1,1,1,1,1,1],[1,1,3,2,5,1,1,3,1,1,1,3,2,2,1,1,
1,1,1,1,1,1],[1,1,3,2,5,1,1,3,1,1,1,3,2,2,1,1,1,1,1,1,1,1],[1,3,1,5,2,1,1,1,3,
3,1,1,2,2,1,1,1,1,1,1,1,1],[1,9,2,2,6,6,1,1],[1,3,2,2,1,3,1,1],[1,3,2,2,1,3,1,
1],[1,5,5,1,1,1],[1,3,6,4,3,1,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,7,4,3,4,4,
1,1,1],[1,3,3,9,1,1,9,9,1,3,3,3,1,3,3,1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,1,3,3,4,
1,3,3,4,1,1,1],[1,9,4,3,1,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,1,6,4,3,4,4,1,
1,1],[1,9,4,3,1,3,4,3,1,1],[1,6,3,4,1,3,3,4,3,1,1],[1,3,1,3,4,1,3,3,4,1,1,1],[
1,1,4,3,4,1,1],[1,6,3,4,1,3,3,4,3,1,1],[1,3,1,3,4,1,3,3,4,1,1,1],[1,9,4,1,3,3,
4,3,1,1],[1,3,4,4,1,6,4,1,1,1],[1,6,3,4,1,3,3,4,3,1,1],[1,1,5,3,6,1,1,6,3,3,6,
1,1,1,2,2,3,1,1,1,2,2,1],[1,6,3,4,1,3,3,4,3,1,1],[1,9,4,1,3,3,4,3,1,1],[1,3,6,
4,1,3,3,4,3,1,1],[1,1,3,3,1,1,3,3,1,1,1,3,1,1,1,1],[1,3,2,1,1,1,1,3,2,1,1,1,1,
1],[1,3,1,3,4,1,3,3,4,1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,6,1,1,3,3,3,2,3,1,1,
1,1],[1,1,2,6,1,1,3,3,1,2,2,3,1,1,1,1],[1,1,6,6,1,1,3,3,1,2,2,3,1,1,1,1],[1,1,
3,3,4,1,3,3,4,1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,4,12,1,6,6,6,12,1,3,3,12,12,
1,3,3,1],[1,7,12,3,4,6,6,8,12,1,2,2,3,3,6,6,12,3,6,6,1],[1,15,2,6,15,1,20,3,4,
12,12,15,3,3,4,6,8,12,1,1,1,6,6,1],[1,15,4,15,20,6,6,15,1,3,12,1,3,3,1],[1,3,
6,4,6,12,1,3,3,4,4,6,6,8,12,12,12,12,12,12,24,24,1,3,3,4,4,6,6,8,12,12,12,12,
12,12,24,24,1,3,3,12,12,1],[1,3,4,1,6,6,6,1,3,3,1,3,3,1],[1,15,4,15,20,2,2,4,
4,15,1,1,2,4,8,1,1,1,2,2,1],[1,7,4,3,4,2,2,8,4,1,1,4,1,4,2,1,1],[1,7,4,3,4,2,
2,4,8,1,1,1,4,4,1,2,1],[1,3,2,4,2,4,1,1,1,4,2,6,4,4,4,4,4,8,1,1,1,2,2,2,2,8,8,
1,1,1,2,2,1],[1,3,2,10,1,1,5,2,2,4,8,4,1,2,1,1,2,2,2,4,4,4,4,8,1,1,1,2,2,4,4,
1],[1,3,4,8,4,1,2,4,2,2,4,8,4,4,4,4,8,1,1,1,2,2,4,4,4,4,4,4,1,1,1,2,2,1],[1,7,
8,4,3,4,2,2,12,4,4,8,1,2,1,2,1,2,2,2,2,4,8,4,4,2,1,2,2,4,4,1],[1,7,4,3,4,4,2,
2,4,4,1,1,2,1,6,4,1,1,1,2,2,1],[1,7,4,3,4,2,2,4,1,1,1,4,4,1,2,1],[1,7,4,3,4,2,
2,4,1,1,1,4,4,1,2,1],[1,3,4,12,1,2,4,4,4,6,2,8,4,12,3,1,1,2,4,12,8,1,1,1,2,2,
1],[1,7,4,3,4,2,2,4,8,1,1,1,4,4,1,2,1],[1,3,2,2,1,1,1,4,6,2,4,1,3,1,2,2,2,1,1,
1,2,2,1],[1,7,4,4,4,3,2,4,2,4,2,2,4,8,4,4,8,1,1,1,2,4,2,4,4,4,4,4,1,1,1,2,2,
1],[1,7,4,3,4,4,6,2,4,1,1,1,2,6,4,1,1,1,2,2,1],[1,7,8,4,3,4,4,4,2,2,8,4,1,1,2,
1,2,4,8,4,8,1,1,1,2,2,1],[1,3,4,4,1,2,4,2,6,4,4,1,1,1,2,2,4,4,1,1,1,2,2,1],[1,
7,4,3,4,6,2,4,4,1,1,3,2,4,4,1,1,1,2,2,1],[1,7,2,4,6,4,3,1,4,3,2,2,6,2,4,12,12,
4,4,8,1,1,1,1,3,1,3,2,2,2,2,8,4,4,4,4,8,1,1,1,1,1,1,1,4,4,1],[1,7,2,6,3,1,4,3,
4,12,12,4,1,2,3,3,2,8,8,1,1,1,2,2,1],[1,7,12,3,4,4,4,2,6,8,12,4,1,3,1,2,4,12,
8,1,1,1,2,2,1],[1,7,4,3,4,2,2,4,8,1,1,1,4,4,2,1,1],[1,3,4,4,1,4,2,2,2,4,4,4,1,
1,2,1,2,2,2,1,1,1,1],[1,3,4,1,8,2,1,3,2,1,2,2,1,1,1,1],[1,7,4,4,3,4,2,6,2,4,4,
2,1,1,1,1,7,4,4,4,1,1,1,1,1,1,1,1],[1,3,4,4,8,1,2,2,4,2,4,4,4,4,4,8,1,1,1,1,1,
2,3,2,2,1,2,6,2,2,2,2,4,1,2,1,2,1,2,2,2,2,1],[1,3,2,8,2,8,1,1,1,2,4,8,2,4,8,4,
4,8,12,8,1,1,1,1,2,4,1,2,1,3,2,2,4,4,2,2,2,2,2,4,8,1,1,1,1,1,2,1,1,2,2,2,1],[
1,7,4,3,4,2,2,4,8,1,1,1,4,4,4,1,1,1,1,1,1,1,1],[1,3,2,2,1,1,1,2,2,4,1,1,1,2,2,
2,2,1,1,1,2,2,1],[1,3,2,4,2,4,1,1,1,4,2,2,4,4,4,4,1,1,1,1,1,2,2,1,2,3,2,4,2,2,
2,4,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,3,8,4,1,4,4,2,8,1,2,1,2,1,2,2,4,1,1,1,2,2,
1],[1,3,4,1,4,2,4,1,1,2,2,1,2,4,2,1,1,1,2,2,1],[1,7,4,8,4,3,2,4,4,2,2,4,16,12,
4,2,4,8,1,1,3,4,2,1,1,8,4,4,4,2,2,2,4,4,4,1,1,1,1,1,1,1,4,4,1],[1,3,4,12,1,4,
4,6,2,2,8,12,4,4,3,1,1,12,2,2,2,4,4,1,1,1,2,2,1],[1,7,4,4,3,4,2,2,2,4,4,4,2,1,
1,2,1,1,1,4,4,4,4,1,1,1,1,1,1,1,1],[1,3,4,4,1,2,2,2,4,4,4,4,1,1,1,4,2,2,1,1,1,
1],[1,3,4,4,4,4,1,2,2,2,2,2,4,8,4,4,4,4,8,1,2,1,1,4,2,4,2,4,2,4,4,1,1,1,2,2,
1],[1,3,4,4,4,1,2,2,2,2,2,2,4,8,4,2,4,8,1,1,1,2,1,1,2,2,4,4,4,4,1,1,1,1,1,1,1,
1],[1,3,4,4,8,1,2,2,2,4,4,4,8,4,4,4,8,1,1,2,1,2,4,2,4,2,4,4,4,1,1,1,2,2,1],[1,
3,8,1,4,2,4,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,3,2,6,1,1,3,2,2,4,4,6,1,1,1,3,1,2,
2,4,4,1,1,1,1,1,1,1,1],[1,3,4,1,2,2,2,4,1,1,2,1,2,2,4,2,1,1,1,2,2,1],[1,3,2,2,
1,1,1,4,2,2,4,4,1,1,1,2,2,4,4,1,1,1,1,1,1,1,1],[1,3,8,4,4,1,2,4,2,8,2,4,8,8,1,
1,1,1,3,2,1,1,2,2,2,2,2,2,4,6,2,1,2,2,1,1,2,2,2,2,1],[1,3,16,1,4,4,2,8,4,8,12,
4,1,3,1,2,2,12,2,4,4,1,1,1,2,2,1],[1,3,4,1,6,2,2,2,4,2,1,1,1,1,3,1,1,1,1,1,1,
1,1],[1,3,4,1,4,2,2,2,1,1,2,1,2,2,2,1,1,1,1],[1,3,4,1,6,2,2,3,1,1,2,2,2,1,1,1,
1],[1,7,2,4,2,4,3,1,4,1,2,2,6,2,4,4,4,2,4,8,1,1,1,1,1,2,1,2,1,2,4,2,4,8,1,1,1,
1,1,1,1,1],[1,7,2,10,3,1,4,5,2,2,12,16,2,1,4,1,3,1,1,8,2,4,2,4,1,1,1,1,1,1,1,
1],[1,3,2,4,2,4,1,1,1,2,6,4,4,4,4,4,4,8,1,1,1,2,2,2,2,4,4,8,1,1,1,2,2,1],[1,3,
8,1,2,4,4,4,4,4,1,1,2,1,2,2,2,1,1,1,1],[1,3,8,4,1,4,2,2,2,2,8,4,2,1,1,2,1,1,1,
4,4,4,4,1,1,1,1,1,1,1,1],[1,3,4,8,1,4,2,2,2,8,2,1,1,1,2,2,2,4,1,1,1,2,2,1],[1,
7,2,2,3,1,4,1,6,2,4,2,1,1,1,2,1,7,2,4,1,1,1,1,1,1,1,1],[1,3,4,4,1,2,2,2,4,4,4,
4,1,2,1,1,2,2,2,1,1,1,1],[1,7,2,2,3,1,4,1,2,2,4,4,2,1,2,1,1,2,1,1,2,2,2,1,1,1,
1,1,1,1,1],[1,3,4,4,1,2,4,2,2,4,4,4,1,1,1,2,2,4,4,1,1,1,1,1,1,1,1],[1,7,4,3,4,
6,6,4,1,1,3,2,4,1,1,1,1],[1,7,2,6,3,1,4,3,4,4,4,4,1,1,1,2,2,2,2,6,2,4,1,1,1,1,
1,1,1,1],[1,3,2,4,6,4,1,1,3,2,2,2,6,4,4,4,4,2,4,8,1,1,1,1,1,1,2,1,2,4,2,2,8,4,
1,1,1,1,1,1,1,1],[1,7,4,4,3,4,2,2,2,6,2,4,2,1,1,1,1,1,1,1,4,4,4,4,1,1,1,1,1,1,
1,1],[1,3,4,4,1,2,2,6,4,1,1,1,4,2,2,1,1,1,1],[1,3,4,1,4,4,2,1,1,2,1,2,2,2,1,1,
1,1],[1,1,2,4,1,3,3,2,2,1,3,3,1,1,1,2,1,2,1,1,1,1,1,1,1,1],[1,1,4,6,2,10,1,1,
1,3,3,4,2,5,8,2,2,8,1,2,2,12,4,6,1,1,1,3,3,4,4,2,1,1,1,1,1,1,2,2,2,2,2,2,2,2,
2,2,4,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,6,4,6,1,1,1,2,1,3,2,1,2,2,2,2,5,2,2,4,
8,6,2,1,1,1,2,1,1,1,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,4,1,1,2,3,2,
2,1,2,1,1,2,1,2,1,1,1,2,1,1,1,1,1,1,1,1],[1,1,4,2,2,6,1,1,1,2,1,1,2,2,5,4,2,2,
4,1,2,2,4,6,1,1,1,1,1,2,2,1,1,1,1,2,1,1,2,2,4,2,1,1,1,1,1,1,1,1],[1,1,2,4,4,4,
1,1,2,2,1,4,2,2,4,1,2,1,1,1,2,1,1,2,1,2,1,1,1,1,1,1,1,1],[1,1,2,2,4,10,1,1,1,
3,1,2,4,2,1,2,2,2,2,5,2,2,8,6,1,1,1,2,2,1,1,1,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,
1,1,1],[1,1,4,6,1,3,2,1,2,2,1,1,1,2,1,2,2,1,1,1,2,1,1,1,1,1,1,1,1],[1,3,5,8,1,
3,4,1,1,2,1],[1,9,2,2,9,6,6,1,1,1],[1,6,9,2,2,9,2,6,6,6,1,6,1,2,1],[1,6,9,2,2,
9,2,6,6,6,1,6,1,2,1],[1,15,4,15,20,12,15,1,4,1,3,1],[1,15,16,15,20,15,8,12,1,
1],[1,3,16,1,6,3,4,1,1],[1,7,2,6,4,3,1,4,3,12,12,4,8,1,3,3,8,1,4,1,1,2,1],[1,
3,12,16,1,4,4,6,8,12,3,12,4,4,4,8,1,1],[1,7,4,3,4,4,4,1,6,1,4,1,1,1],[1,7,12,
4,3,4,6,12,6,4,8,1,3,3,12,1,4,3,1,2,1],[1,7,12,4,3,4,6,6,12,4,8,1,3,3,12,1,4,
3,2,1,1],[1,7,4,3,4,6,6,4,1,3,3,1,4,3,1,1],[1,7,6,6,4,3,3,4,3,6,12,4,4,4,1,3,
6,3,6,1,4,3,1,1,1,1],[1,1,6,6,6,4,3,4,3,6,3,6,6,4,4,4,1,3,3,6,6,1,4,3,1,1,1,
1],[1,7,3,9,4,3,1,9,9,3,3,3,4,4,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,3,16,1,6,3,
4,1,1],[1,1,3,6,9,4,3,1,3,3,3,3,3,6,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,
2,6,6,4,1,3,3,4,6,6,12,4,8,1,3,3,4,4,1,4,1,1,1,1,1],[1,1,18,4,3,3,3,4,6,6,6,4,
8,1,3,3,6,6,1,4,3,1,1,1,1],[1,1,2,4,1,3,3,4,8,1,3,3,4,1,1,1],[1,1,4,3,6,4,1,3,
3,4,3,1,1],[1,3,7,3,6,4,3,1,3,6,3,3,3,3,6,4,4,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[
1,3,1,9,6,4,1,3,3,3,3,3,3,6,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,3,6,9,4,
3,1,3,3,3,3,3,6,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,7,3,9,4,3,1,9,9,3,3,3,
4,4,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,12,4,3,6,4,8,1,3,3,4,3,1,1],[1,3,5,9,
6,1,1,1,1,6,9,9,3,3,6,1,3,3,2,2,1,3,3,3,3,3,3,1,1,3,1,3,1,1,2,2,3,1,1,1,1,1,1,
1,1],[1,3,7,9,4,1,3,3,9,3,3,9,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,3,10,6,4,
1,3,3,9,3,12,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,3,7,9,4,1,3,3,9,3,3,9,4,4,
4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[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],[1,15,12,15,20,6,6,8,12,12,15,2,
2,3,3,6,6,6,12,24,1,3,3,6,6,6,6,1,3,3,1],[1,7,12,3,4,4,6,6,12,8,12,1,2,2,3,6,
3,6,6,6,12,1,3,3,6,6,6,6,1,3,3,1],[1,7,2,12,6,12,3,1,4,3,6,6,18,6,8,12,12,12,
12,12,24,24,1,3,2,2,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,8,8,8,12,12,12,12,12,12,24,
1,2,2,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,1,3,3,6,6,6,6,1],[1,
15,12,15,20,4,4,6,6,8,12,12,15,3,3,6,12,12,12,24,1,1,1,2,3,3,3,3,6,6,6,3,3,3,
6,1],[1,7,8,12,3,4,4,4,8,4,2,6,4,8,8,12,4,1,3,2,2,1,2,8,8,4,12,8,4,8,8,16,1,1,
1,1,2,1,2,1,1,2,2,2,4,2,2,2,4,2,2,1,2,1,1,2,2,2,2,2,1],[1,7,12,3,4,4,4,2,6,8,
12,12,1,3,1,6,4,12,4,8,1,2,1,1,2,2,2,1,1,1,1],[1,7,8,4,3,4,4,4,2,2,8,8,4,8,1,
1,4,2,1,2,4,4,8,4,8,2,1,1,1,2,2,2,1,1,1,1],[1,7,4,4,4,3,2,4,2,4,2,2,4,8,4,8,4,
8,1,1,1,2,4,4,2,4,4,4,4,4,4,2,1,1,1,2,2,2,1,1,1,1],[1,15,8,4,15,20,2,2,12,12,
4,4,8,15,2,1,6,1,2,2,2,2,2,4,24,4,4,8,1,6,1,6,1,2,2,2,2,4,4,2,1,1,1,2,1],[1,7,
4,4,4,3,2,4,2,8,6,2,4,4,8,4,4,4,8,1,1,2,3,2,4,2,8,4,4,4,4,4,4,4,4,8,1,1,1,1,2,
1,1,2,1,4,2,2,2,2,2,2,2,4,2,1,2,1,1,2,2,2,2,2,1],[1,7,4,4,4,3,2,4,2,4,2,2,8,4,
8,4,4,8,1,1,4,1,2,4,2,4,4,4,4,4,4,2,1,1,1,2,2,2,1,1,1,1],[1,7,8,4,3,4,6,2,12,
4,4,4,8,1,2,1,2,3,2,2,2,2,2,4,8,4,4,4,4,1,1,2,1,2,2,2,2,2,4,4,4,4,1,1,1,2,2,
1],[1,7,2,4,6,4,3,1,4,3,2,2,6,2,4,12,12,4,4,8,8,8,1,1,1,1,3,1,3,2,2,2,2,8,4,4,
4,4,4,4,8,8,8,1,1,1,1,1,1,1,2,2,4,4,4,4,1,1,1,2,2,1],[1,7,8,4,3,4,4,2,2,12,8,
4,8,8,1,2,1,4,1,2,4,2,6,2,2,4,8,4,4,1,1,2,2,1,2,2,4,4,2,2,4,4,1,1,2,1,2,1],[1,
7,6,4,10,12,3,3,4,5,4,4,4,2,6,6,2,8,12,12,20,12,12,4,12,12,24,24,1,1,3,1,3,1,
5,4,4,4,2,6,2,2,6,2,8,8,12,4,4,12,4,12,12,4,12,12,4,4,4,8,24,24,8,8,1,1,1,1,1,
1,1,1,1,3,3,2,2,2,2,2,2,2,2,2,2,12,12,4,4,8,8,1,1,1,1,1,1,1,2,2,2,2,1],[1,7,
12,3,4,4,4,2,6,8,8,12,4,1,3,4,1,2,4,12,4,8,1,2,1,1,2,2,2,1,1,1,1],[1,7,8,12,3,
4,4,4,6,6,8,8,12,1,2,2,3,2,3,6,6,2,12,8,4,4,8,1,3,1,2,2,6,6,2,4,4,1,1,1,2,2,
1],[1,7,4,3,4,4,2,2,4,4,8,1,1,2,1,6,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,7,2,4,6,4,
3,1,4,3,2,2,6,2,4,12,12,4,4,8,1,1,1,1,3,1,3,2,2,2,2,8,4,4,4,4,4,4,8,1,1,1,1,1,
1,1,2,2,4,4,4,4,1,1,1,2,2,1],[1,7,2,4,6,4,3,1,4,3,2,2,6,10,4,12,12,4,8,4,8,1,
1,1,5,3,1,3,4,2,2,2,2,8,4,4,4,4,16,8,1,2,2,1,1,1,1,1,1,4,4,4,4,1,1,2,1,2,1],[
1,7,4,3,4,4,2,2,4,4,8,1,1,2,1,6,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,7,8,12,3,4,4,
4,2,6,12,4,8,12,4,8,8,1,2,3,2,1,2,2,2,2,2,4,12,8,4,4,4,8,8,8,1,1,2,1,2,2,2,2,
2,4,4,4,4,1,1,1,2,2,1],[1,7,4,4,12,3,2,4,2,4,6,6,8,4,8,12,4,8,8,1,2,2,3,3,2,4,
6,6,2,4,12,4,4,4,4,8,8,1,3,1,6,2,2,6,2,4,4,1,1,1,2,2,1],[1,7,12,3,4,10,6,8,12,
4,1,2,2,3,5,2,6,6,12,4,4,1,1,3,6,6,2,2,2,4,4,1,1,1,2,2,1],[1,7,20,3,4,4,4,6,
10,8,8,20,4,8,1,2,2,5,3,2,6,6,12,12,4,8,8,8,1,1,3,6,2,2,6,2,4,4,1,1,1,2,2,1],[
1,7,4,3,4,6,2,8,4,4,8,1,1,4,3,2,4,4,4,1,2,1,1,2,2,2,1,1,1,1],[1,15,4,15,20,2,
2,4,4,8,15,1,1,2,4,4,4,8,1,1,1,2,2,2,2,1,1,1,1],[1,7,4,8,4,4,3,2,4,2,4,2,2,12,
4,4,8,4,4,8,8,8,1,2,1,2,1,2,4,2,2,2,2,2,4,4,8,4,4,4,4,4,4,8,8,2,1,1,1,2,2,2,2,
2,4,4,4,4,1,1,1,2,2,1],[1,15,2,4,6,4,15,1,20,3,4,2,2,6,6,4,12,12,4,4,4,8,15,1,
1,3,3,1,3,4,2,2,6,2,2,2,8,4,4,12,4,12,8,8,8,1,1,1,3,1,1,3,1,1,1,1,6,2,2,2,2,6,
2,2,2,2,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,7,8,8,4,3,4,4,4,2,2,12,4,8,4,8,1,2,1,
2,2,1,2,2,2,2,2,4,8,4,4,4,8,4,8,1,2,1,1,2,2,2,2,2,4,4,4,4,1,1,1,2,2,1],[1,7,2,
4,14,4,3,1,4,7,4,6,2,6,2,4,12,20,4,4,4,8,1,1,1,1,5,3,3,2,2,2,2,2,2,8,4,4,4,4,
12,4,8,4,12,8,8,8,1,1,1,1,1,1,1,1,3,3,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,1,1,
1,1,2,2,2,2,1],[1,7,4,3,4,6,2,4,12,8,1,1,3,6,4,4,4,1,1,2,1,2,2,2,1,1,1,1],[1,
15,4,15,20,2,2,4,4,8,15,1,1,2,4,4,4,8,1,1,1,2,2,2,2,1,1,1,1],[1,7,8,4,3,4,4,4,
2,2,8,4,8,8,1,1,2,1,4,2,4,4,8,4,8,2,1,1,1,2,2,2,1,1,1,1],[1,15,4,12,4,15,2,20,
6,8,2,2,4,24,24,4,4,4,8,15,1,6,1,6,8,2,12,16,4,4,4,4,4,24,4,4,8,8,8,1,2,2,1,1,
1,1,1,1,12,2,2,2,12,2,2,2,2,2,8,8,2,1,1,1,2,2,2,2,2,1],[1,3,4,4,16,1,2,4,4,4,
2,8,2,4,4,8,4,12,4,4,4,8,1,3,1,1,1,2,3,2,2,2,1,2,6,2,12,2,2,2,2,2,4,4,4,4,4,8,
1,1,1,2,1,1,2,1,2,1,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,6,8,6,16,1,3,3,4,
4,2,8,8,2,4,8,12,16,12,12,16,12,4,4,12,24,24,1,1,3,3,4,4,2,8,1,2,1,3,6,2,4,8,
4,12,2,2,12,2,12,2,2,2,12,2,12,4,12,4,4,4,4,4,4,4,4,4,4,24,24,1,1,3,3,1,1,1,1,
1,2,1,1,2,2,2,12,2,2,12,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,3,
2,4,2,4,1,1,1,4,8,2,2,4,4,4,4,1,1,3,1,1,2,2,1,2,2,3,2,4,2,2,2,4,2,2,2,2,1,1,1,
1,1,1,2,1,1,1,1,1,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,7,2,4,6,4,3,1,4,3,8,2,2,6,
2,4,4,4,4,8,4,8,1,1,1,1,1,1,1,2,4,2,8,2,4,4,4,2,6,2,4,4,8,8,4,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,3,4,1,1,2,1,1,1,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,3,4,
4,8,8,1,2,4,2,4,2,4,4,4,8,4,4,4,4,4,4,4,8,8,1,1,1,1,2,2,1,2,3,2,2,1,2,4,6,2,2,
4,2,2,2,4,2,4,4,4,4,4,4,4,1,1,1,2,1,1,1,2,2,1,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,
1],[1,7,4,12,4,3,2,4,6,4,2,2,4,4,16,16,4,8,4,8,1,1,2,4,1,4,2,4,2,2,2,8,4,4,4,
4,4,6,6,6,4,12,4,8,4,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,3,2,1,1,3,2,2,1,1,4,4,
4,4,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1],[1,3,2,4,10,4,1,1,5,4,2,2,4,4,4,8,4,4,1,1,
2,1,1,1,2,2,2,1,2,3,2,4,2,2,2,4,4,2,2,4,2,2,4,4,8,1,1,1,1,1,1,1,2,1,1,2,1,1,2,
2,2,2,2,2,2,2,2,4,2,2,2,2,4,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,3,2,8,2,8,1,1,1,4,2,
4,8,2,4,8,4,4,4,8,4,4,12,8,1,1,1,1,2,2,4,1,2,1,2,3,2,2,4,4,2,2,2,2,2,2,2,4,4,
4,8,8,1,1,1,1,1,1,1,1,1,2,2,1,2,1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,8,12,4,1,6,
8,2,8,2,12,8,8,1,1,3,3,3,2,1,1,2,2,2,2,2,2,4,14,2,2,2,12,1,3,3,2,2,1,1,1,1,2,
2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,8,4,4,1,2,4,4,2,8,2,4,4,8,8,1,1,1,1,3,2,2,
1,2,1,2,2,2,2,2,2,4,4,6,2,2,2,1,1,1,2,2,1,1,2,1,1,2,2,2,2,2,2,2,2,2,1,1,1,1,1,
1,1,1],[1,3,18,5,8,1,9,9,3,18,24,9,4,1,1,2,3,3,4,3,3,6,1,1],[1,3,3,9,5,8,1,9,
9,1,3,3,12,3,4,1,1,2,3,3,4,1,3,1,1],[1,3,6,5,8,3,1,3,4,3,6,3,4,1,1,2,3,3,4,1,
3,1,1],[1,6,6,9,2,2,9,9,9,2,2,6,6,6,6,9,1,6,6,1,2,2,1,1,1,1],[1,15,15,20,16,
15,1,1],[1,7,12,16,3,4,6,6,8,12,16,1,2,2,3,3,6,6,12,4,8,3,6,6,4,8,8,1,1],[1,
15,12,16,15,20,18,18,16,15,3,9,36,8,12,1,9,9,12,3,1,1],[1,15,6,18,4,15,3,20,9,
12,36,36,4,12,12,15,9,9,12,18,24,36,1,4,12,12,1,3,3,18,18,1,3,3,4,3,1,3,3,1],[
1,15,2,6,4,15,1,20,3,4,12,12,12,8,15,3,3,4,6,8,12,1,4,4,4,1,1,1,6,6,3,2,4,1,1,
1,1,1],[1,3,12,12,16,1,4,4,6,6,6,8,12,12,12,16,3,3,3,12,6,6,6,12,12,4,4,4,8,1,
3,3,6,6,4,4,4,3,1,1],[1,7,8,12,12,4,3,4,4,6,6,6,12,24,12,12,6,12,24,4,4,4,8,8,
1,3,3,6,6,3,3,8,12,12,12,6,6,6,12,12,12,1,4,4,4,8,8,1,3,3,3,3,3,3,12,12,1,1,1,
2,2,4,3,1,1,1,2,2,1],[1,7,2,18,4,3,1,4,9,6,6,12,24,6,4,8,8,1,6,3,3,3,3,8,6,12,
6,12,1,4,4,4,1,3,3,3,3,3,3,2,1,2,4,3,1,1,1,1],[1,3,24,16,1,4,4,6,12,12,8,12,
12,16,3,3,3,6,6,12,6,12,12,4,4,4,8,1,3,3,6,6,4,4,4,3,1,1],[1,3,12,16,1,12,6,
16,3,3,6,3,6,6,4,1,3,3,4,3,1,1],[1,7,6,6,4,3,3,4,3,10,6,12,6,4,4,4,1,3,3,6,3,
9,6,12,1,4,4,4,1,3,3,3,3,3,3,1,1,1,4,3,1,1,1,1],[1,7,12,12,4,3,4,6,10,6,12,12,
6,4,8,8,1,3,3,3,9,12,12,12,1,4,4,4,1,3,3,3,3,3,3,2,1,2,4,3,1,1,1,1],[1,3,12,
16,1,6,6,6,16,3,3,3,6,6,6,4,1,3,3,4,3,1,1],[1,3,6,4,6,12,16,1,3,3,4,4,6,6,8,
12,12,12,12,12,12,24,24,16,1,3,3,4,4,6,6,8,12,12,12,12,12,12,24,24,4,4,4,8,1,
3,3,12,12,4,4,4,8,1,1,1],[1,15,4,16,15,20,6,6,16,15,1,3,12,8,12,1,3,3,4,1,1,
1],[1,3,4,12,16,1,6,6,6,12,16,1,3,3,12,12,4,1,3,3,4,1,1,1],[1,15,12,16,15,20,
6,6,12,12,16,15,3,3,6,12,24,8,12,1,3,3,6,6,4,8,3,1,1],[1,15,12,4,15,20,6,6,12,
12,12,8,15,3,3,6,12,24,1,4,4,4,1,3,3,6,6,3,2,4,3,1,1,1,1],[1,3,4,16,1,6,6,6,
16,1,3,3,4,1,3,3,4,1,1,1],[1,1,8,6,6,18,4,1,3,3,3,3,4,6,15,12,6,6,12,3,6,6,12,
12,18,4,4,4,8,8,1,3,3,3,3,4,4,6,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,12,6,1,4,4,4,
8,8,1,3,3,3,3,3,3,6,6,6,6,1,1,1,1,1,1,1,4,3,1,1,1,1,1,1,1,1],[1,1,2,12,4,1,3,
3,6,6,4,8,8,1,3,3,3,3,3,6,3,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,10,15,10,
5,15,15,6,10,10,10,15,6,5,10,6,5,1,1],[1,10,15,10,5,15,15,6,10,10,10,15,6,5,
10,6,5,1,1],[1,10,15,10,5,15,15,6,10,10,10,15,6,5,10,6,5,1,1],[1,15,2,12,6,12,
15,1,20,3,4,6,6,18,18,8,12,12,12,12,12,12,24,24,15,3,2,2,3,9,3,3,3,4,6,6,6,6,
6,6,6,6,6,6,6,6,8,8,8,12,12,36,12,12,12,12,24,24,24,1,1,1,2,2,9,3,3,9,3,3,3,3,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,1,1,3,3,3,3,3,3,3,3,
3,6,6,6,6,6,6,6,6,6,1,1,1,3,3,3,3,1],[1,15,6,4,18,12,15,3,20,9,4,12,4,6,6,6,6,
8,12,12,36,36,12,12,12,12,24,24,15,1,3,3,9,3,9,4,4,12,6,6,18,6,6,6,24,8,12,12,
12,12,12,12,12,12,12,12,12,12,36,12,12,24,24,24,24,24,24,1,1,1,3,3,2,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,18,6,6,6,6,6,6,18,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,24,
24,1,3,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
1,3,3,3,3,3,3,6,6,1],[1,7,4,8,4,4,3,2,4,2,8,6,2,12,8,4,8,4,12,4,8,8,8,1,2,1,4,
3,2,4,2,6,2,8,2,4,2,4,4,4,8,4,4,4,4,4,4,4,4,8,8,8,1,1,1,1,2,2,2,1,1,2,1,2,4,2,
2,2,2,4,2,6,2,2,2,2,4,2,4,4,4,4,4,4,1,1,1,1,2,1,2,1,1,2,2,2,2,2,2,2,2,2,2,1,1,
1,1,1,1,1,1],[1,15,20,15,20,4,4,10,10,8,8,20,20,8,15,2,2,5,5,10,6,6,20,12,4,
12,4,8,8,40,1,1,1,2,3,5,3,5,6,10,2,6,2,6,10,4,4,4,4,1,5,1,1,3,3,3,2,6,2,2,2,1,
1,1,1,1,1,1,1],[1,15,2,4,6,4,15,1,20,3,4,2,2,6,6,4,12,12,4,4,4,8,8,8,15,1,1,3,
3,1,3,4,2,2,6,2,2,2,8,4,4,12,4,4,4,4,12,4,8,8,8,8,8,1,1,1,3,1,1,3,1,1,1,1,6,2,
2,2,2,2,2,2,6,2,2,2,2,2,4,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,1,1,
1,1,1,1,1,1],[1,7,6,12,10,20,3,3,4,5,4,4,4,6,10,18,6,8,8,12,20,20,12,20,4,20,
12,8,8,24,40,24,1,3,2,2,5,3,3,3,5,4,4,4,6,2,10,6,6,6,2,6,6,6,10,6,8,8,8,8,12,
12,12,12,12,12,4,4,12,12,12,12,12,12,4,4,4,8,8,8,8,8,8,8,8,8,8,8,24,40,8,8,1,
1,2,2,1,3,3,1,3,3,3,3,5,6,6,6,6,2,2,2,6,2,2,2,6,2,6,2,2,6,6,2,2,2,6,4,4,4,12,
4,4,12,4,4,12,12,4,4,12,12,4,12,12,8,8,8,8,8,8,1,1,1,1,1,3,1,1,1,3,1,2,6,6,6,
2,2,2,2,2,2,2,6,2,2,2,2,2,2,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,7,2,4,14,4,3,
1,4,7,4,6,2,6,10,4,12,20,4,12,4,8,8,8,1,1,1,5,5,3,3,6,2,2,2,2,2,8,4,4,4,4,4,4,
12,4,8,4,12,24,8,8,8,8,1,1,2,1,2,1,1,1,1,1,3,3,1,2,2,2,6,2,2,2,2,2,4,2,2,2,4,
4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,2,1,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,7,2,12,14,
12,3,1,4,7,4,10,6,18,6,8,12,12,20,12,4,12,24,24,1,3,2,2,3,3,5,5,3,6,2,6,6,6,6,
2,6,6,6,6,6,8,8,8,12,12,12,12,4,20,12,4,4,8,4,4,12,8,24,8,1,1,2,2,1,3,1,3,3,3,
5,3,3,6,6,2,6,2,6,2,6,2,2,6,6,2,2,2,6,6,2,2,2,2,6,4,4,4,12,12,12,12,12,4,12,4,
4,4,4,4,4,4,4,1,1,1,3,1,1,1,1,1,1,3,2,6,6,2,6,2,2,2,6,2,2,2,2,2,2,2,2,2,4,4,4,
4,1,1,1,1,1,1,1,2,2,2,2,1],[1,7,8,20,3,4,4,4,8,4,6,10,12,8,8,8,20,4,8,1,2,2,5,
6,2,3,2,6,6,8,8,12,12,4,8,4,4,8,8,8,8,16,1,1,3,1,2,1,2,3,1,2,2,6,2,2,8,2,2,6,
2,2,4,2,6,4,4,4,4,1,3,1,3,1,2,1,1,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,7,6,4,
10,12,3,3,4,5,4,4,4,2,6,6,10,8,12,12,20,12,12,12,12,12,24,24,1,1,3,5,3,1,5,4,
4,4,6,6,2,2,6,2,8,8,12,4,4,12,4,12,12,4,12,12,4,4,4,4,4,16,8,24,24,8,8,1,1,2,
2,1,1,1,1,1,1,1,3,3,2,2,2,4,2,2,2,2,2,2,2,6,2,12,12,4,4,4,4,8,8,1,1,1,1,1,1,1,
1,1,2,1,1,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,15,4,12,12,15,2,20,6,8,6,6,8,4,24,
24,12,12,4,8,8,15,2,2,3,6,3,6,8,6,6,6,12,16,4,12,4,4,4,4,24,4,4,4,8,8,24,8,8,
1,2,2,3,1,1,3,1,1,12,2,6,2,6,2,2,6,12,2,2,2,2,6,4,4,4,4,8,8,1,2,3,1,1,1,1,3,2,
2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,15,4,8,12,4,15,2,20,6,8,2,2,12,12,4,24,24,
4,4,4,8,8,8,15,2,1,6,6,1,6,8,2,2,2,12,2,2,16,4,4,24,4,4,4,4,4,4,4,24,4,4,8,8,
8,8,8,1,2,2,6,1,1,6,1,1,1,1,12,2,2,2,2,2,12,2,2,2,2,2,2,2,4,4,4,4,4,4,8,8,2,2,
1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,15,8,12,15,20,4,4,6,6,
12,12,8,12,12,8,8,15,2,3,6,3,2,6,2,2,2,12,12,24,4,4,12,4,4,8,24,8,1,1,1,2,6,3,
3,3,6,3,2,2,6,2,6,2,6,4,4,4,4,4,4,2,3,1,1,1,1,3,3,6,2,2,2,2,2,1,1,1,1,1,1,1,
1],[1,7,4,4,12,3,2,4,2,8,10,6,12,8,4,8,12,4,4,8,8,1,2,2,3,6,5,2,4,2,6,6,8,4,4,
4,12,4,4,4,4,4,4,8,8,8,1,1,3,1,2,1,3,2,1,6,2,4,6,2,6,2,2,2,2,2,2,8,2,4,4,4,4,
1,3,3,1,1,2,1,1,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,7,8,8,12,3,4,4,4,8,4,2,
6,12,8,8,8,12,12,8,8,1,2,3,4,2,1,2,6,2,8,2,2,8,4,12,8,4,4,4,4,8,4,8,8,8,8,16,
1,1,1,2,1,2,1,2,2,1,1,2,2,2,2,2,4,2,4,2,6,2,2,4,2,2,4,4,4,4,4,4,1,1,1,2,1,2,1,
1,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,15,8,32,15,20,24,15,16,2,8,16,24,
1,6,8,2,2,1],[1,3,9,9,18,5,8,3,1,3,18,9,9,9,9,18,5,3,3,18,18,24,3,3,9,9,9,9,9,
4,1,1,2,3,3,3,3,3,3,18,6,9,4,8,1,1,3,3,3,3,3,3,3,3,6,1,4,3,3,1,1,1,1],[1,15,
20,15,20,10,10,20,20,16,15,5,5,10,20,40,16,1,5,5,10,10,5,1,1],[1,7,12,16,3,4,
18,6,8,12,12,16,1,2,2,3,9,6,6,6,12,12,12,4,8,16,3,3,3,6,6,6,6,6,12,12,4,8,8,1,
3,3,6,6,4,8,3,1,1],[1,7,2,12,6,12,16,3,1,4,3,6,6,18,6,8,12,12,12,12,12,24,24,
16,32,1,3,2,2,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,8,8,8,12,12,12,12,12,12,24,4,8,16,
1,2,2,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,4,8,8,8,8,8,1,3,3,6,6,
6,6,4,8,8,1,1,1],[1,15,12,64,15,20,4,4,6,6,8,12,12,15,3,3,6,12,12,12,24,32,16,
16,48,32,1,1,1,2,3,3,3,3,6,6,6,3,3,3,6,4,4,4,8,1,1],[1,15,12,16,15,20,6,6,8,
12,12,48,15,2,2,3,3,6,6,6,12,24,4,16,8,1,3,3,6,6,6,6,12,8,8,1,3,3,4,1,1,1],[1,
7,12,12,12,16,3,6,4,6,12,6,6,8,12,24,12,12,24,24,16,16,16,1,2,2,3,3,6,12,6,6,
6,12,12,12,12,12,12,24,24,4,8,16,3,3,3,6,6,6,6,6,12,12,4,4,4,8,8,8,8,1,3,3,6,
6,4,8,3,1,1],[1,7,36,16,3,4,12,12,6,18,8,24,36,12,24,16,32,1,2,2,9,3,6,6,6,12,
36,12,24,24,24,4,8,16,3,3,3,6,6,6,6,6,12,12,4,8,8,8,8,8,1,3,3,6,6,4,8,3,1,1],[
1,7,24,12,16,3,4,12,12,6,6,8,24,12,16,32,1,2,2,3,6,3,6,6,6,12,24,12,12,24,4,8,
16,3,3,3,6,6,6,6,6,12,12,8,4,8,8,1,3,3,6,6,4,8,3,1,1],[1,7,12,16,3,4,4,6,6,12,
8,12,16,1,2,2,3,6,3,6,6,6,12,4,8,16,1,3,3,6,6,6,6,4,8,8,1,3,3,4,1,1,1],[1,15,
8,24,12,4,15,4,20,12,16,6,6,12,48,48,12,12,12,24,4,12,12,8,8,15,3,12,3,12,16,
6,24,32,12,12,12,12,12,48,12,12,24,24,24,1,4,4,12,4,12,4,4,8,8,1,4,4,3,3,3,3,
3,3,24,6,6,6,24,6,6,6,6,6,24,24,1,3,3,4,2,2,4,4,4,4,4,4,4,3,3,3,6,6,6,6,6,1,1,
1,1,3,1,3,2,2,4,3,1,1,1,1,1,1,1,1],[1,15,16,12,16,15,20,6,6,24,24,12,12,24,16,
16,16,15,4,3,12,3,6,6,6,6,6,12,48,12,12,24,8,12,16,1,12,3,12,3,6,6,6,6,12,12,
4,4,12,8,4,3,3,3,6,1,4,3,1,1,1,1],[1,3,6,16,6,24,16,1,3,3,4,4,6,12,12,6,12,8,
12,24,12,12,24,12,12,12,36,24,24,16,16,16,1,3,3,3,4,4,6,12,3,6,3,9,6,6,12,8,
12,12,6,6,12,6,12,6,6,6,12,6,12,12,12,12,12,12,12,12,12,12,12,12,12,24,24,4,4,
4,8,16,1,3,3,3,3,3,3,3,3,6,3,3,6,6,6,12,6,6,12,6,6,6,6,6,6,6,6,12,12,12,12,4,
4,4,4,4,4,4,4,4,8,1,3,3,3,3,3,3,6,6,6,6,1,4,4,4,3,1,1,1,1],[1,3,16,12,12,16,1,
6,12,6,12,6,12,24,24,16,16,16,1,3,3,3,9,6,3,3,6,6,6,6,6,6,12,18,6,6,6,12,4,16,
1,3,3,6,6,3,3,3,3,6,6,6,6,6,6,6,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,15,6,
12,18,20,15,3,20,9,4,12,4,10,10,18,18,8,8,12,20,36,36,20,20,20,12,8,8,24,40,
24,15,3,2,2,5,9,9,5,9,4,4,12,6,10,10,6,6,6,18,6,10,6,10,10,24,8,8,8,12,20,20,
12,36,12,4,4,12,12,12,20,12,12,12,12,4,36,4,12,12,8,8,8,40,8,8,8,40,8,8,8,8,
24,40,24,24,1,1,1,3,3,2,2,2,9,3,5,3,5,3,9,3,5,5,5,3,3,5,6,6,18,6,2,6,2,10,6,6,
10,10,2,6,10,6,18,6,6,2,10,6,6,6,6,10,6,6,10,10,6,4,4,4,4,12,4,4,4,12,4,4,4,
12,20,4,4,12,12,4,20,4,12,4,12,4,4,4,4,12,4,8,24,8,8,8,24,1,1,3,3,1,2,5,3,1,3,
3,3,3,5,1,1,3,1,3,3,5,3,3,3,5,5,3,3,2,2,6,6,6,6,2,6,2,2,6,2,10,2,2,6,2,2,6,2,
6,6,2,6,2,2,10,6,2,2,6,2,6,2,10,6,6,6,6,10,2,2,4,4,4,4,4,4,4,4,1,1,1,1,3,1,1,
1,3,3,1,1,1,3,3,1,1,1,1,3,1,1,1,1,1,1,1,1,5,1,3,1,1,1,3,2,2,2,6,2,6,2,2,2,2,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,15,36,8,32,15,20,18,18,36,36,24,48,96,15,9,
9,18,36,72,16,2,8,16,24,24,24,1,9,9,18,18,16,6,12,24,24,48,9,8,2,2,6,6,8,6,6,
1,1],[1,15,6,18,8,32,15,3,20,9,12,36,36,4,24,12,24,15,9,9,12,18,24,36,16,2,8,
16,24,12,12,12,12,1,3,3,18,18,16,1,3,6,4,6,12,3,8,2,2,3,3,3,3,4,4,1,3,1,1],[1,
15,12,8,32,15,20,18,18,24,16,48,15,3,9,36,16,2,8,16,24,1,9,9,16,6,12,12,3,8,2,
2,1,3,1,1],[1,15,20,15,20,10,10,20,20,40,16,15,5,5,10,20,20,20,40,16,1,5,5,10,
10,10,10,16,5,5,5,5,1,1,1],[1,45,20,20,15,15,45,36,60,60,45,10,36,15,15,10,15,
15,10,6,6,1],[1,45,20,20,15,15,45,36,60,60,45,10,36,15,15,10,15,15,10,6,6,1],[
1,7,2,12,30,12,16,3,1,4,15,12,18,6,18,6,8,12,12,36,12,12,12,24,24,16,32,32,1,
3,2,2,3,3,9,9,3,6,6,6,6,6,6,6,6,6,6,6,6,8,8,8,12,12,12,12,12,36,12,12,12,24,
12,12,36,24,24,24,4,8,16,16,16,3,1,2,2,3,3,3,3,3,3,9,9,3,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
8,4,8,8,8,8,8,16,3,1,3,3,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,
12,12,12,4,4,4,8,8,8,8,1,3,3,3,3,3,3,6,6,6,6,1,4,8,3,1,1,1,1],[1,15,2,12,6,12,
16,15,1,20,3,4,6,6,18,18,8,12,12,12,12,12,12,24,24,48,32,15,3,2,2,3,9,3,3,3,4,
6,6,6,6,6,6,6,6,6,6,6,6,8,8,8,12,12,36,12,12,12,12,24,24,24,4,16,8,16,16,1,1,
1,2,2,9,3,3,9,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,
12,12,8,8,8,8,8,16,1,1,3,3,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,4,4,4,8,8,1,1,1,3,
3,3,3,1,4,1,1,1,1,1],[1,7,14,12,18,36,16,3,7,4,9,12,12,12,6,18,18,6,8,24,36,
36,36,12,36,12,36,36,24,24,24,72,72,16,16,16,32,32,1,3,2,2,9,3,3,3,9,12,12,12,
6,6,18,6,6,6,6,6,6,6,18,6,8,8,24,8,36,12,12,36,12,36,12,12,12,36,12,36,12,36,
12,12,12,24,24,24,24,24,24,24,24,24,24,24,72,72,24,24,4,8,16,16,16,32,32,3,1,
2,2,3,3,3,3,3,3,3,9,9,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,36,
12,12,36,12,12,12,12,12,12,12,12,12,12,12,24,24,24,24,24,24,4,4,4,8,8,8,8,8,8,
8,8,8,8,16,1,3,3,3,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,
12,4,4,4,8,8,8,8,8,8,8,8,8,8,1,3,3,3,3,3,3,6,6,6,6,1,4,8,3,1,1,1,1],[1,15,12,
36,12,16,15,6,20,18,24,6,6,8,12,72,72,12,12,12,24,24,16,48,48,15,2,2,3,18,3,
18,24,6,6,6,36,48,12,12,12,12,12,12,72,12,12,12,24,24,24,24,24,4,16,8,48,48,1,
6,6,3,3,3,3,3,3,36,6,6,6,6,6,6,6,36,6,6,6,6,6,12,12,12,12,24,24,4,12,12,16,8,
8,8,8,1,6,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,4,12,12,8,8,1,3,3,3,3,3,3,1,4,3,1,1,1,
1],[1,15,36,16,15,20,12,12,18,18,8,24,36,36,24,48,32,15,2,2,9,9,18,6,6,36,36,
12,36,12,24,24,72,4,16,8,16,16,1,3,3,6,9,9,9,9,6,18,6,6,6,18,18,12,12,12,12,
12,8,8,8,8,8,16,1,9,3,3,9,9,3,6,18,6,6,6,4,4,4,8,8,1,3,3,3,3,3,3,1,4,3,1,1,1,
1],[1,15,6,4,18,12,64,15,3,20,9,4,12,4,6,6,6,6,8,12,12,36,36,12,12,12,12,24,
24,64,15,1,3,3,9,3,9,4,4,12,6,6,18,6,6,6,24,8,12,12,12,12,12,12,12,12,12,12,
12,12,36,12,12,24,24,24,24,24,24,32,16,16,48,32,1,1,1,3,3,2,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,18,6,6,6,6,6,6,18,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,24,24,16,16,
16,32,1,3,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,4,4,4,8,1,3,3,3,3,3,3,6,6,4,4,4,8,1,1,1],[1,7,12,12,12,16,3,6,4,6,16,18,6,
12,8,12,24,12,12,12,24,24,16,16,16,1,2,2,3,6,9,6,12,6,6,6,12,12,12,12,12,12,
12,12,12,12,12,24,24,24,4,8,16,16,16,3,1,3,3,6,3,3,6,3,6,6,12,6,6,6,6,6,6,6,6,
6,12,6,12,12,12,12,4,4,4,8,8,8,8,16,1,3,3,3,3,6,3,3,6,6,6,6,6,6,6,6,6,4,4,4,8,
8,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,15,24,12,64,15,20,4,4,6,6,36,36,8,12,12,24,
24,64,15,6,3,18,3,6,6,6,6,6,12,12,72,12,12,12,12,12,24,24,24,32,16,16,48,32,1,
1,1,2,18,3,3,3,18,3,6,6,6,6,6,6,6,12,12,12,12,12,12,16,16,48,6,3,3,3,3,3,3,3,
6,6,6,6,6,6,4,4,4,8,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,7,24,36,16,3,4,12,12,16,12,
6,18,12,8,24,24,36,12,24,16,32,32,1,2,2,9,6,6,3,6,6,6,12,24,12,36,12,24,12,12,
24,24,24,24,48,4,8,16,16,16,3,1,3,3,6,3,6,3,3,6,6,6,6,6,12,6,6,6,6,6,12,6,6,
12,12,12,12,8,4,8,8,8,8,8,16,1,3,3,3,3,6,3,3,6,6,6,6,6,6,6,6,6,4,4,4,8,8,1,3,
3,3,3,3,3,1,4,3,1,1,1,1],[1,15,36,64,15,20,4,4,18,18,24,8,36,36,24,64,15,6,6,
9,9,18,18,18,36,12,12,12,12,24,24,72,32,16,16,48,32,1,1,1,2,3,9,3,9,18,18,6,
18,6,6,18,12,12,12,12,16,16,16,32,3,9,3,3,3,3,9,6,6,6,6,6,4,4,4,8,3,1,3,3,3,3,
3,4,4,4,3,1,1],[1,15,24,36,8,32,15,20,18,18,36,36,36,36,72,24,32,48,96,96,15,
6,9,18,9,18,18,18,18,18,36,72,36,36,72,16,2,8,16,24,24,24,96,1,18,9,18,9,18,
18,18,18,36,36,16,32,6,12,24,24,24,24,48,6,9,9,9,18,8,16,2,2,6,6,24,9,8,2,6,6,
6,1,6,1,2,1],[1,15,12,36,36,8,32,15,6,20,18,24,18,18,36,72,72,36,36,36,72,8,
24,24,48,48,96,15,9,18,9,18,24,18,36,48,36,36,36,36,36,72,36,36,72,72,72,16,2,
8,16,24,24,24,24,24,24,24,48,48,1,6,6,9,9,9,9,9,9,36,18,18,18,36,18,18,18,18,
18,72,72,16,32,2,6,6,8,12,12,24,24,24,24,24,24,24,48,6,9,9,9,18,18,18,18,18,8,
16,2,2,6,6,6,6,6,6,12,12,24,9,8,8,8,2,6,6,6,6,6,6,6,1,8,6,1,2,1],[1,15,36,8,
32,15,20,18,18,36,36,72,24,48,96,15,9,9,18,36,36,36,72,16,2,8,16,24,24,24,1,9,
9,18,18,18,18,16,6,12,24,24,48,9,9,9,8,16,2,2,6,6,9,8,6,6,1,1,1],[1,15,15,45,
20,20,15,15,45,45,45,45,45,36,20,20,60,60,60,60,15,15,45,45,45,45,45,10,36,15,
15,60,60,45,10,20,20,36,15,15,15,15,15,15,10,10,10,15,15,6,6,10,6,6,1,1],[1,
15,15,45,20,20,15,15,45,45,45,45,45,36,20,20,60,60,60,60,15,15,45,45,45,45,45,
10,36,15,15,60,60,45,10,20,20,36,15,15,15,15,15,15,10,10,10,15,15,6,6,10,6,6,
1,1],[1,15,14,12,42,36,16,15,7,20,21,12,28,12,18,18,18,18,8,24,36,36,84,84,36,
36,36,36,24,24,24,72,72,16,48,48,32,32,15,3,2,2,9,9,21,9,21,12,12,28,6,18,18,
6,6,6,42,6,18,6,18,18,56,8,24,8,36,36,36,36,36,36,12,12,12,36,36,36,36,12,36,
36,12,84,12,36,36,24,24,24,72,24,24,24,72,24,24,24,24,72,72,72,72,4,16,8,16,
48,16,48,16,16,32,32,1,3,3,7,7,2,2,6,9,9,9,9,9,9,9,9,9,9,9,9,9,9,6,6,42,6,6,6,
6,18,18,6,18,18,6,18,18,6,42,6,18,6,18,18,6,6,18,18,18,18,18,18,6,12,12,12,12,
36,12,12,12,36,12,12,12,12,36,12,12,12,12,12,36,12,12,12,36,12,12,12,12,36,12,
24,72,24,24,24,72,4,12,12,16,8,8,8,8,8,8,8,8,8,8,16,16,16,16,16,16,3,1,7,3,3,
6,9,3,3,9,9,9,3,9,3,3,9,3,9,9,9,9,9,9,9,9,9,3,6,6,18,6,6,18,6,6,6,6,18,6,18,6,
6,18,6,6,18,6,18,6,6,18,6,6,18,18,6,6,18,6,18,6,18,18,6,18,18,18,6,6,12,12,12,
12,12,12,12,12,4,4,4,4,12,4,12,8,8,8,8,8,8,8,8,8,8,8,8,16,1,1,1,3,9,3,3,3,3,9,
3,3,3,3,9,3,3,3,3,3,3,3,3,3,3,3,3,3,9,3,9,3,3,3,9,6,6,6,18,6,18,6,6,6,6,1,4,4,
4,4,4,4,4,8,8,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,1,1,1,1,4,3,1,1,1,1,1,1,1,
1],[1,15,6,28,18,36,64,15,3,20,9,4,12,4,18,18,42,42,24,8,12,36,36,36,36,36,36,
12,24,24,72,72,24,64,64,64,15,7,6,6,9,21,9,9,9,4,4,12,18,18,18,18,18,18,18,18,
18,18,18,18,24,24,8,24,12,36,36,12,84,12,12,12,36,12,12,36,12,36,12,12,12,36,
12,12,12,24,24,24,72,24,24,24,72,24,24,24,24,24,72,24,24,32,16,16,48,32,64,1,
1,1,3,3,6,6,2,21,3,9,3,9,3,21,3,9,9,9,3,3,9,18,18,18,18,6,18,6,18,6,18,18,18,
6,6,18,18,18,18,6,6,18,6,18,18,6,18,6,6,18,18,18,12,12,12,12,12,12,12,12,12,
12,12,12,36,36,12,12,36,36,12,36,12,36,12,12,12,12,12,12,12,12,24,24,24,24,24,
24,16,16,16,16,16,16,16,16,48,32,32,1,3,3,7,1,2,9,9,3,3,3,3,9,9,3,3,3,3,3,3,9,
3,3,3,9,9,3,9,6,6,6,18,18,6,6,18,6,6,6,6,18,6,6,6,6,6,6,6,6,18,6,6,6,6,18,6,6,
6,6,6,6,6,18,6,18,6,6,18,6,6,12,12,12,12,12,12,12,12,4,4,4,8,16,16,16,3,3,3,1,
3,3,3,3,9,3,3,3,3,9,3,3,3,3,3,9,3,3,3,3,3,3,3,3,9,3,3,3,3,3,3,6,6,6,6,6,6,6,6,
6,6,4,4,4,4,4,4,4,4,4,8,3,1,3,3,3,3,3,3,3,3,3,3,3,3,3,1,4,4,4,3,1,1,1,1],[1,
15,60,160,15,20,20,20,30,30,40,60,60,96,160,15,15,15,30,60,60,60,120,96,80,80,
80,120,160,1,5,5,10,15,15,15,15,30,30,30,40,80,15,15,15,30,10,20,20,40,16,16,
32,5,6,10,6,5,1],[1,15,60,40,15,20,30,30,40,60,60,96,120,80,15,10,10,15,15,30,
30,30,60,120,96,10,40,40,40,40,1,15,15,30,30,30,30,30,20,40,40,40,5,15,15,10,
10,10,16,5,6,5,10,6,5,1],[1,15,12,24,36,36,8,32,15,6,20,18,24,18,18,36,36,36,
72,72,36,36,36,72,72,72,8,24,24,32,48,48,96,96,15,6,9,18,18,9,18,24,18,18,18,
36,18,18,48,36,36,72,36,36,36,36,36,36,36,72,36,36,72,72,72,72,72,16,2,8,16,
24,24,24,24,24,24,24,48,48,96,1,6,6,18,9,9,18,9,9,9,9,36,18,18,18,18,18,36,18,
18,18,18,18,18,18,36,36,36,36,36,36,72,72,16,32,32,2,6,6,8,12,12,24,24,24,24,
24,24,24,24,24,48,6,6,9,9,9,9,9,9,9,18,18,18,18,18,18,18,18,18,18,8,16,16,16,
2,2,6,6,6,6,6,6,12,12,24,24,9,9,9,9,9,9,9,8,8,8,16,2,2,6,6,6,6,6,6,6,6,9,1,8,
6,6,1,2,2,1,1,1,1],[1,15,40,60,160,15,20,20,20,30,30,60,60,40,60,60,120,120,
96,160,160,160,15,10,15,30,15,30,30,30,30,30,60,60,120,60,60,60,60,60,120,120,
120,96,80,80,80,120,160,160,1,5,5,10,30,15,15,15,30,15,30,30,30,30,30,30,30,
60,60,60,60,60,60,96,40,80,80,40,120,80,10,15,15,15,15,15,15,15,30,30,30,30,
30,30,10,20,20,40,40,16,16,32,5,15,15,15,15,15,15,6,10,20,20,10,10,16,16,15,6,
5,10,6,5,1,1],[1,15,20,60,60,40,15,10,20,30,40,30,30,40,60,120,120,60,60,60,
120,120,96,40,120,120,80,80,15,10,10,15,30,15,30,40,30,30,30,60,80,60,60,60,
60,60,60,120,60,60,60,120,120,120,120,120,96,10,40,40,40,120,40,120,40,40,80,
80,1,10,10,15,15,15,15,15,15,60,30,30,30,30,30,30,30,60,30,30,30,30,30,60,60,
60,60,120,120,96,10,30,30,40,20,40,40,20,40,40,40,40,40,40,40,40,5,10,15,15,
15,15,15,15,30,30,30,30,30,30,30,30,30,10,10,10,10,30,10,30,40,20,20,40,40,16,
5,15,15,15,15,15,15,6,5,10,10,10,10,10,10,10,16,15,6,5,5,5,10,6,5,1,1],[1,15,
180,80,320,15,20,60,60,90,90,120,120,180,180,360,576,240,480,960,15,30,30,45,
45,90,90,90,180,180,180,180,180,360,360,360,160,576,20,80,120,160,240,240,240,
240,240,480,1,15,15,30,45,45,45,45,90,90,90,90,90,90,90,180,180,180,180,160,
60,120,120,120,120,120,240,240,240,240,480,15,45,45,45,45,45,45,90,90,90,90,
90,80,160,20,20,60,60,60,60,120,120,120,96,96,96,192,15,15,45,45,45,45,45,80,
36,15,60,60,60,60,45,10,36,15,15,15,15,10,16,16,15,15,10,6,6,1],[1,15,30,60,
90,180,80,320,15,15,20,45,60,60,60,90,90,90,90,120,120,180,180,180,180,180,
180,180,180,360,360,360,360,360,576,80,240,240,320,480,480,960,960,15,15,30,
30,45,45,45,45,45,60,60,60,90,90,90,90,90,90,90,90,90,90,90,90,120,120,120,
120,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,
180,180,180,360,360,360,360,360,360,360,360,360,360,360,360,360,360,360,360,
160,576,20,80,120,160,240,240,240,240,240,240,240,240,240,480,480,480,960,1,
15,15,15,15,30,30,30,45,45,45,45,45,45,45,45,45,45,45,45,45,45,90,90,90,90,90,
90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,
180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,
180,180,180,180,180,180,180,180,180,180,180,360,360,360,360,360,360,160,320,
320,576,20,60,60,80,120,120,120,120,120,120,120,120,120,120,240,240,240,240,
240,240,240,240,240,240,240,240,240,240,240,480,480,15,15,15,15,15,30,45,45,
45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,90,90,90,90,90,90,
90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,
90,90,90,90,90,90,90,90,90,90,180,180,180,180,180,180,180,180,80,160,160,160,
20,20,60,60,60,60,60,60,60,60,120,120,120,120,120,120,120,120,120,120,120,120,
120,240,240,240,240,96,96,96,192,15,15,15,15,45,45,45,45,45,45,45,45,45,45,45,
45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,90,90,90,90,90,90,
90,90,90,90,80,80,80,160,36,15,20,20,60,60,60,60,60,60,60,60,60,60,60,60,60,
60,120,120,120,96,96,96,15,15,45,45,45,45,45,45,45,45,45,45,45,45,45,10,80,36,
15,15,15,15,15,15,15,15,60,60,60,60,45,10,20,20,36,16,16,15,15,15,15,15,15,15,
15,15,15,10,10,10,16,16,15,15,6,6,10,6,6,1,1]],
[1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,5,6,6,6,
6,6,6,6,6,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,9,10,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,18,
18,18,20,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,36,36,36,36,48,48,48,48,48,48,48,48,48,48,48,48,48,48,
48,48,48,48,48,48,48,48,48,48,48,48,48,60,60,60,60,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,72,72,72,72,80,96,96,96,96,96,96,96,96,96,96,96,
96,96,96,96,96,96,96,96,96,120,120,120,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,144,144,160,192,192,192,192,192,192,192,192,192,192,
192,192,256,288,288,288,320,360,360,384,384,384,384,384,384,384,384,384,384,
576,576,576,720,720,768,768,960,960,1152,1920,1920,5760,11520],
[498,490,477,466,447,401,454,332,491,490,486,468,466,464,466,445,443,443,445,
433,427,401,401,379,405,379,405,401,401,323,323,323,256,256,220,454,357,357,
332,239,239,127,127,490,491,477,475,468,468,468,468,468,466,466,464,445,439,
443,443,445,443,439,445,445,443,443,445,420,433,427,433,379,367,367,401,367,
401,401,401,367,406,379,367,401,367,401,405,406,399,406,405,406,323,323,323,
262,323,323,323,290,323,323,323,323,256,256,290,290,413,220,486,454,433,410,
360,358,359,357,357,357,357,357,357,250,239,239,127,498,491,491,490,490,475,
477,480,468,468,468,468,468,468,468,468,468,468,468,468,468,468,443,443,439,
445,445,443,443,439,439,445,439,439,443,439,439,445,439,445,439,445,439,439,
445,443,439,439,439,439,439,439,443,406,401,401,401,401,401,406,401,401,401,
406,401,367,367,401,401,367,367,401,367,406,367,406,406,406,406,406,406,406,
406,323,290,323,323,323,290,413,332,333,220,486,464,464,454,433,433,433,420,
433,433,433,420,434,433,358,358,359,360,357,358,360,359,357,357,360,359,357,
357,357,250,251,491,490,490,491,491,480,468,468,468,468,468,468,468,468,468,
468,468,468,468,468,468,468,468,468,468,468,468,468,443,445,439,443,443,439,
445,445,445,445,439,443,439,443,443,439,443,443,439,445,439,445,443,439,445,
445,439,439,443,443,439,445,439,443,439,439,438,439,439,439,445,445,406,401,
401,406,401,406,401,406,454,413,413,413,486,485,467,464,466,464,464,464,464,
464,433,433,432,433,433,433,434,434,420,420,433,433,434,357,358,359,360,435,
437,436,364,490,490,490,491,468,468,468,468,468,468,468,468,468,468,468,468,
468,468,468,468,468,468,468,468,468,468,468,468,468,468,468,468,468,468,468,
443,443,445,439,443,439,445,443,445,445,454,454,454,413,472,490,485,486,464,
466,464,464,466,467,464,464,467,466,465,467,465,464,432,433,434,435,436,437,
490,491,468,468,468,468,468,468,468,468,468,468,468,468,468,494,454,472,490,
490,491,490,490,490,490,490,464,465,466,467,468,494,486,485,472,488,489,490,
490,490,490,490,491,490,491,490,491,494,494,494,488,489,490,491,495,496,494,
495,496,498,498],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,7,1,7,
8,7,1,8,1,1,1,1,2,1,1,1,1,1,1,1,2,2,1,1,1,2,1,1,2,1,1,1,1,1,1,1,1,1,2,2,1,2,1,
1,1,1,2,1,2,1,2,1,2,1,2,1,2,2,6,6,6,1,6,6,6,2,1,1,6,6,1,1,1,2,1,35,11,1,20,11,
15,13,9,7,7,1,7,7,1,21,7,7,8,1,1,1,1,1,2,1,1,2,2,2,2,2,1,2,2,2,1,2,2,1,1,2,2,
2,2,2,2,2,2,2,2,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,2,2,1,16,6,6,6,1,6,16,2,1,
1,16,6,2,2,6,6,2,2,6,2,2,2,16,2,16,16,16,16,2,1,6,2,6,6,6,2,109,8,7,35,111,
111,11,7,20,20,113,111,20,113,113,11,47,113,13,116,9,115,7,116,115,117,7,2,15,
117,37,37,37,21,114,9,2,2,9,1,9,9,9,9,2,2,9,2,9,9,9,9,9,2,9,9,9,9,9,2,2,9,9,
17,16,9,2,2,9,2,2,16,16,2,17,9,9,17,2,17,17,2,16,9,2,17,9,16,16,9,9,2,17,9,16,
2,17,9,9,9,9,9,9,9,16,16,6,17,16,6,16,17,16,11,109,109,109,11,128,129,11,130,
11,111,111,111,111,113,113,135,113,20,113,47,233,111,111,113,113,233,37,116,
117,115,361,362,363,364,44,44,2,9,9,48,51,48,44,9,48,51,9,44,9,48,51,44,9,9,
44,48,48,51,48,51,44,48,9,51,9,51,44,51,9,48,17,16,9,48,9,16,17,51,51,330,112,
111,217,128,253,335,111,44,338,111,223,338,336,111,223,336,130,128,129,335,
223,135,113,233,361,363,362,44,9,144,144,44,48,51,51,144,48,144,144,144,144,
144,128,330,414,415,253,368,253,415,415,415,253,223,335,338,336,144,453,334,
335,414,473,474,415,253,415,415,415,368,415,458,415,458,453,453,453,473,474,
415,458,492,493,469,492,493,497,497],
[( 1, 2)( 4,11)( 6, 8)( 9,13)(10,22)(12,15)(14,21)(18,19),( 3, 9, 7, 8,10)
( 5,21,11,15,16)( 6,12,14,22,13)(17,24,23,20,18)],
[[[[]]],[[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,2,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[
3,1,2,1,4,-1,3,2,4,-1]]],[[[1,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,2,1,1,2,
-1,4,-1,3,-2]]],[[[1,1,2,1],[2,1,3,1],[4,1,3,1,4,1,3,1]]],[[[1,1,2,1],[1,1,3,
-3,2,-1]]],[[[1,1,2,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,2,2,1,3,
2]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1]]],[[[1,1,2,1],[2,2,3,1,1,1,2,
-1,1,1,2,-1,3,2]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1]]],[[[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],[4,1,2,1,3,3,1,
1,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,2,1,1,2,-1,4,-1,3,-2]],[[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,-1,3,-1,4,1,2,-1,3,-2]],[[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,-2]]],[[[1,1,2,1],[1,1,2,-1],[4,1,3,1,1,1,2,-2,4,1,3,2,2,1]],[[
1,1,2,1],[2,2,1,1],[3,1,4,-1,3,1,4,-1]]],[[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2],[4,1,5,-2,4,-1]],[[1,1,2,1],[2,1,1,1],[
2,2,3,2,4,2]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,-2]],[[2,1,1,1],[3,1,2,2,3,-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],[1,1,2,-1],[
4,1,3,1,1,1,2,-2,4,1,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,2,2,1,4,1,
3,-1]]],[[[1,1,2,1],[1,1,2,-1],[4,1,3,2,2,1,4,1,3,1,2,1,3,1]],[[1,1,2,1],[2,1,
1,1],[2,1,3,2],[4,1,5,-2,4,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,2,4,
-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1]]],[[[1,1,2,1],[2,1,1,1,2,-1],[4,1,
3,1,4,1,3,1]],[[1,1]]],[[[1,1,2,1],[2,1,3,1,1,1,2,-1,1,1,2,-1,3,2,2,1]],[[1,1,
2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,
2,2,3,1,5,2,4,-1,1,1,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,1,1,3,-1,4,1,
2,2,3,1,4,-1,5,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,3,1,1,1,4,1]],[[1,1,
2,1],[2,1,1,1],[2,1,3,2],[4,1,5,-2,4,-1]]],[[[1,1,2,1],[3,1,2,1,3,3,2,1]]],[[[
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2,1],[2,1,1,1],[1,1,2,-1],[5,1,1,1,3,-1,4,1,2,2,3,1,4,-1,5,1]],[[1,1,2,1],[2,
1,1,1,2,-1],[4,1,3,1,4,1,3,1]]],[[[2,1,1,1],[3,2,2,-1,1,1]]],[[[1,1,2,1,1,1,2,
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1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1]],[[1,1,2,1],[1,1,2,-2],[4,1,3,1,4,1,3,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2],[4,1,5,-2,4,-1]],[[1,1,2,1],[1,1,2,-1,3,
1,2,1,1,1,2,-1,3,2]]],[[[2,1]]],[[[1,1,2,1],[2,1,3,1,1,1,2,-1,1,1,2,-1,3,2,2,
1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,-1,2,-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],[5,2,3,1,4,1,5,-1,3,-1,2,-2,4,-1]],[[1,
1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,2,3,2,2,1]]],[[[2,2,1,1,2,-2,1,1]],[[1,
1]]],[[[1,1,2,1],[3,1,2,1],[3,1,4,1,3,1,4,1]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,4,
1,3,1]]],[[[1,1,2,1],[3,2,2,1,3,1]]],[[[1,1,2,1],[2,1,3,1],[4,1,3,1,4,1,3,
1]],[[1,1,2,1],[3,2,1,1,2,-2,3,1]]],[[[1,1,2,-2,1,1,2,1,1,1,2,-1]]],[[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[3,1,4,-2,5,2,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,
1,3,3,1,1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,1,1,2,-1,4,-2,2,-1]]],[[[
1,1,2,1],[2,1,1,1],[3,1,1,1,4,2,2,1,3,2]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,
-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,
2,-1],[5,1,3,2,4,-1,5,1,4,-1,3,-1,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[2,2,3,2,4,
2]],[[1,1,2,1],[2,1,1,1],[2,1,3,2],[4,1,5,-2,4,-1]]],[[[1,1,2,1],[2,1,1,1],[3,
1,4,2,2,1,4,-1,3,1,4,1]],[[1,1,2,1],[2,1,1,1,2,-1,3,-2,2,1,3,1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,3,-2,2,-1,3,1,1,1,4,1]],[[1,1,2,1],[2,1,1,1],[2,2,3,2,4,
2]],[[1,1,2,1],[2,1,1,1],[2,1,3,2],[4,1,5,-2,4,-1]]],[[[1,1,2,1],[2,1,1,1,3,
-2,2,-1,1,1,2,-1,3,1,2,1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,2,2,1,3,2]]],[[[1,
1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,1,1,3,-1,4,1,2,2,3,1,4,-1,5,1]],[[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],[1,1,2,-1,4,
-1,3,-2,4,1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-2,4,1,2,-1]],[[2,1,1,
1],[1,1,2,2,3,-1],[4,1,3,-1,4,1,3,-1]]],[[[1,1,2,1],[2,2,3,1,1,1,2,-1,1,1,2,
-1,3,2]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1]],[[1,1,2,1],[2,1,1,1],[3,
1,1,1,4,2,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,2,4,-1]],[[2,2],[3,
1,2,1,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1]]],[[[1,1,2,1],[2,1,1,
1],[4,1,3,-1,2,-2,3,1,2,1,3,1,4,-1]],[[1,1,2,1],[1,1,2,-1],[3,2,1,1,2,-1,4,2,
3,1]],[[1,1,2,1],[2,1,3,1,1,1,2,-1,1,1,2,-1,3,2,2,1]]],[[[1,1,2,1],[2,1,1,1],[
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2,-1,3,-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],[
3,2,2,1,1,1,2,2,3,1]],[[2,1,1,1],[3,1,2,2,1,1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,
1],[2,1,3,2],[4,1,5,-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],[2,2,3,2,4,2]]],[[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1]],[[1,1,2,1],[1,1,
2,-1,1,1,2,-1,3,2]]],[[[1,1,2,1],[2,1,1,1],[2,2,3,2,4,2]],[[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],[4,2,3,-3,2,1,1,1]],[[1,1,2,
1],[2,1,3,4,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[3,2,2,1,3,1,4,2]],[[1,1,2,1],[2,
1,3,1,2,1,1,1,2,2,3,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,2,1,3,1,1,1,2,-1,1,1,3,
-1]],[[1,1,2,1],[2,1,3,4,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,2,2,2,3,
1]],[[2,1,1,1],[1,1,2,2,3,-1],[4,1,3,-1,4,1,3,-1]]],[[[2,1,1,1],[1,1,2,-1,3,
-1,1,1,2,1,1,1,3,1]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]],[[1,1,2,1],[3,1,1,1,2,
1,1,1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,-1,4,1,2,-1,3,-2]],[[2,
2],[3,1,2,1,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1]]],[[[1,1,2,
1],[2,1,1,1],[2,1,3,3,4,2]],[[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],[1,1,2,-1],[5,1,3,1,1,1,4,1,5,-1,4,1,3,-1,2,-2]],[[1,1,2,
1],[2,1,1,1],[4,1,3,-2,2,-1,1,1,2,-1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[3,1,4,-2,5,2,4,-2,3,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,
-1]],[[2,1,1,1],[3,1,1,1,2,1,3,-1,2,-1]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,
-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,-1,4,1,2,-1,3,-2]],[[2,2],[3,1,2,
1,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,2,3,-3,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[
3,1,2,1,3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,4,1,3,1]],[[2,1,1,1],[3,
1,2,-2,1,1,2,2,3,-1]]],[[[1,1,2,1],[2,2,3,1,1,1,2,-1,1,1,2,-1,3,2]],[[1,1,2,
1],[2,1,1,1],[2,1,3,2],[4,1,5,-2,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,
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],[3,2,2,
1,1,1,2,1,3,2]]],[[[1,1,2,1],[2,1,3,1,1,1,2,-1,1,1,2,-2,3,1]],[[1,1,2,1],[3,1,
2,1],[3,1,4,1,3,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,-1,4,1,2,-1,3,
-2]],[[1,1,2,1],[2,1,1,1],[4,2,3,-3,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,
3,1,1,4,1]]],[[[1,1,2,1],[2,1,3,4,2,1,1,1]],[[1,1,2,-1,1,1,2,1,1,1]]],[[[1,1,
2,1],[1,1,2,-1],[4,2,3,1,2,1,1,1,3,-1,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,
-1,2,-1,3,1,4,-2]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,2,2,1,3,2]]],[[[1,1,2,1],[
2,1,1,1],[2,2,3,2,4,2]],[[1,1,2,1],[2,1,1,1,3,-3,2,-1]]],[[[1,1,2,1],[2,1,1,
1],[4,1,2,1,3,3,1,1,4,1]],[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1]]],[[[1,1,2,1],[
2,1,3,1,1,1,2,-1,1,1,2,-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,-2,2,2,3,1]],[[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,-2,2,-1,3,1,1,1,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,2,1,1,1,2,-1,3,
2]],[[1,1,2,1],[2,1,1,1],[2,1,3,2],[4,1,5,-2,4,-1]]],[[[1,1,2,1],[1,1,2,-2,3,
1,2,1,1,1,2,-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],[4,2,3,-3,2,1,1,1]],[[2,2],[3,1,2,1,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,
1,4,-1,3,2,4,-1]]],[[[1,1,2,1],[2,1,1,1],[2,2,3,2,4,2]],[[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,-2,3,1,2,1,3,1,4,
-1]],[[1,1,2,1],[1,1,2,-1],[3,2,1,1,2,-1,4,2,3,1]],[[1,1,2,1],[1,1,2,-1],[4,2,
3,1,2,1,1,1,3,-1,2,-1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,1,1,2,-1,3,
2,4,1]],[[2,1,1,1],[2,1,3,-1,2,-1,1,1,3,2,2,2]]],[[[1,1,2,1],[3,2,1,1,2,-1,3,
1,2,1]]],[[[1,1,2,1],[1,1,2,-1],[4,1,3,1,1,1,2,-2,4,1,2,-1,3,1]],[[1,1,2,1],[
2,1,1,1],[3,1,1,1,4,2,2,1,3,2]]],[[[2,1,1,1],[2,1,3,-1,2,-1,1,1,3,1]]],[[[1,1,
2,1],[2,1,1,1],[1,1,2,-2,3,1,4,1,2,1,4,1,3,-1,4,1]],[[1,1,2,1],[2,2,3,1,1,1,2,
-1,1,1,2,-1,3,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,1,1,2,-1,3,2,4,1]],[[
1,1,2,1],[2,1,1,1],[3,1,4,2,2,1,4,-1,3,1,4,1]]],[[[1,1,2,1],[3,1,2,1,3,3,2,1,
1,1]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,4,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,3,
3,-1]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,4,1,3,1]]],[[[1,1,2,1],[1,1,2,-2,3,2,1,1,
2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,2,2,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,
4,-2,3,1,4,1,2,1,1,1]],[[1,1,2,1],[2,1,3,4,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[
3,1,4,2,2,2,3,1]],[[2,1,1,1],[1,1,2,-2,1,1,2,1,3,2]]],[[[1,1,2,1],[2,2,1,1],[
3,1,4,-1,3,1,4,-1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1]]],[[[1,1,2,1],[2,1,1,
1],[3,1,4,-1,2,-1,3,1,4,-2]],[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2]]],[[[1,1,2,1],[
1,1,2,-2,3,2,1,1,2,-2]],[[1,1,2,1],[2,1,1,1,2,-1],[4,1,3,1,4,1,3,1]]],[[[2,1,
1,1,2,2,1,1,2,-2,1,1,2,1]],[[2,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1,3,-3,2,
-1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1]]],[[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,
-1]],[[1,1,2,1],[3,1,2,2,1,1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,2,2,2,3,
1]],[[2,1,1,1],[3,1,2,2,3,-1,2,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,
2],[4,1,5,-2,4,-1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1]],[[1,1,2,1],[1,1,2,-1,
3,1,2,1,1,1,2,-1,3,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1]],[[1,1,
2,-1,1,1,2,1,1,1]],[[1,1,2,1],[1,1,2,-2],[4,1,3,1,4,1,3,1]]],[[[1,1,2,1],[3,1,
1,1,2,-2,1,1,2,-2,3,1]],[[2,1,1,1],[1,1,2,-1,3,-2]]],[[[1,1,2,1],[1,1,2,-1],[
4,1,3,2,2,1,4,1,3,1,2,1,3,1]],[[1,1,2,1],[2,2,3,2,1,1,2,-1]]],[[[1,1,2,1],[2,
1,1,1],[3,1,4,4,3,-1]],[[1,1,2,1],[2,1,1,1,3,-3,2,-2]]],[[[1,1,2,1],[3,1,2,1,
3,1,1,1,2,-2,3,1]],[[1,1,2,1],[2,1,1,1,2,-1],[4,1,3,1,4,1,3,1]]],[[[1,1,2,1],[
2,1,3,2],[1,1,2,-1,4,-1,1,1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1,3,-3,2,-2]]],[[[1,
1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,1,3,2,4,-1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[
3,1,1,1,4,2,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,4,3,-1]],[[1,1,2,1],[2,1,
1,1],[2,2,3,2,4,2]]],[[[1,1,2,1],[2,1,3,1],[4,1,3,1,1,1,2,-1,4,-1]],[[2,1,1,
1],[2,1,3,-1,2,-1,1,1,3,2]]],[[[1,1,2,1],[2,1,3,1,1,1,2,-1,3,-1,2,1,1,1]],[[1,
1,2,1],[2,2,1,1],[3,1,4,-1,3,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,4,2,3,
-1]],[[1,1,2,-2,1,1,2,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,4,2,3,-1]],[[1,1,2,
-1,1,1,2,1]]],[[[1,1,2,1],[1,1,2,-2],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,3,1],[
2,1,1,1,4,-1,3,-1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-1,1,1,2,-1,3,-1,2,
-2,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,2,1,1,2,-1,4,-1,3,-2]]],[[[1,1,2,
1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,3,1,4,-2]],[[1,1,2,1],[1,1,2,-1,3,2,
2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,1,2,1,3,1,4,-1]],[[1,1,2,1],[2,1,
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1,3,1,4,1,3,1]]],[[[1,1,2,1],[2,1,1,1,2,-1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[3,
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1],[3,2],[5,1,4,-1,1,1,2,-1,5,1,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,2,2,1,3,
2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,1,4,-2,5,2,4,-2,3,-1]],[[1,1,2,1],[2,
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2,1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,2,2,1,3,2]]],[[[1,1,2,1],[2,1,1,
1],[2,2,3,2,4,2]],[[1,1,2,1],[2,1,3,1],[3,1,4,1,2,1,1,1,4,-1]]],[[[1,1,2,1],[
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1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-2,4,1,2,-1]],[[1,1,2,1],[2,1,3,1,2,1,1,
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1,1,1],[1,1,2,-1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,3,1,1,1,4,1]],[[
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3,2,1,1,2,-1,4,-1,3,-2]],[[2,1,1,1],[1,1,2,2,3,-1],[4,1,3,-1,4,1,3,-1]],[[1,1,
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1],[2,1,3,2],[4,1,5,-2,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,2,1,1,1,2,-1,3,2]]],[[[
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3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2],[4,1,5,-2,4,-1]],[[1,1,2,1],[2,1,1,1],[
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1]],[[1,1,2,-2,1,1,2,2,1,1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2]]],[[[1,1,2,1],[
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1],[2,1,1,1],[3,2,2,1,3,1,4,2]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-2,4,1,2,
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1,1],[2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,3,2,1,4,-1]],[[1,1,2,
1],[2,1,1,1],[3,2,2,1,3,1,4,2]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1]],[[2,1,1,
1],[1,1,2,-1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,2,2,1,4,-1,3,1,4,1]],[[1,1,
2,1],[2,1,1,1,2,-1,3,-2,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,
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1,1,1],[1,1,2,1,3,-1,2,-1],[3,1,4,-1,3,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,2,2,1,3,2]],[[
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2,3,-1,2,-2]],[[1,1,2,1],[3,1,1,1,2,-2,1,1,2,-2,3,1]]],[[[1,1,2,1],[2,1,1,1],[
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1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1]],[[1,1,2,1],[2,2,3,2,1,1,2,
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1,1,4,1,3,1]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1]]],[[[1,1,2,1],[1,1,2,-2,3,1,
2,1,1,1,2,-1,3,1]],[[1,1,2,1],[3,2,2,1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,3,1,1,1,
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1],[3,1,4,-1,3,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-3,2,-2,4,-1]],[[1,
1,2,1],[2,1,1,1],[2,2,3,2,4,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,2],[4,1,5,-2,4,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2],[4,1,5,-2,4,-1]],[[1,1,2,1],[2,2,1,1],[
3,1,4,-1,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[2,2,3,2,4,2]]],[[[1,1,2,1],[2,1,1,
1],[4,1,2,1,3,3,1,1,4,1]],[[2,2],[3,1,2,1,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,2,
3,-3,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,2,4,-1]]],[[[1,1,2,1],[2,
1,1,1],[3,1,4,-1,2,-1,3,1,4,-2]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1]]],[[[1,1,2,
1],[2,1,1,1],[2,2,3,2,4,2]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,4,1,2,1,1,1]]],[[[2,
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1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,
3,1,1,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,2,3,2,4,2]],[[1,1,2,1],[2,1,1,1,3,-3,
2,-1]],[[1,1,2,1],[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],[3,1,2,1,1,1,2,-1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[2,2,3,
2,4,2]],[[1,1,2,1],[3,1,2,2,1,1,3,-2]]],[[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,2,
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3,-2]]],[[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,2,-1,3,1]],[[1,1,2,1],[3,1,1,1,2,1,
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2,2,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,3,3,-1]],[[2,1,1,1],[1,1,2,-1,3,-1,
1,1,2,1,1,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,3,4,2]],[[1,1,2,1],[2,1,1,1],[
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1,2,1],[1,1,2,-1,3,2,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,2,-1]]],[[[
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-1,1,1,2,-1]]],[[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[1,1,2,1],[2,1,1,
1,2,-1],[3,1,4,1,3,1,4,1]],[[2,1,1,1],[3,1,1,1,2,1,3,-1,2,-1]]],[[[1,1,2,1],[
2,1,1,1],[4,1,3,-1,2,-1,3,-1,4,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,
2,2,1,3,2]],[[2,2],[3,1,2,1,1,1,3,1]]],[[[2,1,1,1],[1,1,2,-2,3,-2,2,-1]],[[1,
1,2,1],[3,2,1,1,2,-1,3,1,2,1]]],[[[1,1,2,1],[2,1,3,1,1,1,2,-1,1,1,2,-2,3,
1]],[[1,1,2,1],[3,1,2,1],[3,1,4,1,3,1,4,1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,3,
-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,4,-1,2,-1,1,1,2,-1,3,1,4,1]],[[1,1,2,1],[
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1,3,1,4,-1]],[[1,1,2,1],[3,1,1,1,2,-2,1,1,2,-2,3,1]],[[1,1,2,1],[2,2,3,1,1,1,
2,-1,1,1,2,-1,3,2]]],[[[1,1,2,1],[2,1,1,1,2,-1],[4,1,3,1,4,1,3,-1]],[[1,1,2,
1],[2,1,3,1],[4,1,3,1,4,1,2,1,1,1]]],[[[2,1,1,1],[1,1,2,-2,3,-1,1,1,2,1,3,
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],[4,1,
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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],[3,1,2,
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1],[2,2,3,1,1,1,2,-1,1,1,2,-1,3,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,2],[4,1,5,-2,
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2,1,1,2,-1,4,2,3,1]],[[1,1,2,1],[2,1,1,1],[4,2,3,-3,2,1,1,1]],[[1,1,2,1],[3,1,
2,1,3,1],[1,1,2,-1,4,-2,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,2,4,
2]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,2,4,-2]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,
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1]],[[1,1,2,-1,1,1,2,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,3,3,-1]],[[1,
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2,2,1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,
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3,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,4,3,-1]],[[2,1,1,1,2,-1]]],[[[1,1,2,-1],[
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1],[2,1,1,1,2,-1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[1,1,3,-3,2,-1]]],[[[1,1,2,
1],[2,1,3,1],[2,1,1,1,4,-1,3,-1,4,-1]],[[1,1,2,-2,1,1,2,-2]]],[[[1,1,2,1],[2,
1,3,1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[3,1,1,1,3,-2,2,-1]]],[[[1,1,2,1],[2,1,1,
1],[3,1,2,1,4,-1,3,2,4,-1]],[[1,1,2,1],[1,1,2,-2,3,2,1,1,2,1,1,1]]],[[[1,1,2,
1],[2,1,1,1,3,-1,2,-1,3,-1,2,-2]],[[1,1,2,1],[1,1,3,-3,2,-1]]],[[[1,1,2,1],[2,
1,1,1,2,-1],[4,1,3,1,4,1,3,-1]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,3,-1]]],[[[1,
1,2,1],[1,1,2,-2,3,2,1,1,2,1,1,1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1,2,
-2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,3,1,4,-2]],[[2,1,1,1,2,2,1,1,2,
2]]],[[[1,1,2,1],[3,1,2,2,1,1,3,-2]],[[1,1,2,1],[2,1,1,1,3,-3,2,-1]]],[[[1,1,
2,1],[2,1,1,1],[2,1,4,1,3,2,4,2]],[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,
1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,-2,3,2]],[[2,-1,1,1,2,
1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,3,1,4,-2]],[[1,1,2,1],[2,1,1,1],[3,
1,4,2,2,2,3,1]],[[1,1,2,1],[3,1,2,1],[3,1,4,1,3,1,4,1]]],[[[1,1,2,1],[3,1,1,1,
2,1,1,1,3,-2]],[[2,1,1,1,2,2,1,1,2,2]],[[2,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1,
2,-1],[3,1,4,1,3,1,4,1]],[[1,1,2,1],[2,2,3,2]]],[[[1,1,2,1],[2,1,1,1],[2,2,3,
2,4,2]],[[1,1,2,1],[1,1,2,-1,1,1,2,-1,3,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,
3,1,4,2,3,-1]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,4,1,2,1,1,1]]],[[[1,1,2,1],[3,
2],[2,1,1,1,4,-2]],[[2,2,1,1,2,1]]],[[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,3,-2]],[[
1,1,2,1],[2,1,3,1],[4,1,3,1,4,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,2,2,1,3,
2]],[[1,1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1,2,1,1,1]],[[1,1,2,1],[2,1,3,
1],[4,1,3,1,4,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,3,-1,4,2,2,-1,3,-1]],[[1,1,
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2,1],[2,1,1,1,2,-1],[4,1,3,1,4,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,
1]],[[1,1,2,1],[2,2,3,1,2,1,1,1,2,-1,3,1]]],[[[1,1,2,1],[2,1,1,1,3,-1,2,-1,1,
1,2,-1,3,1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2,3,1]]],[[[2,1,1,1],[1,1,2,-1,3,-1,
1,1,2,1,1,1,3,1]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1,2,
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1,1,2,1],[2,1,1,1,2,-1],[4,1,3,1,4,1,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2],[4,
1,5,-2,4,-1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,2,2,1,4,-1]]],[[[1,1,2,1],[2,
1,1,1],[3,1,1,1,4,2,2,1,3,2]],[[1,1,2,1],[1,1,2,-1,3,3,2,1,1,1]],[[1,1,2,1],[
2,1,1,1],[4,1,2,1,3,3,1,1,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,2,4,
-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,2,2,1,3,2]],[[1,1,2,1],[1,1,2,-1,1,1,2,
-1,3,-3,2,-1]],[[1,1,2,1],[2,-1,1,1,2,-1,3,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,
-2,2,-1,3,1,1,1,4,1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1]],[[1,1,2,1],[2,1,1,
1],[2,1,3,2],[4,1,5,-2,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,2,1,1,1,2,-1,3,2]],[[1,
1,2,1],[2,1,1,1],[2,2,3,2,4,2]]],[[[1,1,2,1],[3,1,2,1],[2,1,1,1,4,-1,3,-1,1,1,
2,-1,4,1]],[[1,1,2,1],[2,-1,1,1,2,-1,3,2]],[[1,1,2,1],[1,1,2,-1,1,1,2,-1,3,-1,
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2,1],[2,1,1,1],[4,1,2,2,3,2,4,1]],[[1,1,2,1],[3,2,2,1,1,1,2,1,3,2]]],[[[1,1,2,
1],[2,1,1,1,2,-1],[4,1,3,1,4,1,3,-1]],[[2,2],[3,1,2,1,1,1,3,1,1,1,2,1]]],[[[1,
1,2,1],[2,2,3,2,1,1,2,-1]],[[2,1,1,1],[1,1,2,-1,3,-2]],[[1,1,2,1],[3,1,2,1,1,
1,2,-1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,-1]],[[
1,1,2,1],[3,1,1,1,2,-2,1,1,2,-2,3,1]],[[1,1,2,1],[2,2,3,1,1,1,2,-1,1,1,2,-1,3,
2]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,2,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,
1,2,1,3,3,2,1,4,-1]],[[1,1,2,1],[2,1,3,1],[4,1,2,1,1,1,4,1,3,1]],[[1,1,2,1],[
2,1,1,1],[2,1,3,3,4,2]]],[[[1,1,2,1],[2,1,3,4,2,1,1,1]],[[1,1,2,-1,1,1,2,1,1,
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]]],[[[
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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],[3,3,4,-2]],[[
1,1,2,1],[2,1,3,1],[4,2,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,1,4,1,2,1,4,
1,3,-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],[3,1,1,
1,4,2,2,2,3,1]]],[[[1,1,2,1],[2,1,1,1,2,-1],[4,1,3,1,4,1,3,-1]],[[1,1,2,1],[2,
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1,2,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,2,4,-1,2,-1]]],[[[1,1,2,
1],[2,1,1,1],[3,1,2,1,4,-1,3,2,4,-1]],[[2,1,1,1],[1,1,2,-1,3,-2]],[[2,1,1,1],[
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1,1,2,1],[2,1,3,1],[4,1,2,1,1,1,4,1,3,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1]],[[1,1,2,1],[2,1,1,1,2,-1],[
4,1,3,1,4,1,3,-1]],[[1,1,2,1],[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,-2,4,1,2,-1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]],[[
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,-2,3,1,2,1,1,1,
2,-1,3,1]],[[1,1,2,1],[1,1,2,-1,1,1,2,-1,3,2]],[[1,1,2,1],[2,1,3,1],[4,1,3,2,
4,1]]],[[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,2,-1,3,1]],[[2,1,1,1,2,1,1,1,2,-1,1,
1,2,-1]],[[1,1,2,1],[3,2,2,1,1,1,2,1,3,2]],[[1,1,2,1],[3,1,1,1,2,1,1,1,3,
-2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,-1,1,1,2,-1,3,1,4,1]],[[1,1,2,
1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,2,2,2,3,
1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,2,-2]],[[1,1,2,1],[3,1,1,1,2,-2,1,1,
2,-2,3,1]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,4,1,3,1]]],[[[2,1,1,1],[3,1,2,2,1,1,
2,1,3,2]],[[1,1,2,1],[1,1,2,-1,1,1,2,-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],[2,1,1,1],[2,2,3,2,4,2]],[[1,1,2,1],[3,2,1,
1,2,-1,1,1,2,-1]]],[[[1,1,2,1],[1,1,2,-2,3,2,1,1,2,-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],[4,1,3,1,4,1,3,1]]],[[[1,1,2,1],[1,
1,2,-2,3,1,2,1,1,1,2,-1,3,1]],[[1,1,2,1],[3,1,2,1],[3,1,4,1,3,1,4,1]],[[1,1,2,
1],[2,1,3,1,1,1,2,-1,1,1,2,-2,3,1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2]]],[[[1,
1,2,1],[2,1,3,4,2,1,1,1]],[[1,1,2,-1,1,1,2,1,1,1]],[[2,1,1,1,2,1,1,1,2,-1,1,1,
2,-1]],[[2,2],[3,1,2,1,1,1,3,1]]],[[[1,1,2,1],[1,1,2,-2,3,2,1,1,2,-2]],[[1,1,
2,1],[2,1,1,1,2,-1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[3,2,2,1,1,1,2,2,3,1]]],[[[
1,1,2,1],[2,1,1,1],[2,1,3,3,4,2]],[[1,1,2,1,1,1,2,1,1,1,2,-2]],[[1,1,2,1],[2,
1,1,1],[2,1,4,-1,3,2,4,-2]]],[[[1,1,2,1],[2,1,3,1,1,1,2,-1,1,1,2,-2,3,1]],[[1,
1,2,-2,1,1,2,2,1,1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2]],[[1,1,2,1],[3,1,2,1],[
3,1,4,1,3,1,4,1]]],[[[2,1,1,1],[2,1,3,-1,1,1,2,1,3,1,2,-2]],[[1,1,2,1],[1,1,2,
-1,1,1,2,-1,3,2]],[[1,1,2,1],[2,1,3,1,1,1,2,-1,1,1,3,-1]]],[[[1,1,2,1],[1,1,2,
-2,3,1,2,1,3,1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1,2,-1,3,3]],[[1,1,2,1],[2,1,1,1,
2,-1,3,-3]]],[[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,2,2,1,3,2]],[[1,1,2,1],[2,1,1,
1],[2,2,3,2,4,2]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1]],[[1,1,2,1],[1,1,
2,-1,3,1,2,1,1,1,2,-1,3,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,3,4,2]],[[1,1,2,1],[
2,2,1,1],[3,1,4,-1,3,1,4,-1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1]]],[[[1,1,2,
1],[2,1,1,1],[1,1,2,-2,3,1,4,1,2,1,4,1,3,-1]],[[1,1,2,1],[1,1,2,-1,1,1,2,-1,3,
-3,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,2,2,2,3,1]]],[[[1,1,2,1],[2,1,1,1],[
2,1,3,3,4,2]],[[2,2],[3,1,2,1,1,1,3,1,1,1,2,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,
3,4,2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,3,1,4,-2]],[[1,1,2,1],[3,1,2,1,1,
1,2,-1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,2,-2]],[[2,1,1,1],[1,1,2,
-1,3,-2]],[[1,1,2,1],[3,1,1,1,2,-2,1,1,2,-2,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,
4,-1,2,-1,3,1,4,-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],[2,2,3,2,4,2]]],[[[1,1,2,1],[2,1,1,1],[2,2,3,2,4,2]],[[1,1,2,1],[
2,1,3,1,2,1,1,1,2,2,3,1]]],[[[1,1,2,1],[3,1,2,1],[2,1,1,1,4,-1,3,-1,1,1,2,-1,
4,1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,2,2,2,3,1]],[[1,1,2,1],[2,1,3,1],[4,1,2,
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1,1,1],[2,1,3,3,4,2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,3,1,4,-2]],[[1,1,2,
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1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,3,-1,2,-2]],[[1,1,2,1],[3,1,1,1,2,1,1,1,3,
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1],[2,1,1,1],[2,1,4,-2,3,-2]],[[1,1,2,1],[1,1,2,-1,3,2,2,1,3,1]]],[[[1,1,2,
1],[2,1,1,1],[2,1,3,1,4,-1,3,-1,4,1,2,-1]],[[1,1,2,1],[1,1,2,-2,3,3]],[[1,1,2,
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3,2,1,1,2,-2]],[[1,1,2,1],[1,1,3,-3,2,-1]],[[1,1,2,1],[2,1,1,1,2,-1],[4,1,3,1,
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1],[2,1,1,1],[3,1,4,3,3,-1]],[[2,1,1,1,2,-1,1,1,2,-2]]],[[[2,1,1,1,2,2,1,1,2,
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1],[2,1,4,2,2,1,3,2]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,1,1,3,-1]]],[[[1,1,2,-1,1,
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2]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1]]],[[[1,1,2,1],[2,2,1,1],[3,1,4,-1,3,1,
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4,2,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,2,1,4,1,3,-1]]],[[[1,1,2,1],[2,1,3,
1],[4,1,3,1,4,1,2,1,1,1]],[[1,1,2,1],[1,1,2,-1,3,2,2,1,3,1]]],[[[1,1,2,1],[2,
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3,1,4,1,3,1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,
1],[2,2,3,1,4,2,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-2,3,-1]]],[[[1,1,2,-2,
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1],[2,1,3,2,1,1,2,-1,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,2,2,1,3,1,4,2]],[[2,2],[
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1,2,1,1,1,2,-2]]],[[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]],[[1,1,2,1],[2,1,3,1],[
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1,1,1,2,-1,3,1]],[[1,1,2,1],[1,1,2,-1,1,1,2,-1,3,2]],[[1,1,2,1],[3,2,2,1,1,1,
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2]],[[2,1,1,1],[1,1,2,-1,3,-2]]],[[[2,1,1,1],[1,1,2,-2,3,-1,1,1,2,1,3,2]],[[1,
1,2,1],[3,1,2,1,1,1,2,-1,3,-1]],[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2,2,-1]]],[[[
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1]],[[1,1,2,1],[2,-2,1,1,2,1,3,2]]],[[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]],[[2,
1,1,1],[1,1,2,-1,3,-2]],[[2,2],[3,1,2,1,1,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,
4,2,3,-1,2,-2]],[[2,1,1,1],[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],[3,1,2,-2,1,1,2,2,3,-1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,1,3,
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,
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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,-1,3,2,
2,1]],[[2,1,1,1],[1,1,2,-1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,3,4,2]],[[1,1,
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1],[2,1,1,1],[2,1,4,-1,3,2,4,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1]],[[
1,1,2,1],[3,2,2,1,1,1,2,1,3,2]],[[2,2],[3,1,2,1,1,1,3,1]]],[[[2,2],[3,1,2,1,1,
1,3,1,1,1,2,1]],[[1,1,2,1,1,1,2,1,1,1,2,-2]]],[[[1,1,2,1],[2,-2,1,1,2,1,3,
2]],[[2,1,1,1,2,-1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1]]],[[[1,1,2,1],[2,1,3,
1,2,1,1,1,2,2,3,1]],[[1,1,2,1],[2,-2,1,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1,2,-1],[
3,1,4,1,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,2,3,2,4,2]],[[1,1,2,1],[2,1,3,
1],[4,1,3,1,4,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1,2,-1],[3,1,4,1,3,-1,4,1]]],[[[1,
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1,1,2,1],[2,1,3,1],[4,1,2,1,1,1,4,1,3,1]]],[[[1,1,2,1],[2,-2,1,1,2,1,3,2]],[[
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LIBTOM( "2^5:S5",
[[1],[1,2],[1,3],[1,4],[1,5],[1,6],[1,7],[1,8],[1,9],[1,4,10],[1,4,11],[1,2,4,
12],[1,3,4,13],[1,4,14],[1,4,7,15],[1,3,4,16],[1,4,8,17],[1,4,18],[1,4,19],[1,
7,20],[1,7,21],[1,3,5,6,22],[1,4,23],[1,4,24],[1,4,7,25],[1,4,5,26],[1,4,27],[
1,2,3,4,28],[1,4,29],[1,4,8,30],[1,4,6,31],[1,7,32],[1,6,7,33],[1,7,34],[1,5,
7,35],[1,2,7,8,36],[1,3,5,6,37],[1,3,7,8,38],[1,5,6,8,39],[1,40],[1,5,9,41],[
1,6,9,42],[1,6,9,43],[1,7,9,44],[1,5,9,45],[1,3,9,46],[1,8,9,47],[1,3,4,10,16,
48],[1,3,4,11,13,16,49],[1,4,6,11,31,50],[1,4,5,11,26,51],[1,4,10,18,52],[1,2,
3,4,10,12,13,28,53],[1,4,10,11,14,54],[1,4,7,10,15,25,55],[1,4,10,19,56],[1,4,
8,10,17,30,57],[1,2,3,4,12,14,28,58],[1,4,6,19,31,59],[1,4,7,15,24,60],[1,4,6,
7,15,31,33,61],[1,2,4,7,8,12,15,17,36,62],[1,2,4,12,18,19,63],[1,4,5,7,15,26,
35,64],[1,2,3,4,11,12,16,28,65],[1,3,4,13,18,19,66],[1,4,19,24,67],[1,4,11,24,
68],[1,4,10,23,69],[1,4,11,27,70],[1,4,5,19,26,71],[1,3,4,7,8,13,15,17,38,
72],[1,4,10,29,73],[1,4,7,15,27,74],[1,4,19,27,75],[1,4,7,11,15,19,76],[1,4,
18,24,27,77],[1,4,7,15,34,78],[1,3,4,6,16,27,31,79],[1,4,7,15,20,21,25,80],[1,
4,6,7,15,24,31,81],[1,3,4,5,16,24,26,82],[1,3,4,16,24,27,83],[1,4,5,11,26,27,
84],[1,2,4,7,12,25,29,85],[1,3,4,13,24,27,86],[1,4,5,18,24,26,87],[1,4,19,23,
88],[1,4,5,7,15,26,27,89],[1,3,4,7,15,16,18,90],[1,4,5,8,17,24,26,91],[1,2,4,
5,12,24,26,92],[1,4,8,19,30,93],[1,4,6,10,24,31,94],[1,4,7,15,32,95],[1,4,7,
15,29,96],[1,4,6,19,24,31,97],[1,4,6,11,24,31,98],[1,3,4,8,16,17,19,99],[1,3,
4,5,6,16,26,31,37,100],[1,4,5,19,26,27,101],[1,4,6,18,27,31,102],[1,4,5,6,18,
26,31,103],[1,3,4,5,6,13,22,26,31,37,104],[1,4,5,6,8,17,26,31,39,105],[1,2,4,
6,12,27,31,106],[1,4,6,8,17,27,31,107],[1,4,8,11,17,18,108],[1,2,3,4,13,14,16,
28,109],[1,3,4,7,13,25,29,110],[1,2,4,8,12,23,30,111],[1,4,19,112],[1,3,4,8,
13,23,30,113],[1,4,5,10,26,27,114],[1,4,19,115],[1,4,8,17,24,27,116],[1,4,8,
18,23,30,117],[1,4,7,14,23,25,118],[1,4,7,8,17,25,29,119],[1,2,3,4,7,8,25,28,
30,36,38,120],[1,4,8,14,29,30,121],[1,2,3,4,23,28,29,122],[1,5,7,20,32,35,
123],[1,3,5,6,7,8,22,33,35,37,38,39,124],[1,2,7,8,32,34,36,125],[1,6,7,21,33,
34,126],[1,7,40,127],[1,8,40,128],[1,2,40,129],[1,4,9,11,130],[1,4,9,10,131],[
1,4,9,14,132],[1,7,9,20,133],[1,6,7,9,33,42,43,44,134],[1,5,6,8,9,39,42,45,47,
135],[1,3,5,6,9,22,41,42,46,136],[1,3,5,6,9,37,43,45,46,137],[1,5,6,8,9,39,41,
43,47,138],[1,5,7,9,35,41,44,45,139],[1,3,7,8,9,38,44,46,47,140],[1,7,9,21,
141],[1,4,10,11,14,54,142],[1,4,7,10,15,20,21,25,55,80,143],[1,4,10,19,56,
144],[1,3,4,5,6,11,13,16,22,26,31,37,49,50,51,100,104,145],[1,4,10,23,69,
146],[1,3,4,7,10,15,16,18,25,48,52,55,90,147],[1,2,3,4,10,11,12,13,14,16,28,
48,49,53,54,65,109,148],[1,4,7,10,15,23,25,55,69,149],[1,4,10,11,14,29,54,73,
150],[1,4,10,19,29,56,73,151],[1,2,3,4,10,11,12,13,14,16,28,53,54,58,65,109,
152],[1,4,8,10,11,14,17,18,30,52,54,57,108,153],[1,2,3,4,10,12,13,18,19,28,52,
53,56,63,66,154],[1,3,4,8,10,16,17,19,30,48,56,57,99,155],[1,4,7,10,11,14,15,
19,25,54,55,56,76,156],[1,4,8,10,17,19,30,56,57,93,157],[1,2,3,4,7,8,10,12,13,
15,17,25,28,30,36,38,53,55,57,62,72,120,158],[1,4,10,19,23,56,69,88,159],[1,4,
7,10,15,18,25,52,55,160],[1,4,7,10,15,25,29,55,73,96,161],[1,4,10,11,14,23,54,
69,162],[1,4,10,11,14,27,54,70,163],[1,4,7,10,11,14,15,23,25,54,55,69,118,
164],[1,4,6,7,10,15,24,25,31,33,55,60,61,81,94,165],[1,4,7,10,15,25,32,55,95,
166],[1,4,5,7,10,15,25,26,27,35,55,64,74,89,114,167],[1,2,3,4,10,12,13,19,28,
29,53,56,73,168],[1,4,7,10,15,19,23,25,55,56,69,169],[1,3,4,5,6,7,8,13,15,17,
22,26,31,33,35,37,38,39,61,64,72,104,105,124,170],[1,2,3,4,8,10,12,13,17,23,
28,30,53,57,69,111,113,171],[1,2,3,4,10,12,13,23,28,29,53,69,73,122,172],[1,2,
4,5,12,18,19,24,26,63,67,71,87,92,173],[1,4,5,10,11,14,26,27,51,54,70,84,114,
174],[1,4,7,10,15,25,34,55,78,175],[1,2,3,4,5,11,12,16,24,26,28,51,65,68,82,
92,176],[1,2,4,6,12,18,19,27,31,59,63,75,102,106,177],[1,3,4,13,18,19,24,27,
66,67,75,77,86,178],[1,4,6,10,19,24,31,56,59,67,94,97,179],[1,4,10,11,14,19,
23,54,56,69,180],[1,4,10,11,14,24,54,68,181],[1,2,4,5,7,8,12,15,17,24,26,35,
36,60,62,64,91,92,182],[1,4,8,10,17,18,23,30,52,57,69,117,183],[1,3,4,7,8,13,
15,17,24,27,38,60,72,74,86,116,184],[1,4,8,10,11,14,17,29,30,54,57,73,121,
185],[1,4,10,11,14,18,29,52,54,73,186],[1,4,8,10,17,23,29,30,57,69,73,187],[1,
4,10,19,56,112,188],[1,3,4,10,16,23,29,48,69,73,189],[1,2,4,6,7,8,12,15,17,27,
31,33,36,61,62,74,106,107,190],[1,3,4,5,6,13,18,19,22,26,31,37,59,66,71,103,
104,191],[1,4,10,18,19,29,52,56,73,192],[1,4,6,10,11,14,24,31,50,54,68,94,98,
193],[1,4,10,18,23,29,52,69,73,194],[1,2,3,4,10,12,13,18,23,28,52,53,69,195],[
1,4,10,19,56,115,196],[1,2,3,4,7,10,12,13,15,25,28,29,53,55,73,85,110,197],[1,
4,10,23,29,69,73,198],[1,2,3,4,6,11,12,16,27,28,31,50,65,70,79,106,199],[1,4,
7,8,10,15,17,25,29,30,55,57,73,119,200],[1,3,4,11,13,16,24,27,49,68,70,83,86,
201],[1,4,5,10,19,26,27,56,71,75,101,114,202],[1,3,4,5,6,11,13,16,22,24,26,27,
31,37,49,79,82,84,86,98,104,203],[1,4,6,7,11,15,19,24,31,33,50,59,61,76,81,97,
98,204],[1,2,3,4,5,6,11,12,16,24,26,27,28,31,37,65,83,84,92,98,100,106,205],[
1,4,6,7,15,29,31,32,33,61,95,96,206],[1,4,6,19,23,31,59,88,112,207],[1,3,4,6,
8,16,17,19,24,27,31,75,79,83,97,99,107,116,208],[1,4,7,15,20,21,24,25,34,60,
78,80,209],[1,4,6,7,15,20,21,25,31,33,34,61,78,80,126,210],[1,3,4,5,6,8,16,17,
19,24,26,31,37,39,71,82,91,97,99,100,105,211],[1,4,5,7,11,15,19,26,27,35,51,
64,71,76,84,89,101,212],[1,4,6,8,11,17,18,24,27,31,70,77,98,102,107,108,116,
213],[1,3,4,7,8,13,15,17,20,21,25,29,38,72,80,96,110,119,214],[1,4,7,15,24,29,
32,60,95,96,215],[1,3,4,5,6,8,16,17,19,26,27,31,37,39,59,79,99,100,101,105,
107,216],[1,4,5,8,11,17,18,24,26,27,68,77,84,87,91,108,116,217],[1,4,5,6,8,11,
17,18,24,26,31,39,51,87,91,98,103,105,108,218],[1,2,3,4,7,8,11,12,15,16,17,18,
19,28,36,62,63,65,76,90,99,108,219],[1,4,8,19,27,30,75,93,112,220],[1,3,4,5,6,
10,16,24,26,27,31,37,48,79,82,83,94,100,114,221],[1,4,5,6,10,18,24,26,27,31,
52,77,87,94,102,103,114,222],[1,4,5,6,8,11,17,18,26,27,31,39,50,84,102,103,
105,107,108,223],[1,4,5,6,8,10,17,24,26,27,30,31,39,57,91,94,105,107,114,116,
224],[1,4,5,7,15,20,21,25,26,32,35,64,80,95,123,225],[1,2,4,7,8,12,15,17,20,
21,25,29,36,62,80,85,96,119,226],[1,2,3,4,5,6,10,12,13,22,24,26,27,28,31,37,
53,86,92,94,104,106,114,227],[1,3,4,5,6,7,15,16,18,26,27,31,33,37,61,79,89,90,
100,102,103,228],[1,4,5,7,15,26,29,34,35,64,78,96,229],[1,3,4,7,8,13,15,17,32,
34,38,72,78,95,230],[1,4,7,15,20,21,25,27,32,74,80,95,231],[1,4,6,8,19,30,31,
59,93,115,232],[1,2,3,4,11,12,16,24,27,28,65,68,70,233],[1,4,6,7,11,15,19,24,
31,60,67,68,76,81,97,98,234],[1,3,4,5,7,15,16,18,24,26,27,60,77,82,83,87,89,
90,235],[1,3,4,5,6,13,18,19,22,24,26,27,31,37,66,86,87,97,101,102,104,236],[1,
2,4,5,6,12,18,19,24,26,27,31,63,77,92,97,101,103,106,237],[1,2,4,5,6,7,8,12,
15,17,24,26,27,31,36,39,62,81,89,92,105,106,116,238],[1,3,4,5,6,7,15,16,18,24,
26,31,35,37,64,81,82,87,90,100,103,239],[1,3,4,6,7,15,16,18,24,27,31,74,77,79,
81,83,90,102,240],[1,3,4,5,6,7,8,13,15,17,22,24,26,27,31,37,38,72,81,86,89,91,
104,107,241],[1,2,4,12,18,19,63,112,115,242],[1,4,19,23,27,75,88,115,243],[1,
4,7,15,27,29,34,74,78,96,244],[1,2,4,7,8,12,15,17,32,34,36,62,78,95,125,245],[
1,4,5,7,11,15,19,26,27,70,74,75,76,84,89,101,246],[1,4,19,23,24,67,88,112,
247],[1,3,4,5,8,16,17,19,24,26,27,67,82,83,91,99,101,116,248],[1,3,4,7,8,11,
13,15,16,17,18,19,38,49,66,72,76,90,99,108,249],[1,3,4,13,18,19,66,112,115,
250],[1,4,8,19,24,30,67,93,115,251],[1,2,4,8,12,18,19,23,30,63,88,93,111,117,
252],[1,4,5,8,19,26,30,71,93,112,253],[1,4,5,19,23,26,71,88,115,254],[1,3,4,8,
13,18,19,23,30,66,88,93,113,117,255],[1,2,3,4,7,8,12,14,23,25,28,29,30,36,38,
58,85,111,118,120,121,122,256],[1,2,3,4,7,8,13,14,16,23,25,28,29,30,36,38,109,
110,113,118,120,121,122,257],[1,7,34,40,127,258],[1,2,7,8,36,40,127,128,129,
259],[1,7,32,40,127,260],[1,4,6,9,11,31,42,50,130,261],[1,4,8,9,11,17,18,47,
108,130,262],[1,4,7,9,11,15,19,44,76,130,263],[1,4,5,9,11,26,27,45,84,130,
264],[1,3,4,9,11,13,16,46,49,130,265],[1,4,5,9,11,26,41,51,130,266],[1,4,6,9,
11,24,31,43,98,130,267],[1,4,7,9,14,23,25,44,118,132,268],[1,4,6,9,10,24,31,
43,94,131,269],[1,4,5,9,10,26,27,45,114,131,270],[1,3,4,9,10,16,46,48,131,
271],[1,2,3,4,9,12,14,28,46,58,132,272],[1,4,8,9,14,29,30,47,121,132,273],[1,
5,7,9,20,32,35,45,123,133,274],[1,6,7,9,21,33,34,43,126,141,275],[1,3,5,6,7,8,
9,22,33,35,37,38,39,41,42,43,44,45,46,47,124,134,135,136,137,138,139,140,
276],[1,2,3,4,10,11,12,13,14,16,28,48,49,53,54,58,65,109,142,148,152,277],[1,
3,4,8,10,16,17,19,30,48,56,57,93,99,144,155,157,278],[1,3,4,7,10,15,16,18,20,
21,25,48,52,55,80,90,143,147,160,279],[1,4,5,10,11,14,26,27,51,54,70,84,114,
142,163,174,280],[1,3,4,10,16,23,29,48,69,73,146,189,198,281],[1,4,6,10,11,14,
24,31,50,54,68,94,98,142,181,193,282],[1,2,3,4,7,8,10,12,13,15,17,18,23,25,28,
30,36,38,52,53,55,57,62,69,72,117,120,149,158,160,183,195,283],[1,4,7,10,11,
14,15,19,24,25,54,55,56,68,76,156,181,284],[1,2,3,4,10,11,12,13,14,16,23,28,
29,48,49,53,54,65,69,73,109,122,148,150,162,172,189,285],[1,4,7,10,11,14,15,
19,23,25,54,55,56,69,76,118,142,156,162,164,180,286],[1,4,6,7,10,11,14,15,19,
24,25,31,33,50,54,55,56,59,60,61,67,68,76,81,94,97,98,156,165,179,193,204,234,
287],[1,4,7,10,11,14,15,19,23,25,54,55,56,69,76,88,144,156,159,169,180,288],[
1,4,7,10,11,14,15,19,25,54,55,56,76,115,156,196,289],[1,3,4,8,10,16,17,19,23,
29,30,48,56,57,69,73,88,99,151,155,159,187,189,290],[1,3,4,7,10,15,16,18,23,
25,29,48,52,55,69,73,90,96,147,149,161,189,194,291],[1,2,3,4,7,8,10,11,12,13,
14,15,16,17,18,19,25,28,30,36,38,48,49,52,53,54,55,56,57,62,63,65,66,72,76,90,
99,108,109,120,147,148,153,154,155,156,158,219,249,292],[1,4,7,10,11,14,15,19,
25,32,54,55,56,76,95,156,166,293],[1,4,7,10,11,14,15,19,25,34,54,55,56,76,78,
156,175,294],[1,4,5,7,10,11,14,15,19,25,26,27,35,51,54,55,56,64,70,71,74,75,
76,84,89,101,114,156,167,174,202,212,246,295],[1,4,7,10,11,14,15,19,25,27,54,
55,56,70,76,156,163,296],[1,4,7,8,10,11,14,15,17,19,25,29,30,54,55,56,57,73,
76,93,119,121,151,156,157,185,200,297],[1,4,7,10,11,14,15,19,25,54,55,56,76,
112,156,188,298],[1,2,3,4,7,10,11,12,13,14,15,16,19,25,28,29,53,54,55,56,58,
65,73,76,85,109,110,150,152,156,168,197,299],[1,4,8,10,11,14,17,18,29,30,52,
54,57,73,108,121,142,150,153,185,186,300],[1,2,3,4,10,12,13,18,19,28,29,52,53,
56,63,66,73,144,151,154,168,192,301],[1,2,3,4,8,10,12,13,17,18,19,23,28,30,52,
53,56,57,63,66,69,88,93,111,113,117,154,157,159,171,183,252,255,302],[1,4,7,
10,11,14,15,18,19,25,29,52,54,55,56,73,76,96,156,160,161,186,192,303],[1,2,3,
4,8,10,11,12,13,14,16,17,18,23,28,30,52,53,54,57,58,65,69,108,109,111,113,152,
153,162,171,195,304],[1,2,3,4,7,8,10,12,13,15,17,20,21,25,28,29,30,36,38,53,
55,57,62,72,73,80,85,96,110,119,120,143,158,161,197,200,214,226,305],[1,4,7,
10,11,14,15,19,20,21,23,25,54,55,56,69,76,80,118,143,149,156,164,169,306],[1,
4,5,7,10,15,23,25,26,27,32,35,55,64,69,74,89,95,114,149,166,167,307],[1,3,4,7,
10,15,16,18,25,32,34,48,52,55,78,90,95,147,166,175,308],[1,4,5,7,10,15,25,26,
27,29,34,35,55,64,73,74,78,89,96,114,161,167,175,229,244,309],[1,4,5,7,10,15,
18,25,26,27,34,35,52,55,64,74,78,89,114,160,167,175,310],[1,4,6,7,10,15,20,21,
24,25,31,33,34,55,60,61,78,80,81,94,126,143,165,175,209,210,311],[1,3,4,5,6,7,
10,15,16,18,24,25,26,27,31,33,35,37,48,52,55,60,61,64,74,77,79,81,82,83,87,89,
90,94,100,102,103,114,147,165,167,221,222,228,235,239,240,312],[1,2,3,4,7,8,
10,12,13,15,17,25,28,30,32,34,36,38,53,55,57,62,72,78,95,120,125,158,166,175,
230,245,313],[1,4,6,10,11,14,23,24,31,50,54,68,69,94,98,162,181,193,314],[1,3,
4,7,8,10,15,16,17,18,19,23,25,29,30,48,52,55,56,57,69,73,90,99,117,119,147,
155,169,183,189,192,200,315],[1,4,10,11,14,18,19,23,29,52,54,56,69,73,150,151,
180,186,192,194,198,316],[1,4,5,10,11,14,23,26,27,51,54,69,70,84,114,162,163,
174,317],[1,2,3,4,7,8,10,12,13,15,17,23,25,28,29,30,53,55,57,69,73,85,110,111,
113,119,122,149,171,172,187,197,198,200,318],[1,2,3,4,5,10,11,12,13,14,16,24,
26,27,28,51,53,54,58,65,68,70,82,84,92,109,114,152,174,176,181,233,319],[1,2,
3,4,5,6,10,11,12,13,14,16,22,24,26,27,28,31,37,48,49,50,51,53,54,65,68,70,79,
82,83,84,86,92,94,98,100,104,106,109,114,145,148,174,176,193,199,201,203,205,
221,227,320],[1,2,3,4,10,11,12,13,14,16,24,27,28,48,49,53,54,65,68,70,83,86,
109,148,163,181,201,233,321],[1,4,5,10,11,14,24,26,27,29,51,54,68,70,73,84,
114,150,174,181,322],[1,4,6,7,10,15,23,24,25,31,33,34,55,60,61,69,78,81,94,
149,165,175,323],[1,2,3,4,7,10,11,12,13,14,15,16,18,23,25,28,29,48,49,52,53,
54,55,65,69,73,85,90,109,110,118,147,148,164,186,189,195,197,324],[1,4,5,6,8,
10,11,14,17,18,24,26,27,30,31,39,50,51,52,54,57,68,70,77,84,87,91,94,98,102,
103,105,107,108,114,116,153,174,193,213,217,218,222,223,224,325],[1,2,3,4,6,
10,11,12,13,14,16,24,27,28,31,50,53,54,58,65,68,70,79,94,98,106,109,152,163,
193,199,233,326],[1,4,7,8,10,11,14,15,17,23,25,29,30,54,55,57,69,73,96,118,
119,121,150,161,164,185,187,198,200,327],[1,2,3,4,10,11,12,13,14,16,18,19,23,
28,29,52,53,54,56,58,63,65,66,69,73,109,122,152,154,168,172,180,186,195,328],[
1,4,6,10,19,24,29,31,56,59,67,73,94,97,115,151,179,196,329],[1,2,3,4,5,6,7,8,
10,12,13,15,17,22,24,25,26,27,28,30,31,33,35,36,37,38,39,53,55,57,60,61,62,64,
72,74,81,86,89,91,92,94,104,105,106,107,114,116,120,124,158,165,167,170,182,
184,190,224,227,238,241,330],[1,2,3,4,7,10,12,13,15,19,23,25,28,29,53,55,56,
69,73,85,96,110,122,151,161,168,169,172,197,198,331],[1,2,3,4,7,8,10,12,13,15,
17,19,23,25,28,29,30,36,38,53,55,56,57,62,69,72,73,93,111,113,119,120,157,158,
168,169,171,187,200,332],[1,3,4,8,10,16,17,19,30,48,56,57,99,112,115,155,188,
196,333],[1,2,3,4,7,10,12,13,15,18,19,23,25,28,29,52,53,55,56,63,66,69,73,85,
110,154,160,169,192,194,195,197,334],[1,4,5,8,10,17,19,26,27,30,56,57,71,75,
93,101,112,114,157,188,202,220,253,335],[1,4,6,10,11,14,24,27,29,31,50,54,68,
70,73,94,98,150,163,193,336],[1,4,6,10,19,24,31,56,59,67,94,97,112,144,179,
188,337],[1,4,8,10,11,14,17,18,24,27,30,52,54,57,68,70,108,153,163,181,338],[
1,4,6,7,10,15,18,24,25,31,32,33,52,55,60,61,81,94,95,160,165,166,339],[1,2,3,
4,5,6,10,12,13,18,19,22,24,26,27,28,31,37,52,53,56,59,63,66,67,71,75,77,86,87,
92,94,97,101,102,103,104,106,114,154,173,177,178,179,191,202,222,227,236,237,
340],[1,4,6,8,10,17,19,24,30,31,56,57,59,67,93,94,97,115,157,179,196,232,251,
341],[1,4,6,7,10,15,24,25,29,31,32,33,55,60,61,73,81,94,95,96,161,165,166,206,
215,342],[1,4,5,10,19,26,27,29,56,71,73,75,101,112,114,151,188,202,343],[1,4,
5,7,10,15,20,21,25,26,27,32,35,55,64,74,80,89,95,114,123,143,166,167,225,231,
344],[1,2,3,4,8,10,12,13,17,18,23,28,29,30,52,53,57,69,73,111,113,117,122,146,
171,172,183,187,194,195,345],[1,4,7,10,11,14,15,19,23,25,54,55,56,69,88,118,
146,149,159,162,164,169,180,346],[1,4,7,8,10,11,14,15,17,18,23,25,29,30,52,54,
55,57,69,73,108,117,118,119,153,160,164,183,186,194,200,347],[1,4,8,10,11,14,
17,18,23,29,30,52,54,57,69,73,117,121,162,183,185,186,187,194,198,348],[1,2,3,
4,10,12,13,18,19,28,52,53,56,63,66,112,115,154,188,196,242,250,349],[1,4,8,10,
11,14,17,18,19,23,29,30,52,54,56,57,69,73,93,108,117,121,153,157,180,183,185,
187,192,350],[1,2,3,4,10,12,13,18,19,23,28,29,52,53,56,69,73,88,122,159,168,
172,192,194,195,198,351],[1,2,3,4,8,10,11,12,13,14,16,17,19,23,28,29,30,48,49,
53,54,56,57,65,69,73,99,109,111,113,121,148,155,168,171,180,185,189,352],[1,2,
3,4,7,8,10,11,12,13,14,15,16,17,23,25,28,29,30,36,38,53,54,55,57,58,62,65,69,
72,73,85,109,110,111,113,118,120,121,122,152,158,164,171,172,185,197,256,257,
353],[1,3,4,5,6,8,10,16,17,19,24,26,27,30,31,37,39,48,56,57,59,67,71,75,79,82,
83,91,94,97,99,100,101,105,107,114,116,155,179,202,208,211,216,221,224,248,
354],[1,4,5,10,19,23,26,27,56,69,71,75,88,101,114,115,159,196,202,243,254,
355],[1,4,6,10,19,23,24,31,56,59,67,69,88,94,97,112,159,179,188,207,247,356],[
1,4,5,10,19,26,27,56,71,75,101,114,115,144,196,202,357],[1,3,4,5,6,7,8,11,13,
15,16,17,18,19,22,24,26,27,31,37,38,49,60,66,67,68,70,72,74,75,76,77,79,81,82,
83,84,86,87,89,90,91,97,98,99,101,102,104,107,108,116,178,184,201,203,208,213,
217,234,235,236,240,241,246,248,249,358],[1,3,4,5,6,8,13,18,19,22,23,26,30,31,
37,59,66,71,88,93,103,104,112,113,115,117,191,207,232,250,253,254,255,359],[1,
2,3,4,5,6,7,8,11,12,15,16,17,18,19,24,26,27,28,31,35,36,37,39,51,60,62,63,64,
65,67,68,71,76,77,81,82,83,84,87,89,90,91,92,97,98,99,100,101,103,105,106,108,
116,173,176,182,205,211,212,217,218,219,234,235,237,238,239,248,360],[1,2,4,5,
7,8,12,15,17,20,21,24,25,26,29,32,34,35,36,60,62,64,78,80,85,91,92,95,96,119,
123,125,182,209,215,225,226,229,245,361],[1,2,4,6,7,8,12,15,17,20,21,25,27,29,
31,32,33,34,36,61,62,74,78,80,85,95,96,106,107,119,125,126,190,206,210,226,
231,244,245,362],[1,3,4,5,6,7,8,11,13,15,16,17,18,19,22,24,26,27,31,33,35,37,
38,39,49,50,51,59,61,64,66,71,72,76,79,81,82,84,86,87,89,90,91,97,98,99,100,
101,102,103,104,105,107,108,124,145,170,191,203,204,211,212,216,218,223,228,
236,239,241,249,363],[1,2,4,6,8,12,18,19,23,27,30,31,59,63,75,88,93,102,106,
111,112,115,117,177,207,220,232,242,243,252,364],[1,2,3,4,5,6,7,8,11,12,15,16,
17,18,19,24,26,27,28,31,33,36,37,39,50,59,61,62,63,65,70,74,75,76,77,79,81,83,
84,89,90,92,97,98,99,100,101,102,103,105,106,107,108,116,177,190,199,204,205,
208,213,216,219,223,228,237,238,240,246,365],[1,3,4,7,8,13,15,17,20,21,24,25,
27,29,32,34,38,60,72,74,78,80,86,95,96,110,116,119,184,209,214,215,230,231,
244,366],[1,3,4,5,6,7,8,13,15,17,20,21,22,25,26,29,31,32,33,34,35,37,38,39,61,
64,72,78,80,95,96,104,105,110,119,123,124,126,170,206,210,214,225,229,230,
367],[1,2,4,5,8,12,18,19,23,24,26,30,63,67,71,87,88,92,93,111,112,115,117,173,
242,247,251,252,253,254,368],[1,3,4,8,13,18,19,23,24,27,30,66,67,75,77,86,88,
93,112,113,115,117,178,220,243,247,250,251,255,369],[1,2,7,8,32,34,36,40,125,
127,128,129,258,259,260,370],[1,4,9,10,11,14,54,130,131,132,142,371],[1,4,7,9,
10,15,20,21,25,55,80,131,133,141,143,372],[1,4,9,10,19,56,131,144,373],[1,3,4,
5,6,9,11,13,16,22,26,31,37,41,42,46,49,50,51,100,104,130,136,145,261,265,266,
374],[1,4,5,6,8,9,11,17,18,26,27,31,39,42,45,47,50,84,102,103,105,107,108,130,
135,223,261,262,264,375],[1,3,4,7,8,9,11,13,15,16,17,18,19,38,44,46,47,49,66,
72,76,90,99,108,130,140,249,262,263,265,376],[1,4,9,10,23,69,131,146,377],[1,
4,6,7,9,11,15,19,24,31,33,42,43,44,50,59,61,76,81,97,98,130,134,204,261,263,
267,378],[1,4,5,6,8,9,11,17,18,24,26,31,39,41,43,47,51,87,91,98,103,105,108,
130,138,218,262,266,267,379],[1,4,5,7,9,11,15,19,26,27,35,41,44,45,51,64,71,
76,84,89,101,130,139,212,263,264,266,380],[1,3,4,5,6,9,11,13,16,22,24,26,27,
31,37,43,45,46,49,79,82,84,86,98,104,130,137,203,264,265,267,381],[1,3,4,5,6,
9,10,16,24,26,27,31,37,43,45,46,48,79,82,83,94,100,114,131,137,221,269,270,
271,382],[1,2,3,4,7,8,9,12,14,23,25,28,29,30,36,38,44,46,47,58,85,111,118,120,
121,122,132,140,256,268,272,273,383],[1,7,9,21,40,44,127,141,384],[1,7,9,20,
40,44,127,133,385],[1,4,7,10,11,14,15,19,20,21,23,25,54,55,56,69,76,80,88,118,
142,143,144,146,149,156,159,162,164,169,180,286,288,306,346,386],[1,2,3,4,5,6,
10,11,12,13,14,16,22,24,26,27,28,31,37,48,49,50,51,53,54,58,65,68,70,79,82,83,
84,86,92,94,98,100,104,106,109,114,142,145,148,152,163,174,176,181,193,199,
201,203,205,221,227,233,277,280,282,319,320,321,326,387],[1,4,6,7,10,11,14,15,
19,20,21,23,24,25,31,33,34,50,54,55,56,59,60,61,67,68,69,76,78,80,81,94,97,98,
118,126,143,149,156,164,165,169,175,179,193,204,209,210,234,287,294,306,311,
323,388],[1,4,7,10,11,14,15,18,19,25,27,29,52,54,55,56,70,73,76,96,112,156,
160,161,163,186,188,192,296,298,303,389],[1,4,5,7,10,11,14,15,19,20,21,23,25,
26,27,32,35,51,54,55,56,64,69,70,71,74,75,76,80,84,89,95,101,114,118,123,143,
149,156,164,166,167,169,174,202,212,225,231,246,293,295,306,307,344,390],[1,4,
5,7,10,11,14,15,19,23,25,26,27,35,51,54,55,56,64,69,70,71,74,75,76,84,88,89,
101,114,115,144,156,159,167,169,174,180,196,202,212,243,246,254,288,289,295,
355,357,391],[1,4,6,7,10,11,14,15,19,23,24,25,31,33,50,54,55,56,59,60,61,67,
68,69,76,81,94,97,98,118,142,156,162,164,165,179,180,181,193,204,234,282,284,
286,287,314,392],[1,4,6,7,10,11,14,15,19,23,24,25,31,33,50,54,55,56,59,60,61,
67,68,69,76,81,88,94,97,98,112,144,156,159,165,169,179,180,188,193,204,207,
234,247,287,288,298,337,356,393],[1,2,3,4,5,6,7,8,10,11,12,13,14,15,16,17,18,
19,22,24,25,26,27,28,30,31,33,35,36,37,38,39,48,49,50,51,52,53,54,55,56,57,59,
60,61,62,63,64,65,66,67,68,70,71,72,74,75,76,77,79,81,82,83,84,86,87,89,90,91,
92,94,97,98,99,100,101,102,103,104,105,106,107,108,109,114,116,120,124,145,
147,148,153,154,155,156,158,165,167,170,173,174,176,177,178,179,182,184,190,
191,193,199,201,202,203,204,205,208,211,212,213,216,217,218,219,221,222,223,
224,227,228,234,235,236,237,238,239,240,241,246,248,249,287,292,295,312,320,
325,330,340,354,358,360,363,365,394],[1,4,6,7,10,11,14,15,18,19,24,25,29,31,
32,33,50,52,54,55,56,59,60,61,67,68,73,76,81,94,95,96,97,98,156,160,161,165,
166,179,186,192,193,204,206,215,234,287,293,303,339,342,395],[1,2,3,4,6,7,10,
11,12,13,14,15,16,19,24,25,27,28,29,31,33,50,53,54,55,56,58,59,60,61,65,67,68,
70,73,76,79,81,85,94,97,98,106,109,110,150,152,156,163,165,168,179,193,197,
199,204,233,234,287,296,299,326,336,396],[1,4,6,7,8,10,11,14,15,17,19,24,25,
29,30,31,33,50,54,55,56,57,59,60,61,67,68,73,76,81,93,94,97,98,115,119,121,
151,156,157,165,179,185,193,196,200,204,232,234,251,287,289,297,329,341,397],[
1,4,7,10,11,14,15,18,19,24,25,29,52,54,55,56,68,73,76,96,115,156,160,161,181,
186,192,196,284,289,303,398],[1,4,5,7,8,10,11,14,15,17,19,25,26,27,29,30,35,
51,54,55,56,57,64,70,71,73,74,75,76,84,89,93,101,112,114,119,121,151,156,157,
167,174,185,188,200,202,212,220,246,253,295,297,298,335,343,399],[1,4,7,10,11,
14,15,19,23,25,32,54,55,56,69,76,95,115,118,142,156,162,164,166,180,196,286,
289,293,400],[1,4,7,8,10,11,14,15,17,18,19,23,25,29,30,52,54,55,56,57,69,73,
76,93,96,108,117,118,119,121,142,150,151,153,156,157,160,161,162,164,180,183,
185,186,187,192,194,198,200,286,297,300,303,316,327,347,348,350,401],[1,2,3,4,
7,8,10,11,12,13,14,15,16,17,18,19,20,21,23,25,28,29,30,36,38,48,49,52,53,54,
55,56,57,62,63,65,66,69,72,73,76,80,85,90,96,99,108,109,110,117,118,119,120,
143,147,148,149,153,154,155,156,158,160,161,164,169,183,186,189,192,194,195,
197,200,214,219,226,249,279,283,291,292,303,305,306,315,324,334,347,402],[1,4,
7,10,11,14,15,19,23,24,25,34,54,55,56,68,69,76,78,88,144,156,159,169,175,180,
181,284,288,294,403],[1,4,7,10,11,14,15,19,20,21,23,25,27,54,55,56,69,70,76,
80,115,118,143,149,156,163,164,169,196,289,296,306,404],[1,2,3,4,7,8,10,11,12,
13,14,15,16,17,19,20,21,23,25,28,29,30,36,38,53,54,55,56,57,58,62,65,69,72,73,
76,80,85,93,96,109,110,111,113,118,119,120,121,122,143,149,150,151,152,156,
157,158,161,164,168,169,171,172,185,187,197,198,200,214,226,256,257,297,299,
305,306,318,327,331,332,353,405],[1,4,7,10,11,14,15,19,23,25,34,54,55,56,69,
76,78,112,118,142,156,162,164,175,180,188,286,294,298,406],[1,4,7,8,10,11,14,
15,17,19,25,27,29,30,34,54,55,56,57,70,73,76,78,93,119,121,151,156,157,163,
175,185,200,294,296,297,407],[1,4,5,7,10,11,14,15,18,19,25,26,27,29,34,35,51,
52,54,55,56,64,70,71,73,74,75,76,78,84,89,96,101,114,156,160,161,167,174,175,
186,192,202,212,229,244,246,294,295,303,309,310,408],[1,2,3,4,7,8,10,11,12,13,
14,15,16,17,18,19,25,28,30,32,34,36,38,48,49,52,53,54,55,56,57,62,63,65,66,72,
76,78,90,95,99,108,109,120,125,147,148,153,154,155,156,158,166,175,219,230,
245,249,292,293,294,308,313,409],[1,2,3,4,7,10,11,12,13,14,15,16,19,25,28,29,
34,53,54,55,56,58,65,73,76,78,85,109,110,115,150,152,156,168,175,196,197,289,
294,299,410],[1,2,3,4,7,10,11,12,13,14,15,16,19,25,28,29,32,53,54,55,56,58,65,
73,76,85,95,109,110,112,150,152,156,166,168,188,197,293,298,299,411],[1,4,5,7,
10,11,14,15,19,23,25,26,27,35,51,54,55,56,64,69,70,71,74,75,76,84,89,101,114,
118,142,156,162,163,164,167,174,180,202,212,246,280,286,295,296,317,412],[1,2,
3,4,7,8,10,11,12,13,14,15,16,17,18,19,25,28,30,36,38,48,49,52,53,54,55,56,57,
62,63,65,66,72,76,90,99,108,109,112,115,120,147,148,153,154,155,156,158,188,
196,219,242,249,250,289,292,298,333,349,413],[1,4,7,10,11,14,15,19,20,21,23,
24,25,54,55,56,68,69,76,80,112,118,143,149,156,164,169,181,188,284,298,306,
414],[1,2,3,4,7,8,10,11,12,13,14,15,16,17,18,19,23,25,28,29,30,36,38,48,49,52,
53,54,55,56,57,62,63,65,66,69,72,73,76,88,90,93,99,108,109,111,113,117,119,
120,121,144,147,148,151,153,154,155,156,157,158,159,168,169,171,180,183,185,
187,189,192,200,219,249,252,255,278,288,290,292,297,301,302,315,332,350,352,
415],[1,4,7,10,11,14,15,19,23,25,27,32,54,55,56,69,70,76,88,95,144,156,159,
163,166,169,180,288,293,296,416],[1,2,3,4,7,10,11,12,13,14,15,16,18,19,23,25,
28,29,52,53,54,55,56,58,63,65,66,69,73,76,85,88,96,109,110,122,144,150,151,
152,154,156,159,160,161,168,169,172,180,186,192,194,195,197,198,288,299,301,
303,316,328,331,334,351,417],[1,2,3,4,5,7,10,11,12,13,14,15,16,19,24,25,26,27,
28,29,35,51,53,54,55,56,58,64,65,68,70,71,73,74,75,76,82,84,85,89,92,101,109,
110,114,150,152,156,167,168,174,176,181,197,202,212,233,246,284,295,299,319,
322,418],[1,2,3,4,7,8,10,11,12,13,14,15,16,17,18,19,24,25,27,28,30,36,38,48,
49,52,53,54,55,56,57,62,63,65,66,68,70,72,76,83,86,90,99,108,109,120,147,148,
153,154,155,156,158,163,181,201,219,233,249,284,292,296,321,338,419],[1,4,7,8,
10,11,14,15,17,19,24,25,29,30,32,54,55,56,57,68,73,76,93,95,119,121,151,156,
157,166,181,185,200,284,293,297,420],[1,2,3,4,7,8,10,11,12,13,14,15,16,17,18,
19,23,25,28,29,30,36,38,48,49,52,53,54,55,56,57,58,62,63,65,66,69,72,73,76,85,
90,99,108,109,110,111,113,118,120,121,122,142,147,148,150,152,153,154,155,156,
158,162,164,168,171,172,180,185,186,189,195,197,219,249,256,257,277,285,286,
292,299,300,304,324,328,352,353,421],[1,2,3,4,5,6,8,10,11,12,13,14,16,17,18,
23,24,26,27,28,30,31,39,50,51,52,53,54,57,58,65,68,69,70,77,79,82,84,87,91,92,
94,98,102,103,105,106,107,108,109,111,113,114,116,152,153,162,163,171,174,176,
181,193,195,199,213,217,218,222,223,224,233,304,314,317,319,325,326,338,422],[
1,3,4,5,6,7,10,15,16,18,20,21,24,25,26,27,31,32,33,34,35,37,48,52,55,60,61,64,
74,77,78,79,80,81,82,83,87,89,90,94,95,100,102,103,114,123,126,143,147,160,
165,166,167,175,209,210,221,222,225,228,231,235,239,240,279,308,310,311,312,
339,344,423],[1,2,3,4,5,6,10,11,12,13,14,16,22,23,24,26,27,28,29,31,37,48,49,
50,51,53,54,65,68,69,70,73,79,82,83,84,86,92,94,98,100,104,106,109,114,122,
145,148,150,162,163,172,174,176,181,189,193,199,201,203,205,221,227,233,285,
314,317,320,321,322,336,424],[1,3,4,5,6,7,10,15,16,18,23,24,25,26,27,29,31,32,
33,34,35,37,48,52,55,60,61,64,69,73,74,77,78,79,81,82,83,87,89,90,94,95,96,
100,102,103,114,147,149,161,165,166,167,175,189,194,206,215,221,222,228,229,
235,239,240,244,291,307,308,309,312,323,342,425],[1,3,4,5,6,8,10,16,17,19,24,
26,27,30,31,37,39,48,56,57,59,67,71,75,79,82,83,91,93,94,97,99,100,101,105,
107,112,114,115,116,144,155,157,179,188,196,202,208,211,216,220,221,224,232,
248,251,253,278,333,335,337,341,354,357,426],[1,2,3,4,5,6,7,8,10,12,13,15,17,
20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,53,55,57,60,61,62,64,
72,73,74,78,80,81,85,86,89,91,92,94,95,96,104,105,106,107,110,114,116,119,120,
123,124,125,126,143,158,161,165,166,167,170,175,182,184,190,197,200,206,209,
210,214,215,224,225,226,227,229,230,231,238,241,244,245,305,309,311,313,330,
342,344,361,362,366,367,427],[1,2,3,4,7,8,10,11,12,13,14,15,16,17,18,19,23,25,
28,29,30,48,49,52,53,54,55,56,57,65,69,73,85,88,90,96,99,109,110,111,113,117,
118,119,121,122,146,147,148,149,150,151,155,159,161,162,164,168,169,171,172,
180,183,185,186,187,189,192,194,195,197,198,200,281,285,290,291,315,316,318,
324,327,331,345,346,348,351,352,428],[1,4,5,6,8,10,11,14,17,18,24,26,27,29,30,
31,39,50,51,52,54,57,68,70,73,77,84,87,91,94,98,102,103,105,107,108,114,116,
121,142,150,153,163,174,181,185,186,193,213,217,218,222,223,224,280,282,300,
322,325,336,338,429],[1,2,3,4,7,8,10,11,12,13,14,15,16,17,18,19,23,25,28,29,
30,36,38,52,53,54,55,56,57,58,62,63,65,66,69,72,73,85,88,93,108,109,110,111,
113,117,118,119,120,121,122,146,149,152,153,154,157,158,159,160,162,164,168,
169,171,172,180,183,185,186,187,192,194,195,197,198,200,252,255,256,257,283,
302,304,318,328,332,334,345,346,347,348,350,351,353,430],[1,2,3,4,5,6,7,8,10,
12,13,15,17,18,22,23,24,25,26,27,28,30,31,32,33,34,35,36,37,38,39,52,53,55,57,
60,61,62,64,69,72,74,78,81,86,89,91,92,94,95,104,105,106,107,114,116,117,120,
124,125,149,158,160,165,166,167,170,175,182,183,184,190,195,224,227,230,238,
241,245,283,307,310,313,323,330,339,431],[1,2,3,4,5,6,10,12,13,18,19,22,24,26,
27,28,29,31,37,52,53,56,59,63,66,67,71,73,75,77,86,87,92,94,97,101,102,103,
104,106,112,114,115,144,151,154,168,173,177,178,179,188,191,192,196,202,222,
227,236,237,242,250,301,329,337,340,343,349,357,432],[1,3,4,5,6,8,10,16,17,19,
23,24,26,27,29,30,31,37,39,48,56,57,59,67,69,71,73,75,79,82,83,88,91,94,97,99,
100,101,105,107,112,114,115,116,151,155,159,179,187,188,189,196,202,207,208,
211,216,221,224,243,247,248,254,290,329,333,343,354,355,356,433],[1,2,3,4,5,6,
8,10,12,13,17,18,19,22,23,24,26,27,28,30,31,37,52,53,56,57,59,63,66,67,69,71,
75,77,86,87,88,92,93,94,97,101,102,103,104,106,111,112,113,114,115,117,154,
157,159,171,173,177,178,179,183,188,191,196,202,207,220,222,227,232,236,237,
242,243,247,250,251,252,253,254,255,302,335,340,341,349,355,356,359,364,368,
369,434],[1,4,10,11,14,40,54,142,435],[1,4,6,9,10,11,14,24,31,42,50,54,68,94,
98,130,131,132,142,181,193,261,282,371,436],[1,4,7,9,10,11,14,15,19,23,25,44,
54,55,56,69,76,118,130,131,132,142,156,162,164,180,263,268,286,371,437],[1,4,
5,9,10,11,14,26,27,45,51,54,70,84,114,130,131,132,142,163,174,264,270,280,371,
438],[1,4,5,9,10,11,14,26,27,41,51,54,70,84,114,130,131,132,142,163,174,266,
280,371,439],[1,2,3,4,9,10,11,12,13,14,16,28,46,48,49,53,54,58,65,109,130,131,
132,142,148,152,265,271,272,277,371,440],[1,4,6,9,10,11,14,24,31,43,50,54,68,
94,98,130,131,132,142,181,193,267,269,282,371,441],[1,4,8,9,10,11,14,17,18,29,
30,47,52,54,57,73,108,121,130,131,132,142,150,153,185,186,262,273,300,371,
442],[1,4,6,7,9,10,15,20,21,24,25,31,33,34,43,55,60,61,78,80,81,94,126,131,
133,141,143,165,175,209,210,269,275,311,372,443],[1,4,5,7,9,10,15,20,21,25,26,
27,32,35,45,55,64,74,80,89,95,114,123,131,133,141,143,166,167,225,231,270,274,
344,372,444],[1,4,6,9,10,19,24,31,43,56,59,67,94,97,112,131,144,179,188,269,
337,373,445],[1,4,5,9,10,19,26,27,45,56,71,75,101,114,115,131,144,196,202,270,
357,373,446],[1,3,4,7,9,10,15,16,18,20,21,25,46,48,52,55,80,90,131,133,141,
143,147,160,271,279,372,447],[1,3,4,8,9,10,16,17,19,30,46,48,56,57,93,99,131,
144,155,157,271,278,373,448],[1,3,4,5,6,7,8,9,11,13,15,16,17,18,19,22,24,26,
27,31,33,35,37,38,39,41,42,43,44,45,46,47,49,50,51,59,61,64,66,71,72,76,79,81,
82,84,86,87,89,90,91,97,98,99,100,101,102,103,104,105,107,108,124,130,134,135,
136,137,138,139,140,145,170,191,203,204,211,212,216,218,223,228,236,239,241,
249,261,262,263,264,265,266,267,276,363,374,375,376,378,379,380,381,449],[1,3,
4,9,10,16,23,29,46,48,69,73,131,146,189,198,271,281,377,450],[1,6,7,9,21,33,
34,40,42,43,44,126,127,134,141,258,275,384,451],[1,5,7,9,20,32,35,40,41,44,45,
123,127,133,139,260,274,385,452],[1,2,3,4,7,8,10,11,12,13,14,15,16,17,18,19,
20,21,23,25,28,29,30,36,38,48,49,52,53,54,55,56,57,58,62,63,65,66,69,72,73,76,
80,85,88,90,93,96,99,108,109,110,111,113,117,118,119,120,121,122,142,143,144,
146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,164,168,
169,171,172,180,183,185,186,187,189,192,194,195,197,198,200,214,219,226,249,
252,255,256,257,277,278,279,281,283,285,286,288,290,291,292,297,299,300,301,
302,303,304,305,306,315,316,318,324,327,328,331,332,334,345,346,347,348,350,
351,352,353,386,401,402,405,415,417,421,428,430,453],[1,2,3,4,6,7,10,11,12,13,
14,15,16,18,19,23,24,25,27,28,29,31,32,33,50,52,53,54,55,56,58,59,60,61,63,65,
66,67,68,69,70,73,76,79,81,85,88,94,95,96,97,98,106,109,110,112,122,144,150,
151,152,154,156,159,160,161,163,165,166,168,169,172,179,180,186,188,192,193,
194,195,197,198,199,204,206,207,215,233,234,247,287,288,293,296,298,299,301,
303,316,326,328,331,334,336,337,339,342,351,356,389,393,395,396,411,416,417,
454],[1,2,3,4,6,7,8,10,11,12,13,14,15,16,17,19,20,21,23,24,25,27,28,29,30,31,
33,34,36,38,50,53,54,55,56,57,58,59,60,61,62,65,67,68,69,70,72,73,76,78,79,80,
81,85,93,94,96,97,98,106,109,110,111,113,115,118,119,120,121,122,126,143,149,
150,151,152,156,157,158,161,163,164,165,168,169,171,172,175,179,185,187,193,
196,197,198,199,200,204,209,210,214,226,232,233,234,251,256,257,287,289,294,
296,297,299,305,306,311,318,323,326,327,329,331,332,336,341,353,388,396,397,
404,405,407,410,455],[1,2,3,4,5,6,7,8,10,11,12,13,14,15,16,17,18,19,22,23,24,
25,26,27,28,29,30,31,33,35,36,37,38,39,48,49,50,51,52,53,54,55,56,57,58,59,60,
61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,81,82,83,84,85,86,87,89,
90,91,92,94,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,113,114,
116,118,120,121,122,124,142,145,147,148,150,152,153,154,155,156,158,162,163,
164,165,167,168,170,171,172,173,174,176,177,178,179,180,181,182,184,185,186,
189,190,191,193,195,197,199,201,202,203,204,205,208,211,212,213,216,217,218,
219,221,222,223,224,227,228,233,234,235,236,237,238,239,240,241,246,248,249,
256,257,277,280,282,284,285,286,287,292,295,296,299,300,304,312,314,317,319,
320,321,322,324,325,326,328,330,336,338,340,352,353,354,358,360,363,365,387,
392,394,396,412,418,419,421,422,424,429,456],[1,2,3,4,5,6,7,8,10,11,12,13,14,
15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,48,
49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,
76,77,78,79,80,81,82,83,84,85,86,87,89,90,91,92,94,95,96,97,98,99,100,101,102,
103,104,105,106,107,108,109,110,114,116,117,118,119,120,123,124,125,126,143,
145,147,148,149,153,154,155,156,158,160,161,164,165,166,167,169,170,173,174,
175,176,177,178,179,182,183,184,186,189,190,191,192,193,194,195,197,199,200,
201,202,203,204,205,206,208,209,210,211,212,213,214,215,216,217,218,219,221,
222,223,224,225,226,227,228,229,230,231,234,235,236,237,238,239,240,241,244,
245,246,248,249,279,283,287,291,292,293,294,295,303,305,306,307,308,309,310,
311,312,313,315,320,323,324,325,330,334,339,340,342,344,347,354,358,360,361,
362,363,365,366,367,388,390,394,395,402,408,409,423,425,427,431,457],[1,2,3,4,
7,8,10,11,12,13,14,15,16,17,18,19,23,24,25,27,28,29,30,32,34,36,38,48,49,52,
53,54,55,56,57,62,63,65,66,68,69,70,72,73,76,78,83,86,88,90,93,95,99,108,109,
111,113,117,119,120,121,125,144,147,148,151,153,154,155,156,157,158,159,163,
166,168,169,171,175,180,181,183,185,187,189,192,200,201,219,230,233,245,249,
252,255,278,284,288,290,292,293,294,296,297,301,302,308,313,315,321,332,338,
350,352,403,407,409,415,416,419,420,458],[1,2,3,4,5,7,8,10,11,12,13,14,15,16,
17,19,20,21,23,24,25,26,27,28,29,30,32,35,36,38,51,53,54,55,56,57,58,62,64,65,
68,69,70,71,72,73,74,75,76,80,82,84,85,89,92,93,95,96,101,109,110,111,112,113,
114,118,119,120,121,122,123,143,149,150,151,152,156,157,158,161,164,166,167,
168,169,171,172,174,176,181,185,187,188,197,198,200,202,212,214,220,225,226,
231,233,246,253,256,257,284,293,295,297,298,299,305,306,307,318,319,322,327,
331,332,335,343,344,353,390,399,405,411,414,418,420,459],[1,4,6,7,8,10,11,14,
15,17,18,19,23,24,25,29,30,31,32,33,50,52,54,55,56,57,59,60,61,67,68,69,73,76,
81,93,94,95,96,97,98,108,115,117,118,119,121,142,150,151,153,156,157,160,161,
162,164,165,166,179,180,181,183,185,186,187,192,193,194,196,198,200,204,206,
215,232,234,251,282,284,286,287,289,293,297,300,303,314,316,327,329,339,341,
342,347,348,350,392,395,397,398,400,401,420,460],[1,2,3,4,5,6,7,8,10,11,12,13,
14,15,16,17,18,19,22,23,24,25,26,27,28,29,30,31,33,35,36,37,38,39,48,49,50,51,
52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,
81,82,83,84,86,87,88,89,90,91,92,93,94,97,98,99,100,101,102,103,104,105,106,
107,108,109,111,112,113,114,115,116,117,119,120,121,124,144,145,147,148,151,
153,154,155,156,157,158,159,165,167,168,169,170,171,173,174,176,177,178,179,
180,182,183,184,185,187,188,189,190,191,192,193,196,199,200,201,202,203,204,
205,207,208,211,212,213,216,217,218,219,220,221,222,223,224,227,228,232,234,
235,236,237,238,239,240,241,242,243,246,247,248,249,250,251,252,253,254,255,
278,287,288,289,290,292,295,297,298,301,302,312,315,320,325,329,330,332,333,
335,337,340,341,343,349,350,352,354,355,356,357,358,359,360,363,364,365,368,
369,391,393,394,397,399,413,415,426,432,433,434,461],[1,2,3,4,7,8,10,11,12,13,
14,15,16,17,18,19,20,21,23,24,25,27,28,29,30,36,38,48,49,52,53,54,55,56,57,62,
63,65,66,68,69,70,72,73,76,80,83,85,86,90,96,99,108,109,110,112,115,117,118,
119,120,143,147,148,149,153,154,155,156,158,160,161,163,164,169,181,183,186,
188,189,192,194,195,196,197,200,201,214,219,226,233,242,249,250,279,283,284,
289,291,292,296,298,303,305,306,315,321,324,333,334,338,347,349,389,398,402,
404,413,414,419,462],[1,4,5,7,10,11,14,15,19,20,21,23,25,26,27,32,35,51,54,55,
56,64,69,70,71,74,75,76,80,84,88,89,95,101,114,115,118,123,142,143,144,146,
149,156,159,162,163,164,166,167,169,174,180,196,202,212,225,231,243,246,254,
280,286,288,289,293,295,296,306,307,317,344,346,355,357,386,390,391,400,404,
412,416,463],[1,4,6,7,10,11,14,15,19,20,21,23,24,25,31,33,34,50,54,55,56,59,
60,61,67,68,69,76,78,80,81,88,94,97,98,112,118,126,142,143,144,146,149,156,
159,162,164,165,169,175,179,180,181,188,193,204,207,209,210,234,247,282,284,
286,287,288,294,298,306,311,314,323,337,346,356,386,388,392,393,403,406,414,
464],[1,2,3,4,5,7,10,11,12,13,14,15,16,18,19,23,24,25,26,27,28,29,34,35,51,52,
53,54,55,56,58,63,64,65,66,68,69,70,71,73,74,75,76,78,82,84,85,88,89,92,96,
101,109,110,114,115,122,144,150,151,152,154,156,159,160,161,167,168,169,172,
174,175,176,180,181,186,192,194,195,196,197,198,202,212,229,233,243,244,246,
254,284,288,289,294,295,299,301,303,309,310,316,319,322,328,331,334,351,355,
357,391,398,403,408,410,417,418,465],[1,4,5,7,8,10,11,14,15,17,18,19,23,25,26,
27,29,30,34,35,51,52,54,55,56,57,64,69,70,71,73,74,75,76,78,84,89,93,96,101,
108,112,114,117,118,119,121,142,150,151,153,156,157,160,161,162,163,164,167,
174,175,180,183,185,186,187,188,192,194,198,200,202,212,220,229,244,246,253,
280,286,294,295,296,297,298,300,303,309,310,316,317,327,335,343,347,348,350,
389,399,401,406,407,408,412,466],[1,2,3,4,7,8,10,11,12,13,14,15,16,17,18,19,
23,25,28,29,30,32,34,36,38,48,49,52,53,54,55,56,57,58,62,63,65,66,69,72,73,76,
78,85,90,95,99,108,109,110,111,112,113,115,118,120,121,122,125,142,147,148,
150,152,153,154,155,156,158,162,164,166,168,171,172,175,180,185,186,188,189,
195,196,197,219,230,242,245,249,250,256,257,277,285,286,289,292,293,294,298,
299,300,304,308,313,324,328,333,349,352,353,400,406,409,410,411,413,421,467],[
1,4,8,10,11,14,17,18,29,30,40,52,54,57,73,108,121,128,142,150,153,185,186,300,
435,468],[1,4,7,10,11,14,15,19,23,25,40,54,55,56,69,76,118,127,142,156,162,
164,180,286,435,469],[1,2,3,4,10,11,12,13,14,16,28,40,48,49,53,54,58,65,109,
129,142,148,152,277,435,470],[1,4,7,9,10,11,14,15,19,20,21,23,25,54,55,56,69,
76,80,88,118,130,131,132,133,141,142,143,144,146,149,156,159,162,164,169,180,
286,288,306,346,371,372,373,377,386,471],[1,2,3,4,5,6,9,10,11,12,13,14,16,22,
24,26,27,28,31,37,41,42,46,48,49,50,51,53,54,58,65,68,70,79,82,83,84,86,92,94,
98,100,104,106,109,114,130,131,132,136,142,145,148,152,163,174,176,181,193,
199,201,203,205,221,227,233,261,265,266,271,272,277,280,282,319,320,321,326,
371,374,387,436,439,440,472],[1,4,5,6,8,9,10,11,14,17,18,24,26,27,29,30,31,39,
42,45,47,50,51,52,54,57,68,70,73,77,84,87,91,94,98,102,103,105,107,108,114,
116,121,130,131,132,135,142,150,153,163,174,181,185,186,193,213,217,218,222,
223,224,261,262,264,270,273,280,282,300,322,325,336,338,371,375,429,436,438,
442,473],[1,2,3,4,7,8,9,10,11,12,13,14,15,16,17,18,19,23,25,28,29,30,36,38,44,
46,47,48,49,52,53,54,55,56,57,58,62,63,65,66,69,72,73,76,85,90,99,108,109,110,
111,113,118,120,121,122,130,131,132,140,142,147,148,150,152,153,154,155,156,
158,162,164,168,171,172,180,185,186,189,195,197,219,249,256,257,262,263,265,
268,271,272,273,277,285,286,292,299,300,304,324,328,352,353,371,376,383,421,
437,440,442,474],[1,4,6,7,9,10,11,14,15,19,23,24,25,31,33,42,43,44,50,54,55,
56,59,60,61,67,68,69,76,81,94,97,98,118,130,131,132,134,142,156,162,164,165,
179,180,181,193,204,234,261,263,267,268,269,282,284,286,287,314,371,378,392,
436,437,441,475],[1,2,3,4,5,6,9,10,11,12,13,14,16,22,24,26,27,28,31,37,43,45,
46,48,49,50,51,53,54,58,65,68,70,79,82,83,84,86,92,94,98,100,104,106,109,114,
130,131,132,137,142,145,148,152,163,174,176,181,193,199,201,203,205,221,227,
233,264,265,267,269,270,271,272,277,280,282,319,320,321,326,371,381,382,387,
438,440,441,476],[1,4,5,6,8,9,10,11,14,17,18,24,26,27,29,30,31,39,41,43,47,50,
51,52,54,57,68,70,73,77,84,87,91,94,98,102,103,105,107,108,114,116,121,130,
131,132,138,142,150,153,163,174,181,185,186,193,213,217,218,222,223,224,262,
266,267,269,273,280,282,300,322,325,336,338,371,379,429,439,441,442,477],[1,4,
5,7,9,10,11,14,15,19,23,25,26,27,35,41,44,45,51,54,55,56,64,69,70,71,74,75,76,
84,89,101,114,118,130,131,132,139,142,156,162,163,164,167,174,180,202,212,246,
263,264,266,268,270,280,286,295,296,317,371,380,412,437,438,439,478],[1,3,4,5,
6,7,9,10,15,16,18,20,21,24,25,26,27,31,32,33,34,35,37,43,45,46,48,52,55,60,61,
64,74,77,78,79,80,81,82,83,87,89,90,94,95,100,102,103,114,123,126,131,133,137,
141,143,147,160,165,166,167,175,209,210,221,222,225,228,231,235,239,240,269,
270,271,274,275,279,308,310,311,312,339,344,372,382,423,443,444,447,479],[1,3,
4,5,6,8,9,10,16,17,19,24,26,27,30,31,37,39,43,45,46,48,56,57,59,67,71,75,79,
82,83,91,93,94,97,99,100,101,105,107,112,114,115,116,131,137,144,155,157,179,
188,196,202,208,211,216,220,221,224,232,248,251,253,269,270,271,278,333,335,
337,341,354,357,373,382,426,445,446,448,480],[1,2,3,4,5,6,7,8,10,11,12,13,14,
15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,48,
49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,
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,
119,120,121,122,123,124,125,126,142,143,144,145,146,147,148,149,150,151,152,
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,
248,249,250,251,252,253,254,255,256,257,277,278,279,280,281,282,283,284,285,
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,
362,363,364,365,366,367,368,369,386,387,388,389,390,391,392,393,394,395,396,
397,398,399,400,401,402,403,404,405,406,407,408,409,410,411,412,413,414,415,
416,417,418,419,420,421,422,423,424,425,426,427,428,429,430,431,432,433,434,
453,454,455,456,457,458,459,460,461,462,463,464,465,466,467,481],[1,2,3,4,7,8,
10,11,12,13,14,15,16,17,18,19,23,25,28,29,30,36,38,40,48,49,52,53,54,55,56,57,
58,62,63,65,66,69,72,73,76,85,90,99,108,109,110,111,113,118,120,121,122,127,
128,129,142,147,148,150,152,153,154,155,156,158,162,164,168,171,172,180,185,
186,189,195,197,219,249,256,257,259,277,285,286,292,299,300,304,324,328,352,
353,421,435,468,469,470,482],[1,4,7,10,11,14,15,19,23,25,32,40,54,55,56,69,76,
95,115,118,127,142,156,162,164,166,180,196,260,286,289,293,400,435,469,483],[
1,4,7,10,11,14,15,19,23,25,34,40,54,55,56,69,76,78,112,118,127,142,156,162,
164,175,180,188,258,286,294,298,406,435,469,484],[1,4,6,7,9,10,11,14,15,19,20,
21,23,24,25,31,33,34,43,50,54,55,56,59,60,61,67,68,69,76,78,80,81,88,94,97,98,
112,118,126,130,131,132,133,141,142,143,144,146,149,156,159,162,164,165,169,
175,179,180,181,188,193,204,207,209,210,234,247,267,269,275,282,284,286,287,
288,294,298,306,311,314,323,337,346,356,371,372,373,377,386,388,392,393,403,
406,414,441,443,445,464,471,485],[1,4,5,7,9,10,11,14,15,19,20,21,23,25,26,27,
32,35,45,51,54,55,56,64,69,70,71,74,75,76,80,84,88,89,95,101,114,115,118,123,
130,131,132,133,141,142,143,144,146,149,156,159,162,163,164,166,167,169,174,
180,196,202,212,225,231,243,246,254,264,270,274,280,286,288,289,293,295,296,
306,307,317,344,346,355,357,371,372,373,377,386,390,391,400,404,412,416,438,
444,446,463,471,486],[1,2,3,4,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,23,25,
28,29,30,36,38,46,48,49,52,53,54,55,56,57,58,62,63,65,66,69,72,73,76,80,85,88,
90,93,96,99,108,109,110,111,113,117,118,119,120,121,122,130,131,132,133,141,
142,143,144,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,
162,164,168,169,171,172,180,183,185,186,187,189,192,194,195,197,198,200,214,
219,226,249,252,255,256,257,265,271,272,277,278,279,281,283,285,286,288,290,
291,292,297,299,300,301,302,303,304,305,306,315,316,318,324,327,328,331,332,
334,345,346,347,348,350,351,352,353,371,372,373,377,386,401,402,405,415,417,
421,428,430,440,447,448,450,453,471,487],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,
16,17,18,19,22,23,24,25,26,27,28,29,30,31,33,35,36,37,38,39,41,42,43,44,45,46,
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,
73,74,75,76,77,79,81,82,83,84,85,86,87,89,90,91,92,94,97,98,99,100,101,102,
103,104,105,106,107,108,109,110,111,113,114,116,118,120,121,122,124,130,131,
132,134,135,136,137,138,139,140,142,145,147,148,150,152,153,154,155,156,158,
162,163,164,165,167,168,170,171,172,173,174,176,177,178,179,180,181,182,184,
185,186,189,190,191,193,195,197,199,201,202,203,204,205,208,211,212,213,216,
217,218,219,221,222,223,224,227,228,233,234,235,236,237,238,239,240,241,246,
248,249,256,257,261,262,263,264,265,266,267,268,269,270,271,272,273,276,277,
280,282,284,285,286,287,292,295,296,299,300,304,312,314,317,319,320,321,322,
324,325,326,328,330,336,338,340,352,353,354,358,360,363,365,371,374,375,376,
378,379,380,381,382,383,387,392,394,396,412,418,419,421,422,424,429,436,437,
438,439,440,441,442,449,456,472,473,474,475,476,477,478,488],[1,2,3,4,7,8,10,
11,12,13,14,15,16,17,18,19,23,25,28,29,30,32,34,36,38,40,48,49,52,53,54,55,56,
57,58,62,63,65,66,69,72,73,76,78,85,90,95,99,108,109,110,111,112,113,115,118,
120,121,122,125,127,128,129,142,147,148,150,152,153,154,155,156,158,162,164,
166,168,171,172,175,180,185,186,188,189,195,196,197,219,230,242,245,249,250,
256,257,258,259,260,277,285,286,289,292,293,294,298,299,300,304,308,313,324,
328,333,349,352,353,370,400,406,409,410,411,413,421,435,467,468,469,470,482,
483,484,489],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,
25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,43,45,46,48,49,50,51,52,53,54,55,
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,
125,126,130,131,132,133,137,141,142,143,144,145,146,147,148,149,150,151,152,
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,
248,249,250,251,252,253,254,255,256,257,264,265,267,269,270,271,272,274,275,
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,
353,354,355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,371,372,
373,377,381,382,386,387,388,389,390,391,392,393,394,395,396,397,398,399,400,
401,402,403,404,405,406,407,408,409,410,411,412,413,414,415,416,417,418,419,
420,421,422,423,424,425,426,427,428,429,430,431,432,433,434,438,440,441,443,
444,445,446,447,448,450,453,454,455,456,457,458,459,460,461,462,463,464,465,
466,467,471,476,479,480,481,485,486,487,490],[1,4,7,9,10,11,14,15,19,20,21,23,
25,40,44,54,55,56,69,76,80,88,118,127,130,131,132,133,141,142,143,144,146,149,
156,159,162,164,169,180,263,268,286,288,306,346,371,372,373,377,384,385,386,
435,437,469,471,491],[1,4,6,7,9,10,11,14,15,19,20,21,23,24,25,31,33,34,40,42,
43,44,50,54,55,56,59,60,61,67,68,69,76,78,80,81,88,94,97,98,112,118,126,127,
130,131,132,133,134,141,142,143,144,146,149,156,159,162,164,165,169,175,179,
180,181,188,193,204,207,209,210,234,247,258,261,263,267,268,269,275,282,284,
286,287,288,294,298,306,311,314,323,337,346,356,371,372,373,377,378,384,385,
386,388,392,393,403,406,414,435,436,437,441,443,445,451,464,469,471,475,484,
485,491,492],[1,4,5,7,9,10,11,14,15,19,20,21,23,25,26,27,32,35,40,41,44,45,51,
54,55,56,64,69,70,71,74,75,76,80,84,88,89,95,101,114,115,118,123,127,130,131,
132,133,139,141,142,143,144,146,149,156,159,162,163,164,166,167,169,174,180,
196,202,212,225,231,243,246,254,260,263,264,266,268,270,274,280,286,288,289,
293,295,296,306,307,317,344,346,355,357,371,372,373,377,380,384,385,386,390,
391,400,404,412,416,435,437,438,439,444,446,452,463,469,471,478,483,486,491,
493],[1,2,3,4,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,23,25,28,29,30,36,38,
40,44,46,47,48,49,52,53,54,55,56,57,58,62,63,65,66,69,72,73,76,80,85,88,90,93,
96,99,108,109,110,111,113,117,118,119,120,121,122,127,128,129,130,131,132,133,
140,141,142,143,144,146,147,148,149,150,151,152,153,154,155,156,157,158,159,
160,161,162,164,168,169,171,172,180,183,185,186,187,189,192,194,195,197,198,
200,214,219,226,249,252,255,256,257,259,262,263,265,268,271,272,273,277,278,
279,281,283,285,286,288,290,291,292,297,299,300,301,302,303,304,305,306,315,
316,318,324,327,328,331,332,334,345,346,347,348,350,351,352,353,371,372,373,
376,377,383,384,385,386,401,402,405,415,417,421,428,430,435,437,440,442,447,
448,450,453,468,469,470,471,474,482,487,491,494],[1,2,3,4,5,6,7,8,9,10,11,12,
13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,
39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,
65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,
91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,
112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,
131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,
150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,
169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,
188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,
207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,
226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,
245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,
264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,
283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,
302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,
321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,
340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,
359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,374,375,376,377,
378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,394,395,396,
397,398,399,400,401,402,403,404,405,406,407,408,409,410,411,412,413,414,415,
416,417,418,419,420,421,422,423,424,425,426,427,428,429,430,431,432,433,434,
435,436,437,438,439,440,441,442,443,444,445,446,447,448,449,450,451,452,453,
454,455,456,457,458,459,460,461,462,463,464,465,466,467,468,469,470,471,472,
473,474,475,476,477,478,479,480,481,482,483,484,485,486,487,488,489,490,491,
492,493,494,495]],
0,[[1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,3,1],[1,3,1],[1,2,1,
1],[1,2,1,1],[1,3,1],[1,1,2,1],[1,2,1,1],[1,1,2,1],[1,1,1],[1,1,1],[1,3,1],[1,
3,1],[1,1,1,1,1],[1,1,1],[1,1,1],[1,1,2,1],[1,1,2,1],[1,1,1],[1,1,1,1,1],[1,1,
1],[1,1,2,1],[1,1,2,1],[1,1,1],[1,2,1,1],[1,1,1],[1,2,1,1],[1,1,1,1,1],[1,1,1,
1,1],[1,1,1,1,1],[1,1,1,1,1],[1,1],[1,1,1,1],[1,1,1,1],[1,3,1,1],[1,3,1,1],[1,
3,1,1],[1,1,1,1],[1,3,1,1],[1,4,3,1,6,1],[1,4,3,1,3,3,1],[1,3,4,1,6,1],[1,3,4,
1,6,1],[1,3,1,2,1],[1,2,2,3,1,1,1,4,1],[1,7,1,2,4,1],[1,3,4,1,2,4,1],[1,3,1,2,
1],[1,3,4,1,2,4,1],[1,3,1,3,3,1,3,1],[1,1,4,1,2,1],[1,1,2,1,2,1],[1,1,4,2,1,2,
4,1],[1,2,1,2,2,1,1,1,4,1],[1,2,1,1,1,1,1],[1,1,4,2,1,2,4,1],[1,2,2,3,1,1,1,4,
1],[1,2,1,1,1,1,1],[1,1,1,2,1],[1,3,1,2,1],[1,3,1,2,1],[1,3,1,2,1],[1,1,4,1,2,
1],[1,2,1,2,2,1,1,1,4,1],[1,3,1,2,1],[1,1,2,1,2,1],[1,1,1,2,1],[1,3,2,1,1,1,
1],[1,1,1,1,1,1],[1,1,2,1,2,1],[1,2,1,2,1,1,1,1],[1,1,6,1,2,2,2,1],[1,1,2,2,1,
1,1,1],[1,2,1,2,1,1,1,1],[1,2,1,1,1,1,1],[1,3,2,1,1,1,1],[1,2,1,2,1,1,1,1],[1,
2,1,1,1,1,1],[1,1,2,1,1,1,1],[1,1,1,2,1],[1,1,2,2,1,1,1,1],[1,2,1,2,1,1,1,1],[
1,1,2,2,1,1,1,1],[1,2,1,2,1,1,1,1],[1,1,4,1,2,1],[1,3,2,1,1,1,1],[1,1,2,1,2,
1],[1,1,2,1,2,1],[1,1,2,1,1,1,1],[1,3,2,1,1,1,1],[1,2,1,2,1,1,1,1],[1,2,1,2,2,
1,1,1,4,1],[1,1,2,1,1,1,1],[1,1,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,2,1,2,2,1,2,1,
1,2,1],[1,1,2,2,2,1,1,1,4,1],[1,2,1,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,3,2,1,1,1,
1],[1,1,3,3,1,1,2,3,1],[1,2,1,2,1,1,1,1],[1,2,1,2,1,1,1,1],[1,1,1,1],[1,2,1,2,
1,1,1,1],[1,3,2,1,1,1,1],[1,1,1,1],[1,1,2,1,1,1,1],[1,1,2,1,1,1,1],[1,3,2,1,1,
1,1],[1,1,2,2,1,1,1,1],[1,1,1,1,2,2,1,1,1,2,2,1],[1,3,2,1,1,1,1],[1,1,1,1,1,1,
1,1],[1,2,3,1,1,1,1],[1,1,2,2,1,1,1,1,1,1,1,2,1],[1,1,1,1,1,1,1,1],[1,2,3,1,1,
1,1],[1,5,1,1],[1,5,1,1],[1,1,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,
1,1],[1,4,3,1,3,1,1,1,1],[1,3,1,3,1,3,1,1,1,1],[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],[1,1,3,3,1,3,1,1,1,1],[
1,3,4,1,1],[1,15,5,10,20,15,1],[1,3,12,1,6,8,8,12,3,12,1],[1,3,1,6,3,1],[1,4,
3,4,4,1,3,3,4,6,6,12,1,1,1,6,6,1],[1,3,1,6,3,1],[1,4,3,4,1,2,6,2,4,1,1,1,4,
1],[1,2,6,7,1,2,1,5,4,10,12,1,2,1,1,2,8,1],[1,3,4,1,2,4,4,1,2,1],[1,7,1,2,4,4,
1,2,1],[1,3,1,2,4,1,2,1],[1,4,4,7,1,2,6,2,4,4,16,2,1,4,4,4,1],[1,7,4,1,2,4,2,
2,4,1,1,1,4,1],[1,2,2,3,1,1,1,2,2,4,1,1,1,2,2,1],[1,4,3,4,1,6,2,2,4,1,1,1,4,
1],[1,7,4,1,2,4,2,2,4,1,1,1,4,1],[1,3,8,1,4,2,8,1,2,4,1],[1,2,2,3,4,4,1,1,1,2,
2,4,4,4,8,8,1,1,1,2,2,8,1],[1,3,1,2,4,1,2,4,1],[1,3,4,1,2,4,4,2,1,1],[1,3,4,1,
2,4,4,1,2,4,1],[1,7,1,2,4,4,1,2,1],[1,7,1,2,4,4,1,2,1],[1,7,4,1,2,4,2,2,4,1,1,
1,4,1],[1,3,4,4,1,2,2,4,2,4,1,1,1,2,2,1],[1,3,4,1,2,4,4,1,2,1],[1,3,4,4,1,2,4,
2,2,4,1,1,1,2,2,1],[1,2,2,3,1,1,1,2,4,2,1,1,1,1],[1,3,4,1,2,2,2,4,1,1,1,1],[1,
2,1,4,4,2,2,1,1,1,4,2,2,4,4,4,4,8,1,1,1,2,2,8,1],[1,2,2,3,4,1,1,1,2,2,4,4,1,1,
1,2,2,1],[1,2,2,3,1,1,1,2,4,2,1,1,1,4,1],[1,2,1,4,1,1,1,2,2,1,1,1,2,2,1],[1,7,
4,1,2,4,6,2,1,1,1,2,2,1],[1,3,4,1,2,4,4,1,2,1],[1,2,2,3,4,1,1,1,2,6,4,1,1,1,2,
2,1],[1,2,1,4,1,1,1,2,2,1,1,1,2,2,1],[1,2,1,1,1,1,2,2,1,1,1,2,2,1],[1,3,4,1,2,
2,2,1,1,1,2,2,1],[1,7,1,2,4,2,2,1,1,1,1],[1,7,1,2,4,4,1,2,1],[1,2,1,4,2,2,1,1,
1,2,2,4,4,1,1,1,2,2,1],[1,3,4,1,2,2,2,4,1,1,1,4,1],[1,2,1,2,2,1,1,1,2,2,4,1,1,
1,2,2,1],[1,7,4,1,2,4,2,2,4,1,1,1,4,1],[1,7,1,2,4,2,2,1,1,1,1],[1,3,4,1,2,2,2,
4,1,1,1,1],[1,3,1,2,1,2,1],[1,4,3,1,6,2,2,1,1,1,1],[1,2,1,4,2,2,1,1,1,2,2,4,4,
1,1,1,2,2,1],[1,2,1,4,4,1,1,1,4,2,2,4,1,1,1,2,2,1],[1,3,1,2,2,2,1,1,1,1],[1,7,
4,1,2,4,2,6,1,1,1,2,2,1],[1,3,1,2,2,2,1,1,1,1],[1,2,2,3,1,1,1,2,2,4,1,1,1,1],[
1,3,1,2,1,2,1],[1,2,2,3,4,1,1,1,2,4,4,2,1,1,1,2,2,1],[1,3,1,2,4,1,2,1],[1,2,2,
3,4,1,1,1,2,4,6,1,1,1,2,2,1],[1,3,4,4,1,2,2,4,2,4,1,1,1,4,1],[1,4,3,1,3,3,2,2,
1,1,1,2,2,1],[1,3,4,1,2,2,2,1,1,1,2,2,1],[1,4,3,2,2,1,3,3,2,1,1,1,1,2,1,1,1,1,
1,1,1,1],[1,3,6,2,1,1,1,1,7,4,1,1,1,1,1,1,1,1],[1,2,2,3,2,2,1,1,1,1,1,1,4,1,4,
1,1,1,1,1,1,1,1],[1,1,4,2,1,2,2,2,4,1,1,1,1],[1,1,4,1,2,2,1,1,1,1],[1,2,1,2,2,
1,1,1,1,2,1,1,1,1,1,1,1,1,1],[1,1,6,1,2,2,2,2,2,1,1,1,1],[1,1,4,6,1,2,2,2,2,4,
2,1,1,1,4,1],[1,2,1,4,2,2,1,1,1,1,2,1,4,4,1,1,1,1,1,1,1,1],[1,3,6,2,1,1,1,7,1,
4,1,1,1,1,1,1,1,1],[1,3,2,2,1,1,1,1,2,1,1,1,1,1,1,1,1,1],[1,2,1,6,2,1,1,1,2,2,
2,2,4,1,1,1,2,2,1],[1,1,2,1,2,2,2,1,1,1,1],[1,2,1,2,4,2,1,1,1,1,1,2,4,4,1,1,1,
1,1,1,1,1],[1,3,2,2,1,1,1,2,1,1,1,1,1,1,1,1,1,1],[1,3,4,2,2,1,1,1,1,6,1,4,1,1,
1,1,1,1,1,1],[1,2,2,3,2,2,1,1,1,1,1,1,1,4,4,1,1,1,1,1,1,1,1],[1,1,4,1,2,2,1,1,
1,1],[1,4,3,2,2,1,6,1,1,1,1,4,1,1,1,1,1,1,1,1],[1,3,2,2,1,2,1,1,1,1,1,1,1,1,1,
1,1,1],[1,3,2,4,2,1,1,1,1,1,6,4,1,1,1,1,1,1,1,1],[1,3,2,2,4,1,2,1,1,1,4,1,4,1,
1,1,1,1,1,1,1],[1,1,4,6,1,2,2,2,2,2,4,1,1,1,4,1],[1,2,1,6,2,1,1,1,2,2,2,2,4,1,
1,2,1,2,1],[1,2,2,3,2,2,1,1,1,2,1,1,1,4,1,2,1,1,1,1,1,1,1,1],[1,2,1,2,4,2,1,1,
1,1,1,2,4,4,1,1,1,1,1,1,1,1],[1,1,4,2,1,2,2,2,4,1,1,1,1],[1,2,1,2,2,1,1,1,2,2,
4,1,1,1,1],[1,1,6,1,2,2,2,2,2,1,1,1,1],[1,1,4,4,1,2,2,1,1,1,1],[1,2,2,3,1,1,1,
2,2,4,1,1,1,1],[1,3,2,2,1,1,1,3,1,1,1,1,1,1,1,1,1],[1,2,1,2,2,1,1,1,2,1,1,1,1,
1,1,1,1,1,1],[1,2,1,2,2,1,1,1,2,1,1,1,1,2,1,1,1,1,1,1,1,1],[1,2,1,2,2,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1],[1,2,1,2,2,2,2,1,1,1,1,1,1,1,4,4,1,1,1,1,1,1,1,1],[1,2,
1,4,2,2,1,1,1,1,2,1,4,4,1,1,1,1,1,1,1,1],[1,2,1,2,2,1,1,1,1,2,1,1,1,1,1,1,1,1,
1],[1,2,1,2,2,2,2,1,1,1,2,1,1,1,1,2,4,1,1,1,1,1,1,1,1],[1,2,1,1,1,1,1,1,1,1],[
1,1,1,2,2,1,1,1,1],[1,1,2,1,2,2,2,1,1,1,1],[1,2,1,2,2,1,1,1,2,2,4,1,1,1,4,1],[
1,3,2,2,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,1,1,2,2,1,1,1,1],[1,2,1,2,2,1,1,1,2,1,1,
1,1,1,1,1,1,1,1],[1,4,3,2,2,1,3,1,3,1,1,1,4,1,1,1,1,1,1,1,1],[1,2,1,1,1,1,1,1,
1,1],[1,1,4,1,2,2,1,1,1,1],[1,2,1,4,1,1,1,2,2,1,1,1,2,2,1],[1,1,4,4,1,2,2,1,1,
1,1],[1,1,4,1,2,2,1,1,1,1],[1,2,1,4,1,1,1,2,2,1,1,1,2,2,1],[1,3,1,3,2,2,3,1,1,
1,3,1,1,2,2,1,1,1,1,1,1,1,1],[1,1,3,3,2,2,1,1,2,1,1,3,1,1,2,2,1,1,1,1,1,1,1,
1],[1,5,5,1,1,1],[1,1,5,5,5,1,1,1,1,1],[1,5,5,1,1,1],[1,3,4,4,1,6,4,1,1,1],[1,
3,6,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,4,3,4,
1,3,3,4,1,1,1],[1,3,4,4,1,6,4,1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,
3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,4,3,4,1,6,4,1,1,1],[
1,3,1,3,4,3,1,3,4,1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,6,3,4,1,3,3,4,3,1,1],[1,6,
3,4,1,3,3,4,3,1,1],[1,1,4,4,3,3,1,1,3,3,3,3,6,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,
1],[1,6,10,15,5,10,15,15,20,30,60,5,10,15,15,20,30,60,1,15,15,1],[1,4,3,12,1,
6,6,6,12,1,3,3,12,12,1,3,3,1],[1,4,3,12,1,6,6,6,8,8,12,1,3,3,12,12,1,3,3,1],[
1,15,4,5,10,20,6,6,1,15,3,6,6,1,3,3,1],[1,4,3,1,6,6,6,1,3,3,1,3,3,1],[1,15,4,
5,10,20,6,6,1,15,3,6,6,1,3,3,1],[1,2,2,3,4,4,1,1,1,2,2,4,4,4,4,4,8,8,2,1,1,1,
2,2,2,8,8,1,1,1,2,2,1],[1,7,4,1,2,4,2,2,8,4,1,1,1,4,4,1,2,1],[1,2,6,7,1,2,1,5,
4,10,4,12,4,1,2,1,1,2,2,2,8,8,1,1,1,2,2,1],[1,15,4,5,10,20,2,2,4,4,15,1,1,2,4,
8,1,1,1,2,2,1],[1,7,8,4,1,2,4,2,2,4,4,12,8,2,1,1,1,2,2,2,2,2,4,4,4,4,4,1,2,2,
2,4,4,1],[1,7,4,1,2,4,2,6,4,4,1,1,3,2,4,4,1,1,1,2,2,1],[1,7,4,1,2,4,2,2,4,1,1,
1,4,4,1,2,1],[1,4,3,4,1,6,2,2,4,4,4,1,1,1,2,2,4,4,1,1,1,2,2,1],[1,4,3,4,1,2,6,
2,4,4,4,1,1,1,2,2,4,4,1,1,1,2,2,1],[1,2,6,7,4,4,1,2,1,5,4,2,10,2,2,2,4,12,4,8,
8,1,2,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,8,8,1,1,1,1,1,1,1,4,4,1],[1,7,4,1,2,4,2,2,
4,8,1,1,1,4,4,1,2,1],[1,7,4,1,2,4,2,2,4,8,1,1,1,4,4,1,2,1],[1,7,8,4,1,2,4,2,2,
4,12,4,8,2,1,1,1,2,2,2,2,2,4,4,4,4,4,1,2,2,2,4,4,1],[1,7,4,1,2,4,2,2,4,8,1,1,
1,4,4,1,2,1],[1,7,4,8,1,2,4,2,4,2,4,4,8,1,1,1,2,2,4,4,8,8,1,1,1,2,2,1],[1,7,4,
1,2,4,2,2,4,1,1,1,4,4,1,2,1],[1,4,4,7,4,1,2,6,2,4,2,4,2,4,16,4,2,1,1,1,4,4,2,
4,4,4,4,1,1,1,2,2,1],[1,15,4,5,10,20,2,2,4,4,1,15,1,2,4,8,1,1,1,2,2,1],[1,2,2,
3,1,1,1,2,6,4,4,1,1,3,2,2,2,1,1,1,2,2,1],[1,2,2,3,8,1,1,1,4,2,2,4,4,8,1,1,1,2,
2,2,2,4,4,4,4,8,1,1,1,2,2,4,4,1],[1,7,4,1,2,4,2,4,2,4,4,2,1,1,1,2,4,4,1,1,1,2,
2,1],[1,4,4,7,4,1,2,6,2,4,4,2,2,4,16,4,1,2,1,1,4,4,2,4,4,4,4,1,1,1,2,2,1],[1,
2,2,3,12,4,1,1,1,6,2,8,8,12,4,4,4,8,8,1,3,1,2,2,2,12,4,4,4,8,8,1,1,1,2,2,4,4,
1],[1,7,12,1,2,4,6,2,8,8,4,12,1,3,1,2,4,12,8,1,1,1,2,2,1],[1,3,4,4,1,2,4,4,2,
2,4,4,1,1,2,1,2,2,2,1,1,1,1],[1,4,3,4,1,2,6,2,4,4,4,1,1,1,2,4,2,1,1,1,1],[1,3,
4,4,1,2,4,2,2,4,4,4,1,1,2,1,2,2,4,2,1,1,1,2,2,1],[1,3,4,4,1,2,4,4,2,2,4,4,2,1,
1,1,2,2,2,1,1,1,1],[1,3,4,12,1,6,8,8,2,12,2,4,4,3,1,1,2,12,2,2,8,1,1,1,2,2,
1],[1,4,3,4,4,4,1,2,6,2,2,4,2,2,2,4,4,8,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,2,2,2,2,
2,1,1,1,2,2,2,2,2,2,1],[1,2,2,3,4,4,1,1,1,2,2,4,4,4,4,4,8,8,1,1,1,2,2,2,2,8,8,
1,1,1,2,2,1],[1,7,4,1,2,4,4,6,6,1,1,3,2,2,2,1,1,1,1],[1,4,3,4,4,1,2,6,2,2,2,2,
4,2,4,1,1,1,1,1,1,1,4,4,4,4,1,1,1,1,1,1,1,1],[1,7,1,2,4,2,2,2,6,1,1,1,1,3,1,1,
1,1,1,1,1,1],[1,7,4,1,2,4,4,6,6,1,1,2,3,2,2,1,1,1,1],[1,2,2,3,4,4,1,1,1,2,2,4,
4,4,4,4,1,1,1,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,4,4,7,4,1,2,6,2,4,4,4,6,2,
16,1,2,1,4,4,2,1,4,2,4,4,2,1,1,2,1,2,1],[1,2,6,7,4,4,1,2,1,5,4,10,4,2,6,2,12,
6,12,1,2,1,1,1,1,2,1,1,2,2,2,2,2,2,2,2,6,6,2,8,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,
2,6,7,1,2,1,5,4,10,4,4,12,1,2,1,1,2,2,2,4,4,8,1,1,1,2,2,1],[1,7,4,1,2,4,4,6,2,
4,1,1,2,1,2,2,2,1,1,1,1],[1,3,4,4,1,2,4,2,4,2,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,2,
6,7,4,1,2,1,5,4,2,10,2,2,4,12,2,1,2,1,1,1,1,2,1,1,2,4,8,2,4,1,1,1,1,1,1,1,1],[
1,7,4,4,4,1,2,4,2,2,2,6,2,4,6,8,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,2,2,1,1,1,
2,2,2,2,2,2,1],[1,4,4,7,4,1,2,6,2,4,4,2,4,16,6,1,2,1,4,4,1,2,4,2,2,4,4,1,1,1,
2,2,1],[1,7,4,4,1,2,4,2,2,2,4,6,4,1,1,1,1,3,4,4,4,4,1,1,1,1,1,1,1,1],[1,4,4,7,
1,2,6,2,4,4,2,2,2,16,2,1,2,1,1,4,2,4,2,1,1,4,4,1,1,1,1,1,1,1,1],[1,3,4,1,2,2,
4,2,1,1,1,2,2,2,2,1,1,1,1],[1,2,2,3,4,4,4,4,1,1,1,2,2,4,2,4,2,2,4,4,2,4,4,8,4,
8,8,1,1,1,1,1,2,1,2,1,2,2,2,2,2,2,2,2,2,2,2,2,8,8,1,1,1,1,1,1,1,2,2,2,2,1],[1,
2,2,3,4,1,1,1,2,2,2,4,4,6,1,1,1,1,3,2,4,2,4,1,1,1,1,1,1,1,1],[1,2,2,3,4,8,1,1,
1,2,4,2,2,4,4,2,8,8,8,1,1,1,2,2,1,2,1,4,2,2,4,8,1,1,1,1,1,1,1,1],[1,4,3,4,1,6,
2,2,4,1,1,1,4,2,2,1,1,1,1],[1,2,2,3,4,1,1,1,2,4,2,2,4,4,2,2,1,1,1,2,2,1,1,2,2,
1,1,1,1,1,1,1,1],[1,3,4,8,1,4,2,2,2,8,1,2,1,1,4,2,2,2,1,1,1,2,2,1],[1,7,4,1,2,
4,2,4,4,6,1,1,1,2,2,2,2,1,1,1,1],[1,3,4,1,6,2,2,3,1,1,2,2,2,1,1,1,1],[1,7,4,1,
2,4,2,2,4,4,4,1,1,1,2,2,4,1,1,1,1],[1,3,4,4,1,2,4,2,4,2,4,4,2,1,1,1,2,2,2,1,1,
1,1],[1,2,2,3,4,4,1,1,1,2,2,4,2,2,2,4,2,4,1,1,1,1,2,2,1,1,1,2,2,2,2,2,2,2,2,2,
2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,3,4,8,1,4,2,2,8,2,1,2,1,1,4,2,2,2,1,1,1,2,2,
1],[1,3,4,4,1,2,2,4,4,2,4,4,1,1,1,2,2,2,2,4,1,1,1,2,2,1],[1,3,4,1,2,2,2,4,1,1,
2,1,2,2,2,1,1,1,1],[1,3,4,12,1,6,8,8,12,2,2,4,4,3,1,1,12,2,2,2,8,1,1,1,2,2,
1],[1,2,2,3,4,1,1,1,2,2,6,4,2,4,1,1,1,3,1,2,2,4,4,1,1,1,1,1,1,1,1],[1,7,4,1,2,
4,2,2,8,4,1,1,1,4,4,4,1,1,1,1,1,1,1,1],[1,7,4,4,1,2,4,2,2,4,2,4,2,4,2,1,1,1,1,
1,4,4,4,4,1,1,1,1,1,1,1,1],[1,7,4,1,2,4,2,2,4,4,4,1,1,1,2,2,4,4,1,1,1,1,1,1,1,
1],[1,2,2,3,1,1,1,2,2,4,1,1,1,2,2,2,2,1,1,1,2,2,1],[1,7,8,1,2,4,4,2,2,2,2,8,1,
1,1,2,1,1,4,4,4,4,1,1,1,1,1,1,1,1],[1,2,2,3,1,1,1,2,2,4,4,4,1,1,1,2,2,4,4,1,1,
1,1,1,1,1,1],[1,2,6,7,4,1,2,1,5,4,10,2,2,2,12,2,4,1,2,1,1,1,1,2,1,1,4,8,2,2,4,
1,1,1,1,1,1,1,1],[1,4,4,7,4,4,1,2,6,2,4,2,4,2,2,4,16,2,4,8,8,2,1,1,1,4,2,4,1,
2,1,2,4,2,2,2,4,8,4,4,1,1,1,1,1,1,1,4,4,1],[1,4,3,4,4,4,1,6,2,2,2,2,2,4,2,8,8,
1,1,1,1,1,1,1,2,2,2,2,2,2,4,2,2,2,2,2,2,1,1,1,2,2,2,2,2,2,1],[1,3,4,1,2,4,2,2,
1,2,1,1,4,2,2,2,1,1,1,2,2,1],[1,3,4,1,2,4,2,2,1,1,1,2,4,2,2,2,1,1,1,2,2,1],[1,
3,4,1,6,2,2,3,1,1,2,2,2,1,1,1,1],[1,4,3,2,2,2,2,1,3,1,3,1,1,1,2,3,1,3,1,2,4,1,
1,1,1,1,1,1,1,1,1,2,1,1,1,2,1,3,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1],[1,2,1,4,4,4,1,1,1,4,2,2,2,2,4,1,1,1,1,1,2,2,1,2,1,2,1,1,1,1,1,1,
1,1],[1,2,2,3,6,2,2,2,1,1,1,1,1,1,1,3,7,1,4,1,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,
2,1,1,2,1,1,2,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,2,1,4,
6,2,1,1,1,2,2,2,2,2,2,2,2,4,4,1,1,1,1,1,2,2,2,1,1,2,4,4,1,1,1,1,1,1,1,1],[1,2,
1,4,6,2,1,1,1,2,2,2,2,2,2,2,4,2,4,1,1,1,1,1,2,1,1,2,2,2,4,4,1,1,1,1,1,1,1,1],[
1,4,3,6,6,2,2,1,3,1,3,1,1,1,6,1,7,1,7,4,4,14,4,8,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,6,1,1,2,7,2,1,1,8,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,2,1,4,4,
1,1,1,2,2,2,2,1,1,1,1,1,2,2,2,1,1,2,1,1,1,1,1,1,1,1],[1,2,2,3,2,6,2,2,1,1,1,1,
1,1,1,1,1,3,4,7,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,2,1,1,3,
2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,2,1,6,2,1,1,1,2,2,2,2,2,2,2,2,4,1,1,
1,1,1,2,1,1,2,2,2,1,1,1,1,1,1,1,1],[1,2,1,4,4,6,2,1,1,1,2,2,4,2,2,2,2,2,4,2,4,
4,4,8,1,1,1,1,1,1,1,2,2,2,2,4,8,4,1,1,1,1,1,1,1,1],[1,2,1,4,4,1,1,1,2,2,2,2,1,
1,1,2,1,2,1,2,1,1,2,1,1,1,1,1,1,1,1],[1,2,1,4,1,1,1,2,2,2,2,1,1,1,2,2,1,1,1,2,
1,2,1,1,1,1,1,1,1,1],[1,1,5,5,5,5,5,1,5,1,1,1,1,1,1,1],[1,15,16,5,10,20,15,4,
8,8,1,1],[1,3,12,16,1,6,8,8,12,3,12,4,8,8,1,1],[1,3,16,1,6,3,4,1,1],[1,4,3,4,
4,4,1,3,3,4,6,6,12,4,4,4,1,1,1,6,6,1,4,1,1,1,1,1],[1,3,6,4,6,4,1,3,3,3,3,6,12,
4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,4,3,6,6,4,1,3,3,3,3,3,3,12,4,4,4,1,3,3,
3,3,3,3,1,4,3,1,1,1,1],[1,3,16,1,6,3,4,1,1],[1,3,10,6,4,1,3,3,3,9,12,4,4,4,1,
3,3,3,3,3,3,1,4,3,1,1,1,1],[1,3,4,6,6,4,1,3,3,3,6,3,12,4,4,4,1,3,3,3,3,3,3,1,
4,3,1,1,1,1],[1,3,10,6,4,1,3,3,9,3,12,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,4,
3,6,6,4,1,3,3,6,3,3,3,3,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,4,3,6,6,4,1,6,
3,3,3,3,12,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,3,1,3,6,6,4,3,1,3,3,3,3,3,6,
6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,15,10,5,6,10,6,5,1],[1,15,10,5,6,10,6,
5,1],[1,15,12,5,10,20,6,6,8,8,12,12,15,3,3,6,12,12,12,24,1,1,1,2,3,3,3,3,6,6,
6,3,3,3,6,1],[1,6,10,15,4,4,5,10,15,15,20,30,4,6,6,6,60,6,12,5,10,1,1,15,15,
20,30,3,3,6,6,6,6,6,6,6,6,6,6,6,60,6,1,1,15,15,3,3,3,3,3,3,3,6,6,6,6,6,1,1,1,
3,3,3,3,1],[1,7,8,12,1,2,4,6,2,8,8,4,4,12,12,8,8,2,1,3,1,2,2,2,2,2,2,4,4,12,4,
4,4,4,8,16,1,1,1,2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,1],[1,7,4,1,2,4,2,4,2,4,8,4,2,
1,1,1,4,2,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,7,8,12,1,2,4,6,2,8,8,4,12,12,4,8,8,
2,1,3,1,2,2,2,2,2,2,4,12,4,4,4,4,4,8,16,1,1,1,2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,
1],[1,7,8,4,1,2,4,2,6,4,4,12,4,8,2,1,1,3,2,2,2,2,2,2,4,4,4,4,4,4,4,1,1,1,2,2,
2,2,2,2,4,4,4,4,1,1,1,2,2,1],[1,15,8,4,5,10,20,2,2,4,12,4,12,8,2,15,1,1,2,2,2,
2,6,2,4,4,12,4,12,8,1,1,1,2,2,2,2,6,6,4,4,2,1,1,1,2,1],[1,7,8,4,1,2,4,2,6,4,4,
4,12,8,2,1,1,3,2,2,2,2,2,2,4,4,4,4,4,4,4,1,1,1,2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,
1],[1,2,6,7,8,8,4,4,1,2,1,5,4,2,10,2,2,2,8,4,4,12,4,12,4,12,8,8,8,24,8,16,1,2,
2,2,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,12,4,4,4,12,4,4,4,4,8,4,4,8,16,2,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,2,2,2,2,2,
2,4,4,4,4,1],[1,7,8,4,1,2,4,2,4,2,4,4,4,12,8,8,2,2,1,1,1,2,2,2,2,2,2,4,4,4,4,
4,4,4,1,1,1,2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,1],[1,4,4,7,8,4,1,2,6,2,4,2,4,2,4,4,
8,16,4,12,8,2,2,1,1,1,4,2,2,2,4,2,2,4,2,4,8,4,4,4,4,4,8,4,4,1,1,1,2,2,2,2,2,2,
4,4,4,4,1,1,1,2,2,1],[1,7,8,4,8,1,2,4,2,4,2,4,4,4,8,12,8,2,1,1,1,2,2,2,2,2,2,
2,4,4,4,4,4,4,4,8,8,1,1,1,2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,1],[1,7,4,1,2,4,2,4,2,
8,4,4,2,1,1,1,4,2,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,7,8,4,8,1,2,4,2,4,2,4,12,4,
4,8,8,2,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,8,8,1,1,1,2,2,2,2,2,2,4,4,4,4,1,1,1,
2,2,1],[1,15,4,5,10,20,2,2,4,4,8,15,1,1,2,4,4,4,8,1,1,1,2,2,2,2,1,1,1,1],[1,
15,4,8,5,10,20,2,4,4,2,4,4,8,8,2,15,1,1,2,2,4,4,4,4,8,8,8,8,16,1,2,1,2,1,1,1,
1,1,2,2,2,4,4,2,2,2,2,2,1,1,2,1,2,2,2,2,2,1],[1,2,6,7,12,4,1,2,1,5,4,6,10,2,6,
2,8,8,4,12,12,4,4,8,8,1,2,3,1,1,3,1,1,2,2,2,2,2,2,2,4,12,4,12,4,4,4,8,4,8,8,8,
8,1,3,1,1,1,1,1,1,1,3,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[
1,7,4,1,2,4,2,6,4,8,4,8,1,1,3,4,2,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,7,12,1,2,4,
6,2,8,8,4,12,8,1,3,1,2,4,4,12,4,8,1,1,1,2,2,2,2,1,1,1,1],[1,4,4,7,12,8,1,2,6,
2,4,6,4,4,2,8,8,4,12,16,8,8,16,16,2,1,3,1,2,4,4,4,2,4,4,4,12,8,4,8,4,8,4,4,8,
16,16,8,8,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,2,4,8,8,8,8,1,1,2,1,2,2,2,2,2,1],[
1,15,4,5,10,20,2,2,4,4,8,15,1,1,2,4,4,4,8,1,1,1,2,2,2,2,1,1,1,1],[1,7,4,8,1,2,
4,2,4,2,4,8,4,8,8,1,1,1,2,4,2,4,4,4,8,8,1,1,1,2,2,2,2,1,1,1,1],[1,7,8,4,1,2,4,
2,4,2,4,12,4,4,8,8,2,2,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,1,1,1,2,2,2,2,2,2,4,4,
4,4,1,1,1,2,2,1],[1,2,6,7,4,4,1,2,1,5,4,2,10,2,2,2,4,12,4,8,8,8,8,1,2,1,1,1,1,
1,1,2,2,2,2,2,4,4,4,4,4,4,8,8,16,1,1,1,1,1,1,1,2,2,4,4,4,4,1,1,1,2,2,1],[1,4,
4,7,4,1,2,6,2,4,2,4,2,4,16,4,8,2,1,1,1,4,4,2,4,4,4,4,4,4,1,1,1,2,2,2,2,1,1,1,
1],[1,4,4,7,4,1,2,6,2,4,2,4,2,4,16,4,8,2,1,1,1,4,4,2,4,4,4,4,4,4,1,1,1,2,2,2,
2,1,1,1,1],[1,15,8,4,5,10,20,2,2,4,4,12,12,8,2,15,1,1,2,2,6,2,2,2,4,12,4,4,12,
8,1,1,1,6,2,2,6,2,2,4,4,2,1,1,1,2,1],[1,2,6,7,4,4,1,2,1,5,4,2,10,2,2,2,4,12,4,
8,8,1,2,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,8,4,4,8,1,1,1,1,1,1,1,2,2,4,4,4,4,1,1,1,
2,2,1],[1,7,12,1,2,4,6,2,8,8,4,8,12,1,3,1,4,2,4,12,4,8,1,1,1,2,2,2,2,1,1,1,
1],[1,2,6,7,4,12,1,2,1,5,4,2,10,6,2,6,4,4,12,4,12,8,8,1,2,1,1,1,1,3,3,2,2,2,2,
2,2,2,4,4,4,12,12,4,8,4,4,8,8,8,8,1,1,1,1,1,1,3,1,3,1,1,2,2,2,2,2,2,2,2,2,2,4,
4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,7,4,1,2,4,2,6,4,4,8,8,1,1,3,2,4,4,4,4,1,1,1,
2,2,2,2,1,1,1,1],[1,4,4,7,4,1,2,6,2,4,2,4,4,6,4,4,16,8,2,2,1,1,3,4,4,4,4,2,4,
4,4,4,4,4,4,8,1,1,2,1,2,1,1,1,1,4,2,2,2,2,4,2,2,2,2,1,1,2,1,2,2,2,2,2,1],[1,4,
4,7,8,4,1,2,6,2,4,2,4,2,8,4,12,4,16,4,8,2,2,1,1,1,4,2,4,4,2,2,2,2,2,4,8,4,4,4,
8,4,4,4,4,1,1,1,2,2,2,4,2,2,2,4,4,4,1,1,1,2,2,1],[1,2,6,7,4,4,1,2,1,5,4,2,10,
2,2,2,8,4,8,12,4,8,8,1,2,1,1,1,1,1,1,2,2,2,2,4,4,2,4,8,8,4,4,4,8,8,1,1,1,1,1,
1,1,2,2,4,4,4,4,1,1,1,2,2,1],[1,7,4,8,1,2,4,2,4,2,8,4,4,8,8,1,1,1,2,4,2,4,4,4,
8,8,1,1,1,2,2,2,2,1,1,1,1],[1,6,10,15,4,4,5,10,15,15,20,2,30,2,2,2,4,4,60,4,4,
8,8,5,10,1,15,15,1,1,1,20,2,2,30,2,2,2,2,4,4,4,4,4,60,4,4,4,8,8,8,8,1,1,15,1,
15,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,8,8,1,1,1,1,1,1,1,2,2,2,2,1],[1,4,4,7,
4,4,4,1,2,6,2,4,4,2,2,4,6,6,6,16,4,6,8,1,1,1,2,1,1,4,4,3,2,3,2,4,4,2,2,2,4,2,
2,2,2,2,4,2,4,4,4,4,2,2,1,1,1,1,2,1,2,1,1,2,2,2,2,2,2,2,2,4,1,1,1,1,1,1,1,1],[
1,4,3,4,4,12,1,6,6,6,8,8,2,12,2,2,2,4,4,4,4,8,1,3,3,1,1,1,1,2,2,2,12,2,2,2,2,
2,12,2,2,2,2,2,2,8,8,1,3,3,1,1,1,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,2,
6,7,4,4,1,2,1,5,4,10,4,4,6,6,6,12,4,6,12,1,2,1,1,1,1,2,3,2,3,2,2,2,6,2,6,2,2,
2,6,6,2,8,2,8,1,1,1,1,1,2,1,1,1,2,1,1,3,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,4,3,4,4,
4,1,2,6,2,4,2,4,2,2,4,2,4,4,4,4,8,1,1,1,1,1,1,2,2,1,2,2,2,2,2,2,2,2,4,2,2,4,2,
2,2,2,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,4,3,4,4,12,1,
6,6,6,2,2,2,12,2,8,8,1,3,3,1,1,1,1,2,2,2,2,12,2,2,12,2,2,2,2,2,2,2,2,1,3,3,1,
1,1,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,2,2,3,4,4,12,4,1,1,1,6,2,8,8,4,
2,12,2,2,4,4,4,2,4,4,4,4,8,4,8,8,1,3,1,1,1,2,1,2,2,1,2,12,2,4,2,2,2,2,2,2,4,2,
2,2,2,4,2,2,8,8,8,8,8,8,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,2,2,2,4,2,2,2,2,2,2,
2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,2,6,7,4,4,1,2,1,5,4,2,10,2,2,2,8,4,12,8,4,1,2,
1,1,1,1,1,1,2,4,4,2,4,4,4,4,8,2,2,2,4,4,4,4,8,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,
1,1,1,2,4,1,2,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,15,4,4,4,5,10,20,2,
2,6,6,6,4,4,6,8,1,1,1,15,1,3,3,2,2,6,2,2,6,6,2,2,2,2,4,6,2,8,1,1,1,3,3,3,2,2,
3,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,4,4,7,4,8,1,2,6,2,4,2,4,4,4,2,8,4,16,4,8,8,
8,2,2,1,1,1,2,4,2,2,4,2,4,2,2,2,4,4,4,4,2,6,6,12,4,4,8,4,8,1,1,1,1,1,1,1,1,1,
1,1,1,1,3,2,1,3,1,1,2,1,2,3,1,1,1,4,4,4,4,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1],[1,2,
2,3,4,4,4,4,1,1,1,2,2,4,4,4,2,4,2,2,4,4,2,4,4,4,4,8,4,8,8,2,1,1,1,1,1,2,1,2,2,
1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,8,8,8,8,1,1,1,1,1,1,1,1,1,2,1,1,2,2,2,2,2,2,2,1,
1,1,1,1,1,1,1],[1,2,2,3,4,4,1,1,1,2,6,4,2,2,2,4,4,2,4,1,1,3,1,2,2,1,1,2,1,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,2,1,1,1,1,1,1,2,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,
1],[1,4,3,4,4,4,1,6,2,2,4,2,2,2,4,4,2,8,8,1,1,1,1,1,2,1,2,1,2,2,2,4,2,2,2,4,2,
2,2,2,2,2,2,2,1,1,1,1,2,1,2,1,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,2,2,3,
4,4,8,1,1,1,4,2,2,4,4,2,2,2,4,8,2,4,1,1,1,2,1,2,2,1,2,1,1,2,2,2,4,2,4,2,2,2,2,
2,2,2,4,2,4,2,2,8,1,1,1,2,1,1,1,1,2,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,4,1,
1,1,1,1,1,1,2,2,2,2,1],[1,15,5,10,20,16,15,1,1],[1,15,4,16,5,10,20,6,6,16,1,
15,3,6,6,4,8,8,1,3,3,4,1,1,1],[1,15,12,16,5,10,20,6,6,12,12,16,15,3,3,6,12,24,
4,8,8,1,3,3,6,6,4,8,3,1,1],[1,15,12,16,5,10,20,18,18,16,3,15,9,18,18,4,8,8,1,
9,9,4,8,3,1,1],[1,15,4,16,5,10,20,6,6,16,1,15,3,6,6,4,8,8,1,3,3,4,1,1,1],[1,6,
10,15,16,5,10,15,15,20,30,60,16,5,10,15,15,20,30,60,4,8,8,1,15,15,4,8,8,1,1,
1],[1,15,12,16,5,10,20,18,18,16,3,15,9,18,18,4,8,8,1,9,9,4,8,3,1,1],[1,15,12,
16,5,10,20,6,6,12,12,16,3,15,3,6,12,24,4,8,8,1,3,3,6,6,4,8,3,1,1],[1,3,12,12,
16,1,6,8,8,6,12,6,12,12,16,3,3,3,6,12,6,6,24,4,8,8,1,3,3,6,6,4,8,3,1,1],[1,3,
12,12,16,1,6,8,8,12,6,6,12,12,16,3,3,3,12,6,6,6,24,4,8,8,1,3,3,6,6,4,8,3,1,
1],[1,3,12,16,1,6,6,6,16,3,3,3,6,6,6,4,1,3,3,4,3,1,1],[1,3,12,16,1,6,6,6,16,3,
3,3,6,6,6,4,1,3,3,4,3,1,1],[1,4,3,12,16,1,6,6,6,8,8,12,16,1,3,3,12,12,4,8,8,1,
3,3,4,1,1,1],[1,4,3,12,16,1,6,6,6,12,16,1,3,3,12,12,4,1,3,3,4,1,1,1],[1,4,3,
10,10,6,6,4,1,3,3,3,3,3,3,10,3,9,3,9,12,12,18,12,24,4,4,4,4,4,4,4,1,1,1,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,6,3,3,6,9,6,3,3,24,1,4,4,4,4,4,4,4,1,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,1,1,1,1,1,1,1,4,3,1,1,1,1,1,1,1,1],[1,4,3,16,1,6,6,6,16,1,
3,3,4,1,3,3,4,1,1,1],[1,10,15,10,5,15,15,6,10,10,10,15,6,10,5,6,5,1,1],[1,10,
15,10,5,15,15,6,10,10,10,15,6,5,10,6,5,1,1],[1,6,10,15,12,12,5,10,15,15,20,6,
30,6,6,6,8,8,12,12,60,12,12,24,24,5,10,3,15,15,3,3,3,20,6,6,30,6,6,6,6,12,12,
12,12,12,12,12,12,12,60,12,12,12,24,24,24,24,24,24,1,1,1,2,3,15,3,3,3,15,3,3,
3,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,24,24,1,1,
1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,1,3,3,3,
3,3,3,6,6,1],[1,4,4,7,8,4,1,2,6,2,4,2,4,4,6,4,4,4,8,16,8,12,8,8,2,2,2,1,1,3,4,
2,2,2,4,4,4,2,2,2,4,4,4,8,4,4,4,4,4,4,4,4,8,4,4,4,8,1,1,2,1,2,1,1,1,1,2,2,2,4,
2,2,2,2,2,2,4,2,2,2,2,2,4,4,4,4,4,4,4,4,1,1,1,1,1,1,2,1,2,2,2,2,2,2,2,2,2,2,2,
1,1,1,1,1,1,1,1],[1,4,4,7,8,12,8,1,2,6,2,4,6,4,4,2,8,8,4,4,12,8,16,8,8,12,8,8,
16,16,2,2,1,3,1,2,4,2,2,2,4,4,2,2,2,4,4,4,4,4,8,12,4,8,4,4,8,4,4,8,4,8,4,4,4,
8,16,16,8,8,16,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,4,4,4,4,4,8,8,
4,4,4,4,8,8,1,1,1,1,1,1,2,1,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,6,10,15,
8,8,4,4,5,10,15,15,20,2,30,2,2,2,8,4,12,4,12,12,60,4,4,12,8,8,8,24,8,16,5,10,
2,2,1,15,15,1,1,1,20,2,2,2,2,2,2,30,2,2,6,2,6,2,2,2,2,2,4,4,12,4,12,12,12,4,
12,4,4,4,4,12,12,4,12,4,12,4,4,4,12,4,12,4,4,60,4,4,4,12,4,8,8,8,8,16,1,2,1,
15,1,15,1,1,1,1,1,1,6,2,2,2,2,2,2,2,2,6,6,2,2,2,2,6,2,2,2,2,2,2,2,6,2,2,6,6,2,
12,4,12,4,4,4,4,4,4,4,4,12,4,4,4,12,4,12,4,4,4,4,4,4,4,4,4,4,4,8,8,1,2,2,1,1,
1,1,1,1,1,1,1,1,2,2,2,6,6,6,2,2,2,6,2,2,2,2,2,2,2,2,4,4,4,4,2,1,1,1,1,1,1,1,2,
2,2,1],[1,2,6,7,8,8,12,4,1,2,1,5,4,6,10,2,6,2,8,8,8,4,4,12,12,4,12,4,4,12,8,8,
8,8,8,24,8,16,1,2,2,2,3,1,1,3,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,
12,4,4,4,4,4,4,4,4,12,4,4,4,4,4,4,4,4,12,4,4,4,12,4,4,4,4,8,4,4,4,8,8,8,8,16,
16,16,16,1,2,3,1,1,1,1,1,1,1,3,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,2,6,7,4,12,1,2,1,5,4,2,10,6,2,6,4,
8,4,8,12,4,12,8,8,8,8,1,2,1,1,1,1,3,3,2,2,2,2,4,2,4,2,2,4,4,8,8,4,4,12,4,12,4,
8,4,4,8,8,8,8,16,1,1,1,1,1,1,3,1,3,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,
4,4,4,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,4,4,7,8,12,8,
1,2,6,2,4,6,4,4,2,8,8,4,8,12,12,4,16,8,8,8,8,16,16,2,2,1,3,1,2,4,4,2,4,4,2,2,
2,4,4,2,2,4,12,8,4,8,4,8,4,4,8,4,4,8,4,4,4,4,8,16,16,8,8,16,1,1,1,1,1,1,1,2,2,
2,2,2,2,2,2,2,2,4,2,2,2,2,4,2,4,2,4,8,4,4,8,4,4,4,4,8,8,1,1,1,1,1,1,2,1,2,2,2,
2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,15,8,4,8,5,10,20,2,4,4,2,4,12,4,8,8,12,8,
8,2,2,15,1,1,2,2,2,2,2,6,2,4,4,4,4,12,4,4,4,12,8,4,8,8,8,16,1,2,1,2,1,1,1,1,1,
2,2,2,2,2,6,2,4,4,2,2,6,2,2,2,2,4,4,4,4,4,4,2,1,1,1,1,1,1,2,1,2,2,2,2,2,2,2,2,
2,2,1,1,1,1,1,1,1,1],[1,2,6,7,8,8,4,12,1,2,1,5,4,2,10,6,2,6,8,4,4,4,12,4,12,4,
12,12,8,8,8,24,8,16,1,2,2,2,1,1,1,1,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,12,4,4,4,12,12,4,4,4,12,4,4,4,4,8,4,4,4,4,4,4,8,8,8,8,
16,1,2,1,1,1,1,1,3,1,3,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,
4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,2,6,7,12,4,1,2,1,5,4,6,10,2,6,2,8,8,4,8,
12,8,12,4,4,8,8,1,2,3,1,1,3,1,1,2,2,2,2,4,2,4,2,2,4,12,8,4,8,12,4,4,4,8,4,4,4,
8,8,8,8,1,3,1,1,1,1,1,1,1,3,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,1,1,
1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,15,8,12,5,10,20,6,6,8,8,
12,12,12,12,8,8,2,15,3,3,2,6,6,2,2,2,12,12,12,12,4,4,4,12,4,24,16,1,1,1,2,3,3,
3,3,6,6,2,2,6,6,6,2,2,4,4,4,4,4,4,2,3,3,1,1,1,1,3,2,2,2,6,2,2,1,1,1,1,1,1,1,
1],[1,15,8,12,5,10,20,6,6,8,8,12,12,12,12,8,8,2,15,3,3,2,2,2,2,6,6,12,4,12,4,
12,12,4,12,4,24,16,1,1,1,2,3,3,3,3,6,2,6,2,2,6,6,2,6,4,4,4,4,4,4,2,1,3,1,3,1,
1,3,2,2,2,2,6,2,1,1,1,1,1,1,1,1],[1,4,4,7,8,4,1,2,6,2,4,2,4,4,6,4,8,4,12,4,16,
8,8,8,2,2,2,1,1,3,4,4,2,4,4,4,2,2,2,4,2,2,4,4,8,4,4,4,4,8,4,4,4,4,4,4,8,1,1,2,
1,2,1,1,1,1,2,4,2,2,2,2,4,2,2,2,4,2,2,2,2,2,2,4,4,4,4,4,4,4,1,1,1,1,1,1,2,1,2,
2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,15,8,4,8,5,10,20,2,4,4,2,4,4,12,12,8,
8,8,8,2,2,15,1,1,2,2,2,6,2,4,2,2,4,4,12,4,4,4,4,8,4,12,8,8,8,16,1,2,1,2,1,1,1,
1,1,6,2,2,6,2,2,2,4,4,2,2,2,2,2,2,2,4,4,4,4,4,4,2,1,1,1,1,1,1,2,1,2,2,2,2,2,2,
2,2,2,2,1,1,1,1,1,1,1,1],[1,6,10,15,4,4,5,10,15,15,20,2,30,2,2,2,4,4,60,4,4,8,
8,8,8,5,10,1,15,15,1,1,1,20,2,2,30,2,2,2,2,4,4,4,4,4,4,4,60,4,4,4,4,4,8,8,8,8,
16,1,1,15,1,15,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,8,8,1,1,1,
1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,15,20,5,10,20,10,10,20,20,
16,5,15,5,10,20,40,16,1,5,5,10,10,5,1,1],[1,15,20,5,10,20,10,10,20,20,16,15,5,
5,10,20,40,16,1,5,5,10,10,5,1,1],[1,6,10,15,5,10,15,15,20,30,60,16,5,10,15,15,
20,30,60,16,1,15,15,1,1,1],[1,15,12,64,5,10,20,6,6,8,8,12,12,15,3,3,6,12,12,
12,24,16,32,32,32,32,1,1,1,2,3,3,3,3,6,6,6,3,3,3,6,4,4,4,8,1,1],[1,6,10,15,4,
4,16,5,10,15,15,20,30,4,6,6,6,60,6,12,16,16,16,5,10,1,1,15,15,20,30,3,3,6,6,6,
6,6,6,6,6,6,6,6,60,6,4,8,8,16,1,1,15,15,3,3,3,3,3,3,3,6,6,6,6,6,4,4,4,8,8,1,1,
1,3,3,3,3,1,4,1,1,1,1,1],[1,15,12,4,12,16,5,10,20,6,6,6,18,18,12,12,6,24,16,
16,16,1,3,3,15,3,3,9,6,6,18,6,6,6,6,6,6,6,6,12,18,6,24,4,8,8,16,1,3,3,9,9,3,6,
6,3,6,6,6,6,6,6,4,4,4,8,8,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,6,10,15,12,12,16,5,
10,15,15,20,6,30,6,6,6,12,12,60,12,12,24,24,16,16,16,5,10,3,15,15,3,3,3,20,6,
6,30,6,6,6,6,12,12,12,12,12,60,12,12,12,24,24,24,24,4,8,8,16,1,3,15,3,15,3,3,
3,3,3,3,6,6,6,6,6,6,6,6,6,6,12,12,24,24,4,4,4,8,8,8,8,1,3,3,3,3,3,3,6,6,6,6,1,
4,8,3,1,1,1,1],[1,15,16,12,16,5,10,20,6,6,12,24,12,24,24,16,16,16,4,15,3,3,6,
6,6,6,12,6,12,12,24,12,24,24,4,8,8,16,1,3,3,6,6,6,6,12,12,12,12,4,4,4,8,8,4,3,
3,3,6,1,4,3,1,1,1,1],[1,6,10,15,12,12,16,5,10,15,15,20,30,12,18,18,18,60,18,
36,16,16,16,5,10,3,3,15,15,20,30,9,9,18,18,18,18,18,18,18,18,18,18,18,60,18,4,
8,8,16,1,3,15,15,9,9,9,9,9,9,9,18,18,18,18,18,4,4,4,8,8,8,8,1,3,3,9,9,9,9,1,4,
8,3,1,1,1,1],[1,15,4,12,12,16,5,10,20,6,6,18,6,6,12,12,18,24,16,16,16,3,1,3,
15,3,9,3,6,6,6,6,6,18,18,6,6,6,6,12,6,6,24,4,8,8,16,1,3,3,3,3,9,6,6,9,6,6,6,6,
6,6,4,4,4,8,8,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,15,16,12,16,5,10,20,6,6,12,12,
24,24,24,16,16,16,4,15,3,3,6,6,12,6,6,6,12,24,12,12,24,24,4,8,8,16,1,3,3,12,6,
6,12,6,6,12,12,4,4,4,8,8,4,3,3,3,6,1,4,3,1,1,1,1],[1,4,3,12,12,12,16,1,6,6,6,
8,8,6,12,6,6,6,12,12,12,12,24,16,16,16,1,3,3,3,3,3,3,6,6,6,12,6,6,6,6,6,12,6,
6,6,6,6,6,24,24,4,8,16,8,1,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,4,4,4,8,8,1,3,3,3,
3,3,3,1,4,3,1,1,1,1],[1,4,3,12,12,12,16,1,6,6,6,6,6,6,12,6,24,24,16,16,16,1,3,
3,3,3,3,3,6,6,6,6,12,6,6,12,6,6,6,6,6,6,6,6,4,16,1,3,3,3,3,3,3,6,6,6,6,6,6,6,
6,6,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,6,10,15,8,8,12,12,5,10,15,15,20,6,
30,6,6,6,8,8,8,12,12,12,12,12,60,12,12,12,8,8,8,8,24,24,24,16,5,10,2,2,3,15,
15,3,3,3,20,2,2,2,6,6,2,30,6,2,6,6,6,2,6,6,2,2,12,4,4,12,12,4,12,12,12,12,12,
4,12,4,12,4,12,12,12,4,12,4,12,12,12,4,4,4,12,4,12,4,12,60,12,12,4,12,12,4,4,
24,24,24,24,24,24,16,16,16,16,1,1,1,2,2,3,15,3,3,3,15,3,3,3,3,3,3,3,3,3,3,6,6,
2,2,2,6,6,2,6,6,2,6,2,6,2,2,2,6,6,2,6,2,6,6,6,2,6,2,2,6,6,6,6,2,6,6,6,6,6,2,
12,4,12,4,4,4,4,4,4,4,4,12,4,4,4,4,12,4,12,4,4,4,4,12,12,4,4,4,4,4,12,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,12,4,4,12,4,4,12,24,24,1,1,1,2,2,2,3,1,3,3,1,3,1,3,3,3,
1,1,1,1,3,1,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,6,6,2,6,6,6,6,2,2,6,2,6,6,6,2,2,6,
6,2,6,2,2,2,2,2,2,2,2,2,2,6,6,6,6,2,6,6,6,6,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,1,
2,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,1,1,3,1,1,1,1,1,1,1,1,1,3,1,3,1,1,1,3,2,2,2,2,
2,2,6,2,6,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,6,10,15,20,20,5,10,15,
15,20,10,30,10,10,10,20,20,60,20,20,40,40,16,5,10,5,15,15,5,5,5,20,10,10,30,
10,10,10,10,20,20,20,20,20,60,20,20,20,40,40,40,40,16,16,16,1,5,15,5,15,5,5,5,
5,5,5,10,10,10,10,10,10,10,10,10,10,20,20,40,40,16,1,5,5,5,5,5,5,10,10,10,10,
5,1,1,1,1,1],[1,15,20,5,10,20,10,10,20,20,40,16,15,5,5,10,20,20,20,40,16,1,5,
5,10,10,10,10,16,5,5,5,5,1,1,1],[1,15,20,5,10,20,10,10,20,20,40,16,15,5,5,10,
20,20,20,40,16,1,5,5,10,10,10,10,16,5,5,5,5,1,1,1],[1,15,24,12,64,5,10,20,6,6,
8,8,12,36,12,36,24,24,64,6,15,3,3,6,6,6,6,18,6,12,12,12,12,12,36,12,36,12,24,
48,16,32,32,32,32,1,1,1,2,3,3,3,3,6,6,6,6,6,6,18,6,18,12,12,12,12,12,12,16,32,
32,6,3,3,3,3,3,3,3,6,6,6,6,6,6,4,4,4,8,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,15,24,12,
64,5,10,20,6,6,8,8,12,12,36,36,24,24,64,6,15,3,3,6,6,18,6,6,6,12,12,36,12,12,
12,12,36,12,24,48,16,32,32,32,32,1,1,1,2,3,3,3,3,18,6,6,6,6,18,6,6,6,12,12,12,
12,12,12,16,32,32,6,3,3,3,3,3,3,3,6,6,6,6,6,6,4,4,4,8,1,3,3,3,3,3,3,4,4,4,3,1,
1],[1,6,10,15,12,12,64,5,10,15,15,20,6,30,6,6,6,8,8,12,12,60,12,12,24,24,64,5,
10,3,15,15,3,3,3,20,6,6,30,6,6,6,6,12,12,12,12,12,12,12,12,12,60,12,12,12,24,
24,24,24,24,24,16,32,32,32,32,1,1,1,2,3,15,3,3,3,15,3,3,3,3,3,3,3,3,3,3,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,24,24,16,32,32,1,1,1,2,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,4,4,4,8,1,3,3,3,3,3,
3,6,6,4,4,4,8,1,1,1],[1,6,10,15,16,16,12,12,16,5,10,15,15,20,6,30,6,6,6,16,12,
24,12,24,24,60,12,12,24,24,24,24,48,24,48,16,16,16,16,16,16,16,5,10,4,4,3,15,
15,3,3,3,20,6,6,6,6,6,6,30,6,6,12,6,12,6,6,6,6,6,12,12,24,12,24,24,24,12,24,
12,12,12,12,24,24,12,24,12,24,12,12,12,24,12,24,12,12,60,12,12,12,24,12,24,24,
24,24,48,4,8,8,16,16,16,16,16,16,16,1,4,3,15,3,15,3,3,3,3,3,3,12,6,6,6,6,6,6,
6,6,12,12,6,6,6,6,12,6,6,6,6,6,6,6,12,6,6,12,12,6,24,12,24,12,12,12,12,12,12,
12,12,24,12,12,12,24,12,24,12,12,12,12,12,12,12,12,12,12,12,24,24,4,4,4,4,4,4,
4,8,8,8,8,8,8,16,1,4,4,3,3,3,3,3,3,3,3,3,3,6,6,6,12,12,12,6,6,6,12,6,6,6,6,6,
6,6,6,12,12,12,12,1,4,4,4,4,4,4,4,8,8,4,3,3,3,3,3,3,3,6,6,6,1,1,1,1,1,1,1,4,3,
1,1,1,1,1,1,1,1],[1,6,10,15,20,20,5,10,15,15,20,10,30,10,10,10,20,20,60,20,20,
40,40,40,40,16,5,10,5,15,15,5,5,5,20,10,10,30,10,10,10,10,20,20,20,20,20,20,
20,60,20,20,20,20,20,40,40,40,40,80,16,16,16,1,5,15,5,15,5,5,5,5,5,5,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,20,20,20,20,20,20,40,40,16,16,16,1,5,5,5,5,5,
5,5,5,5,5,10,10,10,10,10,10,10,10,16,5,5,5,5,5,5,5,1,5,1,1,1,1,1,1,1],[1,6,10,
15,24,24,12,12,64,5,10,15,15,20,6,30,6,6,6,8,8,24,12,36,12,36,36,60,12,12,36,
24,24,24,24,24,72,24,48,64,64,64,5,10,6,6,3,15,15,3,3,3,20,6,6,6,6,6,6,30,6,6,
18,6,18,6,6,6,6,6,12,12,12,36,12,12,36,36,36,12,36,12,12,12,12,12,36,12,36,12,
12,12,36,12,36,12,12,12,36,12,36,12,12,60,12,12,12,12,36,12,12,24,24,24,24,24,
24,48,48,48,48,16,32,32,32,64,32,1,1,1,6,2,3,15,3,3,3,15,3,3,3,3,3,3,3,3,3,3,
18,6,6,6,6,6,6,6,6,6,6,18,6,18,6,6,6,6,18,6,6,6,6,6,6,6,6,6,6,6,18,6,6,6,6,6,
18,6,18,6,36,12,36,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,36,12,12,12,
12,12,36,12,12,12,12,12,36,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,24,24,16,16,16,32,32,32,32,32,32,1,1,1,6,2,6,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,18,18,18,6,6,6,6,18,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,
12,12,12,12,12,12,4,4,4,8,16,32,1,6,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,4,4,4,4,4,4,4,4,4,8,1,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,1,4,4,4,3,1,1,1,1],[1,15,60,160,5,10,20,30,30,40,40,
60,60,96,160,15,15,15,30,60,60,60,120,96,40,80,80,160,160,1,5,5,10,15,15,15,
15,30,30,30,40,80,15,15,15,30,10,20,20,40,32,32,5,6,10,6,5,1],[1,15,40,60,160,
5,10,20,30,30,40,40,60,60,60,60,120,120,96,160,160,160,10,15,15,15,30,30,30,
30,30,30,60,60,60,60,60,60,60,60,60,120,240,96,40,80,80,160,160,160,1,5,5,10,
15,15,15,15,30,30,30,30,30,30,30,30,30,60,60,60,60,60,60,96,40,40,40,80,80,
160,10,15,15,15,15,15,15,15,30,30,30,30,30,30,10,20,20,40,40,32,32,5,15,15,15,
15,15,15,6,10,10,10,20,20,32,15,6,5,10,6,5,1,1],[1,15,40,60,160,5,10,20,30,30,
40,40,60,60,60,60,120,120,96,160,160,160,10,15,15,15,30,30,30,30,30,30,60,60,
60,60,60,60,60,60,60,120,240,96,40,80,80,160,160,160,1,5,5,10,15,15,15,15,30,
30,30,30,30,30,30,30,30,60,60,60,60,60,60,96,40,40,40,80,80,160,10,15,15,15,
15,15,15,15,30,30,30,30,30,30,10,20,20,40,40,32,32,5,15,15,15,15,15,15,6,10,
10,10,20,20,32,15,6,5,10,6,5,1,1],[1,6,10,15,60,60,160,5,10,15,15,20,30,30,30,
30,30,40,40,60,60,60,60,60,120,120,96,160,160,160,5,10,15,15,15,15,15,15,20,
30,30,30,30,30,30,30,60,60,60,60,60,60,60,60,60,60,60,60,60,120,120,120,120,
120,120,96,96,96,40,80,80,160,160,160,1,5,5,10,15,15,15,15,15,15,15,15,15,15,
15,15,15,15,15,15,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,60,60,60,
60,60,60,120,120,96,40,40,40,80,80,80,80,1,5,5,10,15,15,15,15,15,15,15,15,15,
15,15,15,15,15,15,15,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,10,20,
20,40,40,80,32,32,5,15,15,15,15,15,15,30,30,6,10,10,10,20,20,40,5,6,6,6,5,10,
6,5,1,1],[1,6,10,15,40,40,60,60,160,5,10,15,15,20,30,30,30,30,30,40,40,40,60,
60,60,60,60,60,60,60,60,120,120,120,120,120,120,120,240,96,160,160,160,160,
160,160,160,5,10,10,10,15,15,15,15,15,15,20,30,30,30,30,30,30,30,30,30,30,30,
30,30,30,30,30,30,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,
60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,120,120,120,
120,120,120,240,240,240,240,96,96,96,40,80,80,160,160,160,160,160,160,160,160,
160,1,5,5,10,10,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,30,30,30,30,
30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,
30,30,30,30,30,30,30,30,30,30,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,
60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,
60,60,60,60,60,60,60,60,60,60,60,120,120,96,96,96,40,40,40,40,40,40,40,80,80,
80,80,80,80,160,160,160,1,5,5,10,10,10,15,15,15,15,15,15,15,15,15,15,15,15,15,
15,15,15,15,15,15,15,15,15,15,15,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,
30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,
30,30,30,30,30,30,30,30,30,30,60,60,60,60,60,60,60,60,60,60,60,60,96,10,20,20,
40,40,40,40,40,40,40,40,80,80,32,32,5,10,15,15,15,15,15,15,15,15,15,15,15,15,
15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,30,30,30,30,
30,30,30,30,30,30,30,30,30,6,10,10,10,10,10,10,10,20,20,20,20,20,20,40,40,32,
32,5,15,15,15,15,15,15,15,15,15,15,15,15,15,15,6,6,6,5,10,10,10,10,10,10,10,
20,20,15,6,6,6,5,5,5,10,6,5,1,1,1,1,1]],
[1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,5,6,6,6,6,6,6,6,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,10,10,10,12,12,12,12,12,12,12,12,12,12,12,12,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,20,20,20,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,40,48,48,48,48,48,48,48,48,48,
48,48,48,48,60,60,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,80,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,120,120,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,160,160,160,192,192,192,192,
192,192,192,192,192,192,256,320,320,320,384,384,384,384,640,768,960,1920,1920,
1920,3840],
[495,489,488,481,449,449,427,431,276,490,488,481,481,474,457,456,457,461,461,
444,443,449,430,394,405,394,394,421,405,430,394,361,367,362,367,313,363,330,
170,370,276,276,276,276,276,276,276,490,488,488,488,481,481,481,481,481,481,
474,461,457,457,457,461,457,456,461,461,456,453,456,461,457,453,457,461,394,
394,427,394,427,394,394,394,394,405,394,394,434,394,394,394,394,434,394,427,
427,394,394,394,394,394,394,394,394,394,394,394,394,421,405,430,434,430,394,
434,394,302,353,305,353,353,353,225,170,245,210,370,370,370,449,382,383,274,
276,276,276,276,276,276,276,275,495,490,490,488,487,481,481,481,481,481,481,
481,481,481,481,481,481,481,481,481,481,456,453,457,457,457,453,453,457,453,
453,461,456,457,456,461,461,461,453,456,457,453,457,453,453,453,461,453,457,
461,453,456,453,453,461,453,453,456,453,456,461,394,394,394,427,434,394,427,
427,394,394,394,427,427,394,394,394,394,434,394,394,394,394,427,427,394,394,
427,427,427,434,387,394,394,394,394,394,394,394,394,434,434,427,427,394,434,
394,394,434,434,434,434,434,434,353,353,370,370,370,449,449,449,449,449,449,
449,383,382,382,382,383,383,274,275,276,495,490,490,488,487,488,481,481,481,
481,481,481,481,481,481,481,481,481,481,481,481,481,481,481,481,481,481,481,
481,481,457,457,457,457,457,457,457,456,453,453,456,453,456,456,456,456,457,
453,456,456,453,453,461,457,453,453,461,453,461,456,461,456,457,461,461,457,
461,457,453,453,453,453,461,453,453,453,453,461,461,461,461,394,434,394,427,
427,394,434,394,427,427,434,434,370,488,479,480,449,449,449,450,449,449,449,
449,382,383,451,452,490,488,481,481,481,481,481,481,481,481,481,481,481,481,
481,481,481,481,481,481,481,481,481,481,481,481,481,481,481,481,481,481,481,
481,481,481,456,457,456,457,461,457,453,456,453,457,461,461,461,489,488,488,
488,488,488,488,488,479,479,480,480,479,480,449,450,451,452,490,481,481,481,
481,481,481,481,481,481,481,481,481,481,481,489,489,489,490,488,488,488,488,
488,488,488,479,480,481,489,489,489,490,490,490,488,489,490,495,495,495,495,
495],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,9,9,9,1,9,1,1,1,1,1,1,1,1,1,1,1,4,1,1,1,1,1,1,1,4,1,1,1,4,1,1,1,4,4,4,
1,4,1,4,4,1,4,4,1,1,4,4,4,4,4,4,4,1,1,1,4,4,1,1,1,4,1,1,4,4,4,1,4,4,1,4,4,1,1,
1,4,4,1,4,1,7,1,1,7,40,40,1,11,10,14,20,9,9,1,9,9,9,9,21,1,1,1,1,1,4,1,4,4,1,
1,4,1,4,4,4,1,4,4,1,4,4,4,4,4,4,4,4,1,4,1,4,4,4,4,4,4,4,4,4,4,1,1,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,1,4,4,4,4,7,19,4,7,7,4,4,4,4,7,4,4,4,4,19,4,4,4,4,7,4,4,4,
7,4,7,19,4,4,4,1,4,4,4,4,4,1,19,7,1,4,19,4,4,4,19,4,19,19,4,4,4,40,40,40,11,
130,130,130,11,11,130,132,131,131,10,14,132,133,141,9,1,10,10,11,10,11,4,10,4,
10,4,10,10,10,10,4,10,10,4,10,10,10,10,10,4,4,10,10,4,10,15,10,15,15,15,4,4,
11,10,10,11,10,11,4,4,11,15,10,4,11,10,4,19,4,4,10,10,10,19,11,19,10,15,4,19,
15,19,15,4,10,10,10,4,10,10,10,4,4,19,19,19,4,19,4,15,15,4,19,4,15,15,19,19,
40,142,143,144,11,130,130,146,130,130,130,130,131,132,384,385,10,11,55,55,55,
56,54,56,4,55,54,56,55,56,54,10,10,56,55,10,54,56,55,10,54,54,54,10,55,10,56,
10,54,10,56,10,54,55,11,55,56,15,10,54,10,15,19,56,19,142,142,371,371,142,142,
371,371,372,372,373,373,143,144,130,146,384,385,10,156,156,54,55,56,156,156,
56,55,156,156,156,156,54,435,435,142,386,142,371,371,371,371,371,371,372,373,
156,435,435,435,471,471,386,371,435,471,491,491,491,491,491],
[( 3,17)( 4,11)( 9,12)(10,18)(13,15)(14,21)(16,20)(19,22),( 1, 2)
( 3, 4,12,15,19,20,17, 5,13, 8)( 6,11,21, 9,23,22,14,16,24, 7)(10,18)],
[[[[]]],[[[1,1,2,-5,1,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,1,1,2,-1,3,1,4,
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1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,1,4,1]]],[[[1,1,2,1],[3,1,2,2,3,
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1,1,2,1,3,1]]],[[[2,-5]],[[1,1,2,-5,1,1]]],[[[1,1,2,1],[2,1,1,1,3,-2,2,-1,3,1,
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2,-1,3,-1,4,-1]]],[[[1,1,2,1],[1,1,2,-2,3,1,2,2,1,1,3,-1]]],[[[1,1,2,1],[2,1,
3,1],[4,1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,1,4,-1,3,-1,2,-1]]],[[[1,
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-2]]],[[[1,1,2,-1,1,1,2,3,1,1,2,-1]],[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,
2]]],[[[1,1,2,1],[3,2,1,1,2,-1,3,1,2,2]]],[[[1,1,2,1],[3,2,2,1,3,1]]],[[[1,1,
2,1],[2,1,3,1],[3,1,4,2,3,1]],[[1,1,2,1],[2,2,3,3,1,1,2,-1]]],[[[1,1,2,1],[2,
1,3,1,1,1,2,-2,3,-1]],[[1,1,2,1],[2,2,3,3,1,1,2,-1]]],[[[2,2],[3,1,2,1,1,1,3,
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1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1]]],[[[1,1,2,4]]],[[[1,1,2,-1,
1,1,2,3,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,1,3,-1,2,-1]]],[[[1,1,
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1],[2,3,1,1,3,-2]]],[[[1,1,2,1],[2,1,3,1],[4,1,3,1,4,1,2,1,1,1]],[[1,1,2,1],[
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1],[3,1,2,2,1,1,2,-2,3,-1]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1]]],[[[1,1,2,1],[
3,1,2,2,3,1]],[[2,1,1,1],[1,1,2,-3,1,1,2,1,3,2]]],[[[1,1,2,1],[2,3,1,1,3,
-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,2,2,-1,3,-1]]],[[[1,1,2,2,1,1,2,-3]]],[[[
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2,1,3,2,1,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,2,2,1,4,1,3,-1]],[[
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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],[3,1,2,1,
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1,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,2,2,1,4,1,3,-1]]],[[[1,1,2,1],[2,
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1,1,4,1,3,1]],[[1,1,2,1],[2,2,3,3,2,1,1,1]]],[[[1,1,2,1],[2,1,3,2,1,1,2,1,1,
1]],[[1,1,2,1],[1,1,2,-2,3,1,2,2,1,1,3,-1]]],[[[1,1,2,1],[2,1,3,2,1,1,2,1,1,
1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,3,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,
4,-1,3,-1,4,3,3,-1]]],[[[1,1,2,-5,1,1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,2,1,3,
1]],[[1,1,2,1],[2,2,3,3,1,1,2,-1]]],[[[1,1,2,-1,1,1,2,-1]],[[1,1,2,1],[3,1,1,
1,2,1,1,1,3,-2]]],[[[1,1,2,1],[3,2,2,1,3,1]],[[1,1,2,1],[2,2,3,3,2,1,1,
1]]],[[[1,1,2,1],[2,1,3,2,1,1,2,1,1,1]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1]],[[
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1]],[[1,1,2,-1,1,1,2,3,1,1,2,-1]]],[[[2,-5]],[[1,1,2,1],[2,1,3,2,1,1,2,1,1,
1]],[[1,1,2,1],[2,2,3,3,1,1,2,-1]]],[[[1,1,2,1],[1,1,2,-2,3,1,2,2,1,1,3,
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2,1,3,-1,2,-1],[4,1,3,-1,4,1]]],[[[1,1,2,1],[1,1,2,-2,3,-1,2,1,3,1]],[[2,2,1,
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1],[2,1,3,1,2,1,1,1,3,-2]],[[1,1,2,1],[1,1,2,-1,1,1,2,-1,3,1,2,1,3,1]]],[[[1,
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2,3,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,1,3,-1,2,-1]]],[[[2,2],[3,1,2,
1,1,1,3,1]],[[1,1,2,1],[1,1,2,-2,3,1,2,2,1,1,3,-1]]],[[[1,1,2,1],[3,1,1,1,2,1,
1,1,2,1,3,1]],[[1,1,2,1],[2,2,3,3,2,1,1,1]]],[[[1,1,2,1],[3,2,2,1,3,1]],[[2,1,
1,1],[1,1,2,1,3,-1,2,-1],[4,1,3,-1,4,1]]],[[[1,1,2,4]],[[1,1,2,1],[2,1,3,2,1,
1,2,1,1,1]]],[[[2,2],[3,1,2,1,1,1,3,1]],[[1,1,2,1],[3,1,2,2,1,1,2,-2,3,
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2,1],[2,1,1,1],[2,1,4,-1,3,1,4,1,3,-1,2,-1]]],[[[1,1,2,1],[3,2,2,1,3,1]],[[2,
1,1,1],[2,2,1,1,2,1,3,-2,2,-1]]],[[[1,1,2,1],[1,1,2,-2,3,-1,2,1,3,1]],[[1,1,2,
1],[2,2,3,2,2,1,1,1,2,-1]]],[[[2,2],[3,1,1,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[
4,1,3,-3,4,-1,2,-1]]],[[[2,2],[3,1,2,1,1,1,3,1]],[[2,2,1,1,2,-1,1,1,2,-1,1,1,
2,1]]],[[[2,-5]],[[1,1,2,1],[2,1,1,1],[2,1,4,-2,3,-2]]],[[[2,2],[3,1,1,1,2,1,
3,1]],[[1,1,2,1],[3,2,1,1,2,-1,3,1,2,1,3,1]]],[[[1,1,2,1],[2,1,3,1,1,1,2,-2,3,
-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-3,4,-1,2,-1]]],[[[1,1,2,1],[3,2,1,1,2,-1,3,
1,2,2]],[[1,1,2,1],[1,1,2,-2,3,1,2,2,1,1,3,-1]]],[[[2,2],[3,1,2,1,1,1,3,1]],[[
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3,1,5,1,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,1,1,2,-1,3,1,4,1]]],[[[2,2,1,
1,2,-1,1,1,2,-1,1,1,2,1]],[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,2]]],[[[2,-5]],[[2,
2,1,1,2,-1,1,1,2,-1,1,1,2,1]]],[[[1,1,2,1],[2,1,1,1,3,-2,2,1,3,1]],[[1,1,2,
1],[1,1,2,-2,3,1,2,2,1,1,3,-1]]],[[[1,1,2,1],[2,1,3,2,1,1,2,1,1,1]],[[1,1,2,
1],[3,1,2,2,1,1,2,-2,3,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,2,2,3,1]],[[1,1,2,1],[
1,1,2,-1,3,2,2,2]]],[[[1,1,2,1],[1,1,2,-1,3,2,2,1,3,1]],[[1,1,2,1],[1,1,2,-1,
3,1,2,2,1,1,3,1]]],[[[1,1,2,1],[3,1,2,2,1,1,2,-2,3,-1]],[[1,1,2,1],[1,1,2,-2,
3,1,2,2,1,1,3,-1]]],[[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1]],[[1,1,2,1],[2,2,3,3,
1,1,2,-1]]],[[[1,1,2,1],[1,1,2,-2,3,1,2,2,1,1,3,-1]],[[1,1,2,1],[2,1,1,1],[1,
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1,1,1],[4,1,3,-3,4,-1,2,-1]]],[[[2,2],[3,1,2,1,1,1,3,1]],[[1,1,2,1],[2,1,3,2,
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1],[2,1,1,1],[3,1,4,-1,2,-1,3,-1,4,1,2,-1]]],[[[1,1,2,1],[2,1,3,1],[4,1,3,2,4,
1]],[[1,1,2,1],[2,1,1,1],[2,1,4,3,3,-2]]],[[[1,1,2,4]],[[1,1,2,1],[2,1,3,2,1,
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115,126,132,136,232],[1,2,3,4,5,9,11,12,13,15,20,21,22,23,24,28,39,44,45,52,
59,63,66,81,83,116,117,125,138,139,233],[1,2,5,9,10,15,16,20,23,38,43,44,52,
65,72,109,119,127,137,153,234],[1,2,3,5,8,9,10,11,13,14,15,16,23,38,39,42,43,
44,45,46,53,54,56,57,63,65,71,76,110,115,121,122,125,127,128,172,187,235],[1,
2,5,9,10,15,16,20,23,38,43,44,52,65,118,127,236],[1,2,3,5,9,10,13,14,15,16,23,
27,38,39,43,44,46,49,50,51,58,65,71,73,78,127,128,152,156,167,180,237],[1,2,5,
9,10,14,15,16,23,38,43,44,46,65,124,127,238],[1,2,5,9,10,15,16,23,38,43,44,64,
65,127,134,239],[1,2,5,8,9,11,14,15,20,23,42,44,45,46,52,56,57,117,122,123,
140,155,240],[1,2,3,4,9,10,12,13,14,20,21,22,38,39,46,52,59,60,71,81,111,118,
128,135,139,241],[1,2,4,5,9,10,12,14,15,16,21,22,23,38,43,44,46,59,60,65,84,
111,124,127,136,142,242],[1,2,3,4,8,9,11,12,13,16,20,21,22,39,42,43,52,53,54,
59,70,72,74,75,81,119,121,126,139,146,170,185,243],[1,2,5,9,10,15,16,23,38,43,
44,62,65,127,159,244],[1,2,5,9,10,15,16,20,23,38,43,44,52,65,82,107,118,127,
143,153,245],[1,2,3,4,9,12,13,14,16,21,22,43,49,50,59,64,71,73,75,126,134,152,
163,186,246],[1,2,3,5,9,13,14,15,17,18,23,26,27,44,51,58,61,71,78,79,88,108,
141,156,179,181,247],[1,2,4,5,8,9,10,11,12,14,15,20,21,22,23,38,42,44,46,47,
52,56,57,59,67,82,84,122,124,130,133,135,142,143,248],[1,2,4,9,10,11,12,16,20,
21,22,38,43,45,52,59,60,67,75,80,111,126,129,132,138,150,153,249],[1,2,5,9,11,
15,16,19,23,26,40,44,45,48,55,61,65,123,141,144,250],[1,2,5,9,15,16,41,43,48,
55,64,65,109,134,149,251],[1,2,4,5,9,12,15,16,21,22,41,43,48,55,59,62,65,75,
126,149,159,160,176,252],[1,2,5,9,15,16,19,20,23,25,40,44,48,52,55,65,68,117,
144,147,253],[1,2,4,5,9,11,12,14,15,16,20,21,22,23,43,44,45,46,52,59,76,84,
115,123,132,137,138,140,142,254],[1,2,4,8,9,11,12,14,20,21,22,42,45,46,52,59,
70,74,112,130,135,138,140,146,155,255],[1,2,4,5,8,9,10,11,12,15,20,21,22,23,
24,28,38,42,44,47,52,59,60,66,67,69,70,74,77,80,82,83,111,116,133,143,146,148,
150,190,191,256],[1,2,4,5,9,12,15,16,19,21,22,23,24,26,28,40,44,48,55,59,61,
65,66,83,85,116,141,144,162,182,257],[1,2,4,8,9,10,11,12,16,20,21,22,38,42,43,
45,47,52,59,67,70,74,110,120,132,133,146,153,155,258],[1,2,5,9,15,16,20,41,43,
48,52,55,64,65,72,119,134,149,174,177,259],[1,2,3,5,9,11,13,14,15,16,19,23,27,
39,40,44,45,48,50,51,53,55,56,58,63,65,71,73,76,78,125,131,144,151,156,167,
173,187,189,260],[1,2,4,5,9,12,14,15,16,20,21,22,23,24,28,43,44,46,52,59,66,
75,80,83,84,116,126,135,136,137,142,150,261],[1,2,4,5,8,9,11,12,14,15,16,20,
21,22,23,42,43,44,46,52,56,57,59,69,70,74,77,120,122,130,136,137,146,148,
262],[1,2,4,8,9,10,11,12,20,21,22,38,42,45,47,52,59,67,70,74,80,118,129,133,
138,146,150,155,263],[1,2,3,8,9,11,13,14,16,42,43,49,50,64,71,73,120,134,152,
264],[1,2,3,9,10,13,14,20,38,39,46,52,71,118,124,128,265],[1,2,3,8,9,11,13,16,
39,42,43,53,54,62,64,121,134,159,183,184,266],[1,2,3,5,9,11,13,15,23,25,26,39,
44,45,61,63,68,125,141,147,267],[1,2,3,4,5,9,12,13,14,15,21,22,23,24,25,27,28,
44,51,58,59,66,68,71,78,83,87,116,147,156,161,178,268],[1,2,5,8,9,11,14,15,23,
25,26,42,44,46,56,57,61,68,122,141,147,164,169,269],[1,2,5,9,10,15,16,20,23,
38,43,44,52,72,82,112,117,118,119,137,143,153,270],[1,2,3,5,8,9,11,13,14,15,
16,19,23,27,40,42,44,46,48,49,51,54,55,56,57,58,63,65,71,73,76,78,114,122,131,
144,145,156,157,158,172,180,189,271],[1,2,5,9,15,16,17,18,19,23,25,40,44,48,
55,65,68,79,86,108,144,147,168,188,272],[1,2,5,8,9,11,15,16,41,42,43,48,55,62,
65,120,149,159,273],[1,2,4,5,8,9,11,12,14,15,20,21,22,23,42,44,46,52,59,69,70,
74,77,80,84,117,130,135,142,146,148,150,274],[1,2,3,4,5,9,10,11,12,13,14,15,
20,21,22,23,38,39,44,45,46,52,59,63,67,71,81,82,84,125,128,129,139,140,142,
143,275],[1,2,4,9,10,11,12,14,16,20,21,22,38,43,45,46,52,59,67,76,115,124,129,
135,136,140,153,276],[1,2,3,5,9,13,14,15,20,23,26,27,44,51,52,58,61,71,78,117,
141,156,277],[1,2,4,9,11,12,14,16,20,21,22,43,45,46,52,59,72,80,119,132,135,
136,138,140,150,278],[1,2,3,5,9,11,13,14,15,23,25,27,44,45,51,58,68,71,78,123,
147,156,279],[1,2,4,5,8,9,10,11,12,15,20,21,22,23,38,42,44,45,52,59,67,69,77,
82,110,123,129,138,143,148,155,280],[1,2,3,4,5,8,9,11,12,13,15,16,20,21,22,23,
39,42,43,44,45,52,53,54,59,63,69,77,81,121,125,132,137,139,148,155,281],[1,2,
3,4,8,9,10,11,12,13,14,16,20,21,22,38,39,42,43,46,47,52,53,54,59,67,71,81,121,
128,130,133,136,139,153,282],[1,2,3,9,13,14,16,20,43,49,50,52,62,71,72,73,119,
152,159,165,175,283],[1,2,3,5,8,9,11,13,14,15,16,27,39,41,42,43,48,49,50,51,
53,54,55,57,63,65,71,73,76,78,113,121,149,151,152,154,157,158,167,172,173,
284],[1,2,3,5,9,11,13,14,15,16,41,43,45,46,48,49,50,53,55,56,58,63,65,71,73,
76,78,115,145,149,152,154,173,180,187,189,285],[1,2,3,9,13,14,16,43,49,50,62,
71,73,109,152,159,286],[1,2,9,11,14,16,43,45,46,62,64,76,115,134,159,287],[1,
2,3,4,5,8,13,14,15,16,20,22,48,49,54,57,62,64,72,74,75,78,81,158,160,163,170,
175,177,184,288],[1,2,4,5,8,14,15,17,18,19,21,23,24,25,26,28,40,57,58,61,66,
68,69,79,84,85,86,114,162,164,168,171,178,179,289],[1,2,3,4,5,11,13,15,16,20,
22,27,48,50,51,53,62,63,64,70,72,75,81,151,160,165,177,183,185,186,290],[1,2,
3,4,8,13,16,20,22,41,50,54,62,64,72,74,75,81,113,165,170,174,176,184,186,
291],[1,2,3,4,11,13,14,16,20,22,41,49,53,62,64,70,72,73,75,76,81,154,163,174,
175,176,183,185,292],[1,2,3,4,5,8,13,14,15,16,17,18,21,23,24,25,26,27,28,51,
54,55,57,61,66,68,69,73,79,84,87,88,157,161,164,171,181,182,188,293],[1,2,4,5,
11,14,15,16,17,18,21,23,24,25,26,28,49,55,56,58,61,66,68,76,77,79,84,145,166,
169,178,179,182,188,294],[1,2,3,4,5,11,13,14,15,17,18,19,21,23,24,25,26,27,28,
40,51,56,61,63,66,68,77,78,79,84,85,86,87,88,131,161,162,166,168,169,181,
295],[1,2,6,7,10,31,89,91,92,94,296],[1,5,6,7,25,35,37,89,192,297],[1,3,5,6,7,
27,33,35,36,37,89,106,192,194,298],[1,4,5,6,7,28,30,34,35,37,89,102,192,193,
299],[1,2,7,9,10,38,94,97,107,300],[1,2,6,9,10,31,38,91,92,107,197,301],[1,2,
5,6,9,10,15,20,23,31,35,38,44,52,82,91,95,143,197,202,302],[1,2,4,6,8,9,10,11,
12,21,22,30,31,32,38,42,47,59,67,91,99,133,196,197,198,303],[1,2,5,7,9,15,17,
18,23,44,79,97,103,104,108,304],[1,2,6,8,9,10,11,31,38,42,45,91,100,110,197,
305],[1,2,7,9,16,43,97,109,306],[1,2,4,6,9,10,12,21,22,31,34,38,59,60,91,96,
111,197,201,307],[1,2,4,6,9,10,11,12,21,22,31,32,38,45,59,67,91,101,129,197,
198,308],[1,2,6,9,10,16,20,31,38,43,52,91,98,153,197,309],[1,2,4,5,6,10,11,12,
20,21,22,23,24,28,32,34,35,60,67,70,77,80,82,83,91,105,190,198,201,202,310],[
1,2,4,5,6,15,19,21,24,26,28,31,32,40,61,66,85,93,101,162,200,211,311],[1,2,4,
5,6,8,10,12,20,21,22,23,24,28,30,34,35,47,60,69,74,80,82,83,91,102,191,196,
201,202,312],[1,2,5,6,8,14,15,19,31,40,57,58,93,100,114,200,313],[1,2,4,6,16,
22,30,31,32,41,62,75,99,176,203,314],[1,2,3,6,8,13,16,31,41,50,54,100,113,203,
315],[1,2,5,6,15,17,18,19,23,25,31,35,40,68,79,86,93,95,168,200,214,316],[1,2,
6,16,20,31,41,64,72,98,174,203,317],[1,2,7,9,20,52,97,112,318],[1,2,3,5,7,9,
13,14,15,16,27,33,36,37,39,50,51,65,71,73,78,97,106,167,207,212,213,319],[1,2,
4,5,6,8,10,12,20,21,22,23,24,28,30,31,32,34,35,47,60,69,74,80,82,83,92,95,96,
98,99,100,101,102,105,191,199,204,205,206,208,209,210,320],[1,5,7,18,29,37,90,
103,321],[1,5,6,19,29,35,90,93,322],[1,5,7,18,29,37,90,103,323],[1,5,7,17,29,
37,90,104,324],[1,2,3,5,8,9,10,11,13,14,15,16,19,23,27,38,39,40,41,42,43,44,
45,46,48,49,50,51,53,54,55,56,57,58,63,65,71,73,76,78,110,113,114,115,121,122,
125,127,128,131,144,145,149,151,152,154,156,157,158,167,172,173,180,187,189,
218,235,237,260,271,284,285,325],[1,2,4,5,9,10,12,14,15,16,19,21,22,23,38,40,
41,43,44,46,48,55,59,60,65,84,111,124,127,136,142,144,149,218,238,242,326],[1,
2,5,9,10,15,16,19,20,23,38,40,41,43,44,48,52,55,65,82,107,118,127,143,144,149,
153,218,236,245,327],[1,2,5,9,10,15,16,17,18,20,23,38,43,44,52,65,72,79,82,
107,108,109,112,117,118,119,127,137,143,153,228,234,245,270,328],[1,2,5,9,10,
15,16,20,23,25,38,43,44,52,65,68,72,109,118,119,127,137,147,153,231,234,236,
329],[1,2,5,9,10,15,16,20,23,25,38,43,44,52,64,65,68,82,107,118,127,134,143,
147,153,231,239,245,330],[1,2,3,5,8,9,10,11,13,14,15,16,23,38,39,42,43,44,45,
46,53,54,56,57,62,63,64,65,71,76,110,115,121,122,125,127,128,134,159,172,183,
184,187,235,239,244,266,287,331],[1,2,4,5,9,10,11,12,14,15,16,21,22,23,24,28,
38,43,44,45,46,59,64,65,66,67,83,116,123,124,127,129,132,134,230,238,239,
332],[1,2,4,5,8,9,10,11,12,14,15,16,17,18,20,21,22,23,24,28,38,42,43,44,46,47,
52,56,57,59,60,65,66,67,69,70,74,75,77,79,80,82,83,84,108,111,116,117,120,122,
124,126,127,130,133,135,136,137,142,143,146,148,150,166,171,190,191,225,228,
229,242,248,256,261,262,274,333],[1,2,4,5,8,9,10,11,12,15,16,20,21,22,23,24,
28,38,42,43,44,45,47,52,59,60,65,66,67,69,70,74,75,77,80,82,83,107,110,111,
116,118,120,123,126,127,129,132,133,138,143,146,148,150,153,155,190,191,222,
225,230,245,249,256,258,263,280,334],[1,2,4,5,8,9,10,11,12,14,15,16,21,22,23,
25,38,42,43,44,46,47,59,65,67,68,69,75,77,120,124,126,127,133,147,148,225,231,
238,335],[1,2,4,5,9,10,11,12,15,16,20,21,22,23,24,28,38,43,44,45,52,59,62,65,
66,67,83,116,118,123,127,129,132,159,230,236,244,336],[1,2,4,5,9,10,11,12,15,
16,19,21,22,23,24,26,28,38,40,41,43,44,45,48,55,59,61,65,66,67,83,85,116,123,
127,129,132,141,144,149,162,182,218,227,230,250,257,337],[1,2,4,5,9,10,12,14,
15,16,21,22,23,25,38,43,44,46,59,60,62,65,68,84,111,124,127,136,142,147,159,
231,242,244,338],[1,2,3,4,5,9,10,11,12,13,14,15,16,21,22,23,24,25,27,28,38,39,
43,44,45,46,49,50,51,58,59,65,66,67,68,71,73,78,83,87,116,123,127,128,129,132,
147,152,156,161,167,178,180,230,231,237,268,279,339],[1,2,3,5,8,9,10,11,13,14,
15,16,23,25,26,38,39,42,43,44,45,46,53,54,56,57,61,63,65,68,71,76,110,115,121,
122,125,127,128,141,147,164,169,172,187,227,231,235,267,269,340],[1,2,4,5,9,
10,11,12,14,15,16,20,21,22,23,24,28,38,43,44,45,46,52,59,60,65,66,67,72,75,76,
80,83,84,109,111,115,116,119,123,124,126,127,129,132,135,136,137,138,140,142,
150,153,230,232,234,242,249,254,261,276,278,341],[1,2,3,5,8,9,10,11,13,14,15,
16,20,23,38,39,42,43,44,45,46,52,53,54,56,57,63,65,71,76,110,115,118,121,122,
124,125,127,128,130,140,172,187,224,235,236,238,265,342],[1,2,4,5,8,9,10,11,
12,15,16,19,21,22,23,38,40,41,42,43,44,47,48,55,59,62,65,67,69,75,77,120,126,
127,133,144,148,149,159,160,176,218,225,244,252,273,343],[1,2,5,9,10,15,16,17,
18,19,20,23,25,38,40,41,43,44,48,52,55,65,68,79,82,86,108,117,127,137,143,144,
147,149,168,188,218,228,231,253,272,344],[1,2,5,9,10,14,15,16,20,23,26,38,43,
44,46,52,61,65,72,109,119,124,127,137,141,153,227,234,238,345],[1,2,4,5,9,10,
12,14,15,16,21,22,23,26,38,43,44,46,59,60,61,64,65,84,111,124,127,134,136,141,
142,227,239,242,346],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,20,21,22,23,38,39,42,
43,44,45,46,47,52,53,54,56,57,59,60,63,65,67,71,76,81,82,84,107,110,111,115,
118,121,122,124,125,127,128,129,130,133,135,136,139,140,142,143,153,172,187,
220,222,224,235,241,242,245,248,275,276,282,347],[1,2,5,9,10,15,16,19,20,23,
38,40,41,43,44,48,52,55,64,65,72,109,119,127,134,137,144,149,153,174,177,218,
234,239,251,259,348],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,18,20,21,22,23,24,
28,38,39,42,43,44,45,46,52,53,54,56,57,59,63,65,66,67,69,71,76,77,79,81,82,83,
84,108,110,115,116,117,121,122,123,125,127,128,129,132,137,138,139,140,142,
143,148,155,166,171,172,187,219,228,229,230,233,235,240,254,275,280,281,349],[
1,2,3,4,5,8,9,10,11,12,13,14,15,16,21,22,23,27,38,39,42,43,44,46,47,49,50,51,
58,59,64,65,67,69,71,73,75,77,78,120,126,127,128,133,134,148,152,156,163,167,
180,186,225,237,239,246,264,350],[1,2,5,9,10,15,16,17,18,20,23,38,43,44,52,64,
65,79,82,108,117,118,127,134,137,143,228,236,239,351],[1,2,3,5,9,10,13,14,15,
16,20,23,27,38,39,43,44,46,49,50,51,52,58,62,65,71,72,73,78,109,119,127,128,
137,152,153,156,159,165,167,175,180,234,237,244,283,286,352],[1,2,3,4,5,9,10,
12,13,14,15,16,20,21,22,23,27,38,39,43,44,46,49,50,51,52,58,59,60,65,71,73,78,
81,84,111,118,124,127,128,135,136,139,142,152,156,167,180,236,237,241,242,265,
353],[1,2,3,5,9,10,13,14,15,16,17,18,20,23,26,27,38,39,43,44,46,49,50,51,52,
58,61,65,71,73,78,79,82,88,108,117,127,128,137,141,143,152,156,167,179,180,
181,227,228,237,247,277,354],[1,2,4,5,8,9,10,11,12,15,16,20,21,22,23,26,38,42,
43,44,47,52,59,61,65,67,69,75,77,118,120,126,127,133,141,148,225,227,236,
355],[1,2,3,5,9,10,13,14,15,16,20,23,27,38,39,43,44,46,49,50,51,52,58,65,71,
73,78,82,107,118,124,127,128,143,152,153,156,167,180,220,237,238,245,265,
356],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,20,21,22,23,38,39,42,43,44,45,46,47,
52,53,54,56,57,59,63,65,67,69,70,71,72,74,75,76,77,81,109,110,115,119,120,121,
122,125,126,127,128,130,132,133,136,137,139,146,148,153,155,170,172,185,187,
221,225,226,232,234,235,243,258,262,281,282,357],[1,2,5,9,10,14,15,16,17,18,
20,23,38,43,44,46,52,62,65,79,82,108,117,124,127,137,143,159,228,238,244,
358],[1,2,5,9,10,15,16,20,23,26,38,43,44,52,61,62,65,82,107,118,127,141,143,
153,159,227,244,245,359],[1,2,3,5,8,9,11,13,14,15,16,27,39,41,42,43,48,49,50,
51,53,54,55,57,62,63,64,65,71,73,76,78,109,113,120,121,134,149,151,152,154,
157,158,159,167,172,173,183,184,221,251,264,266,273,284,286,360],[1,2,3,5,9,
11,13,14,15,16,17,18,19,23,25,26,27,39,40,44,45,48,50,51,53,55,56,58,61,63,65,
68,71,73,76,78,79,86,88,108,123,125,131,141,144,147,151,156,167,168,173,179,
181,187,188,189,219,247,250,260,267,272,279,361],[1,2,3,4,5,9,11,12,13,14,15,
16,19,20,21,22,23,24,25,26,27,28,39,40,44,45,48,50,51,52,53,55,56,58,59,61,63,
65,66,68,71,73,76,78,81,83,85,87,116,117,125,131,138,139,141,144,147,151,156,
161,162,167,173,178,182,187,189,233,253,257,260,267,268,277,362],[1,2,3,5,8,9,
11,13,14,15,16,20,41,42,43,45,46,48,49,50,52,53,55,56,58,62,63,64,65,71,72,73,
76,78,115,119,120,130,134,145,149,152,154,155,159,165,173,174,175,177,180,187,
189,226,259,264,273,283,285,287,363],[1,2,3,5,8,9,11,13,14,15,16,19,20,23,25,
26,27,40,42,44,45,46,48,49,51,52,54,55,56,57,58,61,63,65,68,71,73,76,78,114,
117,122,123,131,140,141,144,145,147,155,156,157,158,164,169,172,180,189,240,
250,253,269,271,277,279,364],[1,2,3,4,5,9,11,12,13,14,15,16,21,22,41,43,45,46,
48,49,50,53,55,56,58,59,62,63,64,65,71,73,75,76,78,109,115,126,132,134,136,
145,149,152,154,159,160,163,173,176,180,186,187,189,232,246,251,252,285,286,
287,365],[1,2,3,4,5,8,9,11,12,13,14,15,16,20,21,22,27,39,41,42,43,48,49,50,51,
52,53,54,55,57,59,62,63,64,65,70,71,72,73,74,75,76,78,81,113,119,121,126,134,
139,146,149,151,152,154,157,158,159,160,163,165,167,170,172,173,174,175,176,
177,183,184,185,186,243,246,252,259,266,283,284,288,290,291,292,366],[1,2,3,4,
5,8,9,11,12,13,14,15,16,17,18,19,21,22,23,24,25,26,27,28,40,42,44,46,48,49,51,
54,55,56,57,58,59,61,63,65,66,68,69,71,73,76,77,78,79,83,84,85,86,87,88,108,
114,116,122,131,141,142,144,145,147,148,156,157,158,161,162,164,166,168,169,
171,172,178,179,180,181,182,188,189,229,247,257,268,269,271,272,289,293,294,
295,367],[1,2,4,5,8,9,10,11,12,14,15,16,20,21,22,23,38,42,43,44,45,46,47,52,
56,57,59,67,69,70,72,74,76,77,80,82,84,110,112,115,117,118,119,120,122,123,
124,129,130,132,133,135,136,137,138,140,142,143,146,148,150,153,155,224,226,
240,248,254,255,258,262,263,270,274,276,278,280,368],[1,2,3,4,5,8,9,10,11,12,
13,14,15,16,20,21,22,23,24,28,38,39,42,43,44,45,46,47,52,53,54,59,60,63,66,67,
69,70,71,72,74,75,77,80,81,82,83,84,111,112,116,117,118,119,121,125,126,128,
129,130,132,133,135,136,137,138,139,140,142,143,146,148,150,153,155,170,185,
190,191,223,233,241,243,249,255,256,261,263,270,274,275,278,281,282,369],[1,2,
4,6,7,8,10,12,30,31,34,47,89,91,92,94,96,100,193,196,205,296,370],[1,2,5,6,7,
10,20,23,31,35,37,82,89,91,92,94,95,98,192,202,209,215,296,371],[1,2,4,6,7,10,
21,22,30,31,32,34,60,89,91,92,94,99,101,193,199,201,296,372],[1,3,4,5,6,7,25,
27,28,30,33,34,35,36,37,87,89,102,106,192,193,194,297,298,299,373],[1,2,9,10,
29,38,107,374],[1,2,5,6,9,10,15,16,19,23,31,38,40,41,43,44,48,55,65,91,93,127,
144,149,197,200,203,218,375],[1,2,3,7,9,10,13,14,33,38,39,46,71,94,97,107,124,
128,207,220,300,376],[1,2,4,6,8,9,10,11,12,21,22,30,31,32,38,42,45,47,59,60,
67,91,92,99,101,107,110,111,129,133,196,197,198,199,222,301,303,308,377],[1,2,
4,6,8,9,10,11,12,21,22,31,34,38,42,45,47,59,60,67,91,92,96,100,107,110,111,
129,133,197,201,205,222,301,305,307,378],[1,2,3,5,7,9,11,13,15,17,18,23,36,39,
44,45,63,79,97,103,104,108,123,125,212,219,304,379],[1,2,3,5,7,9,13,14,15,17,
18,23,26,27,33,44,51,58,61,71,78,79,88,97,103,104,108,141,156,179,181,207,217,
247,304,380],[1,2,5,7,9,15,16,17,18,19,23,25,37,40,44,48,55,65,68,79,86,97,
103,104,108,144,147,168,188,213,216,272,304,381],[1,2,3,7,8,9,11,13,16,36,39,
42,43,53,54,97,109,120,121,212,221,306,382],[1,2,5,7,9,15,16,37,41,43,48,55,
64,65,97,109,134,149,213,251,306,383],[1,2,5,6,9,10,15,16,20,23,31,35,38,43,
44,52,65,82,91,92,95,98,107,118,127,143,153,197,202,209,245,301,302,309,384],[
1,2,4,5,6,8,9,10,11,12,15,20,21,22,23,31,32,35,38,42,44,45,52,59,67,69,77,82,
91,95,100,101,110,123,129,138,143,148,155,197,198,202,210,280,302,305,308,
385],[1,2,4,5,6,8,9,10,11,12,15,20,21,22,23,24,28,30,31,32,34,35,38,42,44,47,
52,59,60,66,67,69,70,74,77,80,82,83,91,95,96,99,102,105,111,116,133,143,146,
148,150,190,191,196,197,198,201,202,206,256,302,303,307,310,312,386],[1,2,4,6,
8,9,10,11,12,16,20,21,22,30,31,32,38,42,43,45,47,52,59,67,70,74,91,98,99,100,
110,120,132,133,146,153,155,196,197,198,208,258,303,305,309,387],[1,2,5,7,9,
10,15,16,20,23,37,38,43,44,52,65,82,94,97,107,118,127,143,153,213,215,245,300,
388],[1,2,4,6,9,10,11,12,16,20,21,22,31,32,34,38,43,45,52,59,60,67,75,80,91,
96,98,101,111,126,129,132,138,150,153,197,198,201,204,249,307,308,309,389],[1,
2,3,7,9,13,14,16,33,43,49,50,62,71,73,97,109,152,159,207,286,306,390],[1,2,3,
7,9,10,13,14,36,38,39,46,71,94,97,107,124,128,212,220,300,391],[1,2,4,5,6,8,
14,15,17,18,19,21,23,24,25,26,28,31,32,35,40,57,58,61,66,68,69,79,84,85,86,93,
95,100,101,114,162,164,168,171,178,179,200,210,211,214,289,311,313,316,392],[
1,2,3,4,6,8,13,16,20,22,30,31,32,41,50,54,62,64,72,74,75,81,98,99,100,113,165,
170,174,176,184,186,203,208,291,314,315,317,393],[1,2,3,4,7,9,12,13,20,21,22,
36,39,52,59,80,81,97,112,139,150,212,223,318,394],[1,3,5,7,18,26,27,29,33,36,
37,88,90,103,106,195,217,321,395],[1,3,5,7,18,26,27,29,33,36,37,88,90,103,106,
195,217,323,396],[1,4,5,6,19,24,26,29,32,34,35,85,90,93,105,195,211,322,397],[
1,2,3,4,5,8,9,10,11,12,13,14,15,16,19,20,21,22,23,27,38,39,40,41,42,43,44,45,
46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,63,65,67,71,73,76,78,81,82,84,
107,110,111,113,114,115,118,121,122,124,125,127,128,129,130,131,133,135,136,
139,140,142,143,144,145,149,151,152,153,154,156,157,158,167,172,173,180,187,
189,218,220,222,224,235,236,237,238,241,242,245,248,260,265,271,275,276,282,
284,285,325,326,327,342,347,353,356,398],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,
17,18,20,21,22,23,24,28,38,39,42,43,44,45,46,47,52,53,54,56,57,59,60,63,65,66,
67,69,70,71,72,74,75,76,77,79,80,81,82,83,84,107,108,109,110,111,112,115,116,
117,118,119,120,121,122,123,124,125,126,127,128,129,130,132,133,135,136,137,
138,139,140,142,143,146,148,150,153,155,166,170,171,172,185,187,190,191,219,
220,221,222,223,224,225,226,228,229,230,232,233,234,235,240,241,242,243,245,
248,249,254,255,256,258,261,262,263,270,274,275,276,278,280,281,282,328,333,
334,341,347,349,357,368,369,399],[1,2,4,5,8,9,10,11,12,15,16,19,20,21,22,23,
24,26,28,38,40,41,42,43,44,45,47,48,52,55,59,60,61,62,65,66,67,69,70,74,75,77,
80,82,83,85,107,110,111,116,118,120,123,126,127,129,132,133,138,141,143,144,
146,148,149,150,153,155,159,160,162,176,182,190,191,218,222,225,227,230,236,
244,245,249,250,252,256,257,258,263,273,280,327,334,336,337,343,355,359,400],[
1,2,3,4,5,9,10,11,12,13,14,15,16,20,21,22,23,24,25,27,28,38,39,43,44,45,46,49,
50,51,52,58,59,60,62,65,66,67,68,71,72,73,75,76,78,80,81,83,84,87,109,111,115,
116,118,119,123,124,126,127,128,129,132,135,136,137,138,139,140,142,147,150,
152,153,156,159,161,165,167,175,178,180,230,231,232,234,236,237,241,242,244,
249,254,261,265,268,276,278,279,283,286,329,336,338,339,341,352,353,401],[1,2,
3,5,9,10,13,14,15,16,17,18,20,23,26,27,38,39,43,44,46,49,50,51,52,58,61,62,65,
71,72,73,78,79,82,88,107,108,109,112,117,118,119,124,127,128,137,141,143,152,
153,156,159,165,167,175,179,180,181,220,227,228,234,237,238,244,245,247,265,
270,277,283,286,328,345,352,354,356,358,359,402],[1,2,3,4,5,8,9,10,11,12,13,
14,15,16,17,18,20,21,22,23,24,26,27,28,38,39,42,43,44,46,47,49,50,51,52,56,57,
58,59,60,61,64,65,66,67,69,70,71,73,74,75,77,78,79,80,81,82,83,84,88,108,111,
116,117,118,120,122,124,126,127,128,130,133,134,135,136,137,139,141,142,143,
146,148,150,152,156,163,166,167,171,179,180,181,186,190,191,225,227,228,229,
236,237,239,241,242,246,247,248,256,261,262,264,265,274,277,333,346,350,351,
353,354,355,403],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,20,21,22,23,25,26,38,39,
42,43,44,45,46,47,52,53,54,56,57,59,60,61,62,63,64,65,67,68,71,76,81,82,84,
107,110,111,115,118,121,122,124,125,127,128,129,130,133,134,135,136,139,140,
141,142,143,147,153,159,164,169,172,183,184,187,220,222,224,227,231,235,239,
241,242,244,245,248,266,267,269,275,276,282,287,330,331,338,340,346,347,359,
404],[1,2,5,9,10,15,16,17,18,19,20,23,25,38,40,41,43,44,48,52,55,64,65,68,72,
79,82,86,107,108,109,112,117,118,119,127,134,137,143,144,147,149,153,168,174,
177,188,218,228,231,234,236,239,245,251,253,259,270,272,327,328,329,330,344,
348,351,405],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,20,21,22,23,24,25,27,28,38,
39,42,43,44,45,46,47,49,50,51,52,58,59,60,64,65,66,67,68,69,70,71,73,74,75,77,
78,80,82,83,87,107,110,111,116,118,120,123,124,126,127,128,129,132,133,134,
138,143,146,147,148,150,152,153,155,156,161,163,167,178,180,186,190,191,220,
222,225,230,231,237,238,239,245,246,249,256,258,263,264,265,268,279,280,330,
332,334,335,339,350,356,406],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,18,19,20,
21,22,23,24,25,26,27,28,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,
57,58,59,61,63,65,66,67,68,69,71,73,76,77,78,79,81,82,83,84,85,86,87,88,108,
110,113,114,115,116,117,121,122,123,125,127,128,129,131,132,137,138,139,140,
141,142,143,144,145,147,148,149,151,152,154,155,156,157,158,161,162,164,166,
167,168,169,171,172,173,178,179,180,181,182,187,188,189,218,219,227,228,229,
230,231,233,235,237,240,247,250,253,254,257,260,267,268,269,271,272,275,277,
279,280,281,284,285,289,293,294,295,325,337,339,340,344,349,354,361,362,364,
367,407],[1,2,4,5,8,9,10,11,12,14,15,16,17,18,19,20,21,22,23,24,25,28,38,40,
41,42,43,44,46,47,48,52,55,56,57,59,60,62,65,66,67,68,69,70,74,75,77,79,80,82,
83,84,86,108,111,116,117,120,122,124,126,127,130,133,135,136,137,142,143,144,
146,147,148,149,150,159,160,166,168,171,176,188,190,191,218,225,228,229,231,
238,242,244,248,252,253,256,261,262,272,273,274,326,333,335,338,343,344,358,
408],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,18,20,21,22,23,24,28,38,39,42,43,
44,45,46,52,53,54,56,57,59,62,63,64,65,66,67,69,71,76,77,79,81,82,83,84,108,
110,115,116,117,118,121,122,123,124,125,127,128,129,130,132,134,137,138,139,
140,142,143,148,155,159,166,171,172,183,184,187,219,224,228,229,230,233,235,
236,238,239,240,244,254,265,266,275,280,281,287,331,332,336,342,349,351,358,
409],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,19,20,21,22,23,27,38,39,40,41,42,43,
44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,62,63,64,65,67,69,70,71,72,73,
74,75,76,77,78,81,109,110,113,114,115,119,120,121,122,125,126,127,128,130,131,
132,133,134,136,137,139,144,145,146,148,149,151,152,153,154,155,156,157,158,
159,160,163,165,167,170,172,173,174,175,176,177,180,183,184,185,186,187,189,
218,221,225,226,232,234,235,237,239,243,244,246,251,252,258,259,260,262,264,
266,271,273,281,282,283,284,285,286,287,288,290,291,292,325,331,343,348,350,
352,357,360,363,365,366,410],[1,2,4,5,9,10,11,12,14,15,16,19,20,21,22,23,24,
26,28,38,40,41,43,44,45,46,48,52,55,59,60,61,64,65,66,67,72,75,76,80,83,84,85,
109,111,115,116,119,123,124,126,127,129,132,134,135,136,137,138,140,141,142,
144,149,150,153,162,174,177,182,218,227,230,232,234,238,239,242,249,250,251,
254,257,259,261,276,278,326,332,337,341,345,346,348,411],[1,2,3,4,5,8,9,10,11,
12,13,14,15,16,20,21,22,23,25,26,38,39,42,43,44,45,46,47,52,53,54,56,57,59,61,
63,65,67,68,69,70,71,72,74,75,76,77,81,109,110,115,118,119,120,121,122,124,
125,126,127,128,130,132,133,136,137,139,140,141,146,147,148,153,155,164,169,
170,172,185,187,221,224,225,226,227,231,232,234,235,236,238,243,258,262,265,
267,269,281,282,329,335,340,342,345,355,357,412],[1,2,6,7,9,10,31,38,89,91,92,
94,97,107,197,296,300,301,413],[1,2,4,5,6,7,8,10,12,20,21,22,23,24,28,30,31,
32,34,35,37,47,60,69,74,80,82,83,89,91,92,94,95,96,98,99,100,101,102,105,191,
192,193,196,199,201,202,204,205,206,208,209,210,215,296,299,312,320,370,371,
372,414],[1,2,5,9,10,15,16,20,23,29,38,43,44,52,65,82,90,107,118,127,143,153,
245,374,415],[1,2,4,5,6,8,9,10,11,12,15,16,19,21,22,23,30,31,32,38,40,41,42,
43,44,47,48,55,59,62,65,67,69,75,77,91,93,99,120,126,127,133,144,148,149,159,
160,176,196,197,198,200,203,218,225,244,252,273,303,314,343,375,416],[1,2,4,5,
6,9,10,12,14,15,16,19,21,22,23,31,34,38,40,41,43,44,46,48,55,59,60,65,84,91,
93,96,111,124,127,136,142,144,149,197,200,201,203,218,238,242,307,326,375,
417],[1,2,4,5,6,9,10,11,12,15,16,19,21,22,23,24,26,28,31,32,38,40,41,43,44,45,
48,55,59,61,65,66,67,83,85,91,93,101,116,123,127,129,132,141,144,149,162,182,
197,198,200,203,211,218,227,230,250,257,308,311,337,375,418],[1,2,5,7,9,10,15,
16,17,18,20,23,38,43,44,52,65,72,79,82,94,97,103,104,107,108,109,112,117,118,
119,127,137,143,153,228,234,245,270,300,304,306,318,328,419],[1,2,5,6,9,10,15,
16,19,20,23,31,38,40,41,43,44,48,52,55,65,82,91,92,93,107,118,127,143,144,149,
153,197,200,203,218,236,245,301,327,375,420],[1,2,3,5,6,8,9,10,11,13,14,15,16,
19,23,27,31,38,39,40,41,42,43,44,45,46,48,49,50,51,53,54,55,56,57,58,63,65,71,
73,76,78,91,93,100,110,113,114,115,121,122,125,127,128,131,144,145,149,151,
152,154,156,157,158,167,172,173,180,187,189,197,200,203,218,235,237,260,271,
284,285,305,313,315,325,375,421],[1,2,5,6,9,10,15,16,17,18,19,20,23,25,31,35,
38,40,41,43,44,48,52,55,65,68,79,82,86,91,93,95,108,117,127,137,143,144,147,
149,168,188,197,200,202,203,214,218,228,231,253,272,302,316,344,375,422],[1,2,
5,6,9,10,15,16,19,20,23,31,38,40,41,43,44,48,52,55,64,65,72,91,93,98,109,119,
127,134,137,144,149,153,174,177,197,200,203,218,234,239,251,259,309,317,348,
375,423],[1,2,3,5,7,9,11,13,14,15,16,17,18,19,23,25,26,27,33,36,37,39,40,44,
45,48,50,51,53,55,56,58,61,63,65,68,71,73,76,78,79,86,88,97,103,104,106,108,
123,125,131,141,144,147,151,156,167,168,173,179,181,187,188,189,207,212,213,
216,217,219,247,250,260,267,272,279,304,319,361,379,380,381,424],[1,2,4,5,6,8,
9,10,11,12,15,16,20,21,22,23,24,28,30,31,32,34,35,38,42,43,44,45,47,52,59,60,
65,66,67,69,70,74,75,77,80,82,83,91,92,95,96,98,99,100,101,102,105,107,110,
111,116,118,120,123,126,127,129,132,133,138,143,146,148,150,153,155,190,191,
196,197,198,199,201,202,204,205,206,208,209,210,222,225,230,245,249,256,258,
263,280,301,302,303,305,307,308,309,310,312,320,334,377,378,384,385,386,387,
389,425],[1,2,3,5,7,9,10,13,14,15,16,20,23,27,33,36,37,38,39,43,44,46,49,50,
51,52,58,65,71,73,78,82,94,97,106,107,118,124,127,128,143,152,153,156,167,180,
207,212,213,215,220,237,238,245,265,300,319,356,376,388,391,426],[1,2,3,5,7,8,
9,11,13,14,15,16,27,33,36,37,39,41,42,43,48,49,50,51,53,54,55,57,62,63,64,65,
71,73,76,78,97,106,109,113,120,121,134,149,151,152,154,157,158,159,167,172,
173,183,184,207,212,213,221,251,264,266,273,284,286,306,319,360,382,383,390,
427],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,
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,
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,
183,184,185,186,187,188,189,190,191,218,219,220,221,222,223,224,225,226,227,
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,
285,286,287,288,289,290,291,292,293,294,295,325,326,327,328,329,330,331,332,
333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,
352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,398,
399,400,401,402,403,404,405,406,407,408,409,410,411,412,428],[1,2,5,6,7,9,10,
15,16,20,23,31,35,37,38,43,44,52,65,82,89,91,92,94,95,97,98,107,118,127,143,
153,192,197,202,209,213,215,245,296,300,301,302,309,371,384,388,413,429],[1,2,
4,6,7,8,9,10,11,12,21,22,30,31,32,34,38,42,45,47,59,60,67,89,91,92,94,96,97,
99,100,101,107,110,111,129,133,193,196,197,198,199,201,205,222,296,300,301,
303,305,307,308,370,372,377,378,413,430],[1,2,3,6,7,9,10,13,14,31,33,36,38,39,
46,71,89,91,92,94,97,107,124,128,194,197,207,212,220,296,300,301,376,391,413,
431],[1,2,5,9,10,15,16,20,23,26,29,38,43,44,52,61,62,65,82,90,107,118,127,141,
143,153,159,195,227,244,245,359,374,415,432],[1,5,6,7,17,19,25,29,35,37,86,89,
90,93,104,192,214,216,297,322,324,433],[1,2,3,4,5,7,8,9,10,11,12,13,14,15,16,
17,18,20,21,22,23,24,28,36,38,39,42,43,44,45,46,47,52,53,54,56,57,59,60,63,65,
66,67,69,70,71,72,74,75,76,77,79,80,81,82,83,84,94,97,103,104,107,108,109,110,
111,112,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,132,
133,135,136,137,138,139,140,142,143,146,148,150,153,155,166,170,171,172,185,
187,190,191,212,219,220,221,222,223,224,225,226,228,229,230,232,233,234,235,
240,241,242,243,245,248,249,254,255,256,258,261,262,263,270,274,275,276,278,
280,281,282,300,304,306,318,328,333,334,341,347,349,357,368,369,379,382,391,
394,399,419,434],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,19,20,21,22,23,27,31,
34,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,63,65,
67,71,73,76,78,81,82,84,91,92,93,96,100,107,110,111,113,114,115,118,121,122,
124,125,127,128,129,130,131,133,135,136,139,140,142,143,144,145,149,151,152,
153,154,156,157,158,167,172,173,180,187,189,197,200,201,203,205,218,220,222,
224,235,236,237,238,241,242,245,248,260,265,271,275,276,282,284,285,301,305,
307,313,315,325,326,327,342,347,353,356,375,378,398,417,420,421,435],[1,2,4,5,
6,8,9,10,11,12,14,15,16,17,18,19,20,21,22,23,24,25,28,30,31,32,34,35,38,40,41,
42,43,44,46,47,48,52,55,56,57,59,60,62,65,66,67,68,69,70,74,75,77,79,80,82,83,
84,86,91,93,95,96,99,102,105,108,111,116,117,120,122,124,126,127,130,133,135,
136,137,142,143,144,146,147,148,149,150,159,160,166,168,171,176,188,190,191,
196,197,198,200,201,202,203,206,214,218,225,228,229,231,238,242,244,248,252,
253,256,261,262,272,273,274,302,303,307,310,312,314,316,326,333,335,338,343,
344,358,375,386,408,416,417,422,436],[1,2,4,5,6,9,10,11,12,14,15,16,19,20,21,
22,23,24,26,28,31,32,34,38,40,41,43,44,45,46,48,52,55,59,60,61,64,65,66,67,72,
75,76,80,83,84,85,91,93,96,98,101,109,111,115,116,119,123,124,126,127,129,132,
134,135,136,137,138,140,141,142,144,149,150,153,162,174,177,182,197,198,200,
201,203,204,211,218,227,230,232,234,238,239,242,249,250,251,254,257,259,261,
276,278,307,308,309,311,317,326,332,337,341,345,346,348,375,389,411,417,418,
423,437],[1,2,5,7,9,10,15,16,17,18,19,20,23,25,37,38,40,41,43,44,48,52,55,64,
65,68,72,79,82,86,94,97,103,104,107,108,109,112,117,118,119,127,134,137,143,
144,147,149,153,168,174,177,188,213,215,216,218,228,231,234,236,239,245,251,
253,259,270,272,300,304,306,318,327,328,329,330,344,348,351,381,383,388,405,
419,438],[1,2,3,5,7,9,10,13,14,15,16,17,18,20,23,26,27,33,38,39,43,44,46,49,
50,51,52,58,61,62,65,71,72,73,78,79,82,88,94,97,103,104,107,108,109,112,117,
118,119,124,127,128,137,141,143,152,153,156,159,165,167,175,179,180,181,207,
217,220,227,228,234,237,238,244,245,247,265,270,277,283,286,300,304,306,318,
328,345,352,354,356,358,359,376,380,390,402,419,439],[1,2,4,5,6,8,9,10,11,12,
15,16,19,20,21,22,23,24,26,28,30,31,32,38,40,41,42,43,44,45,47,48,52,55,59,60,
61,62,65,66,67,69,70,74,75,77,80,82,83,85,91,92,93,99,101,107,110,111,116,118,
120,123,126,127,129,132,133,138,141,143,144,146,148,149,150,153,155,159,160,
162,176,182,190,191,196,197,198,199,200,203,211,218,222,225,227,230,236,244,
245,249,250,252,256,257,258,263,273,280,301,303,308,311,314,327,334,336,337,
343,355,359,375,377,400,416,418,420,440],[1,2,5,6,9,10,15,16,17,18,19,20,23,
25,31,35,38,40,41,43,44,48,52,55,64,65,68,72,79,82,86,91,92,93,95,98,107,108,
109,112,117,118,119,127,134,137,143,144,147,149,153,168,174,177,188,197,200,
202,203,209,214,218,228,231,234,236,239,245,251,253,259,270,272,301,302,309,
316,317,327,328,329,330,344,348,351,375,384,405,420,422,423,441],[1,2,3,4,5,6,
8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,31,32,35,38,39,
40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,61,63,65,66,67,68,69,
71,73,76,77,78,79,81,82,83,84,85,86,87,88,91,93,95,100,101,108,110,113,114,
115,116,117,121,122,123,125,127,128,129,131,132,137,138,139,140,141,142,143,
144,145,147,148,149,151,152,154,155,156,157,158,161,162,164,166,167,168,169,
171,172,173,178,179,180,181,182,187,188,189,197,198,200,202,203,210,211,214,
218,219,227,228,229,230,231,233,235,237,240,247,250,253,254,257,260,267,268,
269,271,272,275,277,279,280,281,284,285,289,293,294,295,302,305,308,311,313,
315,316,325,337,339,340,344,349,354,361,362,364,367,375,385,392,407,418,421,
422,442],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,19,20,21,22,23,27,30,31,32,38,
39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,62,63,64,65,67,
69,70,71,72,73,74,75,76,77,78,81,91,93,98,99,100,109,110,113,114,115,119,120,
121,122,125,126,127,128,130,131,132,133,134,136,137,139,144,145,146,148,149,
151,152,153,154,155,156,157,158,159,160,163,165,167,170,172,173,174,175,176,
177,180,183,184,185,186,187,189,196,197,198,200,203,208,218,221,225,226,232,
234,235,237,239,243,244,246,251,252,258,259,260,262,264,266,271,273,281,282,
283,284,285,286,287,288,290,291,292,303,305,309,313,314,315,317,325,331,343,
348,350,352,357,360,363,365,366,375,387,393,410,416,421,423,443],[1,2,4,5,6,7,
8,9,10,11,12,15,16,20,21,22,23,24,28,30,31,32,34,35,37,38,42,43,44,45,47,52,
59,60,65,66,67,69,70,74,75,77,80,82,83,89,91,92,94,95,96,97,98,99,100,101,102,
105,107,110,111,116,118,120,123,126,127,129,132,133,138,143,146,148,150,153,
155,190,191,192,193,196,197,198,199,201,202,204,205,206,208,209,210,213,215,
222,225,230,245,249,256,258,263,280,296,299,300,301,302,303,305,307,308,309,
310,312,320,334,370,371,372,377,378,384,385,386,387,388,389,413,414,425,429,
430,444],[1,2,3,5,6,7,9,10,13,14,15,16,20,23,27,31,33,35,36,37,38,39,43,44,46,
49,50,51,52,58,65,71,73,78,82,89,91,92,94,95,97,98,106,107,118,124,127,128,
143,152,153,156,167,180,192,194,197,202,207,209,212,213,215,220,237,238,245,
265,296,298,300,301,302,309,319,356,371,376,384,388,391,413,426,429,431,445],[
1,2,5,6,7,9,10,15,16,20,23,25,31,35,37,38,43,44,52,64,65,68,82,89,91,92,94,95,
97,98,107,118,127,134,143,147,153,192,197,202,209,213,215,231,239,245,296,297,
300,301,302,309,330,371,384,388,413,429,446],[1,2,3,4,5,7,8,9,10,11,12,13,14,
15,16,17,18,19,20,21,22,23,24,25,26,27,28,33,36,37,38,39,40,41,42,43,44,45,46,
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,
73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,94,97,103,104,106,107,108,109,
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,
186,187,188,189,190,191,207,212,213,215,216,217,218,219,220,221,222,223,224,
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,
282,283,284,285,286,287,288,289,290,291,292,293,294,295,300,304,306,318,319,
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,
363,364,365,366,367,368,369,376,379,380,381,382,383,388,390,391,394,398,399,
400,401,402,403,404,405,406,407,408,409,410,411,412,419,424,426,427,428,434,
438,439,447],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,
26,27,28,30,31,32,34,35,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,
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,
82,83,84,85,86,87,88,91,92,93,95,96,98,99,100,101,102,105,107,108,109,110,111,
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,
188,189,190,191,196,197,198,199,200,201,202,203,204,205,206,208,209,210,211,
214,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,
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,
293,294,295,301,302,303,305,307,308,309,310,311,312,313,314,315,316,317,320,
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,
363,364,365,366,367,368,369,375,377,378,384,385,386,387,389,392,393,398,399,
400,401,402,403,404,405,406,407,408,409,410,411,412,416,417,418,420,421,422,
423,425,428,435,436,437,440,441,442,443,448],[1,2,5,6,9,10,15,16,19,20,23,29,
31,35,38,40,41,43,44,48,52,55,65,82,90,91,92,93,95,98,107,118,127,143,144,149,
153,197,200,202,203,209,218,236,245,301,302,309,322,327,374,375,384,415,420,
449],[1,2,5,7,9,10,15,16,17,18,20,23,29,37,38,43,44,52,65,72,79,82,90,94,97,
103,104,107,108,109,112,117,118,119,127,137,143,153,213,215,228,234,245,270,
300,304,306,318,321,323,324,328,374,388,415,419,450],[1,2,3,4,5,6,7,8,9,10,11,
12,13,14,15,16,20,21,22,23,24,25,27,28,30,31,32,33,34,35,36,37,38,39,42,43,44,
45,46,47,49,50,51,52,58,59,60,64,65,66,67,68,69,70,71,73,74,75,77,78,80,82,83,
87,89,91,92,94,95,96,97,98,99,100,101,102,105,106,107,110,111,116,118,120,123,
124,126,127,128,129,132,133,134,138,143,146,147,148,150,152,153,155,156,161,
163,167,178,180,186,190,191,192,193,194,196,197,198,199,201,202,204,205,206,
207,208,209,210,212,213,215,220,222,225,230,231,237,238,239,245,246,249,256,
258,263,264,265,268,279,280,296,297,298,299,300,301,302,303,305,307,308,309,
310,312,319,320,330,332,334,335,339,350,356,370,371,372,373,376,377,378,384,
385,386,387,388,389,391,406,413,414,425,426,429,430,431,444,445,446,451],[1,2,
4,5,6,8,9,10,11,12,15,16,19,20,21,22,23,24,26,28,29,30,31,32,34,35,38,40,41,
42,43,44,45,47,48,52,55,59,60,61,62,65,66,67,69,70,74,75,77,80,82,83,85,90,91,
92,93,95,96,98,99,100,101,102,105,107,110,111,116,118,120,123,126,127,129,132,
133,138,141,143,144,146,148,149,150,153,155,159,160,162,176,182,190,191,195,
196,197,198,199,200,201,202,203,204,205,206,208,209,210,211,218,222,225,227,
230,236,244,245,249,250,252,256,257,258,263,273,280,301,302,303,305,307,308,
309,310,311,312,314,320,322,327,334,336,337,343,355,359,374,375,377,378,384,
385,386,387,389,397,400,415,416,418,420,425,432,440,449,452],[1,2,3,5,7,9,10,
13,14,15,16,17,18,20,23,26,27,29,33,36,37,38,39,43,44,46,49,50,51,52,58,61,62,
65,71,72,73,78,79,82,88,90,94,97,103,104,106,107,108,109,112,117,118,119,124,
127,128,137,141,143,152,153,156,159,165,167,175,179,180,181,195,207,212,213,
215,217,220,227,228,234,237,238,244,245,247,265,270,277,283,286,300,304,306,
318,319,321,323,324,328,345,352,354,356,358,359,374,376,380,388,390,391,395,
396,402,415,419,426,432,439,450,453],[1,2,5,6,7,9,10,15,16,17,18,19,20,23,25,
29,31,35,37,38,40,41,43,44,48,52,55,64,65,68,72,79,82,86,89,90,91,92,93,94,95,
97,98,103,104,107,108,109,112,117,118,119,127,134,137,143,144,147,149,153,168,
174,177,188,192,197,200,202,203,209,213,214,215,216,218,228,231,234,236,239,
245,251,253,259,270,272,296,297,300,301,302,304,306,309,316,317,318,321,322,
323,324,327,328,329,330,344,348,351,371,374,375,381,383,384,388,405,413,415,
419,420,422,423,429,433,438,441,446,449,450,454],[1,2,3,4,5,6,7,8,9,10,11,12,
13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,
39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,
65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,
91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,
112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,
131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,
150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,
169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,
188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,
207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,
226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,
245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,
264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,
283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,
302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,
321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,
340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,
359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,374,375,376,377,
378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,394,395,396,
397,398,399,400,401,402,403,404,405,406,407,408,409,410,411,412,413,414,415,
416,417,418,419,420,421,422,423,424,425,426,427,428,429,430,431,432,433,434,
435,436,437,438,439,440,441,442,443,444,445,446,447,448,449,450,451,452,453,
454,455]],
0,[[1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1,1],[1,3,1],[1,3,1],[1,1,1],[1,
1,2,1],[1,1,2,1],[1,1,1],[1,1,2,1],[1,1,1],[1,3,1],[1,3,1],[1,3,1],[1,1,1],[1,
1,2,1],[1,1,2,1],[1,1,2,1],[1,2,1,1],[1,1,1],[1,1,1],[1,2,1,1],[1,2,1,1],[1,
1],[1,3,1,1],[1,1,1,1],[1,3,1,1],[1,3,1,1],[1,1,1,1],[1,3,1,1],[1,1,1,1],[1,3,
1,1],[1,7,3,4,1],[1,3,4,1,6,1],[1,1,6,3,4,1],[1,1,3,1],[1,3,1,1,1,1],[1,3,1,2,
1],[1,3,4,1,2,4,1],[1,3,1,2,1],[1,3,1,2,1],[1,3,2,1,1,1,1],[1,1,4,2,1,1],[1,1,
2,1,1],[1,1,4,2,1,1],[1,1,4,2,2,1,4,1],[1,3,1,2,1],[1,1,2,1,1,1,1],[1,1,2,1,1,
1,1],[1,1,2,1,2,1],[1,1,2,1,1,1,1],[1,1,2,1,1,1,1],[1,1,2,2,1,1],[1,3,4,1,2,2,
2,1],[1,3,4,1,3,3,1],[1,1,2,1,2,1],[1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,1,1],[1,3,
2,1,1,1,1],[1,1,4,2,1,2,2,2,1],[1,3,2,1,1,1,1],[1,1,2,1,2,1],[1,1,2,2,1,1,1,
1],[1,1,2,1,1,1,1],[1,3,2,1,1,1,1],[1,1,1,2,1],[1,1,2,1,1,1,1],[1,1,2,1,1,1,
1],[1,1,4,1,2,1],[1,1,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,6,1,2,
2,2,1],[1,1,4,1,1,1,1],[1,1,2,2,1,1,1,1],[1,3,2,1,1,1,1],[1,1,4,2,1,1,1,2,2,
1],[1,1,2,2,1,1,1,1],[1,2,3,1,1,1,1],[1,5,1,1,1,1],[1,2,2,1,1,1,1,1],[1,2,3,1,
1,1,1],[1,2,2,1],[1,5,1,1],[1,3,4,1,1],[1,3,1,1,3,1],[1,3,4,1,1],[1,3,4,1,1],[
1,1,6,1,3,1,2,1],[1,1,2,1,1,1,2,1],[1,3,4,1,1],[1,1,1,3,1,1],[1,1,6,1,3,1,1,1,
1],[1,1,1,1,1,1],[1,1,6,1,3,1,2,1],[1,4,3,1,3,1,1,1,1],[1,3,4,1,1],[1,3,4,1,
1],[1,4,3,1,3,1,1,1,1],[1,4,3,1,3,1,1,1,1],[1,15,15,20,15,1],[1,3,12,1,6,8,8,
12,3,12,1],[1,3,1,6,3,1],[1,7,1,3,4,3,1,3,3,1],[1,7,8,3,4,4,12,12,1,6,8,1],[1,
3,1,6,3,1],[1,1,6,1,3,3,1,3,3,1],[1,1,6,1,3,3,4,1,3,3,1],[1,3,1,2,2,2,1,1,1,4,
1],[1,3,8,4,1,4,2,4,4,4,8,8,1,2,4,8,1],[1,3,4,1,2,4,4,1,2,1],[1,7,3,4,4,1,2,
1],[1,3,1,2,4,1,2,4,1],[1,3,2,1,2,2,2,1,1],[1,3,4,1,1,1,6,2,1,1,1,2,2,1],[1,3,
4,1,1,1,2,2,4,1,1,1,2,2,1],[1,3,4,1,4,2,4,1,2,1],[1,7,3,4,4,1,2,1],[1,3,4,4,1,
2,6,2,4,1,1,1,4,1],[1,3,8,1,4,2,4,4,1,2,4,1],[1,7,4,3,4,2,2,4,1,1,1,4,1],[1,7,
4,3,4,6,2,1,1,1,4,1],[1,7,4,3,4,2,2,2,2,1,1,1,4,1],[1,3,1,1,1,2,2,1,1,1,1],[1,
1,4,6,1,2,1,3,4,4,1,1,1,2,2,1],[1,3,4,1,2,2,2,2,2,1,1,1,1],[1,7,4,1,3,4,1,2,2,
2,1,1,2,1,2,1],[1,3,1,2,1,2,1],[1,3,4,1,2,2,2,2,2,1,1,1,1],[1,3,4,1,2,2,2,2,2,
1,1,1,1],[1,3,4,1,2,2,2,4,1,1,1,1],[1,3,4,1,2,2,2,2,2,1,1,1,1],[1,3,4,4,1,2,6,
2,2,2,1,1,1,4,1],[1,3,1,2,2,2,1,1,1,1],[1,3,4,1,2,4,4,1,2,1],[1,3,4,4,1,2,2,2,
2,2,4,1,1,1,4,1],[1,7,4,3,4,2,2,4,1,1,1,4,1],[1,3,8,1,4,2,4,4,1,1,2,1,2,1],[1,
1,2,1,3,1,2,2,1,1,1,2,1],[1,3,4,1,1,1,2,2,2,2,1,1,1,2,2,1],[1,3,4,1,2,4,4,1,2,
1],[1,3,4,4,1,1,1,2,2,2,2,4,1,1,1,2,2,1],[1,3,4,1,2,4,1,1,1,2,2,1],[1,3,8,1,4,
2,4,4,1,2,4,1],[1,1,6,4,1,3,2,1,8,1,1,2,1,2,1],[1,3,4,1,2,2,2,1,1,1,2,2,1],[1,
7,3,4,2,2,1,1,1,1],[1,1,2,1,1,2,3,1,1,1,2,2,1],[1,3,1,1,3,2,1,1,1,1],[1,3,4,4,
1,2,2,2,4,4,1,1,1,2,2,1],[1,1,4,2,1,2,1,1,2,4,1,2,1,1,2,1],[1,1,2,4,1,1,2,2,1,
1,1,1,2,2,1],[1,3,1,2,1,2,1],[1,1,4,4,2,1,2,1,1,1,1],[1,1,4,4,2,2,1,2,2,2,4,2,
1,1,1,4,1],[1,1,4,6,3,4,2,2,2,2,1,1,1,4,1],[1,1,4,2,1,2,1,1,1,1],[1,1,2,1,1,1,
2,2,1,1,1,1],[1,1,4,2,1,2,1,1,1,1],[1,1,4,6,1,1,1,2,2,2,2,2,2,1,1,2,1,2,1],[1,
3,6,2,1,7,1,1,1,4,1,1,1,1,1,1,1,1],[1,1,10,3,2,2,4,2,2,1,1,1,4,1],[1,1,2,1,1,
1,2,2,1,1,1,1],[1,1,2,4,1,1,1,2,2,1,1,2,1,2,1],[1,1,4,6,1,1,1,2,2,2,2,2,2,1,1,
2,1,2,1],[1,3,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,4,2,1,2,1,1,2,1,1,1,1,1,
1,1,1],[1,1,3,2,1,1,1,1],[1,1,2,1,2,1,1,1,1],[1,1,4,3,2,1,1,1,1],[1,1,4,2,1,2,
1,1,1,1],[1,1,4,2,2,1,2,2,2,2,1,1,1,1],[1,1,6,2,1,2,2,2,2,1,1,1,1],[1,3,2,2,1,
1,3,1,1,1,1,1,1,1,1,1,1],[1,1,4,6,2,1,2,2,2,2,4,1,1,1,4,1],[1,1,4,2,1,2,2,2,2,
2,1,1,1,1],[1,1,2,1,1,1,1,1,1,1],[1,1,2,1,1,1,1,1,1,1],[1,1,2,4,1,1,1,2,2,1,2,
1,1,2,1],[1,1,4,4,2,1,2,1,1,1,1],[1,3,2,2,1,2,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,6,
1,2,2,2,2,2,1,1,1,1],[1,1,2,4,1,1,2,2,1,1,1,1,1,1,1,1,1],[1,3,6,2,1,1,1,1,3,3,
1,2,2,1,1,1,1,1,1,1,1],[1,3,6,2,1,1,1,1,3,3,1,2,2,1,1,1,1,1,1,1,1],[1,9,2,2,6,
6,1,1],[1,3,2,2,1,3,1,1],[1,3,2,2,1,3,1,1],[1,5,5,1,1,1],[1,3,6,4,3,1,3,4,3,1,
1],[1,7,4,3,4,4,1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,12,1,1,9,9,1,3,3,3,1,3,3,
1],[1,1,6,4,3,4,4,1,1,1],[1,3,4,4,1,3,3,4,1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,1,
4,3,4,1,1],[1,1,8,1,1,3,3,1,2,2,3,1,1,1,1],[1,3,2,1,1,1,1,3,2,1,1,1,1,1],[1,1,
8,6,1,1,3,3,6,6,1,1,1,2,2,3,1,1,1,2,2,1],[1,3,6,4,1,3,3,4,3,1,1],[1,1,6,1,1,3,
3,1,1,1,3,1,1,1,1],[1,3,6,1,1,3,3,3,2,3,1,1,1,1],[1,1,6,6,1,1,3,3,1,2,2,3,1,1,
1,1],[1,6,3,4,1,3,3,4,3,1,1],[1,3,4,4,1,6,4,1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,
9,4,3,1,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,9,4,1,3,3,4,3,1,1],[1,6,3,4,1,3,
3,4,3,1,1],[1,7,12,3,4,6,6,8,12,1,2,2,3,3,6,6,12,3,6,6,1],[1,3,4,12,1,6,6,6,8,
8,12,1,3,3,12,12,1,3,3,1],[1,15,4,15,20,6,6,15,1,3,12,1,3,3,1],[1,3,4,3,1,3,6,
6,1,3,3,6,6,1,3,3,1],[1,15,8,1,15,20,3,4,12,12,15,3,3,4,6,8,12,1,1,1,6,6,1],[
1,3,4,12,1,6,6,6,6,6,1,3,3,12,12,1,3,3,1],[1,7,1,3,4,3,4,4,1,3,3,2,2,1,1,1,2,
2,1],[1,7,8,4,2,3,4,2,4,2,2,4,4,4,1,2,1,1,4,2,4,4,4,4,4,1,1,1,2,2,1],[1,3,2,1,
4,2,2,4,2,1,1,1,2,4,4,1,1,1,2,2,1],[1,7,4,3,4,2,2,4,8,1,1,1,4,4,1,2,1],[1,7,
12,3,4,6,2,8,8,4,12,1,1,3,2,4,12,8,1,1,1,2,2,1],[1,3,8,12,1,1,1,4,2,6,8,8,4,4,
12,8,8,1,3,1,2,2,2,4,4,4,12,8,8,1,1,1,2,2,4,4,1],[1,7,8,4,3,4,4,4,2,2,4,4,4,8,
8,1,1,1,2,2,4,4,8,8,1,1,1,2,2,1],[1,7,4,3,4,2,2,4,8,1,1,1,4,4,1,2,1],[1,3,8,1,
2,4,2,6,4,4,3,1,1,2,4,4,1,1,1,2,2,1],[1,3,4,8,4,1,2,4,6,2,4,4,4,4,8,8,1,1,1,2,
2,4,4,8,8,1,1,1,2,2,1],[1,7,4,3,4,2,6,4,4,1,3,1,2,4,4,1,1,1,2,2,1],[1,7,4,4,1,
3,4,3,6,2,2,2,4,1,1,3,1,1,3,1,2,2,2,2,4,4,4,4,1,1,1,1,1,1,1,4,4,1],[1,7,4,3,4,
2,2,8,4,1,1,1,4,4,2,1,1],[1,7,8,4,3,4,12,4,2,2,4,8,1,2,1,1,2,2,2,2,2,4,8,4,4,
1,2,2,2,4,4,1],[1,7,4,3,4,8,2,2,4,1,1,1,4,4,2,1,1],[1,7,4,3,4,2,2,4,1,1,1,4,4,
1,2,1],[1,3,4,1,1,5,2,2,4,4,1,1,2,1,2,2,2,1,1,1,2,2,1],[1,7,4,8,3,4,4,6,2,4,
12,12,1,1,1,2,6,8,4,8,1,1,1,2,2,1],[1,7,8,4,3,4,4,4,2,2,12,12,4,1,1,1,2,6,8,4,
8,1,1,1,2,2,1],[1,3,4,8,1,1,1,4,6,2,4,4,4,1,1,1,2,2,2,2,4,4,4,4,8,1,1,1,2,2,4,
4,1],[1,7,4,3,4,2,2,4,1,1,1,4,4,1,2,1],[1,15,4,15,20,2,2,4,4,15,1,1,2,4,8,1,1,
1,2,2,1],[1,3,4,8,1,4,2,2,2,4,4,1,1,1,2,2,2,2,4,1,1,1,2,2,1],[1,3,4,12,1,2,2,
6,8,8,12,4,4,3,1,1,2,2,2,12,8,1,1,1,2,2,1],[1,7,4,4,1,3,4,1,2,4,2,2,2,2,4,1,1,
1,2,2,1,2,2,1,2,4,4,1,1,1,1,1,1,1,1],[1,7,12,3,4,2,6,2,2,14,14,1,1,1,1,7,8,4,
4,4,1,1,1,1,1,1,1,1],[1,3,8,1,4,4,2,4,4,4,1,1,2,2,1,2,2,1,1,1,1],[1,3,4,1,2,8,
1,3,1,2,2,2,1,1,1,1],[1,3,8,4,1,4,2,4,4,4,1,1,1,2,2,2,2,4,1,1,1,2,2,1],[1,3,8,
1,4,2,4,4,4,4,1,1,2,2,1,2,2,1,1,1,1],[1,3,4,4,1,4,2,2,2,2,2,2,2,4,1,1,2,1,1,1,
4,4,1,1,1,1,1,1,1,1],[1,3,4,1,1,3,2,2,6,2,2,1,1,1,3,1,2,2,1,1,1,1,1,1,1,1],[1,
7,12,4,1,3,4,1,6,2,2,14,14,4,8,8,1,1,1,2,1,7,8,4,2,2,2,2,2,4,4,8,1,1,1,1,1,1,
1,4,4,1],[1,3,8,8,1,4,4,2,4,4,4,4,8,4,8,1,1,2,1,2,2,2,4,8,8,1,1,1,2,2,1],[1,7,
4,2,3,4,4,2,2,2,2,2,1,4,1,3,2,1,1,2,2,2,1,1,1,1,1,1,1,1],[1,3,4,1,2,4,4,1,1,1,
2,2,2,2,4,1,1,1,2,2,1],[1,3,8,8,1,2,8,2,4,2,4,4,12,1,1,1,1,2,2,3,2,1,2,1,6,2,
2,2,2,4,1,2,1,2,1,2,2,2,2,1],[1,3,12,4,1,6,2,2,2,2,6,6,4,8,8,1,1,1,1,3,4,4,4,
8,4,1,1,1,1,1,1,1,1],[1,3,4,4,2,1,2,2,2,2,2,2,2,2,4,2,1,1,1,1,2,2,1,2,2,2,2,1,
1,1,1,1,1,1,1],[1,7,8,1,3,4,3,4,4,4,4,1,1,1,2,2,2,6,2,2,4,1,1,1,1,1,1,1,1],[1,
3,4,2,1,2,2,2,2,2,1,1,1,2,2,2,1,1,1,1],[1,7,4,3,4,6,6,4,1,1,3,2,4,1,1,1,1],[1,
3,4,1,1,1,6,2,1,1,1,2,2,2,2,1,1,1,2,2,1],[1,3,4,4,1,2,6,2,4,4,4,1,1,1,2,4,2,1,
1,1,1],[1,3,4,8,4,1,4,2,2,2,4,4,4,8,4,4,8,1,1,1,2,4,2,2,2,8,8,1,1,1,2,2,1],[1,
3,4,1,1,1,2,2,4,4,4,1,1,1,2,2,2,2,1,1,1,2,2,1],[1,7,4,3,4,2,2,8,4,1,1,1,4,4,4,
1,1,1,1,1,1,1,1],[1,3,4,8,1,1,1,2,4,4,2,4,4,4,1,1,1,1,2,2,1,2,1,2,4,3,2,2,2,2,
2,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,3,16,1,8,2,8,8,4,12,4,1,3,2,1,2,2,12,8,1,1,1,
2,2,1],[1,3,4,2,1,2,2,4,1,2,1,1,2,2,2,1,1,1,1],[1,3,8,4,1,1,1,4,2,2,4,4,4,4,1,
1,1,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,7,4,4,4,3,4,2,2,6,2,2,2,2,2,4,1,1,1,1,
1,1,1,4,4,4,4,4,4,1,1,1,1,1,1,1,1],[1,7,4,3,4,2,2,4,2,2,2,2,1,1,1,2,1,1,4,4,1,
1,1,1,1,1,1,1],[1,3,4,4,1,2,2,2,4,4,4,4,1,1,2,1,2,2,2,1,1,1,1],[1,3,8,1,2,4,2,
2,4,4,4,1,1,1,2,2,4,4,1,1,1,1,1,1,1,1],[1,3,4,4,1,4,2,2,2,4,4,4,1,2,1,1,2,2,2,
1,1,1,1],[1,7,4,4,1,3,4,5,2,2,2,2,2,4,1,3,1,4,1,1,4,2,2,4,1,1,1,1,1,1,1,1],[1,
3,4,4,4,1,1,3,2,6,2,2,2,2,2,4,1,1,1,1,1,1,2,2,1,4,2,2,4,1,1,1,1,1,1,1,1],[1,7,
4,4,1,3,4,1,2,6,2,2,2,2,2,1,1,1,1,1,2,1,2,2,1,2,4,4,1,1,1,1,1,1,1,1],[1,3,4,1,
2,2,2,4,1,1,1,2,2,2,4,2,1,1,1,2,2,1],[1,3,8,4,1,1,1,8,2,2,4,8,1,1,1,1,1,1,3,2,
2,4,2,2,2,2,2,4,2,2,1,1,1,1,1,1,2,1,2,2,2,1],[1,3,4,4,1,2,2,4,2,4,1,1,1,1,1,3,
1,2,2,2,2,2,2,2,4,6,2,1,2,1,1,2,2,2,2,2,1],[1,3,4,1,2,2,6,3,1,1,2,2,2,1,1,1,
1],[1,3,1,2,2,2,1,1,1,2,2,4,1,1,1,1],[1,1,2,4,4,1,1,2,2,1,2,2,1,1,1,2,1,1,1,2,
1,2,2,1,1,1,1,1,1,1,1],[1,1,4,10,1,3,3,2,2,4,2,2,2,2,2,2,1,3,3,1,1,1,2,1,2,4,
4,1,1,1,1,1,1,1,1],[1,1,6,4,4,1,3,2,1,2,2,8,1,1,2,1,1,2,1,2,1,1,2,1,1,1,1,1,1,
1,1],[1,1,6,4,1,3,3,2,2,1,3,3,1,1,1,2,1,2,1,1,1,1,1,1,1,1],[1,1,2,4,1,1,2,3,2,
2,1,1,1,1,1,2,1,2,1,2,2,1,1,1,1,1,1,1,1],[1,1,4,4,6,1,2,1,1,2,2,2,2,2,2,2,2,4,
2,1,2,1,1,1,1,1,2,2,1,2,4,4,1,1,1,1,1,1,1,1],[1,1,4,6,1,3,1,2,2,2,2,2,2,2,2,2,
2,1,1,1,1,1,1,2,2,1,2,1,1,1,1,1,1,1,1],[1,1,4,4,10,1,2,1,3,2,2,4,2,2,2,2,2,4,
2,1,1,1,1,2,1,1,2,2,1,2,4,4,4,4,1,1,1,1,1,1,1,1],[1,3,5,8,1,3,4,1,1,2,1],[1,9,
2,2,9,6,6,1,1,1],[1,6,9,2,2,9,2,6,6,6,1,6,1,2,1],[1,6,9,2,2,9,2,6,6,6,1,6,1,2,
1],[1,15,16,15,20,15,8,12,1,1],[1,15,4,15,20,12,15,1,4,1,3,1],[1,7,12,4,3,4,6,
6,12,4,8,1,3,3,12,1,4,3,1,2,1],[1,7,12,4,3,3,4,3,6,6,6,4,4,4,1,3,6,3,6,1,4,3,
1,1,1,1],[1,3,12,16,1,6,8,8,12,3,12,4,8,8,1,1],[1,7,4,1,3,4,3,4,1,3,3,1,4,1,1,
1],[1,3,16,1,6,3,4,1,1],[1,7,8,4,3,4,4,12,12,4,8,1,6,8,1,4,1,1,2,1],[1,7,12,4,
3,4,6,6,6,6,4,8,1,3,3,12,1,4,3,1,2,1],[1,7,4,3,4,6,6,4,1,3,3,1,4,3,1,1],[1,3,
10,6,4,1,3,3,3,3,3,3,6,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,12,6,4,3,4,6,
6,6,6,4,8,1,3,3,12,1,4,3,1,2,1],[1,3,10,6,4,3,1,3,3,3,3,3,6,6,4,4,4,3,1,3,3,3,
3,3,1,4,3,1,1,1,1],[1,1,6,4,1,3,3,4,4,1,3,3,1,4,1,1,1],[1,1,12,4,3,6,4,4,4,1,
3,3,4,3,1,1],[1,1,6,4,1,3,3,4,1,3,3,4,1,1,1],[1,1,18,4,3,6,6,4,6,6,4,8,1,3,3,
12,1,4,3,1,2,1],[1,1,4,3,6,4,1,3,3,4,3,1,1],[1,3,16,1,6,3,4,1,1],[1,3,10,6,4,
1,9,3,3,3,12,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,3,14,6,1,1,1,1,3,9,9,3,6,6,
1,3,3,2,2,1,3,3,3,3,3,3,1,1,1,1,3,1,3,2,2,3,1,1,1,1,1,1,1,1],[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],[
1,7,12,12,1,3,4,3,18,6,6,6,8,12,24,1,3,2,2,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,12,
12,12,12,12,12,1,2,2,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,1,3,3,
6,6,6,6,1],[1,7,8,12,3,4,4,12,6,6,8,12,12,12,1,2,2,3,3,6,6,6,6,8,12,24,1,3,3,
6,6,6,6,1,3,3,1],[1,15,12,15,20,6,6,8,12,12,15,2,2,3,3,6,6,6,12,24,1,3,3,6,6,
6,6,1,3,3,1],[1,15,12,15,20,6,6,8,8,12,12,15,3,3,6,12,12,12,24,1,1,1,2,3,3,3,
3,6,6,6,3,3,3,6,1],[1,7,4,3,4,2,6,12,4,8,1,3,1,6,4,4,4,1,2,1,1,2,2,2,1,1,1,
1],[1,15,4,15,20,2,2,4,4,8,15,1,1,2,4,4,4,8,1,1,1,2,2,2,2,1,1,1,1],[1,7,4,4,1,
3,4,3,6,2,2,2,4,1,1,3,1,1,3,1,2,2,2,2,4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,4,4,4,4,1,
1,1,2,2,1],[1,7,8,4,3,4,4,4,8,2,2,4,4,4,8,8,1,1,1,2,4,2,4,4,4,8,8,1,1,2,1,2,2,
2,1,1,1,1],[1,7,16,12,2,3,4,2,8,4,6,2,8,8,4,16,16,12,16,16,1,2,1,3,2,4,2,4,4,
8,8,4,8,4,8,4,4,4,8,12,8,8,16,16,1,1,2,1,1,2,1,1,1,2,2,2,2,2,4,2,2,4,2,8,8,8,
8,1,1,2,1,2,2,2,2,2,1],[1,15,16,4,2,15,20,6,8,2,2,4,24,24,4,8,8,15,6,1,1,6,8,
2,12,16,4,4,24,4,4,4,4,4,8,8,8,1,2,2,1,1,1,1,1,1,12,2,12,2,2,2,2,2,2,2,8,8,2,
1,1,1,2,2,2,2,2,1],[1,7,8,4,2,3,4,2,4,8,2,2,4,4,4,8,1,2,1,1,4,4,2,4,4,4,4,4,4,
1,2,1,1,2,2,2,1,1,1,1],[1,7,8,4,3,4,4,4,2,2,8,4,4,4,8,8,1,1,1,2,4,2,4,4,4,8,8,
1,2,1,1,2,2,2,1,1,1,1],[1,7,8,12,3,4,4,4,6,6,8,4,4,12,8,8,8,1,2,2,3,3,2,6,6,2,
4,12,4,8,8,16,1,1,3,2,2,2,6,6,4,4,1,1,1,2,2,1],[1,7,8,4,3,4,4,4,2,2,12,12,4,8,
1,1,1,2,6,8,4,4,4,8,1,1,1,2,2,2,2,1,1,1,1],[1,7,8,8,4,3,4,4,4,12,4,2,2,4,4,4,
8,8,8,8,1,2,1,1,2,2,2,2,2,2,2,4,4,8,4,8,4,4,8,16,1,1,1,2,2,2,2,2,2,4,4,4,4,1,
1,1,2,2,1],[1,7,4,4,1,3,4,3,6,2,2,2,4,8,8,1,1,3,1,1,3,1,2,2,2,2,4,4,4,4,4,4,1,
1,1,1,1,1,1,2,2,4,4,4,4,1,1,1,2,2,1],[1,7,16,4,3,4,4,8,4,2,6,4,16,16,4,8,8,1,
3,1,2,2,2,8,8,4,4,8,4,8,8,8,8,8,1,1,2,1,1,1,1,2,1,2,4,2,4,2,2,2,2,2,2,1,2,1,1,
2,2,2,2,2,1],[1,7,4,4,1,3,4,3,6,10,2,2,8,4,1,1,3,1,1,3,5,4,2,2,2,2,4,4,4,4,1,
1,2,1,1,2,1,1,1,4,4,4,4,2,1,1,1,2,1],[1,7,8,12,2,3,4,2,4,6,6,8,4,4,12,1,2,2,2,
3,3,4,6,6,2,4,12,4,4,4,4,1,1,3,2,6,2,6,2,4,4,1,1,1,2,2,1],[1,7,20,3,4,10,6,8,
8,8,4,20,8,1,2,2,3,5,6,2,6,12,4,12,8,16,1,1,3,2,2,6,2,6,4,4,1,1,1,2,2,1],[1,7,
4,3,4,8,2,6,4,4,8,1,3,1,4,2,4,4,4,1,1,2,1,2,2,2,1,1,1,1],[1,7,8,4,3,4,4,4,2,2,
12,12,4,8,1,1,1,2,6,8,4,4,4,8,1,1,1,2,2,2,2,1,1,1,1],[1,15,4,8,4,1,15,20,3,4,
6,6,2,2,4,12,12,4,15,1,3,1,1,3,3,4,2,2,2,2,2,6,8,4,4,12,12,4,8,8,8,1,1,1,1,1,
1,1,3,1,1,3,6,2,6,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,7,12,3,4,6,10,
8,4,12,1,2,2,5,3,6,2,6,4,12,4,1,1,3,2,2,6,6,2,4,4,1,1,1,2,2,1],[1,7,4,8,12,1,
3,4,7,4,6,2,6,2,8,8,4,4,4,12,8,8,1,1,3,1,3,5,1,2,2,2,2,2,2,12,4,4,8,4,4,4,4,
12,8,8,8,8,1,1,1,1,1,1,1,3,3,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,1,1,1,1,2,
2,2,2,1],[1,7,8,8,4,2,3,4,2,4,12,4,2,2,4,4,4,8,1,2,2,1,1,2,4,2,2,2,2,2,4,4,4,
4,8,4,4,4,4,1,1,1,2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,1],[1,7,12,3,4,6,2,8,8,12,12,
1,1,3,6,4,4,12,8,1,1,2,1,2,2,2,1,1,1,1],[1,7,8,4,3,4,12,4,2,6,4,4,8,1,2,3,1,2,
2,2,2,2,2,4,4,8,4,4,4,1,1,1,2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,1],[1,7,8,8,4,3,4,4,
12,8,2,2,8,12,12,4,8,1,2,1,1,4,2,2,2,4,2,6,8,4,8,4,4,16,8,1,2,1,1,2,4,2,4,2,2,
2,4,4,1,1,2,1,2,1],[1,7,8,12,3,4,12,4,6,2,8,8,4,12,8,8,1,2,1,3,2,2,2,2,2,2,4,
4,8,4,4,12,8,16,1,1,1,2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,1],[1,7,8,4,2,3,4,2,4,2,2,
8,4,4,4,8,1,2,1,1,4,4,2,4,4,4,4,4,4,2,1,1,1,2,2,2,1,1,1,1],[1,15,8,4,15,20,12,
12,2,2,4,4,8,15,2,1,1,6,2,2,2,2,2,4,24,4,4,8,1,1,6,1,6,2,2,2,2,4,4,2,1,1,1,2,
1],[1,7,4,8,4,3,3,4,5,4,6,2,2,6,4,4,4,4,1,1,5,3,1,3,1,4,2,6,6,2,2,2,4,4,4,4,4,
4,4,4,4,4,4,8,1,1,1,1,3,3,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,1,1,1,1,
2,2,2,2,1],[1,7,12,3,4,8,6,2,8,8,4,12,1,1,3,4,2,4,4,12,8,1,1,2,1,2,2,2,1,1,1,
1],[1,15,4,15,20,2,2,4,4,8,15,1,1,2,4,4,4,8,1,1,1,2,2,2,2,1,1,1,1],[1,3,8,4,3,
1,3,8,2,2,8,8,1,1,3,3,1,1,3,2,6,8,2,2,2,2,2,2,2,4,2,2,1,1,3,3,1,1,1,1,1,2,1,1,
2,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,8,16,1,6,8,2,8,2,8,8,4,12,4,4,12,1,1,3,3,2,2,
3,2,1,2,1,2,14,2,2,2,2,2,4,12,8,8,1,3,3,2,1,1,1,2,1,2,2,2,2,2,2,2,2,1,1,1,1,1,
1,1,1],[1,3,8,8,8,1,2,4,8,2,4,2,4,4,4,4,4,8,4,4,12,8,1,1,1,1,2,2,3,2,2,1,2,1,
2,2,6,2,4,2,2,2,2,4,8,8,8,8,1,1,1,2,2,2,1,1,1,2,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,
1,1],[1,3,4,4,2,1,4,2,4,2,4,4,1,2,1,1,1,1,3,1,2,2,2,2,2,2,2,2,2,2,4,4,6,2,1,1,
1,2,1,2,1,1,2,2,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,4,8,1,1,5,2,4,4,2,4,4,
4,4,4,4,1,1,1,2,1,2,2,1,2,2,1,2,4,3,2,2,2,2,2,2,2,4,1,1,1,1,1,2,1,1,1,1,2,1,1,
2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,4,8,4,1,2,4,2,4,2,8,4,4,1,3,1,1,1,3,1,2,2,2,
2,2,2,2,2,2,2,4,4,6,2,1,1,1,2,1,2,2,1,1,2,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[
1,3,8,8,4,1,1,1,4,8,2,2,4,4,4,4,8,1,1,1,1,1,1,3,2,2,2,4,2,2,2,2,2,2,2,4,2,4,4,
4,4,2,2,8,1,1,1,1,1,2,2,1,1,1,1,2,1,1,2,2,2,2,4,2,2,2,2,2,2,2,2,4,2,1,1,1,1,1,
1,1,2,2,2,2,1],[1,3,4,8,16,1,1,1,4,2,4,8,2,8,8,4,4,4,12,8,4,4,4,8,1,1,3,1,2,2,
1,2,1,2,4,3,2,2,2,2,4,2,4,2,2,2,4,4,12,8,8,8,8,8,8,1,1,1,1,1,1,2,1,1,1,2,1,1,
2,2,2,2,4,2,2,4,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,7,8,4,2,3,4,6,4,4,
2,2,8,4,4,4,1,4,1,1,4,2,2,4,2,2,2,6,2,4,4,4,4,2,4,4,4,1,1,1,1,1,1,1,1,1,1,1,3,
1,1,2,1,1,2,3,1,1,2,1,1,1,3,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1],[1,7,4,16,4,1,3,4,
3,8,6,2,2,2,8,16,16,4,8,8,1,1,1,1,1,1,1,2,4,2,2,8,8,4,4,6,2,4,4,4,4,4,2,12,16,
4,8,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,2,4,1,1,1,2,1,3,1,1,4,4,4,4,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1],[1,3,6,5,8,3,1,3,4,3,6,3,4,1,1,2,3,3,4,1,3,1,1],[1,3,
18,5,8,1,9,9,3,18,24,9,4,1,1,2,3,3,4,3,3,6,1,1],[1,3,12,5,8,1,9,9,1,3,3,12,3,
4,1,1,2,3,3,4,1,3,1,1],[1,6,6,9,2,2,9,9,9,2,2,6,6,6,6,9,1,6,6,1,2,2,1,1,1,1],[
1,15,15,20,16,15,1,1],[1,7,12,16,3,4,6,6,8,12,16,1,2,2,3,3,6,6,12,4,8,3,6,6,4,
8,8,1,1],[1,15,12,16,15,20,18,18,16,15,3,9,36,8,12,1,9,9,12,3,1,1],[1,15,24,4,
3,15,20,9,12,36,36,4,12,12,15,9,9,12,18,24,36,1,4,12,12,1,3,3,18,18,1,3,3,4,3,
1,3,3,1],[1,15,8,4,1,15,20,3,4,12,12,12,8,15,3,3,4,6,8,12,1,4,4,4,1,1,1,6,6,3,
2,4,1,1,1,1,1],[1,3,4,12,16,1,6,6,6,8,8,12,16,1,3,3,12,12,4,8,8,1,3,3,4,1,1,
1],[1,3,12,12,16,1,6,6,6,8,8,12,12,12,16,3,3,3,6,6,6,12,24,4,8,8,1,3,3,6,6,4,
8,3,1,1],[1,3,24,16,1,12,6,8,8,12,12,12,16,3,3,6,3,6,6,12,24,4,8,8,1,3,3,6,6,
4,8,3,1,1],[1,3,4,16,3,1,3,6,6,16,1,3,3,6,6,4,1,3,3,4,1,1,1],[1,3,12,16,1,6,
12,16,3,3,3,6,6,6,4,1,3,3,4,3,1,1],[1,15,12,4,15,20,6,6,12,12,12,8,15,3,3,6,
12,24,1,4,4,4,1,3,3,6,6,3,2,4,3,1,1,1,1],[1,7,12,12,4,1,3,4,9,6,6,6,6,6,12,4,
8,8,1,3,3,6,3,3,12,6,6,12,1,4,4,4,1,3,3,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,7,20,12,
4,3,3,4,3,10,6,6,18,18,12,24,24,4,4,4,8,8,1,3,3,6,3,9,8,12,6,6,6,6,6,12,12,24,
1,4,4,4,8,8,1,3,3,3,3,3,3,12,12,1,1,1,2,2,4,3,1,1,1,2,2,1],[1,7,12,4,4,3,4,6,
6,6,6,6,6,4,4,4,1,6,3,3,6,3,3,6,6,6,1,4,4,4,1,3,3,3,3,3,3,1,1,1,4,3,1,1,1,1],[
1,15,12,16,15,20,6,6,12,12,16,15,3,3,6,12,24,8,12,1,3,3,6,6,4,8,3,1,1],[1,7,
20,4,3,4,6,10,6,6,18,18,4,8,8,1,3,3,3,9,8,12,12,12,1,4,4,4,1,3,3,3,3,3,3,1,2,
2,4,3,1,1,1,1],[1,3,12,16,1,6,6,6,16,3,3,3,6,6,6,4,1,3,3,4,3,1,1],[1,15,4,16,
15,20,6,6,16,15,1,3,12,8,12,1,3,3,4,1,1,1],[1,1,12,18,4,1,3,3,6,6,4,6,6,6,6,6,
6,4,8,8,1,3,3,3,3,3,6,3,6,12,12,1,4,4,4,1,3,3,3,3,3,3,1,4,2,2,3,1,1,1,1],[1,1,
6,12,4,1,3,3,6,6,4,4,4,1,3,3,3,3,3,6,3,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[
1,3,4,12,16,1,6,6,6,6,6,16,1,3,3,12,12,4,1,3,3,4,1,1,1],[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],[1,15,12,8,12,1,15,20,3,
4,18,18,6,6,8,12,12,12,12,24,15,3,2,2,3,3,3,3,9,4,6,6,6,6,6,6,6,6,6,6,6,6,8,
12,12,12,36,12,12,12,24,24,24,1,1,1,2,2,3,3,3,3,9,3,3,9,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,1,3,1,3,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,1,
1,1,3,3,3,3,1],[1,15,4,24,12,3,15,20,9,12,6,6,6,6,8,8,12,36,36,12,24,24,15,1,
9,3,3,9,3,12,6,6,6,6,6,18,24,12,12,12,36,12,12,12,12,12,12,12,12,12,24,24,24,
24,24,1,1,1,3,3,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,18,6,6,18,6,6,6,6,6,6,6,6,6,6,6,
6,6,12,12,12,12,12,12,24,24,1,1,1,3,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,1,3,3,3,3,3,3,6,6,1],[1,15,16,12,2,15,20,6,8,6,6,8,12,
24,24,12,8,8,8,15,2,2,6,3,3,6,8,6,6,6,12,16,4,4,12,4,24,4,4,4,4,4,8,24,8,16,1,
2,2,1,3,1,1,1,3,12,2,12,2,2,6,6,2,2,6,2,6,2,2,4,4,4,4,8,8,1,2,1,1,1,3,1,3,2,2,
2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,7,8,16,4,3,4,4,8,12,8,2,6,12,16,16,4,8,8,8,
8,1,2,3,1,2,4,2,2,2,6,2,8,8,4,4,4,8,4,8,4,4,8,8,4,8,16,8,8,16,1,1,2,1,2,1,1,1,
2,1,2,2,4,6,4,2,2,4,2,2,2,2,2,2,2,2,4,4,4,4,4,4,1,1,2,1,1,1,2,1,1,2,2,2,2,2,2,
2,2,2,2,1,1,1,1,1,1,1,1],[1,15,8,12,15,20,12,12,6,6,8,8,12,12,8,8,15,2,3,3,6,
2,2,2,6,2,4,4,12,24,12,4,4,12,24,16,1,1,1,2,3,3,3,6,3,6,6,2,6,2,6,2,2,4,4,4,4,
4,4,2,1,3,3,1,1,1,3,2,2,6,2,2,2,1,1,1,1,1,1,1,1],[1,7,8,16,12,2,3,4,2,8,12,8,
6,2,8,8,12,16,16,12,16,8,8,16,1,2,2,1,3,4,4,2,2,2,6,4,4,2,8,8,4,4,4,8,4,8,4,8,
4,4,4,8,4,12,8,16,8,16,16,16,1,1,2,1,2,1,2,1,1,1,2,2,2,2,6,2,2,4,2,4,2,2,4,2,
2,2,4,8,4,8,4,4,4,4,8,8,1,1,1,2,1,1,1,2,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,
1],[1,15,4,8,4,1,15,20,3,4,6,6,2,2,4,12,12,4,8,8,15,1,3,1,1,3,3,4,2,2,2,2,2,6,
8,4,4,4,4,4,12,4,12,4,8,8,8,1,1,1,1,1,1,1,3,1,1,3,6,2,6,2,2,2,2,2,2,2,2,2,2,2,
4,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,15,20,
15,20,10,10,8,8,8,20,20,8,15,2,2,5,5,6,10,6,4,20,4,12,12,40,16,1,1,1,2,3,5,3,
5,2,6,10,6,2,6,10,4,4,4,4,1,3,1,3,3,1,5,2,2,2,6,2,1,1,1,1,1,1,1,1],[1,15,8,16,
4,2,15,20,6,8,12,12,2,2,4,24,24,4,8,8,8,8,15,2,6,1,1,6,6,8,2,2,2,2,2,12,16,4,
4,4,24,4,4,4,24,4,4,4,4,4,8,8,8,16,1,2,2,1,1,1,1,6,1,1,6,12,2,12,2,2,2,2,2,2,
2,2,2,2,2,4,4,4,4,4,4,8,8,2,2,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,
1],[1,7,12,8,20,1,3,4,7,4,18,6,10,6,8,8,8,4,4,4,20,8,8,8,24,8,1,3,2,2,3,3,5,5,
3,6,6,6,6,2,6,6,6,6,6,6,2,4,20,12,4,8,4,4,12,12,12,4,12,12,8,8,8,8,16,16,16,
16,1,1,2,2,3,1,1,3,3,3,5,3,3,2,6,2,2,2,2,2,2,2,2,6,6,2,2,6,6,6,6,2,6,6,6,4,4,
4,4,12,4,4,4,12,12,4,4,12,4,4,12,4,12,1,1,1,1,1,1,1,1,3,3,1,2,2,2,2,2,6,2,2,2,
6,2,2,2,2,2,2,6,6,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,7,16,20,2,3,4,2,8,12,10,
6,8,8,8,4,16,16,20,16,8,16,1,2,2,2,3,5,6,4,6,2,6,4,4,8,8,4,12,8,4,4,8,4,4,4,8,
12,8,8,16,32,16,1,1,2,1,1,2,3,1,3,2,2,2,6,2,8,2,6,2,2,4,6,2,2,4,8,4,8,4,4,8,8,
1,1,1,2,1,3,3,1,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,7,4,8,12,1,3,4,7,4,6,10,
6,2,8,8,12,4,4,12,8,8,1,1,3,1,3,5,5,6,2,2,2,2,2,4,12,4,4,4,8,4,4,4,4,12,8,8,8,
8,1,1,1,1,1,2,1,1,3,2,3,1,1,2,4,2,2,2,2,2,6,2,2,2,2,2,4,4,4,4,4,4,1,2,1,1,1,1,
1,1,1,1,1,1,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,7,12,8,12,3,3,4,5,4,18,6,6,10,8,
4,4,4,12,24,1,3,2,2,5,5,3,3,3,4,6,6,6,6,2,10,10,6,6,6,6,2,4,12,4,12,4,4,4,12,
4,12,4,4,12,4,12,8,1,1,2,2,3,1,3,5,3,3,1,3,3,2,6,2,2,2,2,2,2,6,6,2,2,6,6,6,2,
6,2,6,6,6,2,4,4,4,12,4,12,12,4,4,4,4,12,4,4,4,4,12,12,1,1,1,1,1,1,3,3,1,1,1,2,
2,2,2,2,6,2,2,2,6,2,2,2,2,6,6,2,2,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,7,16,12,
3,4,4,8,12,6,10,8,4,16,16,12,8,8,8,1,2,2,5,3,2,6,6,2,6,8,8,4,4,12,4,8,4,8,8,8,
8,24,16,1,1,2,1,1,1,3,2,3,2,4,2,2,8,2,2,2,2,6,6,6,2,2,4,4,4,4,1,1,1,2,1,3,1,3,
2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,7,4,8,4,3,3,4,5,4,6,10,2,6,12,4,4,4,8,8,
1,1,5,3,1,3,5,4,6,6,6,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,8,1,1,1,2,1,3,3,1,2,1,1,
1,1,6,2,2,2,2,2,4,2,2,2,2,2,2,4,4,4,4,4,4,1,2,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,
2,1,1,1,1,1,1,1,1],[1,15,8,32,15,20,24,15,16,2,8,16,24,1,6,8,2,2,1],[1,3,18,
18,5,8,3,1,3,9,9,9,9,18,18,5,3,3,18,18,24,3,3,9,9,9,9,9,4,1,1,2,3,3,3,3,3,3,
18,6,9,4,8,1,1,3,3,3,3,3,3,3,3,6,1,4,3,3,1,1,1,1],[1,15,20,15,20,10,10,20,20,
16,15,5,5,10,20,40,16,1,5,5,10,10,5,1,1],[1,7,24,12,16,6,3,4,6,12,6,6,8,12,12,
12,16,16,16,1,2,2,6,3,3,12,6,6,6,12,12,12,12,12,12,4,8,16,3,3,3,6,6,6,6,6,12,
12,4,4,4,8,8,1,3,3,6,6,4,8,3,1,1],[1,7,8,12,16,3,4,4,12,6,6,8,12,12,12,16,32,
1,2,2,3,3,6,6,6,6,8,12,24,4,8,16,1,3,3,6,6,6,6,4,8,8,8,1,3,3,4,1,1,1],[1,7,24,
12,16,3,4,12,12,6,6,8,12,12,12,24,24,24,16,32,1,2,2,3,3,6,6,6,6,12,12,12,24,
24,48,4,8,16,3,3,3,6,6,6,6,6,12,12,4,8,8,8,16,1,3,3,6,6,4,8,3,1,1],[1,15,12,
64,15,20,6,6,8,8,12,12,15,3,3,6,12,12,12,24,32,48,32,32,1,1,1,2,3,3,3,3,6,6,6,
3,3,3,6,4,4,4,8,1,1],[1,15,12,16,15,20,6,6,8,12,12,48,15,2,2,3,3,6,6,6,12,24,
4,16,8,1,3,3,6,6,6,6,12,8,8,1,3,3,4,1,1,1],[1,7,12,12,16,1,3,4,3,18,6,6,6,8,
12,24,16,1,3,2,2,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,4,8,16,1,2,2,
3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,4,8,8,1,3,3,6,6,6,6,4,8,8,1,
1,1],[1,7,36,16,3,4,18,6,24,24,8,12,36,24,16,32,1,2,2,3,9,6,6,6,12,12,36,24,
48,4,8,16,3,3,3,6,6,6,6,6,12,12,4,8,8,8,16,1,3,3,6,6,4,8,3,1,1],[1,7,12,16,3,
4,6,18,8,12,12,16,1,2,2,9,3,6,6,6,12,12,12,4,8,16,3,3,3,6,6,6,6,6,12,12,4,8,8,
1,3,3,6,6,4,8,3,1,1],[1,3,16,24,16,1,6,12,6,12,6,8,8,12,12,12,12,36,16,16,16,
1,3,3,3,6,6,9,6,3,6,3,6,18,6,6,6,6,6,12,12,24,24,4,8,8,16,1,3,3,6,3,3,3,6,3,6,
6,6,6,6,6,6,6,4,4,4,8,8,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,15,32,12,4,4,15,20,12,
16,6,6,12,48,48,12,24,24,4,12,12,8,8,15,12,3,3,12,16,6,24,32,12,12,48,12,12,
12,12,12,24,24,24,1,4,4,4,4,12,4,12,8,8,1,4,4,3,3,3,3,3,3,24,6,24,6,6,6,6,6,6,
6,24,24,1,3,3,4,2,2,4,4,4,4,4,4,4,3,3,3,6,6,6,6,6,1,1,3,1,1,3,1,2,2,4,3,1,1,1,
1,1,1,1,1],[1,15,16,12,16,15,20,24,24,6,6,12,12,24,16,16,16,15,4,3,3,12,6,6,6,
6,6,12,48,12,12,24,8,12,16,1,3,12,3,12,6,6,6,6,12,12,12,4,4,8,4,3,3,3,6,1,4,3,
1,1,1,1],[1,3,16,12,16,3,1,3,12,6,6,12,24,16,16,16,1,3,3,3,3,3,9,6,6,12,6,6,6,
6,6,6,6,12,6,6,4,16,1,3,3,3,3,3,3,3,3,6,3,3,6,6,6,6,6,4,4,4,1,3,3,3,3,3,3,1,4,
3,1,1,1,1],[1,15,12,24,20,3,15,20,9,12,18,18,10,10,8,8,8,20,36,36,20,24,8,8,
24,24,15,3,2,2,9,5,5,9,9,12,6,6,6,6,10,10,10,6,10,10,6,18,24,4,4,20,4,20,12,
36,4,12,12,36,12,12,12,12,20,12,12,12,24,40,40,24,40,16,16,16,16,1,1,1,3,3,2,
2,2,5,3,3,5,3,3,5,5,3,9,5,3,5,9,18,10,6,6,18,2,10,10,6,6,10,10,2,10,10,6,6,6,
2,6,6,6,6,6,10,6,6,6,6,6,2,4,4,4,4,4,4,12,12,4,4,12,12,20,12,4,4,4,4,4,4,12,4,
4,4,4,12,4,20,4,12,24,24,1,1,3,1,3,2,5,3,3,1,3,3,3,1,3,3,3,5,3,3,3,1,3,5,5,3,
1,5,2,2,10,6,2,2,2,2,6,6,6,2,6,2,6,6,6,6,2,6,2,2,2,2,6,6,2,2,6,10,10,2,6,2,6,
6,10,2,6,6,2,2,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,1,3,3,1,1,1,1,1,1,3,3,1,1,1,1,5,
1,3,1,1,1,3,1,1,3,3,1,1,2,2,2,2,2,2,2,2,6,6,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[
1,15,36,8,32,15,20,18,18,36,36,24,48,96,15,9,9,18,36,72,16,2,8,16,24,24,24,1,
9,9,18,18,16,6,12,24,24,48,9,8,2,2,6,6,8,6,6,1,1],[1,15,24,8,32,3,15,20,9,12,
36,36,4,24,12,24,15,9,9,12,18,24,36,16,2,8,16,12,24,12,12,12,1,3,3,18,18,16,1,
6,3,4,6,12,3,8,2,2,3,3,3,3,4,4,1,3,1,1],[1,15,12,8,32,15,20,18,18,24,16,48,15,
3,9,36,16,2,8,16,24,1,9,9,16,6,12,12,3,8,2,2,1,3,1,1],[1,15,20,15,20,10,10,20,
20,40,16,15,5,5,10,20,20,20,40,16,1,5,5,10,10,10,10,16,5,5,5,5,1,1,1],[1,45,
20,20,15,15,45,36,60,60,45,10,36,15,15,10,15,15,10,6,6,1],[1,15,4,24,12,64,3,
15,20,9,12,6,6,6,6,8,8,12,36,36,12,24,24,64,15,1,9,3,3,9,3,12,6,6,6,6,6,18,24,
12,12,12,36,12,12,12,12,12,12,12,12,12,24,24,24,24,24,32,48,32,32,1,1,1,3,3,2,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,18,6,6,18,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,
12,12,24,24,16,1,1,1,3,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,4,4,4,8,1,3,3,3,3,3,3,6,6,4,4,4,8,1,1,1],[1,15,12,8,12,16,1,15,20,
3,4,18,18,6,6,8,12,12,12,12,24,48,32,15,3,2,2,3,3,3,3,9,4,6,6,6,6,6,6,6,6,6,6,
6,6,8,12,12,12,36,12,12,12,24,24,24,4,16,8,16,16,1,1,1,2,2,3,3,3,3,9,3,3,9,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,8,8,8,16,1,3,1,3,3,
3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,4,4,4,8,8,1,1,1,3,3,3,3,1,4,1,1,1,1,1],[1,7,32,
36,16,6,3,4,6,16,12,18,6,24,24,8,12,24,24,36,48,24,48,16,16,16,32,32,1,2,2,6,
3,9,6,12,6,6,6,12,12,12,8,12,12,24,12,12,24,12,12,12,24,36,24,24,48,48,48,4,8,
16,16,16,32,32,3,1,6,3,3,6,3,3,3,6,6,6,6,6,12,6,6,6,6,12,6,6,6,12,24,12,24,12,
12,24,24,4,4,4,8,8,8,8,16,16,1,3,3,6,3,3,3,3,6,6,6,6,6,6,6,6,6,4,4,4,8,8,8,8,
1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,7,32,12,16,3,4,12,16,12,6,18,8,12,24,24,12,24,
24,24,16,32,32,1,2,2,9,3,6,6,6,6,6,12,8,12,12,12,12,24,12,24,24,24,24,24,48,4,
8,16,16,16,3,1,6,3,3,3,3,6,3,6,12,6,6,12,6,6,6,6,6,6,6,6,6,12,12,12,12,4,8,8,
8,8,16,16,1,3,3,6,3,3,3,3,6,6,6,6,6,6,6,6,6,4,4,4,8,8,1,3,3,3,3,3,3,1,4,3,1,1,
1,1],[1,15,36,64,15,20,18,18,8,8,24,36,36,24,64,15,6,6,9,9,18,18,18,12,36,12,
12,12,72,48,32,48,32,32,1,1,1,2,3,9,3,9,6,6,18,18,6,18,18,12,12,12,12,16,32,
32,3,3,3,3,9,3,9,6,6,6,6,6,4,4,4,8,3,1,3,3,3,3,3,4,4,4,3,1,1],[1,15,24,12,64,
15,20,36,36,6,6,8,8,12,12,24,24,64,15,6,3,3,18,6,6,6,6,6,12,12,12,72,12,12,12,
12,24,48,32,48,32,32,1,1,1,2,3,3,3,18,3,18,6,6,6,6,6,6,6,12,12,12,12,12,12,48,
32,6,3,3,3,3,3,3,3,6,6,6,6,6,6,4,4,4,8,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,15,48,12,
16,6,15,20,18,24,6,6,8,12,72,72,12,24,24,24,16,48,48,15,2,2,18,3,3,18,24,6,6,
6,36,48,12,12,12,12,72,12,12,12,12,12,24,24,24,48,4,16,8,48,48,1,6,6,3,3,3,3,
3,3,36,6,36,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,24,24,4,12,12,16,8,8,16,1,6,3,3,
3,3,3,3,6,6,6,6,6,6,6,6,6,4,12,12,8,8,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,15,36,
16,15,20,18,18,24,24,8,36,36,24,48,32,15,2,2,9,9,6,18,6,12,36,12,36,36,72,48,
4,16,8,16,16,1,3,3,6,9,9,9,9,6,18,18,6,6,6,18,12,12,12,12,12,8,8,8,16,16,1,9,
3,9,3,3,9,6,6,6,18,6,4,4,4,8,8,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,7,12,24,36,16,
1,3,4,15,12,18,6,18,6,24,24,8,12,12,12,36,24,24,24,24,24,16,32,32,1,3,2,2,3,3,
9,9,3,6,6,6,6,6,6,6,6,6,6,6,6,12,36,12,12,24,12,12,12,12,12,12,12,36,24,24,24,
24,48,48,48,48,4,8,16,16,16,3,1,2,2,3,3,3,3,3,9,9,3,3,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,4,8,
8,8,8,16,16,16,1,3,3,3,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,
12,12,12,4,4,4,8,8,8,8,1,3,3,3,3,3,3,6,6,6,6,1,4,8,3,1,1,1,1],[1,7,12,24,12,
16,7,3,4,9,12,18,6,6,18,8,12,12,12,12,24,16,16,16,1,3,2,2,9,9,3,3,3,12,6,6,6,
6,6,18,18,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,4,8,16,16,
16,3,1,2,2,3,3,9,9,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,4,4,4,8,8,16,1,3,3,3,3,3,3,
3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,4,4,4,8,8,8,8,1,3,3,3,
3,3,3,6,6,6,6,1,4,8,3,1,1,1,1],[1,15,48,36,8,32,6,15,20,18,24,18,18,36,72,72,
36,72,72,8,24,24,48,48,96,15,18,9,9,18,24,18,36,48,36,36,72,36,36,36,36,36,72,
72,72,16,2,8,16,24,24,24,24,24,24,24,48,48,1,6,6,9,9,9,9,9,9,36,18,36,18,18,
18,18,18,18,18,72,72,16,32,2,6,6,8,12,12,24,24,24,24,24,24,24,48,6,9,9,9,18,
18,18,18,18,8,16,2,2,6,6,6,6,6,6,12,12,24,9,8,8,8,2,6,6,6,6,6,6,6,1,8,6,1,2,
1],[1,15,24,36,8,32,15,20,36,36,18,18,36,36,72,24,32,48,96,96,15,6,9,9,18,18,
18,18,18,18,36,72,36,36,72,16,2,8,16,24,24,24,96,1,9,18,9,18,18,18,18,18,36,
36,16,32,6,12,24,24,24,24,48,6,9,9,9,18,8,16,2,2,6,6,24,9,8,2,6,6,6,1,6,1,2,
1],[1,15,36,8,32,15,20,18,18,36,36,72,24,48,96,15,9,9,18,36,36,36,72,16,2,8,
16,24,24,24,1,9,9,18,18,18,18,16,6,12,24,24,48,9,9,9,8,16,2,2,6,6,9,8,6,6,1,1,
1],[1,15,28,24,36,64,3,15,20,9,12,42,42,18,18,8,8,24,36,36,36,36,24,24,24,72,
24,64,64,64,15,7,6,6,9,9,9,9,21,12,18,18,18,18,18,18,18,18,18,18,18,18,24,12,
12,36,12,36,12,36,12,12,12,84,12,36,12,12,36,12,36,12,24,72,72,24,72,48,48,48,
48,32,48,32,32,64,1,1,1,3,3,2,6,6,9,3,3,9,3,3,9,9,3,21,9,3,9,21,18,18,18,6,18,
6,18,18,6,6,18,18,6,18,18,18,18,6,6,6,18,6,18,18,18,18,6,18,18,18,6,12,12,12,
12,12,12,12,36,12,12,12,12,36,36,12,12,12,12,12,12,36,12,12,12,12,12,12,36,12,
36,24,24,48,16,16,32,32,32,3,1,7,1,3,2,9,3,3,3,3,3,3,3,3,3,3,9,9,9,9,3,3,9,9,
3,3,9,6,6,18,6,6,6,6,6,6,6,6,6,6,6,18,6,6,6,6,18,6,6,6,6,6,18,6,6,6,18,18,6,6,
6,6,6,18,6,18,18,6,6,12,12,12,12,12,12,12,12,4,4,4,8,16,3,3,3,1,3,3,3,3,3,3,3,
3,3,3,3,3,3,9,3,3,3,3,9,3,3,3,3,3,9,3,3,9,3,3,3,6,6,6,6,6,6,6,6,6,6,4,4,4,4,4,
4,4,4,4,8,3,1,3,3,3,3,3,3,3,3,3,3,3,3,3,1,4,4,4,3,1,1,1,1],[1,15,12,56,36,16,
7,15,20,21,28,18,18,18,18,24,24,8,36,84,84,36,72,24,24,24,72,16,48,48,32,32,
15,3,2,2,21,9,9,21,9,28,6,6,6,6,18,18,18,6,18,18,6,42,56,12,12,36,12,36,36,84,
12,36,36,36,36,12,36,36,36,36,12,36,72,72,72,72,72,48,48,48,48,4,16,8,16,16,
16,48,16,48,32,32,1,3,3,7,7,6,2,2,9,9,9,9,9,9,9,9,9,9,9,9,9,9,42,18,6,18,42,6,
18,18,18,18,18,18,6,18,18,6,6,18,6,18,6,18,6,6,18,6,18,6,6,6,6,12,12,12,12,12,
12,36,12,12,12,36,36,36,12,12,12,12,12,12,12,12,12,12,12,12,36,12,36,12,12,72,
72,4,12,12,16,8,8,8,8,16,16,16,16,16,16,16,16,1,3,3,3,7,6,9,9,9,3,9,9,9,3,9,9,
9,9,3,3,3,3,9,9,9,9,3,9,6,6,18,18,6,6,6,6,18,18,18,6,18,6,6,18,18,18,6,6,6,6,
6,6,18,6,6,6,18,18,18,6,18,6,18,18,18,6,6,6,6,6,12,12,12,12,12,12,12,12,4,4,
12,4,4,12,4,8,8,8,8,8,8,8,8,16,1,1,1,3,3,3,3,3,9,9,3,3,3,3,3,3,9,3,3,3,3,3,9,
3,9,3,3,3,3,3,3,3,9,3,3,6,6,6,6,6,6,6,6,18,18,1,4,4,4,4,4,4,4,8,8,1,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,1,1,1,1,1,1,1,4,3,1,1,1,1,1,1,1,1],[1,15,60,40,15,20,30,30,
40,60,60,96,120,80,15,10,10,15,15,30,30,30,60,120,96,10,40,40,40,40,1,15,15,
30,30,30,30,30,40,20,40,40,5,15,15,10,10,10,16,5,6,5,10,6,5,1],[1,15,60,160,
15,20,30,30,40,40,60,60,96,160,15,15,15,30,60,60,60,120,96,80,120,160,160,1,5,
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],[1,15,24,48,36,8,32,6,15,20,18,24,36,36,18,18,36,72,72,36,72,72,72,72,8,24,
24,32,48,48,96,96,15,6,18,9,9,18,18,24,18,18,18,18,18,36,48,36,36,36,72,36,36,
36,72,36,36,36,36,36,72,72,72,144,16,2,8,16,24,24,24,24,24,24,24,48,48,96,1,6,
6,9,9,9,9,18,9,9,18,36,18,36,18,18,18,18,18,18,18,18,18,18,18,36,36,36,36,36,
36,72,72,16,32,32,2,6,6,8,12,12,24,24,24,24,24,24,24,24,24,48,6,6,9,9,9,9,9,9,
9,18,18,18,18,18,18,18,18,18,18,8,16,16,16,2,2,6,6,6,6,6,6,12,12,24,24,9,9,9,
9,9,9,9,8,8,8,16,2,2,6,6,6,6,6,6,6,6,9,1,8,6,6,1,2,2,1,1,1,1],[1,15,80,60,40,
10,15,20,30,40,30,30,40,60,120,120,60,120,120,120,96,40,120,120,80,80,15,10,
10,30,15,15,30,40,30,30,30,60,80,60,60,60,60,120,60,60,60,60,60,120,120,120,
240,96,10,40,40,40,40,40,120,40,120,80,80,1,10,10,15,15,15,15,15,15,60,30,60,
30,30,30,30,30,30,30,30,30,30,30,60,60,60,60,120,120,96,10,30,30,40,40,20,20,
40,40,40,40,40,40,40,80,5,10,15,15,15,15,15,15,30,30,30,30,30,30,30,30,30,10,
10,30,10,10,30,10,20,40,20,40,40,16,5,15,15,15,15,15,15,6,5,10,10,10,10,10,10,
10,16,15,6,5,5,5,10,6,5,1,1],[1,15,40,60,160,15,20,60,60,30,30,40,40,60,60,
120,120,96,160,160,160,15,10,15,15,30,30,30,30,30,30,60,60,60,120,60,60,60,60,
120,240,96,80,120,160,160,160,1,5,5,10,15,15,15,30,15,30,30,30,30,30,30,30,30,
60,60,60,60,60,60,96,120,40,40,80,160,10,15,15,15,15,15,15,15,30,30,30,30,30,
30,10,20,20,40,40,16,16,32,5,15,15,15,15,15,15,6,10,20,10,20,10,16,16,15,6,5,
10,6,5,1,1],[1,15,180,80,320,15,20,90,90,120,120,120,180,180,360,576,240,480,
960,15,30,30,45,45,90,90,90,180,180,180,180,180,360,720,160,576,20,80,120,160,
240,240,240,480,480,1,15,15,30,45,45,45,45,90,90,90,90,90,90,90,180,180,180,
180,160,60,120,120,120,240,240,240,480,480,15,45,45,45,45,45,45,90,90,90,90,
90,80,160,20,20,60,60,60,60,120,120,120,96,96,96,192,15,15,45,45,45,45,45,80,
36,15,60,60,60,60,45,10,36,15,15,15,15,10,32,15,15,10,6,6,1],[1,15,60,120,180,
80,320,15,15,20,45,60,90,90,90,90,120,120,120,180,180,180,180,360,360,360,360,
360,576,80,240,240,320,480,480,960,960,15,15,30,30,45,45,45,45,45,60,90,90,90,
90,90,90,90,90,90,90,90,90,120,180,180,180,180,180,180,180,180,180,180,180,
180,180,180,180,180,180,180,180,360,360,360,360,360,720,720,720,720,160,576,
20,80,120,160,240,240,240,240,240,240,240,480,480,480,480,960,1,15,15,15,15,
30,30,30,45,45,45,45,45,45,45,45,45,45,45,45,45,45,90,90,90,90,90,90,90,90,90,
90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,180,180,180,
180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,
180,180,180,180,180,180,180,180,360,360,160,320,320,576,20,60,60,80,120,120,
120,120,240,240,240,240,240,240,240,240,240,240,240,480,480,480,15,15,15,15,
15,30,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,90,90,
90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,
90,90,90,90,90,90,90,90,90,90,90,90,90,90,180,180,180,180,180,180,180,180,80,
160,160,160,20,20,60,60,60,60,60,60,60,60,120,120,120,120,120,120,120,120,120,
240,240,96,96,96,192,15,15,15,15,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,
45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,90,90,90,90,90,90,90,90,90,90,
80,80,80,160,36,15,20,20,60,60,60,60,60,60,60,60,60,60,60,60,60,60,120,120,
120,96,96,96,15,15,45,45,45,45,45,45,45,45,45,45,45,45,45,10,80,36,15,15,15,
15,15,15,15,15,60,60,60,60,45,10,20,20,36,32,15,15,15,15,15,15,15,15,15,15,10,
10,10,15,15,6,6,10,6,6,1,1]],
[1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,5,6,6,6,6,6,6,6,6,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,9,10,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,18,18,18,20,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,36,36,36,36,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,
48,48,48,48,48,60,60,60,60,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,72,72,72,72,80,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,
96,120,120,120,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
144,144,160,192,192,192,192,192,192,192,192,192,192,192,192,256,288,288,288,
320,360,384,384,384,384,384,384,384,384,384,384,576,576,576,768,768,960,960,
1152,1920,1920,5760,11520],
[455,448,427,386,367,414,298,448,447,444,428,425,410,407,407,410,381,380,392,
369,333,369,333,257,295,295,293,268,195,414,320,320,298,206,206,106,106,448,
447,442,443,428,428,428,428,428,425,410,410,410,407,399,410,410,407,407,407,
407,399,386,367,366,325,366,325,367,334,367,333,369,325,366,325,369,366,325,
333,325,367,256,243,256,256,229,162,168,161,181,373,195,444,414,392,371,320,
320,319,320,320,320,320,206,217,216,206,106,455,447,447,448,448,434,443,442,
428,428,428,428,428,428,428,428,428,428,428,428,428,428,399,399,407,399,399,
410,399,399,399,399,399,399,407,399,399,407,407,399,407,399,410,399,410,410,
399,410,399,407,407,410,410,366,367,367,366,367,366,367,325,367,367,366,367,
325,325,366,366,366,366,367,367,325,367,367,366,366,366,366,325,367,325,256,
256,373,299,298,195,444,425,425,414,392,386,386,393,320,320,320,319,320,320,
320,311,319,319,316,215,216,217,448,447,447,447,448,434,428,428,428,428,428,
428,428,428,428,428,428,428,428,428,428,428,428,428,428,428,428,428,410,407,
399,399,407,410,410,407,399,399,399,407,399,410,407,399,399,399,410,398,410,
407,407,407,399,407,407,410,399,399,399,407,399,407,399,399,399,410,410,410,
410,410,366,367,366,366,366,367,367,367,414,373,373,373,445,444,425,425,424,
425,427,425,425,425,386,392,386,392,393,393,392,393,394,319,320,395,397,396,
324,448,448,448,447,428,428,428,428,428,428,428,428,428,428,428,428,428,428,
428,428,428,428,428,428,428,428,428,428,428,428,428,428,428,428,428,410,407,
407,410,407,410,410,407,399,399,414,414,414,373,432,448,445,444,425,424,424,
424,427,427,425,425,425,425,426,425,427,426,392,393,394,395,396,397,448,447,
428,428,428,428,428,428,428,428,428,428,428,428,428,451,414,432,448,448,448,
447,448,448,448,448,424,425,426,427,428,451,444,445,432,433,447,448,448,448,
447,447,448,448,448,448,451,451,451,447,448,452,453,451,452,453,455,455],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,6,1,6,7,1,6,1,7,1,
1,1,2,1,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,2,1,2,1,2,1,2,1,2,2,1,1,2,2,2,
2,1,2,2,2,1,2,5,5,5,5,1,29,10,1,19,10,6,1,9,6,6,1,6,6,18,17,6,7,1,1,1,1,1,1,2,
1,2,1,2,2,2,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,2,2,2,2,2,1,2,2,2,2,2,2,
2,2,2,2,1,2,2,16,5,5,16,2,16,2,2,5,1,2,2,2,2,16,16,16,16,5,5,2,5,5,2,1,2,16,2,
5,2,2,2,89,6,7,29,91,10,91,6,19,10,91,41,31,2,6,97,6,31,31,93,9,97,93,94,104,
103,2,9,9,1,2,9,2,9,9,9,9,2,9,9,9,9,9,2,9,2,9,9,2,9,9,2,9,9,16,15,9,9,15,16,
16,15,9,2,2,15,2,16,2,9,2,9,16,9,2,9,15,2,9,2,15,16,9,9,9,15,9,15,9,9,9,16,2,
2,16,9,16,15,16,16,16,15,15,15,10,89,89,89,107,10,91,91,108,10,109,10,91,91,
91,93,91,19,203,41,93,203,112,97,31,321,322,323,324,2,38,38,9,43,38,9,44,9,9,
43,44,44,38,44,9,9,9,43,44,43,38,9,43,9,43,44,43,38,44,43,38,9,44,38,16,44,44,
43,15,43,16,15,9,9,91,296,92,192,107,218,300,91,38,108,304,304,109,306,197,
197,91,91,300,197,306,107,200,203,112,321,323,322,38,9,127,127,127,127,38,127,
127,44,127,44,43,127,43,107,296,374,375,218,375,328,218,218,375,375,304,197,
300,306,127,413,301,300,374,433,328,218,375,375,419,419,375,375,375,375,413,
413,413,419,375,449,450,429,449,450,454,454],
[(  1, 38, 31, 63)(  2, 82,  4, 13)(  3, 91, 77,  7)(  5, 90, 53, 84)(  6, 69)
(  8,111, 52, 92)(  9, 50, 29, 87)( 10, 78, 39, 58)( 11, 12)( 14, 35)
( 15, 28,102, 23)( 16, 72, 30, 93)( 17, 89,101, 66)( 18, 21, 44, 36)
( 19, 71, 59, 75)( 20, 56, 55, 27)( 22,100, 74, 43)( 24, 51, 37, 80)
( 25,108,106, 45)( 26, 85,105, 33)( 32, 99)( 34, 68, 49, 65)( 40, 76, 64, 73)
( 41, 54,107, 61)( 42, 79, 48, 95)( 46, 88, 62, 60)( 47, 57,110, 67)( 70, 98)
( 81,109, 97,103)( 83, 94)( 86,104)( 96,112),(  1, 46, 42, 76, 59)
(  2, 68, 77,107, 81)(  3, 82, 97, 61, 65)(  4, 16,  5, 13, 57)
(  6, 96, 64,109, 38)(  7,104, 22, 11, 72)(  8, 18, 66, 33, 25)
(  9,100, 23, 79, 48)( 10, 45, 36, 39, 92)( 12, 71, 70, 34, 91)
( 14, 75, 86, 93, 90)( 15, 32, 94, 87,103)( 17, 80, 51, 26,111)
( 19, 31, 95, 60, 73)( 21,101,105,108, 55)( 24, 27, 37,106, 44)
( 28, 62, 88, 29, 43)( 30, 53, 41, 67, 54)( 35, 49, 84, 98, 74)
( 40, 47,102, 83, 69)( 50,110, 63,112, 99)( 56, 89, 58, 78, 85)],
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2,-2,1,1]],[[2,2,1,1,2,-1,1,1]],[[1,-2]]],[[[1,1,2,1],[3,1,1,1,3,-1]],[[1,-1,
2,-1,1,1,2,2]],[[1,-2,2,-1,1,1,2,1]]],[[[2,1,1,1,2,-1,1,1,2,2]],[[1,1,2,-2,1,
-1,2,1]],[[2,2,1,-1,2,-2]]],[[[2,1,1,1],[3,2,2,-1]],[[1,1,2,1,1,1,2,1]],[[1,
-2]]],[[[1,-1,2,2,1,-1,2,-2]],[[2,1,1,-1,2,-1,1,-1]],[[1,1,2,-2,1,1,2,2]],[[1,
-2]]],[[[2,1,1,1,2,-2]],[[1,1]]],[[[1,1,2,1,1,1,2,1]],[[1,1,2,-2]],[[1,
-2]]],[[[1,-1,2,-2,1,1,2,2]],[[2,1,1,-1,2,1,1,-1,2,-2]],[[1,-1]]],[[[1,1,2,1,
1,1]],[[2,1]]],[[[1,1]],[[2,1]]]]);


LIBTOM( "2^4:S5",
[[1],[1,2],[1,3],[1,4],[1,5],[1,6],[1,7],[1,2,3,8],[1,3,4,9],[1,3,10],[1,3,
11],[1,2,3,12],[1,3,5,13],[1,3,14],[1,2,15],[1,2,6,16],[1,6,17],[1,3,6,18],[1,
3,4,5,19],[1,5,6,20],[1,2,4,5,21],[1,3,5,22],[1,2,5,23],[1,3,24],[1,4,6,25],[
1,6,26],[1,4,5,6,27],[1,28],[1,4,7,29],[1,3,7,30],[1,5,7,31],[1,4,7,32],[1,6,
7,33],[1,2,7,34],[1,5,7,35],[1,2,3,10,12,36],[1,2,6,16,17,37],[1,2,15,38],[1,
2,3,4,8,9,11,39],[1,2,3,8,10,12,40],[1,2,3,12,15,41],[1,2,3,6,12,16,18,42],[1,
3,4,5,10,19,22,43],[1,3,4,9,10,14,44],[1,2,6,15,16,45],[1,3,5,10,11,13,46],[1,
2,3,11,12,14,47],[1,2,3,5,12,13,22,23,48],[1,2,3,12,14,49],[1,2,3,4,5,9,12,13,
19,21,50],[1,2,6,15,16,51],[1,2,3,12,24,52],[1,2,3,5,8,13,14,53],[1,3,4,5,6,
13,18,19,20,27,54],[1,2,3,6,12,15,16,55],[1,3,5,13,22,24,56],[1,3,5,10,13,14,
57],[1,3,5,6,11,18,22,58],[1,2,5,15,23,59],[1,3,6,10,18,24,60],[1,3,4,5,11,19,
24,61],[1,2,6,16,26,62],[1,3,5,6,14,18,22,63],[1,2,3,4,5,8,19,21,22,23,64],[1,
2,3,6,8,18,24,65],[1,3,4,5,14,19,24,66],[1,3,4,5,9,22,24,67],[1,3,4,5,6,9,18,
19,25,27,68],[1,2,15,69],[1,2,4,5,6,16,20,21,25,27,70],[1,4,6,17,25,26,71],[1,
5,6,17,20,26,72],[1,6,28,73],[1,3,7,10,74],[1,2,3,7,8,30,34,75],[1,3,7,11,30,
76],[1,3,4,5,7,19,29,30,31,77],[1,3,4,7,9,30,32,78],[1,3,5,7,22,30,35,79],[1,
3,7,24,30,80],[1,3,6,7,18,30,33,81],[1,6,7,17,82],[1,4,5,6,7,27,31,32,33,83],[
1,2,4,5,7,21,29,34,35,84],[1,2,5,7,23,31,34,35,85],[1,4,6,7,25,29,32,33,86],[
1,2,3,8,10,12,36,40,87],[1,2,3,4,5,8,9,10,12,13,19,21,22,23,40,43,48,50,64,
88],[1,2,3,8,10,11,12,14,40,47,49,89],[1,2,3,6,10,12,15,16,18,36,41,42,55,
90],[1,2,3,6,12,14,16,18,42,49,91],[1,2,3,5,12,13,15,22,23,41,48,59,92],[1,2,
3,4,5,6,9,12,13,16,18,19,20,21,25,27,42,50,54,68,70,93],[1,2,3,10,12,24,36,52,
94],[1,2,3,11,12,14,15,41,47,95],[1,2,3,4,5,9,10,12,13,14,19,21,36,44,49,50,
57,96],[1,2,3,5,10,11,12,13,14,22,23,36,46,47,48,57,97],[1,2,3,4,5,9,12,13,14,
15,19,21,41,49,50,98],[1,2,3,5,12,13,14,22,23,24,48,49,52,99],[1,2,3,11,12,14,
24,47,49,52,100],[1,2,3,5,8,10,12,13,14,22,23,40,48,49,53,57,101],[1,2,3,6,8,
10,12,16,18,24,40,42,52,60,65,102],[1,2,3,4,5,8,9,10,11,12,13,14,19,21,39,40,
44,46,47,50,53,103],[1,2,3,4,5,9,12,13,19,21,22,23,24,48,50,52,56,67,104],[1,
2,3,6,12,16,18,26,42,62,105],[1,2,3,12,15,41,69,106],[1,2,3,4,5,9,11,12,13,14,
19,21,24,47,50,52,61,66,107],[1,2,3,5,6,11,12,13,14,16,18,22,23,42,47,48,58,
63,108],[1,2,3,6,12,15,16,17,18,37,42,45,51,55,109],[1,2,3,8,10,12,15,24,40,
41,52,110],[1,2,3,6,12,15,16,38,41,45,51,55,111],[1,2,4,5,6,15,16,20,21,25,26,
27,51,62,70,112],[1,2,3,4,5,6,8,9,11,18,19,21,22,23,24,25,27,39,58,61,64,65,
67,68,113],[1,3,4,5,6,9,10,14,18,19,22,24,25,27,43,44,60,63,66,67,68,114],[1,
2,4,5,6,16,17,20,21,25,26,27,37,62,70,71,72,115],[1,2,3,4,5,6,8,13,14,18,19,
20,21,22,23,24,27,53,54,56,63,64,65,66,116],[1,3,4,5,6,10,11,13,18,19,20,22,
24,27,43,46,54,56,58,60,61,117],[1,2,5,15,23,38,59,69,118],[1,2,5,6,15,16,23,
45,59,69,119],[1,6,26,28,73,120],[1,3,5,7,10,11,13,31,46,74,121],[1,2,3,7,8,
10,12,30,40,74,122],[1,3,4,7,9,10,14,29,44,74,123],[1,3,4,5,7,10,19,22,32,43,
74,124],[1,2,3,7,10,12,34,36,74,125],[1,3,5,7,10,13,14,35,57,74,126],[1,3,6,7,
10,18,24,33,60,74,127],[1,3,4,5,7,9,22,24,30,32,35,67,78,79,80,128],[1,3,4,5,
6,7,9,18,19,25,27,29,30,31,32,33,68,77,78,81,83,86,129],[1,3,5,6,7,11,18,22,
30,33,35,58,76,79,81,130],[1,2,3,4,7,8,9,11,30,32,34,39,75,76,78,131],[1,2,3,
4,5,7,8,19,21,22,23,29,30,31,34,35,64,75,77,79,84,85,132],[1,2,6,7,16,17,34,
37,82,133],[1,3,4,5,7,11,19,24,29,30,31,61,76,77,80,134],[1,2,3,6,7,8,18,24,
30,33,34,65,75,80,81,135],[1,2,7,15,34,38,136],[1,4,6,7,17,25,26,29,71,82,
137],[1,5,6,7,17,20,26,35,72,82,138],[1,2,3,6,10,12,15,16,17,18,36,37,38,41,
42,45,51,55,90,109,111,139],[1,2,3,4,5,8,9,10,11,12,13,14,19,21,22,23,36,39,
40,43,44,46,47,48,49,50,53,57,64,87,88,89,96,97,101,103,140],[1,2,3,4,5,6,9,
10,12,13,14,15,16,18,19,20,21,25,27,36,41,42,44,49,50,54,55,57,68,70,90,91,93,
96,98,141],[1,2,3,6,10,12,15,16,18,24,36,41,42,52,55,90,94,142],[1,2,3,5,6,10,
11,12,13,14,15,16,18,22,23,36,41,42,46,47,48,55,57,58,59,63,90,92,95,97,108,
143],[1,2,3,6,8,10,12,15,16,18,24,36,40,41,42,52,55,60,65,87,90,94,102,110,
144],[1,2,3,6,10,12,15,16,18,26,36,41,42,55,62,90,105,145],[1,2,3,6,10,12,15,
16,18,36,41,42,55,69,90,106,146],[1,2,3,4,5,9,10,11,12,13,14,19,21,22,23,24,
36,44,46,47,48,49,50,52,56,57,61,66,67,94,96,97,99,100,104,107,147],[1,2,3,4,
5,6,9,12,13,15,16,17,18,19,20,21,25,26,27,37,42,45,50,51,54,55,62,68,70,71,72,
93,105,109,112,115,148],[1,2,3,6,12,14,15,16,17,18,26,37,42,45,49,51,55,62,91,
105,109,149],[1,2,3,4,5,8,9,10,12,13,14,15,19,21,22,23,24,40,41,43,48,49,50,
52,53,56,57,59,64,67,88,92,98,99,101,104,110,150],[1,2,3,5,6,8,10,11,12,13,14,
16,18,22,23,24,40,42,47,48,49,52,53,57,58,60,63,65,89,91,99,100,101,102,108,
151],[1,2,3,4,5,8,9,10,11,12,13,14,15,19,21,24,39,40,41,44,46,47,49,50,52,53,
61,66,89,95,98,100,103,107,110,152],[1,2,3,4,5,6,8,9,10,11,12,13,14,16,18,19,
20,21,22,23,24,25,27,39,40,42,43,44,46,47,48,50,52,53,54,56,58,60,61,63,64,65,
66,67,68,70,88,93,102,103,104,107,108,113,114,116,117,153],[1,2,3,5,6,12,13,
15,16,22,23,38,41,45,48,51,55,59,69,92,106,111,118,119,154],[1,2,3,6,11,12,14,
15,16,38,41,45,47,51,55,69,95,106,111,155],[1,2,3,7,8,10,11,12,14,30,40,47,49,
74,76,89,122,156],[1,2,3,7,8,10,12,15,24,30,40,41,52,74,80,110,122,157],[1,2,
3,4,5,7,8,9,10,12,13,19,21,22,23,30,32,40,43,48,50,64,74,78,88,122,124,158],[
1,2,3,5,7,8,10,12,13,14,22,23,30,35,40,48,49,53,57,74,79,101,122,126,159],[1,
2,3,7,8,10,12,30,34,36,40,74,75,87,122,125,160],[1,2,3,6,7,8,10,12,16,18,24,
30,33,40,42,52,60,65,74,81,102,122,127,161],[1,2,3,4,5,7,8,9,10,11,12,13,14,
19,21,29,30,31,39,40,44,46,47,50,53,74,77,103,121,122,123,162],[1,2,3,4,5,7,9,
10,12,13,14,19,21,29,34,35,36,44,49,50,57,74,84,96,123,125,126,163],[1,3,4,5,
6,7,10,11,13,18,19,20,22,24,27,31,32,33,43,46,54,56,58,60,61,74,83,117,121,
124,127,164],[1,3,4,5,6,7,9,10,14,18,19,22,24,25,27,29,32,33,43,44,60,63,66,
67,68,74,86,114,123,124,127,165],[1,2,3,5,7,10,11,12,13,14,22,23,31,34,35,36,
46,47,48,57,74,85,97,121,125,126,166],[1,2,3,4,5,6,7,8,9,11,18,19,21,22,23,24,
25,27,29,30,31,32,33,34,35,39,58,61,64,65,67,68,75,76,77,78,79,80,81,83,84,85,
86,113,128,129,130,131,132,134,135,167],[1,2,4,5,6,7,16,17,20,21,25,26,27,29,
34,35,37,62,70,71,72,82,84,115,133,137,138,168],[1,2,5,7,15,23,31,34,35,38,59,
69,85,118,136,169],[1,6,7,17,28,33,73,82,170],[1,2,3,6,8,10,12,15,16,17,18,24,
36,37,38,40,41,42,45,51,52,55,60,65,87,90,94,102,109,110,111,139,142,144,
171],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,18,19,20,21,22,23,24,25,27,36,39,
40,41,42,43,44,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,
70,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,107,108,110,113,
114,116,117,140,141,143,144,147,150,151,152,153,172],[1,2,3,6,8,10,12,15,16,
18,24,26,36,40,41,42,52,55,60,62,65,69,87,90,94,102,105,106,110,144,145,146,
173],[1,2,3,5,6,10,11,12,13,14,15,16,17,18,22,23,36,37,38,41,42,45,46,47,48,
51,55,57,58,59,63,69,90,92,95,97,106,108,109,111,118,119,139,143,146,154,155,
174],[1,2,3,4,5,6,9,10,12,13,14,15,16,17,18,19,20,21,25,26,27,36,37,38,41,42,
44,45,49,50,51,54,55,57,62,68,70,71,72,90,91,93,96,98,105,109,111,112,115,139,
141,145,148,149,175],[1,2,3,5,6,10,11,12,13,14,15,16,18,22,23,24,26,36,41,42,
46,47,48,52,55,57,58,59,62,63,90,92,94,95,97,105,108,142,143,145,176],[1,2,3,
4,5,6,9,10,12,13,14,15,16,18,19,20,21,24,25,27,36,41,42,44,49,50,52,54,55,57,
68,69,70,90,91,93,94,96,98,106,141,142,146,177],[1,2,3,8,10,12,28,36,40,87,
178],[1,2,3,6,7,10,12,15,16,17,18,34,36,37,38,41,42,45,51,55,74,82,90,109,111,
125,133,136,139,179],[1,2,3,6,7,8,10,12,15,16,18,24,30,33,34,36,40,41,42,52,
55,60,65,74,75,80,81,87,90,94,102,110,122,125,127,135,144,157,160,161,180],[1,
2,3,4,5,7,8,9,10,11,12,13,14,19,21,22,23,30,32,34,36,39,40,43,44,46,47,48,49,
50,53,57,64,74,75,76,78,87,88,89,96,97,101,103,122,124,125,131,140,156,158,
160,181],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,18,19,20,21,22,23,24,25,27,29,
30,31,32,33,39,40,42,43,44,46,47,48,50,52,53,54,56,58,60,61,63,64,65,66,67,68,
70,74,77,78,81,83,86,88,93,102,103,104,107,108,113,114,116,117,121,122,123,
124,127,129,153,158,161,162,164,165,182],[1,2,3,4,5,7,8,9,10,12,13,14,15,19,
21,22,23,24,30,32,35,40,41,43,48,49,50,52,53,56,57,59,64,67,74,78,79,80,88,92,
98,99,101,104,110,122,124,126,128,150,157,158,159,183],[1,2,3,4,5,7,8,9,10,11,
12,13,14,19,21,22,23,29,30,31,34,35,36,39,40,43,44,46,47,48,49,50,53,57,64,74,
75,77,79,84,85,87,88,89,96,97,101,103,121,122,123,125,126,132,140,159,160,162,
163,166,184],[1,2,3,5,6,7,8,10,11,12,13,14,16,18,22,23,24,30,33,35,40,42,47,
48,49,52,53,57,58,60,63,65,74,76,79,81,89,91,99,100,101,102,108,122,126,127,
130,151,156,159,161,185],[1,2,3,4,5,7,8,9,10,11,12,13,14,15,19,21,24,29,30,31,
39,40,41,44,46,47,49,50,52,53,61,66,74,76,77,80,89,95,98,100,103,107,110,121,
122,123,134,152,156,157,162,186],[1,4,6,7,17,25,26,28,29,32,33,71,73,82,86,
120,137,170,187],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,
24,25,26,27,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,
58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,87,88,89,90,91,92,93,94,95,96,97,
98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,
118,119,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,
171,172,173,174,175,176,177,188],[1,2,3,6,8,10,12,15,16,18,24,28,36,40,41,42,
52,55,60,65,73,87,90,94,102,110,144,178,189],[1,2,3,6,7,8,10,12,15,16,17,18,
24,30,34,36,37,38,40,41,42,45,51,52,55,60,65,74,75,82,87,90,94,102,109,110,
111,122,125,133,136,139,142,144,160,171,179,190],[1,2,3,4,5,6,7,9,10,12,13,14,
15,16,17,18,19,20,21,25,26,27,29,34,35,36,37,38,41,42,44,45,49,50,51,54,55,57,
62,68,70,71,72,74,82,84,90,91,93,96,98,105,109,111,112,115,123,125,126,133,
136,137,138,139,141,145,148,149,163,168,175,179,191],[1,2,3,5,6,7,10,11,12,13,
14,15,16,17,18,22,23,31,34,35,36,37,38,41,42,45,46,47,48,51,55,57,58,59,63,69,
74,82,85,90,92,95,97,106,108,109,111,118,119,121,125,126,133,136,139,143,146,
154,155,166,169,174,179,192],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,19,20,
21,22,23,24,25,27,29,30,31,32,33,34,35,36,39,40,41,42,43,44,46,47,48,49,50,52,
53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,70,74,75,76,77,78,79,80,81,83,84,
85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,107,108,110,
113,114,116,117,121,122,123,124,125,126,127,128,129,130,131,132,134,135,140,
141,143,144,147,150,151,152,153,156,157,158,159,160,161,162,163,164,165,166,
167,172,180,181,182,183,184,185,186,193],[1,2,3,6,8,10,12,15,16,18,24,26,28,
36,40,41,42,52,55,60,62,65,69,73,87,90,94,102,105,106,110,120,144,145,146,173,
178,189,194],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,
25,26,27,29,30,31,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,
54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,77,79,82,84,85,
87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,
109,110,111,112,113,114,115,116,117,118,119,121,122,123,125,126,132,133,136,
137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,
159,160,162,163,166,168,169,171,172,173,174,175,176,177,179,184,188,190,191,
192,195],[1,2,3,6,7,8,10,12,15,16,17,18,24,28,30,33,34,36,37,38,40,41,42,45,
51,52,55,60,65,73,74,75,80,81,82,87,90,94,102,109,110,111,122,125,127,133,135,
136,139,142,144,157,160,161,170,171,178,179,180,189,190,196],[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]],
0,[[1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,2,1,1],[1,1,2,1],[1,3,1],[1,1,
1],[1,1,2,1],[1,1,2,1],[1,1,1],[1,1,1],[1,1,2,1],[1,3,1],[1,1,2,1],[1,1,1,1,
1],[1,2,1,1],[1,1,1,1,1],[1,1,2,1],[1,1,2,1],[1,1,1],[1,2,1,1],[1,1,1],[1,1,1,
1,1],[1,1],[1,3,1,1],[1,1,1,1],[1,3,1,1],[1,1,1,1],[1,3,1,1],[1,1,1,1],[1,3,1,
1],[1,1,6,4,3,1],[1,1,6,3,4,1],[1,1,3,1],[1,2,1,2,1,1,1,1],[1,3,4,3,1,3,1],[1,
1,2,1,2,1],[1,1,2,4,1,2,4,1],[1,3,1,3,1,3,3,1],[1,3,2,1,1,1,1],[1,1,4,1,2,1],[
1,3,2,1,1,1,1],[1,1,2,1,1,1,1],[1,1,2,4,1,2,2,2,1],[1,1,2,1,2,1],[1,1,2,2,2,1,
1,1,2,2,1],[1,1,2,2,1,1],[1,1,2,1,2,1],[1,2,1,2,1,1,1,1],[1,1,1,3,2,1,1,1,2,2,
1],[1,1,2,2,1,1,1,1],[1,1,4,1,1,1,1],[1,3,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,4,
1,2,1],[1,3,2,1,1,1,1],[1,1,1,1,1,1,1,1],[1,1,2,1,2,1],[1,1,2,2,1,1,1,1],[1,2,
1,1,3,1,1,2,1,2,1],[1,2,1,2,1,1,1,1],[1,1,1,1,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,
3,1,2,1,1,1,2,2,1],[1,1,1,1],[1,1,2,2,2,1,1,2,1,2,1],[1,2,3,1,1,1,1],[1,2,3,1,
1,1,1],[1,5,1,1],[1,3,4,1,1],[1,2,1,1,1,1,2,1],[1,1,1,1,1,1],[1,1,3,3,1,3,1,1,
1,1],[1,1,2,1,1,1,2,1],[1,1,6,1,3,1,2,1],[1,1,1,3,1,1],[1,1,6,1,3,1,2,1],[1,3,
4,1,1],[1,1,3,3,1,3,1,1,1,1],[1,1,3,3,1,3,1,1,1,1],[1,1,6,1,3,1,1,1,1],[1,4,3,
1,3,1,1,1,1],[1,5,10,10,10,15,5,10,1],[1,3,4,2,6,3,1,1,3,3,6,6,6,6,1,2,3,3,6,
1],[1,3,4,3,1,1,3,3,1,3,3,1],[1,1,6,4,4,3,2,2,4,1,1,1,4,1],[1,1,2,4,1,4,2,4,1,
2,1],[1,1,2,8,1,4,2,4,4,1,2,4,1],[1,1,2,4,4,4,2,1,2,2,4,4,4,4,4,8,1,2,4,4,4,
1],[1,1,6,4,3,4,1,2,1],[1,1,2,2,1,2,2,1,2,1],[1,1,6,2,2,1,4,3,1,2,2,2,1,2,1,1,
2,1],[1,1,6,4,4,1,3,2,1,2,2,1,2,1,1,2,1],[1,1,2,2,2,1,1,1,2,2,2,2,1,1,1,1],[1,
1,2,4,1,2,2,2,2,2,1,1,1,1],[1,1,2,1,1,3,2,1,1,1,1],[1,3,4,4,3,1,3,2,2,2,2,1,1,
1,2,2,1],[1,3,4,4,3,1,3,2,4,2,1,1,1,2,2,1],[1,3,4,2,2,3,1,1,1,3,1,1,2,2,1,1,1,
1,1,1,1,1],[1,1,2,2,6,1,1,3,2,2,2,2,2,1,1,1,2,2,1],[1,1,2,4,1,2,4,4,1,2,1],[1,
1,2,1,2,1,2,1],[1,1,2,2,2,1,1,1,1,1,2,2,2,1,1,1,2,2,1],[1,1,2,4,4,1,1,2,1,2,4,
2,2,1,1,1,2,2,1],[1,1,2,8,1,2,4,4,4,1,1,2,1,2,1],[1,3,4,3,1,3,2,2,1,1,1,1],[1,
1,2,4,1,4,2,1,1,1,2,2,1],[1,1,2,2,2,2,1,1,2,1,2,2,1,1,1,1],[1,2,1,3,3,2,1,1,1,
1,1,2,1,2,1,2,2,1,1,1,1,1,1,1,1],[1,3,3,3,2,1,1,1,1,3,3,1,2,2,1,1,1,1,1,1,1,
1],[1,1,2,2,6,3,4,1,2,1,2,2,1,1,1,2,2,1],[1,2,1,1,5,2,1,1,1,1,1,2,2,1,2,1,2,1,
1,1,1,1,1,1,1],[1,3,1,5,2,1,1,1,1,3,2,3,1,2,1,1,1,1,1,1,1,1],[1,1,4,3,2,1,1,1,
1],[1,1,4,4,1,2,2,1,1,1,1],[1,5,5,1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,4,4,3,1,
3,4,1,1,1],[1,3,6,4,3,1,3,4,3,1,1],[1,3,1,3,4,1,3,3,4,1,1,1],[1,1,6,4,4,3,4,1,
1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,1,2,6,1,1,3,3,1,2,2,3,
1,1,1,1],[1,1,5,3,6,1,1,3,3,6,6,1,1,1,2,2,3,1,1,1,2,2,1],[1,1,6,6,1,1,3,3,1,2,
2,3,1,1,1,1],[1,2,1,2,1,1,1,1,1,2,2,1,1,1,1,1],[1,2,1,3,9,1,1,3,6,3,6,1,1,1,2,
2,3,1,1,1,2,2,1],[1,1,6,4,3,4,4,1,1,1],[1,1,3,3,1,1,3,3,1,1,1,3,1,1,1,1],[1,2,
1,6,1,1,3,3,1,2,2,3,1,1,1,1],[1,1,4,3,4,1,1],[1,6,3,4,1,3,3,4,3,1,1],[1,6,3,4,
1,3,3,4,3,1,1],[1,1,6,12,4,3,6,6,8,12,1,2,2,3,3,6,6,12,3,6,6,1],[1,5,10,2,6,
10,1,10,1,15,3,3,6,6,6,6,5,1,10,2,3,3,3,3,3,3,3,6,6,1,1,1,3,3,3,3,1],[1,1,6,4,
4,4,2,4,3,2,4,2,2,4,4,4,4,4,8,1,1,1,4,2,2,4,4,4,4,4,1,1,1,2,2,1],[1,1,6,4,4,3,
2,2,4,8,1,1,1,4,4,1,2,1],[1,1,6,8,4,4,2,3,4,2,2,2,4,4,4,1,1,1,4,2,2,4,4,4,4,4,
1,1,1,2,2,1],[1,5,10,4,10,10,15,2,2,4,4,5,10,1,1,2,4,4,4,1,1,1,2,2,1],[1,1,6,
4,4,3,2,2,4,8,1,1,1,4,4,1,2,1],[1,1,6,4,4,3,2,2,4,1,1,1,4,4,1,2,1],[1,1,6,2,6,
1,4,1,3,3,3,2,2,2,2,4,1,2,2,1,1,1,1,2,2,4,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,4,8,
2,1,2,2,4,4,4,4,4,4,4,4,8,1,1,2,2,1,4,2,2,4,4,4,4,1,1,1,2,2,1],[1,1,2,8,1,4,2,
4,4,4,4,1,1,2,2,1,2,2,1,1,1,1],[1,3,4,2,10,3,1,1,3,5,2,2,6,6,8,8,2,1,1,2,4,1,
3,1,2,2,2,4,6,2,1,1,1,1,1,1,1,1],[1,3,4,4,4,3,1,1,3,2,5,2,4,2,2,2,1,1,3,1,4,1,
2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,4,2,2,3,1,1,2,3,1,4,2,2,2,2,1,1,1,1,1,4,3,1,
1,1,2,2,1,1,1,1,1,1,1,1],[1,3,4,4,8,4,3,2,1,1,3,4,1,2,4,8,4,8,6,6,2,4,8,1,1,1,
2,1,1,1,3,4,1,1,4,2,2,2,2,2,6,2,2,2,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,8,4,1,
4,4,2,4,4,1,1,1,2,2,2,4,2,1,1,1,2,2,1],[1,1,2,4,2,1,2,4,2,1,1,1,2,2,2,2,1,1,1,
1],[1,3,4,4,3,1,1,3,3,4,1,3,3,1,4,1,1,1],[1,3,4,4,3,1,3,6,6,4,1,3,3,1,4,3,1,
1],[1,3,4,2,6,4,3,1,1,3,3,6,6,6,6,4,8,1,2,3,3,6,1,4,1,1,2,1],[1,3,4,12,4,3,1,
3,6,6,6,6,4,8,1,3,3,6,6,1,4,3,1,2,1],[1,5,10,4,10,10,15,4,8,5,10,1,4,1,1,2,
1],[1,3,4,12,4,3,1,3,6,12,6,4,8,1,3,3,6,6,1,4,3,1,2,1],[1,3,4,6,6,4,3,3,1,3,3,
3,3,6,6,4,4,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,6,6,6,4,3,4,3,3,6,6,6,4,4,4,1,
6,3,3,6,1,4,3,1,1,1,1],[1,3,1,9,6,4,1,3,3,3,3,6,3,3,6,4,4,4,1,3,3,3,3,3,3,1,4,
3,1,1,1,1],[1,3,7,3,6,4,3,1,3,3,3,3,3,6,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[
1,1,6,12,4,4,3,3,6,3,6,6,4,4,4,1,6,3,3,6,1,4,3,1,1,1,1],[1,2,1,5,9,6,1,1,1,1,
3,3,6,3,6,3,6,6,1,1,1,2,2,2,2,1,3,3,3,3,3,3,1,1,1,1,1,1,1,2,2,2,2,3,1,1,1,1,1,
1,1,1],[1,1,6,6,6,4,3,4,3,6,3,6,6,4,4,4,1,3,3,6,6,1,4,3,1,1,1,1],[1,1,12,4,3,
6,4,4,4,1,3,3,4,3,1,1],[1,15,10,5,6,10,6,5,1],[1,5,10,12,10,10,15,6,6,8,12,12,
5,2,2,10,3,3,6,6,6,12,12,12,1,3,3,6,6,6,6,1,3,3,1],[1,5,10,4,12,4,10,2,10,2,
15,6,6,2,2,4,12,4,12,12,12,4,4,8,5,2,10,1,1,4,6,6,6,6,6,6,2,6,4,4,4,12,4,4,4,
4,4,12,4,4,4,4,4,1,2,2,1,1,1,1,1,1,6,6,2,2,2,6,2,6,2,2,2,2,4,4,4,4,2,1,1,1,2,
2,2,2,2,1],[1,5,10,4,10,10,15,2,2,4,4,8,5,10,1,1,2,4,4,4,4,4,1,1,1,2,2,2,2,1,
1,1,1],[1,1,6,8,12,4,2,3,4,2,6,6,8,12,4,4,1,2,2,3,3,6,4,2,2,6,12,4,4,4,4,4,3,
1,1,2,2,2,6,6,4,4,1,1,1,2,2,1],[1,1,6,4,4,12,2,4,3,2,4,6,6,8,12,4,4,4,4,8,8,1,
2,2,3,3,4,6,2,2,6,4,12,4,4,4,4,8,8,3,1,1,2,2,2,6,6,4,4,1,1,1,2,2,1],[1,1,6,8,
4,4,2,3,4,2,2,2,4,4,4,8,8,1,1,1,4,2,2,4,4,4,4,4,4,4,1,1,2,1,2,2,2,1,1,1,1],[1,
1,6,4,4,4,2,4,3,2,4,2,2,4,4,4,4,8,4,8,1,1,1,4,2,2,4,4,4,4,4,4,4,1,1,1,2,2,2,2,
1,1,1,1],[1,5,10,10,10,15,16,5,10,1,1],[1,1,6,12,16,4,3,6,6,8,12,16,1,2,2,3,3,
6,6,12,4,8,3,6,6,4,8,8,1,1],[1,5,10,12,4,10,10,15,6,6,12,12,4,8,8,5,10,3,3,6,
12,12,12,1,4,4,4,1,3,3,6,6,1,2,2,4,3,1,1,1,1],[1,5,10,2,6,4,10,1,10,1,15,3,3,
6,6,6,6,4,8,8,5,1,10,2,3,3,3,3,3,3,3,6,6,1,4,4,4,1,1,1,3,3,3,3,1,2,2,4,1,1,1,
1,1],[1,3,4,8,12,12,4,3,4,1,3,3,6,3,6,12,12,12,12,6,6,6,12,24,4,4,4,8,8,3,1,3,
2,3,3,3,3,6,3,3,12,6,6,6,6,6,6,6,6,6,12,12,1,4,4,4,8,8,1,3,3,3,3,3,3,6,6,6,6,
1,1,1,2,2,4,3,1,1,1,2,2,1],[1,3,4,2,18,4,3,1,1,3,9,6,6,6,6,12,12,6,4,8,8,1,3,
2,6,3,3,3,6,6,6,12,6,6,1,4,4,4,1,3,3,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,5,10,6,18,
4,10,3,10,3,15,9,9,18,18,18,18,4,4,4,8,8,5,3,10,6,9,9,9,9,9,9,9,18,18,1,4,4,4,
8,8,1,3,3,9,9,9,9,1,1,1,2,2,4,3,1,1,1,2,2,1],[1,3,4,12,12,4,3,1,1,3,6,9,6,12,
6,6,6,4,8,8,1,3,3,3,6,3,6,6,6,6,6,6,1,4,4,4,1,3,3,3,3,3,3,1,2,2,4,3,1,1,1,1],[
1,3,4,6,6,4,3,3,1,4,3,3,6,6,6,6,6,4,4,4,3,1,3,3,3,6,3,3,3,3,6,6,1,4,4,4,1,3,3,
3,3,3,3,1,1,1,4,3,1,1,1,1],[1,10,15,10,5,15,15,6,10,10,10,15,6,5,10,6,5,1,1],[
1,5,10,4,12,12,10,2,10,2,15,6,6,6,6,8,12,12,4,12,12,12,12,4,8,8,5,2,2,2,10,3,
3,4,6,6,6,6,6,6,6,6,6,6,4,12,4,12,4,4,12,4,4,4,12,12,4,4,4,4,4,8,8,1,2,2,3,1,
1,1,3,1,6,6,2,2,2,6,6,6,2,2,2,2,2,6,6,6,4,4,4,4,4,4,4,4,1,2,1,3,1,3,1,1,2,2,2,
2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,5,10,20,10,10,15,10,10,20,20,16,5,10,5,5,10,
20,20,20,16,1,5,5,10,10,5,1,1],[1,5,10,12,16,10,10,15,6,6,8,12,12,16,32,5,2,2,
10,3,3,6,6,6,12,12,12,4,16,8,1,3,3,6,6,6,6,4,8,8,8,1,3,3,4,1,1,1],[1,1,6,12,
12,12,16,6,4,3,6,12,6,6,8,12,12,12,12,12,24,24,16,16,16,1,2,2,3,3,12,6,6,6,6,
12,12,12,12,12,12,24,24,4,8,16,3,3,3,6,6,6,6,6,12,12,4,4,4,8,8,8,8,1,3,3,6,6,
4,8,3,1,1],[1,1,6,24,12,16,4,6,3,12,6,6,6,8,12,12,12,16,16,16,1,2,2,3,3,6,12,
6,6,6,12,12,12,12,12,12,4,8,16,3,3,3,6,6,6,6,6,12,12,4,4,4,8,8,1,3,3,6,6,4,8,
3,1,1],[1,5,10,8,24,12,4,10,4,10,4,15,12,12,6,6,12,24,12,24,24,24,12,12,24,4,
4,4,8,8,8,8,5,4,10,3,3,8,12,12,12,12,12,12,6,12,12,12,12,24,12,12,12,12,12,24,
12,12,12,12,12,1,4,4,4,4,4,4,4,8,8,8,8,1,4,4,3,3,3,3,3,3,12,12,6,6,6,12,6,12,
6,6,6,6,12,12,12,12,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,3,3,3,6,6,6,6,6,1,1,1,1,1,1,
1,2,2,2,2,4,3,1,1,1,1,1,1,1,1],[1,5,10,20,10,10,15,10,10,20,20,40,16,5,10,5,5,
10,20,20,20,20,20,16,1,5,5,10,10,10,10,16,5,5,5,5,1,1,1],[1,5,10,12,36,12,16,
10,6,10,6,15,18,18,6,6,8,12,36,12,36,36,36,12,12,24,24,16,16,16,32,32,5,2,2,6,
10,3,3,12,18,6,18,18,18,18,18,6,6,18,12,12,12,36,12,12,12,12,12,12,36,12,12,
12,12,12,12,24,24,4,16,16,16,8,32,32,1,6,6,3,3,3,3,3,3,18,18,6,6,6,18,6,18,6,
6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,4,4,4,8,8,16,8,8,8,8,1,6,3,3,3,3,3,3,6,
6,6,6,6,6,6,6,6,4,4,4,8,8,8,8,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,5,10,60,40,10,
10,15,30,30,40,60,60,96,40,80,80,5,10,10,10,15,15,30,30,30,60,60,60,96,10,40,
40,40,40,1,15,15,30,30,30,30,10,20,20,40,40,40,5,15,15,10,10,10,16,5,6,5,10,6,
5,1],[1,5,10,20,60,60,40,10,10,10,10,15,30,30,30,30,40,60,60,60,60,60,60,60,
60,120,120,96,40,40,40,80,80,80,80,5,10,10,10,10,15,15,20,30,30,30,30,30,30,
30,30,30,30,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,120,120,96,10,
40,40,40,40,40,40,40,40,80,80,80,80,1,10,10,15,15,15,15,15,15,30,30,30,30,30,
30,30,30,30,30,30,30,30,30,30,30,60,60,60,60,60,60,60,60,96,10,10,10,20,20,20,
20,40,40,40,40,40,40,40,40,40,40,40,5,10,15,15,15,15,15,15,30,30,30,30,30,30,
30,30,30,10,10,10,10,10,10,10,20,20,20,20,40,40,40,16,5,15,15,15,15,15,15,6,5,
10,10,10,10,10,10,10,16,15,6,5,5,5,10,6,5,1,1]],
[1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,5,6,6,6,6,6,6,6,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,10,12,12,
12,12,12,12,12,12,12,12,12,12,12,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,20,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,48,48,48,48,48,48,48,48,48,48,48,48,48,48,60,64,64,64,64,64,64,64,80,96,
96,96,96,96,96,96,96,120,128,160,192,192,192,192,320,384,960,1920],
[197,195,193,182,153,148,167,193,193,193,193,188,172,172,174,175,168,153,153,
148,153,153,150,153,148,115,93,120,167,167,167,129,129,132,132,195,191,192,
193,193,188,188,182,172,174,172,172,172,172,172,175,172,172,153,139,153,140,
153,154,153,153,148,153,153,153,153,153,153,154,148,115,115,120,193,167,167,
167,167,167,167,167,168,129,132,132,129,197,193,193,188,188,188,188,188,188,
172,172,172,172,172,172,172,172,172,175,174,172,172,175,172,174,148,153,153,
148,153,153,154,154,120,193,193,193,182,184,184,182,167,167,167,167,167,168,
167,167,169,168,168,195,193,188,188,188,188,188,188,172,175,175,172,172,172,
172,174,174,193,193,193,193,193,193,193,184,182,182,184,167,168,169,187,195,
188,188,188,188,188,188,194,195,193,193,193,193,193,193,193,187,188,194,195,
195,195,193,194,195,197,197],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,7,1,7,1,7,1,7,1,1,2,
3,1,1,1,1,3,2,3,1,1,1,1,1,1,3,1,2,3,3,3,2,3,1,1,3,1,3,1,3,1,1,1,6,6,28,10,1,1,
7,1,7,7,7,17,7,7,7,7,1,1,1,2,2,2,1,2,1,3,3,3,2,3,3,3,3,3,2,2,1,3,2,3,2,6,3,3,
6,3,3,15,15,28,74,10,74,10,10,74,74,30,7,30,3,7,17,7,30,38,82,82,2,3,12,12,12,
12,12,12,12,16,16,12,12,3,3,15,15,10,74,10,74,10,74,74,74,74,74,74,30,82,136,
170,36,12,36,41,42,41,42,87,139,122,40,74,122,74,122,74,170,90,178,139,179,
179,122,178,179,196,196],
[(1,4)(2,3),( 1, 9, 7, 5, 3)( 2,10, 8, 6, 4)],
[[[[]]],[[[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],[
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1,5,1,4,1,5,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2],[5,1,4,1,5,1,4,1]]],[[[1,1,2,
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4,-2,3,-1]]],[[[1,1,2,1],[2,1,1,1],[4,3,3,-2,2,-1]],[[1,1,2,1],[1,1,2,-1,3,1,
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3,1,2,1]],[[1,1,2,1],[3,1,2,1,3,3,1,1,2,-1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,-2,
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3,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,3,3,-2,2,-1]],[[1,1,2,1],[3,2,1,1,2,-1,
3,1,2,1,3,1]],[[1,1,2,1],[1,1,2,-1,3,1,2,1,3,3]]],[[[1,1,2,1],[2,1,1,1],[3,2,
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1],[2,1,1,1],[3,2,2,1],[4,1,5,-1,4,1,5,-1]],[[1,1,2,1],[2,1,3,1,1,1,2,-1,1,1,
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1],[3,2,2,1],[4,1,5,-1,4,1,5,-1]]],[[[1,1,2,1],[2,2,3,3,1,1,2,-1]],[[1,1,2,-2,
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1,2,1,1,1,3,1]]],[[[1,1,2,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,
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1,1],[1,1,2,1,3,-1,2,-1,3,1]],[[1,1,2,1],[2,2,3,2]]],[[[1,1,2,-2,1,1,2,2,1,
1]],[[1,1,2,1],[2,2,3,2]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,3,3,-1]],[[1,1,2,1],[
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1],[2,2,3,2]]],[[[1,1,2,1],[3,1,1,1,2,-2,3,2,2,1]],[[1,1,2,1],[2,1,1,1,2,-1],[
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3,1]],[[1,1,2,1],[2,2,3,3,1,1,2,-1]],[[1,1,2,1],[2,1,3,2,1,1,2,1,1,1]]],[[[1,
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1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,2,1,3,1]],[[1,1,2,1],[2,1,3,2,1,1,2,1,1,
1]]],[[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,-2,3,-1]],[[2,1,1,1],[3,1,2,2,1,1,2,1,3,
-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],[4,1,3,
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2,1,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[3,2],[5,1,4,-2,5,-1]],[[1,1,2,1],[3,1,
2,1,3,3,1,1,2,-1]],[[2,1,1,1],[3,2,2,-1,1,1,2,-2,3,-1]]],[[[2,1,1,1],[1,1,2,
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1,2,1,3,-2,2,-1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,2,1,3,1]]],[[[1,1,2,1],[1,1,2,
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3,1,1,1,2,1,1,1,2,1,3,1]]],[[[2,2,1,1,2,-1,1,1,2,-1,1,1,2,1]],[[2,1,1,1],[2,1,
3,2,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[4,2,3,-1,2,-1,3,-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],[4,1,3,-1,2,-1,3,2,4,-1]]],[[[1,1,2,
1],[2,1,1,1],[2,1,3,1,4,-1,3,1,4,2]],[[1,1,2,1],[2,1,1,1,3,-2,2,2]],[[1,1,2,
1],[3,1,1,1,2,1,1,1,2,1,3,1]]],[[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1]],[[1,1,2,
1],[3,-2]]],[[[1,1,2,1],[2,1,1,1],[4,2,3,-1,2,-1,3,-2]],[[1,1,2,1],[3,1,2,1,3,
3,2,1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,2,1,3,1]]],[[[1,1,2,1],[2,1,3,1,1,1,2,-1,
1,1,2,-1,3,1]],[[2,1,1,1],[2,1,3,2,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[4,2,3,-1,
2,-1,3,-2]],[[1,1,2,1],[3,1,1,1,2,1,1,1,2,1,3,1]],[[1,1,2,1],[2,2,3,3,1,1,2,
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1,1,2,1],[3,1,1,1,2,1,1,1,2,1,3,1]]],[[[2,2,1,1,2,-1,1,1,2,-1,1,1,2,1]],[[1,1,
2,-2,1,1,2,2,1,1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,2,1,3,1]]],[[[1,1,2,1],[2,1,3,
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],[3,1,1,1,2,1,1,
1,2,1,3,1]]],[[[1,1,2,1],[2,1,1,1,3,-3,2,2,1,1]],[[1,1,2,1],[2,1,3,3,2,
1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,3,1,1,1,4,1]],[[2,1,1,1],[2,2,3,-2,
2,-1,1,1]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,2,1,3,1]],[[2,1,1,1],[2,1,3,2,2,1,1,
1]],[[1,1,2,-2,1,1,2,2,1,1]]],[[[2,2,1,1,2,-1,1,1,2,-1,1,1,2,1]],[[2,1,1,1,2,
2,1,1,2,2]],[[1,1,2,1],[3,1,1,1,2,1,1,1,2,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,
3,-2,4,2,3,-1]],[[2,2,1,1,2,-1,1,1,2,2]],[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,-2,3,
-1]]],[[[1,1,2,1],[3,1,2,1,3,3,2,1]],[[1,1,2,1],[3,-2]]],[[[1,1,2,1],[2,1,1,
1],[3,1,2,1,3,1,4,2]],[[1,1,2,1],[3,-2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,-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],[2,1,3,3,2,
1]]],[[[1,1,2,1],[2,2,3,3,1,1,2,-1]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-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,-1,3,-1,1,1,2,1,1,
1,3,1]],[[1,1,2,1],[2,1,3,1],[4,1,3,2,4,1]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,
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1,1,2,1],[3,1,1,1,2,1,1,1,2,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1,2,
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2,1],[2,1,1,1],[3,1,2,1,3,1,4,2]],[[1,1,2,1],[2,1,1,1,3,-2,2,2]],[[1,1,2,1],[
3,2,1,1,2,-1,3,1,2,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,-1,2,-1]],[[2,1,
1,1],[2,2,3,-2,2,-1,1,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,1,4,2]],[[2,
1,1,1,2,2,1,1,2,2]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-1,3,1]],[[2,2,1,1],[3,1,
2,-1,1,1,3,1]]],[[[1,1,2,1],[2,1,3,2,2,1,1,1]],[[1,1,2,-1,1,1,2,-2,1,1,2,
-1]]],[[[1,1,2,1],[2,-2,3,2]],[[1,1,2,1,1,1,2,-2]]],[[[2,1,1,1,2,1,1,1,2,-1,1,
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3,1],[4,1,2,1,1,1,3,-1,4,-1]],[[1,1,2,1],[1,1,3,-2,2,2,1,1]],[[2,1,1,1],[1,1,
2,1,3,-1,2,-1,3,1]]],[[[1,1,2,1],[2,1,3,2,2,1,1,1,3,-1]],[[1,1,2,1],[2,2,3,2,
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1]],[[2,2,1,1,2,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,3,1],[4,1,2,1,1,1,3,-1,4,
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1,2,1],[2,1,1,1],[1,1,3,-1,4,2,3,-2]],[[1,1,2,1],[2,2,3,2]],[[1,1,2,-2,1,1,2,
2,1,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1]],[[1,1,2,1],[2,2,3,2]],[[1,1,2,
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1,2,1],[2,2,3,2]],[[1,1,2,-2,1,1,2,2,1,1]]],[[[1,1,2,1],[2,2,3,3,1,1,2,-1]],[[
2,1,1,1,2,2,1,1,2,1]],[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]]],[[[1,1,2,
1],[2,1,3,2,2,1,1,1,3,-1]],[[2,1,1,1,2,2,1,1,2,2]]],[[[2,2,1,1,2,-1,1,1,2,-1,
1,1,2,1]],[[1,1,2,1],[2,2,3,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1]]],[[[1,1,2,
1],[2,1,1,1],[1,1,3,-1,4,2,3,-2]],[[1,1,2,1],[2,2,3,2]],[[1,1,2,1],[2,1,1,1],[
3,2,4,1,2,1,4,1]]],[[[2,2,1,1,2,-1,1,1,2,-1]],[[1,1,2,1],[3,-2]]],[[[1,1,2,
1],[2,1,1,1,3,-1,2,1,3,1]],[[1,1,2,-1,1,1,2,1,1,1]]],[[[1,1,2,1],[2,1,3,3,2,
1]],[[1,1,2,1],[3,2,2,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,1,4,
1]],[[2,2,1,1,2,-1,1,1,2,2]],[[1,1,2,1],[2,1,3,1,2,2,3,1]],[[1,1,2,1],[3,1,1,
1,2,-2,3,1,1,1]]],[[[2,2,1,1,2,-1,1,1,2,-1,1,1,2,1]],[[1,1,2,-2,1,1,2,2,1,
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],[2,2,1,1,2,1,3,-2,2,-1]],[[1,1,2,1],[3,-2]],[[2,1,1,1,2,1,1,
1,2,-1,1,1,2,-1]]],[[[1,1,2,1],[3,1,2,1,3,3,2,1]],[[2,1,1,1,2,2,1,1,2,2]]],[[[
2,2,1,1,2,-1,1,1,2,-1,1,1,2,1]],[[2,1,1,1],[2,1,3,2,2,1,1,1]],[[2,1,1,1,2,2,1,
1,2,2]]],[[[1,1,2,1],[2,1,3,1,1,1,2,-1,1,1,2,-1,3,1]],[[1,1,2,1],[2,1,3,2,1,1,
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1,1,2,1],[3,2,2,1,1,1,2,-1]],[[2,1,1,1,2,2,1,1,2,2]]],[[[2,1,1,1],[2,2,3,-2,2,
-1,1,1]],[[2,1,1,1,2,2,1,1,2,2]]],[[[1,1,2,1],[2,1,3,1,1,1,2,-1,1,1,2,-1,3,
1]],[[2,1,1,1],[2,1,3,2,2,1,1,1]],[[1,1,2,-2,1,1,2,2,1,1]]],[[[2,1,1,1],[1,1,
2,-1,3,-1,1,1,2,1,1,1,3,1]],[[1,1,2,1],[2,1,3,3,2,1]],[[2,1,1,1,2,2,1,1,2,
2]]],[[[2,1,1,1],[1,1,2,-2,3,-1,1,1,2,1,3,2]],[[1,1,2,1],[3,-2]]],[[[1,1,2,
1],[2,1,3,1,1,1,2,-1,1,1,2,-1,3,1]],[[1,1,2,1],[2,1,3,2,1,1,2,1,1,1]],[[1,1,2,
-2,1,1,2,2,1,1]]],[[[1,1,2,1],[2,1,3,1,1,1,2,-1,1,1,2,-1,3,1]],[[2,1,1,1],[2,
1,3,2,2,1,1,1]],[[2,1,1,1,2,2,1,1,2,2]]],[[[2,2,1,1,2,-1,1,1,2,-1,1,1,2,1]],[[
2,1,1,1],[2,1,3,2,2,1,1,1]],[[1,1,2,-2,1,1,2,2,1,1]]],[[[2,2,1,1,2,-1,1,1,2,
-1,1,1,2,1]],[[2,1,1,1,2,-1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,2,1,3,1]],[[2,1,1,1,
2,2,1,1,2,2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,3,1,1,1,4,1]],[[2,1,1,1],[
2,2,3,-2,2,-1,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,2,3,-1]]],[[[2,1,1,1],[2,
1,3,2,2,1,1,1]],[[1,1,2,1],[3,-2]]],[[[2,2,1,1,2,-1,1,1,2,-1,1,1,2,1]],[[1,1,
2,1,1,1,2,-1]],[[2,1,1,1],[1,1,2,1,3,2,2,1,1,1]]],[[[1,1,2,1],[1,1,2,-1,3,2,2,
1,1,1]],[[1,1,2,1,1,1,2,-2]]],[[[2,1,1,1,2,1],[3,2,2,1,1,1]],[[1,1,2,1],[2,2,
3,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,1,3,1,4,1]],[[1,1,2,1,1,1,2,-2]]],[[[
1,1,2,1],[3,1,1,1,2,1,1,1,2,1,3,1]],[[2,1,1,1,2,-1,1,1,2,1]],[[1,1,2,1],[2,2,
3,2,2,1]]],[[[2,1,1,1,2,2,1,1,2,2]],[[1,1,2,1,1,1,2,-2]]],[[[1,1,2,1,1,1,2,
-2]],[[2,-1,1,1,2,1]]],[[[1,1,2,1],[2,1,3,2,2,1,1,1,3,-1]],[[1,1,2,-2,1,1,2,2,
1,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1]],[[1,1,2,-1,1,1,2,-2,1,1,2,-1]],[[
1,1,2,1],[1,1,2,-1,3,-2,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1]],[[1,1,2,
-1,1,1,2,1,1,1]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]],[[1,1,2,-2,1,1,2,2,1,
1]]],[[[1,1,2,1],[2,1,1,1,3,-2,2,2]],[[1,1,2,1],[2,1,3,2,2,1,1,1,3,-1]],[[1,1,
2,1],[2,2,3,2,2,1]]],[[[2,2,1,1,2,-1,1,1,2,-1,1,1,2,1]],[[1,1,2,1],[2,2,3,
2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1]],[[1,1,2,-2,1,1,2,2,1,1]]],[[[2,1,1,1,
2,2,1,1,2,2]],[[1,1,2,-1,1,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1,3,-1,2,1,3,1]]],[[[
1,1,2,1],[2,1,3,1],[4,1,2,1,1,1,3,-1,4,-1]],[[1,1,2,1]]],[[[1,1,2,1],[3,1,1,1,
2,-2,3,2]],[[2,-1]]],[[[1,1,2,1],[3,1,2,1,3,3,2,1]],[[2,1,1,1,2,2,1,1,2,2]],[[
1,1,2,1],[3,-2]]],[[[2,2,1,1,2,-1,1,1,2,-1,1,1,2,1]],[[2,1,1,1],[2,1,3,2,2,1,
1,1]],[[2,1,1,1,2,-1]],[[1,1,2,-2,1,1,2,2,1,1]]],[[[1,1,2,1],[2,1,3,2,1,1,2,1,
1,1]],[[1,1,2,1],[2,1,1,1,3,-1,2,1,3,1]]],[[[2,1,1,1],[2,1,3,2,2,1,1,1]],[[1,
1,2,1],[3,-2]],[[2,1,1,1,2,2,1,1,2,2]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,
2]],[[1,1,2,1],[3,2,2,1,1,1,2,-1]],[[2,1,1,1,2,-1]]],[[[2,1,1,1],[2,1,3,2,2,1,
1,1]],[[1,1,2,1],[2,1,1,1,3,-1,2,1,3,1]]],[[[1,1,2,1],[3,1,2,1,3,3,2,1]],[[2,
1,1,1,2,-1]]],[[[1,1,2,1],[3,-4,2,1]],[[2,1]]],[[[1,1,2,1],[2,2,3,2,2,1]],[[1,
1,2,1],[3,-2]],[[2,2,1,1,2,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,3,2,2,1,1,1,3,
-1]],[[1,1,2,-2,1,1,2,2]],[[2,1,1,1,2,-1,1,1,2,1]]],[[[2,2,1,1,2,-1,1,1,2,-1,
1,1,2,1]],[[2,1,1,1,2,1],[3,2,2,1,1,1]],[[1,1,2,1],[2,2,3,2]]],[[[1,1,2,1],[2,
2,3,2]],[[1,1]],[[1,1,2,-2,1,1,2,2]]],[[[1,1,2,1],[1,1,2,-1,3,2,2,1,3,1]],[[2,
1,1,1,2,1],[3,2,2,1,1,1]],[[1,1,2,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,3,2,2,1,1,1,
3,-1]],[[1,1,2,-2,1,1,2,2,1,1]],[[2,1,1,1,2,-1,1,1,2,1]]],[[[2,2,1,1,2,-1,1,1,
2,-1,1,1,2,1]],[[1,1,2,1,1,1,2,-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]]],[[[2,2,1,1,2,-1,1,1,2,-1,1,1,2,1]],[[2,1,1,1],[1,1,2,-1,3,
-2,2,-1]],[[1,1]]],[[[2,1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,-1]]],[[[
2,1,1,1],[1,1,2,-1,3,-2,2,-1]],[[1,1,2,1],[3,-2]],[[2,1,1,1,2,-1]]],[[[1,1,2,
1],[3,1,2,1,3,1,1,1,3,-1]],[[2,-1]]],[[[2,-2,1,1,2,1,1,1]],[[1,1,2,1],[3,
-2]]],[[[1,1,2,-1,1,1,2,1,1,1]],[[1,1,2,1],[3,-2]],[[2,1,1,1,2,-1]]],[[[2,1,1,
1],[3,2,2,-2]],[[1,1,2,1]]],[[[2,2,1,1,2,-1,1,1,2,-1,1,1,2,1]],[[2,1,1,1,2,
1],[3,2,2,1,1,1]],[[1,1,2,1],[3,1,2,1,1,1,2,1,3,1]],[[1,1,2,1],[2,2,3,2]]],[[[
1,1,2,-1,1,1,2,2,1,1]],[[2,1]]],[[[2,1,1,1,2,-1]],[[1,1,2,1]]],[[[1,1,2,1],[2,
1,1,1],[3,1,4,-1,2,-1,4,-1,3,1,1,1,4,1]],[[2,2]]],[[[1,1]],[[2,1]]]]);


AFLT( "2^4:S5`","M22",[1,2,2,2,3,4,6,5,7,5,4,8,4,8,9,5,6,9,7,10,12,11,12,14,
16,15,19,19,17,22,21,16,20,23,23,21,20,25,22,18,15,23,24,24,24,27,33,30,32,31,
34,32,36,39,40,38,41,47,45,42,50,44,46,48,51,45,43,49,52,42,43,44,46,53,51,54,
56,59,60,61,64,66,65,62,70,73,71,76,69,78,72,74,77,75,73,79,80,72,87,88,86,89,
92,97,96,98,104,107,108,106,102,105,103,111,117,114,115,119,116,120,121,122,
124,132,135,137,143,147,151] );

AFLT( "2^4:S5`","L3(4).2_2",[1,3,2,3,4,5,6,5,9,7,7,10,8,13,12,8,11,13,11,14,
17,16,15,20,21,22,23,26,25,27,24,19,28,34,29,32,26,30,35,31,22,33,29,36,34,38,
39,40,41,41,43,42,44,46,48,47,49,50,52,51,53,55,62,58,60,56,57,54,61,59,59,63,
56,66,65,64,69,74,76,73,79,79,71,78,80,83,87,82,85,84,86,88,91,89,90,93,92,81,
98,100,99,102,103,106,104,107,109,111,110,115,112,113,114,120,126,121,123,127,
125,129,128,131,134,137,139,141,145,147,149] );

AFLT( "2^4:S5`","L3(4).2_2",[1,3,2,3,4,5,7,6,8,5,6,10,9,13,12,9,11,13,11,14,
17,16,15,19,22,21,23,24,25,27,26,20,28,34,35,32,24,30,29,31,21,33,34,36,35,38,
40,41,41,39,42,43,44,47,48,46,49,52,50,51,53,59,58,62,60,54,57,56,61,55,55,63,
54,66,65,64,69,72,71,75,79,76,79,77,81,88,86,82,85,84,87,83,91,90,89,93,92,80,
99,100,98,102,101,104,105,108,109,111,110,113,114,115,112,119,122,124,125,127,
123,128,130,131,133,137,138,140,145,148,150] );

AFLT( "2^4:S6","M22.2",[1,2,3,3,4,2,5,5,17,10,9,12,17,18,15,6,15,11,13,15,8,
11,11,14,16,8,7,10,12,13,6,11,14,14,19,20,21,23,20,24,22,24,22,27,29,26,38,28,
44,31,41,30,67,29,52,58,43,67,42,63,46,45,40,66,32,35,48,36,32,34,67,37,53,64,
28,54,35,42,46,49,39,34,61,30,55,35,60,33,56,47,59,62,55,64,53,51,63,55,58,65,
48,49,61,54,37,37,50,57,68,70,73,78,74,75,74,76,76,85,82,86,81,80,79,77,84,83,
84,88,99,89,90,94,105,91,100,134,106,129,128,108,101,107,133,125,95,114,115,
92,93,111,116,113,147,150,126,136,127,139,145,96,135,130,102,138,142,112,143,
117,153,104,131,118,110,109,140,137,98,103,132,97,154,136,111,126,92,141,159,
141,93,97,157,130,119,120,116,141,146,121,110,122,151,144,158,149,161,156,155,
160,148,152,121,124,118,119,120,123,162,163,163,166,169,170,181,188,185,183,
175,177,182,176,171,184,190,172,186,178,186,171,189,173,175,178,194,193,183,
173,191,192,195,187,180,218,197,201,205,196,220,217,236,233,230,243,211,198,
226,247,245,207,237,248,208,225,219,224,222,202,229,216,234,240,257,252,199,
203,223,267,244,265,260,204,206,253,241,213,231,209,238,263,258,261,200,215,
221,256,255,210,214,232,235,251,264,262,239,227,228,242,249,212,250,246,254,
259,203,213,268,232,266,209,269,272,270,273,273,278,276,281,279,277,297,295,
285,283,284,286,288,282,289,280,296,300,299,287,290,291,292,298,301,293,293,
292,305,304,304,307,312,308,311,310,340,331,334,328,316,339,327,336,342,309,
321,329,324,322,348,343,323,315,314,338,313,346,330,318,341,325,335,347,332,
333,345,317,320,349,351,319,352,350,344,326,337,356,353,358,354,360,361,362,
368,382,364,369,379,365,378,381,375,377,371,374,376,367,380,383,370,384,388,
387,387,391,390,395,401,404,398,403,402,392,399,396,397,400,394,393,405,406,
409,423,419,420,422,418,417,416,421,433,426,431,432,434,435,437,436,440,446,
445,453,456,452,449,448,457,455,451,454,450,460,461,459,465,464,469,468,471,
472,473,478,481,485,486] );

AFLT( "2^5:S5","M22.2",[1,4,3,2,3,2,2,4,5,17,15,12,10,8,17,11,12,13,6,17,9,10,
7,6,9,11,13,14,18,16,15,13,8,7,11,16,11,14,14,19,22,21,24,24,20,22,23,29,67,
26,32,44,30,28,27,41,31,34,63,41,28,31,66,29,35,48,38,42,43,46,58,30,45,44,40,
64,40,43,55,27,64,58,49,55,56,48,49,39,54,54,61,61,62,64,44,45,42,63,61,32,49,
46,55,67,35,53,53,53,37,52,60,33,59,54,47,66,51,65,56,36,57,50,54,37,51,65,70,
69,71,74,76,77,76,85,81,79,84,83,84,83,75,89,88,99,91,100,107,93,129,133,101,
92,108,95,114,125,115,90,106,134,94,128,136,127,125,134,107,139,132,93,117,98,
147,110,129,116,143,105,142,131,130,114,96,95,109,135,137,153,138,108,118,103,
126,104,140,150,112,102,111,113,97,145,118,126,119,135,159,146,132,127,116,
121,143,112,103,119,146,119,122,158,121,144,111,122,107,113,120,110,138,140,
134,155,141,142,145,97,146,122,121,144,120,152,160,104,96,144,161,147,120,151,
156,148,154,157,149,123,124,165,164,166,182,172,176,171,183,185,175,179,178,
173,186,187,174,173,180,189,196,218,205,206,220,215,229,233,230,216,197,222,
245,224,225,202,236,234,198,237,219,247,208,207,248,243,226,211,201,217,242,
242,225,242,217,198,229,235,250,221,239,249,213,203,232,240,234,210,199,209,
252,231,254,202,262,214,246,227,264,238,257,241,236,244,265,226,256,205,263,
223,253,228,267,251,261,212,204,200,258,260,255,244,266,200,250,253,203,268,
199,227,210,269,259,274,277,276,281,280,286,291,282,296,289,288,292,293,294,
306,305,310,320,312,322,316,336,313,338,311,308,314,324,323,325,329,340,341,
347,330,345,331,333,309,343,328,327,315,348,332,335,346,339,318,342,334,321,
319,316,344,309,326,341,351,317,352,343,349,337,350,359,372,366,364,373,371,
365,363,367,362,378,377,374,376,370,383,389,388,390,394,396,398,391,403,397,
392,402,404,400,401,395,393,399,410,408,411,420,429,427,430,428,431,424,425,
426,432,434,441,439,438,450,451,457,458,462,468,470,479,477,480,484] );

AFLT( "2^4.S6","U4(3).2_1",[1,3,2,4,3,8,6,9,13,15,10,17,16,10,13,11,14,13,15,
12,18,19,14,17,12,10,16,19,20,27,33,21,23,35,24,31,29,43,41,43,38,51,50,42,48,
49,58,59,39,56,41,52,55,47,50,49,51,48,44,46,48,67,60,68,59,44,61,52,57,53,60,
40,55,54,63,39,62,60,42,65,66,64,45,62,61,64,66,60,76,81,83,105,83,85,94,107,
87,110,99,89,93,103,87,86,97,101,113,114,124,130,115,125,117,130,135,116,139,
140,136,128,133,131,137,138,147,150,149,148,155,126,148,145,154,161,143,146,
142,144,152,129,137,156,151,149,135,132,139,153,118,157,158,120,141,134,127,
147,133,119,162,171,152,155,168,127,169,156,158,151,129,122,153,119,120,165,
166,167,170,144,137,121,147,145,164,163,123,172,121,142,121,160,159,180,200,
199,209,215,227,218,232,227,228,219,213,248,243,233,221,246,251,236,218,230,
222,219,224,223,221,275,281,282,280,277,294,307,295,298,299,285,278,283,302,
311,287,310,293,301,276,300,305,308,288,284,292,306,286,331,281,324,289,299,
329,332,302,313,309,279,283,320,316,276,290,319,325,328,303,334,304,287,308,
314,293,285,327,326,296,312,304,315,304,323,322,321,317,291,297,330,335,337,
323,333,336,318,322,313,296,372,344,351,358,383,386,393,396,384,403,404,388,
391,406,399,391,397,403,409,382,393,413,405,401,420,470,468,471,473,474,476,
477,483,502,492,500,486,508,509,505,488,475,487,479,497,484,496,498,478,501,
485,493,503,494,499,491,504,480,481,506,482,507,489,490,510,481,479,514,497,
512,513,494,511,495,524,542,535,522,544,560,567,564,588,585,568,569,594,592,
579,583,566,581,570,577,593,586,583,590,597,644,645,641,650,648,654,658,656,
651,660,659,652,649,653,661,662,657,655,663,669,674,717,713,704,716,711,707,
705,714,728,726,727,729,769,771,776,773,778,802,812,814,817,808,815,816,819,
811,804,807,848,850,852,883,882,888,890,907,923,921,957,965] );

AFLT( "2^4.S6","U4(3).2_1",[1,3,2,4,3,7,6,9,13,14,10,18,16,10,13,11,15,13,14,
12,17,19,15,18,12,10,16,19,20,28,34,22,23,36,25,31,29,42,41,42,38,51,50,43,49,
48,57,59,39,56,41,52,55,47,50,48,51,49,44,45,49,67,60,68,59,44,62,52,58,53,60,
40,55,54,63,39,61,60,43,65,66,64,46,61,62,64,66,60,77,81,84,104,84,86,95,108,
87,109,98,90,92,102,87,85,96,101,114,113,124,131,116,125,117,131,135,115,140,
139,136,128,133,130,138,137,148,150,149,147,156,127,147,146,153,161,144,145,
141,143,152,129,138,155,151,149,135,132,140,154,118,157,158,120,142,134,126,
148,133,119,162,171,152,156,168,126,169,155,158,151,129,122,154,119,120,165,
166,167,170,143,138,121,148,146,164,163,123,172,121,141,121,160,159,179,201,
198,209,216,226,217,231,226,229,220,214,249,244,234,221,245,250,235,217,230,
222,220,223,224,221,275,282,281,280,278,294,308,295,298,300,286,277,284,301,
311,288,310,293,302,276,299,305,307,287,283,292,306,285,331,282,323,290,300,
329,332,301,312,309,279,284,319,316,276,289,320,326,328,304,334,303,288,307,
314,293,286,327,325,296,313,303,315,303,324,321,322,317,291,297,330,335,337,
324,333,336,318,321,312,296,373,345,350,359,384,385,394,395,383,402,404,387,
392,407,400,392,398,402,410,381,394,412,405,401,421,470,469,471,472,474,475,
478,483,502,491,500,485,509,508,506,487,476,488,480,496,484,497,498,477,501,
486,494,503,493,499,492,504,479,482,505,481,507,490,489,510,482,480,514,496,
512,513,493,511,495,525,541,536,521,545,561,568,563,587,586,567,570,594,592,
580,584,565,582,569,578,593,585,584,591,597,644,645,640,649,648,653,658,656,
652,661,659,651,650,654,660,662,657,655,664,668,675,718,712,703,716,710,708,
706,715,727,725,728,729,769,772,775,774,779,803,812,813,818,809,815,816,820,
810,805,806,849,851,853,883,881,887,889,908,924,922,958,966] );

AFLT( "2^4.S6","HS",[1,2,2,3,2,4,4,5,8,9,6,11,8,6,8,6,8,9,8,7,11,12,9,12,6,7,
9,11,15,16,20,17,18,19,18,20,18,23,22,22,36,29,27,23,28,28,38,43,36,43,23,30,
27,29,28,28,29,27,24,26,30,49,43,49,43,24,45,28,38,32,43,37,28,31,42,36,45,43,
23,41,44,46,26,45,44,43,45,46,50,54,58,62,60,61,68,63,60,69,66,70,67,64,61,60,
65,68,73,73,79,76,74,80,101,75,97,74,109,109,96,81,75,76,108,108,85,84,87,85,
90,83,85,111,92,117,112,111,110,112,89,82,109,90,88,85,97,77,108,92,102,86,87,
102,110,97,83,87,76,101,117,124,90,89,130,83,129,90,85,85,82,105,92,101,102,
131,131,130,129,111,110,102,88,112,115,116,106,124,102,108,102,95,93,134,136,
135,139,147,153,148,157,155,154,149,161,163,166,158,151,164,162,165,150,155,
151,151,152,151,152,175,180,180,172,178,185,198,186,196,200,183,178,181,199,
189,182,188,194,200,175,199,209,198,182,181,193,209,183,229,183,212,184,201,
223,229,201,192,197,179,182,232,214,175,184,232,213,221,201,202,201,181,198,
191,194,180,221,213,187,192,200,190,199,212,211,211,214,194,173,223,204,235,
211,228,235,215,212,192,187,245,239,243,242,254,255,259,261,254,266,257,256,
260,269,263,265,262,267,270,277,264,278,258,264,279,288,290,289,290,296,300,
301,298,324,314,308,315,318,318,305,317,302,315,300,332,299,332,320,303,324,
317,342,340,342,320,316,340,302,301,306,303,313,314,316,338,303,302,346,332,
328,345,342,331,343,363,360,361,359,364,367,371,369,383,385,372,371,373,381,
375,376,370,382,372,374,381,385,377,388,384,396,395,397,406,405,413,419,420,
413,425,420,414,406,414,425,407,419,409,429,437,439,454,447,452,446,448,449,
451,453,461,460,461,458,481,483,484,485,491,498,502,508,505,504,509,509,506,
503,507,510,522,523,521,543,544,545,546,550,565,566,574,579] );

AFLT( "2^4:S5","A10",[1,3,2,2,3,3,5,10,7,8,15,11,13,14,16,9,9,13,11,9,13,10,
12,15,11,16,13,18,20,26,23,26,23,27,22,30,29,44,36,32,45,33,32,35,39,38,49,34,
48,31,47,46,37,33,40,43,41,43,42,38,46,47,37,34,43,49,36,31,50,33,40,39,59,62,
71,83,77,68,72,81,78,66,78,79,73,77,86,88,89,95,104,91,87,101,107,99,97,105,
102,108,96,94,98,92,106,109,90,93,100,103,110,106,92,98,100,93,94,112,111,128,
137,145,134,145,147,138,137,154,150,159,157,152,148,162,155,163,142,143,172,
173,178,179,182,176,180,183,185,175,181,177,184,187,174,186,188,230,232,218,
222,219,226,223,227,226,223,224,235,228,233,246,253,256,258,255,254,257,259,
285,295,304,296,290,303,291,300,298,316,322,335,343,344,342,346,371,380,403,
415] );

AFLT( "2^4:S5","U4(2).2",[1,3,4,2,5,4,7,10,9,12,11,14,17,18,13,14,12,15,22,17,
16,21,20,19,9,18,22,23,24,35,36,32,28,34,29,41,41,40,44,43,45,42,48,55,56,57,
51,54,50,53,45,52,49,46,56,66,64,58,68,62,61,50,59,69,65,67,63,47,60,53,55,64,
75,77,85,83,84,88,86,87,90,77,95,81,96,82,99,101,103,108,105,104,100,106,107,
109,112,114,119,113,111,116,121,118,105,117,110,120,108,115,102,114,122,125,
109,126,124,127,123,147,152,151,150,160,162,164,158,167,173,175,169,174,162,
168,171,154,150,164,180,181,186,184,187,185,182,183,193,186,182,188,194,190,
192,189,191,216,221,219,215,218,222,220,233,226,225,224,235,233,238,247,250,
252,251,255,249,253,254,265,268,275,278,276,274,277,270,272,295,297,300,308,
305,307,310,325,330,343,348] );

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

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