GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
#############################################################################
##
#W tmlinomx.tom GAP table of marks library Thomas Merkwitz
##
#H @(#)$Id: tmlinomx.tom,v 4.2 2001/07/05 07:02:26 gap Exp $
##
#Y Copyright (C) 1997, Lehrstuhl D fuer Mathematik, RWTH Aachen, Germany
##
## This file contains the tables of marks of maximal subgroups of $Lp(q)$
## where p doesn't equal $2$.
##
#H tomlib history
#H --------------
#H $Log: tmlinomx.tom,v $
#H Revision 4.2 2001/07/05 07:02:26 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/tmlinomx.tom,v
#H Working file: tmlinomx.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 11:52:04; author: gap; state: Exp; lines: +2 -2
#H changed revision number to 4.1
#H ----------------------------
#H revision 1.1
#H date: 1997/11/19 13:20:06; author: gap; state: Exp;
#H added new table of marks library files
#H ==========================================================================
#H
Revision.tmlinomx_tom :=
"@(#)$Id: tmlinomx.tom,v 4.2 2001/07/05 07:02:26 gap Exp $";
SetActualLibFileName("tmlinomx");
LIBTOM( "5^2:GL2(5)",
[[1],[1,2],[1,3],[1,4],[1,2,5],[1,3,6],[1,2,3,7],[1,2,8],[1,3,9],[1,10],[1,
11],[1,12],[1,2,4,13],[1,3,4,14],[1,2,8,15],[1,2,5,16],[1,2,3,5,7,8,17],[1,2,
3,7,8,18],[1,2,3,6,7,9,19],[1,3,10,20],[1,3,11,21],[1,2,10,22],[1,3,12,23],[1,
3,10,24],[1,2,11,25],[1,3,11,26],[1,2,3,4,7,13,14,27],[1,2,4,5,13,28],[1,2,4,
8,13,29],[1,2,3,5,7,8,15,17,18,30],[1,2,3,5,6,7,8,9,17,19,31],[1,2,3,5,7,8,16,
17,32],[1,3,6,10,20,33],[1,3,6,11,21,34],[1,2,5,10,22,35],[1,2,8,10,22,36],[1,
2,3,7,10,20,22,24,37],[1,2,8,11,25,38],[1,3,6,11,26,39],[1,2,5,11,25,40],[1,3,
6,10,24,41],[1,3,9,10,24,42],[1,3,9,10,20,43],[1,3,9,11,26,44],[1,2,3,7,11,21,
25,26,45],[1,3,9,11,21,46],[1,3,9,12,23,47],[1,2,4,8,13,15,48],[1,2,4,5,13,16,
28,49],[1,2,4,5,13,16,28,50],[1,2,3,4,5,7,8,13,14,17,27,28,29,51],[1,10,52],[
1,10,11,53],[1,10,12,54],[1,2,3,5,6,7,8,9,15,16,17,18,19,30,31,32,55],[1,2,3,
6,7,9,11,19,21,25,26,39,44,45,56],[1,2,3,6,7,9,11,19,21,25,26,34,45,46,57],[1,
2,3,5,7,8,11,17,21,25,26,38,40,45,58],[1,2,3,6,7,9,10,19,20,22,24,33,37,43,
59],[1,2,3,5,7,8,10,17,20,22,24,35,36,37,60],[1,2,3,6,7,9,10,19,20,22,24,37,
41,42,61],[1,2,3,4,5,7,8,13,15,17,18,28,30,48,62],[1,2,3,4,5,7,8,13,14,16,17,
27,28,29,32,49,50,51,63],[1,2,10,22,52,64],[1,3,10,11,20,26,53,65],[1,3,10,11,
21,24,53,66],[1,3,10,20,24,52,67],[1,2,10,11,22,25,53,68],[1,3,10,12,23,24,54,
69],[1,4,10,52,70],[1,2,3,5,6,7,8,9,10,17,19,20,22,24,31,33,35,36,37,41,42,43,
59,60,61,71],[1,2,3,5,6,7,8,9,11,17,19,21,25,26,31,34,38,39,40,44,45,46,56,57,
58,72],[1,2,3,4,5,6,7,8,9,13,15,16,17,18,19,28,30,31,32,48,50,55,62,73],[1,2,
5,10,22,35,52,64,74],[1,3,6,10,11,20,26,33,39,53,65,75],[1,2,3,7,10,20,22,24,
37,52,64,67,76],[1,2,8,10,22,36,52,64,77],[1,2,3,7,10,11,20,21,22,24,25,26,37,
45,53,65,66,68,78],[1,2,8,10,11,22,25,36,38,53,68,79],[1,3,6,10,11,21,24,34,
41,53,66,80],[1,2,5,10,11,22,25,35,40,53,68,81],[1,3,9,10,11,21,24,42,46,53,
66,82],[1,3,9,10,20,24,42,43,52,67,83],[1,3,9,10,11,20,26,43,44,53,65,84],[1,
3,6,10,20,24,33,41,52,67,85],[1,3,9,10,12,23,24,42,47,54,69,86],[1,2,4,8,11,
13,15,25,29,38,48,87],[1,10,11,12,52,53,54,88],[1,2,4,10,13,22,52,64,70,89],[
1,3,4,10,14,20,24,52,67,70,90],[1,2,8,10,15,22,36,52,64,77,91],[1,2,5,10,16,
22,35,52,64,74,92],[1,2,3,7,8,10,18,20,22,24,36,37,52,64,67,76,77,93],[1,2,3,
5,7,8,10,17,20,22,24,35,36,37,52,60,64,67,74,76,77,94],[1,2,3,6,7,9,10,11,19,
20,21,22,24,25,26,34,37,41,42,45,46,53,57,61,65,66,68,78,80,82,95],[1,2,3,5,7,
8,10,11,17,20,21,22,24,25,26,35,36,37,38,40,45,53,58,60,65,66,68,78,79,81,
96],[1,2,3,6,7,9,10,19,20,22,24,33,37,41,42,43,52,59,61,64,67,76,83,85,97],[1,
2,3,6,7,9,10,11,19,20,21,22,24,25,26,33,37,39,43,44,45,53,56,59,65,66,68,75,
78,84,98],[1,2,3,4,5,7,8,11,13,14,15,17,18,21,25,26,27,28,29,30,38,40,45,48,
51,58,62,87,99],[1,3,10,11,12,20,24,26,52,53,54,65,67,88,100],[1,3,10,11,12,
20,21,23,24,52,53,54,66,67,69,88,101],[1,2,10,11,12,22,25,52,53,54,64,68,88,
102],[1,2,4,5,10,13,22,28,35,52,64,70,74,89,103],[1,2,4,8,10,13,22,29,36,52,
64,70,77,89,104],[1,2,3,4,7,10,13,14,20,22,24,27,37,52,64,67,70,76,89,90,
105],[1,2,3,5,7,8,10,15,17,18,20,22,24,30,35,36,37,52,60,64,67,74,76,77,91,93,
94,106],[1,2,3,5,6,7,8,9,10,17,19,20,22,24,31,33,35,36,37,41,42,43,52,59,60,
61,64,67,71,74,76,77,83,85,94,97,107],[1,2,3,5,7,8,10,16,17,20,22,24,32,35,36,
37,52,60,64,67,74,76,77,92,94,108],[1,2,3,5,6,7,8,9,10,11,17,19,20,21,22,24,
25,26,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,53,56,57,58,59,60,61,65,66,
68,71,72,75,78,79,80,81,82,84,95,96,98,109],[1,2,3,4,5,6,7,8,9,11,13,14,15,16,
17,18,19,21,25,26,27,28,29,30,31,32,34,38,39,40,44,45,46,48,49,50,51,55,56,57,
58,62,63,72,73,87,99,110],[1,2,5,10,11,12,22,25,35,40,52,53,54,64,68,74,81,88,
102,111],[1,2,8,10,11,12,22,25,36,38,52,53,54,64,68,77,79,88,102,112],[1,2,3,
7,10,11,12,20,21,22,23,24,25,26,37,45,52,53,54,64,65,66,67,68,69,76,78,88,100,
101,102,113],[1,3,6,10,11,12,20,24,26,33,39,41,52,53,54,65,67,75,85,88,100,
114],[1,3,6,10,11,12,20,21,23,24,33,34,41,52,53,54,66,67,69,80,85,88,101,
115],[1,3,9,10,11,12,20,21,23,24,42,43,46,47,52,53,54,66,67,69,82,83,86,88,
101,116],[1,3,9,10,11,12,20,24,26,42,43,44,52,53,54,65,67,83,84,88,100,117],[
1,2,4,8,10,13,15,22,36,48,52,64,70,77,89,91,118],[1,2,4,5,10,13,16,22,28,35,
50,52,64,70,74,89,92,103,119],[1,2,4,5,10,13,16,22,28,35,49,52,64,70,74,89,92,
103,120],[1,2,3,4,5,7,8,10,13,14,17,20,22,24,27,28,29,35,36,37,51,52,60,64,67,
70,74,76,77,89,90,94,103,104,105,121],[1,2,3,5,6,7,8,9,10,15,16,17,18,19,20,
22,24,30,31,32,33,35,36,37,41,42,43,52,55,59,60,61,64,67,71,74,76,77,83,85,91,
92,93,94,97,106,107,108,122],[1,2,3,5,7,8,10,11,12,17,20,21,22,23,24,25,26,35,
36,37,38,40,45,52,53,54,58,60,64,65,66,67,68,69,74,76,77,78,79,81,88,94,96,
100,101,102,111,112,113,123],[1,2,3,6,7,9,10,11,12,19,20,21,22,23,24,25,26,33,
37,39,41,42,43,44,45,52,53,54,56,59,61,64,65,66,67,68,69,75,76,78,83,84,85,88,
97,98,100,101,102,113,114,117,124],[1,2,3,6,7,9,10,11,12,19,20,21,22,23,24,25,
26,33,34,37,41,42,43,45,46,47,52,53,54,57,59,61,64,65,66,67,68,69,76,78,80,82,
83,85,86,88,95,97,100,101,102,113,115,116,125],[1,2,3,4,5,7,8,10,13,15,17,18,
20,22,24,28,30,35,36,37,48,52,60,62,64,67,70,74,76,77,89,91,93,94,103,106,118,
126],[1,2,3,4,5,7,8,10,13,14,16,17,20,22,24,27,28,29,32,35,36,37,49,50,51,52,
60,63,64,67,70,74,76,77,89,90,92,94,103,104,105,108,119,120,121,127],[1,2,3,5,
6,7,8,9,10,11,12,17,19,20,21,22,23,24,25,26,31,33,34,35,36,37,38,39,40,41,42,
43,44,45,46,47,52,53,54,56,57,58,59,60,61,64,65,66,67,68,69,71,72,74,75,76,77,
78,79,80,81,82,83,84,85,86,88,94,95,96,97,98,100,101,102,107,109,111,112,113,
114,115,116,117,123,124,125,128],[1,2,3,4,5,6,7,8,9,10,13,15,16,17,18,19,20,
22,24,28,30,31,32,33,35,36,37,41,42,43,48,50,52,55,59,60,61,62,64,67,70,71,73,
74,76,77,83,85,89,91,92,93,94,97,103,106,107,108,118,119,122,126,129],[1,2,4,
8,10,11,12,13,15,22,25,29,36,38,48,52,53,54,64,68,70,77,79,87,88,89,91,102,
104,112,118,130],[1,2,3,4,5,7,8,10,11,12,13,14,15,17,18,20,21,22,23,24,25,26,
27,28,29,30,35,36,37,38,40,45,48,51,52,53,54,58,60,62,64,65,66,67,68,69,70,74,
76,77,78,79,81,87,88,89,90,91,93,94,96,99,100,101,102,103,104,105,106,111,112,
113,118,121,123,126,130,131],[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]],
0,[[1],[1,1],[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],[1,3,1,1],[1,1,3,1],[1,1,1,1],[1,1,2,1,1,1,1],[1,1,4,2,1,
1],[1,1,2,1,1,1,1],[1,5,1,1],[1,5,1,1],[1,5,1,1],[1,5,1,1],[1,1,1,1],[1,1,1,
1],[1,5,1,1],[1,1,6,1,3,1,2,1],[1,1,1,1,1,1],[1,1,1,3,1,1],[1,1,6,1,3,3,1,3,3,
1],[1,1,2,1,2,1,1,2,1,2,1],[1,1,2,1,1,1,2,1,1],[1,5,5,1,1,1],[1,5,5,1,1,1],[1,
5,5,1,1,1],[1,5,5,1,1,1],[1,5,6,5,1,1,1,1,1],[1,1,5,1,1,1],[1,5,5,1,1,1],[1,1,
1,1,1,1],[1,1,1,1,1,1],[1,1,5,1,1,1],[1,5,5,1,1,1],[1,5,5,1,1,1],[1,1,10,5,1,
1,1,1,1],[1,5,5,1,1,1],[1,5,5,1,1,1],[1,1,4,3,4,1,1],[1,1,1,1,1,1,1,1],[1,1,1,
1,1,3,1,1],[1,1,6,1,1,3,3,1,2,3,1,1,1,1],[1,6,1],[1,1,5,1],[1,1,5,1],[1,1,6,1,
2,3,3,2,1,2,3,3,2,1,1,1,1],[1,1,10,5,5,5,1,5,1,1,1,1,1,1,1],[1,1,10,5,5,5,1,5,
1,1,1,1,1,1,1],[1,1,10,1,5,5,1,5,1,1,1,1,1,1,1],[1,5,6,5,5,5,1,5,1,1,1,1,1,1,
1],[1,5,6,5,5,5,1,5,1,1,1,1,1,1,1],[1,5,6,1,5,5,1,5,1,1,1,1,1,1,1],[1,1,6,4,1,
3,3,4,1,3,3,4,1,1,1],[1,1,6,1,1,3,3,1,2,4,3,1,1,1,3,1,1,1,1],[1,25,6,30,1,1],[
1,25,1,5,5,25,1,1],[1,5,1,5,1,5,1,1],[1,5,6,1,5,1,1],[1,5,1,5,1,5,1,1],[1,5,1,
5,1,5,1,1],[1,25,6,1,1],[1,5,6,5,6,5,5,10,1,5,10,1,1,1,5,1,1,1,1,1,1,1,1,1,1,
1],[1,1,10,1,10,5,5,10,1,5,10,1,1,1,5,1,1,1,1,1,1,1,1,1,1,1],[1,1,6,4,1,6,3,3,
6,4,1,6,3,3,6,4,1,3,3,1,4,3,1,1],[1,25,25,6,30,30,1,1,1],[1,25,25,1,5,5,25,5,
25,1,1,1],[1,25,10,25,6,2,30,10,10,1,1,2,1],[1,25,25,6,30,10,1,1,1],[1,5,30,
25,1,5,5,1,1,5,5,25,5,5,1,1,1,1,1],[1,5,25,1,5,1,5,5,5,1,1,1],[1,5,5,1,5,1,5,
1,5,1,1,1],[1,5,5,1,5,1,5,1,5,1,1,1],[1,5,25,1,5,1,5,5,5,1,1,1],[1,5,25,6,1,5,
5,5,1,1,1],[1,25,25,1,5,5,25,5,5,1,1,1],[1,5,5,6,1,5,1,5,1,1,1],[1,5,25,1,5,1,
5,5,5,1,1,1],[1,1,10,15,6,10,5,6,10,6,5,1],[1,6,5,20,1,1,4,1],[1,25,25,6,25,
30,1,1,1,1],[1,15,25,6,25,3,15,1,3,1,1],[1,25,75,6,25,30,30,1,1,3,1],[1,25,25,
6,25,30,30,1,1,1,1],[1,25,20,50,25,6,25,4,30,20,10,20,1,1,4,2,1,1],[1,25,10,
25,25,25,6,25,2,30,10,30,10,10,1,10,1,2,1,1,1,1],[1,5,30,5,25,25,1,5,25,5,1,1,
5,5,25,1,5,5,5,5,5,1,5,5,1,1,1,1,1,1,1],[1,5,30,5,25,25,1,5,25,5,1,1,5,5,25,1,
5,5,5,5,5,1,5,5,1,1,1,1,1,1,1],[1,25,10,5,25,25,6,25,2,30,10,1,10,5,5,5,1,5,5,
1,2,1,1,1,1],[1,5,30,25,25,25,1,5,25,5,1,1,5,5,25,5,5,25,5,5,5,1,5,5,1,1,1,1,
1,1,1],[1,1,30,10,1,15,15,6,10,20,5,15,15,6,6,6,10,10,10,5,6,6,6,5,10,6,5,1,
1],[1,25,6,5,20,5,25,25,1,1,4,1,5,1,1],[1,25,6,5,20,5,5,20,25,1,1,4,5,5,20,1,
1],[1,25,6,5,20,30,25,1,1,4,1,5,1,1],[1,25,25,25,6,25,30,25,30,1,1,1,1,1,1],[
1,25,25,75,6,25,30,25,30,1,1,1,3,1,1],[1,25,30,25,75,6,25,50,6,30,30,25,30,1,
1,6,1,3,1,2,1],[1,25,30,25,75,75,6,25,75,75,6,30,30,25,30,30,30,1,30,1,6,1,3,
3,1,3,3,1],[1,25,10,25,10,25,25,50,6,25,50,2,30,10,25,2,30,10,10,10,10,10,1,
10,10,10,1,2,10,1,1,1,2,2,1,2,1],[1,25,10,25,25,25,6,50,25,2,30,10,25,30,10,
10,1,10,1,2,1,1,1,2,1,1],[1,5,30,5,30,25,25,50,1,5,25,50,5,1,1,5,5,25,25,5,1,
1,5,5,5,25,5,5,5,5,5,5,5,1,5,5,5,5,5,5,1,1,1,5,5,1,1,1,1,1,1,1,1,1,1,1],[1,1,
30,10,1,30,15,15,30,6,10,20,5,10,15,15,30,6,6,6,10,10,10,5,15,15,6,6,6,6,6,6,
6,5,10,10,10,15,6,6,6,5,10,6,5,1,1,1],[1,25,25,6,5,20,30,25,30,25,1,1,4,1,5,1,
5,1,1,1],[1,25,125,6,5,20,30,25,50,25,1,1,4,1,5,5,5,1,1,1],[1,25,50,125,6,5,
20,10,5,30,20,50,25,25,50,25,1,1,4,1,1,5,10,5,20,5,5,1,1,1,1,1],[1,25,25,6,5,
20,5,25,25,5,25,25,1,1,4,1,5,1,5,1,1,1],[1,25,25,6,5,20,5,5,20,25,5,5,25,1,1,
4,5,5,20,5,5,1,1,1],[1,25,125,6,5,20,5,5,20,25,25,25,25,100,1,1,4,5,5,20,5,5,
20,1,1,1],[1,25,125,6,5,20,5,25,25,25,25,25,1,1,4,1,5,5,5,1,1,1],[1,25,100,75,
6,100,25,30,30,25,1,1,4,3,4,1,1],[1,25,25,25,6,25,75,30,25,30,25,1,1,1,1,1,3,
1,1],[1,25,25,25,6,25,25,30,25,30,25,1,1,1,1,1,1,1,1],[1,25,30,25,25,75,75,6,
25,50,75,6,30,30,25,25,25,30,30,30,25,1,30,1,6,1,1,3,3,1,2,3,1,1,1,1],[1,25,
30,25,10,75,75,50,6,25,50,75,75,50,6,30,30,25,25,25,2,30,30,30,10,10,10,1,25,
10,30,10,1,6,10,1,3,3,2,2,1,2,3,3,2,1,1,1,1],[1,25,50,25,125,125,6,5,20,125,
10,5,30,20,50,25,25,30,50,50,25,25,25,1,1,4,25,50,1,1,5,10,5,20,1,5,5,5,5,5,1,
5,5,1,1,1,1,1,1,1],[1,25,50,25,125,125,6,5,20,125,10,5,30,20,50,25,25,5,50,25,
25,25,25,25,25,1,1,4,25,25,25,1,1,5,10,5,20,1,5,5,5,5,5,1,5,5,1,1,1,1,1,1,1],[
1,25,50,25,125,125,6,5,20,125,10,5,30,20,50,25,25,5,5,50,25,25,25,25,25,100,1,
1,4,25,25,25,1,1,5,10,5,20,5,5,5,5,5,5,20,1,5,5,1,1,1,1,1,1,1],[1,25,30,100,
25,75,75,6,100,25,75,75,6,30,30,100,25,30,30,30,25,1,30,25,1,6,4,1,3,3,4,1,3,
3,4,1,1,1],[1,25,30,25,25,75,75,6,25,50,100,75,6,30,30,25,25,25,75,30,30,30,
25,25,25,1,30,25,1,6,1,1,3,3,1,2,4,3,1,1,1,3,1,1,1,1],[1,25,50,25,50,125,125,
250,6,5,20,125,250,10,5,30,20,50,25,25,125,10,5,30,50,50,25,25,25,50,50,50,25,
25,25,100,1,1,4,25,25,25,50,50,50,1,1,5,10,5,20,50,25,1,1,5,5,5,5,5,5,5,10,5,
10,20,1,5,5,5,10,5,1,1,1,5,5,1,1,1,1,1,1,1,1,1,1,1],[1,25,30,100,25,30,75,75,
150,6,100,25,150,75,75,150,6,30,30,100,25,75,75,6,30,30,30,30,30,30,25,100,1,
75,30,30,30,25,1,6,4,30,25,1,3,3,6,6,4,1,6,3,3,6,4,1,3,3,1,4,3,1,1],[1,25,250,
375,6,30,120,250,125,30,150,250,150,150,125,1,6,24,1,30,10,15,30,25,6,10,5,6,
10,6,5,1],[1,25,150,250,25,375,375,6,30,120,250,500,125,375,375,30,30,30,120,
150,150,150,250,250,250,125,30,150,150,150,150,150,125,250,1,6,24,150,150,125,
1,6,30,30,30,120,10,1,15,15,30,30,30,25,6,10,20,5,15,15,30,25,6,6,6,10,10,10,
5,6,6,6,5,10,6,5,1,1],[1,25,150,250,25,150,375,375,750,6,30,120,250,500,125,
250,375,375,750,30,30,30,120,150,150,150,250,250,250,125,375,375,30,30,30,150,
150,150,150,150,150,150,150,150,150,150,600,125,250,250,250,1,6,24,375,150,
150,150,150,150,150,125,250,1,6,30,30,30,120,10,150,150,125,1,6,15,15,30,30,
30,30,30,30,30,30,120,25,6,10,20,5,10,15,15,30,30,30,30,25,6,6,6,10,10,10,5,
15,15,30,25,6,6,6,6,6,6,6,5,10,10,10,15,6,6,6,5,10,6,5,1,1,1]],
[1,2,2,3,4,4,4,4,4,5,5,5,6,6,8,8,8,8,8,10,10,10,10,10,10,10,12,12,12,16,16,16,
20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,24,24,24,24,25,25,25,32,40,40,40,
40,40,40,48,48,50,50,50,50,50,50,75,80,80,96,100,100,100,100,100,100,100,100,
100,100,100,100,100,120,125,150,150,200,200,200,200,200,200,200,200,240,250,
250,250,300,300,300,400,400,400,400,480,500,500,500,500,500,500,500,600,600,
600,600,800,1000,1000,1000,1200,1200,2000,2400,3000,6000,12000],
[132,110,71,63,110,71,55,55,31,128,109,86,63,51,73,63,55,55,31,107,109,109,86,
71,72,72,63,63,63,73,55,55,107,109,109,71,71,72,72,72,71,71,71,72,72,72,47,73,
63,63,63,132,128,116,55,72,72,72,71,71,71,73,63,132,128,109,107,109,86,127,71,
72,73,132,128,122,122,109,109,109,109,109,107,109,107,86,110,128,127,121,129,
127,122,122,109,109,107,109,110,128,128,128,127,127,127,129,122,122,109,110,
128,128,128,128,128,128,128,129,127,127,127,122,128,128,128,129,127,128,129,
132,132,132],
[1,1,1,1,1,1,1,1,1,1,1,1,1,4,2,1,1,2,1,10,11,10,12,1,1,11,4,1,4,2,1,2,10,11,
10,10,10,11,11,1,1,10,10,11,11,11,12,15,1,4,4,1,1,1,8,11,11,11,10,10,10,15,13,
52,53,11,10,10,12,52,10,11,48,52,53,52,52,53,53,11,10,53,52,53,10,54,87,10,52,
70,64,52,64,52,53,53,52,53,87,53,88,52,52,70,70,64,52,64,53,87,52,88,88,53,88,
88,88,91,70,52,70,77,88,88,88,91,89,88,118,130,130,130],
[( 1, 2,20,13)( 3, 5,14,26)( 4, 8)( 6,12,24, 7)( 9,17,10,18)(11,23,19,30)
(16,25,22,31)(27,28),( 1, 5,27,22, 7,14,21, 2,10,29,28, 6,19, 3, 4,18,25,26,
8,30)( 9,31,12,11,20)(13,16,24,17)],
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LIBTOM( "4^2:S3",
[[1],[1,2],[1,3],[1,4],[1,2,5],[1,2,6],[1,2,7],[1,2,8],[1,2,3,9],[1,3,4,10],[
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1,2,6,16],[1,2,4,5,17],[1,2,5,6,7,12,18],[1,2,3,5,6,7,8,9,11,12,13,14,15,19],[
1,2,5,6,7,12,16,20],[1,2,3,4,5,8,9,10,15,17,21],[1,2,3,5,6,7,8,9,11,12,13,14,
15,16,18,19,20,22],[1,2,4,5,6,7,12,17,18,23],[1,2,3,4,5,6,7,8,9,10,11,12,13,
14,15,16,17,18,19,20,21,22,23,24]],
0,[[1],[1,1],[1,1],[1,1],[1,3,1],[1,1,1],[1,1,1],[1,1,1],[1,1,2,1],[1,3,1,1],[
1,1,4,1,2,1],[1,3,1,1,1,1],[1,1,1,2,1],[1,1,2,1,1,1,1],[1,3,2,1,1,1,1],[1,1,1,
1],[1,3,4,1,1],[1,3,1,3,3,3,1],[1,3,4,1,1,1,2,2,1,1,1,2,2,1],[1,3,1,1,1,1,2,
1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,4,1,3,3,2,2,1,3,1,2,2,2,1,1,1,1],[1,3,16,1,3,
3,3,4,1,1],[1,3,12,16,1,3,3,6,6,16,3,3,3,6,6,6,4,1,3,3,4,3,1,1]],
[1,2,2,3,4,4,4,4,4,6,8,8,8,8,8,8,12,16,16,16,24,32,48,96],
[24,22,14,10,24,22,22,19,19,10,22,22,22,19,19,20,21,24,22,22,21,22,24,24],
[1,1,1,1,1,1,1,1,1,4,2,1,2,1,2,1,5,1,2,2,17,7,18,23],
[( 1, 7,16)( 2,29,15)( 3,22,25)( 4,24, 8)( 5,30,13)( 6,28,14)(10,11,27)
(12,23,17)(18,31,26)(19,21,20),( 1, 7,23,31,11,27,18,17)( 2,19, 4,22,20,13,24,
21)( 3, 9, 5,25,29, 8,15,30)( 6,28)(10,12)(16,26)],
[[[[]]],[[[1,-1,2,1,1,-1,2,1]]],[[[1,1,2,3]]],[[[1,1]]],[[[1,-1,2,1,1,-1,2,
1]],[[2,1,1,-1,2,1,1,-1]]],[[[2,-2]]],[[[2,1,1,-1,2,-1,1,-1]]],[[[2,1,1,
-1]]],[[[2,1,1,-1,2,1,1,-1]],[[2,2,1,1,2,1]]],[[[1,1,2,1,1,-1,2,2]],[[2,1,1,1,
2,1]]],[[[1,1,2,3]],[[2,2,1,1,2,1]]],[[[1,-1,2,1,1,-1,2,1]],[[1,-1,2,2,1,
1]]],[[[1,1,2,1,1,-1,2,-1,1,1]],[[2,1,1,-1]]],[[[2,2,1,1,2,1]],[[2,1,1,
-1]]],[[[1,-1,2,1,1,-1,2,1]],[[2,2,1,1,2,1]]],[[[2,1]]],[[[2,1,1,-1,2,1,1,
-1]],[[2,1,1,1,2,1]]],[[[1,1,2,1,1,1,2,-1]],[[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]],[[1,1,2,1]]],[[[1,-1,2,1]],[[2,
1,1,-1]]],[[[1,1,2,-1]],[[2,2]]],[[[2,-2]],[[1,-1]]],[[[1,1]],[[2,1]]]]);
LIBTOM( "31:3",
[[1],[1,2],[1,3],[1,2,3,4]],
0,[[1],[1,1],[1,1],[1,31,1,1]],
[1,3,31,93],
[4,2,4,4],
[1,1,1,3],
[( 1,25,13)( 2, 9,15)( 3,10,28)( 4, 7,29)( 5,14,24)( 6,19,31)( 8,16,17)
(11,18,27)(12,30,23)(20,22,26),( 1,28, 8,14,15, 9,29,12,18, 4,25, 5,11,21,30,
3,31,17,23,27,16,26,20,10, 7,24,19,22, 6,13, 2)],
[[[[]]],[[[1,1]]],[[[2,-1]]],[[[1,1]],[[2,1]]]]);
LIBTOM( "7^2:2.L2(7):2",
[[1],[1,2],[1,3],[1,4],[1,2,5],[1,2,3,6],[1,2,4,7],[1,3,4,8],[1,3,4,9],[1,
10],[1,11],[1,12],[1,13],[1,14],[1,2,5,15],[1,2,5,16],[1,2,3,5,6,17],[1,2,3,4,
6,7,9,18],[1,2,4,5,7,19],[1,2,3,4,6,7,8,20],[1,3,10,21],[1,2,10,22],[1,3,11,
23],[1,3,14,24],[1,3,13,25],[1,3,12,26],[1,2,11,27],[1,3,10,28],[1,3,11,29],[
1,2,5,15,16,30],[1,2,5,16,31],[1,2,3,5,6,16,17,32],[1,4,11,33],[1,4,10,34],[1,
4,12,35],[1,4,14,36],[1,4,13,37],[1,2,4,5,7,15,38],[1,2,3,4,5,6,7,8,9,17,18,
19,20,39],[1,2,3,6,10,21,22,28,40],[1,2,3,6,11,23,27,29,41],[1,2,3,5,6,15,16,
17,30,31,32,42],[1,2,4,7,11,27,33,43],[1,3,4,8,10,28,34,44],[1,2,4,7,10,22,34,
45],[1,3,4,8,11,23,33,46],[1,3,4,8,11,29,33,47],[1,3,4,8,10,21,34,48],[1,3,4,
8,14,24,36,49],[1,3,4,8,13,25,37,50],[1,3,4,8,12,26,35,51],[1,2,4,5,7,15,16,
19,30,38,52],[1,10,53],[1,10,11,54],[1,10,12,55],[1,10,13,56],[1,10,14,57],[1,
2,3,4,6,7,8,11,20,23,27,29,33,41,43,46,47,58],[1,2,3,4,6,7,8,10,20,21,22,28,
34,40,44,45,48,59],[1,2,10,22,53,60],[1,3,10,11,21,29,54,61],[1,3,10,11,23,28,
54,62],[1,2,10,11,22,27,54,63],[1,3,10,21,28,53,64],[1,3,10,12,26,28,55,65],[
1,3,10,14,24,28,57,66],[1,3,10,13,25,28,56,67],[1,4,10,34,53,68],[1,4,10,11,
33,34,54,69],[1,4,10,12,34,35,55,70],[1,4,10,13,34,37,56,71],[1,4,10,14,34,36,
57,72],[1,2,5,10,22,53,60,73],[1,2,3,6,10,21,22,28,40,53,60,64,74],[1,2,3,6,
10,11,21,22,23,27,28,29,40,41,54,61,62,63,75],[1,2,4,7,10,22,34,45,53,60,68,
76],[1,3,4,8,10,21,28,34,44,48,53,64,68,77],[1,3,4,9,10,21,28,34,53,64,68,
78],[1,2,4,7,10,11,22,27,33,34,43,45,54,63,69,79],[1,3,4,8,10,11,21,29,33,34,
47,48,54,61,69,80],[1,3,4,8,10,11,23,28,33,34,44,46,54,62,69,81],[1,3,4,8,10,
12,26,28,34,35,44,51,55,65,70,82],[1,3,4,8,10,13,25,28,34,37,44,50,56,67,71,
83],[1,3,4,8,10,14,24,28,34,36,44,49,57,66,72,84],[1,2,4,5,7,11,15,16,19,27,
30,33,38,43,52,85],[1,10,11,12,13,14,53,54,55,56,57,86],[1,2,5,10,15,22,53,60,
73,87],[1,2,5,10,16,22,53,60,73,88],[1,2,3,5,6,10,17,21,22,28,40,53,60,64,73,
74,89],[1,2,3,4,6,7,9,10,18,21,22,28,34,40,45,53,60,64,68,74,76,78,90],[1,2,4,
5,7,10,19,22,34,45,53,60,68,73,76,91],[1,2,3,4,6,7,8,10,20,21,22,28,34,40,44,
45,48,53,59,60,64,68,74,76,77,92],[1,2,3,4,6,7,8,10,11,20,21,22,23,27,28,29,
33,34,40,41,43,44,45,46,47,48,54,58,59,61,62,63,69,75,79,80,81,93],[1,2,3,4,5,
6,7,8,9,11,15,16,17,18,19,20,23,27,29,30,31,32,33,38,39,41,42,43,46,47,52,58,
85,94],[1,3,10,11,12,13,14,21,28,29,53,54,55,56,57,61,64,86,95],[1,2,10,11,12,
13,14,22,27,53,54,55,56,57,60,63,86,96],[1,3,10,11,12,13,14,21,23,24,25,26,28,
53,54,55,56,57,62,64,65,66,67,86,97],[1,2,5,10,16,22,31,53,60,73,88,98],[1,2,
3,5,6,10,16,17,21,22,28,32,40,53,60,64,73,74,88,89,99],[1,2,5,10,15,16,22,30,
53,60,73,87,88,100],[1,4,10,11,12,13,14,33,34,35,36,37,53,54,55,56,57,68,69,
70,71,72,86,101],[1,2,4,5,7,10,15,22,34,38,45,53,60,68,73,76,87,102],[1,2,3,4,
5,6,7,8,9,10,17,18,19,20,21,22,28,34,39,40,44,45,48,53,59,60,64,68,73,74,76,
77,78,89,90,91,92,103],[1,2,3,6,10,11,12,13,14,21,22,23,24,25,26,27,28,29,40,
41,53,54,55,56,57,60,61,62,63,64,65,66,67,74,75,86,95,96,97,104],[1,2,3,5,6,
10,15,16,17,21,22,28,30,31,32,40,42,53,60,64,73,74,87,88,89,98,99,100,105],[1,
3,4,8,10,11,12,13,14,21,28,29,33,34,35,36,37,44,47,48,53,54,55,56,57,61,64,68,
69,70,71,72,77,80,86,95,101,106],[1,2,4,7,10,11,12,13,14,22,27,33,34,35,36,37,
43,45,53,54,55,56,57,60,63,68,69,70,71,72,76,79,86,96,101,107],[1,3,4,8,10,11,
12,13,14,21,23,24,25,26,28,33,34,35,36,37,44,46,48,49,50,51,53,54,55,56,57,62,
64,65,66,67,68,69,70,71,72,77,81,82,83,84,86,97,101,108],[1,2,4,5,7,10,15,16,
19,22,30,34,38,45,52,53,60,68,73,76,87,88,91,100,102,109],[1,2,3,4,6,7,8,10,
11,12,13,14,20,21,22,23,24,25,26,27,28,29,33,34,35,36,37,40,41,43,44,45,46,47,
48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,
76,77,79,80,81,82,83,84,86,92,93,95,96,97,101,104,106,107,108,110],[1,2,4,5,7,
10,11,12,13,14,15,16,19,22,27,30,33,34,35,36,37,38,43,45,52,53,54,55,56,57,60,
63,68,69,70,71,72,73,76,79,85,86,87,88,91,96,100,101,102,107,109,111],[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]],
0,[[1],[1,1],[1,1],[1,1],[1,1,1],[1,1,2,1],[1,1,1,1],[1,1,1,1],[1,3,1,1],[1,
1],[1,1],[1,1],[1,1],[1,1],[1,1,3,1],[1,1,1,1],[1,1,4,1,2,1],[1,1,6,1,3,1,2,
1],[1,1,1,3,1,1],[1,1,2,1,1,1,2,1],[1,7,1,1],[1,7,1,1],[1,7,1,1],[1,7,1,1],[1,
7,1,1],[1,7,1,1],[1,1,1,1],[1,1,1,1],[1,7,1,1],[1,1,5,2,1,1],[1,1,1,1,1],[1,1,
8,1,4,1,2,1],[1,7,1,1],[1,7,1,1],[1,7,1,1],[1,7,1,1],[1,7,1,1],[1,1,4,3,4,1,
1],[1,1,8,1,3,4,1,2,2,3,1,1,1,1],[1,7,8,7,1,1,1,1,1],[1,1,14,7,1,1,1,1,1],[1,
1,8,5,4,2,1,2,1,1,1,1],[1,1,7,7,1,1,1,1],[1,1,7,7,1,1,1,1],[1,7,7,7,1,1,1,1],[
1,7,7,7,1,1,1,1],[1,7,7,7,1,1,1,1],[1,7,7,7,1,1,1,1],[1,7,7,7,1,1,1,1],[1,7,7,
7,1,1,1,1],[1,7,7,7,1,1,1,1],[1,1,4,9,4,4,3,4,3,1,1],[1,8,1],[1,1,7,1],[1,1,7,
1],[1,1,7,1],[1,1,7,1],[1,1,14,7,7,7,14,1,7,1,1,1,1,1,1,1,1,1],[1,7,8,7,7,7,
14,1,7,1,1,1,1,1,1,1,1,1],[1,49,8,56,1,1],[1,49,1,7,7,49,1,1],[1,7,1,7,1,7,1,
1],[1,7,1,7,1,7,1,1],[1,7,8,1,7,1,1],[1,7,1,7,1,7,1,1],[1,7,1,7,1,7,1,1],[1,7,
1,7,1,7,1,1],[1,49,8,14,1,1],[1,49,1,7,7,7,1,1],[1,49,1,7,7,7,1,1],[1,49,1,7,
7,7,1,1],[1,49,1,7,7,7,1,1],[1,49,49,8,56,1,1,1],[1,49,14,49,8,2,56,14,14,1,1,
2,1],[1,7,56,49,1,7,7,1,1,7,7,49,7,7,1,1,1,1,1],[1,49,49,49,8,56,14,14,1,1,1,
1],[1,7,49,49,8,1,7,14,7,7,1,1,1,1],[1,21,49,49,8,3,21,14,1,3,1,1],[1,7,49,49,
1,7,1,7,7,7,7,7,1,1,1,1],[1,49,49,49,1,7,7,49,7,7,7,7,1,1,1,1],[1,7,49,49,1,7,
1,7,7,7,7,7,1,1,1,1],[1,7,49,49,1,7,1,7,7,7,7,7,1,1,1,1],[1,7,49,49,1,7,1,7,7,
7,7,7,1,1,1,1],[1,7,49,49,1,7,1,7,7,7,7,7,1,1,1,1],[1,1,28,21,28,8,14,21,28,8,
21,8,14,8,14,1],[1,8,7,14,14,14,1,1,2,2,2,1],[1,49,147,8,49,56,1,1,3,1],[1,49,
49,8,49,56,1,1,1,1],[1,49,28,49,98,8,49,4,56,28,28,1,1,4,1,2,1],[1,49,42,49,
147,49,98,8,49,6,56,42,14,42,14,1,1,6,1,3,1,2,1],[1,49,49,147,49,8,49,56,14,
14,1,1,1,3,1,1],[1,49,14,49,49,49,98,8,49,2,56,14,14,14,14,14,14,1,14,1,2,1,1,
1,2,1],[1,7,56,49,49,49,98,1,7,49,7,1,1,7,7,49,7,7,7,7,7,7,7,7,7,7,1,7,7,1,1,
1,1,1,1,1,1,1],[1,1,56,28,21,28,28,56,56,8,14,21,42,28,28,28,8,8,8,21,21,21,8,
14,28,8,21,8,8,8,14,8,1,1],[1,49,8,7,14,14,14,7,49,49,1,1,2,2,2,1,7,1,1],[1,
49,8,7,14,14,14,56,49,1,1,2,2,2,1,7,1,1],[1,49,8,7,14,14,14,7,7,14,14,14,49,1,
1,2,2,2,7,7,14,14,14,1,1],[1,49,49,8,49,56,49,1,1,1,1,1],[1,49,56,49,196,8,49,
98,8,56,56,49,56,1,1,8,1,4,1,2,1],[1,49,245,8,98,49,56,49,1,1,5,2,1,1],[1,343,
8,7,14,14,14,49,98,98,98,98,1,1,2,2,2,7,7,14,14,14,1,1],[1,49,196,147,196,8,
49,56,56,49,56,1,1,4,3,4,1,1],[1,49,56,49,147,196,49,98,98,8,147,49,49,49,8,
56,56,14,49,56,14,14,14,1,14,1,8,1,3,4,1,2,2,3,1,1,1,1],[1,49,98,343,8,7,14,
14,14,14,56,7,14,14,14,49,98,49,98,49,1,1,2,2,2,1,1,7,7,14,14,14,14,7,7,1,1,1,
1,1],[1,49,56,245,196,8,98,49,98,8,56,56,49,49,49,56,49,1,1,8,5,4,2,1,2,1,1,1,
1],[1,49,343,343,8,7,14,14,14,7,49,49,49,98,98,98,98,49,49,49,1,1,2,2,2,1,7,7,
7,14,14,14,7,7,1,1,1,1],[1,49,343,343,8,7,14,14,14,56,49,49,98,98,98,98,49,98,
1,1,2,2,2,1,7,7,7,14,14,14,7,7,1,1,1,1],[1,49,343,343,8,7,14,14,14,7,7,14,14,
14,49,49,98,98,98,98,49,49,49,98,98,98,1,1,2,2,2,7,7,14,14,14,7,7,14,14,14,7,
7,14,14,14,1,1,1,1],[1,49,196,441,196,8,196,147,196,56,147,56,49,56,49,1,1,4,
9,4,4,3,4,3,1,1],[1,49,98,343,343,343,686,8,7,14,14,14,343,14,56,7,14,14,14,
49,98,49,49,98,98,98,98,98,49,49,98,98,49,49,98,98,98,98,1,1,2,2,2,49,98,1,1,
7,7,14,14,14,14,7,7,14,14,14,7,7,7,14,7,7,7,14,14,14,1,7,7,1,1,1,1,1,1,1,1,
1],[1,49,1372,1029,1372,8,56,112,112,112,686,1029,1372,56,392,1029,392,392,
784,784,784,686,392,392,686,1,8,16,16,16,1,56,28,56,112,112,112,21,28,56,49,8,
14,21,28,8,21,8,14,8,14,1],[1,49,392,1372,1029,1372,1372,2744,2744,8,56,112,
112,112,686,1029,2058,1372,1372,1372,56,56,56,112,112,112,392,392,392,1029,
1029,1029,392,392,784,784,784,686,1372,392,392,1029,392,392,392,392,392,392,
784,784,784,686,1,8,16,16,16,392,392,1,8,56,56,56,112,112,112,28,56,112,112,
112,21,28,56,28,56,56,56,56,56,112,112,112,49,8,14,21,42,28,28,28,56,49,8,8,8,
21,21,21,8,14,28,8,21,8,8,8,14,8,1,1]],
[1,2,2,3,4,4,6,6,6,7,7,7,7,7,8,8,8,12,12,12,14,14,14,14,14,14,14,14,14,16,16,
16,21,21,21,21,21,24,24,28,28,32,42,42,42,42,42,42,42,42,42,48,49,49,49,49,49,
84,84,98,98,98,98,98,98,98,98,147,147,147,147,147,196,196,196,294,294,294,294,
294,294,294,294,294,336,343,392,392,392,588,588,588,588,672,686,686,686,784,
784,784,1029,1176,1176,1372,1568,2058,2058,2058,2352,4116,16464,32928],
[112,94,59,39,42,39,39,20,18,110,93,82,83,84,52,42,32,39,39,39,92,93,93,84,83,
82,58,59,58,42,42,42,58,59,51,49,50,52,39,59,58,42,58,59,59,58,58,59,49,50,51,
52,112,110,108,108,108,58,59,112,110,93,93,92,82,84,83,103,93,82,83,84,105,
103,93,103,92,90,93,93,93,82,83,84,94,110,109,105,99,103,103,103,93,94,110,
110,110,105,105,105,110,109,103,110,105,110,110,110,109,110,112,112],
[1,1,1,1,1,1,1,1,4,1,1,1,1,1,2,1,2,4,4,1,10,10,11,14,13,12,1,1,11,5,1,5,11,10,
12,14,13,15,7,10,11,16,11,10,10,11,11,10,14,13,12,38,1,1,1,1,1,11,10,53,54,11,
10,10,12,14,13,53,54,55,56,57,53,53,54,53,53,68,54,54,54,55,56,57,85,10,60,53,
60,68,68,53,54,85,54,53,86,53,73,73,86,87,76,86,88,86,86,86,102,86,111,111],
[( 1,37,19,31,39,54,12)( 2,23,14, 7,55,27,36)( 3,42,44,41,56, 6,43)
( 4,24,29,25,33,47,52)( 5,16, 9,26, 8,48,34)(10,13,20,22,18,15,49)
(11,51,28,57,50,30,46)(17,45,35,40,53,38,21),( 1,17,40,25,57,46, 6,44,28,36,
14,33, 5,22,15,45)( 2,34,50,11,52,37,35,51, 9,43,42,56,24,27,41,48)
( 3,23,12,20,49,19,54,29,10,26, 7,30,38,13,18,47)( 4,21,39,53,31,55,16, 8)],
[[[[]]],[[[1,2],[2,2],[3,1,4,-1,3,1,4,-1]]],[[[1,3,2,-1]]],[[[2,1,1,-1,2,-1,1,
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2,1,1,-1,2,2,1,1]]],[[[1,2],[3,1,2,-1,1,1,2,2,3,1]],[[2,1,1,2,2,-1,1,1,2,
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1,-1,2,-2]]],[[[2,1,1,-1,2,2,1,1]],[[1,1,2,-4]]],[[[2,2,1,1,2,1]],[[1,1,2,
3]]],[[[2,1,1,2,2,-1,1,-1]],[[2,1,1,1,2,1]]],[[[1,1,2,1],[3,1,1,-2,3,1]],[[1,
1,2,1],[2,1,3,1,2,1,3,1]],[[1,2],[3,1,2,1,3,1]]],[[[1,1,2,1],[2,1,3,1,2,1,3,
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-1,2,-1]],[[1,1,2,1,1,3]]],[[[1,2],[3,1,2,-1,1,-1,2,-1,3,-1,2,-1]],[[2,1,1,1,
2,-1,1,-2,2,-1,1,-1]]],[[[1,2],[3,1,2,-1,3,1,2,-1]],[[2,2,1,-1,2,1,1,1]]],[[[
2,2,1,-1,2,2,1,1]],[[2,1,1,2,2,-1,1,-1]]],[[[2,1,1,1,2,-3,1,-1]],[[1,1,2,-2,1,
2]]],[[[1,1,2,-1,1,3,2,1]],[[1,2,2,1,1,-1,2,1]]],[[[1,1,2,-1,1,1,2,1,1,2]],[[
1,2],[2,-1,3,1,2,1,1,1]]],[[[2,1,1,1,2,1,1,2,2,1]],[[2,1,1,-1,2,2,1,1]]],[[[2,
1,1,1,2,2,1,1]],[[1,1,2,3]]],[[[1,3,2,-2,1,-1]],[[2,2,1,-2]]],[[[1,1,2,4]],[[
2,1,1,-1,2,2,1,1]]],[[[2,2,1,-1,2,-1,1,-1]],[[2,1,1,1,2,1]]],[[[1,1,2,1,1,-2,
2,-1]],[[1,1,2,-1,1,1]]],[[[1,1,2,-2,1,2]],[[1,2],[3,1,2,1,3,1]]],[[[2,1,1,2,
2,1,1,1]],[[1,1,2,-2,1,2]]],[[[1,1,2,1,1,3]],[[1,1,2,-2,1,2]],[[2,2,1,-1,2,1,
1,1]]],[[[2,1,1,-1,2,1,1,2,2,-1]],[[1,2,2,-1,1,-1]]],[[[1,1,2,-1,1,2,2,1]],[[
2,1,1,-1,2,2,1,1]]],[[[2,1,1,-1,2,2,1,-1,2,-1]],[[1,2,2,1,1,-1,2,1]]],[[[2,4,
1,-1]],[[2,2,1,2]],[[1,1,2,2,1,1]]],[[[1,1,2,1,1,-2,2,-1]],[[1,-1,2,-2]]],[[[
1,1,2,4]],[[2,1,1,2,2,1,1,-1]],[[2,1,1,-1,2,2,1,1]]],[[[2,2,1,-1,2,1,1,1]],[[
1,2],[3,1,2,1,3,1]],[[1,1,2,-2,1,2]]],[[[1,-1,2,2,1,-1]],[[2,1,1,2]]],[[[1,1,
2,2,1,1]],[[2,1,1,-2]]],[[[2,2,1,2]],[[2,1,1,1,2,1]]],[[[1,3,2,1]],[[2,2,1,
2]],[[1,1,2,2,1,1]]],[[[1,1,2,-2,1,-1]],[[1,-1,2,-2]]],[[[2,1,1,1,2,1]],[[1,2,
2,-1]]],[[[2,-2]],[[1,1]]],[[[1,1]],[[2,1]]]]);
LIBTOM( "(3xA4):2",
[[1],[1,2],[1,3],[1,4],[1,5],[1,6],[1,7],[1,2,8],[1,2,9],[1,2,3,10],[1,2,4,
11],[1,3,4,12],[1,3,7,13],[1,3,6,14],[1,3,5,15],[1,2,3,8,9,10,16],[1,4,5,6,7,
17],[1,2,6,8,18],[1,2,5,8,19],[1,2,3,4,10,11,12,20],[1,2,4,8,11,21],[1,2,7,8,
22],[1,2,4,9,11,23],[1,3,4,5,6,7,12,13,14,15,17,24],[1,2,3,4,8,9,10,11,12,16,
20,21,23,25],[1,2,3,6,8,9,10,14,16,18,26],[1,2,3,7,8,9,10,13,16,22,27],[1,2,3,
5,8,9,10,15,16,19,28],[1,2,4,5,6,7,8,11,17,18,19,21,22,29],[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]],
0,
[[1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,3,1],[1,1,1],[1,1,2,1],[1,1,1,1],[
1,3,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,3,2,1,1,1,1],[1,1,1,1,1,1],[1,3,4,1,
1],[1,3,4,1,1],[1,1,6,1,3,1,2,1],[1,3,1,1,3,1],[1,3,4,1,1],[1,1,1,3,1,1],[1,9,
1,1,1,1,3,3,3,3,1,1],[1,3,6,1,1,3,3,3,2,3,1,1,1,1],[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],[1,3,1,4,4,4,1,3,4,1,1,1,1,1],[1,
3,18,1,4,4,4,1,9,9,3,6,12,12,12,9,4,1,1,3,1,1,3,4,3,3,3,3,1,1]],
[1,2,2,3,3,3,3,4,4,4,6,6,6,6,6,8,9,12,12,12,12,12,12,18,24,24,24,24,36,72],
[30,25,10,30,24,24,24,30,16,16,25,20,13,14,15,16,24,30,30,25,30,30,25,24,25,
26,27,28,30,30],
[1,1,1,1,1,1,1,1,1,1,1,4,7,6,5,2,1,8,8,4,1,8,4,17,11,18,22,19,8,29],
[( 1,12)( 3,53)( 4,32)( 5, 8)( 7,13)( 9,15)(10,31)(11,43)(16,27)(17,35)(18,48)
(19,45)(20,23)(24,29)(26,51)(28,44)(30,54)(34,41)(36,56)(37,55)(39,57)(40,46)
(47,52)(49,50),( 1, 7,44,45)( 2,16,14,17)( 3,25)( 4,54,49,57)( 5,24,51,15)
( 6,13,22,19)( 8,11,26,55)( 9,37,29,43)(10,47,31,40)(12,34,28,41)(18,30,48,39)
(20,23)(21,32,33,50)(27,52,35,46)(36,38)(53,56),( 1,22)( 2,10)( 3,55)( 4,54)
( 5,56)( 6, 7)( 8,43)( 9,25)(11,36)(16,35)(17,52)(18,30)(19,28)(20,42)(21,50)
(26,37)(27,47)(29,38)(32,48)(33,39)(34,44)(40,46)(41,45)(51,53)],
[[[[]]],[[[2,-2]]],[[[1,1]]],[[[1,1,2,1,1,1,2,1]]],[[[3,1,1,1]]],[[[3,1],[4,1,
1,1,4,1],[5,1,2,1]]],[[[3,1,2,1]]],[[[2,1,1,1],[4,2,2,-1,1,1]],[[2,-2]]],[[[2,
1]]],[[[1,1,2,1,1,1,2,1,1,1]],[[2,-2]]],[[[1,1,2,-1]]],[[[2,1,1,1,2,1]],[[1,
1]]],[[[1,1,2,1,1,1,2,1,1,1]],[[3,1]]],[[[1,1,2,1,1,1,2,1,1,1]],[[3,1],[4,1,1,
1,4,1]]],[[[1,1,2,1,1,1,2,1,1,1]],[[1,1,3,1]]],[[[1,1,2,1,1,1,2,1,1,1]],[[2,
1]]],[[[1,1,2,1,1,1,2,1]],[[1,1,3,1]]],[[[3,1],[4,1,1,1,4,1],[2,1,5,1]],[[3,
1],[4,1,1,1,4,1],[5,1,2,1]]],[[[2,-2]],[[1,1,3,1]]],[[[2,1,1,1,2,-1]],[[1,
1]]],[[[1,1,2,1]],[[2,1,1,1]]],[[[3,1,2,1]],[[2,1,3,1]]],[[[1,1,2,-1,1,1]],[[
2,1]]],[[[2,1,1,1,2,1]],[[1,1]],[[3,1,1,1]]],[[[2,-1]],[[1,1]]],[[[3,1],[4,1,
1,1,4,1]],[[2,1]]],[[[3,1]],[[2,-1]]],[[[1,1,3,1]],[[2,1]]],[[[2,1,1,1]],[[2,
1,3,1]]],[[[1,1]],[[2,1]],[[3,1]]]]);
LIBTOM( "3^2:Q8",
[[1],[1,2],[1,3],[1,2,4],[1,2,5],[1,2,6],[1,2,3,7],[1,2,4,5,6,8],[1,3,9],[1,2,
3,7,9,10],[1,2,3,4,7,9,10,11],[1,2,3,5,7,9,10,12],[1,2,3,6,7,9,10,13],[1,2,3,
4,5,6,7,8,9,10,11,12,13,14]],
0,[[1],[1,1],[1,1],[1,1,1],[1,1,1],[1,1,1],[1,3,1,1],[1,1,1,1,1,1],[1,4,1],[1,
9,4,12,1,1],[1,9,4,9,12,1,1,1],[1,9,4,9,12,1,1,1],[1,9,4,9,12,1,1,1],[1,9,4,9,
9,9,12,9,1,1,1,1,1,1]],
[1,2,3,4,4,4,6,8,9,18,36,36,36,72],
[14,8,10,8,8,8,7,8,14,14,14,14,14,14],
[1,1,1,1,1,1,3,2,1,9,9,9,9,10],
[( 1, 7,47,56)( 2,24,29,17)( 3,52,37, 8)( 4,31,35,11)( 5,34,32, 6)( 9,40)
(10,23,57,30)(12,16,33,28)(13,38,53,54)(14,18,26,19)(15,49)(20,44,55,51)
(21,50)(22,45,36,42)(25,46)(39,43,48,41),( 1,36,50,48)( 2,23,22,13)
( 3,18,52, 8)( 4,39,30,29)( 5,20)( 6,49)( 7,43,10,46)( 9,51,34,44)
(11,17,56,45)(12,38,24,21)(15,32,55,40)(16,47)(19,26,37,27)(25,53,28,35)
(31,42,57,33)(41,54)],
[[[[]]],[[[1,-2]]],[[[1,-2,2,-2]]],[[[2,1]]],[[[1,1]]],[[[2,1,1,1]]],[[[2,1,1,
-1,2,1,1,1]],[[1,1,2,1,1,1,2,1]]],[[[1,-2],[3,1,2,-1,3,1]],[[1,1,2,1]]],[[[1,
1,2,-2,1,1]],[[2,1,1,-1,2,1,1,1]]],[[[1,1,2,1,1,-1,2,-1]],[[2,-2]],[[1,1,2,1,
1,1,2,1]]],[[[1,-2]],[[2,1]]],[[[2,-2]],[[1,1]]],[[[2,1,1,-1]],[[1,-1,2,
-1]]],[[[1,1]],[[2,1]]]]);
LIBTOM( "19:3",
[[1],[1,2],[1,3],[1,2,3,4]],
0,[[1],[1,1],[1,1],[1,19,1,1]],
[1,3,19,57],
[4,2,4,4],
[1,1,1,3],
[( 1,29,49)( 2,57,26)( 3,43,14)( 4,41,31)( 5,15,33)( 6,27,24)( 7,19,28)
( 8,38,10)( 9,40,23)(11,25,16)(12,18,53)(17,35,30)(20,22,32)(21,37,42)
(34,39,44)(36,52,54)(45,51,46)(48,55,50),( 1,21, 4,42,32,46,37,48,20,51,55,49,
50,41,31,45,13,22,29)( 2,47,54, 3,14,24,53,27,36,26, 6,33,52,57, 5,43,15,12,
18)( 7,19,39,56,16,35,17,23,28,40,11,34, 9,38,25,44,10,30, 8)],
[[[[]]],[[[1,1]]],[[[2,2]]],[[[1,1]],[[2,1]]]]);
LIBTOM( "3^4:GL2(9)",
[[1],[1,2],[1,3],[1,4],[1,5],[1,6],[1,2,7],[1,2,8],[1,3,9],[1,3,10],[1,2,3,
11],[1,12],[1,3,6,13],[1,3,4,14],[1,3,5,15],[1,2,4,16],[1,3,6,17],[1,2,6,18],[
1,3,4,19],[1,2,7,20],[1,2,7,21],[1,2,8,22],[1,2,8,23],[1,3,9,24],[1,3,10,25],[
1,3,10,26],[1,3,9,27],[1,2,8,28],[1,2,3,7,8,11,29],[1,2,3,9,10,11,30],[1,2,3,
8,11,31],[1,4,32],[1,4,33],[1,5,34],[1,4,5,35],[1,4,5,36],[1,4,5,37],[1,4,5,
38],[1,5,39],[1,6,40],[1,4,6,41],[1,6,42],[1,2,12,43],[1,3,12,44],[1,3,4,9,19,
45],[1,2,6,7,18,46],[1,2,3,6,11,13,17,18,47],[1,2,3,4,11,14,16,19,48],[1,3,4,
10,19,49],[1,2,6,8,18,50],[1,2,3,7,8,11,28,29,31,51],[1,2,7,20,52],[1,2,8,23,
28,53],[1,2,3,7,8,9,10,11,29,30,54],[1,2,3,7,8,11,20,21,29,55],[1,2,3,7,8,11,
22,23,29,56],[1,2,3,7,8,11,21,29,57],[1,2,3,9,10,11,25,26,30,58],[1,2,3,9,10,
11,24,27,30,59],[1,2,3,8,11,23,31,60],[1,2,3,8,11,22,28,31,61],[1,3,4,14,32,
62],[1,3,5,15,34,63],[1,2,4,16,32,64],[1,2,4,16,33,65],[1,3,6,13,40,66],[1,3,
6,17,40,67],[1,3,4,6,14,17,41,68],[1,3,6,17,42,69],[1,2,6,18,40,70],[1,3,4,19,
32,71],[1,3,4,14,19,33,72],[1,3,4,5,15,19,36,73],[1,3,4,5,15,19,37,74],[1,3,4,
5,15,19,38,75],[1,3,4,5,15,19,35,76],[1,2,4,6,16,18,41,77],[1,3,4,6,13,19,41,
78],[1,2,3,11,12,43,44,79],[1,2,8,12,43,80],[1,2,7,12,43,81],[1,2,6,8,18,28,
82],[1,3,4,9,19,24,45,83],[1,2,6,7,18,20,46,84],[1,2,6,7,18,21,46,85],[1,3,4,
9,19,27,45,86],[1,2,3,4,9,10,11,14,16,19,30,45,48,49,87],[1,2,3,6,7,8,11,13,
17,18,29,46,47,50,88],[1,4,6,32,41,89],[1,4,32,33,90],[1,4,5,32,35,36,37,38,
91],[1,4,5,34,36,37,39,92],[1,4,5,34,35,38,39,93],[1,4,6,40,41,42,94],[1,4,5,
38,95],[1,4,5,35,36,37,96],[1,4,5,33,36,37,38,97],[1,4,5,6,33,35,41,98],[1,4,
5,6,36,37,38,41,99],[1,2,3,7,8,11,20,21,28,29,31,51,55,57,100],[1,2,3,7,8,9,
10,11,20,21,22,23,29,30,54,55,56,101],[1,2,3,7,8,9,10,11,24,25,26,27,29,30,54,
58,59,102],[1,2,3,7,8,11,22,23,28,29,31,51,53,56,60,61,103],[1,2,3,7,8,11,21,
22,23,29,56,57,104],[1,2,3,7,8,11,20,21,29,52,55,105],[1,2,3,7,8,9,10,11,21,
28,29,30,31,51,54,57,106],[1,3,6,9,13,40,66,107],[1,3,4,9,14,32,62,108],[1,2,
4,7,16,32,64,109],[1,2,4,8,16,32,64,110],[1,2,4,8,16,33,65,111],[1,3,6,10,13,
40,66,112],[1,3,4,10,14,32,62,113],[1,3,5,10,15,34,63,114],[1,3,6,10,17,40,67,
115],[1,3,6,9,17,40,67,116],[1,3,6,10,17,42,69,117],[1,2,6,7,18,40,46,70,
118],[1,3,4,9,19,32,45,71,119],[1,2,3,6,11,13,17,18,40,47,66,67,70,120],[1,2,
3,4,11,14,16,19,32,48,62,64,71,121],[1,2,6,8,18,40,50,70,122],[1,3,4,10,19,32,
49,71,123],[1,2,3,4,11,14,16,19,33,48,65,72,124],[1,2,3,4,6,11,13,14,16,17,18,
19,41,47,48,68,77,78,125],[1,2,7,12,21,43,81,126],[1,2,7,12,20,43,81,127],[1,
2,3,7,8,11,12,29,43,44,79,80,81,128],[1,2,3,6,7,8,11,18,28,29,31,46,51,82,
129],[1,2,6,8,18,23,28,50,53,82,130],[1,2,3,6,8,11,13,17,18,22,28,31,47,61,82,
131],[1,2,3,6,7,8,11,13,17,18,20,21,29,46,47,50,55,84,85,88,132],[1,2,3,4,9,
10,11,14,16,19,24,27,30,45,48,49,59,83,86,87,133],[1,3,4,6,14,17,32,41,62,68,
89,134],[1,2,4,16,32,33,64,65,90,135],[1,3,4,6,14,17,40,41,42,67,68,69,94,
136],[1,2,4,6,16,18,32,41,64,77,89,137],[1,3,4,14,19,32,33,62,72,90,138],[1,3,
4,5,15,19,34,35,38,39,63,75,76,93,139],[1,3,4,5,15,19,34,36,37,39,63,73,74,92,
140],[1,3,4,6,13,19,40,41,42,66,78,94,141],[1,3,4,5,15,19,38,75,95,142],[1,3,
4,5,15,19,35,36,37,73,74,76,96,143],[1,3,4,5,14,15,19,33,36,37,38,72,73,74,75,
97,144],[1,3,4,5,6,13,14,15,19,33,35,41,72,76,78,98,145],[1,3,4,5,6,13,15,19,
36,37,38,41,73,74,75,78,99,146],[1,2,4,6,16,18,40,41,42,70,77,94,147],[1,3,4,
14,19,32,33,71,72,90,148],[1,3,4,5,15,19,32,35,36,37,38,71,73,74,75,76,91,
149],[1,3,4,6,13,19,32,41,71,78,89,150],[1,3,4,5,6,14,17,19,33,35,41,68,72,98,
151],[1,2,4,5,6,16,18,33,35,41,65,77,98,152],[1,2,3,7,8,9,10,11,20,21,22,23,
28,29,30,31,51,53,54,55,56,57,60,61,100,101,103,104,106,153],[1,2,3,7,8,9,10,
11,20,21,22,23,24,25,26,27,29,30,54,55,56,58,59,101,102,154],[1,2,3,7,8,9,10,
11,20,21,22,23,29,30,52,54,55,56,101,105,155],[1,3,4,9,14,24,32,62,108,156],[
1,3,6,9,13,24,40,66,107,157],[1,2,4,7,16,20,32,64,109,158],[1,2,4,8,16,23,32,
64,110,159],[1,2,4,8,16,22,32,64,110,160],[1,2,4,7,16,21,32,64,109,161],[1,2,
4,8,16,22,33,65,111,162],[1,3,4,9,14,27,32,62,108,163],[1,3,6,9,13,27,40,66,
107,164],[1,3,6,9,17,27,40,67,116,165],[1,3,4,10,14,25,32,62,113,166],[1,3,4,
10,14,26,32,62,113,167],[1,3,5,10,15,26,34,63,114,168],[1,3,6,10,17,25,40,67,
115,169],[1,3,6,10,17,26,40,67,115,170],[1,3,6,10,13,25,40,66,112,171],[1,3,6,
10,13,26,40,66,112,172],[1,3,6,9,17,24,40,67,116,173],[1,3,6,10,17,25,42,69,
117,174],[1,2,3,4,7,8,11,14,16,19,29,32,48,62,64,71,109,110,121,175],[1,2,3,6,
9,10,11,13,17,18,30,40,47,66,67,70,107,112,120,176],[1,2,3,6,9,10,11,13,17,18,
30,40,47,66,67,70,115,116,120,177],[1,2,3,4,9,10,11,14,16,19,30,32,48,62,64,
71,108,113,121,178],[1,3,4,10,19,26,32,49,71,123,179],[1,3,4,10,19,25,32,49,
71,123,180],[1,2,6,8,18,23,40,50,70,122,181],[1,2,6,8,18,22,40,50,70,122,
182],[1,3,4,9,19,27,32,45,71,86,119,183],[1,2,6,7,18,21,40,46,70,85,118,184],[
1,2,3,4,9,10,11,14,16,19,30,32,45,48,49,62,64,71,87,119,121,123,185],[1,2,3,6,
7,8,11,13,17,18,29,40,46,47,50,66,67,70,88,118,120,122,186],[1,3,4,9,19,24,32,
45,71,83,119,187],[1,2,6,7,18,20,40,46,70,84,118,188],[1,2,4,8,16,28,33,65,
111,189],[1,2,3,4,8,11,14,16,19,31,33,48,65,72,111,124,190],[1,2,7,12,20,43,
52,81,127,191],[1,2,3,7,8,11,12,20,21,29,43,44,55,79,80,81,126,127,128,192],[
1,2,7,12,20,43,52,81,127,193],[1,4,32,33,90,194],[1,4,5,32,34,35,36,37,38,39,
91,92,93,195],[1,4,6,32,40,41,42,89,94,196],[1,4,5,32,35,36,37,38,91,95,197],[
1,4,5,32,35,36,37,38,91,96,198],[1,4,5,32,33,35,36,37,38,90,91,97,199],[1,4,5,
6,32,33,35,36,37,38,41,89,90,91,98,200],[1,4,5,6,32,35,36,37,38,41,89,91,99,
201],[1,2,3,6,7,8,9,10,11,18,21,28,29,30,31,46,51,54,57,82,85,106,129,202],[1,
2,3,6,7,8,11,13,17,18,22,23,28,29,31,46,47,50,51,53,56,60,61,82,88,103,129,
130,131,203],[1,2,3,6,7,8,11,18,20,21,28,29,31,46,51,55,57,82,84,100,129,
204],[1,2,4,6,7,16,18,32,41,46,64,77,89,109,137,205],[1,3,4,9,14,19,32,33,45,
62,72,90,108,138,206],[1,3,4,6,9,13,19,40,41,42,45,66,78,94,107,141,207],[1,3,
4,5,9,15,19,38,45,75,95,142,208],[1,3,4,6,10,13,19,40,41,42,49,66,78,94,112,
141,209],[1,3,4,10,14,19,32,33,49,62,72,90,113,138,210],[1,3,4,5,10,15,19,34,
36,37,39,49,63,73,74,92,114,140,211],[1,3,4,5,10,15,19,34,35,38,39,49,63,75,
76,93,114,139,212],[1,2,4,6,8,16,18,32,41,50,64,77,89,110,137,213],[1,2,3,4,
11,14,16,19,32,33,48,62,64,65,71,72,90,121,124,135,138,148,214],[1,2,3,4,6,11,
13,14,16,17,18,19,32,41,47,48,62,64,68,71,77,78,89,121,125,134,137,150,215],[
1,2,3,4,6,11,13,14,16,17,18,19,40,41,42,47,48,66,67,68,69,70,77,78,94,120,125,
136,141,147,216],[1,2,3,4,5,6,11,13,14,15,16,17,18,19,33,35,41,47,48,65,68,72,
76,77,78,98,124,125,145,151,152,217],[1,2,6,8,12,18,28,43,50,80,82,218],[1,2,
3,7,8,9,10,11,20,21,22,23,24,25,26,27,28,29,30,31,51,52,53,54,55,56,57,58,59,
60,61,100,101,102,103,104,105,106,153,154,155,219],[1,2,3,6,9,10,11,13,17,18,
24,27,30,40,47,59,66,67,70,115,116,120,165,173,177,220],[1,2,3,4,9,10,11,14,
16,19,24,27,30,32,48,59,62,64,71,108,113,121,156,163,178,221],[1,2,3,4,9,10,
11,14,16,19,25,26,30,32,48,58,62,64,71,108,113,121,166,167,178,222],[1,2,3,4,
7,8,11,14,16,19,20,21,29,32,48,55,62,64,71,109,110,121,158,161,175,223],[1,2,
3,4,7,8,11,14,16,19,22,23,29,32,48,56,62,64,71,109,110,121,159,160,175,224],[
1,2,3,6,9,10,11,13,17,18,25,26,30,40,47,58,66,67,70,107,112,120,171,172,176,
225],[1,2,3,6,9,10,11,13,17,18,25,26,30,40,47,58,66,67,70,115,116,120,169,170,
177,226],[1,2,3,6,9,10,11,13,17,18,24,27,30,40,47,59,66,67,70,107,112,120,157,
164,176,227],[1,2,3,4,7,8,9,10,11,14,16,19,29,30,32,45,48,49,54,62,64,71,87,
108,109,110,113,119,121,123,175,178,185,228],[1,2,3,6,7,8,9,10,11,13,17,18,29,
30,40,46,47,50,54,66,67,70,88,107,112,115,116,118,120,122,176,177,186,229],[1,
2,3,4,9,10,11,14,16,19,24,27,30,32,45,48,49,59,62,64,71,83,86,87,119,121,123,
133,183,185,187,230],[1,2,3,6,7,8,11,13,17,18,20,21,29,40,46,47,50,55,66,67,
70,84,85,88,118,120,122,132,184,186,188,231],[1,2,3,6,7,8,11,13,17,18,22,23,
29,40,46,47,50,56,66,67,70,88,118,120,122,181,182,186,232],[1,2,3,4,9,10,11,
14,16,19,25,26,30,32,45,48,49,58,62,64,71,87,119,121,123,179,180,185,233],[1,
2,3,4,8,11,14,16,19,22,28,31,33,48,61,65,72,111,124,162,189,190,234],[1,2,3,7,
8,11,12,20,21,29,43,44,52,55,79,80,81,105,126,127,128,191,192,193,235],[1,2,4,
16,32,33,64,65,90,135,194,236],[1,3,4,6,14,17,32,40,41,42,62,67,68,69,89,94,
134,136,196,237],[1,3,4,14,19,32,33,62,71,72,90,138,148,194,238],[1,3,4,5,15,
19,32,34,35,36,37,38,39,63,71,73,74,75,76,91,92,93,139,140,149,195,239],[1,3,
4,6,13,19,32,40,41,42,66,71,78,89,94,141,150,196,240],[1,2,4,6,16,18,32,40,41,
42,64,70,77,89,94,137,147,196,241],[1,2,4,5,6,16,18,32,33,35,36,37,38,41,64,
65,77,89,90,91,98,135,137,152,200,242],[1,3,4,5,6,14,17,19,32,33,35,36,37,38,
41,62,68,72,89,90,91,98,134,138,151,200,243],[1,3,4,5,15,19,32,35,36,37,38,71,
73,74,75,76,91,95,142,149,197,244],[1,3,4,5,14,15,19,32,33,35,36,37,38,71,72,
73,74,75,76,90,91,97,144,148,149,199,245],[1,3,4,5,15,19,32,35,36,37,38,71,73,
74,75,76,91,96,143,149,198,246],[1,3,4,5,6,13,14,15,19,32,33,35,36,37,38,41,
71,72,73,74,75,76,78,89,90,91,98,145,148,149,150,200,247],[1,3,4,5,6,13,15,19,
32,35,36,37,38,41,71,73,74,75,76,78,89,91,99,146,149,150,201,248],[1,2,3,6,7,
8,9,10,11,13,17,18,20,21,22,23,28,29,30,31,46,47,50,51,53,54,55,56,57,60,61,
82,84,85,88,100,101,103,104,106,129,130,131,132,153,202,203,204,249],[1,2,4,6,
7,16,18,20,32,41,46,64,77,84,89,109,137,158,205,250],[1,3,4,9,14,19,24,32,33,
45,62,72,83,90,108,138,156,206,251],[1,3,4,6,9,13,19,24,40,41,42,45,66,78,83,
94,107,141,157,207,252],[1,2,4,6,7,16,18,21,32,41,46,64,77,85,89,109,137,161,
205,253],[1,3,4,9,14,19,27,32,33,45,62,72,86,90,108,138,163,206,254],[1,3,4,6,
9,13,19,27,40,41,42,45,66,78,86,94,107,141,164,207,255],[1,2,3,4,9,10,11,14,
16,19,30,32,33,45,48,49,62,64,65,71,72,87,90,108,113,121,124,135,138,148,178,
206,210,214,256],[1,2,3,4,6,9,10,11,13,14,16,17,18,19,30,40,41,42,45,47,48,49,
66,67,68,69,70,77,78,87,94,107,112,120,125,136,141,147,176,207,209,216,257],[
1,2,3,4,6,7,8,11,13,14,16,17,18,19,29,32,41,46,47,48,50,62,64,68,71,77,78,88,
89,109,110,121,125,134,137,150,175,205,213,215,258],[1,2,4,5,6,8,16,18,28,33,
35,41,65,77,82,98,111,152,189,259],[1,3,4,5,9,15,19,27,38,45,75,86,95,142,208,
260],[1,2,3,6,7,8,11,12,13,17,18,28,29,31,43,44,46,47,50,51,79,80,81,82,88,
128,129,218,261],[1,4,5,6,32,33,35,36,37,38,41,89,90,91,97,98,194,199,200,
262],[1,4,5,6,32,33,34,35,36,37,38,39,41,89,90,91,92,93,95,96,97,98,99,195,
197,198,199,200,201,263],[1,4,5,6,32,33,35,36,37,38,40,41,42,89,90,91,94,98,
99,196,200,201,264],[1,2,3,6,7,8,9,10,11,13,17,18,24,25,26,27,29,30,40,46,47,
50,54,58,59,66,67,70,88,102,107,112,115,116,118,120,122,165,169,170,173,176,
177,186,220,226,229,265],[1,2,3,4,7,8,9,10,11,14,16,19,20,21,22,23,29,30,32,
45,48,49,54,55,56,62,64,71,87,101,108,109,110,113,119,121,123,158,159,160,161,
175,178,185,223,224,228,266],[1,2,3,6,7,8,9,10,11,13,17,18,24,25,26,27,29,30,
40,46,47,50,54,58,59,66,67,70,88,102,107,112,115,116,118,120,122,157,164,171,
172,176,177,186,225,227,229,267],[1,2,3,4,7,8,9,10,11,14,16,19,24,25,26,27,29,
30,32,45,48,49,54,58,59,62,64,71,87,102,108,109,110,113,119,121,123,156,163,
166,167,175,178,185,221,222,228,268],[1,2,3,6,7,8,9,10,11,13,17,18,20,21,22,
23,29,30,40,46,47,50,54,55,56,66,67,70,84,85,88,101,107,112,115,116,118,120,
122,132,176,177,181,182,184,186,188,229,231,232,269],[1,2,3,4,7,8,9,10,11,14,
16,19,24,25,26,27,29,30,32,45,48,49,54,58,59,62,64,71,83,86,87,102,108,109,
110,113,119,121,123,133,175,178,179,180,183,185,187,228,230,233,270],[1,2,4,7,
16,32,33,64,65,90,109,135,194,236,271],[1,2,4,8,16,32,33,64,65,90,110,111,135,
194,236,272],[1,3,4,6,9,14,17,32,40,41,42,62,67,68,69,89,94,108,116,134,136,
196,237,273],[1,3,4,6,10,14,17,32,40,41,42,62,67,68,69,89,94,113,115,117,134,
136,196,237,274],[1,2,3,4,11,14,16,19,32,33,48,62,64,65,71,72,90,121,124,135,
138,148,194,214,236,238,275],[1,2,3,4,6,11,13,14,16,17,18,19,32,40,41,42,47,
48,62,64,66,67,68,69,70,71,77,78,89,94,120,121,125,134,136,137,141,147,150,
196,215,216,237,240,241,276],[1,3,4,10,14,19,32,33,49,62,71,72,90,113,123,138,
148,194,210,238,277],[1,3,4,5,10,15,19,32,34,35,36,37,38,39,49,63,71,73,74,75,
76,91,92,93,114,123,139,140,149,195,211,212,239,278],[1,2,4,6,8,16,18,32,40,
41,42,50,64,70,77,89,94,110,122,137,147,196,213,241,279],[1,3,4,6,10,13,19,32,
40,41,42,49,66,71,78,89,94,112,123,141,150,196,209,240,280],[1,2,4,6,7,16,18,
32,40,41,42,46,64,70,77,89,94,109,118,137,147,196,205,241,281],[1,3,4,6,9,13,
19,32,40,41,42,45,66,71,78,89,94,107,119,141,150,196,207,240,282],[1,3,4,9,14,
19,32,33,45,62,71,72,90,108,119,138,148,194,206,238,283],[1,3,4,5,9,15,19,32,
35,36,37,38,45,71,73,74,75,76,91,95,119,142,149,197,208,244,284],[1,2,3,4,5,6,
11,13,14,15,16,17,18,19,32,33,35,36,37,38,41,47,48,62,64,65,68,71,72,73,74,75,
76,77,78,89,90,91,98,121,124,125,134,135,137,138,145,148,149,150,151,152,200,
214,215,217,242,243,247,285],[1,4,12,32,33,90,194,286],[1,2,3,4,9,10,11,14,16,
19,24,27,30,32,33,45,48,49,59,62,64,65,71,72,83,86,87,90,108,113,121,124,133,
135,138,148,156,163,178,206,210,214,221,251,254,256,287],[1,2,3,4,6,9,10,11,
13,14,16,17,18,19,24,27,30,40,41,42,45,47,48,49,59,66,67,68,69,70,77,78,83,86,
87,94,107,112,120,125,133,136,141,147,157,164,176,207,209,216,227,252,255,257,
288],[1,2,3,4,6,7,8,11,13,14,16,17,18,19,20,21,29,32,41,46,47,48,50,55,62,64,
68,71,77,78,84,85,88,89,109,110,121,125,132,134,137,150,158,161,175,205,213,
215,223,250,253,258,289],[1,2,3,4,5,6,8,11,13,14,15,16,17,18,19,22,28,31,33,
35,41,47,48,61,65,68,72,76,77,78,82,98,111,124,125,131,145,151,152,162,189,
190,217,234,259,290],[1,2,3,6,7,8,11,12,13,17,18,20,21,28,29,31,43,44,46,47,
50,51,55,57,79,80,81,82,84,85,88,100,126,127,128,129,132,192,204,218,261,
291],[1,2,4,5,6,16,18,32,33,35,36,37,38,41,64,65,77,89,90,91,97,98,135,137,
152,194,199,200,236,242,262,292],[1,3,4,5,6,14,17,19,32,33,35,36,37,38,40,41,
42,62,67,68,69,72,89,90,91,94,98,99,134,136,138,151,196,200,201,237,243,264,
293],[1,3,4,5,6,14,17,19,32,33,35,36,37,38,41,62,68,71,72,89,90,91,97,98,134,
138,148,151,194,199,200,238,243,262,294],[1,2,4,5,6,16,18,32,33,35,36,37,38,
40,41,42,64,65,70,77,89,90,91,94,98,99,135,137,147,152,196,200,201,241,242,
264,295],[1,3,4,5,6,13,14,15,19,32,33,35,36,37,38,41,62,71,72,73,74,75,76,78,
89,90,91,97,98,138,144,145,148,149,150,194,199,200,238,245,247,262,296],[1,3,
4,5,6,13,14,15,19,32,33,34,35,36,37,38,39,41,63,71,72,73,74,75,76,78,89,90,91,
92,93,95,96,97,98,99,139,140,142,143,144,145,146,148,149,150,195,197,198,199,
200,201,239,244,245,246,247,248,263,297],[1,3,4,5,6,13,14,15,19,32,33,35,36,
37,38,40,41,42,66,71,72,73,74,75,76,78,89,90,91,94,98,99,141,145,146,148,149,
150,196,200,201,240,247,248,264,298],[1,2,3,4,7,8,9,10,11,14,16,19,20,21,22,
23,24,25,26,27,29,30,32,45,48,49,54,55,56,58,59,62,64,71,83,86,87,101,102,108,
109,110,113,119,121,123,133,154,156,158,159,160,161,163,166,167,175,178,179,
180,183,185,187,221,222,223,224,228,230,233,266,268,270,299],[1,2,3,6,7,8,9,
10,11,13,17,18,20,21,22,23,24,25,26,27,29,30,40,46,47,50,54,55,56,58,59,66,67,
70,84,85,88,101,102,107,112,115,116,118,120,122,132,154,157,164,165,169,170,
171,172,173,176,177,181,182,184,186,188,220,225,226,227,229,231,232,265,267,
269,300],[1,2,4,7,16,20,32,33,64,65,90,109,135,158,194,236,271,301],[1,2,4,8,
16,22,32,33,64,65,90,110,111,135,160,162,194,236,272,302],[1,3,4,6,9,14,17,24,
32,40,41,42,62,67,68,69,89,94,108,116,134,136,156,173,196,237,273,303],[1,3,4,
6,10,14,17,25,32,40,41,42,62,67,68,69,89,94,113,115,117,134,136,166,169,174,
196,237,274,304],[1,2,4,8,16,28,32,33,64,65,90,110,111,135,189,194,236,272,
305],[1,2,4,7,16,21,32,33,64,65,90,109,135,161,194,236,271,306],[1,2,4,8,16,
23,32,33,64,65,90,110,111,135,159,194,236,272,307],[1,3,4,6,9,14,17,27,32,40,
41,42,62,67,68,69,89,94,108,116,134,136,163,165,196,237,273,308],[1,3,4,6,10,
14,17,26,32,40,41,42,62,67,68,69,89,94,113,115,117,134,136,167,170,196,237,
274,309],[1,2,3,4,7,8,11,14,16,19,29,32,33,48,62,64,65,71,72,90,109,110,111,
121,124,135,138,148,175,194,214,236,238,271,272,275,310],[1,2,3,4,6,9,10,11,
13,14,16,17,18,19,30,32,40,41,42,47,48,62,64,66,67,68,69,70,71,77,78,89,94,
108,113,115,116,117,120,121,125,134,136,137,141,147,150,177,178,196,215,216,
237,240,241,273,274,276,311],[1,2,4,6,8,16,18,22,32,40,41,42,50,64,70,77,89,
94,110,122,137,147,160,182,196,213,241,279,312],[1,2,4,6,8,16,18,23,32,40,41,
42,50,64,70,77,89,94,110,122,137,147,159,181,196,213,241,279,313],[1,3,4,6,10,
13,19,25,32,40,41,42,49,66,71,78,89,94,112,123,141,150,171,180,196,209,240,
280,314],[1,3,4,6,10,13,19,26,32,40,41,42,49,66,71,78,89,94,112,123,141,150,
172,179,196,209,240,280,315],[1,3,4,10,14,19,25,32,33,49,62,71,72,90,113,123,
138,148,166,180,194,210,238,277,316],[1,3,4,10,14,19,26,32,33,49,62,71,72,90,
113,123,138,148,167,179,194,210,238,277,317],[1,3,4,5,10,15,19,26,32,34,35,36,
37,38,39,49,63,71,73,74,75,76,91,92,93,114,123,139,140,149,168,179,195,211,
212,239,278,318],[1,3,4,9,14,19,24,32,33,45,62,71,72,83,90,108,119,138,148,
156,187,194,206,238,251,283,319],[1,3,4,6,9,13,19,24,32,40,41,42,45,66,71,78,
83,89,94,107,119,141,150,157,187,196,207,240,252,282,320],[1,2,4,6,7,16,18,20,
32,40,41,42,46,64,70,77,84,89,94,109,118,137,147,158,188,196,205,241,250,281,
321],[1,2,3,4,9,10,11,14,16,19,30,32,33,45,48,49,62,64,65,71,72,87,90,108,113,
119,121,123,124,135,138,148,178,185,194,206,210,214,236,238,256,275,277,283,
322],[1,2,3,4,6,7,8,11,13,14,16,17,18,19,29,32,40,41,42,46,47,48,50,62,64,66,
67,68,69,70,71,77,78,88,89,94,109,110,118,120,121,122,125,134,136,137,141,147,
150,175,186,196,205,213,215,216,237,240,241,258,276,279,281,323],[1,2,3,4,6,9,
10,11,13,14,16,17,18,19,30,32,40,41,42,45,47,48,49,62,64,66,67,68,69,70,71,77,
78,87,89,94,107,112,119,120,121,123,125,134,136,137,141,147,150,176,185,196,
207,209,215,216,237,240,241,257,276,280,282,324],[1,3,4,6,9,13,19,27,32,40,41,
42,45,66,71,78,86,89,94,107,119,141,150,164,183,196,207,240,255,282,325],[1,2,
4,6,7,16,18,21,32,40,41,42,46,64,70,77,85,89,94,109,118,137,147,161,184,196,
205,241,253,281,326],[1,3,4,9,14,19,27,32,33,45,62,71,72,86,90,108,119,138,
148,163,183,194,206,238,254,283,327],[1,2,3,4,8,11,14,16,19,31,32,33,48,62,64,
65,71,72,90,110,111,121,124,135,138,148,190,194,214,236,238,272,275,328],[1,3,
4,5,9,15,19,27,32,35,36,37,38,45,71,73,74,75,76,86,91,95,119,142,149,183,197,
208,244,260,284,329],[1,2,6,8,12,18,23,28,40,43,50,53,70,80,82,122,130,181,
218,330],[1,4,5,6,32,33,34,35,36,37,38,39,40,41,42,89,90,91,92,93,94,95,96,97,
98,99,194,195,196,197,198,199,200,201,262,263,264,331],[1,2,4,12,16,32,33,43,
64,65,90,135,194,236,286,332],[1,3,4,12,14,19,32,33,44,62,71,72,90,138,148,
194,238,286,333],[1,2,4,5,6,7,16,18,32,33,35,36,37,38,41,46,64,65,77,89,90,91,
97,98,109,135,137,152,194,199,200,205,236,242,262,271,292,334],[1,3,4,5,6,9,
14,17,19,32,33,35,36,37,38,40,41,42,45,62,67,68,69,72,89,90,91,94,98,99,108,
116,134,136,138,151,196,200,201,206,237,243,264,273,293,335],[1,2,4,5,6,8,16,
18,32,33,35,36,37,38,41,50,64,65,77,89,90,91,97,98,110,111,135,137,152,194,
199,200,213,236,242,262,272,292,336],[1,3,4,5,6,10,14,17,19,32,33,35,36,37,38,
40,41,42,49,62,67,68,69,72,89,90,91,94,98,99,113,115,117,134,136,138,151,196,
200,201,210,237,243,264,274,293,337],[1,2,3,4,5,6,11,13,14,15,16,17,18,19,32,
33,35,36,37,38,40,41,42,47,48,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,
89,90,91,94,98,99,120,121,124,125,134,135,136,137,138,141,145,146,147,148,149,
150,151,152,196,200,201,214,215,216,217,237,240,241,242,243,247,248,264,276,
285,293,295,298,338],[1,2,3,4,5,6,11,13,14,15,16,17,18,19,32,33,35,36,37,38,
41,47,48,62,64,65,68,71,72,73,74,75,76,77,78,89,90,91,97,98,121,124,125,134,
135,137,138,144,145,148,149,150,151,152,194,199,200,214,215,217,236,238,242,
243,245,247,262,275,285,292,294,296,339],[1,2,3,4,7,8,11,14,16,19,28,29,31,32,
33,48,51,62,64,65,71,72,90,109,110,111,121,124,135,138,148,175,189,190,194,
214,236,238,271,272,275,305,310,328,340],[1,2,4,7,16,20,32,33,52,64,65,90,109,
135,158,194,236,271,301,341],[1,2,3,4,8,11,14,16,19,23,31,32,33,48,60,62,64,
65,71,72,90,110,111,121,124,135,138,148,159,190,194,214,236,238,272,275,307,
328,342],[1,2,3,4,7,8,9,10,11,14,16,19,29,30,32,33,45,48,49,54,62,64,65,71,72,
87,90,108,109,110,111,113,119,121,123,124,135,138,148,175,178,185,194,206,210,
214,228,236,238,256,271,272,275,277,283,310,322,343],[1,2,3,4,6,7,8,9,10,11,
13,14,16,17,18,19,29,30,32,40,41,42,45,46,47,48,49,50,54,62,64,66,67,68,69,70,
71,77,78,87,88,89,94,107,108,109,110,112,113,115,116,117,118,119,120,121,122,
123,125,134,136,137,141,147,150,175,176,177,178,185,186,196,205,207,209,213,
215,216,228,229,237,240,241,257,258,273,274,276,279,280,281,282,311,323,324,
344],[1,2,3,4,7,8,11,14,16,19,22,23,29,32,33,48,56,62,64,65,71,72,90,109,110,
111,121,124,135,138,148,159,160,162,175,194,214,224,236,238,271,272,275,302,
307,310,345],[1,2,3,4,7,8,11,14,16,19,20,21,29,32,33,48,55,62,64,65,71,72,90,
109,110,111,121,124,135,138,148,158,161,175,194,214,223,236,238,271,272,275,
301,306,310,346],[1,2,3,4,6,9,10,11,13,14,16,17,18,19,24,27,30,32,40,41,42,47,
48,59,62,64,66,67,68,69,70,71,77,78,89,94,108,113,115,116,117,120,121,125,134,
136,137,141,147,150,156,163,165,173,177,178,196,215,216,220,221,237,240,241,
273,274,276,303,308,311,347],[1,2,3,4,6,9,10,11,13,14,16,17,18,19,25,26,30,32,
40,41,42,47,48,58,62,64,66,67,68,69,70,71,77,78,89,94,108,113,115,116,117,120,
121,125,134,136,137,141,147,150,166,167,169,170,174,177,178,196,215,216,222,
226,237,240,241,273,274,276,304,309,311,348],[1,2,4,8,16,23,28,32,33,53,64,65,
90,110,111,135,159,189,194,236,272,305,307,349],[1,2,3,4,7,8,11,14,16,19,21,
29,32,33,48,57,62,64,65,71,72,90,109,110,111,121,124,135,138,148,161,175,194,
214,236,238,271,272,275,306,310,350],[1,2,3,4,9,10,11,14,16,19,24,27,30,32,33,
45,48,49,59,62,64,65,71,72,83,86,87,90,108,113,119,121,123,124,133,135,138,
148,156,163,178,183,185,187,194,206,210,214,221,230,236,238,251,254,256,275,
277,283,287,319,322,327,351],[1,2,3,4,6,9,10,11,13,14,16,17,18,19,24,27,30,32,
40,41,42,45,47,48,49,59,62,64,66,67,68,69,70,71,77,78,83,86,87,89,94,107,112,
119,120,121,123,125,133,134,136,137,141,147,150,157,164,176,183,185,187,196,
207,209,215,216,227,230,237,240,241,252,255,257,276,280,282,288,320,324,325,
352],[1,2,3,4,6,7,8,11,13,14,16,17,18,19,20,21,29,32,40,41,42,46,47,48,50,55,
62,64,66,67,68,69,70,71,77,78,84,85,88,89,94,109,110,118,120,121,122,125,132,
134,136,137,141,147,150,158,161,175,184,186,188,196,205,213,215,216,223,231,
237,240,241,250,253,258,276,279,281,289,321,323,326,353],[1,2,3,4,8,11,14,16,
19,22,28,31,32,33,48,61,62,64,65,71,72,90,110,111,121,124,135,138,148,160,162,
189,190,194,214,234,236,238,272,275,302,305,328,354],[1,2,3,4,6,9,10,11,13,14,
16,17,18,19,25,26,30,32,40,41,42,45,47,48,49,58,62,64,66,67,68,69,70,71,77,78,
87,89,94,107,112,119,120,121,123,125,134,136,137,141,147,150,171,172,176,179,
180,185,196,207,209,215,216,225,233,237,240,241,257,276,280,282,314,315,324,
355],[1,2,3,4,6,7,8,11,13,14,16,17,18,19,22,23,29,32,40,41,42,46,47,48,50,56,
62,64,66,67,68,69,70,71,77,78,88,89,94,109,110,118,120,121,122,125,134,136,
137,141,147,150,159,160,175,181,182,186,196,205,213,215,216,224,232,237,240,
241,258,276,279,281,312,313,323,356],[1,2,3,4,9,10,11,14,16,19,25,26,30,32,33,
45,48,49,58,62,64,65,71,72,87,90,108,113,119,121,123,124,135,138,148,166,167,
178,179,180,185,194,206,210,214,222,233,236,238,256,275,277,283,316,317,322,
357],[1,2,3,6,7,8,11,12,13,17,18,22,23,28,29,31,40,43,44,46,47,50,51,53,56,60,
61,66,67,70,79,80,81,82,88,103,118,120,122,128,129,130,131,181,182,186,203,
218,232,261,330,358],[1,3,4,5,6,13,14,15,19,32,33,34,35,36,37,38,39,40,41,42,
62,63,66,71,72,73,74,75,76,78,89,90,91,92,93,94,95,96,97,98,99,138,139,140,
141,142,143,144,145,146,148,149,150,194,195,196,197,198,199,200,201,238,239,
240,244,245,246,247,248,262,263,264,296,297,298,331,359],[1,2,4,5,6,16,18,32,
33,34,35,36,37,38,39,40,41,42,64,65,70,77,89,90,91,92,93,94,95,96,97,98,99,
135,137,147,152,194,195,196,197,198,199,200,201,236,241,242,262,263,264,292,
295,331,360],[1,3,4,5,6,14,17,19,32,33,34,35,36,37,38,39,40,41,42,62,67,68,69,
71,72,89,90,91,92,93,94,95,96,97,98,99,134,136,138,148,151,194,195,196,197,
198,199,200,201,237,238,243,262,263,264,293,294,331,361],[1,2,3,4,11,12,14,16,
19,32,33,43,44,48,62,64,65,71,72,79,90,121,124,135,138,148,194,214,236,238,
275,286,332,333,362],[1,2,4,8,12,16,32,33,43,64,65,80,90,110,111,135,194,236,
272,286,332,363],[1,2,4,7,12,16,32,33,43,64,65,81,90,109,135,194,236,271,286,
332,364],[1,2,4,5,6,8,16,18,28,32,33,35,36,37,38,41,64,65,77,82,89,90,91,97,
98,110,111,135,137,152,189,194,199,200,236,242,259,262,272,292,305,365],[1,2,
4,5,6,7,16,18,20,32,33,35,36,37,38,41,46,64,65,77,84,89,90,91,97,98,109,135,
137,152,158,194,199,200,205,236,242,250,262,271,292,301,334,366],[1,3,4,5,6,9,
14,17,19,24,32,33,35,36,37,38,40,41,42,45,62,67,68,69,72,83,89,90,91,94,98,99,
108,116,134,136,138,151,156,173,196,200,201,206,237,243,251,264,273,293,303,
335,367],[1,2,4,5,6,7,16,18,21,32,33,35,36,37,38,41,46,64,65,77,85,89,90,91,
97,98,109,135,137,152,161,194,199,200,205,236,242,253,262,271,292,306,334,
368],[1,3,4,5,6,9,14,17,19,27,32,33,35,36,37,38,40,41,42,45,62,67,68,69,72,86,
89,90,91,94,98,99,108,116,134,136,138,151,163,165,196,200,201,206,237,243,254,
264,273,293,308,335,369],[1,2,3,4,5,6,7,8,11,13,14,15,16,17,18,19,29,32,33,35,
36,37,38,41,46,47,48,50,62,64,65,68,71,72,73,74,75,76,77,78,88,89,90,91,97,98,
109,110,111,121,124,125,134,135,137,138,144,145,148,149,150,151,152,175,194,
199,200,205,213,214,215,217,236,238,242,243,245,247,258,262,271,272,275,285,
292,294,296,310,334,336,339,370],[1,2,3,4,5,6,9,10,11,13,14,15,16,17,18,19,30,
32,33,35,36,37,38,40,41,42,45,47,48,49,62,64,65,66,67,68,69,70,71,72,73,74,75,
76,77,78,87,89,90,91,94,98,99,108,113,115,116,117,120,121,124,125,134,135,136,
137,138,141,145,146,147,148,149,150,151,152,177,178,196,200,201,206,210,214,
215,216,217,237,240,241,242,243,247,248,256,264,273,274,276,285,293,295,298,
311,335,337,338,371],[1,2,3,4,7,8,11,14,16,19,20,21,28,29,31,32,33,48,51,55,
57,62,64,65,71,72,90,100,109,110,111,121,124,135,138,148,158,161,175,189,190,
194,214,223,236,238,271,272,275,301,305,306,310,328,340,346,350,372],[1,2,3,4,
7,8,11,14,16,19,22,23,28,29,31,32,33,48,51,53,56,60,61,62,64,65,71,72,90,103,
109,110,111,121,124,135,138,148,159,160,162,175,189,190,194,214,224,234,236,
238,271,272,275,302,305,307,310,328,340,342,345,349,354,373],[1,2,3,4,7,8,9,
10,11,14,16,19,20,21,22,23,29,30,32,33,45,48,49,54,55,56,62,64,65,71,72,87,90,
101,108,109,110,111,113,119,121,123,124,135,138,148,158,159,160,161,162,175,
178,185,194,206,210,214,223,224,228,236,238,256,266,271,272,275,277,283,301,
302,306,307,310,322,343,345,346,374],[1,2,3,4,6,7,8,9,10,11,13,14,16,17,18,19,
24,25,26,27,29,30,32,40,41,42,45,46,47,48,49,50,54,58,59,62,64,66,67,68,69,70,
71,77,78,87,88,89,94,102,107,108,109,110,112,113,115,116,117,118,119,120,121,
122,123,125,134,136,137,141,147,150,156,163,165,166,167,169,170,173,174,175,
176,177,178,185,186,196,205,207,209,213,215,216,220,221,222,226,228,229,237,
240,241,257,258,265,268,273,274,276,279,280,281,282,303,304,308,309,311,323,
324,344,347,348,375],[1,2,3,4,7,8,11,14,16,19,21,22,23,29,32,33,48,56,57,62,
64,65,71,72,90,104,109,110,111,121,124,135,138,148,159,160,161,162,175,194,
214,224,236,238,271,272,275,302,306,307,310,345,350,376],[1,2,3,4,7,8,9,10,11,
14,16,19,24,25,26,27,29,30,32,33,45,48,49,54,58,59,62,64,65,71,72,83,86,87,90,
102,108,109,110,111,113,119,121,123,124,133,135,138,148,156,163,166,167,175,
178,179,180,183,185,187,194,206,210,214,221,222,228,230,233,236,238,251,254,
256,268,270,271,272,275,277,283,287,310,316,317,319,322,327,343,351,357,377],[
1,2,3,4,6,7,8,9,10,11,13,14,16,17,18,19,20,21,22,23,29,30,32,40,41,42,45,46,
47,48,49,50,54,55,56,62,64,66,67,68,69,70,71,77,78,84,85,87,88,89,94,101,107,
108,109,110,112,113,115,116,117,118,119,120,121,122,123,125,132,134,136,137,
141,147,150,158,159,160,161,175,176,177,178,181,182,184,185,186,188,196,205,
207,209,213,215,216,223,224,228,229,231,232,237,240,241,250,253,257,258,266,
269,273,274,276,279,280,281,282,289,311,312,313,321,323,324,326,344,353,356,
378],[1,2,3,4,6,7,8,9,10,11,13,14,16,17,18,19,24,25,26,27,29,30,32,40,41,42,
45,46,47,48,49,50,54,58,59,62,64,66,67,68,69,70,71,77,78,83,86,87,88,89,94,
102,107,108,109,110,112,113,115,116,117,118,119,120,121,122,123,125,133,134,
136,137,141,147,150,157,164,171,172,175,176,177,178,179,180,183,185,186,187,
196,205,207,209,213,215,216,225,227,228,229,230,233,237,240,241,252,255,257,
258,267,270,273,274,276,279,280,281,282,288,311,314,315,320,323,324,325,344,
352,355,379],[1,2,3,4,7,8,11,14,16,19,20,21,29,32,33,48,52,55,62,64,65,71,72,
90,105,109,110,111,121,124,135,138,148,158,161,175,194,214,223,236,238,271,
272,275,301,306,310,341,346,380],[1,2,3,4,7,8,9,10,11,14,16,19,21,28,29,30,31,
32,33,45,48,49,51,54,57,62,64,65,71,72,87,90,106,108,109,110,111,113,119,121,
123,124,135,138,148,161,175,178,185,189,190,194,206,210,214,228,236,238,256,
271,272,275,277,283,305,306,310,322,328,340,343,350,381],[1,2,3,6,7,8,9,10,11,
12,13,17,18,20,21,22,23,28,29,30,31,40,43,44,46,47,50,51,53,54,55,56,57,60,61,
66,67,70,79,80,81,82,84,85,88,100,101,103,104,106,107,112,115,116,118,120,122,
126,127,128,129,130,131,132,153,176,177,181,182,184,186,188,192,202,203,204,
218,229,231,232,249,261,269,291,330,358,382],[1,3,4,5,6,9,13,14,15,19,32,33,
34,35,36,37,38,39,40,41,42,45,62,63,66,71,72,73,74,75,76,78,89,90,91,92,93,94,
95,96,97,98,99,107,108,119,138,139,140,141,142,143,144,145,146,148,149,150,
194,195,196,197,198,199,200,201,206,207,208,238,239,240,244,245,246,247,248,
262,263,264,282,283,284,296,297,298,331,359,383],[1,2,4,5,6,8,16,18,32,33,34,
35,36,37,38,39,40,41,42,50,64,65,70,77,89,90,91,92,93,94,95,96,97,98,99,110,
111,122,135,137,147,152,194,195,196,197,198,199,200,201,213,236,241,242,262,
263,264,272,279,292,295,331,336,360,384],[1,3,4,5,6,10,14,17,19,32,33,34,35,
36,37,38,39,40,41,42,49,62,67,68,69,71,72,89,90,91,92,93,94,95,96,97,98,99,
113,115,117,123,134,136,138,148,151,194,195,196,197,198,199,200,201,210,237,
238,243,262,263,264,274,277,293,294,331,337,361,385],[1,2,3,4,5,6,11,13,14,15,
16,17,18,19,32,33,34,35,36,37,38,39,40,41,42,47,48,62,63,64,65,66,67,68,69,70,
71,72,73,74,75,76,77,78,89,90,91,92,93,94,95,96,97,98,99,120,121,124,125,134,
135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,194,
195,196,197,198,199,200,201,214,215,216,217,236,237,238,239,240,241,242,243,
244,245,246,247,248,262,263,264,275,276,285,292,293,294,295,296,297,298,331,
338,339,359,360,361,386],[1,3,4,5,6,9,14,17,19,32,33,34,35,36,37,38,39,40,41,
42,45,62,67,68,69,71,72,89,90,91,92,93,94,95,96,97,98,99,108,116,119,134,136,
138,148,151,194,195,196,197,198,199,200,201,206,237,238,243,262,263,264,273,
283,293,294,331,335,361,387],[1,2,4,5,6,7,16,18,32,33,34,35,36,37,38,39,40,41,
42,46,64,65,70,77,89,90,91,92,93,94,95,96,97,98,99,109,118,135,137,147,152,
194,195,196,197,198,199,200,201,205,236,241,242,262,263,264,271,281,292,295,
331,334,360,388],[1,3,4,5,6,10,13,14,15,19,32,33,34,35,36,37,38,39,40,41,42,
49,62,63,66,71,72,73,74,75,76,78,89,90,91,92,93,94,95,96,97,98,99,112,113,114,
123,138,139,140,141,142,143,144,145,146,148,149,150,194,195,196,197,198,199,
200,201,209,210,211,212,238,239,240,244,245,246,247,248,262,263,264,277,278,
280,296,297,298,331,359,389],[1,2,4,7,12,16,21,32,33,43,64,65,81,90,109,126,
135,161,194,236,271,286,306,332,364,390],[1,2,3,4,7,8,11,12,14,16,19,29,32,33,
43,44,48,62,64,65,71,72,79,80,81,90,109,110,111,121,124,128,135,138,148,175,
194,214,236,238,271,272,275,286,310,332,333,362,363,364,391],[1,2,4,7,12,16,
20,32,33,43,64,65,81,90,109,127,135,158,194,236,271,286,301,332,364,392],[1,2,
3,4,5,6,8,11,13,14,15,16,17,18,19,22,28,31,32,33,35,36,37,38,41,47,48,61,62,
64,65,68,71,72,73,74,75,76,77,78,82,89,90,91,97,98,110,111,121,124,125,131,
134,135,137,138,144,145,148,149,150,151,152,160,162,189,190,194,199,200,214,
215,217,234,236,238,242,243,245,247,259,262,272,275,285,290,292,294,296,302,
305,328,339,354,365,393],[1,2,4,5,6,8,16,18,23,28,32,33,35,36,37,38,41,50,53,
64,65,77,82,89,90,91,97,98,110,111,130,135,137,152,159,189,194,199,200,213,
236,242,259,262,272,292,305,307,336,349,365,394],[1,2,3,4,5,6,7,8,11,14,16,18,
19,28,29,31,32,33,35,36,37,38,41,46,48,51,62,64,65,71,72,77,82,89,90,91,97,98,
109,110,111,121,124,129,135,137,138,148,152,175,189,190,194,199,200,205,214,
236,238,242,259,262,271,272,275,292,305,310,328,334,340,365,395],[1,2,3,4,5,6,
7,8,11,13,14,15,16,17,18,19,20,21,29,32,33,35,36,37,38,41,46,47,48,50,55,62,
64,65,68,71,72,73,74,75,76,77,78,84,85,88,89,90,91,97,98,109,110,111,121,124,
125,132,134,135,137,138,144,145,148,149,150,151,152,158,161,175,194,199,200,
205,213,214,215,217,223,236,238,242,243,245,247,250,253,258,262,271,272,275,
285,289,292,294,296,301,306,310,334,336,339,346,366,368,370,396],[1,2,3,4,5,6,
9,10,11,13,14,15,16,17,18,19,24,27,30,32,33,35,36,37,38,40,41,42,45,47,48,49,
59,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,83,86,87,89,90,91,94,98,99,
108,113,115,116,117,120,121,124,125,133,134,135,136,137,138,141,145,146,147,
148,149,150,151,152,156,163,165,173,177,178,196,200,201,206,210,214,215,216,
217,220,221,237,240,241,242,243,247,248,251,254,256,264,273,274,276,285,287,
293,295,298,303,308,311,335,337,338,347,367,369,371,397],[1,2,3,4,7,8,9,10,11,
14,16,19,20,21,22,23,29,30,32,33,45,48,49,52,54,55,56,62,64,65,71,72,87,90,
101,105,108,109,110,111,113,119,121,123,124,135,138,148,155,158,159,160,161,
162,175,178,185,194,206,210,214,223,224,228,236,238,256,266,271,272,275,277,
283,301,302,306,307,310,322,341,343,345,346,374,380,398],[1,2,3,4,7,8,9,10,11,
14,16,19,20,21,22,23,24,25,26,27,29,30,32,33,45,48,49,54,55,56,58,59,62,64,65,
71,72,83,86,87,90,101,102,108,109,110,111,113,119,121,123,124,133,135,138,148,
154,156,158,159,160,161,162,163,166,167,175,178,179,180,183,185,187,194,206,
210,214,221,222,223,224,228,230,233,236,238,251,254,256,266,268,270,271,272,
275,277,283,287,299,301,302,306,307,310,316,317,319,322,327,343,345,346,351,
357,374,377,399],[1,2,3,4,6,7,8,9,10,11,13,14,16,17,18,19,20,21,22,23,24,25,
26,27,29,30,32,40,41,42,45,46,47,48,49,50,54,55,56,58,59,62,64,66,67,68,69,70,
71,77,78,83,84,85,86,87,88,89,94,101,102,107,108,109,110,112,113,115,116,117,
118,119,120,121,122,123,125,132,133,134,136,137,141,147,150,154,156,157,158,
159,160,161,163,164,165,166,167,169,170,171,172,173,174,175,176,177,178,179,
180,181,182,183,184,185,186,187,188,196,205,207,209,213,215,216,220,221,222,
223,224,225,226,227,228,229,230,231,232,233,237,240,241,250,252,253,255,257,
258,265,266,267,268,269,270,273,274,276,279,280,281,282,288,289,299,300,303,
304,308,309,311,312,313,314,315,320,321,323,324,325,326,344,347,348,352,353,
355,356,375,378,379,400],[1,2,3,4,7,8,9,10,11,14,16,19,20,21,22,23,28,29,30,
31,32,33,45,48,49,51,53,54,55,56,57,60,61,62,64,65,71,72,87,90,100,101,103,
104,106,108,109,110,111,113,119,121,123,124,135,138,148,153,158,159,160,161,
162,175,178,185,189,190,194,206,210,214,223,224,228,234,236,238,256,266,271,
272,275,277,283,301,302,305,306,307,310,322,328,340,342,343,345,346,349,350,
354,372,373,374,376,381,401],[1,2,3,6,7,8,9,10,11,12,13,17,18,20,21,22,23,24,
25,26,27,28,29,30,31,40,43,44,46,47,50,51,52,53,54,55,56,57,58,59,60,61,66,67,
70,79,80,81,82,84,85,88,100,101,102,103,104,105,106,107,112,115,116,118,120,
122,126,127,128,129,130,131,132,153,154,155,157,164,165,169,170,171,172,173,
176,177,181,182,184,186,188,191,192,193,202,203,204,218,219,220,225,226,227,
229,231,232,235,249,261,265,267,269,291,300,330,358,382,402],[1,3,4,5,6,10,13,
14,15,19,25,32,33,34,35,36,37,38,39,40,41,42,49,62,63,66,71,72,73,74,75,76,78,
89,90,91,92,93,94,95,96,97,98,99,112,113,114,123,138,139,140,141,142,143,144,
145,146,148,149,150,166,171,180,194,195,196,197,198,199,200,201,209,210,211,
212,238,239,240,244,245,246,247,248,262,263,264,277,278,280,296,297,298,314,
316,331,359,389,403],[1,2,4,5,6,7,16,18,21,32,33,34,35,36,37,38,39,40,41,42,
46,64,65,70,77,85,89,90,91,92,93,94,95,96,97,98,99,109,118,135,137,147,152,
161,184,194,195,196,197,198,199,200,201,205,236,241,242,253,262,263,264,271,
281,292,295,306,326,331,334,360,368,388,404],[1,3,4,5,6,9,14,17,19,27,32,33,
34,35,36,37,38,39,40,41,42,45,62,67,68,69,71,72,86,89,90,91,92,93,94,95,96,97,
98,99,108,116,119,134,136,138,148,151,163,165,183,194,195,196,197,198,199,200,
201,206,237,238,243,254,262,263,264,273,283,293,294,308,327,331,335,361,369,
387,405],[1,2,3,4,5,6,9,10,11,13,14,15,16,17,18,19,30,32,33,34,35,36,37,38,39,
40,41,42,45,47,48,49,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,87,89,
90,91,92,93,94,95,96,97,98,99,107,108,112,113,114,119,120,121,123,124,125,134,
135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,176,
178,185,194,195,196,197,198,199,200,201,206,207,208,209,210,211,212,214,215,
216,217,236,237,238,239,240,241,242,243,244,245,246,247,248,256,257,262,263,
264,275,276,277,278,280,282,283,284,285,292,293,294,295,296,297,298,322,324,
331,338,339,359,360,361,383,386,389,406],[1,2,4,5,6,7,16,18,20,32,33,34,35,36,
37,38,39,40,41,42,46,64,65,70,77,84,89,90,91,92,93,94,95,96,97,98,99,109,118,
135,137,147,152,158,188,194,195,196,197,198,199,200,201,205,236,241,242,250,
262,263,264,271,281,292,295,301,321,331,334,360,366,388,407],[1,3,4,5,6,9,14,
17,19,24,32,33,34,35,36,37,38,39,40,41,42,45,62,67,68,69,71,72,83,89,90,91,92,
93,94,95,96,97,98,99,108,116,119,134,136,138,148,151,156,173,187,194,195,196,
197,198,199,200,201,206,237,238,243,251,262,263,264,273,283,293,294,303,319,
331,335,361,367,387,408],[1,3,4,5,6,10,13,14,15,19,26,32,33,34,35,36,37,38,39,
40,41,42,49,62,63,66,71,72,73,74,75,76,78,89,90,91,92,93,94,95,96,97,98,99,
112,113,114,123,138,139,140,141,142,143,144,145,146,148,149,150,167,168,172,
179,194,195,196,197,198,199,200,201,209,210,211,212,238,239,240,244,245,246,
247,248,262,263,264,277,278,280,296,297,298,315,317,318,331,359,389,409],[1,2,
4,5,6,8,16,18,22,32,33,34,35,36,37,38,39,40,41,42,50,64,65,70,77,89,90,91,92,
93,94,95,96,97,98,99,110,111,122,135,137,147,152,160,162,182,194,195,196,197,
198,199,200,201,213,236,241,242,262,263,264,272,279,292,295,302,312,331,336,
360,384,410],[1,3,4,5,6,10,14,17,19,25,32,33,34,35,36,37,38,39,40,41,42,49,62,
67,68,69,71,72,89,90,91,92,93,94,95,96,97,98,99,113,115,117,123,134,136,138,
148,151,166,169,174,180,194,195,196,197,198,199,200,201,210,237,238,243,262,
263,264,274,277,293,294,304,316,331,337,361,385,411],[1,3,4,5,6,9,13,14,15,19,
27,32,33,34,35,36,37,38,39,40,41,42,45,62,63,66,71,72,73,74,75,76,78,86,89,90,
91,92,93,94,95,96,97,98,99,107,108,119,138,139,140,141,142,143,144,145,146,
148,149,150,163,164,183,194,195,196,197,198,199,200,201,206,207,208,238,239,
240,244,245,246,247,248,254,255,260,262,263,264,282,283,284,296,297,298,325,
327,329,331,359,383,412],[1,3,4,5,6,9,13,14,15,19,24,32,33,34,35,36,37,38,39,
40,41,42,45,62,63,66,71,72,73,74,75,76,78,83,89,90,91,92,93,94,95,96,97,98,99,
107,108,119,138,139,140,141,142,143,144,145,146,148,149,150,156,157,187,194,
195,196,197,198,199,200,201,206,207,208,238,239,240,244,245,246,247,248,251,
252,262,263,264,282,283,284,296,297,298,319,320,331,359,383,413],[1,2,4,5,6,8,
16,18,23,32,33,34,35,36,37,38,39,40,41,42,50,64,65,70,77,89,90,91,92,93,94,95,
96,97,98,99,110,111,122,135,137,147,152,159,181,194,195,196,197,198,199,200,
201,213,236,241,242,262,263,264,272,279,292,295,307,313,331,336,360,384,414],[
1,3,4,5,6,10,14,17,19,26,32,33,34,35,36,37,38,39,40,41,42,49,62,67,68,69,71,
72,89,90,91,92,93,94,95,96,97,98,99,113,115,117,123,134,136,138,148,151,167,
170,179,194,195,196,197,198,199,200,201,210,237,238,243,262,263,264,274,277,
293,294,309,317,331,337,361,385,415],[1,2,3,4,5,6,7,8,11,13,14,15,16,17,18,19,
29,32,33,34,35,36,37,38,39,40,41,42,46,47,48,50,62,63,64,65,66,67,68,69,70,71,
72,73,74,75,76,77,78,88,89,90,91,92,93,94,95,96,97,98,99,109,110,111,118,120,
121,122,124,125,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,
149,150,151,152,175,186,194,195,196,197,198,199,200,201,205,213,214,215,216,
217,236,237,238,239,240,241,242,243,244,245,246,247,248,258,262,263,264,271,
272,275,276,279,281,285,292,293,294,295,296,297,298,310,323,331,334,336,338,
339,359,360,361,370,384,386,388,416],[1,2,3,4,5,6,9,10,11,13,14,15,16,17,18,
19,30,32,33,34,35,36,37,38,39,40,41,42,45,47,48,49,62,63,64,65,66,67,68,69,70,
71,72,73,74,75,76,77,78,87,89,90,91,92,93,94,95,96,97,98,99,108,113,115,116,
117,119,120,121,123,124,125,134,135,136,137,138,139,140,141,142,143,144,145,
146,147,148,149,150,151,152,177,178,185,194,195,196,197,198,199,200,201,206,
210,214,215,216,217,236,237,238,239,240,241,242,243,244,245,246,247,248,256,
262,263,264,273,274,275,276,277,283,285,292,293,294,295,296,297,298,311,322,
331,335,337,338,339,359,360,361,371,385,386,387,417],[1,2,4,7,12,16,20,32,33,
43,52,64,65,81,90,109,127,135,158,193,194,236,271,286,301,332,341,364,392,
418],[1,2,4,7,12,16,20,32,33,43,52,64,65,81,90,109,127,135,158,191,194,236,
271,286,301,332,341,364,392,419],[1,2,3,4,7,8,11,12,14,16,19,20,21,29,32,33,
43,44,48,55,62,64,65,71,72,79,80,81,90,109,110,111,121,124,126,127,128,135,
138,148,158,161,175,192,194,214,223,236,238,271,272,275,286,301,306,310,332,
333,346,362,363,364,390,391,392,420],[1,2,3,4,5,6,7,8,9,10,11,14,16,18,19,21,
28,29,30,31,32,33,35,36,37,38,41,45,46,48,49,51,54,57,62,64,65,71,72,77,82,85,
87,89,90,91,97,98,106,108,109,110,111,113,119,121,123,124,129,135,137,138,148,
152,161,175,178,185,189,190,194,199,200,202,205,206,210,214,228,236,238,242,
253,256,259,262,271,272,275,277,283,292,305,306,310,322,328,334,340,343,350,
365,368,381,395,421],[1,2,3,4,5,6,7,8,11,13,14,15,16,17,18,19,22,23,28,29,31,
32,33,35,36,37,38,41,46,47,48,50,51,53,56,60,61,62,64,65,68,71,72,73,74,75,76,
77,78,82,88,89,90,91,97,98,103,109,110,111,121,124,125,129,130,131,134,135,
137,138,144,145,148,149,150,151,152,159,160,162,175,189,190,194,199,200,203,
205,213,214,215,217,224,234,236,238,242,243,245,247,258,259,262,271,272,275,
285,290,292,294,296,302,305,307,310,328,334,336,339,340,342,345,349,354,365,
370,373,393,394,395,422],[1,2,3,4,5,6,7,8,11,14,16,18,19,20,21,28,29,31,32,33,
35,36,37,38,41,46,48,51,55,57,62,64,65,71,72,77,82,84,89,90,91,97,98,100,109,
110,111,121,124,129,135,137,138,148,152,158,161,175,189,190,194,199,200,204,
205,214,223,236,238,242,250,259,262,271,272,275,292,301,305,306,310,328,334,
340,346,350,365,366,372,395,423],[1,2,4,5,6,8,12,16,18,28,32,33,35,36,37,38,
41,43,50,64,65,77,80,82,89,90,91,97,98,110,111,135,137,152,189,194,199,200,
213,218,236,242,259,262,272,286,292,305,332,336,363,365,424],[1,2,3,4,7,8,9,
10,11,14,16,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,45,48,49,51,52,53,54,
55,56,57,58,59,60,61,62,64,65,71,72,83,86,87,90,100,101,102,103,104,105,106,
108,109,110,111,113,119,121,123,124,133,135,138,148,153,154,155,156,158,159,
160,161,162,163,166,167,175,178,179,180,183,185,187,189,190,194,206,210,214,
219,221,222,223,224,228,230,233,234,236,238,251,254,256,266,268,270,271,272,
275,277,283,287,299,301,302,305,306,307,310,316,317,319,322,327,328,340,341,
342,343,345,346,349,350,351,354,357,372,373,374,376,377,380,381,398,399,401,
425],[1,2,3,4,5,6,9,10,11,13,14,15,16,17,18,19,24,27,30,32,33,34,35,36,37,38,
39,40,41,42,45,47,48,49,59,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,
83,86,87,89,90,91,92,93,94,95,96,97,98,99,108,113,115,116,117,119,120,121,123,
124,125,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,
150,151,152,156,163,165,173,177,178,183,185,187,194,195,196,197,198,199,200,
201,206,210,214,215,216,217,220,221,230,236,237,238,239,240,241,242,243,244,
245,246,247,248,251,254,256,262,263,264,273,274,275,276,277,283,285,287,292,
293,294,295,296,297,298,303,308,311,319,322,327,331,335,337,338,339,347,351,
359,360,361,367,369,371,385,386,387,397,405,408,417,426],[1,2,3,4,5,6,7,8,11,
13,14,15,16,17,18,19,20,21,29,32,33,34,35,36,37,38,39,40,41,42,46,47,48,50,55,
62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,84,85,88,89,90,91,92,93,94,
95,96,97,98,99,109,110,111,118,120,121,122,124,125,132,134,135,136,137,138,
139,140,141,142,143,144,145,146,147,148,149,150,151,152,158,161,175,184,186,
188,194,195,196,197,198,199,200,201,205,213,214,215,216,217,223,231,236,237,
238,239,240,241,242,243,244,245,246,247,248,250,253,258,262,263,264,271,272,
275,276,279,281,285,289,292,293,294,295,296,297,298,301,306,310,321,323,326,
331,334,336,338,339,346,353,359,360,361,366,368,370,384,386,388,396,404,407,
416,427],[1,2,3,4,5,6,7,8,9,10,11,13,14,15,16,17,18,19,29,30,32,33,34,35,36,
37,38,39,40,41,42,45,46,47,48,49,50,54,62,63,64,65,66,67,68,69,70,71,72,73,74,
75,76,77,78,87,88,89,90,91,92,93,94,95,96,97,98,99,107,108,109,110,111,112,
113,114,115,116,117,118,119,120,121,122,123,124,125,134,135,136,137,138,139,
140,141,142,143,144,145,146,147,148,149,150,151,152,175,176,177,178,185,186,
194,195,196,197,198,199,200,201,205,206,207,208,209,210,211,212,213,214,215,
216,217,228,229,236,237,238,239,240,241,242,243,244,245,246,247,248,256,257,
258,262,263,264,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,
292,293,294,295,296,297,298,310,311,322,323,324,331,334,335,336,337,338,339,
343,344,359,360,361,370,371,383,384,385,386,387,388,389,406,416,417,428],[1,2,
3,4,5,6,9,10,11,13,14,15,16,17,18,19,24,27,30,32,33,34,35,36,37,38,39,40,41,
42,45,47,48,49,59,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,83,86,87,
89,90,91,92,93,94,95,96,97,98,99,107,108,112,113,114,119,120,121,123,124,125,
133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,
152,156,157,163,164,176,178,183,185,187,194,195,196,197,198,199,200,201,206,
207,208,209,210,211,212,214,215,216,217,221,227,230,236,237,238,239,240,241,
242,243,244,245,246,247,248,251,252,254,255,256,257,260,262,263,264,275,276,
277,278,280,282,283,284,285,287,288,292,293,294,295,296,297,298,319,320,322,
324,325,327,329,331,338,339,351,352,359,360,361,383,386,389,406,412,413,429],[
1,2,3,4,5,6,7,8,11,13,14,15,16,17,18,19,22,23,29,32,33,34,35,36,37,38,39,40,
41,42,46,47,48,50,56,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,88,89,
90,91,92,93,94,95,96,97,98,99,109,110,111,118,120,121,122,124,125,134,135,136,
137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,159,160,162,
175,181,182,186,194,195,196,197,198,199,200,201,205,213,214,215,216,217,224,
232,236,237,238,239,240,241,242,243,244,245,246,247,248,258,262,263,264,271,
272,275,276,279,281,285,292,293,294,295,296,297,298,302,307,310,312,313,323,
331,334,336,338,339,345,356,359,360,361,370,384,386,388,410,414,416,430],[1,2,
3,4,5,6,9,10,11,13,14,15,16,17,18,19,25,26,30,32,33,34,35,36,37,38,39,40,41,
42,45,47,48,49,58,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,87,89,90,
91,92,93,94,95,96,97,98,99,108,113,115,116,117,119,120,121,123,124,125,134,
135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,166,
167,169,170,174,177,178,179,180,185,194,195,196,197,198,199,200,201,206,210,
214,215,216,217,222,226,233,236,237,238,239,240,241,242,243,244,245,246,247,
248,256,262,263,264,273,274,275,276,277,283,285,292,293,294,295,296,297,298,
304,309,311,316,317,322,331,335,337,338,339,348,357,359,360,361,371,385,386,
387,411,415,417,431],[1,2,3,4,5,6,9,10,11,13,14,15,16,17,18,19,25,26,30,32,33,
34,35,36,37,38,39,40,41,42,45,47,48,49,58,62,63,64,65,66,67,68,69,70,71,72,73,
74,75,76,77,78,87,89,90,91,92,93,94,95,96,97,98,99,107,108,112,113,114,119,
120,121,123,124,125,134,135,136,137,138,139,140,141,142,143,144,145,146,147,
148,149,150,151,152,166,167,168,171,172,176,178,179,180,185,194,195,196,197,
198,199,200,201,206,207,208,209,210,211,212,214,215,216,217,222,225,233,236,
237,238,239,240,241,242,243,244,245,246,247,248,256,257,262,263,264,275,276,
277,278,280,282,283,284,285,292,293,294,295,296,297,298,314,315,316,317,318,
322,324,331,338,339,355,357,359,360,361,383,386,389,403,406,409,432],[1,2,3,4,
7,8,11,12,14,16,19,20,21,29,32,33,43,44,48,52,55,62,64,65,71,72,79,80,81,90,
105,109,110,111,121,124,126,127,128,135,138,148,158,161,175,191,192,193,194,
214,223,235,236,238,271,272,275,286,301,306,310,332,333,341,346,362,363,364,
380,390,391,392,418,419,420,433],[1,2,3,4,5,6,7,8,9,10,11,13,14,15,16,17,18,
19,20,21,22,23,28,29,30,31,32,33,35,36,37,38,41,45,46,47,48,49,50,51,53,54,55,
56,57,60,61,62,64,65,68,71,72,73,74,75,76,77,78,82,84,85,87,88,89,90,91,97,98,
100,101,103,104,106,108,109,110,111,113,119,121,123,124,125,129,130,131,132,
134,135,137,138,144,145,148,149,150,151,152,153,158,159,160,161,162,175,178,
185,189,190,194,199,200,202,203,204,205,206,210,213,214,215,217,223,224,228,
234,236,238,242,243,245,247,249,250,253,256,258,259,262,266,271,272,275,277,
283,285,289,290,292,294,296,301,302,305,306,307,310,322,328,334,336,339,340,
342,343,345,346,349,350,354,365,366,368,370,372,373,374,376,381,393,394,395,
396,401,421,422,423,434],[1,2,3,4,5,6,7,8,11,12,13,14,15,16,17,18,19,28,29,31,
32,33,35,36,37,38,41,43,44,46,47,48,50,51,62,64,65,68,71,72,73,74,75,76,77,78,
79,80,81,82,88,89,90,91,97,98,109,110,111,121,124,125,128,129,134,135,137,138,
144,145,148,149,150,151,152,175,189,190,194,199,200,205,213,214,215,217,218,
236,238,242,243,245,247,258,259,261,262,271,272,275,285,286,292,294,296,305,
310,328,332,333,334,336,339,340,362,363,364,365,370,391,395,424,435],[1,2,3,4,
5,6,7,8,9,10,11,13,14,15,16,17,18,19,24,25,26,27,29,30,32,33,34,35,36,37,38,
39,40,41,42,45,46,47,48,49,50,54,58,59,62,63,64,65,66,67,68,69,70,71,72,73,74,
75,76,77,78,83,86,87,88,89,90,91,92,93,94,95,96,97,98,99,102,107,108,109,110,
111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,133,134,135,136,
137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,156,163,165,
166,167,169,170,173,174,175,176,177,178,179,180,183,185,186,187,194,195,196,
197,198,199,200,201,205,206,207,208,209,210,211,212,213,214,215,216,217,220,
221,222,226,228,229,230,233,236,237,238,239,240,241,242,243,244,245,246,247,
248,251,254,256,257,258,262,263,264,265,268,270,271,272,273,274,275,276,277,
278,279,280,281,282,283,284,285,287,292,293,294,295,296,297,298,303,304,308,
309,310,311,316,317,319,322,323,324,327,331,334,335,336,337,338,339,343,344,
347,348,351,357,359,360,361,367,369,370,371,375,377,383,384,385,386,387,388,
389,397,405,406,408,411,415,416,417,426,428,431,436],[1,2,3,4,5,6,7,8,9,10,11,
13,14,15,16,17,18,19,20,21,22,23,29,30,32,33,34,35,36,37,38,39,40,41,42,45,46,
47,48,49,50,54,55,56,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,84,85,
87,88,89,90,91,92,93,94,95,96,97,98,99,101,107,108,109,110,111,112,113,114,
115,116,117,118,119,120,121,122,123,124,125,132,134,135,136,137,138,139,140,
141,142,143,144,145,146,147,148,149,150,151,152,158,159,160,161,162,175,176,
177,178,181,182,184,185,186,188,194,195,196,197,198,199,200,201,205,206,207,
208,209,210,211,212,213,214,215,216,217,223,224,228,229,231,232,236,237,238,
239,240,241,242,243,244,245,246,247,248,250,253,256,257,258,262,263,264,266,
269,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,289,292,293,
294,295,296,297,298,301,302,306,307,310,311,312,313,321,322,323,324,326,331,
334,335,336,337,338,339,343,344,345,346,353,356,359,360,361,366,368,370,371,
374,378,383,384,385,386,387,388,389,396,404,406,407,410,414,416,417,427,428,
430,437],[1,2,3,4,5,6,7,8,9,10,11,13,14,15,16,17,18,19,24,25,26,27,29,30,32,
33,34,35,36,37,38,39,40,41,42,45,46,47,48,49,50,54,58,59,62,63,64,65,66,67,68,
69,70,71,72,73,74,75,76,77,78,83,86,87,88,89,90,91,92,93,94,95,96,97,98,99,
102,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,
125,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,
151,152,156,157,163,164,166,167,168,171,172,175,176,177,178,179,180,183,185,
186,187,194,195,196,197,198,199,200,201,205,206,207,208,209,210,211,212,213,
214,215,216,217,221,222,225,227,228,229,230,233,236,237,238,239,240,241,242,
243,244,245,246,247,248,251,252,254,255,256,257,258,260,262,263,264,267,268,
270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,287,288,292,
293,294,295,296,297,298,310,311,314,315,316,317,318,319,320,322,323,324,325,
327,329,331,334,335,336,337,338,339,343,344,351,352,355,357,359,360,361,370,
371,377,379,383,384,385,386,387,388,389,403,406,409,412,413,416,417,428,429,
432,438],[1,2,3,4,5,6,7,8,11,12,13,14,15,16,17,18,19,20,21,28,29,31,32,33,35,
36,37,38,41,43,44,46,47,48,50,51,55,57,62,64,65,68,71,72,73,74,75,76,77,78,79,
80,81,82,84,85,88,89,90,91,97,98,100,109,110,111,121,124,125,126,127,128,129,
132,134,135,137,138,144,145,148,149,150,151,152,158,161,175,189,190,192,194,
199,200,204,205,213,214,215,217,218,223,236,238,242,243,245,247,250,253,258,
259,261,262,271,272,275,285,286,289,291,292,294,296,301,305,306,310,328,332,
333,334,336,339,340,346,350,362,363,364,365,366,368,370,372,390,391,392,395,
396,420,423,424,435,439],[1,2,3,4,5,6,7,8,9,10,11,13,14,15,16,17,18,19,20,21,
22,23,24,25,26,27,29,30,32,33,34,35,36,37,38,39,40,41,42,45,46,47,48,49,50,54,
55,56,58,59,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,83,84,85,86,87,
88,89,90,91,92,93,94,95,96,97,98,99,101,102,107,108,109,110,111,112,113,114,
115,116,117,118,119,120,121,122,123,124,125,132,133,134,135,136,137,138,139,
140,141,142,143,144,145,146,147,148,149,150,151,152,154,156,157,158,159,160,
161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,
180,181,182,183,184,185,186,187,188,194,195,196,197,198,199,200,201,205,206,
207,208,209,210,211,212,213,214,215,216,217,220,221,222,223,224,225,226,227,
228,229,230,231,232,233,236,237,238,239,240,241,242,243,244,245,246,247,248,
250,251,252,253,254,255,256,257,258,260,262,263,264,265,266,267,268,269,270,
271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,287,288,289,292,
293,294,295,296,297,298,299,300,301,302,303,304,306,307,308,309,310,311,312,
313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,329,331,334,335,
336,337,338,339,343,344,345,346,347,348,351,352,353,355,356,357,359,360,361,
366,367,368,369,370,371,374,375,377,378,379,383,384,385,386,387,388,389,396,
397,399,400,403,404,405,406,407,408,409,410,411,412,413,414,415,416,417,426,
427,428,429,430,431,432,436,437,438,440],[1,2,4,5,6,8,12,16,18,23,28,32,33,34,
35,36,37,38,39,40,41,42,43,50,53,64,65,70,77,80,82,89,90,91,92,93,94,95,96,97,
98,99,110,111,122,130,135,137,147,152,159,181,189,194,195,196,197,198,199,200,
201,213,218,236,241,242,259,262,263,264,272,279,286,292,295,305,307,313,330,
331,332,336,349,360,363,365,384,394,414,424,441],[1,2,3,4,5,6,7,8,11,12,13,14,
15,16,17,18,19,22,23,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,
50,51,53,56,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,
82,88,89,90,91,92,93,94,95,96,97,98,99,103,109,110,111,118,120,121,122,124,
125,128,129,130,131,134,135,136,137,138,139,140,141,142,143,144,145,146,147,
148,149,150,151,152,159,160,162,175,181,182,186,189,190,194,195,196,197,198,
199,200,201,203,205,213,214,215,216,217,218,224,232,234,236,237,238,239,240,
241,242,243,244,245,246,247,248,258,259,261,262,263,264,271,272,275,276,279,
281,285,286,290,292,293,294,295,296,297,298,302,305,307,310,312,313,323,328,
330,331,332,333,334,336,338,339,340,342,345,349,354,356,358,359,360,361,362,
363,364,365,370,373,384,386,388,391,393,394,395,410,414,416,422,424,430,435,
441,442],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,28,29,
30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,
57,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,84,85,
87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,103,104,106,107,108,109,110,
111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,
130,131,132,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,
150,151,152,153,158,159,160,161,162,175,176,177,178,181,182,184,185,186,188,
189,190,192,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,
210,211,212,213,214,215,216,217,218,223,224,228,229,231,232,234,236,237,238,
239,240,241,242,243,244,245,246,247,248,249,250,253,256,257,258,259,261,262,
263,264,266,269,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,
286,289,290,291,292,293,294,295,296,297,298,301,302,305,306,307,310,311,312,
313,321,322,323,324,326,328,330,331,332,333,334,335,336,337,338,339,340,342,
343,344,345,346,349,350,353,354,356,358,359,360,361,362,363,364,365,366,368,
370,371,372,373,374,376,378,381,382,383,384,385,386,387,388,389,390,391,392,
393,394,395,396,401,404,406,407,410,414,416,417,420,421,422,423,424,427,428,
430,434,435,437,439,441,442,443],[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]],
0,[[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],[1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,1,1,1],[1,1,1,
1],[1,1,1,1],[1,1,1,1],[1,1,1,1],[1,1,1,1],[1,1,1,1],[1,1,1,1],[1,1,1,1],[1,1,
1,1],[1,1,3,1],[1,1,2,1,1,1,1],[1,1,2,1,1,1,1],[1,1,4,1,2,1],[1,4,1],[1,4,1],[
1,4,1],[1,1,3,1],[1,1,3,1],[1,1,3,1],[1,1,3,1],[1,4,1],[1,4,1],[1,1,3,1],[1,4,
1],[1,1,1,1],[1,5,1,1],[1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,6,1,3,1,1,1,1],[1,3,4,
1,3,1,1,1,1],[1,1,1,3,1,1],[1,1,1,3,1,1],[1,1,6,1,3,3,1,3,3,1],[1,1,1,1,1],[1,
1,5,1,2,1],[1,1,2,1,1,2,2,1,1,2,1],[1,1,2,1,1,1,1,1,1,1],[1,1,2,1,1,1,1,1,1,
1],[1,1,2,1,1,1,2,1,1],[1,1,2,1,1,1,1,1,1,1],[1,1,2,1,1,1,1,1,1,1],[1,1,8,1,4,
1,2,1],[1,1,4,3,2,1,1,1,1],[1,9,4,12,1,1],[1,9,4,12,1,1],[1,9,4,12,1,1],[1,9,
4,12,1,1],[1,9,4,12,1,1],[1,9,4,12,1,1],[1,9,1,3,3,9,1,1],[1,9,4,12,1,1],[1,1,
4,4,1,1],[1,1,4,4,1,1],[1,3,4,1,3,1,1],[1,3,1,3,1,3,1,1],[1,3,1,3,1,3,1,1],[1,
3,1,3,1,3,1,1],[1,3,1,3,1,3,1,1],[1,3,1,3,1,3,1,1],[1,3,1,3,1,3,1,1],[1,1,10,
5,1,1,2,1],[1,1,5,1,1,1],[1,1,1,1,1,1],[1,1,4,3,4,1,1],[1,1,1,1,1,1,1,1],[1,1,
1,1,1,1,1,1],[1,1,1,1,1,3,1,1],[1,1,1,1,1,3,1,1],[1,3,4,1,1,3,3,1,1,1,3,1,1,1,
1],[1,1,6,1,1,3,3,1,1,1,3,1,1,1,1],[1,4,9,1,12,1],[1,13,1,12,1],[1,4,9,1,3,3,
3,3,1],[1,1,12,1,2,2,8,1],[1,1,12,1,2,2,8,1],[1,1,12,1,4,8,1],[1,1,12,4,1],[1,
1,12,2,1,1,1],[1,4,9,1,1,1,1,1],[1,4,6,3,1,2,1,1],[1,1,9,3,1,1,1,1,1],[1,1,6,
1,3,3,1,3,1,3,3,1,3,3,1],[1,1,2,1,1,2,2,1,1,1,1,1,1,2,1,1,1,1],[1,1,2,1,1,2,2,
1,1,1,1,1,1,2,1,1,1,1],[1,1,10,1,5,5,1,1,2,5,6,2,1,1,1,2,1],[1,1,2,1,1,1,4,1,
1,1,1,2,1],[1,1,2,1,1,1,1,1,1,2,1,1],[1,1,6,1,3,2,2,3,2,1,3,2,3,1,1,1,1],[1,9,
4,9,12,1,1,1],[1,9,4,9,12,1,1,1],[1,9,4,9,12,1,1,1],[1,9,4,9,12,1,1,1],[1,9,4,
9,12,1,1,1],[1,9,4,9,12,1,1,1],[1,9,4,9,12,1,1,1],[1,9,4,9,12,1,1,1],[1,9,4,9,
12,1,1,1],[1,9,4,9,12,1,1,1],[1,9,4,9,12,1,1,1],[1,1,4,1,4,1,4,1,1],[1,1,4,1,
4,1,4,1,1],[1,1,18,4,9,12,12,4,1,12,1,1,1,1],[1,9,10,4,9,12,12,4,1,12,1,1,1,
1],[1,1,4,9,4,1,12,1,1],[1,1,4,9,4,1,12,1,1],[1,9,6,4,9,2,12,6,1,6,1,2,1],[1,
3,12,1,3,9,1,3,1,9,3,3,1,3,3,1,1,1,1],[1,1,1,1,5,1,1,1],[1,1,1,1,1,1,1,1],[1,
1,10,1,5,5,1,5,1,2,1,1,1,1],[1,1,6,4,1,3,3,4,1,3,3,4,1,1,1],[1,1,4,9,4,3,4,4,
3,1,1],[1,1,12,4,3,6,4,4,4,3,1,3,4,3,1,1],[1,1,6,1,1,3,3,1,1,1,1,3,3,1,1,1,3,
1,1,1,1],[1,3,4,1,1,3,3,1,1,1,1,3,3,1,1,1,3,1,1,1,1],[1,27,4,9,36,81,1,12,3,
36,1,1],[1,27,13,117,1,12,3,36,1,1],[1,27,1,12,9,108,1,4,8,3,12,24,1,1],[1,9,
4,9,12,9,1,12,1,12,1,1],[1,9,13,12,9,1,12,1,12,1,1],[1,9,1,12,12,9,1,2,2,8,1,
6,6,1,1],[1,9,1,12,12,9,1,2,2,8,1,6,6,1,1],[1,9,1,12,12,9,1,4,8,1,12,1,1],[1,
9,1,12,12,9,4,12,1,1],[1,9,1,12,12,9,2,1,1,3,3,6,1,1],[1,9,4,9,3,9,9,1,1,1,1,
3,3,3,3,1,1],[1,9,4,6,3,3,3,6,9,1,2,1,3,6,3,1,1],[1,9,1,9,3,3,9,9,1,1,1,1,3,3,
3,3,1,1],[1,3,1,12,1,12,1,4,8,3,4,1,1],[1,3,13,1,12,1,12,3,4,1,1],[1,3,4,9,1,
12,1,3,3,3,3,3,1,1,1,1,1,1],[1,3,4,9,1,12,1,12,3,4,1,1],[1,9,4,6,3,3,9,9,1,2,
1,1,3,1,1],[1,9,4,6,3,12,9,1,2,1,1,3,1,1],[1,1,10,1,5,2,2,5,1,5,1,1,2,5,2,6,2,
1,1,5,1,6,1,2,2,1,1,1,2,1],[1,1,2,1,1,2,2,1,1,1,1,1,2,2,2,2,1,2,1,1,1,2,2,1,2,
1],[1,1,2,1,1,2,2,1,1,1,1,1,1,2,4,1,1,1,1,2,1],[1,9,4,9,12,9,1,1,1,1],[1,9,4,
9,12,9,1,1,1,1],[1,9,4,9,12,9,1,1,1,1],[1,9,4,9,12,9,1,1,1,1],[1,9,4,9,12,9,1,
1,1,1],[1,9,4,9,12,9,1,1,1,1],[1,9,4,9,12,9,1,1,1,1],[1,9,4,9,12,9,1,1,1,1],[
1,9,4,9,12,9,1,1,1,1],[1,9,4,9,12,9,1,1,1,1],[1,9,4,9,12,9,1,1,1,1],[1,9,4,9,
12,9,1,1,1,1],[1,9,4,9,12,9,1,1,1,1],[1,9,4,9,12,9,1,1,1,1],[1,9,4,9,12,9,1,1,
1,1],[1,9,4,9,12,9,1,1,1,1],[1,9,4,9,12,9,1,1,1,1],[1,9,4,9,12,9,1,1,1,1],[1,
9,4,9,12,9,1,1,1,1],[1,9,10,4,9,9,9,12,12,4,9,1,12,1,1,1,1,1,1,1],[1,1,18,4,9,
9,9,12,12,4,9,1,12,1,1,1,1,1,1,1],[1,1,18,4,9,9,9,12,12,4,9,1,12,1,1,1,1,1,1,
1],[1,9,10,4,9,9,9,12,12,4,9,1,12,1,1,1,1,1,1,1],[1,1,4,9,4,9,1,12,1,1,1],[1,
1,4,9,4,9,1,12,1,1,1],[1,1,4,9,4,9,1,12,1,1,1],[1,1,4,9,4,9,1,12,1,1,1],[1,1,
4,1,4,9,1,4,1,12,1,1],[1,1,4,1,4,9,1,4,1,12,1,1],[1,9,10,4,1,9,9,12,12,4,9,1,
4,12,12,1,1,1,12,1,1,1,1],[1,1,18,4,1,9,9,12,12,4,9,1,4,12,12,1,1,1,12,1,1,1,
1],[1,1,4,1,4,1,1,4,1,4,1,1],[1,1,4,1,4,1,1,4,1,4,1,1],[1,9,4,27,12,9,1,1,3,
1],[1,9,12,4,9,18,4,12,12,9,1,12,1,4,1,2,1],[1,1,1,1,1,1,5,1,1,1],[1,1,10,1,5,
5,1,1,5,5,1,2,5,1,1,1,1,1,1,1],[1,1,1,1,1,1,1,1,1,1],[1,40,10,120,40,1],[1,4,
36,1,9,12,12,12,12,72,4,18,18,1],[1,4,36,1,9,48,72,4,36,1],[1,4,36,1,12,12,12,
12,4,9,1],[1,4,36,1,12,12,12,12,4,9,1],[1,13,27,1,12,9,9,9,9,1,3,9,1],[1,13,
18,9,1,12,6,6,6,6,12,1,1,2,9,1],[1,4,27,9,1,9,9,9,9,12,1,3,9,1],[1,1,6,4,1,3,
6,6,3,4,6,1,3,6,3,4,1,3,3,1,4,3,1,1],[1,1,18,4,1,9,9,4,4,4,3,3,4,9,12,4,4,4,4,
3,3,3,6,1,4,3,1,1,1,1],[1,1,6,4,1,3,3,4,1,3,1,3,3,4,1,3,3,1,4,1,1,1],[1,9,4,9,
9,12,9,1,12,9,1,12,1,1,1,1],[1,9,13,9,12,9,1,12,9,1,12,1,1,1,1],[1,9,1,12,9,
12,9,1,4,8,9,1,12,1,1,1,1],[1,9,1,12,9,12,9,4,9,12,1,1,1],[1,9,1,12,27,12,9,1,
4,8,9,1,12,1,3,1,1],[1,9,13,27,12,9,1,12,9,1,12,1,3,1,1],[1,9,1,12,27,12,9,1,
2,2,8,9,1,6,6,1,3,1,1],[1,9,1,12,27,12,9,1,2,2,8,9,1,6,6,1,3,1,1],[1,9,4,9,27,
12,9,1,12,9,1,12,1,3,1,1],[1,27,12,13,27,13,117,21,1,12,45,1,3,36,3,16,1,3,12,
1,1,1,1],[1,9,30,4,9,27,1,36,12,81,9,12,1,12,9,36,3,1,36,3,12,4,1,3,12,1,1,1,
1],[1,3,36,1,12,27,12,9,1,108,12,9,1,4,8,36,9,1,3,12,24,3,4,12,1,3,12,1,1,1,
1],[1,9,18,4,6,3,27,3,6,6,12,9,9,18,1,2,1,9,18,1,1,6,6,3,3,1,3,3,1,1,1,1],[1,
1,10,15,6,10,5,6,10,6,5,1],[1,1,10,1,5,2,2,5,1,5,1,1,2,2,2,2,2,5,2,6,2,4,1,1,
5,1,6,2,2,1,2,2,1,2,1,1,2,2,1,1,1,1],[1,1,18,4,9,9,9,12,12,4,9,9,9,1,12,9,1,1,
1,1,1,1,1,1,1,1],[1,9,10,4,9,9,9,12,12,4,9,9,9,1,12,9,1,1,1,1,1,1,1,1,1,1],[1,
9,10,4,9,9,9,12,12,4,9,9,9,1,12,9,1,1,1,1,1,1,1,1,1,1],[1,9,10,4,9,9,9,12,12,
4,9,9,9,1,12,9,1,1,1,1,1,1,1,1,1,1],[1,9,10,4,9,9,9,12,12,4,9,9,9,1,12,9,1,1,
1,1,1,1,1,1,1,1],[1,1,18,4,9,9,9,12,12,4,9,9,9,1,12,9,1,1,1,1,1,1,1,1,1,1],[1,
1,18,4,9,9,9,12,12,4,9,9,9,1,12,9,1,1,1,1,1,1,1,1,1,1],[1,1,18,4,9,9,9,12,12,
4,9,9,9,1,12,9,1,1,1,1,1,1,1,1,1,1],[1,9,10,4,9,9,10,18,9,12,12,4,9,18,1,4,12,
12,9,1,1,1,12,1,1,1,1,1,1,1,1,1,1,1],[1,1,18,4,1,9,18,18,9,12,12,4,9,18,1,4,
12,12,9,1,1,1,12,1,1,1,1,1,1,1,1,1,1,1],[1,9,10,4,1,9,9,12,12,4,1,9,9,1,4,12,
12,9,1,1,1,4,12,12,1,1,1,12,1,1,1,1],[1,1,18,4,1,9,9,12,12,4,1,9,9,1,4,12,12,
9,1,1,1,4,12,12,1,1,1,12,1,1,1,1],[1,1,18,4,1,9,9,12,12,4,9,9,9,1,4,12,12,9,1,
1,1,12,1,1,1,1,1,1,1],[1,9,10,4,1,9,9,12,12,4,9,9,9,1,4,12,12,9,1,1,1,12,1,1,
1,1,1,1,1],[1,9,12,4,27,18,4,12,12,9,9,9,1,12,9,1,4,3,2,1,1,1,1],[1,1,10,1,5,
5,1,1,5,5,1,2,6,5,1,1,1,5,1,1,1,1,1,1,1],[1,81,40,1080,10,120,90,1080,40,120,
1,1],[1,81,4,36,108,972,1,9,48,72,9,81,432,648,4,36,12,108,1,1],[1,9,40,12,36,
10,120,1,9,48,40,4,12,1,1],[1,9,4,36,12,36,1,9,12,12,12,12,72,1,9,12,12,12,12,
4,18,18,2,2,12,1,1],[1,9,4,36,12,36,1,9,48,72,1,9,48,4,36,4,12,1,1],[1,9,4,36,
12,36,1,9,48,72,1,9,48,4,36,4,12,1,1],[1,27,13,18,9,117,27,1,12,6,6,6,6,12,3,
36,36,1,1,2,9,1,3,9,1,1],[1,27,13,18,9,36,81,27,1,12,6,6,6,6,12,3,36,36,1,1,2,
9,1,3,9,1,1],[1,9,4,36,12,36,1,12,12,12,12,9,12,12,12,12,4,9,1,12,1,1],[1,9,
13,27,3,9,36,1,12,9,9,9,9,9,12,9,9,9,9,1,3,9,1,3,9,1,1],[1,9,4,36,12,36,1,12,
12,12,12,9,12,12,12,12,4,9,1,12,1,1],[1,9,13,18,9,3,3,6,36,1,12,6,6,6,6,12,9,
12,6,6,6,6,12,1,1,2,9,1,3,6,3,1,1],[1,9,4,27,9,3,9,36,1,9,9,9,9,12,9,9,9,9,9,
12,1,3,9,1,9,3,1,1],[1,1,18,4,1,9,6,6,9,4,4,4,1,9,3,3,4,9,6,12,4,4,4,4,3,3,9,
3,12,3,6,1,4,4,4,4,3,3,3,6,1,1,1,4,3,1,1,1,1],[1,9,4,9,9,12,9,9,1,12,9,1,12,9,
1,1,1,1,1,1],[1,9,13,9,12,9,9,1,12,9,1,12,9,1,1,1,1,1,1],[1,9,1,12,9,12,9,9,1,
4,8,9,1,12,9,1,1,1,1,1,1],[1,9,4,9,9,12,9,27,1,12,9,1,12,9,1,1,1,3,1,1],[1,9,
13,9,12,9,27,1,12,9,1,12,9,1,1,1,3,1,1],[1,9,1,12,9,12,9,27,1,4,8,9,1,12,9,1,
1,1,3,1,1],[1,27,12,13,9,27,27,13,117,21,27,1,12,9,45,9,1,3,36,3,16,9,1,1,3,3,
12,1,1,1,3,1,1,1,1],[1,3,36,1,12,9,27,27,12,9,1,108,12,9,27,1,4,8,9,36,9,9,1,
3,12,24,3,4,12,9,1,1,3,3,12,1,1,1,3,1,1,1,1],[1,9,30,4,9,9,27,27,1,36,12,81,9,
12,27,1,12,9,9,36,9,3,1,36,3,12,4,9,1,1,3,3,12,1,1,1,3,1,1,1,1],[1,9,4,24,12,
27,12,36,9,1,8,4,1,12,9,4,3,4,1,1],[1,9,1,12,9,12,9,27,4,9,12,9,1,1,1,1],[1,1,
30,10,1,15,15,6,10,10,10,5,15,15,6,12,10,10,10,5,6,6,6,5,10,6,5,1,1],[1,40,72,
9,10,120,24,24,24,24,12,1,40,8,72,36,1,8,4,1],[1,13,99,9,1,12,9,33,33,33,33,
72,12,1,1,11,18,18,9,36,27,9,27,1,1,4,3,1,3,1],[1,13,72,36,1,12,24,24,24,24,9,
48,72,4,1,8,36,36,72,1,4,8,1],[1,1,18,4,1,9,18,18,9,12,12,4,9,9,9,9,9,18,1,4,
12,12,9,9,9,1,1,1,12,9,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,9,10,4,9,9,10,
18,9,12,12,4,9,9,9,9,9,18,1,4,12,12,9,9,9,1,1,1,12,9,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1],[1,1,18,4,1,9,18,18,9,12,12,4,9,9,9,9,9,18,1,4,12,12,9,9,9,1,1,1,
12,9,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,9,10,4,9,9,10,18,9,12,12,4,9,9,9,
9,9,18,1,4,12,12,9,9,9,1,1,1,12,9,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,
18,4,1,9,18,18,9,12,12,4,1,9,9,9,9,18,1,4,12,12,9,9,9,1,1,1,4,12,12,9,1,1,1,1,
1,1,1,12,1,1,1,1,1,1,1,1,1,1,1],[1,9,10,4,9,9,10,18,9,12,12,4,1,9,9,9,9,18,1,
4,12,12,9,9,9,1,1,1,4,12,12,9,1,1,1,1,1,1,1,12,1,1,1,1,1,1,1,1,1,1,1],[1,81,
40,81,1080,10,120,90,1080,40,90,120,1,1,1],[1,81,40,81,1080,10,120,90,1080,40,
18,72,120,1,1,1],[1,81,4,36,81,108,972,1,9,48,72,9,81,432,648,4,36,9,81,12,
108,1,1,1],[1,81,4,36,81,108,972,1,9,48,72,9,81,432,648,4,36,9,9,72,12,108,1,
1,1],[1,81,18,40,81,24,1080,72,10,120,216,2,90,1080,18,96,40,18,144,120,8,24,
1,24,1,2,1],[1,9,90,4,36,81,12,108,12,972,36,36,1,9,48,72,108,108,9,1,1,81,
432,648,9,9,48,48,4,36,9,9,144,12,108,4,4,12,12,1,12,12,1,1,1,1],[1,9,40,81,
12,36,10,120,108,1,9,48,40,9,9,4,12,1,12,1,1],[1,9,4,36,81,12,36,1,9,12,12,12,
12,72,108,1,9,12,12,12,12,4,18,18,9,9,2,2,12,1,6,6,1,1],[1,9,4,36,81,12,36,1,
9,48,72,108,1,9,48,4,36,9,9,4,12,1,12,1,1],[1,9,4,36,81,12,36,1,9,48,72,108,1,
9,48,4,36,9,9,4,12,1,12,1,1],[1,9,4,36,9,12,36,1,9,48,72,36,1,9,48,4,36,1,9,4,
12,1,4,1,1],[1,9,4,36,9,12,36,1,9,48,72,36,1,9,48,4,36,1,9,4,12,1,4,1,1],[1,9,
40,9,12,36,10,120,36,1,9,48,40,1,9,4,12,1,4,1,1],[1,9,4,36,9,12,36,1,12,12,12,
12,36,9,12,12,12,12,4,9,9,1,12,1,1,1,1],[1,27,36,13,18,9,81,3,39,6,117,81,27,
63,1,12,6,6,6,6,12,27,135,3,3,36,36,9,48,6,6,6,6,36,12,1,1,2,9,9,36,36,1,1,3,
3,1,3,6,3,9,9,1,3,3,3,1,1,1,1],[1,40,81,10,120,40,1,1],[1,27,12,13,9,27,27,13,
117,21,9,27,27,1,12,9,45,9,27,1,3,36,3,16,9,9,9,1,1,3,3,12,9,1,1,1,1,3,3,1,1,
1,3,1,1,1,1],[1,3,36,1,12,9,27,27,12,9,1,108,12,9,9,27,27,1,4,8,9,36,9,9,27,1,
3,12,24,3,4,12,9,9,9,1,1,3,3,12,9,1,1,1,1,3,3,1,1,1,3,1,1,1,1],[1,9,30,4,9,9,
27,27,1,36,12,81,9,12,9,27,27,1,12,9,9,36,9,27,3,1,36,3,12,4,9,9,9,1,1,3,3,12,
9,1,1,1,1,3,3,1,1,1,3,1,1,1,1],[1,9,36,4,24,12,27,54,12,12,24,12,36,36,36,27,
9,27,1,8,4,36,36,27,1,4,12,24,12,12,9,4,3,6,12,9,4,4,4,3,1,3,4,3,1,1],[1,1,30,
10,1,15,15,6,10,10,10,1,15,5,15,15,6,12,10,10,10,5,15,15,6,6,6,5,10,10,10,5,6,
6,6,5,10,6,5,1,1,1],[1,81,40,72,9,1080,81,10,120,24,24,24,24,12,90,1080,108,1,
40,8,72,36,120,9,108,1,8,4,1,12,1,1],[1,81,13,72,36,108,972,81,1,12,24,24,24,
24,9,48,72,9,81,432,648,108,4,1,8,36,36,72,12,108,9,108,1,4,8,1,12,1,1],[1,27,
40,72,9,36,81,108,10,120,24,24,24,24,12,3,36,27,144,1,40,8,72,36,1,12,36,36,1,
8,4,3,4,1,1],[1,27,13,72,36,117,108,1,12,24,24,24,24,9,48,72,3,36,27,144,4,1,
8,36,36,72,1,12,36,36,1,4,8,3,4,1,1],[1,27,40,72,9,9,36,72,108,10,120,24,24,
24,24,12,3,27,144,72,72,72,72,36,1,40,8,72,36,12,24,12,36,72,9,1,8,4,3,24,12,
1,1],[1,27,13,99,9,9,9,99,108,1,12,9,33,33,33,33,72,12,3,27,36,99,99,99,99,36,
1,1,11,18,18,9,36,27,9,27,6,6,3,12,9,3,9,9,99,9,1,1,4,3,1,3,3,3,9,12,3,9,1,
1],[1,27,13,72,36,36,9,72,108,1,12,24,24,24,24,9,48,72,3,27,36,72,72,72,72,
144,4,1,8,36,36,72,12,12,24,9,72,36,1,4,8,3,12,24,1,1],[1,9,10,4,9,9,10,18,9,
12,12,4,9,9,9,9,10,18,18,18,9,18,1,4,12,12,9,9,9,18,18,1,1,1,4,12,12,9,18,1,1,
1,1,1,1,1,12,9,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,18,4,
1,9,18,18,9,12,12,4,1,9,9,9,18,18,18,18,9,18,1,4,12,12,9,9,9,18,18,1,1,1,4,12,
12,9,18,1,1,1,1,1,1,1,12,9,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1],[1,81,40,81,1080,81,10,120,90,1080,40,90,120,90,1,1,1,1],[1,81,40,81,1080,
81,10,120,90,1080,40,18,72,120,18,72,1,1,1,1],[1,81,4,36,81,108,972,81,1,9,48,
72,9,81,432,648,4,36,9,81,12,108,9,81,1,1,1,1],[1,81,4,36,81,108,972,81,1,9,
48,72,9,81,432,648,4,36,9,9,72,12,108,9,9,72,1,1,1,1],[1,81,40,243,1080,81,10,
120,90,1080,40,54,216,120,36,1,1,3,1],[1,81,40,81,1080,81,10,120,90,1080,40,
90,120,18,1,1,1,1],[1,81,40,81,1080,81,10,120,90,1080,40,18,72,120,18,1,1,1,
1],[1,81,4,36,81,108,972,81,1,9,48,72,9,81,432,648,4,36,9,81,12,108,9,9,1,1,1,
1],[1,81,4,36,81,108,972,81,1,9,48,72,9,81,432,648,4,36,9,9,72,12,108,9,9,1,1,
1,1],[1,81,18,40,81,81,81,24,1080,72,81,10,120,216,2,90,1080,18,96,40,90,18,
72,18,144,120,8,24,18,1,24,1,2,1,1,1,1],[1,9,90,4,36,81,81,81,12,108,12,972,
36,36,81,1,9,48,72,108,108,9,1,1,81,432,648,9,9,48,48,4,36,9,9,9,81,72,9,9,
144,12,108,4,4,12,12,9,9,1,12,12,1,1,1,1,1,1,1],[1,9,4,36,81,12,36,81,1,9,48,
72,108,1,9,48,4,36,9,9,4,12,9,9,1,12,1,1,1],[1,9,4,36,81,12,36,81,1,9,48,72,
108,1,9,48,4,36,9,9,4,12,9,9,1,12,1,1,1],[1,9,4,36,81,12,36,81,1,9,48,72,108,
1,9,48,4,36,9,9,4,12,9,9,1,12,1,1,1],[1,9,4,36,81,12,36,81,1,9,48,72,108,1,9,
48,4,36,9,9,4,12,9,9,1,12,1,1,1],[1,9,40,81,12,36,81,10,120,108,1,9,48,40,9,9,
4,12,9,9,1,12,1,1,1],[1,9,40,81,12,36,81,10,120,108,1,9,48,40,9,9,4,12,9,9,1,
12,1,1,1],[1,9,4,36,81,12,36,81,1,9,12,12,12,12,72,108,1,9,12,12,12,12,4,18,
18,9,9,2,2,12,9,9,1,6,6,1,1,1],[1,9,40,9,12,36,9,10,120,36,1,9,48,36,40,1,9,4,
12,1,9,1,4,1,4,1,1],[1,9,4,36,9,12,36,9,1,9,48,72,36,1,9,48,36,4,36,1,9,4,12,
1,9,1,4,1,4,1,1],[1,9,4,36,9,12,36,9,1,9,48,72,36,1,9,48,36,4,36,1,9,4,12,1,9,
1,4,1,4,1,1],[1,81,18,40,9,81,81,24,1080,72,81,10,120,36,216,108,2,90,1080,18,
96,108,40,1,9,9,18,9,144,120,8,24,9,9,1,4,12,24,1,2,12,1,1,1,1],[1,9,90,4,36,
9,81,81,12,108,12,972,36,36,81,1,9,48,72,36,108,108,108,9,1,1,81,432,648,9,9,
48,48,108,4,36,1,9,9,9,9,9,144,12,108,4,4,12,12,9,9,1,4,12,12,12,1,1,1,12,1,1,
1,1],[1,9,90,4,36,9,81,81,12,108,12,972,36,36,81,1,9,48,72,36,108,108,108,9,1,
1,81,432,648,9,9,48,48,108,4,36,1,9,9,9,9,9,144,12,108,4,4,12,12,9,9,1,4,12,
12,12,1,1,1,12,1,1,1,1],[1,9,4,36,9,12,36,81,1,9,48,72,36,1,9,48,108,4,36,1,9,
4,12,9,9,1,4,1,12,1,1],[1,9,4,36,9,12,36,81,1,9,48,72,36,1,9,48,108,4,36,1,9,
4,12,9,9,1,4,1,12,1,1],[1,9,40,9,12,36,81,10,120,36,1,9,48,108,40,1,9,4,12,9,
9,1,4,1,12,1,1],[1,81,36,40,81,162,48,1080,144,81,10,120,432,4,90,1080,36,192,
40,18,72,36,288,120,16,48,36,1,48,1,4,1,2,1],[1,9,4,36,9,12,36,81,1,12,12,12,
12,36,9,12,12,12,12,108,4,9,9,1,12,9,1,1,1,3,1,1],[1,1,40,45,36,40,45,30,10,
36,120,45,10,36,30,10,30,10,12,1],[1,40,288,36,10,120,72,96,96,96,96,576,9,48,
72,4,40,32,144,144,36,72,288,288,144,288,1,8,1,8,32,32,16,32,4,32,4,1],[1,81,
40,81,1080,10,120,81,90,1080,40,120,1,1,1,1],[1,45,40,81,60,180,10,120,81,5,
45,240,40,20,60,1,5,1,1],[1,81,40,72,9,81,1080,81,10,120,24,24,24,24,12,81,90,
1080,108,1,40,8,72,36,90,120,9,108,1,8,4,9,1,12,1,1,1,1],[1,81,13,72,36,81,
108,972,81,1,12,24,24,24,24,9,48,72,81,9,81,432,648,108,4,1,8,36,36,72,9,81,
12,108,9,108,1,4,8,9,1,12,1,1,1,1],[1,81,40,72,9,243,1080,81,10,120,24,24,24,
24,12,81,90,1080,108,1,40,8,72,36,54,216,120,9,108,1,8,4,9,1,12,1,3,1,1],[1,
81,13,72,36,243,108,972,81,1,12,24,24,24,24,9,48,72,81,9,81,432,648,108,4,1,8,
36,36,72,27,27,216,12,108,9,108,1,4,8,9,1,12,1,3,1,1],[1,27,108,13,72,36,243,
36,117,72,117,972,108,189,1,12,24,24,24,24,9,48,72,324,405,9,3,36,3,81,432,
648,27,27,144,72,72,72,72,144,144,4,1,8,36,36,72,27,27,108,432,12,1,108,12,9,
12,12,24,36,9,72,36,108,36,1,4,8,9,36,36,36,1,3,3,4,12,12,24,1,3,12,1,1,1,1],[
1,81,54,40,72,9,243,9,72,72,1080,81,81,216,10,120,24,24,24,24,12,81,648,6,90,
1080,36,54,288,72,72,72,72,108,36,1,40,8,72,36,54,432,108,1,120,9,24,24,12,72,
72,9,36,108,1,8,4,72,9,36,1,6,12,4,24,12,1,3,12,1,1,1,1],[1,81,54,40,81,243,
243,72,1080,216,81,243,243,10,120,648,81,6,90,1080,54,288,40,90,54,216,54,432,
120,24,72,54,36,108,1,72,1,6,1,3,3,1,3,3,1],[1,81,40,81,1080,81,10,120,81,90,
1080,40,90,120,90,1,1,1,1,1],[1,81,72,40,81,324,96,1080,288,81,162,10,120,864,
81,8,90,1080,72,384,40,18,72,72,576,120,32,96,18,72,1,96,1,8,1,4,1,2,1],[1,81,
18,40,81,81,18,162,81,24,1080,72,81,162,10,120,72,216,216,81,2,90,1080,18,96,
216,40,2,90,18,72,18,18,18,18,144,120,8,24,18,18,18,1,8,24,24,18,1,2,24,1,1,1,
2,2,1,2,1],[1,9,90,4,36,9,81,90,162,81,12,108,12,972,36,36,81,162,1,9,48,72,
36,36,108,108,108,108,81,9,1,1,81,432,648,9,9,48,48,108,108,4,36,1,9,1,9,9,9,
9,81,72,9,9,9,9,9,9,144,12,108,4,4,12,12,9,9,9,9,9,9,1,4,4,12,12,12,12,9,9,1,
1,1,12,12,1,1,1,1,1,1,1,1,1,1,1],[1,81,18,40,81,81,81,24,1080,72,81,81,81,10,
120,216,81,2,90,1080,18,96,40,90,18,72,18,144,120,8,24,18,18,72,18,1,24,18,1,
2,1,1,1,1,1,1,1],[1,81,18,40,81,81,81,24,1080,72,81,81,81,10,120,216,81,2,90,
1080,18,96,40,90,18,72,18,144,120,8,24,90,18,18,1,24,18,1,2,1,1,1,1,1,1,1],[1,
9,90,4,36,81,81,81,12,108,12,972,36,36,81,81,81,1,9,48,72,108,108,81,9,1,1,81,
432,648,9,9,48,48,4,36,9,9,9,81,72,9,9,144,12,108,4,4,12,12,9,9,9,81,9,9,1,12,
12,9,9,1,1,1,1,1,1,1,1,1,1],[1,9,90,4,36,81,81,81,12,108,12,972,36,36,81,81,
81,1,9,48,72,108,108,81,9,1,1,81,432,648,9,9,48,48,4,36,9,9,9,81,72,9,9,144,
12,108,4,4,12,12,9,9,9,9,72,9,9,1,12,12,9,9,1,1,1,1,1,1,1,1,1,1],[1,81,40,405,
1080,81,162,10,120,81,90,1080,40,90,360,120,18,72,1,1,5,2,1,1],[1,81,18,40,81,
81,81,24,1080,72,162,81,10,120,216,81,2,90,1080,18,96,40,90,18,72,18,144,120,
8,24,36,18,1,24,1,2,1,1,1,2,1,1],[1,81,18,40,9,81,81,24,1080,72,9,81,81,10,
120,36,216,108,81,2,90,1080,18,96,36,108,108,40,1,9,9,18,9,144,108,120,8,24,1,
9,9,9,9,9,1,4,12,24,9,9,1,2,4,12,12,1,1,1,12,1,1,1,1],[1,9,90,4,36,9,81,81,12,
108,12,972,36,36,9,81,81,1,9,48,72,36,108,108,108,81,9,1,1,81,432,648,9,9,48,
48,36,108,108,4,36,1,9,9,9,9,9,144,108,12,108,4,4,12,12,1,9,9,9,9,9,1,4,12,12,
12,9,9,1,1,1,4,12,12,1,1,1,12,1,1,1,1],[1,9,90,4,36,9,81,81,12,108,12,972,36,
36,9,81,81,1,9,48,72,36,108,108,108,81,9,1,1,81,432,648,9,9,48,48,36,108,108,
4,36,1,9,9,9,9,9,144,108,12,108,4,4,12,12,1,9,9,9,9,9,1,4,12,12,12,9,9,1,1,1,
4,12,12,1,1,1,12,1,1,1,1],[1,81,36,40,243,162,48,1080,144,81,81,81,10,120,432,
81,4,90,1080,36,192,40,54,216,36,288,120,16,48,18,72,36,36,1,48,36,1,4,3,2,1,
1,1,1],[1,9,90,4,36,9,81,81,12,108,12,972,36,36,81,81,81,1,9,48,72,36,108,108,
108,81,9,1,1,81,432,648,9,9,48,48,108,4,36,1,9,9,9,9,9,144,12,108,4,4,12,12,9,
9,9,9,9,9,1,4,12,12,12,9,9,1,1,1,12,1,1,1,1,1,1,1],[1,9,90,4,36,9,81,81,12,
108,12,972,36,36,81,81,81,1,9,48,72,36,108,108,108,81,9,1,1,81,432,648,9,9,48,
48,108,4,36,1,9,9,9,9,9,144,12,108,4,4,12,12,9,9,9,9,9,9,1,4,12,12,12,9,9,1,1,
1,12,1,1,1,1,1,1,1],[1,81,18,40,9,81,81,24,1080,72,81,81,81,10,120,36,216,108,
81,2,90,1080,18,96,108,40,1,9,9,18,9,144,120,8,24,9,9,9,9,9,9,1,4,12,24,9,9,1,
2,12,1,1,1,1,1,1,1],[1,1,90,40,1,45,45,36,120,120,40,45,45,30,45,90,10,36,72,
40,120,120,30,45,45,45,90,10,10,10,36,36,36,30,120,45,10,10,10,36,30,30,30,10,
10,10,30,12,10,12,1,1],[1,81,40,288,36,108,108,864,324,10,120,72,96,96,96,96,
576,9,48,72,9,72,9,81,432,864,864,864,864,432,4,40,32,144,144,36,72,288,288,
144,288,36,144,144,36,72,288,288,144,288,108,864,108,1,8,1,8,32,32,16,32,9,72,
9,72,288,288,144,288,4,32,4,12,96,12,1,1],[1,81,40,288,36,1080,324,10,120,72,
96,96,96,96,576,9,48,72,90,1080,81,432,4,40,32,144,144,36,72,288,288,144,288,
120,36,108,432,1,8,1,8,32,32,16,32,1,9,48,4,32,4,4,12,1,1],[1,81,40,288,36,
108,972,324,10,120,72,96,96,96,96,576,9,48,72,9,81,432,648,81,432,4,40,32,144,
144,36,72,288,288,144,288,12,108,36,108,432,1,8,1,8,32,32,16,32,1,9,48,4,32,4,
4,12,1,1],[1,81,90,40,405,81,120,1080,360,10,120,81,162,1080,10,90,1080,90,
480,81,40,90,720,120,40,120,1,120,1,10,5,1,1,2,1],[1,81,40,405,81,1080,10,120,
81,90,1080,81,40,90,360,120,1,1,5,1,1,1],[1,81,40,81,81,1080,10,120,81,90,
1080,81,40,90,120,1,1,1,1,1,1],[1,81,40,288,36,243,1080,324,81,10,120,96,96,
96,96,48,90,1080,432,81,4,40,32,288,144,54,216,120,36,432,36,1,32,16,1,48,36,
4,3,4,1,1],[1,81,40,72,9,81,1080,81,81,10,120,24,24,24,24,12,81,90,1080,108,
81,1,40,8,72,36,90,120,9,108,90,1,8,4,9,1,12,9,1,1,1,1,1,1],[1,81,13,72,36,81,
108,972,81,81,1,12,24,24,24,24,9,48,72,81,9,81,432,648,108,81,4,1,8,36,36,72,
9,81,12,108,9,108,9,81,1,4,8,9,1,12,9,1,1,1,1,1,1],[1,81,40,72,9,81,1080,81,
243,10,120,24,24,24,24,12,81,90,1080,108,81,1,40,8,72,36,90,120,9,108,54,1,8,
4,9,1,12,9,1,1,1,3,1,1],[1,81,13,72,36,81,108,972,81,243,1,12,24,24,24,24,9,
48,72,81,9,81,432,648,108,81,4,1,8,36,36,72,9,81,12,108,9,108,27,27,1,4,8,9,1,
12,9,1,1,1,3,1,1],[1,81,54,40,72,9,81,243,243,9,72,72,1080,81,81,216,243,10,
120,24,24,24,24,12,81,81,648,81,6,90,1080,36,54,288,72,72,72,72,108,36,81,1,
40,8,72,36,90,54,216,54,432,108,1,120,9,24,24,12,72,72,9,36,108,54,1,8,4,9,9,
72,9,36,1,6,12,4,24,12,9,1,1,3,3,12,1,1,1,3,1,1,1,1],[1,27,108,13,72,36,81,
243,243,36,117,72,117,972,108,189,243,1,12,24,24,24,24,9,48,72,81,324,405,81,
9,3,36,3,81,432,648,27,27,144,72,72,72,72,144,144,81,4,1,8,36,36,72,9,27,27,
81,216,27,27,108,432,12,1,108,12,9,12,12,24,36,9,72,36,108,36,27,27,1,4,8,9,9,
9,36,36,36,1,3,3,4,12,12,24,9,1,1,3,3,12,1,1,1,3,1,1,1,1],[1,81,54,40,81,243,
243,72,1080,216,81,243,81,243,243,10,120,648,81,243,243,6,90,1080,54,288,40,
81,90,54,216,54,432,120,24,72,90,54,54,36,108,1,72,54,1,6,1,3,3,1,1,3,3,3,1,3,
3,1],[1,81,90,40,81,405,405,120,1080,360,81,81,162,405,486,10,120,1080,162,81,
81,81,162,10,90,1080,90,480,40,81,90,90,360,90,720,120,40,120,18,18,72,90,72,
216,1,120,18,72,1,10,1,5,5,1,2,1,5,6,2,1,1,1,2,1],[1,81,18,40,81,81,18,162,81,
24,1080,72,81,81,81,81,81,162,10,120,72,216,216,81,81,81,2,90,1080,18,96,216,
40,81,2,90,18,72,18,18,18,18,144,120,8,24,90,18,18,18,72,18,18,18,1,8,24,24,
18,18,18,1,2,24,18,1,1,1,2,2,1,1,1,1,1,2,1,1,1,1],[1,9,90,4,36,9,81,90,162,81,
12,108,12,972,36,36,81,81,81,81,81,162,1,9,48,72,36,36,108,108,108,108,81,81,
81,9,1,1,81,432,648,9,9,48,48,108,108,4,36,81,1,9,1,9,9,9,9,81,72,9,9,9,9,9,9,
144,12,108,4,4,12,12,9,9,9,9,9,9,9,81,72,9,9,9,9,9,9,1,4,4,12,12,12,12,9,9,9,
9,9,9,1,1,1,12,12,9,9,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,81,18,40,81,81,
81,24,1080,72,324,81,81,81,10,120,216,81,162,2,90,1080,18,96,40,81,90,18,72,
18,144,120,8,24,18,18,72,72,18,1,24,18,1,2,1,1,1,1,4,1,1,1,2,1],[1,81,18,40,
81,81,18,162,81,24,1080,72,9,81,81,81,81,162,10,120,72,216,216,81,81,81,2,90,
1080,18,96,36,108,216,40,81,2,90,18,72,18,18,18,18,144,108,120,8,24,1,9,9,9,
18,18,9,9,9,18,9,1,8,24,24,9,9,18,9,9,1,2,4,12,24,9,9,1,1,1,2,2,12,1,1,1,1,2,
1,1,1,1,1],[1,9,90,4,36,9,81,90,162,81,12,108,12,972,36,36,9,81,81,81,81,162,
1,9,48,72,36,36,108,108,108,108,81,81,81,9,1,1,81,432,648,9,9,48,48,36,108,
108,108,4,36,81,1,9,1,9,9,9,9,81,72,9,9,9,9,9,9,144,108,12,108,4,4,12,12,1,9,
9,9,9,9,9,9,9,9,9,9,9,9,1,4,4,12,12,12,12,9,9,9,9,9,9,1,1,1,4,12,12,12,9,9,1,
1,1,1,1,1,1,12,1,1,1,1,1,1,1,1,1,1,1],[1,9,90,4,36,9,81,90,162,81,12,108,12,
972,36,36,9,81,81,81,81,162,1,9,48,72,36,36,108,108,108,108,81,81,81,9,1,1,81,
432,648,9,9,48,48,36,108,108,108,4,36,81,1,9,1,9,9,9,9,81,72,9,9,9,9,9,9,144,
108,12,108,4,4,12,12,1,9,9,9,9,9,9,9,9,9,9,9,9,9,1,4,4,12,12,12,12,9,9,9,9,9,
9,1,1,1,4,12,12,12,9,9,1,1,1,1,1,1,1,12,1,1,1,1,1,1,1,1,1,1,1],[1,81,18,40,81,
81,81,24,1080,72,81,81,81,10,120,216,162,81,2,90,1080,18,96,40,81,90,18,72,18,
144,120,8,24,90,18,18,1,24,18,1,2,1,1,1,1,1,1,2,1,1],[1,81,54,40,81,243,18,
162,243,72,1080,216,162,81,243,162,243,10,120,72,648,216,81,81,81,6,90,1080,
54,288,216,40,81,2,90,54,216,18,18,54,18,432,120,24,72,36,54,18,18,36,108,1,8,
24,72,18,1,6,24,1,3,3,2,2,1,2,3,2,3,1,1,1,1],[1,1,90,40,1,45,90,90,45,36,120,
120,40,1,45,45,45,30,45,90,90,10,36,72,40,120,120,30,45,45,45,45,90,45,90,10,
10,10,36,36,36,30,40,120,120,30,45,45,45,90,10,10,10,10,10,10,10,36,36,36,30,
30,30,120,45,10,10,10,10,10,10,10,36,30,30,30,12,10,10,10,30,12,10,12,1,1,1],[
1,81,40,288,36,81,108,108,864,324,10,120,72,96,96,96,96,576,9,48,72,324,9,72,
9,81,432,864,864,864,864,432,4,40,32,144,144,36,72,288,288,144,288,9,9,81,36,
144,144,36,72,288,288,144,288,108,864,108,1,8,1,8,32,32,16,32,36,36,72,9,72,9,
72,288,288,144,288,4,32,4,9,9,72,12,96,12,1,1,1],[1,81,40,288,36,729,1080,324,
10,120,72,96,96,96,96,576,9,48,72,972,90,1080,81,432,4,40,32,144,144,36,72,
288,288,144,288,162,648,81,120,36,108,432,1,8,1,8,32,32,16,32,108,1,9,48,4,32,
4,9,9,4,12,1,12,1,1],[1,81,40,288,36,729,108,972,324,10,120,72,96,96,96,96,
576,9,48,72,972,9,81,432,648,81,432,4,40,32,144,144,36,72,288,288,144,288,81,
81,648,81,12,108,36,108,432,1,8,1,8,32,32,16,32,108,1,9,48,4,32,4,9,9,4,12,1,
12,1,1],[1,81,162,40,288,36,729,108,216,864,1080,972,324,648,10,120,72,96,96,
96,96,576,9,48,72,972,1944,18,72,90,1080,9,81,432,648,81,162,864,864,864,864,
864,432,432,4,40,32,144,144,36,72,288,288,144,288,81,162,1296,1296,12,120,108,
36,72,144,144,36,72,288,288,144,288,108,216,864,108,432,432,1,8,1,8,32,32,16,
32,216,108,108,432,1,1,18,72,9,9,48,48,72,288,288,144,288,4,32,4,9,9,144,4,4,
12,12,12,96,12,1,12,12,1,1,1,1],[1,81,40,288,36,81,108,972,324,10,120,72,96,
96,96,96,576,9,48,72,324,9,81,432,648,81,432,4,40,32,144,144,36,72,288,288,
144,288,9,81,81,12,108,36,108,432,1,8,1,8,32,32,16,32,36,1,9,48,4,32,4,1,9,4,
12,1,4,1,1],[1,81,40,288,36,81,1080,324,10,120,72,96,96,96,96,576,9,48,72,324,
90,1080,81,432,4,40,32,144,144,36,72,288,288,144,288,90,81,120,36,108,432,1,8,
1,8,32,32,16,32,36,1,9,48,4,32,4,1,9,4,12,1,4,1,1],[1,81,40,288,36,729,108,
108,864,324,10,120,72,96,96,96,96,576,9,48,72,972,9,72,9,81,432,864,864,864,
864,432,4,40,32,144,144,36,72,288,288,144,288,81,81,648,81,36,144,144,36,72,
288,288,144,288,108,864,108,1,8,1,8,32,32,16,32,108,108,432,432,9,72,9,72,288,
288,144,288,4,32,4,9,72,9,12,96,12,1,1,1],[1,81,40,81,81,1080,405,10,120,81,
90,1080,81,40,90,81,120,90,1,1,1,1,5,1,1,1],[1,81,90,40,81,405,405,81,120,
1080,360,405,10,120,81,162,1080,10,90,1080,90,480,81,81,81,40,90,90,360,90,
720,81,120,40,120,90,1,120,1,10,1,5,5,1,5,1,2,1,1,1,1],[1,81,40,81,81,1080,81,
10,120,81,90,1080,81,40,90,81,120,90,1,1,1,1,1,1,1,1],[1,81,108,40,288,36,243,
486,36,144,288,1080,324,324,432,243,81,243,10,120,96,96,96,96,48,324,1296,243,
12,90,1080,144,108,576,288,288,288,288,432,144,81,4,40,32,288,144,54,216,108,
864,432,81,4,120,36,48,96,48,144,288,36,144,432,54,216,36,108,1,32,16,144,36,
144,108,1,12,48,16,96,48,36,4,3,6,48,36,4,4,4,3,1,3,4,3,1,1],[1,81,40,288,36,
729,1080,324,243,324,10,120,96,96,96,96,48,324,243,90,1080,432,81,4,40,32,288,
144,162,648,81,120,36,432,54,144,1,32,16,36,1,48,36,4,9,4,4,3,4,3,1,1],[1,81,
54,40,288,36,81,243,243,72,1080,324,216,81,243,243,10,120,96,96,96,96,48,324,
648,81,6,90,1080,54,288,432,81,4,40,32,288,144,90,54,216,54,432,81,120,36,24,
72,432,54,36,108,1,32,16,36,72,1,6,48,36,4,1,3,3,4,1,3,3,4,1,1,1],[1,81,54,40,
72,9,81,243,243,9,72,72,1080,81,81,216,81,243,243,10,120,24,24,24,24,12,81,81,
648,81,243,6,90,1080,36,54,288,72,72,72,72,108,36,81,81,81,1,40,8,72,36,90,54,
216,54,432,108,81,1,120,9,24,24,12,72,72,9,36,108,90,54,54,1,8,4,9,9,72,9,36,
54,1,6,12,4,24,12,9,9,9,1,1,3,3,12,9,1,1,1,1,3,3,1,1,1,3,1,1,1,1],[1,27,108,
13,72,36,81,243,243,36,117,72,117,972,108,189,81,243,243,1,12,24,24,24,24,9,
48,72,81,324,405,81,243,9,3,36,3,81,432,648,27,27,144,72,72,72,72,144,144,81,
81,81,4,1,8,36,36,72,9,27,27,81,216,27,27,108,432,81,12,1,108,12,9,12,12,24,
36,9,72,36,108,36,9,27,27,81,27,27,1,4,8,9,9,9,36,36,36,27,27,1,3,3,4,12,12,
24,9,9,9,1,1,3,3,12,9,1,1,1,1,3,3,1,1,1,3,1,1,1,1],[1,81,18,40,81,81,18,162,
81,24,1080,72,81,81,81,81,81,162,10,120,72,216,216,324,81,81,81,2,90,1080,18,
96,216,40,81,162,2,90,18,72,18,18,18,18,144,120,8,24,81,90,18,18,18,72,18,18,
18,1,8,24,24,18,18,18,1,2,24,18,1,1,1,2,2,1,1,1,1,1,2,4,1,1,1,1,2,1],[1,81,18,
40,81,81,18,162,81,24,1080,72,81,81,81,81,18,162,162,162,81,162,10,120,72,216,
216,81,81,81,162,162,2,90,1080,18,96,72,216,216,40,81,162,2,90,18,72,18,18,18,
18,144,216,120,8,24,81,2,90,18,18,18,72,18,18,18,18,18,18,18,18,18,18,1,8,24,
24,18,18,18,18,18,18,18,1,2,8,24,24,18,18,18,1,1,1,2,2,24,18,1,1,1,1,1,2,2,2,
2,2,1,1,1,2,2,1,2,1],[1,9,90,4,36,9,81,90,162,81,12,108,12,972,36,36,9,81,81,
81,90,162,162,162,81,162,1,9,48,72,36,36,108,108,108,108,81,81,81,162,162,9,1,
1,81,432,648,9,9,48,48,36,36,108,108,108,108,4,36,81,162,1,9,1,9,9,9,9,81,72,
9,9,9,9,9,9,144,108,108,12,108,4,4,12,12,81,9,1,1,9,9,9,9,9,9,9,9,9,9,9,9,81,
72,9,9,9,9,9,9,9,9,9,9,9,9,9,9,1,4,4,12,12,12,12,9,9,9,9,9,9,9,9,9,9,9,9,9,9,
1,1,1,4,4,12,12,12,12,9,9,9,9,9,9,1,1,1,1,1,1,1,12,12,9,9,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,81,90,40,81,405,18,162,405,120,1080,360,
81,405,81,81,162,405,162,486,10,120,72,1080,216,162,81,81,405,81,486,81,162,
10,90,1080,90,480,216,40,162,81,81,81,162,2,90,90,360,18,18,90,18,720,120,40,
120,81,90,18,18,90,72,90,18,18,72,216,1,8,24,120,90,18,18,72,1,10,24,18,1,5,5,
2,2,1,1,2,5,1,5,2,6,2,1,1,1,5,1,6,2,2,1,1,1,2,1],[1,1,90,40,1,45,90,90,45,36,
120,120,40,1,45,45,45,90,90,90,90,30,45,90,90,10,36,72,40,120,120,30,36,45,45,
45,45,90,90,90,45,90,10,10,10,36,36,36,30,40,120,120,30,45,90,45,45,90,90,10,
10,10,10,10,10,10,36,36,36,30,30,30,120,45,45,45,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,36,36,36,30,30,30,12,45,10,10,10,10,10,10,10,36,30,12,10,10,
10,12,10,1,1,1,1],[1,81,40,288,36,729,108,108,864,324,729,10,120,72,96,96,96,
96,576,9,48,72,972,9,72,9,81,432,864,864,864,864,432,4,40,32,144,144,36,72,
288,288,144,288,81,81,648,81,36,144,144,36,72,288,288,144,288,108,864,108,81,
81,81,1,8,1,8,32,32,16,32,108,108,432,432,9,72,9,72,288,288,144,288,4,32,4,9,
72,9,12,96,12,9,9,1,1,1,1],[1,81,40,288,36,81,1080,324,729,10,120,72,96,96,96,
96,576,9,48,72,324,90,1080,81,432,972,4,40,32,144,144,36,72,288,288,144,288,
90,81,120,36,108,432,162,81,1,8,1,8,32,32,16,32,36,1,9,48,108,4,32,4,1,9,4,12,
9,9,1,4,1,12,1,1],[1,81,40,288,36,81,108,972,324,729,10,120,72,96,96,96,96,
576,9,48,72,324,9,81,432,648,81,432,972,4,40,32,144,144,36,72,288,288,144,288,
9,81,81,12,108,36,108,432,81,81,81,1,8,1,8,32,32,16,32,36,1,9,48,108,4,32,4,1,
9,4,12,9,9,1,4,1,12,1,1],[1,81,162,40,288,36,81,729,729,108,216,864,1080,972,
324,648,729,10,120,72,96,96,96,96,576,9,48,72,324,972,1944,972,18,72,90,1080,
9,81,432,648,81,162,864,864,864,864,864,432,432,972,4,40,32,144,144,36,72,288,
288,144,288,9,9,81,81,648,81,81,162,81,1296,1296,12,120,108,36,72,144,144,36,
72,288,288,144,288,108,216,864,108,432,432,81,81,81,1,8,1,8,32,32,16,32,36,36,
72,108,108,432,432,216,108,108,432,1,1,18,72,9,9,48,48,72,288,288,144,288,108,
108,4,32,4,9,9,9,72,9,9,9,72,144,4,4,12,12,12,96,12,9,9,1,12,12,1,1,1,1,1,1,
1],[1,81,40,288,36,81,1080,324,81,10,120,72,96,96,96,96,576,9,48,72,324,90,
1080,81,432,324,4,40,32,144,144,36,72,288,288,144,288,90,81,120,36,108,432,90,
81,1,8,1,8,32,32,16,32,36,1,9,48,36,4,32,4,1,9,4,12,1,9,1,4,1,4,1,1],[1,81,40,
288,36,81,108,972,324,81,10,120,72,96,96,96,96,576,9,48,72,324,9,81,432,648,
81,432,324,4,40,32,144,144,36,72,288,288,144,288,9,81,81,12,108,36,108,432,9,
81,81,1,8,1,8,32,32,16,32,36,1,9,48,36,4,32,4,1,9,4,12,1,9,1,4,1,4,1,1],[1,81,
40,288,36,729,108,108,864,324,729,10,120,72,96,96,96,96,576,9,48,72,972,9,72,
9,81,432,864,864,864,864,432,4,40,32,144,144,36,72,288,288,144,288,81,81,648,
81,36,144,144,36,72,288,288,144,288,108,864,108,81,648,81,81,1,8,1,8,32,32,16,
32,108,108,432,432,9,72,9,72,288,288,144,288,4,32,4,9,72,9,12,96,12,9,9,72,1,
1,1,1],[1,81,40,288,36,729,1080,324,729,10,120,72,96,96,96,96,576,9,48,72,972,
90,1080,81,432,4,40,32,144,144,36,72,288,288,144,288,162,648,81,120,36,108,
432,162,648,81,1,8,1,8,32,32,16,32,108,1,9,48,4,32,4,9,9,4,12,9,9,1,12,1,1,
1],[1,81,40,288,36,729,108,972,324,729,10,120,72,96,96,96,96,576,9,48,72,972,
9,81,432,648,81,432,4,40,32,144,144,36,72,288,288,144,288,81,81,648,81,12,108,
36,108,432,81,81,648,81,1,8,1,8,32,32,16,32,108,1,9,48,4,32,4,9,9,4,12,9,9,1,
12,1,1,1],[1,81,40,288,36,81,108,108,864,324,729,10,120,72,96,96,96,96,576,9,
48,72,324,9,72,9,81,432,864,864,864,864,432,972,4,40,32,144,144,36,72,288,288,
144,288,9,9,81,36,144,144,36,72,288,288,144,288,108,864,108,81,81,81,1,8,1,8,
32,32,16,32,36,36,72,9,72,9,72,288,288,144,288,108,108,216,4,32,4,9,9,72,12,
96,12,9,9,72,1,1,1,1],[1,81,40,288,36,81,108,108,864,324,81,10,120,72,96,96,
96,96,576,9,48,72,324,9,72,9,81,432,864,864,864,864,432,324,4,40,32,144,144,
36,72,288,288,144,288,9,9,81,36,144,144,36,72,288,288,144,288,108,864,108,9,9,
81,1,8,1,8,32,32,16,32,36,36,72,9,72,9,72,288,288,144,288,36,36,4,32,4,9,9,72,
12,96,12,9,9,1,1,1,1],[1,81,40,288,36,729,1080,324,729,10,120,72,96,96,96,96,
576,9,48,72,972,90,1080,81,432,4,40,32,144,144,36,72,288,288,144,288,162,648,
81,120,36,108,432,162,81,1,8,1,8,32,32,16,32,108,1,9,48,4,32,4,9,9,4,12,9,9,1,
12,1,1,1],[1,81,40,288,36,729,108,972,324,729,10,120,72,96,96,96,96,576,9,48,
72,972,9,81,432,648,81,432,4,40,32,144,144,36,72,288,288,144,288,81,81,648,81,
12,108,36,108,432,81,81,81,1,8,1,8,32,32,16,32,108,1,9,48,4,32,4,9,9,4,12,9,9,
1,12,1,1,1],[1,81,162,40,288,36,81,729,729,108,216,864,1080,972,324,648,729,
10,120,72,96,96,96,96,576,9,48,72,324,972,1944,972,18,72,90,1080,9,81,432,648,
81,162,864,864,864,864,864,432,432,972,4,40,32,144,144,36,72,288,288,144,288,
90,162,648,81,81,162,81,1296,1296,12,120,108,36,72,144,144,36,72,288,288,144,
288,108,216,864,108,432,432,162,81,1,8,1,8,32,32,16,32,36,108,216,108,108,432,
1,1,18,72,9,9,48,48,72,288,288,144,288,108,4,32,4,1,9,9,9,9,9,144,4,4,12,12,
12,96,12,9,9,1,4,12,12,12,1,1,1,12,1,1,1,1],[1,81,162,40,288,36,81,729,729,
108,216,864,1080,972,324,648,729,10,120,72,96,96,96,96,576,9,48,72,324,972,
1944,972,18,72,90,1080,9,81,432,648,81,162,864,864,864,864,864,432,432,972,4,
40,32,144,144,36,72,288,288,144,288,9,81,81,81,648,81,81,162,81,1296,1296,12,
120,108,36,72,144,144,36,72,288,288,144,288,108,216,864,108,432,432,81,81,81,
1,8,1,8,32,32,16,32,36,108,216,108,108,432,1,1,18,72,9,9,48,48,72,288,288,144,
288,108,4,32,4,1,9,9,9,9,9,144,4,4,12,12,12,96,12,9,9,1,4,12,12,12,1,1,1,12,1,
1,1,1],[1,81,40,81,81,1080,81,10,120,81,81,90,1080,81,40,90,81,120,90,81,1,1,
1,1,1,1,1,1,1,1],[1,81,40,81,81,1080,81,10,120,81,405,90,1080,81,40,90,81,120,
90,81,1,1,1,1,1,1,5,1,1,1],[1,81,90,40,81,405,405,81,120,1080,360,81,405,405,
10,120,81,162,1080,405,10,90,1080,90,480,81,81,81,40,90,90,360,90,720,81,81,
81,120,40,120,90,90,90,81,1,120,90,1,10,1,5,5,1,1,5,5,1,2,5,1,1,1,1,1,1,1],[1,
81,54,40,288,36,81,243,54,486,243,72,1080,324,216,486,81,243,486,243,10,120,
96,96,96,96,48,216,324,648,648,81,243,243,6,90,1080,54,288,432,81,324,648,4,
40,32,288,144,243,6,90,54,216,54,54,54,54,432,81,120,36,24,72,432,108,54,54,
54,36,108,1,32,16,81,36,24,72,72,54,1,6,48,36,72,36,4,1,3,3,6,6,4,1,6,3,6,3,4,
1,3,3,1,4,3,1,1],[1,81,162,40,288,36,81,729,729,36,216,288,1080,324,324,648,
243,243,324,729,972,10,120,96,96,96,96,48,324,324,1944,324,324,243,243,243,
486,18,90,1080,144,162,864,288,288,288,288,432,144,81,324,4,40,32,288,144,243,
90,162,648,162,1296,432,81,81,81,4,120,36,72,96,48,216,288,36,144,432,54,54,
216,162,144,432,1,32,16,81,36,36,216,36,144,54,216,1,18,48,16,96,48,36,36,4,1,
9,9,48,36,4,4,4,3,4,3,9,12,4,4,4,4,3,3,3,6,1,4,3,1,1,1,1],[1,81,54,40,288,36,
81,243,243,72,1080,324,216,81,243,81,243,243,10,120,96,96,96,96,48,324,648,81,
243,243,6,90,1080,54,288,432,81,324,4,40,32,288,144,81,90,54,216,54,432,81,
120,36,24,72,432,90,54,54,36,108,1,32,16,81,36,72,54,1,6,48,36,36,4,1,3,3,4,1,
1,3,3,3,4,1,3,3,1,4,1,1,1],[1,81,40,720,90,1215,486,1080,810,405,10,120,240,
240,240,240,120,486,810,90,1080,1080,486,405,10,40,80,720,360,270,1080,120,90,
1080,180,1,80,40,90,81,1,120,180,10,15,6,10,5,6,10,6,5,1],[1,81,90,40,81,405,
18,162,405,120,1080,360,81,405,81,81,18,162,162,162,162,405,162,486,10,120,72,
1080,216,162,324,81,81,405,81,486,162,162,81,162,10,90,1080,90,480,72,216,216,
40,162,81,162,81,81,162,162,2,90,90,360,18,18,90,18,720,216,120,40,120,81,81,
81,2,90,18,18,90,72,18,18,18,90,18,18,18,18,18,18,72,216,1,8,24,120,81,18,18,
90,18,18,18,18,72,1,10,8,24,24,18,18,18,1,5,5,2,2,24,18,1,1,2,5,1,5,2,2,2,2,2,
6,2,4,1,1,1,5,1,6,2,2,2,2,1,1,1,2,2,2,1,1,1,1],[1,81,162,40,288,36,81,729,729,
108,216,864,1080,972,324,648,81,729,729,10,120,72,96,96,96,96,576,9,48,72,324,
972,1944,972,729,18,72,90,1080,9,81,432,648,81,162,864,864,864,864,864,432,
432,324,972,972,4,40,32,144,144,36,72,288,288,144,288,9,81,81,81,648,81,81,
162,81,1296,1296,972,12,120,108,36,72,144,144,36,72,288,288,144,288,108,216,
864,108,432,432,9,81,81,81,81,81,81,81,81,1,8,1,8,32,32,16,32,36,108,216,108,
108,432,81,81,81,1,1,18,72,9,9,48,48,72,288,288,144,288,36,108,108,4,32,4,1,9,
9,9,9,9,144,108,4,4,12,12,12,96,12,1,9,9,9,9,9,1,4,12,12,12,9,9,1,1,1,4,12,12,
1,1,1,12,1,1,1,1],[1,81,162,40,288,36,81,729,729,108,216,864,1080,972,324,648,
81,729,729,10,120,72,96,96,96,96,576,9,48,72,324,972,1944,972,729,18,72,90,
1080,9,81,432,648,81,162,864,864,864,864,864,432,432,324,972,972,4,40,32,144,
144,36,72,288,288,144,288,90,162,648,81,81,162,81,1296,1296,972,12,120,108,36,
72,144,144,36,72,288,288,144,288,108,216,864,108,432,432,90,162,162,81,81,81,
1,8,1,8,32,32,16,32,36,108,216,108,108,432,162,81,1,1,18,72,9,9,48,48,72,288,
288,144,288,36,108,108,4,32,4,1,9,9,9,9,9,144,108,4,4,12,12,12,96,12,1,9,9,9,
9,9,1,4,12,12,12,9,9,1,1,1,4,12,12,1,1,1,12,1,1,1,1],[1,81,162,40,288,36,81,
729,162,1458,729,108,216,864,1080,972,324,648,729,1458,10,120,72,96,96,96,96,
576,9,48,72,648,324,972,1944,1944,972,729,18,72,90,1080,9,81,432,648,81,162,
864,864,864,864,864,432,432,1944,972,4,40,32,144,144,36,72,288,288,144,288,9,
18,90,162,648,81,162,648,81,81,648,81,162,81,162,81,162,1296,1296,12,120,108,
36,72,144,144,36,72,288,288,144,288,108,216,864,108,432,432,162,81,81,162,162,
81,1,8,1,8,32,32,16,32,36,72,36,72,108,216,432,432,108,216,108,108,432,162,81,
1,1,18,72,9,9,48,48,72,288,288,144,288,216,108,108,4,32,4,1,9,1,9,9,9,18,72,9,
9,9,9,18,72,144,4,4,12,12,12,96,12,9,9,18,9,9,1,4,4,12,12,12,12,9,9,1,1,1,12,
12,1,1,1,1,1,1,1,1,1,1,1],[1,81,162,40,288,36,81,729,729,108,216,864,1080,972,
324,648,81,729,729,10,120,72,96,96,96,96,576,9,48,72,324,972,1944,972,729,18,
72,90,1080,9,81,432,648,81,162,864,864,864,864,864,432,432,324,972,972,4,40,
32,144,144,36,72,288,288,144,288,9,9,81,81,648,81,81,162,81,1296,1296,972,12,
120,108,36,72,144,144,36,72,288,288,144,288,108,216,864,108,432,432,9,9,81,81,
81,81,81,81,81,1,8,1,8,32,32,16,32,36,36,72,108,108,432,432,216,108,108,432,
81,81,81,1,1,18,72,9,9,48,48,72,288,288,144,288,36,36,108,108,108,108,216,4,
32,4,9,9,9,72,9,9,9,72,144,108,108,4,4,12,12,12,96,12,9,9,9,9,9,9,72,1,12,12,
9,9,1,1,1,1,1,1,1,1,1,1],[1,81,162,40,288,36,81,729,729,108,216,864,1080,972,
324,648,729,729,729,10,120,72,96,96,96,96,576,9,48,72,324,972,1944,972,729,18,
72,90,1080,9,81,432,648,81,162,864,864,864,864,864,432,432,972,4,40,32,144,
144,36,72,288,288,144,288,90,162,648,81,81,162,81,1296,1296,12,120,108,36,72,
144,144,36,72,288,288,144,288,108,216,864,108,432,432,162,162,648,162,81,81,
81,1,8,1,8,32,32,16,32,36,108,216,108,108,432,162,81,1,1,18,72,9,9,48,48,72,
288,288,144,288,108,4,32,4,1,9,9,9,9,9,144,4,4,12,12,12,96,12,9,9,9,9,9,9,1,4,
12,12,12,9,9,1,1,1,12,1,1,1,1,1,1,1],[1,81,162,40,288,36,81,729,729,108,216,
864,1080,972,324,648,729,729,729,10,120,72,96,96,96,96,576,9,48,72,324,972,
1944,972,729,18,72,90,1080,9,81,432,648,81,162,864,864,864,864,864,432,432,
972,4,40,32,144,144,36,72,288,288,144,288,9,81,81,81,648,81,81,162,81,1296,
1296,12,120,108,36,72,144,144,36,72,288,288,144,288,108,216,864,108,432,432,
81,81,81,81,648,81,81,81,81,81,1,8,1,8,32,32,16,32,36,108,216,108,108,432,81,
81,81,1,1,18,72,9,9,48,48,72,288,288,144,288,108,4,32,4,1,9,9,9,9,9,144,4,4,
12,12,12,96,12,9,9,9,9,9,9,1,4,12,12,12,9,9,1,1,1,12,1,1,1,1,1,1,1],[1,81,162,
40,288,36,81,729,729,108,216,864,1080,972,324,648,729,729,729,10,120,72,96,96,
96,96,576,9,48,72,324,972,1944,972,729,18,72,90,1080,9,81,432,648,81,162,864,
864,864,864,864,432,432,972,4,40,32,144,144,36,72,288,288,144,288,9,9,81,81,
648,81,81,162,81,1296,1296,12,120,108,36,72,144,144,36,72,288,288,144,288,108,
216,864,108,432,432,81,81,648,81,81,81,81,81,81,81,1,8,1,8,32,32,16,32,36,36,
72,108,108,432,432,216,108,108,432,81,81,81,1,1,18,72,9,9,48,48,72,288,288,
144,288,108,108,4,32,4,9,9,9,72,9,9,9,72,144,4,4,12,12,12,96,12,9,9,9,9,72,9,
9,1,12,12,9,9,1,1,1,1,1,1,1,1,1,1],[1,81,90,40,81,405,405,81,120,1080,360,81,
405,405,10,120,81,162,1080,486,405,10,90,1080,90,480,81,81,81,40,405,90,90,
360,90,720,81,81,81,120,40,120,90,90,90,81,81,81,1,120,90,81,1,10,1,5,5,1,1,5,
5,1,2,6,5,1,1,1,5,1,1,1,1,1,1,1],[1,81,162,40,288,36,81,729,54,486,729,36,216,
288,1080,324,324,648,81,729,243,243,324,729,486,972,10,120,96,96,96,96,48,216,
324,324,1944,648,324,324,243,243,729,243,972,243,486,18,90,1080,144,162,864,
288,288,288,288,432,144,81,324,324,648,324,4,40,32,288,144,324,243,243,243,
486,6,90,162,648,54,54,162,54,1296,432,81,81,81,324,4,120,36,72,96,48,216,288,
36,144,432,243,90,54,54,162,216,162,54,54,144,432,1,32,16,81,81,81,36,24,72,
36,216,36,144,162,54,54,216,1,18,48,16,96,48,81,36,36,72,36,36,4,54,1,9,9,6,6,
48,36,36,4,4,4,1,3,4,9,3,9,6,12,4,4,4,4,3,3,3,9,3,12,6,1,4,4,4,4,3,3,3,6,1,1,
1,4,3,1,1,1,1],[1,81,270,40,720,90,81,1215,1215,486,90,360,720,1080,810,810,
1080,405,1215,1215,10,120,240,240,240,240,120,486,972,810,810,3240,810,405,30,
90,1080,360,270,1440,720,720,720,720,1080,360,486,486,486,405,810,10,40,80,
720,360,90,270,1080,270,2160,1080,486,405,10,120,90,120,240,120,360,720,90,
360,1080,270,180,540,1,80,40,90,90,360,90,360,81,1,30,120,40,240,120,90,180,
81,10,1,15,15,120,6,10,10,10,5,15,15,6,12,10,10,10,5,6,6,6,5,10,6,5,1,1],[1,
81,162,40,288,36,81,729,162,1458,729,108,216,864,1080,972,324,648,81,729,729,
729,729,1458,10,120,72,96,96,96,96,576,9,48,72,648,324,972,1944,1944,972,729,
729,729,18,72,90,1080,9,81,432,648,81,162,864,864,864,864,864,432,432,324,972,
1944,972,4,40,32,144,144,36,72,288,288,144,288,729,9,18,90,162,648,81,162,648,
81,81,648,81,162,81,162,81,162,1296,1296,972,12,120,108,36,72,144,144,36,72,
288,288,144,288,108,216,864,108,432,432,9,81,81,81,81,81,81,81,648,162,81,81,
162,81,81,81,162,81,81,1,8,1,8,32,32,16,32,36,72,36,72,108,216,432,432,108,
216,108,108,432,81,81,81,81,162,81,81,81,1,1,18,72,9,9,48,48,72,288,288,144,
288,36,108,216,108,108,4,32,4,81,81,81,1,9,1,9,9,9,18,72,9,9,9,9,18,72,144,
108,4,4,12,12,12,96,12,1,9,9,9,9,9,9,9,9,18,9,9,9,1,4,4,12,12,12,12,9,9,9,9,9,
9,1,1,1,4,12,12,12,9,9,1,1,1,1,1,1,1,12,1,1,1,1,1,1,1,1,1,1,1],[1,81,162,40,
288,36,81,729,162,1458,729,108,216,864,1080,972,324,648,81,729,729,729,729,
1458,10,120,72,96,96,96,96,576,9,48,72,648,324,972,1944,1944,972,729,729,729,
18,72,90,1080,9,81,432,648,81,162,864,864,864,864,864,432,432,324,972,1944,
972,4,40,32,144,144,36,72,288,288,144,288,729,9,18,90,162,648,81,162,648,81,
81,648,81,162,81,162,81,162,1296,1296,972,12,120,108,36,72,144,144,36,72,288,
288,144,288,108,216,864,108,432,432,90,162,162,162,648,162,81,81,162,81,81,81,
162,81,81,1,8,1,8,32,32,16,32,36,72,36,72,108,216,432,432,108,216,108,108,432,
162,162,162,81,81,81,1,1,18,72,9,9,48,48,72,288,288,144,288,36,108,216,108,
108,4,32,4,162,81,1,9,1,9,9,9,18,72,9,9,9,9,18,72,144,108,4,4,12,12,12,96,12,
1,9,9,9,9,9,9,9,9,18,9,9,9,1,4,4,12,12,12,12,9,9,9,9,9,9,1,1,1,4,12,12,12,9,9,
1,1,1,1,1,1,1,12,1,1,1,1,1,1,1,1,1,1,1],[1,81,162,40,288,36,81,729,162,1458,
729,108,216,864,1080,972,324,648,81,729,729,729,729,1458,10,120,72,96,96,96,
96,576,9,48,72,648,324,972,1944,1944,972,729,729,729,18,72,90,1080,9,81,432,
648,81,162,864,864,864,864,864,432,432,324,972,1944,972,4,40,32,144,144,36,72,
288,288,144,288,729,9,18,90,162,648,81,162,648,81,81,648,81,162,81,162,81,162,
1296,1296,972,12,120,108,36,72,144,144,36,72,288,288,144,288,108,216,864,108,
432,432,9,9,81,81,81,81,648,81,81,162,81,81,162,81,81,81,162,81,81,1,8,1,8,32,
32,16,32,36,72,36,72,108,216,432,432,108,216,108,108,432,81,81,81,81,162,81,
81,81,1,1,18,72,9,9,48,48,72,288,288,144,288,36,36,108,108,216,108,108,216,4,
32,4,81,81,81,1,9,1,9,9,9,18,72,9,9,9,9,18,72,144,108,108,4,4,12,12,12,96,12,
9,9,9,9,9,9,72,9,9,18,9,9,9,9,72,1,4,4,12,12,12,12,9,9,9,9,9,9,1,1,1,12,12,9,
9,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,81,270,40,720,90,81,1215,1215,486,
90,360,720,1080,810,810,1080,81,1215,405,1215,1215,10,120,240,240,240,240,120,
486,972,810,810,3240,810,405,1215,1215,30,90,1080,360,270,1440,720,720,720,
720,1080,360,486,486,486,405,810,810,810,10,40,80,720,360,405,90,270,1080,270,
2160,1080,486,486,486,405,810,10,120,90,120,240,120,360,720,90,360,1080,90,
270,270,180,540,486,1,80,40,405,90,90,360,90,360,81,270,1,30,120,40,240,120,
90,90,90,180,81,10,1,15,15,120,6,90,81,10,10,10,1,5,15,15,15,6,12,10,10,10,5,
15,15,6,6,6,5,10,10,10,5,6,6,6,5,10,6,5,1,1,1],[1,81,162,40,288,36,81,729,162,
1458,729,108,216,864,1080,972,324,648,81,729,729,729,162,1458,1458,1458,729,
1458,10,120,72,96,96,96,96,576,9,48,72,648,324,972,1944,1944,972,729,729,729,
1458,1458,18,72,90,1080,9,81,432,648,81,162,864,864,864,864,864,432,432,648,
324,972,1944,1944,972,4,40,32,144,144,36,72,288,288,144,288,729,1458,9,18,90,
162,648,81,162,648,81,81,648,81,162,81,162,81,162,1296,1296,972,1944,12,120,
108,36,72,144,144,36,72,288,288,144,288,108,216,864,108,432,432,729,18,9,90,
162,162,162,648,162,81,81,162,162,648,81,81,81,81,81,648,162,81,81,162,162,
162,81,81,162,81,162,81,162,81,1,8,1,8,32,32,16,32,36,72,36,72,108,216,432,
432,108,216,108,108,432,81,162,162,162,162,81,81,81,162,81,162,81,81,162,1,1,
18,72,9,9,48,48,72,288,288,144,288,36,72,36,108,216,108,216,108,108,216,4,32,
4,81,162,81,162,81,162,1,9,1,9,9,9,18,72,9,9,9,9,18,72,144,216,108,108,4,4,12,
12,12,96,12,162,81,1,9,1,9,9,9,9,9,9,9,9,9,9,9,18,18,72,18,9,9,18,9,9,9,9,18,
72,1,4,4,12,12,12,12,9,9,9,9,9,9,18,9,9,9,9,18,1,1,1,4,4,12,12,12,12,9,9,18,9,
9,1,1,1,1,1,1,1,12,12,9,9,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1],[1,81,40,2880,360,3645,2916,1080,3240,3645,2430,10,120,720,960,960,960,960,
5760,90,480,720,2916,9720,3645,90,1080,810,4320,2916,2430,40,40,320,1440,1440,
360,720,2880,2880,1440,2880,810,3240,810,2430,120,360,1080,4320,810,810,1080,
1,80,10,80,320,320,160,320,1080,972,1,90,480,1080,40,320,40,45,90,36,40,120,
30,45,90,81,10,36,120,45,10,36,30,10,30,10,12,1],[1,81,810,40,2880,360,81,
3645,3645,2916,1080,1080,8640,1080,9720,3240,3240,3645,3645,2430,3645,7290,10,
120,720,960,960,960,960,5760,90,480,720,2916,5832,3240,9720,9720,9720,2430,
3645,3645,3645,7290,90,720,90,1080,90,810,4320,6480,810,810,4320,8640,8640,
8640,8640,4320,4320,2916,2916,2916,2430,9720,40,40,320,1440,1440,360,720,2880,
2880,1440,2880,3645,90,810,3240,810,810,810,810,6480,12960,2916,2430,2430,
2430,120,120,1080,360,360,1440,1440,360,720,2880,2880,1440,2880,1080,1080,
8640,1080,4320,4320,810,810,3240,810,810,810,810,1080,3240,1,80,10,80,320,320,
160,320,2430,360,1080,1080,1080,1080,4320,972,810,810,3240,1,10,90,720,90,90,
480,480,720,2880,2880,1440,2880,1080,1080,972,40,320,40,1,45,45,90,90,90,1440,
36,1080,40,40,120,120,120,960,120,45,30,45,45,90,90,90,90,81,10,36,72,40,120,
120,120,30,45,45,45,90,90,81,10,10,10,36,36,36,30,120,45,10,10,10,36,30,30,30,
10,10,10,30,12,10,12,1,1],[1,81,810,40,2880,360,81,3645,810,7290,3645,2916,
1080,1080,8640,1080,9720,3240,3240,81,3645,3645,3645,2430,3645,7290,7290,10,
120,720,960,960,960,960,5760,90,480,720,2916,5832,3240,3240,9720,9720,9720,
9720,2430,3645,3645,3645,3645,7290,3645,7290,90,720,90,1080,90,810,4320,6480,
810,810,4320,8640,8640,8640,8640,4320,4320,2916,2916,2916,2430,3240,9720,9720,
9720,40,40,320,1440,1440,360,720,2880,2880,1440,2880,2430,3645,3645,3645,7290,
90,90,90,810,3240,810,810,6480,810,810,6480,810,810,810,810,810,810,6480,
12960,2916,2916,2916,2430,2430,2430,9720,120,120,1080,360,360,1440,1440,360,
720,2880,2880,1440,2880,1080,1080,8640,1080,4320,4320,3645,90,810,810,810,
3240,810,810,810,810,810,810,810,810,810,810,1080,3240,2916,1,80,10,80,320,
320,160,320,2430,2430,2430,360,360,360,720,1080,1080,4320,4320,1080,1080,1080,
1080,4320,972,810,810,810,810,810,810,3240,1,10,90,720,90,90,480,480,720,2880,
2880,1440,2880,2430,360,1080,1080,1080,1080,1080,972,40,320,40,810,810,1,45,
10,90,45,90,90,720,90,90,90,90,90,720,1440,36,1080,1080,972,40,40,120,120,120,
960,120,1,45,30,45,45,45,90,90,90,90,90,90,90,90,90,81,10,36,72,40,40,120,120,
120,120,30,45,45,90,45,45,45,90,90,90,90,81,10,10,10,36,36,36,30,40,120,120,
120,30,45,45,45,90,90,81,10,10,10,10,10,10,10,36,36,36,30,30,30,120,45,10,10,
10,10,10,10,10,36,30,30,30,12,10,10,10,30,12,10,12,1,1,1],[1,81,810,40,2880,
360,81,3645,810,7290,3645,2916,1080,1080,8640,1080,9720,3240,3240,81,3645,
3645,3645,810,7290,7290,7290,2430,3645,7290,7290,10,120,720,960,960,960,960,
5760,90,480,720,2916,5832,3240,3240,9720,9720,9720,9720,2430,2916,3645,3645,
3645,3645,7290,7290,7290,3645,7290,90,720,90,1080,90,810,4320,6480,810,810,
4320,8640,8640,8640,8640,4320,4320,2916,2916,2916,2430,3240,3240,9720,9720,
9720,9720,40,40,320,1440,1440,360,720,2880,2880,1440,2880,2430,3645,7290,3645,
3645,7290,7290,90,90,90,810,3240,810,810,6480,810,810,6480,810,810,810,810,
810,810,6480,12960,2916,2916,2916,2430,2430,2430,9720,9720,120,120,1080,360,
360,1440,1440,360,720,2880,2880,1440,2880,1080,1080,8640,1080,4320,4320,3645,
3645,3645,90,90,90,810,810,810,3240,810,810,810,810,810,6480,810,810,810,810,
810,6480,810,810,810,810,810,810,810,810,810,810,810,810,810,810,1080,3240,
2916,2916,2916,1,80,10,80,320,320,160,320,2430,2430,2430,360,360,360,720,1080,
1080,4320,4320,1080,1080,1080,1080,4320,972,3645,810,810,810,810,810,810,810,
810,810,810,810,810,810,810,3240,2916,1,10,90,720,90,90,480,480,720,2880,2880,
1440,2880,2430,360,360,360,1080,1080,1080,1080,1080,1080,1080,2160,972,40,320,
40,810,810,810,810,810,810,1,45,10,90,45,90,90,720,90,90,90,90,90,720,1440,36,
1080,1080,1080,1080,972,40,40,120,120,120,960,120,810,810,1,45,10,90,30,45,45,
90,90,45,90,90,90,90,90,90,90,720,90,90,90,90,90,90,90,90,90,90,720,81,10,36,
72,40,40,120,120,120,120,30,36,45,45,90,45,45,90,90,45,90,90,90,90,90,90,90,
90,81,10,10,10,36,36,36,30,40,40,120,120,120,120,30,45,45,90,45,90,90,90,90,
90,81,10,10,10,10,10,10,10,36,36,36,30,30,30,120,120,45,45,90,45,81,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,36,36,36,30,30,30,12,45,10,10,10,10,10,10,
10,36,30,12,10,10,10,12,10,1,1,1,1]],
[1,2,2,3,3,3,4,4,4,4,4,5,6,6,6,6,6,6,6,8,8,8,8,8,8,8,8,8,8,8,8,9,9,9,9,9,9,9,
9,9,9,9,10,10,12,12,12,12,12,12,16,16,16,16,16,16,16,16,16,16,16,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,20,20,20,24,24,24,24,24,24,24,27,27,27,
27,27,27,27,27,27,27,27,32,32,32,32,32,32,32,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,40,40,40,48,48,48,48,48,54,54,54,54,54,54,54,54,54,54,
54,54,54,54,54,54,54,54,54,64,64,64,72,72,72,72,72,72,72,72,72,72,72,72,72,72,
72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,80,80,80,81,81,
81,81,81,81,81,81,96,96,96,108,108,108,108,108,108,108,108,108,108,108,108,
108,120,128,144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,160,
162,162,162,162,162,162,162,162,162,162,162,162,162,192,216,216,216,216,216,
216,216,216,216,216,216,240,243,243,243,288,288,288,288,288,288,324,324,324,
324,324,324,324,324,324,324,324,324,324,324,324,405,432,432,432,432,480,486,
486,486,486,486,486,486,576,576,648,648,648,648,648,648,648,648,648,648,648,
648,648,648,648,648,648,648,648,648,648,648,648,648,648,648,648,648,648,720,
729,810,810,972,972,972,972,972,972,1296,1296,1296,1296,1296,1296,1296,1296,
1296,1296,1296,1296,1296,1296,1296,1296,1296,1296,1440,1458,1458,1458,1620,
1620,1620,1944,1944,1944,1944,1944,1944,1944,2592,2592,2592,2592,2592,2592,
2592,2592,2592,2592,2880,2916,2916,2916,2916,2916,2916,2916,3240,3240,3240,
3888,3888,3888,3888,3888,5184,5184,5184,5184,5760,5832,5832,5832,5832,5832,
5832,5832,5832,5832,5832,5832,5832,5832,5832,5832,6480,6480,6480,7776,7776,
7776,9720,10368,11664,11664,11664,11664,11664,11664,11664,12960,15552,19440,
23328,23328,23328,38880,46656,58320,116640,233280,466560],
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402,219,219,219,299,154,154,154,249,219,154,153,440,393,318,297,297,297,297,
195,400,338,304,235,192,230,231,132,133,133,132,249,235,219,219,219,219,153,
154,154,219,153,399,318,400,290,400,300,217,174,300,299,214,149,149,149,149,
216,215,235,235,235,249,230,231,132,133,133,132,427,426,359,278,278,352,329,
246,245,285,248,249,219,154,219,219,155,153,400,399,400,299,234,300,299,168,
300,300,174,300,299,300,299,300,299,190,125,235,235,235,249,249,249,132,133,
396,397,288,353,351,278,278,352,329,246,245,285,248,288,287,149,289,217,217,
219,219,219,399,400,400,299,299,299,234,299,300,300,299,299,168,300,300,300,
300,300,174,299,300,300,299,299,299,300,300,299,300,299,300,299,300,290,234,
235,235,235,444,409,440,412,359,359,386,359,249,249,249,353,351,352,329,288,
287,211,212,289,287,289,288,217,291,219,300,299,299,299,299,300,300,300,299,
300,299,300,300,299,234,235,444,440,399,318,400,400,338,339,329,245,246,285,
248,249,353,351,352,289,287,288,287,288,289,290,260,291,427,359,426,300,299,
300,299,300,299,444,425,440,400,425,400,399,318,400,400,400,400,399,329,285,
433,287,288,289,290,291,427,426,396,397,396,297,397,299,300,444,425,440,400,
434,425,425,400,400,425,400,400,400,400,400,399,399,318,399,400,400,399,400,
400,400,400,399,401,329,402,440,433,420,427,426,396,397,397,396,434,433,425,
425,400,425,425,400,400,425,401,399,400,400,401,400,400,399,402,440,440,440,
433,433,433,434,427,426,396,397,396,397,434,425,425,400,425,399,400,400,398,
401,402,440,440,440,440,440,440,440,433,433,433,434,434,434,396,397,425,425,
400,425,402,440,440,440,440,440,440,440,440,440,440,440,440,440,440,440,433,
433,433,434,434,434,439,425,440,440,440,440,440,440,440,433,434,439,440,440,
440,439,440,444,444,444,444],
[1,1,1,1,1,1,1,1,1,1,1,1,6,4,5,4,6,1,1,1,1,1,1,1,1,1,1,2,1,1,2,1,1,1,1,1,1,1,
1,1,1,1,1,12,1,1,6,4,4,6,2,1,8,1,1,1,2,1,1,8,8,32,34,32,33,40,40,41,42,1,1,4,
5,5,5,5,4,6,12,12,1,28,1,1,6,4,4,6,1,1,1,1,1,1,4,4,4,4,4,2,1,1,8,8,2,8,40,32,
32,32,33,40,32,34,40,40,42,1,1,40,32,40,32,33,41,12,1,12,28,82,82,6,4,89,90,
94,32,32,34,34,40,95,96,97,98,99,4,4,5,6,41,33,8,1,8,32,40,32,32,32,32,33,32,
40,40,32,32,34,40,40,40,40,40,42,32,40,40,32,32,32,40,40,32,40,32,40,1,1,65,
65,12,12,1,1,1,1,4,4,4,4,4,82,82,28,32,32,40,95,94,90,92,93,89,90,89,94,98,
218,23,40,32,32,32,32,40,40,40,32,40,32,40,40,32,111,43,194,196,32,34,40,32,
90,89,95,97,96,98,99,82,32,32,40,89,90,94,90,94,89,189,95,218,32,32,32,40,32,
40,32,40,32,194,194,196,196,194,196,194,195,196,196,32,40,32,95,200,194,90,94,
89,259,218,194,196,89,90,262,263,264,32,40,194,194,196,196,236,194,194,196,
196,194,196,196,196,196,196,194,194,195,32,40,32,194,196,196,196,196,194,236,
197,330,32,194,286,194,196,262,264,264,262,236,194,272,194,196,194,194,196,
196,272,236,194,196,196,272,196,196,194,330,331,194,196,286,286,194,305,194,
196,262,264,262,264,236,272,194,196,272,194,196,196,236,272,330,331,331,331,
331,196,194,331,286,286,194,365,365,305,262,264,272,194,196,272,330,331,331,
331,331,194,196,331,331,331,331,331,331,331,331,331,194,286,286,365,365,305,
424,307,331,331,331,331,331,331,331,332,365,424,331,331,331,424,331,441,441,
441,441],
[( 1,61,41,29,18,64,65,44,35,47,33,60,66,45,51,31,70,53,34,21,13, 8, 4, 2)
( 3, 7,56,37,72,68,49,30,19,12,27,40,24,15,10,73,71,54,55,36,22,14, 9, 6)
(11,26,16,81,79,69,78,63,43,52,32,20,38,23,62,42,25,75,57,39,50,46,28,17)
(48,76,58,59,77,80,74,67),( 1,18,11, 6,41,24,81,77,58,38,34,52,79,69,50,30,36,
78,70,61,65,76,73,55,63,68,64,43,25,15,47,28,44,26,46,57,37,22,51,32,31,19,
13,74,56,60,40,53,42,75,66,72,54,35,21,59,39,23,14,48,29,17,80,71,67,62,45,
27,16,10, 5, 2, 9, 4,49,33,20,12, 7, 3)],
[[[[]]],[[[2,1,1,1,2,-1,1,2,2,2],[3,-2]]],[[[1,1,2,-1,1,-2,2,2,1,1],[3,
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1]]],[[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[3,2],[4,1,5,1,4,-1,3,-1,
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2,-1,1,-3],[1,-1,2,2,1,2],[3,1,4,-1,3,2,4,1,3,1,4,1]],[[2,2,1,-1,2,-1,1,-3],[
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-1,4,-2,2,-1],[3,2],[6,1,3,1,5,1,6,-1,5,-1,6,-1]],[[1,2],[3,2,2,-1,3,-2,2,
-1],[4,4]]],[[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[4,1,3,-1,4,1,3,2,
4,-1,3,-1,4,-1]],[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[3,2,4,1,3,-2,
4,-1]]],[[[1,2,2,1,1,1,2,1,1,1,2,-2],[3,3]]],[[[2,2,1,-1,2,-1,1,-3],[3,2],[3,
1,1,-2,2,-2,1,1],[5,1,4,-2,5,-1]],[[2,2,1,-1,2,-1,1,-3],[1,-1,2,2,1,2],[4,1,3,
1,4,1,3,1,4,-1,3,-2]]],[[[1,2],[3,2,2,-1,3,-2,2,-1]]],[[[1,1,2,-1,1,-2,2,2,1,
1],[2,1,1,-2,2,-2,1,-1],[3,1,4,2,3,1]]],[[[2,2,1,-1,2,-1,1,-3],[1,-1,2,2,1,
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1,6,-1,5,1,6,1]],[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[4,1,3,-1,4,3,
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1]]],[[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[4,2,3,-1,4,1,3,-1,4,
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-1],[3,2],[5,-2,4,2,5,1]],[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[4,
2],[3,2,5,-2]]],[[[2,2,1,-1,2,-1,1,-3],[3,2],[3,1,1,-1,2,2,1,2],[4,1,5,1,4,1,
5,1]],[[2,2,1,-1,2,-1,1,-3],[1,-1,2,2,1,2],[4,1,3,-1,4,2,3,1]]],[[[2,2,1,-1,2,
-1,1,-3],[1,-1,2,2,1,2],[3,2],[4,2],[5,1,6,-1,5,1,6,-1]],[[2,2,1,-1,2,-1,1,
-3],[1,-1,2,2,1,2],[3,2],[5,-2,4,1,5,-2,4,-1]]],[[[2,2,1,-1,2,-1,1,-3],[3,2],[
3,1,1,-2,2,-2,1,1],[4,1,5,2,4,1]],[[2,2,1,-1,2,-1,1,-3],[1,-1,2,2,1,2],[4,1,3,
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4,1,5,-1]],[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[3,1,4,-2,3,1,4,
1]]],[[[2,2,1,-1,2,-1,1,-3],[1,-1,2,2,1,2],[4,1,3,-1,4,-1,3,2,4,1]],[[2,2,1,
-1,2,-1,1,-3],[1,-1,2,2,1,2],[4,1,3,-1,4,2,3,1]]],[[[2,2,1,-1,2,-1,1,-3],[1,
-1,2,2,1,2],[4,1,3,1,4,-1,3,3,4,-1]],[[2,2,1,-1,2,-1,1,-3],[1,-1,2,2,1,2],[4,
1,3,-1,4,2,3,1]]],[[[2,2,1,-1,2,-1,1,-3],[3,2],[4,1,1,-1,2,2,1,2],[4,1,5,1,4,
1,5,1]],[[2,2,1,-1,2,-1,1,-3],[1,-1,2,2,1,2],[4,1,3,-1,4,2,3,1]]],[[[1,1,2,-1,
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1],[2,1,1,-2,2,-2,1,-1],[3,2],[4,-1,5,-2,4,1]]],[[[1,1,2,-1,1,-2,2,2,1,1],[2,
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-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[3,2],[3,1,4,1],[6,1,5,1,4,1,5,-1,6,-1,4,
-1]],[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[4,2,3,1,4,1,3,1,4,1,3,
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-1]],[[1,2],[3,2,2,-1,3,-2,2,-1],[1,2,2,1,1,1,2,1,1,1,2,-2,4,1],[4,1,5,1,4,1,
5,1]],[[1,2,2,1,1,1,2,1,1,1,2,-2],[3,2],[4,2,3,1]]],[[[1,2],[3,2,2,-1,3,-2,2,
-1],[4,1,1,2,2,1,1,1,2,1,1,1,2,-2],[4,1,5,1,4,1,5,1]],[[1,2],[3,2,2,-1,3,-2,2,
-1],[1,2,2,1,1,1,2,1,1,1,2,-2,4,1],[4,1,5,1,4,1,5,1]],[[1,2,2,1,1,1,2,1,1,1,2,
-2],[3,2],[4,2,3,1]]],[[[2,2,1,-1,2,-1,1,-3],[1,-1,2,2,1,2],[3,2,4,1,3,2,4,
1]],[[2,2,1,-1,2,-1,1,-3],[1,-1,2,2,1,2],[4,1,3,-1,4,1,3,1]],[[2,2,1,-1,2,-1,
1,-3],[1,-1,2,2,1,2],[3,1,4,-1,3,-1,4,-2]]],[[[2,2,1,-1,2,-1,1,-3],[1,-1,2,2,
1,2],[3,1,4,3,3,-1,4,1]],[[2,2,1,-1,2,-1,1,-3],[1,-1,2,2,1,2],[4,1,3,-1,4,2,3,
1]],[[2,2,1,-1,2,-1,1,-3],[1,-1,2,2,1,2],[3,1,4,-1,3,-1,4,-2]]],[[[1,1,2,-1,1,
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1,1,-2,2,-2,1,-1],[4,1,3,-1,4,1,3,2,4,-1,3,-1,4,-1]],[[1,1,2,-1,1,-2,2,2,1,
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1,3,-1,5,-2,3,-1,5,-1]],[[1,2],[3,2,2,-1,3,-2,2,-1],[4,4]]],[[[1,1,2,-1,1,-2,
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1,1],[2,1,1,-2,2,-2,1,-1],[4,1,3,1,4,1,3,-2,4,2,3,1]],[[1,1,2,-1,1,-2,2,2,1,
1],[2,1,1,-2,2,-2,1,-1],[3,2,4,1,3,-1,4,-1,3,-1]]],[[[1,1,2,-1,1,-2,2,2,1,1],[
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-2,1,-1],[4,2,3,1,4,1,3,-1,4,1]],[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,
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-2,4,2,3,1]]],[[[2,2,1,-1,2,-1,1,-3],[1,-1,2,2,1,2],[4,1,3,1,4,2,3,-1]],[[2,2,
1,-1,2,-1,1,-3],[3,-4]]],[[[2,2,1,-1,2,-1,1,-3],[3,2],[1,-1,2,2,1,2,4,1],[5,1,
4,1,5,1,4,1]],[[2,2,1,-1,2,-1,1,-3],[1,-1,2,2,1,2],[3,3,4,1,3,1,4,-2]]],[[[1,
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4,-1]],[[2,2,1,-1,2,-1,1,-3],[1,-1,2,2,1,2],[4,1,3,1,4,1,3,-1]]],[[[1,2],[1,1,
2,1,3,-2,2,-2]]],[[[2,2,1,-1,2,-1,1,-3],[1,-1,2,2,1,2],[3,2],[4,1,5,1,4,-1,5,
-2]]],[[[2,2,1,-1,2,-1,1,-3],[1,-1,2,2,1,2],[4,1,3,-1,4,1,3,-2,4,-1,3,-1]],[[
2,2,1,-1,2,-1,1,-3],[1,-1,2,2,1,2],[4,1,3,1,4,1,3,1,4,-2]]],[[[1,1,2,-1,1,-2,
2,2,1,1],[2,1,1,-2,2,-2,1,-1],[3,1,4,1],[5,1,4,1,3,2,5,1]],[[1,1,2,-1,1,-2,2,
2,1,1],[2,1,1,-2,2,-2,1,-1],[4,1,3,-1,4,-1,3,1,4,-2]]],[[[2,1,1,-2,2,-2,1,
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1,-2,2,-2,1,-1],[3,2],[4,1,3,1,4,1],[5,1,6,1,5,1,6,-1]],[[1,1,2,-1,1,-2,2,2,1,
1],[2,1,1,-2,2,-2,1,-1],[4,2,3,-1,4,1,3,-1,4,-1]]],[[[1,1,2,-1,1,-2,2,2,1,1],[
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2,1,1,1,2,-2],[4,1,5,1,4,1,5,1]],[[1,2],[3,2,2,-1,3,-2,2,-1],[4,4]],[[1,2],[3,
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6,-1]],[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[3,2,4,1,3,-1,4,-1,3,
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1,6,1,5,-1,4,-1,6,-1]],[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[3,2,4,1,
3,-1,4,-1,3,-1]],[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[3,1,4,1],[4,1,
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1]]],[[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[4,1,3,1,4,1,3,-1,4,
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2,2,1,1],[2,1,1,-2,2,-2,1,-1],[3,2],[5,1,4,1,3,1,4,-1,3,-1,5,-1]],[[1,1,2,-1,
1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[4,2,3,-1,4,-1,3,1,4,-1]]],[[[1,1,2,-1,1,
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2,2,1,1],[2,1,1,-2,2,-2,1,-1],[3,2,4,-1,3,-1,4,1,3,-1]]],[[[2,2,1,-1,2,-1,1,
-3],[3,2],[3,1,1,-2,2,-2,1,1],[4,1,5,2,4,1]],[[2,2,1,-1,2,-1,1,-3],[1,-1,2,2,
1,2],[4,1,3,-1,4,2,3,1]],[[2,2,1,-1,2,-1,1,-3],[3,2],[3,1,1,-1,2,2,1,2],[4,1,
5,1,4,1,5,1]]],[[[2,1,1,1,2,-1,1,2,2,2],[1,2],[1,1,2,1,4,-2,2,-2],[3,1,5,1,3,
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2,1,-1,2,-1,1,-3],[1,-1,2,2,1,2],[3,3,4,1,3,1,4,-2]],[[2,2,1,-1,2,-1,1,-3],[1,
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1,-1,2,-1,1,-3],[1,-1,2,2,1,2],[4,1,3,-1,4,1,3,-1]]],[[[1,1,2,-1,1,-2,2,2,1,
1],[2,1,1,-2,2,-2,1,-1],[4,1,3,2,4,-1,3,2]],[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,
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2,2,1,2,2,-1],[5,1,4,1,5,1,4,1]],[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,
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-1],[3,2],[4,2],[5,1,6,-1,5,1,6,-1]],[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,
1,-1],[4,1,3,-1,4,1,3,-1]]],[[[1,2,2,1,1,1,2,1,1,1,2,-2],[1,2],[4,2,2,-1,4,-2,
2,-1],[3,2],[5,1,3,1,5,1],[6,1,7,-1,6,1,7,-1]],[[1,2],[3,2,2,-1,3,-2,2,-1],[4,
4]]],[[[2,2,1,-1,2,-1,1,-3],[1,-1,2,2,1,2],[4,1,3,-2,4,-2]],[[2,2,1,-1,2,-1,1,
-3],[3,1,1,-1,2,2,1,2,3,1]]],[[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[
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2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[4,1,3,-1,4,-1,3,1]]],[[[2,2,1,-1,2,
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2],[4,1,3,-1,4,2,3,1]]],[[[2,2,1,-1,2,-1,1,-3],[1,-1,2,2,1,2],[4,1,3,-1,4,-1,
3,3,4,1]],[[2,2,1,-1,2,-1,1,-3],[1,-1,2,2,1,2],[4,1,3,-1,4,2,3,1]]],[[[1,1,2,
-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[4,2],[5,1,3,2,5,1]],[[1,1,2,-1,1,-2,2,
2,1,1],[2,1,1,-2,2,-2,1,-1],[3,2,4,1,3,-2,4,-1]]],[[[2,2,1,-1,2,-1,1,-3],[1,
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4,2,3,1]]],[[[2,2,1,-1,2,-1,1,-3],[1,-1,2,2,1,2],[3,2],[4,-1,5,-2,4,1]],[[2,2,
1,-1,2,-1,1,-3],[1,-1,2,2,1,2],[4,1,3,-1,4,2,3,1]],[[2,2,1,-1,2,-1,1,-3],[1,
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2,-1,4,-2,2,-1],[5,1,3,-1,5,-2,3,-1,5,-1]],[[1,2],[3,2,2,-1,3,-2,2,-1],[4,
4]]],[[[2,2,1,-1,2,-1,1,-3],[1,-1,2,2,1,2],[4,1,3,-1,4,1,3,-2,4,-1,3,-1]],[[2,
2,1,-1,2,-1,1,-3],[1,-1,2,2,1,2],[3,1,4,3,3,-1,4,1]],[[2,2,1,-1,2,-1,1,-3],[1,
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-1],[4,1,3,1,4,1,3,-2,4,1,3,-1,4,1]],[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,
1,-1],[4,2,3,-1,4,-1,3,-1,4,-1,3,-2]],[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,
1,-1],[3,1,4,-2,3,-2,4,-1,3,-1,4,-1]]],[[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,
-2,1,-1],[3,2],[4,2],[5,1,6,-1,5,1,6,-1]],[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,
2,-2,1,-1],[4,1,3,-1,4,3,3,1]]],[[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,
-1],[4,1,3,1,4,1,3,2,4,2,3,1]],[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[
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2]],[[2,2,1,-1,2,-1,1,-3],[1,-1,2,2,1,2],[3,1,4,-2,3,1]]],[[[2,2,1,-1,2,-1,1,
-3],[1,-1,2,2,1,2],[4,1,3,-3,4,1,3,1]]],[[[2,2,1,-1,2,-1,1,-3],[3,2],[3,1,1,
-2,2,-2,1,1],[5,1,4,-2,5,-1]],[[2,2,1,-1,2,-1,1,-3],[1,-1,2,2,1,2],[3,3,4,1,3,
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-1,1,-3],[1,-1,2,2,1,2],[4,1,3,-1,4,2,3,1]]],[[[2,2,1,-1,2,-1,1,-3],[1,-1,2,2,
1,2],[3,2],[4,1,3,-1,5,-1,4,1,3,1,5,1]],[[2,2,1,-1,2,-1,1,-3],[1,-1,2,2,1,2],[
4,1,3,1,4,1,3,-1]]],[[[2,2,1,-1,2,-1,1,-3],[3,-4]],[[2,2,1,-1,2,-1,1,-3],[1,
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1,3,-1,4,-1,3,-2]],[[2,2,1,-1,2,-1,1,-3],[1,-1,2,2,1,2],[4,1,3,-1,4,2,3,
1]]],[[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[3,2],[5,1,4,1,5,-2,4,-1,
5,-1]],[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[3,1,4,1],[5,1,4,1,3,2,5,
1]]],[[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[3,2],[4,-1,5,-2,4,1]],[[
1,1,2,-1,1,-2,2,2,1,1],[3,-4]],[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[
3,1,4,-1,3,-2,4,1,3,1]],[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[4,1,3,
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1,5,1,4,1,5,1]],[[1,2],[3,2,2,-1,3,-2,2,-1],[4,4]],[[1,2],[3,2,2,-1,3,-2,2,
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-1]]],[[[1,2,2,1,1,1,2,1,1,1,2,-2],[1,2],[4,2,2,-1,4,-2,2,-1],[3,2],[6,1,5,-1,
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1]]],[[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[3,2],[4,-1,5,1,4,1,5,
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-1]]],[[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[3,2],[5,1,4,1,5,-2,4,-1,
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-1]],[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[4,1,3,-1,4,2,3,1,4,
1]]],[[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[4,1,3,1,4,1,3,2,4,2,3,
1]],[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[3,2],[4,-1,5,1,4,1,5,
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2,1,1],[2,1,1,-2,2,-2,1,-1],[3,1,4,1,3,-1,4,-1]]],[[[1,2,2,1,1,1,2,1,1,1,2,
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2,-2,1,-1],[3,3,4,-1,3,1,4,1]],[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[
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2],[6,1,3,1,5,-1,6,1,5,1,3,1]],[[1,2],[3,2,2,-1,3,-2,2,-1],[4,4]]],[[[2,2,1,
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-1]]],[[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[3,2],[3,1,4,1,5,1,4,-2,
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1,1,-2,2,-2,1,-1],[3,2],[5,1,4,2,5,1,3,1,4,-1]],[[1,1,2,-1,1,-2,2,2,1,1],[2,1,
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2,-1,4,-2,2,-1],[3,2],[3,1,5,-1,6,2,5,-1,6,1]],[[1,2,2,1,1,1,2,1,1,1,2,-2],[3,
2],[4,2,3,1]]],[[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[4,1,3,2,4,-1,3,
2]],[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[3,2],[4,-1,3,1,4,1]]],[[[2,
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2,-2,1,1]]],[[[2,2,1,-1,2,-1,1,-3],[1,-1,2,2,1,2],[4,1,3,2,4,1,3,1,4,1]],[[2,
2,1,-1,2,-1,1,-3],[1,-1,2,2,1,2],[4,1,3,-1,4,2,3,1]]],[[[1,1,2,-1,1,-2,2,2,1,
1],[2,1,1,-2,2,-2,1,-1],[3,2],[5,-2,4,-1,3,-1,4,-1]],[[1,1,2,-1,1,-2,2,2,1,
1],[2,1,1,-2,2,-2,1,-1],[3,2,4,1,3,-1,4,1]]],[[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,
-2,2,-2,1,-1],[4,1,3,-2,4,2]],[[1,1,2,-1,1,-2,2,2,1,1],[3,1,2,1,1,-2,2,-2,1,
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1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[4,1,3,-1,4,1,3,1,4,-1,3,2]]],[[[2,
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-1,1,-3],[1,-1,2,2,1,2],[4,1,3,-1,4,2,3,1]]],[[[2,2,1,-1,2,-1,1,-3],[1,-1,2,2,
1,2],[3,3,4,2]],[[2,2,1,-1,2,-1,1,-3],[1,-1,2,2,1,2],[4,1,3,-1,4,2,3,1]]],[[[
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-1,1,-3],[3,1,1,-1,2,2,1,2,3,1]]],[[[1,-1,2,2,1,2],[2,2,1,-1,2,-1,1,-3,3,
4]],[[2,2,1,-1,2,-1,1,-3],[3,1,1,-1,2,2,1,2,3,1]]],[[[1,1,2,-1,1,-2,2,2,1,1],[
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1],[2,1,1,-2,2,-2,1,-1],[4,1,3,2,4,-1,3,2]]],[[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,
-2,2,-2,1,-1],[3,2],[5,1,4,-1,5,1,4,1]],[[2,1,1,-2,2,-2,1,-1],[1,-1,2,-2,1,2,
2,1,1,-1,3,-2]]],[[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[4,2,3,-1,4,1,
3,-1,4,-1]],[[1,1,2,-1,1,-2,2,2,1,1],[3,-4]]],[[[2,2,1,-1,2,-1,1,-3],[1,-1,2,
2,1,2],[3,1,4,-1,3,1,4,-1]],[[2,2,1,-1,2,-1,1,-3],[3,1,1,-1,2,2,1,2,3,1]]],[[[
2,2,1,-1,2,-1,1,-3],[1,-1,2,2,1,2],[3,2],[4,-1,5,-2,4,1]],[[2,2,1,-1,2,-1,1,
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-2,1,-1],[3,2],[3,1,4,1,5,-1,3,-1,4,-1,5,-1]],[[1,1,2,-1,1,-2,2,2,1,1],[3,1,2,
1,1,-2,2,-2,1,-1],[4,2,3,2]]],[[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[
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3,1,5,1,4,1,5,1]],[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[3,2,4,3,3,-1,
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1,-3],[3,3,1,-2,2,-2,1,1,3,1]]],[[[2,2,1,-1,2,-1,1,-3],[3,1,1,-1,2,2,1,2],[3,
2,4,2]],[[2,2,1,-1,2,-1,1,-3],[1,-1,2,2,1,2],[3,1,4,3,3,-1,4,1]]],[[[1,1,2,-1,
1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[4,1,3,1],[5,1,3,2,4,1,5,1]],[[1,1,2,-1,1,
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1,1],[2,1,1,-2,2,-2,1,-1],[3,1,4,-1,3,2,4,-1,3,1,4,-1]]],[[[2,2,1,-1,2,-1,1,
-3],[1,-1,2,2,1,2],[3,1,4,3,3,-1,4,1]],[[2,2,1,-1,2,-1,1,-3],[1,-1,2,2,1,2],[
4,1,3,-1,4,-1,3,1,4,1]],[[2,2,1,-1,2,-1,1,-3],[1,-1,2,2,1,2],[4,1,3,2,4,
2]]],[[[1,1,2,-1,1,-2,2,2,1,1],[3,2],[2,1,1,-2,2,-2,1,-1,4,1],[4,1,5,-1,4,1,5,
1]],[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[4,1,3,-1,4,-1,3,1,4,-2]],[[
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-1]]],[[[2,2,1,-1,2,-1,1,-3],[1,-1,2,2,1,2],[4,1,3,-1,4,2,3,1]],[[2,2,1,-1,2,
-1,1,-3],[1,-1,2,2,1,2],[4,1,3,-1,4,-1,3,1,4,1]],[[2,2,1,-1,2,-1,1,-3],[1,-1,
2,2,1,2],[3,1,4,-1,3,-1,4,-2]]],[[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,
-1],[3,1,4,2,3,1,4,-2]],[[2,1,1,-2,2,-2,1,-1],[3,4,1,1,2,-1,1,-2,2,2,1,
1]]],[[[2,2,1,-1,2,-1,1,-3],[1,-1,2,2,1,2],[4,1,3,-1,4,1,3,1,4,1,3,2]],[[2,2,
1,-1,2,-1,1,-3],[1,-1,2,2,1,2],[4,1,3,-1,4,-1,3,1,4,1]]],[[[1,2,2,1,1,1,2,1,1,
1,2,-2],[1,2],[4,2,2,-1,4,-2,2,-1],[3,2],[3,1,5,1],[7,1,6,1,5,1,6,-1,7,-1,5,
-1]],[[1,2,2,1,1,1,2,1,1,1,2,-2],[1,2],[4,2,2,-1,4,-2,2,-1],[3,2],[3,1,5,1],[
6,1,5,-1,6,-1,7,-2,5,-1]],[[1,2,2,1,1,1,2,1,1,1,2,-2],[3,2],[4,2,3,1]]],[[[2,
1,1,1,2,-1,1,2,2,2],[1,2],[1,1,2,1,4,-2,2,-2],[3,-2,5,-1,3,1,5,1]],[[1,2],[1,
1,2,1,3,-2,2,-2],[4,3,2,1,1,1,2,-1,1,2,2,2,4,1]]],[[[1,-1,2,2,1,2],[3,1,1,3,2,
1,1,1,2,-2],[4,1,3,1,4,1,3,1]],[[2,2,1,-1,2,-1,1,-3],[1,-1,2,2,1,2],[4,1,3,-3,
4,-2]]],[[[1,-1,2,2,1,2],[3,1,1,3,2,1,1,1,2,-2],[4,1,3,1,4,1,3,1]],[[2,2,1,-1,
2,-1,1,-3],[1,-1,2,2,1,2],[3,1,4,-2,3,1]]],[[[2,2,1,-1,2,-1,1,-3],[1,-1,2,2,1,
2],[3,1,4,-1,3,-2,4,-1]]],[[[1,2],[3,2,2,-1,3,-2,2,-1],[4,1,2,2,1,-1,2,-1,1,
-1,2,-1,1,-2],[5,1,4,1,5,1,4,1]],[[1,2],[3,2,2,-1,3,-2,2,-1],[4,4]],[[1,2,2,1,
1,1,2,1,1,1,2,-2],[1,2],[4,2,2,-1,4,-2,2,-1],[3,1,5,2,3,1,5,-2]],[[1,2],[3,2,
2,-1,3,-2,2,-1],[1,2,2,1,1,1,2,1,1,1,2,-2,4,1],[4,1,5,1,4,1,5,1]]],[[[1,1,2,
-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[3,1,4,-2,3,-2,4,1,3,1,4,1]],[[1,1,2,-1,
1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[3,1,4,1,3,-1,4,-1]],[[1,1,2,-1,1,-2,2,2,1,
1],[2,1,1,-2,2,-2,1,-1],[3,1,4,-2,3,1,4,2,3,-2]],[[1,1,2,-1,1,-2,2,2,1,1],[2,
1,1,-2,2,-2,1,-1],[3,1,4,1],[4,1,5,-2,4,1,3,2]]],[[[1,1,2,-1,1,-2,2,2,1,1],[2,
1,1,-2,2,-2,1,-1],[3,2],[5,1,4,1,5,-2,4,-1,5,1]],[[1,1,2,-1,1,-2,2,2,1,1],[2,
1,1,-2,2,-2,1,-1],[3,2,4,1,3,-2,4,-1]],[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,
-2,1,-1],[3,2,4,-1,3,-2,4,1]],[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[
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2],[4,1,3,1,5,1,4,-1,3,-1,5,-1]],[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,
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1,4,-1,3,-1,4,-1]]],[[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[3,2],[3,1,
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-1],[3,2],[5,1,4,1,3,1,4,-1,3,-1,5,-1]],[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,
-2,1,-1],[4,2,3,-1,4,-1,3,1,4,-1]],[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,
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-2,2,-1],[3,2],[3,1,5,-1,6,2,5,1,6,1]],[[1,2],[3,2,2,-1,3,-2,2,-1],[4,4]],[[1,
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2,2,1,1],[2,1,1,-2,2,-2,1,-1],[3,1,4,-1,3,-2,4,1,3,1]]],[[[2,2,1,-1,2,-1,1,
-3],[1,-1,2,2,1,2],[3,2,4,-2]],[[2,2,1,-1,2,-1,1,-3],[1,-1,2,2,1,2],[3,1,4,-2,
3,1]],[[2,2,1,-1,2,-1,1,-3],[1,-1,2,2,1,2],[3,1,4,-1,3,1,4,1]]],[[[2,2,1,-1,2,
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2,3,1]]],[[[2,2,1,-1,2,-1,1,-3],[1,-1,2,2,1,2],[3,2],[5,1,4,-1,5,1,4,1,5,
1]],[[2,2,1,-1,2,-1,1,-3],[1,-1,2,2,1,2],[4,1,3,-1,4,2,3,1]]],[[[1,1,2,-1,1,
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-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[4,1,3,-2,4,-1]]],[[[2,1,1,-2,2,-2,1,-1],[3,
1,1,1,2,-1,1,-2,2,2,1,1],[3,1,4,1,3,1,4,-1]],[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,
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-2,1,-1],[4,1,3,-2,4,1]],[[2,1,1,-2,2,-2,1,-1],[3,1,1,1,2,-1,1,-2,2,2,1,1],[3,
1,4,1,3,1,4,-1]]],[[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[3,1,4,1,3,2,
4,1,3,1]],[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[3,2,4,1,3,-2,4,
-1]]],[[[1,1,2,-1,1,-2,2,2,1,1],[3,1,1,1,2,2,1,2,2,-1],[4,2,3,2]],[[1,1,2,-1,
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1],[2,1,1,-2,2,-2,1,-1],[3,2],[5,-2,4,-1,5,1,4,-1,5,-1]],[[1,1,2,-1,1,-2,2,2,
1,1],[2,1,1,-2,2,-2,1,-1],[3,3,4,2,3,1]]],[[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,
2,-2,1,-1],[4,1,3,1,4,1,3,2,4,1,3,1,4,-1]],[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,
2,-2,1,-1],[4,1,3,-1,4,3,3,1]]],[[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,
-1],[4,1,3,-1,4,1,3,2,4,-1,3,-1,4,-1]],[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,
-2,1,-1],[4,2,3,-1,4,1,3,-1,4,-1]]],[[[1,2],[3,2,2,-1,3,-2,2,-1],[4,1,1,2,2,1,
1,1,2,1,1,1,2,-2],[4,1,5,1,4,1,5,1]],[[1,2,2,1,1,1,2,1,1,1,2,-2],[1,2],[4,2,2,
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1]]],[[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[3,2,4,1,3,1,4,3,3,1]],[[
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-1,1,-2,2,2,1,1],[3,2],[3,1,1,1,2,2,1,2,2,-1],[5,1,4,-2,5,-1]]],[[[1,1,2,-1,1,
-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[3,2],[5,1,4,-1,5,1,4,1]],[[1,1,2,-1,1,-2,2,
2,1,1],[2,1,1,-2,2,-2,1,-1],[4,1,3,-1,4,3,3,1]],[[1,1,2,-1,1,-2,2,2,1,1],[2,1,
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2,-1,4,-2,2,-1],[3,2],[5,1,6,2,5,-1,6,-1]],[[1,2,2,1,1,1,2,1,1,1,2,-2],[1,2],[
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-1]]],[[[2,2,1,-1,2,-1,1,-3],[3,3,1,-1,2,2,1,2]],[[2,2,1,-1,2,-1,1,-3],[1,-1,
2,2,1,2],[3,1,4,-2,3,1]]],[[[2,2,1,-1,2,-1,1,-3],[1,-1,2,2,1,2],[3,1,4,-2,3,1,
4,1]],[[2,2,1,-1,2,-1,1,-3],[1,-1,2,2,1,2],[4,1,3,1,4,1,3,2]]],[[[2,1,1,1,2,
-1,1,2,2,2],[1,2],[1,1,2,1,4,-2,2,-2],[5,1,3,1,5,1],[6,1,3,-2,6,-1]],[[1,2],[
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2],[4,-1,5,1,4,1]],[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[3,2,4,-1,3,
-1,4,-1]]],[[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[3,2],[5,1,4,2,3,1,
4,-1,5,1]],[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[4,1,3,-1,4,1,3,
-1]]],[[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[3,2,4,1,3,-1,4,-2]],[[1,
1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[3,2],[5,1,4,-1,5,1,4,1]]],[[[1,-1,
2,2,1,2],[2,2,1,-1,2,-1,1,-3,3,4]],[[2,2,1,-1,2,-1,1,-3],[3,1,1,-1,2,2,1,2,3,
1]],[[2,2,1,-1,2,-1,1,-3],[1,-1,2,2,1,2],[3,1,4,-1,3,1,4,-1]]],[[[1,1,2,-1,1,
-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[3,2],[5,-2,4,-1,5,1,4,1]],[[1,1,2,-1,1,-2,2,
2,1,1],[2,1,1,-2,2,-2,1,-1],[3,2],[4,-1,5,1,3,1,4,-1]]],[[[1,-1,2,2,1,2],[1,3,
2,1,1,1,2,-2,3,-2]],[[2,2,1,-1,2,-1,1,-5,2,-2,1,1]]],[[[1,1,2,-1,1,-2,2,2,1,
1],[3,2],[4,1,1,1,2,2,1,2,2,-1],[5,1,4,1,5,1,4,1]],[[1,1,2,-1,1,-2,2,2,1,1],[
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2],[3,1,4,-2,3,1,4,1]],[[2,2,1,-1,2,-1,1,-3],[3,1,1,-1,2,2,1,2,3,1]]],[[[1,1,
2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[3,1,4,1],[5,1,4,1,5,1,3,2]],[[1,1,2,
-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[3,2],[5,1,4,-1,5,1,4,1]],[[2,1,1,-2,2,
-2,1,-1],[3,1,1,1,2,-1,1,-2,2,2,1,1],[4,1,3,-1,4,-1,3,-1]]],[[[2,2,1,-1,2,-1,
1,-3],[1,-1,2,2,1,2],[4,1,3,2,4,2]],[[2,2,1,-1,2,-1,1,-3],[1,-1,2,2,1,2],[4,1,
3,-1,4,2,3,1]],[[2,2,1,-1,2,-1,1,-3],[1,-1,2,2,1,2],[3,1,4,-1,3,-1,4,-2]]],[[[
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-3],[3,3,1,-2,2,-2,1,1,3,1]]],[[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[
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1,3,1]]],[[[1,2,2,1,1,1,2,1,1,1,2,-2],[1,2],[4,2,2,-1,4,-2,2,-1],[3,2],[6,1,5,
1,3,1,5,1,6,1,3,1]],[[1,2,2,1,1,1,2,1,1,1,2,-2],[1,2],[4,2,2,-1,4,-2,2,-1],[3,
1,5,-1,3,-2,5,-1]]],[[[2,2,1,-1,2,-1,1,-3],[1,-1,2,2,1,2],[3,1,4,-2,3,1]],[[1,
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2,1,-1,2,-1,1,-1,2,-1,1,-2],[5,1,4,1,5,1,4,1]],[[1,2],[3,2,2,-1,3,-2,2,-1],[4,
4]],[[1,2,2,1,1,1,2,1,1,1,2,-2],[1,2],[4,2,2,-1,4,-2,2,-1],[3,1,5,4,3,-1]],[[
1,2],[3,2,2,-1,3,-2,2,-1],[1,2,2,1,1,1,2,1,1,1,2,-2,4,1],[4,1,5,1,4,1,5,1]],[[
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-2,2,-2,1,-1],[3,2],[5,1,4,-1,5,1,4,1]],[[1,1,2,-1,1,-2,2,2,1,1],[3,-4]],[[1,
1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[4,1,3,-4,4,-1]],[[1,1,2,-1,1,-2,2,
2,1,1],[2,1,1,-2,2,-2,1,-1],[3,2,4,-1,3,-2,4,1]],[[1,1,2,-1,1,-2,2,2,1,1],[2,
1,1,-2,2,-2,1,-1],[4,1,3,2,4,-1,3,-2]]],[[[1,2],[3,2,2,1,3,1,2,1,1,-1],[1,2],[
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-1],[4,-2]],[[1,2],[3,2,2,1,3,1,2,1,1,-1],[1,2],[1,1,2,-1,5,-2,2,-1,1,-1,2,
-1],[6,1,4,-3,6,-1]]],[[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[4,1,3,1,
4,1],[3,2,5,-2]],[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[4,2,3,1,4,1,3,
-1,4,1]],[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[3,1,4,1,3,-1,4,
-1]]],[[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[3,2,4,-1,3,-2,4,1]],[[1,
1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[4,1,3,1,4,3,3,-1]],[[1,1,2,-1,1,-2,
2,2,1,1],[2,1,1,-2,2,-2,1,-1],[3,2,4,1,3,-2,4,-1]]],[[[1,1,2,-1,1,-2,2,2,1,
1],[2,1,1,-2,2,-2,1,-1],[4,1,3,1,4,1,3,2,4,2,3,1]],[[1,1,2,-1,1,-2,2,2,1,1],[
2,1,1,-2,2,-2,1,-1],[3,2,4,-1,3,-2,4,1]],[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,
-2,1,-1],[3,1,4,-1,3,-2,4,1,3,1]]],[[[1,2,2,1,1,1,2,1,1,1,2,-2],[1,2],[4,2,2,
-1,4,-2,2,-1],[3,2],[6,1,3,1,5,-1,6,1,5,1,3,1]],[[1,2],[3,2,2,-1,3,-2,2,-1],[
4,4]],[[1,2],[3,2,2,-1,3,-2,2,-1],[4,1,2,2,1,-1,2,-1,1,-1,2,-1,1,-2],[5,1,4,1,
5,1,4,1]]],[[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[3,1,4,-2,3,2,4,1,3,
1,4,1]],[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[4,1,3,2,4,-1,3,-2]],[[
1,1,2,-1,1,-2,2,2,1,1],[3,-4]]],[[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,
-1],[4,2,3,1,4,1,3,-1,4,1]],[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[3,
1,4,1,3,-1,4,-1]],[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[4,1,3,-1,4,2,
3,1,4,1]]],[[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[3,2],[4,2],[5,1,6,
2,5,-1]],[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[4,2,3,1,4,1,3,-1,4,
1]],[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[3,1,4,1,3,-1,4,-1]]],[[[1,
1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[4,2,3,1,4,1,3,-1,4,1]],[[1,1,2,-1,
1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[3,1,4,-1,3,-1,4,1]],[[1,1,2,-1,1,-2,2,2,1,
1],[2,1,1,-2,2,-2,1,-1],[4,1,3,1,4,-1,3,-1]]],[[[1,2,2,1,1,1,2,1,1,1,2,-2],[1,
2],[4,2,2,-1,4,-2,2,-1],[3,2],[3,1,5,-1,6,2,5,1,6,1]],[[1,2],[3,2,2,-1,3,-2,2,
-1],[4,4]],[[1,2,2,1,1,1,2,1,1,1,2,-2],[1,2],[4,2,2,-1,4,-2,2,-1],[3,1,5,-2,3,
-3]]],[[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[4,2,3,1,4,1,3,-1,4,
1]],[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[3,1,4,1,3,-1,4,-1]],[[1,1,
2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[4,1,3,2,4,-1,3,-2]]],[[[1,2,2,1,1,1,
2,1,1,1,2,-2],[1,2],[4,2,2,-1,4,-2,2,-1],[5,1,3,2,5,-1,3,-2]],[[1,2,2,1,1,1,2,
1,1,1,2,-2],[1,2],[4,2,2,-1,4,-2,2,-1],[3,1,5,-3,3,-1]]],[[[1,2,2,1,1,1,2,1,1,
1,2,-2],[1,2],[4,2,2,-1,4,-2,2,-1],[3,2],[6,1,5,1,6,2,5,1,3,1,5,1]],[[1,2],[3,
2,2,-1,3,-2,2,-1],[4,4]]],[[[2,1,1,1,2,-1,1,2,2,2],[1,2],[1,1,2,1,4,-2,2,-2],[
3,1,5,-1,3,-2,5,1,3,1]],[[1,2],[1,1,2,1,3,-2,2,-2],[4,3]]],[[[1,1,2,-1,1,-2,2,
2,1,1],[2,1,1,-2,2,-2,1,-1],[3,2,4,1,3,-2,4,-1]],[[1,1,2,-1,1,-2,2,2,1,1],[2,
1,1,-2,2,-2,1,-1],[3,1,4,2,3,-1,4,1]]],[[[1,2,2,1,1,1,2,1,1,1,2,-2],[1,2],[4,
2,2,-1,4,-2,2,-1],[3,2,5,-1,3,-1,5,1,3,-1,5,-1]],[[1,2,2,1,1,1,2,1,1,1,2,-2],[
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2,-2,1,-1],[3,3,4,-1,3,1,4,2]],[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[
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1]]],[[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[3,2],[5,1,4,2,3,1,4,-1,5,
1]],[[2,1,1,-2,2,-2,1,-2,2,-2,1,2,2,1,1,-1]]],[[[1,-1,2,2,1,2],[2,2,1,-1,2,-1,
1,-3,3,4]],[[1,-1,2,2,1,2],[3,2,2,2,1,-1,2,-1,1,-3]],[[2,2,1,-1,2,-1,1,-5,2,
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-2],[1,2],[4,2,2,-1,4,-2,2,-1],[3,1,5,1,3,-2,5,1]]],[[[1,1,2,-1,1,-2,2,2,1,
1],[2,1,1,-2,2,-2,1,-1],[4,1,3,2,4,1,3,1]],[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,
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4]],[[1,2],[3,2,2,1,3,1,2,1,1,-1],[4,2]],[[1,2],[3,2,2,1,3,1,2,1,1,-1],[1,2],[
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2,2,1,1,1,2,-1,1,2,2,2,4,-2]],[[2,1,1,1,2,-1,1,2,2,2],[3,-2]],[[2,1,1,1,2,-1,
1,2,2,2],[1,2],[1,1,2,1,4,-2,2,-2],[5,1,3,-2,5,-1]]],[[[1,1,2,-1,1,-2,2,2,1,
1],[2,1,1,-2,2,-2,1,-1],[3,2],[4,-1,5,1,4,1]],[[1,1,2,-1,1,-2,2,2,1,1],[3,
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1,1],[3,-4]],[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[3,2,4,-1,3,-2,4,
1]]],[[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[3,1,4,1],[5,1,4,2,5,1,3,
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2,2,1,1],[2,1,1,-2,2,-2,1,-1],[3,2],[4,-1,5,1,4,1,5,-1]],[[1,1,2,-1,1,-2,2,2,
1,1],[3,-4]]],[[[1,2,2,1,1,1,2,1,1,1,2,-2],[1,2],[4,2,2,-1,4,-2,2,-1],[3,2],[
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2,1,1],[2,1,1,-2,2,-2,1,-1],[4,2,3,1,4,1,3,-1,4,1]],[[1,1,2,-1,1,-2,2,2,1,1],[
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1],[2,1,1,-2,2,-2,1,-1],[3,2],[4,-1,5,1,4,1,5,-1]],[[2,1,1,-2,2,-2,1,-1],[3,1,
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-1],[3,1,4,-1,3,-2,4,1,3,1]],[[2,1,1,-2,2,-2,1,-1],[3,1,1,1,2,-1,1,-2,2,2,1,
1],[3,1,4,1,3,1,4,-1]],[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[4,1,3,
-1,4,3,3,1]]],[[[1,2,2,1,1,1,2,1,1,1,2,-2],[1,2],[4,2,2,-1,4,-2,2,-1],[3,2],[
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1],[2,1,1,-2,2,-2,1,-1],[3,1,4,1,3,-1,4,-1]],[[2,1,1,-2,2,-2,1,-1],[3,
-2]]],[[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[4,1,3,1,4,1,3,2,4,2,3,
1]],[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[4,1,3,1,4,2,3,-1,4,1]],[[1,
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-2,2,-1],[3,1,5,-1],[6,1,3,-2,6,-1]],[[1,2],[3,2,2,-1,3,-2,2,-1],[4,4]]],[[[1,
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2,2,1,1],[2,1,1,-2,2,-2,1,-1],[3,2],[4,-1,3,1,4,1]]],[[[1,1,2,-1,1,-2,2,2,1,
1],[2,1,1,-2,2,-2,1,-1],[3,2],[4,-1,5,-2,4,1]],[[1,1,2,-1,1,-2,2,2,1,1],[2,1,
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2,-1,4,-2,2,-1],[3,2],[6,1,5,-2,6,1,3,1]],[[1,2,2,1,1,1,2,1,1,1,2,-2],[1,2],[
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-2],[1,2],[4,2,2,-1,4,-2,2,-1],[3,2],[5,1,6,1,5,-1,6,-2]],[[1,2,2,1,1,1,2,1,1,
1,2,-2],[1,2],[4,2,2,-1,4,-2,2,-1],[3,1,5,-2,3,-2]]],[[[2,2,1,-1,2,-1,1,-3],[
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2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[3,-1,4,1,3,1,4,-1]],[[1,1,2,-1,1,-2,
2,2,1,1],[2,1,1,-2,2,-2,1,-1],[4,2,3,1,4,-1,3,-1,4,-1]]],[[[1,1,2,-1,1,-2,2,2,
1,1],[3,-4]],[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[3,1,4,1,3,-1,4,
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3,1,4,-1,3,-1]],[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[4,1,3,-1,4,-1,
3,1]],[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[4,2,3,1,4,1,3,-1,4,
1]]],[[[1,1,2,-1,1,-2,2,2,1,1],[3,3,2,1,1,-2,2,-2,1,-1,3,1]],[[1,1,2,-1,1,-2,
2,2,1,2,2,2,1,2,2,-1]]],[[[2,2,1,-1,2,-1,1,-3],[1,-1,2,2,1,2],[3,3,4,2]],[[1,
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2],[1,1,2,-1,3,-2,2,-1,1,-1,2,-1],[4,2]]],[[[2,1,1,1,2,-1,1,2,2,2],[1,2],[1,1,
2,1,4,-2,2,-2],[5,2,3,1,5,1,3,1,5,1]],[[2,1,1,1,2,-1,1,2,2,2],[3,-2]],[[2,1,1,
1,2,-1,1,2,2,2],[1,2],[1,1,2,1,4,-2,2,-2],[3,1,5,1],[6,1,3,-2,6,-1]]],[[[1,1,
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4,-1,3,1,4,-1]],[[2,1,1,-2,2,-2,1,-1],[3,1,1,1,2,-1,1,-2,2,2,1,1,3,1]],[[1,1,
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2,2,4,-2]],[[2,1,1,1,2,-1,1,2,2,2]],[[2,1,1,1,2,-1,1,2,2,2],[1,2],[1,1,2,1,4,
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1,4,-2,2,-2],[3,1,5,-1,3,-1,5,1]],[[2,1,1,1,2,-1,1,2,2,2],[3,-2]]],[[[1,1,2,
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1,1],[3,2]]],[[[1,1,2,-1,1,-2,2,2,1,1],[3,-4]],[[2,1,1,-2,2,-2,1,-1],[3,1,1,
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2,3,1,4,1,3,-1,4,1]],[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[3,1,4,-1,
3,1,4,-1]]],[[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[4,1,3,-1,4,3,3,
1]],[[1,1,2,-1,1,-2,2,2,1,1],[3,2]]],[[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,
1,-1],[4,1,3,-1,4,-1,3,-2,4,-1]],[[2,1,1,-2,2,-2,1,-1],[1,1,2,-1,1,-2,2,2,1,1,
3,3]]],[[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[4,1,3,-2,4,1,3,1,4,
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2,2],[1,2],[1,1,2,1,4,-2,2,-2],[3,-1,5,-1,3,-1,5,-2]],[[2,1,1,1,2,-1,1,2,2,
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2],[1,1,2,1,4,-2,2,-2],[5,1,3,-1,5,-1,3,1]],[[2,-2,1,-2,2,1,1,-1,2,-1]]],[[[1,
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1,3,1,4,-1]],[[1,1,2,-1,1,-2,2,2,1,1],[2,1,1,-2,2,-2,1,-1],[3,2],[4,-1,3,1,4,
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LIBTOM( "8^2:S3",
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7,8,9,11,12,13,14,15,16,17,18,19,20,22,23,24,25,26,27,28,29,30,31,34,35,36,37,
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1,3,1,1,1,1],[1,1,1,1],[1,1,1,1],[1,1,1,1],[1,1,1,1],[1,1,4,1,2,1],[1,1,1,2,
1],[1,1,1,1],[1,3,2,1,1,1,1],[1,1,2,1,1,1,1],[1,3,4,1,1],[1,3,1,3,3,3,1],[1,1,
8,1,4,1,2,1],[1,3,1,1,1,1,1,1,1],[1,3,1,1,1,1,1,1,1],[1,1,1,4,1,2,1],[1,3,4,1,
1,1,2,2,1,1,1,2,2,1],[1,3,1,1,1,1,2,1],[1,1,4,1,2,2,1,1,1,1],[1,1,2,1,1,1,1,1,
1,1],[1,1,2,1,1,1,1,1,1,1],[1,1,1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,1,3,3,3,1,
1,1,1,1,1,1,1],[1,3,8,1,1,1,4,4,1,1,1,2,2,4,4,1,1,1,2,2,1],[1,3,1,1,1,1,1,1,4,
1,2,1],[1,3,4,1,3,3,2,2,3,1,1,2,2,2,1,1,1,1],[1,3,1,1,1,1,1,1,1,2,1],[1,3,4,1,
1,1,2,2,1,1,1,1,1,2,2,2,1,1,1,2,2,1],[1,3,16,1,3,3,3,4,1,1],[1,3,1,3,3,3,3,3,
3,3,1,3,3,3,1],[1,3,8,1,3,3,4,4,3,1,1,1,1,2,2,4,4,4,1,1,1,1,1,2,2,2,4,4,1,1,1,
2,2,1],[1,3,1,3,3,3,1,1,1,1,1,1,1,4,1,2,1],[1,3,12,16,1,3,3,6,6,16,3,3,3,6,6,
6,4,1,3,3,4,3,1,1],[1,3,8,1,3,3,4,4,3,3,3,3,3,2,2,4,4,4,1,1,3,3,1,2,2,2,4,4,4,
3,1,1,2,2,2,1,1,1,1],[1,3,64,1,3,3,3,3,3,3,3,16,1,3,3,3,4,1,1],[1,3,24,64,1,3,
3,12,12,64,3,3,3,3,3,6,6,12,12,12,16,1,3,3,3,3,6,6,6,12,12,12,16,3,3,3,6,6,6,
4,1,3,3,4,3,1,1]],
[1,2,2,3,4,4,4,4,4,6,8,8,8,8,8,8,8,8,8,8,12,16,16,16,16,16,16,16,16,16,16,16,
24,32,32,32,32,32,32,48,64,64,64,96,128,192,384],
[47,45,31,10,47,45,45,39,39,10,45,45,45,45,45,42,42,39,39,39,33,47,45,45,45,
45,42,42,42,39,39,38,33,45,45,45,42,43,42,44,47,45,45,44,45,47,47],
[1,1,1,1,1,1,1,1,1,4,1,1,1,1,1,2,2,1,2,1,5,1,7,1,1,7,2,2,7,2,1,1,21,1,7,7,7,2,
2,22,1,7,7,40,12,41,46],
[( 1, 7)( 2, 8)( 3, 9)( 4,10)( 5,11)( 6,12)(13,18)(14,20)(15,19)(16,17)(21,22)
(23,24),( 2,15, 5,20,16, 7,17, 9,11, 6, 8, 4,22,23,21,13)( 3,14)(10,18)
(12,19)],
[[[[]]],[[[2,1,1,1],[1,1,2,3],[4,1,3,1,4,1,3,1]]],[[[1,1]]],[[[1,1,2,1]]],[[[
2,1,1,1],[1,1,2,3],[4,1,3,1,4,1,3,1]],[[2,1,1,1],[1,1,2,3],[3,1,4,1,3,1,4,
1]]],[[[2,4]]],[[[2,1,1,1],[1,1,2,3],[4,1,3,1,4,-1,3,-1]]],[[[2,2,1,1,2,-3,1,
1]]],[[[2,1,1,1],[1,1,2,3],[3,1,4,1,3,1,4,1]],[[2,1,1,1,2,2,1,1]]],[[[2,1,1,
1],[2,1,3,1,1,1,2,1,3,-1,2,-2]],[[1,1,2,1],[1,1,2,-2],[4,1,3,-1,4,1,3,1]]],[[[
2,1,1,1],[1,1,2,3],[3,1,4,1,3,1,4,1]],[[1,1,2,-1,1,1,2,3,1,1,2,-1]]],[[[2,1,1,
1],[2,2],[1,1,2,1,4,1],[4,1,3,1,5,1,3,-1,5,-1]]],[[[2,2]]],[[[2,2],[3,1,2,1,1,
1,3,-1,1,1,2,1,3,1]]],[[[2,2],[1,1,2,1,3,1,2,1,1,1,3,-1]]],[[[1,1,2,1],[3,1,2,
2,1,1,2,-2,3,-1]],[[2,1,1,1,2,2,1,1]]],[[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,1]],[[
1,1,2,1],[3,1,1,1,2,-2,3,1,2,2]]],[[[1,1,2,1,1,1,2,-2]]],[[[2,1,1,1],[1,1,2,
3],[4,1,3,1,4,1,3,1]],[[2,1,1,1,2,2,1,1]]],[[[2,1,1,1,2,2,1,1]],[[2,4]]],[[[1,
1,2,1],[1,1,2,-2],[4,1,3,-1,4,1,3,1]],[[2,1,1,1,2,-1,1,1,2,2]]],[[[1,1,2,4,1,
1]],[[2,4]]],[[[1,1,2,1],[3,1,2,1,3,1]],[[2,1,1,1,2,2,1,1]]],[[[2,1,1,1],[1,1,
2,3],[3,1,4,1,3,1,4,1]],[[1,1,2,-1,1,1,2,1,1,1,2,-1]]],[[[1,1,2,-1,1,1,2,3,1,
1,2,-1]],[[1,1,2,2,1,1,2,-2]]],[[[1,1,2,1],[2,1,1,1],[3,-1,2,1,4,1,3,1,4,
-1]],[[1,1,2,2,1,1,2,-2]]],[[[1,1,2,1],[3,1,2,2,1,1,2,-2,3,-1]],[[2,4]],[[1,1,
2,1],[3,-1,2,2,1,1,2,-2]]],[[[2,1,1,1],[1,1,2,3],[3,1,4,1,3,1,4,1]],[[2,1,1,1,
2,-1,1,1,2,1]]],[[[2,3,1,1,2,-2,1,1]],[[2,1,1,1,2,2,1,1]]],[[[1,1,2,1],[3,1,1,
1,2,-4,3,-1]],[[2,1,1,1,2,2,1,1]]],[[[2,1,1,1,2,2,1,1]],[[2,2]]],[[[2,1]]],[[[
2,1,1,1,2,-1,1,1,2,2]],[[2,1,1,1,2,2,1,1]]],[[[1,1,2,-1,1,1,2,1,1,1,2,-1]],[[
2,4]]],[[[1,1,2,1],[3,1,2,1,3,1]],[[2,1,1,1,2,2,1,1]],[[2,4]]],[[[2,1,1,1,2,
-1,1,1,2,1]],[[1,1,2,-4]]],[[[2,1,1,1,2,2,1,1]],[[1,1,2,2,1,1,2,-1]],[[2,
4]]],[[[1,1,2,1],[3,1,2,3,1,1,2,-1,3,-1]],[[2,2,1,1]]],[[[1,1,2,1],[3,1,1,1,2,
-4,3,-1]],[[2,2]],[[1,1,2,1],[3,-1,2,2,1,1,2,-2]]],[[[1,1,2,-1,1,1,2,1]],[[2,
1,1,1,2,-2]]],[[[1,1,2,2,1,1]],[[2,2]]],[[[1,1,2,-2,1,1,2,1]],[[2,1,1,1,2,-2,
1,1]],[[2,2]]],[[[1,1,2,2]],[[2,2,1,1]]],[[[2,2,1,1,2,-1]],[[1,1]]],[[[1,1,2,
-2,1,1]],[[2,-1]]],[[[1,1,2,-1]],[[2,2]]],[[[1,1]],[[2,1]]]]);
LIBTOM( "91:3",
[[1],[1,2],[1,3],[1,4],[1,2,3,5],[1,2,4,6],[1,3,4,7],[1,2,3,4,5,6,7,8]],
0,[[1],[1,1],[1,1],[1,1],[1,7,1,1],[1,13,1,1],[1,1,1,1],[1,91,1,1,13,7,1,1]],
[1,3,7,13,21,39,91,273],
[8,2,8,8,5,6,8,8],
[1,1,1,1,3,4,1,7],
[( 2, 9, 4)( 3,10, 5)( 6,23,13)( 7,24,14)( 8,25,15)(11,27,21)(12,39,22)
(16,34,29)(17,47,30)(18,48,31)(19,54,35)(20,55,36)(26,41,44)(28,61,45)
(32,58,37)(33,59,38)(40,71,50)(42,75,56)(43,76,57)(46,53,66)(49,63,70)
(51,81,72)(52,60,62)(64,67,79)(65,88,80)(68,87,77)(69,86,78)(73,74,84)
(82,85,89)(83,91,90),( 1,44,84,90,80,59,51,31,63,41,23,70,78,57,36,28,15,86,
74,53,34,18, 8, 3,12, 5,76,91,89,79,58,81,61,39,22,55,88,77,56,35,60,38,20,
10,45,33,17, 7, 2,50,30,65,43,25,72,62,40,21,27,14,87,83,69,48,37,19, 9,11,
4,75,85,73,49,29,64,42,24,71,54,67,46,26,13,66,82,68,47,52,32,16, 6)],
[[[[]]],[[[1,1]]],[[[1,1,2,3,1,-1,2,-1]]],[[[1,1,2,4,1,-1,2,-1]]],[[[2,3,1,
1]],[[2,1,1,-1,2,1]]],[[[1,-1,2,2]],[[2,1,1,-1]]],[[[2,5]]],[[[1,1]],[[2,
1]]]]);
LIBTOM( "31:5",
[[1],[1,2],[1,3],[1,2,3,4]],
0,[[1],[1,1],[1,1],[1,31,1,1]],
[1,5,31,155],
[4,2,4,4],
[1,1,1,3],
[( 2,27,23,14, 6)( 3,12,20,13, 7)( 4,31,24,15, 8)( 5,17,25,16, 9)
(10,26,21,22,18)(11,28,30,29,19),( 1,30,19,23,28,17, 6, 3,29,25,16, 8,27,15,
20,22,11, 2, 9,13, 5,24,31,26,14,12, 4,18, 7,21,10)],
[[[[]]],[[[1,2]]],[[[1,1,2,1,1,-1,2,-1]]],[[[1,1]],[[2,1]]]]);
LIBTOM( "3^3:L3(3)",
[[1],[1,2],[1,3],[1,4],[1,5],[1,6],[1,7],[1,8],[1,2,9],[1,2,10],[1,2,3,11],[1,
2,5,12],[1,2,6,13],[1,2,4,14],[1,2,3,15],[1,2,5,16],[1,2,4,17],[1,2,5,18],[1,
2,6,19],[1,2,4,20],[1,2,6,21],[1,2,8,22],[1,2,7,23],[1,2,9,24],[1,2,9,10,25],[
1,2,9,26],[1,3,27],[1,4,28],[1,3,5,29],[1,3,4,30],[1,3,6,31],[1,4,32],[1,4,5,
33],[1,4,6,34],[1,5,6,35],[1,3,7,36],[1,3,4,5,6,37],[1,4,5,6,38],[1,7,39],[1,
3,40],[1,3,7,41],[1,4,7,42],[1,3,43],[1,3,8,44],[1,4,8,45],[1,5,6,7,46],[1,4,
8,47],[1,2,3,9,11,48],[1,2,8,10,49],[1,2,3,10,11,15,50],[1,2,5,10,12,16,18,
51],[1,2,4,10,14,17,20,52],[1,2,6,10,13,19,21,53],[1,54],[1,2,9,10,24,25,26,
55],[1,2,4,14,32,56],[1,2,3,15,27,57],[1,2,4,20,28,58],[1,2,3,5,15,18,29,59],[
1,2,3,6,15,21,31,60],[1,2,3,4,5,6,12,13,14,15,37,61],[1,2,3,4,15,20,30,62],[1,
2,7,23,39,63],[1,2,4,7,14,23,42,64],[1,2,3,15,40,65],[1,2,3,15,43,66],[1,2,3,
7,15,23,41,67],[1,2,3,8,15,22,44,68],[1,2,4,5,6,12,19,38,69],[1,2,4,14,17,28,
70],[1,2,4,5,14,16,33,71],[1,2,4,5,6,13,16,38,72],[1,2,3,6,15,19,31,73],[1,2,
3,5,11,12,29,74],[1,2,4,5,18,20,33,75],[1,2,4,5,12,17,33,76],[1,2,5,6,13,19,
35,77],[1,2,3,4,11,14,30,78],[1,2,3,5,15,16,29,79],[1,2,3,11,15,27,80],[1,2,4,
6,20,21,34,81],[1,2,3,4,15,17,30,82],[1,2,4,6,14,19,34,83],[1,2,4,6,13,17,34,
84],[1,2,3,6,11,13,31,85],[1,2,5,6,7,12,13,23,46,86],[1,2,5,6,12,16,35,87],[1,
2,5,6,18,21,35,88],[1,2,4,17,20,32,89],[1,2,5,6,7,18,19,46,90],[1,2,3,4,5,6,
11,16,17,19,37,91],[1,2,4,5,6,18,20,21,38,92],[1,2,5,6,7,16,21,46,93],[1,2,3,
4,5,6,15,18,20,21,37,94],[1,2,4,8,17,22,45,95],[1,2,3,7,11,23,36,96],[1,2,3,9,
11,24,48,97],[1,2,5,9,16,24,98],[1,2,4,9,17,24,99],[1,2,6,9,19,24,100],[1,2,3,
9,11,26,48,101],[1,2,3,9,10,11,15,25,48,50,102],[1,2,8,9,10,22,25,49,103],[1,
3,27,104],[1,3,4,30,32,105],[1,3,6,31,106],[1,3,5,29,107],[1,3,4,5,6,27,29,30,
31,37,108],[1,3,7,36,39,109],[1,3,7,36,110],[1,3,7,36,111],[1,3,4,7,30,36,42,
112],[1,3,5,7,29,36,113],[1,3,7,27,36,41,114],[1,3,6,7,31,36,115],[1,3,4,5,6,
29,33,35,37,38,116],[1,3,4,5,6,28,30,33,34,37,38,117],[1,3,5,7,27,29,36,118],[
1,3,4,5,6,31,34,35,37,38,119],[1,3,4,6,7,30,31,36,120],[1,3,6,7,27,31,36,
121],[1,3,5,6,7,29,31,36,46,122],[1,3,4,7,27,30,36,123],[1,3,4,5,7,29,30,36,
124],[1,3,6,8,31,44,125],[1,3,6,31,43,126],[1,3,4,30,43,127],[1,3,4,8,30,44,
45,47,128],[1,3,27,43,129],[1,3,4,7,30,41,130],[1,3,27,40,131],[1,3,5,8,29,44,
132],[1,3,6,7,31,41,133],[1,3,5,29,40,134],[1,3,4,30,40,135],[1,3,8,27,44,
136],[1,3,6,31,40,137],[1,3,5,29,43,138],[1,3,5,7,29,41,139],[1,4,8,28,32,45,
140],[1,4,6,8,32,34,45,141],[1,4,5,8,32,33,45,142],[1,4,7,8,28,42,47,143],[1,
4,5,7,8,33,42,47,144],[1,4,6,7,8,34,42,47,145],[1,2,4,9,14,32,56,146],[1,2,3,
9,15,27,57,147],[1,2,7,9,23,39,63,148],[1,2,4,9,20,28,58,149],[1,2,3,10,11,15,
27,50,57,80,150],[1,2,4,10,14,17,20,28,52,58,70,151],[1,2,5,6,10,13,18,19,21,
35,53,77,88,152],[1,2,5,6,9,18,21,35,88,153],[1,2,4,10,14,17,20,32,52,56,89,
154],[1,2,5,6,10,12,16,18,21,35,51,87,88,155],[1,2,3,6,10,11,13,15,19,21,31,
50,53,60,73,85,156],[1,2,3,4,10,11,14,15,17,20,30,50,52,62,78,82,157],[1,2,4,
5,10,12,14,16,17,18,20,33,51,52,71,75,76,158],[1,2,4,5,6,10,12,13,16,18,19,20,
21,38,51,53,69,72,92,159],[1,2,3,5,10,11,12,15,16,18,29,50,51,59,74,79,160],[
1,2,5,6,7,10,12,13,16,18,19,21,23,46,51,53,86,90,93,161],[1,2,4,6,10,13,14,17,
19,20,21,34,52,53,81,83,84,162],[1,2,3,4,5,6,10,11,12,13,14,15,16,17,18,19,20,
21,37,50,51,52,53,61,91,94,163],[1,8,54,164],[1,2,5,9,10,12,16,18,24,25,26,51,
55,98,165],[1,2,6,9,10,13,19,21,24,25,26,53,55,100,166],[1,2,4,9,10,14,17,20,
24,25,26,52,55,99,167],[1,2,3,9,10,11,15,24,25,26,48,50,55,97,101,102,168],[1,
2,3,4,11,14,30,32,56,78,105,169],[1,2,3,11,15,27,57,80,104,170],[1,2,3,5,11,
12,29,74,107,171],[1,2,3,6,11,13,31,85,106,172],[1,2,3,4,5,6,15,18,20,21,27,
29,30,31,37,57,59,60,62,94,108,173],[1,2,3,4,5,6,15,18,20,21,29,33,35,37,38,
59,75,88,92,94,116,174],[1,2,3,4,15,17,20,30,32,62,82,89,105,175],[1,2,3,6,7,
11,15,21,27,31,36,60,80,121,176],[1,2,4,8,14,17,28,32,45,56,70,140,177],[1,2,
3,4,5,6,15,18,20,21,28,30,33,34,37,38,58,62,75,81,92,94,117,178],[1,2,3,4,5,6,
11,12,13,14,15,27,29,30,31,37,61,74,78,80,85,108,179],[1,2,3,4,6,7,15,19,20,
30,31,36,62,73,120,180],[1,2,3,4,5,6,12,13,14,15,19,31,34,35,37,38,61,69,73,
77,83,119,181],[1,2,3,5,7,15,16,27,29,36,57,79,118,182],[1,2,3,4,5,7,15,17,18,
29,30,36,59,82,124,183],[1,2,3,4,5,6,12,13,14,15,17,28,30,33,34,37,38,61,70,
76,82,84,117,184],[1,2,4,5,8,14,16,32,33,45,56,71,142,185],[1,2,3,4,5,6,15,18,
20,21,31,34,35,37,38,60,81,88,92,94,119,186],[1,2,3,4,5,6,12,13,14,15,16,29,
33,35,37,38,61,71,72,79,87,116,187],[1,2,3,6,7,15,19,27,31,36,57,73,121,188],[
1,2,4,6,8,14,19,32,34,45,56,83,141,189],[1,2,3,4,7,11,15,20,27,30,36,62,80,
123,190],[1,2,3,5,6,7,15,18,19,29,31,36,46,59,73,90,122,191],[1,2,3,5,15,16,
18,29,59,79,107,192],[1,2,3,6,15,19,21,31,60,73,106,193],[1,2,3,5,6,7,15,16,
21,29,31,36,46,60,79,93,122,194],[1,2,3,5,7,11,15,18,27,29,36,59,80,118,195],[
1,2,3,4,5,7,15,16,20,29,30,36,62,79,124,196],[1,2,3,4,7,15,17,27,30,36,57,82,
123,197],[1,2,3,4,6,7,15,17,21,30,31,36,60,82,120,198],[1,2,3,7,11,23,36,39,
63,96,109,199],[1,2,3,7,11,23,36,96,111,200],[1,2,3,7,11,23,36,96,110,201],[1,
2,3,5,7,15,16,23,29,41,67,79,139,202],[1,2,3,5,15,16,29,40,65,79,134,203],[1,
2,3,5,8,15,16,22,29,44,68,79,132,204],[1,2,3,7,11,15,23,27,36,41,67,80,96,114,
205],[1,2,3,5,7,11,12,23,29,36,74,96,113,206],[1,2,3,4,8,15,17,22,30,44,45,47,
68,82,95,128,207],[1,2,3,4,7,15,17,23,30,41,67,82,130,208],[1,2,3,6,7,15,19,
23,31,41,67,73,133,209],[1,2,3,6,15,19,31,43,66,73,126,210],[1,2,3,5,15,16,29,
43,66,79,138,211],[1,2,4,5,7,8,14,16,23,33,42,47,64,71,144,212],[1,2,3,4,7,11,
14,23,30,36,42,64,78,96,112,213],[1,2,4,7,8,14,17,23,28,42,47,64,70,143,214],[
1,2,3,4,15,17,30,43,66,82,127,215],[1,2,3,11,15,27,43,66,80,129,216],[1,2,3,8,
11,15,22,27,44,68,80,136,217],[1,2,3,6,15,19,31,40,65,73,137,218],[1,2,3,6,8,
15,19,22,31,44,68,73,125,219],[1,2,3,4,15,17,30,40,65,82,135,220],[1,2,3,11,
15,27,40,65,80,131,221],[1,2,4,6,7,8,14,19,23,34,42,47,64,83,145,222],[1,2,3,
6,7,11,13,23,31,36,85,96,115,223],[1,2,3,4,7,11,14,15,23,27,30,36,78,80,96,
123,224],[1,2,4,8,14,17,20,22,28,32,45,70,89,95,140,225],[1,2,4,6,8,17,20,21,
32,34,45,81,89,141,226],[1,2,3,4,5,6,11,15,16,17,19,27,29,30,31,37,73,79,80,
82,91,108,227],[1,2,3,4,5,6,11,12,16,17,19,29,33,35,37,38,69,74,76,87,91,116,
228],[1,2,4,5,8,12,17,20,22,32,33,45,76,89,95,142,229],[1,2,3,4,5,7,11,12,14,
23,29,30,36,74,78,96,124,230],[1,2,4,5,8,17,18,20,32,33,45,75,89,142,231],[1,
2,3,4,5,6,11,13,16,17,19,31,34,35,37,38,72,77,84,85,91,119,232],[1,2,4,8,17,
20,28,32,45,58,89,140,233],[1,2,3,6,7,11,13,15,23,27,31,36,80,85,96,121,234],[
1,2,3,5,7,11,12,15,23,27,29,36,74,80,96,118,235],[1,2,3,4,6,7,11,13,14,23,30,
31,36,78,85,96,120,236],[1,2,3,4,5,6,11,14,16,17,19,28,30,33,34,37,38,70,71,
78,83,91,117,237],[1,2,4,6,8,13,17,20,22,32,34,45,84,89,95,141,238],[1,2,3,5,
6,7,11,12,13,23,29,31,36,46,74,85,86,96,122,239],[1,2,3,9,15,24,27,57,147,
240],[1,2,4,9,14,24,32,56,146,241],[1,2,4,9,20,24,28,58,149,242],[1,2,4,9,10,
14,17,20,25,32,52,56,89,146,154,243],[1,2,4,9,14,26,32,56,146,244],[1,2,3,9,
15,26,27,57,147,245],[1,2,3,9,10,11,15,25,27,50,57,80,147,150,246],[1,2,4,9,
20,26,28,58,149,247],[1,2,4,9,10,14,17,20,25,28,52,58,70,149,151,248],[1,2,3,
4,5,6,9,11,16,17,19,24,37,48,91,97,98,99,100,249],[1,2,5,6,9,10,12,13,16,18,
19,21,25,35,51,53,77,87,88,152,153,155,250],[1,2,7,9,23,26,39,63,148,251],[1,
3,4,5,6,27,28,29,30,31,33,34,35,37,38,108,116,117,119,252],[1,3,4,5,6,7,27,29,
30,31,32,36,37,42,105,108,112,120,123,124,253],[1,3,4,5,6,7,27,29,30,31,36,37,
46,106,108,115,120,121,122,254],[1,3,4,5,6,7,27,29,30,31,36,37,46,107,108,113,
118,122,124,255],[1,3,4,5,6,7,27,29,30,31,36,37,41,104,108,114,118,121,123,
256],[1,3,4,5,6,8,27,29,30,31,37,44,45,47,108,125,128,132,136,257],[1,3,4,5,6,
27,29,30,31,37,43,108,126,127,129,138,258],[1,3,4,5,6,27,29,30,31,37,40,108,
131,134,135,137,259],[1,3,4,5,6,7,27,29,30,31,36,37,41,108,114,130,133,139,
260],[1,3,4,5,6,29,33,35,37,38,40,107,116,134,261],[1,3,4,5,6,31,34,35,37,38,
43,106,119,126,262],[1,3,4,5,6,8,28,30,32,33,34,37,38,44,45,47,105,117,128,
140,141,142,263],[1,3,4,5,6,7,29,33,35,36,37,38,40,113,116,134,264],[1,3,8,27,
40,43,44,104,129,131,136,265],[1,3,4,7,30,32,40,41,43,105,127,130,135,266],[1,
3,6,7,8,31,40,41,44,106,125,133,137,267],[1,3,5,7,8,29,41,43,44,107,132,138,
139,268],[1,3,4,5,6,7,8,28,30,33,34,36,37,38,42,44,45,47,112,117,128,143,144,
145,269],[1,3,4,5,6,7,27,29,30,31,36,39,41,42,46,109,110,111,112,113,114,115,
118,120,121,122,123,124,270],[1,3,4,5,6,7,31,34,35,36,37,38,43,115,119,126,
271],[1,3,5,7,8,29,36,41,43,44,113,132,138,139,272],[1,3,6,7,8,31,36,40,41,44,
115,125,133,137,273],[1,3,7,8,27,36,40,41,43,44,114,129,131,136,274],[1,3,4,7,
30,36,40,41,42,43,112,127,130,135,275],[1,2,3,10,11,15,27,50,57,80,104,150,
170,276],[1,2,3,9,11,15,27,48,57,80,104,147,170,277],[1,2,3,5,9,11,12,29,48,
74,107,171,278],[1,2,3,4,9,11,14,30,32,48,56,78,105,146,169,279],[1,2,3,6,9,
11,13,31,48,85,106,172,280],[1,2,3,5,10,11,12,15,16,18,29,50,51,59,74,79,107,
160,171,192,281],[1,2,3,7,9,11,23,36,39,48,63,96,109,148,199,282],[1,2,3,4,10,
11,14,15,17,20,30,32,50,52,56,62,78,82,89,105,154,157,169,175,283],[1,2,3,7,9,
11,23,36,48,96,111,200,284],[1,2,3,7,9,11,23,36,48,96,110,201,285],[1,2,3,6,
10,11,13,15,19,21,31,50,53,60,73,85,106,156,172,193,286],[1,2,3,4,5,6,10,11,
12,13,14,15,16,17,18,19,20,21,28,30,33,34,37,38,50,51,52,53,58,61,62,70,71,75,
76,78,81,82,83,84,91,92,94,117,151,157,158,162,163,178,184,237,287],[1,2,3,4,
5,6,10,11,12,13,14,15,16,17,18,19,20,21,29,33,35,37,38,50,51,52,53,59,61,69,
71,72,74,75,76,79,87,88,91,92,94,116,155,158,159,160,163,174,187,228,288],[1,
2,3,4,5,7,10,11,12,14,15,16,17,18,20,23,29,30,36,50,51,52,59,62,74,78,79,82,
96,124,157,160,183,196,230,289],[1,2,3,5,6,7,10,11,12,13,15,16,18,19,21,23,29,
31,36,46,50,51,53,59,60,73,74,79,85,86,90,93,96,122,156,160,161,191,194,239,
290],[1,2,3,5,7,10,11,12,15,16,18,23,27,29,36,50,51,57,59,74,79,80,96,118,150,
160,182,195,235,291],[1,2,3,4,5,6,10,11,12,13,14,15,16,17,18,19,20,21,27,29,
30,31,37,50,51,52,53,57,59,60,61,62,73,74,78,79,80,82,85,91,94,108,150,156,
157,160,163,173,179,227,292],[1,2,3,4,5,6,10,11,12,13,14,15,16,17,18,19,20,21,
31,34,35,37,38,50,51,52,53,60,61,69,72,73,77,81,83,84,85,88,91,92,94,119,152,
156,159,162,163,181,186,232,293],[1,2,4,5,8,10,12,14,16,17,18,20,22,32,33,45,
51,52,56,71,75,76,89,95,142,154,158,185,229,231,294],[1,2,3,4,6,7,10,11,13,14,
15,17,19,20,21,23,30,31,36,50,52,53,60,62,73,78,82,85,96,120,156,157,180,198,
236,295],[1,2,3,4,7,10,11,14,15,17,20,23,27,30,36,50,52,57,62,78,80,82,96,123,
150,157,190,197,224,296],[1,2,3,6,7,10,11,13,15,19,21,23,27,31,36,50,53,57,60,
73,80,85,96,121,150,156,176,188,234,297],[1,2,4,6,8,10,13,14,17,19,20,21,22,
32,34,45,52,53,56,81,83,84,89,95,141,154,162,189,226,238,298],[1,2,4,8,10,14,
17,20,22,28,32,45,52,56,58,70,89,95,140,151,154,177,225,233,299],[1,2,3,4,5,6,
9,10,11,12,13,14,15,16,17,18,19,20,21,24,25,26,37,48,50,51,52,53,55,61,91,94,
97,98,99,100,101,102,163,165,166,167,168,249,300],[1,2,4,9,10,14,17,20,24,25,
26,32,52,55,56,89,146,154,241,243,244,301],[1,2,4,9,10,14,17,20,24,25,26,28,
52,55,58,70,149,151,242,247,248,302],[1,2,3,9,10,11,15,24,25,26,27,50,55,57,
80,147,150,240,245,246,303],[1,2,3,4,5,6,15,18,20,21,27,28,29,30,31,33,34,35,
37,38,57,58,59,60,62,75,81,88,92,94,108,116,117,119,173,174,178,186,252,304],[
1,2,3,4,5,6,7,15,17,18,20,21,27,29,30,31,32,36,37,42,57,59,60,62,82,89,94,105,
108,112,120,123,124,173,175,183,197,198,253,305],[1,2,3,4,5,6,7,15,16,18,20,
21,27,29,30,31,36,37,46,57,59,60,62,79,93,94,107,108,113,118,122,124,173,182,
192,194,196,255,306],[1,2,3,4,5,6,7,11,12,13,14,15,23,27,29,30,31,36,37,41,57,
61,67,74,78,80,85,96,104,108,114,118,121,123,170,179,205,224,234,235,256,
307],[1,2,3,4,5,6,7,11,12,13,14,15,23,27,29,30,31,32,36,37,42,56,61,64,74,78,
80,85,96,105,108,112,120,123,124,169,179,213,224,230,236,253,308],[1,2,3,4,5,
6,12,13,14,15,16,18,29,33,35,37,38,40,59,61,65,71,72,79,87,107,116,134,187,
192,203,261,309],[1,2,3,4,5,6,7,11,12,13,14,15,23,27,29,30,31,36,37,46,61,74,
78,80,85,86,96,106,108,115,120,121,122,172,179,223,234,236,239,254,310],[1,2,
3,4,5,6,7,11,12,13,14,15,23,27,29,30,31,36,37,46,61,74,78,80,85,86,96,107,108,
113,118,122,124,171,179,206,230,235,239,255,311],[1,2,3,4,5,6,7,11,15,18,20,
21,27,29,30,31,36,37,41,57,59,60,62,80,94,104,108,114,118,121,123,170,173,176,
190,195,256,312],[1,2,3,4,5,6,7,15,18,19,20,21,27,29,30,31,36,37,46,57,59,60,
62,73,90,94,106,108,115,120,121,122,173,180,188,191,193,254,313],[1,2,3,4,5,6,
12,13,14,15,19,21,31,34,35,37,38,43,60,61,66,69,73,77,83,106,119,126,181,193,
210,262,314],[1,2,3,4,5,6,8,12,13,14,15,17,20,22,28,30,32,33,34,37,38,44,45,
47,61,62,68,70,76,82,84,89,95,105,117,128,140,141,142,175,184,207,225,229,238,
263,315],[1,2,3,6,7,8,15,19,21,22,23,31,40,41,44,60,65,67,68,73,106,125,133,
137,193,209,218,219,267,316],[1,2,3,4,7,15,17,20,23,30,32,40,41,43,62,65,66,
67,82,89,105,127,130,135,175,208,215,220,266,317],[1,2,3,8,11,15,22,27,40,43,
44,57,65,66,68,80,104,129,131,136,170,216,217,221,265,318],[1,2,3,5,7,8,15,16,
18,22,23,29,41,43,44,59,66,67,68,79,107,132,138,139,192,202,204,211,268,319],[
1,2,3,4,5,6,11,12,13,14,15,16,17,19,27,28,29,30,31,33,34,35,37,38,61,69,70,71,
72,73,74,76,77,78,79,80,82,83,84,85,87,91,108,116,117,119,179,181,184,187,227,
228,232,237,252,320],[1,2,3,4,5,6,7,11,15,16,17,19,20,27,29,30,31,32,36,37,42,
62,73,79,80,82,89,91,105,108,112,120,123,124,175,180,190,196,227,253,321],[1,
2,3,4,5,6,7,11,15,16,17,19,21,27,29,30,31,36,37,46,60,73,79,80,82,91,93,106,
108,115,120,121,122,176,193,194,198,227,254,322],[1,2,3,4,5,6,11,13,16,17,19,
31,34,35,37,38,43,72,77,84,85,91,106,119,126,172,232,262,323],[1,2,3,4,5,6,15,
18,19,20,21,31,34,35,37,38,43,60,73,81,88,92,94,106,119,126,186,193,262,324],[
1,2,3,4,5,6,15,16,18,20,21,29,33,35,37,38,40,59,75,79,88,92,94,107,116,134,
174,192,261,325],[1,2,3,4,5,6,8,15,17,18,20,21,28,30,32,33,34,37,38,44,45,47,
58,62,75,81,82,89,92,94,105,117,128,140,141,142,175,178,226,231,233,263,326],[
1,2,3,4,5,6,11,12,16,17,19,29,33,35,37,38,40,69,74,76,87,91,107,116,134,171,
228,261,327],[1,2,3,4,5,6,7,11,15,16,17,19,27,29,30,31,36,37,41,57,73,79,80,
82,91,104,108,114,118,121,123,170,182,188,197,227,256,328],[1,2,3,4,5,6,7,11,
15,16,17,18,19,27,29,30,31,36,37,46,59,73,79,80,82,90,91,107,108,113,118,122,
124,183,191,192,195,227,255,329],[1,2,3,4,5,6,8,11,14,16,17,19,28,30,32,33,34,
37,38,44,45,47,56,70,71,78,83,91,105,117,128,140,141,142,169,177,185,189,237,
263,330],[1,2,3,4,5,6,11,15,16,17,19,27,29,30,31,37,43,66,73,79,80,82,91,108,
126,127,129,138,210,211,215,216,227,258,331],[1,2,3,4,5,6,7,11,12,13,14,15,23,
27,29,30,31,36,39,41,42,46,63,64,67,74,78,80,85,86,96,109,110,111,112,113,114,
115,118,120,121,122,123,124,199,200,201,205,206,213,223,224,230,234,235,236,
239,270,332],[1,2,3,4,5,6,11,15,16,17,19,27,29,30,31,37,40,65,73,79,80,82,91,
108,131,134,135,137,203,218,220,221,227,259,333],[1,2,3,4,5,6,7,11,15,16,17,
19,23,27,29,30,31,36,37,41,67,73,79,80,82,91,96,108,114,130,133,139,202,205,
208,209,227,260,334],[1,2,3,4,5,6,8,11,15,16,17,19,22,27,29,30,31,37,44,45,47,
68,73,79,80,82,91,95,108,125,128,132,136,204,207,217,219,227,257,335],[1,2,3,
4,5,6,7,11,13,16,17,19,23,31,34,35,36,37,38,43,72,77,84,85,91,96,115,119,126,
223,232,271,336],[1,2,3,4,5,6,7,8,11,14,16,17,19,23,28,30,33,34,36,37,38,42,
44,45,47,64,70,71,78,83,91,96,112,117,128,143,144,145,212,213,214,222,237,269,
337],[1,2,3,4,5,6,7,11,12,16,17,19,23,29,33,35,36,37,38,40,69,74,76,87,91,96,
113,116,134,206,228,264,338],[1,2,3,4,9,11,14,24,30,32,48,56,78,97,105,146,
169,241,279,339],[1,2,3,9,11,15,24,27,48,57,80,97,104,147,170,240,277,340],[1,
2,4,6,8,9,14,19,24,32,34,45,56,83,100,141,146,189,241,341],[1,2,3,4,7,9,15,17,
24,27,30,36,57,82,99,123,147,197,240,342],[1,2,3,6,9,11,13,24,31,48,85,97,106,
172,280,343],[1,2,3,6,7,9,15,19,24,27,31,36,57,73,100,121,147,188,240,344],[1,
2,3,5,7,9,15,16,24,27,29,36,57,79,98,118,147,182,240,345],[1,2,4,5,8,9,14,16,
24,32,33,45,56,71,98,142,146,185,241,346],[1,2,3,5,9,11,12,24,29,48,74,97,107,
171,278,347],[1,2,4,8,9,14,17,24,28,32,45,56,70,99,140,146,177,241,348],[1,2,
3,6,9,11,13,26,31,48,85,101,106,172,280,349],[1,2,3,5,9,11,12,26,29,48,74,101,
107,171,278,350],[1,2,3,6,9,10,11,13,15,19,21,25,31,48,50,53,60,73,85,102,106,
156,172,193,280,286,351],[1,2,3,4,9,11,14,26,30,32,48,56,78,101,105,146,169,
244,279,352],[1,2,3,9,11,15,26,27,48,57,80,101,104,147,170,245,277,353],[1,2,
3,5,9,10,11,12,15,16,18,25,29,48,50,51,59,74,79,102,107,160,171,192,278,281,
354],[1,2,4,8,9,17,20,24,28,32,45,58,89,99,140,149,233,242,355],[1,2,3,4,9,10,
11,14,15,17,20,25,30,32,48,50,52,56,62,78,82,89,102,105,146,154,157,169,175,
243,279,283,356],[1,2,3,9,10,11,15,25,27,48,50,57,80,102,104,147,150,170,246,
276,277,357],[1,2,3,7,9,11,23,26,36,48,96,101,111,200,284,358],[1,2,3,7,9,11,
23,26,36,39,48,63,96,101,109,148,199,251,282,359],[1,2,3,7,9,11,23,26,36,48,
96,101,110,201,285,360],[1,3,4,5,6,7,27,28,29,30,31,33,34,35,36,37,38,41,104,
108,114,116,117,118,119,121,123,130,133,139,252,256,260,361],[1,3,4,5,6,7,27,
29,30,31,32,36,37,39,41,42,46,104,105,106,107,108,109,110,111,112,113,114,115,
118,120,121,122,123,124,253,254,255,256,270,362],[1,3,4,5,6,7,8,27,28,29,30,
31,32,33,34,35,36,37,38,42,44,45,47,105,108,112,116,117,119,120,123,124,125,
128,132,136,140,141,142,143,144,145,252,253,257,263,269,363],[1,3,4,5,6,7,27,
28,29,30,31,33,34,35,36,37,38,43,46,106,108,115,116,117,119,120,121,122,126,
127,129,138,252,254,258,262,271,364],[1,3,4,5,6,7,27,28,29,30,31,33,34,35,36,
37,38,40,46,107,108,113,116,117,118,119,122,124,131,134,135,137,252,255,259,
261,264,365],[1,3,4,5,6,7,8,27,29,30,31,36,37,40,41,43,44,45,47,104,108,114,
118,121,123,125,126,127,128,129,131,132,134,135,136,137,138,256,257,258,259,
265,274,366],[1,3,4,5,6,7,8,27,29,30,31,36,37,41,43,44,45,46,47,107,108,113,
114,118,122,124,125,126,127,128,129,130,132,133,136,138,139,255,257,258,260,
268,272,367],[1,3,4,5,6,7,27,29,30,31,32,36,37,40,41,42,43,105,108,112,114,
120,123,124,126,127,129,130,131,133,134,135,137,138,139,253,258,259,260,266,
275,368],[1,3,4,5,6,7,8,27,29,30,31,36,37,40,41,44,45,46,47,106,108,114,115,
120,121,122,125,128,130,131,132,133,134,135,136,137,139,254,257,259,260,267,
273,369],[1,2,3,4,5,6,9,15,18,20,21,27,28,29,30,31,33,34,35,37,38,57,58,59,60,
62,75,81,88,92,94,108,116,117,119,147,149,153,173,174,178,186,252,304,370],[1,
2,3,8,10,11,15,27,40,43,44,49,50,57,80,104,129,131,136,150,170,265,276,371],[
1,2,3,4,5,6,10,11,12,13,14,15,16,17,18,19,20,21,27,28,29,30,31,33,34,35,37,38,
50,51,52,53,57,58,59,60,61,62,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,
85,87,88,91,92,94,108,116,117,119,150,151,152,155,156,157,158,159,160,162,163,
173,174,178,179,181,184,186,187,227,228,232,237,252,287,288,292,293,304,320,
372],[1,2,3,4,5,6,10,11,12,13,14,15,16,17,18,19,20,21,29,33,35,37,38,40,50,51,
52,53,59,61,65,69,71,72,74,75,76,79,87,88,91,92,94,107,116,134,155,158,159,
160,163,171,174,187,192,203,228,261,281,288,309,325,327,373],[1,2,3,4,5,6,7,
10,11,12,13,14,15,16,17,18,19,20,21,23,27,29,30,31,36,37,46,50,51,52,53,57,59,
60,61,62,73,74,78,79,80,82,85,86,90,91,93,94,96,106,108,115,120,121,122,150,
156,157,160,161,163,172,173,176,179,180,188,191,193,194,198,223,227,234,236,
239,254,286,290,292,295,297,310,313,322,374],[1,2,3,4,5,6,10,11,12,13,14,15,
16,17,18,19,20,21,31,34,35,37,38,43,50,51,52,53,60,61,66,69,72,73,77,81,83,84,
85,88,91,92,94,106,119,126,152,156,159,162,163,172,181,186,193,210,232,262,
286,293,314,323,324,375],[1,2,3,4,5,6,8,10,11,12,13,14,15,16,17,18,19,20,21,
22,28,30,32,33,34,37,38,44,45,47,50,51,52,53,56,58,61,62,68,70,71,75,76,78,81,
82,83,84,89,91,92,94,95,105,117,128,140,141,142,151,154,157,158,162,163,169,
175,177,178,184,185,189,207,225,226,229,231,233,237,238,263,283,287,294,298,
299,315,326,330,376],[1,2,3,4,5,6,7,10,11,12,13,14,15,16,17,18,19,20,21,23,27,
29,30,31,36,37,41,50,51,52,53,57,59,60,61,62,67,73,74,78,79,80,82,85,91,94,96,
104,108,114,118,121,123,150,156,157,160,163,170,173,176,179,182,188,190,195,
197,205,224,227,234,235,256,276,291,292,296,297,307,312,328,377],[1,2,3,4,5,6,
7,10,11,12,13,14,15,16,17,18,19,20,21,23,27,29,30,31,36,37,46,50,51,52,53,57,
59,60,61,62,73,74,78,79,80,82,85,86,90,91,93,94,96,107,108,113,118,122,124,
150,156,157,160,161,163,171,173,179,182,183,191,192,194,195,196,206,227,230,
235,239,255,281,289,290,291,292,306,311,329,378],[1,2,3,4,5,6,7,10,11,12,13,
14,15,16,17,18,19,20,21,23,27,29,30,31,32,36,37,42,50,51,52,53,56,57,59,60,61,
62,64,73,74,78,79,80,82,85,89,91,94,96,105,108,112,120,123,124,150,154,156,
157,160,163,169,173,175,179,180,183,190,196,197,198,213,224,227,230,236,253,
283,289,292,295,296,305,308,321,379],[1,3,27,54,104,380],[1,2,4,6,8,9,10,13,
14,17,19,20,21,22,24,25,26,32,34,45,52,53,55,56,81,83,84,89,95,100,141,146,
154,162,166,189,226,238,241,243,244,298,301,341,381],[1,2,3,9,10,11,15,24,25,
26,27,48,50,55,57,80,97,101,102,104,147,150,168,170,240,245,246,276,277,303,
340,353,357,382],[1,2,3,4,9,10,11,14,15,17,20,24,25,26,30,32,48,50,52,55,56,
62,78,82,89,97,101,102,105,146,154,157,168,169,175,241,243,244,279,283,301,
339,352,356,383],[1,2,4,8,9,10,14,17,20,22,24,25,26,28,32,45,52,55,56,58,70,
89,95,99,140,146,151,154,167,177,225,233,241,243,244,299,301,348,384],[1,2,3,
6,9,10,11,13,15,19,21,24,25,26,31,48,50,53,55,60,73,85,97,101,102,106,156,168,
172,193,280,286,343,349,351,385],[1,2,3,6,7,9,10,11,13,15,19,21,23,24,25,26,
27,31,36,50,53,55,57,60,73,80,85,96,100,121,147,150,156,166,176,188,234,240,
245,246,297,303,344,386],[1,2,3,5,9,10,11,12,15,16,18,24,25,26,29,48,50,51,55,
59,74,79,97,101,102,107,160,168,171,192,278,281,347,350,354,387],[1,2,4,5,8,9,
10,12,14,16,17,18,20,22,24,25,26,32,33,45,51,52,55,56,71,75,76,89,95,98,142,
146,154,158,165,185,229,231,241,243,244,294,301,346,388],[1,2,4,8,9,10,14,17,
20,22,24,25,26,28,32,45,52,55,56,58,70,89,95,99,140,149,151,154,167,177,225,
233,242,247,248,299,302,355,389],[1,2,3,4,7,9,10,11,14,15,17,20,23,24,25,26,
27,30,36,50,52,55,57,62,78,80,82,96,99,123,147,150,157,167,190,197,224,240,
245,246,296,303,342,390],[1,2,3,5,7,9,10,11,12,15,16,18,23,24,25,26,27,29,36,
50,51,55,57,59,74,79,80,96,98,118,147,150,160,165,182,195,235,240,245,246,291,
303,345,391],[1,2,3,4,5,6,7,11,15,18,20,21,27,28,29,30,31,33,34,35,36,37,38,
41,57,58,59,60,62,75,80,81,88,92,94,104,108,114,116,117,118,119,121,123,130,
133,139,170,173,174,176,178,186,190,195,252,256,260,304,312,361,392],[1,2,3,4,
5,6,7,11,12,13,14,15,23,27,29,30,31,32,36,37,39,41,42,46,56,57,61,63,64,67,74,
78,80,85,86,96,104,105,106,107,108,109,110,111,112,113,114,115,118,120,121,
122,123,124,169,170,171,172,179,199,200,201,205,206,213,223,224,230,234,235,
236,239,253,254,255,256,270,307,308,310,311,332,362,393],[1,2,3,4,5,6,7,8,15,
17,18,20,21,27,28,29,30,31,32,33,34,35,36,37,38,42,44,45,47,57,58,59,60,62,75,
81,82,88,89,92,94,105,108,112,116,117,119,120,123,124,125,128,132,136,140,141,
142,143,144,145,173,174,175,178,183,186,197,198,226,231,233,252,253,257,263,
269,304,305,326,363,394],[1,2,3,4,5,6,7,15,16,18,20,21,27,28,29,30,31,33,34,
35,36,37,38,40,46,57,58,59,60,62,75,79,81,88,92,93,94,107,108,113,116,117,118,
119,122,124,131,134,135,137,173,174,178,182,186,192,194,196,252,255,259,261,
264,304,306,325,365,395],[1,2,3,4,5,6,7,15,18,19,20,21,27,28,29,30,31,33,34,
35,36,37,38,43,46,57,58,59,60,62,73,75,81,88,90,92,94,106,108,115,116,117,119,
120,121,122,126,127,129,138,173,174,178,180,186,188,191,193,252,254,258,262,
271,304,313,324,364,396],[1,2,3,4,5,6,7,11,12,13,14,15,16,17,19,23,27,28,29,
30,31,33,34,35,36,37,38,41,57,61,67,69,70,71,72,73,74,76,77,78,79,80,82,83,84,
85,87,91,96,104,108,114,116,117,118,119,121,123,130,133,139,170,179,181,182,
184,187,188,197,202,205,208,209,224,227,228,232,234,235,237,252,256,260,307,
320,328,334,361,397],[1,2,3,4,5,6,7,8,11,12,13,14,15,16,17,19,20,22,27,28,29,
30,31,32,33,34,35,36,37,38,42,44,45,47,61,62,68,69,70,71,72,73,74,76,77,78,79,
80,82,83,84,85,87,89,91,95,105,108,112,116,117,119,120,123,124,125,128,132,
136,140,141,142,143,144,145,175,179,180,181,184,187,190,196,204,207,217,219,
225,227,228,229,232,237,238,252,253,257,263,269,315,320,321,335,363,398],[1,2,
3,4,5,6,7,11,15,16,17,18,19,20,21,27,29,30,31,32,36,37,39,41,42,46,57,59,60,
62,73,79,80,82,89,90,91,93,94,104,105,106,107,108,109,110,111,112,113,114,115,
118,120,121,122,123,124,170,173,175,176,180,182,183,188,190,191,192,193,194,
195,196,197,198,227,253,254,255,256,270,305,306,312,313,321,322,328,329,362,
399],[1,2,3,4,5,6,7,11,12,13,14,15,16,17,19,23,27,28,29,30,31,33,34,35,36,37,
38,43,46,61,69,70,71,72,73,74,76,77,78,79,80,82,83,84,85,86,87,91,96,106,108,
115,116,117,119,120,121,122,126,127,129,138,172,179,181,184,187,223,227,228,
232,234,236,237,239,252,254,258,262,271,310,320,323,336,364,400],[1,2,3,4,5,6,
7,11,12,13,14,15,16,17,19,21,27,28,29,30,31,33,34,35,36,37,38,43,46,60,61,66,
69,70,71,72,73,74,76,77,78,79,80,82,83,84,85,87,91,93,106,108,115,116,117,119,
120,121,122,126,127,129,138,176,179,181,184,187,193,194,198,210,211,215,216,
227,228,232,237,252,254,258,262,271,314,320,322,331,364,401],[1,2,3,4,5,6,7,8,
11,12,13,14,15,16,17,19,23,27,28,29,30,31,32,33,34,35,36,37,38,42,44,45,47,56,
61,64,69,70,71,72,73,74,76,77,78,79,80,82,83,84,85,87,91,96,105,108,112,116,
117,119,120,123,124,125,128,132,136,140,141,142,143,144,145,169,177,179,181,
184,185,187,189,212,213,214,222,224,227,228,230,232,236,237,252,253,257,263,
269,308,320,330,337,363,402],[1,2,3,4,5,6,7,11,12,13,14,15,16,17,19,23,27,28,
29,30,31,33,34,35,36,37,38,40,46,61,69,70,71,72,73,74,76,77,78,79,80,82,83,84,
85,86,87,91,96,107,108,113,116,117,118,119,122,124,131,134,135,137,171,179,
181,184,187,206,227,228,230,232,235,237,239,252,255,259,261,264,311,320,327,
338,365,403],[1,2,3,4,5,6,7,11,12,13,14,15,16,17,18,19,27,28,29,30,31,33,34,
35,36,37,38,40,46,59,61,65,69,70,71,72,73,74,76,77,78,79,80,82,83,84,85,87,90,
91,107,108,113,116,117,118,119,122,124,131,134,135,137,179,181,183,184,187,
191,192,195,203,218,220,221,227,228,232,237,252,255,259,261,264,309,320,329,
333,365,404],[1,2,3,4,5,6,7,8,11,15,16,17,18,19,22,23,27,29,30,31,36,37,41,43,
44,45,46,47,59,66,67,68,73,79,80,82,90,91,95,96,107,108,113,114,118,122,124,
125,126,127,128,129,130,132,133,136,138,139,183,191,192,195,202,204,205,207,
208,209,210,211,215,216,217,219,227,255,257,258,260,268,272,319,329,331,334,
335,367,405],[1,2,3,4,5,6,7,8,11,15,16,17,19,22,27,29,30,31,36,37,40,41,43,44,
45,47,57,65,66,68,73,79,80,82,91,95,104,108,114,118,121,123,125,126,127,128,
129,131,132,134,135,136,137,138,170,182,188,197,203,204,207,210,211,215,216,
217,218,219,220,221,227,256,257,258,259,265,274,318,328,331,333,335,366,406],[
1,2,3,4,5,6,7,8,11,15,16,17,19,21,22,23,27,29,30,31,36,37,40,41,44,45,46,47,
60,65,67,68,73,79,80,82,91,93,95,96,106,108,114,115,120,121,122,125,128,130,
131,132,133,134,135,136,137,139,176,193,194,198,202,203,204,205,207,208,209,
217,218,219,220,221,227,254,257,259,260,267,273,316,322,333,334,335,369,407],[
1,2,3,4,5,6,7,11,15,16,17,19,20,23,27,29,30,31,32,36,37,40,41,42,43,62,65,66,
67,73,79,80,82,89,91,96,105,108,112,114,120,123,124,126,127,129,130,131,133,
134,135,137,138,139,175,180,190,196,202,203,205,208,209,210,211,215,216,218,
220,221,227,253,258,259,260,266,275,317,321,331,333,334,368,408],[1,2,3,4,5,6,
9,15,18,20,21,24,27,28,29,30,31,33,34,35,37,38,57,58,59,60,62,75,81,88,92,94,
108,116,117,119,147,149,153,173,174,178,186,240,242,252,304,370,409],[1,2,3,4,
5,6,7,9,11,15,16,17,19,24,27,29,30,31,36,37,41,48,57,73,79,80,82,91,97,98,99,
100,104,108,114,118,121,123,147,170,182,188,197,227,240,249,256,277,328,340,
342,344,345,410],[1,2,3,4,5,6,9,11,12,16,17,19,24,29,33,35,37,38,40,48,69,74,
76,87,91,97,98,99,100,107,116,134,171,228,249,261,278,327,347,411],[1,2,3,4,5,
6,9,15,18,20,21,26,27,28,29,30,31,33,34,35,37,38,57,58,59,60,62,75,81,88,92,
94,108,116,117,119,147,149,153,173,174,178,186,245,247,252,304,370,412],[1,2,
3,4,5,6,8,9,11,14,16,17,19,24,28,30,32,33,34,37,38,44,45,47,48,56,70,71,78,83,
91,97,98,99,100,105,117,128,140,141,142,146,169,177,185,189,237,241,249,263,
279,330,339,341,346,348,413],[1,2,3,4,5,6,9,11,13,16,17,19,24,31,34,35,37,38,
43,48,72,77,84,85,91,97,98,99,100,106,119,126,172,232,249,262,280,323,343,
414],[1,2,3,4,5,6,9,10,11,12,13,14,15,16,17,18,19,20,21,25,27,28,29,30,31,33,
34,35,37,38,50,51,52,53,57,58,59,60,61,62,69,70,71,72,73,74,75,76,77,78,79,80,
81,82,83,84,85,87,88,91,92,94,108,116,117,119,147,149,150,151,152,153,155,156,
157,158,159,160,162,163,173,174,178,179,181,184,186,187,227,228,232,237,246,
248,250,252,287,288,292,293,304,320,370,372,415],[1,2,3,8,9,10,11,15,22,25,27,
40,43,44,48,49,50,57,65,66,68,80,102,103,104,129,131,136,147,150,170,216,217,
221,246,265,276,277,318,357,371,416],[1,3,4,5,6,7,8,27,28,29,30,31,32,33,34,
35,36,37,38,39,40,41,42,43,44,45,46,47,104,105,106,107,108,109,110,111,112,
113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,
132,133,134,135,136,137,138,139,140,141,142,143,144,145,252,253,254,255,256,
257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,
361,362,363,364,365,366,367,368,369,417],[1,2,3,4,5,6,7,9,11,12,13,14,15,23,
27,29,30,31,32,36,37,39,41,42,46,48,56,57,61,63,64,67,74,78,80,85,86,96,104,
105,106,107,108,109,110,111,112,113,114,115,118,120,121,122,123,124,146,147,
148,169,170,171,172,179,199,200,201,205,206,213,223,224,230,234,235,236,239,
253,254,255,256,270,277,278,279,280,282,284,285,307,308,310,311,332,362,393,
418],[1,2,3,4,5,6,7,9,11,15,18,20,21,27,28,29,30,31,33,34,35,36,37,38,41,48,
57,58,59,60,62,75,80,81,88,92,94,104,108,114,116,117,118,119,121,123,130,133,
139,147,149,153,170,173,174,176,178,186,190,195,252,256,260,277,304,312,361,
370,392,419],[1,2,3,4,5,6,7,10,11,12,13,14,15,16,17,18,19,20,21,23,27,28,29,
30,31,33,34,35,36,37,38,41,50,51,52,53,57,58,59,60,61,62,67,69,70,71,72,73,74,
75,76,77,78,79,80,81,82,83,84,85,87,88,91,92,94,96,104,108,114,116,117,118,
119,121,123,130,133,139,150,151,152,155,156,157,158,159,160,162,163,170,173,
174,176,178,179,181,182,184,186,187,188,190,195,197,202,205,208,209,224,227,
228,232,234,235,237,252,256,260,276,287,288,291,292,293,296,297,304,307,312,
320,328,334,361,372,377,392,397,420],[1,2,3,4,5,6,7,10,11,12,13,14,15,16,17,
18,19,20,21,23,27,29,30,31,32,36,37,39,41,42,46,50,51,52,53,56,57,59,60,61,62,
63,64,67,73,74,78,79,80,82,85,86,89,90,91,93,94,96,104,105,106,107,108,109,
110,111,112,113,114,115,118,120,121,122,123,124,150,154,156,157,160,161,163,
169,170,171,172,173,175,176,179,180,182,183,188,190,191,192,193,194,195,196,
197,198,199,200,201,205,206,213,223,224,227,230,234,235,236,239,253,254,255,
256,270,276,281,283,286,289,290,291,292,295,296,297,305,306,307,308,310,311,
312,313,321,322,328,329,332,362,374,377,378,379,393,399,421],[1,2,3,4,5,6,7,
10,11,12,13,14,15,16,17,18,19,20,21,23,27,28,29,30,31,33,34,35,36,37,38,43,46,
50,51,52,53,57,58,59,60,61,62,66,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,
84,85,86,87,88,90,91,92,93,94,96,106,108,115,116,117,119,120,121,122,126,127,
129,138,150,151,152,155,156,157,158,159,160,161,162,163,172,173,174,176,178,
179,180,181,184,186,187,188,191,193,194,198,210,211,215,216,223,227,228,232,
234,236,237,239,252,254,258,262,271,286,287,288,290,292,293,295,297,304,310,
313,314,320,322,323,324,331,336,364,372,374,375,396,400,401,422],[1,2,3,4,5,6,
7,8,10,11,12,13,14,15,16,17,18,19,20,21,22,23,27,28,29,30,31,32,33,34,35,36,
37,38,42,44,45,47,50,51,52,53,56,57,58,59,60,61,62,64,68,69,70,71,72,73,74,75,
76,77,78,79,80,81,82,83,84,85,87,88,89,91,92,94,95,96,105,108,112,116,117,119,
120,123,124,125,128,132,136,140,141,142,143,144,145,150,151,152,154,155,156,
157,158,159,160,162,163,169,173,174,175,177,178,179,180,181,183,184,185,186,
187,189,190,196,197,198,204,207,212,213,214,217,219,222,224,225,226,227,228,
229,230,231,232,233,236,237,238,252,253,257,263,269,283,287,288,289,292,293,
294,295,296,298,299,304,305,308,315,320,321,326,330,335,337,363,372,376,379,
394,398,402,423],[1,2,3,4,5,6,7,10,11,12,13,14,15,16,17,18,19,20,21,23,27,28,
29,30,31,33,34,35,36,37,38,40,46,50,51,52,53,57,58,59,60,61,62,65,69,70,71,72,
73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,90,91,92,93,94,96,107,108,113,
116,117,118,119,122,124,131,134,135,137,150,151,152,155,156,157,158,159,160,
161,162,163,171,173,174,178,179,181,182,183,184,186,187,191,192,194,195,196,
203,206,218,220,221,227,228,230,232,235,237,239,252,255,259,261,264,281,287,
288,289,290,291,292,293,304,306,309,311,320,325,327,329,333,338,365,372,373,
378,395,403,404,424],[1,3,8,27,40,43,44,54,104,129,131,136,164,265,380,425],[
1,2,3,4,5,6,9,10,11,12,13,14,15,16,17,18,19,20,21,24,25,26,27,28,29,30,31,33,
34,35,37,38,50,51,52,53,55,57,58,59,60,61,62,69,70,71,72,73,74,75,76,77,78,79,
80,81,82,83,84,85,87,88,91,92,94,108,116,117,119,147,149,150,151,152,153,155,
156,157,158,159,160,162,163,173,174,178,179,181,184,186,187,227,228,232,237,
240,242,245,246,247,248,250,252,287,288,292,293,302,303,304,320,370,372,409,
412,415,426],[1,2,3,4,5,6,7,9,10,11,12,13,14,15,16,17,18,19,20,21,23,24,25,26,
27,29,30,31,36,37,41,48,50,51,52,53,55,57,59,60,61,62,67,73,74,78,79,80,82,85,
91,94,96,97,98,99,100,101,102,104,108,114,118,121,123,147,150,156,157,160,163,
165,166,167,168,170,173,176,179,182,188,190,195,197,205,224,227,234,235,240,
245,246,249,256,276,277,291,292,296,297,300,303,307,312,328,340,342,344,345,
353,357,377,382,386,390,391,410,427],[1,2,3,4,5,6,9,10,11,12,13,14,15,16,17,
18,19,20,21,24,25,26,31,34,35,37,38,43,48,50,51,52,53,55,60,61,66,69,72,73,77,
81,83,84,85,88,91,92,94,97,98,99,100,101,102,106,119,126,152,156,159,162,163,
165,166,167,168,172,181,186,193,210,232,249,262,280,286,293,300,314,323,324,
343,349,351,375,385,414,428],[1,2,3,4,5,6,9,10,11,12,13,14,15,16,17,18,19,20,
21,24,25,26,29,33,35,37,38,40,48,50,51,52,53,55,59,61,65,69,71,72,74,75,76,79,
87,88,91,92,94,97,98,99,100,101,102,107,116,134,155,158,159,160,163,165,166,
167,168,171,174,187,192,203,228,249,261,278,281,288,300,309,325,327,347,350,
354,373,387,411,429],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,
24,25,26,28,30,32,33,34,37,38,44,45,47,48,50,51,52,53,55,56,58,61,62,68,70,71,
75,76,78,81,82,83,84,89,91,92,94,95,97,98,99,100,101,102,105,117,128,140,141,
142,146,151,154,157,158,162,163,165,166,167,168,169,175,177,178,184,185,189,
207,225,226,229,231,233,237,238,241,243,244,249,263,279,283,287,294,298,299,
300,301,315,326,330,339,341,346,348,352,356,376,381,383,384,388,413,430],[1,2,
3,4,5,6,7,8,11,12,13,14,15,16,17,19,23,27,28,29,30,31,32,33,34,35,36,37,38,39,
40,41,42,43,44,45,46,47,56,57,61,63,64,67,69,70,71,72,73,74,76,77,78,79,80,82,
83,84,85,86,87,91,96,104,105,106,107,108,109,110,111,112,113,114,115,116,117,
118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,
137,138,139,140,141,142,143,144,145,169,170,171,172,177,179,181,182,184,185,
187,188,189,197,199,200,201,202,205,206,208,209,212,213,214,222,223,224,227,
228,230,232,234,235,236,237,239,252,253,254,255,256,257,258,259,260,261,262,
263,264,265,266,267,268,269,270,271,272,273,274,275,307,308,310,311,320,323,
327,328,330,332,334,336,337,338,361,362,363,364,365,366,367,368,369,393,397,
400,402,403,417,431],[1,2,3,4,5,6,7,8,11,12,13,14,15,16,17,18,19,20,21,22,23,
27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,57,59,60,61,62,
65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,82,83,84,85,87,89,90,91,93,94,95,
96,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,
122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,
141,142,143,144,145,170,173,175,176,179,180,181,182,183,184,187,188,190,191,
192,193,194,195,196,197,198,202,203,204,205,207,208,209,210,211,215,216,217,
218,219,220,221,224,225,227,228,229,232,234,235,237,238,252,253,254,255,256,
257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,
305,306,307,309,312,313,314,315,316,317,318,319,320,321,322,328,329,331,333,
334,335,361,362,363,364,365,366,367,368,369,397,398,399,401,404,405,406,407,
408,417,432],[1,2,3,4,5,6,7,8,11,15,16,17,18,19,20,21,27,28,29,30,31,32,33,34,
35,36,37,38,39,40,41,42,43,44,45,46,47,57,58,59,60,62,73,75,79,80,81,82,88,89,
90,91,92,93,94,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,
119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,
138,139,140,141,142,143,144,145,170,173,174,175,176,178,180,182,183,186,188,
190,191,192,193,194,195,196,197,198,226,227,231,233,252,253,254,255,256,257,
258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,304,
305,306,312,313,321,322,324,325,326,328,329,361,362,363,364,365,366,367,368,
369,392,394,395,396,399,417,433],[1,2,3,4,5,6,7,9,11,15,18,20,21,24,27,28,29,
30,31,33,34,35,36,37,38,41,48,57,58,59,60,62,75,80,81,88,92,94,97,104,108,114,
116,117,118,119,121,123,130,133,139,147,149,153,170,173,174,176,178,186,190,
195,240,242,252,256,260,277,304,312,340,361,370,392,409,419,434],[1,2,3,4,5,6,
7,9,15,16,18,20,21,24,27,28,29,30,31,33,34,35,36,37,38,40,46,57,58,59,60,62,
75,79,81,88,92,93,94,98,107,108,113,116,117,118,119,122,124,131,134,135,137,
147,149,153,173,174,178,182,186,192,194,196,240,242,252,255,259,261,264,304,
306,325,345,365,370,395,409,435],[1,2,3,4,5,6,7,9,11,12,13,14,15,23,24,27,29,
30,31,32,36,37,39,41,42,46,48,56,57,61,63,64,67,74,78,80,85,86,96,97,104,105,
106,107,108,109,110,111,112,113,114,115,118,120,121,122,123,124,146,147,148,
169,170,171,172,179,199,200,201,205,206,213,223,224,230,234,235,236,239,240,
241,253,254,255,256,270,277,278,279,280,282,284,285,307,308,310,311,332,339,
340,343,347,362,393,418,436],[1,2,3,4,5,6,7,8,9,15,17,18,20,21,24,27,28,29,30,
31,32,33,34,35,36,37,38,42,44,45,47,57,58,59,60,62,75,81,82,88,89,92,94,99,
105,108,112,116,117,119,120,123,124,125,128,132,136,140,141,142,143,144,145,
147,149,153,173,174,175,178,183,186,197,198,226,231,233,240,242,252,253,257,
263,269,304,305,326,342,355,363,370,394,409,437],[1,2,3,4,5,6,7,9,15,18,19,20,
21,24,27,28,29,30,31,33,34,35,36,37,38,43,46,57,58,59,60,62,73,75,81,88,90,92,
94,100,106,108,115,116,117,119,120,121,122,126,127,129,138,147,149,153,173,
174,178,180,186,188,191,193,240,242,252,254,258,262,271,304,313,324,344,364,
370,396,409,438],[1,2,3,4,5,6,7,9,10,11,12,13,14,15,16,17,18,19,20,21,23,25,
27,29,30,31,32,36,37,39,41,42,46,48,50,51,52,53,56,57,59,60,61,62,63,64,67,73,
74,78,79,80,82,85,86,89,90,91,93,94,96,102,104,105,106,107,108,109,110,111,
112,113,114,115,118,120,121,122,123,124,146,147,148,150,154,156,157,160,161,
163,169,170,171,172,173,175,176,179,180,182,183,188,190,191,192,193,194,195,
196,197,198,199,200,201,205,206,213,223,224,227,230,234,235,236,239,243,246,
253,254,255,256,270,276,277,278,279,280,281,282,283,284,285,286,289,290,291,
292,295,296,297,305,306,307,308,310,311,312,313,321,322,328,329,332,351,354,
356,357,362,374,377,378,379,393,399,418,421,439],[1,2,3,4,5,6,7,9,11,15,18,20,
21,26,27,28,29,30,31,33,34,35,36,37,38,41,48,57,58,59,60,62,75,80,81,88,92,94,
101,104,108,114,116,117,118,119,121,123,130,133,139,147,149,153,170,173,174,
176,178,186,190,195,245,247,252,256,260,277,304,312,353,361,370,392,412,419,
440],[1,2,3,4,5,6,7,9,11,12,13,14,15,23,26,27,29,30,31,32,36,37,39,41,42,46,
48,56,57,61,63,64,67,74,78,80,85,86,96,101,104,105,106,107,108,109,110,111,
112,113,114,115,118,120,121,122,123,124,146,147,148,169,170,171,172,179,199,
200,201,205,206,213,223,224,230,234,235,236,239,244,245,251,253,254,255,256,
270,277,278,279,280,282,284,285,307,308,310,311,332,349,350,352,353,358,359,
360,362,393,418,441],[1,2,3,4,5,6,7,9,10,11,12,13,14,15,16,17,18,19,20,21,23,
25,27,28,29,30,31,33,34,35,36,37,38,41,48,50,51,52,53,57,58,59,60,61,62,67,69,
70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,87,88,91,92,94,96,102,104,108,
114,116,117,118,119,121,123,130,133,139,147,149,150,151,152,153,155,156,157,
158,159,160,162,163,170,173,174,176,178,179,181,182,184,186,187,188,190,195,
197,202,205,208,209,224,227,228,232,234,235,237,246,248,250,252,256,260,276,
277,287,288,291,292,293,296,297,304,307,312,320,328,334,357,361,370,372,377,
392,397,415,419,420,442],[1,2,3,4,5,6,7,8,10,11,12,13,14,15,16,17,18,19,20,21,
22,23,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,50,51,52,
53,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,
81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,104,105,106,107,108,109,110,
111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,
130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,150,151,152,
154,155,156,157,158,159,160,161,162,163,169,170,171,172,173,174,175,176,177,
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,
235,236,237,238,239,252,253,254,255,256,257,258,259,260,261,262,263,264,265,
266,267,268,269,270,271,272,273,274,275,276,281,283,286,287,288,289,290,291,
292,293,294,295,296,297,298,299,304,305,306,307,308,309,310,311,312,313,314,
315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,
334,335,336,337,338,361,362,363,364,365,366,367,368,369,372,373,374,375,376,
377,378,379,392,393,394,395,396,397,398,399,400,401,402,403,404,405,406,407,
408,417,420,421,422,423,424,431,432,433,443],[1,2,3,4,5,6,7,9,10,11,12,13,14,
15,16,17,18,19,20,21,23,24,25,26,27,29,30,31,32,36,37,39,41,42,46,48,50,51,52,
53,55,56,57,59,60,61,62,63,64,67,73,74,78,79,80,82,85,86,89,90,91,93,94,96,97,
101,102,104,105,106,107,108,109,110,111,112,113,114,115,118,120,121,122,123,
124,146,147,148,150,154,156,157,160,161,163,168,169,170,171,172,173,175,176,
179,180,182,183,188,190,191,192,193,194,195,196,197,198,199,200,201,205,206,
213,223,224,227,230,234,235,236,239,240,241,243,244,245,246,251,253,254,255,
256,270,276,277,278,279,280,281,282,283,284,285,286,289,290,291,292,295,296,
297,301,303,305,306,307,308,310,311,312,313,321,322,328,329,332,339,340,343,
347,349,350,351,352,353,354,356,357,358,359,360,362,374,377,378,379,382,383,
385,387,393,399,418,421,436,439,441,444],[1,2,3,4,5,6,7,9,10,11,12,13,14,15,
16,17,18,19,20,21,23,24,25,26,27,28,29,30,31,33,34,35,36,37,38,43,46,50,51,52,
53,55,57,58,59,60,61,62,66,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,
86,87,88,90,91,92,93,94,96,100,106,108,115,116,117,119,120,121,122,126,127,
129,138,147,149,150,151,152,153,155,156,157,158,159,160,161,162,163,166,172,
173,174,176,178,179,180,181,184,186,187,188,191,193,194,198,210,211,215,216,
223,227,228,232,234,236,237,239,240,242,245,246,247,248,250,252,254,258,262,
271,286,287,288,290,292,293,295,297,302,303,304,310,313,314,320,322,323,324,
331,336,344,364,370,372,374,375,386,396,400,401,409,412,415,422,426,438,445],[
1,2,3,4,5,6,7,9,10,11,12,13,14,15,16,17,18,19,20,21,23,24,25,26,27,28,29,30,
31,33,34,35,36,37,38,41,48,50,51,52,53,55,57,58,59,60,61,62,67,69,70,71,72,73,
74,75,76,77,78,79,80,81,82,83,84,85,87,88,91,92,94,96,97,101,102,104,108,114,
116,117,118,119,121,123,130,133,139,147,149,150,151,152,153,155,156,157,158,
159,160,162,163,168,170,173,174,176,178,179,181,182,184,186,187,188,190,195,
197,202,205,208,209,224,227,228,232,234,235,237,240,242,245,246,247,248,250,
252,256,260,276,277,287,288,291,292,293,296,297,302,303,304,307,312,320,328,
334,340,353,357,361,370,372,377,382,392,397,409,412,415,419,420,426,434,440,
442,446],[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,
26,27,28,29,30,31,32,33,34,35,36,37,38,42,44,45,47,50,51,52,53,55,56,57,58,59,
60,61,62,64,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,87,88,89,91,
92,94,95,96,99,105,108,112,116,117,119,120,123,124,125,128,132,136,140,141,
142,143,144,145,147,149,150,151,152,153,154,155,156,157,158,159,160,162,163,
167,169,173,174,175,177,178,179,180,181,183,184,185,186,187,189,190,196,197,
198,204,207,212,213,214,217,219,222,224,225,226,227,228,229,230,231,232,233,
236,237,238,240,242,245,246,247,248,250,252,253,257,263,269,283,287,288,289,
292,293,294,295,296,298,299,302,303,304,305,308,315,320,321,326,330,335,337,
342,355,363,370,372,376,379,389,390,394,398,402,409,412,415,423,426,437,447],[
1,2,3,4,5,6,7,9,10,11,12,13,14,15,16,17,18,19,20,21,23,24,25,26,27,28,29,30,
31,33,34,35,36,37,38,40,46,50,51,52,53,55,57,58,59,60,61,62,65,69,70,71,72,73,
74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,90,91,92,93,94,96,98,107,108,113,
116,117,118,119,122,124,131,134,135,137,147,149,150,151,152,153,155,156,157,
158,159,160,161,162,163,165,171,173,174,178,179,181,182,183,184,186,187,191,
192,194,195,196,203,206,218,220,221,227,228,230,232,235,237,239,240,242,245,
246,247,248,250,252,255,259,261,264,281,287,288,289,290,291,292,293,302,303,
304,306,309,311,320,325,327,329,333,338,345,365,370,372,373,378,391,395,403,
404,409,412,415,424,426,435,448],[1,2,4,8,9,10,14,17,20,22,24,25,26,28,32,45,
49,52,54,55,56,58,70,89,95,99,103,140,146,149,151,154,164,167,177,225,233,241,
242,243,244,247,248,299,301,302,348,355,384,389,449],[1,2,3,4,5,6,7,8,9,11,15,
16,17,18,19,20,21,24,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,
46,47,48,57,58,59,60,62,73,75,79,80,81,82,88,89,90,91,92,93,94,97,98,99,100,
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,
142,143,144,145,147,149,153,170,173,174,175,176,178,180,182,183,186,188,190,
191,192,193,194,195,196,197,198,226,227,231,233,240,242,249,252,253,254,255,
256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,
275,277,304,305,306,312,313,321,322,324,325,326,328,329,340,342,344,345,355,
361,362,363,364,365,366,367,368,369,370,392,394,395,396,399,409,410,417,419,
433,434,435,437,438,450],[1,2,3,4,5,6,7,8,9,11,12,13,14,15,16,17,19,23,24,27,
28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,56,57,61,63,64,
67,69,70,71,72,73,74,76,77,78,79,80,82,83,84,85,86,87,91,96,97,98,99,100,104,
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,
143,144,145,146,147,148,169,170,171,172,177,179,181,182,184,185,187,188,189,
197,199,200,201,202,205,206,208,209,212,213,214,222,223,224,227,228,230,232,
234,235,236,237,239,240,241,249,252,253,254,255,256,257,258,259,260,261,262,
263,264,265,266,267,268,269,270,271,272,273,274,275,277,278,279,280,282,284,
285,307,308,310,311,320,323,327,328,330,332,334,336,337,338,339,340,341,342,
343,344,345,346,347,348,361,362,363,364,365,366,367,368,369,393,397,400,402,
403,410,411,413,414,417,418,431,436,451],[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,
42,43,44,45,46,47,48,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,
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,
96,97,98,99,100,101,102,104,105,106,107,108,109,110,111,112,113,114,115,116,
117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,
136,137,138,139,140,141,142,143,144,145,146,147,148,150,151,152,154,155,156,
157,158,159,160,161,162,163,165,166,167,168,169,170,171,172,173,174,175,176,
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,
234,235,236,237,238,239,240,241,243,244,245,246,249,251,252,253,254,255,256,
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,
295,296,297,298,299,300,301,303,304,305,306,307,308,309,310,311,312,313,314,
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,
353,354,356,357,358,359,360,361,362,363,364,365,366,367,368,369,372,373,374,
375,376,377,378,379,381,382,383,384,385,386,387,388,390,391,392,393,394,395,
396,397,398,399,400,401,402,403,404,405,406,407,408,410,411,413,414,417,418,
420,421,422,423,424,427,428,429,430,431,432,433,436,439,441,443,444,451,452],[
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,
30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,55,56,57,
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,
84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,104,105,106,107,
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,
147,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,165,166,167,
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,
225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,242,245,246,
247,248,249,250,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,
267,268,269,270,271,272,273,274,275,276,277,281,283,286,287,288,289,290,291,
292,293,294,295,296,297,298,299,300,302,303,304,305,306,307,308,309,310,311,
312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,
331,332,333,334,335,336,337,338,340,342,344,345,353,355,357,361,362,363,364,
365,366,367,368,369,370,372,373,374,375,376,377,378,379,382,386,389,390,391,
392,393,394,395,396,397,398,399,400,401,402,403,404,405,406,407,408,409,410,
412,415,417,419,420,421,422,423,424,426,427,431,432,433,434,435,437,438,440,
442,443,445,446,447,448,450,453],[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]],
0,[[1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1,1],[1,3,1],[1,1,1,1],[1,
3,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,1,1,1],[1,1,1,1],[1,3,1,1],[1,1,1,1],[
1,3,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,1,3,1],[1,5,1,2,1],[1,1,1,1],[1,4,
1],[1,4,1],[1,1,3,1],[1,1,3,1],[1,1,3,1],[1,4,1],[1,1,3,1],[1,1,3,1],[1,2,2,
1],[1,1,3,1],[1,1,1,1,1,1],[1,2,1,1,1],[1,4,1],[1,1,1],[1,1,3,1],[1,1,3,1],[1,
1,1],[1,1,3,1],[1,1,3,1],[1,1,1,2,1],[1,1,3,1],[1,1,1,1,1,1],[1,3,4,1,1],[1,7,
1,3,1,2,1],[1,7,1,3,1,1,1,1],[1,7,1,3,1,1,1,1],[1,7,1,3,1,1,1,1],[1,1],[1,5,3,
2,1,1,1,1],[1,9,4,12,1,1],[1,9,4,12,1,1],[1,9,4,12,1,1],[1,9,1,3,3,9,1,1],[1,
9,1,3,3,9,1,1],[1,9,1,1,1,1,3,3,3,3,1,1],[1,9,1,3,3,9,1,1],[1,9,4,12,1,1],[1,
9,1,3,3,9,1,1],[1,9,1,3,1,1],[1,9,1,3,1,1],[1,9,1,3,3,9,1,1],[1,9,1,3,3,9,1,
1],[1,3,2,1,1,1,3,1,1],[1,3,4,1,3,1,1],[1,3,1,3,1,3,1,1],[1,3,2,1,1,1,3,1,1],[
1,3,1,3,1,3,1,1],[1,3,1,3,3,1,1,1],[1,9,1,3,9,3,1,1],[1,3,1,3,1,3,1,1],[1,3,2,
2,1,3,1,1],[1,3,1,3,3,1,1,1],[1,3,1,3,1,3,1,1],[1,3,4,3,1,1,1],[1,9,1,3,3,9,1,
1],[1,3,1,3,1,3,1,1],[1,3,1,3,1,3,1,1],[1,3,1,3,1,3,1,1],[1,3,1,3,3,1,1,1],[1,
9,1,1,2,3,3,6,1,1],[1,3,2,2,1,3,1,1],[1,9,2,2,6,6,1,1],[1,3,4,3,1,1,1],[1,3,1,
1,2,1,3,1,1],[1,1,1,1,1,1,1,1,1,1,1,1],[1,9,2,1,1,3,6,3,1,1],[1,3,1,1,2,3,1,1,
1],[1,9,1,1,1,1,3,3,3,3,1,1],[1,3,1,3,3,1,1,1],[1,3,1,3,3,1,1,1],[1,1,1,3,1,1,
3,1],[1,1,4,3,4,1,1],[1,1,4,3,4,1,1],[1,1,4,3,4,1,1],[1,1,1,1,1,3,1,1],[1,13,
1,1,6,1,4,3,1,2,1],[1,9,4,3,4,4,3,1,1],[1,13,13,1],[1,1,12,4,9,1],[1,1,12,4,
1],[1,1,12,4,1],[1,4,3,3,3,1,1,1,1,9,1],[1,1,12,4,9,1],[1,1,12,4,1],[1,1,12,4,
1],[1,1,3,9,1,3,9,1],[1,1,3,9,1,3,1],[1,4,9,1,3,9,1],[1,1,3,9,1,3,1],[1,1,3,6,
3,1,3,3,3,3,1],[1,1,6,3,3,1,1,1,1,3,6,1],[1,4,3,6,1,1,2,1],[1,1,3,3,6,1,3,3,3,
3,1],[1,1,3,3,6,1,1,2,1],[1,4,3,6,1,1,2,1],[1,1,3,3,6,1,1,2,9,1],[1,4,3,6,1,1,
2,1],[1,1,3,3,6,1,1,2,1],[1,1,3,9,1,3,1],[1,1,3,1,3,1],[1,1,3,1,3,1],[1,1,3,9,
1,3,3,6,1],[1,4,1,3,1],[1,1,3,9,1,3,1],[1,4,1,3,1],[1,1,3,9,1,3,1],[1,1,3,9,1,
3,1],[1,1,3,1,3,1],[1,1,3,1,3,1],[1,4,9,1,3,1],[1,1,3,1,3,1],[1,1,3,1,3,1],[1,
1,3,9,1,3,1],[1,7,6,1,1,2,1],[1,4,3,6,1,1,2,1],[1,4,3,6,1,1,2,1],[1,4,3,6,1,1,
2,1],[1,1,3,3,6,1,1,2,1],[1,1,3,3,6,1,1,2,1],[1,9,4,9,12,1,1,1],[1,9,4,9,12,1,
1,1],[1,9,4,9,12,1,1,1],[1,9,4,9,12,1,1,1],[1,15,4,9,6,14,1,6,1,2,1],[1,15,4,
9,2,6,12,1,6,1,2,1],[1,15,2,2,9,2,6,6,6,1,6,2,1,1],[1,9,2,2,9,6,6,1,1,1],[1,
15,4,9,12,6,2,1,6,1,2,1],[1,15,2,2,9,2,6,6,6,1,6,2,1,1],[1,15,1,3,9,3,1,4,3,9,
1,3,3,1,1,1,1],[1,15,1,3,9,3,1,4,3,9,1,3,3,1,1,1,1],[1,15,1,3,9,1,1,3,3,9,3,1,
3,3,1,1,1,1],[1,15,2,1,1,9,1,1,3,3,3,6,3,1,3,3,1,1,1,1],[1,15,1,3,9,3,1,4,3,9,
1,3,3,1,1,1,1],[1,15,1,1,2,9,3,3,3,1,3,1,6,1,3,3,1,1,1,1],[1,15,1,3,9,1,1,3,3,
3,9,1,3,3,1,1,1,1],[1,19,1,1,1,1,9,1,3,3,3,6,1,1,3,1,3,3,1,3,3,3,3,1,1,1,1],[
1,13,1,1],[1,13,4,3,6,4,4,4,1,3,3,4,3,1,1],[1,13,4,3,6,4,4,4,1,3,3,4,3,1,1],[
1,13,4,3,6,4,4,4,1,3,3,4,3,1,1],[1,13,1,3,6,1,4,1,3,3,3,2,3,1,1,1,1],[1,9,1,
12,9,12,4,9,1,12,1,1],[1,9,13,9,12,13,1,12,1,1],[1,9,1,12,9,12,4,12,1,1],[1,9,
1,12,9,12,4,12,1,1],[1,27,4,3,3,3,36,27,27,27,1,1,1,1,9,3,3,3,3,27,1,1],[1,27,
1,3,6,3,9,54,27,27,1,3,3,3,3,3,9,9,9,9,1,1],[1,9,1,12,3,9,9,4,9,1,3,9,1,1],[1,
9,4,3,6,9,3,9,1,1,2,1,3,1,1],[1,9,7,6,12,9,1,1,2,1,3,1,1],[1,27,1,6,3,3,9,27,
54,27,1,1,1,1,3,6,3,3,3,3,18,9,1,1],[1,9,4,3,3,3,9,3,3,3,3,1,1,1,1,9,1,3,3,3,
3,1,1],[1,9,1,3,3,6,3,9,9,1,1,2,1,3,1,1],[1,9,1,3,3,6,3,3,3,3,9,1,3,3,3,3,1,3,
3,3,3,1,1],[1,9,4,3,6,12,9,1,1,2,1,3,1,1],[1,9,1,3,3,6,3,9,9,1,1,2,1,3,1,1],[
1,9,1,6,3,3,3,3,3,3,9,1,1,1,1,3,6,1,3,3,3,3,1,1],[1,9,4,3,6,12,9,1,1,2,1,3,1,
1],[1,27,1,3,3,6,9,27,27,54,1,3,3,3,3,3,9,9,9,9,1,1],[1,9,1,3,6,3,3,3,3,3,9,1,
3,3,3,3,1,3,3,3,3,1,1],[1,9,4,3,6,12,9,1,1,2,1,3,1,1],[1,9,4,3,6,12,9,1,1,2,1,
3,1,1],[1,9,4,3,6,9,3,9,1,1,2,1,3,1,1],[1,9,1,3,3,6,3,9,9,1,1,2,9,1,3,9,1,1],[
1,9,1,12,3,9,9,4,1,3,1,1],[1,9,1,12,3,9,9,4,1,3,1,1],[1,9,1,3,3,6,3,9,9,1,1,2,
9,1,3,9,1,1],[1,9,4,3,6,9,3,9,1,1,2,1,3,1,1],[1,9,1,3,3,6,3,9,9,1,1,2,1,3,1,
1],[1,9,4,3,6,12,9,1,1,2,1,3,1,1],[1,9,1,3,3,6,3,9,9,1,1,2,1,3,1,1],[1,9,1,12,
9,12,4,9,1,12,1,1],[1,9,1,12,9,12,4,12,1,1],[1,9,1,12,9,12,4,12,1,1],[1,9,1,3,
9,3,9,9,1,3,1,3,1,1],[1,9,1,3,3,9,1,3,1,3,1,1],[1,9,1,3,9,3,9,9,1,3,1,3,1,1],[
1,9,4,9,9,3,9,1,3,9,1,3,9,1,1],[1,9,1,3,9,9,3,9,1,3,3,9,1,1],[1,9,1,3,9,3,9,9,
1,3,3,6,1,3,9,1,1],[1,9,1,3,9,3,9,9,1,3,1,3,1,1],[1,9,1,3,9,3,9,9,1,3,1,3,1,
1],[1,9,1,3,3,9,1,3,1,3,1,1],[1,9,1,3,3,9,1,3,1,3,1,1],[1,9,1,3,3,6,3,9,9,1,1,
2,1,3,1,1],[1,9,1,3,9,9,3,9,1,3,9,1,3,9,1,1],[1,9,4,3,6,3,9,9,1,1,2,1,3,1,1],[
1,9,1,3,3,9,1,3,1,3,1,1],[1,9,4,9,3,1,3,1,3,1,1],[1,9,4,9,9,3,9,1,3,1,3,1,1],[
1,9,1,3,3,9,1,3,1,3,1,1],[1,9,1,3,9,3,9,9,1,3,1,3,1,1],[1,9,1,3,3,9,1,3,1,3,1,
1],[1,9,4,9,3,1,3,1,3,1,1],[1,9,1,3,3,6,3,9,9,1,1,2,1,3,1,1],[1,9,1,3,9,9,3,9,
1,3,3,9,1,1],[1,9,4,3,6,9,3,3,6,1,1,2,3,3,6,1,1],[1,9,7,6,3,9,3,6,1,1,2,3,3,6,
1,1],[1,9,4,3,6,9,3,9,1,1,2,1,3,1,1],[1,3,4,3,3,3,3,1,3,3,3,1,1,1,1,9,1,1,1,1,
3,1,1],[1,3,1,3,6,3,3,1,3,3,3,1,3,3,3,3,1,1,1,1,3,1,1],[1,9,4,3,6,3,9,3,6,1,1,
2,3,3,6,1,1],[1,9,1,3,3,6,9,3,3,6,1,1,2,3,3,6,1,1],[1,9,4,3,6,9,9,3,1,1,2,1,3,
1,1],[1,3,1,3,3,6,3,1,3,3,3,1,3,3,3,3,1,1,1,1,3,1,1],[1,9,7,6,9,12,1,1,2,1,3,
1,1],[1,9,4,3,6,9,3,3,6,1,1,2,3,3,6,1,1],[1,9,4,3,6,9,3,3,6,1,1,2,3,3,6,1,1],[
1,9,1,3,3,6,9,3,3,6,1,1,2,3,3,6,1,1],[1,3,1,6,3,3,3,1,3,3,3,1,1,1,1,3,6,1,1,1,
1,3,1,1],[1,9,4,3,6,3,9,3,6,1,1,2,3,3,6,1,1],[1,9,1,3,3,6,9,3,3,6,1,1,2,9,3,3,
1,6,1,1],[1,9,4,27,12,9,1,1,3,1],[1,9,4,27,12,9,1,1,3,1],[1,9,4,27,12,9,1,1,3,
1],[1,21,4,9,18,12,12,4,9,1,12,1,4,1,2,1],[1,9,4,9,12,9,1,1,1,1],[1,9,4,9,12,
9,1,1,1,1],[1,21,4,9,18,12,16,9,1,12,1,4,1,2,1],[1,9,4,9,12,9,1,1,1,1],[1,21,
4,9,18,4,12,12,9,1,12,1,4,1,2,1],[1,1,1,4,4,4,3,1,4,4,4,1,4,3,4,1,1,1,1,1],[1,
21,2,2,9,18,2,2,6,6,6,6,9,1,6,6,2,2,1,1,1,1,1],[1,9,4,9,12,9,1,1,1,1],[1,4,12,
12,12,1,3,4,4,4,12,12,18,36,36,4,12,12,12,1],[1,4,12,3,3,18,1,1,4,1,9,6,9,18,
1,1,2,3,3,3,1],[1,4,3,3,12,18,1,1,1,4,6,9,27,1,1,2,3,3,3,1],[1,4,3,12,3,18,1,
4,1,1,6,9,27,1,1,2,3,3,3,1],[1,13,3,3,3,18,13,1,1,1,6,9,18,1,1,2,3,3,3,1],[1,
4,3,3,3,27,1,1,1,1,9,9,9,18,1,3,3,3,3,1],[1,4,3,3,3,1,1,1,1,9,9,1,3,3,3,3,1],[
1,4,3,3,3,1,1,1,1,9,9,1,3,3,3,3,1],[1,4,3,3,3,27,1,1,1,1,9,9,27,1,3,3,3,3,1],[
1,1,3,15,3,4,3,3,3,3,6,1,1,2,1],[1,1,3,3,15,4,3,3,3,3,6,1,1,2,1],[1,1,15,3,3,
18,1,4,9,1,1,3,6,6,6,12,1,1,2,3,3,3,1],[1,1,3,6,3,9,1,3,3,3,3,3,6,1,1,2,1],[1,
13,9,13,3,3,3,1,1,1,1,1],[1,1,12,9,4,9,3,3,3,1,1,1,1,1],[1,1,12,9,9,4,3,3,3,1,
1,1,1,1],[1,1,12,9,9,4,3,3,3,1,1,1,1,1],[1,1,6,3,3,9,18,1,1,1,1,3,3,6,9,6,6,
12,1,1,2,3,3,3,1],[1,4,3,3,3,27,1,1,1,1,9,9,9,9,9,1,1,1,1,1,1,1,1,1,1,1,1,1,
1],[1,1,3,3,6,9,1,3,3,3,3,3,6,1,1,2,1],[1,1,3,18,9,1,3,3,3,3,1,1,1,1,1],[1,1,
3,18,9,1,3,3,3,3,1,1,1,1,1],[1,4,9,9,1,3,3,9,3,3,1,1,1,1,1],[1,1,3,18,1,3,3,3,
9,3,1,1,1,1,1],[1,27,13,27,27,36,13,27,3,36,1,9,3,1],[1,9,13,9,9,12,13,9,1,12,
1,1,1,1],[1,9,1,12,9,9,12,4,9,12,1,1,1],[1,9,1,12,9,9,12,4,9,9,1,12,1,1,1,1],[
1,9,1,12,9,9,12,4,9,12,1,1,1],[1,27,1,12,27,9,12,6,18,18,4,9,18,2,12,6,1,6,1,
2,1],[1,9,1,12,9,9,12,4,9,9,1,12,1,1,1,1],[1,27,1,12,27,9,12,6,18,18,4,9,9,18,
1,2,12,6,18,1,3,6,1,2,1],[1,9,1,12,9,9,12,4,9,12,1,1,1],[1,9,1,12,9,9,12,4,9,
12,1,1,1],[1,27,1,12,27,9,12,6,18,18,4,9,18,2,6,12,1,6,1,2,1],[1,39,1,6,3,3,
27,3,3,3,4,12,3,12,27,3,54,27,1,1,1,1,3,6,9,9,18,9,3,1,3,4,1,3,3,1,3,3,1,3,3,
18,9,1,3,3,3,3,3,1,1,1,1],[1,39,1,3,6,3,27,3,4,3,3,12,12,3,54,3,27,27,1,3,3,3,
3,9,18,9,9,3,1,1,3,3,1,9,1,3,4,9,3,9,9,1,3,3,3,3,3,1,1,1,1],[1,27,1,3,3,6,27,
9,3,3,6,9,9,9,9,6,1,1,2,9,9,9,1,1,3,3,3,3,6,1,3,3,1,1,1,1],[1,27,1,3,3,6,27,9,
3,3,6,9,9,9,9,6,1,1,2,9,9,9,9,1,1,3,3,3,3,1,9,9,6,1,3,3,3,1,1,1,1],[1,27,4,3,
6,27,18,3,18,9,9,6,1,1,2,18,9,1,1,3,3,6,6,1,3,3,1,1,1,1],[1,39,4,3,3,3,27,12,
3,3,3,40,3,3,27,3,27,27,1,1,1,1,9,18,9,9,9,3,3,3,1,3,1,3,3,1,4,1,3,3,27,1,3,3,
3,3,3,1,1,1,1],[1,39,1,3,3,6,27,3,3,4,3,12,3,3,27,12,27,54,1,3,3,3,3,9,9,9,18,
3,1,3,1,3,4,9,3,1,1,9,3,9,9,1,3,3,3,3,3,1,1,1,1],[1,27,4,3,6,27,3,12,9,18,9,6,
6,1,1,2,9,18,1,3,1,3,6,6,1,3,3,1,1,1,1],[1,27,1,3,3,6,27,9,3,3,6,9,9,9,9,6,1,
1,2,9,9,9,1,1,3,3,3,3,6,1,3,3,1,1,1,1],[1,27,4,3,6,27,18,3,18,9,9,6,1,1,2,18,
9,1,1,3,6,3,6,1,3,3,1,1,1,1],[1,27,4,3,6,27,18,3,18,9,9,6,1,1,2,18,9,1,1,3,6,
3,6,1,3,3,1,1,1,1],[1,27,4,3,6,27,3,12,18,9,6,9,6,1,1,2,18,9,1,1,3,3,6,6,1,3,
3,1,1,1,1],[1,27,7,6,27,15,27,15,6,1,1,2,27,1,1,6,6,6,1,3,3,1,1,1,1],[1,37,1,
4,4,4,3,18,1,12,12,12,12,4,4,12,4,12,12,1,9,9,4,3,6,12,12,12,9,4,4,4,1,1,1,1,
3,3,4,3,3,3,3,1,1],[1,21,4,27,18,12,12,4,9,9,9,1,12,9,1,4,3,2,1,1,1,1],[1,21,
4,27,18,4,12,12,9,9,9,1,12,9,1,4,3,2,1,1,1,1],[1,21,4,27,18,12,16,9,9,9,1,12,
9,1,4,3,2,1,1,1,1],[1,81,4,12,12,12,108,324,324,324,1,3,4,4,4,12,12,18,36,36,
9,27,36,36,36,108,108,162,324,324,4,12,12,12,12,36,36,36,1,1],[1,27,4,12,3,3,
18,36,27,27,27,27,1,1,4,1,9,6,9,18,3,3,3,3,9,27,27,1,1,2,3,3,3,1,3,3,3,3,1,
1],[1,27,4,3,12,3,18,36,27,27,27,27,1,4,1,1,6,9,27,3,3,3,3,9,27,27,1,1,2,3,3,
3,1,3,3,3,3,1,1],[1,27,13,3,3,3,18,27,9,9,9,36,54,13,1,1,1,6,9,18,3,3,6,9,9,
36,9,54,1,1,2,3,3,3,3,3,6,9,9,9,1,1],[1,27,4,12,3,3,18,27,9,9,36,9,54,1,1,4,1,
9,6,9,18,3,3,6,9,36,9,9,54,1,1,2,3,3,3,3,3,6,9,9,9,1,1],[1,27,1,3,15,3,9,9,9,
9,27,27,4,3,3,3,3,6,3,3,6,9,9,9,9,1,1,2,3,3,6,1,1],[1,27,4,3,3,12,18,27,9,36,
9,9,54,1,1,1,4,6,9,27,3,9,9,9,36,9,54,1,1,2,3,3,3,3,3,6,9,9,9,1,1],[1,27,4,3,
12,3,18,27,36,9,9,9,54,1,4,1,1,6,9,27,3,36,9,9,9,9,54,1,1,2,3,3,3,3,3,6,9,9,9,
1,1],[1,27,13,3,3,3,18,27,36,27,27,27,13,1,1,1,6,9,18,3,3,3,3,36,27,1,1,2,3,3,
3,3,1,3,3,3,1,1],[1,27,4,3,3,12,18,36,27,27,27,27,1,1,1,4,6,9,27,3,3,3,3,9,27,
27,1,1,2,3,3,3,1,3,3,3,3,1,1],[1,27,1,3,3,15,9,9,9,9,27,27,4,3,3,3,3,6,3,3,6,
9,9,9,9,1,1,2,3,3,6,1,1],[1,27,1,15,3,3,18,9,9,9,9,27,27,54,1,4,9,1,1,3,6,6,6,
12,3,3,6,9,9,9,9,27,54,1,1,2,3,3,3,3,3,6,9,9,9,1,1],[1,27,1,12,9,9,9,27,27,27,
27,4,3,3,3,3,3,3,3,9,1,1,1,1,3,3,3,3,1,1],[1,27,1,12,9,9,27,27,27,4,9,3,3,3,3,
3,3,3,9,27,1,1,1,1,3,3,3,3,1,1],[1,27,13,9,27,36,27,13,3,3,3,3,3,3,3,36,1,1,1,
1,3,3,3,3,1,1],[1,27,1,12,9,9,9,27,27,27,27,4,3,3,3,3,3,3,3,9,1,1,1,1,3,3,3,3,
1,1],[1,9,4,12,12,12,9,3,3,3,3,9,9,9,1,3,4,4,4,12,12,18,36,36,1,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,9,4,12,12,12,1,1,1,1,3,3,3,3,1,1],[1,9,4,12,3,3,18,9,3,9,9,
9,9,1,1,4,1,9,6,9,18,1,3,3,3,3,9,9,1,1,2,3,3,3,1,1,1,1,3,1,1],[1,9,4,3,3,12,
18,9,3,9,9,9,9,1,1,1,4,6,9,27,1,3,3,3,3,9,9,1,1,2,3,3,3,1,1,1,1,3,1,1],[1,9,1,
3,3,15,9,12,9,9,9,4,3,3,3,3,6,3,3,3,12,9,1,1,2,1,3,1,1],[1,27,1,3,3,15,9,27,
27,27,54,4,3,3,3,3,6,3,9,9,9,9,9,1,1,2,1,3,1,1],[1,27,1,3,15,3,9,27,54,27,27,
4,3,3,3,3,6,3,9,9,9,9,9,1,1,2,1,3,1,1],[1,27,1,15,3,3,18,9,27,27,54,27,1,4,9,
1,1,3,6,6,6,12,3,3,3,3,9,27,18,9,1,1,2,3,3,3,3,1,3,3,3,1,1],[1,9,1,3,15,3,9,
12,9,9,9,4,3,3,3,3,6,3,12,3,3,9,1,1,2,1,3,1,1],[1,9,13,3,3,3,18,9,12,9,9,9,13,
1,1,1,6,9,18,1,3,3,12,3,9,1,1,2,3,3,3,1,1,1,1,3,1,1],[1,9,4,3,12,3,18,9,3,9,9,
9,9,1,4,1,1,6,9,27,1,3,3,3,3,9,9,1,1,2,3,3,3,1,1,1,1,3,1,1],[1,9,1,15,3,3,18,
9,12,9,9,9,1,4,9,1,1,3,6,6,6,12,1,3,3,12,3,9,1,1,2,3,3,3,1,1,1,1,3,1,1],[1,9,
4,3,3,3,9,3,9,9,9,1,1,1,1,9,9,1,3,3,3,3,9,1,3,3,3,3,1,1,1,1,3,1,1],[1,27,4,3,
3,3,27,27,9,9,9,9,81,1,1,1,1,9,9,9,9,9,3,3,3,9,9,9,9,3,81,1,1,1,1,1,1,1,1,1,1,
1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1],[1,9,4,3,3,3,9,3,9,9,9,1,1,1,1,9,9,1,3,3,
3,3,9,1,3,3,3,3,1,1,1,1,3,1,1],[1,9,4,3,3,3,27,9,3,9,9,9,9,1,1,1,1,9,9,27,1,3,
3,3,3,9,9,1,3,3,3,3,1,1,1,1,3,1,1],[1,9,4,3,3,3,27,9,3,9,9,9,9,1,1,1,1,9,9,9,
18,1,3,3,3,3,9,9,1,3,3,3,3,1,1,1,1,3,1,1],[1,9,1,3,3,6,9,9,3,9,9,9,9,1,3,3,3,
3,3,6,3,3,3,3,9,9,1,1,2,1,3,1,1],[1,9,1,6,3,3,9,18,9,3,9,9,9,9,1,1,1,1,3,3,6,
9,6,6,12,1,3,3,3,3,9,9,1,1,2,3,3,3,1,1,1,1,3,1,1],[1,9,1,3,6,3,9,9,3,9,9,9,9,
1,3,3,3,3,3,6,3,3,3,3,9,9,1,1,2,1,3,1,1],[1,9,1,12,27,9,12,9,4,9,27,1,12,9,1,
3,1,1,3,1],[1,9,13,27,9,12,9,13,27,1,12,9,1,3,1,1,3,1],[1,9,4,12,24,27,12,36,
9,1,4,8,1,12,9,4,3,4,1,1],[1,9,4,12,24,27,12,36,9,1,4,8,1,12,9,4,3,4,1,1],[1,
9,1,12,27,9,12,9,4,27,12,9,1,1,3,1],[1,9,4,12,24,27,12,36,9,1,4,8,1,12,9,4,3,
4,1,1],[1,9,4,12,24,27,12,36,9,1,4,8,1,12,9,4,3,4,1,1],[1,9,4,12,24,27,12,36,
9,1,4,8,1,12,9,4,3,4,1,1],[1,9,1,12,27,9,12,9,4,27,12,9,1,1,3,1],[1,9,16,24,
27,12,36,9,4,1,8,1,12,9,4,3,4,1,1],[1,9,1,12,9,9,12,27,4,9,12,9,1,1,1,1],[1,9,
1,12,9,9,12,27,4,9,12,9,1,1,1,1],[1,45,1,12,9,54,9,12,12,36,36,27,4,9,18,36,4,
12,12,9,1,12,1,4,1,2,1],[1,9,1,12,9,9,12,27,4,9,9,1,12,9,1,1,1,3,1,1],[1,9,13,
9,9,12,27,13,9,1,12,9,1,1,1,3,1,1],[1,45,1,12,9,54,9,12,12,36,36,27,4,9,18,36,
4,12,12,9,1,12,1,4,1,2,1],[1,9,16,24,27,36,12,9,1,4,8,1,12,9,4,3,4,1,1],[1,45,
1,12,9,54,9,12,12,36,36,27,4,9,9,18,36,1,4,12,12,36,9,1,1,6,12,1,4,3,1,2,1],[
1,45,13,9,54,45,60,27,13,9,54,5,60,9,1,1,18,5,3,2,1,1],[1,9,1,12,9,9,12,27,4,
9,12,9,1,1,1,1],[1,9,1,12,9,9,12,27,4,9,9,1,12,9,1,1,1,3,1,1],[1,9,1,12,9,9,
12,27,4,9,12,9,1,1,1,1],[1,13,12,12,12,72,13,3,4,4,4,12,12,18,24,36,36,72,1,4,
8,12,12,12,12,12,12,24,24,24,1,4,8,1],[1,13,12,12,12,72,13,4,4,4,9,24,36,54,
72,72,108,1,1,1,1,4,6,6,6,8,8,8,8,12,12,12,12,12,12,4,4,4,4,24,1],[1,4,21,12,
12,18,54,1,3,4,7,4,9,12,12,18,6,36,36,18,18,18,36,1,4,2,12,12,12,3,3,3,6,6,6,
6,9,9,9,18,18,18,1,1,2,3,6,1],[1,4,12,12,21,18,1,3,4,4,7,12,12,18,6,36,36,18,
27,1,4,2,12,12,12,3,3,3,6,6,6,6,1,1,2,3,6,1],[1,4,12,21,12,18,1,3,7,4,4,12,12,
18,6,36,36,18,27,1,4,2,12,12,3,12,3,3,6,6,6,6,1,1,2,3,6,1],[1,13,3,3,3,18,27,
13,1,1,1,6,9,9,18,9,9,9,18,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,1,3,6,
1],[1,4,3,12,3,45,27,1,4,1,1,15,9,27,9,9,9,27,18,1,1,2,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,1,1,1,1,3,6,1],[1,4,12,3,3,45,1,1,4,1,9,15,9,9,27,18,9,1,1,2,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,1,1,1,1,3,6,1],[1,4,3,3,12,45,27,1,1,1,4,15,9,9,27,9,9,
27,18,1,1,3,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,1,3,6,1],[1,81,4,12,12,12,81,
108,324,324,324,1,3,4,4,4,12,12,18,36,36,9,27,36,36,36,108,108,162,324,324,4,
12,12,12,9,27,54,12,36,36,36,1,1,1],[1,27,13,36,27,27,36,13,12,12,12,27,27,3,
36,1,4,4,4,9,3,4,1,1],[1,99,4,12,12,12,81,18,6,6,6,114,18,18,324,18,324,324,1,
3,4,4,4,12,12,18,36,36,54,54,54,54,9,27,36,36,2,36,6,6,6,6,6,6,108,6,6,6,6,6,
108,6,6,6,6,6,162,18,324,324,4,12,12,12,9,9,9,9,18,18,18,18,18,18,18,12,36,36,
2,2,2,36,2,6,6,6,6,1,6,6,6,6,1,2,1],[1,63,1,3,15,3,81,9,21,9,9,18,63,9,81,9,
27,27,4,3,3,3,3,6,27,81,27,27,6,3,6,3,9,9,12,9,3,18,12,9,9,9,9,1,1,2,9,9,9,18,
9,1,1,3,6,6,3,1,3,3,1,1,1,1],[1,63,4,3,3,12,18,81,36,9,36,9,48,9,9,27,36,27,
36,54,1,1,1,4,6,9,27,54,27,27,54,3,3,4,3,3,12,9,9,3,12,3,36,9,27,9,9,27,54,1,
1,2,3,3,3,9,18,9,9,9,9,3,1,1,3,3,3,3,4,1,1,6,3,9,9,9,1,3,3,3,3,3,1,1,1,1],[1,
63,1,3,3,15,81,9,9,21,9,18,9,9,27,63,27,81,4,3,3,3,3,6,27,27,27,81,6,3,6,9,3,
18,12,9,9,3,12,9,9,9,9,1,1,2,9,18,9,9,9,1,3,1,6,6,3,1,3,3,1,1,1,1],[1,63,1,15,
3,3,18,81,9,9,9,21,18,9,63,27,9,81,27,54,1,4,9,1,1,3,6,6,6,12,27,27,81,27,1,3,
3,6,6,12,3,3,9,12,3,18,3,9,54,9,18,9,54,1,1,2,3,3,3,9,9,18,9,9,9,1,6,1,1,3,1,
1,6,9,3,9,3,3,3,9,1,3,3,3,3,3,1,1,1,1],[1,63,13,3,3,3,18,81,63,9,9,9,84,9,9,
27,9,27,27,54,13,1,1,1,6,9,18,81,27,27,27,7,3,3,3,3,6,3,9,9,3,84,3,9,9,27,54,
1,1,2,3,3,3,27,9,9,9,9,7,1,3,3,1,1,3,3,1,6,9,3,9,9,1,3,3,3,3,3,1,1,1,1],[1,63,
4,3,12,3,18,81,36,36,9,9,48,36,9,36,9,27,27,54,1,4,1,1,6,9,27,54,54,27,27,3,4,
3,3,3,3,36,9,12,12,3,9,9,9,9,27,27,54,1,1,2,3,3,3,9,9,9,18,9,9,3,1,3,3,1,1,4,
3,1,3,6,3,9,9,9,1,3,3,3,3,3,1,1,1,1],[1,63,4,12,3,3,18,81,36,9,9,36,48,9,36,
27,9,36,27,54,1,1,4,1,9,6,9,18,54,27,54,27,3,3,3,3,3,4,6,3,9,36,3,12,12,9,36,
9,27,54,1,1,2,3,3,3,9,9,9,18,9,9,3,1,4,3,1,3,1,1,3,3,6,9,3,9,9,1,3,3,3,3,3,1,
1,1,1],[1,13,13,27,1,1],[1,45,4,12,24,27,54,12,12,36,36,12,36,24,9,27,27,1,4,
8,36,36,27,1,4,12,12,12,24,9,4,3,6,12,9,4,4,4,1,3,3,4,3,1,1],[1,45,13,27,54,
45,60,9,27,27,13,27,54,27,5,60,9,9,9,1,3,18,9,5,1,3,3,2,3,3,1,1,1,1],[1,45,1,
12,27,54,9,12,12,36,36,9,27,27,4,9,27,18,36,27,1,4,12,12,36,9,9,9,1,3,6,12,9,
1,4,1,3,3,3,2,3,1,1,1,1],[1,45,16,24,27,54,24,72,48,24,9,27,27,4,1,8,72,27,1,
4,24,12,24,9,4,3,12,6,9,4,4,4,1,3,3,4,3,1,1],[1,45,1,12,27,54,9,12,12,36,36,9,
27,27,4,27,18,36,27,4,12,12,9,9,9,1,12,9,1,4,3,2,1,1,1,1],[1,45,4,12,24,27,54,
36,12,24,36,36,24,9,27,27,1,4,8,36,36,27,1,4,12,12,12,24,9,4,3,6,12,9,4,4,4,1,
3,3,4,3,1,1],[1,45,1,12,27,54,9,12,12,36,36,9,27,27,4,27,18,36,27,4,12,12,9,9,
9,1,12,9,1,4,3,2,1,1,1,1],[1,45,4,12,24,27,54,12,12,36,36,36,12,24,9,27,27,1,
4,8,36,36,27,1,12,4,12,12,24,9,4,3,6,12,9,4,4,4,1,3,3,4,3,1,1],[1,45,16,24,27,
54,48,72,24,24,9,27,27,1,4,8,72,27,4,1,12,24,24,9,4,3,6,12,9,4,4,4,1,3,3,4,3,
1,1],[1,45,4,12,24,27,54,36,12,24,36,36,24,9,27,27,1,4,8,36,36,27,1,4,12,12,
12,24,9,4,3,6,12,9,4,4,4,1,3,3,4,3,1,1],[1,45,4,12,24,27,54,36,12,24,36,36,24,
9,27,27,1,4,8,36,36,27,1,4,12,12,12,24,9,4,3,6,12,9,4,4,4,1,3,3,4,3,1,1],[1,
81,13,12,12,12,72,81,108,324,324,324,13,3,4,4,4,12,12,18,24,36,36,72,9,27,36,
36,36,108,108,108,162,324,324,1,4,8,12,12,12,12,12,12,24,24,24,9,12,36,36,36,
36,36,36,1,4,8,1,12,1,1],[1,81,13,12,12,12,72,81,108,108,108,108,648,13,4,4,4,
9,24,36,54,72,72,108,9,9,36,54,72,72,108,108,108,108,108,648,1,1,1,1,4,6,6,6,
8,8,8,8,12,12,12,12,12,12,9,9,9,9,36,54,54,54,72,72,72,72,108,108,108,108,108,
108,4,4,4,4,24,12,12,12,12,72,1,1],[1,81,4,21,12,12,18,54,108,81,324,324,324,
1,3,4,7,4,9,12,12,18,6,36,36,18,18,18,36,9,27,36,36,36,108,108,27,162,81,324,
324,1,4,2,12,12,12,3,3,3,6,6,6,6,9,9,9,18,18,18,12,36,9,36,9,36,9,9,27,27,27,
1,1,2,3,6,1,3,9,1,1],[1,81,4,12,21,12,18,108,81,324,324,324,1,3,7,4,4,12,12,
18,6,36,36,18,27,9,27,36,36,36,108,27,108,162,324,81,324,1,4,2,12,12,3,12,3,3,
6,6,6,6,12,36,36,9,36,9,9,9,1,1,2,3,6,1,3,9,1,1],[1,81,4,12,12,21,18,108,324,
81,324,324,1,3,4,4,7,12,12,18,6,36,36,18,27,9,27,36,36,36,27,108,108,162,81,
324,324,1,4,2,12,12,12,3,3,3,6,6,6,6,12,36,36,9,36,9,9,9,1,1,2,3,6,1,3,9,1,
1],[1,27,13,12,12,12,72,27,9,9,9,36,27,27,27,54,13,3,4,4,4,12,12,18,24,36,36,
72,3,3,6,9,9,9,9,9,9,9,9,9,9,36,9,9,9,9,9,27,54,1,4,8,12,12,12,12,12,12,24,24,
24,3,3,3,3,3,3,3,3,6,6,6,6,9,9,9,9,9,9,9,1,4,8,1,3,3,6,1,1],[1,27,4,21,12,12,
18,54,27,9,9,9,9,27,27,27,27,54,1,3,4,7,4,9,12,12,18,6,36,36,18,18,18,36,3,3,
6,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,27,27,54,1,4,2,12,12,12,3,3,3,6,6,6,6,9,9,9,
18,18,18,3,3,3,3,3,3,3,3,6,6,6,6,9,9,9,9,9,9,9,1,1,2,3,6,1,3,3,6,1,1],[1,27,
13,12,12,12,72,27,36,27,27,27,27,27,27,13,4,4,4,9,24,36,54,72,72,108,3,3,3,3,
9,9,36,9,27,27,27,27,27,1,1,1,1,4,6,6,6,8,8,8,8,12,12,12,12,12,12,3,1,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,9,4,4,4,4,24,1,1,1,1,3,3,3,3,1,1],[1,27,4,12,12,21,18,
27,9,36,9,9,27,27,27,54,1,3,4,4,7,12,12,18,6,36,36,18,27,3,9,9,9,9,9,9,9,9,9,
9,9,9,9,9,36,9,9,27,54,1,4,2,12,12,12,3,3,3,6,6,6,6,3,3,3,3,3,6,9,9,9,9,9,9,9,
1,1,2,3,6,1,3,3,6,1,1],[1,27,4,12,12,21,18,27,9,9,9,9,27,27,27,27,1,3,4,4,7,
12,12,18,6,36,36,18,27,3,3,6,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,27,27,1,4,2,12,
12,12,3,3,3,6,6,6,6,3,3,3,3,3,3,3,3,6,6,6,6,9,9,9,9,1,1,2,3,6,1,3,3,6,1,1],[1,
27,4,21,12,12,18,54,27,9,9,36,9,27,27,27,54,1,3,4,7,4,9,12,12,18,6,36,36,18,
18,18,36,3,3,6,9,9,9,9,9,9,9,9,36,9,9,9,9,9,9,9,27,54,1,4,2,12,12,12,3,3,3,6,
6,6,6,9,9,9,18,18,18,3,3,3,3,3,3,3,3,6,6,6,6,9,9,9,9,9,9,9,1,1,2,3,6,1,3,3,6,
1,1],[1,27,4,12,21,12,18,27,36,9,9,9,27,27,27,54,1,3,7,4,4,12,12,18,6,36,36,
18,27,3,9,9,9,9,9,36,9,9,9,9,9,9,9,9,9,9,9,27,54,1,4,2,12,12,3,12,3,3,6,6,6,6,
3,3,3,3,3,6,9,9,9,9,9,9,9,1,1,2,3,6,1,3,3,6,1,1],[1,27,4,12,21,12,18,27,9,9,9,
9,27,27,27,27,1,3,7,4,4,12,12,18,6,36,36,18,27,3,3,6,9,9,9,9,9,9,9,9,9,9,9,9,
9,9,9,9,27,27,1,4,2,12,12,3,12,3,3,6,6,6,6,3,3,3,3,3,3,3,3,6,6,6,6,9,9,9,9,1,
1,2,3,6,1,3,3,6,1,1],[1,27,4,3,12,3,45,27,27,9,27,27,27,27,27,27,1,4,1,1,15,9,
27,9,9,9,27,18,3,3,3,3,9,9,9,9,27,27,27,27,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,9,1,1,1,1,3,6,1,3,3,3,3,1,1],[1,27,13,3,3,3,
18,27,27,36,27,27,27,27,13,1,1,1,6,9,9,18,9,9,9,18,3,3,3,3,9,9,36,9,27,27,1,1,
2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,9,1,1,1,1,3,6,
1,3,3,3,3,1,1],[1,27,4,3,3,12,45,27,27,9,27,27,27,27,27,27,1,1,1,4,15,9,9,27,
9,9,27,18,3,3,3,3,9,9,9,9,27,27,27,27,1,1,3,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,9,1,1,1,1,3,6,1,3,3,3,3,1,1],[1,27,4,12,3,3,45,27,
9,27,27,27,27,27,1,1,4,1,9,15,9,9,27,18,9,3,3,3,3,9,9,9,9,27,27,27,1,1,2,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,9,1,1,1,1,3,6,1,3,3,
3,3,1,1],[1,81,4,12,12,12,243,108,324,324,324,81,1,3,4,4,4,12,12,18,36,36,9,
27,36,36,36,108,108,162,324,324,4,12,12,12,27,81,162,12,36,36,36,9,27,1,1,3,
1],[1,9,13,12,12,12,72,27,9,12,36,36,36,9,13,4,4,4,24,36,72,27,1,12,12,12,12,
36,9,9,9,9,1,4,8,12,12,12,3,1,4,4,4,12,1,9,4,3,4,1,1,1,1,1],[1,9,1,12,24,12,
27,9,12,36,36,36,9,4,12,12,12,12,24,27,12,12,12,12,36,9,9,9,9,1,4,8,1,12,9,4,
3,4,1,1],[1,81,4,12,12,12,81,108,324,324,324,81,1,3,4,4,4,12,12,18,36,36,9,27,
36,36,36,108,108,162,324,324,4,12,12,12,9,27,54,12,36,36,36,9,9,1,1,1,1],[1,9,
1,24,12,12,72,27,9,12,36,36,36,9,4,4,9,4,4,12,24,24,24,48,27,1,12,12,12,12,36,
9,9,9,9,1,4,8,12,12,12,3,1,4,4,4,12,1,9,4,3,4,1,1,1,1,1],[1,9,1,12,12,24,27,9,
12,36,36,36,9,4,12,12,12,12,24,27,12,12,12,12,36,9,9,9,9,1,4,8,1,12,9,4,3,4,1,
1],[1,117,4,12,12,12,81,162,36,12,12,12,120,36,36,324,36,324,324,81,1,3,4,4,4,
12,12,18,36,36,108,108,108,108,9,27,36,36,4,36,12,12,12,12,12,12,108,12,12,12,
12,12,108,12,12,12,12,12,162,36,324,324,4,12,12,12,9,27,18,18,18,54,18,36,36,
36,36,36,36,36,12,36,36,4,4,4,36,4,12,12,12,12,9,9,18,1,12,12,12,12,1,4,1,2,
1],[1,81,13,36,27,108,81,108,108,81,13,12,12,12,27,27,108,9,12,12,12,108,27,
27,1,4,4,4,3,36,9,12,12,12,9,4,4,3,4,3,1,1],[1,13,21,21,21,126,54,13,3,7,7,7,
9,12,12,18,42,63,36,54,18,126,72,18,18,18,108,36,1,1,1,1,7,6,6,6,8,8,14,8,12,
12,21,12,12,21,12,21,12,6,6,6,6,6,24,6,6,24,6,6,6,6,6,24,9,9,9,18,18,18,1,4,4,
4,7,2,2,2,8,3,3,3,6,6,6,6,6,6,24,6,12,12,12,12,1,1,1,1,1,2,2,2,2,1],[1,81,13,
12,12,12,72,81,81,108,108,108,108,648,13,4,4,4,9,24,36,54,72,72,108,81,9,9,36,
54,72,72,108,108,108,108,108,648,1,1,1,1,4,6,6,6,8,8,8,8,12,12,12,12,12,12,9,
9,18,9,9,9,9,36,54,54,54,72,72,72,72,108,108,108,108,108,108,4,4,4,4,24,9,9,9,
9,18,18,18,12,12,12,12,72,1,1,1],[1,81,13,12,12,12,72,81,81,108,324,324,324,
13,3,4,4,4,12,12,18,24,36,36,72,81,9,27,36,36,36,108,108,108,162,324,324,1,4,
8,12,12,12,12,12,12,24,24,24,9,27,54,9,12,36,36,36,36,36,36,1,4,8,9,1,12,1,1,
1,1],[1,135,13,12,12,12,72,243,135,18,18,18,180,54,54,324,54,324,324,108,13,3,
4,4,4,12,12,18,24,36,36,72,243,162,162,162,15,27,36,36,6,36,12,18,18,18,18,18,
18,108,18,18,18,18,180,108,18,18,18,18,18,162,54,324,324,108,1,4,8,12,12,12,
12,12,12,24,24,24,81,27,27,27,54,54,54,54,54,54,54,15,12,36,36,36,6,6,6,6,36,
6,6,36,36,6,12,12,12,12,18,18,18,18,18,18,18,1,4,8,9,18,18,18,18,18,18,18,1,2,
12,6,6,12,1,3,6,1,2,1],[1,135,13,12,12,12,72,243,135,108,108,108,180,54,54,54,
54,54,54,648,13,4,4,4,9,24,36,54,72,72,108,243,162,162,162,9,15,6,6,36,6,54,
72,72,18,108,108,18,180,18,108,108,54,54,54,54,54,648,1,1,1,1,4,6,6,6,8,8,8,8,
12,12,12,12,12,12,81,27,54,54,54,54,54,9,15,9,9,2,6,6,36,6,6,6,6,6,6,6,6,6,6,
6,6,6,54,54,54,72,72,72,72,108,18,108,108,108,108,108,4,4,4,4,24,9,9,9,9,18,
18,18,18,18,18,18,2,2,12,12,12,12,2,2,6,6,6,6,72,1,6,6,6,6,1,2,1],[1,135,4,12,
12,21,18,243,54,18,45,18,126,54,54,324,135,324,351,54,1,3,4,4,7,12,12,18,6,36,
36,18,27,162,162,162,243,9,27,36,39,6,36,6,18,18,18,18,45,18,108,18,18,18,18,
18,108,18,18,18,45,9,18,162,81,54,324,27,324,54,1,4,2,12,12,12,3,3,3,6,6,6,6,
27,27,27,27,81,54,54,54,54,27,54,54,3,12,36,3,36,6,9,6,6,36,6,9,9,12,3,3,6,6,
6,6,6,18,18,18,9,9,18,9,1,1,2,3,6,9,18,18,9,18,18,9,9,1,1,3,1,6,3,3,9,6,6,1,3,
3,3,1,1,1,1],[1,135,4,21,12,12,18,54,243,54,18,18,45,126,54,135,324,54,351,
324,54,54,1,3,4,7,4,9,12,12,18,6,36,36,18,18,18,36,162,162,243,162,3,9,27,36,
36,6,39,6,6,18,18,18,18,18,18,108,18,18,45,18,18,108,45,18,18,18,18,162,108,
54,324,324,54,54,1,4,2,12,12,12,3,3,3,6,6,6,6,9,9,9,18,18,18,27,27,27,27,27,
54,81,54,54,54,54,54,3,12,36,12,3,36,6,3,6,9,6,3,36,6,3,3,3,9,9,6,6,6,6,6,6,6,
6,9,9,27,18,18,9,9,27,18,27,9,18,9,1,1,2,3,6,9,18,18,9,18,18,9,9,9,9,9,1,3,1,
1,6,3,9,3,6,6,1,3,3,3,1,1,1,1],[1,135,4,12,21,12,18,243,54,45,18,18,126,135,
54,351,54,324,324,54,1,3,7,4,4,12,12,18,6,36,36,18,27,162,243,162,162,9,27,39,
36,6,36,6,18,18,18,18,18,45,108,18,18,18,45,18,108,18,18,18,18,9,18,162,27,54,
324,81,324,54,1,4,2,12,12,3,12,3,3,6,6,6,6,27,27,27,27,54,54,54,54,81,27,54,
54,3,12,36,36,6,6,9,3,6,36,6,3,12,9,3,9,6,6,6,6,6,18,18,9,18,9,18,9,1,1,2,3,6,
9,18,18,9,9,9,18,18,1,3,1,1,6,9,3,3,6,6,1,3,3,3,1,1,1,1],[1,13,117,13,39,39,
39,27,1,13,13,13,27,13,1,1],[1,117,4,12,12,12,243,162,36,12,12,12,120,36,36,
324,36,324,324,81,81,81,1,3,4,4,4,12,12,18,36,36,108,108,108,108,81,9,27,36,
36,4,36,12,12,12,12,12,12,108,12,12,12,12,12,108,12,12,12,12,12,162,36,324,
324,4,12,12,12,27,81,18,18,18,162,18,36,36,36,36,36,36,36,12,36,36,4,4,4,36,4,
12,12,12,12,9,27,9,9,9,9,18,1,12,12,12,12,9,9,1,4,3,2,1,1,1,1],[1,117,13,12,
12,12,72,27,162,117,36,36,36,156,36,36,108,36,108,108,216,9,81,81,13,4,4,4,24,
36,72,27,162,108,108,108,81,13,12,12,12,12,24,12,36,36,12,156,12,36,36,108,
216,9,9,9,9,27,27,1,4,8,12,12,12,3,54,36,36,36,36,27,27,27,27,13,4,12,12,4,4,
12,12,4,24,36,12,36,36,1,9,9,9,4,6,3,12,12,12,12,9,9,4,4,4,1,1,1,1,3,3,4,3,3,
3,3,1,1],[1,117,1,12,12,24,27,162,9,36,48,36,36,36,36,108,144,108,216,9,81,81,
4,12,12,12,12,24,27,54,108,108,216,81,12,12,24,36,12,36,48,36,36,12,12,36,36,
36,36,9,9,9,9,27,27,1,4,8,36,36,36,36,36,27,27,27,27,1,12,4,12,24,12,9,4,3,6,
12,9,4,4,4,1,3,3,4,3,1,1],[1,117,1,12,24,12,27,162,9,48,36,36,36,144,36,216,
36,108,108,9,81,81,4,12,12,12,12,24,27,54,216,108,108,81,12,12,24,12,36,36,12,
36,12,36,48,36,36,36,36,9,9,9,9,27,27,1,4,8,36,36,36,36,36,27,27,27,27,1,4,12,
12,24,12,9,4,3,6,12,9,4,4,4,1,3,3,4,3,1,1],[1,117,1,24,12,12,72,27,162,9,36,
36,48,36,36,144,108,36,216,108,216,9,81,81,4,4,9,4,4,12,24,24,24,48,27,54,108,
216,108,81,1,12,12,12,24,48,12,12,36,12,12,36,12,36,108,36,72,36,216,9,9,9,9,
27,27,1,4,8,12,12,12,3,36,18,36,36,36,36,27,27,27,27,1,12,4,4,12,4,4,24,36,12,
36,12,12,12,36,1,9,9,9,4,3,6,12,12,12,12,9,9,4,4,4,1,1,1,1,3,3,4,3,3,3,3,1,
1],[1,81,13,21,21,21,126,54,81,108,108,108,108,81,81,81,648,13,3,7,7,7,9,12,
12,18,42,63,36,54,18,126,72,18,18,18,108,36,9,9,36,54,72,72,27,27,27,27,27,
108,27,27,108,27,108,27,27,27,108,108,27,81,648,1,1,1,1,7,6,6,6,8,8,14,8,12,
12,21,12,12,21,12,21,12,6,6,6,6,6,24,6,6,24,6,6,6,6,6,24,9,9,9,18,18,18,9,9,9,
9,9,36,9,9,9,9,9,9,9,9,54,54,54,18,72,72,18,18,18,72,18,18,72,108,27,27,108,
27,108,108,108,27,108,1,4,4,4,7,2,2,2,8,3,3,3,6,6,6,6,6,6,24,6,12,12,12,12,12,
12,12,12,9,9,9,9,9,72,18,18,18,18,1,1,1,1,1,2,2,2,2,1,3,3,3,3,1,1],[1,81,13,
21,21,21,126,54,81,27,27,27,108,81,81,81,81,81,81,162,162,13,3,7,7,7,9,12,12,
18,42,63,36,54,18,126,72,18,18,18,108,36,9,9,9,9,9,18,18,18,18,27,27,27,27,27,
27,27,27,27,27,108,27,27,27,27,27,81,81,81,81,81,162,162,1,1,1,1,7,6,6,6,8,8,
14,8,12,12,21,12,12,21,12,21,12,6,6,6,6,6,24,6,6,24,6,6,6,6,6,24,9,9,9,18,18,
18,9,3,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,27,27,27,27,27,27,27,27,27,27,1,4,4,4,7,2,2,2,8,3,3,3,6,6,6,6,
6,6,24,6,12,12,12,12,3,3,3,3,3,3,3,3,6,6,6,6,9,9,9,9,9,18,18,18,18,1,1,1,1,1,
2,2,2,2,3,3,3,3,3,6,6,6,6,1,1],[1,81,13,21,21,21,126,54,81,108,81,81,324,81,
324,324,13,3,7,7,7,9,12,12,18,42,63,36,54,18,126,72,18,18,18,108,36,9,27,36,
36,36,27,108,27,108,108,27,162,81,81,81,324,81,324,1,1,1,1,7,6,6,6,8,8,14,8,
12,12,21,12,12,21,12,21,12,6,6,6,6,6,24,6,6,24,6,6,6,6,6,24,9,9,9,18,18,18,9,
12,36,9,36,36,9,9,9,36,9,36,9,9,9,9,36,9,9,9,27,27,27,27,1,4,4,4,7,2,2,2,8,3,
3,3,6,6,6,6,6,6,24,6,12,12,12,12,1,3,3,12,3,9,9,9,9,9,9,9,1,1,1,1,1,2,2,2,2,1,
1,1,1,3,1,1],[1,81,13,12,12,12,72,243,81,108,324,324,324,81,13,3,4,4,4,12,12,
18,24,36,36,72,243,9,27,36,36,36,108,108,108,162,324,324,81,1,4,8,12,12,12,12,
12,12,24,24,24,27,81,162,9,12,36,36,36,36,36,36,9,27,1,4,8,27,1,12,9,1,3,1,1,
3,1],[1,81,4,12,48,12,72,243,108,324,324,324,324,81,1,3,16,4,4,12,12,18,24,36,
36,72,108,9,27,36,36,36,108,108,108,162,324,324,324,81,4,4,8,12,12,12,12,12,
12,24,24,24,24,27,81,162,12,36,36,36,36,36,36,36,9,27,1,4,8,12,24,1,12,36,9,4,
3,4,1,1],[1,81,13,12,12,12,72,243,81,108,108,108,108,648,81,13,4,4,4,9,24,36,
54,72,72,108,243,9,9,36,54,72,72,108,108,108,108,108,648,81,1,1,1,1,4,6,6,6,8,
8,8,8,12,12,12,12,12,12,27,27,54,9,9,9,9,36,54,54,54,72,72,72,72,108,108,108,
108,108,108,9,9,4,4,4,4,24,27,27,27,27,54,54,54,12,12,12,12,72,9,9,9,9,1,1,3,
1],[1,81,4,48,12,12,72,216,243,108,324,324,324,324,81,1,3,4,16,4,36,12,12,18,
24,36,36,72,72,72,144,9,27,36,36,36,108,108,108,162,324,324,324,81,4,4,8,12,
12,12,12,12,12,24,24,24,24,36,36,36,72,72,72,27,81,162,12,36,36,36,36,36,36,
36,108,108,108,9,27,1,4,8,12,24,1,12,36,9,27,4,3,4,1,1],[1,81,4,12,12,48,72,
243,108,324,324,324,324,81,1,3,4,4,16,12,12,18,24,36,36,72,108,9,27,36,36,36,
108,108,108,162,324,324,324,81,4,4,8,12,12,12,12,12,12,24,24,24,24,27,81,162,
12,36,36,36,36,36,36,36,9,27,1,4,8,12,24,1,12,36,9,4,3,4,1,1],[1,189,13,12,12,
12,72,81,486,189,108,108,108,252,108,108,108,108,108,108,648,243,13,4,4,4,9,
24,36,54,72,72,108,81,486,324,324,324,9,21,12,12,36,12,54,72,72,36,108,108,36,
252,36,108,108,108,108,108,108,108,648,81,1,1,1,1,4,6,6,6,8,8,8,8,12,12,12,12,
12,12,9,9,18,162,54,108,108,108,108,108,9,21,9,9,4,12,12,36,12,12,12,12,12,12,
12,12,12,12,12,12,12,54,54,54,72,72,72,72,108,36,108,108,108,108,108,27,27,4,
4,4,4,24,18,9,9,9,9,18,18,18,18,18,18,36,36,36,36,36,36,36,4,4,12,12,12,12,4,
4,12,12,12,12,72,9,9,9,9,1,12,12,12,12,1,4,1,2,1],[1,81,13,12,12,12,72,81,81,
108,324,324,324,243,13,3,4,4,4,12,12,18,24,36,36,72,81,9,27,36,36,36,108,108,
108,162,324,324,81,1,4,8,12,12,12,12,12,12,24,24,24,9,27,54,9,12,36,36,36,36,
36,36,27,27,1,4,8,9,1,12,9,1,1,1,3,1,1],[1,81,13,12,12,12,72,81,81,108,108,
108,108,648,243,13,4,4,4,9,24,36,54,72,72,108,81,9,9,36,54,72,72,108,108,108,
108,108,648,81,1,1,1,1,4,6,6,6,8,8,8,8,12,12,12,12,12,12,9,9,18,9,9,9,9,36,54,
54,54,72,72,72,72,108,108,108,108,108,108,27,27,54,4,4,4,4,24,9,9,9,9,18,18,
18,12,12,12,12,72,9,9,9,9,18,18,18,1,1,1,1],[1,189,13,12,12,12,72,81,486,189,
36,36,36,252,108,108,324,108,324,324,216,243,13,3,4,4,4,12,12,18,24,36,36,72,
81,486,324,324,324,21,27,36,36,12,36,24,36,36,36,36,36,36,108,36,36,36,36,252,
108,36,36,36,36,36,162,108,324,324,216,81,1,4,8,12,12,12,12,12,12,24,24,24,9,
27,162,54,54,54,54,108,108,108,108,108,108,108,21,12,36,36,36,12,12,12,12,36,
12,12,36,36,12,24,24,24,24,36,36,36,36,36,36,36,27,27,54,1,4,8,18,9,36,36,36,
36,36,36,36,1,4,12,12,12,24,9,1,1,6,12,1,4,3,1,2,1],[1,243,13,21,21,21,126,54,
729,243,135,135,135,324,243,243,405,243,405,405,162,810,13,3,7,7,7,9,12,12,18,
42,63,36,54,18,126,72,18,18,18,108,36,729,729,729,729,9,27,27,45,45,45,45,54,
72,18,18,90,18,54,54,54,54,81,135,108,54,54,135,81,324,108,81,54,54,135,108,
54,162,162,162,243,324,162,405,162,810,1,1,1,1,7,6,6,6,8,8,14,8,12,12,21,12,
12,21,12,21,12,6,6,6,6,6,24,6,6,24,6,6,6,6,6,24,9,9,9,18,18,18,243,81,81,81,
81,243,243,162,162,243,162,162,243,9,27,9,9,15,36,18,45,9,36,45,18,18,27,18,
18,9,36,18,27,9,45,18,18,18,18,45,18,27,18,54,54,54,36,18,18,90,72,18,36,36,
18,18,18,72,18,18,18,18,18,18,18,18,18,72,135,27,27,81,54,27,108,27,54,27,135,
135,108,54,27,108,1,4,4,4,7,2,2,2,8,3,3,3,6,6,6,6,6,6,24,6,12,12,12,12,27,27,
27,27,54,54,54,54,81,81,54,27,54,81,81,27,27,1,6,6,15,12,3,12,12,15,6,3,3,6,6,
6,6,18,18,18,9,9,9,9,9,27,18,9,18,72,18,36,18,18,18,18,1,1,1,1,1,2,2,2,2,9,9,
18,9,9,27,18,18,1,1,1,1,1,6,3,6,3,3,3,3,3,6,6,6,6,1,3,3,3,3,3,1,1,1,1],[1,189,
13,12,12,12,72,243,486,189,108,108,108,252,108,108,108,108,108,108,648,81,243,
243,13,4,4,4,9,24,36,54,72,72,108,243,486,324,324,324,243,9,21,12,12,36,12,54,
72,72,36,108,108,36,252,36,108,108,108,108,108,108,108,648,81,81,81,1,1,1,1,4,
6,6,6,8,8,8,8,12,12,12,12,12,12,27,27,54,162,54,108,108,108,108,108,81,9,21,9,
9,4,12,12,36,12,12,12,12,12,12,12,12,12,12,12,12,12,54,54,54,72,72,72,72,108,
36,108,108,108,108,108,9,9,27,27,27,27,54,4,4,4,4,24,18,27,27,27,27,18,54,18,
54,54,18,36,36,36,36,36,36,36,27,27,4,4,12,12,12,12,4,4,12,12,12,12,72,9,9,9,
9,9,9,9,9,9,9,9,9,18,18,18,1,12,12,12,12,9,9,9,9,1,4,3,2,1,1,1,1],[1,189,4,12,
12,48,72,243,486,108,36,144,36,144,108,108,324,432,324,432,216,81,243,243,1,3,
4,4,16,12,12,18,24,36,36,72,108,324,324,324,648,243,9,27,36,48,12,36,24,36,36,
36,36,144,36,108,36,36,36,36,36,108,36,36,36,144,36,36,162,324,108,324,108,
324,216,81,4,4,8,12,12,12,12,12,12,24,24,24,24,27,81,54,54,54,162,54,216,108,
108,108,108,108,108,108,81,12,12,36,12,36,12,36,12,12,36,12,36,36,48,12,12,24,
24,24,24,24,36,36,36,36,36,36,36,9,27,27,27,27,27,54,1,4,8,12,24,36,36,36,36,
36,36,36,36,27,27,1,4,12,4,12,12,12,36,24,24,9,4,3,6,12,12,9,4,4,4,1,3,3,4,3,
1,1],[1,189,13,12,12,12,72,243,486,189,36,36,36,252,108,108,324,108,324,324,
216,81,243,243,13,3,4,4,4,12,12,18,24,36,36,72,243,486,324,324,324,243,21,27,
36,36,12,36,24,36,36,36,36,36,36,108,36,36,36,36,252,108,36,36,36,36,36,162,
108,324,324,216,81,81,81,1,4,8,12,12,12,12,12,12,24,24,24,27,81,162,54,54,162,
54,108,108,108,108,108,108,108,81,21,12,36,36,36,12,12,12,12,36,12,12,36,36,
12,24,24,24,24,36,36,36,36,36,36,36,9,27,27,27,27,27,54,1,4,8,18,27,36,36,36,
36,36,36,36,27,27,1,4,12,12,12,24,9,9,9,1,3,6,12,9,1,4,1,3,3,3,2,3,1,1,1,1],[
1,189,4,48,12,12,72,216,243,486,108,36,36,144,144,108,432,324,108,432,324,216,
216,81,243,243,1,3,4,16,4,36,12,12,18,24,36,36,72,72,72,144,324,324,648,324,
243,12,9,27,36,36,12,48,24,24,36,36,36,36,36,36,108,36,36,144,36,36,108,144,
36,36,36,36,162,432,108,324,324,216,216,81,4,4,8,12,12,12,12,12,12,24,24,24,
24,36,36,36,72,72,72,27,81,54,54,54,162,108,54,108,216,108,108,108,108,108,81,
12,12,36,48,12,36,12,12,12,36,12,12,36,12,12,12,12,36,36,24,24,24,24,24,24,24,
24,36,36,108,36,36,36,36,108,36,108,36,36,36,9,27,27,27,27,27,54,1,4,8,12,24,
36,36,36,36,36,36,36,36,36,36,36,27,27,1,12,4,4,12,12,36,12,24,24,9,27,4,3,6,
12,12,9,9,4,4,4,1,3,3,4,3,1,1],[1,189,4,12,48,12,72,243,486,108,144,36,36,144,
432,108,432,108,324,324,216,81,243,243,1,3,16,4,4,12,12,18,24,36,36,72,108,
324,648,324,324,243,9,27,48,36,12,36,24,36,36,36,36,36,144,108,36,36,36,144,
36,108,36,36,36,36,36,36,162,108,108,324,324,324,216,81,4,4,8,12,12,12,12,12,
12,24,24,24,24,27,81,54,54,54,162,54,108,108,108,108,216,108,108,108,81,12,12,
36,36,12,12,36,12,12,36,12,12,48,36,12,36,24,24,24,24,24,36,36,36,36,36,36,36,
9,27,27,27,27,27,54,1,4,8,12,24,36,36,36,36,36,36,36,36,27,27,1,12,4,4,12,36,
12,12,24,24,9,4,3,6,12,12,9,4,4,4,1,3,3,4,3,1,1],[1,117,52,312,351,234,156,
468,156,312,117,351,351,13,13,104,234,468,144,351,13,13,156,156,312,117,234,
52,39,39,78,78,144,117,52,52,52,13,13,39,39,39,39,52,39,39,13,13,13,13,1],[1,
81,13,48,48,48,288,216,243,81,108,324,324,324,324,324,324,81,13,3,16,16,16,36,
12,12,18,96,144,36,216,72,288,288,72,72,72,432,144,243,9,27,36,36,36,108,108,
108,108,108,108,162,324,324,324,324,324,324,81,81,81,81,1,4,4,4,16,24,24,24,
32,32,32,32,12,12,48,12,48,48,48,48,48,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,36,36,36,72,72,72,27,81,162,9,12,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,108,108,108,108,9,27,81,1,16,16,16,16,8,8,8,8,12,12,12,24,24,
24,24,24,24,96,24,48,48,48,48,27,1,12,12,12,12,36,36,36,36,36,36,36,9,9,9,9,
27,1,4,4,4,4,8,8,8,8,3,1,4,4,4,12,1,9,4,3,4,1,1,1,1,1],[1,81,13,48,48,48,288,
216,243,81,108,108,108,108,324,324,324,648,81,13,12,16,16,16,9,48,48,72,96,
144,144,54,72,288,72,72,72,72,108,144,243,9,9,36,54,72,72,108,108,108,108,108,
108,108,108,108,108,108,108,108,108,108,108,108,324,648,81,81,81,81,1,1,1,1,
16,6,6,6,8,8,32,8,48,48,48,48,12,48,12,48,12,24,24,24,24,24,96,24,24,96,24,24,
24,24,24,96,36,36,36,72,72,72,27,27,54,9,9,9,9,36,36,36,36,36,36,36,36,36,36,
54,54,54,72,72,72,72,72,72,72,72,72,72,108,108,108,108,108,108,108,108,108,
108,9,9,81,4,4,4,4,16,8,8,8,32,12,12,12,24,24,24,24,24,24,24,24,48,48,48,48,
27,27,27,27,54,54,54,12,12,12,12,36,36,36,36,36,72,72,72,72,72,9,9,9,9,9,9,9,
9,9,9,4,1,4,4,4,8,8,8,8,1,12,12,12,12,9,9,9,9,4,3,4,1,1],[1,405,13,48,48,48,
288,216,243,1458,405,216,216,216,540,648,648,1296,648,1296,1296,648,1296,81,
729,729,13,12,16,16,16,9,48,48,72,96,144,144,54,72,288,72,72,72,72,108,144,
243,1458,1944,1944,1944,729,9,45,108,144,144,72,144,54,72,72,72,144,72,216,
216,216,216,216,216,432,216,216,216,216,540,432,216,216,216,216,108,216,648,
324,324,648,1296,324,1296,648,1296,81,81,81,81,243,243,1,1,1,1,16,6,6,6,8,8,
32,8,48,48,48,48,12,48,12,48,12,24,24,24,24,24,96,24,24,96,24,24,24,24,24,96,
36,36,36,72,72,72,27,27,54,486,324,324,162,324,648,648,648,648,648,324,648,
648,243,243,243,243,9,45,9,9,48,144,36,144,36,144,72,36,72,72,36,72,36,144,72,
72,36,144,36,36,36,36,144,36,72,36,54,54,54,144,72,72,144,72,72,144,144,72,72,
72,72,72,72,72,72,72,72,72,72,72,72,216,108,108,216,216,108,108,108,216,108,
216,216,108,216,108,108,9,9,81,81,81,81,81,162,4,4,4,4,16,8,8,8,32,12,12,12,
24,24,24,24,24,24,24,24,48,48,48,48,54,27,27,27,27,54,54,54,54,54,54,216,216,
108,108,216,216,216,108,108,216,216,108,108,81,81,81,4,12,12,24,12,12,12,12,
48,12,12,12,24,24,24,24,72,36,36,36,36,36,36,36,72,36,36,72,72,72,144,72,72,
72,72,9,9,9,9,9,9,9,9,9,9,27,27,27,27,27,27,27,27,54,54,54,4,1,4,4,4,8,8,8,8,
36,36,36,36,36,72,36,36,27,27,27,27,27,27,27,27,27,27,4,1,4,4,4,24,12,12,12,
12,12,12,12,24,24,24,24,9,9,9,9,4,3,12,6,12,12,12,9,9,9,9,4,4,4,1,3,3,4,3,1,
1],[1,405,13,48,48,48,288,216,243,1458,405,432,432,432,540,648,648,648,648,
648,648,648,2592,81,729,729,13,3,16,16,16,36,12,12,18,96,144,36,216,72,288,
288,72,72,72,432,144,243,1458,1944,1944,1944,729,36,45,27,72,72,144,72,216,
288,72,72,288,72,108,108,108,108,216,432,108,108,108,432,216,540,108,216,108,
108,432,432,108,162,648,648,648,324,648,648,648,2592,81,81,81,81,243,243,1,4,
4,4,16,24,24,24,32,32,32,32,12,12,48,12,48,48,48,48,48,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,36,36,36,72,72,72,27,81,486,162,162,162,324,162,648,
648,324,324,648,648,324,648,243,243,243,243,36,45,36,36,24,36,72,72,36,36,144,
72,36,72,72,36,36,36,36,72,36,72,72,72,72,72,72,72,72,72,216,216,216,72,72,72,
288,288,72,72,72,72,72,72,288,72,72,72,72,72,72,72,72,72,288,432,108,108,216,
108,108,432,108,108,108,432,432,432,108,108,432,9,27,81,81,81,81,81,162,1,16,
16,16,16,8,8,8,8,12,12,12,24,24,24,24,24,24,96,24,48,48,48,48,54,27,108,108,
108,108,108,216,216,216,216,108,108,216,216,216,108,108,81,81,81,1,24,24,48,
48,12,48,48,24,24,12,12,24,24,24,24,36,72,72,36,36,36,36,36,72,72,36,72,288,
72,72,72,72,72,72,9,9,9,9,27,27,27,1,4,4,4,4,8,8,8,8,3,18,36,72,36,36,72,72,
72,27,27,27,27,27,1,4,4,4,4,12,12,24,12,12,12,12,12,24,24,24,24,1,9,9,9,4,3,6,
12,12,12,12,9,9,4,4,4,1,1,1,1,3,3,4,3,3,3,3,1,1],[1,1053,13,156,156,156,936,
2808,3159,6318,1053,1404,1404,1404,1404,4212,4212,4212,4212,4212,4212,8424,
8424,1053,9477,9477,13,39,52,52,52,117,156,156,234,312,468,468,702,936,936,
936,936,936,936,1404,1872,3159,6318,6318,12636,12636,12636,3888,9477,117,117,
351,468,468,468,468,702,936,936,936,936,936,1404,1404,1404,1404,1404,1404,
1404,1404,1404,1404,1404,1404,1404,1404,1404,1404,1404,1404,1404,2106,4212,
4212,4212,4212,4212,4212,8424,8424,1053,1053,1053,1053,3159,3159,6318,1,13,13,
13,52,78,78,78,104,104,104,104,156,156,156,156,156,156,156,156,156,312,312,
312,312,312,312,312,312,312,312,312,312,312,312,312,468,468,468,936,936,936,
351,351,702,1053,2106,2106,2106,2106,2106,2106,4212,4212,4212,4212,4212,4212,
4212,4212,3888,3159,3159,3159,3159,117,117,117,117,156,468,468,468,468,468,
468,468,468,468,468,468,468,468,468,468,468,468,468,468,468,468,468,468,468,
468,702,702,702,936,936,936,936,936,936,936,936,936,936,936,936,936,936,936,
936,936,936,936,936,936,936,1404,1404,1404,1404,1404,1404,1404,1404,1404,1404,
1404,1404,1404,1404,1404,1404,117,117,351,1053,1053,1053,1053,1053,1053,1053,
2106,2106,13,52,52,52,52,104,104,104,104,156,156,156,312,312,312,312,312,312,
312,312,624,624,624,624,234,351,351,351,351,702,702,702,702,702,702,1404,1404,
1404,1404,1404,1404,1404,1404,1404,1404,1404,1404,1404,1053,1053,1053,1053,13,
156,156,156,156,156,156,156,156,156,156,156,312,312,312,312,468,468,468,468,
468,468,468,468,468,468,468,936,936,936,936,936,936,936,936,117,117,117,117,
117,117,117,117,117,117,351,351,351,351,351,351,351,351,351,702,702,702,13,13,
52,52,52,104,104,104,104,39,234,234,468,468,468,468,468,468,468,144,351,351,
351,351,351,351,351,351,351,351,351,13,13,52,52,52,156,156,156,156,156,156,
156,156,312,312,312,312,13,117,117,117,117,117,117,234,52,39,39,78,78,156,156,
156,144,117,117,117,117,117,52,52,52,13,13,13,13,13,39,39,39,39,52,39,39,39,
39,39,27,13,13,13,13,1]],
[1,2,3,3,3,3,3,3,4,4,6,6,6,6,6,6,6,6,6,6,6,6,6,8,8,8,9,9,9,9,9,9,9,9,9,9,9,9,
9,9,9,9,9,9,9,9,9,12,12,12,12,12,12,13,16,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,24,24,24,24,24,24,24,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,
27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,39,48,48,48,48,54,54,54,
54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,
54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,
54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,72,72,72,72,72,72,72,72,72,72,
72,72,81,81,81,81,81,81,81,81,81,81,81,81,81,81,81,81,81,81,81,81,81,81,81,81,
108,108,108,108,108,108,108,108,108,108,108,108,108,108,108,108,108,108,108,
108,108,108,108,108,144,144,144,144,162,162,162,162,162,162,162,162,162,162,
162,162,162,162,162,162,162,162,162,162,162,162,162,162,162,162,162,162,162,
162,162,162,162,162,162,216,216,216,216,216,216,216,216,216,216,216,216,216,
216,216,216,216,216,216,216,216,216,243,243,243,243,243,243,243,243,243,324,
324,324,324,324,324,324,324,324,324,351,432,432,432,432,432,432,432,432,432,
432,432,486,486,486,486,486,486,486,486,486,486,486,486,486,486,486,486,486,
648,648,648,648,648,648,648,648,729,972,972,972,972,972,972,972,1053,1296,
1296,1296,1296,1296,1458,1458,1458,1944,1944,1944,1944,1944,1944,1944,1944,
1944,2916,3888,3888,3888,3888,3888,5616,5832,5832,11664,11664,151632],
[454,300,452,423,422,424,332,207,168,103,300,288,293,287,292,163,163,161,163,
154,161,95,96,300,55,55,453,447,443,443,443,430,423,423,415,393,372,372,359,
333,334,337,331,335,315,290,269,168,103,102,51,52,53,164,55,430,427,389,378,
374,372,379,359,337,333,331,334,335,288,287,287,293,292,288,294,288,293,287,
292,292,298,292,287,293,293,290,288,250,154,161,163,159,161,163,95,96,300,300,
300,300,168,168,103,454,452,452,452,443,441,441,441,431,431,431,431,424,423,
421,422,421,421,421,421,421,407,401,408,398,406,408,406,405,407,404,408,406,
407,405,405,376,376,376,337,337,337,383,382,359,302,246,248,250,250,243,250,
156,157,158,159,160,161,162,163,164,165,166,167,168,430,427,429,428,421,373,
379,374,376,376,372,379,372,377,378,372,376,375,372,377,376,379,378,378,374,
374,378,379,377,374,359,358,360,334,333,335,334,338,335,334,334,331,331,337,
337,337,331,331,335,333,335,333,333,337,336,296,299,298,292,288,294,289,294,
293,299,297,291,295,287,298,290,427,430,389,301,301,303,303,302,302,300,250,
251,453,443,443,443,443,432,432,432,432,424,422,423,403,406,408,407,405,402,
393,400,367,369,366,368,416,382,387,383,385,354,359,356,358,360,351,287,288,
289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,453,421,421,420,
423,424,422,424,421,421,422,423,407,408,406,405,372,379,374,375,375,373,376,
373,377,378,376,331,332,333,334,335,336,337,338,430,427,430,427,428,427,427,
430,429,430,385,387,385,383,382,387,389,383,382,358,359,360,453,452,443,443,
443,432,432,432,432,446,416,415,373,374,375,376,377,378,379,425,381,382,383,
384,385,386,387,388,389,390,391,453,452,443,443,443,420,423,421,422,422,423,
424,424,405,406,407,408,453,427,429,426,430,428,426,416,443,444,446,442,439,
422,423,424,425,426,427,428,429,430,443,443,443,453,453,452,453,453,444,446,
444,446,443,444,445,446,447,448,449,453,452,452,453,454],
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1,1,1,1,1,1,1,1,1,1,10,3,5,4,6,1,9,32,27,28,29,31,37,30,39,42,40,43,41,44,5,4,
4,6,3,5,33,5,6,4,3,3,34,3,4,6,6,46,5,35,4,5,1,38,6,37,8,7,2,24,24,24,3,11,49,
1,1,3,3,1,1,3,3,1,3,1,3,1,1,3,1,3,3,1,3,3,3,3,3,1,3,3,3,3,3,3,3,3,1,1,3,4,4,4,
4,4,4,32,27,39,28,27,28,35,35,32,35,31,30,33,38,29,46,34,37,54,98,100,99,48,
32,27,107,106,108,116,30,31,32,117,37,30,37,27,29,37,32,119,37,27,32,30,29,29,
31,31,29,30,27,31,39,111,110,41,40,44,41,113,44,41,41,43,43,42,42,42,43,43,44,
40,44,40,40,42,115,123,140,34,3,5,142,124,33,6,28,121,118,120,4,141,46,57,56,
58,56,32,27,57,28,58,24,88,39,1,3,3,3,3,3,3,3,3,29,31,4,29,27,30,31,29,4,3,31,
29,31,27,30,104,27,107,32,106,107,39,105,111,110,106,117,116,124,122,118,108,
119,142,120,123,121,141,140,249,146,149,147,252,108,108,256,253,261,254,255,
108,108,262,263,267,266,265,268,37,30,31,106,119,116,117,107,27,29,32,43,270,
40,41,44,115,42,113,56,57,241,240,172,240,240,241,171,241,106,107,172,105,104,
171,242,169,170,111,109,110,27,3,30,31,29,27,29,30,31,252,276,252,261,254,262,
263,256,255,253,104,341,277,279,348,280,344,278,346,355,342,345,252,362,252,
252,252,256,263,108,254,262,253,255,261,268,265,267,266,304,240,347,252,241,
343,304,371,108,362,252,361,362,364,363,365,380,370,410,414,411,413,362,417,
252,304,409,393,409,409,393,361,362,392,417,418,438,419,437,435,449,409,436,
451,450,454],
[( 1,27,14)( 2,10,21)( 3,32, 6)( 4,11,38)( 8,15,25)(12,22,29)(13,20,40)
(16,34,17)(19,28,36)(23,24,31)(26,39,33)(30,37,35),( 1,29,32,10,25,23,39, 5,
15,34,13,24,30)( 2,38, 3, 9,21,17,40, 4, 6,31,22,33, 8)( 7,19,16,20,14,26,11,
12,35,36,28,27,37)],
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89,186],[1,3,7,10,13,15,30,38,39,52,72,187],[1,4,6,12,31,33,81,188],[1,3,5,11,
40,50,70,189],[1,2,5,14,36,44,94,190],[1,3,7,11,12,37,50,88,191],[1,3,6,13,14,
42,51,84,192],[1,2,5,6,12,44,46,47,75,193],[1,2,15,16,49,57,194],[1,2,4,6,18,
20,25,31,41,46,65,105,114,117,195],[1,2,3,15,21,22,39,49,67,106,123,196],[1,2,
14,16,36,57,197],[1,2,9,16,48,57,107,198],[1,3,4,12,18,19,24,28,43,59,103,113,
116,199],[1,2,3,9,16,22,26,48,55,107,110,200],[1,3,4,12,18,19,24,28,33,37,59,
96,101,113,201],[1,3,4,6,17,20,23,41,42,62,95,105,112,202],[1,2,4,12,19,25,28,
33,47,63,98,101,103,203],[1,3,4,11,18,19,24,35,59,108,204],[1,3,4,7,18,19,24,
30,59,99,205],[1,2,3,4,12,17,22,24,25,28,33,37,43,47,66,96,98,116,118,121,
206],[1,3,4,11,19,20,24,50,69,108,207],[1,3,4,6,17,18,23,32,41,54,95,114,120,
208],[1,3,4,14,17,18,23,45,54,97,209],[1,2,3,4,6,17,22,24,25,31,32,41,42,46,
66,112,115,117,119,120,210],[1,2,14,21,36,58,211],[1,2,15,21,49,58,123,212],[
1,3,4,6,17,20,23,31,32,41,62,102,105,120,213],[1,2,9,16,48,68,107,214],[1,2,
11,21,27,58,215],[1,3,4,12,19,20,24,28,33,43,69,100,101,116,216],[1,2,4,14,23,
25,36,56,97,217],[1,2,9,21,48,58,218],[1,3,4,14,17,20,23,51,62,97,219],[1,3,4,
12,19,20,24,28,37,69,96,100,103,220],[1,2,4,12,18,20,25,28,33,47,65,98,100,
113,221],[1,2,11,16,27,57,222],[1,2,4,6,23,25,31,41,46,56,95,102,117,223],[1,
2,4,11,19,25,27,63,108,224],[1,3,4,13,17,18,23,52,54,111,225],[1,3,4,6,17,18,
23,31,41,42,54,102,112,114,226],[1,2,15,21,49,61,123,227],[1,5,6,10,76,78,
228],[1,5,7,11,70,77,90,229],[1,5,9,82,91,230],[1,5,7,11,12,70,77,79,88,231],[
1,5,6,12,75,76,81,232],[1,5,6,13,14,76,84,89,94,233],[1,5,8,15,82,85,92,234],[
1,5,6,8,15,76,85,92,235],[1,5,13,14,82,89,94,236],[1,5,6,76,83,237],[1,5,12,
71,79,238],[1,5,8,82,93,239],[1,5,6,8,76,93,240],[1,5,7,8,10,13,77,85,87,89,
241],[1,5,6,12,75,76,79,82,90,242],[1,5,10,12,78,79,243],[1,5,7,8,10,13,73,77,
85,87,89,244],[1,5,12,14,79,94,245],[1,5,9,11,14,15,70,80,91,92,94,246],[1,5,
82,83,247],[1,5,6,9,10,76,87,91,248],[1,5,8,9,11,13,70,85,89,91,249],[1,5,8,
10,11,13,70,85,87,89,250],[1,5,6,12,75,79,81,251],[1,5,71,90,252],[1,5,10,11,
13,15,70,87,89,92,253],[1,5,7,11,70,77,82,254],[1,5,7,10,13,15,72,77,87,89,92,
255],[1,5,8,12,15,79,85,92,256],[1,5,10,78,82,87,257],[1,5,15,90,92,258],[1,5,
71,82,259],[1,5,7,10,14,15,77,87,92,94,260],[1,5,6,7,76,77,261],[1,5,6,11,70,
76,262],[1,5,7,8,9,13,77,85,86,89,91,263],[1,5,9,10,12,79,87,91,264],[1,5,12,
13,79,89,265],[1,5,12,79,83,266],[1,5,7,8,9,14,77,85,91,94,267],[1,5,7,9,13,
15,77,89,91,92,268],[1,5,7,8,10,13,77,85,87,89,269],[1,5,6,71,76,270],[1,5,8,
10,11,14,70,74,85,87,94,271],[1,5,8,85,90,93,272],[1,5,10,78,90,273],[1,5,8,
12,79,93,274],[1,5,9,10,87,90,91,275],[1,5,13,14,89,90,94,276],[1,5,7,8,10,14,
77,85,87,94,277],[1,5,83,90,278],[1,2,4,16,19,21,23,25,53,56,57,58,60,63,64,
126,128,134,279],[1,2,4,16,19,21,23,25,53,56,60,61,63,64,68,126,133,135,280],[
1,2,4,16,18,20,21,25,53,57,61,64,65,134,135,136,281],[1,2,3,4,16,17,18,19,20,
21,22,23,24,25,53,54,55,56,59,60,62,63,64,65,66,67,69,124,126,131,132,136,
282],[1,2,3,4,16,17,21,22,24,25,53,55,57,64,66,67,68,124,127,129,133,134,
283],[1,2,4,16,18,20,21,25,53,58,60,65,68,128,133,136,284],[1,2,3,4,16,17,21,
22,24,25,53,55,58,60,61,66,67,124,125,128,130,135,285],[1,4,6,12,23,28,31,41,
81,95,102,137,151,286],[1,4,6,12,23,31,33,41,81,102,151,188,287],[1,2,3,5,6,
12,22,32,37,42,43,44,46,47,75,115,121,139,171,193,288],[1,2,3,6,12,22,37,43,
46,47,81,121,144,173,289],[1,2,3,6,13,14,22,32,36,42,45,46,51,52,84,109,115,
138,177,192,290],[1,2,6,12,21,46,47,81,144,291],[1,2,6,12,16,46,47,81,144,
292],[1,4,6,13,14,23,41,84,95,97,111,293],[1,2,3,5,6,22,29,32,40,42,44,46,76,
115,122,152,159,161,294],[1,2,3,5,6,12,22,29,32,37,40,42,43,44,46,47,75,115,
121,122,168,182,193,295],[1,2,3,7,11,12,22,27,30,35,37,43,47,50,88,104,121,
160,174,191,296],[1,2,3,5,15,22,29,39,40,44,49,92,106,122,149,156,176,297],[1,
3,4,6,12,24,31,32,33,42,81,119,145,188,298],[1,2,4,6,12,25,28,31,33,41,46,47,
81,98,117,137,144,188,299],[1,4,6,12,18,28,41,81,113,114,137,300],[1,2,5,21,
44,90,183,301],[1,3,4,5,6,12,24,28,29,31,32,37,42,75,96,119,139,182,185,302],[
1,2,4,5,6,12,25,28,31,33,41,44,46,47,75,98,117,153,185,193,303],[1,2,3,5,22,
29,40,44,82,122,157,180,304],[1,2,3,5,12,22,29,37,40,43,44,47,79,121,122,154,
164,175,305],[1,2,3,6,12,22,32,42,46,47,81,115,144,145,306],[1,2,3,5,11,22,27,
29,35,40,44,50,70,104,122,148,169,189,307],[1,2,4,6,12,25,28,33,46,47,81,98,
140,144,308],[1,2,4,6,12,25,31,41,46,47,81,117,144,151,309],[1,2,3,5,9,22,26,
29,40,44,48,91,110,122,142,163,167,310],[1,2,3,5,22,29,40,44,90,122,170,183,
311],[1,3,4,6,12,17,28,32,41,42,81,112,120,137,145,312],[1,2,3,5,14,22,29,36,
40,44,45,51,94,109,122,162,178,190,313],[1,3,4,5,6,12,17,32,33,37,40,41,43,75,
118,120,139,153,168,314],[1,4,7,11,12,19,28,88,99,103,108,315],[1,4,6,12,20,
28,41,81,100,105,137,316],[1,2,5,16,44,82,157,317],[1,4,6,12,19,28,33,41,81,
101,103,137,140,318],[1,4,6,12,18,31,33,81,188,319],[1,3,4,6,12,24,28,37,41,
43,81,96,116,137,173,320],[1,3,4,5,6,12,24,28,31,32,40,42,43,75,116,119,168,
171,185,321],[1,4,6,12,19,28,31,33,81,101,140,188,322],[1,3,4,5,6,12,17,29,33,
37,41,42,43,75,112,118,153,171,182,323],[1,4,6,12,20,31,33,81,188,324],[1,2,3,
9,11,14,15,22,26,27,35,36,39,45,48,49,50,51,80,104,106,109,110,150,158,184,
325],[1,3,4,6,12,17,31,33,37,43,81,118,173,188,326],[1,2,4,15,16,21,25,49,53,
57,64,123,134,194,327],[1,2,3,4,12,17,18,19,20,22,24,25,28,33,37,43,47,59,63,
65,66,69,96,98,100,101,103,113,116,118,121,132,199,201,203,206,216,220,221,
328],[1,2,3,4,14,17,18,20,22,23,24,25,36,45,51,54,56,62,65,66,97,109,131,209,
217,219,329],[1,2,4,9,16,21,25,48,53,58,60,107,128,218,330],[1,2,3,9,21,22,26,
48,58,61,67,110,125,218,331],[1,2,3,11,16,22,27,35,50,55,57,68,104,129,222,
332],[1,2,3,15,16,22,39,49,55,57,68,106,129,194,333],[1,2,3,9,16,22,26,48,55,
57,68,107,110,129,198,200,214,334],[1,2,3,4,6,17,18,20,22,23,24,25,31,32,41,
42,46,54,56,62,65,66,95,102,105,112,114,115,117,119,120,131,195,202,208,210,
213,223,226,335],[1,2,3,4,11,17,18,19,20,22,24,25,27,35,50,59,63,65,66,69,104,
108,132,204,207,224,336],[1,2,3,11,21,22,27,35,50,58,61,67,104,125,215,337],[
1,2,3,15,21,22,39,49,58,61,67,106,123,125,196,212,227,338],[1,2,3,14,21,22,36,
45,51,58,61,67,109,125,211,339],[1,2,3,14,16,22,36,45,51,55,57,68,109,129,197,
340],[1,3,5,8,12,15,29,34,39,43,79,85,92,154,165,176,256,341],[1,3,5,8,15,29,
34,39,40,82,85,92,165,176,180,234,342],[1,2,5,9,44,48,82,91,157,167,230,343],[
1,3,5,7,8,9,14,26,29,30,34,45,77,85,91,94,142,162,165,166,267,344],[1,3,5,9,
10,26,29,38,40,87,90,91,142,147,170,275,345],[1,2,5,15,44,49,90,92,156,183,
258,346],[1,4,5,6,12,28,31,41,75,79,81,137,151,185,251,347],[1,2,5,6,8,15,44,
46,49,76,85,92,156,159,235,348],[1,3,5,6,12,29,37,40,42,75,76,79,82,90,161,
170,175,180,182,242,349],[1,3,5,7,8,10,13,29,30,34,38,52,73,77,85,87,89,143,
147,165,166,186,244,350],[1,2,5,6,12,44,46,47,75,76,79,82,90,157,159,164,183,
193,242,351],[1,3,5,6,8,15,39,40,42,76,85,92,149,161,235,352],[1,3,5,8,10,11,
14,29,34,35,38,45,70,74,85,87,94,147,155,162,165,169,271,353],[1,3,5,7,11,12,
29,30,35,43,70,77,79,88,154,160,166,169,231,354],[1,2,5,13,14,36,44,89,90,94,
183,190,276,355],[1,3,5,7,9,13,15,26,29,30,39,52,77,89,91,92,142,166,176,186,
268,356],[1,3,5,9,11,14,15,26,29,35,39,45,70,80,91,92,94,142,158,162,169,176,
246,357],[1,2,5,8,12,15,44,47,49,79,85,92,156,164,256,358],[1,3,5,8,15,29,39,
40,82,85,92,149,180,234,359],[1,2,5,9,10,12,44,47,48,79,87,91,164,167,264,
360],[1,3,5,13,14,29,40,45,52,82,89,94,162,180,186,236,361],[1,2,5,6,12,44,46,
47,75,79,81,144,164,193,251,362],[1,3,5,6,13,14,40,42,51,76,84,89,94,161,178,
192,233,363],[1,3,5,7,10,14,15,29,30,38,39,45,77,87,92,94,147,162,166,176,260,
364],[1,3,5,7,10,13,15,29,30,38,39,52,72,77,87,89,92,147,166,176,186,187,255,
365],[1,3,5,9,10,12,26,37,40,79,87,91,163,175,264,366],[1,4,5,6,12,31,33,41,
75,79,81,151,153,188,251,367],[1,3,5,7,8,9,13,26,29,30,34,52,77,85,86,89,91,
142,165,166,172,186,263,368],[1,3,5,6,7,29,30,32,76,77,152,166,261,369],[1,3,
5,13,14,29,40,51,89,90,94,170,178,276,370],[1,3,5,12,14,37,40,51,79,94,175,
178,245,371],[1,3,5,12,37,40,79,83,175,181,266,372],[1,3,5,29,40,83,90,170,
181,278,373],[1,2,5,8,15,44,49,82,85,92,156,157,234,374],[1,3,5,7,8,10,13,29,
30,34,38,52,77,85,87,89,147,165,166,186,241,375],[1,3,5,7,11,29,40,50,70,77,
82,180,189,254,376],[1,3,5,6,40,42,76,83,161,181,237,377],[1,3,5,7,8,10,14,29,
30,34,38,45,77,85,87,94,147,162,165,166,277,378],[1,3,5,8,29,34,40,82,93,146,
180,239,379],[1,2,5,7,11,27,44,70,77,90,148,183,229,380],[1,3,5,8,10,11,13,29,
34,35,38,52,70,85,87,89,147,165,169,186,250,381],[1,3,5,9,10,26,29,40,87,90,
91,163,170,275,382],[1,3,5,6,11,29,32,35,70,76,152,169,262,383],[1,3,5,8,12,
34,37,40,79,93,146,175,274,384],[1,3,5,29,40,71,82,179,180,259,385],[1,2,5,6,
9,10,44,46,48,76,87,91,159,167,248,386],[1,2,5,9,10,44,48,87,90,91,167,183,
275,387],[1,3,5,6,13,14,29,32,45,52,76,84,89,94,138,152,162,186,233,388],[1,3,
5,13,14,29,40,45,52,89,90,94,162,170,186,276,389],[1,2,5,7,11,12,27,44,47,70,
77,79,88,148,164,174,231,390],[1,2,5,6,12,44,46,47,75,76,81,144,159,193,232,
391],[1,3,5,29,40,82,83,180,181,247,392],[1,3,5,8,12,15,37,39,40,79,85,92,149,
175,256,393],[1,3,5,8,9,11,13,26,29,34,35,52,70,85,89,91,142,165,169,186,249,
394],[1,2,5,9,11,14,15,27,36,44,48,49,70,80,91,92,94,148,150,156,167,190,246,
395],[1,3,5,6,8,34,40,42,76,93,146,161,240,396],[1,3,5,10,11,13,15,29,35,38,
39,52,70,87,89,92,147,169,176,186,253,397],[1,3,5,7,11,29,30,35,40,70,77,82,
166,169,180,254,398],[1,3,5,12,14,29,43,45,79,94,154,162,245,399],[1,3,5,6,10,
38,40,42,76,78,141,161,228,400],[1,3,5,6,12,32,37,40,43,75,79,81,139,168,173,
175,251,401],[1,3,5,6,40,42,71,76,161,179,270,402],[1,3,5,6,12,29,32,40,43,75,
76,79,82,90,152,154,168,170,180,242,403],[1,3,5,13,14,29,40,51,82,89,94,178,
180,236,404],[1,3,5,7,8,10,13,29,30,34,38,52,77,85,87,89,147,165,166,186,269,
405],[1,2,5,6,13,14,36,44,46,76,84,89,94,159,177,190,233,406],[1,3,5,6,11,40,
42,50,70,76,161,189,262,407],[1,3,5,7,11,29,30,35,40,70,77,90,166,169,170,229,
408],[1,2,5,13,14,36,44,82,89,94,157,190,236,409],[1,4,5,6,12,28,31,33,75,76,
81,140,185,188,232,410],[1,3,5,9,26,29,40,82,91,142,163,180,230,411],[1,3,5,6,
9,10,26,40,42,76,87,91,161,163,248,412],[1,4,5,6,12,28,33,41,75,76,81,137,140,
153,232,413],[1,3,5,10,29,38,40,78,90,141,170,273,414],[1,3,5,8,29,34,40,85,
90,93,146,165,170,272,415],[1,3,5,6,8,15,29,32,34,39,76,85,92,152,165,176,235,
416],[1,3,5,12,37,40,71,79,175,179,238,417],[1,3,5,7,11,29,40,50,70,77,90,170,
189,229,418],[1,2,5,7,11,27,44,70,77,82,148,157,254,419],[1,2,5,6,11,27,44,46,
70,76,148,159,262,420],[1,3,5,10,29,38,40,78,82,87,141,147,180,257,421],[1,3,
5,9,11,14,15,26,39,40,50,51,70,80,91,92,94,149,163,178,184,189,246,422],[1,3,
5,12,13,29,43,52,79,89,154,186,265,423],[1,3,5,15,29,39,40,90,92,149,170,176,
258,424],[1,2,5,12,14,36,44,47,79,94,164,190,245,425],[1,3,5,6,9,10,26,29,32,
38,76,87,91,142,147,152,248,426],[1,3,5,6,12,32,40,42,43,75,76,81,145,161,168,
171,232,427],[1,3,5,6,12,29,32,37,42,75,76,81,139,145,152,182,232,428],[1,3,5,
9,10,12,26,29,38,43,79,87,91,142,147,154,264,429],[1,3,5,6,12,29,37,42,43,75,
79,81,154,171,173,182,251,430],[1,3,5,10,12,37,38,40,78,79,141,175,243,431],[
1,3,5,7,11,12,37,40,50,70,77,79,88,175,189,191,231,432],[1,3,5,29,40,71,90,
170,179,252,433],[1,2,3,4,16,17,18,19,20,21,22,23,24,25,53,54,55,56,57,58,59,
60,61,62,63,64,65,66,67,68,69,124,125,126,127,128,129,130,131,132,133,134,135,
136,279,280,281,282,283,284,285,434],[1,2,3,5,16,22,29,40,44,55,82,122,157,
180,304,317,435],[1,2,4,6,13,14,23,25,31,36,41,46,56,84,95,97,102,111,117,177,
217,223,293,436],[1,2,9,11,14,15,21,27,36,48,49,58,80,123,150,211,212,215,218,
437],[1,2,4,6,12,18,20,25,28,31,33,41,46,47,65,81,98,117,137,144,188,299,319,
324,438],[1,3,4,6,12,18,19,24,28,31,32,33,42,59,81,101,119,140,145,188,298,
319,322,439],[1,2,4,6,12,16,25,28,31,33,41,46,47,64,81,98,117,140,144,151,292,
308,309,440],[1,2,4,6,12,19,25,28,31,33,41,46,47,63,81,98,101,103,117,137,140,
144,188,203,299,308,318,322,441],[1,3,4,7,11,12,18,19,24,28,30,35,43,59,88,99,
103,108,113,116,160,199,204,205,315,442],[1,3,4,6,12,18,19,24,28,33,37,41,43,
59,81,96,101,103,113,114,116,137,140,173,199,201,300,318,320,443],[1,2,3,4,5,
6,12,17,22,24,25,28,29,31,32,33,37,40,41,42,43,44,46,47,66,75,96,98,112,115,
116,117,118,119,120,121,122,139,153,168,171,182,185,193,206,210,288,295,302,
303,314,321,323,444],[1,2,3,6,12,16,22,32,37,42,43,46,47,55,81,115,121,144,
145,173,289,292,306,445],[1,2,5,16,44,57,82,157,317,446],[1,2,9,11,14,15,16,
27,36,48,49,57,80,107,150,194,197,198,222,447],[1,2,4,6,12,23,25,28,31,33,41,
46,47,56,81,95,98,102,117,137,144,151,188,223,286,287,299,309,448],[1,2,4,6,
12,16,21,25,28,31,33,41,46,47,53,81,98,117,137,144,188,291,292,299,449],[1,2,
5,21,44,61,90,183,301,450],[1,3,4,6,12,17,20,23,31,33,37,41,43,62,81,102,118,
151,173,188,287,324,326,451],[1,3,4,6,13,14,17,18,23,32,41,45,52,54,84,95,97,
111,114,120,138,208,209,225,293,452],[1,2,5,16,44,68,82,157,317,453],[1,2,3,4,
6,12,17,22,24,25,28,31,33,37,41,43,46,47,66,81,96,98,116,117,118,121,137,144,
173,188,206,289,299,320,326,454],[1,2,4,6,12,18,20,25,28,31,33,41,46,47,65,81,
98,100,105,113,114,117,137,144,188,195,221,299,300,316,455],[1,2,5,21,44,58,
90,183,301,456],[1,2,4,7,11,12,19,25,27,28,33,47,63,88,98,99,101,103,108,174,
203,224,315,457],[1,3,4,7,11,12,19,20,24,28,37,50,69,88,96,99,100,103,108,191,
207,220,315,458],[1,2,4,6,12,21,25,28,31,33,41,46,47,60,81,98,117,140,144,151,
291,308,309,459],[1,2,3,4,6,12,17,22,24,25,28,31,32,33,41,42,46,47,66,81,98,
112,115,117,119,120,137,144,145,188,210,298,299,306,312,460],[1,3,4,6,12,17,
18,23,31,33,37,41,43,54,81,102,118,151,173,188,287,319,326,461],[1,3,4,6,12,
19,20,24,28,31,32,33,42,69,81,101,119,140,145,188,298,322,324,462],[1,2,3,5,
21,22,29,40,44,67,90,122,170,183,301,311,463],[1,3,4,6,13,14,17,20,23,41,42,
51,62,84,95,97,105,111,112,192,202,219,293,464],[1,3,4,6,12,19,20,24,28,33,37,
41,43,69,81,96,100,101,103,105,116,137,140,173,216,220,316,318,320,465],[1,3,
4,6,12,17,18,23,28,31,32,41,42,54,81,95,102,112,113,114,120,137,145,151,208,
226,286,300,312,466],[1,2,3,6,12,21,22,32,37,42,43,46,47,67,81,115,121,144,
145,173,289,291,306,467],[1,3,4,6,12,17,20,23,28,31,32,41,42,62,81,95,100,102,
105,112,120,137,145,151,202,213,286,312,316,468],[1,5,8,9,71,82,83,91,93,230,
239,247,259,469],[1,5,6,12,13,14,75,76,79,82,84,89,90,94,233,236,242,245,265,
276,470],[1,5,7,8,9,11,13,14,15,70,77,80,82,85,86,89,91,92,94,230,234,236,246,
249,254,263,267,268,471],[1,5,7,8,9,10,11,12,14,15,70,74,77,79,80,85,87,88,91,
92,94,231,245,246,256,260,264,267,271,277,472],[1,5,6,12,13,75,79,81,83,89,
251,265,266,473],[1,5,6,7,12,71,75,76,77,81,232,261,270,474],[1,5,8,10,12,13,
71,78,79,89,93,238,243,265,274,475],[1,5,6,10,12,75,76,78,79,82,87,90,228,242,
243,257,273,476],[1,5,7,8,9,10,11,12,13,15,70,72,73,77,79,85,86,87,88,89,91,
92,231,241,244,249,250,253,255,256,263,264,265,268,269,477],[1,5,6,8,10,11,70,
76,78,83,93,228,237,240,262,478],[1,5,6,11,12,70,71,75,76,81,232,262,270,
479],[1,5,6,8,9,10,11,13,14,15,70,74,76,80,84,85,87,89,91,92,94,233,235,246,
248,249,250,253,262,271,480],[1,5,6,12,71,75,76,79,82,90,238,242,252,259,270,
481],[1,5,8,10,12,14,71,78,79,93,94,238,243,245,274,482],[1,5,6,7,11,12,70,75,
76,77,79,82,88,90,229,231,242,254,261,262,483],[1,5,6,9,10,12,75,76,78,79,82,
87,90,91,230,242,248,257,264,275,484],[1,5,6,12,14,75,79,81,83,94,245,251,266,
485],[1,5,6,8,12,15,75,76,79,82,85,90,92,93,234,235,242,256,258,272,486],[1,5,
10,15,71,78,83,90,92,252,258,273,278,487],[1,5,7,8,10,11,13,14,15,70,72,73,74,
77,78,82,85,87,89,92,94,234,236,241,244,250,253,254,255,257,260,269,271,277,
488],[1,5,6,12,75,76,79,82,83,90,237,242,247,266,278,489],[1,5,6,7,8,9,10,13,
14,15,72,73,76,77,84,85,86,87,89,91,92,94,233,235,241,244,248,255,260,261,263,
267,268,269,277,490],[1,5,6,12,75,76,79,81,82,90,232,242,251,491],[1,5,6,8,12,
75,76,79,82,85,90,93,239,240,242,272,274,492],[1,5,7,8,9,10,11,13,14,70,73,74,
77,85,86,87,89,90,91,93,94,229,241,244,249,250,263,267,269,271,272,275,276,
277,493],[1,5,6,7,8,10,76,77,78,83,93,228,237,240,261,494],[1,5,7,9,10,11,13,
14,15,70,72,77,80,87,89,90,91,92,94,229,246,253,255,258,260,268,275,276,495],[
1,5,8,10,71,78,82,83,87,93,239,247,257,259,496],[1,5,8,10,71,78,83,85,90,93,
252,272,273,278,497],[1,2,3,4,9,16,17,21,22,24,25,26,48,53,55,58,60,61,66,67,
107,110,124,125,128,130,135,200,218,285,330,331,498],[1,2,4,14,16,19,21,23,25,
36,53,56,57,58,60,63,64,97,126,128,134,197,211,217,279,499],[1,2,4,9,16,18,20,
21,25,48,53,58,60,65,68,107,128,133,136,214,218,284,330,500],[1,2,3,4,15,16,
17,21,22,24,25,39,49,53,55,57,64,66,67,68,106,123,124,127,129,133,134,194,196,
283,327,333,501],[1,2,4,15,16,18,20,21,25,49,53,57,61,64,65,123,134,135,136,
194,227,281,327,502],[1,2,4,9,16,19,21,23,25,48,53,56,57,58,60,63,64,107,126,
128,134,198,218,279,330,503],[1,2,4,11,16,19,21,23,25,27,53,56,57,58,60,63,64,
108,126,128,134,215,222,224,279,504],[1,2,4,15,16,19,21,23,25,49,53,56,57,58,
60,63,64,123,126,128,134,194,212,279,327,505],[1,2,3,5,6,8,15,22,29,32,34,39,
40,42,44,46,49,76,85,92,106,115,122,149,152,156,159,161,165,176,235,294,297,
348,352,416,506],[1,3,4,5,6,12,17,29,31,33,37,41,42,43,75,79,81,112,118,151,
153,154,171,173,182,188,251,323,326,367,430,507],[1,4,5,6,12,20,28,31,33,75,
76,81,100,140,185,188,232,324,410,508],[1,2,3,5,6,12,22,29,32,37,40,42,43,44,
46,47,75,76,79,82,90,115,121,122,152,154,157,159,161,164,168,170,175,180,182,
183,193,242,294,295,304,305,311,349,351,403,509],[1,3,4,5,6,12,24,28,31,32,33,
40,42,43,75,76,81,116,119,140,145,161,168,171,185,188,232,298,321,410,427,
510],[1,4,5,6,12,20,31,33,41,75,79,81,105,151,153,188,251,324,367,511],[1,2,3,
5,7,11,12,22,27,29,30,35,37,40,43,44,47,50,70,77,79,88,104,121,122,148,154,
160,164,166,169,174,175,189,191,231,296,305,307,354,390,432,512],[1,2,3,5,15,
22,29,39,40,44,49,90,92,106,122,149,156,170,176,183,258,297,311,346,424,513],[
1,3,4,5,6,12,17,31,32,33,37,40,41,43,75,79,81,118,120,139,151,153,168,173,175,
188,251,314,326,367,401,514],[1,4,5,6,12,23,31,33,41,75,79,81,102,151,153,188,
251,287,367,515],[1,2,3,5,12,14,22,29,36,37,40,43,44,45,47,51,79,94,109,121,
122,154,162,164,175,178,190,245,305,313,371,399,425,516],[1,2,3,5,9,22,26,29,
40,44,48,82,91,110,122,142,157,163,167,180,230,304,310,343,411,517],[1,2,3,5,
6,12,22,29,32,37,40,42,43,44,46,47,75,76,81,115,121,122,139,144,145,152,159,
161,168,171,182,193,232,288,294,295,306,391,427,428,518],[1,2,3,5,6,13,14,22,
29,32,36,40,42,44,45,46,51,52,76,84,89,94,109,115,122,138,152,159,161,162,177,
178,186,190,192,233,290,294,313,363,388,406,519],[1,2,3,5,7,11,22,27,29,30,35,
40,44,50,70,77,82,104,122,148,157,166,169,180,189,254,304,307,376,398,419,
520],[1,3,4,5,6,12,17,28,29,32,33,37,40,41,42,43,75,76,81,112,118,120,137,139,
140,145,152,153,161,168,171,182,232,312,314,323,413,427,428,521],[1,2,3,5,13,
14,22,29,36,40,44,45,51,52,82,89,94,109,122,157,162,178,180,186,190,236,304,
313,361,404,409,522],[1,3,4,5,6,12,24,28,29,31,32,33,37,42,75,76,81,96,119,
139,140,145,152,182,185,188,232,298,302,410,428,523],[1,2,3,5,6,9,10,22,26,29,
32,38,40,42,44,46,48,76,87,91,110,115,122,142,147,152,159,161,163,167,248,294,
310,386,412,426,524],[1,2,3,5,6,12,22,29,32,37,40,42,43,44,46,47,75,79,81,115,
121,122,139,144,154,164,168,171,173,175,182,193,251,288,289,295,305,362,401,
430,525],[1,2,4,5,6,12,25,28,31,33,41,44,46,47,75,79,81,98,117,137,144,151,
153,164,185,188,193,251,299,303,309,347,362,367,526],[1,2,3,5,9,11,14,15,22,
26,27,29,35,36,39,40,44,45,48,49,50,51,70,80,91,92,94,104,106,109,110,122,142,
148,149,150,156,158,162,163,167,169,176,178,184,189,190,246,297,307,310,313,
325,357,395,422,527],[1,2,5,15,21,44,49,90,92,123,156,183,258,301,346,528],[1,
2,3,5,9,10,12,22,26,29,37,38,40,43,44,47,48,79,87,91,110,121,122,142,147,154,
163,164,167,175,264,305,310,360,366,429,529],[1,2,3,5,8,12,15,22,29,34,37,39,
40,43,44,47,49,79,85,92,106,121,122,149,154,156,164,165,175,176,256,297,305,
341,358,393,530],[1,4,5,6,12,23,28,31,33,41,75,79,81,95,102,137,151,153,185,
188,251,286,287,347,367,531],[1,2,5,9,16,44,48,82,91,107,157,167,230,317,343,
532],[1,2,3,5,9,10,22,26,29,38,40,44,48,87,90,91,110,122,142,147,163,167,170,
183,275,310,311,345,382,387,533],[1,2,3,5,6,11,22,27,29,32,35,40,42,44,46,50,
70,76,104,115,122,148,152,159,161,169,189,262,294,307,383,407,420,534],[1,4,5,
6,12,18,28,31,33,75,76,81,113,140,185,188,232,319,410,535],[1,4,5,6,12,19,28,
31,33,41,75,76,81,101,103,137,140,153,185,188,232,318,322,410,413,536],[1,4,5,
6,12,18,31,33,41,75,79,81,114,151,153,188,251,319,367,537],[1,3,4,5,6,12,24,
28,29,31,32,37,40,41,42,43,75,79,81,96,116,119,137,139,151,154,168,171,173,
175,182,185,251,302,320,321,347,401,430,538],[1,2,3,5,8,15,22,29,34,39,40,44,
49,82,85,92,106,122,149,156,157,165,176,180,234,297,304,342,359,374,539],[1,2,
3,5,13,14,22,29,36,40,44,45,51,52,89,90,94,109,122,162,170,178,183,186,190,
276,311,313,355,370,389,540],[1,2,4,5,6,12,25,28,31,33,41,44,46,47,75,76,81,
98,117,137,140,144,153,159,185,188,193,232,299,303,308,391,410,413,541],[1,2,
3,5,7,11,22,27,29,30,35,40,44,50,70,77,90,104,122,148,166,169,170,183,189,229,
307,311,380,408,418,542],[1,4,5,6,12,19,28,31,33,75,76,81,101,140,185,188,232,
322,410,543],[1,2,3,4,6,12,16,17,21,22,24,25,28,31,32,33,37,41,42,43,46,47,53,
55,66,67,81,96,98,112,115,116,117,118,119,120,121,124,137,144,145,173,188,206,
210,289,291,292,298,299,306,312,320,326,445,449,454,460,467,544],[1,2,3,4,6,
12,17,18,19,20,22,24,25,28,31,32,33,41,42,46,47,59,63,65,66,69,81,98,101,103,
112,115,117,119,120,132,137,140,144,145,188,203,210,298,299,306,308,312,318,
319,322,324,438,439,441,460,462,545],[1,2,4,6,12,16,18,20,21,25,28,31,33,41,
46,47,53,65,81,98,100,105,113,114,117,136,137,144,188,195,221,291,292,299,300,
316,319,324,438,449,455,546],[1,2,3,5,16,22,29,40,44,55,57,68,82,122,129,157,
180,304,317,435,446,453,547],[1,2,3,5,21,22,29,40,44,58,61,67,90,122,125,170,
183,301,311,450,456,463,548],[1,2,3,9,11,14,15,16,22,26,27,35,36,39,45,48,49,
50,51,55,57,68,80,104,106,107,109,110,129,150,158,184,194,197,198,200,214,222,
325,332,333,334,340,447,549],[1,2,3,9,11,14,15,21,22,26,27,35,36,39,45,48,49,
50,51,58,61,67,80,104,106,109,110,123,125,150,158,184,196,211,212,215,218,227,
325,331,337,338,339,437,550],[1,2,3,4,7,11,12,17,18,19,20,22,24,25,27,28,30,
33,35,37,43,47,50,59,63,65,66,69,88,96,98,99,100,101,103,104,108,113,116,118,
121,132,160,174,191,199,201,203,204,205,206,207,216,220,221,224,296,315,328,
336,442,457,458,551],[1,2,3,4,6,12,17,18,19,20,22,24,25,28,31,33,37,41,43,46,
47,59,63,65,66,69,81,96,98,100,101,103,105,113,114,116,117,118,121,132,137,
140,144,173,188,195,199,201,203,206,216,220,221,289,299,300,308,316,318,320,
322,326,328,441,443,454,455,465,552],[1,2,3,4,6,13,14,17,18,20,22,23,24,25,31,
32,36,41,42,45,46,51,52,54,56,62,65,66,84,95,97,102,105,109,111,112,114,115,
117,119,120,131,138,177,192,195,202,208,209,210,213,217,219,223,225,226,290,
293,329,335,436,452,464,553],[1,2,3,4,6,12,17,18,20,22,23,24,25,28,31,33,37,
41,43,46,47,54,56,62,65,66,81,95,96,98,102,116,117,118,121,131,137,144,151,
173,188,206,223,286,287,289,299,309,319,320,324,326,438,448,451,454,461,554],[
1,2,4,6,12,16,19,21,23,25,28,31,33,41,46,47,53,56,60,63,64,81,95,98,101,102,
103,117,126,137,140,144,151,188,203,223,286,287,291,292,299,308,309,318,322,
440,441,448,449,459,555],[1,2,3,4,6,12,17,18,20,22,23,24,25,28,31,32,33,41,42,
46,47,54,56,62,65,66,81,95,98,100,102,105,112,113,114,115,117,119,120,131,137,
144,145,151,188,195,202,208,210,213,221,223,226,286,287,298,299,300,306,309,
312,316,335,448,455,460,466,468,556],[1,2,5,6,8,12,15,44,46,47,49,75,76,79,82,
85,90,92,93,156,157,159,164,183,193,234,235,242,256,258,272,346,348,351,358,
374,486,557],[1,3,5,6,12,29,37,40,42,71,75,76,79,82,90,161,170,175,179,180,
182,238,242,252,259,270,349,385,402,417,433,481,558],[1,2,5,6,9,10,12,44,46,
47,48,75,76,78,79,82,87,90,91,157,159,164,167,183,193,230,242,248,257,264,275,
343,351,360,386,387,484,559],[1,3,5,6,9,10,12,26,29,37,40,42,75,76,78,79,82,
87,90,91,142,161,163,170,175,180,182,230,242,248,257,264,275,349,366,382,411,
412,484,560],[1,2,5,6,12,44,46,47,75,76,79,81,82,90,144,157,159,164,183,193,
232,242,251,351,362,391,491,561],[1,3,5,6,12,13,14,29,32,40,43,45,52,75,76,79,
82,84,89,90,94,138,152,154,162,168,170,180,186,233,236,242,245,265,276,361,
388,389,399,403,423,470,562],[1,3,5,8,9,26,29,34,40,71,82,83,91,93,142,146,
163,179,180,181,230,239,247,259,379,385,392,411,469,563],[1,2,5,6,12,13,14,36,
44,46,47,75,76,79,82,84,89,90,94,157,159,164,177,183,190,193,233,236,242,245,
265,276,351,355,406,409,425,470,564],[1,3,5,6,10,12,29,37,38,40,42,75,76,78,
79,82,87,90,141,147,161,170,175,180,182,228,242,243,257,273,349,400,414,421,
431,476,565],[1,2,5,7,8,9,11,13,14,15,27,36,44,48,49,70,77,80,82,85,86,89,91,
92,94,148,150,156,157,167,190,230,234,236,246,249,254,263,267,268,343,374,395,
409,419,471,566],[1,3,5,6,11,12,32,40,42,43,50,70,71,75,76,81,145,161,168,171,
179,189,232,262,270,402,407,427,479,567],[1,3,5,7,8,10,11,13,14,15,29,30,34,
35,38,39,40,45,52,70,72,73,74,77,78,82,85,87,89,92,94,141,143,147,155,162,165,
166,169,176,180,186,187,234,236,241,244,250,253,254,255,257,260,269,271,277,
342,350,353,361,364,365,375,378,381,397,398,405,421,488,568],[1,3,5,6,12,14,
29,37,42,43,45,75,79,81,83,94,154,162,171,173,182,245,251,266,399,430,485,
569],[1,3,5,7,8,9,11,13,14,15,26,29,30,34,35,39,40,45,52,70,77,80,82,85,86,89,
91,92,94,142,158,162,163,165,166,169,172,176,180,186,230,234,236,246,249,254,
263,267,268,342,344,356,357,361,368,394,398,411,471,570],[1,3,5,7,8,9,10,11,
12,13,15,26,29,30,34,35,38,39,43,52,70,72,73,77,79,85,86,87,88,89,91,92,142,
143,147,154,160,165,166,169,172,176,186,187,231,241,244,249,250,253,255,256,
263,264,265,268,269,341,350,354,356,365,368,375,381,394,397,405,423,429,477,
571],[1,2,5,7,8,9,10,11,12,14,15,27,36,44,47,48,49,70,74,77,79,80,85,87,88,91,
92,94,148,150,156,164,167,174,190,231,245,246,256,260,264,267,271,277,358,360,
390,395,425,472,572],[1,3,5,6,9,10,12,26,29,32,38,40,43,75,76,78,79,82,87,90,
91,141,142,147,152,154,163,168,170,180,230,242,248,257,264,275,345,403,411,
421,426,429,484,573],[1,3,5,6,8,12,29,34,37,40,42,75,76,79,82,85,90,93,146,
161,165,170,175,180,182,239,240,242,272,274,349,379,384,396,415,492,574],[1,3,
5,6,8,12,15,29,37,39,40,42,75,76,79,82,85,90,92,93,149,161,170,175,176,180,
182,234,235,242,256,258,272,349,352,359,393,424,486,575],[1,3,5,7,8,9,11,13,
14,15,26,29,39,40,50,51,70,77,80,82,85,86,89,91,92,94,142,149,163,178,180,184,
189,230,234,236,246,249,254,263,267,268,359,376,404,411,422,471,576],[1,3,5,6,
12,13,29,37,42,43,52,75,79,81,83,89,154,171,173,182,186,251,265,266,423,430,
473,577],[1,3,5,6,8,9,10,11,13,14,15,26,29,32,34,35,38,39,45,52,70,74,76,80,
84,85,87,89,91,92,94,138,142,147,152,155,158,162,165,169,176,186,233,235,246,
248,249,250,253,262,271,353,357,381,383,388,394,397,416,426,480,578],[1,3,5,6,
7,8,9,10,13,14,15,26,29,30,32,34,38,39,45,52,72,73,76,77,84,85,86,87,89,91,92,
94,138,142,143,147,152,162,165,166,172,176,186,187,233,235,241,244,248,255,
260,261,263,267,268,269,277,344,350,356,364,365,368,369,375,378,388,405,416,
426,490,579],[1,2,5,7,9,10,11,13,14,15,27,36,44,48,49,70,72,77,80,87,89,90,91,
92,94,148,150,156,167,183,190,229,246,253,255,258,260,268,275,276,346,355,380,
387,395,495,580],[1,3,5,6,12,13,14,29,37,40,42,51,75,76,79,82,84,89,90,94,161,
170,175,178,180,182,192,233,236,242,245,265,276,349,363,370,371,404,470,581],[
1,3,5,7,9,10,11,13,14,15,26,29,30,35,38,39,40,45,52,70,72,77,80,87,89,90,91,
92,94,142,147,149,158,162,166,169,170,176,186,187,229,246,253,255,258,260,268,
275,276,345,356,357,364,365,389,397,408,424,495,582],[1,2,5,6,8,9,10,11,13,14,
15,27,36,44,46,48,49,70,74,76,80,84,85,87,89,91,92,94,148,150,156,159,167,177,
190,233,235,246,248,249,250,253,262,271,348,386,395,406,420,480,583],[1,2,5,6,
12,14,36,44,46,47,75,79,81,83,94,144,164,190,193,245,251,266,362,425,485,
584],[1,3,5,6,7,11,12,29,30,32,35,40,43,70,75,76,77,79,82,88,90,152,154,160,
166,168,169,170,180,229,231,242,254,261,262,354,369,383,398,403,408,483,585],[
1,3,5,6,8,12,15,29,32,34,39,40,43,75,76,79,82,85,90,92,93,146,149,152,154,165,
168,170,176,180,234,235,242,256,258,272,341,342,403,415,416,424,486,586],[1,3,
5,6,7,12,29,30,32,37,42,71,75,76,77,81,139,145,152,166,182,232,261,270,369,
428,474,587],[1,4,5,6,12,28,31,33,41,75,76,79,81,82,90,137,140,151,153,185,
188,232,242,251,347,367,410,413,491,588],[1,3,5,7,8,9,10,11,12,14,15,26,29,30,
34,35,38,39,43,45,70,74,77,79,80,85,87,88,91,92,94,142,147,154,155,158,160,
162,165,166,169,176,231,245,246,256,260,264,267,271,277,341,344,353,354,357,
364,378,399,429,472,589],[1,3,5,6,11,12,29,32,35,37,42,70,71,75,76,81,139,145,
152,169,182,232,262,270,383,428,479,590],[1,3,5,6,12,29,37,40,42,75,76,79,82,
83,90,161,170,175,180,181,182,237,242,247,266,278,349,372,373,377,392,489,
591],[1,3,5,7,8,9,10,11,12,14,15,26,37,39,40,50,51,70,74,77,79,80,85,87,88,91,
92,94,149,163,175,178,184,189,191,231,245,246,256,260,264,267,271,277,366,371,
393,422,432,472,592],[1,3,5,6,8,10,11,34,38,40,42,50,70,76,78,83,93,141,146,
161,181,189,228,237,240,262,377,396,400,407,478,593],[1,3,5,6,12,29,32,37,40,
42,43,75,76,79,81,82,90,139,145,152,154,161,168,170,171,173,175,180,182,232,
242,251,349,401,403,427,428,430,491,594],[1,3,5,7,8,9,10,11,13,14,26,29,30,34,
35,38,40,45,52,70,73,74,77,85,86,87,89,90,91,93,94,142,143,146,147,155,162,
165,166,169,170,172,186,229,241,244,249,250,263,267,269,271,272,275,276,277,
344,345,350,353,368,375,378,381,389,394,405,408,415,493,595],[1,3,5,6,12,14,
32,37,40,43,51,75,79,81,83,94,139,168,173,175,178,181,245,251,266,371,372,401,
485,596],[1,3,5,10,15,29,38,39,40,71,78,83,90,92,141,149,170,176,179,181,252,
258,273,278,373,414,424,433,487,597],[1,3,5,8,10,12,14,34,37,38,40,51,71,78,
79,93,94,141,146,175,178,179,238,243,245,274,371,384,417,431,482,598],[1,3,5,
6,7,11,12,29,37,40,42,50,70,75,76,77,79,82,88,90,161,170,175,180,182,189,191,
229,231,242,254,261,262,349,376,407,418,432,483,599],[1,3,5,7,9,10,11,13,14,
15,26,29,39,40,50,51,70,72,77,80,87,89,90,91,92,94,149,163,170,176,178,184,
189,229,246,253,255,258,260,268,275,276,370,382,418,422,424,495,600],[1,2,5,6,
7,11,12,27,44,46,47,70,75,76,77,79,82,88,90,148,157,159,164,174,183,193,229,
231,242,254,261,262,351,380,390,419,420,483,601],[1,3,5,6,8,9,10,11,13,14,15,
26,39,40,42,50,51,70,74,76,80,84,85,87,89,91,92,94,149,161,163,178,184,189,
192,233,235,246,248,249,250,253,262,271,352,363,407,412,422,480,602],[1,2,5,6,
11,12,27,44,46,47,70,71,75,76,81,144,148,159,193,232,262,270,391,420,479,
603],[1,2,3,4,14,16,17,18,19,20,21,22,23,24,25,36,45,51,53,54,55,56,57,58,59,
60,61,62,63,64,65,66,67,68,69,97,109,124,125,126,127,128,129,130,131,132,133,
134,135,136,197,209,211,217,219,279,280,281,282,283,284,285,329,339,340,434,
499,604],[1,2,3,4,15,16,17,18,19,20,21,22,23,24,25,39,49,53,54,55,56,57,58,59,
60,61,62,63,64,65,66,67,68,69,106,123,124,125,126,127,128,129,130,131,132,133,
134,135,136,194,196,212,227,279,280,281,282,283,284,285,327,333,338,434,501,
502,505,605],[1,2,3,4,11,16,17,18,19,20,21,22,23,24,25,27,35,50,53,54,55,56,
57,58,59,60,61,62,63,64,65,66,67,68,69,104,108,124,125,126,127,128,129,130,
131,132,133,134,135,136,204,207,215,222,224,279,280,281,282,283,284,285,332,
336,337,434,504,606],[1,2,3,4,9,16,17,18,19,20,21,22,23,24,25,26,48,53,54,55,
56,57,58,59,60,61,62,63,64,65,66,67,68,69,107,110,124,125,126,127,128,129,130,
131,132,133,134,135,136,198,200,214,218,279,280,281,282,283,284,285,330,331,
334,434,498,500,503,607],[1,2,3,4,5,6,12,17,22,24,25,28,29,31,32,33,37,40,41,
42,43,44,46,47,66,75,79,81,96,98,112,115,116,117,118,119,120,121,122,137,139,
144,151,153,154,164,168,171,173,175,182,185,188,193,206,210,251,288,289,295,
299,302,303,305,309,314,320,321,323,326,347,362,367,401,430,444,454,507,514,
525,526,538,608],[1,3,4,5,6,12,17,20,23,28,29,31,33,37,41,42,43,62,75,79,81,
95,102,105,112,118,137,151,153,154,171,173,182,185,188,202,251,286,287,323,
324,326,347,367,430,451,507,511,531,609],[1,2,5,9,16,44,48,68,82,91,107,157,
167,214,230,317,343,453,532,610],[1,3,4,5,6,12,18,19,24,28,31,32,33,40,41,42,
43,59,75,76,81,101,103,113,116,119,137,140,145,153,161,168,171,185,188,199,
232,298,318,319,321,322,410,413,427,439,510,535,536,611],[1,2,5,9,10,21,44,48,
58,87,90,91,167,183,218,275,301,387,456,612],[1,2,3,4,5,6,12,17,22,24,25,28,
29,31,32,33,37,40,41,42,43,44,46,47,66,75,76,81,96,98,112,115,116,117,118,119,
120,121,122,137,139,140,144,145,152,153,159,161,168,171,182,185,188,193,206,
210,232,288,294,295,298,299,302,303,306,308,312,314,321,323,391,410,413,427,
428,444,460,510,518,521,523,541,613],[1,2,5,8,15,16,44,49,57,82,85,92,156,157,
194,234,317,374,446,614],[1,2,4,5,6,12,18,20,25,28,31,33,41,44,46,47,65,75,76,
81,98,100,113,117,137,140,144,153,159,185,188,193,221,232,299,303,308,319,324,
391,410,413,438,508,535,541,615],[1,2,5,7,11,16,27,44,57,70,77,82,148,157,222,
254,317,419,446,616],[1,2,5,9,16,44,48,57,82,91,107,157,167,198,230,317,343,
446,532,617],[1,2,4,5,6,12,18,20,25,28,31,33,41,44,46,47,65,75,79,81,98,105,
114,117,137,144,151,153,164,185,188,193,195,251,299,303,309,319,324,347,362,
367,438,511,526,537,618],[1,2,5,13,14,16,36,44,57,82,89,94,157,190,197,236,
317,409,446,619],[1,2,3,5,15,21,22,29,39,40,44,49,67,90,92,106,122,123,149,
156,170,176,183,196,258,297,301,311,346,424,463,513,528,620],[1,3,4,5,6,12,18,
19,24,28,29,31,32,33,37,42,59,75,76,81,96,101,113,119,139,140,145,152,182,185,
188,201,232,298,302,319,322,410,428,439,523,535,543,621],[1,2,4,5,6,12,19,25,
28,31,33,41,44,46,47,63,75,76,81,98,101,103,117,137,140,144,153,159,185,188,
193,203,232,299,303,308,318,322,391,410,413,441,536,541,543,622],[1,2,4,5,6,
12,23,25,28,31,33,41,44,46,47,56,75,79,81,95,98,102,117,137,144,151,153,164,
185,188,193,223,251,286,287,299,303,309,347,362,367,448,515,526,531,623],[1,2,
3,5,9,16,22,26,29,40,44,48,55,82,91,107,110,122,142,157,163,167,180,200,230,
304,310,317,343,411,435,517,532,624],[1,2,5,13,14,21,36,44,58,89,90,94,183,
190,211,276,301,355,456,625],[1,3,4,5,6,12,17,18,23,29,31,33,37,41,42,43,54,
75,79,81,102,112,114,118,151,153,154,171,173,182,188,226,251,287,319,323,326,
367,430,461,507,515,537,626],[1,3,4,5,6,12,19,20,24,28,31,32,33,40,42,43,69,
75,76,81,100,101,116,119,140,145,161,168,171,185,188,216,232,298,321,322,324,
410,427,462,508,510,543,627],[1,2,5,7,11,21,27,44,58,70,77,90,148,183,215,229,
301,380,456,628],[1,3,4,5,6,12,17,20,23,31,32,33,37,40,41,43,62,75,79,81,102,
105,118,120,139,151,153,168,173,175,188,213,251,287,314,324,326,367,401,451,
511,514,515,629],[1,2,5,15,21,44,49,58,90,92,123,156,183,212,258,301,346,456,
528,630],[1,3,4,5,6,12,17,18,23,28,31,32,33,37,40,41,43,54,75,79,81,95,102,
114,118,120,137,139,151,153,168,173,175,185,188,208,251,286,287,314,319,326,
347,367,401,461,514,531,537,631],[1,2,5,15,21,44,49,61,90,92,123,156,183,227,
258,301,346,450,528,632],[1,3,4,5,6,12,19,20,24,28,29,31,32,33,37,41,42,69,75,
76,81,96,100,101,103,119,137,139,140,145,152,153,182,185,188,220,232,298,302,
318,322,324,410,413,428,462,508,523,536,633],[1,5,6,8,10,12,13,14,71,75,76,78,
79,82,84,85,87,89,90,93,94,228,233,236,238,239,240,242,243,245,252,257,259,
265,270,272,273,274,276,470,475,476,481,482,492,634],[1,5,6,7,8,9,10,11,12,13,
14,15,70,72,73,74,75,76,77,78,79,80,82,84,85,86,87,88,89,90,91,92,93,94,229,
230,231,233,234,235,236,241,242,244,245,246,248,249,250,253,254,255,256,257,
258,260,261,262,263,264,265,267,268,269,271,272,275,276,277,470,471,472,477,
480,483,484,486,488,490,493,495,635],[1,5,6,12,13,14,75,76,79,81,82,83,84,89,
90,94,232,233,236,237,242,245,247,251,265,266,276,278,470,473,485,489,491,
636],[1,5,6,9,10,12,75,76,78,79,81,82,87,90,91,228,230,232,242,243,248,251,
257,264,273,275,476,484,491,637],[1,5,6,8,9,10,12,71,75,76,78,79,82,83,85,87,
90,91,93,230,237,238,239,240,242,247,248,252,257,259,264,266,270,272,274,275,
278,469,481,484,489,492,496,638],[1,5,6,8,12,15,75,76,79,81,82,85,90,92,93,
232,234,235,239,240,242,251,256,258,272,274,486,491,492,639],[1,5,6,7,8,10,11,
12,70,75,76,77,78,79,82,83,85,87,88,90,93,228,229,231,237,239,240,242,243,247,
254,257,261,262,266,272,273,274,278,476,478,483,489,492,494,640],[1,5,6,7,11,
12,70,71,75,76,77,79,81,82,88,90,229,231,232,238,242,251,252,254,259,261,262,
270,474,479,481,483,491,641],[1,5,6,8,10,12,15,71,75,76,78,79,82,83,85,87,90,
92,93,228,234,235,237,238,242,243,247,252,256,257,258,259,266,270,272,273,278,
476,481,486,487,489,497,642],[1,2,4,9,11,14,15,16,19,21,23,25,27,36,48,49,53,
56,57,58,60,63,64,80,97,107,108,123,126,128,134,150,194,197,198,211,212,215,
217,218,222,224,279,327,330,437,447,499,503,504,505,643],[1,2,3,4,6,12,16,17,
18,19,20,21,22,23,24,25,28,31,32,33,37,41,42,43,46,47,53,54,55,56,59,60,62,63,
64,65,66,67,69,81,95,96,98,100,101,102,103,105,112,113,114,115,116,117,118,
119,120,121,124,126,131,132,136,137,140,144,145,151,173,188,195,199,201,202,
203,206,208,210,213,216,220,221,223,226,282,286,287,289,291,292,298,299,300,
306,308,309,312,316,318,319,320,322,324,326,328,335,438,439,440,441,443,445,
448,449,451,454,455,459,460,461,462,465,466,467,468,544,545,546,552,554,555,
556,644],[1,2,3,5,6,12,22,29,32,37,40,42,43,44,46,47,75,76,79,81,82,90,115,
121,122,139,144,145,152,154,157,159,161,164,168,170,171,173,175,180,182,183,
193,232,242,251,288,289,294,295,304,305,306,311,349,351,362,391,401,403,427,
428,430,491,509,518,525,561,594,645],[1,2,5,6,12,21,44,46,47,75,76,79,81,82,
90,144,157,159,164,183,193,232,242,251,291,301,351,362,391,491,561,646],[1,2,
5,6,12,16,44,46,47,75,76,79,81,82,90,144,157,159,164,183,193,232,242,251,292,
317,351,362,391,491,561,647],[1,4,5,6,12,19,28,31,33,41,75,76,79,81,82,90,101,
103,137,140,151,153,185,188,232,242,251,318,322,347,367,410,413,491,536,543,
588,648],[1,3,4,5,6,12,24,28,29,31,32,33,37,40,41,42,43,75,76,79,81,82,90,96,
116,119,137,139,140,145,151,152,153,154,161,168,170,171,173,175,180,182,185,
188,232,242,251,298,302,320,321,347,349,367,401,403,410,413,427,428,430,491,
510,523,538,588,594,649],[1,2,3,5,6,8,12,15,22,29,32,34,37,39,40,42,43,44,46,
47,49,75,76,79,82,85,90,92,93,106,115,121,122,146,149,152,154,156,157,159,161,
164,165,168,170,175,176,180,182,183,193,234,235,242,256,258,272,294,295,297,
304,305,311,341,342,346,348,349,351,352,358,359,374,393,403,415,416,424,486,
506,509,513,530,539,557,575,586,650],[1,3,4,5,6,12,17,28,29,31,32,33,37,40,41,
42,43,75,76,79,81,82,90,112,118,120,137,139,140,145,151,152,153,154,161,168,
170,171,173,175,180,182,185,188,232,242,251,312,314,323,326,347,349,367,401,
403,410,413,427,428,430,491,507,514,521,588,594,651],[1,2,3,5,6,12,14,22,29,
32,36,37,40,42,43,44,45,46,47,51,75,79,81,83,94,109,115,121,122,139,144,154,
162,164,168,171,173,175,178,181,182,190,193,245,251,266,288,289,295,305,313,
362,371,372,399,401,425,430,485,516,525,569,584,596,652],[1,4,5,6,11,12,19,28,
31,33,70,71,75,76,81,101,108,140,185,188,232,262,270,322,410,479,543,653],[1,
4,5,6,7,12,19,28,31,33,71,75,76,77,81,99,101,140,185,188,232,261,270,322,410,
474,543,654],[1,2,3,5,6,12,13,14,22,29,32,36,37,40,42,43,44,45,46,47,51,52,75,
76,79,82,84,89,90,94,109,115,121,122,138,152,154,157,159,161,162,164,168,170,
175,177,178,180,182,183,186,190,192,193,233,236,242,245,265,276,290,294,295,
304,305,311,313,349,351,355,361,363,370,371,388,389,399,403,404,406,409,423,
425,470,509,516,519,522,540,562,564,581,655],[1,2,3,5,6,8,9,10,11,13,14,15,22,
26,27,29,32,34,35,36,38,39,40,42,44,45,46,48,49,50,51,52,70,74,76,80,84,85,87,
89,91,92,94,104,106,109,110,115,122,138,142,147,148,149,150,152,155,156,158,
159,161,162,163,165,167,169,176,177,178,184,186,189,190,192,233,235,246,248,
249,250,253,262,271,290,294,297,307,310,313,325,348,352,353,357,363,381,383,
386,388,394,395,397,406,407,412,416,420,422,426,480,506,519,524,527,534,578,
583,602,656],[1,2,3,5,7,9,10,11,13,14,15,22,26,27,29,30,35,36,38,39,40,44,45,
48,49,50,51,52,70,72,77,80,87,89,90,91,92,94,104,106,109,110,122,142,147,148,
149,150,156,158,162,163,166,167,169,170,176,178,183,184,186,187,189,190,229,
246,253,255,258,260,268,275,276,297,307,310,311,313,325,345,346,355,356,357,
364,365,370,380,382,387,389,395,397,408,418,422,424,495,513,527,533,540,542,
580,582,600,657],[1,4,5,6,12,20,28,31,33,41,75,76,79,81,82,90,100,105,137,140,
151,153,185,188,232,242,251,316,324,347,367,410,413,491,508,511,588,658],[1,2,
3,5,6,9,10,12,22,26,29,32,37,38,40,42,43,44,46,47,48,75,76,78,79,82,87,90,91,
110,115,121,122,141,142,147,152,154,157,159,161,163,164,167,168,170,175,180,
182,183,193,230,242,248,257,264,275,294,295,304,305,310,311,343,345,349,351,
360,366,382,386,387,403,411,412,421,426,429,484,509,517,524,529,533,559,560,
573,659],[1,4,5,6,12,18,28,31,33,41,75,76,79,81,82,90,113,114,137,140,151,153,
185,188,232,242,251,300,319,347,367,410,413,491,535,537,588,660],[1,4,5,6,12,
14,23,31,33,41,75,79,81,83,94,97,102,151,153,188,245,251,266,287,367,485,515,
661],[1,2,4,5,6,12,25,28,31,33,41,44,46,47,75,76,79,81,82,90,98,117,137,140,
144,151,153,157,159,164,183,185,188,193,232,242,251,299,303,308,309,347,351,
362,367,391,410,413,491,526,541,561,588,662],[1,4,5,6,12,13,23,31,33,41,75,79,
81,83,89,102,111,151,153,188,251,265,266,287,367,473,515,663],[1,2,3,5,7,8,9,
11,13,14,15,22,26,27,29,30,34,35,36,39,40,44,45,48,49,50,51,52,70,77,80,82,85,
86,89,91,92,94,104,106,109,110,122,142,148,149,150,156,157,158,162,163,165,
166,167,169,172,176,178,180,184,186,189,190,230,234,236,246,249,254,263,267,
268,297,304,307,310,313,325,342,343,344,356,357,359,361,368,374,376,394,395,
398,404,409,411,419,422,471,517,520,522,527,539,566,570,576,664],[1,2,3,5,7,8,
9,10,11,12,14,15,22,26,27,29,30,34,35,36,37,38,39,40,43,44,45,47,48,49,50,51,
70,74,77,79,80,85,87,88,91,92,94,104,106,109,110,121,122,142,147,148,149,150,
154,155,156,158,160,162,163,164,165,166,167,169,174,175,176,178,184,189,190,
191,231,245,246,256,260,264,267,271,277,296,297,305,307,310,313,325,341,344,
353,354,357,358,360,364,366,371,378,390,393,395,399,422,425,429,432,472,512,
516,527,529,530,572,589,592,665],[1,4,5,6,12,23,28,31,33,41,75,76,79,81,82,90,
95,102,137,140,151,153,185,188,232,242,251,286,287,347,367,410,413,491,515,
531,588,666],[1,2,3,5,6,11,12,22,27,29,32,35,37,40,42,43,44,46,47,50,70,71,75,
76,81,104,115,121,122,139,144,145,148,152,159,161,168,169,171,179,182,189,193,
232,262,270,288,294,295,306,307,383,391,402,407,420,427,428,479,518,534,567,
590,603,667],[1,2,3,5,6,7,11,12,22,27,29,30,32,35,37,40,42,43,44,46,47,50,70,
75,76,77,79,82,88,90,104,115,121,122,148,152,154,157,159,160,161,164,166,168,
169,170,174,175,180,182,183,189,191,193,229,231,242,254,261,262,294,295,296,
304,305,307,311,349,351,354,369,376,380,383,390,398,403,407,408,418,419,420,
432,483,509,512,520,534,542,585,599,601,668],[1,2,3,4,5,6,12,17,18,20,22,23,
24,25,28,29,31,32,33,37,40,41,42,43,44,46,47,54,56,62,65,66,75,79,81,95,96,98,
102,105,112,114,115,116,117,118,119,120,121,122,131,137,139,144,151,153,154,
164,168,171,173,175,182,185,188,193,195,202,206,208,210,213,223,226,251,286,
287,288,289,295,299,302,303,305,309,314,319,320,321,323,324,326,335,347,362,
367,401,430,438,444,448,451,454,461,507,511,514,515,525,526,531,537,538,554,
608,609,618,623,626,629,631,669],[1,2,3,5,9,16,22,26,29,40,44,48,55,57,68,82,
91,107,110,122,129,142,157,163,167,180,198,200,214,230,304,310,317,334,343,
411,435,446,453,517,532,547,610,617,624,670],[1,2,3,5,13,14,16,22,29,36,40,44,
45,51,52,55,57,68,82,89,94,109,122,129,157,162,178,180,186,190,197,236,304,
313,317,340,361,404,409,435,446,453,522,547,619,671],[1,2,3,5,8,15,16,22,29,
34,39,40,44,49,55,57,68,82,85,92,106,122,129,149,156,157,165,176,180,194,234,
297,304,317,333,342,359,374,435,446,453,539,547,614,672],[1,2,3,5,9,10,21,22,
26,29,38,40,44,48,58,61,67,87,90,91,110,122,125,142,147,163,167,170,183,218,
275,301,310,311,331,345,382,387,450,456,463,533,548,612,673],[1,2,3,5,7,11,21,
22,27,29,30,35,40,44,50,58,61,67,70,77,90,104,122,125,148,166,169,170,183,189,
215,229,301,307,311,337,380,408,418,450,456,463,542,548,628,674],[1,2,3,4,5,6,
12,17,18,19,20,22,24,25,28,29,31,32,33,37,40,41,42,43,44,46,47,59,63,65,66,69,
75,76,81,96,98,100,101,103,112,113,115,116,117,118,119,120,121,122,132,137,
139,140,144,145,152,153,159,161,168,171,182,185,188,193,199,201,203,206,210,
216,220,221,232,288,294,295,298,299,302,303,306,308,312,314,318,319,321,322,
323,324,328,391,410,413,427,428,438,439,441,444,460,462,508,510,518,521,523,
535,536,541,543,545,611,613,615,621,622,627,633,675],[1,2,3,5,15,21,22,29,39,
40,44,49,58,61,67,90,92,106,122,123,125,149,156,170,176,183,196,212,227,258,
297,301,311,338,346,424,450,456,463,513,528,548,620,630,632,676],[1,2,3,5,7,
11,16,22,27,29,30,35,40,44,50,55,57,68,70,77,82,104,122,129,148,157,166,169,
180,189,222,254,304,307,317,332,376,398,419,435,446,453,520,547,616,677],[1,2,
3,5,13,14,21,22,29,36,40,44,45,51,52,58,61,67,89,90,94,109,122,125,162,170,
178,183,186,190,211,276,301,311,313,339,355,370,389,450,456,463,540,548,625,
678],[1,2,5,6,7,11,12,27,44,46,47,70,71,75,76,77,79,81,82,88,90,144,148,157,
159,164,174,183,193,229,231,232,238,242,251,252,254,259,261,262,270,351,362,
380,390,391,419,420,474,479,481,483,491,561,601,603,641,679],[1,2,5,6,9,10,12,
44,46,47,48,75,76,78,79,81,82,87,90,91,144,157,159,164,167,183,193,228,230,
232,242,243,248,251,257,264,273,275,343,351,360,362,386,387,391,476,484,491,
559,561,637,680],[1,3,5,6,7,8,9,10,11,12,13,14,15,26,29,37,39,40,42,50,51,70,
72,73,74,75,76,77,78,79,80,82,84,85,86,87,88,89,90,91,92,93,94,142,149,161,
163,170,175,176,178,180,182,184,189,191,192,229,230,231,233,234,235,236,241,
242,244,245,246,248,249,250,253,254,255,256,257,258,260,261,262,263,264,265,
267,268,269,271,272,275,276,277,349,352,359,363,366,370,371,376,382,393,404,
407,411,412,418,422,424,432,470,471,472,477,480,483,484,486,488,490,493,495,
560,575,576,581,592,599,600,602,635,681],[1,3,5,6,8,10,12,15,29,37,38,39,40,
42,71,75,76,78,79,82,83,85,87,90,92,93,141,147,149,161,170,175,176,179,180,
181,182,228,234,235,237,238,242,243,247,252,256,257,258,259,266,270,272,273,
278,349,352,359,372,373,377,385,392,393,400,402,414,417,421,424,431,433,476,
481,486,487,489,497,558,565,575,591,597,642,682],[1,3,5,6,8,9,10,12,26,29,34,
37,40,42,71,75,76,78,79,82,83,85,87,90,91,93,142,146,161,163,165,170,175,179,
180,181,182,230,237,238,239,240,242,247,248,252,257,259,264,266,270,272,274,
275,278,349,366,372,373,377,379,382,384,385,392,396,402,411,412,415,417,433,
469,481,484,489,492,496,558,560,563,574,591,638,683],[1,3,5,6,8,12,15,29,32,
34,37,39,40,42,43,75,76,79,81,82,85,90,92,93,139,145,146,149,152,154,161,165,
168,170,171,173,175,176,180,182,232,234,235,239,240,242,251,256,258,272,274,
341,342,349,352,359,379,384,393,396,401,403,415,416,424,427,428,430,486,491,
492,574,575,586,594,639,684],[1,3,5,6,8,10,12,13,14,29,34,37,38,40,42,51,71,
75,76,78,79,82,84,85,87,89,90,93,94,141,146,147,161,165,170,175,178,179,180,
182,192,228,233,236,238,239,240,242,243,245,252,257,259,265,270,272,273,274,
276,349,363,370,371,379,384,385,396,400,402,404,414,415,417,421,431,433,470,
475,476,481,482,492,558,565,574,581,598,634,685],[1,3,5,6,7,11,12,29,32,37,40,
42,43,50,70,71,75,76,77,79,81,82,88,90,139,145,152,154,161,168,170,171,173,
175,179,180,182,189,191,229,231,232,238,242,251,252,254,259,261,262,270,349,
376,385,401,402,403,407,417,418,427,428,430,432,433,474,479,481,483,491,558,
567,594,599,641,686],[1,3,5,6,7,8,9,10,11,12,13,14,15,26,29,30,32,34,35,38,39,
40,43,45,52,70,72,73,74,75,76,77,78,79,80,82,84,85,86,87,88,89,90,91,92,93,94,
138,141,142,143,146,147,149,152,154,155,158,160,162,163,165,166,168,169,170,
172,176,180,186,187,229,230,231,233,234,235,236,241,242,244,245,246,248,249,
250,253,254,255,256,257,258,260,261,262,263,264,265,267,268,269,271,272,275,
276,277,341,342,344,345,350,353,354,356,357,361,364,365,368,369,375,378,381,
383,388,389,394,397,398,399,403,405,408,411,415,416,421,423,424,426,429,470,
471,472,477,480,483,484,486,488,490,493,495,562,568,570,571,573,578,579,582,
585,586,589,595,635,687],[1,2,5,6,8,12,15,44,46,47,49,75,76,79,81,82,85,90,92,
93,144,156,157,159,164,183,193,232,234,235,239,240,242,251,256,258,272,274,
346,348,351,358,362,374,391,486,491,492,557,561,639,688],[1,3,5,6,12,13,14,29,
32,37,40,42,43,51,75,76,79,81,82,83,84,89,90,94,139,145,152,154,161,168,170,
171,173,175,178,180,181,182,192,232,233,236,237,242,245,247,251,265,266,276,
278,349,363,370,371,372,373,377,392,401,403,404,427,428,430,470,473,485,489,
491,581,591,594,596,636,689],[1,3,5,6,7,8,10,11,12,29,34,37,38,40,42,50,70,75,
76,77,78,79,82,83,85,87,88,90,93,141,146,147,161,165,170,175,180,181,182,189,
191,228,229,231,237,239,240,242,243,247,254,257,261,262,266,272,273,274,278,
349,372,373,376,377,379,384,392,396,400,407,414,415,418,421,431,432,476,478,
483,489,492,494,565,574,591,593,599,640,690],[1,3,5,6,7,11,12,29,30,32,35,37,
40,42,43,70,71,75,76,77,79,81,82,88,90,139,145,152,154,160,161,166,168,169,
170,171,173,175,180,182,229,231,232,238,242,251,252,254,259,261,262,270,349,
354,369,383,398,401,403,408,427,428,430,474,479,481,483,491,585,587,590,594,
641,691],[1,2,5,6,7,8,9,10,11,12,13,14,15,27,36,44,46,47,48,49,70,72,73,74,75,
76,77,78,79,80,82,84,85,86,87,88,89,90,91,92,93,94,148,150,156,157,159,164,
167,174,177,183,190,193,229,230,231,233,234,235,236,241,242,244,245,246,248,
249,250,253,254,255,256,257,258,260,261,262,263,264,265,267,268,269,271,272,
275,276,277,343,346,348,351,355,358,360,374,380,386,387,390,395,406,409,419,
420,425,470,471,472,477,480,483,484,486,488,490,493,495,557,559,564,566,572,
580,583,601,635,692],[1,3,5,6,9,10,12,26,29,32,37,38,40,42,43,75,76,78,79,81,
82,87,90,91,139,141,142,145,147,152,154,161,163,168,170,171,173,175,180,182,
228,230,232,242,243,248,251,257,264,273,275,345,349,366,382,400,401,403,411,
412,414,421,426,427,428,429,430,431,476,484,491,560,565,573,594,637,693],[1,3,
5,6,12,13,14,29,32,37,40,42,43,45,52,75,76,79,81,82,83,84,89,90,94,138,139,
145,152,154,161,162,168,170,171,173,175,180,182,186,232,233,236,237,242,245,
247,251,265,266,276,278,349,361,388,389,399,401,403,423,427,428,430,470,473,
485,489,491,562,569,577,594,636,694],[1,2,5,6,12,13,14,36,44,46,47,75,76,79,
81,82,83,84,89,90,94,144,157,159,164,177,183,190,193,232,233,236,237,242,245,
247,251,265,266,276,278,351,355,362,391,406,409,425,470,473,485,489,491,561,
564,584,636,695],[1,2,3,4,9,11,14,15,16,17,18,19,20,21,22,23,24,25,26,27,35,
36,39,45,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,80,97,
104,106,107,108,109,110,123,124,125,126,127,128,129,130,131,132,133,134,135,
136,150,158,184,194,196,197,198,200,204,207,209,211,212,214,215,217,218,219,
222,224,227,279,280,281,282,283,284,285,325,327,329,330,331,332,333,334,336,
337,338,339,340,434,437,447,498,499,500,501,502,503,504,505,549,550,604,605,
606,607,643,696],[1,3,4,5,6,11,12,18,19,24,28,29,31,32,33,35,37,42,59,70,71,
75,76,81,96,101,108,113,119,139,140,145,152,169,182,185,188,201,204,232,262,
270,298,302,319,322,383,410,428,439,479,523,535,543,590,621,653,697],[1,2,5,7,
8,9,11,13,14,15,16,27,36,44,48,49,57,70,77,80,82,85,86,89,91,92,94,107,148,
150,156,157,167,190,194,197,198,222,230,234,236,246,249,254,263,267,268,317,
343,374,395,409,419,446,447,471,532,566,614,616,617,619,698],[1,2,4,5,6,12,16,
25,28,31,33,41,44,46,47,64,75,76,79,81,82,90,98,117,137,140,144,151,153,157,
159,164,183,185,188,193,232,242,251,292,299,303,308,309,317,347,351,362,367,
391,410,413,440,491,526,541,561,588,647,662,699],[1,3,4,5,6,12,14,17,18,23,29,
31,33,37,41,42,43,45,54,75,79,81,83,94,97,102,112,114,118,151,153,154,162,171,
173,182,188,209,226,245,251,266,287,319,323,326,367,399,430,461,485,507,515,
537,569,626,661,700],[1,2,5,6,12,21,44,46,47,58,75,76,79,81,82,90,144,157,159,
164,183,193,232,242,251,291,301,351,362,391,456,491,561,646,701],[1,3,4,5,6,7,
12,18,19,24,28,29,30,31,32,33,37,42,59,71,75,76,77,81,96,99,101,113,119,139,
140,145,152,166,182,185,188,201,205,232,261,270,298,302,319,322,369,410,428,
439,474,523,535,543,587,621,654,702],[1,2,5,7,9,10,11,13,14,15,21,27,36,44,48,
49,58,70,72,77,80,87,89,90,91,92,94,123,148,150,156,167,183,190,211,212,215,
218,229,246,253,255,258,260,268,275,276,301,346,355,380,387,395,437,456,495,
528,580,612,625,628,630,703],[1,3,4,5,6,12,17,18,23,28,29,31,32,33,37,40,41,
42,43,54,75,76,79,81,82,90,95,102,112,113,114,118,120,137,139,140,145,151,152,
153,154,161,168,170,171,173,175,180,182,185,188,208,226,232,242,251,286,287,
300,312,314,319,323,326,347,349,367,401,403,410,413,427,428,430,461,466,491,
507,514,515,521,531,535,537,588,594,626,631,651,660,666,704],[1,2,4,5,6,12,14,
23,25,28,31,33,36,41,44,46,47,56,75,79,81,83,94,95,97,98,102,117,137,144,151,
153,164,185,188,190,193,217,223,245,251,266,286,287,299,303,309,347,362,367,
425,448,485,515,526,531,584,623,661,705],[1,3,4,5,6,12,14,17,20,23,31,32,33,
37,40,41,43,51,62,75,79,81,83,94,97,102,105,118,120,139,151,153,168,173,175,
178,181,188,213,219,245,251,266,287,314,324,326,367,371,372,401,451,485,511,
514,515,596,629,661,706],[1,2,3,5,6,12,16,22,29,32,37,40,42,43,44,46,47,55,75,
76,79,81,82,90,115,121,122,139,144,145,152,154,157,159,161,164,168,170,171,
173,175,180,182,183,193,232,242,251,288,289,292,294,295,304,305,306,311,317,
349,351,362,391,401,403,427,428,430,435,445,491,509,518,525,561,594,645,647,
707],[1,3,4,5,6,12,17,20,23,28,29,31,32,33,37,40,41,42,43,62,75,76,79,81,82,
90,95,100,102,105,112,118,120,137,139,140,145,151,152,153,154,161,168,170,171,
173,175,180,182,185,188,202,213,232,242,251,286,287,312,314,316,323,324,326,
347,349,367,401,403,410,413,427,428,430,451,468,491,507,508,511,514,515,521,
531,588,594,609,629,651,658,666,708],[1,2,4,5,6,11,12,19,25,27,28,31,33,41,44,
46,47,63,70,71,75,76,81,98,101,103,108,117,137,140,144,148,153,159,185,188,
193,203,224,232,262,270,299,303,308,318,322,391,410,413,420,441,479,536,541,
543,603,622,653,709],[1,2,4,5,6,12,16,21,25,28,31,33,41,44,46,47,53,75,76,79,
81,82,90,98,117,137,140,144,151,153,157,159,164,183,185,188,193,232,242,251,
291,292,299,301,303,308,309,317,347,351,362,367,391,410,413,449,491,526,541,
561,588,646,647,662,710],[1,2,4,5,6,12,18,20,25,28,31,33,41,44,46,47,65,75,76,
79,81,82,90,98,100,105,113,114,117,137,140,144,151,153,157,159,164,183,185,
188,193,195,221,232,242,251,299,300,303,308,309,316,319,324,347,351,362,367,
391,410,413,438,455,491,508,511,526,535,537,541,561,588,615,618,658,660,662,
711],[1,3,4,5,6,11,12,19,20,24,28,31,32,33,40,42,43,50,69,70,71,75,76,81,100,
101,108,116,119,140,145,161,168,171,179,185,188,189,207,216,232,262,270,298,
321,322,324,402,407,410,427,462,479,508,510,543,567,627,653,712],[1,3,4,5,6,
12,13,17,18,23,29,31,33,37,41,42,43,52,54,75,79,81,83,89,102,111,112,114,118,
151,153,154,171,173,182,186,188,225,226,251,265,266,287,319,323,326,367,423,
430,461,473,507,515,537,577,626,663,713],[1,2,3,4,5,6,12,17,22,24,25,28,29,31,
32,33,37,40,41,42,43,44,46,47,66,75,76,79,81,82,90,96,98,112,115,116,117,118,
119,120,121,122,137,139,140,144,145,151,152,153,154,157,159,161,164,168,170,
171,173,175,180,182,183,185,188,193,206,210,232,242,251,288,289,294,295,298,
299,302,303,304,305,306,308,309,311,312,314,320,321,323,326,347,349,351,362,
367,391,401,403,410,413,427,428,430,444,454,460,491,507,509,510,514,518,521,
523,525,526,538,541,561,588,594,608,613,645,649,651,662,714],[1,2,4,5,6,12,23,
25,28,31,33,41,44,46,47,56,75,76,79,81,82,90,95,98,102,117,137,140,144,151,
153,157,159,164,183,185,188,193,223,232,242,251,286,287,299,303,308,309,347,
351,362,367,391,410,413,448,491,515,526,531,541,561,588,623,662,666,715],[1,2,
5,6,12,16,44,46,47,57,75,76,79,81,82,90,144,157,159,164,183,193,232,242,251,
292,317,351,362,391,446,491,561,647,716],[1,2,4,5,6,12,19,25,28,31,33,41,44,
46,47,63,75,76,79,81,82,90,98,101,103,117,137,140,144,151,153,157,159,164,183,
185,188,193,203,232,242,251,299,303,308,309,318,322,347,351,362,367,391,410,
413,441,491,526,536,541,543,561,588,622,648,662,717],[1,2,5,6,12,16,44,46,47,
68,75,76,79,81,82,90,144,157,159,164,183,193,232,242,251,292,317,351,362,391,
453,491,561,647,718],[1,2,5,6,12,21,44,46,47,61,75,76,79,81,82,90,144,157,159,
164,183,193,232,242,251,291,301,351,362,391,450,491,561,646,719],[1,3,4,5,6,
12,18,19,24,28,29,31,32,33,37,40,41,42,43,59,75,76,79,81,82,90,96,101,103,113,
114,116,119,137,139,140,145,151,152,153,154,161,168,170,171,173,175,180,182,
185,188,199,201,232,242,251,298,300,302,318,319,320,321,322,347,349,367,401,
403,410,413,427,428,430,439,443,491,510,523,535,536,537,538,543,588,594,611,
621,648,649,660,720],[1,3,4,5,6,12,19,20,24,28,29,31,32,33,37,40,41,42,43,69,
75,76,79,81,82,90,96,100,101,103,105,116,119,137,139,140,145,151,152,153,154,
161,168,170,171,173,175,180,182,185,188,216,220,232,242,251,298,302,316,318,
320,321,322,324,347,349,367,401,403,410,413,427,428,430,462,465,491,508,510,
511,523,536,538,543,588,594,627,633,648,649,658,721],[1,2,4,5,6,12,21,25,28,
31,33,41,44,46,47,60,75,76,79,81,82,90,98,117,137,140,144,151,153,157,159,164,
183,185,188,193,232,242,251,291,299,301,303,308,309,347,351,362,367,391,410,
413,459,491,526,541,561,588,646,662,722],[1,2,3,5,6,12,21,22,29,32,37,40,42,
43,44,46,47,67,75,76,79,81,82,90,115,121,122,139,144,145,152,154,157,159,161,
164,168,170,171,173,175,180,182,183,193,232,242,251,288,289,291,294,295,301,
304,305,306,311,349,351,362,391,401,403,427,428,430,463,467,491,509,518,525,
561,594,645,646,723],[1,5,6,7,8,9,10,11,12,13,14,15,70,71,72,73,74,75,76,77,
78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,228,229,230,231,232,233,
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,
272,273,274,275,276,277,278,469,470,471,472,473,474,475,476,477,478,479,480,
481,482,483,484,485,486,487,488,489,490,491,492,493,494,495,496,497,634,635,
636,637,638,639,640,641,642,724],[1,2,3,5,6,7,11,12,22,27,29,30,32,35,37,40,
42,43,44,46,47,50,70,71,75,76,77,79,81,82,88,90,104,115,121,122,139,144,145,
148,152,154,157,159,160,161,164,166,168,169,170,171,173,174,175,179,180,182,
183,189,191,193,229,231,232,238,242,251,252,254,259,261,262,270,288,289,294,
295,296,304,305,306,307,311,349,351,354,362,369,376,380,383,385,390,391,398,
401,402,403,407,408,417,418,419,420,427,428,430,432,433,474,479,481,483,491,
509,512,518,520,525,534,542,558,561,567,585,587,590,594,599,601,603,641,645,
667,668,679,686,691,725],[1,4,5,6,7,11,12,19,28,31,33,41,70,71,75,76,77,79,81,
82,88,90,99,101,103,108,137,140,151,153,185,188,229,231,232,238,242,251,252,
254,259,261,262,270,315,318,322,347,367,410,413,474,479,481,483,491,536,543,
588,641,648,653,654,726],[1,2,5,6,9,10,12,16,44,46,47,48,75,76,78,79,81,82,87,
90,91,107,144,157,159,164,167,183,193,228,230,232,242,243,248,251,257,264,273,
275,292,317,343,351,360,362,386,387,391,476,484,491,532,559,561,637,647,680,
727],[1,2,3,5,6,12,13,14,22,29,32,36,37,40,42,43,44,45,46,47,51,52,75,76,79,
81,82,83,84,89,90,94,109,115,121,122,138,139,144,145,152,154,157,159,161,162,
164,168,170,171,173,175,177,178,180,181,182,183,186,190,192,193,232,233,236,
237,242,245,247,251,265,266,276,278,288,289,290,294,295,304,305,306,311,313,
349,351,355,361,362,363,370,371,372,373,377,388,389,391,392,399,401,403,404,
406,409,423,425,427,428,430,470,473,485,489,491,509,516,518,519,522,525,540,
561,562,564,569,577,581,584,591,594,596,636,645,652,655,689,694,695,728],[1,4,
5,6,12,13,14,23,28,31,33,41,75,76,79,81,82,83,84,89,90,94,95,97,102,111,137,
140,151,153,185,188,232,233,236,237,242,245,247,251,265,266,276,278,286,287,
293,347,367,410,413,470,473,485,489,491,515,531,588,636,661,663,666,729],[1,2,
3,5,6,7,8,9,10,11,12,13,14,15,22,26,27,29,30,32,34,35,36,37,38,39,40,42,43,44,
45,46,47,48,49,50,51,52,70,72,73,74,75,76,77,78,79,80,82,84,85,86,87,88,89,90,
91,92,93,94,104,106,109,110,115,121,122,138,141,142,143,146,147,148,149,150,
152,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,172,
174,175,176,177,178,180,182,183,184,186,187,189,190,191,192,193,229,230,231,
233,234,235,236,241,242,244,245,246,248,249,250,253,254,255,256,257,258,260,
261,262,263,264,265,267,268,269,271,272,275,276,277,290,294,295,296,297,304,
305,307,310,311,313,325,341,342,343,344,345,346,348,349,350,351,352,353,354,
355,356,357,358,359,360,361,363,364,365,366,368,369,370,371,374,375,376,378,
380,381,382,383,386,387,388,389,390,393,394,395,397,398,399,403,404,405,406,
407,408,409,411,412,415,416,418,419,420,421,422,423,424,425,426,429,432,470,
471,472,477,480,483,484,486,488,490,493,495,506,509,512,513,516,517,519,520,
522,524,527,529,530,533,534,539,540,542,557,559,560,562,564,566,568,570,571,
572,573,575,576,578,579,580,581,582,583,585,586,589,592,595,599,600,601,602,
635,650,655,656,657,659,664,665,668,681,687,692,730],[1,2,3,5,6,8,12,15,22,29,
32,34,37,39,40,42,43,44,46,47,49,75,76,79,81,82,85,90,92,93,106,115,121,122,
139,144,145,146,149,152,154,156,157,159,161,164,165,168,170,171,173,175,176,
180,182,183,193,232,234,235,239,240,242,251,256,258,272,274,288,289,294,295,
297,304,305,306,311,341,342,346,348,349,351,352,358,359,362,374,379,384,391,
393,396,401,403,415,416,424,427,428,430,486,491,492,506,509,513,518,525,530,
539,557,561,574,575,586,594,639,645,650,684,688,731],[1,2,5,6,8,12,15,21,44,
46,47,49,75,76,79,81,82,85,90,92,93,123,144,156,157,159,164,183,193,232,234,
235,239,240,242,251,256,258,272,274,291,301,346,348,351,358,362,374,391,486,
491,492,528,557,561,639,646,688,732],[1,2,3,5,6,9,10,12,22,26,29,32,37,38,40,
42,43,44,46,47,48,75,76,78,79,81,82,87,90,91,110,115,121,122,139,141,142,144,
145,147,152,154,157,159,161,163,164,167,168,170,171,173,175,180,182,183,193,
228,230,232,242,243,248,251,257,264,273,275,288,289,294,295,304,305,306,310,
311,343,345,349,351,360,362,366,382,386,387,391,400,401,403,411,412,414,421,
426,427,428,429,430,431,476,484,491,509,517,518,524,525,529,533,559,560,561,
565,573,594,637,645,659,680,693,733],[1,2,3,4,5,6,12,14,17,18,20,22,23,24,25,
28,29,31,32,33,36,37,40,41,42,43,44,45,46,47,51,54,56,62,65,66,75,79,81,83,94,
95,96,97,98,102,105,109,112,114,115,116,117,118,119,120,121,122,131,137,139,
144,151,153,154,162,164,168,171,173,175,178,181,182,185,188,190,193,195,202,
206,208,209,210,213,217,219,223,226,245,251,266,286,287,288,289,295,299,302,
303,305,309,313,314,319,320,321,323,324,326,329,335,347,362,367,371,372,399,
401,425,430,438,444,448,451,454,461,485,507,511,514,515,516,525,526,531,537,
538,554,569,584,596,608,609,618,623,626,629,631,652,661,669,700,705,706,734],[
1,2,4,5,6,12,16,21,25,28,31,33,41,44,46,47,53,58,60,75,76,79,81,82,90,98,117,
128,137,140,144,151,153,157,159,164,183,185,188,193,232,242,251,291,292,299,
301,303,308,309,317,347,351,362,367,391,410,413,449,456,459,491,526,541,561,
588,646,647,662,701,710,722,735],[1,2,3,4,5,6,12,16,22,25,28,29,31,32,33,37,
40,41,42,43,44,46,47,55,64,68,75,76,79,81,82,90,98,115,117,121,122,127,137,
139,140,144,145,151,152,153,154,157,159,161,164,168,170,171,173,175,180,182,
183,185,188,193,232,242,251,288,289,292,294,295,299,303,304,305,306,308,309,
311,317,347,349,351,362,367,391,401,403,410,413,427,428,430,435,440,445,453,
491,509,518,525,526,541,561,588,594,645,647,662,699,707,718,736],[1,2,3,4,5,6,
12,21,22,25,28,29,31,32,33,37,40,41,42,43,44,46,47,60,61,67,75,76,79,81,82,90,
98,115,117,121,122,130,137,139,140,144,145,151,152,153,154,157,159,161,164,
168,170,171,173,175,180,182,183,185,188,193,232,242,251,288,289,291,294,295,
299,301,303,304,305,306,308,309,311,347,349,351,362,367,391,401,403,410,413,
427,428,430,450,459,463,467,491,509,518,525,526,541,561,588,594,645,646,662,
719,722,723,737],[1,2,4,5,6,12,16,21,25,28,31,33,41,44,46,47,53,68,75,76,79,
81,82,90,98,117,133,137,140,144,151,153,157,159,164,183,185,188,193,232,242,
251,291,292,299,301,303,308,309,317,347,351,362,367,391,410,413,449,453,491,
526,541,561,588,646,647,662,710,718,738],[1,2,3,4,5,6,12,16,17,21,22,24,25,28,
29,31,32,33,37,40,41,42,43,44,46,47,53,55,66,67,75,76,79,81,82,90,96,98,112,
115,116,117,118,119,120,121,122,124,137,139,140,144,145,151,152,153,154,157,
159,161,164,168,170,171,173,175,180,182,183,185,188,193,206,210,232,242,251,
288,289,291,292,294,295,298,299,301,302,303,304,305,306,308,309,311,312,314,
317,320,321,323,326,347,349,351,362,367,391,401,403,410,413,427,428,430,435,
444,445,449,454,460,463,467,491,507,509,510,514,518,521,523,525,526,538,541,
544,561,588,594,608,613,645,646,647,649,651,662,707,710,714,723,739],[1,2,4,5,
6,12,16,21,25,28,31,33,41,44,46,47,53,57,64,75,76,79,81,82,90,98,117,134,137,
140,144,151,153,157,159,164,183,185,188,193,232,242,251,291,292,299,301,303,
308,309,317,347,351,362,367,391,410,413,440,446,449,491,526,541,561,588,646,
647,662,699,710,716,740],[1,2,4,5,6,12,16,19,21,23,25,28,31,33,41,44,46,47,53,
56,60,63,64,75,76,79,81,82,90,95,98,101,102,103,117,126,137,140,144,151,153,
157,159,164,183,185,188,193,203,223,232,242,251,286,287,291,292,299,301,303,
308,309,317,318,322,347,351,362,367,391,410,413,440,441,448,449,459,491,515,
526,531,536,541,543,555,561,588,622,623,646,647,648,662,666,699,710,715,717,
722,741],[1,2,3,5,7,9,10,11,13,14,15,21,22,26,27,29,30,35,36,38,39,40,44,45,
48,49,50,51,52,58,61,67,70,72,77,80,87,89,90,91,92,94,104,106,109,110,122,123,
125,142,147,148,149,150,156,158,162,163,166,167,169,170,176,178,183,184,186,
187,189,190,196,211,212,215,218,227,229,246,253,255,258,260,268,275,276,297,
301,307,310,311,313,325,331,337,338,339,345,346,355,356,357,364,365,370,380,
382,387,389,395,397,408,418,422,424,437,450,456,463,495,513,527,528,533,540,
542,548,550,580,582,600,612,620,625,628,630,632,657,673,674,676,678,703,742],[
1,2,4,5,6,12,16,18,20,21,25,28,31,33,41,44,46,47,53,65,75,76,79,81,82,90,98,
100,105,113,114,117,136,137,140,144,151,153,157,159,164,183,185,188,193,195,
221,232,242,251,291,292,299,300,301,303,308,309,316,317,319,324,347,351,362,
367,391,410,413,438,449,455,491,508,511,526,535,537,541,546,561,588,615,618,
646,647,658,660,662,710,711,743],[1,2,3,5,7,8,9,11,13,14,15,16,22,26,27,29,30,
34,35,36,39,40,44,45,48,49,50,51,52,55,57,68,70,77,80,82,85,86,89,91,92,94,
104,106,107,109,110,122,129,142,148,149,150,156,157,158,162,163,165,166,167,
169,172,176,178,180,184,186,189,190,194,197,198,200,214,222,230,234,236,246,
249,254,263,267,268,297,304,307,310,313,317,325,332,333,334,340,342,343,344,
356,357,359,361,368,374,376,394,395,398,404,409,411,419,422,435,446,447,453,
471,517,520,522,527,532,539,547,549,566,570,576,610,614,616,617,619,624,664,
670,671,672,677,698,744],[1,2,3,4,5,6,12,17,18,20,22,23,24,25,28,29,31,32,33,
37,40,41,42,43,44,46,47,54,56,62,65,66,75,76,79,81,82,90,95,96,98,100,102,105,
112,113,114,115,116,117,118,119,120,121,122,131,137,139,140,144,145,151,152,
153,154,157,159,161,164,168,170,171,173,175,180,182,183,185,188,193,195,202,
206,208,210,213,221,223,226,232,242,251,286,287,288,289,294,295,298,299,300,
302,303,304,305,306,308,309,311,312,314,316,319,320,321,323,324,326,335,347,
349,351,362,367,391,401,403,410,413,427,428,430,438,444,448,451,454,455,460,
461,466,468,491,507,508,509,510,511,514,515,518,521,523,525,526,531,535,537,
538,541,554,556,561,588,594,608,609,613,615,618,623,626,629,631,645,649,651,
658,660,662,666,669,704,708,711,714,715,745],[1,2,3,5,6,12,16,22,29,32,37,40,
42,43,44,46,47,55,57,68,75,76,79,81,82,90,115,121,122,129,139,144,145,152,154,
157,159,161,164,168,170,171,173,175,180,182,183,193,232,242,251,288,289,292,
294,295,304,305,306,311,317,349,351,362,391,401,403,427,428,430,435,445,446,
453,491,509,518,525,547,561,594,645,647,707,716,718,746],[1,2,4,5,6,12,16,21,
25,28,31,33,41,44,46,47,53,61,75,76,79,81,82,90,98,117,135,137,140,144,151,
153,157,159,164,183,185,188,193,232,242,251,291,292,299,301,303,308,309,317,
347,351,362,367,391,410,413,449,450,491,526,541,561,588,646,647,662,710,719,
747],[1,2,3,4,5,6,11,12,17,18,19,20,22,24,25,27,28,29,31,32,33,35,37,40,41,42,
43,44,46,47,50,59,63,65,66,69,70,71,75,76,81,96,98,100,101,103,104,108,112,
113,115,116,117,118,119,120,121,122,132,137,139,140,144,145,148,152,153,159,
161,168,169,171,179,182,185,188,189,193,199,201,203,204,206,207,210,216,220,
221,224,232,262,270,288,294,295,298,299,302,303,306,307,308,312,314,318,319,
321,322,323,324,328,336,383,391,402,407,410,413,420,427,428,438,439,441,444,
460,462,479,508,510,518,521,523,534,535,536,541,543,545,567,590,603,611,613,
615,621,622,627,633,653,667,675,697,709,712,748],[1,2,3,4,5,6,12,17,18,19,20,
22,24,25,28,29,31,32,33,37,40,41,42,43,44,46,47,59,63,65,66,69,75,76,79,81,82,
90,96,98,100,101,103,105,112,113,114,115,116,117,118,119,120,121,122,132,137,
139,140,144,145,151,152,153,154,157,159,161,164,168,170,171,173,175,180,182,
183,185,188,193,195,199,201,203,206,210,216,220,221,232,242,251,288,289,294,
295,298,299,300,302,303,304,305,306,308,309,311,312,314,316,318,319,320,321,
322,323,324,326,328,347,349,351,362,367,391,401,403,410,413,427,428,430,438,
439,441,443,444,454,455,460,462,465,491,507,508,509,510,511,514,518,521,523,
525,526,535,536,537,538,541,543,545,552,561,588,594,608,611,613,615,618,621,
622,627,633,645,648,649,651,658,660,662,675,711,714,717,720,721,749],[1,2,3,5,
6,12,21,22,29,32,37,40,42,43,44,46,47,58,61,67,75,76,79,81,82,90,115,121,122,
125,139,144,145,152,154,157,159,161,164,168,170,171,173,175,180,182,183,193,
232,242,251,288,289,291,294,295,301,304,305,306,311,349,351,362,391,401,403,
427,428,430,450,456,463,467,491,509,518,525,548,561,594,645,646,701,719,723,
750],[1,2,5,6,7,8,9,10,11,12,13,14,15,27,36,44,46,47,48,49,70,71,72,73,74,75,
76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,144,148,150,156,157,
159,164,167,174,177,183,190,193,228,229,230,231,232,233,234,235,236,237,238,
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,
277,278,343,346,348,351,355,358,360,362,374,380,386,387,390,391,395,406,409,
419,420,425,469,470,471,472,473,474,475,476,477,478,479,480,481,482,483,484,
485,486,487,488,489,490,491,492,493,494,495,496,497,557,559,561,564,566,572,
580,583,584,601,603,634,635,636,637,638,639,640,641,642,679,680,688,692,695,
724,751],[1,3,5,6,7,8,9,10,11,12,13,14,15,26,29,32,34,37,38,39,40,42,43,50,51,
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,
139,141,142,145,146,147,149,152,154,161,163,165,168,170,171,173,175,176,178,
179,180,181,182,184,189,191,192,228,229,230,231,232,233,234,235,236,237,238,
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,
277,278,341,342,345,349,352,359,363,366,370,371,372,373,376,377,379,382,384,
385,392,393,396,400,401,402,403,404,407,411,412,414,415,416,417,418,421,422,
424,426,427,428,429,430,431,432,433,469,470,471,472,473,474,475,476,477,478,
479,480,481,482,483,484,485,486,487,488,489,490,491,492,493,494,495,496,497,
558,560,563,565,567,573,574,575,576,581,586,591,592,593,594,596,597,598,599,
600,602,634,635,636,637,638,639,640,641,642,681,682,683,684,685,686,689,690,
693,724,752],[1,3,5,6,7,8,9,10,11,12,13,14,15,26,29,30,32,34,35,37,38,39,40,
42,43,45,52,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,
92,93,94,138,139,141,142,143,145,146,147,149,152,154,155,158,160,161,162,163,
165,166,168,169,170,171,172,173,175,176,180,182,186,187,228,229,230,231,232,
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,
271,272,273,274,275,276,277,278,341,342,344,345,349,350,352,353,354,356,357,
359,361,364,365,366,368,369,375,378,379,381,382,383,384,388,389,393,394,396,
397,398,399,400,401,403,405,408,411,412,414,415,416,421,423,424,426,427,428,
429,430,431,469,470,471,472,473,474,475,476,477,478,479,480,481,482,483,484,
485,486,487,488,489,490,491,492,493,494,495,496,497,560,562,565,568,569,570,
571,573,574,575,577,578,579,582,585,586,587,589,590,594,595,634,635,636,637,
638,639,640,641,642,684,687,691,693,694,724,753],[1,2,3,5,6,8,12,15,21,22,29,
32,34,37,39,40,42,43,44,46,47,49,67,75,76,79,81,82,85,90,92,93,106,115,121,
122,123,139,144,145,146,149,152,154,156,157,159,161,164,165,168,170,171,173,
175,176,180,182,183,193,196,232,234,235,239,240,242,251,256,258,272,274,288,
289,291,294,295,297,301,304,305,306,311,341,342,346,348,349,351,352,358,359,
362,374,379,384,391,393,396,401,403,415,416,424,427,428,430,463,467,486,491,
492,506,509,513,518,525,528,530,539,557,561,574,575,586,594,620,639,645,646,
650,684,688,723,731,732,754],[1,2,5,6,7,11,12,21,27,44,46,47,58,70,71,75,76,
77,79,81,82,88,90,144,148,157,159,164,174,183,193,215,229,231,232,238,242,251,
252,254,259,261,262,270,291,301,351,362,380,390,391,419,420,456,474,479,481,
483,491,561,601,603,628,641,646,679,701,755],[1,2,3,5,6,9,10,12,16,22,26,29,
32,37,38,40,42,43,44,46,47,48,55,75,76,78,79,81,82,87,90,91,107,110,115,121,
122,139,141,142,144,145,147,152,154,157,159,161,163,164,167,168,170,171,173,
175,180,182,183,193,200,228,230,232,242,243,248,251,257,264,273,275,288,289,
292,294,295,304,305,306,310,311,317,343,345,349,351,360,362,366,382,386,387,
391,400,401,403,411,412,414,421,426,427,428,429,430,431,435,445,476,484,491,
509,517,518,524,525,529,532,533,559,560,561,565,573,594,624,637,645,647,659,
680,693,707,727,733,756],[1,3,4,5,6,7,11,12,19,20,24,28,29,31,32,33,37,40,41,
42,43,50,69,70,71,75,76,77,79,81,82,88,90,96,99,100,101,103,105,108,116,119,
137,139,140,145,151,152,153,154,161,168,170,171,173,175,179,180,182,185,188,
189,191,207,216,220,229,231,232,238,242,251,252,254,259,261,262,270,298,302,
315,316,318,320,321,322,324,347,349,367,376,385,401,402,403,407,410,413,417,
418,427,428,430,432,433,458,462,465,474,479,481,483,491,508,510,511,523,536,
538,543,558,567,588,594,599,627,633,641,648,649,653,654,658,686,712,721,726,
757],[1,2,5,6,12,13,14,16,36,44,46,47,57,75,76,79,81,82,83,84,89,90,94,144,
157,159,164,177,183,190,193,197,232,233,236,237,242,245,247,251,265,266,276,
278,292,317,351,355,362,391,406,409,425,446,470,473,485,489,491,561,564,584,
619,636,647,695,716,758],[1,2,5,6,9,10,12,16,44,46,47,48,57,75,76,78,79,81,82,
87,90,91,107,144,157,159,164,167,183,193,198,228,230,232,242,243,248,251,257,
264,273,275,292,317,343,351,360,362,386,387,391,446,476,484,491,532,559,561,
617,637,647,680,716,727,759],[1,2,5,6,12,13,14,21,36,44,46,47,58,75,76,79,81,
82,83,84,89,90,94,144,157,159,164,177,183,190,193,211,232,233,236,237,242,245,
247,251,265,266,276,278,291,301,351,355,362,391,406,409,425,456,470,473,485,
489,491,561,564,584,625,636,646,695,701,760],[1,2,5,6,8,12,15,21,44,46,47,49,
61,75,76,79,81,82,85,90,92,93,123,144,156,157,159,164,183,193,227,232,234,235,
239,240,242,251,256,258,272,274,291,301,346,348,351,358,362,374,391,450,486,
491,492,528,557,561,632,639,646,688,719,732,761],[1,3,4,5,6,7,11,12,18,19,24,
28,29,30,31,32,33,35,37,40,41,42,43,59,70,71,75,76,77,79,81,82,88,90,96,99,
101,103,108,113,114,116,119,137,139,140,145,151,152,153,154,160,161,166,168,
169,170,171,173,175,180,182,185,188,199,201,204,205,229,231,232,238,242,251,
252,254,259,261,262,270,298,300,302,315,318,319,320,321,322,347,349,354,367,
369,383,398,401,403,408,410,413,427,428,430,439,442,443,474,479,481,483,491,
510,523,535,536,537,538,543,585,587,588,590,594,611,621,641,648,649,653,654,
660,691,697,702,720,726,762],[1,2,5,6,8,12,15,21,44,46,47,49,58,75,76,79,81,
82,85,90,92,93,123,144,156,157,159,164,183,193,212,232,234,235,239,240,242,
251,256,258,272,274,291,301,346,348,351,358,362,374,391,456,486,491,492,528,
557,561,630,639,646,688,701,732,763],[1,2,5,6,8,12,15,16,44,46,47,49,57,75,76,
79,81,82,85,90,92,93,144,156,157,159,164,183,193,194,232,234,235,239,240,242,
251,256,258,272,274,292,317,346,348,351,358,362,374,391,446,486,491,492,557,
561,614,639,647,688,716,764],[1,2,5,6,9,10,12,21,44,46,47,48,58,75,76,78,79,
81,82,87,90,91,144,157,159,164,167,183,193,218,228,230,232,242,243,248,251,
257,264,273,275,291,301,343,351,360,362,386,387,391,456,476,484,491,559,561,
612,637,646,680,701,765],[1,2,5,6,7,11,12,16,27,44,46,47,57,70,71,75,76,77,79,
81,82,88,90,144,148,157,159,164,174,183,193,222,229,231,232,238,242,251,252,
254,259,261,262,270,292,317,351,362,380,390,391,419,420,446,474,479,481,483,
491,561,601,603,616,641,647,679,716,766],[1,2,4,5,6,7,11,12,19,25,27,28,31,33,
41,44,46,47,63,70,71,75,76,77,79,81,82,88,90,98,99,101,103,108,117,137,140,
144,148,151,153,157,159,164,174,183,185,188,193,203,224,229,231,232,238,242,
251,252,254,259,261,262,270,299,303,308,309,315,318,322,347,351,362,367,380,
390,391,410,413,419,420,441,457,474,479,481,483,491,526,536,541,543,561,588,
601,603,622,641,648,653,654,662,679,709,717,726,767],[1,2,5,6,9,10,12,16,44,
46,47,48,68,75,76,78,79,81,82,87,90,91,107,144,157,159,164,167,183,193,214,
228,230,232,242,243,248,251,257,264,273,275,292,317,343,351,360,362,386,387,
391,453,476,484,491,532,559,561,610,637,647,680,718,727,768],[1,3,4,5,6,12,13,
14,17,18,23,28,29,31,32,33,37,40,41,42,43,45,52,54,75,76,79,81,82,83,84,89,90,
94,95,97,102,111,112,113,114,118,120,137,138,139,140,145,151,152,153,154,161,
162,168,170,171,173,175,180,182,185,186,188,208,209,225,226,232,233,236,237,
242,245,247,251,265,266,276,278,286,287,293,300,312,314,319,323,326,347,349,
361,367,388,389,399,401,403,410,413,423,427,428,430,452,461,466,470,473,485,
489,491,507,514,515,521,531,535,537,562,569,577,588,594,626,631,636,651,660,
661,663,666,694,700,704,713,729,769],[1,3,4,5,6,12,13,14,17,20,23,28,29,31,32,
33,37,40,41,42,43,51,62,75,76,79,81,82,83,84,89,90,94,95,97,100,102,105,111,
112,118,120,137,139,140,145,151,152,153,154,161,168,170,171,173,175,178,180,
181,182,185,188,192,202,213,219,232,233,236,237,242,245,247,251,265,266,276,
278,286,287,293,312,314,316,323,324,326,347,349,363,367,370,371,372,373,377,
392,401,403,404,410,413,427,428,430,451,464,468,470,473,485,489,491,507,508,
511,514,515,521,531,581,588,591,594,596,609,629,636,651,658,661,663,666,689,
706,708,729,770],[1,2,4,5,6,12,13,14,23,25,28,31,33,36,41,44,46,47,56,75,76,
79,81,82,83,84,89,90,94,95,97,98,102,111,117,137,140,144,151,153,157,159,164,
177,183,185,188,190,193,217,223,232,233,236,237,242,245,247,251,265,266,276,
278,286,287,293,299,303,308,309,347,351,355,362,367,391,406,409,410,413,425,
436,448,470,473,485,489,491,515,526,531,541,561,564,584,588,623,636,661,662,
663,666,695,705,715,729,771],[1,2,4,5,6,12,16,18,20,21,25,28,31,33,41,44,46,
47,53,57,61,64,65,75,76,79,81,82,90,98,100,105,113,114,117,134,135,136,137,
140,144,151,153,157,159,164,183,185,188,193,195,221,232,242,251,281,291,292,
299,300,301,303,308,309,316,317,319,324,347,351,362,367,391,410,413,438,440,
446,449,450,455,491,508,511,526,535,537,541,546,561,588,615,618,646,647,658,
660,662,699,710,711,716,719,740,743,747,772],[1,2,4,5,6,12,16,19,21,23,25,28,
31,33,41,44,46,47,53,56,57,58,60,63,64,75,76,79,81,82,90,95,98,101,102,103,
117,126,128,134,137,140,144,151,153,157,159,164,183,185,188,193,203,223,232,
242,251,279,286,287,291,292,299,301,303,308,309,317,318,322,347,351,362,367,
391,410,413,440,441,446,448,449,456,459,491,515,526,531,536,541,543,555,561,
588,622,623,646,647,648,662,666,699,701,710,715,716,717,722,735,740,741,773],[
1,2,4,5,6,12,16,19,21,23,25,28,31,33,41,44,46,47,53,56,60,61,63,64,68,75,76,
79,81,82,90,95,98,101,102,103,117,126,133,135,137,140,144,151,153,157,159,164,
183,185,188,193,203,223,232,242,251,280,286,287,291,292,299,301,303,308,309,
317,318,322,347,351,362,367,391,410,413,440,441,448,449,450,453,459,491,515,
526,531,536,541,543,555,561,588,622,623,646,647,648,662,666,699,710,715,717,
718,719,722,738,741,747,774],[1,2,3,4,5,6,12,16,17,21,22,24,25,28,29,31,32,33,
37,40,41,42,43,44,46,47,53,55,58,60,61,66,67,75,76,79,81,82,90,96,98,112,115,
116,117,118,119,120,121,122,124,125,128,130,135,137,139,140,144,145,151,152,
153,154,157,159,161,164,168,170,171,173,175,180,182,183,185,188,193,206,210,
232,242,251,285,288,289,291,292,294,295,298,299,301,302,303,304,305,306,308,
309,311,312,314,317,320,321,323,326,347,349,351,362,367,391,401,403,410,413,
427,428,430,435,444,445,449,450,454,456,459,460,463,467,491,507,509,510,514,
518,521,523,525,526,538,541,544,548,561,588,594,608,613,645,646,647,649,651,
662,701,707,710,714,719,722,723,735,737,739,747,750,775],[1,2,3,4,5,6,12,16,
17,18,19,20,21,22,23,24,25,28,29,31,32,33,37,40,41,42,43,44,46,47,53,54,55,56,
59,60,62,63,64,65,66,67,69,75,76,79,81,82,90,95,96,98,100,101,102,103,105,112,
113,114,115,116,117,118,119,120,121,122,124,126,131,132,136,137,139,140,144,
145,151,152,153,154,157,159,161,164,168,170,171,173,175,180,182,183,185,188,
193,195,199,201,202,203,206,208,210,213,216,220,221,223,226,232,242,251,282,
286,287,288,289,291,292,294,295,298,299,300,301,302,303,304,305,306,308,309,
311,312,314,316,317,318,319,320,321,322,323,324,326,328,335,347,349,351,362,
367,391,401,403,410,413,427,428,430,435,438,439,440,441,443,444,445,448,449,
451,454,455,459,460,461,462,463,465,466,467,468,491,507,508,509,510,511,514,
515,518,521,523,525,526,531,535,536,537,538,541,543,544,545,546,552,554,555,
556,561,588,594,608,609,611,613,615,618,621,622,623,626,627,629,631,633,644,
645,646,647,648,649,651,658,660,662,666,669,675,699,704,707,708,710,711,714,
715,717,720,721,722,723,739,741,743,745,749,776],[1,2,3,4,5,6,12,16,17,21,22,
24,25,28,29,31,32,33,37,40,41,42,43,44,46,47,53,55,57,64,66,67,68,75,76,79,81,
82,90,96,98,112,115,116,117,118,119,120,121,122,124,127,129,133,134,137,139,
140,144,145,151,152,153,154,157,159,161,164,168,170,171,173,175,180,182,183,
185,188,193,206,210,232,242,251,283,288,289,291,292,294,295,298,299,301,302,
303,304,305,306,308,309,311,312,314,317,320,321,323,326,347,349,351,362,367,
391,401,403,410,413,427,428,430,435,440,444,445,446,449,453,454,460,463,467,
491,507,509,510,514,518,521,523,525,526,538,541,544,547,561,588,594,608,613,
645,646,647,649,651,662,699,707,710,714,716,718,723,736,738,739,740,746,777],[
1,2,4,5,6,12,16,18,20,21,25,28,31,33,41,44,46,47,53,58,60,65,68,75,76,79,81,
82,90,98,100,105,113,114,117,128,133,136,137,140,144,151,153,157,159,164,183,
185,188,193,195,221,232,242,251,284,291,292,299,300,301,303,308,309,316,317,
319,324,347,351,362,367,391,410,413,438,449,453,455,456,459,491,508,511,526,
535,537,541,546,561,588,615,618,646,647,658,660,662,701,710,711,718,722,735,
738,743,778],[1,2,3,5,6,7,8,9,10,11,12,13,14,15,22,26,27,29,30,32,34,35,36,37,
38,39,40,42,43,44,45,46,47,48,49,50,51,52,70,71,72,73,74,75,76,77,78,79,80,81,
82,83,84,85,86,87,88,89,90,91,92,93,94,104,106,109,110,115,121,122,138,139,
141,142,143,144,145,146,147,148,149,150,152,154,155,156,157,158,159,160,161,
162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,
181,182,183,184,186,187,189,190,191,192,193,228,229,230,231,232,233,234,235,
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,
274,275,276,277,278,288,289,290,294,295,296,297,304,305,306,307,310,311,313,
325,341,342,343,344,345,346,348,349,350,351,352,353,354,355,356,357,358,359,
360,361,362,363,364,365,366,368,369,370,371,372,373,374,375,376,377,378,379,
380,381,382,383,384,385,386,387,388,389,390,391,392,393,394,395,396,397,398,
399,400,401,402,403,404,405,406,407,408,409,411,412,414,415,416,417,418,419,
420,421,422,423,424,425,426,427,428,429,430,431,432,433,469,470,471,472,473,
474,475,476,477,478,479,480,481,482,483,484,485,486,487,488,489,490,491,492,
493,494,495,496,497,506,509,512,513,516,517,518,519,520,522,524,525,527,529,
530,533,534,539,540,542,557,558,559,560,561,562,563,564,565,566,567,568,569,
570,571,572,573,574,575,576,577,578,579,580,581,582,583,584,585,586,587,589,
590,591,592,593,594,595,596,597,598,599,600,601,602,603,634,635,636,637,638,
639,640,641,642,645,650,652,655,656,657,659,664,665,667,668,679,680,681,682,
683,684,685,686,687,688,689,690,691,692,693,694,695,724,725,728,730,731,733,
751,752,753,779],[1,2,3,5,6,9,10,12,21,22,26,29,32,37,38,40,42,43,44,46,47,48,
58,61,67,75,76,78,79,81,82,87,90,91,110,115,121,122,125,139,141,142,144,145,
147,152,154,157,159,161,163,164,167,168,170,171,173,175,180,182,183,193,218,
228,230,232,242,243,248,251,257,264,273,275,288,289,291,294,295,301,304,305,
306,310,311,331,343,345,349,351,360,362,366,382,386,387,391,400,401,403,411,
412,414,421,426,427,428,429,430,431,450,456,463,467,476,484,491,509,517,518,
524,525,529,533,548,559,560,561,565,573,594,612,637,645,646,659,673,680,693,
701,719,723,733,750,765,780],[1,2,3,5,6,8,12,15,16,22,29,32,34,37,39,40,42,43,
44,46,47,49,55,57,68,75,76,79,81,82,85,90,92,93,106,115,121,122,129,139,144,
145,146,149,152,154,156,157,159,161,164,165,168,170,171,173,175,176,180,182,
183,193,194,232,234,235,239,240,242,251,256,258,272,274,288,289,292,294,295,
297,304,305,306,311,317,333,341,342,346,348,349,351,352,358,359,362,374,379,
384,391,393,396,401,403,415,416,424,427,428,430,435,445,446,453,486,491,492,
506,509,513,518,525,530,539,547,557,561,574,575,586,594,614,639,645,647,650,
672,684,688,707,716,718,731,746,764,781],[1,2,3,5,6,7,11,12,16,22,27,29,30,32,
35,37,40,42,43,44,46,47,50,55,57,68,70,71,75,76,77,79,81,82,88,90,104,115,121,
122,129,139,144,145,148,152,154,157,159,160,161,164,166,168,169,170,171,173,
174,175,179,180,182,183,189,191,193,222,229,231,232,238,242,251,252,254,259,
261,262,270,288,289,292,294,295,296,304,305,306,307,311,317,332,349,351,354,
362,369,376,380,383,385,390,391,398,401,402,403,407,408,417,418,419,420,427,
428,430,432,433,435,445,446,453,474,479,481,483,491,509,512,518,520,525,534,
542,547,558,561,567,585,587,590,594,599,601,603,616,641,645,647,667,668,677,
679,686,691,707,716,718,725,746,766,782],[1,2,4,5,6,8,12,15,16,21,25,28,31,33,
41,44,46,47,49,53,57,64,75,76,79,81,82,85,90,92,93,98,117,123,134,137,140,144,
151,153,156,157,159,164,183,185,188,193,194,232,234,235,239,240,242,251,256,
258,272,274,291,292,299,301,303,308,309,317,327,346,347,348,351,358,362,367,
374,391,410,413,440,446,449,486,491,492,526,528,541,557,561,588,614,639,646,
647,662,688,699,710,716,732,740,764,783],[1,2,3,5,6,12,13,14,16,22,29,32,36,
37,40,42,43,44,45,46,47,51,52,55,57,68,75,76,79,81,82,83,84,89,90,94,109,115,
121,122,129,138,139,144,145,152,154,157,159,161,162,164,168,170,171,173,175,
177,178,180,181,182,183,186,190,192,193,197,232,233,236,237,242,245,247,251,
265,266,276,278,288,289,290,292,294,295,304,305,306,311,313,317,340,349,351,
355,361,362,363,370,371,372,373,377,388,389,391,392,399,401,403,404,406,409,
423,425,427,428,430,435,445,446,453,470,473,485,489,491,509,516,518,519,522,
525,540,547,561,562,564,569,577,581,584,591,594,596,619,636,645,647,652,655,
671,689,694,695,707,716,718,728,746,758,784],[1,2,4,5,6,9,10,12,16,21,25,28,
31,33,41,44,46,47,48,53,58,60,75,76,78,79,81,82,87,90,91,98,107,117,128,137,
140,144,151,153,157,159,164,167,183,185,188,193,218,228,230,232,242,243,248,
251,257,264,273,275,291,292,299,301,303,308,309,317,330,343,347,351,360,362,
367,386,387,391,410,413,449,456,459,476,484,491,526,532,541,559,561,588,612,
637,646,647,662,680,701,710,722,727,735,765,785],[1,2,3,5,6,7,11,12,21,22,27,
29,30,32,35,37,40,42,43,44,46,47,50,58,61,67,70,71,75,76,77,79,81,82,88,90,
104,115,121,122,125,139,144,145,148,152,154,157,159,160,161,164,166,168,169,
170,171,173,174,175,179,180,182,183,189,191,193,215,229,231,232,238,242,251,
252,254,259,261,262,270,288,289,291,294,295,296,301,304,305,306,307,311,337,
349,351,354,362,369,376,380,383,385,390,391,398,401,402,403,407,408,417,418,
419,420,427,428,430,432,433,450,456,463,467,474,479,481,483,491,509,512,518,
520,525,534,542,548,558,561,567,585,587,590,594,599,601,603,628,641,645,646,
667,668,674,679,686,691,701,719,723,725,750,755,786],[1,2,3,5,6,8,12,15,21,22,
29,32,34,37,39,40,42,43,44,46,47,49,58,61,67,75,76,79,81,82,85,90,92,93,106,
115,121,122,123,125,139,144,145,146,149,152,154,156,157,159,161,164,165,168,
170,171,173,175,176,180,182,183,193,196,212,227,232,234,235,239,240,242,251,
256,258,272,274,288,289,291,294,295,297,301,304,305,306,311,338,341,342,346,
348,349,351,352,358,359,362,374,379,384,391,393,396,401,403,415,416,424,427,
428,430,450,456,463,467,486,491,492,506,509,513,518,525,528,530,539,548,557,
561,574,575,586,594,620,630,632,639,645,646,650,676,684,688,701,719,723,731,
732,750,754,761,763,787],[1,2,3,4,5,6,7,11,12,17,18,19,20,22,24,25,27,28,29,
30,31,32,33,35,37,40,41,42,43,44,46,47,50,59,63,65,66,69,70,71,75,76,77,79,81,
82,88,90,96,98,99,100,101,103,104,105,108,112,113,114,115,116,117,118,119,120,
121,122,132,137,139,140,144,145,148,151,152,153,154,157,159,160,161,164,166,
168,169,170,171,173,174,175,179,180,182,183,185,188,189,191,193,195,199,201,
203,204,205,206,207,210,216,220,221,224,229,231,232,238,242,251,252,254,259,
261,262,270,288,289,294,295,296,298,299,300,302,303,304,305,306,307,308,309,
311,312,314,315,316,318,319,320,321,322,323,324,326,328,336,347,349,351,354,
362,367,369,376,380,383,385,390,391,398,401,402,403,407,408,410,413,417,418,
419,420,427,428,430,432,433,438,439,441,442,443,444,454,455,457,458,460,462,
465,474,479,481,483,491,507,508,509,510,511,512,514,518,520,521,523,525,526,
534,535,536,537,538,541,542,543,545,551,552,558,561,567,585,587,588,590,594,
599,601,603,608,611,613,615,618,621,622,627,633,641,645,648,649,651,653,654,
658,660,662,667,668,675,679,686,691,697,702,709,711,712,714,717,720,721,725,
726,748,749,757,762,767,788],[1,2,3,5,6,12,13,14,21,22,29,32,36,37,40,42,43,
44,45,46,47,51,52,58,61,67,75,76,79,81,82,83,84,89,90,94,109,115,121,122,125,
138,139,144,145,152,154,157,159,161,162,164,168,170,171,173,175,177,178,180,
181,182,183,186,190,192,193,211,232,233,236,237,242,245,247,251,265,266,276,
278,288,289,290,291,294,295,301,304,305,306,311,313,339,349,351,355,361,362,
363,370,371,372,373,377,388,389,391,392,399,401,403,404,406,409,423,425,427,
428,430,450,456,463,467,470,473,485,489,491,509,516,518,519,522,525,540,548,
561,562,564,569,577,581,584,591,594,596,625,636,645,646,652,655,678,689,694,
695,701,719,723,728,750,760,789],[1,2,3,5,6,9,10,12,16,22,26,29,32,37,38,40,
42,43,44,46,47,48,55,57,68,75,76,78,79,81,82,87,90,91,107,110,115,121,122,129,
139,141,142,144,145,147,152,154,157,159,161,163,164,167,168,170,171,173,175,
180,182,183,193,198,200,214,228,230,232,242,243,248,251,257,264,273,275,288,
289,292,294,295,304,305,306,310,311,317,334,343,345,349,351,360,362,366,382,
386,387,391,400,401,403,411,412,414,421,426,427,428,429,430,431,435,445,446,
453,476,484,491,509,517,518,524,525,529,532,533,547,559,560,561,565,573,594,
610,617,624,637,645,647,659,670,680,693,707,716,718,727,733,746,756,759,768,
790],[1,2,3,4,5,6,12,13,14,17,18,20,22,23,24,25,28,29,31,32,33,36,37,40,41,42,
43,44,45,46,47,51,52,54,56,62,65,66,75,76,79,81,82,83,84,89,90,94,95,96,97,98,
100,102,105,109,111,112,113,114,115,116,117,118,119,120,121,122,131,137,138,
139,140,144,145,151,152,153,154,157,159,161,162,164,168,170,171,173,175,177,
178,180,181,182,183,185,186,188,190,192,193,195,202,206,208,209,210,213,217,
219,221,223,225,226,232,233,236,237,242,245,247,251,265,266,276,278,286,287,
288,289,290,293,294,295,298,299,300,302,303,304,305,306,308,309,311,312,313,
314,316,319,320,321,323,324,326,329,335,347,349,351,355,361,362,363,367,370,
371,372,373,377,388,389,391,392,399,401,403,404,406,409,410,413,423,425,427,
428,430,436,438,444,448,451,452,454,455,460,461,464,466,468,470,473,485,489,
491,507,508,509,510,511,514,515,516,518,519,521,522,523,525,526,531,535,537,
538,540,541,553,554,556,561,562,564,569,577,581,584,588,591,594,596,608,609,
613,615,618,623,626,629,631,636,645,649,651,652,655,658,660,661,662,663,666,
669,689,694,695,700,704,705,706,708,711,713,714,715,728,729,734,745,769,770,
771,791],[1,2,3,4,5,6,12,16,17,18,19,20,21,22,23,24,25,28,29,31,32,33,37,40,
41,42,43,44,46,47,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,75,76,79,
81,82,90,95,96,98,100,101,102,103,105,112,113,114,115,116,117,118,119,120,121,
122,124,125,126,127,128,129,130,131,132,133,134,135,136,137,139,140,144,145,
151,152,153,154,157,159,161,164,168,170,171,173,175,180,182,183,185,188,193,
195,199,201,202,203,206,208,210,213,216,220,221,223,226,232,242,251,279,280,
281,282,283,284,285,286,287,288,289,291,292,294,295,298,299,300,301,302,303,
304,305,306,308,309,311,312,314,316,317,318,319,320,321,322,323,324,326,328,
335,347,349,351,362,367,391,401,403,410,413,427,428,430,434,435,438,439,440,
441,443,444,445,446,448,449,450,451,453,454,455,456,459,460,461,462,463,465,
466,467,468,491,507,508,509,510,511,514,515,518,521,523,525,526,531,535,536,
537,538,541,543,544,545,546,547,548,552,554,555,556,561,588,594,608,609,611,
613,615,618,621,622,623,626,627,629,631,633,644,645,646,647,648,649,651,658,
660,662,666,669,675,699,701,704,707,708,710,711,714,715,716,717,718,719,720,
721,722,723,735,736,737,738,739,740,741,743,745,746,747,749,750,772,773,774,
775,776,777,778,792],[1,2,5,6,7,8,9,10,11,12,13,14,15,16,27,36,44,46,47,48,49,
57,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,
107,144,148,150,156,157,159,164,167,174,177,183,190,193,194,197,198,222,228,
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,
267,268,269,270,271,272,273,274,275,276,277,278,292,317,343,346,348,351,355,
358,360,362,374,380,386,387,390,391,395,406,409,419,420,425,446,447,469,470,
471,472,473,474,475,476,477,478,479,480,481,482,483,484,485,486,487,488,489,
490,491,492,493,494,495,496,497,532,557,559,561,564,566,572,580,583,584,601,
603,614,616,617,619,634,635,636,637,638,639,640,641,642,647,679,680,688,692,
695,698,716,724,727,751,758,759,764,766,793],[1,2,5,6,7,8,9,10,11,12,13,14,15,
21,27,36,44,46,47,48,49,58,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,
87,88,89,90,91,92,93,94,123,144,148,150,156,157,159,164,167,174,177,183,190,
193,211,212,215,218,228,229,230,231,232,233,234,235,236,237,238,239,240,241,
242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,
261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,291,
301,343,346,348,351,355,358,360,362,374,380,386,387,390,391,395,406,409,419,
420,425,437,456,469,470,471,472,473,474,475,476,477,478,479,480,481,482,483,
484,485,486,487,488,489,490,491,492,493,494,495,496,497,528,557,559,561,564,
566,572,580,583,584,601,603,612,625,628,630,634,635,636,637,638,639,640,641,
642,646,679,680,688,692,695,701,703,724,732,751,755,760,763,765,794],[1,2,4,5,
6,8,12,15,16,19,21,23,25,28,31,33,41,44,46,47,49,53,56,57,58,60,63,64,75,76,
79,81,82,85,90,92,93,95,98,101,102,103,117,123,126,128,134,137,140,144,151,
153,156,157,159,164,183,185,188,193,194,203,212,223,232,234,235,239,240,242,
251,256,258,272,274,279,286,287,291,292,299,301,303,308,309,317,318,322,327,
346,347,348,351,358,362,367,374,391,410,413,440,441,446,448,449,456,459,486,
491,492,505,515,526,528,531,536,541,543,555,557,561,588,614,622,623,630,639,
646,647,648,662,666,688,699,701,710,715,716,717,722,732,735,740,741,763,764,
773,783,795],[1,2,4,5,6,8,12,15,16,18,20,21,25,28,31,33,41,44,46,47,49,53,57,
61,64,65,75,76,79,81,82,85,90,92,93,98,100,105,113,114,117,123,134,135,136,
137,140,144,151,153,156,157,159,164,183,185,188,193,194,195,221,227,232,234,
235,239,240,242,251,256,258,272,274,281,291,292,299,300,301,303,308,309,316,
317,319,324,327,346,347,348,351,358,362,367,374,391,410,413,438,440,446,449,
450,455,486,491,492,502,508,511,526,528,535,537,541,546,557,561,588,614,615,
618,632,639,646,647,658,660,662,688,699,710,711,716,719,732,740,743,747,761,
764,772,783,796],[1,2,3,4,5,6,8,12,15,16,17,21,22,24,25,28,29,31,32,33,34,37,
39,40,41,42,43,44,46,47,49,53,55,57,64,66,67,68,75,76,79,81,82,85,90,92,93,96,
98,106,112,115,116,117,118,119,120,121,122,123,124,127,129,133,134,137,139,
140,144,145,146,149,151,152,153,154,156,157,159,161,164,165,168,170,171,173,
175,176,180,182,183,185,188,193,194,196,206,210,232,234,235,239,240,242,251,
256,258,272,274,283,288,289,291,292,294,295,297,298,299,301,302,303,304,305,
306,308,309,311,312,314,317,320,321,323,326,327,333,341,342,346,347,348,349,
351,352,358,359,362,367,374,379,384,391,393,396,401,403,410,413,415,416,424,
427,428,430,435,440,444,445,446,449,453,454,460,463,467,486,491,492,501,506,
507,509,510,513,514,518,521,523,525,526,528,530,538,539,541,544,547,557,561,
574,575,586,588,594,608,613,614,620,639,645,646,647,649,650,651,662,672,684,
688,699,707,710,714,716,718,723,731,732,736,738,739,740,746,754,764,777,781,
783,797],[1,2,4,5,6,9,10,12,16,19,21,23,25,28,31,33,41,44,46,47,48,53,56,57,
58,60,63,64,75,76,78,79,81,82,87,90,91,95,98,101,102,103,107,117,126,128,134,
137,140,144,151,153,157,159,164,167,183,185,188,193,198,203,218,223,228,230,
232,242,243,248,251,257,264,273,275,279,286,287,291,292,299,301,303,308,309,
317,318,322,330,343,347,351,360,362,367,386,387,391,410,413,440,441,446,448,
449,456,459,476,484,491,503,515,526,531,532,536,541,543,555,559,561,588,612,
617,622,623,637,646,647,648,662,666,680,699,701,710,715,716,717,722,727,735,
740,741,759,765,773,785,798],[1,2,4,5,6,12,13,14,16,19,21,23,25,28,31,33,36,
41,44,46,47,53,56,57,58,60,63,64,75,76,79,81,82,83,84,89,90,94,95,97,98,101,
102,103,111,117,126,128,134,137,140,144,151,153,157,159,164,177,183,185,188,
190,193,197,203,211,217,223,232,233,236,237,242,245,247,251,265,266,276,278,
279,286,287,291,292,293,299,301,303,308,309,317,318,322,347,351,355,362,367,
391,406,409,410,413,425,436,440,441,446,448,449,456,459,470,473,485,489,491,
499,515,526,531,536,541,543,555,561,564,584,588,619,622,623,625,636,646,647,
648,661,662,663,666,695,699,701,705,710,715,716,717,722,729,735,740,741,758,
760,771,773,799],[1,2,4,5,6,9,10,12,16,18,20,21,25,28,31,33,41,44,46,47,48,53,
58,60,65,68,75,76,78,79,81,82,87,90,91,98,100,105,107,113,114,117,128,133,136,
137,140,144,151,153,157,159,164,167,183,185,188,193,195,214,218,221,228,230,
232,242,243,248,251,257,264,273,275,284,291,292,299,300,301,303,308,309,316,
317,319,324,330,343,347,351,360,362,367,386,387,391,410,413,438,449,453,455,
456,459,476,484,491,500,508,511,526,532,535,537,541,546,559,561,588,610,612,
615,618,637,646,647,658,660,662,680,701,710,711,718,722,727,735,738,743,765,
768,778,785,800],[1,2,4,5,6,7,11,12,16,19,21,23,25,27,28,31,33,41,44,46,47,53,
56,57,58,60,63,64,70,71,75,76,77,79,81,82,88,90,95,98,99,101,102,103,108,117,
126,128,134,137,140,144,148,151,153,157,159,164,174,183,185,188,193,203,215,
222,223,224,229,231,232,238,242,251,252,254,259,261,262,270,279,286,287,291,
292,299,301,303,308,309,315,317,318,322,347,351,362,367,380,390,391,410,413,
419,420,440,441,446,448,449,456,457,459,474,479,481,483,491,504,515,526,531,
536,541,543,555,561,588,601,603,616,622,623,628,641,646,647,648,653,654,662,
666,679,699,701,709,710,715,716,717,722,726,735,740,741,755,766,767,773,801],[
1,2,3,4,5,6,9,10,12,16,17,21,22,24,25,26,28,29,31,32,33,37,38,40,41,42,43,44,
46,47,48,53,55,58,60,61,66,67,75,76,78,79,81,82,87,90,91,96,98,107,110,112,
115,116,117,118,119,120,121,122,124,125,128,130,135,137,139,140,141,142,144,
145,147,151,152,153,154,157,159,161,163,164,167,168,170,171,173,175,180,182,
183,185,188,193,200,206,210,218,228,230,232,242,243,248,251,257,264,273,275,
285,288,289,291,292,294,295,298,299,301,302,303,304,305,306,308,309,310,311,
312,314,317,320,321,323,326,330,331,343,345,347,349,351,360,362,366,367,382,
386,387,391,400,401,403,410,411,412,413,414,421,426,427,428,429,430,431,435,
444,445,449,450,454,456,459,460,463,467,476,484,491,498,507,509,510,514,517,
518,521,523,524,525,526,529,532,533,538,541,544,548,559,560,561,565,573,588,
594,608,612,613,624,637,645,646,647,649,651,659,662,673,680,693,701,707,710,
714,719,722,723,727,733,735,737,739,747,750,756,765,775,780,785,802],[1,2,3,5,
6,7,8,9,10,11,12,13,14,15,16,22,26,27,29,30,32,34,35,36,37,38,39,40,42,43,44,
45,46,47,48,49,50,51,52,55,57,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,
85,86,87,88,89,90,91,92,93,94,104,106,107,109,110,115,121,122,129,138,139,141,
142,143,144,145,146,147,148,149,150,152,154,155,156,157,158,159,160,161,162,
163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,
182,183,184,186,187,189,190,191,192,193,194,197,198,200,214,222,228,229,230,
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,
269,270,271,272,273,274,275,276,277,278,288,289,290,292,294,295,296,297,304,
305,306,307,310,311,313,317,325,332,333,334,340,341,342,343,344,345,346,348,
349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,368,
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,
407,408,409,411,412,414,415,416,417,418,419,420,421,422,423,424,425,426,427,
428,429,430,431,432,433,435,445,446,447,453,469,470,471,472,473,474,475,476,
477,478,479,480,481,482,483,484,485,486,487,488,489,490,491,492,493,494,495,
496,497,506,509,512,513,516,517,518,519,520,522,524,525,527,529,530,532,533,
534,539,540,542,547,549,557,558,559,560,561,562,563,564,565,566,567,568,569,
570,571,572,573,574,575,576,577,578,579,580,581,582,583,584,585,586,587,589,
590,591,592,593,594,595,596,597,598,599,600,601,602,603,610,614,616,617,619,
624,634,635,636,637,638,639,640,641,642,645,647,650,652,655,656,657,659,664,
665,667,668,670,671,672,677,679,680,681,682,683,684,685,686,687,688,689,690,
691,692,693,694,695,698,707,716,718,724,725,727,728,730,731,733,744,746,751,
752,753,756,758,759,764,766,768,779,781,782,784,790,793,803],[1,2,3,5,6,7,8,9,
10,11,12,13,14,15,21,22,26,27,29,30,32,34,35,36,37,38,39,40,42,43,44,45,46,47,
48,49,50,51,52,58,61,67,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,
88,89,90,91,92,93,94,104,106,109,110,115,121,122,123,125,138,139,141,142,143,
144,145,146,147,148,149,150,152,154,155,156,157,158,159,160,161,162,163,164,
165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,
184,186,187,189,190,191,192,193,196,211,212,215,218,227,228,229,230,231,232,
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,
271,272,273,274,275,276,277,278,288,289,290,291,294,295,296,297,301,304,305,
306,307,310,311,313,325,331,337,338,339,341,342,343,344,345,346,348,349,350,
351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,368,369,370,
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,
409,411,412,414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,
430,431,432,433,437,450,456,463,467,469,470,471,472,473,474,475,476,477,478,
479,480,481,482,483,484,485,486,487,488,489,490,491,492,493,494,495,496,497,
506,509,512,513,516,517,518,519,520,522,524,525,527,528,529,530,533,534,539,
540,542,548,550,557,558,559,560,561,562,563,564,565,566,567,568,569,570,571,
572,573,574,575,576,577,578,579,580,581,582,583,584,585,586,587,589,590,591,
592,593,594,595,596,597,598,599,600,601,602,603,612,620,625,628,630,632,634,
635,636,637,638,639,640,641,642,645,646,650,652,655,656,657,659,664,665,667,
668,673,674,676,678,679,680,681,682,683,684,685,686,687,688,689,690,691,692,
693,694,695,701,703,719,723,724,725,728,730,731,732,733,742,750,751,752,753,
754,755,760,761,763,765,779,780,786,787,789,794,804],[1,2,3,4,5,6,9,10,12,16,
17,18,19,20,21,22,23,24,25,26,28,29,31,32,33,37,38,40,41,42,43,44,46,47,48,53,
54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,75,76,78,79,81,82,87,90,91,95,
96,98,100,101,102,103,105,107,110,112,113,114,115,116,117,118,119,120,121,122,
124,125,126,127,128,129,130,131,132,133,134,135,136,137,139,140,141,142,144,
145,147,151,152,153,154,157,159,161,163,164,167,168,170,171,173,175,180,182,
183,185,188,193,195,198,199,200,201,202,203,206,208,210,213,214,216,218,220,
221,223,226,228,230,232,242,243,248,251,257,264,273,275,279,280,281,282,283,
284,285,286,287,288,289,291,292,294,295,298,299,300,301,302,303,304,305,306,
308,309,310,311,312,314,316,317,318,319,320,321,322,323,324,326,328,330,331,
334,335,343,345,347,349,351,360,362,366,367,382,386,387,391,400,401,403,410,
411,412,413,414,421,426,427,428,429,430,431,434,435,438,439,440,441,443,444,
445,446,448,449,450,451,453,454,455,456,459,460,461,462,463,465,466,467,468,
476,484,491,498,500,503,507,508,509,510,511,514,515,517,518,521,523,524,525,
526,529,531,532,533,535,536,537,538,541,543,544,545,546,547,548,552,554,555,
556,559,560,561,565,573,588,594,607,608,609,610,611,612,613,615,617,618,621,
622,623,624,626,627,629,631,633,637,644,645,646,647,648,649,651,658,659,660,
662,666,669,670,673,675,680,693,699,701,704,707,708,710,711,714,715,716,717,
718,719,720,721,722,723,727,733,735,736,737,738,739,740,741,743,745,746,747,
749,750,756,759,765,768,772,773,774,775,776,777,778,780,785,790,792,798,800,
802,805],[1,2,3,4,5,6,7,11,12,16,17,18,19,20,21,22,23,24,25,27,28,29,30,31,32,
33,35,37,40,41,42,43,44,46,47,50,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,
68,69,70,71,75,76,77,79,81,82,88,90,95,96,98,99,100,101,102,103,104,105,108,
112,113,114,115,116,117,118,119,120,121,122,124,125,126,127,128,129,130,131,
132,133,134,135,136,137,139,140,144,145,148,151,152,153,154,157,159,160,161,
164,166,168,169,170,171,173,174,175,179,180,182,183,185,188,189,191,193,195,
199,201,202,203,204,205,206,207,208,210,213,215,216,220,221,222,223,224,226,
229,231,232,238,242,251,252,254,259,261,262,270,279,280,281,282,283,284,285,
286,287,288,289,291,292,294,295,296,298,299,300,301,302,303,304,305,306,307,
308,309,311,312,314,315,316,317,318,319,320,321,322,323,324,326,328,332,335,
336,337,347,349,351,354,362,367,369,376,380,383,385,390,391,398,401,402,403,
407,408,410,413,417,418,419,420,427,428,430,432,433,434,435,438,439,440,441,
442,443,444,445,446,448,449,450,451,453,454,455,456,457,458,459,460,461,462,
463,465,466,467,468,474,479,481,483,491,504,507,508,509,510,511,512,514,515,
518,520,521,523,525,526,531,534,535,536,537,538,541,542,543,544,545,546,547,
548,551,552,554,555,556,558,561,567,585,587,588,590,594,599,601,603,606,608,
609,611,613,615,616,618,621,622,623,626,627,628,629,631,633,641,644,645,646,
647,648,649,651,653,654,658,660,662,666,667,668,669,674,675,677,679,686,691,
697,699,701,702,704,707,708,709,710,711,712,714,715,716,717,718,719,720,721,
722,723,725,726,735,736,737,738,739,740,741,743,745,746,747,748,749,750,755,
757,762,766,767,772,773,774,775,776,777,778,782,786,788,792,801,806],[1,2,3,4,
5,6,8,12,15,16,17,18,19,20,21,22,23,24,25,28,29,31,32,33,34,37,39,40,41,42,43,
44,46,47,49,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,75,76,79,81,82,
85,90,92,93,95,96,98,100,101,102,103,105,106,112,113,114,115,116,117,118,119,
120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,139,
140,144,145,146,149,151,152,153,154,156,157,159,161,164,165,168,170,171,173,
175,176,180,182,183,185,188,193,194,195,196,199,201,202,203,206,208,210,212,
213,216,220,221,223,226,227,232,234,235,239,240,242,251,256,258,272,274,279,
280,281,282,283,284,285,286,287,288,289,291,292,294,295,297,298,299,300,301,
302,303,304,305,306,308,309,311,312,314,316,317,318,319,320,321,322,323,324,
326,327,328,333,335,338,341,342,346,347,348,349,351,352,358,359,362,367,374,
379,384,391,393,396,401,403,410,413,415,416,424,427,428,430,434,435,438,439,
440,441,443,444,445,446,448,449,450,451,453,454,455,456,459,460,461,462,463,
465,466,467,468,486,491,492,501,502,505,506,507,508,509,510,511,513,514,515,
518,521,523,525,526,528,530,531,535,536,537,538,539,541,543,544,545,546,547,
548,552,554,555,556,557,561,574,575,586,588,594,605,608,609,611,613,614,615,
618,620,621,622,623,626,627,629,630,631,632,633,639,644,645,646,647,648,649,
650,651,658,660,662,666,669,672,675,676,684,688,699,701,704,707,708,710,711,
714,715,716,717,718,719,720,721,722,723,731,732,735,736,737,738,739,740,741,
743,745,746,747,749,750,754,761,763,764,772,773,774,775,776,777,778,781,783,
787,792,795,796,797,807],[1,2,3,4,5,6,12,13,14,16,17,18,19,20,21,22,23,24,25,
28,29,31,32,33,36,37,40,41,42,43,44,45,46,47,51,52,53,54,55,56,57,58,59,60,61,
62,63,64,65,66,67,68,69,75,76,79,81,82,83,84,89,90,94,95,96,97,98,100,101,102,
103,105,109,111,112,113,114,115,116,117,118,119,120,121,122,124,125,126,127,
128,129,130,131,132,133,134,135,136,137,138,139,140,144,145,151,152,153,154,
157,159,161,162,164,168,170,171,173,175,177,178,180,181,182,183,185,186,188,
190,192,193,195,197,199,201,202,203,206,208,209,210,211,213,216,217,219,220,
221,223,225,226,232,233,236,237,242,245,247,251,265,266,276,278,279,280,281,
282,283,284,285,286,287,288,289,290,291,292,293,294,295,298,299,300,301,302,
303,304,305,306,308,309,311,312,313,314,316,317,318,319,320,321,322,323,324,
326,328,329,335,339,340,347,349,351,355,361,362,363,367,370,371,372,373,377,
388,389,391,392,399,401,403,404,406,409,410,413,423,425,427,428,430,434,435,
436,438,439,440,441,443,444,445,446,448,449,450,451,452,453,454,455,456,459,
460,461,462,463,464,465,466,467,468,470,473,485,489,491,499,507,508,509,510,
511,514,515,516,518,519,521,522,523,525,526,531,535,536,537,538,540,541,543,
544,545,546,547,548,552,553,554,555,556,561,562,564,569,577,581,584,588,591,
594,596,604,608,609,611,613,615,618,619,621,622,623,625,626,627,629,631,633,
636,644,645,646,647,648,649,651,652,655,658,660,661,662,663,666,669,671,675,
678,689,694,695,699,700,701,704,705,706,707,708,710,711,713,714,715,716,717,
718,719,720,721,722,723,728,729,734,735,736,737,738,739,740,741,743,745,746,
747,749,750,758,760,769,770,771,772,773,774,775,776,777,778,784,789,791,792,
799,808],[1,2,4,5,6,7,8,9,10,11,12,13,14,15,16,19,21,23,25,27,28,31,33,36,41,
44,46,47,48,49,53,56,57,58,60,63,64,70,71,72,73,74,75,76,77,78,79,80,81,82,83,
84,85,86,87,88,89,90,91,92,93,94,95,97,98,99,101,102,103,107,108,111,117,123,
126,128,134,137,140,144,148,150,151,153,156,157,159,164,167,174,177,183,185,
188,190,193,194,197,198,203,211,212,215,217,218,222,223,224,228,229,230,231,
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,
270,271,272,273,274,275,276,277,278,279,286,287,291,292,293,299,301,303,308,
309,315,317,318,322,327,330,343,346,347,348,351,355,358,360,362,367,374,380,
386,387,390,391,395,406,409,410,413,419,420,425,436,437,440,441,446,447,448,
449,456,457,459,469,470,471,472,473,474,475,476,477,478,479,480,481,482,483,
484,485,486,487,488,489,490,491,492,493,494,495,496,497,499,503,504,505,515,
526,528,531,532,536,541,543,555,557,559,561,564,566,572,580,583,584,588,601,
603,612,614,616,617,619,622,623,625,628,630,634,635,636,637,638,639,640,641,
642,643,646,647,648,653,654,661,662,663,666,679,680,688,692,695,698,699,701,
703,705,709,710,715,716,717,722,724,726,727,729,732,735,740,741,751,755,758,
759,760,763,764,765,766,767,771,773,783,785,793,794,795,798,799,801,809],[1,2,
3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,
31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,
57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,
83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,
106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,
125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,
144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,
163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,
182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,
201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,
220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,
239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,
258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,
277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,
296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,
315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,
334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,
353,354,355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,
372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,
391,392,393,394,395,396,397,398,399,400,401,402,403,404,405,406,407,408,409,
410,411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,
429,430,431,432,433,434,435,436,437,438,439,440,441,442,443,444,445,446,447,
448,449,450,451,452,453,454,455,456,457,458,459,460,461,462,463,464,465,466,
467,468,469,470,471,472,473,474,475,476,477,478,479,480,481,482,483,484,485,
486,487,488,489,490,491,492,493,494,495,496,497,498,499,500,501,502,503,504,
505,506,507,508,509,510,511,512,513,514,515,516,517,518,519,520,521,522,523,
524,525,526,527,528,529,530,531,532,533,534,535,536,537,538,539,540,541,542,
543,544,545,546,547,548,549,550,551,552,553,554,555,556,557,558,559,560,561,
562,563,564,565,566,567,568,569,570,571,572,573,574,575,576,577,578,579,580,
581,582,583,584,585,586,587,588,589,590,591,592,593,594,595,596,597,598,599,
600,601,602,603,604,605,606,607,608,609,610,611,612,613,614,615,616,617,618,
619,620,621,622,623,624,625,626,627,628,629,630,631,632,633,634,635,636,637,
638,639,640,641,642,643,644,645,646,647,648,649,650,651,652,653,654,655,656,
657,658,659,660,661,662,663,664,665,666,667,668,669,670,671,672,673,674,675,
676,677,678,679,680,681,682,683,684,685,686,687,688,689,690,691,692,693,694,
695,696,697,698,699,700,701,702,703,704,705,706,707,708,709,710,711,712,713,
714,715,716,717,718,719,720,721,722,723,724,725,726,727,728,729,730,731,732,
733,734,735,736,737,738,739,740,741,742,743,744,745,746,747,748,749,750,751,
752,753,754,755,756,757,758,759,760,761,762,763,764,765,766,767,768,769,770,
771,772,773,774,775,776,777,778,779,780,781,782,783,784,785,786,787,788,789,
790,791,792,793,794,795,796,797,798,799,800,801,802,803,804,805,806,807,808,
809,810]],
0,[[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],[1,2,1,1],[1,1,1],[1,3,1],[1,1,1],[1,1,1],[1,1,2,1],[1,
3,1],[1,2,1,1],[1,1,2,1],[1,3,1,1],[1,1,1,1],[1,1,1,1],[1,1,1,1],[1,3,1,1],[1,
3,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,1,1,1],[1,1,1,1],[1,3,1,1],[
1,3,1,1],[1,3,1,1],[1,1,1,1],[1,1,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,
1],[1,3,1,1],[1,1,1,1],[1,1,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,1,2,1,1,1,
1],[1,2,3,1,1,1,1],[1,1,4,1,2,1],[1,1,6,4,3,1],[1,1,3,1],[1,1,3,1],[1,2,3,1,1,
1,1],[1,1,4,1,2,1],[1,1,1,1],[1,2,3,1,1,1,1],[1,1,6,4,3,1],[1,1,4,1,2,1],[1,1,
2,1,1,1,1],[1,1,4,2,2,2,2,1,1],[1,1,4,1,2,1],[1,1,1,1],[1,2,3,1,1,1,1],[1,1,3,
1],[1,1,1],[1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1,1],[1,2,1,1,1],[1,1,3,1],[1,
1,3,1],[1,1,3,1],[1,1,3,1],[1,1,1,1,1,1],[1,2,2,1],[1,4,1],[1,1,1],[1,1,2,1,
1],[1,1,3,1],[1,1,1,1,1,1],[1,1,3,1],[1,2,1,1,1],[1,1,3,1],[1,4,1],[1,1,3,1],[
1,1,3,1],[1,1,3,1],[1,1,3,1],[1,3,1,1,3,1],[1,2,1,1,1,1,2,1],[1,3,4,1,1],[1,3,
4,1,3,1,1,1,1],[1,3,4,1,1],[1,1,1,1,1,1],[1,7,1,3,1,2,1],[1,7,1,3,2,1,1],[1,3,
1,1,3,1],[1,1,6,1,3,1,1,1,1],[1,1,1,1,1,1],[1,1,6,1,3,2,1,1],[1,1,1,1,1,1],[1,
3,4,1,1],[1,1,6,1,3,1,1,1,1],[1,1,6,1,3,2,1,1],[1,3,4,1,1],[1,2,1,1,1,1,2,1],[
1,1,1,3,1,1],[1,1,1,3,1,1],[1,3,4,1,3,1,1,1,1],[1,6,1,1,3,1,2,1],[1,3,4,1,3,1,
1,1,1],[1,4,3,1,3,1,1,1,1],[1,4,3,1,3,1,1,1,1],[1,6,1,1,3,2,1,1],[1,3,4,1,3,1,
1,1,1],[1,3,4,1,3,1,1,1,1],[1,1,1,1,1,1],[1,1,8,2,1,4,1,4,4,1,1,2,2,2,1],[1,1,
4,3,2,1,1,1,1],[1,1,10,1,4,1,4,5,1,1,2,1,2,1],[1,1,4,4,1,2,2,1,1,1,1],[1,1,6,
1,3,3,3,1,3,1],[1,1,4,3,2,1,1,1,1],[1,1,4,4,1,2,2,1,1,1,1],[1,1,4,6,2,1,1,2,4,
2,3,2,1,2,1,1,1],[1,1,4,6,2,1,4,1,2,2,3,2,1,1,1,2,1],[1,1,2,1,1,1,1,2,1],[1,1,
6,3,1,3,3,1,3,1],[1,1,2,1,1,1,1,2,1],[1,1,2,1,2,2,1,1,1,2,1],[1,1,2,2,2,2,1,
1],[1,9,1,2,1,3,3,6,1,1],[1,3,2,1,1,1,3,1,1],[1,3,2,2,3,1,1,1],[1,9,1,3,9,3,1,
1],[1,3,1,3,1,3,1,1],[1,9,1,1,1,1,3,3,3,3,1,1],[1,9,2,2,6,6,1,1],[1,3,2,2,1,3,
1,1],[1,9,1,3,9,3,1,1],[1,3,1,3,3,1,1,1],[1,3,1,3,3,1,1,1],[1,9,1,3,9,3,1,1],[
1,1,1,1,1,1,1,1,1,1,1,1],[1,3,2,2,1,3,1,1],[1,3,1,3,3,1,1,1],[1,3,2,1,1,1,3,1,
1],[1,3,1,3,3,1,1,1],[1,9,1,1,1,1,3,3,3,3,1,1],[1,3,1,3,1,3,1,1],[1,9,4,12,1,
1],[1,9,1,1,1,1,3,3,3,3,1,1],[1,9,1,3,3,9,1,1],[1,9,2,1,1,6,3,3,1,1],[1,3,1,3,
1,3,1,1],[1,3,1,3,3,1,1,1],[1,9,1,3,9,3,1,1],[1,9,1,3,3,9,1,1],[1,3,1,3,3,1,1,
1],[1,3,1,3,3,1,1,1],[1,3,1,3,1,3,1,1],[1,9,2,1,1,3,6,3,1,1],[1,3,1,3,3,1,1,
1],[1,3,4,3,1,1,1],[1,3,2,1,1,3,1,1,1],[1,9,1,1,1,1,3,3,3,3,1,1],[1,3,2,2,3,1,
1,1],[1,3,2,1,1,3,1,1,1],[1,3,1,3,3,1,1,1],[1,3,1,3,3,1,1,1],[1,3,1,2,1,3,1,1,
1],[1,9,1,3,3,9,1,1],[1,9,1,3,1,1],[1,3,4,3,1,1,1],[1,9,1,3,1,1],[1,1,2,1,1,2,
1,1,1,1],[1,9,4,12,1,1],[1,9,1,1,1,1,3,3,3,3,1,1],[1,3,2,1,1,3,1,1,1],[1,3,1,
3,3,1,1,1],[1,9,1,1,1,1,3,3,3,3,1,1],[1,9,2,2,6,6,1,1],[1,9,1,3,3,9,1,1],[1,3,
1,3,3,1,1,1],[1,3,2,1,1,3,1,1,1],[1,3,1,2,1,3,1,1,1],[1,9,2,1,1,6,3,3,1,1],[1,
1,4,3,4,1,1],[1,3,4,1,3,1,3,1,1,1,3,1,1,1,1],[1,1,12,1,1,6,4,1,3,2,1,1],[1,1,
4,3,4,1,1],[1,1,1,3,1,1,3,1],[1,6,3,1,3,1,3,3,2,3,1,1,1,1],[1,1,12,1,1,6,4,1,
3,1,2,1],[1,2,7,1,3,3,1,1,2,2,3,1,1,1,1],[1,2,3,1,1,1,1,3,2,1,1,1,1,1],[1,3,
12,1,10,9,3,3,1,3,3,3,1,1],[1,6,3,4,3,1,3,4,3,1,1],[1,6,3,4,3,1,3,4,3,1,1],[1,
3,8,4,1,6,6,4,3,1,1,2,2,1,3,1,1,1,2,2,1],[1,6,3,4,1,3,3,4,3,1,1],[1,6,3,1,3,3,
1,2,3,3,1,1,1,1],[1,6,3,4,3,3,1,4,3,1,1],[1,3,8,4,1,4,6,6,3,1,2,1,2,1,3,1,2,1,
2,1,1],[1,1,4,3,4,1,1],[1,1,1,3,1,1,3,1],[1,6,7,1,3,1,3,2,2,1,3,1,1,1,1],[1,1,
1,1,1,3,1,1],[1,1,4,3,4,1,1],[1,6,7,1,3,1,3,1,2,2,3,1,1,1,1],[1,1,6,4,4,3,4,1,
1,1],[1,1,4,3,4,1,1],[1,6,3,4,3,3,1,4,3,1,1],[1,2,3,1,1,1,1,3,2,1,1,1,1,1],[1,
3,4,1,3,1,3,1,1,1,3,1,1,1,1],[1,1,4,3,4,1,1],[1,3,12,1,10,9,3,3,1,3,1,3,3,1],[
1,1,6,4,4,3,4,1,1,1],[1,6,3,4,3,3,1,4,3,1,1],[1,2,7,1,1,3,3,2,1,2,3,1,1,1,1],[
1,1,1,1,1,3,1,1],[1,1,3,9,1,3,1],[1,4,6,3,1,2,1,1],[1,4,9,1,12,1],[1,1,6,3,3,
1,2,1,9,1],[1,4,6,3,6,4,3,1],[1,1,3,6,3,1,9,2,1,1],[1,4,6,3,1,2,1,1],[1,1,3,6,
3,1,2,1,1],[1,4,6,3,1,2,1,1],[1,1,3,1,3,1],[1,1,3,3,1,1],[1,4,9,1,3,1],[1,1,3,
9,1,3,1],[1,1,3,3,3,3,1,1,1,1,1],[1,7,3,3,9,1,1,1,1,1],[1,1,9,3,3,1,1],[1,1,3,
3,3,3,9,1,1,1,1,1],[1,1,3,9,1,3,1],[1,1,3,3,3,3,1,9,1,1,1,1],[1,4,1,3,1],[1,1,
3,3,6,1,2,1,1],[1,1,3,3,3,3,1,1,1,1,1],[1,1,3,3,3,3,1,1,1,1,1],[1,4,3,6,6,4,3,
1],[1,4,3,1,1],[1,1,3,3,3,3,1,1,1,1,1],[1,4,6,3,1,2,1,1],[1,1,3,3,3,3,9,1,1,1,
1,1],[1,1,6,3,3,1,2,1,1],[1,4,9,9,1,3,1],[1,4,9,1,12,1],[1,4,3,1,1],[1,1,3,3,
3,3,1,1,1,1,1],[1,1,3,9,1,3,1],[1,1,3,9,3,1,1],[1,1,3,3,3,3,1,1,9,1,1,1],[1,1,
3,6,3,1,2,1,1],[1,1,3,9,1,3,1],[1,1,3,1,3,1],[1,1,3,3,3,3,1,1,1,1,1],[1,1,3,3,
3,3,1,1,1,1,1],[1,1,3,3,3,3,1,1,1,1,1],[1,1,3,3,1,1],[1,1,3,3,3,3,1,9,1,1,1,
1],[1,4,9,3,1,9,1],[1,4,9,3,1,1],[1,1,9,3,1,3,1],[1,4,3,6,2,1,1,1],[1,4,6,3,2,
1,1,1],[1,1,3,3,3,3,1,1,1,1,1],[1,4,3,1,1],[1,1,18,3,12,3,12,9,9,3,1,1,9,3,9,
9,3,3,1],[1,1,10,1,4,1,4,5,1,1,2,2,1,2,2,1,1,1,1],[1,1,6,3,2,2,1,3,3,1,2,3,2,
1,1,1,1],[1,1,8,10,1,4,2,4,2,1,4,4,4,5,1,4,2,1,4,2,4,1,2,2,2,2,4,1,1,2,2,1,
1],[1,1,8,6,3,4,1,4,4,3,3,2,1,3,2,2,2,1,2,2,1,1,1],[1,1,6,1,2,2,3,3,3,1,3,2,2,
1,1,1,1],[1,1,8,6,1,4,3,4,4,3,3,2,1,3,2,2,2,1,2,1,2,1,1],[1,7,2,2,3,2,2,8,1,3,
1,1,2,1],[1,15,2,2,9,8,6,6,1,6,2,1,1],[1,9,6,2,1,1,9,1,3,3,1,6,3,3,1,3,3,1,1,
1,1],[1,9,6,2,2,9,6,2,6,6,1,6,1,2,1],[1,3,12,1,2,1,9,3,3,3,3,1,1,6,1,3,3,1,1,
1,1],[1,9,2,2,9,6,6,1,1,1],[1,9,2,2,9,6,6,1,1,1],[1,3,1,8,4,1,3,4,1,1,2,1],[1,
9,6,1,3,9,3,1,1,3,3,9,1,3,3,1,1,1,1],[1,9,10,2,1,1,9,2,3,1,6,1,3,6,3,3,1,3,3,
6,1,1,1,1],[1,3,12,2,1,1,9,3,6,3,3,3,1,1,1,3,3,1,1,1,1],[1,3,12,1,3,9,3,10,3,
1,3,1,3,3,1,1,1,1],[1,6,9,2,2,9,6,2,6,6,1,6,2,1,1],[1,9,10,2,2,9,2,6,6,2,6,6,
1,6,6,1,1,1,1],[1,1,2,2,9,2,2,1,6,6,1,1],[1,9,4,9,12,1,1,1],[1,4,3,2,1,1,3,3,
2,1,1,4,1,1,3,1,1,1,1,1],[1,9,6,2,1,1,9,3,1,1,3,6,3,3,1,3,3,1,1,1,1],[1,9,6,4,
9,6,2,12,1,6,1,2,1],[1,9,6,1,3,9,3,3,1,1,3,9,1,3,3,1,1,1,1],[1,9,6,2,2,9,2,6,
6,6,1,6,1,2,1],[1,3,12,1,3,9,3,3,1,3,1,9,1,3,3,1,1,1,1],[1,9,6,2,2,9,6,2,6,6,
1,6,2,1,1],[1,9,6,2,2,9,2,6,6,6,1,6,1,2,1],[1,3,12,1,3,9,10,3,3,1,3,1,3,3,1,1,
1,1],[1,9,6,4,9,6,2,12,1,6,2,1,1],[1,6,1,2,2,3,2,2,2,6,1,3,1,1,2,1],[1,3,12,1,
3,9,3,3,3,1,1,9,1,3,3,1,1,1,1],[1,12,3,2,1,1,9,4,1,3,6,3,3,1,3,3,1,1,1,1],[1,
3,8,4,1,1,3,4,2,1,1,1],[1,1,2,2,1,2,2,1,2,2,1,1],[1,9,4,9,12,1,1,1],[1,7,2,2,
3,8,2,2,1,1,3,1,2,1],[1,9,2,2,9,6,6,1,1,1],[1,6,1,2,2,3,2,6,2,2,1,3,1,1,2,1],[
1,12,3,2,1,1,9,3,1,3,6,3,4,1,3,3,1,1,1,1],[1,15,2,2,9,6,6,8,1,6,2,1,1],[1,4,3,
2,1,1,3,2,1,1,3,4,1,1,3,1,1,1,1,1],[1,9,2,2,9,6,6,1,1,1],[1,1,18,1,1,1,1,9,6,
1,3,1,6,3,1,1,3,3,1,3,3,3,3,1,1,1,1],[1,6,9,2,2,9,6,6,6,2,1,6,2,1,1],[1,1,6,4,
3,1,3,4,3,1,3,4,1,1,1],[1,3,8,12,1,6,3,10,1,6,4,9,3,3,2,2,1,6,3,3,3,4,1,3,1,3,
1,1,1,2,2,3,1,1,1,1,1,1,1,1],[1,1,12,6,4,6,3,3,6,4,6,3,4,4,4,6,1,6,3,3,1,4,3,
1,1,1,1],[1,1,6,4,1,3,3,4,3,1,3,4,1,1,1],[1,1,12,4,3,6,8,4,1,3,3,4,3,1,1],[1,
1,12,4,3,6,4,4,4,3,1,3,4,3,1,1],[1,1,12,4,3,6,8,4,3,1,3,4,3,1,1],[1,1,12,1,3,
6,4,1,3,1,3,3,2,3,1,1,1,1],[1,3,8,12,1,4,3,1,6,10,6,9,3,2,3,2,1,6,3,4,3,3,1,3,
1,1,1,2,3,2,1,3,1,1,1,1,1,1,1,1],[1,1,12,6,4,6,3,4,3,6,6,3,4,4,4,6,1,3,3,6,4,
1,3,1,1,1,1],[1,1,12,4,3,6,4,4,4,1,3,3,4,3,1,1],[1,1,12,1,3,6,4,1,1,3,3,2,3,3,
1,1,1,1],[1,1,12,4,3,6,4,4,4,1,3,3,4,3,1,1],[1,1,12,4,3,6,4,4,4,3,1,3,4,3,1,
1],[1,9,1,6,3,3,9,6,3,3,1,2,1,3,6,3,1,1],[1,9,4,6,3,9,6,3,3,1,2,1,6,3,3,1,1],[
1,9,4,9,12,9,1,12,1,12,1,1],[1,9,1,3,3,3,3,3,9,3,3,3,1,1,1,1,3,3,3,3,1,1],[1,
9,4,3,6,3,9,6,3,2,1,1,3,6,3,1,1],[1,9,4,9,12,9,1,12,12,1,1,1],[1,3,4,3,6,6,1,
6,6,4,3,3,2,2,1,1],[1,9,1,3,6,3,3,9,9,1,2,1,3,1,1,1],[1,3,7,3,3,6,3,1,3,9,1,1,
1,1,1,1,1,1,3,1,1],[1,9,1,3,3,3,3,9,3,3,3,3,9,1,1,1,1,1,3,3,3,3,1,1],[1,27,7,
3,3,63,27,27,9,1,1,1,1,3,3,3,3,27,1,1],[1,9,1,3,6,3,9,3,9,1,2,1,1,3,1,1],[1,9,
1,3,3,3,3,9,3,3,3,3,1,9,1,1,1,3,1,3,3,3,1,1],[1,9,1,6,3,3,9,6,3,3,1,2,1,9,3,1,
6,3,1,1],[1,9,4,6,3,9,12,2,1,1,1,3,1,1],[1,9,1,3,3,3,3,3,9,3,3,3,1,1,1,1,3,3,
3,3,1,1],[1,9,1,3,3,3,3,3,9,3,3,3,1,9,1,1,1,3,1,3,3,3,1,1],[1,9,1,6,3,3,3,9,9,
1,2,1,3,1,1,1],[1,9,4,6,3,9,9,3,1,2,1,1,3,1,1],[1,9,1,3,6,3,3,9,9,1,2,1,1,3,1,
1],[1,9,4,6,3,9,3,3,6,1,2,1,3,3,6,1,1],[1,27,4,3,6,36,27,54,6,4,3,9,12,18,1,
1],[1,9,1,3,6,3,3,9,9,1,9,2,1,3,1,9,1,1],[1,9,1,3,3,3,3,9,3,3,3,3,1,1,1,1,3,3,
3,3,1,1],[1,9,1,3,3,3,3,9,3,3,3,3,9,1,1,1,1,3,3,3,3,1,1,1],[1,9,1,3,6,3,9,9,3,
1,2,1,1,3,1,1],[1,9,4,3,6,6,6,9,6,4,3,6,6,1,1,1],[1,9,1,3,3,3,3,3,9,3,3,3,1,1,
9,1,1,3,3,3,1,3,1,1],[1,9,1,3,9,9,9,3,1,3,3,9,1,1],[1,9,4,6,3,9,3,9,2,1,1,3,1,
1,1],[1,9,1,3,9,9,3,9,1,3,3,1,1,1],[1,9,1,3,9,3,1,3,3,1,1,1],[1,9,4,9,3,3,1,3,
1,1,1],[1,9,4,6,3,12,9,1,2,1,3,1,1,1],[1,9,1,3,3,3,3,9,3,3,3,3,1,1,1,1,3,3,3,
3,1,1],[1,9,4,6,3,9,3,9,1,2,1,3,1,1,1],[1,9,1,3,3,9,1,3,3,1,1,1],[1,9,1,3,3,3,
3,9,3,3,3,3,1,1,1,1,3,3,3,3,1,1],[1,9,4,9,9,9,3,1,3,1,3,1,1],[1,9,4,6,3,9,12,
1,2,1,3,1,1,1],[1,9,1,3,3,3,3,9,3,3,3,3,1,1,1,1,3,3,3,3,1,1],[1,9,4,3,6,9,9,3,
2,1,1,1,3,1,1],[1,9,1,3,9,9,3,9,3,1,3,9,1,1],[1,9,1,9,3,9,9,3,1,3,1,3,1,1],[1,
9,4,9,3,3,1,1,3,1,1],[1,9,1,3,3,6,3,9,9,1,2,1,1,3,1,1],[1,9,4,3,6,12,9,2,1,1,
3,1,1,1],[1,9,1,3,6,3,9,3,3,6,1,9,2,1,1,3,3,6,1,1],[1,9,4,6,3,9,3,3,6,2,1,1,3,
3,6,1,1],[1,9,1,6,3,3,9,3,9,1,2,1,9,3,1,9,1,1],[1,27,4,6,3,36,54,27,6,4,3,9,
12,18,1,1],[1,9,4,9,3,1,3,3,1,1,1],[1,9,1,6,3,3,9,9,3,1,2,1,1,3,1,1],[1,9,1,3,
3,3,3,3,9,3,3,3,1,1,1,1,3,3,3,3,1,1],[1,3,1,3,3,3,3,3,3,1,3,3,1,9,1,1,1,1,3,1,
1,1,1,1],[1,9,1,3,9,9,3,9,1,3,1,3,1,1],[1,9,1,3,3,3,3,9,3,3,3,3,1,1,1,1,3,3,3,
3,1,1],[1,9,4,6,3,9,6,3,3,1,2,1,6,3,3,1,1],[1,9,1,3,9,9,3,9,1,3,3,9,1,1],[1,9,
1,3,9,9,3,9,1,3,1,3,1,1],[1,9,4,3,6,3,9,6,3,6,4,3,3,1,3,6,1,1],[1,9,1,3,3,9,3,
1,3,1,1,1],[1,9,7,3,3,9,3,6,3,9,1,1,1,1,3,3,1,3,3,1,1],[1,9,4,6,3,9,3,9,1,2,1,
1,3,1,1],[1,9,1,3,3,3,3,9,3,3,3,3,1,1,1,1,3,3,3,3,1,1],[1,9,1,3,6,3,9,3,9,1,9,
2,1,1,9,3,1,1],[1,9,1,3,9,3,9,9,3,1,3,1,1,1],[1,9,4,6,3,9,6,3,3,1,2,1,6,3,3,1,
1],[1,9,4,6,3,9,12,1,2,1,1,3,1,1],[1,9,4,6,3,9,6,6,6,4,3,6,6,1,1,1],[1,9,4,9,
9,9,3,1,12,9,1,3,1,1],[1,9,1,3,3,6,9,3,9,1,2,1,3,1,1,1],[1,3,4,6,3,6,1,6,6,4,
3,3,2,2,1,1],[1,9,4,9,9,9,3,3,1,1,3,1,1],[1,9,4,9,9,9,3,3,1,9,1,9,3,1,1],[1,9,
1,3,6,3,9,3,6,3,1,2,1,3,6,3,1,1],[1,9,1,3,9,3,3,1,3,1,1,1],[1,9,4,6,3,9,3,9,1,
2,1,3,1,1,1],[1,9,4,6,3,9,12,1,2,1,3,1,1,1],[1,9,1,3,9,9,3,9,3,1,3,1,1,1],[1,
9,4,9,9,9,3,9,1,3,1,9,3,1,1],[1,27,1,3,3,3,3,27,27,9,27,27,1,9,1,1,1,3,3,3,27,
3,1,1],[1,9,1,3,9,9,3,9,1,3,3,9,1,1],[1,9,4,9,9,9,3,1,12,1,3,9,1,1],[1,9,1,3,
9,9,3,9,1,3,1,3,1,1],[1,9,1,3,3,6,3,9,3,6,1,2,1,3,6,3,1,1],[1,9,4,6,3,3,6,9,3,
6,4,3,3,6,1,3,1,1],[1,3,4,6,3,6,1,3,3,6,4,3,1,1,2,3,1,1],[1,9,1,3,6,3,3,9,6,3,
1,2,1,3,6,3,1,1],[1,3,4,3,6,6,3,3,1,6,4,3,2,1,1,3,1,1],[1,9,1,9,3,9,9,3,3,1,1,
3,1,1],[1,9,1,6,3,3,9,3,9,1,2,1,9,3,1,9,1,1],[1,9,4,9,3,3,1,3,1,1,1],[1,1,8,
18,3,4,2,12,2,3,4,12,4,9,9,4,2,3,1,1,4,9,2,4,3,9,2,2,2,2,4,1,2,9,2,3,2,2,2,2,
1,3,1,1,1,1,1,1,1,1,1,1],[1,9,12,4,9,18,12,4,12,9,1,12,1,4,2,1,1],[1,3,12,1,8,
4,10,9,3,12,3,1,3,4,1,1,3,2,3,4,3,1,1,1],[1,1,4,4,4,1,3,4,4,4,1,1,4,3,4,1,1,1,
1,1],[1,9,10,2,2,9,9,9,2,6,6,2,6,6,9,1,6,6,1,1,1,1,1,1,1],[1,6,15,2,2,9,9,9,6,
6,2,8,6,9,1,6,6,2,2,1,1,1,1,1],[1,9,12,2,2,9,18,6,2,2,6,6,6,9,1,6,6,2,1,2,1,1,
1,1],[1,9,22,2,2,24,27,14,6,10,2,6,6,9,1,18,14,6,6,1,4,1,1,6,1,2,2,2,1],[1,18,
3,8,4,1,9,1,9,3,24,12,6,9,4,2,1,1,3,3,4,3,3,6,1,1],[1,6,7,2,2,9,3,3,8,2,6,2,2,
9,1,3,1,3,6,6,1,1,2,2,3,3,1,1,1,1],[1,9,16,6,2,1,1,12,18,12,9,3,2,1,4,1,4,6,3,
4,4,6,3,3,9,1,3,3,3,6,3,3,4,4,3,6,6,1,1,1,1,1,1,1,3,3,1,1,1,1,1,1,1,1],[1,9,
12,2,2,9,18,2,6,6,2,6,6,9,1,6,6,1,2,2,1,1,1,1],[1,9,4,27,12,9,1,1,3,1],[1,1,1,
4,4,4,3,4,4,1,4,1,4,3,4,1,1,1,1,1],[1,9,22,2,2,24,27,2,10,6,14,6,6,9,1,6,6,14,
18,1,1,4,1,6,2,2,1,2,1],[1,9,10,2,2,9,9,9,2,6,6,2,6,6,9,1,6,6,1,1,1,1,1,1,1],[
1,9,4,9,12,9,1,1,1,1],[1,6,15,2,2,9,9,9,8,6,6,6,2,9,1,6,6,2,2,1,1,1,1,1],[1,
18,3,1,8,4,9,9,1,6,3,12,24,9,4,1,1,2,3,3,4,3,3,6,1,1],[1,9,4,9,12,9,1,1,1,1],[
1,9,12,10,2,2,18,18,6,9,2,6,6,12,2,4,6,6,9,1,6,6,2,6,12,12,1,1,4,1,6,2,1,2,2,
1],[1,9,10,2,2,9,1,9,2,6,6,2,6,6,9,1,6,2,2,6,6,6,1,1,1,6,6,1,1,1,1],[1,9,4,27,
12,9,1,1,3,1],[1,3,12,8,4,1,10,9,12,3,3,1,3,4,3,2,3,1,1,4,1,3,1,1],[1,6,3,8,4,
1,1,3,3,3,6,4,3,4,3,2,3,1,1,4,1,3,1,1],[1,9,12,2,2,9,18,6,2,2,6,6,6,9,1,6,6,2,
1,2,1,1,1,1],[1,9,12,10,2,2,6,18,18,9,2,6,4,6,2,12,6,6,9,1,6,6,12,6,12,2,1,1,
4,1,6,2,1,2,2,1],[1,6,15,2,2,9,9,9,8,6,6,6,2,9,1,6,6,2,2,1,1,1,1,1],[1,6,15,2,
2,9,9,9,6,6,2,8,6,9,1,6,6,2,2,1,1,1,1,1],[1,9,12,4,9,18,12,4,12,9,1,12,4,1,1,
2,1],[1,6,3,1,8,4,3,3,1,3,6,4,3,4,1,1,3,2,3,4,3,1,1,1],[1,6,7,2,2,3,1,3,8,2,6,
2,2,3,1,3,2,1,3,2,1,1,2,2,1,3,1,1,1,1],[1,6,7,2,2,3,9,3,2,2,2,8,6,9,1,3,1,3,6,
6,1,1,2,2,3,3,1,1,1,1],[1,9,12,2,2,9,18,2,6,6,2,6,6,9,1,6,6,1,2,2,1,1,1,1],[1,
6,7,2,2,3,1,3,2,2,2,8,6,3,1,3,2,1,2,3,1,1,2,2,3,1,1,1,1,1],[1,4,9,9,3,1,3,12,
3,1,1,1,1,1],[1,7,3,3,18,9,9,1,1,1,27,6,1,3,3,3,1,1,2,3,1],[1,4,6,6,9,3,6,3,3,
1,2,9,1,2,18,2,12,1,1,1,1,1,1,2,1,2,2,2,1],[1,1,6,6,3,6,3,3,9,3,1,18,2,1,9,2,
2,9,1,1,3,1,1,1,1,2,1,2,2,2,1],[1,4,3,6,9,6,4,3,6,3,1,1,2,1],[1,4,6,9,3,6,6,4,
3,3,1,1,2,1],[1,1,9,9,3,9,3,3,1,3,3,1,1,1,1,1],[1,7,3,27,3,9,1,27,1,1,9,1,3,1,
3,3,3,1],[1,1,6,6,3,6,3,3,9,3,1,9,9,2,1,2,9,2,9,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1],[1,1,3,9,9,9,3,1,3,3,3,1,1,1,1,1],[1,4,6,9,3,3,6,6,4,3,1,1,2,1],[1,1,3,6,
3,6,9,6,3,3,3,18,1,9,9,2,2,2,1,1,1,1,1,1,1,2,2,2,1,2,1],[1,7,3,3,9,9,1,1,1,1,
3,1,3,3,3,1],[1,1,9,9,3,9,3,3,1,3,3,1,1,1,1,1],[1,7,3,18,9,3,3,9,1,6,1,1,27,1,
3,3,1,3,2,1,1],[1,7,3,9,18,3,9,1,18,1,1,6,1,12,1,1,3,2,3,3,1],[1,4,3,6,9,6,4,
3,6,3,1,1,2,1],[1,7,3,18,3,9,9,1,1,1,6,1,12,18,3,3,1,3,1,2,1],[1,4,9,9,3,3,3,
1,12,1,1,1,1,1],[1,4,6,6,9,3,6,3,3,1,9,9,9,2,9,1,2,3,2,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1],[1,7,3,3,9,1,1,1,9,1,3,1,3,3,3,1],[1,1,3,9,6,3,6,6,3,3,9,9,1,3,9,2,
9,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,16,12,12,72,16,16,18,4,4,12,16,12,
1],[1,7,3,27,3,9,1,1,1,9,1,27,3,3,1,3,3,1],[1,4,6,9,3,6,3,6,3,1,9,9,2,3,9,2,2,
1,1,9,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,3,9,9,9,1,3,3,3,3,1,1,1,1,1],[1,4,6,
3,6,3,6,3,9,1,18,2,9,2,2,1,1,12,1,1,1,2,2,1,2,2,1,1,1],[1,4,9,9,3,9,1,3,3,3,1,
1,1,1,1],[1,4,9,9,3,3,3,3,1,9,1,1,1,1,1],[1,1,24,6,4,1,12,3,12,12,3,16,4,3,6,
1,3,6,6,6,4,8,3,6,1,6,3,4,1,3,1,2,1],[1,1,18,16,3,12,3,12,9,16,9,3,1,1,9,3,9,
12,9,3,3,4,4,12,1,1],[1,1,6,4,1,6,6,3,3,4,3,1,3,6,6,4,1,3,3,4,1,3,1,1],[1,1,
24,6,4,3,12,1,12,12,3,16,4,3,6,1,3,6,6,6,8,4,3,6,6,3,1,1,4,3,1,2,1],[1,1,6,4,
3,6,6,1,3,4,3,1,6,3,6,4,1,3,3,1,4,3,1,1],[1,1,18,4,3,12,3,12,9,4,9,3,1,1,9,3,
9,12,9,3,3,4,1,1,3,1],[1,1,18,16,3,12,3,12,9,16,9,3,1,1,9,3,9,12,9,3,3,4,4,12,
1,1],[1,1,18,4,3,12,3,12,9,4,9,3,1,1,9,3,9,12,9,3,3,1,4,1,3,1],[1,9,18,1,3,6,
3,27,9,3,6,12,3,9,3,9,9,1,2,1,9,9,9,1,3,3,1,3,6,3,1,3,3,1,1,1,1],[1,6,9,4,3,6,
9,12,6,6,6,9,6,2,6,4,3,9,6,6,6,4,2,2,6,1,1,6,1,1,2,1],[1,9,4,6,3,9,9,6,6,6,4,
3,9,6,6,1,1,1,1,1],[1,27,12,7,3,3,27,15,3,3,7,3,3,63,27,27,9,1,1,1,1,9,9,27,3,
3,3,3,1,3,1,4,1,4,3,3,27,1,3,3,3,3,3,1,1,1,1],[1,18,9,4,6,3,27,9,6,6,6,12,18,
6,6,4,3,9,18,6,6,12,2,6,6,1,1,3,6,1,2,1],[1,9,4,3,6,9,6,6,9,6,4,3,9,6,6,1,1,1,
1,1],[1,9,18,1,6,3,3,27,9,9,6,3,9,3,3,3,9,9,1,2,1,9,9,9,9,3,3,1,1,6,3,9,3,1,9,
1,3,3,3,1,1,1,1],[1,9,18,4,9,27,18,18,6,12,9,1,12,9,18,2,12,6,18,1,1,6,3,1,2,
1],[1,18,9,4,3,6,27,6,6,6,18,12,9,6,6,4,3,18,9,6,6,6,2,6,12,1,1,6,3,1,2,1],[1,
27,4,3,6,27,18,18,27,6,4,3,27,18,18,3,1,9,3,1],[1,9,18,1,3,9,27,9,9,9,3,3,3,9,
9,9,1,3,9,9,9,3,9,1,3,1,3,1,3,3,1,1,1,1],[1,9,18,4,9,27,18,18,6,12,9,1,12,9,
18,18,1,2,12,6,1,3,6,1,2,1],[1,27,12,4,6,3,27,6,4,3,6,12,3,36,54,27,6,4,3,18,
9,18,1,9,4,2,12,6,1,3,3,18,1,3,6,3,3,1,1,1,1],[1,9,18,1,3,6,3,27,9,3,9,3,9,3,
3,9,9,6,1,9,2,1,9,9,9,1,3,1,3,3,9,1,6,3,9,1,3,3,3,1,1,1,1],[1,9,18,4,6,3,27,9,
18,6,3,6,12,9,1,2,1,9,18,3,1,6,3,6,1,1,3,3,1,1,1,1],[1,12,3,4,6,3,9,6,6,4,1,3,
6,6,12,3,6,4,3,9,3,3,3,1,2,4,2,2,6,1,3,3,1,3,1,3,1,1,1,1],[1,9,18,4,6,3,27,18,
9,6,12,3,9,6,1,2,1,9,18,1,3,1,6,6,3,1,3,3,1,1,1,1],[1,6,9,4,6,3,9,9,12,6,2,6,
6,6,6,4,3,9,6,2,6,2,4,6,6,1,1,1,6,1,2,1],[1,9,18,1,3,3,6,27,12,9,3,6,3,9,3,9,
9,1,2,1,9,9,9,3,6,3,1,3,1,3,1,3,3,1,1,1,1],[1,27,12,4,3,6,27,6,3,12,6,3,4,36,
27,54,6,4,3,9,18,18,3,9,2,12,1,1,4,6,3,18,1,3,3,3,6,1,1,1,1],[1,27,12,4,3,6,
27,6,7,6,15,36,27,54,6,4,3,18,27,3,9,8,6,12,2,1,18,1,3,6,6,1,1,1,1],[1,3,36,1,
3,3,3,3,27,30,3,9,3,3,30,9,1,3,3,3,27,27,1,9,1,1,1,9,9,9,9,9,3,1,3,3,1,1,3,3,
1,3,3,3,27,3,1,1,3,3,3,3,3,1,1,1,1],[1,9,4,9,9,12,9,1,12,9,12,1,1,1,1,1],[1,9,
18,1,3,6,3,27,12,9,9,6,3,3,3,9,9,1,2,1,9,9,9,3,6,3,1,1,3,3,1,3,3,1,1,1,1],[1,
9,18,1,6,3,3,27,9,6,9,12,3,3,3,9,9,1,2,1,9,9,9,1,3,3,1,6,3,3,1,3,3,1,1,1,1],[
1,15,4,3,6,9,12,8,6,21,6,4,3,9,6,6,10,6,4,1,1,6,1,2,1,1],[1,9,4,9,9,12,9,1,12,
9,1,12,1,1,1,1],[1,9,18,4,3,6,27,12,18,6,6,12,9,2,1,1,9,18,3,6,1,3,6,1,1,3,3,
1,1,1,1],[1,9,18,1,3,9,27,9,9,3,9,3,9,3,9,9,3,1,9,9,9,3,3,1,3,9,1,1,3,3,1,1,1,
1],[1,9,4,6,3,27,9,6,6,6,4,3,9,6,6,1,1,3,1,1],[1,15,4,6,3,9,21,6,8,12,6,4,3,6,
9,6,10,4,6,1,1,6,1,1,2,1],[1,9,4,3,6,27,6,6,9,6,4,3,9,6,6,1,1,3,1,1],[1,12,3,
4,3,6,9,6,6,1,3,12,6,6,3,4,6,4,3,9,3,3,3,3,2,2,1,1,4,6,3,2,1,3,3,1,1,1,1,1],[
1,9,18,4,6,3,27,18,6,12,6,12,9,1,2,1,9,18,1,3,1,6,3,6,1,3,3,1,1,1,1],[1,9,18,
4,6,3,27,18,9,6,12,3,9,6,2,1,1,9,18,3,6,1,1,6,3,1,3,3,1,1,1,1],[1,27,12,4,6,3,
27,15,6,7,6,36,54,27,6,4,3,27,18,3,8,9,2,12,6,1,18,1,3,6,6,1,1,1,1],[1,9,18,4,
6,3,27,9,18,6,3,6,12,9,1,2,1,9,18,3,6,3,6,1,1,1,3,3,1,1,1,1],[1,27,4,6,3,27,
27,18,18,6,4,3,27,18,18,3,1,9,3,1],[1,9,24,10,2,2,9,24,9,36,24,9,2,6,4,6,12,2,
12,4,6,6,9,18,18,18,1,6,6,6,12,2,6,12,12,2,12,9,1,1,4,4,1,6,6,2,1,1,2,1,2,2,2,
2,2,1,1,1,2,1],[1,9,12,22,2,2,6,9,24,9,18,18,27,14,6,4,10,2,12,6,6,18,9,9,9,
18,1,18,14,6,6,12,6,12,2,9,1,4,1,4,1,6,6,2,1,2,2,2,2,1,2,1,1,2,1,1,2,1],[1,9,
10,2,2,9,18,10,9,9,2,6,6,2,6,6,9,18,1,6,2,2,6,6,6,9,1,1,1,6,6,1,1,1,1,1,1,1,1,
1,1,1],[1,9,12,4,27,18,12,4,12,9,9,9,1,12,9,1,4,2,3,1,1,1,1],[1,9,12,4,27,18,
12,4,12,9,9,9,1,12,9,4,1,3,2,1,1,1,1],[1,1,36,1,4,4,4,3,18,12,4,12,4,24,12,1,
4,12,12,9,1,9,4,12,12,3,12,6,9,4,4,4,1,1,1,3,3,1,4,3,3,3,3,1,1],[1,1,36,4,4,4,
1,3,18,24,4,12,4,12,12,4,1,12,12,1,9,9,4,12,6,12,12,3,9,4,4,4,3,1,1,1,1,3,4,3,
3,3,3,1,1],[1,3,24,12,8,4,1,18,9,10,3,18,12,9,12,3,24,3,12,6,6,1,4,18,3,9,9,
12,4,3,3,2,3,3,1,12,1,3,3,6,6,9,4,4,4,3,3,1,3,6,3,1,3,3,3,3,4,1,3,3,1,1,1,1],[
1,9,12,22,2,2,18,9,24,1,18,6,27,14,6,10,12,2,4,6,6,18,9,9,9,6,1,6,18,2,14,6,2,
6,6,2,6,12,12,9,1,4,1,4,1,6,6,6,6,6,2,6,6,2,1,1,2,1,2,2,2,2,6,1,2,1,1,2,1],[1,
3,24,12,1,8,4,12,9,3,18,10,18,9,3,6,12,3,6,12,1,4,24,18,3,12,9,9,4,1,1,3,3,12,
2,3,3,6,3,6,3,9,4,4,4,3,3,3,3,3,3,3,1,1,6,3,4,1,3,3,1,1,1,1],[1,9,12,22,2,2,
18,9,9,18,24,6,27,2,10,6,12,14,4,6,6,18,9,18,9,9,1,6,6,6,14,2,18,12,12,9,1,1,
4,4,1,6,6,2,2,2,1,2,1,2,1,2,1,1,2,1,2,1],[1,9,34,2,2,9,24,9,24,45,14,10,10,14,
6,6,9,9,18,9,18,1,6,18,14,14,6,18,9,1,4,1,4,1,6,6,2,2,1,1,1,2,2,2,2,2,1,1,1,2,
1],[1,9,12,22,2,2,6,9,1,18,24,18,27,2,10,4,6,14,12,6,6,18,9,6,9,9,1,6,6,2,14,
2,6,6,6,12,18,12,2,9,1,1,4,4,1,6,6,6,6,2,6,6,6,2,2,2,1,1,2,2,2,1,6,1,1,1,2,2,
1],[1,27,7,3,18,3,9,63,27,27,27,9,1,1,1,6,1,12,18,36,3,3,3,3,27,3,3,1,3,1,2,3,
3,1,3,3,1,1],[1,9,7,3,3,18,9,3,9,9,9,1,1,1,1,3,3,3,1,3,9,3,1,3,3,3,3,1,1,1,1,
1,1],[1,27,7,3,9,18,3,63,27,27,27,9,1,18,1,1,6,1,12,3,3,3,36,3,27,1,1,3,2,3,3,
3,1,3,3,3,1,1],[1,9,7,3,9,18,3,9,18,9,3,9,9,1,18,1,1,6,1,12,9,3,1,3,3,3,9,1,1,
3,2,3,3,3,1,1,1,1,1,1],[1,81,16,12,12,432,324,324,72,16,16,18,4,4,162,36,144,
144,36,648,12,16,12,48,36,36,1,1],[1,27,7,3,3,18,9,27,9,18,9,27,54,9,1,1,1,27,
6,1,3,9,9,9,27,3,9,9,54,3,3,1,1,2,3,9,9,9,3,3,6,1,1],[1,27,4,9,9,27,27,27,9,3,
1,3,12,3,27,3,3,3,9,3,1,1,1,1,3,3,3,3,1,1],[1,27,7,3,3,18,9,27,63,27,27,9,1,1,
1,27,6,1,3,3,3,3,27,3,9,27,3,3,1,1,2,3,1,3,3,3,3,1,1],[1,9,7,3,27,3,18,9,9,3,
9,9,1,27,1,1,9,1,1,9,3,3,3,3,9,3,1,3,3,3,3,1,1,1,1,1,1],[1,9,4,6,6,9,3,6,3,3,
9,9,12,9,9,1,2,9,1,2,18,2,12,1,1,3,9,3,1,12,3,1,1,1,1,2,1,2,2,2,1,1,3,1,1,1,
1],[1,27,4,6,9,3,9,18,27,9,27,3,6,6,4,3,9,18,3,9,6,3,1,1,2,6,3,3,1,1],[1,27,4,
6,6,9,3,6,3,3,27,18,18,9,27,9,9,9,18,1,9,9,9,2,9,1,2,3,2,1,1,3,3,27,3,9,18,18,
9,9,9,18,3,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1],[1,9,4,3,
6,9,18,9,9,3,9,6,4,3,6,3,6,9,3,3,9,1,1,2,1,3,1,1],[1,27,4,6,6,9,3,6,3,3,27,27,
18,18,9,9,9,9,18,1,2,9,1,2,18,2,12,1,1,27,3,9,3,18,18,9,6,9,9,18,1,1,1,1,2,1,
2,2,2,3,6,6,3,3,6,6,3,3,1,1],[1,27,1,6,6,3,6,3,3,9,3,9,27,18,18,9,18,9,9,27,1,
9,9,2,1,2,9,2,9,3,1,1,9,3,18,9,3,18,18,9,3,9,27,3,1,1,1,1,1,1,1,1,1,1,1,1,1,3,
3,3,3,3,3,3,3,3,3,3,3,3,1,1],[1,9,1,6,6,3,6,3,3,9,3,9,9,3,9,9,9,1,18,2,1,9,2,
2,9,1,1,3,3,9,3,1,3,9,3,1,1,1,1,2,1,2,2,2,1,1,1,3,1,1,1],[1,27,7,3,9,18,3,27,
27,9,54,18,9,9,1,18,1,1,6,1,12,6,27,54,9,9,3,3,9,9,1,1,3,2,3,3,9,3,3,6,9,9,1,
1],[1,9,7,3,27,3,18,9,9,3,9,9,1,1,1,9,1,27,1,3,9,3,3,3,9,3,3,1,3,3,3,1,1,1,1,
1,1],[1,9,7,3,18,3,9,18,9,9,3,9,9,1,1,1,6,1,12,18,1,3,3,3,9,3,9,3,3,1,3,1,2,3,
1,1,1,1,1,1],[1,27,4,6,6,9,3,6,3,3,27,27,27,9,27,27,1,2,9,1,2,18,2,12,1,1,27,
3,3,3,9,27,3,1,1,1,1,2,1,2,2,2,3,3,3,3,1,1,1],[1,9,4,3,6,9,18,9,9,3,9,6,4,3,6,
3,6,3,3,9,9,1,1,2,1,3,1,1],[1,27,1,3,6,3,6,9,6,3,3,9,27,9,18,27,18,9,9,18,3,
18,1,9,9,2,2,2,1,1,1,3,9,18,9,6,3,9,18,27,9,18,1,1,1,1,2,2,2,1,2,6,3,6,3,3,6,
6,3,3,1,1],[1,27,1,3,9,6,3,6,6,3,3,9,27,27,9,18,18,9,9,18,9,9,1,3,9,2,9,2,2,1,
1,1,3,9,3,18,9,9,18,27,3,9,18,3,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,
3,3,3,1,1],[1,9,4,6,3,6,3,6,3,9,9,9,12,9,9,1,18,2,9,2,2,1,1,12,1,3,9,12,3,1,3,
1,1,2,2,1,2,2,1,1,1,1,1,1,3,1,1],[1,9,7,3,3,18,9,18,9,3,9,9,9,1,1,1,27,6,1,3,
3,3,3,1,3,9,9,3,3,1,1,2,3,3,1,1,1,1,1,1],[1,27,4,6,3,6,3,6,3,9,9,27,18,9,18,
27,9,9,18,1,18,2,9,2,2,1,1,12,1,9,18,3,3,9,18,9,9,27,18,6,1,1,2,2,1,2,2,1,1,3,
6,3,6,6,3,6,3,3,1,1],[1,9,1,3,6,3,6,9,6,3,3,9,9,3,9,9,9,3,18,1,9,9,2,2,2,1,1,
1,3,9,3,1,3,9,3,1,1,1,1,2,2,2,1,2,1,1,3,1,1,1,1],[1,27,4,3,6,9,27,36,27,54,6,
4,3,6,3,9,12,9,18,1,1,2,1,3,1,1],[1,27,7,3,18,9,3,27,54,9,27,18,9,3,9,1,6,1,1,
27,1,9,9,9,54,3,27,9,9,3,3,1,3,2,1,9,6,3,9,3,9,1,1],[1,27,7,3,18,3,9,27,9,54,
27,18,9,9,1,1,1,6,1,12,18,6,3,9,9,54,3,9,27,9,3,3,1,3,1,2,9,9,3,6,9,3,1,1],[1,
9,4,6,9,3,18,9,3,9,9,6,6,4,3,3,3,3,6,9,9,1,1,2,1,3,1,1],[1,9,16,12,12,18,6,6,
18,72,16,16,18,4,4,9,12,12,12,12,1,12,16,12,6,2,2,6,1,1],[1,27,1,6,6,3,6,3,3,
9,3,9,27,18,18,9,18,9,9,27,1,18,2,1,9,2,2,9,1,1,3,9,18,9,6,3,3,27,18,18,9,9,1,
1,1,1,2,1,2,2,2,3,6,6,3,3,6,6,3,3,1,1],[1,9,4,6,9,3,18,3,9,9,9,3,6,6,4,3,3,3,
6,9,9,1,1,2,1,3,1,1],[1,9,7,3,3,18,9,3,9,9,1,1,1,9,1,3,3,3,3,1,9,3,1,3,3,3,3,
1,1,1,1,1,1],[1,27,1,6,6,3,6,3,3,9,3,27,27,27,9,27,27,1,18,2,1,9,2,2,9,1,1,3,
3,3,9,3,27,3,27,1,1,1,1,2,1,2,2,2,3,3,3,1,3,1,1],[1,27,1,3,9,9,9,27,27,9,27,
27,3,1,3,3,3,3,3,9,3,3,1,1,1,1,3,3,3,3,1,1],[1,9,16,12,12,18,3,9,6,9,3,72,16,
16,18,4,4,3,3,6,6,6,1,6,3,3,6,6,9,12,16,12,6,1,2,1,3,3,1,1],[1,27,4,6,9,3,6,3,
6,3,9,27,18,27,9,18,9,9,18,1,9,9,2,3,9,2,2,1,1,9,1,9,3,3,18,3,9,27,18,9,9,3,
18,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1],[1,27,4,3,6,9,9,
27,18,9,27,6,4,3,6,3,9,3,9,18,3,6,1,1,2,3,6,3,1,1],[1,27,4,9,9,27,27,27,9,3,3,
3,1,12,3,3,9,27,3,3,1,1,1,1,3,3,3,3,1,1],[1,27,1,9,9,3,9,27,27,27,9,27,3,3,1,
3,3,3,3,9,3,3,1,1,1,1,3,3,3,3,1,1],[1,9,7,3,18,9,3,18,9,3,9,9,3,9,1,6,1,1,27,
1,3,3,3,3,9,1,9,3,3,1,3,2,1,3,1,1,1,1,1,1],[1,27,4,6,3,6,3,6,3,9,27,27,27,9,
27,27,1,18,2,9,2,2,1,1,12,1,3,3,9,27,3,27,3,1,1,2,2,1,2,2,1,1,3,3,3,1,3,1,1],[
1,27,7,3,18,9,3,27,63,27,27,3,9,1,6,1,1,27,1,9,3,3,3,27,3,27,3,3,1,3,2,1,1,3,
3,3,3,1,1],[1,27,1,3,6,3,6,9,6,3,3,27,27,9,27,27,27,3,18,1,9,9,2,2,2,1,1,1,3,
9,3,3,27,3,27,1,1,1,1,2,2,2,1,2,3,3,3,3,1,1,1],[1,27,4,6,9,3,27,36,54,27,3,6,
6,4,3,9,9,12,18,1,1,2,1,3,1,1],[1,1,24,18,16,3,12,6,12,6,3,12,12,12,9,16,16,
16,9,12,6,3,1,1,12,9,6,12,3,9,6,6,6,6,12,12,16,3,6,9,6,3,6,6,6,6,3,3,3,3,4,4,
4,12,4,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,1,24,18,4,3,12,6,12,6,3,12,12,12,9,16,4,
9,12,6,3,1,1,12,9,6,12,3,9,6,6,6,6,12,8,12,3,6,9,6,3,6,6,6,6,3,3,3,3,1,4,4,4,
1,3,3,3,3,3,3,3,2,4,3,1,1,1,1],[1,1,24,18,16,3,12,6,12,6,3,12,12,12,9,16,16,
16,9,12,6,3,1,1,12,9,6,12,3,9,6,6,6,6,12,16,12,3,6,9,6,3,6,6,6,6,3,3,3,3,4,4,
4,4,12,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,1,24,18,4,3,12,6,12,6,3,12,12,12,9,16,4,
9,12,6,3,1,1,12,9,6,12,3,9,6,6,6,6,12,12,8,3,6,9,6,3,6,6,6,6,3,3,3,3,4,4,4,1,
1,3,3,3,3,3,3,3,2,4,3,1,1,1,1],[1,27,24,12,4,3,6,36,54,18,27,6,12,7,6,6,24,12,
15,6,8,36,27,54,27,6,4,3,18,18,9,18,6,27,24,6,9,36,36,3,6,9,8,6,4,12,2,2,8,12,
6,2,1,18,18,9,1,6,6,6,3,6,6,12,6,6,6,2,6,4,1,1,1,2,2,6,3,1,1,2,1,2,1],[1,6,15,
4,3,6,9,9,9,12,12,8,6,6,21,6,2,9,6,4,3,9,6,9,9,6,6,10,6,4,2,2,6,4,1,9,1,6,1,6,
1,1,2,1,2,1,1,1,1,1],[1,9,4,9,9,12,9,27,1,12,9,1,12,9,1,1,1,3,1,1],[1,18,15,4,
6,3,27,9,27,21,6,6,8,12,12,18,6,27,6,4,3,6,9,9,9,18,6,10,6,4,12,2,6,6,1,9,1,3,
6,3,6,1,1,2,2,3,1,1,1,1],[1,9,4,12,24,27,12,36,9,8,1,4,12,1,9,4,3,4,1,1],[1,
27,24,12,4,6,3,18,54,36,27,15,12,6,8,7,6,12,6,24,6,36,54,27,27,6,4,3,9,27,18,
36,9,18,6,24,6,18,36,3,2,8,9,8,4,2,12,12,2,6,6,6,1,18,9,18,1,6,12,6,4,3,6,6,6,
6,6,2,6,6,1,1,1,2,2,6,3,1,2,2,1,1,1],[1,9,4,24,12,27,12,36,9,1,8,4,12,1,9,4,3,
4,1,1],[1,27,12,4,6,3,27,9,27,15,6,7,6,36,54,27,27,6,4,3,27,9,9,18,3,8,9,2,12,
6,1,18,9,1,3,6,6,3,1,1,1,1,3,1,1,1,1],[1,9,4,24,12,27,36,12,9,4,8,1,12,1,9,4,
3,4,1,1],[1,9,4,9,27,12,9,9,1,12,27,1,12,9,1,3,1,1,3,1],[1,27,12,4,3,6,27,9,
27,6,7,6,15,36,27,54,27,6,4,3,18,9,9,27,3,9,8,6,12,2,1,18,9,1,3,6,6,3,1,1,1,1,
3,1,1,1,1],[1,9,4,24,12,27,36,12,9,1,8,4,1,12,9,4,3,4,1,1],[1,9,36,4,9,9,54,
36,36,12,12,9,27,1,12,18,36,9,4,12,12,36,1,9,1,12,1,6,1,4,3,2,1,1],[1,6,27,4,
6,3,27,27,9,27,12,18,2,18,6,6,27,6,4,3,9,27,9,6,2,18,2,4,6,18,3,9,1,1,6,3,9,3,
2,3,1,1,1,1],[1,27,36,4,6,3,54,81,45,18,21,18,36,54,27,27,6,4,3,81,45,27,54,9,
24,9,6,12,18,3,18,27,1,9,18,18,18,12,1,3,3,9,3,3,1,1],[1,27,36,4,3,6,54,81,18,
21,18,45,36,27,54,27,6,4,3,27,54,45,81,9,9,24,18,12,6,3,18,27,1,18,12,9,18,18,
3,1,3,9,1,3,3,1],[1,9,36,4,9,9,54,36,36,12,12,9,27,1,12,9,18,36,36,1,4,12,12,
9,1,6,12,1,1,4,3,2,1,1],[1,9,4,24,12,27,36,12,9,8,1,4,1,12,9,4,3,4,1,1],[1,6,
27,4,3,6,9,27,27,12,18,18,6,27,6,2,27,6,4,3,27,9,9,6,18,18,4,2,2,6,3,9,1,9,3,
6,1,3,2,3,1,1,1,1],[1,18,27,4,6,3,27,9,27,27,18,6,18,12,18,6,27,6,4,3,9,27,9,
18,18,6,12,2,6,18,3,9,1,3,6,9,1,3,2,3,1,1,1,1],[1,9,4,24,12,27,36,12,9,4,8,1,
12,1,9,4,3,4,1,1],[1,18,27,4,3,6,27,9,27,18,6,18,18,12,27,6,27,6,4,3,27,9,18,
9,6,18,18,2,6,12,3,9,1,9,6,1,3,3,2,3,1,1,1,1],[1,9,4,9,27,12,9,9,1,12,27,12,1,
9,1,3,1,1,3,1],[1,18,15,4,3,6,27,27,9,12,8,6,6,18,12,21,6,27,6,4,3,9,6,9,18,9,
6,6,10,6,2,6,12,4,1,9,1,6,1,6,3,3,2,1,2,3,1,1,1,1],[1,9,4,9,9,12,9,27,1,12,9,
12,1,9,1,1,1,3,1,1],[1,6,15,4,6,3,9,9,9,21,12,6,2,8,6,12,6,9,6,4,3,9,9,6,9,6,
6,2,10,2,4,4,6,6,1,9,1,1,6,6,1,1,1,2,2,1,1,1,1,1],[1,7,3,27,27,3,18,9,9,9,1,
27,1,1,27,9,9,6,1,27,3,3,3,3,3,3,3,1,3,1,3,3,3,2,3,3,3,3,3,1,6,1,1,3,1,1],[1,
7,3,18,18,9,18,9,3,18,9,9,3,54,54,54,9,1,6,18,1,27,1,27,6,54,6,27,6,1,12,12,
18,3,3,1,3,3,3,3,3,6,1,6,1,3,3,6,6,6,3,6,3,2,1,6,2,1,6,3,2,6,6,6,6,2,3,3,6,1,
3,3,6,3,1,1,1,6,6,6,3,1],[1,16,12,12,18,9,72,16,16,18,4,18,27,6,4,3,12,3,3,6,
16,1,6,12,2,6,3,6,1,6,3,2,1,1],[1,16,12,9,72,12,72,16,72,16,18,4,24,4,12,24,1,
12,16,24,12,12,8,12,24,12,8,4,1,1],[1,7,3,27,9,18,3,9,9,1,18,1,1,9,9,6,1,12,
27,1,3,3,3,3,1,3,3,3,2,3,3,3,3,3,3,3,3,3,1,1,1,1,6,1],[1,16,12,72,12,9,72,16,
16,18,4,24,4,12,72,12,12,12,24,24,16,12,12,1,8,24,4,1,8,1],[1,7,3,18,27,27,9,
3,3,9,1,6,27,1,1,9,9,9,27,1,27,3,3,3,3,3,3,1,3,3,3,3,2,1,3,3,3,3,3,1,3,1,1,1,
6,1],[1,16,12,18,9,12,3,18,72,16,6,16,18,4,27,4,3,3,12,6,16,12,6,3,6,2,1,6,6,
3,2,1,1,1],[1,7,3,18,27,3,9,9,9,1,27,1,1,9,6,9,1,12,18,3,3,3,3,3,1,3,3,3,3,3,
1,3,3,3,2,3,3,1,1,1,3,1,6,1],[1,1,18,4,16,16,4,3,12,3,12,9,16,16,4,4,9,3,1,1,
9,3,9,16,12,12,12,12,9,3,3,16,1,4,4,4,4,4,12,1,4,12,1,3,3,4,4,1,1,1,1,1],[1,9,
24,34,2,2,9,24,18,24,10,9,36,24,24,45,14,10,4,10,12,14,12,4,6,6,9,36,18,9,36,
18,24,9,18,18,18,18,24,1,6,6,18,2,14,14,6,2,6,6,6,12,2,18,12,12,2,12,9,9,18,
18,9,1,4,1,4,4,4,1,6,6,6,6,6,6,6,6,2,2,6,6,6,6,9,2,2,2,1,1,2,1,1,2,2,2,2,1,2,
1,2,2,1,2,6,6,1,2,2,1,2,2,1,1,2,1,1,2,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,81,18,
16,12,12,81,36,6,18,12,18,6,432,324,324,72,16,16,18,4,4,54,54,108,6,162,6,12,
12,36,144,12,144,2,12,6,6,12,12,18,36,648,12,16,12,18,9,36,18,18,36,9,18,12,
48,36,36,2,4,2,6,6,1,12,6,6,1,2,1],[1,81,16,12,12,81,432,324,324,72,16,16,18,
4,4,162,36,144,144,36,648,12,16,12,54,36,48,36,36,1,1,1],[1,81,16,12,12,81,
432,324,324,72,16,16,18,4,4,162,36,144,144,36,648,12,16,12,54,36,48,36,36,1,1,
1],[1,27,16,12,12,27,54,18,18,54,72,16,16,18,4,4,27,27,27,36,36,36,36,3,12,16,
12,27,9,18,6,6,18,1,9,1,3,1],[1,18,9,16,12,12,27,18,36,6,6,6,18,12,18,18,6,72,
16,16,18,4,4,27,9,18,9,6,12,6,12,12,12,12,12,2,12,6,6,12,12,18,12,1,12,16,12,
3,18,9,6,6,12,2,2,4,2,6,2,6,6,1,1,3,6,1,2,1],[1,27,36,7,3,18,3,9,81,45,9,54,9,
36,21,9,9,63,27,27,27,9,1,1,1,6,1,12,18,27,27,27,81,6,4,9,9,36,3,3,3,3,54,3,
12,3,36,12,9,3,27,3,3,1,3,1,2,9,9,18,9,9,9,9,9,3,3,3,1,1,3,1,3,1,3,6,9,4,1,3,
3,3,3,3,1,1,1,1],[1,18,9,16,12,12,27,18,36,6,6,6,18,12,18,18,6,72,16,16,18,4,
4,27,18,9,9,6,12,6,12,12,12,12,12,2,12,6,6,12,12,18,12,1,12,16,12,9,6,18,3,6,
12,2,2,4,2,6,2,6,6,1,3,1,6,1,2,1],[1,27,36,4,3,6,9,81,18,9,27,36,18,9,12,36,9,
27,54,27,6,4,3,6,3,27,27,54,54,9,9,6,9,12,3,3,12,18,3,6,9,9,18,1,1,2,9,9,9,18,
9,1,3,6,1,3,3,3,1,3,3,1,1,1,1],[1,27,4,6,36,3,27,27,18,18,12,24,6,4,3,27,27,
18,18,3,1,4,8,9,3,4,1,1],[1,27,4,6,36,3,27,27,18,18,24,6,4,12,3,27,27,18,18,3,
1,4,8,9,3,4,1,1],[1,27,36,7,3,3,18,9,81,45,9,27,9,21,9,9,63,27,27,27,9,54,9,1,
1,1,27,6,1,3,27,27,27,81,9,9,9,3,3,3,27,3,3,12,3,27,1,12,9,3,54,9,9,27,3,3,1,
1,2,3,9,9,9,9,9,9,9,3,1,3,9,1,1,1,9,9,3,3,1,3,3,6,3,1,3,3,3,3,3,1,1,1,1],[1,9,
54,1,3,6,3,6,9,6,3,3,81,36,9,27,9,18,27,9,18,36,9,27,3,9,9,9,9,27,27,18,3,18,
1,9,9,2,2,2,1,1,1,27,27,27,27,27,27,3,9,18,3,3,9,9,6,3,3,1,9,9,3,18,3,27,9,9,
3,27,18,3,3,27,1,1,1,1,2,2,2,1,2,9,9,9,9,9,9,9,1,3,6,3,3,6,3,1,3,6,3,6,1,3,3,
3,1,1,3,1,3,3,3,3,3,1,1,1,1],[1,9,54,4,6,3,6,3,6,3,9,81,36,9,54,18,9,9,18,54,
18,12,9,9,9,27,27,18,1,18,2,9,2,2,1,1,12,1,27,27,27,27,54,9,18,3,6,9,12,3,9,3,
18,3,9,18,54,3,1,27,18,6,3,3,1,1,2,2,1,2,2,1,1,18,9,9,9,9,9,3,1,1,6,3,6,6,3,1,
3,1,3,3,6,3,3,1,6,1,3,3,3,3,3,1,1,1,1],[1,9,16,12,12,9,18,6,6,18,72,16,16,18,
4,4,18,18,9,12,12,12,12,1,12,16,12,9,1,6,2,2,6,1,2,2,1,1],[1,27,36,7,3,9,18,3,
81,36,45,9,9,54,21,9,9,63,27,27,27,9,1,18,1,1,6,1,12,27,27,27,81,6,36,54,9,9,
3,3,3,4,3,36,3,12,3,12,9,3,27,1,1,3,2,3,3,9,9,9,9,18,9,3,9,3,1,3,1,1,3,3,3,4,
1,6,9,9,1,3,3,3,3,3,1,1,1,1],[1,9,16,12,12,81,18,6,6,18,72,16,16,18,4,4,54,54,
9,12,12,12,12,1,12,16,12,9,9,6,2,2,6,1,6,6,1,1],[1,27,4,3,6,36,27,18,18,27,6,
4,3,24,12,27,27,18,18,3,4,1,8,9,3,4,1,1],[1,81,18,16,12,12,81,36,12,12,36,432,
324,324,72,16,16,18,4,4,108,108,18,24,162,24,24,36,144,144,36,24,2,648,12,16,
12,18,72,36,36,12,48,36,4,36,4,12,1,12,12,1,2,1],[1,27,4,3,6,36,27,18,18,27,6,
4,3,24,12,27,27,18,18,3,1,4,8,9,3,4,1,1],[1,9,54,4,6,6,9,3,6,3,3,81,54,9,54,
18,18,9,9,36,18,12,9,9,9,27,27,18,1,2,9,1,2,18,2,12,1,1,27,27,27,27,54,54,3,3,
9,3,1,3,9,6,18,18,12,9,6,9,3,18,27,18,3,3,1,1,1,1,2,1,2,2,2,9,9,9,18,9,9,3,1,
6,6,3,3,3,6,1,3,6,3,3,3,1,6,1,1,1,3,3,3,3,3,1,1,1,1],[1,9,54,1,6,6,3,6,3,3,9,
3,81,36,9,27,18,18,9,9,27,18,36,9,9,3,27,9,9,9,27,27,1,18,2,1,9,2,2,9,1,1,3,
27,27,27,27,27,27,9,18,3,3,9,9,6,3,3,3,27,3,1,18,18,3,9,9,9,9,3,27,3,3,27,1,1,
1,1,2,1,2,2,2,9,9,9,9,9,9,9,3,6,6,3,3,1,1,6,3,3,6,1,3,3,3,1,1,3,3,1,3,3,3,3,3,
1,1,1,1],[1,27,16,12,12,27,54,18,18,54,72,16,16,18,4,4,27,27,27,36,36,36,36,3,
12,16,12,27,9,18,6,6,18,1,1,9,3,1],[1,27,36,4,6,9,3,81,27,18,12,9,9,18,36,9,
36,54,27,27,3,6,6,4,3,27,54,27,54,3,9,12,9,6,12,18,3,9,9,6,9,3,18,1,1,2,9,18,
9,9,9,1,1,6,3,3,3,3,1,3,3,1,1,1,1],[1,27,36,7,3,18,9,3,81,27,45,54,9,27,9,21,
9,9,63,27,27,9,3,9,1,6,1,1,27,1,27,27,27,81,9,9,9,3,3,9,3,3,54,3,27,12,27,3,
12,9,3,1,9,27,3,3,1,3,2,1,9,9,9,9,9,9,9,3,1,9,6,1,3,3,3,9,3,1,9,1,3,3,1,1,3,3,
3,3,3,1,1,1,1],[1,27,24,36,4,3,6,36,27,9,54,54,18,81,18,12,21,6,18,24,12,45,6,
8,36,27,54,54,27,36,27,27,6,4,3,27,18,54,45,9,9,9,18,6,81,24,6,9,36,36,27,9,6,
9,24,18,4,12,2,2,8,12,6,6,3,18,9,9,18,9,9,9,27,9,1,18,12,6,6,6,9,6,18,12,18,6,
3,6,2,6,1,4,9,3,1,3,2,2,3,6,9,4,3,6,1,1,1,1,2,3,3,1,2,3,1,1,1,1,1,1,1,1],[1,9,
36,4,9,27,54,36,36,12,12,9,27,9,27,1,12,27,18,36,27,36,1,4,12,12,9,9,9,1,6,12,
3,9,1,4,3,1,3,2,3,3,1,1,1,1],[1,9,36,4,24,12,27,54,36,36,12,12,12,36,24,27,9,
27,1,8,4,36,36,27,1,12,4,12,24,12,9,4,6,12,3,9,4,4,4,3,1,3,4,3,1,1],[1,9,36,4,
24,12,27,54,36,24,48,12,12,36,27,9,27,1,8,4,36,36,27,4,12,1,24,12,12,9,4,12,6,
3,9,4,4,4,3,1,3,4,3,1,1],[1,9,36,4,12,24,27,54,48,36,24,12,12,36,9,27,27,8,1,
4,36,36,27,12,24,4,12,12,1,9,4,3,12,6,9,4,4,4,3,1,3,4,3,1,1],[1,9,36,4,24,12,
27,54,36,36,24,12,12,12,36,9,27,27,4,8,1,36,36,27,12,24,12,12,1,4,9,4,3,12,6,
9,4,4,4,3,1,3,4,3,1,1],[1,27,24,36,4,6,3,18,27,54,9,54,36,81,45,12,18,8,21,6,
12,18,24,6,36,54,27,54,27,27,27,36,6,4,3,9,81,9,45,27,18,9,36,9,54,6,24,6,18,
36,27,9,2,24,9,8,4,6,12,12,2,6,6,18,3,18,9,9,27,9,18,9,9,9,1,6,12,6,4,9,6,18,
6,18,6,2,18,3,6,12,6,1,9,1,3,3,2,2,3,6,9,6,3,4,1,1,2,2,1,1,3,3,1,3,1,1,1,1,1,
1,1,1],[1,9,36,4,9,27,54,36,36,12,12,9,9,27,27,1,12,18,36,27,27,4,12,12,36,1,
9,9,9,1,12,3,6,9,1,4,3,1,3,2,3,3,1,1,1,1],[1,9,36,4,24,12,27,54,36,36,24,12,
12,12,36,27,9,27,4,8,1,36,36,27,12,1,24,12,12,4,9,4,6,12,3,9,4,4,4,3,1,3,4,3,
1,1],[1,9,36,4,24,12,27,54,36,36,12,12,12,36,24,9,27,27,8,1,4,36,36,27,12,12,
4,1,24,12,9,4,3,6,12,9,4,4,4,3,1,3,4,3,1,1],[1,81,16,12,18,9,12,81,432,324,
324,3,18,72,16,6,16,18,4,27,4,162,27,36,144,144,81,36,648,3,3,12,6,16,12,6,3,
6,2,1,6,48,36,9,9,36,9,9,6,3,2,1,1,1,3,9,1,1],[1,81,16,12,9,72,12,432,324,324,
81,72,16,72,16,18,4,24,4,12,162,36,144,144,108,36,648,24,1,12,16,24,12,12,8,
12,24,12,9,48,36,36,36,36,36,8,4,1,12,1,1,1],[1,27,7,3,18,18,9,18,9,3,18,9,9,
27,54,27,27,9,27,27,27,3,54,54,54,9,1,6,18,1,27,1,27,6,54,6,27,6,1,12,12,18,3,
27,3,9,3,9,9,27,3,9,27,27,3,27,27,3,1,3,3,3,3,3,6,1,6,1,3,3,6,6,6,3,6,3,2,1,6,
2,1,6,3,2,6,6,6,6,2,3,3,6,9,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,3,3,1,3,3,6,3,1,1,1,
6,6,6,3,3,3,1,3,1,3,1,1,1,1],[1,27,7,3,18,27,3,9,54,27,27,27,9,27,9,9,1,27,1,
1,9,6,9,1,12,18,3,27,3,9,9,9,27,3,9,3,27,3,3,3,3,3,1,3,3,3,3,3,1,3,3,3,2,3,3,
9,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,3,1,6,3,3,3,3,1,1,1],[1,27,7,3,27,9,
18,3,27,54,27,27,9,27,9,9,1,18,1,1,9,9,6,1,12,27,27,3,9,3,27,9,9,3,9,3,27,1,3,
3,3,3,1,3,3,3,2,3,3,3,3,3,3,3,3,9,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,1,6,
3,3,1,3,3,1,1],[1,27,16,12,72,12,9,54,9,54,27,27,18,27,9,72,16,16,18,4,24,4,
12,72,9,9,6,3,18,18,18,54,3,18,9,9,18,27,18,27,12,12,12,24,24,16,12,12,1,8,24,
9,9,18,3,3,6,6,3,6,3,6,6,9,3,3,9,9,4,1,8,6,3,1,3,1,1],[1,27,7,3,27,27,3,18,9,
54,27,27,27,9,27,27,9,9,1,27,1,1,27,9,9,6,1,27,3,3,3,27,9,27,9,9,3,3,9,27,27,
3,3,3,3,3,3,1,3,1,3,3,3,2,3,3,3,3,3,9,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,6,1,1,
3,1,3,3,3,3,1,1,1],[1,27,16,12,18,9,12,54,9,27,18,27,9,27,3,18,72,16,6,16,18,
4,27,4,9,9,18,18,18,3,18,9,9,18,6,18,27,3,27,3,3,12,6,16,12,6,3,6,2,1,6,18,3,
6,3,6,6,3,6,3,3,9,9,3,6,6,3,2,1,1,6,1,3,3,1,1],[1,81,7,3,18,18,9,18,9,3,18,9,
9,81,81,162,27,162,81,162,81,54,27,81,162,3,54,54,54,9,1,6,18,1,27,1,27,6,54,
6,27,6,1,12,12,18,3,27,18,81,54,18,162,9,27,27,54,27,27,81,9,162,162,9,81,27,
54,81,27,162,54,3,1,3,3,3,3,3,6,1,6,1,3,3,6,6,6,3,6,3,2,1,6,2,1,6,3,2,6,6,6,6,
2,3,3,6,27,27,54,27,54,54,27,54,27,27,54,54,54,18,54,54,54,9,27,27,54,54,27,9,
9,54,27,9,18,27,18,18,9,27,27,1,3,3,6,3,1,1,1,6,6,6,3,3,18,9,18,3,9,18,9,3,3,
9,18,1,1],[1,81,16,12,72,12,9,432,324,324,81,72,16,16,18,4,24,4,12,72,162,108,
36,144,144,36,648,12,12,12,24,24,16,12,12,1,8,24,9,36,48,36,36,36,36,4,1,8,12,
1,1,1],[1,27,16,12,12,18,9,54,9,27,18,27,9,27,72,16,16,18,4,18,27,6,4,3,9,9,
18,18,18,3,18,9,9,18,3,18,6,27,27,12,3,3,6,16,1,6,12,2,6,3,6,18,3,3,3,6,6,6,6,
3,6,3,3,9,9,1,6,3,2,1,3,6,3,1,1,1],[1,27,7,3,18,27,27,9,3,54,27,27,27,9,27,27,
3,9,1,6,27,1,1,9,9,9,27,1,27,3,3,27,9,27,9,9,9,3,27,3,27,3,3,3,3,3,3,1,3,3,3,
3,2,1,3,3,3,3,3,9,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,3,1,1,1,6,3,3,3,1,3,1,1],[
1,27,16,12,18,9,12,54,54,9,27,27,18,27,9,3,18,72,16,6,16,18,4,27,4,9,9,18,18,
9,18,54,3,27,18,9,9,18,18,27,3,3,12,6,16,12,6,3,6,2,1,6,18,9,6,3,9,3,6,9,3,9,
9,6,3,2,1,1,1,6,3,3,1,1],[1,27,7,3,18,18,9,18,9,3,18,9,9,27,27,63,27,27,27,27,
3,54,54,54,9,1,6,18,1,27,1,27,6,54,6,27,6,1,12,12,18,3,9,27,36,3,3,3,36,27,27,
3,9,27,3,1,3,3,3,3,3,6,1,6,1,3,3,6,6,6,3,6,3,2,1,6,2,1,6,3,2,6,6,6,6,2,3,3,6,
3,3,3,1,3,3,3,3,3,3,3,3,9,3,3,3,3,3,1,3,3,6,3,1,1,1,6,6,6,3,1,1,1,3,3,3,3,1,1,
1],[1,27,16,12,9,72,12,27,54,9,27,54,18,27,9,72,16,72,16,18,4,24,4,12,9,6,27,
9,54,18,18,18,3,3,18,9,9,18,18,27,24,1,12,16,24,12,12,8,12,24,12,9,18,3,3,6,3,
6,3,3,6,6,9,3,9,9,9,6,8,4,1,3,6,1,3,1,1],[1,27,16,12,12,18,9,54,9,27,18,27,9,
27,54,72,16,16,18,4,18,27,6,4,3,9,9,9,18,18,18,27,3,18,9,9,18,18,27,54,12,3,3,
6,16,1,6,12,2,6,3,6,18,9,9,9,3,3,6,6,3,9,9,1,6,3,2,1,1,3,6,3,1,1],[1,81,16,12,
12,18,9,81,432,324,324,72,16,16,18,4,18,27,6,4,3,162,36,144,144,81,36,27,648,
12,3,3,6,16,1,6,12,2,6,3,6,48,9,36,36,9,9,9,1,6,3,2,1,1,3,9,1,1],[1,1,72,18,4,
16,16,4,3,36,18,12,18,3,36,12,36,9,48,16,48,16,48,48,4,4,48,48,9,36,18,3,1,1,
36,9,18,36,3,9,18,18,18,18,36,16,12,48,24,12,12,48,24,12,9,18,9,18,3,18,18,18,
18,9,3,9,9,16,16,16,1,12,4,4,12,12,12,12,4,4,12,4,12,1,12,4,12,12,1,9,9,9,9,9,
9,16,3,12,3,6,12,6,12,12,12,12,12,12,9,4,4,3,1,3,3,3,1,1,1,4,4,3,3,3,3,1,1],[
1,18,27,4,6,36,3,81,27,27,27,36,18,6,18,36,18,18,81,12,24,6,4,3,27,27,27,27,
18,6,18,6,12,36,18,18,3,27,27,1,4,8,3,18,9,9,4,3,6,9,4,3,3,1,4,3,1,1],[1,9,4,
24,24,9,12,24,12,12,27,36,36,12,9,36,9,4,8,36,1,8,72,8,12,4,4,27,12,36,12,1,
12,12,9,9,9,9,1,4,4,4,8,4,8,8,8,3,1,4,12,4,4,1,9,4,3,4,1,1,1,1,1],[1,81,36,16,
12,12,81,162,72,24,24,72,432,324,324,81,72,16,16,18,4,4,216,216,36,48,162,48,
48,36,144,144,36,48,4,648,12,16,12,54,36,144,72,72,36,24,48,36,8,36,8,24,36,1,
24,24,1,4,1,2,1],[1,18,27,4,3,6,36,27,81,27,36,18,18,18,27,18,6,36,81,6,4,3,
24,12,27,27,27,27,18,18,18,12,36,6,6,18,3,27,27,4,1,8,9,9,18,3,3,4,6,9,4,3,1,
3,4,3,1,1],[1,81,16,12,12,243,432,324,324,81,72,16,16,18,4,4,162,36,144,144,
36,648,12,16,12,162,108,48,36,36,36,1,1,3,1],[1,18,27,4,6,36,3,81,27,27,27,36,
36,18,6,18,18,18,81,24,6,4,12,3,27,27,27,27,18,6,18,6,12,36,18,18,3,27,27,1,4,
8,3,18,9,9,4,3,6,9,4,3,3,1,4,3,1,1],[1,9,4,24,12,24,12,24,12,9,27,36,36,12,36,
9,9,4,72,8,36,8,8,1,4,12,4,27,12,36,12,12,1,12,9,9,9,9,4,4,8,8,1,8,8,4,4,3,1,
4,4,4,12,9,1,4,3,4,1,1,1,1,1],[1,18,27,16,12,12,27,81,27,54,36,18,6,18,18,12,
54,18,6,81,72,16,16,18,4,4,27,27,27,54,54,18,9,27,6,36,6,36,12,36,12,12,2,12,
6,6,12,12,18,36,3,27,27,12,16,12,27,9,9,9,6,9,18,3,18,12,6,2,4,6,18,2,6,6,9,9,
1,3,1,1,6,9,6,6,3,2,3,3,1,1,1,1],[1,27,36,4,3,6,36,54,81,18,21,18,108,45,36,
27,54,27,6,4,3,24,12,27,27,54,45,81,9,9,24,18,12,6,3,36,18,27,27,4,1,8,18,12,
9,18,18,3,1,3,12,9,4,1,3,3,4,1,1,1],[1,54,27,4,3,6,36,81,27,27,18,18,18,54,36,
27,18,108,81,6,4,3,24,12,27,27,27,54,27,18,18,18,6,18,36,12,24,3,27,27,4,1,8,
9,18,3,9,3,12,24,6,9,4,3,3,1,4,3,1,1],[1,81,36,16,12,12,81,162,72,12,36,24,36,
12,432,324,324,81,72,16,16,18,4,4,108,108,216,12,162,12,24,24,36,144,24,144,4,
24,12,12,24,24,36,36,648,12,16,12,36,18,54,72,36,36,72,18,36,36,24,48,36,36,4,
8,4,12,12,18,18,1,24,12,12,1,4,2,1,1],[1,18,27,16,12,12,27,9,27,54,36,18,6,18,
18,12,54,18,6,27,72,16,16,18,4,4,27,18,27,18,27,18,9,27,6,36,6,36,12,36,12,12,
2,12,6,6,12,12,18,36,3,27,9,12,16,12,27,9,9,6,9,18,1,3,18,12,6,2,4,6,18,2,6,6,
3,9,1,3,2,2,1,1,6,9,3,2,3,1,1,1,1,1],[1,27,36,4,6,36,3,54,81,108,45,18,21,18,
36,54,27,27,12,24,6,4,3,81,45,27,27,54,9,24,9,36,6,12,18,3,18,27,27,1,4,8,9,
18,18,18,12,1,3,3,12,9,4,3,3,1,4,1,1,1],[1,81,18,16,12,12,81,81,81,36,12,12,
36,432,324,324,81,72,16,16,18,4,4,108,108,18,24,162,24,24,36,144,144,36,24,2,
648,12,16,12,54,54,18,36,72,36,36,36,12,48,36,4,36,4,12,18,1,12,12,1,2,1,1,1,
1],[1,81,18,16,12,12,81,9,81,36,12,12,36,432,324,324,81,72,16,16,18,4,4,108,
18,18,54,54,108,18,24,162,24,24,36,144,144,36,24,2,648,54,54,12,16,12,18,9,72,
36,36,9,9,1,12,48,36,4,36,4,12,9,9,1,2,2,12,6,6,12,1,2,6,6,1,1,1,1],[1,54,27,
4,6,36,3,27,27,81,27,18,18,18,36,54,18,108,81,12,24,6,4,3,27,27,27,27,54,18,
18,36,6,18,24,18,3,12,27,27,1,4,8,9,18,9,3,24,12,3,6,9,4,3,3,1,4,3,1,1],[1,18,
27,4,3,6,36,27,81,27,36,18,18,18,27,18,6,36,81,6,4,3,24,12,27,27,27,27,18,18,
18,12,6,6,18,36,3,27,27,1,4,8,9,9,18,3,3,4,6,9,4,3,1,3,4,3,1,1],[1,81,36,18,
16,12,12,54,162,54,81,36,72,12,12,12,36,24,36,36,12,432,324,324,81,72,16,16,
18,4,4,54,108,54,108,18,108,36,36,18,108,216,18,12,24,162,12,24,24,24,24,36,
144,24,144,4,24,12,12,24,24,36,36,24,2,648,54,54,12,16,12,36,18,72,36,6,18,36,
72,36,72,18,36,36,36,18,12,18,12,36,6,12,24,48,36,4,36,4,8,4,12,4,12,12,36,9,
9,1,6,24,2,2,12,12,6,12,12,12,12,1,2,4,6,6,2,2,2,1,1],[1,81,54,16,12,12,108,
243,108,36,36,108,432,324,324,81,72,16,16,18,4,4,108,324,108,324,54,72,162,72,
72,36,144,144,36,72,6,648,108,12,16,12,108,36,54,216,108,108,36,48,36,12,36,
12,36,54,1,4,36,36,36,1,6,12,3,4,1],[1,81,16,12,12,243,432,324,324,81,72,16,
16,18,4,4,162,36,144,144,36,648,12,16,12,162,108,48,36,36,36,1,1,3,1],[1,81,
54,16,12,12,108,243,108,36,36,108,432,324,324,81,72,16,16,18,4,4,324,108,108,
324,54,72,162,72,72,36,144,144,36,72,6,648,108,12,16,12,54,216,108,108,108,36,
36,48,36,12,36,12,36,54,1,36,36,36,4,1,6,12,4,3,1],[1,81,16,12,12,81,432,324,
324,81,72,16,16,18,4,4,162,36,144,144,36,648,12,16,12,54,36,48,36,36,18,1,1,1,
1],[1,81,16,12,12,81,432,324,324,81,72,16,16,18,4,4,162,36,144,144,36,648,12,
16,12,54,36,48,36,36,18,1,1,1,1],[1,18,27,16,12,12,81,27,27,54,36,18,6,18,18,
12,54,18,6,81,72,16,16,18,4,4,27,27,27,54,54,9,18,27,6,36,6,36,12,36,12,12,2,
12,6,6,12,12,18,36,3,27,27,12,16,12,3,9,18,27,9,9,6,9,18,12,6,2,4,6,18,2,6,6,
9,9,1,1,3,6,9,6,6,1,3,2,3,3,1,1,1,1],[1,18,27,16,12,12,27,9,27,54,36,18,6,18,
18,12,54,18,6,27,72,16,16,18,4,4,27,18,27,27,18,9,18,27,6,36,6,36,12,36,12,12,
2,12,6,6,12,12,18,36,3,9,27,12,16,12,3,18,9,27,9,6,9,1,18,12,6,2,4,6,18,2,6,6,
3,9,1,2,1,2,3,9,6,1,3,2,1,3,1,1,1,1],[1,81,36,16,12,12,81,162,72,24,24,72,432,
324,324,81,72,16,16,18,4,4,216,216,36,48,162,48,48,36,144,144,36,48,4,648,12,
16,12,54,36,36,144,72,72,24,48,36,8,36,8,24,36,1,24,24,1,4,1,2,1],[1,81,36,16,
12,12,81,162,72,12,36,24,36,12,432,324,324,81,72,16,16,18,4,4,108,108,216,12,
162,12,24,24,36,144,24,144,4,24,12,12,24,24,36,36,648,12,16,12,36,18,54,72,36,
36,36,72,18,36,24,48,36,36,4,8,4,12,12,18,18,1,24,12,12,1,4,2,1,1],[1,16,12,
18,72,9,72,9,12,18,9,9,3,18,54,54,54,72,16,6,72,16,27,18,4,18,27,24,54,24,27,
6,4,12,12,72,3,24,3,1,3,12,3,12,12,3,6,6,24,24,6,16,24,6,1,3,6,12,6,6,12,6,6,
3,6,12,8,1,6,6,2,1,6,12,2,6,6,6,6,6,6,8,24,24,12,3,6,6,6,1,3,3,6,6,12,8,6,6,3,
3,2,6,1,4,3,4,6,6,2,6,1,8,6,12,3,12,12,2,1,1,1,2,1,2,1,2,1],[1,81,54,16,12,18,
9,12,243,81,108,54,18,27,54,36,54,18,432,324,324,27,3,18,72,16,6,16,18,4,27,4,
81,162,162,324,18,162,18,27,36,36,36,144,9,36,144,54,6,27,36,18,18,81,36,6,36,
54,36,3,27,648,3,3,12,6,16,12,6,3,6,2,1,6,54,27,108,54,27,54,108,27,27,54,36,
48,9,36,6,3,9,3,6,9,36,9,6,6,12,3,9,6,3,9,9,6,18,18,3,6,6,3,2,1,1,36,9,18,9,
18,9,9,6,1,1,1,6,3,6,3,3,9,1,3,3,3,1,1,1,1],[1,27,16,12,72,36,12,27,54,18,18,
54,12,72,72,16,24,16,18,4,108,4,54,27,27,27,27,36,36,36,36,3,12,12,12,24,16,
12,24,12,24,8,4,24,27,27,9,18,6,6,18,24,12,8,4,1,9,1,3,4,1,1,2,1],[1,81,16,12,
9,72,12,81,432,324,324,81,72,16,72,16,18,4,24,4,12,81,162,36,144,144,108,36,
648,24,1,12,16,24,12,12,8,12,24,12,54,36,9,48,36,36,36,36,36,8,4,1,9,12,1,1,1,
1,1],[1,81,54,16,12,12,18,9,243,108,18,81,54,36,54,18,432,27,324,324,27,54,72,
16,16,18,4,18,27,6,4,3,81,162,162,324,9,18,162,18,36,36,36,144,36,27,144,6,36,
18,18,36,81,3,36,6,54,36,54,27,27,648,12,3,3,6,16,1,6,12,2,6,3,6,54,27,27,108,
54,54,108,27,54,27,36,48,9,9,36,3,3,3,6,6,6,9,9,36,6,3,6,12,3,9,9,6,9,6,18,18,
1,6,3,2,1,36,9,18,9,9,18,9,1,1,3,3,6,3,9,6,6,1,1,3,3,3,1,1,1,1],[1,27,16,12,
12,72,36,27,54,18,18,54,72,16,16,18,4,72,108,24,4,12,27,27,27,54,27,36,36,36,
36,3,12,12,12,24,16,4,24,12,8,24,12,24,27,9,27,18,6,6,18,4,24,12,8,1,1,9,3,4,
1,2,1,1],[1,27,108,7,3,18,18,9,18,9,3,18,9,9,243,108,27,135,162,27,162,81,27,
27,162,108,63,27,27,63,81,27,27,27,27,27,27,162,3,54,54,54,9,1,6,18,1,27,1,27,
6,54,6,27,6,1,12,12,18,3,81,81,81,81,81,81,243,27,18,108,54,18,162,9,12,27,27,
27,54,36,3,27,3,27,9,81,12,3,162,162,36,9,81,36,54,27,9,108,27,3,36,27,3,27,
162,54,3,9,27,27,27,3,1,3,3,3,3,3,6,1,6,1,3,3,6,6,6,3,6,3,2,1,6,2,1,6,3,2,6,6,
6,6,2,3,3,6,27,27,27,27,54,27,27,27,54,27,27,27,27,27,3,54,27,3,3,9,54,1,3,54,
27,3,54,27,3,3,3,27,3,54,54,3,54,18,3,3,3,54,3,54,3,54,3,9,3,3,27,27,3,3,54,9,
54,27,9,9,3,54,3,3,27,3,12,3,18,27,3,3,3,18,1,18,12,3,27,27,3,1,3,3,6,3,1,1,1,
6,6,6,3,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,1,1,3,3,1,3,18,9,18,3,3,3,1,9,18,
3,3,9,3,3,3,9,1,18,3,1,1,1,1,3,3,3,3,3,3,3,3,1,1,1,1],[1,81,54,16,12,72,12,9,
243,108,18,108,54,54,36,54,18,432,324,324,81,72,16,16,18,4,24,4,12,72,81,162,
162,324,18,162,18,12,6,36,36,108,36,144,36,144,108,6,36,18,18,36,54,36,54,36,
648,12,12,12,24,24,16,12,12,1,8,24,54,27,108,54,54,54,108,27,54,18,18,9,36,36,
48,6,36,6,36,36,12,12,36,6,12,6,12,12,18,6,6,18,18,4,1,8,18,36,9,18,18,18,18,
12,1,12,6,2,6,1,3,6,2,1,1],[1,81,16,12,72,12,9,81,432,324,324,81,72,16,16,18,
4,24,4,12,72,81,162,108,36,144,144,36,648,12,12,12,24,24,16,12,12,1,8,24,54,
36,9,36,48,36,36,36,36,4,1,8,9,12,1,1,1,1,1],[1,81,54,16,12,9,72,12,243,54,
108,18,54,108,36,54,18,432,324,324,81,72,16,72,16,18,4,24,4,12,81,162,162,324,
18,12,54,162,18,108,36,36,36,144,36,6,144,108,6,36,18,18,36,36,54,36,648,24,1,
12,16,24,12,12,8,12,24,12,54,27,108,54,54,108,27,54,54,9,18,36,48,36,36,6,6,
36,36,36,12,6,12,6,6,12,12,18,6,18,18,18,12,8,4,1,36,9,18,18,18,18,18,12,6,1,
12,2,6,1,3,6,1,2,1],[1,27,72,36,4,3,6,36,108,81,27,162,54,54,81,18,36,21,18,
18,108,72,36,45,18,24,36,36,27,54,108,162,27,108,81,81,6,4,3,24,12,27,54,27,
54,45,27,108,27,27,54,18,81,72,18,27,108,108,81,9,18,9,24,18,12,36,12,6,6,24,
36,12,24,18,6,3,36,18,27,27,54,27,27,27,27,27,27,27,27,4,1,8,18,12,18,18,18,9,
18,18,36,18,36,18,9,18,6,18,3,12,27,27,3,1,3,12,24,4,6,12,6,9,18,9,12,9,18,4,
3,3,3,1,12,6,3,3,3,6,9,4,4,4,3,3,3,1,3,3,3,4,1,3,1,1,1,1],[1,81,54,16,12,12,
81,243,243,108,36,36,108,432,324,324,243,81,243,72,16,16,18,4,4,324,324,81,54,
72,162,72,72,36,144,144,36,72,6,648,12,16,12,162,54,54,108,216,108,108,36,36,
48,36,12,36,12,36,54,36,108,1,36,36,1,6,3,1,3,1,3,3,1],[1,81,36,36,16,12,12,
81,162,162,72,72,24,12,24,36,24,72,36,12,432,324,324,81,81,81,72,16,16,18,4,4,
216,108,216,108,216,81,36,12,48,162,12,48,24,48,24,36,144,24,144,4,24,12,12,
24,24,36,36,48,4,648,12,16,12,36,18,54,72,36,36,144,36,72,18,72,72,36,36,24,
24,48,36,8,36,4,8,8,24,4,12,12,18,36,18,18,1,24,12,12,24,24,1,4,4,2,1,2,1,1,1,
1],[1,81,36,36,16,12,12,81,162,162,72,72,24,12,24,36,24,72,36,12,432,324,324,
81,81,81,72,16,16,18,4,4,216,108,216,108,216,81,36,12,48,162,12,48,24,48,24,
36,144,24,144,4,24,12,12,24,24,36,36,48,4,648,12,16,12,36,18,54,72,36,36,36,
144,36,72,18,72,72,36,24,24,48,36,8,36,4,8,8,24,4,12,12,18,36,18,18,1,24,12,
12,24,24,1,4,4,2,1,2,1,1,1,1],[1,81,18,16,12,12,81,81,81,36,12,12,36,432,324,
324,81,162,72,16,16,18,4,4,108,108,81,18,24,162,24,24,36,144,144,36,24,2,648,
12,16,12,54,54,18,36,72,36,36,36,12,48,36,4,36,4,12,18,36,1,12,12,1,2,1,1,1,1,
2,1],[1,81,72,18,16,12,12,81,108,81,324,108,81,36,144,12,24,12,72,48,36,72,24,
432,324,324,81,162,162,162,72,16,16,18,4,4,108,108,108,216,36,108,72,72,36,
216,432,81,18,24,24,162,24,24,48,24,48,36,144,48,144,8,48,24,24,48,48,72,36,
24,2,648,108,108,12,16,12,72,36,54,54,144,72,12,18,36,72,72,72,144,36,36,36,
72,36,24,36,36,24,72,12,12,48,48,36,4,36,8,16,4,12,8,24,24,36,72,36,18,18,18,
36,36,1,12,48,4,4,24,24,12,24,12,24,12,18,1,2,8,12,12,4,1,1,4,4,1,2,1,2,2,1],[
1,81,54,16,12,12,243,81,243,108,36,36,108,432,324,324,243,81,243,72,16,16,18,
4,4,324,324,81,54,72,162,72,72,36,144,144,36,72,6,648,12,16,12,54,162,54,36,
216,108,108,108,36,48,36,12,36,12,36,108,36,54,1,36,36,1,6,1,3,3,3,3,1,1],[1,
81,90,16,12,12,81,108,81,108,405,180,60,60,180,432,324,324,81,81,162,81,162,
72,16,16,18,4,4,108,540,108,108,108,540,81,90,120,162,120,120,36,144,144,36,
120,10,648,108,108,12,16,12,108,36,54,54,90,36,360,180,180,36,108,36,60,48,36,
20,36,20,60,72,54,54,18,72,1,4,60,36,36,60,4,18,1,10,12,12,1,1,4,5,4,2,1,1,1,
2,1],[1,9,108,4,24,12,24,12,24,12,9,27,162,144,36,108,72,36,36,72,108,36,12,
36,36,9,108,108,72,9,81,81,4,72,8,36,8,8,1,4,12,4,108,54,108,108,108,27,81,36,
72,12,12,36,12,12,36,12,72,12,36,36,108,12,1,108,72,24,12,12,27,9,9,9,9,27,4,
4,8,8,1,8,8,4,4,36,3,36,36,18,36,36,27,27,27,27,12,1,4,24,12,24,24,12,4,12,4,
12,12,24,12,12,4,12,9,9,1,9,4,6,12,3,12,12,12,9,9,4,4,4,1,3,1,1,1,3,4,3,3,3,3,
1,1],[1,81,18,16,12,12,81,162,18,81,81,36,12,12,36,432,324,324,81,162,72,16,
16,18,4,4,108,36,36,108,108,108,81,18,24,162,24,24,36,144,144,36,24,2,648,108,
108,12,16,12,54,54,18,18,36,72,36,36,18,36,18,2,12,48,36,4,36,4,12,18,18,18,1,
4,4,12,12,12,12,18,1,2,12,12,1,1,2,2,1,1,2,1],[1,9,108,4,24,24,9,12,24,12,12,
27,162,108,36,108,72,72,36,36,144,36,12,36,9,36,108,108,72,81,9,81,4,8,36,1,8,
72,8,12,4,4,108,108,27,108,54,108,81,108,12,12,36,12,1,12,36,12,72,72,12,36,
24,36,12,36,108,72,12,12,9,9,9,27,27,9,1,4,4,4,8,4,8,8,8,36,18,36,36,36,3,36,
27,27,27,27,12,1,24,24,12,12,12,24,4,12,24,12,12,12,4,12,4,4,9,1,9,9,4,6,12,
12,12,3,12,9,9,4,4,4,3,1,1,1,1,3,4,3,3,3,3,1,1],[1,81,36,54,16,12,12,54,81,9,
162,108,54,243,108,72,36,12,36,36,24,108,36,12,432,324,324,162,81,54,81,81,72,
16,16,18,4,4,108,54,324,18,108,18,54,54,54,108,18,324,36,36,18,108,216,81,54,
12,72,162,12,72,24,72,24,36,144,24,144,4,24,12,12,24,24,36,36,72,6,648,54,54,
54,54,54,18,54,108,54,12,16,12,108,36,36,18,72,36,6,54,9,36,216,36,72,18,108,
108,36,18,12,9,9,18,12,36,1,6,54,36,24,48,36,12,36,4,8,12,36,4,12,12,9,36,54,
6,9,9,9,18,18,18,1,6,2,24,2,2,2,4,12,12,6,12,36,36,6,6,12,36,9,9,1,6,4,6,6,6,
6,6,12,6,2,6,2,2,2,1,1,3,4,6,2,2,1,1,1,1],[1,81,36,16,12,12,243,162,72,12,36,
24,36,12,432,324,324,81,81,81,72,16,16,18,4,4,108,108,216,81,12,162,12,24,24,
36,144,24,144,4,24,12,12,24,24,36,36,648,12,16,12,36,18,162,72,36,36,72,18,36,
108,24,48,36,36,4,8,4,12,12,18,18,36,18,1,24,12,12,18,1,4,2,3,1,1,1,1],[1,81,
18,16,12,12,81,81,81,36,12,12,36,432,324,324,81,162,72,16,16,18,4,4,108,108,
81,18,24,162,24,24,36,144,144,36,24,2,648,12,16,12,54,54,18,36,72,36,36,36,12,
48,36,4,36,4,12,18,36,1,12,12,1,2,1,1,1,1,2,1],[1,27,72,36,4,6,36,3,54,81,54,
27,162,108,81,108,45,36,18,24,21,36,18,36,18,72,18,36,54,27,108,162,27,81,81,
108,12,24,6,4,3,27,81,27,45,27,108,27,54,27,108,27,54,18,72,18,54,108,81,9,6,
24,9,24,36,12,6,12,36,6,36,18,24,18,18,3,12,18,27,27,27,27,27,27,54,27,27,27,
27,1,4,8,18,36,18,12,9,18,18,18,36,18,18,6,18,9,18,12,18,3,27,27,4,1,24,12,3,
3,12,6,6,9,18,9,18,9,12,4,3,3,6,6,3,12,3,3,3,1,9,4,4,4,3,3,3,3,1,3,3,1,4,3,1,
1,1,1],[1,81,36,54,16,12,12,54,81,108,9,162,54,243,108,72,36,12,36,36,24,108,
36,12,432,324,324,162,81,81,81,54,72,16,16,18,4,4,54,324,18,108,108,18,54,54,
54,108,18,324,36,36,18,108,216,81,54,12,72,162,12,72,24,72,24,36,144,24,144,4,
24,12,12,24,24,36,36,72,6,648,54,54,54,108,54,54,18,54,54,12,16,12,36,18,72,
36,6,54,9,36,216,36,72,18,108,108,36,18,12,9,108,9,18,12,36,36,1,6,54,36,24,
48,36,12,36,4,8,12,36,4,12,12,9,18,54,18,36,9,9,9,6,18,1,6,2,24,2,2,2,12,12,6,
12,36,6,36,6,12,36,4,9,9,1,6,4,6,6,6,6,6,6,12,2,6,2,4,2,2,1,1,3,6,1,1,1,2,2,
1],[1,81,36,16,12,12,243,162,72,12,36,24,36,12,432,324,324,81,81,81,72,16,16,
18,4,4,108,108,216,81,12,162,12,24,24,36,144,24,144,4,24,12,12,24,24,36,36,
648,12,16,12,36,18,162,72,36,108,36,72,18,36,24,48,36,36,4,8,4,12,12,18,36,18,
18,1,24,12,12,18,1,4,2,3,1,1,1,1],[1,81,16,12,18,72,9,72,9,12,18,9,9,81,81,
432,324,324,81,81,3,18,54,54,54,72,16,6,72,16,27,18,4,18,27,24,54,24,27,6,4,
12,12,72,3,162,27,81,108,36,144,144,108,81,81,36,27,648,24,3,1,3,12,3,12,12,3,
6,6,24,24,6,16,24,6,1,3,6,12,6,6,12,6,6,3,6,12,8,1,6,6,2,1,6,12,2,6,6,6,6,6,6,
8,24,24,12,3,6,6,9,9,36,48,9,36,36,36,36,9,36,36,9,36,27,9,9,9,9,9,6,1,3,3,6,
6,12,8,6,6,3,3,2,6,1,4,3,4,6,6,2,6,1,8,6,12,3,12,12,12,12,1,3,9,9,9,9,9,3,9,2,
1,1,1,2,1,2,1,2,1,1,1,3,1,1,1],[1,81,16,12,18,72,9,72,9,12,18,9,9,81,162,27,
162,81,162,81,54,81,27,81,81,3,18,54,54,54,72,16,6,72,16,27,18,4,18,27,24,54,
24,27,6,4,12,12,72,3,27,18,81,27,18,162,9,54,54,54,9,162,9,54,27,27,54,81,9,
18,54,18,81,81,9,81,81,24,3,1,3,12,3,12,12,3,6,6,24,24,6,16,24,6,1,3,6,12,6,6,
12,6,6,3,6,12,8,1,6,6,2,1,6,12,2,6,6,6,6,6,6,8,24,24,12,3,6,6,27,27,27,54,9,9,
9,9,9,9,18,18,9,18,18,9,18,18,18,9,18,18,9,18,18,9,9,9,9,18,18,27,18,9,18,3,9,
27,9,27,27,27,18,9,18,6,1,3,3,6,6,12,8,6,6,3,3,2,6,1,4,3,4,6,6,2,6,1,8,6,12,3,
12,12,18,9,6,18,3,3,18,9,3,9,3,18,3,6,9,3,6,6,9,3,3,2,1,1,1,2,1,2,1,2,3,6,6,3,
6,3,3,6,3,1,1],[1,81,16,12,18,72,9,72,9,12,18,9,9,81,162,162,27,162,81,81,162,
81,54,81,27,81,162,3,18,54,54,54,72,16,6,72,16,27,18,4,18,27,24,54,24,27,6,4,
12,12,72,3,27,27,18,81,54,27,18,162,9,54,54,54,27,27,54,81,9,162,162,9,81,54,
27,54,27,54,81,54,81,162,54,24,3,1,3,12,3,12,12,3,6,6,24,24,6,16,24,6,1,3,6,
12,6,6,12,6,6,3,6,12,8,1,6,6,2,1,6,12,2,6,6,6,6,6,6,8,24,24,12,3,6,6,27,27,54,
27,54,54,9,54,27,54,27,9,27,54,54,9,54,18,54,54,18,54,9,9,18,27,27,9,54,18,54,
27,9,18,9,18,54,27,9,9,18,18,27,18,18,9,27,9,27,27,27,18,6,1,3,3,6,6,12,8,6,6,
3,3,2,6,1,4,3,4,6,6,2,6,1,8,6,12,3,12,12,9,3,18,18,9,9,18,3,18,9,18,9,18,9,3,
3,18,9,9,9,18,2,1,1,1,2,1,2,1,2,3,1,3,3,3,1,1],[1,81,108,16,12,72,12,9,81,486,
216,36,216,108,108,72,108,36,432,324,324,81,243,72,16,16,18,4,24,4,12,72,162,
324,324,648,81,36,162,36,24,12,72,72,108,36,144,72,144,216,12,72,36,36,72,108,
72,108,36,648,81,12,12,12,24,24,16,12,12,1,8,24,108,54,54,216,108,108,36,108,
216,54,108,36,36,9,36,72,48,12,36,12,36,36,24,24,36,12,24,12,24,24,36,12,12,
36,36,54,54,4,1,8,36,72,18,36,36,9,36,36,12,1,24,12,4,12,9,1,6,1,12,4,1,3,2,1,
1],[1,81,16,12,72,36,12,243,324,432,324,324,81,12,72,72,16,24,16,18,4,108,4,
162,108,36,144,144,324,36,648,81,12,12,12,24,16,12,24,12,24,8,4,24,162,108,48,
36,36,36,36,36,36,36,24,12,8,4,1,1,12,36,9,4,3,4,1,1],[1,81,108,16,12,9,72,12,
81,486,108,216,36,108,216,72,108,36,432,324,324,81,243,72,16,72,16,18,4,24,4,
12,81,162,324,324,648,36,24,108,162,36,216,72,72,36,144,72,12,144,108,12,72,
36,36,72,72,108,36,648,81,24,1,12,16,24,12,12,8,12,24,12,108,54,54,216,108,
108,216,54,108,108,36,9,36,72,48,36,36,12,12,36,36,36,24,12,24,12,12,24,24,36,
12,36,36,36,24,54,54,8,4,1,72,18,36,36,36,36,9,36,12,12,1,24,4,12,9,1,6,1,12,
1,4,3,1,2,1],[1,54,27,16,12,72,36,12,27,27,81,54,108,18,18,18,54,36,54,54,18,
108,81,12,72,72,16,24,16,18,4,108,4,81,54,54,27,27,54,27,27,54,27,18,36,18,36,
36,36,36,36,6,36,18,18,36,24,36,54,36,3,12,108,27,27,81,12,12,12,24,16,12,24,
12,24,8,4,24,9,54,27,27,27,27,18,9,3,18,36,6,12,24,6,24,12,12,6,18,24,12,6,18,
18,12,24,27,9,27,24,12,8,4,1,6,3,6,9,9,18,1,24,4,3,6,12,3,9,4,1,3,1,2,3,4,1,3,
1,1],[1,81,16,12,12,72,36,243,324,432,324,324,81,72,16,16,18,4,72,108,24,4,12,
162,36,144,144,324,36,108,648,81,12,12,12,24,16,4,24,12,8,24,12,24,162,108,48,
36,36,36,36,36,36,36,4,24,12,8,1,1,12,36,9,4,3,4,1,1],[1,81,16,12,9,72,12,243,
432,324,324,81,81,72,16,72,16,18,4,24,4,12,243,162,36,144,144,108,36,648,81,
24,1,12,16,24,12,12,8,12,24,12,162,108,9,48,36,36,36,36,36,36,8,4,1,27,12,1,9,
1,3,1,1,3,1],[1,81,16,12,12,72,36,243,324,432,324,324,81,72,16,16,18,4,72,108,
24,4,12,162,36,144,144,324,36,108,648,81,12,12,12,24,16,4,24,12,8,24,12,24,
162,108,48,36,36,36,36,36,36,36,4,24,12,8,1,1,12,36,9,4,3,4,1,1],[1,81,16,12,
72,12,9,81,432,324,324,81,243,72,16,16,18,4,24,4,12,72,81,162,108,36,144,144,
36,648,81,12,12,12,24,24,16,12,12,1,8,24,54,36,9,36,48,36,36,36,36,54,4,1,8,9,
12,1,9,1,1,1,3,1,1],[1,54,27,16,12,72,36,12,243,27,81,54,108,216,18,18,18,108,
54,36,54,54,18,243,12,72,72,16,24,16,18,4,108,4,81,54,27,27,27,162,162,27,54,
27,18,36,18,36,36,36,36,36,36,216,6,108,36,18,18,36,36,54,36,3,81,81,81,162,
12,12,12,24,16,12,24,12,24,8,4,24,9,27,54,27,27,27,27,18,9,18,36,36,6,24,12,
36,6,12,36,6,18,6,18,18,27,27,27,24,12,8,4,1,3,9,18,9,18,18,1,4,24,3,12,6,9,9,
4,1,3,1,2,3,4,3,6,3,1,1],[1,81,16,12,72,12,9,243,432,324,324,81,81,72,16,16,
18,4,24,4,12,72,243,162,108,36,144,144,36,648,81,12,12,12,24,24,16,12,12,1,8,
24,162,108,9,36,48,36,36,36,36,36,4,1,8,27,12,1,9,1,3,1,1,3,1],[1,81,16,12,
288,12,36,243,432,324,324,324,81,72,16,16,18,4,96,4,48,288,162,432,36,144,144,
36,648,81,12,48,48,96,96,16,12,48,4,32,96,162,108,36,144,48,144,36,144,36,36,
16,1,32,48,1,36,4,3,4,1,1],[1,81,16,12,36,288,12,243,432,324,324,324,81,72,16,
288,16,18,4,96,4,48,162,36,144,144,432,36,648,81,96,4,12,16,96,48,12,32,48,96,
48,162,108,36,48,144,36,144,144,36,36,32,16,1,48,1,36,4,3,4,1,1],[1,81,16,12,
72,36,12,243,324,432,324,324,81,12,72,72,16,24,16,18,4,108,4,162,108,36,144,
144,324,36,648,81,12,12,12,24,16,12,24,12,24,8,4,24,162,108,48,36,36,36,36,36,
36,36,24,12,8,4,1,1,12,36,9,4,3,4,1,1],[1,81,54,16,12,72,36,12,108,243,324,
108,36,36,108,432,324,324,81,12,72,72,16,24,16,18,4,108,4,324,54,108,108,27,
324,54,72,162,108,72,72,36,144,144,324,36,72,6,648,108,81,12,12,12,24,16,12,
24,12,24,8,4,24,54,216,108,108,27,108,36,36,48,36,12,36,36,36,12,36,36,36,54,
27,24,12,8,4,1,36,36,36,4,1,6,12,36,12,4,4,1,2,3,4,3,1,1,1],[1,81,16,12,9,72,
12,81,432,324,324,81,243,72,16,72,16,18,4,24,4,12,81,162,36,144,144,108,36,
648,81,24,1,12,16,24,12,12,8,12,24,12,54,36,9,48,36,36,36,36,36,54,8,4,1,9,12,
1,9,1,1,1,3,1,1],[1,54,27,16,12,12,72,36,81,243,27,54,108,18,18,18,54,36,54,
54,18,108,216,243,72,16,16,18,4,72,108,24,4,12,27,27,27,54,81,162,162,54,27,
27,36,18,36,18,36,36,36,36,36,108,6,36,18,18,36,36,54,36,216,3,81,81,162,81,
12,12,12,24,16,4,24,12,8,24,12,24,27,9,27,27,27,18,27,54,9,18,36,36,6,36,36,
12,6,12,6,18,24,6,18,18,27,27,27,4,24,12,8,1,9,3,1,18,9,18,18,4,12,24,3,6,9,9,
4,3,3,1,2,1,4,3,3,6,1,1],[1,54,27,16,12,12,72,36,81,27,27,54,108,18,18,18,54,
36,54,54,18,108,81,72,16,16,18,4,72,108,24,4,12,27,27,54,27,54,54,81,54,27,27,
18,36,18,36,36,36,36,36,6,36,18,18,36,12,36,24,54,36,3,108,81,27,27,12,12,12,
24,16,4,24,12,8,24,12,24,27,9,27,27,18,27,54,3,9,18,36,12,6,12,12,24,24,24,24,
6,12,12,6,18,6,18,18,9,27,27,4,24,12,8,1,9,6,6,3,1,18,9,12,3,24,6,4,9,3,4,3,3,
1,2,1,4,1,3,1,1],[1,81,54,16,12,12,72,36,108,243,108,36,36,324,108,432,324,
324,81,72,16,16,18,4,72,108,24,4,12,108,27,324,108,54,324,54,72,162,72,72,36,
144,144,324,36,72,6,108,648,81,108,12,12,12,24,16,4,24,12,8,24,12,24,108,36,
27,54,216,108,108,36,48,36,36,12,36,36,36,12,36,36,27,54,4,24,12,8,1,4,36,36,
36,1,12,36,6,12,4,1,3,2,4,4,3,1,1,1],[1,81,54,16,12,12,243,162,18,81,243,108,
36,36,108,432,324,324,243,81,162,243,162,72,16,16,18,4,4,324,36,36,108,108,
324,81,81,81,54,72,162,72,72,36,144,144,36,72,6,648,108,108,12,16,12,81,54,
162,54,18,36,216,108,108,18,108,18,2,36,48,36,12,36,12,36,18,108,36,54,36,18,
1,4,4,36,12,12,36,18,1,6,12,12,1,3,2,2,3,3,3,2,1,2,1,1,1,1],[1,81,162,16,12,
12,243,324,243,324,729,324,108,108,324,432,324,324,729,243,81,81,729,243,729,
72,16,16,18,4,4,324,972,324,324,324,972,729,243,243,162,216,162,216,216,36,
144,144,36,216,18,648,324,324,12,16,12,81,324,108,162,162,162,108,648,324,324,
108,324,108,108,48,36,36,36,36,108,324,162,36,162,162,36,324,1,12,108,108,108,
108,12,162,1,18,36,36,3,3,12,9,12,9,1,9,3,1,3,9,3,3,9,1],[1,81,90,16,12,12,81,
108,81,108,405,180,60,60,180,432,324,324,81,81,162,162,81,162,162,72,16,16,18,
4,4,108,540,108,108,108,540,81,81,81,90,120,162,120,120,36,144,144,36,120,10,
648,108,108,12,16,12,81,108,36,54,54,90,36,360,180,180,36,108,36,60,48,36,20,
36,20,60,72,54,54,18,36,36,72,1,4,60,36,36,60,4,18,1,10,12,12,1,1,4,5,4,2,1,1,
1,2,2,2,1,1,1,1],[1,81,72,54,16,12,12,81,108,243,324,108,243,108,144,36,24,36,
72,48,108,72,24,432,324,324,243,162,81,243,162,162,162,72,16,16,18,4,4,108,
324,108,216,36,324,72,72,36,216,432,81,162,81,162,81,54,24,72,162,24,72,48,72,
48,36,144,48,144,8,48,24,24,48,48,72,36,72,6,648,108,108,12,16,12,81,72,36,
162,54,144,72,12,54,108,72,216,72,144,36,108,108,72,36,24,36,36,24,72,12,36,
48,48,36,12,36,8,16,12,36,8,24,24,36,72,36,54,36,18,36,108,18,36,36,1,12,48,4,
4,24,24,12,24,36,24,36,18,36,1,6,8,12,12,4,3,1,4,4,3,1,2,3,2,2,3,2,1,2,1,1,2,
1],[1,81,72,90,16,12,12,81,108,162,108,18,81,324,108,108,405,180,144,60,24,60,
72,48,180,72,24,432,324,324,81,324,162,81,324,162,108,81,162,162,162,162,108,
72,16,16,18,4,4,108,108,540,36,108,108,108,36,108,108,108,216,36,540,72,72,36,
216,432,81,81,162,162,81,90,24,120,162,24,120,48,120,48,36,144,48,144,8,48,24,
24,48,48,72,36,120,10,648,108,108,108,108,108,108,108,108,36,36,108,108,108,
108,12,16,12,81,108,36,72,36,54,54,144,72,12,90,18,36,72,360,72,144,36,180,
180,72,36,24,18,36,108,18,36,24,36,72,2,12,108,108,60,48,48,36,20,36,8,16,20,
60,8,24,24,36,18,36,72,54,36,72,36,54,18,12,18,18,72,18,36,12,36,36,36,36,36,
1,12,4,48,4,4,4,4,24,24,12,24,60,36,12,36,12,24,60,4,18,18,18,18,18,18,18,1,
10,8,12,12,12,12,12,12,12,12,12,12,4,4,12,12,18,4,1,1,4,4,4,2,2,5,4,12,12,2,4,
2,4,1,2,2,1,1,4,4,2,2,1,1,1,2,2,1],[1,81,72,54,16,12,12,243,108,81,324,108,
243,108,144,36,24,36,72,48,108,72,24,432,324,324,243,162,81,243,162,162,162,
72,16,16,18,4,4,108,324,108,216,36,324,72,72,36,216,432,81,162,162,81,81,54,
24,72,162,24,72,48,72,48,36,144,48,144,8,48,24,24,48,48,72,36,72,6,648,108,
108,12,16,12,81,72,36,54,162,144,72,12,54,36,72,216,72,144,36,108,108,72,36,
24,108,36,24,72,12,36,48,48,36,12,36,8,16,12,36,8,24,24,36,108,72,36,36,54,36,
18,18,36,36,1,12,48,4,4,24,24,12,24,36,24,36,18,36,1,6,8,12,12,4,1,3,4,4,3,3,
2,3,2,1,2,2,2,1,1,1,2,1],[1,81,54,16,12,12,81,162,18,243,243,108,36,36,108,
432,324,324,243,81,243,162,162,72,16,16,18,4,4,324,36,36,108,108,324,81,81,81,
54,72,162,72,72,36,144,144,36,72,6,648,108,108,12,16,12,81,162,54,54,18,108,
216,108,108,18,36,18,2,36,48,36,12,36,12,36,18,54,36,18,36,108,1,4,4,36,12,12,
36,18,1,6,12,12,3,1,2,2,3,1,3,2,2,3,1,1,1,1],[1,81,162,16,12,18,72,9,72,9,12,
18,9,9,729,162,81,324,162,54,324,81,81,162,324,162,108,162,54,432,81,324,324,
81,81,81,81,162,3,18,54,54,54,72,16,6,72,16,27,18,4,18,27,24,54,24,27,6,4,12,
12,72,3,243,243,243,243,486,486,972,27,54,36,162,54,162,54,36,324,27,18,81,
108,108,54,108,36,27,144,27,108,81,18,144,324,162,108,18,81,108,54,54,54,81,
108,162,81,9,18,108,18,162,36,81,162,54,9,27,81,81,648,24,3,1,3,12,3,12,12,3,
6,6,24,24,6,16,24,6,1,3,6,12,6,6,12,6,6,3,6,12,8,1,6,6,2,1,6,12,2,6,6,6,6,6,6,
8,24,24,12,3,6,6,162,81,81,324,162,81,162,162,324,81,81,162,162,81,81,54,54,9,
54,54,9,36,108,54,48,18,54,27,9,54,27,36,18,36,27,36,9,54,54,18,54,18,9,9,18,
18,36,54,9,18,54,36,9,54,18,9,36,18,36,36,27,27,9,36,18,18,54,27,36,54,27,9,
36,18,18,36,9,54,9,9,27,9,18,18,36,36,54,18,9,9,9,36,3,18,18,9,54,18,54,54,54,
36,9,18,6,1,3,3,6,6,12,8,6,6,3,3,2,6,1,4,3,4,6,6,2,6,1,8,6,12,3,12,12,54,108,
27,27,27,27,54,27,27,27,54,54,27,54,54,54,27,54,27,27,12,18,12,18,1,3,6,3,36,
9,3,18,9,9,18,9,6,36,18,3,18,9,18,9,9,9,9,9,3,6,18,9,9,18,3,6,18,18,3,6,6,9,3,
3,3,9,2,1,1,1,2,1,2,1,2,9,18,9,9,9,9,18,9,9,9,9,1,1,3,6,6,6,6,3,1,1,3,6,3,3,6,
3,1,1,3,3,3,3,3,1,1,1,1],[1,81,108,16,12,36,288,12,243,486,216,216,36,108,432,
72,108,36,432,324,324,324,81,243,243,72,16,288,16,18,4,96,4,48,324,324,324,
648,243,36,48,216,162,36,432,72,72,36,144,72,24,144,432,12,72,36,36,72,72,108,
36,648,81,96,4,12,16,96,48,12,32,48,96,48,108,54,162,216,108,108,108,216,54,
216,108,81,36,72,72,48,144,36,24,24,144,144,36,48,12,24,24,24,48,48,72,12,36,
72,36,48,54,36,54,54,32,16,1,72,36,36,72,36,72,72,54,48,24,1,48,8,12,36,4,6,3,
24,18,4,8,1,3,3,4,3,1,1],[1,81,108,16,12,288,12,36,243,486,216,36,432,108,216,
72,108,36,432,324,324,324,243,81,243,72,16,16,18,4,96,4,48,288,324,324,324,
648,243,36,162,36,48,24,72,72,432,36,144,72,144,432,12,72,36,36,72,216,72,108,
36,648,81,12,48,48,96,96,16,12,48,4,32,96,108,54,162,216,108,216,108,216,54,
108,108,81,72,72,36,144,72,48,24,144,24,36,144,48,48,36,24,48,12,24,48,72,24,
12,36,36,54,54,36,54,16,1,32,72,72,36,36,36,72,72,54,48,1,48,24,8,12,36,4,6,3,
24,18,8,4,3,1,3,4,3,1,1],[1,81,108,16,12,72,36,12,243,486,324,216,216,36,108,
108,72,108,36,432,324,324,108,243,81,243,12,72,72,16,24,16,18,4,108,4,324,324,
324,648,243,36,162,36,108,72,72,36,144,36,72,144,216,12,108,72,36,36,324,72,
24,72,108,36,12,108,648,81,12,12,12,24,16,12,24,12,24,8,4,24,108,54,162,216,
108,108,108,216,54,108,108,108,81,72,48,36,36,24,12,36,12,24,36,36,36,12,24,
24,12,36,24,12,36,36,12,36,36,12,24,54,54,36,54,24,12,8,4,1,72,36,36,36,36,36,
36,54,24,1,4,4,24,12,12,12,12,36,9,4,6,3,12,12,9,4,4,4,3,1,3,4,3,1,1],[1,81,
54,16,12,288,12,36,243,81,243,108,36,36,108,432,324,324,324,243,81,243,72,16,
16,18,4,96,4,48,288,324,324,324,81,54,72,162,72,72,432,36,144,144,36,72,6,648,
81,12,48,48,96,96,16,12,48,4,32,96,54,162,54,36,216,108,108,108,81,36,36,144,
48,144,36,12,144,36,12,36,108,36,54,16,1,32,36,36,36,48,1,6,36,4,1,3,3,4,3,3,
1,4,1,1,1],[1,81,108,16,12,12,72,36,243,486,216,36,324,108,72,108,36,432,108,
324,324,108,216,243,81,243,72,16,16,18,4,72,108,24,4,12,324,324,324,648,243,
36,36,162,36,72,72,36,144,72,108,144,12,72,36,36,72,324,12,72,24,108,36,216,
108,108,648,81,12,12,12,24,16,4,24,12,8,24,12,24,108,54,108,162,216,108,108,
216,54,108,108,108,81,72,48,36,36,36,12,12,12,24,24,24,36,36,36,24,12,12,24,
12,36,36,24,36,12,36,36,54,54,36,54,4,24,12,8,1,72,36,36,36,36,36,36,54,1,4,
12,12,24,12,36,24,12,4,9,4,6,3,12,12,9,4,4,4,3,1,3,4,3,1,1],[1,81,54,16,12,36,
288,12,81,243,243,108,36,36,108,432,324,324,324,243,81,243,72,16,288,16,18,4,
96,4,48,324,324,324,81,54,72,162,72,72,36,144,144,432,36,72,6,648,81,96,4,12,
16,96,48,12,32,48,96,48,162,54,54,108,216,108,108,36,81,36,36,48,144,36,12,
144,144,36,12,36,54,36,108,32,16,1,36,36,36,48,1,6,36,4,3,1,3,4,1,3,3,4,1,1,
1],[1,81,108,16,12,72,36,12,243,486,324,216,216,36,108,108,72,108,36,432,324,
324,108,81,243,243,12,72,72,16,24,16,18,4,108,4,324,324,324,648,243,36,162,36,
108,72,72,36,144,36,72,144,216,12,108,72,36,36,324,72,24,72,108,36,12,108,648,
81,12,12,12,24,16,12,24,12,24,8,4,24,108,54,162,216,108,108,108,108,216,54,
108,108,81,72,48,36,36,24,12,36,12,24,36,36,36,12,24,24,12,36,24,12,36,36,12,
36,36,12,24,54,36,54,54,24,12,8,4,1,72,36,36,36,36,36,36,54,24,1,4,4,24,12,12,
12,12,36,9,4,6,3,12,12,9,4,4,4,1,3,3,4,3,1,1],[1,81,108,16,12,72,12,9,243,486,
216,36,216,108,108,72,108,36,432,324,324,81,81,243,243,72,16,16,18,4,24,4,12,
72,162,324,324,648,243,243,36,162,36,24,12,72,72,108,36,144,72,144,216,12,72,
36,36,72,108,72,108,36,648,81,81,81,12,12,12,24,24,16,12,12,1,8,24,108,54,162,
216,108,108,108,108,216,54,108,81,36,36,9,36,72,48,12,36,12,36,36,24,24,36,12,
24,12,24,24,36,12,12,36,36,54,36,54,54,4,1,8,36,72,18,36,36,27,36,36,54,12,1,
24,12,4,12,9,9,9,1,6,3,12,9,4,1,1,3,3,2,3,3,1,1,1,1],[1,81,108,54,16,12,72,36,
12,162,243,108,27,486,162,243,324,108,216,216,36,36,36,108,108,72,108,108,36,
432,324,324,108,486,81,243,243,162,12,72,72,16,24,16,18,4,108,4,162,324,54,54,
108,108,324,54,27,162,162,162,324,54,324,108,108,54,324,648,243,54,36,72,162,
36,108,72,72,72,72,36,144,36,72,144,216,12,108,72,36,36,324,72,24,72,108,36,
72,6,12,108,648,162,162,162,108,81,162,162,27,162,54,162,162,81,12,12,12,24,
16,12,24,12,24,8,4,24,108,54,216,108,108,18,54,27,108,216,108,216,54,108,108,
108,108,54,36,27,27,108,27,54,36,36,108,3,18,162,81,36,72,48,36,36,12,24,12,
36,12,24,36,36,36,12,24,24,12,36,12,36,24,12,36,36,12,36,36,12,24,27,54,54,27,
54,108,27,27,27,27,27,18,54,24,12,8,4,1,18,6,72,6,6,36,6,36,36,36,18,36,36,36,
18,36,18,36,36,36,4,27,27,27,24,1,4,4,24,6,12,12,12,12,36,18,18,18,18,18,18,
12,6,18,4,6,4,6,6,1,2,3,3,3,12,12,18,4,4,4,3,6,3,3,1,3,1,6,6,4,1,3,3,1,1,1,
1],[1,81,108,16,12,12,72,36,243,486,216,36,324,108,72,108,36,432,108,324,324,
108,216,81,243,243,72,16,16,18,4,72,108,24,4,12,324,324,324,648,243,36,36,162,
36,72,72,36,144,72,108,144,12,72,36,36,72,324,12,72,24,108,36,216,108,108,648,
81,12,12,12,24,16,4,24,12,8,24,12,24,108,54,108,162,216,108,108,108,216,54,
108,108,81,72,48,36,36,36,12,12,12,24,24,24,36,36,36,24,12,12,24,12,36,36,24,
36,12,36,36,54,36,54,54,4,24,12,8,1,72,36,36,36,36,36,36,54,1,4,12,12,24,12,
36,24,12,4,9,4,6,3,12,12,9,4,4,4,1,3,3,4,3,1,1],[1,81,108,16,12,9,72,12,243,
486,108,216,36,108,216,72,108,36,432,324,324,81,243,81,243,72,16,72,16,18,4,
24,4,12,243,162,324,324,648,243,36,24,108,162,36,216,72,72,36,144,72,12,144,
108,12,72,36,36,72,72,108,36,648,81,81,81,24,1,12,16,24,12,12,8,12,24,12,108,
54,162,216,108,108,216,54,108,108,108,81,9,36,72,48,36,36,12,12,36,36,36,24,
12,24,12,12,24,24,36,12,36,36,36,24,54,54,36,54,8,4,1,72,18,36,36,36,36,27,36,
54,12,12,1,24,4,12,9,9,9,1,6,3,12,9,1,4,3,1,3,3,2,3,1,1,1,1],[1,81,108,54,16,
12,12,72,36,162,243,27,486,108,162,243,108,216,36,36,36,324,108,72,108,108,36,
432,108,324,324,108,216,486,81,162,243,243,72,16,16,18,4,72,108,24,4,12,108,
162,27,324,54,108,54,324,54,162,162,162,324,54,324,108,108,54,324,648,243,54,
36,36,72,162,36,72,72,72,72,36,144,72,108,144,12,72,36,36,72,324,12,72,24,108,
36,72,216,6,108,108,648,162,162,162,162,81,162,54,81,27,162,108,162,162,12,12,
12,24,16,4,24,12,8,24,12,24,108,36,108,54,108,27,216,108,18,54,27,108,216,108,
216,54,108,108,108,54,108,36,27,27,54,36,108,3,18,81,162,36,72,48,36,36,36,12,
12,12,12,24,24,24,36,36,36,24,12,12,24,12,36,36,12,36,24,36,12,36,36,27,27,
108,54,18,27,27,27,27,54,27,54,54,4,24,12,8,1,18,6,72,6,6,6,4,36,36,36,36,36,
18,36,36,36,18,18,36,36,36,27,27,27,1,4,12,12,24,12,36,6,24,12,4,18,18,18,18,
18,12,18,6,18,4,6,6,6,12,12,3,3,1,3,2,4,18,4,4,4,3,6,3,1,6,3,6,3,1,4,1,3,3,1,
1,1,1],[1,81,72,162,16,12,12,243,108,162,324,18,243,324,324,108,729,324,144,
108,24,108,72,48,324,72,24,432,324,324,729,324,162,243,81,81,324,729,162,108,
243,729,162,162,162,162,108,72,16,16,18,4,4,324,108,972,36,324,324,324,36,108,
108,108,216,36,972,72,72,36,216,432,81,162,729,162,243,162,162,162,162,81,243,
81,81,162,24,216,162,24,216,48,216,48,36,144,48,144,8,48,24,24,48,48,72,36,
216,18,648,108,108,108,108,324,108,108,108,36,36,108,108,324,108,12,16,12,81,
81,81,81,81,81,81,324,108,72,36,162,162,144,72,12,162,18,108,72,648,72,144,36,
324,324,72,36,24,18,108,324,18,36,24,108,72,2,12,108,108,108,48,48,36,36,36,8,
16,36,108,8,24,24,81,36,18,36,324,162,36,72,36,36,162,162,36,12,36,18,18,36,
324,18,36,12,36,36,36,36,36,1,12,4,48,4,4,4,12,24,24,12,24,108,108,12,108,12,
24,108,12,18,18,18,36,36,18,18,162,18,1,18,8,12,12,12,12,12,12,12,36,36,12,4,
4,12,12,18,4,3,3,12,4,4,2,2,9,12,12,12,9,1,4,2,4,9,2,2,3,1,3,2,2,4,4,9,2,3,2,
2,1,1,3,9,1,2,2,1,2,2,1,1,1,1,1,1,1,1],[1,81,16,12,72,288,9,72,36,12,72,36,36,
243,324,324,432,324,324,81,324,81,12,72,216,216,216,72,16,24,72,16,108,18,4,
72,108,96,216,24,108,24,4,12,48,288,12,243,162,108,324,432,36,144,144,108,324,
324,36,108,648,81,81,81,81,24,12,1,12,12,12,48,48,12,24,24,96,96,24,16,24,24,
4,12,24,12,24,24,12,24,24,12,24,48,8,4,24,24,8,4,24,12,8,24,24,24,24,24,24,32,
24,96,12,12,24,24,162,108,9,36,144,48,36,144,36,36,144,36,36,36,36,36,108,36,
36,36,36,36,36,81,24,4,12,12,24,24,48,8,24,24,12,12,8,24,4,4,12,16,24,24,8,24,
1,32,24,48,12,48,48,27,48,12,1,12,36,36,36,36,36,12,36,36,9,9,9,8,4,4,1,8,4,8,
4,8,3,4,1,4,12,4,9,1,4,3,4,1,1,1,1,1],[1,81,16,12,72,72,36,288,36,12,72,36,9,
243,324,324,432,324,324,324,81,81,12,72,216,216,216,72,16,24,288,16,108,18,4,
72,108,24,216,96,108,24,4,48,12,72,12,243,162,108,324,108,36,144,144,432,324,
324,36,108,648,81,81,81,81,96,12,4,12,12,12,12,12,12,24,24,24,24,24,16,96,24,
4,12,24,48,24,24,12,24,24,12,24,12,32,1,24,24,8,4,24,48,8,24,24,24,24,24,24,8,
96,24,48,12,24,24,162,108,36,9,36,48,36,36,144,36,36,36,144,144,36,36,108,36,
36,36,36,36,81,36,24,4,12,12,24,24,48,32,24,24,12,12,8,24,4,16,12,4,24,24,8,
24,1,8,24,48,12,48,48,27,12,48,1,12,36,36,36,36,36,12,36,36,9,9,9,8,4,4,4,8,1,
8,4,8,3,4,4,1,12,4,1,9,4,3,4,1,1,1,1,1],[1,81,162,16,12,288,12,36,243,324,243,
324,729,324,108,108,324,432,324,324,324,729,243,81,81,729,243,729,72,16,16,18,
4,96,4,48,288,324,972,324,324,324,972,972,729,243,243,162,216,162,216,216,432,
36,144,144,36,216,18,648,81,324,324,324,12,48,48,96,96,16,12,48,4,32,96,81,
324,108,162,162,162,108,648,324,324,108,324,108,243,36,108,144,48,144,36,36,
144,36,36,108,324,162,36,162,162,36,324,16,1,32,81,12,108,108,108,108,108,12,
162,48,1,18,36,36,36,36,4,3,3,12,9,12,4,9,1,9,3,1,3,9,12,3,3,9,4,1,1,3,1],[1,
81,54,16,12,288,12,36,243,486,54,81,243,108,36,36,108,432,324,324,324,243,81,
486,243,486,72,16,16,18,4,96,4,48,288,324,108,108,324,324,324,324,81,243,243,
54,72,162,72,72,432,36,144,144,36,72,6,648,81,324,324,324,12,48,48,96,96,16,
12,48,4,32,96,243,54,162,54,54,36,216,108,108,54,108,54,6,81,36,36,144,48,144,
36,12,144,36,12,36,54,108,36,54,108,54,16,1,32,81,12,12,36,36,36,36,36,54,48,
1,6,36,36,36,36,4,1,3,6,6,3,4,3,3,6,1,6,4,1,3,3,4,1,3,1,1],[1,81,216,54,16,12,
288,12,36,243,324,81,972,324,243,108,432,36,72,36,864,216,432,144,108,216,72,
432,324,324,324,243,486,81,243,486,486,486,72,16,16,18,4,96,4,48,288,324,324,
648,324,648,108,324,216,216,108,648,1296,324,243,486,486,243,81,54,72,72,162,
72,96,48,72,144,72,144,432,36,144,144,144,864,24,144,72,72,144,432,144,216,36,
72,6,648,81,324,324,324,12,48,48,96,96,16,12,48,4,32,96,243,216,108,54,162,
432,216,432,36,54,36,216,216,216,432,108,108,108,216,108,72,108,108,72,216,36,
81,162,144,144,36,36,144,144,48,48,144,48,36,12,144,96,96,36,48,96,24,48,12,
36,96,144,48,24,72,72,108,108,216,108,36,54,108,54,54,108,108,16,1,32,81,144,
36,144,12,72,12,72,72,36,72,36,36,144,72,144,36,54,108,48,1,96,48,16,6,24,36,
36,36,36,4,12,1,3,12,48,12,3,36,16,4,3,6,3,6,1,6,6,8,4,6,3,3,1,6,4,1,3,2,1,
1],[1,81,162,16,12,36,288,12,243,324,243,324,729,324,108,108,324,432,324,324,
324,729,243,81,81,729,243,729,72,16,288,16,18,4,96,4,48,324,972,324,324,324,
972,972,729,243,243,162,216,162,216,216,36,144,144,432,36,216,18,648,324,324,
81,324,96,4,12,16,96,48,12,32,48,96,48,81,324,108,162,162,162,108,648,324,324,
108,324,108,243,36,108,48,144,36,36,144,144,36,36,108,324,162,36,162,162,36,
324,32,16,1,81,12,108,108,108,108,108,12,162,48,1,18,36,36,36,36,4,3,3,12,9,
12,4,9,1,9,3,1,3,9,12,3,3,9,4,1,1,3,1],[1,81,162,16,12,12,288,144,243,324,243,
324,729,324,108,108,1296,324,432,324,324,729,243,81,81,729,243,729,72,16,16,
18,4,288,432,96,4,48,324,324,972,324,324,324,648,972,729,243,243,162,216,162,
216,216,36,144,144,1296,36,216,18,432,648,324,324,324,972,324,12,48,48,96,16,
16,96,12,32,96,48,96,81,324,108,162,162,324,162,108,648,324,324,108,324,108,
108,48,144,36,36,36,144,144,36,108,144,324,324,162,36,162,162,36,324,16,96,48,
32,1,81,12,108,108,108,108,12,162,1,48,144,18,36,36,36,36,16,3,3,12,12,9,24,
12,16,9,1,36,9,3,1,3,9,12,3,3,9,4,4,12,1,1],[1,81,54,16,12,36,288,12,81,486,
54,243,243,108,36,36,108,432,324,324,324,243,81,243,486,486,72,16,288,16,18,4,
96,4,48,324,108,108,324,324,324,324,81,243,243,54,72,162,72,72,36,144,144,432,
36,72,6,648,324,324,81,324,96,4,12,16,96,48,12,32,48,96,48,243,162,54,54,54,
108,216,108,108,54,36,54,6,81,36,36,48,144,36,12,144,144,36,12,36,54,54,108,
54,36,108,32,16,1,81,12,12,36,36,36,36,36,54,48,1,6,36,36,36,36,4,3,1,6,6,3,4,
1,3,6,6,3,4,1,3,3,1,4,3,1,1],[1,81,162,16,12,288,144,12,243,324,243,324,729,
1296,324,108,108,324,432,324,324,729,243,81,81,729,243,729,48,288,72,16,96,16,
18,4,432,4,324,972,648,324,324,324,324,972,729,243,243,162,216,162,432,216,
216,36,144,144,1296,36,216,18,648,324,324,324,324,972,48,48,12,96,16,12,96,48,
96,32,16,96,81,324,108,162,162,162,108,648,324,324,324,108,324,108,108,48,36,
36,144,144,36,36,108,144,144,324,162,36,162,162,36,324,324,96,48,32,16,1,81,
12,108,108,108,108,12,162,1,18,48,144,36,36,36,36,16,3,3,12,12,24,9,12,16,9,1,
36,9,3,1,3,9,12,3,3,9,4,4,12,1,1],[1,81,216,54,16,12,36,288,12,81,324,243,972,
324,243,432,108,432,36,72,36,216,864,144,108,216,72,432,324,324,324,243,486,
81,243,486,486,486,72,16,288,16,18,4,96,4,48,324,324,324,648,324,648,108,324,
216,216,108,648,1296,243,486,81,486,243,54,72,72,96,432,162,72,864,72,144,72,
144,36,144,144,48,144,432,24,144,72,72,144,144,216,36,72,6,648,324,324,324,81,
96,4,12,16,96,48,12,32,48,96,48,243,216,108,162,54,432,216,36,54,108,216,216,
216,432,108,108,108,432,216,108,72,36,108,72,216,36,81,162,36,144,36,144,48,
144,36,48,12,48,144,144,36,96,24,48,12,48,48,36,96,96,144,24,72,144,72,96,108,
216,108,54,108,54,36,108,54,108,108,32,16,1,81,36,144,12,12,72,72,72,36,144,
72,36,144,36,144,72,36,54,108,48,48,1,96,16,6,24,36,36,36,36,4,12,3,1,12,12,
48,3,36,4,16,1,6,3,6,6,3,6,4,8,1,6,3,3,6,4,1,3,2,1,1],[1,81,324,16,12,72,288,
9,72,36,12,72,36,36,243,1458,324,324,648,648,108,1296,324,324,324,648,648,216,
324,108,432,324,324,324,81,324,324,324,648,729,81,729,12,72,216,216,216,72,16,
24,72,16,108,18,4,72,108,96,216,24,108,24,4,12,48,288,12,972,972,243,972,486,
972,972,1944,729,108,108,72,324,216,162,108,144,648,108,72,324,216,216,216,
432,36,108,144,108,216,324,36,144,1296,648,108,36,324,216,108,216,108,324,216,
648,324,36,72,216,72,324,36,324,648,216,36,108,324,324,648,81,81,81,243,243,
81,24,12,1,12,12,12,48,48,12,24,24,96,96,24,16,24,24,4,12,24,12,24,24,12,24,
24,12,24,48,8,4,24,24,8,4,24,12,8,24,24,24,24,24,24,32,24,96,12,12,24,24,324,
162,324,162,648,324,324,648,324,648,162,324,324,324,324,108,324,243,243,243,
243,216,216,9,216,108,36,144,216,216,48,72,216,108,36,216,108,144,72,36,108,
36,36,216,216,36,216,72,36,36,72,72,144,216,36,72,216,144,36,216,36,36,144,72,
36,36,108,108,36,36,72,72,216,108,144,216,108,36,72,36,72,72,36,216,36,36,108,
36,36,36,72,144,216,72,36,36,36,72,12,72,72,36,108,36,108,108,108,72,36,72,
162,162,36,81,162,24,4,12,12,24,24,48,8,24,24,12,12,8,24,4,4,12,16,24,24,8,24,
1,32,24,48,12,48,48,216,216,108,108,108,54,108,108,108,108,108,108,108,108,
216,27,108,108,216,108,108,162,81,48,72,12,36,1,12,24,12,72,36,12,72,36,36,72,
36,12,144,72,12,72,36,72,36,36,36,36,36,12,24,72,36,36,72,12,24,36,72,12,24,
24,36,12,12,12,36,27,36,9,9,9,27,8,4,4,1,8,4,8,4,8,18,3,72,36,36,36,36,36,36,
36,36,36,27,27,54,27,4,1,12,24,24,24,24,12,4,4,12,24,12,12,12,12,4,9,9,1,9,4,
12,3,12,12,12,6,9,9,4,4,4,3,1,1,1,1,3,4,3,3,3,3,1,1],[1,81,324,16,12,72,72,36,
288,36,12,72,36,9,243,1458,648,324,648,648,108,648,324,324,324,1296,324,216,
324,108,432,324,324,324,324,81,324,324,648,81,729,729,12,72,216,216,216,72,16,
24,288,16,108,18,4,72,108,24,216,96,108,24,4,48,12,72,12,972,486,972,972,972,
972,1944,243,729,108,108,144,648,216,162,108,72,1296,108,36,324,216,216,216,
108,36,108,144,108,216,324,72,144,648,648,432,36,324,216,108,216,108,324,216,
324,324,36,72,216,72,324,36,324,648,216,36,108,324,324,648,243,81,81,81,81,
243,96,12,4,12,12,12,12,12,12,24,24,24,24,24,16,96,24,4,12,24,48,24,24,12,24,
24,12,24,12,32,1,24,24,8,4,24,48,8,24,24,24,24,24,24,8,96,24,48,12,24,24,324,
162,324,162,648,324,324,324,108,324,648,162,324,648,324,324,324,243,243,243,
243,108,108,36,216,216,9,36,216,216,48,36,216,108,36,216,108,36,36,144,108,36,
36,216,216,72,216,72,36,36,72,72,36,216,36,72,216,72,36,216,72,36,72,72,144,
144,108,108,36,36,72,36,216,108,72,216,108,36,144,36,72,72,36,216,36,36,108,
36,72,72,144,72,108,72,36,36,36,144,12,72,36,36,216,36,108,216,108,144,36,72,
81,162,36,162,162,24,4,12,12,24,24,48,32,24,24,12,12,8,24,4,16,12,4,24,24,8,
24,1,8,24,48,12,48,48,108,216,108,54,108,108,108,108,108,108,216,108,108,27,
216,108,216,108,108,108,108,162,81,12,72,48,72,1,12,24,12,144,36,12,72,36,36,
72,36,24,72,36,12,72,36,72,36,36,36,36,36,12,12,72,36,36,72,12,24,36,72,12,24,
24,36,12,12,12,36,36,27,9,9,9,27,8,4,4,4,8,1,8,4,8,18,3,36,36,36,36,36,72,36,
36,36,36,54,27,27,27,4,4,12,24,24,12,24,12,4,1,12,24,12,12,24,12,4,1,9,9,9,4,
12,12,12,6,3,12,9,9,4,4,4,3,1,1,3,1,1,4,3,3,3,3,1,1],[1,81,216,162,16,12,36,
288,12,243,324,486,324,54,243,972,324,324,729,432,324,432,108,72,108,216,864,
144,324,216,72,432,324,324,324,729,972,486,243,81,81,972,729,486,324,243,729,
486,486,486,486,324,72,16,288,16,18,4,96,4,48,324,324,972,108,324,324,324,108,
972,648,324,324,324,648,108,972,216,216,108,648,1296,243,486,729,486,243,486,
486,486,486,243,243,243,243,162,72,216,96,432,162,72,864,216,144,216,144,36,
144,144,48,144,432,24,144,72,72,144,144,216,36,216,18,648,324,324,324,324,324,
324,324,324,324,324,108,324,108,81,324,324,324,324,96,4,12,16,96,48,12,32,48,
96,48,81,243,243,243,243,243,243,324,108,216,108,162,162,432,216,36,162,54,
108,216,648,216,432,108,324,324,432,216,108,72,54,108,324,54,108,72,108,216,6,
36,324,243,162,324,324,36,144,108,144,48,144,36,48,36,48,144,144,36,96,24,48,
36,48,48,108,96,96,144,24,72,144,72,96,243,108,54,108,324,162,108,216,108,36,
162,162,108,36,108,54,54,36,324,54,108,36,108,108,108,108,108,32,16,1,81,81,
81,36,12,144,12,12,12,12,72,72,72,36,144,72,108,144,108,108,144,36,108,36,72,
108,12,54,54,54,108,108,54,54,162,54,48,48,1,96,16,18,24,81,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,12,12,36,36,4,54,12,3,3,12,12,12,6,48,6,9,12,36,36,36,
36,4,16,9,1,12,6,12,9,6,6,3,1,3,6,6,12,12,9,6,12,8,3,6,6,3,3,3,9,3,6,6,3,6,6,
4,4,1,4,3,1,3,3,3,3,3,2,3,4,3,1,1,1,1],[1,81,216,162,16,12,288,144,12,243,324,
486,324,54,243,972,324,324,729,1296,324,432,864,108,72,108,432,216,144,324,
216,72,432,324,324,432,729,972,486,243,81,81,972,729,486,324,243,729,486,486,
486,486,324,48,288,72,16,96,16,18,4,432,4,324,324,972,648,108,324,324,324,
1296,108,324,324,324,324,648,108,972,216,216,108,648,1296,243,486,729,486,243,
486,486,486,486,243,243,243,243,162,72,216,162,72,432,216,144,216,144,36,144,
144,144,144,864,24,432,144,72,72,1296,144,96,144,216,36,216,18,48,432,648,324,
324,324,324,324,324,648,324,108,324,324,108,324,108,324,324,324,324,972,324,
48,48,12,96,16,12,96,48,96,32,16,96,81,243,243,243,243,243,243,324,108,216,
108,162,162,432,216,432,36,162,54,108,216,648,216,432,108,432,324,324,216,108,
72,324,54,108,324,54,108,72,108,216,6,36,324,324,324,324,324,108,144,48,144,
36,36,96,48,144,48,96,144,36,144,24,96,48,48,144,36,108,96,48,144,144,24,72,
72,48,96,243,108,54,108,324,162,108,108,216,108,36,162,162,108,36,108,54,54,
36,324,108,324,54,108,36,108,108,108,108,108,96,48,32,16,1,81,36,12,144,12,12,
144,12,12,72,144,72,36,72,108,108,144,36,108,36,72,108,144,12,54,54,54,108,
108,108,54,54,162,54,96,1,16,16,96,18,48,24,48,48,144,81,36,36,36,36,36,36,36,
36,36,36,36,12,36,12,36,36,16,54,12,3,3,12,12,12,12,24,6,6,9,12,48,48,36,36,
36,36,16,16,16,12,9,1,24,12,6,12,36,9,6,4,6,3,1,3,6,6,12,12,9,6,16,12,3,6,6,3,
3,3,9,3,6,6,3,12,6,6,4,4,4,4,12,3,1,3,3,3,3,3,4,4,4,3,1,1],[1,81,216,162,16,
12,288,12,36,243,324,486,324,54,243,972,324,324,729,324,432,108,72,108,864,
216,432,144,324,216,72,432,324,324,324,729,972,486,243,81,81,972,729,486,324,
243,729,486,486,486,486,324,72,16,16,18,4,96,4,48,288,324,324,972,108,324,324,
324,108,648,324,324,324,648,108,972,216,216,108,648,1296,972,243,486,729,486,
243,486,486,486,486,243,243,243,243,162,72,216,162,72,96,48,216,144,216,144,
432,36,144,144,144,864,24,144,72,72,144,432,144,216,36,216,18,648,81,324,324,
324,324,324,324,324,324,324,324,108,108,324,324,324,324,324,12,48,48,96,96,16,
12,48,4,32,96,81,243,243,243,243,243,243,324,108,216,108,162,162,432,216,432,
36,162,54,108,216,648,216,432,108,324,324,216,108,72,54,108,324,54,108,72,108,
216,6,36,243,324,162,324,324,144,144,36,108,144,144,48,48,144,48,36,36,144,96,
96,36,48,96,24,48,36,108,96,144,48,24,72,72,243,108,54,108,324,162,108,216,
108,36,162,162,108,36,108,54,54,36,324,54,108,36,108,108,108,108,108,16,1,32,
81,81,81,144,36,12,144,12,12,72,12,12,72,72,36,72,108,108,144,108,36,108,36,
72,144,108,12,54,54,54,108,108,54,54,162,54,48,1,96,48,16,18,24,81,36,36,36,
36,36,36,36,36,36,36,36,36,12,12,36,36,36,36,4,54,12,3,3,12,12,48,12,6,6,9,12,
36,36,36,36,16,4,9,1,12,6,12,9,6,6,3,1,3,6,6,12,12,9,6,8,12,3,6,6,3,3,3,9,3,6,
6,3,6,6,4,4,4,1,3,1,3,3,3,3,3,2,3,4,3,1,1,1,1],[1,81,216,162,16,12,12,288,144,
243,324,486,324,54,243,972,324,324,729,324,432,108,72,108,1296,216,144,324,
216,72,432,432,324,324,432,864,729,972,486,243,81,81,972,729,486,324,243,729,
486,486,486,486,324,72,16,16,18,4,288,432,96,4,48,324,324,324,972,108,324,324,
324,108,1296,648,324,324,324,648,108,972,216,216,108,648,1296,243,486,729,486,
243,486,486,486,486,243,243,243,243,162,144,72,216,162,72,216,144,216,144,36,
144,144,432,144,24,144,72,72,144,1296,48,144,96,216,36,216,864,18,432,432,648,
324,324,324,324,324,324,324,324,324,324,324,108,108,972,108,324,324,324,648,
324,12,48,48,96,16,16,96,12,32,96,48,96,81,243,243,243,243,243,243,324,108,
216,108,432,162,162,324,432,216,36,162,54,108,216,648,216,432,108,324,324,216,
108,432,72,54,108,324,54,108,72,108,216,6,36,324,324,324,324,324,108,144,48,
144,144,36,48,36,48,48,96,96,96,144,144,36,96,48,24,48,48,144,144,36,108,96,
144,24,72,72,243,108,324,54,108,324,162,108,216,108,36,162,162,108,36,108,108,
54,54,36,324,54,108,36,108,108,108,108,108,108,16,96,48,32,1,81,36,12,144,12,
12,12,12,144,72,144,72,144,36,72,108,108,36,108,36,72,144,108,12,54,54,54,108,
108,54,108,54,162,54,1,16,48,48,96,48,144,18,96,24,16,81,36,36,36,36,36,36,36,
36,36,36,36,36,12,12,36,36,16,54,12,3,3,12,12,12,48,48,6,6,12,9,24,12,36,36,
36,36,16,16,16,9,12,1,12,36,4,6,12,9,6,24,6,3,1,3,6,6,12,12,9,6,16,12,12,3,6,
6,3,3,3,9,3,6,6,3,6,6,4,4,4,4,12,3,1,3,3,3,3,3,4,4,4,3,1,1],[1,81,162,16,12,
288,288,36,288,144,12,288,144,36,243,324,243,324,729,1296,324,108,108,1296,
324,432,324,324,324,324,729,243,81,81,729,243,729,48,288,864,864,864,72,16,96,
288,16,432,18,4,288,432,96,864,96,432,96,4,48,48,288,48,324,324,972,648,324,
324,324,972,324,648,972,972,729,243,243,162,216,162,432,1296,216,216,432,36,
144,144,432,1296,1296,36,216,18,432,648,81,324,324,324,324,324,324,972,81,324,
324,972,96,48,4,48,12,48,48,48,48,96,96,96,96,96,16,96,96,16,48,96,48,96,96,
12,96,96,48,96,48,32,4,96,96,32,16,96,48,32,96,96,96,96,96,96,32,96,96,48,48,
96,96,81,324,108,162,162,324,162,108,648,324,324,324,108,324,108,243,243,36,
36,108,144,48,144,144,144,36,36,144,144,144,144,144,36,432,144,144,36,108,144,
144,144,324,324,324,162,36,324,162,162,36,324,324,96,16,48,48,96,96,192,32,96,
96,48,48,32,96,16,16,48,16,96,96,32,96,1,32,96,192,48,192,192,81,81,81,81,12,
108,108,108,108,108,108,12,162,48,48,1,48,144,144,144,144,144,18,48,144,36,36,
36,36,36,36,36,36,36,36,32,16,16,4,32,4,32,16,32,81,3,3,12,12,24,12,9,24,12,
16,4,4,48,16,36,9,1,36,36,36,9,3,1,3,9,16,12,12,12,12,3,3,9,16,4,4,4,4,4,1,1,
4,12,12,1,3,3,4,4,1,1,1,1,1],[1,81,648,162,16,12,288,288,36,288,144,12,288,
144,36,243,972,1458,324,162,243,2916,324,972,729,1296,1296,324,1296,2592,108,
216,108,2592,1296,1296,648,2592,1296,432,324,648,216,432,1296,324,324,324,324,
1296,1296,2592,729,2916,1458,243,81,81,2916,729,1458,972,243,729,1458,1458,
1458,1458,972,48,288,864,864,864,72,16,96,288,16,432,18,4,288,432,96,864,96,
432,96,4,48,48,288,48,324,972,324,972,648,324,324,324,324,3888,324,1944,972,
324,3888,1944,648,972,972,972,1944,324,972,648,648,324,1944,3888,972,729,1458,
729,1458,243,1458,1458,1458,1458,729,243,729,729,162,432,216,216,288,1296,864,
162,216,288,2592,432,144,1296,216,432,216,432,864,432,36,432,144,432,432,1296,
144,144,2592,2592,432,72,1296,432,216,864,216,1296,432,1296,1296,144,288,432,
288,648,36,1296,216,2592,864,18,144,432,1296,1296,648,81,972,972,324,324,972,
972,972,972,324,972,1944,972,324,972,972,972,324,324,324,972,324,324,972,81,
324,972,972,324,324,972,1944,972,972,96,48,4,48,12,48,48,48,48,96,96,96,96,96,
16,96,96,16,48,96,48,96,96,12,96,96,48,96,48,32,4,96,96,32,16,96,48,32,96,96,
96,96,96,96,32,96,96,48,48,96,96,81,729,729,729,729,729,729,324,108,648,324,
1296,162,162,324,1296,648,1296,1296,108,162,162,108,648,648,648,1296,324,1296,
324,324,1296,648,324,1296,216,324,162,108,324,162,324,216,108,648,18,1296,108,
243,972,972,243,486,972,486,972,972,972,972,972,972,972,432,432,36,864,432,36,
108,144,432,864,48,144,864,432,144,864,432,144,144,144,432,36,144,864,864,144,
36,864,288,144,144,288,288,144,864,144,288,864,288,144,864,144,144,288,288,
144,144,432,432,144,36,288,144,864,432,288,864,432,144,288,72,288,144,144,864,
144,144,432,144,36,144,144,108,288,288,432,288,144,144,144,288,48,288,144,144,
432,72,216,432,216,288,144,288,729,324,324,324,162,324,324,162,324,324,648,
324,36,324,162,162,324,108,324,324,162,162,36,324,324,324,162,324,108,324,324,
324,324,324,324,96,16,48,48,96,96,192,32,96,96,48,48,32,96,16,16,48,16,96,96,
32,96,1,32,96,192,48,192,192,243,81,243,243,243,81,81,81,432,108,36,432,36,36,
432,216,36,12,432,216,216,432,432,216,432,108,432,216,108,432,108,432,432,108,
108,432,432,108,108,108,216,432,432,108,432,12,162,162,162,324,324,324,324,
324,162,324,162,162,162,48,288,48,144,1,48,96,48,288,144,48,288,144,144,288,
144,48,288,144,48,288,144,288,144,144,144,144,144,48,48,288,18,144,144,288,48,
96,72,288,48,96,96,144,48,48,48,144,243,243,243,243,108,108,108,108,36,108,36,
108,36,36,108,36,108,108,36,36,108,36,108,36,36,36,36,108,108,108,32,16,16,4,
32,4,32,16,32,81,162,36,3,3,12,36,144,36,144,12,24,144,144,144,18,144,18,12,9,
24,144,144,12,144,144,108,108,108,108,108,108,108,108,108,108,16,4,48,96,96,
48,96,48,16,4,48,96,48,48,48,48,16,81,36,36,9,36,1,72,36,36,36,12,18,36,36,9,
18,12,72,18,3,1,3,18,18,36,36,9,18,16,48,12,12,48,12,48,24,12,24,36,3,18,18,9,
9,3,9,36,9,36,18,18,9,36,18,18,16,16,16,12,4,12,12,4,4,4,12,12,4,1,1,4,12,12,
12,12,12,9,1,9,9,9,9,9,16,6,6,12,3,12,3,12,12,12,12,12,12,9,4,4,1,3,3,1,1,3,1,
3,4,4,3,3,3,3,1,1]],
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6,6,6,6,6,6,6,6,6,6,6,6,6,6,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,9,9,9,9,9,9,9,9,
9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,16,16,16,16,16,16,16,16,16,16,16,
16,16,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,27,27,27,27,27,27,27,27,27,27,27,
27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,
27,27,27,27,27,27,27,27,27,27,27,27,27,27,32,32,32,32,32,32,32,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,48,48,48,48,48,48,48,48,48,48,48,48,48,48,54,54,
54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,
54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,
54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,
54,54,54,54,54,54,54,54,54,54,54,54,54,64,72,72,72,72,72,72,72,72,72,72,72,72,
72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,81,81,81,81,
81,81,81,81,81,81,81,81,81,81,81,81,81,81,81,81,81,81,81,81,81,81,81,81,81,96,
96,96,96,96,96,96,96,108,108,108,108,108,108,108,108,108,108,108,108,108,108,
108,108,108,108,108,108,108,108,108,108,108,108,108,108,108,108,108,108,108,
108,108,108,108,108,144,144,144,144,144,144,144,144,144,144,144,144,144,162,
162,162,162,162,162,162,162,162,162,162,162,162,162,162,162,162,162,162,162,
162,162,162,162,162,162,162,162,162,162,162,162,162,162,162,162,162,162,162,
162,162,162,162,162,162,162,162,192,192,192,192,216,216,216,216,216,216,216,
216,216,216,216,216,216,216,216,216,216,216,216,216,216,216,216,216,216,216,
243,243,243,243,243,243,243,243,243,288,288,324,324,324,324,324,324,324,324,
324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,432,432,432,
432,432,432,432,432,432,432,486,486,486,486,486,486,486,486,486,486,486,486,
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648,648,648,648,648,648,648,648,648,648,648,648,648,648,729,972,972,972,972,
972,972,972,972,972,1296,1296,1296,1296,1296,1296,1296,1296,1296,1296,1296,
1296,1296,1296,1296,1296,1296,1458,1458,1458,1944,1944,1944,1944,1944,1944,
1944,1944,1944,1944,1944,1944,1944,1944,1944,1944,1944,1944,2592,2592,2592,
2592,2592,2592,2592,2916,3888,3888,3888,3888,3888,3888,3888,3888,3888,3888,
3888,3888,5184,5832,5832,7776,7776,7776,7776,7776,7776,7776,7776,11664,11664,
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802,797,782,807,784,805,786,787,788,789,790,791,792,803,804,810,807,807,810,
810,805,810,805,803,804,805,806,807,808,810,810],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,9,1,1,1,7,6,6,12,8,11,1,1,
10,15,5,1,1,12,5,14,6,12,1,1,11,14,13,1,4,2,1,2,2,4,2,1,4,1,2,1,1,2,1,4,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,23,12,19,1,12,6,1,11,1,15,1,
19,14,9,23,1,12,6,6,12,6,12,6,6,12,5,1,2,21,2,16,2,16,21,4,4,2,2,2,1,1,84,6,
12,78,9,73,81,6,93,10,5,92,1,6,6,12,12,74,5,82,80,76,88,5,14,91,79,8,7,5,75,
11,5,12,86,12,12,5,15,6,94,71,5,83,1,90,80,6,13,72,81,70,5,11,14,75,57,6,49,
57,2,28,48,28,4,12,108,99,12,108,41,97,6,58,2,41,9,58,28,23,58,97,4,12,57,6,
19,111,41,15,5,5,1,1,1,1,5,5,5,1,1,5,5,5,1,5,1,5,1,5,5,5,5,1,5,5,5,1,5,1,1,5,
5,5,5,1,5,5,5,5,5,5,5,1,1,5,5,5,5,5,5,2,25,16,25,16,21,21,6,81,75,81,84,81,81,
23,76,75,88,92,81,81,81,90,6,75,82,79,81,70,81,81,91,90,6,94,75,19,1,82,12,81,
12,75,81,12,81,80,81,57,28,97,58,218,222,194,107,41,108,215,123,211,197,256,
234,82,267,275,90,6,76,5,73,242,92,74,88,90,268,80,79,92,79,236,251,94,260,72,
91,81,86,261,94,94,83,83,82,241,70,83,277,93,90,250,91,262,93,71,76,90,84,276,
79,232,83,92,249,5,93,253,254,245,78,75,71,75,94,269,76,70,229,82,81,91,91,12,
78,93,235,71,70,82,76,78,246,265,92,79,248,75,6,264,12,78,70,71,53,157,95,58,
81,188,144,81,315,137,75,144,157,57,81,81,90,188,293,82,81,81,183,103,108,144,
81,188,188,183,97,28,137,144,41,82,5,5,5,79,76,79,5,5,76,76,5,5,79,5,5,79,5,
90,5,5,5,1,5,5,76,5,82,90,218,279,218,194,194,58,279,57,235,81,81,242,232,81,
231,258,251,251,245,230,232,233,254,75,236,81,248,251,251,246,90,264,256,81,
82,275,262,232,81,251,75,234,276,232,229,232,144,188,81,317,301,447,437,315,
137,293,188,144,137,242,71,242,91,491,470,469,242,78,82,479,488,245,471,477,
79,484,93,92,246,265,480,490,90,94,495,76,251,483,486,261,81,472,262,83,246,
478,75,493,485,487,482,70,246,242,246,232,499,327,504,330,251,188,230,410,456,
232,446,232,446,157,251,446,346,410,232,251,343,456,367,410,456,367,183,367,
258,188,79,5,79,82,82,90,76,76,90,279,299,491,491,491,232,232,486,251,485,543,
543,470,480,495,81,484,491,515,491,515,471,472,251,479,483,367,532,619,614,
612,628,410,528,616,625,491,491,246,487,469,486,482,479,635,491,485,478,483,
242,484,470,491,643,653,446,561,661,561,654,456,588,515,661,561,367,543,491,
491,653,663,491,491,561,491,491,491,588,410,561,561,242,641,543,491,636,515,
635,639,491,637,661,561,647,646,561,561,561,561,703,491,698,588,647,561,653,
588,646,491,724,635,688,701,680,653,716,561,701,639,726,561,716,701,716,648,
637,729,661,666,647,561,662,646,662,647,646,724,765,764,766,716,758,701,755,
732,726,760,727,729,710,716,701,716,764,764,701,773,765,773,765,793,794,785,
801,783,799,773,809],
[( 1,23)( 2,18)( 3,36)( 4, 8)( 5,29)( 6,17)( 7,15)( 9,10)(11,32)(12,37)(13,35)
(14,21)(16,31)(19,39)(20,27)(22,24)(25,28)(26,33)(30,38)(34,40),( 1,40,26)
( 3,32, 5,34,14,38)( 4,16,37,27, 7,33)( 6,13,20,31,11,30)( 8,29)
( 9,23,24,35,39,17)(10,21)(15,22)(18,28),( 1,34,10,31,33,15)( 2,18,28)
( 3,24, 5, 9,14,39)( 6,35, 8,20,17,19)( 7,37)(11,23,29)(12,30,16,22,40,32)
(13,27,36,26,38,21),( 1, 6,13)( 3,22,34)( 4, 8,27)( 5,15,32)( 7,19,33)
( 9,21,35)(10,23,24)(11,30,40)(12,17,39)(14,36,38)(16,37,29)(20,31,26)],
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29,40,45,46,49,52,62,112,121,123,130,131,210],[1,2,3,6,10,15,16,21,40,45,53,
82,112,120,122,211],[1,2,4,7,8,9,12,23,34,38,41,43,47,48,51,71,113,117,124,
128,132,212],[1,2,5,7,8,9,14,23,30,32,41,44,47,48,50,67,116,117,118,125,127,
213],[1,2,4,5,9,12,14,21,41,43,50,95,113,118,119,214],[1,2,4,5,9,12,14,21,41,
44,51,95,116,119,124,215],[1,2,3,4,5,6,7,8,11,12,13,14,15,16,21,22,23,24,30,
31,32,34,35,36,38,54,55,56,59,60,63,64,65,66,67,71,72,73,83,95,101,133,136,
137,139,146,158,159,216],[1,2,3,4,5,6,7,8,11,12,14,15,16,17,19,21,23,24,25,26,
29,31,35,36,37,54,55,57,58,61,62,63,64,66,69,70,72,73,82,96,97,134,135,138,
140,151,158,162,217],[1,2,3,4,7,8,12,13,15,17,18,19,20,22,23,24,25,29,33,34,
36,38,56,57,58,59,62,63,68,71,74,76,78,79,80,83,84,88,89,90,91,92,97,99,100,
135,136,144,148,152,154,165,168,170,172,173,218],[1,2,3,4,5,7,8,12,14,15,17,
19,21,23,24,25,27,28,29,30,32,36,57,58,62,63,65,66,67,75,77,87,95,97,98,103,
135,142,147,155,156,157,159,219],[1,2,3,4,5,6,7,8,12,14,15,16,18,20,21,23,25,
27,29,31,34,35,38,62,65,66,69,71,72,73,74,77,82,84,90,93,94,95,139,140,149,
150,152,157,167,220],[1,2,3,5,6,7,8,13,14,15,16,21,22,23,25,28,29,30,31,32,33,
35,56,60,62,66,67,69,72,75,79,82,92,100,101,103,133,140,142,143,144,160,163,
221],[1,2,4,5,7,8,11,12,14,17,19,21,23,27,30,32,33,34,38,54,57,64,67,69,71,77,
79,87,88,95,98,99,134,143,146,150,156,165,166,222],[1,2,3,4,6,7,8,12,13,15,16,
21,22,23,24,26,27,28,34,36,37,38,56,59,63,69,70,71,73,75,77,81,82,83,85,104,
136,141,147,150,160,161,162,223],[1,2,3,6,7,8,11,13,15,16,21,22,23,25,26,27,
29,33,37,55,56,62,64,65,70,77,79,81,82,85,92,100,137,141,144,151,153,157,166,
224],[1,2,3,4,5,6,7,8,11,12,14,15,16,18,20,21,23,24,27,28,31,33,35,36,54,55,
63,64,66,72,73,74,75,77,79,89,91,93,94,147,148,149,158,163,164,166,225],[1,2,
3,4,5,6,7,8,12,14,15,16,18,20,21,23,24,26,30,32,33,36,37,63,65,66,67,69,70,73,
74,79,82,86,89,91,95,102,143,145,148,153,159,162,167,226],[1,2,5,6,7,8,13,14,
16,17,18,19,20,22,23,26,27,30,31,32,35,37,56,57,60,61,67,68,70,72,74,76,77,78,
80,81,85,86,87,93,94,96,98,101,102,133,138,141,145,149,154,156,169,171,174,
175,227],[1,2,4,5,6,7,8,12,14,16,17,19,21,23,26,28,31,33,34,35,37,38,57,61,65,
70,71,72,73,75,79,88,95,96,99,104,138,139,153,155,161,163,165,228],[1,2,3,4,5,
6,7,8,11,12,14,15,16,18,20,21,23,25,26,28,29,30,32,34,37,38,54,55,62,64,67,70,
71,74,75,82,84,86,90,95,102,103,104,142,145,146,151,152,161,164,229],[1,2,7,8,
11,13,17,18,19,20,21,22,23,28,56,57,64,65,68,69,74,75,76,78,80,134,137,154,
155,160,164,167,230],[1,2,7,8,9,10,23,40,41,46,47,48,49,105,117,121,176,177,
178,231],[1,2,9,10,21,40,41,105,119,122,177,232],[1,7,9,10,28,47,49,105,178,
233],[1,8,9,10,18,46,48,105,176,234],[1,2,9,10,11,40,41,105,111,114,177,235],[
1,8,9,10,20,46,48,105,176,236],[1,7,9,10,28,47,49,105,178,237],[1,2,4,9,10,12,
40,41,43,51,105,113,124,177,180,238],[1,3,7,9,10,29,45,47,49,52,105,130,178,
179,239],[1,4,8,9,10,38,43,46,48,51,105,132,176,180,240],[1,2,6,9,10,16,40,41,
42,53,105,115,120,177,182,241],[1,5,7,9,10,30,44,47,49,50,105,127,178,181,
242],[1,5,8,9,10,32,44,46,48,50,105,125,176,181,243],[1,2,5,9,10,14,40,41,44,
50,105,116,118,177,181,244],[1,3,8,9,10,25,45,46,48,52,105,131,176,179,245],[
1,6,8,9,10,26,42,46,48,53,105,126,176,182,246],[1,4,7,9,10,34,43,47,49,51,105,
128,178,180,247],[1,2,3,9,10,15,40,41,45,52,105,112,123,177,179,248],[1,6,7,9,
10,37,42,47,49,53,105,129,178,182,249],[1,2,7,8,23,27,39,77,106,107,108,183,
187,250],[1,2,7,8,11,21,23,39,64,106,107,108,183,184,185,251],[1,2,7,8,23,33,
39,79,106,107,108,183,186,252],[1,2,3,4,7,8,9,12,15,17,19,23,24,25,29,36,41,
51,57,58,62,63,97,110,124,135,188,198,253],[1,2,5,6,7,8,9,14,16,17,19,23,26,
31,35,37,41,50,57,61,70,72,96,110,118,138,188,197,254],[1,2,7,8,9,13,17,18,19,
20,22,23,41,47,48,56,57,68,74,76,78,80,110,117,154,188,190,192,255],[1,2,7,8,
9,17,19,21,23,28,41,57,65,75,110,119,155,188,256],[1,2,3,7,8,10,13,15,22,23,
25,29,33,40,45,56,62,79,92,100,109,112,144,189,202,257],[1,2,3,4,7,8,10,12,13,
15,22,23,24,34,36,38,40,52,56,59,63,71,83,109,123,136,189,203,258],[1,2,5,6,7,
8,10,13,14,16,22,23,30,31,32,35,40,53,56,60,67,72,101,109,120,133,189,199,
259],[1,2,7,8,10,11,13,21,22,23,40,56,64,65,109,114,137,189,260],[1,2,6,7,8,
10,13,16,22,23,26,27,37,40,42,56,70,77,81,85,109,115,141,189,200,261],[1,2,5,
7,8,9,14,17,19,23,27,30,32,41,44,57,67,77,87,98,110,116,156,188,201,262],[1,2,
7,8,9,11,17,19,21,23,41,57,64,69,110,111,134,188,263],[1,2,7,8,10,13,21,22,23,
28,40,56,69,75,109,122,160,189,264],[1,2,4,7,8,9,12,17,19,23,33,34,38,41,43,
57,71,79,88,99,110,113,165,188,196,265],[1,2,7,8,10,13,17,18,19,20,22,23,40,
46,49,56,57,68,74,76,78,80,109,121,154,189,191,193,266],[1,3,4,8,9,13,17,20,
25,33,36,38,43,48,51,58,59,78,90,91,92,99,110,132,173,192,196,198,267],[1,3,4,
7,8,9,17,18,22,24,25,33,34,36,38,43,47,51,58,76,83,84,89,99,100,110,128,170,
190,196,198,268],[1,5,6,7,8,10,13,18,19,26,27,31,32,35,37,42,49,53,60,68,81,
86,87,93,96,109,129,175,193,199,200,269],[1,3,4,7,8,10,13,18,19,24,25,29,33,
36,38,45,49,52,59,68,84,88,89,92,97,109,130,172,193,202,203,270],[1,3,4,8,10,
13,17,20,25,33,36,38,45,46,52,58,59,78,90,91,92,99,109,131,173,191,202,203,
271],[1,5,6,8,9,13,17,20,26,27,32,35,44,48,50,60,61,78,81,94,98,102,110,125,
174,192,197,201,272],[1,5,6,8,10,13,17,20,26,27,32,35,42,46,53,60,61,78,81,94,
98,102,109,126,174,191,199,200,273],[1,5,6,7,8,9,17,18,22,26,27,30,31,32,35,
44,47,50,61,76,85,86,93,98,101,110,127,171,190,197,201,274],[1,2,4,5,7,8,9,11,
12,14,21,23,30,32,34,38,41,43,44,47,48,50,51,54,64,67,71,95,111,113,116,117,
118,119,124,125,127,128,132,146,194,206,209,212,213,214,215,275],[1,2,3,6,7,8,
10,11,15,16,21,23,25,26,29,37,40,42,45,46,49,52,53,55,62,64,70,82,112,114,115,
120,121,122,123,126,129,130,131,151,195,204,205,207,208,210,211,276],[1,8,9,
17,39,48,106,110,277],[1,8,10,13,39,46,106,109,278],[1,2,3,4,5,6,7,8,11,12,13,
14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,54,
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,
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,
171,172,173,174,175,216,217,218,219,220,221,222,223,224,225,226,227,228,229,
230,279],[1,2,3,7,8,9,10,15,23,25,29,40,41,45,46,47,48,49,52,62,105,112,117,
121,123,130,131,176,177,178,179,210,231,239,245,248,280],[1,2,4,7,8,9,10,12,
23,34,38,40,41,43,46,47,48,49,51,71,105,113,117,121,124,128,132,176,177,178,
180,212,231,238,240,247,281],[1,2,7,8,9,10,11,21,23,40,41,46,47,48,49,64,105,
111,114,117,119,121,122,176,177,178,205,209,231,232,235,282],[1,2,7,8,9,10,18,
20,23,40,41,46,47,48,49,74,105,117,121,176,177,178,231,234,236,283],[1,2,7,8,
9,10,23,28,40,41,46,47,48,49,75,105,117,121,176,177,178,231,233,237,284],[1,2,
6,7,8,9,10,16,23,26,37,40,41,42,46,47,48,49,53,70,105,115,117,120,121,126,129,
176,177,178,182,204,231,241,246,249,285],[1,2,5,7,8,9,10,14,23,30,32,40,41,44,
46,47,48,49,50,67,105,116,117,118,121,125,127,176,177,178,181,213,231,242,243,
244,286],[1,2,3,6,9,10,11,15,16,40,41,42,45,52,53,55,105,111,112,114,115,120,
123,177,179,182,195,207,235,241,248,287],[1,3,4,8,9,10,20,25,38,43,45,46,48,
51,52,90,105,131,132,176,179,180,236,240,245,288],[1,3,5,7,9,10,28,29,30,44,
45,47,49,50,52,103,105,127,130,178,179,181,237,239,242,289],[1,2,4,5,9,10,12,
14,21,40,41,43,44,50,51,95,105,113,116,118,119,122,124,177,180,181,214,215,
232,238,244,290],[1,3,5,7,9,10,28,29,30,44,45,47,49,50,52,103,105,127,130,178,
179,181,233,239,242,291],[1,4,6,7,9,10,28,34,37,42,43,47,49,51,53,104,105,128,
129,178,180,182,233,247,249,292],[1,4,6,7,9,10,28,34,37,42,43,47,49,51,53,104,
105,128,129,178,180,182,237,247,249,293],[1,3,4,8,9,10,18,25,38,43,45,46,48,
51,52,84,105,131,132,176,179,180,234,240,245,294],[1,2,4,5,9,10,11,12,14,40,
41,43,44,50,51,54,105,111,113,114,116,118,124,177,180,181,194,206,235,238,244,
295],[1,2,3,6,9,10,15,16,21,40,41,42,45,52,53,82,105,112,115,119,120,122,123,
177,179,182,208,211,232,241,248,296],[1,5,6,8,9,10,18,26,32,42,44,46,48,50,53,
86,105,125,126,176,181,182,234,243,246,297],[1,5,6,8,9,10,20,26,32,42,44,46,
48,50,53,102,105,125,126,176,181,182,236,243,246,298],[1,2,7,8,11,21,23,27,33,
39,64,77,79,106,107,108,166,183,184,185,186,187,250,251,252,299],[1,2,5,6,7,8,
9,13,14,16,17,18,19,20,22,23,26,27,30,31,32,35,37,41,44,47,48,50,56,57,60,61,
67,68,70,72,74,76,77,78,80,81,85,86,87,93,94,96,98,101,102,110,116,117,118,
125,127,133,138,141,145,149,154,156,169,171,174,175,188,190,192,197,201,213,
227,254,255,262,272,274,300],[1,2,4,5,6,7,8,9,12,14,16,17,19,21,23,26,28,31,
33,34,35,37,38,41,43,50,57,61,65,70,71,72,73,75,79,88,95,96,99,104,110,113,
118,119,138,139,153,155,161,163,165,188,196,197,214,228,254,256,265,301],[1,2,
4,5,7,8,9,11,12,14,17,19,21,23,27,30,32,33,34,38,41,43,44,54,57,64,67,69,71,
77,79,87,88,95,98,99,110,111,113,116,134,143,146,150,156,165,166,188,194,196,
201,222,262,263,265,302],[1,2,3,5,6,7,8,10,13,14,15,16,21,22,23,25,28,29,30,
31,32,33,35,40,45,53,56,60,62,66,67,69,72,75,79,82,92,100,101,103,109,112,120,
122,133,140,142,143,144,160,163,189,199,202,211,221,257,259,264,303],[1,2,5,6,
7,8,10,13,14,16,17,18,19,20,22,23,26,27,30,31,32,35,37,40,42,46,49,53,56,57,
60,61,67,68,70,72,74,76,77,78,80,81,85,86,87,93,94,96,98,101,102,109,115,120,
121,126,129,133,138,141,145,149,154,156,169,171,174,175,189,191,193,199,200,
204,227,259,261,266,269,273,304],[1,2,7,8,9,11,13,17,18,19,20,21,22,23,28,41,
47,48,56,57,64,65,68,69,74,75,76,78,80,110,111,117,119,134,137,154,155,160,
164,167,188,190,192,209,230,255,256,263,305],[1,2,3,4,5,6,7,8,9,11,12,14,15,
16,17,19,21,23,24,25,26,29,31,35,36,37,41,50,51,54,55,57,58,61,62,63,64,66,69,
70,72,73,82,96,97,110,111,118,124,134,135,138,140,151,158,162,188,197,198,206,
217,253,254,263,306],[1,2,3,4,7,8,9,12,13,15,17,18,19,20,22,23,24,25,29,33,34,
36,38,41,43,47,48,51,56,57,58,59,62,63,68,71,74,76,78,79,80,83,84,88,89,90,91,
92,97,99,100,110,113,117,124,128,132,135,136,144,148,152,154,165,168,170,172,
173,188,190,192,196,198,212,218,253,255,265,267,268,307],[1,2,3,4,5,7,8,9,12,
14,15,17,19,21,23,24,25,27,28,29,30,32,36,41,44,51,57,58,62,63,65,66,67,75,77,
87,95,97,98,103,110,116,119,124,135,142,147,155,156,157,159,188,198,201,215,
219,253,256,262,308],[1,2,3,4,7,8,10,12,13,15,17,18,19,20,22,23,24,25,29,33,
34,36,38,40,45,46,49,52,56,57,58,59,62,63,68,71,74,76,78,79,80,83,84,88,89,90,
91,92,97,99,100,109,112,121,123,130,131,135,136,144,148,152,154,165,168,170,
172,173,189,191,193,202,203,210,218,257,258,266,270,271,309],[1,2,3,4,6,7,8,
10,12,13,15,16,21,22,23,24,26,27,28,34,36,37,38,40,42,52,56,59,63,69,70,71,73,
75,77,81,82,83,85,104,109,115,122,123,136,141,147,150,160,161,162,189,200,203,
208,223,258,261,264,310],[1,2,3,4,5,6,7,8,10,11,12,13,14,15,16,21,22,23,24,30,
31,32,34,35,36,38,40,52,53,54,55,56,59,60,63,64,65,66,67,71,72,73,83,95,101,
109,114,120,123,133,136,137,139,146,158,159,189,199,203,207,216,258,259,260,
311],[1,2,3,6,7,8,10,11,13,15,16,21,22,23,25,26,27,29,33,37,40,42,45,55,56,62,
64,65,70,77,79,81,82,85,92,100,109,112,114,115,137,141,144,151,153,157,166,
189,195,200,202,224,257,260,261,312],[1,2,7,8,10,11,13,17,18,19,20,21,22,23,
28,40,46,49,56,57,64,65,68,69,74,75,76,78,80,109,114,121,122,134,137,154,155,
160,164,167,189,191,193,205,230,260,264,266,313],[1,2,7,8,10,13,22,23,39,40,
46,49,56,106,107,108,109,121,183,189,278,314],[1,2,7,8,9,17,19,23,39,41,47,48,
57,106,107,108,110,117,183,188,277,315],[1,5,8,9,17,27,32,39,44,48,50,98,106,
110,125,187,201,277,316],[1,6,8,10,13,26,27,39,42,46,53,81,106,109,126,187,
200,278,317],[1,4,8,9,17,33,38,39,43,48,51,99,106,110,132,186,196,277,318],[1,
3,8,10,13,25,33,39,45,46,52,92,106,109,131,186,202,278,319],[1,2,3,5,7,8,9,10,
14,15,23,25,28,29,30,32,40,41,44,45,46,47,48,49,50,52,62,67,75,103,105,112,
116,117,118,121,123,125,127,130,131,142,176,177,178,179,181,210,213,231,233,
237,239,242,243,244,245,248,280,284,286,289,291,320],[1,2,3,6,7,8,9,10,11,15,
16,21,23,25,26,29,37,40,41,42,45,46,47,48,49,52,53,55,62,64,70,82,105,111,112,
114,115,117,119,120,121,122,123,126,129,130,131,151,176,177,178,179,182,195,
204,205,207,208,209,210,211,231,232,235,239,241,245,246,248,249,276,280,282,
285,287,296,321],[1,2,3,4,7,8,9,10,12,15,18,20,23,25,29,34,38,40,41,43,45,46,
47,48,49,51,52,62,71,74,84,90,105,112,113,117,121,123,124,128,130,131,132,152,
176,177,178,179,180,210,212,231,234,236,238,239,240,245,247,248,280,281,283,
288,294,322],[1,2,5,6,7,8,9,10,14,16,18,20,23,26,30,32,37,40,41,42,44,46,47,
48,49,50,53,67,70,74,86,102,105,115,116,117,118,120,121,125,126,127,129,145,
176,177,178,181,182,204,213,231,234,236,241,242,243,244,246,249,283,285,286,
297,298,323],[1,2,4,5,7,8,9,10,11,12,14,21,23,30,32,34,38,40,41,43,44,46,47,
48,49,50,51,54,64,67,71,95,105,111,113,114,116,117,118,119,121,122,124,125,
127,128,132,146,176,177,178,180,181,194,205,206,209,212,213,214,215,231,232,
235,238,240,242,243,244,247,275,281,282,286,290,295,324],[1,2,4,6,7,8,9,10,12,
16,23,26,28,34,37,38,40,41,42,43,46,47,48,49,51,53,70,71,75,104,105,113,115,
117,120,121,124,126,128,129,132,161,176,177,178,180,182,204,212,231,233,237,
238,240,241,246,247,249,281,284,285,292,293,325],[1,2,7,8,9,10,11,18,20,21,23,
28,40,41,46,47,48,49,64,74,75,105,111,114,117,119,121,122,164,176,177,178,205,
209,231,232,233,234,235,236,237,282,283,284,326],[1,2,3,4,5,6,7,8,10,11,12,13,
14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,40,
42,45,46,49,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,
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,
100,101,102,103,104,109,112,114,115,120,121,122,123,126,129,130,131,133,134,
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,
173,174,175,189,191,193,195,199,200,202,203,204,205,207,208,210,211,216,217,
218,219,220,221,222,223,224,225,226,227,228,229,230,257,258,259,260,261,264,
266,269,270,271,273,276,279,303,304,309,310,311,312,313,327],[1,2,3,4,5,6,7,8,
9,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,
36,37,38,41,43,44,47,48,50,51,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,
70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,
96,97,98,99,100,101,102,103,104,110,111,113,116,117,118,119,124,125,127,128,
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,
170,171,172,173,174,175,188,190,192,194,196,197,198,201,206,209,212,213,214,
215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,253,254,255,
256,262,263,265,267,268,272,274,275,279,300,301,302,305,306,307,308,328],[1,2,
4,7,8,9,12,17,19,23,33,34,38,39,41,43,47,48,51,57,71,79,88,99,106,107,108,110,
113,117,124,128,132,165,183,186,188,196,212,252,265,277,315,318,329],[1,2,7,8,
9,11,17,19,21,23,39,41,47,48,57,64,69,106,107,108,110,111,117,119,134,183,184,
185,188,209,251,263,277,315,330],[1,2,5,7,8,9,14,17,19,23,27,30,32,39,41,44,
47,48,50,57,67,77,87,98,106,107,108,110,116,117,118,125,127,156,183,187,188,
201,213,250,262,277,315,316,331],[1,2,7,8,10,11,13,21,22,23,39,40,46,49,56,64,
65,106,107,108,109,114,121,122,137,183,184,185,189,205,251,260,278,314,332],[
1,2,3,7,8,10,13,15,22,23,25,29,33,39,40,45,46,49,52,56,62,79,92,100,106,107,
108,109,112,121,123,130,131,144,183,186,189,202,210,252,257,278,314,319,333],[
1,2,6,7,8,10,13,16,22,23,26,27,37,39,40,42,46,49,53,56,70,77,81,85,106,107,
108,109,115,120,121,126,129,141,183,187,189,200,204,250,261,278,314,317,334],[
1,2,3,4,5,6,7,8,9,10,11,12,14,15,16,18,20,21,23,25,26,28,29,30,32,34,37,38,40,
41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,62,64,67,70,71,74,75,82,84,86,90,
95,102,103,104,105,111,112,113,114,115,116,117,118,119,120,121,122,123,124,
125,126,127,128,129,130,131,132,142,145,146,151,152,161,164,176,177,178,179,
180,181,182,194,195,204,205,206,207,208,209,210,211,212,213,214,215,229,231,
232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,275,
276,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,
298,320,321,322,323,324,325,326,335],[1,8,9,10,13,17,20,39,46,48,78,105,106,
109,110,176,191,192,236,277,278,336],[1,2,4,5,7,8,9,11,12,14,17,19,21,23,27,
30,32,33,34,38,39,41,43,44,47,48,50,51,54,57,64,67,69,71,77,79,87,88,95,98,99,
106,107,108,110,111,113,116,117,118,119,124,125,127,128,132,134,143,146,150,
156,165,166,183,184,185,186,187,188,194,196,201,206,209,212,213,214,215,222,
250,251,252,262,263,265,275,277,299,302,315,316,318,329,330,331,337],[1,2,3,6,
7,8,10,11,13,15,16,21,22,23,25,26,27,29,33,37,39,40,42,45,46,49,52,53,55,56,
62,64,65,70,77,79,81,82,85,92,100,106,107,108,109,112,114,115,120,121,122,123,
126,129,130,131,137,141,144,151,153,157,166,183,184,185,186,187,189,195,200,
202,204,205,207,208,210,211,224,250,251,252,257,260,261,276,278,299,312,314,
317,319,332,333,334,338],[1,2,7,8,9,10,13,17,18,19,20,22,23,39,40,41,46,47,48,
49,56,57,68,74,76,78,80,105,106,107,108,109,110,117,121,154,176,177,178,183,
188,189,190,191,192,193,231,234,236,255,266,277,278,283,314,315,336,339],[1,3,
4,8,9,10,13,17,20,25,33,36,38,39,43,45,46,48,51,52,58,59,78,90,91,92,99,105,
106,109,110,131,132,173,176,179,180,186,191,192,196,198,202,203,236,240,245,
267,271,277,278,288,318,319,336,340],[1,5,6,8,9,10,13,17,20,26,27,32,35,39,42,
44,46,48,50,53,60,61,78,81,94,98,102,105,106,109,110,125,126,174,176,181,182,
187,191,192,197,199,200,201,236,243,246,272,273,277,278,298,316,317,336,341],[
1,2,3,4,7,8,9,10,12,13,15,17,18,19,20,22,23,24,25,29,33,34,36,38,39,40,41,43,
45,46,47,48,49,51,52,56,57,58,59,62,63,68,71,74,76,78,79,80,83,84,88,89,90,91,
92,97,99,100,105,106,107,108,109,110,112,113,117,121,123,124,128,130,131,132,
135,136,144,148,152,154,165,168,170,172,173,176,177,178,179,180,183,186,188,
189,190,191,192,193,196,198,202,203,210,212,218,231,234,236,238,239,240,245,
247,248,252,253,255,257,258,265,266,267,268,270,271,277,278,280,281,283,288,
294,307,309,314,315,318,319,322,329,333,336,339,340,342],[1,2,5,6,7,8,9,10,13,
14,16,17,18,19,20,22,23,26,27,30,31,32,35,37,39,40,41,42,44,46,47,48,49,50,53,
56,57,60,61,67,68,70,72,74,76,77,78,80,81,85,86,87,93,94,96,98,101,102,105,
106,107,108,109,110,115,116,117,118,120,121,125,126,127,129,133,138,141,145,
149,154,156,169,171,174,175,176,177,178,181,182,183,187,188,189,190,191,192,
193,197,199,200,201,204,213,227,231,234,236,241,242,243,244,246,249,250,254,
255,259,261,262,266,269,272,273,274,277,278,283,285,286,297,298,300,304,314,
315,316,317,323,331,334,336,339,341,343],[1,2,7,8,9,10,11,13,17,18,19,20,21,
22,23,28,39,40,41,46,47,48,49,56,57,64,65,68,69,74,75,76,78,80,105,106,107,
108,109,110,111,114,117,119,121,122,134,137,154,155,160,164,167,176,177,178,
183,184,185,188,189,190,191,192,193,205,209,230,231,232,233,234,235,236,237,
251,255,256,260,263,264,266,277,278,282,283,284,305,313,314,315,326,330,332,
336,339,344],[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]],
0,[[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],[1,3,1],[1,1,2,1],[1,1,2,1],[1,1,2,1],[1,3,1],[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],[1,2,1,1],[1,2,1,1],[1,1,1],[1,1,1],[1,
2,1,1],[1,2,1,1],[1,1,1,1,1],[1,2,1,1],[1,1,1],[1,2,1,1],[1,1,1,1,1],[1,1,1,1,
1],[1,2,1,1],[1,2,1,1],[1,1],[1,1,1,1],[1,1,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,
1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,1,1,1],[1,1,1,1],[1,1,
1,1],[1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,3,3,1,3,3,1],[1,1,3,3,
1,3,3,1],[1,3,1,3,1,3,3,1],[1,1,3,3,1,3,3,1],[1,3,1,3,1,3,3,1],[1,1,3,3,1,3,3,
1],[1,1,4,1,1,2,1,2,2,1],[1,1,2,2,1,1,1,1,1,2,2,1],[1,1,1,1,1,1,1,1],[1,1,1,1,
2,1,1],[1,1,2,2,1,1,1,1],[1,1,4,1,1,2,1,2,2,1],[1,2,3,1,1,1,1],[1,1,1,1,2,1,
1],[1,1,4,1,1,2,1,2,2,1],[1,1,4,1,1,2,1,2,2,1],[1,1,2,2,1,1,1,1,1,2,2,1],[1,1,
2,2,1,1,1,1],[1,1,1,1,1,1,1,1],[1,1,1,1,1,2,1],[1,2,3,1,1,1,1],[1,1,1,1,1,2,
1],[1,5,1,1,1,1],[1,1,1,1,1,2,1],[1,4,1,1,1,1,1],[1,2,3,1,1,1,1],[1,1,2,2,1,1,
1,1],[1,1,3,2,1,1,2,2,1,1,1],[1,2,2,1,1,1,1,1],[1,2,2,1,1,1,1,1],[1,2,2,1,1,1,
1,1],[1,2,2,1,1,1,1,1],[1,2,2,1,1,1,1,1],[1,1,1,1,1,1,1,1],[1,2,2,1,1,1,1,1],[
1,1,1,1,1,1,1,1],[1,2,3,1,1,1,1],[1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1,1],[1,1,2,2,
1,1,1,1],[1,1,3,2,1,1,1,2,1,2,1],[1,3,1,2,1,1,2,1,2,1,1],[1,2,3,1,1,1,1],[1,2,
3,1,1,1,1],[1,2,2,1,1,1,1,1],[1,3,1,2,1,1,2,2,1,1,1],[1,2,2,1,1,1,1,1],[1,2,2,
1,1,1,1,1],[1,2,2,1,1,1,1,1],[1,2,2,1],[1,5,1,1],[1,1,1,1],[1,5,1,1],[1,3,4,1,
1],[1,3,4,1,1],[1,1,1,1,1,1],[1,1,6,1,3,1,2,1],[1,1,6,1,3,1,2,1],[1,1,1,1,1,
1],[1,1,6,1,3,1,2,1],[1,1,6,1,3,1,2,1],[1,1,3,3,1,3,1,1,1,1],[1,1,2,1,1,1,2,
1],[1,1,1,3,1,1],[1,1,2,1,1,1,2,1],[1,1,3,3,1,3,1,1,1,1],[1,1,1,3,1,1],[1,1,2,
1,1,1,2,1],[1,1,2,1,1,1,2,1],[1,4,3,1,3,1,1,1,1],[1,4,3,1,3,1,1,1,1],[1,4,3,1,
3,1,1,1,1],[1,4,3,1,3,1,1,1,1],[1,4,3,1,3,1,1,1,1],[1,4,3,1,3,1,1,1,1],[1,4,3,
1,3,1,1,1,1],[1,4,3,1,3,1,1,1,1],[1,1,6,2,3,3,1,3,1,3,3,6,6,6,6,1,2,3,3,6,1],[
1,1,3,3,1,1,3,3,3,1,3,3,1],[1,1,6,2,3,3,1,3,1,3,3,6,6,6,6,1,2,3,3,6,1],[1,1,2,
6,3,3,3,1,1,3,3,6,6,6,6,1,2,3,3,6,1],[1,1,3,3,1,1,3,3,3,1,3,3,1],[1,1,2,6,3,3,
1,3,1,3,3,6,6,6,6,1,2,3,3,6,1],[1,1,4,2,2,1,1,2,1,1,2,1,2,2,2,2,1,1,1,2,2,1],[
1,1,4,2,2,1,1,1,2,1,2,1,2,2,2,2,1,2,1,1,2,1],[1,1,4,3,3,1,2,3,3,2,2,2,1,1,1,2,
2,1],[1,1,4,4,1,1,2,2,1,2,2,2,2,2,1,1,1,4,1],[1,1,4,1,1,2,2,1,2,2,2,1,1,1,1],[
1,1,4,3,3,1,2,3,3,2,2,2,1,1,1,2,2,1],[1,1,4,4,1,1,2,2,1,1,1,2,2,2,2,1,1,1,2,2,
1],[1,1,4,4,1,1,1,2,2,1,1,2,2,2,2,2,1,1,1,2,1],[1,1,2,2,1,1,1,1,1,2,2,2,2,1,1,
1,1],[1,1,2,2,1,1,1,1,1,1,1,2,2,2,1,1,1,2,2,1],[1,1,2,2,1,1,1,1,1,1,1,2,2,2,1,
1,1,2,2,1],[1,1,4,1,1,2,2,1,2,2,2,1,1,1,1],[1,1,4,4,1,1,1,2,2,1,1,2,2,2,2,2,1,
1,1,2,1],[1,1,4,4,1,1,2,2,1,1,1,2,2,2,2,1,1,1,2,2,1],[1,1,4,1,1,2,2,1,2,2,2,1,
1,1,1],[1,1,5,5,1,1,1,3,1,3,5,1,1,1,1,1,1,1,1],[1,1,3,3,1,3,2,3,2,1,1,1,1],[1,
1,4,3,3,2,1,3,3,2,2,2,1,1,1,2,2,1],[1,1,4,1,1,2,2,1,2,2,2,1,1,1,1],[1,1,2,2,2,
2,1,1,1,1,1,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,2,4,1,1,1,2,1,2,1,2,2,2,2,
1,1,2,1,2,1],[1,1,3,3,1,2,3,3,2,1,1,1,1],[1,1,4,4,1,1,2,2,1,2,2,2,2,2,1,1,1,4,
1],[1,1,2,2,4,1,1,1,1,2,2,1,2,2,2,2,1,1,1,2,2,1],[1,1,2,2,1,1,1,1,1,2,2,2,2,1,
1,1,1],[1,1,1,1,1,1,1,1,1,2,1,1,1,1],[1,1,4,3,3,2,1,3,3,2,2,2,1,1,1,2,2,1],[1,
1,1,1,1,1,1,2,2,1,1,1,1],[1,1,1,1,1,1,4,1,1,1,1,1],[1,3,3,4,1,1,1,1,4,1,2,1,2,
1,1,1,1,1,1,1,1,1,1],[1,3,3,4,1,1,1,1,1,1,2,4,1,1,2,1,1,1,1,1,1,1,1],[1,3,3,2,
3,1,1,1,2,3,1,2,3,1,1,1,1,1,1,1,1,1],[1,3,3,2,3,1,1,1,3,1,2,2,1,3,1,1,1,1,1,1,
1,1],[1,3,3,2,3,1,1,1,2,1,2,1,3,3,1,1,1,1,1,1,1,1],[1,3,3,5,1,1,1,3,1,5,3,1,1,
1,1,1,1,1,1],[1,3,3,5,1,1,1,3,1,3,5,1,1,1,1,1,1,1,1],[1,3,3,2,3,1,1,1,1,1,2,3,
3,2,1,1,1,1,1,1,1,1],[1,9,2,2,6,6,1,1],[1,1,2,2,2,2,1,1],[1,9,2,2,6,6,1,1],[1,
3,2,2,1,3,1,1],[1,3,2,2,1,3,1,1],[1,3,2,2,1,3,1,1],[1,3,2,2,1,3,1,1],[1,1,5,5,
5,1,1,1,1,1],[1,1,5,1,1,1],[1,1,1,1,1,1],[1,5,5,1,1,1],[1,5,5,1,1,1],[1,1,3,3,
4,1,3,3,4,1,1,1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,6,3,4,1,3,3,4,3,1,1],[1,9,4,1,3,
3,4,3,1,1],[1,9,4,3,1,3,4,3,1,1],[1,6,3,4,1,3,3,4,3,1,1],[1,1,6,6,1,1,3,3,1,2,
2,3,1,1,1,1],[1,1,6,6,1,1,3,3,1,2,2,3,1,1,1,1],[1,6,3,4,1,3,3,4,3,1,1],[1,1,3,
3,4,1,3,3,4,1,1,1],[1,3,1,3,4,1,3,3,4,1,1,1],[1,3,1,3,4,1,3,3,4,1,1,1],[1,6,3,
4,1,3,3,4,3,1,1],[1,6,3,4,1,3,3,4,3,1,1],[1,6,3,4,1,3,3,4,3,1,1],[1,1,3,3,4,1,
3,3,4,1,1,1],[1,1,8,3,3,1,4,3,6,6,1,2,1,1,2,3,1,1,1,2,2,1],[1,1,3,3,1,1,3,3,1,
1,1,3,1,1,1,1],[1,1,2,2,1,1,1,1,1,2,2,1,1,1,1,1],[1,1,2,2,1,1,1,1,1,2,2,1,1,1,
1,1],[1,1,2,6,1,1,3,3,1,2,2,3,1,1,1,1],[1,1,3,3,1,1,3,3,1,1,1,3,1,1,1,1],[1,1,
8,3,3,1,4,3,6,6,1,2,1,1,2,3,1,1,1,2,2,1],[1,1,6,2,1,3,1,3,1,2,2,3,1,1,1,1],[1,
1,8,3,3,1,4,3,6,6,1,2,1,1,2,3,1,1,1,2,2,1],[1,1,8,3,3,1,4,3,6,6,1,2,1,1,2,3,1,
1,1,2,2,1],[1,1,6,2,1,3,1,3,1,2,2,3,1,1,1,1],[1,1,2,6,1,1,3,3,1,2,2,3,1,1,1,
1],[1,1,2,6,6,2,3,3,1,3,1,3,1,1,3,3,3,6,6,6,6,6,6,6,6,3,1,1,2,2,3,3,3,3,3,3,3,
3,6,6,6,1,1,1,3,3,3,3,1],[1,1,6,2,2,6,3,3,1,1,1,3,3,1,3,3,3,6,6,6,6,6,6,6,6,1,
3,1,2,2,3,3,3,3,3,3,3,3,6,6,6,1,1,1,3,3,3,3,1],[1,1,6,6,5,5,3,1,3,1,1,3,1,3,5,
10,6,6,2,6,10,6,1,1,2,2,3,5,1,3,1,1,1,1,1,6,2,2,2,2,2,2,6,2,2,1,1,1,1,1,1,1,2,
2,2,2,1],[1,1,6,2,4,3,3,1,2,3,1,3,2,3,6,6,2,2,6,2,2,6,1,2,3,3,1,2,1,1,1,2,2,6,
2,4,1,1,1,1,1,1,1,1],[1,1,4,4,2,2,1,1,2,1,2,1,1,1,4,1,2,2,2,2,2,2,2,1,1,2,1,1,
1,2,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,4,6,2,3,3,1,3,2,1,2,3,3,2,2,2,6,6,6,
2,6,1,2,1,2,3,1,3,1,1,2,2,2,6,4,1,1,1,1,1,1,1,1],[1,1,4,4,3,3,1,2,2,1,3,3,3,2,
2,2,2,2,2,2,1,3,1,3,1,1,1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,6,4,3,3,3,1,1,2,2,
3,3,6,2,2,2,6,6,2,6,1,2,3,1,1,3,2,1,1,2,2,6,2,4,1,1,1,1,1,1,1,1],[1,1,4,4,3,3,
1,1,2,2,3,3,3,2,2,2,2,2,2,2,1,1,3,3,1,1,1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,2,
2,2,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,1,1,1,1,
1,1,1,1],[1,1,2,2,4,4,1,1,1,2,1,2,1,1,4,1,2,2,2,2,2,2,2,1,1,2,1,1,1,2,1,1,2,2,
2,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,6,5,5,1,3,3,1,1,3,1,3,5,6,2,6,10,6,10,6,1,1,2,
2,3,1,3,5,1,1,1,1,1,2,2,2,2,2,2,6,2,6,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,4,2,6,3,
3,2,1,3,1,3,2,3,6,2,6,2,2,6,6,2,1,2,1,3,1,3,2,1,1,2,2,6,2,4,1,1,1,1,1,1,1,1],[
1,1,4,4,4,4,1,1,1,2,2,2,2,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,
2,2,4,4,1,1,1,1,1,1,1,1],[1,1,5,5,1,1,1,1,3,1,5,3,5,2,1,1,5,3,1,3,1,1,1,1,1,1,
1,1,1,1,1,1,1],[1,1,9,9,2,2,9,2,2,6,6,6,6,1,6,6,1,1,1,1],[1,1,2,2,9,2,2,1,6,6,
1,1],[1,9,2,2,9,6,6,1,1,1],[1,9,2,2,9,6,6,1,1,1],[1,1,2,2,1,2,2,1,2,2,1,1],[1,
9,2,2,9,6,6,1,1,1],[1,9,2,2,9,6,6,1,1,1],[1,1,6,2,2,3,2,2,2,6,1,1,3,1,2,1],[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],[1,1,6,2,2,3,2,2,
2,6,1,1,3,1,2,1],[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],[1,1,6,2,2,3,2,2,2,6,1,1,3,1,2,1],[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],[1,6,9,2,2,9,2,6,6,6,1,6,1,2,1],[1,1,6,2,2,3,2,2,2,6,1,
1,3,1,2,1],[1,6,9,2,2,9,2,6,6,6,1,6,1,2,1],[1,1,5,5,5,10,1,5,1,1,1,1,2,1],[1,
1,5,5,1,5,5,1,5,1,1,1,1,1,1,1],[1,1,5,5,5,10,1,5,1,1,1,1,2,1],[1,1,6,2,3,3,4,
1,3,1,3,3,6,6,6,6,4,8,1,2,3,3,6,1,4,1,1,2,1],[1,1,2,6,3,3,4,1,3,1,3,3,6,6,6,6,
4,8,1,2,3,3,6,1,4,1,1,2,1],[1,1,9,9,4,3,1,3,3,3,9,9,4,4,4,3,1,3,3,3,3,3,1,4,3,
1,1,1,1],[1,1,3,3,4,1,3,6,3,6,4,1,3,3,1,4,3,1,1],[1,1,12,3,3,4,1,6,3,3,6,6,6,
4,8,1,3,3,6,6,1,4,3,1,2,1],[1,1,2,6,3,3,4,3,1,1,3,3,6,6,6,6,4,8,1,2,3,3,6,1,4,
1,1,2,1],[1,1,6,2,3,3,4,1,3,1,3,3,6,6,6,6,4,8,1,2,3,3,6,1,4,1,1,2,1],[1,1,3,3,
4,1,1,3,3,3,4,1,3,3,1,4,1,1,1],[1,1,12,3,3,4,1,6,3,3,6,6,6,4,8,1,3,3,6,6,1,4,
3,1,2,1],[1,1,12,3,3,4,6,1,3,3,6,6,6,4,8,1,3,3,6,6,1,4,3,1,2,1],[1,1,3,3,4,1,
1,3,3,3,4,1,3,3,1,4,1,1,1],[1,1,3,3,4,1,6,3,3,6,4,1,3,3,1,4,3,1,1],[1,1,12,3,
3,4,6,1,3,3,6,6,6,4,8,1,3,3,6,6,1,4,3,1,2,1],[1,1,9,9,4,1,3,3,9,3,3,9,4,4,4,1,
3,3,3,3,3,3,1,4,3,1,1,1,1],[1,3,7,9,4,3,1,3,3,3,9,9,4,4,4,1,3,3,3,3,3,3,1,4,3,
1,1,1,1],[1,3,7,6,3,4,1,3,3,6,3,3,6,3,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,
3,7,6,3,4,1,3,3,3,3,6,3,3,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,7,3,6,3,4,1,
3,3,6,3,6,3,3,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,7,3,9,4,1,3,3,9,3,9,3,4,
4,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,7,3,9,4,3,1,3,3,3,9,9,4,4,4,3,1,3,3,3,3,3,
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,
7,3,6,3,4,1,3,3,3,3,6,6,3,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,8,8,3,3,1,
1,4,4,3,3,6,6,6,6,1,2,2,1,1,2,2,4,3,3,3,6,1,1,1,1,1,1,1,2,2,2,2,3,1,1,1,1,1,1,
1,1],[1,1,8,8,3,3,1,1,4,4,3,3,6,6,6,6,1,2,2,1,1,2,2,4,3,3,3,6,1,1,1,1,1,1,1,2,
2,2,2,3,1,1,1,1,1,1,1,1],[1,15,10,5,6,10,6,5,1],[1,15,10,5,6,10,6,5,1],[1,1,6,
6,6,6,5,5,1,3,1,3,3,3,1,1,3,1,5,3,5,10,6,6,2,2,6,6,10,6,2,6,10,10,6,6,3,3,1,1,
2,2,2,2,3,5,5,3,5,3,1,3,3,3,5,5,1,1,1,1,1,1,1,2,6,6,2,2,2,2,2,2,2,2,2,2,2,6,6,
6,2,2,2,6,2,4,4,1,1,1,1,1,1,3,3,1,1,1,1,1,3,1,1,1,1,3,1,1,1,1,1,1,5,3,1,1,3,1,
1,1,1,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,12,9,9,2,2,6,9,
18,18,2,2,4,6,6,6,6,12,9,1,2,6,6,6,12,12,1,1,1,4,6,1,2,2,2,1],[1,1,12,9,9,2,2,
6,9,18,18,2,2,4,6,6,6,6,12,9,1,2,6,6,6,12,12,1,1,1,4,6,1,2,2,2,1],[1,1,9,9,2,
2,1,9,9,2,2,6,6,6,6,9,1,2,2,6,6,6,6,1,1,1,6,6,1,1,1,1],[1,1,9,9,2,2,9,9,9,2,2,
6,6,6,6,9,1,6,6,1,1,1,1,1,1,1],[1,1,9,9,2,2,9,18,2,2,6,6,6,6,9,1,6,6,1,1,1,1,
1,1,1],[1,1,12,9,9,2,2,6,9,18,18,2,2,4,6,6,6,6,12,9,1,2,6,6,6,12,12,1,1,1,4,6,
1,2,2,2,1],[1,1,12,9,9,2,2,6,9,18,18,2,2,4,6,6,6,6,12,9,1,2,6,6,6,12,12,1,1,1,
4,6,1,2,2,2,1],[1,1,6,6,2,2,1,3,3,2,2,2,2,6,6,3,1,2,1,2,1,3,3,1,2,2,1,3,1,1,1,
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],[1,6,6,9,2,2,9,9,9,2,
2,6,6,6,6,9,1,6,6,1,2,2,1,1,1,1],[1,1,6,6,2,2,3,3,9,2,2,2,2,6,6,9,1,1,1,3,6,6,
3,1,2,2,3,3,1,1,1,1],[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,
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],[1,6,6,9,2,2,9,9,9,2,2,6,6,
6,6,9,1,6,6,1,2,2,1,1,1,1],[1,6,6,9,2,2,9,9,9,2,2,6,6,6,6,9,1,6,6,1,2,2,1,1,1,
1],[1,1,6,6,2,2,1,3,3,2,2,2,2,6,6,3,1,2,1,2,1,3,3,1,2,2,1,3,1,1,1,1],[1,1,6,6,
2,2,3,3,9,2,2,2,2,6,6,9,1,1,1,6,3,6,3,1,2,2,3,3,1,1,1,1],[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],[1,6,6,9,2,2,9,9,9,2,2,6,6,6,6,9,1,6,6,1,2,2,
1,1,1,1],[1,1,5,5,1,5,5,10,10,1,5,5,5,1,1,1,5,1,1,1,2,2,1,1,1,1],[1,1,14,6,9,
9,4,3,7,3,1,3,3,3,9,9,6,6,18,18,18,18,6,4,8,4,4,8,3,1,6,2,9,3,3,9,3,3,3,3,3,6,
6,6,6,6,6,6,6,18,6,1,4,4,4,8,8,3,1,3,3,3,3,3,6,6,6,6,1,1,1,2,2,4,3,1,1,1,2,2,
1],[1,1,12,2,6,3,3,4,6,1,3,1,3,6,3,6,6,6,6,6,6,6,6,4,8,8,1,2,3,3,3,3,6,3,3,6,
6,6,6,12,1,4,4,4,1,3,3,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,1,12,12,3,3,4,1,6,6,1,3,
3,3,6,6,6,6,6,6,4,8,8,6,1,3,3,3,3,3,3,6,6,6,6,6,1,4,4,4,1,3,3,3,3,3,3,1,4,2,2,
3,1,1,1,1],[1,1,12,6,2,3,3,4,1,3,6,1,6,3,3,6,6,6,6,6,6,6,6,4,8,8,1,2,3,6,3,3,
3,3,3,6,6,6,6,12,1,4,4,4,1,3,3,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,1,6,14,9,9,4,1,3,
7,3,3,9,3,3,9,18,6,6,18,6,18,18,4,8,4,4,8,1,3,2,6,3,3,9,9,3,3,3,3,3,6,6,6,6,6,
6,18,6,6,6,1,4,4,4,8,8,1,3,3,3,3,3,3,6,6,6,6,1,1,1,2,2,4,3,1,1,1,2,2,1],[1,1,
9,9,4,1,3,1,3,3,3,9,9,9,6,4,4,4,3,1,9,9,3,3,3,3,3,3,3,1,4,4,4,1,3,3,3,3,3,3,1,
1,1,4,3,1,1,1,1],[1,1,6,2,2,6,3,3,4,1,1,1,3,3,1,3,3,3,6,6,6,6,6,6,6,6,4,8,8,1,
3,1,2,2,3,3,3,3,3,3,3,3,6,6,6,1,4,4,4,1,1,1,3,3,3,3,1,2,2,4,1,1,1,1,1],[1,1,6,
14,9,9,4,7,3,3,1,3,3,3,9,9,18,6,6,6,18,18,18,4,8,4,4,8,3,1,2,6,3,9,3,9,3,3,3,
3,3,18,6,6,6,6,6,6,6,6,6,1,4,4,4,8,8,1,3,3,3,3,3,3,6,6,6,6,1,1,1,2,2,4,3,1,1,
1,2,2,1],[1,1,6,2,12,3,3,4,1,6,3,1,3,6,3,6,6,6,6,6,6,6,6,4,8,8,1,2,3,3,3,6,3,
3,3,6,6,6,6,12,1,4,4,4,1,3,3,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,1,14,6,9,9,4,3,1,7,
3,3,9,3,3,9,18,18,18,6,6,18,6,4,8,4,4,8,1,3,6,2,9,9,3,3,3,3,3,3,3,6,6,6,6,6,6,
6,18,6,6,1,4,4,4,8,8,3,1,3,3,3,3,3,6,6,6,6,1,1,1,2,2,4,3,1,1,1,2,2,1],[1,1,2,
6,12,3,3,4,3,1,1,6,6,3,3,6,6,6,6,6,6,6,6,4,8,8,1,2,3,3,3,3,6,3,3,6,6,6,6,12,1,
4,4,4,1,3,3,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,1,2,6,6,2,3,3,4,1,3,1,3,1,1,3,3,3,6,
6,6,6,6,6,6,6,4,8,8,3,1,1,2,2,3,3,3,3,3,3,3,3,6,6,6,1,4,4,4,1,1,1,3,3,3,3,1,2,
2,4,1,1,1,1,1],[1,1,12,12,3,3,4,1,1,6,6,3,3,3,6,6,6,6,6,6,4,8,8,6,1,3,3,3,3,3,
3,6,6,6,6,6,1,4,4,4,1,3,3,3,3,3,3,1,4,2,2,3,1,1,1,1],[1,1,9,9,4,1,1,3,3,9,3,9,
3,9,6,4,4,4,1,3,9,3,3,9,3,3,3,3,3,1,4,4,4,3,1,3,3,3,3,3,1,1,1,4,3,1,1,1,1],[1,
1,15,15,10,5,15,15,6,10,10,10,5,6,6,6,5,10,6,5,1,1],[1,1,15,15,10,5,15,15,6,
10,10,10,5,6,6,6,5,10,6,5,1,1],[1,10,15,10,5,15,15,6,10,10,10,15,6,5,10,6,5,1,
1],[1,10,15,10,5,15,15,6,10,10,10,15,6,5,10,6,5,1,1],[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,
1,12,12,9,9,2,2,6,6,9,18,18,18,18,18,2,2,4,4,6,6,6,6,12,12,9,9,9,36,1,2,2,6,6,
6,6,12,12,12,12,9,1,1,1,4,4,6,6,1,1,1,2,2,2,2,2,2,1,1,1,2,2,1],[1,1,12,12,9,9,
2,2,1,6,6,9,9,18,18,18,18,2,2,4,4,6,6,6,6,12,12,6,9,9,9,18,1,2,2,2,2,6,6,6,6,
6,6,12,12,12,12,9,1,1,1,4,4,2,6,6,6,6,6,6,6,1,1,1,2,2,2,2,2,2,6,1,1,1,2,2,1],[
1,1,12,12,9,9,2,2,6,6,9,9,9,18,18,18,18,2,2,4,4,6,6,6,6,12,12,9,9,9,18,18,1,2,
2,6,6,6,6,12,12,12,12,9,1,1,1,4,4,6,6,1,1,1,2,2,2,2,2,2,1,1,1,2,2,1],[1,1,12,
12,9,9,2,2,6,6,9,9,9,18,18,18,18,2,2,4,4,6,6,6,6,12,12,9,9,9,18,18,1,2,2,6,6,
6,6,12,12,12,12,9,1,1,1,4,4,6,6,1,1,1,2,2,2,2,2,2,1,1,1,2,2,1],[1,1,12,12,9,9,
2,2,1,6,6,9,9,18,18,18,18,2,2,4,4,6,6,6,6,12,12,6,9,9,9,18,1,2,2,2,2,6,6,6,6,
6,6,12,12,12,12,9,1,1,1,4,4,2,6,6,6,6,6,6,6,1,1,1,2,2,2,2,2,2,6,1,1,1,2,2,1],[
1,1,12,12,9,9,2,2,6,6,9,18,18,18,18,18,2,2,4,4,6,6,6,6,12,12,9,9,9,36,1,2,2,6,
6,6,6,12,12,12,12,9,1,1,1,4,4,6,6,1,1,1,2,2,2,2,2,2,1,1,1,2,2,1],[1,1,9,9,2,2,
1,9,9,9,9,18,2,2,6,6,6,6,9,9,9,1,2,2,6,6,6,6,9,1,1,1,6,6,1,1,1,1,1,1,1,1,1,1,
1],[1,1,14,6,6,14,9,9,4,1,3,1,3,7,7,3,3,9,3,9,3,9,18,18,18,6,6,18,6,18,6,6,6,
18,18,18,6,4,8,8,4,4,8,8,3,7,1,3,6,2,2,6,9,9,9,3,9,3,3,9,9,3,9,9,3,3,3,3,3,3,
3,6,18,6,6,6,6,6,6,6,6,6,6,6,6,6,18,18,6,6,6,6,6,12,12,1,4,4,4,4,4,4,4,8,8,8,
8,1,3,3,1,1,3,3,9,3,3,3,3,3,3,3,3,3,3,9,3,3,3,3,3,3,9,3,3,3,9,3,3,3,3,3,6,6,6,
6,6,6,6,6,1,1,1,4,2,2,2,2,4,4,4,4,4,4,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,1,1,
1,1,2,2,2,2,4,3,1,1,1,1,1,1,1,1],[1,1,6,14,14,6,9,9,4,1,7,3,7,3,3,1,3,3,3,9,9,
9,18,6,6,6,6,6,18,18,18,6,18,18,18,6,18,4,8,8,4,4,8,8,7,3,3,1,2,6,6,2,3,9,9,9,
9,9,3,3,3,9,9,9,3,3,3,3,3,3,3,6,6,18,6,6,6,6,6,6,6,6,6,6,6,18,6,6,6,6,6,18,6,
12,12,1,4,4,4,4,4,4,4,8,8,8,8,3,1,1,3,3,1,9,3,3,3,3,3,3,9,3,3,3,3,3,3,3,3,3,3,
3,9,9,3,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,1,1,1,4,2,2,2,2,4,4,4,4,4,4,3,1,3,3,3,3,
3,3,3,3,3,3,3,3,3,1,1,1,1,1,1,1,2,2,2,2,4,3,1,1,1,1,1,1,1,1],[1,1,20,15,15,10,
10,5,15,15,30,30,30,6,10,20,10,10,20,5,15,15,30,30,6,6,6,5,10,10,10,20,20,15,
6,12,5,10,10,6,5,1,1,2,1],[1,1,15,15,10,1,5,15,15,15,6,10,10,10,5,15,15,6,6,6,
5,10,10,10,5,6,6,6,5,10,6,5,1,1,1],[1,1,20,15,15,10,10,5,15,15,30,30,30,6,10,
20,10,10,20,5,15,15,30,30,6,6,6,5,10,10,10,20,20,15,6,12,5,10,10,6,5,1,1,2,
1],[1,1,15,15,10,1,5,15,15,15,6,10,10,10,5,15,15,6,6,6,5,10,10,10,5,6,6,6,5,
10,6,5,1,1,1],[1,1,20,15,15,10,5,10,15,15,30,30,30,6,10,20,10,10,20,5,15,15,
30,30,6,6,6,5,10,10,10,20,20,15,6,12,5,10,10,6,5,1,1,2,1],[1,1,20,15,15,10,5,
10,15,15,30,30,30,6,10,20,10,10,20,5,15,15,30,30,6,6,6,5,10,10,10,20,20,15,6,
12,5,10,10,6,5,1,1,2,1],[1,1,12,12,12,12,9,9,2,2,1,6,6,6,6,9,9,9,9,18,18,18,
18,18,18,18,18,18,2,2,4,4,4,4,6,6,6,6,12,12,12,12,6,6,9,9,9,9,9,9,9,18,18,18,
18,18,18,36,36,1,2,2,2,2,2,2,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,9,9,9,9,
9,9,9,1,1,1,4,4,4,4,2,2,6,6,6,6,6,6,6,6,6,6,6,6,9,1,1,1,1,1,1,1,2,2,2,2,2,2,2,
2,2,2,2,2,6,6,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,45,20,
20,15,15,45,36,60,60,45,10,36,15,15,10,15,15,10,6,6,1],[1,1,20,20,15,15,10,1,
10,10,5,15,15,15,30,30,30,30,30,30,6,10,20,20,10,10,20,20,10,5,15,15,15,15,15,
15,30,30,30,30,30,6,6,6,5,10,10,10,10,10,10,10,20,20,20,20,5,15,15,15,15,15,
15,6,6,6,12,12,5,10,10,10,10,10,10,10,10,10,15,6,6,6,5,5,5,10,1,6,5,1,2,2,1,1,
1,1],[1,1,20,20,15,15,10,1,5,10,10,15,15,15,30,30,30,30,30,30,6,10,20,20,10,
10,20,20,10,5,15,15,15,15,15,15,30,30,30,30,30,6,6,6,5,10,10,10,10,10,10,10,
20,20,20,20,5,15,15,15,15,15,15,6,6,6,12,12,5,10,10,10,10,10,10,10,10,10,15,6,
6,6,5,5,5,10,1,6,5,1,2,2,1,1,1,1],[1,1,45,45,20,20,15,15,45,45,45,45,45,36,20,
20,60,60,60,60,15,15,45,45,45,45,45,10,36,36,36,15,15,60,60,45,10,10,10,36,15,
15,15,15,15,15,10,10,10,15,15,6,6,10,6,6,1,1],[1,15,15,45,20,20,15,15,45,45,
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],[1,1,30,30,45,
45,20,20,15,15,15,15,45,45,45,45,45,90,90,90,90,90,90,90,36,20,20,40,40,60,60,
60,60,120,120,15,15,30,30,45,45,45,45,45,45,45,45,45,90,90,90,90,90,90,90,90,
90,90,10,36,36,36,15,15,20,20,60,60,60,60,120,120,120,120,15,15,45,45,45,45,
45,90,90,90,90,10,10,10,40,40,36,72,15,15,15,15,15,15,30,30,30,30,60,60,45,10,
10,10,20,20,20,20,20,20,36,15,15,15,15,15,15,30,30,30,30,6,6,10,10,10,20,20,
15,15,6,6,12,12,10,6,6,1,1,2,1],[1,1,30,30,45,45,20,20,15,15,15,15,45,45,45,
45,45,90,90,90,90,90,90,90,36,20,20,40,40,60,60,60,60,120,120,15,15,30,30,45,
45,45,45,45,45,45,45,45,90,90,90,90,90,90,90,90,90,90,10,36,36,36,15,15,20,20,
60,60,60,60,120,120,120,120,15,15,45,45,45,45,45,90,90,90,90,10,10,10,40,40,
36,72,15,15,15,15,15,15,30,30,30,30,60,60,45,10,10,10,20,20,20,20,20,20,36,15,
15,15,15,15,15,30,30,30,30,6,6,10,10,10,20,20,15,15,6,6,12,12,10,6,6,1,1,2,
1],[1,1,45,45,20,20,1,15,15,45,45,45,45,45,45,90,36,20,20,60,60,60,60,15,15,
45,45,45,45,45,45,45,45,45,10,36,36,36,15,15,20,20,60,60,60,60,15,15,45,45,45,
45,45,10,10,10,36,36,36,15,15,15,15,15,15,60,60,45,10,10,10,10,10,10,10,36,15,
15,15,15,15,15,6,6,10,10,10,15,15,6,6,10,6,6,1,1,1],[1,1,30,30,30,30,45,45,20,
20,1,15,15,15,15,15,15,45,45,45,45,45,45,90,90,90,90,90,90,90,90,90,90,90,90,
90,90,90,36,20,20,40,40,40,40,60,60,60,60,120,120,120,120,15,15,15,15,30,30,
30,30,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,90,90,90,90,90,
90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,180,180,10,36,36,36,15,15,
20,20,20,20,20,20,60,60,60,60,60,60,60,60,120,120,120,120,120,120,120,120,15,
15,15,15,15,15,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,
45,45,45,45,45,45,45,45,90,90,90,90,90,90,90,90,10,10,10,40,40,40,40,36,36,36,
72,72,15,15,15,15,15,15,20,20,30,30,30,30,30,30,30,30,60,60,60,60,60,60,60,60,
60,60,60,60,15,15,45,45,45,45,45,45,45,45,45,45,45,45,45,10,10,10,10,10,10,10,
20,20,20,20,20,20,20,20,20,20,20,20,36,36,36,15,15,15,15,15,15,15,15,15,15,15,
15,15,15,30,30,30,30,30,30,30,30,60,60,6,6,45,10,10,10,10,10,10,10,20,20,20,
20,20,20,20,20,20,20,20,20,36,15,15,15,15,15,15,15,15,15,15,15,15,15,15,6,6,
12,12,12,12,10,10,10,10,10,10,10,15,15,6,6,6,6,6,6,10,1,6,6,1,2,2,1,1,1,1]],
[1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
5,6,6,6,6,6,6,6,6,6,6,6,6,6,6,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,9,10,10,10,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,16,16,16,16,16,16,
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,
16,16,16,16,16,16,16,16,16,16,16,18,18,18,18,18,18,18,20,20,20,20,20,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,40,40,40,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,
48,48,48,48,48,48,48,48,60,60,64,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,
72,72,72,72,80,96,96,96,96,96,96,96,96,96,96,96,96,96,96,120,120,120,120,120,
120,144,144,144,144,144,144,144,192,192,240,240,240,240,240,240,288,360,480,
480,720,720,720,1440,1440,1440,2880],
[345,345,309,307,300,304,279,279,324,321,345,328,327,328,327,327,328,279,279,
279,279,279,279,218,218,227,227,229,219,221,227,227,218,223,227,218,228,218,
299,321,324,285,281,286,280,276,275,275,276,213,212,210,204,328,327,327,328,
307,309,304,300,279,279,279,279,279,279,279,279,279,279,279,279,279,279,279,
279,279,279,279,227,217,218,218,227,227,227,218,218,218,218,218,227,227,216,
227,218,227,218,218,227,227,142,161,335,299,299,299,327,328,324,321,324,321,
321,324,275,275,275,276,276,276,276,275,213,204,213,212,204,210,210,212,327,
328,328,327,327,328,279,279,279,279,279,279,279,279,279,279,279,279,279,279,
279,279,279,279,279,279,279,279,279,279,279,279,279,279,279,218,227,218,227,
218,218,227,227,335,335,335,280,281,286,285,299,299,299,252,250,328,327,328,
327,328,327,324,321,307,300,307,304,304,300,309,309,276,276,275,276,276,275,
276,276,275,275,275,275,327,328,279,279,279,279,279,279,279,279,279,279,279,
279,279,335,335,335,335,335,335,335,324,320,322,321,320,323,324,322,323,325,
321,325,299,299,299,328,328,328,328,327,327,327,327,327,328,328,327,328,327,
307,307,304,309,309,300,304,300,275,276,337,338,279,335,335,335,335,335,335,
335,321,322,320,324,320,325,325,322,324,321,323,323,299,328,328,328,327,327,
328,328,328,328,327,327,327,327,327,338,337,331,334,329,333,335,335,335,335,
335,335,335,327,328,337,337,337,338,338,338,335,345,337,338,345,342,343,345,
345,345,345],
[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,
1,1,1,10,9,9,10,10,9,9,10,1,1,1,1,2,2,1,1,1,1,1,1,1,1,1,1,2,1,8,1,1,1,1,2,1,1,
8,1,8,1,8,8,2,1,8,8,8,8,8,1,8,1,8,1,1,2,1,1,8,8,8,1,8,7,7,1,39,1,39,13,17,1,
10,9,1,10,9,9,1,9,1,10,10,1,1,9,10,9,9,10,10,10,9,1,1,1,1,1,1,2,2,8,7,7,8,8,2,
2,1,1,7,2,8,7,8,8,8,7,2,2,8,7,2,2,1,8,2,8,8,8,8,8,8,8,8,8,105,1,105,10,9,9,10,
39,39,1,39,39,17,13,110,109,110,109,41,40,110,17,17,13,109,110,109,13,10,10,2,
2,40,9,10,40,9,9,41,41,2,2,8,23,23,23,23,23,23,2,23,8,23,23,8,105,105,105,105,
1,105,105,9,105,105,10,105,105,9,105,105,105,10,105,39,39,39,17,17,110,110,
109,13,13,13,109,110,17,109,110,109,110,110,109,109,109,110,109,110,41,40,277,
278,23,105,105,105,105,105,105,105,40,176,178,177,178,178,178,176,41,177,176,
176,107,110,188,188,189,109,110,57,110,188,109,189,56,189,109,278,277,277,278,
277,278,178,177,176,176,177,178,105,189,188,277,277,277,278,278,278,231,336,
315,314,336,336,336,336,336,336,339],
[( 1,12)( 2,18)( 3,23)( 4,27)( 5,33)( 6,21)( 7,17)( 8,26)( 9,38)(10,13)(11,36)
(14,34)(15,40)(16,39)(19,31)(20,29)(22,30)(24,35)(25,28)(32,37),
( 1,17,12,23, 8,21, 9,32, 3,34,16,40,39,13,14,37,22, 6,10,26)( 2,38,11,29,19,
18, 7,36,27,35,28,30,33,24, 4,25,15, 5,31,20)],
[[[[]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]]],[[[2,2],[3,
2,1,1,2,1]]],[[[1,1,2,1],[3,2,1,1,2,1]]],[[[1,1,2,1],[3,1,2,3,1,1,3,-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],[1,1,2,
-1,3,2,1,1,2,-1]]],[[[1,1,2,-1,1,1,2,-1]]],[[[1,1,2,-2,1,1,2,2]]],[[[2,
5]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,
1,1],[3,1,4,-1,2,-1,1,1,2,-2,3,1,4,1]]],[[[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],[3,1,2,1,4,-1,3,2,4,
-1]],[[1,1,2,1],[2,1,1,1],[3,2,4,-1,3,1,2,1,4,-1]]],[[[2,2],[1,1,2,1,3,2]],[[
2,2],[3,2,2,1,1,1]]],[[[1,1,2,1],[3,1,2,2,1,1,2,-2,3,-1]],[[1,1,2,-2,1,1,2,2,
1,1]]],[[[1,1,2,1],[2,1,3,1],[3,1,4,2,3,1]],[[1,1,2,1],[3,1,1,1,2,-1,1,1,2,-1,
3,1]]],[[[1,1,2,-3,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1,2,-1,3,1,1,1,2,-2,3,1]],[[
1,1,2,1],[2,1,3,1],[3,1,4,2,3,1]]],[[[1,1,2,-1,1,1,2,3]]],[[[2,1,1,1],[2,2,3,
2,2,1,3,-1,1,1,2,1]]],[[[1,1,2,1],[2,1,3,1],[4,1,3,1,4,1,2,1,1,1]],[[1,1,2,
1],[2,2,1,1],[3,1,4,-1,3,1,4,-1]]],[[[1,1,2,1],[2,1,1,1,2,-1,3,1,1,1,2,-2,3,
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28,37,50,54,83,112,123,124,195],[1,2,4,10,14,15,17,50,51,59,112,115,118,196],[
1,3,4,8,11,16,38,40,45,48,49,102,116,119,126,197],[1,2,5,7,10,17,30,37,46,47,
50,86,118,121,124,198],[1,3,9,11,13,34,38,48,53,93,111,125,126,199],[1,2,4,5,
7,9,10,15,28,30,41,42,46,47,50,51,54,90,115,121,123,127,131,200],[1,2,4,7,10,
15,35,37,47,50,51,99,115,117,124,201],[1,2,9,12,14,28,37,55,83,113,202],[1,3,
9,12,13,34,38,55,93,114,203],[1,6,9,12,19,27,33,55,107,130,204],[1,2,3,4,6,8,
13,14,15,17,19,21,22,24,25,26,31,32,36,40,56,58,59,61,64,66,67,69,73,74,76,79,
87,88,132,134,135,151,153,154,164,205],[1,2,3,5,6,7,13,14,16,18,19,20,23,24,
25,26,29,30,35,39,56,57,58,60,62,63,68,71,72,73,75,80,95,101,132,133,136,144,
150,160,163,206],[1,2,3,6,7,8,9,16,17,19,20,21,22,23,24,25,26,27,28,31,32,33,
34,35,39,63,66,70,72,73,75,76,78,79,81,88,89,91,94,95,105,107,138,141,142,143,
144,146,153,207],[1,2,3,4,5,6,7,8,9,13,15,16,18,20,21,23,24,26,28,29,30,31,32,
33,34,36,38,40,41,42,43,44,57,58,61,64,65,68,70,71,72,75,76,80,81,82,84,87,90,
92,93,94,96,98,102,103,104,106,135,137,142,149,150,158,159,167,168,169,174,
208],[1,2,3,6,7,9,13,17,20,22,23,24,26,28,33,34,35,38,39,58,62,63,65,66,69,70,
80,82,89,91,93,95,134,137,141,152,155,160,162,209],[1,2,3,4,5,6,7,8,9,15,18,
19,20,21,22,23,24,25,26,27,28,29,30,33,34,36,40,41,42,43,44,62,64,67,68,69,70,
71,73,78,88,90,92,95,98,103,106,107,138,147,149,151,155,157,163,210],[1,2,3,6,
9,13,14,19,24,25,26,27,28,33,34,37,38,56,58,65,70,73,77,78,82,83,85,93,107,
132,137,138,139,145,148,165,211],[1,2,3,4,5,6,7,8,9,14,15,17,18,20,21,22,25,
26,28,29,30,33,34,35,36,37,39,40,41,42,43,44,56,59,60,63,64,66,67,70,71,74,77,
79,83,85,86,89,90,91,92,97,98,99,100,101,103,106,136,139,141,149,154,156,161,
170,171,172,173,212],[1,2,3,5,6,7,8,14,18,20,21,22,25,26,27,29,30,31,32,35,38,
39,56,60,63,65,69,71,74,76,78,84,88,96,101,105,136,143,147,148,159,162,164,
213],[1,2,3,5,6,7,8,17,18,19,20,21,22,23,24,25,26,29,30,31,32,37,38,62,65,66,
68,71,73,76,77,79,84,86,88,95,96,100,140,145,152,153,159,161,163,214],[1,2,3,
4,6,8,14,15,16,17,21,22,23,25,26,27,36,38,40,56,59,62,64,65,66,67,74,75,78,79,
102,104,133,146,148,152,154,157,158,215],[1,2,3,6,8,9,14,16,21,22,23,25,26,28,
31,32,33,34,37,56,62,69,70,74,75,76,77,81,83,85,88,94,133,139,140,142,155,164,
166,216],[1,2,3,5,6,7,13,16,17,18,20,22,23,24,26,27,29,30,37,57,58,66,68,69,
71,72,75,77,78,80,86,100,134,146,147,150,161,165,166,217],[1,2,3,4,6,7,8,13,
15,20,21,23,24,26,27,31,32,35,36,37,39,40,58,61,62,63,64,76,77,78,80,87,95,97,
99,105,135,140,143,156,157,160,165,218],[1,2,3,4,6,7,8,15,16,19,20,21,22,23,
24,25,26,35,36,37,38,39,40,63,64,65,67,69,72,73,75,77,88,95,97,99,102,104,144,
145,151,156,158,162,166,219],[1,2,10,11,12,14,50,108,109,112,113,220],[1,3,10,
11,12,13,48,108,110,111,114,221],[1,4,5,9,10,11,12,42,45,46,51,52,53,54,55,
108,128,131,175,176,177,222],[1,2,3,6,11,13,14,19,24,25,26,48,56,58,73,109,
111,132,180,223],[1,2,3,6,10,13,14,19,24,25,26,50,56,58,73,110,112,132,183,
224],[1,2,3,6,12,13,14,19,24,25,26,56,58,73,113,114,130,132,225],[1,2,3,5,6,7,
11,14,18,20,25,26,29,30,35,39,48,52,56,60,63,71,101,109,122,136,180,188,226],[
1,2,3,6,9,11,14,25,26,28,33,34,37,48,53,56,70,77,83,85,109,125,139,180,186,
227],[1,2,3,6,11,14,25,26,27,38,48,56,65,78,109,126,148,180,228],[1,2,3,6,11,
14,16,23,25,26,48,56,62,75,109,119,133,180,229],[1,2,3,6,8,11,14,21,22,25,26,
31,32,48,49,56,69,74,76,88,109,120,164,180,182,230],[1,2,3,4,6,8,11,14,15,17,
21,22,25,26,36,40,45,48,49,56,59,64,66,67,74,79,109,116,154,179,180,182,231],[
1,2,3,4,6,8,10,13,15,21,24,26,31,32,36,40,50,51,58,61,64,76,87,110,115,135,
183,189,232],[1,2,3,6,9,10,13,24,26,28,33,34,38,50,54,58,65,70,82,93,110,123,
137,183,187,233],[1,2,3,5,6,7,10,13,16,18,20,23,24,26,29,30,46,47,50,57,58,68,
71,72,75,80,110,121,150,178,181,183,234],[1,2,3,6,7,10,13,20,23,24,26,35,39,
47,50,58,62,63,80,95,110,117,160,181,183,235],[1,2,3,6,10,13,24,26,27,37,50,
58,77,78,110,124,165,183,236],[1,2,3,6,10,13,17,22,24,26,50,58,66,69,110,118,
134,183,237],[1,3,4,5,8,9,10,13,16,18,32,34,38,40,42,43,46,51,54,57,61,93,94,
96,98,102,110,131,169,178,187,189,238],[1,3,4,7,8,9,10,13,20,23,32,34,38,40,
41,44,47,51,54,61,80,81,84,92,93,104,110,127,167,181,187,189,239],[1,2,5,7,8,
9,11,14,21,22,28,30,35,37,43,44,49,52,53,60,74,83,91,97,100,103,109,129,172,
182,186,188,240],[1,2,4,5,7,9,11,14,15,17,28,30,35,37,41,42,45,52,53,59,60,83,
86,89,90,99,109,128,171,179,186,188,241],[1,3,4,5,8,9,11,13,16,18,32,34,38,40,
42,43,45,48,49,52,53,57,61,93,94,96,98,102,111,116,119,120,122,125,126,128,
129,169,185,190,191,192,193,197,199,242],[1,2,4,5,7,9,10,14,15,17,28,30,35,37,
41,42,46,47,50,51,54,59,60,83,86,89,90,99,112,115,117,118,121,123,124,127,131,
171,184,194,195,196,198,200,201,243],[1,2,3,4,5,6,7,8,9,13,14,15,16,17,18,19,
20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,56,
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,
106,107,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,
149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,
168,169,170,171,172,173,174,205,206,207,208,209,210,211,212,213,214,215,216,
217,218,219,244],[1,3,4,8,10,11,12,13,32,40,45,48,49,51,61,108,110,111,114,
116,120,177,185,189,221,245],[1,3,5,10,11,12,13,16,18,46,48,52,57,108,110,111,
114,119,122,175,178,191,221,246],[1,3,9,10,11,12,13,34,38,48,53,54,55,93,108,
110,111,114,125,126,176,187,199,203,221,247],[1,2,5,7,10,11,12,14,30,35,46,47,
50,52,60,108,109,112,113,117,121,175,184,188,220,248],[1,2,4,10,11,12,14,15,
17,45,50,51,59,108,109,112,113,115,118,177,179,196,220,249],[1,2,9,10,11,12,
14,28,37,50,53,54,55,83,108,109,112,113,123,124,176,186,195,202,220,250],[1,2,
3,4,6,8,11,13,14,15,17,19,21,22,24,25,26,31,32,36,40,45,48,49,56,58,59,61,64,
66,67,69,73,74,76,79,87,88,109,111,116,120,132,134,135,151,153,154,164,179,
180,182,185,205,223,230,231,251],[1,2,3,5,6,7,10,13,14,16,18,19,20,23,24,25,
26,29,30,35,39,46,47,50,56,57,58,60,62,63,68,71,72,73,75,80,95,101,110,112,
117,121,132,133,136,144,150,160,163,178,181,183,184,206,224,234,235,252],[1,2,
3,4,6,8,10,13,14,15,17,19,21,22,24,25,26,31,32,36,40,50,51,56,58,59,61,64,66,
67,69,73,74,76,79,87,88,110,112,115,118,132,134,135,151,153,154,164,183,189,
196,205,224,232,237,253],[1,2,3,5,6,7,10,13,16,17,18,20,22,23,24,26,27,29,30,
37,46,47,50,57,58,66,68,69,71,72,75,77,78,80,86,100,110,118,121,124,134,146,
147,150,161,165,166,178,181,183,198,217,234,236,237,254],[1,2,3,6,9,11,13,14,
19,24,25,26,27,28,33,34,37,38,48,53,56,58,65,70,73,77,78,82,83,85,93,107,109,
111,125,126,132,137,138,139,145,148,165,180,186,199,211,223,227,228,255],[1,2,
3,5,6,7,11,13,14,16,18,19,20,23,24,25,26,29,30,35,39,48,52,56,57,58,60,62,63,
68,71,72,73,75,80,95,101,109,111,119,122,132,133,136,144,150,160,163,180,188,
191,206,223,226,229,256],[1,2,3,6,9,10,13,14,19,24,25,26,27,28,33,34,37,38,50,
54,56,58,65,70,73,77,78,82,83,85,93,107,110,112,123,124,132,137,138,139,145,
148,165,183,187,195,211,224,233,236,257],[1,2,3,4,6,8,11,14,15,16,17,21,22,23,
25,26,27,36,38,40,45,48,49,56,59,62,64,65,66,67,74,75,78,79,102,104,109,116,
119,126,133,146,148,152,154,157,158,179,180,182,197,215,228,229,231,258],[1,2,
3,4,5,6,7,8,9,11,14,15,17,18,20,21,22,25,26,28,29,30,33,34,35,36,37,39,40,41,
42,43,44,45,48,49,52,53,56,59,60,63,64,66,67,70,71,74,77,79,83,85,86,89,90,91,
92,97,98,99,100,101,103,106,109,116,122,125,128,129,136,139,141,149,154,156,
161,170,171,172,173,179,180,182,186,188,193,212,226,227,231,240,241,259],[1,2,
3,5,6,7,8,11,14,18,20,21,22,25,26,27,29,30,31,32,35,38,39,48,49,52,56,60,63,
65,69,71,74,76,78,84,88,96,101,105,109,120,122,126,136,143,147,148,159,162,
164,180,182,188,190,213,226,228,230,260],[1,2,3,6,8,9,11,14,16,21,22,23,25,26,
28,31,32,33,34,37,48,49,53,56,62,69,70,74,75,76,77,81,83,85,88,94,109,119,120,
125,133,139,140,142,155,164,166,180,182,186,192,216,227,229,230,261],[1,2,3,4,
5,6,7,8,9,10,13,15,16,18,20,21,23,24,26,28,29,30,31,32,33,34,36,38,40,41,42,
43,44,46,47,50,51,54,57,58,61,64,65,68,70,71,72,75,76,80,81,82,84,87,90,92,93,
94,96,98,102,103,104,106,110,115,121,123,127,131,135,137,142,149,150,158,159,
167,168,169,174,178,181,183,187,189,200,208,232,233,234,238,239,262],[1,2,3,4,
6,7,8,10,13,15,20,21,23,24,26,27,31,32,35,36,37,39,40,47,50,51,58,61,62,63,64,
76,77,78,80,87,95,97,99,105,110,115,117,124,135,140,143,156,157,160,165,181,
183,189,201,218,232,235,236,263],[1,2,3,6,7,9,10,13,17,20,22,23,24,26,28,33,
34,35,38,39,47,50,54,58,62,63,65,66,69,70,80,82,89,91,93,95,110,117,118,123,
134,137,141,152,155,160,162,181,183,187,194,209,233,235,237,264],[1,2,3,6,9,
12,13,14,19,24,25,26,27,28,33,34,37,38,55,56,58,65,70,73,77,78,82,83,85,93,
107,113,114,130,132,137,138,139,145,148,165,202,203,204,211,225,265],[1,2,3,6,
10,11,12,13,14,19,24,25,26,48,50,56,58,73,108,109,110,111,112,113,114,130,132,
180,183,220,221,223,224,225,266],[1,3,4,5,8,9,10,11,12,13,16,18,32,34,38,40,
42,43,45,46,48,49,51,52,53,54,55,57,61,93,94,96,98,102,108,110,111,114,116,
119,120,122,125,126,128,129,131,169,175,176,177,178,185,187,189,190,191,192,
193,197,199,203,221,222,238,242,245,246,247,267],[1,2,4,5,7,9,10,11,12,14,15,
17,28,30,35,37,41,42,45,46,47,50,51,52,53,54,55,59,60,83,86,89,90,99,108,109,
112,113,115,117,118,121,123,124,127,128,131,171,175,176,177,179,184,186,188,
194,195,196,198,200,201,202,220,222,241,243,248,249,250,268],[1,2,3,4,5,6,7,8,
9,10,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,
37,38,39,40,41,42,43,44,46,47,50,51,54,56,57,58,59,60,61,62,63,64,65,66,67,68,
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,
95,96,97,98,99,100,101,102,103,104,105,106,107,110,112,115,117,118,121,123,
124,127,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,
148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,
167,168,169,170,171,172,173,174,178,181,183,184,187,189,194,195,196,198,200,
201,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,224,232,233,
234,235,236,237,238,239,243,244,252,253,254,257,262,263,264,269],[1,2,3,4,5,6,
7,8,9,11,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,
36,37,38,39,40,41,42,43,44,45,48,49,52,53,56,57,58,59,60,61,62,63,64,65,66,67,
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,
94,95,96,97,98,99,100,101,102,103,104,105,106,107,109,111,116,119,120,122,125,
126,128,129,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,
148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,
167,168,169,170,171,172,173,174,179,180,182,185,186,188,190,191,192,193,197,
199,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,223,226,227,
228,229,230,231,240,241,242,244,251,255,256,258,259,260,261,270],[1,2,3,6,9,
10,11,12,13,14,19,24,25,26,27,28,33,34,37,38,48,50,53,54,55,56,58,65,70,73,77,
78,82,83,85,93,107,108,109,110,111,112,113,114,123,124,125,126,130,132,137,
138,139,145,148,165,176,180,183,186,187,195,199,202,203,204,211,220,221,223,
224,225,227,228,233,236,247,250,255,257,265,266,271],[1,2,3,4,6,8,10,11,12,13,
14,15,17,19,21,22,24,25,26,31,32,36,40,45,48,49,50,51,56,58,59,61,64,66,67,69,
73,74,76,79,87,88,108,109,110,111,112,113,114,115,116,118,120,130,132,134,135,
151,153,154,164,177,179,180,182,183,185,189,196,205,220,221,223,224,225,230,
231,232,237,245,249,251,253,266,272],[1,2,3,5,6,7,10,11,12,13,14,16,18,19,20,
23,24,25,26,29,30,35,39,46,47,48,50,52,56,57,58,60,62,63,68,71,72,73,75,80,95,
101,108,109,110,111,112,113,114,117,119,121,122,130,132,133,136,144,150,160,
163,175,178,180,181,183,184,188,191,206,220,221,223,224,225,226,229,234,235,
246,248,252,256,266,273],[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]],
0,[[1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,3,
1],[1,3,1],[1,1,2,1],[1,1,1],[1,1,1],[1,1,2,1],[1,3,1],[1,1,2,1],[1,1,2,1],[1,
1,1],[1,1,1],[1,1,2,1],[1,1,2,1],[1,1,1,1,1],[1,1,1],[1,1,2,1],[1,1,1,1,1],[1,
1,1,1,1],[1,1,2,1],[1,1,2,1],[1,1,2,1],[1,1,2,1],[1,1,2,1],[1,1,1,1,1],[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],[1,1,1,1,1],[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],[1,1,1,1],[1,1,1,1],[1,1,
1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,3,1,3,3,1],[1,3,2,1,1,1,1],[1,1,3,3,
1,3,3,1],[1,3,2,1,1,1,1],[1,3,1,3,1,3,3,1],[1,3,1,3,1,3,3,1],[1,1,1,1,2,1,1],[
1,1,1,1,4,2,1,2,2,1],[1,1,1,2,1,2,1,1,1,2,2,1],[1,1,1,1,1,2,1],[1,1,1,1,1,1,1,
1],[1,1,2,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,1,1,2,1,1],[1,1,1,1,4,1,2,2,2,1],[
1,1,1,2,1,2,1,1,1,2,2,1],[1,1,2,2,1,1,1,1],[1,1,1,5,2,2,2,1,1],[1,3,2,1,1,1,
1],[1,1,1,1,1,1,1,1],[1,1,1,1,4,2,1,2,2,1],[1,1,1,1,1,2,1],[1,1,1,1,1,2,1],[1,
1,2,2,1,1,1,1],[1,3,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,3,2,1,1,
1,1],[1,1,2,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,1,1,1,1,1,1],[1,1,1,2,3,1,2,1,2,
1,1],[1,1,2,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,2,1,1,2,1,1,1,2,2,1],[1,1,2,2,1,
1,1,1],[1,1,1,2,1,2,1,1,1,2,2,1],[1,3,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,2,2,1,
1,1,1],[1,1,2,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,1,2,1,2,1,1,1,2,2,1],[1,1,2,2,
1,1,1,1],[1,1,1,1,1,1,1,1],[1,1,1,2,3,1,2,1,1,2,1],[1,1,1,1,1,1,1,1],[1,1,1,1,
2,2,1,1,1,2,2,1],[1,1,1,1,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,1,1,1,1,2,1,1,1,1,1,
1,1,1],[1,3,2,1,1,1,1],[1,1,1,2,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,1,1,3,1],[1,3,
1,1,3,1],[1,3,4,1,1],[1,3,4,1,1],[1,1,2,1,1,1,2,1],[1,1,3,3,1,3,1,1,1,1],[1,1,
6,1,3,2,1,1],[1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,6,1,3,1,2,1],[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],[1,1,1,
3,1,1],[1,1,3,3,1,3,1,1,1,1],[1,3,1,3,1,3,1,1,1,1],[1,1,3,3,1,3,1,1,1,1],[1,3,
4,1,1],[1,1,3,3,1,3,1,1,1,1],[1,3,3,9,1,1,6,9,9,9,3,3,9,1],[1,3,1,3,1,1,3,3,3,
1,3,3,1],[1,1,3,3,1,1,3,3,3,1,3,3,1],[1,1,3,2,3,6,1,1,3,3,3,6,6,6,6,1,2,3,3,6,
1],[1,3,1,2,3,6,1,1,3,3,3,6,6,6,6,1,2,3,3,6,1],[1,1,3,3,4,1,3,3,2,2,2,2,1,1,1,
2,2,1],[1,1,1,5,4,2,2,2,1,2,2,2,2,1,1,1,4,1],[1,3,1,3,4,1,3,3,2,2,2,2,1,1,1,2,
2,1],[1,1,1,1,4,2,2,1,2,2,2,1,1,1,1],[1,1,1,1,4,4,1,2,1,1,2,2,2,2,2,1,1,1,2,2,
1],[1,1,1,1,4,4,1,2,1,1,2,2,2,2,2,1,1,1,2,2,1],[1,1,1,1,4,4,2,2,1,2,2,2,2,2,1,
1,1,4,1],[1,1,1,5,4,1,2,2,1,2,2,1,2,2,1,2,1,1,2,1],[1,1,1,5,2,2,2,1,2,2,1,1,1,
1],[1,1,1,1,1,1,1,1,1,2,1,1,1,1],[1,1,1,2,1,2,1,1,2,1,2,2,2,1,1,1,1],[1,3,1,3,
1,3,3,2,2,1,1,1,1],[1,1,1,2,2,1,2,2,4,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,1,1,1,2,
2,2,2,4,1],[1,1,3,2,3,2,1,1,1,1,1,3,3,2,2,1,1,1,1,1,1,1,1],[1,1,1,2,5,2,1,2,1,
2,2,2,1,2,2,1,2,1,1,2,1],[1,1,1,1,1,1,2,1,2,1,1,1,1],[1,1,1,5,4,1,2,2,1,2,2,1,
2,2,1,1,1,2,2,1],[1,3,1,2,3,2,1,1,1,1,1,3,3,2,2,1,1,1,1,1,1,1,1],[1,1,1,1,4,2,
2,1,2,2,2,1,1,1,1],[1,1,1,2,1,4,2,1,2,1,1,2,2,2,2,2,1,1,1,2,2,1],[1,1,1,2,1,2,
1,1,2,1,2,2,2,1,1,1,1],[1,1,1,2,1,2,1,1,1,1,1,2,2,2,1,1,1,2,2,1],[1,1,1,2,1,2,
4,1,1,2,1,2,2,2,2,2,1,1,1,2,2,1],[1,1,3,3,4,1,2,2,3,3,2,2,1,1,1,2,2,1],[1,1,1,
2,1,2,1,1,1,1,1,2,2,2,1,1,1,2,2,1],[1,1,1,1,4,2,2,1,2,2,2,1,1,1,1],[1,1,1,2,5,
2,1,2,1,2,2,2,1,2,2,1,2,1,1,2,1],[1,3,1,3,4,1,2,2,3,3,2,2,1,1,2,1,2,1],[1,1,3,
3,1,3,3,2,2,1,1,1,1],[1,1,1,1,1,2,1,1,2,1,1,1,1],[1,3,1,2,3,2,1,1,1,3,1,1,3,2,
2,1,1,1,1,1,1,1,1],[1,1,1,2,2,3,2,1,1,1,2,1,1,2,1,1,2,2,1,1,1,1,1,1,1,1],[1,3,
1,2,3,2,1,1,1,3,1,1,3,2,2,1,1,1,1,1,1,1,1],[1,1,1,2,3,2,2,1,1,1,1,2,1,1,1,2,2,
2,1,1,1,1,1,1,1,1],[1,3,2,1,3,2,1,1,1,1,3,3,1,2,2,1,1,1,1,1,1,1,1],[1,3,1,3,2,
2,1,1,1,1,3,3,1,2,2,1,1,1,1,1,1,1,1],[1,1,2,1,2,3,2,1,1,1,1,2,1,1,1,2,2,2,1,1,
1,1,1,1,1,1],[1,1,1,2,2,3,2,1,1,1,2,1,1,2,1,1,2,2,1,1,1,1,1,1,1,1],[1,3,1,1,2,
1,3,1,1],[1,9,1,1,2,3,3,6,1,1],[1,3,1,1,2,1,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,
3,6,4,1,3,3,4,3,1,1],[1,3,1,3,4,1,3,3,4,1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,6,
4,1,3,3,4,3,1,1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,3,3,9,1,1,9,9,1,3,3,3,1,3,3,1],[
1,3,3,9,1,1,9,9,1,3,3,3,1,3,3,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,
1],[1,3,1,3,4,1,3,3,4,1,1,1],[1,3,1,3,4,1,3,3,4,1,1,1],[1,1,2,6,1,1,3,3,1,2,2,
3,1,1,1,1],[1,3,2,1,1,1,1,3,2,1,1,1,1,1],[1,1,6,6,1,1,3,3,1,2,2,3,1,1,1,1],[1,
1,3,2,3,6,1,1,3,3,6,6,1,1,1,2,2,3,1,1,1,2,2,1],[1,1,6,6,1,1,3,3,2,1,2,3,1,1,1,
1],[1,3,6,1,1,3,3,3,2,3,1,1,1,1],[1,3,2,1,1,1,1,3,2,1,1,1,1,1],[1,1,3,3,1,1,3,
3,1,1,1,3,1,1,1,1],[1,1,3,3,1,1,3,3,1,1,1,3,1,1,1,1],[1,3,6,1,1,3,3,3,2,3,1,1,
1,1],[1,1,2,3,3,6,1,1,3,3,6,6,1,1,1,2,2,3,1,1,1,2,2,1],[1,1,2,6,1,1,3,3,2,1,2,
3,1,1,1,1],[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],[1,3,3,2,9,6,1,1,1,1,6,3,3,9,9,9,6,6,6,6,3,3,1,2,3,3,3,3,9,3,3,3,6,6,1,1,
1,3,3,3,3,1],[1,3,3,2,9,6,1,1,1,1,6,3,3,9,9,9,6,6,6,6,3,1,3,2,3,3,3,3,3,9,3,3,
6,6,1,1,1,3,3,3,3,1],[1,1,1,5,4,4,4,1,1,2,2,2,1,1,2,2,1,2,2,2,2,2,2,2,2,1,1,1,
2,1,1,1,1,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,3,2,2,3,2,6,4,1,1,1,1,1,3,1,
3,3,2,2,2,6,6,2,2,6,2,6,4,4,4,4,1,1,2,3,1,1,1,1,1,1,3,1,2,2,2,6,2,2,2,2,2,2,2,
2,2,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,3,3,4,4,1,1,2,3,2,3,3,2,2,2,2,2,2,1,1,1,1,
3,3,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,1,2,2,5,2,2,4,1,1,2,1,1,2,2,2,2,1,2,2,
2,2,2,2,2,2,4,4,4,4,1,1,2,2,1,1,1,1,1,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,3,3,
9,4,1,1,6,9,9,9,2,2,2,2,2,2,3,3,1,1,9,1,1,2,2,2,2,4,1,1,1,1,1,1,1,1],[1,3,1,2,
2,3,6,2,4,1,1,1,1,3,1,1,3,3,2,6,6,2,2,6,2,2,6,2,4,4,4,4,1,1,2,3,1,1,1,1,3,1,1,
1,2,2,2,2,2,2,2,2,2,2,2,6,2,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,3,1,2,3,6,4,1,1,3,2,
2,3,3,2,6,6,2,2,6,2,6,1,2,3,1,1,3,2,1,1,2,2,2,6,4,1,1,1,1,1,1,1,1],[1,1,1,2,5,
2,4,1,1,2,1,2,1,2,2,2,1,2,2,2,2,2,2,1,1,1,2,1,1,1,1,2,2,2,2,2,2,2,1,1,1,1,1,1,
1,1],[1,3,1,2,3,2,1,1,1,1,1,1,3,3,3,2,2,2,2,1,1,3,1,1,1,1,1,3,1,1,2,2,1,1,1,1,
1,1,1,1],[1,3,1,3,4,4,1,1,2,2,3,3,3,2,2,2,2,2,2,1,3,1,1,2,3,1,1,2,2,2,2,2,1,1,
1,1,1,1,1,1],[1,1,3,2,3,2,1,1,1,1,1,3,1,3,3,2,2,2,2,1,1,3,1,3,1,1,1,1,1,1,2,2,
1,1,1,1,1,1,1,1],[1,1,3,2,3,4,6,1,1,2,3,2,3,3,2,6,6,2,6,2,2,6,1,2,1,1,3,3,1,1,
2,6,2,2,2,4,1,1,1,1,1,1,1,1],[1,1,1,2,5,4,2,1,1,2,2,1,2,1,2,2,1,2,2,2,2,2,2,1,
1,1,2,1,2,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,1,4,8,1,3,4,1,1,2,1],[1,3,4,
1,8,1,3,4,1,1,2,1],[1,3,3,9,1,1,2,9,1,1,3,3,3,3,6,1,3,3,1,1,1,1],[1,3,3,9,4,1,
1,6,9,9,9,12,3,3,9,1,4,1,3,1],[1,3,3,9,4,1,1,6,9,9,9,12,3,3,9,1,4,1,3,1],[1,3,
3,9,16,1,1,6,9,9,9,3,3,9,4,4,12,1,1],[1,3,1,2,3,6,4,1,1,3,3,3,6,6,6,6,4,8,1,2,
3,3,6,1,4,1,1,2,1],[1,3,1,3,12,4,1,3,3,6,6,6,6,4,8,1,3,3,6,6,1,4,3,1,2,1],[1,
3,1,3,4,1,3,3,6,6,4,1,3,3,1,4,3,1,1],[1,3,1,3,4,1,1,3,3,3,4,1,3,3,1,4,1,1,1],[
1,3,1,3,12,4,1,6,6,3,3,6,6,4,8,1,3,6,3,6,1,4,3,1,2,1],[1,3,1,6,3,6,4,1,3,3,3,
3,3,3,6,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,3,2,3,6,4,1,1,3,3,3,6,6,6,6,
4,8,1,2,3,3,6,1,4,1,1,2,1],[1,1,3,3,12,4,1,3,3,6,6,6,6,4,8,1,3,3,6,6,1,4,3,1,
2,1],[1,1,3,6,3,6,4,1,3,3,3,3,3,3,6,6,4,4,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,
3,3,12,4,1,6,6,3,3,6,6,8,4,1,3,3,6,6,1,4,3,2,1,1],[1,1,3,3,4,1,3,3,6,6,4,1,3,
3,1,4,3,1,1],[1,1,3,3,4,1,1,3,3,3,4,1,3,3,1,4,1,1,1],[1,3,1,6,3,6,4,1,3,3,3,3,
3,3,6,6,4,4,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,3,1,6,3,6,4,1,3,3,3,3,3,3,6,6,4,
4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,3,1,3,6,6,4,1,3,3,3,3,3,3,6,6,4,4,4,1,3,3,
3,3,3,3,1,4,3,1,1,1,1],[1,3,6,1,3,6,4,1,3,3,3,3,3,3,6,6,4,4,4,3,1,3,3,3,3,3,1,
4,3,1,1,1,1],[1,3,3,2,9,6,1,1,1,1,9,3,3,9,6,6,1,3,3,2,2,1,3,3,3,3,3,3,1,3,1,3,
1,1,1,2,2,3,1,1,1,1,1,1,1,1],[1,3,2,3,9,6,1,1,1,1,3,9,9,3,6,6,1,3,3,2,2,1,3,3,
3,3,3,3,1,1,3,1,3,1,1,2,2,3,1,1,1,1,1,1,1,1],[1,3,3,2,2,9,6,6,4,1,1,1,1,1,1,6,
3,3,3,3,9,9,9,2,2,6,6,6,6,2,2,6,6,2,2,6,6,4,4,4,4,3,1,3,1,2,2,3,3,3,1,3,3,3,3,
1,3,3,9,3,3,3,1,1,3,3,2,2,2,2,2,2,6,6,2,2,2,2,2,2,6,2,2,2,2,2,6,2,2,2,4,4,4,1,
1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,3,3,1,3,3,1,1,1,1,1,3,1,1,3,3,1,1,2,2,2,2,2,
2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,3,3,9,4,1,8,1,9,9,1,3,3,12,3,4,1,1,
2,3,3,4,1,3,1,1],[1,3,6,4,1,8,1,3,3,4,3,6,3,4,1,1,2,3,3,4,1,3,1,1],[1,3,18,4,
1,8,1,9,9,3,6,12,24,9,4,1,1,2,3,3,4,3,3,6,1,1],[1,3,3,9,1,4,8,1,9,9,1,3,3,12,
3,4,1,1,2,3,3,4,1,3,1,1],[1,3,6,1,4,8,1,3,3,4,3,6,3,4,1,1,2,3,3,4,1,3,1,1],[1,
3,18,1,4,8,1,9,9,3,12,6,24,9,4,1,1,2,3,3,4,3,3,6,1,1],[1,3,3,6,9,18,4,1,1,3,3,
6,9,9,9,9,9,18,18,18,18,4,12,12,3,3,3,6,9,9,9,9,9,9,9,9,18,18,1,4,12,12,1,3,3,
9,9,9,9,1,3,3,4,3,1,3,3,1],[1,3,3,6,9,18,4,1,1,3,3,6,9,9,9,9,9,18,18,18,18,4,
12,12,3,3,3,6,9,9,9,9,9,9,9,9,18,18,1,4,12,12,1,3,3,9,9,9,9,1,3,3,4,3,1,3,3,
1],[1,3,3,2,9,6,4,1,1,1,1,6,3,3,9,9,9,6,6,6,6,12,8,3,3,1,2,3,3,3,3,9,3,3,3,6,
6,1,4,4,4,1,1,1,3,3,3,3,3,2,4,1,1,1,1,1],[1,1,3,6,3,6,4,1,3,1,3,3,3,3,3,3,6,6,
6,6,4,4,4,3,1,3,3,3,3,3,3,3,3,3,6,6,1,4,4,4,1,3,3,3,3,3,3,1,1,1,4,3,1,1,1,1],[
1,3,3,9,12,4,1,1,6,9,9,9,6,6,6,6,6,6,12,8,3,3,3,3,9,3,3,6,6,6,6,12,1,4,4,4,1,
3,3,3,3,3,3,3,2,4,3,1,1,1,1],[1,3,3,2,9,6,4,1,1,1,1,6,3,3,9,9,9,6,6,6,6,12,8,
3,1,3,2,3,3,3,3,3,9,3,3,6,6,1,4,4,4,1,1,1,3,3,3,3,3,2,4,1,1,1,1,1],[1,3,3,9,
12,4,1,1,6,9,9,9,6,6,6,6,6,6,12,8,3,3,3,3,9,3,3,6,6,6,6,12,1,4,4,4,1,3,3,3,3,
3,3,3,2,4,3,1,1,1,1],[1,3,1,6,3,6,4,1,3,1,3,3,3,3,3,3,6,6,6,6,4,4,4,1,3,3,3,3,
3,3,3,3,3,3,6,6,1,4,4,4,1,3,3,3,3,3,3,1,1,1,4,3,1,1,1,1],[1,3,1,6,2,3,6,6,12,
4,1,3,3,1,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,12,12,12,12,4,4,4,8,8,1,3,2,3,3,3,3,3,
3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,12,1,4,4,4,8,8,1,3,3,3,3,3,3,6,6,6,6,1,1,1,
2,2,4,3,1,1,1,2,2,1],[1,3,1,2,3,6,12,4,1,1,3,6,6,3,3,6,6,6,6,6,6,6,6,4,8,8,1,
2,3,3,3,3,6,3,3,6,6,6,6,12,1,4,4,4,1,3,3,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,3,1,3,
12,12,4,1,1,6,6,3,3,3,6,6,6,6,6,6,4,8,8,1,3,3,3,6,3,3,3,6,6,6,6,6,1,4,4,4,1,3,
3,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,1,3,2,6,3,6,6,12,4,1,1,3,3,3,3,3,3,3,6,6,6,6,
6,6,6,6,6,6,12,12,12,12,4,4,4,8,8,3,1,2,3,3,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,
6,6,6,12,1,4,4,4,8,8,1,3,3,3,3,3,3,6,6,6,6,1,1,1,2,2,4,3,1,1,1,2,2,1],[1,1,3,
2,3,12,6,4,1,1,6,3,6,3,3,6,6,6,6,6,6,6,6,8,4,8,1,2,3,3,3,3,3,3,6,6,6,6,6,12,1,
4,4,4,1,3,3,3,3,3,3,2,1,2,4,3,1,1,1,1],[1,1,3,3,12,12,4,1,1,6,3,6,3,3,6,6,6,6,
6,6,8,4,8,1,3,3,3,3,3,3,6,6,6,6,6,6,1,4,4,4,1,3,3,3,3,3,3,2,1,2,4,3,1,1,1,1],[
1,3,3,9,12,16,1,1,6,9,9,9,6,6,6,6,6,6,16,3,3,3,3,9,3,3,6,6,6,6,12,4,4,12,1,3,
3,3,3,3,3,4,4,4,3,1,1],[1,3,3,9,4,4,32,1,1,6,9,9,9,12,12,3,3,9,16,1,1,4,4,8,8,
24,1,3,3,4,4,1,1,2,1],[1,3,3,6,9,18,4,1,8,1,3,3,9,9,9,9,18,18,1,4,3,3,12,6,6,
12,24,3,3,9,9,9,9,9,4,1,1,2,3,3,3,3,3,3,6,6,12,9,4,4,4,1,1,3,3,3,3,3,3,3,3,6,
1,4,3,3,1,1,1,1],[1,3,6,3,9,18,1,4,8,1,3,3,9,9,9,9,18,18,4,1,3,3,6,12,12,6,24,
3,3,9,9,9,9,9,4,1,1,2,3,3,3,3,3,3,6,12,6,9,4,4,4,1,1,3,3,3,3,3,3,3,3,6,1,4,3,
3,1,1,1,1],[1,3,3,2,6,9,18,6,12,4,1,1,1,3,1,3,6,9,3,3,9,9,9,9,6,6,18,18,6,6,6,
6,18,6,6,6,18,6,12,12,12,12,4,12,12,8,8,3,3,3,1,6,2,9,9,3,3,3,3,9,3,3,9,9,9,3,
9,3,3,3,3,9,6,6,6,6,6,6,6,6,6,6,6,6,6,6,18,6,6,6,6,6,18,6,6,6,12,12,12,1,4,4,
12,4,12,4,4,8,8,1,3,1,1,3,3,3,3,3,3,3,3,9,3,3,3,3,3,9,3,3,3,3,3,3,3,3,3,9,3,3,
9,3,3,3,6,6,6,6,6,6,6,6,1,3,3,4,2,2,4,4,4,4,4,4,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
1,1,1,3,3,1,1,2,2,4,3,1,1,1,1,1,1,1,1],[1,3,3,6,2,9,6,18,12,4,1,1,3,1,3,1,6,3,
9,9,3,9,9,9,6,6,6,6,18,18,6,6,6,18,6,6,6,18,12,12,12,12,4,12,12,8,8,3,1,3,3,2,
6,3,3,9,3,9,9,3,9,3,3,3,9,9,3,9,3,3,9,3,6,6,6,6,6,6,18,18,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,12,12,12,1,4,12,4,12,4,4,4,8,8,1,1,3,3,1,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,9,3,9,9,3,3,3,3,3,3,3,3,3,9,3,3,6,6,6,6,6,6,6,6,1,3,3,4,2,2,4,4,4,4,4,4,3,
1,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,1,1,3,3,2,2,4,3,1,1,1,1,1,1,1,1],[1,3,3,9,
36,4,4,32,1,1,6,9,9,9,18,18,18,18,18,18,12,12,24,24,96,3,3,9,9,9,9,9,18,18,18,
18,36,16,1,1,4,4,8,8,12,12,12,12,24,1,9,9,9,9,9,9,16,3,3,6,6,12,12,24,24,24,9,
4,4,1,1,2,3,3,3,3,4,4,3,3,6,1,1],[1,3,3,6,9,18,4,4,32,1,1,3,3,6,9,9,9,9,9,18,
18,18,18,4,12,12,12,24,3,3,3,6,9,9,9,9,9,9,9,9,18,18,16,1,1,4,4,8,8,12,12,12,
12,24,1,3,3,9,9,9,9,16,1,3,3,3,4,6,12,3,4,4,1,1,2,3,3,3,3,4,4,1,3,1,1],[1,3,3,
6,9,18,4,4,32,1,1,3,3,6,9,9,9,9,9,18,18,18,18,4,12,12,12,24,3,3,3,6,9,9,9,9,9,
9,9,9,18,18,16,1,1,4,4,8,8,12,12,12,12,24,1,3,3,9,9,9,9,16,1,3,3,3,4,6,12,3,4,
4,1,1,2,3,3,3,3,4,4,1,3,1,1],[1,3,3,6,6,9,18,18,36,4,4,32,1,1,3,3,3,3,6,9,9,9,
9,9,9,9,18,18,18,18,18,18,18,18,18,18,18,18,18,18,36,36,36,36,4,4,12,12,12,12,
24,24,24,24,96,3,3,3,3,6,6,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,36,36,36,16,1,1,4,
4,8,8,12,12,12,12,12,12,12,12,12,12,12,12,24,24,24,24,24,1,3,3,3,3,9,9,9,9,9,
9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,18,18,18,18,18,18,18,18,16,
16,16,1,1,3,3,3,3,4,4,6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,12,24,24,24,3,
3,9,9,9,9,9,9,9,9,9,9,9,9,9,4,4,16,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,6,6,6,6,12,
12,9,4,4,4,4,4,4,1,1,3,3,3,3,3,3,3,3,3,3,3,3,6,1,4,4,3,3,1,1,1,1]],
[1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,6,6,6,6,6,6,6,6,6,6,6,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,9,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,16,16,16,16,16,16,16,16,
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,
16,16,16,16,16,16,16,16,16,18,18,18,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
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,
32,32,36,36,36,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,
64,72,72,72,72,72,72,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,144,144,144,
192,192,288,288,288,576],
[274,269,270,262,259,244,212,208,149,268,267,176,274,274,269,270,269,270,265,
244,244,244,244,244,244,244,207,212,212,212,218,208,210,208,212,208,212,208,
213,208,149,149,149,149,267,268,243,242,242,243,200,193,193,200,55,270,270,
269,269,259,262,244,244,244,244,244,244,244,244,244,244,244,244,244,244,244,
244,244,244,244,208,208,212,208,212,212,208,205,212,212,212,208,208,208,206,
208,212,208,212,212,212,208,212,208,143,149,138,222,274,274,267,268,250,247,
243,242,243,243,242,242,243,242,243,243,242,242,200,193,193,204,200,274,270,
269,269,270,244,244,244,244,244,244,244,244,244,244,244,244,244,244,244,244,
244,244,244,244,244,244,244,244,244,244,244,244,244,244,208,208,208,212,212,
212,212,208,222,222,222,274,274,270,269,270,269,268,267,259,262,259,262,242,
242,242,242,243,243,243,242,243,242,243,243,202,203,204,269,270,244,244,244,
244,244,244,244,244,244,244,244,244,244,268,267,222,274,274,271,270,270,270,
270,270,270,269,269,269,269,269,269,262,262,259,259,242,243,244,267,267,267,
268,268,268,274,274,269,269,270,270,269,270,270,270,270,269,269,269,265,274,
267,268,269,270,274,274,274,274],
[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,
1,1,1,1,1,1,11,10,10,1,11,1,1,1,11,10,12,1,3,1,2,1,1,1,1,1,1,1,2,3,1,1,1,3,1,
2,1,1,1,1,2,3,3,3,2,3,2,1,1,2,2,1,2,1,3,3,3,3,2,1,2,1,1,1,1,1,6,1,6,1,14,13,1,
1,14,13,1,11,10,1,1,11,10,1,10,10,11,11,10,11,11,19,10,1,1,1,1,1,3,6,2,6,2,3,
6,3,6,1,3,2,1,3,2,2,2,2,6,2,2,1,3,3,1,6,3,2,3,3,3,3,3,2,2,2,2,3,10,108,11,110,
109,14,110,109,13,10,11,109,110,14,13,48,3,48,11,50,50,2,11,10,48,10,50,113,
114,130,2,3,26,3,26,26,26,2,26,26,2,26,3,26,26,14,13,108,14,13,132,14,109,109,
14,109,109,13,110,110,110,110,13,110,110,109,109,48,50,26,111,110,221,112,109,
220,109,110,58,110,180,56,183,109,109,180,180,110,183,183,225,132,221,220,183,
180,266,223,224,266],
[( 1,20,40, 6)( 2,13)( 3,32,10,16)( 4,15,29, 9)( 5,38,12,33)( 7,22, 8,39)
(11,26)(14,34,21,27)(18,31,28,30)(19,24,37,36),( 1, 3,39,16,17,11)
( 2,25, 8,10,22,12)( 4, 9,24,30,14,27)( 5,13,26,40,38,20)( 6,32,23,35, 7,33)
(18,19)(28,29,36)(31,34,37)],
[[[[]]],[[[2,1,1,-1],[3,1,2,1,3,1,2,1]]],[[[2,1,1,-1,2,2,1,1,2,1]]],[[[2,
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2,1,1,1,2,-1,1,1,2,1]],[[2,1,1,-2,2,1]],[[2,2]]],[[[1,1,2,1,1,1]],[[2,1,1,-1,
2,-1]]],[[[2,1,1,-1,2,1,1,1]],[[1,-1,2,2]],[[1,-2]]],[[[1,-2]],[[1,1,2,
1]]],[[[2,1,1,1,2,1]],[[2,2]],[[1,-2]]],[[[1,1,2,2]],[[2,1,1,-1]]],[[[1,1,2,
-1,1,-2]],[[2,1,1,1]],[[2,-3]]],[[[1,1,2,2]],[[1,-1,2,-1]]],[[[2,-2,1,1]],[[2,
1,1,-1]]],[[[1,-2,2,1,1,1,2,1]],[[1,-1,2,1,1,1]],[[2,1,1,-2,2,1]]],[[[1,1,2,
-1,1,-1]],[[2,1,1,1,2,-1]],[[2,2]]],[[[1,-2,2,1,1,-1,2,-1]],[[2,1,1,-2,2,
1]],[[1,1,2,1,1,1]]],[[[2,1,1,-1,2,-1,1,-1]],[[2,2,1,1]],[[1,-2]]],[[[2,1,1,
-1,2,1,1,1]],[[1,-2]],[[2,-2]]],[[[1,-1,2,-1,1,1]],[[2,1,1,-1]]],[[[1,-2,2,
1]],[[1,-1,2,-1]]],[[[2,1,1,-1,2,-1,1,1,2,1]],[[2,1,1,-2,2,1]],[[1,-1]]],[[[1,
1,2,-2]],[[1,-1,2,1]],[[1,-2]]],[[[2,1,1,1,2,-1]],[[2,-2]],[[1,1]]],[[[1,-1,2,
-1,1,1]],[[1,-2]],[[2,1]]],[[[2,1,1,1]],[[1,-1,2,1]],[[1,1,2,1]]],[[[1,1]],[[
2,1]]]]);
LIBTOM( "2^6:(7xL2(8))",
[[1],[1,2],[1,3],[1,4],[1,2,5],[1,3,6],[1,2,7],[1,2,3,8],[1,2,9],[1,3,10],[1,
3,4,11],[1,12],[1,13],[1,14],[1,15],[1,16],[1,2,5,17],[1,3,6,18],[1,3,10,19],[
1,3,10,20],[1,2,7,21],[1,2,5,9,22],[1,2,3,5,8,23],[1,2,5,7,24],[1,2,5,9,25],[
1,2,5,9,26],[1,2,3,6,8,10,27],[1,2,3,8,10,28],[1,3,6,10,29],[1,2,3,7,8,9,30],[
1,4,31],[1,2,4,7,32],[1,3,14,33],[1,3,12,34],[1,2,13,35],[1,2,5,7,17,24,36],[
1,2,3,5,8,17,23,37],[1,2,5,9,17,22,25,26,38],[1,2,3,6,8,10,18,27,29,39],[1,2,
5,7,21,24,40],[1,2,3,5,7,8,9,22,23,24,30,41],[1,2,3,5,8,9,23,25,26,42],[1,2,5,
9,22,25,26,43],[1,2,5,7,9,22,24,25,44],[1,2,5,7,9,22,24,26,45],[1,2,5,9,22,25,
46],[1,2,5,9,25,26,47],[1,2,3,5,7,8,9,23,24,25,30,48],[1,2,3,5,8,9,22,23,25,
49],[1,2,3,5,6,8,10,23,27,28,50],[1,2,3,5,8,9,22,23,26,51],[1,2,3,5,7,8,9,23,
24,26,30,52],[1,2,5,7,9,24,25,26,53],[1,2,5,9,22,26,54],[1,2,3,6,8,10,19,20,
27,28,29,55],[1,3,4,11,31,56],[1,4,12,57],[1,2,3,4,7,8,9,11,30,32,58],[1,3,6,
12,34,59],[1,2,5,13,35,60],[1,2,5,7,17,21,24,36,40,61],[1,2,3,5,6,8,10,17,23,
27,28,37,50,62],[1,2,5,9,17,22,25,26,38,43,63],[1,2,5,7,9,17,22,24,25,26,36,
38,44,64],[1,2,3,5,8,9,17,22,23,25,26,37,38,49,65],[1,2,5,9,17,22,25,26,38,46,
66],[1,2,5,9,17,22,25,26,38,67],[1,2,3,5,8,9,17,22,23,25,26,37,38,42,68],[1,2,
5,9,17,22,25,26,38,47,69],[1,2,5,7,9,17,22,24,25,26,36,38,45,70],[1,2,3,5,8,9,
17,22,23,25,26,37,38,51,71],[1,2,5,7,9,17,22,24,25,26,36,38,53,72],[1,2,3,5,7,
8,9,17,22,23,24,25,26,30,36,37,38,41,48,52,73],[1,2,5,9,17,22,25,26,38,74],[1,
2,5,9,17,22,25,26,38,54,75],[1,2,3,5,6,8,10,18,19,20,23,27,28,29,39,50,55,
76],[1,2,3,5,7,8,9,21,22,23,24,25,26,30,40,41,44,45,48,52,53,77],[1,2,3,5,6,7,
8,9,10,22,23,24,25,26,27,28,30,41,42,48,49,50,51,52,78],[1,2,3,5,8,9,22,23,25,
26,42,43,46,47,49,51,54,79],[1,2,5,7,9,22,24,25,26,43,44,45,46,47,53,54,80],[
1,3,4,11,12,34,57,81],[1,2,4,5,7,21,24,32,40,82],[1,12,13,14,15,16,83],[1,2,5,
12,17,84],[1,3,6,13,18,85],[1,2,5,13,17,86],[1,3,6,13,18,87],[1,2,5,16,17,
88],[1,3,6,16,18,89],[1,3,6,15,18,90],[1,3,6,12,18,34,59,91],[1,2,5,16,17,
92],[1,3,6,15,18,93],[1,2,5,15,17,94],[1,3,6,16,18,95],[1,2,5,14,17,96],[1,3,
6,14,18,97],[1,2,5,13,17,35,60,98],[1,2,5,15,17,99],[1,3,10,14,20,100],[1,2,7,
15,21,101],[1,3,10,15,19,102],[1,4,12,31,57,103],[1,2,5,7,17,21,24,36,40,61,
104],[1,2,3,5,6,8,10,17,18,19,20,23,27,28,29,37,39,50,55,62,76,105],[1,2,5,9,
17,22,25,26,38,67,106],[1,2,5,9,17,22,25,26,38,74,107],[1,2,5,9,17,22,25,26,
38,43,63,108],[1,2,3,5,8,9,17,22,23,25,26,37,38,42,43,46,47,49,51,54,63,65,66,
68,69,71,75,79,109],[1,2,5,9,17,22,25,26,38,43,46,47,63,66,67,69,74,110],[1,2,
3,5,7,8,9,17,22,23,24,25,26,30,36,37,38,41,43,45,47,48,51,52,63,69,70,71,73,
111],[1,2,3,5,7,8,9,17,22,23,24,25,26,30,36,37,38,41,47,48,49,52,53,65,67,69,
72,73,112],[1,2,5,7,9,17,21,22,24,25,26,36,38,40,44,45,53,61,64,70,72,113],[1,
2,5,7,9,17,22,24,25,26,36,38,43,44,45,46,47,53,54,63,64,66,69,70,72,75,80,
114],[1,2,3,5,6,8,9,10,17,22,23,25,26,27,28,37,38,42,49,50,51,62,65,68,71,
115],[1,2,5,7,9,17,22,24,25,26,36,38,43,44,45,47,53,63,64,67,69,70,72,74,
116],[1,2,5,7,9,17,22,24,25,26,36,38,43,44,45,46,53,63,64,66,67,70,72,74,
117],[1,2,3,5,6,7,8,9,10,17,22,23,24,25,26,27,28,30,36,37,38,41,42,48,49,50,
51,52,62,65,68,71,73,78,118],[1,2,3,5,7,8,9,17,22,23,24,25,26,30,36,37,38,41,
42,43,46,48,52,53,63,66,68,72,73,119],[1,2,3,5,7,8,9,17,21,22,23,24,25,26,30,
36,37,38,40,41,44,45,48,52,53,61,64,70,72,73,77,120],[1,2,3,5,7,8,9,17,22,23,
24,25,26,30,36,37,38,41,45,46,48,49,52,65,66,70,73,74,121],[1,2,3,5,7,8,9,17,
22,23,24,25,26,30,36,37,38,41,42,45,48,52,54,67,68,70,73,75,122],[1,2,3,5,7,8,
9,17,22,23,24,25,26,30,36,37,38,41,48,51,52,53,54,71,72,73,74,75,123],[1,2,3,
5,8,9,17,22,23,25,26,37,38,42,46,47,49,51,54,65,66,67,68,69,71,75,124],[1,2,3,
5,8,9,17,22,23,25,26,37,38,42,43,46,49,51,63,65,66,67,68,71,74,125],[1,2,3,5,
7,8,9,17,22,23,24,25,26,30,36,37,38,41,44,46,48,51,52,64,66,67,71,73,126],[1,
2,3,5,8,9,17,22,23,25,26,37,38,42,43,49,51,54,63,65,67,68,71,74,75,127],[1,2,
5,7,9,17,22,24,25,26,36,38,44,45,46,47,53,54,64,66,67,69,70,72,75,128],[1,2,3,
5,7,8,9,17,22,23,24,25,26,30,36,37,38,41,42,44,47,48,52,64,68,69,73,74,129],[
1,2,3,5,8,9,17,22,23,25,26,37,38,42,43,47,49,51,63,65,67,68,69,71,74,130],[1,
2,3,5,8,9,17,22,23,25,26,37,38,42,46,47,49,51,54,65,66,68,69,71,74,75,131],[1,
2,5,7,9,17,22,24,25,26,36,38,44,45,46,47,53,54,64,66,69,70,72,74,75,132],[1,2,
5,7,9,17,22,24,25,26,36,38,43,44,45,53,54,63,64,67,70,72,74,75,133],[1,2,5,9,
17,22,25,26,38,43,46,54,63,66,67,74,75,134],[1,2,3,5,7,8,9,17,22,23,24,25,26,
30,36,37,38,41,43,44,48,49,52,54,63,64,65,73,75,135],[1,2,5,9,17,22,25,26,38,
43,47,54,63,67,69,74,75,136],[1,2,3,4,5,7,8,9,11,21,22,23,24,25,26,30,32,40,
41,44,45,48,52,53,58,77,82,137],[1,3,12,13,14,15,16,33,34,83,138],[1,2,3,6,8,
10,13,18,27,29,35,39,85,139],[1,2,3,5,8,12,17,23,34,37,84,140],[1,2,5,7,13,17,
24,35,36,86,141],[1,3,4,11,12,31,34,56,57,81,103,142],[1,2,3,5,7,8,9,17,21,22,
23,24,25,26,30,36,37,38,40,41,44,45,48,52,53,61,64,70,72,73,77,104,113,120,
143],[1,2,3,5,6,7,8,9,10,17,18,19,20,22,23,24,25,26,27,28,29,30,36,37,38,39,
41,42,48,49,50,51,52,55,62,65,68,71,73,76,78,105,115,118,144],[1,2,3,5,7,8,9,
17,21,22,23,24,25,26,30,36,37,38,40,41,42,43,44,45,46,47,48,52,53,54,61,63,64,
66,67,68,69,70,72,73,74,75,77,80,113,114,116,117,119,120,122,128,129,132,133,
145],[1,2,3,5,6,7,8,9,10,17,22,23,24,25,26,27,28,30,36,37,38,41,42,43,44,46,
47,48,49,50,51,52,54,62,63,64,65,66,67,68,69,71,73,74,75,78,79,109,115,118,
124,125,126,127,129,130,131,135,146],[1,2,3,5,6,7,8,9,10,17,21,22,23,24,25,26,
27,28,30,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,61,62,63,64,65,
66,67,68,69,70,71,72,73,74,75,77,78,111,112,118,119,120,121,122,123,126,129,
135,147],[1,2,3,5,6,7,8,9,10,17,22,23,24,25,26,27,28,30,36,37,38,41,42,43,45,
46,47,48,49,50,51,52,54,62,63,65,66,67,68,69,70,71,73,74,75,78,79,109,111,115,
118,121,122,124,125,127,130,131,148],[1,2,3,5,7,8,9,17,21,22,23,24,25,26,30,
36,37,38,40,41,43,44,45,46,47,48,51,52,53,54,61,63,64,66,67,69,70,71,72,73,74,
75,77,80,111,113,114,116,117,120,123,126,128,132,133,149],[1,2,3,5,7,8,9,17,
22,23,24,25,26,30,36,37,38,41,42,43,44,45,46,47,48,49,51,52,53,54,63,64,65,66,
67,68,69,70,71,72,73,74,75,79,80,109,110,114,117,119,121,124,125,126,128,131,
132,134,150],[1,2,3,5,7,8,9,17,21,22,23,24,25,26,30,36,37,38,40,41,43,44,45,
46,47,48,49,52,53,54,61,63,64,65,66,67,69,70,72,73,74,75,77,80,112,113,114,
116,117,120,121,128,132,133,135,151],[1,2,3,5,7,8,9,17,22,23,24,25,26,30,36,
37,38,41,42,43,44,45,46,47,48,49,51,52,53,54,63,64,65,66,67,68,69,70,71,72,73,
74,75,79,80,109,114,122,123,124,127,128,131,132,133,134,135,136,152],[1,2,3,5,
7,8,9,17,22,23,24,25,26,30,36,37,38,41,42,43,44,45,46,47,48,49,51,52,53,54,63,
64,65,66,67,68,69,70,71,72,73,74,75,106,110,112,116,117,122,124,125,126,127,
128,130,133,134,136,153],[1,2,3,5,7,8,9,17,22,23,24,25,26,30,36,37,38,41,42,
43,44,45,46,47,48,49,51,52,53,54,63,64,65,66,67,68,69,70,71,72,73,74,75,79,80,
108,109,110,111,114,116,117,119,125,127,130,133,134,135,136,154],[1,2,3,5,7,8,
9,17,22,23,24,25,26,30,36,37,38,41,42,43,44,45,46,47,48,49,51,52,53,54,63,64,
65,66,67,68,69,70,71,72,73,74,75,107,110,116,117,121,123,125,127,129,130,131,
132,133,134,136,155],[1,2,3,5,6,7,8,9,10,17,22,23,24,25,26,27,28,30,36,37,38,
41,42,43,46,47,48,49,50,51,52,53,54,62,63,65,66,67,68,69,71,72,73,74,75,78,79,
109,112,115,118,119,123,124,125,127,130,131,156],[1,2,3,5,7,8,9,17,22,23,24,
25,26,30,36,37,38,41,42,43,44,45,46,47,48,49,51,52,53,54,63,64,65,66,67,68,69,
70,71,72,73,74,75,79,80,109,110,111,112,114,116,124,128,129,130,131,132,136,
157],[1,2,4,5,7,17,21,24,32,36,40,61,82,104,158],[1,2,3,5,6,8,10,12,17,23,27,
28,34,37,50,59,62,84,140,159],[1,2,3,5,6,8,10,13,18,19,20,23,27,28,29,35,39,
50,55,60,76,85,139,160],[1,2,5,7,13,17,21,24,35,36,40,60,61,86,141,161],[1,2,
3,5,6,7,8,9,10,17,18,19,20,21,22,23,24,25,26,27,28,29,30,36,37,38,39,40,41,42,
43,44,45,46,47,48,49,50,51,52,53,54,55,61,62,63,64,65,66,67,68,69,70,71,72,73,
74,75,76,77,78,79,105,109,111,112,115,118,119,120,121,122,123,124,125,126,127,
129,130,131,135,144,146,147,148,156,162],[1,2,3,5,6,7,8,9,10,17,21,22,23,24,
25,26,27,28,30,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,61,62,63,
64,65,66,67,68,69,70,71,72,73,74,75,77,78,80,104,111,112,113,114,116,117,118,
119,120,121,122,123,126,128,129,132,133,135,143,145,147,149,151,163],[1,2,3,5,
6,7,8,9,10,17,21,22,23,24,25,26,27,28,30,36,37,38,40,41,42,43,44,45,46,47,48,
49,50,51,52,53,54,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,
106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,
125,126,127,128,129,130,131,132,133,134,135,136,145,146,147,148,149,150,151,
152,153,154,155,156,157,164],[1,2,3,4,5,7,8,9,11,17,21,22,23,24,25,26,30,32,
36,37,38,40,41,44,45,48,52,53,58,61,64,70,72,73,77,82,104,113,120,137,143,158,
165],[1,2,5,12,13,14,15,16,17,35,60,83,84,86,88,92,94,96,98,99,166],[1,3,6,12,
13,14,15,16,18,34,59,83,85,87,89,90,91,93,95,97,167],[1,2,5,7,12,17,21,24,36,
40,61,84,104,168],[1,2,3,5,6,8,10,13,17,18,19,20,23,27,28,29,37,39,50,55,62,
76,86,87,105,169],[1,2,5,7,14,17,21,24,36,40,61,96,104,170],[1,2,5,7,16,17,21,
24,36,40,61,88,92,104,171],[1,2,3,5,6,8,10,14,17,18,19,20,23,27,28,29,37,39,
50,55,62,76,96,97,100,105,172],[1,2,3,5,6,8,10,15,17,18,19,20,23,27,28,29,37,
39,50,55,62,76,93,99,102,105,173],[1,2,3,5,6,8,10,15,17,18,19,20,23,27,28,29,
37,39,50,55,62,76,90,94,105,174],[1,2,3,5,6,8,10,12,17,18,19,20,23,27,28,29,
34,37,39,50,55,59,62,76,84,91,105,140,159,175],[1,2,3,5,6,8,10,13,17,18,19,20,
23,27,28,29,35,37,39,50,55,60,62,76,85,98,105,139,160,176],[1,2,5,7,15,17,21,
24,36,40,61,94,99,101,104,177],[1,2,3,5,6,8,10,16,17,18,19,20,23,27,28,29,37,
39,50,55,62,76,92,95,105,178],[1,2,3,5,6,8,10,16,17,18,19,20,23,27,28,29,37,
39,50,55,62,76,88,89,105,179],[1,2,5,7,13,17,21,24,35,36,40,60,61,86,98,104,
141,161,180],[1,2,5,9,16,17,22,25,26,38,74,92,107,181],[1,2,5,9,16,17,22,25,
26,38,67,88,106,182],[1,2,5,9,15,17,22,25,26,38,43,63,99,108,183],[1,3,4,6,11,
14,18,31,33,56,97,184],[1,3,4,10,11,14,20,31,33,56,100,185],[1,2,3,5,6,7,8,9,
10,17,18,19,20,21,22,23,24,25,26,27,28,29,30,36,37,38,39,40,41,42,43,44,45,46,
47,48,49,50,51,52,53,54,55,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,
78,79,80,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,
121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,143,144,145,
146,147,148,149,150,151,152,153,154,155,156,157,162,163,164,186],[1,2,4,5,7,
17,21,24,31,32,36,40,61,82,104,158,187],[1,2,3,5,7,8,9,14,17,21,22,23,24,25,
26,30,33,36,37,38,40,41,44,45,48,52,53,61,64,70,72,73,77,96,104,113,120,143,
170,188],[1,2,3,5,6,7,8,9,10,13,17,18,19,20,22,23,24,25,26,27,28,29,30,35,36,
37,38,39,41,42,48,49,50,51,52,55,62,65,68,71,73,76,78,86,87,105,115,118,141,
144,169,189],[1,2,3,5,7,8,9,12,17,21,22,23,24,25,26,30,34,36,37,38,40,41,44,
45,48,52,53,61,64,70,72,73,77,84,104,113,120,140,143,168,190],[1,2,3,4,5,7,8,
9,11,17,21,22,23,24,25,26,30,31,32,36,37,38,40,41,44,45,48,52,53,56,58,61,64,
70,72,73,77,82,104,113,120,137,143,158,165,187,191],[1,2,4,5,7,12,17,21,24,32,
36,40,57,61,82,84,104,158,168,192],[1,2,3,5,6,7,8,9,10,12,17,21,22,23,24,25,
26,27,28,30,34,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,59,61,62,
63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,80,84,104,111,112,113,114,116,
117,118,119,120,121,122,123,126,128,129,132,133,135,140,143,145,147,149,151,
159,163,168,190,193],[1,2,3,5,6,7,8,9,10,13,17,18,19,20,21,22,23,24,25,26,27,
28,29,30,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,60,61,
62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,86,87,105,109,111,112,
115,118,119,120,121,122,123,124,125,126,127,129,130,131,135,141,144,146,147,
148,156,161,162,169,189,194],[1,2,3,4,5,7,8,9,11,12,17,21,22,23,24,25,26,30,
32,34,36,37,38,40,41,44,45,48,52,53,57,58,61,64,70,72,73,77,81,82,84,104,113,
120,137,140,143,158,165,168,190,192,195],[1,2,5,7,12,13,14,15,16,17,21,24,35,
36,40,60,61,83,84,86,88,92,94,96,98,99,101,104,141,161,166,168,170,171,177,
180,196],[1,2,3,5,6,8,10,12,13,14,15,16,17,18,19,20,23,27,28,29,34,35,37,39,
50,55,59,60,62,76,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,102,
105,139,140,159,160,166,167,169,172,173,174,175,176,178,179,197],[1,3,4,6,11,
12,13,14,15,16,18,31,33,34,56,57,59,81,83,85,87,89,90,91,93,95,97,103,138,142,
167,184,198],[1,2,3,5,6,7,8,9,10,13,17,18,19,20,21,22,23,24,25,26,27,28,29,30,
35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,60,61,62,63,64,
65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,85,86,98,104,105,106,107,108,
109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,
128,129,130,131,132,133,134,135,136,139,141,143,144,145,146,147,148,149,150,
151,152,153,154,155,156,157,160,161,162,163,164,176,180,186,199],[1,2,3,5,6,7,
8,9,10,15,17,18,19,20,21,22,23,24,25,26,27,28,29,30,36,37,38,39,40,41,42,43,
44,45,46,47,48,49,50,51,52,53,54,55,61,62,63,64,65,66,67,68,69,70,71,72,73,74,
75,76,77,78,79,80,90,94,99,101,104,105,106,107,108,109,110,111,112,113,114,
115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,
134,135,136,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,162,
163,164,174,177,186,200],[1,2,3,5,6,7,8,9,10,13,17,18,19,20,21,22,23,24,25,26,
27,28,29,30,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,60,
61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,86,87,98,104,105,
106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,
125,126,127,128,129,130,131,132,133,134,135,136,141,143,144,145,146,147,148,
149,150,151,152,153,154,155,156,157,161,162,163,164,169,180,186,189,194,201],[
1,2,3,5,6,7,8,9,10,12,17,18,19,20,21,22,23,24,25,26,27,28,29,30,34,36,37,38,
39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,59,61,62,63,64,65,66,67,68,
69,70,71,72,73,74,75,76,77,78,79,80,84,91,104,105,106,107,108,109,110,111,112,
113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,
132,133,134,135,136,140,143,144,145,146,147,148,149,150,151,152,153,154,155,
156,157,159,162,163,164,168,175,186,190,193,202],[1,2,3,5,6,7,8,9,10,16,17,18,
19,20,21,22,23,24,25,26,27,28,29,30,36,37,38,39,40,41,42,43,44,45,46,47,48,49,
50,51,52,53,54,55,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,
88,92,95,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,
121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,143,144,145,
146,147,148,149,150,151,152,153,154,155,156,157,162,163,164,171,178,181,186,
203],[1,2,3,5,6,7,8,9,10,14,17,18,19,20,21,22,23,24,25,26,27,28,29,30,36,37,
38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,61,62,63,64,65,66,67,68,
69,70,71,72,73,74,75,76,77,78,79,80,96,97,100,104,105,106,107,108,109,110,111,
112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,
131,132,133,134,135,136,143,144,145,146,147,148,149,150,151,152,153,154,155,
156,157,162,163,164,170,172,186,204],[1,2,3,5,6,7,8,9,10,15,17,18,19,20,21,22,
23,24,25,26,27,28,29,30,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,
54,55,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,93,94,99,
101,102,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,
121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,143,144,145,
146,147,148,149,150,151,152,153,154,155,156,157,162,163,164,173,177,183,186,
205],[1,2,3,5,6,7,8,9,10,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,36,37,
38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,61,62,63,64,65,66,67,68,
69,70,71,72,73,74,75,76,77,78,79,80,88,89,92,104,105,106,107,108,109,110,111,
112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,
131,132,133,134,135,136,143,144,145,146,147,148,149,150,151,152,153,154,155,
156,157,162,163,164,171,179,182,186,206],[1,2,4,5,7,12,17,21,24,31,32,36,40,
57,61,82,84,103,104,158,168,187,192,207],[1,2,3,5,7,8,9,12,13,14,15,16,17,21,
22,23,24,25,26,30,33,34,35,36,37,38,40,41,44,45,48,52,53,60,61,64,70,72,73,77,
83,84,86,88,92,94,96,98,99,101,104,113,120,138,140,141,143,161,166,168,170,
171,177,180,188,190,196,208],[1,2,3,4,5,7,8,9,11,12,17,21,22,23,24,25,26,30,
31,32,34,36,37,38,40,41,44,45,48,52,53,56,57,58,61,64,70,72,73,77,81,82,84,
103,104,113,120,137,140,142,143,158,165,168,187,190,191,192,195,207,209],[1,2,
3,5,6,7,8,9,10,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,34,35,
36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,59,60,61,62,63,64,
65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,83,84,85,86,87,88,89,90,91,92,
93,94,95,96,97,98,99,100,101,102,104,105,106,107,108,109,110,111,112,113,114,
115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,
134,135,136,139,140,141,143,144,145,146,147,148,149,150,151,152,153,154,155,
156,157,159,160,161,162,163,164,166,167,168,169,170,171,172,173,174,175,176,
177,178,179,180,181,182,183,186,189,190,193,194,196,197,199,200,201,202,203,
204,205,206,210],[1,2,3,4,5,6,7,8,9,10,11,14,17,18,19,20,21,22,23,24,25,26,27,
28,29,30,31,32,33,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,
56,58,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,82,96,97,
100,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,
122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,143,144,145,
146,147,148,149,150,151,152,153,154,155,156,157,158,162,163,164,165,170,172,
184,185,186,187,188,191,204,211],[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]],
0,[[1],[1,1],[1,1],[1,1],[1,3,1],[1,3,1],[1,3,1],[1,1,2,1],[1,1,1],[1,3,1],[1,
3,1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,7,7,1],[1,7,7,1],[1,7,7,1],[1,7,7,1],[
1,7,7,1],[1,3,1,2,1],[1,3,4,1,6,1],[1,7,1,6,1],[1,3,1,2,1],[1,3,1,2,1],[1,1,6,
1,3,3,1],[1,1,6,3,4,1],[1,7,1,6,1],[1,3,2,1,1,1,1],[1,1,1],[1,3,4,1,1],[1,7,1,
1],[1,1,1,1],[1,1,1,1],[1,15,7,28,1,14,1],[1,7,8,7,28,1,14,1],[1,7,7,4,1,2,2,
2,1],[1,1,14,7,7,21,1,7,7,1],[1,15,3,32,6,9,1],[1,7,4,1,6,6,2,1,1,1,4,1],[1,3,
4,1,6,4,1,1,1,1],[1,3,1,6,1,1,1,1],[1,7,1,6,4,1,1,1,1],[1,7,1,6,4,1,1,1,1],[1,
3,1,6,2,1,1],[1,3,1,6,2,1,1],[1,7,4,1,6,6,2,1,1,1,4,1],[1,3,4,1,6,4,1,1,1,1],[
1,3,12,1,2,18,14,3,6,6,1],[1,3,4,1,6,4,1,1,1,1],[1,7,4,1,6,6,2,1,1,1,4,1],[1,
7,1,6,4,1,1,1,1],[1,3,1,6,1,2,1],[1,1,14,3,7,25,1,1,3,4,6,1],[1,9,1,3,1,1],[1,
1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,1,1,3,1],[1,3,1,1,3,1],[1,31,15,140,1,56,
98,3,28,1],[1,7,24,7,8,84,56,1,42,56,56,3,28,1],[1,7,7,12,1,6,6,6,3,4,1],[1,
15,7,28,8,1,4,14,4,4,1,2,4,1],[1,7,8,7,28,8,1,4,14,4,4,1,2,4,1],[1,7,7,12,1,6,
6,6,3,4,1],[1,7,7,12,1,6,6,6,3,1],[1,7,8,7,28,8,1,4,14,4,4,1,2,4,1],[1,7,7,12,
1,6,6,6,3,4,1],[1,15,7,28,8,1,4,14,4,4,1,2,4,1],[1,7,8,7,28,8,1,4,14,4,4,1,2,
4,1],[1,15,7,28,8,1,4,14,4,4,1,2,4,1],[1,15,8,7,28,28,4,1,2,14,14,2,2,16,1,1,
1,4,4,4,1],[1,7,7,12,1,6,6,6,3,1],[1,7,7,12,1,6,6,6,3,4,1],[1,3,28,1,14,42,98,
1,7,7,7,42,42,49,3,7,21,1],[1,15,4,3,32,6,6,6,1,1,9,1,1,12,1,1,1,1,1,1,1,1],[
1,7,12,1,2,6,18,6,14,1,3,1,1,1,6,6,12,1,1,1,1,1,1,1,1],[1,3,4,1,6,12,2,1,2,2,
1,1,1,1,1,1,1,1],[1,7,1,6,12,2,1,2,2,1,1,1,1,1,1,1,1],[1,3,1,1,1,3,1,1],[1,15,
16,3,32,6,9,20,1,1],[1,1,2,1,2,2,1],[1,7,7,8,1,1],[1,7,7,8,1,1],[1,7,7,8,1,
1],[1,7,7,8,1,1],[1,7,7,8,1,1],[1,7,7,8,1,1],[1,7,7,8,1,1],[1,7,7,1,1,7,7,1],[
1,7,7,8,1,1],[1,7,7,8,1,1],[1,7,7,8,1,1],[1,7,7,8,1,1],[1,7,7,8,1,1],[1,7,7,8,
1,1],[1,7,7,1,1,7,7,1],[1,7,7,8,1,1],[1,7,7,8,1,1],[1,7,7,8,1,1],[1,7,7,8,1,
1],[1,1,1,1,1,1],[1,63,63,588,9,504,882,63,588,63,1],[1,7,56,7,56,196,392,1,8,
56,56,98,392,392,392,7,56,196,392,7,56,1],[1,7,7,28,1,14,14,14,7,7,1],[1,7,7,
28,1,14,14,14,7,7,1],[1,7,7,28,1,14,14,14,7,28,7,1],[1,7,8,7,28,24,1,12,14,12,
12,1,6,4,4,4,4,4,4,4,1,1,1,1,1,1,1,8,1],[1,7,7,28,1,14,14,14,7,4,4,12,1,1,1,3,
1,1],[1,15,8,7,28,28,20,1,10,14,14,10,10,16,1,1,5,4,4,8,4,4,8,4,1,1,2,2,1,1],[
1,15,8,7,28,28,20,1,10,14,14,10,10,16,1,1,5,4,4,4,8,4,8,2,1,1,2,1,1],[1,31,15,
140,16,1,56,8,98,8,8,3,4,28,8,8,8,1,2,2,2,1],[1,15,7,28,24,1,12,14,12,12,1,6,
4,4,4,4,4,4,4,1,1,1,1,1,1,1,8,1],[1,7,24,7,8,84,16,56,1,8,42,8,8,56,56,3,4,8,
8,28,8,1,2,2,2,1],[1,15,7,28,24,1,12,14,12,12,1,6,4,4,4,4,4,1,1,1,1,1,1,1,1],[
1,15,7,28,24,1,12,14,12,12,1,6,4,4,4,4,4,1,1,1,1,1,1,1,1],[1,15,24,7,8,28,84,
12,56,1,6,42,14,6,6,56,56,48,1,3,3,12,4,12,4,28,4,12,1,1,1,1,3,8,1],[1,15,8,7,
28,28,20,1,10,14,14,10,10,16,1,1,5,4,8,4,4,4,4,8,1,1,2,2,1,1],[1,31,8,15,140,
28,12,1,56,6,14,98,6,6,48,3,1,3,28,12,4,4,12,12,4,1,1,1,1,3,8,1],[1,15,8,7,28,
28,20,1,10,14,14,10,10,16,1,1,5,4,8,4,4,8,4,2,1,2,1,1,1],[1,15,8,7,28,28,20,1,
10,14,14,10,10,16,1,1,5,4,8,8,4,4,4,1,2,2,1,1,1],[1,15,8,7,28,28,20,1,10,14,
14,10,10,16,1,1,5,4,4,8,4,8,4,2,2,1,1,1,1],[1,7,8,7,28,24,1,12,14,12,12,1,6,4,
4,4,4,4,4,1,1,1,1,1,1,1,1],[1,7,8,7,28,24,1,12,14,12,12,1,6,4,4,4,4,4,1,1,1,1,
1,1,1,1],[1,15,8,7,28,28,20,1,10,14,14,10,10,16,1,1,5,4,8,4,4,8,4,2,1,1,2,1,
1],[1,7,8,7,28,24,1,12,14,12,12,1,6,4,4,4,4,4,1,1,1,1,1,1,1,1],[1,15,7,28,24,
1,12,14,12,12,1,6,4,4,4,4,4,4,1,1,1,1,1,1,1,1],[1,15,8,7,28,28,20,1,10,14,14,
10,10,16,1,1,5,4,8,8,4,4,4,2,2,1,1,1,1],[1,7,8,7,28,24,1,12,14,12,12,1,6,4,4,
4,4,4,1,1,1,1,1,1,1,1],[1,7,8,7,28,24,1,12,14,12,12,1,6,4,4,4,4,4,4,1,1,1,1,1,
1,1,1],[1,15,7,28,24,1,12,14,12,12,1,6,4,4,4,4,4,4,1,1,1,1,1,1,1,1],[1,15,7,
28,24,1,12,14,12,12,1,6,4,4,4,4,4,1,1,1,1,1,1,1,1],[1,7,7,28,1,14,14,14,7,4,
12,4,1,3,1,1,1,1],[1,15,8,7,28,28,20,1,10,14,14,10,10,16,1,1,5,4,4,8,4,8,4,4,
1,2,2,1,1,1],[1,7,7,28,1,14,14,14,7,4,4,12,1,1,1,1,3,1],[1,15,12,16,3,32,18,
18,16,6,3,3,9,3,3,36,20,1,3,3,3,3,3,3,12,3,1,1],[1,7,1,2,1,2,2,1,7,1,1],[1,1,
14,7,7,21,8,1,7,7,8,1,1,1],[1,7,8,7,28,8,1,14,8,1,1,1],[1,15,7,28,8,1,14,8,1,
1,1],[1,9,1,3,1,1,9,1,1,3,1,1],[1,63,8,63,588,28,28,9,504,14,14,882,14,14,112,
63,1,7,588,28,28,28,28,28,28,63,7,7,7,7,56,1,7,7,1],[1,15,56,7,56,28,196,28,
392,1,8,56,56,14,98,14,14,14,392,392,392,112,1,7,7,56,28,28,28,28,196,28,28,
392,7,7,7,7,7,56,56,1,7,7,1],[1,31,8,15,140,28,44,1,56,22,14,98,22,22,48,3,1,
11,28,12,16,8,20,20,8,8,12,12,20,8,1,2,5,2,2,4,2,5,5,3,2,2,8,8,2,1,1,1,2,1,2,
1,2,1,1,1],[1,15,24,7,8,28,84,44,56,1,22,42,14,22,22,56,56,48,1,3,11,12,20,8,
16,8,8,12,20,28,20,12,8,1,2,4,5,2,2,5,2,5,3,2,2,8,8,1,2,1,1,1,2,1,2,1,1,2,1],[
1,31,24,15,8,140,84,36,56,1,56,18,42,98,18,18,56,56,144,3,3,9,28,36,12,4,12,
12,4,4,36,12,28,12,36,12,4,1,1,1,3,3,1,1,3,1,3,3,3,9,1,1,24,24,1,1,3,1,3,1,1,
1,1,1,1,1],[1,15,24,7,8,28,84,44,56,1,22,42,14,22,22,56,56,48,1,3,11,12,20,8,
16,8,8,12,20,28,20,12,8,1,2,5,2,2,5,2,4,5,3,2,2,8,8,1,2,2,1,2,2,1,1,1,1,1,1],[
1,31,8,15,140,28,44,1,56,22,14,98,22,22,48,3,1,11,28,12,8,20,20,8,8,12,16,12,
20,8,1,2,5,2,2,2,5,4,5,3,2,2,8,8,2,2,1,1,1,1,2,2,1,1,1,1],[1,15,8,7,28,28,52,
1,26,14,14,26,26,16,1,1,13,4,8,12,8,8,28,12,4,8,8,4,8,12,3,2,2,7,3,2,3,2,2,2,
1,3,3,8,8,1,1,1,1,1,1,1,1,1,1,1,1,3,1],[1,31,8,15,140,28,44,1,56,22,14,98,22,
22,48,3,1,11,28,12,8,20,20,8,8,12,16,12,20,8,1,2,5,4,2,2,2,5,5,3,2,2,8,8,2,2,
1,1,1,1,2,1,1,1,2,1],[1,15,8,7,28,28,52,1,26,14,14,26,26,16,1,1,13,4,8,12,8,8,
12,12,4,8,8,4,8,28,3,2,2,3,3,2,3,2,2,2,1,3,7,8,8,1,1,1,1,1,1,1,1,1,1,1,1,3,
1],[1,15,8,7,28,28,52,1,26,14,14,26,26,16,1,1,13,4,8,12,8,8,12,12,4,8,8,4,8,
12,3,2,2,3,7,2,3,2,2,2,1,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,15,8,7,28,28,
52,1,26,14,14,26,26,16,1,1,13,4,8,28,8,8,12,12,4,8,8,4,8,12,7,2,2,3,3,2,3,2,2,
2,1,3,3,8,8,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,15,8,7,28,28,52,1,26,14,14,26,
26,16,1,1,13,4,8,12,8,8,12,12,4,8,8,4,8,12,3,2,2,3,3,2,3,2,2,2,1,7,3,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1],[1,15,24,7,8,28,84,44,56,1,22,42,14,22,22,56,56,48,1,
3,11,12,20,8,8,8,12,20,28,20,12,16,8,1,2,5,2,2,5,2,5,4,3,2,2,8,8,1,2,2,1,2,2,
1,1,1,1,1,1],[1,15,8,7,28,28,52,1,26,14,14,26,26,16,1,1,13,4,8,12,8,8,12,28,4,
8,8,4,8,12,3,2,2,3,3,2,7,2,2,2,1,3,3,8,8,1,3,1,1,1,1,1,1,1,1,1,1,1,1],[1,63,
64,63,588,9,504,882,336,63,588,63,84,1,1],[1,7,24,7,8,84,56,8,1,42,56,56,24,3,
28,8,1,1,3,1],[1,3,28,1,14,42,98,8,1,7,7,7,42,42,49,24,3,7,21,8,1,1,3,1],[1,
31,15,140,8,1,56,98,24,3,28,8,1,1,3,1],[1,31,56,15,56,140,196,84,392,1,8,56,
56,56,42,98,98,42,42,392,392,392,336,3,7,21,56,28,84,84,28,28,28,28,28,84,84,
196,84,84,28,28,392,1,7,7,7,21,7,7,21,7,7,21,7,21,7,7,56,56,168,56,1,7,7,7,21,
21,7,7,7,7,7,7,7,7,7,7,7,7,7,3,7,7,7,7,1],[1,63,24,63,8,588,84,84,56,9,504,42,
42,882,42,42,56,56,336,63,3,21,588,84,28,28,84,84,28,28,84,28,28,28,84,84,28,
63,1,7,21,7,7,7,7,7,21,7,21,21,7,7,168,56,56,1,7,7,21,7,7,7,7,7,21,7,7,7,7,7,
7,7,7,7,3,7,7,7,7,1],[1,31,24,15,8,140,84,100,56,1,56,50,42,98,50,50,56,56,
144,3,3,25,28,36,44,52,44,44,52,52,36,44,28,44,36,44,52,1,1,13,11,11,13,13,11,
13,11,11,11,9,13,13,24,24,48,48,1,1,1,6,7,5,5,4,6,4,6,6,3,5,3,5,5,5,6,6,5,6,6,
5,6,6,6,6,7,5,7,2,2,1,2,2,3,2,3,3,3,3,2,3,1],[1,63,24,64,63,588,84,84,64,9,
504,42,42,882,42,42,336,336,63,3,21,588,84,84,84,84,84,84,112,63,21,21,21,21,
168,84,1,21,21,28,3,1,1],[1,7,7,8,9,8,16,16,1,7,7,8,1,1,1,1,1,1,1,1,1],[1,7,7,
1,16,8,16,16,1,7,7,8,1,1,1,1,1,1,1,1,1],[1,63,63,588,64,9,504,882,63,588,63,
72,1,1],[1,7,56,7,56,196,392,64,1,8,56,56,98,392,392,392,7,56,196,392,7,56,8,
64,1,1],[1,63,63,588,64,9,504,882,63,588,63,16,1,1],[1,63,63,588,64,9,504,882,
63,588,63,8,8,1,1],[1,7,56,7,56,196,392,64,1,8,56,56,98,392,392,392,7,56,196,
392,7,56,8,8,56,1,1],[1,7,56,7,56,196,392,64,1,8,56,56,98,392,392,392,7,56,
196,392,7,56,8,8,56,1,1],[1,7,56,7,56,196,392,64,1,8,56,56,98,392,392,392,7,
56,196,392,7,56,8,8,1,1],[1,7,56,7,56,196,392,8,1,8,56,56,98,392,392,392,56,7,
56,196,392,56,7,56,1,8,1,7,7,1],[1,7,56,7,56,196,392,8,1,8,56,56,98,392,392,
392,56,7,56,196,392,56,7,56,1,8,1,7,7,1],[1,63,63,588,64,9,504,882,63,588,63,
8,8,56,1,1],[1,7,56,7,56,196,392,64,1,8,56,56,98,392,392,392,7,56,196,392,7,
56,8,8,1,1],[1,7,56,7,56,196,392,64,1,8,56,56,98,392,392,392,7,56,196,392,7,
56,8,8,1,1],[1,63,63,588,8,9,504,882,56,63,588,56,63,1,8,1,7,7,1],[1,7,7,28,
64,1,14,14,14,7,7,8,1,1],[1,7,7,28,64,1,14,14,14,7,7,8,1,1],[1,7,7,28,64,1,14,
14,14,7,28,7,8,1,1],[1,63,28,63,84,36,9,28,36,28,9,1],[1,63,28,63,84,36,9,28,
36,28,9,1],[1,63,56,63,56,588,196,196,392,9,8,56,56,504,98,98,882,98,98,392,
392,392,784,63,7,49,56,588,196,196,196,196,196,196,196,196,196,196,196,196,
196,196,392,63,7,49,49,49,49,49,49,49,49,49,49,49,49,49,56,392,392,392,392,1,
1,7,7,7,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,
49,49,49,49,49,7,7,49,49,49,49,49,49,49,49,49,49,49,49,49,7,7,49,1],[1,63,64,
63,588,9,504,882,64,336,63,588,63,84,1,1,1],[1,63,56,63,588,196,196,64,9,504,
98,98,882,98,98,784,64,63,7,49,588,196,196,196,196,196,196,63,49,49,49,49,392,
16,1,49,49,7,1,1],[1,15,56,7,56,28,196,28,392,64,1,8,56,56,14,98,14,14,14,392,
392,392,112,64,1,7,7,56,28,28,28,28,196,28,28,392,7,7,7,7,7,56,56,8,64,1,7,7,
8,1,1,1],[1,63,8,63,588,28,28,64,9,504,14,14,882,14,14,112,64,63,1,7,588,28,
28,28,28,28,28,63,7,7,7,7,56,72,1,7,7,8,1,1,1],[1,63,72,64,63,588,252,252,192,
9,504,126,126,882,126,126,1008,64,336,63,9,63,588,252,252,252,252,252,252,64,
336,63,63,63,63,63,504,84,1,63,63,84,9,1,3,1,1],[1,63,64,63,588,64,9,504,882,
336,63,588,64,63,84,72,1,1,1,1],[1,63,24,63,8,588,84,84,56,64,9,504,42,42,882,
42,42,56,56,336,192,63,3,21,588,84,28,28,84,84,28,28,84,28,28,28,84,84,28,64,
63,1,7,21,7,7,7,7,7,21,7,21,21,7,7,168,56,56,72,1,7,7,21,7,7,7,7,7,21,7,7,7,7,
7,7,7,7,7,24,3,7,7,7,7,8,1,1,3,1],[1,31,56,15,56,140,196,84,392,64,1,8,56,56,
56,42,98,98,42,42,392,392,392,336,192,3,7,21,56,28,84,84,28,28,28,28,28,84,84,
196,84,84,28,28,392,64,1,7,7,7,21,7,7,21,7,7,21,7,21,7,7,56,56,168,56,8,64,1,
7,7,7,21,21,7,7,7,7,7,7,7,7,7,7,7,7,7,24,3,7,7,7,7,8,1,1,3,1],[1,63,24,64,63,
588,84,84,64,64,9,504,42,42,882,42,42,336,336,192,63,3,21,588,84,84,84,84,84,
84,64,112,63,21,21,21,21,168,64,84,72,1,21,21,28,24,3,1,1,1,3,1,1],[1,63,63,
588,64,16,64,128,128,9,504,882,112,63,588,112,63,64,72,2,16,16,16,16,16,16,
112,1,14,14,16,1,1,2,2,2,1],[1,7,56,7,56,196,392,8,72,64,128,128,1,8,56,56,98,
392,392,392,56,56,7,56,196,392,56,56,7,56,64,1,1,8,64,8,8,8,8,8,8,8,8,8,8,8,8,
56,56,1,7,7,7,7,8,8,1,1,1,1,1,1,1,1,1],[1,63,28,63,84,1,72,36,72,72,9,28,36,
63,28,28,63,84,36,9,9,9,9,9,9,9,9,28,36,28,9,1,1],[1,63,56,63,56,588,196,196,
392,64,9,8,56,56,504,98,98,882,98,98,392,392,392,784,448,63,7,49,56,588,196,
196,196,196,196,196,196,196,196,196,196,196,196,196,392,448,63,7,49,49,49,49,
49,49,49,49,49,49,49,49,49,56,392,392,392,392,8,8,64,1,1,7,7,7,49,49,49,49,49,
49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,56,56,7,
7,49,49,49,49,49,49,49,49,49,49,49,49,49,56,56,7,7,49,8,8,1,1],[1,63,56,63,56,
588,196,196,392,512,9,8,56,56,504,98,98,882,98,98,392,392,392,784,63,7,49,56,
588,196,196,196,196,196,196,196,196,196,196,196,196,196,196,392,63,7,49,49,49,
49,49,49,49,49,49,49,49,49,49,56,392,392,392,392,64,64,64,448,1,1,7,7,7,49,49,
49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,
7,7,49,49,49,49,49,49,49,49,49,49,49,49,49,7,7,49,8,8,1,1],[1,63,56,63,56,588,
196,196,392,64,9,8,56,56,504,98,98,882,98,98,392,392,392,784,448,63,7,49,56,
588,196,196,196,196,196,196,196,196,196,196,196,196,196,196,392,448,63,7,49,
49,49,49,49,49,49,49,49,49,49,49,49,56,392,392,392,392,8,64,64,1,1,7,7,7,49,
49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,
49,56,7,7,49,49,49,49,49,49,49,49,49,49,49,49,49,56,7,7,49,1,8,1,7,7,1],[1,63,
56,63,56,588,196,196,392,64,9,8,56,56,504,98,98,882,98,98,392,392,392,784,448,
63,7,49,56,588,196,196,196,196,196,196,196,196,196,196,196,196,196,196,392,
448,63,7,49,49,49,49,49,49,49,49,49,49,49,49,49,56,392,392,392,392,72,64,1,1,
7,7,7,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,
49,49,49,49,56,7,7,49,49,49,49,49,49,49,49,49,49,49,49,49,56,7,7,49,1,8,1,7,7,
1],[1,63,56,63,56,588,196,196,392,512,9,8,56,56,504,98,98,882,98,98,392,392,
392,784,63,7,49,56,588,196,196,196,196,196,196,196,196,196,196,196,196,196,
196,392,63,7,49,49,49,49,49,49,49,49,49,49,49,49,49,56,392,392,392,392,64,64,
64,1,1,7,7,7,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,
49,49,49,49,49,49,49,7,7,49,49,49,49,49,49,49,49,49,49,49,49,49,7,7,49,8,8,56,
1,1],[1,63,56,63,56,588,196,196,392,512,9,8,56,56,504,98,98,882,98,98,392,392,
392,784,63,7,49,56,588,196,196,196,196,196,196,196,196,196,196,196,196,196,
196,392,63,7,49,49,49,49,49,49,49,49,49,49,49,49,49,56,392,392,392,392,128,64,
448,1,1,7,7,7,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,
49,49,49,49,49,49,49,7,7,49,49,49,49,49,49,49,49,49,49,49,49,49,7,7,49,8,8,1,
1],[1,63,56,63,56,588,196,196,392,512,9,8,56,56,504,98,98,882,98,98,392,392,
392,784,63,7,49,56,588,196,196,196,196,196,196,196,196,196,196,196,196,196,
196,392,63,7,49,49,49,49,49,49,49,49,49,49,49,49,49,56,392,392,392,392,64,64,
64,448,448,1,1,7,7,7,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,
49,49,49,49,49,49,49,49,49,7,7,49,49,49,49,49,49,49,49,49,49,49,49,49,7,7,49,
8,8,56,1,1],[1,63,56,63,56,588,196,196,392,512,9,8,56,56,504,98,98,882,98,98,
392,392,392,784,63,7,49,56,588,196,196,196,196,196,196,196,196,196,196,196,
196,196,196,392,63,7,49,49,49,49,49,49,49,49,49,49,49,49,49,56,392,392,392,
392,64,64,64,1,1,7,7,7,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,
49,49,49,49,49,49,49,49,49,49,7,7,49,49,49,49,49,49,49,49,49,49,49,49,49,7,7,
49,8,8,56,1,1],[1,63,64,63,588,64,9,504,882,64,336,63,588,64,63,84,72,64,1,1,
1,1,1,1],[1,63,56,63,588,196,196,64,16,64,128,128,9,504,98,98,882,98,98,784,
64,448,112,63,7,49,588,196,196,196,196,196,196,112,63,49,49,49,49,392,64,72,2,
16,16,16,16,16,16,112,1,49,49,64,56,14,7,14,16,1,1,2,2,2,1,7,1,1],[1,63,72,64,
63,588,252,252,192,64,9,504,126,126,882,126,126,1008,64,336,576,63,9,63,588,
252,252,252,252,252,252,64,64,336,63,63,63,63,63,504,192,84,72,64,1,63,63,84,
72,64,9,1,3,1,1,9,1,1,3,1,1],[1,63,56,63,56,588,196,196,392,64,128,512,1024,
1024,9,8,56,56,504,98,98,882,98,98,392,392,392,784,448,896,63,7,49,56,588,196,
196,196,196,196,196,196,196,196,196,196,196,196,196,392,448,896,63,7,49,49,49,
49,49,49,49,49,49,49,49,49,49,56,392,392,392,392,512,72,8,16,64,128,64,64,64,
128,64,128,64,128,64,128,128,448,896,448,1,1,7,7,7,49,49,49,49,49,49,49,49,49,
49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,56,56,112,7,7,49,49,
49,49,49,49,49,49,49,49,49,49,49,56,56,112,7,7,49,128,64,1,1,8,16,8,8,8,8,8,
16,8,8,16,56,56,56,1,7,7,7,7,8,8,1,1,1,1,1,1,1,1,1],[1,63,504,1792,63,504,588,
1764,1764,3528,5376,2304,9,72,504,504,504,882,882,882,882,882,3528,3528,3528,
7056,1792,9408,2304,63,63,441,504,588,1764,1764,1764,1764,1764,1764,1764,1764,
1764,1764,1764,1764,1764,1764,3528,1792,9408,63,63,441,441,441,441,441,441,
441,441,441,441,441,441,441,504,3528,3528,3528,3528,2352,576,576,4032,1,9,63,
63,63,441,441,441,441,441,441,441,441,441,441,441,441,441,441,441,441,441,441,
441,441,441,441,441,441,441,441,441,441,2352,63,63,441,441,441,441,441,441,
441,441,441,441,441,441,441,28,63,63,441,84,36,72,64,448,9,28,36,28,9,1],[1,
63,504,1792,63,504,588,1764,1764,3528,5376,64,576,2304,4608,4608,9,72,504,504,
504,882,882,882,882,882,3528,3528,3528,7056,1792,9408,2304,4032,4032,63,63,
441,504,588,1764,1764,1764,1764,1764,1764,1764,1764,1764,1764,1764,1764,1764,
1764,3528,1792,1792,9408,4032,4032,63,63,441,441,441,441,441,441,441,441,441,
441,441,441,441,504,3528,3528,3528,3528,5376,2352,2304,72,72,72,576,576,576,
576,576,576,576,576,576,576,576,576,576,4032,4032,4032,1792,1,9,63,63,63,441,
441,441,441,441,441,441,441,441,441,441,441,441,441,441,441,441,441,441,441,
441,441,441,441,441,441,441,441,2352,2304,504,504,504,1792,63,63,441,441,441,
441,441,441,441,441,441,441,441,441,441,28,504,504,504,63,63,441,84,576,576,1,
9,36,72,72,72,72,72,72,72,72,72,72,504,504,504,64,448,9,28,36,63,63,28,28,63,
63,84,36,72,64,9,9,9,9,9,9,9,9,28,36,28,9,1,1]],
[1,2,2,3,4,4,4,4,4,4,6,7,7,7,7,7,8,8,8,8,8,8,8,8,8,8,8,8,8,8,9,12,14,14,14,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,18,21,24,28,28,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,42,48,49,56,56,56,56,56,
56,56,56,56,56,56,56,56,56,56,56,56,56,56,63,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,96,98,112,
112,112,126,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,192,
224,224,224,256,256,256,384,392,392,448,448,448,448,448,448,448,448,448,448,
448,448,448,448,448,448,504,504,512,576,896,896,896,1152,1344,1792,1792,2688,
3136,3136,3528,3584,3584,3584,3584,3584,3584,3584,3584,4032,6272,8064,25088,
32256,225792],
[212,199,175,142,199,175,165,144,154,105,81,198,166,138,83,83,210,197,173,172,
177,164,162,163,164,164,105,105,105,73,142,58,138,91,98,201,202,186,176,165,
147,156,154,151,149,150,157,147,146,144,148,147,145,152,105,142,142,58,91,98,
201,202,186,186,186,186,186,186,186,186,186,186,186,186,186,176,120,118,109,
114,81,137,138,197,197,196,167,166,167,167,167,166,167,166,167,166,167,166,
166,100,101,102,142,212,210,206,203,205,186,186,186,186,186,186,186,186,186,
186,186,186,186,186,186,186,186,186,186,186,186,186,186,186,186,186,186,186,
137,138,176,175,180,142,202,201,186,186,186,186,186,186,186,186,186,186,186,
186,186,209,175,176,180,201,202,186,195,166,167,212,210,208,196,197,197,197,
197,197,196,197,197,196,181,182,183,198,185,210,209,208,201,202,209,209,202,
201,195,208,197,198,210,210,210,210,210,210,210,210,209,208,209,210,212,212],
[1,1,1,1,1,1,1,1,1,1,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,7,14,1,1,1,1,1,
1,1,2,2,1,2,2,2,2,2,2,1,2,2,2,2,1,31,1,32,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,1,
5,5,5,5,4,40,1,17,18,17,18,17,18,18,1,17,18,17,18,17,18,1,17,20,21,19,1,1,1,
17,17,1,5,5,5,17,5,5,5,5,5,5,5,5,17,17,17,17,5,17,5,17,17,5,17,17,5,5,5,5,82,
14,18,17,17,31,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,104,17,18,17,17,
17,17,158,17,18,104,105,104,104,105,105,105,17,18,104,105,105,17,107,106,108,
184,185,17,104,170,105,104,187,104,104,105,158,104,105,184,186,186,105,104,
186,186,186,186,104,170,187,186,211,211],
[( 1,13,36,55,39,34,64)( 2,33,17,63, 5,14,31)( 3,19,52,59,27,35,15)
( 4,16,54,42,12,57,43)( 6,46,50,21,11,49, 7)( 8,10,45,22,48,40,62)
( 9,18,58,51,53,41,37)(20,30,25,32,47,61,44)(23,38,28,24,26,56,60),
( 1,64,32,34,52,19,61,44,30)( 2,31,24, 9,29,57,59,11,33)( 3, 5,26,15,48, 8,55,
10,38)( 4,36,13,17,58,22,37,60,56)( 6, 7,43,20,63,45,62,35,27)
(12,49,14,39,42,53,50,47,41)(18,54,46,28,21,25,40,23,51)],
[[[[]]],[[[1,2],[1,1,2,-1],[3,1,4,2,3,1,1,1,2,1]]],[[[2,1,1,2,2,-1,1,-1,2,1,1,
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-2]]],[[[1,2,2,1,1,2,2,1]],[[2,1,1,2,2,1,1,2]],[[1,1,2,1,1,2,2,1,1,1]]],[[[1,
2],[3,1,2,2,1,1,2,-1,3,-1]],[[1,-1,2,1,1,2]],[[2,1,1,2,2,1,1,-1,2,-1]]],[[[2,
1,1,-1,2,-1,1,2,2,-1,1,-1,2,-1]],[[2,1,1,-1,2,1,1,1,2,2]]],[[[1,2],[3,1,2,-1,
1,-1,2,-1,3,1,2,-1,3,1]],[[1,1,2,-1,1,2,2,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,3,1,
1,-2,3,1,2,1]],[[2,1,1,-1,2,3,1,1]],[[1,2],[1,1,2,1],[4,1,3,1,4,-1,3,-1]]],[[[
1,2],[1,1,2,1,3,-1,2,2,3,1]],[[1,1,2,2,1,1]],[[1,2],[1,1,2,-1],[4,1,3,2,4,
-1]]],[[[1,1,2,1],[2,1,3,1,1,-2,2,-1,3,-1]],[[1,1,2,1],[2,1,3,1,1,2,3,1,2,
1]]],[[[1,2],[1,1,2,1],[2,1,4,1,3,1,4,1,3,1]],[[2,2,1,-1,2,-2,1,-1]],[[1,1,2,
-1,1,2,2,1,1,-1,2,-1]]],[[[1,2],[1,1,2,1],[4,1,3,2,2,1,4,1]],[[2,1,1,2,2,1,1,
-1]],[[1,2,2,1,1,1,2,1,1,1,2,-1]]],[[[1,2],[3,1,2,1,1,1,2,-1,3,-1]],[[1,3,2,
-1,1,1]],[[1,2],[2,-1,3,1,1,1,2,1]]],[[[1,3,2,2,1,-1,2,-2]],[[2,1,1,-1,2,3,1,
-1]]],[[[1,2],[2,1,1,1,3,1,2,2,3,1]],[[1,2],[3,1,2,-1,3,-1,2,1,1,1,2,1]]],[[[
1,2],[3,1,1,1,2,2,3,1,2,-2]],[[1,1,2,-1,1,2,2,1,1,1,2,1]],[[1,2,2,2,1,-1,2,
-2]]],[[[1,2],[3,1,2,1,3,1,2,1,1,-1]],[[1,1,2,-1,1,1,2,2]]],[[[1,2],[3,1,1,1,
2,1,3,1,2,1,1,1]],[[1,3,2,-1,1,1,2,2]]],[[[2,1,1,-1,2,1,1,-3,2,-1]],[[2,1,1,
-1,2,-1,1,2,2,2]]],[[[1,2],[3,1,2,-1,3,1,1,1,2,-1,3,1]],[[2,1,1,1,2,-1,1,
-1]]],[[[1,2,2,1,1,-1,2,-1,1,-1]],[[1,-1,2,1,1,1]]],[[[1,2],[1,1,2,1,3,-1,2,
-1,3,1,2,2,1,-1]],[[1,1,2,-3,1,-1,2,-2]],[[1,2],[1,1,2,1],[3,1,4,1,2,2,3,-1,4,
-1]],[[1,2],[3,1,2,1,1,-1,3,-1,2,1,1,1,2,-1]],[[1,2,2,-2,1,-1,2,-3,1,-1]],[[1,
2],[3,1,2,-1,1,1,2,1,3,2,2,1]]],[[[1,2],[3,1,2,-1,3,1,1,1,2,-1,3,1]],[[1,2],[
3,1,2,2,3,-1,2,-1]]],[[[2,1,1,1,2,1,1,-2,2,2,1,1]],[[1,2],[2,2,3,-1,2,1,3,
1]]],[[[1,2],[3,1,2,1,3,1,2,1,1,1]],[[1,2],[2,-1,1,1,2,2]]],[[[1,1,2,1,1,2,2,
1,1,1]],[[2,1,1,1],[2,1,3,-2]]],[[[2,1,1,1,2,1,1,-2,2,2,1,1]],[[1,2],[3,1,2,2,
3,-1,2,-1]]],[[[2,1,1,1,2,1,1,-2,2,-1]],[[1,2,2,1,1,2,2,1]]],[[[1,2],[3,2,2,
-1,1,1,2,2]],[[1,2],[2,2],[4,1,3,-1,4,-1,3,-1]],[[2,1,1,2,2,1,1,2]]],[[[1,2],[
3,1,2,1,3,1,2,1,1,1]],[[2,1,1,-1,2,3]],[[2,1,1,-1],[3,2,2,1]]],[[[2,1,1,1,2,1,
1,-2,2,-1]],[[1,1,2,3]]],[[[2,1,1,-1,2,3,1,1]],[[2,2,1,1,2,-2]]],[[[1,2],[2,
-1,1,1,2,2]],[[2,1,1,2,2,1,1,-1]]],[[[1,-1,2,2,1,2]],[[2,1,1,1]]],[[[1,2,2,-1,
1,1,2,2]],[[1,1,2,-1,1,-2,2,-1]]],[[[1,1,2,-1,1,-2,2,-1,1,-1]],[[2,2,1,1,2,
-2]],[[2,1,1,2,2,1]]],[[[1,2],[3,1,2,1,3,1,2,1,1,1]],[[2,1,1,-1,2,3]],[[1,2],[
2,1,3,1,2,1,1,1,3,1]]],[[[1,1,2,-2,1,-3,2,-1]],[[2,1,1,1],[3,2,2,-1]],[[2,2,1,
-1,2,-2,1,-1]]],[[[1,1,2,1,1,2,2,1]],[[2,1,1,2,2,1,1,1]],[[1,1,2,-1,1,1,2,
2]]],[[[2,1,1,2,2,1,1,-2]],[[2,1,1,-1,2,-1,1,1,2,1]]],[[[2,1,1,-1,2,1,1,-3,2,
-1]],[[2,1,1,-1,2,-1,1,2,2,2]],[[1,-1]]],[[[1,3,2,-1,1,1,2,2]],[[2,1,1,3,2,
2]],[[1,2],[2,1,3,1],[3,1,4,2]]],[[[1,1,2,1],[2,1,3,2]],[[2,1,1,3,2,1]]],[[[1,
-1,2,1,1,3]],[[2,1,1,1,2,2]]],[[[1,1,2,3]],[[2,3,1,1]]],[[[1,1,2,-1,1,1,2,
2]],[[2,1,1,2,2,1]],[[1,-1]]],[[[1,1,2,1,1,-1]],[[2,1]]],[[[1,1]],[[2,1]]]]);
LIBTOM( "7^2:S3",
[[1],[1,2],[1,3],[1,2,3,4],[1,5],[1,6],[1,7],[1,2,6,8],[1,2,7,9],[1,3,5,10],[
1,5,6,7,11],[1,2,5,6,7,8,9,11,12],[1,3,5,6,7,10,11,13],[1,2,3,4,5,6,7,8,9,10,
11,12,13,14]],
0,[[1],[1,1],[1,1],[1,3,1,1],[1,1],[1,1],[1,1],[1,7,1,1],[1,1,1,1],[1,7,1,1],[
1,2,3,3,1],[1,7,2,3,3,1,7,1,1],[1,49,2,3,3,14,1,1],[1,21,49,49,2,3,3,3,21,14,
1,3,1,1]],
[1,2,3,6,7,7,7,14,14,21,49,98,147,294],
[14,9,4,4,13,12,12,12,9,10,14,12,14,14],
[1,1,1,3,1,1,1,6,1,5,1,6,11,13],
[( 1,43, 6)( 2,70,58)( 3,42, 7)( 4,57,56)( 5,46,24)( 8,21,59)( 9,26,11)
(10,15,12)(14,33,64)(16,73,60)(17,25,30)(18,49,20)(19,38,40)(22,51,66)
(23,28,54)(27,62,34)(29,37,39)(31,44,65)(32,48,69)(35,45,55)(36,63,71)
(41,50,53)(47,61,52)(67,68,72),( 1,16,49,20,28, 3,56,13, 4,24,26,41,50,10)
( 2,69,47,52,32,58,72,62,31,71,36,65,34,68)( 5,17, 7,54,21,59, 9)
( 6,15,35,45,14,19,38,60,43,30,46,57,42,25)( 8,23,18,73,40,33,66,22,51,64,55,
12,53,11)(27,67)(37,39)(44,63)(48,70)],
[[[[]]],[[[1,1,2,-1]]],[[[1,1]]],[[[1,1,2,1],[2,1,3,2,2,1,1,1,2,-1]],[[1,1,2,
1],[1,-1,2,1,3,2,2,2]]],[[[1,1,2,1],[2,2],[4,1,3,2,4,1]]],[[[1,1,2,1],[2,1,1,
1],[3,1,2,1,3,2,2,1,4,2,1,1,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,1,2,-1,3,-1]]],[[[
1,-1,2,2,1,1,2,1]],[[1,-1,2,-1,1,-1]]],[[[2,1,1,-1,2,-2,1,-1]]],[[[1,1,2,
4]],[[2,2,1,1]]],[[[1,1,2,1,1,1,2,1]],[[2,2]]],[[[1,-1,2,1]],[[1,-1,2,
-1]]],[[[2,2]],[[1,-1]]],[[[1,1]],[[2,1]]]]);
LIBTOM( "11^2:(5x2L2(11).2)",
[[1],[1,2],[1,3],[1,4],[1,2,3,5],[1,2,6],[1,7],[1,8],[1,9],[1,10],[1,2,4,11],[
1,3,4,12],[1,2,3,5,6,13],[1,2,6,14],[1,2,6,15],[1,2,7,16],[1,3,7,17],[1,2,8,
18],[1,2,9,19],[1,2,10,20],[1,3,8,21],[1,3,8,22],[1,3,9,23],[1,3,9,24],[1,3,
10,25],[1,3,10,26],[1,27],[1,28],[1,29],[1,2,4,6,11,30],[1,2,3,4,5,11,12,31],[
1,2,4,6,11,32],[1,4,7,33],[1,2,3,5,6,13,14,15,34],[1,2,3,5,7,16,17,35],[1,2,6,
7,16,36],[1,2,3,5,8,18,21,37],[1,2,3,5,8,18,22,38],[1,2,6,8,18,39],[1,2,3,5,9,
19,23,24,40],[1,2,3,5,10,20,25,26,41],[1,2,27,42],[1,3,28,43],[1,3,27,44],[1,
3,27,45],[1,2,28,46],[1,3,28,47],[1,3,29,48],[1,2,4,6,11,14,49],[1,2,3,4,5,6,
11,12,13,30,31,50],[1,2,4,6,11,14,30,32,51],[1,2,4,6,11,15,30,52],[1,7,8,9,10,
53],[1,2,4,7,11,16,33,54],[1,3,4,7,12,17,33,55],[1,2,3,5,6,7,13,16,17,35,36,
56],[1,2,6,7,14,16,36,57],[1,2,6,7,15,16,36,58],[1,2,3,5,6,8,13,18,21,22,37,
38,39,59],[1,2,3,5,27,42,44,45,60],[1,2,3,5,28,43,46,47,61],[1,2,3,4,5,6,11,
12,13,14,15,31,34,49,62],[1,2,3,4,5,6,11,12,13,14,15,30,31,32,34,50,51,52,
63],[1,2,7,8,9,10,16,18,19,20,53,64],[1,3,7,8,9,10,17,21,23,24,25,26,53,65],[
1,3,7,8,9,10,17,22,53,66],[1,7,27,67],[1,10,28,68],[1,8,27,69],[1,9,27,70],[1,
10,27,71],[1,9,27,72],[1,10,27,73],[1,7,28,74],[1,8,28,75],[1,9,28,76],[1,9,
28,77],[1,10,28,78],[1,9,29,79],[1,2,4,6,7,11,16,30,33,36,54,80],[1,2,3,4,5,7,
11,12,16,17,31,33,35,54,55,81],[1,2,4,6,7,11,16,32,33,36,54,82],[1,2,3,5,6,7,
13,14,15,16,17,34,35,36,56,57,58,83],[1,2,3,5,7,8,9,10,16,17,18,19,20,21,23,
24,25,26,35,37,40,41,53,64,65,84],[1,2,3,5,7,8,9,10,16,17,18,19,20,22,35,38,
53,64,66,85],[1,2,6,7,8,9,10,16,18,19,20,36,39,53,64,86],[1,2,7,16,27,42,67,
87],[1,3,7,17,27,44,67,88],[1,3,7,17,27,45,67,89],[1,2,8,18,27,42,69,90],[1,2,
9,19,27,42,70,91],[1,2,10,20,27,42,71,92],[1,2,9,19,27,42,72,93],[1,2,10,20,
27,42,73,94],[1,3,10,25,28,43,68,95],[1,2,10,20,28,46,68,96],[1,3,10,26,28,47,
68,97],[1,3,7,17,28,43,74,98],[1,3,8,21,28,43,75,99],[1,3,9,23,28,43,76,100],[
1,3,9,24,28,43,77,101],[1,3,10,26,28,43,78,102],[1,3,8,21,27,44,69,103],[1,3,
8,21,27,45,69,104],[1,3,9,23,27,44,70,105],[1,3,9,24,27,45,70,106],[1,3,10,25,
27,44,71,107],[1,3,10,26,27,45,71,108],[1,3,9,24,27,44,72,109],[1,3,9,23,27,
45,72,110],[1,3,10,26,27,44,73,111],[1,3,10,25,27,45,73,112],[1,2,7,16,28,46,
74,113],[1,3,7,17,28,47,74,114],[1,2,8,18,28,46,75,115],[1,2,9,19,28,46,76,
116],[1,2,9,19,28,46,77,117],[1,2,10,20,28,46,78,118],[1,3,8,21,28,47,75,
119],[1,3,9,24,28,47,76,120],[1,3,9,23,28,47,77,121],[1,3,10,25,28,47,78,
122],[1,3,9,23,29,48,79,123],[1,2,4,6,7,11,14,16,33,36,49,54,57,124],[1,2,3,4,
5,6,7,11,12,13,16,17,30,31,33,35,36,50,54,55,56,80,81,125],[1,2,4,6,7,11,14,
16,30,32,33,36,51,54,57,80,82,126],[1,2,4,6,7,11,15,16,30,33,36,52,54,58,80,
127],[1,2,4,6,8,11,14,18,32,39,49,128],[1,27,28,129],[1,28,29,130],[1,28,
131],[1,2,3,5,6,7,8,9,10,13,16,17,18,19,20,21,22,23,24,25,26,35,36,37,38,39,
40,41,53,56,59,64,65,66,84,85,86,132],[1,2,3,5,7,16,17,27,35,42,44,45,60,67,
87,88,89,133],[1,2,3,5,8,18,21,27,37,42,44,45,60,69,90,103,104,134],[1,2,3,5,
9,19,23,24,27,40,42,44,45,60,70,91,105,106,135],[1,2,3,5,10,20,25,26,27,41,42,
44,45,60,71,92,107,108,136],[1,2,3,5,9,19,23,24,27,40,42,44,45,60,72,93,109,
110,137],[1,2,3,5,10,20,25,26,27,41,42,44,45,60,73,94,111,112,138],[1,2,3,5,
10,20,25,26,28,41,43,46,47,61,68,95,96,97,139],[1,2,3,5,7,16,17,28,35,43,46,
47,61,74,98,113,114,140],[1,2,3,5,8,18,21,28,37,43,46,47,61,75,99,115,119,
141],[1,2,3,5,9,19,23,24,28,40,43,46,47,61,76,100,116,120,142],[1,2,3,5,9,19,
23,24,28,40,43,46,47,61,77,101,117,121,143],[1,2,3,5,10,20,25,26,28,41,43,46,
47,61,78,102,118,122,144],[1,2,3,4,5,6,7,11,12,13,14,15,16,17,31,33,34,35,36,
49,54,55,56,57,58,62,81,83,124,145],[1,2,3,4,5,6,7,11,12,13,14,15,16,17,30,31,
32,33,34,35,36,50,51,52,54,55,56,57,58,63,80,81,82,83,125,126,127,146],[1,3,
27,28,43,44,129,147],[1,2,27,28,42,46,129,148],[1,3,27,28,45,47,129,149],[1,3,
28,43,47,131,150],[1,3,28,29,43,48,130,151],[1,2,28,46,131,152],[1,7,8,9,10,
27,53,67,69,70,71,72,73,153],[1,7,8,9,10,28,53,68,74,75,76,77,78,154],[1,4,28,
131,155],[1,2,3,5,27,28,42,43,44,45,46,47,60,61,129,147,148,149,156],[1,2,3,5,
28,43,46,47,61,131,150,152,157],[1,2,6,28,46,131,152,158],[1,2,7,8,9,10,16,18,
19,20,27,42,53,64,67,69,70,71,72,73,87,90,91,92,93,94,153,159],[1,3,7,8,9,10,
17,21,23,24,25,26,27,44,53,65,67,69,70,71,72,73,88,103,105,107,109,111,153,
160],[1,3,7,8,9,10,17,21,23,24,25,26,27,45,53,65,67,69,70,71,72,73,89,104,106,
108,110,112,153,161],[1,3,7,8,9,10,17,21,23,24,25,26,28,43,53,65,68,74,75,76,
77,78,95,98,99,100,101,102,154,162],[1,2,7,8,9,10,16,18,19,20,28,46,53,64,68,
74,75,76,77,78,96,113,115,116,117,118,154,163],[1,3,7,8,9,10,17,21,23,24,25,
26,28,47,53,65,68,74,75,76,77,78,97,114,119,120,121,122,154,164],[1,2,4,6,7,8,
9,10,11,14,16,18,19,20,32,33,36,39,49,53,54,57,64,82,86,124,128,165],[1,10,27,
28,68,71,129,166],[1,7,27,28,67,74,129,167],[1,8,27,28,69,75,129,168],[1,9,27,
28,70,76,129,169],[1,9,27,28,72,77,129,170],[1,10,27,28,73,78,129,171],[1,10,
28,68,78,131,172],[1,9,28,29,76,79,130,173],[1,7,28,74,131,174],[1,8,28,75,
131,175],[1,9,28,76,77,131,176],[1,2,4,11,28,46,131,152,155,177],[1,3,4,12,28,
43,47,131,150,155,178],[1,2,3,5,6,13,28,43,46,47,61,131,150,152,157,158,179],[
1,2,6,14,28,46,131,152,158,180],[1,2,6,15,28,46,131,152,158,181],[1,2,3,5,7,8,
9,10,16,17,18,19,20,21,23,24,25,26,27,35,37,40,41,42,44,45,53,60,64,65,67,69,
70,71,72,73,84,87,88,89,90,91,92,93,94,103,104,105,106,107,108,109,110,111,
112,133,134,135,136,137,138,153,159,160,161,182],[1,2,3,5,7,8,9,10,16,17,18,
19,20,21,23,24,25,26,28,35,37,40,41,43,46,47,53,61,64,65,68,74,75,76,77,78,84,
95,96,97,98,99,100,101,102,113,114,115,116,117,118,119,120,121,122,139,140,
141,142,143,144,154,162,163,164,183],[1,3,10,25,27,28,43,44,68,71,95,107,129,
147,166,184],[1,2,10,20,27,28,42,46,68,71,92,96,129,148,166,185],[1,3,10,26,
27,28,45,47,68,71,97,108,129,149,166,186],[1,3,7,17,27,28,43,44,67,74,88,98,
129,147,167,187],[1,3,8,21,27,28,43,44,69,75,99,103,129,147,168,188],[1,3,9,
23,27,28,43,44,70,76,100,105,129,147,169,189],[1,3,9,24,27,28,43,44,72,77,101,
109,129,147,170,190],[1,3,10,26,27,28,43,44,73,78,102,111,129,147,171,191],[1,
2,7,16,27,28,42,46,67,74,87,113,129,148,167,192],[1,3,7,17,27,28,45,47,67,74,
89,114,129,149,167,193],[1,2,8,18,27,28,42,46,69,75,90,115,129,148,168,194],[
1,2,9,19,27,28,42,46,70,76,91,116,129,148,169,195],[1,2,9,19,27,28,42,46,72,
77,93,117,129,148,170,196],[1,2,10,20,27,28,42,46,73,78,94,118,129,148,171,
197],[1,3,8,21,27,28,45,47,69,75,104,119,129,149,168,198],[1,3,9,24,27,28,45,
47,70,76,106,120,129,149,169,199],[1,3,9,23,27,28,45,47,72,77,110,121,129,149,
170,200],[1,3,10,25,27,28,45,47,73,78,112,122,129,149,171,201],[1,3,10,25,28,
43,47,68,78,95,122,131,150,172,202],[1,2,10,20,28,46,68,78,96,118,131,152,172,
203],[1,3,10,26,28,43,47,68,78,97,102,131,150,172,204],[1,3,7,17,28,43,47,74,
98,114,131,150,174,205],[1,3,8,21,28,43,47,75,99,119,131,150,175,206],[1,3,9,
24,28,43,47,76,77,101,120,131,150,176,207],[1,3,9,23,28,43,47,76,77,100,121,
131,150,176,208],[1,3,9,23,28,29,43,48,76,79,100,123,130,151,173,209],[1,2,7,
16,28,46,74,113,131,152,174,210],[1,2,8,18,28,46,75,115,131,152,175,211],[1,2,
9,19,28,46,76,77,116,117,131,152,176,212],[1,3,8,22,28,43,47,75,131,150,175,
213],[1,2,4,6,8,11,14,18,27,30,32,39,42,49,51,69,90,128,214],[1,27,28,29,129,
130,131,215],[1,2,4,6,11,28,30,46,131,152,155,158,177,216],[1,2,3,4,5,11,12,
28,31,43,46,47,61,131,150,152,155,157,177,178,217],[1,2,4,6,11,28,32,46,131,
152,155,158,177,218],[1,4,7,28,33,74,131,155,174,219],[1,2,3,5,6,13,14,15,28,
34,43,46,47,61,131,150,152,157,158,179,180,181,220],[1,2,3,5,10,20,25,26,27,
28,41,42,43,44,45,46,47,60,61,68,71,92,95,96,97,107,108,129,136,139,147,148,
149,156,166,184,185,186,221],[1,2,3,5,7,16,17,27,28,35,42,43,44,45,46,47,60,
61,67,74,87,88,89,98,113,114,129,133,140,147,148,149,156,167,187,192,193,
222],[1,2,3,5,8,18,21,27,28,37,42,43,44,45,46,47,60,61,69,75,90,99,103,104,
115,119,129,134,141,147,148,149,156,168,188,194,198,223],[1,2,3,5,9,19,23,24,
27,28,40,42,43,44,45,46,47,60,61,70,76,91,100,105,106,116,120,129,135,142,147,
148,149,156,169,189,195,199,224],[1,2,3,5,9,19,23,24,27,28,40,42,43,44,45,46,
47,60,61,72,77,93,101,109,110,117,121,129,137,143,147,148,149,156,170,190,196,
200,225],[1,2,3,5,10,20,25,26,27,28,41,42,43,44,45,46,47,60,61,73,78,94,102,
111,112,118,122,129,138,144,147,148,149,156,171,191,197,201,226],[1,2,3,5,10,
20,25,26,28,41,43,46,47,61,68,78,95,96,97,102,118,122,131,139,144,150,152,157,
172,202,203,204,227],[1,2,3,5,7,16,17,28,35,43,46,47,61,74,98,113,114,131,140,
150,152,157,174,205,210,228],[1,2,3,5,8,18,21,28,37,43,46,47,61,75,99,115,119,
131,141,150,152,157,175,206,211,229],[1,2,3,5,9,19,23,24,28,40,43,46,47,61,76,
77,100,101,116,117,120,121,131,142,143,150,152,157,176,207,208,212,230],[1,2,
6,7,16,28,36,46,74,113,131,152,158,174,210,231],[1,2,3,5,8,18,22,28,38,43,46,
47,61,75,115,131,150,152,157,175,211,213,232],[1,2,6,8,18,28,39,46,75,115,131,
152,158,175,211,233],[1,2,3,4,5,6,8,11,12,13,14,15,18,21,22,27,30,31,32,34,37,
38,39,42,44,45,49,50,51,52,59,60,62,63,69,90,103,104,128,134,214,234],[1,3,27,
28,29,43,45,47,129,130,131,149,150,215,235],[1,2,27,28,29,42,46,129,130,131,
148,152,215,236],[1,3,27,28,29,43,44,47,48,129,130,131,147,150,151,215,237],[
1,2,3,4,5,6,11,12,13,28,30,31,43,46,47,50,61,131,150,152,155,157,158,177,178,
179,216,217,238],[1,2,4,6,11,14,28,30,32,46,51,131,152,155,158,177,180,216,
218,239],[1,2,4,6,11,15,28,30,46,52,131,152,155,158,177,181,216,240],[1,2,4,6,
11,14,28,46,49,131,152,155,158,177,180,241],[1,7,8,9,10,27,28,53,67,68,69,70,
71,72,73,74,75,76,77,78,129,153,154,166,167,168,169,170,171,242],[1,7,8,9,10,
28,53,68,74,75,76,77,78,131,154,172,174,175,176,243],[1,2,4,7,11,16,28,33,46,
54,74,113,131,152,155,174,177,210,219,244],[1,3,4,7,12,17,28,33,43,47,55,74,
98,114,131,150,155,174,178,205,219,245],[1,2,3,5,6,7,13,16,17,28,35,36,43,46,
47,56,61,74,98,113,114,131,140,150,152,157,158,174,179,205,210,228,231,246],[
1,2,3,5,6,8,13,18,21,22,28,37,38,39,43,46,47,59,61,75,99,115,119,131,141,150,
152,157,158,175,179,206,211,213,229,232,233,247],[1,2,6,7,14,16,28,36,46,57,
74,113,131,152,158,174,180,210,231,248],[1,2,6,7,15,16,28,36,46,58,74,113,131,
152,158,174,181,210,231,249],[1,2,3,5,27,28,29,42,43,44,45,46,47,48,60,61,129,
130,131,147,148,149,150,151,152,156,157,215,235,236,237,250],[1,2,3,4,5,6,11,
12,13,14,15,28,30,31,32,34,43,46,47,50,51,52,61,63,131,150,152,155,157,158,
177,178,179,180,181,216,217,218,220,238,239,240,251],[1,2,3,4,5,6,11,12,13,14,
15,28,31,34,43,46,47,49,61,62,131,150,152,155,157,158,177,178,179,180,181,217,
220,241,252],[1,3,7,8,9,10,17,21,23,24,25,26,27,28,43,44,53,65,67,68,69,70,71,
72,73,74,75,76,77,78,88,95,98,99,100,101,102,103,105,107,109,111,129,147,153,
154,160,162,166,167,168,169,170,171,184,187,188,189,190,191,242,253],[1,2,7,8,
9,10,16,18,19,20,27,28,42,46,53,64,67,68,69,70,71,72,73,74,75,76,77,78,87,90,
91,92,93,94,96,113,115,116,117,118,129,148,153,154,159,163,166,167,168,169,
170,171,185,192,194,195,196,197,242,254],[1,3,7,8,9,10,17,21,23,24,25,26,27,
28,45,47,53,65,67,68,69,70,71,72,73,74,75,76,77,78,89,97,104,106,108,110,112,
114,119,120,121,122,129,149,153,154,161,164,166,167,168,169,170,171,186,193,
198,199,200,201,242,255],[1,3,7,8,9,10,17,21,23,24,25,26,28,43,47,53,65,68,74,
75,76,77,78,95,97,98,99,100,101,102,114,119,120,121,122,131,150,154,162,164,
172,174,175,176,202,204,205,206,207,208,243,256],[1,2,7,8,9,10,16,18,19,20,28,
46,53,64,68,74,75,76,77,78,96,113,115,116,117,118,131,152,154,163,172,174,175,
176,203,210,211,212,243,257],[1,3,7,8,9,10,17,22,28,43,47,53,66,68,74,75,76,
77,78,98,114,131,150,154,172,174,175,176,205,213,243,258],[1,2,4,6,7,8,9,10,
11,14,16,18,19,20,27,30,32,33,36,39,42,49,51,53,54,57,64,67,69,70,71,72,73,80,
82,86,87,90,91,92,93,94,124,126,128,153,159,165,214,259],[1,10,27,28,29,68,73,
78,129,130,131,171,172,215,260],[1,7,27,28,29,67,74,129,130,131,167,174,215,
261],[1,8,27,28,29,69,75,129,130,131,168,175,215,262],[1,9,27,28,29,70,76,77,
79,129,130,131,169,173,176,215,263],[1,10,27,28,29,68,71,78,129,130,131,166,
172,215,264],[1,9,27,28,29,72,76,77,129,130,131,170,176,215,265],[1,2,4,6,7,
11,16,28,30,33,36,46,54,74,80,113,131,152,155,158,174,177,210,216,219,231,244,
266],[1,2,3,4,5,7,11,12,16,17,28,31,33,35,43,46,47,54,55,61,74,81,98,113,114,
131,140,150,152,155,157,174,177,178,205,210,217,219,228,244,245,267],[1,2,4,6,
7,11,16,28,32,33,36,46,54,74,82,113,131,152,155,158,174,177,210,218,219,231,
244,268],[1,2,3,5,6,7,13,14,15,16,17,28,34,35,36,43,46,47,56,57,58,61,74,83,
98,113,114,131,140,150,152,157,158,174,179,180,181,205,210,220,228,231,246,
248,249,269],[1,2,3,5,7,8,9,10,16,17,18,19,20,21,23,24,25,26,27,28,35,37,40,
41,42,43,44,45,46,47,53,60,61,64,65,67,68,69,70,71,72,73,74,75,76,77,78,84,87,
88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,
110,111,112,113,114,115,116,117,118,119,120,121,122,129,133,134,135,136,137,
138,139,140,141,142,143,144,147,148,149,153,154,156,159,160,161,162,163,164,
166,167,168,169,170,171,182,183,184,185,186,187,188,189,190,191,192,193,194,
195,196,197,198,199,200,201,221,222,223,224,225,226,242,253,254,255,270],[1,2,
3,5,7,8,9,10,16,17,18,19,20,21,23,24,25,26,28,35,37,40,41,43,46,47,53,61,64,
65,68,74,75,76,77,78,84,95,96,97,98,99,100,101,102,113,114,115,116,117,118,
119,120,121,122,131,139,140,141,142,143,144,150,152,154,157,162,163,164,172,
174,175,176,183,202,203,204,205,206,207,208,210,211,212,227,228,229,230,243,
256,257,271],[1,2,3,5,7,8,9,10,16,17,18,19,20,22,28,35,38,43,46,47,53,61,64,
66,68,74,75,76,77,78,85,96,98,113,114,115,116,117,118,131,140,150,152,154,157,
163,172,174,175,176,203,205,210,211,212,213,228,232,243,257,258,272],[1,2,6,7,
8,9,10,16,18,19,20,28,36,39,46,53,64,68,74,75,76,77,78,86,96,113,115,116,117,
118,131,152,154,158,163,172,174,175,176,203,210,211,212,231,233,243,257,273],[
1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,30,31,
32,33,34,35,36,37,38,39,40,41,42,44,45,49,50,51,52,53,54,55,56,57,58,59,60,62,
63,64,65,66,67,69,70,71,72,73,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,
103,104,105,106,107,108,109,110,111,112,124,125,126,127,128,132,133,134,135,
136,137,138,145,146,153,159,160,161,165,182,214,234,259,274],[1,3,10,25,27,28,
29,43,45,47,68,73,78,95,112,122,129,130,131,149,150,171,172,201,202,215,235,
260,275],[1,2,10,20,27,28,29,42,46,68,73,78,94,96,118,129,130,131,148,152,171,
172,197,203,215,236,260,276],[1,3,10,26,27,28,29,43,44,47,48,68,73,78,97,102,
111,129,130,131,147,150,151,171,172,191,204,215,237,260,277],[1,3,7,17,27,28,
29,43,45,47,67,74,89,98,114,129,130,131,149,150,167,174,193,205,215,235,261,
278],[1,3,8,21,27,28,29,43,45,47,69,75,99,104,119,129,130,131,149,150,168,175,
198,206,215,235,262,279],[1,3,9,24,27,28,29,43,45,47,70,76,77,79,101,106,120,
129,130,131,149,150,169,173,176,199,207,215,235,263,280],[1,3,10,26,27,28,29,
43,45,47,68,71,78,97,102,108,129,130,131,149,150,166,172,186,204,215,235,264,
281],[1,3,9,23,27,28,29,43,45,47,72,76,77,100,110,121,129,130,131,149,150,170,
176,200,208,215,235,265,282],[1,2,7,16,27,28,29,42,46,67,74,87,113,129,130,
131,148,152,167,174,192,210,215,236,261,283],[1,3,7,17,27,28,29,43,44,47,48,
67,74,88,98,114,129,130,131,147,150,151,167,174,187,205,215,237,261,284],[1,2,
8,18,27,28,29,42,46,69,75,90,115,129,130,131,148,152,168,175,194,211,215,236,
262,285],[1,2,9,19,27,28,29,42,46,70,76,77,79,91,116,117,129,130,131,148,152,
169,173,176,195,212,215,236,263,286],[1,2,10,20,27,28,29,42,46,68,71,78,92,96,
118,129,130,131,148,152,166,172,185,203,215,236,264,287],[1,2,9,19,27,28,29,
42,46,72,76,77,93,116,117,129,130,131,148,152,170,176,196,212,215,236,265,
288],[1,3,8,21,27,28,29,43,44,47,48,69,75,99,103,119,129,130,131,147,150,151,
168,175,188,206,215,237,262,289],[1,3,9,23,27,28,29,43,44,47,48,70,76,77,79,
100,105,121,123,129,130,131,147,150,151,169,173,176,189,208,209,215,237,263,
290],[1,3,10,25,27,28,29,43,44,47,48,68,71,78,95,107,122,129,130,131,147,150,
151,166,172,184,202,215,237,264,291],[1,3,9,24,27,28,29,43,44,47,48,72,76,77,
101,109,120,129,130,131,147,150,151,170,176,190,207,215,237,265,292],[1,2,3,4,
5,6,7,11,12,13,16,17,28,30,31,33,35,36,43,46,47,50,54,55,56,61,74,80,81,98,
113,114,125,131,140,150,152,155,157,158,174,177,178,179,205,210,216,217,219,
228,231,238,244,245,246,266,267,293],[1,2,4,6,7,11,14,16,28,30,32,33,36,46,51,
54,57,74,80,82,113,126,131,152,155,158,174,177,180,210,216,218,219,231,239,
244,248,266,268,294],[1,2,4,6,7,11,15,16,28,30,33,36,46,52,54,58,74,80,113,
127,131,152,155,158,174,177,181,210,216,219,231,240,244,249,266,295],[1,2,4,6,
7,11,14,16,28,33,36,46,49,54,57,74,113,124,131,152,155,158,174,177,180,210,
219,231,241,244,248,296],[1,2,4,6,8,11,14,18,28,32,39,46,49,75,115,128,131,
152,155,158,175,177,180,211,218,233,241,297],[1,2,3,5,6,7,8,9,10,13,16,17,18,
19,20,21,22,23,24,25,26,28,35,36,37,38,39,40,41,43,46,47,53,56,59,61,64,65,66,
68,74,75,76,77,78,84,85,86,95,96,97,98,99,100,101,102,113,114,115,116,117,118,
119,120,121,122,131,132,139,140,141,142,143,144,150,152,154,157,158,162,163,
164,172,174,175,176,179,183,202,203,204,205,206,207,208,210,211,212,213,227,
228,229,230,231,232,233,243,246,247,256,257,258,271,272,273,298],[1,2,3,5,10,
20,25,26,27,28,29,41,42,43,44,45,46,47,48,60,61,68,73,78,94,95,96,97,102,111,
112,118,122,129,130,131,138,139,144,147,148,149,150,151,152,156,157,171,172,
191,197,201,202,203,204,215,226,227,235,236,237,250,260,275,276,277,299],[1,2,
3,5,7,16,17,27,28,29,35,42,43,44,45,46,47,48,60,61,67,74,87,88,89,98,113,114,
129,130,131,133,140,147,148,149,150,151,152,156,157,167,174,187,192,193,205,
210,215,222,228,235,236,237,250,261,278,283,284,300],[1,2,3,5,8,18,21,27,28,
29,37,42,43,44,45,46,47,48,60,61,69,75,90,99,103,104,115,119,129,130,131,134,
141,147,148,149,150,151,152,156,157,168,175,188,194,198,206,211,215,223,229,
235,236,237,250,262,279,285,289,301],[1,2,3,5,9,19,23,24,27,28,29,40,42,43,44,
45,46,47,48,60,61,70,76,77,79,91,100,101,105,106,116,117,120,121,123,129,130,
131,135,142,143,147,148,149,150,151,152,156,157,169,173,176,189,195,199,207,
208,209,212,215,224,230,235,236,237,250,263,280,286,290,302],[1,2,3,5,10,20,
25,26,27,28,29,41,42,43,44,45,46,47,48,60,61,68,71,78,92,95,96,97,102,107,108,
118,122,129,130,131,136,139,144,147,148,149,150,151,152,156,157,166,172,184,
185,186,202,203,204,215,221,227,235,236,237,250,264,281,287,291,303],[1,2,3,5,
9,19,23,24,27,28,29,40,42,43,44,45,46,47,48,60,61,72,76,77,93,100,101,109,110,
116,117,120,121,129,130,131,137,142,143,147,148,149,150,151,152,156,157,170,
176,190,196,200,207,208,212,215,225,230,235,236,237,250,265,282,288,292,304],[
1,2,3,4,5,6,7,11,12,13,14,15,16,17,28,30,31,32,33,34,35,36,43,46,47,50,51,52,
54,55,56,57,58,61,63,74,80,81,82,83,98,113,114,125,126,127,131,140,146,150,
152,155,157,158,174,177,178,179,180,181,205,210,216,217,218,219,220,228,231,
238,239,240,244,245,246,248,249,251,266,267,268,269,293,294,295,305],[1,2,3,4,
5,6,7,11,12,13,14,15,16,17,28,31,33,34,35,36,43,46,47,49,54,55,56,57,58,61,62,
74,81,83,98,113,114,124,131,140,145,150,152,155,157,158,174,177,178,179,180,
181,205,210,217,219,220,228,231,241,244,245,246,248,249,252,267,269,296,306],[
1,7,8,9,10,27,28,29,53,67,68,69,70,71,72,73,74,75,76,77,78,79,129,130,131,153,
154,166,167,168,169,170,171,172,173,174,175,176,215,242,243,260,261,262,263,
264,265,307],[1,3,7,8,9,10,17,21,23,24,25,26,27,28,29,43,45,47,53,65,67,68,69,
70,71,72,73,74,75,76,77,78,79,89,95,97,98,99,100,101,102,104,106,108,110,112,
114,119,120,121,122,129,130,131,149,150,153,154,161,162,164,166,167,168,169,
170,171,172,173,174,175,176,186,193,198,199,200,201,202,204,205,206,207,208,
215,235,242,243,255,256,260,261,262,263,264,265,275,278,279,280,281,282,307,
308],[1,2,7,8,9,10,16,18,19,20,27,28,29,42,46,53,64,67,68,69,70,71,72,73,74,
75,76,77,78,79,87,90,91,92,93,94,96,113,115,116,117,118,129,130,131,148,152,
153,154,159,163,166,167,168,169,170,171,172,173,174,175,176,185,192,194,195,
196,197,203,210,211,212,215,236,242,243,254,257,260,261,262,263,264,265,276,
283,285,286,287,288,307,309],[1,3,7,8,9,10,17,21,23,24,25,26,27,28,29,43,44,
47,48,53,65,67,68,69,70,71,72,73,74,75,76,77,78,79,88,95,97,98,99,100,101,102,
103,105,107,109,111,114,119,120,121,122,123,129,130,131,147,150,151,153,154,
160,162,164,166,167,168,169,170,171,172,173,174,175,176,184,187,188,189,190,
191,202,204,205,206,207,208,209,215,237,242,243,253,256,260,261,262,263,264,
265,277,284,289,290,291,292,307,310],[1,2,4,6,7,8,9,10,11,14,16,18,19,20,28,
32,33,36,39,46,49,53,54,57,64,68,74,75,76,77,78,82,86,96,113,115,116,117,118,
124,128,131,152,154,155,158,163,165,172,174,175,176,177,180,203,210,211,212,
218,219,231,233,241,243,244,248,257,268,273,296,297,311],[1,2,3,5,7,8,9,10,16,
17,18,19,20,21,23,24,25,26,27,28,29,35,37,40,41,42,43,44,45,46,47,48,53,60,61,
64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,84,87,88,89,90,91,92,93,94,95,96,
97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,
117,118,119,120,121,122,123,129,130,131,133,134,135,136,137,138,139,140,141,
142,143,144,147,148,149,150,151,152,153,154,156,157,159,160,161,162,163,164,
166,167,168,169,170,171,172,173,174,175,176,182,183,184,185,186,187,188,189,
190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,
209,210,211,212,215,221,222,223,224,225,226,227,228,229,230,235,236,237,242,
243,250,253,254,255,256,257,260,261,262,263,264,265,270,271,275,276,277,278,
279,280,281,282,283,284,285,286,287,288,289,290,291,292,299,300,301,302,303,
304,307,308,309,310,312],[1,2,4,6,8,11,14,18,27,28,29,30,32,39,42,46,49,51,69,
75,90,115,128,129,130,131,148,152,155,158,168,175,177,180,194,211,214,215,216,
218,233,236,239,241,262,285,297,313],[1,2,3,4,5,6,8,11,12,13,14,15,18,21,22,
27,28,29,30,31,32,34,37,38,39,42,43,44,45,46,47,48,49,50,51,52,59,60,61,62,63,
69,75,90,99,103,104,115,119,128,129,130,131,134,141,147,148,149,150,151,152,
155,156,157,158,168,175,177,178,179,180,181,188,194,198,206,211,213,214,215,
216,217,218,220,223,229,232,233,234,235,236,237,238,239,240,241,247,250,251,
252,262,279,285,289,297,301,313,314],[1,2,4,6,7,8,9,10,11,14,16,18,19,20,27,
28,29,30,32,33,36,39,42,46,49,51,53,54,57,64,67,68,69,70,71,72,73,74,75,76,77,
78,79,80,82,86,87,90,91,92,93,94,96,113,115,116,117,118,124,126,128,129,130,
131,148,152,153,154,155,158,159,163,165,166,167,168,169,170,171,172,173,174,
175,176,177,180,185,192,194,195,196,197,203,210,211,212,214,215,216,218,219,
231,233,236,239,241,242,243,244,248,254,257,259,260,261,262,263,264,265,266,
268,273,276,283,285,286,287,288,294,296,297,307,309,311,313,315],[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]],
0,
[[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,
3,1,1],[1,1,4,2,1,1],[1,1,3,1],[1,1,1,1],[1,1,1,1],[1,1,1,1],[1,1,1,1],[1,1,1,
1],[1,1,1,1],[1,1,1,1],[1,5,1,1],[1,1,1,1],[1,1,1,1],[1,1,1,1],[1,1,1,1],[1,
1],[1,1],[1,1],[1,1,1,1,1,1],[1,1,6,1,3,1,2,1],[1,1,1,3,1,1],[1,1,1,1],[1,1,4,
2,3,1,1,1,1],[1,1,2,1,1,1,2,1],[1,1,1,1,1,1],[1,1,2,1,1,1,2,1],[1,1,10,5,1,1,
2,1],[1,1,5,1,1,1],[1,1,2,1,1,1,1,1,1],[1,1,2,1,1,1,1,1,1],[1,1,1,1],[1,1,1,
1],[1,11,1,1],[1,11,1,1],[1,11,1,1],[1,11,1,1],[1,11,1,1],[1,1,4,3,4,1,1],[1,
1,12,1,6,1,1,4,3,1,2,1],[1,1,1,7,1,3,1,2,1],[1,1,1,1,1,1,1,1],[1,1,1,2,2,1],[
1,1,1,1,1,1,1,1],[1,3,1,1,1,3,1,1],[1,1,4,2,1,1,1,1,4,2,1,1],[1,1,3,1,1,1,3,
1],[1,1,1,1,1,1,1,1],[1,1,12,6,5,1,5,1,2,2,1,1,1,1],[1,1,22,11,1,1,1,1,1],[1,
11,12,11,1,1,1,1,1],[1,1,12,4,6,3,4,8,3,1,3,4,3,1,1],[1,1,12,1,6,7,1,4,3,3,1,
1,2,2,3,1,1,1,1],[1,1,1,1,2,2,1,1,2,2,1,1],[1,1,1,1,2,2,1,1,1,1,1,1,1,1],[1,5,
1,1,2,2,5,1,1,1],[1,1,1,1],[1,1,1,1],[1,11,1,1],[1,11,1,1],[1,11,1,1],[1,11,1,
1],[1,11,1,1],[1,11,1,1],[1,11,1,1],[1,11,1,1],[1,11,1,1],[1,11,1,1],[1,11,1,
1],[1,1,1,1,1,1,1,1,1,1,1,1],[1,1,6,1,3,1,1,2,1,6,1,1,3,1,2,1],[1,1,1,3,1,1,1,
1,1,3,1,1],[1,1,4,2,3,1,1,1,1,1,4,1,2,3,1,1,1,1],[1,1,2,1,1,1,2,2,1,2,1,2,2,2,
2,2,2,2,1,1,2,2,1,1,2,1],[1,1,10,5,1,1,2,2,1,10,1,2,2,2,5,1,1,1,2,1],[1,1,5,1,
1,2,2,1,1,2,2,5,1,1,1,1],[1,1,1,1,1,1,1,1],[1,11,1,11,1,1,1,1],[1,11,1,11,1,1,
1,1],[1,1,11,11,1,1,1,1],[1,1,11,11,1,1,1,1],[1,1,11,11,1,1,1,1],[1,1,11,11,1,
1,1,1],[1,1,11,11,1,1,1,1],[1,1,1,1,1,1,1,1],[1,11,1,11,1,1,1,1],[1,11,1,11,1,
1,1,1],[1,1,11,11,1,1,1,1],[1,1,11,11,1,1,1,1],[1,1,11,11,1,1,1,1],[1,1,11,11,
1,1,1,1],[1,1,11,11,1,1,1,1],[1,11,11,11,1,1,1,1],[1,11,11,11,1,1,1,1],[1,11,
11,11,1,1,1,1],[1,11,11,11,1,1,1,1],[1,11,11,11,1,1,1,1],[1,11,11,11,1,1,1,
1],[1,11,11,11,1,1,1,1],[1,11,11,11,1,1,1,1],[1,11,11,11,1,1,1,1],[1,11,11,11,
1,1,1,1],[1,11,11,11,1,1,1,1],[1,11,11,11,1,1,1,1],[1,11,11,11,1,1,1,1],[1,11,
11,11,1,1,1,1],[1,11,11,11,1,1,1,1],[1,11,11,11,1,1,1,1],[1,11,11,11,1,1,1,
1],[1,11,11,11,1,1,1,1],[1,11,11,11,1,1,1,1],[1,11,11,11,1,1,1,1],[1,11,11,11,
1,1,1,1],[1,1,4,3,1,4,1,1,4,3,1,4,1,1],[1,1,12,1,6,1,1,1,4,3,1,12,1,2,1,6,1,1,
1,4,3,1,2,1],[1,1,1,7,1,1,3,1,1,2,1,7,1,1,3,1,2,1],[1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1],[1,1,10,15,6,10,5,6,10,6,5,1],[1,11,1,1],[1,1,11,1],[1,12,1],[1,1,12,6,
5,1,1,2,2,5,1,12,1,2,2,2,2,2,2,2,2,6,5,1,1,1,2,2,1,5,1,1,2,2,1,1,1,1],[1,1,22,
11,1,1,22,1,11,1,1,1,1,1,1,1,1,1],[1,1,22,11,11,11,22,1,11,1,1,1,1,1,1,1,1,
1],[1,1,22,11,11,11,11,11,1,11,1,1,1,1,1,1,1,1,1],[1,1,22,11,11,11,11,11,1,11,
1,1,1,1,1,1,1,1,1],[1,1,22,11,11,11,11,11,1,11,1,1,1,1,1,1,1,1,1],[1,1,22,11,
11,11,11,11,1,11,1,1,1,1,1,1,1,1,1],[1,11,12,11,1,11,1,11,1,11,1,1,1,1,1,1,1,
1,1],[1,11,12,11,11,11,22,1,11,1,1,1,1,1,1,1,1,1],[1,11,12,11,11,11,22,1,11,1,
1,1,1,1,1,1,1,1],[1,11,12,11,11,11,11,11,1,11,1,1,1,1,1,1,1,1,1],[1,11,12,11,
11,11,11,11,1,11,1,1,1,1,1,1,1,1,1],[1,11,12,11,11,11,11,11,1,11,1,1,1,1,1,1,
1,1,1],[1,1,12,4,6,3,1,4,8,3,1,3,1,12,4,4,3,6,3,1,4,8,3,1,3,1,4,3,1,1],[1,1,
12,1,6,7,1,1,4,3,3,1,1,12,1,2,2,1,3,6,7,1,1,1,1,4,3,3,1,1,1,2,2,3,1,1,1,1],[1,
11,11,1,11,1,1,1],[1,11,11,1,11,1,1,1],[1,121,11,1,121,11,1,1],[1,11,12,11,1,
1,1],[1,11,1,11,11,1,1,1],[1,121,12,132,1,1],[1,1,11,22,22,1,11,1,1,1,1,1,1,
1],[1,11,11,22,12,1,11,1,1,1,1,1,1,1],[1,121,12,1,1],[1,11,132,121,11,1,11,11,
1,121,1,11,11,11,1,1,1,1,1],[1,121,22,121,12,22,132,2,22,1,2,1,1],[1,121,121,
12,132,1,1,1],[1,1,1,11,22,22,1,11,22,22,1,1,11,11,1,1,1,1,1,1,1,1,1,1,1,1,1,
1],[1,11,1,11,22,22,11,11,11,11,11,11,1,1,11,11,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[
1,11,1,11,22,22,11,11,11,11,11,11,1,1,11,11,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,
11,11,22,12,11,11,11,11,1,11,1,1,11,11,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,11,11,
11,22,12,11,11,22,22,1,1,11,11,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,11,11,11,22,12,
11,11,11,11,11,11,1,1,11,11,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,10,15,1,6,12,12,
10,5,1,6,12,12,10,10,15,6,5,6,10,5,6,10,6,5,1,1],[1,11,11,1,11,1,1,1],[1,11,
11,1,11,1,1,1],[1,121,11,1,11,11,1,1],[1,121,11,1,11,11,1,1],[1,121,11,1,11,
11,1,1],[1,121,11,1,121,11,1,1],[1,11,12,11,1,1,1],[1,121,1,11,11,11,1,1],[1,
121,12,132,1,1],[1,121,12,22,1,1],[1,121,12,11,11,1,1],[1,121,121,121,12,132,
1,1,1,1],[1,33,121,121,12,33,3,1,3,1,1],[1,121,44,242,121,121,12,44,132,4,44,
1,4,1,2,1,1],[1,121,363,121,12,132,1,1,3,1],[1,121,121,121,12,132,1,1,1,1],[1,
1,22,11,1,11,22,22,1,22,11,22,22,22,22,22,22,22,1,11,11,22,22,1,1,1,11,1,11,
22,1,1,1,1,1,1,11,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[
1,11,12,11,11,11,22,12,11,22,11,22,22,22,22,22,12,22,1,11,11,22,22,1,1,1,11,1,
11,22,1,1,1,1,1,1,11,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1],[1,11,11,11,11,1,11,1,11,1,11,1,1,1,1,1],[1,11,11,121,11,1,11,1,11,1,11,11,
1,1,1,1],[1,121,11,121,11,1,121,11,11,1,11,11,1,1,1,1],[1,11,11,121,11,1,11,1,
11,1,11,11,1,1,1,1],[1,11,121,121,11,1,11,1,11,11,11,11,1,1,1,1],[1,11,121,
121,11,1,11,1,11,11,11,11,1,1,1,1],[1,11,121,121,11,1,11,1,11,11,11,11,1,1,1,
1],[1,11,121,121,11,1,11,1,121,11,11,11,1,1,1,1],[1,11,11,11,11,1,11,1,11,1,
11,1,1,1,1,1],[1,121,11,121,11,1,121,11,11,1,11,11,1,1,1,1],[1,11,121,121,11,
1,11,1,11,11,11,11,1,1,1,1],[1,11,121,121,11,1,11,1,11,11,11,11,1,1,1,1],[1,
11,121,121,11,1,11,1,11,11,11,11,1,1,1,1],[1,11,121,121,11,1,11,1,121,11,11,
11,1,1,1,1],[1,121,121,121,11,1,121,11,11,11,11,11,1,1,1,1],[1,121,121,121,11,
1,121,11,11,11,11,11,1,1,1,1],[1,121,121,121,11,1,121,11,11,11,11,11,1,1,1,
1],[1,121,121,121,11,1,121,11,121,11,121,11,1,1,1,1],[1,11,11,11,12,11,1,11,1,
11,1,1,1,1,1],[1,121,11,121,12,132,11,1,11,11,1,1,1,1],[1,11,11,121,12,11,1,
11,1,11,11,1,1,1,1],[1,11,121,121,12,11,1,132,11,11,1,1,1,1],[1,11,121,121,12,
11,1,22,11,11,1,1,1,1],[1,11,121,121,12,11,1,11,11,11,11,1,1,1,1],[1,11,121,
121,12,11,1,11,11,11,11,1,1,1,1],[1,11,121,121,1,11,11,1,11,11,11,11,1,1,1,
1],[1,121,121,121,12,132,132,132,1,1,1,1],[1,121,121,121,12,132,22,22,1,1,1,
1],[1,121,121,121,12,132,11,11,11,11,1,1,1,1],[1,55,121,121,12,55,5,22,1,5,1,
1],[1,1,55,55,66,55,55,66,12,55,110,66,12,55,55,12,12,22,1],[1,11,12,110,1,10,
1,1],[1,121,121,121,121,12,121,132,1,1,1,1,1,1],[1,121,66,121,363,121,242,12,
121,66,132,6,66,1,6,1,1,3,1,2,1],[1,121,121,363,121,12,121,132,1,1,1,3,1,1],[
1,121,121,12,121,132,1,1,1,1],[1,121,44,242,363,121,121,121,12,121,44,132,4,
44,1,4,1,2,3,1,1,1,1],[1,11,132,121,11,121,11,121,11,1,121,11,11,1,121,1,11,
11,11,11,1,11,11,11,11,1,11,1,11,11,1,1,1,1,1,1,1,1,1],[1,11,132,121,11,11,
242,11,1,121,11,11,1,121,1,11,11,11,11,1,11,11,11,11,1,11,1,11,11,1,1,1,1,1,1,
1,1,1],[1,11,132,121,121,121,242,11,1,121,11,11,1,121,1,11,11,11,11,11,11,11,
11,11,11,11,1,11,11,1,1,1,1,1,1,1,1,1],[1,11,132,121,121,121,121,121,11,1,121,
11,11,1,121,1,11,11,11,11,11,11,11,11,11,11,11,1,11,11,1,1,1,1,1,1,1,1,1],[1,
11,132,121,121,121,121,121,11,1,121,11,11,1,121,1,11,11,11,11,11,11,11,11,11,
11,11,1,11,11,1,1,1,1,1,1,1,1,1],[1,11,132,121,121,121,121,121,11,1,121,11,11,
1,121,1,11,11,11,121,11,11,11,11,121,11,11,1,11,11,1,1,1,1,1,1,1,1,1],[1,121,
22,121,11,121,11,121,12,121,22,132,2,22,11,1,11,11,11,11,11,1,1,11,11,2,1,1,1,
1,1,1,1],[1,121,22,121,121,121,242,12,121,22,132,2,22,132,22,132,22,1,22,2,1,
1,1,2,1,1],[1,121,22,121,121,121,242,12,121,22,132,2,22,22,22,22,22,1,22,2,1,
1,1,2,1,1],[1,121,22,121,121,121,121,121,12,121,22,132,2,22,11,11,11,11,11,11,
11,11,1,11,11,2,1,1,1,1,1,1,1],[1,121,121,121,121,12,121,132,132,132,1,1,1,1,
1,1],[1,121,110,605,121,121,242,12,121,110,132,10,110,22,22,1,10,1,5,1,1,2,
1],[1,121,605,121,121,12,121,132,22,22,1,1,5,1,1,1],[1,1,132,55,66,55,66,55,
220,165,55,55,66,132,132,12,55,110,110,165,66,66,66,12,12,12,55,55,55,55,66,
12,55,55,12,12,12,12,22,12,1,1],[1,121,11,12,110,121,121,11,1,10,1,1,11,1,1],[
1,121,11,12,110,121,132,1,10,1,11,1,1,1],[1,121,11,12,110,121,11,11,110,1,10,
1,11,11,110,1,1],[1,121,132,121,726,121,121,484,363,12,121,242,132,132,12,121,
132,1,12,1,1,6,1,1,4,3,1,2,1],[1,121,121,847,121,363,12,121,242,132,121,1,1,1,
7,1,3,1,2,1],[1,121,121,121,121,121,12,121,132,121,1,1,1,1,1,1,1,1],[1,121,
484,363,484,121,12,132,121,1,1,4,3,4,1,1],[1,11,121,242,132,11,1,121,11,11,11,
11,1,11,121,1,11,11,11,11,1,11,11,1,1,1,1,1,1,1],[1,121,121,242,22,12,121,22,
132,22,22,22,2,1,22,2,1,1,2,1],[1,121,121,121,121,121,12,121,132,121,132,132,
1,1,1,1,1,1,1,1],[1,33,121,121,121,363,12,121,33,3,121,132,33,33,1,3,1,1,1,3,
1,1],[1,121,44,242,121,121,121,121,484,12,242,121,44,132,4,121,44,132,44,132,
44,1,44,4,1,2,1,1,1,4,1,2,1,1],[1,121,132,726,605,121,605,121,242,242,12,121,
121,121,132,132,12,121,132,22,22,22,22,1,22,12,1,6,5,1,5,2,1,2,1,1,1,1],[1,
121,363,121,121,121,12,363,132,121,132,132,1,1,3,1,1,1,3,1],[1,121,121,121,
121,121,12,121,132,121,132,132,1,1,1,1,1,1,1,1],[1,121,242,1331,11,12,110,121,
242,11,121,132,22,110,121,242,1,10,1,11,11,1,22,110,1,11,11,1,1,1,1,1],[1,121,
132,121,726,847,121,484,363,363,121,12,121,242,242,363,132,132,12,121,121,121,
132,121,1,12,1,1,6,7,1,4,3,3,1,1,2,2,3,1,1,1,1],[1,121,132,484,726,363,484,
968,363,121,363,12,484,363,132,132,12,121,132,121,1,12,1,4,6,3,4,8,3,1,3,4,3,
1,1],[1,11,11,121,242,132,121,121,121,121,11,121,11,1,11,1,121,121,11,11,11,
11,1,11,121,1,11,11,11,11,11,11,11,11,11,11,11,11,11,1,11,11,1,1,11,11,11,11,
1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,11,11,121,242,132,11,121,242,242,11,1,11,1,
121,121,11,11,11,11,1,11,121,1,11,11,11,11,11,11,11,11,11,11,11,1,11,11,11,11,
1,1,11,11,11,11,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,121,11,121,242,132,121,121,
121,121,121,121,11,1,121,11,121,121,11,11,11,11,1,11,121,1,11,11,11,11,11,11,
11,11,11,11,121,11,11,11,11,11,1,1,11,11,11,11,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[
1,11,121,121,242,22,121,121,121,121,11,121,12,11,1,121,121,22,132,22,22,22,2,
11,11,11,11,11,11,11,11,11,11,11,1,1,1,22,11,11,2,1,1,2,1,1,1,1,1,1,1,1],[1,
121,121,121,242,22,121,121,242,242,12,132,121,121,22,132,22,22,22,2,22,132,22,
22,22,22,1,1,22,22,2,1,1,2,2,1,1,2,1,1],[1,55,121,121,242,22,605,121,12,55,5,
121,121,22,132,22,22,22,2,55,55,1,5,22,2,1,1,2,5,1,1,1],[1,1,55,55,1,66,132,
132,55,55,1,66,132,132,12,55,110,55,55,66,12,55,55,66,55,55,66,12,12,12,12,12,
12,55,110,66,12,12,12,12,12,12,55,55,22,12,12,22,1,1],[1,121,11,12,110,121,
121,11,1,10,1,1,11,1,1],[1,121,11,12,110,121,132,1,10,1,11,1,1,1],[1,1331,11,
12,110,121,242,1,10,1,11,11,1,1],[1,1331,11,12,110,121,121,121,1210,1,10,1,11,
110,11,1,1],[1,121,11,12,110,121,11,11,1,10,1,11,11,1,1],[1,1331,11,12,110,
121,121,121,1,10,1,11,11,1,1],[1,121,121,121,121,121,121,12,121,121,121,132,
121,132,121,132,1,1,1,1,1,1,1,1,1,1,1,1],[1,121,66,121,363,121,121,242,121,
726,12,121,121,363,66,132,6,121,242,66,132,121,66,132,66,1,66,6,1,1,3,1,1,2,6,
1,1,1,3,1,2,1],[1,121,121,363,121,121,121,12,121,121,363,132,121,132,121,132,
1,1,1,3,1,1,1,1,1,3,1,1],[1,121,44,242,363,121,121,121,121,121,484,12,121,242,
363,44,132,4,121,121,121,44,132,121,44,132,44,1,44,4,1,2,3,1,1,1,1,4,1,1,2,3,
1,1,1,1],[1,11,132,121,11,121,242,132,11,242,121,242,242,242,242,242,132,242,
11,1,121,121,242,242,11,11,1,121,1,11,121,11,11,121,242,11,11,11,11,1,11,121,
1,11,11,11,11,121,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,
1,11,11,11,11,121,1,11,11,11,11,11,11,11,11,11,1,11,11,11,11,11,11,11,11,11,
11,11,11,1,1,1,11,11,1,11,11,11,11,11,11,1,1,1,1,1,1,11,11,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,121,22,121,121,121,242,22,121,242,
121,242,242,242,242,242,22,242,12,121,121,242,242,22,132,2,121,22,121,242,22,
132,22,22,22,2,121,22,22,22,22,22,22,22,22,132,22,22,22,22,22,22,22,22,2,1,22,
22,22,22,22,22,2,1,22,1,22,22,22,2,1,1,2,22,2,2,2,2,2,2,2,1,1,2,2,1,1,2,1,2,1,
1],[1,121,110,605,121,121,242,22,121,1210,121,242,242,242,12,605,121,110,132,
10,121,110,121,242,22,132,22,22,22,2,121,22,110,132,110,22,22,22,22,1,110,10,
1,22,5,22,2,1,1,2,2,10,1,1,2,2,5,1,1,1,2,1],[1,121,605,121,121,242,22,121,121,
242,242,12,605,121,132,121,121,22,132,22,22,22,2,121,22,132,22,22,22,22,1,1,
22,5,22,2,1,1,2,2,1,1,2,5,1,1,1,1],[1,1,132,55,66,55,1,66,132,132,55,220,165,
55,55,1,132,66,132,132,132,132,132,132,132,132,12,55,110,110,55,165,66,55,66,
66,66,132,132,12,12,12,55,55,55,55,66,55,220,165,55,55,66,12,55,55,66,132,132,
12,12,12,12,12,12,55,110,110,165,66,66,66,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,55,55,55,55,22,66,12,12,12,12,12,12,55,55,12,12,12,12,22,12,
1,1,1,1],[1,121,121,121,11,12,110,121,121,11,121,121,11,121,121,11,1,10,1,1,
11,1,11,1,11,1,1,1,1],[1,121,121,1331,11,12,110,121,132,121,121,11,121,121,
121,1,10,1,11,1,1,11,11,11,1,1,1,1],[1,121,121,1331,11,12,110,121,11,11,110,
121,121,11,121,121,121,1,10,1,11,11,110,1,11,11,11,1,1,1,1],[1,121,121,1331,
11,12,110,121,121,11,121,132,121,121,121,1,10,1,1,11,11,1,11,11,1,1,1,1],[1,
121,1331,1331,11,12,110,121,121,11,121,242,121,121,121,1,10,1,1,11,11,11,11,
11,1,1,1,1],[1,121,1331,1331,11,12,110,121,121,11,121,121,121,1210,121,121,
121,1,10,1,1,11,11,110,11,11,11,1,1,1,1],[1,121,121,1331,11,12,110,121,121,11,
121,11,11,121,121,121,1,10,1,1,11,11,11,11,11,1,1,1,1],[1,121,1331,1331,11,12,
110,121,121,11,121,121,121,121,121,121,1,10,1,1,11,11,11,11,11,1,1,1,1],[1,
121,121,121,11,12,110,121,132,121,132,121,132,1,10,1,11,1,11,1,11,1,1,1,1,1],[
1,121,121,1331,11,12,110,121,11,11,110,121,132,121,121,121,1,10,1,11,11,110,
11,1,11,11,1,1,1,1],[1,121,1331,1331,11,12,110,121,132,121,242,121,242,1,10,1,
11,1,11,11,11,11,1,1,1,1],[1,121,1331,1331,11,12,110,121,132,121,121,121,1210,
121,121,121,1,10,1,11,1,11,110,11,11,11,1,1,1,1],[1,121,121,1331,11,12,110,
121,132,121,11,11,121,121,121,1,10,1,11,1,11,11,11,11,1,1,1,1],[1,121,1331,
1331,11,12,110,121,132,121,121,121,121,121,121,1,10,1,11,1,11,11,11,11,1,1,1,
1],[1,121,1331,1331,11,12,110,121,11,11,110,121,242,121,121,121,1,10,1,11,11,
110,11,11,11,11,1,1,1,1],[1,121,1331,1331,11,12,110,121,11,11,110,121,121,121,
1210,121,121,121,1210,1,10,1,11,11,110,11,110,11,11,11,110,1,1,1,1],[1,121,
121,121,11,12,110,121,11,11,110,121,11,11,121,11,11,1,10,1,11,11,110,11,11,11,
11,1,1,1,1],[1,121,1331,1331,11,12,110,121,11,11,110,121,121,121,121,121,121,
1,10,1,11,11,110,11,11,11,11,1,1,1,1],[1,121,132,121,726,121,121,121,484,363,
121,1452,12,121,242,121,726,121,132,132,12,121,121,484,363,132,132,121,242,
132,132,132,121,1,132,12,1,1,6,1,1,1,4,3,12,1,1,2,1,6,1,1,1,4,3,1,2,1],[1,121,
121,847,121,121,363,121,12,121,242,121,847,132,121,121,363,132,121,242,132,
121,1,1,1,7,1,1,3,1,1,2,1,7,1,1,3,1,2,1],[1,121,121,121,121,121,121,121,12,
121,121,121,132,121,121,121,132,121,132,121,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[
1,121,484,363,121,484,121,121,12,484,363,132,121,484,121,132,132,121,1,1,4,3,
1,4,1,1,4,3,1,4,1,1],[1,121,1210,1815,726,1210,605,726,12,1210,726,132,605,
132,132,121,1,1,10,15,6,10,5,6,10,6,5,1],[1,121,132,726,605,121,121,242,22,
605,121,1452,121,242,242,242,242,242,242,22,242,12,726,605,121,121,121,242,
242,132,132,12,121,605,121,132,121,242,242,22,132,22,22,22,2,121,121,121,22,
22,22,132,22,22,22,22,132,132,22,22,22,22,22,22,22,2,1,121,22,132,22,22,22,22,
12,1,22,6,5,22,22,22,2,1,1,2,5,22,2,2,2,12,2,2,2,1,1,2,2,2,6,1,2,5,1,1,1,5,1,
2,1,2,1,1,1,1],[1,121,242,1331,121,1331,121,1331,11,12,110,1331,121,242,11,
121,132,22,110,121,242,121,121,11,121,121,121,121,121,121,121,121,11,1,10,1,
121,121,121,11,11,1,22,110,1,11,11,1,11,11,11,1,11,11,11,1,11,11,1,1,1,1,1,1,
1,1,1],[1,121,242,1331,121,121,2662,11,12,110,1331,121,242,11,121,132,22,110,
121,242,121,132,121,121,121,242,132,242,1,10,1,121,242,11,11,1,22,110,1,11,11,
11,1,11,11,11,22,1,1,11,11,1,1,1,1,1,1,1,1,1],[1,121,242,1331,1331,1331,2662,
11,12,110,1331,121,242,11,121,132,22,110,121,242,121,242,121,242,121,121,242,
242,1,10,1,121,242,11,11,1,22,110,1,11,11,11,11,11,11,11,22,11,1,11,11,1,1,1,
1,1,1,1,1,1],[1,121,242,1331,1331,1331,1331,1331,11,12,110,1331,121,242,11,
121,132,22,110,121,242,121,121,121,1210,121,121,121,121,121,121,121,121,121,
1210,1,10,1,121,121,121,11,11,1,22,110,1,11,11,11,110,11,11,11,11,11,11,110,
11,1,11,11,1,1,1,1,1,1,1,1,1],[1,121,242,1331,121,1331,121,1331,11,12,110,
1331,121,242,11,121,132,22,110,121,242,121,11,11,121,121,121,121,121,11,121,
121,11,1,10,1,121,121,121,11,11,1,22,110,1,11,11,11,11,11,11,11,11,11,11,1,11,
11,1,1,1,1,1,1,1,1,1],[1,121,242,1331,1331,1331,1331,1331,11,12,110,1331,121,
242,11,121,132,22,110,121,242,121,121,121,121,121,121,121,121,121,121,121,121,
1,10,1,121,121,121,11,11,1,22,110,1,11,11,11,11,11,11,11,11,11,11,1,11,11,1,1,
1,1,1,1,1,1,1],[1,121,132,121,726,847,121,121,484,363,363,121,121,1452,12,121,
242,242,121,363,726,847,132,132,12,121,121,121,121,484,363,363,121,132,121,
132,121,242,242,363,132,132,132,121,121,121,1,132,121,12,1,1,6,7,1,1,4,3,3,1,
12,1,1,2,2,1,3,6,7,1,1,1,1,4,3,3,1,1,1,2,2,3,1,1,1,1],[1,121,132,484,726,363,
121,484,968,363,121,363,121,1452,12,484,484,363,726,363,132,132,12,121,484,
968,363,121,363,132,121,132,484,363,132,132,132,121,1,132,121,12,1,4,6,3,1,4,
8,3,1,3,12,1,4,4,3,6,3,1,4,8,3,1,3,1,4,3,1,1],[1,121,1331,2662,242,11,12,110,
1331,121,242,121,121,11,121,121,132,242,242,242,22,1210,1,10,1,121,242,11,11,
11,11,11,1,22,110,1,11,22,1,11,11,1,1,1,1,1,1,1],[1,121,121,1331,2662,242,
1331,1331,1331,1331,121,1331,11,12,110,121,121,11,1331,1331,121,242,121,121,
11,121,121,132,242,242,242,22,1210,121,121,121,121,121,121,121,121,121,121,
121,121,121,121,121,121,121,11,1,10,1,1,11,121,242,121,121,121,11,11,11,11,11,
1,22,110,1,11,22,11,11,11,11,11,1,11,11,11,11,11,11,1,1,11,11,11,11,1,1,1,1,1,
1,1,1,1,1,1,1,1,1],[1,121,121,1331,2662,242,121,1331,2662,2662,11,12,110,121,
132,1331,1331,121,242,121,121,11,121,121,132,242,242,242,22,1210,121,121,121,
121,121,121,242,132,242,242,242,242,1,10,1,11,1,121,242,121,242,11,11,11,11,
11,1,22,110,1,11,22,11,11,11,11,11,11,22,1,11,22,1,1,11,11,11,11,1,1,1,1,1,1,
1,1,1,1,1,1,1,1],[1,121,121,1331,2662,242,1331,1331,1331,1331,121,1331,11,12,
110,121,11,11,110,1331,1331,121,242,121,121,11,121,121,132,242,242,242,22,
1210,121,121,121,121,121,121,121,121,121,121,11,121,121,121,121,121,121,11,
1210,1,10,1,11,11,110,121,242,121,121,121,11,11,11,11,11,1,22,110,1,11,22,11,
11,11,11,11,11,11,11,11,11,11,11,110,1,1,11,11,11,11,1,1,1,1,1,1,1,1,1,1,1,1,
1,1],[1,121,1210,1815,121,726,1452,132,1210,605,121,726,1452,1452,12,1210,
1210,1815,726,132,605,726,1210,605,726,132,132,132,132,132,12,1210,726,132,
132,132,132,132,132,605,121,1,1,132,10,15,132,121,12,1,6,12,10,5,12,1,6,12,10,
10,15,6,5,6,10,5,6,10,6,5,1,1],[1,121,242,1331,121,1331,2662,242,121,2662,
1331,2662,2662,2662,2662,2662,242,2662,11,12,110,1331,1331,2662,2662,121,242,
11,121,132,22,110,1331,121,242,1331,2662,121,242,121,121,11,121,121,132,242,
242,242,22,1210,1331,121,121,121,121,121,121,121,121,242,242,242,242,242,242,
242,242,121,121,121,121,11,121,121,121,121,121,132,242,242,242,242,242,242,
242,242,22,1210,1,10,1,121,121,121,121,121,121,242,242,242,242,242,242,11,11,
1,22,110,1,121,242,11,11,121,121,121,242,242,242,11,11,11,11,11,1,22,110,1,11,
22,121,242,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,1,22,22,22,22,
22,22,22,110,1,11,22,1,11,11,11,11,11,11,22,11,11,22,1,1,1,11,11,1,11,11,11,
22,11,1,1,1,1,1,1,11,11,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1],[1,121,6655,6655,7986,6655,6655,7986,132,12,1320,6655,13310,7986,1452,
132,6655,6655,1452,1452,1452,1452,2662,12,120,1,132,1,55,55,132,66,55,55,132,
66,121,12,55,110,66,12,55,55,12,12,22,1],[1,121,1452,6655,7986,6655,7986,6655,
26620,19965,6655,6655,7986,15972,15972,132,12,1320,6655,13310,13310,19965,
7986,7986,7986,1452,1452,132,1452,132,132,1320,6655,6655,6655,6655,7986,1452,
1452,6655,6655,1452,1452,1452,1452,1452,1452,1452,1452,2662,12,120,1,1452,
1452,132,132,12,132,1320,1,55,132,66,55,132,66,55,220,165,55,55,132,132,132,
132,66,132,121,12,55,110,110,165,132,66,66,66,121,12,12,12,55,55,55,55,66,12,
55,55,12,12,12,12,22,12,1,1],[1,121,6655,6655,121,7986,15972,1452,6655,6655,
121,7986,15972,15972,132,12,1320,6655,13310,6655,6655,7986,1452,132,6655,6655,
7986,6655,6655,7986,1452,1452,1452,1452,132,1452,1452,132,1452,1452,1452,132,
14520,6655,13310,7986,1452,1452,1452,1452,1452,1452,1452,132,1452,1452,1452,
1452,6655,6655,2662,12,120,1,132,1,1452,1452,55,55,1452,1452,2662,132,132,132,
132,132,12,132,1320,1,66,132,55,55,132,132,132,132,132,132,132,1,66,132,121,
12,55,110,55,55,66,12,55,55,132,66,55,55,132,66,121,12,12,12,12,12,12,55,110,
66,12,12,12,12,12,12,55,55,22,12,12,22,1,1],[1,121,1452,6655,7986,6655,121,
7986,15972,1452,6655,26620,19965,6655,6655,121,15972,7986,15972,15972,15972,
15972,15972,15972,1452,15972,132,12,1320,6655,13310,13310,6655,19965,7986,
6655,7986,7986,7986,15972,15972,1452,1452,132,1452,132,132,1320,6655,6655,
6655,6655,7986,6655,26620,19965,6655,6655,7986,1452,1452,6655,6655,7986,15972,
15972,1452,1452,1452,1452,132,1452,1452,132,1452,1452,1452,132,14520,6655,
13310,13310,19965,7986,7986,7986,1452,1452,1452,1452,1452,1452,1452,1452,1452,
1452,1452,1452,1452,1452,1452,1452,1452,1452,1452,1452,132,1452,1452,1452,
1452,1452,132,1452,1452,1452,1452,1452,1452,1452,1452,132,14520,6655,6655,
6655,6655,2662,12,120,1,7986,1452,1452,1452,1452,1452,1452,1452,1452,1452,
1452,1452,1452,6655,6655,132,132,12,132,1320,1,1452,1452,55,132,66,55,1452,
1452,1452,1452,1452,1452,2662,132,132,132,132,132,12,132,1320,1,66,132,55,220,
165,55,55,1452,1452,132,132,132,132,132,132,132,132,132,132,132,132,132,132,
132,132,132,12,132,132,132,132,132,132,132,1320,1,66,132,132,121,12,55,110,
110,55,165,132,132,132,132,132,132,132,66,66,132,55,66,66,121,12,12,12,55,55,
55,55,132,66,55,220,165,66,55,55,12,55,55,132,132,132,132,66,132,121,12,12,12,
12,12,12,55,110,110,165,132,66,66,66,121,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,55,55,55,55,22,66,12,12,12,12,12,12,55,55,12,12,12,12,22,12,
1,1,1,1]],
[1,2,2,3,4,4,5,5,5,5,6,6,8,8,8,10,10,10,10,10,10,10,10,10,10,10,11,11,11,12,
12,12,15,16,20,20,20,20,20,20,20,22,22,22,22,22,22,22,24,24,24,24,25,30,30,40,
40,40,40,44,44,48,48,50,50,50,55,55,55,55,55,55,55,55,55,55,55,55,55,60,60,60,
80,100,100,100,110,110,110,110,110,110,110,110,110,110,110,110,110,110,110,
110,110,110,110,110,110,110,110,110,110,110,110,110,110,110,110,110,110,110,
110,110,110,120,120,120,120,120,121,121,121,200,220,220,220,220,220,220,220,
220,220,220,220,220,240,240,242,242,242,242,242,242,275,275,363,484,484,484,
550,550,550,550,550,550,600,605,605,605,605,605,605,605,605,605,605,605,726,
726,968,968,968,1100,1100,1210,1210,1210,1210,1210,1210,1210,1210,1210,1210,
1210,1210,1210,1210,1210,1210,1210,1210,1210,1210,1210,1210,1210,1210,1210,
1210,1210,1210,1210,1210,1320,1331,1452,1452,1452,1815,1936,2420,2420,2420,
2420,2420,2420,2420,2420,2420,2420,2420,2420,2420,2640,2662,2662,2662,2904,
2904,2904,2904,3025,3025,3630,3630,4840,4840,4840,4840,5324,5808,5808,6050,
6050,6050,6050,6050,6050,6600,6655,6655,6655,6655,6655,6655,7260,7260,7260,
9680,12100,12100,12100,12100,13200,13310,13310,13310,13310,13310,13310,13310,
13310,13310,13310,13310,13310,13310,13310,13310,13310,13310,13310,14520,14520,
14520,14520,14520,24200,26620,26620,26620,26620,26620,26620,29040,29040,33275,
66550,66550,66550,72600,133100,159720,319440,798600,1597200],
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85,84,84,183,84,270,312,209,146,125,126,146,83,132,146,132,132,132,84,84,182,
183,270,182,270,271,209,145,146,146,146,132,146,81,83,145,146,132,182,183,145,
146,132,84,85,182,183,182,182,270,182,182,270,183,183,183,271,123,146,125,126,
83,132,132,132,182,182,182,182,182,182,182,182,183,183,183,183,183,183,183,
183,182,182,182,182,270,182,182,182,182,182,270,183,183,183,183,183,183,183,
183,271,123,145,146,146,146,165,312,290,316,132,182,182,182,182,182,182,183,
183,183,183,183,183,145,146,270,270,312,271,209,316,182,183,305,270,298,305,
182,182,182,183,183,183,165,270,270,270,270,270,312,271,209,316,298,271,305,
267,269,306,305,182,183,270,270,270,270,270,270,270,270,270,270,270,270,270,
270,270,270,270,312,271,271,271,271,271,271,271,209,316,298,271,272,274,312,
305,293,294,305,269,270,270,270,270,270,270,271,298,298,271,305,298,298,274,
312,312,312,305,305,305,306,270,298,305,267,269,298,306,305,312,305,306,270,
270,270,271,298,272,274,312,312,312,312,312,312,305,293,294,269,270,298,298,
298,274,312,312,312,312,312,312,312,312,312,312,312,312,312,312,312,312,312,
312,305,305,305,306,311,298,312,312,312,312,312,312,305,306,312,312,312,312,
311,312,316,316,316,316],
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8,1,1,1,1,27,27,28,28,29,14,11,11,1,1,1,4,2,2,1,18,27,28,49,30,1,1,8,1,1,27,
27,27,27,27,28,28,28,28,28,29,1,4,4,6,1,8,8,1,27,27,27,27,27,27,27,1,28,28,28,
28,28,28,28,27,27,27,27,27,27,27,27,27,27,28,28,28,28,28,28,28,28,28,28,29,14,
11,11,1,128,1,1,1,18,27,27,27,27,27,27,28,28,28,28,28,28,49,30,27,28,129,28,
29,131,27,28,131,129,131,131,27,27,27,28,28,28,128,27,28,129,129,129,129,28,
130,131,131,131,131,155,152,152,131,27,28,27,129,129,129,129,129,129,129,28,
129,129,129,129,129,129,129,129,129,28,131,131,131,131,131,131,130,131,131,
131,175,214,28,131,155,155,131,158,129,129,129,129,129,129,131,131,131,131,
131,175,175,214,129,131,215,177,177,131,180,129,131,131,155,152,211,152,131,
215,216,241,129,129,129,131,131,175,214,129,131,215,215,215,215,131,155,155,
158,129,131,175,175,214,129,215,215,215,215,215,215,215,131,215,215,215,215,
215,215,215,215,215,177,177,131,180,297,211,215,215,215,215,215,215,216,241,
215,215,215,215,297,215,313,313,313,313],
[( 1,100, 93, 82, 23)( 2, 81, 71,131,105)( 3, 41,112,119, 98)
( 4,127, 43, 87, 89)( 5,110, 33, 44, 58)( 6, 38,113, 60, 28)
( 7, 77, 65, 12, 94)( 8, 51,126, 63, 17)( 9, 14,123,124,106)
( 10, 21, 90, 52, 64)( 11, 74, 61, 86,118)( 13,125,116, 54, 99)
( 15,103, 35, 53, 85)( 16,133, 40, 25, 57)( 18, 55, 96, 24, 59)
( 19, 66, 36, 22, 84)( 20,130,102, 67,129)( 26,114, 79, 29, 47)
( 27, 70,108,101, 45)( 30, 31, 49, 76, 91)( 32, 48,128,122,109)
( 34,115, 92,120, 80)( 37, 46,121, 39, 88)( 42, 56, 97,104,111)
( 50,132, 95, 72, 68)( 62,107, 73, 75,117),( 1, 45, 17, 59, 14, 56, 75, 37,
48, 7, 86, 29, 96,131, 91, 4, 18,128, 97, 89, 57, 5, 20, 26)
( 2, 51, 62, 67,103,112, 6,117, 93,127, 33, 12,120, 31, 25,129, 78, 99, 39,
52, 60, 34,126, 84)( 3, 22, 44,106, 10, 64,118, 15, 88, 43, 72, 46, 28,132,
122,113,107, 66, 83, 47, 87, 41, 58, 81)( 8,130, 53, 92, 23, 94,125,116, 73,
90,100,110, 68, 74, 35,105,123,104, 9,101, 65, 95, 24, 50)( 11, 85, 38,115,
40, 98,121, 49, 76, 13, 77, 30, 61, 79,124, 54,109,108, 82, 21,133,119, 42,
32)( 16, 63, 70, 36,111,102,114, 27, 55, 19, 80, 71)],
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2],[3,1,4,1,3,1,4,1]],[[1,2,2,-2,1,-1,2,-1,1,1,2,-1]]],[[[1,2],[3,2,2,1,1,-1,
2,-2]],[[1,1,2,-1,1,-2,2,1]],[[1,2,2,-2,1,-1,2,-1,1,1,2,-1]]],[[[1,2],[1,1,2,
1],[4,1,3,-1,4,1,2,1,3,-1]],[[1,1,2,-1,1,2,2,1,1,1,2,1]]],[[[1,2],[3,1,2,-2,1,
1,2,2,3,1]],[[1,2],[3,1,2,-1,3,-1,2,2]],[[2,1,1,1,2,1,1,-1,2,-2]]],[[[1,2],[3,
1,2,-1,3,1,2,2,3,1]],[[2,1,1,1,2,3]],[[2,1,1,1,2,-1,1,2,2,-2]]],[[[1,2],[3,1,
2,1,1,1,2,1,3,1]],[[2,2,1,-1,2,2]]],[[[1,2],[2,1,1,1,2,-1,3,1,2,1,3,1]],[[1,1,
2,2,1,-1,2,-2]]],[[[1,2],[3,1,2,-1,1,1,2,-1,3,1]],[[2,1,1,-1,2,1,1,1]]],[[[1,
2],[1,1,2,1,3,1,2,2,3,1]],[[1,1,2,2,1,-2,2,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,3,1,
1,2,2,1,1,1,3,1]],[[2,2,1,-1,2,3,1,1]]],[[[1,2],[1,1,2,2],[4,1,3,1,4,-1,3,
-1]],[[1,1,2,3,1,-1,2,-1]]],[[[1,1,2,1],[2,1,1,-1,2,-1,3,-2,2,1,1,-2]],[[1,
2],[2,2,1,1,2,1,3,1,2,1,3,1]],[[1,2],[3,1,2,-2,3,1,2,-1,1,1,2,1]]],[[[1,2],[3,
1,2,1,1,1,2,-1,3,1,2,1]],[[1,2,2,-2,1,-1,2,1,1,-1,2,1]]],[[[1,2],[3,1,2,1,1,1,
2,1,3,1]],[[2,1,1,-1,2,-1,1,1,2,-2]]],[[[1,2],[3,1,2,-1,1,-1,2,-1,3,1,2,1,3,
1]],[[1,2],[1,1,2,1],[4,1,3,1,4,-1,2,-1,3,-1]]],[[[1,2],[2,2],[3,1,4,-2,3,
-1]],[[1,1,2,2],[3,1,1,-2,3,1]]],[[[1,2],[2,1,3,1],[3,1,4,-1,3,1,4,1]],[[1,
2],[3,1,2,-1,3,1,2,1,1,1]]],[[[1,2,2,1,1,1,2,1,1,-1]],[[2,1,1,1,2,-1,1,1,2,
-2]]],[[[2,1,1,1,2,3,1,2]],[[2,3,1,1,2,-1]]],[[[1,1,2,-1,1,-2,2,-2,1,-1]],[[1,
1,2,1],[2,1,3,1,2,1,3,1]]],[[[1,2],[2,1,1,1,2,1,3,-1,2,1,3,1]],[[1,2,2,-2,1,
-1,2,1,1,1]]],[[[1,2],[2,2,1,1,3,1,2,-1,3,1]],[[2,1,1,1,2,1,1,-1]]],[[[1,2],[
1,1,2,1,3,-1,2,1,3,1]],[[1,1,2,-1],[3,2,1,-2]]],[[[2,1,1,-1,2,1,1,1,2,1,1,
2]],[[1,-1,2,-1,1,-2]]],[[[1,2],[2,1,1,1,2,-1,3,1,2,1,3,1]],[[2,1,1,-1,2,-1,1,
1,2,2]]],[[[1,2],[3,1,2,1,3,1,2,2,1,1]],[[2,1,1,-1,2,1,1,1]]],[[[1,2,2,-1,1,
-1,2,1,1,-1,2,1]],[[1,1,2,-4,1,-1]]],[[[2,1,1,1,2,-1,1,-2,2,-1]],[[1,-2,2,1,1,
-1,2,-2]]],[[[1,2],[3,1,2,2,3,-1,2,-2,1,-1]],[[2,1,1,-1,2,-1,1,2,2,-1,1,-1,2,
-1]]],[[[1,2],[2,1,1,1,2,1],[3,1,4,1,3,1,4,1]],[[1,1,2,-1],[2,1,3,-2]]],[[[2,
1,1,-1,2,-2,1,2]],[[1,-2,2,-1,1,1,2,1]]],[[[2,2],[1,2,3,2]],[[1,2],[2,-1,3,1,
2,-1,3,-1]]],[[[2,3,1,1,2,1]],[[1,2,2,3]]],[[[1,1,2,2,1,2,2,2]],[[2,1,1,-1,2,
1,1,-2]]],[[[1,2],[3,1,2,1,3,1,2,-1,1,-1]],[[1,2],[2,-1,1,1,2,1,3,1]]],[[[2,1,
1,1,2,1,1,1,2,-2]],[[2,2,1,1,2,-1,1,1,2,-1]]],[[[1,2],[1,1,2,1,3,1,2,-1,3,
1]],[[1,2],[2,-1,3,1,2,-1,3,-1]]],[[[1,2],[3,1,2,1,1,1,2,3,3,-1]],[[2,2,1,1,2,
-2]],[[1,2],[2,1,1,1,2,1],[4,1,3,2,4,-1]]],[[[2,2,1,-2,2,-1,1,-1,2,-1]],[[1,1,
2,1,1,1,2,1]]],[[[2,2,1,1,2,2]],[[1,1,2,-1,1,1,2,-1]]],[[[2,1,1,1,2,-2,1,-1,2,
-1,1,-2]],[[1,1,2,1],[1,2,3,-1,2,-1,3,1,2,1]]],[[[2,1,1,1,2,1],[3,2,1,2]],[[2,
2,1,2,2,1]]],[[[1,2],[1,1,2,1,3,-1,2,1,3,1]],[[1,2,2,3,1,-1,2,1]]],[[[1,2],[2,
1,1,1,2,-1,3,1,2,1,3,-1]],[[1,1,2,-1],[3,2,1,-2]]],[[[2,1,1,1,2,-2,1,-2]],[[1,
2],[2,-1,3,1,2,1,1,1]],[[1,1,2,-1,1,1,2,2]]],[[[1,2],[2,1,1,1,2,1],[3,1,4,2,3,
1]],[[1,1,2,3,1,1]]],[[[1,1,2,1],[2,1,3,1,1,-2,3,1,2,1]],[[2,1,1,-1],[3,2,2,
1]],[[1,1,2,-1,1,-1,2,1]]],[[[1,1,2,4,1,1]],[[2,4,1,-1]]],[[[2,2,1,1,2,2,1,
2]],[[1,1,2,2,1,-1,2,1]]],[[[1,2],[3,2,2,1,1,-1,2,-1,3,-1]],[[1,1,2,1]]],[[[1,
2],[3,1,1,1,2,1,1,1,2,1,3,-1]],[[1,1,2,-4,1,2]]],[[[2,3,1,1]],[[1,1,2,1,1,1,2,
1]]],[[[1,1,2,-1],[2,1,3,-2]],[[1,2,2,3]]],[[[1,2],[1,1,2,-2,3,1,2,1,3,1]],[[
2,1,1,2,2,1,1,-2]]],[[[1,2],[2,1,1,-1,2,-1,3,1,2,1,3,1]],[[1,-2,2,1,1,1]]],[[[
1,2],[2,-1,1,1,2,1,3,-1]],[[2,3,1,1]]],[[[1,-2,2,-1,1,1,2,2]],[[2,3,1,1,2,
1]]],[[[1,1,2,1],[3,1,2,2,3,1,1,2]],[[1,2],[2,2],[4,1,3,1,4,-1,3,-1]]],[[[2,1,
1,1,2,1,1,1,2,-1,1,2]],[[1,1,2,-1,1,-2,2,-2,1,-1]]],[[[1,1,2,3,1,-1,2,1]],[[1,
2],[2,-1,3,1,2,1,3,-1]]],[[[1,2],[3,1,2,1,3,-1,2,1,3,1]],[[1,1,2,3,1,-1,2,
-1]]],[[[2,1,1,-1,2,-1,1,1,2,2]],[[1,-2,2,2,1,-1]]],[[[1,2,2,1,1,-1,2,1,1,
1]],[[2,2,1,1,2,2]],[[1,1,2,-1,1,1,2,-1]]],[[[1,2],[2,-1,3,1,2,-1,3,-1]],[[2,
2,1,1,2,-1,1,-1]]],[[[1,2],[3,1,2,-1,3,-1,2,2,1,-1]],[[1,2],[2,-1,1,1,2,1]],[[
1,2],[3,1,2,1,1,-1,2,1,3,1]]],[[[1,2],[1,1,2,1],[4,1,3,2,2,-1,4,-1]],[[1,2,2,
1,1,1,2,-1]]],[[[2,3,1,1,2,1]],[[2,2,1,-1,2,-1]]],[[[2,1,1,-1,2,-3,1,-1]],[[2,
2,1,2,2,1]]],[[[2,2,1,-1,2,-2,1,-2]],[[1,1,2,-1],[3,2,1,-2]],[[2,1,1,1],[3,1,
2,-1,3,-1,2,-1]]],[[[1,-2,2,-2,1,1,2,-1]],[[2,1,1,1,2,1,1,2,2,1]]],[[[1,2],[3,
1,2,1,3,-1,2,1,1,1]],[[2,2],[3,1,1,-2,3,1]]],[[[2,2,1,-1,2,-1,1,1,2,-1]],[[2,
1,1,1,2,1,1,-1]]],[[[1,1,2,-1,1,-2,2,1,1,-1,2,-1]],[[2,2,1,1,2,1]]],[[[1,1,2,
1,1,2,2,1,1,-1]],[[2,1,1,1]]],[[[2,1,1,-1,2,1,1,1,2,2,1,2]],[[1,-2,2,1,1,-1,2,
-2]],[[1,1,2,-1,1,1,2,1]]],[[[1,2,2,-2,1,-1,2,1,1,-1]],[[2,2,1,1,2,1,1,-1,2,
1]],[[1,1,2,1,1,-1,2,-1]]],[[[2,2,1,-2,2,1]],[[1,-2,2,1,1,-1,2,1]],[[1,1,2,1,
1,-2]]],[[[1,2],[3,1,2,-2,3,-2]],[[2,1,1,1,2,-1,1,1,2,1]],[[1,2,2,1,1,1,2,
-1]]],[[[2,2,1,-1,2,-1,1,2]],[[1,2],[2,-1,1,1]],[[1,-1,2,1,1,-1,2,1]]],[[[2,4,
1,-1]],[[2,1,1,2]]],[[[2,2,1,1]],[[1,-2,2,1]]],[[[1,1,2,-1,1,1,2,1]],[[1,
1]]],[[[2,1,1,-1,2,1,1,-1]],[[2,3,1,1]]],[[[1,1,2,2,1,1]],[[2,1,1,-1,2,1,1,
-1]]],[[[1,1,2,-1,1,1,2,2]],[[1,-1]]],[[[2,1,1,-2,2,1]],[[1,1]]],[[[2,2,1,1,2,
1,1,-1,2,1]],[[1,1,2,-1,1,1,2,2]],[[1,-1]]],[[[2,1,1,-1,2,1,1,1]],[[2,
-2]]],[[[1,1,2,-1,1,-1]],[[2,-1]]],[[[2,2]],[[1,-1]]],[[[1,1]],[[2,1]]]]);
LIBTOM( "133:3",
[[1],[1,2],[1,3],[1,4],[1,2,3,5],[1,2,4,6],[1,3,4,7],[1,2,3,4,5,6,7,8]],
0,
[[1],[1,1],[1,1],[1,1],[1,7,1,1],[1,19,1,1],[1,1,1,1],[1,133,1,1,19,7,1,1]],
[1,3,7,19,21,57,133,399],
[8,2,8,8,5,6,8,8],
[1,1,1,1,3,4,1,7],
[( 1,104,109)( 2,131,122)( 3, 98, 43)( 4, 63, 70)( 5,102, 28)
( 6, 93, 82)( 7, 14, 20)( 8, 59, 9)( 10, 11, 56)( 12, 24, 86)( 13, 15,133)
( 16, 83, 51)( 17,121, 42)( 18, 49, 92)( 19, 97,100)( 21, 64,128)( 22, 78, 41)
( 23, 32, 40)( 25,107, 85)( 26, 46, 87)( 27, 57,124)( 29,127, 71)( 30, 88, 66)
( 31, 95, 89)( 33, 52,108)( 34, 38,126)( 35, 58, 74)( 36, 68, 79)( 37,105, 84)
( 39, 94,111)( 44,106,116)( 45,129, 96)( 47,112, 81)( 48, 60, 77)( 50,123, 54)
( 55, 99,130)( 61, 91,103)( 62, 76,113)( 65,115,114)( 67,118,125)( 69,120, 75)
( 72,110,101)( 73, 80,117)( 90,119,132),( 1, 3, 68, 63, 55, 47, 41, 19,109,
73, 8, 69, 97, 48, 66, 44, 21,119, 77, 43, 45, 20, 82, 39, 22,132, 10, 31,
56, 88, 36,124, 86, 85, 91,108,112, 64, 95, 89,116, 4, 18, 29,105, 87,123,
101, 99,106, 11,128,130, 42,114, 34, 28, 83, 58,121, 70, 30, 90, 81, 72, 74,
118, 62,133, 67,115, 92, 79, 60, 78, 33, 54, 51, 13, 53,113,126, 71, 57, 98,
100, 94,103, 26, 5, 76, 15,102, 37, 24, 96,104,120, 6, 25, 84, 38,125, 16,
46,107, 14,117, 23, 59, 7, 12,127, 65, 35, 50, 61, 93, 9,131, 2, 80,129,
27, 49, 17,110, 52,111, 75, 32,122, 40)],
[[[[]]],[[[1,-1]]],[[[1,1,2,-2,1,-1,2,3]]],[[[1,1,2,2,1,-1,2,-1]]],[[[2,2],[1,
-1,3,-2]],[[1,1,2,1],[3,1,2,1,3,1]]],[[[2,1,1,-1,2,1]],[[1,-1,2,-2]]],[[[2,1,
1,1,2,-1,1,-1]]],[[[1,1]],[[2,1]]]]);
AFLT( "5^2:GL2(5)","L3(5)",[1,2,2,3,4,4,6,5,5,7,7,8,9,10,11,12,14,13,14,16,15,
15,17,18,18,16,20,21,19,23,24,25,27,26,26,29,31,33,27,32,32,33,28,28,31,29,30,
34,36,35,37,39,40,41,43,44,45,46,44,45,46,48,49,50,51,53,52,53,54,57,58,58,61,
62,63,65,66,64,71,69,69,71,70,67,68,72,73,75,76,78,80,83,84,86,88,88,89,87,90,
92,93,91,97,98,95,101,103,104,102,106,109,111,113,108,110,107,112,114,117,119,
120,122,124,125,126,128,129,131,132,134,136,139] );
AFLT( "5^2:GL2(5)","L3(5)",[1,2,2,3,4,4,6,5,5,7,7,8,9,10,11,12,14,13,14,15,16,
16,17,18,18,15,20,21,19,23,24,25,26,27,27,28,31,33,26,32,32,33,29,29,31,28,30,
34,36,35,37,40,39,41,43,45,44,46,45,44,46,48,49,51,50,52,53,52,54,56,58,58,61,
63,62,64,67,65,70,68,68,70,71,66,69,72,73,75,77,79,81,82,85,87,89,89,88,86,90,
91,93,92,96,99,94,100,102,105,103,106,108,112,113,109,110,107,111,115,116,118,
121,123,125,124,126,127,130,131,133,135,137,138] );
AFLT( "4^2:S3","L3(5)",[1,2,2,3,6,4,5,5,6,10,13,14,11,14,13,12,22,24,23,25,38,
43,47,60] );
AFLT( "4^2:S3","u3(3)",[1,2,2,4,5,6,7,7,5,9,12,13,11,13,12,14,16,18,19,20,24,
27,29,32] );
AFLT( "31:3","L3(5)",[1,3,42,59] );
AFLT( "7^2:2.L2(7):2","L3(7)",[1,2,2,3,5,4,6,6,7,8,8,11,10,9,12,13,14,20,21,
19,22,23,23,26,25,24,27,27,22,28,29,30,33,33,35,36,34,37,41,42,42,43,48,48,50,
50,49,49,53,52,51,54,55,56,59,58,57,63,63,64,65,67,67,66,69,70,68,71,72,73,74,
75,79,81,82,84,87,86,88,83,88,91,90,89,92,96,98,100,101,103,106,108,107,109,
110,111,112,113,115,118,119,120,122,124,126,128,127,129,131,132,134,136] );
AFLT( "7^2:2.L2(7):2","L3(7)",[1,2,2,3,5,4,6,6,7,8,8,10,11,9,12,13,14,20,21,
19,23,22,22,26,24,25,27,27,23,28,29,30,33,33,34,36,35,37,41,42,42,43,48,48,49,
49,50,50,53,51,52,54,56,55,58,59,57,63,63,65,64,66,66,67,68,70,69,72,71,74,73,
75,80,82,81,83,88,85,87,84,87,90,91,89,92,96,97,99,102,104,105,107,108,109,
111,110,112,114,116,117,119,121,123,124,125,127,128,129,130,132,133,135] );
AFLT( "(3xA4):2","L3(7)",[1,2,2,3,3,3,3,4,5,4,6,7,7,7,7,14,15,18,16,20,19,17,
21,31,41,38,39,40,44,62] );
AFLT( "(3xA4):2","A7",[1,2,2,3,3,4,4,5,7,6,9,10,11,11,10,13,14,16,17,22,18,19,
20,23,27,30,26,29,31,35] );
AFLT( "3^2:Q8","L3(7)",[1,2,3,5,5,5,7,12,15,31,46,45,47,61] );
AFLT( "3^2:Q8","L3(4)",[1,2,3,6,5,4,15,25,26,50,64,63,65,79] );
AFLT( "3^2:Q8","U3(11)",[1,2,3,5,5,5,9,10,14,32,53,52,54,75] );
AFLT( "3^2:Q8","A6.2_3",[1,2,3,5,6,6,8,10,12,16,20,21,19,23] );
AFLT( "19:3","L3(7)",[1,3,32,60] );
AFLT( "19:3","U3(8)",[1,4,61,122] );
AFLT( "3^4:GL2(9)","L3(9)",[1,2,2,3,4,3,5,6,5,6,7,8,9,10,11,9,10,12,12,14,17,
15,16,14,15,16,17,18,19,19,20,21,23,24,27,26,28,29,25,21,22,22,30,31,32,32,34,
34,33,33,38,39,43,37,41,40,42,40,41,44,45,47,49,46,50,46,47,48,48,51,51,52,57,
55,56,54,53,53,60,58,59,62,63,63,65,65,64,64,68,67,69,71,70,68,72,73,76,74,75,
77,79,79,78,80,81,82,83,84,83,87,88,87,85,89,85,84,86,92,92,90,90,91,91,94,93,
97,96,98,101,100,99,103,103,105,104,105,106,107,108,109,106,110,111,114,112,
113,116,115,117,116,119,118,123,121,122,125,124,124,127,126,128,133,132,128,
132,129,130,134,129,130,126,127,125,131,139,139,138,138,136,135,136,135,140,
140,137,137,141,141,142,145,147,146,148,150,151,149,152,153,156,154,155,159,
160,158,162,163,162,164,166,165,168,167,166,169,170,170,171,172,173,175,175,
177,176,174,174,177,176,178,178,179,179,180,180,181,183,184,185,187,188,186,
186,189,190,191,195,192,193,194,198,200,199,200,203,204,203,202,201,201,205,
207,208,209,211,210,214,213,213,214,215,215,217,218,216,219,220,221,225,226,
224,224,223,223,222,227,228,231,234,233,233,236,237,239,238,244,243,241,242,
240,245,245,247,249,246,248,251,255,254,253,252,256,257,261,260,261,260,263,
262,264,266,265,265,258,259,259,269,269,270,268,271,272,274,275,277,280,279,
283,284,282,281,286,288,297,293,294,292,290,291,289,296,304,302,301,301,306,
300,300,299,307,310,308,309,316,311,314,317,320,319,324,323,321,322,326,331,
327,328,330,333,334,334,336,338,339,344,341,342,340,345,346,343,350,348,351,
358,354,356,359,360,365,361,362,364,368,372,370,371,380,381,382,383,374,373,
369,375,376,377,378,379,387,385,389,393,391,395,398,400,404,403,401,402,405,
406,407,409,411,413,415,414,416,417,419,421,423,425,427] );
AFLT( "3^4:GL2(9)","L3(9)",[1,2,2,3,4,3,5,6,5,6,7,8,10,9,11,10,9,12,12,14,17,
15,16,14,15,16,17,18,19,19,20,21,22,24,27,26,28,29,25,21,23,23,30,31,32,32,34,
34,33,33,38,39,43,37,41,40,42,40,41,44,45,46,49,47,48,47,46,50,50,51,51,53,57,
55,56,54,52,52,60,58,59,62,63,63,65,65,64,64,67,68,69,71,70,67,72,73,75,74,76,
77,79,79,78,80,81,82,84,83,84,85,86,85,87,89,87,83,88,92,92,90,90,91,91,93,94,
97,96,98,101,100,99,103,103,104,105,104,107,106,108,109,107,110,111,113,112,
114,115,116,117,115,118,119,123,121,122,124,125,125,130,129,132,131,128,132,
128,126,127,134,126,127,129,130,124,133,138,138,139,139,136,135,136,135,140,
140,137,137,141,141,143,144,147,146,148,149,151,150,152,153,155,154,156,159,
160,158,163,162,163,164,165,166,168,167,165,170,169,169,171,172,173,176,176,
174,175,177,177,174,175,178,178,179,179,180,180,182,183,185,184,186,188,187,
187,190,189,191,194,192,193,195,198,199,200,199,204,203,204,201,202,202,206,
207,208,210,211,209,213,214,214,213,215,215,216,219,217,218,221,220,224,226,
225,225,222,222,223,227,228,232,233,234,234,235,237,238,239,243,244,240,242,
241,245,245,246,248,247,249,250,253,252,255,254,257,256,263,262,263,262,261,
260,264,265,266,266,259,258,258,270,270,269,267,271,272,274,276,278,279,280,
284,283,281,282,285,287,298,294,293,289,291,290,292,295,303,301,302,302,305,
299,299,300,307,310,309,308,315,312,313,318,319,320,323,324,322,321,325,332,
328,327,329,334,333,333,335,337,339,344,342,341,340,346,345,343,349,347,352,
357,353,355,360,359,366,362,361,363,368,372,371,370,380,382,381,383,373,374,
369,375,377,376,379,378,388,386,390,394,392,396,397,399,403,404,401,402,406,
405,407,408,410,412,414,415,416,418,419,420,422,424,426] );
AFLT( "8^2:S3","L3(9)",[1,2,2,4,7,5,6,6,7,11,19,16,14,17,15,20,18,17,20,19,35,
37,44,41,40,43,38,42,45,42,41,39,66,79,78,80,82,81,77,102,121,123,122,161,173,
197,230] );
AFLT( "8^2:S3","U3(7)",[1,2,2,3,6,4,5,5,6,8,16,13,11,14,12,17,15,14,17,16,21,
24,27,28,29,26,25,30,32,30,28,31,39,42,43,44,45,46,41,53,59,61,60,67,70,75,
82] );
AFLT( "91:3","L3(9)",[1,4,13,36,61,95,157,212] );
AFLT( "31:5","L5(2)",[1,19,291,1010] );
AFLT( "3^3:L3(3)","L4(3)",[1,3,4,4,6,5,7,7,10,15,26,21,20,25,25,30,26,23,29,
25,24,22,22,31,44,49,50,50,52,51,53,51,52,53,56,54,57,57,58,61,55,60,62,60,54,
59,60,84,70,81,79,81,80,91,115,119,118,118,121,120,122,119,124,127,148,149,
126,127,134,145,143,133,142,139,121,139,137,144,143,145,120,144,142,140,140,
125,138,123,144,147,130,128,146,128,141,141,171,165,164,166,187,178,163,189,
188,198,197,192,193,200,199,196,202,195,201,190,192,207,191,204,208,194,203,
205,212,217,220,196,219,211,218,213,210,215,221,206,216,214,209,203,204,205,
206,213,212,240,239,243,239,254,254,253,241,255,252,258,255,259,257,259,260,
258,264,273,298,299,297,302,317,318,307,306,305,303,317,337,335,305,325,341,
322,342,345,325,340,304,321,343,341,335,324,338,339,323,336,340,344,346,326,
308,309,349,355,351,328,311,329,352,348,353,356,351,329,347,358,360,347,354,
350,357,359,350,310,314,314,346,334,332,312,312,345,333,344,315,316,313,334,
313,327,372,371,372,381,398,399,380,399,380,397,382,400,408,413,410,409,412,
415,417,416,414,418,419,413,421,424,425,426,427,415,411,420,429,428,422,423,
454,459,475,460,476,480,461,455,478,477,479,474,473,484,456,482,474,472,484,
483,485,481,483,485,501,502,503,503,508,523,521,512,511,516,514,513,520,522,
517,511,525,518,519,524,510,529,527,535,532,533,523,534,528,526,529,539,515,
538,531,530,537,530,536,549,550,555,557,562,558,559,556,561,560,567,568,572,
576,575,571,557,553,554,570,577,569,592,590,591,593,594,595,598,596,597,607,
619,609,626,624,627,622,623,625,622,628,635,641,640,634,643,637,642,636,639,
639,638,649,650,648,652,651,654,653,655,658,656,653,659,657,661,663,660,662,
668,687,686,683,688,685,675,681,703,710,709,713,711,715,712,714,717,728,736,
733,732,737,743,741,742,754,751,752,746,750,764,758,757,755,775,788,783,786,
779,782,790,791,793,802,803,816] );
AFLT( "3^3:L3(3)","L4(3)",[1,3,4,4,5,6,7,7,10,15,26,20,21,25,25,29,26,24,30,
25,23,22,22,31,44,49,51,51,53,50,52,50,53,52,56,54,57,57,58,62,60,55,61,55,54,
59,55,84,70,81,80,81,79,91,115,118,119,119,120,121,122,118,124,126,149,148,
127,126,133,144,142,134,143,140,120,140,138,145,142,144,121,145,143,139,139,
125,137,123,145,146,130,128,147,128,141,141,171,166,164,165,187,178,163,188,
189,197,198,192,193,200,199,195,201,196,202,191,192,204,190,207,205,194,203,
208,209,215,218,195,221,206,220,210,213,217,219,211,214,216,212,203,207,208,
211,210,209,239,240,243,240,255,255,252,242,254,253,259,254,258,257,258,260,
259,264,273,299,298,297,302,318,317,306,307,305,304,318,345,344,305,325,342,
321,341,337,325,343,303,322,340,342,344,323,339,338,324,346,343,335,336,326,
308,309,350,353,348,329,310,328,347,351,355,354,348,328,352,359,357,352,356,
349,360,358,349,311,314,314,336,334,333,315,315,337,332,335,312,313,316,334,
316,327,371,372,371,380,399,398,381,398,381,397,377,400,408,412,409,410,413,
414,416,417,415,419,418,412,420,425,424,427,426,414,411,421,428,429,423,422,
455,460,476,459,475,479,461,454,478,477,480,474,472,481,456,483,474,473,481,
482,485,484,482,485,501,503,502,502,508,520,522,511,512,517,513,514,523,521,
516,512,524,519,518,525,510,528,526,534,533,532,520,535,529,527,528,538,515,
539,530,531,536,531,537,550,549,559,560,561,556,555,558,562,557,568,567,571,
575,576,572,560,554,553,570,577,569,591,590,592,594,593,596,597,595,598,606,
618,609,627,625,626,623,622,624,623,629,638,640,641,639,642,636,643,637,634,
634,635,648,650,649,651,652,653,654,655,659,657,654,658,656,660,662,661,663,
669,688,685,684,687,686,676,680,703,710,708,712,711,714,713,715,716,729,737,
732,733,736,743,741,742,753,748,752,747,749,764,759,757,756,775,788,781,787,
778,780,790,792,793,802,804,815] );
AFLT( "3^4:2(A4xA4).2","L4(3)",[1,3,3,2,4,5,7,7,4,7,5,6,7,6,4,10,13,9,11,8,10,
15,12,14,16,25,29,27,26,22,18,20,19,22,20,30,30,22,25,25,28,29,21,25,21,24,23,
26,26,24,23,22,45,39,44,32,31,31,40,43,49,38,33,43,48,36,44,49,37,53,62,55,58,
59,57,53,54,60,52,57,56,51,61,59,54,60,54,59,54,50,51,50,55,52,85,87,67,78,69,
83,72,71,86,80,82,81,84,66,79,81,68,88,89,90,80,74,77,76,75,73,79,81,84,106,
115,105,116,95,115,116,112,111,114,95,114,103,129,125,133,136,127,144,124,123,
137,126,141,142,118,130,135,140,132,139,125,145,119,122,120,125,142,139,119,
121,141,141,144,122,140,145,134,127,138,147,143,145,146,121,149,144,148,130,
118,128,131,141,126,117,120,143,146,147,128,164,186,178,165,171,180,178,181,
184,173,159,161,175,155,179,160,174,165,171,177,187,166,176,170,164,156,183,
185,166,172,169,162,182,187,212,208,188,194,191,194,203,208,205,216,214,211,
210,200,192,213,193,197,192,221,204,204,201,190,219,208,204,195,207,196,189,
220,207,201,198,196,205,202,215,205,203,199,217,194,195,206,209,203,207,202,
218,222,230,235,231,236,235,236,265,245,257,252,260,241,242,271,258,264,260,
254,246,263,262,239,269,256,255,259,253,258,248,249,255,254,268,259,251,272,
261,240,266,238,267,250,244,270,237,264,247,296,300,290,296,297,299,297,302,
301,291,299,302,298,298,316,314,317,312,314,318,330,337,334,326,305,343,327,
327,342,314,325,336,344,345,312,303,324,316,328,340,320,329,310,336,338,355,
359,335,309,346,354,311,352,343,310,335,306,349,358,346,344,327,316,324,304,
357,342,313,334,348,315,313,307,350,321,353,325,345,308,323,339,315,340,319,
317,341,331,347,328,315,356,337,341,339,329,305,311,318,338,313,322,333,312,
332,351,323,360,368,381,394,397,390,376,378,383,392,403,387,377,371,397,384,
389,399,374,391,398,385,388,372,393,395,379,386,375,373,380,396,402,404,382,
401,425,409,413,409,421,420,429,415,411,426,419,410,417,427,410,413,418,412,
424,411,416,411,408,414,411,428,412,423,422,439,431,448,439,448,432,430,432,
481,467,458,474,453,457,456,454,452,451,480,455,472,456,483,469,484,466,483,
473,471,474,459,484,482,465,460,485,479,462,464,463,468,485,482,470,481,450,
496,497,500,502,503,501,501,504,495,505,498,499,494,520,539,523,529,508,513,
518,521,530,529,517,515,534,511,515,526,511,531,528,523,536,514,515,528,526,
512,527,533,514,512,537,509,513,535,538,521,525,510,515,516,519,524,527,520,
522,522,532,545,548,544,548,565,583,576,579,557,566,560,573,555,549,574,556,
554,581,564,563,553,559,580,552,558,551,550,578,575,582,598,590,594,591,596,
592,597,593,595,599,603,609,607,606,610,613,623,612,626,615,617,625,624,623,
621,622,620,614,608,616,622,625,611,627,624,645,640,636,634,639,637,644,641,
635,638,651,648,655,663,662,654,661,656,650,649,657,660,658,655,653,659,652,
666,690,688,673,689,668,692,687,697,695,679,676,694,696,677,682,678,691,672,
670,669,671,684,683,698,693,674,675,703,715,707,708,714,706,711,713,709,712,
734,719,731,730,721,725,720,724,736,723,737,727,729,722,735,726,728,742,741,
743,755,750,756,760,749,753,751,758,762,754,747,746,748,766,759,763,761,765,
771,767,770,769,773,768,772,775,779,778,780,776,781,777,783,786,785,782,787,
784,789,792,791,794,801,798,795,796,800,797,799,804,803,807,805,808,806,809,
812] );
AFLT( "(4xA6):2","L4(3)",[1,2,3,2,3,2,3,2,5,6,8,12,12,13,14,11,11,8,13,9,9,14,
16,14,13,11,9,10,15,15,13,14,9,16,16,16,16,12,17,27,28,19,18,20,21,19,24,18,
23,29,28,30,27,38,37,34,35,35,32,34,33,36,34,48,47,41,36,38,46,33,32,35,42,48,
45,37,46,42,47,41,42,40,34,38,40,37,41,39,48,39,47,39,48,46,39,35,36,40,42,41,
36,40,44,43,56,63,65,64,67,66,82,74,71,83,72,73,77,88,90,86,78,89,87,85,75,72,
80,77,78,79,76,71,94,97,94,92,96,93,109,108,110,106,100,107,111,112,101,96,97,
99,111,112,98,113,102,108,100,113,107,101,105,110,102,103,109,104,104,107,108,
113,111,112,109,110,113,117,129,123,138,135,137,136,151,150,152,154,153,168,
167,155,157,158,156,177,176,158,169,168,167,157,159,160,170,173,185,184,183,
181,186,175,180,172,174,182,179,224,223,224,227,233,227,233,225,232,234,232,
223,226,231,234,263,262,242,237,261,238,241,265,252,245,266,253,246,268,247,
244,249,267,248,276,274,275,277,279,285,292,283,280,278,295,288,282,294,293,
289,284,289,285,284,290,287,286,288,291,301,300,361,362,366,385,384,388,390,
389,383,386,402,375,382,404,377,378,379,374,401,403,373,376,407,436,442,440,
444,434,437,446,433,445,435,443,447,441,438,487,486,489,491,490,488,496,495,
498,497,494,499,500,547,546,586,588,584,589,585,587,603,630,646,647,699,700,
701,739,740,738,774] );
AFLT( "S4xS4","L4(3)",[1,2,2,3,3,3,2,2,3,6,5,7,12,11,14,8,8,13,15,11,12,9,9,
14,13,16,10,14,13,16,16,12,15,13,11,14,9,9,16,16,13,15,14,16,24,23,19,28,18,
27,30,29,20,21,22,35,38,34,37,33,32,46,33,34,47,48,41,41,47,36,35,37,36,42,48,
32,46,45,38,42,39,41,40,42,41,48,34,39,37,36,40,35,39,38,40,39,42,36,40,46,35,
48,34,47,43,36,44,59,66,67,85,86,69,68,87,77,72,83,82,71,78,88,74,89,73,90,76,
80,75,70,79,94,97,96,92,93,107,106,108,99,111,112,105,111,100,103,102,102,94,
113,107,104,112,113,100,110,101,96,109,110,97,98,108,109,101,104,109,107,112,
113,111,110,108,113,147,125,146,156,155,168,157,158,167,173,172,159,160,169,
170,182,184,177,174,176,180,183,186,185,179,175,181,161,162,163,224,223,231,
224,232,227,227,223,226,233,234,233,234,225,232,272,271,260,277,278,281,279,
282,292,294,289,285,280,283,284,288,293,295,290,287,286,291,301,300,366,394,
396,391,393,395,392,433,434,447,438,445,446,444,437,436,442,440,435,443,441,
449,493,505,504,547,546,600,601,602,667] );
AFLT( "2^6:(7xL2(8))","L3(8)",[1,2,2,3,4,4,5,6,7,6,8,9,9,11,11,10,12,12,15,15,
13,18,16,14,19,17,16,15,16,20,21,22,24,25,25,27,26,30,26,28,37,42,32,40,39,33,
31,36,43,29,41,35,38,34,29,44,45,47,49,49,50,51,53,60,61,55,57,62,54,59,63,58,
64,56,52,51,66,65,67,68,69,71,72,74,74,73,73,75,76,77,82,76,78,77,75,78,79,82,
79,81,80,81,83,84,85,86,87,88,108,113,111,102,90,107,89,91,93,116,109,115,99,
101,97,103,95,100,94,105,98,96,104,106,92,114,110,112,118,120,122,122,121,123,
125,124,132,129,138,130,131,136,133,134,127,137,126,128,135,142,144,144,145,
147,146,148,150,152,152,154,153,159,160,155,155,157,162,162,156,158,158,161,
164,163,165,166,168,169,171,173,175,174,176,179,180,181,182,185,184,186,187,
191,193,194,188,190,192,189,196,198,200,201,203,205] );
AFLT( "2^6:(7xL2(8))","L3(8)",[1,2,2,3,4,4,6,5,7,5,8,9,9,11,11,10,12,12,13,13,
15,18,14,16,19,17,14,13,14,20,21,23,24,25,25,26,27,30,27,29,37,38,32,43,41,33,
31,36,40,28,39,35,42,34,28,44,45,48,49,49,51,50,53,61,60,55,56,58,54,63,59,62,
64,57,52,50,65,66,68,67,69,70,72,73,73,74,74,76,75,78,82,75,77,78,76,77,79,82,
79,80,81,80,83,85,84,87,86,88,107,113,111,98,89,108,90,96,95,115,109,116,100,
97,101,106,93,99,92,104,102,91,105,103,94,114,110,112,119,120,121,121,122,123,
124,125,128,133,138,131,130,136,129,134,126,137,127,132,135,141,145,145,144,
146,147,148,151,152,152,153,154,157,158,156,156,159,161,161,155,160,160,162,
163,164,165,166,167,169,170,172,174,175,177,178,181,180,183,184,185,186,187,
190,194,193,189,191,192,188,195,197,199,201,202,204] );
AFLT( "7^2:S3","L3(8)",[1,2,3,8,10,11,9,24,25,46,72,120,139,149] );
AFLT( "11^2:(5x2L2(11).2)","l3(11)",[1,2,2,3,4,5,6,7,7,6,8,9,13,11,12,14,17,
15,16,17,16,18,15,16,14,17,19,19,20,21,23,22,25,26,29,28,30,32,31,30,29,37,37,
35,34,35,34,36,40,39,38,41,43,44,45,49,46,47,48,50,50,51,52,53,53,54,61,61,57,
58,56,59,55,56,58,57,59,55,60,63,65,64,68,69,70,71,90,89,88,86,84,87,85,83,90,
89,88,87,84,86,85,83,77,74,79,75,72,81,78,76,80,73,72,81,79,77,78,80,75,74,76,
73,82,94,92,93,95,91,96,98,97,102,108,106,104,103,105,107,108,103,104,106,105,
107,110,109,113,113,111,114,115,112,116,116,118,123,124,121,127,126,125,127,
126,125,128,137,137,135,135,134,131,138,136,130,132,133,140,142,148,147,145,
150,150,169,158,171,158,160,161,159,167,169,171,161,160,159,167,156,156,155,
152,168,170,157,166,164,162,163,165,151,153,154,173,174,176,178,179,181,183,
186,200,200,192,192,191,190,199,189,193,194,188,197,196,201,202,203,204,206,
212,207,209,213,214,215,218,226,224,221,220,227,230,228,235,235,232,234,233,
237,238,240,239,243,244,241,242,246,250,247,251,257,258,254,256,259,260,262,
277,263,268,264,266,269,261,276,271,265,267,270,273,274,275,272,285,287,280,
282,279,288,293,294,291,292,295,290,297,299,300,302,301,303,304,306,308,310,
312,313] );
AFLT( "11^2:(5x2L2(11).2)","l3(11)",[1,2,2,3,4,5,6,7,7,6,8,9,13,11,12,14,17,
15,16,17,16,18,15,16,14,17,19,19,20,21,23,22,25,26,29,28,30,32,31,30,29,37,37,
34,35,34,35,36,40,39,38,41,43,44,45,49,46,47,48,50,50,51,52,53,53,54,61,61,57,
59,55,58,56,55,59,57,58,56,60,63,65,64,68,69,70,71,90,88,89,86,85,83,84,87,90,
88,89,83,85,86,84,87,74,77,76,78,73,80,75,79,81,72,73,80,76,74,75,81,78,77,79,
72,82,94,92,93,95,91,97,98,96,102,108,106,105,107,104,103,108,107,105,106,104,
103,110,109,114,114,112,113,115,111,116,116,119,124,123,122,127,125,126,127,
125,126,128,138,138,133,133,132,130,137,136,131,134,135,141,143,149,146,144,
150,150,168,157,170,157,162,163,164,166,168,170,163,162,164,166,154,154,153,
151,169,171,158,167,159,160,161,165,152,155,156,172,174,176,177,180,182,184,
185,199,199,194,194,193,189,200,190,191,192,187,198,195,201,203,202,204,205,
211,208,210,214,213,216,217,225,223,222,219,227,231,229,234,234,233,235,232,
236,238,239,240,242,244,241,243,245,249,248,252,258,257,253,255,259,261,263,
276,262,270,265,267,271,260,277,269,264,266,268,272,274,275,273,284,286,281,
283,278,289,294,293,290,292,295,291,296,298,300,301,302,303,305,306,307,309,
311,314] );
AFLT( "133:3","l3(11)",[1,3,10,27,33,62,99,120] );
#############################################################################
#############################################################################
##
#E