GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
#############################################################################
##
#W tmealt.tom GAP table of marks library Thomas Merkwitz
##
#H @(#)$Id: tmealt.tom,v 4.2 2001/07/05 06:58:54 gap Exp $
##
#Y Copyright (C) 1997, Lehrstuhl D fuer Mathematik, RWTH Aachen, Germany
##
## This file contains the tables of marks of the groups $2^4:Ax$.
##
#H tomlib history
#H --------------
#H $Log: tmealt.tom,v $
#H Revision 4.2 2001/07/05 06:58:54 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/tmealt.tom,v
#H Working file: tmealt.tom
#H head: 4.1
#H branch:
#H locks: strict
#H access list:
#H symbolic names:
#H GAP4R2: 4.1.0.10
#H GAP4R2PRE2: 4.1.0.8
#H GAP4R2PRE1: 4.1.0.2
#H GAP4R1: 4.1.0.6
#H GAP4B5: 4.1.0.4
#H dec16-98b: 4.1
#H GAP4b4: 4.1
#H version-14-apr: 4.1
#H version-15-jun: 4.1
#H keyword substitution: kv
#H total revisions: 2; selected revisions: 2
#H description:
#H ----------------------------
#H revision 4.1
#H date: 1997/11/20 11:42:19; author: gap; state: Exp; lines: +2 -2
#H changed revision number to 4.1
#H ----------------------------
#H revision 1.1
#H date: 1997/11/17 12:50:45; author: gap; state: Exp;
#H added new table of marks library file
#H ==========================================================================
#H
Revision.tmealt_tom :=
"@(#)$Id: tmealt.tom,v 4.2 2001/07/05 06:58:54 gap Exp $";
SetActualLibFileName("tmealt");
LIBTOM( "2^4:A6",
[[1],[1,2],[1,3],[1,4],[1,5],[1,2,6],[1,2,7],[1,3,8],[1,3,9],[1,2,3,10],[1,2,
11],[1,3,12],[1,3,13],[1,2,3,14],[1,2,15],[1,3,16],[1,17],[1,2,4,18],[1,3,4,
19],[1,3,5,20],[1,2,6,7,21],[1,2,3,10,13,22],[1,2,11,23],[1,2,6,11,24],[1,2,3,
6,10,14,25],[1,2,6,15,26],[1,2,3,10,11,27],[1,2,3,10,11,28],[1,2,11,15,29],[1,
2,3,8,9,10,12,14,30],[1,2,3,6,10,11,31],[1,2,11,32],[1,2,3,10,16,33],[1,2,3,7,
14,15,34],[1,3,9,13,16,35],[1,3,8,13,16,36],[1,4,5,37],[1,3,17,38],[1,2,4,7,
39],[1,2,4,7,18,40],[1,2,5,7,41],[1,2,5,7,42],[1,3,4,13,43],[1,2,4,15,18,44],[
1,2,5,6,45],[1,3,5,8,46],[1,3,5,9,47],[1,2,3,4,14,18,19,48],[1,3,5,12,49],[1,
2,6,7,21,50],[1,2,3,6,8,9,10,12,14,25,30,51],[1,2,6,11,24,52],[1,2,6,15,26,
53],[1,2,6,11,15,24,26,29,54],[1,2,6,7,15,21,26,55],[1,2,3,6,10,14,15,25,26,
56],[1,2,3,6,7,10,11,14,21,24,25,31,57],[1,2,6,11,24,32,58],[1,2,3,6,10,11,14,
15,24,25,26,59],[1,2,3,6,7,10,14,15,21,25,26,34,60],[1,2,3,6,10,14,16,25,33,
61],[1,2,3,6,10,11,13,14,22,25,27,28,31,62],[1,2,6,7,11,15,21,24,26,63],[1,2,
3,6,10,11,23,24,27,28,31,64],[1,2,3,10,11,15,28,29,32,65],[1,2,11,15,23,29,32,
66],[1,2,3,8,9,10,11,12,14,16,27,30,33,67],[1,2,3,8,9,10,12,13,14,16,22,30,33,
35,36,68],[1,3,4,5,19,20,37,69],[1,2,4,6,7,18,21,39,70],[1,2,4,11,18,23,71],[
1,3,4,8,13,16,19,36,43,72],[1,3,4,9,13,16,19,35,43,73],[1,2,3,4,10,13,18,22,
43,74],[1,2,3,4,7,14,15,19,34,39,75],[1,3,5,9,13,16,20,35,47,76],[1,2,3,5,7,
14,15,20,34,41,77],[1,3,5,8,13,16,20,36,46,78],[1,2,3,5,7,14,15,20,34,42,79],[
1,2,3,5,6,10,11,20,31,45,80],[1,2,3,4,7,14,15,18,19,34,40,44,48,81],[1,2,3,6,
7,10,11,13,14,21,22,23,24,25,27,28,31,57,62,64,82],[1,2,3,6,7,10,11,14,21,24,
25,31,32,57,58,83],[1,2,3,6,7,10,11,14,15,21,24,25,26,31,34,50,55,57,60,63,
84],[1,2,3,6,7,10,11,14,15,21,24,25,26,31,55,57,85],[1,2,3,6,7,10,11,14,15,21,
24,25,26,29,31,52,54,57,59,63,86],[1,2,3,6,7,10,11,14,16,21,24,25,31,33,57,61,
87],[1,2,3,6,7,8,9,10,11,12,14,15,21,24,25,26,30,31,34,51,56,57,59,60,88],[1,
2,3,6,7,10,11,14,15,21,24,25,26,29,34,53,54,55,56,59,60,63,89],[1,2,3,6,10,11,
13,14,15,16,22,25,26,27,28,31,33,56,61,62,90],[1,2,3,6,10,11,15,23,24,26,27,
28,29,31,32,54,58,64,65,66,91],[1,2,3,6,8,9,10,11,12,13,14,16,22,25,27,28,30,
31,33,35,36,51,61,62,67,68,92],[1,2,3,6,10,11,23,24,27,28,31,32,52,58,64,93],[
1,2,4,5,7,18,37,39,40,41,42,94],[1,3,4,5,16,19,20,37,69,95],[1,2,5,6,7,21,41,
42,45,50,96],[1,2,4,6,7,18,21,39,40,50,70,97],[1,2,4,6,7,11,15,18,21,24,26,39,
44,63,70,98],[1,2,3,4,6,7,10,14,15,18,19,21,25,26,34,39,48,60,70,75,99],[1,2,
5,6,11,24,45,52,100],[1,2,3,5,6,8,9,10,12,14,25,30,45,46,47,49,51,101],[1,2,3,
4,8,9,10,12,13,14,16,18,19,22,30,33,35,36,43,48,68,72,73,74,102],[1,2,4,11,15,
18,23,29,32,44,66,71,103],[1,2,5,6,15,26,45,53,104],[1,3,5,8,17,20,38,46,
105],[1,3,4,13,17,19,38,43,106],[1,3,5,9,17,20,38,47,107],[1,3,5,12,17,20,38,
49,108],[1,3,5,12,17,20,38,49,109],[1,2,3,6,7,10,11,13,14,15,21,22,23,24,25,
26,27,28,31,34,50,55,57,60,62,63,64,82,84,85,110],[1,2,3,6,7,8,9,10,11,12,14,
15,21,24,25,26,29,30,31,34,50,51,52,53,54,55,56,57,59,60,63,84,86,88,89,111],[
1,2,3,6,7,8,9,10,11,12,13,14,15,16,21,22,23,24,25,26,27,28,30,31,33,34,35,36,
51,56,57,59,60,61,62,64,67,68,82,87,88,90,92,112],[1,2,3,6,7,10,11,14,15,16,
21,24,25,26,29,31,33,52,54,55,57,59,61,63,85,86,87,113],[1,2,3,6,7,10,11,13,
14,15,21,22,23,24,25,26,27,28,29,31,32,52,54,57,58,59,62,63,64,65,66,82,83,86,
91,93,114],[1,2,3,6,7,8,9,10,11,12,14,15,21,24,25,26,30,31,32,34,51,55,56,57,
58,59,60,83,85,88,115],[1,2,3,6,7,10,11,14,15,16,21,24,25,26,31,32,33,34,50,
55,57,58,60,61,63,83,84,87,116],[1,2,3,4,5,7,14,15,18,19,20,34,37,39,40,41,42,
44,48,69,75,77,79,81,94,117],[1,2,6,7,17,21,50,118],[1,2,3,4,6,7,10,11,13,14,
18,21,22,23,24,25,27,28,31,39,43,57,62,64,70,71,74,82,119],[1,2,3,5,6,8,9,10,
11,12,13,14,16,20,22,25,27,28,30,31,33,35,36,45,46,47,49,51,61,62,67,68,76,78,
80,92,101,120],[1,2,3,4,6,7,10,11,14,15,18,19,21,24,25,26,31,34,39,40,44,48,
50,55,57,60,63,70,75,81,84,97,98,99,121],[1,2,3,5,6,7,10,11,14,15,20,21,24,25,
26,31,34,41,42,45,50,55,57,60,63,77,79,80,84,96,122],[1,2,3,5,6,10,11,20,23,
24,27,28,31,32,45,52,58,64,80,93,100,123],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,
21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,50,51,52,53,54,55,56,57,58,59,
60,61,62,63,64,65,66,67,68,82,83,84,85,86,87,88,89,90,91,92,93,110,111,112,
113,114,115,116,124],[1,2,4,5,6,7,18,21,37,39,40,41,42,45,50,70,94,96,97,
125],[1,2,3,6,7,10,11,14,15,17,21,24,25,26,31,34,38,50,55,57,60,63,84,118,
126],[1,2,3,4,6,7,10,11,13,14,15,18,21,22,23,24,25,26,27,28,31,34,39,40,43,50,
55,57,60,62,63,64,70,71,74,82,84,85,97,110,119,127],[1,2,3,4,6,7,10,11,13,14,
15,18,21,22,23,24,25,26,27,28,29,31,32,39,43,44,52,54,57,58,59,62,63,64,65,66,
70,71,74,82,83,86,91,93,98,103,114,119,128],[1,2,3,4,6,7,8,9,10,11,12,13,14,
15,16,18,19,21,22,23,24,25,26,27,28,30,31,33,34,35,36,39,43,48,51,56,57,59,60,
61,62,64,67,68,70,71,72,73,74,75,82,87,88,90,92,99,102,112,119,129],[1,2,3,5,
6,7,8,9,10,11,12,14,15,21,24,25,26,29,30,31,34,41,42,45,46,47,49,50,51,52,53,
54,55,56,57,59,60,63,84,86,88,89,96,100,101,104,111,130],[1,2,3,4,5,6,7,10,11,
14,15,18,19,20,21,24,25,26,31,34,37,39,40,41,42,44,45,48,50,55,57,60,63,69,70,
75,77,79,80,81,84,94,96,97,98,99,117,121,122,125,131],[1,3,4,5,9,13,16,17,19,
20,35,37,38,43,47,69,73,76,95,106,107,132],[1,3,4,5,8,13,16,17,19,20,36,37,38,
43,46,69,72,78,95,105,106,133],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,18,19,21,
22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,39,40,43,44,48,50,51,52,53,54,55,
56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,81,82,83,84,85,86,87,
88,89,90,91,92,93,97,98,99,102,103,110,111,112,113,114,115,116,119,121,124,
127,128,129,134],[1,2,3,5,6,7,8,9,10,11,12,13,14,15,16,20,21,22,23,24,25,26,
27,28,29,30,31,32,33,34,35,36,41,42,45,46,47,49,50,51,52,53,54,55,56,57,58,59,
60,61,62,63,64,65,66,67,68,76,77,78,79,80,82,83,84,85,86,87,88,89,90,91,92,93,
96,100,101,104,110,111,112,113,114,115,116,120,122,123,124,130,135],[1,2,3,4,
5,6,7,10,11,14,15,16,18,19,20,21,24,25,26,31,32,33,34,37,39,40,41,42,44,45,48,
50,55,57,58,60,61,63,69,70,75,77,79,80,81,83,84,87,94,95,96,97,98,99,116,117,
121,122,125,131,136],[1,2,3,4,6,7,10,11,13,14,15,17,18,19,21,22,23,24,25,26,
27,28,31,34,38,39,40,43,44,48,50,55,57,60,62,63,64,70,71,74,75,81,82,84,85,97,
98,99,106,110,118,119,121,126,127,137],[1,2,3,5,6,7,8,9,10,11,12,14,15,17,20,
21,24,25,26,29,30,31,34,38,41,42,45,46,47,49,50,51,52,53,54,55,56,57,59,60,63,
77,79,80,84,86,88,89,96,100,101,104,105,107,108,109,111,118,122,126,130,138],[
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]],
0,[[1],[1,1],[1,1],[1,1],[1,1],[1,3,1],[1,3,1],[1,3,1],[1,3,1],[1,1,2,1],[1,1,
1],[1,3,1],[1,3,1],[1,1,2,1],[1,1,1],[1,1,1],[1,1],[1,1,1,1],[1,3,1,1],[1,3,1,
1],[1,7,3,4,1],[1,1,6,3,4,1],[1,1,3,1],[1,3,1,2,1],[1,3,4,1,2,4,1],[1,3,1,2,
1],[1,1,2,1,2,1],[1,1,4,2,1,1],[1,1,1,2,1],[1,1,6,1,1,1,2,2,1],[1,3,2,1,1,1,
1],[1,1,1,1],[1,1,2,1,2,1],[1,3,2,1,1,1,1],[1,5,1,1,1,1],[1,5,1,1,1,1],[1,2,2,
1],[1,5,1,1],[1,3,4,1,1],[1,3,1,1,3,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,
1,1,3,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,1,6,1,3,1,2,1],[1,3,4,1,1],[
1,15,15,20,15,1],[1,3,12,1,4,4,6,8,12,3,12,1],[1,3,1,6,3,1],[1,3,1,6,3,1],[1,
3,1,2,4,1,2,4,1],[1,7,3,4,4,1,2,1],[1,3,4,1,2,4,4,1,2,1],[1,7,4,3,4,2,2,4,1,1,
1,4,1],[1,3,1,2,1,2,1],[1,3,4,1,2,2,4,2,1,1,1,1],[1,7,4,3,4,2,4,2,1,1,1,4,1],[
1,3,4,1,2,4,4,1,2,1],[1,3,8,1,4,2,4,4,1,1,1,2,2,1],[1,7,3,4,2,2,1,1,1,1],[1,3,
4,1,2,4,1,1,2,1,2,1],[1,1,4,2,1,2,1,1,1,1],[1,1,3,2,1,1,1,1],[1,1,6,1,1,1,2,2,
2,2,1,1,1,1],[1,1,10,1,1,3,2,4,2,2,1,1,1,2,2,1],[1,9,2,2,6,6,1,1],[1,7,4,3,4,
4,1,1,1],[1,1,4,3,4,1,1],[1,9,4,3,1,3,4,3,1,1],[1,9,4,3,1,3,4,3,1,1],[1,1,6,4,
3,4,4,1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,9,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,
1,1],[1,9,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,
3,6,1,1,3,3,3,2,3,1,1,1,1],[1,7,12,3,4,6,6,8,12,1,2,2,3,3,6,6,12,3,6,6,1],[1,
7,4,3,4,2,2,4,1,1,1,4,4,1,2,1],[1,15,4,15,20,2,2,4,4,15,1,1,2,4,8,1,1,1,2,2,
1],[1,7,4,3,4,2,2,4,8,1,1,1,4,4,2,1,1],[1,7,4,3,4,2,6,4,4,1,3,1,2,4,4,1,1,1,2,
2,1],[1,7,4,3,4,2,2,4,8,1,1,1,4,4,1,2,1],[1,7,12,3,4,4,4,6,2,8,12,4,1,1,3,2,
12,4,8,1,1,1,2,2,1],[1,7,4,3,4,2,2,4,8,1,1,1,4,4,4,1,1,1,1,1,1,1,1],[1,3,8,1,
4,2,4,4,4,4,1,1,2,1,2,2,2,1,1,1,1],[1,3,4,1,2,4,4,1,1,2,2,1,4,2,2,1,1,1,2,2,
1],[1,3,16,1,4,4,8,2,8,4,12,4,1,3,1,2,12,2,2,4,4,1,1,1,2,2,1],[1,3,4,1,2,8,1,
3,2,1,2,2,1,1,1,1],[1,3,5,8,1,3,4,1,1,1,1,1],[1,9,2,2,9,6,6,1,1,1],[1,15,16,
15,20,15,4,4,12,1,1],[1,15,4,15,20,12,15,1,4,1,3,1],[1,7,4,3,4,6,6,4,1,3,3,1,
4,3,1,1],[1,7,12,4,3,4,6,12,6,4,8,1,3,3,12,1,4,3,1,2,1],[1,3,16,1,6,3,4,1,1],[
1,3,12,16,1,4,4,6,8,12,3,12,4,4,4,8,1,1],[1,1,18,4,3,3,3,6,4,6,6,4,8,1,3,3,6,
6,1,4,3,1,1,1,1],[1,1,4,3,6,4,1,3,3,4,3,1,1],[1,3,16,1,6,3,4,1,1],[1,15,10,5,
6,10,6,5,1],[1,15,10,5,6,10,6,5,1],[1,15,10,5,6,10,6,5,1],[1,15,10,5,6,10,6,5,
1],[1,15,10,5,6,10,6,5,1],[1,15,12,15,20,6,6,8,12,12,15,2,2,3,3,6,6,6,12,24,1,
3,3,6,6,6,6,1,3,3,1],[1,15,12,15,20,4,4,6,6,8,12,12,15,3,3,6,12,12,12,24,1,1,
1,2,3,3,3,3,6,6,6,3,3,3,6,1],[1,7,20,3,4,4,4,10,6,8,8,20,4,8,1,2,2,3,5,2,6,6,
12,12,4,8,8,8,1,1,3,2,2,2,6,6,4,4,1,1,1,2,2,1],[1,7,4,3,4,2,6,4,12,8,1,3,1,6,
4,4,4,1,1,2,1,2,2,2,1,1,1,1],[1,7,12,3,4,6,10,8,12,4,1,2,2,5,3,2,6,6,4,12,4,1,
1,3,2,2,6,2,6,4,4,1,1,1,2,2,1],[1,7,12,3,4,4,4,6,2,8,12,12,1,1,3,6,12,4,4,8,1,
2,1,1,2,2,2,1,1,1,1],[1,15,4,15,20,2,2,4,4,8,15,1,1,2,4,4,4,8,1,1,1,2,2,2,2,1,
1,1,1],[1,3,18,5,8,1,9,9,3,18,24,9,4,1,1,1,1,3,3,4,3,3,3,3,1,1],[1,15,15,20,
16,15,1,1],[1,7,12,16,3,4,6,6,8,12,16,1,2,2,3,3,6,6,12,4,8,3,6,6,4,8,8,1,1],[
1,3,24,16,1,4,4,12,6,8,12,12,12,16,3,3,3,6,12,6,6,12,12,4,4,4,8,1,3,3,6,6,4,4,
4,3,1,1],[1,15,12,4,15,20,6,6,12,12,12,8,15,3,3,6,12,24,1,4,4,4,1,3,3,6,6,3,2,
4,3,1,1,1,1],[1,15,12,16,15,20,6,6,12,12,16,15,3,3,6,12,24,4,4,12,1,3,3,6,6,4,
4,4,3,1,1],[1,3,12,16,1,6,12,16,3,3,6,3,6,6,4,1,3,3,4,3,1,1],[1,15,20,15,20,4,
4,10,10,8,8,20,20,8,15,2,2,5,5,10,6,6,12,12,20,4,4,40,8,8,1,1,1,2,3,5,3,5,2,6,
10,2,6,10,6,4,4,4,4,1,1,5,3,3,1,3,6,2,2,2,2,1,1,1,1,1,1,1,1],[1,15,8,32,15,20,
24,15,16,2,8,8,8,24,1,6,8,2,2,1],[1,15,20,15,20,10,10,20,20,16,15,5,5,10,20,
40,16,1,5,5,10,10,5,1,1],[1,15,12,16,15,20,6,6,8,12,12,48,15,2,2,3,3,6,6,6,12,
24,4,16,8,1,3,3,6,6,6,6,12,8,8,1,3,3,4,1,1,1],[1,7,12,16,3,4,6,18,8,12,12,16,
1,2,2,9,3,6,6,6,12,12,12,4,8,16,3,3,3,6,6,6,6,6,12,12,4,8,8,1,3,3,6,6,4,8,3,1,
1],[1,7,36,16,3,4,12,12,18,6,24,8,36,12,24,16,32,1,2,2,3,9,6,6,6,36,12,12,24,
24,24,4,8,16,3,3,3,6,6,6,6,6,12,12,4,8,8,8,8,8,1,3,3,6,6,4,8,3,1,1],[1,15,12,
64,15,20,4,4,6,6,8,12,12,15,3,3,6,12,12,12,24,16,16,48,16,16,32,1,1,1,2,3,3,3,
3,6,6,6,3,3,3,6,4,4,4,8,1,1],[1,15,36,8,32,15,20,18,18,36,36,24,48,96,15,9,9,
18,36,72,16,2,8,8,8,24,24,24,1,9,9,18,18,16,6,12,24,24,24,24,9,8,2,2,6,6,8,6,
6,1,1],[1,45,20,20,15,15,45,36,60,60,45,10,36,15,15,10,15,15,10,6,6,1],[1,45,
20,20,15,15,45,36,60,60,45,10,36,15,15,10,15,15,10,6,6,1],[1,15,36,16,15,20,
12,12,18,18,24,8,36,36,24,48,32,15,2,2,9,9,18,6,6,36,36,36,12,12,72,24,24,4,
16,8,16,16,1,3,3,6,9,9,9,9,6,18,18,6,6,18,6,12,12,12,12,12,8,8,8,8,8,16,1,3,9,
3,9,3,9,18,6,6,6,6,4,4,4,8,8,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,15,36,64,15,20,4,
4,18,18,8,24,36,36,24,64,15,6,6,9,9,18,18,18,12,12,36,12,12,72,24,24,16,16,48,
16,16,32,1,1,1,2,3,9,3,9,6,6,18,6,18,18,18,12,12,12,12,16,16,16,16,16,3,3,9,9,
3,3,3,6,6,6,6,6,4,4,4,8,3,1,3,3,3,3,3,4,4,4,3,1,1],[1,15,36,8,32,15,20,18,18,
36,36,72,24,48,96,15,9,9,18,36,36,36,72,16,2,8,8,8,24,24,24,1,9,9,18,18,18,18,
16,6,12,24,24,24,24,9,9,9,8,16,2,2,6,6,9,8,6,6,1,1,1],[1,15,60,40,15,20,30,30,
40,60,60,96,120,80,15,10,10,15,15,30,30,30,60,120,96,10,40,40,40,40,1,15,15,
30,30,30,30,30,40,40,20,40,5,15,15,10,10,10,16,5,6,5,10,6,5,1],[1,15,60,160,
15,20,20,20,30,30,40,60,60,96,160,15,15,15,30,60,60,60,120,96,40,40,120,80,80,
160,1,5,5,10,15,15,15,15,30,30,30,40,40,40,15,15,15,30,10,20,20,40,16,16,16,
16,5,6,10,6,5,1],[1,15,180,80,320,15,20,60,60,90,90,120,120,180,180,360,576,
240,480,960,15,30,30,45,45,90,90,90,180,180,180,180,180,360,360,360,160,576,
20,80,80,80,120,240,240,240,240,240,480,1,15,15,30,45,45,45,45,90,90,90,90,90,
90,90,180,180,180,180,160,60,120,120,120,120,120,240,240,240,240,240,240,15,
45,45,45,45,45,45,90,90,90,90,90,80,160,20,20,60,60,60,60,120,120,120,96,96,
96,96,96,15,15,45,45,45,45,45,80,36,15,60,60,60,60,45,10,36,15,15,15,15,10,16,
16,15,15,10,6,6,1]],
[1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,5,6,6,6,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,9,10,
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,
16,16,16,16,18,24,24,24,24,24,24,24,24,24,24,24,24,32,32,32,32,32,32,32,32,32,
32,32,32,36,36,48,48,48,48,48,48,48,48,48,60,60,60,60,60,64,64,64,64,64,64,64,
72,80,96,96,96,96,96,128,144,160,192,192,192,192,288,360,360,384,384,576,960,
960,5760],
[139,134,92,117,69,135,131,120,120,112,114,101,102,88,89,68,38,81,48,20,134,
129,128,124,124,111,112,114,91,92,82,91,92,60,68,68,95,38,131,117,117,117,102,
81,80,78,76,81,49,139,135,135,130,124,124,124,124,114,111,111,112,112,111,114,
91,91,92,92,95,121,103,102,102,102,99,76,77,78,79,80,81,134,124,124,124,124,
124,124,111,112,114,112,114,117,95,131,131,121,121,123,120,102,103,104,105,
106,107,108,109,134,135,124,124,124,124,124,117,126,134,120,121,122,123,124,
136,126,134,134,134,135,136,132,133,134,135,136,137,138,139],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,5,1,1,2,1,1,1,1,2,2,1,2,1,1,2,3,3,1,17,
7,1,7,7,13,4,6,8,9,4,12,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,11,11,3,3,37,7,23,43,43,
13,39,47,41,46,42,45,18,2,6,6,6,6,6,6,6,10,11,10,11,7,37,50,7,39,39,52,51,43,
71,53,105,106,107,108,109,21,6,25,24,24,25,21,94,50,82,101,70,96,100,57,50,
118,82,119,119,111,125,132,133,119,130,125,137,138,139],
[( 1, 3)( 4,12)( 5, 8)( 6,16)(10,18)(13,22)(14,21)(15,17),( 2, 7, 6,12,20)
( 3, 4, 9,10,15)( 5,19, 8,11,13)(14,18,21,16,17)],
[[[[]]],[[[1,1,2,1],[2,1,3,2,1,1,2,1,1,1]]],[[[1,1]]],[[[1,1,2,1],[2,1,1,1,2,
-1],[4,1,3,1,4,1,3,-1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-1]]],[[[1,1,2,1],[2,2,3,
3,1,1,2,-1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,2,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,
1,4,-4,3,-1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,2,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,
1,2,1,3,1,4,-2,3,-1]],[[1,1,2,-2,1,1,2,2,1,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,
1,4,-1,3,1,4,-1,2,-1]],[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]]],[[[1,1,2,
1],[2,1,1,1],[3,1,4,-4,3,-1]],[[2,1,1,1],[3,1,1,1,2,1,3,-1,2,-1]]],[[[1,1,2,1,
1,1,2,1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,-2]],[[2,-1,1,1,2,1]]],[[[2,1,1,
1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[1,1,2,-2,1,1,2,2,1,1]]],[[[1,1,2,1],[2,
2,3,3,1,1,2,-1]],[[1,1,2,-2,1,1,2,2,1,1]]],[[[1,1,2,1],[3,2,2,1,3,1]]],[[[1,1,
2,1,1,1,2,-1]]],[[[2,1]]],[[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,-1]]],[[[1,1,2,1],[
2,1,1,1],[3,1,2,1,3,1,4,-2,3,-1]],[[1,1,2,-1,1,1,2,1,1,1]]],[[[1,1,2,1],[2,1,
1,1],[4,2,3,-2,2,-1,3,-1]],[[2,1,1,1],[3,1,2,2,3,-1,2,-1,1,1,2,-1]]],[[[1,1,2,
1],[2,2,3,3,1,1,2,-1]],[[1,1,2,1],[2,1,3,2,1,1,2,1,1,1]],[[1,1,2,1],[3,1,1,1,
2,1,1,1,2,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,1]],[[1,1,2,1],[
3,1,2,1,1,1,2,-1,3,-1]],[[1,1,2,1],[2,2,3,3,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1,
2,-1],[4,1,3,-2,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,1,4,1]]],[[[1,1,2,
1],[3,1,1,1,2,1,1,1,2,1,3,1]],[[2,2,1,1,2,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,
1],[1,1,2,-2,4,-1,3,2,4,1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,2,1,3,1]],[[1,1,2,1],[
2,2,3,3,1,1,2,-1]]],[[[1,1,2,1],[2,2,3,3,1,1,2,-1]],[[1,1,2,1],[3,1,2,1,1,1,2,
-1,3,1,2,1,3,1]]],[[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]],[[1,1,2,-2,1,1,2,-1,1,
1,2,1,1,1]]],[[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]],[[1,1,2,-2,1,1,2,2,1,1]]],[[[
1,1,2,1],[2,2,1,1],[4,1,3,-1,4,1,3,-1]],[[1,1,2,1],[2,-2,1,1,3,-2]]],[[[2,1,1,
1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[2,1,1,1],[3,1,1,1,2,1,3,-1,2,-1]],[[2,1,
1,1,2,1,1,1,2,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-4,3,-1]],[[1,1,2,
-2,1,1,2,2,1,1]]],[[[1,1,2,1]]],[[[2,1,1,1],[2,1,3,-1,1,1,2,1,3,1,2,-2]],[[1,
1,2,-1,1,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,3,-1,4,2,2,-1,3,-1]],[[1,1,2,
-2,1,1,2,2,1,1]]],[[[1,1,2,-2,1,1,2,2,1,1]],[[1,1,2,1],[3,2,2,2,3,1]]],[[[1,1,
2,-2,1,1,2,2,1,1]],[[1,1,2,-1,1,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,
3,2,4,2]],[[1,1,2,1],[2,1,1,1],[3,2,4,-1,3,-1,4,1,2,-1]]],[[[1,1,2,1],[3,1,1,
1,3,-1,2,1,1,1,2,-1]],[[2,2],[3,1,2,1,1,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,
-1,3,-1,4,1,2,-1]],[[1,1,2,1],[2,2,3,3,1,1,2,-1]]],[[[1,1,2,1],[2,2,3,3,1,1,2,
-1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-1,3,-2]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,2,
1,3,1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,
3,-2,4,1,3,-1,2,-1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,2,1,3,1]]],[[[1,1,2,1],[2,1,
1,1],[3,2,4,-1,3,-1,4,1,2,-1]],[[1,1,2,-2,1,1,2,2,1,1]]],[[[1,1,2,1],[3,1,2,1,
1,1,2,-1,3,1,2,1,3,1]],[[1,1,2,1],[2,-2,1,1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[3,
1,4,-4,3,-1]],[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[
1,1,2,-2,4,-1,3,2,4,1]],[[1,1,2,1],[2,1,3,1,1,1,2,-1,1,1,2,-2,3,1]]],[[[1,1,2,
1],[2,1,1,1],[4,2,3,-2,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,1,4,1,3,
-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-2,3,-1]],[[2,1,1,1],[3,1,2,2,3,-1,
2,-1,1,1,2,-1]]],[[[1,1,2,-1,1,1,2,2,1,1,2,-2]],[[1,1,2,-2,1,1,2,2,1,1]]],[[[
1,1,2,1],[2,1,1,1],[1,1,3,-1,4,1,2,1,3,2,4,1]],[[1,1,2,1],[2,1,3,2,1,1,2,1,1,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2],[4,1,5,1,4,1,5,1]],[[1,1,2,1],[2,1,1,1],[3,
1,4,-4,3,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-4,3,-1]],[[2,1,1,1],[3,1,1,1,2,1,
3,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,1,4,-1,2,-1]],[[2,1,1,1],[1,
1,2,-1,3,-1,1,1,2,1,1,1,3,1]]],[[[1,1,2,1],[2,1,1,1,2,-1],[4,1,3,1,4,1,3,
1]],[[1,1,2,-2,1,1,2,-1,1,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,-1,4,
2,3,-1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,1,2,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,
1,4,-4,3,-1]],[[2,1,1,1],[2,1,3,1],[4,1,2,-1,1,1,4,1,3,1]],[[1,1,2,1],[2,1,1,
1],[3,2],[5,1,4,-2,5,-1]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,2,1,3,1]],[[2,1,1,1],[
1,1,2,-1,3,-2,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,2,3,-1]],[[1,1,2,
-2,1,1,2,2,1,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-4,3,-1]],[[1,1,2,-2,1,1,2,2,1,
1]],[[1,1,2,1],[2,2,3,3,1,1,2,-1]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,2,1,3,1]],[[
2,1,1,1,2,-2]]],[[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,-1]],[[1,1,2,1],[3,1,2,1,
1,1,2,1,3,1]]],[[[1,1,2,1],[3,1,2,1,3,2,2,1,1,1,2,-1]],[[1,1,2,1],[3,1,1,1,2,
1,1,1,2,1,3,1]],[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,
1],[2,1,4,-1,3,2,1,1,4,1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,2,1,3,1]]],[[[1,1,2,
1],[2,2,3,3,1,1,2,-1]],[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[1,1,2,-2,
1,1,2,2,1,1]]],[[[2,1,1,1],[2,1,3,1],[1,1,2,1,4,-1,3,-1,4,-1]],[[1,1,2,1],[3,
1,1,1,2,1,1,1,2,1,3,1]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,2,1,3,1]],[[2,2,1,1,2,1,
1,1,2,-1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1]]],[[[2,2],[3,1,2,1,1,1,3,1]],[[
1,1,2,1,1,1,2,-2]]],[[[2,1,1,1],[2,1,3,1],[4,1,2,-1,1,1,4,1,3,1]],[[1,1,2,1],[
2,1,1,1,2,-1],[4,1,3,-1,4,1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,1,2,1,4,-1,3,
1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1]]],[[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,
1,3,1]],[[1,1,2,1],[3,2,2,2,3,1]],[[1,1,2,-2,1,1,2,2,1,1]]],[[[2,1,1,1],[3,1,
2,-2,1,1,2,2,3,-1]],[[1,1,2,-1,1,1,2,1,1,1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,3,
-2]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,2,1,3,1]],[[1,1,2,-1],[3,2,2,-1,1,1,2,
1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,-1,3,1,4,1]],[[1,1,2,1],[2,1,1,1,2,-1],[4,1,
3,1,4,1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-2,3,-1]],[[1,1,2,-2,1,1,
2,1,1,1,2,1,1,1]],[[1,1,2,-1,1,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,1,2,
1,4,-1,3,1]],[[2,2],[3,1,2,1,1,1,3,1]]],[[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,-1,
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LIBTOM( "2^4:A7",
[[1],[1,2],[1,3],[1,4],[1,5],[1,2,6],[1,3,7],[1,3,8],[1,2,3,9],[1,2,10],[1,3,
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4,6,35],[1,2,5,6,36],[1,3,5,7,37],[1,2,4,6,38],[1,2,5,6,15,39],[1,3,4,7,14,
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1,2,3,5,9,15,16,46],[1,2,5,10,15,47],[1,3,4,12,14,48],[1,2,18,49],[1,2,6,19,
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11,20,21,26,27,29,57],[1,2,6,10,23,30,58],[1,2,3,6,9,12,20,28,59],[1,2,3,6,9,
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8,9,11,12,21,24,28,31,32,63],[1,2,3,7,8,9,10,12,24,26,28,64],[1,3,4,5,16,17,
33,65],[1,3,12,13,34,66],[1,5,18,67],[1,2,3,5,7,8,9,15,24,37,68],[1,2,3,4,6,9,
14,20,35,69],[1,2,5,10,15,25,70],[1,2,5,6,15,19,36,71],[1,2,3,5,9,11,15,21,43,
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31,42,83],[1,2,3,5,6,9,10,15,16,29,39,46,47,84],[1,2,3,6,7,8,9,10,19,20,23,24,
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90],[1,2,3,6,9,10,19,20,23,29,30,55,58,91],[1,2,3,6,9,10,22,23,25,26,27,29,30,
52,58,60,61,62,92],[1,2,3,6,9,10,11,12,20,21,23,26,27,28,29,54,57,59,93],[1,2,
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10,22,23,26,27,29,30,53,58,60,95],[1,3,4,5,7,14,33,37,40,41,42,96],[1,2,4,5,6,
15,33,35,36,38,39,97],[1,3,4,5,12,16,17,33,65,98],[1,2,5,15,18,49,67,99],[1,2,
4,6,19,35,38,50,100],[1,2,3,5,6,7,8,9,20,24,36,42,51,101],[1,2,3,5,6,7,8,9,15,
20,24,37,39,51,68,102],[1,2,3,4,6,7,8,9,14,20,24,35,40,51,69,103],[1,2,5,6,15,
19,36,39,50,71,104],[1,2,3,4,6,7,8,9,20,24,38,41,45,51,105],[1,2,3,4,6,9,12,
14,20,28,35,48,59,69,106],[1,2,3,5,7,8,9,10,12,15,24,26,28,37,47,64,68,107],[
1,2,3,5,6,9,10,15,16,19,20,23,29,36,46,55,71,77,108],[1,2,4,6,10,23,38,53,
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22,25,30,47,62,70,111],[1,2,5,6,10,15,23,25,39,52,70,112],[1,2,5,6,10,15,19,
23,36,47,56,71,113],[1,2,3,5,7,8,9,11,12,15,16,21,24,28,31,32,37,46,63,68,78,
114],[1,2,3,5,9,10,15,16,25,27,30,46,61,70,115],[1,2,3,5,7,8,9,11,12,15,16,21,
24,28,31,32,43,46,63,72,73,74,116],[1,2,5,10,15,22,25,30,47,62,75,117],[1,2,6,
18,19,118],[1,3,4,7,13,17,34,41,119],[1,3,4,8,13,17,34,45,120],[1,3,5,11,13,
16,34,43,121],[1,3,4,8,13,17,34,45,122],[1,2,3,6,7,8,9,10,19,20,23,24,25,29,
50,51,52,53,54,55,56,85,86,90,123],[1,2,3,6,9,10,11,19,20,21,22,23,26,27,29,
50,55,56,57,60,86,87,88,124],[1,2,3,6,9,10,12,19,20,23,25,28,29,52,53,54,55,
56,59,88,89,90,125],[1,2,3,6,7,8,9,10,19,20,23,24,29,30,51,54,55,56,58,85,88,
91,126],[1,2,3,6,7,8,9,10,11,12,19,20,21,22,23,24,26,27,28,29,31,32,51,54,55,
57,59,60,63,64,85,87,89,93,94,127],[1,2,3,6,9,10,11,19,20,21,22,23,25,26,27,
29,30,52,53,54,55,56,57,58,60,61,62,87,90,91,92,95,128],[1,2,3,6,9,10,12,19,
20,23,28,29,30,50,55,56,58,59,86,89,91,129],[1,3,4,5,7,11,12,14,16,17,31,33,
37,40,41,42,44,48,65,78,79,81,83,96,130],[1,2,3,4,5,6,9,10,15,16,17,29,33,35,
36,38,39,46,47,65,76,77,80,84,97,131],[1,2,6,13,19,50,132],[1,2,3,4,6,9,10,14,
19,20,23,29,35,38,50,55,56,69,86,100,133],[1,2,3,5,6,7,8,9,10,15,19,20,23,24,
29,36,42,51,54,55,71,85,101,134],[1,2,3,5,6,9,10,11,15,19,20,21,22,23,26,27,
29,36,43,55,57,60,71,72,75,87,135],[1,2,3,4,6,9,10,17,19,20,23,29,35,38,50,55,
56,76,80,86,100,136],[1,2,3,5,6,7,8,9,10,11,12,16,20,21,24,26,27,28,29,31,32,
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24,26,27,28,29,31,32,37,39,46,47,51,57,59,63,64,68,78,84,94,102,107,114,138],[
1,2,3,5,6,9,10,15,16,19,20,23,29,36,39,46,47,50,55,56,71,77,84,86,104,108,113,
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59,63,64,80,81,82,94,105,140],[1,2,3,5,6,9,10,15,16,22,23,25,26,27,29,30,39,
46,47,52,58,60,61,62,70,84,92,111,112,115,141],[1,2,3,4,6,7,8,9,10,11,12,14,
17,20,21,24,26,27,28,29,31,32,35,40,44,48,51,57,59,63,64,69,76,79,94,103,106,
110,142],[1,2,3,4,6,9,10,17,22,23,26,27,29,30,38,53,58,60,80,95,109,143],[1,2,
6,18,19,49,50,118,144],[1,3,4,7,11,12,13,14,17,31,34,41,44,66,81,119,145],[1,
3,4,8,11,12,13,14,17,32,34,44,45,66,82,120,146],[1,2,3,6,7,8,9,10,11,12,19,20,
21,22,23,24,25,26,27,28,29,30,31,32,50,51,52,53,54,55,56,57,58,59,60,61,62,63,
64,85,86,87,88,89,90,91,92,93,94,95,123,124,125,126,127,128,129,147],[1,2,4,5,
6,15,19,33,35,36,38,39,50,71,97,100,104,148],[1,2,3,4,5,6,7,8,9,14,15,20,24,
33,35,36,37,38,39,40,41,42,45,51,68,69,96,97,101,102,103,105,149],[1,2,3,6,9,
10,13,19,20,23,29,34,50,55,56,86,132,150],[1,3,5,7,11,12,16,18,31,37,43,67,74,
78,151],[1,2,5,6,15,18,19,36,67,71,118,152],[1,3,5,7,11,12,16,18,31,42,43,67,
74,83,153],[1,2,3,5,6,7,8,9,10,15,19,20,23,24,25,29,36,39,42,50,51,52,53,54,
55,56,71,85,86,90,101,104,123,134,154],[1,2,3,4,6,7,8,9,10,19,20,23,24,25,29,
35,38,41,45,50,51,52,53,54,55,56,85,86,90,100,105,109,123,155],[1,2,3,5,6,7,8,
9,10,15,19,20,23,24,25,29,36,37,39,50,51,52,53,54,55,56,68,70,71,85,86,90,102,
104,112,123,156],[1,2,3,4,6,7,8,9,10,14,19,20,23,24,25,29,35,38,40,50,51,52,
53,54,55,56,69,85,86,90,100,103,123,133,157],[1,2,3,5,6,9,10,11,15,19,20,21,
22,23,26,27,29,36,39,43,50,55,56,57,60,71,72,75,86,87,88,104,124,135,158],[1,
2,3,5,6,9,10,11,15,19,20,21,22,23,25,26,27,29,30,36,43,47,52,53,54,55,56,57,
58,60,61,62,71,72,75,87,90,91,92,95,113,117,128,135,159],[1,2,3,4,6,9,10,11,
14,17,19,20,21,22,23,26,27,29,35,38,44,50,55,56,57,60,69,76,80,86,87,88,100,
110,124,133,136,160],[1,2,3,5,6,7,8,9,10,15,19,20,23,24,29,30,36,42,47,51,54,
55,56,58,71,85,88,91,101,113,126,134,161],[1,2,3,5,6,7,8,9,10,11,12,15,16,19,
20,21,22,23,24,26,27,28,29,31,32,36,43,46,51,54,55,57,59,60,63,64,71,72,73,74,
75,77,85,87,89,93,94,108,116,127,135,162],[1,2,3,5,6,7,8,9,10,11,12,15,16,19,
20,21,22,23,24,26,27,28,29,31,32,36,42,46,51,54,55,57,59,60,63,64,71,77,83,85,
87,89,93,94,101,108,127,134,137,163],[1,2,3,4,6,9,10,12,14,19,20,23,28,29,30,
35,38,48,50,55,56,58,59,69,86,89,91,100,106,129,133,164],[1,2,3,4,5,6,9,10,15,
16,17,19,20,23,29,33,35,36,38,39,46,47,50,55,56,65,71,76,77,80,84,86,97,100,
104,108,113,131,136,139,148,165],[1,2,3,4,5,6,7,8,9,10,11,12,14,15,16,17,20,
21,24,26,27,28,29,31,32,33,35,36,37,38,39,40,41,42,44,45,46,47,48,51,57,59,63,
64,65,68,69,76,77,78,79,80,81,82,83,84,94,96,97,101,102,103,105,106,107,110,
114,130,131,137,138,140,142,149,166],[1,2,3,6,9,10,12,13,19,20,23,28,29,30,34,
50,55,56,58,59,66,86,89,91,129,132,150,167],[1,2,5,6,15,18,19,36,39,49,50,67,
71,99,104,118,144,152,168],[1,2,5,10,15,18,22,25,30,47,49,62,67,70,75,99,111,
117,169],[1,2,3,5,7,8,9,11,12,15,16,18,21,24,28,31,32,37,43,46,49,63,67,68,72,
73,74,78,99,114,116,151,170],[1,3,4,5,8,11,12,13,16,17,32,33,34,43,45,65,73,
82,98,121,122,171],[1,3,4,5,7,11,12,13,16,17,31,33,34,41,43,65,74,81,98,119,
121,172],[1,2,3,5,6,7,8,9,10,11,12,15,16,19,20,21,22,23,24,25,26,27,28,29,30,
31,32,36,37,39,46,47,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,68,70,71,77,
78,84,85,86,87,88,89,90,91,92,93,94,95,102,104,107,108,111,112,113,114,115,
123,124,125,126,127,128,129,138,139,141,147,156,173],[1,2,3,5,6,7,8,9,10,11,
12,15,16,19,20,21,22,23,24,25,26,27,28,29,30,31,32,36,39,42,46,47,50,51,52,53,
54,55,56,57,58,59,60,61,62,63,64,71,77,83,84,85,86,87,88,89,90,91,92,93,94,95,
101,104,108,113,123,124,125,126,127,128,129,134,137,139,147,154,161,163,174],[
1,2,3,5,6,7,8,9,10,11,12,15,16,19,20,21,22,23,24,25,26,27,28,29,30,31,32,36,
39,43,46,47,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,71,72,73,74,75,77,84,
85,86,87,88,89,90,91,92,93,94,95,104,108,113,116,117,123,124,125,126,127,128,
129,135,139,147,158,159,162,175],[1,2,3,4,6,7,8,9,10,11,12,17,19,20,21,22,23,
24,25,26,27,28,29,30,31,32,35,38,41,45,50,51,52,53,54,55,56,57,58,59,60,61,62,
63,64,76,80,81,82,85,86,87,88,89,90,91,92,93,94,95,100,105,109,123,124,125,
126,127,128,129,136,140,143,147,155,176],[1,2,3,4,6,7,8,9,10,11,12,14,17,19,
20,21,22,23,24,25,26,27,28,29,30,31,32,35,38,40,44,48,50,51,52,53,54,55,56,57,
58,59,60,61,62,63,64,69,76,79,80,85,86,87,88,89,90,91,92,93,94,95,100,103,106,
110,123,124,125,126,127,128,129,133,136,142,147,157,160,164,177],[1,2,3,4,5,6,
7,8,9,10,14,15,19,20,23,24,25,29,33,35,36,37,38,39,40,41,42,45,50,51,52,53,54,
55,56,68,69,70,71,85,86,90,96,97,100,101,102,103,104,105,109,112,123,133,134,
148,149,154,155,156,157,178],[1,2,3,4,5,6,9,10,12,15,16,17,19,20,23,28,29,30,
33,35,36,38,39,46,47,50,55,56,58,59,65,71,76,77,80,84,86,89,91,97,98,100,104,
108,113,129,131,136,139,148,165,179],[1,2,3,4,6,7,8,9,10,13,17,19,20,23,24,25,
29,34,35,38,41,45,50,51,52,53,54,55,56,76,80,85,86,90,100,105,109,119,120,122,
123,132,136,150,155,180],[1,2,3,5,6,9,10,11,13,15,16,19,20,21,22,23,26,27,29,
34,36,39,43,46,47,50,55,56,57,60,71,72,75,77,84,86,87,88,104,108,113,121,124,
132,135,139,150,158,181],[1,2,3,4,5,6,7,8,9,10,11,12,14,15,16,17,19,20,21,22,
23,24,25,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,44,45,46,47,48,50,51,
52,53,54,55,56,57,58,59,60,61,62,63,64,65,68,69,70,71,76,77,78,79,80,81,82,83,
84,85,86,87,88,89,90,91,92,93,94,95,96,97,100,101,102,103,104,105,106,107,108,
109,110,111,112,113,114,115,123,124,125,126,127,128,129,130,131,133,134,136,
137,138,139,140,141,142,143,147,148,149,154,155,156,157,160,161,163,164,165,
166,173,174,176,177,178,182],[1,2,3,5,6,7,8,9,10,11,12,15,16,18,19,20,21,22,
23,24,26,27,28,29,31,32,36,42,43,46,51,54,55,57,59,60,63,64,67,71,72,73,74,75,
77,83,85,87,89,93,94,101,108,116,118,127,134,135,137,152,153,162,163,183],[1,
2,3,4,6,7,8,9,10,11,12,13,14,17,19,20,21,22,23,24,25,26,27,28,29,30,31,32,34,
35,38,41,44,45,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,69,76,80,81,82,
85,86,87,88,89,90,91,92,93,94,95,100,105,109,110,119,120,122,123,124,125,126,
127,128,129,132,133,136,140,143,145,146,147,150,155,160,167,176,180,184],[1,3,
4,5,7,11,12,13,14,16,17,18,31,33,34,37,40,41,42,43,44,48,65,66,67,74,78,79,81,
83,96,98,119,121,130,145,151,153,172,185],[1,2,3,5,6,7,8,9,10,11,12,15,16,18,
19,20,21,22,23,24,25,26,27,28,29,30,31,32,36,39,42,43,46,47,49,50,51,52,53,54,
55,56,57,58,59,60,61,62,63,64,67,71,72,73,74,75,77,83,84,85,86,87,88,89,90,91,
92,93,94,95,99,101,104,108,113,116,117,118,123,124,125,126,127,128,129,134,
135,137,139,144,147,152,153,154,158,159,161,162,163,168,174,175,183,186],[1,2,
3,5,6,7,8,9,10,11,12,15,16,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,36,37,
39,43,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,67,68,70,71,72,73,
74,75,77,78,84,85,86,87,88,89,90,91,92,93,94,95,99,102,104,107,108,111,112,
113,114,115,116,117,118,123,124,125,126,127,128,129,135,138,139,141,144,147,
151,152,156,158,159,162,168,169,170,173,175,187],[1,2,3,4,5,6,7,8,9,10,11,12,
13,15,16,17,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,38,39,41,43,
45,46,47,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,71,72,73,74,75,76,77,
80,81,82,84,85,86,87,88,89,90,91,92,93,94,95,97,98,100,104,105,108,109,113,
116,117,119,120,121,122,123,124,125,126,127,128,129,131,132,135,136,139,140,
143,147,148,150,155,158,159,162,165,171,172,175,176,179,180,181,188],[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]],
0,[[1],[1,1],[1,1],[1,1],[1,1],[1,3,1],[1,3,1],[1,3,1],[1,1,2,1],[1,1,1],[1,3,
1],[1,1,1],[1,1],[1,1,1,1],[1,1,1,1],[1,3,1,1],[1,3,1,1],[1,1],[1,7,7,1],[1,3,
4,1,6,1],[1,1,6,3,4,1],[1,1,3,1],[1,3,1,2,1],[1,1,6,1,3,3,1],[1,1,3,1],[1,1,2,
1,2,1],[1,1,4,2,1,1],[1,1,2,1,2,1],[1,3,2,1,1,1,1],[1,1,1,1],[1,5,1,1,1,1],[1,
5,1,1,1,1],[1,2,2,1],[1,5,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,
1],[1,3,1,1,3,1],[1,3,1,1,3,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,7,1,3,1,
2,1],[1,3,4,1,1],[1,1,6,1,3,1,2,1],[1,1,1,3,1,1],[1,1,1,3,1,1],[1,1,1,1],[1,
15,35,15,1],[1,3,12,1,4,12,18,3,12,1],[1,3,1,6,3,4,1],[1,3,1,6,3,1],[1,3,4,1,
6,4,1,2,1],[1,7,4,7,6,2,1,1,1,4,1],[1,7,7,4,1,2,1],[1,3,8,1,8,2,4,1,1,1,2,2,
1],[1,3,1,2,1,2,1],[1,3,4,1,6,4,1,2,1],[1,3,4,1,2,4,1,1,2,1,2,1],[1,1,4,2,3,1,
1,1,1],[1,1,5,1,1,1,1],[1,1,10,1,3,5,4,2,1,1,1,2,2,1],[1,1,6,1,3,3,2,2,1,1,1,
1],[1,9,2,2,6,6,1,1],[1,5,5,1,1,1],[1,7,1,1],[1,1,6,4,1,3,3,4,1,1,1],[1,3,4,4,
1,6,4,1,1,1],[1,1,4,3,4,1,1],[1,7,4,7,4,1,1,1],[1,1,6,4,3,4,4,1,1,1],[1,9,4,3,
1,3,4,3,1,1],[1,9,4,3,1,3,4,3,1,1],[1,1,4,3,4,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,
3,6,4,1,3,3,4,3,1,1],[1,9,4,1,3,3,4,3,1,1],[1,9,1,1,3,3,3,2,3,1,1,1,1],[1,3,6,
4,1,3,3,4,3,1,1],[1,9,4,1,3,3,4,3,1,1],[1,9,4,1,3,3,4,3,1,1],[1,9,4,1,3,3,4,3,
1,1],[1,3,6,1,1,3,3,3,2,3,1,1,1,1],[1,7,12,7,4,12,18,6,1,3,3,12,12,1,3,3,1],[
1,15,4,35,6,6,15,1,3,12,1,3,3,1],[1,7,12,7,18,6,8,1,3,2,2,3,6,6,12,3,6,6,1],[
1,7,4,7,6,10,1,1,5,4,1,2,1],[1,7,4,7,6,2,8,1,1,1,4,4,1,2,1],[1,7,4,7,6,10,1,1,
5,4,4,1,1,2,1,2,1],[1,7,4,7,6,2,1,1,1,4,4,1,2,1],[1,3,4,1,2,8,1,3,4,2,1,2,2,1,
1,1,2,2,1],[1,3,8,1,8,6,4,4,1,1,2,1,2,2,2,1,1,1,1],[1,3,16,1,4,12,20,2,4,4,3,
1,12,1,2,2,2,4,4,1,1,1,2,2,1],[1,3,4,1,2,8,1,3,2,1,2,2,1,1,1,1],[1,3,5,8,1,3,
4,1,1,1,1,1],[1,3,8,5,1,3,4,1,1,1,1,1],[1,9,2,2,9,6,6,1,1,1],[1,1,7,7,1,1,1,
1],[1,15,16,35,15,4,16,1,1],[1,3,12,16,1,4,12,18,3,12,4,16,1,1],[1,3,12,4,1,4,
12,18,12,3,12,1,4,1,3,1],[1,3,12,4,1,4,12,18,12,3,12,1,4,1,3,1],[1,15,4,35,12,
15,1,4,1,3,1],[1,3,12,16,1,4,12,18,3,12,4,4,12,1,1],[1,3,4,4,1,6,12,4,1,6,1,4,
3,1,1],[1,1,6,4,1,3,3,6,6,4,1,3,3,1,4,3,1,1],[1,7,12,4,7,18,6,4,8,1,3,3,12,1,
4,3,1,2,1],[1,3,16,1,6,3,4,1,1],[1,3,16,4,1,12,6,12,4,8,1,3,3,6,6,1,4,3,1,2,
1],[1,1,4,9,4,3,1,3,4,3,1,1],[1,3,4,1,6,12,3,4,4,1,1,1],[1,7,4,7,12,4,1,6,1,4,
3,1,1],[1,1,18,4,1,3,9,12,6,4,8,3,1,3,6,6,1,4,3,1,2,1],[1,1,12,4,6,3,4,8,1,3,
3,4,3,1,1],[1,1,18,4,3,9,9,4,6,4,8,1,3,3,6,6,1,4,3,1,1,1,1],[1,1,4,9,4,1,3,3,
4,3,1,1],[1,7,7,8,1,1],[1,15,10,5,6,10,6,5,1],[1,15,10,5,6,10,6,5,1],[1,15,10,
5,6,10,6,5,1],[1,15,10,5,6,10,6,5,1],[1,15,12,35,4,12,18,18,15,3,9,12,12,36,1,
1,3,3,9,9,9,3,3,9,1],[1,15,12,35,18,18,8,15,3,2,2,9,6,6,36,1,9,9,6,6,3,1,3,
1],[1,7,4,7,6,18,8,1,1,9,4,4,4,1,1,2,1,4,2,1,1,1,1],[1,7,12,7,4,12,18,14,1,3,
7,12,12,4,1,3,3,2,2,1,1,1,1],[1,7,20,7,4,12,30,10,8,8,1,5,2,2,5,12,6,6,4,20,8,
8,1,3,5,6,2,6,4,4,1,1,1,2,2,1],[1,7,12,7,18,14,8,1,3,2,2,7,4,6,6,12,4,1,1,2,3,
2,6,2,6,4,4,1,1,1,2,2,1],[1,15,4,35,6,6,8,15,1,3,4,12,4,1,3,3,2,2,1,1,1,1],[1,
21,5,8,1,9,9,3,24,18,9,4,1,1,1,1,3,3,4,3,3,3,3,1,1],[1,3,18,8,5,1,9,9,3,18,24,
9,4,1,1,1,1,3,3,4,3,3,3,3,1,1],[1,15,35,16,15,1,1],[1,15,4,16,35,6,6,16,15,1,
3,12,4,16,1,3,3,4,1,1,1],[1,7,12,16,7,4,12,18,6,16,1,3,3,12,12,4,16,1,3,3,4,1,
1,1],[1,7,12,16,7,18,6,8,16,1,3,2,2,3,6,6,12,4,8,3,6,6,4,8,8,1,1],[1,15,12,16,
35,18,18,16,15,3,9,36,4,16,1,9,9,4,8,3,1,1],[1,3,24,16,1,4,12,24,6,12,12,16,3,
3,12,3,6,6,6,12,12,4,16,1,3,3,6,6,4,8,3,1,1],[1,3,24,4,1,4,12,24,6,12,12,12,8,
3,3,12,3,6,6,6,12,12,1,4,4,4,1,3,3,6,6,3,2,4,3,1,1,1,1],[1,15,12,4,35,18,18,
12,8,15,3,9,36,1,4,4,4,1,9,9,3,2,4,3,1,1,1,1],[1,3,24,16,1,4,12,24,6,12,12,16,
3,3,12,3,6,6,6,12,12,4,4,12,1,3,3,6,6,4,4,4,3,1,1],[1,3,12,4,1,6,12,12,8,3,3,
4,6,3,6,6,4,4,4,1,3,3,6,6,1,4,3,1,1,1,1],[1,3,24,4,1,4,12,24,6,12,12,12,8,3,3,
12,3,6,6,6,12,12,1,4,4,4,1,3,3,6,6,3,2,4,3,1,1,1,1],[1,3,12,16,1,6,12,16,3,3,
6,3,6,6,4,1,3,3,4,3,1,1],[1,15,35,8,15,8,1,1,1],[1,25,10,5,15,15,6,10,20,15,6,
5,10,6,5,1,1],[1,25,10,5,15,15,6,10,20,15,6,10,5,6,5,1,1],[1,15,20,35,4,12,30,
30,8,8,15,5,2,2,15,12,12,6,6,4,60,4,8,8,1,1,3,3,9,15,15,6,2,2,6,4,4,4,4,3,5,1,
3,1,9,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,15,32,8,35,24,15,16,8,2,32,8,1,6,8,2,2,
1],[1,3,12,20,20,1,4,12,18,12,12,3,12,16,1,4,1,4,4,4,4,16,12,1,3,3,4,4,1,1,1,
1,1],[1,15,20,35,30,30,16,15,5,15,60,16,1,15,15,5,1,1],[1,21,28,7,7,21,28,8,
21,7,7,8,7,7,1],[1,7,28,7,28,8,1,7,8,7,1,1],[1,21,28,7,7,21,28,8,21,7,7,8,7,7,
1],[1,15,12,16,35,4,12,18,18,48,15,3,9,12,12,36,4,16,16,1,1,3,3,9,9,9,12,3,3,
9,1,4,1,3,1],[1,15,12,64,35,4,12,18,18,15,3,9,12,12,36,16,64,16,48,1,1,3,3,9,
9,9,3,3,9,4,4,12,1,1],[1,15,12,16,35,4,12,18,18,48,15,3,9,12,12,36,4,4,16,1,1,
3,3,9,9,9,12,12,12,3,3,9,4,4,12,1,1],[1,15,12,16,35,4,12,18,18,48,15,3,9,12,
12,36,4,16,16,1,1,3,3,9,9,9,12,3,3,9,1,4,1,3,1],[1,15,12,16,35,18,18,8,48,15,
3,2,2,9,6,6,36,4,16,8,1,9,9,6,6,12,8,8,3,1,3,4,1,1,1],[1,7,12,16,7,18,30,8,16,
1,3,2,2,15,12,6,6,12,12,4,8,16,3,3,6,3,6,6,6,6,12,12,4,8,8,1,3,3,6,6,4,8,3,1,
1],[1,15,28,16,35,42,42,24,16,32,15,7,6,6,21,18,18,84,4,16,16,1,21,21,18,18,4,
8,16,7,3,9,1,4,3,1,2,1],[1,7,12,16,7,4,12,18,30,16,1,3,15,12,12,12,4,16,16,1,
3,3,6,6,4,1,3,3,1,4,3,1,1],[1,7,36,16,7,12,36,54,18,8,24,16,32,1,9,2,2,9,36,6,
6,12,36,24,24,4,8,16,3,9,9,6,6,6,12,12,4,8,8,8,8,8,3,1,3,6,6,4,8,3,1,1],[1,7,
36,16,7,4,12,54,18,24,24,16,32,1,9,6,6,9,12,18,18,12,36,24,24,4,16,16,1,3,9,
18,6,18,12,12,4,8,16,1,3,3,6,6,1,4,3,1,2,1],[1,15,4,16,35,6,6,24,16,15,1,3,12,
12,12,4,16,16,1,3,3,6,6,4,1,3,3,1,4,3,1,1],[1,15,36,32,8,35,54,54,24,48,96,15,
9,27,108,16,8,2,32,8,24,24,1,27,27,16,6,24,12,48,24,9,8,2,2,6,6,8,6,6,1,1],[1,
3,48,20,20,1,4,12,36,18,36,36,12,12,72,72,3,9,12,9,18,18,18,36,36,16,1,4,1,4,
4,4,4,16,12,12,12,12,12,1,9,9,18,18,16,3,3,6,12,6,12,12,12,12,24,12,9,4,4,1,1,
1,1,3,3,3,3,4,4,3,3,3,3,1,1],[1,15,20,35,30,30,40,16,15,5,15,20,60,20,16,1,15,
15,10,10,16,5,5,5,5,1,1,1],[1,15,28,35,84,8,15,7,28,8,1,8,21,8,7,1,1,1,1],[1,
1,28,21,28,8,7,7,21,28,8,21,8,7,7,8,7,7,1],[1,1,42,28,7,21,21,28,42,28,56,8,7,
7,21,42,42,7,7,28,8,21,8,7,7,7,7,14,8,7,7,1,1],[1,45,20,20,15,15,45,36,60,60,
45,10,36,15,15,10,15,15,10,6,6,1],[1,45,20,20,15,15,45,36,60,60,45,10,36,15,
15,10,15,15,10,6,6,1],[1,15,36,16,35,4,12,54,54,24,24,48,32,15,9,6,6,27,12,12,
18,18,12,108,12,24,24,4,4,16,16,16,1,1,3,3,9,27,27,18,6,6,18,12,12,12,12,12,
12,12,8,8,16,3,9,3,9,3,9,3,6,6,6,6,4,4,4,4,4,12,4,4,4,1,3,3,3,3,3,3,4,4,4,3,1,
1],[1,15,36,16,35,4,12,54,54,24,24,48,32,15,9,6,6,27,12,12,18,18,12,108,12,24,
24,4,16,16,16,16,1,1,3,3,9,27,27,18,6,6,18,12,12,12,12,12,8,16,16,3,9,3,9,3,9,
3,6,6,6,6,1,4,4,4,1,3,3,3,3,3,3,3,2,4,3,1,1,1,1],[1,15,36,16,35,12,36,54,54,8,
24,48,32,15,9,2,2,27,36,36,6,6,12,108,12,24,24,4,16,8,16,16,1,3,9,9,27,27,27,
6,6,6,6,12,12,12,12,12,8,8,8,8,8,16,9,9,1,3,3,27,3,6,6,6,6,4,4,4,8,8,3,1,3,3,
3,3,3,1,4,3,1,1,1,1],[1,15,36,64,35,4,12,54,54,24,24,64,15,9,6,6,27,12,12,18,
18,12,108,12,24,24,16,64,16,48,1,1,3,3,9,27,27,18,6,6,18,12,12,12,12,16,32,16,
16,3,9,3,9,3,9,3,6,6,6,6,4,4,12,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,15,36,16,35,4,
12,54,54,24,24,48,32,15,9,6,6,27,12,12,18,18,12,108,12,24,24,4,16,16,16,16,1,
1,3,3,9,27,27,18,6,6,18,12,12,12,12,12,8,16,16,3,9,3,9,3,9,3,6,6,6,6,1,4,4,4,
1,3,3,3,3,3,3,3,2,4,3,1,1,1,1],[1,15,12,80,32,35,4,12,18,18,48,96,15,3,9,12,
12,36,64,20,8,4,80,32,16,16,16,48,1,1,3,3,9,9,9,12,12,12,24,3,3,9,16,32,5,1,4,
4,8,4,12,12,1,3,3,4,4,1,1,1,1,1],[1,15,36,32,8,35,54,54,72,24,48,96,15,9,27,
36,108,36,16,8,2,32,8,24,24,1,27,27,18,18,16,6,24,12,48,24,9,9,9,8,16,2,2,6,6,
9,8,6,6,1,1,1],[1,15,60,160,35,20,60,90,90,96,160,15,15,45,60,60,180,96,40,
160,80,240,1,5,15,15,45,45,45,40,80,15,15,45,10,20,60,16,16,32,5,6,10,6,5,1],[
1,15,60,40,35,90,90,40,96,120,80,15,15,10,10,45,30,30,180,96,10,40,40,40,40,1,
45,45,30,30,30,40,40,20,40,15,5,15,10,10,10,16,5,6,5,10,6,5,1],[1,15,84,80,32,
35,4,12,126,126,72,72,48,96,192,288,15,21,18,18,63,12,12,54,54,36,252,36,72,
72,64,20,8,4,80,32,16,16,16,48,48,96,96,48,1,1,3,3,9,63,63,54,18,18,54,36,36,
36,36,64,12,12,12,24,72,48,24,48,144,48,48,48,96,3,21,9,27,9,9,9,18,18,18,18,
16,32,5,1,4,4,8,4,12,12,24,12,12,12,12,24,12,12,1,9,9,9,9,9,9,16,32,3,3,18,6,
12,24,12,12,12,12,9,4,4,1,1,1,1,3,3,3,3,4,4,3,3,3,3,1,1],[1,7,84,112,7,28,84,
126,42,56,168,112,224,64,1,21,14,14,21,84,42,42,84,84,168,168,28,112,56,112,7,
21,21,42,42,42,84,84,64,28,56,56,56,56,56,112,7,7,21,42,42,7,28,56,8,21,7,7,
14,8,16,7,7,1],[1,15,100,160,35,20,60,150,150,120,120,96,160,320,15,25,30,30,
75,60,60,90,90,60,300,60,120,120,96,40,160,80,160,240,1,5,15,15,45,75,75,90,
30,30,90,60,60,60,60,96,40,80,160,80,80,15,25,15,45,15,45,15,30,30,30,30,10,
20,60,40,16,16,32,5,15,15,15,15,15,15,6,10,20,20,20,16,16,15,6,5,10,6,5,1,1],[
1,105,35,140,35,105,315,126,105,420,210,120,315,70,126,35,35,35,35,105,105,
105,70,126,120,105,105,105,105,105,35,70,21,42,35,21,15,15,7,1],[1,15,84,112,
35,28,84,126,126,56,168,336,224,64,15,21,14,14,63,84,84,42,42,84,252,84,168,
168,28,112,112,56,112,112,64,1,7,21,21,63,63,63,42,42,42,42,84,84,84,84,64,84,
56,56,56,56,56,112,112,21,21,7,21,21,63,21,42,42,42,42,64,7,28,28,28,56,56,8,
7,7,21,21,21,21,21,21,7,14,28,8,21,8,16,7,7,7,7,7,7,8,7,7,1,1],[1,15,84,112,
35,28,84,126,126,56,168,336,224,64,15,21,14,14,63,84,84,42,42,84,252,84,168,
168,28,28,112,56,112,112,64,1,7,21,21,63,63,63,42,42,42,42,84,84,84,84,64,84,
84,84,56,56,56,56,56,56,112,21,21,7,21,21,63,21,42,42,42,42,64,28,28,28,28,28,
84,28,28,28,56,56,8,7,7,21,21,21,21,21,7,28,28,28,8,21,8,8,7,7,7,7,8,8,8,7,7,
1],[1,15,180,320,80,35,60,180,270,270,120,360,576,240,480,960,15,45,30,30,135,
180,180,90,90,180,540,180,360,360,160,576,80,20,320,80,240,120,720,240,240,1,
15,45,45,135,135,135,90,90,90,90,180,180,180,180,160,60,120,120,120,120,240,
120,480,240,240,240,45,45,15,45,45,135,45,90,90,90,90,80,160,20,20,60,60,180,
60,120,120,96,96,96,192,15,15,45,45,45,45,45,80,36,15,60,60,60,60,45,10,36,15,
15,15,15,10,16,16,15,15,10,6,6,1],[1,15,420,560,560,35,140,420,630,630,840,
2520,2016,1680,1680,3360,3360,960,15,105,210,210,315,420,420,630,630,1260,
1260,1260,2520,2520,1120,2016,140,140,140,560,560,560,560,560,840,1680,1680,
1680,1680,1680,960,1,35,105,105,315,315,315,630,630,630,630,1260,1260,1260,
1260,1120,2016,960,420,420,420,420,840,840,840,840,840,840,840,1680,1680,1680,
1680,1680,1680,105,105,105,315,315,315,315,630,630,630,630,560,560,1120,960,
35,35,140,140,140,140,420,420,420,420,420,420,420,420,420,420,840,840,120,336,
336,672,672,35,105,315,315,315,315,315,560,560,126,105,105,105,210,210,420,
420,420,420,420,420,120,336,336,315,70,140,126,120,120,240,35,35,35,35,105,
105,105,105,105,105,105,70,140,126,120,120,120,112,112,105,105,105,105,105,35,
70,21,42,35,15,21,16,15,15,7,1]],
[1,2,2,3,3,4,4,4,4,4,4,4,5,6,6,6,6,7,8,8,8,8,8,8,8,8,8,8,8,8,8,8,9,10,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,14,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,18,20,21,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,32,32,32,32,
32,32,32,32,32,32,32,36,36,36,42,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,
48,48,48,56,60,60,60,60,64,64,64,64,64,64,64,72,72,80,96,96,96,96,96,96,96,96,
96,96,96,112,120,120,128,144,144,160,168,168,168,192,192,192,192,192,192,192,
192,192,192,192,288,288,320,336,336,336,360,360,384,384,384,384,384,576,576,
960,960,1152,1344,1920,2520,2688,2688,5760,40320],
[189,187,142,130,131,182,166,140,127,128,116,63,66,79,84,46,44,99,186,177,162,
159,147,138,141,127,128,94,87,92,63,63,98,66,166,165,166,131,131,130,130,130,
116,79,82,84,84,79,99,189,182,173,176,147,147,147,127,128,127,128,92,92,94,94,
98,66,99,138,142,141,139,116,116,116,117,110,108,114,79,80,81,82,83,84,174,
177,175,147,147,147,147,128,127,127,128,130,131,98,99,182,182,166,166,165,166,
142,138,139,143,142,141,141,139,138,141,116,117,168,145,146,121,122,182,175,
147,147,147,147,147,130,131,167,177,174,175,160,163,138,139,140,141,142,143,
168,145,146,147,179,166,167,170,168,153,182,182,182,182,175,175,177,174,175,
174,177,179,166,167,168,169,170,171,172,173,174,175,176,177,182,179,184,181,
182,186,184,185,186,187,188,189],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,5,4,1,1,1,1,2,1,1,2,1,2,1,2,1,3,3,1,13,6,6,7,6,
1,1,7,7,11,4,8,5,5,4,1,1,1,2,1,2,2,2,2,2,2,2,10,10,3,3,33,13,18,7,6,25,6,11,
43,43,22,35,36,37,14,38,41,45,42,15,6,6,2,6,6,6,6,10,9,9,10,7,6,33,18,50,51,7,
6,6,51,35,37,36,53,35,70,25,36,37,70,43,75,19,119,120,121,122,6,19,23,20,20,
23,19,96,97,50,50,51,87,100,101,68,71,105,70,69,109,19,119,120,55,50,51,132,
151,118,153,51,123,123,50,87,135,100,101,135,101,100,148,149,132,118,169,151,
171,172,156,134,135,155,133,123,148,180,181,178,183,180,185,183,187,188,189],
[( 2, 4)( 7,20)( 8,21)( 9,22)(10,19)(12,18)(13,15)(17,24),( 3,18,16,24,14)
( 4,13, 8,23,22)( 5, 6,20,19,11)( 7,15,21, 9,10)],
[[[[]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1,2,1,1,1]]],[[[1,1]]],[[[2,
1,1,1],[3,2,2,-1,1,1]]],[[[1,1,2,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,
3,3,1,1,4,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,
2]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,2,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[
4,1,3,2,2,1,3,1,4,-1,2,-1,4,-1]]],[[[1,1,2,1],[3,1,2,1,3,1,1,1,2,-2,3,1]],[[2,
1,1,1],[3,1,2,-2,1,1,2,2,3,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1,2,
1,1,1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,2,2,1,1,1,2,-1,3,-2,4,-1]]],[[[1,1,2,1],[
2,1,1,1],[3,2,4,2,2,1,3,2]]],[[[2,1,1,1],[3,1,2,2,3,-1,2,-1,1,1,2,-1]],[[1,1,
2,-2,1,1,2,2,1,1]]],[[[1,1,2,1],[2,1,3,1,1,1,2,-2,3,1]]],[[[2,1]]],[[[1,1,2,1,
1,1,2,-2]]],[[[2,1,1,1,2,1],[3,2,2,1,1,1]]],[[[1,1,2,1],[3,2,2,1,3,1,1,1,2,
-2]],[[1,1,2,-2,1,1,2,2,1,1]]],[[[1,1,2,1],[3,2,2,1,3,1,1,1,2,-2]],[[1,1,2,
1],[3,1,2,1,1,1,3,-2,2,-1]]],[[[1,1,2,1],[3,-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,
2,-1],[4,1,3,-2,2,-1,5,2,4,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,
1,4,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1,2,1,1,1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,
-1,2,-2,4,-1,3,1,4,2]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,
2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,3,1,2,1,3,1,4,-1]],[[2,2],[3,1,2,1,
1,1,3,1]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[5,1,3,-2,2,-1,4,-3,3,-1,5,-1]],[[1,1,2,1],[2,1,1,1,3,2,2,2,1,1,2,2,3,1,2,
1,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1,4,-1,5,3,3,1,4,1]],[[1,1,2,
1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,
1,4,2,2,-1,3,-2]],[[1,1,2,1],[1,1,2,-1,3,-1,2,-1,3,-1,2,2,3,1,2,1,1,1]],[[1,1,
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3,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,2,2,1,3,1,4,-1,2,-1,4,-1]],[[2,1,1,1],[1,
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1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,-1,1,1,2,-1,3,1,2,1]],[[2,1,1,1],[
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1],[1,1,2,-1],[4,1,3,-1,2,-2,1,1,2,-1,4,1,3,1,2,1,3,1]]],[[[1,1,2,1],[2,1,3,
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1],[3,1,2,2,3,-1,2,-1,1,1,2,-1]],[[1,1,2,1],[3,2,1,1,2,-2,3,1]]],[[[1,1,2,1],[
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1,1,2,-1,4,-1]],[[1,1,2,-2,1,1,2,2,1,1]]],[[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,
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1]],[[1,1,2,1],[1,1,2,-1,3,1,2,1,1,1,3,-1,2,-1]]],[[[1,1,2,-2,1,1,2,2,1,1]],[[
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1],[3,2,2,1,1,1,2,-1,3,-2]]],[[[1,1,2,1],[1,1,2,-1],[4,1,2,-1,3,1,1,1,2,-1,4,
2,3,1]],[[1,1,2,1],[2,1,1,1],[3,2,4,2,2,1,3,2]],[[1,1,2,1],[3,1,1,1,2,1,1,1,3,
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1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,2,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,
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1],[5,1,3,1,4,2,3,1,5,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,
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3,1]],[[1,1,2,1],[2,2,3,1,2,1,3,2]]],[[[1,1,2,1],[3,1,2,1,3,1,1,1,2,-2,3,
1]],[[1,1,2,1],[3,2,2,1,3,1,1,1,2,-2]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,
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1,1,2,2]]],[[[1,1,2,1],[2,2,3,3,2,1]],[[1,1,2,-2],[3,2,1,1,2,1]]],[[[1,1,2,
1],[3,1,2,1,3,3,2,1,1,1]],[[1,1,2,1],[2,1,3,4,2,1]]],[[[1,1,2,1],[2,1,1,1,3,
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1],[2,1,3,1],[3,1,5,1,4,2,5,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1]],[[1,
1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,-3,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,
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3,3,-2,2,-1]]],[[[1,1,2,1],[2,-2,1,1,3,-1,2,-1,3,-1]],[[1,1,2,-1,1,1,2,1,1,
1]]],[[[1,1,2,1],[3,1,2,1,3,1,1,1,2,-2,3,1]],[[1,1,2,1],[3,1,2,1,1,1,3,-2,2,
-1]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,
-1,3,1,4,2]],[[1,1,2,1],[2,1,3,2,2,1,1,1,3,-2]]],[[[1,1,2,1],[1,1,2,-2,3,2,2,
1,3,1]],[[1,1,2,1],[1,1,2,-1,3,2]],[[1,1,2,1],[3,1,2,1,1,1,3,-2,2,-1]]],[[[1,
1,2,1],[2,1,1,1],[2,2,3,1,4,2,3,-1]],[[1,1,2,1],[1,1,2,-2,3,3]]],[[[1,1,2,1],[
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1,3,2]],[[1,1,2,1],[3,1,2,1,3,1],[1,1,2,-1,4,2,1,1,2,-1]]],[[[1,1,2,1],[3,2,2,
1,3,1,1,1,2,-2]],[[1,1,2,1],[2,-2,3,2]],[[1,1,2,1],[3,1,1,1,2,1,1,1,3,
-2]]],[[[1,1,2,1],[2,-2,1,1,2,1,3,2]],[[1,1,2,1],[2,1,3,2,1,1,2,-2]]],[[[1,1,
2,1],[1,1,3,-1,2,1,1,1,2,1,3,2]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1]],[[2,2],[
3,1,2,1,1,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,2,2,1,4,-1,3,-1,2,-1,3,-1]],[[
1,1,2,1],[3,2,2,1],[2,1,1,1,4,-2]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,-3,2,-1]],[[
1,1,2,1],[3,2,2,1,3,1,1,1,2,1,1,1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,-1,2,-1,
3,-1,2,1,1,1]],[[1,1,2,1],[2,2,3,2,2,1]]],[[[1,1,2,1],[1,1,2,-2,3,1,2,1,3,
1]],[[2,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,2,3,-1,2,-1,3,-2]],[[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,-2,3,-1,2,-1]],[[1,1,2,
1],[2,1,1,1],[3,1,2,1,3,1,4,-2,3,-1]],[[1,1,2,1],[1,1,2,-2,3,2,2,1,3,1]]],[[[
1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,1,4,2]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-2,
2,-1]]],[[[1,1,2,1],[2,1,3,1],[4,1,3,1,4,1,1,1,2,-1]],[[2,1,1,1],[1,1,2,-1,3,
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-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,-1,2,-1]],[[1,1,2,1],[2,
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29,30,71,72,74,79,94,96,213],[1,3,4,5,13,14,15,17,19,20,21,26,28,29,30,73,75,
77,78,79,93,94,96,214],[1,3,4,5,13,14,15,18,19,20,21,25,26,28,29,30,72,75,76,
78,79,92,94,95,96,215],[1,2,3,4,5,9,12,13,14,16,18,19,20,27,29,30,57,60,72,74,
76,83,97,216],[1,2,3,4,5,9,10,12,13,14,16,19,20,21,27,28,30,58,60,71,73,78,83,
98,217],[1,2,3,4,5,9,10,12,15,17,19,20,21,27,28,29,30,58,62,75,77,79,84,97,98,
218],[1,2,3,4,5,9,12,13,14,15,16,18,19,20,21,27,28,29,30,60,65,71,74,75,76,78,
79,85,97,99,219],[1,2,3,4,5,10,12,13,14,15,17,18,19,20,21,27,28,29,30,62,65,
72,73,76,77,78,79,85,98,99,220],[1,2,3,4,8,9,10,11,12,47,80,81,82,221],[1,2,3,
5,9,13,14,27,31,83,86,87,89,222],[1,2,3,4,5,8,9,10,12,13,14,15,27,80,83,84,85,
88,223],[1,2,5,8,25,26,27,88,90,224],[1,2,3,4,5,8,9,10,12,27,28,29,30,80,88,
97,98,99,225],[1,2,3,4,5,10,12,13,14,15,25,26,27,28,29,30,84,85,90,93,94,95,
96,98,99,226],[1,2,3,4,5,9,12,13,14,15,25,26,27,28,29,30,83,85,90,91,92,94,95,
96,97,99,227],[1,2,8,32,47,147,228],[1,2,3,4,8,9,10,12,33,80,143,144,145,
229],[1,2,4,8,10,11,33,81,143,146,230],[1,2,3,5,9,13,14,27,33,83,144,156,
231],[1,2,3,9,18,32,57,133,232],[1,2,3,4,9,10,21,32,58,133,135,233],[1,2,4,10,
22,32,59,134,135,234],[1,2,3,4,9,10,21,35,58,136,153,235],[1,2,3,4,9,12,16,19,
20,35,60,136,149,151,236],[1,2,3,4,9,12,16,19,20,34,60,137,148,150,237],[1,2,
3,9,18,34,57,137,152,238],[1,2,3,4,9,12,16,19,20,34,35,60,136,137,154,239],[1,
2,3,4,9,10,21,36,58,138,155,240],[1,2,3,4,9,12,16,19,20,34,35,60,140,148,149,
154,241],[1,2,3,4,10,12,17,19,20,34,35,62,140,150,151,154,242],[1,2,4,8,10,11,
32,81,135,147,243],[1,2,3,4,8,9,10,12,32,80,133,134,147,244],[1,2,3,5,9,13,14,
27,35,83,136,142,245],[1,2,3,5,9,13,14,27,34,83,137,141,246],[1,2,3,4,9,12,16,
19,20,32,33,60,133,144,160,247],[1,2,3,4,10,12,17,19,20,32,33,62,134,145,160,
248],[1,2,3,4,8,9,10,12,34,35,80,136,137,140,249],[1,2,4,8,10,11,36,81,138,
139,250],[1,2,3,4,8,9,10,12,32,33,80,143,147,160,251],[1,2,3,5,9,13,14,27,37,
83,157,158,159,252],[1,2,3,9,32,133,165,253],[1,2,4,10,32,134,135,165,254],[1,
2,3,9,35,136,164,255],[1,2,3,9,34,137,163,256],[1,2,3,9,33,144,162,257],[1,2,
8,32,147,165,258],[1,2,8,33,143,161,259],[1,2,8,33,143,260],[1,2,3,9,33,35,
136,144,261],[1,2,3,9,33,34,137,144,262],[1,2,3,9,33,34,35,136,137,144,263],[
1,2,3,9,32,33,35,133,136,144,264],[1,2,3,9,32,33,34,133,137,144,265],[1,2,4,
10,32,33,36,135,138,145,266],[1,2,8,32,33,143,147,267],[1,2,8,32,33,143,147,
268],[1,2,8,32,33,143,147,269],[1,2,3,9,32,34,35,133,136,137,270],[1,2,3,9,32,
34,35,133,136,137,271],[1,2,4,10,32,36,134,138,272],[1,2,4,10,32,36,134,138,
273],[1,2,3,9,34,35,136,137,274],[1,2,3,9,34,35,136,137,275],[1,2,3,4,8,9,10,
12,35,80,136,276],[1,2,3,4,8,9,10,12,34,80,137,277],[1,2,4,8,10,11,36,81,138,
278],[1,2,3,4,8,9,10,12,36,80,138,279],[1,2,3,4,8,9,10,12,34,35,80,136,137,
280],[1,2,4,8,10,11,32,81,147,281],[1,2,3,4,8,9,10,12,32,80,147,282],[1,2,3,5,
9,13,14,27,32,35,83,133,136,283],[1,2,3,5,9,13,14,27,32,34,83,133,137,284],[1,
2,4,5,10,15,27,32,36,84,135,138,285],[1,2,3,5,9,13,14,27,34,35,83,136,137,
286],[1,2,3,4,9,10,21,33,34,58,137,144,287],[1,2,3,4,9,12,16,19,20,33,34,60,
137,144,288],[1,2,3,4,9,12,16,19,20,33,35,60,136,144,289],[1,2,3,4,9,11,23,33,
35,63,136,144,290],[1,2,3,4,9,11,23,33,34,63,137,144,291],[1,2,3,9,18,33,35,
57,136,144,292],[1,2,4,10,22,33,36,59,138,145,293],[1,2,3,4,11,12,19,23,24,33,
36,68,139,146,294],[1,2,4,11,17,24,33,36,67,139,146,295],[1,3,5,14,16,18,29,
37,74,159,296],[1,3,4,5,14,18,20,30,37,72,159,297],[1,3,4,5,13,16,21,30,37,71,
158,298],[1,3,4,5,13,20,21,28,37,73,158,299],[1,3,5,14,25,29,34,37,92,141,159,
300],[1,3,4,5,14,15,26,28,30,34,37,94,141,159,301],[1,3,5,13,26,29,35,37,91,
142,158,302],[1,3,4,5,13,15,25,28,30,35,37,95,142,158,303],[1,2,5,8,27,32,88,
147,304],[1,2,4,8,10,11,32,33,81,143,147,305],[1,2,3,4,8,9,10,12,32,33,80,143,
147,306],[1,2,4,5,10,15,27,37,84,157,307],[1,2,3,4,5,12,27,28,29,30,33,37,99,
156,157,308],[1,2,3,9,18,35,57,136,309],[1,2,3,4,9,10,21,34,58,137,310],[1,2,
3,4,9,11,23,34,63,137,311],[1,2,3,4,9,11,23,35,63,136,312],[1,2,3,4,9,11,23,
34,35,63,136,137,313],[1,2,3,4,9,10,21,36,58,138,314],[1,2,3,4,9,11,23,36,63,
139,315],[1,2,4,10,11,24,36,61,139,316],[1,2,3,4,9,12,16,19,20,32,34,60,133,
137,317],[1,2,3,4,9,12,16,19,20,32,35,60,133,136,318],[1,2,3,4,9,11,23,32,34,
63,133,137,319],[1,2,3,4,9,11,23,32,35,63,133,136,320],[1,2,4,10,11,24,32,36,
61,135,138,321],[1,2,3,4,10,12,17,19,20,32,36,62,135,138,322],[1,3,4,5,13,16,
21,30,34,71,148,323],[1,3,4,5,13,16,21,30,35,71,149,324],[1,3,5,14,16,18,29,
34,74,148,325],[1,3,5,14,16,18,29,35,74,149,326],[1,3,4,5,13,20,21,28,36,73,
155,327],[1,3,4,5,13,16,21,30,34,35,71,148,149,328],[1,3,4,5,13,16,21,30,36,
71,155,329],[1,3,5,14,16,18,29,34,74,152,330],[1,3,5,14,16,18,29,34,35,74,148,
149,331],[1,3,4,5,14,18,20,30,34,72,152,332],[1,3,4,5,15,17,21,28,30,35,36,77,
153,155,333],[1,3,4,5,15,19,21,29,30,35,36,75,153,155,334],[1,2,8,33,47,143,
335],[1,2,3,4,8,9,10,12,33,80,143,336],[1,2,5,8,27,32,33,88,143,147,337],[1,2,
5,8,27,33,88,143,338],[1,2,5,8,27,37,88,157,339],[1,2,5,25,26,27,33,37,90,156,
157,340],[1,2,3,4,9,10,18,21,32,57,58,103,133,341],[1,2,4,10,22,32,59,104,134,
342],[1,2,3,4,9,10,21,22,32,58,59,103,104,135,343],[1,2,3,4,9,10,12,16,19,20,
21,35,58,60,114,117,136,344],[1,2,3,4,9,11,18,23,35,57,63,121,136,345],[1,2,3,
4,9,12,16,18,19,20,34,57,60,115,116,137,346],[1,2,3,4,9,10,11,21,23,34,58,63,
118,137,347],[1,2,4,10,11,22,24,36,59,61,122,138,348],[1,2,3,4,10,12,17,19,20,
22,36,59,62,119,120,138,349],[1,2,3,4,11,12,18,20,21,23,24,34,35,65,70,114,
115,118,121,140,350],[1,2,3,4,11,12,19,22,23,24,36,64,68,119,122,139,351],[1,
2,3,4,12,16,18,21,23,34,35,65,66,116,117,118,121,140,352],[1,2,4,11,17,22,24,
36,64,67,120,122,139,353],[1,3,4,5,14,16,18,20,23,29,34,50,74,106,115,148,
354],[1,3,5,14,16,18,29,34,48,74,108,116,148,355],[1,3,4,5,13,16,21,30,35,48,
71,107,117,149,356],[1,3,4,5,13,16,20,21,23,30,35,50,71,105,114,149,357],[1,3,
4,5,13,16,21,22,30,35,53,71,111,117,153,358],[1,3,4,5,13,20,21,22,28,35,53,73,
111,114,153,359],[1,3,4,5,13,20,21,23,24,28,34,54,73,110,118,150,360],[1,3,4,
5,14,18,20,23,24,30,35,54,72,109,121,151,361],[1,3,4,5,13,16,20,21,23,28,35,
50,73,105,107,114,117,151,362],[1,3,4,5,13,16,20,21,23,30,34,50,71,110,118,
148,363],[1,3,4,5,14,16,18,20,23,29,35,50,74,109,121,149,364],[1,3,4,5,14,16,
18,20,23,30,34,50,72,106,108,115,116,150,365],[1,3,4,5,14,18,20,30,34,49,72,
112,115,152,366],[1,3,5,14,16,18,29,34,49,74,112,116,152,367],[1,3,4,5,13,16,
18,19,23,29,30,34,35,52,76,107,110,116,121,154,368],[1,3,4,5,14,19,20,21,23,
24,28,30,34,35,56,78,106,109,114,118,154,369],[1,3,4,5,13,18,19,20,23,24,29,
30,34,35,56,76,105,110,115,121,154,370],[1,3,4,5,14,16,19,21,23,28,30,34,35,
52,78,108,109,117,118,154,371],[1,3,4,5,15,17,21,22,28,30,36,53,77,113,120,
155,372],[1,3,4,5,15,19,21,22,29,30,36,53,75,113,119,155,373],[1,2,4,8,10,11,
32,47,81,101,147,374],[1,2,3,4,8,9,10,12,32,47,80,100,101,147,375],[1,2,3,5,9,
13,14,27,33,83,123,144,376],[1,2,4,5,8,10,11,27,33,81,88,102,143,377],[1,2,4,
5,8,10,11,15,27,33,81,84,102,124,145,378],[1,2,3,4,5,8,9,10,12,13,14,27,33,80,
83,102,124,144,379],[1,2,4,5,10,15,27,31,33,84,89,102,123,156,380],[1,2,3,4,9,
10,11,21,23,33,58,63,126,144,381],[1,2,3,4,9,11,18,23,33,57,63,127,144,382],[
1,2,3,4,9,10,11,21,24,33,58,61,126,127,145,383],[1,2,4,10,11,22,24,33,61,64,
125,126,146,384],[1,2,3,4,9,11,22,23,33,63,64,125,127,146,385],[1,2,3,4,8,9,
10,11,12,32,80,81,103,104,147,386],[1,2,3,4,8,9,10,12,21,32,58,80,101,104,133,
387],[1,2,3,4,8,9,10,12,18,32,57,80,100,103,133,388],[1,2,3,4,8,9,10,12,22,32,
59,80,101,103,135,389],[1,2,4,8,10,11,22,32,59,81,101,104,135,390],[1,2,3,4,8,
9,10,11,21,32,58,81,100,101,103,104,134,391],[1,2,3,4,5,9,11,13,14,23,27,34,
63,83,110,137,392],[1,2,3,4,5,9,11,13,14,23,27,35,63,83,109,136,393],[1,2,3,4,
5,9,12,13,14,16,19,20,27,34,60,83,106,108,137,394],[1,2,3,4,5,9,12,13,14,16,
19,20,27,35,60,83,105,107,136,395],[1,2,3,4,5,9,10,13,14,21,27,35,58,83,111,
136,396],[1,2,3,5,9,13,14,18,27,34,57,83,112,137,397],[1,2,4,5,10,15,22,27,36,
59,84,113,138,398],[1,2,3,4,5,11,12,13,14,15,20,23,24,27,34,35,70,85,105,106,
109,110,140,399],[1,2,3,4,5,12,13,14,15,16,23,27,34,35,66,85,107,108,109,110,
140,400],[1,2,3,4,5,9,11,13,14,23,27,32,63,83,128,133,401],[1,2,4,5,10,11,15,
24,27,32,61,84,128,134,402],[1,3,4,5,13,20,21,28,31,35,73,87,105,111,142,
403],[1,3,4,5,13,16,21,30,31,35,71,87,107,111,142,404],[1,3,4,5,14,18,20,30,
31,34,72,86,106,112,141,405],[1,3,5,14,16,18,29,31,34,74,86,108,112,141,406],[
1,2,3,4,5,9,10,11,12,23,24,27,29,30,32,33,69,97,102,103,127,128,160,407],[1,2,
3,4,5,10,11,12,23,24,27,28,30,32,33,69,98,102,104,126,128,160,408],[1,2,5,8,
27,33,47,88,124,143,409],[1,2,4,8,10,11,33,81,125,143,410],[1,2,3,4,8,9,10,11,
12,33,80,81,126,127,143,411],[1,2,4,5,8,10,11,27,32,81,88,128,147,412],[1,2,3,
4,5,8,9,11,12,27,29,30,32,33,82,97,100,124,127,128,160,413],[1,2,3,4,5,8,10,
11,12,27,28,30,32,33,82,98,101,124,126,128,160,414],[1,3,5,13,26,29,31,37,87,
91,129,132,158,415],[1,3,5,14,25,29,31,37,86,92,129,131,159,416],[1,3,4,5,14,
15,26,28,30,31,37,86,94,130,132,159,417],[1,3,4,5,13,15,25,28,30,31,37,87,95,
130,131,158,418],[1,2,3,4,5,12,27,28,29,30,31,37,89,99,129,130,157,419],[1,2,
5,8,27,31,33,88,89,123,124,156,420],[1,2,5,25,26,27,31,37,89,90,131,132,157,
421],[1,2,4,10,32,104,135,165,422],[1,2,3,4,9,10,32,103,104,133,134,135,165,
423],[1,3,4,5,13,16,21,35,107,111,117,142,149,153,164,424],[1,3,4,5,13,20,21,
35,105,111,114,142,151,153,164,425],[1,3,5,14,16,18,34,108,112,116,141,148,
152,163,426],[1,3,4,5,14,18,20,34,106,112,115,141,150,152,163,427],[1,2,3,4,8,
9,10,32,100,101,103,133,135,147,165,428],[1,2,4,8,10,32,101,104,134,135,147,
165,429],[1,2,4,10,11,33,125,126,145,146,161,430],[1,2,3,4,9,11,33,125,127,
144,146,161,431],[1,2,4,5,10,27,33,102,123,145,156,162,432],[1,2,5,8,27,33,
123,124,143,156,162,433],[1,2,8,33,143,166,434],[1,2,3,9,33,144,166,435],[1,2,
4,10,33,145,166,436],[1,2,4,5,11,27,33,123,125,166,437],[1,2,4,11,33,125,162,
166,438],[1,2,5,27,33,123,161,166,439],[1,2,33,161,162,166,440],[1,5,6,7,41,
42,167,441],[1,5,6,7,41,44,167,442],[1,3,6,7,39,45,167,443],[1,5,37,38,168,
444],[1,7,46,445],[1,2,3,7,8,9,32,39,100,169,446],[1,2,4,7,8,10,32,40,101,169,
447],[1,4,5,7,28,31,37,40,130,179,448],[1,3,5,7,29,31,37,39,129,179,449],[1,3,
4,7,18,20,34,40,115,176,450],[1,4,7,17,22,36,40,120,175,451],[1,3,7,16,18,34,
39,116,176,452],[1,3,4,7,19,22,36,39,119,175,453],[1,3,4,7,16,21,35,40,117,
178,454],[1,3,7,16,18,34,39,116,178,455],[1,4,7,22,24,36,40,122,175,456],[1,3,
4,7,18,23,35,40,121,176,457],[1,4,7,17,22,36,40,120,177,458],[1,3,5,7,13,16,
35,42,107,178,459],[1,3,5,7,14,16,34,42,108,178,460],[1,4,5,7,15,22,36,42,113,
175,461],[1,3,5,7,14,18,34,42,112,176,462],[1,5,7,26,31,37,42,132,179,463],[1,
5,7,25,31,37,42,131,179,464],[1,2,5,7,8,27,33,42,124,169,465],[1,2,5,6,8,27,
33,41,124,172,466],[1,5,7,25,31,37,42,131,170,467],[1,5,7,25,31,37,42,131,171,
468],[1,5,6,26,31,37,41,132,174,469],[1,5,6,25,31,37,41,131,173,470],[1,2,7,8,
43,47,169,471],[1,2,3,7,9,18,43,57,176,472],[1,2,4,7,10,22,43,59,175,473],[1,
2,3,4,7,12,18,21,43,65,176,474],[1,2,4,7,11,17,24,43,67,177,475],[1,2,4,7,11,
22,43,64,175,476],[1,2,3,4,7,12,16,23,43,66,178,477],[1,3,5,6,14,25,29,44,92,
173,478],[1,3,5,6,13,26,29,44,91,174,479],[1,4,5,6,15,26,28,44,93,174,480],[1,
2,3,4,7,8,11,12,45,82,169,481],[1,3,5,7,13,31,45,87,179,482],[1,3,5,7,14,31,
45,86,179,483],[1,3,4,7,21,22,45,53,175,484],[1,3,7,18,45,49,176,485],[1,3,7,
16,45,48,178,486],[1,3,4,7,16,19,23,45,52,178,487],[1,3,4,7,17,23,24,45,55,
177,488],[1,2,5,7,27,31,43,89,179,489],[1,2,5,7,25,26,27,43,90,170,490],[1,2,
5,6,8,27,44,88,172,491],[1,2,3,4,7,8,11,12,39,40,43,82,180,183,184,492],[1,2,
3,4,5,7,9,12,27,29,30,39,40,42,43,45,97,182,184,185,186,187,493],[1,2,7,33,43,
162,494],[1,2,7,32,43,165,495],[1,2,7,33,43,161,496],[1,3,7,34,45,163,497],[1,
3,7,35,45,164,498],[1,2,4,5,7,11,27,32,40,42,43,128,183,187,191,499],[1,2,3,4,
7,9,11,33,40,43,45,127,182,183,189,500],[1,2,5,7,8,27,33,42,43,124,180,187,
189,501],[1,5,6,25,31,37,41,44,131,181,188,190,502],[1,2,3,7,8,9,32,43,45,100,
180,182,191,503],[1,2,3,4,7,12,32,33,39,40,43,160,184,189,191,504],[1,5,6,38,
44,168,193,505],[1,2,3,4,8,9,10,12,18,21,32,49,57,58,65,80,100,103,133,195,
203,232,341,388,506],[1,2,3,4,8,9,10,12,18,21,22,32,53,57,58,59,65,80,101,103,
104,133,135,196,203,233,341,343,387,389,507],[1,2,3,4,8,9,10,11,21,22,32,53,
58,59,64,81,100,101,103,104,134,135,196,204,234,342,343,390,391,508],[1,2,3,4,
5,9,10,12,13,14,16,19,20,21,23,27,28,30,35,48,50,52,58,60,66,71,73,78,83,98,
105,107,114,117,136,149,151,197,217,236,344,356,357,362,395,509],[1,2,3,4,5,9,
10,11,12,13,14,16,19,20,21,23,24,27,28,30,34,50,54,56,58,60,63,70,71,73,78,83,
98,110,118,137,148,150,199,217,237,347,360,363,392,510],[1,2,3,4,5,9,12,13,14,
16,18,19,20,27,29,30,34,49,57,60,72,74,76,83,97,112,115,116,137,152,195,216,
238,346,366,367,397,511],[1,2,3,4,5,9,10,12,13,14,16,19,20,21,22,27,28,30,35,
53,58,59,60,71,73,78,83,98,111,114,117,136,153,196,217,235,344,358,359,396,
512],[1,2,3,4,5,9,12,13,14,16,18,19,20,23,27,29,30,34,48,50,52,57,60,66,72,74,
76,83,97,106,108,115,116,137,148,150,197,216,237,346,354,355,365,394,513],[1,
2,3,4,5,9,11,12,13,14,16,18,19,20,23,24,27,29,30,35,50,54,56,57,60,63,70,72,
74,76,83,97,109,121,136,149,151,199,216,236,345,361,364,393,514],[1,2,3,4,5,9,
10,11,12,13,14,16,19,20,21,23,24,27,28,30,34,35,52,56,58,60,63,68,71,73,78,83,
98,106,108,109,114,117,118,136,137,154,200,217,239,344,347,369,371,393,394,
515],[1,2,3,4,5,9,11,12,13,14,16,18,19,20,23,24,27,29,30,34,35,52,56,57,60,63,
68,72,74,76,83,97,105,107,110,115,116,121,136,137,154,200,216,239,345,346,368,
370,392,395,516],[1,2,3,4,5,9,10,12,15,17,19,20,21,22,27,28,29,30,36,53,58,59,
62,75,77,79,84,97,98,113,119,120,138,155,196,218,240,349,372,373,398,517],[1,
2,3,4,5,9,12,13,14,15,16,18,19,20,21,23,27,28,29,30,34,35,48,50,52,60,65,66,
71,74,75,76,78,79,85,97,99,107,108,109,110,116,117,118,121,140,148,149,154,
197,219,241,352,355,356,363,364,368,371,400,518],[1,2,3,4,5,9,11,12,13,14,15,
16,18,19,20,21,23,24,27,28,29,30,34,35,50,54,56,60,63,65,70,71,74,75,76,78,79,
85,97,99,105,106,109,110,114,115,118,121,140,148,149,154,199,219,241,350,354,
357,363,364,369,370,399,519],[1,2,3,4,5,10,11,12,13,14,15,16,17,18,19,20,21,
23,24,27,28,29,30,34,35,50,52,54,55,56,62,65,66,68,69,70,72,73,76,77,78,79,85,
98,99,105,106,107,108,109,110,114,115,116,117,118,121,140,150,151,154,201,220,
242,350,352,360,361,362,365,368,369,370,371,399,400,520],[1,2,3,4,8,9,10,11,
12,16,18,19,20,21,23,24,34,35,57,58,60,63,65,66,68,69,70,80,82,114,115,116,
117,118,121,136,137,140,203,208,249,344,345,346,347,350,352,521],[1,2,3,4,8,
10,11,12,17,19,20,22,23,24,36,59,61,62,64,67,68,69,70,81,82,119,120,122,138,
139,204,207,250,348,349,351,353,522],[1,2,3,4,8,9,10,11,12,32,47,80,81,82,100,
101,147,194,221,228,374,375,523],[1,2,3,4,5,8,9,10,11,12,13,14,15,27,33,47,80,
81,82,83,84,85,88,102,124,143,144,145,221,223,229,377,378,379,409,524],[1,2,3,
4,5,8,9,10,12,13,14,15,27,31,33,80,83,84,85,86,87,88,89,102,123,124,144,156,
222,223,231,376,379,380,420,525],[1,2,3,4,8,9,10,11,12,18,21,23,24,33,57,58,
61,63,65,69,80,81,126,127,143,144,145,203,206,229,381,382,383,411,526],[1,2,3,
4,8,9,10,11,12,22,23,24,33,59,61,63,64,69,80,81,125,126,127,143,146,204,206,
230,384,385,410,411,527],[1,2,3,4,8,9,10,11,12,22,32,47,59,64,80,81,82,101,
103,104,135,147,204,221,243,374,386,389,390,528],[1,2,3,4,8,9,10,11,12,18,21,
32,47,57,58,65,80,81,82,100,101,103,104,133,134,147,203,221,244,375,386,387,
388,391,529],[1,2,3,4,5,8,9,10,11,12,13,14,15,23,24,27,32,61,63,69,80,81,83,
84,85,88,128,133,134,147,206,223,244,401,402,412,530],[1,2,3,4,5,9,10,12,13,
14,16,19,20,21,27,28,30,31,35,58,60,71,73,78,83,86,87,89,98,105,107,111,136,
142,217,222,245,395,396,403,404,531],[1,2,3,4,5,9,12,13,14,16,18,19,20,27,29,
30,31,34,57,60,72,74,76,83,86,87,89,97,106,108,112,137,141,216,222,246,394,
397,405,406,532],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,19,20,23,24,27,34,35,60,
63,66,68,69,70,80,82,83,84,85,88,105,106,107,108,109,110,136,137,140,208,223,
249,392,393,394,395,399,400,533],[1,2,3,4,5,8,9,10,11,12,13,14,16,19,20,21,23,
24,27,28,30,32,33,58,60,63,66,68,69,70,71,73,78,80,82,83,98,101,102,104,124,
126,128,133,144,160,208,217,247,379,381,387,401,408,414,534],[1,2,3,4,5,8,9,
10,11,12,13,14,16,18,19,20,23,24,27,29,30,32,33,57,60,63,66,68,69,70,72,74,76,
80,82,83,97,100,102,103,124,127,128,133,144,160,208,216,247,379,382,388,401,
407,413,535],[1,2,3,4,5,8,9,10,11,12,15,17,19,20,21,23,24,27,28,29,30,32,33,
58,61,62,67,68,69,70,75,77,79,81,82,84,97,98,100,101,102,103,104,124,126,127,
128,134,145,160,207,218,248,378,383,391,402,407,408,413,414,536],[1,2,3,4,5,8,
9,10,11,12,23,24,27,28,29,30,32,33,61,63,69,80,81,88,97,98,99,102,103,104,126,
127,128,143,147,160,206,225,251,377,386,407,408,411,412,537],[1,2,3,4,5,8,9,
10,11,12,27,28,29,30,32,33,47,80,81,82,88,97,98,99,100,101,124,126,127,128,
143,147,160,221,225,251,375,409,411,412,413,414,538],[1,2,3,4,5,9,12,13,14,15,
25,26,27,28,29,30,31,37,83,85,86,87,89,90,91,92,94,95,96,97,99,129,130,131,
132,157,158,159,222,227,252,415,416,417,418,419,421,539],[1,2,3,4,8,9,10,11,
12,16,17,19,20,23,24,47,60,61,62,63,66,67,68,69,70,80,81,82,205,206,207,208,
221,540],[1,2,3,4,5,8,9,10,12,13,14,15,16,17,18,19,20,21,27,28,29,30,57,58,60,
62,65,71,72,73,74,75,76,77,78,79,80,83,84,85,88,97,98,99,203,205,216,217,218,
219,220,223,225,541],[1,2,3,4,5,9,12,13,14,15,16,18,19,20,21,25,26,27,28,29,
30,57,60,65,71,72,74,75,76,78,79,83,85,90,91,92,94,95,96,97,99,209,212,213,
215,216,219,227,542],[1,2,3,4,5,9,10,12,13,14,15,16,17,18,19,20,21,25,26,27,
28,29,30,58,60,62,65,71,72,73,74,75,76,77,78,79,83,84,85,90,91,92,93,94,95,96,
97,98,99,210,211,212,213,214,215,217,218,219,220,226,227,543],[1,2,3,4,8,9,10,
11,12,16,17,19,20,23,24,48,50,52,54,55,56,60,62,63,66,68,69,70,80,82,197,199,
200,201,205,208,544],[1,2,3,4,8,9,10,11,12,16,17,19,20,23,24,50,51,52,54,55,
56,60,61,62,63,66,67,68,69,70,80,81,82,198,199,200,201,202,206,207,208,545],[
1,2,3,4,5,8,9,10,12,13,14,15,25,26,27,28,29,30,80,83,84,85,88,90,91,92,93,94,
95,96,97,98,99,223,224,225,226,227,546],[1,2,3,4,8,9,10,12,16,17,19,20,32,47,
60,62,80,100,101,147,205,282,375,547],[1,2,3,4,8,9,10,11,12,23,24,32,47,61,63,
69,80,81,100,101,147,206,281,282,374,375,548],[1,2,3,4,8,9,10,11,12,23,24,32,
33,61,63,69,80,81,103,104,125,143,147,206,305,336,386,410,549],[1,2,3,4,8,9,
10,11,12,16,17,19,20,32,33,60,62,80,81,103,104,126,127,143,147,205,306,336,
386,411,550],[1,2,3,4,5,8,9,10,12,13,14,15,18,27,32,34,57,80,83,84,85,88,100,
103,112,133,137,223,277,284,388,397,551],[1,2,3,4,5,8,9,10,12,13,14,15,21,27,
32,35,58,80,83,84,85,88,101,104,111,133,136,223,276,283,387,396,552],[1,2,3,4,
5,8,9,10,12,13,14,15,22,27,32,36,59,80,83,84,85,88,101,103,113,135,138,223,
279,285,389,398,553],[1,2,3,4,5,8,9,10,11,12,13,14,15,27,32,80,81,83,84,85,88,
103,104,128,147,223,282,304,386,412,554],[1,2,4,5,8,10,11,22,27,32,33,59,64,
81,88,102,128,143,147,204,281,305,377,412,555],[1,2,3,4,5,8,9,10,11,12,13,14,
16,19,20,23,24,27,33,34,60,63,66,68,69,70,80,82,83,102,106,108,110,124,137,
144,208,277,288,291,379,392,394,556],[1,2,3,4,5,8,9,10,11,12,13,14,16,19,20,
23,24,27,33,35,60,63,66,68,69,70,80,82,83,102,105,107,109,124,136,144,208,276,
289,290,379,393,395,557],[1,2,4,5,8,10,11,15,22,27,33,36,59,64,81,84,102,113,
124,138,145,204,278,293,378,398,558],[1,2,3,4,5,8,9,10,12,13,14,18,21,27,33,
34,35,57,58,65,80,83,102,111,112,124,136,137,144,203,280,287,292,379,396,397,
559],[1,2,3,4,5,8,9,10,11,12,13,14,23,24,27,33,34,35,61,63,69,80,81,83,102,
109,110,124,136,137,144,206,280,290,291,379,392,393,560],[1,2,3,4,5,8,9,10,12,
13,14,16,17,19,20,27,33,34,35,60,62,80,83,102,105,106,107,108,124,136,137,144,
205,280,288,289,379,394,395,561],[1,2,3,4,5,8,9,10,11,12,27,28,29,30,32,33,80,
81,88,97,98,99,103,104,126,127,128,143,147,225,282,306,337,386,411,412,562],[
1,2,3,4,5,9,12,13,14,16,18,19,20,27,29,30,33,34,35,57,60,72,74,76,83,97,105,
107,112,123,136,137,144,216,286,288,292,376,395,397,563],[1,2,3,4,5,9,10,12,
13,14,16,19,20,21,27,28,30,33,34,35,58,60,71,73,78,83,98,106,108,111,123,136,
137,144,217,286,287,289,376,394,396,564],[1,2,3,4,5,9,11,13,14,23,27,31,32,34,
35,63,83,86,87,89,109,110,128,133,136,137,222,283,284,286,392,393,401,565],[1,
3,4,5,13,14,15,16,18,19,21,26,29,30,31,35,37,71,74,75,76,87,91,96,107,111,129,
132,142,158,212,298,302,404,415,566],[1,3,5,14,16,18,25,29,31,34,37,74,86,92,
108,112,129,131,141,159,209,296,300,406,416,567],[1,3,4,5,13,15,16,17,21,25,
28,30,31,35,37,71,77,87,95,107,111,130,131,142,158,210,298,303,404,418,568],[
1,3,4,5,13,14,15,16,18,20,21,26,28,29,30,31,34,37,71,72,74,79,86,94,96,108,
112,130,132,141,159,213,296,301,406,417,569],[1,3,4,5,13,14,15,18,19,20,21,25,
26,28,29,30,31,34,37,72,75,76,78,79,86,92,94,95,96,106,112,129,130,131,132,
141,159,215,297,300,301,405,416,417,570],[1,3,4,5,13,15,20,21,25,26,28,29,30,
31,35,37,73,79,87,91,93,95,105,111,129,130,131,132,142,158,211,299,302,303,
403,415,418,571],[1,2,5,8,25,26,27,33,47,88,90,124,143,224,338,409,572],[1,2,
5,8,27,33,47,88,124,143,194,335,409,573],[1,3,4,5,13,15,16,17,21,25,28,30,35,
48,71,77,95,107,117,149,210,324,356,574],[1,3,5,14,16,18,25,29,34,48,74,92,
108,116,148,209,325,355,575],[1,3,5,14,16,18,25,29,34,49,74,92,112,116,152,
209,330,367,576],[1,3,4,5,13,14,15,16,18,20,21,23,26,28,29,30,34,50,71,72,74,
79,94,96,106,110,115,118,148,213,323,325,354,363,577],[1,3,4,5,13,14,15,16,18,
20,21,26,28,29,30,34,35,48,71,72,74,79,94,96,107,108,116,117,148,149,213,326,
328,355,356,578],[1,3,4,5,13,15,16,17,20,21,23,25,28,30,34,35,50,71,77,95,105,
110,114,118,148,149,210,323,328,357,363,579],[1,3,4,5,13,14,15,16,18,19,20,21,
23,26,29,30,35,50,71,74,75,76,91,96,105,109,114,121,149,212,324,326,357,364,
580],[1,3,4,5,14,16,18,20,23,25,29,34,35,50,74,92,106,109,115,121,148,149,209,
326,331,354,364,581],[1,3,4,5,13,14,15,16,18,19,21,26,29,30,34,35,48,71,74,75,
76,91,96,107,108,116,117,148,149,212,323,331,355,356,582],[1,3,4,5,13,14,15,
16,18,19,21,22,26,29,30,35,36,53,71,74,75,76,91,96,111,113,117,119,153,155,
212,329,334,358,373,583],[1,3,4,5,13,14,15,16,18,20,21,23,26,28,29,30,34,35,
50,71,72,74,79,94,96,105,109,110,114,118,121,148,149,213,324,328,331,357,363,
364,584],[1,3,4,5,13,14,15,16,18,19,20,21,23,26,29,30,34,35,50,71,74,75,76,91,
96,106,109,110,115,118,121,148,149,212,325,328,331,354,363,364,585],[1,3,4,5,
13,14,15,16,18,20,21,26,28,29,30,34,49,71,72,74,79,94,96,112,115,116,152,213,
330,332,366,367,586],[1,3,4,5,13,15,16,17,21,22,25,28,30,35,36,53,71,77,95,
111,113,117,120,153,155,210,329,333,358,372,587],[1,3,4,5,13,14,15,17,19,20,
21,22,26,28,29,30,35,36,53,73,75,77,78,79,93,94,96,111,113,114,119,120,153,
155,214,327,333,334,359,372,373,588],[1,2,3,4,9,11,12,16,18,19,20,23,24,33,34,
52,56,57,60,63,68,115,116,127,137,144,200,288,311,346,382,589],[1,2,3,4,9,10,
11,17,21,23,24,33,34,55,58,63,67,118,126,137,144,198,291,311,347,381,590],[1,
2,3,4,9,11,18,23,33,35,49,57,63,121,127,136,144,195,292,309,345,382,591],[1,2,
3,4,9,11,17,18,23,24,33,35,55,57,63,67,121,127,136,144,198,290,312,345,382,
592],[1,2,3,4,9,10,11,21,22,23,33,34,53,58,59,63,118,126,137,144,196,287,310,
347,381,593],[1,2,3,4,9,10,11,12,16,19,20,21,23,24,33,35,52,56,58,60,63,68,
114,117,126,136,144,200,289,312,344,381,594],[1,2,3,4,9,10,11,12,16,19,20,21,
23,24,33,34,35,50,54,56,58,60,63,70,114,117,118,126,136,137,144,199,288,290,
313,344,347,381,595],[1,2,3,4,9,10,11,21,22,24,33,36,53,58,59,61,122,126,127,
138,145,196,293,314,348,383,596],[1,2,3,4,9,11,12,16,18,19,20,23,24,33,34,35,
50,54,56,57,60,63,70,115,116,121,127,136,137,144,199,289,291,313,345,346,382,
597],[1,2,3,4,9,11,12,16,19,20,22,23,24,33,36,52,56,60,63,64,68,119,122,125,
127,139,146,200,294,315,351,385,598],[1,2,3,4,9,11,17,22,23,24,33,36,55,63,64,
67,120,122,125,127,139,146,198,295,315,353,385,599],[1,2,3,4,10,11,12,17,19,
20,22,23,24,33,36,51,54,55,56,61,64,67,68,69,70,119,120,122,125,126,139,146,
202,294,295,316,351,353,384,600],[1,2,3,4,8,9,10,11,12,18,23,24,32,35,57,61,
63,69,80,81,100,103,121,133,136,206,276,320,345,388,601],[1,2,3,4,8,9,10,12,
16,17,18,19,20,32,34,57,60,62,80,100,103,115,116,133,137,205,277,317,346,388,
602],[1,2,3,4,8,9,10,12,16,17,19,20,21,32,35,58,60,62,80,101,104,114,117,133,
136,205,276,318,344,387,603],[1,2,3,4,8,9,10,11,12,21,23,24,32,34,58,61,63,69,
80,81,101,104,118,133,137,206,277,319,347,387,604],[1,2,3,4,8,9,10,11,12,16,
18,19,20,23,24,32,34,35,57,60,63,66,68,69,70,80,82,100,103,115,116,121,133,
136,137,208,280,318,319,345,346,388,605],[1,2,3,4,8,9,10,11,12,16,19,20,21,23,
24,32,34,35,58,60,63,66,68,69,70,80,82,101,104,114,117,118,133,136,137,208,
280,317,320,344,347,387,606],[1,2,3,4,8,9,10,12,16,17,19,20,22,32,36,59,60,62,
80,101,103,119,120,135,138,205,279,322,349,389,607],[1,2,3,4,8,9,10,11,12,22,
23,24,32,36,59,61,63,69,80,81,101,103,122,135,138,206,279,321,348,389,608],[1,
2,3,4,8,10,11,12,17,19,20,22,23,24,32,36,59,61,62,67,68,69,70,81,82,101,104,
119,120,122,135,138,207,278,321,322,348,349,390,609],[1,2,3,4,5,9,10,12,13,14,
16,18,19,20,21,27,29,30,32,35,57,58,60,72,74,76,83,97,103,111,114,117,133,136,
216,283,309,318,341,344,396,610],[1,2,3,4,5,9,10,12,13,14,16,18,19,20,21,27,
28,30,32,34,57,58,60,71,73,78,83,98,103,112,115,116,133,137,217,284,310,317,
341,346,397,611],[1,2,3,4,5,9,10,12,15,17,19,20,21,22,27,28,29,30,32,36,58,59,
62,75,77,79,84,97,98,103,104,113,119,120,135,138,218,285,314,322,343,349,398,
612],[1,2,3,4,5,9,11,12,13,14,16,19,20,23,24,27,32,34,35,52,56,60,63,68,83,
105,106,107,108,128,133,136,137,200,313,317,318,394,395,401,613],[1,2,3,4,5,9,
11,13,14,17,23,24,27,32,34,35,55,63,67,83,109,110,128,133,136,137,198,313,319,
320,392,393,401,614],[1,2,3,4,5,9,11,12,13,14,16,19,20,23,24,27,32,34,50,54,
56,60,63,70,83,106,108,110,128,133,137,199,311,317,319,392,394,401,615],[1,2,
3,4,5,9,11,12,13,14,16,19,20,23,24,27,32,35,50,54,56,60,63,70,83,105,107,109,
128,133,136,199,312,318,320,393,395,401,616],[1,2,3,4,5,8,9,10,12,13,14,15,27,
32,33,47,80,83,84,85,88,100,101,124,143,147,223,336,337,375,409,617],[1,2,4,5,
8,10,11,25,26,27,32,33,81,88,90,102,128,143,147,224,304,337,377,412,618],[1,2,
3,4,5,8,9,10,12,27,28,29,30,32,33,47,80,88,97,98,99,100,101,124,143,147,225,
304,306,375,409,619],[1,2,3,4,5,8,9,10,11,12,27,28,29,30,33,80,81,88,97,98,99,
102,126,127,143,225,336,338,377,411,620],[1,2,3,4,5,8,9,10,11,12,13,14,15,27,
32,33,80,81,83,84,85,88,102,126,127,128,143,147,223,306,337,338,377,411,412,
621],[1,2,3,4,8,9,10,11,12,32,33,47,80,81,82,101,125,126,127,143,147,221,305,
306,335,374,410,411,622],[1,2,3,4,5,8,9,10,12,27,28,29,30,31,33,37,80,88,89,
97,98,99,123,124,129,130,156,157,225,308,339,419,420,623],[1,2,3,4,5,10,12,13,
14,15,25,26,27,28,29,30,31,33,37,84,85,89,90,93,94,95,96,98,99,102,123,129,
130,131,132,156,157,226,307,308,340,380,419,421,624],[1,2,5,8,25,26,27,31,33,
37,88,89,90,123,124,131,132,156,157,224,339,340,420,421,625],[1,2,4,5,8,10,11,
27,33,81,88,102,125,143,260,377,410,626],[1,2,4,5,8,10,11,27,32,33,47,81,88,
101,124,125,128,143,147,267,374,409,410,412,627],[1,2,3,4,5,9,10,11,13,14,21,
23,27,33,35,58,63,83,109,111,123,126,136,144,261,376,381,393,396,628],[1,2,3,
4,5,9,11,13,14,18,23,27,33,34,57,63,83,110,112,123,127,137,144,262,376,382,
392,397,629],[1,2,3,4,5,9,10,11,13,14,18,21,23,27,32,34,35,57,58,63,83,103,
111,112,118,121,128,133,136,137,271,341,345,347,396,397,401,630],[1,2,4,5,10,
11,15,22,24,27,32,36,59,61,84,104,113,122,128,134,138,273,342,348,398,402,
631],[1,2,3,4,8,9,10,11,12,32,47,80,81,82,147,221,228,281,282,632],[1,2,3,4,8,
9,10,12,18,21,32,33,57,58,65,80,143,147,160,203,251,282,306,336,633],[1,2,3,4,
5,9,10,12,13,14,16,19,20,21,27,28,30,33,34,58,60,71,73,78,83,98,137,141,144,
156,217,231,246,287,288,634],[1,2,3,4,5,9,12,13,14,16,18,19,20,27,29,30,33,35,
57,60,72,74,76,83,97,136,142,144,156,216,231,245,289,292,635],[1,2,3,4,5,8,9,
10,12,13,14,15,27,34,35,80,83,84,85,88,136,137,141,142,223,245,246,280,286,
636],[1,2,3,4,8,9,10,11,12,23,24,32,33,61,63,69,80,81,135,143,146,147,206,230,
243,305,306,637],[1,2,3,4,8,9,10,11,12,34,35,47,80,81,82,136,137,140,221,249,
276,277,280,638],[1,2,3,4,8,9,10,11,12,36,47,80,81,82,138,139,221,250,278,279,
639],[1,2,3,4,5,9,12,13,14,16,18,19,20,27,29,30,37,57,60,72,74,76,83,97,157,
158,159,216,252,296,297,640],[1,2,3,4,5,9,10,12,13,14,16,19,20,21,27,28,30,37,
58,60,71,73,78,83,98,157,158,159,217,252,298,299,641],[1,2,3,4,8,9,10,11,12,
16,19,20,23,24,33,34,35,60,63,66,68,69,70,80,82,136,137,140,143,144,145,208,
229,249,288,289,290,291,642],[1,2,3,4,8,10,11,12,17,19,20,23,24,33,36,61,62,
67,68,69,70,81,82,138,139,143,146,207,230,250,294,295,643],[1,2,3,4,5,8,9,10,
12,27,28,29,30,32,33,80,88,97,98,99,133,134,143,147,160,225,244,251,282,304,
306,337,644],[1,2,3,4,5,9,12,13,14,15,25,26,27,28,29,30,34,37,83,85,90,91,92,
94,95,96,97,99,137,141,157,158,159,227,246,252,300,301,645],[1,2,3,4,5,9,12,
13,14,15,25,26,27,28,29,30,35,37,83,85,90,91,92,94,95,96,97,99,136,142,157,
158,159,227,245,252,302,303,646],[1,2,3,4,8,9,10,12,18,21,35,57,58,65,80,136,
153,203,235,276,309,647],[1,2,3,4,8,9,10,12,18,21,34,57,58,65,80,137,152,203,
238,277,310,648],[1,2,3,4,8,9,10,12,18,21,36,57,58,65,80,138,155,203,240,279,
314,649],[1,2,3,4,8,9,10,11,12,16,19,20,23,24,34,35,60,63,66,68,69,70,80,82,
136,137,149,151,154,208,236,239,276,280,312,313,650],[1,2,3,4,8,9,10,11,12,16,
19,20,23,24,34,35,60,63,66,68,69,70,80,82,136,137,148,150,154,208,237,239,277,
280,311,313,651],[1,2,3,4,5,9,10,12,13,14,16,19,20,21,27,28,30,32,35,58,60,71,
73,78,83,98,133,135,136,153,217,233,235,283,318,652],[1,2,3,4,5,9,12,13,14,16,
18,19,20,27,29,30,32,34,57,60,72,74,76,83,97,133,137,152,216,232,238,284,317,
653],[1,2,3,4,5,9,10,12,15,17,19,20,21,27,28,29,30,32,36,58,62,75,77,79,84,97,
98,133,135,138,155,218,233,240,285,322,654],[1,2,3,4,8,9,10,11,12,23,24,34,35,
61,63,69,80,81,136,137,140,206,249,311,312,313,655],[1,2,3,4,8,9,10,11,12,23,
24,36,61,63,69,80,81,138,139,206,250,315,316,656],[1,2,3,4,9,11,12,16,19,20,
23,24,32,33,34,35,50,54,56,60,63,70,133,136,137,144,154,160,199,239,247,290,
291,319,320,657],[1,2,3,4,9,11,12,16,19,20,23,24,32,33,35,52,56,60,63,68,133,
136,144,149,151,160,200,236,247,289,290,318,320,658],[1,2,3,4,9,11,12,16,19,
20,23,24,32,33,34,52,56,60,63,68,133,137,144,148,150,160,200,237,247,288,291,
317,319,659],[1,2,3,4,9,12,16,19,20,23,32,33,34,35,48,50,52,60,66,133,136,137,
144,154,160,197,239,247,288,289,317,318,660],[1,2,3,4,5,9,12,13,14,16,18,19,
20,27,29,30,34,35,57,60,72,74,76,83,97,140,148,149,154,216,241,325,326,331,
661],[1,2,3,4,5,9,10,12,13,14,16,19,20,21,27,28,30,34,35,58,60,71,73,78,83,98,
140,148,149,154,217,241,323,324,328,662],[1,2,3,4,5,9,10,12,13,14,16,19,20,21,
27,28,30,36,58,60,71,73,78,83,98,138,155,217,240,327,329,663],[1,2,3,4,5,9,12,
13,14,16,18,19,20,27,29,30,34,57,60,72,74,76,83,97,137,152,216,238,330,332,
664],[1,2,3,4,5,9,12,13,14,15,16,18,19,20,21,27,28,29,30,34,35,60,65,71,74,75,
76,78,79,85,97,99,137,140,148,149,150,154,219,237,241,323,325,328,331,665],[1,
2,3,4,5,9,12,13,14,15,16,18,19,20,21,27,28,29,30,34,35,60,65,71,74,75,76,78,
79,85,97,99,136,140,148,149,151,154,219,236,241,324,326,328,331,666],[1,2,3,4,
5,9,10,12,15,17,19,20,21,27,28,29,30,35,36,58,62,75,77,79,84,97,98,136,138,
153,155,218,235,240,333,334,667],[1,2,3,4,8,10,11,12,17,19,20,23,24,32,36,61,
62,67,68,69,70,81,82,135,138,139,147,207,243,250,321,322,668],[1,2,3,4,8,9,10,
11,12,16,19,20,23,24,32,34,35,60,63,66,68,69,70,80,82,133,134,136,137,140,147,
208,244,249,317,318,319,320,669],[1,2,3,4,8,9,10,11,12,33,47,80,81,82,143,146,
221,230,335,336,670],[1,2,3,4,5,8,9,10,12,13,14,15,27,32,33,80,83,84,85,88,
143,147,160,223,251,304,337,338,671],[1,2,3,4,5,8,9,10,12,27,28,29,30,32,33,
80,88,97,98,99,143,144,145,147,160,225,229,251,306,336,337,338,672],[1,2,3,4,
5,8,9,10,12,13,14,15,27,37,80,83,84,85,88,157,158,159,223,252,307,339,673],[1,
2,3,4,5,9,12,13,14,15,25,26,27,28,29,30,33,37,83,85,90,91,92,94,95,96,97,99,
144,156,157,158,159,227,231,252,308,340,674],[1,2,3,4,8,9,10,12,16,17,19,20,
32,33,60,62,80,133,134,143,144,145,147,160,205,229,244,247,248,251,675],[1,2,
3,4,8,9,10,12,16,17,19,20,34,35,60,62,80,136,137,140,148,149,150,151,154,205,
236,237,239,241,242,249,676],[1,2,3,4,9,11,18,22,23,33,57,63,64,125,127,144,
146,161,382,385,431,677],[1,2,3,4,9,10,11,21,22,23,24,33,58,61,63,64,125,126,
127,144,145,146,161,381,383,384,385,430,431,678],[1,2,3,4,8,9,10,12,18,22,32,
47,57,59,80,100,101,103,133,135,147,165,375,388,389,428,679],[1,2,3,4,8,9,10,
11,12,21,22,32,47,58,59,80,81,100,101,103,104,133,134,135,147,165,374,375,387,
389,390,391,428,429,680],[1,2,5,8,27,31,33,47,88,89,123,124,143,156,162,409,
420,433,681],[1,3,5,14,16,18,29,31,34,48,49,74,86,108,112,116,141,148,152,163,
355,367,406,426,682],[1,3,4,5,13,16,21,22,30,31,35,48,53,71,87,107,111,117,
142,149,153,164,356,358,404,424,683],[1,3,4,5,13,16,20,21,22,23,28,30,31,35,
50,53,71,73,87,105,107,111,114,117,142,149,151,153,164,357,358,359,362,403,
404,424,425,684],[1,3,4,5,14,16,18,20,23,29,30,31,34,49,50,72,74,86,106,108,
112,115,116,141,148,150,152,163,354,365,366,367,405,406,426,427,685],[1,2,3,4,
8,9,10,11,12,21,22,32,58,59,80,81,101,103,104,133,134,135,147,165,342,343,386,
387,389,390,422,423,429,686],[1,2,3,4,8,9,10,11,12,18,21,22,32,57,58,59,80,81,
100,101,103,104,133,134,135,147,165,341,343,386,388,389,391,423,428,687],[1,2,
4,5,8,10,11,15,27,31,33,81,84,88,89,102,123,124,143,145,156,162,377,378,380,
420,432,433,688],[1,2,5,8,27,32,33,88,143,147,260,268,337,689],[1,2,5,8,27,32,
33,88,143,147,267,268,269,304,337,338,690],[1,2,3,4,9,11,23,32,33,34,35,63,
133,136,137,144,263,265,271,275,290,311,320,691],[1,2,3,4,9,11,23,32,33,34,35,
63,133,136,137,144,263,264,271,274,291,312,319,692],[1,2,3,4,9,11,23,32,33,34,
35,63,133,136,137,144,261,265,270,274,291,313,320,693],[1,2,3,4,9,11,23,32,33,
34,35,63,133,136,137,144,262,264,270,275,290,313,319,694],[1,2,3,4,8,9,10,12,
32,33,80,133,134,143,147,244,267,268,282,336,695],[1,2,3,4,8,9,10,12,33,34,35,
80,136,137,143,144,145,229,261,262,263,280,696],[1,2,3,4,8,9,10,12,32,33,80,
143,144,145,147,229,260,267,269,306,697],[1,2,3,4,8,9,10,12,32,36,80,133,134,
138,147,244,272,273,279,698],[1,2,3,4,8,9,10,12,32,34,35,80,133,134,136,137,
147,244,270,271,276,277,699],[1,2,3,4,9,12,16,19,20,32,33,34,35,60,133,136,
137,144,148,150,237,262,265,271,274,289,317,700],[1,2,3,4,9,12,16,19,20,32,33,
34,35,60,133,136,137,144,149,151,236,261,264,271,275,288,318,701],[1,2,3,4,8,
9,10,12,21,32,33,34,58,80,101,104,133,137,143,144,145,229,265,277,287,387,
702],[1,2,3,4,8,9,10,12,18,32,33,35,57,80,100,103,133,136,143,144,145,229,264,
276,292,388,703],[1,2,3,4,8,9,10,12,22,32,33,36,59,80,101,103,135,138,143,144,
145,229,266,279,293,389,704],[1,2,3,4,8,9,10,11,12,32,33,80,81,103,104,143,
144,145,147,229,268,282,305,386,705],[1,2,4,5,8,10,11,27,32,33,81,88,102,135,
143,147,243,268,281,304,377,706],[1,2,3,4,8,9,10,11,12,32,33,80,81,126,127,
133,134,143,147,244,268,269,281,305,306,411,707],[1,2,3,4,5,8,9,10,12,13,14,
27,32,33,34,35,80,83,102,124,133,134,136,137,144,147,244,264,265,280,283,284,
379,708],[1,2,4,5,8,10,11,15,27,32,33,36,81,84,102,124,135,138,145,147,243,
266,278,285,378,709],[1,2,3,4,5,9,11,13,14,23,27,32,33,34,35,63,83,128,133,
136,137,144,156,231,264,265,286,290,291,401,710],[1,2,5,8,27,32,33,47,88,124,
143,147,228,269,335,337,409,711],[1,2,3,4,8,9,10,12,32,33,47,80,100,101,143,
144,145,147,229,269,335,336,375,712],[1,2,3,4,9,11,18,23,32,33,35,57,63,127,
133,136,144,232,264,309,320,382,713],[1,2,3,4,9,10,11,21,23,32,33,34,58,63,
126,133,135,137,144,233,265,310,319,381,714],[1,2,3,4,9,10,11,21,24,32,33,36,
58,61,126,127,133,135,138,145,233,266,314,321,383,715],[1,2,3,4,5,9,12,13,14,
16,19,20,27,32,34,35,60,83,106,108,133,136,137,149,151,236,270,274,283,286,
317,394,716],[1,2,3,4,5,9,12,13,14,16,19,20,27,32,34,35,60,83,105,107,133,136,
137,148,150,237,270,275,284,286,318,395,717],[1,2,3,4,5,9,11,13,14,23,27,32,
34,35,63,83,110,133,136,137,142,245,270,275,283,312,320,392,718],[1,2,3,4,5,9,
11,13,14,23,27,32,34,35,63,83,109,133,136,137,141,246,270,274,284,311,319,393,
719],[1,2,3,4,9,10,12,16,19,20,21,33,34,35,58,60,114,117,136,137,144,148,150,
237,263,274,287,288,310,344,720],[1,2,3,4,9,10,11,21,23,33,34,35,58,63,118,
136,137,144,153,235,263,274,287,290,313,347,721],[1,2,3,4,9,12,16,18,19,20,33,
34,35,57,60,115,116,136,137,144,149,151,236,263,275,289,292,309,346,722],[1,2,
3,4,9,11,18,23,33,34,35,57,63,121,136,137,144,152,238,263,275,291,292,313,345,
723],[1,2,4,5,8,10,11,27,32,33,81,88,128,143,146,147,230,268,269,305,337,338,
412,724],[1,2,5,8,27,33,47,88,124,143,161,259,260,335,338,409,725],[1,2,4,5,8,
10,11,27,32,33,81,88,102,143,147,161,259,267,305,337,377,726],[1,2,3,4,9,11,
18,23,33,35,57,63,127,136,144,162,257,261,290,292,382,727],[1,2,3,4,9,10,11,
21,23,33,34,58,63,126,137,144,162,257,262,287,291,381,728],[1,2,4,5,8,10,11,
27,32,33,81,88,128,143,147,165,258,267,281,304,305,337,412,729],[1,2,3,4,5,9,
11,13,14,23,27,32,34,35,63,83,128,133,136,137,165,253,271,283,284,319,320,401,
730],[1,2,4,5,10,11,15,24,27,32,36,61,84,128,134,135,138,165,254,273,285,321,
402,731],[1,2,3,4,5,9,11,13,14,23,27,32,34,35,63,83,109,133,136,137,164,255,
271,283,286,313,320,393,732],[1,2,3,4,5,9,11,13,14,23,27,32,34,35,63,83,110,
133,136,137,163,256,271,284,286,313,319,392,733],[1,2,3,4,9,10,11,21,23,33,34,
58,63,118,137,144,163,256,262,287,291,310,311,347,734],[1,2,3,4,9,11,18,23,33,
35,57,63,121,136,144,164,255,261,290,292,309,312,345,735],[1,2,3,4,5,8,9,10,
12,13,14,27,33,80,83,102,123,124,143,144,145,156,162,229,231,257,376,379,432,
433,736],[1,2,3,4,8,9,10,11,12,32,47,80,81,100,101,103,104,133,134,135,147,
165,228,243,244,258,374,375,386,428,429,737],[1,2,3,4,8,9,10,11,12,33,80,81,
125,126,127,143,144,145,146,161,229,230,259,410,411,430,431,738],[1,2,3,4,8,9,
10,12,18,21,32,57,58,80,100,101,103,104,133,134,135,147,165,232,233,244,253,
341,387,388,423,428,739],[1,2,3,4,8,9,10,12,22,32,59,80,101,103,104,133,134,
135,147,165,234,244,254,342,389,423,429,740],[1,2,3,4,8,9,10,11,21,22,32,58,
59,81,100,101,103,104,133,134,135,147,165,233,234,243,254,343,390,391,422,423,
428,429,741],[1,2,3,4,5,9,10,12,13,14,16,19,20,21,27,35,58,60,83,105,107,111,
114,117,136,142,149,151,153,164,235,236,245,255,344,395,396,424,425,742],[1,2,
3,4,5,9,12,13,14,16,18,19,20,27,34,57,60,83,106,108,112,115,116,137,141,148,
150,152,163,237,238,246,256,346,394,397,426,427,743],[1,2,3,4,8,9,10,32,100,
101,103,104,133,134,135,147,165,253,254,258,422,423,428,429,744],[1,2,5,8,27,
33,47,88,124,143,166,409,434,745],[1,2,3,4,9,10,11,21,23,33,58,63,126,144,166,
381,435,746],[1,2,3,4,9,11,18,23,33,57,63,127,144,166,382,435,747],[1,2,4,5,8,
10,11,27,33,81,88,102,143,166,377,434,748],[1,2,4,5,8,10,11,27,32,33,47,81,88,
101,102,124,143,146,147,230,269,335,337,374,377,409,749],[1,2,4,5,8,10,11,27,
32,33,47,81,88,101,124,128,143,147,228,268,304,305,374,409,412,750],[1,2,4,5,
8,10,11,27,32,33,81,88,102,125,128,143,146,147,230,269,305,338,377,410,412,
751],[1,2,3,4,8,9,10,11,12,32,33,47,80,81,100,101,126,127,143,147,160,251,268,
305,335,374,375,411,752],[1,2,3,4,5,9,10,11,13,14,21,23,27,34,35,58,63,83,109,
111,118,136,137,153,235,275,286,312,347,393,396,753],[1,2,3,4,5,9,10,12,13,14,
16,19,20,21,27,34,35,58,60,83,106,108,111,114,117,136,137,154,239,275,286,310,
344,394,396,754],[1,2,3,4,5,9,12,13,14,16,18,19,20,27,34,35,57,60,83,105,107,
112,115,116,136,137,154,239,274,286,309,346,395,397,755],[1,2,3,4,5,9,11,13,
14,18,23,27,34,35,57,63,83,110,112,121,136,137,152,238,274,286,311,345,392,
397,756],[1,2,3,4,5,9,10,11,13,14,21,23,27,32,34,35,58,63,83,111,118,128,133,
135,136,137,233,270,284,320,347,396,401,757],[1,2,3,4,5,9,11,13,14,18,23,27,
32,34,35,57,63,83,112,121,128,133,136,137,232,270,283,319,345,397,401,758],[1,
2,4,5,10,11,15,22,24,27,32,36,59,61,84,113,122,128,134,135,138,234,272,285,
321,348,398,402,759],[1,2,3,4,5,9,11,13,14,18,23,27,34,35,57,63,83,109,112,
121,136,137,142,245,275,309,313,345,393,397,760],[1,2,3,4,5,9,10,11,13,14,21,
23,27,34,35,58,63,83,110,111,118,136,137,141,246,274,310,313,347,392,396,
761],[1,2,3,4,9,10,11,18,21,23,32,33,35,57,58,63,103,121,126,133,136,144,153,
235,264,292,320,341,345,381,762],[1,2,3,4,9,10,11,18,21,23,32,33,34,57,58,63,
103,118,127,133,137,144,152,238,265,287,319,341,347,382,763],[1,2,3,4,9,10,11,
21,22,24,32,33,36,58,59,61,103,104,122,126,127,135,138,145,155,240,266,293,
321,343,348,383,764],[1,2,3,4,10,12,17,19,20,22,32,33,36,59,62,104,119,120,
134,138,145,160,248,272,293,342,349,765],[1,2,3,4,9,10,12,16,18,19,20,21,32,
33,34,35,57,58,60,103,114,115,116,117,133,136,137,144,160,247,270,287,292,341,
344,346,766],[1,2,3,4,5,8,9,10,12,13,14,18,27,32,33,34,35,57,80,83,100,102,
103,112,124,133,136,137,140,144,249,265,283,292,379,388,397,767],[1,2,3,4,5,8,
9,10,12,13,14,21,27,32,33,34,35,58,80,83,101,102,104,111,124,133,136,137,140,
144,249,264,284,287,379,387,396,768],[1,2,4,5,8,10,11,15,22,27,32,33,36,59,81,
84,101,102,104,113,124,135,138,139,145,250,266,285,293,378,390,398,769],[1,2,
3,4,5,9,12,13,14,16,19,20,27,32,33,34,35,60,83,105,106,107,108,123,133,136,
137,144,160,247,263,283,284,376,394,395,770],[1,2,3,4,5,9,11,13,14,23,27,32,
33,34,63,83,110,123,128,133,137,141,144,246,265,284,291,376,392,401,771],[1,2,
3,4,5,9,11,13,14,23,27,32,33,35,63,83,109,123,128,133,136,142,144,245,264,283,
290,376,393,401,772],[1,2,3,4,8,9,10,11,12,32,33,80,81,103,104,125,126,127,
143,147,160,251,269,281,305,386,410,411,773],[1,2,3,4,5,9,10,11,13,14,21,23,
27,33,34,35,58,63,83,110,111,126,136,137,144,156,231,263,287,290,381,392,396,
774],[1,2,3,4,5,9,11,13,14,18,23,27,33,34,35,57,63,83,109,112,127,136,137,144,
156,231,263,291,292,382,393,397,775],[1,2,4,5,8,10,11,27,32,33,81,88,125,128,
135,143,147,243,268,281,337,410,412,776],[1,2,3,4,8,9,10,11,12,32,33,80,81,
126,127,143,146,147,160,230,251,260,269,305,336,411,777],[1,2,3,4,8,9,10,12,
32,33,47,80,100,101,143,147,160,228,251,267,268,306,335,375,778],[1,2,3,4,9,
12,16,18,19,20,32,33,34,35,57,60,115,116,133,136,137,144,160,232,247,265,271,
292,318,346,779],[1,2,3,4,9,10,12,16,19,20,21,32,33,34,35,58,60,114,117,133,
135,136,137,144,160,233,247,264,271,287,317,344,780],[1,2,3,4,10,12,17,19,20,
22,32,33,36,59,62,119,120,134,135,138,145,160,234,248,266,273,293,322,349,
781],[1,2,3,4,5,9,12,13,14,16,19,20,27,32,34,35,60,83,105,107,133,136,137,141,
154,239,246,271,275,283,317,395,782],[1,2,3,4,5,9,12,13,14,16,19,20,27,32,34,
35,60,83,106,108,133,136,137,142,154,239,245,271,274,284,318,394,783],[1,2,3,
4,9,12,16,18,19,20,33,34,35,57,60,115,116,136,137,144,152,154,238,239,262,274,
288,292,346,784],[1,2,3,4,9,10,12,16,19,20,21,33,34,35,58,60,114,117,136,137,
144,153,154,235,239,261,275,287,289,344,785],[1,2,3,4,8,9,10,12,18,32,34,35,
57,80,100,103,133,136,137,140,152,238,249,270,271,280,309,388,786],[1,2,3,4,8,
9,10,12,21,32,34,35,58,80,101,104,133,136,137,140,153,235,249,270,271,280,310,
387,787],[1,2,3,4,8,9,10,11,21,32,36,58,81,100,101,103,104,134,138,139,155,
240,250,272,273,278,314,391,788],[1,2,3,4,5,9,12,13,14,16,19,20,27,32,33,34,
60,83,106,108,133,137,144,156,160,231,247,262,265,284,288,394,789],[1,2,3,4,5,
9,12,13,14,16,19,20,27,32,33,35,60,83,105,107,133,136,144,156,160,231,247,261,
264,283,289,395,790],[1,2,3,4,8,9,10,11,12,32,33,80,81,126,127,135,143,147,
160,243,251,267,269,282,305,411,791],[1,2,3,4,5,8,9,10,12,13,14,27,33,34,35,
80,83,102,124,136,137,140,141,144,246,249,262,263,277,286,379,792],[1,2,3,4,5,
8,9,10,12,13,14,27,33,34,35,80,83,102,124,136,137,140,142,144,245,249,261,263,
276,286,379,793],[1,2,3,4,8,9,10,11,12,32,33,80,81,103,104,143,146,147,160,
230,251,267,268,281,306,386,794],[1,2,4,5,8,10,11,27,33,36,81,88,102,138,143,
278,377,795],[1,2,3,4,8,9,10,12,22,32,33,35,59,80,101,103,135,136,143,276,336,
389,796],[1,2,3,4,8,9,10,12,22,32,33,34,59,80,101,103,135,137,143,277,336,389,
797],[1,2,3,4,8,9,10,12,21,32,33,36,58,80,101,104,133,138,143,279,336,387,
798],[1,2,3,4,8,9,10,12,18,32,33,36,57,80,100,103,133,138,143,279,336,388,
799],[1,2,3,4,8,9,10,12,32,34,36,47,80,100,101,137,138,147,277,279,375,800],[
1,2,3,4,8,9,10,12,32,35,36,47,80,100,101,136,138,147,276,279,375,801],[1,2,4,
5,8,10,11,15,27,32,33,36,81,84,102,124,138,145,147,278,281,378,802],[1,2,4,5,
10,11,15,24,27,32,37,61,84,128,134,157,307,402,803],[1,2,3,4,8,9,10,12,21,32,
36,58,80,101,104,133,138,147,279,282,387,804],[1,2,3,4,8,9,10,12,22,32,35,59,
80,101,103,135,136,147,276,282,389,805],[1,2,3,4,8,9,10,12,22,32,34,59,80,101,
103,135,137,147,277,282,389,806],[1,2,3,4,8,9,10,12,18,32,36,57,80,100,103,
133,138,147,279,282,388,807],[1,2,3,4,9,10,11,21,23,33,36,58,63,126,138,144,
314,381,808],[1,2,3,4,9,11,18,23,33,36,57,63,127,139,144,315,382,809],[1,2,3,
4,9,10,11,21,23,33,36,58,63,126,139,144,315,381,810],[1,2,3,4,9,11,18,23,33,
35,57,63,127,136,144,309,382,811],[1,2,3,4,9,10,11,21,24,33,34,36,58,61,126,
127,137,138,145,310,314,383,812],[1,2,3,4,9,11,22,23,33,35,36,63,64,125,127,
136,139,146,312,315,385,813],[1,2,3,4,9,11,22,23,33,34,36,63,64,125,127,137,
139,146,311,315,385,814],[1,2,3,4,8,9,10,11,12,32,34,36,80,81,103,104,137,138,
147,277,279,386,815],[1,2,3,4,8,9,10,11,12,32,35,36,80,81,103,104,136,138,147,
276,279,386,816],[1,3,4,5,14,16,18,20,23,29,34,37,50,74,106,115,148,152,159,
296,330,354,817],[1,3,4,5,13,16,21,22,30,34,35,37,53,71,111,117,148,153,158,
298,323,358,818],[1,3,4,5,13,16,21,22,30,35,37,53,71,111,117,149,153,158,298,
324,358,819],[1,3,5,14,16,18,29,34,37,49,74,112,116,148,152,159,296,325,367,
820],[1,3,5,14,16,18,29,34,35,37,49,74,112,116,149,152,159,296,326,367,821],[
1,3,4,5,13,16,21,30,35,36,37,48,71,107,117,149,155,158,298,329,356,822],[1,3,
5,14,16,18,29,34,37,48,74,108,116,148,152,159,296,330,355,823],[1,3,4,5,13,16,
20,21,23,30,35,36,37,50,71,105,114,149,155,158,298,329,357,824],[1,3,4,5,13,
20,21,23,24,28,34,36,37,54,73,110,118,150,155,158,299,327,360,825],[1,3,4,5,
14,18,20,23,24,30,34,35,37,54,72,109,121,151,152,159,297,332,361,826],[1,3,5,
14,16,18,29,31,34,74,86,108,112,141,148,152,325,330,406,827],[1,3,5,14,16,18,
29,31,34,35,74,86,108,112,141,149,152,326,330,406,828],[1,3,4,5,13,16,21,30,
31,35,36,71,87,107,111,142,149,155,324,329,404,829],[1,3,4,5,13,16,21,30,31,
34,35,36,71,87,107,111,142,148,155,323,329,404,830],[1,2,4,5,10,11,15,24,27,
32,36,61,84,128,134,139,316,402,831],[1,2,5,8,27,33,47,88,124,143,335,409,
832],[1,2,4,5,8,10,11,27,33,37,81,88,102,143,157,339,377,833],[1,2,5,8,27,31,
32,33,37,88,89,123,124,147,156,157,304,339,420,834],[1,2,5,8,27,33,37,47,88,
124,143,157,339,409,835],[1,2,5,8,27,31,33,37,88,89,123,124,143,156,157,338,
339,420,836],[1,2,3,4,8,9,10,12,33,80,143,144,145,166,229,434,435,436,837],[1,
2,3,4,8,9,10,12,32,33,80,143,147,160,165,251,258,268,269,282,306,838],[1,2,3,
4,9,12,16,19,20,32,33,34,35,60,133,136,137,144,160,162,247,257,263,264,265,
288,289,839],[1,2,3,4,8,9,10,12,32,33,80,143,147,160,161,251,259,268,269,306,
336,840],[1,2,3,4,8,9,10,12,34,35,80,136,137,140,164,249,255,274,275,276,280,
841],[1,2,3,4,8,9,10,12,34,35,80,136,137,140,163,249,256,274,275,277,280,
842],[1,2,3,4,9,12,16,19,20,32,33,34,35,60,133,136,137,144,154,164,239,255,
263,264,270,289,318,843],[1,2,3,4,9,12,16,19,20,32,33,34,35,60,133,136,137,
144,154,163,239,256,263,265,270,288,317,844],[1,2,3,4,9,12,16,19,20,32,33,34,
35,60,133,136,137,144,160,165,247,253,264,265,270,317,318,845],[1,2,3,4,10,12,
17,19,20,32,33,36,62,134,135,138,145,160,165,248,254,266,272,322,846],[1,2,3,
4,9,11,33,35,125,127,136,144,146,161,166,261,431,435,847],[1,2,3,4,9,11,33,34,
125,127,137,144,146,161,166,262,431,435,848],[1,2,5,8,27,33,123,124,143,156,
162,166,260,433,434,849],[1,2,5,8,27,32,33,123,124,143,147,156,162,166,267,
433,434,850],[1,2,3,4,9,11,33,125,127,144,146,161,162,166,257,431,435,438,440,
851],[1,2,5,8,27,33,123,124,143,156,161,162,166,259,433,434,439,440,852],[1,2,
3,4,10,12,17,19,20,32,33,34,35,62,134,140,145,150,151,154,160,242,248,853],[1,
2,4,5,8,10,11,27,33,81,123,124,125,143,156,162,166,410,433,434,437,438,854],[
1,2,3,4,5,9,11,13,14,27,33,83,123,125,127,144,146,161,166,376,431,435,437,439,
855],[1,2,3,4,10,12,17,19,20,32,33,62,134,145,160,166,248,436,856],[1,2,4,5,
10,11,27,33,102,123,125,126,145,146,156,161,162,166,430,432,436,437,438,439,
440,857],[1,2,6,7,8,43,167,169,172,180,858],[1,5,6,7,25,44,167,170,171,173,
181,859],[1,5,6,7,31,41,42,44,167,188,441,442,860],[1,3,5,6,7,29,39,41,42,45,
167,185,441,443,861],[1,5,6,7,37,41,42,167,441,862],[1,2,7,43,46,192,445,
863],[1,2,6,8,47,172,194,864],[1,3,5,7,14,16,18,25,29,74,92,170,176,209,865],[
1,3,5,7,14,16,18,25,29,74,92,171,178,209,866],[1,3,4,5,7,13,15,16,17,21,25,28,
30,71,77,95,171,177,178,210,867],[1,2,3,4,7,8,9,10,12,16,17,19,20,60,62,80,
169,177,178,205,868],[1,2,5,6,8,25,26,27,88,90,172,173,174,224,869],[1,2,5,7,
8,25,26,27,88,90,169,171,224,870],[1,2,7,8,43,47,169,180,194,471,871],[1,2,5,
7,8,25,26,27,43,88,90,170,180,224,490,872],[1,2,5,6,8,25,26,27,44,88,90,172,
181,224,491,873],[1,3,5,6,14,16,18,25,29,44,74,92,173,181,209,478,874],[1,3,4,
5,6,13,15,20,21,25,26,28,29,30,44,73,79,91,93,95,174,181,211,479,480,875],[1,
2,3,4,7,8,9,10,12,18,21,43,57,58,65,80,176,180,203,472,474,876],[1,2,4,7,8,10,
11,22,43,59,64,81,175,180,204,473,476,877],[1,2,3,4,7,8,9,10,11,12,43,45,47,
80,81,82,169,182,221,471,481,878],[1,2,3,5,7,9,13,14,27,31,43,45,83,86,87,89,
179,182,222,482,483,489,879],[1,2,3,4,7,9,10,21,22,43,45,53,58,59,175,182,196,
473,484,880],[1,2,3,7,9,18,43,45,49,57,176,182,195,472,485,881],[1,2,3,4,7,9,
11,17,23,24,43,45,55,63,67,177,182,198,475,488,882],[1,2,3,4,7,9,12,16,19,20,
23,43,45,48,50,52,60,66,178,182,197,477,486,487,883],[1,2,6,8,33,143,172,260,
884],[1,2,4,7,8,10,11,32,40,43,47,81,101,147,169,183,374,447,471,885],[1,2,3,
4,7,8,9,10,12,32,39,40,43,47,80,100,101,147,169,184,375,446,447,471,886],[1,2,
3,4,5,7,8,9,11,12,27,29,30,32,33,39,42,45,82,97,100,124,127,128,160,169,185,
413,446,465,481,887],[1,2,3,4,5,7,8,10,11,12,27,28,30,32,33,40,42,45,82,98,
101,124,126,128,160,169,186,414,447,465,481,888],[1,2,3,4,5,7,12,27,28,29,30,
31,37,39,40,43,89,99,129,130,157,179,184,419,448,449,489,889],[1,3,4,5,7,13,
15,25,28,30,31,37,40,42,45,87,95,130,131,158,179,186,418,448,464,482,890],[1,
3,5,7,13,26,29,31,37,39,42,45,87,91,129,132,158,179,185,415,449,463,482,891],[
1,3,5,7,14,25,29,31,37,39,42,45,86,92,129,131,159,179,185,416,449,464,483,
892],[1,3,4,5,7,14,15,26,28,30,31,37,40,42,45,86,94,130,132,159,179,186,417,
448,463,483,893],[1,2,4,5,7,10,15,22,27,36,42,43,59,84,113,138,175,187,398,
461,473,894],[1,2,3,5,7,9,13,14,18,27,34,42,43,57,83,112,137,176,187,397,462,
472,895],[1,2,3,4,5,7,12,13,14,15,16,23,27,34,35,42,43,66,85,107,108,109,110,
140,178,187,400,459,460,477,896],[1,2,3,4,7,9,12,16,18,19,20,34,39,40,43,57,
60,115,116,137,176,184,346,450,452,472,897],[1,2,4,7,10,11,22,24,36,40,43,59,
61,122,138,175,183,348,456,473,898],[1,2,3,4,7,9,11,18,23,35,40,43,57,63,121,
136,176,183,345,457,472,899],[1,2,3,4,7,10,12,17,19,20,22,36,39,40,43,59,62,
119,120,138,175,184,349,451,453,473,900],[1,2,3,4,7,12,16,18,21,23,34,35,39,
40,43,65,66,116,117,118,121,140,178,184,352,454,455,477,901],[1,2,4,7,11,17,
22,24,36,40,43,64,67,120,122,139,175,183,353,451,456,476,902],[1,2,3,4,7,12,
16,18,21,23,34,35,39,40,43,65,66,116,117,118,121,140,176,184,352,452,457,474,
903],[1,2,3,4,7,11,12,18,20,21,23,24,34,35,40,43,65,70,114,115,118,121,140,
176,183,350,450,457,474,904],[1,2,3,4,7,11,12,19,22,23,24,36,39,40,43,64,68,
119,122,139,175,184,351,453,456,476,905],[1,2,4,7,11,17,22,24,36,40,43,64,67,
120,122,139,177,183,353,458,475,906],[1,3,5,7,14,16,18,29,34,39,42,45,48,74,
108,116,148,178,185,355,455,460,486,907],[1,3,4,5,7,13,16,18,19,23,29,30,34,
35,39,42,45,52,76,107,110,116,121,154,178,185,368,455,459,487,908],[1,3,5,7,
14,16,18,29,34,39,42,45,49,74,112,116,152,176,185,367,452,462,485,909],[1,3,4,
5,7,14,16,19,21,23,28,30,34,35,40,42,45,52,78,108,109,117,118,154,178,186,371,
454,460,487,910],[1,3,4,5,7,14,18,20,30,34,40,42,45,49,72,112,115,152,176,186,
366,450,462,485,911],[1,3,4,5,7,15,19,21,22,29,30,36,39,42,45,53,75,113,119,
155,175,185,373,453,461,484,912],[1,3,4,5,7,13,16,21,30,35,40,42,45,48,71,107,
117,149,178,186,356,454,459,486,913],[1,3,4,5,7,15,17,21,22,28,30,36,40,42,45,
53,77,113,120,155,175,186,372,451,461,484,914],[1,2,5,7,8,27,33,42,43,47,88,
124,143,169,187,409,465,471,915],[1,2,5,7,25,26,27,31,37,42,43,89,90,131,132,
157,179,187,421,463,464,489,916],[1,3,5,6,14,25,29,31,37,41,44,86,92,129,131,
159,173,188,416,470,478,917],[1,3,5,6,13,26,29,31,37,41,44,87,91,129,132,158,
174,188,415,469,479,918],[1,2,5,7,25,26,27,31,37,42,43,89,90,131,132,157,170,
187,421,467,490,919],[1,2,5,6,8,27,31,33,41,44,88,89,123,124,156,172,188,420,
466,491,920],[1,2,7,8,33,43,47,143,169,189,335,471,921],[1,2,3,7,9,18,33,35,
43,57,136,144,176,189,292,472,922],[1,2,4,7,10,22,33,36,43,59,138,145,175,189,
293,473,923],[1,2,4,7,11,17,24,33,36,43,67,139,146,177,189,295,475,924],[1,3,
5,6,14,25,29,34,37,44,92,141,159,173,190,300,478,925],[1,3,5,6,13,26,29,35,37,
44,91,142,158,174,190,302,479,926],[1,2,5,7,25,26,27,33,37,43,90,156,157,170,
189,340,490,927],[1,2,5,6,8,27,37,44,88,157,172,190,339,491,928],[1,2,3,7,9,
18,32,43,57,133,176,191,232,472,929],[1,2,4,7,10,22,32,43,59,134,135,175,191,
234,473,930],[1,2,7,8,32,43,47,147,169,191,228,471,931],[1,2,7,33,43,161,162,
166,189,440,496,932],[1,2,7,33,43,161,162,166,189,440,494,933],[1,2,4,7,11,33,
40,43,125,162,166,183,438,494,934],[1,2,5,7,27,33,42,43,123,161,166,187,439,
496,935],[1,2,3,7,9,33,43,45,144,162,182,257,494,936],[1,2,7,8,32,43,147,165,
180,258,495,937],[1,2,3,7,9,32,43,45,133,165,182,253,495,938],[1,2,3,7,9,34,
43,45,137,163,182,256,497,939],[1,2,3,7,9,35,43,45,136,164,182,255,498,940],[
1,2,7,8,33,43,143,161,180,259,496,941],[1,2,4,7,10,32,43,104,135,165,191,422,
495,942],[1,2,3,4,5,7,8,9,11,12,27,29,30,32,33,39,40,42,43,45,82,97,100,124,
127,128,160,180,182,183,184,185,186,187,189,191,413,492,493,499,500,501,503,
504,943],[1,2,8,46,47,944],[1,3,18,46,49,945],[1,3,16,46,48,946],[1,4,24,46,
51,947],[1,5,6,25,38,41,168,173,948],[1,5,6,26,38,41,168,174,949],[1,5,7,31,
38,42,168,179,950],[1,5,6,37,38,44,168,190,193,444,505,951],[1,2,3,4,8,9,10,
11,12,16,17,19,20,23,24,47,48,50,51,52,54,55,56,60,61,62,63,66,67,68,69,70,80,
81,82,197,198,199,200,201,202,205,206,207,208,221,540,544,545,952],[1,2,3,4,5,
8,9,10,12,13,14,15,16,17,18,19,20,21,25,26,27,28,29,30,57,58,60,62,65,71,72,
73,74,75,76,77,78,79,80,83,84,85,88,90,91,92,93,94,95,96,97,98,99,203,205,209,
210,211,212,213,214,215,216,217,218,219,220,223,224,225,226,227,541,542,543,
546,953],[1,2,5,8,25,26,27,33,47,88,90,124,143,161,194,224,259,260,335,338,
409,572,573,725,954],[1,2,3,4,9,11,17,18,23,24,33,35,49,55,57,63,67,121,127,
136,144,162,164,195,198,255,257,261,290,292,309,312,345,382,591,592,727,735,
955],[1,2,3,4,9,10,11,17,21,22,23,24,33,34,53,55,58,59,63,67,118,126,137,144,
162,163,196,198,256,257,262,287,291,310,311,347,381,590,593,728,734,956],[1,2,
3,4,5,9,11,13,14,17,23,24,27,31,32,34,35,55,63,67,83,86,87,89,109,110,128,133,
136,137,163,164,165,198,222,253,255,256,271,283,284,286,313,319,320,392,393,
401,565,614,730,732,733,957],[1,2,4,5,8,10,11,22,25,26,27,32,33,59,64,81,88,
90,102,128,143,147,161,165,204,224,258,259,267,281,304,305,337,377,412,555,
618,726,729,958],[1,2,3,4,8,9,10,11,12,16,17,19,20,23,24,32,47,60,61,62,63,66,
67,68,69,70,80,81,82,100,101,147,194,205,206,207,208,221,228,281,282,374,375,
523,540,547,548,632,959],[1,2,3,4,8,9,10,11,12,16,17,19,20,22,23,24,32,33,47,
59,60,61,62,63,64,66,67,68,69,70,80,81,82,101,103,104,125,126,127,135,143,146,
147,204,205,206,207,208,221,230,243,305,306,335,336,374,384,385,386,389,390,
410,411,527,528,540,549,550,622,637,670,960],[1,2,3,4,5,8,9,10,11,12,13,14,15,
16,17,18,19,20,21,23,24,27,28,29,30,32,33,57,58,60,61,62,63,65,69,71,72,73,74,
75,76,77,78,79,80,81,83,84,85,88,97,98,99,102,103,104,126,127,128,143,144,145,
147,160,203,205,206,216,217,218,219,220,223,225,229,251,282,306,336,337,338,
377,381,382,383,386,407,408,411,412,526,537,541,550,562,620,621,633,672,961],[
1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,19,20,23,24,27,33,34,35,47,60,61,62,63,
66,67,68,69,70,80,81,82,83,84,85,88,102,105,106,107,108,109,110,124,136,137,
140,143,144,145,205,206,207,208,221,223,229,249,276,277,280,288,289,290,291,
377,378,379,392,393,394,395,399,400,409,524,533,540,556,557,560,561,638,642,
962],[1,2,3,4,5,8,9,10,11,12,13,14,15,23,24,25,26,27,28,29,30,32,33,61,63,69,
80,81,83,84,85,88,90,91,92,93,94,95,96,97,98,99,102,103,104,126,127,128,133,
134,143,147,160,206,223,224,225,226,227,244,251,282,304,306,337,338,377,386,
401,402,407,408,411,412,530,537,546,554,562,618,621,644,671,963],[1,2,3,4,5,8,
9,10,11,12,13,14,15,16,17,18,19,20,21,27,28,29,30,32,33,47,57,58,60,62,65,71,
72,73,74,75,76,77,78,79,80,81,82,83,84,85,88,97,98,99,100,101,103,104,124,126,
127,128,133,134,143,147,160,203,205,216,217,218,219,220,221,223,225,244,251,
282,304,306,336,337,375,386,387,388,391,409,411,412,413,414,529,538,541,547,
550,554,562,617,619,633,644,964],[1,2,3,4,5,8,9,10,12,13,14,15,16,17,18,19,20,
21,27,28,29,30,31,33,34,35,57,58,60,62,65,71,72,73,74,75,76,77,78,79,80,83,84,
85,86,87,88,89,97,98,99,102,105,106,107,108,111,112,123,124,136,137,141,142,
144,156,203,205,216,217,218,219,220,222,223,225,231,245,246,280,286,287,288,
289,292,376,379,380,394,395,396,397,403,404,405,406,420,525,531,532,541,559,
561,563,564,634,635,636,965],[1,2,3,4,5,9,10,12,13,14,15,16,17,18,19,20,21,25,
26,27,28,29,30,31,35,37,58,60,62,65,71,72,73,74,75,76,77,78,79,83,84,85,86,87,
89,90,91,92,93,94,95,96,97,98,99,105,107,111,129,130,131,132,136,142,157,158,
159,210,211,212,213,214,215,217,218,219,220,222,226,227,245,252,298,299,302,
303,395,396,403,404,415,416,417,418,419,421,531,539,543,566,568,571,641,646,
966],[1,2,3,4,5,9,12,13,14,15,16,18,19,20,21,25,26,27,28,29,30,31,34,37,57,60,
65,71,72,74,75,76,78,79,83,85,86,87,89,90,91,92,94,95,96,97,99,106,108,112,
129,130,131,132,137,141,157,158,159,209,212,213,215,216,219,222,227,246,252,
296,297,300,301,394,397,405,406,415,416,417,418,419,421,532,539,542,567,569,
570,640,645,967],[1,2,3,4,5,8,9,10,12,13,14,15,16,17,18,19,20,21,27,28,29,30,
32,34,49,57,58,60,62,65,71,72,73,74,75,76,77,78,79,80,83,84,85,88,97,98,99,
100,103,112,115,116,133,137,152,195,203,205,216,217,218,219,220,223,225,232,
238,277,284,310,317,341,346,366,367,388,397,506,511,541,551,602,611,648,653,
968],[1,2,3,4,5,8,9,10,12,13,14,15,16,17,18,19,20,21,22,27,28,29,30,32,35,53,
57,58,59,60,62,65,71,72,73,74,75,76,77,78,79,80,83,84,85,88,97,98,99,101,103,
104,111,114,117,133,135,136,153,196,203,205,216,217,218,219,220,223,225,233,
235,276,283,309,318,341,343,344,358,359,387,389,396,507,512,541,552,603,610,
647,652,969],[1,2,3,4,5,8,9,10,12,13,14,15,16,17,18,19,20,21,22,27,28,29,30,
32,36,53,57,58,59,60,62,65,71,72,73,74,75,76,77,78,79,80,83,84,85,88,97,98,99,
101,103,104,113,119,120,133,135,138,155,196,203,205,216,217,218,219,220,223,
225,233,240,279,285,314,322,341,343,349,372,373,387,389,398,507,517,541,553,
607,612,649,654,970],[1,2,3,4,5,9,12,13,14,15,16,18,19,20,21,25,26,27,28,29,
30,34,49,57,60,65,71,72,74,75,76,78,79,83,85,90,91,92,94,95,96,97,99,112,115,
116,137,152,195,209,212,213,215,216,219,227,238,330,332,346,366,367,397,511,
542,576,586,664,971],[1,2,3,4,5,9,11,12,13,14,15,16,18,19,20,21,23,24,25,26,
27,28,29,30,34,35,50,54,56,57,60,63,65,70,71,72,74,75,76,78,79,83,85,90,91,92,
94,95,96,97,99,105,106,109,110,114,115,118,121,136,140,148,149,151,154,199,
209,212,213,215,216,219,227,236,241,324,325,326,328,331,345,350,354,357,361,
363,364,369,370,393,399,514,519,542,580,581,584,585,661,666,972],[1,2,3,4,5,9,
10,11,12,13,14,15,16,17,18,19,20,21,23,24,25,26,27,28,29,30,34,35,50,54,56,58,
60,62,63,65,70,71,72,73,74,75,76,77,78,79,83,84,85,90,91,92,93,94,95,96,97,98,
99,105,106,109,110,114,115,118,121,137,140,148,149,150,154,199,210,211,212,
213,214,215,217,218,219,220,226,227,237,241,323,324,325,328,331,347,350,354,
357,360,363,364,369,370,392,399,510,519,543,577,579,584,585,662,665,973],[1,2,
3,4,5,9,10,12,13,14,15,16,17,18,19,20,21,23,25,26,27,28,29,30,34,35,48,50,52,
58,60,62,65,66,71,72,73,74,75,76,77,78,79,83,84,85,90,91,92,93,94,95,96,97,98,
99,105,107,108,109,110,114,116,117,118,121,136,140,148,149,151,154,197,210,
211,212,213,214,215,217,218,219,220,226,227,236,241,323,324,326,328,331,344,
352,355,356,357,362,363,364,368,371,395,400,509,518,543,574,578,579,580,582,
584,662,666,974],[1,2,3,4,5,9,12,13,14,15,16,18,19,20,21,23,25,26,27,28,29,30,
34,35,48,50,52,57,60,65,66,71,72,74,75,76,78,79,83,85,90,91,92,94,95,96,97,99,
106,107,108,109,110,115,116,117,118,121,137,140,148,149,150,154,197,209,212,
213,215,216,219,227,237,241,323,325,326,328,331,346,352,354,355,356,363,364,
365,368,371,394,400,513,518,542,575,577,578,581,582,585,661,665,975],[1,2,3,4,
5,9,10,12,13,14,15,16,17,18,19,20,21,22,25,26,27,28,29,30,35,36,53,58,59,60,
62,65,71,72,73,74,75,76,77,78,79,83,84,85,90,91,92,93,94,95,96,97,98,99,111,
113,114,117,119,120,136,138,153,155,196,210,211,212,213,214,215,217,218,219,
220,226,227,235,240,327,329,333,334,344,349,358,359,372,373,396,398,512,517,
543,583,587,588,663,667,976],[1,2,3,4,8,9,10,11,12,16,17,18,19,20,21,23,24,33,
34,35,50,51,52,54,55,56,57,58,60,61,62,63,65,66,67,68,69,70,80,81,82,114,115,
116,117,118,121,126,127,136,137,140,143,144,145,198,199,200,201,202,203,206,
207,208,229,249,288,289,290,291,311,312,313,344,345,346,347,350,352,381,382,
383,411,521,526,545,589,590,592,594,595,597,642,655,977],[1,2,3,4,8,9,10,11,
12,16,17,19,20,22,23,24,33,36,50,51,52,54,55,56,59,60,61,62,63,64,66,67,68,69,
70,80,81,82,119,120,122,125,126,127,138,139,143,146,198,199,200,201,202,204,
206,207,208,230,250,294,295,315,316,348,349,351,353,384,385,410,411,522,527,
545,598,599,600,643,656,978],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,19,20,23,
24,27,32,34,35,50,51,52,54,55,56,60,61,62,63,66,67,68,69,70,80,81,82,83,84,85,
88,105,106,107,108,109,110,128,133,134,136,137,140,147,198,199,200,201,202,
206,207,208,223,244,249,311,312,313,317,318,319,320,392,393,394,395,399,400,
401,402,412,530,533,545,613,614,615,616,655,669,979],[1,2,3,4,8,9,10,11,12,16,
17,19,20,22,23,24,32,36,47,59,60,61,62,63,64,66,67,68,69,70,80,81,82,101,103,
104,119,120,122,135,138,139,147,204,205,206,207,208,221,243,250,278,279,321,
322,348,349,351,353,374,386,389,390,522,528,540,607,608,609,639,668,980],[1,2,
3,4,8,9,10,11,12,16,17,18,19,20,21,23,24,32,34,35,47,57,58,60,61,62,63,65,66,
67,68,69,70,80,81,82,100,101,103,104,114,115,116,117,118,121,133,134,136,137,
140,147,203,205,206,207,208,221,244,249,276,277,280,317,318,319,320,344,345,
346,347,350,352,375,386,387,388,391,521,529,540,601,602,603,604,605,606,638,
669,981],[1,2,3,4,5,8,9,10,11,12,13,14,16,17,19,20,21,23,24,27,28,30,32,33,34,
35,48,50,52,54,55,56,58,60,62,63,66,68,69,70,71,73,78,80,82,83,98,101,102,104,
105,106,107,108,109,114,117,118,124,126,128,133,136,137,144,149,151,154,160,
197,199,200,201,205,208,217,236,239,247,276,280,288,289,290,312,313,317,318,
320,344,347,356,357,362,369,371,379,381,387,393,394,395,401,408,414,509,515,
534,544,557,561,594,595,603,606,613,616,650,658,660,982],[1,2,3,4,5,8,9,10,11,
12,13,14,16,17,19,20,21,23,24,27,28,30,32,33,34,35,50,51,52,54,55,56,58,60,61,
62,63,66,67,68,69,70,71,73,78,80,81,82,83,98,101,102,104,106,108,109,110,114,
117,118,124,126,128,133,136,137,144,148,150,154,160,198,199,200,201,202,206,
207,208,217,237,239,247,277,280,288,290,291,311,313,317,319,320,344,347,360,
363,369,371,379,381,387,392,393,394,401,408,414,510,515,534,545,556,560,590,
595,604,606,614,615,651,657,659,983],[1,2,3,4,5,8,9,10,11,12,13,14,16,17,18,
19,20,23,24,27,29,30,32,33,34,35,48,50,52,54,55,56,57,60,62,63,66,68,69,70,72,
74,76,80,82,83,97,100,102,103,105,106,107,108,110,115,116,121,124,127,128,133,
136,137,144,148,150,154,160,197,199,200,201,205,208,216,237,239,247,277,280,
288,289,291,311,313,317,318,319,345,346,354,355,365,368,370,379,382,388,392,
394,395,401,407,413,513,516,535,544,556,561,589,597,602,605,613,615,651,659,
660,984],[1,2,3,4,5,8,9,10,11,12,13,14,16,17,18,19,20,23,24,27,29,30,32,33,34,
35,50,51,52,54,55,56,57,60,61,62,63,66,67,68,69,70,72,74,76,80,81,82,83,97,
100,102,103,105,107,109,110,115,116,121,124,127,128,133,136,137,144,149,151,
154,160,198,199,200,201,202,206,207,208,216,236,239,247,276,280,289,290,291,
312,313,318,319,320,345,346,361,364,368,370,379,382,388,392,393,395,401,407,
413,514,516,535,545,557,560,592,597,601,605,614,616,650,657,658,985],[1,2,3,4,
5,8,9,10,11,12,13,14,15,25,26,27,28,29,30,32,33,47,80,81,82,83,84,85,88,90,91,
92,93,94,95,96,97,98,99,100,101,102,124,126,127,128,143,144,145,147,160,221,
223,224,225,226,227,229,251,304,306,336,337,338,375,377,378,379,409,411,412,
413,414,524,538,546,572,617,618,619,620,621,671,672,986],[1,2,3,4,5,8,9,10,12,
13,14,15,25,26,27,28,29,30,31,33,37,80,83,84,85,86,87,88,89,90,91,92,93,94,95,
96,97,98,99,102,123,124,129,130,131,132,144,156,157,158,159,222,223,224,225,
226,227,231,252,307,308,339,340,376,379,380,415,416,417,418,419,420,421,525,
539,546,623,624,625,673,674,987],[1,2,3,4,8,9,10,11,12,16,17,19,20,23,24,32,
47,60,61,62,63,66,67,68,69,70,80,81,82,147,205,206,207,208,221,228,281,282,
540,632,988],[1,2,3,4,5,8,9,10,12,13,14,15,16,17,18,19,20,21,27,28,29,30,34,
57,58,60,62,65,71,72,73,74,75,76,77,78,79,80,83,84,85,88,97,98,99,137,152,203,
205,216,217,218,219,220,223,225,238,277,310,330,332,541,648,664,989],[1,2,3,4,
5,8,9,10,12,13,14,15,16,17,18,19,20,21,27,28,29,30,36,57,58,60,62,65,71,72,73,
74,75,76,77,78,79,80,83,84,85,88,97,98,99,138,155,203,205,216,217,218,219,220,
223,225,240,279,314,327,329,541,649,663,990],[1,2,3,4,5,8,9,10,12,13,14,15,16,
17,18,19,20,21,27,28,29,30,35,36,57,58,60,62,65,71,72,73,74,75,76,77,78,79,80,
83,84,85,88,97,98,99,136,138,153,155,203,205,216,217,218,219,220,223,225,235,
240,276,279,309,314,333,334,541,647,649,667,991],[1,2,3,4,8,9,10,11,12,16,17,
19,20,23,24,36,47,60,61,62,63,66,67,68,69,70,80,81,82,138,139,205,206,207,208,
221,250,278,279,315,316,540,639,656,992],[1,2,3,4,5,9,12,13,14,15,16,18,19,20,
21,25,26,27,28,29,30,32,34,57,60,65,71,72,74,75,76,78,79,83,85,90,91,92,94,95,
96,97,99,133,137,152,209,212,213,215,216,219,227,232,238,284,317,330,332,542,
653,664,993],[1,2,3,4,5,9,10,12,13,14,15,16,17,18,19,20,21,25,26,27,28,29,30,
32,35,36,58,60,62,65,71,72,73,74,75,76,77,78,79,83,84,85,90,91,92,93,94,95,96,
97,98,99,133,135,136,138,153,155,210,211,212,213,214,215,217,218,219,220,226,
227,233,235,240,283,285,318,322,327,329,333,334,543,652,654,663,667,994],[1,2,
3,4,8,9,10,11,12,16,17,19,20,23,24,32,33,36,50,51,52,54,55,56,60,61,62,63,66,
67,68,69,70,80,81,82,135,138,139,143,146,147,198,199,200,201,202,206,207,208,
230,243,250,294,295,305,306,315,316,321,322,545,637,643,656,668,995],[1,2,3,4,
8,9,10,11,12,16,17,19,20,23,24,33,36,47,60,61,62,63,66,67,68,69,70,80,81,82,
138,139,143,146,205,206,207,208,221,230,250,278,279,294,295,335,336,540,639,
643,670,996],[1,2,3,4,5,8,9,10,12,13,14,15,16,17,18,19,20,21,27,28,29,30,37,
57,58,60,62,65,71,72,73,74,75,76,77,78,79,80,83,84,85,88,97,98,99,157,158,159,
203,205,216,217,218,219,220,223,225,252,296,297,298,299,307,339,541,640,641,
673,997],[1,2,3,4,5,8,9,10,12,13,14,15,25,26,27,28,29,30,34,35,37,80,83,84,85,
88,90,91,92,93,94,95,96,97,98,99,136,137,141,142,157,158,159,223,224,225,226,
227,245,246,252,280,286,300,301,302,303,307,339,546,636,645,646,673,998],[1,2,
3,4,5,9,12,13,14,15,16,18,19,20,21,25,26,27,28,29,30,33,35,37,57,60,65,71,72,
74,75,76,78,79,83,85,90,91,92,94,95,96,97,99,136,142,144,156,157,158,159,209,
212,213,215,216,219,227,231,245,252,289,292,296,297,302,303,308,340,542,635,
640,646,674,999],[1,2,3,4,5,9,10,12,13,14,15,16,17,18,19,20,21,25,26,27,28,29,
30,33,34,37,58,60,62,65,71,72,73,74,75,76,77,78,79,83,84,85,90,91,92,93,94,95,
96,97,98,99,137,141,144,156,157,158,159,210,211,212,213,214,215,217,218,219,
220,226,227,231,246,252,287,288,298,299,300,301,308,340,543,634,641,645,674,
1000],[1,2,3,4,8,9,10,11,12,18,21,22,23,24,33,57,58,59,61,63,64,65,69,80,81,
125,126,127,143,144,145,146,161,203,204,206,229,230,259,381,382,383,384,385,
410,411,430,431,526,527,677,678,738,1001],[1,2,3,4,8,9,10,11,12,18,21,22,32,
47,57,58,59,64,65,80,81,82,100,101,103,104,133,134,135,147,165,194,203,204,
221,228,243,244,258,374,375,386,387,388,389,390,391,428,429,523,528,529,679,
680,737,1002],[1,2,3,4,5,8,9,10,11,12,13,14,15,27,31,33,47,80,81,82,83,84,85,
86,87,88,89,102,123,124,143,144,145,156,162,221,222,223,229,231,257,376,377,
378,379,380,409,420,432,433,524,525,681,688,736,1003],[1,2,3,4,8,9,10,11,12,
18,21,22,32,47,49,53,57,58,59,65,80,81,82,100,101,103,104,133,134,135,147,165,
195,196,203,221,232,233,244,253,341,343,375,386,387,388,389,391,423,428,506,
507,529,679,687,739,1004],[1,2,3,4,8,9,10,11,12,18,21,22,32,47,53,57,58,59,64,
65,80,81,82,100,101,103,104,133,134,135,147,165,196,203,204,221,233,234,243,
244,254,341,342,343,374,375,386,387,388,389,390,391,422,423,428,429,507,508,
528,529,680,686,687,740,741,1005],[1,2,3,4,5,9,10,12,13,14,16,19,20,21,22,23,
27,28,30,31,35,48,50,52,53,58,59,60,66,71,73,78,83,86,87,89,98,105,107,111,
114,117,136,142,149,151,153,164,196,197,217,222,235,236,245,255,344,356,357,
358,359,362,395,396,403,404,424,425,509,512,531,683,684,742,1006],[1,2,3,4,5,
9,12,13,14,16,18,19,20,23,27,29,30,31,34,48,49,50,52,57,60,66,72,74,76,83,86,
87,89,97,106,108,112,115,116,137,141,148,150,152,163,195,197,216,222,237,238,
246,256,346,354,355,365,366,367,394,397,405,406,426,427,511,513,532,682,685,
743,1007],[1,2,3,4,8,9,10,11,12,34,35,47,80,81,82,136,137,140,163,164,221,249,
255,256,274,275,276,277,280,638,841,842,1008],[1,2,3,4,9,12,16,19,20,23,32,33,
34,35,48,50,52,60,66,133,136,137,144,154,160,162,163,164,165,197,239,247,253,
255,256,257,263,264,265,270,288,289,317,318,660,839,843,844,845,1009],[1,2,3,
4,8,9,10,12,18,21,32,33,57,58,65,80,143,147,160,161,165,203,251,258,259,268,
269,282,306,336,633,838,840,1010],[1,2,4,5,8,10,11,25,26,27,32,33,81,88,90,
102,125,128,135,143,147,224,243,260,268,281,304,337,377,410,412,618,626,689,
706,776,1011],[1,2,4,5,8,10,11,25,26,27,32,33,47,81,88,90,101,102,124,125,128,
143,146,147,224,228,230,267,268,269,304,305,335,337,338,374,377,409,410,412,
572,618,627,690,711,724,749,750,751,1012],[1,2,3,4,5,9,11,13,14,17,18,23,24,
27,32,33,34,35,55,57,63,67,83,109,110,112,121,123,127,128,133,136,137,142,144,
198,232,245,262,264,270,275,283,290,309,312,313,319,320,345,376,382,392,393,
397,401,592,614,629,694,713,718,758,760,772,1013],[1,2,3,4,5,9,10,11,13,14,17,
21,23,24,27,32,33,34,35,55,58,63,67,83,109,110,111,118,123,126,128,133,135,
136,137,141,144,198,233,246,261,265,270,274,284,291,310,311,313,319,320,347,
376,381,392,393,396,401,590,614,628,693,714,719,757,761,771,1014],[1,2,3,4,5,
9,10,11,13,14,17,18,21,23,24,27,32,33,34,35,55,57,58,63,67,83,103,109,110,111,
112,118,121,126,127,128,133,136,137,144,152,153,156,198,231,235,238,263,264,
265,271,274,275,286,287,290,291,292,311,312,313,319,320,341,345,347,381,382,
392,393,396,397,401,590,592,614,630,691,692,710,721,723,753,756,762,763,774,
775,1015],[1,2,3,4,8,9,10,11,12,18,21,32,33,47,57,58,65,80,81,82,100,101,103,
104,133,134,143,146,147,160,203,221,228,230,244,251,267,268,281,282,306,335,
336,375,386,387,388,391,529,632,633,670,695,778,794,1016],[1,2,3,4,8,9,10,11,
12,18,21,23,24,32,33,57,58,61,63,65,69,80,81,126,127,135,143,144,145,146,147,
160,203,206,229,230,243,251,260,267,269,282,305,306,336,381,382,383,411,526,
633,637,697,777,791,1017],[1,2,3,4,5,8,9,10,11,12,13,14,15,27,33,34,35,47,80,
81,82,83,84,85,88,102,124,136,137,140,141,142,143,144,145,221,223,229,245,246,
249,261,262,263,276,277,280,286,377,378,379,409,524,636,638,696,792,793,
1018],[1,2,3,4,8,9,10,11,12,18,21,32,34,35,47,57,58,65,80,81,82,100,101,103,
104,133,134,136,137,140,147,152,153,203,221,235,238,244,249,270,271,276,277,
280,309,310,375,386,387,388,391,529,638,647,648,699,786,787,1019],[1,2,3,4,8,
9,10,11,12,18,21,32,36,47,57,58,65,80,81,82,100,101,103,104,133,134,138,139,
147,155,203,221,240,244,250,272,273,278,279,314,375,386,387,388,391,529,639,
649,698,788,1020],[1,2,3,4,5,9,10,12,13,14,16,19,20,21,23,27,28,30,32,33,34,
35,48,50,52,58,60,66,71,73,78,83,98,105,107,114,117,133,135,136,137,141,144,
149,151,153,154,156,160,197,217,231,233,235,236,239,246,247,261,264,271,275,
283,287,288,289,317,318,344,356,357,362,395,509,634,652,660,701,780,782,785,
790,1021],[1,2,3,4,5,9,12,13,14,16,18,19,20,23,27,29,30,32,33,34,35,48,50,52,
57,60,66,72,74,76,83,97,106,108,115,116,133,136,137,142,144,148,150,152,154,
156,160,197,216,231,232,237,238,239,245,247,262,265,271,274,284,288,289,292,
317,318,346,354,355,365,394,513,635,653,660,700,779,783,784,789,1022],[1,2,3,
4,8,9,10,11,12,18,21,22,23,24,32,33,34,53,57,58,59,61,63,65,69,80,81,101,103,
104,118,126,127,133,135,137,143,144,145,152,196,203,206,229,233,238,265,277,
287,310,319,341,343,347,381,382,383,387,389,411,507,526,593,604,648,702,714,
763,1023],[1,2,3,4,8,9,10,11,12,18,21,23,24,32,33,35,49,57,58,61,63,65,69,80,
81,100,103,121,126,127,133,136,143,144,145,153,195,203,206,229,232,235,264,
276,292,309,320,341,345,381,382,383,388,411,506,526,591,601,647,703,713,762,
1024],[1,2,3,4,8,9,10,11,12,18,21,22,23,24,32,33,36,53,57,58,59,61,63,65,69,
80,81,101,103,104,122,126,127,133,135,138,143,144,145,155,196,203,206,229,233,
240,266,279,293,314,321,341,343,348,381,382,383,387,389,411,507,526,596,608,
649,704,715,764,1025],[1,2,3,4,5,9,10,11,12,13,14,16,19,20,21,22,23,24,27,28,
30,33,34,35,50,53,54,56,58,59,60,63,70,71,73,78,83,98,110,111,114,117,118,126,
136,137,141,144,148,150,153,156,196,199,217,231,235,237,246,263,274,287,288,
290,310,313,344,347,358,359,360,363,381,392,396,510,512,593,595,634,720,721,
761,774,1026],[1,2,3,4,5,9,11,12,13,14,16,18,19,20,23,24,27,29,30,33,34,35,49,
50,54,56,57,60,63,70,72,74,76,83,97,109,112,115,116,121,127,136,137,142,144,
149,151,152,156,195,199,216,231,236,238,245,263,275,289,291,292,309,313,345,
346,361,364,366,367,382,393,397,511,514,591,597,635,722,723,760,775,1027],[1,
2,3,4,5,9,11,12,13,14,16,18,19,20,23,24,27,29,30,31,32,34,35,50,54,56,57,60,
63,70,72,74,76,83,86,87,89,97,106,108,109,110,112,121,128,133,136,137,141,149,
151,152,199,216,222,232,236,238,246,270,274,283,284,286,311,317,319,345,361,
364,392,393,394,397,401,405,406,514,532,565,615,653,716,719,756,758,1028],[1,
2,3,4,5,9,10,11,12,13,14,16,19,20,21,23,24,27,28,30,31,32,34,35,50,54,56,58,
60,63,70,71,73,78,83,86,87,89,98,105,107,109,110,111,118,128,133,135,136,137,
142,148,150,153,199,217,222,233,235,237,245,270,275,283,284,286,312,318,320,
347,360,363,392,393,395,396,401,403,404,510,531,565,616,652,717,718,753,757,
1029],[1,2,3,4,5,9,10,12,13,14,16,18,19,20,21,23,27,28,29,30,32,33,34,35,48,
50,52,57,58,60,66,71,72,73,74,76,78,83,97,98,103,105,106,107,108,111,112,114,
115,116,117,123,133,136,137,144,148,149,150,151,154,160,197,216,217,236,237,
239,247,263,270,274,275,283,284,286,287,288,289,292,309,310,317,318,341,344,
346,354,355,356,357,362,365,376,394,395,396,397,509,513,563,564,610,611,660,
716,717,720,722,754,755,766,770,1030],[1,2,3,4,5,8,9,10,11,12,13,14,15,27,32,
33,47,80,81,82,83,84,85,88,100,101,102,124,143,144,145,146,147,194,221,223,
228,229,230,269,335,336,337,374,375,377,378,379,409,523,524,573,617,670,711,
712,749,1031],[1,2,3,4,5,8,9,10,11,12,13,14,15,22,27,32,33,47,59,64,80,81,82,
83,84,85,88,101,102,103,104,124,128,135,143,144,145,147,204,221,223,228,229,
243,268,281,282,304,305,374,377,378,379,386,389,390,409,412,524,528,554,555,
632,705,706,750,1032],[1,2,3,4,5,8,9,10,11,12,13,14,15,22,23,24,27,32,33,59,
61,63,64,69,80,81,83,84,85,88,102,125,126,127,128,133,134,135,143,146,147,204,
206,223,230,243,244,268,269,281,305,306,337,338,377,384,385,401,402,410,411,
412,527,530,555,621,637,707,724,751,776,1033],[1,2,3,4,5,8,9,10,11,12,13,14,
15,23,24,27,31,32,33,34,35,61,63,69,80,81,83,84,85,86,87,88,89,102,109,110,
123,124,128,133,134,136,137,141,142,144,147,156,206,222,223,231,244,245,246,
264,265,280,283,284,286,290,291,376,379,380,392,393,401,402,412,420,525,530,
560,565,636,708,710,771,772,1034],[1,2,3,4,5,8,9,10,11,12,13,14,15,18,21,27,
32,33,34,35,47,57,58,65,80,81,82,83,84,85,88,100,101,102,103,104,111,112,124,
133,134,136,137,140,143,144,145,147,203,221,223,229,244,249,264,265,276,277,
280,283,284,287,292,375,377,378,379,386,387,388,391,396,397,409,524,529,551,
552,559,638,702,703,708,767,768,1035],[1,2,3,4,5,8,9,10,11,12,13,14,15,22,27,
32,33,36,47,59,64,80,81,82,83,84,85,88,101,102,103,104,113,124,135,138,139,
143,144,145,147,204,221,223,229,243,250,266,278,279,285,293,374,377,378,379,
386,389,390,398,409,524,528,553,558,639,704,709,769,1036],[1,2,3,4,8,9,10,11,
12,18,21,23,24,32,33,47,57,58,61,63,65,69,80,81,82,100,101,103,104,125,126,
127,133,134,143,144,145,147,160,203,206,221,229,244,251,268,269,281,282,305,
306,335,336,374,375,381,382,383,386,387,388,391,410,411,526,529,548,549,622,
633,705,707,712,752,773,1037],[1,2,3,4,5,8,9,10,11,12,13,14,15,27,33,47,80,81,
82,83,84,85,88,102,124,143,144,145,146,221,223,229,230,335,336,377,378,379,
409,524,670,832,1038],[1,2,3,4,8,9,10,11,12,18,21,23,24,33,35,57,58,61,63,65,
69,80,81,126,127,136,143,144,145,153,203,206,229,235,276,309,381,382,383,411,
526,647,811,1039],[1,2,3,4,8,9,10,11,12,18,21,23,24,33,36,57,58,61,63,65,69,
80,81,126,127,138,143,144,145,155,203,206,229,240,279,314,381,382,383,411,526,
649,808,1040],[1,2,3,4,8,9,10,11,12,18,21,23,24,33,34,36,57,58,61,63,65,69,80,
81,126,127,137,138,143,144,145,152,155,203,206,229,238,240,277,279,310,314,
381,382,383,411,526,648,649,812,1041],[1,2,3,4,8,9,10,12,18,21,22,32,33,36,53,
57,58,59,65,80,101,103,104,133,135,138,143,147,155,160,196,203,233,240,251,
279,282,306,314,336,341,343,387,389,507,633,649,798,804,1042],[1,2,3,4,8,9,10,
12,18,21,22,32,33,34,53,57,58,59,65,80,101,103,104,133,135,137,143,147,152,
160,196,203,233,238,251,277,282,306,310,336,341,343,387,389,507,633,648,797,
806,1043],[1,2,3,4,8,9,10,12,18,21,22,32,33,35,53,57,58,59,65,80,101,103,104,
133,135,136,143,147,153,160,196,203,233,235,251,276,282,306,309,336,341,343,
387,389,507,633,647,796,805,1044],[1,2,3,4,8,9,10,12,18,21,32,33,36,49,57,58,
65,80,100,103,133,138,143,147,155,160,195,203,232,240,251,279,282,306,314,336,
341,388,506,633,649,799,807,1045],[1,2,3,4,8,9,10,11,12,18,21,32,35,36,47,57,
58,65,80,81,82,100,101,103,104,133,134,136,138,147,153,155,203,221,235,240,
244,276,279,309,314,375,386,387,388,391,529,647,649,801,816,1046],[1,2,3,4,8,
9,10,11,12,18,21,32,34,36,47,57,58,65,80,81,82,100,101,103,104,133,134,137,
138,147,152,155,203,221,238,240,244,277,279,310,314,375,386,387,388,391,529,
648,649,800,815,1047],[1,2,3,4,8,9,10,11,12,22,32,34,35,36,47,59,64,80,81,82,
101,103,104,135,136,137,138,139,140,147,204,221,243,249,250,276,277,278,279,
280,374,386,389,390,528,638,639,815,816,1048],[1,2,3,4,8,9,10,11,12,18,21,32,
36,47,57,58,65,80,81,82,100,101,103,104,133,134,138,139,147,203,221,228,244,
250,278,279,281,282,375,386,387,388,391,529,632,639,804,807,1049],[1,2,3,4,8,
9,10,11,12,22,32,34,35,47,59,64,80,81,82,101,103,104,135,136,137,140,147,204,
221,228,243,249,276,277,280,281,282,374,386,389,390,528,632,638,805,806,
1050],[1,2,3,4,5,8,9,10,11,12,13,14,15,23,24,27,32,36,61,63,69,80,81,83,84,85,
88,128,133,134,138,139,147,206,223,244,250,315,316,401,402,412,530,656,831,
1051],[1,2,3,4,8,9,10,11,12,18,21,23,24,33,36,57,58,61,63,65,69,80,81,126,127,
138,139,143,144,145,203,206,229,250,315,316,381,382,383,411,526,656,809,810,
1052],[1,2,3,4,8,9,10,11,12,22,23,24,33,34,35,36,59,61,63,64,69,80,81,125,126,
127,136,137,138,139,140,143,146,204,206,230,249,250,311,312,313,315,316,384,
385,410,411,527,655,656,813,814,1053],[1,2,3,4,5,9,10,12,13,14,16,19,20,21,23,
27,28,30,35,36,37,48,50,52,58,60,66,71,73,78,83,98,105,107,114,117,136,138,
149,151,155,157,158,159,197,217,236,240,252,298,299,327,329,344,356,357,362,
395,509,641,663,822,824,1054],[1,2,3,4,5,9,10,11,12,13,14,16,19,20,21,23,24,
27,28,30,34,36,37,50,54,56,58,60,63,70,71,73,78,83,98,110,118,137,138,148,150,
155,157,158,159,199,217,237,240,252,298,299,327,329,347,360,363,392,510,641,
663,825,1055],[1,2,3,4,5,9,12,13,14,16,18,19,20,27,29,30,34,35,37,49,57,60,72,
74,76,83,97,112,115,116,137,140,148,149,152,154,157,158,159,195,216,238,241,
252,296,297,325,326,331,346,366,367,397,511,640,661,820,821,1056],[1,2,3,4,5,
9,10,12,13,14,16,19,20,21,22,27,28,30,34,35,37,53,58,59,60,71,73,78,83,98,111,
114,117,136,140,148,149,153,154,157,158,159,196,217,235,241,252,298,299,323,
324,328,344,358,359,396,512,641,662,818,819,1057],[1,2,3,4,5,9,11,12,13,14,16,
18,19,20,23,24,27,29,30,34,35,37,50,54,56,57,60,63,70,72,74,76,83,97,109,121,
136,137,149,151,152,157,158,159,199,216,236,238,252,296,297,330,332,345,361,
364,393,514,640,664,826,1058],[1,2,3,4,5,9,12,13,14,16,18,19,20,23,27,29,30,
34,37,48,50,52,57,60,66,72,74,76,83,97,106,108,115,116,137,148,150,152,157,
158,159,197,216,237,238,252,296,297,330,332,346,354,355,365,394,513,640,664,
817,823,1059],[1,2,3,4,5,9,12,13,14,16,18,19,20,27,29,30,31,34,35,57,60,72,74,
76,83,86,87,89,97,106,108,112,137,140,141,148,149,152,154,216,222,238,241,246,
325,326,330,331,332,394,397,405,406,532,661,664,827,828,1060],[1,2,3,4,5,9,10,
12,13,14,16,19,20,21,27,28,30,31,34,35,36,58,60,71,73,78,83,86,87,89,98,105,
107,111,136,138,140,142,148,149,154,155,217,222,240,241,245,323,324,327,328,
329,395,396,403,404,531,662,663,829,830,1061],[1,2,3,4,5,8,9,10,11,12,13,14,
15,27,33,36,47,80,81,82,83,84,85,88,102,124,138,139,143,144,145,221,223,229,
250,278,279,377,378,379,409,524,639,795,1062],[1,2,3,4,8,9,10,11,12,18,21,32,
33,36,47,57,58,65,80,81,82,100,101,103,104,133,134,138,139,143,146,147,203,
221,230,244,250,278,279,335,336,375,386,387,388,391,529,639,670,798,799,
1063],[1,2,3,4,8,9,10,11,12,22,32,33,34,35,47,59,64,80,81,82,101,103,104,135,
136,137,140,143,146,147,204,221,230,243,249,276,277,280,335,336,374,386,389,
390,528,638,670,796,797,1064],[1,2,3,4,5,8,9,10,11,12,13,14,15,27,32,33,36,47,
80,81,82,83,84,85,88,102,124,138,139,143,144,145,147,221,223,228,229,250,278,
279,281,282,377,378,379,409,524,632,639,802,1065],[1,2,3,4,8,9,10,11,12,32,34,
35,36,47,80,81,82,100,101,136,137,138,139,140,147,194,221,228,249,250,276,277,
278,279,280,374,375,523,638,639,800,801,1066],[1,2,3,4,5,8,9,10,11,12,13,14,
15,23,24,27,32,37,61,63,69,80,81,83,84,85,88,128,133,134,147,157,158,159,206,
223,244,252,307,339,401,402,412,530,673,803,1067],[1,2,3,4,5,8,9,10,11,12,13,
14,15,27,33,37,47,80,81,82,83,84,85,88,102,124,143,144,145,157,158,159,221,
223,229,252,307,339,377,378,379,409,524,673,833,835,1068],[1,2,3,4,5,8,9,10,
12,13,14,15,27,31,32,33,37,80,83,84,85,86,87,88,89,102,123,124,143,144,147,
156,157,158,159,160,222,223,231,251,252,304,307,337,338,339,376,379,380,420,
525,671,673,834,836,1069],[1,2,3,4,8,9,10,11,12,16,17,19,20,23,24,34,35,47,60,
61,62,63,66,67,68,69,70,80,81,82,136,137,140,148,149,150,151,154,205,206,207,
208,221,236,237,239,241,242,249,276,277,280,311,312,313,540,638,650,651,655,
676,1070],[1,2,3,4,5,8,9,10,12,13,14,15,16,17,18,19,20,21,27,28,29,30,34,35,
57,58,60,62,65,71,72,73,74,75,76,77,78,79,80,83,84,85,88,97,98,99,136,137,140,
148,149,150,151,154,203,205,216,217,218,219,220,223,225,236,237,239,241,242,
249,323,324,325,326,328,331,541,661,662,665,666,676,1071],[1,2,3,4,8,9,10,11,
12,16,17,19,20,23,24,32,33,34,35,48,50,52,54,55,56,60,62,63,66,68,69,70,80,82,
133,134,136,137,140,143,144,145,147,148,149,150,151,154,160,197,199,200,201,
205,208,229,236,237,239,241,242,244,247,248,249,251,288,289,290,291,317,318,
319,320,544,642,657,658,659,660,669,675,676,1072],[1,2,3,4,5,8,9,10,12,13,14,
15,16,17,18,19,20,21,27,28,29,30,32,33,57,58,60,62,65,71,72,73,74,75,76,77,78,
79,80,83,84,85,88,97,98,99,133,134,143,144,145,147,160,203,205,216,217,218,
219,220,223,225,229,244,247,248,251,282,304,306,336,337,338,541,633,644,671,
672,675,1073],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,18,19,20,21,23,24,27,28,
29,30,32,33,47,57,58,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,
80,81,82,83,84,85,88,97,98,99,100,101,102,103,104,124,126,127,128,133,134,143,
144,145,147,160,203,205,206,207,208,216,217,218,219,220,221,223,225,229,244,
247,248,251,375,377,378,379,381,382,383,386,387,388,391,401,402,407,408,409,
411,412,413,414,524,526,529,530,534,535,536,537,538,540,541,675,1074],[1,2,3,
4,5,8,9,10,11,12,13,14,15,16,17,18,19,20,21,23,24,27,28,29,30,34,35,48,50,52,
54,55,56,57,58,60,62,63,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,82,83,84,
85,88,97,98,99,105,106,107,108,109,110,114,115,116,117,118,121,136,137,140,
148,149,150,151,154,197,199,200,201,203,205,208,216,217,218,219,220,223,225,
236,237,239,241,242,249,344,345,346,347,350,352,354,355,356,357,360,361,362,
363,364,365,368,369,370,371,392,393,394,395,399,400,509,510,513,514,515,516,
518,519,520,521,533,541,544,676,1075],[1,2,5,8,27,31,33,47,88,89,123,124,143,
156,162,194,335,409,420,433,573,681,832,1076],[1,2,3,4,9,11,18,22,23,33,35,49,
57,63,64,121,125,127,136,144,146,161,195,292,309,345,382,385,431,591,677,811,
1077],[1,2,3,4,9,11,12,16,18,19,20,22,23,24,33,34,36,52,56,57,60,63,64,68,115,
116,119,122,125,127,137,139,144,146,161,200,288,294,311,315,346,351,382,385,
431,589,598,677,809,814,1078],[1,2,3,4,9,10,11,21,22,23,24,33,34,36,53,58,59,
61,63,64,118,122,125,126,127,137,138,144,145,146,161,196,287,293,310,314,347,
348,381,383,384,385,430,431,593,596,678,808,812,1079],[1,2,3,4,9,10,11,17,21,
22,23,24,33,34,36,55,58,61,63,64,67,118,120,122,125,126,127,137,139,144,145,
146,161,198,291,295,311,315,347,353,381,383,384,385,430,431,590,599,678,810,
814,1080],[1,2,3,4,9,10,11,12,16,19,20,21,22,23,24,33,35,36,52,56,58,60,61,63,
64,68,114,117,119,122,125,126,127,136,139,144,145,146,161,200,289,294,312,315,
344,351,381,383,384,385,430,431,594,598,678,810,813,1081],[1,2,3,4,9,11,17,18,
22,23,24,33,35,36,55,57,63,64,67,120,121,122,125,127,136,139,144,146,161,198,
290,295,312,315,345,353,382,385,431,592,599,677,809,813,1082],[1,2,3,4,5,8,9,
10,11,12,13,14,15,18,21,22,27,32,34,36,57,58,59,80,81,83,84,85,88,100,101,103,
104,112,113,128,133,134,135,137,138,147,165,223,277,279,282,284,285,304,341,
343,386,388,389,391,397,398,412,423,428,551,553,554,687,806,807,815,1083],[1,
2,3,4,5,8,9,10,11,12,13,14,15,21,22,27,32,35,36,58,59,80,81,83,84,85,88,101,
103,104,111,113,128,133,134,135,136,138,147,165,223,276,279,282,283,285,304,
342,343,386,387,389,390,396,398,412,422,423,429,552,553,554,686,804,805,816,
1084],[1,2,3,4,8,9,10,11,12,16,17,19,20,21,22,32,33,35,36,58,59,60,62,80,81,
101,103,104,114,117,119,120,126,127,133,134,135,136,138,143,147,165,205,276,
279,306,318,322,336,342,343,344,349,386,387,389,390,411,422,423,429,550,603,
607,686,796,798,816,1085],[1,2,3,4,8,9,10,11,12,16,17,18,19,20,21,22,32,33,34,
36,57,58,59,60,62,80,81,100,101,103,104,115,116,119,120,126,127,133,134,135,
137,138,143,147,165,205,277,279,306,317,322,336,341,343,346,349,386,388,389,
391,411,423,428,550,602,607,687,797,799,815,1086],[1,2,3,4,8,9,10,11,12,18,21,
22,23,24,32,33,35,36,57,58,59,61,63,69,80,81,100,101,103,104,121,122,125,133,
134,135,136,138,143,147,165,206,276,279,305,320,321,336,341,343,345,348,386,
388,389,391,410,423,428,549,601,608,687,796,799,816,1087],[1,2,3,4,8,9,10,11,
12,21,22,23,24,32,33,34,36,58,59,61,63,69,80,81,101,103,104,118,122,125,133,
134,135,137,138,143,147,165,206,277,279,305,319,321,336,342,343,347,348,386,
387,389,390,410,422,423,429,549,604,608,686,797,798,815,1088],[1,2,3,4,8,9,10,
12,16,17,18,19,20,22,32,34,36,47,57,59,60,62,80,100,101,103,115,116,119,120,
133,135,137,138,147,165,205,277,279,282,317,322,346,349,375,388,389,428,547,
602,607,679,800,806,807,1089],[1,2,3,4,8,9,10,11,12,18,22,23,24,32,35,36,47,
57,59,61,63,69,80,81,100,101,103,121,122,133,135,136,138,147,165,206,276,279,
281,282,320,321,345,348,374,375,388,389,428,548,601,608,679,801,805,807,
1090],[1,2,3,4,8,9,10,11,12,21,22,23,24,32,34,36,47,58,59,61,63,69,80,81,100,
101,103,104,118,122,133,134,135,137,138,147,165,206,277,279,281,282,319,321,
347,348,374,375,387,389,390,391,428,429,548,604,608,680,800,804,806,1091],[1,
2,3,4,8,9,10,11,12,16,17,19,20,21,22,32,35,36,47,58,59,60,62,80,81,100,101,
103,104,114,117,119,120,133,134,135,136,138,147,165,205,276,279,282,318,322,
344,349,374,375,387,389,390,391,428,429,547,603,607,680,801,804,805,1092],[1,
3,5,14,16,18,25,29,31,34,37,48,49,74,86,92,108,112,116,129,131,141,148,152,
159,163,209,296,300,325,330,355,367,406,416,426,567,575,576,682,820,823,827,
1093],[1,3,4,5,13,14,15,16,18,19,20,21,22,23,26,28,29,30,31,35,36,37,50,53,71,
73,74,75,76,87,91,96,105,107,109,111,113,114,117,119,121,129,132,142,149,151,
153,155,158,164,212,298,302,324,326,329,334,357,358,359,362,364,373,403,404,
415,424,425,566,580,583,684,819,824,829,1094],[1,3,4,5,14,16,18,20,23,25,29,
30,31,34,35,37,49,50,72,74,86,92,106,108,109,112,115,116,121,129,131,141,148,
149,150,152,159,163,209,296,300,326,330,331,354,364,365,366,367,405,406,416,
426,427,567,576,581,685,817,821,828,1095],[1,3,4,5,13,14,15,16,18,20,21,26,28,
29,30,31,34,35,37,48,49,71,72,74,79,86,94,96,107,108,112,115,116,117,130,132,
141,148,149,152,159,163,213,296,301,326,328,330,332,355,356,366,367,406,417,
426,569,578,586,682,821,823,828,1096],[1,3,4,5,13,15,16,17,21,22,25,28,30,31,
35,36,37,48,53,71,77,87,95,107,111,113,117,120,130,131,142,149,153,155,158,
164,210,298,303,324,329,333,356,358,372,404,418,424,568,574,587,683,819,822,
829,1097],[1,3,4,5,13,14,15,16,18,19,21,22,26,29,30,31,34,35,36,37,48,53,71,
74,75,76,87,91,96,107,108,111,113,116,117,119,129,132,142,148,149,153,155,158,
164,212,298,302,323,329,331,334,355,356,358,373,404,415,424,566,582,583,683,
818,822,830,1098],[1,3,4,5,13,15,16,17,20,21,22,23,25,28,30,31,34,35,36,37,50,
53,71,73,77,87,95,105,107,110,111,113,114,117,118,120,130,131,142,148,149,151,
153,155,158,164,210,298,303,323,328,329,333,357,358,359,362,363,372,403,404,
418,424,425,568,579,587,684,818,824,830,1099],[1,3,4,5,13,14,15,16,18,20,21,
23,26,28,29,30,31,34,37,49,50,71,72,74,79,86,94,96,106,108,110,112,115,116,
118,130,132,141,148,150,152,159,163,213,296,301,323,325,330,332,354,363,365,
366,367,405,406,417,426,427,569,577,586,685,817,820,827,1100],[1,2,4,5,8,10,
11,15,22,27,31,32,33,36,59,64,81,84,88,89,102,113,123,124,128,138,143,145,147,
156,162,204,278,281,293,305,377,378,380,398,412,420,432,433,555,558,688,795,
802,1101],[1,2,3,4,5,8,9,10,12,13,14,15,18,22,27,32,33,34,36,47,57,59,80,83,
84,85,88,100,101,103,112,113,124,133,135,137,138,143,147,165,223,277,279,284,
285,336,337,375,388,389,397,398,409,428,551,553,617,679,797,799,800,1102],[1,
2,3,4,5,8,9,10,11,12,13,14,15,21,22,27,32,33,35,36,47,58,59,80,81,83,84,85,88,
100,101,103,104,111,113,124,133,134,135,136,138,143,147,165,223,276,279,283,
285,336,337,374,375,387,389,390,391,396,398,409,428,429,552,553,617,680,796,
798,801,1103],[1,2,3,4,5,8,9,10,12,27,28,29,30,31,32,33,37,47,80,88,89,97,98,
99,100,101,123,124,129,130,143,147,156,157,162,225,304,306,308,339,375,409,
419,420,433,619,623,681,834,835,1104],[1,2,3,4,5,8,9,10,11,12,15,27,28,29,30,
31,33,37,80,81,84,88,89,97,98,99,102,123,124,126,127,129,130,143,145,156,157,
162,225,308,336,338,339,377,378,380,411,419,420,432,433,620,623,688,833,836,
1105],[1,2,4,5,8,10,11,15,25,26,27,31,32,33,37,81,84,88,89,90,102,123,124,128,
131,132,143,145,147,156,157,162,224,304,337,339,340,377,378,380,412,420,421,
432,433,618,625,688,833,834,1106],[1,2,5,8,25,26,27,31,33,37,47,88,89,90,123,
124,131,132,143,156,157,162,224,338,339,340,409,420,421,433,572,625,681,835,
836,1107],[1,2,3,4,9,11,18,22,23,32,33,35,57,63,64,125,127,133,136,144,146,
161,232,264,309,320,382,385,431,677,713,811,1108],[1,2,3,4,9,10,11,21,22,23,
24,32,33,34,36,58,61,63,64,125,126,127,133,135,137,138,144,145,146,161,233,
265,266,310,314,319,321,381,383,384,385,430,431,678,714,715,808,812,1109],[1,
2,3,4,8,9,10,11,12,18,21,22,32,33,35,36,57,58,59,80,81,100,101,103,104,133,
134,135,136,138,143,144,145,147,165,229,264,266,268,276,279,282,292,293,305,
341,343,386,388,389,391,423,428,687,703,704,705,805,807,816,1110],[1,2,3,4,8,
9,10,11,12,21,22,32,33,34,36,58,59,80,81,101,103,104,133,134,135,137,138,143,
144,145,147,165,229,265,266,268,277,279,282,287,293,305,342,343,386,387,389,
390,422,423,429,686,702,704,705,804,806,815,1111],[1,2,5,8,27,31,32,33,47,88,
89,123,124,143,147,156,162,228,269,335,337,409,420,433,681,711,832,1112],[1,2,
4,5,8,10,11,15,27,31,32,33,36,81,84,88,89,102,123,124,135,138,143,145,147,156,
162,243,266,268,278,281,285,304,377,378,380,420,432,433,688,706,709,795,802,
1113],[1,2,3,4,8,9,10,12,18,22,32,33,35,36,47,57,59,80,100,101,103,133,135,
136,138,143,144,145,147,165,229,264,266,269,276,279,292,293,335,336,375,388,
389,428,679,703,704,712,796,799,801,1114],[1,2,3,4,8,9,10,11,12,21,22,32,33,
34,36,47,58,59,80,81,100,101,103,104,133,134,135,137,138,143,144,145,147,165,
229,265,266,269,277,279,287,293,335,336,374,375,387,389,390,391,428,429,680,
702,704,712,797,798,800,1115],[1,2,3,4,8,9,10,11,12,18,21,22,32,47,57,58,59,
80,81,100,101,103,104,133,134,135,147,165,228,232,233,234,243,244,253,254,258,
341,342,343,374,375,386,387,388,389,390,391,422,423,428,429,679,680,686,687,
737,739,740,741,744,1116],[1,2,3,4,8,9,10,12,18,21,32,33,35,36,57,58,65,80,
136,138,143,147,153,155,160,203,235,240,251,276,279,282,306,309,314,336,633,
647,649,1117],[1,2,3,4,8,9,10,12,18,21,32,33,34,36,57,58,65,80,137,138,143,
147,152,155,160,203,238,240,251,277,279,282,306,310,314,336,633,648,649,
1118],[1,2,3,4,8,9,10,12,18,21,32,33,36,57,58,65,80,138,143,147,155,160,203,
240,251,279,282,306,314,336,633,649,1119],[1,2,3,4,8,9,10,12,18,21,32,33,34,
35,57,58,65,80,136,137,143,147,152,153,160,203,235,238,251,276,277,282,306,
309,310,336,633,647,648,1120],[1,2,3,4,8,9,10,11,12,32,34,35,36,47,80,81,82,
136,137,138,139,140,147,221,228,249,250,276,277,278,279,280,281,282,632,638,
639,1121],[1,2,3,4,8,9,10,11,12,34,35,36,47,80,81,82,136,137,138,139,140,221,
249,250,276,277,278,279,280,638,639,1122],[1,2,3,4,5,9,10,12,13,14,16,19,20,
21,27,28,30,33,34,35,36,58,60,71,73,78,83,98,137,138,140,141,144,148,149,154,
155,156,217,231,240,241,246,287,288,323,324,327,328,329,634,662,663,1123],[1,
2,3,4,5,9,12,13,14,16,18,19,20,27,29,30,33,34,35,57,60,72,74,76,83,97,136,137,
140,142,144,148,149,152,154,156,216,231,238,241,245,289,292,325,326,330,331,
332,635,661,664,1124],[1,2,3,4,8,9,10,11,12,23,24,32,33,34,35,36,61,63,69,80,
81,135,136,137,138,139,140,143,146,147,206,230,243,249,250,305,306,311,312,
313,315,316,637,655,656,1125],[1,2,3,4,5,9,10,12,13,14,16,19,20,21,27,28,30,
32,34,35,37,58,60,71,73,78,83,98,133,135,136,140,148,149,153,154,157,158,159,
217,233,235,241,252,283,298,299,318,323,324,328,641,652,662,1126],[1,2,3,4,5,
9,12,13,14,16,18,19,20,27,29,30,32,34,35,37,57,60,72,74,76,83,97,133,137,140,
148,149,152,154,157,158,159,216,232,238,241,252,284,296,297,317,325,326,331,
640,653,661,1127],[1,2,3,4,8,9,10,11,12,32,33,34,35,47,80,81,82,136,137,140,
143,146,147,221,228,230,249,276,277,280,281,282,335,336,632,638,670,1128],[1,
2,3,4,8,9,10,11,12,33,34,35,36,47,80,81,82,136,137,138,139,140,143,146,221,
230,249,250,276,277,278,279,280,335,336,638,639,670,1129],[1,2,3,4,5,8,9,10,
12,13,14,15,27,32,33,34,35,37,80,83,84,85,88,136,137,141,142,143,147,157,158,
159,160,223,245,246,251,252,280,286,304,307,337,338,339,636,671,673,1130],[1,
2,3,4,8,9,10,11,12,16,17,19,20,32,33,47,60,62,80,81,100,101,103,104,126,127,
133,134,135,143,144,145,147,160,165,205,228,229,243,244,247,248,251,258,267,
268,269,282,305,306,335,336,374,375,386,411,428,429,547,550,675,695,705,712,
737,752,778,791,838,1131],[1,2,3,4,8,9,10,11,12,16,17,19,20,32,33,60,62,80,81,
103,104,125,126,127,133,134,143,144,145,146,147,160,161,205,229,230,244,247,
248,251,259,260,267,268,269,281,305,306,336,386,410,411,430,431,550,675,697,
707,738,773,777,794,840,1132],[1,2,3,4,5,8,9,10,12,13,14,16,17,19,20,27,32,33,
34,35,60,62,80,83,102,105,106,107,108,123,124,133,134,136,137,143,144,145,147,
156,160,162,205,229,231,244,247,248,251,257,261,262,263,264,265,280,283,284,
288,289,376,379,394,395,432,433,561,675,696,708,736,770,789,790,839,1133],[1,
2,3,4,8,9,10,12,16,17,18,19,20,21,32,33,34,35,57,58,60,62,80,100,101,103,104,
114,115,116,117,133,134,135,136,137,143,144,145,147,160,165,205,229,232,233,
244,247,248,251,253,264,265,270,271,276,277,287,292,317,318,341,344,346,387,
388,423,428,602,603,675,699,702,703,739,766,779,780,845,1134],[1,2,3,4,8,9,10,
12,16,17,19,20,22,32,33,36,59,60,62,80,101,103,104,119,120,133,134,135,138,
143,144,145,147,160,165,205,229,234,244,247,248,251,254,266,272,273,279,293,
322,342,349,389,423,429,607,675,698,704,740,765,781,846,1135],[1,2,3,4,5,8,9,
10,12,13,14,16,17,18,19,20,27,32,33,34,35,57,60,62,80,83,100,102,103,105,106,
107,108,112,115,116,124,133,136,137,140,141,144,148,149,150,151,152,154,163,
205,236,237,238,239,241,242,246,249,256,262,263,265,270,271,274,275,277,280,
283,286,288,289,292,309,317,346,379,388,394,395,397,426,427,561,602,676,700,
716,722,743,755,767,782,784,786,792,842,844,1136],[1,2,3,4,5,8,9,10,12,13,14,
16,17,19,20,21,27,32,33,34,35,58,60,62,80,83,101,102,104,105,106,107,108,111,
114,117,124,133,136,137,140,142,144,148,149,150,151,153,154,164,205,235,236,
237,239,241,242,245,249,255,261,263,264,270,271,274,275,276,280,284,286,287,
288,289,310,318,344,379,387,394,395,396,424,425,561,603,676,701,717,720,742,
754,768,783,785,787,793,841,843,1137],[1,2,3,4,5,8,9,10,11,12,27,28,29,30,32,
33,80,81,88,97,98,99,102,126,127,133,134,135,143,147,160,161,225,243,244,251,
259,267,268,269,281,282,304,305,306,336,337,338,377,411,620,644,690,695,706,
707,726,791,840,1138],[1,2,3,4,5,8,9,10,11,12,27,28,29,30,32,33,80,81,88,97,
98,99,103,104,126,127,128,133,134,143,144,145,146,147,160,165,225,229,230,244,
251,258,260,267,268,269,281,282,304,305,306,336,337,338,386,411,412,562,644,
672,689,690,695,697,705,707,724,729,777,794,838,1139],[1,2,3,4,9,10,11,12,16,
19,20,21,23,24,32,33,34,35,52,56,58,60,63,68,114,117,126,133,135,136,137,144,
148,150,160,162,200,233,237,247,257,262,263,264,265,271,274,287,288,289,291,
310,312,317,319,344,381,594,659,692,700,714,720,728,780,839,1140],[1,2,3,4,9,
11,12,16,18,19,20,23,24,32,33,34,35,52,56,57,60,63,68,115,116,127,133,136,137,
144,149,151,160,162,200,232,236,247,257,261,263,264,265,271,275,288,289,290,
292,309,311,318,320,346,382,589,658,691,701,713,722,727,779,839,1141],[1,2,3,
4,5,8,9,10,11,12,13,14,16,19,20,23,24,27,32,33,34,35,60,63,66,68,69,70,80,82,
83,102,105,107,109,124,133,134,136,137,140,141,144,147,148,150,154,164,208,
237,239,244,246,249,255,262,263,264,265,270,271,274,275,276,277,280,283,284,
286,289,290,311,313,317,318,319,320,379,393,395,557,651,669,691,694,699,700,
708,717,719,732,782,792,841,843,1142],[1,2,3,4,5,8,9,10,11,12,13,14,16,19,20,
23,24,27,32,33,34,35,60,63,66,68,69,70,80,82,83,102,106,108,110,124,133,134,
136,137,140,142,144,147,149,151,154,163,208,236,239,244,245,249,256,261,263,
264,265,270,271,274,275,276,277,280,283,284,286,288,291,312,313,317,318,319,
320,379,392,394,556,650,669,692,693,699,701,708,716,718,733,783,793,842,844,
1143],[1,2,3,4,5,9,11,12,13,14,16,19,20,23,24,27,32,33,34,35,52,56,60,63,68,
83,105,106,107,108,128,133,136,137,144,148,149,150,151,156,160,165,200,231,
236,237,247,253,261,262,264,265,270,271,274,275,283,284,286,288,289,290,291,
313,317,318,319,320,394,395,401,613,658,659,693,694,700,701,710,716,717,730,
789,790,845,1144],[1,2,3,4,8,9,10,11,12,16,19,20,21,23,24,32,33,34,35,58,60,
63,66,68,69,70,80,82,101,104,114,117,118,133,136,137,140,143,144,145,148,150,
153,154,163,208,229,235,237,239,249,256,261,262,263,265,270,271,274,275,277,
280,287,288,289,290,291,310,311,313,317,320,344,347,387,606,642,651,691,693,
696,700,702,720,721,734,785,787,842,844,1145],[1,2,3,4,8,9,10,11,12,16,18,19,
20,23,24,32,33,34,35,57,60,63,66,68,69,70,80,82,100,103,115,116,121,133,136,
137,140,143,144,145,149,151,152,154,164,208,229,236,238,239,249,255,261,262,
263,264,270,271,274,275,276,280,288,289,290,291,292,309,312,313,318,319,345,
346,388,605,642,650,692,694,696,701,703,722,723,735,784,786,841,843,1146],[1,
2,3,4,5,8,9,10,12,27,28,29,30,32,33,47,80,88,97,98,99,100,101,124,143,144,145,
147,160,161,225,228,229,251,259,260,267,268,269,304,306,335,336,337,338,375,
409,619,672,690,697,711,712,725,778,840,1147],[1,2,3,4,8,9,10,11,12,18,21,23,
24,33,57,58,61,63,65,69,80,81,126,127,143,144,145,166,203,206,229,381,382,383,
411,434,435,436,526,746,747,837,1148],[1,2,3,4,5,8,9,10,11,12,13,14,15,27,33,
47,80,81,82,83,84,85,88,102,124,143,144,145,166,221,223,229,377,378,379,409,
434,435,436,524,745,748,837,1149],[1,2,3,4,5,8,9,10,11,12,13,14,15,23,24,27,
32,33,47,61,63,69,80,81,83,84,85,88,100,101,103,104,124,125,128,133,134,135,
143,147,165,206,223,228,243,244,258,267,268,281,282,304,305,336,337,374,375,
386,401,402,409,410,412,428,429,530,548,549,554,617,627,695,729,737,750,776,
1150],[1,2,3,4,5,8,9,10,11,12,13,14,18,21,23,24,27,33,34,35,57,58,61,63,65,69,
80,81,83,102,109,110,111,112,123,124,126,127,136,137,143,144,145,156,162,203,
206,229,231,257,261,262,263,280,287,290,291,292,376,379,381,382,383,392,393,
396,397,411,432,433,526,559,560,628,629,696,727,728,736,774,775,1151],[1,2,3,
4,5,8,9,10,11,12,13,14,15,27,32,33,47,80,81,82,83,84,85,88,101,102,124,125,
126,127,128,143,144,145,146,147,161,221,223,229,230,259,260,267,269,305,306,
335,337,338,374,377,378,379,409,410,411,412,430,431,524,621,622,626,627,697,
725,726,738,749,751,1152],[1,2,3,4,5,8,9,10,11,12,13,14,15,18,21,23,24,27,32,
34,35,57,58,61,63,69,80,81,83,84,85,88,100,101,103,104,111,112,118,121,128,
133,134,135,136,137,147,165,206,223,232,233,244,253,270,271,276,277,283,284,
319,320,341,345,347,387,388,396,397,401,402,412,423,428,530,551,552,601,604,
630,699,730,739,757,758,1153],[1,2,3,4,5,8,9,10,11,12,13,14,15,22,23,24,27,32,
36,59,61,63,69,80,81,83,84,85,88,101,103,104,113,122,128,133,134,135,138,147,
165,206,223,234,244,254,272,273,279,285,321,342,348,389,398,401,402,412,423,
429,530,553,608,631,698,731,740,759,1154],[1,2,3,4,5,9,10,11,12,13,14,16,18,
19,20,21,23,24,27,28,30,32,33,34,35,50,54,56,57,58,60,63,70,71,73,78,83,98,
103,106,108,110,111,112,115,116,118,121,123,127,128,133,136,137,141,144,148,
150,152,163,199,217,237,238,246,256,262,265,271,274,284,286,287,289,291,310,
311,313,317,319,341,345,346,347,360,363,376,382,392,394,396,397,401,426,427,
510,564,597,611,615,629,630,700,733,734,743,756,761,763,771,1155],[1,2,3,4,5,
9,10,11,12,13,14,16,18,19,20,21,23,24,27,29,30,32,33,34,35,50,54,56,57,58,60,
63,70,72,74,76,83,97,103,105,107,109,111,112,114,117,118,121,123,126,128,133,
136,137,142,144,149,151,153,164,199,216,235,236,245,255,261,264,271,275,283,
286,288,290,292,309,312,313,318,320,341,344,345,347,361,364,376,381,393,395,
396,397,401,424,425,514,563,595,610,616,628,630,701,732,735,742,753,760,762,
772,1156],[1,2,3,4,5,8,9,10,11,12,27,28,29,30,32,33,47,80,81,82,88,97,98,99,
100,101,124,125,126,127,128,143,147,160,194,221,225,228,251,267,268,304,305,
306,335,374,375,409,410,411,412,413,414,523,538,573,619,622,627,750,752,778,
1157],[1,2,3,4,5,9,10,11,12,13,14,16,19,20,21,22,23,24,27,28,30,33,34,35,52,
53,56,58,59,60,63,68,71,73,78,83,98,106,108,109,111,114,117,118,123,126,136,
137,144,153,154,196,200,217,235,239,261,275,286,287,289,310,312,344,347,358,
359,369,371,376,381,393,394,396,512,515,564,593,594,628,753,754,785,1158],[1,
2,3,4,5,9,11,12,13,14,16,18,19,20,23,24,27,29,30,33,34,35,49,52,56,57,60,63,
68,72,74,76,83,97,105,107,110,112,115,116,121,123,127,136,137,144,152,154,195,
200,216,238,239,262,274,286,288,292,309,311,345,346,366,367,368,370,376,382,
392,395,397,511,516,563,589,591,629,755,756,784,1159],[1,2,3,4,5,8,9,10,11,12,
13,14,16,18,19,20,21,23,24,27,29,30,32,33,34,35,49,57,58,60,63,65,66,68,69,70,
72,74,76,80,82,83,97,100,102,103,111,112,114,115,116,117,118,121,124,127,128,
133,136,137,140,144,152,160,195,203,208,216,232,238,247,249,265,270,271,280,
283,287,292,309,318,319,341,344,345,346,347,350,352,366,367,379,382,388,396,
397,401,407,413,506,511,521,535,559,591,605,610,630,758,763,766,767,779,786,
1160],[1,2,3,4,5,8,9,10,11,12,13,14,16,18,19,20,21,22,23,24,27,28,30,32,33,34,
35,53,57,58,59,60,63,65,66,68,69,70,71,73,78,80,82,83,98,101,102,103,104,111,
112,114,115,116,117,118,121,124,126,128,133,135,136,137,140,144,153,160,196,
203,208,217,233,235,247,249,264,270,271,280,284,287,292,310,317,320,341,343,
344,345,346,347,350,352,358,359,379,381,387,389,396,397,401,408,414,507,512,
521,534,559,593,606,611,630,757,762,766,768,780,787,1161],[1,2,3,4,5,8,9,10,
11,12,15,17,19,20,21,22,23,24,27,28,29,30,32,33,36,53,58,59,61,62,64,67,68,69,
70,75,77,79,81,82,84,97,98,100,101,102,103,104,113,119,120,122,124,126,127,
128,134,135,138,139,145,155,160,196,204,207,218,234,240,248,250,266,272,273,
278,285,293,314,321,322,342,343,348,349,351,353,372,373,378,383,390,391,398,
402,407,408,413,414,508,517,522,536,558,596,609,612,631,759,764,765,769,781,
788,1162],[1,2,3,4,5,9,10,11,12,13,14,16,18,19,20,21,23,24,27,28,29,30,31,32,
34,35,52,56,57,58,60,63,68,71,72,73,74,76,78,83,86,87,89,97,98,103,105,106,
107,108,109,110,111,112,114,115,116,117,118,121,128,133,136,137,141,142,154,
200,216,217,222,239,245,246,271,274,275,283,284,286,309,310,313,317,318,341,
344,345,346,347,368,369,370,371,392,393,394,395,396,397,401,403,404,405,406,
515,516,531,532,565,610,611,613,630,754,755,760,761,782,783,1163],[1,2,3,4,5,
8,9,10,11,12,22,23,24,27,28,29,30,32,33,59,61,63,64,69,80,81,88,97,98,99,102,
103,104,125,126,127,128,143,146,147,160,204,206,225,230,251,260,269,281,305,
336,338,377,384,385,386,407,408,410,411,412,527,537,549,555,620,626,751,773,
777,1164],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,18,19,20,23,24,27,29,30,31,32,
33,34,35,57,60,63,66,68,69,70,72,74,76,80,82,83,84,85,86,87,88,89,97,100,102,
103,105,106,107,108,109,110,112,123,124,127,128,133,136,137,140,141,144,156,
160,208,216,222,223,231,246,247,249,262,263,265,277,283,284,286,288,291,292,
376,379,380,382,388,392,393,394,395,397,399,400,401,405,406,407,413,420,525,
532,533,535,551,556,563,565,629,767,770,771,775,789,792,1165],[1,2,3,4,5,8,9,
10,11,12,13,14,15,16,19,20,21,23,24,27,28,30,31,32,33,34,35,58,60,63,66,68,69,
70,71,73,78,80,82,83,84,85,86,87,88,89,98,101,102,104,105,106,107,108,109,110,
111,123,124,126,128,133,136,137,140,142,144,156,160,208,217,222,223,231,245,
247,249,261,263,264,276,283,284,286,287,289,290,376,379,380,381,387,392,393,
394,395,396,399,400,401,403,404,408,414,420,525,531,533,534,552,557,564,565,
628,768,770,772,774,790,793,1166],[1,2,3,4,5,8,9,10,11,12,22,23,24,27,28,29,
30,32,33,47,59,61,63,64,69,80,81,82,88,97,98,99,100,101,102,103,104,124,125,
126,127,128,135,143,146,147,160,204,206,221,225,230,243,251,267,268,269,281,
282,305,306,335,337,374,375,377,384,385,386,389,390,407,408,409,410,411,412,
413,414,527,528,537,538,548,555,562,622,627,749,752,773,776,791,794,1167],[1,
2,3,4,8,9,10,12,16,17,19,20,32,33,60,62,80,133,134,143,144,145,147,160,166,
205,229,244,247,248,251,434,435,436,675,837,856,1168],[1,2,3,4,8,9,10,12,16,
17,19,20,32,33,34,35,60,62,80,133,134,136,137,140,143,144,145,147,148,149,150,
151,154,160,205,229,236,237,239,241,242,244,247,248,249,251,675,676,853,
1169],[1,2,4,5,8,10,11,15,27,31,32,33,81,84,88,89,102,123,124,143,145,147,156,
161,162,166,259,267,305,337,377,378,380,420,432,433,434,439,440,688,726,748,
850,852,1170],[1,2,3,4,9,10,11,21,22,23,24,33,34,58,61,63,64,125,126,127,137,
144,145,146,161,162,166,257,262,287,291,381,383,384,385,430,431,435,438,440,
678,728,746,848,851,1171],[1,2,3,4,9,11,18,22,23,33,35,57,63,64,125,127,136,
144,146,161,162,166,257,261,290,292,382,385,431,435,438,440,677,727,747,847,
851,1172],[1,2,5,8,27,31,33,47,88,89,123,124,143,156,161,162,166,259,260,335,
338,409,420,433,434,439,440,681,725,745,849,852,1173],[1,2,5,8,27,32,33,37,47,
88,124,143,147,157,166,228,269,335,337,339,409,434,711,745,835,1174],[1,2,4,5,
8,10,11,27,32,33,37,81,88,102,135,143,147,157,166,243,268,281,304,339,377,434,
706,748,833,1175],[1,2,3,4,9,11,18,23,32,33,35,36,57,63,127,133,136,139,144,
166,232,264,309,315,320,382,435,713,747,809,1176],[1,2,3,4,9,10,11,21,23,32,
33,34,36,58,63,126,133,135,137,139,144,166,233,265,310,315,319,381,435,714,
746,810,1177],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,19,20,21,23,24,27,32,34,35,
58,60,63,66,68,69,70,80,82,83,84,85,88,101,104,105,106,107,108,109,110,111,
114,117,118,133,136,137,140,141,142,149,151,153,154,164,208,223,235,236,239,
245,246,249,255,270,271,274,275,276,280,283,286,310,312,313,317,320,344,347,
387,392,393,394,395,396,399,400,424,425,533,552,606,636,650,716,718,732,742,
753,754,761,782,787,841,1178],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,18,19,20,23,
24,27,32,34,35,57,60,63,66,68,69,70,80,82,83,84,85,88,100,103,105,106,107,108,
109,110,112,115,116,121,133,136,137,140,141,142,148,150,152,154,163,208,223,
237,238,239,245,246,249,256,270,271,274,275,277,280,284,286,309,311,313,318,
319,345,346,388,392,393,394,395,397,399,400,426,427,533,551,605,636,651,717,
719,733,743,755,756,760,783,786,842,1179],[1,2,3,4,5,9,10,11,12,13,14,16,18,
19,20,21,23,24,27,29,30,32,33,34,35,52,56,57,58,60,63,68,72,74,76,83,97,103,
105,107,110,111,114,115,116,117,121,126,133,136,137,142,144,149,151,153,154,
156,160,164,200,216,231,235,236,239,245,247,255,261,263,264,270,275,283,287,
289,290,292,309,312,318,320,341,344,345,346,368,370,381,392,395,396,424,425,
516,594,610,635,658,718,722,735,742,762,766,774,785,790,843,1180],[1,2,3,4,5,
9,10,11,12,13,14,16,18,19,20,21,23,24,27,28,30,32,33,34,35,52,56,57,58,60,63,
68,71,73,78,83,98,103,106,108,109,112,114,115,116,117,118,127,133,136,137,141,
144,148,150,152,154,156,160,163,200,217,231,237,238,239,246,247,256,262,263,
265,270,274,284,287,288,291,292,310,311,317,319,341,344,346,347,369,371,382,
393,394,397,426,427,515,589,611,634,659,719,720,734,743,763,766,775,784,789,
844,1181],[1,2,3,4,5,8,9,10,11,12,13,14,16,18,19,20,21,23,24,27,28,30,32,33,
34,35,57,58,60,63,66,68,69,70,71,73,78,80,82,83,98,100,101,102,103,104,112,
115,116,121,124,126,128,133,134,135,136,137,140,144,147,153,160,165,208,217,
232,233,235,244,247,249,253,264,265,270,271,280,283,284,292,310,317,318,319,
320,341,345,346,379,381,387,388,397,401,408,414,423,428,534,605,611,652,669,
708,714,730,739,758,762,767,779,787,845,1182],[1,2,3,4,5,8,9,10,11,12,13,14,
16,18,19,20,21,23,24,27,29,30,32,33,34,35,57,58,60,63,66,68,69,70,72,74,76,80,
82,83,97,100,101,102,103,104,111,114,117,118,124,127,128,133,134,135,136,137,
140,144,147,152,160,165,208,216,232,233,238,244,247,249,253,264,265,270,271,
280,283,284,287,309,317,318,319,320,341,344,347,379,382,387,388,396,401,407,
413,423,428,535,606,610,653,669,708,713,730,739,757,763,768,780,786,845,
1183],[1,2,3,4,5,8,9,10,11,12,15,17,19,20,21,22,23,24,27,28,29,30,32,33,36,58,
59,61,62,67,68,69,70,75,77,79,81,82,84,97,98,100,101,102,103,104,113,119,120,
122,124,126,127,128,133,134,135,138,139,145,147,155,160,165,207,218,233,234,
240,243,248,250,254,266,272,273,278,285,293,314,321,322,343,348,349,378,383,
390,391,398,402,407,408,413,414,422,423,428,429,536,609,612,654,668,709,715,
731,741,759,764,769,781,788,846,1184],[1,2,3,4,5,8,9,10,11,12,13,14,16,18,19,
20,21,23,24,27,33,34,35,57,58,60,63,65,66,68,69,70,80,82,83,102,106,108,110,
111,112,114,115,116,117,118,121,124,136,137,140,141,144,148,150,152,154,163,
203,208,237,238,239,246,249,256,262,263,274,275,277,280,286,287,288,291,292,
310,311,313,344,345,346,347,350,352,379,392,394,396,397,426,427,521,556,559,
648,651,720,723,734,743,754,756,761,784,792,842,1185],[1,2,3,4,5,8,9,10,11,12,
13,14,16,18,19,20,21,23,24,27,33,34,35,57,58,60,63,65,66,68,69,70,80,82,83,
102,105,107,109,111,112,114,115,116,117,118,121,124,136,137,140,142,144,149,
151,153,154,164,203,208,235,236,239,245,249,255,261,263,274,275,276,280,286,
287,289,290,292,309,312,313,344,345,346,347,350,352,379,393,395,396,397,424,
425,521,557,559,647,650,721,722,735,742,753,755,760,785,793,841,1186],[1,2,3,
4,5,9,10,11,12,13,14,16,19,20,21,23,24,27,28,30,32,33,34,35,52,56,58,60,63,68,
71,73,78,83,98,105,106,107,108,109,111,114,117,118,123,128,133,135,136,137,
142,144,149,151,153,154,160,164,200,217,233,235,236,239,245,247,255,263,264,
270,271,274,283,284,286,287,289,290,313,317,318,320,344,347,369,371,376,393,
394,395,396,401,424,425,515,564,613,652,658,716,721,732,742,757,770,772,780,
783,843,1187],[1,2,3,4,5,9,11,12,13,14,16,18,19,20,23,24,27,29,30,32,33,34,35,
52,56,57,60,63,68,72,74,76,83,97,105,106,107,108,110,112,115,116,121,123,128,
133,136,137,141,144,148,150,152,154,160,163,200,216,232,237,238,239,246,247,
256,263,265,270,271,275,283,284,286,288,291,292,313,317,318,319,345,346,368,
370,376,392,394,395,397,401,426,427,516,563,613,653,659,717,723,733,743,758,
770,771,779,782,844,1188],[1,2,3,4,5,8,9,10,11,12,27,28,29,30,32,33,47,80,81,
82,88,97,98,99,100,101,103,104,124,125,126,127,128,133,134,135,143,147,160,
165,221,225,228,243,244,251,258,267,268,269,281,282,304,305,306,335,337,374,
375,386,409,410,411,412,413,414,428,429,538,562,622,632,644,707,711,729,737,
750,773,776,778,791,838,1189],[1,2,3,4,5,8,9,10,11,12,23,24,27,28,29,30,32,33,
61,63,69,80,81,88,97,98,99,102,103,104,125,126,127,128,135,143,144,145,146,
147,160,161,206,225,229,230,243,251,259,267,268,269,281,282,305,306,336,337,
338,377,386,407,408,410,411,412,430,431,537,549,562,637,672,705,724,726,738,
751,773,776,791,794,840,1190],[1,2,3,4,5,8,9,10,11,12,13,14,16,18,19,20,23,24,
27,29,30,32,33,34,35,57,60,63,66,68,69,70,72,74,76,80,82,83,97,100,102,103,
105,107,109,112,123,124,127,128,133,136,137,140,142,143,144,145,156,160,162,
208,216,229,231,245,247,249,257,261,263,264,265,276,283,286,288,289,290,291,
292,376,379,382,388,393,395,397,401,407,413,432,433,535,557,563,635,642,703,
710,727,736,767,772,775,790,793,839,1191],[1,2,3,4,5,8,9,10,11,12,13,14,16,19,
20,21,23,24,27,28,30,32,33,34,35,58,60,63,66,68,69,70,71,73,78,80,82,83,98,
101,102,104,106,108,110,111,123,124,126,128,133,136,137,140,141,143,144,145,
156,160,162,208,217,229,231,246,247,249,257,262,263,264,265,277,284,286,287,
288,289,290,291,376,379,381,387,392,394,396,401,408,414,432,433,534,556,564,
634,642,702,710,728,736,768,771,774,789,792,839,1192],[1,2,3,4,5,8,9,10,11,12,
23,24,27,28,29,30,32,33,47,61,63,69,80,81,88,97,98,99,100,101,102,103,104,124,
126,127,128,133,134,135,143,146,147,160,165,206,225,228,230,243,244,251,258,
267,268,269,281,282,304,305,306,335,337,374,375,377,386,407,408,409,411,412,
428,429,537,548,619,637,644,706,707,729,737,749,750,752,778,794,838,1193],[1,
2,3,4,5,8,9,10,11,12,27,28,29,30,32,33,47,80,81,82,88,97,98,99,100,101,102,
124,125,126,127,128,143,144,145,146,147,160,161,221,225,229,230,251,259,260,
268,269,305,306,335,336,337,338,374,375,377,409,410,411,412,413,414,430,431,
538,620,622,670,672,712,724,725,738,749,751,752,777,840,1194],[1,2,3,4,9,11,
18,23,33,35,36,49,57,63,121,127,136,139,144,166,195,292,309,315,345,382,435,
591,747,809,1195],[1,2,3,4,9,11,12,16,18,19,20,23,24,33,34,35,52,56,57,60,63,
68,115,116,127,136,137,144,166,200,288,309,311,346,382,435,589,747,811,1196],[
1,2,3,4,9,10,11,21,22,23,33,34,36,53,58,59,63,118,126,137,139,144,166,196,287,
310,315,347,381,435,593,746,810,1197],[1,2,3,4,9,10,11,12,16,19,20,21,23,24,
33,35,36,52,56,58,60,63,68,114,117,126,136,138,144,166,200,289,312,314,344,
381,435,594,746,808,1198],[1,2,3,4,9,10,11,17,21,23,24,33,34,36,55,58,63,67,
118,126,137,138,144,166,198,291,311,314,347,381,435,590,746,808,1199],[1,2,3,
4,9,11,17,18,23,24,33,35,55,57,63,67,121,127,136,144,166,198,290,309,312,345,
382,435,592,747,811,1200],[1,2,4,5,8,10,11,25,26,27,32,33,36,81,88,90,102,128,
138,143,147,166,224,278,304,337,377,412,434,618,748,795,1201],[1,2,3,4,5,8,9,
10,11,12,27,28,29,30,33,36,80,81,88,97,98,99,102,126,127,138,143,166,225,278,
336,338,377,411,434,620,748,795,1202],[1,2,4,5,8,10,11,22,27,32,33,37,59,64,
81,88,102,128,143,147,157,166,204,281,305,339,377,412,434,555,748,833,1203],[
1,2,3,4,5,8,9,10,12,27,28,29,30,32,33,47,80,88,97,98,99,100,101,124,143,147,
166,225,304,306,335,375,409,434,619,745,832,1204],[1,2,5,8,27,33,37,47,88,124,
143,157,166,194,335,339,409,434,573,745,835,1205],[1,2,5,8,25,26,27,33,47,88,
90,124,143,166,224,335,338,409,434,572,745,832,1206],[1,2,3,4,5,8,9,10,11,12,
13,14,15,27,32,33,80,81,83,84,85,88,102,103,104,125,126,127,128,135,143,146,
147,160,165,223,230,243,251,258,267,268,269,281,282,304,305,306,337,338,377,
386,410,411,412,554,621,671,690,706,724,729,751,773,776,791,794,838,1207],[1,
2,3,4,5,8,9,10,11,12,13,14,21,23,24,27,32,33,34,35,58,61,63,69,80,81,83,101,
102,104,109,110,111,118,124,133,136,137,140,141,144,153,163,206,235,246,249,
256,262,263,264,270,271,274,275,277,280,284,286,287,290,291,310,311,312,313,
319,347,379,387,392,393,396,560,604,655,692,694,719,721,733,734,753,761,768,
787,792,842,1208],[1,2,3,4,5,8,9,10,11,12,13,14,18,23,24,27,32,33,34,35,57,61,
63,69,80,81,83,100,102,103,109,110,112,121,124,133,136,137,140,142,144,152,
164,206,238,245,249,255,261,263,265,270,271,274,275,276,280,283,286,290,291,
292,309,311,312,313,320,345,379,388,392,393,397,560,601,655,691,693,718,723,
732,735,756,760,767,786,793,841,1209],[1,2,3,4,5,9,11,12,13,14,16,18,19,20,23,
24,27,32,33,34,35,50,54,56,57,60,63,70,83,105,107,109,112,115,116,121,127,128,
133,136,137,144,154,156,160,164,199,231,232,239,247,255,261,263,264,265,270,
271,274,283,286,289,290,291,292,309,312,313,318,319,320,345,346,382,393,395,
397,401,597,616,657,692,693,710,713,732,735,755,758,775,779,790,843,1210],[1,
2,3,4,5,9,10,11,12,13,14,16,19,20,21,23,24,27,32,33,34,35,50,54,56,58,60,63,
70,83,106,108,110,111,114,117,118,126,128,133,135,136,137,144,154,156,160,163,
199,231,233,239,247,256,262,263,264,265,270,271,275,284,286,287,288,290,291,
310,311,313,317,319,320,344,347,381,392,394,396,401,595,615,657,691,694,710,
714,733,734,754,757,774,780,789,844,1211],[1,2,3,4,5,9,11,12,13,14,16,19,20,
23,24,27,32,33,34,35,50,54,56,60,63,70,83,105,106,107,108,109,110,123,128,133,
136,137,141,142,144,154,160,165,199,239,245,246,247,253,263,264,265,270,271,
274,275,283,284,290,291,311,312,317,318,319,320,376,392,393,394,395,401,615,
616,657,691,692,718,719,730,770,771,772,782,783,845,1212],[1,2,3,4,9,10,11,12,
16,18,19,20,21,23,24,32,33,34,35,50,54,56,57,58,60,63,70,103,114,115,116,117,
118,121,126,127,133,136,137,144,152,153,154,160,162,199,235,238,239,247,257,
261,262,263,264,265,270,274,275,287,288,289,290,291,292,313,319,320,341,344,
345,346,347,381,382,595,597,657,693,694,721,723,727,728,762,763,766,784,785,
839,1213],[1,2,3,4,5,8,9,10,11,12,13,14,15,27,32,33,47,80,81,83,84,85,88,100,
101,102,124,126,127,128,143,146,147,160,161,223,228,230,251,259,260,267,268,
269,304,305,306,335,336,337,338,374,375,377,409,411,412,617,621,671,689,690,
711,724,725,726,749,750,752,777,778,840,1214],[1,2,4,5,8,10,11,27,32,33,36,37,
81,88,102,138,143,147,157,161,259,267,278,305,337,339,377,726,795,833,1215],[
1,2,3,4,9,10,11,21,23,33,34,36,58,63,126,137,138,139,144,162,257,262,287,291,
314,315,381,728,808,810,1216],[1,2,3,4,9,11,18,23,33,35,36,57,63,127,136,139,
144,162,257,261,290,292,309,315,382,727,809,811,1217],[1,2,4,5,10,11,15,24,27,
32,36,37,61,84,128,134,135,138,139,157,165,254,273,285,307,316,321,402,731,
803,831,1218],[1,2,5,8,27,33,37,47,88,124,143,157,161,259,260,335,338,339,409,
725,832,835,1219],[1,2,3,4,8,9,10,11,12,32,34,35,36,47,80,81,100,101,103,104,
133,134,135,136,137,138,147,165,228,243,244,258,270,271,272,273,276,277,279,
374,375,386,428,429,698,699,737,800,801,815,816,1220],[1,2,3,4,8,9,10,12,22,
32,33,34,35,59,80,101,103,104,133,134,135,136,137,143,147,165,234,244,254,267,
268,270,271,276,277,282,336,342,389,423,429,695,699,740,796,797,805,806,
1221],[1,2,3,4,8,9,10,12,18,21,32,33,36,57,58,80,100,101,103,104,133,134,135,
138,143,147,165,232,233,244,253,267,268,272,273,279,282,336,341,387,388,423,
428,695,698,739,798,799,804,807,1222],[1,2,4,5,8,10,11,27,33,36,37,81,88,102,
125,138,143,157,260,278,339,377,410,626,795,833,1223],[1,2,4,5,8,10,11,27,32,
33,37,47,81,88,101,124,125,128,143,147,157,267,335,339,374,409,410,412,627,
832,835,1224],[1,2,3,4,5,9,10,11,13,14,21,23,27,33,35,36,58,63,83,109,111,123,
126,136,138,139,144,261,314,315,376,381,393,396,628,808,810,1225],[1,2,3,4,5,
9,11,13,14,18,23,27,33,34,35,36,57,63,83,110,112,123,127,136,137,139,144,262,
309,315,376,382,392,397,629,809,811,1226],[1,2,4,5,10,11,15,22,24,27,32,36,37,
59,61,84,104,113,122,128,134,138,139,157,273,307,316,342,348,398,402,631,803,
831,1227],[1,2,3,4,8,9,10,12,32,33,34,35,80,136,137,143,144,145,147,166,229,
260,261,262,263,267,269,280,306,434,435,436,696,697,837,1228],[1,2,4,5,8,10,
11,27,31,32,33,47,81,88,89,101,123,124,125,128,143,147,156,162,166,267,374,
409,410,412,420,433,434,437,438,627,681,745,850,854,1229],[1,2,4,5,8,10,11,15,
27,31,33,81,84,88,89,102,123,124,125,143,145,156,162,166,260,377,378,380,410,
420,432,433,434,437,438,626,688,748,849,854,1230],[1,2,3,4,5,9,10,11,13,14,21,
22,23,24,27,33,35,58,61,63,64,83,109,111,123,125,126,127,136,144,145,146,161,
166,261,376,381,383,384,385,393,396,430,431,435,437,439,628,678,746,847,855,
1231],[1,2,3,4,5,9,11,13,14,18,22,23,27,33,34,57,63,64,83,110,112,123,125,127,
137,144,146,161,166,262,376,382,385,392,397,431,435,437,439,629,677,747,848,
855,1232],[1,2,3,4,5,8,9,10,11,12,13,14,27,33,80,81,83,102,123,124,125,126,
127,143,144,145,146,156,161,162,166,229,230,231,257,259,376,379,410,411,430,
431,432,433,434,435,436,437,438,439,440,736,738,837,851,852,854,855,857,
1233],[1,2,3,4,5,8,9,10,12,13,14,27,32,33,80,83,102,123,124,143,144,145,147,
156,162,166,229,231,257,260,267,269,306,376,379,432,433,434,435,436,697,736,
837,849,850,1234],[1,2,3,4,8,9,10,11,12,33,34,35,80,81,125,126,127,136,137,
143,144,145,146,161,166,229,230,259,261,262,263,280,410,411,430,431,434,435,
436,696,738,837,847,848,1235],[1,2,3,4,10,12,17,19,20,22,32,33,34,35,36,59,62,
104,119,120,134,138,140,145,150,151,154,160,166,242,248,272,293,342,349,436,
765,853,856,1236],[1,2,3,4,10,12,17,19,20,32,33,34,35,36,62,134,135,138,140,
145,150,151,154,160,165,166,242,248,254,266,272,322,436,846,853,856,1237],[1,
2,5,6,7,8,27,33,41,42,43,124,167,169,172,180,187,189,441,465,466,501,858,
1238],[1,5,6,7,25,31,37,41,42,44,131,167,170,171,173,181,188,190,441,467,468,
470,502,859,1239],[1,2,3,6,7,8,9,32,39,43,45,100,167,169,172,180,182,191,443,
446,503,858,1240],[1,2,3,4,6,7,8,11,12,39,40,43,45,82,167,169,172,180,183,184,
443,481,492,858,1241],[1,3,5,6,7,29,31,37,39,41,42,44,45,129,167,185,188,441,
442,443,860,861,862,1242],[1,2,8,38,47,194,1243],[1,3,5,7,14,16,18,25,29,34,
39,48,74,92,108,116,148,170,176,209,325,355,452,575,865,1244],[1,3,4,5,7,14,
16,18,20,23,25,29,34,35,40,50,74,92,106,109,115,121,148,149,170,176,209,326,
331,354,364,450,457,581,865,1245],[1,3,5,7,14,16,18,25,29,34,39,49,74,92,112,
116,152,171,178,209,330,367,455,576,866,1246],[1,3,4,5,7,13,15,16,17,21,22,25,
28,30,35,36,40,53,71,77,95,111,113,117,120,153,155,171,177,178,210,329,333,
358,372,454,458,587,867,1247],[1,2,3,4,7,8,9,10,12,16,17,19,20,21,32,35,40,58,
60,62,80,101,104,114,117,133,136,169,177,178,205,276,318,344,387,447,454,603,
868,1248],[1,2,3,4,7,8,9,10,12,16,17,18,19,20,32,34,39,57,60,62,80,100,103,
115,116,133,137,169,177,178,205,277,317,346,388,446,455,602,868,1249],[1,2,3,
4,7,8,9,10,12,16,17,19,20,22,32,36,40,59,60,62,80,101,103,119,120,135,138,169,
177,178,205,279,322,349,389,447,458,607,868,1250],[1,2,5,6,8,27,33,41,47,88,
124,143,172,194,335,409,466,573,864,1251],[1,3,5,7,14,16,18,25,29,31,34,37,42,
74,86,92,108,112,129,131,141,159,170,176,209,296,300,406,416,462,467,567,865,
1252],[1,3,5,7,14,16,18,25,29,31,34,37,42,74,86,92,108,112,129,131,141,159,
171,178,209,296,300,406,416,460,468,567,866,1253],[1,3,4,5,7,13,15,16,17,21,
25,28,30,31,35,37,42,71,77,87,95,107,111,130,131,142,158,171,177,178,210,298,
303,404,418,459,468,568,867,1254],[1,2,3,4,5,7,8,9,10,12,13,14,16,17,19,20,27,
33,34,35,42,60,62,80,83,102,105,106,107,108,124,136,137,144,169,177,178,205,
280,288,289,379,394,395,459,460,465,561,868,1255],[1,2,5,6,8,25,26,27,31,33,
37,41,88,89,90,123,124,131,132,156,157,172,173,174,224,339,340,420,421,466,
469,470,625,869,1256],[1,2,5,7,8,25,26,27,31,33,37,42,88,89,90,123,124,131,
132,156,157,169,171,224,339,340,420,421,465,468,625,870,1257],[1,2,5,7,8,27,
31,33,43,47,88,89,123,124,143,156,162,169,179,409,420,433,471,489,494,681,
1258],[1,2,3,4,7,9,11,18,22,23,33,43,57,63,64,125,127,144,146,161,175,176,382,
385,431,472,476,496,677,1259],[1,2,3,4,7,8,9,10,12,18,22,32,43,47,57,59,80,
100,101,103,133,135,147,165,169,175,176,375,388,389,428,471,472,473,495,679,
1260],[1,3,5,7,14,16,18,29,31,34,45,48,49,74,86,108,112,116,141,148,152,163,
176,178,179,355,367,406,426,483,485,486,497,682,1261],[1,3,4,5,7,13,16,21,22,
30,31,35,45,48,53,71,87,107,111,117,142,149,153,164,175,178,179,356,358,404,
424,482,484,486,498,683,1262],[1,2,3,4,5,7,9,12,13,14,15,16,18,19,20,21,25,26,
27,28,29,30,43,57,60,65,71,72,74,75,76,78,79,83,85,90,91,92,94,95,96,97,99,
170,176,209,212,213,215,216,219,227,472,474,490,542,865,1263],[1,2,3,4,7,8,9,
10,11,12,16,17,19,20,23,24,43,47,60,61,62,63,66,67,68,69,70,80,81,82,169,177,
178,205,206,207,208,221,471,475,477,540,868,1264],[1,2,3,4,5,6,8,9,10,12,13,
14,15,25,26,27,28,29,30,44,80,83,84,85,88,90,91,92,93,94,95,96,97,98,99,172,
173,174,223,224,225,226,227,478,479,480,491,546,869,1265],[1,2,3,4,7,8,9,10,
11,12,16,17,19,20,23,24,45,48,50,52,54,55,56,60,62,63,66,68,69,70,80,82,169,
177,178,197,199,200,201,205,208,481,486,487,488,544,868,1266],[1,2,3,4,7,8,9,
10,11,12,32,39,40,43,47,80,81,82,100,101,147,169,180,183,184,194,221,228,374,
375,446,447,471,492,523,871,885,886,1267],[1,2,3,4,5,7,8,9,10,11,12,27,28,29,
30,32,33,39,40,42,43,45,47,80,81,82,88,97,98,99,100,101,124,126,127,128,143,
147,160,169,182,184,185,186,187,221,225,251,375,409,411,412,413,414,446,447,
465,471,481,493,538,878,886,887,888,915,1268],[1,2,3,4,5,7,9,12,13,14,15,25,
26,27,28,29,30,31,37,39,40,42,43,45,83,85,86,87,89,90,91,92,94,95,96,97,99,
129,130,131,132,157,158,159,179,182,184,185,186,187,222,227,252,415,416,417,
418,419,421,448,449,463,464,482,483,489,493,539,879,889,890,891,892,893,916,
1269],[1,2,3,4,7,8,9,10,11,12,16,18,19,20,21,23,24,34,35,39,40,43,57,58,60,63,
65,66,68,69,70,80,82,114,115,116,117,118,121,136,137,140,176,180,183,184,203,
208,249,344,345,346,347,350,352,450,452,457,472,474,492,521,876,897,899,903,
904,1270],[1,2,3,4,7,8,10,11,12,17,19,20,22,23,24,36,39,40,43,59,61,62,64,67,
68,69,70,81,82,119,120,122,138,139,175,180,183,184,204,207,250,348,349,351,
353,451,453,456,473,476,492,522,877,898,900,902,905,1271],[1,2,3,4,5,7,9,10,
12,15,17,19,20,21,22,27,28,29,30,36,39,40,42,43,45,53,58,59,62,75,77,79,84,97,
98,113,119,120,138,155,175,182,184,185,186,187,196,218,240,349,372,373,398,
451,453,461,473,484,493,517,880,894,900,912,914,1272],[1,2,3,4,5,7,9,12,13,14,
16,18,19,20,27,29,30,34,39,40,42,43,45,49,57,60,72,74,76,83,97,112,115,116,
137,152,176,182,184,185,186,187,195,216,238,346,366,367,397,450,452,462,472,
485,493,511,881,895,897,909,911,1273],[1,2,3,4,5,7,9,12,13,14,15,16,18,19,20,
21,23,27,28,29,30,34,35,39,40,42,43,45,48,50,52,60,65,66,71,74,75,76,78,79,85,
97,99,107,108,109,110,116,117,118,121,140,148,149,154,178,182,184,185,186,187,
197,219,241,352,355,356,363,364,368,371,400,454,455,459,460,477,486,487,493,
518,883,896,901,907,908,910,913,1274],[1,2,5,6,8,27,33,44,47,88,124,143,172,
194,335,409,491,573,864,1275],[1,3,5,7,14,16,18,25,29,34,45,49,74,92,112,116,
152,170,176,209,330,367,485,576,865,1276],[1,3,5,7,14,16,18,25,29,34,45,48,74,
92,108,116,148,171,178,209,325,355,486,575,866,1277],[1,3,4,5,7,13,15,16,17,
21,25,28,30,35,45,48,71,77,95,107,117,149,171,177,178,210,324,356,486,574,867,
1278],[1,2,5,7,8,25,26,27,33,43,47,88,90,124,143,169,171,224,338,409,471,572,
870,1279],[1,2,3,4,7,8,9,10,12,16,17,19,20,32,43,47,60,62,80,100,101,147,169,
177,178,205,282,375,471,547,868,1280],[1,2,4,5,6,8,10,11,27,33,44,81,88,102,
125,143,172,260,377,410,491,626,884,1281],[1,2,4,5,7,8,10,11,27,32,33,40,42,
43,47,81,88,101,124,128,143,147,169,183,187,191,228,268,304,305,374,409,412,
447,465,471,499,750,885,915,931,1282],[1,2,3,4,5,7,9,11,13,14,18,23,27,32,34,
35,40,42,43,57,63,83,112,121,128,133,136,137,176,183,187,191,232,270,283,319,
345,397,401,457,462,472,499,758,895,899,929,1283],[1,2,4,5,7,10,11,15,22,24,
27,32,36,40,42,43,59,61,84,113,122,128,134,135,138,175,183,187,191,234,272,
285,321,348,398,402,456,461,473,499,759,894,898,930,1284],[1,2,3,4,7,8,9,10,
12,32,33,39,40,43,47,80,100,101,143,147,160,169,184,189,191,228,251,267,268,
306,335,375,446,447,471,504,778,886,921,931,1285],[1,2,3,4,7,10,12,17,19,20,
22,32,33,36,39,40,43,59,62,119,120,134,135,138,145,160,175,184,189,191,234,
248,266,273,293,322,349,451,453,473,504,781,900,923,930,1286],[1,2,3,4,7,9,12,
16,18,19,20,32,33,34,35,39,40,43,57,60,115,116,133,136,137,144,160,176,184,
189,191,232,247,265,271,292,318,346,450,452,472,504,779,897,922,929,1287],[1,
2,5,6,8,27,32,33,44,88,143,147,172,260,268,337,491,689,884,1288],[1,2,4,5,7,8,
10,11,15,22,27,33,36,42,43,59,64,81,84,102,113,124,138,145,175,180,187,189,
204,278,293,378,398,461,473,476,501,558,877,894,923,1289],[1,2,3,4,5,7,8,9,10,
12,13,14,18,21,27,33,34,35,42,43,57,58,65,80,83,102,111,112,124,136,137,144,
176,180,187,189,203,280,287,292,379,396,397,462,472,474,501,559,876,895,922,
1290],[1,3,5,6,14,16,18,25,29,31,34,37,41,44,74,86,92,108,112,129,131,141,159,
173,181,188,190,209,296,300,406,416,470,478,502,567,874,917,925,1291],[1,3,4,
5,6,13,15,20,21,25,26,28,29,30,31,35,37,41,44,73,79,87,91,93,95,105,111,129,
130,131,132,142,158,174,181,188,190,211,299,302,303,403,415,418,469,479,480,
502,571,875,918,926,1292],[1,2,3,4,7,8,9,10,11,12,32,33,40,43,45,47,80,81,82,
101,125,126,127,143,147,169,182,183,189,221,305,306,335,374,410,411,447,471,
481,500,622,878,885,921,1293],[1,2,3,4,7,9,10,11,21,22,24,33,36,40,43,45,53,
58,59,61,122,126,127,138,145,175,182,183,189,196,293,314,348,383,456,473,484,
500,596,880,898,923,1294],[1,2,3,4,7,9,11,18,23,33,35,40,43,45,49,57,63,121,
127,136,144,176,182,183,189,195,292,309,345,382,457,472,485,500,591,881,899,
922,1295],[1,2,3,4,7,9,11,17,22,23,24,33,36,40,43,45,55,63,64,67,120,122,125,
127,139,146,177,182,183,189,198,295,315,353,385,458,475,488,500,599,882,906,
924,1296],[1,2,5,7,8,27,33,42,43,47,88,124,143,169,180,187,189,194,335,409,
465,471,501,573,871,915,921,1297],[1,2,5,7,8,25,26,27,31,33,37,42,43,88,89,90,
123,124,131,132,156,157,170,180,187,189,224,339,340,420,421,467,490,501,625,
872,919,927,1298],[1,2,5,6,8,25,26,27,31,33,37,41,44,88,89,90,123,124,131,132,
156,157,172,181,188,190,224,339,340,420,421,466,491,502,625,873,920,928,
1299],[1,2,3,4,7,8,9,10,11,21,22,32,43,45,53,58,59,64,81,100,101,103,104,134,
135,175,180,182,191,196,204,234,342,343,390,391,473,476,484,503,508,877,880,
930,1300],[1,2,3,4,7,8,9,10,12,18,21,32,43,45,49,57,58,65,80,100,103,133,176,
180,182,191,195,203,232,341,388,472,474,485,503,506,876,881,929,1301],[1,2,3,
4,7,8,9,10,11,12,32,43,45,47,80,81,82,100,101,147,169,180,182,191,194,221,228,
374,375,471,481,503,523,871,878,931,1302],[1,2,5,6,8,27,33,41,123,124,143,156,
162,166,172,260,433,434,466,849,884,1303],[1,2,5,7,8,27,33,42,43,123,124,143,
156,161,162,166,180,187,189,259,433,434,439,440,496,501,852,932,935,941,
1304],[1,2,3,4,7,9,11,33,40,43,45,125,127,144,146,161,162,166,182,183,189,257,
431,435,438,440,494,500,851,933,934,936,1305],[1,2,3,4,7,8,9,10,32,43,45,100,
101,103,104,133,134,135,147,165,180,182,191,253,254,258,422,423,428,429,495,
503,744,937,938,942,1306],[1,2,8,46,47,192,194,944,1307],[1,2,3,9,18,46,49,57,
192,195,945,1308],[1,5,6,25,31,37,38,41,44,131,168,173,188,444,470,948,1309],[
1,5,6,26,31,37,38,41,44,132,168,174,188,444,469,949,1310],[1,3,5,7,29,31,37,
38,39,42,45,129,168,179,185,444,449,950,1311],[1,2,3,4,8,9,10,11,12,18,21,22,
32,47,49,53,57,58,59,64,65,80,81,82,100,101,103,104,133,134,135,147,165,194,
195,196,203,204,221,228,232,233,234,243,244,253,254,258,341,342,343,374,375,
386,387,388,389,390,391,422,423,428,429,506,507,508,523,528,529,679,680,686,
687,737,739,740,741,744,1002,1004,1005,1116,1312],[1,2,3,4,8,9,10,11,12,16,17,
19,20,23,24,32,47,48,50,51,52,54,55,56,60,61,62,63,66,67,68,69,70,80,81,82,
100,101,147,194,197,198,199,200,201,202,205,206,207,208,221,228,281,282,374,
375,523,540,544,545,547,548,632,952,959,988,1313],[1,2,3,4,5,8,9,10,12,13,14,
15,16,17,18,19,20,21,25,26,27,28,29,30,32,34,49,57,58,60,62,65,71,72,73,74,75,
76,77,78,79,80,83,84,85,88,90,91,92,93,94,95,96,97,98,99,100,103,112,115,116,
133,137,152,195,203,205,209,210,211,212,213,214,215,216,217,218,219,220,223,
224,225,226,227,232,238,277,284,310,317,330,332,341,346,366,367,388,397,506,
511,541,542,543,546,551,576,586,602,611,648,653,664,953,968,971,989,993,
1314],[1,2,3,4,5,8,9,10,12,13,14,15,16,17,18,19,20,21,22,25,26,27,28,29,30,32,
35,36,53,57,58,59,60,62,65,71,72,73,74,75,76,77,78,79,80,83,84,85,88,90,91,92,
93,94,95,96,97,98,99,101,103,104,111,113,114,117,119,120,133,135,136,138,153,
155,196,203,205,209,210,211,212,213,214,215,216,217,218,219,220,223,224,225,
226,227,233,235,240,276,279,283,285,309,314,318,322,327,329,333,334,341,343,
344,349,358,359,372,373,387,389,396,398,507,512,517,541,542,543,546,552,553,
583,587,588,603,607,610,612,647,649,652,654,663,667,953,969,970,976,990,991,
994,1315],[1,2,3,4,8,9,10,11,12,16,17,19,20,22,23,24,32,33,36,47,48,50,51,52,
54,55,56,59,60,61,62,63,64,66,67,68,69,70,80,81,82,101,103,104,119,120,122,
125,126,127,135,138,139,143,146,147,197,198,199,200,201,202,204,205,206,207,
208,221,230,243,250,278,279,294,295,305,306,315,316,321,322,335,336,348,349,
351,353,374,384,385,386,389,390,410,411,522,527,528,540,544,545,549,550,598,
599,600,607,608,609,622,637,639,643,656,668,670,952,960,978,980,992,995,996,
1316],[1,2,3,4,5,8,9,10,12,13,14,15,16,17,18,19,20,21,25,26,27,28,29,30,31,33,
34,35,37,57,58,60,62,65,71,72,73,74,75,76,77,78,79,80,83,84,85,86,87,88,89,90,
91,92,93,94,95,96,97,98,99,102,105,106,107,108,111,112,123,124,129,130,131,
132,136,137,141,142,144,156,157,158,159,203,205,209,210,211,212,213,214,215,
216,217,218,219,220,222,223,224,225,226,227,231,245,246,252,280,286,287,288,
289,292,296,297,298,299,300,301,302,303,307,308,339,340,376,379,380,394,395,
396,397,403,404,405,406,415,416,417,418,419,420,421,525,531,532,539,541,542,
543,546,559,561,563,564,566,567,568,569,570,571,623,624,625,634,635,636,640,
641,645,646,673,674,953,965,966,967,987,997,998,999,1000,1317],[1,2,3,4,5,8,9,
10,11,12,13,14,15,16,17,18,19,20,21,23,24,25,26,27,28,29,30,32,33,47,57,58,60,
61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,88,90,
91,92,93,94,95,96,97,98,99,100,101,102,103,104,124,126,127,128,133,134,143,
144,145,147,160,203,205,206,207,208,209,210,211,212,213,214,215,216,217,218,
219,220,221,223,224,225,226,227,229,244,247,248,251,282,304,306,336,337,338,
375,377,378,379,381,382,383,386,387,388,391,401,402,407,408,409,411,412,413,
414,524,526,529,530,534,535,536,537,538,540,541,542,543,546,547,550,554,562,
572,617,618,619,620,621,633,644,671,672,675,953,961,963,964,986,1073,1074,
1318],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,18,19,20,21,23,24,25,26,27,28,29,
30,34,35,48,50,52,54,55,56,57,58,60,62,63,65,66,68,69,70,71,72,73,74,75,76,77,
78,79,80,82,83,84,85,88,90,91,92,93,94,95,96,97,98,99,105,106,107,108,109,110,
114,115,116,117,118,121,136,137,140,148,149,150,151,154,197,199,200,201,203,
205,208,209,210,211,212,213,214,215,216,217,218,219,220,223,224,225,226,227,
236,237,239,241,242,249,323,324,325,326,328,331,344,345,346,347,350,352,354,
355,356,357,360,361,362,363,364,365,368,369,370,371,392,393,394,395,399,400,
509,510,513,514,515,516,518,519,520,521,533,541,542,543,544,546,574,575,577,
578,579,580,581,582,584,585,661,662,665,666,676,953,972,973,974,975,1071,1075,
1319],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,18,19,20,21,23,24,27,28,29,30,32,
33,34,35,47,48,50,51,52,54,55,56,57,58,60,61,62,63,65,66,67,68,69,70,71,72,73,
74,75,76,77,78,79,80,81,82,83,84,85,88,97,98,99,100,101,102,103,104,105,106,
107,108,109,110,114,115,116,117,118,121,124,126,127,128,133,134,136,137,140,
143,144,145,147,148,149,150,151,154,160,197,198,199,200,201,202,203,205,206,
207,208,216,217,218,219,220,221,223,225,229,236,237,239,241,242,244,247,248,
249,251,276,277,280,288,289,290,291,311,312,313,317,318,319,320,344,345,346,
347,350,352,354,355,356,357,360,361,362,363,364,365,368,369,370,371,375,377,
378,379,381,382,383,386,387,388,391,392,393,394,395,399,400,401,402,407,408,
409,411,412,413,414,509,510,513,514,515,516,518,519,520,521,524,526,529,530,
533,534,535,536,537,538,540,541,544,545,556,557,560,561,589,590,592,594,595,
597,601,602,603,604,605,606,613,614,615,616,638,642,650,651,655,657,658,659,
660,669,675,676,952,962,977,979,981,982,983,984,985,1070,1072,1074,1075,
1320],[1,2,3,4,5,8,9,10,11,12,13,14,15,27,31,32,33,47,80,81,82,83,84,85,86,87,
88,89,100,101,102,123,124,143,144,145,146,147,156,162,194,221,222,223,228,229,
230,231,257,269,335,336,337,374,375,376,377,378,379,380,409,420,432,433,523,
524,525,573,617,670,681,688,711,712,736,749,832,1003,1031,1038,1076,1112,
1321],[1,2,3,4,8,9,10,11,12,18,21,22,23,24,32,33,35,49,57,58,59,61,63,64,65,
69,80,81,100,103,121,125,126,127,133,136,143,144,145,146,153,161,195,203,204,
206,229,230,232,235,259,264,276,292,309,320,341,345,381,382,383,384,385,388,
410,411,430,431,506,526,527,591,601,647,677,678,703,713,738,762,811,1001,1024,
1039,1077,1108,1322],[1,2,3,4,8,9,10,11,12,18,21,22,23,24,32,33,34,36,53,57,
58,59,61,63,64,65,69,80,81,101,103,104,118,122,125,126,127,133,135,137,138,
143,144,145,146,152,155,161,196,203,204,206,229,230,233,238,240,259,265,266,
277,279,287,293,310,314,319,321,341,343,347,348,381,382,383,384,385,387,389,
410,411,430,431,507,526,527,593,596,604,608,648,649,677,678,702,704,714,715,
738,763,764,808,812,1001,1023,1025,1040,1041,1079,1109,1323],[1,2,3,4,8,9,10,
11,12,18,21,22,23,24,32,33,34,36,47,53,57,58,59,61,63,64,65,69,80,81,82,100,
101,103,104,118,122,125,126,127,133,134,135,137,138,143,144,145,147,152,155,
160,165,196,203,204,206,221,229,233,234,238,240,243,244,251,254,265,266,268,
269,277,279,281,282,287,293,305,306,310,314,319,321,335,336,341,342,343,347,
348,374,375,381,382,383,386,387,388,389,390,391,410,411,422,423,428,429,507,
508,526,528,529,548,549,593,596,604,608,622,633,648,649,680,686,687,702,704,
705,707,712,714,715,740,741,752,763,764,773,797,798,800,804,806,815,1005,1023,
1025,1037,1042,1043,1047,1088,1091,1111,1115,1324],[1,2,3,4,8,9,10,11,12,18,
21,22,23,24,32,33,35,36,47,49,53,57,58,59,61,63,65,69,80,81,82,100,101,103,
104,121,122,125,126,127,133,134,135,136,138,143,144,145,147,153,155,160,165,
195,196,203,206,221,229,232,233,235,240,244,251,253,264,266,268,269,276,279,
281,282,292,293,305,306,309,314,320,321,335,336,341,343,345,348,374,375,381,
382,383,386,387,388,389,391,410,411,423,428,506,507,526,529,548,549,591,596,
601,608,622,633,647,649,679,687,703,704,705,707,712,713,715,739,752,762,764,
773,796,799,801,805,807,816,1004,1024,1025,1037,1044,1045,1046,1087,1090,1110,
1114,1325],[1,2,3,4,5,8,9,10,11,12,13,14,15,18,21,22,27,32,33,34,35,36,47,53,
57,58,59,64,65,80,81,82,83,84,85,88,100,101,102,103,104,111,112,113,124,128,
133,134,135,136,137,138,139,140,143,144,145,147,165,196,203,204,221,223,228,
229,233,234,243,244,249,250,254,264,265,266,268,276,277,278,279,280,281,282,
283,284,285,287,292,293,304,305,341,342,343,374,375,377,378,379,386,387,388,
389,390,391,396,397,398,409,412,422,423,428,429,507,508,524,528,529,551,552,
553,554,555,558,559,632,638,639,680,686,687,702,703,704,705,706,708,709,740,
741,750,767,768,769,804,805,806,807,815,816,1005,1032,1035,1036,1048,1049,
1050,1083,1084,1110,1111,1326],[1,2,3,4,5,8,9,10,11,12,13,14,15,22,27,31,32,
33,36,47,59,64,80,81,82,83,84,85,86,87,88,89,101,102,103,104,113,123,124,128,
135,138,139,143,144,145,147,156,162,204,221,222,223,228,229,231,243,250,257,
266,268,278,279,281,282,285,293,304,305,374,376,377,378,379,380,386,389,390,
398,409,412,420,432,433,524,525,528,553,554,555,558,632,639,681,688,704,705,
706,709,736,750,769,795,802,1003,1032,1036,1062,1065,1101,1113,1327],[1,2,3,4,
5,8,9,10,11,12,13,14,15,18,21,22,27,32,33,34,35,36,47,57,58,59,64,65,80,81,82,
83,84,85,88,100,101,102,103,104,111,112,113,124,133,134,135,136,137,138,139,
140,143,144,145,146,147,165,194,203,204,221,223,228,229,230,243,244,249,250,
258,264,265,266,269,276,277,278,279,280,283,284,285,287,292,293,335,336,337,
374,375,377,378,379,386,387,388,389,390,391,396,397,398,409,428,429,523,524,
528,529,551,552,553,558,559,573,617,638,639,670,679,680,702,703,704,708,709,
711,712,737,749,767,768,769,796,797,798,799,800,801,1002,1031,1035,1036,1063,
1064,1066,1102,1103,1114,1115,1328],[1,2,3,4,8,9,10,11,12,32,34,35,36,47,80,
81,82,100,101,136,137,138,139,140,147,163,164,194,221,228,249,250,255,256,274,
275,276,277,278,279,280,374,375,523,638,639,800,801,841,842,1008,1066,1122,
1329],[1,2,3,4,8,9,10,12,18,21,32,33,36,49,57,58,65,80,100,103,133,138,143,
147,155,160,161,165,195,203,232,240,251,258,259,268,269,279,282,306,314,336,
341,388,506,633,649,799,807,838,840,1010,1045,1119,1330],[1,2,3,4,8,9,10,12,
18,21,22,32,33,34,35,36,53,57,58,59,65,80,101,103,104,133,135,136,137,138,143,
147,152,153,155,160,161,165,196,203,233,235,238,240,251,258,259,268,269,276,
277,279,282,306,309,310,314,336,341,343,387,389,507,633,647,648,649,796,797,
798,804,805,806,838,840,1010,1042,1043,1044,1117,1118,1120,1331],[1,2,3,4,8,9,
10,11,12,22,32,33,34,35,36,47,59,64,80,81,82,101,103,104,135,136,137,138,139,
140,143,146,147,163,164,204,221,228,230,243,249,250,255,256,274,275,276,277,
278,279,280,281,282,335,336,374,386,389,390,528,632,638,639,670,796,797,805,
806,815,816,841,842,1008,1048,1050,1064,1121,1128,1129,1332],[1,2,3,4,5,8,9,
10,11,12,13,14,15,25,26,27,28,29,30,32,33,47,80,81,82,83,84,85,88,90,91,92,93,
94,95,96,97,98,99,100,101,102,124,125,126,127,128,143,144,145,146,147,160,161,
194,221,223,224,225,226,227,228,229,230,251,259,260,267,268,269,304,305,306,
335,336,337,338,374,375,377,378,379,409,410,411,412,413,414,430,431,523,524,
538,546,572,573,617,618,619,620,621,622,626,627,670,671,672,689,690,697,711,
712,724,725,726,738,749,750,751,752,777,778,840,954,986,1012,1031,1147,1152,
1157,1194,1214,1333],[1,2,3,4,5,8,9,10,11,12,13,14,16,17,18,19,20,21,22,23,24,
27,28,30,32,33,34,35,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,
70,71,73,78,80,81,82,83,98,101,102,103,104,106,108,109,110,111,112,114,115,
116,117,118,121,123,124,126,127,128,133,135,136,137,140,141,143,144,145,148,
150,152,153,154,156,160,162,163,196,198,199,200,201,202,203,206,207,208,217,
229,231,233,235,237,238,239,246,247,249,256,257,261,262,263,264,265,270,271,
274,275,277,280,284,286,287,288,289,290,291,292,310,311,312,313,317,319,320,
341,343,344,345,346,347,350,352,358,359,360,363,369,371,376,379,381,382,383,
387,389,392,393,394,396,397,401,408,411,414,426,427,432,433,507,510,512,515,
521,526,534,545,556,559,560,564,589,590,592,593,594,595,597,604,606,611,614,
615,628,629,630,634,642,648,651,655,657,659,691,692,693,694,696,700,702,710,
714,719,720,721,723,727,728,733,734,736,743,753,754,756,757,761,762,763,766,
768,771,774,775,780,784,785,787,789,792,839,842,844,956,977,983,1014,1015,
1023,1026,1140,1145,1151,1155,1158,1161,1181,1185,1192,1208,1211,1213,1334],[
1,2,3,4,5,8,9,10,11,12,13,14,16,17,18,19,20,21,23,24,27,29,30,32,33,34,35,49,
50,51,52,54,55,56,57,58,60,61,62,63,65,66,67,68,69,70,72,74,76,80,81,82,83,97,
100,102,103,105,107,109,110,111,112,114,115,116,117,118,121,123,124,126,127,
128,133,136,137,140,142,143,144,145,149,151,152,153,154,156,160,162,164,195,
198,199,200,201,202,203,206,207,208,216,229,231,232,235,236,238,239,245,247,
249,255,257,261,262,263,264,265,270,271,274,275,276,280,283,286,287,288,289,
290,291,292,309,311,312,313,318,319,320,341,344,345,346,347,350,352,361,364,
366,367,368,370,376,379,381,382,383,388,392,393,395,396,397,401,407,411,413,
424,425,432,433,506,511,514,516,521,526,535,545,557,559,560,563,589,590,591,
592,594,595,597,601,605,610,614,616,628,629,630,635,642,647,650,655,657,658,
691,692,693,694,696,701,703,710,713,718,721,722,723,727,728,732,735,736,742,
753,755,756,758,760,762,763,766,767,772,774,775,779,784,785,786,790,793,839,
841,843,955,977,985,1013,1015,1024,1027,1141,1146,1151,1156,1159,1160,1180,
1186,1191,1209,1210,1213,1335],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,18,19,
20,21,23,24,27,28,29,30,31,32,33,34,35,50,51,52,54,55,56,57,58,60,61,62,63,66,
67,68,69,70,71,72,73,74,76,78,80,81,82,83,84,85,86,87,88,89,97,98,100,101,102,
103,104,105,106,107,108,109,110,111,112,114,115,116,117,118,121,123,124,126,
127,128,133,134,135,136,137,140,141,142,144,147,148,149,150,151,152,153,154,
156,160,163,164,165,198,199,200,201,202,206,207,208,216,217,222,223,231,232,
233,235,236,237,238,239,244,245,246,247,249,253,255,256,261,262,263,264,265,
270,271,274,275,276,277,280,283,284,286,287,288,289,290,291,292,309,310,311,
312,313,317,318,319,320,341,344,345,346,347,360,361,363,364,368,369,370,371,
376,379,380,381,382,387,388,392,393,394,395,396,397,399,400,401,402,403,404,
405,406,407,408,412,413,414,420,423,424,425,426,427,428,510,514,515,516,525,
530,531,532,533,534,535,545,551,552,556,557,560,563,564,565,590,592,595,597,
601,604,605,606,610,611,613,614,615,616,628,629,630,636,650,651,652,653,655,
657,658,659,669,691,692,693,694,699,700,701,708,710,713,714,716,717,718,719,
721,723,730,732,733,734,735,739,742,743,753,754,755,756,757,758,760,761,762,
763,767,768,770,771,772,774,775,779,780,782,783,786,787,789,790,792,793,841,
842,843,844,845,957,979,983,985,1013,1014,1015,1028,1029,1034,1142,1143,1144,
1153,1155,1156,1163,1165,1166,1178,1179,1182,1183,1187,1188,1208,1209,1210,
1211,1212,1336],[1,2,3,4,5,8,9,10,11,12,13,14,15,22,23,24,25,26,27,28,29,30,
32,33,47,59,61,63,64,69,80,81,82,83,84,85,88,90,91,92,93,94,95,96,97,98,99,
100,101,102,103,104,124,125,126,127,128,133,134,135,143,144,145,146,147,160,
161,165,204,206,221,223,224,225,226,227,228,229,230,243,244,251,258,259,260,
267,268,269,281,282,304,305,306,335,336,337,338,374,375,377,378,379,384,385,
386,389,390,401,402,407,408,409,410,411,412,413,414,428,429,430,431,524,527,
528,530,537,538,546,548,549,554,555,562,572,617,618,619,620,621,622,626,627,
632,637,644,671,672,689,690,695,697,705,706,707,711,724,725,726,729,737,738,
749,750,751,752,773,776,777,778,791,794,838,840,958,963,986,1011,1012,1032,
1033,1138,1139,1150,1152,1164,1167,1189,1190,1193,1207,1214,1337],[1,2,3,4,5,
8,9,10,11,12,13,14,15,27,32,33,34,35,36,47,80,81,82,83,84,85,88,100,101,102,
124,136,137,138,139,140,141,142,143,144,145,146,147,194,221,223,228,229,230,
245,246,249,250,261,262,263,269,276,277,278,279,280,286,335,336,337,374,375,
377,378,379,409,523,524,573,617,636,638,639,670,696,711,712,749,792,793,795,
800,801,1018,1031,1062,1066,1129,1338],[1,2,3,4,5,8,9,10,11,12,13,14,15,22,27,
32,33,34,35,47,59,64,80,81,82,83,84,85,88,101,102,103,104,124,128,135,136,137,
140,141,142,143,144,145,146,147,204,221,223,228,229,230,243,245,246,249,261,
262,263,268,276,277,280,281,282,286,304,305,335,336,374,377,378,379,386,389,
390,409,412,524,528,554,555,632,636,638,670,696,705,706,750,792,793,796,797,
832,1018,1032,1038,1064,1128,1339],[1,2,3,4,5,8,9,10,11,12,13,14,15,18,21,27,
32,33,34,35,36,47,57,58,65,80,81,82,83,84,85,88,100,101,102,103,104,111,112,
124,133,134,136,137,138,139,140,143,144,145,146,147,160,203,221,223,228,229,
230,244,249,250,251,264,265,267,268,276,277,278,279,280,281,282,283,284,287,
292,306,335,336,375,377,378,379,386,387,388,391,396,397,409,524,529,551,552,
559,632,633,638,639,670,695,702,703,708,767,768,778,794,798,799,802,832,1016,
1035,1038,1063,1065,1128,1129,1340],[1,2,3,4,8,9,10,11,12,18,21,22,23,24,32,
33,34,35,53,57,58,59,61,63,65,69,80,81,101,103,104,118,126,127,133,135,136,
137,143,144,145,146,147,152,153,160,196,203,206,229,230,233,235,238,243,251,
260,265,267,269,276,277,282,287,305,306,309,310,319,336,341,343,347,381,382,
383,387,389,411,507,526,593,604,633,637,647,648,697,702,714,763,777,791,796,
805,811,1017,1023,1039,1044,1120,1341],[1,2,3,4,8,9,10,11,12,18,21,23,24,32,
33,35,36,49,57,58,61,63,65,69,80,81,100,103,121,126,127,133,135,136,138,143,
144,145,146,147,153,155,160,195,203,206,229,230,232,235,240,243,251,260,264,
267,269,276,279,282,292,305,306,309,314,320,336,341,345,381,382,383,388,411,
506,526,591,601,633,637,647,649,697,703,713,762,777,791,799,807,808,1017,1024,
1040,1045,1117,1342],[1,2,3,4,8,9,10,11,12,18,21,22,23,24,32,33,34,36,53,57,
58,59,61,63,65,69,80,81,101,103,104,122,126,127,133,135,137,138,143,144,145,
146,147,152,155,160,196,203,206,229,230,233,238,240,243,251,260,266,267,269,
277,279,282,293,305,306,310,314,321,336,341,343,348,381,382,383,387,389,411,
507,526,596,608,633,637,648,649,697,704,715,764,777,791,797,798,804,806,812,
1017,1025,1041,1042,1043,1118,1119,1343],[1,2,3,4,5,8,9,10,11,12,13,14,15,22,
27,32,33,34,35,36,47,59,64,80,81,82,83,84,85,88,101,102,103,104,113,124,135,
136,137,138,139,140,141,142,143,144,145,147,204,221,223,228,229,243,245,246,
249,250,261,262,263,266,276,277,278,279,280,281,282,285,286,293,374,377,378,
379,386,389,390,398,409,524,528,553,558,632,636,638,639,696,704,709,769,792,
793,802,805,806,815,816,1018,1036,1048,1050,1065,1121,1122,1344],[1,2,3,4,8,9,
10,11,12,18,21,23,24,32,33,34,35,36,47,57,58,61,63,65,69,80,81,82,100,101,103,
104,125,126,127,133,134,136,137,138,140,143,144,145,147,152,153,155,160,203,
206,221,229,235,238,240,244,249,251,268,269,270,271,276,277,279,280,281,282,
305,306,309,310,314,335,336,374,375,381,382,383,386,387,388,391,410,411,526,
529,548,549,622,633,638,647,648,649,699,705,707,712,752,773,786,787,801,811,
812,816,1019,1037,1039,1041,1046,1117,1120,1345],[1,2,3,4,8,9,10,11,12,18,21,
23,24,32,33,34,36,47,57,58,61,63,65,69,80,81,82,100,101,103,104,125,126,127,
133,134,137,138,139,143,144,145,147,152,155,160,203,206,221,229,238,240,244,
250,251,268,269,272,273,277,278,279,281,282,305,306,310,314,335,336,374,375,
381,382,383,386,387,388,391,410,411,526,529,548,549,622,633,639,648,649,698,
705,707,712,752,773,788,800,808,812,815,1020,1037,1040,1041,1047,1118,1119,
1346],[1,2,3,4,5,8,9,10,11,12,13,14,15,18,21,27,32,33,34,35,36,47,57,58,65,80,
81,82,83,84,85,88,100,101,102,103,104,111,112,124,133,134,136,137,138,139,140,
143,144,145,147,155,203,221,223,228,229,240,244,249,250,264,265,272,273,276,
277,278,279,280,281,282,283,284,287,292,314,375,377,378,379,386,387,388,391,
396,397,409,524,529,551,552,559,632,638,639,649,698,702,703,708,767,768,788,
795,802,804,807,1020,1035,1049,1062,1065,1121,1122,1347],[1,2,3,4,5,8,9,10,11,
12,13,14,15,16,17,18,19,20,21,23,24,27,28,29,30,32,33,36,47,57,58,60,61,62,63,
65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,88,97,98,99,
100,101,102,103,104,124,126,127,128,133,134,138,139,143,144,145,147,160,203,
205,206,207,208,216,217,218,219,220,221,223,225,229,244,247,248,250,251,278,
279,315,316,375,377,378,379,381,382,383,386,387,388,391,401,402,407,408,409,
411,412,413,414,524,526,529,530,534,535,536,537,538,540,541,639,656,675,809,
810,831,992,1051,1052,1074,1348],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,18,19,
20,21,23,24,27,28,29,30,32,33,34,36,47,57,58,60,61,62,63,65,66,67,68,69,70,71,
72,73,74,75,76,77,78,79,80,81,82,83,84,85,88,97,98,99,100,101,102,103,104,124,
126,127,128,133,134,137,138,143,144,145,147,152,155,160,203,205,206,207,208,
216,217,218,219,220,221,223,225,229,238,240,244,247,248,251,277,279,310,314,
327,329,330,332,375,377,378,379,381,382,383,386,387,388,391,401,402,407,408,
409,411,412,413,414,524,526,529,530,534,535,536,537,538,540,541,648,649,663,
664,675,800,812,815,989,990,1041,1047,1074,1349],[1,2,3,4,5,8,9,10,11,12,13,
14,15,16,17,18,19,20,21,23,24,27,28,29,30,32,33,35,36,47,57,58,60,61,62,63,65,
66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,88,97,98,99,100,
101,102,103,104,124,126,127,128,133,134,136,138,143,144,145,147,153,155,160,
203,205,206,207,208,216,217,218,219,220,221,223,225,229,235,240,244,247,248,
251,276,279,309,314,333,334,375,377,378,379,381,382,383,386,387,388,391,401,
402,407,408,409,411,412,413,414,524,526,529,530,534,535,536,537,538,540,541,
647,649,667,675,801,808,811,816,991,1039,1040,1046,1074,1350],[1,2,3,4,5,8,9,
10,11,12,13,14,15,16,17,18,19,20,21,23,24,27,28,29,30,32,33,36,47,57,58,60,61,
62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,88,97,98,
99,100,101,102,103,104,124,126,127,128,133,134,138,139,143,144,145,147,160,
203,205,206,207,208,216,217,218,219,220,221,223,225,228,229,244,247,248,250,
251,278,279,281,282,315,316,375,377,378,379,381,382,383,386,387,388,391,401,
402,407,408,409,411,412,413,414,524,526,529,530,534,535,536,537,538,540,541,
632,639,656,675,802,804,807,988,992,1049,1065,1074,1351],[1,2,3,4,5,8,9,10,11,
12,13,14,15,16,17,18,19,20,21,23,24,27,28,29,30,34,35,37,48,50,52,54,55,56,57,
58,60,62,63,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,82,83,84,85,88,97,98,
99,105,106,107,108,109,110,114,115,116,117,118,121,136,137,140,148,149,150,
151,152,154,157,158,159,197,199,200,201,203,205,208,216,217,218,219,220,223,
225,236,237,238,239,241,242,249,252,277,296,297,298,299,307,310,330,332,339,
344,345,346,347,350,352,354,355,356,357,360,361,362,363,364,365,368,369,370,
371,392,393,394,395,399,400,509,510,513,514,515,516,518,519,520,521,533,541,
544,640,641,648,664,673,676,817,823,826,989,997,1058,1059,1075,1352],[1,2,3,4,
5,8,9,10,11,12,13,14,15,16,17,18,19,20,21,23,24,27,28,29,30,34,35,36,37,48,50,
52,54,55,56,57,58,60,62,63,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,82,83,
84,85,88,97,98,99,105,106,107,108,109,110,114,115,116,117,118,121,136,137,138,
140,148,149,150,151,154,155,157,158,159,197,199,200,201,203,205,208,216,217,
218,219,220,223,225,236,237,239,240,241,242,249,252,279,296,297,298,299,307,
314,327,329,339,344,345,346,347,350,352,354,355,356,357,360,361,362,363,364,
365,368,369,370,371,392,393,394,395,399,400,509,510,513,514,515,516,518,519,
520,521,533,541,544,640,641,649,663,673,676,822,824,825,990,997,1054,1055,
1075,1353],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,18,19,20,21,23,24,27,28,29,
30,32,33,37,47,57,58,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,
80,81,82,83,84,85,88,97,98,99,100,101,102,103,104,124,126,127,128,133,134,143,
144,145,147,157,158,159,160,203,205,206,207,208,216,217,218,219,220,221,223,
225,229,244,247,248,251,252,296,297,298,299,307,339,375,377,378,379,381,382,
383,386,387,388,391,401,402,407,408,409,411,412,413,414,524,526,529,530,534,
535,536,537,538,540,541,640,641,673,675,803,833,835,997,1067,1068,1074,1354],[
1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,18,19,20,21,23,24,27,28,29,30,32,33,36,
47,57,58,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,
84,85,88,97,98,99,100,101,102,103,104,124,126,127,128,133,134,138,139,143,144,
145,146,147,160,203,205,206,207,208,216,217,218,219,220,221,223,225,229,230,
244,247,248,250,251,278,279,294,295,335,336,375,377,378,379,381,382,383,386,
387,388,391,401,402,407,408,409,411,412,413,414,524,526,529,530,534,535,536,
537,538,540,541,639,643,670,675,795,798,799,832,996,1038,1062,1063,1074,
1355],[1,2,3,4,8,9,10,11,12,18,21,22,32,33,36,47,49,53,57,58,59,65,80,81,82,
100,101,103,104,133,134,135,138,139,143,146,147,155,160,165,195,196,203,221,
228,230,232,233,240,244,250,251,253,267,268,272,273,278,279,281,282,306,314,
335,336,341,343,375,386,387,388,389,391,423,428,506,507,529,632,633,639,649,
670,679,687,695,698,739,778,788,794,798,799,804,807,1004,1016,1020,1042,1045,
1049,1063,1222,1356],[1,2,3,4,8,9,10,11,12,18,21,22,32,33,34,35,47,53,57,58,
59,64,65,80,81,82,100,101,103,104,133,134,135,136,137,140,143,146,147,152,153,
160,165,196,203,204,221,228,230,233,234,235,238,243,244,249,251,254,267,268,
270,271,276,277,280,281,282,306,309,310,335,336,341,342,343,374,375,386,387,
388,389,390,391,422,423,428,429,507,508,528,529,632,633,638,647,648,670,680,
686,687,695,699,740,741,778,786,787,794,796,797,805,806,1005,1016,1019,1043,
1044,1050,1064,1221,1357],[1,2,3,4,8,9,10,11,12,18,21,22,32,34,35,36,47,57,58,
59,64,65,80,81,82,100,101,103,104,133,134,135,136,137,138,139,140,147,152,153,
155,165,194,203,204,221,228,235,238,240,243,244,249,250,258,270,271,272,273,
276,277,278,279,280,309,310,314,374,375,386,387,388,389,390,391,428,429,523,
528,529,638,639,647,648,649,679,680,698,699,737,786,787,788,800,801,815,816,
1002,1019,1020,1046,1047,1048,1066,1220,1358],[1,2,3,4,5,8,9,10,11,12,13,14,
15,16,17,18,19,20,21,23,24,27,28,29,30,32,33,47,57,58,60,61,62,63,65,66,67,68,
69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,88,97,98,99,100,101,102,
103,104,124,126,127,128,133,134,143,144,145,147,160,166,203,205,206,207,208,
216,217,218,219,220,221,223,225,229,244,247,248,251,375,377,378,379,381,382,
383,386,387,388,391,401,402,407,408,409,411,412,413,414,434,435,436,524,526,
529,530,534,535,536,537,538,540,541,675,745,746,747,748,837,856,1074,1148,
1149,1168,1359],[1,2,3,4,5,8,9,10,12,13,14,15,16,17,18,19,20,21,27,28,29,30,
32,33,34,36,49,57,58,60,62,65,71,72,73,74,75,76,77,78,79,80,83,84,85,88,97,98,
99,100,103,112,115,116,133,134,137,138,143,144,145,147,152,155,160,195,203,
205,216,217,218,219,220,223,225,229,232,238,240,244,247,248,251,277,279,282,
284,304,306,310,314,317,327,329,336,337,338,341,346,366,367,388,397,506,511,
541,551,602,611,633,644,648,649,653,663,671,672,675,799,807,968,990,1045,1073,
1118,1360],[1,2,3,4,5,8,9,10,12,13,14,15,16,17,18,19,20,21,22,27,28,29,30,32,
33,34,35,53,57,58,59,60,62,65,71,72,73,74,75,76,77,78,79,80,83,84,85,88,97,98,
99,101,103,104,111,114,117,133,134,135,136,137,143,144,145,147,152,153,160,
196,203,205,216,217,218,219,220,223,225,229,233,235,238,244,247,248,251,276,
277,282,283,304,306,309,310,318,330,332,336,337,338,341,343,344,358,359,387,
389,396,507,512,541,552,603,610,633,644,647,648,652,664,671,672,675,797,806,
969,989,1043,1073,1120,1361],[1,2,3,4,5,8,9,10,12,13,14,15,16,17,18,19,20,21,
22,27,28,29,30,32,33,35,36,53,57,58,59,60,62,65,71,72,73,74,75,76,77,78,79,80,
83,84,85,88,97,98,99,101,103,104,113,119,120,133,134,135,136,138,143,144,145,
147,153,155,160,196,203,205,216,217,218,219,220,223,225,229,233,235,240,244,
247,248,251,276,279,282,285,304,306,309,314,322,333,334,336,337,338,341,343,
349,372,373,387,389,398,507,517,541,553,607,612,633,644,647,649,654,667,671,
672,675,796,798,804,805,970,991,1042,1044,1073,1117,1119,1362],[1,2,3,4,8,9,
10,11,12,16,17,19,20,22,23,24,32,33,34,35,47,59,60,61,62,63,64,66,67,68,69,70,
80,81,82,101,103,104,125,126,127,135,136,137,140,143,146,147,148,149,150,151,
154,204,205,206,207,208,221,228,230,236,237,239,241,242,243,249,276,277,280,
281,282,305,306,311,312,313,335,336,374,384,385,386,389,390,410,411,527,528,
540,549,550,622,632,637,638,650,651,655,670,676,805,806,960,988,1050,1070,
1128,1363],[1,2,3,4,8,9,10,11,12,16,17,19,20,23,24,32,34,35,36,47,60,61,62,63,
66,67,68,69,70,80,81,82,100,101,136,137,138,139,140,147,148,149,150,151,154,
194,205,206,207,208,221,228,236,237,239,241,242,249,250,276,277,278,279,280,
281,282,311,312,313,315,316,374,375,523,540,547,548,632,638,639,650,651,655,
656,676,800,801,959,992,1066,1070,1121,1364],[1,2,3,4,8,9,10,11,12,16,17,19,
20,22,23,24,32,33,34,35,36,47,59,60,61,62,63,64,66,67,68,69,70,80,81,82,101,
103,104,119,120,122,135,136,137,138,139,140,143,146,147,148,149,150,151,154,
204,205,206,207,208,221,230,236,237,239,241,242,243,249,250,276,277,278,279,
280,294,295,311,312,313,321,322,335,336,348,349,351,353,374,386,389,390,522,
528,540,607,608,609,638,639,643,650,651,655,668,670,676,796,797,815,816,980,
996,1048,1064,1070,1122,1129,1365],[1,2,3,4,5,8,9,10,12,13,14,15,16,17,18,19,
20,21,27,28,29,30,31,33,34,35,36,57,58,60,62,65,71,72,73,74,75,76,77,78,79,80,
83,84,85,86,87,88,89,97,98,99,102,105,106,107,108,111,112,123,124,136,137,138,
140,141,142,144,148,149,150,151,154,155,156,203,205,216,217,218,219,220,222,
223,225,231,236,237,239,240,241,242,245,246,249,279,280,286,287,288,289,292,
314,323,324,325,326,327,328,329,331,376,379,380,394,395,396,397,403,404,405,
406,420,525,531,532,541,559,561,563,564,634,635,636,649,661,662,663,665,666,
676,829,830,965,990,1061,1071,1123,1366],[1,2,3,4,5,8,9,10,12,13,14,15,16,17,
18,19,20,21,27,28,29,30,31,33,34,35,57,58,60,62,65,71,72,73,74,75,76,77,78,79,
80,83,84,85,86,87,88,89,97,98,99,102,105,106,107,108,111,112,123,124,136,137,
140,141,142,144,148,149,150,151,152,154,156,203,205,216,217,218,219,220,222,
223,225,231,236,237,238,239,241,242,245,246,249,277,280,286,287,288,289,292,
310,323,324,325,326,328,330,331,332,376,379,380,394,395,396,397,403,404,405,
406,420,525,531,532,541,559,561,563,564,634,635,636,648,661,662,664,665,666,
676,827,828,965,989,1060,1071,1124,1367],[1,2,3,4,5,8,9,10,12,13,14,15,16,17,
18,19,20,21,22,27,28,29,30,32,34,35,37,53,57,58,59,60,62,65,71,72,73,74,75,76,
77,78,79,80,83,84,85,88,97,98,99,101,103,104,111,114,117,133,135,136,137,140,
148,149,150,151,153,154,157,158,159,196,203,205,216,217,218,219,220,223,225,
233,235,236,237,239,241,242,249,252,276,283,296,297,298,299,307,309,318,323,
324,325,326,328,331,339,341,343,344,358,359,387,389,396,507,512,541,552,603,
610,640,641,647,652,661,662,665,666,673,676,818,819,969,997,1057,1071,1126,
1368],[1,2,3,4,5,8,9,10,12,13,14,15,16,17,18,19,20,21,27,28,29,30,32,34,35,37,
49,57,58,60,62,65,71,72,73,74,75,76,77,78,79,80,83,84,85,88,97,98,99,100,103,
112,115,116,133,136,137,140,148,149,150,151,152,154,157,158,159,195,203,205,
216,217,218,219,220,223,225,232,236,237,238,239,241,242,249,252,277,284,296,
297,298,299,307,310,317,323,324,325,326,328,331,339,341,346,366,367,388,397,
506,511,541,551,602,611,640,641,648,653,661,662,665,666,673,676,820,821,968,
997,1056,1071,1127,1369],[1,2,3,4,8,9,10,11,12,16,17,19,20,22,23,24,32,33,34,
35,36,47,59,60,61,62,63,64,66,67,68,69,70,80,81,82,101,103,104,125,126,127,
135,136,137,138,139,140,143,146,147,148,149,150,151,154,204,205,206,207,208,
221,230,236,237,239,241,242,243,249,250,276,277,278,279,280,305,306,311,312,
313,315,316,335,336,374,384,385,386,389,390,410,411,527,528,540,549,550,622,
637,638,639,650,651,655,656,670,676,813,814,960,992,1053,1070,1125,1370],[1,2,
3,4,5,8,9,10,12,13,14,15,16,17,18,19,20,21,27,28,29,30,31,32,33,34,35,37,57,
58,60,62,65,71,72,73,74,75,76,77,78,79,80,83,84,85,86,87,88,89,97,98,99,102,
105,106,107,108,111,112,123,124,133,134,136,137,141,142,143,144,145,147,156,
157,158,159,160,203,205,216,217,218,219,220,222,223,225,229,231,244,245,246,
247,248,251,252,280,282,286,287,288,289,292,296,297,298,299,304,306,307,336,
337,338,339,376,379,380,394,395,396,397,403,404,405,406,420,525,531,532,541,
559,561,563,564,633,634,635,636,640,641,644,671,672,673,675,834,836,965,997,
1069,1073,1130,1371],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,
24,27,28,29,30,32,33,47,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,
75,76,77,78,79,80,81,82,83,84,85,88,97,98,99,100,101,102,103,104,124,125,126,
127,128,133,134,135,143,144,145,146,147,160,165,194,203,204,205,206,207,208,
216,217,218,219,220,221,223,225,228,229,230,243,244,247,248,251,258,267,268,
269,281,282,304,305,306,335,336,337,374,375,377,378,379,381,382,383,384,385,
386,387,388,389,390,391,401,402,407,408,409,410,411,412,413,414,428,429,523,
524,526,527,528,529,530,534,535,536,537,538,540,541,547,548,549,550,554,555,
562,573,617,619,622,627,632,633,637,644,670,675,679,680,695,705,706,707,711,
712,729,737,749,750,752,773,776,778,791,794,838,959,960,964,1002,1016,1031,
1032,1037,1074,1131,1150,1157,1167,1189,1193,1372],[1,2,3,4,5,8,9,10,11,12,13,
14,15,16,17,18,19,20,21,23,24,27,28,29,30,31,32,33,34,35,47,57,58,60,61,62,63,
65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,97,
98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,123,124,126,127,128,
133,134,136,137,140,141,142,143,144,145,147,156,160,162,203,205,206,207,208,
216,217,218,219,220,221,222,223,225,229,231,244,245,246,247,248,249,251,257,
261,262,263,264,265,276,277,280,283,284,286,287,288,289,290,291,292,375,376,
377,378,379,380,381,382,383,386,387,388,391,392,393,394,395,396,397,399,400,
401,402,403,404,405,406,407,408,409,411,412,413,414,420,432,433,524,525,526,
529,530,531,532,533,534,535,536,537,538,540,541,551,552,556,557,559,560,561,
563,564,565,628,629,634,635,636,638,642,675,681,688,696,702,703,708,710,727,
728,736,767,768,770,771,772,774,775,789,790,792,793,839,962,965,1003,1018,
1034,1035,1074,1133,1151,1165,1166,1191,1192,1373],[1,2,3,4,5,8,9,10,11,12,13,
14,15,16,17,18,19,20,21,22,23,24,27,28,29,30,32,33,47,57,58,59,60,61,62,63,64,
65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,88,97,98,99,
100,101,102,103,104,124,125,126,127,128,133,134,135,143,144,145,146,147,160,
161,203,204,205,206,207,208,216,217,218,219,220,221,223,225,229,230,243,244,
247,248,251,259,260,267,268,269,281,282,305,306,335,336,337,338,374,375,377,
378,379,381,382,383,384,385,386,387,388,389,390,391,401,402,407,408,409,410,
411,412,413,414,430,431,524,526,527,528,529,530,534,535,536,537,538,540,541,
548,549,550,555,562,620,621,622,626,627,633,637,670,672,675,677,678,697,705,
707,712,724,725,726,738,749,751,752,773,776,777,791,794,840,960,961,1001,1017,
1033,1037,1074,1132,1152,1164,1167,1190,1194,1374],[1,2,3,4,5,8,9,10,11,12,13,
14,15,16,17,18,19,20,21,22,23,24,27,28,29,30,32,33,34,35,47,49,53,57,58,59,60,
61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,88,97,
98,99,100,101,102,103,104,111,112,114,115,116,117,118,121,124,126,127,128,133,
134,135,136,137,140,143,144,145,147,152,153,160,165,195,196,203,205,206,207,
208,216,217,218,219,220,221,223,225,229,232,233,235,238,244,247,248,249,251,
253,264,265,270,271,276,277,280,283,284,287,292,309,310,317,318,319,320,341,
343,344,345,346,347,350,352,358,359,366,367,375,377,378,379,381,382,383,386,
387,388,389,391,396,397,401,402,407,408,409,411,412,413,414,423,428,506,507,
511,512,521,524,526,529,530,534,535,536,537,538,540,541,551,552,559,591,593,
601,602,603,604,605,606,610,611,630,638,647,648,652,653,669,675,679,687,699,
702,703,708,713,714,730,739,757,758,762,763,766,767,768,779,780,786,787,845,
968,969,981,1004,1019,1023,1024,1035,1074,1134,1153,1160,1161,1182,1183,
1375],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,27,28,29,30,
32,33,36,47,53,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,
78,79,80,81,82,83,84,85,88,97,98,99,100,101,102,103,104,113,119,120,122,124,
126,127,128,133,134,135,138,139,143,144,145,147,155,160,165,196,203,204,205,
206,207,208,216,217,218,219,220,221,223,225,229,233,234,240,243,244,247,248,
250,251,254,266,272,273,278,279,285,293,314,321,322,341,342,343,348,349,351,
353,372,373,374,375,377,378,379,381,382,383,386,387,388,389,390,391,398,401,
402,407,408,409,411,412,413,414,422,423,428,429,507,508,517,522,524,526,528,
529,530,534,535,536,537,538,540,541,553,558,596,607,608,609,612,631,639,649,
654,668,675,680,686,687,698,704,709,715,731,740,741,759,764,765,769,781,788,
846,970,980,1005,1020,1025,1036,1074,1135,1154,1162,1184,1376],[1,2,3,4,5,8,9,
10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,27,28,29,30,31,32,33,34,35,48,50,
52,53,54,55,56,57,58,59,60,62,63,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,
82,83,84,85,86,87,88,89,97,98,99,101,102,103,104,105,106,107,108,109,110,111,
112,114,115,116,117,118,121,123,124,126,128,133,135,136,137,140,141,142,144,
148,149,150,151,153,154,156,160,164,196,197,199,200,201,203,205,208,216,217,
218,219,220,222,223,225,231,233,235,236,237,239,241,242,245,246,247,249,255,
261,263,264,270,271,274,275,276,280,283,284,286,287,288,289,290,292,309,310,
312,313,317,318,320,341,343,344,345,346,347,350,352,354,355,356,357,358,359,
360,361,362,363,364,365,368,369,370,371,376,379,380,381,387,389,392,393,394,
395,396,397,399,400,401,403,404,405,406,408,414,420,424,425,507,509,510,512,
513,514,515,516,518,519,520,521,525,531,532,533,534,541,544,552,557,559,561,
563,564,565,593,594,595,603,606,610,611,613,616,628,630,634,635,636,647,650,
652,658,660,676,683,684,701,716,717,718,720,721,722,732,735,742,753,754,755,
757,760,761,762,766,768,770,772,774,780,782,783,785,787,790,793,841,843,965,
969,982,1006,1021,1026,1029,1030,1075,1137,1156,1158,1161,1163,1166,1178,1180,
1186,1187,1377],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,18,19,20,21,23,24,27,
28,29,30,31,32,33,34,35,48,49,50,52,54,55,56,57,58,60,62,63,65,66,68,69,70,71,
72,73,74,75,76,77,78,79,80,82,83,84,85,86,87,88,89,97,98,99,100,102,103,105,
106,107,108,109,110,111,112,114,115,116,117,118,121,123,124,127,128,133,136,
137,140,141,142,144,148,149,150,151,152,154,156,160,163,195,197,199,200,201,
203,205,208,216,217,218,219,220,222,223,225,231,232,236,237,238,239,241,242,
245,246,247,249,256,262,263,265,270,271,274,275,277,280,283,284,286,287,288,
289,291,292,309,310,311,313,317,318,319,341,344,345,346,347,350,352,354,355,
356,357,360,361,362,363,364,365,366,367,368,369,370,371,376,379,380,382,388,
392,393,394,395,396,397,399,400,401,403,404,405,406,407,413,420,426,427,506,
509,510,511,513,514,515,516,518,519,520,521,525,531,532,533,535,541,544,551,
556,559,561,563,564,565,589,591,597,602,605,610,611,613,615,629,630,634,635,
636,648,651,653,659,660,676,682,685,700,716,717,719,720,722,723,733,734,743,
754,755,756,758,760,761,763,766,767,770,771,775,779,782,783,784,786,789,792,
842,844,965,968,984,1007,1022,1027,1028,1030,1075,1136,1155,1159,1160,1163,
1165,1179,1181,1185,1188,1378],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,18,19,
20,21,23,24,27,28,29,30,32,33,34,35,47,57,58,60,61,62,63,65,66,67,68,69,70,71,
72,73,74,75,76,77,78,79,80,81,82,83,84,85,88,97,98,99,100,101,102,103,104,124,
126,127,128,133,134,136,137,140,143,144,145,147,148,149,150,151,154,160,203,
205,206,207,208,216,217,218,219,220,221,223,225,229,236,237,239,241,242,244,
247,248,249,251,276,277,280,311,312,313,323,324,325,326,328,331,375,377,378,
379,381,382,383,386,387,388,391,401,402,407,408,409,411,412,413,414,524,526,
529,530,534,535,536,537,538,540,541,638,650,651,655,661,662,665,666,675,676,
853,1070,1071,1074,1169,1379],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,18,19,20,
21,23,24,27,28,29,30,32,33,34,35,48,50,52,54,55,56,57,58,60,62,63,65,66,68,69,
70,71,72,73,74,75,76,77,78,79,80,82,83,84,85,88,97,98,99,105,106,107,108,109,
110,114,115,116,117,118,121,133,134,136,137,140,143,144,145,147,148,149,150,
151,154,160,197,199,200,201,203,205,208,216,217,218,219,220,223,225,229,236,
237,239,241,242,244,247,248,249,251,282,288,289,290,291,304,306,317,318,319,
320,323,324,325,326,328,331,336,337,338,344,345,346,347,350,352,354,355,356,
357,360,361,362,363,364,365,368,369,370,371,392,393,394,395,399,400,509,510,
513,514,515,516,518,519,520,521,533,541,544,633,642,644,657,658,659,660,661,
662,665,666,669,671,672,675,676,853,1071,1072,1073,1075,1169,1380],[1,2,3,4,8,
9,10,11,12,16,17,18,19,20,21,23,24,32,33,34,35,36,47,57,58,60,61,62,63,65,66,
67,68,69,70,80,81,82,100,101,103,104,114,115,116,117,118,121,133,134,136,137,
138,139,140,143,146,147,155,203,205,206,207,208,221,230,240,244,249,250,272,
273,276,277,278,279,280,294,295,314,315,316,317,318,319,320,335,336,344,345,
346,347,350,352,375,386,387,388,391,521,529,540,601,602,603,604,605,606,638,
639,643,649,656,669,670,698,788,798,799,981,992,996,1020,1063,1122,1129,
1381],[1,2,3,4,8,9,10,11,12,16,17,18,19,20,21,23,24,32,33,34,35,36,47,57,58,
60,61,62,63,65,66,67,68,69,70,80,81,82,100,101,103,104,114,115,116,117,118,
121,133,134,136,137,138,139,140,143,146,147,160,203,205,206,207,208,221,228,
230,244,249,250,251,267,268,276,277,278,279,280,281,282,294,295,306,317,318,
319,320,335,336,344,345,346,347,350,352,375,386,387,388,391,521,529,540,601,
602,603,604,605,606,632,633,638,639,643,669,670,695,778,794,804,807,981,988,
996,1016,1049,1121,1128,1382],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,18,19,20,
21,27,28,29,30,32,33,35,36,47,57,58,60,62,65,71,72,73,74,75,76,77,78,79,80,81,
82,83,84,85,88,97,98,99,100,101,103,104,124,126,127,128,133,134,136,138,139,
143,147,153,155,160,203,205,216,217,218,219,220,221,223,225,235,240,244,250,
251,272,273,276,278,279,282,304,306,309,314,327,329,333,334,336,337,375,386,
387,388,391,409,411,412,413,414,529,538,541,547,550,554,562,617,619,633,639,
644,647,649,663,667,698,788,801,816,964,990,991,1020,1046,1117,1119,1383],[1,
2,3,4,5,8,9,10,11,12,13,14,15,16,17,18,19,20,21,27,28,29,30,32,33,34,35,36,47,
57,58,60,62,65,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,88,97,98,99,100,
101,103,104,124,126,127,128,133,134,136,137,138,140,143,147,152,153,155,160,
203,205,216,217,218,219,220,221,223,225,235,238,240,244,249,251,270,271,276,
277,279,280,282,304,306,309,310,314,330,332,333,334,336,337,375,386,387,388,
391,409,411,412,413,414,529,538,541,547,550,554,562,617,619,633,638,644,647,
648,649,664,667,699,786,787,800,815,964,989,991,1019,1047,1118,1120,1384],[1,
2,3,4,8,9,10,11,12,16,17,18,19,20,21,23,24,32,33,34,35,36,50,51,52,54,55,56,
57,58,60,61,62,63,65,66,67,68,69,70,80,81,82,114,115,116,117,118,121,126,127,
135,136,137,138,139,140,143,144,145,146,147,160,198,199,200,201,202,203,206,
207,208,229,230,243,249,250,251,260,267,269,282,288,289,290,291,294,295,305,
306,311,312,313,315,316,321,322,336,344,345,346,347,350,352,381,382,383,411,
521,526,545,589,590,592,594,595,597,633,637,642,643,655,656,668,697,777,791,
809,810,977,995,1017,1052,1125,1385],[1,2,3,4,5,9,12,13,14,15,16,18,19,20,21,
23,25,26,27,28,29,30,32,33,34,35,37,48,50,52,57,60,65,66,71,72,74,75,76,78,79,
83,85,90,91,92,94,95,96,97,99,106,107,108,109,110,115,116,117,118,121,133,136,
137,140,142,144,148,149,150,152,154,156,157,158,159,160,197,209,212,213,215,
216,219,227,231,232,237,238,239,241,245,247,252,262,265,271,274,284,288,289,
292,296,297,302,303,308,317,318,323,325,326,328,330,331,332,340,346,352,354,
355,356,363,364,365,368,371,394,400,513,518,542,575,577,578,581,582,585,635,
640,646,653,660,661,664,665,674,700,779,783,784,789,817,823,975,993,999,1022,
1059,1124,1127,1386],[1,2,3,4,5,9,10,12,13,14,15,16,17,18,19,20,21,23,25,26,
27,28,29,30,32,33,34,35,36,37,48,50,52,58,60,62,65,66,71,72,73,74,75,76,77,78,
79,83,84,85,90,91,92,93,94,95,96,97,98,99,105,107,108,109,110,114,116,117,118,
121,133,135,136,137,138,140,141,144,148,149,151,153,154,155,156,157,158,159,
160,197,210,211,212,213,214,215,217,218,219,220,226,227,231,233,235,236,239,
240,241,246,247,252,261,264,271,275,283,285,287,288,289,298,299,300,301,308,
317,318,322,323,324,326,327,328,329,331,333,334,340,344,352,355,356,357,362,
363,364,368,371,395,400,509,518,543,574,578,579,580,582,584,634,641,645,652,
654,660,662,663,666,667,674,701,780,782,785,790,822,824,974,994,1000,1021,
1054,1123,1126,1387],[1,2,3,4,5,8,9,10,11,12,13,14,15,25,26,27,28,29,30,32,33,
34,35,37,47,80,81,82,83,84,85,88,90,91,92,93,94,95,96,97,98,99,100,101,102,
124,126,127,128,136,137,140,141,142,143,144,145,147,157,158,159,160,221,223,
224,225,226,227,229,245,246,249,251,252,261,262,263,276,277,280,286,300,301,
302,303,304,306,307,336,337,338,339,375,377,378,379,409,411,412,413,414,524,
538,546,572,617,618,619,620,621,636,638,645,646,671,672,673,696,792,793,833,
835,986,998,1018,1068,1130,1388],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,18,19,
20,21,22,23,24,27,28,29,30,32,33,36,53,57,58,59,60,61,62,63,65,69,71,72,73,74,
75,76,77,78,79,80,81,83,84,85,88,97,98,99,101,102,103,104,113,119,120,122,126,
127,128,133,135,138,143,144,145,147,155,160,196,203,205,206,216,217,218,219,
220,223,225,229,233,240,251,266,279,282,285,293,306,314,321,322,327,329,336,
337,338,341,343,348,349,372,373,377,381,382,383,386,387,389,398,407,408,411,
412,507,517,526,537,541,550,553,562,596,607,608,612,620,621,633,649,654,663,
672,704,715,764,798,804,808,961,970,990,1025,1040,1042,1119,1389],[1,2,3,4,5,
8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,27,28,29,30,32,33,34,36,53,
57,58,59,60,61,62,63,65,69,71,72,73,74,75,76,77,78,79,80,81,83,84,85,88,97,98,
99,101,102,103,104,113,118,119,120,126,127,128,133,135,137,138,143,144,145,
147,152,155,160,196,203,205,206,216,217,218,219,220,223,225,229,233,238,240,
251,265,277,279,282,285,287,306,310,314,319,322,330,332,336,337,338,341,343,
347,349,372,373,377,381,382,383,386,387,389,398,407,408,411,412,507,517,526,
537,541,550,553,562,593,604,607,612,620,621,633,648,649,654,664,672,702,714,
763,797,806,812,961,970,989,1023,1041,1043,1118,1390],[1,2,3,4,5,8,9,10,11,12,
13,14,15,16,17,18,19,20,21,22,23,24,27,28,29,30,32,33,35,36,53,57,58,59,60,61,
62,63,65,69,71,72,73,74,75,76,77,78,79,80,81,83,84,85,88,97,98,99,101,102,103,
104,111,114,117,122,126,127,128,133,135,136,138,143,144,145,147,153,155,160,
196,203,205,206,216,217,218,219,220,223,225,229,233,235,240,251,266,276,279,
282,283,293,306,309,314,318,321,333,334,336,337,338,341,343,344,348,358,359,
377,381,382,383,386,387,389,396,407,408,411,412,507,512,526,537,541,550,552,
562,596,603,608,610,620,621,633,647,649,652,667,672,704,715,764,796,805,811,
961,969,991,1025,1039,1044,1117,1391],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,
18,19,20,21,23,24,27,28,29,30,32,33,34,35,36,49,57,58,60,61,62,63,65,69,71,72,
73,74,75,76,77,78,79,80,81,83,84,85,88,97,98,99,100,102,103,104,112,115,116,
121,126,127,128,133,136,137,138,143,144,145,147,152,153,155,160,195,203,205,
206,216,217,218,219,220,223,225,229,232,235,238,240,251,264,276,277,279,282,
284,292,306,309,310,314,317,320,333,334,336,337,338,341,345,346,366,367,377,
381,382,383,386,388,397,407,408,411,412,506,511,526,537,541,550,551,562,591,
601,602,611,620,621,633,647,648,649,653,667,672,703,713,762,799,807,812,961,
968,991,1024,1041,1045,1120,1392],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,19,
20,22,23,24,27,32,33,34,35,36,47,59,60,61,62,63,64,66,67,68,69,70,80,81,82,83,
84,85,88,101,102,103,104,105,106,107,108,109,110,119,120,122,124,128,135,136,
137,138,139,140,143,144,145,147,204,205,206,207,208,221,223,228,229,243,249,
250,268,276,277,278,279,280,281,282,288,289,290,291,304,305,321,322,348,349,
351,353,374,377,378,379,386,389,390,392,393,394,395,399,400,409,412,522,524,
528,533,540,554,555,556,557,560,561,607,608,609,632,638,639,642,668,705,706,
750,802,805,806,962,980,988,1032,1050,1065,1121,1393],[1,2,3,4,5,8,9,10,11,12,
13,14,15,16,17,19,20,22,23,24,27,32,33,34,35,36,47,59,60,61,62,63,64,66,67,68,
69,70,80,81,82,83,84,85,88,101,102,103,104,105,106,107,108,109,110,113,119,
120,122,124,135,136,137,138,139,140,143,144,145,147,204,205,206,207,208,221,
223,229,243,249,250,266,276,277,278,279,280,285,288,289,290,291,293,315,316,
321,322,348,349,351,353,374,377,378,379,386,389,390,392,393,394,395,398,399,
400,409,522,524,528,533,540,553,556,557,558,560,561,607,608,609,638,639,642,
656,668,704,709,769,795,815,816,962,980,992,1036,1048,1062,1122,1394],[1,2,3,
4,5,8,9,10,11,12,13,14,15,16,17,19,20,22,23,24,27,32,33,34,35,36,50,51,52,54,
55,56,59,60,61,62,63,64,66,67,68,69,70,80,81,82,83,84,85,88,102,105,106,107,
108,109,110,119,120,122,125,126,127,128,133,134,135,136,137,138,139,140,143,
146,147,198,199,200,201,202,204,206,207,208,223,230,243,244,249,250,268,269,
281,294,295,305,306,311,312,313,315,316,317,318,319,320,321,322,337,338,348,
349,351,353,377,384,385,392,393,394,395,399,400,401,402,410,411,412,522,527,
530,533,545,555,598,599,600,613,614,615,616,621,637,643,655,656,668,669,707,
724,751,776,813,814,831,978,979,995,1033,1051,1053,1125,1395],[1,2,3,4,5,9,10,
11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,33,34,35,36,37,50,
53,54,56,58,59,60,62,63,65,70,71,72,73,74,75,76,77,78,79,83,84,85,90,91,92,93,
94,95,96,97,98,99,105,106,109,110,111,113,114,115,117,118,119,120,121,126,136,
137,138,140,141,144,148,149,150,153,154,155,156,157,158,159,196,199,210,211,
212,213,214,215,217,218,219,220,226,227,231,235,237,240,241,246,252,263,274,
287,288,290,298,299,300,301,308,310,313,323,324,325,327,328,329,331,333,334,
340,344,347,349,350,354,357,358,359,360,363,364,369,370,372,373,381,392,396,
398,399,510,512,517,519,543,577,579,583,584,585,587,588,593,595,634,641,645,
662,663,665,667,674,720,721,761,774,818,819,825,973,976,1000,1026,1055,1057,
1123,1396],[1,2,3,4,5,9,11,12,13,14,15,16,18,19,20,21,23,24,25,26,27,28,29,30,
33,34,35,37,49,50,54,56,57,60,63,65,70,71,72,74,75,76,78,79,83,85,90,91,92,94,
95,96,97,99,105,106,109,110,112,114,115,116,118,121,127,136,137,140,142,144,
148,149,151,152,154,156,157,158,159,195,199,209,212,213,215,216,219,227,231,
236,238,241,245,252,263,275,289,291,292,296,297,302,303,308,309,313,324,325,
326,328,330,331,332,340,345,346,350,354,357,361,363,364,366,367,369,370,382,
393,397,399,511,514,519,542,576,580,581,584,585,586,591,597,635,640,646,661,
664,666,674,722,723,760,775,820,821,826,971,972,999,1027,1056,1058,1124,
1397],[1,2,3,4,5,9,11,12,13,14,15,16,18,19,20,21,23,24,25,26,27,28,29,30,31,
32,34,35,37,50,54,56,57,60,63,65,70,71,72,74,75,76,78,79,83,85,86,87,89,90,91,
92,94,95,96,97,99,105,106,108,109,110,112,114,115,118,121,128,129,130,131,132,
133,136,137,140,141,148,149,151,152,154,157,158,159,199,209,212,213,215,216,
219,222,227,232,236,238,241,246,252,270,274,283,284,286,296,297,300,301,311,
317,319,324,325,326,328,330,331,332,345,350,354,357,361,363,364,369,370,392,
393,394,397,399,401,405,406,415,416,417,418,419,421,514,519,532,539,542,565,
567,569,570,580,581,584,585,615,640,645,653,661,664,666,716,719,756,758,826,
827,828,967,972,993,1028,1058,1060,1127,1398],[1,2,3,4,5,9,10,11,12,13,14,15,
16,17,18,19,20,21,23,24,25,26,27,28,29,30,31,32,34,35,36,37,50,54,56,58,60,62,
63,65,70,71,72,73,74,75,76,77,78,79,83,84,85,86,87,89,90,91,92,93,94,95,96,97,
98,99,105,106,107,109,110,111,114,115,118,121,128,129,130,131,132,133,135,136,
137,138,140,142,148,149,150,153,154,155,157,158,159,199,210,211,212,213,214,
215,217,218,219,220,222,226,227,233,235,237,240,241,245,252,270,275,283,284,
285,286,298,299,302,303,312,318,320,322,323,324,325,327,328,329,331,333,334,
347,350,354,357,360,363,364,369,370,392,393,395,396,399,401,403,404,415,416,
417,418,419,421,510,519,531,539,543,565,566,568,571,577,579,584,585,616,641,
646,652,654,662,663,665,667,717,718,753,757,825,829,830,966,973,994,1029,1055,
1061,1126,1399],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,19,20,23,24,27,32,33,
34,35,36,47,60,61,62,63,66,67,68,69,70,80,81,82,83,84,85,88,100,101,102,105,
106,107,108,109,110,124,136,137,138,139,140,143,144,145,146,147,194,205,206,
207,208,221,223,228,229,230,249,250,269,276,277,278,279,280,281,282,288,289,
290,291,294,295,335,336,337,374,375,377,378,379,392,393,394,395,399,400,409,
523,524,533,540,547,548,556,557,560,561,573,617,632,638,639,642,643,670,711,
712,749,800,801,802,959,962,996,1031,1065,1066,1128,1400],[1,2,3,4,5,8,9,10,
11,12,13,14,15,16,17,19,20,22,23,24,27,32,33,34,35,36,47,59,60,61,62,63,64,66,
67,68,69,70,80,81,82,83,84,85,88,101,102,103,104,105,106,107,108,109,110,113,
124,125,126,127,135,136,137,138,139,140,143,144,145,146,147,204,205,206,207,
208,221,223,229,230,243,249,250,266,276,277,278,279,280,285,288,289,290,291,
293,294,295,305,306,335,336,374,377,378,379,384,385,386,389,390,392,393,394,
395,398,399,400,409,410,411,524,527,528,533,540,549,550,553,556,557,558,560,
561,622,637,638,639,642,643,670,704,709,769,796,797,832,960,962,996,1036,1038,
1064,1129,1401],[1,2,3,4,5,8,9,10,11,12,13,14,15,23,24,25,26,27,28,29,30,31,
32,33,34,35,37,61,63,69,80,81,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,
99,102,103,104,109,110,123,124,126,127,128,129,130,131,132,133,134,136,137,
141,142,143,144,147,156,157,158,159,160,206,222,223,224,225,226,227,231,244,
245,246,251,252,264,265,280,282,283,284,286,290,291,300,301,302,303,304,306,
307,308,337,338,339,340,376,377,379,380,386,392,393,401,402,407,408,411,412,
415,416,417,418,419,420,421,525,530,537,539,546,554,560,562,565,618,621,623,
624,625,636,644,645,646,671,673,674,708,710,771,772,803,834,836,963,987,998,
1034,1067,1069,1130,1402],[1,2,3,4,8,9,10,11,12,16,17,18,19,20,21,22,23,24,32,
34,35,36,47,57,58,59,60,61,62,63,64,65,66,67,68,69,70,80,81,82,100,101,103,
104,114,115,116,117,118,119,120,121,122,133,134,135,136,137,138,139,140,147,
165,194,203,204,205,206,207,208,221,228,243,244,249,250,258,276,277,278,279,
280,281,282,317,318,319,320,321,322,344,345,346,347,348,349,350,351,352,353,
374,375,386,387,388,389,390,391,428,429,521,522,523,528,529,540,547,548,601,
602,603,604,605,606,607,608,609,632,638,639,668,669,679,680,737,800,801,804,
805,806,807,959,980,981,1002,1049,1050,1066,1089,1090,1091,1092,1403],[1,2,3,
4,5,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,27,28,29,30,32,33,35,36,47,53,
57,58,59,60,62,64,65,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,88,97,98,99,
100,101,103,104,111,113,114,117,119,120,124,126,127,128,133,134,135,136,138,
143,147,153,155,160,165,196,203,204,205,216,217,218,219,220,221,223,225,233,
234,235,240,243,244,251,254,276,279,282,283,285,304,306,309,314,318,322,336,
337,341,342,343,344,349,358,359,372,373,374,375,386,387,388,389,390,391,396,
398,409,411,412,413,414,422,423,428,429,507,508,512,517,528,529,538,541,547,
550,552,553,554,562,603,607,610,612,617,619,633,644,647,649,652,654,680,686,
687,740,741,796,798,801,804,805,816,964,969,970,1005,1042,1044,1046,1084,1085,
1092,1103,1404],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,27,28,
29,30,32,33,34,36,47,49,53,57,58,59,60,62,65,71,72,73,74,75,76,77,78,79,80,81,
82,83,84,85,88,97,98,99,100,101,103,104,112,113,115,116,119,120,124,126,127,
128,133,134,135,137,138,143,147,152,155,160,165,195,196,203,205,216,217,218,
219,220,221,223,225,232,233,238,240,244,251,253,277,279,282,284,285,304,306,
310,314,317,322,336,337,341,343,346,349,366,367,372,373,375,386,387,388,389,
391,397,398,409,411,412,413,414,423,428,506,507,511,517,529,538,541,547,550,
551,553,554,562,602,607,611,612,617,619,633,644,648,649,653,654,679,687,739,
797,799,800,806,807,815,964,968,970,1004,1043,1045,1047,1083,1086,1089,1102,
1405],[1,2,3,4,8,9,10,11,12,16,17,18,19,20,21,22,23,24,32,33,34,35,36,47,53,
57,58,59,60,61,62,63,64,65,66,67,68,69,70,80,81,82,100,101,103,104,114,115,
116,117,118,119,120,121,122,125,126,127,133,134,135,136,137,138,139,140,143,
146,147,165,196,203,204,205,206,207,208,221,230,233,234,243,244,249,250,254,
276,277,278,279,280,305,306,317,318,319,320,321,322,335,336,341,342,343,344,
345,346,347,348,349,350,351,352,353,374,375,384,385,386,387,388,389,390,391,
410,411,422,423,428,429,507,508,521,522,527,528,529,540,549,550,601,602,603,
604,605,606,607,608,609,622,637,638,639,668,669,670,680,686,687,740,741,796,
797,798,799,815,816,960,980,981,1005,1048,1063,1064,1085,1086,1087,1088,
1406],[1,2,3,4,8,9,10,11,12,16,17,18,19,20,21,22,23,24,33,34,35,36,50,51,52,
54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,80,81,82,114,115,116,117,
118,119,120,121,122,125,126,127,136,137,138,139,140,143,144,145,146,161,198,
199,200,201,202,203,204,206,207,208,229,230,249,250,259,288,289,290,291,294,
295,311,312,313,315,316,344,345,346,347,348,349,350,351,352,353,381,382,383,
384,385,410,411,430,431,521,522,526,527,545,589,590,592,594,595,597,598,599,
600,642,643,655,656,677,678,738,809,810,813,814,977,978,1001,1052,1053,1078,
1080,1081,1082,1407],[1,2,3,4,5,9,12,13,14,15,16,18,19,20,21,23,25,26,27,28,
29,30,31,34,35,37,48,49,50,52,57,60,65,66,71,72,74,75,76,78,79,83,85,86,87,89,
90,91,92,94,95,96,97,99,106,107,108,109,110,112,115,116,117,118,121,129,130,
131,132,137,140,141,148,149,150,152,154,157,158,159,163,195,197,209,212,213,
215,216,219,222,227,237,238,241,246,252,256,296,297,300,301,323,325,326,328,
330,331,332,346,352,354,355,356,363,364,365,366,367,368,371,394,397,400,405,
406,415,416,417,418,419,421,426,427,511,513,518,532,539,542,567,569,570,575,
576,577,578,581,582,585,586,640,645,661,664,665,682,685,743,817,820,821,823,
827,828,967,971,975,1007,1056,1059,1060,1093,1095,1096,1100,1408],[1,2,3,4,5,
9,10,12,13,14,15,16,17,18,19,20,21,22,23,25,26,27,28,29,30,31,34,35,36,37,48,
50,52,53,58,59,60,62,65,66,71,72,73,74,75,76,77,78,79,83,84,85,86,87,89,90,91,
92,93,94,95,96,97,98,99,105,107,108,109,110,111,113,114,116,117,118,119,120,
121,129,130,131,132,136,138,140,142,148,149,151,153,154,155,157,158,159,164,
196,197,210,211,212,213,214,215,217,218,219,220,222,226,227,235,236,240,241,
245,252,255,298,299,302,303,323,324,326,327,328,329,331,333,334,344,349,352,
355,356,357,358,359,362,363,364,368,371,372,373,395,396,398,400,403,404,415,
416,417,418,419,421,424,425,509,512,517,518,531,539,543,566,568,571,574,578,
579,580,582,583,584,587,588,641,646,662,663,666,667,683,684,742,818,819,822,
824,829,830,966,974,976,1006,1054,1057,1061,1094,1097,1098,1099,1409],[1,2,3,
4,5,8,9,10,11,12,13,14,15,25,26,27,28,29,30,31,32,33,37,47,80,81,82,83,84,85,
86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,123,124,126,127,128,129,
130,131,132,143,144,145,147,156,157,158,159,160,162,221,222,223,224,225,226,
227,229,231,251,252,257,304,306,307,308,336,337,338,339,340,375,376,377,378,
379,380,409,411,412,413,414,415,416,417,418,419,420,421,432,433,524,525,538,
539,546,572,617,618,619,620,621,623,624,625,671,672,673,674,681,688,736,833,
834,835,836,986,987,1003,1068,1069,1104,1105,1106,1107,1410],[1,2,3,4,8,9,10,
11,12,18,21,23,24,32,33,35,36,49,57,58,61,63,65,69,80,81,100,103,121,126,127,
133,136,138,139,143,144,145,153,166,195,203,206,229,232,235,250,264,276,292,
309,315,316,320,341,345,381,382,383,388,411,434,435,436,506,526,591,601,647,
656,703,713,746,747,762,809,810,837,1024,1052,1148,1176,1195,1411],[1,2,3,4,8,
9,10,11,12,18,21,22,23,24,32,33,34,36,53,57,58,59,61,63,65,69,80,81,101,103,
104,118,126,127,133,135,137,138,139,143,144,145,152,166,196,203,206,229,233,
238,250,265,277,287,310,315,316,319,341,343,347,381,382,383,387,389,411,434,
435,436,507,526,593,604,648,656,702,714,746,747,763,809,810,837,1023,1052,
1148,1177,1197,1412],[1,2,3,4,5,8,9,10,11,12,13,14,15,27,32,33,37,47,80,81,82,
83,84,85,88,100,101,102,124,143,144,145,146,147,157,158,159,166,194,221,223,
228,229,230,252,269,307,335,336,337,339,374,375,377,378,379,409,434,435,436,
523,524,573,617,670,673,711,712,745,748,749,833,835,837,1031,1068,1149,1174,
1205,1413],[1,2,3,4,5,8,9,10,11,12,13,14,15,22,27,32,33,37,47,59,64,80,81,82,
83,84,85,88,101,102,103,104,124,128,135,143,144,145,147,157,158,159,166,204,
221,223,228,229,243,252,268,281,282,304,305,307,339,374,377,378,379,386,389,
390,409,412,434,435,436,524,528,554,555,632,673,705,706,745,748,750,833,835,
837,1032,1068,1149,1175,1203,1414],[1,2,3,4,5,8,9,10,11,12,13,14,15,27,32,33,
36,37,47,80,81,82,83,84,85,88,101,102,124,125,126,127,128,138,139,143,144,145,
146,147,157,158,159,161,221,223,229,230,250,252,259,260,267,269,278,279,305,
306,307,335,337,338,339,374,377,378,379,409,410,411,412,430,431,524,621,622,
626,627,639,673,697,725,726,738,749,751,795,833,835,1062,1068,1152,1215,1223,
1415],[1,2,3,4,5,8,9,10,11,12,13,14,18,21,23,24,27,33,34,35,36,57,58,61,63,65,
69,80,81,83,102,109,110,111,112,123,124,126,127,136,137,138,139,143,144,145,
155,156,162,203,206,229,231,240,250,257,261,262,263,279,280,287,290,291,292,
314,315,316,376,379,381,382,383,392,393,396,397,411,432,433,526,559,560,628,
629,649,656,696,727,728,736,774,775,808,809,810,1040,1052,1151,1216,1225,
1416],[1,2,3,4,5,8,9,10,11,12,13,14,18,21,23,24,27,33,34,35,36,57,58,61,63,65,
69,80,81,83,102,109,110,111,112,123,124,126,127,136,137,138,139,143,144,145,
153,156,162,203,206,229,231,235,250,257,261,262,263,276,280,287,290,291,292,
309,315,316,376,379,381,382,383,392,393,396,397,411,432,433,526,559,560,628,
629,647,656,696,727,728,736,774,775,809,810,811,1039,1052,1151,1217,1226,
1417],[1,2,3,4,5,8,9,10,11,12,13,14,15,22,23,24,27,32,36,37,59,61,63,69,80,81,
83,84,85,88,101,103,104,113,122,128,133,134,135,138,139,147,157,158,159,165,
206,223,234,244,250,252,254,272,273,279,285,307,315,316,321,339,342,348,389,
398,401,402,412,423,429,530,553,608,631,656,673,698,731,740,759,803,831,1051,
1067,1154,1218,1227,1418],[1,2,3,4,5,8,9,10,11,12,13,14,15,27,32,33,37,47,80,
81,82,83,84,85,88,101,102,124,125,126,127,128,143,144,145,146,147,157,158,159,
161,221,223,229,230,252,259,260,267,269,305,306,307,335,336,337,338,339,374,
377,378,379,409,410,411,412,430,431,524,621,622,626,627,670,673,697,725,726,
738,749,751,832,833,835,1038,1068,1152,1219,1224,1419],[1,2,3,4,5,8,9,10,11,
12,13,14,18,21,22,23,24,27,33,34,35,57,58,59,61,63,64,65,69,80,81,83,102,109,
110,111,112,123,124,125,126,127,136,137,143,144,145,146,156,161,162,166,203,
204,206,229,230,231,257,259,261,262,263,280,287,290,291,292,376,379,381,382,
383,384,385,392,393,396,397,410,411,430,431,432,433,434,435,436,437,438,439,
440,526,527,559,560,628,629,677,678,696,727,728,736,738,746,747,774,775,837,
847,848,851,852,854,855,857,1001,1148,1151,1171,1172,1231,1232,1233,1235,
1420],[1,2,3,4,5,8,9,10,11,12,13,14,15,27,31,32,33,47,80,81,82,83,84,85,86,87,
88,89,101,102,123,124,125,126,127,128,143,144,145,146,147,156,161,162,166,221,
222,223,229,230,231,257,259,260,267,269,305,306,335,337,338,374,376,377,378,
379,380,409,410,411,412,420,430,431,432,433,434,435,436,437,438,439,440,524,
525,621,622,626,627,681,688,697,725,726,736,738,745,748,749,751,837,849,850,
851,852,854,855,857,1003,1149,1152,1170,1173,1229,1230,1233,1234,1421],[1,2,3,
4,5,8,9,10,11,12,13,14,18,21,23,24,27,32,33,34,35,57,58,61,63,65,69,80,81,83,
102,109,110,111,112,123,124,126,127,135,136,137,143,144,145,146,147,156,160,
162,166,203,206,229,230,231,243,251,257,260,261,262,263,267,269,280,282,287,
290,291,292,305,306,336,376,379,381,382,383,392,393,396,397,411,432,433,434,
435,436,526,559,560,628,629,633,637,696,697,727,728,736,746,747,774,775,777,
791,837,849,850,1017,1148,1151,1228,1234,1422],[1,2,3,4,5,8,9,10,11,12,13,14,
15,27,32,33,34,35,47,80,81,82,83,84,85,88,101,102,124,125,126,127,128,136,137,
140,141,142,143,144,145,146,147,161,166,221,223,229,230,245,246,249,259,260,
261,262,263,267,269,276,277,280,286,305,306,335,337,338,374,377,378,379,409,
410,411,412,430,431,434,435,436,524,621,622,626,627,636,638,696,697,725,726,
738,745,748,749,751,792,793,837,847,848,1018,1149,1152,1228,1235,1423],[1,2,3,
4,5,8,9,10,11,12,13,14,15,25,26,27,28,29,30,32,33,47,80,81,82,83,84,85,88,90,
91,92,93,94,95,96,97,98,99,100,101,102,124,126,127,128,143,144,145,146,147,
160,166,221,223,224,225,226,227,229,230,251,304,306,335,336,337,338,375,377,
378,379,409,411,412,413,414,434,435,436,524,538,546,572,617,618,619,620,621,
670,671,672,745,748,832,837,986,1038,1149,1204,1206,1424],[1,2,3,4,5,8,9,10,
11,12,13,14,15,25,26,27,28,29,30,32,33,36,47,80,81,82,83,84,85,88,90,91,92,93,
94,95,96,97,98,99,100,101,102,124,126,127,128,138,139,143,144,145,147,160,166,
221,223,224,225,226,227,229,250,251,278,279,304,306,336,337,338,375,377,378,
379,409,411,412,413,414,434,435,436,524,538,546,572,617,618,619,620,621,639,
671,672,745,748,795,837,986,1062,1149,1201,1202,1425],[1,2,3,4,8,9,10,11,12,
16,17,18,19,20,21,23,24,33,34,35,36,50,51,52,54,55,56,57,58,60,61,62,63,65,66,
67,68,69,70,80,81,82,114,115,116,117,118,121,126,127,136,137,138,140,143,144,
145,155,166,198,199,200,201,202,203,206,207,208,229,240,249,279,288,289,290,
291,311,312,313,314,344,345,346,347,350,352,381,382,383,411,434,435,436,521,
526,545,589,590,592,594,595,597,642,649,655,746,747,808,837,977,1040,1148,
1198,1199,1426],[1,2,3,4,8,9,10,11,12,16,17,18,19,20,21,23,24,33,34,35,50,51,
52,54,55,56,57,58,60,61,62,63,65,66,67,68,69,70,80,81,82,114,115,116,117,118,
121,126,127,136,137,140,143,144,145,153,166,198,199,200,201,202,203,206,207,
208,229,235,249,276,288,289,290,291,309,311,312,313,344,345,346,347,350,352,
381,382,383,411,434,435,436,521,526,545,589,590,592,594,595,597,642,647,655,
746,747,811,837,977,1039,1148,1196,1200,1427],[1,2,3,4,8,9,10,11,12,18,21,32,
33,34,35,36,47,57,58,65,80,81,82,100,101,103,104,133,134,136,137,138,143,146,
147,152,153,155,160,203,221,228,230,235,238,240,244,251,267,268,276,277,279,
281,282,306,309,310,314,335,336,375,386,387,388,391,529,632,633,647,648,649,
670,695,778,794,800,801,815,816,1016,1046,1047,1117,1118,1119,1120,1428],[1,2,
3,4,8,9,10,11,12,18,21,32,33,34,35,36,47,57,58,65,80,81,82,100,101,103,104,
133,134,136,137,138,139,140,143,146,147,152,153,203,221,228,230,235,238,244,
249,250,270,271,276,277,278,279,280,281,282,309,310,335,336,375,386,387,388,
391,529,632,638,639,647,648,670,699,786,787,798,799,804,807,1019,1049,1063,
1121,1122,1128,1129,1429],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,18,19,20,21,
23,24,27,32,33,34,35,47,57,58,60,61,62,63,65,66,67,68,69,70,80,81,82,83,84,85,
88,100,101,102,103,104,105,106,107,108,109,110,111,112,114,115,116,117,118,
121,124,133,134,136,137,140,141,142,143,144,145,147,148,149,150,151,152,153,
154,163,164,203,205,206,207,208,221,223,229,235,236,237,238,239,241,242,244,
245,246,249,255,256,261,262,263,264,265,270,271,274,275,276,277,280,283,284,
286,287,288,289,290,291,292,309,310,311,312,313,317,318,319,320,344,345,346,
347,350,352,375,377,378,379,386,387,388,391,392,393,394,395,396,397,399,400,
409,424,425,426,427,521,524,529,533,540,551,552,556,557,559,560,561,601,602,
603,604,605,606,636,638,642,647,648,650,651,655,669,676,691,692,693,694,696,
699,700,701,702,703,708,716,717,718,719,720,721,722,723,732,733,734,735,742,
743,753,754,755,756,760,761,767,768,782,783,784,785,786,787,792,793,841,842,
843,844,962,981,1008,1018,1019,1035,1070,1136,1137,1142,1143,1145,1146,1178,
1179,1185,1186,1208,1209,1430],[1,2,3,4,5,8,9,10,11,12,13,14,16,17,18,19,20,
21,23,24,27,28,29,30,32,33,34,35,48,50,52,54,55,56,57,58,60,62,63,66,68,69,70,
71,72,73,74,76,78,80,82,83,97,98,100,101,102,103,104,105,106,107,108,109,110,
111,112,114,115,116,117,118,121,123,124,126,127,128,133,134,135,136,137,140,
141,142,143,144,145,147,148,149,150,151,152,153,154,156,160,162,163,164,165,
197,199,200,201,205,208,216,217,229,231,232,233,235,236,237,238,239,241,242,
244,245,246,247,248,249,251,253,255,256,257,261,262,263,264,265,270,271,274,
275,276,277,280,283,284,286,287,288,289,290,291,292,309,310,311,312,313,317,
318,319,320,341,344,345,346,347,354,355,356,357,362,365,368,369,370,371,376,
379,381,382,387,388,392,393,394,395,396,397,401,407,408,413,414,423,424,425,
426,427,428,432,433,509,513,515,516,534,535,544,556,557,561,563,564,589,594,
595,597,602,603,605,606,610,611,613,615,616,634,635,642,650,651,652,653,657,
658,659,660,669,675,676,691,692,693,694,696,699,700,701,702,703,708,710,713,
714,716,717,718,719,720,721,722,723,727,728,730,732,733,734,735,736,739,742,
743,754,755,757,758,762,763,766,767,768,770,771,772,774,775,779,780,782,783,
784,785,786,787,789,790,792,793,839,841,842,843,844,845,982,984,1009,1021,
1022,1030,1072,1133,1134,1136,1137,1140,1141,1142,1143,1144,1145,1146,1180,
1181,1182,1183,1187,1188,1191,1192,1210,1211,1212,1213,1431],[1,2,3,4,5,8,9,
10,11,12,13,14,15,16,17,18,19,20,21,23,24,27,28,29,30,32,33,47,57,58,60,61,62,
63,65,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,88,97,98,99,100,101,102,
103,104,124,125,126,127,128,133,134,135,143,144,145,146,147,160,161,165,203,
205,206,216,217,218,219,220,221,223,225,228,229,230,243,244,247,248,251,258,
259,260,267,268,269,281,282,304,305,306,335,336,337,338,374,375,377,381,382,
383,386,387,388,391,407,408,409,410,411,412,413,414,428,429,430,431,526,529,
537,538,541,547,548,549,550,554,562,617,619,620,621,622,632,633,637,644,670,
671,672,675,689,690,695,697,705,706,707,711,712,724,725,726,729,737,738,749,
750,751,752,773,776,777,778,791,794,838,840,961,964,1010,1016,1017,1037,1073,
1131,1132,1138,1139,1147,1189,1190,1193,1194,1207,1214,1432],[1,2,3,4,5,8,9,
10,11,12,27,28,29,30,31,32,33,37,47,80,81,82,88,89,97,98,99,100,101,123,124,
125,126,127,128,129,130,143,147,156,157,160,162,166,194,221,225,228,251,267,
268,304,305,306,308,335,339,374,375,409,410,411,412,413,414,419,420,433,434,
437,438,523,538,573,619,622,623,627,681,745,750,752,778,832,834,835,850,854,
1076,1104,1157,1204,1205,1224,1229,1433],[1,2,3,4,5,8,9,10,11,12,15,22,23,24,
27,28,29,30,31,32,33,36,37,59,61,63,64,69,80,81,84,88,89,97,98,99,102,103,104,
113,123,124,125,126,127,128,129,130,138,143,145,146,147,156,157,160,162,166,
204,206,225,230,251,260,269,278,281,293,305,308,336,338,339,377,378,380,384,
385,386,398,407,408,410,411,412,419,420,432,433,434,437,438,527,537,549,555,
558,620,623,626,688,748,751,773,777,795,802,833,836,849,854,1101,1105,1164,
1202,1203,1223,1230,1434],[1,2,3,4,5,9,11,12,13,14,16,18,19,20,22,23,24,27,29,
30,33,34,35,36,49,52,56,57,60,63,64,68,72,74,76,83,97,105,107,110,112,115,116,
119,121,122,123,125,127,136,137,139,144,146,152,154,161,166,195,200,216,238,
239,262,274,286,288,292,294,309,311,315,345,346,351,366,367,368,370,376,382,
385,392,395,397,431,435,437,439,511,516,563,589,591,598,629,677,747,755,756,
784,809,811,814,848,855,1077,1078,1159,1195,1196,1226,1232,1435],[1,2,3,4,5,9,
10,11,12,13,14,16,19,20,21,22,23,24,27,28,30,33,34,35,36,52,53,56,58,59,60,61,
63,64,68,71,73,78,83,98,106,108,109,111,114,117,118,119,122,123,125,126,127,
136,137,138,139,144,145,146,153,154,161,166,196,200,217,235,239,261,275,286,
287,289,293,294,310,312,314,315,344,347,348,351,358,359,369,371,376,381,383,
384,385,393,394,396,430,431,435,437,439,512,515,564,593,594,596,598,628,678,
746,753,754,785,808,810,812,813,847,855,1079,1081,1158,1197,1198,1225,1231,
1436],[1,2,3,4,5,8,9,10,11,12,13,14,15,18,21,22,23,24,27,32,33,34,35,36,47,57,
58,59,61,63,69,80,81,83,84,85,88,100,101,103,104,111,112,113,118,121,122,124,
125,128,133,134,135,136,137,138,143,147,165,206,223,228,232,233,234,243,244,
253,254,258,267,268,270,271,272,273,276,277,279,281,282,283,284,285,304,305,
319,320,321,336,337,341,342,343,345,347,348,374,375,386,387,388,389,390,391,
396,397,398,401,402,409,410,412,422,423,428,429,530,548,549,551,552,553,554,
601,604,608,617,627,630,631,679,680,686,687,695,698,699,729,730,731,737,739,
740,741,744,750,757,758,759,776,796,797,798,799,800,801,804,805,806,807,815,
816,1083,1084,1087,1088,1090,1091,1102,1103,1116,1150,1153,1154,1220,1221,
1222,1437],[1,2,3,4,8,9,10,11,12,16,17,18,19,20,21,22,32,33,34,35,36,47,57,58,
59,60,62,80,81,100,101,103,104,114,115,116,117,119,120,126,127,133,134,135,
136,137,138,143,144,145,147,160,165,205,228,229,232,233,234,243,244,247,248,
251,253,254,258,264,265,266,267,268,269,270,271,272,273,276,277,279,282,287,
292,293,305,306,317,318,322,335,336,341,342,343,344,346,349,374,375,386,387,
388,389,390,391,411,422,423,428,429,547,550,602,603,607,675,679,680,686,687,
695,698,699,702,703,704,705,712,737,739,740,741,744,752,765,766,778,779,780,
781,791,796,797,798,799,800,801,804,805,806,807,815,816,838,845,846,1085,1086,
1089,1092,1110,1111,1114,1115,1116,1131,1134,1135,1220,1221,1222,1438],[1,2,3,
4,5,8,9,10,11,12,15,27,28,29,30,31,32,33,36,37,80,81,84,88,89,97,98,99,102,
123,124,126,127,129,130,133,134,135,138,143,145,147,156,157,160,161,162,166,
225,243,244,251,259,266,267,268,269,278,281,282,285,304,305,306,308,336,337,
338,339,377,378,380,411,419,420,432,433,434,439,440,620,623,644,688,690,695,
706,707,709,726,748,791,795,802,833,836,840,850,852,1105,1113,1138,1170,1175,
1202,1215,1439],[1,2,3,4,9,11,12,16,18,19,20,22,23,24,32,33,34,35,36,52,56,57,
60,63,64,68,115,116,119,122,125,127,133,136,137,139,144,146,149,151,160,161,
162,166,200,232,236,247,257,261,263,264,265,271,275,288,289,290,292,294,309,
311,315,318,320,346,351,382,385,431,435,438,440,589,598,658,677,691,701,713,
722,727,747,779,809,811,814,839,847,851,1078,1108,1141,1172,1176,1196,1217,
1440],[1,2,3,4,9,10,11,12,16,19,20,21,22,23,24,32,33,34,35,36,52,56,58,60,61,
63,64,68,114,117,119,122,125,126,127,133,135,136,137,138,139,144,145,146,148,
150,160,161,162,166,200,233,237,247,257,262,263,264,265,266,271,274,287,288,
289,291,294,310,312,314,315,317,319,321,344,351,381,383,384,385,430,431,435,
438,440,594,598,659,678,692,700,714,715,720,728,746,780,808,810,812,813,839,
848,851,1081,1109,1140,1171,1177,1198,1216,1441],[1,2,3,4,5,8,9,10,12,27,28,
29,30,31,32,33,37,47,80,88,89,97,98,99,100,101,123,124,129,130,143,144,145,
147,156,157,160,161,162,166,225,228,229,251,259,260,267,268,269,304,306,308,
335,336,337,338,339,375,409,419,420,433,434,439,440,619,623,672,681,690,697,
711,712,725,745,778,832,834,835,840,849,852,1104,1112,1147,1173,1174,1204,
1219,1442],[1,2,3,4,9,11,17,18,22,23,24,33,35,36,49,55,57,63,64,67,120,121,
122,125,127,136,139,144,146,161,162,164,166,195,198,255,257,261,290,292,295,
309,312,315,345,353,382,385,431,435,438,440,591,592,599,677,727,735,747,809,
811,813,847,851,955,1077,1082,1172,1195,1200,1217,1443],[1,2,3,4,9,10,11,17,
21,22,23,24,33,34,36,53,55,58,59,61,63,64,67,118,120,122,125,126,127,137,138,
139,144,145,146,161,162,163,166,196,198,256,257,262,287,291,293,295,310,311,
314,315,347,348,353,381,383,384,385,430,431,435,438,440,590,593,596,599,678,
728,734,746,808,810,812,814,848,851,956,1079,1080,1171,1197,1199,1216,1444],[
1,2,4,5,8,10,11,15,22,25,26,27,31,32,33,36,37,59,64,81,84,88,89,90,102,113,
123,124,128,131,132,138,143,145,147,156,157,161,162,165,166,204,224,258,259,
267,278,281,293,304,305,337,339,340,377,378,380,398,412,420,421,432,433,434,
439,440,555,558,618,625,688,726,729,748,795,802,833,834,850,852,958,1101,1106,
1170,1201,1203,1215,1445],[1,2,5,8,25,26,27,31,33,37,47,88,89,90,123,124,131,
132,143,156,157,161,162,166,194,224,259,260,335,338,339,340,409,420,421,433,
434,439,440,572,573,625,681,725,745,832,835,836,849,852,954,1076,1107,1173,
1205,1206,1219,1446],[1,2,4,5,8,10,11,25,26,27,31,32,33,37,47,81,88,89,90,101,
102,123,124,125,128,131,132,143,146,147,156,157,162,166,224,228,230,267,268,
269,304,305,335,337,338,339,340,374,377,409,410,412,420,421,433,434,437,438,
572,618,625,627,681,690,711,724,745,749,750,751,832,835,836,850,854,1012,1107,
1112,1174,1206,1224,1229,1447],[1,2,3,4,5,9,10,11,13,14,17,21,22,23,24,27,32,
33,34,35,36,55,58,61,63,64,67,83,109,110,111,118,120,122,123,125,126,127,128,
133,135,136,137,138,139,141,144,145,146,161,166,198,233,246,261,265,266,270,
274,284,291,295,310,311,313,314,315,319,320,321,347,353,376,381,383,384,385,
392,393,396,401,430,431,435,437,439,590,599,614,628,678,693,714,715,719,746,
757,761,771,808,810,812,814,847,855,1014,1080,1109,1177,1199,1225,1231,1448],[
1,2,3,4,5,9,11,13,14,17,18,22,23,24,27,32,33,34,35,36,55,57,63,64,67,83,109,
110,112,120,121,122,123,125,127,128,133,136,137,139,142,144,146,161,166,198,
232,245,262,264,270,275,283,290,295,309,312,313,315,319,320,345,353,376,382,
385,392,393,397,401,431,435,437,439,592,599,614,629,677,694,713,718,747,758,
760,772,809,811,813,848,855,1013,1082,1108,1176,1200,1226,1232,1449],[1,2,4,5,
8,10,11,15,25,26,27,31,32,33,36,37,81,84,88,89,90,102,123,124,125,128,131,132,
135,138,143,145,147,156,157,162,166,224,243,260,266,268,278,281,285,304,337,
339,340,377,378,380,410,412,420,421,432,433,434,437,438,618,625,626,688,689,
706,709,748,776,795,802,833,834,849,854,1011,1106,1113,1175,1201,1223,1230,
1450],[1,2,3,4,5,8,9,10,11,12,13,14,16,17,19,20,27,32,33,34,35,60,62,80,81,83,
102,103,104,105,106,107,108,123,124,125,126,127,133,134,136,137,143,144,145,
146,147,156,160,161,162,166,205,229,230,231,244,247,248,251,257,259,260,261,
262,263,264,265,267,268,269,280,281,283,284,288,289,305,306,336,376,379,386,
394,395,410,411,430,431,432,433,434,435,436,437,438,439,440,550,561,675,696,
697,707,708,736,738,770,773,777,789,790,794,837,839,840,847,848,849,850,851,
852,854,855,856,857,1132,1133,1168,1228,1233,1234,1235,1451],[1,2,3,4,8,9,10,
12,16,17,19,20,22,32,33,34,35,36,59,60,62,80,101,103,104,119,120,133,134,135,
136,137,138,140,143,144,145,147,148,149,150,151,154,160,165,166,205,229,234,
236,237,239,241,242,244,247,248,249,251,254,266,272,273,279,293,322,342,349,
389,423,429,434,435,436,607,675,676,698,704,740,765,781,837,846,853,856,1135,
1168,1169,1236,1237,1452],[1,2,6,7,8,43,47,167,169,172,180,194,471,858,864,
871,1453],[1,3,5,6,7,14,16,18,25,29,44,74,92,167,170,171,173,176,178,181,209,
478,859,865,866,874,1454],[1,2,5,6,7,8,25,26,27,43,44,88,90,167,169,170,171,
172,173,174,180,181,224,490,491,858,859,869,870,872,873,1455],[1,2,3,4,5,6,7,
8,9,11,12,27,29,30,32,33,39,40,41,42,43,45,82,97,100,124,127,128,160,167,169,
172,180,182,183,184,185,186,187,189,191,413,441,443,446,465,466,481,492,493,
499,500,501,503,504,858,861,887,943,1238,1240,1241,1456],[1,2,5,8,27,33,38,47,
88,124,143,168,194,335,409,573,1243,1457],[1,4,7,17,22,36,40,46,120,175,177,
445,451,458,1458],[1,3,7,16,18,34,39,46,116,176,178,445,452,455,1459],[1,5,7,
25,31,37,42,46,131,170,179,445,464,467,1460],[1,5,7,25,31,37,42,46,131,171,
179,445,464,468,1461],[1,2,7,8,43,46,47,169,445,471,944,1462],[1,3,7,18,45,46,
49,176,445,485,945,1463],[1,3,7,16,45,46,48,178,445,486,946,1464],[1,5,6,7,25,
38,41,44,167,168,170,171,173,181,193,442,505,859,948,1465],[1,2,3,4,5,7,8,9,
10,12,13,14,15,16,17,18,19,20,21,25,26,27,28,29,30,57,58,60,62,65,71,72,73,74,
75,76,77,78,79,80,83,84,85,88,90,91,92,93,94,95,96,97,98,99,169,171,177,178,
203,205,209,210,211,212,213,214,215,216,217,218,219,220,223,224,225,226,227,
541,542,543,546,866,867,868,870,953,1466],[1,2,5,6,8,25,26,27,33,47,88,90,124,
143,161,172,173,174,194,224,259,260,335,338,409,572,573,725,864,869,884,954,
1467],[1,2,3,4,5,7,8,9,10,12,13,14,15,16,17,18,19,20,21,25,26,27,28,29,30,43,
57,58,60,62,65,71,72,73,74,75,76,77,78,79,80,83,84,85,88,90,91,92,93,94,95,96,
97,98,99,170,176,180,203,205,209,210,211,212,213,214,215,216,217,218,219,220,
223,224,225,226,227,472,474,490,541,542,543,546,865,872,876,953,1263,1468],[1,
2,3,4,5,6,8,9,10,12,13,14,15,16,17,18,19,20,21,25,26,27,28,29,30,44,57,58,60,
62,65,71,72,73,74,75,76,77,78,79,80,83,84,85,88,90,91,92,93,94,95,96,97,98,99,
172,173,174,181,203,205,209,210,211,212,213,214,215,216,217,218,219,220,223,
224,225,226,227,478,479,480,491,541,542,543,546,869,873,874,875,953,1265,
1469],[1,2,3,4,7,8,9,10,11,12,16,17,19,20,23,24,43,45,47,48,50,51,52,54,55,56,
60,61,62,63,66,67,68,69,70,80,81,82,169,177,178,182,197,198,199,200,201,202,
205,206,207,208,221,471,475,477,481,486,487,488,540,544,545,868,878,882,883,
952,1264,1266,1470],[1,2,5,6,8,25,26,27,33,44,47,88,90,124,143,161,172,181,
194,224,259,260,335,338,409,491,572,573,725,864,873,954,1275,1471],[1,2,5,7,8,
25,26,27,33,43,47,88,90,124,143,161,169,171,180,194,224,259,260,335,338,409,
471,572,573,725,870,871,954,1279,1472],[1,2,5,7,8,25,26,27,33,43,47,88,90,124,
143,161,169,170,180,194,224,259,260,335,338,409,471,490,496,572,573,725,871,
872,941,954,1473],[1,2,4,5,7,8,10,11,22,25,26,27,32,33,43,59,64,81,88,90,102,
128,143,147,161,165,170,175,180,204,224,258,259,267,281,304,305,337,377,412,
473,476,490,495,496,555,618,726,729,872,877,937,941,958,1474],[1,2,3,4,7,9,11,
17,18,23,24,33,35,43,45,49,55,57,63,67,121,127,136,144,162,164,176,177,182,
195,198,255,257,261,290,292,309,312,345,382,472,475,485,488,494,498,591,592,
727,735,881,882,936,940,955,1475],[1,2,3,4,7,9,10,11,17,21,22,23,24,33,34,43,
45,53,55,58,59,63,67,118,126,137,144,162,163,175,177,182,196,198,256,257,262,
287,291,310,311,347,381,473,475,484,488,494,497,590,593,728,734,880,882,936,
939,956,1476],[1,2,3,4,5,7,9,11,13,14,17,23,24,27,31,32,34,35,43,45,55,63,67,
83,86,87,89,109,110,128,133,136,137,163,164,165,177,179,182,198,222,253,255,
256,271,283,284,286,313,319,320,392,393,401,475,482,483,488,489,495,497,498,
565,614,730,732,733,879,882,938,939,940,957,1477],[1,2,3,4,7,9,11,18,22,23,33,
35,43,45,49,57,63,64,121,125,127,136,144,146,161,175,176,182,195,292,309,345,
382,385,431,472,476,485,496,591,677,811,881,1077,1259,1478],[1,2,5,7,8,27,31,
33,43,47,88,89,123,124,143,156,162,169,179,180,194,335,409,420,433,471,489,
494,573,681,832,871,1076,1258,1479],[1,2,3,4,5,7,9,11,13,14,18,22,23,27,33,34,
42,43,57,63,64,83,110,112,123,125,127,137,144,146,161,166,175,176,187,262,376,
382,385,392,397,431,435,437,439,462,472,476,496,629,677,747,848,855,895,935,
1232,1259,1480],[1,2,4,5,7,8,10,11,27,31,32,33,40,43,47,81,88,89,101,123,124,
125,128,143,147,156,162,166,169,179,183,267,374,409,410,412,420,433,434,437,
438,447,471,489,494,627,681,745,850,854,885,934,1229,1258,1481],[1,2,3,4,5,7,
8,9,10,11,12,13,14,15,16,17,19,20,23,24,27,33,34,35,42,43,47,60,61,62,63,66,
67,68,69,70,80,81,82,83,84,85,88,102,105,106,107,108,109,110,124,136,137,140,
143,144,145,169,177,178,187,205,206,207,208,221,223,229,249,276,277,280,288,
289,290,291,377,378,379,392,393,394,395,399,400,409,459,460,465,471,475,477,
524,533,540,556,557,560,561,638,642,868,896,915,962,1255,1264,1482],[1,2,3,4,
5,7,9,12,13,14,15,16,18,19,20,21,25,26,27,28,29,30,31,34,37,42,43,57,60,65,71,
72,74,75,76,78,79,83,85,86,87,89,90,91,92,94,95,96,97,99,106,108,112,129,130,
131,132,137,141,157,158,159,170,176,187,209,212,213,215,216,219,222,227,246,
252,296,297,300,301,394,397,405,406,415,416,417,418,419,421,462,467,472,474,
490,532,539,542,567,569,570,640,645,865,895,919,967,1252,1263,1483],[1,2,3,4,
5,7,9,12,13,14,15,16,18,19,20,21,23,25,26,27,28,29,30,34,35,39,40,43,48,50,52,
57,60,65,66,71,72,74,75,76,78,79,83,85,90,91,92,94,95,96,97,99,106,107,108,
109,110,115,116,117,118,121,137,140,148,149,150,154,170,176,184,197,209,212,
213,215,216,219,227,237,241,323,325,326,328,331,346,352,354,355,356,363,364,
365,368,371,394,400,450,452,457,472,474,490,513,518,542,575,577,578,581,582,
585,661,665,865,897,903,975,1244,1245,1263,1484],[1,2,3,4,5,7,9,11,12,13,14,
15,16,18,19,20,21,23,24,25,26,27,28,29,30,34,35,40,43,50,54,56,57,60,63,65,70,
71,72,74,75,76,78,79,83,85,90,91,92,94,95,96,97,99,105,106,109,110,114,115,
118,121,136,140,148,149,151,154,170,176,183,199,209,212,213,215,216,219,227,
236,241,324,325,326,328,331,345,350,354,357,361,363,364,369,370,393,399,450,
457,472,474,490,514,519,542,580,581,584,585,661,666,865,899,904,972,1245,1263,
1485],[1,2,3,4,7,8,9,10,11,12,16,17,19,20,22,23,24,32,36,40,43,47,59,60,61,62,
63,64,66,67,68,69,70,80,81,82,101,103,104,119,120,122,135,138,139,147,169,177,
178,183,204,205,206,207,208,221,243,250,278,279,321,322,348,349,351,353,374,
386,389,390,447,458,471,475,477,522,528,540,607,608,609,639,668,868,885,906,
980,1250,1264,1486],[1,2,3,4,7,8,9,10,11,12,16,17,18,19,20,21,23,24,32,34,35,
39,40,43,47,57,58,60,61,62,63,65,66,67,68,69,70,80,81,82,100,101,103,104,114,
115,116,117,118,121,133,134,136,137,140,147,169,177,178,184,203,205,206,207,
208,221,244,249,276,277,280,317,318,319,320,344,345,346,347,350,352,375,386,
387,388,391,446,447,454,455,471,475,477,521,529,540,601,602,603,604,605,606,
638,669,868,886,901,981,1248,1249,1264,1487],[1,2,3,4,5,7,8,9,10,11,12,13,14,
16,17,19,20,21,23,24,27,28,30,32,33,34,35,40,42,45,48,50,52,54,55,56,58,60,62,
63,66,68,69,70,71,73,78,80,82,83,98,101,102,104,105,106,107,108,109,114,117,
118,124,126,128,133,136,137,144,149,151,154,160,169,177,178,186,197,199,200,
201,205,208,217,236,239,247,276,280,288,289,290,312,313,317,318,320,344,347,
356,357,362,369,371,379,381,387,393,394,395,401,408,414,447,454,459,460,465,
481,486,487,488,509,515,534,544,557,561,594,595,603,606,613,616,650,658,660,
868,888,910,913,982,1248,1255,1266,1488],[1,2,3,4,5,7,8,9,10,11,12,13,14,16,
17,18,19,20,23,24,27,29,30,32,33,34,35,39,42,45,48,50,52,54,55,56,57,60,62,63,
66,68,69,70,72,74,76,80,82,83,97,100,102,103,105,106,107,108,110,115,116,121,
124,127,128,133,136,137,144,148,150,154,160,169,177,178,185,197,199,200,201,
205,208,216,237,239,247,277,280,288,289,291,311,313,317,318,319,345,346,354,
355,365,368,370,379,382,388,392,394,395,401,407,413,446,455,459,460,465,481,
486,487,488,513,516,535,544,556,561,589,597,602,605,613,615,651,659,660,868,
887,907,908,984,1249,1255,1266,1489],[1,2,3,4,5,6,8,9,10,12,13,14,15,25,26,27,
28,29,30,31,33,37,41,44,80,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,
102,123,124,129,130,131,132,144,156,157,158,159,172,173,174,188,222,223,224,
225,226,227,231,252,307,308,339,340,376,379,380,415,416,417,418,419,420,421,
466,469,470,478,479,480,491,525,539,546,623,624,625,673,674,869,917,918,920,
987,1256,1265,1490],[1,2,3,4,7,8,9,10,11,12,18,22,23,24,32,35,36,40,43,47,57,
59,61,63,69,80,81,100,101,103,121,122,133,135,136,138,147,165,169,175,176,183,
206,276,279,281,282,320,321,345,348,374,375,388,389,428,447,456,457,471,472,
473,495,548,601,608,679,801,805,807,885,898,899,1090,1260,1491],[1,2,3,4,7,8,
9,10,12,16,17,18,19,20,22,32,34,36,39,40,43,47,57,59,60,62,80,100,101,103,115,
116,119,120,133,135,137,138,147,165,169,175,176,184,205,277,279,282,317,322,
346,349,375,388,389,428,446,447,450,451,452,453,471,472,473,495,547,602,607,
679,800,806,807,886,897,900,1089,1260,1492],[1,2,3,4,7,9,11,12,16,18,19,20,22,
23,24,33,34,36,39,40,43,52,56,57,60,63,64,68,115,116,119,122,125,127,137,139,
144,146,161,175,176,184,200,288,294,311,315,346,351,382,385,431,450,452,453,
456,472,476,496,589,598,677,809,814,897,905,1078,1259,1493],[1,2,3,4,7,9,11,
17,18,22,23,24,33,35,36,40,43,55,57,63,64,67,120,121,122,125,127,136,139,144,
146,161,175,176,183,198,290,295,312,315,345,353,382,385,431,451,456,457,472,
476,496,592,599,677,809,813,899,902,1082,1259,1494],[1,3,5,7,14,16,18,25,29,
31,34,37,39,42,45,48,49,74,86,92,108,112,116,129,131,141,148,152,159,163,176,
178,179,185,209,296,300,325,330,355,367,406,416,426,449,452,455,460,462,464,
483,485,486,497,567,575,576,682,820,823,827,892,907,909,1093,1261,1495],[1,3,
4,5,7,13,14,15,16,18,20,21,26,28,29,30,31,34,35,37,40,42,45,48,49,71,72,74,79,
86,94,96,107,108,112,115,116,117,130,132,141,148,149,152,159,163,176,178,179,
186,213,296,301,326,328,330,332,355,356,366,367,406,417,426,448,450,454,459,
462,463,483,485,486,497,569,578,586,682,821,823,828,893,911,913,1096,1261,
1496],[1,3,4,5,7,13,14,15,16,18,19,21,22,26,29,30,31,34,35,36,37,39,42,45,48,
53,71,74,75,76,87,91,96,107,108,111,113,116,117,119,129,132,142,148,149,153,
155,158,164,175,178,179,185,212,298,302,323,329,331,334,355,356,358,373,404,
415,424,449,453,455,460,461,463,482,484,486,498,566,582,583,683,818,822,830,
891,907,912,1098,1262,1497],[1,3,4,5,7,13,15,16,17,21,22,25,28,30,31,35,36,37,
40,42,45,48,53,71,77,87,95,107,111,113,117,120,130,131,142,149,153,155,158,
164,175,178,179,186,210,298,303,324,329,333,356,358,372,404,418,424,448,451,
454,459,461,464,482,484,486,498,568,574,587,683,819,822,829,890,913,914,1097,
1262,1498],[1,2,3,4,5,7,8,9,10,12,13,14,15,18,22,27,32,33,34,36,42,43,47,57,
59,80,83,84,85,88,100,101,103,112,113,124,133,135,137,138,143,147,165,169,175,
176,187,223,277,279,284,285,336,337,375,388,389,397,398,409,428,461,462,465,
471,472,473,495,551,553,617,679,797,799,800,894,895,915,1102,1260,1499],[1,2,
5,7,8,25,26,27,31,33,37,42,43,47,88,89,90,123,124,131,132,143,156,157,162,169,
179,187,224,338,339,340,409,420,421,433,463,464,465,471,489,494,572,625,681,
835,836,915,916,1107,1258,1500],[1,2,3,4,5,7,8,9,10,12,27,28,29,30,31,32,33,
37,39,40,43,47,80,88,89,97,98,99,100,101,123,124,129,130,143,147,156,157,162,
169,179,184,225,304,306,308,339,375,409,419,420,433,446,447,448,449,471,489,
494,619,623,681,834,835,886,889,1104,1258,1501],[1,2,3,4,7,8,9,10,11,12,18,21,
22,32,43,47,57,58,59,80,81,100,101,103,104,133,134,135,147,165,169,175,176,
191,228,232,233,234,243,244,253,254,258,341,342,343,374,375,386,387,388,389,
390,391,422,423,428,429,471,472,473,495,679,680,686,687,737,739,740,741,744,
929,930,931,942,1116,1260,1502],[1,2,3,4,7,8,9,10,11,12,18,21,22,32,43,45,47,
49,53,57,58,59,65,80,81,82,100,101,103,104,133,134,135,147,165,169,175,176,
182,195,196,203,221,232,233,244,253,341,343,375,386,387,388,389,391,423,428,
471,472,473,481,484,485,495,506,507,529,679,687,739,878,880,881,938,1004,1260,
1503],[1,2,3,4,5,7,9,12,13,14,16,18,19,20,23,27,29,30,31,34,43,45,48,49,50,52,
57,60,66,72,74,76,83,86,87,89,97,106,108,112,115,116,137,141,148,150,152,163,
176,178,179,182,195,197,216,222,237,238,246,256,346,354,355,365,366,367,394,
397,405,406,426,427,472,477,482,483,485,486,487,489,497,511,513,532,682,685,
743,879,881,883,939,1007,1261,1504],[1,2,3,4,5,7,9,10,12,13,14,16,19,20,21,22,
23,27,28,30,31,35,43,45,48,50,52,53,58,59,60,66,71,73,78,83,86,87,89,98,105,
107,111,114,117,136,142,149,151,153,164,175,178,179,182,196,197,217,222,235,
236,245,255,344,356,357,358,359,362,395,396,403,404,424,425,473,477,482,483,
484,486,487,489,498,509,512,531,683,684,742,879,880,883,940,1006,1262,1505],[
1,2,3,4,7,8,9,10,11,12,18,21,22,32,43,47,57,58,59,64,65,80,81,82,100,101,103,
104,133,134,135,147,165,169,175,176,180,194,203,204,221,228,243,244,258,374,
375,386,387,388,389,390,391,428,429,471,472,473,474,476,495,523,528,529,679,
680,737,871,876,877,937,1002,1260,1506],[1,2,3,4,7,8,9,10,11,12,18,21,22,23,
24,33,43,57,58,59,61,63,64,65,69,80,81,125,126,127,143,144,145,146,161,175,
176,180,203,204,206,229,230,259,381,382,383,384,385,410,411,430,431,472,473,
474,476,496,526,527,677,678,738,876,877,941,1001,1259,1507],[1,2,3,4,5,7,8,9,
10,11,12,13,14,15,27,31,33,43,45,47,80,81,82,83,84,85,86,87,88,89,102,123,124,
143,144,145,156,162,169,179,182,221,222,223,229,231,257,376,377,378,379,380,
409,420,432,433,471,481,482,483,489,494,524,525,681,688,736,878,879,936,1003,
1258,1508],[1,2,3,4,7,9,11,18,22,23,32,33,35,43,57,63,64,125,127,133,136,144,
146,161,175,176,191,232,264,309,320,382,385,431,472,476,496,677,713,811,929,
1108,1259,1509],[1,2,5,7,8,27,31,32,33,43,47,88,89,123,124,143,147,156,162,
169,179,191,228,269,335,337,409,420,433,471,489,494,681,711,832,931,1112,1258,
1510],[1,2,3,4,5,7,9,12,13,14,15,16,18,19,20,21,25,26,27,28,29,30,32,34,43,57,
60,65,71,72,74,75,76,78,79,83,85,90,91,92,94,95,96,97,99,133,137,152,170,176,
191,209,212,213,215,216,219,227,232,238,284,317,330,332,472,474,490,542,653,
664,865,929,993,1263,1511],[1,2,3,4,7,8,9,10,11,12,16,17,19,20,23,24,32,43,47,
60,61,62,63,66,67,68,69,70,80,81,82,147,169,177,178,191,205,206,207,208,221,
228,281,282,471,475,477,540,632,868,931,988,1264,1512],[1,2,3,4,7,8,9,10,11,
12,16,17,19,20,23,24,33,36,43,47,60,61,62,63,66,67,68,69,70,80,81,82,138,139,
143,146,169,177,178,189,205,206,207,208,221,230,250,278,279,294,295,335,336,
471,475,477,540,639,643,670,868,921,924,996,1264,1513],[1,2,3,4,5,7,9,12,13,
14,15,16,18,19,20,21,25,26,27,28,29,30,33,35,37,43,57,60,65,71,72,74,75,76,78,
79,83,85,90,91,92,94,95,96,97,99,136,142,144,156,157,158,159,170,176,189,209,
212,213,215,216,219,227,231,245,252,289,292,296,297,302,303,308,340,472,474,
490,542,635,640,646,674,865,922,927,999,1263,1514],[1,2,3,4,5,6,8,9,10,12,13,
14,15,25,26,27,28,29,30,34,35,37,44,80,83,84,85,88,90,91,92,93,94,95,96,97,98,
99,136,137,141,142,157,158,159,172,173,174,190,223,224,225,226,227,245,246,
252,280,286,300,301,302,303,307,339,478,479,480,491,546,636,645,646,673,869,
925,926,928,998,1265,1515],[1,2,5,7,8,27,31,33,43,47,88,89,123,124,143,156,
161,162,166,169,179,189,259,260,335,338,409,420,433,434,439,440,471,489,494,
681,725,745,849,852,921,933,1173,1258,1516],[1,2,3,4,7,9,11,18,22,23,33,35,43,
57,63,64,125,127,136,144,146,161,162,166,175,176,189,257,261,290,292,382,385,
431,435,438,440,472,476,496,677,727,747,847,851,922,932,1172,1259,1517],[1,2,
3,4,5,7,9,12,13,14,15,16,18,19,20,21,25,26,27,28,29,30,34,43,45,49,57,60,65,
71,72,74,75,76,78,79,83,85,90,91,92,94,95,96,97,99,112,115,116,137,152,170,
176,182,195,209,212,213,215,216,219,227,238,330,332,346,366,367,397,472,474,
485,490,511,542,576,586,664,865,881,971,1263,1276,1518],[1,2,3,4,7,8,9,10,11,
12,16,17,19,20,23,24,32,43,47,60,61,62,63,66,67,68,69,70,80,81,82,100,101,147,
169,177,178,180,194,205,206,207,208,221,228,281,282,374,375,471,475,477,523,
540,547,548,632,868,871,959,1264,1280,1519],[1,2,3,4,7,8,9,10,12,18,22,32,33,
35,36,43,47,57,59,80,100,101,103,133,135,136,138,143,144,145,147,165,169,175,
176,189,229,264,266,269,276,279,292,293,335,336,375,388,389,428,471,472,473,
495,679,703,704,712,796,799,801,921,922,923,1114,1260,1520],[1,2,5,6,8,27,31,
33,41,44,47,88,89,123,124,143,156,162,172,188,194,335,409,420,433,466,491,573,
681,832,864,920,1076,1251,1275,1521],[1,2,3,4,7,8,9,10,12,16,17,18,19,20,22,
32,34,36,39,40,43,47,57,59,60,62,80,100,101,103,115,116,119,120,133,135,137,
138,147,165,169,177,178,184,205,277,279,282,317,322,346,349,375,388,389,428,
446,447,455,458,471,547,602,607,679,800,806,807,868,886,1089,1249,1250,1280,
1522],[1,2,3,4,7,8,9,10,11,12,16,17,19,20,21,22,32,35,36,40,43,47,58,59,60,62,
80,81,100,101,103,104,114,117,119,120,133,134,135,136,138,147,165,169,177,178,
183,205,276,279,282,318,322,344,349,374,375,387,389,390,391,428,429,447,454,
458,471,547,603,607,680,801,804,805,868,885,1092,1248,1250,1280,1523],[1,3,5,
7,14,16,18,25,29,31,34,37,39,42,45,48,49,74,86,92,108,112,116,129,131,141,148,
152,159,163,170,176,185,209,296,300,325,330,355,367,406,416,426,452,462,467,
485,567,575,576,682,820,823,827,865,909,1093,1244,1252,1276,1524],[1,3,4,5,7,
14,16,18,20,23,25,29,30,31,34,35,37,40,42,45,49,50,72,74,86,92,106,108,109,
112,115,116,121,129,131,141,148,149,150,152,159,163,170,176,186,209,296,300,
326,330,331,354,364,365,366,367,405,406,416,426,427,450,457,462,467,485,567,
576,581,685,817,821,828,865,911,1095,1245,1252,1276,1525],[1,3,4,5,7,13,15,16,
17,21,22,25,28,30,31,35,36,37,40,42,45,48,53,71,77,87,95,107,111,113,117,120,
130,131,142,149,153,155,158,164,171,177,178,186,210,298,303,324,329,333,356,
358,372,404,418,424,454,458,459,468,486,568,574,587,683,819,822,829,867,913,
1097,1247,1254,1278,1526],[1,3,5,7,14,16,18,25,29,31,34,37,39,42,45,48,49,74,
86,92,108,112,116,129,131,141,148,152,159,163,171,178,185,209,296,300,325,330,
355,367,406,416,426,455,460,468,486,567,575,576,682,820,823,827,866,907,1093,
1246,1253,1277,1527],[1,2,5,7,8,25,26,27,31,33,37,42,43,47,88,89,90,123,124,
131,132,143,156,157,162,169,171,187,224,338,339,340,409,420,421,433,465,468,
471,572,625,681,835,836,870,915,1107,1257,1279,1528],[1,2,4,5,6,8,10,11,27,33,
36,37,44,81,88,102,125,138,143,157,172,190,260,278,339,377,410,491,626,795,
833,884,928,1223,1281,1529],[1,2,5,7,8,25,26,27,33,43,47,88,90,124,143,166,
169,171,189,224,335,338,409,434,471,572,745,832,870,921,1206,1279,1530],[1,2,
5,6,8,27,33,37,44,47,88,124,143,157,166,172,190,194,335,339,409,434,491,573,
745,835,864,928,1205,1275,1531],[1,2,4,5,6,8,10,11,25,26,27,32,33,44,81,88,90,
102,125,128,135,143,147,172,181,224,243,260,268,281,304,337,377,410,412,491,
618,626,689,706,776,873,884,1011,1281,1288,1532],[1,2,3,4,7,8,9,10,11,12,34,
35,43,45,47,80,81,82,136,137,140,163,164,169,182,221,249,255,256,274,275,276,
277,280,471,481,497,498,638,841,842,878,939,940,1008,1533],[1,2,3,4,7,9,12,16,
19,20,23,32,33,34,35,43,45,48,50,52,60,66,133,136,137,144,154,160,162,163,164,
165,178,182,197,239,247,253,255,256,257,263,264,265,270,288,289,317,318,477,
486,487,494,495,497,498,660,839,843,844,845,883,936,938,939,940,1009,1534],[1,
2,3,4,7,8,9,10,12,18,21,32,33,43,57,58,65,80,143,147,160,161,165,176,180,203,
251,258,259,268,269,282,306,336,472,474,495,496,633,838,840,876,937,941,1010,
1535],[1,2,4,5,6,8,10,11,15,27,31,33,41,44,81,84,88,89,102,123,124,125,143,
145,156,162,166,172,188,260,377,378,380,410,420,432,433,434,437,438,466,491,
626,688,748,849,854,884,920,1230,1281,1303,1536],[1,2,3,4,5,7,8,9,10,11,12,27,
28,29,30,32,33,39,40,42,43,45,47,80,81,82,88,97,98,99,100,101,124,125,126,127,
128,143,147,160,169,180,182,183,184,185,186,187,189,191,194,221,225,228,251,
267,268,304,305,306,335,374,375,409,410,411,412,413,414,446,447,465,471,481,
492,493,499,500,501,503,504,523,538,573,619,622,627,750,752,778,871,878,885,
886,887,888,915,921,931,943,1157,1267,1268,1282,1285,1293,1297,1302,1537],[1,
2,3,4,5,7,8,9,10,11,12,15,17,19,20,21,22,23,24,27,28,29,30,32,33,36,39,40,42,
43,45,53,58,59,61,62,64,67,68,69,70,75,77,79,81,82,84,97,98,100,101,102,103,
104,113,119,120,122,124,126,127,128,134,135,138,139,145,155,160,175,180,182,
183,184,185,186,187,189,191,196,204,207,218,234,240,248,250,266,272,273,278,
285,293,314,321,322,342,343,348,349,351,353,372,373,378,383,390,391,398,402,
407,408,413,414,451,453,456,461,473,476,484,492,493,499,500,501,503,504,508,
517,522,536,558,596,609,612,631,759,764,765,769,781,788,877,880,894,898,900,
902,905,912,914,923,930,943,1162,1271,1272,1284,1286,1289,1294,1300,1538],[1,
2,3,4,5,7,8,9,10,11,12,13,14,16,18,19,20,21,23,24,27,29,30,32,33,34,35,39,40,
42,43,45,49,57,58,60,63,65,66,68,69,70,72,74,76,80,82,83,97,100,102,103,111,
112,114,115,116,117,118,121,124,127,128,133,136,137,140,144,152,160,176,180,
182,183,184,185,186,187,189,191,195,203,208,216,232,238,247,249,265,270,271,
280,283,287,292,309,318,319,341,344,345,346,347,350,352,366,367,379,382,388,
396,397,401,407,413,450,452,457,462,472,474,485,492,493,499,500,501,503,504,
506,511,521,535,559,591,605,610,630,758,763,766,767,779,786,876,881,895,897,
899,903,904,909,911,922,929,943,1160,1270,1273,1283,1287,1290,1295,1301,
1539],[1,2,6,8,38,47,172,193,194,864,1243,1540],[1,2,3,4,5,8,9,10,11,12,13,14,
15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,32,33,47,57,58,59,60,61,62,63,
64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,88,90,91,92,
93,94,95,96,97,98,99,100,101,102,103,104,124,125,126,127,128,133,134,135,143,
144,145,146,147,160,161,165,194,203,204,205,206,207,208,209,210,211,212,213,
214,215,216,217,218,219,220,221,223,224,225,226,227,228,229,230,243,244,247,
248,251,258,259,260,267,268,269,281,282,304,305,306,335,336,337,338,374,375,
377,378,379,381,382,383,384,385,386,387,388,389,390,391,401,402,407,408,409,
410,411,412,413,414,428,429,430,431,523,524,526,527,528,529,530,534,535,536,
537,538,540,541,542,543,546,547,548,549,550,554,555,562,572,573,617,618,619,
620,621,622,626,627,632,633,637,644,670,671,672,675,677,678,679,680,689,690,
695,697,705,706,707,711,712,724,725,726,729,737,738,749,750,751,752,773,776,
777,778,791,794,838,840,953,954,958,959,960,961,963,964,986,1001,1002,1010,
1011,1012,1016,1017,1031,1032,1033,1037,1073,1074,1131,1132,1138,1139,1147,
1150,1152,1157,1164,1167,1189,1190,1193,1194,1207,1214,1318,1333,1337,1372,
1374,1432,1541],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,
27,28,29,30,31,32,33,34,35,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,
65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,97,
98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,114,115,116,117,118,
121,123,124,126,127,128,133,134,135,136,137,140,141,142,143,144,145,147,148,
149,150,151,152,153,154,156,160,162,163,164,165,195,196,197,198,199,200,201,
202,203,205,206,207,208,216,217,218,219,220,221,222,223,225,229,231,232,233,
235,236,237,238,239,241,242,244,245,246,247,248,249,251,253,255,256,257,261,
262,263,264,265,270,271,274,275,276,277,280,283,284,286,287,288,289,290,291,
292,309,310,311,312,313,317,318,319,320,341,343,344,345,346,347,350,352,354,
355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,375,376,
377,378,379,380,381,382,383,386,387,388,389,391,392,393,394,395,396,397,399,
400,401,402,403,404,405,406,407,408,409,411,412,413,414,420,423,424,425,426,
427,428,432,433,506,507,509,510,511,512,513,514,515,516,518,519,520,521,524,
525,526,529,530,531,532,533,534,535,536,537,538,540,541,544,545,551,552,556,
557,559,560,561,563,564,565,589,590,591,592,593,594,595,597,601,602,603,604,
605,606,610,611,613,614,615,616,628,629,630,634,635,636,638,642,647,648,650,
651,652,653,655,657,658,659,660,669,675,676,679,681,682,683,684,685,687,688,
691,692,693,694,696,699,700,701,702,703,708,710,713,714,716,717,718,719,720,
721,722,723,727,728,730,732,733,734,735,736,739,742,743,753,754,755,756,757,
758,760,761,762,763,766,767,768,770,771,772,774,775,779,780,782,783,784,785,
786,787,789,790,792,793,839,841,842,843,844,845,952,955,956,957,962,965,968,
969,977,979,981,982,983,984,985,1003,1004,1006,1007,1008,1009,1013,1014,1015,
1018,1019,1021,1022,1023,1024,1026,1027,1028,1029,1030,1034,1035,1070,1072,
1074,1075,1133,1134,1136,1137,1140,1141,1142,1143,1144,1145,1146,1151,1153,
1155,1156,1158,1159,1160,1161,1163,1165,1166,1178,1179,1180,1181,1182,1183,
1185,1186,1187,1188,1191,1192,1208,1209,1210,1211,1212,1213,1320,1334,1335,
1336,1373,1375,1377,1378,1430,1431,1542],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,
17,18,19,20,21,23,24,25,26,27,28,29,30,32,33,36,47,57,58,60,61,62,63,65,66,67,
68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,88,90,91,92,93,94,95,96,
97,98,99,100,101,102,103,104,124,126,127,128,133,134,138,139,143,144,145,147,
160,203,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,
223,224,225,226,227,228,229,244,247,248,250,251,278,279,281,282,304,306,315,
316,336,337,338,375,377,378,379,381,382,383,386,387,388,391,401,402,407,408,
409,411,412,413,414,524,526,529,530,534,535,536,537,538,540,541,542,543,546,
547,550,554,562,572,617,618,619,620,621,632,633,639,644,656,671,672,675,802,
804,807,809,810,831,953,961,963,964,986,988,992,1049,1051,1052,1065,1073,1074,
1318,1348,1351,1543],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,18,19,20,21,23,24,
27,28,29,30,32,33,34,35,36,37,47,48,50,51,52,54,55,56,57,58,60,61,62,63,65,66,
67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,88,97,98,99,100,101,
102,103,104,105,106,107,108,109,110,114,115,116,117,118,121,124,126,127,128,
133,134,136,137,138,140,143,144,145,147,148,149,150,151,152,154,155,157,158,
159,160,197,198,199,200,201,202,203,205,206,207,208,216,217,218,219,220,221,
223,225,229,236,237,238,239,240,241,242,244,247,248,249,251,252,276,277,279,
280,288,289,290,291,296,297,298,299,307,310,311,312,313,314,317,318,319,320,
327,329,330,332,339,344,345,346,347,350,352,354,355,356,357,360,361,362,363,
364,365,368,369,370,371,375,377,378,379,381,382,383,386,387,388,391,392,393,
394,395,399,400,401,402,407,408,409,411,412,413,414,509,510,513,514,515,516,
518,519,520,521,524,526,529,530,533,534,535,536,537,538,540,541,544,545,556,
557,560,561,589,590,592,594,595,597,601,602,603,604,605,606,613,614,615,616,
638,640,641,642,648,649,650,651,655,657,658,659,660,663,664,669,673,675,676,
800,803,812,815,817,822,823,824,825,826,833,835,952,962,977,979,981,982,983,
984,985,989,990,997,1041,1047,1054,1055,1058,1059,1067,1068,1070,1072,1074,
1075,1320,1349,1352,1353,1354,1544],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,18,
19,20,21,23,24,25,26,27,28,29,30,32,33,34,35,47,48,50,51,52,54,55,56,57,58,60,
61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,88,90,
91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,114,
115,116,117,118,121,124,126,127,128,133,134,136,137,140,143,144,145,147,148,
149,150,151,154,160,197,198,199,200,201,202,203,205,206,207,208,209,210,211,
212,213,214,215,216,217,218,219,220,221,223,224,225,226,227,229,236,237,239,
241,242,244,247,248,249,251,276,277,280,282,288,289,290,291,304,306,311,312,
313,317,318,319,320,323,324,325,326,328,331,336,337,338,344,345,346,347,350,
352,354,355,356,357,360,361,362,363,364,365,368,369,370,371,375,377,378,379,
381,382,383,386,387,388,391,392,393,394,395,399,400,401,402,407,408,409,411,
412,413,414,509,510,513,514,515,516,518,519,520,521,524,526,529,530,533,534,
535,536,537,538,540,541,542,543,544,545,546,547,550,554,556,557,560,561,562,
572,574,575,577,578,579,580,581,582,584,585,589,590,592,594,595,597,601,602,
603,604,605,606,613,614,615,616,617,618,619,620,621,633,638,642,644,650,651,
655,657,658,659,660,661,662,665,666,669,671,672,675,676,853,952,953,961,962,
963,964,972,973,974,975,977,979,981,982,983,984,985,986,1070,1071,1072,1073,
1074,1075,1169,1318,1319,1320,1379,1380,1545],[1,2,3,4,5,8,9,10,11,12,13,14,
15,16,17,18,19,20,21,23,24,27,28,29,30,32,33,35,36,37,47,57,58,60,61,62,63,65,
66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,88,97,98,99,100,
101,102,103,104,124,126,127,128,133,134,136,138,139,143,144,145,147,153,155,
157,158,159,160,203,205,206,207,208,216,217,218,219,220,221,223,225,228,229,
235,240,244,247,248,250,251,252,276,278,279,281,282,296,297,298,299,307,309,
314,315,316,333,334,339,375,377,378,379,381,382,383,386,387,388,391,401,402,
407,408,409,411,412,413,414,524,526,529,530,534,535,536,537,538,540,541,632,
639,640,641,647,649,656,667,673,675,801,802,803,804,807,808,811,816,833,835,
988,991,992,997,1039,1040,1046,1049,1065,1067,1068,1074,1350,1351,1354,1546],[
1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,18,19,20,21,23,24,27,28,29,30,32,33,34,
36,47,57,58,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,
83,84,85,88,97,98,99,100,101,102,103,104,124,126,127,128,133,134,137,138,139,
143,144,145,146,147,152,155,160,203,205,206,207,208,216,217,218,219,220,221,
223,225,229,230,238,240,244,247,248,250,251,277,278,279,294,295,310,314,315,
316,327,329,330,332,335,336,375,377,378,379,381,382,383,386,387,388,391,401,
402,407,408,409,411,412,413,414,524,526,529,530,534,535,536,537,538,540,541,
639,643,648,649,656,663,664,670,675,795,798,799,800,809,810,812,815,831,832,
989,990,992,996,1038,1041,1047,1051,1052,1062,1063,1074,1348,1349,1355,1547],[
1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,27,28,29,30,32,33,
36,37,47,53,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,
79,80,81,82,83,84,85,88,97,98,99,100,101,102,103,104,113,119,120,122,124,126,
127,128,133,134,135,138,139,143,144,145,147,155,157,158,159,160,165,196,203,
204,205,206,207,208,216,217,218,219,220,221,223,225,229,233,234,240,243,244,
247,248,250,251,252,254,266,272,273,278,279,285,293,296,297,298,299,307,314,
315,316,321,322,339,341,342,343,348,349,351,353,372,373,374,375,377,378,379,
381,382,383,386,387,388,389,390,391,398,401,402,407,408,409,411,412,413,414,
422,423,428,429,507,508,517,522,524,526,528,529,530,534,535,536,537,538,540,
541,553,558,596,607,608,609,612,631,639,640,641,649,654,656,668,673,675,680,
686,687,698,704,709,715,731,740,741,759,764,765,769,781,788,803,809,810,831,
833,835,846,970,980,992,997,1005,1020,1025,1036,1051,1052,1067,1068,1074,1135,
1154,1162,1184,1218,1227,1348,1354,1376,1418,1548],[1,2,3,4,5,8,9,10,11,12,13,
14,15,16,17,18,19,20,21,23,24,27,28,29,30,31,32,33,34,35,36,47,57,58,60,61,62,
63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,
97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,123,124,126,127,
128,133,134,136,137,138,139,140,141,142,143,144,145,147,153,155,156,160,162,
203,205,206,207,208,216,217,218,219,220,221,222,223,225,229,231,235,240,244,
245,246,247,248,249,250,251,257,261,262,263,264,265,276,277,278,279,280,283,
284,286,287,288,289,290,291,292,309,314,315,316,333,334,375,376,377,378,379,
380,381,382,383,386,387,388,391,392,393,394,395,396,397,399,400,401,402,403,
404,405,406,407,408,409,411,412,413,414,420,432,433,524,525,526,529,530,531,
532,533,534,535,536,537,538,540,541,551,552,556,557,559,560,561,563,564,565,
628,629,634,635,636,638,639,642,647,649,656,667,675,681,688,696,702,703,708,
710,727,728,736,767,768,770,771,772,774,775,789,790,792,793,801,808,809,810,
811,816,831,839,962,965,991,992,1003,1018,1034,1035,1039,1040,1046,1051,1052,
1074,1133,1151,1165,1166,1191,1192,1216,1217,1225,1226,1348,1350,1373,1416,
1417,1549],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,27,28,
29,30,32,33,36,37,47,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,
76,77,78,79,80,81,82,83,84,85,88,97,98,99,100,101,102,103,104,124,125,126,127,
128,133,134,135,138,139,143,144,145,146,147,157,158,159,160,161,203,204,205,
206,207,208,216,217,218,219,220,221,223,225,229,230,243,244,247,248,250,251,
252,259,260,267,268,269,278,279,281,282,294,295,296,297,298,299,305,306,307,
335,336,337,338,339,374,375,377,378,379,381,382,383,384,385,386,387,388,389,
390,391,401,402,407,408,409,410,411,412,413,414,430,431,524,526,527,528,529,
530,534,535,536,537,538,540,541,548,549,550,555,562,620,621,622,626,627,633,
637,639,640,641,643,670,672,673,675,677,678,697,705,707,712,724,725,726,738,
749,751,752,773,776,777,791,794,795,798,799,803,832,833,835,840,960,961,996,
997,1001,1017,1033,1037,1038,1062,1063,1067,1068,1074,1132,1152,1164,1167,
1190,1194,1215,1219,1223,1224,1354,1355,1374,1415,1419,1550],[1,2,3,4,5,8,9,
10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,27,28,29,30,32,33,34,35,36,47,48,
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,
76,77,78,79,80,81,82,83,84,85,88,97,98,99,100,101,102,103,104,105,106,107,108,
109,110,113,114,115,116,117,118,119,120,121,122,124,125,126,127,128,133,134,
135,136,137,138,139,140,143,144,145,146,147,148,149,150,151,154,155,160,165,
196,197,198,199,200,201,202,203,204,205,206,207,208,216,217,218,219,220,221,
223,225,229,230,233,234,236,237,239,240,241,242,243,244,247,248,249,250,251,
254,266,272,273,276,277,278,279,280,285,288,289,290,291,293,294,295,305,306,
311,312,313,314,315,316,317,318,319,320,321,322,335,336,341,342,343,344,345,
346,347,348,349,350,351,352,353,354,355,356,357,360,361,362,363,364,365,368,
369,370,371,372,373,374,375,377,378,379,381,382,383,384,385,386,387,388,389,
390,391,392,393,394,395,398,399,400,401,402,407,408,409,410,411,412,413,414,
422,423,428,429,507,508,509,510,513,514,515,516,517,518,519,520,521,522,524,
526,527,528,529,530,533,534,535,536,537,538,540,541,544,545,549,550,553,556,
557,558,560,561,589,590,592,594,595,596,597,598,599,600,601,602,603,604,605,
606,607,608,609,612,613,614,615,616,622,631,637,638,639,642,643,649,650,651,
654,655,656,657,658,659,660,668,669,670,675,676,680,686,687,698,704,709,715,
731,740,741,759,764,765,769,781,788,795,796,797,798,799,815,816,832,846,952,
960,962,970,977,978,979,980,981,982,983,984,985,992,995,996,1005,1020,1025,
1036,1038,1048,1062,1063,1064,1070,1072,1074,1075,1085,1086,1087,1088,1122,
1129,1135,1154,1162,1184,1316,1320,1355,1365,1376,1381,1394,1401,1406,1551],[
1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,27,28,29,30,32,33,
34,35,36,47,48,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,
72,73,74,75,76,77,78,79,80,81,82,83,84,85,88,97,98,99,100,101,102,103,104,105,
106,107,108,109,110,114,115,116,117,118,119,120,121,122,124,125,126,127,128,
133,134,135,136,137,138,139,140,143,144,145,146,147,148,149,150,151,154,160,
161,197,198,199,200,201,202,203,204,205,206,207,208,216,217,218,219,220,221,
223,225,229,230,236,237,239,241,242,243,244,247,248,249,250,251,259,260,267,
268,269,276,277,278,279,280,281,282,288,289,290,291,294,295,305,306,311,312,
313,315,316,317,318,319,320,321,322,335,336,337,338,344,345,346,347,348,349,
350,351,352,353,354,355,356,357,360,361,362,363,364,365,368,369,370,371,374,
375,377,378,379,381,382,383,384,385,386,387,388,389,390,391,392,393,394,395,
399,400,401,402,407,408,409,410,411,412,413,414,430,431,509,510,513,514,515,
516,518,519,520,521,522,524,526,527,528,529,530,533,534,535,536,537,538,540,
541,544,545,548,549,550,555,556,557,560,561,562,589,590,592,594,595,597,598,
599,600,601,602,603,604,605,606,607,608,609,613,614,615,616,620,621,622,626,
627,633,637,638,639,642,643,650,651,655,656,657,658,659,660,668,669,670,672,
675,676,677,678,697,705,707,712,724,725,726,738,749,751,752,773,776,777,791,
794,809,810,813,814,831,840,952,960,961,962,977,978,979,980,981,982,983,984,
985,992,995,996,1001,1017,1033,1037,1051,1052,1053,1070,1072,1074,1075,1078,
1080,1081,1082,1125,1132,1152,1164,1167,1190,1194,1316,1320,1348,1370,1374,
1385,1395,1407,1552],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,
24,27,28,29,30,32,33,34,35,36,47,48,50,51,52,54,55,56,57,58,59,60,61,62,63,64,
65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,88,97,98,99,
100,101,102,103,104,105,106,107,108,109,110,114,115,116,117,118,119,120,121,
122,124,125,126,127,128,133,134,135,136,137,138,139,140,143,144,145,146,147,
148,149,150,151,154,160,165,194,197,198,199,200,201,202,203,204,205,206,207,
208,216,217,218,219,220,221,223,225,228,229,230,236,237,239,241,242,243,244,
247,248,249,250,251,258,267,268,269,276,277,278,279,280,281,282,288,289,290,
291,294,295,304,305,306,311,312,313,315,316,317,318,319,320,321,322,335,336,
337,344,345,346,347,348,349,350,351,352,353,354,355,356,357,360,361,362,363,
364,365,368,369,370,371,374,375,377,378,379,381,382,383,384,385,386,387,388,
389,390,391,392,393,394,395,399,400,401,402,407,408,409,410,411,412,413,414,
428,429,509,510,513,514,515,516,518,519,520,521,522,523,524,526,527,528,529,
530,533,534,535,536,537,538,540,541,544,545,547,548,549,550,554,555,556,557,
560,561,562,573,589,590,592,594,595,597,598,599,600,601,602,603,604,605,606,
607,608,609,613,614,615,616,617,619,622,627,632,633,637,638,639,642,643,644,
650,651,655,656,657,658,659,660,668,669,670,675,676,679,680,695,705,706,707,
711,712,729,737,749,750,752,773,776,778,791,794,800,801,802,804,805,806,807,
838,952,959,960,962,964,977,978,979,980,981,982,983,984,985,988,992,995,996,
1002,1016,1031,1032,1037,1049,1050,1065,1066,1070,1072,1074,1075,1089,1090,
1091,1092,1121,1128,1131,1150,1157,1167,1189,1193,1313,1316,1320,1351,1363,
1364,1372,1382,1393,1400,1403,1553],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,18,
19,20,21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,47,49,53,57,58,59,60,61,62,
63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,88,90,91,92,
93,94,95,96,97,98,99,100,101,102,103,104,111,112,113,114,115,116,117,118,119,
120,121,124,126,127,128,133,134,135,136,137,138,140,143,144,145,147,152,153,
155,160,165,195,196,203,205,206,207,208,209,210,211,212,213,214,215,216,217,
218,219,220,221,223,224,225,226,227,229,232,233,235,238,240,244,247,248,249,
251,253,264,265,270,271,276,277,279,280,282,283,284,285,287,292,304,306,309,
310,314,317,318,319,320,322,327,329,330,332,333,334,336,337,338,341,343,344,
345,346,347,349,350,352,358,359,366,367,372,373,375,377,378,379,381,382,383,
386,387,388,389,391,396,397,398,401,402,407,408,409,411,412,413,414,423,428,
506,507,511,512,517,521,524,526,529,530,534,535,536,537,538,540,541,542,543,
546,547,550,551,552,553,554,559,562,572,576,583,586,587,588,591,593,601,602,
603,604,605,606,607,610,611,612,617,618,619,620,621,630,633,638,644,647,648,
649,652,653,654,663,664,667,669,671,672,675,679,687,699,702,703,708,713,714,
730,739,757,758,762,763,766,767,768,779,780,786,787,797,799,800,806,807,812,
815,845,953,961,963,964,968,969,970,971,976,981,986,989,990,991,993,994,1004,
1019,1023,1024,1035,1041,1043,1045,1047,1073,1074,1083,1086,1089,1102,1118,
1120,1134,1153,1160,1161,1182,1183,1314,1315,1318,1349,1360,1361,1375,1384,
1390,1392,1405,1554],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,
24,25,26,27,28,29,30,32,33,35,36,47,53,57,58,59,60,61,62,63,64,65,66,67,68,69,
70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,88,90,91,92,93,94,95,96,97,98,
99,100,101,102,103,104,111,113,114,117,119,120,122,124,126,127,128,133,134,
135,136,138,139,143,144,145,147,153,155,160,165,196,203,204,205,206,207,208,
209,210,211,212,213,214,215,216,217,218,219,220,221,223,224,225,226,227,229,
233,234,235,240,243,244,247,248,250,251,254,266,272,273,276,278,279,282,283,
285,293,304,306,309,314,318,321,322,327,329,333,334,336,337,338,341,342,343,
344,348,349,351,353,358,359,372,373,374,375,377,378,379,381,382,383,386,387,
388,389,390,391,396,398,401,402,407,408,409,411,412,413,414,422,423,428,429,
507,508,512,517,522,524,526,528,529,530,534,535,536,537,538,540,541,542,543,
546,547,550,552,553,554,558,562,572,583,587,588,596,603,607,608,609,610,612,
617,618,619,620,621,631,633,639,644,647,649,652,654,663,667,668,671,672,675,
680,686,687,698,704,709,715,731,740,741,759,764,765,769,781,788,796,798,801,
804,805,808,811,816,846,953,961,963,964,969,970,976,980,986,990,991,994,1005,
1020,1025,1036,1039,1040,1042,1044,1046,1073,1074,1084,1085,1092,1103,1117,
1119,1135,1154,1162,1184,1315,1318,1350,1362,1376,1383,1389,1391,1404,1555],[
1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,18,19,20,21,23,24,25,26,27,28,29,30,31,
32,33,34,35,37,48,49,50,52,54,55,56,57,58,60,62,63,65,66,68,69,70,71,72,73,74,
75,76,77,78,79,80,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,
102,103,105,106,107,108,109,110,111,112,114,115,116,117,118,121,123,124,127,
128,129,130,131,132,133,136,137,140,141,142,144,148,149,150,151,152,154,156,
157,158,159,160,163,195,197,199,200,201,203,205,208,209,210,211,212,213,214,
215,216,217,218,219,220,222,223,224,225,226,227,231,232,236,237,238,239,241,
242,245,246,247,249,252,256,262,263,265,270,271,274,275,277,280,283,284,286,
287,288,289,291,292,296,297,298,299,300,301,302,303,307,308,309,310,311,313,
317,318,319,323,324,325,326,328,330,331,332,339,340,341,344,345,346,347,350,
352,354,355,356,357,360,361,362,363,364,365,366,367,368,369,370,371,376,379,
380,382,388,392,393,394,395,396,397,399,400,401,403,404,405,406,407,413,415,
416,417,418,419,420,421,426,427,506,509,510,511,513,514,515,516,518,519,520,
521,525,531,532,533,535,539,541,542,543,544,546,551,556,559,561,563,564,565,
566,567,568,569,570,571,574,575,576,577,578,579,580,581,582,584,585,586,589,
591,597,602,605,610,611,613,615,623,624,625,629,630,634,635,636,640,641,645,
646,648,651,653,659,660,661,662,664,665,666,673,674,676,682,685,700,716,717,
719,720,722,723,733,734,743,754,755,756,758,760,761,763,766,767,770,771,775,
779,782,783,784,786,789,792,817,820,821,823,826,827,828,842,844,953,965,966,
967,968,971,972,973,974,975,984,987,989,993,997,998,999,1000,1007,1022,1027,
1028,1030,1056,1058,1059,1060,1071,1075,1093,1095,1096,1100,1124,1127,1136,
1155,1159,1160,1163,1165,1179,1181,1185,1188,1314,1317,1319,1352,1367,1369,
1378,1386,1397,1398,1408,1556],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,18,19,
20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,48,50,52,53,54,55,56,57,
58,59,60,62,63,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,82,83,84,85,86,87,
88,89,90,91,92,93,94,95,96,97,98,99,101,102,103,104,105,106,107,108,109,110,
111,112,113,114,115,116,117,118,119,120,121,123,124,126,128,129,130,131,132,
133,135,136,137,138,140,141,142,144,148,149,150,151,153,154,155,156,157,158,
159,160,164,196,197,199,200,201,203,205,208,209,210,211,212,213,214,215,216,
217,218,219,220,222,223,224,225,226,227,231,233,235,236,237,239,240,241,242,
245,246,247,249,252,255,261,263,264,270,271,274,275,276,279,280,283,284,285,
286,287,288,289,290,292,296,297,298,299,300,301,302,303,307,308,309,310,312,
313,314,317,318,320,322,323,324,325,326,327,328,329,331,333,334,339,340,341,
343,344,345,346,347,349,350,352,354,355,356,357,358,359,360,361,362,363,364,
365,368,369,370,371,372,373,376,379,380,381,387,389,392,393,394,395,396,397,
398,399,400,401,403,404,405,406,408,414,415,416,417,418,419,420,421,424,425,
507,509,510,512,513,514,515,516,517,518,519,520,521,525,531,532,533,534,539,
541,542,543,544,546,552,553,557,559,561,563,564,565,566,567,568,569,570,571,
574,575,577,578,579,580,581,582,583,584,585,587,588,593,594,595,603,606,607,
610,611,612,613,616,623,624,625,628,630,634,635,636,640,641,645,646,647,649,
650,652,654,658,660,661,662,663,665,666,667,673,674,676,683,684,701,716,717,
718,720,721,722,732,735,742,753,754,755,757,760,761,762,766,768,770,772,774,
780,782,783,785,787,790,793,818,819,822,824,825,829,830,841,843,953,965,966,
967,969,970,972,973,974,975,976,982,987,990,991,994,997,998,999,1000,1006,
1021,1026,1029,1030,1054,1055,1057,1061,1071,1075,1094,1097,1098,1099,1123,
1126,1137,1156,1158,1161,1163,1166,1178,1180,1186,1187,1315,1317,1319,1353,
1366,1368,1377,1387,1396,1399,1409,1557],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,
17,18,19,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,37,47,57,58,60,61,62,63,
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,
112,123,124,126,127,128,129,130,131,132,133,134,136,137,140,141,142,143,144,
145,147,156,157,158,159,160,162,203,205,206,207,208,209,210,211,212,213,214,
215,216,217,218,219,220,221,222,223,224,225,226,227,229,231,244,245,246,247,
248,249,251,252,257,261,262,263,264,265,276,277,280,282,283,284,286,287,288,
289,290,291,292,296,297,298,299,300,301,302,303,304,306,307,308,336,337,338,
339,340,375,376,377,378,379,380,381,382,383,386,387,388,391,392,393,394,395,
396,397,399,400,401,402,403,404,405,406,407,408,409,411,412,413,414,415,416,
417,418,419,420,421,432,433,524,525,526,529,530,531,532,533,534,535,536,537,
538,539,540,541,542,543,546,547,550,551,552,554,556,557,559,560,561,562,563,
564,565,566,567,568,569,570,571,572,617,618,619,620,621,623,624,625,628,629,
633,634,635,636,638,640,641,642,644,645,646,671,672,673,674,675,681,688,696,
702,703,708,710,727,728,736,767,768,770,771,772,774,775,789,790,792,793,803,
833,834,835,836,839,953,961,962,963,964,965,966,967,986,987,997,998,999,1000,
1003,1018,1034,1035,1067,1068,1069,1073,1074,1104,1105,1106,1107,1130,1133,
1151,1165,1166,1191,1192,1317,1318,1354,1371,1373,1388,1402,1410,1558],[1,2,3,
4,5,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,27,28,29,30,32,33,34,36,
47,53,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,
81,82,83,84,85,88,97,98,99,100,101,102,103,104,113,118,119,120,122,124,125,
126,127,128,133,134,135,137,138,139,143,144,145,146,147,152,155,160,161,165,
196,203,204,205,206,207,208,216,217,218,219,220,221,223,225,229,230,233,234,
238,240,243,244,247,248,250,251,254,259,260,265,266,267,268,269,272,273,277,
278,279,281,282,285,287,293,305,306,310,314,319,321,322,327,329,330,332,335,
336,337,338,341,342,343,347,348,349,351,353,372,373,374,375,377,378,379,381,
382,383,384,385,386,387,388,389,390,391,398,401,402,407,408,409,410,411,412,
413,414,422,423,428,429,430,431,507,508,517,522,524,526,527,528,529,530,534,
535,536,537,538,540,541,548,549,550,553,555,558,562,593,596,604,607,608,609,
612,620,621,622,626,627,631,633,637,639,648,649,654,663,664,668,670,672,675,
677,678,680,686,687,697,698,702,704,705,707,709,712,714,715,724,725,726,731,
738,740,741,749,751,752,759,763,764,765,769,773,776,777,781,788,791,794,797,
798,800,804,806,808,812,815,840,846,960,961,970,980,989,990,1001,1005,1017,
1020,1023,1025,1033,1036,1037,1040,1041,1042,1043,1047,1074,1079,1088,1091,
1109,1111,1115,1118,1119,1132,1135,1152,1154,1162,1164,1167,1184,1190,1194,
1323,1324,1343,1346,1349,1374,1376,1389,1390,1559],[1,2,3,4,5,8,9,10,11,12,13,
14,15,16,17,18,19,20,21,22,23,24,27,28,29,30,32,33,34,35,36,47,49,53,57,58,59,
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,
88,97,98,99,100,101,102,103,104,111,112,114,115,116,117,118,121,122,124,125,
126,127,128,133,134,135,136,137,138,140,143,144,145,146,147,152,153,155,160,
161,165,195,196,203,204,205,206,207,208,216,217,218,219,220,221,223,225,229,
230,232,233,235,238,240,243,244,247,248,249,251,253,259,260,264,265,266,267,
268,269,270,271,276,277,279,280,281,282,283,284,287,292,293,305,306,309,310,
314,317,318,319,320,321,333,334,335,336,337,338,341,343,344,345,346,347,348,
350,352,358,359,366,367,374,375,377,378,379,381,382,383,384,385,386,387,388,
389,390,391,396,397,401,402,407,408,409,410,411,412,413,414,423,428,430,431,
506,507,511,512,521,524,526,527,528,529,530,534,535,536,537,538,540,541,548,
549,550,551,552,555,559,562,591,593,596,601,602,603,604,605,606,608,610,611,
620,621,622,626,627,630,633,637,638,647,648,649,652,653,667,669,670,672,675,
677,678,679,687,697,699,702,703,704,705,707,708,712,713,714,715,724,725,726,
730,738,739,749,751,752,757,758,762,763,764,766,767,768,773,776,777,779,780,
786,787,791,794,796,799,801,805,807,808,811,812,816,840,845,960,961,968,969,
981,991,1001,1004,1017,1019,1023,1024,1025,1033,1035,1037,1039,1040,1041,1044,
1045,1046,1074,1077,1079,1087,1090,1108,1109,1110,1114,1117,1120,1132,1134,
1152,1153,1160,1161,1164,1167,1182,1183,1190,1194,1322,1323,1325,1341,1342,
1345,1350,1374,1375,1391,1392,1560],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,18,
19,20,21,22,23,24,27,28,29,30,31,32,33,34,35,36,47,53,57,58,59,60,61,62,63,64,
65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,97,
98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,119,120,122,123,
124,126,127,128,133,134,135,136,137,138,139,140,141,142,143,144,145,147,155,
156,160,162,165,196,203,204,205,206,207,208,216,217,218,219,220,221,222,223,
225,228,229,231,233,234,240,243,244,245,246,247,248,249,250,251,254,257,261,
262,263,264,265,266,268,272,273,276,277,278,279,280,281,282,283,284,285,286,
287,288,289,290,291,292,293,304,305,314,315,316,321,322,341,342,343,348,349,
351,353,372,373,374,375,376,377,378,379,380,381,382,383,386,387,388,389,390,
391,392,393,394,395,396,397,398,399,400,401,402,403,404,405,406,407,408,409,
411,412,413,414,420,422,423,428,429,432,433,507,508,517,522,524,525,526,528,
529,530,531,532,533,534,535,536,537,538,540,541,551,552,553,554,555,556,557,
558,559,560,561,563,564,565,596,607,608,609,612,628,629,631,632,634,635,636,
638,639,642,649,654,656,668,675,680,681,686,687,688,696,698,702,703,704,705,
706,708,709,710,715,727,728,731,736,740,741,750,759,764,765,767,768,769,770,
771,772,774,775,781,788,789,790,792,793,795,802,804,805,806,807,815,816,839,
846,962,965,970,980,988,992,1003,1005,1018,1020,1025,1032,1034,1035,1036,1048,
1049,1050,1062,1065,1074,1083,1084,1101,1110,1111,1113,1121,1122,1133,1135,
1151,1154,1162,1165,1166,1184,1191,1192,1326,1327,1344,1347,1351,1373,1376,
1393,1394,1561],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,
27,28,29,30,31,32,33,34,35,36,47,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,
72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,97,98,99,100,101,102,
103,104,105,106,107,108,109,110,111,112,113,123,124,125,126,127,128,133,134,
135,136,137,138,139,140,141,142,143,144,145,146,147,156,160,162,165,194,203,
204,205,206,207,208,216,217,218,219,220,221,222,223,225,228,229,230,231,243,
244,245,246,247,248,249,250,251,257,258,261,262,263,264,265,266,267,268,269,
276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,
295,304,305,306,335,336,337,374,375,376,377,378,379,380,381,382,383,384,385,
386,387,388,389,390,391,392,393,394,395,396,397,398,399,400,401,402,403,404,
405,406,407,408,409,410,411,412,413,414,420,428,429,432,433,523,524,525,526,
527,528,529,530,531,532,533,534,535,536,537,538,540,541,547,548,549,550,551,
552,553,554,555,556,557,558,559,560,561,562,563,564,565,573,617,619,622,627,
628,629,632,633,634,635,636,637,638,639,642,643,644,670,675,679,680,681,688,
695,696,702,703,704,705,706,707,708,709,710,711,712,727,728,729,736,737,749,
750,752,767,768,769,770,771,772,773,774,775,776,778,789,790,791,792,793,794,
795,796,797,798,799,800,801,802,832,838,839,959,960,962,964,965,996,1002,1003,
1016,1018,1031,1032,1034,1035,1036,1037,1038,1062,1063,1064,1065,1066,1074,
1076,1101,1102,1103,1112,1113,1114,1115,1128,1129,1131,1133,1150,1151,1157,
1165,1166,1167,1189,1191,1192,1193,1321,1327,1328,1338,1339,1340,1355,1372,
1373,1400,1401,1562],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,
24,27,28,29,30,32,33,34,35,36,47,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,
72,73,74,75,76,77,78,79,80,81,82,83,84,85,88,97,98,99,100,101,102,103,104,124,
125,126,127,128,133,134,135,136,137,138,139,140,143,144,145,146,147,152,153,
155,160,165,194,203,204,205,206,207,208,216,217,218,219,220,221,223,225,228,
229,230,235,238,240,243,244,247,248,249,250,251,258,267,268,269,270,271,272,
273,276,277,278,279,280,281,282,304,305,306,309,310,314,327,329,330,332,333,
334,335,336,337,374,375,377,378,379,381,382,383,384,385,386,387,388,389,390,
391,401,402,407,408,409,410,411,412,413,414,428,429,523,524,526,527,528,529,
530,534,535,536,537,538,540,541,547,548,549,550,554,555,562,573,617,619,622,
627,632,633,637,638,639,644,647,648,649,663,664,667,670,675,679,680,695,698,
699,705,706,707,711,712,729,737,749,750,752,773,776,778,786,787,788,791,794,
800,801,808,811,812,815,816,838,959,960,964,989,990,991,1002,1016,1019,1020,
1031,1032,1037,1039,1040,1041,1046,1047,1048,1066,1074,1117,1118,1119,1120,
1131,1150,1157,1167,1189,1193,1220,1345,1346,1349,1350,1358,1372,1383,1384,
1428,1563],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,27,28,
29,30,32,33,34,35,36,47,49,53,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,
74,75,76,77,78,79,80,81,82,83,84,85,88,97,98,99,100,101,102,103,104,111,112,
114,115,116,117,118,121,124,126,127,128,133,134,135,136,137,138,139,140,143,
144,145,146,147,152,153,155,160,165,195,196,203,205,206,207,208,216,217,218,
219,220,221,223,225,228,229,230,232,233,235,238,240,244,247,248,249,250,251,
253,264,265,267,268,270,271,272,273,276,277,278,279,280,281,282,283,284,287,
292,294,295,306,309,310,314,315,316,317,318,319,320,335,336,341,343,344,345,
346,347,350,352,358,359,366,367,375,377,378,379,381,382,383,386,387,388,389,
391,396,397,401,402,407,408,409,411,412,413,414,423,428,506,507,511,512,521,
524,526,529,530,534,535,536,537,538,540,541,551,552,559,591,593,601,602,603,
604,605,606,610,611,630,632,633,638,639,643,647,648,649,652,653,656,669,670,
675,679,687,695,698,699,702,703,708,713,714,730,739,757,758,762,763,766,767,
768,778,779,780,786,787,788,794,795,798,799,802,804,807,832,845,968,969,981,
988,992,996,1004,1016,1019,1020,1023,1024,1035,1038,1042,1045,1049,1062,1063,
1065,1074,1121,1122,1128,1129,1134,1153,1160,1161,1182,1183,1222,1340,1347,
1351,1355,1356,1375,1381,1382,1429,1564],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,
17,18,19,20,21,22,23,24,27,28,29,30,32,33,34,35,36,47,57,58,59,60,61,62,63,64,
65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,88,97,98,99,
100,101,102,103,104,124,125,126,127,128,133,134,135,136,137,138,139,140,143,
144,145,146,147,148,149,150,151,154,160,165,194,203,204,205,206,207,208,216,
217,218,219,220,221,223,225,228,229,230,236,237,239,241,242,243,244,247,248,
249,250,251,258,267,268,269,276,277,278,279,280,281,282,304,305,306,311,312,
313,315,316,323,324,325,326,328,331,335,336,337,374,375,377,378,379,381,382,
383,384,385,386,387,388,389,390,391,401,402,407,408,409,410,411,412,413,414,
428,429,523,524,526,527,528,529,530,534,535,536,537,538,540,541,547,548,549,
550,554,555,562,573,617,619,622,627,632,633,637,638,639,644,650,651,655,656,
661,662,665,666,670,675,676,679,680,695,705,706,707,711,712,729,737,749,750,
752,773,776,778,791,794,800,801,809,810,813,814,831,838,853,959,960,964,992,
1002,1016,1031,1032,1037,1051,1052,1053,1066,1070,1071,1074,1121,1125,1131,
1150,1157,1167,1169,1189,1193,1348,1364,1370,1372,1379,1565],[1,2,3,4,5,8,9,
10,11,12,13,14,15,16,17,18,19,20,21,23,24,27,28,29,30,31,32,33,34,35,36,47,57,
58,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,
86,87,88,89,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,123,
124,126,127,128,133,134,136,137,138,140,141,142,143,144,145,147,148,149,150,
151,152,154,155,156,160,162,203,205,206,207,208,216,217,218,219,220,221,222,
223,225,229,231,236,237,238,239,240,241,242,244,245,246,247,248,249,251,257,
261,262,263,264,265,276,277,279,280,283,284,286,287,288,289,290,291,292,310,
311,312,313,314,323,324,325,326,327,328,329,330,331,332,375,376,377,378,379,
380,381,382,383,386,387,388,391,392,393,394,395,396,397,399,400,401,402,403,
404,405,406,407,408,409,411,412,413,414,420,432,433,524,525,526,529,530,531,
532,533,534,535,536,537,538,540,541,551,552,556,557,559,560,561,563,564,565,
628,629,634,635,636,638,642,648,649,650,651,655,661,662,663,664,665,666,675,
676,681,688,696,702,703,708,710,727,728,736,767,768,770,771,772,774,775,789,
790,792,793,800,812,815,827,828,829,830,839,853,962,965,989,990,1003,1018,
1034,1035,1041,1047,1060,1061,1070,1071,1074,1123,1124,1133,1151,1165,1166,
1169,1191,1192,1349,1366,1367,1373,1379,1566],[1,2,3,4,5,8,9,10,11,12,13,14,
15,16,17,18,19,20,21,22,23,24,27,28,29,30,32,33,34,35,36,47,57,58,59,60,61,62,
63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,88,97,98,
99,100,101,102,103,104,124,125,126,127,128,133,134,135,136,137,138,139,140,
143,144,145,146,147,148,149,150,151,154,160,161,203,204,205,206,207,208,216,
217,218,219,220,221,223,225,228,229,230,236,237,239,241,242,243,244,247,248,
249,250,251,259,260,267,268,269,276,277,278,279,280,281,282,305,306,311,312,
313,315,316,323,324,325,326,328,331,335,336,337,338,374,375,377,378,379,381,
382,383,384,385,386,387,388,389,390,391,401,402,407,408,409,410,411,412,413,
414,430,431,524,526,527,528,529,530,534,535,536,537,538,540,541,548,549,550,
555,562,620,621,622,626,627,632,633,637,638,639,650,651,655,656,661,662,665,
666,670,672,675,676,677,678,697,705,707,712,724,725,726,738,749,751,752,773,
776,777,791,794,802,804,805,806,807,813,814,840,853,960,961,988,992,1001,1017,
1033,1037,1049,1050,1053,1065,1070,1071,1074,1125,1128,1132,1152,1164,1167,
1169,1190,1194,1351,1363,1370,1374,1379,1567],[1,2,3,4,5,8,9,10,11,12,13,14,
15,16,17,18,19,20,21,22,23,24,27,28,29,30,32,33,34,35,37,47,49,53,57,58,59,60,
61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,88,97,
98,99,100,101,102,103,104,111,112,114,115,116,117,118,121,124,126,127,128,133,
134,135,136,137,140,143,144,145,147,148,149,150,151,152,153,154,157,158,159,
160,165,195,196,203,205,206,207,208,216,217,218,219,220,221,223,225,229,232,
233,235,236,237,238,239,241,242,244,247,248,249,251,252,253,264,265,270,271,
276,277,280,283,284,287,292,296,297,298,299,307,309,310,311,312,313,317,318,
319,320,323,324,325,326,328,331,339,341,343,344,345,346,347,350,352,358,359,
366,367,375,377,378,379,381,382,383,386,387,388,389,391,396,397,401,402,407,
408,409,411,412,413,414,423,428,506,507,511,512,521,524,526,529,530,534,535,
536,537,538,540,541,551,552,559,591,593,601,602,603,604,605,606,610,611,630,
638,640,641,647,648,650,651,652,653,655,661,662,665,666,669,673,675,676,679,
687,699,702,703,708,713,714,730,739,757,758,762,763,766,767,768,779,780,786,
787,803,818,819,820,821,833,835,845,853,968,969,981,997,1004,1019,1023,1024,
1035,1056,1057,1067,1068,1070,1071,1074,1126,1127,1134,1153,1160,1161,1169,
1182,1183,1354,1368,1369,1375,1379,1568],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,
17,18,19,20,21,22,23,24,27,28,29,30,31,32,33,34,35,37,48,50,52,53,54,55,56,57,
58,59,60,62,63,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,82,83,84,85,86,87,
88,89,97,98,99,101,102,103,104,105,106,107,108,109,110,111,112,114,115,116,
117,118,121,123,124,126,128,133,134,135,136,137,140,141,142,143,144,145,147,
148,149,150,151,152,153,154,156,157,158,159,160,164,196,197,199,200,201,203,
205,208,216,217,218,219,220,222,223,225,229,231,233,235,236,237,238,239,241,
242,244,245,246,247,248,249,251,252,255,261,263,264,270,271,274,275,276,277,
280,282,283,284,286,287,288,289,290,291,292,296,297,298,299,304,306,307,309,
310,312,313,317,318,319,320,323,324,325,326,328,330,331,332,336,337,338,339,
341,343,344,345,346,347,350,352,354,355,356,357,358,359,360,361,362,363,364,
365,368,369,370,371,376,379,380,381,387,389,392,393,394,395,396,397,399,400,
401,403,404,405,406,408,414,420,424,425,507,509,510,512,513,514,515,516,518,
519,520,521,525,531,532,533,534,541,544,552,557,559,561,563,564,565,593,594,
595,603,606,610,611,613,616,628,630,633,634,635,636,640,641,642,644,647,648,
650,652,657,658,659,660,661,662,664,665,666,669,671,672,673,675,676,683,684,
701,716,717,718,720,721,722,732,735,742,753,754,755,757,760,761,762,766,768,
770,772,774,780,782,783,785,787,790,793,797,806,817,818,819,823,826,827,828,
834,836,841,843,853,965,969,982,989,997,1006,1021,1026,1029,1030,1043,1057,
1058,1059,1060,1069,1071,1072,1073,1075,1120,1124,1126,1130,1137,1156,1158,
1161,1163,1166,1169,1178,1180,1186,1187,1352,1361,1367,1368,1371,1377,1380,
1569],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,18,19,20,21,23,24,27,28,29,30,31,
32,33,34,35,36,37,48,49,50,52,54,55,56,57,58,60,62,63,65,66,68,69,70,71,72,73,
74,75,76,77,78,79,80,82,83,84,85,86,87,88,89,97,98,99,100,102,103,105,106,107,
108,109,110,111,112,114,115,116,117,118,121,123,124,127,128,133,134,136,137,
138,140,141,142,143,144,145,147,148,149,150,151,152,154,155,156,157,158,159,
160,163,195,197,199,200,201,203,205,208,216,217,218,219,220,222,223,225,229,
231,232,236,237,238,239,240,241,242,244,245,246,247,248,249,251,252,256,262,
263,265,270,271,274,275,277,279,280,282,283,284,286,287,288,289,290,291,292,
296,297,298,299,304,306,307,309,310,311,313,314,317,318,319,320,323,324,325,
326,327,328,329,331,336,337,338,339,341,344,345,346,347,350,352,354,355,356,
357,360,361,362,363,364,365,366,367,368,369,370,371,376,379,380,382,388,392,
393,394,395,396,397,399,400,401,403,404,405,406,407,413,420,426,427,506,509,
510,511,513,514,515,516,518,519,520,521,525,531,532,533,535,541,544,551,556,
559,561,563,564,565,589,591,597,602,605,610,611,613,615,629,630,633,634,635,
636,640,641,642,644,648,649,651,653,657,658,659,660,661,662,663,665,666,669,
671,672,673,675,676,682,685,700,716,717,719,720,722,723,733,734,743,754,755,
756,758,760,761,763,766,767,770,771,775,779,782,783,784,786,789,792,799,807,
820,821,822,824,825,829,830,834,836,842,844,853,965,968,984,990,997,1007,1022,
1027,1028,1030,1045,1054,1055,1056,1061,1069,1071,1072,1073,1075,1118,1123,
1127,1130,1136,1155,1159,1160,1163,1165,1169,1179,1181,1185,1188,1353,1360,
1366,1369,1371,1378,1380,1570],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,18,19,
20,21,23,24,27,28,29,30,32,33,34,36,47,57,58,60,61,62,63,65,66,67,68,69,70,71,
72,73,74,75,76,77,78,79,80,81,82,83,84,85,88,97,98,99,100,101,102,103,104,124,
126,127,128,133,134,137,138,139,143,144,145,147,152,155,160,166,203,205,206,
207,208,216,217,218,219,220,221,223,225,228,229,238,240,244,247,248,250,251,
277,278,279,281,282,310,314,315,316,327,329,330,332,375,377,378,379,381,382,
383,386,387,388,391,401,402,407,408,409,411,412,413,414,434,435,436,524,526,
529,530,534,535,536,537,538,540,541,632,639,648,649,656,663,664,675,745,746,
747,748,800,802,804,807,812,815,837,856,988,989,990,992,1041,1047,1049,1065,
1074,1148,1149,1168,1349,1351,1359,1571],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,
17,18,19,20,21,23,24,27,28,29,30,32,33,34,35,36,47,48,50,51,52,54,55,56,57,58,
60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,88,
97,98,99,100,101,102,103,104,105,106,107,108,109,110,114,115,116,117,118,121,
124,126,127,128,133,134,136,137,138,140,143,144,145,147,148,149,150,151,153,
154,155,160,166,197,198,199,200,201,202,203,205,206,207,208,216,217,218,219,
220,221,223,225,229,235,236,237,239,240,241,242,244,247,248,249,251,276,277,
279,280,288,289,290,291,309,311,312,313,314,317,318,319,320,333,334,344,345,
346,347,350,352,354,355,356,357,360,361,362,363,364,365,368,369,370,371,375,
377,378,379,381,382,383,386,387,388,391,392,393,394,395,399,400,401,402,407,
408,409,411,412,413,414,434,435,436,509,510,513,514,515,516,518,519,520,521,
524,526,529,530,533,534,535,536,537,538,540,541,544,545,556,557,560,561,589,
590,592,594,595,597,601,602,603,604,605,606,613,614,615,616,638,642,647,649,
650,651,655,657,658,659,660,667,669,675,676,745,746,747,748,801,808,811,816,
837,856,952,962,977,979,981,982,983,984,985,991,1039,1040,1046,1070,1072,1074,
1075,1148,1149,1168,1196,1198,1199,1200,1320,1350,1359,1426,1427,1572],[1,2,3,
4,5,8,9,10,11,12,13,14,15,16,17,18,19,20,21,23,24,25,26,27,28,29,30,32,33,36,
47,57,58,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,
84,85,88,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,124,126,127,128,
133,134,138,139,143,144,145,146,147,160,166,203,205,206,207,208,209,210,211,
212,213,214,215,216,217,218,219,220,221,223,224,225,226,227,229,230,244,247,
248,250,251,278,279,282,294,295,304,306,335,336,337,338,375,377,378,379,381,
382,383,386,387,388,391,401,402,407,408,409,411,412,413,414,434,435,436,524,
526,529,530,534,535,536,537,538,540,541,542,543,546,547,550,554,562,572,617,
618,619,620,621,633,639,643,644,670,671,672,675,745,746,747,748,795,798,799,
832,837,856,953,961,963,964,986,996,1038,1062,1063,1073,1074,1148,1149,1168,
1201,1202,1204,1206,1318,1355,1359,1424,1425,1573],[1,2,3,4,5,8,9,10,11,12,13,
14,15,16,17,18,19,20,21,23,24,27,28,29,30,32,33,34,35,36,47,57,58,60,61,62,63,
65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,88,97,98,99,
100,101,102,103,104,124,126,127,128,133,134,136,137,138,139,140,143,144,145,
146,147,148,149,150,151,153,154,155,160,203,205,206,207,208,216,217,218,219,
220,221,223,225,229,230,235,236,237,239,240,241,242,244,247,248,249,250,251,
276,277,278,279,280,294,295,309,311,312,313,314,323,324,325,326,328,331,333,
334,335,336,375,377,378,379,381,382,383,386,387,388,391,401,402,407,408,409,
411,412,413,414,524,526,529,530,534,535,536,537,538,540,541,638,639,643,647,
649,650,651,655,661,662,665,666,667,670,675,676,795,798,799,801,808,811,816,
832,853,991,996,1038,1039,1040,1046,1062,1063,1070,1071,1074,1169,1350,1355,
1379,1574],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,27,28,
29,30,32,33,34,35,36,47,53,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,
74,75,76,77,78,79,80,81,82,83,84,85,88,97,98,99,100,101,102,103,104,113,119,
120,122,124,126,127,128,133,134,135,136,137,138,139,140,143,144,145,147,148,
149,150,151,154,155,160,165,166,196,203,204,205,206,207,208,216,217,218,219,
220,221,223,225,229,233,234,236,237,239,240,241,242,243,244,247,248,249,250,
251,254,266,272,273,276,277,278,279,280,285,293,311,312,313,314,321,322,323,
324,325,326,328,331,341,342,343,348,349,351,353,372,373,374,375,377,378,379,
381,382,383,386,387,388,389,390,391,398,401,402,407,408,409,411,412,413,414,
422,423,428,429,434,435,436,507,508,517,522,524,526,528,529,530,534,535,536,
537,538,540,541,553,558,596,607,608,609,612,631,638,639,649,650,651,654,655,
661,662,665,666,668,675,676,680,686,687,698,704,709,715,731,740,741,745,746,
747,748,759,764,765,769,781,788,837,846,853,856,970,980,1005,1020,1025,1036,
1070,1071,1074,1135,1148,1149,1154,1162,1168,1169,1184,1236,1237,1359,1376,
1379,1452,1575],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,
27,28,29,30,32,33,34,35,36,47,49,53,57,58,59,60,61,62,63,65,66,67,68,69,70,71,
72,73,74,75,76,77,78,79,80,81,82,83,84,85,88,97,98,99,100,101,102,103,104,111,
112,114,115,116,117,118,121,124,126,127,128,133,134,135,136,137,138,139,140,
143,144,145,147,152,153,160,165,166,195,196,203,205,206,207,208,216,217,218,
219,220,221,223,225,229,232,233,235,238,244,247,248,249,250,251,253,264,265,
270,271,276,277,278,279,280,283,284,287,292,309,310,315,316,317,318,319,320,
341,343,344,345,346,347,350,352,358,359,366,367,375,377,378,379,381,382,383,
386,387,388,389,391,396,397,401,402,407,408,409,411,412,413,414,423,428,434,
435,436,506,507,511,512,521,524,526,529,530,534,535,536,537,538,540,541,551,
552,559,591,593,601,602,603,604,605,606,610,611,630,638,639,647,648,652,653,
656,669,675,679,687,699,702,703,708,713,714,730,739,745,746,747,748,757,758,
762,763,766,767,768,779,780,786,787,809,810,831,837,845,856,968,969,981,992,
1004,1019,1023,1024,1035,1051,1052,1074,1134,1148,1149,1153,1160,1161,1168,
1176,1177,1182,1183,1195,1197,1348,1359,1375,1411,1412,1576],[1,2,3,4,5,8,9,
10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,27,28,29,30,32,33,37,47,57,58,59,
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,
88,97,98,99,100,101,102,103,104,124,125,126,127,128,133,134,135,143,144,145,
146,147,157,158,159,160,165,166,194,203,204,205,206,207,208,216,217,218,219,
220,221,223,225,228,229,230,243,244,247,248,251,252,258,267,268,269,281,282,
296,297,298,299,304,305,306,307,335,336,337,339,374,375,377,378,379,381,382,
383,384,385,386,387,388,389,390,391,401,402,407,408,409,410,411,412,413,414,
428,429,434,435,436,523,524,526,527,528,529,530,534,535,536,537,538,540,541,
547,548,549,550,554,555,562,573,617,619,622,627,632,633,637,640,641,644,670,
673,675,679,680,695,705,706,707,711,712,729,737,745,746,747,748,749,750,752,
773,776,778,791,794,803,833,835,837,838,856,959,960,964,997,1002,1016,1031,
1032,1037,1067,1068,1074,1131,1148,1149,1150,1157,1167,1168,1174,1175,1189,
1193,1203,1205,1354,1359,1372,1413,1414,1577],[1,2,3,4,5,8,9,10,11,12,13,14,
15,16,17,18,19,20,21,22,23,24,27,28,29,30,31,32,33,34,35,47,57,58,59,60,61,62,
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,
89,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,123,124,125,
126,127,128,133,134,135,136,137,140,141,142,143,144,145,146,147,156,160,161,
162,166,203,204,205,206,207,208,216,217,218,219,220,221,222,223,225,229,230,
231,243,244,245,246,247,248,249,251,257,259,260,261,262,263,264,265,267,268,
269,276,277,280,281,282,283,284,286,287,288,289,290,291,292,305,306,335,336,
337,338,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,
391,392,393,394,395,396,397,399,400,401,402,403,404,405,406,407,408,409,410,
411,412,413,414,420,430,431,432,433,434,435,436,437,438,439,440,524,525,526,
527,528,529,530,531,532,533,534,535,536,537,538,540,541,548,549,550,551,552,
555,556,557,559,560,561,562,563,564,565,620,621,622,626,627,628,629,633,634,
635,636,637,638,642,670,672,675,677,678,681,688,696,697,702,703,705,707,708,
710,712,724,725,726,727,728,736,738,745,746,747,748,749,751,752,767,768,770,
771,772,773,774,775,776,777,789,790,791,792,793,794,837,839,840,847,848,849,
850,851,852,854,855,856,857,960,961,962,965,1001,1003,1017,1018,1033,1034,
1035,1037,1074,1132,1133,1148,1149,1151,1152,1164,1165,1166,1167,1168,1170,
1171,1172,1173,1190,1191,1192,1194,1228,1229,1230,1231,1232,1233,1234,1235,
1359,1373,1374,1420,1421,1422,1423,1451,1578],[1,2,3,4,5,8,9,10,11,12,13,14,
15,16,17,18,19,20,21,22,23,24,27,28,29,30,32,33,34,35,36,47,49,53,57,58,59,60,
61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,88,
97,98,99,100,101,102,103,104,111,112,113,114,115,116,117,118,119,120,121,122,
124,125,126,127,128,133,134,135,136,137,138,139,140,143,144,145,146,147,152,
153,155,160,165,194,195,196,203,204,205,206,207,208,216,217,218,219,220,221,
223,225,228,229,230,232,233,234,235,238,240,243,244,247,248,249,250,251,253,
254,258,264,265,266,267,268,269,270,271,272,273,276,277,278,279,280,281,282,
283,284,285,287,292,293,304,305,306,309,310,314,317,318,319,320,321,322,335,
336,337,341,342,343,344,345,346,347,348,349,350,351,352,353,358,359,366,367,
372,373,374,375,377,378,379,381,382,383,384,385,386,387,388,389,390,391,396,
397,398,401,402,407,408,409,410,411,412,413,414,422,423,428,429,506,507,508,
511,512,517,521,522,523,524,526,527,528,529,530,534,535,536,537,538,540,541,
547,548,549,550,551,552,553,554,555,558,559,562,573,591,593,596,601,602,603,
604,605,606,607,608,609,610,611,612,617,619,622,627,630,631,632,633,637,638,
639,644,647,648,649,652,653,654,668,669,670,675,679,680,686,687,695,698,699,
702,703,704,705,706,707,708,709,711,712,713,714,715,729,730,731,737,739,740,
741,744,749,750,752,757,758,759,762,763,764,765,766,767,768,769,773,776,778,
779,780,781,786,787,788,791,794,796,797,798,799,800,801,804,805,806,807,815,
816,838,845,846,959,960,964,968,969,970,980,981,1002,1004,1005,1016,1019,1020,
1023,1024,1025,1031,1032,1035,1036,1037,1042,1043,1044,1045,1046,1047,1048,
1049,1050,1063,1064,1066,1074,1083,1084,1085,1086,1087,1088,1089,1090,1091,
1092,1102,1103,1110,1111,1114,1115,1116,1131,1134,1135,1150,1153,1154,1157,
1160,1161,1162,1167,1182,1183,1184,1189,1193,1220,1221,1222,1312,1324,1325,
1326,1328,1356,1357,1358,1372,1375,1376,1403,1404,1405,1406,1437,1438,1579],[
1,2,3,4,5,8,9,10,11,12,13,14,16,17,18,19,20,21,23,24,27,29,30,32,33,34,35,36,
49,50,51,52,54,55,56,57,58,60,61,62,63,65,66,67,68,69,70,72,74,76,80,81,82,83,
97,100,102,103,105,107,109,110,111,112,114,115,116,117,118,121,123,124,126,
127,128,133,135,136,137,138,139,140,142,143,144,145,146,147,149,151,152,153,
154,155,156,160,162,164,166,195,198,199,200,201,202,203,206,207,208,216,229,
230,231,232,235,236,238,239,240,243,245,247,249,250,251,255,257,260,261,262,
263,264,265,267,269,270,271,274,275,276,279,280,282,283,286,287,288,289,290,
291,292,294,295,305,306,309,311,312,313,314,315,316,318,319,320,321,322,336,
341,344,345,346,347,350,352,361,364,366,367,368,370,376,379,381,382,383,388,
392,393,395,396,397,401,407,411,413,424,425,432,433,434,435,436,506,511,514,
516,521,526,535,545,557,559,560,563,589,590,591,592,594,595,597,601,605,610,
614,616,628,629,630,633,635,637,642,643,647,649,650,655,656,657,658,668,691,
692,693,694,696,697,701,703,710,713,718,721,722,723,727,728,732,735,736,742,
746,747,753,755,756,758,760,762,763,766,767,772,774,775,777,779,784,785,786,
790,791,793,799,807,808,809,810,837,839,841,843,849,850,955,977,985,995,1013,
1015,1017,1024,1027,1040,1045,1052,1117,1125,1141,1146,1148,1151,1156,1159,
1160,1176,1180,1186,1191,1195,1198,1199,1209,1210,1213,1216,1225,1228,1234,
1335,1342,1385,1411,1416,1422,1426,1580],[1,2,3,4,5,8,9,10,11,12,13,14,16,17,
18,19,20,21,22,23,24,27,28,30,32,33,34,35,36,50,51,52,53,54,55,56,57,58,59,60,
61,62,63,65,66,67,68,69,70,71,73,78,80,81,82,83,98,101,102,103,104,106,108,
109,110,111,112,114,115,116,117,118,121,123,124,126,127,128,133,135,136,137,
138,139,140,141,143,144,145,146,147,148,150,152,153,154,156,160,162,163,166,
196,198,199,200,201,202,203,206,207,208,217,229,230,231,233,235,237,238,239,
243,246,247,249,250,251,256,257,260,261,262,263,264,265,267,269,270,271,274,
275,276,277,280,282,284,286,287,288,289,290,291,292,294,295,305,306,309,310,
311,312,313,315,316,317,319,320,321,322,336,341,343,344,345,346,347,350,352,
358,359,360,363,369,371,376,379,381,382,383,387,389,392,393,394,396,397,401,
408,411,414,426,427,432,433,434,435,436,507,510,512,515,521,526,534,545,556,
559,560,564,589,590,592,593,594,595,597,604,606,611,614,615,628,629,630,633,
634,637,642,643,647,648,651,655,656,657,659,668,691,692,693,694,696,697,700,
702,710,714,719,720,721,723,727,728,733,734,736,743,746,747,753,754,756,757,
761,762,763,766,768,771,774,775,777,780,784,785,787,789,791,792,796,805,809,
810,811,837,839,842,844,849,850,956,977,983,995,1014,1015,1017,1023,1026,1039,
1044,1052,1120,1125,1140,1145,1148,1151,1155,1158,1161,1177,1181,1185,1192,
1196,1197,1200,1208,1211,1213,1217,1226,1228,1234,1334,1341,1385,1412,1417,
1422,1427,1581],[1,2,3,4,5,8,9,10,11,12,13,14,15,22,23,24,25,26,27,28,29,30,
32,33,34,35,37,47,59,61,63,64,69,80,81,82,83,84,85,88,90,91,92,93,94,95,96,97,
98,99,100,101,102,103,104,124,125,126,127,128,133,134,135,136,137,140,141,142,
143,144,145,146,147,157,158,159,160,161,165,166,204,206,221,223,224,225,226,
227,228,229,230,243,244,245,246,249,251,252,258,259,260,261,262,263,267,268,
269,276,277,280,281,282,286,300,301,302,303,304,305,306,307,335,336,337,338,
339,374,375,377,378,379,384,385,386,389,390,401,402,407,408,409,410,411,412,
413,414,428,429,430,431,434,435,436,524,527,528,530,537,538,546,548,549,554,
555,562,572,617,618,619,620,621,622,626,627,632,636,637,638,644,645,646,670,
671,672,673,689,690,695,696,697,705,706,707,711,724,725,726,729,737,738,745,
748,749,750,751,752,773,776,777,778,791,792,793,794,796,797,832,833,835,837,
838,840,847,848,958,963,986,998,1011,1012,1018,1032,1033,1038,1064,1068,1128,
1130,1138,1139,1149,1150,1152,1164,1167,1175,1189,1190,1193,1203,1204,1206,
1207,1214,1219,1224,1228,1235,1337,1339,1388,1414,1419,1423,1424,1582],[1,2,3,
4,5,8,9,10,11,12,13,14,15,25,26,27,28,29,30,32,33,34,35,36,37,47,80,81,82,83,
84,85,88,90,91,92,93,94,95,96,97,98,99,100,101,102,124,125,126,127,128,136,
137,138,139,140,141,142,143,144,145,146,147,157,158,159,160,161,166,194,221,
223,224,225,226,227,228,229,230,245,246,249,250,251,252,259,260,261,262,263,
267,268,269,276,277,278,279,280,286,300,301,302,303,304,305,306,307,335,336,
337,338,339,374,375,377,378,379,409,410,411,412,413,414,430,431,434,435,436,
523,524,538,546,572,573,617,618,619,620,621,622,626,627,636,638,639,645,646,
670,671,672,673,689,690,696,697,711,712,724,725,726,738,745,748,749,750,751,
752,777,778,792,793,795,800,801,833,835,837,840,847,848,954,986,998,1012,1018,
1031,1062,1066,1068,1129,1130,1147,1149,1152,1157,1174,1194,1201,1202,1205,
1214,1215,1223,1228,1235,1333,1338,1388,1413,1415,1423,1425,1583],[1,2,3,4,5,
8,9,10,11,12,13,14,15,25,26,27,28,29,30,31,32,33,37,47,80,81,82,83,84,85,86,
87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,123,124,125,126,127,128,
129,130,131,132,143,144,145,146,147,156,157,158,159,160,161,162,166,194,221,
222,223,224,225,226,227,228,229,230,231,251,252,257,259,260,267,268,269,304,
305,306,307,308,335,336,337,338,339,340,374,375,376,377,378,379,380,409,410,
411,412,413,414,415,416,417,418,419,420,421,430,431,432,433,434,435,436,437,
438,439,440,523,524,525,538,539,546,572,573,617,618,619,620,621,622,623,624,
625,626,627,670,671,672,673,674,681,688,689,690,697,711,712,724,725,726,736,
738,745,748,749,750,751,752,777,778,832,833,834,835,836,837,840,849,850,851,
852,854,855,857,954,986,987,1003,1012,1031,1038,1068,1069,1076,1104,1105,1106,
1107,1112,1147,1149,1152,1157,1170,1173,1174,1194,1204,1205,1206,1214,1219,
1224,1229,1230,1233,1234,1321,1333,1410,1413,1419,1421,1424,1433,1442,1446,
1447,1584],[1,2,3,4,5,8,9,10,11,12,13,14,15,22,23,24,25,26,27,28,29,30,31,32,
33,36,37,47,59,61,63,64,69,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,
97,98,99,100,101,102,103,104,113,123,124,125,126,127,128,129,130,131,132,133,
134,135,138,139,143,144,145,146,147,156,157,158,159,160,161,162,165,166,204,
206,221,222,223,224,225,226,227,228,229,230,231,243,244,250,251,252,257,258,
259,260,266,267,268,269,278,279,281,282,285,293,304,305,306,307,308,335,336,
337,338,339,340,374,375,376,377,378,379,380,384,385,386,389,390,398,401,402,
407,408,409,410,411,412,413,414,415,416,417,418,419,420,421,428,429,430,431,
432,433,434,435,436,437,438,439,440,524,525,527,528,530,537,538,539,546,548,
549,553,554,555,558,562,572,617,618,619,620,621,622,623,624,625,626,627,632,
637,639,644,671,672,673,674,681,688,689,690,695,697,704,705,706,707,709,711,
724,725,726,729,736,737,738,745,748,749,750,751,752,769,773,776,777,778,791,
794,795,802,833,834,835,836,837,838,840,849,850,851,852,854,855,857,958,963,
986,987,1003,1011,1012,1032,1033,1036,1062,1065,1068,1069,1101,1104,1105,1106,
1107,1113,1138,1139,1149,1150,1152,1164,1167,1170,1173,1175,1189,1190,1193,
1201,1202,1203,1207,1214,1215,1223,1229,1230,1233,1234,1327,1337,1410,1414,
1415,1421,1425,1434,1439,1445,1450,1585],[1,2,3,4,5,8,9,10,11,12,13,14,16,17,
18,19,20,21,22,23,24,27,28,30,32,33,34,35,36,50,51,52,53,54,55,56,57,58,59,60,
61,62,63,64,65,66,67,68,69,70,71,73,78,80,81,82,83,98,101,102,103,104,106,108,
109,110,111,112,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,
133,135,136,137,138,139,140,141,143,144,145,146,148,150,152,153,154,155,156,
160,161,162,163,166,196,198,199,200,201,202,203,204,206,207,208,217,229,230,
231,233,235,237,238,239,240,246,247,249,250,256,257,259,261,262,263,264,265,
266,270,271,274,275,277,279,280,284,286,287,288,289,290,291,292,293,294,295,
310,311,312,313,314,315,316,317,319,320,321,341,343,344,345,346,347,348,349,
350,351,352,353,358,359,360,363,369,371,376,379,381,382,383,384,385,387,389,
392,393,394,396,397,401,408,410,411,414,426,427,430,431,432,433,434,435,436,
437,438,439,440,507,510,512,515,521,522,526,527,534,545,556,559,560,564,589,
590,592,593,594,595,596,597,598,599,600,604,606,608,611,614,615,628,629,630,
634,642,643,648,649,651,655,656,657,659,677,678,691,692,693,694,696,700,702,
704,710,714,715,719,720,721,723,727,728,733,734,736,738,743,746,747,753,754,
756,757,761,762,763,764,766,768,771,774,775,780,784,785,787,789,792,808,809,
810,812,813,814,837,839,842,844,847,848,851,852,854,855,857,956,977,978,983,
1001,1014,1015,1023,1025,1026,1040,1041,1052,1053,1078,1079,1080,1081,1082,
1109,1140,1145,1148,1151,1155,1158,1161,1171,1172,1177,1181,1185,1192,1197,
1198,1199,1208,1211,1213,1216,1225,1231,1232,1233,1235,1323,1334,1407,1412,
1416,1420,1426,1436,1441,1444,1448,1586],[1,2,3,4,5,8,9,10,11,12,13,14,16,17,
18,19,20,21,22,23,24,27,29,30,32,33,34,35,36,49,50,51,52,54,55,56,57,58,59,60,
61,62,63,64,65,66,67,68,69,70,72,74,76,80,81,82,83,97,100,102,103,105,107,109,
110,111,112,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,133,
136,137,138,139,140,142,143,144,145,146,149,151,152,153,154,156,160,161,162,
164,166,195,198,199,200,201,202,203,204,206,207,208,216,229,230,231,232,235,
236,238,239,245,247,249,250,255,257,259,261,262,263,264,265,270,271,274,275,
276,280,283,286,287,288,289,290,291,292,294,295,309,311,312,313,315,316,318,
319,320,341,344,345,346,347,348,349,350,351,352,353,361,364,366,367,368,370,
376,379,381,382,383,384,385,388,392,393,395,396,397,401,407,410,411,413,424,
425,430,431,432,433,434,435,436,437,438,439,440,506,511,514,516,521,522,526,
527,535,545,557,559,560,563,589,590,591,592,594,595,597,598,599,600,601,605,
610,614,616,628,629,630,635,642,643,647,650,655,656,657,658,677,678,691,692,
693,694,696,701,703,710,713,718,721,722,723,727,728,732,735,736,738,742,746,
747,753,755,756,758,760,762,763,766,767,772,774,775,779,784,785,786,790,793,
809,810,811,813,814,837,839,841,843,847,848,851,852,854,855,857,955,977,978,
985,1001,1013,1015,1024,1027,1039,1052,1053,1077,1078,1080,1081,1082,1108,
1141,1146,1148,1151,1156,1159,1160,1171,1172,1176,1180,1186,1191,1195,1196,
1200,1209,1210,1213,1217,1226,1231,1232,1233,1235,1322,1335,1407,1411,1417,
1420,1427,1435,1440,1443,1449,1587],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,18,
19,20,21,22,23,24,27,32,33,34,35,36,47,57,58,59,60,61,62,63,64,65,66,67,68,69,
70,80,81,82,83,84,85,88,100,101,102,103,104,105,106,107,108,109,110,111,112,
113,114,115,116,117,118,119,120,121,122,124,133,134,135,136,137,138,139,140,
141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,163,164,165,194,
203,204,205,206,207,208,221,223,228,229,230,235,236,237,238,239,240,241,242,
243,244,245,246,249,250,255,256,258,261,262,263,264,265,266,269,270,271,272,
273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,
292,293,294,295,309,310,311,312,313,314,315,316,317,318,319,320,321,322,335,
336,337,344,345,346,347,348,349,350,351,352,353,374,375,377,378,379,386,387,
388,389,390,391,392,393,394,395,396,397,398,399,400,409,424,425,426,427,428,
429,521,522,523,524,528,529,533,540,547,548,551,552,553,556,557,558,559,560,
561,573,601,602,603,604,605,606,607,608,609,617,632,636,638,639,642,643,647,
648,649,650,651,655,656,668,669,670,676,679,680,691,692,693,694,696,698,699,
700,701,702,703,704,708,709,711,712,716,717,718,719,720,721,722,723,732,733,
734,735,737,742,743,749,753,754,755,756,760,761,767,768,769,782,783,784,785,
786,787,788,792,793,795,796,797,798,799,800,801,802,804,805,806,807,815,816,
841,842,843,844,959,962,980,981,992,996,1002,1008,1018,1019,1020,1031,1035,
1036,1046,1047,1048,1049,1050,1062,1063,1064,1065,1066,1070,1089,1090,1091,
1092,1102,1103,1114,1115,1121,1122,1128,1129,1136,1137,1142,1143,1145,1146,
1178,1179,1185,1186,1208,1209,1220,1328,1329,1332,1338,1344,1347,1358,1364,
1365,1381,1394,1400,1403,1429,1430,1588],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,
17,18,19,20,21,22,23,24,27,28,29,30,32,33,34,35,36,47,49,53,57,58,59,60,61,62,
63,65,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,88,97,98,99,100,101,102,
103,104,112,113,115,116,119,120,121,122,124,125,126,127,128,133,134,135,136,
137,138,139,143,144,145,146,147,152,153,155,160,161,165,195,196,203,205,206,
216,217,218,219,220,221,223,225,228,229,230,232,233,235,238,240,243,244,247,
248,250,251,253,258,259,260,264,266,267,268,269,272,273,276,277,278,279,281,
282,284,285,292,293,304,305,306,309,310,314,317,320,321,322,327,329,333,334,
335,336,337,338,341,343,345,346,348,349,366,367,372,373,374,375,377,381,382,
383,386,387,388,389,391,397,398,407,408,409,410,411,412,413,414,423,428,429,
430,431,506,507,511,517,526,529,537,538,541,547,548,549,550,551,553,554,562,
591,596,601,602,607,608,611,612,617,619,620,621,622,632,633,637,639,644,647,
648,649,653,654,663,667,670,671,672,675,679,687,689,690,695,697,698,703,704,
705,706,707,711,712,713,715,724,725,726,729,737,738,739,749,750,751,752,762,
764,773,776,777,778,788,791,794,796,797,798,799,800,801,804,805,806,807,808,
812,815,816,838,840,961,964,968,970,990,991,1004,1010,1016,1017,1020,1024,
1025,1037,1040,1041,1042,1043,1044,1045,1046,1047,1049,1063,1073,1083,1086,
1087,1089,1090,1102,1110,1114,1117,1118,1119,1120,1131,1132,1138,1139,1147,
1189,1190,1193,1194,1207,1214,1222,1325,1330,1331,1342,1343,1346,1356,1360,
1362,1383,1389,1392,1405,1428,1432,1589],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,
17,18,19,20,21,22,23,24,27,28,29,30,32,33,34,35,36,47,53,57,58,59,60,61,62,63,
64,65,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,88,97,98,99,100,101,102,
103,104,111,113,114,117,118,119,120,122,124,125,126,127,128,133,134,135,136,
137,138,140,143,144,145,146,147,152,153,155,160,161,165,196,203,204,205,206,
216,217,218,219,220,221,223,225,228,229,230,233,234,235,238,240,243,244,247,
248,249,251,254,258,259,260,265,266,267,268,269,270,271,276,277,279,280,281,
282,283,285,287,293,304,305,306,309,310,314,318,319,321,322,330,332,333,334,
335,336,337,338,341,342,343,344,347,348,349,358,359,372,373,374,375,377,381,
382,383,386,387,388,389,390,391,396,398,407,408,409,410,411,412,413,414,422,
423,428,429,430,431,507,508,512,517,526,528,529,537,538,541,547,548,549,550,
552,553,554,562,593,596,603,604,607,608,610,612,617,619,620,621,622,632,633,
637,638,644,647,648,649,652,654,664,667,670,671,672,675,680,686,687,689,690,
695,697,699,702,704,705,706,707,711,712,714,715,724,725,726,729,737,738,740,
741,749,750,751,752,763,764,773,776,777,778,786,787,791,794,796,797,798,800,
801,804,805,806,811,812,815,816,838,840,961,964,969,970,989,991,1005,1010,
1016,1017,1019,1023,1025,1037,1039,1041,1042,1043,1044,1046,1047,1050,1064,
1073,1084,1085,1088,1091,1092,1103,1111,1115,1117,1118,1119,1120,1131,1132,
1138,1139,1147,1189,1190,1193,1194,1207,1214,1221,1324,1331,1341,1343,1345,
1357,1361,1362,1384,1390,1391,1404,1428,1432,1590],[1,2,3,4,5,8,9,10,11,12,13,
14,15,16,17,18,19,20,21,22,23,24,27,32,33,34,35,36,47,53,57,58,59,60,61,62,63,
64,65,66,67,68,69,70,80,81,82,83,84,85,88,100,101,102,103,104,105,106,107,108,
109,110,111,112,113,114,115,116,117,118,119,120,121,122,124,125,126,127,128,
133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,
152,153,154,160,163,164,165,196,203,204,205,206,207,208,221,223,228,229,230,
233,234,235,236,237,238,239,241,242,243,244,245,246,249,250,251,254,255,256,
261,262,263,264,265,266,267,268,270,271,274,275,276,277,278,279,280,281,282,
283,284,285,286,287,288,289,290,291,292,293,294,295,304,305,306,309,310,311,
312,313,317,318,319,320,321,322,335,336,341,342,343,344,345,346,347,348,349,
350,351,352,353,374,375,377,378,379,384,385,386,387,388,389,390,391,392,393,
394,395,396,397,398,399,400,409,410,411,412,422,423,424,425,426,427,428,429,
507,508,521,522,524,527,528,529,533,540,549,550,551,552,553,554,555,556,557,
558,559,560,561,601,602,603,604,605,606,607,608,609,622,632,633,636,637,638,
639,642,643,647,648,650,651,655,668,669,670,676,680,686,687,691,692,693,694,
695,696,699,700,701,702,703,704,705,706,708,709,716,717,718,719,720,721,722,
723,732,733,734,735,740,741,742,743,750,753,754,755,756,760,761,767,768,769,
778,782,783,784,785,786,787,792,793,794,796,797,798,799,802,804,805,806,807,
815,816,832,841,842,843,844,960,962,980,981,988,996,1005,1008,1016,1018,1019,
1032,1035,1036,1038,1043,1044,1048,1049,1050,1063,1064,1065,1070,1083,1084,
1085,1086,1087,1088,1110,1111,1121,1122,1128,1129,1136,1137,1142,1143,1145,
1146,1178,1179,1185,1186,1208,1209,1221,1326,1332,1339,1340,1344,1357,1363,
1365,1382,1393,1401,1406,1429,1430,1591],[1,2,5,6,7,8,27,33,41,42,43,47,88,
124,143,167,169,172,180,187,189,194,335,409,441,465,466,471,501,573,858,864,
871,915,921,1238,1251,1297,1453,1592],[1,3,5,6,7,14,16,18,25,29,31,34,37,41,
42,44,74,86,92,108,112,129,131,141,159,167,170,171,173,176,178,181,188,190,
209,296,300,406,416,441,460,462,467,468,470,478,502,567,859,865,866,874,917,
925,1239,1252,1253,1291,1454,1593],[1,2,5,6,7,8,25,26,27,31,33,37,41,42,43,44,
88,89,90,123,124,131,132,156,157,167,169,170,171,172,173,174,180,181,187,188,
189,190,224,339,340,420,421,441,465,466,467,468,469,470,490,491,501,502,625,
858,859,869,870,872,873,919,920,927,928,1238,1239,1256,1257,1298,1299,1455,
1594],[1,2,5,6,7,8,27,33,41,43,44,47,88,124,143,167,169,172,180,194,335,409,
442,466,471,491,573,858,864,871,1251,1275,1453,1595],[1,3,5,6,7,14,16,18,25,
29,34,39,44,45,49,74,92,112,116,152,167,170,171,173,176,178,181,209,330,367,
443,455,478,485,576,859,865,866,874,1246,1276,1454,1596],[1,3,5,6,7,14,16,18,
25,29,34,39,44,45,48,74,92,108,116,148,167,170,171,173,176,178,181,209,325,
355,443,452,478,486,575,859,865,866,874,1244,1277,1454,1597],[1,2,3,4,6,7,8,9,
10,11,12,32,39,40,43,45,47,80,81,82,100,101,147,167,169,172,180,182,183,184,
191,194,221,228,374,375,443,446,447,471,481,492,503,523,858,864,871,878,885,
886,931,1240,1241,1267,1302,1453,1598],[1,2,5,8,27,33,37,38,47,88,124,143,157,
166,168,194,335,339,409,434,444,573,745,835,1205,1243,1457,1599],[1,2,3,4,7,
12,16,18,21,23,34,35,39,40,43,46,65,66,116,117,118,121,140,176,178,184,192,
352,445,452,454,455,457,474,477,863,901,903,1459,1600],[1,2,4,7,11,17,22,24,
36,40,43,46,64,67,120,122,139,175,177,183,192,353,445,451,456,458,475,476,863,
902,906,1458,1601],[1,2,5,7,25,26,27,31,37,42,43,46,89,90,131,132,157,170,179,
187,192,421,445,463,464,467,489,490,863,916,919,1460,1602],[1,2,7,8,43,46,47,
169,180,192,194,445,471,863,871,944,1307,1462,1603],[1,2,3,7,9,18,43,45,46,49,
57,176,182,192,195,445,472,485,863,881,945,1308,1463,1604],[1,2,7,33,43,46,
161,162,166,189,192,440,445,494,496,863,932,933,1605],[1,5,6,7,25,31,37,38,41,
42,131,167,168,173,179,441,464,470,862,948,950,1606],[1,5,6,7,26,31,37,38,41,
42,132,167,168,174,179,441,463,469,862,949,950,1607],[1,5,6,7,25,31,37,38,41,
42,44,131,167,168,170,171,173,181,188,190,193,441,442,444,467,468,470,502,505,
859,860,948,951,1239,1309,1465,1608],[1,2,3,4,5,7,8,9,10,12,13,14,15,16,17,18,
19,20,21,25,26,27,28,29,30,32,34,39,49,57,58,60,62,65,71,72,73,74,75,76,77,78,
79,80,83,84,85,88,90,91,92,93,94,95,96,97,98,99,100,103,112,115,116,133,137,
152,169,171,177,178,195,203,205,209,210,211,212,213,214,215,216,217,218,219,
220,223,224,225,226,227,232,238,277,284,310,317,330,332,341,346,366,367,388,
397,446,455,506,511,541,542,543,546,551,576,586,602,611,648,653,664,866,867,
868,870,953,968,971,989,993,1246,1249,1314,1466,1609],[1,2,3,4,5,7,8,9,10,12,
13,14,15,16,17,18,19,20,21,22,25,26,27,28,29,30,32,35,36,40,53,57,58,59,60,62,
65,71,72,73,74,75,76,77,78,79,80,83,84,85,88,90,91,92,93,94,95,96,97,98,99,
101,103,104,111,113,114,117,119,120,133,135,136,138,153,155,169,171,177,178,
196,203,205,209,210,211,212,213,214,215,216,217,218,219,220,223,224,225,226,
227,233,235,240,276,279,283,285,309,314,318,322,327,329,333,334,341,343,344,
349,358,359,372,373,387,389,396,398,447,454,458,507,512,517,541,542,543,546,
552,553,583,587,588,603,607,610,612,647,649,652,654,663,667,866,867,868,870,
953,969,970,976,990,991,994,1247,1248,1250,1315,1466,1610],[1,2,3,4,5,7,8,9,
10,12,13,14,15,16,17,18,19,20,21,25,26,27,28,29,30,31,33,34,35,37,42,57,58,60,
62,65,71,72,73,74,75,76,77,78,79,80,83,84,85,86,87,88,89,90,91,92,93,94,95,96,
97,98,99,102,105,106,107,108,111,112,123,124,129,130,131,132,136,137,141,142,
144,156,157,158,159,169,171,177,178,203,205,209,210,211,212,213,214,215,216,
217,218,219,220,222,223,224,225,226,227,231,245,246,252,280,286,287,288,289,
292,296,297,298,299,300,301,302,303,307,308,339,340,376,379,380,394,395,396,
397,403,404,405,406,415,416,417,418,419,420,421,459,460,465,468,525,531,532,
539,541,542,543,546,559,561,563,564,566,567,568,569,570,571,623,624,625,634,
635,636,640,641,645,646,673,674,866,867,868,870,953,965,966,967,987,997,998,
999,1000,1253,1254,1255,1257,1317,1466,1611],[1,2,3,4,5,7,8,9,10,11,12,13,14,
15,16,17,18,19,20,21,23,24,25,26,27,28,29,30,32,33,43,47,57,58,60,61,62,63,65,
66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,88,90,91,92,93,94,
95,96,97,98,99,100,101,102,103,104,124,126,127,128,133,134,143,144,145,147,
160,169,171,177,178,203,205,206,207,208,209,210,211,212,213,214,215,216,217,
218,219,220,221,223,224,225,226,227,229,244,247,248,251,282,304,306,336,337,
338,375,377,378,379,381,382,383,386,387,388,391,401,402,407,408,409,411,412,
413,414,471,475,477,524,526,529,530,534,535,536,537,538,540,541,542,543,546,
547,550,554,562,572,617,618,619,620,621,633,644,671,672,675,866,867,868,870,
953,961,963,964,986,1073,1074,1264,1279,1280,1318,1466,1612],[1,2,3,4,5,7,8,9,
10,11,12,13,14,15,16,17,18,19,20,21,23,24,25,26,27,28,29,30,34,35,45,48,50,52,
54,55,56,57,58,60,62,63,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,82,83,84,
85,88,90,91,92,93,94,95,96,97,98,99,105,106,107,108,109,110,114,115,116,117,
118,121,136,137,140,148,149,150,151,154,169,171,177,178,197,199,200,201,203,
205,208,209,210,211,212,213,214,215,216,217,218,219,220,223,224,225,226,227,
236,237,239,241,242,249,323,324,325,326,328,331,344,345,346,347,350,352,354,
355,356,357,360,361,362,363,364,365,368,369,370,371,392,393,394,395,399,400,
481,486,487,488,509,510,513,514,515,516,518,519,520,521,533,541,542,543,544,
546,574,575,577,578,579,580,581,582,584,585,661,662,665,666,676,866,867,868,
870,953,972,973,974,975,1071,1075,1266,1277,1278,1319,1466,1613],[1,2,3,4,5,7,
8,9,10,11,12,13,14,15,16,17,18,19,20,21,23,24,25,26,27,28,29,30,34,35,39,40,
43,48,50,52,54,55,56,57,58,60,62,63,65,66,68,69,70,71,72,73,74,75,76,77,78,79,
80,82,83,84,85,88,90,91,92,93,94,95,96,97,98,99,105,106,107,108,109,110,114,
115,116,117,118,121,136,137,140,148,149,150,151,154,170,176,180,183,184,197,
199,200,201,203,205,208,209,210,211,212,213,214,215,216,217,218,219,220,223,
224,225,226,227,236,237,239,241,242,249,323,324,325,326,328,331,344,345,346,
347,350,352,354,355,356,357,360,361,362,363,364,365,368,369,370,371,392,393,
394,395,399,400,450,452,457,472,474,490,492,509,510,513,514,515,516,518,519,
520,521,533,541,542,543,544,546,574,575,577,578,579,580,581,582,584,585,661,
662,665,666,676,865,872,876,897,899,903,904,953,972,973,974,975,1071,1075,
1244,1245,1263,1270,1319,1468,1484,1485,1614],[1,2,3,4,5,7,8,9,10,11,12,13,14,
15,16,17,18,19,20,21,23,24,27,28,29,30,32,33,34,35,39,40,42,43,45,47,48,50,51,
52,54,55,56,57,58,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,
81,82,83,84,85,88,97,98,99,100,101,102,103,104,105,106,107,108,109,110,114,
115,116,117,118,121,124,126,127,128,133,134,136,137,140,143,144,145,147,148,
149,150,151,154,160,169,177,178,182,184,185,186,187,197,198,199,200,201,202,
203,205,206,207,208,216,217,218,219,220,221,223,225,229,236,237,239,241,242,
244,247,248,249,251,276,277,280,288,289,290,291,311,312,313,317,318,319,320,
344,345,346,347,350,352,354,355,356,357,360,361,362,363,364,365,368,369,370,
371,375,377,378,379,381,382,383,386,387,388,391,392,393,394,395,399,400,401,
402,407,408,409,411,412,413,414,446,447,454,455,459,460,465,471,475,477,481,
486,487,488,493,509,510,513,514,515,516,518,519,520,521,524,526,529,530,533,
534,535,536,537,538,540,541,544,545,556,557,560,561,589,590,592,594,595,597,
601,602,603,604,605,606,613,614,615,616,638,642,650,651,655,657,658,659,660,
669,675,676,868,878,882,883,886,887,888,896,901,907,908,910,913,915,952,962,
977,979,981,982,983,984,985,1070,1072,1074,1075,1248,1249,1255,1264,1266,1268,
1274,1320,1470,1482,1487,1488,1489,1615],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,
25,26,27,28,29,30,32,33,44,47,80,81,82,83,84,85,88,90,91,92,93,94,95,96,97,98,
99,100,101,102,124,125,126,127,128,143,144,145,146,147,160,161,172,173,174,
194,221,223,224,225,226,227,228,229,230,251,259,260,267,268,269,304,305,306,
335,336,337,338,374,375,377,378,379,409,410,411,412,413,414,430,431,478,479,
480,491,523,524,538,546,572,573,617,618,619,620,621,622,626,627,670,671,672,
689,690,697,711,712,724,725,726,738,749,750,751,752,777,778,840,864,869,884,
954,986,1012,1031,1147,1152,1157,1194,1214,1265,1275,1281,1288,1333,1467,
1616],[1,2,5,6,8,25,26,27,31,33,37,41,47,88,89,90,123,124,131,132,143,156,157,
161,162,166,172,173,174,194,224,259,260,335,338,339,340,409,420,421,433,434,
439,440,466,469,470,572,573,625,681,725,745,832,835,836,849,852,864,869,884,
954,1076,1107,1173,1205,1206,1219,1251,1256,1303,1446,1467,1617],[1,2,3,4,7,8,
9,10,11,12,16,17,18,19,20,21,22,23,24,32,34,35,36,39,40,43,47,57,58,59,60,61,
62,63,64,65,66,67,68,69,70,80,81,82,100,101,103,104,114,115,116,117,118,119,
120,121,122,133,134,135,136,137,138,139,140,147,165,169,177,178,180,183,184,
194,203,204,205,206,207,208,221,228,243,244,249,250,258,276,277,278,279,280,
281,282,317,318,319,320,321,322,344,345,346,347,348,349,350,351,352,353,374,
375,386,387,388,389,390,391,428,429,446,447,454,455,458,471,475,477,492,521,
522,523,528,529,540,547,548,601,602,603,604,605,606,607,608,609,632,638,639,
668,669,679,680,737,800,801,804,805,806,807,868,871,885,886,901,906,959,980,
981,1002,1049,1050,1066,1089,1090,1091,1092,1248,1249,1250,1264,1267,1280,
1403,1486,1487,1519,1522,1523,1618],[1,2,3,4,5,7,9,12,13,14,15,16,18,19,20,21,
23,25,26,27,28,29,30,31,34,35,37,39,40,42,43,45,48,49,50,52,57,60,65,66,71,72,
74,75,76,78,79,83,85,86,87,89,90,91,92,94,95,96,97,99,106,107,108,109,110,112,
115,116,117,118,121,129,130,131,132,137,140,141,148,149,150,152,154,157,158,
159,163,170,176,182,184,185,186,187,195,197,209,212,213,215,216,219,222,227,
237,238,241,246,252,256,296,297,300,301,323,325,326,328,330,331,332,346,352,
354,355,356,363,364,365,366,367,368,371,394,397,400,405,406,415,416,417,418,
419,421,426,427,450,452,457,462,467,472,474,485,490,493,511,513,518,532,539,
542,567,569,570,575,576,577,578,581,582,585,586,640,645,661,664,665,682,685,
743,817,820,821,823,827,828,865,881,895,897,903,909,911,919,967,971,975,1007,
1056,1059,1060,1093,1095,1096,1100,1244,1245,1252,1263,1273,1276,1408,1483,
1484,1518,1524,1525,1619],[1,2,3,4,7,8,9,10,11,12,16,17,19,20,22,23,24,32,33,
36,40,43,45,47,48,50,51,52,54,55,56,59,60,61,62,63,64,66,67,68,69,70,80,81,82,
101,103,104,119,120,122,125,126,127,135,138,139,143,146,147,169,177,178,182,
183,189,197,198,199,200,201,202,204,205,206,207,208,221,230,243,250,278,279,
294,295,305,306,315,316,321,322,335,336,348,349,351,353,374,384,385,386,389,
390,410,411,447,458,471,475,477,481,486,487,488,500,522,527,528,540,544,545,
549,550,598,599,600,607,608,609,622,637,639,643,656,668,670,868,878,882,883,
885,906,921,924,952,960,978,980,992,995,996,1250,1264,1266,1293,1296,1316,
1470,1486,1513,1620],[1,2,3,4,5,7,8,9,10,12,13,14,15,16,17,18,19,20,21,25,26,
27,28,29,30,31,33,34,35,37,42,43,57,58,60,62,65,71,72,73,74,75,76,77,78,79,80,
83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,102,105,106,107,108,111,
112,123,124,129,130,131,132,136,137,141,142,144,156,157,158,159,170,176,180,
187,189,203,205,209,210,211,212,213,214,215,216,217,218,219,220,222,223,224,
225,226,227,231,245,246,252,280,286,287,288,289,292,296,297,298,299,300,301,
302,303,307,308,339,340,376,379,380,394,395,396,397,403,404,405,406,415,416,
417,418,419,420,421,462,467,472,474,490,501,525,531,532,539,541,542,543,546,
559,561,563,564,566,567,568,569,570,571,623,624,625,634,635,636,640,641,645,
646,673,674,865,872,876,895,919,922,927,953,965,966,967,987,997,998,999,1000,
1252,1263,1290,1298,1317,1468,1483,1514,1621],[1,2,3,4,5,6,8,9,10,12,13,14,15,
16,17,18,19,20,21,25,26,27,28,29,30,31,33,34,35,37,41,44,57,58,60,62,65,71,72,
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,
102,105,106,107,108,111,112,123,124,129,130,131,132,136,137,141,142,144,156,
157,158,159,172,173,174,181,188,190,203,205,209,210,211,212,213,214,215,216,
217,218,219,220,222,223,224,225,226,227,231,245,246,252,280,286,287,288,289,
292,296,297,298,299,300,301,302,303,307,308,339,340,376,379,380,394,395,396,
397,403,404,405,406,415,416,417,418,419,420,421,466,469,470,478,479,480,491,
502,525,531,532,539,541,542,543,546,559,561,563,564,566,567,568,569,570,571,
623,624,625,634,635,636,640,641,645,646,673,674,869,873,874,875,917,918,920,
925,926,928,953,965,966,967,987,997,998,999,1000,1256,1265,1291,1292,1299,
1317,1469,1490,1515,1622],[1,2,3,4,7,9,11,17,18,22,23,24,33,35,36,40,43,45,49,
55,57,63,64,67,120,121,122,125,127,136,139,144,146,161,162,164,166,175,176,
182,183,189,195,198,255,257,261,290,292,295,309,312,315,345,353,382,385,431,
435,438,440,451,456,457,472,476,485,496,500,591,592,599,677,727,735,747,809,
811,813,847,851,881,899,902,922,932,955,1077,1082,1172,1195,1200,1217,1259,
1295,1443,1478,1494,1517,1623],[1,2,5,7,8,25,26,27,31,33,37,42,43,47,88,89,90,
123,124,131,132,143,156,157,161,162,166,169,179,180,187,189,194,224,259,260,
335,338,339,340,409,420,421,433,434,439,440,463,464,465,471,489,494,501,572,
573,625,681,725,745,832,835,836,849,852,871,915,916,921,933,954,1076,1107,
1173,1205,1206,1219,1258,1297,1446,1479,1500,1516,1624],[1,2,3,4,5,7,8,9,10,
11,12,13,14,15,16,17,19,20,23,24,27,32,33,34,35,36,42,43,47,60,61,62,63,66,67,
68,69,70,80,81,82,83,84,85,88,100,101,102,105,106,107,108,109,110,124,136,137,
138,139,140,143,144,145,146,147,169,177,178,180,187,189,194,205,206,207,208,
221,223,228,229,230,249,250,269,276,277,278,279,280,281,282,288,289,290,291,
294,295,335,336,337,374,375,377,378,379,392,393,394,395,399,400,409,459,460,
465,471,475,477,501,523,524,533,540,547,548,556,557,560,561,573,617,632,638,
639,642,643,670,711,712,749,800,801,802,868,871,896,915,921,924,959,962,996,
1031,1065,1066,1128,1255,1264,1280,1297,1400,1482,1513,1519,1625],[1,2,3,4,5,
7,9,11,12,13,14,15,16,18,19,20,21,23,24,25,26,27,28,29,30,33,34,35,37,40,43,
45,49,50,54,56,57,60,63,65,70,71,72,74,75,76,78,79,83,85,90,91,92,94,95,96,97,
99,105,106,109,110,112,114,115,116,118,121,127,136,137,140,142,144,148,149,
151,152,154,156,157,158,159,170,176,182,183,189,195,199,209,212,213,215,216,
219,227,231,236,238,241,245,252,263,275,289,291,292,296,297,302,303,308,309,
313,324,325,326,328,330,331,332,340,345,346,350,354,357,361,363,364,366,367,
369,370,382,393,397,399,450,457,472,474,485,490,500,511,514,519,542,576,580,
581,584,585,586,591,597,635,640,646,661,664,666,674,722,723,760,775,820,821,
826,865,881,899,904,922,927,971,972,999,1027,1056,1058,1124,1245,1263,1276,
1295,1397,1485,1514,1518,1626],[1,2,3,4,5,7,8,9,10,11,12,13,14,15,18,21,22,27,
32,33,34,35,36,42,43,47,57,58,59,64,65,80,81,82,83,84,85,88,100,101,102,103,
104,111,112,113,124,133,134,135,136,137,138,139,140,143,144,145,146,147,165,
169,175,176,180,187,189,194,203,204,221,223,228,229,230,243,244,249,250,258,
264,265,266,269,276,277,278,279,280,283,284,285,287,292,293,335,336,337,374,
375,377,378,379,386,387,388,389,390,391,396,397,398,409,428,429,461,462,465,
471,472,473,474,476,495,501,523,524,528,529,551,552,553,558,559,573,617,638,
639,670,679,680,702,703,704,708,709,711,712,737,749,767,768,769,796,797,798,
799,800,801,871,876,877,894,895,915,921,922,923,937,1002,1031,1035,1036,1063,
1064,1066,1102,1103,1114,1115,1260,1289,1290,1297,1328,1499,1506,1520,1627],[
1,2,3,4,7,8,9,10,11,12,18,21,22,23,24,32,33,35,36,40,43,45,47,49,53,57,58,59,
61,63,65,69,80,81,82,100,101,103,104,121,122,125,126,127,133,134,135,136,138,
143,144,145,147,153,155,160,165,169,175,176,182,183,189,195,196,203,206,221,
229,232,233,235,240,244,251,253,264,266,268,269,276,279,281,282,292,293,305,
306,309,314,320,321,335,336,341,343,345,348,374,375,381,382,383,386,387,388,
389,391,410,411,423,428,447,456,457,471,472,473,481,484,485,495,500,506,507,
526,529,548,549,591,596,601,608,622,633,647,649,679,687,703,704,705,707,712,
713,715,739,752,762,764,773,796,799,801,805,807,816,878,880,881,885,898,899,
921,922,923,938,1004,1024,1025,1037,1044,1045,1046,1087,1090,1110,1114,1260,
1293,1294,1295,1325,1491,1503,1520,1628],[1,2,3,4,7,8,9,10,11,12,18,21,22,23,
24,32,33,35,43,45,49,57,58,59,61,63,64,65,69,80,81,100,103,121,125,126,127,
133,136,143,144,145,146,153,161,175,176,180,182,191,195,203,204,206,229,230,
232,235,259,264,276,292,309,320,341,345,381,382,383,384,385,388,410,411,430,
431,472,473,474,476,485,496,503,506,526,527,591,601,647,677,678,703,713,738,
762,811,876,877,881,929,941,1001,1024,1039,1077,1108,1259,1301,1322,1478,1507,
1509,1629],[1,2,3,4,5,7,8,9,10,11,12,13,14,15,27,31,32,33,43,45,47,80,81,82,
83,84,85,86,87,88,89,100,101,102,123,124,143,144,145,146,147,156,162,169,179,
180,182,191,194,221,222,223,228,229,230,231,257,269,335,336,337,374,375,376,
377,378,379,380,409,420,432,433,471,481,482,483,489,494,503,523,524,525,573,
617,670,681,688,711,712,736,749,832,871,878,879,931,936,1003,1031,1038,1076,
1112,1258,1302,1321,1479,1508,1510,1630],[1,2,3,4,5,7,8,9,10,11,12,13,14,15,
16,17,19,20,22,23,24,27,32,33,34,35,36,40,42,43,47,59,60,61,62,63,64,66,67,68,
69,70,80,81,82,83,84,85,88,101,102,103,104,105,106,107,108,109,110,119,120,
122,124,128,135,136,137,138,139,140,143,144,145,147,169,177,178,183,187,191,
204,205,206,207,208,221,223,228,229,243,249,250,268,276,277,278,279,280,281,
282,288,289,290,291,304,305,321,322,348,349,351,353,374,377,378,379,386,389,
390,392,393,394,395,399,400,409,412,447,458,459,460,465,471,475,477,499,522,
524,528,533,540,554,555,556,557,560,561,607,608,609,632,638,639,642,668,705,
706,750,802,805,806,868,885,896,906,915,931,962,980,988,1032,1050,1065,1121,
1250,1255,1264,1282,1393,1482,1486,1512,1631],[1,2,3,4,5,7,9,11,12,13,14,15,
16,18,19,20,21,23,24,25,26,27,28,29,30,31,32,34,35,37,40,42,43,50,54,56,57,60,
63,65,70,71,72,74,75,76,78,79,83,85,86,87,89,90,91,92,94,95,96,97,99,105,106,
108,109,110,112,114,115,118,121,128,129,130,131,132,133,136,137,140,141,148,
149,151,152,154,157,158,159,170,176,183,187,191,199,209,212,213,215,216,219,
222,227,232,236,238,241,246,252,270,274,283,284,286,296,297,300,301,311,317,
319,324,325,326,328,330,331,332,345,350,354,357,361,363,364,369,370,392,393,
394,397,399,401,405,406,415,416,417,418,419,421,450,457,462,467,472,474,490,
499,514,519,532,539,542,565,567,569,570,580,581,584,585,615,640,645,653,661,
664,666,716,719,756,758,826,827,828,865,895,899,904,919,929,967,972,993,1028,
1058,1060,1127,1245,1252,1263,1283,1398,1483,1485,1511,1632],[1,2,3,4,7,8,9,
10,11,12,16,17,19,20,23,24,32,43,45,47,48,50,51,52,54,55,56,60,61,62,63,66,67,
68,69,70,80,81,82,100,101,147,169,177,178,180,182,191,194,197,198,199,200,201,
202,205,206,207,208,221,228,281,282,374,375,471,475,477,481,486,487,488,503,
523,540,544,545,547,548,632,868,871,878,882,883,931,952,959,988,1264,1266,
1280,1302,1313,1470,1512,1519,1633],[1,2,3,4,5,7,8,9,10,12,13,14,15,16,17,18,
19,20,21,25,26,27,28,29,30,32,34,43,45,49,57,58,60,62,65,71,72,73,74,75,76,77,
78,79,80,83,84,85,88,90,91,92,93,94,95,96,97,98,99,100,103,112,115,116,133,
137,152,170,176,180,182,191,195,203,205,209,210,211,212,213,214,215,216,217,
218,219,220,223,224,225,226,227,232,238,277,284,310,317,330,332,341,346,366,
367,388,397,472,474,485,490,503,506,511,541,542,543,546,551,576,586,602,611,
648,653,664,865,872,876,881,929,953,968,971,989,993,1263,1276,1301,1314,1468,
1511,1518,1634],[1,2,3,4,7,8,9,10,11,12,16,17,18,19,20,21,22,23,24,33,34,35,
36,39,40,43,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,80,81,
82,114,115,116,117,118,119,120,121,122,125,126,127,136,137,138,139,140,143,
144,145,146,161,175,176,180,183,184,198,199,200,201,202,203,204,206,207,208,
229,230,249,250,259,288,289,290,291,294,295,311,312,313,315,316,344,345,346,
347,348,349,350,351,352,353,381,382,383,384,385,410,411,430,431,450,451,452,
453,456,457,472,473,474,476,492,496,521,522,526,527,545,589,590,592,594,595,
597,598,599,600,642,643,655,656,677,678,738,809,810,813,814,876,877,897,898,
899,900,902,903,904,905,941,977,978,1001,1052,1053,1078,1080,1081,1082,1259,
1270,1271,1407,1493,1494,1507,1635],[1,2,3,4,5,7,8,9,10,11,12,13,14,15,16,17,
18,19,20,21,22,27,28,29,30,32,33,34,36,39,40,42,43,45,47,49,53,57,58,59,60,62,
65,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,88,97,98,99,100,101,103,104,
112,113,115,116,119,120,124,126,127,128,133,134,135,137,138,143,147,152,155,
160,165,169,175,176,182,184,185,186,187,195,196,203,205,216,217,218,219,220,
221,223,225,232,233,238,240,244,251,253,277,279,282,284,285,304,306,310,314,
317,322,336,337,341,343,346,349,366,367,372,373,375,386,387,388,389,391,397,
398,409,411,412,413,414,423,428,446,447,450,451,452,453,461,462,465,471,472,
473,481,484,485,493,495,506,507,511,517,529,538,541,547,550,551,553,554,562,
602,607,611,612,617,619,633,644,648,649,653,654,679,687,739,797,799,800,806,
807,815,878,880,881,886,887,888,894,895,897,900,909,911,912,914,915,938,964,
968,970,1004,1043,1045,1047,1083,1086,1089,1102,1260,1268,1272,1273,1405,1492,
1499,1503,1636],[1,2,3,4,7,8,9,10,11,12,16,17,18,19,20,21,22,23,24,32,34,35,
36,39,40,43,47,57,58,59,60,61,62,63,64,65,66,67,68,69,70,80,81,82,100,101,103,
104,114,115,116,117,118,119,120,121,122,133,134,135,136,137,138,139,140,147,
165,169,175,176,180,183,184,194,203,204,205,206,207,208,221,228,243,244,249,
250,258,276,277,278,279,280,281,282,317,318,319,320,321,322,344,345,346,347,
348,349,350,351,352,353,374,375,386,387,388,389,390,391,428,429,446,447,450,
451,452,453,456,457,471,472,473,474,476,492,495,521,522,523,528,529,540,547,
548,601,602,603,604,605,606,607,608,609,632,638,639,668,669,679,680,737,800,
801,804,805,806,807,871,876,877,885,886,897,898,899,900,902,903,904,905,937,
959,980,981,1002,1049,1050,1066,1089,1090,1091,1092,1260,1267,1270,1271,1403,
1491,1492,1506,1637],[1,2,3,4,5,7,9,12,13,14,15,16,18,19,20,21,23,25,26,27,28,
29,30,31,34,35,37,39,40,42,43,45,48,49,50,52,57,60,65,66,71,72,74,75,76,78,79,
83,85,86,87,89,90,91,92,94,95,96,97,99,106,107,108,109,110,112,115,116,117,
118,121,129,130,131,132,137,140,141,148,149,150,152,154,157,158,159,163,176,
178,179,182,184,185,186,187,195,197,209,212,213,215,216,219,222,227,237,238,
241,246,252,256,296,297,300,301,323,325,326,328,330,331,332,346,352,354,355,
356,363,364,365,366,367,368,371,394,397,400,405,406,415,416,417,418,419,421,
426,427,448,449,450,452,454,455,459,460,462,463,464,472,477,482,483,485,486,
487,489,493,497,511,513,518,532,539,542,567,569,570,575,576,577,578,581,582,
585,586,640,645,661,664,665,682,685,743,817,820,821,823,827,828,879,881,883,
889,890,891,892,893,895,896,897,901,907,908,909,910,911,913,916,939,967,971,
975,1007,1056,1059,1060,1093,1095,1096,1100,1261,1269,1273,1274,1408,1495,
1496,1504,1638],[1,2,3,4,5,7,9,10,12,13,14,15,16,17,18,19,20,21,22,23,25,26,
27,28,29,30,31,34,35,36,37,39,40,42,43,45,48,50,52,53,58,59,60,62,65,66,71,72,
73,74,75,76,77,78,79,83,84,85,86,87,89,90,91,92,93,94,95,96,97,98,99,105,107,
108,109,110,111,113,114,116,117,118,119,120,121,129,130,131,132,136,138,140,
142,148,149,151,153,154,155,157,158,159,164,175,178,179,182,184,185,186,187,
196,197,210,211,212,213,214,215,217,218,219,220,222,226,227,235,236,240,241,
245,252,255,298,299,302,303,323,324,326,327,328,329,331,333,334,344,349,352,
355,356,357,358,359,362,363,364,368,371,372,373,395,396,398,400,403,404,415,
416,417,418,419,421,424,425,448,449,451,453,454,455,459,460,461,463,464,473,
477,482,483,484,486,487,489,493,498,509,512,517,518,531,539,543,566,568,571,
574,578,579,580,582,583,584,587,588,641,646,662,663,666,667,683,684,742,818,
819,822,824,829,830,879,880,883,889,890,891,892,893,894,896,900,901,907,908,
910,912,913,914,916,940,966,974,976,1006,1054,1057,1061,1094,1097,1098,1099,
1262,1269,1272,1274,1409,1497,1498,1505,1639],[1,2,3,4,5,7,8,9,10,11,12,13,14,
15,25,26,27,28,29,30,31,32,33,37,39,40,42,43,45,47,80,81,82,83,84,85,86,87,88,
89,90,91,92,93,94,95,96,97,98,99,100,101,102,123,124,126,127,128,129,130,131,
132,143,144,145,147,156,157,158,159,160,162,169,179,182,184,185,186,187,221,
222,223,224,225,226,227,229,231,251,252,257,304,306,307,308,336,337,338,339,
340,375,376,377,378,379,380,409,411,412,413,414,415,416,417,418,419,420,421,
432,433,446,447,448,449,463,464,465,471,481,482,483,489,493,494,524,525,538,
539,546,572,617,618,619,620,621,623,624,625,671,672,673,674,681,688,736,833,
834,835,836,878,879,886,887,888,889,890,891,892,893,915,916,936,986,987,1003,
1068,1069,1104,1105,1106,1107,1258,1268,1269,1410,1500,1501,1508,1640],[1,2,3,
4,7,8,9,10,11,12,18,21,22,32,43,45,47,49,53,57,58,59,64,65,80,81,82,100,101,
103,104,133,134,135,147,165,169,175,176,180,182,191,194,195,196,203,204,221,
228,232,233,234,243,244,253,254,258,341,342,343,374,375,386,387,388,389,390,
391,422,423,428,429,471,472,473,474,476,481,484,485,495,503,506,507,508,523,
528,529,679,680,686,687,737,739,740,741,744,871,876,877,878,880,881,929,930,
931,937,938,942,1002,1004,1005,1116,1260,1300,1301,1302,1306,1312,1502,1503,
1506,1641],[1,2,3,4,5,7,8,9,10,11,12,13,14,15,18,21,22,23,24,27,32,33,34,35,
36,40,42,43,47,57,58,59,61,63,69,80,81,83,84,85,88,100,101,103,104,111,112,
113,118,121,122,124,125,128,133,134,135,136,137,138,143,147,165,169,175,176,
183,187,191,206,223,228,232,233,234,243,244,253,254,258,267,268,270,271,272,
273,276,277,279,281,282,283,284,285,304,305,319,320,321,336,337,341,342,343,
345,347,348,374,375,386,387,388,389,390,391,396,397,398,401,402,409,410,412,
422,423,428,429,447,456,457,461,462,465,471,472,473,495,499,530,548,549,551,
552,553,554,601,604,608,617,627,630,631,679,680,686,687,695,698,699,729,730,
731,737,739,740,741,744,750,757,758,759,776,796,797,798,799,800,801,804,805,
806,807,815,816,885,894,895,898,899,915,929,930,931,942,1083,1084,1087,1088,
1090,1091,1102,1103,1116,1150,1153,1154,1220,1221,1222,1260,1282,1283,1284,
1437,1491,1499,1502,1642],[1,2,3,4,7,8,9,10,11,12,16,17,18,19,20,21,23,24,32,
33,34,35,36,39,40,43,47,57,58,60,61,62,63,65,66,67,68,69,70,80,81,82,100,101,
103,104,114,115,116,117,118,121,133,134,136,137,138,139,140,143,146,147,160,
169,177,178,184,189,191,203,205,206,207,208,221,228,230,244,249,250,251,267,
268,276,277,278,279,280,281,282,294,295,306,317,318,319,320,335,336,344,345,
346,347,350,352,375,386,387,388,391,446,447,454,455,471,475,477,504,521,529,
540,601,602,603,604,605,606,632,633,638,639,643,669,670,695,778,794,804,807,
868,886,901,921,924,931,981,988,996,1016,1049,1121,1128,1248,1249,1264,1285,
1382,1487,1512,1513,1643],[1,2,3,4,5,7,9,12,13,14,15,16,18,19,20,21,23,25,26,
27,28,29,30,32,33,34,35,37,39,40,43,48,50,52,57,60,65,66,71,72,74,75,76,78,79,
83,85,90,91,92,94,95,96,97,99,106,107,108,109,110,115,116,117,118,121,133,136,
137,140,142,144,148,149,150,152,154,156,157,158,159,160,170,176,184,189,191,
197,209,212,213,215,216,219,227,231,232,237,238,239,241,245,247,252,262,265,
271,274,284,288,289,292,296,297,302,303,308,317,318,323,325,326,328,330,331,
332,340,346,352,354,355,356,363,364,365,368,371,394,400,450,452,457,472,474,
490,504,513,518,542,575,577,578,581,582,585,635,640,646,653,660,661,664,665,
674,700,779,783,784,789,817,823,865,897,903,922,927,929,975,993,999,1022,1059,
1124,1127,1244,1245,1263,1287,1386,1484,1511,1514,1644],[1,2,4,5,7,8,10,11,25,
26,27,31,32,33,37,40,42,43,47,81,88,89,90,101,102,123,124,125,128,131,132,143,
146,147,156,157,162,166,169,179,183,187,191,224,228,230,267,268,269,304,305,
335,337,338,339,340,374,377,409,410,412,420,421,433,434,437,438,447,463,464,
465,471,489,494,499,572,618,625,627,681,690,711,724,745,749,750,751,832,835,
836,850,854,885,915,916,931,934,1012,1107,1112,1174,1206,1224,1229,1258,1282,
1447,1481,1500,1510,1645],[1,2,3,4,5,7,9,11,13,14,17,18,22,23,24,27,32,33,34,
35,36,40,42,43,55,57,63,64,67,83,109,110,112,120,121,122,123,125,127,128,133,
136,137,139,142,144,146,161,166,175,176,183,187,191,198,232,245,262,264,270,
275,283,290,295,309,312,313,315,319,320,345,353,376,382,385,392,393,397,401,
431,435,437,439,451,456,457,462,472,476,496,499,592,599,614,629,677,694,713,
718,747,758,760,772,809,811,813,848,855,895,899,902,929,935,1013,1082,1108,
1176,1200,1226,1232,1259,1283,1449,1480,1494,1509,1646],[1,2,3,4,5,7,8,9,10,
11,12,13,14,15,27,31,32,33,40,43,45,47,80,81,82,83,84,85,86,87,88,89,101,102,
123,124,125,126,127,128,143,144,145,146,147,156,161,162,166,169,179,182,183,
189,221,222,223,229,230,231,257,259,260,267,269,305,306,335,337,338,374,376,
377,378,379,380,409,410,411,412,420,430,431,432,433,434,435,436,437,438,439,
440,447,471,481,482,483,489,494,500,524,525,621,622,626,627,681,688,697,725,
726,736,738,745,748,749,751,837,849,850,851,852,854,855,857,878,879,885,921,
933,934,936,1003,1149,1152,1170,1173,1229,1230,1233,1234,1258,1293,1305,1421,
1481,1508,1516,1647],[1,2,3,4,5,7,8,9,10,11,12,13,14,18,21,22,23,24,27,33,34,
35,42,43,57,58,59,61,63,64,65,69,80,81,83,102,109,110,111,112,123,124,125,126,
127,136,137,143,144,145,146,156,161,162,166,175,176,180,187,189,203,204,206,
229,230,231,257,259,261,262,263,280,287,290,291,292,376,379,381,382,383,384,
385,392,393,396,397,410,411,430,431,432,433,434,435,436,437,438,439,440,462,
472,473,474,476,496,501,526,527,559,560,628,629,677,678,696,727,728,736,738,
746,747,774,775,837,847,848,851,852,854,855,857,876,877,895,922,932,935,941,
1001,1148,1151,1171,1172,1231,1232,1233,1235,1259,1290,1304,1420,1480,1507,
1517,1648],[1,2,3,4,7,8,9,10,11,12,16,17,18,19,20,21,22,32,33,34,35,36,39,40,
43,47,57,58,59,60,62,80,81,100,101,103,104,114,115,116,117,119,120,126,127,
133,134,135,136,137,138,143,144,145,147,160,165,169,175,176,184,189,191,205,
228,229,232,233,234,243,244,247,248,251,253,254,258,264,265,266,267,268,269,
270,271,272,273,276,277,279,282,287,292,293,305,306,317,318,322,335,336,341,
342,343,344,346,349,374,375,386,387,388,389,390,391,411,422,423,428,429,446,
447,450,451,452,453,471,472,473,495,504,547,550,602,603,607,675,679,680,686,
687,695,698,699,702,703,704,705,712,737,739,740,741,744,752,765,766,778,779,
780,781,791,796,797,798,799,800,801,804,805,806,807,815,816,838,845,846,886,
897,900,921,922,923,929,930,931,942,1085,1086,1089,1092,1110,1111,1114,1115,
1116,1131,1134,1135,1220,1221,1222,1260,1285,1286,1287,1438,1492,1502,1520,
1649],[1,2,3,4,5,7,9,11,12,13,14,16,18,19,20,22,23,24,27,29,30,33,34,35,36,39,
40,42,43,45,49,52,56,57,60,63,64,68,72,74,76,83,97,105,107,110,112,115,116,
119,121,122,123,125,127,136,137,139,144,146,152,154,161,166,175,176,182,184,
185,186,187,195,200,216,238,239,262,274,286,288,292,294,309,311,315,345,346,
351,366,367,368,370,376,382,385,392,395,397,431,435,437,439,450,452,453,456,
462,472,476,485,493,496,511,516,563,589,591,598,629,677,747,755,756,784,809,
811,814,848,855,881,895,897,905,909,911,935,1077,1078,1159,1195,1196,1226,
1232,1259,1273,1435,1478,1480,1493,1650],[1,2,3,4,5,7,8,9,10,11,12,27,28,29,
30,31,32,33,37,39,40,43,47,80,81,82,88,89,97,98,99,100,101,123,124,125,126,
127,128,129,130,143,147,156,157,160,162,166,169,179,180,183,184,194,221,225,
228,251,267,268,304,305,306,308,335,339,374,375,409,410,411,412,413,414,419,
420,433,434,437,438,446,447,448,449,471,489,492,494,523,538,573,619,622,623,
627,681,745,750,752,778,832,834,835,850,854,871,885,886,889,934,1076,1104,
1157,1204,1205,1224,1229,1258,1267,1433,1479,1481,1501,1651],[1,2,3,4,7,9,11,
12,16,18,19,20,22,23,24,32,33,34,35,36,39,40,43,52,56,57,60,63,64,68,115,116,
119,122,125,127,133,136,137,139,144,146,149,151,160,161,162,166,175,176,184,
189,191,200,232,236,247,257,261,263,264,265,271,275,288,289,290,292,294,309,
311,315,318,320,346,351,382,385,431,435,438,440,450,452,453,456,472,476,496,
504,589,598,658,677,691,701,713,722,727,747,779,809,811,814,839,847,851,897,
905,922,929,932,1078,1108,1141,1172,1176,1196,1217,1259,1287,1440,1493,1509,
1517,1652],[1,2,3,4,5,7,8,9,10,12,27,28,29,30,31,32,33,37,39,40,43,47,80,88,
89,97,98,99,100,101,123,124,129,130,143,144,145,147,156,157,160,161,162,166,
169,179,184,189,191,225,228,229,251,259,260,267,268,269,304,306,308,335,336,
337,338,339,375,409,419,420,433,434,439,440,446,447,448,449,471,489,494,504,
619,623,672,681,690,697,711,712,725,745,778,832,834,835,840,849,852,886,889,
921,931,933,1104,1112,1147,1173,1174,1204,1219,1258,1285,1442,1501,1510,1516,
1653],[1,2,5,7,8,25,26,27,31,33,37,42,43,47,88,89,90,123,124,131,132,143,156,
157,161,162,166,169,171,180,187,189,194,224,259,260,335,338,339,340,409,420,
421,433,434,439,440,465,468,471,501,572,573,625,681,725,745,832,835,836,849,
852,870,871,915,921,954,1076,1107,1173,1205,1206,1219,1257,1279,1297,1446,
1472,1528,1530,1654],[1,2,5,6,8,25,26,27,31,33,37,41,44,47,88,89,90,123,124,
131,132,143,156,157,161,162,166,172,181,188,190,194,224,259,260,335,338,339,
340,409,420,421,433,434,439,440,466,491,502,572,573,625,681,725,745,832,835,
836,849,852,864,873,920,928,954,1076,1107,1173,1205,1206,1219,1251,1275,1299,
1446,1471,1521,1531,1655],[1,2,5,7,8,25,26,27,31,33,37,42,43,47,88,89,90,123,
124,131,132,143,156,157,161,162,166,169,170,180,187,189,194,224,259,260,335,
338,339,340,409,420,421,433,434,439,440,465,467,471,490,496,501,572,573,625,
681,725,745,832,835,836,849,852,871,872,915,919,921,927,932,935,941,954,1076,
1107,1173,1205,1206,1219,1297,1298,1304,1446,1473,1656],[1,2,3,4,7,9,11,17,18,
22,23,24,33,35,36,40,43,45,49,55,57,63,64,67,120,121,122,125,127,136,139,144,
146,161,162,164,166,176,177,182,183,189,195,198,255,257,261,290,292,295,309,
312,315,345,353,382,385,431,435,438,440,457,458,472,475,485,488,494,498,500,
591,592,599,677,727,735,747,809,811,813,847,851,881,882,899,906,922,924,933,
934,936,940,955,1077,1082,1172,1195,1200,1217,1295,1296,1305,1443,1475,1657],[
1,2,3,4,7,9,10,11,17,21,22,23,24,33,34,36,40,43,45,53,55,58,59,61,63,64,67,
118,120,122,125,126,127,137,138,139,144,145,146,161,162,163,166,175,177,182,
183,189,196,198,256,257,262,287,291,293,295,310,311,314,315,347,348,353,381,
383,384,385,430,431,435,438,440,456,458,473,475,484,488,494,497,500,590,593,
596,599,678,728,734,746,808,810,812,814,848,851,880,882,898,906,923,924,933,
934,936,939,956,1079,1080,1171,1197,1199,1216,1294,1296,1305,1444,1476,1658],[
1,2,4,5,7,8,10,11,15,22,25,26,27,31,32,33,36,37,42,43,59,64,81,84,88,89,90,
102,113,123,124,128,131,132,138,143,145,147,156,157,161,162,165,166,170,175,
180,187,189,204,224,258,259,267,278,281,293,304,305,337,339,340,377,378,380,
398,412,420,421,432,433,434,439,440,461,467,473,476,490,495,496,501,555,558,
618,625,688,726,729,748,795,802,833,834,850,852,872,877,894,919,923,927,932,
935,937,941,958,1101,1106,1170,1201,1203,1215,1289,1298,1304,1445,1474,1659],[
1,2,3,4,7,8,9,10,12,18,21,32,33,36,43,45,49,57,58,65,80,100,103,133,138,143,
147,155,160,161,165,176,180,182,191,195,203,232,240,251,258,259,268,269,279,
282,306,314,336,341,388,472,474,485,495,496,503,506,633,649,799,807,838,840,
876,881,929,937,941,1010,1045,1119,1301,1330,1535,1660],[1,2,3,4,7,8,9,10,11,
12,32,34,35,36,43,45,47,80,81,82,100,101,136,137,138,139,140,147,163,164,169,
180,182,191,194,221,228,249,250,255,256,274,275,276,277,278,279,280,374,375,
471,481,497,498,503,523,638,639,800,801,841,842,871,878,931,939,940,1008,1066,
1122,1302,1329,1533,1661],[1,2,4,5,6,8,10,11,15,25,26,27,31,32,33,36,37,41,44,
81,84,88,89,90,102,123,124,125,128,131,132,135,138,143,145,147,156,157,162,
166,172,181,188,190,224,243,260,266,268,278,281,285,304,337,339,340,377,378,
380,410,412,420,421,432,433,434,437,438,466,491,502,618,625,626,688,689,706,
709,748,776,795,802,833,834,849,854,873,884,920,928,1011,1106,1113,1175,1201,
1223,1230,1281,1288,1299,1303,1450,1529,1532,1536,1662],[1,2,3,4,8,9,10,11,12,
16,17,19,20,23,24,46,47,48,50,51,52,54,55,56,60,61,62,63,66,67,68,69,70,80,81,
82,197,198,199,200,201,202,205,206,207,208,221,540,544,545,944,946,947,952,
1663],[1,2,5,6,8,27,33,38,44,47,88,124,143,168,172,193,194,335,409,491,505,
573,864,1243,1275,1457,1540,1664],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,18,
19,20,21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,47,48,50,51,52,54,55,56,57,
58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,
84,85,88,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,
109,110,114,115,116,117,118,119,120,121,122,124,125,126,127,128,133,134,135,
136,137,138,139,140,143,144,145,146,147,148,149,150,151,154,160,161,165,194,
197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,
216,217,218,219,220,221,223,224,225,226,227,228,229,230,236,237,239,241,242,
243,244,247,248,249,250,251,258,259,260,267,268,269,276,277,278,279,280,281,
282,288,289,290,291,294,295,304,305,306,311,312,313,315,316,317,318,319,320,
321,322,323,324,325,326,328,331,335,336,337,338,344,345,346,347,348,349,350,
351,352,353,354,355,356,357,360,361,362,363,364,365,368,369,370,371,374,375,
377,378,379,381,382,383,384,385,386,387,388,389,390,391,392,393,394,395,399,
400,401,402,407,408,409,410,411,412,413,414,428,429,430,431,509,510,513,514,
515,516,518,519,520,521,522,523,524,526,527,528,529,530,533,534,535,536,537,
538,540,541,542,543,544,545,546,547,548,549,550,554,555,556,557,560,561,562,
572,573,574,575,577,578,579,580,581,582,584,585,589,590,592,594,595,597,598,
599,600,601,602,603,604,605,606,607,608,609,613,614,615,616,617,618,619,620,
621,622,626,627,632,633,637,638,639,642,643,644,650,651,655,656,657,658,659,
660,661,662,665,666,668,669,670,671,672,675,676,677,678,679,680,689,690,695,
697,705,706,707,711,712,724,725,726,729,737,738,749,750,751,752,773,776,777,
778,791,794,800,801,802,804,805,806,807,809,810,813,814,831,838,840,853,952,
953,954,958,959,960,961,962,963,964,972,973,974,975,977,978,979,980,981,982,
983,984,985,986,988,992,995,996,1001,1002,1010,1011,1012,1016,1017,1031,1032,
1033,1037,1049,1050,1051,1052,1053,1065,1066,1070,1071,1072,1073,1074,1075,
1078,1080,1081,1082,1089,1090,1091,1092,1121,1125,1128,1131,1132,1138,1139,
1147,1150,1152,1157,1164,1167,1169,1189,1190,1193,1194,1207,1214,1313,1316,
1318,1319,1320,1333,1337,1348,1351,1363,1364,1370,1372,1374,1379,1380,1382,
1385,1393,1395,1400,1403,1407,1432,1541,1543,1545,1552,1553,1565,1567,1665],[
1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,
31,32,33,34,35,36,37,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,
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,
114,115,116,117,118,119,120,121,123,124,126,127,128,129,130,131,132,133,134,
135,136,137,138,140,141,142,143,144,145,147,148,149,150,151,152,153,154,155,
156,157,158,159,160,162,163,164,165,195,196,197,198,199,200,201,202,203,205,
206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,
225,226,227,229,231,232,233,235,236,237,238,239,240,241,242,244,245,246,247,
248,249,251,252,253,255,256,257,261,262,263,264,265,270,271,274,275,276,277,
279,280,282,283,284,285,286,287,288,289,290,291,292,296,297,298,299,300,301,
302,303,304,306,307,308,309,310,311,312,313,314,317,318,319,320,322,323,324,
325,326,327,328,329,330,331,332,333,334,336,337,338,339,340,341,343,344,345,
346,347,349,350,352,354,355,356,357,358,359,360,361,362,363,364,365,366,367,
368,369,370,371,372,373,375,376,377,378,379,380,381,382,383,386,387,388,389,
391,392,393,394,395,396,397,398,399,400,401,402,403,404,405,406,407,408,409,
411,412,413,414,415,416,417,418,419,420,421,423,424,425,426,427,428,432,433,
506,507,509,510,511,512,513,514,515,516,517,518,519,520,521,524,525,526,529,
530,531,532,533,534,535,536,537,538,539,540,541,542,543,544,545,546,547,550,
551,552,553,554,556,557,559,560,561,562,563,564,565,566,567,568,569,570,571,
572,574,575,576,577,578,579,580,581,582,583,584,585,586,587,588,589,590,591,
592,593,594,595,597,601,602,603,604,605,606,607,610,611,612,613,614,615,616,
617,618,619,620,621,623,624,625,628,629,630,633,634,635,636,638,640,641,642,
644,645,646,647,648,649,650,651,652,653,654,655,657,658,659,660,661,662,663,
664,665,666,667,669,671,672,673,674,675,676,679,681,682,683,684,685,687,688,
691,692,693,694,696,699,700,701,702,703,708,710,713,714,716,717,718,719,720,
721,722,723,727,728,730,732,733,734,735,736,739,742,743,753,754,755,756,757,
758,760,761,762,763,766,767,768,770,771,772,774,775,779,780,782,783,784,785,
786,787,789,790,792,793,797,799,800,803,806,807,812,815,817,818,819,820,821,
822,823,824,825,826,827,828,829,830,833,834,835,836,839,841,842,843,844,845,
853,952,953,955,956,957,961,962,963,964,965,966,967,968,969,970,971,972,973,
974,975,976,977,979,981,982,983,984,985,986,987,989,990,991,993,994,997,998,
999,1000,1003,1004,1006,1007,1008,1009,1013,1014,1015,1018,1019,1021,1022,
1023,1024,1026,1027,1028,1029,1030,1034,1035,1041,1043,1045,1047,1054,1055,
1056,1057,1058,1059,1060,1061,1067,1068,1069,1070,1071,1072,1073,1074,1075,
1083,1086,1089,1093,1094,1095,1096,1097,1098,1099,1100,1102,1104,1105,1106,
1107,1118,1120,1123,1124,1126,1127,1130,1133,1134,1136,1137,1140,1141,1142,
1143,1144,1145,1146,1151,1153,1155,1156,1158,1159,1160,1161,1163,1165,1166,
1169,1178,1179,1180,1181,1182,1183,1185,1186,1187,1188,1191,1192,1208,1209,
1210,1211,1212,1213,1314,1315,1317,1318,1319,1320,1334,1335,1336,1349,1352,
1353,1354,1360,1361,1366,1367,1368,1369,1371,1373,1375,1377,1378,1379,1380,
1384,1386,1387,1388,1390,1392,1396,1397,1398,1399,1402,1405,1408,1409,1410,
1430,1431,1542,1544,1545,1554,1556,1557,1558,1566,1568,1569,1570,1666],[1,2,3,
4,5,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,32,33,
34,35,36,47,49,53,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,
77,78,79,80,81,82,83,84,85,88,90,91,92,93,94,95,96,97,98,99,100,101,102,103,
104,111,112,113,114,115,116,117,118,119,120,121,122,124,125,126,127,128,133,
134,135,136,137,138,139,140,143,144,145,146,147,152,153,155,160,161,165,194,
195,196,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,
220,221,223,224,225,226,227,228,229,230,232,233,234,235,238,240,243,244,247,
248,249,250,251,253,254,258,259,260,264,265,266,267,268,269,270,271,272,273,
276,277,278,279,280,281,282,283,284,285,287,292,293,304,305,306,309,310,314,
317,318,319,320,321,322,327,329,330,332,333,334,335,336,337,338,341,342,343,
344,345,346,347,348,349,350,351,352,353,358,359,366,367,372,373,374,375,377,
378,379,381,382,383,384,385,386,387,388,389,390,391,396,397,398,401,402,407,
408,409,410,411,412,413,414,422,423,428,429,430,431,506,507,508,511,512,517,
521,522,523,524,526,527,528,529,530,534,535,536,537,538,540,541,542,543,546,
547,548,549,550,551,552,553,554,555,558,559,562,572,573,576,583,586,587,588,
591,593,596,601,602,603,604,605,606,607,608,609,610,611,612,617,618,619,620,
621,622,626,627,630,631,632,633,637,638,639,644,647,648,649,652,653,654,663,
664,667,668,669,670,671,672,675,677,678,679,680,686,687,689,690,695,697,698,
699,702,703,704,705,706,707,708,709,711,712,713,714,715,724,725,726,729,730,
731,737,738,739,740,741,744,749,750,751,752,757,758,759,762,763,764,765,766,
767,768,769,773,776,777,778,779,780,781,786,787,788,791,794,796,797,798,799,
800,801,804,805,806,807,808,811,812,815,816,838,840,845,846,953,954,958,959,
960,961,963,964,968,969,970,971,976,980,981,986,989,990,991,993,994,1001,1002,
1004,1005,1010,1011,1012,1016,1017,1019,1020,1023,1024,1025,1031,1032,1033,
1035,1036,1037,1039,1040,1041,1042,1043,1044,1045,1046,1047,1048,1049,1050,
1063,1064,1066,1073,1074,1077,1079,1083,1084,1085,1086,1087,1088,1089,1090,
1091,1092,1102,1103,1108,1109,1110,1111,1114,1115,1116,1117,1118,1119,1120,
1131,1132,1134,1135,1138,1139,1147,1150,1152,1153,1154,1157,1160,1161,1162,
1164,1167,1182,1183,1184,1189,1190,1193,1194,1207,1214,1220,1221,1222,1312,
1314,1315,1318,1322,1323,1324,1325,1326,1328,1330,1331,1333,1337,1341,1342,
1343,1345,1346,1349,1350,1356,1357,1358,1360,1361,1362,1372,1374,1375,1376,
1383,1384,1389,1390,1391,1392,1403,1404,1405,1406,1428,1432,1437,1438,1541,
1554,1555,1559,1560,1563,1579,1589,1590,1667],[1,2,3,4,5,8,9,10,11,12,13,14,
15,16,17,18,19,20,21,22,23,24,27,28,29,30,31,32,33,34,35,36,47,48,49,50,51,52,
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,
79,80,81,82,83,84,85,86,87,88,89,97,98,99,100,101,102,103,104,105,106,107,108,
109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,
128,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,
151,152,153,154,155,156,160,162,163,164,165,194,195,196,197,198,199,200,201,
202,203,204,205,206,207,208,216,217,218,219,220,221,222,223,225,228,229,230,
231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,
250,251,253,254,255,256,257,258,261,262,263,264,265,266,267,268,269,270,271,
272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,
291,292,293,294,295,304,305,306,309,310,311,312,313,314,315,316,317,318,319,
320,321,322,335,336,337,341,342,343,344,345,346,347,348,349,350,351,352,353,
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,
411,412,413,414,420,422,423,424,425,426,427,428,429,432,433,506,507,508,509,
510,511,512,513,514,515,516,517,518,519,520,521,522,523,524,525,526,527,528,
529,530,531,532,533,534,535,536,537,538,540,541,544,545,547,548,549,550,551,
552,553,554,555,556,557,558,559,560,561,562,563,564,565,573,589,590,591,592,
593,594,595,596,597,598,599,600,601,602,603,604,605,606,607,608,609,610,611,
612,613,614,615,616,617,619,622,627,628,629,630,631,632,633,634,635,636,637,
638,639,642,643,644,647,648,649,650,651,652,653,654,655,656,657,658,659,660,
668,669,670,675,676,679,680,681,682,683,684,685,686,687,688,691,692,693,694,
695,696,698,699,700,701,702,703,704,705,706,707,708,709,710,711,712,713,714,
715,716,717,718,719,720,721,722,723,727,728,729,730,731,732,733,734,735,736,
737,739,740,741,742,743,744,749,750,752,753,754,755,756,757,758,759,760,761,
762,763,764,765,766,767,768,769,770,771,772,773,774,775,776,778,779,780,781,
782,783,784,785,786,787,788,789,790,791,792,793,794,795,796,797,798,799,800,
801,802,804,805,806,807,815,816,832,838,839,841,842,843,844,845,846,952,955,
956,957,959,960,962,964,965,968,969,970,977,978,979,980,981,982,983,984,985,
988,992,995,996,1002,1003,1004,1005,1006,1007,1008,1009,1013,1014,1015,1016,
1018,1019,1020,1021,1022,1023,1024,1025,1026,1027,1028,1029,1030,1031,1032,
1034,1035,1036,1037,1038,1042,1043,1044,1045,1046,1047,1048,1049,1050,1062,
1063,1064,1065,1066,1070,1072,1074,1075,1076,1083,1084,1085,1086,1087,1088,
1089,1090,1091,1092,1101,1102,1103,1110,1111,1112,1113,1114,1115,1116,1121,
1122,1128,1129,1131,1133,1134,1135,1136,1137,1140,1141,1142,1143,1144,1145,
1146,1150,1151,1153,1154,1155,1156,1157,1158,1159,1160,1161,1162,1163,1165,
1166,1167,1178,1179,1180,1181,1182,1183,1184,1185,1186,1187,1188,1189,1191,
1192,1193,1208,1209,1210,1211,1212,1213,1220,1221,1222,1312,1313,1316,1320,
1321,1324,1325,1326,1327,1328,1329,1332,1334,1335,1336,1338,1339,1340,1344,
1347,1351,1355,1356,1357,1358,1363,1364,1365,1372,1373,1375,1376,1377,1378,
1381,1382,1393,1394,1400,1401,1403,1404,1405,1406,1429,1430,1431,1437,1438,
1542,1551,1553,1561,1562,1564,1579,1588,1591,1668],[1,2,3,4,5,8,9,10,11,12,13,
14,15,16,17,18,19,20,21,22,23,24,27,28,29,30,32,33,34,35,36,37,47,49,53,57,58,
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,
85,88,97,98,99,100,101,102,103,104,111,112,114,115,116,117,118,121,122,124,
125,126,127,128,133,134,135,136,137,138,139,140,143,144,145,146,147,148,149,
150,151,152,153,154,155,157,158,159,160,161,165,195,196,203,204,205,206,207,
208,216,217,218,219,220,221,223,225,228,229,230,232,233,235,236,237,238,239,
240,241,242,243,244,247,248,249,250,251,252,253,259,260,264,265,266,267,268,
269,270,271,272,273,276,277,278,279,280,281,282,283,284,287,292,293,294,295,
296,297,298,299,305,306,307,309,310,311,312,313,314,315,316,317,318,319,320,
321,323,324,325,326,328,331,333,334,335,336,337,338,339,341,343,344,345,346,
347,348,350,352,358,359,366,367,374,375,377,378,379,381,382,383,384,385,386,
387,388,389,390,391,396,397,401,402,407,408,409,410,411,412,413,414,423,428,
430,431,506,507,511,512,521,524,526,527,528,529,530,534,535,536,537,538,540,
541,548,549,550,551,552,555,559,562,591,593,596,601,602,603,604,605,606,608,
610,611,620,621,622,626,627,630,632,633,637,638,639,640,641,643,647,648,649,
650,651,652,653,655,656,661,662,665,666,667,669,670,672,673,675,676,677,678,
679,687,695,697,698,699,702,703,704,705,707,708,712,713,714,715,724,725,726,
730,738,739,749,751,752,757,758,762,763,764,766,767,768,773,776,777,778,779,
780,786,787,788,791,794,795,796,798,799,801,802,803,804,805,806,807,808,811,
812,813,814,816,818,819,820,821,832,833,835,840,845,853,960,961,968,969,981,
988,991,992,996,997,1001,1004,1016,1017,1019,1020,1023,1024,1025,1033,1035,
1037,1038,1039,1040,1041,1042,1044,1045,1046,1049,1050,1053,1056,1057,1062,
1063,1065,1067,1068,1070,1071,1074,1077,1079,1087,1090,1108,1109,1110,1114,
1117,1120,1121,1122,1125,1126,1127,1128,1129,1132,1134,1152,1153,1160,1161,
1164,1167,1169,1182,1183,1190,1194,1215,1219,1222,1223,1224,1322,1323,1325,
1340,1341,1342,1345,1347,1350,1351,1354,1355,1356,1363,1368,1369,1370,1374,
1375,1379,1381,1382,1391,1392,1415,1419,1429,1546,1550,1560,1564,1567,1568,
1574,1669],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,27,28,
29,30,31,32,33,34,35,36,47,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,
74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,97,98,99,100,101,102,103,104,
105,106,107,108,109,110,111,112,113,123,124,125,126,127,128,133,134,135,136,
137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,
156,160,162,165,194,203,204,205,206,207,208,216,217,218,219,220,221,222,223,
225,228,229,230,231,235,236,237,238,239,240,241,242,243,244,245,246,247,248,
249,250,251,257,258,261,262,263,264,265,266,267,268,269,270,271,272,273,276,
277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,
304,305,306,309,310,311,312,313,314,315,316,323,324,325,326,327,328,329,330,
331,332,333,334,335,336,337,374,375,376,377,378,379,380,381,382,383,384,385,
386,387,388,389,390,391,392,393,394,395,396,397,398,399,400,401,402,403,404,
405,406,407,408,409,410,411,412,413,414,420,428,429,432,433,523,524,525,526,
527,528,529,530,531,532,533,534,535,536,537,538,540,541,547,548,549,550,551,
552,553,554,555,556,557,558,559,560,561,562,563,564,565,573,617,619,622,627,
628,629,632,633,634,635,636,637,638,639,642,643,644,647,648,649,650,651,655,
656,661,662,663,664,665,666,667,670,675,676,679,680,681,688,695,696,698,699,
702,703,704,705,706,707,708,709,710,711,712,727,728,729,736,737,749,750,752,
767,768,769,770,771,772,773,774,775,776,778,786,787,788,789,790,791,792,793,
794,795,796,797,798,799,800,801,802,808,809,810,811,812,813,814,815,816,827,
828,829,830,831,832,838,839,853,959,960,962,964,965,989,990,991,992,996,1002,
1003,1016,1018,1019,1020,1031,1032,1034,1035,1036,1037,1038,1039,1040,1041,
1046,1047,1048,1051,1052,1053,1060,1061,1062,1063,1064,1065,1066,1070,1071,
1074,1076,1101,1102,1103,1112,1113,1114,1115,1117,1118,1119,1120,1121,1123,
1124,1125,1128,1129,1131,1133,1150,1151,1157,1165,1166,1167,1169,1189,1191,
1192,1193,1216,1217,1220,1225,1226,1321,1327,1328,1338,1339,1340,1345,1346,
1348,1349,1350,1355,1358,1364,1366,1367,1370,1372,1373,1379,1383,1384,1400,
1401,1416,1417,1428,1547,1549,1562,1563,1565,1566,1574,1670],[1,2,3,4,5,8,9,
10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,27,28,29,30,32,33,34,35,36,37,47,
49,53,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,
81,82,83,84,85,88,97,98,99,100,101,102,103,104,111,112,113,114,115,116,117,
118,119,120,121,122,124,125,126,127,128,133,134,135,136,137,138,139,140,143,
144,145,146,147,148,149,150,151,152,153,154,155,157,158,159,160,165,166,194,
195,196,203,204,205,206,207,208,216,217,218,219,220,221,223,225,228,229,230,
232,233,234,235,236,237,238,239,240,241,242,243,244,247,248,249,250,251,252,
253,254,258,264,265,266,267,268,269,270,271,272,273,276,277,278,279,280,281,
282,283,284,285,287,292,293,296,297,298,299,304,305,306,307,309,310,311,312,
313,314,315,316,317,318,319,320,321,322,323,324,325,326,328,331,335,336,337,
339,341,342,343,344,345,346,347,348,349,350,351,352,353,358,359,366,367,372,
373,374,375,377,378,379,381,382,383,384,385,386,387,388,389,390,391,396,397,
398,401,402,407,408,409,410,411,412,413,414,422,423,428,429,434,435,436,506,
507,508,511,512,517,521,522,523,524,526,527,528,529,530,534,535,536,537,538,
540,541,547,548,549,550,551,552,553,554,555,558,559,562,573,591,593,596,601,
602,603,604,605,606,607,608,609,610,611,612,617,619,622,627,630,631,632,633,
637,638,639,640,641,644,647,648,649,650,651,652,653,654,655,656,661,662,665,
666,668,669,670,673,675,676,679,680,686,687,695,698,699,702,703,704,705,706,
707,708,709,711,712,713,714,715,729,730,731,737,739,740,741,744,745,746,747,
748,749,750,752,757,758,759,762,763,764,765,766,767,768,769,773,776,778,779,
780,781,786,787,788,791,794,796,797,798,799,800,801,803,804,805,806,807,809,
810,813,814,815,816,818,819,820,821,831,833,835,837,838,845,846,853,856,959,
960,964,968,969,970,980,981,992,997,1002,1004,1005,1016,1019,1020,1023,1024,
1025,1031,1032,1035,1036,1037,1042,1043,1044,1045,1046,1047,1048,1049,1050,
1051,1052,1053,1056,1057,1063,1064,1066,1067,1068,1070,1071,1074,1083,1084,
1085,1086,1087,1088,1089,1090,1091,1092,1102,1103,1110,1111,1114,1115,1116,
1121,1125,1126,1127,1131,1134,1135,1148,1149,1150,1153,1154,1157,1160,1161,
1162,1167,1168,1169,1174,1175,1176,1177,1182,1183,1184,1189,1193,1195,1197,
1203,1205,1218,1220,1221,1222,1227,1236,1237,1312,1324,1325,1326,1328,1348,
1354,1356,1357,1358,1359,1364,1368,1369,1370,1372,1375,1376,1379,1403,1404,
1405,1406,1411,1412,1413,1414,1418,1437,1438,1452,1548,1565,1568,1575,1576,
1577,1579,1671],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,
27,28,29,30,31,32,33,34,35,36,47,53,57,58,59,60,61,62,63,64,65,66,67,68,69,70,
71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,97,98,99,100,101,102,
103,104,105,106,107,108,109,110,111,112,113,118,119,120,122,123,124,125,126,
127,128,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,
150,151,152,154,155,156,160,161,162,165,166,196,203,204,205,206,207,208,216,
217,218,219,220,221,222,223,225,228,229,230,231,233,234,236,237,238,239,240,
241,242,243,244,245,246,247,248,249,250,251,254,257,259,260,261,262,263,264,
265,266,267,268,269,272,273,276,277,278,279,280,281,282,283,284,285,286,287,
288,289,290,291,292,293,304,305,306,310,311,312,313,314,315,316,319,321,322,
323,324,325,326,327,328,329,330,331,332,335,336,337,338,341,342,343,347,348,
349,351,353,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,
388,389,390,391,392,393,394,395,396,397,398,399,400,401,402,403,404,405,406,
407,408,409,410,411,412,413,414,420,422,423,428,429,430,431,432,433,434,435,
436,437,438,439,440,507,508,517,522,524,525,526,527,528,529,530,531,532,533,
534,535,536,537,538,540,541,548,549,550,551,552,553,554,555,556,557,558,559,
560,561,562,563,564,565,593,596,604,607,608,609,612,620,621,622,626,627,628,
629,631,632,633,634,635,636,637,638,639,642,648,649,650,651,654,655,656,661,
662,663,664,665,666,668,670,672,675,676,677,678,680,681,686,687,688,696,697,
698,702,703,704,705,706,707,708,709,710,712,714,715,724,725,726,727,728,731,
736,738,740,741,745,746,747,748,749,750,751,752,759,763,764,765,767,768,769,
770,771,772,773,774,775,776,777,781,788,789,790,791,792,793,794,795,797,798,
800,802,804,805,806,807,808,812,813,814,815,816,827,828,829,830,837,839,840,
846,847,848,849,850,851,852,853,854,855,856,857,960,961,962,965,970,980,988,
989,990,992,1001,1003,1005,1017,1018,1020,1023,1025,1032,1033,1034,1035,1036,
1037,1040,1041,1042,1043,1047,1048,1049,1050,1053,1060,1061,1062,1065,1070,
1071,1074,1079,1083,1084,1088,1091,1101,1109,1110,1111,1113,1115,1118,1119,
1121,1122,1123,1124,1125,1128,1132,1133,1135,1148,1149,1151,1152,1154,1162,
1164,1165,1166,1167,1168,1169,1170,1171,1172,1173,1184,1190,1191,1192,1194,
1228,1229,1230,1231,1232,1233,1234,1235,1236,1237,1323,1324,1326,1327,1343,
1344,1346,1347,1349,1351,1359,1363,1366,1367,1370,1373,1374,1376,1379,1389,
1390,1393,1394,1420,1421,1422,1423,1451,1452,1559,1561,1566,1567,1571,1575,
1578,1672],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,
27,28,29,30,31,32,33,34,35,36,37,47,53,57,58,59,60,61,62,63,64,65,66,67,68,69,
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,
96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,117,
119,120,122,123,124,126,127,128,129,130,131,132,133,134,135,136,137,138,139,
140,141,142,143,144,145,147,153,155,156,157,158,159,160,162,165,196,203,204,
205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,
224,225,226,227,228,229,231,233,234,235,240,243,244,245,246,247,248,249,250,
251,252,254,257,261,262,263,264,265,266,268,272,273,276,277,278,279,280,281,
282,283,284,285,286,287,288,289,290,291,292,293,296,297,298,299,300,301,302,
303,304,305,306,307,308,309,314,315,316,318,321,322,327,329,333,334,336,337,
338,339,340,341,342,343,344,348,349,351,353,358,359,372,373,374,375,376,377,
378,379,380,381,382,383,386,387,388,389,390,391,392,393,394,395,396,397,398,
399,400,401,402,403,404,405,406,407,408,409,411,412,413,414,415,416,417,418,
419,420,421,422,423,428,429,432,433,507,508,512,517,522,524,525,526,528,529,
530,531,532,533,534,535,536,537,538,539,540,541,542,543,546,547,550,551,552,
553,554,555,556,557,558,559,560,561,562,563,564,565,566,567,568,569,570,571,
572,583,587,588,596,603,607,608,609,610,612,617,618,619,620,621,623,624,625,
628,629,631,632,633,634,635,636,638,639,640,641,642,644,645,646,647,649,652,
654,656,663,667,668,671,672,673,674,675,680,681,686,687,688,696,698,702,703,
704,705,706,708,709,710,715,727,728,731,736,740,741,750,759,764,765,767,768,
769,770,771,772,774,775,781,788,789,790,792,793,795,796,798,801,802,803,804,
805,806,807,808,809,810,811,815,816,831,833,834,835,836,839,846,953,961,962,
963,964,965,966,967,969,970,976,980,986,987,988,990,991,992,994,997,998,999,
1000,1003,1005,1018,1020,1025,1032,1034,1035,1036,1039,1040,1042,1044,1046,
1048,1049,1050,1051,1052,1062,1065,1067,1068,1069,1073,1074,1083,1084,1085,
1092,1101,1103,1104,1105,1106,1107,1110,1111,1113,1117,1119,1121,1122,1130,
1133,1135,1151,1154,1162,1165,1166,1184,1191,1192,1216,1217,1218,1225,1226,
1227,1315,1317,1318,1326,1327,1344,1347,1348,1350,1351,1354,1362,1371,1373,
1376,1383,1388,1389,1391,1393,1394,1402,1404,1410,1416,1417,1418,1543,1546,
1548,1549,1555,1558,1561,1673],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,18,19,
20,21,22,23,24,27,28,29,30,32,33,34,35,36,37,47,48,50,51,52,53,54,55,56,57,58,
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,
85,88,97,98,99,100,101,102,103,104,105,106,107,108,109,110,113,114,115,116,
117,118,119,120,121,122,124,125,126,127,128,133,134,135,136,137,138,139,140,
143,144,145,146,147,148,149,150,151,152,154,155,157,158,159,160,161,165,196,
197,198,199,200,201,202,203,204,205,206,207,208,216,217,218,219,220,221,223,
225,229,230,233,234,236,237,238,239,240,241,242,243,244,247,248,249,250,251,
252,254,259,260,265,266,267,268,269,272,273,276,277,278,279,280,281,282,285,
287,288,289,290,291,293,294,295,296,297,298,299,305,306,307,310,311,312,313,
314,315,316,317,318,319,320,321,322,327,329,330,332,335,336,337,338,339,341,
342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,360,361,362,
363,364,365,368,369,370,371,372,373,374,375,377,378,379,381,382,383,384,385,
386,387,388,389,390,391,392,393,394,395,398,399,400,401,402,407,408,409,410,
411,412,413,414,422,423,428,429,430,431,507,508,509,510,513,514,515,516,517,
518,519,520,521,522,524,526,527,528,529,530,533,534,535,536,537,538,540,541,
544,545,548,549,550,553,555,556,557,558,560,561,562,589,590,592,593,594,595,
596,597,598,599,600,601,602,603,604,605,606,607,608,609,612,613,614,615,616,
620,621,622,626,627,631,633,637,638,639,640,641,642,643,648,649,650,651,654,
655,656,657,658,659,660,663,664,668,669,670,672,673,675,676,677,678,680,686,
687,697,698,702,704,705,707,709,712,714,715,724,725,726,731,738,740,741,749,
751,752,759,763,764,765,769,773,776,777,781,788,791,794,795,796,797,798,799,
800,803,804,806,808,809,810,812,813,814,815,816,817,822,823,824,825,826,831,
832,833,835,840,846,952,960,961,962,970,977,978,979,980,981,982,983,984,985,
989,990,992,995,996,997,1001,1005,1017,1020,1023,1025,1033,1036,1037,1038,
1040,1041,1042,1043,1047,1048,1051,1052,1053,1054,1055,1058,1059,1062,1063,
1064,1067,1068,1070,1072,1074,1075,1078,1079,1080,1081,1082,1085,1086,1087,
1088,1091,1109,1111,1115,1118,1119,1122,1125,1129,1132,1135,1152,1154,1162,
1164,1167,1184,1190,1194,1215,1218,1219,1223,1224,1227,1316,1320,1323,1324,
1343,1346,1348,1349,1352,1353,1354,1355,1365,1370,1374,1376,1381,1385,1389,
1390,1394,1395,1401,1406,1407,1415,1418,1419,1544,1547,1548,1550,1551,1552,
1559,1674],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,
27,28,29,30,32,33,34,35,36,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,
65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,88,90,91,92,93,
94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,113,114,115,
116,117,118,119,120,121,122,124,125,126,127,128,133,134,135,136,137,138,139,
140,143,144,145,146,147,148,149,150,151,153,154,155,160,165,166,196,197,198,
199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,
218,219,220,221,223,224,225,226,227,229,230,233,234,235,236,237,239,240,241,
242,243,244,247,248,249,250,251,254,266,272,273,276,277,278,279,280,282,283,
285,288,289,290,291,293,294,295,304,305,306,309,311,312,313,314,315,316,317,
318,319,320,321,322,323,324,325,326,327,328,329,331,333,334,335,336,337,338,
341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,
360,361,362,363,364,365,368,369,370,371,372,373,374,375,377,378,379,381,382,
383,384,385,386,387,388,389,390,391,392,393,394,395,396,398,399,400,401,402,
407,408,409,410,411,412,413,414,422,423,428,429,434,435,436,507,508,509,510,
512,513,514,515,516,517,518,519,520,521,522,524,526,527,528,529,530,533,534,
535,536,537,538,540,541,542,543,544,545,546,547,549,550,552,553,554,556,557,
558,560,561,562,572,574,575,577,578,579,580,581,582,583,584,585,587,588,589,
590,592,594,595,596,597,598,599,600,601,602,603,604,605,606,607,608,609,610,
612,613,614,615,616,617,618,619,620,621,622,631,633,637,638,639,642,643,644,
647,649,650,651,652,654,655,656,657,658,659,660,661,662,663,665,666,667,668,
669,670,671,672,675,676,680,686,687,698,704,709,715,731,740,741,745,746,747,
748,759,764,765,769,781,788,795,796,797,798,799,801,804,805,808,811,815,816,
832,837,846,853,856,952,953,960,961,962,963,964,969,970,972,973,974,975,976,
977,978,979,980,981,982,983,984,985,986,990,991,992,994,995,996,1005,1020,
1025,1036,1038,1039,1040,1042,1044,1046,1048,1062,1063,1064,1070,1071,1072,
1073,1074,1075,1084,1085,1086,1087,1088,1092,1103,1117,1119,1122,1129,1135,
1148,1149,1154,1162,1168,1169,1184,1196,1198,1199,1200,1201,1202,1204,1206,
1236,1237,1315,1316,1318,1319,1320,1350,1355,1359,1362,1365,1376,1379,1380,
1381,1383,1389,1391,1394,1401,1404,1406,1424,1425,1426,1427,1452,1545,1551,
1555,1572,1573,1574,1575,1675],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,18,19,
20,21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,47,49,53,57,58,59,60,61,62,63,
65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,88,90,91,92,93,
94,95,96,97,98,99,100,101,102,103,104,111,112,113,114,115,116,117,118,119,120,
121,124,126,127,128,133,134,135,136,137,138,139,140,143,144,145,146,147,152,
153,155,160,165,166,195,196,203,205,206,207,208,209,210,211,212,213,214,215,
216,217,218,219,220,221,223,224,225,226,227,228,229,230,232,233,235,238,240,
244,247,248,249,250,251,253,264,265,267,268,270,271,272,273,276,277,278,279,
280,281,282,283,284,285,287,292,294,295,304,306,309,310,314,315,316,317,318,
319,320,322,327,329,330,332,333,334,335,336,337,338,341,343,344,345,346,347,
349,350,352,358,359,366,367,372,373,375,377,378,379,381,382,383,386,387,388,
389,391,396,397,398,401,402,407,408,409,411,412,413,414,423,428,434,435,436,
506,507,511,512,517,521,524,526,529,530,534,535,536,537,538,540,541,542,543,
546,547,550,551,552,553,554,559,562,572,576,583,586,587,588,591,593,601,602,
603,604,605,606,607,610,611,612,617,618,619,620,621,630,632,633,638,639,643,
644,647,648,649,652,653,654,656,663,664,667,669,670,671,672,675,679,687,695,
698,699,702,703,708,713,714,730,739,745,746,747,748,757,758,762,763,766,767,
768,778,779,780,786,787,788,794,795,797,798,799,800,802,804,806,807,809,810,
812,815,831,832,837,845,856,953,961,963,964,968,969,970,971,976,981,986,988,
989,990,991,992,993,994,996,1004,1016,1019,1020,1023,1024,1035,1038,1041,1042,
1043,1045,1047,1049,1051,1052,1062,1063,1065,1073,1074,1083,1086,1089,1102,
1118,1120,1121,1122,1128,1129,1134,1148,1149,1153,1160,1161,1168,1176,1177,
1182,1183,1195,1197,1201,1202,1204,1206,1222,1314,1315,1318,1340,1347,1348,
1349,1351,1355,1356,1359,1360,1361,1375,1381,1382,1384,1390,1392,1405,1411,
1412,1424,1425,1429,1543,1547,1554,1564,1571,1573,1576,1676],[1,2,3,4,5,8,9,
10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,27,28,29,30,32,33,34,35,36,37,47,
48,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,
76,77,78,79,80,81,82,83,84,85,88,97,98,99,100,101,102,103,104,105,106,107,108,
109,110,114,115,116,117,118,119,120,121,122,124,125,126,127,128,133,134,135,
136,137,138,139,140,143,144,145,146,147,148,149,150,151,152,153,154,155,157,
158,159,160,165,166,194,197,198,199,200,201,202,203,204,205,206,207,208,216,
217,218,219,220,221,223,225,228,229,230,235,236,237,238,239,240,241,242,243,
244,247,248,249,250,251,252,258,267,268,269,270,271,272,273,276,277,278,279,
280,281,282,288,289,290,291,294,295,296,297,298,299,304,305,306,307,309,310,
311,312,313,314,315,316,317,318,319,320,321,322,327,329,330,332,333,334,335,
336,337,339,344,345,346,347,348,349,350,351,352,353,354,355,356,357,360,361,
362,363,364,365,368,369,370,371,374,375,377,378,379,381,382,383,384,385,386,
387,388,389,390,391,392,393,394,395,399,400,401,402,407,408,409,410,411,412,
413,414,428,429,434,435,436,509,510,513,514,515,516,518,519,520,521,522,523,
524,526,527,528,529,530,533,534,535,536,537,538,540,541,544,545,547,548,549,
550,554,555,556,557,560,561,562,573,589,590,592,594,595,597,598,599,600,601,
602,603,604,605,606,607,608,609,613,614,615,616,617,619,622,627,632,633,637,
638,639,640,641,642,643,644,647,648,649,650,651,655,656,657,658,659,660,663,
664,667,668,669,670,673,675,676,679,680,695,698,699,705,706,707,711,712,729,
737,745,746,747,748,749,750,752,773,776,778,786,787,788,791,794,800,801,802,
803,804,805,806,807,808,811,812,815,816,817,822,823,824,825,826,833,835,837,
838,856,952,959,960,962,964,977,978,979,980,981,982,983,984,985,988,989,990,
991,992,995,996,997,1002,1016,1019,1020,1031,1032,1037,1039,1040,1041,1046,
1047,1048,1049,1050,1054,1055,1058,1059,1065,1066,1067,1068,1070,1072,1074,
1075,1089,1090,1091,1092,1117,1118,1119,1120,1121,1128,1131,1148,1149,1150,
1157,1167,1168,1174,1175,1189,1193,1196,1198,1199,1200,1203,1205,1220,1313,
1316,1320,1345,1346,1349,1350,1351,1352,1353,1354,1358,1359,1363,1364,1372,
1382,1383,1384,1393,1400,1403,1413,1414,1426,1427,1428,1544,1546,1553,1563,
1571,1572,1577,1677],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,
24,25,26,27,28,29,30,31,32,33,34,35,36,37,47,57,58,59,60,61,62,63,64,65,66,67,
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,
94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,123,
124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,
143,144,145,146,147,156,157,158,159,160,161,162,165,166,194,203,204,205,206,
207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,
226,227,228,229,230,231,243,244,245,246,247,248,249,250,251,252,257,258,259,
260,261,262,263,264,265,266,267,268,269,276,277,278,279,280,281,282,283,284,
285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,
304,305,306,307,308,335,336,337,338,339,340,374,375,376,377,378,379,380,381,
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,
420,421,428,429,430,431,432,433,434,435,436,437,438,439,440,523,524,525,526,
527,528,529,530,531,532,533,534,535,536,537,538,539,540,541,542,543,546,547,
548,549,550,551,552,553,554,555,556,557,558,559,560,561,562,563,564,565,566,
567,568,569,570,571,572,573,617,618,619,620,621,622,623,624,625,626,627,628,
629,632,633,634,635,636,637,638,639,640,641,642,643,644,645,646,670,671,672,
673,674,675,677,678,679,680,681,688,689,690,695,696,697,702,703,704,705,706,
707,708,709,710,711,712,724,725,726,727,728,729,736,737,738,745,746,747,748,
749,750,751,752,767,768,769,770,771,772,773,774,775,776,777,778,789,790,791,
792,793,794,795,796,797,798,799,800,801,802,803,832,833,834,835,836,837,838,
839,840,847,848,849,850,851,852,854,855,856,857,953,954,958,959,960,961,962,
963,964,965,966,967,986,987,996,997,998,999,1000,1001,1002,1003,1010,1011,
1012,1016,1017,1018,1031,1032,1033,1034,1035,1036,1037,1038,1062,1063,1064,
1065,1066,1067,1068,1069,1073,1074,1076,1101,1102,1103,1104,1105,1106,1107,
1112,1113,1114,1115,1128,1129,1130,1131,1132,1133,1138,1139,1147,1148,1149,
1150,1151,1152,1157,1164,1165,1166,1167,1168,1170,1171,1172,1173,1174,1175,
1189,1190,1191,1192,1193,1194,1201,1202,1203,1204,1205,1206,1207,1214,1215,
1219,1223,1224,1228,1229,1230,1231,1232,1233,1234,1235,1317,1318,1321,1327,
1328,1333,1337,1338,1339,1340,1354,1355,1359,1371,1372,1373,1374,1388,1400,
1401,1402,1410,1413,1414,1415,1419,1420,1421,1422,1423,1424,1425,1432,1433,
1434,1439,1442,1445,1446,1447,1450,1451,1541,1550,1558,1562,1573,1577,1578,
1582,1583,1584,1585,1678],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,18,19,20,21,
22,23,24,27,28,29,30,31,32,33,34,35,36,47,48,49,50,51,52,53,54,55,56,57,58,59,
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,
86,87,88,89,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,114,
115,116,117,118,119,120,121,122,123,124,125,126,127,128,133,134,135,136,137,
138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,
160,161,162,163,164,165,166,195,196,197,198,199,200,201,202,203,204,205,206,
207,208,216,217,218,219,220,221,222,223,225,229,230,231,232,233,235,236,237,
238,239,240,241,242,243,244,245,246,247,248,249,250,251,253,255,256,257,259,
260,261,262,263,264,265,266,267,268,269,270,271,274,275,276,277,278,279,280,
281,282,283,284,286,287,288,289,290,291,292,293,294,295,305,306,309,310,311,
312,313,314,315,316,317,318,319,320,321,322,333,334,335,336,337,338,341,343,
344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,
363,364,365,366,367,368,369,370,371,374,375,376,377,378,379,380,381,382,383,
384,385,386,387,388,389,390,391,392,393,394,395,396,397,399,400,401,402,403,
404,405,406,407,408,409,410,411,412,413,414,420,423,424,425,426,427,428,430,
431,432,433,434,435,436,437,438,439,440,506,507,509,510,511,512,513,514,515,
516,518,519,520,521,522,524,525,526,527,528,529,530,531,532,533,534,535,536,
537,538,540,541,544,545,548,549,550,551,552,555,556,557,559,560,561,562,563,
564,565,589,590,591,592,593,594,595,596,597,598,599,600,601,602,603,604,605,
606,607,608,609,610,611,613,614,615,616,620,621,622,626,627,628,629,630,633,
634,635,636,637,638,639,642,643,647,648,649,650,651,652,653,655,656,657,658,
659,660,667,668,669,670,672,675,676,677,678,679,681,682,683,684,685,687,688,
691,692,693,694,696,697,699,700,701,702,703,704,705,707,708,710,712,713,714,
715,716,717,718,719,720,721,722,723,724,725,726,727,728,730,732,733,734,735,
736,738,739,742,743,745,746,747,748,749,751,752,753,754,755,756,757,758,760,
761,762,763,764,766,767,768,770,771,772,773,774,775,776,777,779,780,782,783,
784,785,786,787,789,790,791,792,793,794,796,799,801,805,807,808,809,810,811,
812,813,814,816,831,837,839,840,841,842,843,844,845,847,848,849,850,851,852,
854,855,856,857,952,955,956,957,960,961,962,965,968,969,977,978,979,980,981,
982,983,984,985,991,992,995,996,1001,1003,1004,1006,1007,1008,1009,1013,1014,
1015,1017,1018,1019,1021,1022,1023,1024,1025,1026,1027,1028,1029,1030,1033,
1034,1035,1037,1039,1040,1041,1044,1045,1046,1051,1052,1053,1070,1072,1074,
1075,1077,1078,1079,1080,1081,1082,1087,1090,1108,1109,1110,1114,1117,1120,
1125,1132,1133,1134,1136,1137,1140,1141,1142,1143,1144,1145,1146,1148,1149,
1151,1152,1153,1155,1156,1158,1159,1160,1161,1163,1164,1165,1166,1167,1168,
1170,1171,1172,1173,1176,1177,1178,1179,1180,1181,1182,1183,1185,1186,1187,
1188,1190,1191,1192,1194,1195,1196,1197,1198,1199,1200,1208,1209,1210,1211,
1212,1213,1216,1217,1225,1226,1228,1229,1230,1231,1232,1233,1234,1235,1316,
1320,1322,1323,1325,1334,1335,1336,1341,1342,1345,1348,1350,1359,1370,1373,
1374,1375,1377,1378,1385,1391,1392,1395,1407,1411,1412,1416,1417,1420,1421,
1422,1423,1426,1427,1430,1431,1435,1436,1440,1441,1443,1444,1448,1449,1451,
1542,1549,1552,1560,1572,1576,1578,1580,1581,1586,1587,1679],[1,2,3,4,5,6,7,8,
9,10,12,13,14,15,16,17,18,19,20,21,25,26,27,28,29,30,43,44,57,58,60,62,65,71,
72,73,74,75,76,77,78,79,80,83,84,85,88,90,91,92,93,94,95,96,97,98,99,167,169,
170,171,172,173,174,176,177,178,180,181,203,205,209,210,211,212,213,214,215,
216,217,218,219,220,223,224,225,226,227,472,474,478,479,480,490,491,541,542,
543,546,858,859,865,866,867,868,869,870,872,873,874,875,876,953,1263,1265,
1454,1455,1466,1468,1469,1680],[1,2,5,6,7,8,25,26,27,33,43,44,47,88,90,124,
143,161,167,169,170,171,172,173,174,180,181,194,224,259,260,335,338,409,471,
490,491,496,572,573,725,858,859,864,869,870,871,872,873,884,941,954,1275,1279,
1453,1455,1467,1471,1472,1473,1681],[1,2,5,6,7,8,27,33,37,41,42,43,47,88,124,
143,157,166,167,169,172,180,187,189,194,335,339,409,434,441,465,466,471,501,
573,745,835,858,862,864,871,915,921,1205,1238,1251,1297,1453,1592,1682],[1,2,
3,4,5,6,7,8,9,10,11,12,27,28,29,30,32,33,39,40,41,42,43,45,47,80,81,82,88,97,
98,99,100,101,124,125,126,127,128,143,147,160,167,169,172,180,182,183,184,185,
186,187,189,191,194,221,225,228,251,267,268,304,305,306,335,374,375,409,410,
411,412,413,414,441,443,446,447,465,466,471,481,492,493,499,500,501,503,504,
523,538,573,619,622,627,750,752,778,858,861,864,871,878,885,886,887,888,915,
921,931,943,1157,1238,1240,1241,1251,1267,1268,1282,1285,1293,1297,1302,1453,
1456,1537,1592,1598,1683],[1,2,5,6,7,8,27,31,33,41,42,43,44,47,88,89,123,124,
143,156,162,167,169,172,180,187,188,189,194,335,409,420,433,441,442,465,466,
471,491,501,573,681,832,858,860,864,871,915,920,921,1076,1238,1251,1275,1297,
1453,1521,1592,1595,1684],[1,3,5,6,7,14,16,18,25,29,31,34,37,39,41,42,44,45,
48,49,74,86,92,108,112,116,129,131,141,148,152,159,163,167,170,171,173,176,
178,181,185,188,190,209,296,300,325,330,355,367,406,416,426,441,443,452,455,
460,462,467,468,470,478,485,486,502,567,575,576,682,820,823,827,859,861,865,
866,874,907,909,917,925,1093,1239,1244,1246,1252,1253,1276,1277,1291,1454,
1524,1527,1593,1596,1597,1685],[1,3,5,6,7,14,25,29,31,37,38,39,41,42,44,45,86,
92,129,131,159,167,168,173,179,185,188,416,441,442,443,444,449,464,470,478,
483,860,861,862,892,917,948,950,1242,1309,1311,1606,1686],[1,3,5,6,7,13,26,29,
31,37,38,39,41,42,44,45,87,91,129,132,158,167,168,174,179,185,188,415,441,442,
443,444,449,463,469,479,482,860,861,862,891,918,949,950,1242,1310,1311,1607,
1687],[1,2,3,4,5,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,
28,29,30,32,33,43,47,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,
76,77,78,79,80,81,82,83,84,85,88,90,91,92,93,94,95,96,97,98,99,100,101,102,
103,104,124,125,126,127,128,133,134,135,143,144,145,146,147,160,161,165,169,
171,177,178,180,194,203,204,205,206,207,208,209,210,211,212,213,214,215,216,
217,218,219,220,221,223,224,225,226,227,228,229,230,243,244,247,248,251,258,
259,260,267,268,269,281,282,304,305,306,335,336,337,338,374,375,377,378,379,
381,382,383,384,385,386,387,388,389,390,391,401,402,407,408,409,410,411,412,
413,414,428,429,430,431,471,475,477,523,524,526,527,528,529,530,534,535,536,
537,538,540,541,542,543,546,547,548,549,550,554,555,562,572,573,617,618,619,
620,621,622,626,627,632,633,637,644,670,671,672,675,677,678,679,680,689,690,
695,697,705,706,707,711,712,724,725,726,729,737,738,749,750,751,752,773,776,
777,778,791,794,838,840,866,867,868,870,871,953,954,958,959,960,961,963,964,
986,1001,1002,1010,1011,1012,1016,1017,1031,1032,1033,1037,1073,1074,1131,
1132,1138,1139,1147,1150,1152,1157,1164,1167,1189,1190,1193,1194,1207,1214,
1264,1279,1280,1318,1333,1337,1372,1374,1432,1466,1472,1519,1541,1612,1688],[
1,2,3,4,5,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,
30,32,33,43,47,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,
78,79,80,81,82,83,84,85,88,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,
124,125,126,127,128,133,134,135,143,144,145,146,147,160,161,165,169,170,175,
176,180,194,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,
219,220,221,223,224,225,226,227,228,229,230,243,244,247,248,251,258,259,260,
267,268,269,281,282,304,305,306,335,336,337,338,374,375,377,378,379,381,382,
383,384,385,386,387,388,389,390,391,401,402,407,408,409,410,411,412,413,414,
428,429,430,431,471,472,473,474,476,490,495,496,523,524,526,527,528,529,530,
534,535,536,537,538,540,541,542,543,546,547,548,549,550,554,555,562,572,573,
617,618,619,620,621,622,626,627,632,633,637,644,670,671,672,675,677,678,679,
680,689,690,695,697,705,706,707,711,712,724,725,726,729,737,738,749,750,751,
752,773,776,777,778,791,794,838,840,865,871,872,876,877,937,941,953,954,958,
959,960,961,963,964,986,1001,1002,1010,1011,1012,1016,1017,1031,1032,1033,
1037,1073,1074,1131,1132,1138,1139,1147,1150,1152,1157,1164,1167,1189,1190,
1193,1194,1207,1214,1259,1260,1263,1318,1333,1337,1372,1374,1432,1468,1473,
1474,1506,1507,1535,1541,1689],[1,2,3,4,5,7,8,9,10,11,12,13,14,15,16,17,18,19,
20,21,22,23,24,27,28,29,30,31,32,33,34,35,43,45,47,48,49,50,51,52,53,54,55,56,
57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,
84,85,86,87,88,89,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,
112,114,115,116,117,118,121,123,124,126,127,128,133,134,135,136,137,140,141,
142,143,144,145,147,148,149,150,151,152,153,154,156,160,162,163,164,165,169,
175,176,177,178,179,182,195,196,197,198,199,200,201,202,203,205,206,207,208,
216,217,218,219,220,221,222,223,225,229,231,232,233,235,236,237,238,239,241,
242,244,245,246,247,248,249,251,253,255,256,257,261,262,263,264,265,270,271,
274,275,276,277,280,283,284,286,287,288,289,290,291,292,309,310,311,312,313,
317,318,319,320,341,343,344,345,346,347,350,352,354,355,356,357,358,359,360,
361,362,363,364,365,366,367,368,369,370,371,375,376,377,378,379,380,381,382,
383,386,387,388,389,391,392,393,394,395,396,397,399,400,401,402,403,404,405,
406,407,408,409,411,412,413,414,420,423,424,425,426,427,428,432,433,471,472,
473,475,477,481,482,483,484,485,486,487,488,489,494,495,497,498,506,507,509,
510,511,512,513,514,515,516,518,519,520,521,524,525,526,529,530,531,532,533,
534,535,536,537,538,540,541,544,545,551,552,556,557,559,560,561,563,564,565,
589,590,591,592,593,594,595,597,601,602,603,604,605,606,610,611,613,614,615,
616,628,629,630,634,635,636,638,642,647,648,650,651,652,653,655,657,658,659,
660,669,675,676,679,681,682,683,684,685,687,688,691,692,693,694,696,699,700,
701,702,703,708,710,713,714,716,717,718,719,720,721,722,723,727,728,730,732,
733,734,735,736,739,742,743,753,754,755,756,757,758,760,761,762,763,766,767,
768,770,771,772,774,775,779,780,782,783,784,785,786,787,789,790,792,793,839,
841,842,843,844,845,868,878,879,880,881,882,883,936,938,939,940,952,955,956,
957,962,965,968,969,977,979,981,982,983,984,985,1003,1004,1006,1007,1008,1009,
1013,1014,1015,1018,1019,1021,1022,1023,1024,1026,1027,1028,1029,1030,1034,
1035,1070,1072,1074,1075,1133,1134,1136,1137,1140,1141,1142,1143,1144,1145,
1146,1151,1153,1155,1156,1158,1159,1160,1161,1163,1165,1166,1178,1179,1180,
1181,1182,1183,1185,1186,1187,1188,1191,1192,1208,1209,1210,1211,1212,1213,
1258,1260,1261,1262,1264,1266,1320,1334,1335,1336,1373,1375,1377,1378,1430,
1431,1470,1475,1476,1477,1503,1504,1505,1508,1533,1534,1542,1690],[1,2,3,4,5,
6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,32,33,44,
47,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,
82,83,84,85,88,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,124,125,126,
127,128,133,134,135,143,144,145,146,147,160,161,165,172,173,174,181,194,203,
204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,223,
224,225,226,227,228,229,230,243,244,247,248,251,258,259,260,267,268,269,281,
282,304,305,306,335,336,337,338,374,375,377,378,379,381,382,383,384,385,386,
387,388,389,390,391,401,402,407,408,409,410,411,412,413,414,428,429,430,431,
478,479,480,491,523,524,526,527,528,529,530,534,535,536,537,538,540,541,542,
543,546,547,548,549,550,554,555,562,572,573,617,618,619,620,621,622,626,627,
632,633,637,644,670,671,672,675,677,678,679,680,689,690,695,697,705,706,707,
711,712,724,725,726,729,737,738,749,750,751,752,773,776,777,778,791,794,838,
840,864,869,873,874,875,884,953,954,958,959,960,961,963,964,986,1001,1002,
1010,1011,1012,1016,1017,1031,1032,1033,1037,1073,1074,1131,1132,1138,1139,
1147,1150,1152,1157,1164,1167,1189,1190,1193,1194,1207,1214,1265,1275,1281,
1288,1318,1333,1337,1372,1374,1432,1467,1469,1471,1532,1541,1616,1691],[1,2,3,
4,5,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,32,
33,35,36,40,43,47,53,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,
76,77,78,79,80,81,82,83,84,85,88,90,91,92,93,94,95,96,97,98,99,100,101,102,
103,104,111,113,114,117,119,120,122,124,126,127,128,133,134,135,136,138,139,
143,144,145,147,153,155,160,165,169,171,177,178,183,196,203,204,205,206,207,
208,209,210,211,212,213,214,215,216,217,218,219,220,221,223,224,225,226,227,
229,233,234,235,240,243,244,247,248,250,251,254,266,272,273,276,278,279,282,
283,285,293,304,306,309,314,318,321,322,327,329,333,334,336,337,338,341,342,
343,344,348,349,351,353,358,359,372,373,374,375,377,378,379,381,382,383,386,
387,388,389,390,391,396,398,401,402,407,408,409,411,412,413,414,422,423,428,
429,447,454,458,471,475,477,507,508,512,517,522,524,526,528,529,530,534,535,
536,537,538,540,541,542,543,546,547,550,552,553,554,558,562,572,583,587,588,
596,603,607,608,609,610,612,617,618,619,620,621,631,633,639,644,647,649,652,
654,663,667,668,671,672,675,680,686,687,698,704,709,715,731,740,741,759,764,
765,769,781,788,796,798,801,804,805,808,811,816,846,866,867,868,870,885,906,
953,961,963,964,969,970,976,980,986,990,991,994,1005,1020,1025,1036,1039,1040,
1042,1044,1046,1073,1074,1084,1085,1092,1103,1117,1119,1135,1154,1162,1184,
1247,1248,1250,1264,1279,1280,1315,1318,1350,1362,1376,1383,1389,1391,1404,
1466,1486,1523,1555,1610,1612,1692],[1,2,3,4,5,7,8,9,10,11,12,13,14,15,16,17,
18,19,20,21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,39,40,43,47,49,53,57,58,
59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,
88,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,111,112,113,114,115,116,
117,118,119,120,121,124,126,127,128,133,134,135,136,137,138,140,143,144,145,
147,152,153,155,160,165,169,171,177,178,184,195,196,203,205,206,207,208,209,
210,211,212,213,214,215,216,217,218,219,220,221,223,224,225,226,227,229,232,
233,235,238,240,244,247,248,249,251,253,264,265,270,271,276,277,279,280,282,
283,284,285,287,292,304,306,309,310,314,317,318,319,320,322,327,329,330,332,
333,334,336,337,338,341,343,344,345,346,347,349,350,352,358,359,366,367,372,
373,375,377,378,379,381,382,383,386,387,388,389,391,396,397,398,401,402,407,
408,409,411,412,413,414,423,428,446,447,454,455,458,471,475,477,506,507,511,
512,517,521,524,526,529,530,534,535,536,537,538,540,541,542,543,546,547,550,
551,552,553,554,559,562,572,576,583,586,587,588,591,593,601,602,603,604,605,
606,607,610,611,612,617,618,619,620,621,630,633,638,644,647,648,649,652,653,
654,663,664,667,669,671,672,675,679,687,699,702,703,708,713,714,730,739,757,
758,762,763,766,767,768,779,780,786,787,797,799,800,806,807,812,815,845,866,
867,868,870,886,901,953,961,963,964,968,969,970,971,976,981,986,989,990,991,
993,994,1004,1019,1023,1024,1035,1041,1043,1045,1047,1073,1074,1083,1086,1089,
1102,1118,1120,1134,1153,1160,1161,1182,1183,1246,1247,1248,1249,1250,1264,
1279,1280,1314,1315,1318,1349,1360,1361,1375,1384,1390,1392,1405,1466,1487,
1522,1554,1609,1610,1612,1693],[1,2,3,4,5,7,8,9,10,11,12,13,14,15,16,17,18,19,
20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,37,39,42,45,48,49,50,52,54,55,56,
57,58,60,62,63,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,82,83,84,85,86,87,
88,89,90,91,92,93,94,95,96,97,98,99,100,102,103,105,106,107,108,109,110,111,
112,114,115,116,117,118,121,123,124,127,128,129,130,131,132,133,136,137,140,
141,142,144,148,149,150,151,152,154,156,157,158,159,160,163,169,171,177,178,
185,195,197,199,200,201,203,205,208,209,210,211,212,213,214,215,216,217,218,
219,220,222,223,224,225,226,227,231,232,236,237,238,239,241,242,245,246,247,
249,252,256,262,263,265,270,271,274,275,277,280,283,284,286,287,288,289,291,
292,296,297,298,299,300,301,302,303,307,308,309,310,311,313,317,318,319,323,
324,325,326,328,330,331,332,339,340,341,344,345,346,347,350,352,354,355,356,
357,360,361,362,363,364,365,366,367,368,369,370,371,376,379,380,382,388,392,
393,394,395,396,397,399,400,401,403,404,405,406,407,413,415,416,417,418,419,
420,421,426,427,446,455,459,460,465,468,481,486,487,488,506,509,510,511,513,
514,515,516,518,519,520,521,525,531,532,533,535,539,541,542,543,544,546,551,
556,559,561,563,564,565,566,567,568,569,570,571,574,575,576,577,578,579,580,
581,582,584,585,586,589,591,597,602,605,610,611,613,615,623,624,625,629,630,
634,635,636,640,641,645,646,648,651,653,659,660,661,662,664,665,666,673,674,
676,682,685,700,716,717,719,720,722,723,733,734,743,754,755,756,758,760,761,
763,766,767,770,771,775,779,782,783,784,786,789,792,817,820,821,823,826,827,
828,842,844,866,867,868,870,887,907,908,953,965,966,967,968,971,972,973,974,
975,984,987,989,993,997,998,999,1000,1007,1022,1027,1028,1030,1056,1058,1059,
1060,1071,1075,1093,1095,1096,1100,1124,1127,1136,1155,1159,1160,1163,1165,
1179,1181,1185,1188,1246,1249,1253,1254,1255,1257,1266,1277,1278,1314,1317,
1319,1352,1367,1369,1378,1386,1397,1398,1408,1466,1489,1527,1556,1609,1611,
1613,1694],[1,2,3,4,5,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,
26,27,28,29,30,31,32,33,34,35,36,37,40,42,45,48,50,52,53,54,55,56,57,58,59,60,
62,63,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,82,83,84,85,86,87,88,89,90,
91,92,93,94,95,96,97,98,99,101,102,103,104,105,106,107,108,109,110,111,112,
113,114,115,116,117,118,119,120,121,123,124,126,128,129,130,131,132,133,135,
136,137,138,140,141,142,144,148,149,150,151,153,154,155,156,157,158,159,160,
164,169,171,177,178,186,196,197,199,200,201,203,205,208,209,210,211,212,213,
214,215,216,217,218,219,220,222,223,224,225,226,227,231,233,235,236,237,239,
240,241,242,245,246,247,249,252,255,261,263,264,270,271,274,275,276,279,280,
283,284,285,286,287,288,289,290,292,296,297,298,299,300,301,302,303,307,308,
309,310,312,313,314,317,318,320,322,323,324,325,326,327,328,329,331,333,334,
339,340,341,343,344,345,346,347,349,350,352,354,355,356,357,358,359,360,361,
362,363,364,365,368,369,370,371,372,373,376,379,380,381,387,389,392,393,394,
395,396,397,398,399,400,401,403,404,405,406,408,414,415,416,417,418,419,420,
421,424,425,447,454,458,459,460,465,468,481,486,487,488,507,509,510,512,513,
514,515,516,517,518,519,520,521,525,531,532,533,534,539,541,542,543,544,546,
552,553,557,559,561,563,564,565,566,567,568,569,570,571,574,575,577,578,579,
580,581,582,583,584,585,587,588,593,594,595,603,606,607,610,611,612,613,616,
623,624,625,628,630,634,635,636,640,641,645,646,647,649,650,652,654,658,660,
661,662,663,665,666,667,673,674,676,683,684,701,716,717,718,720,721,722,732,
735,742,753,754,755,757,760,761,762,766,768,770,772,774,780,782,783,785,787,
790,793,818,819,822,824,825,829,830,841,843,866,867,868,870,888,910,913,953,
965,966,967,969,970,972,973,974,975,976,982,987,990,991,994,997,998,999,1000,
1006,1021,1026,1029,1030,1054,1055,1057,1061,1071,1075,1094,1097,1098,1099,
1123,1126,1137,1156,1158,1161,1163,1166,1178,1180,1186,1187,1247,1248,1250,
1253,1254,1255,1257,1266,1277,1278,1315,1317,1319,1353,1366,1368,1377,1387,
1396,1399,1409,1466,1488,1526,1557,1610,1611,1613,1695],[1,2,3,4,5,7,8,9,10,
11,12,13,14,15,16,17,18,19,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,37,42,
43,47,57,58,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,
83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,
106,107,108,109,110,111,112,123,124,126,127,128,129,130,131,132,133,134,136,
137,140,141,142,143,144,145,147,156,157,158,159,160,162,169,171,177,178,187,
203,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,
223,224,225,226,227,229,231,244,245,246,247,248,249,251,252,257,261,262,263,
264,265,276,277,280,282,283,284,286,287,288,289,290,291,292,296,297,298,299,
300,301,302,303,304,306,307,308,336,337,338,339,340,375,376,377,378,379,380,
381,382,383,386,387,388,391,392,393,394,395,396,397,399,400,401,402,403,404,
405,406,407,408,409,411,412,413,414,415,416,417,418,419,420,421,432,433,459,
460,465,468,471,475,477,524,525,526,529,530,531,532,533,534,535,536,537,538,
539,540,541,542,543,546,547,550,551,552,554,556,557,559,560,561,562,563,564,
565,566,567,568,569,570,571,572,617,618,619,620,621,623,624,625,628,629,633,
634,635,636,638,640,641,642,644,645,646,671,672,673,674,675,681,688,696,702,
703,708,710,727,728,736,767,768,770,771,772,774,775,789,790,792,793,803,833,
834,835,836,839,866,867,868,870,896,915,953,961,962,963,964,965,966,967,986,
987,997,998,999,1000,1003,1018,1034,1035,1067,1068,1069,1073,1074,1104,1105,
1106,1107,1130,1133,1151,1165,1166,1191,1192,1253,1254,1255,1257,1264,1279,
1280,1317,1318,1354,1371,1373,1388,1402,1410,1466,1482,1528,1558,1611,1612,
1696],[1,2,3,4,5,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,23,24,25,26,27,28,
29,30,32,33,36,43,47,57,58,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,
78,79,80,81,82,83,84,85,88,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,
124,126,127,128,133,134,138,139,143,144,145,147,160,169,171,177,178,191,203,
205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,223,224,
225,226,227,228,229,244,247,248,250,251,278,279,281,282,304,306,315,316,336,
337,338,375,377,378,379,381,382,383,386,387,388,391,401,402,407,408,409,411,
412,413,414,471,475,477,524,526,529,530,534,535,536,537,538,540,541,542,543,
546,547,550,554,562,572,617,618,619,620,621,632,633,639,644,656,671,672,675,
802,804,807,809,810,831,866,867,868,870,931,953,961,963,964,986,988,992,1049,
1051,1052,1065,1073,1074,1264,1279,1280,1318,1348,1351,1466,1512,1543,1612,
1697],[1,2,3,4,5,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,23,24,25,26,27,28,
29,30,32,33,36,43,47,57,58,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,
78,79,80,81,82,83,84,85,88,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,
124,126,127,128,133,134,138,139,143,144,145,146,147,160,166,169,171,177,178,
189,203,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,
223,224,225,226,227,229,230,244,247,248,250,251,278,279,282,294,295,304,306,
335,336,337,338,375,377,378,379,381,382,383,386,387,388,391,401,402,407,408,
409,411,412,413,414,434,435,436,471,475,477,524,526,529,530,534,535,536,537,
538,540,541,542,543,546,547,550,554,562,572,617,618,619,620,621,633,639,643,
644,670,671,672,675,745,746,747,748,795,798,799,832,837,856,866,867,868,870,
921,924,953,961,963,964,986,996,1038,1062,1063,1073,1074,1148,1149,1168,1201,
1202,1204,1206,1264,1279,1280,1318,1355,1359,1424,1425,1466,1513,1530,1573,
1612,1698],[1,2,3,4,5,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,23,24,25,26,
27,28,29,30,32,33,34,35,43,45,47,48,50,51,52,54,55,56,57,58,60,61,62,63,65,66,
67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,88,90,91,92,93,94,95,
96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,114,115,116,117,118,
121,124,126,127,128,133,134,136,137,140,143,144,145,147,148,149,150,151,154,
160,169,171,177,178,182,197,198,199,200,201,202,203,205,206,207,208,209,210,
211,212,213,214,215,216,217,218,219,220,221,223,224,225,226,227,229,236,237,
239,241,242,244,247,248,249,251,276,277,280,282,288,289,290,291,304,306,311,
312,313,317,318,319,320,323,324,325,326,328,331,336,337,338,344,345,346,347,
350,352,354,355,356,357,360,361,362,363,364,365,368,369,370,371,375,377,378,
379,381,382,383,386,387,388,391,392,393,394,395,399,400,401,402,407,408,409,
411,412,413,414,471,475,477,481,486,487,488,509,510,513,514,515,516,518,519,
520,521,524,526,529,530,533,534,535,536,537,538,540,541,542,543,544,545,546,
547,550,554,556,557,560,561,562,572,574,575,577,578,579,580,581,582,584,585,
589,590,592,594,595,597,601,602,603,604,605,606,613,614,615,616,617,618,619,
620,621,633,638,642,644,650,651,655,657,658,659,660,661,662,665,666,669,671,
672,675,676,853,866,867,868,870,878,882,883,952,953,961,962,963,964,972,973,
974,975,977,979,981,982,983,984,985,986,1070,1071,1072,1073,1074,1075,1169,
1264,1266,1277,1278,1279,1280,1318,1319,1320,1379,1380,1466,1470,1545,1612,
1613,1699],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,25,26,27,28,29,30,32,33,34,35,
36,37,44,47,80,81,82,83,84,85,88,90,91,92,93,94,95,96,97,98,99,100,101,102,
124,125,126,127,128,136,137,138,139,140,141,142,143,144,145,146,147,157,158,
159,160,161,166,172,173,174,190,194,221,223,224,225,226,227,228,229,230,245,
246,249,250,251,252,259,260,261,262,263,267,268,269,276,277,278,279,280,286,
300,301,302,303,304,305,306,307,335,336,337,338,339,374,375,377,378,379,409,
410,411,412,413,414,430,431,434,435,436,478,479,480,491,523,524,538,546,572,
573,617,618,619,620,621,622,626,627,636,638,639,645,646,670,671,672,673,689,
690,696,697,711,712,724,725,726,738,745,748,749,750,751,752,777,778,792,793,
795,800,801,833,835,837,840,847,848,864,869,884,925,926,928,954,986,998,1012,
1018,1031,1062,1066,1068,1129,1130,1147,1149,1152,1157,1174,1194,1201,1202,
1205,1214,1215,1223,1228,1235,1265,1275,1281,1288,1333,1338,1388,1413,1415,
1423,1425,1467,1515,1529,1531,1583,1616,1700],[1,2,3,4,5,6,8,9,10,11,12,13,14,
15,25,26,27,28,29,30,31,32,33,37,41,44,47,80,81,82,83,84,85,86,87,88,89,90,91,
92,93,94,95,96,97,98,99,100,101,102,123,124,125,126,127,128,129,130,131,132,
143,144,145,146,147,156,157,158,159,160,161,162,166,172,173,174,188,194,221,
222,223,224,225,226,227,228,229,230,231,251,252,257,259,260,267,268,269,304,
305,306,307,308,335,336,337,338,339,340,374,375,376,377,378,379,380,409,410,
411,412,413,414,415,416,417,418,419,420,421,430,431,432,433,434,435,436,437,
438,439,440,466,469,470,478,479,480,491,523,524,525,538,539,546,572,573,617,
618,619,620,621,622,623,624,625,626,627,670,671,672,673,674,681,688,689,690,
697,711,712,724,725,726,736,738,745,748,749,750,751,752,777,778,832,833,834,
835,836,837,840,849,850,851,852,854,855,857,864,869,884,917,918,920,954,986,
987,1003,1012,1031,1038,1068,1069,1076,1104,1105,1106,1107,1112,1147,1149,
1152,1157,1170,1173,1174,1194,1204,1205,1206,1214,1219,1224,1229,1230,1233,
1234,1251,1256,1265,1275,1281,1288,1303,1321,1333,1410,1413,1419,1421,1424,
1433,1442,1446,1447,1467,1490,1521,1536,1584,1616,1617,1701],[1,2,3,4,5,7,8,9,
10,11,12,13,14,16,17,18,19,20,21,22,23,24,27,29,30,32,33,34,35,36,39,40,42,43,
45,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,74,76,80,
81,82,83,97,100,102,103,105,107,109,110,111,112,114,115,116,117,118,119,120,
121,122,123,124,125,126,127,128,133,136,137,138,139,140,142,143,144,145,146,
149,151,152,153,154,156,160,161,162,164,166,175,176,180,182,183,184,185,186,
187,189,191,195,198,199,200,201,202,203,204,206,207,208,216,229,230,231,232,
235,236,238,239,245,247,249,250,255,257,259,261,262,263,264,265,270,271,274,
275,276,280,283,286,287,288,289,290,291,292,294,295,309,311,312,313,315,316,
318,319,320,341,344,345,346,347,348,349,350,351,352,353,361,364,366,367,368,
370,376,379,381,382,383,384,385,388,392,393,395,396,397,401,407,410,411,413,
424,425,430,431,432,433,434,435,436,437,438,439,440,450,451,452,453,456,457,
462,472,473,474,476,485,492,493,496,499,500,501,503,504,506,511,514,516,521,
522,526,527,535,545,557,559,560,563,589,590,591,592,594,595,597,598,599,600,
601,605,610,614,616,628,629,630,635,642,643,647,650,655,656,657,658,677,678,
691,692,693,694,696,701,703,710,713,718,721,722,723,727,728,732,735,736,738,
742,746,747,753,755,756,758,760,762,763,766,767,772,774,775,779,784,785,786,
790,793,809,810,811,813,814,837,839,841,843,847,848,851,852,854,855,857,876,
877,881,895,897,898,899,900,902,903,904,905,909,911,922,929,932,935,941,943,
955,977,978,985,1001,1013,1015,1024,1027,1039,1052,1053,1077,1078,1080,1081,
1082,1108,1141,1146,1148,1151,1156,1159,1160,1171,1172,1176,1180,1186,1191,
1195,1196,1200,1209,1210,1213,1217,1226,1231,1232,1233,1235,1259,1270,1271,
1273,1283,1287,1290,1295,1301,1304,1322,1335,1407,1411,1417,1420,1427,1435,
1440,1443,1449,1478,1480,1493,1494,1507,1509,1517,1539,1587,1623,1629,1635,
1646,1648,1650,1652,1702],[1,2,3,4,5,7,8,9,10,11,12,13,14,15,25,26,27,28,29,
30,31,32,33,37,39,40,42,43,45,47,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,
95,96,97,98,99,100,101,102,123,124,125,126,127,128,129,130,131,132,143,144,
145,146,147,156,157,158,159,160,161,162,166,169,179,180,182,183,184,185,186,
187,189,191,194,221,222,223,224,225,226,227,228,229,230,231,251,252,257,259,
260,267,268,269,304,305,306,307,308,335,336,337,338,339,340,374,375,376,377,
378,379,380,409,410,411,412,413,414,415,416,417,418,419,420,421,430,431,432,
433,434,435,436,437,438,439,440,446,447,448,449,463,464,465,471,481,482,483,
489,492,493,494,499,500,501,503,504,523,524,525,538,539,546,572,573,617,618,
619,620,621,622,623,624,625,626,627,670,671,672,673,674,681,688,689,690,697,
711,712,724,725,726,736,738,745,748,749,750,751,752,777,778,832,833,834,835,
836,837,840,849,850,851,852,854,855,857,871,878,879,885,886,887,888,889,890,
891,892,893,915,916,921,931,933,934,936,943,954,986,987,1003,1012,1031,1038,
1068,1069,1076,1104,1105,1106,1107,1112,1147,1149,1152,1157,1170,1173,1174,
1194,1204,1205,1206,1214,1219,1224,1229,1230,1233,1234,1258,1267,1268,1269,
1282,1285,1293,1297,1302,1305,1321,1333,1410,1413,1419,1421,1424,1433,1442,
1446,1447,1479,1481,1500,1501,1508,1510,1516,1537,1584,1624,1630,1640,1645,
1647,1651,1653,1703],[1,2,3,4,5,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,
23,24,27,28,29,30,32,33,34,35,36,39,40,42,43,45,47,48,50,51,52,54,55,56,57,58,
59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,
85,88,97,98,99,100,101,102,103,104,105,106,107,108,109,110,114,115,116,117,
118,119,120,121,122,124,125,126,127,128,133,134,135,136,137,138,139,140,143,
144,145,146,147,148,149,150,151,154,160,165,169,177,178,180,182,183,184,185,
186,187,189,191,194,197,198,199,200,201,202,203,204,205,206,207,208,216,217,
218,219,220,221,223,225,228,229,230,236,237,239,241,242,243,244,247,248,249,
250,251,258,267,268,269,276,277,278,279,280,281,282,288,289,290,291,294,295,
304,305,306,311,312,313,315,316,317,318,319,320,321,322,335,336,337,344,345,
346,347,348,349,350,351,352,353,354,355,356,357,360,361,362,363,364,365,368,
369,370,371,374,375,377,378,379,381,382,383,384,385,386,387,388,389,390,391,
392,393,394,395,399,400,401,402,407,408,409,410,411,412,413,414,428,429,446,
447,454,455,458,459,460,465,471,475,477,481,486,487,488,492,493,499,500,501,
503,504,509,510,513,514,515,516,518,519,520,521,522,523,524,526,527,528,529,
530,533,534,535,536,537,538,540,541,544,545,547,548,549,550,554,555,556,557,
560,561,562,573,589,590,592,594,595,597,598,599,600,601,602,603,604,605,606,
607,608,609,613,614,615,616,617,619,622,627,632,633,637,638,639,642,643,644,
650,651,655,656,657,658,659,660,668,669,670,675,676,679,680,695,705,706,707,
711,712,729,737,749,750,752,773,776,778,791,794,800,801,802,804,805,806,807,
838,868,871,878,882,883,885,886,887,888,896,901,906,907,908,910,913,915,921,
924,931,943,952,959,960,962,964,977,978,979,980,981,982,983,984,985,988,992,
995,996,1002,1016,1031,1032,1037,1049,1050,1065,1066,1070,1072,1074,1075,1089,
1090,1091,1092,1121,1128,1131,1150,1157,1167,1189,1193,1248,1249,1250,1255,
1264,1266,1267,1268,1274,1280,1282,1285,1293,1296,1297,1302,1313,1316,1320,
1351,1363,1364,1372,1382,1393,1400,1403,1470,1482,1486,1487,1488,1489,1512,
1513,1519,1522,1523,1537,1553,1615,1618,1620,1625,1631,1633,1643,1704],[1,2,3,
4,5,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,23,24,25,26,27,28,29,30,31,32,
33,34,35,37,39,40,42,43,45,48,49,50,52,54,55,56,57,58,60,62,63,65,66,68,69,70,
71,72,73,74,75,76,77,78,79,80,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,
98,99,100,102,103,105,106,107,108,109,110,111,112,114,115,116,117,118,121,123,
124,127,128,129,130,131,132,133,136,137,140,141,142,144,148,149,150,151,152,
154,156,157,158,159,160,163,170,176,180,182,183,184,185,186,187,189,191,195,
197,199,200,201,203,205,208,209,210,211,212,213,214,215,216,217,218,219,220,
222,223,224,225,226,227,231,232,236,237,238,239,241,242,245,246,247,249,252,
256,262,263,265,270,271,274,275,277,280,283,284,286,287,288,289,291,292,296,
297,298,299,300,301,302,303,307,308,309,310,311,313,317,318,319,323,324,325,
326,328,330,331,332,339,340,341,344,345,346,347,350,352,354,355,356,357,360,
361,362,363,364,365,366,367,368,369,370,371,376,379,380,382,388,392,393,394,
395,396,397,399,400,401,403,404,405,406,407,413,415,416,417,418,419,420,421,
426,427,450,452,457,462,467,472,474,485,490,492,493,499,500,501,503,504,506,
509,510,511,513,514,515,516,518,519,520,521,525,531,532,533,535,539,541,542,
543,544,546,551,556,559,561,563,564,565,566,567,568,569,570,571,574,575,576,
577,578,579,580,581,582,584,585,586,589,591,597,602,605,610,611,613,615,623,
624,625,629,630,634,635,636,640,641,645,646,648,651,653,659,660,661,662,664,
665,666,673,674,676,682,685,700,716,717,719,720,722,723,733,734,743,754,755,
756,758,760,761,763,766,767,770,771,775,779,782,783,784,786,789,792,817,820,
821,823,826,827,828,842,844,865,872,876,881,895,897,899,903,904,909,911,919,
922,927,929,943,953,965,966,967,968,971,972,973,974,975,984,987,989,993,997,
998,999,1000,1007,1022,1027,1028,1030,1056,1058,1059,1060,1071,1075,1093,1095,
1096,1100,1124,1127,1136,1155,1159,1160,1163,1165,1179,1181,1185,1188,1244,
1245,1252,1263,1270,1273,1276,1283,1287,1290,1295,1298,1301,1314,1317,1319,
1352,1367,1369,1378,1386,1397,1398,1408,1468,1483,1484,1485,1511,1514,1518,
1524,1525,1539,1556,1614,1619,1621,1626,1632,1634,1644,1705],[1,2,3,4,5,7,8,9,
10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,27,28,29,30,32,33,34,35,36,39,40,
42,43,45,47,49,53,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,
77,78,79,80,81,82,83,84,85,88,97,98,99,100,101,102,103,104,111,112,113,114,
115,116,117,118,119,120,121,122,124,125,126,127,128,133,134,135,136,137,138,
139,140,143,144,145,146,147,152,153,155,160,165,169,175,176,180,182,183,184,
185,186,187,189,191,194,195,196,203,204,205,206,207,208,216,217,218,219,220,
221,223,225,228,229,230,232,233,234,235,238,240,243,244,247,248,249,250,251,
253,254,258,264,265,266,267,268,269,270,271,272,273,276,277,278,279,280,281,
282,283,284,285,287,292,293,304,305,306,309,310,314,317,318,319,320,321,322,
335,336,337,341,342,343,344,345,346,347,348,349,350,351,352,353,358,359,366,
367,372,373,374,375,377,378,379,381,382,383,384,385,386,387,388,389,390,391,
396,397,398,401,402,407,408,409,410,411,412,413,414,422,423,428,429,446,447,
450,451,452,453,456,457,461,462,465,471,472,473,474,476,481,484,485,492,493,
495,499,500,501,503,504,506,507,508,511,512,517,521,522,523,524,526,527,528,
529,530,534,535,536,537,538,540,541,547,548,549,550,551,552,553,554,555,558,
559,562,573,591,593,596,601,602,603,604,605,606,607,608,609,610,611,612,617,
619,622,627,630,631,632,633,637,638,639,644,647,648,649,652,653,654,668,669,
670,675,679,680,686,687,695,698,699,702,703,704,705,706,707,708,709,711,712,
713,714,715,729,730,731,737,739,740,741,744,749,750,752,757,758,759,762,763,
764,765,766,767,768,769,773,776,778,779,780,781,786,787,788,791,794,796,797,
798,799,800,801,804,805,806,807,815,816,838,845,846,871,876,877,878,880,881,
885,886,887,888,894,895,897,898,899,900,902,903,904,905,909,911,912,914,915,
921,922,923,929,930,931,937,938,942,943,959,960,964,968,969,970,980,981,1002,
1004,1005,1016,1019,1020,1023,1024,1025,1031,1032,1035,1036,1037,1042,1043,
1044,1045,1046,1047,1048,1049,1050,1063,1064,1066,1074,1083,1084,1085,1086,
1087,1088,1089,1090,1091,1092,1102,1103,1110,1111,1114,1115,1116,1131,1134,
1135,1150,1153,1154,1157,1160,1161,1162,1167,1182,1183,1184,1189,1193,1220,
1221,1222,1260,1267,1268,1270,1271,1272,1273,1282,1283,1284,1285,1286,1287,
1289,1290,1293,1294,1295,1297,1300,1301,1302,1306,1312,1324,1325,1326,1328,
1356,1357,1358,1372,1375,1376,1403,1404,1405,1406,1437,1438,1491,1492,1499,
1502,1503,1506,1520,1537,1538,1539,1579,1627,1628,1636,1637,1641,1642,1649,
1706],[1,2,3,4,8,9,10,11,12,16,17,19,20,23,24,32,46,47,48,50,51,52,54,55,56,
60,61,62,63,66,67,68,69,70,80,81,82,100,101,147,192,194,197,198,199,200,201,
202,205,206,207,208,221,228,281,282,374,375,523,540,544,545,547,548,632,944,
946,947,952,959,988,1307,1313,1663,1707],[1,2,3,4,8,9,10,11,12,18,21,22,32,46,
47,49,53,57,58,59,64,65,80,81,82,100,101,103,104,133,134,135,147,165,192,194,
195,196,203,204,221,228,232,233,234,243,244,253,254,258,341,342,343,374,375,
386,387,388,389,390,391,422,423,428,429,506,507,508,523,528,529,679,680,686,
687,737,739,740,741,744,944,945,1002,1004,1005,1116,1307,1308,1312,1708],[1,2,
5,6,8,25,26,27,33,38,41,47,88,90,124,143,161,168,172,173,174,194,224,259,260,
335,338,409,466,572,573,725,864,869,884,948,949,954,1243,1251,1457,1467,
1709],[1,2,5,7,8,27,31,33,38,42,43,47,88,89,123,124,143,156,162,168,169,179,
180,187,189,194,335,409,420,433,465,471,489,494,501,573,681,832,871,915,921,
950,1076,1243,1258,1297,1457,1479,1710],[1,2,5,6,8,27,33,37,38,44,47,88,124,
143,157,166,168,172,190,193,194,335,339,409,434,444,491,505,573,745,835,864,
928,951,1205,1243,1275,1457,1531,1540,1599,1664,1711],[1,2,3,4,5,8,9,10,11,12,
13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,47,
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,
157,158,159,160,161,162,163,164,165,166,194,195,196,197,198,199,200,201,202,
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,
431,432,433,434,435,436,437,438,439,440,506,507,508,509,510,511,512,513,514,
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,
800,801,802,803,804,805,806,807,808,809,810,811,812,813,814,815,816,817,818,
819,820,821,822,823,824,825,826,827,828,829,830,831,832,833,834,835,836,837,
838,839,840,841,842,843,844,845,846,847,848,849,850,851,852,853,854,855,856,
857,952,953,954,955,956,957,958,959,960,961,962,963,964,965,966,967,968,969,
970,971,972,973,974,975,976,977,978,979,980,981,982,983,984,985,986,987,988,
989,990,991,992,993,994,995,996,997,998,999,1000,1001,1002,1003,1004,1005,
1006,1007,1008,1009,1010,1011,1012,1013,1014,1015,1016,1017,1018,1019,1020,
1021,1022,1023,1024,1025,1026,1027,1028,1029,1030,1031,1032,1033,1034,1035,
1036,1037,1038,1039,1040,1041,1042,1043,1044,1045,1046,1047,1048,1049,1050,
1051,1052,1053,1054,1055,1056,1057,1058,1059,1060,1061,1062,1063,1064,1065,
1066,1067,1068,1069,1070,1071,1072,1073,1074,1075,1076,1077,1078,1079,1080,
1081,1082,1083,1084,1085,1086,1087,1088,1089,1090,1091,1092,1093,1094,1095,
1096,1097,1098,1099,1100,1101,1102,1103,1104,1105,1106,1107,1108,1109,1110,
1111,1112,1113,1114,1115,1116,1117,1118,1119,1120,1121,1122,1123,1124,1125,
1126,1127,1128,1129,1130,1131,1132,1133,1134,1135,1136,1137,1138,1139,1140,
1141,1142,1143,1144,1145,1146,1147,1148,1149,1150,1151,1152,1153,1154,1155,
1156,1157,1158,1159,1160,1161,1162,1163,1164,1165,1166,1167,1168,1169,1170,
1171,1172,1173,1174,1175,1176,1177,1178,1179,1180,1181,1182,1183,1184,1185,
1186,1187,1188,1189,1190,1191,1192,1193,1194,1195,1196,1197,1198,1199,1200,
1201,1202,1203,1204,1205,1206,1207,1208,1209,1210,1211,1212,1213,1214,1215,
1216,1217,1218,1219,1220,1221,1222,1223,1224,1225,1226,1227,1228,1229,1230,
1231,1232,1233,1234,1235,1236,1237,1312,1313,1314,1315,1316,1317,1318,1319,
1320,1321,1322,1323,1324,1325,1326,1327,1328,1329,1330,1331,1332,1333,1334,
1335,1336,1337,1338,1339,1340,1341,1342,1343,1344,1345,1346,1347,1348,1349,
1350,1351,1352,1353,1354,1355,1356,1357,1358,1359,1360,1361,1362,1363,1364,
1365,1366,1367,1368,1369,1370,1371,1372,1373,1374,1375,1376,1377,1378,1379,
1380,1381,1382,1383,1384,1385,1386,1387,1388,1389,1390,1391,1392,1393,1394,
1395,1396,1397,1398,1399,1400,1401,1402,1403,1404,1405,1406,1407,1408,1409,
1410,1411,1412,1413,1414,1415,1416,1417,1418,1419,1420,1421,1422,1423,1424,
1425,1426,1427,1428,1429,1430,1431,1432,1433,1434,1435,1436,1437,1438,1439,
1440,1441,1442,1443,1444,1445,1446,1447,1448,1449,1450,1451,1452,1541,1542,
1543,1544,1545,1546,1547,1548,1549,1550,1551,1552,1553,1554,1555,1556,1557,
1558,1559,1560,1561,1562,1563,1564,1565,1566,1567,1568,1569,1570,1571,1572,
1573,1574,1575,1576,1577,1578,1579,1580,1581,1582,1583,1584,1585,1586,1587,
1588,1589,1590,1591,1665,1666,1667,1668,1669,1670,1671,1672,1673,1674,1675,
1676,1677,1678,1679,1712],[1,2,3,4,5,6,7,8,9,10,12,13,14,15,16,17,18,19,20,21,
25,26,27,28,29,30,31,33,34,35,37,41,42,43,44,57,58,60,62,65,71,72,73,74,75,76,
77,78,79,80,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,102,105,106,
107,108,111,112,123,124,129,130,131,132,136,137,141,142,144,156,157,158,159,
167,169,170,171,172,173,174,176,177,178,180,181,187,188,189,190,203,205,209,
210,211,212,213,214,215,216,217,218,219,220,222,223,224,225,226,227,231,245,
246,252,280,286,287,288,289,292,296,297,298,299,300,301,302,303,307,308,339,
340,376,379,380,394,395,396,397,403,404,405,406,415,416,417,418,419,420,421,
441,459,460,462,465,466,467,468,469,470,472,474,478,479,480,490,491,501,502,
525,531,532,539,541,542,543,546,559,561,563,564,566,567,568,569,570,571,623,
624,625,634,635,636,640,641,645,646,673,674,858,859,865,866,867,868,869,870,
872,873,874,875,876,895,917,918,919,920,922,925,926,927,928,953,965,966,967,
987,997,998,999,1000,1238,1239,1252,1253,1254,1255,1256,1257,1263,1265,1290,
1291,1292,1298,1299,1317,1454,1455,1466,1468,1469,1483,1490,1514,1515,1593,
1594,1611,1621,1622,1680,1713],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,
19,20,21,23,24,25,26,27,28,29,30,34,35,39,40,43,44,45,48,50,52,54,55,56,57,58,
60,62,63,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,82,83,84,85,88,90,91,92,
93,94,95,96,97,98,99,105,106,107,108,109,110,114,115,116,117,118,121,136,137,
140,148,149,150,151,154,167,169,170,171,172,173,174,176,177,178,180,181,183,
184,197,199,200,201,203,205,208,209,210,211,212,213,214,215,216,217,218,219,
220,223,224,225,226,227,236,237,239,241,242,249,323,324,325,326,328,331,344,
345,346,347,350,352,354,355,356,357,360,361,362,363,364,365,368,369,370,371,
392,393,394,395,399,400,443,450,452,457,472,474,478,479,480,481,486,487,488,
490,491,492,509,510,513,514,515,516,518,519,520,521,533,541,542,543,544,546,
574,575,577,578,579,580,581,582,584,585,661,662,665,666,676,858,859,865,866,
867,868,869,870,872,873,874,875,876,897,899,903,904,953,972,973,974,975,1071,
1075,1241,1244,1245,1263,1265,1266,1270,1277,1278,1319,1454,1455,1466,1468,
1469,1484,1485,1597,1613,1614,1680,1714],[1,2,3,4,5,6,7,8,9,10,12,13,14,15,16,
17,18,19,20,21,25,26,27,28,29,30,32,34,39,43,44,45,49,57,58,60,62,65,71,72,73,
74,75,76,77,78,79,80,83,84,85,88,90,91,92,93,94,95,96,97,98,99,100,103,112,
115,116,133,137,152,167,169,170,171,172,173,174,176,177,178,180,181,182,191,
195,203,205,209,210,211,212,213,214,215,216,217,218,219,220,223,224,225,226,
227,232,238,277,284,310,317,330,332,341,346,366,367,388,397,443,446,455,472,
474,478,479,480,485,490,491,503,506,511,541,542,543,546,551,576,586,602,611,
648,653,664,858,859,865,866,867,868,869,870,872,873,874,875,876,881,929,953,
968,971,989,993,1240,1246,1249,1263,1265,1276,1301,1314,1454,1455,1466,1468,
1469,1511,1518,1596,1609,1634,1680,1715],[1,2,3,4,5,6,7,8,9,10,11,12,27,28,29,
30,31,32,33,37,39,40,41,42,43,44,45,47,80,81,82,88,89,97,98,99,100,101,123,
124,125,126,127,128,129,130,143,147,156,157,160,162,166,167,169,172,180,182,
183,184,185,186,187,188,189,191,194,221,225,228,251,267,268,304,305,306,308,
335,339,374,375,409,410,411,412,413,414,419,420,433,434,437,438,441,442,443,
446,447,465,466,471,481,491,492,493,499,500,501,503,504,523,538,573,619,622,
623,627,681,745,750,752,778,832,834,835,850,854,858,860,861,862,864,871,878,
885,886,887,888,915,920,921,931,943,1076,1104,1157,1204,1205,1224,1229,1238,
1240,1241,1242,1251,1267,1268,1275,1282,1285,1293,1297,1302,1433,1453,1456,
1521,1537,1592,1595,1598,1682,1683,1684,1716],[1,2,5,6,7,8,25,26,27,31,33,37,
41,42,43,44,47,88,89,90,123,124,131,132,143,156,157,161,162,166,167,169,170,
171,172,173,174,180,181,187,188,189,190,194,224,259,260,335,338,339,340,409,
420,421,433,434,439,440,441,465,466,467,468,469,470,471,490,491,496,501,502,
572,573,625,681,725,745,832,835,836,849,852,858,859,864,869,870,871,872,873,
884,915,919,920,921,927,928,932,935,941,954,1076,1107,1173,1205,1206,1219,
1238,1239,1251,1256,1257,1275,1279,1297,1298,1299,1303,1304,1446,1453,1455,
1467,1471,1472,1473,1521,1528,1530,1531,1592,1594,1617,1654,1655,1656,1681,
1717],[1,2,5,7,8,25,26,27,31,33,37,42,43,46,47,88,89,90,123,124,131,132,143,
156,157,162,169,171,179,187,224,338,339,340,409,420,421,433,445,463,464,465,
468,471,489,494,572,625,681,835,836,870,915,916,944,1107,1257,1258,1279,1461,
1462,1500,1528,1718],[1,3,5,7,14,16,18,25,29,31,34,37,39,42,45,46,48,49,74,86,
92,108,112,116,129,131,141,148,152,159,163,170,176,178,179,185,209,296,300,
325,330,355,367,406,416,426,445,449,452,455,460,462,464,467,483,485,486,497,
567,575,576,682,820,823,827,865,892,907,909,945,1093,1244,1252,1261,1276,1459,
1460,1463,1495,1524,1719],[1,3,4,5,7,13,15,16,17,21,22,25,28,30,31,35,36,37,
40,42,45,46,48,53,71,77,87,95,107,111,113,117,120,130,131,142,149,153,155,158,
164,171,175,177,178,179,186,210,298,303,324,329,333,356,358,372,404,418,424,
445,448,451,454,458,459,461,464,468,482,484,486,498,568,574,587,683,819,822,
829,867,890,913,914,946,1097,1247,1254,1262,1278,1458,1461,1464,1498,1526,
1720],[1,3,5,7,14,16,18,25,29,31,34,37,39,42,45,46,48,49,74,86,92,108,112,116,
129,131,141,148,152,159,163,171,176,178,179,185,209,296,300,325,330,355,367,
406,416,426,445,449,452,455,460,462,464,468,483,485,486,497,567,575,576,682,
820,823,827,866,892,907,909,946,1093,1246,1253,1261,1277,1459,1461,1464,1495,
1527,1721],[1,2,3,4,7,8,9,10,12,16,17,18,19,20,22,32,34,36,39,40,43,46,47,57,
59,60,62,80,100,101,103,115,116,119,120,133,135,137,138,147,165,169,175,176,
177,178,184,205,277,279,282,317,322,346,349,375,388,389,428,445,446,447,450,
451,452,453,455,458,471,472,473,495,547,602,607,679,800,806,807,868,886,897,
900,944,1089,1249,1250,1260,1280,1458,1459,1462,1492,1522,1722],[1,2,3,4,7,8,
9,10,11,12,16,17,19,20,23,24,43,45,46,47,48,50,51,52,54,55,56,60,61,62,63,66,
67,68,69,70,80,81,82,169,177,178,182,197,198,199,200,201,202,205,206,207,208,
221,445,471,475,477,481,486,487,488,540,544,545,868,878,882,883,944,946,947,
952,1264,1266,1462,1464,1470,1663,1723],[1,2,3,4,5,7,8,9,10,11,12,13,14,15,16,
17,18,19,20,21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,39,40,43,47,48,50,51,
52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,
79,80,81,82,83,84,85,88,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,
106,107,108,109,110,114,115,116,117,118,119,120,121,122,124,125,126,127,128,
133,134,135,136,137,138,139,140,143,144,145,146,147,148,149,150,151,154,160,
161,165,169,170,175,176,180,183,184,194,197,198,199,200,201,202,203,204,205,
206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,223,224,225,
226,227,228,229,230,236,237,239,241,242,243,244,247,248,249,250,251,258,259,
260,267,268,269,276,277,278,279,280,281,282,288,289,290,291,294,295,304,305,
306,311,312,313,315,316,317,318,319,320,321,322,323,324,325,326,328,331,335,
336,337,338,344,345,346,347,348,349,350,351,352,353,354,355,356,357,360,361,
362,363,364,365,368,369,370,371,374,375,377,378,379,381,382,383,384,385,386,
387,388,389,390,391,392,393,394,395,399,400,401,402,407,408,409,410,411,412,
413,414,428,429,430,431,446,447,450,451,452,453,456,457,471,472,473,474,476,
490,492,495,496,509,510,513,514,515,516,518,519,520,521,522,523,524,526,527,
528,529,530,533,534,535,536,537,538,540,541,542,543,544,545,546,547,548,549,
550,554,555,556,557,560,561,562,572,573,574,575,577,578,579,580,581,582,584,
585,589,590,592,594,595,597,598,599,600,601,602,603,604,605,606,607,608,609,
613,614,615,616,617,618,619,620,621,622,626,627,632,633,637,638,639,642,643,
644,650,651,655,656,657,658,659,660,661,662,665,666,668,669,670,671,672,675,
676,677,678,679,680,689,690,695,697,705,706,707,711,712,724,725,726,729,737,
738,749,750,751,752,773,776,777,778,791,794,800,801,802,804,805,806,807,809,
810,813,814,831,838,840,853,865,871,872,876,877,885,886,897,898,899,900,902,
903,904,905,937,941,952,953,954,958,959,960,961,962,963,964,972,973,974,975,
977,978,979,980,981,982,983,984,985,986,988,992,995,996,1001,1002,1010,1011,
1012,1016,1017,1031,1032,1033,1037,1049,1050,1051,1052,1053,1065,1066,1070,
1071,1072,1073,1074,1075,1078,1080,1081,1082,1089,1090,1091,1092,1121,1125,
1128,1131,1132,1138,1139,1147,1150,1152,1157,1164,1167,1169,1189,1190,1193,
1194,1207,1214,1244,1245,1259,1260,1263,1267,1270,1271,1313,1316,1318,1319,
1320,1333,1337,1348,1351,1363,1364,1370,1372,1374,1379,1380,1382,1385,1393,
1395,1400,1403,1407,1432,1468,1473,1474,1484,1485,1491,1492,1493,1494,1506,
1507,1535,1541,1543,1545,1552,1553,1565,1567,1614,1635,1637,1665,1689,1724],[
1,2,3,4,5,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,
30,31,32,33,34,35,36,37,39,40,42,43,45,47,48,49,50,51,52,53,54,55,56,57,58,59,
60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,
87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,
109,110,111,112,113,114,115,116,117,118,119,120,121,123,124,126,127,128,129,
130,131,132,133,134,135,136,137,138,140,141,142,143,144,145,147,148,149,150,
151,152,153,154,155,156,157,158,159,160,162,163,164,165,169,175,176,177,178,
179,182,184,185,186,187,195,196,197,198,199,200,201,202,203,205,206,207,208,
209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,
229,231,232,233,235,236,237,238,239,240,241,242,244,245,246,247,248,249,251,
252,253,255,256,257,261,262,263,264,265,270,271,274,275,276,277,279,280,282,
283,284,285,286,287,288,289,290,291,292,296,297,298,299,300,301,302,303,304,
306,307,308,309,310,311,312,313,314,317,318,319,320,322,323,324,325,326,327,
328,329,330,331,332,333,334,336,337,338,339,340,341,343,344,345,346,347,349,
350,352,354,355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,
371,372,373,375,376,377,378,379,380,381,382,383,386,387,388,389,391,392,393,
394,395,396,397,398,399,400,401,402,403,404,405,406,407,408,409,411,412,413,
414,415,416,417,418,419,420,421,423,424,425,426,427,428,432,433,446,447,448,
449,450,451,452,453,454,455,459,460,461,462,463,464,465,471,472,473,475,477,
481,482,483,484,485,486,487,488,489,493,494,495,497,498,506,507,509,510,511,
512,513,514,515,516,517,518,519,520,521,524,525,526,529,530,531,532,533,534,
535,536,537,538,539,540,541,542,543,544,545,546,547,550,551,552,553,554,556,
557,559,560,561,562,563,564,565,566,567,568,569,570,571,572,574,575,576,577,
578,579,580,581,582,583,584,585,586,587,588,589,590,591,592,593,594,595,597,
601,602,603,604,605,606,607,610,611,612,613,614,615,616,617,618,619,620,621,
623,624,625,628,629,630,633,634,635,636,638,640,641,642,644,645,646,647,648,
649,650,651,652,653,654,655,657,658,659,660,661,662,663,664,665,666,667,669,
671,672,673,674,675,676,679,681,682,683,684,685,687,688,691,692,693,694,696,
699,700,701,702,703,708,710,713,714,716,717,718,719,720,721,722,723,727,728,
730,732,733,734,735,736,739,742,743,753,754,755,756,757,758,760,761,762,763,
766,767,768,770,771,772,774,775,779,780,782,783,784,785,786,787,789,790,792,
793,797,799,800,803,806,807,812,815,817,818,819,820,821,822,823,824,825,826,
827,828,829,830,833,834,835,836,839,841,842,843,844,845,853,868,878,879,880,
881,882,883,886,887,888,889,890,891,892,893,894,895,896,897,900,901,907,908,
909,910,911,912,913,914,915,916,936,938,939,940,952,953,955,956,957,961,962,
963,964,965,966,967,968,969,970,971,972,973,974,975,976,977,979,981,982,983,
984,985,986,987,989,990,991,993,994,997,998,999,1000,1003,1004,1006,1007,1008,
1009,1013,1014,1015,1018,1019,1021,1022,1023,1024,1026,1027,1028,1029,1030,
1034,1035,1041,1043,1045,1047,1054,1055,1056,1057,1058,1059,1060,1061,1067,
1068,1069,1070,1071,1072,1073,1074,1075,1083,1086,1089,1093,1094,1095,1096,
1097,1098,1099,1100,1102,1104,1105,1106,1107,1118,1120,1123,1124,1126,1127,
1130,1133,1134,1136,1137,1140,1141,1142,1143,1144,1145,1146,1151,1153,1155,
1156,1158,1159,1160,1161,1163,1165,1166,1169,1178,1179,1180,1181,1182,1183,
1185,1186,1187,1188,1191,1192,1208,1209,1210,1211,1212,1213,1248,1249,1255,
1258,1260,1261,1262,1264,1266,1268,1269,1272,1273,1274,1314,1315,1317,1318,
1319,1320,1334,1335,1336,1349,1352,1353,1354,1360,1361,1366,1367,1368,1369,
1371,1373,1375,1377,1378,1379,1380,1384,1386,1387,1388,1390,1392,1396,1397,
1398,1399,1402,1405,1408,1409,1410,1430,1431,1470,1475,1476,1477,1482,1487,
1488,1489,1492,1495,1496,1497,1498,1499,1500,1501,1503,1504,1505,1508,1533,
1534,1542,1544,1545,1554,1556,1557,1558,1566,1568,1569,1570,1615,1636,1638,
1639,1640,1666,1690,1725],[1,2,3,4,5,7,8,9,10,11,12,13,14,15,16,17,18,19,20,
21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,39,40,43,47,49,53,57,58,59,60,61,
62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,88,90,
91,92,93,94,95,96,97,98,99,100,101,102,103,104,111,112,113,114,115,116,117,
118,119,120,121,122,124,125,126,127,128,133,134,135,136,137,138,139,140,143,
144,145,146,147,152,153,155,160,161,165,169,171,177,178,180,183,184,194,195,
196,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,
221,223,224,225,226,227,228,229,230,232,233,234,235,238,240,243,244,247,248,
249,250,251,253,254,258,259,260,264,265,266,267,268,269,270,271,272,273,276,
277,278,279,280,281,282,283,284,285,287,292,293,304,305,306,309,310,314,317,
318,319,320,321,322,327,329,330,332,333,334,335,336,337,338,341,342,343,344,
345,346,347,348,349,350,351,352,353,358,359,366,367,372,373,374,375,377,378,
379,381,382,383,384,385,386,387,388,389,390,391,396,397,398,401,402,407,408,
409,410,411,412,413,414,422,423,428,429,430,431,446,447,454,455,458,471,475,
477,492,506,507,508,511,512,517,521,522,523,524,526,527,528,529,530,534,535,
536,537,538,540,541,542,543,546,547,548,549,550,551,552,553,554,555,558,559,
562,572,573,576,583,586,587,588,591,593,596,601,602,603,604,605,606,607,608,
609,610,611,612,617,618,619,620,621,622,626,627,630,631,632,633,637,638,639,
644,647,648,649,652,653,654,663,664,667,668,669,670,671,672,675,677,678,679,
680,686,687,689,690,695,697,698,699,702,703,704,705,706,707,708,709,711,712,
713,714,715,724,725,726,729,730,731,737,738,739,740,741,744,749,750,751,752,
757,758,759,762,763,764,765,766,767,768,769,773,776,777,778,779,780,781,786,
787,788,791,794,796,797,798,799,800,801,804,805,806,807,808,811,812,815,816,
838,840,845,846,866,867,868,870,871,885,886,901,906,953,954,958,959,960,961,
963,964,968,969,970,971,976,980,981,986,989,990,991,993,994,1001,1002,1004,
1005,1010,1011,1012,1016,1017,1019,1020,1023,1024,1025,1031,1032,1033,1035,
1036,1037,1039,1040,1041,1042,1043,1044,1045,1046,1047,1048,1049,1050,1063,
1064,1066,1073,1074,1077,1079,1083,1084,1085,1086,1087,1088,1089,1090,1091,
1092,1102,1103,1108,1109,1110,1111,1114,1115,1116,1117,1118,1119,1120,1131,
1132,1134,1135,1138,1139,1147,1150,1152,1153,1154,1157,1160,1161,1162,1164,
1167,1182,1183,1184,1189,1190,1193,1194,1207,1214,1220,1221,1222,1246,1247,
1248,1249,1250,1264,1267,1279,1280,1312,1314,1315,1318,1322,1323,1324,1325,
1326,1328,1330,1331,1333,1337,1341,1342,1343,1345,1346,1349,1350,1356,1357,
1358,1360,1361,1362,1372,1374,1375,1376,1383,1384,1389,1390,1391,1392,1403,
1404,1405,1406,1428,1432,1437,1438,1466,1472,1486,1487,1519,1522,1523,1541,
1554,1555,1559,1560,1563,1579,1589,1590,1609,1610,1612,1618,1667,1688,1692,
1693,1726],[1,2,3,4,5,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,27,
28,29,30,31,32,33,34,35,36,40,43,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,
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,
87,88,89,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,114,115,
116,117,118,119,120,121,122,123,124,125,126,127,128,133,134,135,136,137,138,
139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,160,
161,162,163,164,165,166,169,175,176,177,178,179,182,183,189,195,196,197,198,
199,200,201,202,203,204,205,206,207,208,216,217,218,219,220,221,222,223,225,
229,230,231,232,233,235,236,237,238,239,240,241,242,243,244,245,246,247,248,
249,250,251,253,255,256,257,259,260,261,262,263,264,265,266,267,268,269,270,
271,274,275,276,277,278,279,280,281,282,283,284,286,287,288,289,290,291,292,
293,294,295,305,306,309,310,311,312,313,314,315,316,317,318,319,320,321,322,
333,334,335,336,337,338,341,343,344,345,346,347,348,349,350,351,352,353,354,
355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,374,375,
376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,394,
395,396,397,399,400,401,402,403,404,405,406,407,408,409,410,411,412,413,414,
420,423,424,425,426,427,428,430,431,432,433,434,435,436,437,438,439,440,447,
456,457,458,471,472,473,475,477,481,482,483,484,485,486,487,488,489,494,495,
497,498,500,506,507,509,510,511,512,513,514,515,516,518,519,520,521,522,524,
525,526,527,528,529,530,531,532,533,534,535,536,537,538,540,541,544,545,548,
549,550,551,552,555,556,557,559,560,561,562,563,564,565,589,590,591,592,593,
594,595,596,597,598,599,600,601,602,603,604,605,606,607,608,609,610,611,613,
614,615,616,620,621,622,626,627,628,629,630,633,634,635,636,637,638,639,642,
643,647,648,649,650,651,652,653,655,656,657,658,659,660,667,668,669,670,672,
675,676,677,678,679,681,682,683,684,685,687,688,691,692,693,694,696,697,699,
700,701,702,703,704,705,707,708,710,712,713,714,715,716,717,718,719,720,721,
722,723,724,725,726,727,728,730,732,733,734,735,736,738,739,742,743,745,746,
747,748,749,751,752,753,754,755,756,757,758,760,761,762,763,764,766,767,768,
770,771,772,773,774,775,776,777,779,780,782,783,784,785,786,787,789,790,791,
792,793,794,796,799,801,805,807,808,809,810,811,812,813,814,816,831,837,839,
840,841,842,843,844,845,847,848,849,850,851,852,854,855,856,857,868,878,879,
880,881,882,883,885,898,899,906,921,922,923,924,933,934,936,938,939,940,952,
955,956,957,960,961,962,965,968,969,977,978,979,980,981,982,983,984,985,991,
992,995,996,1001,1003,1004,1006,1007,1008,1009,1013,1014,1015,1017,1018,1019,
1021,1022,1023,1024,1025,1026,1027,1028,1029,1030,1033,1034,1035,1037,1039,
1040,1041,1044,1045,1046,1051,1052,1053,1070,1072,1074,1075,1077,1078,1079,
1080,1081,1082,1087,1090,1108,1109,1110,1114,1117,1120,1125,1132,1133,1134,
1136,1137,1140,1141,1142,1143,1144,1145,1146,1148,1149,1151,1152,1153,1155,
1156,1158,1159,1160,1161,1163,1164,1165,1166,1167,1168,1170,1171,1172,1173,
1176,1177,1178,1179,1180,1181,1182,1183,1185,1186,1187,1188,1190,1191,1192,
1194,1195,1196,1197,1198,1199,1200,1208,1209,1210,1211,1212,1213,1216,1217,
1225,1226,1228,1229,1230,1231,1232,1233,1234,1235,1250,1258,1260,1261,1262,
1264,1266,1293,1294,1295,1296,1305,1316,1320,1322,1323,1325,1334,1335,1336,
1341,1342,1345,1348,1350,1359,1370,1373,1374,1375,1377,1378,1385,1391,1392,
1395,1407,1411,1412,1416,1417,1420,1421,1422,1423,1426,1427,1430,1431,1435,
1436,1440,1441,1443,1444,1448,1449,1451,1470,1475,1476,1477,1481,1486,1491,
1503,1504,1505,1508,1513,1516,1520,1533,1534,1542,1549,1552,1560,1572,1576,
1578,1580,1581,1586,1587,1620,1628,1647,1657,1658,1679,1690,1727],[1,2,3,4,5,
7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,
34,35,36,37,42,43,47,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,
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,
101,102,103,104,105,106,107,108,109,110,111,112,113,123,124,125,126,127,128,
129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,
156,157,158,159,160,161,162,165,166,169,170,175,176,180,187,189,194,203,204,
205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,
224,225,226,227,228,229,230,231,243,244,245,246,247,248,249,250,251,252,257,
258,259,260,261,262,263,264,265,266,267,268,269,276,277,278,279,280,281,282,
283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,
302,303,304,305,306,307,308,335,336,337,338,339,340,374,375,376,377,378,379,
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,
418,419,420,421,428,429,430,431,432,433,434,435,436,437,438,439,440,461,462,
465,467,471,472,473,474,476,490,495,496,501,523,524,525,526,527,528,529,530,
531,532,533,534,535,536,537,538,539,540,541,542,543,546,547,548,549,550,551,
552,553,554,555,556,557,558,559,560,561,562,563,564,565,566,567,568,569,570,
571,572,573,617,618,619,620,621,622,623,624,625,626,627,628,629,632,633,634,
635,636,637,638,639,640,641,642,643,644,645,646,670,671,672,673,674,675,677,
678,679,680,681,688,689,690,695,696,697,702,703,704,705,706,707,708,709,710,
711,712,724,725,726,727,728,729,736,737,738,745,746,747,748,749,750,751,752,
767,768,769,770,771,772,773,774,775,776,777,778,789,790,791,792,793,794,795,
796,797,798,799,800,801,802,803,832,833,834,835,836,837,838,839,840,847,848,
849,850,851,852,854,855,856,857,865,871,872,876,877,894,895,915,919,921,922,
923,927,932,935,937,941,953,954,958,959,960,961,962,963,964,965,966,967,986,
987,996,997,998,999,1000,1001,1002,1003,1010,1011,1012,1016,1017,1018,1031,
1032,1033,1034,1035,1036,1037,1038,1062,1063,1064,1065,1066,1067,1068,1069,
1073,1074,1076,1101,1102,1103,1104,1105,1106,1107,1112,1113,1114,1115,1128,
1129,1130,1131,1132,1133,1138,1139,1147,1148,1149,1150,1151,1152,1157,1164,
1165,1166,1167,1168,1170,1171,1172,1173,1174,1175,1189,1190,1191,1192,1193,
1194,1201,1202,1203,1204,1205,1206,1207,1214,1215,1219,1223,1224,1228,1229,
1230,1231,1232,1233,1234,1235,1252,1259,1260,1263,1289,1290,1297,1298,1304,
1317,1318,1321,1327,1328,1333,1337,1338,1339,1340,1354,1355,1359,1371,1372,
1373,1374,1388,1400,1401,1402,1410,1413,1414,1415,1419,1420,1421,1422,1423,
1424,1425,1432,1433,1434,1439,1442,1445,1446,1447,1450,1451,1468,1473,1474,
1480,1483,1499,1506,1507,1514,1517,1520,1535,1541,1550,1558,1562,1573,1577,
1578,1582,1583,1584,1585,1621,1627,1648,1656,1659,1678,1689,1728],[1,2,3,4,5,
7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,32,33,34,
35,36,40,43,45,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,
69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,88,90,91,92,93,94,95,96,97,
98,99,100,101,102,103,104,105,106,107,108,109,110,111,113,114,115,116,117,118,
119,120,121,122,124,125,126,127,128,133,134,135,136,137,138,139,140,143,144,
145,146,147,148,149,150,151,153,154,155,160,165,166,169,171,177,178,182,183,
189,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,
214,215,216,217,218,219,220,221,223,224,225,226,227,229,230,233,234,235,236,
237,239,240,241,242,243,244,247,248,249,250,251,254,266,272,273,276,277,278,
279,280,282,283,285,288,289,290,291,293,294,295,304,305,306,309,311,312,313,
314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,331,333,334,
335,336,337,338,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,
356,357,358,359,360,361,362,363,364,365,368,369,370,371,372,373,374,375,377,
378,379,381,382,383,384,385,386,387,388,389,390,391,392,393,394,395,396,398,
399,400,401,402,407,408,409,410,411,412,413,414,422,423,428,429,434,435,436,
447,454,458,471,475,477,481,486,487,488,500,507,508,509,510,512,513,514,515,
516,517,518,519,520,521,522,524,526,527,528,529,530,533,534,535,536,537,538,
540,541,542,543,544,545,546,547,549,550,552,553,554,556,557,558,560,561,562,
572,574,575,577,578,579,580,581,582,583,584,585,587,588,589,590,592,594,595,
596,597,598,599,600,601,602,603,604,605,606,607,608,609,610,612,613,614,615,
616,617,618,619,620,621,622,631,633,637,638,639,642,643,644,647,649,650,651,
652,654,655,656,657,658,659,660,661,662,663,665,666,667,668,669,670,671,672,
675,676,680,686,687,698,704,709,715,731,740,741,745,746,747,748,759,764,765,
769,781,788,795,796,797,798,799,801,804,805,808,811,815,816,832,837,846,853,
856,866,867,868,870,878,882,883,885,906,921,924,952,953,960,961,962,963,964,
969,970,972,973,974,975,976,977,978,979,980,981,982,983,984,985,986,990,991,
992,994,995,996,1005,1020,1025,1036,1038,1039,1040,1042,1044,1046,1048,1062,
1063,1064,1070,1071,1072,1073,1074,1075,1084,1085,1086,1087,1088,1092,1103,
1117,1119,1122,1129,1135,1148,1149,1154,1162,1168,1169,1184,1196,1198,1199,
1200,1201,1202,1204,1206,1236,1237,1247,1248,1250,1264,1266,1277,1278,1279,
1280,1293,1296,1315,1316,1318,1319,1320,1350,1355,1359,1362,1365,1376,1379,
1380,1381,1383,1389,1391,1394,1401,1404,1406,1424,1425,1426,1427,1452,1466,
1470,1486,1513,1523,1530,1545,1551,1555,1572,1573,1574,1575,1610,1612,1613,
1620,1675,1692,1698,1699,1729],[1,2,3,4,5,7,8,9,10,11,12,13,14,15,16,17,18,19,
20,21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,43,45,47,49,53,57,58,59,60,61,
62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,88,90,
91,92,93,94,95,96,97,98,99,100,101,102,103,104,111,112,113,114,115,116,117,
118,119,120,121,122,124,125,126,127,128,133,134,135,136,137,138,139,140,143,
144,145,146,147,152,153,155,160,161,165,169,170,175,176,180,182,191,194,195,
196,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,
221,223,224,225,226,227,228,229,230,232,233,234,235,238,240,243,244,247,248,
249,250,251,253,254,258,259,260,264,265,266,267,268,269,270,271,272,273,276,
277,278,279,280,281,282,283,284,285,287,292,293,304,305,306,309,310,314,317,
318,319,320,321,322,327,329,330,332,333,334,335,336,337,338,341,342,343,344,
345,346,347,348,349,350,351,352,353,358,359,366,367,372,373,374,375,377,378,
379,381,382,383,384,385,386,387,388,389,390,391,396,397,398,401,402,407,408,
409,410,411,412,413,414,422,423,428,429,430,431,471,472,473,474,476,481,484,
485,490,495,496,503,506,507,508,511,512,517,521,522,523,524,526,527,528,529,
530,534,535,536,537,538,540,541,542,543,546,547,548,549,550,551,552,553,554,
555,558,559,562,572,573,576,583,586,587,588,591,593,596,601,602,603,604,605,
606,607,608,609,610,611,612,617,618,619,620,621,622,626,627,630,631,632,633,
637,638,639,644,647,648,649,652,653,654,663,664,667,668,669,670,671,672,675,
677,678,679,680,686,687,689,690,695,697,698,699,702,703,704,705,706,707,708,
709,711,712,713,714,715,724,725,726,729,730,731,737,738,739,740,741,744,749,
750,751,752,757,758,759,762,763,764,765,766,767,768,769,773,776,777,778,779,
780,781,786,787,788,791,794,796,797,798,799,800,801,804,805,806,807,808,811,
812,815,816,838,840,845,846,865,871,872,876,877,878,880,881,929,930,931,937,
938,941,942,953,954,958,959,960,961,963,964,968,969,970,971,976,980,981,986,
989,990,991,993,994,1001,1002,1004,1005,1010,1011,1012,1016,1017,1019,1020,
1023,1024,1025,1031,1032,1033,1035,1036,1037,1039,1040,1041,1042,1043,1044,
1045,1046,1047,1048,1049,1050,1063,1064,1066,1073,1074,1077,1079,1083,1084,
1085,1086,1087,1088,1089,1090,1091,1092,1102,1103,1108,1109,1110,1111,1114,
1115,1116,1117,1118,1119,1120,1131,1132,1134,1135,1138,1139,1147,1150,1152,
1153,1154,1157,1160,1161,1162,1164,1167,1182,1183,1184,1189,1190,1193,1194,
1207,1214,1220,1221,1222,1259,1260,1263,1276,1300,1301,1302,1306,1312,1314,
1315,1318,1322,1323,1324,1325,1326,1328,1330,1331,1333,1337,1341,1342,1343,
1345,1346,1349,1350,1356,1357,1358,1360,1361,1362,1372,1374,1375,1376,1383,
1384,1389,1390,1391,1392,1403,1404,1405,1406,1428,1432,1437,1438,1468,1473,
1474,1478,1502,1503,1506,1507,1509,1511,1518,1535,1541,1554,1555,1559,1560,
1563,1579,1589,1590,1629,1634,1641,1660,1667,1689,1730],[1,2,3,4,5,7,8,9,10,
11,12,13,14,15,16,17,18,19,20,21,22,23,24,27,28,29,30,31,32,33,34,35,36,43,45,
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,
73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,97,98,99,100,101,102,103,
104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,
123,124,125,126,127,128,133,134,135,136,137,138,139,140,141,142,143,144,145,
146,147,148,149,150,151,152,153,154,155,156,160,162,163,164,165,169,175,176,
177,178,179,180,182,191,194,195,196,197,198,199,200,201,202,203,204,205,206,
207,208,216,217,218,219,220,221,222,223,225,228,229,230,231,232,233,234,235,
236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,253,254,255,
256,257,258,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,
277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,
304,305,306,309,310,311,312,313,314,315,316,317,318,319,320,321,322,335,336,
337,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,
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,
397,398,399,400,401,402,403,404,405,406,407,408,409,410,411,412,413,414,420,
422,423,424,425,426,427,428,429,432,433,471,472,473,474,475,476,477,481,482,
483,484,485,486,487,488,489,494,495,497,498,503,506,507,508,509,510,511,512,
513,514,515,516,517,518,519,520,521,522,523,524,525,526,527,528,529,530,531,
532,533,534,535,536,537,538,540,541,544,545,547,548,549,550,551,552,553,554,
555,556,557,558,559,560,561,562,563,564,565,573,589,590,591,592,593,594,595,
596,597,598,599,600,601,602,603,604,605,606,607,608,609,610,611,612,613,614,
615,616,617,619,622,627,628,629,630,631,632,633,634,635,636,637,638,639,642,
643,644,647,648,649,650,651,652,653,654,655,656,657,658,659,660,668,669,670,
675,676,679,680,681,682,683,684,685,686,687,688,691,692,693,694,695,696,698,
699,700,701,702,703,704,705,706,707,708,709,710,711,712,713,714,715,716,717,
718,719,720,721,722,723,727,728,729,730,731,732,733,734,735,736,737,739,740,
741,742,743,744,749,750,752,753,754,755,756,757,758,759,760,761,762,763,764,
765,766,767,768,769,770,771,772,773,774,775,776,778,779,780,781,782,783,784,
785,786,787,788,789,790,791,792,793,794,795,796,797,798,799,800,801,802,804,
805,806,807,815,816,832,838,839,841,842,843,844,845,846,868,871,876,877,878,
879,880,881,882,883,929,930,931,936,937,938,939,940,942,952,955,956,957,959,
960,962,964,965,968,969,970,977,978,979,980,981,982,983,984,985,988,992,995,
996,1002,1003,1004,1005,1006,1007,1008,1009,1013,1014,1015,1016,1018,1019,
1020,1021,1022,1023,1024,1025,1026,1027,1028,1029,1030,1031,1032,1034,1035,
1036,1037,1038,1042,1043,1044,1045,1046,1047,1048,1049,1050,1062,1063,1064,
1065,1066,1070,1072,1074,1075,1076,1083,1084,1085,1086,1087,1088,1089,1090,
1091,1092,1101,1102,1103,1110,1111,1112,1113,1114,1115,1116,1121,1122,1128,
1129,1131,1133,1134,1135,1136,1137,1140,1141,1142,1143,1144,1145,1146,1150,
1151,1153,1154,1155,1156,1157,1158,1159,1160,1161,1162,1163,1165,1166,1167,
1178,1179,1180,1181,1182,1183,1184,1185,1186,1187,1188,1189,1191,1192,1193,
1208,1209,1210,1211,1212,1213,1220,1221,1222,1258,1260,1261,1262,1264,1266,
1280,1300,1301,1302,1306,1312,1313,1316,1320,1321,1324,1325,1326,1327,1328,
1329,1332,1334,1335,1336,1338,1339,1340,1344,1347,1351,1355,1356,1357,1358,
1363,1364,1365,1372,1373,1375,1376,1377,1378,1381,1382,1393,1394,1400,1401,
1403,1404,1405,1406,1429,1430,1431,1437,1438,1470,1475,1476,1477,1479,1502,
1503,1504,1505,1506,1508,1510,1512,1519,1533,1534,1542,1551,1553,1561,1562,
1564,1579,1588,1591,1630,1633,1641,1661,1668,1690,1731],[1,2,3,4,5,7,8,9,10,
11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,
37,42,43,47,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,
79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,
103,104,105,106,107,108,109,110,111,112,113,123,124,125,126,127,128,129,130,
131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,156,157,
158,159,160,161,162,165,166,169,171,177,178,180,187,189,194,203,204,205,206,
207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,
226,227,228,229,230,231,243,244,245,246,247,248,249,250,251,252,257,258,259,
260,261,262,263,264,265,266,267,268,269,276,277,278,279,280,281,282,283,284,
285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,
304,305,306,307,308,335,336,337,338,339,340,374,375,376,377,378,379,380,381,
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,
420,421,428,429,430,431,432,433,434,435,436,437,438,439,440,459,460,465,468,
471,475,477,501,523,524,525,526,527,528,529,530,531,532,533,534,535,536,537,
538,539,540,541,542,543,546,547,548,549,550,551,552,553,554,555,556,557,558,
559,560,561,562,563,564,565,566,567,568,569,570,571,572,573,617,618,619,620,
621,622,623,624,625,626,627,628,629,632,633,634,635,636,637,638,639,640,641,
642,643,644,645,646,670,671,672,673,674,675,677,678,679,680,681,688,689,690,
695,696,697,702,703,704,705,706,707,708,709,710,711,712,724,725,726,727,728,
729,736,737,738,745,746,747,748,749,750,751,752,767,768,769,770,771,772,773,
774,775,776,777,778,789,790,791,792,793,794,795,796,797,798,799,800,801,802,
803,832,833,834,835,836,837,838,839,840,847,848,849,850,851,852,854,855,856,
857,866,867,868,870,871,896,915,921,924,953,954,958,959,960,961,962,963,964,
965,966,967,986,987,996,997,998,999,1000,1001,1002,1003,1010,1011,1012,1016,
1017,1018,1031,1032,1033,1034,1035,1036,1037,1038,1062,1063,1064,1065,1066,
1067,1068,1069,1073,1074,1076,1101,1102,1103,1104,1105,1106,1107,1112,1113,
1114,1115,1128,1129,1130,1131,1132,1133,1138,1139,1147,1148,1149,1150,1151,
1152,1157,1164,1165,1166,1167,1168,1170,1171,1172,1173,1174,1175,1189,1190,
1191,1192,1193,1194,1201,1202,1203,1204,1205,1206,1207,1214,1215,1219,1223,
1224,1228,1229,1230,1231,1232,1233,1234,1235,1253,1254,1255,1257,1264,1279,
1280,1297,1317,1318,1321,1327,1328,1333,1337,1338,1339,1340,1354,1355,1359,
1371,1372,1373,1374,1388,1400,1401,1402,1410,1413,1414,1415,1419,1420,1421,
1422,1423,1424,1425,1432,1433,1434,1439,1442,1445,1446,1447,1450,1451,1466,
1472,1482,1513,1519,1528,1530,1541,1550,1558,1562,1573,1577,1578,1582,1583,
1584,1585,1611,1612,1625,1654,1678,1688,1696,1698,1732],[1,2,3,4,5,7,8,9,10,
11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,
37,39,40,42,43,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,
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,
115,116,117,118,119,120,121,123,124,126,127,128,129,130,131,132,133,134,135,
136,137,138,140,141,142,143,144,145,147,148,149,150,151,152,153,154,155,156,
157,158,159,160,162,163,164,165,169,171,177,178,182,184,185,186,187,195,196,
197,198,199,200,201,202,203,205,206,207,208,209,210,211,212,213,214,215,216,
217,218,219,220,221,222,223,224,225,226,227,229,231,232,233,235,236,237,238,
239,240,241,242,244,245,246,247,248,249,251,252,253,255,256,257,261,262,263,
264,265,270,271,274,275,276,277,279,280,282,283,284,285,286,287,288,289,290,
291,292,296,297,298,299,300,301,302,303,304,306,307,308,309,310,311,312,313,
314,317,318,319,320,322,323,324,325,326,327,328,329,330,331,332,333,334,336,
337,338,339,340,341,343,344,345,346,347,349,350,352,354,355,356,357,358,359,
360,361,362,363,364,365,366,367,368,369,370,371,372,373,375,376,377,378,379,
380,381,382,383,386,387,388,389,391,392,393,394,395,396,397,398,399,400,401,
402,403,404,405,406,407,408,409,411,412,413,414,415,416,417,418,419,420,421,
423,424,425,426,427,428,432,433,446,447,454,455,458,459,460,465,468,471,475,
477,481,486,487,488,493,506,507,509,510,511,512,513,514,515,516,517,518,519,
520,521,524,525,526,529,530,531,532,533,534,535,536,537,538,539,540,541,542,
543,544,545,546,547,550,551,552,553,554,556,557,559,560,561,562,563,564,565,
566,567,568,569,570,571,572,574,575,576,577,578,579,580,581,582,583,584,585,
586,587,588,589,590,591,592,593,594,595,597,601,602,603,604,605,606,607,610,
611,612,613,614,615,616,617,618,619,620,621,623,624,625,628,629,630,633,634,
635,636,638,640,641,642,644,645,646,647,648,649,650,651,652,653,654,655,657,
658,659,660,661,662,663,664,665,666,667,669,671,672,673,674,675,676,679,681,
682,683,684,685,687,688,691,692,693,694,696,699,700,701,702,703,708,710,713,
714,716,717,718,719,720,721,722,723,727,728,730,732,733,734,735,736,739,742,
743,753,754,755,756,757,758,760,761,762,763,766,767,768,770,771,772,774,775,
779,780,782,783,784,785,786,787,789,790,792,793,797,799,800,803,806,807,812,
815,817,818,819,820,821,822,823,824,825,826,827,828,829,830,833,834,835,836,
839,841,842,843,844,845,853,866,867,868,870,878,882,883,886,887,888,896,901,
907,908,910,913,915,952,953,955,956,957,961,962,963,964,965,966,967,968,969,
970,971,972,973,974,975,976,977,979,981,982,983,984,985,986,987,989,990,991,
993,994,997,998,999,1000,1003,1004,1006,1007,1008,1009,1013,1014,1015,1018,
1019,1021,1022,1023,1024,1026,1027,1028,1029,1030,1034,1035,1041,1043,1045,
1047,1054,1055,1056,1057,1058,1059,1060,1061,1067,1068,1069,1070,1071,1072,
1073,1074,1075,1083,1086,1089,1093,1094,1095,1096,1097,1098,1099,1100,1102,
1104,1105,1106,1107,1118,1120,1123,1124,1126,1127,1130,1133,1134,1136,1137,
1140,1141,1142,1143,1144,1145,1146,1151,1153,1155,1156,1158,1159,1160,1161,
1163,1165,1166,1169,1178,1179,1180,1181,1182,1183,1185,1186,1187,1188,1191,
1192,1208,1209,1210,1211,1212,1213,1246,1247,1248,1249,1250,1253,1254,1255,
1257,1264,1266,1268,1274,1277,1278,1279,1280,1314,1315,1317,1318,1319,1320,
1334,1335,1336,1349,1352,1353,1354,1360,1361,1366,1367,1368,1369,1371,1373,
1375,1377,1378,1379,1380,1384,1386,1387,1388,1390,1392,1396,1397,1398,1399,
1402,1405,1408,1409,1410,1430,1431,1466,1470,1482,1487,1488,1489,1522,1526,
1527,1528,1542,1544,1545,1554,1556,1557,1558,1566,1568,1569,1570,1609,1610,
1611,1612,1613,1615,1666,1693,1694,1695,1696,1699,1733],[1,2,3,4,5,7,8,9,10,
11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,43,
45,47,48,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,
74,75,76,77,78,79,80,81,82,83,84,85,88,90,91,92,93,94,95,96,97,98,99,100,101,
102,103,104,105,106,107,108,109,110,114,115,116,117,118,119,120,121,122,124,
125,126,127,128,133,134,135,136,137,138,139,140,143,144,145,146,147,148,149,
150,151,154,160,161,165,169,171,177,178,180,182,191,194,197,198,199,200,201,
202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,
221,223,224,225,226,227,228,229,230,236,237,239,241,242,243,244,247,248,249,
250,251,258,259,260,267,268,269,276,277,278,279,280,281,282,288,289,290,291,
294,295,304,305,306,311,312,313,315,316,317,318,319,320,321,322,323,324,325,
326,328,331,335,336,337,338,344,345,346,347,348,349,350,351,352,353,354,355,
356,357,360,361,362,363,364,365,368,369,370,371,374,375,377,378,379,381,382,
383,384,385,386,387,388,389,390,391,392,393,394,395,399,400,401,402,407,408,
409,410,411,412,413,414,428,429,430,431,471,475,477,481,486,487,488,503,509,
510,513,514,515,516,518,519,520,521,522,523,524,526,527,528,529,530,533,534,
535,536,537,538,540,541,542,543,544,545,546,547,548,549,550,554,555,556,557,
560,561,562,572,573,574,575,577,578,579,580,581,582,584,585,589,590,592,594,
595,597,598,599,600,601,602,603,604,605,606,607,608,609,613,614,615,616,617,
618,619,620,621,622,626,627,632,633,637,638,639,642,643,644,650,651,655,656,
657,658,659,660,661,662,665,666,668,669,670,671,672,675,676,677,678,679,680,
689,690,695,697,705,706,707,711,712,724,725,726,729,737,738,749,750,751,752,
773,776,777,778,791,794,800,801,802,804,805,806,807,809,810,813,814,831,838,
840,853,866,867,868,870,871,878,882,883,931,952,953,954,958,959,960,961,962,
963,964,972,973,974,975,977,978,979,980,981,982,983,984,985,986,988,992,995,
996,1001,1002,1010,1011,1012,1016,1017,1031,1032,1033,1037,1049,1050,1051,
1052,1053,1065,1066,1070,1071,1072,1073,1074,1075,1078,1080,1081,1082,1089,
1090,1091,1092,1121,1125,1128,1131,1132,1138,1139,1147,1150,1152,1157,1164,
1167,1169,1189,1190,1193,1194,1207,1214,1264,1266,1277,1278,1279,1280,1302,
1313,1316,1318,1319,1320,1333,1337,1348,1351,1363,1364,1370,1372,1374,1379,
1380,1382,1385,1393,1395,1400,1403,1407,1432,1466,1470,1472,1512,1519,1541,
1543,1545,1552,1553,1565,1567,1612,1613,1633,1665,1688,1697,1699,1734],[1,2,3,
4,5,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,32,
33,34,35,36,39,40,43,47,49,53,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,
74,75,76,77,78,79,80,81,82,83,84,85,88,90,91,92,93,94,95,96,97,98,99,100,101,
102,103,104,111,112,113,114,115,116,117,118,119,120,121,124,126,127,128,133,
134,135,136,137,138,139,140,143,144,145,146,147,152,153,155,160,165,166,169,
171,177,178,184,189,191,195,196,203,205,206,207,208,209,210,211,212,213,214,
215,216,217,218,219,220,221,223,224,225,226,227,228,229,230,232,233,235,238,
240,244,247,248,249,250,251,253,264,265,267,268,270,271,272,273,276,277,278,
279,280,281,282,283,284,285,287,292,294,295,304,306,309,310,314,315,316,317,
318,319,320,322,327,329,330,332,333,334,335,336,337,338,341,343,344,345,346,
347,349,350,352,358,359,366,367,372,373,375,377,378,379,381,382,383,386,387,
388,389,391,396,397,398,401,402,407,408,409,411,412,413,414,423,428,434,435,
436,446,447,454,455,458,471,475,477,504,506,507,511,512,517,521,524,526,529,
530,534,535,536,537,538,540,541,542,543,546,547,550,551,552,553,554,559,562,
572,576,583,586,587,588,591,593,601,602,603,604,605,606,607,610,611,612,617,
618,619,620,621,630,632,633,638,639,643,644,647,648,649,652,653,654,656,663,
664,667,669,670,671,672,675,679,687,695,698,699,702,703,708,713,714,730,739,
745,746,747,748,757,758,762,763,766,767,768,778,779,780,786,787,788,794,795,
797,798,799,800,802,804,806,807,809,810,812,815,831,832,837,845,856,866,867,
868,870,886,901,921,924,931,953,961,963,964,968,969,970,971,976,981,986,988,
989,990,991,992,993,994,996,1004,1016,1019,1020,1023,1024,1035,1038,1041,1042,
1043,1045,1047,1049,1051,1052,1062,1063,1065,1073,1074,1083,1086,1089,1102,
1118,1120,1121,1122,1128,1129,1134,1148,1149,1153,1160,1161,1168,1176,1177,
1182,1183,1195,1197,1201,1202,1204,1206,1222,1246,1247,1248,1249,1250,1264,
1279,1280,1285,1314,1315,1318,1340,1347,1348,1349,1351,1355,1356,1359,1360,
1361,1375,1381,1382,1384,1390,1392,1405,1411,1412,1424,1425,1429,1466,1487,
1512,1513,1522,1530,1543,1547,1554,1564,1571,1573,1576,1609,1610,1612,1643,
1676,1693,1697,1698,1735],[1,2,3,4,5,7,8,9,10,11,12,13,14,15,16,17,18,19,20,
21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,40,42,43,47,53,57,58,59,60,
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,
109,110,111,112,113,114,117,119,120,122,123,124,126,127,128,129,130,131,132,
133,134,135,136,137,138,139,140,141,142,143,144,145,147,153,155,156,157,158,
159,160,162,165,169,171,177,178,183,187,191,196,203,204,205,206,207,208,209,
210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,
229,231,233,234,235,240,243,244,245,246,247,248,249,250,251,252,254,257,261,
262,263,264,265,266,268,272,273,276,277,278,279,280,281,282,283,284,285,286,
287,288,289,290,291,292,293,296,297,298,299,300,301,302,303,304,305,306,307,
308,309,314,315,316,318,321,322,327,329,333,334,336,337,338,339,340,341,342,
343,344,348,349,351,353,358,359,372,373,374,375,376,377,378,379,380,381,382,
383,386,387,388,389,390,391,392,393,394,395,396,397,398,399,400,401,402,403,
404,405,406,407,408,409,411,412,413,414,415,416,417,418,419,420,421,422,423,
428,429,432,433,447,454,458,459,460,465,468,471,475,477,499,507,508,512,517,
522,524,525,526,528,529,530,531,532,533,534,535,536,537,538,539,540,541,542,
543,546,547,550,551,552,553,554,555,556,557,558,559,560,561,562,563,564,565,
566,567,568,569,570,571,572,583,587,588,596,603,607,608,609,610,612,617,618,
619,620,621,623,624,625,628,629,631,632,633,634,635,636,638,639,640,641,642,
644,645,646,647,649,652,654,656,663,667,668,671,672,673,674,675,680,681,686,
687,688,696,698,702,703,704,705,706,708,709,710,715,727,728,731,736,740,741,
750,759,764,765,767,768,769,770,771,772,774,775,781,788,789,790,792,793,795,
796,798,801,802,803,804,805,806,807,808,809,810,811,815,816,831,833,834,835,
836,839,846,866,867,868,870,885,896,906,915,931,953,961,962,963,964,965,966,
967,969,970,976,980,986,987,988,990,991,992,994,997,998,999,1000,1003,1005,
1018,1020,1025,1032,1034,1035,1036,1039,1040,1042,1044,1046,1048,1049,1050,
1051,1052,1062,1065,1067,1068,1069,1073,1074,1083,1084,1085,1092,1101,1103,
1104,1105,1106,1107,1110,1111,1113,1117,1119,1121,1122,1130,1133,1135,1151,
1154,1162,1165,1166,1184,1191,1192,1216,1217,1218,1225,1226,1227,1247,1248,
1250,1253,1254,1255,1257,1264,1279,1280,1282,1315,1317,1318,1326,1327,1344,
1347,1348,1350,1351,1354,1362,1371,1373,1376,1383,1388,1389,1391,1393,1394,
1402,1404,1410,1416,1417,1418,1466,1482,1486,1512,1523,1528,1543,1546,1548,
1549,1555,1558,1561,1610,1611,1612,1631,1673,1692,1696,1697,1736],[1,2,3,4,5,
6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,
34,35,36,37,41,44,47,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,
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,
101,102,103,104,105,106,107,108,109,110,111,112,113,123,124,125,126,127,128,
129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,
156,157,158,159,160,161,162,165,166,172,173,174,181,188,190,194,203,204,205,
206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,
225,226,227,228,229,230,231,243,244,245,246,247,248,249,250,251,252,257,258,
259,260,261,262,263,264,265,266,267,268,269,276,277,278,279,280,281,282,283,
284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,
303,304,305,306,307,308,335,336,337,338,339,340,374,375,376,377,378,379,380,
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,
419,420,421,428,429,430,431,432,433,434,435,436,437,438,439,440,466,469,470,
478,479,480,491,502,523,524,525,526,527,528,529,530,531,532,533,534,535,536,
537,538,539,540,541,542,543,546,547,548,549,550,551,552,553,554,555,556,557,
558,559,560,561,562,563,564,565,566,567,568,569,570,571,572,573,617,618,619,
620,621,622,623,624,625,626,627,628,629,632,633,634,635,636,637,638,639,640,
641,642,643,644,645,646,670,671,672,673,674,675,677,678,679,680,681,688,689,
690,695,696,697,702,703,704,705,706,707,708,709,710,711,712,724,725,726,727,
728,729,736,737,738,745,746,747,748,749,750,751,752,767,768,769,770,771,772,
773,774,775,776,777,778,789,790,791,792,793,794,795,796,797,798,799,800,801,
802,803,832,833,834,835,836,837,838,839,840,847,848,849,850,851,852,854,855,
856,857,864,869,873,874,875,884,917,918,920,925,926,928,953,954,958,959,960,
961,962,963,964,965,966,967,986,987,996,997,998,999,1000,1001,1002,1003,1010,
1011,1012,1016,1017,1018,1031,1032,1033,1034,1035,1036,1037,1038,1062,1063,
1064,1065,1066,1067,1068,1069,1073,1074,1076,1101,1102,1103,1104,1105,1106,
1107,1112,1113,1114,1115,1128,1129,1130,1131,1132,1133,1138,1139,1147,1148,
1149,1150,1151,1152,1157,1164,1165,1166,1167,1168,1170,1171,1172,1173,1174,
1175,1189,1190,1191,1192,1193,1194,1201,1202,1203,1204,1205,1206,1207,1214,
1215,1219,1223,1224,1228,1229,1230,1231,1232,1233,1234,1235,1251,1256,1265,
1275,1281,1288,1291,1292,1299,1303,1317,1318,1321,1327,1328,1333,1337,1338,
1339,1340,1354,1355,1359,1371,1372,1373,1374,1388,1400,1401,1402,1410,1413,
1414,1415,1419,1420,1421,1422,1423,1424,1425,1432,1433,1434,1439,1442,1445,
1446,1447,1450,1451,1467,1469,1471,1490,1515,1521,1529,1531,1532,1536,1541,
1550,1558,1562,1573,1577,1578,1582,1583,1584,1585,1616,1617,1622,1655,1662,
1678,1691,1700,1701,1737],[1,2,5,6,8,25,26,27,31,33,37,38,41,44,47,88,89,90,
123,124,131,132,143,156,157,161,162,166,168,172,173,174,188,194,224,259,260,
335,338,339,340,409,420,421,433,434,439,440,444,466,469,470,491,572,573,625,
681,725,745,832,835,836,849,852,864,869,884,920,948,949,954,1076,1107,1173,
1205,1206,1219,1243,1251,1256,1275,1303,1309,1310,1446,1457,1467,1521,1599,
1617,1709,1738],[1,2,3,4,5,7,8,9,10,11,12,27,28,29,30,31,32,33,37,38,39,40,42,
43,45,47,80,81,82,88,89,97,98,99,100,101,123,124,125,126,127,128,129,130,143,
147,156,157,160,162,166,168,169,179,180,182,183,184,185,186,187,189,191,194,
221,225,228,251,267,268,304,305,306,308,335,339,374,375,409,410,411,412,413,
414,419,420,433,434,437,438,444,446,447,448,449,465,471,481,489,492,493,494,
499,500,501,503,504,523,538,573,619,622,623,627,681,745,750,752,778,832,834,
835,850,854,871,878,885,886,887,888,889,915,921,931,934,943,950,1076,1104,
1157,1204,1205,1224,1229,1243,1258,1267,1268,1282,1285,1293,1297,1302,1311,
1433,1457,1479,1481,1501,1537,1599,1651,1710,1739],[1,2,3,4,5,6,7,8,9,10,11,
12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,32,33,43,44,47,57,58,
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,
85,88,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,124,125,126,127,128,
133,134,135,143,144,145,146,147,160,161,165,167,169,170,171,172,173,174,175,
176,177,178,180,181,194,203,204,205,206,207,208,209,210,211,212,213,214,215,
216,217,218,219,220,221,223,224,225,226,227,228,229,230,243,244,247,248,251,
258,259,260,267,268,269,281,282,304,305,306,335,336,337,338,374,375,377,378,
379,381,382,383,384,385,386,387,388,389,390,391,401,402,407,408,409,410,411,
412,413,414,428,429,430,431,471,472,473,474,475,476,477,478,479,480,490,491,
495,496,523,524,526,527,528,529,530,534,535,536,537,538,540,541,542,543,546,
547,548,549,550,554,555,562,572,573,617,618,619,620,621,622,626,627,632,633,
637,644,670,671,672,675,677,678,679,680,689,690,695,697,705,706,707,711,712,
724,725,726,729,737,738,749,750,751,752,773,776,777,778,791,794,838,840,858,
859,864,865,866,867,868,869,870,871,872,873,874,875,876,877,884,937,941,953,
954,958,959,960,961,963,964,986,1001,1002,1010,1011,1012,1016,1017,1031,1032,
1033,1037,1073,1074,1131,1132,1138,1139,1147,1150,1152,1157,1164,1167,1189,
1190,1193,1194,1207,1214,1259,1260,1263,1264,1265,1275,1279,1280,1281,1288,
1318,1333,1337,1372,1374,1432,1453,1454,1455,1466,1467,1468,1469,1471,1472,
1473,1474,1506,1507,1519,1532,1535,1541,1612,1616,1680,1681,1688,1689,1691,
1740],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,23,24,25,26,27,
28,29,30,31,32,33,34,35,37,39,40,41,42,43,44,45,48,49,50,52,54,55,56,57,58,60,
62,63,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,82,83,84,85,86,87,88,89,90,
91,92,93,94,95,96,97,98,99,100,102,103,105,106,107,108,109,110,111,112,114,
115,116,117,118,121,123,124,127,128,129,130,131,132,133,136,137,140,141,142,
144,148,149,150,151,152,154,156,157,158,159,160,163,167,169,170,171,172,173,
174,176,177,178,180,181,182,183,184,185,186,187,188,189,190,191,195,197,199,
200,201,203,205,208,209,210,211,212,213,214,215,216,217,218,219,220,222,223,
224,225,226,227,231,232,236,237,238,239,241,242,245,246,247,249,252,256,262,
263,265,270,271,274,275,277,280,283,284,286,287,288,289,291,292,296,297,298,
299,300,301,302,303,307,308,309,310,311,313,317,318,319,323,324,325,326,328,
330,331,332,339,340,341,344,345,346,347,350,352,354,355,356,357,360,361,362,
363,364,365,366,367,368,369,370,371,376,379,380,382,388,392,393,394,395,396,
397,399,400,401,403,404,405,406,407,413,415,416,417,418,419,420,421,426,427,
441,443,446,450,452,455,457,459,460,462,465,466,467,468,469,470,472,474,478,
479,480,481,485,486,487,488,490,491,492,493,499,500,501,502,503,504,506,509,
510,511,513,514,515,516,518,519,520,521,525,531,532,533,535,539,541,542,543,
544,546,551,556,559,561,563,564,565,566,567,568,569,570,571,574,575,576,577,
578,579,580,581,582,584,585,586,589,591,597,602,605,610,611,613,615,623,624,
625,629,630,634,635,636,640,641,645,646,648,651,653,659,660,661,662,664,665,
666,673,674,676,682,685,700,716,717,719,720,722,723,733,734,743,754,755,756,
758,760,761,763,766,767,770,771,775,779,782,783,784,786,789,792,817,820,821,
823,826,827,828,842,844,858,859,861,865,866,867,868,869,870,872,873,874,875,
876,881,887,895,897,899,903,904,907,908,909,911,917,918,919,920,922,925,926,
927,928,929,943,953,965,966,967,968,971,972,973,974,975,984,987,989,993,997,
998,999,1000,1007,1022,1027,1028,1030,1056,1058,1059,1060,1071,1075,1093,1095,
1096,1100,1124,1127,1136,1155,1159,1160,1163,1165,1179,1181,1185,1188,1238,
1239,1240,1241,1244,1245,1246,1249,1252,1253,1254,1255,1256,1257,1263,1265,
1266,1270,1273,1276,1277,1278,1283,1287,1290,1291,1292,1295,1298,1299,1301,
1314,1317,1319,1352,1367,1369,1378,1386,1397,1398,1408,1454,1455,1456,1466,
1468,1469,1483,1484,1485,1489,1490,1511,1514,1515,1518,1524,1525,1527,1539,
1556,1593,1594,1596,1597,1609,1611,1613,1614,1619,1621,1622,1626,1632,1634,
1644,1680,1685,1694,1705,1713,1714,1715,1741],[1,5,6,7,25,31,37,38,41,42,44,
46,131,167,168,170,171,173,179,181,188,190,441,444,445,464,467,468,470,502,
859,862,948,950,1239,1309,1460,1461,1606,1742],[1,2,5,7,8,25,26,27,31,33,37,
42,43,46,47,88,89,90,123,124,131,132,143,156,157,161,162,166,169,170,179,180,
187,189,192,194,224,259,260,335,338,339,340,409,420,421,433,434,439,440,445,
463,464,465,467,471,489,490,494,496,501,572,573,625,681,725,745,832,835,836,
849,852,863,871,872,915,916,919,921,927,932,933,935,941,944,954,1076,1107,
1173,1205,1206,1219,1258,1297,1298,1304,1307,1446,1460,1462,1473,1479,1500,
1516,1602,1603,1605,1624,1656,1743],[1,2,3,4,7,9,11,17,18,22,23,24,33,35,36,
40,43,45,46,49,55,57,63,64,67,120,121,122,125,127,136,139,144,146,161,162,164,
166,175,176,177,182,183,189,192,195,198,255,257,261,290,292,295,309,312,315,
345,353,382,385,431,435,438,440,445,451,456,457,458,472,475,476,485,488,494,
496,498,500,591,592,599,677,727,735,747,809,811,813,847,851,863,881,882,899,
902,906,922,924,932,933,934,936,940,945,955,1077,1082,1172,1195,1200,1217,
1259,1295,1296,1305,1308,1443,1458,1463,1475,1478,1494,1517,1601,1604,1605,
1623,1657,1744],[1,2,3,4,7,8,9,10,11,12,18,21,22,32,43,45,46,47,49,53,57,58,
59,64,65,80,81,82,100,101,103,104,133,134,135,147,165,169,175,176,180,182,191,
192,194,195,196,203,204,221,228,232,233,234,243,244,253,254,258,341,342,343,
374,375,386,387,388,389,390,391,422,423,428,429,445,471,472,473,474,476,481,
484,485,495,503,506,507,508,523,528,529,679,680,686,687,737,739,740,741,744,
863,871,876,877,878,880,881,929,930,931,937,938,942,944,945,1002,1004,1005,
1116,1260,1300,1301,1302,1306,1307,1308,1312,1462,1463,1502,1503,1506,1603,
1604,1641,1708,1745],[1,2,3,4,7,8,9,10,11,12,16,17,18,19,20,21,22,23,24,32,34,
35,36,39,40,43,46,47,57,58,59,60,61,62,63,64,65,66,67,68,69,70,80,81,82,100,
101,103,104,114,115,116,117,118,119,120,121,122,133,134,135,136,137,138,139,
140,147,165,169,175,176,177,178,180,183,184,192,194,203,204,205,206,207,208,
221,228,243,244,249,250,258,276,277,278,279,280,281,282,317,318,319,320,321,
322,344,345,346,347,348,349,350,351,352,353,374,375,386,387,388,389,390,391,
428,429,445,446,447,450,451,452,453,454,455,456,457,458,471,472,473,474,475,
476,477,492,495,521,522,523,528,529,540,547,548,601,602,603,604,605,606,607,
608,609,632,638,639,668,669,679,680,737,800,801,804,805,806,807,863,868,871,
876,877,885,886,897,898,899,900,901,902,903,904,905,906,937,944,959,980,981,
1002,1049,1050,1066,1089,1090,1091,1092,1248,1249,1250,1260,1264,1267,1270,
1271,1280,1307,1403,1458,1459,1462,1486,1487,1491,1492,1506,1519,1522,1523,
1600,1601,1603,1618,1637,1722,1746],[1,2,3,4,5,7,9,12,13,14,15,16,18,19,20,21,
23,25,26,27,28,29,30,31,34,35,37,39,40,42,43,45,46,48,49,50,52,57,60,65,66,71,
72,74,75,76,78,79,83,85,86,87,89,90,91,92,94,95,96,97,99,106,107,108,109,110,
112,115,116,117,118,121,129,130,131,132,137,140,141,148,149,150,152,154,157,
158,159,163,170,176,178,179,182,184,185,186,187,192,195,197,209,212,213,215,
216,219,222,227,237,238,241,246,252,256,296,297,300,301,323,325,326,328,330,
331,332,346,352,354,355,356,363,364,365,366,367,368,371,394,397,400,405,406,
415,416,417,418,419,421,426,427,445,448,449,450,452,454,455,457,459,460,462,
463,464,467,472,474,477,482,483,485,486,487,489,490,493,497,511,513,518,532,
539,542,567,569,570,575,576,577,578,581,582,585,586,640,645,661,664,665,682,
685,743,817,820,821,823,827,828,863,865,879,881,883,889,890,891,892,893,895,
896,897,901,903,907,908,909,910,911,913,916,919,939,945,967,971,975,1007,1056,
1059,1060,1093,1095,1096,1100,1244,1245,1252,1261,1263,1269,1273,1274,1276,
1308,1408,1459,1460,1463,1483,1484,1495,1496,1504,1518,1524,1525,1600,1602,
1604,1619,1638,1719,1747],[1,2,3,4,7,8,9,10,11,12,16,17,19,20,23,24,32,43,45,
46,47,48,50,51,52,54,55,56,60,61,62,63,66,67,68,69,70,80,81,82,100,101,147,
169,177,178,180,182,191,192,194,197,198,199,200,201,202,205,206,207,208,221,
228,281,282,374,375,445,471,475,477,481,486,487,488,503,523,540,544,545,547,
548,632,863,868,871,878,882,883,931,944,946,947,952,959,988,1264,1266,1280,
1302,1307,1313,1462,1464,1470,1512,1519,1603,1633,1663,1707,1723,1748],[1,2,5,
7,8,25,26,27,31,33,37,42,43,46,47,88,89,90,123,124,131,132,143,156,157,161,
162,166,169,171,179,180,187,189,192,194,224,259,260,335,338,339,340,409,420,
421,433,434,439,440,445,463,464,465,468,471,489,494,501,572,573,625,681,725,
745,832,835,836,849,852,863,870,871,915,916,921,933,944,954,1076,1107,1173,
1205,1206,1219,1257,1258,1279,1297,1307,1446,1461,1462,1472,1479,1500,1516,
1528,1530,1603,1624,1654,1718,1749],[1,2,5,6,7,8,25,26,27,33,38,41,43,44,47,
88,90,124,143,161,167,168,169,170,171,172,173,174,180,181,193,194,224,259,260,
335,338,409,442,466,471,490,491,496,505,572,573,725,858,859,864,869,870,871,
872,873,884,941,948,949,954,1243,1251,1275,1279,1453,1455,1457,1465,1467,1471,
1472,1473,1540,1595,1664,1681,1709,1750],[1,2,3,4,5,7,8,9,10,11,12,13,14,15,
16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,42,43,
45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,
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,
156,157,158,159,160,161,162,163,164,165,166,169,175,176,177,178,179,180,182,
183,184,185,186,187,189,191,194,195,196,197,198,199,200,201,202,203,204,205,
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,
434,435,436,437,438,439,440,446,447,448,449,450,451,452,453,454,455,456,457,
458,459,460,461,462,463,464,465,471,472,473,474,475,476,477,481,482,483,484,
485,486,487,488,489,492,493,494,495,497,498,499,500,501,503,504,506,507,508,
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,
794,795,796,797,798,799,800,801,802,803,804,805,806,807,808,809,810,811,812,
813,814,815,816,817,818,819,820,821,822,823,824,825,826,827,828,829,830,831,
832,833,834,835,836,837,838,839,840,841,842,843,844,845,846,847,848,849,850,
851,852,853,854,855,856,857,868,871,876,877,878,879,880,881,882,883,885,886,
887,888,889,890,891,892,893,894,895,896,897,898,899,900,901,902,903,904,905,
906,907,908,909,910,911,912,913,914,915,916,921,922,923,924,929,930,931,933,
934,936,937,938,939,940,942,943,952,953,954,955,956,957,958,959,960,961,962,
963,964,965,966,967,968,969,970,971,972,973,974,975,976,977,978,979,980,981,
982,983,984,985,986,987,988,989,990,991,992,993,994,995,996,997,998,999,1000,
1001,1002,1003,1004,1005,1006,1007,1008,1009,1010,1011,1012,1013,1014,1015,
1016,1017,1018,1019,1020,1021,1022,1023,1024,1025,1026,1027,1028,1029,1030,
1031,1032,1033,1034,1035,1036,1037,1038,1039,1040,1041,1042,1043,1044,1045,
1046,1047,1048,1049,1050,1051,1052,1053,1054,1055,1056,1057,1058,1059,1060,
1061,1062,1063,1064,1065,1066,1067,1068,1069,1070,1071,1072,1073,1074,1075,
1076,1077,1078,1079,1080,1081,1082,1083,1084,1085,1086,1087,1088,1089,1090,
1091,1092,1093,1094,1095,1096,1097,1098,1099,1100,1101,1102,1103,1104,1105,
1106,1107,1108,1109,1110,1111,1112,1113,1114,1115,1116,1117,1118,1119,1120,
1121,1122,1123,1124,1125,1126,1127,1128,1129,1130,1131,1132,1133,1134,1135,
1136,1137,1138,1139,1140,1141,1142,1143,1144,1145,1146,1147,1148,1149,1150,
1151,1152,1153,1154,1155,1156,1157,1158,1159,1160,1161,1162,1163,1164,1165,
1166,1167,1168,1169,1170,1171,1172,1173,1174,1175,1176,1177,1178,1179,1180,
1181,1182,1183,1184,1185,1186,1187,1188,1189,1190,1191,1192,1193,1194,1195,
1196,1197,1198,1199,1200,1201,1202,1203,1204,1205,1206,1207,1208,1209,1210,
1211,1212,1213,1214,1215,1216,1217,1218,1219,1220,1221,1222,1223,1224,1225,
1226,1227,1228,1229,1230,1231,1232,1233,1234,1235,1236,1237,1248,1249,1250,
1255,1258,1260,1261,1262,1264,1266,1267,1268,1269,1270,1271,1272,1273,1274,
1280,1282,1283,1284,1285,1286,1287,1289,1290,1293,1294,1295,1296,1297,1300,
1301,1302,1305,1306,1312,1313,1314,1315,1316,1317,1318,1319,1320,1321,1322,
1323,1324,1325,1326,1327,1328,1329,1330,1331,1332,1333,1334,1335,1336,1337,
1338,1339,1340,1341,1342,1343,1344,1345,1346,1347,1348,1349,1350,1351,1352,
1353,1354,1355,1356,1357,1358,1359,1360,1361,1362,1363,1364,1365,1366,1367,
1368,1369,1370,1371,1372,1373,1374,1375,1376,1377,1378,1379,1380,1381,1382,
1383,1384,1385,1386,1387,1388,1389,1390,1391,1392,1393,1394,1395,1396,1397,
1398,1399,1400,1401,1402,1403,1404,1405,1406,1407,1408,1409,1410,1411,1412,
1413,1414,1415,1416,1417,1418,1419,1420,1421,1422,1423,1424,1425,1426,1427,
1428,1429,1430,1431,1432,1433,1434,1435,1436,1437,1438,1439,1440,1441,1442,
1443,1444,1445,1446,1447,1448,1449,1450,1451,1452,1470,1475,1476,1477,1479,
1481,1482,1486,1487,1488,1489,1491,1492,1495,1496,1497,1498,1499,1500,1501,
1502,1503,1504,1505,1506,1508,1510,1512,1513,1516,1519,1520,1522,1523,1533,
1534,1537,1538,1539,1541,1542,1543,1544,1545,1546,1547,1548,1549,1550,1551,
1552,1553,1554,1555,1556,1557,1558,1559,1560,1561,1562,1563,1564,1565,1566,
1567,1568,1569,1570,1571,1572,1573,1574,1575,1576,1577,1578,1579,1580,1581,
1582,1583,1584,1585,1586,1587,1588,1589,1590,1591,1615,1618,1620,1624,1625,
1627,1628,1630,1631,1633,1636,1637,1638,1639,1640,1641,1642,1643,1645,1647,
1649,1651,1653,1657,1658,1661,1665,1666,1667,1668,1669,1670,1671,1672,1673,
1674,1675,1676,1677,1678,1679,1690,1703,1704,1706,1712,1725,1727,1731,1751],[
1,2,3,4,5,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,
30,31,32,33,34,35,36,37,39,40,42,43,45,47,48,49,50,51,52,53,54,55,56,57,58,59,
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,
166,169,170,175,176,180,182,183,184,185,186,187,189,191,194,195,196,197,198,
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,
427,428,429,430,431,432,433,434,435,436,437,438,439,440,446,447,450,451,452,
453,456,457,461,462,465,467,471,472,473,474,476,481,484,485,490,492,493,495,
496,499,500,501,503,504,506,507,508,509,510,511,512,513,514,515,516,517,518,
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,
804,805,806,807,808,809,810,811,812,813,814,815,816,817,818,819,820,821,822,
823,824,825,826,827,828,829,830,831,832,833,834,835,836,837,838,839,840,841,
842,843,844,845,846,847,848,849,850,851,852,853,854,855,856,857,865,871,872,
876,877,878,880,881,885,886,887,888,894,895,897,898,899,900,902,903,904,905,
909,911,912,914,915,919,921,922,923,927,929,930,931,932,935,937,938,941,942,
943,952,953,954,955,956,957,958,959,960,961,962,963,964,965,966,967,968,969,
970,971,972,973,974,975,976,977,978,979,980,981,982,983,984,985,986,987,988,
989,990,991,992,993,994,995,996,997,998,999,1000,1001,1002,1003,1004,1005,
1006,1007,1008,1009,1010,1011,1012,1013,1014,1015,1016,1017,1018,1019,1020,
1021,1022,1023,1024,1025,1026,1027,1028,1029,1030,1031,1032,1033,1034,1035,
1036,1037,1038,1039,1040,1041,1042,1043,1044,1045,1046,1047,1048,1049,1050,
1051,1052,1053,1054,1055,1056,1057,1058,1059,1060,1061,1062,1063,1064,1065,
1066,1067,1068,1069,1070,1071,1072,1073,1074,1075,1076,1077,1078,1079,1080,
1081,1082,1083,1084,1085,1086,1087,1088,1089,1090,1091,1092,1093,1094,1095,
1096,1097,1098,1099,1100,1101,1102,1103,1104,1105,1106,1107,1108,1109,1110,
1111,1112,1113,1114,1115,1116,1117,1118,1119,1120,1121,1122,1123,1124,1125,
1126,1127,1128,1129,1130,1131,1132,1133,1134,1135,1136,1137,1138,1139,1140,
1141,1142,1143,1144,1145,1146,1147,1148,1149,1150,1151,1152,1153,1154,1155,
1156,1157,1158,1159,1160,1161,1162,1163,1164,1165,1166,1167,1168,1169,1170,
1171,1172,1173,1174,1175,1176,1177,1178,1179,1180,1181,1182,1183,1184,1185,
1186,1187,1188,1189,1190,1191,1192,1193,1194,1195,1196,1197,1198,1199,1200,
1201,1202,1203,1204,1205,1206,1207,1208,1209,1210,1211,1212,1213,1214,1215,
1216,1217,1218,1219,1220,1221,1222,1223,1224,1225,1226,1227,1228,1229,1230,
1231,1232,1233,1234,1235,1236,1237,1244,1245,1252,1259,1260,1263,1267,1268,
1270,1271,1272,1273,1276,1282,1283,1284,1285,1286,1287,1289,1290,1293,1294,
1295,1297,1298,1300,1301,1302,1304,1306,1312,1313,1314,1315,1316,1317,1318,
1319,1320,1321,1322,1323,1324,1325,1326,1327,1328,1329,1330,1331,1332,1333,
1334,1335,1336,1337,1338,1339,1340,1341,1342,1343,1344,1345,1346,1347,1348,
1349,1350,1351,1352,1353,1354,1355,1356,1357,1358,1359,1360,1361,1362,1363,
1364,1365,1366,1367,1368,1369,1370,1371,1372,1373,1374,1375,1376,1377,1378,
1379,1380,1381,1382,1383,1384,1385,1386,1387,1388,1389,1390,1391,1392,1393,
1394,1395,1396,1397,1398,1399,1400,1401,1402,1403,1404,1405,1406,1407,1408,
1409,1410,1411,1412,1413,1414,1415,1416,1417,1418,1419,1420,1421,1422,1423,
1424,1425,1426,1427,1428,1429,1430,1431,1432,1433,1434,1435,1436,1437,1438,
1439,1440,1441,1442,1443,1444,1445,1446,1447,1448,1449,1450,1451,1452,1468,
1473,1474,1478,1480,1483,1484,1485,1491,1492,1493,1494,1499,1502,1503,1506,
1507,1509,1511,1514,1517,1518,1520,1524,1525,1535,1537,1538,1539,1541,1542,
1543,1544,1545,1546,1547,1548,1549,1550,1551,1552,1553,1554,1555,1556,1557,
1558,1559,1560,1561,1562,1563,1564,1565,1566,1567,1568,1569,1570,1571,1572,
1573,1574,1575,1576,1577,1578,1579,1580,1581,1582,1583,1584,1585,1586,1587,
1588,1589,1590,1591,1614,1619,1621,1623,1626,1627,1628,1629,1632,1634,1635,
1636,1637,1641,1642,1644,1646,1648,1649,1650,1652,1656,1659,1660,1665,1666,
1667,1668,1669,1670,1671,1672,1673,1674,1675,1676,1677,1678,1679,1689,1702,
1705,1706,1712,1724,1728,1730,1752],[1,2,3,4,5,7,8,9,10,11,12,13,14,15,16,17,
18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,42,43,45,47,
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,
157,158,159,160,161,162,163,164,165,166,169,171,177,178,180,182,183,184,185,
186,187,189,191,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,
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,
437,438,439,440,446,447,454,455,458,459,460,465,468,471,475,477,481,486,487,
488,492,493,499,500,501,503,504,506,507,508,509,510,511,512,513,514,515,516,
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,
802,803,804,805,806,807,808,809,810,811,812,813,814,815,816,817,818,819,820,
821,822,823,824,825,826,827,828,829,830,831,832,833,834,835,836,837,838,839,
840,841,842,843,844,845,846,847,848,849,850,851,852,853,854,855,856,857,866,
867,868,870,871,878,882,883,885,886,887,888,896,901,906,907,908,910,913,915,
921,924,931,943,952,953,954,955,956,957,958,959,960,961,962,963,964,965,966,
967,968,969,970,971,972,973,974,975,976,977,978,979,980,981,982,983,984,985,
986,987,988,989,990,991,992,993,994,995,996,997,998,999,1000,1001,1002,1003,
1004,1005,1006,1007,1008,1009,1010,1011,1012,1013,1014,1015,1016,1017,1018,
1019,1020,1021,1022,1023,1024,1025,1026,1027,1028,1029,1030,1031,1032,1033,
1034,1035,1036,1037,1038,1039,1040,1041,1042,1043,1044,1045,1046,1047,1048,
1049,1050,1051,1052,1053,1054,1055,1056,1057,1058,1059,1060,1061,1062,1063,
1064,1065,1066,1067,1068,1069,1070,1071,1072,1073,1074,1075,1076,1077,1078,
1079,1080,1081,1082,1083,1084,1085,1086,1087,1088,1089,1090,1091,1092,1093,
1094,1095,1096,1097,1098,1099,1100,1101,1102,1103,1104,1105,1106,1107,1108,
1109,1110,1111,1112,1113,1114,1115,1116,1117,1118,1119,1120,1121,1122,1123,
1124,1125,1126,1127,1128,1129,1130,1131,1132,1133,1134,1135,1136,1137,1138,
1139,1140,1141,1142,1143,1144,1145,1146,1147,1148,1149,1150,1151,1152,1153,
1154,1155,1156,1157,1158,1159,1160,1161,1162,1163,1164,1165,1166,1167,1168,
1169,1170,1171,1172,1173,1174,1175,1176,1177,1178,1179,1180,1181,1182,1183,
1184,1185,1186,1187,1188,1189,1190,1191,1192,1193,1194,1195,1196,1197,1198,
1199,1200,1201,1202,1203,1204,1205,1206,1207,1208,1209,1210,1211,1212,1213,
1214,1215,1216,1217,1218,1219,1220,1221,1222,1223,1224,1225,1226,1227,1228,
1229,1230,1231,1232,1233,1234,1235,1236,1237,1246,1247,1248,1249,1250,1253,
1254,1255,1257,1264,1266,1267,1268,1274,1277,1278,1279,1280,1282,1285,1293,
1296,1297,1302,1312,1313,1314,1315,1316,1317,1318,1319,1320,1321,1322,1323,
1324,1325,1326,1327,1328,1329,1330,1331,1332,1333,1334,1335,1336,1337,1338,
1339,1340,1341,1342,1343,1344,1345,1346,1347,1348,1349,1350,1351,1352,1353,
1354,1355,1356,1357,1358,1359,1360,1361,1362,1363,1364,1365,1366,1367,1368,
1369,1370,1371,1372,1373,1374,1375,1376,1377,1378,1379,1380,1381,1382,1383,
1384,1385,1386,1387,1388,1389,1390,1391,1392,1393,1394,1395,1396,1397,1398,
1399,1400,1401,1402,1403,1404,1405,1406,1407,1408,1409,1410,1411,1412,1413,
1414,1415,1416,1417,1418,1419,1420,1421,1422,1423,1424,1425,1426,1427,1428,
1429,1430,1431,1432,1433,1434,1435,1436,1437,1438,1439,1440,1441,1442,1443,
1444,1445,1446,1447,1448,1449,1450,1451,1452,1466,1470,1472,1482,1486,1487,
1488,1489,1512,1513,1519,1522,1523,1526,1527,1528,1530,1537,1541,1542,1543,
1544,1545,1546,1547,1548,1549,1550,1551,1552,1553,1554,1555,1556,1557,1558,
1559,1560,1561,1562,1563,1564,1565,1566,1567,1568,1569,1570,1571,1572,1573,
1574,1575,1576,1577,1578,1579,1580,1581,1582,1583,1584,1585,1586,1587,1588,
1589,1590,1591,1609,1610,1611,1612,1613,1615,1618,1620,1625,1631,1633,1643,
1654,1665,1666,1667,1668,1669,1670,1671,1672,1673,1674,1675,1676,1677,1678,
1679,1688,1692,1693,1694,1695,1696,1697,1698,1699,1704,1712,1726,1729,1732,
1733,1734,1735,1736,1753],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,
21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,39,40,43,44,45,47,48,50,51,52,54,
55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,
81,82,83,84,85,88,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,
107,108,109,110,114,115,116,117,118,119,120,121,122,124,125,126,127,128,133,
134,135,136,137,138,139,140,143,144,145,146,147,148,149,150,151,154,160,161,
165,167,169,170,171,172,173,174,175,176,177,178,180,181,182,183,184,191,194,
197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,
216,217,218,219,220,221,223,224,225,226,227,228,229,230,236,237,239,241,242,
243,244,247,248,249,250,251,258,259,260,267,268,269,276,277,278,279,280,281,
282,288,289,290,291,294,295,304,305,306,311,312,313,315,316,317,318,319,320,
321,322,323,324,325,326,328,331,335,336,337,338,344,345,346,347,348,349,350,
351,352,353,354,355,356,357,360,361,362,363,364,365,368,369,370,371,374,375,
377,378,379,381,382,383,384,385,386,387,388,389,390,391,392,393,394,395,399,
400,401,402,407,408,409,410,411,412,413,414,428,429,430,431,443,446,447,450,
451,452,453,456,457,471,472,473,474,475,476,477,478,479,480,481,486,487,488,
490,491,492,495,496,503,509,510,513,514,515,516,518,519,520,521,522,523,524,
526,527,528,529,530,533,534,535,536,537,538,540,541,542,543,544,545,546,547,
548,549,550,554,555,556,557,560,561,562,572,573,574,575,577,578,579,580,581,
582,584,585,589,590,592,594,595,597,598,599,600,601,602,603,604,605,606,607,
608,609,613,614,615,616,617,618,619,620,621,622,626,627,632,633,637,638,639,
642,643,644,650,651,655,656,657,658,659,660,661,662,665,666,668,669,670,671,
672,675,676,677,678,679,680,689,690,695,697,705,706,707,711,712,724,725,726,
729,737,738,749,750,751,752,773,776,777,778,791,794,800,801,802,804,805,806,
807,809,810,813,814,831,838,840,853,858,859,864,865,866,867,868,869,870,871,
872,873,874,875,876,877,878,882,883,884,885,886,897,898,899,900,902,903,904,
905,931,937,941,952,953,954,958,959,960,961,962,963,964,972,973,974,975,977,
978,979,980,981,982,983,984,985,986,988,992,995,996,1001,1002,1010,1011,1012,
1016,1017,1031,1032,1033,1037,1049,1050,1051,1052,1053,1065,1066,1070,1071,
1072,1073,1074,1075,1078,1080,1081,1082,1089,1090,1091,1092,1121,1125,1128,
1131,1132,1138,1139,1147,1150,1152,1157,1164,1167,1169,1189,1190,1193,1194,
1207,1214,1240,1241,1244,1245,1259,1260,1263,1264,1265,1266,1267,1270,1271,
1275,1277,1278,1279,1280,1281,1288,1302,1313,1316,1318,1319,1320,1333,1337,
1348,1351,1363,1364,1370,1372,1374,1379,1380,1382,1385,1393,1395,1400,1403,
1407,1432,1453,1454,1455,1466,1467,1468,1469,1470,1471,1472,1473,1474,1484,
1485,1491,1492,1493,1494,1506,1507,1512,1519,1532,1535,1541,1543,1545,1552,
1553,1565,1567,1597,1598,1612,1613,1614,1616,1633,1635,1637,1665,1680,1681,
1688,1689,1691,1697,1699,1714,1724,1734,1740,1754],[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,
41,42,43,44,47,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,
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,
103,104,105,106,107,108,109,110,111,112,113,123,124,125,126,127,128,129,130,
131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,156,157,
158,159,160,161,162,165,166,167,169,170,171,172,173,174,175,176,177,178,180,
181,187,188,189,190,194,203,204,205,206,207,208,209,210,211,212,213,214,215,
216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,243,244,245,
246,247,248,249,250,251,252,257,258,259,260,261,262,263,264,265,266,267,268,
269,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,
294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,335,336,337,338,
339,340,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,
391,392,393,394,395,396,397,398,399,400,401,402,403,404,405,406,407,408,409,
410,411,412,413,414,415,416,417,418,419,420,421,428,429,430,431,432,433,434,
435,436,437,438,439,440,441,459,460,461,462,465,466,467,468,469,470,471,472,
473,474,475,476,477,478,479,480,490,491,495,496,501,502,523,524,525,526,527,
528,529,530,531,532,533,534,535,536,537,538,539,540,541,542,543,546,547,548,
549,550,551,552,553,554,555,556,557,558,559,560,561,562,563,564,565,566,567,
568,569,570,571,572,573,617,618,619,620,621,622,623,624,625,626,627,628,629,
632,633,634,635,636,637,638,639,640,641,642,643,644,645,646,670,671,672,673,
674,675,677,678,679,680,681,688,689,690,695,696,697,702,703,704,705,706,707,
708,709,710,711,712,724,725,726,727,728,729,736,737,738,745,746,747,748,749,
750,751,752,767,768,769,770,771,772,773,774,775,776,777,778,789,790,791,792,
793,794,795,796,797,798,799,800,801,802,803,832,833,834,835,836,837,838,839,
840,847,848,849,850,851,852,854,855,856,857,858,859,864,865,866,867,868,869,
870,871,872,873,874,875,876,877,884,894,895,896,915,917,918,919,920,921,922,
923,924,925,926,927,928,932,935,937,941,953,954,958,959,960,961,962,963,964,
965,966,967,986,987,996,997,998,999,1000,1001,1002,1003,1010,1011,1012,1016,
1017,1018,1031,1032,1033,1034,1035,1036,1037,1038,1062,1063,1064,1065,1066,
1067,1068,1069,1073,1074,1076,1101,1102,1103,1104,1105,1106,1107,1112,1113,
1114,1115,1128,1129,1130,1131,1132,1133,1138,1139,1147,1148,1149,1150,1151,
1152,1157,1164,1165,1166,1167,1168,1170,1171,1172,1173,1174,1175,1189,1190,
1191,1192,1193,1194,1201,1202,1203,1204,1205,1206,1207,1214,1215,1219,1223,
1224,1228,1229,1230,1231,1232,1233,1234,1235,1238,1239,1251,1252,1253,1254,
1255,1256,1257,1259,1260,1263,1264,1265,1275,1279,1280,1281,1288,1289,1290,
1291,1292,1297,1298,1299,1303,1304,1317,1318,1321,1327,1328,1333,1337,1338,
1339,1340,1354,1355,1359,1371,1372,1373,1374,1388,1400,1401,1402,1410,1413,
1414,1415,1419,1420,1421,1422,1423,1424,1425,1432,1433,1434,1439,1442,1445,
1446,1447,1450,1451,1453,1454,1455,1466,1467,1468,1469,1471,1472,1473,1474,
1480,1482,1483,1490,1499,1506,1507,1513,1514,1515,1517,1519,1520,1521,1528,
1529,1530,1531,1532,1535,1536,1541,1550,1558,1562,1573,1577,1578,1582,1583,
1584,1585,1592,1593,1594,1611,1612,1616,1617,1621,1622,1625,1627,1648,1654,
1655,1656,1659,1662,1678,1680,1681,1688,1689,1691,1696,1698,1700,1701,1713,
1717,1728,1732,1737,1740,1755],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,
19,20,21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,39,40,43,44,45,47,49,53,57,
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,
84,85,88,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,111,112,113,114,
115,116,117,118,119,120,121,122,124,125,126,127,128,133,134,135,136,137,138,
139,140,143,144,145,146,147,152,153,155,160,161,165,167,169,170,171,172,173,
174,175,176,177,178,180,181,182,183,184,191,194,195,196,203,204,205,206,207,
208,209,210,211,212,213,214,215,216,217,218,219,220,221,223,224,225,226,227,
228,229,230,232,233,234,235,238,240,243,244,247,248,249,250,251,253,254,258,
259,260,264,265,266,267,268,269,270,271,272,273,276,277,278,279,280,281,282,
283,284,285,287,292,293,304,305,306,309,310,314,317,318,319,320,321,322,327,
329,330,332,333,334,335,336,337,338,341,342,343,344,345,346,347,348,349,350,
351,352,353,358,359,366,367,372,373,374,375,377,378,379,381,382,383,384,385,
386,387,388,389,390,391,396,397,398,401,402,407,408,409,410,411,412,413,414,
422,423,428,429,430,431,443,446,447,454,455,458,471,472,473,474,475,476,477,
478,479,480,481,484,485,490,491,492,495,496,503,506,507,508,511,512,517,521,
522,523,524,526,527,528,529,530,534,535,536,537,538,540,541,542,543,546,547,
548,549,550,551,552,553,554,555,558,559,562,572,573,576,583,586,587,588,591,
593,596,601,602,603,604,605,606,607,608,609,610,611,612,617,618,619,620,621,
622,626,627,630,631,632,633,637,638,639,644,647,648,649,652,653,654,663,664,
667,668,669,670,671,672,675,677,678,679,680,686,687,689,690,695,697,698,699,
702,703,704,705,706,707,708,709,711,712,713,714,715,724,725,726,729,730,731,
737,738,739,740,741,744,749,750,751,752,757,758,759,762,763,764,765,766,767,
768,769,773,776,777,778,779,780,781,786,787,788,791,794,796,797,798,799,800,
801,804,805,806,807,808,811,812,815,816,838,840,845,846,858,859,864,865,866,
867,868,869,870,871,872,873,874,875,876,877,878,880,881,884,885,886,901,906,
929,930,931,937,938,941,942,953,954,958,959,960,961,963,964,968,969,970,971,
976,980,981,986,989,990,991,993,994,1001,1002,1004,1005,1010,1011,1012,1016,
1017,1019,1020,1023,1024,1025,1031,1032,1033,1035,1036,1037,1039,1040,1041,
1042,1043,1044,1045,1046,1047,1048,1049,1050,1063,1064,1066,1073,1074,1077,
1079,1083,1084,1085,1086,1087,1088,1089,1090,1091,1092,1102,1103,1108,1109,
1110,1111,1114,1115,1116,1117,1118,1119,1120,1131,1132,1134,1135,1138,1139,
1147,1150,1152,1153,1154,1157,1160,1161,1162,1164,1167,1182,1183,1184,1189,
1190,1193,1194,1207,1214,1220,1221,1222,1240,1241,1246,1247,1248,1249,1250,
1259,1260,1263,1264,1265,1267,1275,1276,1279,1280,1281,1288,1300,1301,1302,
1306,1312,1314,1315,1318,1322,1323,1324,1325,1326,1328,1330,1331,1333,1337,
1341,1342,1343,1345,1346,1349,1350,1356,1357,1358,1360,1361,1362,1372,1374,
1375,1376,1383,1384,1389,1390,1391,1392,1403,1404,1405,1406,1428,1432,1437,
1438,1453,1454,1455,1466,1467,1468,1469,1471,1472,1473,1474,1478,1486,1487,
1502,1503,1506,1507,1509,1511,1518,1519,1522,1523,1532,1535,1541,1554,1555,
1559,1560,1563,1579,1589,1590,1596,1598,1609,1610,1612,1616,1618,1629,1634,
1641,1660,1667,1680,1681,1688,1689,1691,1692,1693,1715,1726,1730,1740,1756],[
1,2,5,6,7,8,25,26,27,31,33,37,38,41,42,43,47,88,89,90,123,124,131,132,143,156,
157,161,162,166,167,168,169,172,173,174,179,180,187,189,194,224,259,260,335,
338,339,340,409,420,421,433,434,439,440,441,463,464,465,466,469,470,471,489,
494,501,572,573,625,681,725,745,832,835,836,849,852,858,862,864,869,871,884,
915,916,921,933,948,949,950,954,1076,1107,1173,1205,1206,1219,1238,1243,1251,
1256,1258,1297,1303,1446,1453,1457,1467,1479,1500,1516,1592,1606,1607,1617,
1624,1682,1709,1710,1757],[1,2,5,6,7,8,25,26,27,31,33,37,38,41,42,43,44,47,88,
89,90,123,124,131,132,143,156,157,161,162,166,167,168,169,170,171,172,173,174,
180,181,187,188,189,190,193,194,224,259,260,335,338,339,340,409,420,421,433,
434,439,440,441,442,444,465,466,467,468,469,470,471,490,491,496,501,502,505,
572,573,625,681,725,745,832,835,836,849,852,858,859,860,864,869,870,871,872,
873,884,915,919,920,921,927,928,932,935,941,948,949,951,954,1076,1107,1173,
1205,1206,1219,1238,1239,1243,1251,1256,1257,1275,1279,1297,1298,1299,1303,
1304,1309,1310,1446,1453,1455,1457,1465,1467,1471,1472,1473,1521,1528,1530,
1531,1540,1592,1594,1595,1599,1608,1617,1654,1655,1656,1664,1681,1684,1709,
1711,1717,1738,1750,1758],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,
21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,47,48,
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,
157,158,159,160,161,162,163,164,165,166,167,169,170,171,172,173,174,175,176,
177,178,180,181,182,183,184,185,186,187,188,189,190,191,194,195,196,197,198,
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,
427,428,429,430,431,432,433,434,435,436,437,438,439,440,441,443,446,447,450,
451,452,453,454,455,456,457,458,459,460,461,462,465,466,467,468,469,470,471,
472,473,474,475,476,477,478,479,480,481,484,485,486,487,488,490,491,492,493,
495,496,499,500,501,502,503,504,506,507,508,509,510,511,512,513,514,515,516,
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,
802,803,804,805,806,807,808,809,810,811,812,813,814,815,816,817,818,819,820,
821,822,823,824,825,826,827,828,829,830,831,832,833,834,835,836,837,838,839,
840,841,842,843,844,845,846,847,848,849,850,851,852,853,854,855,856,857,858,
859,861,864,865,866,867,868,869,870,871,872,873,874,875,876,877,878,880,881,
882,883,884,885,886,887,888,894,895,896,897,898,899,900,901,902,903,904,905,
906,907,908,909,910,911,912,913,914,915,917,918,919,920,921,922,923,924,925,
926,927,928,929,930,931,932,935,937,938,941,942,943,952,953,954,955,956,957,
958,959,960,961,962,963,964,965,966,967,968,969,970,971,972,973,974,975,976,
977,978,979,980,981,982,983,984,985,986,987,988,989,990,991,992,993,994,995,
996,997,998,999,1000,1001,1002,1003,1004,1005,1006,1007,1008,1009,1010,1011,
1012,1013,1014,1015,1016,1017,1018,1019,1020,1021,1022,1023,1024,1025,1026,
1027,1028,1029,1030,1031,1032,1033,1034,1035,1036,1037,1038,1039,1040,1041,
1042,1043,1044,1045,1046,1047,1048,1049,1050,1051,1052,1053,1054,1055,1056,
1057,1058,1059,1060,1061,1062,1063,1064,1065,1066,1067,1068,1069,1070,1071,
1072,1073,1074,1075,1076,1077,1078,1079,1080,1081,1082,1083,1084,1085,1086,
1087,1088,1089,1090,1091,1092,1093,1094,1095,1096,1097,1098,1099,1100,1101,
1102,1103,1104,1105,1106,1107,1108,1109,1110,1111,1112,1113,1114,1115,1116,
1117,1118,1119,1120,1121,1122,1123,1124,1125,1126,1127,1128,1129,1130,1131,
1132,1133,1134,1135,1136,1137,1138,1139,1140,1141,1142,1143,1144,1145,1146,
1147,1148,1149,1150,1151,1152,1153,1154,1155,1156,1157,1158,1159,1160,1161,
1162,1163,1164,1165,1166,1167,1168,1169,1170,1171,1172,1173,1174,1175,1176,
1177,1178,1179,1180,1181,1182,1183,1184,1185,1186,1187,1188,1189,1190,1191,
1192,1193,1194,1195,1196,1197,1198,1199,1200,1201,1202,1203,1204,1205,1206,
1207,1208,1209,1210,1211,1212,1213,1214,1215,1216,1217,1218,1219,1220,1221,
1222,1223,1224,1225,1226,1227,1228,1229,1230,1231,1232,1233,1234,1235,1236,
1237,1238,1239,1240,1241,1244,1245,1246,1247,1248,1249,1250,1251,1252,1253,
1254,1255,1256,1257,1259,1260,1263,1264,1265,1266,1267,1268,1270,1271,1272,
1273,1274,1275,1276,1277,1278,1279,1280,1281,1282,1283,1284,1285,1286,1287,
1288,1289,1290,1291,1292,1293,1294,1295,1296,1297,1298,1299,1300,1301,1302,
1303,1304,1306,1312,1313,1314,1315,1316,1317,1318,1319,1320,1321,1322,1323,
1324,1325,1326,1327,1328,1329,1330,1331,1332,1333,1334,1335,1336,1337,1338,
1339,1340,1341,1342,1343,1344,1345,1346,1347,1348,1349,1350,1351,1352,1353,
1354,1355,1356,1357,1358,1359,1360,1361,1362,1363,1364,1365,1366,1367,1368,
1369,1370,1371,1372,1373,1374,1375,1376,1377,1378,1379,1380,1381,1382,1383,
1384,1385,1386,1387,1388,1389,1390,1391,1392,1393,1394,1395,1396,1397,1398,
1399,1400,1401,1402,1403,1404,1405,1406,1407,1408,1409,1410,1411,1412,1413,
1414,1415,1416,1417,1418,1419,1420,1421,1422,1423,1424,1425,1426,1427,1428,
1429,1430,1431,1432,1433,1434,1435,1436,1437,1438,1439,1440,1441,1442,1443,
1444,1445,1446,1447,1448,1449,1450,1451,1452,1453,1454,1455,1456,1466,1467,
1468,1469,1470,1471,1472,1473,1474,1478,1480,1482,1483,1484,1485,1486,1487,
1488,1489,1490,1491,1492,1493,1494,1499,1502,1503,1506,1507,1509,1511,1512,
1513,1514,1515,1517,1518,1519,1520,1521,1522,1523,1524,1525,1526,1527,1528,
1529,1530,1531,1532,1535,1536,1537,1538,1539,1541,1542,1543,1544,1545,1546,
1547,1548,1549,1550,1551,1552,1553,1554,1555,1556,1557,1558,1559,1560,1561,
1562,1563,1564,1565,1566,1567,1568,1569,1570,1571,1572,1573,1574,1575,1576,
1577,1578,1579,1580,1581,1582,1583,1584,1585,1586,1587,1588,1589,1590,1591,
1592,1593,1594,1596,1597,1598,1609,1610,1611,1612,1613,1614,1615,1616,1617,
1618,1619,1620,1621,1622,1623,1625,1626,1627,1628,1629,1631,1632,1633,1634,
1635,1636,1637,1641,1642,1643,1644,1646,1648,1649,1650,1652,1654,1655,1656,
1659,1660,1662,1665,1666,1667,1668,1669,1670,1671,1672,1673,1674,1675,1676,
1677,1678,1679,1680,1681,1683,1685,1688,1689,1691,1692,1693,1694,1695,1696,
1697,1698,1699,1700,1701,1702,1704,1705,1706,1712,1713,1714,1715,1717,1724,
1726,1728,1729,1730,1732,1733,1734,1735,1736,1737,1740,1741,1752,1753,1754,
1755,1756,1759],[1,2,3,4,5,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,
25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,42,43,45,46,47,48,49,50,51,52,53,
54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,
81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,
105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,123,124,
126,127,128,129,130,131,132,133,134,135,136,137,138,140,141,142,143,144,145,
147,148,149,150,151,152,153,154,155,156,157,158,159,160,162,163,164,165,169,
171,175,176,177,178,179,182,184,185,186,187,195,196,197,198,199,200,201,202,
203,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,
223,224,225,226,227,229,231,232,233,235,236,237,238,239,240,241,242,244,245,
246,247,248,249,251,252,253,255,256,257,261,262,263,264,265,270,271,274,275,
276,277,279,280,282,283,284,285,286,287,288,289,290,291,292,296,297,298,299,
300,301,302,303,304,306,307,308,309,310,311,312,313,314,317,318,319,320,322,
323,324,325,326,327,328,329,330,331,332,333,334,336,337,338,339,340,341,343,
344,345,346,347,349,350,352,354,355,356,357,358,359,360,361,362,363,364,365,
366,367,368,369,370,371,372,373,375,376,377,378,379,380,381,382,383,386,387,
388,389,391,392,393,394,395,396,397,398,399,400,401,402,403,404,405,406,407,
408,409,411,412,413,414,415,416,417,418,419,420,421,423,424,425,426,427,428,
432,433,445,446,447,448,449,450,451,452,453,454,455,458,459,460,461,462,463,
464,465,468,471,472,473,475,477,481,482,483,484,485,486,487,488,489,493,494,
495,497,498,506,507,509,510,511,512,513,514,515,516,517,518,519,520,521,524,
525,526,529,530,531,532,533,534,535,536,537,538,539,540,541,542,543,544,545,
546,547,550,551,552,553,554,556,557,559,560,561,562,563,564,565,566,567,568,
569,570,571,572,574,575,576,577,578,579,580,581,582,583,584,585,586,587,588,
589,590,591,592,593,594,595,597,601,602,603,604,605,606,607,610,611,612,613,
614,615,616,617,618,619,620,621,623,624,625,628,629,630,633,634,635,636,638,
640,641,642,644,645,646,647,648,649,650,651,652,653,654,655,657,658,659,660,
661,662,663,664,665,666,667,669,671,672,673,674,675,676,679,681,682,683,684,
685,687,688,691,692,693,694,696,699,700,701,702,703,708,710,713,714,716,717,
718,719,720,721,722,723,727,728,730,732,733,734,735,736,739,742,743,753,754,
755,756,757,758,760,761,762,763,766,767,768,770,771,772,774,775,779,780,782,
783,784,785,786,787,789,790,792,793,797,799,800,803,806,807,812,815,817,818,
819,820,821,822,823,824,825,826,827,828,829,830,833,834,835,836,839,841,842,
843,844,845,853,866,867,868,870,878,879,880,881,882,883,886,887,888,889,890,
891,892,893,894,895,896,897,900,901,907,908,909,910,911,912,913,914,915,916,
936,938,939,940,944,946,947,952,953,955,956,957,961,962,963,964,965,966,967,
968,969,970,971,972,973,974,975,976,977,979,981,982,983,984,985,986,987,989,
990,991,993,994,997,998,999,1000,1003,1004,1006,1007,1008,1009,1013,1014,1015,
1018,1019,1021,1022,1023,1024,1026,1027,1028,1029,1030,1034,1035,1041,1043,
1045,1047,1054,1055,1056,1057,1058,1059,1060,1061,1067,1068,1069,1070,1071,
1072,1073,1074,1075,1083,1086,1089,1093,1094,1095,1096,1097,1098,1099,1100,
1102,1104,1105,1106,1107,1118,1120,1123,1124,1126,1127,1130,1133,1134,1136,
1137,1140,1141,1142,1143,1144,1145,1146,1151,1153,1155,1156,1158,1159,1160,
1161,1163,1165,1166,1169,1178,1179,1180,1181,1182,1183,1185,1186,1187,1188,
1191,1192,1208,1209,1210,1211,1212,1213,1246,1247,1248,1249,1250,1253,1254,
1255,1257,1258,1260,1261,1262,1264,1266,1268,1269,1272,1273,1274,1277,1278,
1279,1280,1314,1315,1317,1318,1319,1320,1334,1335,1336,1349,1352,1353,1354,
1360,1361,1366,1367,1368,1369,1371,1373,1375,1377,1378,1379,1380,1384,1386,
1387,1388,1390,1392,1396,1397,1398,1399,1402,1405,1408,1409,1410,1430,1431,
1458,1459,1461,1462,1464,1466,1470,1475,1476,1477,1482,1487,1488,1489,1492,
1495,1496,1497,1498,1499,1500,1501,1503,1504,1505,1508,1522,1526,1527,1528,
1533,1534,1542,1544,1545,1554,1556,1557,1558,1566,1568,1569,1570,1609,1610,
1611,1612,1613,1615,1636,1638,1639,1640,1663,1666,1690,1693,1694,1695,1696,
1699,1718,1720,1721,1722,1723,1725,1733,1760],[1,2,3,4,5,6,7,8,9,10,11,12,13,
14,15,25,26,27,28,29,30,31,32,33,37,38,39,40,41,42,43,44,45,47,80,81,82,83,84,
85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,123,124,125,126,127,
128,129,130,131,132,143,144,145,146,147,156,157,158,159,160,161,162,166,167,
168,169,172,173,174,179,180,182,183,184,185,186,187,188,189,191,194,221,222,
223,224,225,226,227,228,229,230,231,251,252,257,259,260,267,268,269,304,305,
306,307,308,335,336,337,338,339,340,374,375,376,377,378,379,380,409,410,411,
412,413,414,415,416,417,418,419,420,421,430,431,432,433,434,435,436,437,438,
439,440,441,442,443,444,446,447,448,449,463,464,465,466,469,470,471,478,479,
480,481,482,483,489,491,492,493,494,499,500,501,503,504,523,524,525,538,539,
546,572,573,617,618,619,620,621,622,623,624,625,626,627,670,671,672,673,674,
681,688,689,690,697,711,712,724,725,726,736,738,745,748,749,750,751,752,777,
778,832,833,834,835,836,837,840,849,850,851,852,854,855,857,858,860,861,862,
864,869,871,878,879,884,885,886,887,888,889,890,891,892,893,915,916,917,918,
920,921,931,933,934,936,943,948,949,950,954,986,987,1003,1012,1031,1038,1068,
1069,1076,1104,1105,1106,1107,1112,1147,1149,1152,1157,1170,1173,1174,1194,
1204,1205,1206,1214,1219,1224,1229,1230,1233,1234,1238,1240,1241,1242,1243,
1251,1256,1258,1265,1267,1268,1269,1275,1281,1282,1285,1288,1293,1297,1302,
1303,1305,1309,1310,1311,1321,1333,1410,1413,1419,1421,1424,1433,1442,1446,
1447,1453,1456,1457,1467,1479,1481,1490,1500,1501,1508,1510,1516,1521,1536,
1537,1584,1592,1595,1598,1599,1606,1607,1616,1617,1624,1630,1640,1645,1647,
1651,1653,1682,1683,1684,1686,1687,1701,1703,1709,1710,1716,1738,1739,1757,
1761],[1,3,5,6,7,14,16,18,25,29,31,34,37,38,39,41,42,44,45,46,48,49,74,86,92,
108,112,116,129,131,141,148,152,159,163,167,168,170,171,173,176,178,179,181,
185,188,190,193,209,296,300,325,330,355,367,406,416,426,441,442,443,444,445,
449,452,455,460,462,464,467,468,470,478,483,485,486,497,502,505,567,575,576,
682,820,823,827,859,860,861,862,865,866,874,892,907,909,917,925,945,946,948,
950,951,1093,1239,1242,1244,1246,1252,1253,1261,1276,1277,1291,1309,1311,1454,
1459,1460,1461,1463,1464,1465,1495,1524,1527,1593,1596,1597,1606,1608,1685,
1686,1719,1721,1742,1762],[1,2,3,4,5,7,8,9,10,11,12,13,14,15,16,17,18,19,20,
21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,42,43,45,46,47,48,49,
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,
158,159,160,161,162,163,164,165,166,169,170,175,176,177,178,179,180,182,183,
184,185,186,187,189,191,192,194,195,196,197,198,199,200,201,202,203,204,205,
206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,
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,
434,435,436,437,438,439,440,445,446,447,448,449,450,451,452,453,454,455,456,
457,458,459,460,461,462,463,464,465,467,471,472,473,474,475,476,477,481,482,
483,484,485,486,487,488,489,490,492,493,494,495,496,497,498,499,500,501,503,
504,506,507,508,509,510,511,512,513,514,515,516,517,518,519,520,521,522,523,
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,
809,810,811,812,813,814,815,816,817,818,819,820,821,822,823,824,825,826,827,
828,829,830,831,832,833,834,835,836,837,838,839,840,841,842,843,844,845,846,
847,848,849,850,851,852,853,854,855,856,857,863,865,868,871,872,876,877,878,
879,880,881,882,883,885,886,887,888,889,890,891,892,893,894,895,896,897,898,
899,900,901,902,903,904,905,906,907,908,909,910,911,912,913,914,915,916,919,
921,922,923,924,927,929,930,931,932,933,934,935,936,937,938,939,940,941,942,
943,944,945,952,953,954,955,956,957,958,959,960,961,962,963,964,965,966,967,
968,969,970,971,972,973,974,975,976,977,978,979,980,981,982,983,984,985,986,
987,988,989,990,991,992,993,994,995,996,997,998,999,1000,1001,1002,1003,1004,
1005,1006,1007,1008,1009,1010,1011,1012,1013,1014,1015,1016,1017,1018,1019,
1020,1021,1022,1023,1024,1025,1026,1027,1028,1029,1030,1031,1032,1033,1034,
1035,1036,1037,1038,1039,1040,1041,1042,1043,1044,1045,1046,1047,1048,1049,
1050,1051,1052,1053,1054,1055,1056,1057,1058,1059,1060,1061,1062,1063,1064,
1065,1066,1067,1068,1069,1070,1071,1072,1073,1074,1075,1076,1077,1078,1079,
1080,1081,1082,1083,1084,1085,1086,1087,1088,1089,1090,1091,1092,1093,1094,
1095,1096,1097,1098,1099,1100,1101,1102,1103,1104,1105,1106,1107,1108,1109,
1110,1111,1112,1113,1114,1115,1116,1117,1118,1119,1120,1121,1122,1123,1124,
1125,1126,1127,1128,1129,1130,1131,1132,1133,1134,1135,1136,1137,1138,1139,
1140,1141,1142,1143,1144,1145,1146,1147,1148,1149,1150,1151,1152,1153,1154,
1155,1156,1157,1158,1159,1160,1161,1162,1163,1164,1165,1166,1167,1168,1169,
1170,1171,1172,1173,1174,1175,1176,1177,1178,1179,1180,1181,1182,1183,1184,
1185,1186,1187,1188,1189,1190,1191,1192,1193,1194,1195,1196,1197,1198,1199,
1200,1201,1202,1203,1204,1205,1206,1207,1208,1209,1210,1211,1212,1213,1214,
1215,1216,1217,1218,1219,1220,1221,1222,1223,1224,1225,1226,1227,1228,1229,
1230,1231,1232,1233,1234,1235,1236,1237,1244,1245,1248,1249,1250,1252,1255,
1258,1259,1260,1261,1262,1263,1264,1266,1267,1268,1269,1270,1271,1272,1273,
1274,1276,1280,1282,1283,1284,1285,1286,1287,1289,1290,1293,1294,1295,1296,
1297,1298,1300,1301,1302,1304,1305,1306,1307,1308,1312,1313,1314,1315,1316,
1317,1318,1319,1320,1321,1322,1323,1324,1325,1326,1327,1328,1329,1330,1331,
1332,1333,1334,1335,1336,1337,1338,1339,1340,1341,1342,1343,1344,1345,1346,
1347,1348,1349,1350,1351,1352,1353,1354,1355,1356,1357,1358,1359,1360,1361,
1362,1363,1364,1365,1366,1367,1368,1369,1370,1371,1372,1373,1374,1375,1376,
1377,1378,1379,1380,1381,1382,1383,1384,1385,1386,1387,1388,1389,1390,1391,
1392,1393,1394,1395,1396,1397,1398,1399,1400,1401,1402,1403,1404,1405,1406,
1407,1408,1409,1410,1411,1412,1413,1414,1415,1416,1417,1418,1419,1420,1421,
1422,1423,1424,1425,1426,1427,1428,1429,1430,1431,1432,1433,1434,1435,1436,
1437,1438,1439,1440,1441,1442,1443,1444,1445,1446,1447,1448,1449,1450,1451,
1452,1458,1459,1460,1462,1463,1468,1470,1473,1474,1475,1476,1477,1478,1479,
1480,1481,1482,1483,1484,1485,1486,1487,1488,1489,1491,1492,1493,1494,1495,
1496,1497,1498,1499,1500,1501,1502,1503,1504,1505,1506,1507,1508,1509,1510,
1511,1512,1513,1514,1516,1517,1518,1519,1520,1522,1523,1524,1525,1533,1534,
1535,1537,1538,1539,1541,1542,1543,1544,1545,1546,1547,1548,1549,1550,1551,
1552,1553,1554,1555,1556,1557,1558,1559,1560,1561,1562,1563,1564,1565,1566,
1567,1568,1569,1570,1571,1572,1573,1574,1575,1576,1577,1578,1579,1580,1581,
1582,1583,1584,1585,1586,1587,1588,1589,1590,1591,1600,1601,1602,1603,1604,
1605,1614,1615,1618,1619,1620,1621,1623,1624,1625,1626,1627,1628,1629,1630,
1631,1632,1633,1634,1635,1636,1637,1638,1639,1640,1641,1642,1643,1644,1645,
1646,1647,1648,1649,1650,1651,1652,1653,1656,1657,1658,1659,1660,1661,1665,
1666,1667,1668,1669,1670,1671,1672,1673,1674,1675,1676,1677,1678,1679,1689,
1690,1702,1703,1704,1705,1706,1708,1712,1719,1722,1724,1725,1727,1728,1730,
1731,1743,1744,1745,1746,1747,1751,1752,1763],[1,2,3,4,5,7,8,9,10,11,12,13,14,
15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,42,
43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,
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,
154,155,156,157,158,159,160,161,162,163,164,165,166,169,171,175,176,177,178,
179,180,182,183,184,185,186,187,189,191,192,194,195,196,197,198,199,200,201,
202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,
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,
430,431,432,433,434,435,436,437,438,439,440,445,446,447,448,449,450,451,452,
453,454,455,456,457,458,459,460,461,462,463,464,465,468,471,472,473,474,475,
476,477,481,482,483,484,485,486,487,488,489,492,493,494,495,497,498,499,500,
501,503,504,506,507,508,509,510,511,512,513,514,515,516,517,518,519,520,521,
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,
807,808,809,810,811,812,813,814,815,816,817,818,819,820,821,822,823,824,825,
826,827,828,829,830,831,832,833,834,835,836,837,838,839,840,841,842,843,844,
845,846,847,848,849,850,851,852,853,854,855,856,857,863,866,867,868,870,871,
876,877,878,879,880,881,882,883,885,886,887,888,889,890,891,892,893,894,895,
896,897,898,899,900,901,902,903,904,905,906,907,908,909,910,911,912,913,914,
915,916,921,922,923,924,929,930,931,933,934,936,937,938,939,940,942,943,944,
946,947,952,953,954,955,956,957,958,959,960,961,962,963,964,965,966,967,968,
969,970,971,972,973,974,975,976,977,978,979,980,981,982,983,984,985,986,987,
988,989,990,991,992,993,994,995,996,997,998,999,1000,1001,1002,1003,1004,1005,
1006,1007,1008,1009,1010,1011,1012,1013,1014,1015,1016,1017,1018,1019,1020,
1021,1022,1023,1024,1025,1026,1027,1028,1029,1030,1031,1032,1033,1034,1035,
1036,1037,1038,1039,1040,1041,1042,1043,1044,1045,1046,1047,1048,1049,1050,
1051,1052,1053,1054,1055,1056,1057,1058,1059,1060,1061,1062,1063,1064,1065,
1066,1067,1068,1069,1070,1071,1072,1073,1074,1075,1076,1077,1078,1079,1080,
1081,1082,1083,1084,1085,1086,1087,1088,1089,1090,1091,1092,1093,1094,1095,
1096,1097,1098,1099,1100,1101,1102,1103,1104,1105,1106,1107,1108,1109,1110,
1111,1112,1113,1114,1115,1116,1117,1118,1119,1120,1121,1122,1123,1124,1125,
1126,1127,1128,1129,1130,1131,1132,1133,1134,1135,1136,1137,1138,1139,1140,
1141,1142,1143,1144,1145,1146,1147,1148,1149,1150,1151,1152,1153,1154,1155,
1156,1157,1158,1159,1160,1161,1162,1163,1164,1165,1166,1167,1168,1169,1170,
1171,1172,1173,1174,1175,1176,1177,1178,1179,1180,1181,1182,1183,1184,1185,
1186,1187,1188,1189,1190,1191,1192,1193,1194,1195,1196,1197,1198,1199,1200,
1201,1202,1203,1204,1205,1206,1207,1208,1209,1210,1211,1212,1213,1214,1215,
1216,1217,1218,1219,1220,1221,1222,1223,1224,1225,1226,1227,1228,1229,1230,
1231,1232,1233,1234,1235,1236,1237,1246,1247,1248,1249,1250,1253,1254,1255,
1257,1258,1260,1261,1262,1264,1266,1267,1268,1269,1270,1271,1272,1273,1274,
1277,1278,1279,1280,1282,1283,1284,1285,1286,1287,1289,1290,1293,1294,1295,
1296,1297,1300,1301,1302,1305,1306,1307,1312,1313,1314,1315,1316,1317,1318,
1319,1320,1321,1322,1323,1324,1325,1326,1327,1328,1329,1330,1331,1332,1333,
1334,1335,1336,1337,1338,1339,1340,1341,1342,1343,1344,1345,1346,1347,1348,
1349,1350,1351,1352,1353,1354,1355,1356,1357,1358,1359,1360,1361,1362,1363,
1364,1365,1366,1367,1368,1369,1370,1371,1372,1373,1374,1375,1376,1377,1378,
1379,1380,1381,1382,1383,1384,1385,1386,1387,1388,1389,1390,1391,1392,1393,
1394,1395,1396,1397,1398,1399,1400,1401,1402,1403,1404,1405,1406,1407,1408,
1409,1410,1411,1412,1413,1414,1415,1416,1417,1418,1419,1420,1421,1422,1423,
1424,1425,1426,1427,1428,1429,1430,1431,1432,1433,1434,1435,1436,1437,1438,
1439,1440,1441,1442,1443,1444,1445,1446,1447,1448,1449,1450,1451,1452,1458,
1459,1461,1462,1464,1466,1470,1472,1475,1476,1477,1479,1481,1482,1486,1487,
1488,1489,1491,1492,1495,1496,1497,1498,1499,1500,1501,1502,1503,1504,1505,
1506,1508,1510,1512,1513,1516,1519,1520,1522,1523,1526,1527,1528,1530,1533,
1534,1537,1538,1539,1541,1542,1543,1544,1545,1546,1547,1548,1549,1550,1551,
1552,1553,1554,1555,1556,1557,1558,1559,1560,1561,1562,1563,1564,1565,1566,
1567,1568,1569,1570,1571,1572,1573,1574,1575,1576,1577,1578,1579,1580,1581,
1582,1583,1584,1585,1586,1587,1588,1589,1590,1591,1600,1601,1603,1609,1610,
1611,1612,1613,1615,1618,1620,1624,1625,1627,1628,1630,1631,1633,1636,1637,
1638,1639,1640,1641,1642,1643,1645,1647,1649,1651,1653,1654,1657,1658,1661,
1663,1665,1666,1667,1668,1669,1670,1671,1672,1673,1674,1675,1676,1677,1678,
1679,1688,1690,1692,1693,1694,1695,1696,1697,1698,1699,1703,1704,1706,1707,
1712,1718,1720,1721,1722,1723,1725,1726,1727,1729,1731,1732,1733,1734,1735,
1736,1746,1748,1749,1751,1753,1760,1764],[1,2,5,6,7,8,25,26,27,31,33,37,38,41,
42,43,44,46,47,88,89,90,123,124,131,132,143,156,157,161,162,166,167,168,169,
170,171,172,173,174,179,180,181,187,188,189,190,192,194,224,259,260,335,338,
339,340,409,420,421,433,434,439,440,441,444,445,463,464,465,466,467,468,469,
470,471,489,490,491,494,496,501,502,572,573,625,681,725,745,832,835,836,849,
852,858,859,862,863,864,869,870,871,872,873,884,915,916,919,920,921,927,928,
932,933,935,941,944,948,949,950,954,1076,1107,1173,1205,1206,1219,1238,1239,
1243,1251,1256,1257,1258,1275,1279,1297,1298,1299,1303,1304,1307,1309,1310,
1446,1453,1455,1457,1460,1461,1462,1467,1471,1472,1473,1479,1500,1516,1521,
1528,1530,1531,1592,1594,1599,1602,1603,1605,1606,1607,1617,1624,1654,1655,
1656,1681,1682,1709,1710,1717,1718,1738,1742,1743,1749,1757,1765],[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,
811,812,813,814,815,816,817,818,819,820,821,822,823,824,825,826,827,828,829,
830,831,832,833,834,835,836,837,838,839,840,841,842,843,844,845,846,847,848,
849,850,851,852,853,854,855,856,857,858,859,860,861,862,863,864,865,866,867,
868,869,870,871,872,873,874,875,876,877,878,879,880,881,882,883,884,885,886,
887,888,889,890,891,892,893,894,895,896,897,898,899,900,901,902,903,904,905,
906,907,908,909,910,911,912,913,914,915,916,917,918,919,920,921,922,923,924,
925,926,927,928,929,930,931,932,933,934,935,936,937,938,939,940,941,942,943,
944,945,946,947,948,949,950,951,952,953,954,955,956,957,958,959,960,961,962,
963,964,965,966,967,968,969,970,971,972,973,974,975,976,977,978,979,980,981,
982,983,984,985,986,987,988,989,990,991,992,993,994,995,996,997,998,999,1000,
1001,1002,1003,1004,1005,1006,1007,1008,1009,1010,1011,1012,1013,1014,1015,
1016,1017,1018,1019,1020,1021,1022,1023,1024,1025,1026,1027,1028,1029,1030,
1031,1032,1033,1034,1035,1036,1037,1038,1039,1040,1041,1042,1043,1044,1045,
1046,1047,1048,1049,1050,1051,1052,1053,1054,1055,1056,1057,1058,1059,1060,
1061,1062,1063,1064,1065,1066,1067,1068,1069,1070,1071,1072,1073,1074,1075,
1076,1077,1078,1079,1080,1081,1082,1083,1084,1085,1086,1087,1088,1089,1090,
1091,1092,1093,1094,1095,1096,1097,1098,1099,1100,1101,1102,1103,1104,1105,
1106,1107,1108,1109,1110,1111,1112,1113,1114,1115,1116,1117,1118,1119,1120,
1121,1122,1123,1124,1125,1126,1127,1128,1129,1130,1131,1132,1133,1134,1135,
1136,1137,1138,1139,1140,1141,1142,1143,1144,1145,1146,1147,1148,1149,1150,
1151,1152,1153,1154,1155,1156,1157,1158,1159,1160,1161,1162,1163,1164,1165,
1166,1167,1168,1169,1170,1171,1172,1173,1174,1175,1176,1177,1178,1179,1180,
1181,1182,1183,1184,1185,1186,1187,1188,1189,1190,1191,1192,1193,1194,1195,
1196,1197,1198,1199,1200,1201,1202,1203,1204,1205,1206,1207,1208,1209,1210,
1211,1212,1213,1214,1215,1216,1217,1218,1219,1220,1221,1222,1223,1224,1225,
1226,1227,1228,1229,1230,1231,1232,1233,1234,1235,1236,1237,1238,1239,1240,
1241,1242,1243,1244,1245,1246,1247,1248,1249,1250,1251,1252,1253,1254,1255,
1256,1257,1258,1259,1260,1261,1262,1263,1264,1265,1266,1267,1268,1269,1270,
1271,1272,1273,1274,1275,1276,1277,1278,1279,1280,1281,1282,1283,1284,1285,
1286,1287,1288,1289,1290,1291,1292,1293,1294,1295,1296,1297,1298,1299,1300,
1301,1302,1303,1304,1305,1306,1307,1308,1309,1310,1311,1312,1313,1314,1315,
1316,1317,1318,1319,1320,1321,1322,1323,1324,1325,1326,1327,1328,1329,1330,
1331,1332,1333,1334,1335,1336,1337,1338,1339,1340,1341,1342,1343,1344,1345,
1346,1347,1348,1349,1350,1351,1352,1353,1354,1355,1356,1357,1358,1359,1360,
1361,1362,1363,1364,1365,1366,1367,1368,1369,1370,1371,1372,1373,1374,1375,
1376,1377,1378,1379,1380,1381,1382,1383,1384,1385,1386,1387,1388,1389,1390,
1391,1392,1393,1394,1395,1396,1397,1398,1399,1400,1401,1402,1403,1404,1405,
1406,1407,1408,1409,1410,1411,1412,1413,1414,1415,1416,1417,1418,1419,1420,
1421,1422,1423,1424,1425,1426,1427,1428,1429,1430,1431,1432,1433,1434,1435,
1436,1437,1438,1439,1440,1441,1442,1443,1444,1445,1446,1447,1448,1449,1450,
1451,1452,1453,1454,1455,1456,1457,1458,1459,1460,1461,1462,1463,1464,1465,
1466,1467,1468,1469,1470,1471,1472,1473,1474,1475,1476,1477,1478,1479,1480,
1481,1482,1483,1484,1485,1486,1487,1488,1489,1490,1491,1492,1493,1494,1495,
1496,1497,1498,1499,1500,1501,1502,1503,1504,1505,1506,1507,1508,1509,1510,
1511,1512,1513,1514,1515,1516,1517,1518,1519,1520,1521,1522,1523,1524,1525,
1526,1527,1528,1529,1530,1531,1532,1533,1534,1535,1536,1537,1538,1539,1540,
1541,1542,1543,1544,1545,1546,1547,1548,1549,1550,1551,1552,1553,1554,1555,
1556,1557,1558,1559,1560,1561,1562,1563,1564,1565,1566,1567,1568,1569,1570,
1571,1572,1573,1574,1575,1576,1577,1578,1579,1580,1581,1582,1583,1584,1585,
1586,1587,1588,1589,1590,1591,1592,1593,1594,1595,1596,1597,1598,1599,1600,
1601,1602,1603,1604,1605,1606,1607,1608,1609,1610,1611,1612,1613,1614,1615,
1616,1617,1618,1619,1620,1621,1622,1623,1624,1625,1626,1627,1628,1629,1630,
1631,1632,1633,1634,1635,1636,1637,1638,1639,1640,1641,1642,1643,1644,1645,
1646,1647,1648,1649,1650,1651,1652,1653,1654,1655,1656,1657,1658,1659,1660,
1661,1662,1663,1664,1665,1666,1667,1668,1669,1670,1671,1672,1673,1674,1675,
1676,1677,1678,1679,1680,1681,1682,1683,1684,1685,1686,1687,1688,1689,1690,
1691,1692,1693,1694,1695,1696,1697,1698,1699,1700,1701,1702,1703,1704,1705,
1706,1707,1708,1709,1710,1711,1712,1713,1714,1715,1716,1717,1718,1719,1720,
1721,1722,1723,1724,1725,1726,1727,1728,1729,1730,1731,1732,1733,1734,1735,
1736,1737,1738,1739,1740,1741,1742,1743,1744,1745,1746,1747,1748,1749,1750,
1751,1752,1753,1754,1755,1756,1757,1758,1759,1760,1761,1762,1763,1764,1765,
1766]],
0,[[1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,3,1],[1,1,2,1],[1,1,2,1],[1,1,2,
1],[1,1,1,1,1],[1,1,2,1],[1,1,2,1],[1,1,2,1],[1,3,1],[1,3,1],[1,3,1],[1,2,1,
1],[1,1,2,1],[1,1,2,1],[1,3,1],[1,1,2,1],[1,3,1],[1,3,1],[1,3,1],[1,1,2,1],[1,
2,1,1],[1,2,1,1],[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],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,1,1,1],[1,1,1,1],[1,1,
1,1],[1,1],[1,7,7,1],[1,7,7,1],[1,7,7,1],[1,3,4,1,2,4,1],[1,7,7,1],[1,4,3,1,3,
3,1],[1,1,6,3,4,1],[1,1,6,1,2,4,1],[1,1,6,1,3,3,1],[1,2,5,1,1,3,2,1],[1,1,6,3,
4,1],[1,1,2,4,1,2,4,1],[1,1,6,3,4,1],[1,1,4,2,1,2,1,2,1,1],[1,1,6,1,2,4,1],[1,
1,2,4,1,2,1,1,2,1],[1,1,2,4,1,2,4,1],[1,1,6,3,4,1],[1,1,3,3,3,1,3,1],[1,1,3,3,
3,1,3,1],[1,1,6,3,1,3,1],[1,1,2,4,1,2,1,2,1,1],[1,1,1,5,1,1,1,2,2,1],[1,1,1,5,
2,1,1,1,2,1],[1,3,2,2,1,1,1,4,1],[1,3,2,2,1,1,1,4,1],[1,1,4,2,1,1,1,4,1],[1,5,
2,1,1,1,4,1],[1,3,2,2,1,1,1,2,2,1],[1,4,1,2,1,1,1,2,2,1],[1,1,4,2,1,1,1,2,2,
1],[1,2,3,2,1,1,1,2,2,1],[1,2,3,2,1,1,1,1,1,2,1],[1,3,2,2,1,1,1,4,1],[1,3,4,1,
2,4,1],[1,3,1,3,1,3,3,1],[1,1,2,4,1,2,2,2,1],[1,1,2,4,1,4,2,1],[1,1,1,1,4,1,1,
1,2,2,1],[1,1,6,3,4,1],[1,1,6,3,4,1],[1,3,4,1,6,1],[1,1,6,3,4,1],[1,1,6,1,3,3,
1],[1,3,4,3,1,3,1],[1,3,4,3,1,3,1],[1,3,4,3,1,3,1],[1,1,2,4,1,2,1,1,2,1],[1,1,
2,4,1,2,1,1,2,1],[1,2,1,4,1,1,1,1,1,2,1],[1,1,3,1,2,1,1,1,2,2,1],[1,1,1,3,2,1,
1,1,2,2,1],[1,1,2,2,2,2,1,1,1,2,1],[1,3,2,1,1,1,1],[1,3,2,1,1,1,1],[1,1,2,2,1,
1,1,1],[1,1,2,2,1,1,1,1],[1,1,4,2,1,1],[1,1,2,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,
3,2,1,1,1,1],[1,3,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,2,2,1,1,
1,1],[1,3,2,1,1,1,1],[1,3,2,1,1,1,1],[1,1,4,1,1,1,1],[1,3,2,1,1,1,1],[1,5,1,1,
1,1],[1,3,2,1,1,1,1],[1,1,4,1,1,1,1],[1,2,3,1,1,1,1],[1,5,1,1,1,1],[1,3,2,1,1,
1,1],[1,5,1,1,1,1],[1,1,4,2,1,1],[1,3,2,1,1,1,1],[1,1,4,2,1,1],[1,1,4,1,1,1,
1],[1,1,2,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,2,3,1,1,1,1],[1,2,3,1,1,1,1],[1,5,1,
1,1,1],[1,5,1,1,1,1],[1,1,2,1,2,1],[1,1,2,1,2,1],[1,1,2,1,2,1],[1,1,2,1,2,1],[
1,1,2,1,2,1],[1,1,2,1,2,1],[1,1,2,1,2,1],[1,1,1,1,1,1,1,1],[1,1,2,1,2,1],[1,1,
2,1,2,1],[1,3,1,2,1],[1,1,2,1,2,1],[1,1,2,1,2,1],[1,1,2,1,2,1],[1,3,1,2,1],[1,
3,1,2,1],[1,3,1,2,1],[1,1,2,1,2,1],[1,1,2,1,2,1],[1,3,1,2,1],[1,1,2,1,2,1],[1,
2,1,1,1,1,1],[1,1,2,1,2,1],[1,1,2,1,2,1],[1,1,2,1,2,1],[1,1,2,1,2,1],[1,1,2,1,
2,1],[1,1,1,1,1,1,1,1],[1,1,3,1],[1,1,3,1],[1,1,3,1],[1,1,3,1],[1,1,3,1],[1,1,
1,1],[1,2,2,1],[1,5,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,
4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,
1],[1,3,1,1,3,1],[1,3,1,1,3,1],[1,1,2,1,1,1,2,1],[1,1,6,1,3,2,1,1],[1,1,3,3,1,
3,1,1,1,1],[1,4,3,1,3,1,1,1,1],[1,1,3,3,1,3,1,1,1,1],[1,1,6,1,3,2,1,1],[1,7,1,
3,2,1,1],[1,1,1,3,1,1],[1,1,1,3,1,1],[1,1,1,1,1,1],[1,1,1,1],[1,1,1,1],[1,15,
35,15,1],[1,1,14,7,28,8,7,1],[1,1,2,12,1,6,12,16,8,3,4,1],[1,1,8,6,1,6,7,6,3,
12,1,3,4,3,4,1],[1,1,2,12,1,6,4,12,12,8,3,4,1],[1,1,4,10,1,4,2,1,2,5,12,8,2,2,
4,1,2,4,1],[1,1,6,8,1,2,4,2,8,2,12,4,4,4,2,1,4,1],[1,1,4,10,1,2,4,1,1,3,3,12,
8,1,1,1,2,3,1,1,2,2,1,1],[1,1,2,12,1,4,2,1,1,2,8,16,2,2,2,2,1,1,1,2,2,1],[1,3,
6,6,1,3,3,12,4,12,1,3,8,3,1],[1,3,12,1,6,12,16,4,8,3,1],[1,3,6,6,1,3,3,12,2,2,
6,6,6,6,3,1],[1,3,2,10,1,1,5,8,4,8,8,2,2,8,1,2,1],[1,3,2,10,1,2,10,6,1,1,2,4,
8,1,1,2,2,2,4,1,2,1],[1,3,4,8,1,1,1,6,10,1,2,1,8,4,1,1,2,4,2,2,1,2,1],[1,9,6,
9,3,3,2,18,9,6,1],[1,3,6,6,3,6,1,2,3,2,6,12,3,6,6,1],[1,3,6,6,3,6,3,3,1,1,9,3,
6,3,6,1,2,3,1],[1,7,2,6,5,2,2,1,2,2,1,2,10,8,1,2,2,4,2,4,1],[1,5,4,6,2,3,4,1,
1,2,2,2,2,4,12,2,2,1,4,2,4,1],[1,3,6,6,1,2,6,1,1,1,3,2,8,2,8,1,1,3,2,2,2,2,2,
1],[1,5,4,6,2,3,4,1,2,1,2,1,1,3,5,10,1,2,2,2,2,1,1,2,2,1],[1,1,8,2,4,3,2,2,2,
1,4,2,1,2,8,8,1,1,2,2,4,1,4,1],[1,1,4,6,4,1,2,2,2,2,1,2,1,4,2,8,8,1,1,2,2,4,1,
4,1],[1,1,4,6,4,1,2,2,4,1,1,2,4,2,4,4,8,1,1,2,2,4,1,2,2,1],[1,1,6,4,4,1,4,1,1,
2,1,1,2,1,3,2,2,6,8,1,1,1,1,2,1,1,2,1,2,2,1],[1,1,4,6,4,1,4,1,1,2,1,1,1,2,3,2,
6,2,8,1,1,1,1,1,2,1,2,1,2,2,1],[1,7,2,6,7,1,3,12,12,1,3,3,8,1],[1,1,2,12,1,6,
6,6,16,3,4,4,4,1],[1,3,2,2,8,1,1,1,4,4,4,8,12,1,2,2,8,2,1],[1,3,12,1,4,12,18,
3,12,1],[1,3,4,4,4,1,2,2,8,6,4,4,8,2,1,4,4,4,1],[1,1,2,4,8,1,2,2,2,8,1,3,4,5,
1,6,1,2,1,2,2,2,2,2,1,1],[1,1,4,2,8,1,2,4,4,4,1,3,4,1,5,6,1,2,1,1,1,1,1,4,2,1,
1],[1,7,7,4,1,6,1],[1,3,2,2,1,1,1,4,4,1,2,2,2,1],[1,3,4,1,2,4,4,1,2,4,1],[1,1,
2,4,1,2,2,2,4,1,2,4,1],[1,1,6,3,4,4,1,6,1],[1,1,2,4,1,2,4,4,1,2,4,1],[1,1,6,3,
4,4,1,3,3,1],[1,1,2,4,1,2,4,4,1,2,4,1],[1,1,4,2,1,2,1,2,1,4,1,2,2,2,1],[1,1,4,
2,1,2,1,2,1,4,1,2,2,2,1],[1,1,6,3,4,4,1,2,4,1],[1,1,4,2,1,2,1,2,1,2,2,1,1,1,4,
1],[1,1,2,4,1,2,4,4,1,2,4,1],[1,1,4,2,1,2,1,2,1,2,2,1,2,1,1,2,1],[1,1,2,4,1,2,
1,1,2,2,2,1,2,1,1,2,1],[1,3,4,1,2,4,4,1,4,2,1],[1,3,2,2,1,1,1,4,4,1,2,2,2,1],[
1,1,2,4,1,2,2,2,4,1,2,4,1],[1,1,2,4,1,2,2,2,4,1,2,4,1],[1,1,4,2,1,2,1,2,1,2,2,
1,1,1,4,1],[1,1,2,4,1,2,1,1,2,2,2,1,1,1,4,1],[1,3,2,2,1,1,1,4,2,2,1,1,1,4,1],[
1,3,4,1,2,4,4,1,2,4,1],[1,3,2,2,1,1,1,4,2,2,1,1,1,4,1],[1,1,2,4,1,2,2,2,4,1,2,
2,2,1],[1,1,2,1,6,3,4,1],[1,1,2,1,6,1,2,4,1],[1,1,2,1,6,3,4,1],[1,1,2,1,6,3,4,
1],[1,1,2,1,6,3,4,1],[1,3,1,6,3,4,1],[1,3,1,6,3,4,1],[1,3,1,6,3,1],[1,1,2,1,2,
4,2,1,1],[1,1,2,1,2,4,2,1,1],[1,1,2,1,2,2,2,1,1,1,1],[1,1,2,1,2,2,2,1,1,1,1],[
1,1,2,1,2,2,2,1,1,1,1],[1,1,2,1,2,2,2,1,1,1,1],[1,3,1,4,2,1,2,1],[1,3,1,4,2,1,
2,1],[1,3,1,2,4,2,1,1],[1,1,2,1,2,2,2,1,1,1,1],[1,1,2,1,2,2,2,1,1,1,1],[1,1,2,
1,2,4,1,2,1],[1,1,2,1,2,4,1,2,1],[1,1,2,1,4,2,1,2,1],[1,1,2,1,2,4,2,1,1],[1,3,
2,2,1,1,1,4,4,1,2,1],[1,3,2,2,1,1,1,4,4,1,2,1],[1,3,4,1,2,4,4,1,2,1],[1,3,2,2,
1,1,1,4,4,1,2,1],[1,3,2,2,1,1,1,4,2,2,1,1,1,1],[1,3,4,1,2,4,4,1,2,1],[1,3,2,2,
1,1,1,4,4,1,2,1],[1,1,2,4,1,2,2,2,2,2,1,1,1,1],[1,1,2,4,1,2,2,2,2,2,1,1,1,1],[
1,1,2,4,1,4,2,2,2,1,1,1,1],[1,1,2,4,1,2,2,2,2,2,1,1,1,1],[1,1,2,4,1,2,4,2,2,1,
1,1,1],[1,1,4,2,1,2,1,2,1,2,2,1,1,1,1],[1,1,4,2,1,2,1,2,1,2,2,1,1,1,1],[1,1,2,
4,1,2,4,2,2,1,1,1,1],[1,1,2,4,1,2,4,2,2,1,1,1,1],[1,1,6,3,4,2,2,1,1,1,1],[1,1,
6,3,4,2,2,1,1,1,1],[1,1,2,4,1,2,1,2,1,2,2,1,1,1,1],[1,1,6,3,1,3,2,2,1,1,1,1],[
1,5,2,1,1,1,4,4,1,2,1],[1,3,2,2,1,1,1,4,4,1,2,1],[1,3,2,2,1,1,1,4,4,1,2,1],[1,
1,4,2,1,1,1,4,4,1,2,1],[1,3,4,3,1,3,2,2,1,1,1,1],[1,1,2,4,1,2,1,1,2,2,2,1,1,1,
1],[1,3,4,3,1,3,2,2,1,1,1,1],[1,1,2,4,1,2,1,1,2,2,2,1,1,1,1],[1,3,4,1,6,4,1,2,
1],[1,3,4,1,2,4,2,2,1,1,1,1],[1,3,2,2,1,1,1,4,2,2,1,1,1,1],[1,1,2,4,1,4,2,4,1,
2,1],[1,1,2,2,2,2,1,1,1,2,2,2,1,1,1,1],[1,1,6,3,4,4,1,2,1],[1,1,2,4,1,2,4,4,1,
2,1],[1,1,2,4,1,2,4,4,1,2,1],[1,1,2,4,1,2,4,4,1,2,1],[1,1,2,4,1,2,4,2,2,1,1,1,
1],[1,1,2,4,1,2,4,4,1,2,1],[1,1,2,4,1,2,4,4,1,2,1],[1,1,6,1,2,4,4,1,2,1],[1,1,
4,2,1,2,1,2,1,2,2,1,1,1,1],[1,1,4,2,1,2,1,2,1,2,2,1,1,1,1],[1,1,2,4,1,2,4,2,2,
1,1,1,1],[1,1,2,4,1,2,4,2,2,1,1,1,1],[1,1,6,1,2,4,2,2,1,1,1,1],[1,1,2,4,1,2,1,
1,2,2,2,1,1,1,1],[1,3,2,2,1,1,1,4,4,1,2,1],[1,3,2,2,1,1,1,4,4,1,2,1],[1,5,2,1,
1,1,4,4,1,2,1],[1,5,2,1,1,1,4,4,1,2,1],[1,1,4,2,1,1,1,4,4,1,2,1],[1,3,2,2,1,1,
1,4,2,2,1,1,1,1],[1,3,2,2,1,1,1,4,4,1,2,1],[1,5,2,1,1,1,4,4,1,2,1],[1,5,2,1,1,
1,4,2,2,1,1,1,1],[1,3,2,2,1,1,1,4,4,1,2,1],[1,1,4,2,1,1,1,2,2,2,2,1,1,1,1],[1,
3,2,2,1,1,1,2,2,2,2,1,1,1,1],[1,7,7,4,1,2,1],[1,3,2,2,1,1,1,4,4,1,2,1],[1,3,4,
1,6,2,2,1,1,1,1],[1,3,4,1,6,4,1,2,1],[1,3,4,1,6,4,1,2,1],[1,1,6,1,3,3,2,2,1,1,
1,1],[1,1,6,4,3,2,4,4,2,1,1,4,1,1],[1,1,10,5,8,2,2,4,1,1],[1,1,2,8,1,4,4,4,2,
1,1,2,2,1,1],[1,1,4,6,1,2,2,1,2,1,4,2,1,1,2,2,1,1],[1,1,6,4,3,2,4,4,2,1,1,4,1,
1],[1,1,8,2,3,2,1,4,2,1,2,1,1,2,2,1,1],[1,1,2,8,1,2,2,4,4,2,1,1,4,1,1],[1,1,
10,3,2,4,4,2,1,1,4,1,1],[1,1,2,8,3,2,1,1,2,4,2,1,1,2,2,1,1],[1,1,3,7,2,3,1,1,
3,1,2,1,1,1,1,1,1,1,1,1,1],[1,1,2,8,3,2,1,4,2,1,2,1,1,2,2,1,1],[1,1,5,5,5,1,1,
3,3,1,1,1,1,1,1,1,1,1,1],[1,1,10,5,1,4,3,2,1,1,2,2,1,1],[1,5,4,2,1,1,1,2,4,4,
2,1,1,2,2,1,1],[1,9,2,1,7,1,4,2,1,1,2,2,1,1],[1,7,2,2,1,7,1,4,2,1,1,2,2,1,1],[
1,3,6,2,1,1,2,1,4,4,2,1,1,2,2,1,1],[1,3,6,2,1,1,3,4,4,2,1,1,2,2,1,1],[1,1,8,2,
1,1,3,4,4,2,1,1,2,2,1,1],[1,1,8,2,1,1,1,2,4,4,2,1,1,2,2,1,1],[1,3,6,2,1,1,1,2,
4,4,2,1,1,2,2,1,1],[1,3,6,2,1,1,2,1,4,4,2,1,1,1,1,1,1,1,1],[1,3,6,2,1,1,2,1,4,
4,2,1,1,2,2,1,1],[1,5,4,2,1,1,1,2,4,4,2,1,1,2,2,1,1],[1,5,4,2,1,1,1,2,4,4,2,1,
1,1,1,1,1,1,1],[1,7,2,2,1,7,1,4,2,1,1,2,2,1,1],[1,9,2,1,1,7,4,2,1,1,2,2,1,1],[
1,6,3,2,1,1,1,3,3,2,2,1,1,1,1,1,1,1,1,1,1],[1,2,7,2,1,1,1,1,3,2,2,2,1,1,1,1,1,
1,1,1,1,1],[1,4,5,2,1,1,1,1,3,2,2,2,1,1,1,1,1,1,1,1,1,1],[1,4,5,2,1,1,3,1,3,2,
2,1,1,1,1,1,1,1,1,1,1],[1,1,8,2,1,1,3,4,2,2,2,1,1,2,2,1,1],[1,3,6,2,1,1,3,4,2,
2,2,1,1,2,2,1,1],[1,7,4,7,2,4,2,1,1,4,1,1],[1,7,2,2,7,1,1,4,2,1,1,2,2,1,1],[1,
1,2,8,1,4,4,4,2,2,4,1,1],[1,3,4,4,1,2,4,6,2,1,1,4,1,1],[1,3,4,4,1,2,4,4,2,2,1,
1,2,2,1,1],[1,3,2,2,4,1,1,1,4,2,2,2,2,1,1,2,2,1,1],[1,1,2,8,1,4,4,4,2,1,1,2,2,
1,1],[1,1,2,8,1,2,2,4,4,2,1,1,4,1,1],[1,1,6,4,3,2,4,4,2,1,1,4,1,1],[1,1,2,8,1,
2,2,4,4,2,1,1,2,2,1,1],[1,1,10,1,4,4,4,2,1,1,2,2,1,1],[1,1,2,8,1,4,4,4,2,1,1,
2,2,1,1],[1,3,2,6,1,1,3,4,4,2,1,1,2,2,1,1],[1,3,2,6,1,1,3,4,4,2,1,1,2,2,1,1],[
1,3,6,2,1,3,1,4,4,2,1,1,2,2,1,1],[1,3,2,6,1,1,3,4,4,2,1,1,2,2,1,1],[1,3,8,1,4,
4,4,2,1,1,2,2,1,1],[1,3,2,6,1,1,3,4,4,2,1,1,1,1,1,1,1,1],[1,1,2,4,4,1,2,2,2,4,
2,2,1,1,4,1,1],[1,1,2,4,4,1,2,2,2,4,2,2,1,1,4,1,1],[1,1,4,2,4,1,2,2,2,1,2,1,2,
2,1,1,2,2,1,1],[1,1,4,2,4,1,2,2,2,1,2,1,2,2,1,1,2,2,1,1],[1,1,2,4,4,1,2,2,2,4,
2,2,1,1,4,1,1],[1,1,6,4,3,2,2,4,2,2,1,1,4,1,1],[1,1,6,4,3,4,4,2,2,1,1,4,1,1],[
1,1,1,5,4,2,1,1,1,2,1,1,2,2,1,1,1,1,1,1,1,1,1,1],[1,1,3,3,4,3,1,1,2,1,3,2,1,1,
1,1,1,1,1,1,1,1],[1,1,2,4,4,1,2,2,2,4,2,2,1,1,4,1,1],[1,1,6,4,1,2,4,4,2,2,1,1,
4,1,1],[1,1,4,6,3,1,1,4,4,2,1,1,2,2,1,1],[1,3,2,6,3,1,1,4,4,2,1,1,2,2,1,1],[1,
3,2,6,3,1,1,4,4,2,1,1,2,2,1,1],[1,5,6,3,1,1,4,4,2,1,1,2,2,1,1],[1,1,3,5,2,1,1,
1,1,2,2,1,2,2,1,1,1,1,1,1,1,1,1,1],[1,1,1,7,2,2,1,1,2,2,1,2,2,1,1,1,1,1,1,1,1,
1,1],[1,7,4,7,6,2,1,1,4,1,1],[1,3,8,1,4,8,2,2,4,1,1],[1,3,2,6,1,1,3,4,4,2,1,1,
2,2,1,1],[1,3,4,4,1,2,4,6,2,1,1,4,1,1],[1,3,3,3,2,1,1,3,3,1,2,2,1,1,1,1,1,1,1,
1,1,1],[1,3,1,5,2,1,1,3,3,1,2,2,1,1,1,1,1,1,1,1,1,1],[1,3,8,5,1,3,4,2,1,1,2,2,
1,1],[1,3,8,5,1,3,4,2,1,1,2,2,1,1],[1,1,2,8,3,2,1,1,2,4,2,1,1,2,2,1,1],[1,1,2,
8,3,2,1,1,2,4,2,1,1,2,2,1,1],[1,1,2,2,6,2,3,1,1,2,4,2,1,1,2,2,1,1],[1,3,8,1,8,
4,2,1,1,2,2,1,1],[1,1,10,1,3,5,4,2,1,1,2,2,1,1],[1,1,6,3,4,3,3,1,1],[1,1,2,4,
1,2,4,2,1,1,1,1,1,1],[1,3,2,2,1,1,1,4,1,1,1,1,1,1,1,1],[1,1,4,2,1,1,1,4,1,1,1,
1,1,1,1,1],[1,5,2,1,1,1,4,1,1,1,1,1,1,1,1],[1,3,2,2,1,1,1,4,1,1,1,1,1,1,1,1],[
1,3,2,2,1,1,1,4,1,1,1,1,1,1,1,1],[1,3,4,1,2,4,2,1,1,1,1,1,1],[1,1,6,1,2,4,1,2,
1,2,1,1],[1,1,2,4,1,2,4,1,2,1,2,1,1],[1,1,2,4,1,2,4,2,1,1,2,1,1],[1,3,4,1,2,4,
1,2,1,2,1,1],[1,3,1,2,1,2,1],[1,1,2,1,2,1,2,1],[1,1,2,1,2,1,2,1],[1,1,4,4,2,2,
1,1,1,1,1],[1,1,4,2,3,1,1,1,1],[1,1,4,2,3,1,1,1,1],[1,1,5,1,1,1,1],[1,9,2,2,6,
6,1,1],[1,3,2,2,1,3,1,1],[1,3,2,2,1,3,1,1],[1,5,5,1,1,1],[1,7,1,1],[1,3,6,4,1,
3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,6,3,4,3,1,3,4,3,1,1],[1,6,3,4,3,1,3,4,
3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,9,4,3,1,3,4,3,1,1],[1,9,4,3,1,3,4,3,1,1],[1,
6,3,4,3,1,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,9,4,1,3,3,4,3,1,1],[1,9,4,1,3,
3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,9,4,1,3,3,4,3,1,1],[1,3,6,4,3,1,3,4,3,1,
1],[1,3,6,4,3,1,3,4,3,1,1],[1,3,6,4,3,1,3,4,3,1,1],[1,3,6,4,3,1,3,4,3,1,1],[1,
9,4,3,1,3,4,3,1,1],[1,9,4,3,1,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,
3,4,3,1,1],[1,9,4,1,3,3,4,3,1,1],[1,9,4,1,3,3,4,3,1,1],[1,9,4,1,3,3,4,3,1,1],[
1,9,4,1,3,3,4,3,1,1],[1,7,4,7,4,1,1,1],[1,1,6,4,3,4,4,1,1,1],[1,1,6,4,3,4,4,1,
1,1],[1,1,3,3,4,3,1,3,4,1,1,1],[1,1,6,4,3,1,3,4,1,1,1],[1,1,6,4,3,4,4,1,1,1],[
1,1,3,3,4,3,1,3,4,1,1,1],[1,3,4,4,3,1,3,4,1,1,1],[1,3,4,4,3,1,3,4,1,1,1],[1,3,
4,4,3,1,3,4,1,1,1],[1,3,1,3,4,1,3,3,4,1,1,1],[1,1,6,4,3,4,4,1,1,1],[1,1,6,4,3,
4,4,1,1,1],[1,1,6,4,3,4,4,1,1,1],[1,7,4,7,4,1,1,1],[1,7,4,7,4,1,1,1],[1,4,3,4,
1,3,3,4,1,1,1],[1,1,6,4,1,3,3,4,1,1,1],[1,1,6,4,3,4,4,1,1,1],[1,1,6,4,1,3,3,4,
1,1,1],[1,3,4,4,1,6,4,1,1,1],[1,3,3,9,1,1,9,9,1,3,3,3,1,3,3,1],[1,1,5,3,6,1,1,
3,3,6,6,1,1,2,1,2,3,1,1,2,2,1,1],[1,1,4,3,4,1,1],[1,1,4,3,4,1,1],[1,1,4,3,4,1,
1],[1,1,4,3,4,1,1],[1,1,4,3,4,1,1],[1,1,6,6,1,3,3,1,2,2,1,3,1,1,1,1],[1,1,2,6,
1,1,3,3,2,1,2,3,1,1,1,1],[1,3,6,1,1,3,3,2,3,3,1,1,1,1],[1,9,1,1,3,3,2,3,3,1,1,
1,1],[1,3,2,1,1,1,1,3,2,1,1,1,1,1],[1,1,3,3,1,3,1,3,1,1,1,3,1,1,1,1],[1,5,1,1,
5,1,1,1],[1,3,14,6,1,7,3,12,28,12,4,8,7,3,8,3,4,12,6,1,1,1,6,6,1],[1,3,6,14,1,
3,7,12,4,20,16,4,8,1,5,4,8,3,4,8,4,2,4,1,1,1,2,4,2,4,1],[1,3,2,18,1,1,9,12,12,
28,4,8,3,7,8,3,1,3,3,9,3,3,1,1,1,3,3,3,3,1],[1,1,8,10,4,1,2,6,2,2,7,6,3,4,12,
2,8,8,4,1,3,4,1,3,4,2,2,4,1,4,4,4,4,4,2,2,2,1,1,1,2,2,2,4,2,1],[1,1,4,14,4,1,
2,4,2,2,2,1,2,5,4,12,8,2,8,8,4,2,2,4,1,1,2,4,2,2,4,1,4,8,8,2,2,2,1,1,1,2,4,4,
2,1],[1,1,16,2,4,7,2,2,2,1,28,2,1,2,8,8,4,8,7,1,2,2,4,1,4,8,4,4,2,4,1,1,1,2,4,
4,2,1],[1,1,4,14,4,1,6,2,2,2,1,2,1,12,16,2,8,8,4,8,3,4,1,2,2,4,1,4,8,4,4,2,4,
1,1,1,2,4,4,2,1],[1,1,12,6,4,3,6,2,2,7,4,6,3,12,2,8,8,4,1,3,4,1,3,4,2,2,4,1,4,
4,4,4,4,2,2,2,1,1,1,2,2,2,4,2,1],[1,1,8,10,4,3,4,2,2,2,1,4,2,5,12,8,2,8,8,4,2,
2,4,1,1,2,4,2,2,4,1,4,8,8,2,2,2,1,1,1,2,4,4,2,1],[1,1,6,12,4,1,2,2,4,2,2,2,8,
2,4,12,4,2,8,8,2,2,4,4,1,2,1,4,2,2,4,1,4,2,2,4,2,2,4,1,1,4,1,1,1,1,1,4,4,1,1,
1],[1,1,10,8,4,3,2,4,2,2,2,4,8,2,12,4,2,8,8,2,2,4,4,1,2,1,4,2,2,4,1,4,2,2,4,2,
2,4,1,1,4,1,1,1,1,1,4,4,1,1,1],[1,1,4,14,4,1,6,2,4,1,1,2,12,16,2,4,4,8,4,8,3,
4,1,2,2,4,1,2,2,8,4,4,2,4,1,1,1,2,4,4,2,1],[1,1,10,8,4,1,8,1,1,2,7,1,6,3,3,12,
2,2,6,8,2,2,1,3,4,3,1,4,1,1,2,1,1,2,1,2,2,2,2,2,2,2,2,2,2,2,1,1,2,1,1,1,2,1,1,
1,1,2,2,2,1],[1,1,6,12,4,1,4,4,1,1,2,1,1,2,5,3,12,8,2,2,6,8,2,2,2,2,4,1,2,1,4,
1,1,2,1,1,2,1,2,2,2,2,2,2,2,2,2,2,2,1,1,2,1,1,1,2,1,1,1,1,2,2,2,1],[1,1,6,12,
4,1,2,6,1,1,2,1,1,1,3,3,3,12,8,2,6,2,8,2,2,1,1,1,2,3,1,1,1,2,2,1,1,1,1,2,1,2,
1,2,2,1,1,1,1,2,2,1,1,1,1,2,2,2,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,3,8,
12,1,3,3,6,18,1,4,2,1,12,8,4,2,2,1,3,1,1,8,2,4,2,2,3,2,2,2,2,2,4,4,1,1,4,1,1,
1,1,1,1,1,4,4,1],[1,3,2,18,1,6,18,6,1,1,2,16,4,8,4,4,1,1,8,2,2,2,4,3,2,4,4,8,
2,4,1,1,1,2,2,4,4,1],[1,15,2,6,35,1,3,12,12,4,15,3,3,8,4,12,6,1,1,1,6,6,1],[1,
7,2,6,8,7,1,3,12,12,4,4,8,12,4,1,3,3,8,2,2,8,2,8,8,2,2,2,1,1,1,2,4,4,2,1],[1,
3,2,2,16,1,1,1,4,8,8,8,16,16,4,1,4,2,8,4,4,2,4,4,8,4,2,4,1,1,1,2,2,4,4,1],[1,
3,6,14,1,3,7,8,12,4,12,8,8,4,1,3,2,2,8,8,3,2,8,8,2,2,2,1,1,1,2,2,4,4,1],[1,3,
2,18,1,1,9,16,4,16,8,8,4,4,2,2,8,8,1,4,8,4,4,2,4,1,1,1,4,4,2,2,1],[1,7,2,14,7,
1,7,20,12,16,4,1,4,8,3,5,8,8,4,4,4,2,1,1,1,2,2,4,4,1],[1,7,6,10,7,3,5,12,20,4,
12,4,1,1,3,8,5,3,8,4,4,4,4,2,2,2,1,1,1,2,2,2,2,4,1],[1,3,2,10,8,1,1,5,8,4,4,4,
8,8,8,12,4,2,2,8,1,2,2,2,8,2,16,2,2,2,1,1,1,4,4,4,1],[1,1,4,6,12,1,2,2,6,6,1,
2,1,4,6,8,8,16,4,1,1,2,2,4,3,4,4,4,4,4,4,8,2,4,1,1,1,2,2,4,4,1],[1,1,8,2,12,3,
2,6,6,1,4,2,1,6,8,8,16,4,1,1,2,2,4,3,4,4,4,4,4,4,8,2,4,1,1,1,2,2,4,4,1],[1,3,
4,8,8,1,1,1,6,10,4,4,8,1,2,1,8,4,12,2,2,1,1,2,4,2,2,1,2,2,2,8,2,2,2,2,2,4,4,1,
1,4,1,1,1,1,1,1,1,4,4,1],[1,3,4,12,4,1,1,3,6,10,2,2,1,2,1,4,8,4,2,8,8,2,2,1,1,
1,2,4,2,2,2,2,4,1,2,1,4,2,2,2,2,4,4,1,1,4,1,1,1,1,1,1,1,4,4,1],[1,3,8,8,4,1,3,
1,6,10,2,2,1,4,2,1,8,4,2,8,8,2,2,1,1,1,2,4,2,2,2,2,4,1,2,1,4,2,2,2,2,4,4,1,1,
4,1,1,1,1,1,1,1,4,4,1],[1,3,4,12,4,1,1,3,10,6,4,1,1,2,4,4,8,2,4,4,8,2,2,1,1,1,
2,2,2,4,2,2,4,1,2,1,2,2,1,1,2,1,1,2,2,2,4,1,1,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,3,
4,12,4,1,2,6,8,8,8,8,6,4,4,8,2,2,2,2,8,2,2,1,4,4,4,4,2,2,2,2,4,1,1,4,1,1,1,1,
1,4,4,1,1,1],[1,7,4,8,4,7,2,4,12,16,6,4,4,8,2,2,1,4,3,8,1,4,4,4,2,2,4,2,2,4,1,
1,4,1,1,1,1,1,1,1,4,4,1],[1,1,4,2,16,1,2,8,8,4,1,3,8,1,5,6,16,4,3,2,4,4,4,1,1,
1,1,1,4,2,1,4,4,4,4,2,2,2,1,1,1,2,2,2,2,2,2,1],[1,7,6,18,7,3,9,36,36,2,2,6,6,
24,24,1,6,6,6,6,8,8,24,24,24,9,9,24,1,3,12,12,3,1],[1,3,10,10,8,1,5,5,20,4,4,
8,2,2,4,6,6,12,12,16,16,32,1,3,6,6,8,4,4,4,4,8,8,8,8,16,5,2,2,8,2,16,16,16,1,
1,2,2,4,8,8,1,4,1],[1,1,12,6,12,3,6,12,12,12,3,6,6,3,6,2,6,6,6,30,36,1,3,2,6,
6,12,12,18,6,12,3,6,2,6,6,6,6,24,12,6,1,6,3,6,3,6,6,1],[1,1,8,10,12,1,2,6,8,8,
20,1,2,2,4,5,10,2,6,6,22,14,36,1,1,2,2,4,4,6,2,8,6,12,10,20,1,2,6,2,2,2,8,10,
10,16,4,8,6,1,2,1,2,6,4,1,2,2,4,4,2,1],[1,3,10,18,1,3,3,12,24,8,2,18,12,48,24,
1,9,16,6,8,24,12,6,6,12,24,12,12,3,4,3,3,6,12,1,6,1],[1,3,6,22,1,1,5,20,16,2,
4,8,10,40,48,4,8,4,12,16,20,2,6,4,4,4,8,16,20,20,1,2,4,1,2,1,8,12,1,4,2,1],[1,
3,6,6,16,1,3,3,12,12,12,24,4,12,24,12,12,24,3,6,6,24,4,12,4,4,8,12,12,24,12,
12,12,3,1,3,12,12,1],[1,7,6,6,7,3,3,12,2,2,6,6,6,1,6,6,3,6,6,3,1,3,3,1],[1,7,
2,10,7,1,5,8,4,8,8,6,1,2,2,8,1,2,2,10,3,1,2,1,2,1,1],[1,3,2,14,1,1,7,12,4,8,8,
2,4,2,2,8,1,3,2,2,8,2,1,1,2,1,1,2,1],[1,3,6,10,1,3,5,4,12,2,2,6,6,2,4,6,6,3,1,
2,2,4,4,2,1,1,2,1,1,2,1],[1,3,6,2,8,1,3,1,4,4,4,8,4,12,2,4,1,1,2,2,8,2,2,2,8,
1,2,1,1,2,1,2,1],[1,3,2,6,8,1,1,3,4,4,4,8,4,12,2,4,1,1,2,2,8,2,2,2,8,1,2,1,1,
2,1,2,1],[1,3,2,6,8,1,1,3,4,4,4,8,4,12,2,4,1,1,2,2,8,2,2,2,8,1,2,1,1,2,1,2,
1],[1,3,2,6,8,1,1,3,4,4,4,4,8,12,6,1,1,2,2,8,2,2,2,8,3,1,1,2,1,2,1],[1,3,12,4,
1,6,12,16,6,4,2,4,8,3,1,4,8,1,2,1,1,2,1,2,1],[1,3,4,8,4,1,1,1,6,10,2,2,1,2,1,
8,4,2,2,4,1,1,2,4,2,2,1,2,1,2,2,2,4,2,2,1,1,1,1,1,1,1,1,1],[1,3,4,8,4,1,1,1,6,
10,2,2,1,2,1,8,4,2,2,4,1,1,2,4,2,2,1,2,1,2,2,2,4,2,2,1,1,1,1,1,1,1,1,1],[1,3,
12,4,1,6,12,4,16,2,2,4,4,8,3,1,2,8,2,2,1,1,1,2,1,2,1],[1,3,6,6,4,1,3,3,12,2,2,
4,12,2,2,2,2,1,3,8,3,1,2,4,4,2,1,1,1,1,1,1,1,1,1,1,1],[1,3,2,10,4,1,1,5,8,4,2,
2,8,8,2,2,2,2,2,2,8,1,2,1,2,4,4,2,1,1,1,1,1,1,1,1,1,1,1],[1,3,6,6,4,1,3,3,12,
2,2,2,2,6,6,2,2,2,2,6,6,3,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1],[1,3,4,8,4,1,2,
4,4,8,6,4,4,8,4,2,2,1,1,4,4,4,2,2,2,2,4,1,2,1,1,1,1,1,1,1,1],[1,1,8,2,8,3,2,4,
4,1,4,2,1,4,8,8,2,2,2,1,1,2,2,4,2,4,2,2,4,4,1,1,1,1,1,1,1,1,1,1,1],[1,1,4,6,8,
1,2,2,4,4,1,2,1,4,4,8,8,2,2,2,1,1,2,2,4,2,4,2,2,4,4,1,1,1,1,1,1,1,1,1,1,1],[1,
1,2,4,12,1,2,6,6,4,6,16,2,2,2,1,3,4,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1],[1,7,2,
10,7,2,2,1,2,2,1,2,10,8,4,2,4,1,2,2,4,1,2,4,2,2,4,4,1,2,1,1,2,1,2,1],[1,9,10,
11,3,3,2,18,4,2,4,9,1,6,2,2,4,4,1,2,1,1,2,1,2,1],[1,3,6,10,5,6,1,2,3,2,6,12,4,
2,4,3,6,1,6,2,2,4,4,1,2,1,1,2,1,2,1],[1,5,4,10,2,5,4,1,1,2,2,2,2,4,12,4,2,4,2,
2,1,4,1,2,4,2,2,4,4,1,2,1,1,2,1,2,1],[1,5,4,10,2,5,4,1,2,1,2,1,1,3,5,10,4,2,4,
1,2,2,2,2,1,1,1,2,2,2,2,2,2,2,2,1,2,1,1,1,1,1,1,1,1],[1,3,6,10,5,6,3,3,1,1,9,
3,6,4,2,4,3,6,1,1,2,3,2,2,2,2,2,2,1,2,1,1,1,1,1,1,1,1],[1,7,12,7,4,12,18,6,1,
3,12,12,3,1,3,3,1],[1,15,4,35,6,6,15,1,12,3,1,3,3,1],[1,7,6,6,3,6,7,2,3,2,6,
12,6,1,3,6,6,6,6,3,1,3,3,1],[1,13,6,9,9,3,2,18,6,1,9,6,6,6,3,1,3,3,1],[1,13,6,
9,3,9,2,18,6,1,9,6,6,6,3,1,3,3,1],[1,5,8,6,2,3,4,1,1,4,2,4,2,2,4,12,6,1,2,2,1,
4,2,4,2,4,2,4,3,1,2,1,1,2,1],[1,9,4,6,2,3,4,7,1,2,2,2,2,4,12,2,4,1,2,2,1,4,2,
4,4,2,2,4,1,2,1,1,2,1,2,1],[1,3,10,6,3,6,1,2,2,3,4,2,6,12,4,2,1,3,6,6,2,4,2,4,
2,1,1,1,2,1,2,1],[1,7,6,6,5,2,2,1,2,2,2,1,4,2,10,8,6,1,1,2,2,4,2,4,2,4,2,4,3,
1,1,2,1,2,1],[1,9,4,6,9,3,3,2,4,2,18,2,4,1,9,6,2,4,2,4,1,2,1,1,2,1,2,1],[1,11,
2,6,5,2,2,7,2,2,1,2,10,8,4,2,1,1,2,2,4,2,4,2,4,4,2,2,1,1,1,2,2,1,1],[1,7,6,6,
5,2,2,1,2,2,3,4,2,10,8,2,4,1,1,2,2,4,2,4,2,4,2,4,1,2,1,1,2,1,2,1],[1,5,8,6,2,
3,4,1,1,4,2,4,2,2,4,12,2,4,1,2,2,1,4,2,4,2,2,2,2,2,2,1,2,1,1,1,1,1,1,1,1],[1,
7,6,6,5,2,2,1,2,2,2,1,4,2,10,8,4,2,1,1,2,2,4,2,4,2,2,2,2,2,2,2,1,1,1,1,1,1,1,
1,1],[1,9,4,6,2,3,4,1,7,2,2,2,2,4,12,6,1,2,2,1,4,2,4,6,4,2,3,1,1,2,2,1,1],[1,
3,10,6,3,6,1,2,5,4,2,6,12,2,4,1,3,6,6,2,4,2,4,1,2,1,1,2,1,2,1],[1,3,10,6,1,2,
6,1,1,1,5,4,2,8,2,8,2,4,1,1,1,3,2,2,2,2,2,2,4,2,2,2,1,2,1,1,1,1,1,1,1,1],[1,1,
10,8,3,2,4,2,4,8,2,12,4,2,4,4,4,1,2,1,4,4,4,4,2,1,1,2,1,2,1,1],[1,1,2,16,1,2,
6,4,4,12,12,2,4,8,1,3,4,8,4,2,1,1,2,1,2,1,1],[1,1,14,4,7,2,28,4,2,4,8,7,1,8,4,
2,1,1,2,1,2,1,1],[1,1,6,12,3,6,4,4,12,12,2,4,8,1,3,4,8,4,2,1,1,2,1,2,1,1],[1,
1,2,16,1,6,2,12,16,4,2,4,8,3,4,1,8,4,2,1,1,2,1,2,1,1],[1,1,6,12,1,2,2,4,2,8,2,
4,12,4,2,4,4,4,1,2,1,4,4,4,4,2,1,1,2,1,2,1,1],[1,1,4,14,1,2,4,2,1,2,5,4,12,8,
2,2,2,2,2,4,1,1,2,4,2,2,4,4,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,16,1,6,2,12,16,4,2,
4,8,3,4,1,8,2,2,2,1,1,2,1,2,1,1],[1,1,8,10,3,4,2,1,4,2,5,12,8,2,2,2,2,2,4,1,1,
2,4,2,2,4,4,1,1,1,1,1,1,1,1,1,1,1],[1,1,6,12,1,4,4,2,8,2,4,12,4,2,4,4,4,2,1,1,
4,4,4,2,2,2,1,1,2,1,2,1,1],[1,1,2,16,1,8,4,4,12,12,2,4,8,3,1,4,4,4,2,2,2,1,1,
2,1,2,1,1],[1,1,2,16,1,6,2,1,1,2,4,8,16,2,4,2,2,2,2,1,1,1,1,2,2,2,2,4,2,2,2,1,
1,1,1,1,1,1,1,1],[1,3,6,10,1,3,5,8,4,4,8,8,2,4,1,2,2,8,1,2,2,2,8,1,2,1,1,2,2,
1,1],[1,3,10,6,1,5,3,12,2,2,4,6,6,2,4,1,6,6,3,2,2,4,4,1,2,1,1,2,2,1,1],[1,3,6,
10,1,3,5,12,2,2,6,6,4,2,4,1,6,6,3,2,2,4,4,1,2,1,1,2,2,1,1],[1,3,2,14,1,1,7,8,
4,4,8,8,2,4,1,2,2,8,1,2,2,2,8,1,2,1,1,2,2,1,1],[1,3,8,8,1,3,1,6,10,1,4,2,1,8,
4,2,2,2,1,1,1,2,4,2,2,1,2,2,2,2,2,4,1,1,1,1,1,1,1,1,1,1,1],[1,3,4,12,1,1,3,6,
10,1,2,1,4,8,4,2,2,2,1,1,1,2,4,2,2,1,2,2,2,2,2,4,1,1,1,1,1,1,1,1,1,1,1],[1,3,
6,10,1,3,5,12,2,2,6,6,4,2,4,1,6,6,3,2,2,4,4,1,2,1,1,2,2,1,1],[1,3,2,14,1,1,7,
8,4,4,8,8,2,4,1,2,2,8,1,2,2,2,8,1,2,1,1,2,2,1,1],[1,3,2,14,1,4,10,6,1,1,2,4,4,
8,2,4,1,1,1,2,2,2,4,1,2,2,2,2,2,4,1,2,1,1,1,1,1,1,1,1],[1,1,8,6,4,3,2,2,2,2,1,
4,2,1,4,2,8,8,2,4,1,1,1,2,2,4,1,4,4,4,2,2,1,2,1,1,1,1,1,1,1,1],[1,1,8,6,4,3,2,
2,2,2,1,4,2,1,4,2,8,8,2,4,1,1,1,2,2,4,1,4,4,4,2,2,1,2,1,1,1,1,1,1,1,1],[1,1,4,
10,4,1,4,2,4,1,1,2,4,4,2,4,4,8,2,4,1,1,1,2,2,4,1,2,2,2,2,4,2,2,1,2,1,1,1,1,1,
1,1,1],[1,1,6,8,4,1,2,4,2,2,2,8,2,12,4,2,2,2,2,4,4,2,1,4,1,2,2,2,2,4,1,1,1,1,
1,1,1,1,1,1,1],[1,1,2,12,4,1,6,2,2,4,12,12,2,2,2,2,8,3,4,1,4,4,4,1,1,1,1,1,1,
1,1,1,1,1],[1,1,4,10,4,1,4,2,2,2,1,2,5,12,8,2,2,4,2,2,4,1,2,4,1,2,2,4,4,1,2,1,
1,1,1,1,1,1,1],[1,1,4,10,4,1,4,2,2,2,1,2,5,12,8,2,2,4,2,2,4,1,2,4,1,2,2,4,4,1,
2,1,1,1,1,1,1,1,1],[1,7,2,2,8,7,1,1,4,4,4,8,12,2,4,1,1,2,2,8,2,2,2,8,2,1,1,1,
2,1,2,1],[1,3,4,12,1,2,4,4,12,18,4,2,1,3,12,4,8,1,2,1,1,2,1,2,1],[1,7,4,4,4,7,
2,2,8,6,4,4,8,4,2,1,2,1,4,4,4,4,4,4,1,2,1,1,2,2,1,1],[1,3,4,8,4,1,2,4,4,8,6,4,
4,8,6,2,1,1,4,4,4,4,4,4,3,1,2,1,1,2,1],[1,3,2,6,8,1,1,3,4,4,4,4,8,12,2,4,1,1,
2,2,8,2,4,2,2,4,2,1,1,1,1,1,1,1,1,1],[1,7,2,10,7,1,5,16,12,2,4,1,3,4,8,4,4,2,
2,2,1,1,1,1,1,1,1,1,1],[1,3,4,4,8,1,2,2,8,8,4,4,8,4,2,4,2,1,1,4,4,4,2,2,4,4,1,
2,1,2,1,2,1,1],[1,1,2,4,12,1,2,2,2,8,1,3,6,5,1,6,4,2,4,1,2,1,1,2,2,2,2,2,1,2,
2,2,2,2,2,1,2,1,1,1,1,1,1,1,1],[1,3,16,1,4,12,20,4,2,4,3,1,12,2,2,4,4,1,2,1,1,
2,1,2,1],[1,3,12,4,1,6,12,6,6,3,1,12,12,3,1,3,3,1],[1,7,8,4,7,4,8,6,4,2,1,2,1,
8,4,4,8,1,2,1,2,1,1,2,1],[1,1,2,8,8,1,2,2,4,4,4,4,4,2,4,1,1,2,8,8,4,4,2,1,1,1,
1,2,2,1],[1,1,6,4,8,3,2,4,4,4,4,4,2,4,1,1,2,8,8,4,4,2,1,1,1,1,2,2,1],[1,1,6,8,
4,3,2,2,2,2,4,4,4,2,2,2,2,1,1,1,1,4,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1],[1,1,14,
4,5,2,4,8,4,2,2,4,2,1,1,4,8,8,4,1,2,1,1,2,2,1,1],[1,7,2,6,7,1,3,12,12,8,1,3,3,
8,12,1,2,2,2,1],[1,3,6,6,1,3,3,12,4,12,4,4,1,3,8,3,2,2,8,1,2,1,2,1,1],[1,1,4,
6,4,1,2,2,2,2,1,2,1,4,2,8,8,4,4,1,1,2,2,4,1,4,2,4,2,4,1,1,1,2,2,1],[1,1,8,2,4,
3,2,2,2,1,4,2,1,2,8,8,4,4,1,1,2,2,4,1,4,2,4,2,4,1,1,1,2,2,1],[1,3,2,2,8,1,1,1,
4,4,4,8,12,4,4,1,2,2,8,2,2,2,4,4,1,1,1,2,2,1],[1,3,2,10,1,1,5,8,4,8,8,4,4,2,2,
8,1,2,4,2,4,2,1,1,1,2,2,1],[1,7,2,6,7,1,3,12,12,4,4,1,3,3,8,2,2,8,1,2,1,1,2,
1],[1,7,2,6,7,1,3,12,12,8,1,3,3,8,4,8,1,2,2,2,1],[1,1,8,2,4,3,2,2,2,1,4,2,1,2,
8,8,8,1,1,2,2,4,1,4,4,4,4,1,2,2,2,1],[1,1,4,6,4,1,2,2,2,2,1,2,1,4,2,8,8,8,1,1,
2,2,4,1,4,4,4,4,1,2,2,2,1],[1,3,4,8,1,1,1,6,10,1,2,1,8,4,4,2,2,1,1,2,4,2,2,1,
2,1,1,4,2,2,2,1,1,1,1,1,1,1,1],[1,3,2,10,1,2,10,6,1,1,2,4,8,4,4,1,1,2,2,2,4,1,
2,2,4,2,4,1,1,1,2,2,1],[1,3,4,4,4,1,2,2,8,6,4,4,8,6,2,2,1,4,4,4,2,2,1,3,4,1,1,
1,1,1,1,1,1],[1,1,4,2,8,1,2,4,4,4,1,3,4,1,5,6,4,4,1,2,1,1,1,1,1,4,2,1,2,4,2,2,
2,1,1,1,2,2,1],[1,1,4,2,8,1,2,4,4,4,1,3,4,1,5,6,4,4,1,2,1,1,1,1,1,4,2,1,2,4,2,
2,2,1,1,1,2,2,1],[1,3,6,6,1,3,3,12,4,12,8,1,3,8,3,4,8,1,2,2,2,1],[1,3,6,6,1,3,
3,12,4,12,8,1,3,8,3,4,8,1,2,2,2,1],[1,3,6,6,1,3,3,12,4,12,8,1,3,8,3,4,8,1,2,2,
2,1],[1,3,4,8,1,1,1,6,10,1,2,1,8,4,2,6,1,1,2,4,2,2,1,2,3,1,2,2,4,1,1,1,1,1,1,
1,1],[1,3,4,8,1,1,1,6,10,1,2,1,8,4,6,2,1,1,2,4,2,2,1,2,1,3,2,2,4,1,1,1,1,1,1,
1,1],[1,1,4,6,4,1,2,2,2,2,1,2,1,4,2,8,8,4,4,1,1,2,2,4,1,4,2,4,2,4,1,1,1,2,2,
1],[1,1,8,2,4,3,2,2,2,1,4,2,1,2,8,8,4,4,1,1,2,2,4,1,4,6,2,4,1,1,1,2,2,1],[1,1,
4,6,4,1,2,2,4,1,1,2,4,2,4,4,8,4,4,1,1,2,2,4,1,2,2,2,4,2,4,1,1,1,2,2,1],[1,3,2,
10,1,1,5,8,4,8,8,4,4,2,2,8,1,2,2,2,8,1,2,1,1,2,1],[1,3,2,10,1,1,5,8,4,8,8,8,2,
2,8,1,2,4,8,1,2,2,2,1],[1,1,4,10,1,4,2,1,2,5,12,8,2,2,2,2,2,2,4,1,2,4,1,1,1,1,
4,4,1,1,1,1,1,1,1,1],[1,1,6,8,1,2,4,2,8,2,12,4,2,2,4,4,4,2,1,4,1,2,1,2,2,4,1,
1,1,1,1,1,1,1],[1,1,6,8,1,2,4,2,8,2,12,4,2,2,4,4,4,2,1,4,1,2,1,2,2,4,1,1,1,1,
1,1,1,1],[1,1,8,6,1,6,7,6,3,12,2,2,2,2,1,3,4,3,4,1,1,1,1,4,4,1,1,1,1,1,1,1,
1],[1,1,8,2,4,3,2,2,2,1,4,2,1,2,8,8,4,4,1,1,2,2,4,1,4,4,2,2,4,1,2,1,1,2,1],[1,
1,4,6,4,1,2,2,2,2,1,2,1,4,2,8,8,4,4,1,1,2,2,4,1,4,4,2,2,4,1,2,1,1,2,1],[1,1,4,
6,4,1,2,2,2,2,1,2,1,4,2,8,8,8,1,1,2,2,4,1,4,4,8,1,2,2,2,1],[1,1,8,2,4,3,2,2,2,
1,4,2,1,2,8,8,8,1,1,2,2,4,1,4,4,8,1,2,2,2,1],[1,1,6,4,4,1,4,1,1,2,1,1,2,1,3,2,
2,6,8,6,2,1,1,1,1,2,1,1,2,1,2,2,2,2,3,1,2,2,1,1,1,1,1,1,1,1],[1,1,6,4,4,1,4,1,
1,2,1,1,2,1,3,2,2,6,8,2,6,1,1,1,1,2,1,1,2,1,2,2,2,2,1,3,2,2,1,1,1,1,1,1,1,1],[
1,1,4,6,4,1,2,2,4,1,1,2,4,2,4,4,8,4,4,1,1,2,2,4,1,2,2,2,2,4,4,1,1,1,2,2,1],[1,
3,2,10,1,2,10,6,1,1,2,4,8,4,4,1,1,2,2,2,4,1,2,4,2,4,2,1,1,1,2,2,1],[1,3,4,8,1,
1,1,6,10,1,2,1,8,4,4,2,2,1,1,2,4,2,2,1,2,2,2,1,1,4,2,1,1,1,1,1,1,1,1],[1,7,2,
6,7,1,3,12,12,8,1,3,3,8,4,8,1,2,2,2,1],[1,3,2,2,8,1,1,1,4,4,4,8,12,4,4,1,2,2,
8,2,2,2,8,1,2,1,2,1,1],[1,3,4,4,4,1,2,2,8,6,4,4,8,2,6,2,1,4,4,4,3,2,2,1,4,1,1,
1,1,1,1,1,1],[1,3,2,2,8,1,1,1,4,4,4,8,12,8,1,2,2,8,2,4,4,4,1,2,2,2,1],[1,1,4,
2,8,1,2,4,4,4,1,3,4,1,5,6,4,4,1,2,1,1,1,1,1,4,2,1,2,4,2,2,2,1,1,1,2,2,1],[1,3,
6,6,1,3,3,12,2,2,6,6,4,4,6,6,3,2,2,2,2,2,2,16,1,1,1,4,4,4,1],[1,3,6,6,1,3,3,
12,2,2,6,6,4,4,6,6,3,2,2,8,2,2,2,2,8,1,1,1,2,4,4,2,1],[1,1,6,12,3,6,4,8,12,6,
1,3,2,6,12,3,6,2,3,6,6,1],[1,1,2,16,1,2,6,4,8,4,8,6,1,2,1,2,6,8,4,1,2,6,2,1,2,
4,2,4,2,1],[1,7,6,6,7,3,3,12,4,4,6,1,1,1,3,6,6,6,3,3,3,2,3,3,3,6,1],[1,7,2,10,
7,1,5,8,4,4,4,6,1,1,1,1,2,2,10,2,4,1,2,3,3,2,2,1,1,1,2,2,2,4,1],[1,7,12,7,18,
8,6,1,3,2,6,12,3,6,2,3,6,6,1],[1,13,6,3,7,7,12,4,6,1,1,3,1,6,6,6,3,3,3,2,3,3,
3,6,1],[1,7,6,6,3,7,3,4,12,4,6,1,1,3,1,6,6,6,3,3,3,2,3,3,3,6,1],[1,3,10,6,3,1,
2,3,4,4,8,4,4,6,1,1,1,2,1,4,2,6,4,2,3,1,2,3,2,1,1,2,2,2,1,2,4,1],[1,9,4,6,3,1,
7,2,4,4,8,4,6,1,1,2,1,1,4,2,6,4,2,3,1,2,3,2,1,2,2,1,2,1,2,4,1],[1,3,2,14,1,1,
7,4,4,4,12,6,1,3,1,1,4,4,10,1,2,5,1,2,2,2,1,1,1,2,2,2,2,1],[1,3,6,10,1,3,5,4,
4,4,8,4,6,1,2,1,1,1,2,2,10,4,3,2,3,1,2,2,2,1,1,1,2,4,2,1],[1,3,4,12,1,2,4,8,
10,8,6,1,2,1,2,8,6,4,1,2,6,2,1,2,4,2,4,2,1],[1,3,4,1,6,6,6,1,3,3,1,3,3,1],[1,
3,4,1,6,6,6,1,3,3,1,1,2,1,1,1,1],[1,1,2,4,1,2,4,2,2,4,4,1,1,2,2,1,1,1,1,1,1,1,
1,1],[1,1,2,4,1,2,4,2,2,4,4,1,1,2,2,1,1,1,1,1,1,1,1,1],[1,1,2,4,1,2,4,2,2,4,4,
1,1,2,2,1,1,1,1,1,1,1,1,1],[1,1,2,4,1,2,4,2,2,4,4,1,1,2,2,1,1,1,1,1,1,1,1,1],[
1,3,2,2,1,1,1,4,8,4,1,2,2,2,4,1,2,2,1,1,1],[1,3,2,2,1,1,1,4,4,4,4,1,2,2,2,2,2,
1,1,1,2,2,1],[1,3,2,2,1,1,1,4,4,8,1,4,2,2,2,1,1,1,2,2,1],[1,3,2,2,1,1,1,4,4,8,
1,2,2,4,2,1,2,2,2,1],[1,3,2,2,1,1,1,4,4,4,4,1,2,2,2,2,2,1,2,2,1,1,1],[1,1,4,2,
1,2,1,2,1,2,2,6,2,1,1,1,3,1,2,2,1,1,1,1,1,1,1,1],[1,1,4,2,1,2,1,2,1,2,2,2,6,1,
1,3,1,1,2,2,1,1,1,1,1,1,1,1],[1,3,2,6,1,1,3,4,4,2,4,4,1,1,2,2,1,2,2,2,2,1,2,1,
2,1,1],[1,3,6,2,1,3,1,4,4,2,4,4,1,1,2,2,1,2,2,2,2,1,2,1,2,1,1],[1,3,2,6,1,1,3,
4,4,2,4,4,1,1,2,2,1,2,2,2,2,1,2,1,2,1,1],[1,3,2,6,1,1,3,4,4,6,4,1,1,2,2,2,2,2,
3,1,2,1,2,1,1],[1,3,4,4,1,2,4,6,8,2,1,1,4,4,1,4,1,2,1,2,1,1],[1,3,2,6,1,1,3,4,
4,6,4,1,1,2,2,2,2,2,3,1,1,1,1,1,1,1,1],[1,3,2,2,4,1,1,1,4,2,2,2,4,2,2,2,1,1,2,
2,2,2,1,1,1,2,1,1,1,1,1,1,1,1],[1,3,4,4,1,2,4,4,2,4,2,4,1,1,2,2,4,2,1,2,1,2,1,
2,1,1],[1,1,2,4,4,1,2,2,2,4,2,2,4,2,2,1,1,4,1,1,1,2,4,1,1,1,1,1,1,1,1],[1,7,4,
7,6,4,6,1,1,4,3,6,1,2,1,2,1,1],[1,7,2,2,7,1,1,4,2,8,1,1,2,2,4,2,2,1,1,2,2,1,1,
1],[1,1,6,4,3,2,4,4,4,2,4,1,1,4,6,2,1,1,2,1,2,1,1],[1,1,2,8,1,2,2,4,4,4,2,4,1,
1,4,2,4,2,1,1,2,1,2,1,1],[1,1,2,8,1,2,2,4,4,4,2,4,1,1,2,2,2,4,2,1,1,2,1,2,1,
1],[1,1,4,2,4,1,2,2,2,1,2,1,2,2,4,4,1,1,2,2,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,4,
2,4,1,2,2,2,1,2,1,2,2,4,4,1,1,2,2,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,4,1,2,2,
2,4,2,2,2,6,1,1,4,1,3,1,4,1,1,1,1,1,1,1,1],[1,1,2,4,4,1,2,2,2,4,2,2,6,2,1,1,4,
1,1,3,4,1,1,1,1,1,1,1,1],[1,1,4,6,1,2,2,1,2,1,4,2,6,2,1,1,2,2,1,3,1,2,2,1,1,1,
1,1,1,1,1],[1,1,2,8,1,2,2,4,4,2,4,4,1,1,4,2,2,1,4,1,1,1,1,1,1,1,1],[1,1,8,2,3,
2,1,4,2,1,2,2,6,1,1,2,2,3,1,1,2,2,1,1,1,1,1,1,1,1],[1,1,6,4,3,2,4,4,2,4,4,1,1,
4,2,2,1,4,1,1,1,1,1,1,1,1],[1,3,4,4,1,2,4,6,4,6,1,1,4,3,4,2,1,1,1,1,1,1,1,1],[
1,7,4,7,6,10,1,1,4,5,4,1,1,2,2,1,1],[1,3,4,4,1,2,4,6,4,6,1,1,4,3,2,4,1,1,2,2,
1,1],[1,1,6,4,3,2,4,4,6,4,1,1,4,2,3,4,1,1,2,2,1,1],[1,1,2,8,1,2,2,4,4,6,4,1,1,
4,2,3,4,1,1,2,2,1,1],[1,3,4,4,1,2,4,6,8,2,1,1,4,1,4,4,1,1,1,1,1,1,1,1],[1,1,2,
4,4,1,2,2,2,4,2,6,2,2,1,1,4,3,1,1,4,1,1,1,1,1,1,1,1],[1,1,6,4,1,2,4,4,2,6,4,1,
1,4,1,2,2,4,1,1,2,2,1,1],[1,1,2,4,4,1,2,2,2,4,2,2,2,6,1,1,4,1,3,1,4,1,1,1,1,1,
1,1,1],[1,1,2,4,4,1,2,2,2,4,2,2,6,2,1,1,4,1,1,3,4,1,1,1,1,1,1,1,1],[1,1,2,8,1,
2,2,4,4,2,8,1,1,4,4,1,4,1,1,1,1,1,1,1,1],[1,1,6,4,3,2,4,4,2,8,1,1,4,4,1,4,1,1,
1,1,1,1,1,1],[1,3,2,2,8,1,1,1,4,4,4,4,8,1,2,4,4,4,2,4,2,8,4,1,2,1,1,2,4,4,1],[
1,7,2,6,7,1,3,4,4,8,1,1,1,2,6,2,2,2,2,4,8,4,1,1,1,1,1,1,1,4,4,1],[1,3,2,10,1,
1,5,8,4,8,1,2,4,4,4,4,2,2,8,4,1,2,1,1,2,4,4,1],[1,3,6,6,1,3,3,4,4,4,8,1,1,1,2,
2,6,2,8,2,4,2,4,1,1,1,1,1,1,1,4,4,1],[1,3,2,10,1,1,5,4,8,8,2,1,4,4,4,2,6,6,2,
4,2,1,1,1,2,4,4,1],[1,3,2,10,1,1,5,4,4,4,8,1,1,1,1,3,3,5,2,3,9,2,4,1,1,1,1,1,
1,1,2,2,2,2,1],[1,1,4,6,4,1,2,2,2,2,1,2,1,4,2,8,1,1,1,2,2,4,2,2,4,4,2,2,4,4,1,
1,1,1,1,1,1,4,4,1],[1,1,8,2,4,3,2,2,2,1,4,2,1,2,8,1,1,1,2,2,4,2,2,4,4,2,2,4,4,
1,1,1,1,1,1,1,4,4,1],[1,3,2,6,1,1,3,10,1,3,3,3,3,3,6,3,10,1,3,1,1,3,3,3,1],[1,
7,4,7,6,2,1,1,4,1,4,1,2,1],[1,1,2,8,1,2,2,4,4,2,1,1,4,1,4,1,2,1],[1,1,6,4,3,2,
4,4,2,1,1,4,1,4,1,2,1],[1,3,4,4,1,2,4,6,2,1,1,4,1,4,1,2,1],[1,7,4,4,7,2,4,6,2,
6,1,1,1,4,4,4,3,4,1,1,1,1,1,1,1,1,1],[1,7,4,4,7,2,4,6,6,2,1,1,1,4,4,4,1,7,1,1,
1,1,1,1,1,1],[1,3,8,4,1,4,8,6,2,6,2,1,4,4,4,3,4,1,1,1,1,1,1,1,1,1],[1,7,2,6,7,
1,3,4,4,4,4,1,1,1,2,6,2,2,2,2,4,1,1,1,1,1,1,1,1],[1,1,2,8,4,1,2,2,2,2,4,4,2,2,
6,1,1,1,4,4,4,3,1,4,1,1,1,1,1,1,1,1],[1,1,4,6,4,1,2,2,2,2,1,2,1,4,2,4,4,1,1,1,
2,2,4,2,2,2,2,4,1,1,1,1,1,1,1,1],[1,1,8,2,4,3,2,2,2,1,4,2,1,2,4,4,1,1,1,2,2,4,
2,2,2,2,4,1,1,1,1,1,1,1,1],[1,1,6,4,4,3,2,2,2,4,4,2,6,2,1,1,1,4,4,4,1,3,4,1,1,
1,1,1,1,1,1],[1,1,2,8,4,1,2,2,2,2,4,4,2,4,2,2,1,1,1,4,4,4,2,4,1,1,1,1,1,1,1,1,
1,1],[1,1,6,4,4,3,2,2,2,4,4,2,4,2,2,1,1,1,4,4,4,6,1,1,1,1,1,1,1,1,1,1],[1,1,
10,4,3,2,4,4,4,2,4,4,1,1,1,4,4,4,3,3,2,1,1,1,1,1,1,1,1],[1,1,6,4,4,3,2,2,2,4,
4,2,2,6,1,1,1,4,4,4,3,1,4,1,1,1,1,1,1,1,1],[1,1,2,8,4,1,2,2,2,2,4,4,2,6,2,1,1,
1,4,4,4,1,3,4,1,1,1,1,1,1,1,1],[1,1,6,8,3,2,2,4,4,4,2,2,4,1,1,1,4,4,4,1,2,1,4,
1,1,1,1,1,1,1,1],[1,1,6,8,3,2,2,4,4,4,2,2,4,1,1,1,4,4,4,1,2,1,4,1,1,1,1,1,1,1,
1],[1,1,2,12,1,4,2,4,4,4,2,2,4,1,1,1,2,2,4,2,2,1,2,1,4,1,1,1,1,1,1,1,1],[1,1,
2,12,5,2,1,1,2,8,2,2,4,2,1,4,4,4,1,2,1,4,1,1,2,1,2,1],[1,1,8,6,3,2,2,1,4,2,1,
4,2,2,2,2,1,1,1,4,2,2,2,2,1,1,1,1,4,1,1,1,1,1,1,1,1],[1,3,6,2,4,1,3,1,4,2,2,4,
2,2,2,2,2,1,1,1,2,2,2,4,2,1,1,1,4,1,1,1,1,1,1,1,1,1],[1,3,2,6,4,1,1,3,4,2,2,4,
2,2,2,2,2,1,1,1,2,2,2,4,2,1,1,1,4,1,1,1,1,1,1,1,1,1],[1,3,8,4,1,4,4,4,4,2,2,2,
4,1,1,1,2,2,2,4,2,1,2,4,1,1,1,1,1,1,1,1,1],[1,1,4,2,8,1,2,4,4,1,2,1,4,2,2,2,2,
1,2,2,2,2,2,4,1,1,1,1,4,1,1,1,1,1,1,1,1],[1,1,2,4,8,1,2,4,4,4,4,2,2,4,1,2,4,4,
4,1,2,4,1,1,1,1,1,1,1,1,1],[1,1,2,4,8,1,2,4,4,4,4,2,2,4,1,2,4,4,4,1,2,4,1,1,1,
1,1,1,1,1,1],[1,3,2,10,1,1,5,8,4,4,4,1,2,2,2,4,2,2,2,2,4,1,1,1,1,1,1,1,1],[1,
1,2,8,4,1,2,2,2,2,4,4,2,4,2,2,1,1,1,4,4,4,1,1,2,4,1,1,1,1,1,1,1,1],[1,1,6,4,4,
3,2,2,2,4,4,2,4,2,2,1,1,1,4,4,4,1,1,2,4,1,1,1,1,1,1,1,1],[1,3,8,4,1,4,8,6,6,2,
2,1,4,8,4,1,3,1,1,1,1,1,2,1],[1,3,2,6,1,1,3,4,4,2,8,1,1,2,2,4,4,1,4,1,1,1,1,1,
1,1,1],[1,7,2,2,7,1,1,4,6,4,1,1,2,2,2,7,4,1,1,1,1,1,1,1,1],[1,1,8,2,3,2,1,4,2,
1,4,2,2,2,1,1,2,2,6,1,1,1,4,1,1,1,1,1,1,1,1],[1,1,4,6,1,2,2,1,2,1,4,4,2,2,2,1,
1,2,2,2,4,1,1,1,4,1,1,1,1,1,1,1,1],[1,1,2,8,3,2,1,1,2,4,4,2,4,1,1,2,2,3,3,2,1,
4,1,1,1,1,1,1,1,1],[1,1,4,2,4,1,2,2,2,1,2,1,2,2,4,4,1,1,2,2,1,2,2,4,4,1,1,1,1,
1,1,1,1],[1,1,4,2,4,1,2,2,2,1,2,1,2,2,4,4,1,1,2,2,1,2,2,4,4,1,1,1,1,1,1,1,1],[
1,1,8,2,3,2,1,4,2,1,2,6,2,1,1,2,2,1,3,1,4,4,1,1,1,1,1,1,1,1],[1,1,4,6,1,2,2,1,
2,1,4,2,2,6,1,1,2,2,3,1,1,4,4,1,1,1,1,1,1,1,1],[1,3,6,2,1,3,1,4,4,2,4,4,1,1,2,
2,1,2,2,4,4,1,1,1,1,1,1,1,1],[1,3,2,6,1,1,3,4,4,2,4,4,1,1,2,2,1,2,2,4,4,1,1,1,
1,1,1,1,1],[1,3,2,6,1,1,3,4,4,2,8,1,1,1,1,1,1,1,4,4,4,1,1,1,1,1,1,1,1],[1,1,4,
2,4,1,2,2,2,1,2,1,2,2,4,4,1,1,2,2,1,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,4,2,4,1,2,2,
2,1,2,1,2,2,4,4,1,1,2,2,1,2,2,4,4,1,1,1,1,1,1,1,1],[1,3,2,6,1,1,3,4,4,6,4,1,1,
2,2,4,2,3,4,1,1,1,1,1,1,1,1],[1,3,2,2,4,1,1,1,4,2,2,2,2,6,2,1,1,2,2,1,3,4,4,1,
1,1,1,1,1,1,1,1],[1,3,2,2,4,1,1,1,4,2,2,2,2,2,6,1,1,2,2,3,1,4,4,1,1,1,1,1,1,1,
1,1],[1,3,2,6,1,1,3,4,4,6,4,1,1,2,2,2,4,3,4,1,1,1,1,1,1,1,1],[1,3,4,4,1,2,4,6,
2,8,1,1,4,4,1,2,1,1],[1,3,2,6,1,1,3,4,4,2,4,4,1,1,2,2,1,2,2,1,1,1,1],[1,3,2,6,
1,1,3,4,4,2,4,4,1,1,2,2,1,2,2,1,1,1,1],[1,3,2,6,1,1,3,4,4,2,4,4,1,1,2,2,1,2,2,
1,1,1,1],[1,3,6,2,1,3,1,4,4,2,4,4,1,1,2,2,1,2,2,1,1,1,1],[1,7,2,2,7,1,1,4,2,4,
4,1,1,2,2,2,2,1,1,1,1,1],[1,7,2,2,7,1,1,4,2,4,4,1,1,2,2,2,2,1,1,1,1,1],[1,3,4,
4,1,2,4,4,2,4,2,4,1,1,2,2,2,1,2,1,1,1,1],[1,1,6,4,1,2,4,4,2,2,8,1,1,4,1,4,2,1,
1],[1,3,2,6,1,1,3,4,4,6,4,1,1,2,2,1,2,2,1,1,1,1],[1,3,2,6,1,1,3,4,4,6,4,1,1,2,
2,1,2,2,1,1,1,1],[1,3,2,6,1,1,3,4,4,6,4,1,1,2,2,1,2,2,1,1,1,1],[1,3,6,2,1,3,1,
4,4,6,4,1,1,2,2,1,2,2,1,1,1,1],[1,1,2,8,1,2,2,4,4,2,8,1,1,4,4,1,2,1,1],[1,1,6,
4,3,2,4,4,2,8,1,1,4,4,1,2,1,1],[1,1,2,8,1,2,2,4,4,2,8,1,1,4,4,1,2,1,1],[1,1,6,
4,3,2,4,4,2,8,1,1,4,4,1,2,1,1],[1,1,2,8,1,2,2,4,4,2,4,4,1,1,2,2,2,2,1,1,1,1,
1],[1,1,2,8,1,4,4,4,2,4,4,1,1,2,2,2,2,1,1,1,1,1],[1,1,2,8,1,4,4,4,2,4,4,1,1,2,
2,2,2,1,1,1,1,1],[1,3,2,6,1,1,3,4,4,2,4,4,1,1,2,2,2,2,1,1,1,1,1],[1,3,2,6,1,1,
3,4,4,2,4,4,1,1,2,2,2,2,1,1,1,1,1],[1,5,4,2,1,1,1,2,4,4,6,4,1,1,2,2,1,2,2,1,1,
1,1],[1,3,6,2,1,1,3,4,4,4,2,4,1,1,2,2,2,1,2,1,1,1,1],[1,3,6,2,1,1,3,4,4,6,4,1,
1,2,2,2,1,2,1,1,1,1],[1,9,2,1,1,7,4,6,4,1,1,2,2,2,1,2,1,1,1,1],[1,9,2,1,1,7,4,
2,4,4,1,1,2,2,2,1,2,1,1,1,1],[1,7,2,2,1,7,1,4,2,4,4,1,1,2,2,1,2,2,1,1,1,1],[1,
9,2,1,7,1,4,6,4,1,1,2,2,1,2,2,1,1,1,1],[1,3,6,2,1,1,2,1,4,4,2,4,4,1,1,2,2,1,2,
2,1,1,1,1],[1,1,8,2,1,1,1,2,4,4,2,4,4,1,1,2,2,1,2,2,1,1,1,1],[1,3,6,2,1,1,1,2,
4,4,4,2,4,1,1,2,2,1,2,2,1,1,1,1],[1,5,6,3,1,1,4,4,10,1,1,2,2,1,2,2,1,1,1,1],[
1,5,6,3,1,1,4,4,6,4,1,1,2,2,1,2,2,1,1,1,1],[1,3,2,6,3,1,1,4,4,6,4,1,1,2,2,1,2,
2,1,1,1,1],[1,3,2,6,3,1,1,4,4,4,2,4,1,1,2,2,1,2,2,1,1,1,1],[1,1,6,4,1,2,4,4,2,
2,8,1,1,4,1,4,2,1,1],[1,7,4,7,6,10,1,1,4,5,2,1,1],[1,3,4,4,1,2,4,6,2,8,1,1,4,
1,4,2,1,1],[1,3,8,1,8,4,4,2,4,1,1,2,2,2,1,2,1,1,1,1],[1,7,4,7,6,2,8,1,1,4,1,4,
2,1,1],[1,3,8,1,8,4,6,4,1,1,2,2,2,1,2,1,1,1,1],[1,3,2,2,1,1,1,4,4,1,2,2,2,4,1,
2,2,2,1],[1,3,2,2,1,1,1,4,8,4,1,2,4,4,4,1,1,2,1,1,1,1],[1,1,4,2,1,2,1,2,1,2,6,
2,2,1,1,1,1,3,4,4,1,1,1,1,1,1,1,1],[1,3,2,2,1,1,1,4,4,8,1,4,2,4,4,1,1,1,2,1,1,
1],[1,3,2,2,1,1,1,4,4,8,1,4,2,4,4,1,1,1,2,1,1,1],[1,3,2,2,1,1,1,4,8,4,1,2,4,4,
4,1,1,2,1,1,1,1],[1,1,4,2,1,2,1,2,1,2,2,2,6,1,1,3,1,1,4,4,1,1,1,1,1,1,1,1],[1,
1,4,2,1,2,1,2,1,2,2,6,2,1,1,1,3,1,4,4,1,1,1,1,1,1,1,1],[1,1,4,2,1,2,1,2,1,6,2,
2,2,1,3,1,1,1,4,4,1,1,1,1,1,1,1,1],[1,1,2,4,1,2,1,1,2,6,2,4,1,1,2,2,1,4,4,1,1,
2,1,2,1],[1,1,2,4,1,2,4,4,1,2,2,1,2,1,2,1,1,1,1],[1,1,2,4,1,2,4,4,1,2,2,1,2,1,
2,1,1,1,1],[1,3,4,1,2,8,1,2,3,2,1,2,1,1,1,1],[1,3,4,1,2,4,4,1,2,1,2,2,1,2,1,1,
1,1],[1,1,2,4,1,2,8,1,2,3,2,1,4,2,1,1,1,2,2,1],[1,3,4,1,2,8,1,2,3,2,4,1,2,1,1,
1,2,2,1],[1,1,2,4,1,2,1,1,2,2,2,4,4,1,1,4,1,2,2,4,4,2,1,1],[1,3,8,4,1,4,8,2,4,
2,1,2,4,1,2,1,2,1,1,1,2,2,1],[1,1,2,4,8,1,2,4,4,4,4,2,4,1,2,1,2,1,2,1,1,1,2,2,
1],[1,1,2,4,1,2,1,1,2,2,2,1,1,1,4,4,1,2,1],[1,1,6,4,1,2,2,6,2,1,1,2,1,2,2,1,1,
2,1,1,1,1,1,1,1,1],[1,3,8,5,1,3,4,1,2,1,1],[1,3,5,8,1,3,4,1,1,1,1,1],[1,15,2,
2,9,8,6,6,1,6,1,2,1],[1,6,9,2,2,9,2,6,6,6,1,6,1,2,1],[1,9,2,2,9,6,6,1,1,1],[1,
1,7,7,1,1,1,1],[1,15,16,35,15,20,1,1],[1,9,6,16,9,3,3,2,18,9,6,8,12,1,1],[1,9,
6,16,9,3,3,2,18,9,6,8,12,1,1],[1,3,6,6,16,3,6,1,2,3,2,6,12,3,6,6,8,8,4,1,1],[
1,3,6,6,16,1,3,3,12,2,2,6,6,6,6,3,4,8,8,1,1],[1,3,12,16,1,4,12,18,3,12,4,4,12,
1,1],[1,3,12,16,1,4,12,18,3,12,4,16,1,1],[1,15,4,35,12,15,1,4,1,3,1],[1,3,12,
4,1,4,12,18,12,3,12,1,4,1,3,1],[1,3,12,4,1,4,12,18,12,3,12,1,4,1,3,1],[1,9,6,
4,9,3,3,2,18,12,9,6,1,4,1,3,1],[1,3,6,6,4,3,6,3,3,1,1,9,3,6,12,3,6,1,2,3,1,4,
1,1,2,1],[1,3,6,6,4,1,3,3,12,4,12,12,1,3,8,3,1,4,1,1,2,1],[1,3,12,4,1,6,12,16,
12,4,8,3,1,4,1,1,2,1],[1,7,2,6,4,7,1,3,12,12,4,8,1,3,3,8,1,4,1,1,2,1],[1,1,2,
12,4,1,6,6,6,16,4,8,3,4,4,4,1,4,1,1,1,1,1],[1,1,2,12,4,1,6,12,16,4,8,8,3,4,1,
4,1,1,2,1],[1,1,14,4,7,28,4,8,8,7,1,4,1,1,2,1],[1,1,2,12,4,1,6,4,12,12,4,8,8,
3,4,1,4,1,1,2,1],[1,1,8,6,4,1,6,7,6,3,12,4,8,1,3,4,3,4,1,4,1,1,1,1,1],[1,3,16,
1,6,3,4,1,1],[1,7,12,4,7,6,12,6,8,4,1,3,12,3,1,4,3,2,1,1],[1,7,6,6,4,7,3,3,12,
6,4,4,4,1,3,6,6,3,1,4,3,1,1,1,1],[1,3,7,3,6,4,1,3,3,3,3,6,6,3,3,4,4,4,1,3,3,3,
3,3,3,1,4,3,1,1,1,1],[1,3,1,9,6,4,1,3,3,3,3,6,6,3,3,4,4,4,1,3,3,3,3,3,3,1,4,3,
1,1,1,1],[1,1,6,6,6,4,6,3,3,3,6,4,6,4,4,4,1,3,6,6,3,1,4,3,1,1,1,1],[1,1,6,12,
4,3,6,3,3,6,4,6,4,4,4,1,3,6,6,3,1,4,3,1,1,1,1],[1,7,12,4,9,3,9,4,6,4,4,4,1,3,
6,6,3,1,4,3,1,1,1,1],[1,7,12,4,9,3,9,4,6,4,4,4,1,3,6,6,3,1,4,3,1,1,1,1],[1,1,
6,12,4,3,6,3,3,6,4,6,4,4,4,1,3,6,6,3,1,4,3,1,1,1,1],[1,1,6,12,4,3,12,4,6,6,8,
4,1,3,12,3,1,4,3,2,1,1],[1,1,6,12,4,3,6,6,4,6,6,8,4,1,3,12,3,1,4,3,2,1,1],[1,
1,3,3,12,4,3,3,3,6,1,3,6,3,3,8,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,12,6,4,3,6,
3,4,6,3,6,4,4,4,1,3,6,6,3,1,4,3,1,1,1,1],[1,1,18,4,3,6,4,12,6,8,4,1,3,12,3,1,
4,3,2,1,1],[1,1,6,12,4,3,6,4,12,6,8,4,1,3,12,3,1,4,3,2,1,1],[1,1,6,12,4,3,6,3,
3,6,4,6,4,4,4,1,3,6,6,3,1,4,3,1,1,1,1],[1,1,9,9,4,9,1,3,9,3,3,3,4,4,4,3,1,3,3,
3,3,3,1,4,3,1,1,1,1],[1,1,18,4,9,3,4,9,6,8,4,1,3,6,6,3,1,4,3,1,1,1,1],[1,1,9,
9,4,9,3,1,3,9,3,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,3,15,4,6,3,1,3,3,3,
6,3,3,8,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,6,12,4,3,6,3,4,6,3,6,4,4,4,1,3,6,
6,3,1,4,3,1,1,1,1],[1,1,18,4,9,1,12,3,6,8,4,3,1,6,6,3,1,4,3,2,1,1],[1,13,6,4,
3,7,3,12,6,4,4,4,1,3,6,6,3,1,4,3,1,1,1,1],[1,10,3,6,4,3,1,3,3,3,6,6,3,3,4,4,4,
1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,13,6,4,3,3,7,12,6,4,4,4,1,3,6,6,3,1,4,3,1,1,1,
1],[1,4,9,6,4,3,1,3,3,3,6,6,3,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,7,6,6,4,
3,7,3,12,6,4,4,4,1,3,6,6,3,1,4,3,1,1,1,1],[1,7,6,6,4,3,3,3,4,6,6,6,4,4,4,1,3,
6,6,3,1,4,3,1,1,1,1],[1,7,6,6,4,3,7,3,12,6,4,4,4,1,3,6,6,3,1,4,3,1,1,1,1],[1,
1,12,6,4,3,3,3,4,6,6,6,4,4,4,1,3,6,6,3,1,4,3,1,1,1,1],[1,7,12,4,7,18,6,8,4,1,
3,12,3,1,4,3,2,1,1],[1,1,18,4,3,9,9,4,6,8,4,1,3,6,6,3,1,4,3,1,1,1,1],[1,3,16,
4,9,1,3,12,6,8,4,3,1,6,6,3,1,4,3,2,1,1],[1,3,16,4,9,1,3,12,6,8,4,3,1,6,6,3,1,
4,3,2,1,1],[1,1,18,4,1,3,9,12,6,8,4,3,1,6,6,3,1,4,3,2,1,1],[1,3,16,4,1,12,12,
6,8,4,1,3,6,6,3,1,4,3,2,1,1],[1,7,4,7,12,4,1,6,1,4,3,1,1],[1,1,6,4,3,4,6,6,4,
1,3,3,1,4,3,1,1],[1,1,6,4,3,4,6,6,4,1,3,3,1,4,3,1,1],[1,1,6,4,3,1,3,6,6,4,1,3,
3,1,4,3,1,1],[1,3,4,4,3,1,3,6,6,4,1,3,3,1,4,3,1,1],[1,3,4,4,3,1,3,6,6,4,1,3,3,
1,4,3,1,1],[1,1,6,4,1,3,3,6,6,4,1,3,3,1,4,3,1,1],[1,3,4,4,1,6,12,4,1,6,1,4,3,
1,1],[1,1,6,4,3,4,4,4,1,6,1,4,1,1,1],[1,1,6,4,3,4,4,4,1,3,3,1,4,1,1,1],[1,7,4,
7,4,4,1,6,1,4,1,1,1],[1,1,4,9,4,1,3,3,4,3,1,1],[1,1,4,9,4,3,1,3,4,3,1,1],[1,1,
12,4,6,3,8,4,3,1,3,4,3,1,1],[1,1,12,4,6,3,8,4,3,1,3,4,3,1,1],[1,1,2,4,1,6,4,8,
3,4,4,1,1,1],[1,3,4,1,6,12,3,4,4,1,1,1],[1,1,2,4,1,6,4,8,3,4,4,1,1,1],[1,1,2,
4,1,6,4,8,3,4,4,1,1,1],[1,1,2,4,1,6,4,8,3,4,4,1,1,1],[1,3,4,1,6,12,3,4,4,1,1,
1],[1,1,6,4,3,4,4,3,3,1,4,1,1,1],[1,3,5,9,6,1,1,1,9,9,3,6,6,1,3,1,3,2,3,2,3,3,
1,3,3,3,3,1,1,3,3,2,2,1,1,1,3,1,1,1,1,1,1,1,1],[1,7,7,8,1,1],[1,7,7,8,1,1],[1,
7,7,8,1,1],[1,7,7,8,1,1],[1,15,10,5,6,10,6,5,1],[1,15,10,5,6,10,6,5,1],[1,15,
10,5,6,10,6,5,1],[1,5,1,15,1,5,1,5,1,3,1,1],[1,7,14,42,7,7,21,84,84,14,14,42,
42,168,168,1,2,42,48,56,84,112,168,42,42,42,42,56,56,168,168,168,21,21,56,14,
14,42,42,168,168,7,21,84,84,7,7,14,42,1],[1,3,18,18,24,1,9,9,36,36,36,72,6,6,
12,18,18,36,8,24,36,72,72,144,3,9,18,18,24,36,36,36,36,72,72,72,72,144,9,18,
18,72,6,24,24,24,48,72,72,144,72,72,72,3,3,4,12,24,36,36,72,72,18,18,36,72,72,
9,2,18,72,72,9,12,36,6,1],[1,15,12,35,4,12,18,18,15,3,12,36,9,12,1,1,3,3,9,9,
9,3,3,9,1],[1,1,14,12,7,6,4,28,12,12,6,12,8,8,7,3,4,24,12,6,3,4,8,1,1,2,1,3,6,
6,3,3,6,3,3,3,3,6,1],[1,1,2,24,1,6,6,4,12,16,12,12,6,12,8,8,3,4,3,4,24,12,6,3,
4,8,1,1,2,1,3,6,6,3,3,6,3,3,3,3,6,1],[1,1,2,12,12,1,6,6,6,4,12,12,6,16,6,6,6,
8,3,4,3,4,4,4,12,12,12,3,3,3,4,4,4,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
1],[1,3,12,12,1,6,12,16,4,12,18,12,6,4,8,3,3,12,12,24,3,6,4,8,1,1,2,1,3,3,3,6,
6,3,6,3,3,3,6,1],[1,15,6,18,35,3,9,36,36,2,2,6,6,24,24,12,15,6,6,6,6,8,8,24,
24,24,9,9,24,12,36,18,1,1,3,12,12,3,3,6,6,18,18,3,1,2,6,3,1],[1,7,6,26,7,3,13,
44,36,2,2,6,6,16,24,24,4,8,1,4,6,6,6,6,8,8,8,24,24,24,9,11,24,8,4,4,16,8,8,4,
4,8,2,1,1,3,12,12,3,2,1,4,4,2,2,2,8,8,2,4,4,4,4,2,1,1,2,2,4,2,1,1],[1,3,10,18,
8,1,5,9,8,20,4,4,8,2,2,4,6,6,12,8,8,12,16,16,32,4,8,1,3,6,2,6,2,8,8,4,4,4,4,8,
8,8,8,16,5,2,2,2,8,2,16,16,16,8,4,4,12,12,8,4,2,2,2,8,1,1,1,2,2,4,8,8,1,4,1,2,
1,4,3,2,2,2,2,2,4,2,8,8,6,2,1,2,1,2,2,2,2,1,2,1],[1,7,6,18,8,7,3,9,36,36,4,4,
8,2,2,6,6,24,24,12,4,4,4,1,6,6,6,6,8,8,24,24,24,9,9,24,2,2,8,2,8,4,4,4,4,8,8,
8,2,2,8,2,2,2,1,3,12,12,3,1,1,2,1,1,2,2,2,2,2,2,4,4,2,2,2,2,8,8,2,1,2,1,2,2,2,
2,1,2,1],[1,3,6,14,16,1,3,7,8,12,12,12,24,8,8,4,12,24,12,12,24,8,4,2,2,8,3,2,
6,6,24,4,12,4,4,8,12,12,24,12,12,12,8,4,4,4,4,24,2,2,2,4,8,1,3,1,3,12,12,1,2,
2,3,2,4,1,2,2,4,4,8,8,2,6,1,2,1,2,2,2,2,2,1,1],[1,7,10,14,8,7,5,7,12,28,4,4,8,
2,2,4,6,6,12,12,16,16,32,8,4,1,1,3,6,6,8,4,4,4,4,8,8,8,8,16,7,3,8,2,2,8,2,16,
16,16,8,8,4,4,8,4,4,8,2,2,2,4,8,1,1,2,2,4,8,8,1,1,4,1,2,3,2,4,1,2,4,2,2,2,4,2,
2,2,8,8,1,2,1,1,1,1,2,1,2,1,2,1],[1,3,10,10,16,1,5,5,20,8,8,8,2,2,4,6,6,12,16,
16,16,32,16,4,4,4,1,3,6,6,8,4,4,4,4,8,8,8,8,16,5,4,2,8,4,4,2,4,16,16,16,4,4,4,
4,4,8,8,8,4,2,2,4,4,2,4,1,1,2,2,4,8,8,1,1,4,1,1,1,2,2,2,2,2,2,2,2,4,2,2,2,2,4,
4,4,4,4,1,1,1,1,2,2,2,2,1,1,1,1],[1,1,8,10,20,1,2,6,12,12,20,1,2,2,4,5,10,2,6,
10,22,14,36,16,4,8,1,1,2,2,4,4,6,2,8,6,12,10,20,3,2,6,4,4,4,2,2,2,8,10,10,16,
4,8,6,4,4,8,8,8,8,8,2,4,4,4,4,1,2,1,2,6,4,1,2,2,4,1,4,2,1,2,2,2,4,4,2,2,4,4,4,
4,4,4,4,4,1,2,1,2,2,4,1,2,1],[1,1,12,6,20,3,6,16,16,12,3,6,6,3,6,2,6,10,6,30,
36,16,4,8,1,3,2,6,6,12,12,18,6,12,5,6,4,4,4,2,6,6,6,6,24,12,6,4,4,8,8,8,8,8,2,
4,4,4,4,1,6,3,6,3,6,1,6,1,2,2,2,4,4,2,2,4,4,4,4,4,4,4,4,1,2,1,2,2,4,1,2,1],[1,
3,18,10,8,1,9,5,20,4,4,8,2,2,28,6,6,12,12,16,16,32,4,8,8,7,3,6,6,8,4,4,4,4,8,
8,8,8,16,5,2,2,8,2,16,16,16,4,12,16,8,8,6,4,8,1,1,1,2,2,4,8,8,1,4,1,2,2,4,2,4,
6,4,8,8,6,4,1,2,1,2,2,4,1,2,1],[1,3,10,18,8,1,5,9,20,4,4,8,2,2,4,6,6,20,16,12,
16,16,32,4,8,8,1,5,4,6,6,8,4,4,4,4,8,8,8,8,16,5,2,2,8,2,16,16,16,4,8,4,16,8,8,
2,4,4,8,1,1,1,2,2,4,8,8,1,4,1,2,2,4,2,4,2,4,4,8,8,2,4,4,1,2,1,2,2,4,1,2,1],[1,
3,10,18,8,1,5,9,20,4,4,8,2,2,4,6,6,20,16,12,16,16,32,4,8,8,1,5,4,6,6,8,4,4,4,
4,8,8,8,8,16,5,2,2,8,2,16,16,16,4,8,4,16,8,8,2,4,4,8,1,1,1,2,2,4,8,8,1,4,1,2,
2,4,2,4,2,4,4,8,8,2,4,4,1,2,1,2,2,4,1,2,1],[1,1,20,6,12,7,6,12,12,12,3,30,6,3,
6,2,6,6,6,30,36,12,8,7,3,2,6,6,12,12,18,6,12,3,6,2,6,6,6,6,24,12,6,24,12,12,6,
12,1,1,6,3,6,3,6,6,3,6,6,6,12,12,6,3,1,2,6,3,1],[1,1,12,14,12,3,4,6,12,12,12,
3,6,6,7,6,12,8,2,6,6,6,30,36,4,8,2,2,4,1,3,2,2,4,6,6,12,12,18,6,12,3,6,2,6,6,
6,6,24,12,6,4,4,12,4,4,4,4,12,2,4,2,4,2,4,1,1,6,3,6,3,6,6,1,2,2,1,3,2,4,2,4,2,
2,4,2,6,4,4,2,4,1,2,1,2,2,2,2,1,2,1],[1,1,8,18,12,1,2,4,6,8,8,20,1,2,2,4,9,10,
12,8,2,6,6,22,14,36,8,4,2,2,4,1,1,2,2,2,4,4,4,6,2,8,6,12,10,20,1,2,6,2,2,2,8,
10,10,16,4,8,6,4,4,4,12,4,4,12,4,2,4,4,2,2,4,1,1,2,1,2,6,4,1,2,2,4,4,2,1,2,3,
1,2,4,2,2,4,2,2,4,6,2,4,4,2,4,1,2,1,2,2,2,2,1,2,1],[1,1,12,14,12,1,2,10,8,8,
20,7,2,2,8,7,10,12,2,6,6,22,14,36,4,8,1,3,4,1,3,2,2,4,4,4,6,2,8,6,12,10,20,1,
2,6,2,2,2,8,10,10,16,4,8,6,4,8,4,4,4,4,4,8,4,4,2,4,2,4,2,4,1,1,2,1,2,6,4,1,2,
2,4,4,2,1,2,1,3,2,4,2,2,4,2,4,2,4,2,2,4,4,2,4,1,2,1,1,2,1,1,1,2,1,2,1],[1,1,
16,10,12,3,10,12,12,12,9,6,10,5,6,12,2,6,6,6,30,36,8,4,1,3,4,1,5,2,4,6,6,12,
12,18,6,12,3,6,2,6,6,6,6,24,12,6,4,4,8,4,4,4,8,4,4,4,2,4,4,2,2,4,1,1,6,3,6,3,
6,6,1,2,2,3,1,2,4,2,4,2,4,2,2,2,4,4,4,2,4,1,2,1,1,1,1,1,2,2,1,2,1],[1,1,8,18,
12,1,6,6,8,8,20,1,2,2,4,5,18,16,2,6,6,22,14,36,4,8,8,3,4,1,2,2,4,4,6,2,8,6,12,
10,20,1,2,6,2,2,2,8,10,10,16,4,8,6,8,16,4,4,8,8,2,4,4,8,1,1,2,1,2,6,4,1,2,2,4,
4,2,1,2,2,2,4,4,2,4,4,4,8,8,2,4,1,2,1,2,2,4,1,2,1],[1,3,10,26,1,3,7,20,24,2,4,
4,8,10,12,40,48,4,4,4,4,8,4,12,16,20,1,3,2,6,4,4,8,4,8,16,20,20,3,2,4,4,4,4,4,
8,8,8,8,2,2,8,2,2,2,1,2,1,8,12,1,1,4,2,1,2,2,2,2,2,1,1,2,2,2,2,2,8,8,2,2,4,4,
2,1,1,1,1,1,1,2,2,2,1,1],[1,3,6,30,1,1,9,28,16,2,4,8,10,16,40,48,4,8,4,8,4,12,
16,20,4,2,6,4,4,8,4,8,16,20,20,1,4,4,8,8,16,8,4,4,4,8,2,4,1,2,1,8,12,1,1,4,2,
1,2,4,4,2,2,4,4,8,8,4,4,2,2,2,1,1,2,2,4,2,1,1],[1,3,6,22,8,1,1,5,20,16,4,4,8,
2,4,8,10,40,48,12,4,4,4,4,8,4,12,16,20,2,6,4,4,4,8,16,20,20,1,2,4,2,2,8,2,4,4,
4,4,8,8,16,2,2,2,2,8,2,1,2,1,8,12,1,4,2,1,1,2,1,1,2,2,2,2,2,2,2,2,2,8,8,4,4,4,
1,2,1,2,2,2,2,1,2,1],[1,7,6,26,7,3,13,44,36,2,2,6,6,16,24,24,4,8,1,4,6,6,6,6,
8,8,8,24,24,24,9,11,24,8,4,4,8,8,16,4,4,8,2,1,1,3,12,12,3,1,2,2,2,4,4,4,4,8,8,
2,2,4,4,2,1,1,2,2,4,1,2,1],[1,7,10,22,7,5,11,36,44,2,2,4,6,6,12,24,24,4,4,4,1,
1,3,6,6,6,6,8,8,8,24,24,24,11,9,24,4,4,4,4,4,4,4,4,8,8,2,2,2,2,8,2,1,1,3,12,
12,3,1,2,1,1,2,2,2,2,2,2,2,2,2,8,8,2,2,2,2,4,2,1,1,1,1,1,1,2,2,1,2,1],[1,3,10,
22,4,1,3,5,12,24,2,2,8,2,18,12,4,48,24,2,8,8,2,2,2,6,1,9,16,6,8,24,1,12,6,6,
12,24,12,12,2,2,4,3,4,1,4,2,2,2,4,2,4,2,4,6,6,4,2,4,4,1,3,1,1,2,2,4,4,3,3,6,
12,1,6,1,1,1,1,1,1,1,2,1,1,1,1,2,1,3,1,2,2,4,4,4,1,1,1,1,1,2,1,4,4,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1],[1,3,6,26,4,1,1,7,20,16,2,2,2,4,8,10,4,40,48,2,8,8,2,2,
6,2,4,8,4,12,16,20,1,2,6,4,4,4,8,16,20,20,2,2,4,1,2,4,1,4,2,2,2,2,2,4,8,2,2,
12,2,4,4,1,1,3,1,2,2,4,4,1,2,1,8,12,1,4,2,1,1,1,1,1,1,1,1,2,1,1,1,2,1,1,3,4,4,
4,4,1,1,1,2,1,1,1,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,3,14,18,4,1,5,3,12,
24,2,2,8,2,4,18,12,48,24,2,8,8,2,2,6,2,1,9,16,6,8,24,1,12,6,6,12,24,12,12,2,2,
4,3,4,1,4,2,2,2,2,4,2,4,4,6,6,4,2,4,4,1,1,3,1,2,2,4,4,3,3,6,12,1,6,1,1,1,1,1,
1,2,1,1,1,1,2,1,1,1,3,2,2,4,4,4,1,1,1,1,2,1,1,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1],[1,3,10,22,4,1,3,5,20,16,2,2,2,4,4,8,10,40,48,2,8,8,2,2,2,6,4,8,4,12,16,
20,1,2,6,4,4,4,8,16,20,20,2,2,4,1,2,4,1,4,2,2,2,2,2,8,4,2,2,12,2,4,4,1,3,1,1,
2,2,4,4,1,2,1,8,12,1,4,2,1,1,1,1,1,1,1,2,1,1,1,1,1,2,3,1,4,4,4,4,1,1,1,1,2,1,
1,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,7,6,10,16,7,3,5,12,20,12,12,24,4,12,
24,12,12,24,4,8,1,5,3,8,6,6,24,4,12,4,4,8,12,12,24,12,12,12,4,4,8,16,4,4,8,4,
2,2,2,8,1,3,1,3,12,12,1,2,1,2,2,4,3,2,2,4,4,4,2,2,8,8,1,2,1,1,2,1,1,1,2,1,2,
1],[1,3,6,6,24,1,3,3,12,16,16,24,4,12,28,12,12,24,16,4,8,3,8,6,24,4,4,4,4,12,
4,4,8,12,12,24,12,12,12,4,8,4,8,8,8,8,2,4,4,4,4,1,3,1,3,12,12,1,2,2,4,2,4,2,2,
4,4,4,4,4,4,4,4,1,2,1,2,4,2,1,2,1],[1,7,6,18,7,3,9,36,36,2,2,6,6,24,24,16,1,6,
6,6,6,8,8,24,24,24,9,9,24,24,1,3,12,12,3,4,12,12,1,6,1],[1,3,10,10,8,1,5,5,20,
4,4,8,2,2,4,6,6,12,12,16,16,32,16,1,3,6,6,8,4,4,4,4,8,8,8,8,16,5,2,2,8,2,16,
16,16,8,16,1,1,2,2,4,8,8,1,4,4,4,4,8,8,1,2,4,1],[1,3,10,10,8,1,5,5,20,4,4,8,2,
2,4,6,6,12,12,16,16,32,16,1,3,6,6,8,4,4,4,4,8,8,8,8,16,5,2,2,8,2,16,16,16,8,
16,1,1,2,2,4,8,8,1,4,4,4,4,8,8,1,2,4,1],[1,3,10,10,8,1,5,5,20,4,4,8,2,2,4,6,6,
12,12,16,16,32,8,8,1,3,6,6,8,4,4,4,4,8,8,8,8,16,5,2,2,8,2,16,16,16,4,4,8,8,1,
1,2,2,4,8,8,1,4,2,2,2,2,2,2,8,8,1,1,1,4,1],[1,7,6,18,7,3,9,36,36,2,2,6,6,24,
24,16,1,6,6,6,6,8,8,24,24,24,9,9,24,8,16,1,3,12,12,3,4,4,4,8,8,1,2,4,1],[1,1,
12,6,12,3,6,12,12,12,3,6,6,3,6,2,6,6,6,30,36,4,12,1,3,2,6,6,12,12,18,6,12,3,6,
2,6,6,6,6,24,12,6,6,6,12,1,6,3,6,3,6,6,1,3,6,6,6,6,1,3,3,1],[1,1,8,10,12,1,2,
6,8,8,20,1,2,2,4,5,10,2,6,6,22,14,36,4,4,8,1,1,2,2,4,4,6,2,8,6,12,10,20,1,2,6,
2,2,2,8,10,10,16,4,8,6,2,4,2,4,4,8,1,2,1,2,6,4,1,2,2,4,4,2,1,1,2,2,4,2,4,2,2,
4,4,1,1,2,1,2,1],[1,3,6,22,1,1,5,20,16,2,4,8,10,40,48,4,4,8,4,8,4,12,16,20,2,
6,4,4,4,8,16,20,20,1,2,4,4,4,8,2,4,2,1,2,1,8,12,1,4,2,1,1,2,4,4,2,2,2,2,4,4,1,
1,2,1,2,1],[1,7,6,18,7,3,9,36,36,2,2,6,6,24,24,8,8,1,6,6,6,6,8,8,24,24,24,9,9,
24,4,8,4,8,1,3,12,12,3,2,2,2,2,8,8,2,2,1,1,4,1,1],[1,3,10,10,8,1,5,5,20,4,4,8,
2,2,4,6,6,12,12,16,16,32,16,1,3,6,6,8,4,4,4,4,8,8,8,8,16,5,2,2,8,2,16,16,16,8,
8,8,1,1,2,2,4,8,8,1,4,4,4,4,4,4,4,4,1,2,2,2,1],[1,3,6,6,16,1,3,3,12,12,12,24,
4,12,24,12,12,24,4,4,8,3,6,6,24,4,12,4,4,8,12,12,24,12,12,12,2,2,4,4,4,4,4,3,
1,3,12,12,1,1,2,2,2,4,4,4,4,2,2,1,1,2,2,1,1],[1,1,12,6,12,3,6,12,12,12,3,6,6,
3,6,2,6,6,6,30,36,4,4,8,1,3,2,6,6,12,12,18,6,12,3,6,2,6,6,6,6,24,12,6,2,4,2,4,
4,4,4,1,6,3,6,3,6,6,1,1,2,2,2,2,2,4,4,4,4,1,1,1,2,2,1],[1,1,8,10,12,1,2,6,8,8,
20,1,2,2,4,5,10,2,6,6,22,14,36,4,4,8,1,1,2,2,4,4,6,2,8,6,12,10,20,1,2,6,2,2,2,
8,10,10,16,4,8,6,2,4,2,4,4,4,4,1,2,1,2,6,4,1,2,2,4,4,2,1,1,2,2,2,2,2,4,4,4,4,
1,1,1,2,2,1],[1,3,6,30,1,3,15,24,12,4,12,32,24,24,12,1,3,8,6,6,16,8,24,3,6,24,
24,24,6,6,6,24,8,1,2,3,3,6,2,6,6,12,24,24,6,12,24,24,3,6,4,12,6,1],[1,15,6,18,
35,3,9,36,36,4,12,16,12,15,1,3,4,8,8,9,9,24,12,36,12,12,6,6,12,18,8,1,1,1,3,3,
3,3,2,18,18,6,6,6,12,12,12,24,24,3,3,3,4,12,6,1],[1,7,2,6,24,7,1,3,12,12,12,
12,24,36,32,12,1,3,3,8,6,6,24,8,8,6,8,24,24,24,6,6,6,24,8,1,2,3,3,6,2,6,6,12,
12,24,6,24,24,24,3,6,4,12,6,1],[1,7,14,18,7,7,9,12,36,28,36,16,12,1,8,8,7,9,4,
24,9,3,8,12,12,36,12,18,6,12,6,8,1,1,3,1,3,3,3,2,18,12,6,6,6,18,12,12,24,24,3,
3,3,4,12,6,1],[1,7,6,26,7,3,13,28,20,4,28,48,12,1,16,1,7,12,16,8,5,7,8,4,20,
20,28,6,10,20,6,8,2,1,2,1,2,4,2,1,2,4,10,16,4,2,6,6,2,12,16,12,8,16,8,16,2,4,
2,1,4,8,4,2,4,1],[1,1,8,18,12,1,6,6,6,6,7,6,3,12,16,12,6,24,24,16,12,1,3,4,8,
3,4,3,4,6,6,12,3,4,4,4,12,12,12,24,12,12,6,12,6,6,12,8,1,1,3,1,3,3,3,2,6,6,6,
12,12,12,6,6,12,12,24,24,3,3,3,4,12,6,1],[1,1,20,6,12,7,6,6,6,7,28,6,3,12,6,
24,24,16,12,1,8,3,4,7,3,4,6,6,12,3,4,4,4,12,12,12,24,12,12,6,12,6,6,12,8,1,1,
3,1,3,3,3,2,6,6,6,12,12,12,6,6,12,12,24,24,3,3,3,4,12,6,1],[1,7,2,6,7,1,3,12,
12,12,12,1,3,3,8,6,6,24,8,8,1,6,2,2,6,6,3,3,6,3,6,6,1],[1,1,8,6,1,6,7,6,3,12,
6,6,6,6,1,3,4,3,4,3,3,3,3,12,12,4,4,4,4,1,3,3,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,
3,1],[1,3,6,6,1,3,3,12,4,12,12,12,1,3,8,3,6,6,24,8,8,1,6,2,2,6,6,3,6,3,3,6,6,
1],[1,3,12,12,1,6,12,4,12,18,12,6,3,3,12,12,12,24,12,3,6,1,3,1,6,3,3,6,3,3,6,
3,1,2,3,6,1],[1,7,8,12,7,4,8,4,12,18,8,10,1,2,3,12,8,8,12,4,16,5,8,8,1,1,2,1,
2,4,2,2,1,4,3,2,2,3,1,4,1,2,1,2,1,2,2,2,2,1],[1,1,6,12,8,3,6,4,4,4,4,12,12,4,
4,2,4,8,8,1,3,4,2,8,8,8,8,4,4,8,6,4,2,8,1,1,1,2,1,2,2,2,2,2,1,1,2,2,2,2,1,1,2,
2,2,2,1,2,1,2,1,2,2,2,2,1],[1,1,2,16,8,1,2,6,4,4,4,4,12,12,4,4,2,8,4,8,1,3,4,
2,8,8,8,8,4,4,8,2,4,2,4,8,1,1,1,2,1,2,2,2,2,2,1,1,2,2,2,2,1,1,2,2,2,2,1,2,1,2,
1,2,2,2,2,1],[1,1,6,16,4,3,2,6,2,2,4,4,4,12,12,2,2,4,6,6,8,1,1,3,4,1,4,4,4,4,
4,8,8,4,4,4,1,3,3,2,4,4,4,1,1,1,1,2,1,1,1,1,1,1,1,2,2,1,1,1,1,1,1,1,2,2,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,7,6,10,7,3,5,12,20,4,12,12,8,1,1,
3,8,5,3,8,4,4,4,4,2,2,4,8,14,16,1,1,2,2,1,4,4,4,2,2,4,2,2,2,2,2,2,4,1,1,2,1,2,
4,4,1],[1,3,6,14,1,3,7,8,12,4,12,8,8,8,12,1,3,2,2,8,8,3,2,8,8,8,6,2,2,8,4,16,
1,1,1,2,2,4,2,2,4,2,4,4,2,2,2,4,4,1,2,2,2,4,4,1],[1,7,2,6,8,7,1,3,12,12,4,4,8,
12,4,8,8,1,3,3,8,2,2,8,2,8,8,4,4,16,8,8,2,2,2,1,1,1,2,2,4,2,2,4,2,2,4,4,2,4,4,
2,1,2,2,2,4,4,1],[1,7,6,10,7,3,5,12,20,4,12,4,8,8,1,1,3,8,5,3,8,4,4,4,4,2,2,4,
4,16,2,8,8,1,1,2,2,1,4,4,4,2,2,4,2,2,2,2,2,2,4,1,2,1,1,2,4,4,1],[1,7,6,10,7,3,
5,12,20,4,12,4,16,1,1,3,8,5,3,8,4,4,4,4,2,2,8,16,2,16,1,1,4,1,4,4,4,4,4,4,2,2,
2,2,4,1,2,2,2,8,1],[1,1,8,10,4,1,2,6,2,2,7,6,3,4,12,2,8,8,4,4,4,8,1,3,4,1,3,4,
2,2,4,1,4,4,4,4,4,2,4,4,2,4,2,2,2,4,8,4,8,1,1,1,1,1,1,2,1,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,4,2,1,1,1,2,2,2,2,2,2,1],[1,1,12,6,4,3,6,2,2,7,4,6,3,12,2,8,8,4,4,8,4,
1,3,4,1,3,4,2,2,4,1,4,4,4,4,4,6,2,4,4,2,2,2,4,8,4,8,1,1,1,1,1,1,2,1,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,4,2,1,1,1,2,2,2,2,2,2,1],[1,3,6,22,1,3,11,8,12,4,20,16,8,8,
4,4,8,8,1,5,4,2,2,8,8,3,2,4,8,4,16,8,8,2,4,4,2,2,2,8,1,1,1,1,1,2,4,2,4,2,4,2,
4,4,2,2,4,2,4,4,1,1,2,2,1,2,2,4,1],[1,3,14,14,1,7,7,8,12,28,12,8,8,4,4,8,8,7,
3,2,2,8,8,3,2,4,12,16,8,8,6,4,2,2,2,8,1,1,1,1,1,2,4,2,4,2,4,6,4,2,2,4,6,4,1,1,
2,2,1,2,2,4,1],[1,3,6,22,1,3,11,8,12,4,20,16,8,8,4,4,8,8,1,5,4,2,2,8,8,3,2,4,
8,4,16,8,8,2,4,4,2,2,2,8,1,1,1,1,1,2,4,2,4,2,4,2,4,4,2,2,4,2,4,4,1,1,2,2,1,2,
2,4,1],[1,1,4,22,4,1,6,4,2,2,2,1,2,5,12,16,12,8,2,8,8,4,8,4,2,8,2,4,3,4,1,2,4,
2,2,4,1,4,8,8,4,4,16,8,2,4,4,2,2,2,4,4,1,1,1,1,1,1,1,2,2,4,2,2,2,2,2,4,4,4,4,
4,2,2,2,1,1,2,2,1,2,2,2,2,1],[1,1,16,10,4,7,4,2,2,2,1,28,2,5,12,8,2,8,8,4,4,8,
8,2,2,4,7,1,2,4,2,2,4,1,4,8,8,4,4,16,8,4,2,4,2,2,2,4,4,1,1,1,1,1,1,1,2,2,2,2,
4,2,2,4,2,4,4,4,4,2,2,2,1,1,2,2,1,2,2,2,2,1],[1,1,8,10,12,3,4,2,6,6,1,4,2,5,
12,8,6,8,8,16,4,8,4,2,2,4,1,1,2,4,2,2,4,3,4,4,4,4,4,4,8,8,8,8,8,6,2,4,4,2,2,4,
1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,2,2,2,2,2,4,4,1,1,2,2,1,2,2,2,2,1],[1,1,4,
14,12,1,2,4,2,6,6,1,2,5,4,12,8,6,8,8,16,4,4,8,2,2,4,1,1,2,4,2,2,4,3,4,4,4,4,4,
4,8,8,8,8,8,2,4,4,2,4,2,2,4,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,2,2,2,2,2,4,4,
1,1,2,2,1,2,2,2,2,1],[1,1,12,10,8,3,2,6,4,4,7,4,6,3,4,12,4,8,8,16,2,2,6,6,1,3,
4,1,1,3,4,2,2,2,2,4,4,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,3,3,1,2,2,2,2,4,4,1,1,1,
1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,1,2,2,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1],[1,15,2,6,8,35,1,3,12,12,4,4,8,12,4,12,15,3,3,8,2,2,8,2,
4,12,8,24,6,2,2,8,6,1,1,1,1,1,2,4,6,2,4,6,6,2,4,4,6,1,1,2,2,1,2,2,4,1],[1,7,2,
14,8,7,1,7,20,12,4,4,8,16,12,12,4,1,4,8,3,5,8,2,2,8,2,8,8,4,4,8,16,4,2,2,2,14,
1,1,1,2,1,1,4,2,2,4,4,2,2,4,4,2,4,4,2,4,1,1,2,2,1,2,2,4,1],[1,3,2,18,8,1,1,9,
16,4,4,4,8,16,8,8,12,8,8,4,2,2,8,8,1,4,2,2,8,2,8,8,4,4,24,2,2,4,4,8,4,1,1,1,2,
1,1,2,2,2,4,2,2,2,2,4,4,4,4,2,2,6,1,1,2,2,1,2,2,2,2,1],[1,3,2,10,16,1,1,5,8,4,
8,8,8,8,8,16,16,4,4,4,4,2,2,8,1,2,4,2,8,4,4,2,4,4,8,8,8,4,16,2,2,2,2,4,4,2,2,
4,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,2,2,4,4,4,4,1,1,2,2,1,2,2,2,2,1],[1,7,6,
10,8,7,3,5,12,20,4,4,8,4,12,12,4,4,4,4,1,1,3,8,5,3,8,2,2,8,2,4,4,8,4,4,8,8,8,
2,2,2,2,8,2,2,2,2,1,1,1,1,1,2,2,2,1,1,2,2,2,2,2,2,2,4,4,2,2,2,4,2,2,2,1,1,1,1,
2,1,1,1,2,2,2,1],[1,7,2,14,8,7,1,7,20,12,4,4,8,16,12,4,4,8,1,4,8,3,5,8,2,2,8,
2,8,8,4,4,16,8,4,4,8,2,2,2,2,1,1,1,1,1,2,4,2,2,4,4,2,2,4,4,2,4,4,4,2,1,1,2,2,
1,2,2,4,1],[1,7,6,18,7,3,9,20,20,4,12,8,8,8,8,1,1,3,2,2,8,8,5,5,8,4,12,4,4,8,
8,8,2,2,4,2,2,4,8,1,1,1,1,1,2,2,2,2,1,4,2,2,1,2,2,2,2,4,2,2,2,4,2,4,1,1,1,1,2,
1,1,2,1,2,2,1],[1,7,2,6,8,7,1,3,12,12,4,4,8,12,20,1,3,3,8,2,2,8,2,8,8,10,2,2,
16,1,1,1,4,4,4,2,4,4,2,1,2,4,1],[1,3,6,14,1,3,7,8,12,4,12,8,8,4,16,1,3,2,2,8,
8,3,2,8,8,8,2,2,2,16,1,1,1,4,4,4,2,2,4,4,1,2,4,1],[1,3,6,14,1,3,7,8,12,4,12,8,
8,4,16,1,3,2,2,8,8,3,2,8,8,8,2,2,2,16,1,1,1,4,4,4,2,2,4,4,1,2,4,1],[1,3,6,14,
1,3,7,8,12,4,12,8,8,4,8,8,1,3,2,2,8,8,3,2,8,8,4,4,2,2,2,8,8,1,1,1,2,2,2,2,2,2,
2,2,4,4,1,1,1,4,1],[1,3,6,14,1,3,7,12,4,20,16,8,4,8,8,1,5,4,8,3,4,8,4,2,4,4,2,
2,8,8,1,1,1,2,2,2,1,2,2,1,2,4,2,4,1,1,1,2,2,1],[1,3,6,14,1,3,7,12,4,20,16,8,4,
8,8,1,5,4,8,3,4,8,4,2,4,4,2,2,8,8,1,1,1,2,2,2,1,2,2,1,2,4,2,4,1,1,1,2,2,1],[1,
3,6,14,1,3,7,12,4,20,16,8,4,8,8,1,5,4,8,3,4,8,4,2,4,4,2,2,8,8,1,1,1,2,2,2,1,2,
2,1,2,4,2,4,1,1,1,2,2,1],[1,3,14,6,1,7,3,12,28,12,8,4,8,8,7,3,8,3,4,12,6,4,2,
2,8,8,1,1,1,2,2,2,1,2,2,1,6,6,1,1,1,2,2,1],[1,7,6,10,7,3,5,12,20,4,12,4,8,8,1,
1,3,8,5,3,8,4,4,4,4,2,2,4,4,2,8,8,1,1,2,2,1,2,2,2,2,2,2,2,2,4,1,1,1,2,2,1],[1,
7,6,10,7,3,5,12,20,4,12,4,8,8,1,1,3,8,5,3,8,4,4,4,4,2,2,4,4,2,8,8,1,1,2,2,1,2,
2,2,2,2,2,2,2,4,1,1,1,2,2,1],[1,7,2,14,7,1,7,20,12,16,4,4,4,8,1,4,8,3,5,8,8,4,
4,4,2,2,4,8,8,2,1,1,1,2,2,1,1,2,2,2,2,2,4,4,1,1,1,2,2,1],[1,7,6,10,7,3,5,12,
20,4,12,12,8,1,1,3,8,5,3,8,4,4,4,4,2,2,4,8,14,1,1,2,1,2,2,2,2,2,2,2,2,2,4,1,1,
1,2,2,1],[1,7,2,14,7,1,7,20,12,16,12,4,4,1,4,8,3,5,8,8,4,4,4,2,2,8,14,1,1,2,1,
2,1,1,2,2,2,2,2,4,4,1,1,1,2,2,1],[1,3,2,10,8,1,1,5,8,4,4,4,8,8,8,12,4,16,2,2,
8,1,2,2,2,8,2,16,2,2,8,16,2,1,1,1,4,4,4,4,4,4,1,2,4,1],[1,3,6,14,1,3,7,8,12,4,
12,8,8,4,16,1,3,2,2,8,8,3,2,8,8,8,16,2,2,2,1,1,1,4,4,4,2,2,4,4,1,2,2,2,1],[1,
3,2,18,1,1,9,16,4,16,8,8,4,4,4,8,4,2,2,8,8,1,4,8,4,4,2,2,4,8,8,2,4,1,1,1,2,2,
1,1,2,2,2,4,4,2,2,1,1,1,2,2,1],[1,1,8,10,4,1,2,6,2,2,7,6,3,4,12,2,8,8,4,8,8,1,
3,4,1,3,4,2,2,4,1,4,4,4,4,4,2,4,2,2,8,4,4,4,1,1,1,2,2,2,2,2,2,2,2,2,4,2,1,1,1,
2,2,1],[1,1,4,14,4,1,2,4,2,2,2,1,2,5,4,12,8,2,8,8,4,8,8,2,2,4,1,1,2,4,2,2,4,1,
4,8,8,2,4,2,2,8,4,4,4,1,1,1,2,2,2,2,2,2,2,4,4,2,1,1,1,4,1],[1,1,16,2,4,7,2,2,
2,1,28,2,1,2,8,8,8,4,8,8,7,1,2,2,4,1,4,8,4,4,2,4,2,2,4,4,4,4,4,1,1,1,2,2,2,2,
1,1,2,2,4,4,2,1,1,1,2,2,1],[1,1,4,14,4,1,6,2,2,2,1,2,1,12,16,2,8,8,4,8,8,8,3,
4,1,2,2,4,1,4,8,4,4,2,4,2,2,4,4,4,4,4,1,1,1,2,2,2,2,1,1,2,2,4,4,2,1,1,1,2,2,
1],[1,1,8,10,4,3,4,2,2,2,1,4,2,5,12,8,2,8,8,8,4,8,2,2,4,1,1,2,4,2,2,4,1,4,8,8,
2,4,2,2,8,4,4,4,1,1,1,2,2,2,2,2,2,2,4,4,2,1,1,1,4,1],[1,1,12,6,4,3,6,2,2,7,4,
6,3,12,2,8,8,12,8,1,3,4,1,3,4,2,2,4,1,4,4,4,4,4,6,2,2,8,4,4,4,1,1,1,2,2,2,2,2,
2,2,2,2,4,2,1,1,1,2,2,1],[1,1,8,2,12,3,2,6,6,1,4,2,1,6,8,8,16,16,4,1,1,2,2,4,
3,4,4,4,4,4,4,8,6,4,4,2,2,8,4,1,1,2,2,1,1,1,2,2,2,2,2,4,4,1,1,1,2,2,1],[1,1,4,
6,12,1,2,2,6,6,1,2,1,4,6,8,8,16,4,8,8,1,1,2,2,4,3,4,4,4,4,4,4,8,2,4,4,4,2,2,4,
8,1,1,2,2,1,1,1,2,2,2,2,2,4,4,1,1,1,2,2,1],[1,7,2,6,8,7,1,3,12,12,4,4,8,12,4,
16,1,3,3,8,2,2,8,2,8,8,8,16,2,2,2,1,1,1,4,4,4,2,4,4,2,1,2,4,1],[1,7,6,10,7,3,
5,12,20,4,12,4,8,8,1,1,3,8,5,3,8,4,4,4,4,2,2,4,8,4,8,2,1,1,2,1,2,2,2,2,2,2,2,
2,2,4,1,1,1,2,2,1],[1,7,2,14,7,1,7,20,12,16,4,8,4,4,1,4,8,3,5,8,8,4,4,4,2,2,8,
4,8,2,1,1,2,1,2,1,1,2,2,2,2,2,4,4,1,1,1,2,2,1],[1,7,2,6,8,7,1,3,12,12,4,4,8,
12,8,4,8,1,3,3,8,2,2,8,2,8,8,4,8,2,2,2,12,1,1,2,1,2,2,2,2,2,2,4,4,2,1,1,1,4,
1],[1,15,2,6,35,1,3,12,12,4,4,4,8,15,3,3,8,4,12,2,2,4,8,8,6,1,1,1,2,2,1,1,2,2,
2,6,6,1,1,1,2,2,1],[1,3,2,10,8,1,1,5,8,4,4,4,8,8,8,12,4,16,2,2,8,1,2,2,2,8,2,
16,2,2,2,8,8,8,1,1,1,4,4,4,4,4,4,1,2,4,1],[1,7,2,6,8,7,1,3,12,12,4,4,8,12,4,
16,1,3,3,8,2,2,8,2,8,8,2,2,2,8,8,8,1,1,1,4,4,4,2,4,4,2,1,2,2,2,1],[1,3,2,2,16,
1,1,1,4,8,8,8,16,16,4,8,8,1,4,2,8,4,4,2,4,4,8,4,2,2,2,4,4,4,4,8,1,1,1,2,2,1,2,
2,1,2,2,2,4,4,1,1,1,2,2,1],[1,7,6,18,7,3,9,36,36,2,2,6,6,24,24,8,8,1,6,6,6,6,
8,8,24,24,24,9,9,24,4,4,16,4,4,4,4,16,1,3,12,12,3,2,2,4,8,8,4,2,2,4,2,2,4,1,2,
4,4,2,2,1],[1,3,10,10,8,1,5,5,20,4,4,8,2,2,4,6,6,12,12,16,16,32,8,8,1,3,6,6,8,
4,4,4,4,8,8,8,8,16,5,2,2,8,2,16,16,16,4,4,16,4,4,4,4,16,1,1,2,2,4,8,8,1,4,2,2,
4,8,8,4,2,2,2,2,4,4,1,2,2,4,4,2,1],[1,3,10,18,1,3,3,12,24,8,2,18,12,48,24,4,4,
4,4,1,9,16,6,8,24,12,6,6,12,24,12,12,3,4,2,2,2,2,8,2,2,2,2,2,2,2,2,8,16,3,3,6,
12,1,6,1,1,1,2,4,4,1,4,4,2,4,2,2,2,2,2,2,2,2,1,2,2,2,2,2,2,1,1,1],[1,3,10,10,
8,1,5,5,20,4,4,8,2,2,4,6,6,12,12,16,16,32,8,8,1,3,6,6,8,4,4,4,4,8,8,8,8,16,5,
2,2,8,2,16,16,16,4,4,4,4,4,4,32,1,1,2,2,4,8,8,1,4,2,2,8,8,8,2,2,4,2,4,2,1,2,4,
2,4,2,1],[1,7,10,22,8,7,5,11,36,44,4,4,8,2,2,4,6,6,12,24,24,12,16,16,32,4,4,1,
1,3,6,6,6,6,8,8,8,24,24,24,4,4,4,4,8,8,8,8,16,11,9,24,2,2,8,2,16,16,16,4,4,8,
4,4,8,8,8,16,2,2,2,2,2,2,16,1,1,3,12,12,2,2,4,8,8,3,1,4,1,1,4,4,4,2,2,4,4,2,2,
4,2,2,2,4,4,4,16,16,2,4,4,16,16,1,1,1,1,4,4,8,4,4,1,1,1,1],[1,3,14,22,8,1,5,5,
12,32,4,4,8,8,2,4,18,12,12,48,24,12,16,16,32,4,4,1,9,16,6,8,24,1,3,12,6,6,8,
12,24,12,12,4,4,4,4,8,8,8,8,16,5,4,2,2,8,2,16,16,16,4,4,4,4,8,8,4,4,4,4,8,8,2,
2,8,2,2,2,2,8,3,3,6,12,1,1,6,2,2,4,8,8,1,4,1,1,2,4,4,2,2,2,2,2,8,8,2,2,2,2,4,
4,4,4,4,4,8,8,8,8,2,2,2,2,8,8,1,1,1,1,2,2,4,4,8,2,2,1,1,1,1],[1,15,12,35,18,8,
18,15,3,2,6,36,9,6,2,1,9,9,6,6,3,1,3,1],[1,1,14,12,7,6,28,8,12,6,12,8,7,3,2,
24,6,12,6,3,6,2,1,6,3,6,3,6,6,3,1,3,1],[1,1,10,16,3,6,4,2,4,8,2,8,20,4,6,4,8,
4,4,1,2,3,2,4,4,4,8,8,6,12,2,4,3,6,2,1,2,4,1,2,2,4,3,6,6,1,2,1,1,2,1],[1,1,2,
24,1,6,6,12,24,4,8,6,4,8,8,3,4,2,1,2,8,16,6,8,4,2,4,1,2,6,2,1,2,4,1,2,2,4,1,2,
4,2,4,2,1,2,1,1,2,1],[1,1,2,24,1,2,10,4,4,8,12,20,6,4,8,8,1,2,3,2,4,8,8,8,6,8,
4,2,4,1,2,6,2,1,2,4,1,2,2,4,1,2,4,2,4,2,1,2,1,1,2,1],[1,1,6,20,1,2,6,4,2,8,2,
4,8,12,12,6,4,8,4,4,1,2,2,1,2,4,4,4,8,8,6,8,4,2,4,1,2,6,2,1,2,4,1,2,2,4,1,2,4,
2,4,2,1,2,1,1,2,1],[1,1,6,20,3,10,4,4,8,20,12,6,4,8,8,1,5,2,4,8,8,8,6,12,2,4,
3,6,2,1,2,4,1,2,2,4,3,6,6,1,2,1,1,2,1],[1,3,6,10,8,1,3,5,4,4,4,4,8,4,8,4,12,
10,4,4,1,2,1,1,1,2,2,8,2,2,2,10,4,8,8,8,3,2,3,2,2,3,2,1,1,1,1,2,2,2,2,2,1,1,1,
2,2,2,2,4,2,1,1,1,1,1,1,1,1],[1,3,2,14,8,1,1,7,4,4,4,4,8,4,12,12,10,4,4,1,3,1,
1,2,2,8,2,4,4,10,8,8,8,1,2,5,2,2,3,2,1,1,1,1,2,2,2,2,2,1,1,1,2,2,2,2,2,2,2,1,
1,1,1,1,1,1,1],[1,3,6,18,1,3,9,4,12,2,2,6,6,4,12,6,4,4,4,1,3,6,6,3,1,4,4,10,4,
4,4,4,4,4,1,2,5,2,2,2,1,2,1,1,1,2,2,2,1,2,2,2,2,1,1,1,2,2,2,2,2,1,1,1,1,1,1,1,
1],[1,3,10,14,1,5,7,4,12,2,2,4,6,6,8,4,6,4,4,4,1,2,1,6,6,3,1,2,2,10,4,4,4,4,4,
4,4,3,2,3,2,2,2,1,2,1,1,1,2,2,2,1,2,2,2,2,1,1,1,2,2,4,2,1,1,1,1,1,1,1,1],[1,3,
6,18,1,3,9,12,4,4,8,4,8,8,6,4,4,4,1,2,1,2,2,8,1,3,2,2,10,4,8,8,8,3,2,3,2,2,2,
1,2,1,1,1,2,2,2,1,2,2,2,2,1,1,1,2,2,4,2,1,1,1,1,1,1,1,1],[1,3,2,22,1,1,11,12,
4,4,12,8,8,6,4,4,4,1,3,2,2,8,1,3,4,4,10,8,8,8,1,2,5,2,2,2,1,2,1,1,1,2,2,2,1,2,
2,2,2,1,1,1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,7,10,10,7,5,5,20,2,2,4,6,6,4,10,4,4,
1,1,1,6,6,5,10,10,6,4,4,4,4,3,3,2,2,5,2,1,1,1,3,2,2,2,2,5,3,3,6,1,1,1,1,1,1,1,
1],[1,7,6,14,7,3,7,8,12,4,4,8,8,10,4,4,1,1,1,2,2,8,3,2,6,14,6,8,8,3,3,2,2,5,2,
1,1,1,2,1,2,2,2,2,2,3,3,3,6,1,1,1,1,1,1,1,1],[1,7,2,18,7,1,9,16,4,4,4,8,8,10,
4,4,1,1,1,2,2,8,1,4,2,18,2,4,8,8,1,2,3,2,2,5,2,1,1,1,2,1,2,2,2,2,4,1,1,1,2,2,
2,4,1,1,1,1,1,1,1,1],[1,7,6,14,7,3,7,8,12,2,2,6,6,4,4,10,4,4,1,1,1,6,6,3,2,6,
14,2,4,4,4,4,4,1,2,3,2,2,5,2,1,1,1,3,2,2,2,2,2,3,1,1,2,2,2,4,1,1,1,1,1,1,1,
1],[1,17,10,11,9,9,2,26,4,14,4,1,1,11,1,6,10,10,14,4,4,3,5,5,2,2,1,1,2,3,3,5,
5,3,2,6,1,1,1,1,1,1,1,1],[1,7,10,10,7,2,2,1,2,2,2,3,4,4,2,8,10,8,4,10,4,4,1,1,
1,2,2,2,4,1,2,4,4,2,4,6,4,4,2,4,4,4,4,3,3,2,3,2,2,2,1,1,2,1,2,1,2,1,1,2,2,2,2,
2,1,2,2,4,1,1,1,1,1,1,1,1],[1,13,4,10,11,3,9,2,4,2,18,8,4,10,4,4,1,1,2,9,1,6,
4,2,4,10,4,6,4,4,4,3,1,2,2,5,2,2,1,1,2,1,3,2,1,2,2,2,3,2,1,2,2,4,1,1,1,1,1,1,
1,1],[1,13,4,10,2,5,4,7,7,2,2,2,2,12,12,4,10,4,4,1,1,2,2,3,4,1,2,4,4,6,10,4,6,
4,4,4,3,3,2,5,2,2,1,1,2,1,2,1,2,3,2,2,3,3,2,6,1,1,1,1,1,1,1,1],[1,7,10,10,5,6,
7,2,5,4,2,6,20,4,10,4,4,1,1,5,6,1,6,10,6,4,10,4,4,4,3,5,3,2,2,2,1,1,2,3,1,2,5,
3,2,3,2,6,1,1,1,1,1,1,1,1],[1,11,6,10,7,2,2,7,2,2,3,4,2,10,16,4,4,6,4,4,1,1,3,
2,2,4,1,2,4,6,4,6,4,4,6,4,4,4,3,2,3,3,2,2,2,1,1,2,1,1,2,2,2,3,3,2,3,2,6,1,1,1,
1,1,1,1,1],[1,3,14,10,5,6,1,2,2,5,4,4,2,14,12,4,4,6,4,4,1,1,3,2,6,1,6,4,2,4,6,
4,4,2,4,4,4,4,3,2,1,2,3,2,2,2,1,1,2,1,2,1,2,1,1,2,2,2,2,2,1,2,2,4,1,1,1,1,1,1,
1,1],[1,9,8,10,2,5,4,1,7,4,2,4,2,2,4,20,4,14,4,1,1,2,4,1,4,1,2,4,4,2,4,10,8,2,
4,4,4,3,3,2,5,2,2,1,1,2,2,1,1,2,1,2,2,4,1,2,1,2,2,4,1,1,1,1,1,1,1,1],[1,3,12,
12,1,6,12,8,16,10,8,4,6,8,4,8,3,2,1,2,8,16,6,4,8,4,1,2,2,6,2,1,2,1,4,2,1,2,4,
4,2,2,4,2,1,2,1,1,2,1],[1,7,6,6,8,7,3,3,12,4,4,8,4,4,12,6,4,4,4,1,1,1,3,2,2,8,
2,6,6,6,8,8,8,3,3,2,2,2,3,2,1,1,1,2,2,1,2,3,3,3,2,2,2,6,1,1,1,1,1,1,1,1],[1,7,
2,10,8,7,1,5,8,4,4,4,8,4,4,12,6,4,4,4,1,1,1,1,2,2,2,8,2,2,10,2,4,8,8,8,1,2,3,
2,2,2,3,2,1,1,1,2,2,1,2,2,1,1,1,2,2,2,2,2,2,4,1,1,1,1,1,1,1,1],[1,7,4,4,12,7,
2,2,8,18,4,4,8,8,4,6,8,1,2,3,2,4,4,4,4,4,6,12,8,8,3,2,6,4,2,1,1,2,4,2,2,3,4,6,
6,1,2,1,2,1,1],[1,3,4,8,12,1,2,4,4,8,8,10,4,4,8,8,10,8,2,1,2,1,2,4,4,4,8,6,4,
4,4,8,8,3,2,6,4,2,1,4,2,1,2,1,2,4,2,4,2,4,2,1,2,1,1,2,1],[1,3,4,20,1,2,4,8,4,
12,22,8,4,6,8,1,2,3,2,12,8,6,4,8,8,8,1,2,2,6,4,2,1,1,2,2,4,1,2,4,2,2,4,4,2,1,
2,1,1,2,1],[1,7,20,7,4,12,30,8,10,8,1,5,2,12,6,20,8,8,5,6,4,2,1,3,2,4,5,6,4,6,
1,2,1,1,2,1],[1,1,6,12,3,6,4,8,12,4,6,12,1,3,2,6,12,6,6,3,6,2,1,6,3,6,3,6,6,1,
3,3,1],[1,1,2,16,1,2,6,4,8,4,8,4,6,4,8,1,2,1,2,6,8,4,2,4,2,4,1,2,6,2,1,2,4,1,
2,2,4,1,2,4,2,4,2,1,1,2,1,2,1],[1,3,6,10,1,3,5,4,4,4,8,4,10,4,4,4,1,2,1,1,1,2,
2,10,4,3,2,3,2,2,2,2,2,3,2,1,2,2,2,1,1,1,2,2,2,2,2,1,1,1,2,4,2,1,1,1,1,1,1,1,
1],[1,3,2,14,1,1,7,4,4,4,12,10,4,4,4,1,3,1,1,4,4,10,1,2,5,2,2,2,2,2,3,2,1,2,2,
2,1,1,1,2,2,2,2,2,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,7,12,7,18,8,4,18,1,3,2,6,
12,9,6,6,2,1,6,3,6,3,6,6,1,3,3,1],[1,3,4,12,1,2,4,8,10,8,8,6,8,1,2,1,2,8,6,4,
4,4,1,2,4,6,2,1,4,2,2,1,4,2,1,2,4,2,4,2,1,1,2,1,2,1],[1,7,6,6,7,3,3,12,4,4,6,
8,4,4,1,1,1,3,6,6,6,3,3,2,2,4,2,2,3,2,1,2,2,2,1,1,2,2,2,1,3,3,3,6,1,1,1,1,1,1,
1,1],[1,7,2,10,7,1,5,8,4,4,4,6,8,4,4,1,1,1,1,2,2,10,2,4,1,2,3,2,2,4,2,2,3,2,1,
2,2,2,1,1,2,2,2,1,2,1,1,1,2,2,2,4,1,1,1,1,1,1,1,1],[1,7,6,18,7,3,9,12,12,4,12,
16,16,1,1,3,4,3,3,6,18,18,18,12,12,24,12,20,1,1,3,4,3,3,3,9,3,3,3,6,3,3,3,3,3,
6,6,6,8,24,24,24,1,3,3,3,3,3,3,6,6,1],[1,3,6,6,1,3,3,12,4,12,4,4,8,8,1,3,8,3,
4,4,2,2,8,8,8,1,2,2,2,2,2,1,2,2,2,1,1,1,1,1],[1,3,6,6,1,3,3,12,4,12,4,4,8,8,1,
3,8,3,4,4,2,2,8,8,8,1,2,2,2,2,2,1,2,2,2,1,1,1,1,1],[1,3,6,6,1,3,3,12,4,12,4,4,
16,1,3,8,3,8,2,2,16,8,1,4,2,4,1,2,4,1,1,2,1],[1,3,6,6,1,3,3,12,4,12,4,4,8,8,1,
3,8,3,4,4,2,2,8,8,8,1,2,2,2,2,2,1,2,2,2,1,1,1,1,1],[1,7,2,6,7,1,3,12,12,8,4,4,
8,1,3,3,8,2,2,4,8,8,12,1,2,2,2,1,1,2,2,2,2,2,1,1,1,1],[1,7,2,6,7,1,3,12,12,4,
4,16,1,3,3,8,2,2,8,16,8,1,2,4,1,1,4,4,2,1,2,1],[1,1,4,6,4,1,2,2,2,2,1,2,1,4,2,
8,8,4,8,4,8,1,1,2,2,4,1,4,2,4,4,4,2,2,2,4,8,4,1,1,2,2,1,2,2,1,1,2,2,2,1,1,1,
1],[1,1,8,2,4,3,2,2,2,1,4,2,1,2,8,8,4,12,8,1,1,2,2,4,1,4,2,4,4,4,2,2,2,8,4,4,
1,1,2,2,1,2,2,1,1,2,2,2,1,1,1,1],[1,3,2,10,1,1,5,8,4,8,8,4,4,4,4,8,2,2,8,1,2,
4,2,2,4,8,8,2,4,2,1,1,1,2,2,2,2,1,1,2,2,2,1,1,1,1],[1,1,4,6,4,1,2,2,2,2,1,2,1,
4,2,8,8,4,4,8,8,1,1,2,2,4,1,4,2,4,2,4,2,2,4,4,4,4,4,1,1,1,2,2,2,2,2,2,1,1,2,1,
1,1,1],[1,1,8,2,4,3,2,2,2,1,4,2,1,2,8,8,4,8,4,8,1,1,2,2,4,1,4,6,2,4,2,2,4,4,4,
4,4,1,1,1,2,2,2,2,2,2,1,1,2,1,1,1,1],[1,7,2,6,7,1,3,12,12,8,8,4,4,1,3,3,8,2,2,
8,4,8,12,1,2,2,2,1,1,2,2,2,2,2,1,1,1,1],[1,7,2,6,7,1,3,12,12,8,4,4,8,1,3,3,8,
2,2,4,8,8,4,8,1,2,2,2,1,1,2,2,2,2,2,1,1,1,1],[1,3,2,2,8,1,1,1,4,4,4,8,12,4,4,
4,4,8,1,2,2,8,2,2,2,4,4,2,2,4,4,4,8,1,1,1,2,2,2,2,1,2,2,1,2,1,1,1,1],[1,7,6,
10,7,3,5,4,12,2,2,6,6,12,8,1,6,6,3,1,6,10,2,2,4,4,2,2,4,4,2,2,10,16,4,1,1,1,1,
1,4,4,4,1,2,4,2,3,2,2,2,1,1,3,1,2,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,3,6,14,1,3,
7,8,12,2,2,6,6,8,12,6,6,3,2,4,4,4,8,8,2,2,6,2,2,8,4,16,4,1,1,2,1,4,4,4,1,1,1,
2,4,2,2,4,2,2,1,4,4,4,2,1,1,2,1,2,2,2,2,1],[1,3,6,6,8,1,3,3,12,4,4,2,2,6,6,4,
4,8,4,4,6,6,3,2,4,4,4,4,4,4,4,2,2,2,2,2,4,2,2,8,16,4,1,1,2,1,4,4,4,1,1,1,2,2,
2,2,2,2,2,2,1,2,2,2,4,4,2,1,1,2,1,2,2,2,2,1],[1,3,10,10,1,5,5,12,2,2,4,6,6,4,
8,4,4,4,1,1,6,6,3,2,2,6,2,4,4,4,4,8,2,4,2,2,2,2,2,2,16,4,1,1,1,1,1,4,4,4,1,2,
2,2,2,1,1,2,2,2,2,1,2,2,1,1,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,3,6,14,1,3,7,12,2,
2,6,6,8,8,4,8,2,6,6,3,4,4,4,8,8,2,6,6,4,2,2,2,2,16,4,1,1,2,1,4,4,4,1,4,2,2,2,
4,4,1,4,2,4,4,2,1,1,2,1,2,4,2,1],[1,3,10,6,4,1,5,3,12,2,2,2,2,4,6,6,2,2,2,10,
6,1,6,6,3,1,2,2,2,2,2,2,2,4,4,4,2,1,3,5,8,4,1,2,2,2,2,4,8,4,1,1,1,1,2,4,4,1,2,
1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,2,2,1,1,1,1,1,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1],[1,3,6,10,4,1,3,5,12,2,2,2,2,6,6,4,2,2,2,6,10,1,6,6,3,1,2,2,2,2,2,2,2,4,
4,4,2,1,5,3,8,4,1,2,2,2,2,4,8,4,1,1,1,1,2,4,4,1,2,1,1,1,1,1,1,1,2,1,1,1,1,1,1,
1,1,2,2,1,1,1,1,1,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,3,4,8,4,1,2,4,4,8,6,
4,4,8,12,10,2,1,1,4,4,4,4,4,4,4,4,4,5,6,8,4,1,1,2,2,1,3,4,4,1,2,2,2,2,2,2,1,1,
2,1,2,2,2,1,2,1,2,2,1],[1,3,4,8,4,1,2,4,4,8,6,4,4,8,12,10,2,1,1,4,4,4,2,2,2,2,
4,2,2,5,2,2,4,6,8,4,1,1,1,1,2,1,1,2,5,3,1,2,1,2,3,1,3,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,2,1],[1,1,6,12,1,2,2,4,2,8,2,4,12,4,4,6,8,4,4,4,1,2,1,4,4,4,4,2,4,2,
4,3,4,4,8,4,1,1,2,2,1,1,2,2,2,2,2,2,2,2,2,1,1,2,2,2,1,1,2,2,2,1,2,1,2,2,1],[1,
1,10,8,3,2,4,2,4,8,2,12,4,4,6,4,8,4,4,1,2,1,4,4,4,4,6,4,2,3,4,4,8,4,1,1,2,2,1,
1,2,2,2,2,2,2,2,2,2,1,1,2,2,2,1,1,2,2,2,1,2,1,2,2,1],[1,3,4,8,4,1,1,1,6,10,2,
2,1,2,1,8,4,2,4,2,8,8,1,1,2,4,2,2,1,2,1,2,2,2,4,2,2,2,4,4,4,4,1,2,2,2,4,4,1,1,
1,1,1,1,1,1,1,1,1,2,2,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1],[1,3,4,8,4,1,1,1,6,10,2,2,1,2,1,8,4,2,4,2,8,8,1,1,2,4,2,2,1,2,
1,2,2,2,4,2,2,2,4,4,4,4,1,2,2,2,4,4,1,1,1,1,1,1,1,1,1,1,1,2,2,2,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,6,8,4,1,2,4,2,2,2,
8,2,12,4,2,6,4,6,6,4,4,2,1,4,1,2,2,2,2,4,3,3,3,2,2,2,2,2,4,8,4,1,1,1,1,2,1,1,
1,2,2,2,1,1,1,1,1,1,1,1,1,1,1,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1],[1,
3,4,12,1,1,3,6,10,1,2,1,4,8,4,2,4,10,6,1,1,1,2,4,2,2,1,2,2,2,2,2,4,1,3,5,4,2,
2,2,2,2,4,4,4,1,1,1,1,1,1,1,1,1,2,2,1,1,2,1,1,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,3,8,8,1,3,1,6,10,1,4,2,1,8,4,2,4,6,10,1,1,1,2,
4,2,2,1,2,2,2,2,2,4,1,5,3,4,2,2,2,2,2,4,4,4,1,1,1,1,1,1,1,1,1,2,2,1,1,1,2,1,2,
1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,7,4,4,4,7,2,2,8,
6,4,4,8,8,14,1,2,1,4,4,4,4,4,4,7,4,4,8,8,4,1,1,2,2,1,1,2,2,6,1,4,3,2,2,2,2,1,
1,2,2,2,1,2,1,2,2,1],[1,3,6,14,1,3,7,8,12,4,12,8,8,4,1,3,2,2,8,8,3,2,8,8,2,2,
2,8,1,1,1,2,2,4,4,4,4,4,1,2,2,2,1],[1,7,2,6,8,7,1,3,12,12,4,4,8,12,4,1,3,3,8,
2,2,8,2,8,8,2,2,2,8,1,1,1,2,4,4,2,4,4,4,1,2,2,2,1],[1,7,2,14,8,7,1,7,12,4,4,4,
8,8,8,12,12,4,1,2,2,8,1,3,2,2,8,2,2,14,2,2,8,8,24,2,2,4,2,10,4,1,1,1,1,1,1,2,
2,2,1,2,2,1,2,3,1,1,4,4,2,2,6,4,4,1,1,1,1,1,2,1,2,1,2,2,1],[1,3,6,14,8,1,3,7,
8,12,4,4,4,12,8,8,4,8,4,4,1,3,2,2,8,8,3,2,2,4,8,8,8,8,4,4,8,8,2,2,2,4,2,8,4,1,
1,1,2,1,1,1,2,2,2,2,2,2,1,2,2,2,4,2,2,2,2,4,4,4,1,2,2,1,1,1,1,1,1,2,2,1],[1,7,
2,14,8,7,1,7,20,12,4,4,8,12,4,12,1,3,5,8,2,2,8,2,8,16,8,12,4,4,8,6,2,2,8,2,4,
1,1,1,2,1,1,1,2,2,2,2,2,2,2,4,4,4,2,3,2,2,4,4,1,2,2,1,1,1,1,1,1,2,2,1],[1,3,6,
14,8,1,3,7,8,4,4,4,8,4,4,8,8,12,8,4,4,1,1,2,2,8,1,2,2,2,8,2,2,2,6,2,8,8,8,8,
16,8,2,4,2,2,2,4,1,1,1,1,1,1,2,2,1,1,2,2,2,2,1,2,2,1,1,2,2,4,4,4,4,4,1,1,1,1,
1,2,1,2,1,2,2,1],[1,3,2,18,8,1,1,9,8,4,4,4,8,8,8,8,12,8,8,2,2,2,8,1,2,2,2,8,2,
4,4,4,16,16,16,2,6,6,4,2,4,1,1,2,1,1,2,2,2,4,4,1,4,2,4,4,4,4,4,4,1,2,2,2,1,2,
1,4,1],[1,1,8,14,8,3,2,4,2,4,4,1,4,2,5,4,12,8,4,8,8,2,2,10,2,2,2,4,1,1,1,2,4,
2,2,4,2,4,4,2,2,12,4,8,2,2,8,4,4,4,4,1,1,5,4,1,2,2,4,4,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,1,1,3,1,1,2,1,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1],[1,1,8,14,8,3,2,4,2,4,4,1,4,2,5,4,12,8,4,8,8,2,2,2,10,2,2,4,1,1,1,2,4,2,2,
4,2,4,4,2,2,12,8,4,2,2,4,8,4,4,4,1,5,1,4,1,2,2,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,2,1,4,4,1,1,3,1,2,1,1,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[
1,15,4,12,4,35,2,6,24,24,6,4,4,8,8,6,15,6,6,16,1,4,4,4,8,24,12,4,4,4,8,3,12,8,
1,2,1,2,2,1,2,1,2,2,3,12,12,3,1,2,2,8,8,2,2,1,1,2,1,2,2,2,1],[1,1,6,20,8,1,6,
2,4,4,4,2,8,2,12,16,12,4,4,16,16,2,4,8,4,8,4,3,4,2,1,4,4,4,8,2,8,4,4,8,16,8,8,
8,4,4,4,2,1,8,8,1,1,2,2,2,1,2,2,2,2,1,1,4,2,8,8,8,8,1,1,2,2,4,2,2,2,1,1,1,2,2,
2,1],[1,1,18,8,8,7,2,4,4,4,2,28,8,2,12,4,4,16,16,2,8,4,8,4,4,7,2,1,4,4,4,8,2,
8,4,4,8,16,8,8,8,4,4,2,4,1,8,8,1,1,2,2,2,1,2,2,2,2,1,1,2,4,8,8,8,8,1,1,2,2,4,
2,2,2,1,1,1,2,2,2,1],[1,3,16,12,4,1,7,3,6,18,2,2,1,28,2,1,12,8,4,2,8,8,4,2,4,
4,8,7,3,1,1,8,2,4,2,2,2,2,4,3,2,1,4,4,2,12,4,8,2,4,4,2,4,8,2,4,4,6,2,2,4,1,4,
4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,6,1,2,2,1,4,4,4,4,1,1,6,1,2,1,4,4,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1],[1,3,8,20,4,1,3,7,6,18,2,2,1,4,2,1,20,16,8,4,2,8,8,
4,2,4,4,8,1,5,4,1,1,8,2,4,2,2,2,2,4,3,2,1,4,4,2,8,4,8,4,4,2,2,4,8,4,2,4,4,2,4,
2,2,4,1,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,2,4,2,1,1,2,4,4,4,4,1,1,2,4,2,
1,1,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,3,4,24,4,1,1,9,18,6,4,1,1,2,12,28,
4,8,2,4,4,8,4,2,8,8,3,7,1,1,8,2,2,2,4,2,2,4,3,2,1,2,2,1,3,2,3,9,12,6,6,12,2,2,
2,4,3,3,4,4,1,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,3,3,3,3,4,4,4,4,1,1,3,3,3,
1,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,10,12,12,3,2,2,4,6,6,2,4,8,2,
4,12,4,6,8,8,16,16,2,6,6,4,4,1,1,2,1,4,2,2,2,2,4,4,3,4,4,4,4,4,4,4,4,4,4,4,4,
8,8,2,2,2,2,4,4,4,1,3,3,4,4,8,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,
4,4,4,1,1,2,2,2,2,1,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,3,4,24,4,1,2,
12,20,8,16,16,16,6,4,4,8,4,10,4,4,4,8,16,2,5,1,4,4,4,12,4,4,20,8,8,8,5,8,2,8,
1,2,1,2,2,1,2,1,4,2,1,3,8,8,2,8,8,5,4,2,2,2,2,1,1,1,2,2,2,1],[1,3,8,8,16,1,3,
1,6,10,8,8,8,1,4,2,1,8,4,16,8,8,16,2,4,6,2,1,1,1,2,4,2,2,2,2,4,1,2,4,2,8,4,4,
2,4,4,2,4,2,2,4,2,4,4,8,12,8,4,4,4,1,1,3,4,4,2,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,
2,1,1,1,1,2,2,4,1,1,2,1,2,1,3,4,4,1,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1],[1,3,4,12,16,1,1,3,6,10,8,8,8,1,2,1,4,8,4,16,8,8,16,2,4,2,6,1,1,1,2,4,2,2,
2,2,4,1,2,4,2,8,4,4,2,4,4,2,4,2,4,2,4,2,8,4,12,8,4,4,4,1,3,1,4,4,2,4,4,1,1,1,
1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,2,2,4,1,1,1,2,1,2,3,4,4,1,4,4,4,4,4,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1],[1,7,4,20,4,7,2,10,24,16,16,8,8,6,4,4,8,8,6,1,4,2,2,8,8,
4,6,8,1,4,4,4,2,14,4,4,4,4,8,6,6,12,4,3,4,4,8,1,1,1,1,1,1,2,1,1,1,2,1,2,1,1,1,
3,1,1,4,4,2,4,4,4,4,1,2,3,3,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,3,6,6,1,3,
3,12,2,2,6,6,4,4,6,6,3,2,2,2,2,2,2,16,8,1,1,1,4,4,4,4,4,4,1,2,4,1],[1,3,6,6,1,
3,3,12,2,2,6,6,4,4,8,8,6,6,3,2,2,4,4,16,2,2,2,2,4,4,4,4,16,16,1,1,2,2,4,8,8,1,
4,4,4,4,1,2,4,1],[1,3,4,12,1,2,4,8,10,8,4,10,1,2,1,2,8,6,4,3,2,2,6,4,2,4,1,1,
2,2,1,2,4,2,4,2,2,4,4,1,1,1,2,2,1],[1,1,2,16,1,2,6,4,8,4,8,10,4,1,2,1,2,6,8,4,
2,3,2,6,2,4,4,1,1,2,2,1,2,4,2,4,2,2,4,4,1,1,1,2,2,1],[1,1,6,12,3,6,4,8,12,10,
4,1,3,2,6,12,2,5,6,2,4,4,1,1,2,2,3,6,6,2,4,4,1,1,1,2,2,1],[1,7,12,7,18,8,14,1,
3,2,6,12,7,6,4,2,4,1,1,2,2,3,6,6,2,4,4,1,1,1,2,2,1],[1,7,4,7,6,4,6,8,1,1,4,3,
6,4,4,1,2,1,2,2,1,2,1,1,1,1],[1,3,4,4,1,2,4,6,8,2,8,1,1,4,4,1,4,4,4,1,2,1,2,2,
1,2,1,1,1,1],[1,1,6,4,3,2,4,4,4,2,4,8,1,1,4,6,2,4,1,4,1,2,1,2,2,1,2,1,1,1,1],[
1,1,2,8,1,2,2,4,4,4,2,4,8,1,1,4,2,4,2,4,1,4,1,2,1,2,2,1,2,1,1,1,1],[1,3,4,12,
8,1,1,3,6,10,4,4,8,1,2,1,4,8,4,12,2,6,10,1,1,1,2,4,2,2,1,2,2,2,8,2,2,2,2,2,2,
2,4,4,8,2,2,4,1,5,3,4,4,4,2,2,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,2,1,2,2,2,1,1,1,1,
1,1,1,1,1,1,1,1,2,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,3,8,8,8,1,3,1,6,
10,4,4,8,1,4,2,1,8,4,12,2,10,6,1,1,1,2,4,2,2,1,2,2,2,8,2,2,2,2,2,2,2,4,4,8,2,
2,4,1,3,5,4,4,4,2,2,4,4,4,1,1,1,1,1,1,1,1,1,1,1,2,1,1,2,2,2,1,1,1,1,1,1,1,1,1,
1,1,1,2,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,10,12,4,3,2,2,4,2,2,2,4,
8,2,4,12,4,2,8,8,2,4,2,10,4,4,1,1,2,1,4,2,2,4,1,4,4,2,2,4,4,4,2,2,4,4,4,1,5,1,
4,2,2,2,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,2,1,1,1,1,1,2,1,1,4,4,1,
1,1,1,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,10,12,4,3,2,2,4,2,2,2,4,8,2,4,
12,4,2,8,8,2,4,10,2,4,4,1,1,2,1,4,2,2,4,1,4,4,2,2,4,4,2,4,4,2,4,4,1,1,5,4,2,2,
2,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,1,1,1,1,1,1,1,1,2,1,4,4,1,1,1,1,
4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,3,8,12,4,1,3,3,6,10,2,2,1,4,2,1,4,8,4,
2,8,8,8,2,4,4,1,1,1,1,2,4,2,2,2,2,4,1,2,1,4,2,2,2,6,2,4,2,2,4,2,4,4,8,2,4,2,2,
4,1,2,4,4,4,1,1,1,1,1,1,1,1,1,1,2,1,1,1,2,1,1,1,1,2,2,1,1,1,1,1,1,1,1,1,1,4,4,
4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,3,8,12,4,1,3,3,6,10,2,2,1,4,2,1,4,8,4,
2,8,8,8,2,4,4,1,1,1,1,2,4,2,2,2,2,4,1,2,1,4,2,2,2,6,2,4,2,2,4,2,4,4,8,2,4,2,2,
4,1,2,4,4,4,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,2,1,1,2,1,1,2,1,1,1,1,1,1,1,1,1,4,4,
4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,3,4,16,4,1,1,5,10,6,4,1,1,2,4,4,4,8,2,
4,4,8,8,2,8,1,1,1,1,2,2,2,4,2,2,4,1,2,1,2,2,1,3,2,3,5,4,2,2,4,2,2,2,4,2,3,9,4,
4,1,2,4,4,4,1,1,1,1,1,1,1,1,1,3,1,1,1,3,1,1,3,3,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,
2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,3,8,12,4,1,3,3,6,18,2,2,1,4,2,1,12,8,
4,2,2,12,4,1,3,1,1,8,2,4,2,2,3,2,1,2,2,2,4,4,4,2,2,2,2,4,4,2,2,6,4,4,1,2,2,8,
4,4,1,1,1,2,1,1,1,1,1,1,2,1,2,1,1,1,1,1,1,2,1,1,1,1,1,1,4,4,1,1,1,1,1,4,4,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,3,8,12,4,1,3,3,6,18,2,2,1,4,2,1,12,8,4,2,2,4,
12,1,3,1,1,8,2,4,2,2,3,2,1,2,2,2,4,4,4,2,2,2,2,4,4,2,6,2,4,4,1,2,2,8,4,4,1,1,
2,1,1,1,1,1,1,1,1,2,2,1,1,1,1,1,1,2,1,1,1,1,1,1,4,4,1,1,1,1,1,4,4,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1],[1,1,6,12,8,1,2,2,4,4,4,2,8,2,4,12,4,4,8,8,4,2,4,8,4,4,1,
2,1,4,2,2,4,2,4,2,4,2,4,4,4,2,2,4,4,4,2,4,4,2,4,1,2,2,4,4,4,4,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,2,1,1,1,1,1,1,1,2,1,1,1,4,4,1,1,2,1,1,1,4,4,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1],[1,1,10,8,8,3,2,4,4,4,2,4,8,2,12,4,4,8,8,4,2,8,4,4,4,1,2,1,4,2,2,4,
2,4,4,2,4,2,4,4,2,2,4,4,4,6,2,4,4,1,2,2,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
2,1,1,1,1,1,2,1,1,1,1,4,4,1,1,1,2,1,1,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,
7,4,12,4,7,2,6,16,16,6,4,4,8,12,6,1,4,4,8,1,4,4,4,2,6,2,2,4,4,4,4,8,2,2,4,3,
14,8,4,1,1,2,1,1,2,1,1,2,2,2,2,1,2,2,1,2,1,1,1,1,1,2,2,4,4,4,4,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1],[1,3,4,16,4,1,2,8,12,8,8,8,6,4,4,8,8,10,2,2,8,2,3,1,4,4,4,
4,4,4,8,4,4,8,4,5,2,2,8,4,8,4,1,1,1,2,1,2,1,1,2,2,1,1,4,2,1,2,1,1,2,4,4,2,2,2,
4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,3,8,8,8,1,3,1,6,10,4,4,1,4,2,1,8,4,4,
8,8,2,8,2,6,1,1,1,2,4,2,2,2,2,4,1,2,2,4,2,4,2,2,2,4,4,4,4,4,4,1,3,1,4,4,2,4,2,
8,4,4,1,1,1,2,1,1,1,1,1,1,2,1,1,1,1,1,2,2,1,3,1,2,1,1,1,1,1,1,4,4,4,4,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1],[1,3,4,12,8,1,1,3,6,10,4,4,1,2,1,4,8,4,4,8,8,2,8,6,2,
1,1,1,2,4,2,2,2,2,4,1,2,2,4,2,4,2,2,2,4,4,4,4,4,4,1,1,3,4,4,2,4,2,8,4,4,1,1,1,
2,1,1,1,1,1,1,1,2,1,1,1,3,2,1,1,2,1,2,1,1,1,1,1,1,4,4,4,4,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1],[1,7,4,12,4,7,2,6,8,8,8,8,6,4,4,8,12,6,1,2,2,8,2,2,1,4,4,4,4,12,
4,2,2,4,2,2,4,2,2,4,3,4,10,8,4,1,1,1,1,1,1,2,1,1,3,1,2,1,2,2,3,1,1,2,2,1,1,4,
4,1,1,1,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,7,4,12,4,7,2,6,16,16,6,4,4,8,
4,14,1,4,4,8,1,4,4,4,2,6,4,4,4,6,6,4,7,2,2,12,2,8,4,1,1,1,3,2,1,1,1,3,2,1,3,3,
1,2,1,1,1,1,1,3,1,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1],[1,1,14,4,7,2,28,4,2,
4,8,8,7,1,8,4,2,4,1,4,1,2,1,2,2,1,2,1,1,1,1],[1,1,10,8,3,2,4,2,4,8,2,12,4,2,4,
8,4,4,1,2,1,4,4,4,4,4,2,1,4,1,2,2,1,2,1,2,1,1,1,1],[1,1,2,16,1,6,2,12,16,4,2,
4,8,8,3,4,1,8,4,2,4,1,4,1,2,1,2,2,1,2,1,1,1,1],[1,1,6,12,1,2,2,4,2,8,2,4,12,4,
2,4,8,4,4,1,2,1,4,4,4,4,2,4,1,4,1,2,1,2,2,1,2,1,1,1,1],[1,1,2,16,1,2,6,4,4,12,
12,2,4,8,8,1,3,4,8,4,2,4,1,4,1,2,1,2,2,1,2,1,1,1,1],[1,1,6,12,3,6,4,4,12,12,2,
12,8,1,3,4,8,4,6,1,4,1,2,2,1,2,1,2,1,1,1,1],[1,3,4,12,1,2,4,4,12,18,4,2,8,1,3,
12,4,8,4,1,2,4,1,2,1,2,1,2,2,1,1,1,1],[1,3,4,8,4,1,2,4,4,8,6,4,4,8,6,8,2,1,1,
4,4,4,4,4,4,4,3,4,1,2,2,1,1,2,2,1,1,1,1],[1,3,12,4,1,6,12,16,6,4,2,8,4,8,3,1,
4,8,1,2,4,4,1,1,2,2,1,2,2,1,1,1,1],[1,7,4,4,4,7,2,2,8,6,4,4,8,4,10,1,2,1,4,4,
4,4,4,4,5,2,4,1,1,2,2,2,1,2,1,1,1,1],[1,15,4,35,6,6,8,15,1,12,3,4,4,1,3,2,3,2,
1,1,1,1],[1,7,12,7,4,12,18,14,1,3,12,12,7,4,1,2,3,3,2,1,1,1,1],[1,3,2,10,8,1,
1,5,8,4,4,4,8,12,12,8,1,2,2,2,8,2,4,2,2,4,2,2,12,4,4,4,6,8,4,1,1,1,2,1,2,3,3,
2,1,3,2,1,3,2,1,1,1,1,3,1,1,1,2,1,1,2,1,1,1,1,1,1,1],[1,3,2,14,4,1,1,7,8,4,2,
2,4,8,8,2,2,2,10,6,1,2,2,8,1,2,1,2,2,2,4,4,4,8,2,1,3,5,8,4,1,4,4,1,1,1,2,1,1,
1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1],[1,3,6,10,4,1,3,5,8,4,2,2,4,8,8,2,2,2,6,10,1,2,2,8,1,2,1,2,2,2,4,4,4,8,2,1,
5,3,8,4,1,4,4,1,1,1,2,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,2,2,2,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,8,10,4,3,4,2,2,2,1,4,2,5,12,8,2,4,4,4,8,2,2,
4,1,1,2,4,1,2,2,4,4,2,2,4,4,4,6,4,2,2,4,4,4,4,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,
1,2,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,4,14,4,
1,2,4,2,2,2,1,2,5,4,12,8,2,4,4,8,4,2,2,4,1,1,2,4,1,2,2,4,4,2,2,4,4,4,2,4,2,4,
2,4,4,4,4,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,2,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,4,10,8,1,4,2,4,4,1,2,5,12,8,4,6,2,6,6,2,2,4,
1,2,4,2,2,2,2,2,4,4,4,8,3,3,3,4,4,1,4,4,4,1,1,1,1,1,1,1,1,1,1,2,1,1,2,2,1,1,1,
1,1,1,2,2,1,1,1,1,1,2,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1],[1,1,8,14,3,2,4,2,1,4,2,
5,4,12,8,2,6,6,6,2,2,4,1,1,1,2,4,4,2,2,2,2,4,4,4,4,1,3,3,3,4,4,4,4,4,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,2,1,1,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1],[1,7,2,6,8,7,1,3,4,4,4,4,8,12,8,12,1,1,1,2,2,8,2,2,6,4,8,2,2,4,6,4,8,8,
4,1,1,1,2,1,1,1,3,3,1,2,1,2,1,5,2,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1],[1,3,4,4,1,2,4,6,4,6,8,8,1,1,4,4,3,2,4,4,1,1,2,2,2,2,1,1,1,1,1],[1,1,2,8,1,
2,2,4,4,6,4,16,1,1,4,2,4,4,3,4,1,1,2,2,2,2,1,1,1,1,1],[1,1,6,4,3,2,4,4,6,12,8,
1,1,4,6,4,3,4,1,1,2,2,2,2,1,1,1,1,1],[1,1,6,4,1,2,4,4,2,6,12,8,1,1,4,1,2,2,4,
4,4,1,1,2,2,2,2,1,1,1,1,1],[1,7,4,7,6,18,8,1,1,4,9,4,4,1,1,4,2,2,1,1,1,1,1],[
1,7,2,6,7,1,3,4,4,8,4,4,8,1,1,1,2,6,2,2,2,2,4,2,2,4,8,4,1,1,1,1,2,2,2,2,1,1,2,
1,1,1,4,4,1,1,1,1,1,1,1,1],[1,3,2,10,1,1,5,4,8,12,4,4,4,2,1,4,4,4,2,6,6,2,2,2,
4,4,2,1,1,2,2,2,2,1,1,1,1,1,2,4,4,1,1,1,1,1,1,1,1],[1,3,6,6,1,3,3,4,4,4,12,4,
8,1,1,1,2,2,6,2,8,2,4,4,2,4,4,1,1,1,1,2,2,2,2,2,1,1,1,1,1,4,4,1,1,1,1,1,1,1,
1],[1,3,12,4,1,6,12,6,6,8,8,3,1,12,12,4,3,4,1,2,2,3,3,1,1,1,1],[1,7,8,4,7,4,8,
6,4,10,8,1,2,1,8,4,4,8,5,2,4,1,2,2,2,1,1,2,1,1,1,1],[1,1,2,8,8,1,2,2,4,4,4,4,
4,2,4,16,1,1,2,8,8,4,4,2,4,4,1,1,2,2,1,1,2,2,1,1,1,1],[1,1,6,4,8,3,2,4,4,4,4,
4,2,4,8,8,1,1,2,8,8,4,4,4,2,4,1,1,2,2,1,1,2,2,1,1,1,1],[1,1,14,4,5,2,4,8,4,2,
2,12,8,2,1,1,4,8,8,4,1,2,4,4,1,2,2,1,2,2,1,1,1,1,1],[1,3,2,2,1,1,1,4,4,8,4,4,
1,2,2,4,2,2,2,4,1,1,1,1,2,1,2,2,2,2,2,2,1,1,1,1],[1,7,8,12,7,4,8,18,8,4,6,1,2,
3,2,8,6,12,4,8,3,2,6,2,4,1,2,3,1,2,6,6,2,4,4,1,1,1,2,2,1],[1,3,12,12,1,6,12,8,
10,8,10,3,2,1,2,16,6,4,12,3,2,6,2,4,1,3,2,4,3,2,4,2,2,4,4,1,1,1,2,2,1],[1,1,2,
16,8,1,2,6,4,4,4,8,4,8,4,6,4,1,2,1,2,2,8,8,4,6,8,4,2,1,2,6,2,4,1,1,1,2,4,2,2,
2,4,2,2,4,4,1,1,1,2,2,1],[1,1,6,12,8,3,6,4,4,4,8,12,4,6,4,1,3,2,2,8,8,4,6,12,
2,3,6,2,4,1,1,3,6,2,2,6,2,4,4,1,1,1,2,2,1],[1,3,2,10,8,1,1,5,8,4,4,4,4,12,1,2,
2,4,4,4,4,4,4,4,4,2,8,8,4,4,4,1,2,2,1,1,1,2,1,2,4,4,4,4,2,2,2,4,4,4,4,1,1,1,2,
2,2,2,4,1],[1,3,2,2,8,1,1,1,4,4,4,4,4,12,1,2,4,4,4,4,4,2,2,8,4,4,1,2,1,1,1,2,
2,1,2,4,4,2,2,2,1,1,1,2,2,1],[1,3,2,10,1,1,5,8,4,8,4,4,1,2,4,4,4,2,2,4,2,2,8,
4,4,1,2,1,1,1,2,2,1,2,4,4,2,2,2,1,1,1,2,2,1],[1,1,2,12,5,2,1,1,2,8,2,2,4,4,4,
2,1,4,4,4,1,2,4,1,2,2,4,4,4,2,1,1,2,1,2,2,1,1,1,1],[1,1,2,4,1,2,1,1,2,6,2,4,4,
4,1,1,2,2,4,1,2,2,4,4,4,4,2,1,1,2,1,2,2,1,1,1,1],[1,3,18,8,5,1,9,9,24,18,3,9,
4,1,2,1,3,3,4,3,6,3,1,1],[1,21,5,8,1,9,9,18,24,3,9,4,1,1,1,1,3,3,4,3,3,3,3,1,
1],[1,3,6,8,5,1,3,3,4,3,6,3,4,1,2,1,3,3,4,1,3,1,1],[1,3,3,9,8,5,1,9,9,1,3,3,
12,3,4,1,2,1,3,3,4,3,1,1,1],[1,6,15,2,2,9,9,9,2,8,6,6,6,9,1,6,6,1,2,2,1,1,1,
1],[1,15,35,16,15,1,1],[1,21,6,16,9,21,3,2,18,18,16,3,9,6,18,18,9,8,12,1,9,9,
12,3,1,1],[1,9,12,6,16,9,3,3,6,12,2,18,6,12,16,3,9,6,6,12,6,12,3,6,8,12,1,3,6,
3,6,4,8,3,1,1],[1,21,6,16,9,3,21,2,18,18,16,3,9,6,18,18,9,8,12,1,9,9,12,3,1,
1],[1,3,18,6,16,3,6,1,2,9,12,2,6,12,6,12,16,3,3,6,6,6,12,6,12,3,6,8,8,4,1,3,6,
3,6,4,8,3,1,1],[1,3,6,18,16,1,3,9,12,2,2,6,6,12,6,12,16,3,6,6,3,6,6,12,12,3,6,
4,8,8,1,3,6,6,3,4,8,3,1,1],[1,3,18,6,16,1,9,3,12,2,2,12,6,6,6,12,16,3,6,6,3,6,
6,12,12,3,6,4,8,8,1,3,6,6,3,4,8,3,1,1],[1,3,6,18,16,1,3,9,12,2,2,6,6,12,6,12,
16,3,6,6,3,6,6,12,12,3,6,4,8,8,1,3,6,6,3,4,8,3,1,1],[1,15,12,16,35,18,18,16,
15,3,36,9,20,1,9,9,12,3,1,1],[1,9,18,16,15,3,3,2,18,12,6,12,16,9,3,6,6,6,12,
12,3,6,8,12,1,3,6,3,6,4,8,3,1,1],[1,9,18,16,15,3,3,2,18,12,6,12,16,9,3,6,6,6,
12,12,3,6,8,12,1,3,6,3,6,4,8,3,1,1],[1,3,6,18,16,9,6,1,2,3,2,6,12,12,6,12,16,
3,6,3,6,6,6,12,12,3,6,8,8,4,1,3,6,3,6,4,8,3,1,1],[1,3,6,6,12,16,1,3,3,12,6,6,
2,2,6,6,6,6,6,6,16,6,6,3,3,6,6,6,6,6,6,3,3,3,4,8,8,1,3,3,3,3,3,3,4,4,4,3,1,
1],[1,3,24,16,1,4,12,24,12,6,12,16,3,3,12,6,6,12,12,3,6,4,4,12,1,3,6,3,6,4,4,
4,3,1,1],[1,3,24,16,1,4,12,24,12,6,12,16,3,3,12,6,6,12,12,3,6,4,16,1,3,6,3,6,
4,8,3,1,1],[1,7,12,16,7,18,8,6,16,1,3,2,6,12,3,6,2,4,8,3,6,6,4,8,8,1,1],[1,1,
6,12,16,3,6,4,8,12,6,16,1,3,2,6,12,3,6,2,8,4,3,6,6,4,8,8,1,1],[1,7,6,6,16,7,3,
3,12,4,4,6,16,1,1,1,3,6,6,6,3,3,3,2,4,4,4,3,3,3,6,4,4,4,8,1,1],[1,13,6,16,3,7,
7,12,4,6,16,1,1,3,1,6,6,6,3,3,3,2,4,4,4,3,3,3,6,4,4,4,8,1,1],[1,7,6,6,16,3,7,
3,4,12,4,6,16,1,1,3,1,6,6,6,3,3,3,2,4,4,4,3,3,3,6,4,4,4,8,1,1],[1,1,12,6,12,
16,3,6,12,12,12,3,6,6,3,6,2,6,6,6,30,36,16,1,3,2,6,6,12,12,18,6,12,3,6,2,6,6,
6,6,24,12,6,8,12,1,6,3,6,3,6,6,4,8,8,1,1,1],[1,7,6,18,16,7,3,9,36,36,2,2,6,6,
24,24,16,1,6,6,6,6,8,8,24,24,24,9,9,24,4,8,8,1,3,12,12,3,4,8,8,1,1,1],[1,3,6,
6,16,16,1,3,3,12,12,12,24,4,12,24,12,12,24,16,3,6,6,24,4,12,4,4,8,12,12,24,12,
12,12,4,4,12,3,1,3,12,12,4,4,8,4,1,1,1],[1,3,10,18,16,1,3,3,12,24,8,2,18,12,
48,24,16,1,9,16,6,8,24,12,6,6,12,24,12,12,3,4,4,8,8,3,3,6,12,1,6,4,4,4,8,1,1,
1],[1,15,6,18,4,35,3,9,36,36,12,4,12,12,15,9,9,24,12,36,18,1,4,12,12,1,3,3,18,
18,1,3,3,4,3,1,3,3,1],[1,7,8,12,12,4,7,4,6,12,24,18,12,12,24,6,6,4,4,8,4,8,1,
6,3,8,3,12,12,12,6,6,12,6,6,12,3,3,12,1,4,4,8,8,4,1,3,3,3,3,3,3,12,12,1,1,2,1,
2,4,3,1,1,2,2,1,1],[1,1,8,6,24,4,1,6,12,12,12,3,9,12,3,15,18,16,12,4,4,8,4,8,
3,6,4,4,4,3,3,3,3,3,12,6,3,12,12,12,12,6,6,6,1,4,4,8,8,4,1,3,3,6,6,6,6,6,6,1,
1,1,1,1,1,1,4,3,1,1,1,1,1,1,1,1],[1,3,12,24,4,1,3,3,18,30,3,4,6,3,12,24,12,6,
6,4,12,12,1,3,3,3,8,6,12,6,6,3,6,6,6,6,6,12,12,3,3,12,1,4,12,12,1,3,3,3,3,3,3,
12,12,1,1,2,1,2,4,3,1,1,1,2,2,1],[1,3,6,30,4,1,6,30,18,3,3,6,16,12,24,12,4,12,
12,4,3,3,8,6,6,6,12,3,6,12,12,24,6,12,1,4,12,12,1,3,3,6,6,12,12,1,1,2,1,2,4,3,
1,1,1,2,2,1],[1,1,8,18,12,4,1,6,6,12,3,3,6,12,16,6,12,12,24,12,4,4,8,4,8,8,3,
4,3,6,6,12,3,6,6,24,12,12,6,12,1,4,4,8,8,4,1,3,3,6,12,12,6,1,1,2,1,2,4,3,1,1,
1,2,2,1],[1,1,20,6,12,4,7,6,6,6,3,28,6,3,6,24,24,12,4,4,8,4,8,8,7,3,6,6,12,3,
12,24,12,12,6,12,1,4,4,8,8,4,1,3,3,6,12,12,6,1,1,2,1,2,4,3,1,1,1,2,2,1],[1,1,
14,12,12,4,1,12,3,3,6,7,3,6,3,9,12,6,6,18,24,6,6,4,4,8,4,8,1,3,4,3,3,4,3,3,6,
3,3,6,3,6,6,6,6,6,6,6,6,6,6,6,3,3,6,1,4,4,8,8,4,1,3,3,6,3,3,3,3,6,6,6,1,1,1,1,
1,1,1,4,3,1,1,1,1,1,1,1,1],[1,15,4,16,35,6,6,16,15,1,12,3,20,1,3,3,4,1,1,1],[
1,13,6,16,9,3,9,2,18,6,16,1,9,6,6,6,3,8,12,1,3,3,4,1,1,1],[1,13,6,16,9,9,3,2,
18,6,16,1,9,6,6,6,3,8,12,1,3,3,4,1,1,1],[1,7,6,6,16,3,6,7,2,3,2,6,12,6,16,1,3,
6,6,6,6,3,8,8,4,1,3,3,4,1,1,1],[1,7,12,16,7,4,12,18,6,16,1,3,12,12,3,4,16,1,3,
3,4,1,1,1],[1,7,6,6,16,7,3,3,12,2,2,6,6,6,16,1,6,6,3,6,6,3,4,8,8,1,3,3,4,1,1,
1],[1,3,12,4,16,1,6,12,6,6,16,3,1,12,12,3,4,1,3,3,4,1,1,1],[1,7,12,12,4,7,6,
12,18,10,6,8,8,4,1,3,3,12,12,12,3,9,1,4,4,4,1,3,3,3,3,3,3,2,2,1,4,3,1,1,1,1],[
1,1,6,12,12,4,3,6,6,6,4,12,6,4,6,6,8,8,4,1,3,3,12,12,12,6,3,3,1,4,4,4,1,3,3,3,
3,3,3,2,2,1,4,3,1,1,1,1],[1,1,18,12,4,3,6,12,4,12,6,4,12,8,8,4,1,3,3,12,12,12,
3,3,6,1,4,4,4,1,3,3,3,3,3,3,2,2,1,4,3,1,1,1,1],[1,7,6,6,4,7,3,3,12,10,12,4,4,
4,1,3,6,6,6,9,12,1,4,4,4,1,3,3,3,3,3,3,1,1,1,4,3,1,1,1,1],[1,1,6,12,4,3,6,3,3,
6,4,4,6,12,4,4,4,1,3,6,6,3,3,6,3,12,1,4,4,4,1,3,3,3,3,3,3,1,1,1,4,3,1,1,1,1],[
1,1,12,6,4,3,6,3,4,6,3,4,6,6,6,4,4,4,1,3,6,6,6,3,3,3,12,1,4,4,4,1,3,3,3,3,3,3,
1,1,1,4,3,1,1,1,1],[1,3,4,16,1,6,6,6,16,1,3,3,4,1,3,3,4,1,1,1],[1,3,12,12,4,1,
6,12,12,16,6,6,12,8,12,4,8,3,3,6,24,6,6,3,1,4,4,4,1,3,6,3,6,2,1,2,4,3,1,1,1,
1],[1,3,6,6,12,4,1,3,3,12,6,6,4,12,6,6,6,6,8,12,1,3,8,3,3,6,12,12,6,3,3,3,1,4,
4,4,1,3,3,3,3,3,3,2,1,2,4,3,1,1,1,1],[1,9,18,4,15,3,3,2,18,12,6,12,8,12,9,3,6,
6,6,12,12,3,6,1,4,4,4,1,3,6,3,6,2,3,4,3,1,1,1,1],[1,3,6,18,4,9,6,3,3,1,1,9,3,
6,12,6,12,8,12,3,6,3,1,2,3,6,6,6,6,6,6,3,6,1,4,4,4,1,3,3,3,3,3,3,2,1,2,4,3,1,
1,1,1],[1,7,2,18,4,7,1,9,24,12,6,12,8,4,8,1,3,6,8,12,12,6,6,6,3,1,4,4,4,1,3,3,
3,3,3,3,2,1,2,4,3,1,1,1,1],[1,1,2,24,4,1,6,6,12,16,12,6,12,8,4,8,8,3,4,3,24,6,
6,6,3,1,4,4,4,1,6,3,6,3,2,1,2,4,3,1,1,1,1],[1,1,14,12,4,7,6,28,12,6,12,8,4,8,
8,7,3,24,12,6,3,1,4,4,4,1,6,3,6,3,2,1,2,4,3,1,1,1,1],[1,1,2,24,4,1,12,4,12,12,
12,6,12,8,4,8,8,3,3,4,12,12,6,6,6,3,1,4,4,4,1,6,3,6,3,2,1,2,4,3,1,1,1,1],[1,
15,12,4,35,18,18,8,12,15,3,36,9,1,4,4,4,1,9,9,2,3,4,3,1,1,1,1],[1,3,24,4,1,4,
12,24,12,6,12,8,12,3,3,12,6,6,12,12,3,6,1,4,4,4,1,3,6,3,6,2,3,4,3,1,1,1,1],[1,
3,24,4,1,4,12,24,12,6,12,8,12,3,3,12,6,6,12,12,3,6,1,4,4,4,1,3,6,3,6,2,3,4,3,
1,1,1,1],[1,3,2,18,4,1,1,9,12,12,28,4,12,8,8,3,7,8,3,1,3,3,9,3,3,1,4,4,4,1,1,
1,3,3,3,3,1,2,2,4,1,1,1,1,1],[1,3,14,6,4,1,7,3,12,28,12,4,12,8,8,7,3,8,3,4,12,
6,1,4,4,4,1,1,1,6,6,1,2,2,4,1,1,1,1,1],[1,15,2,6,4,35,1,3,12,12,4,12,8,15,3,3,
8,4,12,6,1,4,4,4,1,1,1,6,6,3,2,4,1,1,1,1,1],[1,3,12,16,1,6,12,16,3,6,3,6,3,6,
4,1,3,3,4,3,1,1],[1,3,12,4,1,6,12,8,12,3,6,3,6,4,3,6,4,4,4,1,3,3,6,6,1,4,3,1,
1,1,1],[1,1,2,12,4,1,6,12,8,4,8,3,6,3,6,3,4,6,4,4,4,1,3,3,6,6,1,4,3,1,1,1,1],[
1,3,2,6,4,1,1,3,10,12,8,1,3,3,3,3,3,6,3,10,4,4,4,1,3,1,1,3,3,3,1,4,1,1,1,1,
1],[1,15,35,8,15,8,1,1,1],[1,1,14,7,28,8,8,7,8,1,1,1],[1,25,10,5,15,15,6,20,
10,15,6,5,10,6,5,1,1],[1,25,10,5,15,15,6,20,10,15,6,5,10,6,5,1,1],[1,10,15,10,
15,5,15,6,10,10,10,15,6,5,10,6,5,1,1],[1,15,14,42,35,7,21,84,84,28,84,112,28,
15,8,56,7,21,28,56,56,21,21,56,28,84,84,84,42,42,84,42,56,1,1,7,7,7,7,7,7,21,
28,21,21,14,42,14,42,42,84,42,42,42,42,42,84,84,84,56,168,168,168,7,21,28,7,
21,21,28,84,84,84,42,42,42,84,56,7,7,21,28,1],[1,15,14,42,35,7,21,84,84,14,14,
42,42,168,168,28,15,2,42,48,56,84,112,168,42,42,42,42,56,56,168,168,168,21,21,
56,28,84,42,1,14,14,42,42,168,168,7,21,84,84,7,7,42,42,42,42,7,7,14,42,14,42,
21,1,7,7,1],[1,3,26,18,24,1,13,9,36,36,36,72,6,6,36,18,18,36,8,24,36,72,72,
144,4,24,8,9,9,18,18,24,36,36,36,36,72,72,72,72,144,9,18,18,72,6,24,24,24,48,
72,72,144,72,72,72,4,12,48,24,24,6,12,24,1,3,3,4,12,24,36,36,72,72,18,18,36,
72,72,9,2,18,72,72,1,6,6,12,6,12,24,24,6,12,24,24,6,12,1,6,9,12,36,6,6,8,24,6,
12,3,6,12,1,3,4,3,4,1],[1,3,18,26,24,1,9,13,36,36,36,72,6,6,12,18,18,44,16,8,
24,36,72,72,144,4,8,16,8,3,11,4,18,18,24,36,36,36,36,72,72,72,72,144,9,18,18,
72,6,24,24,24,48,72,72,144,72,72,72,4,8,4,16,32,8,8,16,16,2,4,4,8,8,16,1,3,3,
4,12,24,36,36,72,72,18,18,36,72,72,9,2,18,72,72,1,2,4,2,4,4,8,2,4,4,8,8,8,16,
16,2,4,4,8,8,8,16,16,2,4,4,8,1,2,4,9,12,36,6,2,4,8,8,16,2,4,4,8,1,2,2,4,4,8,1,
1,2,4,1,2,4,1],[1,7,14,50,7,7,25,92,84,14,14,42,42,16,168,168,4,8,16,1,2,42,
48,56,84,112,168,4,42,42,42,42,8,56,56,168,168,168,21,23,56,8,4,4,16,16,32,16,
8,8,4,8,16,4,8,2,14,14,42,42,168,168,1,7,21,84,84,7,2,1,4,4,4,16,16,4,4,8,8,8,
8,2,2,8,8,16,16,2,8,8,2,4,4,4,4,4,2,1,7,14,42,2,2,8,8,16,4,4,8,4,2,2,8,4,4,1,
1,1,4,2,1,4,2,1],[1,3,18,18,32,1,9,9,36,40,40,72,6,6,12,18,18,36,8,24,40,72,
72,144,16,4,4,4,16,3,9,18,18,24,36,36,36,36,72,72,72,72,144,9,20,18,72,4,4,6,
4,24,24,24,48,72,72,144,72,72,72,4,4,4,4,4,8,8,8,4,16,16,16,16,2,2,4,4,2,4,8,
8,8,3,3,4,12,24,36,36,72,72,18,18,36,72,72,1,9,2,18,72,72,1,1,1,4,2,2,2,2,2,2,
4,4,4,4,8,8,8,8,4,8,4,8,2,2,4,2,2,2,2,4,4,4,4,8,8,8,8,8,4,8,1,1,1,4,9,12,36,6,
2,2,2,2,4,4,4,4,8,8,4,8,4,1,1,1,2,2,4,4,2,4,1,1,2,2,2,1,2,2,2,1],[1,7,18,30,
24,7,9,15,36,60,36,36,72,6,6,12,18,18,36,24,24,8,24,36,72,72,144,12,12,1,3,9,
18,6,18,6,24,8,8,24,24,24,36,36,36,36,72,72,72,72,144,15,9,24,18,18,72,6,24,
24,24,48,72,72,144,72,72,72,12,12,24,12,12,24,24,24,48,6,6,6,6,6,6,48,3,3,3,
12,12,4,12,24,36,36,72,72,18,18,36,72,72,3,9,2,18,72,72,3,3,12,12,12,6,6,12,6,
12,6,6,6,12,12,6,6,12,6,6,6,12,12,12,48,48,6,12,12,48,48,3,3,3,3,12,12,24,12,
12,1,9,12,36,6,2,6,6,12,2,6,6,6,6,12,6,12,6,12,3,1,6,6,6,6,3,3,1],[1,3,22,30,
24,1,9,9,12,48,36,36,72,12,6,12,30,24,36,48,24,8,24,36,72,72,144,12,12,1,9,16,
6,8,24,3,9,24,18,6,24,12,24,12,12,36,36,36,36,72,72,72,72,144,9,4,18,18,72,6,
24,24,24,48,72,72,144,72,72,72,12,12,12,12,24,24,12,12,12,12,24,24,6,6,24,6,6,
6,6,24,3,3,6,12,3,3,6,4,12,24,36,36,72,72,18,18,36,72,72,9,2,18,72,72,3,3,6,
12,12,6,6,6,6,6,12,12,6,6,6,6,24,24,6,6,6,6,12,12,12,12,12,12,24,24,24,24,6,6,
6,6,24,24,3,3,3,3,6,6,12,12,24,6,6,9,12,36,1,6,2,2,6,6,6,6,6,6,12,12,6,6,12,
12,3,1,6,6,6,6,3,3,1],[1,7,18,46,8,7,9,23,84,92,4,4,8,14,14,4,42,42,12,168,
168,12,16,16,32,4,4,8,8,1,2,42,48,56,84,112,168,1,3,42,42,42,42,8,56,56,168,
168,168,4,4,4,4,8,8,8,8,16,23,21,56,2,2,8,2,16,16,16,4,4,8,4,4,8,8,8,8,16,16,
8,8,8,8,16,16,8,8,8,16,2,2,4,4,16,2,2,2,2,4,4,4,4,16,16,14,14,42,42,168,168,1,
7,21,84,84,2,2,4,8,8,7,1,4,1,2,2,4,8,8,1,4,4,4,4,2,2,4,4,4,4,4,2,2,4,4,4,4,4,
4,4,4,4,16,16,4,4,4,4,8,8,8,8,8,8,16,16,16,16,2,2,4,4,2,2,4,2,2,2,4,4,4,4,4,
16,16,4,4,16,16,2,4,4,16,16,2,2,2,2,4,4,8,8,16,4,1,1,1,1,4,4,4,8,4,4,7,1,14,
42,4,4,4,4,2,2,2,2,4,4,2,2,2,2,4,4,4,4,4,4,2,4,4,4,2,4,4,4,4,4,1,2,1,2,2,2,2,
4,4,4,4,1,2,1,2,1],[1,15,2,6,24,35,1,3,12,12,12,12,24,36,32,4,36,15,3,3,8,6,6,
24,8,8,6,8,4,12,24,24,72,18,6,6,24,6,24,8,1,1,2,3,1,3,6,6,2,12,18,6,12,6,6,6,
6,12,12,24,18,24,24,24,1,3,6,6,6,3,4,12,6,6,6,12,12,1,3,3,4,4,1],[1,3,14,30,1,
7,15,24,12,28,12,32,24,24,4,12,24,8,7,3,8,6,6,16,8,24,3,6,4,12,48,24,24,24,6,
12,6,6,6,24,24,8,1,1,2,3,3,6,1,6,2,12,6,12,6,12,6,12,6,6,12,24,24,6,6,12,24,
24,1,3,6,6,6,3,4,12,6,6,6,12,12,1,3,3,4,4,1],[1,3,6,38,1,3,19,24,12,4,20,48,
24,24,4,12,8,16,8,1,5,12,6,6,16,8,24,3,6,4,8,4,16,32,24,24,24,2,4,4,8,6,6,6,
24,8,16,8,1,1,2,3,3,6,1,2,4,2,4,8,2,4,4,8,2,4,4,8,2,4,4,8,6,6,12,24,24,2,4,6,
12,24,24,1,3,6,2,4,2,4,1,2,4,12,2,4,2,4,6,4,8,4,8,1,1,2,1,2,4,4,1],[1,7,6,34,
7,3,17,36,20,4,28,48,8,8,16,8,8,8,1,16,1,7,12,2,2,16,8,8,5,9,8,4,28,20,28,16,
16,8,8,8,6,10,20,4,4,4,2,2,8,8,8,8,8,2,1,2,1,1,1,2,4,2,2,2,1,2,2,4,4,2,2,2,2,
2,1,4,4,4,2,2,2,4,4,2,1,4,10,16,4,4,6,2,2,2,4,6,6,2,12,16,12,2,4,8,16,8,16,2,
4,1,2,1,1,1,2,2,2,2,2,1,1,1,4,8,4,2,2,1,2,1,2,2,2,4,2,4,4,2,2,2,2,2,2,2,1,1,1,
1,1,1,1,2,2,2,2,1],[1,7,14,26,7,7,13,20,36,28,36,16,8,8,16,8,8,8,1,8,8,7,9,4,
2,2,24,8,9,5,8,12,20,36,12,16,16,8,8,8,18,6,12,4,4,4,2,2,8,8,8,8,8,1,1,3,1,1,
1,3,3,2,2,3,2,2,4,4,2,2,2,2,2,1,4,4,4,2,2,2,4,4,2,1,18,12,4,4,2,6,2,2,4,6,6,
18,12,12,2,4,24,24,3,3,1,3,1,1,2,2,2,2,2,1,1,1,4,12,2,2,1,2,1,2,2,6,2,4,4,2,2,
2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,7,6,26,8,7,3,13,28,20,4,4,8,4,28,48,12,
20,4,4,4,8,1,16,1,7,12,16,8,5,7,8,2,2,8,2,4,20,8,20,28,8,8,16,8,16,6,10,20,2,
2,4,8,8,2,2,2,18,8,2,1,2,1,1,2,1,2,4,2,1,2,2,2,2,2,4,4,1,1,2,2,2,2,2,2,2,4,2,
2,4,4,4,4,10,16,4,2,2,4,4,6,6,2,12,16,12,2,2,4,2,4,8,16,8,16,2,4,1,2,1,1,1,2,
2,2,2,2,1,1,1,4,8,4,1,1,2,2,2,2,2,2,4,4,2,2,4,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,
2,1],[1,7,2,14,24,7,1,7,20,12,12,12,24,16,36,32,12,12,16,1,4,8,3,5,8,6,6,24,8,
8,6,8,8,24,4,4,32,24,24,16,4,8,16,6,6,6,14,24,8,1,1,2,3,2,3,6,1,4,2,8,4,4,4,2,
2,8,8,4,4,2,6,6,12,12,24,2,4,4,8,6,4,24,24,24,3,6,1,4,2,2,4,1,2,4,12,4,2,2,4,
6,4,8,4,8,1,1,2,1,2,4,4,1],[1,15,6,18,8,35,3,9,36,36,4,4,8,4,12,16,12,12,12,4,
4,8,15,1,3,4,8,8,9,9,24,2,2,8,2,12,36,8,12,12,8,8,16,24,6,6,12,2,2,4,8,8,6,2,
2,8,18,8,1,1,1,3,1,3,1,2,3,3,2,2,2,2,2,4,4,1,1,2,2,2,2,2,4,2,2,4,6,2,4,18,18,
2,4,4,6,6,6,12,12,12,2,2,4,6,24,24,3,1,3,3,1,1,2,2,2,2,2,1,1,1,4,12,1,1,2,2,2,
2,2,6,4,2,2,4,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,15,2,6,35,1,3,12,12,4,
12,12,24,15,3,3,8,4,12,6,6,12,24,24,6,8,8,1,1,1,6,6,2,2,6,6,3,3,6,6,6,6,6,1,3,
3,6,6,6,6,1,3,3,1],[1,3,14,6,1,7,3,12,28,12,16,12,24,8,7,3,8,3,4,12,6,12,6,6,
24,24,8,8,1,1,1,6,6,2,2,6,6,6,3,6,6,3,6,6,1,3,3,6,6,6,6,1,3,3,1],[1,3,6,14,1,
3,7,12,4,20,16,16,12,8,8,8,8,1,5,4,8,3,4,8,4,2,4,4,4,4,6,6,8,8,8,24,8,8,1,1,1,
2,2,2,6,2,2,6,6,2,2,2,3,6,2,2,2,3,2,4,2,4,1,3,1,1,1,2,2,2,2,2,2,6,6,1,1,1,1,1,
1,1,1],[1,7,2,14,7,1,7,20,12,16,12,8,12,12,8,1,4,8,3,5,8,8,4,4,4,6,6,4,8,24,4,
8,14,8,8,1,1,2,2,1,6,2,2,2,6,6,3,3,2,2,6,2,2,2,2,2,2,4,4,1,1,3,1,1,2,2,2,2,2,
2,6,6,1,1,1,1,1,1,1,1],[1,15,6,18,16,35,3,9,36,36,12,12,24,4,12,24,12,12,24,
12,24,15,9,9,24,6,6,24,4,12,4,4,8,12,12,24,12,12,12,12,36,24,48,12,12,12,24,
12,6,6,24,18,24,12,1,3,3,1,3,12,12,3,3,6,6,3,3,3,6,12,3,6,6,12,6,12,9,18,18,6,
12,12,12,3,6,6,24,24,12,12,3,3,6,1,3,4,6,3,3,3,6,6,1,3,3,3,6,2,6,3,6,6,6,9,3,
3,12,6,6,6,6,6,6,1,3,3,3,3,3,3,6,6,1],[1,3,10,34,8,1,3,11,20,24,4,4,2,4,4,8,
10,20,16,40,48,4,16,16,4,8,16,8,4,8,4,8,12,16,20,1,5,4,2,6,4,4,8,4,8,16,20,20,
4,4,8,3,2,4,2,8,4,4,8,4,4,4,8,16,16,8,8,4,4,8,32,8,4,4,16,8,8,2,4,4,8,8,8,2,4,
2,4,4,8,8,8,8,8,4,8,1,1,2,1,8,12,1,1,4,2,2,1,2,1,2,2,2,2,2,2,2,2,1,1,3,4,2,4,
2,2,4,2,2,2,2,2,8,4,2,4,6,2,4,3,1,4,2,4,2,2,4,4,2,2,8,8,8,8,8,8,8,8,8,1,2,4,2,
4,2,4,4,2,2,4,2,2,8,4,8,8,8,4,4,1,2,2,2,2,1,2,1,2,2,2,2,1,3,1,4,1,4,2,2,2,2,2,
2,1,1,2,2,2,1,2,1,2,2,2,2,2,2,1,2,2,2,2,2,4,4,2,1,3,2,6,1,2,2,2,2,2,4,2,4,2,2,
2,4,2,2,2,2,2,2,2,2,2,2,1,1,2,1,2,1,2,1,2,1,2,1,2,2,2,2,2,2,2,1],[1,3,18,26,8,
1,7,7,20,24,4,4,2,4,28,8,10,12,40,48,4,16,16,4,8,8,16,8,4,8,4,12,16,20,7,3,2,
6,4,4,8,4,8,16,20,20,4,4,8,3,2,4,2,8,4,4,12,4,4,16,8,8,16,4,8,8,4,8,32,4,4,8,
16,8,6,8,4,8,8,2,4,2,4,4,8,8,8,8,8,4,8,1,1,2,1,8,12,1,1,4,2,2,1,2,1,2,2,2,2,2,
2,2,2,1,3,1,4,4,2,2,2,2,4,2,2,2,2,2,2,4,6,4,8,4,1,3,4,2,2,4,6,2,8,4,2,8,8,8,8,
8,8,8,8,1,2,2,4,4,6,2,4,2,2,4,2,8,4,8,8,8,4,4,1,2,2,2,2,1,2,1,2,2,2,2,1,1,4,3,
1,2,4,2,2,2,2,2,1,1,2,2,2,1,2,1,2,2,2,2,2,2,1,2,2,2,2,2,2,4,4,3,1,2,6,1,2,2,2,
2,2,4,4,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,1,1,2,1,2,1,2,1,2,1,2,1,2,2,2,2,2,2,2,
1],[1,3,10,26,16,1,3,7,20,16,8,8,8,2,4,4,8,10,4,40,48,16,8,8,16,16,8,4,12,12,
4,8,4,12,16,20,1,1,2,6,4,4,4,8,16,20,20,2,2,2,2,4,4,1,2,4,4,2,8,4,4,2,4,4,4,2,
2,4,6,2,6,6,6,6,20,20,12,12,2,2,2,2,12,12,8,4,4,4,24,8,2,4,6,6,8,8,8,2,2,2,2,
2,2,4,4,8,4,8,4,4,4,1,2,1,8,12,1,4,2,1,1,1,1,1,1,1,1,1,1,1,2,1,2,2,2,2,1,1,1,
1,1,2,3,3,4,4,3,3,1,1,2,5,5,4,1,1,1,3,3,1,1,1,2,2,4,3,3,5,5,1,1,3,1,3,4,4,4,4,
4,4,4,4,2,2,4,1,1,1,1,5,5,3,3,3,3,8,8,6,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,
1,1,1,1,1,1,2,1,1,1,1,1,1,1,2,1,1,4,1,1,1,1,1,1,1,1,1,1,2,4,3,3,1,1,2,1,1,1,1,
1,1,2,1,1,2,2,2,2,2,1,1,1,2,2,1,1,2,2,3,3,1,1,4,3,3,1,1,1,1,1,2,1,1,2,3,3,2,2,
1,1,1,1,2,3,3,1,1,1,1,2,2,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1],[1,7,6,26,16,7,3,13,28,20,12,12,24,16,16,16,
4,12,24,12,12,24,20,16,1,4,4,4,8,16,5,7,8,6,6,24,4,12,4,4,8,12,12,24,12,12,12,
4,20,24,8,8,16,20,12,12,56,4,4,12,8,2,2,16,18,24,4,8,1,2,1,3,1,3,12,12,2,1,4,
3,2,6,2,1,1,5,10,8,6,4,7,10,6,2,2,12,5,4,2,6,4,4,8,8,4,4,4,8,8,16,16,4,5,6,14,
8,8,8,8,4,4,1,2,1,2,4,2,1,2,2,4,4,4,1,2,5,1,1,6,2,1,3,1,2,4,3,2,2,6,2,1,2,4,4,
2,6,1,3,8,2,1,4,6,6,2,4,8,2,2,4,4,4,2,1,2,1,1,2,1,2,1,2,2,1,1,2,2,2,2,4,2,1],[
1,15,2,6,8,35,1,3,12,12,4,4,8,12,4,12,8,8,16,15,3,3,8,2,2,8,2,4,12,8,24,4,4,8,
16,16,8,8,6,2,2,8,6,1,1,1,1,1,2,2,2,4,4,2,2,4,4,2,2,4,4,4,4,6,2,4,6,6,2,4,4,6,
1,1,2,2,2,2,2,1,2,2,2,4,4,4,4,4,4,1,1,1,2,2,1],[1,7,2,14,8,7,1,7,20,12,4,4,8,
16,12,12,20,8,8,1,4,8,3,5,8,2,2,8,2,8,8,4,4,8,16,4,4,4,16,8,8,10,2,2,16,14,1,
1,1,2,1,4,1,2,2,4,2,2,4,4,2,2,4,2,2,4,4,4,4,4,2,2,4,4,2,4,4,2,4,1,1,2,2,1,2,2,
2,2,2,2,4,4,4,4,4,4,1,1,1,2,2,1],[1,7,6,10,8,7,3,5,12,20,4,4,8,4,12,12,12,20,
4,4,8,1,1,3,8,5,3,8,2,2,8,2,4,4,8,4,4,8,8,8,2,2,2,2,4,8,8,10,2,2,16,14,16,1,1,
1,2,1,4,1,2,2,4,2,2,4,4,1,1,2,2,2,2,2,2,2,2,2,4,4,4,2,2,4,4,2,2,2,4,2,2,2,1,1,
1,1,2,1,2,1,1,2,2,1,1,2,2,2,4,4,2,2,4,4,1,1,1,1,1,1,1,1],[1,3,6,22,1,3,11,8,
12,4,20,16,8,8,12,12,8,16,8,1,5,4,2,2,8,8,3,2,4,8,4,16,8,8,2,12,8,4,6,2,2,8,4,
8,16,16,1,1,1,1,2,1,4,2,2,4,2,4,2,4,4,2,2,4,4,4,4,2,4,2,2,4,4,2,2,4,2,4,4,1,1,
2,2,2,2,2,1,2,2,2,4,4,4,4,4,4,1,1,1,2,2,1],[1,3,14,14,1,7,7,8,12,28,12,8,8,12,
12,8,16,8,7,3,2,2,8,8,3,2,4,12,16,8,8,6,8,4,8,6,2,2,8,4,8,16,16,1,1,1,1,2,1,2,
4,2,4,2,4,2,4,2,4,2,4,4,4,2,4,4,2,6,4,2,2,4,6,4,1,1,2,2,2,2,1,2,2,2,2,4,4,4,4,
4,4,1,1,1,2,2,1],[1,3,6,22,1,3,11,8,12,4,20,16,8,8,12,12,8,16,8,1,5,4,2,2,8,8,
3,2,4,8,4,16,8,8,2,12,4,8,6,2,2,8,4,8,16,16,1,1,1,1,2,1,2,4,2,4,2,4,2,4,2,4,2,
4,4,4,2,4,4,2,2,4,4,2,2,4,2,4,4,1,1,2,2,2,2,1,2,2,2,2,4,4,4,2,2,2,2,4,1,1,1,1,
1,1,1,1],[1,7,2,14,8,7,1,7,20,12,4,4,8,16,12,12,4,8,8,16,1,4,8,3,5,8,2,2,8,2,
8,8,4,4,16,8,4,4,4,8,16,16,8,8,2,2,2,14,1,1,1,2,1,1,2,2,4,4,2,2,4,4,2,2,4,4,4,
2,2,4,4,4,2,2,4,4,2,4,4,4,2,1,1,2,2,1,2,2,2,2,2,2,4,4,4,4,2,2,2,2,1,1,1,1,1,1,
1,1],[1,7,6,18,7,3,9,20,20,4,12,8,8,8,8,8,16,8,1,1,3,2,2,8,8,5,5,8,4,12,4,4,8,
8,8,2,2,8,4,4,16,4,2,2,4,8,16,8,8,1,1,1,1,4,2,2,1,4,2,2,2,4,4,4,2,2,4,2,1,4,2,
4,2,2,2,1,2,2,2,2,4,2,2,2,4,2,4,1,1,1,1,2,1,2,2,1,1,2,1,2,1,2,2,4,4,2,4,4,2,1,
1,1,1,1,1,1,1],[1,7,6,18,7,3,9,20,20,4,12,8,8,8,8,8,24,1,1,3,2,2,8,8,5,5,8,4,
12,4,4,8,8,8,2,2,4,12,16,4,2,2,4,8,24,8,1,1,1,1,2,6,1,4,2,2,2,4,4,2,4,6,2,1,4,
2,2,6,2,1,2,2,2,2,4,2,2,2,4,2,4,1,1,1,1,2,1,2,1,3,2,1,2,1,2,2,8,2,4,4,2,1,1,1,
1,1,1,1,1],[1,7,6,10,8,7,3,5,12,20,4,4,8,4,12,12,12,4,4,4,24,1,1,3,8,5,3,8,2,
2,8,2,4,4,8,4,4,8,8,8,2,2,2,2,12,24,8,2,2,2,14,16,1,1,1,2,1,4,1,2,6,2,2,4,4,1,
1,6,6,2,2,2,2,2,2,2,4,2,2,4,4,2,2,2,4,2,2,2,1,1,1,1,2,1,1,3,2,2,1,1,2,2,2,8,4,
4,2,2,1,1,1,1,1,1,1,1],[1,7,10,22,8,7,5,11,36,44,4,4,8,2,2,4,6,6,12,24,24,12,
16,16,32,4,4,32,1,1,3,6,6,6,6,8,8,8,24,24,24,4,4,4,4,8,8,8,8,16,11,9,24,2,2,8,
2,16,16,16,4,4,8,4,4,8,8,8,16,2,2,16,32,2,2,2,2,16,1,1,3,12,12,2,2,4,8,8,3,1,
4,1,1,4,4,8,4,8,8,16,16,2,2,4,4,2,2,4,2,2,2,4,4,4,16,16,2,4,4,16,16,1,1,1,1,4,
4,8,4,4,1,1,4,8,1,4,4,8,2,2,2,1,1],[1,7,10,22,8,7,5,11,36,44,4,4,8,2,2,4,6,6,
12,24,24,12,16,16,32,4,4,16,16,1,1,3,6,6,6,6,8,8,8,24,24,24,4,4,4,4,8,8,8,8,
16,11,9,24,2,2,8,2,16,16,16,4,4,8,4,4,8,8,8,16,2,2,8,8,2,2,2,2,16,16,16,1,1,3,
12,12,2,2,4,8,8,3,1,4,1,4,4,1,4,4,4,4,4,4,4,8,8,8,8,2,2,4,4,2,2,4,2,2,2,4,4,4,
16,16,2,4,4,16,16,1,1,1,1,4,4,8,4,4,1,1,2,2,4,4,1,4,8,4,1,1,2,2,1,1],[1,7,10,
22,8,7,5,11,36,44,4,4,8,2,2,4,6,6,12,24,24,12,16,16,32,4,4,16,16,1,1,3,6,6,6,
6,8,8,8,24,24,24,4,4,4,4,8,8,8,8,16,11,9,24,2,2,8,2,16,16,16,4,4,8,4,4,8,8,8,
16,2,2,8,8,2,2,2,2,16,16,16,1,1,3,12,12,2,2,4,8,8,3,1,4,1,4,4,1,4,4,4,4,4,4,4,
16,16,2,2,4,4,2,2,4,2,2,2,4,4,4,16,16,2,4,4,16,16,1,1,1,1,4,4,8,4,4,1,1,2,2,8,
1,4,4,4,4,2,1,1,2,1,1],[1,7,10,22,8,7,5,11,36,44,4,4,8,2,2,4,6,6,12,24,24,12,
16,16,32,20,4,16,1,1,3,6,6,6,6,8,8,8,24,24,24,4,4,4,4,8,8,8,8,16,11,9,24,2,2,
8,2,16,16,16,4,4,8,4,4,8,8,8,16,2,2,8,16,2,2,2,26,16,1,1,3,12,12,2,2,4,8,8,3,
1,4,4,1,1,4,4,4,4,4,4,12,12,8,8,2,2,4,4,2,2,4,2,2,2,4,4,4,16,16,2,4,4,16,16,1,
1,1,1,4,4,8,4,4,1,1,6,2,4,1,8,4,4,1,1,2,2,1,1],[1,3,14,22,8,1,5,5,12,32,4,4,8,
8,2,4,18,12,12,48,24,12,16,16,32,20,4,16,1,9,16,6,8,24,1,3,12,6,6,8,12,24,12,
12,4,4,4,4,8,8,8,8,16,5,4,2,2,8,2,16,16,16,4,4,4,4,8,8,4,4,4,4,8,8,2,10,8,2,2,
2,2,16,8,8,8,8,3,3,6,12,1,1,6,2,2,4,8,8,1,4,1,1,4,2,4,4,2,4,4,4,4,4,4,4,4,8,8,
4,2,2,2,2,8,8,2,2,2,2,4,4,4,4,4,4,8,8,8,8,2,2,2,2,8,8,1,1,1,1,2,2,4,4,8,2,2,1,
1,2,2,2,4,2,1,4,4,8,1,1,2,2,1,1],[1,3,14,22,8,1,5,5,12,32,4,4,8,8,2,4,18,12,
12,48,24,12,16,16,32,4,4,16,16,1,9,16,6,8,24,1,3,12,6,6,8,12,24,12,12,4,4,4,4,
8,8,8,8,16,5,4,2,2,8,2,16,16,16,4,4,4,4,8,8,4,4,4,4,8,8,2,2,8,8,2,2,2,2,8,16,
8,8,8,3,3,6,12,1,1,6,2,2,4,8,8,1,4,1,1,2,4,4,4,2,4,4,4,4,4,4,4,4,8,8,4,2,2,2,
2,8,8,2,2,2,2,4,4,4,4,4,4,8,8,8,8,2,2,2,2,8,8,1,1,1,1,2,2,4,4,8,2,2,1,1,2,2,2,
4,2,1,4,4,8,1,1,2,2,1,1],[1,7,10,22,8,7,5,11,36,44,4,4,8,2,2,4,6,6,12,24,24,
12,16,16,32,4,4,32,1,1,3,6,6,6,6,8,8,8,24,24,24,4,4,4,4,8,8,8,8,16,11,9,24,2,
2,8,2,16,16,16,4,4,8,4,4,8,8,8,16,2,2,2,2,2,2,16,16,16,16,1,1,3,12,12,2,2,4,8,
8,3,1,4,1,1,4,4,4,8,8,8,8,8,8,8,2,2,4,4,2,2,4,2,2,2,4,4,4,16,16,2,4,4,16,16,1,
1,1,1,4,4,8,4,4,1,1,4,4,4,1,8,4,4,2,2,2,1,1],[1,7,10,22,8,7,5,11,36,44,4,4,8,
2,2,4,6,6,12,24,24,12,16,16,32,4,20,16,1,1,3,6,6,6,6,8,8,8,24,24,24,4,4,4,4,8,
8,8,8,16,11,9,24,2,2,8,2,16,16,16,4,4,8,4,4,8,8,8,16,2,2,8,16,10,2,2,16,2,16,
1,1,3,12,12,2,2,4,8,8,3,1,4,1,4,1,4,4,4,4,4,4,16,16,4,4,2,2,4,4,2,2,4,2,2,2,4,
4,4,16,16,2,4,4,16,16,1,1,1,1,4,4,8,4,4,1,1,2,8,2,1,4,4,4,4,2,1,1,2,1,1],[1,7,
14,18,7,7,9,12,36,28,36,16,20,8,16,1,8,8,7,9,4,24,9,3,8,12,12,36,12,18,6,12,8,
16,4,8,18,16,16,8,1,1,3,1,2,2,3,3,4,3,4,4,2,4,4,4,4,4,4,2,2,4,4,2,2,18,12,6,6,
6,18,12,12,24,24,3,3,3,1,2,2,2,1,4,12,2,2,6,4,8,4,4,4,4,4,1,1,1,2,2,2,2,4,1],[
1,7,6,26,7,3,13,28,20,4,28,48,20,8,8,8,1,16,1,7,12,16,8,5,7,8,4,20,20,28,6,10,
20,4,4,16,4,8,18,8,8,16,8,2,1,2,1,2,2,2,4,2,2,2,1,4,4,2,4,4,4,4,2,2,4,2,2,4,2,
2,2,2,4,10,16,4,2,6,6,2,12,16,12,8,16,8,16,2,4,2,1,1,2,2,1,1,1,4,8,4,2,2,2,4,
4,4,4,4,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,15,6,18,35,3,9,36,36,4,12,16,12,8,8,16,
15,1,3,4,8,8,9,9,24,12,36,12,12,6,6,12,4,4,8,16,16,18,8,8,16,8,1,1,1,3,3,2,2,
4,3,3,4,4,2,4,4,4,4,2,2,4,4,4,2,2,4,18,18,6,6,6,12,12,12,24,24,3,3,3,2,2,1,1,
2,4,12,2,2,6,4,4,8,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,7,10,22,8,7,5,11,36,44,4,4,8,
2,2,4,6,6,12,24,24,12,16,16,32,4,4,1,1,3,6,6,6,6,8,8,8,24,24,24,4,4,4,4,8,8,8,
8,16,11,9,24,2,2,8,2,16,16,16,4,4,8,4,4,8,8,8,16,2,2,2,2,2,2,16,16,1,1,3,12,
12,2,2,4,8,8,3,1,4,1,1,4,4,4,2,2,4,4,2,2,4,2,2,2,4,4,4,16,16,2,4,4,16,16,8,8,
8,1,1,1,1,4,4,8,4,4,1,1,1,4,4,4,4,4,8,1,2,2,2,1],[1,3,18,10,8,1,9,5,20,4,4,8,
2,2,28,6,6,12,12,16,16,32,12,8,8,16,8,7,3,6,6,8,4,4,4,4,8,8,8,8,16,5,2,2,8,2,
16,16,16,4,12,16,8,8,10,4,4,8,4,4,4,4,8,16,32,1,1,1,2,2,4,8,8,1,4,2,1,2,4,2,8,
8,8,2,4,2,4,2,4,2,4,4,8,8,2,4,2,6,4,8,8,6,4,1,2,1,2,2,4,2,4,1,2,2,4,2,4,2,4,4,
1,1,2,1,2,1],[1,3,10,18,8,1,5,9,20,4,4,8,2,2,4,6,6,20,16,12,16,16,32,12,8,16,
8,8,1,5,4,6,6,8,4,4,4,4,8,8,8,8,16,5,2,2,8,2,16,16,16,4,8,4,16,8,8,6,4,4,4,8,
4,4,4,4,16,8,32,1,1,1,2,2,4,8,8,1,4,2,1,2,4,2,8,8,8,2,4,2,4,2,4,2,4,4,8,8,2,4,
2,2,4,4,8,8,2,4,4,1,2,1,2,2,4,2,4,1,2,2,4,2,4,2,4,4,1,1,2,1,2,1],[1,3,10,18,8,
1,5,9,20,4,4,8,2,2,4,6,6,20,16,12,16,16,32,12,8,8,16,8,1,5,4,6,6,8,4,4,4,4,8,
8,8,8,16,5,2,2,8,2,16,16,16,4,8,4,16,8,8,6,4,4,4,8,4,4,4,4,8,16,32,1,1,1,2,2,
4,8,8,1,4,2,1,2,4,2,8,8,8,2,4,2,4,2,4,2,4,4,8,8,2,4,2,2,4,4,8,8,2,4,4,1,2,1,2,
2,4,2,4,1,2,2,4,2,4,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,7,6,26,7,3,13,44,36,2,2,6,6,
16,24,24,20,8,8,8,1,4,6,6,6,6,8,8,8,24,24,24,9,11,24,8,4,4,16,8,8,4,4,4,16,4,
8,26,4,4,4,4,16,1,1,3,12,12,3,4,2,2,2,4,8,8,1,4,2,2,4,12,12,4,4,2,2,4,2,2,2,8,
8,2,4,4,4,4,2,1,1,2,2,4,6,2,2,4,4,2,1,2,4,4,1,1,2,1,2,1],[1,15,6,18,35,3,9,36,
36,2,2,6,6,24,24,12,8,8,16,15,6,6,6,6,8,8,24,24,24,9,9,24,12,36,4,4,8,16,16,
18,4,4,4,4,16,1,1,3,12,12,3,3,2,2,4,8,8,4,4,2,2,4,4,4,6,6,2,2,4,8,8,18,18,3,1,
2,6,3,2,2,4,4,2,4,2,4,4,1,1,2,1,2,1],[1,7,6,26,7,3,13,44,36,2,2,6,6,16,24,24,
4,8,8,8,16,1,4,6,6,6,6,8,8,8,24,24,24,9,11,24,8,4,4,8,8,16,4,4,4,8,16,16,4,8,
2,4,4,4,4,16,1,1,3,12,12,3,2,2,2,4,8,8,1,4,4,2,2,4,4,4,8,8,2,2,4,4,4,2,2,4,4,
8,8,2,2,4,4,2,1,1,2,2,4,2,2,4,4,4,2,2,1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,10,10,
16,1,5,5,20,8,8,8,2,2,4,6,6,12,16,16,16,32,16,4,12,12,16,1,3,6,6,8,4,4,4,4,8,
8,8,8,16,5,4,2,8,4,4,2,4,16,16,16,4,4,4,4,4,8,8,8,4,6,6,8,16,4,4,2,4,4,4,4,16,
16,4,1,1,2,2,4,8,8,1,1,4,1,2,2,4,4,8,8,1,1,4,4,2,2,2,2,2,2,4,2,2,2,2,8,4,8,4,
2,2,4,2,2,2,2,4,4,4,4,4,1,1,1,1,2,2,2,2,1,1,1,2,2,2,4,4,4,2,4,4,1,1,2,1,2,1],[
1,3,10,10,16,1,5,5,20,8,8,8,2,2,4,6,6,12,16,16,16,32,16,4,28,12,1,3,6,6,8,4,4,
4,4,8,8,8,8,16,5,4,2,8,4,4,2,4,16,16,16,4,4,4,4,4,8,8,8,4,6,14,16,4,4,2,4,4,4,
4,16,16,4,1,1,2,2,4,8,8,1,1,4,1,2,2,4,4,8,8,1,1,4,4,2,2,2,2,2,2,4,2,2,2,2,4,8,
4,8,2,2,4,2,2,2,2,4,4,4,4,4,1,1,1,1,2,2,2,2,1,1,1,2,2,2,4,4,4,2,4,4,1,1,2,1,2,
1],[1,3,10,18,8,1,5,9,20,4,4,8,2,2,4,6,6,20,16,12,16,16,32,4,8,16,16,8,1,5,4,
6,6,8,4,4,4,4,8,8,8,8,16,5,2,2,8,2,16,16,16,4,8,4,16,8,8,2,4,8,4,16,4,4,4,4,8,
16,8,8,8,1,1,1,2,2,4,8,8,1,4,1,2,2,2,4,8,8,4,4,2,4,4,4,4,4,4,2,4,2,2,2,2,4,4,
4,2,4,4,8,8,2,4,4,1,2,1,2,2,4,2,2,1,2,2,2,4,4,2,2,4,4,1,1,2,1,2,1],[1,3,18,10,
8,1,9,5,20,4,4,8,2,2,28,6,6,12,12,16,16,32,4,16,8,16,8,7,3,6,6,8,4,4,4,4,8,8,
8,8,16,5,2,2,8,2,16,16,16,4,12,16,8,8,6,4,8,16,4,4,4,4,8,16,8,8,8,1,1,1,2,2,4,
8,8,1,4,1,2,2,2,4,8,8,4,4,2,4,4,4,4,4,4,2,4,2,2,2,2,4,4,4,6,4,8,8,6,4,1,2,1,2,
2,4,2,2,1,2,2,2,4,4,2,2,4,4,1,1,2,1,2,1],[1,7,6,26,7,3,13,44,36,2,2,6,6,16,24,
24,4,8,8,8,16,1,4,6,6,6,6,8,8,8,24,24,24,9,11,24,8,4,4,16,8,8,4,4,4,8,16,16,4,
8,2,4,4,4,4,16,1,1,3,12,12,3,2,2,2,4,8,8,1,4,4,2,2,4,4,4,4,4,2,2,4,8,8,2,2,2,
8,8,2,4,4,4,4,2,1,1,2,2,4,2,2,2,4,4,2,4,1,2,4,4,1,1,2,1,2,1],[1,3,10,10,16,1,
5,5,20,8,8,8,2,2,4,6,6,12,16,16,16,32,16,8,12,4,4,16,1,3,6,6,8,4,4,4,4,8,8,8,
8,16,5,4,2,8,4,4,2,4,16,16,16,4,4,4,4,4,8,8,8,4,4,4,2,2,4,4,4,6,4,4,4,8,8,8,
32,1,1,2,2,4,8,8,1,1,4,2,1,2,1,1,8,8,8,4,2,2,2,2,2,2,2,4,4,4,4,2,4,4,2,4,2,4,
2,2,4,2,2,2,2,4,4,4,4,4,1,1,1,1,2,2,2,2,2,1,1,1,2,2,4,2,4,2,2,4,4,1,1,2,1,2,
1],[1,15,10,30,8,35,5,15,60,60,4,4,8,2,2,4,6,6,12,16,24,24,12,16,16,32,20,12,
15,1,3,4,6,6,6,6,8,8,8,8,24,24,24,4,4,4,4,8,8,8,8,16,15,15,40,2,2,8,2,16,16,
16,20,60,8,12,12,24,16,16,16,32,6,6,12,6,2,2,8,30,32,8,1,1,1,1,3,12,12,2,2,4,
8,8,5,1,4,5,1,2,3,3,4,4,8,2,4,8,4,6,6,4,8,8,6,2,4,30,30,2,4,4,2,2,4,8,8,6,6,6,
12,12,12,4,4,16,16,6,4,8,8,32,32,24,24,5,1,1,2,3,3,1,4,4,8,4,8,1,1,2,6,2,2,2,
2,4,2,2,4,8,4,3,2,2,4,1,1,4,12,2,2,2,4,2,2,4,6,4,8,8,4,4,8,4,4,4,1,1,2,1,1,1,
1,2,1,2,2,4,4,4,4,1],[1,7,10,22,24,7,5,11,36,44,12,12,24,2,2,4,6,6,12,24,24,
36,16,16,32,32,4,12,8,8,1,1,3,6,6,6,6,8,8,8,24,24,24,4,4,4,4,8,8,8,8,16,11,9,
24,6,6,24,8,8,6,8,16,16,16,4,4,24,4,4,8,8,8,8,16,16,16,16,24,24,8,8,16,2,2,4,
4,16,8,8,6,6,6,2,24,16,8,1,1,3,12,12,2,2,4,8,8,3,2,3,4,3,6,1,2,2,4,4,4,4,2,2,
2,4,4,4,2,2,4,4,4,4,4,4,4,4,4,4,2,6,6,12,12,24,2,2,4,2,2,2,4,4,4,4,4,4,4,16,
16,4,4,8,8,8,8,16,16,6,4,4,16,16,24,24,24,3,6,1,1,1,2,2,4,4,4,8,4,4,1,1,2,2,4,
4,4,4,4,4,4,4,2,2,2,2,2,2,4,1,4,12,2,2,2,4,4,2,2,6,4,4,4,4,4,4,4,4,4,4,4,4,2,
2,1,1,2,2,1,2,2,4,4,4,4,1],[1,7,10,38,8,7,5,19,52,44,4,4,8,2,2,4,6,6,12,32,40,
40,12,16,16,32,12,20,1,1,3,8,6,10,6,10,16,8,8,8,24,40,24,4,4,4,4,8,8,8,8,16,
11,13,24,2,2,8,2,16,16,16,4,20,24,12,12,8,40,32,32,32,2,2,8,10,6,6,32,6,32,8,
1,2,1,5,12,12,2,2,4,8,8,3,1,4,3,8,2,1,4,4,8,2,2,2,4,8,4,2,12,8,4,6,4,4,4,2,6,
4,4,6,6,12,32,32,6,2,2,8,8,4,4,4,32,32,2,10,16,8,16,16,24,24,1,3,8,2,1,1,4,4,
8,8,4,1,1,2,6,4,4,4,4,4,8,2,2,2,4,2,4,1,4,12,2,2,4,2,4,2,2,6,4,8,4,8,4,8,4,4,
4,2,2,1,1,2,2,1,2,2,4,4,4,4,1],[1,7,18,30,8,7,9,15,36,60,4,4,8,2,2,28,6,6,36,
16,24,24,12,16,16,32,12,4,8,8,1,8,8,7,9,4,6,6,6,6,24,8,8,24,24,24,4,4,4,4,8,8,
8,8,16,15,9,24,2,2,8,2,16,16,16,12,12,8,36,12,16,16,8,8,8,8,16,16,8,8,8,16,18,
6,12,4,4,16,2,2,2,6,8,8,16,8,1,1,3,1,3,12,12,2,2,4,8,8,3,1,4,1,3,3,2,2,3,4,4,
4,4,2,4,4,4,4,2,2,4,4,4,4,4,2,2,4,4,4,4,18,12,4,4,4,4,16,16,8,8,8,8,6,2,4,4,2,
2,4,6,6,18,12,12,4,4,4,4,16,16,2,4,4,16,16,24,24,3,3,2,2,4,1,1,3,1,4,4,8,4,4,
1,1,2,2,4,2,2,2,2,2,2,4,4,4,4,4,2,1,1,2,2,4,1,4,12,2,2,2,4,2,2,4,6,4,4,4,4,4,
4,4,4,4,4,4,4,1,1,2,1,1,1,1,2,1,2,2,4,4,4,4,1],[1,7,10,38,8,7,5,19,52,44,4,4,
8,2,2,4,6,6,28,48,24,24,12,16,16,32,12,4,16,1,16,1,7,12,6,6,6,6,16,8,8,8,24,
24,24,4,4,4,4,8,8,8,8,16,11,13,24,2,2,8,2,16,16,16,4,20,8,20,28,32,16,16,32,8,
8,8,16,6,10,20,8,16,2,2,2,6,16,16,8,2,1,2,1,3,12,12,2,2,4,8,8,3,1,4,1,2,4,4,2,
1,4,4,4,4,2,8,4,4,4,4,8,8,4,8,8,4,10,16,8,8,16,16,16,16,4,2,2,4,4,2,2,4,6,6,2,
12,16,12,8,4,4,16,16,2,4,4,16,16,8,16,8,16,2,4,4,4,1,1,2,1,1,4,4,8,4,4,1,1,4,
4,4,4,4,8,8,4,2,2,4,4,1,4,8,4,2,4,4,4,4,2,4,8,8,4,8,8,8,4,2,2,1,1,2,2,1,2,2,8,
8,1],[1,3,14,30,16,1,5,9,12,32,8,8,8,8,2,4,18,12,20,16,48,24,16,32,16,48,16,4,
4,8,16,1,9,16,8,6,8,24,1,5,4,12,6,6,8,12,24,12,12,8,4,8,4,8,8,8,16,16,5,4,4,2,
8,4,4,2,4,16,24,16,4,4,8,4,12,8,12,8,16,8,32,8,16,4,4,16,16,8,8,4,8,8,2,4,8,4,
8,4,12,2,2,6,2,6,16,16,4,8,8,1,3,3,6,12,1,1,6,2,4,4,8,8,1,1,4,1,1,4,3,1,4,4,4,
3,1,2,2,2,2,2,2,2,2,2,4,2,2,4,2,4,4,2,4,2,2,2,2,2,2,2,4,2,2,4,8,2,2,4,8,8,2,2,
6,6,16,16,4,4,12,4,4,4,8,16,8,16,2,2,4,2,2,4,2,4,4,6,8,2,8,8,2,12,12,4,4,8,8,
4,24,24,1,3,1,4,1,1,4,2,4,4,8,2,1,3,1,2,2,1,1,2,2,2,2,2,4,2,2,2,2,2,2,4,2,2,2,
2,2,1,1,1,1,2,2,2,2,1,4,12,2,2,2,2,2,2,2,2,2,6,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,
4,2,2,2,2,2,1,1,2,1,1,1,1,2,1,2,2,2,2,2,2,2,2,2,2,1],[1,3,22,22,16,1,9,5,12,
32,8,8,8,8,2,28,18,12,12,48,24,16,16,32,48,16,4,4,16,8,1,8,9,16,6,8,24,7,3,12,
6,6,8,12,24,12,12,4,8,4,8,8,16,8,8,16,5,4,4,2,8,4,4,2,4,24,16,16,4,4,12,8,12,
8,12,8,16,8,32,4,16,16,4,8,16,8,4,8,8,6,4,8,8,12,4,2,6,2,6,2,16,16,4,8,8,1,3,
3,6,12,1,1,6,4,2,4,8,8,1,1,4,1,1,1,3,4,4,4,4,1,3,2,2,2,2,2,2,2,2,4,2,2,2,2,4,
4,2,4,2,2,4,2,2,2,2,4,2,2,6,2,4,8,2,8,8,6,6,2,2,4,4,4,4,4,12,16,16,16,8,16,8,
2,2,4,2,6,4,2,6,4,2,8,8,8,2,4,4,12,12,8,8,4,24,24,1,1,1,4,3,1,2,4,4,4,8,2,1,1,
3,2,2,1,1,2,2,2,2,4,2,2,2,2,2,2,2,2,4,2,2,2,2,1,1,1,1,2,2,2,2,1,4,12,2,2,2,2,
2,2,2,2,2,6,2,4,4,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,1,1,2,1,1,1,1,2,1,2,2,2,
2,2,2,2,2,2,2,1],[1,7,10,22,8,7,5,11,36,44,4,4,8,2,2,4,6,6,12,24,24,12,16,16,
32,4,4,16,16,1,1,3,6,6,6,6,8,8,8,24,24,24,4,4,4,4,8,8,8,8,16,11,9,24,2,2,8,2,
16,16,16,4,4,8,4,4,8,8,8,16,2,2,8,8,32,2,2,2,2,8,8,8,8,32,16,1,1,3,12,12,2,2,
4,8,8,3,1,4,1,4,4,8,16,16,1,4,4,8,4,4,4,8,4,4,8,4,4,4,4,8,8,2,2,4,4,2,2,4,2,2,
2,4,4,4,16,16,2,4,4,16,16,1,1,1,1,4,4,8,4,4,1,1,4,8,8,4,4,4,8,8,1,4,8,2,2,1,2,
1],[1,3,14,22,8,1,5,5,12,32,4,4,8,8,2,4,18,12,12,48,24,12,16,16,32,8,8,12,12,
1,9,16,6,8,24,1,3,12,6,6,8,12,24,12,12,4,4,4,4,8,8,8,8,16,5,4,2,2,8,2,16,16,
16,4,4,4,4,8,8,4,4,4,4,8,8,4,4,6,6,24,4,4,4,4,6,6,6,6,24,32,3,3,6,12,1,1,6,2,
2,4,8,8,1,4,2,3,3,6,12,12,2,8,8,6,8,2,4,4,4,4,2,4,4,4,4,4,2,2,2,2,4,4,2,4,2,2,
2,2,2,8,8,2,2,2,2,4,4,4,4,4,4,8,8,8,8,2,2,2,2,8,8,1,1,1,1,2,2,4,4,8,2,2,1,1,2,
4,4,4,4,4,4,2,2,4,4,4,2,4,2,3,8,1,2,1,1,2,1],[1,7,10,22,7,5,11,36,44,2,2,4,6,
6,12,24,24,4,8,4,4,24,1,1,3,6,6,6,6,8,8,8,24,24,24,11,9,24,4,4,4,4,4,4,4,4,8,
8,2,2,2,2,12,24,8,4,8,2,16,1,1,3,12,12,3,2,4,1,2,6,4,4,1,1,6,6,2,8,8,4,8,8,2,
2,2,2,2,2,2,2,2,2,8,8,2,2,2,2,4,2,1,1,1,1,1,1,2,2,1,3,4,2,4,2,1,2,8,2,2,1,1,1,
1,1,1,1,1],[1,7,10,22,7,5,11,36,44,2,2,4,6,6,12,24,24,20,8,4,4,8,1,1,3,6,6,6,
6,8,8,8,24,24,24,11,9,24,4,4,4,4,4,4,4,4,8,8,2,2,2,2,4,8,8,4,8,26,16,1,1,3,12,
12,3,4,2,1,2,2,4,4,4,1,1,2,2,2,12,12,8,8,4,2,2,2,2,2,2,2,2,2,2,8,8,2,2,2,2,4,
2,1,1,1,1,1,1,2,2,6,2,1,1,4,2,1,2,4,4,2,2,1,1,1,1,1,1,1,1],[1,7,10,14,8,7,5,7,
12,28,4,4,8,2,2,4,6,6,12,12,16,16,32,8,4,8,24,1,1,3,6,6,8,4,4,4,4,8,8,8,8,16,
7,3,8,2,2,8,2,16,16,16,8,8,4,4,8,4,4,8,2,2,4,12,16,2,4,8,24,8,1,1,2,2,4,8,8,1,
1,4,2,6,1,4,2,4,4,2,4,6,3,2,4,2,6,8,8,8,8,1,2,4,2,2,2,4,2,2,2,8,8,1,2,1,1,1,1,
2,1,2,1,2,2,1,3,4,4,2,8,2,2,1,1,1,1,1,1,1,1],[1,7,10,14,8,7,5,7,12,28,4,4,8,2,
2,4,6,6,12,12,16,16,32,8,4,16,8,8,1,1,3,6,6,8,4,4,4,4,8,8,8,8,16,7,3,8,2,2,8,
2,16,16,16,8,8,4,4,8,4,4,8,2,2,4,8,4,16,2,4,16,8,8,8,1,1,2,2,4,8,8,1,1,4,2,4,
2,1,4,2,4,4,2,4,2,4,3,2,4,2,4,2,8,8,8,8,1,2,4,2,2,2,4,2,2,2,8,8,1,2,1,1,1,1,2,
1,2,1,2,2,1,2,1,4,4,2,4,4,2,2,1,1,1,1,1,1,1,1],[1,3,10,26,1,3,7,20,24,2,4,4,8,
10,12,40,48,8,12,4,4,16,4,8,4,12,16,20,1,3,2,6,4,4,8,4,8,16,20,20,3,2,4,4,4,4,
4,8,8,8,8,8,2,2,8,16,8,6,2,2,8,4,16,1,2,1,8,12,1,1,4,2,1,2,2,2,4,4,2,2,4,2,2,
2,2,2,8,8,4,4,1,1,2,4,4,8,8,2,2,2,2,2,8,8,2,2,4,4,2,1,1,1,1,1,1,2,2,2,2,2,4,1,
2,4,2,4,4,2,2,1,2,1,1,2,1],[1,1,16,10,12,3,10,12,12,12,9,6,10,5,6,12,2,6,6,6,
30,36,4,4,20,8,8,1,3,4,1,5,2,4,6,6,12,12,18,6,12,3,6,2,6,6,6,6,24,12,6,4,4,8,
4,4,4,8,4,4,4,6,2,8,4,4,2,4,2,2,12,12,4,4,4,4,8,1,1,6,3,6,3,6,6,1,1,1,3,2,2,1,
2,2,2,2,2,2,6,2,2,2,2,2,4,4,4,6,2,2,3,1,2,6,4,6,4,2,4,2,4,2,2,2,4,4,4,2,4,1,2,
1,1,1,1,1,2,2,1,1,2,3,2,1,3,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,12,14,12,
1,2,10,8,8,20,7,2,2,8,7,10,12,2,6,6,22,14,36,4,4,8,12,8,8,1,3,4,1,3,2,2,4,4,4,
6,2,8,6,12,10,20,1,2,6,2,2,2,8,10,10,16,4,8,6,4,8,4,4,4,4,4,8,4,4,2,4,4,2,4,4,
4,2,2,4,2,4,12,8,4,4,4,4,8,1,1,2,1,2,6,4,1,2,2,4,4,2,1,1,1,1,2,2,2,1,2,2,2,2,
2,2,2,4,2,2,2,2,2,4,4,4,2,2,4,1,3,2,2,4,2,2,4,4,4,2,4,2,4,2,4,2,2,4,4,2,4,1,2,
1,1,2,1,1,1,2,1,1,2,1,2,2,1,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,7,6,10,
16,7,3,5,12,20,12,12,24,4,12,24,12,12,24,4,8,8,8,16,1,5,3,8,6,6,24,4,12,4,4,8,
12,12,24,12,12,12,4,4,8,16,4,4,8,4,4,16,8,8,4,2,2,2,8,8,8,8,1,3,1,3,12,12,1,2,
2,4,2,4,2,2,4,2,2,4,4,8,8,8,8,1,2,4,2,4,3,4,2,2,4,4,4,2,2,8,8,1,2,1,1,2,1,1,1,
2,2,2,4,4,1,2,2,2,4,4,2,2,1,2,1,1,2,1],[1,3,10,26,8,1,5,13,8,20,4,4,8,2,2,4,6,
6,20,16,8,8,12,16,16,32,8,8,24,8,1,5,4,6,2,6,2,8,8,4,4,4,4,8,8,8,8,16,5,2,2,2,
8,2,16,16,16,4,8,12,8,16,8,8,16,12,12,8,2,4,12,4,2,2,2,24,8,1,1,1,1,2,2,4,8,8,
1,4,1,1,6,2,4,6,1,4,4,4,6,4,4,8,8,3,2,2,2,4,4,4,8,8,2,2,2,4,2,2,4,4,8,8,6,2,1,
2,1,2,1,2,2,2,2,2,2,4,2,2,1,3,2,4,2,2,2,4,2,2,4,1,1,1,1,1,1,1,1],[1,3,10,26,8,
1,5,13,8,20,4,4,8,2,2,4,6,6,20,16,8,8,12,16,16,32,8,8,16,8,8,1,5,4,6,2,6,2,8,
8,4,4,4,4,8,8,8,8,16,5,2,2,2,8,2,16,16,16,4,8,12,8,16,16,8,8,12,12,8,2,4,8,4,
4,2,2,2,16,8,8,1,1,1,1,2,2,4,8,8,1,4,1,1,4,2,2,4,4,2,1,4,4,4,4,2,4,4,8,8,3,2,
2,2,4,4,4,8,8,2,2,2,4,2,2,4,4,8,8,6,2,1,2,1,2,1,2,2,2,2,2,2,4,2,2,1,2,1,2,4,2,
2,2,4,2,2,4,1,1,1,1,1,1,1,1],[1,3,10,26,8,1,5,13,8,20,4,4,8,2,2,4,6,6,20,16,8,
8,12,16,16,32,8,8,16,8,8,1,5,4,6,2,6,2,8,8,4,4,4,4,8,8,8,8,16,5,2,2,2,8,2,16,
16,16,4,8,12,8,16,8,8,16,12,12,8,2,4,8,4,4,2,2,2,16,8,8,1,1,1,1,2,2,4,8,8,1,4,
1,1,4,2,2,4,4,2,1,4,4,4,4,2,4,4,8,8,3,2,2,2,4,4,4,8,8,2,2,2,4,2,2,4,4,8,8,6,2,
1,2,1,2,1,2,2,2,2,2,2,4,2,2,1,2,1,2,4,2,2,2,4,2,2,4,1,1,1,1,1,1,1,1],[1,3,18,
18,8,1,9,9,8,20,4,4,8,2,2,28,6,6,12,8,8,12,16,16,32,8,8,8,8,8,8,7,3,6,2,6,2,8,
8,4,4,4,4,8,8,8,8,16,5,2,2,2,8,2,16,16,16,4,8,16,4,16,8,8,16,12,12,8,6,4,4,4,
4,2,2,2,8,8,8,8,1,1,1,1,2,2,4,8,8,1,4,1,1,2,2,2,2,4,2,2,2,1,4,4,4,2,2,2,4,4,8,
8,3,2,2,6,4,4,8,8,2,2,2,4,2,6,4,8,8,6,2,1,2,1,2,1,2,2,2,2,2,2,4,2,2,1,1,1,1,2,
4,2,2,2,4,2,2,4,1,1,1,1,1,1,1,1],[1,7,6,26,8,7,3,13,44,36,4,4,8,2,2,6,6,16,24,
24,12,20,4,4,4,8,1,4,6,6,6,6,8,8,8,24,24,24,9,11,24,2,2,8,2,8,8,4,4,4,4,4,4,8,
8,8,8,16,8,16,4,2,2,4,8,8,2,2,2,26,1,1,3,12,12,3,1,4,1,1,2,2,4,1,1,2,2,2,12,
12,2,2,2,2,4,4,4,4,4,4,8,8,2,2,4,4,2,4,4,2,2,2,2,8,8,2,4,2,1,1,2,1,2,2,2,2,2,
2,2,2,4,6,1,1,2,2,2,2,4,4,2,2,1,1,1,1,1,1,1,1],[1,7,6,26,8,7,3,13,44,36,4,4,8,
2,2,6,6,16,24,24,12,4,4,4,4,24,1,4,6,6,6,6,8,8,8,24,24,24,9,11,24,2,2,8,2,8,8,
4,4,4,4,4,4,8,8,16,8,8,16,8,4,2,2,12,24,8,2,2,2,2,1,1,3,12,12,3,1,1,1,2,6,4,1,
1,6,6,2,4,2,2,2,2,4,8,8,4,4,4,4,8,8,2,2,4,4,2,4,4,2,2,2,2,4,8,8,2,2,1,1,2,1,2,
2,2,2,2,2,2,2,4,1,3,2,4,2,2,2,4,4,2,2,1,1,1,1,1,1,1,1],[1,3,6,30,8,1,1,9,28,
16,4,4,8,2,4,8,10,16,40,48,12,8,8,4,4,16,4,8,4,12,16,20,4,2,6,4,4,8,4,8,16,20,
20,1,4,4,2,2,8,2,8,4,4,4,4,8,8,8,8,16,8,4,4,24,2,2,4,2,2,8,16,8,4,8,4,1,2,1,8,
12,1,1,4,2,1,2,1,1,2,4,2,2,2,8,8,4,2,1,1,2,4,4,2,2,2,2,4,4,2,2,4,4,8,8,2,4,4,
2,2,2,2,8,8,4,4,2,2,6,2,1,1,2,1,2,2,2,4,2,2,2,2,2,1,4,1,2,2,2,2,2,2,2,2,2,4,1,
1,1,1,1,1,1,1],[1,1,8,26,12,1,6,4,6,8,8,20,1,2,2,4,9,18,16,12,8,2,6,6,22,14,
36,4,12,8,8,8,2,8,2,4,3,4,1,2,2,2,4,4,4,6,2,8,6,12,10,20,1,2,6,2,2,2,8,10,10,
16,4,8,6,4,4,4,12,8,16,8,4,4,20,8,8,4,8,2,4,4,4,4,2,4,2,2,4,4,8,4,4,4,4,1,1,1,
2,1,2,6,4,1,2,2,4,4,2,1,1,1,2,2,1,2,2,2,4,2,2,2,2,4,4,4,2,2,3,1,2,2,4,2,2,4,4,
4,2,4,4,4,2,2,4,4,4,6,2,4,4,8,8,2,2,2,4,4,1,1,2,2,1,2,2,2,2,2,2,4,2,2,1,1,2,1,
1,2,2,2,2,2,2,2,2,2,4,1,1,1,1,1,1,1,1],[1,1,20,14,12,7,4,6,12,12,12,3,30,6,7,
6,12,8,2,6,6,6,30,36,4,16,12,8,8,2,2,4,7,3,2,2,4,6,6,12,12,18,6,12,3,6,2,6,6,
6,6,24,12,6,4,4,12,4,24,4,16,12,4,20,8,4,6,4,4,2,2,4,2,12,4,4,4,4,4,1,1,1,6,3,
6,3,6,6,1,1,3,2,1,2,2,2,2,2,4,2,2,4,4,4,2,2,2,1,3,2,6,4,6,4,4,6,4,2,2,4,2,6,
12,12,4,4,2,2,6,4,3,1,2,1,2,2,2,2,2,6,2,2,1,1,2,1,3,2,2,2,2,2,2,2,2,4,1,1,1,1,
1,1,1,1],[1,1,12,14,20,3,4,6,16,16,12,3,6,6,7,6,12,8,2,6,10,6,30,36,16,4,20,8,
8,2,2,4,1,3,2,2,4,6,6,12,12,18,6,12,5,6,4,4,4,2,6,6,6,6,24,12,6,4,8,4,12,12,8,
4,4,4,12,8,8,8,8,8,6,2,8,4,4,2,4,2,12,4,4,4,4,1,1,6,3,6,3,6,1,6,1,1,3,2,1,2,2,
2,2,6,2,2,2,4,4,2,6,2,2,1,3,2,6,4,6,2,4,2,2,4,2,6,4,4,2,2,2,2,4,2,4,4,4,4,4,4,
4,4,1,2,1,2,1,2,2,2,4,2,2,2,2,2,1,2,3,1,3,2,2,2,2,2,4,2,2,1,1,1,1,1,1,1,1],[1,
1,8,18,20,1,2,4,6,12,12,20,1,2,2,4,9,10,12,8,2,6,10,22,14,36,16,4,8,12,8,8,2,
2,4,1,1,2,2,2,4,4,4,6,2,8,6,12,10,20,3,2,6,4,4,4,2,2,2,8,10,10,16,4,8,6,8,4,4,
12,12,8,4,4,12,4,8,8,8,8,8,2,4,4,2,4,4,4,4,2,2,4,4,8,4,4,4,1,1,2,1,2,6,4,1,2,
2,4,1,4,2,1,1,1,2,2,1,2,2,2,2,2,4,2,2,2,4,4,2,2,2,4,3,1,2,2,4,2,2,4,4,2,4,2,2,
4,6,2,4,4,2,2,2,2,4,2,4,4,4,4,4,4,4,4,1,2,1,2,1,2,2,2,4,2,2,2,2,2,1,2,1,2,1,1,
2,2,2,2,2,2,4,2,2,1,1,1,1,1,1,1,1],[1,15,6,18,8,35,3,9,36,36,4,4,8,2,2,6,6,24,
24,12,12,12,4,4,8,15,6,6,6,6,8,8,24,24,24,9,9,24,2,2,8,2,12,36,8,4,4,4,4,8,8,
24,2,2,4,8,8,6,2,2,8,18,1,1,3,12,12,3,1,3,1,2,2,2,4,1,1,2,2,2,6,6,2,2,2,2,8,8,
6,2,4,18,18,2,4,4,2,2,2,2,8,8,6,3,1,2,1,2,6,2,2,2,2,2,2,3,1,1,2,4,1,2,2,4,2,2,
4,1,1,1,1,1,1,1,1],[1,7,6,26,8,7,3,13,44,36,4,4,8,2,2,6,6,16,24,24,12,4,20,4,
4,8,1,4,6,6,6,6,8,8,8,24,24,24,9,11,24,2,2,8,2,8,8,4,4,4,4,4,4,8,8,16,8,16,8,
8,4,2,2,4,8,8,10,2,2,16,2,1,1,3,12,12,3,1,1,4,1,2,2,4,1,1,2,2,2,4,2,2,2,2,4,8,
8,4,4,4,4,2,2,4,4,8,8,2,4,4,2,2,2,2,4,8,8,2,4,4,1,2,1,2,1,2,2,2,2,2,2,2,2,4,2,
1,1,2,4,2,2,2,4,2,2,4,1,1,1,1,1,1,1,1],[1,3,6,14,24,1,3,7,8,12,16,16,24,8,8,4,
12,28,12,12,24,16,8,8,4,4,16,2,2,8,3,2,8,6,24,4,4,4,4,12,4,4,8,12,12,24,12,12,
12,12,4,4,8,8,8,4,4,4,24,8,8,8,8,2,2,2,2,4,4,2,2,4,4,8,8,8,8,1,1,3,1,3,12,12,
1,1,1,1,2,4,2,2,2,2,2,2,2,2,2,4,4,4,4,3,2,4,4,4,1,4,4,2,2,2,4,2,2,2,4,4,8,8,2,
6,4,4,4,4,4,4,4,1,1,2,2,1,2,2,2,2,2,2,2,4,2,1,2,2,2,1,2,2,2,2,2,2,4,2,2,1,1,1,
1,1,1,1,1],[1,15,10,30,35,5,15,60,60,2,2,4,6,6,12,16,24,24,20,4,4,8,15,1,3,4,
6,6,6,6,8,8,8,8,24,24,24,15,15,40,20,60,12,12,4,4,4,4,8,8,8,8,16,6,6,12,2,2,4,
8,8,30,8,1,1,1,1,3,12,12,5,5,3,3,2,2,2,1,1,2,2,2,6,6,2,2,2,2,4,4,2,2,2,2,4,4,
8,8,8,8,30,30,6,6,6,12,12,12,24,24,2,2,5,3,3,1,2,6,1,1,1,1,2,2,2,2,4,3,1,1,2,
2,4,12,6,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,7,10,30,8,7,5,15,28,28,4,4,8,
2,2,4,6,6,28,48,12,16,16,32,16,4,8,8,1,16,1,7,12,6,6,16,8,4,4,4,4,8,8,8,8,16,
7,7,8,2,2,8,2,16,16,16,8,24,20,28,16,16,8,8,8,8,8,4,4,8,6,10,20,4,4,2,8,8,8,8,
8,2,1,2,1,2,2,4,8,8,1,1,4,2,4,2,2,2,1,2,2,2,2,3,4,4,2,4,2,2,4,4,1,2,4,10,16,4,
4,8,8,8,8,4,4,6,6,2,12,16,12,4,4,2,2,2,8,8,8,16,8,16,2,4,2,2,2,1,2,1,1,1,2,2,
1,2,2,2,4,4,1,2,1,2,1,1,2,2,4,8,4,2,4,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,
7,18,22,8,7,9,11,12,44,4,4,8,2,2,28,6,6,36,16,12,16,16,32,16,4,8,8,1,8,8,7,9,
4,6,6,24,4,4,4,4,8,8,8,8,16,11,3,8,2,2,8,2,16,16,16,16,16,36,12,16,16,8,8,8,8,
8,4,4,8,18,6,12,4,4,2,8,8,8,8,8,1,1,3,1,2,2,4,8,8,1,1,4,3,3,2,2,3,2,2,2,2,3,4,
4,2,4,2,2,4,4,1,2,18,12,4,4,8,8,8,8,8,6,6,18,12,12,4,4,2,2,2,8,8,24,24,3,3,2,
2,3,2,1,1,1,2,2,1,2,2,2,4,4,1,2,1,2,1,1,2,2,4,12,6,2,2,2,2,2,2,1,1,1,1,1,1,1,
2,2,2,2,1],[1,7,10,38,7,5,19,52,44,2,2,4,6,6,28,48,24,24,12,8,4,4,8,1,16,1,7,
12,6,6,6,6,16,8,8,8,24,24,24,11,13,24,4,20,20,28,4,4,4,4,8,8,8,8,16,16,8,8,6,
10,20,2,2,4,8,8,4,8,6,8,2,1,2,1,3,12,12,3,2,2,4,2,1,2,2,2,1,1,2,2,2,4,4,2,2,2,
2,4,4,2,2,4,10,16,2,2,2,2,4,4,8,8,8,8,4,2,8,8,6,6,2,12,16,12,4,4,8,16,8,16,2,
4,2,2,2,2,1,1,2,2,1,1,1,1,2,2,2,2,4,4,2,1,1,2,2,1,4,8,4,2,4,2,2,2,2,2,2,1,1,1,
1,1,1,1,2,2,2,2,1],[1,3,10,42,1,3,15,36,24,2,4,4,8,10,12,32,56,64,12,4,4,16,4,
8,4,12,16,20,1,3,8,2,10,4,8,16,8,4,8,16,36,20,3,6,4,4,4,4,4,8,16,16,8,32,24,
24,24,2,2,8,16,8,6,6,6,24,8,1,2,1,8,12,1,2,3,4,2,3,6,2,4,2,2,2,2,2,8,8,1,1,2,
4,4,2,2,2,2,8,8,8,16,8,16,6,6,12,24,24,6,12,24,24,2,4,3,6,1,1,1,1,1,2,2,4,4,8,
2,4,1,2,4,12,6,2,2,4,4,1,2,1,1,2,2,2,2,2,1],[1,1,24,10,20,7,10,16,16,12,9,30,
10,5,6,12,2,6,10,6,46,52,16,24,4,8,1,8,3,4,7,5,2,4,6,10,16,12,26,6,12,5,6,4,4,
4,2,6,6,6,6,24,20,6,12,4,16,4,4,40,20,24,4,4,4,8,8,8,8,10,4,12,8,2,6,20,4,4,4,
4,8,1,1,1,6,3,6,5,6,1,6,3,5,2,3,2,2,2,2,4,4,2,3,1,2,6,4,6,10,4,6,8,2,2,2,12,
20,20,4,4,6,10,4,12,12,4,4,4,4,4,4,24,24,5,3,2,3,2,1,2,2,4,1,2,1,1,1,2,2,6,1,
2,1,3,2,4,12,6,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,12,22,20,1,6,10,12,
12,20,7,2,2,8,7,18,16,12,2,6,10,38,14,52,16,4,16,8,8,1,3,4,8,3,4,3,2,2,4,8,4,
10,2,8,6,12,18,20,3,2,6,4,4,4,2,2,2,8,10,10,16,4,16,6,12,16,4,4,4,24,16,12,4,
16,4,8,8,4,8,8,8,8,6,4,4,12,2,8,6,12,4,8,4,4,4,8,1,1,1,2,1,2,6,4,3,2,2,4,1,4,
2,3,3,2,2,3,2,2,2,2,4,4,1,3,2,2,4,2,2,4,4,6,4,4,2,8,6,12,12,12,2,2,4,4,8,8,6,
6,4,4,12,12,4,4,4,4,4,4,24,24,3,3,2,2,3,2,1,2,2,4,1,2,1,1,1,2,2,2,4,1,2,1,1,2,
2,4,12,6,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,7,6,10,32,7,3,5,12,20,20,20,
40,4,12,48,12,12,24,32,4,16,16,1,5,3,8,10,10,40,8,8,8,8,12,4,4,8,12,12,24,12,
12,12,4,4,24,24,32,4,4,8,16,16,16,16,8,6,6,2,24,8,8,8,8,8,1,2,5,1,3,12,12,3,6,
2,4,2,1,2,4,8,2,4,3,4,8,2,6,6,12,12,24,8,2,2,8,8,8,8,8,8,8,24,8,24,24,3,6,2,4,
1,1,2,1,1,1,2,4,8,4,1,2,2,4,4,12,6,2,4,2,4,1,2,1,1,2,2,2,2,2,1],[1,3,14,14,1,
7,7,8,12,28,12,8,8,4,4,8,16,8,7,3,2,2,8,8,3,2,4,12,16,8,8,6,4,8,16,2,2,2,8,8,
1,1,1,1,1,2,4,4,2,4,2,4,4,4,6,4,2,2,4,6,4,4,4,4,1,1,2,2,1,2,2,2,2,2,4,2,2,2,1,
1,1,2,2,1],[1,3,6,22,1,3,11,8,12,4,20,16,8,8,4,4,8,16,8,1,5,4,2,2,8,8,3,2,4,8,
4,16,8,8,2,4,4,8,16,2,2,2,8,8,1,1,1,1,1,2,4,4,2,4,2,4,4,4,2,4,4,2,2,4,2,4,4,4,
4,4,1,1,2,2,1,2,2,2,2,2,4,2,2,2,1,1,1,2,2,1],[1,15,2,6,8,35,1,3,12,12,4,4,8,
12,4,12,16,15,3,3,8,2,2,8,2,4,12,8,24,6,2,2,8,6,8,8,8,8,1,1,1,1,1,2,4,4,4,6,2,
4,4,6,6,2,4,4,6,4,4,4,1,1,2,2,1,2,2,2,2,2,4,2,2,2,1,1,1,2,2,1],[1,7,2,14,8,7,
1,7,20,12,4,4,8,16,12,12,4,16,1,4,8,3,5,8,2,2,8,2,8,8,4,4,8,16,4,2,2,2,14,8,8,
8,8,1,1,1,2,1,1,4,4,2,2,4,4,4,4,2,2,4,4,2,4,4,2,4,4,4,4,1,1,2,2,1,2,2,2,2,2,4,
2,2,2,1,1,1,2,2,1],[1,7,2,14,8,7,1,7,20,12,4,4,8,12,4,12,16,16,1,3,5,8,2,2,8,
2,8,16,8,12,4,4,8,8,16,6,2,2,8,2,8,8,8,4,1,1,1,2,4,4,1,1,1,2,4,4,2,2,4,2,2,2,
4,2,4,4,4,2,3,2,2,4,4,1,2,2,1,1,2,2,1,1,1,1,2,2,4,2,2,1,1,1,2,2,1],[1,3,6,14,
8,1,3,7,8,12,4,4,4,12,8,8,4,8,4,4,32,1,3,2,2,8,8,3,2,2,4,8,8,8,8,4,4,8,8,2,2,
16,16,2,4,2,16,8,4,1,1,1,2,4,4,1,1,1,2,4,2,2,2,2,2,4,4,4,1,2,2,2,4,2,2,2,2,4,
4,4,1,2,2,1,1,2,2,1,1,1,1,2,2,4,2,2,1,1,1,2,2,1],[1,3,6,14,8,1,3,7,8,12,4,4,4,
12,8,8,4,8,4,20,16,1,3,2,2,8,8,3,2,2,4,8,8,8,8,4,4,8,8,10,2,8,16,2,4,2,16,8,4,
1,1,1,2,4,4,1,1,1,2,4,2,2,2,2,2,4,4,4,1,2,2,2,4,2,2,2,2,4,4,4,1,2,2,1,1,2,2,1,
1,1,1,2,2,2,2,4,1,1,1,2,2,1],[1,3,2,18,8,1,1,9,8,4,4,4,8,8,8,8,12,8,24,16,2,2,
2,8,1,2,2,2,8,2,4,4,4,16,16,16,2,6,6,12,16,2,8,8,8,4,1,1,2,1,4,4,1,2,2,2,4,4,
4,4,4,4,1,4,2,4,4,4,4,4,4,1,2,2,2,2,2,1,2,1,4,4,4,1,1,1,2,2,1],[1,7,2,14,8,7,
1,7,20,12,4,4,8,12,4,28,16,1,3,5,8,2,2,8,2,8,16,8,12,4,4,8,14,2,2,24,2,8,8,8,
4,1,1,1,6,4,1,1,1,2,2,2,4,6,4,2,2,4,2,4,4,4,2,3,2,2,4,4,1,2,2,1,1,2,2,1,1,1,1,
2,2,4,2,2,1,1,1,2,2,1],[1,3,6,30,8,1,3,15,24,12,4,4,4,12,32,24,24,4,16,4,4,1,
3,8,6,6,16,8,24,3,6,2,4,8,8,8,8,4,4,24,24,24,2,2,6,8,6,24,8,8,4,8,1,2,3,3,6,2,
1,2,1,1,2,2,2,2,2,2,1,2,6,6,12,24,24,2,2,2,2,6,12,24,24,4,4,4,4,4,8,8,8,8,3,6,
2,2,1,1,4,12,1,1,1,1,6,2,2,2,2,2,4,4,4,4,4,4,8,1,1,1,2,2,2,2,2,2,1],[1,7,2,14,
24,7,1,7,20,12,12,12,24,36,32,4,20,1,3,5,8,6,6,24,8,8,6,8,8,32,24,24,12,4,4,8,
10,6,6,8,2,24,4,8,8,1,2,3,3,2,6,2,1,1,1,2,2,2,2,2,2,2,6,8,12,12,24,6,3,2,2,24,
4,4,24,24,4,4,4,8,8,8,8,3,6,2,2,1,1,4,12,1,1,1,6,1,2,2,2,2,2,4,4,4,4,4,4,8,1,
1,1,2,2,2,2,2,2,1],[1,3,6,14,8,1,3,7,8,12,4,4,4,12,8,8,4,8,16,4,4,1,3,2,2,8,8,
3,2,2,4,8,8,8,8,4,4,8,8,8,2,2,6,4,2,8,4,8,16,4,8,1,1,1,2,2,2,4,1,2,1,1,2,2,4,
2,2,2,2,2,2,4,4,2,1,2,2,2,4,2,2,2,2,4,4,4,4,4,4,1,2,2,1,1,2,2,1,2,1,1,1,2,2,2,
2,4,4,2,4,4,1,1,1,2,2,1],[1,7,2,14,8,7,1,7,20,12,4,4,8,12,4,12,8,8,1,3,5,8,2,
2,8,2,8,16,8,12,4,4,8,4,4,16,8,8,6,2,2,8,2,4,8,1,1,1,2,2,2,4,1,1,2,2,4,1,2,2,
2,4,4,2,2,2,2,2,2,4,4,4,2,3,2,2,4,4,4,4,4,1,2,2,1,1,2,2,2,1,1,1,1,2,2,2,2,4,4,
2,4,4,1,1,1,2,2,1],[1,7,6,10,16,7,3,5,12,20,12,12,24,4,12,24,12,12,24,4,24,1,
5,3,8,6,6,24,4,12,4,4,8,12,12,24,12,12,12,4,4,8,16,4,4,8,12,2,2,16,2,8,8,1,3,
1,3,12,12,1,4,2,1,2,4,6,4,3,2,2,4,4,4,2,2,8,8,4,4,4,1,2,1,1,2,1,1,1,2,2,1,2,2,
2,4,2,1,1,1,2,2,1],[1,7,6,10,16,7,3,5,12,20,12,12,24,4,12,24,12,12,24,4,8,16,
1,5,3,8,6,6,24,4,12,4,4,8,12,12,24,12,12,12,4,4,8,16,4,4,8,8,16,4,2,2,2,8,8,1,
3,1,3,12,12,1,4,2,4,4,1,2,2,4,3,2,2,4,4,4,2,2,8,8,4,4,4,1,2,1,1,2,1,1,1,2,2,1,
2,2,2,4,2,1,1,1,2,2,1],[1,3,10,26,1,3,7,20,24,2,4,4,8,10,12,40,48,4,4,4,16,4,
8,4,12,16,20,1,3,2,6,4,4,8,4,8,16,20,20,3,2,4,4,4,4,4,8,8,8,8,2,2,8,8,2,2,2,
16,8,1,2,1,8,12,1,1,4,2,1,4,2,4,2,2,2,2,1,1,2,4,2,2,2,2,8,8,2,2,4,4,4,4,4,2,1,
1,1,1,1,1,2,2,2,2,1,2,2,4,2,1,1,1,2,2,1],[1,3,10,26,1,3,7,20,24,2,4,4,8,10,12,
40,48,4,4,20,4,8,4,12,16,20,1,3,2,6,4,4,8,4,8,16,20,20,3,2,4,4,4,4,4,8,8,8,8,
10,2,8,2,2,2,16,8,1,2,1,8,12,1,1,4,2,1,4,2,4,2,2,2,2,4,1,1,2,2,2,2,2,8,8,2,2,
4,4,4,4,4,2,1,1,1,1,1,1,2,2,2,2,1,2,2,4,2,1,1,1,2,2,1],[1,7,6,10,7,3,5,12,20,
4,12,12,8,8,8,16,1,1,3,8,5,3,8,4,4,4,4,2,2,4,4,8,4,8,14,8,8,16,16,1,1,2,2,2,2,
4,1,4,4,4,2,2,4,2,2,4,2,2,4,2,2,2,2,2,2,4,1,1,2,1,1,2,1,2,4,4,2,2,2,2,1,1,1,1,
1,1,1,1],[1,7,6,10,7,3,5,12,20,4,12,12,8,8,8,16,1,1,3,8,5,3,8,4,4,4,4,2,2,4,4,
8,16,16,4,8,14,8,8,1,1,2,2,2,2,1,4,4,4,4,2,2,4,4,4,2,2,2,2,2,2,2,2,2,2,4,1,1,
2,2,1,1,1,2,4,4,2,2,2,2,1,1,1,1,1,1,1,1],[1,7,10,22,8,7,5,11,36,44,4,4,8,2,2,
4,6,6,12,24,24,12,4,4,16,16,1,1,3,6,6,6,6,8,8,8,24,24,24,11,9,24,2,2,8,2,4,4,
8,4,4,4,4,4,4,8,8,8,8,4,4,4,4,8,8,8,2,2,8,8,32,8,8,2,2,2,2,4,4,4,4,8,8,16,8,8,
1,1,3,12,12,3,1,1,2,2,2,2,4,8,8,1,2,2,8,2,2,2,2,4,2,2,4,4,6,6,4,4,8,2,2,4,2,2,
2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,8,8,2,2,4,4,2,2,2,4,2,2,2,2,2,2,8,8,2,8,8,8,
8,2,1,1,2,1,1,1,2,2,2,2,2,1,1,1,1,2,2,2,4,2,1,1,4,4,2,2,2,2,2,2,2,2,2,2,2,1,1,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,6,6,2,2,1,1,1,1,
1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,1],[1,3,14,22,8,1,5,5,12,24,4,4,8,2,4,18,12,4,
48,24,4,8,8,16,8,8,12,12,1,9,16,6,8,24,1,1,12,6,6,12,24,12,12,2,2,2,2,4,4,3,4,
2,4,4,2,2,4,6,2,6,6,6,6,4,4,4,4,6,6,6,6,4,4,4,4,4,4,8,8,2,4,6,6,8,4,4,2,4,2,2,
4,4,4,4,4,4,16,8,24,4,4,4,4,3,3,6,12,1,6,1,1,1,2,1,1,1,2,2,1,4,4,4,1,1,1,6,4,
2,4,1,1,1,1,2,2,4,5,5,4,4,3,3,1,1,2,3,3,2,3,5,5,3,3,3,1,1,1,1,2,5,5,3,3,1,3,1,
3,1,2,2,2,2,4,4,4,4,4,4,1,2,1,1,1,1,1,1,3,3,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,1,1,
1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,2,1,1,1,1,2,3,3,4,2,1,1,2,2,
2,2,1,1,3,3,1,1,2,2,1,1,2,2,1,1,2,1,2,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,
1,2,1,1,1,1,3,3,2,2,2,2,1,1,3,3,1,1,4,1,1,3,3,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,7,10,22,8,7,5,11,20,28,4,4,8,2,2,4,6,6,12,
8,8,12,16,16,32,20,20,1,1,3,6,2,6,2,8,8,4,4,4,4,8,8,8,8,16,7,5,8,2,2,8,2,16,
16,16,8,16,8,8,8,8,8,16,16,16,6,6,8,10,6,6,16,18,48,8,8,1,1,1,2,2,4,8,8,1,1,4,
2,3,4,2,3,8,8,12,2,2,2,6,12,12,4,6,4,8,12,4,6,8,4,2,4,2,2,2,4,4,2,2,4,8,8,2,2,
8,4,8,8,8,8,8,8,1,1,2,2,1,1,1,1,3,1,4,1,2,2,2,2,1,4,2,6,1,2,6,2,2,6,4,4,3,2,6,
2,3,4,2,2,4,2,2,2,2,2,4,4,2,6,6,6,6,8,8,1,1,1,1,1,1,1,2,2,2,4,2,2,2,2,2,2,2,
1],[1,15,4,12,12,35,2,6,24,24,18,4,4,8,8,8,18,8,15,6,6,16,3,2,4,4,4,8,24,6,36,
4,4,4,8,8,8,9,12,6,4,8,2,4,1,2,1,2,2,1,2,1,2,2,4,9,2,12,12,9,1,2,2,8,8,4,6,6,
2,4,4,2,2,3,1,2,2,1,1,1,2,2,2,3,2,1,2,2,1,1,1,1,1,1,1,1],[1,3,4,24,12,1,2,12,
20,8,8,16,16,16,10,4,4,8,8,4,14,8,8,4,4,4,8,16,2,5,2,1,2,4,4,4,16,4,4,16,6,4,
20,8,8,8,8,8,4,5,2,8,2,6,4,8,2,4,1,2,1,2,2,1,2,2,1,4,4,4,2,1,2,3,2,4,8,8,2,4,
8,8,5,4,2,4,2,4,2,2,4,4,2,2,2,1,2,1,2,1,1,1,2,2,2,1,2,1,2,2,2,1,1,1,1,1,1,1,
1],[1,1,18,16,8,7,6,4,4,4,2,28,8,2,8,20,4,4,16,16,6,8,12,8,8,4,4,7,2,3,2,4,4,
4,8,2,8,4,4,8,16,8,8,8,24,8,4,6,12,6,4,4,3,6,8,8,2,4,1,1,2,2,2,1,2,2,2,6,4,3,
1,2,6,4,4,8,8,8,8,1,3,6,2,2,4,6,2,4,4,2,2,2,1,3,2,1,1,1,2,2,2,1,3,2,2,2,1,1,1,
1,1,1,1,1],[1,1,6,28,8,1,6,6,4,4,4,2,8,2,12,24,12,12,4,16,16,6,4,8,16,4,8,4,3,
4,2,2,1,2,4,4,4,8,2,8,4,4,8,16,8,8,8,8,24,4,6,8,4,4,2,4,4,1,2,6,8,8,2,4,1,1,2,
2,2,1,2,2,2,2,4,4,1,1,2,2,4,2,4,4,8,8,8,8,1,1,2,4,2,2,2,4,4,2,2,4,4,2,2,2,1,1,
2,2,1,1,1,2,2,2,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,7,6,26,8,7,3,13,20,12,4,4,8,4,
12,16,8,8,12,20,4,4,4,8,1,1,3,4,2,2,8,3,5,2,2,8,2,6,26,18,18,8,8,16,8,8,16,8,
8,24,12,12,24,2,2,4,2,14,20,1,1,1,1,3,4,3,3,3,9,3,2,2,2,2,2,2,1,1,2,2,1,2,2,4,
2,2,2,2,4,1,2,3,3,6,2,2,4,5,3,3,3,3,6,6,6,2,2,4,4,4,2,2,6,8,24,24,24,1,1,1,1,
1,2,1,1,1,2,1,2,2,2,1,3,3,3,1,1,1,2,2,2,3,3,3,6,6,2,2,2,4,2,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,7,10,22,7,5,11,12,20,2,2,4,6,6,12,
16,20,8,4,4,8,1,1,3,4,6,6,5,3,10,22,18,18,4,4,4,4,8,8,4,4,12,12,24,2,2,4,4,2,
2,14,16,20,1,1,1,1,3,4,3,3,4,4,4,3,9,3,2,2,4,2,4,2,2,2,2,2,1,1,2,3,2,2,4,2,2,
2,2,4,2,1,3,3,6,2,2,4,3,5,3,3,3,6,6,6,2,8,24,24,24,1,1,1,1,2,1,1,3,3,3,1,1,1,
1,1,2,1,1,3,3,3,6,6,2,2,2,2,2,2,4,2,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1],[1,3,4,8,12,1,2,4,4,8,8,10,4,4,8,8,12,14,8,8,2,1,2,1,2,4,
4,4,8,6,4,4,4,8,8,4,4,4,4,5,2,6,6,4,8,4,2,4,1,1,2,2,1,4,3,4,4,2,1,2,4,2,2,2,4,
2,2,1,2,1,2,4,2,4,2,4,2,2,4,4,1,2,2,1,2,2,1,2,2,1,1,2,1,2,1,2,2,2,2,1,1,1,1,1,
1,1,1],[1,1,10,16,3,6,4,2,4,8,2,8,20,4,4,10,4,16,8,4,4,1,2,3,2,4,4,4,8,8,6,12,
6,8,2,4,5,6,4,4,8,2,4,4,1,1,2,2,1,1,2,6,2,2,2,2,2,2,2,4,3,1,2,2,6,2,4,3,6,6,2,
4,4,1,2,2,1,2,2,3,2,1,1,2,1,3,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,20,1,2,6,4,2,8,
2,4,8,12,12,4,10,8,4,16,4,4,1,2,2,1,2,4,4,4,8,8,6,8,4,2,4,2,4,4,4,3,2,6,4,4,8,
2,4,4,1,1,2,2,1,1,2,2,2,4,2,2,2,2,2,2,4,1,1,2,2,2,2,4,2,4,1,2,4,2,4,2,2,4,4,1,
2,2,1,2,2,1,2,2,1,1,2,1,1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,7,4,4,12,7,2,2,8,18,4,
4,8,8,8,26,8,1,2,3,2,4,4,4,4,4,6,12,8,8,13,4,4,8,6,4,8,4,2,4,1,1,2,2,1,1,2,2,
10,1,4,4,5,2,6,2,2,2,3,4,6,6,2,4,4,1,2,2,1,2,2,3,2,1,1,2,3,2,1,2,2,2,1,1,1,1,
1,1,1,1],[1,1,14,20,7,10,4,28,8,20,12,10,20,8,8,8,7,5,2,4,8,40,8,6,20,10,4,5,
6,2,4,8,4,1,1,2,1,3,6,10,4,5,3,2,10,4,5,6,6,2,4,4,5,3,2,1,3,6,1,1,3,2,2,2,1,1,
1,1,1,1,1,1],[1,1,2,32,1,6,10,4,12,24,12,20,10,12,16,8,8,3,4,2,3,2,4,24,8,24,
6,16,4,6,4,4,3,2,6,2,4,8,4,1,1,2,1,3,6,6,4,4,3,3,2,2,6,4,4,3,2,4,2,4,2,2,4,4,
3,3,2,2,1,3,6,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,12,20,1,6,12,8,16,4,12,22,8,
12,10,8,8,4,8,3,2,3,2,12,16,16,6,4,24,8,8,4,3,2,6,6,4,4,2,8,4,1,1,2,1,3,2,3,4,
3,6,6,2,4,3,2,4,4,6,2,4,4,2,2,4,4,3,2,3,2,1,3,6,1,1,2,1,2,2,2,1,1,1,1,1,1,1,
1],[1,15,20,35,4,12,30,8,30,8,15,5,2,12,6,60,8,8,15,6,4,12,2,4,1,1,3,3,15,9,2,
4,15,6,4,6,2,4,4,3,5,2,1,9,1,3,1,2,2,2,1,1,1,1,1,1,1,1],[1,7,8,20,7,4,8,4,12,
30,8,8,22,8,1,2,5,2,12,8,8,6,20,4,16,8,8,11,8,8,6,4,2,4,1,1,2,1,2,8,2,2,3,8,3,
2,4,2,2,5,1,4,6,4,6,2,4,4,1,2,2,1,1,2,3,2,1,2,2,2,3,1,2,2,2,1,1,1,1,1,1,1,1],[
1,1,2,24,8,1,2,10,4,4,4,4,8,12,20,4,4,6,8,4,16,8,1,2,3,2,4,2,8,8,8,8,8,8,4,6,
8,4,8,2,4,2,4,4,4,8,1,2,6,2,4,1,1,2,1,2,4,2,2,2,2,4,1,1,2,2,2,2,2,4,2,4,1,1,2,
4,2,2,2,2,2,4,2,2,4,4,1,2,2,1,1,2,1,2,2,1,2,2,2,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[
1,1,6,20,8,3,10,4,4,4,4,8,20,12,4,4,6,4,16,8,8,1,5,2,4,2,8,8,8,8,8,8,4,6,12,8,
6,8,2,4,8,3,6,2,4,1,1,2,1,6,2,2,2,2,4,3,1,2,2,2,6,2,4,1,3,6,2,2,2,2,6,2,4,4,1,
2,2,1,1,2,3,2,1,2,2,2,1,3,2,2,2,1,1,1,1,1,1,1,1],[1,3,12,20,1,6,12,8,4,12,22,
8,12,10,8,8,3,2,3,2,12,16,6,4,12,24,8,8,12,4,3,2,6,6,4,2,4,1,3,1,4,6,2,3,4,3,
6,2,4,3,2,4,3,6,2,4,4,2,2,4,4,3,2,1,1,2,3,2,1,6,1,2,1,2,2,2,1,1,1,1,1,1,1,1],[
1,3,6,14,8,1,3,7,8,12,4,4,2,2,6,6,4,8,16,4,4,6,6,3,2,2,4,4,4,4,4,4,4,4,4,4,8,
8,2,2,2,2,6,4,2,8,4,8,16,4,4,8,1,1,2,2,1,4,4,4,1,1,1,1,1,2,2,2,1,2,4,2,2,2,2,
2,2,2,4,2,1,2,2,2,2,1,4,4,4,4,4,4,4,4,4,4,4,4,2,2,1,1,1,2,2,1,1,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,3,6,14,1,3,7,12,2,2,6,6,8,8,4,8,8,
8,2,6,6,3,4,4,4,8,8,2,6,6,4,4,4,16,2,2,2,2,4,4,4,4,16,16,4,8,1,1,2,2,2,4,8,8,
1,4,4,4,4,1,4,2,2,2,4,4,1,4,2,4,4,4,4,4,2,1,2,1,2,1,2,4,2,2,4,4,1,1,1,2,2,1],[
1,15,32,8,35,24,15,16,2,40,8,1,6,8,2,2,1],[1,9,6,8,32,9,3,3,2,18,24,9,6,16,8,
8,2,12,12,8,1,6,8,1,1,2,1],[1,3,12,20,20,1,4,12,18,12,12,3,12,16,4,1,16,5,4,
12,4,4,1,3,3,4,4,1,1,1,1,1],[1,3,9,9,18,8,5,1,3,9,9,9,18,18,3,9,5,3,24,18,3,
18,3,9,3,9,9,9,9,4,1,2,1,3,3,3,18,6,3,3,3,9,4,8,1,3,6,3,1,3,3,3,3,3,3,1,4,3,3,
1,1,1,1],[1,15,20,35,30,30,16,15,5,60,15,16,1,15,15,5,1,1],[1,21,28,7,7,21,28,
8,21,7,7,8,7,7,1],[1,21,28,7,7,21,28,8,21,7,7,8,7,7,1],[1,21,28,7,7,21,28,8,
21,7,7,8,7,7,1],[1,21,28,7,7,21,28,8,21,7,7,8,7,7,1],[1,7,28,7,28,8,1,7,8,7,1,
1],[1,7,28,7,28,8,1,7,8,7,1,1],[1,7,28,7,28,8,1,7,8,7,1,1],[1,15,11,20,5,6,10,
15,10,6,5,5,5,5,6,10,6,5,1,1],[1,3,18,18,24,64,1,9,9,36,36,36,72,6,6,12,18,18,
36,8,24,36,72,72,144,3,9,18,18,24,36,36,36,36,72,72,72,72,144,9,18,18,72,6,24,
24,24,48,72,72,144,72,72,72,16,128,96,96,3,3,4,12,24,36,36,72,72,18,18,36,72,
72,9,2,18,72,72,9,12,36,6,16,48,12,8,1,1],[1,15,12,64,35,4,12,18,18,15,3,12,
36,9,12,80,16,48,1,1,3,3,9,9,9,3,3,9,4,4,12,1,1],[1,3,18,18,24,16,1,9,9,36,36,
36,72,6,6,12,18,18,36,8,24,36,72,72,144,48,3,9,18,18,24,36,36,36,36,72,72,72,
72,144,9,18,18,72,6,24,24,24,48,72,72,144,72,72,72,8,12,16,3,3,4,12,24,36,36,
72,72,18,18,36,72,72,9,2,18,72,72,12,24,24,9,12,36,6,1,8,12,1,3,1],[1,3,18,18,
24,16,1,9,9,36,36,36,72,6,6,12,18,18,36,8,24,36,72,72,144,48,3,9,18,18,24,36,
36,36,36,72,72,72,72,144,9,18,18,72,6,24,24,24,48,72,72,144,72,72,72,4,4,12,
16,3,3,4,12,24,36,36,72,72,18,18,36,72,72,9,2,18,72,72,12,12,24,12,9,12,36,6,
1,4,4,12,1,3,1],[1,7,14,42,16,7,7,21,84,84,14,14,42,42,168,168,16,32,1,2,42,
48,56,84,112,168,42,42,42,42,56,56,168,168,168,21,21,56,4,8,8,16,14,14,42,42,
168,168,7,21,84,84,7,4,8,8,8,8,8,16,7,14,42,1,4,8,8,1,1,2,1],[1,15,12,16,35,4,
12,18,18,48,15,3,12,36,9,12,20,16,1,1,3,3,9,9,9,12,3,3,9,1,4,1,3,1],[1,15,12,
16,35,4,12,18,18,48,15,3,12,36,9,12,4,16,16,1,1,3,3,9,9,9,12,3,3,9,1,4,1,3,
1],[1,15,12,16,35,4,12,18,18,48,15,3,12,36,9,12,4,4,16,1,1,3,3,9,9,9,12,12,12,
3,3,9,4,4,12,1,1],[1,3,12,12,16,1,6,12,16,4,12,18,12,6,48,4,8,3,3,12,12,24,3,
6,4,8,4,4,16,1,1,2,1,3,3,3,6,6,3,6,4,8,12,8,4,3,3,3,6,4,4,8,4,1,1],[1,1,14,12,
16,7,6,4,28,12,12,6,12,16,32,8,8,7,3,4,24,12,6,3,4,8,4,4,16,1,1,2,1,3,6,6,3,3,
6,3,4,4,8,8,4,8,3,3,3,6,4,4,4,8,1,1],[1,1,2,24,16,1,6,6,4,12,16,12,12,6,12,16,
32,8,8,3,4,3,4,24,12,6,3,4,8,4,4,16,1,1,2,1,3,6,6,3,3,6,3,4,4,8,8,4,8,3,3,3,6,
4,4,4,8,1,1],[1,1,2,12,12,16,1,6,6,6,4,12,12,6,16,6,6,6,16,32,8,3,4,3,4,4,4,
12,12,12,3,3,3,4,4,4,4,4,16,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,8,4,4,4,4,3,3,
3,3,3,4,4,4,4,4,1,1],[1,1,14,12,16,7,6,28,8,12,6,12,16,32,8,7,3,2,24,6,12,6,3,
6,2,8,4,16,1,6,3,6,3,6,6,4,8,8,8,3,1,3,4,1,1,1],[1,15,12,16,35,18,8,18,48,15,
3,2,6,36,9,6,2,4,8,16,1,9,9,6,6,12,8,8,3,1,3,4,1,1,1],[1,1,6,12,24,16,3,6,12,
12,4,8,12,12,6,12,32,16,1,3,2,6,24,24,12,6,12,6,3,6,2,12,8,4,16,3,3,3,6,6,6,6,
6,12,12,8,4,8,8,3,1,3,6,6,4,8,3,1,1],[1,7,24,12,16,7,12,24,18,8,12,6,32,16,1,
6,3,2,24,6,12,12,24,3,6,6,2,12,4,8,16,3,6,3,3,6,6,6,6,12,12,8,4,8,8,3,1,3,6,6,
4,8,3,1,1],[1,7,6,18,24,16,7,3,9,36,36,12,12,24,2,2,6,6,24,24,36,12,12,12,32,
16,1,6,6,6,6,8,8,24,24,24,9,9,24,6,6,24,6,24,12,12,12,12,24,24,24,6,6,24,6,6,
6,4,8,8,16,1,3,12,12,3,3,3,6,3,3,6,6,6,6,6,6,12,12,6,6,6,6,24,24,6,8,8,8,4,8,
8,3,6,1,6,6,6,6,3,6,1,8,4,3,2,1,1],[1,1,12,6,36,16,3,6,24,24,12,3,6,6,3,6,2,6,
18,6,30,36,48,12,24,32,16,1,3,2,6,6,12,12,18,6,12,9,6,12,12,12,2,6,6,6,6,24,
12,6,12,12,24,24,24,24,24,6,12,12,12,12,8,12,16,1,6,3,6,3,6,3,6,3,6,6,6,12,12,
6,6,12,12,12,12,12,12,12,12,8,16,4,8,8,3,6,1,6,6,12,3,6,1,4,8,3,2,1,1],[1,1,
24,18,12,16,3,18,12,12,12,21,6,18,9,6,36,2,6,6,6,30,36,24,12,16,16,16,3,9,12,
1,9,2,12,6,6,12,12,18,6,12,3,6,2,6,6,6,6,24,12,6,12,12,24,12,12,12,24,12,12,
12,6,12,12,6,6,12,8,12,16,3,1,6,3,6,3,6,6,3,6,6,9,3,6,12,6,12,6,12,6,6,6,12,
12,12,6,12,4,12,8,4,8,8,3,6,1,3,3,3,3,6,6,3,6,1,4,8,3,1,1,1,1],[1,1,12,30,12,
16,3,12,6,12,12,12,3,6,6,15,6,36,24,2,6,6,6,30,36,12,24,32,16,6,6,12,1,3,6,2,
12,6,6,12,12,18,6,12,3,6,2,6,6,6,6,24,12,6,12,12,36,12,12,12,12,36,6,12,6,12,
6,12,8,12,16,3,1,6,3,6,3,6,6,3,6,6,3,9,6,12,6,12,6,6,12,6,18,12,12,6,12,8,16,
4,8,8,3,6,1,6,6,6,6,3,6,1,4,8,3,2,1,1],[1,7,6,42,16,7,3,21,60,36,2,2,6,6,48,
24,24,12,24,32,16,1,12,6,6,6,6,24,8,8,24,24,24,9,15,24,24,12,12,24,24,48,12,
12,24,6,4,8,8,16,3,1,3,12,12,3,3,6,6,6,12,12,12,12,24,24,6,6,12,12,8,16,4,8,8,
6,3,1,6,6,12,3,6,1,4,8,3,2,1,1],[1,7,18,30,16,7,9,15,36,60,2,2,12,6,6,36,24,
24,12,12,12,16,16,16,1,3,9,6,6,6,6,24,8,8,24,24,24,15,9,24,12,12,12,12,12,12,
12,12,24,24,6,6,6,6,24,6,4,8,8,16,3,1,3,12,12,3,3,6,3,3,6,6,6,6,6,6,6,6,6,24,
24,6,6,6,6,12,4,4,8,8,4,8,8,6,3,1,3,3,3,3,6,6,3,6,1,4,8,3,1,1,1,1],[1,3,10,30,
12,16,1,3,9,12,24,6,6,8,2,18,12,12,48,24,6,24,24,6,6,6,18,16,16,16,1,9,16,6,8,
24,3,12,6,6,12,24,12,12,6,6,12,3,4,3,12,6,6,6,12,6,12,6,12,18,18,12,6,12,12,3,
9,3,3,6,6,12,12,4,8,8,16,3,3,6,12,1,6,3,3,3,3,3,3,3,6,3,3,3,3,6,3,9,3,6,6,12,
12,12,3,3,3,3,3,6,3,12,12,4,8,4,4,4,4,4,4,8,3,3,3,1,3,3,3,3,3,3,3,3,3,3,3,1,4,
4,4,3,1,1,1,1],[1,3,22,18,12,16,1,9,3,12,24,6,6,8,2,12,18,12,48,24,6,24,24,6,
6,18,6,16,16,16,1,9,16,6,8,24,3,12,6,6,12,24,12,12,6,6,12,3,4,3,12,6,6,6,6,12,
6,12,12,18,18,12,6,12,12,3,3,9,3,6,6,12,12,4,8,8,16,3,3,6,12,1,6,3,3,3,3,3,3,
6,3,3,3,3,6,3,3,3,9,6,6,12,12,12,3,3,3,3,6,3,3,12,12,4,8,4,4,4,4,4,4,8,3,3,3,
1,3,3,3,3,3,3,3,3,3,3,3,1,4,4,4,3,1,1,1,1],[1,3,6,6,40,16,1,3,3,12,24,24,24,4,
12,36,12,12,24,48,12,24,32,16,3,12,6,24,12,12,4,12,12,4,4,8,12,12,24,12,12,12,
12,24,12,24,24,24,24,6,12,12,12,12,4,4,12,16,3,3,1,3,12,12,3,6,6,12,6,12,6,6,
12,12,12,12,12,12,12,12,8,8,8,4,4,8,4,3,6,1,6,12,6,3,6,1,4,4,4,3,2,1,1],[1,7,
6,30,16,7,3,15,24,12,4,4,24,24,18,12,12,32,16,1,1,1,6,6,24,3,6,6,30,6,24,24,3,
3,6,6,9,2,4,4,4,16,3,3,3,6,3,6,6,6,6,6,3,3,3,6,8,8,8,4,4,4,8,3,3,3,1,3,3,3,4,
4,4,3,1,1],[1,7,18,18,16,7,9,9,36,6,6,4,18,18,4,18,12,12,16,16,16,1,1,1,18,18,
9,18,18,6,12,12,12,12,3,3,6,6,9,2,4,4,4,16,3,3,3,9,6,6,6,6,9,3,3,6,4,4,4,4,4,
4,4,4,4,8,3,3,3,1,3,3,3,4,4,4,3,1,1],[1,1,18,24,16,3,6,12,6,4,24,6,8,36,12,6,
12,24,16,16,16,12,12,1,6,3,2,12,12,12,24,24,6,12,6,12,3,6,2,8,4,16,3,6,12,3,6,
6,12,3,6,6,4,4,8,8,4,8,8,3,6,1,3,6,4,8,3,1,1],[1,1,6,36,16,3,18,12,4,8,36,36,
6,12,24,32,16,24,1,9,2,12,24,24,24,6,12,6,12,3,6,2,8,4,16,3,6,12,3,6,6,12,3,6,
6,8,8,8,4,8,8,3,6,1,3,6,4,8,3,1,1],[1,25,18,16,27,13,13,6,54,4,30,12,16,16,16,
1,1,27,1,18,18,18,30,12,12,3,9,9,6,2,4,4,4,16,3,3,6,9,9,9,9,3,6,6,4,4,4,4,4,4,
4,4,4,8,3,3,3,1,3,3,3,4,4,4,3,1,1],[1,13,12,18,16,6,9,12,7,7,6,6,6,6,12,36,4,
18,12,12,16,16,16,1,1,6,6,3,12,1,6,12,12,6,18,12,6,12,12,12,3,3,6,9,6,2,4,4,4,
16,3,3,6,3,6,3,6,3,6,6,3,3,6,6,4,4,4,4,4,4,4,4,4,8,3,3,3,1,3,3,3,4,4,4,3,1,
1],[1,19,6,18,16,15,6,6,7,6,6,3,4,6,30,24,4,12,6,12,12,16,16,16,1,1,3,6,6,12,
1,6,12,6,12,6,12,12,6,12,12,12,3,6,3,3,6,6,2,4,4,4,16,3,3,6,3,3,6,6,6,3,3,6,3,
6,6,4,4,4,4,4,4,4,4,4,8,3,3,3,1,3,3,3,4,4,4,3,1,1],[1,7,18,18,16,9,18,7,6,9,4,
6,18,36,4,18,12,12,16,16,16,1,1,9,18,1,18,18,6,12,18,12,12,12,3,9,3,6,6,2,4,4,
4,16,3,3,6,9,3,6,9,3,6,3,6,6,4,4,4,4,4,4,4,4,4,8,3,3,3,1,3,3,3,4,4,4,3,1,1],[
1,7,6,6,24,16,7,3,3,12,12,12,24,4,4,36,6,12,12,12,32,16,1,1,1,3,6,6,24,6,6,6,
6,24,24,24,3,3,6,6,6,3,2,4,4,4,16,3,3,3,6,6,3,6,3,3,3,6,6,6,6,8,8,8,4,4,4,8,3,
3,3,1,3,3,3,4,4,4,3,1,1],[1,7,36,16,7,12,36,54,8,18,24,32,16,1,9,2,36,6,36,24,
24,9,6,12,2,4,8,16,3,9,6,12,9,6,12,6,8,8,8,4,8,8,3,6,1,3,6,4,8,3,1,1],[1,7,12,
12,12,16,7,6,6,24,18,12,12,24,8,12,6,24,16,16,16,1,6,3,2,12,12,12,12,12,6,12,
24,24,3,6,6,12,2,4,8,16,3,3,6,12,6,6,3,12,6,6,4,4,8,8,4,8,8,3,6,1,6,3,4,8,3,1,
1],[1,7,6,18,16,7,3,9,12,12,4,12,16,16,16,1,1,3,4,3,3,6,18,18,18,12,12,24,12,
20,4,4,4,16,1,1,3,4,3,3,3,9,3,3,3,6,3,3,3,3,3,6,6,6,8,24,24,24,4,4,4,8,1,3,3,
3,3,3,3,6,6,4,4,4,8,1,1,1],[1,7,14,18,16,7,7,9,12,36,28,36,16,12,16,32,1,8,8,
7,9,4,24,9,3,8,12,12,36,12,18,6,12,6,8,4,4,4,16,1,1,3,1,3,3,3,2,18,12,6,6,6,
18,12,12,24,24,4,4,4,8,8,8,8,3,3,3,4,12,6,4,4,4,8,1,1,1],[1,1,20,6,12,16,7,6,
6,6,7,28,6,3,12,6,24,24,16,12,16,32,1,8,3,4,7,3,4,6,6,12,3,4,4,4,12,12,12,24,
12,12,6,12,6,6,12,8,4,4,4,16,1,1,3,1,3,3,3,2,6,6,6,12,12,12,6,6,12,12,24,24,4,
4,4,4,8,4,4,4,8,3,3,3,4,12,6,4,4,4,8,1,1,1],[1,1,8,18,12,16,1,6,6,6,6,7,6,3,
12,16,12,6,24,24,16,12,16,32,1,3,4,8,3,4,3,4,6,6,12,3,4,4,4,12,12,12,24,12,12,
6,12,6,6,12,8,4,4,4,16,1,1,3,1,3,3,3,2,6,6,6,12,12,12,6,6,12,12,24,24,4,4,4,4,
8,4,4,4,8,3,3,3,4,12,6,4,4,4,8,1,1,1],[1,15,6,18,16,35,3,9,36,36,4,12,16,12,
48,15,1,3,4,8,8,9,9,24,12,36,12,12,6,6,12,18,8,4,4,4,16,1,1,1,3,3,3,3,2,18,18,
6,6,6,12,12,12,24,24,12,4,4,8,8,8,3,3,3,4,12,6,4,4,4,8,1,1,1],[1,3,6,30,16,1,
3,15,24,12,4,12,32,24,24,12,48,1,3,8,6,6,16,8,24,3,6,24,24,24,6,6,6,24,8,8,4,
16,1,2,3,3,6,2,6,6,12,24,24,6,12,24,24,4,8,8,16,8,3,6,4,12,6,4,8,8,1,1,1],[1,
7,2,6,24,16,7,1,3,12,12,12,12,24,36,32,12,16,32,1,3,3,8,6,6,24,8,8,6,8,24,24,
24,6,6,6,24,8,4,8,16,1,2,3,3,6,2,6,6,12,12,24,6,24,24,24,4,8,8,8,8,8,3,6,4,12,
6,4,8,8,1,1,1],[1,1,6,12,16,3,6,4,8,12,4,6,12,16,1,3,2,6,12,6,6,3,6,2,8,4,16,
1,6,3,6,3,6,6,4,8,8,1,3,3,4,1,1,1],[1,7,12,16,7,18,8,4,18,16,1,3,2,6,12,9,6,6,
2,4,8,16,1,6,3,6,3,6,6,4,8,8,1,3,3,4,1,1,1],[1,1,12,6,12,16,3,6,12,12,12,3,6,
6,3,6,2,6,6,6,30,36,4,12,16,1,3,2,6,6,12,12,18,6,12,3,6,2,6,6,6,6,24,12,6,6,6,
12,8,12,16,1,6,3,6,3,6,6,1,3,6,6,6,6,4,8,8,1,3,3,1,4,1,1,1],[1,7,6,18,16,7,3,
9,36,36,2,2,6,6,24,24,16,16,1,6,6,6,6,8,8,24,24,24,9,9,24,24,4,8,8,16,1,3,12,
12,3,4,12,12,4,8,8,1,6,1,4,1,1,1],[1,7,6,18,16,7,3,9,36,36,2,2,6,6,24,24,24,
24,16,1,6,6,6,6,8,8,24,24,24,9,9,24,12,24,12,24,4,8,8,16,1,3,12,12,3,6,6,6,6,
24,24,6,6,4,8,8,1,3,12,3,1,4,8,3,1,1],[1,1,12,6,12,16,3,6,12,12,12,3,6,6,3,6,
2,6,6,6,30,36,12,12,24,16,1,3,2,6,6,12,12,18,6,12,3,6,2,6,6,6,6,24,12,6,6,12,
6,12,12,12,12,8,12,16,1,6,3,6,3,6,6,3,3,6,6,6,6,6,12,12,12,12,4,8,8,1,3,3,6,6,
1,4,8,3,1,1],[1,3,6,6,16,16,1,3,3,12,12,12,24,4,12,24,12,12,24,12,12,24,16,3,
6,6,24,4,12,4,4,8,12,12,24,12,12,12,6,6,12,12,12,12,12,4,4,12,16,3,1,3,12,12,
3,3,6,6,6,12,12,12,12,6,6,4,4,8,4,1,3,6,6,3,1,4,4,4,3,1,1],[1,7,12,16,7,18,8,
30,16,1,3,2,6,12,15,6,12,2,12,4,8,16,3,3,6,6,3,6,6,6,12,12,4,8,8,1,3,3,6,6,4,
8,3,1,1],[1,1,6,12,16,3,6,4,8,12,18,12,16,1,3,2,6,12,6,9,6,2,12,12,8,4,16,3,3,
6,6,3,6,6,6,12,12,4,8,8,1,3,3,6,6,4,8,3,1,1],[1,1,20,6,12,16,7,6,12,12,12,3,
30,6,3,6,2,6,6,6,30,36,12,16,32,8,7,3,2,6,6,12,12,18,6,12,3,6,2,6,6,6,6,24,12,
6,24,12,12,6,12,8,12,16,1,1,6,3,6,3,6,6,3,6,6,6,12,12,6,4,8,8,8,3,1,2,6,3,1,4,
1,1,2,1],[1,15,6,18,16,35,3,9,36,36,2,2,6,6,24,24,12,48,15,6,6,6,6,8,8,24,24,
24,9,9,24,12,36,18,4,8,8,16,1,1,3,12,12,3,3,6,6,18,18,12,8,8,3,1,2,6,3,1,4,1,
1,2,1],[1,7,6,6,16,7,3,3,12,4,4,6,24,12,12,16,1,1,1,3,6,6,6,3,3,6,6,12,6,6,3,
2,4,4,4,16,3,6,6,6,3,3,6,6,6,3,3,3,3,6,4,4,4,8,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,
15,28,16,35,42,24,42,32,16,15,7,6,18,84,21,18,6,20,16,1,21,21,18,18,24,4,7,3,
9,1,4,3,2,1,1],[1,7,18,18,16,7,9,9,36,2,2,12,6,6,12,18,12,12,16,16,16,1,3,3,6,
6,9,18,18,18,12,12,12,12,9,9,6,6,9,6,4,8,8,16,1,3,3,3,6,6,6,6,9,9,9,18,4,4,8,
8,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,7,6,30,16,7,3,15,24,12,2,2,6,6,12,12,18,
12,12,32,16,1,3,3,6,6,3,6,6,30,6,12,12,12,12,12,3,6,9,6,6,9,6,4,8,8,16,1,3,3,
3,6,6,6,6,6,3,3,3,6,6,6,12,8,8,8,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,25,18,16,
15,21,9,2,42,12,30,12,16,16,16,3,1,15,3,6,30,18,30,12,12,9,15,9,6,6,8,12,16,1,
3,6,9,3,15,9,9,6,18,12,4,8,4,3,3,1,3,3,3,3,1,4,3,1,1,1,1],[1,13,12,18,16,15,3,
9,6,12,2,18,24,12,18,12,12,16,16,16,1,3,6,9,3,6,12,6,12,18,12,6,12,12,12,9,3,
6,6,9,6,6,8,12,16,1,3,6,3,3,6,3,6,6,6,3,6,3,6,6,12,4,8,4,8,4,3,1,3,3,3,3,3,1,
4,3,1,1,1,1],[1,7,18,18,16,9,6,7,2,9,12,2,6,36,12,18,12,12,16,16,16,1,3,9,6,3,
6,18,18,12,18,12,12,12,9,9,9,6,6,6,8,8,4,16,1,3,6,3,3,6,9,9,6,9,6,18,4,8,4,8,
4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,25,18,16,15,9,21,2,42,12,30,12,16,16,16,1,3,
15,3,6,18,30,30,12,12,9,9,15,6,6,8,12,16,1,3,6,3,9,9,15,9,6,18,12,4,8,4,3,1,3,
3,3,3,3,1,4,3,1,1,1,1],[1,7,36,16,7,4,12,54,24,18,24,32,16,1,9,6,12,18,36,24,
24,9,18,12,6,4,16,16,1,3,6,12,9,18,12,18,8,16,4,1,6,3,3,6,1,4,3,2,1,1],[1,3,
12,4,16,1,6,12,6,6,24,24,16,3,1,12,12,12,3,12,4,16,1,6,6,3,3,4,1,3,3,1,4,3,1,
1],[1,7,12,16,7,4,12,18,30,16,1,3,12,12,15,12,4,16,16,1,6,3,3,6,4,1,3,3,1,4,3,
1,1],[1,15,4,16,35,6,6,24,16,15,1,12,3,12,12,20,16,1,3,6,3,6,4,1,3,3,1,4,3,1,
1],[1,3,12,12,16,1,6,12,4,12,18,12,6,48,3,3,12,12,12,24,12,3,6,4,16,1,3,1,6,3,
3,6,3,3,6,12,3,1,2,3,6,4,1,1,1,2,1],[1,7,2,6,16,7,1,3,12,12,12,12,16,32,1,3,3,
8,6,6,24,8,8,4,16,1,6,2,2,6,6,3,3,6,4,8,8,8,3,6,6,4,8,8,1,1],[1,1,8,6,16,1,6,
7,6,3,12,6,6,6,6,16,32,1,3,4,3,4,3,3,3,3,12,12,4,4,4,4,4,16,1,3,3,1,1,1,1,3,3,
3,3,3,3,3,3,4,4,4,4,4,4,4,3,3,3,3,3,4,4,4,4,4,1,1],[1,3,6,6,16,1,3,3,12,4,12,
12,12,48,1,3,8,3,6,6,24,8,8,4,16,1,6,2,2,6,6,3,6,3,4,8,8,8,3,6,6,4,8,8,1,1],[
1,3,12,28,16,1,6,12,24,18,24,18,32,16,3,6,1,6,24,18,12,12,3,6,18,6,12,4,16,1,
3,6,12,3,6,12,6,6,12,12,8,4,1,3,3,6,6,1,4,3,1,2,1],[1,15,8,24,12,4,35,4,12,48,
48,18,12,12,24,16,18,4,12,8,12,8,15,12,12,32,3,12,12,12,16,48,36,12,12,12,24,
9,24,24,1,4,4,12,12,8,8,4,4,4,1,4,3,4,6,3,6,3,6,6,9,24,24,9,3,6,6,24,24,1,3,2,
3,2,4,4,4,4,4,4,4,4,6,3,3,6,3,6,6,6,1,1,3,3,2,2,1,1,1,4,3,1,1,1,1,1,1,1,1],[1,
3,8,36,12,4,1,1,9,30,18,12,3,3,6,12,28,12,24,6,12,12,24,4,6,24,4,12,8,12,8,8,
3,7,3,3,8,6,6,6,12,6,6,12,3,6,3,6,6,1,3,6,3,9,36,18,18,36,6,6,6,12,3,3,12,12,
3,12,12,1,4,4,12,12,8,8,4,4,4,1,1,3,3,1,3,3,3,3,3,3,3,3,9,3,3,3,3,3,9,9,12,12,
12,12,3,3,3,3,9,3,6,6,6,6,1,1,2,2,1,2,2,4,4,4,4,4,4,4,1,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,1,1,1,1,1,2,2,2,2,1,1,4,3,1,1,1,1,1,1,1,1],[1,3,20,24,12,4,1,7,3,18,30,
6,6,3,28,6,3,12,24,12,6,24,24,4,6,12,12,4,12,8,12,8,8,7,3,3,3,8,6,12,6,6,6,6,
12,3,6,3,12,4,6,12,12,24,6,12,12,6,12,24,6,12,12,6,6,6,12,3,12,12,1,4,4,12,12,
8,8,4,4,4,1,1,3,3,1,3,3,3,3,3,3,3,3,3,6,3,3,3,6,3,6,6,3,12,12,12,12,3,3,6,3,6,
3,12,12,1,1,2,2,1,2,2,4,4,4,4,4,4,4,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,1,1,2,
2,2,2,1,1,4,3,1,1,1,1,1,1,1,1],[1,15,16,35,16,15,20,16,1,1,1,1],[1,15,18,54,
24,35,9,27,108,108,36,36,72,6,6,12,18,18,36,48,72,72,8,24,36,72,72,144,36,36,
15,3,9,12,18,18,18,18,24,24,24,24,72,72,72,36,36,36,36,72,72,72,72,144,27,27,
72,18,18,72,6,24,24,24,48,72,72,144,72,72,72,36,108,72,36,36,72,72,72,72,144,
18,18,36,18,18,18,72,54,144,24,24,1,3,3,3,9,36,36,4,12,24,36,36,72,72,18,18,
36,72,72,9,9,2,18,72,72,9,9,18,9,9,36,36,36,6,6,6,18,36,36,18,18,18,36,36,18,
18,36,18,54,54,18,36,36,18,18,36,72,72,18,18,18,36,36,36,36,36,144,144,18,18,
36,36,144,144,72,72,72,72,9,9,9,18,9,9,9,36,36,72,36,36,3,9,12,36,6,6,18,18,
18,18,18,36,6,6,18,18,18,18,36,36,6,18,9,18,18,36,9,18,36,9,12,36,12,36,12,36,
18,18,18,18,36,18,18,36,18,18,36,18,18,36,36,36,36,36,36,36,36,36,36,36,36,1,
2,6,3,9,18,18,18,18,3,3,6,6,18,9,9,9,9,18,18,9,9,18,18,18,36,18,18,18,18,18,
36,36,36,36,36,36,36,3,6,18,9,9,18,1],[1,7,26,54,24,7,13,27,84,108,12,12,24,
14,14,28,42,42,36,16,168,168,36,48,48,96,32,12,12,24,24,1,2,8,42,48,56,8,84,
112,168,7,9,4,42,42,42,42,24,56,56,168,168,168,12,12,12,12,24,24,24,24,48,27,
21,56,6,6,24,8,8,6,8,48,48,48,12,12,24,36,12,24,24,24,24,48,48,48,48,24,24,24,
24,48,48,24,24,24,24,48,18,6,12,12,12,48,24,24,6,6,6,6,12,12,12,12,24,24,48,
24,48,8,16,16,8,1,1,14,14,42,42,168,168,3,7,21,84,84,6,6,12,24,24,7,2,3,12,3,
6,3,3,6,6,6,6,12,24,24,3,6,6,12,12,12,12,2,4,4,2,6,6,12,12,12,12,12,12,12,6,6,
12,12,12,12,12,12,12,12,12,12,6,6,6,6,12,12,12,12,12,18,12,12,12,12,12,48,48,
12,12,12,12,24,24,24,24,24,24,24,24,24,24,48,48,48,48,6,6,6,12,12,24,6,6,12,6,
6,18,12,12,12,12,12,12,12,12,48,48,12,12,24,24,24,24,48,48,6,12,12,48,48,24,
24,48,48,48,48,24,24,24,3,3,6,6,6,6,6,6,12,12,24,24,48,12,3,6,3,3,3,6,6,12,12,
12,24,12,12,7,3,14,42,6,6,12,12,12,12,12,12,12,12,6,6,6,6,6,6,12,12,6,6,6,6,
12,12,12,12,12,12,12,12,6,6,12,6,6,6,6,12,3,3,12,12,6,6,6,12,12,12,12,12,3,6,
4,4,8,8,24,24,12,12,12,12,12,12,6,6,12,12,6,6,12,12,6,6,12,12,12,12,12,12,12,
12,6,6,12,12,12,12,12,6,6,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,1,2,2,4,6,6,3,
3,6,6,6,12,12,12,12,1,1,2,2,2,4,6,6,12,3,3,6,6,3,3,6,6,6,6,12,6,6,3,6,3,6,6,6,
12,12,6,6,12,12,12,12,12,6,6,12,12,6,6,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,3,6,6,12,3,3,6,6,6,12,1],[1,7,18,30,24,7,9,15,
36,60,36,36,72,6,6,12,18,18,36,24,24,8,24,36,72,72,144,28,12,48,1,3,9,18,6,18,
6,24,8,8,24,24,24,36,36,36,36,72,72,72,72,144,15,9,24,18,18,72,6,24,24,24,48,
72,72,144,72,72,72,12,12,24,12,12,24,24,24,48,6,6,24,48,6,6,6,30,48,3,3,3,12,
12,4,12,24,36,36,72,72,18,18,36,72,72,3,9,2,18,72,72,4,3,3,12,12,12,12,12,12,
12,18,6,12,24,24,6,12,6,6,6,12,12,6,6,12,6,6,6,12,12,12,48,48,6,12,12,48,48,3,
3,3,3,12,12,24,12,12,1,9,12,36,6,2,6,6,12,2,6,6,6,6,12,6,6,6,12,12,6,12,3,24,
12,12,12,12,24,1,6,6,6,6,1,3,6,6,6,6,3,3,1,3,3,1],[1,7,18,46,8,7,9,23,84,92,4,
4,8,14,14,4,42,42,12,168,168,12,16,16,32,4,4,24,8,16,32,1,2,42,48,56,84,112,
168,1,3,42,42,42,42,8,56,56,168,168,168,4,4,4,4,8,8,8,8,16,23,21,56,2,2,8,2,
16,16,16,4,4,8,4,4,8,8,8,8,16,16,8,8,8,8,16,16,8,8,8,16,2,2,4,12,8,16,2,2,2,2,
4,4,4,4,16,16,16,16,16,16,16,14,14,42,42,168,168,1,7,21,84,84,2,2,4,8,8,7,1,4,
1,2,2,4,4,4,8,8,1,4,4,4,4,8,2,6,4,4,4,4,4,4,8,8,8,8,8,4,2,2,4,4,4,4,4,4,8,8,8,
8,8,4,4,4,4,16,16,4,4,4,4,8,8,8,8,8,8,16,16,16,16,2,2,4,4,2,2,4,2,2,2,4,4,4,4,
4,16,16,4,4,16,16,2,4,4,16,16,2,2,2,2,4,4,8,8,16,4,1,1,1,1,4,4,4,8,4,4,7,1,14,
42,4,4,4,4,2,2,2,2,4,4,2,2,2,2,4,4,4,4,4,4,2,4,4,4,2,2,4,4,2,4,4,4,4,4,4,4,4,
1,2,4,8,8,4,8,8,8,8,16,16,4,4,1,2,2,2,2,4,4,4,4,1,1,2,2,2,4,4,4,4,2,2,1,2,1,2,
1,1,2,2,1,1],[1,7,26,54,24,7,13,27,84,108,36,36,72,18,18,12,54,54,36,168,168,
8,24,36,72,72,144,12,12,24,24,1,2,42,48,56,84,112,168,3,9,54,42,54,42,24,56,
56,168,168,168,36,36,36,36,72,72,72,72,144,27,21,56,18,18,72,6,24,24,24,48,72,
72,144,72,72,72,12,12,24,12,12,24,24,24,24,48,48,24,24,24,24,48,48,24,24,24,
48,6,6,12,12,48,6,6,6,6,12,12,12,12,48,48,14,14,42,42,168,168,3,9,21,84,84,4,
12,24,36,36,72,72,18,18,36,72,72,7,9,2,18,72,72,3,6,6,12,24,24,3,12,12,12,12,
6,6,12,6,12,12,12,12,6,12,6,6,12,12,12,12,12,12,12,12,12,24,24,6,12,6,12,12,
12,12,48,48,12,12,12,12,24,24,24,24,24,24,48,48,48,48,6,6,12,12,6,6,12,6,6,6,
12,12,12,12,12,48,48,12,12,48,48,6,12,12,48,48,6,6,6,6,12,12,24,24,48,12,3,3,
3,3,12,12,12,24,12,12,7,9,12,36,14,42,6,2,6,6,12,12,12,12,12,2,4,4,12,12,12,
12,12,12,24,24,6,6,6,6,12,12,6,6,6,6,12,12,12,12,12,12,6,6,6,6,12,6,6,12,12,
12,12,6,12,12,12,12,12,12,24,24,12,6,12,3,6,24,1,1,6,6,6,6,12,12,12,12,6,6,6,
12,12,12,12,6,3,6,6,3,3,6,6,1,2,3,3,6,1],[1,7,10,22,8,7,5,11,36,44,4,4,8,2,2,
4,6,6,12,24,24,12,16,16,32,20,4,16,32,32,1,1,3,6,6,6,6,8,8,8,24,24,24,4,4,4,4,
8,8,8,8,16,11,9,24,2,2,8,2,16,16,16,4,4,8,4,4,8,8,8,16,2,2,8,16,16,2,2,2,26,
16,16,16,16,16,16,1,1,3,12,12,2,2,4,8,8,3,1,4,4,1,4,4,1,4,4,4,4,8,4,4,8,12,12,
8,8,8,8,8,4,4,8,8,16,16,8,2,2,4,4,2,2,4,2,2,2,4,4,4,16,16,2,4,4,16,16,1,1,1,1,
4,4,8,4,4,1,1,6,2,4,4,2,2,4,8,4,1,4,8,8,4,4,4,4,4,4,4,1,2,1,2,1,1,2,2,2,2,2,1,
1,1,1,1],[1,7,10,22,8,7,5,11,36,44,4,4,8,2,2,4,6,6,12,24,24,12,16,16,32,4,20,
16,64,1,1,3,6,6,6,6,8,8,8,24,24,24,4,4,4,4,8,8,8,8,16,11,9,24,2,2,8,2,16,16,
16,4,4,8,4,4,8,8,8,16,2,2,8,32,48,10,2,2,16,2,16,16,16,1,1,3,12,12,2,2,4,8,8,
3,1,4,1,4,4,4,1,4,4,12,4,4,12,16,16,16,4,4,16,16,8,8,8,8,4,4,2,2,4,4,2,2,4,2,
2,2,4,4,4,16,16,2,4,4,16,16,1,1,1,1,4,4,8,4,4,1,1,6,8,2,2,8,4,4,2,1,4,4,4,4,4,
4,8,4,8,4,1,1,2,2,1,2,2,2,2,1,2,1,1,1,1,1],[1,7,10,38,8,7,5,19,52,44,4,4,8,2,
2,4,6,6,28,48,24,24,12,16,16,32,12,4,48,32,1,16,1,7,12,6,6,6,6,16,8,8,8,24,24,
24,4,4,4,4,8,8,8,8,16,11,13,24,2,2,8,2,16,16,16,4,20,8,20,28,32,16,16,32,8,8,
8,16,6,10,20,24,48,2,2,2,6,16,16,16,16,16,8,2,1,2,1,3,12,12,2,2,4,8,8,3,1,4,1,
2,4,4,2,1,4,4,12,4,8,2,8,4,4,12,12,8,8,8,8,8,8,8,4,16,16,8,8,8,4,10,16,8,8,16,
16,16,16,4,2,2,4,4,2,2,4,6,6,2,12,16,12,8,4,4,16,16,2,4,4,16,16,8,16,8,16,2,4,
4,4,1,1,2,1,1,4,4,8,4,4,1,1,4,4,4,4,4,8,8,4,6,4,4,2,4,8,4,4,1,4,8,4,2,4,4,4,4,
2,4,8,8,4,8,8,8,8,4,4,8,4,4,4,2,2,2,2,1,1,2,2,2,2,2,2,1,2,2,8,8,8,8,1,1,1,4,
1],[1,7,10,22,24,7,5,11,36,44,12,12,24,2,2,4,6,6,12,24,24,36,16,16,32,32,4,12,
8,24,48,1,1,3,6,6,6,6,8,8,8,24,24,24,4,4,4,4,8,8,8,8,16,11,9,24,6,6,24,8,8,6,
8,16,16,16,4,4,24,4,4,8,8,8,8,16,16,16,16,24,24,8,8,16,2,2,12,4,24,32,16,8,8,
6,6,6,2,16,16,24,16,8,1,1,3,12,12,2,2,4,8,8,3,2,3,4,3,6,4,4,1,2,2,4,4,4,8,4,2,
2,2,4,4,4,6,2,8,12,4,4,4,4,4,4,4,4,4,4,4,4,16,16,16,16,2,6,6,12,12,24,2,2,4,2,
2,2,4,4,4,4,4,4,4,16,16,4,4,8,8,8,8,16,16,6,4,4,16,16,24,24,24,3,6,1,1,1,2,2,
4,4,4,8,4,4,1,1,2,2,4,4,4,4,4,4,4,4,2,2,2,2,2,2,4,4,2,2,8,8,1,4,12,2,2,2,4,4,
2,2,6,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,2,2,2,2,1,1,2,2,1,1,2,2,2,1,2,2,4,
4,4,4,4,4,4,4,1,1,1,2,2,1],[1,7,10,38,8,7,5,19,52,44,4,4,8,2,2,4,6,6,12,32,40,
40,12,16,16,32,12,36,16,32,1,1,3,8,6,10,6,10,16,8,8,8,24,40,24,4,4,4,4,8,8,8,
8,16,11,13,24,2,2,8,2,16,16,16,4,20,24,12,12,8,40,32,32,32,2,2,8,8,16,18,6,6,
48,6,16,16,16,32,8,1,2,1,5,12,12,2,2,4,8,8,3,1,4,3,12,2,1,4,4,4,8,8,2,2,2,4,8,
4,4,4,2,16,16,8,8,8,8,12,8,8,8,10,4,4,8,4,2,6,4,4,6,6,12,32,32,6,2,2,8,8,4,4,
4,32,32,2,10,16,8,16,16,24,24,1,3,8,2,1,1,4,4,8,8,4,1,1,2,6,4,4,4,4,4,8,2,2,2,
4,2,4,4,8,4,4,4,1,4,12,2,2,4,2,4,2,2,6,4,8,4,8,4,8,4,4,4,4,4,8,4,4,4,4,2,2,2,
2,1,1,2,2,1,1,2,2,2,1,2,2,4,4,4,4,4,4,4,4,1,1,1,2,2,1],[1,7,18,62,8,7,9,31,
100,92,4,4,8,14,14,4,42,42,28,48,168,168,12,16,16,32,12,20,8,8,32,1,2,42,48,
56,16,84,112,168,1,7,12,42,42,42,42,16,8,56,56,168,168,168,4,4,4,4,8,8,8,8,16,
23,25,56,2,2,8,2,16,16,16,4,20,8,20,28,8,8,8,8,16,16,32,8,8,8,8,16,32,32,16,
64,8,32,24,24,16,6,10,20,4,4,16,32,16,10,2,2,16,6,4,4,4,4,16,16,16,8,2,14,14,
42,42,168,168,1,2,7,21,84,84,2,2,4,8,8,7,1,4,1,4,2,4,2,2,4,4,8,8,2,1,4,4,4,8,
4,2,8,4,4,2,2,8,8,4,8,4,4,4,4,8,32,32,8,8,2,2,4,4,16,16,4,4,4,4,16,16,4,4,4,
10,16,4,4,4,4,16,16,16,32,16,32,4,4,4,4,8,8,8,8,8,8,16,16,16,16,16,16,4,2,2,4,
4,2,2,4,16,16,6,6,2,12,16,12,4,4,4,4,8,16,16,4,4,16,16,2,8,12,4,16,16,8,16,8,
16,2,4,2,2,2,2,4,4,4,8,8,16,4,8,1,1,4,2,1,1,4,4,4,8,4,4,7,1,14,42,4,4,4,4,4,4,
4,4,2,2,2,2,4,4,4,16,16,32,2,2,2,2,4,4,8,8,16,8,4,4,4,4,8,4,4,2,4,4,16,2,4,4,
4,2,8,4,4,4,4,8,4,2,1,2,4,8,4,2,4,4,4,4,2,4,8,8,4,8,8,8,4,4,4,4,4,4,4,4,4,1,2,
2,2,2,8,2,4,2,4,4,4,4,2,8,4,1,1,2,2,1,2,1,2,2,1,2,1,2,4,4,4,4,2,2,2,2,8,8,2,1,
1,2,1,2,2,2,2,1],[1,7,18,62,8,7,9,31,100,92,4,4,8,14,14,4,42,42,12,32,184,184,
12,16,16,32,12,20,8,8,32,1,2,42,48,56,84,112,168,1,3,8,42,46,42,46,16,8,56,56,
168,184,168,4,4,4,4,8,8,8,8,16,23,25,56,2,2,8,2,16,16,16,4,20,24,12,12,8,8,8,
8,16,16,8,8,8,8,16,32,32,16,64,8,40,32,32,32,2,2,8,4,4,16,32,16,10,6,6,32,6,4,
4,4,4,16,32,8,14,14,42,42,168,168,1,2,7,23,84,84,2,2,4,8,8,7,1,4,3,8,2,2,4,8,
8,2,1,4,4,4,8,8,2,2,2,4,8,2,2,8,8,4,4,2,4,4,4,4,32,32,12,8,2,2,4,16,16,4,4,4,
4,16,16,4,6,4,4,4,4,4,4,16,16,16,32,16,32,4,4,4,4,8,8,8,8,8,8,16,16,16,16,4,2,
6,4,4,6,6,12,32,32,6,2,2,8,8,4,4,4,4,4,16,16,4,4,32,32,2,10,16,8,16,16,24,24,
2,2,2,2,4,4,8,8,16,4,8,1,3,8,2,1,1,4,4,4,8,8,4,7,1,14,42,2,6,4,4,4,4,4,4,4,2,
2,2,2,4,4,16,16,32,2,2,2,2,4,4,8,8,16,4,4,4,4,4,4,8,2,2,2,4,2,4,4,16,4,4,2,8,
4,4,4,4,8,4,2,4,1,2,4,12,2,2,4,2,4,2,2,6,4,8,4,8,4,8,4,4,4,4,8,8,8,4,1,2,2,2,
2,8,2,4,2,4,4,4,4,2,8,4,1,1,2,2,2,2,4,1,2,1,2,4,4,4,4,4,2,2,4,4,4,4,2,1,1,2,1,
2,4,2,1],[1,15,18,54,8,35,9,27,108,108,4,4,8,14,14,4,42,42,12,16,168,168,12,
16,16,32,36,12,8,8,16,15,2,42,48,56,84,112,168,1,3,4,42,42,42,42,8,8,56,56,
168,168,168,4,4,4,4,8,8,8,8,16,27,27,72,2,2,8,2,16,16,16,36,108,8,12,12,8,8,8,
8,16,16,8,8,8,8,16,16,16,16,32,24,16,16,16,32,6,6,12,4,4,8,16,16,6,2,2,8,54,4,
4,4,4,16,32,8,1,14,14,42,42,168,168,1,1,7,21,84,84,2,2,4,8,8,9,1,4,9,1,2,2,2,
4,8,8,3,3,4,4,4,4,8,2,4,8,4,2,2,4,4,4,42,42,4,4,4,4,16,16,4,8,8,2,2,4,8,8,4,4,
4,4,8,8,6,2,4,4,4,4,4,8,8,16,16,16,16,4,4,4,4,8,8,8,8,8,8,16,16,16,16,54,54,2,
4,4,2,2,4,8,8,6,6,6,12,12,12,4,4,4,4,16,16,4,4,16,16,6,4,8,8,32,32,24,24,2,2,
2,2,4,4,8,8,16,4,4,9,1,1,2,3,3,1,4,4,4,8,4,8,7,1,14,42,14,42,2,2,2,2,4,4,4,4,
4,2,2,2,2,2,4,4,8,8,16,2,2,2,2,4,4,4,4,8,4,4,4,4,2,4,8,4,21,2,2,2,2,4,8,4,4,4,
2,4,4,4,4,4,4,4,1,1,2,4,12,2,2,2,4,2,2,4,6,4,8,8,4,4,8,4,4,4,4,8,4,4,4,4,4,1,
7,1,2,2,2,4,2,2,2,4,4,4,4,7,1,4,2,1,1,1,1,2,2,2,2,2,1,2,1,2,4,4,4,4,2,2,2,2,4,
4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,7,26,38,24,7,13,19,36,76,36,36,72,6,6,36,18,
18,60,16,24,24,8,24,36,72,72,144,20,12,24,8,16,1,8,8,9,15,4,18,6,18,6,40,8,8,
24,24,24,36,36,36,36,72,72,72,72,144,19,9,24,18,18,72,6,24,24,24,48,72,72,144,
72,72,72,20,20,24,44,20,16,48,32,8,24,24,8,16,16,16,16,24,24,24,48,22,10,12,4,
12,8,16,6,6,6,10,24,8,16,48,8,1,1,5,3,3,12,12,4,12,24,36,36,72,72,18,18,36,72,
72,3,9,2,18,72,72,3,3,3,2,6,4,5,12,12,4,12,2,4,4,4,4,2,6,4,4,6,4,12,8,4,4,6,
12,2,6,4,12,4,4,4,8,8,8,24,24,16,16,6,12,6,18,12,4,4,12,4,8,16,16,8,8,24,24,
16,16,10,6,12,12,6,6,12,10,10,22,12,20,4,12,8,12,12,48,48,6,12,12,48,48,24,24,
3,3,6,2,4,4,3,3,5,3,12,12,24,12,12,1,9,12,36,6,2,6,6,2,4,6,4,12,2,8,8,24,8,16,
2,2,2,6,2,2,4,4,4,4,12,8,6,6,6,6,12,4,6,2,12,1,3,2,2,6,4,4,12,8,4,6,12,3,4,12,
2,2,2,4,2,2,4,6,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,1,6,6,6,3,1,2,4,4,2,6,3,
1,2,4,4,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,2,2,2,2,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,
1],[1,7,18,46,24,7,9,23,52,60,36,36,72,6,6,12,18,18,52,48,24,24,8,24,36,72,72,
144,20,12,16,32,1,16,3,13,12,18,6,18,6,16,24,8,8,24,24,24,36,36,36,36,72,72,
72,72,144,15,13,24,18,18,72,6,24,24,24,48,72,72,144,72,72,72,12,28,24,28,36,
32,64,16,16,32,32,32,24,24,24,48,10,14,20,8,16,16,6,6,6,10,16,32,48,8,2,3,2,3,
3,12,12,4,12,24,36,36,72,72,18,18,36,72,72,3,9,2,18,72,72,3,2,4,4,8,2,3,12,12,
4,12,2,8,4,4,4,4,8,6,8,16,8,6,12,4,8,8,8,16,16,16,32,32,6,12,6,4,10,16,8,8,16,
16,16,16,16,32,32,4,6,6,12,12,6,6,12,10,10,6,12,16,20,8,16,12,12,48,48,6,12,
12,48,48,8,16,8,16,2,4,4,8,4,3,3,2,3,3,12,12,24,12,12,1,9,12,36,6,2,6,4,8,6,4,
12,2,16,16,32,4,4,8,4,8,8,16,6,6,6,6,12,4,6,2,12,2,4,4,8,8,16,4,6,12,3,4,8,4,
2,4,4,4,4,2,4,8,8,4,8,8,8,4,4,4,4,4,4,4,4,4,1,6,6,6,2,4,8,2,6,2,4,8,1,1,2,2,1,
1,2,2,2,3,3,4,4,4,4,2,2,2,2,8,8,2,1,1,2,1,2,2,2,2,1],[1,3,30,30,32,1,13,9,12,
48,40,40,72,12,6,36,30,24,36,48,24,8,24,40,72,88,160,16,4,4,40,16,16,1,8,9,16,
6,8,24,9,9,24,18,6,24,12,24,12,12,36,40,36,40,72,80,72,72,144,9,4,20,18,72,4,
4,6,4,24,24,24,48,72,72,144,80,72,72,4,4,12,16,20,16,20,24,32,8,64,12,40,40,
12,24,32,8,4,8,8,16,16,16,16,6,8,20,24,12,4,2,10,6,10,6,32,32,4,8,8,8,8,8,1,3,
3,6,12,3,3,6,4,12,24,36,36,72,72,20,18,36,72,72,1,9,2,18,72,72,1,1,3,5,8,8,12,
12,1,3,2,6,4,2,2,2,2,2,2,4,2,6,2,2,12,4,2,4,2,2,4,4,4,4,4,8,8,8,8,4,8,2,6,2,2,
12,2,2,6,6,6,6,12,24,12,24,4,8,6,6,8,20,6,24,24,10,10,6,6,12,12,12,12,12,20,
32,32,32,24,32,24,2,2,4,2,6,8,6,10,8,2,16,24,24,2,4,4,12,12,8,8,8,8,8,8,8,4,8,
24,24,1,3,3,8,5,3,6,8,12,12,24,6,1,1,3,6,2,4,9,12,36,1,6,6,2,2,2,4,2,2,4,4,4,
4,8,8,2,2,8,6,6,6,6,6,6,12,12,24,2,2,2,6,2,2,12,2,2,4,8,4,2,2,1,1,1,2,2,4,4,3,
2,6,2,2,6,6,12,12,12,2,4,3,4,12,2,2,2,2,2,2,2,2,2,6,2,4,4,2,2,2,2,2,2,2,2,2,2,
2,2,4,2,2,2,4,4,4,4,8,4,4,2,2,1,1,2,2,3,4,6,6,6,6,2,2,3,4,1,2,2,2,1,1,1,1,2,2,
2,2,2,3,3,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,3,22,38,
32,1,9,13,12,48,40,40,72,12,6,12,30,24,44,16,48,24,8,24,40,88,72,160,16,4,4,
16,24,16,16,1,9,16,8,6,8,24,3,11,4,24,18,6,24,12,24,12,12,40,36,40,36,72,72,
72,80,144,9,4,20,18,72,4,4,6,4,24,24,24,48,72,72,144,72,80,72,4,4,8,4,20,16,
20,16,32,24,32,8,32,24,12,12,24,32,16,16,24,8,4,8,8,16,16,16,16,2,4,12,8,8,24,
4,12,2,6,10,6,10,16,32,16,4,8,8,8,8,8,1,3,3,6,12,3,3,6,4,12,24,36,36,72,72,18,
20,36,72,72,1,9,2,18,72,72,1,1,4,5,3,8,4,12,12,3,1,2,6,4,2,2,2,2,2,2,2,4,2,4,
2,4,2,8,4,4,2,4,2,2,4,4,4,4,8,8,8,8,4,8,2,2,2,2,4,2,4,2,8,6,6,6,6,8,12,8,12,
16,16,4,8,2,4,12,6,6,8,8,24,24,6,6,10,10,16,16,12,12,20,12,12,12,24,32,24,32,
16,16,2,2,4,2,2,4,6,8,8,10,8,2,8,24,24,2,12,12,4,4,8,8,8,8,8,8,8,4,8,24,24,1,
5,3,4,3,3,8,6,4,12,12,24,6,1,3,1,6,2,4,9,12,36,1,6,2,4,2,2,2,2,4,2,4,4,4,4,8,
8,2,2,6,6,6,6,6,6,8,12,12,8,16,2,2,2,2,2,4,4,2,8,2,2,4,8,4,2,2,1,1,1,2,2,4,4,
1,2,2,2,4,2,2,6,6,4,12,12,8,2,4,3,4,12,2,2,2,2,2,2,2,2,2,6,4,4,2,2,2,2,2,2,2,
2,2,2,2,2,2,4,2,2,2,4,4,4,4,8,4,4,2,2,1,1,2,2,1,2,6,6,6,6,4,2,2,1,2,4,1,2,2,2,
1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,
1],[1,7,18,30,40,7,9,15,36,60,44,44,88,6,6,12,18,18,36,24,24,8,24,60,72,72,
144,32,12,20,8,8,32,1,3,9,18,6,18,6,24,8,8,24,24,24,36,36,36,36,72,72,72,72,
144,15,9,24,22,22,88,8,8,10,8,24,24,24,48,72,72,144,72,72,72,12,12,40,12,12,8,
8,8,8,16,16,16,16,24,40,24,24,48,32,32,32,32,6,6,4,4,16,8,8,10,10,10,6,24,16,
16,16,48,8,3,3,3,12,12,4,12,24,36,36,72,72,18,18,36,72,72,3,2,11,2,18,72,72,5,
6,3,2,2,12,12,4,12,8,2,2,2,4,4,4,2,2,4,6,4,4,4,4,4,4,4,4,4,8,8,8,8,16,16,16,
16,6,12,8,16,6,12,6,8,16,6,6,10,20,20,24,6,6,12,6,6,6,12,4,4,4,4,4,4,16,16,12,
12,8,8,8,8,48,48,10,12,12,48,48,16,16,16,16,16,24,16,24,24,5,6,3,3,3,2,2,4,12,
12,24,12,12,8,1,9,12,36,6,2,6,2,2,6,4,4,4,4,4,12,4,4,4,8,8,8,8,16,16,2,6,6,6,
6,12,8,16,8,2,2,6,2,2,2,2,4,4,4,12,8,8,6,12,4,8,3,4,12,2,2,2,4,4,2,2,6,4,4,4,
4,4,4,4,4,4,4,4,8,4,8,4,8,4,1,6,2,6,6,2,4,4,6,4,2,4,4,4,1,1,2,2,2,2,4,3,3,4,4,
4,4,4,2,2,4,4,4,4,2,1,1,2,1,2,4,2,1],[1,7,10,54,8,7,5,27,68,44,4,4,8,2,2,4,6,
6,28,80,40,40,12,16,16,32,20,20,16,32,1,16,1,7,20,6,10,6,10,32,8,8,8,24,40,24,
4,4,4,4,8,8,8,8,16,11,17,24,2,2,8,2,16,16,16,4,36,24,28,36,32,32,16,16,64,8,
40,32,32,32,6,10,28,8,16,16,10,6,6,32,10,16,32,32,8,8,2,1,4,1,5,12,12,2,2,4,8,
8,3,1,4,3,8,2,4,4,8,4,1,4,4,4,8,2,2,2,8,16,2,4,8,4,4,4,4,8,4,2,8,8,16,12,8,4,
8,8,16,8,8,8,8,8,4,6,4,4,4,10,16,8,16,8,16,16,16,16,8,2,6,4,4,6,6,12,32,32,10,
6,2,20,24,12,8,4,4,32,32,2,10,16,8,16,16,8,16,8,16,24,24,2,4,4,4,1,3,8,4,1,1,
4,4,8,8,4,1,1,2,6,4,4,4,4,4,4,8,4,4,8,8,8,4,4,8,2,2,4,2,4,2,2,4,4,4,4,4,2,4,1,
4,12,4,8,4,2,2,4,8,2,4,4,2,4,8,4,2,2,4,6,2,4,4,8,4,8,8,16,4,8,8,4,8,8,8,4,4,4,
4,4,4,4,8,16,4,4,4,2,2,2,2,1,1,1,1,1,1,2,4,2,2,2,2,4,2,2,2,1,8,4,4,8,4,4,2,2,
2,2,2,2,8,4,4,8,4,4,2,2,2,2,1,1,1,2,2,1],[1,7,18,46,8,7,9,23,52,60,4,4,8,2,2,
28,6,6,36,48,40,40,12,16,16,32,20,20,8,24,16,1,8,8,7,9,12,6,10,6,10,16,24,8,8,
24,40,24,4,4,4,4,8,8,8,8,16,15,13,24,2,2,8,2,16,16,16,12,28,24,44,20,16,16,8,
8,8,8,16,48,32,8,40,32,32,32,18,6,20,12,4,8,16,10,6,6,32,10,8,24,16,32,8,8,1,
1,3,2,1,5,12,12,2,2,4,8,8,3,1,4,3,8,3,3,6,2,4,2,3,4,4,4,8,2,2,2,12,4,8,2,4,8,
4,4,6,2,4,4,4,2,4,4,4,12,8,12,8,6,2,4,4,4,4,12,8,16,16,4,6,4,4,18,12,4,12,4,4,
8,16,16,8,8,8,8,4,6,6,4,4,6,6,12,32,32,10,6,18,20,8,12,4,4,4,4,32,32,2,10,16,
8,16,16,24,24,24,24,3,3,2,2,4,1,3,8,2,3,1,4,4,8,8,4,1,1,2,6,4,2,2,4,4,4,6,2,4,
6,2,2,2,4,4,4,4,4,4,4,8,2,2,4,2,4,2,3,1,2,2,2,8,4,2,4,1,4,12,4,12,2,2,2,6,4,2,
4,4,2,6,2,4,4,2,2,4,6,6,4,8,4,4,4,12,4,8,4,4,4,8,4,8,4,4,4,4,4,4,4,4,4,4,4,4,
12,8,4,4,4,2,2,1,1,2,2,1,1,1,1,1,3,2,2,2,2,3,1,2,2,2,2,1,4,4,4,4,4,4,4,4,2,2,
2,2,2,2,4,4,4,4,4,4,4,4,1,1,2,1,1,2,1,1,1,2,2,1],[1,7,10,38,24,7,5,19,52,44,
12,12,24,2,2,4,6,6,28,48,24,24,36,16,16,32,32,28,12,8,8,32,1,16,1,7,12,6,6,6,
6,16,8,8,8,24,24,24,4,4,4,4,8,8,8,8,16,11,13,24,6,6,24,8,8,6,8,16,16,16,4,20,
24,20,28,8,8,8,8,16,16,16,16,64,16,16,32,24,24,8,8,48,6,10,20,4,4,16,32,16,8,
8,6,6,6,30,16,24,16,8,8,2,1,2,1,3,12,12,2,2,4,8,8,3,2,3,4,4,3,6,2,4,4,2,1,2,2,
4,4,4,8,4,2,2,2,2,4,4,4,16,8,4,4,2,2,8,8,4,12,12,4,4,16,4,4,4,4,4,4,4,16,8,8,
4,8,8,8,8,4,10,16,8,8,16,16,16,16,4,2,6,6,12,12,24,2,2,4,6,6,2,12,16,12,4,4,4,
4,4,4,16,16,16,4,4,8,8,8,8,16,16,6,4,12,16,16,24,8,16,8,16,24,24,2,4,4,4,3,6,
1,2,1,1,2,2,4,4,4,8,4,4,1,1,2,2,8,4,4,4,4,8,4,4,4,4,4,4,4,4,4,8,8,2,2,4,6,2,2,
2,2,4,4,2,4,4,4,1,4,4,8,4,12,2,2,2,2,8,4,4,4,8,4,4,2,2,4,6,2,4,8,8,8,4,4,4,16,
4,4,4,4,4,8,8,4,4,4,4,8,16,4,4,4,4,4,4,4,4,2,2,2,2,1,1,1,1,1,1,2,2,2,2,4,2,2,
2,2,4,1,4,4,8,4,4,8,2,2,2,2,2,2,8,4,4,8,4,4,2,2,2,2,1,1,1,2,2,1],[1,15,10,30,
24,35,5,15,60,60,12,12,24,2,2,4,6,6,12,16,24,24,36,16,16,32,32,20,36,8,8,16,
15,1,3,4,6,6,6,6,8,8,8,8,24,24,24,4,4,4,4,8,8,8,8,16,15,15,40,6,6,24,8,8,6,8,
16,16,16,20,60,24,12,12,8,8,8,8,16,16,16,16,32,24,72,16,16,16,32,6,6,12,4,4,8,
16,16,8,8,18,6,6,24,30,24,32,8,8,1,1,1,1,3,12,12,2,2,4,8,8,5,2,3,4,5,3,6,6,3,
3,2,2,4,4,4,4,8,2,2,2,2,4,4,4,8,4,8,12,2,2,4,4,4,6,6,4,4,8,4,4,4,4,4,4,4,8,16,
16,4,8,8,18,6,12,30,30,6,6,12,12,24,2,2,4,8,8,6,6,6,12,12,12,4,4,4,4,4,4,8,16,
16,4,4,8,8,8,8,16,16,18,4,8,8,32,32,24,24,24,24,24,5,3,6,1,2,3,3,1,2,2,4,4,4,
8,4,8,1,1,2,6,2,2,2,2,4,2,2,4,4,4,4,4,4,4,4,4,4,6,6,4,8,4,2,2,3,2,2,2,2,2,2,2,
4,8,4,3,1,4,12,4,12,2,2,2,2,4,2,2,4,4,4,4,6,6,2,2,4,6,6,12,8,8,4,4,8,4,4,4,4,
4,4,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,8,12,4,4,1,1,2,2,2,2,1,1,1,1,3,1,2,2,2,2,3,
1,2,2,2,2,1,4,4,4,4,4,4,4,4,2,2,2,2,2,2,4,4,4,4,4,4,4,4,1,1,2,1,1,2,1,1,1,2,2,
1],[1,15,10,30,8,35,5,15,60,60,4,4,8,2,2,4,6,6,12,16,24,24,12,16,16,32,20,12,
16,16,32,15,1,3,4,6,6,6,6,8,8,8,8,24,24,24,4,4,4,4,8,8,8,8,16,15,15,40,2,2,8,
2,16,16,16,20,60,8,12,12,24,16,16,16,32,6,6,12,8,8,16,32,32,6,2,2,8,30,16,16,
32,32,8,1,1,1,1,3,12,12,2,2,4,8,8,5,1,4,5,1,2,4,4,8,3,3,4,4,8,8,8,2,4,8,4,8,8,
8,8,4,4,8,8,8,6,6,4,8,8,4,4,8,8,8,8,8,16,16,6,2,4,30,30,2,4,4,2,2,4,8,8,6,6,6,
12,12,12,4,4,16,16,6,4,8,8,32,32,24,24,5,1,1,2,3,3,1,4,4,8,4,8,1,1,2,6,2,2,2,
2,4,2,2,4,8,4,3,2,2,4,4,4,2,2,4,4,4,8,1,1,4,12,2,4,4,2,2,4,2,2,4,6,4,8,8,4,4,
8,8,8,16,4,4,8,8,4,4,8,8,8,4,1,1,2,1,1,2,1,1,2,2,1,1,2,1,1,2,4,4,4,4,1,2,2,2,
2,2,2,4,4,4,4,8,2,2,1,1,2,1,2,2,2,1],[1,7,18,30,8,7,9,15,36,60,4,4,8,2,2,28,6,
6,36,16,24,24,12,16,16,32,28,20,8,8,32,1,8,8,7,9,4,6,6,6,6,24,8,8,24,24,24,4,
4,4,4,8,8,8,8,16,15,9,24,2,2,8,2,16,16,16,12,12,8,36,12,16,16,8,8,8,8,16,16,8,
8,8,16,18,6,12,4,4,16,32,16,10,2,2,16,30,8,8,32,48,8,1,1,3,1,3,12,12,2,2,4,8,
8,3,1,4,4,1,4,3,3,2,2,8,3,4,4,4,8,12,2,4,4,8,8,4,4,8,8,2,2,8,8,4,12,12,4,4,4,
4,16,16,8,2,2,8,8,8,4,4,4,4,4,4,18,12,4,4,4,4,16,16,8,8,8,8,6,2,4,4,2,2,4,6,6,
18,12,12,4,4,4,4,16,16,2,4,4,16,16,24,24,3,3,2,2,4,1,1,3,1,4,4,8,4,4,1,1,2,2,
4,2,2,2,2,2,2,4,4,4,4,4,6,4,2,4,8,1,1,4,2,2,4,4,2,1,4,12,4,4,2,2,2,4,2,2,4,6,
4,4,4,4,4,4,4,8,4,4,4,4,16,8,4,8,8,8,8,8,4,4,1,1,2,1,1,2,1,2,1,2,1,1,2,1,4,4,
4,1,4,2,1,2,2,2,2,2,2,4,4,4,4,8,2,2,1,1,2,1,2,2,2,1],[1,15,10,30,8,35,5,15,60,
60,4,4,8,2,2,4,6,6,12,16,24,24,12,16,16,32,20,12,16,16,32,15,1,3,4,6,6,6,6,8,
8,8,8,24,24,24,4,4,4,4,8,8,8,8,16,15,15,40,2,2,8,2,16,16,16,20,60,8,12,12,24,
16,16,16,32,6,6,12,8,8,16,32,32,6,2,2,8,30,8,8,8,8,32,32,8,1,1,1,1,3,12,12,2,
2,4,8,8,5,1,4,5,1,2,4,4,8,16,16,3,3,4,4,8,8,8,2,4,8,4,4,4,8,8,8,6,6,4,8,8,4,4,
8,16,16,4,4,4,4,8,8,6,2,4,30,30,2,4,4,2,2,4,8,8,6,6,6,12,12,12,4,4,16,16,6,4,
8,8,32,32,24,24,5,1,1,2,3,3,1,4,4,8,4,8,1,1,2,6,2,2,2,2,4,2,2,4,8,4,3,2,2,4,4,
4,8,8,4,8,4,4,8,8,1,1,4,4,12,2,2,2,4,2,2,4,6,4,8,8,4,4,8,4,4,8,8,4,4,8,8,8,4,
8,1,1,2,2,1,1,1,1,2,2,2,4,4,2,2,1,4,4,2,2,4,4,2,4,4,1,2,2,1,1,1],[1,7,10,22,
24,7,5,11,36,44,12,12,24,2,2,4,6,6,12,24,24,36,16,16,32,32,4,12,40,24,16,1,1,
3,6,6,6,6,8,8,8,24,24,24,4,4,4,4,8,8,8,8,16,11,9,24,6,6,24,8,8,6,8,16,16,16,4,
4,24,4,4,8,8,8,8,16,16,16,16,24,24,8,8,16,2,2,12,20,8,48,8,8,6,6,6,2,8,8,8,8,
16,32,16,24,16,8,1,1,3,12,12,2,2,4,8,8,3,2,3,4,3,6,4,4,4,8,4,16,16,1,2,2,4,4,
12,4,2,2,2,4,4,4,6,10,4,12,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,4,8,8,8,8,8,8,2,
6,6,12,12,24,2,2,4,2,2,2,4,4,4,4,4,4,4,16,16,4,4,8,8,8,8,16,16,6,4,4,16,16,24,
24,24,3,6,1,1,1,2,2,4,4,4,8,4,4,1,1,2,2,4,4,4,4,4,4,4,4,2,2,2,2,2,6,4,2,2,8,8,
4,4,4,4,4,8,8,1,4,4,12,2,2,2,4,4,2,2,6,4,4,4,4,4,4,4,4,4,4,4,4,8,4,8,8,8,8,4,
8,2,2,1,1,1,1,2,2,2,2,4,4,2,2,1,4,4,2,2,4,4,2,4,4,1,2,2,1,1,1],[1,7,10,38,8,7,
5,19,52,44,4,4,8,2,2,4,6,6,12,32,40,40,12,16,16,32,28,20,16,16,16,1,1,3,8,6,
10,6,10,16,8,8,8,24,40,24,4,4,4,4,8,8,8,8,16,11,13,24,2,2,8,2,16,16,16,4,20,
24,12,12,8,40,32,32,32,2,2,8,8,8,8,16,32,10,6,6,32,30,8,8,8,8,32,32,8,1,2,1,5,
12,12,2,2,4,8,8,3,1,4,4,3,8,4,4,8,16,16,2,1,4,4,8,4,8,2,2,2,4,8,4,4,4,4,8,16,
14,12,8,4,4,8,8,8,4,4,4,4,8,8,4,6,4,4,4,2,6,4,4,6,6,12,32,32,6,2,2,8,8,4,4,4,
32,32,2,10,16,8,16,16,24,24,1,3,8,2,1,1,4,4,8,8,4,1,1,2,6,4,4,4,4,4,8,2,2,6,2,
4,4,2,8,8,4,4,4,4,8,8,2,4,1,4,4,12,2,2,4,2,4,2,2,6,4,8,4,8,4,8,4,4,8,4,8,8,4,
8,8,4,8,2,2,1,1,1,1,2,2,2,4,4,2,2,2,1,4,4,2,2,4,4,2,4,4,1,2,2,1,1,1],[1,7,18,
30,8,7,9,15,36,60,4,4,8,2,2,28,6,6,36,16,24,24,12,16,16,32,12,4,24,24,32,1,8,
8,7,9,4,6,6,6,6,24,8,8,24,24,24,4,4,4,4,8,8,8,8,16,15,9,24,2,2,8,2,16,16,16,
12,12,8,36,12,16,16,8,8,8,8,16,16,8,8,8,16,18,6,12,12,12,48,2,2,2,6,8,8,8,8,8,
8,32,16,16,16,16,8,1,1,3,1,3,12,12,2,2,4,8,8,3,1,4,1,3,3,2,4,4,2,8,16,16,3,4,
4,12,4,8,2,4,4,4,4,6,6,12,4,4,4,4,8,8,8,8,8,2,2,4,4,8,4,4,4,4,4,4,4,4,8,8,8,
18,12,4,4,4,4,16,16,8,8,8,8,6,2,4,4,2,2,4,6,6,18,12,12,4,4,4,4,16,16,2,4,4,16,
16,24,24,3,3,2,2,4,1,1,3,1,4,4,8,4,4,1,1,2,2,4,2,2,2,2,2,2,4,4,4,4,4,6,4,4,1,
1,8,8,2,2,4,4,4,8,8,4,4,1,4,4,12,2,2,2,4,2,2,4,6,4,4,4,4,4,4,4,4,4,4,4,8,8,8,
8,8,4,4,4,8,1,1,2,2,1,1,1,1,2,4,4,2,2,2,2,1,4,4,2,2,4,4,2,4,4,1,2,2,1,1,1],[1,
3,14,30,16,1,5,9,12,32,8,8,8,8,2,4,18,12,20,16,48,24,16,32,16,48,16,12,12,32,
24,16,1,9,16,8,6,8,24,1,5,4,12,6,6,8,12,24,12,12,8,4,8,4,8,8,8,16,16,5,4,4,2,
8,4,4,2,4,16,24,16,4,4,8,4,12,8,12,8,16,8,32,8,16,4,4,16,16,8,8,4,8,8,6,4,4,
12,16,24,4,12,4,6,4,4,6,10,6,10,16,16,32,4,8,8,8,40,8,1,3,3,6,12,1,1,6,2,4,4,
8,8,1,1,4,2,1,1,4,5,3,4,8,12,12,2,3,1,10,8,6,8,4,2,2,2,2,2,2,2,4,2,4,2,2,4,2,
4,4,6,8,6,4,2,4,4,4,4,2,4,4,2,6,2,2,6,8,4,6,2,2,2,2,4,8,4,8,2,4,2,4,2,4,8,2,2,
4,8,8,2,2,6,6,16,16,4,4,12,4,4,4,8,16,8,16,2,2,4,2,2,4,2,4,4,6,8,2,8,8,2,12,
12,4,4,8,8,4,24,24,1,3,1,4,1,1,4,2,4,4,8,2,1,3,1,2,2,1,1,2,2,2,2,2,4,2,2,2,2,
2,2,4,2,2,2,2,2,2,1,1,1,2,2,4,4,1,2,2,2,4,6,4,6,2,2,4,4,4,4,2,4,2,2,3,4,12,2,
2,2,2,2,2,2,2,2,6,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,4,4,4,4,4,4,8,4,4,4,4,
2,2,8,1,1,2,1,1,1,1,1,1,2,2,2,2,2,2,2,1,2,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,
1,1,1,1,1,1,1],[1,3,22,22,16,1,9,5,12,32,8,8,8,8,2,28,18,12,12,48,24,16,16,32,
48,16,12,12,24,16,16,16,1,8,9,16,6,8,24,7,3,12,6,6,8,12,24,12,12,4,8,4,8,8,16,
8,8,16,5,4,4,2,8,4,4,2,4,24,16,16,4,4,12,8,12,8,12,8,16,8,32,4,16,16,4,8,16,8,
4,8,8,10,4,8,12,8,24,12,4,4,6,4,4,10,6,10,6,16,32,16,4,8,8,8,40,8,1,3,3,6,12,
1,1,6,4,2,4,8,8,1,1,4,2,1,1,3,5,4,8,4,12,12,2,1,3,10,8,6,8,4,2,2,2,2,2,2,4,2,
2,4,2,2,2,4,4,2,8,6,4,6,4,4,4,4,4,2,4,4,2,2,2,2,4,8,6,6,4,2,2,2,2,8,4,8,4,2,4,
2,4,6,2,4,8,2,8,8,6,6,2,2,4,4,4,4,4,12,16,16,16,8,16,8,2,2,4,2,6,4,2,6,4,2,8,
8,8,2,4,4,12,12,8,8,4,24,24,1,1,1,4,3,1,2,4,4,4,8,2,1,1,3,2,2,1,1,2,2,2,2,4,2,
2,2,2,2,2,2,2,4,2,2,2,2,2,1,1,1,2,2,4,4,1,2,2,2,4,4,6,6,2,2,4,4,4,4,2,4,2,2,3,
4,12,2,2,2,2,2,2,2,2,2,6,2,4,4,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,4,4,4,4,4,4,8,
4,4,4,4,2,2,8,1,1,2,1,1,1,1,1,1,2,2,2,2,2,2,2,1,2,1,1,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,1,1,1,1,1,1,1,1],[1,7,10,22,8,7,5,11,36,44,4,4,8,2,2,4,6,6,12,24,24,12,
16,16,32,20,4,16,32,1,1,3,6,6,6,6,8,8,8,24,24,24,4,4,4,4,8,8,8,8,16,11,9,24,2,
2,8,2,16,16,16,4,4,8,4,4,8,8,8,16,2,2,8,16,16,2,2,2,26,16,16,16,16,1,1,3,12,
12,2,2,4,8,8,3,1,4,4,1,4,4,1,4,4,4,4,4,4,8,12,12,4,4,8,8,8,8,8,8,2,2,4,4,2,2,
4,2,2,2,4,4,4,16,16,2,4,4,16,16,8,8,8,1,1,1,1,4,4,8,4,4,1,1,6,2,2,2,4,4,4,1,4,
4,4,4,4,8,4,4,8,4,4,8,1,1,1,1,2,2,2,2,1,2,2,2,1,1,1,1],[1,7,18,46,8,7,9,23,84,
92,4,4,8,14,14,4,42,42,12,168,168,12,16,16,32,4,4,8,24,16,1,2,42,48,56,84,112,
168,1,3,42,42,42,42,8,56,56,168,168,168,4,4,4,4,8,8,8,8,16,23,21,56,2,2,8,2,
16,16,16,4,4,8,4,4,8,8,8,8,16,16,8,8,8,8,16,16,8,8,8,16,2,2,12,4,8,16,2,2,2,2,
4,4,4,4,16,16,16,16,16,14,14,42,42,168,168,1,7,21,84,84,2,2,4,8,8,7,1,4,1,4,2,
2,4,4,8,8,1,4,4,4,4,6,2,4,4,4,4,4,4,4,2,2,4,4,4,4,4,4,16,16,4,4,4,4,16,16,4,4,
4,4,8,8,8,8,8,8,16,16,16,16,2,2,4,4,2,2,4,2,2,2,4,4,4,4,4,16,16,4,4,16,16,2,4,
4,16,16,8,8,8,2,2,2,2,4,4,8,8,16,4,1,1,1,1,4,4,4,8,4,4,7,1,14,42,4,4,4,4,2,2,
2,2,4,4,2,2,2,2,4,4,4,4,4,4,2,4,2,2,4,4,2,4,4,4,4,8,4,1,2,4,4,4,4,4,4,4,4,4,8,
1,2,2,2,2,4,4,4,4,2,1,1,2,1,2,1,2,2,2,2,4,4,4,4,1,1,1,2,2,1],[1,7,18,30,24,7,
9,15,36,60,36,36,72,6,6,12,18,18,36,24,24,8,24,36,72,72,144,12,28,16,1,3,9,18,
6,18,6,24,8,8,24,24,24,36,36,36,36,72,72,72,72,144,15,9,24,18,18,72,6,24,24,
24,48,72,72,144,72,72,72,12,12,24,12,12,24,24,24,48,6,6,8,16,14,6,6,16,6,48,
16,3,3,3,12,12,4,12,24,36,36,72,72,18,18,36,72,72,3,9,2,18,72,72,3,4,3,12,12,
4,12,4,4,6,16,16,6,12,4,10,12,6,6,6,12,12,6,6,12,6,6,6,12,12,12,48,48,6,12,12,
48,48,8,8,8,3,3,3,3,12,12,24,12,12,1,9,12,36,6,2,6,6,12,2,6,6,6,6,12,6,2,8,12,
2,6,12,3,4,4,4,4,4,4,4,4,4,8,1,6,6,6,6,2,1,1,2,3,3,2,2,2,4,4,4,4,1,1,1,2,2,
1],[1,7,10,22,8,7,5,11,36,44,4,4,8,2,2,4,6,6,12,24,24,12,16,16,32,4,20,16,32,
32,1,1,3,6,6,6,6,8,8,8,24,24,24,4,4,4,4,8,8,8,8,16,11,9,24,2,2,8,2,16,16,16,4,
4,8,4,4,8,8,8,16,2,2,16,8,16,16,32,10,2,2,16,2,8,8,8,8,16,32,16,16,1,1,3,12,
12,2,2,4,8,8,3,1,4,1,4,4,4,4,8,4,16,16,1,4,4,8,4,4,8,4,4,8,8,16,16,4,4,4,8,4,
4,4,4,4,8,8,16,16,4,4,2,2,4,4,2,2,4,2,2,2,4,4,4,16,16,2,4,4,16,16,1,1,1,1,4,4,
8,4,4,1,1,4,2,8,2,2,8,8,4,4,4,8,8,8,2,1,4,4,4,4,4,4,4,4,4,8,2,2,1,1,1,2,1,2,2,
2,1,2,1,1,1,1],[1,7,10,38,8,7,5,19,52,44,4,4,8,2,2,4,6,6,28,48,24,24,12,16,16,
32,12,4,16,16,16,1,16,1,7,12,6,6,6,6,16,8,8,8,24,24,24,4,4,4,4,8,8,8,8,16,11,
13,24,2,2,8,2,16,16,16,4,20,8,20,28,32,16,16,32,8,8,8,16,6,10,20,8,8,8,16,32,
2,2,2,6,8,8,8,8,32,16,16,8,16,2,1,2,1,3,12,12,2,2,4,8,8,3,1,4,1,2,4,4,4,8,4,
16,16,2,1,4,4,8,4,4,2,8,4,4,4,4,4,4,8,8,8,4,4,8,4,8,8,4,4,4,4,8,8,4,10,16,8,8,
16,16,16,16,4,2,2,4,4,2,2,4,6,6,2,12,16,12,8,4,4,16,16,2,4,4,16,16,8,16,8,16,
8,8,8,2,4,4,4,1,1,2,1,1,4,4,8,4,4,1,1,4,4,4,4,4,8,8,4,4,2,2,8,8,4,4,4,4,8,8,4,
1,4,4,8,4,2,4,4,4,4,2,4,4,4,4,4,8,8,4,8,8,8,4,4,8,8,2,2,1,1,2,2,2,2,1,2,2,2,2,
8,2,2,8,8,8,1,1,1,4,1],[1,7,18,30,8,7,9,15,36,60,4,4,8,2,2,28,6,6,36,16,24,24,
12,16,16,32,12,4,8,8,32,1,8,8,7,9,4,6,6,6,6,24,8,8,24,24,24,4,4,4,4,8,8,8,8,
16,15,9,24,2,2,8,2,16,16,16,12,12,8,36,12,16,16,8,8,8,8,16,16,8,8,8,16,18,6,
12,4,4,16,32,16,2,2,2,6,8,8,16,8,16,1,1,3,1,3,12,12,2,2,4,8,8,3,1,4,1,3,3,2,2,
3,4,4,4,8,4,2,4,4,4,4,2,2,8,8,4,4,4,4,4,2,2,16,16,4,4,4,4,18,12,4,4,4,4,16,16,
8,8,8,8,6,2,4,4,2,2,4,6,6,18,12,12,4,4,4,4,16,16,2,4,4,16,16,24,24,8,8,8,3,3,
2,2,4,1,1,3,1,4,4,8,4,4,1,1,2,2,4,2,2,2,2,2,2,4,4,4,4,4,2,4,1,1,2,2,8,4,1,4,
12,2,2,2,4,2,2,4,6,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,8,1,1,2,2,1,1,1,1,
2,2,2,1,2,2,2,2,4,4,2,4,4,4,4,4,4,1,1,1,2,2,1],[1,15,10,30,8,35,5,15,60,60,4,
4,8,2,2,4,6,6,12,16,24,24,12,16,16,32,20,12,32,15,1,3,4,6,6,6,6,8,8,8,8,24,24,
24,4,4,4,4,8,8,8,8,16,15,15,40,2,2,8,2,16,16,16,20,60,8,12,12,24,16,16,16,32,
6,6,12,6,2,2,8,30,16,16,16,32,8,16,1,1,1,1,3,12,12,2,2,4,8,8,5,1,4,5,1,2,3,3,
4,4,8,8,2,4,8,4,6,6,8,8,8,8,4,8,8,8,6,2,4,8,30,30,2,4,4,2,2,4,8,8,6,6,6,12,12,
12,4,4,16,16,6,4,8,8,32,32,24,24,8,8,8,5,1,1,2,3,3,1,4,4,8,4,8,1,1,2,6,2,2,2,
2,4,2,2,4,8,4,3,2,2,4,4,4,1,4,1,4,12,2,2,2,4,2,2,4,6,4,4,4,4,4,8,8,4,4,8,4,4,
8,4,4,4,4,8,1,1,2,2,1,1,1,1,2,2,2,1,2,2,2,2,4,4,2,4,4,4,4,4,4,1,1,1,2,2,1],[1,
7,10,38,24,7,5,19,52,44,12,12,24,2,2,4,6,6,12,32,40,40,36,16,16,32,32,12,28,8,
8,1,1,3,8,6,10,6,10,16,8,8,8,24,40,24,4,4,4,4,8,8,8,8,16,11,13,24,6,6,24,8,8,
6,8,16,16,16,4,20,40,12,12,8,8,8,8,16,16,16,16,24,24,40,32,32,32,2,2,8,4,4,16,
8,8,14,10,10,32,6,24,32,8,8,16,1,2,1,5,12,12,2,2,4,8,8,3,2,3,4,5,8,6,2,1,2,2,
4,4,4,8,2,2,2,2,2,4,4,4,2,4,8,2,2,4,4,2,4,4,4,4,4,4,4,4,4,12,8,4,6,4,4,4,2,6,
10,12,12,24,6,6,12,32,32,6,2,2,8,8,4,4,4,4,4,4,4,16,16,4,4,8,8,8,8,32,32,6,10,
16,8,16,16,24,24,24,24,24,8,8,8,16,16,16,16,3,6,3,8,2,1,1,2,2,4,4,4,8,8,4,1,1,
2,6,4,2,2,4,4,4,4,4,4,4,4,4,4,4,4,8,2,2,2,2,2,2,2,2,4,2,4,2,4,1,4,12,4,12,2,2,
2,2,2,4,4,4,2,4,2,2,2,2,6,6,4,4,4,4,4,8,4,4,4,4,4,4,8,4,4,4,8,4,4,4,4,4,4,4,4,
4,8,8,8,8,8,8,8,8,8,16,2,2,2,2,1,1,1,1,2,2,2,2,1,2,2,2,2,2,2,4,4,4,4,2,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,15,18,54,8,35,9,27,108,108,4,
4,8,2,2,28,6,6,84,112,24,24,12,16,16,32,36,12,8,8,16,15,8,56,7,21,28,6,6,6,6,
56,56,8,8,24,24,24,4,4,4,4,8,8,8,8,16,27,27,72,2,2,8,2,16,16,16,36,108,8,84,
84,16,16,32,8,8,8,8,16,16,16,16,32,24,16,16,16,32,42,42,84,4,4,8,16,16,6,2,2,
8,54,8,8,16,32,56,1,1,7,7,7,1,3,12,12,2,2,4,8,8,9,1,4,9,1,2,7,21,28,2,2,4,21,
21,4,4,4,4,8,14,42,14,4,4,8,4,8,4,4,4,4,4,2,2,4,4,4,6,6,4,4,8,4,4,8,4,8,8,2,2,
4,4,4,4,4,8,8,6,2,4,42,42,84,4,4,4,4,8,8,16,16,16,16,8,8,8,8,16,16,54,54,2,4,
4,2,2,4,8,8,42,42,42,84,84,84,4,4,8,4,4,16,16,6,4,8,8,32,32,56,168,168,168,7,
21,28,2,2,4,4,4,9,1,1,2,21,21,1,4,4,8,4,8,1,1,2,6,2,2,2,2,4,2,2,4,4,4,2,2,2,4,
2,2,2,2,4,4,4,4,8,4,4,8,2,4,8,4,4,4,3,2,2,2,2,4,1,1,2,2,2,4,4,4,1,1,28,84,84,
84,2,2,2,2,2,4,2,2,4,4,4,2,2,2,2,4,4,4,4,42,42,42,84,56,4,8,8,4,4,8,4,4,8,4,4,
4,4,8,4,4,8,4,4,8,4,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,2,1,1,2,2,2,7,7,
21,1,1,1,1,1,2,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,28,2,2,2,2,2,2,4,4,4,8,4,4,4,8,4,4,4,4,4,1,2,2,2,2,1,1,1,1,1,1,2,2,2,2,
4,4,1],[1,3,18,26,8,1,7,7,20,24,4,4,2,4,28,8,10,12,40,48,4,16,16,12,16,8,16,
32,8,4,8,4,12,16,20,7,3,2,6,4,4,8,4,8,16,20,20,4,4,8,3,2,4,2,8,4,4,12,4,4,16,
8,8,16,4,8,8,4,8,32,4,4,8,16,8,6,8,8,4,16,16,8,8,6,4,2,8,4,4,4,8,8,8,16,8,24,
4,8,8,1,1,2,1,8,12,1,1,4,2,2,1,2,2,1,2,2,2,2,4,2,2,2,2,4,4,2,1,2,3,1,4,4,2,2,
4,2,2,2,4,2,4,2,2,2,2,2,2,4,6,4,8,8,8,4,4,4,1,3,4,4,4,4,2,2,4,8,8,2,6,2,8,4,2,
8,8,8,8,8,8,8,8,1,2,2,4,4,6,2,4,2,2,4,2,8,4,8,8,8,4,4,4,4,4,1,2,2,2,2,1,2,1,2,
2,2,2,1,1,4,3,1,2,4,2,2,2,2,2,1,1,2,2,2,2,2,4,1,2,2,1,2,2,2,4,2,2,2,2,1,2,2,2,
2,2,2,2,4,4,3,1,2,6,1,2,2,2,2,2,2,2,4,4,2,2,2,2,2,4,4,2,2,2,2,2,4,2,4,4,4,2,2,
2,2,2,2,4,4,1,1,2,2,1,2,1,1,2,1,2,1,2,2,1,2,1,1,2,1,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,1,1,1,1,1,1,1,1],[1,3,10,34,8,1,3,11,20,24,4,4,2,4,4,8,10,20,16,40,48,4,
16,16,12,16,16,24,16,4,8,4,8,12,16,20,1,5,4,2,6,4,4,8,4,8,16,20,20,4,4,8,3,2,
4,2,8,4,4,8,4,4,4,8,16,16,8,8,4,4,8,32,8,4,4,16,8,8,2,12,12,8,8,16,8,8,6,4,2,
8,4,4,4,8,24,8,8,24,4,8,8,1,1,2,1,8,12,1,1,4,2,2,1,2,2,1,6,2,2,2,2,2,2,2,4,4,
2,1,2,1,3,4,2,4,2,4,2,2,4,2,4,2,2,2,2,2,8,4,2,4,6,2,8,8,4,4,4,4,3,1,4,4,4,2,4,
2,8,8,2,2,4,4,2,2,8,8,8,8,8,8,8,8,8,1,2,4,2,4,2,4,4,2,2,4,2,2,8,4,8,8,8,4,4,4,
4,4,1,2,2,2,2,1,2,1,2,2,2,2,1,3,1,4,1,4,2,2,2,2,2,2,1,1,2,2,2,2,2,4,2,1,2,1,2,
2,2,4,2,2,2,2,1,2,2,2,2,2,2,4,4,2,1,3,2,6,1,2,2,2,2,2,2,2,4,2,4,2,2,2,4,2,4,2,
2,2,2,2,4,2,4,4,2,2,4,2,2,2,2,4,4,1,1,2,2,1,2,1,1,2,1,2,1,2,2,1,2,1,1,2,1,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,7,6,26,16,7,3,13,28,20,12,12,24,
16,16,16,4,12,24,12,12,24,20,32,8,8,16,1,4,4,4,8,16,5,7,8,6,6,24,4,12,4,4,8,
12,12,24,12,12,12,4,20,24,8,8,16,20,12,12,56,4,4,12,4,4,16,8,8,16,2,2,32,18,8,
8,8,24,4,8,8,1,2,1,3,1,3,12,12,2,1,8,3,2,2,2,4,6,4,2,1,1,2,2,4,5,10,8,2,2,4,6,
4,4,8,8,8,8,7,10,6,4,6,6,12,5,4,4,2,6,4,4,8,8,4,4,4,8,8,16,16,4,5,6,14,8,8,8,
8,4,4,4,4,4,1,2,1,2,4,2,1,2,2,4,4,4,1,2,5,1,1,6,2,1,3,1,2,2,2,4,4,4,2,3,2,2,2,
6,2,2,1,2,4,4,2,6,1,3,8,2,1,2,2,4,6,6,2,4,8,2,2,4,4,4,4,4,4,4,2,2,2,4,2,4,4,1,
2,1,2,1,2,1,1,2,1,2,1,2,2,1,2,1,2,1,1,2,2,2,2,2,2,2,2,4,2,2,2,2,2,1,1,1,1,1,1,
1,1],[1,15,6,18,16,35,3,9,36,36,12,12,24,4,12,24,12,12,24,12,24,8,8,16,16,15,
9,9,24,6,6,24,4,12,4,4,8,12,12,24,12,12,12,12,36,24,48,12,12,12,24,4,4,8,16,
16,8,8,12,6,6,24,18,8,8,8,24,12,8,1,3,3,1,3,12,12,3,3,6,2,2,4,4,6,4,3,3,2,2,4,
3,6,12,2,2,4,4,4,4,8,8,8,8,3,6,6,4,12,6,12,9,4,18,18,6,12,12,12,3,6,6,24,24,
12,12,4,4,4,3,3,6,1,3,4,6,3,3,3,6,6,1,3,2,2,2,4,4,3,3,6,2,2,6,2,3,6,6,6,9,3,3,
2,2,12,6,6,6,6,6,4,4,4,4,4,2,2,2,6,4,4,1,3,2,3,1,3,1,2,1,2,2,3,1,3,3,2,6,2,2,
2,6,2,2,2,2,1,1,1,1,1,1,1,1],[1,15,6,18,32,35,3,9,36,36,20,20,40,4,12,48,12,
12,24,32,12,48,16,15,9,9,24,10,10,40,8,8,8,8,12,4,4,8,12,12,24,12,12,12,12,36,
40,24,96,12,12,12,24,16,16,16,16,24,10,10,40,18,24,8,8,8,24,12,8,8,1,3,2,5,1,
3,12,12,3,5,10,6,6,4,2,3,3,3,6,20,3,6,6,4,8,24,10,20,9,4,8,18,18,6,10,20,20,
24,24,3,6,6,24,24,8,8,8,8,8,24,8,12,12,24,24,4,4,4,8,8,8,8,3,5,6,6,4,1,3,8,10,
3,3,3,6,6,4,8,4,1,3,5,3,6,2,4,4,12,2,6,3,10,10,6,9,3,6,3,2,2,20,6,6,6,6,6,12,
2,4,2,4,2,6,4,4,4,4,4,4,8,1,3,2,1,3,5,3,1,2,4,2,2,2,2,4,3,1,3,3,2,2,2,6,2,2,2,
6,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,7,6,26,32,7,3,13,28,20,20,20,40,16,
16,16,4,12,48,12,12,24,32,20,24,16,16,1,4,4,4,8,16,5,7,8,10,10,40,8,8,8,8,12,
4,4,8,12,12,24,12,12,12,4,20,40,8,8,32,24,32,20,12,12,56,16,16,16,16,4,4,12,8,
16,12,6,6,16,18,24,8,8,8,24,4,8,8,8,1,2,1,2,5,1,3,12,12,2,3,4,6,3,2,4,6,4,2,2,
1,1,8,5,10,8,4,4,6,4,8,8,7,10,6,4,8,2,2,12,5,4,8,4,2,6,10,12,12,24,8,8,4,4,4,
8,8,8,16,16,8,5,6,14,8,8,8,8,8,8,8,24,8,8,8,4,4,24,24,4,4,4,8,8,8,8,3,6,2,1,2,
4,2,4,1,2,2,4,4,4,4,4,1,2,5,1,1,6,2,4,8,4,1,3,1,2,2,4,3,2,2,4,4,12,2,6,2,1,4,
2,4,4,4,2,6,1,3,8,6,2,1,2,2,4,6,6,2,8,4,8,2,2,4,4,4,8,2,4,2,4,2,4,2,4,4,4,4,4,
4,8,1,2,1,2,1,1,2,1,2,2,1,2,1,2,4,2,2,2,2,4,1,2,1,2,1,1,2,2,2,2,2,2,2,2,2,2,4,
2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,3,10,50,8,1,3,19,36,24,4,4,2,4,4,8,
10,20,48,56,64,4,16,16,4,16,16,8,32,4,8,4,8,12,16,20,1,5,12,2,10,4,8,16,8,4,8,
16,36,20,4,4,8,3,6,4,2,8,4,4,8,4,4,4,8,16,16,8,8,4,4,8,32,16,16,8,64,4,4,24,
32,24,8,2,4,4,8,16,16,8,8,6,8,6,24,4,4,8,8,8,16,8,8,8,4,8,8,1,1,2,1,8,12,1,2,
3,4,2,2,3,6,2,1,2,2,2,2,4,2,2,2,4,2,1,2,1,3,4,2,4,8,2,2,4,2,2,4,2,2,2,8,4,2,4,
6,2,8,8,8,4,3,1,4,4,4,4,2,4,2,8,2,4,4,2,2,8,16,8,8,16,8,16,8,8,8,8,8,8,1,2,8,
6,12,24,24,2,4,4,2,2,4,2,2,8,6,12,8,8,8,24,24,4,4,4,4,4,8,8,8,8,1,2,2,2,2,4,3,
6,2,1,2,2,2,2,1,3,1,4,1,4,4,2,4,4,8,2,2,4,2,2,2,1,1,2,2,2,4,1,2,2,1,2,2,2,4,
12,2,2,2,2,1,2,2,4,2,2,4,2,4,4,2,1,3,2,6,1,6,2,2,2,2,2,2,2,4,2,4,8,2,2,2,4,2,
2,2,2,2,2,2,4,2,2,8,4,4,2,2,2,2,4,4,4,4,4,4,8,1,1,2,2,1,1,2,1,2,2,1,2,1,2,2,4,
2,2,2,4,1,2,1,1,2,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,
2,1],[1,3,18,42,8,1,7,15,36,24,4,4,2,4,28,8,10,12,32,56,64,4,16,16,4,16,8,32,
16,8,4,8,4,12,16,20,7,3,8,2,10,4,8,16,8,4,8,16,36,20,4,4,8,3,6,4,2,8,4,4,12,4,
4,16,8,8,16,4,8,8,4,8,16,16,64,32,4,4,24,24,32,8,6,16,4,8,16,8,8,6,8,6,24,4,4,
8,24,8,8,8,8,4,8,8,1,1,2,1,8,12,1,2,3,4,2,2,3,6,2,1,6,2,2,2,2,2,2,4,2,1,2,3,1,
4,12,2,2,2,2,4,6,2,2,2,2,2,4,6,4,16,8,8,8,1,3,4,4,4,2,2,12,6,2,16,4,2,8,8,8,
16,8,16,8,8,8,8,8,8,1,2,6,8,12,24,24,6,2,4,2,2,4,2,8,6,12,8,8,8,24,24,4,4,4,4,
4,8,8,8,8,1,2,2,2,2,4,3,6,2,1,2,2,2,2,1,1,8,3,1,2,4,4,4,8,6,2,2,2,2,1,1,2,2,2,
4,3,2,1,2,2,2,4,12,2,2,2,2,1,2,6,2,6,2,2,4,4,3,1,2,6,1,6,2,2,2,2,2,2,2,4,12,2,
2,2,2,2,4,2,2,2,2,2,2,2,2,12,4,4,2,2,2,2,4,4,4,4,4,4,8,1,1,2,2,1,1,2,3,2,3,1,
2,4,2,2,2,2,4,1,2,1,1,2,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,
2,2,2,2,1],[1,15,10,30,8,35,5,15,60,60,4,4,8,2,2,4,6,6,12,16,24,24,12,20,12,
16,16,32,15,1,3,4,6,6,6,6,8,8,8,8,24,24,24,15,15,40,2,2,8,2,20,60,8,12,12,4,4,
4,4,8,8,8,8,16,4,4,4,4,8,8,8,8,16,24,6,6,12,8,8,16,32,32,8,8,6,2,2,8,30,4,4,4,
4,8,8,16,16,8,8,8,1,1,1,1,3,12,12,5,1,5,1,2,2,2,2,2,4,4,8,8,3,3,2,2,8,8,2,2,2,
2,2,4,2,2,4,4,4,4,4,4,6,6,4,4,8,8,8,6,6,2,2,4,4,2,2,2,2,2,2,4,8,8,2,2,2,2,4,4,
8,8,2,2,2,2,4,4,6,2,4,2,2,2,2,4,4,8,8,8,8,30,30,2,4,4,6,6,6,12,12,12,2,2,2,2,
2,2,4,8,8,6,8,8,8,8,24,24,2,2,5,1,3,3,2,1,2,6,1,1,2,2,2,2,2,2,2,2,1,1,1,1,2,2,
2,2,4,2,3,2,4,4,2,4,1,1,2,4,4,2,4,2,2,1,2,4,12,2,2,2,2,2,2,2,2,2,1,1,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,4,2,2,2,2,2,2,2,2,4,2,2,2,2,4,4,8,4,4,4,2,2,2,
2,8,8,4,2,2,2,2,4,4,6,6,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,1,1,1,1,1,1,4,1,
2,2,2,2,2,2,2,2,2,3,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1],[1,7,18,30,8,7,9,15,20,44,4,4,8,2,2,28,6,6,36,16,8,8,12,16,16,32,28,20,8,
8,32,1,8,8,7,9,4,6,2,6,2,24,8,4,4,4,4,8,8,8,8,16,11,5,8,2,2,8,2,16,16,16,16,
24,8,40,16,16,16,8,8,8,8,16,16,8,8,16,16,16,22,10,20,4,4,16,16,10,6,6,16,22,8,
8,32,48,8,16,1,1,3,1,1,2,2,4,8,8,1,1,4,2,3,4,3,3,2,2,8,2,5,8,8,4,12,2,2,2,2,4,
4,6,12,12,4,4,2,2,4,8,4,6,4,4,4,4,4,8,12,2,2,8,4,4,4,4,8,8,8,8,4,6,8,4,18,12,
4,4,4,4,8,8,8,8,2,8,2,2,2,4,8,6,18,12,12,4,4,8,8,2,2,8,4,8,8,24,32,8,8,8,3,3,
2,2,1,3,2,2,1,1,1,1,3,2,2,1,4,2,2,2,2,2,2,4,4,1,2,2,2,2,1,4,2,2,6,1,1,4,2,2,4,
4,1,2,6,2,4,12,2,6,4,4,2,2,2,3,2,6,2,3,2,2,4,2,2,4,2,2,6,2,2,2,4,4,4,4,2,6,6,
8,6,6,2,2,4,8,2,2,4,2,2,8,4,4,2,2,8,8,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,4,
1,1,2,2,1,2,2,2,2,2,2,2,2,2,2,3,1,2,2,2,4,2,2,2,2,2,2,2,4,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1],[1,7,10,38,8,7,5,19,36,28,4,4,8,2,2,4,6,6,28,48,8,8,12,16,16,32,
28,20,16,16,16,1,16,1,7,12,6,2,6,2,16,8,8,4,4,4,4,8,8,8,8,16,7,9,8,2,2,8,2,16,
16,16,8,32,8,24,32,16,16,8,8,16,8,8,16,8,8,16,16,16,10,14,28,8,8,8,16,10,6,6,
16,22,16,16,16,48,8,16,2,1,2,1,1,2,2,4,8,8,1,1,4,2,3,4,2,4,4,4,4,4,3,8,8,4,12,
2,2,2,2,4,4,6,12,12,4,4,4,4,4,4,4,6,4,4,4,4,4,8,12,4,4,4,4,4,4,4,8,8,8,8,4,6,
8,4,4,10,16,4,4,4,4,8,8,8,8,6,4,2,2,2,4,8,6,2,12,16,12,4,4,8,8,2,2,8,4,8,8,8,
16,16,24,8,8,2,4,2,2,1,2,1,2,2,1,1,1,1,3,2,2,1,4,2,2,2,2,2,2,4,4,1,2,2,2,2,1,
4,2,2,6,2,2,2,2,2,4,4,1,2,6,2,4,8,4,2,6,4,4,2,2,2,3,2,6,2,3,2,2,4,2,2,4,2,2,2,
4,2,2,2,4,4,4,4,2,6,6,4,4,6,6,6,6,4,2,2,4,6,6,4,4,2,2,8,8,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,2,3,3,1,1,2,2,1,2,2,2,2,2,2,2,2,2,2,1,3,2,2,2,4,2,2,2,2,2,2,2,4,1,
2,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,7,10,38,8,7,5,19,52,44,4,4,8,2,2,4,6,6,28,48,
24,24,12,28,20,16,16,16,1,16,1,7,12,6,6,6,6,16,8,8,8,24,24,24,11,13,24,2,2,8,
2,4,20,8,20,28,4,4,4,4,8,8,8,8,16,4,4,4,4,8,8,8,8,16,8,16,8,8,16,6,10,20,8,8,
8,16,32,8,8,10,2,2,16,30,4,4,4,4,8,8,16,16,8,8,8,2,1,2,1,3,12,12,3,1,4,1,4,2,
4,2,2,2,2,4,8,8,2,1,2,2,8,4,4,2,2,2,2,2,4,2,2,4,4,8,4,4,6,6,4,4,4,4,8,12,12,2,
2,4,4,2,2,2,2,2,2,4,8,8,4,8,8,2,2,2,2,4,2,2,2,2,4,4,4,4,4,10,16,2,2,2,2,4,4,8,
8,8,8,4,2,2,4,4,8,8,6,6,2,12,16,12,2,2,2,2,2,2,4,8,8,2,4,4,4,8,16,8,8,8,8,8,
16,2,4,2,2,1,2,2,1,2,1,2,2,1,1,2,2,2,2,2,2,2,2,2,1,1,1,1,2,2,2,2,4,4,6,2,2,2,
4,2,2,4,1,1,4,4,2,2,2,2,2,4,8,4,2,2,2,2,2,2,2,2,2,1,1,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,4,2,2,4,2,2,2,2,2,2,2,2,4,4,2,2,2,2,4,4,4,4,4,6,6,2,2,4,2,6,6,2,4,
4,4,6,6,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,1,3,1,3,1,1,2,2,2,2,2,2,2,2,2,
1,3,2,2,2,2,2,2,2,2,2,2,2,2,2,4,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,15,36,32,8,
35,54,54,96,48,24,15,9,108,27,16,2,40,8,24,24,1,27,27,16,12,72,6,24,9,8,2,2,6,
6,8,6,6,1,1],[1,9,42,8,32,27,3,3,2,18,36,18,36,48,96,24,9,9,6,18,18,36,36,9,
18,16,8,8,2,12,12,8,24,24,1,9,18,9,18,16,12,12,24,24,12,6,24,9,8,1,1,2,6,6,8,
3,3,6,1,1],[1,3,48,20,20,1,4,12,36,36,18,36,72,72,12,12,3,9,12,18,18,36,36,9,
18,16,4,1,16,5,4,12,4,4,12,12,12,12,1,9,18,9,18,16,12,18,6,24,12,12,3,3,12,12,
9,4,4,1,1,1,1,3,3,3,3,4,4,3,3,3,3,1,1],[1,15,12,32,8,35,18,18,16,24,48,15,3,
36,9,16,2,40,8,1,9,9,16,12,6,12,3,8,2,2,1,3,1,1],[1,21,6,8,32,9,3,21,2,18,18,
16,24,48,3,9,6,18,18,9,16,8,8,2,12,12,8,1,9,9,16,12,6,12,3,8,1,1,2,1,3,1,1],[
1,21,6,8,32,9,21,3,2,18,18,16,24,48,3,9,6,18,18,9,16,8,8,2,12,12,8,1,9,9,16,
12,6,12,3,8,1,1,2,1,3,1,1],[1,15,6,18,32,8,35,3,9,36,36,12,4,12,24,24,15,9,9,
24,12,36,18,16,2,40,8,12,12,12,12,1,3,3,18,18,16,1,3,6,6,4,12,3,8,2,2,3,3,3,3,
4,4,1,3,1,1],[1,15,20,35,30,30,40,16,15,5,60,15,20,20,16,1,15,10,15,10,16,5,5,
5,5,1,1,1],[1,1,21,21,28,21,7,7,21,21,21,21,28,28,28,8,7,7,21,21,21,21,21,7,7,
28,8,21,8,7,7,7,7,7,7,8,7,7,1,1],[1,1,42,28,21,7,28,21,42,56,28,8,7,7,42,42,
21,7,7,28,8,21,8,7,7,14,7,7,8,7,7,1,1],[1,1,42,28,7,21,21,28,42,56,28,8,7,7,
42,42,21,7,7,28,8,21,8,7,7,14,7,7,8,7,7,1,1],[1,15,28,35,84,8,15,7,28,8,1,8,
21,8,7,1,1,1,1],[1,1,14,28,7,28,28,56,8,8,7,7,28,8,1,8,7,14,8,7,1,1,1,1],[1,1,
28,21,28,8,7,7,21,28,8,21,8,7,7,8,7,7,1],[1,45,20,20,15,15,45,36,60,60,45,10,
36,15,15,10,15,15,10,6,6,1],[1,45,20,20,15,15,45,36,60,60,45,10,36,15,15,10,
15,15,10,6,6,1],[1,45,11,20,5,45,45,6,50,60,45,45,10,6,5,5,5,5,45,15,6,10,20,
18,15,15,15,15,6,5,10,1,6,5,3,1,1],[1,3,42,18,24,64,1,21,9,36,36,36,72,6,6,84,
18,18,36,8,24,36,72,72,144,12,72,64,24,21,9,18,18,24,36,36,36,36,72,72,72,72,
144,9,18,18,72,6,24,24,24,48,72,72,144,72,72,72,12,36,144,72,72,18,36,72,16,
128,96,96,3,3,3,4,12,24,36,36,72,72,18,18,36,72,72,9,2,18,72,72,3,18,18,36,18,
36,72,72,18,36,72,72,18,36,16,96,3,18,9,12,36,6,18,24,72,18,36,9,18,36,16,48,
12,8,1,9,12,9,12,16,12,3,1,1],[1,3,18,42,24,64,1,9,21,36,36,36,72,6,6,12,18,
18,60,48,8,24,36,72,72,144,12,24,48,64,24,3,15,12,18,18,24,36,36,36,36,72,72,
72,72,144,9,18,18,72,6,24,24,24,48,72,72,144,72,72,72,12,24,12,48,96,24,24,48,
48,6,12,12,24,24,48,16,128,96,96,3,3,3,4,12,24,36,36,72,72,18,18,36,72,72,9,2,
18,72,72,3,6,12,6,12,12,24,6,12,12,24,24,24,48,48,6,12,12,24,24,24,48,48,6,12,
12,24,16,32,64,3,6,12,9,12,36,6,6,12,24,24,48,6,12,12,24,3,6,6,12,12,24,16,48,
12,8,1,3,6,12,3,6,12,16,4,8,3,1,1],[1,3,18,18,48,64,1,9,9,36,48,48,72,6,6,12,
18,18,36,8,24,48,72,72,144,48,12,12,12,48,64,3,9,18,18,24,36,36,36,36,72,72,
72,72,144,9,24,18,72,12,12,6,12,24,24,24,48,72,72,144,72,72,72,12,12,12,12,12,
24,24,24,12,48,48,48,48,6,6,12,12,6,12,24,24,24,16,128,96,96,3,3,4,12,24,36,
36,72,72,18,18,36,72,72,3,9,2,18,72,72,3,3,3,12,6,6,6,6,6,6,12,12,12,12,24,24,
24,24,12,24,12,24,6,6,12,6,6,6,6,12,12,12,12,24,24,24,24,24,12,24,16,16,16,64,
3,3,3,12,9,12,36,6,6,6,6,6,12,12,12,12,24,24,12,24,12,3,3,3,6,6,12,12,6,12,16,
48,12,8,1,3,6,6,6,3,6,6,6,8,8,4,8,3,1,1],[1,7,18,30,24,64,7,9,15,36,60,36,36,
72,6,6,12,18,18,36,24,24,8,24,36,72,72,144,12,12,64,1,3,9,18,6,18,6,24,8,8,24,
24,24,36,36,36,36,72,72,72,72,144,15,9,24,18,18,72,6,24,24,24,48,72,72,144,72,
72,72,12,12,24,12,12,24,24,24,48,6,6,6,6,6,6,48,16,128,96,96,3,3,3,12,12,4,12,
24,36,36,72,72,18,18,36,72,72,3,9,2,18,72,72,3,3,12,12,12,6,6,12,6,12,6,6,6,
12,12,6,6,12,6,6,6,12,12,12,48,48,6,12,12,48,48,16,32,32,3,3,3,3,12,12,24,12,
12,1,9,12,36,6,2,6,6,12,2,6,6,6,6,12,6,12,6,12,3,16,48,12,8,1,6,6,6,6,3,3,4,8,
8,1,1,1],[1,3,22,30,24,64,1,9,9,12,48,36,36,72,12,6,12,30,24,36,48,24,8,24,36,
72,72,144,12,12,64,1,9,16,6,8,24,3,9,24,18,6,24,12,24,12,12,36,36,36,36,72,72,
72,72,144,9,4,18,18,72,6,24,24,24,48,72,72,144,72,72,72,12,12,12,12,24,24,12,
12,12,12,24,24,6,6,24,6,6,6,6,24,16,128,96,96,3,3,6,12,3,3,6,4,12,24,36,36,72,
72,18,18,36,72,72,9,2,18,72,72,3,3,6,12,12,6,6,6,6,6,12,12,6,6,6,6,24,24,6,6,
6,6,12,12,12,12,12,12,24,24,24,24,6,6,6,6,24,24,16,16,16,32,3,3,3,3,6,6,12,12,
24,6,6,9,12,36,1,6,2,2,6,6,6,6,6,6,12,12,6,6,12,12,3,16,48,12,8,1,6,6,6,6,3,3,
4,8,8,1,1,1],[1,3,30,54,24,16,1,9,9,36,72,36,36,72,24,6,12,54,36,36,144,72,8,
24,36,72,72,144,36,36,16,48,48,3,27,48,18,24,72,3,9,36,18,18,24,36,72,36,36,
36,36,36,36,72,72,72,72,144,9,12,18,18,72,6,24,24,24,48,72,72,144,72,72,72,36,
36,36,36,72,72,36,36,36,36,72,72,18,18,72,18,18,18,18,72,8,12,16,48,48,9,9,18,
36,3,3,18,4,12,24,36,36,72,72,18,18,36,72,72,9,2,18,72,72,9,9,18,36,36,18,18,
18,18,18,36,36,18,18,18,18,72,72,18,18,18,18,36,36,36,36,36,36,72,72,72,72,18,
18,18,18,72,72,12,12,24,12,24,24,16,9,9,9,9,18,18,36,36,72,18,18,9,12,36,3,6,
6,6,18,18,18,18,18,18,36,36,18,18,36,36,9,1,8,12,12,12,24,24,1,18,18,18,18,9,
9,1,3,3,12,3,1,3,3,1],[1,7,26,54,24,16,7,13,27,84,108,12,12,24,14,14,12,42,42,
36,168,168,36,48,48,96,12,12,24,24,16,16,32,16,32,1,2,42,48,56,84,112,168,3,9,
42,42,42,42,24,56,56,168,168,168,12,12,12,12,24,24,24,24,48,27,21,56,6,6,24,6,
48,48,48,12,12,24,12,12,24,24,24,24,48,48,24,24,24,24,48,48,24,24,24,48,6,6,
12,12,48,6,6,6,6,12,12,12,12,48,48,4,8,8,16,16,32,32,16,14,14,42,42,168,168,3,
7,21,84,84,6,6,12,24,24,7,3,12,3,6,6,12,24,24,3,12,12,12,12,6,6,12,12,12,12,
12,6,6,12,12,12,12,12,12,12,12,12,48,48,12,12,12,12,24,24,24,24,24,24,48,48,
48,48,6,6,12,12,6,6,12,6,6,6,12,12,12,12,12,48,48,12,12,48,48,6,12,12,48,48,4,
4,8,8,8,8,8,4,8,8,8,8,8,16,16,6,6,6,6,12,12,24,24,48,12,3,3,3,3,12,12,12,24,
12,12,7,3,14,42,12,12,12,12,6,6,6,6,12,12,6,6,6,6,12,12,12,12,12,12,6,12,12,
12,6,12,12,12,12,12,3,6,1,4,8,8,4,8,8,8,8,8,8,8,8,4,1,6,6,6,6,12,12,12,12,3,6,
3,6,1,1,2,1,2,4,8,3,1,1,1,2,2,1],[1,15,6,18,16,64,35,3,9,36,36,12,12,24,4,12,
24,12,12,24,12,24,64,15,9,9,24,6,6,24,4,12,4,4,8,12,12,24,12,12,12,12,36,24,
48,12,12,12,24,12,6,6,24,18,24,12,80,16,48,1,3,3,1,3,12,12,3,3,6,6,3,3,3,6,12,
3,6,6,12,6,12,9,18,18,6,12,12,12,3,6,6,24,24,12,12,16,16,32,16,3,3,6,1,3,4,6,
3,3,3,6,6,1,3,3,3,6,2,6,3,6,6,6,9,3,3,12,6,6,6,6,6,6,4,4,12,1,3,3,3,3,3,3,6,6,
4,4,4,8,1,1,1],[1,15,36,64,35,4,12,54,24,54,24,64,15,9,6,12,18,108,24,24,27,
18,12,12,6,12,80,16,48,1,1,3,3,27,9,6,12,27,18,12,18,6,12,12,48,16,16,3,9,6,3,
9,3,9,3,6,6,6,4,4,12,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,15,18,54,16,35,9,27,108,
108,2,2,12,6,6,36,48,24,24,36,12,12,24,16,48,48,15,3,9,12,6,6,6,6,24,24,8,8,
24,24,24,27,27,72,36,108,36,36,12,12,12,12,24,24,24,24,48,18,18,36,6,6,12,24,
24,54,24,4,8,8,16,48,48,1,3,3,1,3,12,12,9,9,9,9,6,6,6,3,3,6,6,6,6,6,6,6,6,6,
12,12,6,6,6,6,12,12,24,24,24,24,54,54,18,18,18,36,36,36,72,72,4,12,8,8,16,12,
8,8,16,6,6,9,9,9,1,2,6,3,3,3,3,6,6,6,6,12,3,3,3,6,6,12,36,18,6,6,6,6,6,6,1,4,
12,12,8,8,1,3,3,3,3,3,3,6,6,6,6,1,1,2,1,4,2,3,1,1,1,2,2,1],[1,1,32,18,36,16,7,
18,24,24,12,21,30,18,9,6,36,2,6,18,6,78,84,48,48,12,24,16,16,32,16,32,3,8,9,
12,7,9,2,12,6,18,24,12,42,6,12,9,6,12,12,12,2,6,6,6,6,24,36,6,36,12,48,12,12,
72,36,48,12,12,12,24,24,24,24,18,12,36,24,6,18,36,12,12,12,12,24,8,12,16,16,
32,32,16,1,3,1,6,3,6,9,6,3,6,9,9,6,9,6,6,6,6,12,12,6,9,3,6,6,12,6,18,12,18,24,
6,6,6,36,36,36,12,12,18,18,12,36,36,12,12,12,12,12,12,72,72,4,12,8,8,16,4,8,8,
8,16,9,9,6,9,6,1,6,6,12,3,2,3,3,3,6,6,6,3,6,3,3,6,12,36,18,6,6,6,6,6,6,1,4,4,
4,8,8,8,8,3,1,3,3,3,3,3,6,6,6,6,1,1,2,1,4,2,3,1,1,1,2,2,1],[1,7,14,66,16,7,7,
33,108,84,14,14,42,42,48,168,168,12,24,48,32,16,32,1,2,42,48,56,84,112,168,12,
42,42,42,42,24,56,56,168,168,168,21,27,56,24,12,12,48,48,96,48,24,24,12,24,48,
12,24,6,4,8,8,16,16,16,14,14,42,42,168,168,3,7,21,84,84,7,6,3,12,12,12,48,48,
12,12,24,24,24,24,6,6,24,24,48,48,6,24,24,6,12,12,12,12,8,16,4,8,8,8,8,8,16,
16,12,6,3,7,14,42,6,6,24,24,48,12,12,24,12,6,6,24,12,12,3,1,4,8,8,4,8,4,8,1,3,
12,6,3,12,6,2,1,2,4,8,3,1,1,1,1],[1,3,18,18,48,16,1,9,9,36,48,48,72,6,6,12,18,
18,36,8,24,48,72,72,144,48,12,12,12,48,32,48,3,9,18,18,24,36,36,36,36,72,72,
72,72,144,9,24,18,72,12,12,6,12,24,24,24,48,72,72,144,72,72,72,12,12,12,12,12,
24,24,24,12,48,48,48,48,6,6,12,12,6,12,24,24,24,8,12,16,16,16,3,3,4,12,24,36,
36,72,72,18,18,36,72,72,3,9,2,18,72,72,3,3,3,12,6,6,6,6,6,6,12,12,12,12,24,24,
24,24,12,24,12,24,6,6,12,6,6,6,6,12,12,12,12,24,24,24,24,24,12,24,8,16,12,24,
24,16,3,3,3,12,9,12,36,6,6,6,6,6,12,12,12,12,24,24,12,24,12,3,3,3,6,6,12,12,6,
12,1,8,12,4,8,4,8,1,3,6,6,6,3,6,6,6,2,3,4,8,3,1,1,1,1],[1,3,18,18,48,16,1,9,9,
36,48,48,72,6,6,12,18,18,36,8,24,48,72,72,144,48,12,12,12,48,32,48,3,9,18,18,
24,36,36,36,36,72,72,72,72,144,9,24,18,72,12,12,6,12,24,24,24,48,72,72,144,72,
72,72,12,12,12,12,12,24,24,24,12,48,48,48,48,6,6,12,12,6,12,24,24,24,4,4,12,
16,16,16,3,3,4,12,24,36,36,72,72,18,18,36,72,72,3,9,2,18,72,72,3,3,3,12,6,6,6,
6,6,6,12,12,12,12,24,24,24,24,12,24,12,24,6,6,12,6,6,6,6,12,12,12,12,24,24,24,
24,24,12,24,8,8,8,12,12,24,12,16,3,3,3,12,9,12,36,6,6,6,6,6,12,12,12,12,24,24,
12,24,12,3,3,3,6,6,12,12,6,12,1,4,4,12,4,4,4,4,4,4,1,3,6,6,6,3,6,6,6,2,3,4,4,
4,3,1,1,1,1],[1,1,14,36,16,7,18,12,28,8,36,36,18,36,24,32,16,32,8,24,7,9,2,12,
24,72,24,6,36,18,12,9,6,2,12,24,12,8,4,16,16,16,1,3,6,3,9,18,18,12,9,9,6,18,
12,9,6,6,6,12,12,8,8,8,4,8,8,8,16,9,9,6,1,9,18,3,3,3,6,6,6,4,4,8,4,8,3,1,3,3,
3,3,3,1,4,3,1,1,1,1],[1,15,36,16,35,12,36,54,8,54,24,32,48,15,9,2,36,6,108,24,
24,27,6,12,36,2,12,4,8,16,16,16,1,3,9,9,27,27,6,12,27,6,12,6,6,12,12,8,8,8,12,
8,8,16,9,9,6,1,27,3,3,3,6,6,6,4,4,8,4,8,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,15,6,
18,24,16,35,3,9,36,36,12,12,24,2,2,6,6,24,24,36,12,36,12,12,24,32,48,15,6,6,6,
6,8,8,24,24,24,9,9,24,6,6,24,6,12,36,24,12,12,12,12,24,24,72,6,6,12,24,24,18,
6,6,24,18,4,8,8,16,16,16,1,1,3,12,12,3,3,3,3,6,6,6,12,3,3,6,6,6,6,6,6,6,6,6,
24,24,18,6,12,18,18,6,12,12,6,6,6,6,24,24,18,8,8,8,12,8,8,16,3,3,6,1,2,6,6,6,
6,6,6,6,3,3,3,6,12,3,6,6,12,6,6,12,1,4,8,4,4,8,1,3,3,3,3,3,3,2,1,2,4,3,1,1,1,
1],[1,1,20,30,12,16,7,12,6,12,12,12,3,30,6,15,6,36,24,2,6,6,6,30,36,12,24,36,
24,32,16,32,8,6,6,12,7,3,6,2,12,6,6,12,12,18,6,12,3,6,2,6,6,6,6,24,12,6,12,12,
36,12,24,12,24,12,12,60,24,12,6,12,12,6,6,12,6,12,12,12,12,12,12,8,12,16,16,
16,1,3,1,6,3,6,3,6,6,3,3,3,6,3,6,6,6,6,6,12,6,6,12,12,12,6,6,6,3,9,6,6,12,6,
12,12,6,12,6,6,12,6,18,12,12,12,12,6,6,6,12,8,16,4,8,8,8,16,3,3,6,1,2,6,6,6,6,
6,6,6,3,3,6,3,3,6,6,6,6,6,6,6,6,12,1,4,4,8,4,8,1,3,3,3,3,3,3,2,1,2,4,3,1,1,1,
1],[1,15,6,18,24,16,35,3,9,36,36,12,12,24,4,12,16,36,12,36,12,12,24,32,48,15,
1,3,4,8,8,9,9,24,6,6,24,6,12,36,24,12,12,24,24,48,72,6,6,12,6,6,12,24,24,18,6,
6,24,18,8,4,4,4,16,16,16,1,1,1,3,3,3,3,6,3,3,6,6,2,6,6,12,12,3,3,6,6,6,6,6,12,
6,6,12,18,6,12,18,18,6,12,12,6,6,6,12,12,12,6,6,12,18,24,24,8,8,8,12,4,4,8,8,
8,16,3,3,3,3,3,3,6,6,6,6,6,3,3,3,4,12,3,3,6,6,6,6,6,6,12,6,6,12,6,6,6,6,6,6,4,
4,4,4,4,4,4,4,4,8,1,3,3,3,3,3,3,6,6,6,6,1,4,4,4,3,1,1,1,1],[1,7,14,42,16,7,7,
21,36,36,28,36,16,24,24,24,24,24,24,32,16,32,1,8,8,7,9,4,6,6,24,24,9,9,8,12,
36,36,12,48,48,24,24,24,18,6,12,12,12,12,6,6,12,24,24,24,8,4,4,4,16,16,16,1,1,
3,3,1,3,3,3,6,6,3,6,2,12,12,6,6,6,6,6,3,12,12,12,6,6,6,12,12,6,3,18,12,12,12,
6,6,6,6,12,6,6,18,12,12,6,12,24,24,8,8,8,4,4,4,8,8,8,8,16,3,3,3,3,3,3,6,6,6,6,
6,3,3,3,4,12,6,6,3,6,3,6,6,6,6,12,12,6,6,6,6,6,6,6,4,4,4,4,4,4,4,4,4,8,1,3,3,
3,3,3,3,6,6,6,6,1,4,4,4,3,1,1,1,1],[1,3,14,30,16,1,7,15,24,12,28,12,32,24,24,
4,12,24,48,32,8,7,3,8,6,6,16,8,24,3,6,4,12,48,24,24,24,6,12,6,6,6,24,24,8,8,4,
16,16,16,1,1,2,3,3,6,1,6,2,12,6,12,6,12,6,12,6,6,12,24,24,6,6,12,24,24,4,8,8,
16,8,8,16,1,3,6,6,6,3,4,12,6,6,6,12,12,4,8,4,4,8,1,3,3,4,4,1,4,1,1,1,1,1],[1,
15,2,6,24,16,35,1,3,12,12,12,12,24,36,32,4,36,48,32,15,3,3,8,6,6,24,8,8,6,8,4,
12,24,24,72,18,6,6,24,6,24,8,4,8,16,16,16,1,1,2,3,1,3,6,6,2,12,18,6,12,6,6,6,
6,12,12,24,18,24,24,24,12,8,8,8,8,8,16,1,3,6,6,6,3,4,12,6,6,6,12,12,4,4,8,4,8,
1,3,3,4,4,1,4,1,1,1,1,1],[1,7,6,42,24,16,7,3,21,60,36,12,12,24,2,2,6,6,48,24,
24,36,28,12,12,12,24,32,32,16,1,12,6,6,6,6,24,8,8,24,24,24,9,15,24,6,6,24,6,
24,24,12,12,12,12,12,12,24,24,24,24,48,24,48,12,6,6,12,24,24,6,6,6,30,4,8,8,
16,16,16,3,1,3,12,12,3,3,4,3,3,6,6,12,3,3,6,6,6,12,12,6,6,6,6,12,12,12,12,12,
12,24,24,6,6,12,12,6,12,12,6,6,6,6,24,24,6,12,8,16,8,8,8,4,8,8,16,6,3,3,6,1,6,
6,6,6,6,6,6,6,12,6,3,3,6,6,6,6,12,12,6,6,1,4,8,8,4,4,3,3,1,3,3,3,3,2,2,1,4,3,
1,1,1,1],[1,1,12,30,36,16,3,12,6,24,24,12,3,6,6,15,6,36,24,2,6,18,6,30,36,48,
4,36,24,24,32,32,16,6,6,12,1,3,6,2,12,6,6,12,12,18,6,12,9,6,12,12,12,2,6,6,6,
6,24,12,6,12,24,12,36,36,24,12,12,12,36,24,24,24,24,24,6,6,12,12,12,6,12,6,12,
12,12,12,12,8,12,16,16,16,3,1,6,3,6,3,6,3,6,1,3,3,6,3,6,6,6,6,6,6,6,6,12,12,6,
6,6,6,3,9,6,6,12,6,6,12,6,6,12,6,18,12,12,6,6,6,6,12,6,12,12,12,12,12,12,12,
12,8,16,8,16,4,8,8,16,3,6,3,6,1,6,6,6,12,6,6,6,6,6,3,6,3,3,3,6,6,6,6,6,12,6,6,
1,4,4,8,8,4,3,3,1,3,3,3,3,2,2,1,4,3,1,1,1,1],[1,15,14,42,16,35,7,21,84,84,14,
14,42,42,168,168,28,48,32,15,2,42,48,56,84,112,168,42,42,42,42,56,56,168,168,
168,21,21,56,28,84,42,4,8,8,16,16,16,1,14,14,42,42,168,168,7,21,84,84,7,7,42,
42,42,42,12,8,8,8,8,8,16,16,7,7,14,42,14,42,21,1,4,4,8,8,4,1,7,7,1,2,2,4,1,1,
1,1,1],[1,3,26,18,24,16,1,13,9,36,36,36,72,6,6,36,18,18,36,8,24,36,72,72,144,
4,24,48,32,8,9,9,18,18,24,36,36,36,36,72,72,72,72,144,9,18,18,72,6,24,24,24,
48,72,72,144,72,72,72,4,12,48,24,24,6,12,24,8,12,16,16,16,1,3,3,4,12,24,36,36,
72,72,18,18,36,72,72,9,2,18,72,72,1,6,6,12,6,12,24,24,6,12,24,24,6,12,12,24,8,
24,16,1,6,9,12,36,6,6,8,24,6,12,3,6,12,1,8,12,4,4,1,3,4,3,4,3,2,4,1,1,1,1,1],[
1,3,18,66,16,1,3,15,60,48,6,12,4,24,30,12,32,120,144,12,12,12,48,16,48,48,12,
24,12,36,48,60,1,3,8,6,18,12,12,16,8,12,24,48,60,60,3,6,12,12,12,12,12,24,48,
48,24,96,24,24,24,6,6,24,48,24,6,6,6,24,8,8,4,16,48,48,3,6,3,24,36,1,2,3,12,6,
3,6,6,12,2,6,6,6,6,24,24,3,3,6,12,12,6,6,6,6,24,24,24,48,24,48,6,6,12,24,24,6,
12,24,24,4,8,4,8,16,8,4,8,8,16,16,8,6,12,3,6,3,3,3,3,3,6,6,12,12,24,6,12,3,6,
4,12,6,6,6,12,12,4,8,4,8,4,8,16,8,8,16,8,3,6,1,3,6,6,6,6,6,1,4,8,3,1,1,1,1],[
1,7,26,30,24,16,7,13,15,12,60,12,12,24,6,6,28,18,18,36,16,36,48,48,96,24,12,
24,24,16,16,32,16,32,1,8,8,7,9,4,18,18,24,12,12,12,12,24,24,24,24,48,15,3,8,6,
6,24,6,48,48,48,24,24,36,12,48,48,24,24,24,24,24,12,12,24,18,6,12,12,12,6,12,
24,24,24,8,4,4,4,16,16,32,32,16,1,1,3,3,6,6,12,24,24,1,3,12,3,3,6,6,3,6,2,6,6,
9,12,12,6,12,6,6,12,12,3,6,18,12,12,12,24,24,24,24,12,6,6,18,12,12,12,12,6,6,
6,24,24,24,24,4,4,4,4,4,4,8,8,8,4,4,4,8,8,8,16,8,3,3,6,6,3,6,3,3,3,6,6,3,6,6,
6,12,12,3,6,3,6,3,3,6,6,4,12,6,6,6,6,6,6,6,4,4,4,4,8,8,4,4,4,4,8,8,8,8,4,8,3,
3,3,1,3,3,3,6,6,6,6,1,4,4,4,3,1,1,1,1],[1,15,18,54,16,35,9,27,108,108,6,6,4,
18,18,12,16,72,72,36,12,12,24,16,48,48,15,1,3,4,18,18,18,18,8,8,24,24,72,72,
72,27,27,72,36,108,12,12,12,12,12,12,24,24,24,24,48,6,6,12,6,6,12,24,24,54,8,
4,4,4,16,48,48,1,1,1,3,9,36,36,9,9,3,3,6,6,2,3,3,6,6,6,18,18,6,6,6,6,12,12,6,
6,6,6,12,12,24,24,24,24,54,54,6,6,6,12,12,12,24,24,4,12,4,4,4,4,8,8,12,4,4,8,
8,16,8,6,6,9,3,3,3,6,18,3,3,3,3,6,6,6,6,12,9,3,3,6,6,4,12,6,6,6,6,6,6,6,4,4,4,
12,12,4,4,4,4,8,8,8,8,8,3,3,3,1,3,3,3,6,6,6,6,1,4,4,4,3,1,1,1,1],[1,1,32,18,
36,16,7,18,36,36,36,13,34,18,9,18,12,6,18,18,18,90,108,16,48,12,24,16,16,32,
16,32,1,8,3,4,7,9,6,4,18,18,36,36,54,18,36,9,18,4,4,4,6,18,18,18,18,72,36,18,
12,12,24,12,12,72,36,48,12,12,12,24,24,24,24,18,12,12,12,6,6,36,12,12,12,12,8,
4,4,4,16,16,32,32,16,1,1,3,18,9,18,9,18,1,18,3,9,6,3,6,2,6,6,12,12,6,9,3,6,18,
12,18,18,12,6,12,6,6,6,12,36,36,12,12,6,18,12,12,12,12,12,12,12,12,12,24,24,4,
4,4,4,4,4,4,4,8,4,4,4,4,4,4,8,4,4,4,16,8,9,3,6,3,6,3,6,6,12,3,6,3,3,3,6,6,18,
3,6,3,9,6,4,12,6,6,6,6,6,6,6,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,8,4,4,8,3,3,3,1,
3,3,3,6,6,6,6,1,4,4,4,3,1,1,1,1],[1,1,20,30,36,16,1,6,18,24,24,60,7,6,6,12,15,
30,16,12,6,18,18,66,42,108,16,12,24,24,24,16,16,32,16,32,1,3,4,8,3,4,3,6,6,4,
12,12,18,6,24,18,36,30,60,3,6,18,4,4,4,6,6,6,24,30,30,48,12,24,18,12,24,12,12,
12,24,48,12,12,24,12,24,24,12,24,24,24,24,6,12,12,12,6,12,6,12,12,24,12,12,12,
8,4,4,4,16,16,32,32,16,1,1,3,6,3,6,18,12,3,6,6,12,1,12,6,3,3,6,6,3,6,2,6,6,12,
12,3,9,6,6,12,6,6,12,12,6,12,12,6,12,6,12,12,12,6,6,12,12,24,24,6,6,12,12,12,
12,12,12,12,12,12,12,24,24,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,8,4,4,4,16,8,3,3,6,6,
3,6,3,6,6,12,3,6,3,3,3,6,6,6,12,3,6,3,3,6,6,4,12,6,6,6,6,6,6,6,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,8,4,8,4,8,3,3,3,1,3,3,3,6,6,6,6,1,4,4,4,3,1,1,1,1],[1,7,14,18,
48,16,7,7,9,12,36,36,36,72,12,36,72,36,36,72,32,12,24,48,16,16,32,16,32,1,9,3,
8,18,18,72,8,8,12,8,36,12,12,24,36,36,72,36,36,36,12,12,24,24,48,12,12,24,48,
48,48,48,12,6,6,6,24,24,24,24,24,8,4,8,16,16,32,32,16,1,2,9,3,9,36,36,3,6,6,
12,2,3,6,12,24,6,12,9,12,24,6,6,6,12,12,24,12,6,6,24,24,24,24,24,24,24,24,24,
24,24,4,4,8,8,8,8,8,4,8,8,8,8,16,8,3,6,6,12,3,3,6,3,3,3,6,12,24,12,3,6,6,12,4,
12,6,6,12,6,12,4,8,4,8,8,8,8,8,8,8,4,8,8,3,6,1,3,6,6,6,6,6,1,4,8,3,1,1,1,1],[
1,15,14,42,16,35,7,21,84,84,28,84,112,28,48,32,15,8,56,7,21,28,56,56,21,21,56,
28,84,84,84,42,42,84,42,56,4,4,4,16,16,16,1,1,7,7,7,7,7,7,21,28,21,21,14,42,
14,42,42,84,42,42,42,42,42,84,84,84,56,168,168,168,12,4,4,8,8,8,8,8,8,16,7,21,
28,7,21,21,28,84,84,84,42,42,42,84,56,4,4,4,4,4,4,4,4,4,8,8,8,7,7,21,28,1,4,4,
4,8,1,1,1,1,1],[1,7,6,42,24,16,7,3,21,36,12,12,12,24,4,12,16,24,24,36,28,12,
12,12,24,32,32,16,1,1,3,4,6,6,24,3,9,6,6,24,6,6,42,18,18,24,24,48,24,24,48,24,
24,72,12,12,24,6,6,12,6,18,20,4,4,4,16,16,16,3,3,1,1,3,4,3,3,3,9,3,6,6,6,6,6,
6,3,3,6,6,3,6,6,12,6,6,6,6,12,3,6,3,3,6,6,6,12,9,3,3,3,3,6,6,6,6,6,12,12,12,6,
6,18,8,24,24,24,8,8,8,8,8,8,4,4,4,8,16,3,3,3,3,3,6,3,3,3,6,3,6,6,6,1,3,3,3,3,
3,3,6,6,6,3,3,3,6,6,6,6,6,12,6,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,8,3,
3,3,3,3,3,3,3,1,3,3,3,3,3,3,1,4,4,4,3,1,1,1,1],[1,7,18,30,16,7,9,15,36,60,2,2,
12,6,6,36,24,24,28,24,12,12,24,16,16,16,1,3,9,6,6,6,6,24,8,8,24,24,24,15,9,24,
12,12,12,12,12,12,12,12,24,24,6,6,6,6,12,24,24,12,24,30,48,4,8,8,16,16,16,3,1,
3,12,12,3,4,6,3,6,6,12,12,12,3,3,6,6,6,12,12,24,24,12,6,6,6,6,6,6,6,6,6,6,24,
24,6,6,6,6,12,4,4,8,8,4,8,8,16,6,3,1,3,3,3,3,6,6,6,6,3,3,12,6,3,6,12,12,6,6,1,
4,8,4,8,4,3,1,3,3,3,3,3,1,1,1,4,3,1,1,1,1],[1,1,24,18,12,16,3,18,12,12,12,21,
6,18,9,6,36,2,6,6,6,30,36,4,12,36,24,24,16,16,16,3,9,12,1,9,2,12,6,6,12,12,18,
6,12,3,6,2,6,6,6,6,24,12,6,12,12,24,12,12,12,24,12,12,12,6,6,12,12,12,6,12,6,
6,12,36,12,12,12,12,24,8,12,16,16,16,3,1,6,3,6,3,6,6,3,1,3,3,6,6,3,6,6,6,6,6,
6,6,6,6,6,6,6,12,12,12,6,6,6,9,3,6,6,12,6,12,6,12,6,12,6,6,6,12,12,12,6,12,4,
12,8,4,8,8,16,3,6,1,3,3,3,3,6,6,3,3,6,3,6,3,3,6,6,6,6,6,6,6,6,6,1,4,8,4,8,4,3,
1,3,3,3,3,3,1,1,1,4,3,1,1,1,1],[1,7,24,36,16,7,12,24,12,36,54,8,16,30,24,32,
32,16,1,6,9,2,36,24,24,6,36,12,48,24,24,15,24,12,6,12,2,12,4,8,16,16,16,3,1,6,
3,6,12,6,6,3,12,9,6,12,6,6,9,3,12,6,12,6,6,12,12,8,8,8,8,4,8,8,16,3,6,6,3,1,6,
3,6,3,6,6,6,3,3,6,6,6,4,4,8,4,8,3,3,1,3,3,3,3,1,4,3,1,1,1,1],[1,1,6,36,24,16,
3,18,12,12,12,4,8,36,36,12,4,6,12,24,24,32,32,16,24,1,9,2,12,6,24,24,24,24,24,
24,12,6,12,24,6,12,6,12,24,3,6,2,12,8,4,16,16,16,3,1,6,3,6,6,6,6,6,12,3,3,6,6,
6,6,6,12,3,3,6,6,6,6,6,6,6,12,12,8,8,8,8,4,8,8,16,3,6,6,3,1,6,3,6,3,6,6,6,3,3,
6,6,6,4,4,8,4,8,3,3,1,3,3,3,3,1,4,3,1,1,1,1],[1,7,2,30,24,16,7,1,15,36,12,12,
12,24,36,32,12,36,32,16,32,1,3,9,8,6,6,24,8,8,6,8,24,48,24,24,36,12,12,24,18,
6,6,24,6,24,12,8,24,4,8,16,16,16,1,2,3,3,6,6,2,3,3,3,6,6,6,6,6,6,6,6,12,12,12,
24,6,9,6,6,24,12,12,24,24,12,12,12,24,24,24,24,8,4,8,8,8,8,8,16,3,6,6,6,3,3,4,
12,3,3,3,6,3,6,6,6,6,6,12,12,12,12,12,12,24,4,8,4,4,8,8,8,1,3,3,6,6,6,6,6,6,1,
4,8,3,1,1,1,1],[1,3,6,30,24,16,1,3,15,24,12,12,12,4,12,32,24,24,12,24,12,12,
32,48,1,3,8,6,6,16,8,24,3,6,6,12,24,24,24,24,12,12,24,24,24,6,6,6,12,6,24,24,
8,12,24,8,4,16,16,16,1,2,3,3,6,6,3,2,3,3,6,6,6,6,6,6,3,6,6,6,12,24,24,6,6,6,6,
6,12,24,24,12,12,12,12,12,24,24,24,24,8,4,8,8,16,8,16,3,6,6,6,3,3,4,12,3,3,3,
3,6,6,6,6,6,6,12,12,12,12,12,12,24,4,8,4,4,8,8,8,1,3,3,6,6,6,6,6,6,1,4,8,3,1,
1,1,1],[1,7,18,30,16,7,9,15,12,36,6,6,4,18,18,12,16,28,24,12,12,24,16,16,16,1,
1,3,4,18,18,9,3,18,30,18,18,12,12,12,12,24,24,12,12,12,12,24,6,6,12,12,6,6,18,
48,20,4,4,4,16,16,16,3,1,3,1,3,4,3,3,12,12,12,3,9,3,6,6,12,6,12,6,6,6,6,6,3,3,
6,9,6,6,12,6,6,6,6,12,6,3,3,3,6,6,6,12,3,9,3,3,3,6,6,6,6,8,24,24,24,4,4,4,4,4,
4,4,4,4,8,16,3,3,3,3,6,3,1,3,3,3,3,3,3,3,3,6,3,3,3,3,3,6,6,6,6,6,6,6,6,12,6,3,
3,3,3,3,3,3,3,3,3,3,3,6,6,6,4,4,4,4,4,4,4,4,4,8,3,3,3,3,3,3,3,3,1,3,3,3,3,3,3,
1,4,4,4,3,1,1,1,1],[1,1,26,24,24,16,7,6,12,12,12,6,28,24,6,8,36,12,12,48,48,6,
24,12,24,16,16,32,16,32,8,12,12,7,6,3,2,12,12,12,24,6,24,12,12,24,48,24,24,24,
24,24,12,6,12,6,12,12,3,6,24,24,2,12,8,4,16,16,32,32,16,1,3,6,6,6,3,6,6,6,6,
12,3,3,6,6,12,12,24,24,24,24,3,3,6,6,6,12,6,6,12,12,4,4,8,8,8,4,8,8,16,8,6,6,
6,3,3,6,3,1,3,6,6,6,3,3,6,6,6,4,4,4,8,8,8,8,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,
15,12,36,12,16,35,6,18,72,72,18,12,12,24,8,24,18,24,16,48,48,15,18,18,48,3,2,
12,12,12,24,72,6,36,12,12,12,24,24,24,9,36,6,12,24,2,12,4,8,16,48,48,1,6,3,6,
6,3,6,3,6,6,12,9,6,36,36,9,3,6,6,24,24,12,6,6,6,12,12,4,12,8,8,12,8,16,8,6,6,
3,3,6,6,3,1,3,6,6,6,3,6,3,6,6,4,12,12,8,8,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,
18,24,16,3,6,12,6,4,24,6,8,36,12,4,18,12,24,24,16,16,16,12,12,1,6,3,2,12,12,
12,24,24,6,12,6,12,6,12,9,6,12,12,24,2,12,12,8,4,16,16,16,3,1,6,6,3,3,6,6,6,6,
6,6,6,6,6,12,3,3,6,6,6,6,12,3,6,6,6,12,12,4,4,8,8,4,8,8,16,3,6,6,1,6,6,3,6,3,
3,6,3,3,6,6,6,6,4,8,4,4,8,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,7,12,12,12,16,7,6,6,
24,18,12,12,24,8,16,42,24,16,16,16,1,6,3,2,12,12,12,12,12,6,12,24,24,21,12,12,
12,6,12,24,12,2,12,4,8,16,16,16,3,1,6,6,3,3,6,6,18,3,12,12,9,6,6,6,6,6,3,12,6,
6,6,12,12,4,4,8,8,4,8,8,16,3,6,6,1,6,6,3,6,3,3,6,3,6,3,6,6,6,4,8,4,4,8,3,1,3,
3,3,3,3,1,4,3,1,1,1,1],[1,15,36,16,35,4,12,54,24,54,24,32,48,15,9,6,12,18,108,
24,24,27,18,12,12,6,12,4,16,16,16,16,1,1,3,3,27,9,6,12,27,18,12,18,6,12,12,8,
16,12,16,3,9,6,3,9,3,9,3,6,6,6,1,4,4,4,1,3,3,3,3,3,3,2,3,4,3,1,1,1,1],[1,15,
36,16,35,4,12,54,24,54,24,32,48,15,9,6,12,18,108,24,24,27,18,12,12,6,12,20,16,
16,16,1,1,3,3,27,9,6,12,27,18,12,18,6,12,12,24,12,16,3,9,6,3,9,3,9,3,6,6,6,1,
4,4,4,1,3,3,3,3,3,3,2,3,4,3,1,1,1,1],[1,15,36,16,35,4,12,54,24,54,24,32,48,15,
9,6,12,18,108,24,24,27,18,12,12,6,12,4,4,16,16,16,1,1,3,3,27,9,6,12,27,18,12,
18,6,12,12,8,8,12,12,12,16,3,9,6,3,9,3,9,3,6,6,6,4,4,4,4,4,4,4,4,12,1,3,3,3,3,
3,3,4,4,4,3,1,1],[1,1,14,36,16,7,18,4,28,24,36,12,18,36,24,32,16,32,8,8,7,9,6,
4,24,72,24,18,36,18,12,9,18,6,4,8,12,4,4,16,16,16,1,1,2,1,3,6,18,12,9,3,6,18,
12,9,18,18,6,12,12,8,8,4,4,8,8,4,8,16,9,3,6,3,3,6,3,3,9,6,6,6,4,4,4,4,4,4,4,4,
4,8,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,1,2,48,16,1,6,18,4,12,40,12,36,18,12,48,32,
16,32,8,8,3,4,6,3,6,4,24,24,72,18,24,12,6,12,12,3,6,18,6,4,8,12,4,4,16,16,16,
1,1,2,1,3,6,6,12,12,3,3,6,6,6,12,12,3,6,12,6,12,6,6,12,12,8,8,4,4,8,8,4,8,16,
3,3,6,6,3,3,6,3,3,3,6,6,6,6,4,4,4,4,4,4,4,4,4,8,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,
3,12,36,16,1,6,12,24,16,4,12,30,24,12,18,24,24,32,48,4,8,3,6,3,6,12,24,48,18,
12,24,24,24,12,3,6,6,18,12,4,6,8,12,4,4,16,16,16,1,1,2,1,3,6,3,12,3,6,6,6,12,
3,6,12,12,6,6,12,12,6,6,12,12,8,8,4,8,12,8,4,16,3,6,3,6,3,3,6,3,3,6,3,6,6,6,4,
4,4,4,4,4,4,4,8,4,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,3,14,6,16,1,7,3,12,28,12,16,
12,24,48,32,8,7,3,8,3,4,12,6,12,6,6,24,24,8,8,4,16,16,16,1,1,1,6,6,2,2,6,6,6,
3,6,6,3,6,6,4,8,8,8,8,16,1,3,3,6,6,6,6,4,4,4,8,8,1,3,3,4,1,1,1],[1,15,2,6,16,
35,1,3,12,12,4,12,12,24,48,32,15,3,3,8,4,12,6,6,12,24,24,6,8,8,4,16,16,16,1,1,
1,6,6,2,2,6,6,3,3,6,6,6,6,6,12,8,8,8,16,1,3,3,6,6,6,6,4,4,4,8,8,1,3,3,4,1,1,
1],[1,3,12,36,16,1,6,12,24,4,12,30,24,12,18,24,24,32,48,3,6,3,6,12,24,18,12,
12,24,24,24,12,12,3,6,6,18,12,6,12,4,16,16,16,1,3,1,12,6,6,3,12,3,6,6,12,3,6,
12,3,6,6,12,12,6,6,12,12,8,12,16,3,6,1,3,2,3,6,3,6,3,6,3,6,6,6,4,1,4,4,1,3,3,
3,3,3,3,1,2,4,2,3,1,1,1,1],[1,7,14,42,7,7,21,84,84,14,14,42,42,168,168,64,1,2,
42,48,56,84,112,168,42,42,42,42,56,56,168,168,168,21,21,56,14,14,42,42,168,
168,7,21,84,84,7,7,14,42,8,16,48,1,1],[1,15,20,16,35,30,30,16,80,15,5,60,15,
16,20,16,1,15,15,20,16,5,1,1,5,1,1,1],[1,15,26,78,24,35,13,39,156,156,36,36,
72,18,18,12,54,54,36,48,216,216,8,24,36,72,72,144,52,36,24,24,48,15,2,42,48,
56,84,112,168,3,9,12,54,54,54,54,24,24,72,72,216,216,216,36,36,36,36,72,72,72,
72,144,39,39,104,18,18,72,6,24,24,24,48,72,72,144,72,72,72,52,156,72,36,36,24,
24,24,24,48,48,24,24,24,24,48,48,48,48,96,72,72,72,72,144,18,18,36,12,12,24,
48,48,18,18,18,72,78,12,12,12,12,48,144,24,24,1,14,14,42,42,168,168,3,3,9,27,
108,108,4,12,24,36,36,72,72,18,18,36,72,72,13,9,2,18,72,72,13,9,18,6,6,12,24,
24,9,9,36,36,12,12,36,6,6,6,18,36,36,6,6,12,12,12,54,54,12,12,12,12,48,48,18,
36,36,6,6,12,24,24,12,12,12,12,24,24,12,12,12,12,24,24,18,18,36,18,12,12,12,
12,24,24,48,48,48,48,12,12,12,12,24,24,24,24,24,24,48,48,48,48,78,78,18,36,36,
18,18,36,72,72,18,18,18,36,36,36,12,12,12,12,48,48,36,36,144,144,18,18,36,36,
144,144,72,72,72,72,6,6,6,6,12,12,24,24,48,12,12,13,9,9,18,9,9,9,12,36,36,72,
36,36,9,9,12,36,14,42,6,18,54,18,18,18,18,12,12,12,12,36,6,6,4,4,12,12,12,12,
12,12,24,24,6,6,6,6,12,12,24,24,48,6,6,6,6,12,12,12,12,24,12,12,12,12,18,18,
18,18,36,36,6,18,27,18,18,6,6,12,24,36,12,12,6,12,12,12,12,12,12,12,24,24,12,
12,9,18,36,9,6,12,36,12,36,12,36,18,18,18,18,36,18,18,36,18,18,36,18,18,36,36,
36,36,36,36,36,36,36,36,12,12,24,12,12,12,12,12,12,24,24,24,36,36,24,1,1,2,6,
9,9,18,6,18,18,12,12,12,12,6,12,6,6,6,12,12,12,12,18,7,3,12,6,3,3,6,6,18,9,9,
9,9,18,18,6,6,6,6,12,6,6,3,6,6,9,9,6,12,12,12,12,12,12,12,12,6,12,6,18,18,18,
36,18,18,18,18,18,36,6,36,36,36,36,36,36,1,3,3,2,3,6,18,3,3,3,3,6,9,9,3,6,6,6,
6,12,6,6,6,18,1,1,1,3,3,3,3,1],[1,7,34,62,40,7,17,31,84,124,44,44,88,18,18,36,
54,54,60,16,168,168,8,24,60,104,104,208,32,20,20,56,40,16,32,1,2,8,42,48,56,8,
84,112,168,9,15,4,54,42,54,42,40,56,56,168,168,168,44,44,44,44,88,88,88,88,
176,31,21,56,22,22,88,8,8,10,8,24,24,24,48,72,72,144,104,104,104,20,20,40,44,
20,40,40,40,40,80,80,48,80,32,40,56,56,40,80,16,16,80,24,40,40,40,80,32,32,32,
32,22,10,12,20,28,8,80,24,24,10,10,10,10,20,20,20,20,40,24,80,16,24,16,16,16,
80,8,16,16,8,1,1,14,14,42,42,168,168,5,9,21,84,84,4,12,24,36,36,72,72,22,22,
44,88,88,7,2,11,2,26,72,72,5,6,3,3,6,10,10,10,20,4,40,40,5,6,6,20,20,20,20,8,
2,4,4,2,6,6,12,12,12,12,12,12,12,10,14,4,20,6,12,20,8,12,12,20,20,20,20,12,8,
8,8,8,16,16,16,16,6,12,8,16,6,10,10,10,20,4,28,20,20,20,8,12,12,12,12,8,24,8,
24,24,24,16,16,6,12,6,8,16,18,12,20,20,28,20,8,80,80,20,20,20,20,24,24,40,40,
40,40,40,40,40,40,80,80,80,80,16,16,10,6,10,20,20,24,10,10,20,10,10,22,12,20,
20,20,20,20,12,20,8,80,80,20,20,24,24,24,24,80,80,10,20,20,80,80,16,16,16,16,
16,24,16,24,48,48,48,48,24,24,24,3,3,10,10,10,6,10,10,20,20,4,40,40,80,20,5,6,
5,5,5,6,6,20,20,20,40,20,20,8,7,11,12,36,14,42,6,2,6,10,6,4,6,20,20,12,20,20,
12,12,12,12,8,8,8,8,16,16,2,4,4,8,12,12,12,12,12,12,8,24,24,24,8,16,10,10,6,
10,6,10,20,20,10,14,10,10,20,20,4,12,20,8,20,20,20,20,6,6,6,6,12,8,16,8,6,6,
12,6,6,6,6,10,4,4,20,12,8,8,3,5,2,20,20,6,10,4,10,20,20,20,20,12,12,4,12,24,
24,8,20,6,12,4,8,5,10,4,4,8,8,24,24,12,12,12,12,12,12,6,6,12,12,6,6,12,12,6,6,
12,12,12,12,12,12,12,12,6,6,12,12,12,12,12,6,6,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,4,4,4,8,4,4,
8,4,8,8,8,8,8,8,8,8,16,16,8,8,8,8,4,8,4,8,12,12,12,12,12,12,24,1,1,2,2,4,6,10,
6,6,6,4,4,5,3,2,4,12,12,12,12,4,10,10,10,20,20,20,20,6,4,3,1,2,4,4,2,4,4,4,1,
1,2,2,2,4,6,6,12,3,3,6,6,3,3,6,6,6,6,12,6,6,2,2,2,2,4,4,4,4,4,4,4,4,2,2,4,5,6,
10,3,5,10,4,4,4,8,8,8,8,8,8,8,8,4,4,4,4,4,2,2,4,4,4,4,4,6,6,12,12,6,6,12,12,
12,12,12,6,6,12,12,6,6,12,12,12,12,12,6,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,1,1,2,1,2,5,6,6,12,1,2,2,1,1,1,2,2,2,2,2,3,3,6,6,3,6,2,4,4,
2,2,2,4,4,4,4,4,2,4,4,2,6,12,1,1,1,1,2,2,1,1,1,2,2,1],[1,15,26,78,24,35,13,39,
156,156,36,36,72,6,6,36,18,18,108,144,72,72,8,24,36,72,72,144,52,36,24,24,48,
15,8,56,9,27,36,18,18,18,18,72,72,24,24,72,72,72,36,36,36,36,72,72,72,72,144,
39,39,104,18,18,72,6,24,24,24,48,72,72,144,72,72,72,52,156,72,108,108,48,48,
96,24,24,24,24,48,48,48,48,96,72,72,72,72,144,54,54,108,12,12,24,48,48,18,18,
18,72,78,24,24,48,144,24,72,1,1,7,9,9,3,9,36,36,4,12,24,36,36,72,72,18,18,36,
72,72,13,9,2,18,72,72,13,9,18,7,21,28,6,6,12,27,27,36,36,12,12,36,14,42,18,6,
6,12,12,24,18,36,36,12,12,12,12,6,6,12,12,12,18,18,12,12,24,12,12,24,18,36,36,
6,6,12,12,12,12,12,24,24,24,24,24,24,48,48,18,18,36,18,42,42,84,12,12,12,12,
24,24,48,48,48,48,24,24,24,24,48,48,78,78,18,36,36,18,18,36,72,72,54,54,54,
108,108,108,12,12,24,36,36,144,144,18,18,36,36,144,144,56,168,216,216,72,72,7,
21,28,6,6,12,12,12,13,9,9,18,27,27,9,36,36,72,36,36,3,9,12,36,6,6,18,18,18,6,
6,12,18,18,12,12,36,6,6,8,24,24,24,48,6,6,12,6,6,6,6,12,12,12,12,24,12,12,24,
18,18,18,18,36,36,6,18,12,12,9,18,18,6,6,36,3,3,6,6,6,12,12,12,24,12,12,9,18,
36,9,12,36,36,108,84,84,12,36,18,18,6,6,6,6,12,18,18,36,12,12,18,18,6,6,12,36,
18,18,36,12,12,54,18,42,42,84,56,36,36,36,36,12,12,24,12,12,24,12,12,12,12,24,
36,36,36,36,12,12,24,12,12,24,36,36,12,12,12,12,12,12,12,12,12,12,12,12,24,12,
12,36,36,12,12,1,2,6,3,9,18,18,18,3,3,6,4,12,6,6,18,3,3,6,4,12,3,9,7,21,6,6,
18,9,9,3,3,3,3,6,9,9,18,6,6,18,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,9,9,4,12,12,12,
12,12,12,12,12,12,12,12,12,12,4,12,12,12,12,12,28,6,6,6,6,18,18,6,6,18,36,18,
18,18,6,6,18,12,12,24,18,36,12,12,24,36,36,36,36,36,36,12,12,12,1,1,3,3,1,3,6,
6,6,6,2,6,6,18,3,3,6,6,6,3,3,3,3,3,3,3,6,9,9,3,3,6,6,6,6,6,6,6,6,6,6,6,18,12,
12,1,3,3,3,3,3,3,6,6,1],[1,15,26,78,24,35,13,39,156,156,12,12,24,14,14,28,42,
42,84,112,168,168,36,48,48,96,32,52,36,24,24,48,15,2,8,42,48,56,56,84,112,168,
7,21,28,42,42,42,42,56,56,56,56,168,168,168,12,12,12,12,24,24,24,24,48,39,39,
104,6,6,24,8,8,6,8,48,48,48,52,156,24,84,84,24,24,24,24,48,48,48,48,96,24,24,
24,24,48,48,48,48,96,24,72,48,48,48,96,42,42,84,12,12,24,48,48,24,24,18,6,6,
24,78,12,12,12,12,24,24,48,48,24,96,8,16,16,56,1,1,7,14,14,42,42,168,168,7,7,
7,21,84,84,6,6,12,24,24,13,2,3,12,13,3,6,6,7,21,28,6,6,6,6,12,12,24,24,21,21,
6,6,12,12,12,12,24,14,42,4,4,2,14,6,6,12,12,12,24,12,24,12,12,12,12,12,12,12,
6,6,12,12,12,42,42,12,12,24,12,12,12,12,12,12,12,24,48,48,12,24,24,6,6,6,6,12,
12,24,24,12,12,12,12,24,24,18,6,12,42,42,84,12,12,12,12,24,24,48,48,48,48,12,
12,12,12,24,24,24,24,24,24,24,24,24,24,48,48,48,48,48,48,78,78,6,6,12,12,24,6,
6,12,24,24,42,42,42,84,84,84,12,12,12,12,12,12,24,48,48,12,12,24,24,24,24,48,
48,18,12,24,24,96,96,24,56,168,48,48,48,48,168,168,24,24,7,21,28,6,6,6,6,6,6,
12,12,12,24,24,48,12,12,13,3,6,3,6,21,21,3,6,6,12,12,12,24,12,24,7,3,14,42,14,
42,6,6,6,6,12,6,6,12,12,12,12,12,12,12,12,12,12,6,6,6,6,6,6,6,12,12,12,24,24,
48,6,6,6,6,12,12,12,12,24,12,12,24,12,12,12,12,6,12,24,12,6,6,12,12,21,6,6,6,
6,6,6,6,12,24,12,3,3,6,12,12,6,6,12,6,12,12,12,12,12,12,12,3,3,6,28,84,4,8,8,
24,24,84,84,12,12,12,12,12,6,6,6,6,12,12,6,6,12,6,6,12,12,12,12,6,6,6,6,12,12,
12,12,12,12,12,12,12,6,6,12,12,12,12,12,12,12,6,42,42,42,84,12,12,56,12,24,24,
12,12,12,12,12,12,24,12,12,12,12,24,12,12,12,12,24,12,12,12,12,12,12,12,24,12,
12,24,12,12,12,12,12,12,24,12,12,12,12,12,12,12,12,12,12,12,12,12,24,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,1,2,2,4,7,3,6,6,6,3,3,6,6,12,6,6,6,12,12,
12,12,7,3,12,6,7,1,7,21,2,2,2,4,6,6,12,3,3,3,3,6,6,3,3,6,6,6,6,6,12,3,3,6,6,6,
6,3,6,6,6,6,6,6,6,6,6,3,6,6,6,6,3,6,3,6,4,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,4,12,12,12,28,6,6,6,6,6,6,6,6,12,12,6,6,12,12,12,12,12,6,6,6,6,12,12,
12,6,6,12,12,24,12,12,12,12,12,12,12,12,12,12,24,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,1,1,3,3,1,6,6,6,3,6,2,6,6,6,12,3,3,6,6,6,3,3,3,3,3,3,
3,6,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,1,3,3,3,3,3,3,6,6,1],[1,7,18,
46,8,7,9,23,52,60,4,4,8,2,2,28,6,6,36,48,40,40,12,16,16,32,36,36,24,40,48,32,
1,8,8,7,9,12,6,10,6,10,16,24,8,8,24,40,24,4,4,4,4,8,8,8,8,16,15,13,24,2,2,8,2,
16,16,16,12,28,24,44,20,16,16,8,8,8,8,16,48,32,8,40,32,32,32,18,6,20,20,12,24,
32,48,18,6,6,48,34,8,8,8,8,8,24,32,48,16,16,16,64,8,8,1,1,3,2,1,5,12,12,2,2,4,
8,8,3,1,4,4,3,12,3,3,6,4,4,2,8,12,16,16,2,3,4,4,12,8,16,8,2,2,2,12,4,8,10,12,
8,4,4,8,8,10,6,8,12,12,16,14,4,4,4,12,8,16,16,8,8,8,8,12,16,8,6,2,4,4,8,12,8,
8,4,4,4,12,8,4,4,4,4,8,8,16,16,8,10,4,4,8,18,12,4,12,4,4,8,16,16,8,8,8,8,4,6,
6,4,4,6,6,12,32,32,10,6,18,20,8,12,4,4,4,4,32,32,2,10,16,8,16,16,24,24,24,24,
3,3,2,2,4,1,3,8,2,3,1,4,4,8,8,4,1,1,2,6,4,2,2,4,4,4,6,2,4,6,2,2,2,4,4,4,4,4,4,
4,8,2,2,4,6,6,4,6,4,4,4,8,3,1,6,8,8,2,2,4,4,4,4,8,8,8,4,4,4,4,1,4,4,12,4,12,4,
2,4,2,2,6,4,2,4,4,2,6,2,4,4,2,2,4,6,6,4,8,4,4,4,12,4,8,4,4,4,8,4,8,8,4,4,4,4,
16,4,12,4,4,8,12,4,8,8,8,12,8,12,4,12,8,8,8,4,8,8,8,8,4,4,4,4,4,8,2,2,1,1,2,1,
2,1,2,2,1,1,2,1,1,2,1,3,2,2,2,2,1,3,1,2,4,2,6,2,4,4,4,4,4,1,4,2,2,2,2,2,1,4,4,
4,4,4,4,4,4,2,2,2,2,4,4,4,6,2,2,2,2,2,4,4,4,4,2,4,4,4,4,4,4,8,4,4,1,1,2,2,1,1,
2,2,1,1,1,1,2,2,2,2,2,1,1,1,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,15,10,30,24,35,
5,15,60,60,12,12,24,2,2,4,6,6,12,16,24,24,36,16,16,32,32,20,36,40,40,80,15,1,
3,4,6,6,6,6,8,8,8,8,24,24,24,4,4,4,4,8,8,8,8,16,15,15,40,6,6,24,8,8,6,8,16,16,
16,20,60,24,12,12,8,8,8,8,16,16,16,16,32,24,72,16,16,16,32,6,6,12,20,20,40,80,
80,8,8,18,6,6,24,30,8,8,8,8,16,16,32,32,24,32,8,8,1,1,1,1,3,12,12,2,2,4,8,8,5,
2,3,4,5,3,6,6,4,4,4,4,8,8,16,16,3,3,2,2,4,4,20,20,8,2,2,2,2,4,4,4,8,4,8,12,8,
8,8,8,10,10,20,20,20,6,6,4,4,8,4,4,4,4,4,4,4,8,16,16,4,8,8,4,4,4,4,8,8,16,16,
4,4,4,4,8,8,8,8,8,8,16,16,18,6,12,30,30,6,6,12,12,24,2,2,4,8,8,6,6,6,12,12,12,
4,4,4,4,4,4,8,16,16,4,4,8,8,8,8,16,16,18,4,8,8,32,32,24,24,24,24,24,5,3,6,1,2,
3,3,1,2,2,4,4,4,8,4,8,1,1,2,6,2,2,2,2,4,2,2,4,4,4,4,4,4,4,4,4,4,6,6,4,8,4,2,2,
3,2,2,2,2,2,10,10,4,8,4,2,2,4,8,8,4,8,4,4,4,4,8,8,8,3,1,4,4,12,4,12,2,2,4,4,2,
2,4,2,2,4,4,4,4,6,6,2,2,4,6,6,12,8,8,4,4,8,4,4,4,4,4,4,4,8,8,8,16,4,4,4,4,4,4,
4,4,4,4,4,20,20,8,4,4,4,4,8,8,8,8,8,8,8,8,8,8,12,4,4,8,1,1,2,2,2,1,1,2,2,2,1,
1,1,1,2,2,3,1,2,2,2,2,3,1,1,2,4,4,4,2,2,4,4,4,1,2,2,2,10,2,2,1,4,4,4,4,4,4,4,
4,2,2,2,2,4,4,4,4,2,2,2,2,2,2,4,4,4,4,2,4,4,4,4,4,4,8,4,4,1,1,2,1,1,2,2,2,1,1,
1,1,2,2,2,2,2,1,1,1,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,15,18,54,8,35,9,27,108,
108,4,4,8,2,2,28,6,6,84,112,24,24,12,16,16,32,36,12,24,24,48,32,15,8,56,7,21,
28,6,6,6,6,56,56,8,8,24,24,24,4,4,4,4,8,8,8,8,16,27,27,72,2,2,8,2,16,16,16,36,
108,8,84,84,16,16,32,8,8,8,8,16,16,16,16,32,24,16,16,16,32,42,42,84,12,12,24,
48,48,6,2,2,8,54,8,8,8,8,8,8,32,16,16,16,16,32,56,16,1,1,7,7,7,1,3,12,12,2,2,
4,8,8,9,1,4,9,1,2,7,21,28,2,4,4,2,8,4,16,16,21,21,4,4,12,12,8,8,14,42,14,4,4,
8,4,8,4,4,4,4,4,6,6,12,12,12,6,6,4,4,8,4,4,8,8,8,8,8,4,8,8,8,2,2,4,4,8,4,16,
16,4,4,4,4,8,8,4,4,4,4,8,8,6,2,4,8,42,42,84,4,4,4,4,8,8,16,16,16,16,8,8,8,8,
16,16,54,54,2,4,4,2,2,4,8,8,42,42,42,84,84,84,4,4,8,4,4,16,16,6,4,8,8,32,32,
56,168,168,168,8,8,8,7,21,28,2,2,4,4,4,9,1,1,2,21,21,1,4,4,8,4,8,1,1,2,6,2,2,
2,2,4,2,2,4,4,4,2,2,2,4,2,2,2,2,4,4,4,4,8,4,4,8,2,4,8,4,4,4,3,2,2,6,6,4,4,4,1,
1,2,8,8,2,2,4,4,8,4,4,8,8,4,4,1,4,1,4,28,84,84,84,2,2,2,2,2,4,2,2,4,4,4,2,2,2,
2,4,4,4,4,42,42,42,84,56,4,4,4,4,4,8,8,4,4,8,4,4,8,4,4,4,4,8,4,4,8,4,4,8,4,4,
8,4,4,4,4,4,4,12,12,8,4,4,4,4,4,4,8,8,4,4,8,8,8,8,8,4,4,4,4,4,4,8,8,1,1,2,1,1,
2,2,2,2,2,7,7,21,1,1,1,1,1,2,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,2,2,6,2,2,
2,2,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,28,4,4,4,4,2,2,2,2,2,2,2,2,4,4,4,8,4,2,
2,4,4,4,4,4,4,8,4,4,4,4,4,4,8,4,4,4,8,8,8,1,2,2,2,2,1,1,1,1,1,1,2,2,2,2,1,1,1,
1,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,1,1,1,1,1],[1,7,10,54,24,7,5,27,68,44,12,12,
24,2,2,4,6,6,28,80,40,40,36,16,16,32,32,36,28,40,24,48,1,16,1,7,20,6,10,6,10,
32,8,8,8,24,40,24,4,4,4,4,8,8,8,8,16,11,17,24,6,6,24,8,8,6,8,16,16,16,4,36,40,
28,36,8,8,8,8,16,16,16,16,64,32,16,16,64,24,24,40,32,32,64,6,10,28,12,20,24,
32,48,8,8,14,10,10,32,34,8,8,8,8,16,32,32,24,32,8,8,8,16,2,1,4,1,5,12,12,2,2,
4,8,8,3,2,3,4,4,5,8,6,2,4,4,4,4,8,8,16,16,4,1,2,2,4,4,12,8,8,2,2,2,2,2,2,4,4,
12,24,2,12,8,4,4,6,10,8,12,12,16,14,4,4,16,4,12,4,4,4,4,4,24,8,20,8,4,4,4,8,8,
8,8,8,16,8,4,4,4,4,8,8,8,8,8,8,4,6,4,4,4,10,16,8,16,8,16,16,16,16,8,2,6,10,12,
12,24,6,6,12,32,32,10,6,2,20,24,12,4,4,4,4,4,4,16,16,16,4,4,8,8,8,8,32,32,6,
10,16,16,16,16,24,8,16,8,16,24,24,24,24,8,8,8,16,16,16,16,2,4,4,4,3,6,3,8,4,1,
1,2,2,4,4,4,8,8,4,1,1,2,6,4,2,2,8,4,8,4,4,8,4,4,4,4,4,4,4,4,8,4,4,8,8,8,4,4,8,
2,2,2,2,4,6,2,2,2,2,4,6,4,4,2,4,8,8,4,4,4,4,4,4,4,8,8,4,2,4,1,4,4,12,4,4,8,4,
12,2,2,2,6,2,12,6,4,4,4,8,4,2,4,8,4,2,2,2,2,4,6,6,2,4,4,4,4,4,4,8,8,4,8,8,16,
4,4,4,16,4,4,4,8,4,4,4,8,8,8,4,4,4,4,4,4,8,4,4,4,16,8,12,16,4,8,16,8,8,8,4,8,
8,8,8,4,4,4,4,8,8,8,8,8,8,8,8,8,8,16,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,2,4,2,2,
2,2,4,2,2,4,2,2,2,2,2,6,4,4,4,2,4,2,2,1,8,4,4,4,4,8,8,4,8,8,4,2,2,2,2,4,4,4,4,
2,2,2,2,2,2,2,2,8,4,4,4,4,2,2,4,4,4,4,8,4,4,4,4,4,4,4,4,4,4,4,4,8,8,2,2,2,2,2,
2,2,2,1,1,1,2,2,2,2,1,1,1,1,2,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,7,18,46,
40,7,9,23,52,60,44,44,88,6,6,12,18,18,52,48,24,24,8,24,60,72,72,144,32,36,20,
8,24,80,32,1,16,3,13,12,18,6,18,6,16,24,8,8,24,24,24,36,36,36,36,72,72,72,72,
144,15,13,24,22,22,88,8,8,10,8,24,24,24,48,72,72,144,72,72,72,12,28,40,28,36,
8,8,8,8,16,16,48,16,96,16,16,32,32,32,24,40,24,24,80,32,32,32,32,10,14,20,12,
4,40,64,16,8,8,10,10,10,34,16,32,24,16,16,16,48,8,8,2,3,2,3,3,12,12,4,12,24,
36,36,72,72,18,18,36,72,72,3,2,11,2,18,72,72,4,5,6,2,4,4,8,2,3,2,2,12,12,4,16,
12,8,2,2,2,2,4,4,4,16,8,4,4,6,2,16,20,4,12,18,12,4,24,4,4,4,4,4,4,4,16,8,8,8,
8,16,16,16,16,14,8,12,8,16,4,8,24,24,8,8,16,16,16,32,32,6,12,6,8,16,4,10,16,8,
8,16,16,16,16,16,32,32,4,6,6,10,20,20,24,6,6,12,10,10,6,12,16,20,4,4,4,4,12,4,
24,16,16,12,12,8,8,8,8,48,48,10,12,20,48,48,16,16,16,16,16,24,16,8,16,8,16,24,
24,2,4,4,8,4,5,6,3,2,3,3,2,2,4,12,12,24,12,12,8,1,9,12,36,6,2,6,2,6,12,10,4,4,
4,8,4,4,4,12,4,4,4,8,8,8,8,16,16,2,16,16,32,4,4,8,4,8,8,16,6,6,6,6,12,8,16,8,
2,2,4,6,6,2,2,2,2,8,4,4,4,12,8,8,2,4,4,8,12,8,16,4,6,12,4,8,3,4,4,8,4,12,2,2,
2,2,8,4,4,4,8,4,4,2,2,4,6,2,4,8,8,8,4,4,4,16,4,4,4,4,4,8,8,4,4,4,4,8,4,4,4,32,
8,16,8,4,12,4,12,12,4,4,8,24,4,8,4,8,4,4,1,6,2,6,6,2,4,4,2,4,8,2,6,4,1,2,4,3,
8,2,4,4,4,1,1,1,1,2,2,2,2,4,1,1,2,2,2,2,6,2,6,6,2,8,2,2,4,3,3,4,8,4,4,8,4,4,4,
4,4,4,4,8,2,2,2,2,4,2,2,2,2,8,4,4,8,4,4,4,4,8,4,4,8,2,2,1,2,2,2,2,3,1,3,1,2,2,
1,1,2,2,2,2,2,2,4,2,2,2,2,4,1,1,1,1,1,1,1,1],[1,7,18,78,8,7,9,39,116,92,4,4,8,
14,14,4,42,42,28,80,184,184,12,16,16,32,20,36,24,8,80,32,1,2,42,48,56,16,84,
112,168,1,7,20,42,46,42,46,32,8,56,56,168,184,168,4,4,4,4,8,8,8,8,16,23,29,56,
2,2,8,2,16,16,16,4,36,24,28,36,8,8,8,8,16,16,32,8,8,8,8,48,64,64,16,160,8,72,
48,48,32,6,10,28,4,12,40,64,16,18,6,6,48,10,4,4,4,4,16,16,32,16,16,16,32,8,8,
2,14,14,42,42,168,168,1,4,7,23,84,84,2,2,4,8,8,7,1,4,3,12,2,4,2,2,4,4,8,8,8,4,
1,4,4,4,16,8,8,2,2,2,8,16,2,4,8,4,4,2,6,16,20,4,4,2,8,8,4,4,4,4,16,64,64,8,8,
8,8,20,16,8,4,2,2,4,8,32,32,4,4,12,4,40,32,8,8,8,8,8,10,4,4,8,4,10,16,4,4,4,
12,40,32,16,64,16,64,4,4,4,4,8,8,8,8,8,8,16,16,16,16,16,16,8,2,6,4,4,6,6,12,
48,48,10,6,2,20,24,12,4,4,4,4,8,16,16,4,4,32,32,2,18,24,8,16,16,8,16,8,16,24,
24,2,4,2,2,2,2,4,4,4,8,8,16,4,16,1,3,12,4,1,1,4,4,4,8,8,4,7,1,14,42,2,10,8,4,
4,4,4,4,4,4,4,2,2,2,4,2,4,8,4,32,32,64,2,2,2,6,4,4,16,20,32,8,4,4,4,4,4,4,16,
2,2,4,2,8,2,8,4,4,4,32,2,4,4,4,4,2,16,4,4,4,4,4,4,16,4,4,4,4,1,2,4,12,4,8,4,2,
2,4,8,2,4,4,2,4,8,4,2,2,4,6,2,4,4,8,4,8,8,16,4,8,8,4,8,8,8,4,4,4,4,8,8,4,4,8,
4,4,8,4,4,16,8,8,8,4,8,8,8,8,16,16,8,4,4,4,4,4,1,4,2,2,2,2,16,2,8,2,4,4,4,4,1,
1,4,16,8,2,1,1,1,1,2,4,2,2,2,1,2,4,2,2,2,2,2,2,4,4,4,4,4,1,2,2,2,2,1,2,1,2,4,
8,4,4,4,4,4,4,8,4,8,4,4,2,2,2,4,2,2,2,2,2,8,4,4,8,4,4,4,8,4,4,4,8,4,1,2,2,2,2,
1,1,2,2,1,1,2,2,1,1,2,2,2,2,2,4,2,2,2,2,4,2,1,1,1,1,1,1,1,1],[1,7,26,70,24,7,
13,35,100,108,36,36,72,18,18,12,54,54,52,48,168,168,8,24,36,72,72,144,20,28,
24,40,48,1,2,42,48,56,16,84,112,168,3,13,12,54,42,54,42,16,24,56,56,168,168,
168,36,36,36,36,72,72,72,72,144,27,25,56,18,18,72,6,24,24,24,48,72,72,144,72,
72,72,12,28,24,28,36,24,24,24,24,48,48,32,64,40,24,24,40,48,48,48,48,64,24,32,
40,40,48,10,14,20,20,12,24,32,48,14,6,6,16,10,12,12,12,12,16,48,32,48,8,16,2,
14,14,42,42,168,168,3,2,9,21,84,84,4,12,24,36,36,72,72,18,18,36,72,72,7,9,2,
18,72,72,3,4,2,4,4,6,6,12,8,24,24,2,3,12,12,12,8,12,2,8,4,4,10,6,8,12,12,6,8,
16,12,12,12,12,8,32,32,6,8,20,4,6,6,12,8,16,16,12,20,12,12,16,24,12,12,12,12,
16,24,16,24,32,32,4,10,12,6,4,10,16,20,12,12,12,16,24,48,32,48,32,12,12,12,12,
16,16,24,24,24,24,24,24,48,48,48,48,32,32,4,6,6,12,12,6,6,12,16,16,10,10,6,12,
16,20,12,12,12,12,8,16,48,48,12,12,48,48,6,8,20,12,48,48,8,16,8,16,8,8,8,2,4,
6,6,4,6,6,12,12,8,24,24,48,12,8,3,3,4,2,3,3,12,12,12,24,12,12,7,9,12,36,14,42,
6,2,4,10,4,8,6,12,12,4,12,12,12,2,4,4,12,12,12,12,12,12,16,24,24,16,32,6,6,6,
6,12,4,12,16,16,32,6,6,10,6,12,12,12,8,16,8,16,12,12,12,12,6,6,6,6,12,8,4,6,4,
6,4,12,16,12,2,4,12,12,4,8,6,8,12,12,12,12,12,12,8,24,24,16,8,12,2,6,12,3,6,4,
8,4,2,4,4,4,4,2,4,4,4,4,4,8,8,4,8,8,8,4,8,4,8,4,4,4,4,4,4,4,8,4,4,4,24,8,1,1,
2,6,6,6,6,2,4,12,12,12,12,8,6,8,6,4,6,12,12,12,12,6,2,4,2,8,8,4,1,1,2,2,1,1,1,
2,2,2,2,1,2,2,3,6,6,3,3,6,4,8,4,4,4,4,4,2,2,2,2,2,2,2,2,8,2,6,8,4,4,4,4,4,4,4,
4,8,8,2,2,1,2,3,1,1,1,2,2,1,3,6,2,2,2,2,2,2,2,2,2,2,2,2,4,1,1,1,1,1,1,1,1],[1,
7,26,38,24,7,13,19,36,76,36,36,72,6,6,36,18,18,60,16,24,24,8,24,36,72,72,144,
36,28,24,8,80,1,8,8,9,15,4,18,6,18,6,40,8,8,24,24,24,36,36,36,36,72,72,72,72,
144,19,9,24,18,18,72,6,24,24,24,48,72,72,144,72,72,72,20,20,24,44,20,16,48,32,
8,24,24,8,16,16,16,16,24,24,24,48,22,10,12,4,12,40,64,16,14,6,6,16,34,24,8,48,
80,8,16,1,1,5,3,3,12,12,4,12,24,36,36,72,72,18,18,36,72,72,3,9,2,18,72,72,4,3,
4,3,3,2,6,12,5,12,12,4,16,20,2,4,4,8,8,4,4,8,8,2,6,16,20,4,12,18,4,12,8,4,4,
16,16,6,20,2,6,12,24,24,12,4,4,4,8,8,8,24,24,16,16,4,10,12,6,18,12,4,4,12,4,8,
16,16,8,8,24,24,16,16,10,6,12,12,6,6,12,10,10,22,12,20,4,12,8,12,12,48,48,6,
12,12,48,48,24,24,8,8,8,3,3,6,2,4,4,3,3,5,3,12,12,24,12,12,1,9,12,36,6,2,6,6,
2,4,6,4,12,2,8,8,24,8,16,2,2,2,6,2,2,4,4,4,4,12,8,6,6,6,6,12,4,6,10,2,8,8,12,
1,3,6,2,6,4,12,4,12,8,4,2,6,12,3,4,12,4,4,2,2,2,4,2,2,4,6,4,4,4,4,4,4,4,4,4,4,
4,8,4,4,4,4,16,8,4,4,8,12,4,24,16,4,20,12,12,8,4,24,4,4,4,8,1,6,6,6,3,1,2,4,4,
2,6,1,3,1,2,3,4,4,2,1,2,1,2,1,1,2,1,2,4,2,6,2,8,6,6,1,4,6,3,3,4,4,4,4,2,2,2,2,
2,2,2,2,2,2,4,4,2,4,4,4,4,4,4,4,4,4,4,8,1,1,1,2,2,3,1,3,1,2,1,1,1,1,2,2,2,2,2,
2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,15,18,54,8,35,9,27,108,108,4,4,8,14,14,4,42,
42,12,16,168,168,12,16,16,32,36,12,24,24,48,32,15,2,42,48,56,84,112,168,1,3,4,
42,42,42,42,8,8,56,56,168,168,168,4,4,4,4,8,8,8,8,16,27,27,72,2,2,8,2,16,16,
16,36,108,8,12,12,8,8,8,8,16,16,8,8,8,8,16,16,16,16,32,24,16,16,16,32,6,6,12,
12,12,24,48,48,6,2,2,8,54,4,4,4,4,16,16,16,32,16,16,16,32,8,16,1,14,14,42,42,
168,168,1,1,7,21,84,84,2,2,4,8,8,9,1,4,9,1,2,4,2,2,4,4,8,8,8,3,3,4,4,12,12,8,
8,2,4,8,4,8,8,8,8,6,6,12,12,12,42,42,4,4,4,4,16,16,8,8,8,8,4,8,8,8,4,4,2,2,4,
8,8,8,4,4,4,4,8,8,8,8,8,8,16,16,6,2,4,8,4,4,4,4,8,8,16,16,16,16,4,4,4,4,8,8,8,
8,8,8,16,16,16,16,54,54,2,4,4,2,2,4,8,8,6,6,6,12,12,12,4,4,4,4,16,16,4,4,16,
16,6,4,8,8,32,32,24,24,8,8,8,2,2,2,2,4,4,8,8,16,4,4,9,1,1,2,3,3,1,4,4,4,8,4,8,
7,1,14,42,14,42,2,2,2,2,4,4,4,4,4,2,2,2,2,2,4,4,8,8,16,2,2,2,2,4,4,4,4,8,4,4,
4,4,2,4,8,4,21,2,2,6,6,4,4,4,8,4,2,2,4,4,4,2,4,4,4,4,4,4,4,8,4,4,1,4,1,2,4,12,
2,4,4,2,2,4,2,2,4,6,4,4,4,4,4,8,8,4,4,8,8,8,16,4,4,12,12,8,8,4,4,4,4,4,4,8,8,
8,8,8,8,8,16,16,4,4,4,4,8,1,7,1,2,2,2,4,2,2,2,4,4,4,4,7,1,1,2,1,4,2,2,1,1,2,2,
1,1,2,1,1,2,4,4,4,2,2,4,4,4,4,2,6,2,2,1,2,1,2,4,4,4,4,2,2,2,2,2,2,2,2,2,2,4,4,
2,4,4,4,4,4,4,4,4,4,4,8,1,1,1,2,2,1,1,1,2,2,1,2,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,
1,1,1,1,1,1,1,1],[1,15,18,54,40,35,9,27,108,108,44,44,88,6,6,12,18,18,36,48,
72,72,8,24,60,72,72,144,32,36,60,8,8,16,32,15,3,9,12,18,18,18,18,24,24,24,24,
72,72,72,36,36,36,36,72,72,72,72,144,27,27,72,22,22,88,8,8,10,8,24,24,24,48,
72,72,144,72,72,72,36,108,88,36,36,8,8,8,8,16,16,16,16,32,24,120,72,72,72,144,
32,32,32,32,18,18,36,4,4,8,16,16,8,8,30,22,22,88,54,24,16,16,16,144,24,8,24,
16,1,3,3,3,9,36,36,4,12,24,36,36,72,72,18,18,36,72,72,9,2,11,2,18,72,72,9,11,
22,6,9,9,2,2,36,36,4,4,36,8,2,6,6,6,2,2,4,4,4,8,18,36,44,2,2,4,4,4,18,18,4,4,
8,4,4,4,4,4,4,4,8,16,16,8,8,8,8,16,16,16,16,18,36,36,8,16,30,22,44,18,8,16,54,
54,6,22,44,44,24,18,18,36,72,72,18,18,18,36,36,36,4,4,4,4,4,4,8,16,16,36,36,8,
8,8,8,144,144,30,18,36,36,144,144,16,16,16,16,16,24,16,72,72,72,72,24,24,8,8,
8,16,16,16,16,9,11,6,9,18,9,9,9,2,2,4,36,36,72,36,36,8,3,9,12,36,6,6,18,18,18,
2,2,4,18,18,4,4,4,4,4,4,36,4,4,4,8,8,8,8,16,16,6,10,22,18,18,18,36,36,8,16,8,
6,18,2,2,9,18,2,2,2,18,2,2,4,4,4,8,36,8,8,11,18,36,4,8,9,12,36,12,36,4,12,12,
36,18,2,18,2,2,4,18,18,36,4,4,4,22,22,36,18,18,2,2,36,6,18,18,4,4,4,4,44,36,
36,36,4,4,8,4,4,4,36,4,4,36,36,36,4,4,36,4,4,36,4,4,4,4,4,4,4,8,8,12,4,8,4,8,
4,36,4,36,8,8,8,8,8,8,8,8,8,16,1,2,6,3,9,18,2,18,18,2,4,4,18,4,2,2,4,4,4,3,3,
1,6,6,18,9,9,1,11,9,18,2,2,2,18,3,1,2,2,2,2,2,2,4,9,9,4,4,4,4,4,4,4,4,4,4,4,4,
2,2,4,18,18,2,18,36,18,2,2,18,2,18,18,18,4,4,36,2,4,4,4,4,4,4,36,36,4,4,36,36,
4,4,4,4,4,4,36,36,4,4,4,4,4,4,4,4,4,4,4,4,2,3,1,1,2,6,18,1,1,2,1,1,1,2,9,1,9,
2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,18,4,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[
1,7,26,70,24,7,13,35,100,108,12,12,24,14,14,28,42,42,36,48,184,184,36,48,48,
96,32,20,28,24,40,48,1,2,8,42,48,56,8,84,112,168,7,9,12,42,46,42,46,16,24,56,
56,168,184,168,12,12,12,12,24,24,24,24,48,27,25,56,6,6,24,8,8,6,8,48,48,48,12,
28,40,44,20,24,24,24,24,48,48,48,48,24,24,24,24,48,32,32,80,96,24,24,40,48,48,
64,18,6,20,20,12,24,32,48,24,24,14,10,10,32,10,12,12,12,12,24,40,48,16,24,64,
8,8,16,16,8,16,1,1,14,14,42,42,168,168,3,2,7,23,84,84,6,6,12,24,24,7,2,3,12,5,
8,6,3,3,10,6,6,6,12,4,24,24,2,3,6,6,12,12,12,8,16,2,4,4,2,2,2,6,6,12,20,12,8,
2,4,8,12,12,12,12,10,6,8,12,12,4,2,12,12,12,12,12,12,12,12,20,8,32,32,12,8,10,
6,6,6,12,4,16,16,12,12,12,20,24,16,16,16,4,6,4,4,18,12,12,20,12,12,24,16,48,
32,48,32,12,12,12,12,24,24,24,24,24,24,24,24,24,24,48,48,48,48,4,6,6,10,12,12,
24,10,10,20,32,32,10,6,18,20,8,12,12,12,12,12,12,12,48,48,12,12,24,24,24,24,
64,64,6,10,24,16,48,48,24,24,48,48,48,48,24,24,24,24,24,8,8,8,16,16,16,16,3,3,
6,6,6,6,6,6,12,12,24,24,48,12,8,3,6,5,8,2,3,3,6,6,12,12,12,24,16,12,7,3,14,42,
2,6,4,6,6,4,12,12,12,12,12,4,12,12,12,6,6,10,6,6,6,12,4,12,16,16,32,10,6,6,6,
12,12,8,12,16,12,12,12,12,12,12,4,4,8,2,2,6,6,12,2,6,6,6,4,6,4,12,16,5,3,2,12,
12,6,6,6,8,12,12,12,12,8,8,12,2,4,3,6,4,12,4,4,8,8,24,24,12,12,12,12,12,12,6,
2,6,12,12,6,10,4,2,4,12,12,2,10,6,4,12,12,12,12,12,12,12,12,4,2,2,6,6,12,12,
12,12,12,6,6,6,12,12,4,4,4,4,4,8,4,12,12,12,12,12,12,12,12,20,12,8,12,12,12,
12,12,12,8,12,12,4,8,12,12,12,12,12,12,12,12,12,12,4,12,12,4,4,4,4,4,4,4,4,4,
12,8,8,8,4,8,4,12,4,12,12,12,12,12,8,8,8,8,8,8,8,8,8,16,1,2,2,4,2,2,6,6,3,3,6,
8,6,4,6,12,12,12,12,2,2,8,4,1,1,1,2,2,2,4,6,6,12,1,3,3,6,6,3,5,2,6,6,6,6,12,2,
6,6,2,3,1,2,2,2,2,2,2,4,3,6,3,6,4,4,4,4,4,4,4,4,4,4,4,4,2,2,4,2,6,6,12,12,6,6,
12,12,12,12,12,2,2,6,2,6,12,12,6,6,12,12,12,4,12,12,4,2,4,4,4,4,4,4,12,12,12,
12,12,12,12,12,12,12,4,12,12,4,4,4,4,4,4,4,12,12,12,12,12,12,4,4,4,4,4,4,4,4,
4,4,4,4,2,3,1,1,2,6,6,12,1,1,2,1,1,1,2,3,1,3,6,6,2,2,2,4,2,2,2,2,2,2,2,2,2,2,
2,6,12,4,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,3,18,18,24,32,80,1,9,9,
36,36,36,72,6,6,12,18,18,36,8,24,36,72,72,144,48,96,3,9,18,18,24,36,36,36,36,
72,72,72,72,144,9,18,18,72,6,24,24,24,48,72,72,144,72,72,72,64,16,8,128,8,8,
24,12,96,96,16,32,3,3,4,12,24,36,36,72,72,18,18,36,72,72,9,2,18,72,72,12,24,
24,24,48,24,24,9,12,36,6,16,32,1,16,48,12,2,8,8,8,8,24,12,1,3,6,4,8,1,1,2,1],[
1,15,12,80,32,35,4,12,18,18,96,48,15,3,12,36,9,12,64,8,4,16,100,16,48,32,16,1,
1,3,3,9,9,9,24,12,12,12,3,3,9,32,16,5,4,1,8,4,4,12,12,1,3,3,4,4,1,1,1,1,1],[1,
15,36,32,8,35,54,54,72,96,48,24,15,9,108,27,36,36,16,2,40,8,24,24,1,27,18,27,
18,16,12,72,6,24,9,9,9,8,16,2,2,6,6,9,8,6,6,1,1,1],[1,15,12,36,36,32,8,35,6,
18,72,72,54,36,36,72,24,54,8,24,96,48,24,48,15,18,18,48,9,36,36,36,24,72,108,
36,36,36,72,27,36,72,16,2,40,8,24,24,24,48,48,24,24,24,1,6,9,6,18,9,18,9,18,
18,27,36,36,27,9,18,18,72,72,16,32,2,6,12,72,6,12,8,24,24,24,24,24,24,6,18,9,
9,18,9,18,18,18,8,16,2,2,6,6,6,12,12,6,6,6,24,9,8,8,8,6,2,6,6,6,6,6,6,1,8,6,1,
2,1],[1,15,60,32,8,35,90,72,90,128,48,24,96,15,15,18,54,180,45,54,18,16,2,40,
8,24,96,24,1,45,45,54,54,16,32,12,96,6,24,24,15,9,27,8,16,2,2,6,24,6,9,8,8,6,
6,1,6,1,2,1],[1,33,42,8,32,27,21,21,2,90,36,54,36,32,48,96,24,96,3,3,27,9,6,
54,54,54,36,36,27,27,27,18,18,16,8,8,2,12,12,8,96,24,24,1,9,18,9,9,27,27,27,
18,54,16,32,12,12,12,12,24,24,12,6,12,12,24,9,3,3,9,9,9,9,8,16,1,1,2,12,12,6,
6,9,8,1,1,3,3,3,3,6,1,3,3,1,1,1,1],[1,15,60,20,20,45,15,45,60,90,36,20,80,60,
60,60,15,15,90,90,45,10,36,15,15,60,60,45,10,20,20,36,15,15,30,15,15,10,10,10,
15,15,6,6,10,6,6,1,1],[1,15,60,20,20,45,15,45,60,90,36,20,80,60,60,60,15,15,
90,90,45,10,36,15,15,60,60,45,10,20,20,36,15,15,30,15,15,10,10,10,15,15,6,6,
10,6,6,1,1],[1,15,18,54,24,64,35,9,27,108,108,36,36,72,6,6,12,18,18,36,48,72,
72,8,24,36,72,72,144,36,36,192,15,3,9,12,18,18,18,18,24,24,24,24,72,72,72,36,
36,36,36,72,72,72,72,144,27,27,72,18,18,72,6,24,24,24,48,72,72,144,72,72,72,
36,108,72,36,36,72,72,72,72,144,18,18,36,18,18,18,72,54,144,24,24,16,128,96,
96,64,1,3,3,3,9,36,36,4,12,24,36,36,72,72,18,18,36,72,72,9,9,2,18,72,72,9,9,
18,9,9,36,36,36,6,6,6,18,36,36,18,18,18,36,36,18,18,36,18,54,54,18,36,36,18,
18,36,72,72,18,18,18,36,36,36,36,36,144,144,18,18,36,36,144,144,72,72,72,72,
48,96,96,9,9,9,18,9,9,9,36,36,72,36,36,3,9,12,36,6,6,18,18,18,18,18,36,6,6,18,
18,18,18,36,36,6,18,9,18,18,36,9,18,36,9,12,36,12,36,12,36,18,18,18,18,36,18,
18,36,18,18,36,18,18,36,36,36,36,36,36,36,36,36,36,36,36,16,48,12,8,16,1,2,6,
3,9,18,18,18,18,3,3,6,6,18,9,9,9,9,18,18,9,9,18,18,18,36,18,18,18,18,18,36,36,
36,36,36,36,36,12,24,24,3,6,18,9,9,18,1,8,12,1,3,1],[1,15,18,54,24,64,35,9,27,
108,108,36,36,72,6,6,12,18,18,36,48,72,72,8,24,36,72,72,144,36,36,192,15,3,9,
12,18,18,18,18,24,24,24,24,72,72,72,36,36,36,36,72,72,72,72,144,27,27,72,18,
18,72,6,24,24,24,48,72,72,144,72,72,72,36,108,72,36,36,72,72,72,72,144,18,18,
36,18,18,18,72,54,144,24,24,16,32,48,48,64,1,3,3,3,9,36,36,4,12,24,36,36,72,
72,18,18,36,72,72,9,9,2,18,72,72,9,9,18,9,9,36,36,36,6,6,6,18,36,36,18,18,18,
36,36,18,18,36,18,54,54,18,36,36,18,18,36,72,72,18,18,18,36,36,36,36,36,144,
144,18,18,36,36,144,144,72,72,72,72,48,48,48,96,96,96,96,96,9,9,9,18,9,9,9,36,
36,72,36,36,3,9,12,36,6,6,18,18,18,18,18,36,6,6,18,18,18,18,36,36,6,18,9,18,
18,36,9,18,36,9,12,36,12,36,12,36,18,18,18,18,36,18,18,36,18,18,36,18,18,36,
36,36,36,36,36,36,36,36,36,36,36,4,16,32,48,48,96,96,1,2,6,3,9,18,18,18,18,3,
3,6,6,18,9,9,9,9,18,18,9,9,18,18,18,36,18,18,18,18,18,36,36,36,36,36,36,36,12,
12,12,3,6,18,9,9,18,4,8,24,12,12,24,1,1],[1,7,26,54,24,64,7,13,27,84,108,12,
12,24,14,14,28,42,42,36,16,168,168,36,48,48,96,32,12,12,24,24,64,128,1,2,8,42,
48,56,8,84,112,168,7,9,4,42,42,42,42,24,56,56,168,168,168,12,12,12,12,24,24,
24,24,48,27,21,56,6,6,24,8,8,6,8,48,48,48,12,12,24,36,12,24,24,24,24,48,48,48,
48,24,24,24,24,48,48,24,24,24,24,48,18,6,12,12,12,48,24,24,6,6,6,6,12,12,12,
12,24,24,48,24,48,8,16,16,8,16,16,16,32,32,32,64,1,1,14,14,42,42,168,168,3,7,
21,84,84,6,6,12,24,24,7,2,3,12,3,6,3,3,6,6,6,6,12,24,24,3,6,6,12,12,12,12,2,4,
4,2,6,6,12,12,12,12,12,12,12,6,6,12,12,12,12,12,12,12,12,12,12,6,6,6,6,12,12,
12,12,12,18,12,12,12,12,12,48,48,12,12,12,12,24,24,24,24,24,24,24,24,24,24,48,
48,48,48,6,6,6,12,12,24,6,6,12,6,6,18,12,12,12,12,12,12,12,12,48,48,12,12,24,
24,24,24,48,48,6,12,12,48,48,24,24,48,48,48,48,24,24,24,16,16,16,32,32,32,32,
32,32,32,32,32,64,32,32,32,64,64,3,3,6,6,6,6,6,6,12,12,24,24,48,12,3,6,3,3,3,
6,6,12,12,12,24,12,12,7,3,14,42,6,6,12,12,12,12,12,12,12,12,6,6,6,6,6,6,12,12,
6,6,6,6,12,12,12,12,12,12,12,12,6,6,12,6,6,6,6,12,3,3,12,12,6,6,6,12,12,12,12,
12,3,6,4,4,8,8,24,24,12,12,12,12,12,12,6,6,12,12,6,6,12,12,6,6,12,12,12,12,12,
12,12,12,6,6,12,12,12,12,12,6,6,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,4,16,32,
16,16,32,32,32,32,64,64,1,2,2,4,6,6,3,3,6,6,6,12,12,12,12,1,1,2,2,2,4,6,6,12,
3,3,6,6,3,3,6,6,6,6,12,6,6,3,6,3,6,6,6,12,12,6,6,12,12,12,12,12,6,6,12,12,6,6,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,4,4,8,8,
4,8,3,6,6,12,3,3,6,6,6,12,4,8,8,16,4,8,8,4,8,16,1,1],[1,15,18,54,24,64,35,9,
27,108,108,36,36,72,6,6,12,18,18,36,48,72,72,8,24,36,72,72,144,36,36,192,15,3,
9,12,18,18,18,18,24,24,24,24,72,72,72,36,36,36,36,72,72,72,72,144,27,27,72,18,
18,72,6,24,24,24,48,72,72,144,72,72,72,36,108,72,36,36,72,72,72,72,144,18,18,
36,18,18,18,72,54,144,24,24,80,16,48,64,1,3,3,3,9,36,36,4,12,24,36,36,72,72,
18,18,36,72,72,9,9,2,18,72,72,9,9,18,9,9,36,36,36,6,6,6,18,36,36,18,18,18,36,
36,18,18,36,18,54,54,18,36,36,18,18,36,72,72,18,18,18,36,36,36,36,36,144,144,
18,18,36,36,144,144,72,72,72,72,48,48,96,48,9,9,9,18,9,9,9,36,36,72,36,36,3,9,
12,36,6,6,18,18,18,18,18,36,6,6,18,18,18,18,36,36,6,18,9,18,18,36,9,18,36,9,
12,36,12,36,12,36,18,18,18,18,36,18,18,36,18,18,36,18,18,36,36,36,36,36,36,36,
36,36,36,36,36,4,4,16,16,48,12,1,2,6,3,9,18,18,18,18,3,3,6,6,18,9,9,9,9,18,18,
9,9,18,18,18,36,18,18,18,18,18,36,36,36,36,36,36,36,12,12,12,24,3,6,18,9,9,18,
1,4,4,12,1,3,1],[1,7,18,78,24,64,7,9,39,84,60,36,36,72,6,6,12,18,18,84,144,24,
24,8,24,36,72,72,144,36,12,48,96,128,64,1,48,3,21,36,18,6,18,6,48,24,8,8,24,
24,24,36,36,36,36,72,72,72,72,144,15,21,24,18,18,72,6,24,24,24,48,72,72,144,
72,72,72,12,60,24,60,84,96,192,48,48,96,96,96,24,24,24,48,18,30,60,24,48,48,6,
6,6,18,48,96,48,24,16,128,96,96,64,6,3,6,3,3,12,12,4,12,24,36,36,72,72,18,18,
36,72,72,3,9,2,18,72,72,3,6,12,12,24,6,3,12,12,12,12,6,24,12,12,12,12,24,6,24,
48,24,6,12,12,24,24,24,48,48,48,96,96,6,12,6,12,30,48,24,24,48,48,48,48,48,96,
96,12,6,6,12,12,6,6,12,18,18,6,36,48,36,24,48,12,12,48,48,6,12,12,48,48,24,48,
24,48,32,64,128,16,32,32,6,12,12,24,12,3,3,6,3,3,12,12,24,12,12,1,9,12,36,6,2,
6,12,24,6,12,12,2,48,48,96,12,12,24,12,24,24,48,6,6,6,6,12,12,6,6,12,6,12,12,
24,24,48,12,6,12,3,12,24,12,6,12,12,12,12,6,12,24,24,12,24,24,24,12,12,12,12,
12,12,12,12,12,16,48,12,8,16,32,1,6,6,6,6,12,24,6,6,6,12,24,3,3,6,6,3,3,6,6,6,
3,3,12,12,12,12,6,6,6,6,24,24,32,8,16,4,8,8,6,1,3,6,3,6,6,6,6,1,4,8,3,2,1,1],[
1,7,42,54,24,64,7,21,27,36,108,36,36,72,6,6,84,18,18,108,48,24,24,8,24,36,72,
72,144,36,12,72,24,48,64,64,64,1,24,24,21,27,12,18,6,18,6,72,8,8,24,24,24,36,
36,36,36,72,72,72,72,144,27,9,24,18,18,72,6,24,24,24,48,72,72,144,72,72,72,36,
36,24,108,36,48,144,96,24,72,72,24,48,48,48,48,24,24,24,48,54,18,36,12,36,24,
48,6,6,6,18,72,24,48,48,24,16,128,96,96,64,3,3,9,3,3,12,12,4,12,24,36,36,72,
72,18,18,36,72,72,3,9,2,18,72,72,3,9,9,6,18,12,9,12,12,12,12,6,12,12,12,12,6,
18,12,12,6,12,36,24,12,12,6,12,6,18,12,36,12,12,12,24,24,24,72,72,48,48,6,12,
6,54,36,12,12,36,12,24,48,48,24,24,72,72,48,48,18,6,12,12,6,6,12,18,18,54,36,
36,12,36,24,12,12,48,48,6,12,12,48,48,72,72,16,16,32,96,64,16,32,32,9,9,18,6,
12,12,3,3,9,3,12,12,24,12,12,1,9,12,36,6,2,6,18,6,12,6,12,12,2,24,24,72,24,48,
6,6,6,18,6,6,12,12,12,12,36,24,6,6,6,6,12,12,6,6,12,3,9,6,6,18,12,12,36,24,12,
6,12,3,12,36,6,6,6,12,6,6,12,18,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,24,12,12,16,48,12,8,16,32,1,6,6,6,9,3,6,12,12,6,6,9,3,6,12,12,3,3,3,3,6,6,
6,6,6,3,3,12,12,12,12,6,6,6,6,12,12,12,12,16,16,4,12,8,4,8,8,3,3,1,3,3,3,3,6,
6,6,6,1,4,8,3,1,1,1,1],[1,3,46,30,48,64,1,21,9,12,48,48,48,72,12,6,84,30,24,
36,48,24,8,24,48,72,120,192,48,12,12,96,24,48,64,64,64,1,24,9,16,6,8,24,21,9,
24,18,6,24,12,24,12,12,36,48,36,48,72,96,72,72,144,9,4,24,18,72,12,12,6,12,24,
24,24,48,72,72,144,96,72,72,12,12,36,24,36,24,36,24,48,24,192,12,96,96,12,24,
48,24,12,24,24,48,48,48,48,18,12,48,24,36,12,6,18,6,18,6,96,48,12,24,24,24,24,
24,16,128,96,96,64,3,3,3,6,12,3,3,6,4,12,24,36,36,72,72,24,18,36,72,72,3,9,2,
18,72,72,3,3,3,9,24,12,12,12,3,9,6,6,12,6,6,6,6,6,6,12,6,18,6,6,36,12,6,12,6,
6,12,12,12,12,12,24,24,24,24,12,24,6,18,6,6,36,6,6,6,6,6,6,12,72,12,72,12,24,
18,6,12,48,6,24,24,18,18,6,6,12,12,12,12,12,36,96,96,48,24,48,24,6,6,12,6,18,
12,6,18,12,6,48,24,24,6,12,12,36,36,24,24,24,24,24,24,24,12,24,72,72,16,96,16,
16,16,64,16,16,16,32,3,3,3,24,9,3,6,12,12,12,24,6,3,3,9,6,6,12,9,12,36,1,6,18,
6,6,6,12,6,6,12,12,12,12,24,24,2,2,24,6,6,6,6,6,6,12,12,72,6,6,6,18,6,6,36,6,
6,12,24,12,6,6,3,3,3,6,6,12,12,9,6,18,6,6,6,6,36,12,12,6,12,3,12,36,6,6,6,6,6,
6,6,6,6,18,6,12,12,6,6,6,6,6,6,6,6,6,6,6,6,12,6,6,6,12,12,12,12,24,12,12,6,6,
16,48,12,8,16,16,16,1,3,6,6,9,12,6,6,6,6,6,6,9,12,3,6,6,6,3,3,3,3,6,6,6,6,6,3,
3,12,12,12,12,6,6,6,6,6,6,6,6,6,6,6,6,16,12,8,8,4,8,4,8,8,3,3,1,3,3,3,3,6,6,6,
6,1,4,8,3,1,1,1,1],[1,3,22,54,48,64,1,9,21,12,48,48,48,72,12,6,12,30,24,60,48,
48,24,8,24,48,120,72,192,48,12,12,24,48,48,48,64,64,64,1,9,16,24,6,8,24,3,15,
12,24,18,6,24,12,24,12,12,48,36,48,36,72,72,72,96,144,9,4,24,18,72,12,12,6,12,
24,24,24,48,72,72,144,72,96,72,12,12,24,12,36,24,36,24,48,24,96,24,96,48,12,
12,48,48,48,48,24,24,12,24,24,48,48,48,48,6,12,24,12,24,24,12,36,6,6,18,6,18,
48,48,48,12,24,24,24,24,24,16,128,96,96,64,3,3,3,6,12,3,3,6,4,12,24,36,36,72,
72,18,24,36,72,72,3,9,2,18,72,72,3,3,12,9,3,12,12,12,12,9,3,6,6,12,6,6,6,6,6,
6,6,12,6,12,6,12,6,24,12,12,6,12,6,6,12,12,12,12,24,24,24,24,12,24,6,6,6,6,12,
6,12,6,24,6,6,6,6,24,12,24,12,48,48,12,24,6,12,24,6,6,12,24,24,24,6,6,18,18,
48,48,12,12,36,12,12,12,24,48,24,48,48,48,6,6,12,6,6,12,6,12,12,18,24,6,24,24,
24,6,36,36,12,12,24,24,24,24,24,24,24,12,24,72,72,16,32,64,16,16,16,64,16,16,
16,32,3,9,3,12,3,3,12,6,12,12,12,24,6,3,9,3,6,6,12,9,12,36,1,6,6,12,6,6,6,6,
12,6,12,12,12,12,24,24,2,2,6,6,6,6,6,6,24,12,12,24,48,6,6,6,6,6,12,12,6,24,6,
6,12,24,12,6,6,3,3,3,6,6,12,12,3,6,6,6,12,6,6,6,6,12,12,12,24,6,12,3,12,36,6,
6,6,6,6,6,6,6,6,18,12,12,6,6,6,6,6,6,6,6,6,6,6,6,6,12,6,6,6,12,12,12,12,24,12,
12,6,6,16,48,12,8,16,16,16,1,3,6,6,3,6,6,6,6,6,12,6,6,3,6,12,3,6,6,6,3,3,3,3,
6,6,6,6,6,3,3,12,12,12,12,6,6,6,6,6,6,6,6,6,6,6,6,16,4,8,8,8,4,8,4,8,8,3,3,1,
3,3,3,3,6,6,6,6,1,4,8,3,1,1,1,1],[1,7,18,30,72,64,7,9,15,36,60,60,60,120,6,6,
12,18,18,36,24,24,8,24,108,72,72,144,96,12,36,24,24,96,128,64,1,3,9,18,6,18,6,
24,8,8,24,24,24,36,36,36,36,72,72,72,72,144,15,9,24,30,30,120,24,24,18,24,24,
24,24,48,72,72,144,72,72,72,12,12,72,12,12,24,24,24,24,48,48,48,48,72,72,24,
24,48,96,96,96,96,6,6,12,12,48,24,24,18,18,18,6,72,48,48,48,48,24,16,128,96,
96,64,3,3,3,12,12,4,12,24,36,36,72,72,18,18,36,72,72,3,6,15,2,18,72,72,9,18,3,
6,6,12,12,12,12,24,6,6,6,12,12,12,6,6,12,6,12,12,12,12,12,12,12,12,12,24,24,
24,24,48,48,48,48,6,12,24,48,6,12,6,24,48,6,18,18,36,36,72,6,6,12,6,6,6,12,12,
12,12,12,12,12,48,48,12,12,24,24,24,24,48,48,18,12,12,48,48,48,48,48,48,48,72,
48,72,72,32,32,32,128,16,32,32,9,18,3,3,3,6,6,12,12,12,24,12,12,24,1,9,12,36,
6,2,6,6,6,6,12,12,12,12,12,12,12,12,12,24,24,24,24,48,48,2,6,6,6,6,12,24,48,
24,6,6,6,6,6,6,6,12,12,12,12,24,24,6,12,12,24,3,12,36,6,6,6,12,12,6,6,18,12,
12,12,12,12,12,12,12,12,12,12,24,12,24,12,24,12,16,48,12,8,32,16,1,6,6,6,6,6,
12,12,6,12,6,12,12,12,3,3,6,6,6,6,12,3,3,12,12,12,12,12,6,6,12,12,12,12,16,16,
8,16,4,8,8,6,1,3,6,3,6,12,6,1,4,8,3,2,1,1],[1,7,18,30,24,64,7,9,15,36,60,36,
36,72,6,6,12,18,18,36,24,24,8,24,36,72,72,144,28,12,48,64,1,3,9,18,6,18,6,24,
8,8,24,24,24,36,36,36,36,72,72,72,72,144,15,9,24,18,18,72,6,24,24,24,48,72,72,
144,72,72,72,12,12,24,12,12,24,24,24,48,6,6,24,48,6,6,6,30,48,16,128,96,96,64,
3,3,3,12,12,4,12,24,36,36,72,72,18,18,36,72,72,3,9,2,18,72,72,4,3,3,12,12,12,
12,12,12,12,18,6,12,24,24,6,12,6,6,6,12,12,6,6,12,6,6,6,12,12,12,48,48,6,12,
12,48,48,16,32,32,3,3,3,3,12,12,24,12,12,1,9,12,36,6,2,6,6,12,2,6,6,6,6,12,6,
6,6,12,12,6,12,3,24,12,12,12,12,24,16,48,12,8,16,1,6,6,6,6,1,3,6,6,6,6,3,3,4,
8,8,1,3,3,1,4,1,1,1],[1,7,18,30,24,64,7,9,15,36,60,36,36,72,6,6,12,18,18,36,
24,24,8,24,36,72,72,144,12,60,48,64,1,3,9,18,6,18,6,24,8,8,24,24,24,36,36,36,
36,72,72,72,72,144,15,9,24,18,18,72,6,24,24,24,48,72,72,144,72,72,72,12,12,24,
12,12,24,24,24,48,6,6,24,48,30,6,6,48,6,48,48,16,128,96,96,64,3,3,3,12,12,4,
12,24,36,36,72,72,18,18,36,72,72,3,9,2,18,72,72,3,12,3,12,12,12,12,12,12,6,48,
48,6,12,12,18,12,6,6,6,12,12,6,6,12,6,6,6,12,12,12,48,48,6,12,12,48,48,24,24,
24,16,32,32,3,3,3,3,12,12,24,12,12,1,9,12,36,6,2,6,6,12,2,6,6,6,6,12,6,6,24,
12,6,6,12,3,12,12,12,12,12,12,12,12,12,24,16,48,12,8,16,32,1,6,6,6,6,6,3,3,6,
3,3,6,6,6,12,12,12,12,4,8,8,1,3,3,6,6,1,4,8,3,1,1],[1,7,26,54,24,64,7,13,27,
84,108,36,36,72,18,18,12,54,54,36,168,168,8,24,36,72,72,144,12,12,24,24,64,
128,1,2,42,48,56,84,112,168,3,9,54,42,54,42,24,56,56,168,168,168,36,36,36,36,
72,72,72,72,144,27,21,56,18,18,72,6,24,24,24,48,72,72,144,72,72,72,12,12,24,
12,12,24,24,24,24,48,48,24,24,24,24,48,48,24,24,24,48,6,6,12,12,48,6,6,6,6,12,
12,12,12,48,48,16,128,96,96,64,14,14,42,42,168,168,3,9,21,84,84,4,12,24,36,36,
72,72,18,18,36,72,72,7,9,2,18,72,72,3,6,6,12,24,24,3,12,12,12,12,6,6,12,6,12,
12,12,12,6,12,6,6,12,12,12,12,12,12,12,12,12,24,24,6,12,6,12,12,12,12,48,48,
12,12,12,12,24,24,24,24,24,24,48,48,48,48,6,6,12,12,6,6,12,6,6,6,12,12,12,12,
12,48,48,12,12,48,48,6,12,12,48,48,16,32,32,32,32,32,64,6,6,6,6,12,12,24,24,
48,12,3,3,3,3,12,12,12,24,12,12,7,9,12,36,14,42,6,2,6,6,12,12,12,12,12,2,4,4,
12,12,12,12,12,12,24,24,6,6,6,6,12,12,6,6,6,6,12,12,12,12,12,12,6,6,6,6,12,6,
6,12,12,12,12,6,12,12,12,12,12,12,24,24,12,6,12,3,6,24,16,48,12,8,16,32,32,1,
1,6,6,6,6,12,12,12,12,6,6,6,12,12,12,12,6,3,6,6,3,3,6,6,4,8,16,16,8,8,1,2,3,3,
6,1,4,1,1,2,1],[1,15,6,18,16,64,35,3,9,36,36,12,12,24,4,12,24,12,12,24,12,24,
24,24,48,48,64,15,9,9,24,6,6,24,4,12,4,4,8,12,12,24,12,12,12,12,36,24,48,12,
12,12,24,12,12,24,48,48,24,24,12,6,6,24,18,24,24,24,24,12,24,80,16,48,64,1,3,
3,1,3,12,12,3,3,6,6,6,12,12,6,12,3,3,6,6,12,3,6,12,6,6,12,12,12,12,24,24,24,
24,3,6,6,12,12,6,12,9,12,18,18,6,12,12,12,3,6,6,24,24,12,12,12,12,12,16,16,32,
16,3,3,6,1,3,4,6,3,3,3,6,6,1,3,6,6,6,12,12,3,3,6,6,2,6,6,3,6,6,6,9,3,3,6,6,12,
6,6,6,6,6,12,12,12,12,12,6,6,6,6,12,12,4,4,12,16,16,16,1,3,6,3,3,3,3,6,3,6,6,
3,3,3,3,6,6,6,6,6,6,6,6,6,6,4,4,4,8,1,3,3,3,3,3,3,1,4,4,4,3,1,1],[1,15,6,18,
64,64,35,3,9,36,36,36,36,72,4,12,96,12,12,24,96,12,96,48,128,64,15,9,9,24,18,
18,72,24,24,16,24,12,4,4,8,12,12,24,12,12,12,12,36,72,72,192,12,12,12,24,48,
48,48,48,48,18,18,72,18,72,24,24,24,24,12,24,24,80,16,48,64,1,3,6,9,1,3,12,12,
3,9,18,18,6,12,6,3,3,3,6,36,3,6,6,12,24,48,18,36,9,12,24,18,18,18,18,36,36,72,
48,3,6,6,24,24,24,24,24,24,24,72,24,12,12,72,72,12,12,12,24,24,24,24,96,32,32,
16,16,32,16,3,9,18,6,12,1,3,16,18,3,3,3,6,6,12,24,12,1,3,9,3,6,6,12,12,36,2,6,
3,18,18,6,9,3,18,3,6,6,36,6,6,6,6,6,36,6,12,6,12,6,6,12,12,12,12,12,12,24,4,4,
12,16,16,16,1,3,6,3,3,9,9,3,6,12,6,6,6,6,12,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,8,8,4,4,4,8,8,3,1,3,3,3,3,3,6,6,6,6,1,4,4,4,3,1,2,1],[1,3,26,66,24,16,1,7,
15,60,48,12,12,6,12,28,24,30,12,32,120,144,12,48,48,4,24,24,48,48,16,48,32,48,
32,8,12,24,12,36,48,60,7,3,8,6,18,12,12,16,8,12,24,48,60,60,12,12,24,3,6,12,6,
24,4,12,12,12,12,48,24,24,48,12,24,24,12,24,48,48,96,96,12,12,24,24,48,24,6,
24,12,24,48,24,24,6,12,6,24,12,12,24,24,24,24,24,8,12,24,24,8,4,16,16,48,48,
32,32,16,16,16,1,3,6,3,24,36,1,2,3,12,6,6,3,6,6,1,6,6,6,6,6,6,6,12,6,3,2,9,3,
12,12,6,6,6,6,12,6,6,6,6,6,6,12,18,12,24,24,24,12,3,9,12,12,12,6,6,12,6,6,24,
12,6,24,24,24,48,24,48,24,24,24,24,24,24,3,6,6,12,12,24,24,6,6,12,6,6,12,6,24,
6,12,24,24,24,24,24,12,12,12,12,12,24,24,24,24,4,8,4,8,16,8,8,4,8,8,16,8,16,
16,8,16,16,16,16,16,1,6,6,6,6,12,3,6,6,3,6,6,6,6,3,3,12,9,3,6,12,12,12,24,6,6,
6,6,6,3,3,6,6,6,12,3,6,3,6,6,6,4,12,6,6,6,6,3,6,6,6,6,6,6,12,12,9,3,6,18,3,6,
6,6,6,6,6,6,6,12,12,6,6,6,6,6,12,6,6,6,6,6,6,6,6,12,12,12,6,6,6,6,12,12,12,12,
12,12,24,4,8,4,4,4,8,4,8,16,8,8,16,8,8,4,4,8,8,8,16,3,3,6,6,1,3,6,3,6,3,3,6,4,
6,6,6,6,4,3,6,3,3,6,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,1,4,8,4,4,4,4,4,4,
8,1,3,3,3,3,3,3,6,6,6,6,1,1,1,1,1,1,1,4,3,1,1,1,1,1,1,1,1],[1,15,14,42,48,16,
35,7,21,84,84,36,36,72,12,36,72,36,36,72,32,28,72,48,16,48,32,48,32,15,21,21,
56,18,18,72,8,8,12,8,36,12,12,24,36,36,72,36,36,36,28,84,72,24,144,36,36,36,
72,48,48,48,48,36,18,18,72,42,24,24,24,24,72,36,8,24,4,8,16,16,48,48,32,32,16,
16,16,1,7,2,9,3,9,36,36,7,9,18,6,18,12,2,9,9,9,18,36,9,18,18,12,24,36,18,36,
27,12,24,42,42,6,18,36,36,24,36,9,18,18,72,72,24,24,24,24,24,24,24,36,36,24,
24,12,12,12,24,24,24,24,4,12,8,8,8,8,8,12,8,8,8,8,16,16,8,16,16,16,16,16,7,9,
6,18,12,3,9,12,18,9,9,9,18,18,12,24,12,3,9,9,9,18,6,12,4,12,6,18,9,18,18,18,
27,9,6,9,6,6,36,18,18,18,18,18,12,6,12,6,12,6,18,12,12,12,12,12,12,24,4,4,8,
12,12,8,8,8,8,8,8,8,4,8,4,4,8,8,8,16,3,9,6,1,9,9,3,3,6,4,6,6,6,6,4,9,3,9,9,6,
6,6,18,6,6,6,18,6,6,6,6,6,6,1,4,4,8,4,4,4,4,4,8,1,3,3,3,3,3,3,6,6,6,6,1,1,1,1,
1,1,1,4,3,1,1,1,1,1,1,1,1],[1,15,26,78,24,16,35,13,39,156,156,12,12,24,14,14,
12,42,42,36,48,168,168,36,48,48,96,52,36,24,24,48,16,48,32,48,32,15,2,42,48,
56,84,112,168,3,9,12,42,42,42,42,24,24,56,56,168,168,168,12,12,12,12,24,24,24,
24,48,39,39,104,6,6,24,6,48,48,48,52,156,24,36,36,24,24,24,24,48,48,24,24,24,
24,48,48,48,48,96,72,48,48,48,96,18,18,36,12,12,24,48,48,18,6,6,24,78,12,12,
12,12,48,96,24,4,8,8,16,16,48,48,32,32,16,16,16,1,14,14,42,42,168,168,3,3,7,
21,84,84,6,6,12,24,24,13,3,12,13,3,6,6,6,12,24,24,9,9,12,12,12,12,24,6,12,24,
12,6,6,12,12,12,42,42,12,12,12,12,48,48,12,24,24,6,6,12,24,24,12,12,12,12,24,
24,18,6,12,12,12,12,12,24,24,48,48,48,48,12,12,12,12,24,24,24,24,24,24,48,48,
48,48,78,78,6,12,12,6,6,12,24,24,18,18,18,36,36,36,12,12,12,12,48,48,12,12,48,
48,18,12,24,24,96,96,72,72,4,12,8,8,16,8,8,8,12,8,8,8,8,8,16,16,16,16,16,16,
16,16,6,6,6,6,12,12,24,24,48,12,12,13,3,3,6,9,9,3,12,12,12,24,12,24,7,3,14,42,
14,42,6,6,6,6,12,12,12,12,12,6,6,6,6,6,12,12,24,24,48,6,6,6,6,12,12,12,12,24,
12,12,12,12,6,12,24,12,21,6,6,6,6,12,24,12,12,12,6,12,12,12,12,12,12,12,3,3,6,
12,36,6,6,6,12,6,6,12,18,12,24,24,12,12,24,12,12,12,12,24,12,12,12,12,12,1,4,
4,8,8,12,12,8,8,8,8,8,8,8,8,8,4,4,8,4,16,1,7,3,6,6,6,12,6,6,6,12,12,12,12,7,3,
12,6,3,3,3,3,6,6,6,6,6,3,6,3,6,12,12,12,12,6,6,6,6,12,12,12,12,1,1,2,2,1,2,4,
4,8,2,4,4,4,8,4,4,1,3,3,3,3,3,3,6,6,6,6,1,1,1,1,2,2,1,1,1,2,2,4,3,1,1,1,1,1,1,
1,1],[1,3,38,54,48,16,1,13,9,36,72,48,48,72,24,6,36,54,36,36,144,72,8,24,48,
72,120,192,48,4,12,72,48,48,16,48,32,48,32,3,8,27,48,18,24,72,9,9,36,18,18,24,
36,72,36,36,36,48,36,48,72,96,72,72,144,9,12,24,18,72,12,12,6,12,24,24,24,48,
72,72,144,96,72,72,4,12,12,48,60,48,60,72,96,24,96,36,72,72,36,72,96,24,12,24,
24,48,48,48,48,6,24,36,72,36,12,6,30,18,30,18,48,96,12,24,24,24,24,24,8,12,16,
16,48,48,32,32,16,16,16,1,9,9,18,36,3,3,18,4,12,24,36,36,72,72,24,18,36,72,72,
3,9,2,18,72,72,3,1,9,15,12,24,36,36,3,9,6,18,12,6,6,6,6,6,6,12,6,6,6,6,12,12,
6,12,6,6,12,12,12,12,12,24,24,24,24,12,24,6,6,6,6,12,6,6,18,18,18,18,36,24,36,
24,12,24,6,18,24,36,18,72,72,30,30,18,18,36,36,36,36,36,60,48,48,96,72,96,72,
6,6,12,6,6,24,18,30,24,6,24,72,72,6,12,12,36,36,24,24,24,24,24,24,24,12,24,72,
72,12,12,24,8,16,12,24,8,24,16,16,16,16,16,16,16,1,9,9,12,15,9,18,24,36,36,72,
18,3,3,9,18,6,12,9,12,36,3,6,6,6,6,6,12,6,6,12,12,12,12,24,24,6,6,8,18,18,18,
18,18,18,36,36,24,6,6,6,6,6,6,12,6,6,12,24,12,6,6,3,3,3,6,6,12,12,3,6,6,6,6,
18,18,12,36,36,6,12,9,12,36,6,6,6,6,6,6,6,6,6,18,6,12,12,6,6,6,6,6,6,6,6,6,6,
6,6,12,6,6,6,12,12,12,12,24,12,12,6,6,1,8,12,4,4,12,12,24,24,8,8,8,4,8,4,16,1,
3,6,6,3,4,18,18,18,18,6,6,3,4,3,6,6,6,3,3,3,3,6,6,6,6,6,9,9,12,12,12,12,6,6,6,
6,6,6,6,6,6,6,6,6,1,3,2,3,12,4,2,4,4,4,4,8,4,1,3,3,3,3,3,3,6,6,6,6,1,1,3,3,1,
1,1,2,2,4,3,1,1,1,1,1,1,1,1],[1,15,26,78,24,16,35,13,39,156,156,12,12,24,6,6,
28,18,18,84,112,72,72,36,48,48,96,52,36,24,24,48,16,48,32,48,32,15,8,56,7,21,
28,18,18,18,18,56,56,24,24,72,72,72,12,12,12,12,24,24,24,24,48,39,39,104,6,6,
24,6,48,48,48,52,156,24,84,84,48,48,96,24,24,24,24,48,48,48,48,96,72,48,48,48,
96,42,42,84,12,12,24,48,48,18,6,6,24,78,24,24,48,96,56,4,4,4,16,16,48,48,32,
32,16,16,16,1,1,7,7,7,3,9,36,36,6,6,12,24,24,13,3,12,13,3,6,7,21,28,6,6,12,21,
21,12,12,12,12,24,14,42,14,12,12,24,12,24,12,12,12,12,12,6,6,12,12,12,18,18,
12,12,24,12,12,24,12,24,24,6,6,12,12,12,12,12,24,24,18,6,12,42,42,84,12,12,12,
12,24,24,48,48,48,48,24,24,24,24,48,48,78,78,6,12,12,6,6,12,24,24,42,42,42,84,
84,84,12,12,24,12,12,48,48,18,12,24,24,96,96,56,168,168,168,4,12,4,4,4,4,8,8,
8,8,8,12,4,4,8,8,8,8,8,16,16,8,16,16,16,16,16,7,21,28,6,6,12,12,12,13,3,3,6,
21,21,3,12,12,24,12,24,3,3,6,18,6,6,6,6,12,6,6,12,12,12,6,6,6,12,6,6,6,6,12,
12,12,12,24,12,12,24,6,12,24,12,12,12,9,6,6,6,6,12,3,3,6,6,6,12,12,12,3,3,28,
84,84,84,6,6,6,6,6,12,6,6,12,12,12,6,6,6,6,12,12,12,12,42,42,42,84,56,12,24,
24,12,12,24,12,12,24,12,12,12,12,24,12,12,24,12,12,24,12,12,24,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,4,4,4,4,4,4,12,12,8,8,4,4,4,4,4,4,8,8,8,8,
8,8,8,8,4,4,4,4,4,4,4,8,8,8,16,3,3,6,3,3,6,6,6,7,7,21,3,3,3,3,3,6,3,3,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,3,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,28,6,
6,6,6,6,6,12,12,12,24,12,12,12,24,12,12,12,12,12,1,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,8,1,6,6,6,6,3,3,3,3,3,3,6,6,6,6,12,12,1,1,1,1,1,1,1,4,4,4,3,1,
1,1,1,1,1,1,1],[1,15,14,42,35,7,21,84,84,14,14,42,42,168,168,28,64,15,2,42,48,
56,84,112,168,42,42,42,42,56,56,168,168,168,21,21,56,28,84,42,64,1,14,14,42,
42,168,168,7,21,84,84,7,7,42,42,42,42,7,7,14,42,14,42,21,8,16,48,1,7,7,8,1,1,
1],[1,15,14,42,35,7,21,84,84,28,84,112,28,64,15,8,56,7,21,28,56,56,21,21,56,
28,84,84,84,42,42,84,42,56,64,1,1,7,7,7,7,7,7,21,28,21,21,14,42,14,42,42,84,
42,42,42,42,42,84,84,84,56,168,168,168,7,21,28,7,21,21,28,84,84,84,42,42,42,
84,56,8,8,7,7,21,28,8,8,1,1],[1,15,60,160,35,20,60,90,90,96,160,15,15,60,180,
45,60,96,200,80,240,1,5,15,15,45,45,45,120,15,15,45,10,20,60,16,48,5,6,10,6,5,
1],[1,15,60,40,35,90,40,90,96,80,120,15,15,10,30,180,45,30,10,96,10,40,40,40,
40,1,45,45,30,30,20,30,40,40,40,15,5,15,10,10,10,16,5,6,5,10,6,5,1],[1,15,20,
16,35,30,30,120,16,80,15,5,60,15,60,60,16,20,80,16,1,15,30,15,30,48,20,16,5,
15,15,1,20,16,15,1,5,1,5,1,3,1,1],[1,15,34,102,40,35,17,51,204,204,44,44,88,
18,18,36,54,54,108,144,216,216,8,24,60,104,104,208,32,68,60,56,56,112,32,15,2,
8,42,48,56,56,84,112,168,9,27,36,54,54,54,54,72,72,72,72,216,216,216,44,44,44,
44,88,88,88,88,176,51,51,136,22,22,88,8,8,10,8,24,24,24,48,72,72,144,104,104,
104,68,204,88,108,108,40,40,40,40,80,80,80,80,160,56,56,56,56,112,112,112,112,
224,24,120,104,104,104,208,32,32,32,32,54,54,108,28,28,56,112,112,24,24,30,22,
22,88,102,20,20,20,20,40,40,80,80,24,16,16,16,208,24,8,16,16,72,16,1,1,7,14,
14,42,42,168,168,9,9,9,27,108,108,4,12,24,36,36,72,72,22,22,44,88,88,17,2,11,
2,26,72,72,17,11,22,6,7,21,28,10,10,10,10,20,20,40,40,27,27,6,6,44,44,28,28,
52,8,14,42,4,4,2,18,6,6,6,6,12,20,20,40,26,52,44,20,20,20,20,12,12,14,14,28,
28,28,54,54,20,20,40,12,20,20,20,20,20,20,40,80,80,8,8,8,8,16,16,16,16,26,52,
52,8,16,10,10,10,10,20,20,40,40,28,28,28,28,56,56,12,12,12,12,24,24,24,24,24,
24,48,48,30,22,44,18,8,16,42,42,84,28,28,28,28,56,56,112,112,112,112,20,20,20,
20,40,40,40,40,40,40,40,40,40,40,80,80,80,80,80,80,102,102,6,22,44,44,24,22,
22,44,88,88,54,54,54,108,108,108,20,20,20,20,20,20,40,80,80,44,44,24,24,24,24,
176,176,30,26,52,52,208,208,16,16,16,16,16,24,16,56,168,48,48,48,48,216,216,
72,72,24,24,8,8,8,16,16,16,16,7,21,28,10,10,10,10,10,10,20,20,20,40,40,80,28,
28,17,11,6,11,22,27,27,11,6,6,20,44,44,88,44,52,8,9,11,12,36,14,42,6,18,54,22,
22,10,10,20,22,22,20,20,20,20,20,20,44,12,12,12,8,8,8,8,16,16,6,10,4,4,8,12,
12,12,12,12,12,24,24,24,24,24,48,10,10,10,10,10,10,20,20,20,40,40,80,14,14,14,
14,28,28,28,28,56,20,20,40,20,20,20,20,22,18,26,18,36,52,8,16,8,6,26,6,6,20,
20,27,22,6,6,6,22,14,14,4,4,20,40,44,8,8,5,5,10,20,20,10,10,20,10,20,20,20,20,
20,12,12,12,12,24,24,24,28,28,11,18,36,4,8,11,10,12,36,36,108,4,8,8,24,24,84,
84,12,12,36,12,12,12,12,22,6,18,10,10,12,12,10,10,20,22,22,44,20,20,12,22,22,
10,10,20,12,12,12,12,12,12,12,12,36,18,18,6,6,44,20,20,12,12,12,12,6,54,18,42,
42,84,12,12,56,4,4,4,4,44,52,36,52,12,12,12,12,20,20,40,12,12,20,20,40,20,20,
20,20,40,12,12,12,44,12,12,44,36,52,20,20,40,12,12,12,12,20,20,40,12,12,44,12,
12,44,12,20,20,20,20,28,28,40,8,28,28,28,28,12,12,12,12,24,24,24,20,20,8,8,8,
8,8,8,8,8,16,16,8,8,8,8,24,12,4,8,4,8,4,44,12,36,12,12,12,12,20,20,8,8,8,8,8,
8,24,8,8,8,16,1,1,2,2,2,4,6,9,11,18,10,18,22,6,4,4,5,5,10,4,12,12,12,12,12,10,
20,10,14,14,20,20,20,20,18,4,7,3,3,6,5,4,12,20,10,2,4,4,4,3,9,1,7,21,2,2,2,4,
6,6,18,6,6,12,11,9,3,5,5,6,6,5,5,10,6,6,6,6,12,11,11,18,6,10,10,22,3,3,3,6,10,
10,10,10,10,10,10,14,14,6,6,12,4,4,4,4,4,4,4,4,3,10,10,10,14,2,2,4,5,6,10,9,
11,10,4,4,12,12,12,12,12,20,20,20,20,20,20,28,28,28,28,8,8,8,8,8,8,8,8,12,20,
20,4,4,4,4,4,12,20,20,4,12,20,20,28,6,6,6,6,10,6,4,4,12,4,4,10,6,4,22,18,6,10,
10,12,12,18,36,6,6,12,12,12,12,12,18,2,2,22,6,18,10,10,12,12,26,6,6,20,20,40,
12,18,12,12,44,2,6,4,4,4,4,4,4,4,4,12,12,12,12,20,20,40,12,12,12,12,44,36,12,
12,44,36,4,4,4,4,4,4,4,4,4,4,4,4,36,12,12,12,12,12,12,36,4,4,4,8,4,20,20,20,4,
4,4,4,8,4,4,4,4,4,4,4,4,8,8,1,1,1,3,5,2,3,2,5,1,1,3,10,10,10,3,10,2,2,6,6,6,6,
6,12,18,3,3,6,3,3,6,6,6,6,6,3,3,3,5,2,2,1,3,5,5,5,1,3,3,6,5,5,6,2,2,2,2,6,2,
11,3,9,5,5,6,6,3,6,6,10,6,6,6,4,4,2,6,6,6,6,10,6,12,4,4,4,4,10,6,4,14,10,10,
10,6,4,4,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,6,6,6,12,18,4,4,4,4,20,20,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,3,3,5,3,3,2,2,1,3,3,3,3,3,3,3,1,3,1,
2,2,1,1,1,1,1,1,1,1,5,2,2,2,2,2,2,2,2,6,6,6,6,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1],[1,3,18,18,96,32,80,1,9,9,36,72,72,72,6,6,12,18,18,36,8,24,72,72,72,144,
144,36,36,36,144,192,288,48,96,3,9,18,18,24,36,36,36,36,72,72,72,72,144,9,36,
18,72,36,36,6,36,24,24,24,48,72,72,144,72,72,72,36,36,36,36,36,72,72,72,36,
144,144,144,144,18,18,36,36,18,36,72,72,72,64,16,8,128,8,8,24,12,96,96,16,32,
48,96,48,96,3,3,4,12,24,36,36,72,72,18,18,36,72,72,9,9,2,18,72,72,9,9,9,36,18,
18,18,18,18,18,36,36,36,36,72,72,72,72,36,72,36,72,18,18,36,18,18,18,18,36,36,
36,36,72,72,72,72,72,36,72,64,48,48,24,48,48,48,192,48,48,12,24,24,24,48,24,
24,48,96,9,9,9,36,9,12,36,6,18,18,18,18,36,36,36,36,72,72,36,72,36,9,9,9,18,
18,36,36,18,36,16,32,1,16,48,12,2,8,8,8,8,24,12,12,24,24,24,24,12,24,24,24,24,
1,9,18,18,18,9,18,18,18,16,32,6,24,24,12,12,24,3,6,12,24,24,24,24,9,4,8,1,1,2,
3,6,3,6,4,8,3,3,6,1,1],[1,3,30,54,24,32,80,1,9,9,36,72,36,36,72,24,6,12,54,36,
36,144,72,8,24,36,72,72,144,36,36,16,48,48,96,192,3,27,48,18,24,72,3,9,36,18,
18,24,36,72,36,36,36,36,36,36,72,72,72,72,144,9,12,18,18,72,6,24,24,24,48,72,
72,144,72,72,72,36,36,36,36,72,72,36,36,36,36,72,72,18,18,72,18,18,18,18,72,
64,16,8,128,8,8,24,12,96,96,16,32,48,48,9,9,18,36,3,3,18,4,12,24,36,36,72,72,
18,18,36,72,72,9,2,18,72,72,9,9,18,36,36,18,18,18,18,18,36,36,18,18,18,18,72,
72,18,18,18,18,36,36,36,36,36,36,72,72,72,72,18,18,18,18,72,72,64,12,12,24,12,
24,24,24,48,48,48,48,96,24,24,16,9,9,9,9,18,18,36,36,72,18,18,9,12,36,3,6,6,6,
18,18,18,18,18,18,36,36,18,18,36,36,9,16,32,1,16,48,12,2,8,8,8,8,24,12,12,12,
24,24,1,18,18,18,18,9,9,16,1,3,3,6,12,12,24,24,3,4,8,1,1,2,3,3,4,3,1,1,1],[1,
3,42,18,24,32,80,1,21,9,36,36,36,72,6,6,84,18,18,36,8,24,36,72,72,144,12,72,
64,48,96,96,24,21,9,18,18,24,36,36,36,36,72,72,72,72,144,9,18,18,72,6,24,24,
24,48,72,72,144,72,72,72,12,36,144,72,72,18,36,72,64,16,8,128,8,8,24,12,96,96,
16,32,48,48,3,3,3,4,12,24,36,36,72,72,18,18,36,72,72,9,2,18,72,72,3,18,18,36,
18,36,72,72,18,36,72,72,18,36,64,16,96,12,24,24,24,48,24,24,24,48,3,18,9,12,
36,6,18,24,72,18,36,9,18,36,16,32,1,16,48,12,2,8,8,8,8,24,12,12,12,1,9,12,9,
12,16,16,12,3,6,6,12,3,4,8,1,1,2,3,3,4,1,3,1,1],[1,15,12,36,60,32,8,35,6,18,
72,72,90,36,36,72,72,24,90,72,8,24,128,48,24,96,48,15,18,18,48,15,18,36,36,36,
24,72,54,180,36,36,36,72,72,72,45,36,54,36,72,18,36,16,2,40,8,24,24,24,48,48,
24,96,24,24,1,6,9,6,18,9,18,9,18,18,36,45,18,36,36,45,9,18,18,72,72,36,54,54,
18,36,36,16,32,32,2,6,12,96,6,12,24,8,24,24,24,24,24,24,6,18,15,9,18,18,9,9,9,
18,18,18,27,18,9,18,18,8,16,16,16,2,2,6,6,6,12,12,6,24,6,6,24,9,9,9,9,9,9,9,8,
8,8,16,8,2,6,6,6,6,6,6,6,9,1,8,6,6,1,2,2,1,1,1,1],[1,15,84,80,32,35,4,12,126,
72,126,72,288,192,96,48,15,21,18,12,54,252,72,72,63,54,36,12,18,36,64,8,4,16,
100,16,48,32,16,96,48,96,48,1,1,3,3,63,9,18,36,63,54,36,54,18,36,36,64,48,216,
24,48,48,48,24,12,12,12,96,48,3,21,18,9,9,9,27,9,18,18,18,32,16,5,4,1,8,4,4,
12,24,12,12,24,12,12,12,12,12,1,9,9,9,9,9,9,32,16,18,12,6,3,3,24,12,12,12,12,
9,4,4,1,1,1,1,3,3,3,3,4,4,3,3,3,3,1,1],[1,7,84,112,7,28,84,126,56,42,168,224,
112,64,1,21,14,84,42,84,168,168,21,42,84,14,28,112,56,112,7,21,42,84,21,42,84,
42,64,56,56,56,112,28,56,56,7,42,7,21,42,7,28,56,8,21,14,7,7,16,8,7,7,1],[1,
49,42,112,63,49,21,14,126,28,126,84,112,112,112,64,7,1,63,7,42,126,42,126,84,
84,21,63,21,42,14,56,84,28,28,112,7,21,42,63,21,63,21,21,42,42,64,28,84,28,28,
28,28,56,28,28,28,56,21,21,7,7,21,21,21,7,28,28,28,8,21,7,7,7,7,8,8,8,7,7,1],[
1,7,42,42,112,21,42,7,14,21,28,14,42,84,28,42,84,84,112,112,112,64,1,7,21,42,
7,42,42,42,84,42,84,84,84,21,21,21,42,42,14,56,28,56,28,28,112,7,21,42,21,21,
42,21,21,42,21,42,42,64,28,28,28,56,28,28,28,56,28,28,28,56,21,7,21,7,21,21,
21,7,28,28,28,8,21,7,7,7,7,8,8,8,7,7,1],[1,49,42,112,63,21,49,14,126,28,126,
84,112,112,112,64,1,7,63,7,42,42,126,126,84,84,21,21,63,42,14,56,28,84,28,112,
7,21,42,21,63,21,63,21,42,42,64,28,28,84,28,28,28,56,28,28,28,56,21,7,21,7,21,
21,21,7,28,28,28,8,21,7,7,7,7,8,8,8,7,7,1],[1,7,42,42,112,7,21,21,84,14,14,28,
42,42,28,42,84,84,112,112,112,64,1,7,7,42,42,21,42,42,42,84,84,84,84,21,21,42,
42,21,14,28,28,28,56,56,112,7,21,21,21,42,42,42,42,21,21,21,42,64,28,28,28,28,
28,28,56,56,28,28,28,56,7,21,21,7,21,21,21,7,28,28,28,8,21,7,7,7,7,8,8,8,7,7,
1],[1,7,14,42,112,7,7,21,84,84,14,14,42,42,168,168,112,224,64,1,2,42,48,56,84,
112,168,42,42,42,42,56,56,168,168,168,21,21,56,28,56,56,112,14,14,42,42,168,
168,7,21,84,84,7,64,28,56,56,56,56,56,112,7,14,42,7,28,56,56,8,16,48,1,7,14,8,
16,7,1,1],[1,15,42,126,24,64,35,21,63,252,252,36,36,72,42,42,12,126,126,36,48,
504,504,8,24,36,72,72,144,84,36,72,72,144,64,192,192,15,6,126,144,168,252,336,
504,3,9,12,126,126,126,126,24,24,168,168,504,504,504,36,36,36,36,72,72,72,72,
144,63,63,168,18,18,72,6,24,24,24,48,72,72,144,72,72,72,84,252,72,36,36,72,72,
72,72,144,144,72,72,72,72,144,144,144,144,288,72,72,72,72,144,18,18,36,36,36,
72,144,144,18,18,18,72,126,36,36,36,36,144,144,24,24,16,32,48,48,64,192,192,1,
42,42,126,126,504,504,3,3,21,63,252,252,4,12,24,36,36,72,72,18,18,36,72,72,21,
9,2,18,72,72,21,9,18,18,18,36,72,72,9,9,36,36,36,36,36,6,6,6,18,36,36,18,18,
36,36,36,126,126,36,36,36,36,144,144,18,36,36,18,18,36,72,72,36,36,36,36,72,
72,36,36,36,36,72,72,18,18,36,18,36,36,36,36,72,72,144,144,144,144,36,36,36,
36,72,72,72,72,72,72,144,144,144,144,126,126,18,36,36,18,18,36,72,72,18,18,18,
36,36,36,36,36,36,36,144,144,36,36,144,144,18,18,36,36,144,144,72,72,72,72,16,
48,48,48,48,48,96,96,48,48,48,96,96,96,64,96,96,18,18,18,18,36,36,72,72,144,
36,36,21,9,9,18,9,9,9,36,36,36,72,36,36,21,9,12,36,42,126,6,42,126,18,18,18,
18,36,36,36,36,36,6,6,12,12,36,36,36,36,36,36,72,72,18,18,18,18,36,36,72,72,
144,18,18,18,18,36,36,36,36,72,36,36,36,36,18,18,18,18,36,36,6,18,63,18,18,18,
18,36,72,36,36,36,18,36,36,36,36,36,36,36,72,72,36,36,9,18,36,9,18,12,36,12,
36,12,36,18,18,18,18,36,18,18,36,18,18,36,18,18,36,36,36,36,36,36,36,36,36,36,
36,36,72,36,36,36,36,36,36,72,72,72,36,36,72,4,16,32,48,48,48,48,48,48,48,48,
96,96,96,96,96,96,3,1,2,6,21,9,18,18,18,18,36,36,36,36,18,36,18,18,18,36,36,
36,36,18,21,9,36,18,3,3,6,6,18,9,9,9,9,18,18,18,18,18,18,36,18,18,9,18,18,9,9,
18,36,36,36,36,36,36,36,36,18,36,18,18,18,18,36,18,18,18,18,18,36,18,36,36,36,
36,36,36,4,12,12,12,12,16,48,48,3,9,3,6,9,6,18,9,9,9,9,18,9,9,9,18,18,18,18,
36,18,18,18,18,4,8,24,12,12,12,12,12,12,12,12,24,1,3,3,9,9,9,9,4,12,12,3,1,
1],[1,7,50,78,72,64,7,25,39,84,156,108,108,216,26,26,52,78,78,108,16,168,168,
24,72,108,216,216,432,32,36,36,120,72,48,96,64,64,128,64,128,1,2,8,42,48,56,8,
84,112,168,13,27,4,78,42,78,42,72,56,56,168,168,168,108,108,108,108,216,216,
216,216,432,39,21,56,54,54,216,8,8,18,8,72,72,72,144,216,216,432,216,216,216,
36,36,72,60,36,72,72,72,72,144,144,48,144,96,72,120,120,72,144,48,48,144,24,
72,72,72,144,96,96,96,96,30,18,12,36,60,24,144,24,24,18,18,18,18,36,36,36,36,
72,24,144,48,24,48,48,48,144,8,16,16,8,16,16,16,32,32,32,64,64,128,128,64,1,1,
14,14,42,42,168,168,9,13,21,84,84,12,36,72,108,108,216,216,54,54,108,216,216,
7,2,27,6,54,216,216,9,6,3,3,6,18,18,18,36,12,72,72,9,6,6,36,36,36,36,24,2,4,4,
2,6,6,12,12,12,12,12,12,12,18,30,12,36,18,12,36,24,12,12,36,36,36,36,12,24,24,
24,24,48,48,48,48,18,36,24,48,6,18,18,18,36,12,60,36,36,36,24,36,36,36,36,24,
72,24,72,72,72,48,48,18,36,18,24,48,18,12,36,36,60,36,24,144,144,36,36,36,36,
24,24,72,72,72,72,72,72,72,72,144,144,144,144,48,48,18,6,18,36,36,24,18,18,36,
18,18,30,12,36,36,36,36,36,12,36,24,144,144,36,36,24,24,24,24,144,144,18,36,
36,144,144,48,48,48,48,48,24,48,24,48,48,48,48,24,24,24,16,16,32,32,16,16,16,
16,32,32,32,32,32,32,32,32,32,16,16,16,32,32,32,32,32,32,32,32,32,64,32,64,32,
32,64,64,3,3,18,18,18,6,18,18,36,36,12,72,72,144,36,9,6,9,9,9,6,6,36,36,36,72,
36,36,24,7,27,36,108,14,42,18,6,18,18,6,12,18,36,36,12,36,36,36,12,12,12,24,
24,24,24,48,48,6,12,12,24,36,36,36,36,36,36,24,72,72,72,24,48,18,18,6,18,6,18,
36,36,18,30,18,18,36,36,12,12,36,24,36,36,36,36,18,18,18,18,36,24,48,24,6,6,
12,18,6,6,6,18,12,12,36,36,24,24,3,9,6,36,36,6,18,12,18,36,36,36,36,36,36,12,
36,72,72,24,36,18,36,12,24,9,18,4,4,8,8,24,24,12,12,12,12,12,12,6,6,12,12,6,6,
12,12,6,6,12,12,12,12,12,12,12,12,6,6,12,12,12,12,12,6,6,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,24,12,12,24,12,24,24,24,24,24,24,24,24,48,48,24,24,24,24,12,24,12,24,12,
12,12,12,12,12,72,4,16,32,16,16,32,32,16,32,32,32,32,32,32,32,16,16,32,16,16,
32,32,32,32,32,32,32,32,32,16,32,32,32,64,64,1,3,2,2,4,18,18,18,18,6,12,12,9,
3,6,12,36,36,36,36,12,18,18,18,36,36,36,36,18,12,9,3,6,12,12,6,12,12,12,1,1,2,
2,2,4,6,6,12,3,3,6,6,3,3,6,6,6,6,12,6,6,6,6,6,6,12,12,12,12,12,12,12,12,6,6,
12,9,18,18,9,9,18,12,12,12,24,24,24,24,24,24,24,24,12,12,12,12,12,6,6,12,12,
12,12,12,6,6,12,12,6,6,12,12,12,12,12,6,6,12,12,6,6,12,12,12,12,12,18,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,4,4,8,4,4,8,8,4,8,16,32,16,16,
32,3,3,6,3,6,9,6,6,12,3,6,6,3,3,3,6,6,6,6,6,3,3,6,6,9,18,6,12,12,6,6,6,12,12,
12,12,12,6,12,12,6,6,12,4,8,8,16,4,4,8,8,4,8,8,8,8,4,4,4,4,8,8,4,8,16,1,3,3,3,
6,6,3,3,3,6,6,4,4,8,8,4,3,1,1],[1,15,42,126,24,64,35,21,63,252,252,36,36,72,6,
6,84,18,18,252,336,72,72,8,24,36,72,72,144,84,36,72,72,144,64,192,192,15,24,
168,21,63,84,18,18,18,18,168,168,24,24,72,72,72,36,36,36,36,72,72,72,72,144,
63,63,168,18,18,72,6,24,24,24,48,72,72,144,72,72,72,84,252,72,252,252,144,144,
288,72,72,72,72,144,144,144,144,288,72,72,72,72,144,126,126,252,36,36,72,144,
144,18,18,18,72,126,72,72,144,144,24,168,16,128,96,96,64,192,192,1,3,21,21,21,
3,9,36,36,4,12,24,36,36,72,72,18,18,36,72,72,21,9,2,18,72,72,21,9,18,21,63,84,
18,18,36,63,63,36,36,36,36,36,42,126,42,6,6,36,36,72,18,36,36,36,36,36,36,18,
18,36,36,36,18,18,36,36,72,36,36,72,18,36,36,18,18,36,36,36,36,36,72,72,72,72,
72,72,144,144,18,18,36,18,126,126,252,36,36,36,36,72,72,144,144,144,144,72,72,
72,72,144,144,126,126,18,36,36,18,18,36,72,72,126,126,126,252,252,252,36,36,
72,36,36,144,144,18,18,36,36,144,144,168,504,504,504,72,72,16,48,96,96,192,48,
96,96,64,21,63,84,18,18,36,36,36,21,9,9,18,63,63,9,36,36,72,36,36,3,9,12,36,6,
6,18,18,18,18,18,36,18,18,36,36,36,6,6,24,72,72,72,144,18,18,36,18,18,18,18,
36,36,36,36,72,36,36,72,18,18,18,18,36,36,6,18,36,36,9,18,18,18,18,36,9,9,18,
18,18,36,36,36,72,36,36,9,18,36,9,12,36,84,252,252,252,12,36,18,18,18,18,18,
18,36,18,18,36,36,36,18,18,18,18,36,36,18,18,36,36,36,126,18,126,126,252,168,
36,36,36,36,36,36,72,36,36,72,36,36,36,36,72,36,36,36,36,36,36,72,36,36,72,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,72,36,36,36,36,36,36,16,48,12,8,16,48,
48,96,96,1,2,6,3,9,18,18,18,9,9,18,12,36,18,18,18,9,9,18,12,36,3,21,21,63,6,6,
18,9,9,9,9,9,9,18,9,9,18,18,18,18,9,9,18,18,18,18,18,18,18,18,18,18,18,18,18,
9,9,12,36,36,36,36,36,36,36,36,36,36,36,36,36,12,36,36,36,36,36,84,18,18,18,
18,18,18,18,18,18,36,18,18,18,18,18,18,36,36,72,18,36,36,36,72,36,36,36,36,36,
36,36,36,36,16,48,12,12,24,12,16,24,24,3,3,9,3,3,9,18,18,18,18,6,18,6,18,9,9,
18,18,18,9,9,9,9,9,9,9,18,9,9,9,9,18,18,18,18,18,18,18,18,18,18,18,18,36,36,1,
8,12,12,12,24,24,1,9,9,9,9,9,9,18,18,1,3,3,12,3,1,3,3,1],[1,7,26,102,24,64,7,
13,51,132,108,12,12,24,14,14,28,42,42,36,112,216,216,36,48,48,96,32,36,60,24,
72,144,128,64,128,1,2,8,42,48,56,8,84,112,168,7,9,28,42,54,42,54,48,24,56,56,
168,216,168,12,12,12,12,24,24,24,24,48,27,33,56,6,6,24,8,8,6,8,48,48,48,12,60,
72,60,36,24,24,24,24,48,48,48,48,24,24,24,24,48,96,96,144,288,24,24,120,96,96,
96,18,6,36,36,12,72,96,48,24,24,30,18,18,96,18,12,12,12,12,24,72,48,48,24,96,
24,8,16,16,8,48,16,16,16,32,32,32,64,64,64,1,1,14,14,42,42,168,168,3,6,7,27,
84,84,6,6,12,24,24,7,2,3,12,9,24,6,3,3,18,6,6,6,12,12,24,24,6,3,6,6,12,12,12,
24,24,2,4,4,2,6,6,6,6,12,36,12,24,6,12,24,12,12,12,12,18,6,24,36,12,12,6,12,
12,12,12,12,12,12,12,36,24,96,96,36,24,18,6,6,6,12,12,48,48,12,12,12,36,72,48,
48,48,12,18,12,12,18,12,12,36,12,12,72,48,48,96,48,96,12,12,12,12,24,24,24,24,
24,24,24,24,24,24,48,48,48,48,12,6,6,18,12,12,24,18,18,36,96,96,18,6,18,36,24,
12,12,12,12,12,12,12,48,48,12,12,24,24,24,24,96,96,6,30,48,24,48,48,24,24,48,
48,48,48,24,72,72,24,24,24,24,24,48,48,48,48,32,32,32,64,16,16,16,32,32,32,32,
32,32,32,32,32,64,32,32,32,64,64,64,3,3,6,6,6,6,6,6,12,12,24,24,48,12,24,3,6,
9,24,6,3,3,6,6,12,12,12,24,24,12,7,3,14,42,6,18,12,6,6,12,12,12,12,12,12,12,
12,12,12,6,6,18,6,6,6,12,12,12,48,48,96,18,6,6,6,12,12,24,36,48,12,12,12,12,
12,12,12,12,24,6,6,6,6,12,6,6,6,6,12,6,12,12,48,9,3,6,12,12,6,6,6,24,12,12,12,
12,24,24,12,6,12,3,6,12,36,4,4,8,8,24,24,12,12,12,12,12,12,6,6,6,12,12,6,18,
12,6,12,12,12,6,18,6,12,12,12,12,12,12,12,12,12,12,6,6,6,6,12,12,12,12,12,6,
18,6,12,12,12,12,12,12,12,24,12,12,12,12,12,12,12,12,12,36,12,24,12,12,12,12,
12,12,24,12,12,12,24,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,36,24,24,24,12,24,12,12,12,12,12,12,12,12,24,24,24,24,24,24,24,24,24,
48,4,16,32,16,16,32,32,16,16,16,32,16,16,16,32,32,32,32,32,64,64,1,2,2,4,6,6,
6,6,3,3,6,24,6,12,6,12,12,12,12,6,6,24,12,3,1,1,2,2,2,4,6,6,12,3,3,3,6,6,3,9,
6,6,6,6,6,12,6,6,6,6,9,3,6,6,6,6,6,6,12,3,6,3,6,12,12,12,12,12,12,12,12,12,12,
12,12,6,6,12,6,6,6,12,12,6,6,12,12,12,12,12,6,6,6,6,6,12,12,6,6,12,12,12,12,
12,12,12,6,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,8,4,4,8,8,4,
8,16,16,16,32,32,6,3,3,3,6,6,6,12,3,3,6,3,3,3,6,3,3,3,6,6,6,6,6,12,6,6,6,6,6,
6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,4,8,8,16,4,4,4,4,8,8,4,4,4,4,8,16,
1,3,3,3,3,3,3,6,6,6,6,4,4,4,8,8,3,1,1],[1,15,18,54,72,64,35,9,27,108,108,60,
60,120,6,6,12,18,18,36,48,72,72,8,24,108,72,72,144,96,36,108,24,24,48,96,128,
192,15,3,9,12,18,18,18,18,24,24,24,24,72,72,72,36,36,36,36,72,72,72,72,144,27,
27,72,30,30,120,24,24,18,24,24,24,24,48,72,72,144,72,72,72,36,108,120,36,36,
24,24,24,24,48,48,48,48,96,72,216,72,72,72,144,96,96,96,96,18,18,36,12,12,24,
48,48,24,24,54,30,30,120,54,72,48,48,48,144,24,24,24,48,16,32,48,48,64,64,64,
1,3,3,3,9,36,36,4,12,24,36,36,72,72,18,18,36,72,72,9,6,15,2,18,72,72,9,15,30,
18,9,9,6,6,36,36,12,12,36,24,6,6,6,6,6,6,12,12,12,24,18,36,60,6,6,12,12,12,18,
18,12,12,24,12,12,12,12,12,12,12,24,48,48,24,24,24,24,48,48,48,48,18,36,36,24,
48,54,30,60,18,24,48,54,54,18,30,60,60,72,18,18,36,72,72,18,18,18,36,36,36,12,
12,12,12,12,12,24,48,48,36,36,24,24,24,24,144,144,54,18,36,36,144,144,48,48,
48,48,48,72,48,72,72,72,72,72,72,24,24,24,48,48,48,48,32,32,32,64,48,48,48,96,
96,96,96,96,64,9,15,18,9,18,9,9,9,6,6,12,36,36,72,36,36,24,3,9,12,36,6,6,18,
18,18,6,6,12,18,18,12,12,12,12,12,12,36,12,12,12,24,24,24,24,48,48,6,18,30,18,
18,18,36,36,24,48,24,6,18,6,6,9,18,6,6,6,18,6,6,12,12,12,24,36,24,24,15,18,36,
12,24,9,12,36,12,36,12,36,12,36,18,6,18,6,6,12,18,18,36,12,12,12,30,30,36,18,
18,6,6,36,18,18,18,12,12,12,12,60,36,36,36,12,12,24,12,12,12,36,12,12,36,36,
36,12,12,36,12,12,36,12,12,12,12,12,12,12,24,24,36,12,24,12,24,12,36,12,36,24,
24,24,24,24,24,24,24,24,48,4,16,32,48,48,16,16,16,32,16,16,16,32,32,32,96,96,
1,2,6,3,9,18,6,18,18,6,12,12,18,12,6,6,12,12,12,3,3,3,6,6,18,9,9,3,15,9,18,6,
6,6,18,9,3,6,6,6,6,6,6,12,9,9,12,12,12,12,12,12,12,12,12,12,12,12,6,6,12,18,
18,6,18,36,18,6,6,18,6,18,18,18,12,12,36,6,12,12,12,12,12,12,36,36,12,12,36,
36,12,12,12,12,12,12,36,36,12,12,12,12,12,12,12,12,12,12,12,12,8,12,12,12,16,
16,16,32,32,6,3,3,3,6,6,18,3,3,6,3,3,3,6,9,3,9,6,6,6,12,6,6,6,6,6,6,6,6,6,6,6,
18,12,12,12,12,12,12,12,12,12,4,8,24,4,4,4,12,12,4,4,4,24,1,3,3,3,3,3,3,6,6,6,
6,4,4,4,8,8,3,1,1],[1,7,26,102,24,64,7,13,51,132,108,36,36,72,18,18,12,54,54,
84,144,168,168,8,24,36,72,72,144,36,60,24,72,144,128,64,128,1,2,42,48,56,48,
84,112,168,3,21,36,54,42,54,42,48,24,56,56,168,168,168,36,36,36,36,72,72,72,
72,144,27,33,56,18,18,72,6,24,24,24,48,72,72,144,72,72,72,12,60,24,60,84,24,
24,24,24,48,48,96,192,72,24,24,72,48,144,144,48,192,24,96,72,72,48,18,30,60,
36,12,72,96,48,30,6,6,48,18,12,12,12,12,48,48,96,48,24,48,16,128,96,96,64,64,
64,6,14,14,42,42,168,168,3,6,9,21,84,84,4,12,24,36,36,72,72,18,18,36,72,72,7,
9,2,18,72,72,3,12,6,12,12,6,6,12,24,24,24,6,3,12,12,12,24,12,6,24,12,12,18,6,
24,36,12,6,24,48,12,12,12,12,24,96,96,6,24,36,12,6,6,12,24,48,48,12,36,12,12,
48,72,12,12,12,12,48,24,48,24,96,96,12,18,12,6,12,30,48,36,12,12,12,48,72,48,
96,48,96,12,12,12,12,48,48,24,24,24,24,24,24,48,48,48,48,96,96,12,6,6,12,12,6,
6,12,48,48,18,18,6,36,48,36,12,12,12,12,24,48,48,48,12,12,48,48,6,24,36,12,48,
48,24,48,24,48,24,24,24,32,64,128,16,32,32,32,32,32,64,64,6,12,6,6,12,6,6,12,
12,24,24,24,48,12,24,3,3,12,6,3,3,12,12,12,24,12,12,7,9,12,36,14,42,6,2,12,18,
12,24,6,12,12,12,12,12,12,2,4,4,12,12,12,12,12,12,48,24,24,48,96,6,6,6,6,12,
12,12,48,48,96,6,6,18,6,12,12,36,24,48,24,48,12,12,12,12,6,6,6,6,12,24,12,6,
12,6,12,12,48,12,6,12,12,12,12,24,6,24,12,12,12,12,12,12,24,24,24,48,24,12,6,
6,12,3,6,12,24,12,6,12,12,12,12,6,12,12,12,12,12,24,24,12,24,24,24,12,24,12,
24,12,12,12,12,12,12,12,24,12,12,12,24,24,16,48,12,8,16,32,32,16,32,16,32,1,1,
6,6,6,6,6,6,12,12,12,12,12,24,6,24,6,12,6,12,12,12,12,6,6,12,6,24,24,12,3,3,6,
6,3,3,3,6,6,6,6,3,6,6,3,6,6,3,3,6,12,24,12,12,12,12,12,6,6,6,6,6,6,6,6,24,6,6,
24,12,12,12,12,12,12,12,12,24,24,32,8,16,4,8,16,16,8,8,16,32,6,6,1,2,3,3,3,3,
6,6,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,12,1,4,4,4,8,8,1,3,3,3,3,3,3,2,1,2,4,3,1,1,
1,1],[1,15,26,78,24,64,35,13,39,156,156,36,36,72,6,6,36,18,18,108,144,72,72,8,
24,36,72,72,144,52,36,24,24,48,192,128,15,8,56,9,27,36,18,18,18,18,72,72,24,
24,72,72,72,36,36,36,36,72,72,72,72,144,39,39,104,18,18,72,6,24,24,24,48,72,
72,144,72,72,72,52,156,72,108,108,48,48,96,24,24,24,24,48,48,48,48,96,72,72,
72,72,144,54,54,108,12,12,24,48,48,18,18,18,72,78,24,24,48,144,24,72,16,32,48,
48,64,64,64,1,1,7,9,9,3,9,36,36,4,12,24,36,36,72,72,18,18,36,72,72,13,9,2,18,
72,72,13,9,18,7,21,28,6,6,12,27,27,36,36,12,12,36,14,42,18,6,6,12,12,24,18,36,
36,12,12,12,12,6,6,12,12,12,18,18,12,12,24,12,12,24,18,36,36,6,6,12,12,12,12,
12,24,24,24,24,24,24,48,48,18,18,36,18,42,42,84,12,12,12,12,24,24,48,48,48,48,
24,24,24,24,48,48,78,78,18,36,36,18,18,36,72,72,54,54,54,108,108,108,12,12,24,
36,36,144,144,18,18,36,36,144,144,56,168,216,216,72,72,48,48,48,96,96,32,32,
32,96,96,96,64,7,21,28,6,6,12,12,12,13,9,9,18,27,27,9,36,36,72,36,36,3,9,12,
36,6,6,18,18,18,6,6,12,18,18,12,12,36,6,6,8,24,24,24,48,6,6,12,6,6,6,6,12,12,
12,12,24,12,12,24,18,18,18,18,36,36,6,18,12,12,9,18,18,6,6,36,3,3,6,6,6,12,12,
12,24,12,12,9,18,36,9,12,36,36,108,84,84,12,36,18,18,6,6,6,6,12,18,18,36,12,
12,18,18,6,6,12,36,18,18,36,12,12,54,18,42,42,84,56,36,36,36,36,12,12,24,12,
12,24,12,12,12,12,24,36,36,36,36,12,12,24,12,12,24,36,36,12,12,12,12,12,12,12,
12,12,12,12,12,24,12,12,36,36,12,12,4,16,32,48,48,16,16,16,16,16,16,96,32,96,
32,1,2,6,3,9,18,18,18,3,3,6,4,12,6,6,18,3,3,6,4,12,3,9,7,21,6,6,18,9,9,3,3,3,
3,6,9,9,18,6,6,18,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,9,9,4,12,12,12,12,12,12,12,12,
12,12,12,12,12,4,12,12,12,12,12,28,6,6,6,6,18,18,6,6,18,36,18,18,18,6,6,18,12,
12,24,18,36,12,12,24,36,36,36,36,36,36,12,12,12,12,12,12,8,16,16,16,32,1,1,3,
3,1,3,6,6,6,6,2,6,6,18,3,3,6,6,6,3,3,3,3,3,3,3,6,9,9,3,3,6,6,6,6,6,6,6,6,6,6,
6,18,12,12,4,8,24,4,4,4,12,12,4,4,4,24,1,3,3,3,3,3,3,6,6,4,4,4,8,1,1,1],[1,15,
26,78,24,64,35,13,39,156,156,12,12,24,14,14,28,42,42,84,112,168,168,36,48,48,
96,32,52,36,24,24,48,192,128,15,2,8,42,48,56,56,84,112,168,7,21,28,42,42,42,
42,56,56,56,56,168,168,168,12,12,12,12,24,24,24,24,48,39,39,104,6,6,24,8,8,6,
8,48,48,48,52,156,24,84,84,24,24,24,24,48,48,48,48,96,24,24,24,24,48,48,48,48,
96,24,72,48,48,48,96,42,42,84,12,12,24,48,48,24,24,18,6,6,24,78,12,12,12,12,
24,24,48,48,24,96,8,16,16,56,16,16,16,32,32,32,64,64,64,1,1,7,14,14,42,42,168,
168,7,7,7,21,84,84,6,6,12,24,24,13,2,3,12,13,3,6,6,7,21,28,6,6,6,6,12,12,24,
24,21,21,6,6,12,12,12,12,24,14,42,4,4,2,14,6,6,12,12,12,24,12,24,12,12,12,12,
12,12,12,6,6,12,12,12,42,42,12,12,24,12,12,12,12,12,12,12,24,48,48,12,24,24,6,
6,6,6,12,12,24,24,12,12,12,12,24,24,18,6,12,42,42,84,12,12,12,12,24,24,48,48,
48,48,12,12,12,12,24,24,24,24,24,24,24,24,24,24,48,48,48,48,48,48,78,78,6,6,
12,12,24,6,6,12,24,24,42,42,42,84,84,84,12,12,12,12,12,12,24,48,48,12,12,24,
24,24,24,48,48,18,12,24,24,96,96,24,56,168,48,48,48,48,168,168,24,24,48,16,16,
32,32,32,32,32,32,32,32,32,32,32,64,32,32,32,64,64,64,7,21,28,6,6,6,6,6,6,12,
12,12,24,24,48,12,12,13,3,6,3,6,21,21,3,6,6,12,12,12,24,12,24,7,3,14,42,14,42,
6,6,6,6,12,6,6,12,12,12,12,12,12,12,12,12,12,6,6,6,6,6,6,6,12,12,12,24,24,48,
6,6,6,6,12,12,12,12,24,12,12,24,12,12,12,12,6,12,24,12,6,6,12,12,21,6,6,6,6,6,
6,6,12,24,12,3,3,6,12,12,6,6,12,6,12,12,12,12,12,12,12,3,3,6,28,84,4,8,8,24,
24,84,84,12,12,12,12,12,6,6,6,6,12,12,6,6,12,6,6,12,12,12,12,6,6,6,6,12,12,12,
12,12,12,12,12,12,6,6,12,12,12,12,12,12,12,6,42,42,42,84,12,12,56,12,24,24,12,
12,12,12,12,12,24,12,12,12,12,24,12,12,12,12,24,12,12,12,12,12,12,12,24,12,12,
24,12,12,12,12,12,12,24,12,12,12,12,12,12,12,12,12,12,12,12,12,24,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,4,16,16,16,16,32,16,16,32,32,16,16,16,32,32,
32,64,64,32,1,2,2,4,7,3,6,6,6,3,3,6,6,12,6,6,6,12,12,12,12,7,3,12,6,7,1,7,21,
2,2,2,4,6,6,12,3,3,3,3,6,6,3,3,6,6,6,6,6,12,3,3,6,6,6,6,3,6,6,6,6,6,6,6,6,6,3,
6,6,6,6,3,6,3,6,4,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,4,12,12,12,28,
6,6,6,6,6,6,6,6,12,12,6,6,12,12,12,12,12,6,6,6,6,12,12,12,6,6,12,12,24,12,12,
12,12,12,12,12,12,12,12,24,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
4,4,8,8,4,8,8,16,16,16,32,1,1,3,3,1,6,6,6,3,6,2,6,6,6,12,3,3,6,6,6,3,3,3,3,3,
3,3,6,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,4,8,8,16,4,4,4,8,8,4,4,4,4,
4,8,16,1,3,3,3,3,3,3,6,6,4,4,4,8,1,1,1],[1,15,18,54,72,64,35,9,27,108,108,60,
60,120,6,6,12,18,18,36,48,72,72,8,24,108,72,72,144,96,36,108,24,24,48,96,128,
192,15,3,9,12,18,18,18,18,24,24,24,24,72,72,72,36,36,36,36,72,72,72,72,144,27,
27,72,30,30,120,24,24,18,24,24,24,24,48,72,72,144,72,72,72,36,108,120,36,36,
24,24,24,24,48,48,48,48,96,72,216,72,72,72,144,96,96,96,96,18,18,36,12,12,24,
48,48,24,24,54,30,30,120,54,72,48,48,48,144,24,24,24,48,16,128,96,96,64,64,64,
1,3,3,3,9,36,36,4,12,24,36,36,72,72,18,18,36,72,72,9,6,15,2,18,72,72,9,15,30,
18,9,9,6,6,36,36,12,12,36,24,6,6,6,6,6,6,12,12,12,24,18,36,60,6,6,12,12,12,18,
18,12,12,24,12,12,12,12,12,12,12,24,48,48,24,24,24,24,48,48,48,48,18,36,36,24,
48,54,30,60,18,24,48,54,54,18,30,60,60,72,18,18,36,72,72,18,18,18,36,36,36,12,
12,12,12,12,12,24,48,48,36,36,24,24,24,24,144,144,54,18,36,36,144,144,48,48,
48,48,48,72,48,72,72,72,72,72,72,24,24,24,48,48,48,48,32,32,32,128,48,96,96,
64,9,15,18,9,18,9,9,9,6,6,12,36,36,72,36,36,24,3,9,12,36,6,6,18,18,18,6,6,12,
18,18,12,12,12,12,12,12,36,12,12,12,24,24,24,24,48,48,6,18,30,18,18,18,36,36,
24,48,24,6,18,6,6,9,18,6,6,6,18,6,6,12,12,12,24,36,24,24,15,18,36,12,24,9,12,
36,12,36,12,36,12,36,18,6,18,6,6,12,18,18,36,12,12,12,30,30,36,18,18,6,6,36,
18,18,18,12,12,12,12,60,36,36,36,12,12,24,12,12,12,36,12,12,36,36,36,12,12,36,
12,12,36,12,12,12,12,12,12,12,24,24,36,12,24,12,24,12,36,12,36,24,24,24,24,24,
24,24,24,24,48,16,48,12,8,16,32,16,16,32,1,2,6,3,9,18,6,18,18,6,12,12,18,12,6,
6,12,12,12,3,3,3,6,6,18,9,9,3,15,9,18,6,6,6,18,9,3,6,6,6,6,6,6,12,9,9,12,12,
12,12,12,12,12,12,12,12,12,12,6,6,12,18,18,6,18,36,18,6,6,18,6,18,18,18,12,12,
36,6,12,12,12,12,12,12,36,36,12,12,36,36,12,12,12,12,12,12,36,36,12,12,12,12,
12,12,12,12,12,12,12,12,16,16,8,16,12,24,24,16,6,3,3,3,6,6,18,3,3,6,3,3,3,6,9,
3,9,6,6,6,12,6,6,6,6,6,6,6,6,6,6,6,18,12,12,12,12,12,12,12,12,12,1,8,4,4,12,8,
8,1,3,3,3,3,3,3,6,6,6,6,2,3,4,8,3,1,1,1,1],[1,7,50,78,72,64,7,25,39,84,156,60,
60,120,18,18,84,54,54,108,48,168,168,8,24,108,168,168,336,96,36,36,120,72,48,
96,64,64,128,64,128,1,2,24,42,48,56,24,84,112,168,21,27,12,54,42,54,42,72,56,
56,168,168,168,60,60,60,60,120,120,120,120,240,39,21,56,30,30,120,24,24,18,24,
24,24,24,48,72,72,144,168,168,168,36,36,72,108,36,72,72,72,72,144,144,144,240,
96,72,120,120,72,144,48,48,144,72,72,72,72,144,96,96,96,96,54,18,36,36,60,24,
144,72,72,18,18,18,18,36,36,36,36,120,72,144,48,72,48,48,48,144,24,48,48,24,
16,128,96,96,64,64,128,128,64,3,3,14,14,42,42,168,168,9,9,21,84,84,4,12,24,36,
36,72,72,30,30,60,120,120,7,6,15,2,42,72,72,9,18,9,9,18,18,18,30,36,12,72,72,
9,18,18,36,36,36,36,24,6,12,12,6,18,18,36,36,36,36,36,36,36,18,30,12,36,6,36,
60,24,36,36,36,36,36,36,36,24,24,24,24,48,48,48,48,6,12,24,48,18,30,18,18,36,
12,60,36,36,36,24,12,12,12,12,24,24,24,72,24,72,48,48,6,12,6,24,48,54,36,36,
36,60,36,24,144,144,36,36,36,36,72,72,72,72,72,72,72,72,120,120,144,144,144,
144,48,48,18,18,18,36,36,72,18,18,36,18,18,54,36,36,36,36,36,36,36,60,24,144,
144,36,36,72,72,72,72,144,144,18,36,36,144,144,48,48,48,48,48,72,48,72,144,
144,144,144,72,72,72,16,16,32,96,64,32,32,32,128,16,32,32,32,32,32,64,64,9,9,
18,18,30,18,18,18,36,36,12,72,72,144,36,9,18,9,9,9,18,18,36,36,36,72,36,36,24,
7,15,12,36,14,42,6,2,6,30,18,12,6,36,36,36,36,36,12,36,36,36,24,24,24,24,48,
48,2,4,4,24,12,12,12,12,12,12,24,24,24,72,24,48,18,18,18,18,18,18,36,36,18,30,
18,18,36,36,12,36,60,24,36,36,36,36,6,6,6,6,12,24,48,24,18,18,36,6,18,18,18,
18,12,12,36,12,24,24,9,15,6,36,36,18,30,12,18,36,36,36,36,12,12,12,36,24,24,
24,36,6,12,12,24,9,18,12,12,24,24,72,72,36,36,36,36,36,36,18,18,36,36,18,18,
36,36,18,18,36,36,36,36,36,36,36,36,18,18,36,36,36,36,36,18,18,36,36,36,36,36,
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,
36,12,12,12,24,12,12,24,12,24,24,24,24,24,24,24,24,48,48,24,24,24,24,12,24,12,
24,36,36,36,36,36,36,24,16,48,12,8,16,32,32,16,32,32,32,32,32,32,32,32,16,1,1,
6,6,12,6,18,6,6,18,12,12,15,9,6,12,12,12,12,12,12,18,18,18,36,36,36,36,6,12,9,
3,6,12,12,6,12,12,12,3,3,6,6,6,12,18,18,36,9,9,18,18,9,9,18,18,18,18,36,18,18,
6,6,6,6,12,12,12,12,12,12,12,12,6,6,12,9,6,18,3,9,18,12,12,12,24,24,24,24,24,
24,24,24,12,12,12,12,12,6,6,12,12,12,12,12,18,18,36,36,18,18,36,36,36,36,36,
18,18,36,36,18,18,36,36,36,36,36,6,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,16,16,4,12,8,16,16,8,16,4,8,16,32,16,16,8,8,3,3,6,1,2,9,18,18,36,
3,6,6,3,3,3,6,6,6,6,6,9,9,18,18,3,6,6,12,12,6,6,6,12,12,12,12,12,6,12,12,6,18,
36,1,4,4,4,8,8,8,16,16,8,3,3,1,3,6,6,3,3,3,6,6,1,1,2,1,2,4,3,1,2,2,1,1,1],[1,
15,26,78,24,64,35,13,39,156,156,36,36,72,18,18,12,54,54,36,48,216,216,8,24,36,
72,72,144,52,36,24,24,48,192,128,15,2,42,48,56,84,112,168,3,9,12,54,54,54,54,
24,24,72,72,216,216,216,36,36,36,36,72,72,72,72,144,39,39,104,18,18,72,6,24,
24,24,48,72,72,144,72,72,72,52,156,72,36,36,24,24,24,24,48,48,24,24,24,24,48,
48,48,48,96,72,72,72,72,144,18,18,36,12,12,24,48,48,18,18,18,72,78,12,12,12,
12,48,144,24,24,16,128,96,96,64,64,64,1,14,14,42,42,168,168,3,3,9,27,108,108,
4,12,24,36,36,72,72,18,18,36,72,72,13,9,2,18,72,72,13,9,18,6,6,12,24,24,9,9,
36,36,12,12,36,6,6,6,18,36,36,6,6,12,12,12,54,54,12,12,12,12,48,48,18,36,36,6,
6,12,24,24,12,12,12,12,24,24,12,12,12,12,24,24,18,18,36,18,12,12,12,12,24,24,
48,48,48,48,12,12,12,12,24,24,24,24,24,24,48,48,48,48,78,78,18,36,36,18,18,36,
72,72,18,18,18,36,36,36,12,12,12,12,48,48,36,36,144,144,18,18,36,36,144,144,
72,72,72,72,48,96,96,32,32,32,64,64,6,6,6,6,12,12,24,24,48,12,12,13,9,9,18,9,
9,9,12,36,36,72,36,36,9,9,12,36,14,42,6,18,54,18,18,18,18,12,12,12,12,36,6,6,
4,4,12,12,12,12,12,12,24,24,6,6,6,6,12,12,24,24,48,6,6,6,6,12,12,12,12,24,12,
12,12,12,18,18,18,18,36,36,6,18,27,18,18,6,6,12,24,36,12,12,6,12,12,12,12,12,
12,12,24,24,12,12,9,18,36,9,6,12,36,12,36,12,36,18,18,18,18,36,18,18,36,18,18,
36,18,18,36,36,36,36,36,36,36,36,36,36,12,12,24,12,12,12,12,12,12,24,24,24,36,
36,24,16,48,12,8,16,16,32,32,16,1,1,2,6,9,9,18,6,18,18,12,12,12,12,6,12,6,6,6,
12,12,12,12,18,7,3,12,6,3,3,6,6,18,9,9,9,9,18,18,6,6,6,6,12,6,6,3,6,6,9,9,6,
12,12,12,12,12,12,12,12,6,12,6,18,18,18,36,18,18,18,18,18,36,6,36,36,36,36,36,
36,12,8,16,16,24,24,16,1,3,3,2,3,6,18,3,3,3,3,6,9,9,3,6,6,6,6,12,6,6,6,18,1,4,
8,4,12,1,1,1,3,3,3,3,3,2,4,1,1,1,1,1],[1,7,42,54,24,64,7,21,27,36,108,36,36,
72,6,6,84,18,18,108,48,24,24,8,24,36,72,72,144,52,60,72,24,144,64,64,64,1,24,
24,21,27,12,18,6,18,6,72,8,8,24,24,24,36,36,36,36,72,72,72,72,144,27,9,24,18,
18,72,6,24,24,24,48,72,72,144,72,72,72,36,36,24,108,36,48,144,96,24,72,72,24,
48,48,48,48,24,24,24,48,54,18,36,12,36,72,96,48,30,6,6,48,42,72,24,144,144,24,
48,16,128,96,96,64,64,64,3,3,9,3,3,12,12,4,12,24,36,36,72,72,18,18,36,72,72,3,
9,2,18,72,72,4,3,12,9,9,6,18,36,9,12,12,12,24,36,6,12,12,24,24,12,12,24,24,6,
18,24,36,12,12,18,12,36,24,12,12,48,48,6,36,6,18,36,24,24,36,12,12,12,24,24,
24,72,72,48,48,12,18,12,6,54,36,12,12,36,12,24,48,48,24,24,72,72,48,48,18,6,
12,12,6,6,12,18,18,54,36,36,12,36,24,12,12,48,48,6,12,12,48,48,72,72,24,24,24,
16,16,32,96,64,16,32,32,64,9,9,18,6,12,12,3,3,9,3,12,12,24,12,12,1,9,12,36,6,
2,6,18,6,12,6,12,12,2,24,24,72,24,48,6,6,6,18,6,6,12,12,12,12,36,24,6,6,6,6,
12,12,6,18,6,12,24,12,3,9,18,6,18,12,12,12,36,24,12,6,6,12,3,12,36,12,12,6,6,
6,12,6,6,12,18,12,12,12,12,12,12,12,12,12,12,12,24,12,12,12,12,48,24,12,12,24,
36,12,24,24,12,36,12,12,24,12,24,12,12,12,24,16,48,12,8,16,32,16,32,16,1,6,6,
6,9,3,6,12,12,6,6,1,9,3,6,3,12,12,6,3,6,3,6,3,3,6,3,6,12,6,18,6,12,6,6,3,12,6,
3,3,12,12,12,12,6,6,6,6,6,6,6,6,6,6,12,12,6,12,12,12,12,12,12,12,12,12,12,24,
16,16,4,12,8,4,8,8,16,3,3,1,6,6,3,3,3,3,6,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,1,4,4,
4,8,8,1,3,3,3,3,3,3,1,1,1,4,3,1,1,1,1],[1,7,18,78,72,64,7,9,39,84,60,60,60,
120,6,6,12,18,18,84,144,24,24,8,24,108,72,72,144,96,52,36,24,72,144,96,128,
128,64,1,48,3,21,36,18,6,18,6,48,24,8,8,24,24,24,36,36,36,36,72,72,72,72,144,
15,21,24,30,30,120,24,24,18,24,24,24,24,48,72,72,144,72,72,72,12,60,72,60,84,
24,24,24,24,48,48,144,48,288,48,48,96,96,96,72,72,24,24,144,96,96,96,96,18,30,
60,36,12,72,96,48,24,24,18,18,18,42,48,96,72,48,48,48,48,24,24,16,128,96,96,
64,64,64,6,3,6,3,3,12,12,4,12,24,36,36,72,72,18,18,36,72,72,3,6,15,2,18,72,72,
4,9,18,6,12,12,24,6,3,6,6,12,12,12,24,12,24,6,6,6,6,12,12,12,48,24,12,12,18,6,
24,36,12,12,18,36,12,72,12,12,12,12,12,12,12,48,24,24,24,24,48,48,48,48,30,24,
12,24,48,12,24,24,24,24,24,48,48,48,96,96,6,12,6,24,48,12,30,48,24,24,48,48,
48,48,48,96,96,12,6,18,18,36,36,72,6,6,12,18,18,6,36,48,36,12,12,12,12,36,12,
72,48,48,12,12,24,24,24,24,48,48,18,12,36,48,48,48,48,48,48,48,72,48,24,48,24,
48,72,72,32,64,128,32,32,32,128,16,32,32,64,6,12,12,24,12,9,18,3,6,3,3,6,6,12,
12,12,24,12,12,24,1,9,12,36,6,2,6,6,18,36,18,12,12,12,24,12,12,12,12,12,12,12,
24,24,24,24,48,48,2,48,48,96,12,12,24,12,24,24,48,6,6,6,6,12,24,48,24,6,6,12,
6,6,6,6,6,6,12,12,12,12,12,24,24,6,12,12,24,12,24,48,12,6,12,12,24,3,12,12,24,
12,36,6,6,6,6,24,12,12,12,24,12,12,6,6,12,18,6,12,24,24,24,12,12,12,48,12,12,
12,12,12,24,24,12,12,12,12,24,12,12,12,48,24,24,24,12,12,12,12,12,12,12,24,24,
12,24,12,24,12,12,16,48,12,8,16,32,32,16,16,1,6,6,6,6,6,12,12,6,12,24,6,6,12,
1,6,12,3,24,6,12,12,12,3,3,3,3,6,6,6,6,12,3,3,6,6,6,6,6,6,6,6,6,12,6,6,12,3,3,
12,24,12,12,24,12,12,12,12,12,12,12,24,6,6,6,6,12,6,6,6,6,24,12,12,24,12,12,
12,12,24,12,12,24,32,8,16,16,16,8,16,4,8,8,16,6,6,1,6,6,6,6,3,3,3,3,6,6,3,3,6,
6,6,6,6,6,12,6,6,6,6,12,1,4,4,4,8,8,1,3,3,3,3,3,3,2,2,1,4,3,1,1,1,1],[1,15,18,
54,72,64,35,9,27,108,108,60,60,120,6,6,12,18,18,36,48,72,72,8,24,108,72,72,
144,96,36,108,24,24,48,96,128,192,15,3,9,12,18,18,18,18,24,24,24,24,72,72,72,
36,36,36,36,72,72,72,72,144,27,27,72,30,30,120,24,24,18,24,24,24,24,48,72,72,
144,72,72,72,36,108,120,36,36,24,24,24,24,48,48,48,48,96,72,216,72,72,72,144,
96,96,96,96,18,18,36,12,12,24,48,48,24,24,54,30,30,120,54,72,48,48,48,144,24,
24,24,48,80,16,48,64,64,64,1,3,3,3,9,36,36,4,12,24,36,36,72,72,18,18,36,72,72,
9,6,15,2,18,72,72,9,15,30,18,9,9,6,6,36,36,12,12,36,24,6,6,6,6,6,6,12,12,12,
24,18,36,60,6,6,12,12,12,18,18,12,12,24,12,12,12,12,12,12,12,24,48,48,24,24,
24,24,48,48,48,48,18,36,36,24,48,54,30,60,18,24,48,54,54,18,30,60,60,72,18,18,
36,72,72,18,18,18,36,36,36,12,12,12,12,12,12,24,48,48,36,36,24,24,24,24,144,
144,54,18,36,36,144,144,48,48,48,48,48,72,48,72,72,72,72,72,72,24,24,24,48,48,
48,48,96,32,32,48,48,96,48,64,9,15,18,9,18,9,9,9,6,6,12,36,36,72,36,36,24,3,9,
12,36,6,6,18,18,18,6,6,12,18,18,12,12,12,12,12,12,36,12,12,12,24,24,24,24,48,
48,6,18,30,18,18,18,36,36,24,48,24,6,18,6,6,9,18,6,6,6,18,6,6,12,12,12,24,36,
24,24,15,18,36,12,24,9,12,36,12,36,12,36,12,36,18,6,18,6,6,12,18,18,36,12,12,
12,30,30,36,18,18,6,6,36,18,18,18,12,12,12,12,60,36,36,36,12,12,24,12,12,12,
36,12,12,36,36,36,12,12,36,12,12,36,12,12,12,12,12,12,12,24,24,36,12,24,12,24,
12,36,12,36,24,24,24,24,24,24,24,24,24,48,4,4,16,16,48,12,16,16,16,16,16,16,1,
2,6,3,9,18,6,18,18,6,12,12,18,12,6,6,12,12,12,3,3,3,6,6,18,9,9,3,15,9,18,6,6,
6,18,9,3,6,6,6,6,6,6,12,9,9,12,12,12,12,12,12,12,12,12,12,12,12,6,6,12,18,18,
6,18,36,18,6,6,18,6,18,18,18,12,12,36,6,12,12,12,12,12,12,36,36,12,12,36,36,
12,12,12,12,12,12,36,36,12,12,12,12,12,12,12,12,12,12,12,12,8,8,12,12,12,24,
16,16,16,8,6,3,3,3,6,6,18,3,3,6,3,3,3,6,9,3,9,6,6,6,12,6,6,6,6,6,6,6,6,6,6,6,
18,12,12,12,12,12,12,12,12,12,1,4,4,4,4,4,4,4,12,4,1,3,3,3,3,3,3,6,6,6,6,3,2,
4,4,4,3,1,1,1,1],[1,15,100,160,35,20,60,150,120,150,120,96,320,160,15,25,30,
60,90,300,120,120,75,90,60,60,30,60,96,200,80,240,160,1,5,15,15,75,45,30,60,
75,90,60,90,30,60,60,96,240,80,80,40,15,25,30,15,45,15,45,15,30,30,30,10,20,
60,40,16,48,5,15,15,15,15,15,15,6,20,20,10,20,16,16,15,6,5,10,6,5,1,1],[1,15,
20,60,60,40,35,10,30,120,120,90,60,60,120,40,40,90,120,96,40,120,80,120,80,15,
30,30,80,15,10,60,60,60,40,120,30,180,60,60,60,120,120,120,45,60,30,60,120,10,
60,96,10,40,40,40,120,120,80,80,40,40,40,1,10,15,10,30,15,30,15,30,30,60,45,
30,60,60,45,15,30,30,120,120,60,30,30,30,60,60,96,10,30,40,40,20,30,20,40,40,
40,40,40,40,40,40,40,10,30,15,15,30,30,15,5,15,30,30,30,15,30,15,30,30,10,10,
30,30,20,20,40,10,10,10,40,40,16,5,15,15,15,15,15,15,6,5,10,10,10,10,10,10,10,
16,15,6,5,5,5,10,6,5,1,1],[1,15,18,54,24,128,128,35,9,27,108,108,36,36,72,6,6,
12,18,18,36,48,72,72,8,24,36,72,72,144,36,36,384,384,15,3,9,12,18,18,18,18,24,
24,24,24,72,72,72,36,36,36,36,72,72,72,72,144,27,27,72,18,18,72,6,24,24,24,48,
72,72,144,72,72,72,36,108,72,36,36,72,72,72,72,144,18,18,36,18,18,18,72,54,
144,24,24,256,32,32,128,160,32,96,48,48,96,96,128,128,1,3,3,3,9,36,36,4,12,24,
36,36,72,72,18,18,36,72,72,9,9,2,18,72,72,9,9,18,9,9,36,36,36,6,6,6,18,36,36,
18,18,18,36,36,18,18,36,18,54,54,18,36,36,18,18,36,72,72,18,18,18,36,36,36,36,
36,144,144,18,18,36,36,144,144,72,72,72,72,96,48,48,96,96,96,96,96,96,192,96,
96,96,96,9,9,9,18,9,9,9,36,36,72,36,36,3,9,12,36,6,6,18,18,18,18,18,36,6,6,18,
18,18,18,36,36,6,18,9,18,18,36,9,18,36,9,12,36,12,36,12,36,18,18,18,18,36,18,
18,36,18,18,36,18,18,36,36,36,36,36,36,36,36,36,36,36,36,128,128,8,4,16,48,12,
8,8,32,32,32,32,96,48,48,24,96,96,1,2,6,3,9,18,18,18,18,3,3,6,6,18,9,9,9,9,18,
18,9,9,18,18,18,36,18,18,18,18,18,36,36,36,36,36,36,36,12,12,12,12,24,24,24,
24,24,48,3,6,18,9,9,18,16,16,32,1,2,4,8,8,8,8,24,12,12,12,24,24,1,3,6,4,8,1,1,
2,1],[1,3,54,54,96,32,80,1,21,9,36,72,72,72,72,24,6,84,54,36,36,144,72,8,24,
72,72,216,288,144,12,36,144,72,144,80,48,192,288,48,96,288,3,24,27,48,18,24,
72,21,9,36,18,18,24,36,72,36,36,36,72,36,72,72,144,72,72,144,9,12,36,18,72,36,
36,6,36,24,24,24,48,72,72,144,144,72,72,12,36,36,72,108,72,108,72,144,72,288,
36,144,144,36,72,144,72,36,72,72,144,144,144,144,18,36,72,72,108,36,18,54,18,
54,18,144,144,36,72,72,72,72,72,64,16,8,128,8,8,24,12,96,96,16,32,48,48,48,
288,96,48,96,48,96,48,3,9,9,18,36,3,3,18,4,12,24,36,36,72,72,36,18,36,72,72,9,
9,2,18,72,72,9,3,9,27,36,36,36,36,9,27,18,18,36,18,18,18,18,18,18,36,18,18,18,
18,36,36,18,36,18,18,36,36,36,36,36,72,72,72,72,36,72,18,18,18,18,36,18,18,18,
18,18,18,36,72,36,72,36,72,18,18,36,72,18,72,72,54,54,18,18,36,36,36,36,36,
108,144,144,144,72,144,72,18,18,36,18,18,36,18,54,36,18,72,72,72,18,36,36,108,
108,72,72,72,72,72,72,72,36,72,216,216,64,128,16,12,12,96,24,48,48,24,48,48,
48,192,48,48,12,24,24,24,48,48,24,48,48,96,24,24,16,48,48,48,48,96,48,48,3,9,
9,36,27,9,18,36,36,36,72,18,9,9,27,18,18,36,9,12,36,3,6,18,18,18,18,36,18,18,
36,36,36,36,72,72,6,6,24,18,18,18,18,18,18,36,36,72,18,18,18,18,18,18,36,18,
18,36,72,36,18,18,9,9,9,18,18,36,36,9,18,18,18,18,18,18,36,36,36,18,36,9,36,
108,18,18,18,18,18,18,18,18,18,54,18,36,36,18,18,18,18,18,18,18,18,18,18,18,
18,36,18,18,18,36,36,36,36,72,36,36,18,18,16,32,64,1,16,48,12,2,8,8,8,8,24,12,
12,48,12,12,12,24,24,48,48,24,24,24,24,24,24,12,24,24,24,24,12,48,1,9,18,18,9,
12,18,18,18,18,18,18,9,12,9,18,18,18,9,9,9,9,18,18,18,18,18,9,9,36,36,36,36,
18,18,18,18,18,18,18,18,18,18,18,18,16,32,16,16,1,3,16,12,6,24,24,12,12,24,3,
6,12,12,12,6,24,24,12,12,12,24,24,12,24,24,12,3,9,3,9,9,9,9,18,18,18,18,4,8,
16,1,1,2,3,3,3,12,6,3,3,6,3,6,6,24,12,9,4,8,4,4,1,3,3,1,3,3,6,3,3,3,3,1,4,3,3,
1,1,1,1],[1,105,35,140,35,105,315,126,210,420,105,120,315,70,126,35,35,35,105,
35,105,105,70,126,120,105,105,105,105,105,35,70,21,42,35,21,15,15,7,1],[1,15,
84,112,35,28,84,126,56,126,168,224,336,64,15,21,14,84,42,252,168,168,63,42,84,
84,14,84,28,28,56,112,112,112,64,1,7,21,21,63,63,42,84,63,42,84,42,42,84,84,
64,56,56,56,56,84,56,84,56,84,112,21,21,42,7,63,21,21,21,42,42,42,64,28,28,28,
56,28,28,28,28,56,28,84,8,7,7,21,21,21,21,21,7,28,28,28,8,21,8,8,7,7,7,7,8,8,
8,7,7,1],[1,1,14,84,112,7,42,28,28,56,84,84,42,84,168,224,112,224,64,8,56,7,
21,14,28,168,168,168,42,84,42,84,21,42,14,28,56,84,56,28,28,112,112,112,64,1,
7,14,7,21,42,42,84,21,21,42,42,84,21,42,42,42,84,84,64,56,56,56,56,28,28,56,
56,56,28,56,56,112,21,21,42,7,21,42,21,21,21,42,42,42,64,28,28,28,56,28,28,28,
56,28,28,28,56,8,7,7,21,21,21,21,21,7,28,28,28,8,21,8,8,7,7,7,7,8,8,8,7,7,1],[
1,15,14,42,112,35,7,21,84,84,28,84,112,28,336,224,64,15,8,56,7,21,28,56,56,21,
21,56,28,84,84,84,42,42,84,42,56,28,28,28,112,112,112,64,1,1,7,7,7,7,7,7,21,
28,21,21,14,42,14,42,42,84,42,42,42,42,42,84,84,84,56,168,168,168,64,84,28,28,
56,56,56,56,56,56,112,7,21,28,7,21,21,28,84,84,84,42,42,42,84,56,64,28,28,28,
28,28,28,28,28,28,56,56,56,8,8,7,7,21,28,7,28,28,28,56,8,8,1,8,8,7,7,7,8,8,7,
1,1],[1,15,42,126,112,35,21,63,252,252,14,14,28,42,42,84,112,168,168,84,84,84,
168,112,336,336,64,15,7,21,28,42,42,42,42,56,56,56,56,168,168,168,63,63,168,
84,252,84,84,84,84,84,84,168,168,168,168,336,42,42,84,42,42,84,168,168,126,56,
28,28,28,56,56,112,336,336,64,1,7,7,7,21,84,84,21,21,21,21,42,42,14,21,21,42,
42,42,42,42,42,42,42,42,84,84,42,42,42,42,84,84,168,168,168,168,126,126,42,42,
42,84,84,84,168,168,64,28,84,28,28,28,28,56,56,56,56,112,84,28,28,56,56,56,56,
112,56,42,42,21,21,21,7,14,42,21,21,21,21,42,42,42,42,84,21,21,21,42,42,28,84,
42,42,42,42,42,42,42,64,7,28,28,28,84,84,28,28,28,28,56,56,56,56,56,56,56,8,7,
21,21,7,21,21,21,42,42,42,42,7,7,14,7,7,28,28,28,14,8,21,8,8,8,7,7,7,7,7,7,14,
14,8,8,8,7,7,1,1],[1,1,56,42,84,112,7,42,84,84,84,49,42,42,21,42,84,14,42,42,
42,210,252,112,168,84,168,112,112,224,112,224,64,7,8,21,28,7,21,14,28,42,42,
84,84,126,42,84,21,42,28,28,28,14,42,42,42,42,168,84,42,84,84,168,84,84,168,
84,168,84,84,84,168,168,168,168,42,84,84,84,42,42,84,84,84,84,84,56,56,84,28,
28,112,112,224,224,112,64,1,7,7,42,21,42,21,42,7,42,21,21,42,21,42,14,42,42,
84,84,42,63,21,42,42,84,42,42,84,42,84,42,42,42,84,84,84,84,84,42,42,84,84,84,
84,84,84,84,84,84,168,168,64,28,28,28,84,28,28,56,28,28,56,28,28,112,28,56,28,
28,28,56,28,28,28,56,112,56,21,21,42,21,42,7,42,42,84,21,14,21,21,21,42,42,42,
21,42,21,21,42,28,84,42,42,42,42,42,42,42,64,7,28,28,28,28,28,28,28,28,28,28,
28,28,56,28,28,56,28,56,28,28,56,56,8,21,7,21,7,21,21,21,42,42,42,42,7,7,14,7,
7,28,28,28,14,8,21,8,8,8,7,7,7,7,7,7,14,14,8,8,8,7,7,1,1],[1,15,14,42,112,35,
7,21,84,84,14,14,42,42,168,168,28,336,224,64,15,2,42,48,56,84,112,168,42,42,
42,42,56,56,168,168,168,21,21,56,28,84,42,28,56,56,112,112,112,64,1,14,14,42,
42,168,168,7,21,84,84,7,7,42,42,42,42,64,84,56,56,56,56,56,112,112,7,7,14,42,
14,42,21,64,7,28,28,56,56,28,8,16,48,1,7,7,7,14,14,28,8,1,8,16,7,7,7,8,7,1,1,
1,1],[1,15,84,112,35,28,84,126,56,126,168,224,336,64,15,21,14,84,42,252,168,
168,63,42,84,84,14,84,28,112,56,112,112,112,64,1,7,21,21,63,63,42,84,63,42,84,
42,42,84,84,64,56,56,56,112,84,56,56,112,21,21,42,7,63,21,21,21,42,42,42,64,7,
28,28,56,28,56,8,7,7,21,21,21,21,21,14,7,21,28,8,21,16,8,7,7,7,7,7,7,8,7,7,1,
1],[1,15,60,176,80,35,20,60,90,90,96,160,240,240,15,15,60,180,45,60,160,96,20,
20,80,220,80,240,80,80,96,1,5,15,15,45,45,45,160,120,60,60,60,60,96,15,15,45,
80,80,11,20,5,20,20,20,60,60,16,48,5,6,10,15,15,10,20,6,16,5,5,5,5,6,10,6,5,1,
1],[1,15,50,150,72,64,35,25,75,300,300,108,108,216,26,26,52,78,78,156,208,312,
312,24,72,108,216,216,432,32,100,108,120,120,240,96,64,192,128,192,128,15,2,8,
42,48,56,56,84,112,168,13,39,52,78,78,78,78,104,104,104,104,312,312,312,108,
108,108,108,216,216,216,216,432,75,75,200,54,54,216,8,8,18,8,72,72,72,144,216,
216,432,216,216,216,100,300,216,156,156,72,72,72,72,144,144,144,144,288,120,
120,120,120,240,240,240,240,480,24,216,216,216,216,432,96,96,96,96,78,78,156,
60,60,120,240,240,24,24,54,54,54,216,150,36,36,36,36,72,72,144,144,24,48,48,
48,432,72,8,16,16,104,48,16,16,16,32,32,32,64,64,192,192,128,128,64,64,64,1,1,
7,14,14,42,42,168,168,13,13,13,39,156,156,12,36,72,108,108,216,216,54,54,108,
216,216,25,2,27,6,54,216,216,25,27,54,6,7,21,28,18,18,18,18,36,36,72,72,39,39,
6,6,108,108,60,60,108,24,14,42,4,4,2,26,18,18,6,6,12,36,36,72,54,108,108,36,
36,36,36,12,12,30,30,60,60,60,78,78,36,36,72,12,36,36,36,36,36,36,72,144,144,
24,24,24,24,48,48,48,48,54,108,108,24,48,18,18,18,18,36,36,72,72,60,60,60,60,
120,120,36,36,36,36,72,72,72,72,72,72,144,144,54,54,108,54,24,48,42,42,84,60,
60,60,60,120,120,240,240,240,240,36,36,36,36,72,72,72,72,72,72,72,72,72,72,
144,144,144,144,144,144,150,150,6,54,108,108,24,54,54,108,216,216,78,78,78,
156,156,156,36,36,36,36,36,36,72,144,144,108,108,24,24,24,24,432,432,54,54,
108,108,432,432,48,48,48,48,48,24,48,56,168,48,48,48,48,312,312,216,216,24,24,
24,24,24,48,48,48,48,16,48,32,32,16,16,16,16,32,32,32,32,64,32,32,32,32,32,32,
32,48,16,16,32,32,32,32,32,32,32,32,32,32,32,64,32,64,64,32,32,64,64,64,64,64,
64,64,7,21,28,18,18,18,18,18,18,36,36,36,72,72,144,60,60,25,27,6,27,54,39,39,
27,6,6,36,108,108,216,108,108,24,13,27,36,108,14,42,18,26,78,54,54,18,18,36,
54,54,36,36,36,36,36,36,108,12,12,12,24,24,24,24,48,48,18,18,12,12,24,36,36,
36,36,36,36,72,72,72,72,72,144,18,18,18,18,18,18,36,36,36,72,72,144,30,30,30,
30,60,60,60,60,120,36,36,72,36,36,36,36,54,54,54,54,108,108,24,48,24,18,54,6,
6,36,36,39,54,6,6,6,54,30,30,12,12,36,72,108,24,24,9,9,18,36,36,18,18,36,18,
36,36,36,36,36,36,36,36,36,72,72,72,60,60,27,54,108,12,24,27,18,36,108,52,156,
4,8,8,24,24,84,84,12,36,108,12,12,12,12,54,6,54,18,18,12,12,18,18,36,54,54,
108,36,36,12,54,54,18,18,36,12,12,12,12,12,12,12,12,108,54,54,6,6,108,36,36,
12,12,12,12,6,78,54,42,42,84,12,12,56,12,12,12,12,108,108,108,108,12,12,12,12,
36,36,72,12,12,36,36,72,36,36,36,36,72,12,12,12,108,12,12,108,108,108,36,36,
72,12,12,12,12,36,36,72,12,12,108,12,12,108,12,36,36,36,36,60,60,72,24,60,60,
60,60,36,36,36,36,72,72,72,36,36,24,24,24,24,24,24,24,24,48,48,24,24,24,24,72,
12,12,24,12,24,12,108,12,108,12,12,12,12,36,36,24,24,24,24,24,24,72,24,24,24,
48,4,16,16,16,16,32,16,16,32,32,48,48,32,32,32,32,32,32,32,16,16,32,16,16,16,
16,32,32,32,32,32,32,32,32,32,32,32,32,32,32,16,32,16,16,16,32,16,16,16,32,32,
32,32,32,64,64,32,64,1,3,6,2,2,4,18,13,27,54,18,54,54,6,12,12,9,9,18,12,36,36,
36,36,36,18,36,18,30,30,36,36,36,36,54,12,7,9,9,18,9,12,36,36,18,6,12,12,12,9,
13,1,7,21,2,2,2,4,18,18,54,6,6,12,27,27,3,9,9,6,6,9,9,18,6,6,6,6,12,27,27,54,
6,18,18,54,3,9,9,18,18,18,18,18,18,18,18,30,30,18,18,36,12,12,12,12,12,12,12,
12,3,18,18,18,30,6,6,12,9,18,18,27,27,18,4,12,36,36,36,36,36,36,36,36,36,36,
36,60,60,60,60,24,24,24,24,24,24,24,24,12,36,36,12,12,12,12,12,36,36,36,4,12,
36,36,28,18,18,18,18,18,6,12,12,36,12,12,18,6,12,54,54,6,18,18,12,12,54,108,6,
6,12,12,12,12,12,54,6,6,54,6,54,18,18,12,12,54,6,6,36,36,72,12,54,12,12,108,6,
18,12,12,12,12,12,12,12,12,12,12,12,12,36,36,72,12,12,12,12,108,108,12,12,108,
108,12,12,12,12,12,12,12,12,12,12,12,12,108,12,12,12,12,12,12,108,12,12,12,24,
12,36,36,36,12,12,12,12,24,12,12,12,12,12,12,12,12,24,24,4,4,8,8,4,4,8,8,4,8,
16,16,32,16,16,16,16,32,8,16,16,16,16,16,16,16,16,16,16,16,32,16,16,16,16,32,
32,1,1,3,9,9,6,9,6,9,1,3,9,18,18,18,3,18,2,6,18,6,18,6,6,12,54,3,3,6,9,9,18,6,
18,18,6,9,9,9,9,6,6,3,3,9,9,9,3,9,9,18,9,9,6,6,6,6,6,18,6,27,3,27,9,9,6,6,9,
18,6,18,18,18,18,12,12,6,18,18,18,18,18,6,36,12,12,12,12,18,6,12,30,18,18,18,
18,12,12,6,6,6,6,6,6,6,6,12,6,6,6,6,6,6,6,6,6,18,6,6,12,54,12,12,12,12,36,36,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,4,8,8,16,4,4,4,4,4,8,8,4,4,8,8,8,8,
4,4,4,4,4,8,8,4,4,4,4,4,4,4,4,8,8,8,16,16,16,16,3,1,3,3,3,3,3,3,3,3,3,9,9,9,9,
6,6,3,9,9,3,3,9,3,9,3,9,3,6,6,3,3,3,3,3,3,3,3,9,6,6,6,6,6,6,6,6,6,18,18,6,4,4,
4,4,4,4,4,4,4,4,4,4,8,8,4,4,4,4,4,4,4,4,4,8,8,8,3,3,3,1,3,3,3,3,3,3,3,3,3,3,3,
1,4,4,4,3,1,1,1,1],[1,15,50,150,72,64,35,25,75,300,300,60,60,120,42,42,36,126,
126,108,144,504,504,8,24,108,168,168,336,96,100,108,120,120,240,96,64,192,128,
192,128,15,6,8,126,144,168,56,252,336,504,9,27,36,126,126,126,126,72,72,168,
168,504,504,504,60,60,60,60,120,120,120,120,240,75,75,200,30,30,120,24,24,18,
24,24,24,24,48,72,72,144,168,168,168,100,300,120,108,108,120,120,120,120,240,
240,144,144,288,120,120,120,120,240,240,240,240,480,72,216,168,168,168,336,96,
96,96,96,54,54,108,60,60,120,240,240,72,72,54,30,30,120,150,60,60,60,60,72,72,
240,144,72,48,48,48,336,24,24,48,48,72,48,16,32,48,48,64,64,192,192,128,128,
64,64,64,1,1,7,42,42,126,126,504,504,9,9,21,63,252,252,4,12,24,36,36,72,72,30,
30,60,120,120,25,6,15,2,42,72,72,25,15,30,18,7,21,28,18,30,30,18,60,36,120,
120,27,27,18,18,60,60,60,60,84,24,14,42,12,12,6,18,6,6,18,18,36,36,36,72,42,
84,60,36,36,36,36,36,36,30,30,60,60,60,126,126,36,36,72,36,36,60,60,60,60,36,
72,240,240,24,24,24,24,48,48,48,48,42,84,84,24,48,18,18,30,30,60,36,120,120,
60,60,60,60,120,120,36,36,36,36,24,72,24,24,72,24,48,48,54,30,60,18,24,48,42,
42,84,60,60,60,60,120,120,240,240,240,240,60,60,60,60,72,72,120,120,120,120,
120,120,72,72,240,240,240,240,144,144,150,150,18,30,60,60,72,30,30,60,120,120,
54,54,54,108,108,108,60,60,60,60,36,36,72,240,240,60,60,72,72,72,72,240,240,
54,42,84,84,336,336,48,48,48,48,48,72,48,56,168,144,144,144,144,216,216,72,72,
72,72,24,24,24,48,48,48,48,16,48,48,48,48,48,96,96,32,32,32,64,48,48,48,96,96,
32,32,32,96,64,64,96,96,64,64,64,64,64,7,21,28,30,30,18,18,30,30,60,60,36,120,
120,240,60,60,25,15,18,15,30,27,27,15,18,18,60,60,60,120,60,84,24,21,15,12,36,
42,126,6,42,126,30,30,18,18,36,30,30,60,60,36,36,60,60,60,36,36,36,24,24,24,
24,48,48,6,18,12,12,8,36,36,36,36,36,36,24,72,72,24,24,48,30,30,18,30,18,30,
60,36,60,120,120,240,30,30,30,30,60,60,60,60,120,36,36,72,60,60,60,60,30,18,
42,18,36,84,24,48,24,6,42,18,18,36,36,63,30,18,18,18,30,30,30,12,12,60,120,60,
24,24,9,9,18,60,60,18,18,36,30,60,60,60,60,60,36,36,12,12,72,72,24,60,60,15,
18,36,12,24,15,30,12,36,36,108,12,24,24,72,72,84,84,36,12,36,36,36,36,36,30,
18,18,18,18,36,36,18,18,36,30,30,60,36,36,36,30,30,18,18,36,36,36,36,36,36,36,
36,36,36,18,18,18,18,60,36,36,36,36,36,36,18,54,18,42,42,84,36,36,56,12,12,12,
12,60,84,36,84,36,36,36,36,36,36,72,36,36,36,36,72,36,36,36,36,72,36,36,36,60,
36,36,60,36,84,36,36,72,36,36,36,36,36,36,72,36,36,60,36,36,60,36,36,36,36,36,
60,60,120,24,60,60,60,60,12,36,36,12,24,72,72,36,36,24,24,24,24,24,24,24,24,
48,48,24,24,24,24,72,36,12,24,12,24,12,60,36,36,36,36,36,36,36,36,24,24,24,24,
24,24,72,24,24,24,48,4,16,32,48,48,16,16,16,48,48,32,32,16,16,48,48,48,48,96,
96,96,96,32,32,32,32,16,32,16,16,16,32,16,16,16,32,32,96,32,96,32,64,3,1,2,6,
6,12,6,21,15,18,30,18,30,18,12,12,9,9,18,4,36,36,36,36,12,30,60,30,30,30,60,
60,60,60,18,12,21,3,3,6,15,4,12,60,30,6,12,12,12,3,9,3,7,21,6,6,6,12,6,6,18,
18,18,36,15,9,9,9,9,18,18,9,9,18,18,18,18,18,36,15,15,18,18,18,18,30,9,3,3,6,
18,18,18,18,18,18,18,30,30,18,18,36,12,12,12,12,12,12,12,12,9,18,18,30,30,6,6,
12,15,18,30,9,15,30,12,4,36,12,36,36,36,36,36,36,36,36,36,60,60,60,60,24,24,
24,24,24,24,24,24,36,36,36,12,12,12,12,4,12,36,36,12,36,36,36,28,6,6,6,6,30,
18,12,12,36,12,12,30,18,12,30,18,18,18,18,36,36,18,36,18,18,36,36,36,36,36,18,
6,6,30,18,18,18,18,36,36,42,18,18,36,36,72,36,18,36,36,60,6,18,12,12,12,12,12,
12,12,12,36,36,36,36,36,36,72,36,36,36,36,60,36,36,36,60,36,12,12,12,12,12,12,
12,12,12,12,12,12,36,36,36,36,36,36,36,36,12,12,12,24,12,36,36,36,12,12,12,12,
24,12,12,12,12,12,12,12,12,24,24,4,12,8,12,12,12,16,16,48,48,16,16,8,16,16,16,
16,16,16,16,16,16,16,16,16,32,16,16,16,32,32,1,3,1,3,15,6,3,6,15,3,1,3,18,18,
18,9,18,6,2,6,18,6,18,18,36,18,9,9,18,3,3,6,18,6,6,18,9,3,3,15,6,6,3,9,9,9,9,
3,3,3,6,15,15,18,6,6,6,6,18,6,15,9,9,9,9,18,18,9,18,18,30,6,6,18,12,12,6,6,6,
6,6,30,18,36,12,12,12,12,30,18,12,30,18,18,18,18,12,12,6,6,6,6,6,6,6,6,12,6,6,
6,6,6,6,6,6,6,6,18,18,36,18,12,12,12,12,36,36,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,4,8,24,4,4,4,12,12,12,12,12,12,4,4,4,12,12,4,4,4,4,4,4,8,8,24,16,
16,16,1,3,3,3,3,3,3,3,3,3,9,9,15,3,3,6,6,3,3,3,9,9,3,9,9,3,9,3,6,6,3,3,3,3,3,
3,3,3,9,6,6,6,6,6,6,6,6,18,6,6,18,4,4,4,4,4,4,4,4,4,4,12,4,12,4,4,4,4,4,4,4,4,
8,8,8,3,3,1,3,3,3,3,3,3,3,3,3,3,3,3,1,4,4,4,3,1,1,1,1],[1,15,50,150,72,64,35,
25,75,300,300,60,60,120,18,18,84,54,54,252,336,216,216,8,24,108,168,168,336,
96,100,108,120,120,240,96,64,192,128,192,128,15,2,24,42,48,56,168,84,112,168,
21,63,84,54,54,54,54,168,168,72,72,216,216,216,60,60,60,60,120,120,120,120,
240,75,75,200,30,30,120,24,24,18,24,24,24,24,48,72,72,144,168,168,168,100,300,
120,252,252,72,72,72,72,144,144,240,240,480,120,120,120,120,240,240,240,240,
480,72,216,168,168,168,336,96,96,96,96,126,126,252,60,60,120,240,240,72,72,54,
30,30,120,150,36,36,36,36,120,120,144,240,72,48,48,48,336,24,24,48,48,168,48,
16,128,96,96,64,64,192,192,128,128,64,64,64,1,3,21,14,14,42,42,168,168,21,21,
9,27,108,108,4,12,24,36,36,72,72,30,30,60,120,120,25,6,15,2,42,72,72,25,15,30,
18,21,63,84,30,18,18,30,36,60,72,72,63,63,18,18,60,60,60,60,84,24,42,126,12,
12,6,42,6,6,18,18,36,60,60,120,42,84,60,60,60,60,60,36,36,30,30,60,60,60,54,
54,60,60,120,36,60,36,36,36,36,60,120,144,144,24,24,24,24,48,48,48,48,42,84,
84,24,48,30,30,18,18,36,60,72,72,60,60,60,60,120,120,12,12,12,12,72,24,72,72,
24,72,144,144,54,30,60,18,24,48,126,126,252,60,60,60,60,120,120,240,240,240,
240,36,36,36,36,120,120,72,72,72,72,72,72,120,120,144,144,144,144,240,240,150,
150,18,30,60,60,72,30,30,60,120,120,126,126,126,252,252,252,36,36,36,36,60,60,
120,144,144,60,60,72,72,72,72,240,240,54,42,84,84,336,336,48,48,48,48,48,72,
48,168,504,144,144,144,144,504,504,72,72,72,72,24,24,24,48,48,48,48,16,48,96,
96,192,32,32,32,128,48,96,96,32,32,32,64,64,64,64,64,64,64,64,21,63,84,18,18,
30,30,18,18,36,36,60,72,72,144,60,60,25,15,18,15,30,63,63,15,18,18,36,60,60,
120,60,84,24,9,15,12,36,14,42,6,18,54,30,30,30,30,60,30,30,36,36,60,60,36,36,
60,36,36,36,24,24,24,24,48,48,6,18,4,4,24,12,12,12,12,12,12,72,24,24,72,72,
144,18,18,30,18,30,18,36,60,36,72,72,144,30,30,30,30,60,60,60,60,120,60,60,
120,36,36,36,36,30,18,42,18,36,84,24,48,24,6,42,18,18,60,60,27,30,18,18,18,30,
30,30,12,12,36,72,60,24,24,15,15,30,36,36,30,30,60,18,36,36,36,36,36,12,12,36,
36,24,24,72,60,60,15,18,36,12,24,15,18,12,36,84,252,12,24,24,72,72,252,252,36,
12,36,36,36,36,36,30,18,18,30,30,36,36,30,30,60,30,30,60,60,60,36,30,30,30,30,
60,36,36,36,36,36,36,36,36,36,18,18,18,18,60,60,60,36,36,36,36,18,126,18,126,
126,252,36,36,168,12,12,12,12,60,84,36,84,36,36,36,36,60,60,120,36,36,60,60,
120,60,60,60,60,120,36,36,36,60,36,36,60,36,84,60,60,120,36,36,36,36,60,60,
120,36,36,60,36,36,60,36,60,60,60,60,60,60,72,24,60,60,60,60,36,12,12,36,72,
24,24,60,60,24,24,24,24,24,24,24,24,48,48,24,24,24,24,24,36,12,24,12,24,12,60,
36,36,36,36,36,36,60,60,24,24,24,24,24,24,24,24,24,24,48,16,48,12,8,16,16,32,
32,48,48,32,32,32,96,96,32,32,32,32,16,16,32,16,64,1,1,2,6,6,12,6,9,15,18,18,
18,30,18,12,12,15,15,30,12,12,12,12,12,36,18,36,18,30,30,36,36,36,36,18,12,7,
9,9,18,9,12,36,36,18,6,12,12,12,3,21,3,21,63,6,6,6,12,6,6,18,18,18,36,15,9,9,
15,15,18,18,15,15,30,18,18,18,18,36,15,15,18,18,30,30,30,9,9,9,18,30,30,30,30,
30,30,30,30,30,6,6,12,12,12,12,12,12,12,12,12,9,30,30,18,30,6,6,12,9,6,18,9,
15,18,12,12,12,36,12,12,12,60,60,60,60,60,60,60,60,60,60,24,24,24,24,24,24,24,
24,36,60,60,12,12,12,12,12,36,60,60,12,36,60,60,84,18,18,18,18,18,18,12,12,12,
12,12,18,18,12,30,18,18,30,30,36,36,18,36,18,18,36,36,36,36,36,18,6,6,30,18,
18,30,30,36,36,42,18,18,60,60,120,36,18,36,36,60,6,6,12,12,12,12,12,12,12,12,
36,36,36,36,60,60,120,36,36,36,36,60,36,36,36,60,36,12,12,12,12,12,12,12,12,
12,12,12,12,36,36,36,36,36,36,36,36,12,12,12,24,12,60,60,60,12,12,12,12,24,12,
12,12,12,12,12,12,12,24,24,16,48,12,12,24,16,16,8,16,12,8,16,16,32,16,16,24,
24,16,16,16,32,16,16,3,1,3,9,9,6,3,2,9,3,3,9,30,30,30,9,30,6,6,18,18,6,18,18,
36,18,9,9,18,9,9,18,18,18,18,18,3,9,9,9,6,6,3,9,15,15,15,3,9,9,18,9,9,18,6,6,
6,6,6,6,15,9,9,15,15,18,18,3,6,18,18,18,18,6,12,12,6,18,18,18,18,18,18,12,12,
12,12,12,18,18,12,30,30,30,30,6,12,12,6,6,6,6,6,6,6,6,12,6,6,6,6,6,6,6,6,6,18,
18,18,36,18,12,12,12,12,60,60,12,12,12,12,12,12,12,12,12,12,12,12,12,12,1,4,8,
4,12,12,8,8,4,4,12,24,24,16,16,8,8,16,1,3,1,3,1,3,3,3,3,3,9,3,9,9,9,6,6,3,9,9,
9,9,9,9,3,3,3,3,6,6,3,3,3,3,3,3,3,3,15,6,6,6,6,6,6,6,6,18,18,18,18,1,3,2,3,2,
4,12,4,4,4,4,4,8,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,3,3,2,2,1,1,1,1,4,3,1,1,1,1,
1,1,1,1],[1,15,42,126,24,128,128,35,21,63,252,252,36,36,72,42,42,12,126,126,
36,48,504,504,8,24,36,72,72,144,84,36,72,72,144,64,192,384,384,384,15,6,126,
144,168,252,336,504,3,9,12,126,126,126,126,24,24,168,168,504,504,504,36,36,36,
36,72,72,72,72,144,63,63,168,18,18,72,6,24,24,24,48,72,72,144,72,72,72,84,252,
72,36,36,72,72,72,72,144,144,72,72,72,72,144,144,144,144,288,72,72,72,72,144,
18,18,36,36,36,72,144,144,18,18,18,72,126,36,36,36,36,144,144,24,24,256,32,32,
128,160,32,96,48,48,96,96,128,128,192,192,192,192,1,42,42,126,126,504,504,3,3,
21,63,252,252,4,12,24,36,36,72,72,18,18,36,72,72,21,9,2,18,72,72,21,9,18,18,
18,36,72,72,9,9,36,36,36,36,36,6,6,6,18,36,36,18,18,36,36,36,126,126,36,36,36,
36,144,144,18,36,36,18,18,36,72,72,36,36,36,36,72,72,36,36,36,36,72,72,18,18,
36,18,36,36,36,36,72,72,144,144,144,144,36,36,36,36,72,72,72,72,72,72,144,144,
144,144,126,126,18,36,36,18,18,36,72,72,18,18,18,36,36,36,36,36,36,36,144,144,
36,36,144,144,18,18,36,36,144,144,72,72,72,72,256,16,48,48,48,48,48,96,96,96,
48,48,96,96,96,96,96,96,192,96,96,96,192,96,96,64,96,96,192,18,18,18,18,36,36,
72,72,144,36,36,21,9,9,18,9,9,9,36,36,36,72,36,36,21,9,12,36,42,126,6,42,126,
18,18,18,18,36,36,36,36,36,6,6,12,12,36,36,36,36,36,36,72,72,18,18,18,18,36,
36,72,72,144,18,18,18,18,36,36,36,36,72,36,36,36,36,18,18,18,18,36,36,6,18,63,
18,18,18,18,36,72,36,36,36,18,36,36,36,36,36,36,36,72,72,36,36,9,18,36,9,18,
12,36,12,36,12,36,18,18,18,18,36,18,18,36,18,18,36,18,18,36,36,36,36,36,36,36,
36,36,36,36,36,72,36,36,36,36,36,36,72,72,72,36,36,72,128,128,8,4,16,48,12,8,
8,32,32,32,32,96,48,48,48,96,96,24,48,48,48,48,48,48,96,96,96,96,48,96,96,3,1,
2,6,21,9,18,18,18,18,36,36,36,36,18,36,18,18,18,36,36,36,36,18,21,9,36,18,3,3,
6,6,18,9,9,9,9,18,18,18,18,18,18,36,18,18,9,18,18,9,9,18,36,36,36,36,36,36,36,
36,18,36,18,18,18,18,36,18,18,18,18,18,36,18,36,36,36,36,36,36,64,64,4,12,12,
12,12,12,24,24,16,48,48,24,48,48,24,24,24,48,48,3,9,3,6,9,6,18,9,9,9,9,18,9,9,
9,18,18,18,18,36,18,18,18,18,16,16,32,1,2,4,8,12,8,8,8,24,12,12,12,12,12,12,
12,12,12,12,24,24,1,3,3,9,9,9,9,16,16,3,6,4,6,12,12,12,3,4,8,1,1,2,3,3,4,1,3,
1,1],[1,15,18,54,168,128,128,35,9,27,108,108,108,108,216,6,6,12,18,18,36,48,
72,72,8,24,252,72,72,144,288,36,252,72,72,144,288,768,768,384,384,15,3,9,12,
18,18,18,18,24,24,24,24,72,72,72,36,36,36,36,72,72,72,72,144,27,27,72,54,54,
216,72,72,42,72,24,24,24,48,72,72,144,72,72,72,36,108,216,36,36,72,72,72,72,
144,144,144,144,288,216,504,72,72,72,144,288,288,288,288,18,18,36,36,36,72,
144,144,72,72,126,54,54,216,54,216,144,144,144,144,24,72,24,144,256,32,32,128,
160,32,96,48,48,96,96,128,128,384,384,384,384,1,3,3,3,9,36,36,4,12,24,36,36,
72,72,18,18,36,72,72,9,18,27,2,18,72,72,9,27,54,54,9,9,18,18,36,36,36,36,36,
72,18,6,6,6,18,18,36,36,36,72,18,36,108,18,18,36,36,36,18,18,36,36,72,36,36,
36,36,36,36,36,72,144,144,72,72,72,72,144,144,144,144,18,36,36,72,144,126,54,
108,18,72,144,54,54,54,54,108,108,216,18,18,36,72,72,18,18,18,36,36,36,36,36,
36,36,36,36,72,144,144,36,36,72,72,72,72,144,144,126,18,36,36,144,144,144,144,
144,144,144,216,144,72,72,72,72,216,216,72,72,72,144,144,144,144,256,96,96,96,
96,192,576,192,384,192,192,96,48,48,96,96,96,96,96,96,192,96,96,96,96,384,384,
9,27,54,9,18,9,9,9,18,18,36,36,36,72,36,36,72,3,9,12,36,6,6,18,18,18,18,18,36,
18,18,36,36,36,36,36,36,36,36,36,36,72,72,72,72,144,144,6,42,54,18,18,18,36,
36,72,144,72,6,18,18,18,9,18,18,18,18,18,18,18,36,36,36,72,36,72,72,27,18,36,
36,72,9,12,36,12,36,36,108,12,36,18,18,18,18,18,36,18,18,36,36,36,36,54,54,36,
18,18,18,18,36,54,18,18,36,36,36,36,108,36,36,36,36,36,72,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,72,72,108,36,72,36,72,36,36,
36,36,72,72,72,72,72,72,72,72,72,144,128,128,8,4,16,48,12,8,8,32,32,32,32,96,
48,48,24,48,48,96,96,96,96,96,96,96,48,48,96,96,96,96,96,96,96,96,96,1,2,6,3,
9,18,18,18,18,18,36,36,18,36,18,18,36,36,36,3,3,9,6,6,18,9,9,9,27,9,18,18,18,
18,18,27,9,18,18,18,18,18,18,36,9,9,36,36,36,36,36,36,36,36,36,36,36,36,18,18,
36,18,18,18,18,36,18,18,18,18,18,18,18,18,36,36,36,18,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,128,
128,48,24,48,48,24,48,48,12,12,12,12,24,24,24,24,24,48,48,48,96,96,96,96,96,
48,96,18,3,9,9,18,6,18,9,9,18,9,9,9,18,9,9,9,18,18,18,36,18,18,18,18,18,18,18,
18,18,18,18,18,36,36,36,36,36,36,36,36,36,16,16,32,1,2,4,8,8,8,8,24,12,12,12,
24,12,12,12,12,12,24,12,12,12,24,24,24,24,24,24,24,24,1,9,9,9,9,9,9,18,18,18,
18,16,16,32,6,3,6,12,12,24,12,12,12,24,24,24,24,24,9,4,8,1,1,2,3,3,6,6,4,8,3,
3,6,1,1],[1,15,42,126,24,128,128,35,21,63,252,252,36,36,72,6,6,84,18,18,252,
336,72,72,8,24,36,72,72,144,84,36,72,72,144,64,192,384,384,384,15,24,168,21,
63,84,18,18,18,18,168,168,24,24,72,72,72,36,36,36,36,72,72,72,72,144,63,63,
168,18,18,72,6,24,24,24,48,72,72,144,72,72,72,84,252,72,252,252,144,144,288,
72,72,72,72,144,144,144,144,288,72,72,72,72,144,126,126,252,36,36,72,144,144,
18,18,18,72,126,72,72,144,144,24,168,256,32,32,128,160,32,96,48,48,96,96,128,
128,192,192,192,192,1,3,21,21,21,3,9,36,36,4,12,24,36,36,72,72,18,18,36,72,72,
21,9,2,18,72,72,21,9,18,21,63,84,18,18,36,63,63,36,36,36,36,36,42,126,42,6,6,
36,36,72,18,36,36,36,36,36,36,18,18,36,36,36,18,18,36,36,72,36,36,72,18,36,36,
18,18,36,36,36,36,36,72,72,72,72,72,72,144,144,18,18,36,18,126,126,252,36,36,
36,36,72,72,144,144,144,144,72,72,72,72,144,144,126,126,18,36,36,18,18,36,72,
72,126,126,126,252,252,252,36,36,72,36,36,144,144,18,18,36,36,144,144,168,504,
504,504,72,72,256,16,48,96,96,192,96,48,48,96,96,96,96,96,96,192,96,96,96,96,
96,64,96,96,192,21,63,84,18,18,36,36,36,21,9,9,18,63,63,9,36,36,72,36,36,3,9,
12,36,6,6,18,18,18,18,18,36,18,18,36,36,36,6,6,24,72,72,72,144,18,18,36,18,18,
18,18,36,36,36,36,72,36,36,72,18,18,18,18,36,36,6,18,36,36,9,18,18,18,18,36,9,
9,18,18,18,36,36,36,72,36,36,9,18,36,9,12,36,84,252,252,252,12,36,18,18,18,18,
18,18,36,18,18,36,36,36,18,18,18,18,36,36,18,18,36,36,36,126,18,126,126,252,
168,36,36,36,36,36,36,72,36,36,72,36,36,36,36,72,36,36,36,36,36,36,72,36,36,
72,36,36,36,36,36,36,36,36,36,36,36,36,36,36,72,36,36,36,36,36,36,128,128,8,4,
16,48,12,8,8,32,32,32,32,96,48,48,48,48,48,24,48,48,96,96,48,48,48,96,96,96,
96,1,2,6,3,9,18,18,18,9,9,18,12,36,18,18,18,9,9,18,12,36,3,21,21,63,6,6,18,9,
9,9,9,9,9,18,9,9,18,18,18,18,9,9,18,18,18,18,18,18,18,18,18,18,18,18,18,9,9,
12,36,36,36,36,36,36,36,36,36,36,36,36,36,12,36,36,36,36,36,84,18,18,18,18,18,
18,18,18,18,36,18,18,18,18,18,18,36,36,72,18,36,36,36,72,36,36,36,36,36,36,36,
36,36,64,64,16,48,12,12,24,12,12,12,12,24,16,24,24,24,24,24,48,48,48,48,96,3,
3,9,3,3,9,18,18,18,18,6,18,6,18,9,9,18,18,18,9,9,9,9,9,9,9,18,9,9,9,9,18,18,
18,18,18,18,18,18,18,18,18,18,36,36,16,16,32,1,2,4,8,8,8,8,24,12,12,12,12,12,
12,12,12,12,12,12,24,24,24,24,1,9,9,9,9,9,9,18,18,16,16,1,3,3,6,12,12,12,12,
24,3,4,8,1,1,2,3,3,4,1,3,1,1],[1,15,180,320,80,35,60,180,270,120,270,360,576,
960,480,240,15,45,30,180,90,540,360,360,135,90,180,180,30,180,160,576,20,400,
240,720,120,80,240,240,1,15,45,45,135,135,90,180,135,90,180,90,90,180,180,160,
120,120,120,720,240,240,60,120,120,240,45,45,90,15,135,45,45,45,90,90,90,80,
160,20,60,20,180,60,120,60,120,96,288,96,15,15,45,45,45,45,45,80,36,60,60,15,
60,60,45,10,36,15,15,15,15,10,16,16,15,15,10,6,6,1],[1,15,180,176,80,35,20,60,
270,360,270,360,96,800,480,240,720,15,45,90,60,270,540,360,360,135,270,180,60,
90,180,160,96,20,20,80,220,80,240,80,80,240,720,240,240,96,1,5,15,15,135,45,
90,180,135,270,180,270,90,180,180,160,320,288,120,600,120,240,240,240,60,60,
180,60,240,240,96,15,45,90,45,45,45,135,45,90,90,90,80,80,160,11,20,5,20,20,
20,60,60,60,180,60,60,60,60,60,60,16,48,96,5,45,45,45,45,45,45,80,80,6,50,60,
30,45,15,60,60,60,60,60,48,48,45,10,20,6,16,5,5,5,5,45,15,15,15,6,10,20,20,18,
16,15,15,15,15,6,5,10,1,6,5,3,1,1],[1,15,66,198,168,128,128,35,33,99,396,396,
108,108,216,42,42,84,126,126,252,336,504,504,8,24,252,360,360,720,288,132,252,
216,216,432,288,128,384,768,768,384,384,768,15,6,24,126,144,168,168,252,336,
504,21,63,84,126,126,126,126,168,168,168,168,504,504,504,108,108,108,108,216,
216,216,216,432,99,99,264,54,54,216,72,72,42,72,24,24,24,48,72,72,144,360,360,
360,132,396,216,252,252,216,216,216,216,432,432,432,432,864,216,216,216,216,
432,432,432,432,864,216,504,360,360,360,720,288,288,288,288,126,126,252,108,
108,216,432,432,216,216,126,54,54,216,198,108,108,108,108,216,216,432,432,216,
144,144,144,720,24,72,144,144,168,144,256,32,32,128,160,32,96,48,48,96,96,128,
128,384,384,384,768,768,384,384,384,384,384,1,3,21,42,42,126,126,504,504,21,
21,21,63,252,252,4,12,24,36,36,72,72,54,54,108,216,216,33,18,27,2,90,72,72,33,
27,54,54,21,63,84,54,54,54,54,108,108,216,216,63,63,54,54,108,108,108,108,180,
72,42,126,36,36,18,42,6,6,54,54,108,108,108,216,90,180,108,108,108,108,108,
108,108,54,54,108,108,108,126,126,108,108,216,108,108,108,108,108,108,108,216,
432,432,72,72,72,72,144,144,144,144,90,180,180,72,144,54,54,54,54,108,108,216,
216,108,108,108,108,216,216,36,36,36,36,72,72,72,72,72,72,144,144,126,54,108,
18,72,144,126,126,252,108,108,108,108,216,216,432,432,432,432,108,108,108,108,
216,216,216,216,216,216,216,216,216,216,432,432,432,432,432,432,198,198,54,54,
108,108,216,54,54,108,216,216,126,126,126,252,252,252,108,108,108,108,108,108,
216,432,432,108,108,216,216,216,216,432,432,126,90,180,180,720,720,144,144,
144,144,144,216,144,168,504,432,432,432,432,504,504,72,72,216,216,72,72,72,
144,144,144,144,256,512,32,96,48,48,48,48,96,96,96,96,192,96,96,96,96,192,576,
192,384,192,192,96,48,48,96,96,96,96,96,96,192,192,96,96,96,96,192,96,96,128,
384,96,96,384,384,384,384,384,384,21,63,84,54,54,54,54,54,54,108,108,108,216,
216,432,108,108,33,27,54,27,54,63,63,27,54,54,108,108,108,216,108,180,72,21,
27,12,36,42,126,6,42,126,54,54,54,54,108,54,54,108,108,108,108,108,108,108,
108,108,108,72,72,72,72,144,144,6,42,12,12,24,36,36,36,36,36,36,72,72,72,72,
72,144,54,54,54,54,54,54,108,108,108,216,216,432,54,54,54,54,108,108,108,108,
216,108,108,216,108,108,108,108,54,18,90,18,36,180,72,144,72,6,90,54,54,108,
108,63,54,54,54,54,54,54,54,36,36,108,216,108,72,72,27,27,54,108,108,54,54,
108,54,108,108,108,108,108,36,36,36,36,72,72,72,108,108,27,18,36,36,72,27,54,
12,36,84,252,36,72,72,216,216,252,252,108,12,36,108,108,108,108,54,54,18,54,
54,108,108,54,54,108,54,54,108,108,108,108,54,54,54,54,108,108,108,108,108,
108,108,108,108,36,18,18,54,54,108,108,108,108,108,108,108,54,126,18,126,126,
252,108,108,168,36,36,36,36,108,180,36,180,108,108,108,108,108,108,216,108,
108,108,108,216,108,108,108,108,216,108,108,108,108,108,108,108,36,180,108,
108,216,108,108,108,108,108,108,216,108,108,108,108,108,108,108,108,108,108,
108,108,108,216,72,108,108,108,108,36,36,36,36,72,72,72,108,108,72,72,72,72,
72,72,72,72,144,144,72,72,72,72,72,108,36,72,36,72,36,108,108,36,108,108,108,
108,108,108,72,72,72,72,72,72,72,72,72,72,144,128,128,256,8,4,16,48,12,8,8,32,
32,32,32,96,48,48,96,48,48,96,96,24,96,96,192,192,48,48,96,48,48,48,48,96,96,
96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,48,48,96,96,96,96,96,48,
48,96,96,96,96,96,96,96,384,3,1,2,18,18,36,6,21,27,18,54,18,54,54,36,36,27,27,
54,12,36,36,36,36,36,54,108,54,54,54,108,108,108,108,18,36,21,9,9,18,27,12,36,
108,54,18,36,36,36,3,21,9,21,63,18,18,18,36,6,6,18,54,54,108,27,9,27,27,27,54,
54,27,27,54,54,54,54,54,108,27,27,18,54,54,54,54,27,9,9,18,54,54,54,54,54,54,
54,54,54,18,18,36,36,36,36,36,36,36,36,36,27,54,54,54,54,18,18,36,27,18,54,9,
27,54,36,12,36,36,36,36,36,108,108,108,108,108,108,108,108,108,108,72,72,72,
72,72,72,72,72,108,108,108,36,36,36,36,12,36,108,108,36,108,108,108,84,18,18,
18,18,54,54,36,36,36,36,36,54,54,36,54,18,54,54,54,108,108,18,36,54,54,108,
108,108,108,108,18,18,18,54,54,18,54,54,108,108,90,54,54,108,108,216,108,18,
108,108,108,18,18,36,36,36,36,36,36,36,36,108,108,108,108,108,108,216,108,108,
108,108,108,36,108,108,108,36,36,36,36,36,36,36,36,36,36,36,36,36,36,108,108,
108,108,108,108,36,36,36,36,72,36,108,108,108,36,36,36,36,72,36,36,36,36,36,
36,36,36,72,72,128,128,128,128,4,12,16,48,12,12,24,48,24,48,48,24,48,48,12,12,
12,12,24,24,32,96,48,48,48,48,96,24,24,48,48,24,24,24,96,48,48,96,48,48,48,48,
48,96,96,96,48,48,96,96,96,96,48,48,96,48,96,96,3,3,3,9,27,18,3,6,27,9,3,9,54,
54,54,27,54,18,6,18,54,6,54,54,108,18,27,27,54,9,9,18,54,18,18,54,9,9,9,27,18,
18,9,27,27,27,27,9,9,9,18,27,27,54,18,18,18,18,18,18,27,27,9,27,27,54,54,9,18,
54,54,18,18,18,36,36,18,18,18,18,18,54,54,36,36,36,36,36,54,54,36,54,54,54,54,
18,36,36,18,18,18,18,18,18,18,18,36,18,18,18,18,18,18,18,18,18,18,54,54,108,
18,36,36,36,36,108,108,36,36,36,36,36,36,36,36,36,36,36,36,36,36,16,16,32,128,
1,2,4,8,12,8,8,8,24,12,12,12,12,12,12,12,12,24,24,24,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,24,12,12,12,12,24,24,24,24,24,48,48,24,24,24,24,24,24,24,96,
48,48,1,9,3,9,3,9,9,9,9,9,27,9,27,9,9,18,18,9,9,9,27,27,9,27,9,9,9,9,18,18,9,
9,9,9,9,9,9,9,27,18,18,18,18,18,18,18,18,54,18,18,54,16,16,32,16,16,32,1,3,6,
3,6,4,12,6,12,12,12,12,12,24,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,24,24,24,24,24,24,3,9,3,9,9,9,9,9,9,9,9,9,9,9,9,4,8,16,16,1,
1,2,3,3,6,6,3,3,3,3,6,6,12,12,12,12,9,4,4,4,8,1,1,3,3,3,3,3,3,3,3,6,1,4,3,3,1,
1,1,1],[1,7,98,126,168,448,7,49,63,84,252,252,252,504,42,42,196,126,126,252,
112,168,168,56,168,252,504,504,1008,224,84,84,504,168,336,672,448,448,896,448,
896,512,1,2,56,42,48,56,56,84,112,168,49,63,28,126,42,126,42,168,56,56,168,
168,168,252,252,252,252,504,504,504,504,1008,63,21,56,126,126,504,56,56,42,56,
168,168,168,336,504,504,1008,504,504,504,84,84,168,252,84,168,168,168,168,336,
336,336,1008,672,168,504,504,168,336,336,336,336,168,168,168,168,336,672,672,
672,672,126,42,84,84,252,168,336,168,168,42,42,42,42,84,84,84,84,504,168,336,
336,168,336,336,336,336,56,112,112,56,112,896,112,112,672,672,224,448,448,896,
896,448,7,7,14,14,42,42,168,168,21,21,21,84,84,28,84,168,252,252,504,504,126,
126,252,504,504,7,14,63,14,126,504,504,21,42,21,21,42,42,42,126,84,84,168,168,
21,42,42,84,84,84,84,168,14,28,28,14,42,42,84,84,84,84,84,84,84,42,126,84,84,
42,84,252,168,84,84,84,84,84,84,84,168,168,168,168,336,336,336,336,42,84,168,
336,42,126,42,42,84,84,252,84,84,84,168,84,84,84,84,168,168,168,504,168,504,
336,336,42,84,42,168,336,126,84,84,84,252,84,168,336,336,84,84,84,84,168,168,
168,168,168,168,168,168,504,504,336,336,336,336,336,336,42,42,42,84,84,168,42,
42,84,42,42,126,84,84,84,84,84,84,84,252,168,336,336,84,84,168,168,168,168,
336,336,42,84,84,336,336,336,336,336,336,336,168,336,168,336,336,336,336,168,
168,168,512,112,112,224,224,112,112,112,112,224,672,448,224,224,224,224,224,
224,224,896,112,112,112,224,224,224,224,224,224,224,224,224,448,224,448,224,
224,448,448,21,21,42,42,126,42,42,42,84,84,84,168,168,336,84,21,42,21,21,21,
42,42,84,84,84,168,84,84,168,7,63,84,252,14,42,42,14,42,126,42,84,42,84,84,84,
84,84,84,84,84,84,168,168,168,168,336,336,14,28,28,168,84,84,84,84,84,84,168,
168,168,504,168,336,42,42,42,42,42,42,84,84,42,126,42,42,84,84,84,84,252,168,
84,84,84,84,42,42,42,42,84,168,336,168,42,42,84,42,42,42,42,42,84,84,84,84,
168,168,21,63,42,84,84,42,126,84,42,84,84,84,84,84,84,84,252,168,168,168,84,
42,84,84,168,21,42,28,28,56,56,168,168,84,84,84,84,84,84,42,42,84,84,42,42,84,
84,42,42,84,84,84,84,84,84,84,84,42,42,84,84,84,84,84,42,42,84,84,84,84,84,84,
84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,
84,84,84,168,84,84,168,84,168,168,168,168,168,168,168,168,336,336,168,168,168,
168,84,168,84,168,84,84,84,84,84,84,168,112,336,84,56,112,224,112,112,224,224,
112,224,224,224,224,224,224,224,112,112,224,112,112,224,224,224,224,224,224,
224,224,224,112,224,224,224,448,448,64,128,384,1,7,14,14,28,42,42,42,42,42,84,
84,63,21,42,84,84,84,84,84,84,42,42,42,84,84,84,84,42,84,63,21,42,84,84,42,84,
84,84,7,7,14,14,14,28,42,42,84,21,21,42,42,21,21,42,42,42,42,84,42,42,42,42,
42,42,84,84,84,84,84,84,84,84,42,42,84,21,42,42,21,21,42,84,84,84,168,168,168,
168,168,168,168,168,84,84,84,84,84,42,42,84,84,84,84,84,42,42,84,84,42,42,84,
84,84,84,84,42,42,84,84,42,42,84,84,84,84,84,42,84,84,84,84,84,84,84,84,84,84,
84,84,84,84,84,84,84,84,112,112,28,84,56,112,112,56,112,28,28,56,56,28,56,112,
224,112,112,224,112,112,56,56,21,21,42,7,14,21,42,42,84,21,42,42,21,21,21,42,
42,42,42,42,21,21,42,42,21,42,42,84,84,42,42,42,84,84,84,84,84,42,84,84,42,42,
84,64,64,128,64,128,7,28,56,56,112,28,28,56,56,28,56,56,56,56,28,28,28,28,56,
56,28,56,112,112,56,56,112,7,21,7,21,42,42,21,21,21,42,42,7,7,14,7,14,28,28,
56,56,28,8,21,7,7,14,14,7,7,8,16,16,8,8,7,7,1],[1,15,30,90,240,320,80,35,15,
45,180,180,180,180,360,60,180,360,180,180,360,480,60,360,720,576,80,240,1280,
480,240,960,480,15,45,45,120,90,90,360,120,120,60,120,180,60,60,120,180,180,
360,180,180,180,60,180,360,360,720,180,180,180,360,720,720,720,720,180,90,90,
360,90,360,360,360,360,360,180,120,360,160,576,20,400,240,720,120,80,240,240,
240,480,480,240,960,240,240,1,15,30,45,15,45,180,180,15,45,90,90,90,180,30,45,
45,45,90,180,45,90,90,180,360,180,90,180,135,180,360,90,90,90,90,180,180,360,
180,45,90,90,360,360,360,360,360,360,360,360,360,180,180,360,360,180,180,180,
360,360,360,360,160,320,320,576,20,60,120,120,120,120,120,960,480,480,60,240,
240,480,120,120,120,120,240,80,240,120,240,240,240,240,240,15,45,90,90,180,15,
45,60,90,45,45,45,90,90,180,360,180,15,45,45,45,90,90,180,60,180,30,90,45,90,
90,90,135,45,90,45,90,90,180,90,90,90,90,90,180,90,180,90,180,90,90,180,180,
180,180,180,180,360,80,160,160,160,20,60,20,60,120,180,60,60,120,120,120,120,
120,120,120,60,120,240,240,240,60,60,120,120,120,240,96,288,96,15,45,90,15,45,
45,45,45,90,60,90,90,90,90,60,45,45,45,45,90,90,90,90,90,90,90,90,90,90,90,90,
90,90,80,80,80,160,36,80,120,15,60,20,60,120,60,60,60,60,120,60,60,60,120,120,
96,96,96,15,15,45,45,45,45,45,90,90,90,90,10,80,36,15,15,15,60,15,15,15,15,15,
60,60,60,45,10,20,20,36,16,16,15,30,15,15,15,15,15,15,15,10,10,10,16,16,15,15,
6,6,10,6,6,1,1],[1,105,210,56,560,315,105,105,70,630,420,630,1260,336,560,560,
1680,840,1680,960,15,15,315,105,210,630,630,630,1260,1260,315,315,315,630,210,
280,336,280,280,70,420,420,420,280,1680,840,840,336,35,315,630,315,315,315,
315,315,630,630,280,560,560,1008,960,420,420,420,420,420,420,840,840,420,210,
420,420,420,840,840,336,315,105,105,105,315,315,315,280,280,280,280,35,35,70,
420,420,420,210,210,120,120,56,168,336,315,280,280,35,35,105,105,105,105,105,
210,168,168,35,120,120,120,120,120,56,105,105,105,35,35,35,28,56,35,28,15,15,
8,1],[1,15,98,294,168,448,35,49,147,588,588,252,252,504,98,98,84,294,294,252,
336,1176,1176,56,168,252,504,504,1008,224,196,252,504,504,1008,672,448,1344,
896,1344,896,512,15,14,8,294,336,392,56,588,784,1176,21,63,84,294,294,294,294,
168,168,392,392,1176,1176,1176,252,252,252,252,504,504,504,504,1008,147,147,
392,126,126,504,56,56,42,56,168,168,168,336,504,504,1008,504,504,504,196,588,
504,252,252,504,504,504,504,1008,1008,336,336,672,504,504,504,504,1008,1008,
1008,1008,2016,168,504,504,504,504,1008,672,672,672,672,126,126,252,252,252,
504,1008,1008,168,168,126,126,126,504,294,252,252,252,252,168,168,1008,336,
168,336,336,336,1008,168,56,112,112,168,336,112,224,336,336,224,224,224,448,
448,1344,1344,896,896,448,448,448,512,1,1,7,98,98,294,294,1176,1176,21,21,49,
147,588,588,28,84,168,252,252,504,504,126,126,252,504,504,49,14,63,14,126,504,
504,49,63,126,42,7,21,28,42,126,126,42,252,84,504,504,63,63,42,42,252,252,252,
252,252,168,14,42,28,28,14,42,42,42,42,42,84,84,84,168,126,252,252,84,84,84,
84,84,84,126,126,252,252,252,294,294,84,84,168,84,84,252,252,252,252,84,168,
1008,1008,168,168,168,168,336,336,336,336,126,252,252,168,336,42,42,126,126,
252,84,504,504,252,252,252,252,504,504,252,252,252,252,168,504,168,168,504,
168,336,336,126,126,252,126,168,336,42,42,84,252,252,252,252,504,504,1008,
1008,1008,1008,252,252,252,252,168,168,504,504,504,504,504,504,168,168,1008,
1008,1008,1008,336,336,294,294,42,126,252,252,168,126,126,252,504,504,126,126,
126,252,252,252,252,252,252,252,84,84,168,1008,1008,252,252,168,168,168,168,
1008,1008,126,126,252,252,1008,1008,336,336,336,336,336,168,336,56,168,336,
336,336,336,504,504,504,504,168,168,168,168,168,336,336,336,336,512,112,336,
224,224,336,336,336,336,224,224,672,672,448,224,224,224,224,224,224,224,448,
336,336,336,672,224,672,224,224,224,224,224,224,224,224,448,224,672,448,448,
224,672,672,448,448,448,448,448,448,448,7,21,28,126,126,42,42,126,126,252,252,
84,504,504,1008,252,252,49,63,42,63,126,63,63,63,42,42,252,252,252,504,252,
252,168,49,63,84,252,98,294,42,98,294,126,126,42,42,84,126,126,252,252,84,84,
252,252,252,84,84,84,168,168,168,168,336,336,42,42,84,84,56,252,252,252,252,
252,252,168,504,504,168,168,336,126,126,42,126,42,126,252,84,252,504,504,1008,
126,126,126,126,252,252,252,252,504,84,84,168,252,252,252,252,126,126,126,126,
252,252,168,336,168,42,126,42,42,84,84,147,126,42,42,42,126,126,126,84,84,252,
504,252,168,168,21,21,42,252,252,42,42,84,126,252,252,252,252,252,252,252,84,
84,504,504,168,252,252,63,126,252,84,168,63,126,84,252,84,252,28,56,56,168,
168,84,84,84,84,252,84,84,84,84,126,42,126,42,42,84,84,42,42,84,126,126,252,
84,84,84,126,126,42,42,84,84,84,84,84,84,84,84,84,252,126,126,42,42,252,84,84,
84,84,84,84,42,126,126,42,42,84,84,84,56,84,84,84,84,252,252,252,252,84,84,84,
84,84,84,168,84,84,84,84,168,84,84,84,84,168,84,84,84,252,84,84,252,252,252,
84,84,168,84,84,84,84,84,84,168,84,84,252,84,84,252,84,84,84,84,84,252,252,
504,168,252,252,252,252,84,252,252,84,168,504,504,84,84,168,168,168,168,168,
168,168,168,336,336,168,168,168,168,504,84,84,168,84,168,84,252,84,252,84,84,
84,84,84,84,168,168,168,168,168,168,504,168,168,168,336,512,28,28,112,224,336,
336,112,224,112,112,224,224,336,336,224,224,224,224,224,224,224,112,112,224,
336,336,336,336,224,672,672,672,672,224,224,224,224,224,224,224,224,224,112,
224,224,112,112,112,224,224,112,112,112,224,224,224,224,224,672,224,448,448,
672,224,448,64,64,7,7,14,14,14,28,42,49,63,126,126,126,126,42,84,84,21,21,42,
28,252,252,252,252,84,126,252,126,126,126,252,252,252,252,126,84,49,21,21,42,
63,28,84,252,126,42,84,84,84,21,21,7,7,21,14,14,14,28,42,42,126,42,42,84,63,
63,21,21,21,42,42,21,21,42,42,42,42,42,84,63,63,126,42,42,42,126,21,21,21,42,
42,42,42,42,42,42,42,126,126,126,126,252,84,84,84,84,84,84,84,84,21,42,42,126,
126,42,42,84,63,126,126,63,63,126,28,28,252,84,252,252,252,84,84,84,84,84,84,
252,252,252,252,168,168,168,168,168,168,168,168,84,84,84,84,84,84,84,28,84,84,
84,28,84,84,84,28,42,42,42,42,126,42,84,84,252,84,84,126,42,84,126,126,42,42,
42,84,84,126,252,42,42,84,84,84,84,84,126,42,42,126,42,126,42,42,84,84,126,42,
42,84,84,168,84,126,84,84,252,42,126,84,84,84,84,84,84,84,84,84,84,84,84,84,
84,168,84,84,84,84,252,252,84,84,252,252,84,84,84,84,84,84,84,84,84,84,84,84,
252,84,84,84,84,84,84,252,84,84,84,168,84,84,84,84,84,84,84,84,168,84,84,84,
84,84,84,84,84,168,168,28,84,28,28,56,56,56,28,84,84,56,56,84,28,56,112,112,
224,336,336,112,112,224,56,56,112,112,112,112,112,112,112,112,112,112,112,224,
112,224,112,112,112,224,224,224,64,64,1,7,7,21,63,42,21,42,63,7,7,21,42,42,42,
21,42,14,14,42,42,42,42,42,84,126,21,21,42,21,21,42,42,42,42,42,63,21,21,63,
42,42,21,21,21,21,21,21,21,21,42,63,63,42,42,42,42,42,126,42,63,21,63,21,21,
42,42,63,126,42,126,42,42,126,84,84,42,42,42,42,42,126,42,252,84,84,84,84,126,
42,84,126,42,42,42,126,84,84,42,42,42,42,42,42,42,42,84,42,42,42,42,42,42,42,
42,42,42,42,42,84,126,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,
84,84,64,64,64,64,64,28,28,56,168,56,56,112,28,28,28,28,28,28,84,84,28,28,56,
56,84,84,84,84,56,56,56,56,28,28,28,28,28,56,56,84,84,28,28,28,28,28,28,28,28,
28,28,28,28,56,56,56,56,56,112,168,112,112,112,7,7,21,21,21,21,21,21,21,21,21,
63,63,21,21,42,42,21,21,21,21,21,21,21,63,21,63,21,42,42,21,21,21,21,21,21,21,
21,21,42,42,42,42,42,42,42,42,42,42,42,42,64,64,64,64,64,64,28,28,28,28,28,28,
28,28,28,28,28,28,28,28,28,28,28,28,84,28,84,56,56,28,28,28,28,28,28,28,28,28,
28,28,28,28,28,56,56,56,56,56,56,21,21,7,7,21,21,21,21,21,21,21,21,21,21,21,7,
7,28,28,28,28,28,8,21,8,8,7,7,7,7,7,7,8,8,8,8,8,7,7,1],[1,15,98,294,168,448,
35,49,147,588,588,252,252,504,42,42,196,126,126,588,784,504,504,56,168,252,
504,504,1008,224,196,252,504,504,1008,672,448,1344,896,1344,896,512,15,2,56,
42,48,56,392,84,112,168,49,147,196,126,126,126,126,392,392,168,168,504,504,
504,252,252,252,252,504,504,504,504,1008,147,147,392,126,126,504,56,56,42,56,
168,168,168,336,504,504,1008,504,504,504,196,588,504,588,588,168,168,168,168,
336,336,1008,1008,2016,504,504,504,504,1008,1008,1008,1008,2016,168,504,504,
504,504,1008,672,672,672,672,294,294,588,252,252,504,1008,1008,168,168,126,
126,126,504,294,84,84,84,84,504,504,336,1008,168,336,336,336,1008,168,56,112,
112,392,336,112,896,112,112,672,672,224,448,448,1344,1344,896,896,448,448,448,
512,1,7,49,14,14,42,42,168,168,49,49,21,63,252,252,28,84,168,252,252,504,504,
126,126,252,504,504,49,14,63,14,126,504,504,49,63,126,42,49,147,196,126,42,42,
126,84,252,168,168,147,147,42,42,252,252,252,252,252,168,98,294,28,28,14,98,
42,42,42,42,84,252,252,504,126,252,252,252,252,252,252,84,84,126,126,252,252,
252,126,126,252,252,504,84,252,84,84,84,84,252,504,336,336,168,168,168,168,
336,336,336,336,126,252,252,168,336,126,126,42,42,84,252,168,168,252,252,252,
252,504,504,84,84,84,84,504,168,504,504,168,504,1008,1008,126,126,252,126,168,
336,294,294,588,252,252,252,252,504,504,1008,1008,1008,1008,84,84,84,84,504,
504,168,168,168,168,168,168,504,504,336,336,336,336,1008,1008,294,294,42,126,
252,252,168,126,126,252,504,504,294,294,294,588,588,588,84,84,84,84,252,252,
504,336,336,252,252,168,168,168,168,1008,1008,126,126,252,252,1008,1008,336,
336,336,336,336,168,336,392,1176,336,336,336,336,1176,1176,504,504,168,168,
168,168,168,336,336,336,336,512,112,336,224,224,112,112,112,112,672,672,224,
224,1344,224,224,224,224,224,224,224,896,336,112,112,224,672,224,672,224,224,
224,224,224,224,224,448,224,448,448,224,224,448,448,448,448,448,448,448,49,
147,196,42,42,126,126,42,42,84,84,252,168,168,336,252,252,49,63,42,63,126,147,
147,63,42,42,84,252,252,504,252,252,168,21,63,84,252,14,42,42,42,126,126,126,
126,126,252,126,126,84,84,252,252,84,84,252,84,84,84,168,168,168,168,336,336,
42,42,28,28,168,84,84,84,84,84,84,504,168,168,504,504,1008,42,42,126,42,126,
42,84,252,84,168,168,336,126,126,126,126,252,252,252,252,504,252,252,504,84,
84,84,84,126,126,126,126,252,252,168,336,168,42,126,42,42,252,252,63,126,42,
42,42,126,126,126,84,84,84,168,252,168,168,63,63,126,84,84,126,126,252,42,84,
84,84,84,84,84,84,252,252,168,168,504,252,252,63,126,252,84,168,63,42,84,252,
196,588,28,56,56,168,168,588,588,84,84,252,84,84,84,84,126,42,126,126,126,84,
84,126,126,252,126,126,252,252,252,84,126,126,126,126,252,84,84,84,84,84,84,
84,84,252,126,126,42,42,252,252,252,84,84,84,84,42,294,126,294,294,588,84,84,
392,84,84,84,84,252,252,252,252,84,84,84,84,252,252,504,84,84,252,252,504,252,
252,252,252,504,84,84,84,252,84,84,252,252,252,252,252,504,84,84,84,84,252,
252,504,84,84,252,84,84,252,84,252,252,252,252,252,252,168,168,252,252,252,
252,252,84,84,252,504,168,168,252,252,168,168,168,168,168,168,168,168,336,336,
168,168,168,168,168,84,84,168,84,168,84,252,84,252,84,84,84,84,252,252,168,
168,168,168,168,168,168,168,168,168,336,512,112,336,84,56,112,112,112,112,224,
112,112,224,224,336,336,224,224,224,224,224,224,224,112,112,224,112,112,112,
112,672,224,224,224,224,672,224,224,224,224,224,224,224,224,112,224,112,112,
112,224,112,112,112,224,224,224,224,224,448,448,224,448,64,128,384,1,7,14,14,
14,28,42,21,63,126,42,126,126,42,84,84,63,63,126,84,84,84,84,84,252,42,84,42,
126,126,84,84,84,84,126,84,7,63,63,126,21,84,252,84,42,42,84,84,84,21,49,7,49,
147,14,14,14,28,42,42,126,42,42,84,63,63,21,63,63,42,42,63,63,126,42,42,42,42,
84,63,63,126,42,126,126,126,21,63,63,126,126,126,126,126,126,126,126,126,126,
42,42,84,84,84,84,84,84,84,84,84,21,126,126,42,126,42,42,84,21,42,42,63,63,42,
28,84,84,252,84,84,84,252,252,252,252,252,252,252,252,252,252,168,168,168,168,
168,168,168,168,84,252,252,84,84,84,84,84,252,252,252,28,84,252,252,196,126,
126,126,126,42,42,84,84,84,84,84,42,42,84,126,126,42,126,126,84,84,126,252,42,
42,84,84,84,84,84,126,42,42,126,42,126,126,126,84,84,126,42,42,252,252,504,84,
126,84,84,252,42,42,84,84,84,84,84,84,84,84,84,84,84,84,252,252,504,84,84,84,
84,252,252,84,84,252,252,84,84,84,84,84,84,84,84,84,84,84,84,252,84,84,84,84,
84,84,252,84,84,84,168,84,252,252,252,84,84,84,84,168,84,84,84,84,84,84,84,84,
168,168,112,336,84,84,168,112,112,56,112,28,28,56,56,84,56,112,112,224,112,
112,112,112,224,112,112,168,168,112,112,112,112,112,112,112,112,112,112,112,
224,112,112,112,112,224,224,64,7,1,21,63,21,42,21,14,21,7,21,63,126,126,126,
21,126,14,42,126,42,42,42,42,84,126,21,21,42,63,63,126,42,126,126,42,21,63,63,
21,42,42,21,21,63,63,63,21,63,63,126,21,21,42,42,42,42,42,42,42,63,21,63,63,
63,42,42,21,42,42,42,126,126,42,84,84,42,126,126,126,126,42,42,84,84,84,84,84,
42,42,84,126,126,126,126,42,84,84,42,42,42,42,42,42,42,42,84,42,42,42,42,42,
42,42,42,42,126,42,42,84,126,84,84,84,84,252,252,84,84,84,84,84,84,84,84,84,
84,84,84,84,84,64,64,128,64,128,7,28,56,56,56,112,28,28,28,84,84,56,56,28,28,
56,56,56,56,28,28,28,28,28,56,56,28,28,28,28,28,28,84,28,168,168,112,112,56,
56,56,112,112,112,112,7,7,7,21,7,21,21,21,21,21,21,21,21,63,63,42,42,21,63,63,
21,21,63,21,21,21,21,21,42,42,21,21,21,21,21,21,21,21,63,42,42,42,42,42,42,42,
42,42,126,126,42,64,64,64,7,21,14,21,14,28,84,28,28,28,28,28,28,28,28,28,28,
56,56,28,28,28,28,28,28,28,28,28,56,56,56,56,8,7,21,21,7,21,21,21,21,21,21,21,
21,21,21,21,7,7,21,21,14,14,7,7,7,7,28,28,28,8,21,8,16,16,8,8,7,7,7,7,7,7,7,7,
7,7,8,8,8,7,7,1,1],[1,15,420,560,560,35,140,420,630,840,630,2520,2016,3360,
3360,1680,1680,960,15,105,210,420,630,1260,2520,2520,315,630,1260,420,210,
1260,1120,2016,140,140,560,700,560,1680,840,560,560,1680,1680,1680,1680,960,1,
35,105,105,315,315,630,1260,315,630,1260,630,630,1260,1260,1120,2016,960,840,
840,840,2520,840,1680,1680,1680,420,840,420,420,840,420,1680,1680,105,105,630,
105,315,315,315,315,630,630,630,560,560,1120,960,35,140,35,140,140,140,420,
420,840,420,420,420,420,420,420,840,420,420,120,336,1008,672,35,105,315,315,
315,315,315,560,560,126,210,420,210,105,105,105,420,420,420,420,420,120,336,
336,315,70,140,126,120,240,120,35,35,35,35,105,105,105,105,105,105,105,70,140,
126,120,120,120,112,112,105,105,105,105,105,35,70,21,42,35,15,21,16,15,15,7,
1],[1,15,210,630,840,896,2240,35,105,315,1260,1260,1260,1260,2520,210,210,420,
630,630,1260,1680,2520,2520,280,840,1260,2520,2520,5040,3360,420,1260,2520,
2520,5040,10080,5376,2240,6720,8960,13440,6720,13440,13440,7680,15,30,120,630,
720,840,840,1260,1680,2520,105,315,420,630,630,630,630,840,840,840,840,2520,
2520,2520,1260,1260,1260,1260,2520,2520,2520,2520,5040,315,315,840,630,630,
2520,840,840,210,840,840,840,840,1680,2520,2520,5040,2520,2520,2520,420,1260,
2520,1260,1260,2520,2520,2520,2520,5040,5040,5040,5040,10080,2520,2520,2520,
2520,5040,5040,5040,5040,10080,2520,2520,2520,2520,2520,5040,10080,10080,
10080,10080,630,630,1260,1260,1260,2520,5040,5040,2520,2520,630,630,630,2520,
630,1260,1260,1260,1260,2520,2520,5040,5040,2520,5040,5040,5040,5040,840,840,
1680,1680,840,5040,4480,5376,560,1120,4480,1120,1120,3360,1680,1680,3360,3360,
3360,2240,4480,6720,6720,6720,13440,13440,6720,13440,6720,13440,6720,7680,
5376,1,15,105,210,210,630,630,2520,2520,105,105,105,315,1260,1260,140,420,840,
1260,1260,2520,2520,630,630,1260,2520,2520,105,210,315,70,630,2520,2520,105,
315,630,630,105,315,420,630,630,630,630,1260,1260,2520,2520,315,315,630,630,
1260,1260,1260,1260,1260,2520,210,630,420,420,210,210,210,210,630,630,1260,
1260,1260,2520,630,1260,1260,1260,1260,1260,1260,1260,1260,630,630,1260,1260,
1260,630,630,1260,1260,2520,1260,1260,1260,1260,1260,1260,1260,2520,5040,5040,
2520,2520,2520,2520,5040,5040,5040,5040,630,1260,1260,2520,5040,630,630,630,
630,1260,1260,2520,2520,1260,1260,1260,1260,2520,2520,1260,1260,1260,1260,
2520,2520,2520,2520,2520,2520,5040,5040,630,630,1260,630,2520,5040,630,630,
1260,1260,1260,1260,1260,2520,2520,5040,5040,5040,5040,1260,1260,1260,1260,
2520,2520,2520,2520,2520,2520,2520,2520,2520,2520,5040,5040,5040,5040,5040,
5040,630,630,630,630,1260,1260,2520,630,630,1260,2520,2520,630,630,630,1260,
1260,1260,1260,1260,1260,1260,1260,1260,2520,5040,5040,1260,1260,2520,2520,
2520,2520,5040,5040,630,630,1260,1260,5040,5040,5040,5040,5040,5040,5040,2520,
5040,840,2520,5040,5040,5040,5040,2520,2520,2520,2520,2520,2520,2520,2520,
2520,5040,5040,5040,5040,4480,8960,8960,16128,7680,560,1680,3360,3360,1680,
1680,1680,1680,3360,3360,3360,3360,6720,3360,3360,3360,3360,3360,3360,3360,
6720,6720,13440,6720,6720,1680,1680,1680,3360,3360,3360,3360,3360,3360,6720,
3360,3360,3360,3360,3360,3360,3360,6720,3360,3360,3360,2240,6720,3360,3360,
3360,6720,6720,6720,6720,6720,13440,6720,6720,5376,105,315,420,630,630,630,
630,630,630,1260,1260,1260,2520,2520,5040,1260,1260,105,315,630,315,630,315,
315,315,630,630,1260,1260,1260,2520,1260,1260,2520,105,315,420,1260,210,630,
210,210,630,630,630,630,630,1260,630,630,1260,1260,1260,1260,1260,1260,1260,
1260,1260,1260,2520,2520,2520,2520,5040,5040,210,210,420,420,840,1260,1260,
1260,1260,1260,1260,2520,2520,2520,2520,2520,5040,630,630,630,630,630,630,
1260,1260,1260,2520,2520,5040,630,630,630,630,1260,1260,1260,1260,2520,1260,
1260,2520,1260,1260,1260,1260,630,630,630,630,1260,1260,2520,5040,2520,210,
630,630,630,1260,1260,315,630,630,630,630,630,630,630,1260,1260,1260,2520,
1260,2520,2520,315,315,630,1260,1260,630,630,1260,630,1260,1260,1260,1260,
1260,1260,1260,1260,1260,2520,2520,2520,1260,1260,315,630,1260,1260,2520,315,
630,420,1260,420,1260,420,840,840,2520,2520,1260,1260,1260,420,1260,1260,1260,
1260,1260,630,630,630,630,630,1260,1260,630,630,1260,630,630,1260,1260,1260,
1260,630,630,630,630,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,630,
630,630,630,1260,1260,1260,1260,1260,1260,1260,630,630,630,630,630,1260,1260,
1260,840,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,
1260,2520,1260,1260,1260,1260,2520,1260,1260,1260,1260,2520,1260,1260,1260,
1260,1260,1260,1260,1260,1260,1260,1260,2520,1260,1260,1260,1260,1260,1260,
2520,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,2520,
2520,1260,1260,1260,1260,1260,1260,1260,1260,2520,2520,2520,1260,1260,2520,
2520,2520,2520,2520,2520,2520,2520,5040,5040,2520,2520,2520,2520,2520,1260,
1260,2520,1260,2520,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,2520,
2520,2520,2520,2520,2520,2520,2520,2520,2520,5040,2240,4480,4480,4480,4480,
7680,56,140,560,1680,420,280,280,560,1120,1120,1120,3360,1680,1680,1680,3360,
1680,1680,3360,3360,840,1680,1680,3360,3360,3360,3360,3360,3360,3360,1680,
1680,3360,1680,1680,1680,1680,3360,3360,3360,3360,3360,3360,3360,3360,3360,
3360,3360,3360,3360,3360,1680,3360,3360,3360,3360,3360,1680,1680,1680,3360,
3360,3360,3360,3360,1680,1680,1680,3360,3360,3360,3360,3360,3360,3360,6720,
6720,3360,3360,6720,960,960,1920,5760,896,2688,2688,5376,15,35,70,210,210,420,
210,105,315,630,630,630,630,630,1260,1260,315,315,630,420,1260,1260,1260,1260,
1260,630,1260,630,630,630,1260,1260,1260,1260,630,1260,105,315,315,630,315,
420,1260,1260,630,630,1260,1260,1260,105,105,105,105,315,210,210,210,420,210,
210,630,630,630,1260,315,315,315,315,315,630,630,315,315,630,630,630,630,630,
1260,315,315,630,630,630,630,630,315,315,315,630,630,630,630,630,630,630,630,
630,630,630,630,1260,1260,1260,1260,1260,1260,1260,1260,1260,315,630,630,630,
630,630,630,1260,315,630,630,315,315,630,420,420,1260,1260,1260,1260,1260,
1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,2520,2520,2520,2520,2520,
2520,2520,2520,1260,1260,1260,1260,1260,1260,1260,420,1260,1260,1260,420,1260,
1260,1260,420,630,630,630,630,630,630,1260,1260,1260,1260,1260,630,630,1260,
630,630,630,630,630,1260,1260,630,1260,630,630,1260,1260,1260,1260,1260,630,
630,630,630,630,630,630,630,1260,1260,630,630,630,1260,1260,2520,1260,630,
1260,1260,1260,630,630,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,
1260,1260,1260,2520,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,
1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,
1260,1260,1260,1260,1260,1260,1260,2520,1260,1260,1260,1260,1260,1260,1260,
1260,2520,1260,1260,1260,1260,1260,1260,1260,1260,2520,2520,2240,4480,2240,
2240,4480,336,140,420,560,1680,420,420,840,560,840,1680,1680,840,1680,1680,
420,420,420,840,840,420,420,840,840,560,1680,3360,1680,1680,1680,1680,3360,
840,840,1680,1680,840,840,840,1680,1680,1680,1680,1680,1680,1680,1680,1680,
3360,3360,1680,1680,1680,3360,1680,3360,3360,1680,1680,1680,1680,3360,3360,
3360,960,960,2688,2688,2688,15,15,105,315,315,630,105,210,315,105,105,315,630,
630,630,315,630,210,210,630,630,210,630,630,1260,630,315,315,630,315,315,630,
630,630,630,630,315,315,315,315,630,630,315,315,315,315,315,315,315,315,630,
315,315,630,630,630,630,630,630,630,315,315,315,315,315,630,630,315,630,630,
630,630,630,630,1260,1260,630,630,630,630,630,630,630,1260,1260,1260,1260,
1260,630,630,1260,630,630,630,630,630,1260,1260,630,630,630,630,630,630,630,
630,1260,630,630,630,630,630,630,630,630,630,630,630,630,1260,630,1260,1260,
1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,
1260,1260,1260,280,560,1120,2240,336,960,960,960,1920,960,960,1920,896,35,70,
140,280,420,280,280,280,840,840,840,1680,420,420,420,420,420,420,420,420,420,
420,840,840,840,420,420,420,420,840,840,840,840,420,420,420,420,420,840,840,
420,420,420,420,420,420,420,420,420,840,420,420,420,420,420,840,840,840,840,
840,1680,1680,840,840,840,840,840,840,1680,840,840,1680,1680,1680,336,35,105,
105,315,105,315,315,315,315,315,315,315,315,315,315,630,630,315,315,315,315,
315,315,315,315,315,315,315,630,630,315,315,315,315,315,315,315,315,315,630,
630,630,630,630,630,630,630,630,630,630,630,280,560,1120,560,560,560,560,1008,
960,960,960,960,960,960,448,448,896,35,105,210,105,210,140,420,210,420,420,
420,420,420,840,420,420,420,420,420,420,420,420,420,420,420,420,420,420,420,
840,840,420,420,420,420,420,420,420,420,420,420,420,420,420,420,840,840,840,
840,840,840,840,840,840,120,336,105,315,105,105,315,315,315,315,315,315,315,
315,315,315,315,140,280,280,280,280,560,448,448,35,35,105,70,105,105,210,210,
105,105,105,105,210,210,420,420,420,420,420,120,120,56,168,336,315,140,140,
140,280,280,120,120,240,240,120,120,35,105,35,105,105,105,105,105,105,105,105,
105,105,210,168,168,35,140,128,120,120,120,120,120,120,120,56,105,105,105,35,
35,35,28,56,35,15,28,16,15,15,8,1]],
[1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,5,
6,6,6,6,6,6,6,7,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,9,10,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,14,15,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,18,18,18,20,21,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,30,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,36,36,36,36,
36,42,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,
48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,
48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,
48,48,48,48,56,56,56,56,60,60,60,60,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,72,72,72,72,72,80,96,96,96,96,96,96,96,96,
96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,
96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,
96,96,96,112,112,120,120,120,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,144,144,144,144,
160,168,168,168,168,168,168,168,180,192,192,192,192,192,192,192,192,192,192,
192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,
192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,
192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,
192,192,192,192,192,192,192,240,256,256,256,256,256,256,256,256,256,256,256,
256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,
256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,
256,256,288,288,288,288,288,288,288,320,336,336,336,336,336,336,360,360,360,
384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,
384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,
384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,448,480,512,
512,512,512,512,512,512,512,512,512,512,512,512,512,512,576,576,576,576,576,
576,720,720,768,768,768,768,768,768,768,768,768,768,768,768,768,768,768,768,
768,768,768,896,896,960,960,960,1024,1152,1152,1152,1152,1152,1344,1344,1344,
1344,1344,1344,1536,1536,1536,1536,1536,1536,1536,1536,1536,1536,1536,1536,
1536,1536,1920,1920,2304,2304,2520,2688,2688,2688,2688,2688,2688,2688,2880,
3072,3072,3072,4608,4608,4608,5760,5760,9216,10752,11520,20160,21504,21504,
40320,322560],
[1766,1763,1725,1675,1622,1608,1456,1759,1751,1712,1552,1545,1557,1556,1315,
1733,1729,1705,1675,1666,1557,1538,1320,1316,1713,1622,1558,1317,1317,953,
1269,1706,1578,1378,1377,1162,539,951,1456,943,860,493,943,502,493,863,1764,
1760,1747,1666,1663,1615,1639,1544,1470,1320,1752,1712,1706,1666,1674,1675,
1679,1635,1614,1615,1620,1316,1320,1320,1557,1556,1557,1556,1315,1319,1315,
1319,953,1712,1712,1615,1666,1673,1319,1638,1639,1737,1640,1621,1622,1622,
1469,1317,1317,953,1318,1318,1317,1706,1579,1373,1579,1579,1377,1378,1377,
1378,1075,1075,1006,1007,517,1377,1378,1378,1377,1075,1162,1162,1075,522,1421,
1373,1420,1374,1374,1074,539,539,539,539,1668,1671,1579,1542,1542,1376,978,
1075,1408,1409,1678,1679,1672,1407,1667,1556,1557,1570,1569,1408,1409,1075,
976,1410,987,966,967,1074,1648,1647,1504,1505,1641,1233,1242,951,1683,1594,
1239,1594,1593,1292,1538,1539,1296,1274,1269,1456,1239,943,943,943,493,493,
943,502,943,502,943,863,951,1766,1763,1751,1725,1727,1666,1679,1320,1316,1752,
1752,1753,1712,1551,1542,1741,1695,1622,1557,1556,1315,1317,1666,1666,1555,
1319,1319,1751,1725,1712,1755,1678,1317,1317,1751,1712,1665,1666,1752,1712,
1706,1666,1666,1666,1666,1542,1555,1319,1380,1712,1712,1666,1666,1542,1575,
1542,1551,1541,1317,1731,1671,1690,1690,1727,1730,1728,1737,1679,1679,1542,
1542,1542,1376,1678,1541,1541,1542,1542,1575,1548,1542,1542,1668,1668,1561,
1579,1542,1678,1667,1542,1542,1376,1542,1542,1542,1542,1542,1542,1542,1376,
978,978,1408,1398,1409,1399,967,967,966,966,1678,1541,1541,1402,987,1679,1679,
1679,1679,1542,1559,1407,1395,1542,1542,1542,1542,1376,1376,1557,1557,1556,
1556,1396,1319,1409,1408,1319,1397,976,976,1678,1667,1541,1678,1410,987,1668,
1671,1579,1542,1542,1542,1542,1376,1376,1075,978,1075,978,1556,1556,1557,1557,
1409,1409,1353,1352,1377,1319,1319,1378,1408,1408,1075,1075,1075,1075,976,976,
1667,1667,1679,1678,1561,1542,1410,1679,1679,1559,1407,1407,1667,1668,1668,
1579,1579,1579,1542,1542,1542,1542,1542,1542,1376,1075,1075,1542,1548,1409,
1409,1408,1408,1074,1074,1678,1678,1541,1541,1074,1074,966,967,967,966,987,
1410,987,1641,1312,1006,1006,1007,1007,1312,1312,1420,1420,1421,1421,1421,
1420,1451,1233,1233,1233,1233,1242,860,861,444,863,1683,1537,1269,1269,1539,
1538,1539,1538,1274,1274,1271,1270,906,1274,1274,1272,1273,1269,1269,1268,920,
919,468,918,917,1537,1539,1538,1270,1296,1271,1274,1291,1292,875,1268,1269,
1269,1272,1273,1274,1274,882,1269,1298,1299,1456,943,1305,1306,1304,939,940,
943,943,943,502,943,943,951,1752,1712,1706,1666,1666,1666,1666,1666,1666,1542,
1542,1555,1319,1319,1075,1542,1551,1751,1712,1666,1712,1665,1712,1712,1712,
1666,1666,1542,1542,1542,1376,1541,1541,1317,1753,1712,1705,1557,1733,1679,
1737,1726,1667,1667,1667,1668,1668,1579,1667,1678,1542,1542,1561,1542,1542,
1542,1541,1542,1542,1542,1409,1408,1409,1408,967,966,1732,1737,1695,1694,1619,
1556,1556,1557,1557,1556,1557,1409,1319,1319,1408,1409,976,1679,1679,1679,
1679,1679,1679,1542,1559,1542,1407,1407,978,1668,1668,1668,1668,1542,1542,
1579,1579,1376,1542,1542,1376,1542,1542,1542,1542,1667,1678,1678,1678,1541,
1541,1410,987,1410,1737,1678,1679,1679,1542,1548,1712,1667,1666,1666,1666,
1665,1668,1668,1556,1557,1542,1316,1541,1317,1317,1712,1712,1667,1542,1542,
1666,1666,1555,1679,1552,1542,1542,1542,1542,1556,1557,1557,1556,1319,1319,
1315,1551,1542,1712,1678,1541,1558,1317,1712,1666,1702,1586,1706,1579,1703,
1638,1639,1409,1408,1579,1579,1585,1691,1541,1542,1542,1542,1542,1667,1679,
1678,1671,1668,1542,1542,1668,1668,1579,1667,1678,1541,1542,1561,1542,1678,
1667,1679,1679,1559,1542,1542,1542,1542,1542,1542,1542,1542,1541,1678,1678,
1679,1679,1541,1542,1548,1542,1542,1542,1542,1679,1667,1678,1668,1671,1579,
1542,1542,1641,1584,1586,1587,1585,1541,1541,1541,1541,1542,1542,1542,1542,
1542,1542,1376,1542,1542,1542,1542,1376,1575,1542,1542,1542,1376,1542,1542,
1542,1541,1542,1542,1541,1541,1541,1542,1542,1376,1542,1542,1542,1542,1542,
1542,1376,1542,1542,1541,1542,1542,1541,1585,1579,1579,1579,1579,1579,1579,
1327,1418,1579,1579,1579,1579,1586,1587,1586,1587,1323,1407,1407,1579,1579,
1408,1409,1409,1408,1408,1409,1408,1409,1055,1058,1408,1408,1409,1409,1418,
1584,1585,1410,1584,1410,1578,1541,1542,1541,1542,1542,1542,1542,1542,1575,
1420,1420,1421,1421,1420,1421,1452,1421,1420,1452,1233,1456,1239,1242,1242,
1242,863,1758,1741,1685,1526,1704,1713,1717,1683,1594,1594,1593,1292,1539,
1538,1537,1269,1538,1539,1296,1274,1662,1537,1537,1268,1268,1269,1269,1269,
1269,1269,1538,1539,1274,1539,1538,1539,1538,1274,1271,1270,1270,1271,1296,
1274,1274,1273,1274,1273,1272,1274,1272,1537,1269,1291,1292,1298,1299,1537,
1539,1538,1296,1291,1292,1298,1299,1539,1538,1537,1304,1305,1305,1304,1305,
1306,1306,939,940,1304,1306,943,1603,1604,1464,947,1608,1310,1311,951,1764,
1759,1755,1727,1727,1690,1728,1753,1712,1667,1668,1678,1667,1666,1557,1556,
1712,1712,1667,1705,1556,1557,1557,1556,1557,1679,1552,1679,1668,1668,1542,
1542,1542,1542,1678,1558,1753,1712,1712,1667,1712,1705,1557,1552,1668,1666,
1558,1556,1557,1752,1752,1751,1751,1712,1725,1725,1731,1690,1730,1737,1678,
1679,1679,1542,1712,1712,1712,1712,1712,1666,1666,1712,1712,1667,1666,1666,
1666,1666,1542,1712,1712,1665,1666,1668,1668,1667,1712,1712,1712,1667,1667,
1667,1667,1667,1667,1667,1668,1668,1668,1674,1679,1552,1557,1557,1556,1557,
1556,1556,1556,1557,1712,1668,1668,1668,1668,1673,1678,1558,1712,1666,1666,
1712,1712,1666,1703,1702,1587,1586,1586,1586,1587,1579,1579,1579,1579,1579,
1579,1579,1579,1579,1579,1408,1409,1408,1408,1409,1409,1409,1408,1585,1579,
1579,1584,1585,1585,1584,1702,1586,1579,1579,1703,1585,1579,1579,1706,1667,
1667,1667,1667,1668,1668,1557,1556,1552,1557,1556,1668,1668,1558,1667,1678,
1679,1668,1671,1542,1542,1678,1541,1679,1679,1542,1542,1542,1542,1542,1678,
1679,1678,1667,1679,1678,1668,1671,1542,1542,1678,1679,1679,1542,1542,1376,
1542,1678,1542,1542,1541,1672,1675,1585,1586,1587,1584,1584,1585,1587,1586,
1542,1542,1542,1542,1542,1542,1376,1542,1542,1542,1542,1541,1541,1542,1542,
1541,1541,1587,1587,1586,1586,1586,1587,1585,1585,1585,1584,1584,1584,1541,
1542,1542,1542,1542,1542,1542,1541,1585,1586,1587,1418,1584,1579,1579,1579,
1585,1584,1586,1587,1418,1578,1584,1585,1586,1587,1578,1578,1578,1452,1452,
1456,1239,1456,1456,1242,1711,1741,1705,1685,1526,1704,1704,1618,1684,1619,
1527,1526,1615,1490,1528,1703,1702,1706,1638,1639,1705,1704,1622,1615,1683,
1537,1269,1539,1538,1538,1539,1274,1655,1619,1527,1526,1654,1618,1662,1537,
1539,1538,1537,1538,1539,1532,1538,1539,1291,1292,1537,1538,1539,1296,1537,
1298,1299,1538,1539,1537,1536,1304,1305,1306,1603,1604,1309,1310,1311,1763,
1764,1752,1712,1712,1666,1753,1733,1712,1751,1752,1712,1667,1667,1668,1712,
1668,1731,1730,1667,1668,1737,1679,1679,1542,1678,1712,1712,1668,1712,1712,
1667,1668,1667,1667,1668,1712,1712,1712,1712,1666,1666,1712,1712,1712,1712,
1712,1712,1712,1712,1667,1712,1712,1668,1666,1666,1666,1666,1665,1666,1712,
1712,1712,1712,1712,1666,1666,1712,1666,1668,1668,1667,1667,1679,1556,1557,
1678,1667,1667,1667,1667,1668,1668,1552,1557,1556,1556,1557,1668,1668,1558,
1668,1667,1667,1668,1679,1556,1557,1678,1679,1679,1678,1678,1678,1679,1679,
1548,1678,1679,1678,1679,1678,1678,1678,1679,1679,1667,1668,1668,1542,1667,
1584,1585,1587,1586,1579,1579,1585,1587,1586,1584,1587,1586,1585,1584,1584,
1586,1587,1585,1578,1575,1716,1685,1594,1456,1711,1601,1600,1602,1461,1603,
1604,1464,1608,1759,1755,1741,1713,1704,1717,1717,1717,1659,1657,1658,1477,
1702,1703,1702,1703,1704,1705,1705,1705,1704,1704,1615,1615,1622,1706,1706,
1702,1702,1638,1638,1639,1639,1706,1703,1703,1706,1706,1638,1639,1706,1702,
1703,1702,1703,1705,1704,1704,1705,1622,1703,1702,1705,1704,1706,1655,1618,
1618,1619,1619,1526,1527,1654,1662,1654,1655,1662,1661,1534,1660,1662,1537,
1538,1539,1711,1759,1751,1753,1712,1753,1712,1712,1712,1712,1712,1712,1712,
1712,1712,1712,1666,1666,1712,1712,1712,1712,1712,1712,1712,1712,1712,1712,
1712,1666,1666,1712,1712,1712,1712,1712,1712,1712,1712,1712,1679,1679,1678,
1678,1678,1678,1679,1679,1668,1667,1667,1668,1716,1685,1594,1684,1685,1685,
1683,1599,1600,1601,1602,1603,1604,1605,1686,1687,1608,1759,1753,1733,1753,
1733,1741,1704,1737,1701,1704,1705,1704,1705,1622,1702,1703,1704,1705,1706,
1706,1702,1703,1704,1705,1704,1705,1702,1706,1706,1638,1639,1703,1706,1706,
1704,1705,1703,1702,1703,1702,1706,1702,1703,1702,1703,1654,1655,1656,1657,
1658,1659,1660,1661,1662,1748,1711,1753,1712,1752,1751,1712,1712,1712,1712,
1712,1712,1712,1712,1712,1712,1712,1741,1717,1716,1716,1716,1685,1686,1687,
1759,1759,1751,1755,1753,1753,1733,1733,1753,1753,1753,1753,1737,1737,1702,
1703,1704,1705,1706,1748,1745,1758,1739,1711,1712,1741,1741,1741,1716,1717,
1749,1747,1720,1721,1746,1748,1759,1751,1759,1751,1752,1753,1752,1751,1753,
1753,1753,1753,1753,1737,1738,1739,1759,1741,1742,1743,1744,1745,1746,1747,
1748,1749,1758,1751,1752,1753,1759,1759,1759,1761,1758,1759,1764,1761,1762,
1763,1764,1765,1766],
[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,
7,7,6,7,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,3,3,3,
3,3,4,4,3,4,2,2,2,2,2,2,5,5,5,5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,2,2,3,3,2,1,1,38,8,25,25,8,25,26,22,18,17,16,31,1,1,1,7,7,7,7,7,6,7,
6,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,2,2,2,1,1,1,2,3,3,4,1,
2,2,2,1,2,1,3,3,2,2,2,2,2,2,2,3,3,4,2,3,3,3,3,3,3,4,4,4,3,3,3,3,5,5,5,5,2,2,2,
2,5,2,2,2,2,2,2,2,2,3,3,3,3,4,4,3,3,3,3,3,3,3,3,3,3,4,4,2,2,2,2,2,5,2,2,2,3,3,
3,3,4,4,3,4,3,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,3,3,3,3,3,3,4,3,3,2,2,3,3,3,3,2,2,2,2,2,2,2,2,5,5,5,5,5,2,5,2,2,
3,3,3,3,2,2,2,2,2,2,2,2,1,33,33,33,33,167,6,7,38,46,169,169,179,179,176,175,
176,175,178,178,175,176,177,178,178,175,176,179,179,169,172,170,171,174,173,8,
18,22,18,17,22,16,25,26,26,8,31,31,22,18,16,16,17,31,25,8,7,7,162,165,161,163,
164,43,43,43,44,2,7,38,2,2,2,3,3,3,3,3,3,3,3,4,3,3,3,3,4,2,2,2,2,2,2,2,2,3,3,
3,2,2,2,2,2,5,1,1,1,1,1,1,1,8,8,8,8,9,9,10,8,8,9,9,10,9,9,9,8,9,9,9,13,14,13,
14,14,13,8,8,16,16,18,16,16,16,16,16,16,21,16,16,18,21,21,9,9,9,9,9,9,9,10,9,
11,11,11,9,9,9,9,9,9,10,10,10,9,9,10,9,9,9,9,8,8,8,8,8,8,27,27,27,8,8,9,9,9,
10,2,2,3,3,2,2,2,2,3,3,3,4,2,5,5,2,2,2,2,2,3,3,4,2,2,3,3,3,3,3,3,3,3,3,3,4,4,
3,2,2,2,2,5,1,1,2,2,2,2,2,3,3,3,3,2,2,2,8,8,9,9,9,9,2,2,2,2,2,3,3,9,9,10,8,8,
8,9,10,9,8,8,9,9,10,9,9,9,9,9,9,9,9,8,8,8,9,9,8,9,10,9,9,9,9,2,2,2,2,2,2,3,3,
2,8,9,9,8,8,8,8,8,9,9,9,9,9,9,10,9,9,9,9,10,10,9,9,9,10,9,9,9,8,9,9,8,2,2,3,3,
4,3,3,3,3,2,2,2,3,3,2,2,2,2,8,10,10,9,9,8,8,10,10,9,10,10,9,9,9,9,9,10,11,11,
8,8,16,21,21,18,18,16,16,16,20,20,14,14,13,13,10,8,8,27,8,27,2,8,9,8,9,9,9,9,
9,10,33,33,33,33,33,33,4,33,33,4,33,8,25,167,167,167,46,194,209,209,210,205,
224,224,8,25,8,25,26,18,22,8,31,22,18,17,16,260,169,169,169,169,179,179,179,
179,179,175,176,178,176,175,176,175,178,175,176,176,175,177,178,178,176,178,
176,175,178,175,169,179,173,174,170,172,169,176,175,177,173,174,170,172,18,22,
8,496,494,494,496,162,165,165,163,164,161,165,43,47,49,48,51,948,949,950,193,
1,1,8,9,9,9,8,8,8,8,9,8,8,9,13,14,9,9,10,18,16,16,16,16,21,9,11,9,10,9,9,9,9,
9,8,27,8,9,9,10,8,18,21,11,10,9,27,14,13,2,2,2,2,2,3,3,9,9,8,8,8,9,9,9,2,2,2,
2,2,3,3,9,9,10,9,9,9,9,9,8,8,8,9,9,10,8,8,9,9,10,9,10,10,9,8,8,8,9,10,10,9,11,
16,20,18,21,20,16,14,13,8,9,10,10,8,10,8,27,2,3,3,2,2,3,47,57,63,58,63,63,63,
80,80,80,80,80,80,80,80,80,80,74,71,74,74,71,71,71,74,81,80,80,88,88,88,88,57,
58,80,80,47,81,80,80,2,9,9,10,10,8,10,13,14,11,21,18,10,8,27,8,8,9,9,10,9,9,8,
8,9,9,9,9,9,9,9,8,9,8,8,9,8,9,10,9,9,8,9,9,9,9,10,9,8,9,9,8,10,4,143,144,144,
143,47,81,57,58,9,9,9,9,9,9,10,9,9,9,9,8,8,9,9,8,8,57,63,58,63,63,63,88,88,81,
88,47,88,8,9,9,9,9,9,9,8,143,144,144,134,143,8,10,9,143,143,144,144,134,33,
143,143,144,144,33,33,33,134,134,858,859,169,180,441,194,865,865,866,867,868,
868,868,864,865,866,867,868,869,870,681,677,679,682,683,209,205,224,205,169,
169,179,176,175,175,176,178,194,209,209,210,224,205,260,471,472,473,169,175,
176,260,473,472,478,479,471,473,472,475,471,490,491,59,57,47,884,496,494,165,
47,49,948,949,950,2,47,57,58,81,83,8,16,9,47,57,58,80,80,80,81,80,221,203,203,
221,8,9,9,9,8,47,81,80,58,57,58,81,80,80,80,80,80,80,80,60,60,80,80,9,10,8,80,
57,58,58,81,47,81,83,83,58,57,81,83,8,9,8,9,10,9,9,80,60,80,80,80,80,63,74,71,
88,203,203,203,203,221,221,206,217,216,216,217,221,221,223,80,80,80,80,63,74,
71,88,57,58,47,81,143,144,144,134,143,144,143,144,143,88,88,63,63,80,80,9,9,8,
409,377,382,381,80,80,377,382,381,409,382,381,377,409,409,381,382,377,229,134,
194,209,224,858,1243,1458,1459,1460,1461,944,945,946,948,953,954,209,224,205,
194,224,954,958,955,956,957,677,681,1259,1258,868,865,865,865,868,868,868,868,
869,1260,1260,1259,1259,1261,1261,1262,1262,1260,1258,1258,679,679,682,683,
679,677,681,677,681,209,205,868,865,869,1258,1259,209,205,1260,864,868,868,
865,865,867,866,870,884,870,864,260,1008,1009,1010,884,471,473,472,194,8,9,
205,205,205,206,223,244,229,229,221,206,221,203,203,216,217,223,203,203,221,
221,80,80,221,223,206,203,217,216,205,206,223,229,244,203,221,229,80,382,381,
377,409,409,377,381,382,221,203,203,221,1453,1454,1455,864,866,865,871,1243,
1459,1458,1460,944,945,1605,1606,1607,1465,1466,1466,1466,953,953,865,868,954,
1467,868,865,1264,1263,1265,1259,1258,1264,1263,1260,1260,677,681,1264,1263,
540,542,1259,1260,1260,1261,1262,1258,679,1260,868,865,1258,1259,1258,1259,
1260,1259,1258,1259,1258,1279,1275,1473,1475,1476,1474,1010,1008,1281,952,
1243,540,541,203,221,526,524,529,1074,1074,1074,1074,541,540,524,526,953,954,
1453,1453,1453,1454,1606,1607,953,1541,1542,954,1466,1466,1466,1466,1466,953,
1466,953,1467,1467,1259,1258,1264,1263,1260,952,1312,1709,1710,1540,1074,1680,
1468,1466,1592,1681,1718,1719,1720,1721,1722,1663,1689,1690,1466,1690,1689,
1612,1541,1542,1612,1466,1318,1466,1612,1616,1709,1710,1541,1680,1742,1743,
1744,1708,1722,1719,1663,1718,1709,1690,1689,1612,1689,1740,1688,1757,1750,
1740,1760,1757,1762,1763,1760,1765,1766],
[( 1, 2)( 3,10)( 5,21)( 6,15)(11,18)(14,20)(16,24)(22,23),( 2,20,18,11,10)
( 4, 9,13, 7,23)( 5,17,24,21, 8)(12,15,16,22,19)],
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1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,4,4,1]]],[[[1,1,2,1],[2,1,3,1],[3,1,4,1,
2,1,1,1,4,1,3,1]]],[[[1,1,2,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,1,
2,1,1,1,2,1,4,1,3,-1,4,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1],[4,1,3,-1,4,
1]]],[[[1,1,2,-1,1,1,2,2,1,1,2,-1]]],[[[2,1]]],[[[2,1,1,1],[1,1,2,-1,3,-1,1,1,
2,1,1,1,3,1]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[4,1,3,-2,2,-1,5,2,4,-2,3,-1]],[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,2,2,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,3,2,2,1,4,-1]],[[1,1,2,1],[2,1,1,
1],[3,1,4,2,2,1,4,-1,3,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,2,-1]],[[
1,1,2,1],[1,1,2,-1,3,2,1,1,2,-1]]],[[[1,1,2,1],[1,1,2,-2],[4,1,3,1,4,1,3,
1]]],[[[2,1,1,1],[1,1,2,1,3,2,2,-2]]],[[[1,1,2,1],[3,2,2,1,1,1,3,-2,2,
-1]]],[[[1,1,2,1,1,1,2,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-2,2,-1,5,
2,4,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1,2,1,1,1]],[[1,1,2,1],[
2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,
-1]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]],[[2,1,1,1],[3,1,1,1,2,1,3,-1,2,
-1]]],[[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[2,2],[3,1,2,1,1,1,3,
1]],[[1,1,2,-2,1,1,2,2,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-2,2,-1,
5,2,4,-2,3,-1]],[[1,1,2,1],[1,1,3,-1,2,1,1,1,2,-1,3,1]],[[1,1,2,1],[2,1,1,1],[
1,1,2,-1],[5,2,3,1,2,1,4,-1,3,-1,4,1,5,-1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[4,1,
2,1,3,2,1,1,2,-1,5,-1,3,2,2,1,4,1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,
4,-1,3,-2,2,-1,5,1,4,-1,3,-2,2,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,2,
1,3,1,4,1,2,-2,3,1,4,-1,2,-1,4,-1,5,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,
1,4,-1,3,-1,2,-2,3,1,2,1,3,1,4,1,5,-1]],[[1,1,2,1],[3,-1,2,-2,3,1,2,1,3,1]],[[
1,1,2,1],[1,1,2,-1,3,-1,2,-1,3,-1,2,2,3,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,
1,2,-1],[2,1,4,-1,3,-1,4,1,5,-1,2,1,3,1,4,1,5,-1,2,2]],[[1,1,2,1],[2,1,1,1],[
2,2],[4,1,3,1,2,1,3,1,5,1,3,1,4,1,5,1]],[[1,1,2,1],[2,1,1,1],[2,2],[5,1,3,2,2,
1,4,1,5,-1,3,1,1,1,4,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[4,1,2,1,3,2,1,
1,2,-1,5,-1,3,2,2,1,4,1,5,1]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1,1,1,2,-1,3,1,2,
1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,2,1,3,1,4,1,2,-2,3,1,4,-1,2,-1,4,
-1,5,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,2],[3,2,4,1,5,-1,6,-1,5,1,2,-1,
3,1,4,-1,6,1]],[[1,1,2,1],[2,2],[4,1,3,2,2,1,1,1,2,-1,3,-2,4,-1]],[[1,1,2,1],[
2,1,1,1],[1,1,2,-1],[5,1,4,-2,3,-1,5,-1,3,-2,2,-1,4,-1]]],[[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[5,1,4,-2,3,-1,5,-1,3,-2,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,
2,-1,3,-2,4,1,2,2,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,2,2,2,1,1,2,1,4,1,3,
-1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,2,2,1,1,2,-1]],[[1,1,2,
1],[2,1,1,1],[4,1,3,-1,2,-2,3,1,2,1,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,
4,1,2,1,1,1,4,1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,4,1,2,2,
5,1,4,-1,3,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[5,1,3,2,4,-1,3,2,2,1,4,1,5,
-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-2,3,-1,5,-1,3,-2,2,-1,4,-1]]],[[[
1,1,2,1],[1,1,2,-1],[2,2],[4,1,2,-1,3,-2,5,-1,4,1,1,1,2,-1,1,1,3,-1,5,1]],[[1,
1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-2,2,-1,5,2,4,-2,3,-1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[2,2,5,1,4,-1,3,-1,2,-1,5,2,3,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,
1,2,1,3,3,1,1,4,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1,1,1,2,-1,3,1,2,
1]],[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,1,2,-1,3,-2,4,-1]]],[[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[4,1,5,1,3,1,2,1,1,1,5,1,2,2,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,
2,-1],[2,1,3,1],[2,1,4,2,5,-1,6,2,5,-1,4,2,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[
2,1,3,1],[4,1,3,-1,4,1,2,1,1,1,5,1,3,1,1,1,4,1,2,-2,5,-1]]],[[[1,1,2,1],[2,1,
1,1],[1,1,2,-1],[5,1,4,-1,3,-1,2,-1,3,2,4,1,5,-1]],[[1,1,2,1],[2,1,1,1],[4,1,
2,1,4,1,3,-1,4,1,3,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,
1,3,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-2,3,-1,5,-1,3,-2,2,-1,4,
-1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]],[[1,1,2,1],[2,1,
1,1],[4,1,2,-1,3,-2,4,1,2,2,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,
4,-1,3,-2,2,-1,5,1,4,-1,3,-2,2,2]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1,
2,1,1,1]],[[1,1,2,1],[2,1,1,1],[2,2],[3,2,2,1,4,1,5,-1,3,1,1,1,4,1,2,1,1,1,5,
1]]],[[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]],[[1,1,2,1],[2,1,
1,1],[3,1,2,1,4,-1,3,2,2,1,4,1]],[[1,1,2,1],[1,1,2,-1,3,-1,2,-1,3,-1,2,2,3,1,
2,1,1,1]]],[[[1,1,2,1],[1,1,2,-1],[3,1,2,1,3,1,2,1,1,1],[4,1,5,-1,4,1,5,
-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,1,4,-1,3,1,1,1,4,1]],[[1,1,2,1],[2,1,1,
1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,
2],[3,2,4,1,5,-1,6,-1,5,1,2,-1,3,1,4,-1,6,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[5,1,4,-2,3,-1,5,-1,3,-2,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[5,1,4,1,
2,1,3,3,1,1,4,1,2,1,1,1,5,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,
-1,2,-1,3,2,4,1,5,-1]],[[1,1,2,1],[2,2,3,1,1,1,2,-1,3,2,2,1]],[[1,1,2,1],[2,1,
1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,
1,3,1,4,1,2,2,5,1,4,-1,3,-2,2,-1]],[[2,1,1,1],[1,1,2,-1,3,-1,2,-1,1,1,2,1,3,
2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-2,2,-1,5,2,4,-2,2,-1]]],[[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,4,1,2,2,5,1,4,-1,3,-2,2,-1]],[[1,1,2,1],[1,1,
2,-1],[4,1,3,2,2,1,1,1,2,-1,3,-2,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,
3,-2,2,-1,5,2,4,-2,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,1,2,-1,3,-2,4,
-1]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1,1,1,2,-1,3,2]],[[1,1,2,1],[1,1,2,-2,3,-2,
2,1,3,2,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,1,3,1,1,1,2,-1,4,-1,
5,-1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,4,
-1,3,2,4,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-2,2,-1,5,2,4,-2,3,
-1]],[[1,1,2,1],[1,1,2,-1,1,1,2,-1,3,2]],[[2,1,1,1],[3,2,2,-2,1,1,2,2,3,-1,1,
1,2,-1]]],[[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1]],[[2,2],[3,1,2,1,1,1,3,1]],[[2,
1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]]],[[[1,1,2,1],[1,1,2,-2,3,-2,2,1,3,2,2,
1,1,1]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1,1,
1,2,-1,3,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,1]],[[1,1,2,-1,1,1,2,
1,1,1]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[4,1,3,-2,2,-1,5,2,4,-2,3,-1]],[[2,1,1,1],[3,2,2,-2,1,1,2,2,3,-1,1,1,2,
-1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,2,2,2,1,1,2,2,4,1,3,1]]],[[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[5,1,4,-1,3,-1,2,-1,3,2,4,1,5,-1]],[[2,2],[3,1,2,1,1,1,3,1]],[[
1,1,2,1],[1,1,2,-1],[2,1,1,1,3,2,2,1,4,2,3,1,2,1,3,1]]],[[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[5,1,4,-2,3,-1,5,-1,3,-2,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1,3,1,2,
1,3,1,1,1,2,-1,3,1,2,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,-2,4,1,3,
-1,2,-1,3,-1,5,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,-1,2,-1,3,2,
4,1,5,-1]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,
4,1,2,1,1,1,4,1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,2],[3,2,4,1,5,
-1,6,-1,5,1,2,-1,3,1,4,-1,6,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1,2,1,
1,1]],[[1,1,2,1],[2,1,1,1],[2,2],[5,1,4,1,2,1,3,3,1,1,4,1,2,1,1,1,5,-1]]],[[[
1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[3,
1,2,1,4,-1,3,2,2,1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1,2,1,1,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1,2,1,1,1]],[[1,1,2,1],[1,1,2,
-2,3,-2,2,1,3,2,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,1,2,-1,3,-2,4,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[5,1,4,1,2,1,3,3,1,1,4,1,2,1,1,1,5,-1]],[[1,
1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,4,2,2,1,4,-1,3,1,4,1,5,-1]],[[1,1,2,1],[
2,1,1,1],[2,2],[5,1,4,-1,3,-2,2,-1,3,2,2,1,4,1,5,-1]]],[[[1,1,2,1],[2,1,1,1],[
4,1,2,1,3,3,1,1,4,1,2,1,1,1]],[[1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,3,2,2,1]],[[
1,1,2,1],[2,1,1,1],[3,2,2,1,4,1,2,1,4,1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,
1,4,1,3,-2,4,1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,2,-1]],[[2,1,1,
1],[2,1,3,1,2,-1,1,1,3,2,2,2]]],[[[2,1,1,1],[1,1,2,-1],[3,1,2,1,3,1,2,-1,1,1,
4,-1,3,1,2,2,4,1]],[[1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,3,2,2,1]],[[1,1,2,1],[2,
1,1,1],[3,2,2,1,4,1,2,1,4,1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,
1,4,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,3,2,2,1,4,-1]],[[1,1,2,
1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,
3,-2,4,-1,3,1,1,1,4,1,2,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,1,4,
-1,5,1,3,1,4,2]],[[1,1,2,1],[2,1,1,1],[2,2],[4,1,2,1,3,2,5,1,3,1,4,1,5,
1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-2,2,-1,5,2,4,-2,2,-1]],[[1,1,2,
1],[1,1,2,-1,1,1,2,-1,3,2]],[[1,1,2,1],[2,2],[3,1,2,1,3,1,2,1,1,1],[4,1,5,1,4,
-1,5,-1]]],[[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,1,2,-1,3,-2,4,-1]],[[1,1,2,1],[2,
-1,1,1,2,-1,1,1,2,-1,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,1,2,1,4,1,3,
-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,1,4,-1,3,1,1,1,4,1]],[[1,1,2,1],[1,1,
3,-1,2,1,1,1,2,-1,3,1]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1,1,1,2,-1,3,1,2,
1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[5,1,4,1,5,1,3,1,1,1,2,-1,4,-1,1,1,3,-1,5,
1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-2,3,-1,5,-1,3,-2,2,-1,4,-1]],[[1,
1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,2,-2,1,1,2,-1,3,1,2,1,3,1,4,1]]],[[[1,1,2,1],[
2,1,1,1],[1,1,2,-1,3,-2,2,-1,4,-1,2,-2,4,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[3,1,
2,1,3,1,4,-1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,1,3,1,1,1,2,-1,4,
-1,5,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,-1,2,-1,3,2,4,1,5,
-1]],[[2,1,1,1],[2,2],[2,1,3,2,2,1,1,1,4,1,3,1,4,1,1,1,2,1]],[[1,1,2,1],[2,1,
1,1],[2,2],[5,1,3,1,4,1,5,1,4,1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,
1,4,-1,3,1,1,1,4,1]],[[2,1,1,1],[2,1,3,1,2,-1,1,1,3,2,2,2]],[[1,1,2,1],[2,1,1,
1],[4,1,2,1,4,1,3,-2,4,1,2,-1,4,-1]]],[[[1,1,2,1],[1,1,2,-1],[4,1,3,2,2,1,1,1,
2,-1,3,-2,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-1,3,2,4,1]],[[1,1,2,1],[
2,1,1,1],[4,1,2,1,3,3,1,1,4,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,
1,1,1,4,1,2,1,3,2]],[[2,1,1,1],[2,1,3,1,2,-1,1,1,3,2,2,2]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-2,3,1,4,-1,3,1,1,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,
1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,2,2,1,4,1]],[[1,1,2,1],[2,1,
1,1,3,1,2,1,3,1,1,1,2,-1,3,2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,3,2,1,3,2]],[[2,
1,1,1],[1,1,2,1,3,-1,2,-1,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,-1,4,
1,5,-2,4,2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1,2,1,1,1]]],[[[1,1,
2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-2,2,-1,5,2,4,-2,3,-1]],[[1,1,2,1],[1,1,2,
-1],[3,2,2,1,1,1,2,-1,4,2,3,1,2,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,4,4,
1]],[[1,1,2,1],[1,1,3,-1,2,1,1,1,2,-1,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[5,1,3,1,4,1,2,2,5,1,4,-1,3,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,1,2,
1,1,1,2,1,3,2,4,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,-1,2,-2,4,-1,3,1,4,-1,
2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,3,2,2,1,4,-1]]],[[[1,1,2,1],[
2,1,1,1],[4,1,2,2,3,1,2,1,1,1,2,1,4,-1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[4,1,5,1,3,1,1,1,2,-1,4,-1,5,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,
2,4,1]],[[1,1,2,1],[3,1,1,1,2,-1,1,1,2,-1,3,1]]],[[[1,1,2,1],[2,1,1,1,2,-1],[
4,1,3,-1,4,1,3,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1]]],[[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[5,1,4,-2,3,-1,5,-1,3,-2,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,
3,-2,2,-1,3,2,2,1,4,-1]]],[[[1,1,2,1],[1,1,2,-1],[4,2,3,1,1,1,2,-1,3,-1,2,-1,
3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,2,4,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[
1,1,2,-1],[4,1,3,-1,2,-2,5,2,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,
4,-1,3,-1,2,-1,3,-1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,1,4,-1,2,
-1]],[[2,1,1,1,2,2,1,1,2,2]]],[[[1,1,2,1],[1,1,2,-1],[2,1,1,1,2,2,3,1,4,-1,3,
-1,2,1,4,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,1,3,1,1,1,2,-1,4,-1,5,
-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,4,1,2,2,5,1,4,-1,3,-2,2,
-1]],[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,2,2,1,1,2,-1,3,1,2,1,3,1]],[[1,1,2,
1],[1,1,2,-1],[4,1,3,2,2,1,1,1,2,-1,3,-2,4,-1]]],[[[1,1,2,1],[1,1,2,-1],[4,1,
1,1,2,-1,3,-2,2,-1,3,-1,4,-1]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1]]],[[[1,1,2,
1],[1,1,2,-1,3,1,1,1,3,-1,2,1,1,1]],[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,
1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,-1,3,1,2,1,4,-2,1,1,2,-1]],[[1,1,
2,1],[1,1,2,-1],[4,1,3,2,2,1,1,1,2,-1,3,-2,4,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,
2,-1],[4,1,3,-2,2,-1,5,2,4,-2,3,-1]],[[1,1,2,1],[1,1,2,-1],[4,2,2,-1,3,1,4,1,
3,1,2,1,3,1]]],[[[1,1,2,1],[1,1,2,-1,3,-1,2,1,1,1,2,1,3,2]],[[2,1,1,1,2,1,1,1,
2,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-2,2,-1,5,2,4,-2,3,
-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,1,2,1,4,-2,5,3,3,1]]],[[[1,1,2,1],[2,
1,1,1],[1,1,2,-1],[4,1,3,-1,2,-2,5,2,4,-2,3,-1]],[[1,1,2,-1,1,1,2,1,1,1]]],[[[
1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-2,2,-1,5,2,4,-2,3,-1]],[[1,1,2,1],[1,1,
2,-1],[4,1,3,-2,2,-1,4,1,1,1,2,-1,1,1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,
2,-1,3,2,2,1,4,-1]],[[1,1,2,1],[2,1,3,1],[4,1,3,2,4,1,2,1,1,1]]],[[[1,1,2,1],[
2,1,1,1],[2,1,3,1],[5,1,4,2,5,1,3,1]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1]]],[[[
1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-2,3,-1,5,-1,3,-2,2,-1,4,-1]],[[2,1,1,
1],[1,1,2,-1],[3,1,2,-1,1,1,3,1],[5,1,4,-1,5,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[
1,1,2,-1],[5,1,3,1,4,1,2,2,5,1,4,-1,3,-2,2,-1]],[[2,1,1,1],[2,2,1,1,2,1,3,1,2,
1,1,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,2,1,4,2]],[[1,1,2,1],[2,2,3,1,
1,1,2,-1,3,2,2,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,3,2,1,3,2]],[[2,1,1,1],[1,1,
2,2,3,-1],[3,1,4,-1,3,1,4,-1]]],[[[2,1,1,1],[3,1,2,2,3,-1,2,-1,1,1,2,-1]],[[1,
1,2,1],[1,1,2,-1,3,2,1,1,2,-1]]],[[[1,1,2,1],[1,1,2,-1],[2,2,3,1,1,1,2,-1,4,1,
3,-1,2,1,4,-2]],[[2,1,1,1],[2,1,3,-1,2,-1,1,1],[4,1,3,1,4,1,3,1]]],[[[1,1,2,
1],[2,1,1,1],[2,1,3,2,4,-2,2,-1]],[[1,1,2,1],[3,1,1,1,2,-1,1,1,2,-1,3,1]]],[[[
1,1,2,1],[2,1,1,1],[2,1,4,-1,3,2,4,-1,2,-1]],[[1,1,2,1],[1,1,2,-1,1,1,2,-1,3,
2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,3,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,
-1,3,2,2,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,-2,2,-1,5,1,3,
1,4,1,2,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,1,2,1,4,-2,5,1,4,-1,1,1,3,-1,5,
-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-2,2,-1,5,2,4,-2,3,-1]],[[1,1,2,
1],[2,1,1,1],[2,1,4,-1,3,1,4,1,2,1,1,1,4,1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[
1,1,2,-1,3,-1,2,-2,4,-1,3,1,4,-1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,
1,2,1,1,1,4,1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,
2]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-2,2,-2,4,-1]]],[[[1,1,2,1],[2,1,1,1],[1,
1,2,-1],[4,1,3,-1,4,1,5,-1,2,1,3,1,4,-1,5,1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,
1,2,1,1,1,4,1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,2,1,1,1,3,-1,2,
-1,3,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1,2,1,1,1]]],[[[1,1,2,
1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,
4,-1,3,1,4,1,3,-2,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,2,3,-1]],[[1,
1,2,1],[1,1,2,-1,3,2,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,1,2,1,1,1,4,
1,2,1,4,1,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,2,3,-1,2,-1,3,-1]]],[[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[3,1,1,1,4,1,5,-1,2,1,3,1,4,1,5,-1]],[[1,1,2,1],[2,1,
3,1],[2,1,1,1,4,1,3,2,4,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,2,4,-1,5,2,3,
1,2,1,3,1,4,1]],[[1,1,2,-1,1,1,2,1,1,1]]],[[[2,1,1,1],[1,1,2,-1],[3,1,2,1,3,
-1,1,1,2,1],[5,1,4,-1,5,1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,
1,3,2,2,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-4,3,-1,2,1,1,1]],[[1,1,2,-1],[
2,2,1,1,2,-1,3,3,2,-1,1,1,2,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,
1,2,2,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,4,2]]],[[[2,1,1,1,2,1,1,1,2,-1,
1,1,2,-1]],[[2,2,1,1,2,-2,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,2,3,
1,5,1,3,1,4,2,5,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,2,2,2,1,1,2,1,4,1,3,-1,4,
-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-2,3,-1,5,-1,3,-2,2,-1,4,-1]],[[
2,1,1,1],[3,1,2,1,3,-1,1,1,2,1],[1,1,2,-1,4,-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,
2,-1],[5,1,4,-1,3,1,4,-1,2,-1,5,1,4,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[5,1,4,-2,3,-1,5,-1,3,-2,2,-1,4,-1]]],[[[2,1,1,1],[2,2,3,-1,1,1,2,1,3,-1,
2,-1]],[[2,1,1,1,2,2,1,1,2,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,1,1,1,4,1,
5,-1,2,2,3,1,4,-1,2,-1,4,-1,5,1]],[[1,1,2,1],[2,1,1,1],[3,2,4,1,2,2,3,2,2,1,4,
-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[4,
1,2,-2,4,-1,3,-2,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-1,3,2,4,1]],[[
1,1,2,1],[2,1,3,2,1,1,2,-1,3,-1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,2,2,1,
1,1,3,-1,2,-1,3,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,2,1,4,2]]],[[[1,1,
2,1],[2,1,1,1],[2,1,4,-1,3,1,4,2,3,1,2,1,3,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[
3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1,2,-1,3,-2,2,1,3,2]],[[
1,1,2,1],[3,2,2,1,1,1,2,-1,3,-2]]],[[[2,1,1,1],[2,1,3,-1,1,1,2,1,3,1,2,-2]],[[
2,1,1,1],[1,1,2,2,3,-2]]],[[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1,1,1,2,-1,3,2]],[[1,
1,2,1],[2,1,1,1],[4,1,2,1,3,4,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,1,1,
2,-1,3,1,2,1,3,1,4,-1,2,2]],[[1,1,2,1],[2,1,3,1],[1,1,2,-1,4,-1,3,-1,2,1,1,1,
4,1,3,1,2,2]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,-1,3,1,4,1,5,1,1,1,2,-1,4,
-1,3,-1,5,1]],[[2,1,1,1],[1,1,2,-1],[1,1,2,1,3,-1,2,-1,3,-1],[5,1,4,1,5,1,4,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,
1],[3,2,4,-1,3,1,4,-1,2,-1]]],[[[1,1,2,1],[1,1,2,-1],[3,2,2,2,1,1,4,-1,2,2,4,
1,3,2]],[[1,1,2,1],[2,1,1,1],[2,2],[3,2],[4,1,6,-1,5,1,6,1,4,1,5,1]]],[[[1,1,
2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,-1,4,1,5,-2,4,2,3,-1]],[[1,1,2,1],[2,1,1,1],[
1,1,2,-1,4,-2,3,-3,2,-1]]],[[[1,1,2,1],[3,1,1,1,3,-2,2,-1]]],[[[1,1,2,1],[2,1,
1,1],[3,2,4,1,2,1,4,-1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,3,
1]]],[[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,1,2,1,3,1]],[[1,1,2,1],[1,1,2,-1,1,1,2,
-1,3,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,2,-1,3,1,4,1,2,1,4,-1,3,1]],[[
1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[
3,2,4,1,2,1,4,-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,-2,1,1,2,-1,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,2,4,-1,2,
-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,4,1,3,-1,5,-1,4,1,2,1,4,-1,3,
1,5,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-2,2,-1,5,2,4,-2,2,-1]]],[[[1,
1,2,1],[1,1,2,-1],[2,2,3,2,2,1,1,1,2,-1,3,-1,2,1,4,-2]],[[1,1,2,1],[1,1,2,
-1],[2,1,1,1,3,-2,2,2,4,2,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,4,
-1,2,-1,4,-1,5,1,3,-1,4,1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,
1,3,1,4,-1,5,1,3,1,2,1,4,-2,5,1]]],[[[1,1,2,1],[1,1,2,-1,3,-1,2,-1,3,-1,2,1,1,
1,3,2,2,1]],[[1,1,2,1],[1,1,2,-1,1,1,2,-1,3,-1,2,2,3,1]]],[[[1,1,2,1],[1,1,2,
-2,3,1,2,1,3,1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-2,3,-1]]],[[[1,
1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,1,3,1,4,2,2,1,4,1,3,-1]],[[1,1,2,1],[2,1,1,
1],[2,2,3,1,4,2,3,-1,4,1]]],[[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,2,2,1]],[[2,1,1,
1],[3,1,1,1,2,1,3,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,-2,4,1,2,-1,
4,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,2,2,3,1]]],[[[1,1,2,1],[2,1,1,
1],[3,2,4,2,2,2,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,2]]],[[[1,1,2,1],[2,
1,1,1],[2,1,3,2,4,2,3,2,2,1]],[[1,1,2,1],[1,1,2,-1,3,-1,2,-1,3,-1,2,2,1,1,3,
-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,2,2,2,3,1]],[[1,1,2,1],[2,2,3,1,1,1,2,-1,3,
2,2,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,-1,3,-1,4,1,5,-1,2,2,3,1,4,
-1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-2,2,-1,5,2,4,-2,3,-1]]],[[[1,
1,2,1],[1,1,2,-1,3,-1,2,-1,3,-1,2,2,3,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[2,2,3,
1,4,1,2,1,4,-1,3,-1,4,1]]],[[[1,1,2,1],[3,1,1,1,2,-1,1,1,2,-1,3,1]],[[2,1,1,1,
2,1,1,1,2,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,-1,2,-1,
3,2,4,1,5,-1]],[[1,1,2,1],[2,1,1,1,2,2,3,1,1,1,2,-1,3,2]],[[1,1,2,1],[2,1,1,
1],[2,1,3,2,4,-2,2,-1]]],[[[1,1,2,1],[1,1,2,-2,3,-2,2,1,3,2,1,1,2,-1]],[[1,1,
2,1],[2,-1,1,1,2,-1,1,1,2,-1,3,2,2,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,2,
-1]],[[1,1,2,1],[1,1,2,-1,1,1,2,-1,3,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,
4,2,3,-2,2,-1]],[[1,1,2,1],[2,1,3,1],[3,1,4,1,2,1,1,1,4,1,3,1]]],[[[1,1,2,1],[
2,1,1,1],[4,1,3,-1,4,2,2,2,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,3]]],[[[
1,1,2,1,1,1,2,-2]]],[[[1,1,2,1]]],[[[1,1,2,-2]]],[[[1,1,2,1],[2,1,1,1],[2,2],[
5,1,4,1,2,1,3,3,1,1,4,1,2,1,1,1,5,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,
4,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-2,2,-1,5,2,4,-2,2,
-1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]]],[[[1,1,2,1],[2,
1,1,1],[4,1,2,-1,3,-2,4,1,2,2,1,1,2,-1]],[[2,1,1,1],[3,1,2,2,3,-1,2,-1,1,1,2,
-1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]],[[1,1,2,1],[2,1,
1,1],[4,1,3,-1,2,-2,3,1,2,1,3,1,4,-1]]],[[[1,1,2,1],[1,1,2,-1],[2,2],[4,1,2,
-1,3,-2,5,-1,4,1,1,1,2,-1,1,1,3,-1,5,1]],[[2,1,1,1],[3,2,2,-2,1,1,2,2,3,-1,1,
1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,2,5,1,4,-1,3,-1,2,-1,5,2,3,1,4,
1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-2,2,-1,5,2,4,-2,3,-1]]],[[[1,1,2,
1],[1,1,2,-1],[3,1,2,1,3,1,2,1,1,1],[4,1,5,-1,4,1,5,-1]],[[1,1,2,-1,1,1,2,1,1,
1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-2,3,1,4,-1,3,1,1,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,2],[
3,2,4,1,5,-1,6,-1,5,1,2,-1,3,1,4,-1,6,1]],[[1,1,2,1],[2,2],[4,1,3,2,2,1,1,1,2,
-1,3,-2,4,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[1,1,2,-1,4,1,3,-2,5,-1,3,1,2,1,3,1,
4,-1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-2,3,-1,5,-1,3,-2,2,-1,4,
-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-2,3,-1,5,-1,3,-2,2,-1,4,-1]],[[
1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]],[[1,1,2,1],[2,2],[4,1,3,
1,2,1,3,1,1,1,2,-1,1,1,2,-1,3,-1,4,-1]],[[1,1,2,1],[2,2],[4,1,3,2,2,1,1,1,2,
-1,3,-2,4,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,-1,2,-1,3,2,4,1,
5,-1]],[[2,1,1,1],[3,1,2,2,3,-1,2,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,
4,1,2,1,1,1,4,1,2,1,3,2]],[[1,1,2,1],[2,2,3,1,1,1,2,-1,3,2,2,1]]],[[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,-1,2,-1,3,2,4,1,5,-1]],[[2,2],[3,1,2,1,1,
1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]],[[1,1,2,1],[2,
1,1,1],[4,1,2,1,4,1,3,-1,4,1,3,-2,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,
1,3,1,4,1,2,2,5,1,4,-1,3,-2,2,-1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,2,2,1,1,1,2,
-1,3,-2,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-2,2,-1,5,2,4,-2,2,
-1]],[[1,1,2,1],[2,2],[4,1,2,1,3,2,2,1,1,1,2,-1,3,-2,4,1]]],[[[1,1,2,1],[2,1,
1,1],[1,1,2,-1],[5,1,4,-1,3,-1,2,-1,3,2,4,1,5,-1]],[[2,1,1,1],[2,2,1,1,2,1,3,
-2,2,-1]],[[2,1,1,1],[1,1,2,-1],[4,1,3,-2,2,-1,1,1,2,1,3,2,4,-1]],[[1,1,2,1],[
2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[2,2],[6,1,5,1,3,-2,2,-1,4,-1,3,1,4,2,5,-1,6,1]],[[1,1,2,1],[2,1,1,1],[4,
1,2,1,3,3,1,1,4,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,2],[3,2,4,1,5,
-1,6,-1,5,1,2,-1,3,1,4,-1,6,1]],[[1,1,2,1],[2,1,1,1],[2,2],[5,1,4,1,2,1,3,3,1,
1,4,1,2,1,1,1,5,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,-1,2,-1,3,
2,4,1,5,-1]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,1,
1,4,1,2,1,1,1,4,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,-1,4,1,3,-2,2,
-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,4,1,2,2,5,1,4,-1,3,-2,2,
-1]],[[2,1,1,1],[1,1,2,-1,3,-1,2,-1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[4,1,3,-2,2,-1,5,2,4,-2,2,-1]],[[1,1,2,1],[2,2],[4,1,2,1,3,2,2,1,1,1,2,-1,
3,-2,4,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-2,2,-1,5,2,4,-2,2,-1]],[[
2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,
1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,1]]],[[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[5,1,4,-1,3,-1,2,-1,3,2,4,1,5,-1]],[[2,2],[3,1,2,1,1,1,3,1]],[[
1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]],[[1,1,2,1],[2,2,3,1,1,1,
2,-1,3,2,2,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,1,4,-1,3,1,4,1]],[[2,-1,1,1,
2,1]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1,1,1,2,-1,3,1,2,1]],[[1,1,2,-1,1,1,2,1,1,
1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[5,1,4,-1,3,-2,2,-1,3,2,2,1,4,1,5,-1]],[[2,1,
1,1],[3,2,2,-2,1,1,2,2,3,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2],[5,1,4,
-1,2,-2,1,1,2,-1,5,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,4,2,2,1,
4,-1,3,1,4,1,5,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-2,2,-1,5,2,4,-2,
3,-1]],[[1,1,2,1],[1,1,2,-1,1,1,2,-1,3,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,
2,1,4,1,2,1,4,1,3,-1,4,1]],[[2,1,1,1],[3,2,2,-2,1,1,2,2,3,-1,1,1,2,-1]]],[[[1,
1,2,1],[2,1,1,1],[2,2,3,1,4,1,2,-1,3,-2,4,-1]],[[2,-1,1,1,2,1]],[[1,1,2,1],[2,
1,1,1],[2,1,4,1,3,1,4,-1,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,1,2,1,4,1,
3,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,1,2,1,1,1,3,-1,2,-2,4,-1]],[[2,1,1,
1],[3,1,2,-2,1,1,2,2,3,-1]],[[1,1,2,1],[1,1,2,-1],[3,1,2,1,3,1,2,1,1,1],[4,1,
5,-1,4,1,5,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,5,1,3,2,4,1]]],[[[1,
1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-2,2,-1,5,2,4,-2,3,-1]],[[1,1,2,1],[1,1,2,
-1,1,1,2,-1,3,2]],[[1,1,2,1],[1,1,2,-1],[2,1,1,1,3,1,2,1,3,1],[4,1,5,-1,4,1,5,
-1]],[[2,1,1,1],[3,2,2,-2,1,1,2,2,3,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,
4,-1,3,1,4,2,3,1,2,1,3,1,1,1,2,-1]],[[1,1,2,1],[3,-1,2,-2,3,1,2,1,3,1]],[[1,1,
2,1],[2,1,1,1],[2,1,4,2,2,1,1,1,3,-1,2,-1,3,-1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,
-1,2,-1,3,-1,2,2,3,1,2,1,1,1]]],[[[2,1,1,1],[1,1,2,-1],[4,1,3,-2,2,-1,1,1,2,1,
3,2,4,-1]],[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,1,2,-1,3,-2,4,-1]],[[1,1,2,1],[1,1,
2,-1],[4,1,3,2,2,1,1,1,2,-1,3,-2,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,
4,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1,2,1,1,1]],[[1,1,2,
1],[2,1,1,1,3,1,2,1,3,1,1,1,2,-1,3,2]],[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,1,2,-1,
3,-2,4,-1]],[[1,1,2,1],[1,1,2,-2,3,-2,2,1,3,2,2,1,1,1]]],[[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[5,1,4,-1,3,-1,2,-1,3,2,4,1,5,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,
1,4,1,3,-1,4,1,3,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,2,1,1,1,3,-1,2,
-2,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]]],[[[1,1,2,
1],[2,1,1,1],[2,2,3,1,4,1,2,-1,3,-2,4,-1]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,
-2]],[[1,1,2,1],[1,1,2,-2,3,-2,2,1,3,2,2,1,1,1]],[[1,1,2,1],[2,1,1,1,3,1,2,1,
3,1,1,1,2,-1,3,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,1,2,1,1,1,3,-1,2,-2,4,
-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,5,1,3,2,4,1]],[[1,1,2,1],[1,1,
2,-1],[3,1,2,1,3,1,2,1,1,1],[4,1,5,-1,4,1,5,-1]],[[1,1,2,1],[2,1,1,1],[3,1,1,
1,4,1,2,1,1,1,4,1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-2,2,-1,
5,2,4,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,1]],[[1,1,2,1],[2,1,
1,1],[2,1,3,1,4,1,2,1,1,1,3,-1,2,-2,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,
2,1,1,1,4,1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[2,2],[4,1,2,1,3,2,5,1,3,1,4,1,5,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,1,4,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[
3,1,2,1,3,1,4,1,3,2,2,1,4,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,
4,-1,3,1,4,-1,5,1,3,1,4,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,2,2,2,1,1,2,1,4,1,3,
-1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,3,2,2,1,4,-1]],[[1,1,2,1],[2,1,
1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,
4,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1],[6,1,4,1,5,-1,2,2,5,
1,4,-1,6,-1,3,-1]],[[2,1,1,1],[2,2],[3,2,2,-2,1,1],[4,1,5,-2,4,-1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,-2,2,1,3,1,1,1,4,1,5,-1]],[[1,1,2,1],[2,1,
1,1],[2,2],[5,1,3,1,4,1,5,1,4,1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[
5,1,4,-1,3,-1,2,-1,3,2,4,1,5,-1]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1]],[[1,1,2,
1],[2,1,1,1],[4,1,2,-1,3,-2,2,1,1,1,3,-1,2,-2,4,-1]],[[1,1,2,1],[2,1,1,1],[3,
1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,
1,2,1,3,2]],[[2,1,1,1],[2,1,3,1,2,-1,1,1,3,2,2,2]],[[1,1,2,1],[2,1,1,1],[1,1,
2,-2,3,1,4,-1,3,1,1,1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,-2,4,1,2,-1,4,
-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1,2,1,1,1]],[[1,1,2,1],[2,-1,1,
1,2,-1,1,1,2,-1,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,1,2,-1,3,-2,4,
-1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,1,2,1,4,1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[
2,2,3,1,4,1,2,1,1,1,2,1,3,2,4,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,3,2,1,1,
1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]]],[[[2,1,1,1],[1,1,
2,-1],[1,1,2,1,3,-1,2,-1,3,-1],[5,1,4,1,5,1,4,1]],[[1,1,2,1],[3,-1,2,-2,3,1,2,
1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]]],[[[1,1,2,1],[
2,1,1,1],[1,1,2,-1],[5,1,4,-2,3,-1,5,-1,3,-2,2,-1,4,-1]],[[1,1,2,1],[2,1,1,
1],[2,2],[5,1,3,1,4,1,5,1,3,2,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,
1,4,1,2,1,3,2]]],[[[1,1,2,1],[1,1,2,-1],[3,1,2,1,3,1,2,1,1,1],[4,1,5,-1,4,1,5,
-1]],[[2,1,1,1],[1,1,2,-1],[1,1,2,1,3,-2],[5,1,4,1,5,1,4,1]],[[1,1,2,1],[2,1,
1,1],[1,1,2,-1],[5,1,4,-1,5,1,3,2,4,1]]],[[[1,1,2,1],[1,1,2,-1,3,-1,2,-1,3,-1,
2,2,3,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,3,2,1,3,2]],[[1,1,2,1],[2,1,1,
1],[3,1,2,1,4,-1,3,2,2,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-2,3,
-1,5,-1,3,-2,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,1,2,1,1,1,2,1,3,2,4,
-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,-2,4,1,3,-1,2,-1,3,-1,5,
-1]]],[[[2,1,1,1],[1,1,2,-1],[2,2],[5,1,2,1,3,2,4,-1,2,1,1,1,2,1,3,1,4,-1,5,
1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,-2,2,-1,4,-2,3,-2,5,-1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,1,1,3,-1,2,2,3,1,2,1,4,-2,5,1]]],[[[1,1,2,
1],[2,1,1,1],[2,2],[3,1,4,-2,5,-1,3,1,1,1,4,1,2,1,1,1,5,1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1,3,-2,2,-1,4,-2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,
1,1,1,4,1,2,-2,3,1,4,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,1,4,-1,
2,-1,5,2,3,1,4,2]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,2,1,1,1,3,-1,2,-2,4,
-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-2,2,-1,5,2,4,-2,2,-1]]],[[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,4,-2,5,1,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[3,2,
2,1,4,1,2,1,4,1,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-1,3,1,4,-2,1,1,2,
-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,4,-2,5,1,3,2,2,1]],[[2,-1,1,1,
2,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,1,2,1,4,1,3,-1]]],[[[1,1,2,1],[2,1,1,
1],[4,1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,-1,2,-2]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,
3,3,1,1,4,1,2,1,1,1]],[[2,1,1,1],[1,1,2,-1],[4,1,3,-2,2,-1,1,1,2,1,3,2,4,
-1]]],[[[1,1,2,1],[1,1,2,-1],[4,1,3,2,2,1,1,1,2,-1,3,-2,4,-1]],[[1,1,2,-2,1,1,
2,1],[3,1,1,1,2,-1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1,2,1,1,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,2,1,1,1,3,-1,2,-2,4,-1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,2],[4,1,5,1,4,-1,5,-1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,
2,1,1,1,4,1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,-1,2,-2,4,-1,3,1,4,
-1,2,-1,4,-1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,
2,1,3,3,1,1,4,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-2,3,-1,5,
-1,3,-2,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,1,2,1,1,1,2,1,3,2,4,
-1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]]],[[[2,1,1,1],[1,
1,2,-1],[3,1,2,-1,1,1,2,-2,4,2,3,-2,2,-1]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,
-1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]]],[[[1,1,2,1],[2,
1,1,1],[1,1,2,-1],[4,1,2,1,4,1,3,-1,5,1,4,-2,3,-1,5,-1]],[[1,1,2,1],[2,1,1,1,
3,1,2,1,3,1,1,1,2,-1,3,1,2,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,2,1,4,-1,
3,-1,4,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,2,-1,3,1,4,1,5,-1,2,
1,4,1,3,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,1,3,1,1,1,2,-1,4,-1,5,
-1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,-1,1,1,2,-1,3,1,2,1,3,1,4,1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,2,1,3,3,4,2]],[[1,1,2,-2,1,1,2,2,1,1]],[[1,1,2,1],[2,1,1,
1],[3,1,2,1,3,1,4,-1,3,2,4,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,
-1,2,-1,3,2,4,1,5,-1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,2,3,
1]],[[1,1,2,1],[2,2,3,1,1,1,2,-1,3,2,2,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,
1,2,1,1,1,4,1,2,1,3,2]],[[2,1,1,1],[2,1,3,-1,1,1,2,1],[3,1,4,1,3,-1,4,-1]],[[
1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,
2,-1,4,-1,3,-1,2,-1,3,-2,2,-2,4,-1]],[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,-2,2,-1,
3,-2]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]]],[[[1,1,2,1],[
2,1,1,1],[1,1,2,-1],[3,1,4,-2,5,2,4,-1,3,-1,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[
4,1,2,1,3,3,1,1,4,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-1,3,1,4,-2,1,1,
2,-1]]],[[[1,1,2,1],[1,1,2,-1],[4,1,3,-1,2,-1,3,-1,1,1,2,-1,4,1,3,2,2,1]],[[1,
1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,1,2,
1,1,1,3,-1,2,-2,4,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,-1,4,1,5,-2,4,
2,3,-1]],[[2,1,1,1],[1,1,2,-1,3,-1,2,-1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[2,
1,3,3,4,2,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,-2,2,-1,5,1,
3,1,4,1,2,2]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,2,3,1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,1,1,4,1,5,-1,4,2,2,-1,3,-1]]],[[[1,1,2,1],[1,
1,2,-1],[3,2,2,2,1,1,4,-1,2,2,4,1,3,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,1,2,1,
1,1,3,-1,2,-2,4,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[5,1,4,1,2,-1,3,-2,5,-1,3,2,4,
-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,1,1,1,4,1,5,-1,3,1,4,-1,2,-1,4,-1,5,
1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,1,2,1,3,1,1,1,2,-1,4,2,3,1]],[[1,1,2,1],[2,1,
1,1],[1,1,2,-1],[4,1,3,-2,2,-1,5,2,4,-2,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[
2,1,4,-1,3,1,4,1,5,1,1,1,2,-1,4,-1,3,-1,5,1]],[[1,1,2,1],[3,-1,2,-2,3,1,2,1,3,
1]],[[2,1,1,1],[1,1,2,-1],[1,1,2,1,3,-1,2,-1,3,-1],[5,1,4,1,5,1,4,1]]],[[[2,1,
1,1],[1,1,2,-1],[2,1,3,1],[4,1,3,-1,5,-1,1,1,2,1,5,-1,3,-1,4,1]],[[1,1,2,1],[
2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,
-1,1,1,2,-1,4,-1,3,-1,2,-2]]],[[[1,1,2,1],[2,1,1,1],[2,2],[4,1,2,1,4,1,3,-1,5,
-1,1,1,2,-1,3,-2,2,-1,5,1]],[[2,2],[1,1,2,1,1,1,2,1,1,1],[4,1,3,1,1,1,2,-1,4,
-1,3,1]],[[1,1,2,1],[2,1,1,1],[2,2],[5,1,4,1,3,-1,2,-1,3,-1,5,-1,4,-1,3,1,4,1,
2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,-1,3,-2,5,1,4,-1,3,-1,5,
-2]],[[1,1,2,1],[2,1,1,1],[2,2],[5,1,3,1,4,1,5,1,3,2,4,-1]]],[[[1,1,2,1],[2,1,
1,1],[1,1,2,-1],[4,1,2,-1,3,-2,5,1,4,-1,3,-1,5,-2]],[[1,1,2,1],[2,1,1,1],[1,1,
2,-1,3,1,4,-1,2,-1,4,-1,3,1,2,1,4,-2]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,
1,2,2,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,1,2,1,3,1,4,-1]],[[1,1,2,
1],[2,1,3,1],[4,1,3,2,4,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2],[4,1,5,1,
4,-1,5,-1]],[[2,1,1,1],[1,1,2,1,3,2,2,1,1,1,3,1,2,2]]],[[[2,1,1,1],[1,1,2,
-1],[3,1,2,-1,1,1,3,1],[5,1,4,-1,5,1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,2,4,2,2,1,
3,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,4,4,1]],[[1,1,2,1],[2,1,1,1,2,-1,3,1,
1,1,2,-2,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,-1,4,1,5,-2,4,2,3,
-1]],[[2,1,1,1],[1,1,2,-1],[1,1,2,1,3,-2],[5,1,4,1,5,1,4,1]]],[[[2,1,1,1],[1,
1,2,-1],[3,1,2,-1,1,1,2,-2,4,2,3,-2,2,-1]],[[1,1,2,1],[2,1,3,1],[4,1,3,2,4,1,
2,1,1,1]]],[[[2,1,1,1],[1,1,2,-1],[3,1,2,-1,1,1,2,-2,4,2,3,-2,2,-1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1,4,-2,3,-3,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,
2,4,-1,5,2,3,1,2,1,3,1,4,1]],[[2,1,1,1],[1,1,2,-1],[3,1,2,-1,1,1,2,-2,4,2,3,
-2,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,1,2,1,1,1,2,1,3,2,4,-1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1,3,1,2,1,3,1,4,3]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,
1,3,-1,2,-2,5,2,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,2,1,4,1,3,
-1]],[[1,1,2,1],[1,1,3,-1,2,1,1,1,2,-1,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[5,1,3,-1,4,1,5,-1,3,1,4,-2,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,
1,4,1,5,-1,4,2,3,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,4,2,3,-2,2,
-1]],[[1,1,2,1],[2,1,1,1],[3,2,4,2,2,1,3,2]]],[[[1,1,2,1],[1,1,2,-1],[4,2,2,
-1,3,1,4,1,1,1,2,-1,3,-1,2,-2]],[[1,1,2,1],[1,1,2,-1],[4,1,1,1,2,-1,3,-1,2,-1,
3,-2,4,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-1,4,1,2,-1,5,3,2,-1,3,1,
4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,2,2,1,4,-2,1,1,3,-1,5,-1]]],[[[1,
1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,2,3,1,5,1,3,1,4,2,5,-1]],[[1,1,2,1],[2,1,1,
1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,1,
1,2,-1,4,-1,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,
3,2]]],[[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]],[[1,1,2,1],[2,
1,1,1],[4,1,3,-1,2,-1,3,-1,4,1,2,-1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,
-1,4,1,2,-1,3,-2]],[[2,1,1,1],[1,1,2,-1,3,-1,2,-1,1,1,2,1,3,2]]],[[[1,1,2,1],[
1,1,2,-1],[4,1,2,1,1,1,3,-1,2,-2,4,2,2,-1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,
4,1,2,1,1,1,4,1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,-1,4,1,5,
-2,4,2,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,1,1,3,-2,2,-2,4,-1]]],[[[1,
1,2,1],[2,1,1,1],[3,1,4,3,2,1,3,2]],[[2,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[
4,1,2,1,3,3,4,2]],[[2,1,1,1],[2,1,3,1,2,-1,1,1,3,2,2,2]]],[[[1,1,2,1],[1,1,2,
-2,3,-2,2,1,3,2,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,4,2]]],[[[1,1,2,
1],[1,1,2,-2,3,-2,2,1,3,2,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,3,2,1,3,
2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,3,-1,5,-1,3,1,5,1,4,-1]],[[2,1,1,
1],[2,1,3,1,2,-1,1,1,3,2,2,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,1,4,-3,
3,-1]],[[2,1,1,1],[1,1,2,-1],[1,1,2,1,3,-2],[5,1,4,1,5,1,4,1]]],[[[1,1,2,1],[
2,1,3,1],[4,1,3,2,4,1,2,1,1,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1]]],[[[1,1,2,
1],[2,1,1,1],[2,1,3,2,4,1,2,1,4,2]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1,1,1,2,-1,
3,1,2,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-2,3,-1,5,-1,3,-2,2,-1,4,
-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,-1,2,-1,4,-1,3,1,2,1,4,-2]],[[1,1,2,
1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,
1,3,1,4,-1,3,1,1,1,4,1,2,1,1,1]],[[2,1,1,1],[1,1,2,-1],[1,1,2,1,3,-2],[5,1,4,
1,5,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,2,2,1,3,2,4,1]],[[1,1,2,1],[2,1,1,
1],[3,1,2,1,3,1,4,-2,3,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,2,1,4,
-2,5,2,2,-1,3,1,4,1]],[[2,1,1,1],[1,1,2,-1],[1,1,2,1,3,-2],[5,1,4,1,5,1,4,
1]]],[[[1,1,2,1],[2,1,3,1],[2,1,1,1,4,1,3,2,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,
1,3,-1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,1,1,1,4,1,5,-1,2,1,3,1,
4,1,5,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,4,1,3,-2,2,-1,4,-1]]],[[[1,1,2,
-1,1,1,2,-1,1,1,2,2]],[[1,1,2,1],[1,1,2,-1,3,-1,2,1,3,1]]],[[[1,1,2,1],[2,1,1,
1,3,1,2,1,3,1,1,1,2,-1,3,1,2,1]],[[1,1,2,1],[2,1,3,2,2,1,1,1,2,-1,3,-2]]],[[[
1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1,2,-1,3,-2,2,1,
3,2]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[
5,1,4,-2,3,-1,5,-1,3,-2,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,1,2,1,4,1,
3,-1,4,1,2,1,1,1]]],[[[2,2,1,1,2,-2,1,1]],[[2,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,
1,1],[2,1,3,1],[4,1,3,-1,5,-1,3,1,5,1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,
1,3,-2,4,1,2,-1,4,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,3,-1,2,1,1,1]],[[1,1,2,
1],[2,1,1,1,2,-1,3,-4]]],[[[1,1,2,1],[1,1,2,-1],[4,1,1,1,2,-1,3,-1,2,-1,3,-1,
4,2,2,-1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,2,2,1,1,1,3,-1,2,-1,3,-1,4,
-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,4,2]],[[1,1,2,1],[1,1,2,-1,1,1,2,-1,
3,2]]],[[[2,1,1,1],[1,1,2,-1],[2,1,3,1],[4,1,3,-1,5,-1,1,1,2,1,5,-1,3,-1,4,
1]],[[2,1,1,1],[1,1,2,-1],[3,1,2,-1,1,1,3,1],[5,1,4,-1,5,1,4,-1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,2,1,3,3,4,2]],[[1,1,2,1],[2,2,3,1,1,1,2,-1,3,2,2,1]]],[[[2,
1,1,1],[1,1,2,-1],[2,2],[5,1,1,1,2,1,3,1,4,-2,3,1,5,-1]],[[1,1,2,1],[2,1,1,
1],[4,1,3,-2,2,-1,3,2,2,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,2,2,1,3,2,4,
1]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,
1,2,2,3,1,5,1,3,1,4,2,5,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,-1,4,1,3,-2,
2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-1,4,1,2,-1,5,2,3,1,1,1,4,
1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-2,2,-1,5,2,4,-2,3,-1]],[[2,1,1,
1],[3,2,2,-2,1,1,2,2,3,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,1,2,1,
1,1,2,1,4,-1,3,1,4,1]],[[1,1,2,1],[1,1,2,-1],[3,2,2,1],[4,1,5,-1,4,-1,2,1,1,1,
5,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,-2,2,-1,5,1,3,1,4,1,2,
2]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,2,1,1,1,4,1,2,1,4,-1,3,1]]],[[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[4,1,3,-1,2,-2,5,2,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[
1,1,2,-1],[5,1,3,-1,2,-1,3,-1,4,-2,3,-1,5,-2]],[[1,1,2,1],[1,1,3,-1,2,1,1,1,2,
-1,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,1]],[[1,1,2,1],[2,1,1,
1],[2,1,4,-1,3,-1,4,1,2,-1,3,-2]]],[[[1,1,2,1],[1,1,2,-1],[4,1,3,1,2,1,4,1,3,
1,2,1,3,1]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[5,1,4,-1,3,-1,5,-1,4,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,-1,1,1,
2,-1,4,-2,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,3,1,2,1,3,1,4,-1]],[[1,
1,2,1],[2,1,1,1],[3,1,4,3,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,4,4,
1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,4,4,
1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,1,2,1,4,-1]]],[[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[4,1,2,2,3,1,5,1,3,1,4,2,5,-1]],[[1,1,2,1],[2,1,1,1],[3,2,4,2,2,
1,3,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,1,1,4,1,2,2,3,1,4,-1,5,
1]],[[1,1,2,1],[2,1,1,1],[3,1,4,3,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1,2,1,3,4,2,
1]],[[1,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,1,4,-1,2,-1]],[[1,1,2,1],[
1,1,2,-1,1,1,2,-1,3,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,4,1,5,-1,2,
1,4,1,3,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,2,3,-1,2,-1,3,-1]]],[[[1,1,
2,1],[3,1,1,1,2,1,1,1,2,-1,3,-1]],[[2,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,
1,2,-1],[4,1,3,-1,2,-2,5,2,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,1,4,
-1,3,1,1,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,-2,4,1,2,-1,4,-1]],[[1,
1,2,1],[1,1,2,-1],[4,1,3,1,2,1,4,1,3,1,2,1,3,1]]],[[[1,1,2,1],[1,1,2,-1],[4,1,
1,1,2,-1,3,-2,2,-1,3,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,2,-1]]],[[[
2,1,1,1],[1,1,2,-1,3,-1,2,-1,1,1,2,1,3,2]],[[2,1,1,1],[3,2,2,-2,1,1,3,2]]],[[[
1,1,2,1],[1,1,3,-1,2,1,1,1,2,-1,3,1]],[[1,1,2,1],[2,-2,3,2]]],[[[1,1,2,1],[2,
1,1,1],[1,1,2,-2,4,-1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,1,2,1,4,
-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,2,2,1,4,1,3,-1]],[[1,1,2,1],[2,-1,1,1,2,-1,
1,1,2,-1,3,2,2,1]]],[[[1,1,2,1],[1,1,2,-1],[4,1,3,1,2,1,4,1,3,1,2,1,3,1]],[[2,
1,1,1],[2,1,3,1,2,-1,1,1,3,2,2,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,1,4,-1,
3,1,1,1,4,1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,1,2,1,4,1,3,1,2,1,3,1]]],[[[1,1,2,
1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[2,1,4,2,
2,1,3,2,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,2,1,4,2]],[[2,2],[3,1,2,1,1,
1,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,-1,4,1,5,-2,4,2,3,-1]],[[1,1,
2,1],[2,1,1,1],[3,2,2,1,4,-1,1,1,2,-1,3,1,2,1,3,1,4,1]]],[[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[3,2,2,1,4,-1,5,2,3,1,4,2]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,
4,-1,3,-1,2,-1,3,-1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,-1,2,-1,
3,-1,4,1,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,
2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,3,-1,5,-1,3,1,5,1,4,1,2,1,1,1]],[[1,
1,2,1],[1,1,2,-1,1,1,2,-1,3,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,1,4,-1,3,1,
1,1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,4,2]],[[1,1,2,1],[2,1,1,1,3,1,2,1,
3,1,1,1,2,-1,3,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,-1,3,-1,4,1,5,-1,
2,1,3,1,4,1,5,-1,2,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,-2,2,-1,4,-2,3,
-2,5,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[5,1,3,2,2,1,4,1,5,-1,3,1,1,1,4,1,2,1,1,
1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-2,2,-1,5,2,4,-2,3,-1]],[[1,1,2,
1],[2,1,1,1],[2,1,4,-1,3,1,4,1,2,1,1,1,4,1,2,1,3,2]],[[2,1,1,1],[3,2,2,-2,1,1,
2,2,3,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-2,2,-1,5,2,4,-2,
2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,-1,3,1,2,1,4,-2,1,1,2,-1]],[[1,1,
2,1],[1,1,2,-1],[4,1,3,2,2,1,1,1,2,-1,3,-2,4,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,
2,-1],[4,1,3,-1,2,-2,5,2,4,-2,3,-1]],[[2,-1,1,1,2,1]],[[1,1,2,1],[1,1,3,-1,2,
1,1,1,2,-1,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,1]],[[1,1,2,1],[
3,1,2,1,1,1,2,-1,3,-1]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]]],[[[1,1,2,1],[2,1,
1,1],[1,1,2,-1],[4,1,3,-2,2,-1,5,2,4,-2,3,-1]],[[1,1,2,1],[1,1,2,-1],[4,2,2,
-1,3,1,4,1,3,1,2,1,3,1]],[[2,1,1,1],[3,2,2,-2,1,1,2,2,3,-1,1,1,2,-1]]],[[[1,1,
2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-2,2,-1,5,2,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1,
2,1,3,4,2,1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,-2,2,-1,4,1,1,1,2,-1,1,1,3,
-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,2,5,-1,4,1,3,1,2,1,3,1,5,1]],[[
1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]],[[1,1,2,1],[1,1,2,-1],[
3,1,2,1,3,1,2,1,1,1],[4,1,5,-1,4,1,5,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,1,
1,1,2,-1,3,1,2,1,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,1]],[[1,
1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[2,
1,3,1,4,1,2,1,1,1,3,-1,2,-2,4,-1]],[[2,1,1,1],[1,1,2,-1],[4,2,1,1,2,1,3,1,4,
-1,2,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]]],[[[1,
1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1,2,1,1,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,
2,-1]],[[2,1,1,1],[1,1,2,-1,3,-1,2,-1,1,1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[1,
1,2,-1],[5,1,4,-2,3,-1,5,-1,3,-2,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,
2,2,1,1,1,4,1,2,2,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,
2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,1,2,1,1,1,2,1,4,-1,3,1,4,1]],[[1,1,2,
1],[1,1,2,-2,3,-2,2,1,1,1,3,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,1,3,1,
1,1,2,-1,4,-1,5,-1]]],[[[1,1,2,1],[2,1,1,1,2,-1],[4,1,3,-1,4,1,3,1]],[[2,1,1,
1,2,-1]],[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,-1]]],[[[1,1,2,1],[1,1,2,-2,3,-2,
2,1,3,2,2,1,1,1]],[[2,-1,1,1,2,1]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1,1,1,2,-1,3,
1,2,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-2,2,-1,5,2,4,-2,3,-1]],[[2,
1,1,1],[3,1,2,1,3,1,2,-1,1,1],[4,1,2,1,1,1,4,1]],[[1,1,2,1],[1,1,3,-1,2,1,1,1,
2,-1,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-2,2,-1,5,2,4,-2,3,-1]],[[
1,1,2,1],[2,1,1,1],[4,1,3,2,2,2,1,1,4,2,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,
2,1,4,-1,3,1,2,1,1,1,4,1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[2,2],[3,1,4,-2,5,
-1,3,1,1,1,4,1,2,1,1,1,5,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,1,2,1,1,1,
4,1,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,1,2,1,1,1,2,1,3,2,4,
1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-2,2,-1,5,2,4,-2,3,-1]],[[1,1,2,
1],[2,1,1,1],[3,1,2,1,4,-1,3,1,4,-1,2,-1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,2,2,2,
1,1,2,2,4,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,1,4,-1,2,-1,5,
1,4,-1,3,-2]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1,1,1,2,-1,3,1,2,1]],[[1,1,2,1],[
2,1,1,1],[1,1,2,-1],[5,1,4,-2,3,-1,5,-1,3,-2,2,-1,4,-1]]],[[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[4,1,3,-2,2,-1,5,2,4,-2,3,-1]],[[2,1,1,1],[1,1,2,-1],[3,1,2,1,3,
1,2,-1,1,1,4,-1,3,1,2,2,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,3,-1,2,1,1,1]]],[[[
1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-2,2,-1,5,2,4,-2,3,-1]],[[1,1,2,1],[1,1,
2,-1],[4,2,2,-1,3,1,4,1,3,1,2,1,3,1]],[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,
1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,2,1,4,1,2,1,4,1,3,-1,4,1]],[[1,1,2,
1],[2,1,1,1],[4,1,2,1,4,-1,3,1,2,1,1,1,4,1,2,1,3,2]],[[2,1,1,1],[3,2,2,-2,1,1,
2,2,3,-1,1,1,2,-1]]],[[[1,1,2,1],[1,1,2,-2,3,-2,2,1,3,2,2,1,1,1]],[[2,1,1,1],[
2,2,3,-1,1,1,2,1,3,-1,2,-1]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1,1,1,2,-1,3,
2]]],[[[1,1,2,1],[1,1,2,-1,3,-1,2,-1,3,-1,2,2,3,1,2,1,1,1]],[[1,1,2,1],[3,1,1,
1,2,-1,1,1,2,-1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,2,2,1,4,1]]],[[[2,
1,1,1],[3,1,2,-1,1,1,3,1,2,-1]],[[2,-1,1,1,2,1]],[[1,1,2,-1,1,1,2,1,1,1]]],[[[
1,1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,1]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,
-1]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,1,
2,1,1,1,2,1,4,-1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-1,3,2,4,1]],[[
1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,1,3,1,1,1,2,-1,4,-1,5,-1]]],[[[1,1,2,1],[
2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,-1,2,-2,3,1,2,1,3,1,4,1,5,-1]],[[1,1,2,1],[2,
1,1,1],[1,1,2,-1],[5,1,3,-1,2,-2,4,-1,5,1,2,-1,3,1,4,1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[5,1,3,1,2,1,3,1,4,-2,3,-1,5,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[4,1,5,1,3,1,1,1,2,-1,4,-1,5,-1]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]],[[1,
1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,1]]],[[[1,1,2,1],[1,1,2,-1],[2,1,1,1,2,
2,3,1,4,-1,3,-1,2,1,4,-2]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-1,3,2,4,1]],[[
1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,1,3,1,1,1,2,-1,4,-1,5,-1]]],[[[1,1,2,1],[
2,1,1,1],[1,1,2,-2,3,1,4,-1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,2,4,-1,
3,-1]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1,1,1,2,-1,3,2]]],[[[1,1,2,1],[2,1,1,1],[
2,2,3,1,4,1,2,1,1,1,2,1,3,2,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1,
2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]]],[[[1,1,2,
1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]],[[2,1,1,1],[1,1,2,-1,3,-1,1,1,
2,1,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1,2,1,1,1]]],[[[1,1,2,
1],[1,1,2,-1],[3,1,2,1,3,1,2,1,1,1],[4,1,5,-1,4,1,5,-1]],[[2,1,1,1],[1,1,2,
-1],[1,1,2,1,3,-2],[5,1,4,1,5,1,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,2,1,4,-1,
3,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-2,2,-1,5,2,4,-2,3,-1]],[[
1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,1,2,1,1,1,4,1,3,1,2,1,3,1]],[[1,1,2,1],[1,
1,2,-1],[3,2,2,1,1,1,2,-1,4,2,3,1,2,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[4,1,3,-2,2,-1,5,2,4,-2,3,-1]],[[2,1,1,1],[2,1,3,-1,2,-1,1,1],[4,1,3,1,4,
1,3,1]],[[1,1,2,1],[1,1,2,-1],[3,2,2,1,1,1,2,-1,4,2,3,1,2,1,3,1]]],[[[1,1,2,
1],[1,1,2,-1],[3,1,2,1,3,1,2,1,1,1],[4,1,5,-1,4,1,5,-1]],[[2,1,1,1],[1,1,2,
-1],[1,1,2,1,3,-2],[5,1,4,1,5,1,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,
1,4,1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,2,2,1,1,1,3,-1,2,-1,3,-1,4,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,2,1,4,2]],[[1,1,2,1],[2,-1,1,1,2,-1,1,
1,2,-1,3,2,2,1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[5,1,4,1,5,1,3,1,2,1,1,1,3,-2,2,
-1,4,-1]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1,1,1,2,-1,3,1,2,1]],[[1,1,2,1],[2,1,
1,1],[1,1,2,-1],[5,1,4,-1,3,-2,2,-1,5,1,3,1,4,1,2,2]]],[[[1,1,2,1],[2,1,1,1],[
1,1,2,-1],[2,2,4,-1,5,2,3,1,2,1,3,1,4,1]],[[2,-1,1,1,2,1]],[[1,1,2,1],[1,1,3,
-1,2,1,1,1,2,-1,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,2,-1,3,-2,5,
1,3,2,4,-1]],[[1,1,2,1],[2,1,3,1],[3,1,4,1,2,1,1,1,4,1,3,1]],[[2,1,1,1],[1,1,
2,-1],[2,1,3,1,2,-1,1,1,3,1],[4,1,5,-1,4,1,5,-1]]],[[[1,1,2,1],[2,1,1,1],[2,
2],[5,1,4,1,5,1,3,1,2,1,1,1,3,-2,2,-1,4,-1]],[[1,1,2,1],[3,1,2,1,3,1],[2,1,1,
1,4,-1,2,-2,1,1,2,-1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,-2,2,
-1,5,1,3,1,4,1,2,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-2,3,-1,5,-1,3,
-2,2,-1,4,-1]],[[2,1,1,1],[1,1,2,-1],[3,1,2,-1,1,1,3,1],[5,1,4,-1,5,1,4,
-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,-1,4,1,3,-2,2,-1]]],[[[1,1,2,1],[1,1,
2,-1],[2,1,1,1,3,1,2,1,3,1],[4,1,5,-1,4,1,5,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,
1,3,3,4,2]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,2,3,1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,3,2,1,
3,2]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,2,2,1,4,1]]],[[[1,1,2,1],[2,1,1,
1],[3,1,4,3,2,1,3,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1]],[[1,1,2,1],[1,1,2,
-2,3,-2,2,1,1,1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,-1,4,1,5,-2,4,
2,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-1,3,2,4,1]],[[1,1,2,1],[2,1,1,
1],[4,1,2,1,3,3,1,1,4,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,1,1,1,
4,1,5,-2,4,1,3,-1,4,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,4,4,1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[4,1,3,-2,2,-1,5,2,4,-2,2,-1]]],[[[1,1,2,1],[2,1,1,
1],[4,1,2,1,3,3,1,1,4,1,2,1,1,1]],[[1,1,2,1],[1,1,2,-2,3,-2,2,1,1,1,3,-2]],[[
1,1,2,1],[2,1,1,1],[3,1,4,3,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,
2,-1,3,-2,4,-1,5,1,4,-1,3,-1,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,
1,1,1,4,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-2,3,-1,5,-1,3,-2,
2,-1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-2,3,-1,5,-1,3,-2,2,-1,4,
-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,3,2,2,1,4,-1]],[[1,1,2,1],[2,1,1,1],[
4,1,3,2,2,2,1,1,2,1,4,1,3,-1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,2,
-1,3,1,5,1,3,1,4,2]],[[1,1,2,1],[1,1,2,-1,1,1,2,-1,3,2]],[[2,1,1,1],[3,2,2,-2,
1,1,2,2,3,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,
2]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,
4,-1,5,1,3,2,4,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-1,2,-2,5,2,4,-2,
3,-1]],[[1,1,2,1],[1,1,3,-1,2,1,1,1,2,-1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,
3,-2,4,-1,3,-1,2,-1,3,-1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,1,2,1,4,
1,3,-1]],[[1,1,2,-1,1,1,2,1,1,1]],[[1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,3,2,2,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,-1,3,-1,2,-1,3,-1,2,1,1,1]],[[1,1,
2,1],[2,1,1,1,2,1,3,4,2,1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,2,1,3,2,
4,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,-1,2,-2,4,-1,3,1,4,-1,2,-1,4,-1]],[[
1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,3,2,2,1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,
1,3,3,1,1,4,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,
2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,1,4,-1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[1,
1,2,-1],[5,1,4,-1,5,1,3,2,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,3,2,1,3,2]],[[2,
1,1,1],[1,1,2,2,3,-1],[3,1,4,-1,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,
3,2,2,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,1,2,1,3,1,5,1,4,-1,2,
-1,3,-2,5,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,4,4,1]],[[1,1,2,1],[2,1,1,1],[
1,1,2,-1],[5,1,4,-1,3,-2,2,-1,5,1,3,1,4,1,2,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,
-1,4,-1,3,-1,2,-2,4,-1,3,1,4,-1,2,-1]],[[1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,3,2,
2,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,2,2,1,1,1,3,-1,2,-1,3,-1,4,-1]]],[[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,-1,2,-1,3,2,4,1,5,-1]],[[1,1,2,1],[2,1,1,
1],[4,1,2,1,4,1,3,-2,4,1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,2,
-1]]],[[[1,1,2,1],[1,1,2,-2,3,-2,2,1,3,2,2,1,1,1]],[[2,1,1,1],[1,1,2,-1,3,-1,
1,1,2,1,1,1,3,1]],[[2,1,1,1],[2,1,3,1,2,-1,1,1,3,2,2,2]]],[[[1,1,2,1],[2,1,1,
1],[2,1,3,1,4,-1,3,1,4,-1,2,-1]],[[2,1,1,1,2,2,1,1,2,2]],[[1,1,2,1],[2,1,1,
1],[2,1,3,2,4,-2,2,-1]]],[[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1,1,1,2,-1,3,1,2,
1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,4,4,1]],[[1,1,2,1],[1,1,3,-1,2,1,1,1,2,-1,
3,1]]],[[[2,1,1,1],[1,1,2,-1],[3,1,2,-1,1,1,2,-2,4,2,3,-2,2,-1]],[[1,1,2,1],[
2,1,1,1],[1,1,2,-1],[5,1,4,-1,5,1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,
-2,2,1,1,1,3,-1,2,-2,4,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1,2,1,1,
1]],[[1,1,2,1],[1,1,2,-1,3,2,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,-2,2,
-1,4,-2,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-2,2,-1,5,2,4,-2,3,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[5,1,4,2,5,1,3,1]],[[1,1,2,1],[2,1,1,1],[
1,1,2,-1],[3,2,4,1,5,-1,4,2,5,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,
-1,2,-1,3,-1,4,-1,5,1,2,-1,3,1,4,1]],[[1,1,2,1],[2,1,3,1],[2,1,1,1,4,1,3,2,4,
1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,-1,2,-1,5,1,4,-1,1,1,3,
-1]]],[[[2,1,1,1],[1,1,2,-1],[3,1,2,-1,1,1,2,-2,4,2,3,-2,2,-1]],[[1,1,2,1],[2,
1,1,1],[1,1,2,-1],[5,1,4,-1,5,1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,
1,1,1,4,1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,4,2]],[[2,1,1,1],[1,1,
2,-1,3,-1,1,1,2,1,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-1,3,2,4,
1]]],[[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,-1,1,1,2,-1,3,1,2,1,3,1,4,1]],[[1,1,2,
1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1,
4,1,2,1,1,1,3,-1,2,-2,4,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,2,4,-1,2,
-1]],[[1,1,2,1],[1,1,2,-1,1,1,2,-1,3,2]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,2,-1]],[[1,1,2,1],[3,1,1,1,2,-1,1,1,
2,-1,3,1]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]]],[[[1,1,2,1],[1,1,2,-2,3,-2,2,
1,3,2,2,1,1,1]],[[1,1,2,1],[1,1,2,-1,1,1,2,-1,3,2]],[[2,1,1,1],[2,1,3,1,2,-1,
1,1,3,2,2,2]]],[[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,-1,1,1,2,-1,3,1,2,1,3,1,4,
1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,2,4,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,
3,1],[4,1,5,1,3,1,1,1,2,-1,4,-1,5,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,1,4,
-1,3,1,1,1,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,2,-1]],[[2,1,1,1],[2,1,3,
1,2,-1,1,1,3,2,2,2]]],[[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,
2]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,2,-1]],[[2,1,1,1],[2,1,3,1,2,-1,1,1,3,
2,2,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1,2,1,1,1]],[[1,1,2,1],[2,1,
1,1],[4,1,3,-2,2,-1,3,2,2,1,4,-1]],[[1,1,2,1],[1,1,2,-2,3,-2,2,1,3,2,2,1,1,
1]]],[[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,2,-2,3,2,4,1,2,1,1,1]],[[1,1,2,1],[
2,1,1,1],[2,1,4,-1],[5,1,3,-1,4,1,2,2,4,1,5,1,3,-1]],[[1,1,2,1],[2,1,1,1],[2,
1,4,1,3,-1,2,2,1,1,2,-1,4,-1,2,-1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,
1,3,-1,4,1,5,-2,4,2,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-2,3,-3,2,-1]],[[
1,1,2,1],[1,1,2,-1],[3,1,2,1,3,1,2,1,1,1],[4,1,5,-1,4,1,5,-1]]],[[[1,1,2,1],[
2,1,1,1],[1,1,2,-1,3,2,2,1,4,1,2,1,4,1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,
2,2,2,1,1,4,2,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,2,1,1,1,4,1,
2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,-1,2,-2,1,1,2,-1,3,1,4,
2]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,1,2,2,4,2,3,-1]],[[1,1,2,1],[2,1,1,
1],[2,2,3,2,4,1,2,1,1,1,4,2,3,-1]]],[[[1,1,2,1],[1,1,3,-1,2,1,1,1,2,-1,3,
1]],[[2,2],[3,1,2,1,1,1,3,1]],[[1,1,2,1],[1,1,2,-1,1,1,2,-1,3,2]]],[[[1,1,2,
1],[2,1,1,1],[2,1,4,-1,3,1,4,2,2,2,3,1,2,1,1,1]],[[2,1,1,1],[3,1,2,2,3,-1,2,
-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,5,1,3,2,4,1]]],[[[1,1,
2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,-1,4,1,5,-2,4,2,3,-1]],[[1,1,2,1],[2,1,1,1],[
3,1,2,1,3,1,4,-1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,3,4,2,2,1,1,1]]],[[[1,
1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,-1,4,1,5,-2,4,2,3,-1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1,4,-2,3,-3,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,
1,3,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-2,3,-1,5,-1,3,-2,2,-1,4,
-1]],[[2,1,1,1],[1,1,2,-1],[3,1,2,-1,1,1,3,1],[5,1,4,-1,5,1,4,-1]],[[1,1,2,
1],[2,1,1,1],[2,2],[4,1,3,-2,5,-1,4,-1,3,-1,5,-1]]],[[[1,1,2,1],[2,1,1,1],[3,
1,2,1,4,-4,3,-1,2,1,1,1]],[[1,1,2,-1],[2,2,1,1,2,-1,3,3,2,-1,1,1,2,1]],[[1,1,
2,1],[2,1,1,1],[4,1,2,1,4,1,3,-1,4,1,3,-2,2,-1]]],[[[2,1,1,1],[1,1,2,-1],[3,1,
2,1,3,1,2,-1,1,1,4,-1,3,1,2,2,4,1]],[[2,1,1,1],[1,1,2,-1],[3,1,2,-1,1,1,3,1],[
5,1,4,-1,5,1,4,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[4,1,3,-2,5,-1,4,-1,3,-1,5,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,2,2,1,1,1,3,-1,2,-1,3,-1,4,-1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,2,4,1,2,1,4,2]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1,
2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,1,4,-1,2,-1,4,-1,5,2,3,1]],[[1,
1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,2,2,-1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,
-2,4,-1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[3,2,4,1,2,1,4,-1]]],[[[1,1,2,1],[2,1,
3,1],[4,1,3,2,4,1,2,1,1,1]],[[1,1,2,1],[3,2,1,1,2,-1,3,1,2,1]]],[[[1,1,2,1],[
2,1,1,1],[2,1,3,2,4,-2,2,-1]],[[1,1,2,-1],[3,1,1,1,2,-1,3,1,1,1,2,1]]],[[[1,1,
2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-2,3,-1,5,-1,3,-2,2,-1,4,-1]],[[1,1,2,1],[2,
1,1,1],[3,1,4,-1,2,-1,3,1,2,1,4,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,-2,
4,1,2,-1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,2,1,3,3]]],[[[1,1,2,1],[2,1,1,1],[1,
1,2,-1],[2,2,4,-1,5,2,3,1,2,1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,-1,1,
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1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,3,1]],[[1,1,2,1],[3,1,1,1,2,-1,
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1],[2,1,1,1],[2,1,3,2,4,-2,2,-1]],[[1,1,2,1],[3,2,2,1,1,1,3,-1,2,-1,3,
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1]],[[2,1,1,1],[2,2,3,-1,1,1,2,1,3,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,3,
2,1,3,2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,-1,3,1,1,1,4,1]]],[[[1,1,2,
1],[1,1,2,-1],[2,2,3,1,2,1,1,1,3,-1,4,-2]],[[1,1,2,1],[2,1,3,1],[1,1,2,-1,3,1,
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3,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-2,3,-1]],[[2,1,1,1],[3,1,1,1,2,1,
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2,1,4,-1,3,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,1,4,-1,2,-1]],[[2,2],[3,
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1,1,3,-1,2,-1,3,-1,2,-1,3,-2]],[[2,1,1,1],[2,1,3,1,2,-1,1,1],[4,2,3,1]]],[[[1,
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1],[2,2,3,1,4,1,2,1,4,-1,3,1]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]]],[[[1,1,2,
1],[2,1,1,1,3,-1,2,-1,3,-1,2,-1,3,-2]],[[2,1,1,1],[2,1,3,-1,1,1,2,1],[3,1,4,
2]]],[[[1,1,2,1],[1,1,2,-2,3,-2,2,1,3,2,2,1,1,1]],[[1,1,2,1],[2,1,1,1,2,2,3,1,
1,1,2,-1,3,2]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,3,1,1,1,2,-1]]],[[[1,1,2,1],[1,1,
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1],[2,1,1,1,2,-1,3,-2,1,1,2,-1,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,
2,2,1,4,-1,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,-1,4,2,3,-1,4,1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1,4,2,2,1,4,-1,3,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,2,1,3,1,2,
1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,2,4,-1,2,-1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,3,-2,2,-1,3,2,2,1,4,-1]],[[1,1,2,1],[2,1,3,1],[3,1,4,1,2,1,
1,1,4,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,1,2,1,4,-1,3,1,4,1]],[[1,1,2,1],[
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1,1],[1,1,2,2,3,-1],[3,1,4,-1,3,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,
2,3,1,4,-1,3,-1,4,1,2,-1]],[[1,1,2,1],[1,1,2,-1,3,2,2,1,3,1,2,1,3,1]]],[[[1,1,
2,1],[2,1,1,1,2,-1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,
-2]]],[[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,-2,3,-2,2,-1]],[[1,1,2,1],[1,1,2,-1,3,
2,2,1,1,1,2,-2]]],[[[2,1,1,1],[2,2,3,-1,1,1,2,1,3,-1,2,-1]],[[1,1,2,1],[1,1,2,
-2],[4,1,3,1,4,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,-1,2,-1,
3,-1,5,1,4,-1,3,-1,2,-2]],[[1,1,2,1],[2,1,3,2],[2,1,1,1,4,2]]],[[[1,1,2,1],[2,
1,1,1],[1,1,2,-1],[5,2,3,1,4,-1,3,-1,4,1,2,-1]],[[1,1,2,1],[1,1,2,-1,1,1,2,-1,
3,-1,2,2,3,1]]],[[[1,1,2,1],[2,1,3,2],[2,1,1,1,4,2]],[[2,1,1,1],[3,1,2,-1,1,1,
3,1,2,-1]]],[[[1,1,2,1],[2,1,1,1,2,-1,3,-1,2,2,3,1]],[[1,1,2,-2,1,1,2,2,1,
1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,2,4,-1,2,-1]],[[2,1,1,1,2,2,1,1,2,-2,
1,1,2,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,-3]],[[1,1,2,1],[2,1,1,1,2,-1,
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1],[2,2,3,2,2,1,3,-1,1,1,2,1]]],[[[1,1,2,1],[2,1,1,1,2,-1,3,-2,1,1,2,-1,3,1,2,
1,3,1]],[[1,1,2,1],[2,1,1,1,2,2,3,1,1,1,2,-1,3,1,2,1]],[[1,1,2,1],[1,1,2,-2,3,
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1,2,-2,3,3,2,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-2,3,-1]],[[1,1,2,1],[
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1,1,1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-2,3,1]],[[2,2],[3,1,2,1,1,1,3,1]]],[[[1,
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3,-2,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,2,3,-2,2,-1]],[[2,1,1,1],[
2,2,3,1,2,1,3,-1,2,-1,1,1,3,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,2,1,3,1,2,1,1,1,2,
-1,3,-2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1],[3,1,4,2,3,-1]]],[[[1,1,2,1],[2,1,1,
1],[2,1,3,2,4,-2,3,-2]],[[1,1,2,1],[2,2,3,1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[
1,1,2,-1],[4,1,3,1,2,1,3,1,5,1,4,-1,3,-1,5,-2]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,
4,-1,3,2,2,1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1,2,1,1,1]]],[[[1,
1,2,1],[1,1,2,-1,3,-1,2,-1,3,-1,2,2,3,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[2,2,3,
1,4,1,2,1,4,-1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-2,3,-1]]],[[[1,
1,2,1],[2,1,1,1,2,-1,3,-2,1,1,2,-1,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,
2,2,1,3,2,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,-1,3,-2,4,-1]],[[1,
1,2,1],[2,1,1,1],[4,1,2,1,3,4,4,1]]],[[[1,1,2,1],[1,1,2,-1,3,-1,2,-1,3,-1,2,1,
1,1,3,2,2,1]],[[1,1,2,1],[1,1,2,-1,3,2,2,1,3,1,2,1,3,1]]],[[[1,1,2,1],[2,1,1,
1],[2,1,3,2,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1,2,-1],[4,1,3,-1,4,1,3,1]]],[[[1,1,
2,1],[2,1,1,1],[4,1,2,2,3,1,4,2,3,-1]],[[1,1,2,1],[1,1,2,-1,1,1,2,-1,3,-1,2,2,
3,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,3,1,4,-1]],[[2,1,1,1],[2,1,
3,1,2,-1,1,1,3,2,2,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,2,2,1,3,2,4,1]],[[1,1,2,
1],[2,1,1,1],[4,1,3,-1,2,-1,3,-1,4,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,
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2,1],[1,1,2,-1,3,1,2,1,1,1,2,-1,3,1]],[[2,1,1,1],[3,1,1,1,2,1,3,-1,2,-1]]],[[[
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1,1,2,1],[2,1,3,1,2,1,1,1,2,-1,3,-1]],[[1,1,2,1],[3,1,1,1,2,-1,1,1,2,-1,3,
1]]],[[[1,1,2,1],[1,1,2,-1,3,-1,2,-1,3,-1,2,2,3,1,2,1,1,1]],[[1,1,2,1],[2,1,1,
1],[3,1,4,3,2,1,3,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1]],[[1,1,2,1],[1,1,2,
-2,3,-2,2,1,1,1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,-1,4,1,5,-2,4,
2,3,-1]],[[2,1,1,1],[1,1,2,-1,3,-1,2,-1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[4,
1,2,1,3,3,1,1,4,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-1,3,2,4,
1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,1,2,1,4,-2,5,1,4,-1,1,1,3,-1,5,
-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,4,2]],[[1,1,2,1],[1,1,2,-1],[2,1,1,1,3,
1,2,1,3,1],[4,1,5,-1,4,1,5,-1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,
2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1,2,1,1,1]],[[2,-1,1,1,2,
1]],[[1,1,2,1],[1,1,2,-2,3,-2,2,1,3,2,2,1,1,1]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,
1,1,1,2,-1,3,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-2,2,-1,5,2,4,-2,3,
-1]],[[1,1,2,1],[1,1,2,-1],[4,2,2,-1,3,1,4,1,3,1,2,1,3,1]],[[2,1,1,1],[1,1,2,
-1,3,-1,1,1,2,1,1,1,3,1]],[[2,1,1,1],[3,2,2,-2,1,1,2,2,3,-1,1,1,2,-1]]],[[[2,
1,1,1],[2,2,3,-1,1,1,2,1,3,-1,2,-1]],[[1,1,2,-2,1,1,2,2,1,1]],[[2,2],[3,1,2,1,
1,1,3,1]],[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[
1,1,2,-1],[4,1,3,-2,2,-1,5,2,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,2,2,2,1,
1,4,2,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,2,2,4,-1,1,1,3,-1]],[[1,
1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,2,1,1,1,4,1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,
1],[2,2,3,1,4,1,2,-1,3,-2,4,-1]],[[2,1,1,1],[2,2,3,-1,1,1,2,1,3,-1,2,-1]],[[1,
1,2,1],[3,2,2,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,2,2,1,4,
1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,2,1,4,1,2,1,4,1,3,-1,4,1]],[[1,1,2,
1],[2,1,1,1],[4,1,2,1,4,-1,3,1,2,1,1,1,4,1,2,1,3,2]],[[1,1]],[[2,1,1,1],[3,2,
2,-2,1,1,2,2,3,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,2,1,4,1,2,1,
4,1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,2,2,1,4,1]],[[1,1,2,1],[2,
1,1,1],[4,1,2,1,4,1,3,-2,4,1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,
1,1,1,4,1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,-1,4,1,3,-2,2,
-1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,1,2,1,4,1,3,-1]],[[2,1,1,1,2,1,1,1,2,-1,
1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,1,4,-1,3,2,2,1]]],[[[1,1,2,1],[1,1,
2,-1],[2,1,1,1,2,2,3,1,4,-1,3,-1,2,1,4,-2]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,
4,-1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,1,3,1,1,1,2,-1,4,-1,5,
-1]],[[1,1,2,1],[1,1,2,-2,3,-2,2,1,1,1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,
-2,3,1,4,-1,3,1,4,1]],[[2,1,1,1],[3,1,2,2,3,-1,2,-1,1,1,2,-1]],[[1,1,2,-1,1,1,
2,1,1,1]],[[2,1,1,1],[2,1,3,1,2,-1,1,1,3,2,2,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,
3,-1,2,-2,1,1,2,-1,4,-1,3,-1,4,1,2,-1]],[[1,1,2,1],[3,-1,2,-2,3,1,2,1,3,1]],[[
1,1,2,1],[1,1,2,-1,3,-1,2,-1,3,-1,2,2,3,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1,3,1,2,
1,3,1,1,1,2,-1,3,1,2,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,-1,2,
-2,3,1,2,1,3,1,4,1,5,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,-1,2,-1,
3,2,4,1,5,-1]],[[1,1,2,1],[2,2,3,1,1,1,2,-1,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[3,
1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,
-1,2,-1,3,2,4,1,5,-1]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]],[[2,1,1,1],[1,1,2,
-1],[4,1,3,-2,2,-1,1,1,2,1,3,2,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,
1,4,1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-2,2,-1,5,2,4,-2,3,
-1]],[[1,1,2,1],[2,1,1,1,2,1,3,4,2,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,3,-1,2,1,
1,1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,2,1,3,2,4,1]]],[[[1,1,2,1],[2,
1,1,1],[2,2,3,1,4,1,2,1,1,1,2,1,3,2,4,-1]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,
-1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]],[[1,1,2,1],[2,1,
1,1],[4,1,2,1,3,3,1,1,4,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,
-1,3,-1,2,-1,3,-1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1,2,1,1,
1]],[[2,1,1,1],[2,1,3,-1,2,-1,1,1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,
1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]]],[[[1,1,2,1],[1,1,2,-1],[3,1,2,1,3,1,2,1,1,
1],[4,1,5,-1,4,1,5,-1]],[[2,1,1,1],[1,1,2,-1],[1,1,2,1,3,-2],[5,1,4,1,5,1,4,
1]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,2,1,4,-1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[1,
1,2,-1],[5,1,4,-1,5,1,3,2,4,1]]],[[[2,1,1,1],[1,1,2,-1],[1,1,2,1,3,-1,2,-1,3,
-1],[5,1,4,1,5,1,4,1]],[[1,1,2,1],[3,-1,2,-2,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,
1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]],[[1,1,2,1],[2,2,3,1,1,1,2,-1,3,2,2,
1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-2,3,-1,5,-1,3,-2,2,-1,4,-1]],[[
2,1,1,1],[1,1,2,-1],[3,1,2,-1,1,1,3,1],[5,1,4,-1,5,1,4,-1]],[[1,1,2,1],[2,1,1,
1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,-1,
4,1,3,-2,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,1,2,1,1,1,2,1,3,2,4,-1]],[[
1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1,2,1,1,1]],[[2,1,1,1],[1,1,2,-1],[4,1,
3,-2,2,-1,1,1,2,1,3,2,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,
1,3,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,-1,4,1,5,-2,4,2,3,-1]],[[1,1,
2,1],[3,1,2,1,1,1,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,1,2,1,1,1,3,-1,
2,-2,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]]],[[[2,1,1,
1],[1,1,2,-1],[3,1,2,-1,1,1,2,-2,4,2,3,-2,2,-1]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,
3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]],[[1,1,2,1],[2,
1,1,1],[1,1,2,-1],[5,1,4,-1,5,1,3,2,4,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[
5,1,4,-1,3,-1,2,-1,3,2,4,1,5,-1]],[[2,1,1,1],[2,1,3,1,2,-1,1,1,3,2,2,2]],[[1,
1,2,1],[2,1,1,1],[2,1,3,2,4,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,-2,
4,1,2,-1,4,-1]]],[[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1,1,1,2,-1,3,2]],[[2,1,1,1],[
2,1,3,1,2,-1,1,1,3,2,2,2]],[[1,1,2,-2,1,1,2,2,1,1]],[[1,1,2,1],[2,1,1,1],[3,1,
2,1,4,-1,3,2,2,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,
2]],[[2,1,1,1],[2,2,3,-1,1,1,2,1,3,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,
-1,3,2,2,1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1,2,1,1,1]]],[[[1,1,
2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]],[[2,1,1,1],[1,1,2,-1],[2,1,
3,2,4,-1,3,2,4,-1]],[[2,1,1,1],[2,2,3,-1,1,1,2,1,3,-1,2,-1]],[[1,1,2,1],[2,1,
1,1],[3,1,2,1,4,-1,3,2,2,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,3,2,1,3,2]],[[
2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1]],[[1,1,2,1],[1,1,2,-2,3,-2,2,1,1,1,3,-2]],[[
2,1,1,1],[2,2,3,-1,1,1,2,1,3,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,
4,-1,3,-1,2,-1,3,2,4,1,5,-1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,
2,3,1]],[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[1,1,2,1],[2,2,3,1,1,1,2,
-1,3,2,2,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,-1,2,-1,3,2,4,1,5,
-1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,2,3,1]],[[2,1,1,1],[2,2,
1,1,2,1,3,-2,2,-1]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1,1,1,2,-1,3,2]]],[[[1,1,2,
1],[2,1,1,1],[2,1,3,1,4,1,2,1,1,1,3,-1,2,-2,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,
2,-2,4,-1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]],[[
1,1,2,1],[1,1,2,-2,3,-2,2,1,1,1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,1,4,
-1,3,1,1,1,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,2,-1]],[[1,1,2,1],[2,1,1,
1],[4,1,2,1,4,1,3,-2,4,1,2,-1,4,-1]],[[2,1,1,1],[2,1,3,1,2,-1,1,1,3,2,2,
2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-2,2,-1,5,2,4,-2,2,-1]],[[1,1,2,
1],[2,1,1,1],[3,1,2,1,4,-1,3,2,2,1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,2,
1,4,1,2,1,4,1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,
2]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[5,1,4,-1,3,-1,2,-1,3,2,4,1,5,-1]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,
2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,2,1,1,1,3,-1,2,-2,4,-1]],[[1,1,2,
1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,2,2,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,
4,1,2,1,1,1,4,1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,1,2,-1,3,-2,4,
-1]],[[1,1,2,-2,1,1,2,2,1,1]],[[1,1,2,1],[1,1,2,-2,3,-2,2,1,3,2,2,1,1,1]],[[1,
1,2,1],[2,1,1,1,3,1,2,1,3,1,1,1,2,-1,3,2]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,
-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1,2,1,1,1]],[[2,-1,1,1,2,1]],[[
1,1,2,1],[2,1,1,1],[2,2,3,1,4,1,2,-1,3,-2,4,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,
1,3,1,4,-1,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,1,2,1,4,1,3,-1]]],[[[1,1,
2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,-1,2,-1,3,2,4,1,5,-1]],[[2,2],[3,1,2,1,
1,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]],[[1,1,2,1],[
2,1,1,1],[4,1,2,1,4,1,3,-1,4,1,3,-2,2,-1]],[[1,1,2,1],[2,2,3,1,1,1,2,-1,3,2,2,
1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,1,3,1,4,-1,2,-1,4,-1,5,
1]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,
3,-2,2,-1,5,2,4,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,
2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,
2,-1],[4,1,3,-2,2,-1,5,2,4,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,1,2,1,4,
1,3,-1]],[[2,1,1,1],[1,1,2,-1],[3,1,2,1,3,1,2,-1,1,1,4,-1,3,1,2,2,4,1]],[[1,1,
2,1],[2,1,1,1],[2,1,3,2,4,1,2,1,4,1,3,1,4,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[
1,1,2,-1],[5,2,3,1,2,1,4,-1,3,-1,4,1,5,-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,2,2,
1,3,2]],[[2,1,1,1],[3,1,1,1,2,1,3,-1,2,-1]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,1,2,1,1,1,2,1,3,2,4,-1]],[[1,1,2,1],[2,
2,3,1,1,1,2,-1,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1,2,1,1,
1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,-2,2,-1,4,-3,3,-1,5,-1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[3,2,2,1,4,-1,5,2,3,1,4,2]],[[1,1,2,1],[2,1,1,1],[1,1,
2,-1],[5,1,4,-1,2,-1,3,-2,5,1,3,2,4,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,
4,2]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1]],[[2,2],[3,1,2,1,1,1,3,1]]],[[[1,1,2,
1],[1,1,2,-2,3,-2,2,1,3,2,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,4,2]],[[
2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]]],[[[2,1,1,1],[1,1,2,-1],[3,1,2,-1,1,
1,2,-2,4,2,3,-2,2,-1]],[[1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,3,2,2,1]],[[1,1,2,
1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,
3,1,4,-1,3,1,1,1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,4,2]],[[1,1,2,1],[2,
1,1,1],[4,1,2,1,4,1,3,-2,4,1,2,-1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,3,2,1,
3,2]],[[2,1,1,1,2,-1]],[[2,1,1,1],[1,1,2,2,3,-1],[3,1,4,-1,3,1,4,-1]]],[[[1,1,
2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,-2,2,-1,4,-2,3,-2,5,-1]],[[1,1,2,1],[2,1,1,
1],[3,1,4,3,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,3,2,2,1,4,-1,1,1,
2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,-1,2,-2,4,-1,5,1,2,-1,3,1,4,
1]],[[1,1,2,1],[3,-1,2,-2,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,
1,1,4,1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,2,2,1,4,1]],[[1,1,2,
1],[2,1,3,1],[2,1,1,1,4,1,3,2,4,1]],[[1,1,2,1],[1,1,2,-1,1,1,2,-1,3,2]]],[[[1,
1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,4,2,3,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[3,
1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,1,3,1,1,
1,2,-1,4,-1,5,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,1,4,-1,3,1,4,1]],[[1,1,
2,1],[2,1,1,1],[2,1,3,1],[5,1,4,2,5,1,3,1]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,
-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]],[[1,1,2,1],[1,
1,2,-1,3,-2,2,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1],[5,1,3,-1,4,2,
3,-1,5,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,1,4,-1,3,2,2,1]],[[1,1,2,1],[2,1,
1,1],[2,1,4,2,2,1,3,2,4,1]],[[1,1,2,1],[1,1,2,-1,3,2,1,1,2,-1]]],[[[1,1,2,1],[
2,1,1,1],[2,1,3,2,4,1,2,1,4,2]],[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[
1,1,2,1],[2,2,3,1,1,1,2,-1,3,2,2,1]]],[[[1,1,2,1],[2,1,3,1],[3,1,4,-1,1,1,2,
-1,1,1,2,-1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,3,2,-1,3,-1]],[[2,
1,1,1],[3,1,1,1,2,1,3,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,3,-1,5,
-1,3,1,5,1,4,-1]],[[2,1,1,1],[2,1,3,1,2,-1,1,1,3,2,2,2]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-2,3,1,4,-1,3,1,1,1,4,1]]],[[[1,1,2,1],[1,1,2,-2,3,-2,2,1,3,2,2,1,1,
1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,4,2]],[[2,1,1,1],[2,1,3,1,2,-1,1,1,3,2,
2,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,2,4,-1,2,-1]],[[1,1,2,-2,1,1,2,2,1,
1]],[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]]],[[[2,1,1,1],[3,1,2,2,3,-1,2,
-1,1,1,2,-1]],[[1,1,2,1],[1,1,2,-1,3,2,1,1,2,-1]],[[2,2],[3,1,2,1,1,1,3,
1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,-1,2,-1,3,2,4,1,5,-1]],[[2,
1,1,1],[2,2,3,2,2,1,3,-1,1,1,2,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,2,
-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,-2,4,1,2,-1,4,-1]],[[1,1,2,1],[1,1,
2,-1,3,2,1,1,2,-1]],[[2,1,1,1],[2,1,3,1,2,-1,1,1,3,2,2,2]]],[[[2,1,1,1],[2,2,
3,-1,1,1,2,1,3,-1,2,-1]],[[1,1,2,1],[1,1,2,-1,3,2,1,1,2,-1]],[[2,1,1,1],[3,1,
2,2,3,-1,2,-1,1,1,2,-1]]],[[[1,1,2,1],[1,1,2,-2,3,-2,2,1,3,2,2,1,1,1]],[[2,1,
1,1],[1,1,2,2,3,-1],[3,1,4,-1,3,1,4,-1]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1,1,1,
2,-1,3,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,-1,3,-1,2,-1,3,-1,2,1,1,
1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[
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1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]]],[[[1,1,2,1],[2,1,
1,1],[1,1,2,-1,3,2,2,1,4,1,2,1,4,1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,
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3,-1]]],[[[2,1,1,1],[3,1,2,2,3,-1,2,-1,1,1,2,-1]],[[1,1,2,-1,1,1,2,1,1,1]],[[
2,2],[3,1,2,1,1,1,3,1]]],[[[1,1,2,1],[2,-2,3,2]],[[1,1,2,-1,1,1,2,1,1,1]],[[2,
-1,1,1,2,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,3,2,-1,3,-1]],[[1,1,2,
1],[2,1,1,1,3,2,2,1,1,1,2,-1,3,2]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,2,4,-1,2,
-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,3,2,-1,3,-1]],[[2,1,1,1],[1,1,2,
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1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-2,2,-1,5,2,4,-2,3,-1]],[[1,1,2,1],[2,1,1,
1],[4,1,3,1,2,1,3,1,2,1,4,-1,3,-1,4,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[4,1,3,-1,2,-2,5,2,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1,1,1,2,-1,3,
1,2,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,1,4,-1,3,1,1,1,4,1]]],[[[1,1,2,1],[2,
1,1,1],[2,1,4,1,3,-1,4,1,2,-1,3,-2,2,1,1,1]],[[2,2],[3,1,2,1,1,1,3,1]],[[2,1,
1,1],[3,1,2,2,3,-1,2,-1,1,1,2,-1]]],[[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,
1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,
-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,1,4,-1,3,1,4,1]],[[1,1,2,1],[2,1,1,
1],[4,1,2,1,3,2,4,-1,3,-1]],[[1,1,2,1],[1,1,3,-1,2,1,1,1,2,-1,3,1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,2,2,3,1,2,1,1,1,2,1,4,-1,3,1,4,1]],[[1,1,2,1],[3,1,2,1,1,1,
2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,-1,1,1,2,-1,3,1,2,1,3,1,4,1]]],[[[
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1,1,2,-2,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,1,4,-1,3,2,2,1]]],[[[1,1,2,1],[
2,1,1,1],[3,2,2,1,4,1,2,1,4,1,3,-1]],[[2,1,1,1],[3,1,1,1,2,1,3,-1,2,-1]],[[1,
1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,3,2,2,1]]],[[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,1,
2,1,4,1,3,-1]],[[2,1,1,1],[2,1,3,-1,1,1,2,1],[4,2,3,1]],[[1,1,2,1],[2,-1,1,1,
2,-1,1,1,2,-1,3,2,2,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,-2,4,1,2,-1,4,
-1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,1,2,1,4,1,3,1,2,1,3,1]],[[2,1,1,1],[2,1,3,1,
2,-1,1,1,3,2,2,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,1]],[[2,1,1,
1],[2,2,1,1,2,1,3,-2,2,-1]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]]],[[[1,1,2,1],[
2,1,1,1],[1,1,2,-1,3,1,4,2,2,2,3,1,2,1,3,1]],[[2,1,1,1],[1,1,2,-1],[1,1,2,1,3,
-2],[5,1,4,1,5,1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,1,1,3,-1,4,1,3,-1,
2,-1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,2,1,4,2]],[[2,1,1,1],[3,1,1,1,
2,1,3,-1,2,-1]],[[1,1,2,1],[2,2,3,1,1,1,2,-1,3,2,2,1]]],[[[1,1,2,1],[2,1,1,
1],[1,1,4,-1,3,1,4,2,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,2,2,1,3,2,4,
1]],[[2,1,1,1],[3,1,2,1,3,1,2,-1,1,1],[1,1,2,-1,4,-2]]],[[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[5,1,4,-2,3,-1,5,-1,3,-2,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[2,
2],[5,1,3,2,4,1,5,-1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,
-1,4,1,2,-1,5,2,2,-1,3,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[1,1,2,-1,3,1,5,1,
4,1,5,1,3,1,4,1]],[[1,1,2,1],[3,-1,2,-2,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,
1,3,-1,2,-2,3,1,2,1,3,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,1,4,-1,3,2,2,
1]],[[1,1,2,1],[2,1,1,1],[2,1,4,2,2,1,3,2,4,1]],[[2,1,1,1],[3,1,2,1,3,1,2,-1,
1,1],[4,2,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-2,2,-1,5,2,4,-2,
3,-1]],[[1,1,2,1],[2,1,1,1,2,1,3,4,2,1]],[[1,1,2,1],[1,1,2,-1],[3,2,2,2,1,1],[
4,1,5,-1,4,1,5,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,2,1,4,2]],[[1,1,2,1],[
2,1,1,1,3,1,2,1,3,1,1,1,2,-1,3,1,2,1]],[[1,1,2,1],[2,2,3,1,1,1,2,-1,3,2,2,
1]]],[[[1,1,2,1],[1,1,2,-2,3,-2,2,1,1,1,3,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[5,1,4,2,5,1,3,1]],[[2,1,1,1],[3,1,1,1,2,1,3,-1,2,-1]]],[[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[5,1,3,-1,2,-1,3,-1,4,-1,5,1,2,-1,3,1,4,1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1,3,2,4,1,3,-2,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,
-1,3,-1,2,-1,5,1,4,-1,1,1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-2,
2,-1,5,2,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[5,1,4,2,5,1,3,1]],[[1,1,2,
1],[3,1,2,1,1,1,2,-1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,2,3,1,5,
1,3,1,4,2,5,-1]],[[1,1,2,1],[2,1,1,1],[3,2,4,2,2,1,3,2]],[[2,1,1,1,2,1,1,1,2,
-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,1]],[[2,1,1,1],[3,1,
2,2,3,-1,2,-1,1,1,2,-1]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]]],[[[1,1,2,1],[2,
1,1,1],[1,1,2,-1],[3,1,4,-2,5,2,4,-1,3,-1,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[4,
1,3,-1,2,-2,3,1,2,1,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,
2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-2,2,-1,5,2,4,-2,3,-1]],[[
1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,1,4,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,2,2,
1,1,1,4,1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,2,2,1,3,2]],[[2,2],[3,1,2,1,
1,1,3,1]],[[2,1,1,1],[3,1,2,1,3,-1,1,1,2,1,3,1,2,2]]],[[[1,1,2,1],[2,1,1,1],[
1,1,2,-1],[3,1,4,-2,5,2,4,-1,3,-1,2,-1,3,-1]],[[1,1,2,1],[1,1,2,-1],[4,1,2,1,
1,1,3,-1,2,-2,4,2,2,-1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,
1,3,2]]],[[[1,1,2,1],[2,1,1,1,2,1,3,4,2,1]],[[1,1]],[[1,1,2,1],[1,1,2,-1,3,1,
1,1,3,-1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,1,1,4,1,2,2,3,1,
4,-1,5,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,3,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[4,1,
2,1,3,3,1,1,4,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,2,2,1,1,1,4,1,2,-1,3,
-2]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,
1,1,1,4,1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,4,4,1]],[[2,1,1,1],[3,1,
2,-1,1,1,3,1,2,-1]],[[1,1,2,1],[1,1,3,-1,2,1,1,1,2,-1,3,1]]],[[[1,1,2,1],[2,1,
1,1],[4,1,3,-1,2,-2,3,1,2,1,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,3,2,1,3,
2]],[[1,1,2,1],[1,1,2,-2,3,-2,2,1,1,1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[4,1,5,-1,3,-1,4,1,5,1,3,1]],[[1,1]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,
-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,2,2,1,3,2]],[[2,2],[3,1,2,1,1,1,3,1]],[[1,
1,2,1],[2,1,3,1],[4,1,2,1,1,1,3,-1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1],[
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1],[2,1,1,1],[3,1,4,3,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,2,2,1,3,2]],[[2,
1,1,1],[2,2,1,1,2,1,3,-2,2,-1]],[[2,1,1,1],[3,1,2,1,3,-1,1,1,2,1,3,1,2,
2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1],[5,1,3,-1,4,2,3,-1,5,1]],[[1,1,2,1],[2,
1,1,1],[1,1,2,-2,4,-1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,3,2,1,3,2]]],[[[1,
1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,1,3,1,1,1,2,-1,4,-1,5,-1]],[[1,1,2,1],[2,1,
1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,
-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,-2,2,-1,4,-2,3,-2,5,-1]],[[1,1,
2,1],[2,1,1,1],[4,1,3,2,2,2,1,1,4,2,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,
3,1,4,1,3,2,2,1,4,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,3,1],[2,1,1,1,4,1,3,2,4,
1]],[[1,1]],[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]]],[[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[5,1,3,1,2,1,3,1,4,-2,3,-1,5,-1]],[[2,1,1,1],[1,1,2,-1],[3,2,2,
-1,1,1],[5,1,4,-1,5,1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,-1,4,1,3,-2,2,-1]],[[1,1,2,-1],[2,2,
1,1,2,-1,3,3,2,-1,1,1,2,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,-1,4,2,3,-1,4,
1]]],[[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,1,2,1,1,1,2,1,3,2,4,-1]],[[1,1,2,1],[2,
1,1,1,3,1,2,1,3,1,1,1,2,-1,3,2]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1,2,
1,1,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,3,1,2,1,3,1,4,-1]],[[1,1,2,1],[
2,1,1,1],[2,1,3,1],[5,1,4,2,5,1,3,1]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1]]],[[[
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4,2]],[[1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,3,2,2,1]]],[[[1,1,2,1],[2,1,1,1],[4,
1,2,1,3,3,1,1,4,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,2,4,-1,2,-1]],[[
1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,3,2,2,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[
2,2,4,-1,5,2,3,1,2,1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[2,2],[4,1,3,-1,5,-1,4,-1,
3,-2,5,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,1,4,1,2,-1,5,1,3,1,2,
1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,-1,4,1,5,-2,4,2,3,-1]],[[1,1,2,
1],[2,1,1,1],[2,1,4,-1,3,2,4,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,
1,1,4,1,2,1,3,2]]],[[[1,1,2,1],[1,1,2,-1],[4,1,3,2,2,2,1,1,2,2,4,1,3,1]],[[1,
1,2,1],[2,1,1,1],[4,1,3,2,2,2,1,1,4,2,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,
1,4,-1,3,1,2,1,1,1,4,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,2,2,4,-1,
1,1,3,-1]]],[[[1,1,2,1],[1,1,2,-1],[4,2,3,1,1,1,2,-1,3,-1,2,-1,3,-1]],[[1,1,2,
1],[2,1,1,1],[2,1,4,-1,3,2,4,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,
2,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1],[5,1,3,-1,4,2,3,-1,5,1]],[[1,1,2,
1],[1,1,2,-2,3,-2,2,1,1,1,3,-2]],[[1,1,2,1],[2,1,1,1],[3,1,4,3,2,1,3,2]]],[[[
1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,4,2,3,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[
3,2,4,2,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,1,3,1,1,1,2,-1,4,-1,5,
-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,1,4,-2,5,2,4,-1,3,-1,2,-1,3,-1]],[[
1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,
3,3,1,1,4,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-1,3,2,4,1]],[[1,
1,2,1],[2,1,1,1],[3,2,4,2,2,1,3,2]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1]]],[[[1,
1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,-1,2,-1,3,2,4,1,5,-1]],[[2,1,1,1],[3,
1,2,1,3,-1,1,1,2,1,3,1,2,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,4,2,-1,3,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,2,1,4,2]],[[2,1,1,1],[3,1,1,1,2,1,3,
-1,2,-1]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1,1,1,2,-1,3,1,2,1]]],[[[1,1,2,1],[2,
1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,
3,1,4,-3,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,5,1,3,2,4,1]]],[[[1,
1,2,1],[2,1,1,1],[3,1,2,1,4,-4,3,-1,2,1,1,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,3,
-1,2,1,1,1]],[[1,1,2,-1],[2,2,1,1,2,-1,3,3,2,-1,1,1,2,1]]],[[[1,1,2,1],[2,1,1,
1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1,2,-1,3,1,1,1,2,-2,3,
1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,
1],[3,1,4,2,2,1,1,1,4,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,
4,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1,2,1,1,1]]],[[[1,1,2,
1],[2,1,1,1,3,1,2,1,3,1,1,1,2,-1,3,1,2,1]],[[1,1,2,1],[2,1,3,2,2,1,1,1,2,-1,3,
-2]],[[1,1,2,-1,1,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1,2,1,
1,1]],[[1,1,2,1],[2,1,1,1,2,-1,3,-2,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,
1,4,-2,3,-1]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[2,2,
3,1,4,1,2,1,1,1,2,1,4,1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,2,
1,3,1,4,-2,3,-1,5,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1,2,1,1,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1,2,1,1,1]],[[1,1,2,-1],[3,1,2,
-1,1,1,2,1],[3,1,4,2]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-1,3,2,4,1]]],[[[1,
1,2,1],[2,1,1,1,3,1,2,1,3,1,1,1,2,-1,3,2]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,
4,2]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,
1,4,-1,3,1,1,1,4,1]],[[1,1,2,1],[2,1,3,2,1,1,2,-1,3,2,2,1]],[[2,1,1,1],[2,1,3,
1,2,-1,1,1,3,2,2,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,1,4,-1,3,1,4,1]],[[1,
1,2,1],[2,1,3,2,2,1,1,1,2,-1,3,-2]],[[2,-1,1,1,2,1]]],[[[1,1,2,1],[2,1,1,1],[
1,1,2,-1],[4,1,2,2,3,1,5,1,3,1,4,2,5,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,
-1,4,1,3,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,
2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,1,1,2,-1,4,-1,3,-1,4,1,2,-1]],[[1,1,
2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-2,3,1,4,-1,3,1,4,1]]],[[[1,1,2,1],[1,1,2,-1],[2,1,3,1],[4,1,3,-1,5,-1,4,1,3,
1,5,1]],[[1,1,2,-1,1,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,1,2,1,4,1,3,
-1]]],[[[1,1,2,1],[1,1,2,-1],[4,1,2,1,1,1,3,-1,2,-2,4,2,2,-1,3,1]],[[1,1,2,
1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]],[[1,1,2,1],[1,1,2,-1,3,-1,2,
-1,3,-1,2,2,3,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,1,1,2,-1,4,-1,
3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]],[[1,1,
2,1],[3,-1,2,-2,3,1,2,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,1,2,1,1,1,4,1,
2,1,4,1,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-1,3,2,4,1]],[[1,1,2,1],[2,
1,1,1],[2,1,3,1],[4,1,5,1,3,1,1,1,2,-1,4,-1,5,-1]]],[[[1,1,2,1],[2,1,1,1],[4,
1,3,-1,2,-2,3,1,2,1,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,3,2,1,3,2]],[[1,1,
2,1],[2,1,1,1],[3,1,2,1,4,-1,3,2,2,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,
1,4,-1,3,2,4,1]],[[1,1,2,1],[2,1,3,2,1,1,2,-1,3,-1,2,1,1,1]],[[2,1,1,1],[1,1,
2,-1,3,-1,1,1,2,1,1,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,1,4,
-1,2,-1,5,1,3,2,2,1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,-2,2,-1,3,-1,
4,1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-2,2,-1,5,2,4,-2,2,
-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]],[[1,1,2,1],[1,
1,2,-1],[4,1,3,1,2,1,4,1,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,-1,
4,1,3,-2,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,1]],[[1,1,2,1],[2,
1,1,1],[3,2,4,2,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[4,1,2,-2,4,-1,3,-2,2,-1]]],[[[
1,1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[3,2,4,2,2,1,
3,2]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,2,2,1,
3,2]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,1,1,2,-1,4,-1]],[[2,1,1,1],[3,1,2,1,3,-1,
1,1,2,1,3,1,2,2]]],[[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,1,2,-1,3,-2,4,-1]],[[1,1,
2,1],[2,1,1,1],[4,1,2,1,3,4,4,1]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1,1,1,2,-1,3,
1,2,1]]],[[[1,1,2,1],[1,1,2,-1],[4,2,3,1,1,1,2,-1,3,-1,2,-1,3,-1]],[[2,1,1,
1],[3,1,2,-1,1,1,3,1,2,-1]],[[1,1,2,1],[2,1,1,1,3,2,2,1,1,1,2,-1,3,2]]],[[[1,
1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1,2,-1,3,1,
1,1,2,-2,3,1]],[[1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,3,2,2,1]]],[[[1,1,2,1],[2,1,
1,1],[1,1,2,-1],[5,1,4,-1,3,-1,2,-2,3,1,2,1,3,1,4,1,5,-1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[4,2,3,-1,5,2,3,2,2,1]],[[1,1,2,1],[1,1,2,-1,3,-1,2,-1,3,-1,2,2,
3,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,1]],[[1,1,2,1],[2,1,
1,1],[3,1,2,1,3,1,4,2]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]]],[[[1,1,2,1],[2,1,
1,1],[2,2,3,1,4,1,2,-1,3,-2,4,-1]],[[1,1,2,1],[2,1,1,1,2,-1,3,1,1,1,2,-2,3,
1]],[[1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,3,2,2,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,
1,1,4,1,2,1,1,1,4,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,4,1,3,-2,
2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,1,4,-1,3,1,1,1,4,1]],[[2,2],[3,1,2,1,
1,1,3,1]]],[[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1,1,1,2,-1,3,2]],[[1,1,2,1],[2,1,1,
1],[4,1,2,1,3,2,4,-1,3,-1]],[[1,1,2,1],[1,1,3,-1,2,1,1,1,2,-1,3,1]]],[[[1,1,2,
1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,
4,3,2,1,1,1]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]]],[[[2,1,1,1],[1,1,2,-1],[3,
1,2,-1,1,1,2,-2,4,2,3,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-1,3,1,4,-2,1,
1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,4,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,
1,1,4,1,2,1,1,1,4,1,2,1,3,2]],[[2,1,1,1],[1,1,2,-1],[3,2,2,-1,1,1],[5,1,4,-1,
5,1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,1]]],[[[2,1,1,1],[1,1,2,
-1],[2,1,3,2,4,-1,3,2,4,-1]],[[2,1,1,1],[1,1,2,2,3,-1],[3,1,4,-1,3,1,4,-1]],[[
1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,2,2,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[5,1,3,1,2,1,3,1,4,1,2,2,4,-1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-2,3,
-3,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,2,1,3,1,4,-2,3,-1,5,
-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-2,1,1,2,-1,4,-1,3,-1,4,1,2,-1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1,3,-1,4,2,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,
3,-1,4,1,3,-2,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,1,4,-1,3,1,4,1]],[[1,
1,2,1],[2,1,3,2,2,1,1,1,2,-1,3,-2]],[[1,1,2,1],[1,1,3,-1,2,1,1,1,2,-1,3,
1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,-1,2,-1,3,2,4,1,5,-1]],[[1,
1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,2,3,1]],[[2,2],[3,1,2,1,1,1,3,
1]],[[1,1,2,1],[2,2,3,1,1,1,2,-1,3,2,2,1]]],[[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,
1,2,1,1,1,2,1,4,1,3,-1,4,1]],[[2,1,1,1],[1,1,2,-1,3,-1,2,-1,1,1,2,1,3,2]],[[1,
1,2,1],[1,1,2,-1],[4,1,3,2,2,1,1,1,2,-1,3,-2,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,
2,1,3,3,1,1,4,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,2,1,4,-1,
3,-1,4,1,5,-1]],[[1,1,2,-1],[2,2,1,1,2,-1,3,3,2,-1,1,1,2,1]],[[1,1,2,1],[2,1,
1,1],[1,1,2,-1,3,1,4,4,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,-1,4,1,
3,-2,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-2,3,-1,5,-1,3,-2,2,-1,4,
-1]],[[2,1,1,1],[1,1,2,-1],[3,1,2,-1,1,1,3,1],[5,1,4,-1,5,1,4,-1]],[[1,1,2,
1],[2,1,1,1],[2,2],[4,1,3,-2,5,-1,4,-1,3,-1,5,-1]],[[1,1,2,1],[2,1,1,1],[4,1,
2,1,4,1,3,-1,4,1,3,-2,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,
2,1,3,2]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,
3,1,1,4,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,3,4,2,2,1,1,1]]],[[[1,1,2,1],[
2,1,1,1],[1,1,2,-1],[5,1,3,-1,4,1,5,-2,4,2,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,
1,3,1,4,-1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,
2]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,
1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]],[[1,1,2,1],[1,1,2,-2,3,-2,2,1,3,2,2,1,1,
1]],[[2,1,1,1],[2,1,3,1,2,-1,1,1,3,2,2,2]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,
1,1,4,1,2,1,1,1]]],[[[2,1,1,1],[2,2,3,-1,1,1,2,1,3,-1,2,-1]],[[2,1,1,1,2,2,1,
1,2,2]],[[2,1,1,1,2,-1]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1]]],[[[1,1,2,1],[2,
1,1,1],[1,1,2,-1],[4,1,3,-2,2,-1,5,2,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,
2,2,2,1,1,4,2,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,2,1,4,1,2,1,4,1,
3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,2,1,1,1,4,1,2,1,3,2]]],[[[1,
1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,4,2,2,1,4,-1,3,1,4,1,5,-1]],[[1,1,2,1],[
2,1,1,1],[2,2,4,1,2,1,3,2,4,1,2,-1,3,-2]],[[2,1,1,1],[3,2,2,-2,1,1,2,2,3,-1,1,
1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[5,1,2,1,4,-1,3,1,4,1,5,1,4,1,5,1,3,
1]]],[[[1,1,2,1],[1,1,2,-2,3,-2,2,1,3,2,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-2,3,1,4,-1,3,1,1,1,4,1]],[[2,1,1,1],[2,1,3,1,2,-1,1,1,3,2,2,2]],[[1,1,2,1],[
2,1,1,1,3,1,2,1,3,1,1,1,2,-1,3,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,
-1,4,1,5,-2,4,2,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-2,3,-3,2,-1]],[[1,1,
2,1],[1,1,2,-1],[3,1,2,1,3,1,2,1,1,1],[4,1,5,-1,4,1,5,-1]],[[1,1,2,1],[2,1,1,
1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,
3,-1,4,1,5,-2,4,2,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-1,3,2,4,1]],[[1,
1,2,1],[1,1,2,-1],[3,1,2,1,3,1,2,1,1,1],[4,1,5,-1,4,1,5,-1]],[[1,1,2,1],[2,1,
1,1],[4,1,2,1,3,3,1,1,4,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,2,2,1,1,1,3,
-1,2,-1,3,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,2,1,4,2]],[[1,1,2,1],[2,
-1,1,1,2,-1,1,1,2,-1,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1,2,1,
1,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,2,2,1,4,-1,3,1,4,1,2,1,1,1]],[[1,1,2,
1],[2,1,1,1],[2,1,4,-1,3,2,4,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,1,4,
-1,2,-1,4,-1,5,2,3,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,1,4,-2,5,2,4,
-1,3,-1,2,-1,3,-1]],[[2,1,1,1],[1,1,2,-1],[1,1,2,1,3,-2],[5,1,4,1,5,1,4,1]],[[
1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,2,3,1]]],[[[1,1,2,1],[2,1,1,1],[
1,1,2,-1],[3,1,2,1,4,-2,5,3,2,-1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[5,
1,4,2,5,1,3,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,-1],[4,2,1,1,2,-1]]],[[[2,1,1,
1],[1,1,2,-1],[3,1,2,-1,1,1,3,1],[5,1,4,-1,5,1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,
2,4,2,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,2,2,4,-1]]],[[[1,1,2,1],[2,
1,1,1],[1,1,2,-1],[2,1,4,-1,3,-1,4,1,5,-1,2,1,3,2,4,-1,5,1]],[[1,1,2,1],[2,1,
1,1],[2,1,3,1],[4,1,3,-1,5,-1,3,1,5,1,4,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[
5,1,3,-1,4,2,5,1,3,-1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,
1,4,-1,2,-1,5,1,4,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[5,1,4,2,5,1,3,
1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,-1],[4,2,1,1,2,-1]]],[[[2,1,1,1],[1,1,2,
-1],[3,1,2,-1,1,1,2,-2,4,2,3,-2,2,-1]],[[1,1,2,1],[2,1,3,1],[4,1,3,2,4,1,2,1,
1,1]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,
2,1,1,1,4,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[4,1,2,-2,4,-1,3,-2,2,-1]],[[2,1,1,
1],[1,1,2,-1],[3,1,2,-1,1,1,3,1],[4,1,5,-1,4,1,5,-1]]],[[[1,1,2,1],[2,1,1,1],[
1,1,2,-1],[5,1,3,1,2,1,3,1,4,1,2,2,4,-1,5,1]],[[2,1,1,1],[1,1,2,-1],[3,2,2,-1,
1,1],[5,1,4,-1,5,1,4,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,3,4,2,2,1,1,1]]],[[[1,1,
2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,-1,2,-1,5,1,4,-1,3,-1,2,-2]],[[1,1,2,
1],[2,1,1,1],[3,2,4,2,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,2,4,-2,
3,-1,5,-2]]],[[[2,1,1,1],[1,1,2,-1],[2,1,3,1],[1,1,2,1,5,-1,3,-1,4,2,3,-1,5,
-1]],[[2,1,1,1],[2,1,3,-1,1,1,2,1],[3,1,4,1,3,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[
4,1,2,1,4,-1,3,1,2,1,1,1,4,1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,2,
1,4,2]],[[1,1,2,1],[2,2,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1,1,1,2,
-1,3,1,2,1]]],[[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,1,2,1,1,1,2,1,3,2,4,-1]],[[2,1,
1,1],[1,1,2,-1],[3,2,2,-1,1,1],[5,1,4,-1,5,1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,
2,-1],[5,2,2,-1,3,1,5,1,3,1,4,2]]],[[[2,1,1,1],[1,1,2,-1],[3,1,2,-1,1,1,2,-2,
4,2,3,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,4,-2,5,1,3,2,2,1]],[[
1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,
3,2,4,-1,3,1,4,-2,1,1,2,-1]],[[2,1,1,1],[1,1,2,-1],[3,1,2,-1,1,1,3,1],[5,1,4,
-1,5,1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]]],[[[1,1,
2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,-1,4,1,5,-2,4,2,3,-1]],[[2,1,1,1],[1,1,2,
-1],[1,1,2,1,3,-2],[5,1,4,1,5,1,4,1]],[[1,1,2,1],[1,1,2,-1],[3,1,2,1,3,1,2,1,
1,1],[4,1,5,-1,4,1,5,-1]]],[[[2,1,1,1],[1,1,2,-1],[3,1,2,-1,1,1,2,-2,4,2,3,-2,
2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-2,3,-3,2,-1]],[[1,1,2,1],[1,1,2,-1],[
3,1,2,1,3,1,2,1,1,1],[4,1,5,-1,4,1,5,-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,
-1,1,1,2,-1,3,1,2,1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[3,2,4,2,2,1,3,2]],[[1,1,2,
1],[2,1,1,1],[2,1,3,3,4,2,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-2,3,
-3,2,-1]],[[1,1,2,1],[2,1,1,1],[3,2,4,2,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[3,1,2,
1,3,1,4,-1,3,2,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,
2]],[[1,1,2,1],[2,1,1,1,2,-1,3,1,1,1,2,-2,3,1]],[[1,1,2,1],[1,1,2,-1,3,-4,2,
-1,1,1,2,-1]]],[[[2,1,1,1],[1,1,2,-1],[3,1,2,-1,1,1,2,-2,4,2,3,-2,2,-1]],[[1,
1,2,1],[2,1,1,1],[3,1,4,2,2,1,1,1,4,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[3,1,1,
1,4,1,2,1,1,1,4,1,2,1,3,2]]],[[[1,1,2,1],[2,1,3,1],[1,1,2,-1,3,-1,4,-1,3,1,4,
1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,3,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[2,1,
4,-1],[5,1,3,-1,4,2,3,-1,5,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,-1,4,
1,5,-2,4,2,3,-1]],[[2,1,1,1],[3,1,2,2,1,1,2,2,1,1,3,2]],[[1,1,2,1],[2,1,1,1],[
3,2,2,1,4,-1,1,1,2,-1,3,1,2,1,3,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,
1,1,1,4,1,2,1,3,2]],[[2,1,1,1],[3,1,2,2,1,1,2,2,1,1,3,2]],[[1,1,2,1],[3,1,2,1,
1,1,2,-1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,-1,4,1,3,-2,2,-1]],[[1,
1,2,1],[2,1,1,1],[3,2,4,2,2,1,3,2]],[[2,1,1,1],[1,1,2,-1],[3,1,2,-1,1,1,3,1],[
4,1,5,-1,4,1,5,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,1,1,1,4,1,5,-2,4,1,3,
-1,4,-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],[1,1,2,
-1,3,-4,2,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-2,3,-3,2,-1]],[[2,
1,1,1],[1,1,2,-1],[1,1,2,1,3,-2],[5,1,4,1,5,1,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,
2,1,3,1,4,-1,3,2,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,2,2,1,4,1]],[[1,
1,2,1],[2,1,1,1],[4,1,2,1,3,3,4,2]],[[2,1,1,1],[2,1,3,1,2,-1,1,1,3,2,2,
2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,3,-1,5,-1,3,1,5,1,4,-1]],[[2,1,1,
1],[2,1,3,1,2,-1,1,1,3,2,2,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,1,4,-1,3,1,4,
1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,-2,2,-1,3,-1,4,1,2,-1,4,-1]],[[1,
1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,2,3,1]],[[1,1,2,1],[1,1,2,-2,3,-2,
2,1,3,2,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,-2,2,-1,3,2,2,
1,4,1,5,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,2,2,1,4,-1,3,1,4,1,2,1,1,1]],[[1,
1,2,1],[2,1,1,1],[4,1,2,2,3,1,1,1,2,-1,3,1,2,1,3,1,4,-1]]],[[[1,1,2,1],[2,1,1,
1],[4,1,2,-1,3,-2,2,1,1,1,3,-1,2,-2,4,-1]],[[2,1,1,1],[1,1,2,1,3,2,2,1,1,1,3,
1,2,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,2],[4,1,5,1,4,-1,5,-1]]],[[[2,1,1,1],[3,1,
2,1,3,1,2,-1,1,1],[1,1,2,-1,4,-2]],[[1,1,2,1],[2,1,1,1],[2,1,4,2,2,1,3,2,4,
1]],[[2,1,1,1],[2,1,3,-1,1,1,2,1,3,1],[4,2,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[
4,1,3,-1,2,-2,3,1,2,1,3,1,4,-1]],[[1,1,2,1],[2,1,3,1],[3,1,4,1,2,1,1,1,4,1,3,
1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,3,-1,2,1,1,1]]],[[[2,1,1,1],[1,1,2,-1],[1,1,
2,1,3,-2],[5,1,4,1,5,1,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,2]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,
3,-1,4,1,5,-2,2,-1,3,-2,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,3,2,2,1,
4,-1,1,1,2,-1]],[[2,1,1,1],[1,1,2,-1],[2,1,3,1],[5,1,3,1,4,-2,3,1,5,1,2,-1,1,
1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,2,2,1,4,-1,5,2,3,1,4,2]],[[1,1,2,1],[
2,1,1,1],[4,1,2,1,3,3,1,1,4,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,
-1,3,-1,2,-1,3,-1,2,1,1,1]]],[[[1,1,2,1],[1,1,2,-1],[4,1,3,-2,2,-1,1,1,2,-1,4,
2,2,-1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,-1,3,-1,2,-1,3,-1,2,1,1,
1]],[[1,1,2,1],[1,1,2,-1],[3,2,2,1,1,1,2,-1,4,2,3,1,2,1,3,1]]],[[[1,1,2,1],[2,
1,1,1],[1,1,2,-1],[5,1,4,-2,3,-1,5,-1,3,-2,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[
1,1,2,-1,3,1,4,-1,2,-1,4,-1,3,1,2,1,4,-2]],[[2,1,1,1],[3,1,2,2,3,-1,2,-1,1,1,
2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,2,2,2,3,1,2,1,3,1]],[[2,1,1,1],[
1,1,2,-1],[1,1,2,1,3,-2],[5,1,4,1,5,1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,
-1,3,1,4,-3,3,-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,-1,1,1,2,-1,3,1,2,1,3,1,
4,1]],[[1,1,2,1],[2,1,1,1],[3,2,4,2,2,1,3,2]],[[2,1,1,1],[1,1,2,-1],[4,1,3,-1,
4,1,2,-1,1,1,2,-2,3,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,1,2,1,1,1,4,1,2,1,
4,1,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1],[5,1,4,-1,1,1,2,-1,5,1,4,1]],[[
1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,1,3,1,1,1,2,-1,4,-1,5,-1]]],[[[1,1,2,1],[
2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,-1,2,-1,5,1,4,-1,3,-1,2,-2]],[[1,1,2,1],[2,1,
1,1],[3,2,4,2,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,1,3,1,1,1,2,-1,
4,-1,5,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,1,2,1,1,1,4,1,2,1,4,1,3,-1]],[[
1,1,2,1],[2,1,1,1],[3,1,4,2,2,-2,3,2,2,1,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[4,1,5,1,3,1,1,1,2,-1,4,-1,5,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,
1,1,4,1,2,2,3,1]],[[1,1,2,1],[1,1,3,-2,2,2,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,
1,4,1,3,-2,4,1,2,-1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-1,3,1,1,1,4,
1,2,1,1,1]],[[2,1,1,1],[1,1,2,-1],[1,1,2,1,3,-2],[5,1,4,1,5,1,4,1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1,4,-1,3,1,4,-3,3,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[5,2,2,-1,3,1,5,1,3,1,4,2]],[[1,1,2,1],[2,1,1,1],[2,1,4,2,2,1,3,2,4,1]],[[
2,1,1,1],[3,1,2,1,3,1,2,-1,1,1],[1,1,2,-1,4,-2]]],[[[1,1,2,1],[2,1,1,1],[3,2,
4,1,2,-2,3,1,2,1,3,1,4,1]],[[2,1,1,1],[3,1,2,2,1,1,2,2,1,1,3,2]],[[1,1,2,1],[
2,1,1,1],[3,1,1,1,4,2,3,-1,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,
4,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,1,2,1,1,1,2,1,3,2,4,-1]],[[1,
1,2,1],[2,1,1,1],[2,1,3,2,4,3,2,1,1,1]],[[2,1,1,1],[1,1,2,-1],[4,1,3,-2,2,-1,
1,1,2,1,3,2,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,
2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-2,3,-1,5,-1,3,-2,2,-1,4,-1]],[[
2,1,1,1],[1,1,2,-1],[3,1,2,-1,1,1,3,1],[5,1,4,-1,5,1,4,-1]],[[1,1,2,1],[2,1,1,
1],[3,2,2,1,4,-1,1,1,2,1,4,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[2,2],[4,1,3,-2,5,
-1,4,-1,3,-1,5,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,
2]],[[2,1,1,1],[1,1,2,-1,3,-1,2,-1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,
3,4,2,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-1,3,2,4,1]]],[[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[3,1,2,1,4,-2,5,1,4,-1,1,1,3,-1,5,-1]],[[1,1,2,1],[2,
1,1,1,3,1,2,1,3,1,1,1,2,-1,3,2]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,
1,2,2,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1,2,1,1,1]]],[[[1,1,2,1],[
2,1,1,1],[1,1,2,-1],[3,1,2,1,4,-2,5,1,4,-1,1,1,3,-1,5,-1]],[[1,1,2,1],[2,1,1,
1],[4,1,2,1,3,3,4,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-2,2,-1,5,2,4,-2,
2,-1]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1,1,1,2,-1,3,2]]],[[[1,1,2,1],[2,1,1,1],[
1,1,2,-1,3,2,2,1,4,1,2,1,4,1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,2,2,2,1,1,
4,2,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,2,2,4,-1,1,1,3,-1]],[[1,1,
2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,2,1,1,1,4,1,2,1,3,2]]],[[[1,1,2,1],[1,1,2,-1,
3,-1,2,-1,3,-1,2,2,3,1,2,1,1,1]],[[1,1,2,1],[3,1,1,1,2,-1,1,1,2,-1,3,1]],[[1,
1,2,1],[1,1,2,-2,3,-2,2,1,1,1,3,-2]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1,1,1,2,-1,
3,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,-1,4,1,5,-2,4,2,3,-1]],[[2,1,1,
1],[1,1,2,-1,3,-1,2,-1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,
1,4,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,3,4,2,2,1,1,1]]],[[[1,1,2,1],[2,1,
1,1],[2,2,4,-2,3,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,2,4,2]]],[[[1,1,2,
1],[2,1,1,1],[3,1,4,-1,2,-1,4,-1,3,2,2,1,4,1]],[[2,1,1,1],[2,1,3,1,2,-1,1,1,3,
1,2,2,3,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,3,-1,2,1,1,1]]],[[[1,1,2,1],[3,2,1,
1,2,-1,3,1,2,1,3,1]],[[2,1,1,1],[3,1,2,2,3,-1,2,-1,1,1,2,-1]]],[[[1,1,2,1],[2,
1,1,1],[2,1,3,2,4,-2,2,-1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,2]]],[[[1,1,2,1],[
2,1,1,1],[1,1,2,-1],[2,2,4,-1,5,2,3,1,2,1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,
2,1,3,3,1,1,4,1,2,1,1,1]],[[2,1,1,1],[1,1,2,-1],[2,1,3,2,4,-1,3,1,2,2,1,1,2,1,
4,1]]],[[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,-1,1,1,2,-1,3,1,2,1,3,1,4,1]],[[1,1,2,
1],[2,1,1,1],[3,2,4,2,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,1,1,4,1,2,1,
1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,-1,4,1,5,-2,2,-1,3,-2,4,-1]],[[
1,1,2,1],[2,1,1,1],[3,1,4,3,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,3,
2,2,1,4,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,1,1,3,-2,2,-2,4,
-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[3,
1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-2,3,
-1,5,-1,3,-2,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,3,2,2,1,4,-1]],[[
1,1,2,1],[2,1,1,1],[2,2],[3,1,4,2,5,1,4,-1,3,-2,5,-1]]],[[[1,1,2,1],[1,1,2,
-1],[4,1,1,1,2,-1,3,-1,2,-2,4,2,2,-1,3,1]],[[1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,
3,2,2,1]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1,1,1,2,-1,3,2]]],[[[1,1,2,1],[2,1,1,
1],[1,1,2,-2,4,-1,3,2,4,1]],[[1,1,2,1],[3,1,1,1,2,-1,1,1,2,-1,3,1]],[[2,1,1,
1],[2,2,1,1,2,1,3,-2,2,-1]]],[[[1,1,2,1],[1,1,2,-1],[4,2,3,1,1,1,2,-1,3,-1,2,
-1,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,2,4,-1,2,-1]],[[1,1,2,1],[2,1,1,
1],[3,1,2,1,3,1,4,-1,3,2,4,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,-2,2,
-1,3,-1,4,1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,2,3,
1]],[[2,1,1,1],[2,1,3,1,2,-1,1,1,3,2,2,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,
4,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,1,2,1,4,-1]],[[2,-1,1,1,2,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,1,3,1,1,1,2,-1,4,-1,5,-1]],[[2,1,
1,1],[1,1,2,-1],[4,2,1,1,2,1,3,1,4,-1,2,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[3,2,4,
2,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,1,2,1,1,1,4,1,2,1,4,1,3,-1]],[[
1,1,2,1],[1,1,2,-2,3,-2,2,1,1,1,3,-2]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,2,3,-1,
2,-1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-1,2,-2,5,2,4,-2,3,
-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,-1,2,-1,3,-1,4,-2,3,-1,5,-2]],[[1,
1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,-1,3,-1,2,-1,3,-1,2,1,1,1]]],[[[1,1,2,1],[2,
1,1,1],[2,1,3,2,4,-1,3,1,4,-2,1,1,2,-1]],[[2,1,1,1],[1,1,2,-1],[3,1,2,-1,1,1,
3,1],[5,1,4,-1,5,1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,2,4,2,2,1,3,2]]],[[[1,1,2,
1],[2,1,1,1],[4,1,2,1,3,4,4,1]],[[1,1,2,1],[2,1,1,1,2,-1,3,1,1,1,2,-2,3,1]],[[
1,1,2,1],[1,1,3,-1,2,1,1,1,2,-1,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,
3,-1,4,1,5,-2,4,2,3,-1]],[[2,1,1,1],[1,1,2,-1],[1,1,2,1,3,-2],[5,1,4,1,5,1,4,
1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-1,3,2,4,1]]],[[[1,1,2,1],[2,1,1,1],[
2,1,3,1,4,1,2,1,1,1,3,-1,2,-2,4,-1]],[[1,1,2,1],[2,1,1,1],[3,2,4,2,2,1,3,
2]],[[2,1,1,1],[1,1,2,-1],[3,1,2,2,4,1,3,-1,2,-1,1,1,4,-2]]],[[[1,1,2,1],[2,1,
1,1],[3,2,2,1,4,1,2,1,4,1,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-2,3,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,2,2,1,3,2,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,
1,1,4,2,3,-1,2,-1,3,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,3,-1,2,1,1,1]],[[1,1,2,
1],[2,1,3,1],[3,1,4,1,2,1,1,1,4,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,
1,1,1,4,1,2,2,3,1]],[[2,1,1,1],[2,1,3,1,2,-1,1,1,3,2,2,2]],[[1,1,2,1],[2,1,1,
1],[4,1,2,1,3,3,1,1,4,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,3,2,1,1,
1]],[[1,1,2,1],[3,1,1,1,2,-1,1,1,2,-1,3,1]],[[2,1,1,1],[1,1,2,1,3,2,2,1,1,1,3,
1,2,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,-1,4,2,3,-1,4,1]],[[1,1,2,1],[2,1,
1,1],[3,2,4,2,2,1,3,2]],[[1,1,2,1],[2,2,3,1,1,1,2,-1,3,2,2,1]]],[[[1,1,2,1],[
2,1,1,1],[2,1,3,1],[4,1,5,1,3,1,1,1,2,-1,4,-1,5,-1]],[[1,1,2,1],[2,1,1,1],[3,
1,2,1,3,1],[5,1,4,-1,1,1,2,-1,5,1,4,1]],[[1,1,2,1],[1,1,2,-2,3,-2,2,1,3,2,2,1,
1,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,1,2,1,1,1,4,1,2,1,4,1,3,-1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[4,1,5,1,3,1,1,1,2,-1,4,-1,5,-1]],[[1,1,2,1],[2,1,1,
1],[3,1,1,1,4,2,3,-1,2,-1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,2,4,-1,
5,2,3,1,2,1,3,1,4,1]],[[2,1,1,1],[1,1,2,-1],[3,1,2,-1,1,1,2,-2,4,2,3,-2,2,
-1]],[[2,-1,1,1,2,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-2,3,-1,5,-1,3,
-2,2,-1,4,-1]],[[1,1,2,1],[1,1,2,-1],[4,1,1,1,2,-1,3,-2,2,-1,3,-1,4,-1]],[[1,
1,2,1],[2,1,1,1],[2,1,4,1,3,-1,2,2,1,1,2,-1,3,-1,4,1,2,-1,4,-1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,2,1,4,1,3,-1,4,1,3,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,
4,-2,1,1,3,-1]],[[1,1,2,-1],[2,2,1,1,2,-1,3,3,2,-1,1,1,2,1]]],[[[1,1,2,1],[2,
1,1,1],[1,1,2,-1],[5,1,3,-1,4,1,5,-2,4,2,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1,4,-1,1,1,3,-2,2,-2,4,-1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,-1,1,1,2,-1,3,1,
2,1,3,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,2,4,-1,5,2,3,1,2,1,3,1,4,
1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,4,4,1]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1,1,
1,2,-1,3,2]]],[[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]],[[1,1,
2,1],[1,1,2,-2,3,-2,2,1,1,1,3,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,3,4,2,2,1,1,
1]]],[[[1,1,2,1],[1,1,2,-1,3,-1,2,-1,3,-1,2,2,3,1,2,1,1,1]],[[2,1,1,1],[2,2,3,
-1,1,1,2,1,3,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,3,2,1,3,2]]],[[[1,1,2,1],[
2,1,1,1],[1,1,2,-1],[5,1,4,-1,1,1,3,-1,2,1,4,-1,3,1,4,1,5,-1]],[[1,1,2,1],[2,
1,1,1],[2,2,3,1,4,1,2,1,1,1,2,1,3,2,4,-1]],[[2,1,1,1],[1,1,2,-1],[3,2,2,-1,1,
1],[5,1,4,-1,5,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,-1,2,-1,
5,1,4,-1,3,-1,2,-2]],[[1,1,2,1],[2,1,1,1],[3,2,4,2,2,1,3,2]],[[1,1,2,1],[2,1,
1,1],[1,1,2,-2,4,-1,3,2,4,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2],[4,1,5,1,4,-1,5,-1]],[[1,1,2,1],[3,1,1,1,2,
-1,1,1,2,-1,3,1]]],[[[1,1,2,1],[1,1,2,-2,3,-2,2,1,3,2,2,1,1,1]],[[1,1,2,1],[2,
1,1,1],[4,1,2,1,3,3,4,2]],[[2,1,1,1],[2,2,3,-1,1,1,2,1,3,-1,2,-1]]],[[[1,1,2,
1],[2,1,1,1],[2,1,4,1,3,1,4,-1,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,2,2,1,3,
2,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-2,3,-1]]],[[[1,1,2,1],[2,1,1,1],[
4,1,2,-1,3,-2,2,1,1,1,3,-2,2,-1,4,-1]],[[2,1,1,1],[1,1,2,-1],[3,1,2,-1,1,1,3,
1],[5,1,4,-1,5,1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,1]]],[[[1,1,
2,1],[1,1,2,-1],[4,1,2,1,1,1,3,-1,2,-2,4,2,2,-1,3,1]],[[1,1,2,1],[2,1,1,1],[3,
1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,2,-1,3,1,
5,1,3,1,4,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,1,2,1,1,1,4,1,2,1,4,1,3,
-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1],[5,1,4,-1,1,1,2,-1,5,1,4,1]],[[1,1,2,
1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1,2,1,1,1]]],[[[2,1,1,1],[1,1,2,-1],[4,2,1,1,
2,1,3,1,4,-1,2,-2,3,-1]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,
1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,2,1,
4,2]],[[1,1,2,1],[2,2,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1,1,1,2,-1,
3,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,1,2,1,1,1,4,1,2,1,4,1,3,-1]],[[1,1,2,
1],[2,1,1,1],[3,1,2,1,3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,1,
3,1,1,1,2,-1,4,-1,5,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,2,4,-1,5,2,3,1,
2,1,3,1,4,1]],[[2,1,1,1],[1,1,2,-1],[3,1,2,-1,1,1,2,-2,4,2,3,-2,2,-1]],[[1,1,
2,1],[2,1,1,1],[1,1,2,-2,3,1,4,-1,3,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,
2,-2,1,1,2,-1,4,-1,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,
4,1,2,1,3,2]],[[1,1,2,1],[1,1,2,-1],[2,1,3,1],[4,1,3,-1,5,-1,1,1,2,-1,5,-1,3,
-1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,2,2,3,1,4,-1,1,1,2,-1]],[[1,1,2,
1],[1,1,2,-1,1,1,2,-1,3,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,-1,2,
-1,5,1,4,-1,1,1,3,-1]]],[[[2,1,1,1],[3,1,2,2,1,1,2,2,1,1,3,2]],[[1,1,2,1],[2,
1,1,1],[3,2,4,2,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-1,3,2,4,
1]]],[[[2,1,1,1],[3,2,2,-2,1,1,3,2]],[[1,1,2,1],[3,1,1,1,2,-1,1,1,2,-1,3,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,1,2,1,1,1,4,1,2,1,4,1,3,-1]],[[1,1,2,
1],[2,1,1,1],[3,1,4,3,2,1,3,2]]],[[[1,1,2,1],[1,1,2,-2,3,1,1,1,2,-1,3,2]],[[1,
1,2,1],[2,1,3,1],[2,1,1,1,4,1,3,2,4,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,
1,3,-1,4,1,5,-2,4,2,3,-1]],[[1,1,2,1],[2,1,3,2,1,1,2,-1,3,-1,2,1,1,1]]],[[[1,
1,2,1],[2,1,1,1],[1,1,2,-2,3,1,4,-1,3,1,1,1,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,
2,4,1,2,1,4,2]],[[2,2],[3,1,2,1,1,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2],[4,
1,5,1,4,-1,5,-1]],[[2,1,1,1],[3,2,2,-2,1,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,
2,-1],[5,1,3,1,1,1,4,1,2,2,3,1,4,-1,5,1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,
1,1,1,4,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1,2,1,1,1]]],[[[1,
1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,3,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,
3,3,4,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,2,1,3,2,4,1]],[[1,1,2,1],[2,1,
1,1],[4,1,2,1,3,3,4,2]]],[[[2,1,1,1],[1,1,2,1,1,1,3,1,2,1,1,1,3,1,2,-2]],[[1,
1,2,1],[2,1,1,1],[4,1,2,1,3,3,4,2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,3,2,1,3,
2]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,4,4,1]]],[[[1,1,2,1],[2,1,3,1],[3,1,4,-1,
1,1,2,-1,1,1,2,-1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,4,2]]],[[[1,1,2,
1],[2,1,1,1],[3,2,4,2,2,1,3,2]],[[2,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,
2,-1,3,-2,4,1,2,-1,3,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1],[4,1,3,-1,4,1]]],[[[
1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-2,3,-1]],[[2,1,1,1],[2,1,3,1,2,-1,1,1],[4,
2,3,1]]],[[[1,1,2,1],[2,1,3,1],[3,1,4,1,2,1,1,1,4,1,3,1]],[[2,1,1,1],[2,1,3,1,
2,-1,1,1],[4,2,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,2,3,1,5,1,3,1,4,
2,5,-1]],[[2,1,1,1],[1,1,2,-1],[3,1,2,-1,1,1,3,1],[5,1,4,-1,5,1,4,-1]]],[[[1,
1,2,1],[2,1,1,1],[4,1,2,1,3,2,4,-1,3,-1]],[[1,1,2,1],[1,1,2,-1,3,2,2,2,3,
2]]],[[[2,1,1,1],[1,1,2,-1],[3,2,2,-1,1,1],[5,1,4,-1,5,1,4,-1]],[[1,1,2,1],[2,
1,1,1],[4,1,3,-1,2,-1,3,-1,4,1,2,-1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,-1,3,
-1,4,1,2,-1]],[[1,1,2,1],[1,1,2,-1,3,-1,2,1,1,1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,
1],[4,1,2,1,3,3,4,2]],[[1,1,2,-2,1,1,2,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[
3,1,2,1,4,-2,5,3,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,4,2]]],[[[1,1,2,1],[
2,1,1,1],[2,1,4,1,3,-1,4,1,2,-1,3,-2,2,1,1,1]],[[2,1,1,1,2,2,1,1,2,2]]],[[[1,
1,2,1],[2,1,1,1],[2,2,3,1,4,1,2,1,1,1,2,1,4,1,3,-1,4,1]],[[1,1,2,1],[1,1,2,
-1],[3,2],[4,1,5,2,2,1,1,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-1,
2,-2,5,2,4,-2,3,-1]],[[1,1,2,1],[1,1,2,-1,3,-1,2,1,3,1]]],[[[2,2],[3,1,2,1,1,
1,3,1]],[[1,1,2,-1,1,1,2,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,1,4,-1,3,1,4,
1]],[[1,1,2,1],[2,1,1,1,2,-1,3,-4]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,3,-1,
2,-2,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,1]]],[[[1,1,2,1],[2,-2,
3,2]],[[1,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,1,1,2,-1,3,1,2,1,3,1,4,
1]],[[1,1,2,1],[2,1,1,1,2,-1,3,-4]]],[[[1,1,2,1],[1,1,2,-1],[4,1,1,1,2,-1,3,
-1,2,-1,3,-2,4,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1],[4,1,3,-1,4,1]]],[[[1,1,2,
1],[2,1,1,1],[2,1,4,1,3,-1,4,2,2,2,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,1,2,
1,3,1,4,-1]]],[[[1,1,2,1],[1,1,2,-1,3,2,1,1,2,-1]],[[2,1,1,1,2,2,1,1,2,
2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,3,2,1]],[[1,1,2,1],[1,1,2,-1,3,2,1,
1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,
2,-1],[4,1,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,-1,3,-1,5,
-1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,3,2,-1,3,-1]]],[[[1,1,2,1],[2,
1,1,1],[3,1,4,2,2,1,4,-1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,1,2,
-1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,-1,4,2,3,-1,4,1]],[[1,1,2,1],[2,
1,3,1],[2,1,1,1,4,1,3,2,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[5,1,4,1,5,1,3,
1,4,-1]],[[1,1,2,1],[2,1,3,1],[4,1,3,2,4,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[
4,1,3,-1,2,-2,3,2,2,1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,4,4,1]]],[[[1,1,
2,1],[2,1,1,1],[2,1,3,2,4,1,2,1,4,2]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,1,4,-1,
3,1,2,1,3,1]]],[[[2,1,1,1],[2,1,3,1,2,-1,1,1,3,2,2,2]],[[1,1,2,1],[2,1,3,1],[
2,1,1,1,4,1,3,2,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,2,3,-1]],[[1,1,2,-1],[
3,1,1,1,2,-2,3,1,1,1,2,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-2,3,-1]]],[[[
1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,2,4,-1,5,2,3,1,2,1,3,1,4,1]],[[1,1,2,1],[2,1,
1,1],[4,1,2,1,3,4,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,1,4,-1,3,1,4,1]]],[[[
1,1,2,1],[2,1,3,1],[1,1,2,-1,3,-1,4,-1,3,1,4,1,2,1,1,1]],[[2,1,1,1],[3,1,2,-2,
1,1,2,2,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,3,2,1,3,2]]],[[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[2,2,4,-1,5,2,3,1,2,1,3,1,4,1]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1,
1,1,2,-1,3,2]],[[2,1,1,1],[1,1,2,-1],[2,1,3,2,4,-1,3,1,2,2,1,1,2,1,4,1]]],[[[
1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,2,2,3,1,4,-1,1,1,2,-1]],[[2,1,1,1],[2,1,3,1,2,
-1,1,1,3,1],[4,2,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,
3,2]]],[[[1,1,2,1],[1,1,2,-1],[4,2,2,-1,3,1,4,1,1,1,2,-1,3,-1,2,-2]],[[1,1,2,
1],[1,1,2,-1],[4,1,1,1,2,-1,3,-1,2,-1,3,-2,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,
1,3,3,1,1,4,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,1,1,2,-1,4,-1,3,
-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[1,1,2,-1,3,1,5,1,4,1,5,1,3,1,4,
1]],[[1,1,2,1],[3,-1,2,-2,3,1,2,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,
3,2,4,1]],[[2,1,1,1],[1,1,2,1,3,2,2,1,1,1,3,1,2,2]],[[1,1,2,1],[2,1,1,1],[2,1,
3,2],[5,1,4,1,5,-1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,-1,4,1,5,
-2,4,2,3,-1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,2,2,1,1,1,2,-1,3,-2,4,-1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1,4,-2,3,-3,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-2,
3,-3,2,-1]],[[2,1,1,1],[1,1,2,-1],[1,1,2,1,3,-2],[5,1,4,1,5,1,4,1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-2,3,1,4,-1,3,1,1,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,
-2,2,-1,1,1,2,-2,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[5,1,4,2,5,1,3,
1]]],[[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,3,2,-1,3,-1]],[[1,1,2,-1],[3,1,1,1,2,
1],[4,1,1,1,2,-1,4,-1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,4,-1,2,-1,1,1,2,
-1,3,2,2,1]],[[1,1,2,1],[2,1,3,1],[3,1,4,1,2,1,1,1,4,1,3,1]]],[[[1,1,2,1],[2,
1,3,3,1,1,2,-2]],[[1,1,2,1],[1,1,2,-1,1,1,2,-1,3,2]]],[[[1,1,2,1],[2,1,1,1],[
3,1,2,1,4,-4,3,-1,2,1,1,1]],[[2,1,1,1],[1,1,2,-1],[3,1,2,-1,1,1,3,1],[5,1,4,
-1,5,1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,-1,4,1,3,-2,2,-1]]],[[[1,1,
2,1],[2,1,1,1],[1,1,2,-1],[2,2,4,-1,5,2,3,1,2,1,3,1,4,1]],[[1,1,2,1],[2,1,1,
1],[2,2,3,1,4,-1,1,1,2,-1,3,-1,2,-1,3,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,
4,1,2,1,1,1,4,1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,1,2,1,4,
-1]],[[1,1,2,1],[2,1,3,1],[4,1,3,2,4,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,
3,1],[4,1,5,1,3,1,1,1,2,-1,4,-1,5,-1]],[[2,1,1,1],[2,1,3,-1,1,1,2,1,1,1,3,
1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]]],[[[1,1,2,1],[2,1,
1,1],[1,1,2,-1,3,-1,4,2,3,-1,4,1]],[[1,1,2,1],[2,1,3,3,1,1,2,-2]],[[2,1,1,1],[
2,2,3,2,2,1,3,-1,1,1,2,1]]],[[[2,1,1,1],[3,1,2,2,3,-1,2,-1,1,1,2,-1]],[[1,1,2,
1],[1,1,2,-1,3,2,2,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-4,3,-1,2,1,1,
1]],[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,1,3,-1,4,1,2,-1]],[[1,1,2,-1],[2,2,1,1,2,
-1,3,3,2,-1,1,1,2,1]]],[[[1,1,2,1],[2,1,1,1,2,2,3,1,1,1,2,-1,3,2]],[[1,1,2,
1],[2,1,3,2],[4,2,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,1,2,1,4,-1,3,1,4,
1]],[[1,1,2,1],[1,1,2,-1,3,2,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,
2,2,1,3,1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,-1,2,-1]],[[1,1,2,1],[3,1,1,1,2,
-1,1,1,2,-1,3,1]],[[1,1,2,1],[1,1,2,-1,3,2,1,1,2,-1]]],[[[1,1,2,1],[1,1,2,-1,
3,1,1,1,3,-1,2,1,1,1]],[[2,1,1,1],[2,2,3,-1,1,1,2,1,3,-1,2,-1]],[[2,2],[3,1,2,
1,1,1,3,1]],[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,-1]]],[[[2,1,1,1],[2,1,3,-1,1,
1,2,1,3,1,2,-2]],[[1,1,2,1],[3,1,1,1,2,-1,1,1,2,-1,3,1]]],[[[1,1,2,1],[2,1,1,
1],[4,2,2,-1,3,-1,4,1,2,2,3,1]],[[1,1,2,1],[1,1,2,-1,3,1,2,1,3,1,2,1,1,1,2,-1,
3,-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,4,-1,2,-1,4,-1,5,1,3,-1,4,1,
2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1,2,1,1,1]],[[1,1,2,1],[2,
1,1,1],[1,1,2,-1],[4,1,3,-2,2,-1,5,2,4,-2,2,-1]]],[[[1,1,2,1],[1,1,2,-2,3,1,2,
1,3,1,1,1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1]],[[1,1,2,1],[2,1,1,1],[3,
1,2,1,3,1,4,-2,3,-1]]],[[[1,1,2,1],[1,1,2,-2,3,1,2,1,3,1,1,1,2,-1]],[[2,2],[3,
1,2,1,1,1,3,1]],[[2,1,1,1],[2,2,3,-1,1,1,2,1,3,-1,2,-1]]],[[[1,1,2,1],[2,1,1,
1],[3,1,4,-1,2,-1,4,3,2,-1,3,-1]],[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,2,2,1]],[[1,
1,2,1],[1,1,2,-1,1,1,2,-1,3,-1,2,2,3,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,1,
4,-1,3,2,2,1]],[[1,1,2,1],[1,1,2,-1,3,2,2,1,1,1,2,-2]],[[1,1,2,1],[2,1,1,1],[
3,2,2,1,4,1,2,1,4,1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,1,3,-1,4,
1,5,-1,2,1,4,-1,3,1,4,1,5,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,3,2,2,1,
4,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-1,2,-1,3,-1,5,2,3,2,2,
1,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,-2,3,-2,2,1,1,1]],[[1,1,2,1],[3,1,1,
1,2,-1,1,1,2,-1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,2,4,1,2,1,1,
1]]],[[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]],[[1,1,2,1],[2,1,
1,1],[2,2,3,1,4,1,2,1,4,-1,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,2,2,2,3,
1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,2,4,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,
1,2,1,4,1,3,-2,4,1,2,-1,4,-1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1,2,-2]]],[[[1,
1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,1]],[[2,1,1,1],[1,1,2,2,3,-2,2,-1]]],[[[
2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1]],[[1,1,2,-2,1,1,2,-1,1,1,2,2]]],[[[1,1,2,1],[
2,1,1,1],[3,1,2,1,3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1,2,-1],[4,1,3,1,4,1,3,
1]]],[[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,-2,3,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[4,
1,3,-1,4,2,2,1,4,-1,3,1]],[[1,1,2,1],[1,1,2,-1,3,2,2,1,1,1,2,-2]]],[[[1,1,2,
1],[2,1,1,1],[1,1,2,-2,3,1,4,-1,3,1,1,1,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,
2,3,1,4,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,2,1,3,2]]],[[[1,1,2,
1],[2,1,1,1],[3,1,2,1,4,-2,3,1,4,2]],[[2,1,1,1],[2,2,3,2,2,1,3,-1,1,1,2,
1]]],[[[1,1,2,1],[2,1,3,1],[1,1,2,-1,3,-1,4,-1,1,1,2,-1,4,-1]],[[1,1,2,1],[1,
1,2,-1,3,3,1,1,2,-2]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-2,3,1]],[[2,1,1,1],[3,1,1,
1,2,1,3,-1,2,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,2,1,3,1,2,1,1,1,2,-1,3,-2]],[[1,
1,2,1],[3,1,2,1,1,1,2,-1,3,-2,2,-1]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1,1,1,2,-1,
3,2]]],[[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1]],[[1,1,2,1],[3,2,2,1,1,1,2,-2,3,
1]],[[2,2],[3,1,2,1,1,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,4,1,
3,-1,5,-1,4,1,2,1,4,-1,3,1,5,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,2,5,
-1,4,1,3,2,2,1,5,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1,2,1,1,1]]],[[[
1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,4,2]],[[1,1,2,1],[2,1,1,1],[3,2,4,2,2,2,3,
1]]],[[[1,1,2,1],[2,1,3,2],[4,2,2,1,1,1]],[[1,1,2,-1,1,1,2,1,1,1]]],[[[1,1,2,
1],[2,1,1,1],[2,1,4,-1,3,2,4,-1,2,-1]],[[1,1,2,-1,1,1,2,1,1,1]],[[1,1,2,1],[3,
2,2,1,1,1,2,-1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-2,2,1,1,1]],[[1,1,2,
1],[2,1,1,1],[2,1,4,2,2,1,3,2,4,1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,-2]],[[1,
1,2,1],[3,1,1,1,2,-1,1,1,2,-1,3,1]],[[2,1,1,1],[3,1,1,1,2,1,3,-1,2,-1]]],[[[1,
1,2,1],[2,1,1,1],[1,1,2,-1,3,-1,4,2,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,
2,-1,4,-1,3,-2,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,2,4,-1,2,-1]],[[2,-1,
1,1,2,1]],[[2,1,1,1],[3,1,2,2,3,-1,2,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,
1,3,1,4,-1,3,1,4,-1,2,-1]],[[2,1,1,1],[1,1,2,-2,3,-1,1,1,2,1,3,2]],[[2,1,1,
1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]]],[[[1,1,2,1],[1,1,2,-2,3,-2,2,1,3,2,2,1,1,
1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-3,3,-1,2,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,
2,3,2,4,2]],[[1,1,2,1],[2,1,3,2,1,1,2,-1,3,-1,2,1,1,1]]],[[[1,1,2,1],[1,1,2,
-1,1,1,2,-1,3,2]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1]],[[1,1,2,1],[3,2,1,1,2,
-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,2,3,-1,2,-1,3,-1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1],[3,1,4,2,3,-1]]],[[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,
1,3,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,
-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,4,1,5,-1,4,2,3,-1]],[[1,1,2,
1],[2,1,1,1],[4,1,3,-1,4,2,2,1,4,-1,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[
5,1,3,-1,4,1,2,-1,4,-1,5,1,3,2,2,1,4,1]],[[2,1,1,1],[3,1,2,2,3,-1,2,-1,1,1,2,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[5,1,3,-1,4,2,5,1,3,-1,2,1,1,1]]],[[[1,1,
2,1],[2,1,1,1],[1,1,2,-1,3,1,2,1,4,-1,3,-1,4,1]],[[2,1,1,1],[2,1,3,1,2,-1,1,
1],[4,2,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,1]],[[1,1,2,1],[2,1,
3,2],[2,1,1,1,4,2]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1]]],[[[1,1,2,1],[1,1,2,
-1],[2,1,1,1,2,2,3,1,4,-1,3,-1,2,1,4,-2]],[[1,1,2,1],[2,1,1,1],[3,2,4,2,2,2,3,
1]]],[[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[1,1,2,1],[2,1,1,1,2,-1],[
3,1,4,1,3,1,4,1]]],[[[1,1,2,1],[1,1,2,-1],[3,1,2,1,3,1,1,1,2,-1,3,-1,4,-2]],[[
1,1,2,1],[2,1,1,1],[4,1,2,2,3,1,2,1,3,1,4,-1]]],[[[1,1,2,1],[2,1,1,1,2,-1],[4,
1,3,1,4,1,3,1]],[[1,1,2,-2,1,1,2,2,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,
1,1,1,4,1,5,-2,4,1,3,-1,2,-2]],[[2,1,1,1],[2,1,3,-1,1,1,2,1],[4,2,3,1]]],[[[2,
1,1,1],[3,1,2,-2,1,1,2,2,3,-1]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]],[[1,1,2,1],[
3,1,1,1,2,-1,1,1,2,-1,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,1]],[[
1,1,2,1],[3,1,1,1,2,-1,1,1,2,-1,3,1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1]]],[[[
2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]],[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,
1]],[[1,1,2,1],[3,1,1,1,2,-1,1,1,2,-1,3,1]]],[[[1,1,2,1],[1,1,2,-2,3,-2,2,1,3,
2,2,1,1,1]],[[1,1,2,1],[1,1,2,-1,3,1,2,1,3,1,2,1,1,1,2,-1,3,-2]],[[1,1,2,1],[
2,1,1,1,3,1,2,1,3,1,1,1,2,-1,3,2]]],[[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,
-1]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1]],[[1,1,2,1],[1,1,2,-1,1,1,2,-1,3,
2]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-2,3,1]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,
-1]]],[[[1,1,2,1],[1,1,2,-1],[4,1,3,2,2,1,4,1,2,-1,3,1,2,1,1,1]],[[2,1,1,1],[
1,1,2,2,3,-1],[3,1,4,-1,3,1,4,-1]]],[[[1,1,2,1],[2,1,3,1],[1,1,2,-1,3,1,4,1,1,
1,2,-1,3,-1,4,-1]],[[1,1,2,1],[3,1,1,1,2,-1,1,1,2,-1,3,1]]],[[[1,1,2,1],[1,1,
2,-1],[4,1,2,-1,3,1,1,1,2,-1,4,2,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,2,
-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,1,2,1,3,1,4,-1]],[[1,1,2,1],[2,1,
1,1],[1,1,2,-1,3,-1,4,2,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,2,4,-1,
2,-1]],[[1,1,2,1],[2,1,1,1,2,-1,3,-1,2,1,3,1]]],[[[1,1,2,1],[1,1,2,-1],[3,1,2,
1,3,1,1,1,2,-1,4,2,3,1]],[[1,1,2,1],[1,1,2,-1,3,2,1,1,2,-1]]],[[[1,1,2,1],[2,
1,1,1],[2,1,4,-1,3,2,4,-1,2,-1]],[[1,1,2,1],[1,1,2,-1,1,1,2,-1,3,2]],[[1,1,2,
1],[3,2,1,1,2,-1,1,1,2,-1]]],[[[1,1,2,1],[1,1,2,-2,3,-2,2,1,3,2,2,1,1,1]],[[1,
1,2,1],[2,1,1,1],[2,1,3,1],[5,1,4,2,5,1,3,1]]],[[[1,1,2,1],[2,1,1,1,2,2,3,1,1,
1,2,-1,3,2]],[[1,1,2,1],[2,1,1,1],[2,1,4,2,2,1,3,2,4,1]]],[[[1,1,2,1],[2,1,1,
1],[1,1,2,-1,3,1,4,3,2,1,4,1,3,-1]],[[2,1,1,1],[3,1,1,1,2,1,3,-1,2,-1]],[[1,1,
2,1],[2,1,1,1],[1,1,2,-1,4,-1,2,-1,4,-1,3,-2,2,-1]]],[[[1,1,2,1],[2,1,3,1],[1,
1,2,-1,3,1,4,1,1,1,2,-1,3,-1,4,-1]],[[1,1,2,1],[2,1,1,1,2,-1,3,-2,2,1,3,
1]]],[[[1,1,2,1],[1,1,2,-1,3,1,2,1,3,1,2,1,1,1,2,-1,3,-2]],[[2,1,1,1],[2,1,3,
-1,1,1,2,1],[3,1,4,2]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-1,3,2,2,1]],[[1,1,2,1],[1,
1,3,-2,2,2,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,-1,4,1,5,-1,4,1,2,2,
3,1,5,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,2,1,3,1,4,-2,3,-1,5,
-1]],[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,2,1,1,1,4,2,3,-1]]],[[[1,1,2,1],[2,1,
1,1],[2,1,4,-1,3,1,4,2,3,-2,2,-1]],[[1,1,2,1],[2,1,3,1],[4,1,3,2,4,1,2,1,1,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,2,1,4,-1,3,1]],[[1,1,2,1],[2,1,3,
2,2,1,1,1,2,-1,3,-2]]],[[[2,1,1,1],[3,1,2,2,3,-1,2,-1,1,1,2,-1]],[[1,1,2,1],[
3,1,1,1,2,-1,3,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,-1,1,1,2,-2,3,
1,4,1]],[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,1,2,1,4,1,3,-1,4,1]]],[[[1,1,2,1],[1,
1,3,-1,2,1,1,1,2,1,3,2]],[[1,1,2,1],[3,2,1,1,2,-2,3,-1]]],[[[1,1,2,1],[1,1,2,
-1],[4,1,3,-2,2,-1,3,-1,4,-2]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,3,
1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,1,2,1,4,-1,3,1]],[[1,1,2,1],[3,2,1,1,2,-1,3,
2,2,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,2,4,2]],[[1,1,2,1],[3,2,1,1,2,-1,3,
1,2,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,2,3,-1]],[[1,1,2,1],[1,1,2,-1,3,
2,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,3,-2]],[[1,1,2,1],[2,1,
3,1],[3,1,4,1,2,1,1,1,4,1,3,1]]],[[[1,1,2,1],[3,1,2,1,3,1,1,1,2,-1,3,2,2,
1]],[[1,1,2,1],[2,1,3,2],[4,1,2,1,1,1,4,1]]],[[[1,1,2,1],[2,1,1,1,2,-1,3,-1,2,
1,3,2]],[[1,1,2,1],[3,2,2,1,1,1,3,-2,2,-1]]],[[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,
2,2,1]],[[1,1,2,1],[2,1,1,1,2,-1,3,1,1,1,2,-2,3,1]]],[[[1,1,2,1],[2,1,1,1],[2,
1,4,-1,3,-1,4,1,2,2,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,1,4,2,3,
-1]]],[[[1,1,2,1],[1,1,2,-1],[4,1,2,-1,3,1,1,1,2,-1,4,2,3,1]],[[1,1,2,1],[2,1,
1,1,2,-1,3,-2,2,1,3,1]]],[[[1,1,2,1],[1,1,2,-1,3,2,2,1,3,1,2,1,3,1]],[[1,1,2,
1],[2,1,1,1],[2,1,4,-1,3,2,1,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,1,
4,-1,2,-1]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,3,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1]]],[[[1,1,2,1],[2,1,1,1],[3,2],[5,1,4,-2,5,-1]],[[1,1,2,1],[2,1,3,1],[4,2,
3,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,3,-1,2,1,1,1]],[[2,1,1,1,2,1],[3,2,2,1,1,
1]]],[[[2,1,1,1],[2,2,3,-1,1,1,2,1,3,-1,2,-1]],[[1,1,2,1],[3,2,2,1,1,1,2,
2]]],[[[1,1,2,1],[2,1,1,1,2,-1],[4,1,3,-2,4,1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,
3,1]]],[[[1,1,2,1],[3,1,2,1,3,2,2,1,1,1,2,-1]],[[1,1,2,1],[3,2,1,1,2,-1,3,-1,
2,-1]]],[[[1,1,2,-2],[3,1,1,1,2,-1,3,1,1,1,2,1]],[[1,1,2,1],[1,1,2,-1,1,1,2,
-1,3,1,2,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,3,4,2]],[[1,1,2,1],[3,1,2,1,1,
1,2,-1,3,1,2,1,3,1]]],[[[1,1,2,1],[3,2,2,1,1,1,3,-1,2,2,1,1]],[[1,1,2,1],[2,2,
3,1,1,1,2,-1,3,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-2,2,-1,5,2,
4,-2,2,-1]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,
4,1,2,1,4,1,3,1,4,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,2,1,1,1,3,
-1,2,-2,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,1]],[[1,1,2,1],[2,1,
1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,
1,4,-1,3,-1,2,-1,3,2,4,1,5,-1]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1]],[[1,1,2,
1],[2,1,1,1],[4,1,2,-1,3,-2,2,1,1,1,3,-1,2,-2,4,-1]],[[1,1,2,1],[2,1,1,1],[4,
1,2,-1,3,-2,4,1,2,2,1,1,2,-1]],[[2,1,1,1],[1,1,2,-1],[4,1,3,-2,2,-1,1,1,2,1,3,
2,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]]],[[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[4,1,3,-2,2,-1,5,2,4,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[
2,1,4,-1,3,-1,4,1,2,1,1,1,4,1,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,
1,1,4,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,-1,3,-1,2,-1,3,-1,2,1,
1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,-1,2,-1,3,-1,4,-1,5,1,2,-1,3,1,
4,1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,1,2,1,3,3,2,1,1,1,2,-1,4,1]],[[1,1,2,1],[2,
1,1,1],[2,1,3,2,4,1,2,1,4,1,3,1,4,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,
-1,2,-1,4,-1,3,1,2,1,4,-2,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,2,
2,2,3,1,2,1,3,1]],[[2,1,1,1],[1,1,2,-1],[1,1,2,1,3,-2],[5,1,4,1,5,1,4,1]],[[1,
1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,1,1,3,-1,4,1,3,-1,2,-1,3,-1]],[[1,1,2,1],[2,1,
1,1],[1,1,2,-1,4,-1,3,1,4,-3,3,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,1,2,1,1,
1,4,1,2,1,4,1,3,-1]],[[1,1,2,1],[1,1,2,-1],[3,1,2,1,3,1],[4,1,5,-1,4,-1,2,1,1,
1,5,-1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1],[5,1,4,-1,1,1,2,-1,5,1,4,1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[4,1,5,1,3,1,1,1,2,-1,4,-1,5,-1]]],[[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[5,1,3,-2,2,-1,4,-2,3,-2,5,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,3,2,
1,3,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,2,2,2,1,1,4,2,2,-1,3,-1]],[[1,1,2,1],[2,1,
1,1],[3,1,2,1,3,1,4,1,3,2,2,1,4,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,1,1,
4,1,2,1,1,1,4,1,2,1,3,2]],[[1,1,2,-2,1,1,2,2,1,1]],[[1,1,2,1],[2,1,1,1],[3,1,
2,1,3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1,2,1,1,1]]],[[[1,
1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[2,1,
3,2,4,1,2,1,4,2]],[[2,2],[3,1,2,1,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,
-1,3,-3,2,-1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,1,4,-1,3,1,1,1,4,1]],[[
1,1,2,1],[2,1,1,1],[4,1,2,1,3,4,4,1]],[[1,1,2,1],[1,1,3,-1,2,1,1,1,2,-1,3,
1]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1,1,1,2,-1,3,2]]],[[[1,1,2,1],[2,1,1,1],[2,
1,3,2,4,-1,3,1,4,-2,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,2,2,1,3,2,4,1]],[[
1,1,2,1],[1,1,2,-1,3,2,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1,2,
1,1,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,3,2,1,3,2]],[[1,1,2,1],[3,1,1,1,3,-1,2,
1,1,1,2,-1]],[[1,1,2,1],[1,1,2,-2,3,-2,2,1,1,1,3,-2]],[[2,1,1,1],[2,2,3,-1,1,
1,2,1,3,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-1,3,2,4,1]],[[1,1,2,
1],[2,1,1,1],[3,2,4,2,2,1,3,2]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]],[[1,1,2,1],[
3,1,2,1,1,1,2,-1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,3,-1,5,-1,3,1,5,
1,4,-1]],[[2,1,1,1],[2,1,3,1,2,-1,1,1,3,2,2,2]],[[2,1,1,1],[3,1,2,2,3,-1,2,-1,
1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,1,4,-1,3,1,1,1,4,1]]],[[[1,1,2,
1],[2,1,1,1,3,1,2,1,3,1,1,1,2,-1,3,2]],[[2,1,1,1],[1,1,2,2,3,-1],[3,1,4,-1,3,
1,4,-1]],[[1,1,2,-2,1,1,2,2,1,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,2,2,1,
4,1]]],[[[2,1,1,1],[2,2,3,-1,1,1,2,1,3,-1,2,-1]],[[1,1,2,1],[1,1,2,-1,3,2,1,1,
2,-1]],[[2,2],[3,1,2,1,1,1,3,1]],[[2,1,1,1],[3,1,2,2,3,-1,2,-1,1,1,2,-1]]],[[[
1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,3,1,2,1,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,
1,4,3,2,1,3,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1]],[[1,1,2,1],[1,1,2,-2,3,-2,
2,1,1,1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,-1,4,1,5,-2,4,2,3,
-1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,2,2,1,1,1,2,-1,3,-2,4,-1]],[[1,1,2,1],[2,1,
1,1],[3,1,2,1,3,1,4,-1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1,2,
1,1,1]]],[[[1,1,2,1],[1,1,2,-1],[2,1,3,1],[4,1,3,-1,5,-1,4,1,3,1,5,1]],[[1,1,
2,-1,1,1,2,1,1,1]],[[2,1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,1,2,1,4,1,
3,-1]]],[[[2,1,1,1],[2,2,3,-1,1,1,2,1,3,-1,2,-1]],[[1,1,2,-2,1,1,2,2,1,1]],[[
2,1,1,1],[3,1,2,2,3,-1,2,-1,1,1,2,-1]],[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,
3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,-1,2,-2,4,-1,3,1,4,-1,2,-1]],[[
1,1,2,1],[2,1,1,1],[3,2,2,1,4,1,2,1,4,1,3,-1]],[[1,1,2,1],[2,-1,1,1,2,-1,1,1,
2,-1,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,1,2,-1,3,-2,4,-1]]],[[[1,1,2,
1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]],[[2,1,1,1],[2,2,3,1,2,1,3,1,2,
-1,1,1,3,1]],[[2,1,1,1],[2,1,3,1,2,-1,1,1,3,2,2,2]],[[1,1,2,1],[2,1,1,1],[4,1,
2,1,4,1,3,-2,4,1,2,-1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,-1,4,1,3,
-2,2,-1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,1,2,1,4,1,3,-1]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1,4,-1,3,1,4,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,1,4,-1,3,2,2,
1]]],[[[2,1,1,1],[2,2,3,-1,1,1,2,1,3,-1,2,-1]],[[1,1,2,-1,1,1,2,1,1,1]],[[2,1,
1,1],[3,1,2,2,3,-1,2,-1,1,1,2,-1]],[[2,2],[3,1,2,1,1,1,3,1]]],[[[1,1,2,1],[2,
1,1,1],[1,1,2,-2,3,1,4,-1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,2,4,-1,3,
-1]],[[1,1,2,1],[1,1,3,-1,2,1,1,1,2,-1,3,1]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1,
1,1,2,-1,3,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,-1,2,-2,3,1,2,1,
3,1,4,1,5,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,1,4,-1,3,1,4,1]],[[1,1,2,1],[
1,1,2,-1,3,-1,2,-1,3,-1,2,2,3,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,
1,1,1,4,1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,-1,2,-1,3,-1,4,
-1,5,1,2,-1,3,1,4,1]],[[1,1,2,1],[2,1,1,1,2,1,3,4,2,1]],[[1,1,2,1],[1,1,2,-1,
3,1,1,1,3,-1,2,1,1,1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,-2,2,-1,4,1,1,1,2,-1,1,1,
3,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]],[[1,1,2,1],[
2,1,1,1],[2,1,3,2],[4,1,5,1,4,-1,5,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,
2,4,1]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,
1,2,1,1,1,4,1,2,1,3,2]],[[2,1,1,1],[1,1,2,-1],[2,1,3,2,4,-2,2,-2,3,-1]],[[2,1,
1,1],[3,1,2,-1,1,1,3,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1,2,1,1,
1]]],[[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,1,2,1,1,1,2,1,3,2,4,-1]],[[2,1,1,1],[3,
1,2,-2,1,1,2,2,3,-1]],[[2,1,1,1],[1,1,2,-1],[4,1,3,-2,2,-1,1,1,2,1,3,2,4,
-1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]]],[[[1,1,2,1],[2,
1,1,1],[3,1,2,1,4,-1,3,2,2,1,4,1]],[[1,1,2,1],[2,1,3,1],[2,1,1,1,4,1,3,2,4,
1]],[[1,1,2,1],[1,1,2,-1,1,1,2,-1,3,2]],[[2,1,1,1],[2,2,3,-1,1,1,2,1,3,-1,2,
-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,-1,2,-1,3,2,4,1,5,-1]],[[1,
1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,3,2,1]],[[1,1,2,1],[2,2,3,1,1,1,2,-1,3,2,2,
1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]]],[[[1,1,2,1],[1,1,
2,-1,3,-1,2,-1,3,-1,2,2,3,1,2,1,1,1]],[[1,1,2,1],[2,1,3,1],[3,1,4,1,2,1,1,1,4,
1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,3,1,2,1,3,1,4,-1]],[[1,1,2,1],[2,
1,1,1],[3,1,1,1,4,2,3,-1,2,-1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,
2,4,1]],[[1,1,2,1],[2,1,1,1],[3,2,4,2,2,1,3,2]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,
3,-1]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,
2,1,1,1,4,1,2,1,3,2]],[[1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,3,2,2,1]],[[1,1,2,
1],[2,1,1,1],[3,2,2,1,4,1,2,1,4,1,3,-1]],[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,1,2,
-1,3,-2,4,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,1,4,-1,3,1,1,1,4,1]],[[1,1,
2,1],[1,1,3,-1,2,1,1,1,2,-1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,-2,4,1,
2,-1,4,-1]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1,1,1,2,-1,3,1,2,1]]],[[[1,1,2,1],[
2,1,1,1],[3,1,4,3,2,1,3,2]],[[2,1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,
1,2,1,4,-1,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,3,-1,5,-1,3,1,5,1,
4,-1]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,4,
-1,3,2,4,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,1,4,-1,3,1,1,1,4,1]],[[1,1,2,
1],[2,1,1,1],[4,1,2,1,3,2,4,-1,3,-1]],[[2,-1,1,1,2,1]]],[[[1,1,2,1],[1,1,2,
-1],[4,1,3,1,2,1,4,1,3,1,2,1,3,1]],[[2,1,1,1],[3,1,2,2,3,-1,2,-1,1,1,2,-1]],[[
2,1,1,1],[2,1,3,1,2,-1,1,1,3,2,2,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,-1,
4,1,3,-2,2,-1]],[[2,1,1,1],[2,1,3,-1,2,-1,1,1,3,3]],[[1,1,2,1],[2,2,3,1,1,1,2,
-1,3,2,2,1]]],[[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,1,2,-1,3,-2,4,-1]],[[1,1,2,1],[
2,1,1,1],[4,1,2,1,3,4,4,1]],[[1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,3,2,2,1]]],[[[
1,1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,1]],[[2,1,1,1],[3,2,2,-2,1,1,3,2]],[[
2,1,1,1],[1,1,2,-1,3,-1,2,-1,1,1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,
1,3,-1,4,1,3,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,4,2]],[[1,1,2,1],[2,
2,3,1,1,1,2,-1,3,2,2,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,2,1,4,2]],[[2,
2],[3,1,2,1,1,1,3,1]],[[2,1,1,1],[3,1,2,2,3,-1,2,-1,1,1,2,-1]]],[[[2,1,1,1],[
1,1,2,-1],[2,1,3,2,4,-1,2,2,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-2,
3,-1]],[[1,1,2,1],[2,1,1,1],[3,2,4,3,3,-1,2,1,1,1]]],[[[2,1,1,1],[2,2,3,-1,1,
1,2,1,3,-1,2,-1]],[[1,1,2,1],[1,1,3,-2,2,2,1,1]],[[2,1,1,1],[3,1,2,2,3,-1,2,
-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,1]],[[1,1,2,1],[3,2,
2,1,1,1,2,-1,3,2]],[[2,1,1,1],[1,1,2,-1,3,-1,2,-1,1,1,2,1,3,2]]],[[[2,1,1,1],[
2,1,3,1,2,-1,1,1,3,2,2,2]],[[1,1,2,1],[1,1,3,-2,2,2,1,1]],[[2,1,1,1],[3,1,2,2,
3,-1,2,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-2,3,-1,5,-1,3,
-2,2,-1,4,-1]],[[2,1,1,1],[1,1,2,-1],[3,1,2,-1,1,1,3,1],[5,1,4,-1,5,1,4,
-1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,-1,1,1,2,1,4,-1,3,-2]],[[1,1,2,1],[2,1,1,
1],[2,2],[4,1,3,-2,5,-1,4,-1,3,-1,5,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,
-1,4,1,3,-2,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,1,2,1,1,1,2,1,3,2,4,
-1]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1]],[[2,1,1,1],[1,1,2,-1],[4,1,3,-2,2,-1,
1,1,2,1,3,2,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]],[[
1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,
2,-1],[4,1,3,-2,2,-1,5,2,4,-2,2,-1]],[[1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,3,2,2,
1]],[[2,1,1,1],[1,1,2,-1],[3,1,2,1,3,1,2,-1,1,1,4,-1,3,1,2,2,4,1]],[[1,1,2,
1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,1,
2,1,4,1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,-1,4,1,5,-2,4,2,3,
-1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,1,2,
1,1,1,3,-1,2,-2,4,-1]],[[1,1,2,1],[1,1,2,-1],[3,1,2,1,3,1,2,1,1,1],[4,1,5,-1,
4,1,5,-1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]]],[[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[5,1,3,-1,4,1,5,-2,4,2,3,-1]],[[2,1,1,1],[1,1,2,-1,3,
-1,2,-1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,
2]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[
3,1,2,1,3,1,4,-1,3,2,4,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-2,2,-1,5,
2,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,2,2,2,1,1,4,2,2,-1,3,-1]],[[1,1,2,
1],[2,1,1,1],[4,2,2,-1,3,-1,2,2,4,-1,1,1,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,
4,-1,3,1,2,1,1,1,4,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,2,1,4,1,2,1,
4,1,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,2,2,1,4,1]],[[2,2],[3,1,
2,1,1,1,3,1]],[[2,1,1,1],[2,1,3,1,2,-1,1,1,3,2,2,2]],[[1,1,2,-2,1,1,2,2,1,
1]],[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[4,1,3,-2,2,-1,5,2,4,-2,2,-1]],[[2,1,1,1],[2,1,3,-1,1,1,2,1,3,1],[4,2,2,1,
1,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1,2,1,1,1]],[[2,1,1,1],[3,1,2,1,
3,1,2,-1,1,1],[1,1,2,-1,4,-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,1,4,-2,5,
2,4,-1,3,-1,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,2,2,1,3,2,4,1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,2,4,-1,3,1,4,-2,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,
3,1,4,-1,3,2,2,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,2,2,1,1,2,-1]],[[
2,1,1,1],[1,1,2,-1],[3,1,2,-1,1,1,3,1],[5,1,4,-1,5,1,4,-1]],[[2,1,1,1],[3,1,2,
2,3,-1,2,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-3,3,-2,2,-1]]],[[[1,
1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,-2,2,-1,4,-2,3,-2,5,-1]],[[1,1,2,1],[2,1,1,
1],[4,1,3,2,2,2,1,1,4,2,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,3,2,
2,1,4,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,1,2,1,1,1,4,1,2,1,3,
2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,1,4,-2,5,2,4,-1,3,-1,2,-1,3,-1]],[[2,
1,1,1],[1,1,2,-1],[1,1,2,1,3,-2],[5,1,4,1,5,1,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,
1,1,4,1,2,1,1,1,4,1,2,2,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1,2,1,1,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1],[5,1,3,-1,4,2,3,-1,5,1]],[[1,1,2,1],[2,
1,1,1],[3,1,2,1,4,-1,3,2,2,1,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,3,2,1,3,2]],[[
1,1,2,1],[2,1,1,1],[3,2,2,1,4,-1,3,2,4,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[
5,1,4,-1,3,1,4,-1,2,-1,5,1,3,2,2,1,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,
1,1,1,4,1,2,2,3,1]],[[2,1,1,1],[2,1,3,1,2,-1,1,1,3,2,2,2]],[[1,1,2,1],[2,1,1,
1],[4,1,2,1,4,-1,3,1,2,1,3,2,4,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1],[
5,1,3,-1,4,2,3,-1,5,1]],[[1,1,2,1],[1,1,2,-1,3,-2,2,1,1,1,2,-1,3,-2]],[[1,1,2,
1],[2,1,1,1],[3,1,4,3,2,1,3,2]],[[1,1,2,1],[1,1,2,-2,3,-2,2,1,1,1,3,-2]]],[[[
2,1,1,1],[3,1,2,2,1,1,2,2,1,1,3,2]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1]],[[1,1,
2,1],[2,1,1,1],[3,1,2,1,3,1,4,-1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[3,2,4,2,2,1,
3,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,2,4,-1,5,2,3,1,2,1,3,1,4,1]],[[1,1,
2,1],[2,1,1,1],[4,1,2,1,3,4,4,1]],[[1,1,2,1],[1,1,2,-1],[2,1,1,1,3,1,2,1,3,
1],[4,1,5,-1,4,1,5,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,1,4,-1,3,1,1,1,4,
1]]],[[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]],[[1,1,2,1],[3,1,
1,1,2,-1,1,1,2,-1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2],[4,1,5,1,4,-1,5,-1]],[[
1,1,2,1],[2,1,1,1],[2,1,4,1,3,1,4,-1,1,1,2,-1,4,-2,3,-1]]],[[[1,1,2,1],[2,1,1,
1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1,2,-1,3,1,1,1,2,-2,3,
1]],[[1,1,2,1],[1,1,3,-1,2,1,1,1,2,-1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,
1,1,4,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]],[[
1,1,2,1],[1,1,3,-1,2,1,1,1,2,-1,3,1]],[[2,1,1,1],[1,1,2,-1],[2,1,3,2,4,-2,2,
-2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1,2,1,1,1]]],[[[1,1,2,1],[2,
1,1,1],[4,1,2,2,3,1,2,1,1,1,4,1,2,1,4,1,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,
3,1,4,-2,3,-1]],[[1,1,2,-2,1,1,2,2,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,
5,1,3,1,1,1,2,-1,4,-1,5,-1]]],[[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1,1,1,2,-1,3,
2]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,
1,3,3,4,2]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,-2]]],[[[2,1,1,1],[1,1,2,-1],[3,1,
2,-1,1,1,2,-2,4,2,3,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,4,-2,5,
1,3,2,2,1]],[[2,-1,1,1,2,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1,2,1,1,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,-1,4,1,3,-2,2,-1]],[[1,1,2,1],[2,1,
1,1],[3,2,4,2,2,1,3,2]],[[2,1,1,1],[1,1,2,-1],[3,1,2,-1,1,1,3,1],[4,1,5,-1,4,
1,5,-1]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]]],[[[1,1,2,1],[1,1,2,-1],[3,1,2,1,3,
1,2,1,1,1],[4,1,5,-1,4,1,5,-1]],[[2,1,1,1],[1,1,2,-1],[1,1,2,1,3,-2],[5,1,4,1,
5,1,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,3,4,2,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,
1,2,1,3,1,4,-1,3,2,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,2,2,3,1,4,-1,1,1,
2,-1]],[[2,1,1,1],[2,1,3,1,2,-1,1,1,3,1],[4,2,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[
1,1,2,-1],[5,1,4,-1,3,-1,2,-1,5,1,4,-1,1,1,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,
1,4,-1,3,2,2,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,2,1,4,2]],[[2,1,1,
1],[3,1,1,1,2,1,3,-1,2,-1]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1,1,1,2,-1,3,1,2,
1]],[[1,1,2,1],[2,2,3,1,1,1,2,-1,3,2,2,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,
-1,4,2,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[3,2,4,2,2,1,3,2]],[[2,1,1,1],[2,2,1,1,
2,1,3,-2,2,-1]],[[2,1,1,1],[3,1,2,1,3,-1,1,1,2,1,3,1,2,2]]],[[[1,1,2,1],[2,1,
1,1],[4,1,2,2,3,1,2,1,1,1,4,1,2,1,4,1,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,
1,4,-1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1],[5,1,4,-1,1,1,2,-1,5,1,4,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,1,3,1,1,1,2,-1,4,-1,5,-1]]],[[[1,1,
2,1],[2,1,1,1],[2,2,3,1,4,1,2,-1,3,-2,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,
4,4,1]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1,1,
1,2,-1,3,2]]],[[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]],[[2,1,
1,1],[1,1,2,-1],[3,2,2,-1,1,1],[5,1,4,-1,5,1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,
2,-2,4,-1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,3,4,2,2,1,1,1]]],[[[1,1,2,1],[
2,1,1,1],[1,1,2,-1,4,-1,1,1,3,-2,2,-2,4,-1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,3,4,2,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,2,4,
2,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,1,2,1,4,-2,5,3,2,-1,3,1,4,
1]],[[2,1,1,1],[1,1,2,-1],[3,1,2,-1,1,1,2,-2,4,2,3,-2,2,-1]],[[1,1,2,1],[2,1,
1,1,3,1,2,1,3,1,1,1,2,-1,3,1,2,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,
3,1,4,1,2,-1,5,1,3,1,2,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,
2,3,1]],[[2,1,1,1],[2,1,3,1,2,-1,1,1,3,2,2,2]],[[1,1,2,1],[1,1,2,-2,3,-2,2,1,
3,2,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,-3,2,-1,4,-1]]],[[[1,1,2,
1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1,2,-1,3,1,
1,1,2,-2,3,1]],[[1,1,2,-1,1,1,2,1,1,1]],[[1,1,2,1],[1,1,2,-1,3,-4,2,-1,1,1,2,
-1]]],[[[2,1,1,1],[1,1,2,-1],[3,1,2,-1,1,1,2,-2,4,2,3,-2,2,-1]],[[1,1,2,1],[2,
1,1,1],[3,1,4,2,2,1,1,1,4,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,
4,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]]],[[[1,1,
2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]],[[2,1,1,1],[3,1,2,2,1,1,2,2,
1,1,3,2]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,
4,-1,3,2,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,3,2,-1,3,-1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[5,1,4,2,5,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,2,
4,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,2,3,1,5,1,3,1,4,2,5,
-1]],[[2,1,1,1],[1,1,2,-1],[3,1,2,-1,1,1,3,1],[5,1,4,-1,5,1,4,-1]],[[1,1,2,
1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,
2,4,1,2,1,4,2]],[[1,1,2,1],[2,1,1,1,3,-2,2,-1,1,1,2,-1,3,1]],[[1,1,2,1],[2,2,
3,1,1,1,2,-1,3,2,2,1]]],[[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1,1,1,2,-1,3,2]],[[1,1,
2,1],[1,1,2,-1,3,2,2,2,3,2]],[[1,1,2,1],[2,1,1,1],[3,1,4,1,3,-2,2,-1,4,
-1]]],[[[1,1,2,1],[1,1,2,-1],[2,1,1,1,2,2,3,1,4,-1,3,-1,2,1,4,-2]],[[1,1,2,
1],[2,1,1,1],[3,2,4,2,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,1,2,1,1,1,3,
-1,2,-2,4,-1]]],[[[1,1,2,1],[2,1,3,1],[2,1,1,1,4,1,3,2,4,1]],[[1,1,2,-2,1,1,2,
2]],[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,
3,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,4,4,1]],[[2,-1,1,1,2,1]]],[[[1,1,
2,1],[2,1,1,1],[3,1,2,1,3,1,4,-1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[3,2,4,2,2,1,
3,2]],[[2,1,1,1],[1,1,2,-1,3,-1,2,-1,1,1,2,1,3,2]],[[1,1,2,1],[3,1,2,1,1,1,2,
-1,3,-1]]],[[[1,1,2,1],[1,1,2,-1],[2,1,1,1,2,2,3,1,4,-1,3,-1,2,1,4,-2]],[[1,1,
2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[3,1,2,
1,3,1,4,-1,3,2,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,4,2]],[[1,1,2,-2,1,1,
2,2]],[[1,1,2,1],[1,1,2,-2,3,1,1,1,2,-1,3,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,
3,3,1,1,4,1,2,1,1,1]],[[2,1,1,1],[1,1,2,1,1,1,3,1,2,1,1,1,3,1,2,-2]],[[1,1,2,
1],[1,1,2,-2,3,1,2,1,1,1,2,-1,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,
1,4,1,2,2,3,1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,
2,-1,4,-1,3,-3,2,-1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,3,2,1,3,2]],[[1,1,2,
1],[3,1,1,1,2,-2,3,1,1,1]],[[1,1,2,1],[1,1,2,-1,3,-4,2,-1,1,1,2,-1]]],[[[1,1,
2,1],[2,1,1,1],[4,1,2,1,4,1,3,-1,4,1,3,-2,2,-1]],[[1,1,2,1],[2,1,1,1,3,-2,2,
-1,1,1,2,-1,3,1]],[[1,1,2,1],[2,1,1,1],[3,2,4,2,2,1,3,2]]],[[[1,1,2,1],[2,1,1,
1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]],[[2,1,1,1],[3,2,2,-2,1,1,3,2]],[[1,1,2,
1],[2,1,1,1],[4,1,2,1,4,1,3,-1,4,1,3,-2,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[5,1,3,-1,4,1,5,-1,4,1,3,1,2,1,3,1,5,-1]],[[1,1,2,1],[2,1,1,1,2,1,3,4,2,
1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,2,1,3,2,4,1]]],[[[1,1,2,1],[1,1,
2,-1],[2,1,3,1],[4,1,3,-1,5,-1,4,1,3,1,5,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,
1,4,-1,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,1,2,1,4,1,3,-1]]],[[[1,1,2,
1],[2,1,3,1],[1,1,2,-1,3,1,4,1,1,1,2,-1,3,-1,4,-1]],[[1,1,2,1],[2,2,3,1,1,1,2,
-1,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1,1,1,2,-1,3,2]]],[[[1,1,2,1],[
2,1,1,1],[1,1,2,-2,4,-1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,1,2,1,
4,-1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[
4,1,3,-1,2,-2,5,2,4,-2,3,-1]],[[1,1,2,1],[1,1,2,-1,3,-1,2,1,3,1]],[[1,1,2,1],[
1,1,2,-1],[2,1,1,1,3,1,2,1,3,1],[4,1,5,-1,4,1,5,-1]]],[[[2,1,1,1],[1,1,2,-1],[
2,1,3,2,4,-1,2,2,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,3,-1,4,1]],[[1,
1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-2,3,-1]]],[[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,
1,1,3,1]],[[2,2,1,1,2,-2,1,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1]]],[[[2,1,1,
1],[2,2,3,-1,1,1,2,1,3,-1,2,-1]],[[2,1,1,1,2,2,1,1,2,2]],[[1,1,2,1],[1,1,2,-1,
3,2,1,1,2,-1]]],[[[1,1,2,1],[1,1,2,-1],[2,1,3,1],[4,1,3,-1,5,-1,4,1,3,1,5,
1]],[[2,1,1,1],[3,1,2,1,3,1,2,-1,1,1,3,1,2,2]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,
4,1,2,1,4,1,3,-1]]],[[[1,1,2,1],[1,1,2,-1],[3,1,2,1],[4,1,5,1,4,1,3,1,5,1]],[[
1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[5,1,4,2,5,1,
3,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]],[[2,1,1,1],[1,
1,2,-1],[3,2,2,-1,1,1],[5,1,4,-1,5,1,4,-1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,
-1]]],[[[1,1,2,1],[1,1,2,-1],[4,2,2,-1,3,1,4,1,1,1,2,-1,3,-1,2,-2]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[1,1,2,-1,3,1,5,1,4,1,5,1,3,1,4,1]],[[1,1,2,1],[2,1,1,
1],[4,1,2,1,3,3,1,1,4,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,3,2,1,3,2]],[[
1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,
1,4,-1,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,2,3,-1,5,2,3,2,2,1]],[[
1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[4,
1,2,1,3,3,1,1,4,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,1,2,1,4,1,3,
-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,-1,2,1,3,2]],[[1,1,2,1],[1,1,2,-1,3,
-4,2,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,1,3,-1,2,-1,3,-1,4,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,2,1,4,2]],[[1,1,2,1],[2,1,1,1],[2,1,4,
1,3,1,4,-1,3,1,2,1,3,1]]],[[[1,1,2,1],[1,1,2,-2,3,-2,2,1,3,2,2,1,1,1]],[[1,1,
2,1],[2,1,3,1],[2,1,1,1,4,1,3,2,4,1]],[[2,1,1,1],[2,1,3,1,2,-1,1,1,3,2,2,
2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,1,2,1,1,1,3,-1,2,-2,4,-1]],[[1,1,2,1],[
2,1,1,1],[4,1,2,-2,4,-1,3,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,
4,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,1]]],[[[1,1,2,1],[2,1,
1,1],[4,1,2,1,3,3,1,1,4,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1,2,-1,3,1,1,1,2,-2,3,
1]],[[1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[2,2,3,
1,4,1,2,-1,3,-2,4,-1]]],[[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,1,2,1,1,1,2,1,4,1,3,
-1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,2,1,3,1,4,-2,3,-1,5,-1]],[[
2,1,1,1],[1,1,2,-1,3,-1,2,-1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,
1,1,4,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,1,4,-1,3,1,4,1]],[[1,1,2,
1],[2,1,1,1],[4,1,2,1,3,4,4,1]],[[2,-1,1,1,2,1]],[[1,1,2,1],[2,1,1,1,3,1,2,1,
3,1,1,1,2,-1,3,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,-1,2,-1,3,2,
4,1,5,-1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,2,3,1]],[[2,2],[3,
1,2,1,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]],[[2,1,
1,1],[2,2,1,1,2,1,3,-2,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,
2,1,3,2]],[[1,1,2,1],[3,-1,2,-2,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,
-1,3,2,2,1,4,1]],[[1,1,2,1],[1,1,2,-1,3,-1,2,-1,3,-1,2,2,3,1,2,1,1,1]],[[1,1,
2,1],[2,1,1,1],[4,1,3,-1,2,-2,3,1,2,1,3,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,
4,2,2,1,3,2,4,1]],[[1,1,2,1],[3,1,1,1,2,-1,1,1,2,-1,3,1]],[[1,1,2,1],[1,1,2,
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5,-1]],[[2,1,1,1],[1,1,2,-1],[3,1,2,-1,1,1,3,1],[5,1,4,-1,5,1,4,-1]],[[2,1,1,
1,2,1,1,1,2,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,3,1,2,1,3,1,4,
-1]],[[2,1,1,1],[2,1,3,1,2,-1,1,1],[4,2,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,
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1,1,1],[4,1,2,1,3,2,4,-1,3,-1]],[[2,1,1,1],[2,2,3,3,2,-1,1,1,2,1,1,1]]],[[[1,
1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,2,1,1,4,1,2,1,1,1]],[[1,1,2,1],[3,1,1,1,2,1,1,
1,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,-1,3,-1,4,1,5,1,3,1]]],[[[
1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,3,1,2,1,3,1,4,-1]],[[1,1,2,1],[2,1,3,1],[3,
1,4,1,2,1,1,1,4,1,3,1]],[[2,1,1,1],[2,1,3,1,2,-1,1,1],[4,2,3,1]]],[[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[2,2,4,-1,5,2,3,1,2,1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[
1,1,2,-1],[4,1,3,-1,2,-2,5,2,4,-2,3,-1]],[[2,-1,1,1,2,1]]],[[[1,1,2,1],[2,1,1,
1],[4,1,2,1,3,3,4,2]],[[1,1,2,1],[1,1,2,-2,3,1,1,1,2,-1,3,2]],[[2,2],[3,1,2,1,
1,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,3,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[4,1,
2,1,3,4,4,1]],[[1,1,2,1],[3,1,1,1,2,-1,1,1,2,-1,3,1]]],[[[1,1,2,1],[2,1,1,1],[
4,1,2,2,3,1,2,1,1,1,4,1,2,1,4,1,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,3,2,1,3,
2]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-1,3,2,4,1]]],[[[1,1,2,1],[2,1,1,1],[
4,1,2,1,3,3,4,2]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1]],[[1,1,2,-2,1,1,2,2,1,
1]],[[2,2],[3,1,2,1,1,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,1,2,1,1,1,4,1,
2,1,4,1,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,3,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[
3,1,2,1,4,-1,3,2,2,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,-1,4,1,5,
-2,4,2,3,-1]],[[1,1,2,1],[2,1,3,2,1,1,2,-1,3,-1,2,1,1,1]],[[1,1,2,1],[1,1,2,
-1],[3,1,2,1,3,1,2,1,1,1,3,-1,4,-2]]],[[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,1,2,1,
4,1,3,-1]],[[1,1,2,1],[2,1,1,1],[3,2,4,2,2,1,3,2]],[[2,1,1,1,2,1,1,1,2,-1,1,1,
2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,3,2,1,3,2]],[[1,1,2,-1,1,1,2,1,1,1]],[[1,
1,2,1],[2,1,1,1],[4,1,2,1,3,4,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,
1,4,1,2,1,3,2]],[[1,1,2,1],[1,1,2,-1,3,2,2,2,3,2]],[[1,1,2,1],[2,1,1,1],[1,1,
2,-1,4,-1,3,-3,2,-1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,3,2,1,3,2]],[[1,1,2,
1],[2,1,1,1],[4,1,2,1,3,4,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1]]],[[[2,2],[
3,1,2,1,1,1,3,1]],[[2,1,1,1,2,-1]],[[1,1,2,-1,1,1,2,1,1,1]]],[[[1,1,2,1],[2,1,
1,1],[4,1,2,1,4,1,3,-1,4,1,3,-2,2,-1]],[[1,1,2,1],[1,1,2,-1],[3,1,2,1],[4,1,3,
1,5,1,4,1,5,1]],[[1,1,2,1],[3,1,1,1,2,-1,1,1,2,-1,3,1]]],[[[1,1,2,1],[2,1,1,
1],[2,1,3,1,4,-1,3,1,4,-1,2,-1]],[[2,2],[3,1,2,1,1,1,3,1]],[[1,1,2,1],[1,1,2,
-1,3,2,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,1,4,-1,2,-1]],[[1,1,
2,-1,1,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,1,4,-1,3,-1,2,-1]]],[[[2,1,
1,1],[1,1,2,-1,3,-1,2,-1,1,1,2,1,3,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1],[4,1,3,
-1,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,
1,2,-2,4,-1,3,2,4,1]],[[1,1,2,1],[3,1,1,1,2,-1,1,1,2,-1,3,1]],[[2,1,1,1],[3,1,
2,2,3,-1,2,-1,1,1,2,-1]]],[[[2,1,1,1],[1,1,2,-1],[3,1,2,-2,4,3,1,1,2,1,3,
1]],[[1,1,2,1],[2,1,1,1,3,2,2,1,1,1,2,-1,3,2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,
2,-1,4,3,2,-1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,1,4,-1,2,-1]],[[2,
1,1,1,2,2,1,1,2,2]],[[1,1,2,1],[1,1,2,-1,3,2,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,
1],[4,1,3,-2,2,-1,3,2,2,1,4,-1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,1,2,1,3,1,4,1,3,
1,2,1]],[[1,1,2,1],[2,1,3,1],[4,1,3,2,4,1,2,1,1,1]]],[[[1,1,2,1],[2,1,3,1],[2,
1,1,1,4,1,3,2,4,1]],[[1,1,2,-2,1,1,2,2]],[[1,1,2,1],[1,1,2,-1,1,1,2,-1,3,
2]]],[[[1,1,2,1],[1,1,2,-1],[2,1,1,1,2,2,3,1,4,-1,3,-1,2,1,4,-2]],[[1,1,2,1],[
2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,
-1,1,1,2,-1,3,1,2,1,3,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,2,2,1,3,2,4,1]],[[
1,1,2,1],[3,2,2,1,1,1,2,-1,3,-2]],[[1,1,2,1],[1,1,2,-1,3,2,1,1,2,-1]]],[[[1,1,
2,1],[2,1,1,1],[2,1,3,1],[5,1,4,1,5,1,3,1,4,-1]],[[1,1,2,1],[2,1,3,1],[4,1,3,
2,4,1,2,1,1,1]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]]],[[[1,1,2,1],[2,1,1,1],[2,
1,4,1,3,-1,4,1,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[3,2,4,2,2,1,3,2]],[[1,1,2,1],[
2,1,1,1],[2,1,3,2,4,-2,2,-1]]],[[[2,1,1,1],[2,1,3,1,2,-1,1,1,3,2,2,2]],[[1,1,
2,1],[2,1,3,1],[2,1,1,1,4,1,3,2,4,1]],[[1,1,2,1],[1,1,2,-1,1,1,2,-1,3,2]]],[[[
1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,2,3,1,5,1,3,1,4,2,5,-1]],[[2,1,1,1],[1,1,
2,-1],[3,1,2,-1,1,1,3,1],[5,1,4,-1,5,1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,2,4,2,2,
1,3,2]]],[[[2,1,1,1],[1,1,2,-1],[3,2,2,-1,1,1],[5,1,4,-1,5,1,4,-1]],[[1,1,2,
1],[1,1,2,-1],[4,1,1,1,2,-1,3,-2,2,-1,3,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,
2,4,3,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,3,2,1,3,2]],[[1,1,2,1],[1,1,3,
-1,2,1,1,1,2,-1,3,1]],[[1,1,2,1],[1,1,2,-1,3,-4,2,-1,1,1,2,-1]]],[[[2,1,1,1],[
1,1,2,-1],[3,1,2,-1,1,1,2,-2,4,2,3,-2,2,-1]],[[1,1,2,1],[2,1,1,1,2,1,3,4,2,
1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,2,1,4,1,3,-1]]],[[[1,1,2,1],[2,1,1,
1],[2,1,4,2,2,1,3,2,4,1]],[[1,1,2,1],[3,1,1,1,2,-1,1,1,2,-1,3,1]],[[2,1,1,1],[
2,1,3,-1,2,-1,1,1],[4,1,3,1,4,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,-1,4,
2,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,4,2]],[[1,1,2,1],[1,1,2,-1,1,1,
2,-1,3,2]]],[[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]],[[2,1,1,
1],[3,1,2,2,1,1,2,2,1,1,3,2]],[[2,1,1,1],[1,1,2,-1,3,-1,2,-1,1,1,2,1,3,2]],[[
1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,
4,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,1,3,1,4,3]],[[1,1,2,1],[2,
1,1,1],[2,1,3,2,4,1,2,1,4,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,-1,4,1,
5,-2,4,2,3,-1]],[[2,1,1,1],[1,1,2,-1,3,-1,2,-1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,
1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,3,4,2,2,1,
1,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-1,3,2,4,1]]],[[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[4,1,2,2,3,1,5,1,3,1,4,2,5,-1]],[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,
1,2,1,1,1,2,1,3,2,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,-1,4,1,3,-2,2,
-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,2,4,-1,3,-1]],[[1,1,2,1],[2,-2,3,
2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,4,2]],[[1,1,2,1],[2,1,1,1,3,-2,2,-1,1,
1,2,-1,3,1]],[[1,1,2,1],[2,2,3,1,1,1,2,-1,3,2,2,1]]],[[[1,1,2,1],[2,1,1,1],[3,
1,4,3,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[3,2,4,-1,3,1,4,-1,2,-1]],[[1,1,2,1],[3,
1,1,1,3,-1,2,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,2,2,1,3,2]],[[1,1,2,
1],[2,1,1,1],[3,2,4,-1,3,1,4,-1,2,-1]]],[[[1,1,2,1],[1,1,2,-1],[2,1,3,1],[4,1,
3,-1,5,-1,4,1,3,1,5,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,1,4,1,2,-1]]],[[[1,1,
2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,2,-1,3,-1]],[[1,1,2,1],[2,1,3,1],[3,1,4,1,2,
1,1,1,4,1,3,1]]],[[[1,1,2,1],[1,1,2,-1],[4,1,1,1,2,-1,3,-2,2,-1,3,-1,4,-1]],[[
1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,4,1,3,-2,2,-1]],[[2,1,1,1,2,-1]]],[[[1,1,
2,1],[2,1,1,1],[4,1,2,1,3,4,4,1]],[[1,1,2,1],[1,1,2,-2,3,1,1,1,2,-1,3,2]]],[[[
1,1,2,1],[2,1,1,1],[3,1,4,3,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[4,1,2,-2,4,-1,3,
-2,2,-1]]],[[[1,1,2,1],[1,1,2,-1],[4,1,1,1,2,-1,3,-1,2,-1,3,-2,4,-1]],[[1,1,2,
1],[2,1,1,1,2,-1,3,-4]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,3,2,1,3,2]],[[1,1,2,1],[
2,1,1,1,2,-1],[4,1,3,-1,4,1,3,1]]],[[[1,1,2,1],[1,1,2,-1],[4,1,3,1,2,1,3,1,4,
1,3,1,2,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,1,2,1,3,1,4,-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],[4,1,3,2,4,1,2,1,1,1]]],[[[
1,1,2,1],[2,1,1,1],[2,2,3,1,4,1,2,1,1,1,2,1,3,2,4,-1]],[[1,1,2,1],[2,1,1,1],[
4,1,2,-1,3,-2,4,1,2,2,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,3,2,1,1,
1]],[[2,1,1,1],[1,1,2,-1],[4,1,3,-2,2,-1,1,1,2,1,3,2,4,-1]]],[[[1,1,2,1],[2,1,
1,1],[1,1,2,-1],[2,2,4,-1,5,2,3,1,2,1,3,1,4,1]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,
1,1,1,2,-1,3,2]],[[2,-1,1,1,2,1]],[[2,1,1,1],[1,1,2,-1],[3,1,2,-1,1,1,2,-2,4,
2,3,-2,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1,2,1,1,1]],[[1,1,2,
1],[2,1,1,1],[3,1,1,1,4,2,3,-1,2,-1,3,-1]],[[1,1,2,-2,1,1,2,2,1,1]],[[2,1,1,
1],[3,1,2,2,1,1,2,2,1,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,
-1,2,-1,3,2,4,1,5,-1]],[[1,1,2,-2,1,1,2,2,1,1]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,
2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,2,3,1]]],[[[1,1,2,1],[
2,1,1,1],[1,1,2,-1],[5,2,3,1,4,2,3,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[3,2,4,2,2,
1,3,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,1,2,1,1,1,3,-1,2,-2,4,-1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,3,
1,2,1,3,1,4,-1]],[[1,1,2,1],[2,1,3,1],[3,1,4,1,2,1,1,1,4,1,3,1]],[[1,1,2,1],[
1,1,2,-1,3,1,1,1,3,-1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,2,3,-1,2,-1,3,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,1,2,1,1,1,3,-1,2,-2,4,-1]],[[2,1,1,1],[
1,1,2,-1],[3,1,2,-1,1,1,3,1],[5,1,4,-1,5,1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,
-2,4,-1,3,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,1]]],[[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[2,2,4,-1,5,2,3,1,2,1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[
4,1,2,1,3,4,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,1,4,-1,3,1,1,1,4,1]],[[1,1,
2,1],[2,1,1,1,3,1,2,1,3,1,1,1,2,-1,3,1,2,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[2,2,4,-1,5,2,3,1,2,1,3,1,4,1]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1,1,1,2,-1,
3,1,2,1]],[[1,1,2,1],[1,1,3,-1,2,1,1,1,2,-1,3,1]],[[2,1,1,1],[1,1,2,-1],[3,1,
2,-1,1,1,2,-2,4,2,3,-2,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,
-1,2,-2,3,1,2,1,3,1,4,1,5,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,1,1,2,-1,4,
-1,3,-1,4,1,2,-1]],[[1,1,2,1],[1,1,2,-1,3,-1,2,-1,3,-1,2,2,3,1,2,1,1,1]],[[1,
1,2,1],[2,1,1,1],[2,1,3,1],[1,1,2,-1,3,1,5,1,4,1,5,1,3,1,4,1]]],[[[1,1,2,1],[
2,1,1,1],[4,1,2,1,4,1,3,-1,4,1,3,-2,2,-1]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,
-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[3,2,
4,2,2,1,3,2]]],[[[2,1,1,1],[1,1,2,-1],[3,1,2,-1,1,1,2,-2,4,2,3,-2,2,-1]],[[1,
1,2,1],[2,1,1,1],[2,1,3,2,4,-1,3,1,4,-2,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,
2,1,3,4,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,4,-2,5,1,3,2,2,1]]],[[[
1,1,2,1],[2,1,1,1],[2,2,3,1,4,1,2,1,1,1,2,1,3,2,4,-1]],[[1,1,2,1],[3,1,1,1,2,
-1,1,1,2,-1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,1,2,1,1,1,3,-1,2,-2,4,
-1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]]],[[[1,1,2,1],[2,
1,1,1],[4,1,2,-1,3,-2,2,1,1,1,3,-1,2,-2,4,-1]],[[1,1,2,1],[2,1,1,1],[3,2,4,2,
2,1,3,2]],[[2,1,1,1],[1,1,2,-1],[3,1,2,-1,1,1,3,1],[4,1,5,-1,4,1,5,-1]],[[1,1,
2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,
1,3,1,2,1,3,1,4,-2,3,-1,5,-1]],[[1,1,2,1],[1,1,2,-1],[4,2,2,-1,3,1,4,1,1,1,2,
-1,3,-1,2,-2]],[[1,1,2,1],[1,1,2,-1],[4,1,1,1,2,-1,3,-1,2,-1,3,-2,4,-1]],[[1,
1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1,2,1,1,1]]],[[[1,1,2,1],[1,1,2,-1],[4,1,
2,1,1,1,3,-1,2,-2,4,2,2,-1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,
1,2,1,3,2]],[[1,1,2,1],[1,1,2,-1,3,-1,2,-1,3,-1,2,2,3,1,2,1,1,1]],[[1,1,2,1],[
2,1,1,1],[1,1,2,-1],[5,2,2,-1,3,1,5,1,3,1,4,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[5,1,3,1,2,1,3,1,4,-2,3,-1,5,-1]],[[2,1,1,1],[1,1,2,-1],[3,2,2,-1,1,1],[5,
1,4,-1,5,1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]],[[1,
1,2,1],[2,1,1,1],[2,1,3,3,4,2,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1,1,1,
2,-1,3,2]],[[1,1,2,1],[2,1,3,3,1,1,2,-2]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,3,2,
-1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,1]],[[1,1,2,1],[2,1,1,
1],[3,2,4,1,2,1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,2,2,1,3,2]]],[[[2,1,1,1],[1,1,2,
-1],[3,1,2,-1,1,1,2,-2,4,2,3,-2,2,-1]],[[1,1,2,1],[2,1,3,1],[4,1,3,2,4,1,2,1,
1,1]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,
1,4,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1,2,1,1,1]],[[1,1,2,
1],[2,1,1,1],[3,1,1,1,4,2,3,-1,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,
3,2,2,1,4,1]],[[2,1,1,1],[3,1,2,2,1,1,2,2,1,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[3,
1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]],[[1,1,2,-1],[2,2,1,1,2,-1,3,3,2,-1,1,1,2,
1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,-1,4,2,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[
4,1,2,1,4,1,3,-1,4,1,3,-2,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,1,2,1,1,1,
4,1,2,1,4,1,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1],[5,1,4,-1,1,1,2,-1,5,1,
4,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,2,2,1,4,1]],[[1,1,2,1],[2,1,1,1],[
2,1,3,1],[4,1,5,1,3,1,1,1,2,-1,4,-1,5,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[
5,1,4,-1,3,-1,2,-1,5,1,4,-1,3,-1,2,-2]],[[1,1,2,1],[2,1,1,1],[3,2,4,2,2,1,3,
2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,2,4,-2,3,-1,5,-2]],[[1,1,2,1],[2,1,
1,1],[2,1,3,1],[4,1,5,1,3,1,1,1,2,-1,4,-1,5,-1]]],[[[1,1,2,1],[2,1,1,1],[2,2,
3,1,4,1,2,-1,3,-2,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,4,2]],[[1,1,2,1],[
2,-2,3,2]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,2,-1,3,1]]],[[[1,1,2,1],[2,1,1,
1],[2,1,4,-1],[5,1,3,-1,4,2,3,-1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,
2,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,3,2,1,3,2]],[[1,1,2,1],[1,1,2,-2,3,-2,2,1,
1,1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1,2,1,1,1]],[[2,1,1,1,2,
1,1,1,2,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-1,3,2,4,1]],[[1,1,
2,1],[2,1,1,1],[3,2,4,2,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,1,2,1,1,1,
2,1,4,-1,3,1,4,1]],[[1,1,2,1],[1,1,2,-2,3,-2,2,1,3,2,2,1,1,1]],[[1,1,2,1],[2,
1,1,1],[3,1,2,1,3,1,4,-1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,1,3,
1,1,1,2,-1,4,-1,5,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,1]],[[2,1,
1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,2,4,-1,
2,-1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1]]],[[[1,1,2,1],[1,1,2,-1,3,-1,2,-1,3,
-1,2,2,3,1,2,1,1,1]],[[2,1,1,1],[2,2,3,-1,1,1,2,1,3,-1,2,-1]],[[1,1,2,1],[2,1,
1,1],[3,1,4,3,2,1,3,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1]]],[[[1,1,2,1],[2,1,
1,1],[4,1,2,1,3,3,1,1,4,1,2,1,1,1]],[[2,1,1,1],[3,1,2,2,1,1,2,2,1,1,3,2]],[[1,
1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,2,2,1,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,
1,4,-1,3,2,4,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,4,1,5,-1,4,2,3,
-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[3,
1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,1,4,-1,3,1,1,
1,4,1]]],[[[1,1,2,1],[1,1,2,-2,3,-2,2,1,3,2,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,
1,2,1,3,3,4,2]],[[2,2],[3,1,2,1,1,1,3,1]],[[2,1,1,1],[2,2,3,-1,1,1,2,1,3,-1,2,
-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,2,4,-1,5,2,3,1,2,1,3,1,4,1]],[[1,1,
2,1],[2,1,1,1],[4,1,2,1,3,4,4,1]],[[1,1,2,1],[1,1,3,-1,2,1,1,1,2,-1,3,1]],[[1,
1,2,1],[2,1,1,1,3,1,2,1,3,1,1,1,2,-1,3,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,
-1,4,2,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[3,2,4,2,2,1,3,2]],[[2,1,1,1,2,1,1,1,2,
-1,1,1,2,-1]],[[1,1,2,1],[2,2,3,1,1,1,2,-1,3,2,2,1]]],[[[1,1,2,1],[2,1,1,1],[
4,1,2,1,3,3,1,1,4,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,2,1,4,2]],[[1,
1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,3,2,2,1]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1,1,1,
2,-1,3,2]]],[[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]],[[2,1,1,
1],[3,1,2,2,1,1,2,2,1,1,3,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,1]],[[
1,1,2,1],[1,1,2,-2,3,-2,2,1,1,1,3,-2]]],[[[2,1,1,1],[3,1,2,2,3,-1,2,-1,1,1,2,
-1]],[[1,1,2,1],[1,1,2,-1,3,2,2,1,3,1]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,5,1,3,-1,4,-1,3,1,5,-1]],[[1,1,2,
1],[2,1,1,1],[3,2,4,2,2,1,3,2]],[[1,1,2,1],[2,2,3,2,2,1]]],[[[1,1,2,1],[2,1,1,
1],[3,1,1,1,4,3,2,-1,3,-1]],[[1,1,2,1],[1,1,2,-1,1,1,2,-1,3,2]],[[2,1,1,1],[2,
2,3,2,2,1,3,-1,1,1,2,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,3,2,-1,3,-1]],[[1,
1,2,1],[2,1,3,3,1,1,2,-2]],[[1,1,2,-1],[3,1,1,1,2,1],[4,1,1,1,2,-1,4,-1,3,
-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,2,3,1,5,1,3,1,4,2,5,-1]],[[1,1,
2,1],[1,1,2,-1],[4,1,3,2,2,1,4,1,2,-1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,
-1,3,1,4,-2,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,4,-1,2,-1,4,-1]],[[
2,1,1,1],[2,1,3,-1,2,-1,1,1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[3,1,1,1,2,-1,1,1,
2,-1,3,1]]],[[[1,1,2,1],[1,1,2,-1],[4,1,2,-1,3,1,2,1,1,1,3,-1,4,-1]],[[1,1,2,
1],[2,1,3,3,1,1,2,-2]]],[[[1,1,2,1],[2,1,3,3,1,1,2,-2]],[[1,1,2,1],[1,1,2,-1,
3,-1,2,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,2,2,1,3,2]],[[2,1,1,1],[2,1,3,-1,
1,1,2,1,1,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,-1,4,1,2,-1,3,
-1]],[[1,1,2,1],[1,1,2,-1,3,2,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,1,2,
1,1,1,2,1,4,-1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-2,3,-1]],[[1,1,
2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1,2,1,1,1]],[[1,1,2,1],[1,1,2,-2,3,-2,2,1,3,
2,2,1,1,1]]],[[[1,1,2,1],[1,1,2,-2,3,-2,2,1,3,2,2,1,1,1]],[[1,1,2,1],[2,1,1,
1],[4,1,2,1,3,3,4,2]],[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[2,1,1,1],[
2,2,3,-1,1,1,2,1,3,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,3,2,1,3,2]],[[1,1,
2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,1]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]],[[
1,1,2,1],[1,1,2,-2,3,-2,2,1,1,1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,1,4,
-1,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,2,1,4,2]],[[1,1,2,1],[2,2,3,1,
2,1,3,1]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1,1,1,2,-1,3,2]]],[[[1,1,2,1],[2,1,1,
1],[4,1,2,2,3,1,2,1,1,1,4,1,2,1,4,1,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,
4,-1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,1,3,1,1,1,2,-1,4,-1,5,
-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,2,2,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[
1,1,2,-1],[5,1,3,1,2,1,3,1,4,-2,3,-1,5,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[
5,1,3,-1,4,1,5,-2,4,2,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,1]],[[
1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-2,3,-3,2,-1]]],[[[2,1,1,1],[1,1,2,-1],[4,2,1,
1,2,1,3,1,4,-1,2,-2,3,-1]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]],[[1,1,2,1],[2,1,
1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,
2,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1,2,1,1,1]],[[1,1,2,1],[2,2,
3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,1,4,-1,3,2,2,1]],[[1,1,2,1],[2,
1,1,1,3,1,2,1,3,1,1,1,2,-1,3,1,2,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,
4,1,2,1,1,1]],[[1,1,2,1],[1,1,2,-1,3,2,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,
1,3,1,4,-1,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-2,3,-1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,2,2,3,1,2,1,1,1,4,1,2,1,4,1,3,-1]],[[1,1,2,1],[2,1,1,1],[3,
1,2,1,3,1,4,-1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,1,3,1,1,1,2,-1,
4,-1,5,-1]],[[1,1,2,1],[1,1,2,-2,3,-2,2,1,3,2,2,1,1,1]]],[[[1,1,2,1],[2,1,1,
1],[1,1,2,-1,3,-1,4,2,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[3,2,4,2,2,1,3,2]],[[1,
1,2,1],[2,1,3,1],[4,1,3,1,1,1,2,-1,4,-1]],[[2,1,1,1],[3,1,2,1,3,-1,1,1,2,1,3,
1,2,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,-1,4,1,5,-2,4,2,3,-1]],[[2,1,
1,1,2,1,1,1,2,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,-1,1,1,2,-1,3,1,2,
1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,3,4,2,2,1,1,1]]],[[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[2,2,4,-1,5,2,3,1,2,1,3,1,4,1]],[[1,1,2,1],[1,1,2,-1],[2,1,1,1,
3,1,2,1,3,1],[4,1,5,-1,4,1,5,-1]],[[2,-1,1,1,2,1]],[[2,1,1,1],[1,1,2,-1],[3,1,
2,-1,1,1,2,-2,4,2,3,-2,2,-1]]],[[[1,1,2,1],[2,1,3,1],[1,1,2,-1,3,-1,4,-1,3,1,
4,1,2,1,1,1]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,3,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,
2,1,3,3,1,1,4,1,2,1,1,1]],[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2]],[[2,1,1,1],[1,
1,2,-1],[4,1,3,-1,4,1,2,-1,1,1,2,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,
4,-1,3,2,4,1]]],[[[2,1,1,1],[3,1,2,2,1,1,2,2,1,1,3,2]],[[2,1,1,1,2,1,1,1,2,-1,
1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-1,3,2,4,1]],[[1,1,2,1],[2,1,1,
1],[3,2,4,2,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,2,1,3,1,4,-2,
3,-1,5,-1]],[[2,1,1,1],[1,1,2,-1],[3,2,2,-1,1,1],[5,1,4,-1,5,1,4,-1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,
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1,1,1]]],[[[1,1,2,1],[2,1,1,1,2,1,3,4,2,1]],[[1,1,2,1],[1,1,2,-1,3,2,2,2,3,
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-1]],[[1,1,2,1],[1,1,3,-1,2,1,1,1,2,1,3,1]]],[[[1,1,2,1],[2,1,3,3,1,1,2,
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3,2,1,1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1],[3,1,5,1,4,-1,3,-1,5,1,4,
-1]],[[2,1,1,1],[2,1,3,1,2,-1,1,1,3,2,2,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,
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1],[1,1,2,-1],[1,1,2,1,3,-2],[5,1,4,1,5,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,
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4,-1,3,-2,2,-1,3,-1,4,1,2,-1,4,-1]],[[2,1,1,1],[2,1,3,1,2,-1,1,1,3,2,2,2]],[[
1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-2,2,-1,5,2,4,-2,2,-1]]],[[[1,1,2,1],[2,
1,1,1],[4,1,2,2,3,1,2,1,1,1,4,1,2,1,4,1,3,-1]],[[1,1,2,1],[1,1,2,-2,3,-2,2,1,
1,1,3,-2]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,2,3,-1,2,-1,3,-1]],[[1,1,2,1],[2,1,
1,1],[4,1,2,1,3,3,1,1,4,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,-1,
4,1,3,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[3,2,4,2,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[
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2,1],[2,1,1,1],[4,1,2,-1,3,-2,2,1,1,1,3,-1,2,-2,4,-1]],[[1,1,2,1],[2,1,1,1],[
3,1,4,3,2,1,3,2]],[[1,1,2,1],[2,1,3,1],[1,1,2,-1,4,-1,3,-1,4,1,3,1,2,1,1,
1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1],[5,1,3,-1,4,2,3,-1,5,1]]],[[[1,1,2,1],[2,
1,1,1],[4,1,2,2,3,1,2,1,1,1,4,1,2,1,4,1,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,
3,1],[5,1,4,-1,1,1,2,-1,5,1,4,1]],[[1,1,2,1],[1,1,2,-2,3,-2,2,1,3,2,2,1,1,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,1,3,1,1,1,2,-1,4,-1,5,-1]]],[[[1,1,
2,1],[2,1,1,1],[3,1,4,3,2,1,3,2]],[[1,1,2,1],[1,1,2,-1,3,-2,2,1,1,1,2,-1,3,
-2]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]],[[1,1,2,1],[1,1,2,-2,3,-2,2,1,1,1,3,
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1,2,-1],[3,1,2,-1,1,1,3,1],[5,1,4,-1,5,1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,
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1,1,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,4,4,1]],[[1,1,2,1],[1,1,2,-1],[4,1,
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2,2,1,1,2,-2,1,1]]],[[[2,1,1,1],[1,1,2,-1],[4,2,1,1,2,1,3,1,4,-1,2,-2,3,
-1]],[[2,1,1,1],[1,1,2,1,3,2,2,1,1,1,3,1,2,2]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,3,-1,2,-2,4,-1]],[[2,1,1,1],[3,2,2,
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2,1],[2,1,3,1],[2,1,1,1,4,1,3,2,4,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,
2,3,-2,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,3,2,1,1,1]],[[1,1,2,1],[2,
1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,3,2,1,
3,2]],[[1,1,2,1],[1,1,2,-1],[4,1,3,1,2,1,4,2,3,1]],[[1,1,2,1],[1,1,2,-1,3,-4,
2,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-2,3,-3,2,-1]],[[1,1,2,1],[
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-1],[4,1,3,1,2,1,3,1,4,1,3,1,2,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[5,1,4,1,5,
1,3,1,4,-1]],[[1,1,2,1],[2,1,3,1],[4,1,3,2,4,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,
1],[2,1,3,1,4,1,2,1,4,1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,2,2,1,3,2,4,
1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,-1,4,2,3,-1,4,1]],[[1,1,2,1],[1,1,2,
-1],[4,1,3,1,2,1,4,1,3,1,2,1,3,1]]],[[[1,1,2,1],[2,1,1,1,2,1,3,4,2,1]],[[2,1,
1,1],[2,2,3,2,2,1,3,-1,1,1,2,1]]],[[[1,1,2,1],[2,1,1,1,2,1,3,4,2,1]],[[1,1,2,
1],[1,1,2,-1,3,-1,2,1,3,1]]],[[[1,1,2,1],[2,1,3,3,1,1,2,-2]],[[1,1,2,-2,1,1,2,
2]]],[[[2,1,1,1],[2,2,3,2,2,1,3,-1,1,1,2,1]],[[1,1,2,1],[2,1,3,3,1,1,2,-2]],[[
1,1,2,1],[1,1,2,-1,1,1,2,-1,3,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-1,
3,1,4,1,2,-1]],[[2,1,1,1],[2,1,3,1,2,-1,1,1,3,2,2,2]],[[1,1,2,1],[2,1,1,1],[2,
1,3,2,4,-2,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,3,2,-1,3,-1]],[[1,1,2,1],[
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1],[2,1,3,1,4,-1,3,1,4,-1,2,-1]],[[1,1,2,-1],[3,1,1,1,2,-1,3,1,1,1,2,1]],[[1,
1,2,1],[2,1,1,1],[2,1,3,2,4,-2,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,
1,3,1,1,1,2,-1,4,-1,5,-1]],[[2,1,1,1],[2,1,3,-1,1,1,2,1,1,1,3,1]],[[1,1,2,1],[
2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]],[[2,2,1,1,2,2,1,1],[3,2,2,1,1,
1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,3,2,-1,3,-1]],[[1,1,2,1],[2,1,1,
1],[2,2,4,2,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,2,4,-1,2,-1]]],[[[1,1,
2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,
-1,2,-1,3,-1,2,1,4,-1,3,1,4,1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,-2,2,-1,4,1,3,2,
2,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,3,4,-1]],[[1,1,2,1],[1,1,2,-2,1,
1,2,-1,3,-2]]],[[[1,1,2,1],[2,1,1,1,2,-1,3,1,1,1,2,-2,3,1]],[[2,1,1,1],[3,2,2,
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1],[2,-1,1,1,2,-1,1,1,2,-1,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,
1,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,1,2,1,4,-1,3,1,4,1]],[[1,1,2,1],[1,1,2,
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1],[3,1,1,1,2,-1,1,1,2,-1,3,1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,-2]],[[2,2],[
3,1,2,1,1,1,3,1,1,1,2,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,1,4,-1,3,1,1,1,4,
1]],[[1,1,2,1],[2,1,1,1,2,-1,3,-1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,
3,-3]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,2,-1]],[[1,1,2,1],[1,1,2,-1,1,1,2,
-1,3,2]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1,
4,-2,3,-1]],[[1,1,2,1],[3,2,2,1,1,1,2,1,3,2]]],[[[2,1,1,1],[3,1,2,2,3,-1,2,-1,
1,1,2,-1]],[[1,1,2,-1,1,1,2,1,1,1]],[[2,2],[3,1,2,1,1,1,3,1]],[[2,1,1,1],[2,2,
1,1,2,1,3,-2,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,2,-1,3,-2,2,1,1,
1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,4,1,3,-2,2,-1]],[[2,2],[3,1,2,1,1,
1,3,1]]],[[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[2,1,1,1,2,2,1,1,2,
2]],[[1,1,2,-2,1,1,2,2,1,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,1,4,-1,3,2,2,
1]],[[2,1,1,1],[2,1,3,-1,1,1,2,1],[4,2,3,1]],[[1,1,2,1],[1,1,2,-1,3,2,2,1,3,1,
2,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,2,2,1,3,2]],[[1,1,2,1],[2,1,3,1,1,1,2,
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1,1,2,-2,4,-1,3,2,4,1]],[[2,-1,1,1,2,1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,
-1]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,
4,2]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,3,1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1,2,-1,3,
-2,2,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]],[[1,1,
2,1],[2,1,1,1],[3,1,4,2,2,1,4,-1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,
1,1,4,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,3,2,2,1,4,-1]]],[[[1,1,
2,1],[2,1,1,1],[2,1,3,2,4,-2,2,-1]],[[2,2],[3,1,2,1,1,1,3,1]],[[1,1,2,1],[1,1,
2,-1,3,2,1,1,2,-1]]],[[[1,1,2,1],[1,1,3,-2,2,2,1,1]],[[1,1,2,1],[1,1,2,-1,3,2,
1,1,2,-1]],[[2,2],[3,1,2,1,1,1,3,1]]],[[[1,1,2,1],[1,1,2,-2,3,-2,2,1,3,2,2,1,
1,1]],[[1,1,2,1],[2,1,1,1,2,2,3,1,1,1,2,-1,3,2]],[[2,1,1,1],[2,1,3,1,2,-1,1,1,
3,2,2,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,2,1,4,2]],[[1,1,2,1],[3,1,1,1,2,
-1,1,1,2,-1,3,1]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1,1,1,2,-1,3,1,2,1]]],[[[1,1,
2,1],[2,1,1,1],[4,1,3,-2,2,-1,3,2,2,1,4,-1]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,
-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,2,1,4,-1,3,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[
2,1,3,1],[5,1,4,2,5,1,3,1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,-2,2,-1,4,1,3,
1]]],[[[1,1,2,1],[2,1,1,1,2,-1,3,-2,1,1,2,-1,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,
1],[2,1,4,2,2,1,3,2,4,1]],[[1,1,2,1],[1,1,2,-1,3,2,1,1,2,-1]]],[[[1,1,2,1],[2,
1,1,1],[4,2,3,-1,2,1,4,1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-2,3,
-1]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,-1,2,2,1,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,
4,3,2,1,3,2]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,3,1,1,1,2,-1]],[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1]]],[[[1,1,2,1],[2,1,3,1,1,1,2,-1,1,1,2,-2,3,1]],[[2,1,1,1],[1,1,
2,1,3,-1,2,-1,3,1]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]]],[[[1,1,2,1],[2,1,3,1,
1,1,2,-1,1,1,2,-2,3,1]],[[1,1,2,1],[1,1,2,-2,3,3,2,1]],[[2,1,1,1],[3,1,2,-2,1,
1,2,2,3,-1]]],[[[1,1,2,1],[1,1,2,-1,3,-1,2,-1,3,-1,2,2,3,1,2,1,1,1]],[[1,1,2,
1],[2,1,1,1],[4,2,3,-1,2,1,4,1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,
-2,3,-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,1,2,1,4,1,3,-1]],[[1,1,2,1],[2,1,
3,1],[1,1,2,-1,3,-1,4,-1,1,1,2,-1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,2,1,3,1,1,1,
2,-1,1,1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,2,4,-1,2,-1]],[[2,1,1,1,2,
2,1,1,2,-2,1,1,2,1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1]]],[[[1,1,2,1],[2,1,1,
1],[1,1,2,-2,4,-1,3,2,4,1]],[[1,1,2,1],[1,1,2,-2,3,3,2,1]],[[2,1,1,1],[3,1,2,
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2,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,2]]],[[[1,1,2,1],[2,1,1,
1],[2,1,4,2,2,1,3,2,4,1]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]],[[1,1,2,1],[1,1,2,
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1,1,1],[3,1,4,-3,3,-1,2,-2]],[[2,1,1,1],[3,1,1,1,2,1,3,-1,2,-1]]],[[[1,1,2,
1],[2,1,1,1],[3,1,2,1,3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,3,2],[4,1,2,1,1,1,4,
1]],[[2,2],[3,1,2,1,1,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,2,2,2,3,1]],[[1,1,
2,1],[2,1,1,1],[2,1,3,1,4,-1,3,1,4,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,
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1,1,3,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,2,4,-1,2,-1]],[[2,1,1,1],[2,
2,1,1,2,1,3,-2,2,-1]],[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]]],[[[1,1,2,
1],[1,1,2,-1],[4,2,3,2,2,1,3,1,1,1,2,-1]],[[1,1,2,1],[2,2,3,2,2,1,3,1]]],[[[1,
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1,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1]]],[[[1,1,2,1],[2,1,1,1,3,-3,2,2,1,
1]],[[2,2],[3,1,2,1,1,1,3,1]],[[1,1,2,-1,1,1,2,1,1,1]]],[[[1,1,2,1],[1,1,2,-2,
1,1,2,-1,3,2,2,1]],[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[1,1,2,1],[2,
1,1,1],[2,1,4,-1,3,2,4,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,
3,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,2,2,1,3,2,4,1]],[[1,1,2,1],[1,1,2,-1,3,2,1,
1,2,-1]]],[[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1]],[[1,1,2,1],[1,1,2,-2],[4,1,3,1,
4,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,2,4,1,2,1,4,-1,3,1]],[[1,1,2,1],[
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1,2,1],[1,1,2,-1,1,1,2,-1,3,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,2,4,-1,2,
-1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,1,4,1,2,-1,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,
1,2,1,4,1,3,-2,4,1,2,-1,4,-1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,1,2,1,3,1,4,1,3,1,
2,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,1]],[[1,1,2,1],[2,1,3,2,1,1,
2,-2,3,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,2,1,1,4,1]],[[1,1,2,1],[1,1,3,
-1,2,1,1,1,2,-1,3,1]]],[[[1,1,2,1],[2,2,1,1,3,-2,2,-1,3,-1]],[[2,1,1,1],[2,2,
1,1,2,1,3,-2,2,-1]],[[2,2],[3,1,2,1,1,1,3,1]]],[[[1,1,2,1],[2,1,3,1],[3,1,4,1,
2,1,1,1,4,1,3,1]],[[1,1,2,1],[2,1,3,2,2,1,1,1,2,2]]],[[[1,1,2,1],[2,1,1,1],[2,
1,3,1],[4,1,5,-1,3,-1,4,1,5,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,
2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,1,4,-1,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[
2,1,3,2,4,1,2,1,4,2]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,2,4,-1,2,-1]]],[[[1,1,
2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,1]],[[1,1,2,1],[2,1,1,1,2,-1,3,-1,2,1,3,
1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,2,4,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,
1,3,2,4,1,3,-1,2,-2,4,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,1,2,2,3,1]],[[
2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[5,1,4,2,5,
1,3,1]],[[1,1,2,1],[3,1,2,1,3,1,1,1,2,-1,3,2,2,1]],[[2,1,1,1,2,1,1,1,2,-1,1,1,
2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,2,2,1,4,1]],[[2,1,1,1],[2,1,3,1,
2,-1,1,1],[4,2,3,1]],[[1,1,2,1],[3,2,2,1,3,1,2,1,3,1,1,1,2,-1]]],[[[1,1,2,1],[
2,1,1,1],[2,1,4,2,2,1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,-1,4,
2]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-2,3,-1]]],[[[1,1,2,1],[2,1,1,1,3,1,2,
1,3,1,1,1,2,-1,3,1,2,1]],[[2,1,1,1],[2,1,3,-1,1,1,2,1],[4,2,3,1]],[[1,1,2,1],[
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1],[1,1,2,-1,3,2,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,2,4,-1,2,
-1]],[[2,1,1,1],[1,1,2,-1,3,-3,2,-1,1,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,
-2,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,2,4,2]]],[[[1,1,2,1],[2,1,1,1],[4,2,
3,-1,2,1,4,1,3,-1,4,1]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,3,1,1,1,2,-1]],[[1,1,2,
1],[2,1,1,1],[3,1,2,1,4,-1,3,2,2,1,4,1]]],[[[1,1,2,1],[2,1,3,1],[3,1,4,2,2,1,
1,1]],[[2,1,1,1],[3,1,1,1,2,1,3,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1,3,-3,2,2,1,
1]],[[2,1,1,1],[2,1,3,3,2,-2,1,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,2,4,-1,
2,-1]],[[1,1,2,1],[1,1,2,-1,3,1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,
-1,2,-1]],[[1,1,2,1],[2,1,1,1,2,-1],[3,1,4,1,3,1,4,1]]],[[[1,1,2,1],[2,1,1,
1],[2,1,3,1,4,3,3,-1]],[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,-2,3,-1]],[[2,1,1,1],[
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3,2,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,1,1,2,-1,3,1,2,1]]],[[[2,1,1,1],[1,1,
2,-1,3,-1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,4,1]]],[[[2,1,1,1],[3,1,
1,1,2,1,3,-1,2,-1]],[[1,1,2,-1,1,1,2,2,1,1]]],[[[1,1,2,1],[2,1,1,1,2,2,3,2,2,
1]],[[1,1,2,1],[1,1,2,-1,3,2,1,1,2,-1]]],[[[2,1,1,1],[2,1,3,-1,2,-1,1,1,2,1,3,
1]],[[1,1,2,1],[2,-1,1,1,2,-1,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,
4,1]],[[1,1,2,1],[1,1,2,-1,1,1,2,-1,3,2]],[[2,1,1,1,2,-1]]],[[[2,1,1,1],[1,1,
2,-1],[3,1,2,-1,1,1,2,-2,4,2,3,-2,2,-1]],[[2,-1,1,1,2,1]],[[1,1,2,1],[2,1,1,
1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,
1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,1,2,1,4,1,3,-1]],[[1,1,2,1],[1,1,
2,-1,3,-4,2,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,2,2,1,3,2]],[[2,1,1,
1],[3,1,1,1,2,1,3,-1,2,-1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1]],[[2,1,1,1,2,1,
1,1,2,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,1]],[[2,1,1,
1],[3,1,2,2,3,-1,2,-1,1,1,2,-1]],[[1,1,2,-1,1,1,2,1,1,1]],[[2,1,1,1],[3,1,2,
-2,1,1,2,2,3,-1]]],[[[1,1,2,1],[1,1,2,-1],[4,1,3,1,2,1,4,1,3,1,2,1,3,1]],[[2,
2],[3,1,2,1,1,1,3,1]],[[2,1,1,1],[2,1,3,1,2,-1,1,1,3,2,2,2]],[[2,1,1,1],[3,1,
2,2,3,-1,2,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,4,2]],[[2,1,1,
1],[2,2,1,1,2,1,3,-2,2,-1]],[[2,1,1,1],[3,1,2,2,3,-1,2,-1,1,1,2,-1]],[[2,2],[
3,1,2,1,1,1,3,1]]],[[[2,1,1,1],[2,2,3,-1,1,1,2,1,3,-1,2,-1]],[[1,1,2,1],[1,1,
3,-2,2,2,1,1]],[[2,1,1,1],[3,1,2,2,3,-1,2,-1,1,1,2,-1]],[[2,2],[3,1,2,1,1,1,3,
1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,1,4,-1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[
4,1,2,1,3,4,4,1]],[[2,-1,1,1,2,1]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1,1,1,2,-1,3,
2]],[[1,1,2,-1,1,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,1,2,-1,3,-2,4,
-1]],[[2,1,1,1],[2,2,3,-1,1,1,2,1,3,-1,2,-1]],[[1,1,2,-2,1,1,2,2,1,1]],[[1,1,
2,1],[2,1,1,1,3,1,2,1,3,1,1,1,2,-1,3,2]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,
-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,1,2,1,1,1,3,-1,2,-2,4,-1]],[[2,1,1,1],[
1,1,2,-1],[3,1,2,-1,1,1,3,1],[5,1,4,-1,5,1,4,-1]],[[2,1,1,1],[3,1,2,-2,1,1,2,
2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,-1,4,1,3,-2,2,-1]],[[1,1,2,1],[2,
1,1,1],[1,1,2,-2,4,-1,3,2,4,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,-1,4,2,3,
-1,4,1]],[[1,1,2,1],[2,1,3,1],[2,1,1,1,4,1,3,2,4,1]],[[1,1,2,1],[1,1,2,-1,1,1,
2,-1,3,2]],[[2,1,1,1],[2,2,3,2,2,1,3,-1,1,1,2,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,
2,-1],[4,1,2,2,3,1,5,1,3,1,4,2,5,-1]],[[2,1,1,1],[1,1,2,-1],[3,1,2,-1,1,1,3,
1],[5,1,4,-1,5,1,4,-1]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,
1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,2,
1,4,2,2,1,1,1]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,1,1,2,-1,4,-1]],[[1,1,2,1],[2,1,
1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]],[[2,1,1,1],[1,1,2,-1],[3,1,2,-1,1,1,3,
1],[5,1,4,-1,5,1,4,-1]]],[[[2,1,1,1],[1,1,2,-1],[2,1,3,2,4,-2,2,-2,3,-1]],[[1,
1,2,1],[2,1,1,1,2,-1,3,1,1,1,2,-2,3,1]],[[1,1,2,1],[1,1,3,-1,2,1,1,1,2,-1,3,
1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,4,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,3,2,
1,3,2]],[[1,1,2,-1,1,1,2,1,1,1]],[[2,-1,1,1,2,1]],[[1,1,2,1],[1,1,2,-1,3,-4,2,
-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,3,2,1,3,2]],[[1,1,2,1],[1,1,3,-1,
2,1,1,1,2,-1,3,1]],[[1,1,2,1],[3,1,1,1,2,-1,1,1,2,-1,3,1]],[[1,1,2,1],[2,1,1,
1],[4,1,2,1,3,4,4,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,-1,4,2,3,-1,4,1]],[[
1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,4,2]],[[1,1,2,1],[1,1,2,-1,1,1,2,-1,3,2]],[[2,
1,1,1],[2,2,3,2,2,1,3,-1,1,1,2,1]]],[[[2,1,1,1],[1,1,2,-1],[3,1,2,-1,1,1,2,-2,
4,2,3,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,3,2,2,1]],[[1,1,
2,-1,1,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,4,-2,5,1,3,2,2,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,-1,3,-1,4,1,5,1,3,1]],[[2,2,1,1,2,
-2,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,1,3,-2]]],[[[1,1,2,1],[2,1,1,
1],[4,1,2,1,3,3,4,2]],[[1,1,2,1],[2,1,1,1,3,-2,2,-1,1,1,2,-1,3,1]],[[2,1,1,
1],[3,1,1,1,2,1,3,-1,2,-1]]],[[[2,1,1,1],[1,1,2,-1],[3,1,2,-1,1,1,2,-2,4,2,3,
-2,2,-1]],[[1,1,2,1],[1,1,2,-1,3,2,2,2,3,2]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,
3,4,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,4,2]],[[1,1,2,-1],[3,1,1,1,2,1],[
4,1,1,1,2,-1,4,-1,3,-1]],[[1,1,2,1],[1,1,2,-2,3,1,1,1,2,-1,3,2]]],[[[1,1,2,
1],[1,1,2,-1],[2,1,1,1,3,1,2,1,3,1],[4,1,5,-1,4,1,5,-1]],[[1,1,2,1],[2,1,1,
1],[4,1,2,1,3,3,1,1,4,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,1,4,-1,3,1,
4,1]],[[2,-1,1,1,2,1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,
2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1,2,1,1,1]],[[1,1,2,1],[1,1,2,
-2,1,1,2,-1,3,-2]],[[2,1,1,1],[1,1,2,-1],[4,1,3,-1,4,1,2,-1,1,1,2,-2,3,-1]],[[
1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,
4,-1,3,2,2,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,-1,4,1,3,-2,2,-1]],[[
2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]],[[1,1,2,1],[2,1,1,1],[3,2,4,2,2,1,3,2]],[[2,
1,1,1,2,1,1,1,2,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,1,2,1,1,1,2,1,4,-1,3,1,4,1]],[[1,1,2,
1],[1,1,2,-2,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,1,3,1,1,1,
2,-1,4,-1,5,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1],[5,1,4,-1,1,1,2,-1,5,1,4,
1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,2,2,1,4,1]]],[[[2,1,1,1],[1,1,2,-1],[
3,1,2,-1,1,1,2,-2,4,2,3,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,1,4,-1,3,1,
4,1]],[[2,-1,1,1,2,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1,2,1,1,1]],[[
1,1,2,1],[1,1,2,-1],[2,1,1,1,3,1,2,1,3,1],[4,1,5,-1,4,1,5,-1]]],[[[1,1,2,1],[
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3,-1,4,1,5,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,2,2,-1,3,-1]],[[1,1,2,1],[
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1,1],[3,2,2,-2,1,1,3,2]],[[1,1,2,1],[3,1,1,1,2,-1,1,1,2,-1,3,1]]],[[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[4,1,5,-1,3,-1,4,1,5,1,3,1]],[[2,1,1,1],[1,1,2,1,3,-1,
2,-1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,1,4,-1,2,-1]]],[[[1,1,2,1],[2,
1,1,1],[2,1,3,2],[4,1,5,1,4,-1,5,-1]],[[2,1,1,1],[3,2,2,-2,1,1,3,2]],[[2,1,1,
1],[1,1,2,-1,3,-1,2,-1,1,1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,2,1,
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1,1],[2,1,3,1,4,-1,3,1,4,-1,2,-1]],[[1,1,2,1],[1,1,2,-1,3,-1,2,1,1,1,2,1,3,
2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,
3,2,4,1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,2,-1,3,-1]],[[2,1,1,1],[3,1,2,-2,1,1,2,
2,3,-1]]],[[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,1,2,-1,3,-2,4,-1]],[[1,1,2,1],[2,1,
1,1],[4,1,2,1,3,2,4,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,1,4,-1,3,1,1,1,
4,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,3,2,2,1,4,-1]],[[1,1,2,1],[2,1,3,
1],[4,1,3,2,4,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,3,-1,5,-1,4,-1,
5,-1]]],[[[1,1,2,1],[1,1,2,-2,3,-2,2,1,1,1,3,-2]],[[1,1,2,1],[2,1,3,1],[3,1,4,
1,2,1,1,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-1,3,2,4,1]]],[[[1,1,
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1,1],[4,1,2,-1,3,-2,4,1,2,-1,3,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,3,-1,2,1,1,
1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,
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1,2,1],[2,1,1,1],[4,1,2,1,3,4,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1],[5,1,
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2]],[[1,1,2,1],[1,1,2,-2,3,-2,2,1,1,1,3,-2]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,
3,1,1,4,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,1,2,-1,3,-2,4,-1]],[[2,
1,1,1],[3,2,2,-1,1,1,2,1,3,1]],[[1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,3,2,2,
1]]],[[[2,1,1,1],[1,1,2,-1,3,-1,2,-1,1,1,2,1,3,2]],[[2,1,1,1],[3,2,2,-2,1,1,3,
2]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,4,
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1,2,1,3,1,1,1,2,-1,3,2]],[[1,1,2,1],[2,1,1,1,3,-2,2,-1,1,1,2,-1,3,1]],[[1,1,2,
1],[2,1,1,1],[4,1,2,1,3,3,4,2]],[[1,1,2,1],[2,2,3,1,1,1,2,-1,3,2,2,1]]],[[[1,
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1]],[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,2,2,
1,3,2]],[[2,2,1,1,2,-2,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,
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2,-2,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-2]]],[[[1,1,2,1],[2,1,1,
1],[3,2,4,2,2,1,4,1,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,2,2,1,3,2,4,1]],[[1,1,
2,1],[2,1,1,1],[3,1,2,1,3,1,4,-2,3,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,2,
4,-1,2,-1]],[[1,1,2,1],[3,1,2,1,3,2,2,1,1,1]],[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,
1,1,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,3,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[4,
1,2,-2,4,-1,3,-2,2,-1]],[[1,1,2,1],[1,1,2,-2,3,-2,2,1,1,1,3,-2]]],[[[1,1,2,
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2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,2,2,-1,3,-1]],[[1,1,2,1],[1,1,2,-2,3,-2,
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3,1],[4,1,3,2,4,1,2,1,1,1]],[[1,1,2,-1,1,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[
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1,4,-1,5,1,4,-1]],[[2,1,1,1],[3,1,2,2,3,-1,2,-1,1,1,2,-1]],[[2,1,1,1],[1,1,2,
-1],[4,1,3,-2,2,-1,1,1,2,1,3,2,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,
1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1,2,1,1,1]],[[1,1,2,1],[
2,2,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,2,-1,4,-1,3,-2,2,-1]],[[
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1,2,-1,3,2]]],[[[2,1,1,1],[1,1,2,-1],[3,1,2,-1,1,1,2,-2,4,2,3,-2,2,-1]],[[1,1,
2,1],[2,1,1,1,3,1,2,1,3,1,1,1,2,-1,3,2]],[[2,-1,1,1,2,1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-2,3,1,4,-1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1,2,1,
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1,4,1,2,1,3,2]],[[1,1,2,1],[1,1,3,-1,2,1,1,1,2,-1,3,1]],[[2,1,1,1],[1,1,2,
-1],[2,1,3,2,4,-2,2,-2,3,-1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1]],[[1,1,2,1],[
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1,1,1,4,1,2,1,4,1,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-2,3,-1]],[[1,1,
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1],[2,1,3,1],[4,1,5,1,3,1,1,1,2,-1,4,-1,5,-1]]],[[[1,1,2,1],[1,1,2,-1,3,-1,2,
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1],[2,1,3,1],[3,1,4,1,2,1,1,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,3,
1,2,1,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,2,3,-1,2,-1,3,-1]]],[[[1,1,2,
1],[2,1,1,1],[3,1,2,1,4,-1,3,1,4,-1,2,-1]],[[1,1,2,1],[2,1,3,1],[2,1,1,1,4,1,
3,2,4,1]],[[1,1,2,1],[1,1,2,-1,1,1,2,-1,3,2]]],[[[1,1,2,1],[2,1,1,1],[2,2,3,1,
4,1,2,-1,3,-2,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,4,4,1]],[[1,1,2,1],[2,1,
1,1],[1,1,2,-2,3,1,4,-1,3,1,4,1]]],[[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1,1,1,2,-1,
3,1,2,1]],[[2,1,1,1],[2,1,3,-1,1,1,2,1],[4,2,3,1]],[[1,1,2,1],[3,2,2,1,1,1,2,
-1,3,-2]]],[[[1,1,2,1],[2,1,3,1],[3,1,4,1,2,1,1,1,4,1,3,1]],[[2,1,1,1,2,
-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-2,3,-1]]],[[[1,1,2,1],[2,1,1,1],[4,
1,2,1,3,3,4,2]],[[1,1,2,1],[2,1,1,1,3,-2,2,-1,1,1,2,-1,3,1]],[[2,1,1,1],[1,1,
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1,1,2,1],[2,-2,3,2]],[[2,1,1,1],[2,2,3,1,2,1,3,1,2,-1,1,1,3,1]]],[[[1,1,2,1],[
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1],[3,1,4,1,2,1,1,1,4,1,3,1]]],[[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1,1,1,2,-1,3,
2]],[[1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,3,2,2,1]],[[1,1,2,1],[1,1,2,-1,3,-4,2,
-1,1,1,2,-1]],[[2,-1,1,1,2,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,-1,4,1,3,
-2,2,-1]],[[1,1,2,1],[1,1,2,-1],[3,1,2,1],[4,1,3,1,5,1,4,1,5,1]],[[2,1,1,1],[
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2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]],[[1,1,2,1],[2,1,3,1],[1,1,2,-1,4,-1,3,-2,4,
-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,4,2]],[[1,1,2,1],[2,1,1,1,3,-2,2,-1,
1,1,2,-1,3,1]],[[2,2],[3,1,2,1,1,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,
4,2]],[[1,1,2,1],[1,1,3,-2,2,2,1,1]],[[1,1,2,1],[2,-2,3,2]]],[[[2,1,1,1],[1,1,
2,-1],[3,2,2,-1,1,1],[5,1,4,-1,5,1,4,-1]],[[2,1,1,1],[1,1,2,-1,3,-1,2,-1,1,1,
2,1,3,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-3,3,-2,2,-1]]],[[[1,1,2,1],[2,1,1,
1],[4,1,3,-1,2,-2,3,1,2,1,3,1,4,-1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,1,2,1,4,1,3,
1,2,1,3,1]],[[2,1,1,1],[2,1,3,1,2,-1,1,1,3,2,2,2]]],[[[1,1,2,1],[2,1,1,1],[3,
1,4,3,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,3,-1,4,1]],[[2,1,1,1,2,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,-1,3,-1,4,1,5,1,3,1]],[[2,2,1,1,
2,-2,1,1]],[[1,1,2,1],[1,1,2,-2,3,-2,2,1,1,1,3,-2]]],[[[1,1,2,1],[1,1,2,-1,3,
-1,2,1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1,2,-1],[3,1,4,1,3,-1,4,1]],[[2,1,1,1,
2,1,1,1,2,-1,1,1,2,-1]]],[[[1,1,2,1],[1,1,2,-1],[3,1,2,1],[4,1,3,1,5,1,4,1,5,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2],[4,1,5,1,4,-1,5,-1]],[[2,1,1,1],[3,1,2,2,3,
-1,2,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,1]],[[1,1,2,
1],[2,1,1,1],[4,1,3,-1,2,-1,3,1,2,1,4,-1]],[[2,1,1,1],[3,1,2,2,3,-1,2,-1,1,1,
2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,3,-1,5,-1,3,1,5,1,4,-1]],[[2,1,1,
1],[2,2,3,1,2,1,3,1,2,-1,1,1,3,1]],[[2,1,1,1],[2,2,3,-1,1,1,2,1,3,-1,2,
-1]]],[[[1,1,2,1],[1,1,2,-2,3,-2,2,1,3,2,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,
2,1,3,3,4,2]],[[2,1,1,1],[3,1,2,2,3,-1,2,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,
1],[3,1,2,1,3,1,4,-1,3,2,4,1]],[[1,1,2,1],[2,1,3,1],[3,1,4,1,2,1,1,1,4,1,3,
1]],[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,
1,5,-1,3,-1,4,1,5,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,2,4,-1,3,1,4,-1,2,-1]],[[2,
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1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1,1,
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1],[2,1,4,1,3,2,4,2]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,-1,2,-1]]],[[[2,1,1,1],[
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1,3,1],[3,1,4,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,2,-1]],[[1,1,2,-1,1,1,
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1],[2,1,1,1],[1,1,2,-1],[2,1,4,1,3,1,4,-1,5,1,3,1,2,1,4,-2,5,1]]],[[[1,1,2,
1],[2,1,1,1],[3,1,2,1,3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1,2,-1],[4,1,3,1,4,1,
3,1]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,-2]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,
1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,
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3,1,4,-1,3,-1,4,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,2,2,2,3,1]],[[2,1,1,
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1],[2,1,1,1],[4,2,3,-1,2,1,4,1,3,-1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
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1],[1,1,2,-2,4,-1,3,2,4,1]],[[1,1,2,1],[2,1,3,2,1,1,2,-2,3,1]],[[1,1,2,1],[1,
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2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,2,2,1,1,2,-1]],[[2,1,1,1],[1,1,2,-1],[3,1,2,
-1,1,1,3,1],[5,1,4,-1,5,1,4,-1]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1]],[[2,1,1,
1],[1,1,2,-1],[4,1,3,-2,2,-1,1,1,2,1,3,2,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,
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1,1,2,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,2,-1,4,-1,3,-2,2,-1]],[[1,1,2,
1],[2,1,1,1],[2,1,4,1,3,1,4,-1,3,2,2,1]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1,1,1,
2,-1,3,2]]],[[[2,1,1,1],[3,1,2,2,3,-1,2,-1,1,1,2,-1]],[[2,1,1,1],[3,2,2,-2,1,
1,3,2]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,
4,-1,3,2,4,1]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,1,1,2,-1,4,-1]],[[2,1,1,1],[3,1,
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1],[2,2,1,1,2,1,3,-2,2,-1]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]],[[2,1,1,1],[3,
1,2,2,3,-1,2,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1,2,-1,3,-4,2,-1]],[[2,1,1,1],[
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1,2,2,1,1,2,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,3,-1,2,-2,4,-1]],[[2,1,1,
1],[3,2,2,-2,1,1,3,2]],[[1,1,2,1],[2,1,1,1,2,-1,3,-4,2,-1]]],[[[1,1,2,1],[1,1,
2,-1],[3,1,2,1],[4,1,3,1,5,1,4,1,5,1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,1,2,1,4,1,
3,1,2,1,3,1]],[[2,1,1,1],[3,1,2,2,3,-1,2,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,
1],[2,1,3,1,4,1,2,1,4,1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,2,2,1,3,2,4,
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1],[3,1,1,1,2,1,3,-1,2,-1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1]]],[[[2,1,1,1],[
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1,1,2,1],[3,1,4,2]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1]]],[[[1,1,2,1],[1,1,2,
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3,1,1,1,3,-1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,2,-1]],[[1,1,2,
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1,1,2,2,1,1,2,2]],[[2,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,2,
-1]],[[1,1,2,1],[3,2,2,1,1,1,2,-2,3,1]],[[2,2],[3,1,2,1,1,1,3,1]]],[[[1,1,2,
1],[2,1,1,1],[2,1,3,2,4,-2,2,-1]],[[1,1,2,1],[2,1,1,1,2,-1,3,-4]],[[1,1,2,1],[
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1]]],[[[1,1,2,1],[2,1,1,1],[4,2,3,-1,2,1,3,1,4,1]],[[1,1,2,1],[2,1,1,1,2,-1,3,
3]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,3,-1,2,1,1,1]]],[[[2,1,1,1],[2,2,3,-1,1,1,2,
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2,-1]],[[2,2],[3,1,2,1,1,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,1,4,
2]],[[1,1,2,1],[3,1,1,1,2,-1,3,2]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-2,3,
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3,-1,2,-2]],[[1,1,2,1],[1,1,2,-1,3,2,1,1,2,-1]]],[[[2,1,1,1],[2,1,3,-1,1,1,2,
1,1,1,3,1]],[[2,2],[3,1,2,1,1,1,3,1]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]]],[[[1,
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2,1,1,1],[3,2,2,-1,1,1,3,2]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1]]],[[[1,1,2,
1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,1]],[[1,1,2,1],[3,1,1,1,2,-1,1,1,2,-1,3,
1]],[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,
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3,2]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,-1,3,
1,4,2]],[[1,1,2,1],[2,-1,3,2,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1,2,-1,3,-1,2,-1,3,
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4,-2,3,-1]],[[1,1,2,1],[3,2,2,1,1,1,2,1,3,2]],[[1,1,2,1],[1,1,2,-1,3,2,1,1,2,
-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,1,4,1]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,
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LIBTOM( "2^4:A5",
[[1],[1,2],[1,3],[1,4],[1,2,5],[1,2,6],[1,2,7],[1,2,8],[1,3,9],[1,3,10],[1,3,
11],[1,3,12],[1,2,13],[1,2,3,14],[1,2,3,15],[1,2,16],[1,2,3,17],[1,2,18],[1,
19],[1,3,4,20],[1,2,5,13,21],[1,2,5,18,22],[1,2,3,5,14,15,17,23],[1,2,5,6,7,8,
24],[1,2,5,16,25],[1,2,3,8,14,18,26],[1,2,3,9,10,11,12,14,15,17,27],[1,2,3,6,
13,15,28],[1,2,13,16,18,29],[1,2,3,7,16,17,30],[1,3,19,31],[1,2,4,8,32],[1,2,
4,7,33],[1,2,4,6,34],[1,3,4,12,35],[1,3,4,10,36],[1,3,4,11,37],[1,3,4,9,38],[
1,2,4,5,39],[1,2,5,6,7,8,24,40],[1,2,3,5,9,10,11,12,14,15,17,23,27,41],[1,2,5,
18,22,42],[1,2,5,16,25,43],[1,2,5,13,21,44],[1,2,3,5,13,14,15,16,17,21,23,25,
45],[1,2,3,5,14,15,16,17,18,22,23,25,46],[1,2,3,5,6,7,8,13,14,15,17,21,23,24,
28,47],[1,2,3,5,6,7,8,14,15,16,17,23,24,25,30,48],[1,2,3,5,13,14,15,17,18,21,
22,23,49],[1,2,5,6,7,8,13,18,21,22,24,50],[1,2,5,13,16,18,21,22,25,29,51],[1,
2,5,6,7,8,13,16,21,24,25,52],[1,2,5,6,7,8,16,18,22,24,25,53],[1,2,3,5,6,7,8,
14,15,17,18,22,23,24,26,54],[1,2,3,4,7,16,17,20,30,33,55],[1,2,3,4,6,13,15,20,
28,34,56],[1,2,3,4,8,14,18,20,26,32,57],[1,2,3,5,6,7,8,13,14,15,16,17,18,21,
22,23,24,25,28,29,44,45,47,49,50,51,52,58],[1,2,3,5,6,7,8,9,10,11,12,13,14,15,
16,17,18,21,22,23,24,25,26,27,28,30,41,45,46,47,48,49,54,59],[1,2,3,5,6,7,8,
13,14,15,16,17,18,21,22,23,24,25,26,28,30,40,47,48,50,52,53,54,60],[1,2,3,5,6,
7,8,13,14,15,16,17,18,21,22,23,24,25,26,29,42,46,49,50,51,53,54,61],[1,2,3,5,
6,7,8,13,14,15,16,17,18,21,22,23,24,25,29,30,43,45,46,48,51,52,53,62],[1,2,4,
5,6,7,8,24,32,33,34,39,40,63],[1,2,4,5,13,21,39,44,64],[1,2,3,4,5,9,10,11,12,
14,15,17,23,27,35,36,37,38,39,41,65],[1,2,4,5,18,22,39,42,66],[1,2,4,5,16,25,
39,43,67],[1,3,4,9,19,20,31,38,68],[1,3,4,12,19,20,31,35,69],[1,3,4,10,19,20,
31,36,70],[1,3,4,11,19,20,31,37,71],[1,2,3,5,6,7,8,9,10,11,12,13,14,15,16,17,
18,21,22,23,24,25,26,27,28,29,30,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,
58,59,60,61,62,72],[1,2,5,6,7,8,19,24,40,73],[1,2,3,4,5,6,7,8,13,14,15,16,17,
18,20,21,22,23,24,25,26,28,30,32,33,34,39,40,47,48,50,52,53,54,55,56,57,60,63,
74],[1,2,3,5,6,7,8,13,14,15,16,17,18,19,21,22,23,24,25,26,28,30,31,40,47,48,
50,52,53,54,60,73,75],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,21,22,23,
24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,
51,52,53,54,58,59,60,61,62,63,64,65,66,67,72,76],[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]],
0,[[1],[1,1],[1,1],[1,1],[1,3,1],[1,3,1],[1,3,1],[1,3,1],[1,3,1],[1,3,1],[1,3,
1],[1,3,1],[1,1,1],[1,1,2,1],[1,1,2,1],[1,1,1],[1,1,2,1],[1,1,1],[1,1],[1,3,1,
1],[1,3,1,2,1],[1,3,1,2,1],[1,3,4,1,2,2,2,1],[1,7,1,2,2,2,1],[1,3,1,2,1],[1,3,
2,1,1,1,1],[1,1,6,1,1,1,1,1,1,1,1],[1,3,2,1,1,1,1],[1,1,1,1,1,1],[1,3,2,1,1,1,
1],[1,5,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,
4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,15,5,10,10,10,15,1],[1,3,12,1,4,4,4,4,6,6,6,
3,12,1],[1,3,1,6,3,1],[1,3,1,6,3,1],[1,3,1,6,3,1],[1,3,4,1,2,2,2,2,2,1,1,1,
1],[1,3,4,1,2,2,2,2,2,1,1,1,1],[1,7,4,1,2,2,2,2,2,2,2,1,1,1,4,1],[1,7,4,1,2,2,
2,2,2,2,2,1,1,1,4,1],[1,3,4,1,2,2,2,2,2,1,1,1,1],[1,7,1,2,2,2,2,2,1,1,1,1],[1,
3,1,2,2,2,1,1,1,4,1],[1,7,1,2,2,2,2,2,1,1,1,1],[1,7,1,2,2,2,2,2,1,1,1,1],[1,7,
4,1,2,2,2,2,2,2,2,1,1,1,4,1],[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],[1,7,4,1,2,2,2,6,2,2,2,2,2,3,1,1,1,1,4,4,1,1,1,1,1,1,1,
1],[1,7,12,1,2,2,2,4,4,4,4,2,6,6,2,6,2,1,1,3,1,1,4,12,4,4,1,1,1,1,1,1,1,1],[1,
15,4,5,10,10,10,2,2,2,2,2,2,1,1,1,15,1,4,4,4,1,1,1,1,1,1,1,1],[1,7,4,1,2,2,2,
2,2,2,2,2,6,1,3,1,1,1,4,4,1,1,1,1,1,1,1,1],[1,7,4,1,2,2,2,2,2,2,6,2,2,1,1,1,1,
3,4,4,1,1,1,1,1,1,1,1],[1,15,16,5,10,10,10,15,4,4,4,8,1,1],[1,3,16,1,6,3,4,1,
1],[1,3,12,16,1,4,4,4,4,6,6,6,3,12,4,4,4,4,4,1,1],[1,3,16,1,6,3,4,1,1],[1,3,
16,1,6,3,4,1,1],[1,15,10,5,6,10,6,5,1],[1,15,10,5,6,10,6,5,1],[1,15,10,5,6,10,
6,5,1],[1,15,10,5,6,10,6,5,1],[1,15,12,5,10,10,10,4,4,4,4,6,6,6,6,6,6,3,3,3,
15,3,12,12,12,12,12,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1],[1,15,5,10,10,
10,16,15,1,1],[1,15,12,16,5,10,10,10,6,6,6,6,6,6,16,3,3,3,15,3,12,12,12,4,4,4,
8,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,15,20,5,10,10,10,10,10,10,10,10,10,16,5,5,5,
15,5,20,20,20,16,1,5,5,5,5,5,5,5,1,1],[1,15,12,64,5,10,10,10,4,4,4,4,6,6,6,6,
6,6,3,3,3,15,3,12,12,12,12,12,16,16,16,16,16,16,16,32,1,1,1,1,1,3,3,3,3,3,3,3,
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30,30,30,96,160,15,15,15,15,15,60,60,60,60,60,96,40,40,40,80,80,80,80,80,1,5,
5,5,5,15,15,15,15,15,15,15,15,15,15,40,40,40,15,15,15,15,15,10,20,20,20,20,16,
16,16,16,5,6,10,6,5,1]],
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[( 2, 7, 8)( 3, 9,21)( 5,17,14)( 6,16,15)(10,12,19)(13,20,18),( 1, 2, 5,18,15)
( 3,17, 8,20, 7)( 6,13,12,21,10)( 9,16,19,11,14)],
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LIBTOM( "2^4:A5`",
[[1],[1,2],[1,3],[1,4],[1,5],[1,3,6],[1,2,3,7],[1,2,3,8],[1,2,4,9],[1,2,10],[
1,4,11],[1,3,12],[1,3,4,13],[1,14],[1,3,5,15],[1,2,5,16],[1,4,5,17],[1,2,3,6,
8,18],[1,2,4,9,11,19],[1,2,10,20],[1,2,3,6,7,8,21],[1,2,3,8,10,22],[1,2,3,4,8,
9,13,23],[1,2,3,4,8,9,10,24],[1,2,4,9,10,25],[1,2,3,8,12,26],[1,2,4,9,10,27],[
1,2,3,4,8,9,10,28],[1,2,3,4,7,12,13,29],[1,3,4,6,12,13,30],[1,4,14,31],[1,3,5,
6,32],[1,4,5,11,33],[1,2,3,5,7,15,16,34],[1,3,5,12,15,35],[1,3,4,5,13,15,17,
36],[1,2,3,6,7,8,18,21,37],[1,2,3,6,8,12,18,26,38],[1,2,3,4,6,8,9,10,13,18,22,
23,24,28,39],[1,2,3,4,6,7,8,9,12,13,21,23,26,29,30,40],[1,2,3,4,8,9,10,11,13,
19,23,24,25,27,28,41],[1,2,3,6,7,8,10,12,21,22,26,42],[1,2,3,4,8,9,10,20,22,
24,25,27,28,43],[1,2,3,5,6,7,8,15,21,32,44],[1,2,3,5,6,8,16,18,32,45],[1,3,4,
5,6,12,13,17,30,32,46],[1,2,3,4,5,7,12,13,15,16,17,29,34,35,36,47],[1,2,4,5,9,
11,16,19,33,48],[1,2,5,10,16,20,49],[1,2,3,4,6,8,9,10,11,13,18,19,20,22,23,24,
25,27,28,39,41,43,50],[1,2,3,4,6,7,8,9,10,12,13,18,21,22,23,24,26,28,29,30,37,
38,39,40,42,51],[1,2,3,4,6,8,9,10,12,13,18,22,23,24,26,28,38,39,52],[1,2,3,5,
6,7,8,15,16,18,21,32,34,37,44,45,53],[1,2,3,4,5,6,7,8,9,12,13,15,17,21,23,26,
29,30,32,36,40,44,46,54],[1,2,3,5,6,7,8,10,12,15,21,22,26,32,35,42,44,55],[1,
4,5,11,14,17,31,33,56],[1,2,3,4,6,7,8,9,10,11,12,13,18,19,20,21,22,23,24,25,
26,27,28,29,30,37,38,39,40,41,42,43,50,51,52,57],[1,2,3,6,7,8,14,18,21,37,
58],[1,2,3,4,5,6,8,9,10,11,13,16,18,19,20,22,23,24,25,27,28,32,33,39,41,43,45,
48,49,50,59],[1,2,3,4,5,6,7,8,9,10,12,13,15,16,17,18,21,22,23,24,26,28,29,30,
32,34,35,36,37,38,39,40,42,44,45,46,47,51,53,54,55,60],[1,2,3,4,6,7,8,9,10,12,
13,14,18,21,22,23,24,26,28,29,30,31,37,38,39,40,42,51,58,61],[1,2,3,4,5,6,7,8,
9,10,11,12,13,15,16,18,19,20,21,22,23,24,25,26,27,28,29,30,32,33,34,37,38,39,
40,41,42,43,44,45,48,49,50,51,52,53,57,59,62],[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]],
0,[[1],[1,1],[1,1],[1,1],[1,1],[1,3,1],[1,2,1,1],[1,1,2,1],[1,1,2,1],[1,1,1],[
1,3,1],[1,1,1],[1,1,2,1],[1,1],[1,1,1,1],[1,1,1,1],[1,3,1,1],[1,1,6,4,3,1],[1,
1,6,3,4,1],[1,1,3,1],[1,3,4,1,3,3,1],[1,1,2,1,2,1],[1,1,2,4,1,2,4,1],[1,1,2,2,
1,1,1,1],[1,1,4,2,1,1],[1,1,2,1,2,1],[1,1,2,1,2,1],[1,1,2,2,1,1,1,1],[1,2,1,2,
1,1,1,1],[1,3,2,1,1,1,1],[1,5,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,2,1,1,1,1,2,1],[
1,1,1,3,1,1],[1,1,6,1,3,1,2,1],[1,5,10,10,10,15,5,10,1],[1,1,6,4,3,4,1,2,1],[
1,1,6,4,4,3,2,2,4,1,1,1,2,2,1],[1,3,4,4,1,3,3,2,2,4,1,1,1,2,2,1],[1,1,2,8,1,4,
2,4,4,1,1,1,2,1,1,1],[1,3,4,1,3,3,2,2,1,1,1,1],[1,1,2,4,1,2,4,1,1,1,1,2,1,1],[
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6,6,8,12,1,2,2,3,3,6,6,6,6,3,6,6,1],[1,5,10,4,10,10,15,2,2,4,4,5,10,1,1,2,2,2,
4,4,1,1,1,2,2,1],[1,1,6,4,4,3,2,2,8,4,1,1,1,2,4,2,2,1,1],[1,5,10,4,10,10,15,4,
8,5,10,1,4,1,1,2,1],[1,3,4,12,4,1,3,3,6,6,12,4,8,1,3,3,6,6,1,4,3,1,2,1],[1,3,
4,4,1,3,3,6,6,4,1,3,3,1,4,3,1,1],[1,15,10,5,6,10,6,5,1],[1,5,10,12,10,10,15,6,
6,8,12,12,5,2,2,10,3,3,6,6,6,6,6,12,12,1,3,3,6,6,6,6,1,3,3,1],[1,5,10,10,10,
15,16,5,10,1,1],[1,1,6,12,16,4,3,6,6,8,12,16,1,2,2,3,3,6,6,6,6,4,8,3,6,6,4,8,
8,1,1],[1,5,10,12,4,10,10,15,6,6,12,12,4,8,8,5,10,3,3,6,6,6,12,12,1,4,4,4,1,3,
3,6,6,1,2,2,4,3,1,1,1,1],[1,5,10,20,10,10,15,10,10,20,20,16,5,10,5,5,10,10,10,
20,20,16,1,5,5,10,10,5,1,1],[1,5,10,12,16,10,10,15,6,6,8,12,12,16,32,5,2,2,10,
3,3,6,6,6,6,6,12,12,4,8,16,1,3,3,6,6,6,6,4,8,8,8,1,3,3,4,1,1,1],[1,5,10,60,40,
10,10,15,30,30,40,60,60,96,40,80,80,5,10,10,10,15,15,30,30,30,30,30,60,60,96,
10,40,40,40,40,1,15,15,30,30,30,30,10,20,20,40,40,40,5,15,15,10,10,10,16,5,6,
5,10,6,5,1]],
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160,192,960],
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51,50,50,40,40,31,60,48,47,47,47,63,57,57,51,50,51,50,60,53,54,47,48,49,62,57,
57,60,60,60,56,62,61,62,60,61,62,63],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,5,1,1,2,1,1,1,2,2,1,1,2,3,3,14,6,11,1,5,5,1,
2,2,3,2,3,2,6,6,32,15,11,20,2,8,8,6,32,32,56,18,37,50,44,58,50,63],
[( 1, 2)( 4, 5)( 6, 7)( 9,10)(12,15)(13,16),( 2, 3,13, 6,10)( 4,12, 9, 5,14)
( 7,16,15,11, 8)],
[[[[]]],[[[1,1,2,1],[2,2,3,2,1,1,2,-1]]],[[[1,1,2,1],[3,1,2,1],[3,1,4,1,3,1,4,
1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,1]]],[[[2,1,1,1],[3,2,2,-1,1,
1,2,2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,2,2,2,3,1]],[[1,1,2,1],[3,1,2,1],[3,1,4,
1,3,1,4,1]]],[[[1,1,2,1],[3,1,2,1],[3,1,4,1,3,1,4,1]],[[1,1,2,1],[3,2,1,1,2,
1]]],[[[1,1,2,1],[2,2,3,2,1,1,2,-1]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,4,1,3,
1]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2]],[[2,1,1,1],[1,1,2,-1,3,-2]]],[[[1,1,
2,1],[1,1,2,-1],[4,1,2,-1,3,1,4,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,
3,2,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1]]],[[[1,1,2,1],[1,1,3,-1,2,1,1,1,
2,-1,3,-1]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-1,3,1]],[[1,1,2,1],[3,1,2,1],[3,1,4,
1,3,1,4,1]]],[[[2,1,1,1],[3,2,2,-1,1,1,2,-2]]],[[[1,1,2,1],[1,1,2,-2,1,1,2,-1,
3,2]]],[[[2,2,1,1,2,-2,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,
1]],[[2,1,1,1],[3,1,2,1,3,-1,1,1,2,1]]],[[[1,1,2,1],[3,1,2,1],[3,1,4,1,3,1,4,
1]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,2,3,2,1,1,2,
-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-2,3,-1]],[[1,1,2,1],[3,2,1,1,2,
1]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1,2,2,3,2,2,1]],[[1,
1,2,1],[2,1,1,1],[4,1,3,-1,2,1,4,-1,3,1]]],[[[1,1,2,1],[1,1,2,-1,3,-3,2,1,1,
1]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,2,3,2,1,1,2,
-1]]],[[[1,1,2,1],[2,1,1,1,2,2,3,2,2,1]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,4,1,3,
1]]],[[[1,1,2,1],[2,1,1,1],[2,2,3,2,4,2]],[[2,2],[3,1,2,1,1,1,3,1]],[[1,1,2,
1],[3,2,1,1,2,-1,3,1,2,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1]],[[2,1,1,
1,2,-1,1,1,2,-2,1,1,2,1]],[[1,1,2,1],[3,2,1,1,2,1]]],[[[2,1,1,1],[1,1,2,2,3,
-2,2,-1]],[[1,1,2,1],[3,1,1,1,2,-1,3,1,2,1,3,1]]],[[[1,1,2,1],[1,1,2,-1,3,-3,
2,1]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,4,1,3,1]]],[[[1,1,2,1],[1,1,2,-1],[4,1,2,
-1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1,2,-1,3,2,2,1,3,1]]],[[[1,1,2,1],[2,1,1,
1],[3,1,4,-1,3,2,4,-1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2]]],[[[1,1,2,1],[2,2,
1,1,2,-1,3,-2]],[[1,1,2,1],[3,2,1,1,2,-1,3,1,2,1]]],[[[1,1,2,1],[3,2,1,1,2,-1,
3,1,2,1]],[[2,2,1,1,2,-1,1,1,2,1]]],[[[2,1,1,1],[3,2,2,-1,1,1,2,-2]],[[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],[3,1,1,
1,2,-1,3,1,2,1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,1,2,1]],[[2,1,1,1,2,1,1,1,2,-1,
1,1,2,-1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-2]],[[2,2,1,1,2,-2,1,1,2,
-1]]],[[[1,1,2,1],[1,1,2,-1,3,-3,2,1]],[[2,1,1,1],[3,2,2,-1,1,1,2,2]]],[[[1,1,
2,1],[3,1,2,1],[3,1,4,1,3,1,4,1]],[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1,2,1]],[[2,
1,1,1,2,-1]]],[[[1,1,2,1],[3,1,2,1],[3,1,4,1,3,1,4,1]],[[1,1,2,1],[3,2,1,1,2,
1]],[[1,1,2,1],[2,2,3,2,1,1,2,-1]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,4,1,3,
1]]],[[[1,1,2,1],[1,1,2,-1,3,-3,2,1]],[[1,1,2,1],[2,1,3,2]]],[[[1,1,2,1],[2,1,
1,1],[4,1,2,2,3,2,4,1]],[[2,2],[3,1,2,1,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,
-1,3,1,4,1,3,-1]]],[[[1,1,2,1],[3,2,1,1,2,1]],[[2,2,1,1,2,-1,1,1,2,1]],[[2,
2],[3,1,2,1,1,1,3,1]]],[[[1,1,2,1],[2,1,1,1,2,-1,3,2,2,1,3,1]],[[2,2],[3,1,2,
1,1,1,3,1]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1,2,2,3,2,2,
1]],[[1,1,2,1],[2,1,3,2]]],[[[1,1,2,1],[1,1,2,-1],[4,1,2,-1,3,1,4,1,3,1]],[[1,
1,2,-1,1,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1,2,-1,3,2,2,1,3,1]]],[[[1,1,2,1],[3,1,
1,1,2,-1,3,1,2,1]],[[1,1,2,2,1,1,2,-2]]],[[[2,-2,1,1,2,-1,1,1,2,1]],[[2,2,1,1,
2,-1,1,1]]],[[[2,-2,1,1,2,1,1,1,2,-1]],[[1,1]]],[[[2,2,1,1,2,-2,1,1,2,-1]],[[
1,1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,1,2,1]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,
-1]],[[1,1,2,1],[3,2,1,1,2,1]]],[[[1,1,2,1],[1,1,3,-1,2,1,1,1,3,-2]],[[1,1,2,
1],[1,1,2,-2,3,-2]]],[[[2,1,1,1],[1,1,2,2,3,-2,2,-1]],[[1,1,2,-1,1,1,2,1,1,
1]],[[1,1,2,1],[3,1,1,1,2,-1,3,1,2,1,3,1]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,
-1]]],[[[2,2,1,1,2,-1,1,1,2,1]],[[2,1,1,1],[1,1,2,-1,3,-2]],[[2,2],[3,1,2,1,1,
1,3,1]]],[[[2,2],[3,1,2,1,1,1,3,1]],[[2,1,1,1,2,2,1,1]]],[[[2,2,1,1,2,-2,1,1,
2,-1]],[[2,-2,1,1,2,2,1,1]]],[[[2,-2,1,1,2,1,1,1,2,-1]],[[1,1,2,2,1,1,2,
-2]],[[1,1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,1,2,1]],[[1,1,2,1],[2,1,3,2]]],[[[1,
1]],[[1,1,2,1,1,1,2,1]]],[[[2,2,1,1,2,-1,1,1,2,1]],[[2,1,1,1,2,2,1,1]],[[1,1,
2,-1,1,1,2,1,1,1]]],[[[2,1,1,1,2,1,1,1,2,-1]],[[2,2,1,1]]],[[[2,1,1,1,2,-1,1,
1,2,-2]],[[1,1,2,1]],[[2,2],[3,1,2,1,1,1,3,1]]],[[[2,2,1,1,2,-1,1,1,2,1]],[[1,
1,2,1],[2,1,3,2]],[[1,1]]],[[[2,-1,1,1,2,1]],[[1,1,2,-2]]],[[[2,2,1,1,2,
-1]],[[1,1,2,1]]],[[[1,1]],[[2,1]]]]);
AFLT( "2^4:A6","M22",[1,2,2,3,3,4,5,6,4,6,8,7,6,7,9,8,10,11,12,12,15,14,17,19,
16,20,21,22,18,16,23,25,21,24,23,22,26,27,29,35,31,30,33,37,32,33,32,36,34,38,
39,40,41,50,45,47,42,52,48,43,49,44,46,51,53,54,49,44,55,58,67,60,61,59,63,64,
66,60,65,64,68,69,78,72,73,76,74,71,77,75,80,70,79,81,84,86,85,90,91,88,87,92,
93,89,101,101,98,100,99,102,104,103,107,108,106,105,110,112,113,115,118,116,
119,122,123,125,134,133,131,132,136,139,138,142,143,144,149,148,154] );
AFLT( "2^4:A6","2^4:A7",[1,2,3,5,4,6,6,7,8,9,10,8,11,9,10,12,13,15,16,17,19,
21,22,23,20,23,26,27,25,24,29,30,28,29,32,31,33,34,36,39,35,38,43,47,38,41,45,
46,45,50,51,53,53,52,56,54,55,58,54,55,59,57,56,60,61,62,64,63,65,71,75,74,73,
72,77,82,76,81,80,80,84,87,91,86,88,90,89,85,90,93,92,94,95,97,98,100,104,113,
108,109,105,116,117,109,119,121,122,120,122,124,123,127,125,128,126,129,131,
132,135,140,139,136,143,147,148,150,158,159,162,155,165,171,172,175,176,179,
181,180,188] );
AFLT( "2^4:A6","U4(3)",[1,2,2,5,4,7,9,8,8,7,10,7,9,8,11,11,12,14,17,18,23,23,
20,24,22,25,24,26,21,22,26,28,25,27,27,27,37,40,41,48,43,44,41,53,47,46,45,51,
47,56,57,58,59,67,62,61,65,68,63,66,61,65,64,60,69,70,63,66,75,90,88,93,93,90,
93,96,98,95,97,94,101,127,134,133,131,128,130,132,129,130,135,132,136,152,147,
155,153,161,159,162,156,159,166,163,189,186,188,192,193,195,196,194,199,200,
198,197,203,208,228,233,235,234,237,258,260,263,284,282,280,285,300,315,314,
323,324,333,350,348,371] );
AFLT( "2^4:A6","U4(3)",[1,2,2,6,4,7,8,9,9,7,10,7,8,9,11,11,12,15,16,18,22,22,
20,24,23,25,24,26,21,23,26,28,25,27,27,27,36,40,42,49,46,45,42,54,47,43,44,50,
47,57,56,58,59,67,61,62,65,68,64,66,62,65,63,60,69,70,64,66,74,91,87,92,92,91,
92,97,95,98,96,94,102,127,134,132,130,128,131,133,129,131,135,133,136,151,146,
156,154,160,158,162,155,158,165,163,190,187,191,192,193,194,196,195,199,200,
197,198,204,209,229,234,236,233,237,258,259,262,283,281,279,285,301,317,316,
322,324,332,351,349,372] );
AFLT( "2^4:A7","M23",[1,2,2,3,3,4,4,5,5,6,5,6,7,9,9,8,8,10,11,13,12,14,16,13,
15,17,18,17,19,20,19,18,21,22,24,25,24,26,28,28,26,25,27,30,27,30,29,29,31,33,
34,36,35,37,40,38,41,42,39,43,44,45,41,39,46,48,49,51,51,54,52,53,56,57,55,58,
59,58,61,60,60,56,59,61,63,64,66,68,69,67,71,73,70,65,72,76,76,75,78,80,79,82,
82,83,81,92,92,87,89,86,84,90,91,86,93,88,85,95,99,98,100,100,102,103,105,108,
104,106,107,112,112,114,120,119,122,117,116,123,124,118,126,123,125,127,128,
129,131,133,132,136,137,140,139,144,145,146,143,152,150,147,154,151,148,153,
158,157,162,164,165,163,167,168,172,170,174,173,171,176,178,183,184,186,187,
190,191,194,193,197,201] );
AFLT( "2^4:A7","McL",[1,2,2,4,4,5,5,5,5,6,5,6,8,10,10,11,11,12,13,14,13,15,17,
14,16,17,18,17,18,19,18,18,23,26,29,28,29,30,33,33,28,30,28,34,30,34,32,32,36,
39,38,41,40,44,43,45,43,46,44,42,48,47,43,44,50,56,57,64,64,61,63,63,66,66,59,
65,66,65,70,67,66,67,67,70,85,86,84,87,88,89,90,92,88,85,91,100,100,96,104,
105,106,108,108,107,106,116,116,110,118,111,113,119,117,111,120,110,114,132,
134,137,134,136,139,140,145,144,141,142,143,154,154,156,170,169,167,171,172,
176,175,172,177,176,178,193,198,196,201,203,202,207,214,218,217,222,225,220,
221,233,228,226,230,224,227,231,249,248,250,262,259,258,266,263,277,275,272,
274,276,285,286,307,309,316,319,325,333,340,338,350,363] );
AFLT( "2^4:A7","McL",[1,2,2,4,4,5,5,5,5,6,5,6,8,10,10,11,11,12,14,13,14,15,17,
13,16,17,18,17,18,19,18,18,23,26,28,29,28,30,33,33,29,30,29,34,30,34,32,32,36,
38,39,41,40,45,43,44,43,46,45,42,48,47,43,45,50,56,57,63,63,61,64,64,65,65,60,
66,65,66,70,67,65,67,67,70,86,85,84,88,87,89,90,92,87,86,91,100,100,97,104,
106,105,107,107,108,105,117,117,111,118,110,113,119,116,110,120,111,115,133,
135,137,135,136,139,141,145,143,140,142,144,154,154,155,169,170,166,172,171,
175,176,171,177,175,178,192,197,196,201,202,203,208,214,219,216,221,225,220,
222,232,229,227,231,223,226,230,248,249,251,261,260,258,265,264,277,276,273,
274,275,285,287,308,310,316,320,326,332,339,337,349,364] );
AFLT( "2^4:A7","2^4:A8",[1,2,5,6,7,8,25,26,27,33,31,37,38,44,43,42,41,46,47,
88,89,162,143,90,161,156,123,157,124,166,131,132,167,168,172,169,170,172,180,
181,173,171,179,188,174,187,189,190,192,194,224,259,260,338,409,335,420,434,
339,433,439,440,421,340,441,444,445,490,491,496,471,489,463,464,494,466,465,
467,502,466,470,469,468,501,572,573,681,832,835,725,745,852,836,625,849,859,
858,862,863,864,870,872,873,871,869,928,927,915,884,920,932,941,921,919,935,
916,933,944,948,949,950,949,954,1076,1219,1206,1107,1173,1205,1239,1238,1243,
1275,1279,1258,1251,1257,1298,1297,1256,1304,1299,1303,1307,1309,1310,1446,
1453,1455,1457,1460,1462,1461,1472,1467,1473,1471,1479,1516,1521,1530,1500,
1528,1531,1592,1594,1599,1603,1605,1602,1607,1606,1656,1654,1624,1617,1655,
1681,1682,1709,1710,1717,1718,1738,1742,1749,1743,1757,1765] );
AFLT( "2^4:A8","M24",[1,2,2,3,2,4,4,10,9,12,13,14,9,11,14,10,6,11,14,12,12,7,
13,8,10,11,11,12,11,14,11,15,16,16,15,17,16,18,20,21,20,20,23,23,23,25,26,26,
32,35,34,42,38,39,40,45,31,27,38,36,39,29,28,41,44,42,40,30,45,45,36,37,27,33,
37,43,29,44,44,36,35,42,31,37,43,32,31,33,32,33,31,33,44,37,36,43,43,44,37,46,
48,56,49,47,49,56,46,52,58,57,49,55,59,47,56,52,48,53,59,50,58,51,55,52,54,53,
57,58,55,56,52,55,64,66,67,64,65,68,69,71,70,64,63,65,60,61,62,63,62,60,66,70,
67,71,68,70,70,65,70,71,73,72,72,74,74,75,76,78,86,90,86,90,90,91,83,91,82,86,
91,92,92,93,100,97,96,97,96,96,102,102,104,106,107,108,110,114,117,115,119,
123,120,116,112,118,111,119,120,123,109,111,112,121,122,113,122,121,112,113,
122,113,117,110,121,109,122,122,121,126,132,127,136,124,128,135,128,130,132,
136,125,129,137,131,133,130,124,136,125,131,125,134,137,136,138,142,138,139,
139,140,141,144,145,143,150,146,150,153,147,148,149,146,145,152,151,150,146,
203,209,199,204,214,198,202,213,210,206,210,212,209,214,205,211,210,200,207,
201,221,218,209,212,221,218,210,214,215,217,216,218,218,213,212,211,192,205,
193,194,219,214,203,205,192,220,195,196,202,208,215,193,216,204,221,197,218,
195,206,191,196,197,208,221,221,175,171,182,158,176,187,159,172,183,166,184,
181,173,168,170,167,157,161,182,162,164,160,179,180,169,188,189,190,166,177,
181,183,165,156,167,178,168,169,187,188,159,155,162,186,163,157,158,154,161,
185,160,155,176,187,154,175,178,165,177,190,176,164,175,154,188,189,177,166,
170,174,179,180,190,181,178,189,188,187,188,189,189,222,225,223,225,228,227,
223,224,229,226,227,228,231,230,232,233,236,235,234,237,240,240,245,247,252,
258,261,263,261,254,260,259,258,262,256,266,255,252,262,259,263,263,260,262,
267,267,262,263,267,278,279,275,282,276,277,283,284,279,282,283,279,281,275,
281,278,283,276,281,284,284,288,289,290,292,291,290,292,298,294,293,293,301,
300,304,309,318,323,314,312,325,318,322,313,316,310,319,326,315,317,316,324,
311,322,325,312,321,320,314,313,309,325,310,316,310,317,315,326,325,307,306,
305,306,307,308,305,327,352,351,329,360,330,331,328,353,348,333,354,350,332,
349,334,360,350,347,360,361,349,368,368,350,335,346,327,335,361,358,356,329,
328,357,355,331,334,359,368,343,344,348,336,347,342,337,339,340,363,332,345,
364,366,341,349,338,340,333,339,343,362,365,330,350,344,333,342,332,341,355,
357,356,358,359,367,368,368,361,369,370,372,371,372,373,374,386,378,379,379,
376,387,375,394,378,388,377,389,394,379,381,378,382,385,388,381,379,384,383,
393,383,385,388,387,390,386,382,394,391,389,384,392,385,380,390,391,394,394,
395,395,397,401,396,400,398,398,396,399,403,402,399,403,406,407,405,405,405,
404,430,431,433,429,432,431,432,417,416,424,422,423,425,419,426,418,415,414,
421,420,427,419,416,421,418,417,420,419,418,428,434,435,437,436,439,438,440,
438,437,436,438,408,409,410,411,412,413,411,408,441,503,504,506,505,484,482,
483,481,493,490,491,492,493,489,495,489,488,493,488,496,494,490,491,490,487,
491,492,489,486,488,492,485,471,472,473,476,480,474,473,475,476,474,476,479,
475,474,477,475,473,478,469,468,452,467,450,451,466,470,453,447,443,457,460,
446,461,445,459,462,449,463,458,444,464,452,457,455,465,451,454,458,462,453,
455,465,460,450,448,456,464,465,454,455,502,498,497,500,499,497,499,497,499,
501,510,508,509,507,513,512,442,514,515,511,516,518,518,522,522,517,528,530,
531,529,533,533,531,529,537,543,543,543,548,548,547,546,549,538,549,539,546,
551,560,554,575,555,557,556,564,574,557,559,564,575,556,571,552,565,555,572,
578,553,566,573,558,575,574,555,557,559,554,565,558,574,576,564,576,576,585,
586,583,584,590,586,590,590,582,579,581,592,593,595,594,596,598,597,596,597,
599,600,601,607,608,607,609,613,614,614,616,619,618,620,622,621,622,623,629,
630,633,634,635,636,631,631,632,631,624,625,632,635,633,636,637,625,627,639,
628,638,626,626,627,634,628,637,632,647,650,645,646,648,651,646,649,652,650,
651,651,650,641,640,643,642,644,642,643,658,658,659,655,656,653,654,654,675,
674,672,673,676,673,672,663,662,669,663,671,671,662,670,668,664,666,671,670,
667,665,677,684,683,695,686,696,689,694,690,697,687,692,688,685,691,693,697,
695,700,696,698,699,700,694,678,682,680,679,681,698,699,700,661,660,661,660,
701,701,715,710,713,728,729,724,730,712,727,721,714,722,726,711,720,725,723,
733,712,718,717,711,716,714,719,732,716,731,717,719,718,733,703,706,705,704,
702,708,709,707,734,743,748,744,747,745,742,748,749,746,747,749,741,740,749,
735,736,739,737,738,739,737,768,769,765,766,767,766,767,765,767,764,756,755,
753,752,750,751,754,752,751,761,758,757,762,758,763,762,759,757,762,760,770,
657,794,793,792,791,824,823,821,822,802,800,802,799,801,802,803,799,801,801,
800,797,798,800,799,796,795,781,780,779,777,778,776,773,775,774,782,771,772,
785,784,783,783,784,783,784,786,819,816,817,818,820,812,811,810,806,804,807,
805,808,809,789,788,787,790,815,813,814,825,826,836,836,835,828,840,843,845,
850,853,847,846,851,847,852,854,853,851,851,854,853,863,864,865,863,865,859,
860,859,860,866,872,870,873,869,867,870,872,875,880,874,879,874,879,882,887,
884,885,902,903,901,910,897,890,900,890,899,888,891,889,898,900,900,907,908,
906,912,913,914,915,920,921,928,929,929,932,933,936,935,934,936,937,937,938,
939,940,941,943,944,942,945,946,951,952,954,953,949,947,948,948,950,969,970,
971,973,972,976,974,975,977,978,965,966,964,963,967,966,967,968,979,980,981,
988,961,960,959,955,956,957,961,962,960,962,958,962,986,984,985,983,987,983,
984,982,982,1008,1006,1007,1010,1005,1009,1010,1009,1000,995,999,996,998,997,
1001,995,1004,1004,996,1003,1002,1004,989,990,994,992,991,993,994,993,1023,
1022,1021,1024,1026,1027,1028,1029,1025,1019,1020,1012,1011,1016,1013,1015,
1014,1031,1030,1017,1017,1018,1032,1035,1034,1033,1046,1041,1039,1037,1038,
1040,1043,1044,1045,1042,1050,1048,1047,1049,1051,1036,1052,1053,1053,1057,
1064,1066,1068,1067,1068,1070,1071,1070,1073,1075,1077,1079,1079,1080,1087,
1088,1083,1086,1085,1084,1085,1108,1107,1130,1129,1099,1096,1094,1095,1091,
1100,1100,1099,1096,1125,1128,1127,1124,1123,1122,1126,1128,1126,1123,1122,
1131,1110,1109,1110,1112,1111,1109,1114,1113,1116,1117,1121,1118,1118,1105,
1106,1103,1101,1104,1140,1138,1132,1139,1141,1138,1137,1137,1156,1145,1146,
1152,1143,1143,1144,1154,1158,1160,1157,1166,1173,1174,1177,1176,1175,1205,
1206,1199,1200,1198,1194,1192,1191,1196,1193,1195,1196,1195,1180,1178,1179,
1181,1190,1189,1185,1183,1184,1182,1182,1183,1188,1202,1201,1197,1207,1187,
1186,1203,1204,1212,1213,1214,1215,1216,1219,1217,1218,1211,1210,1208,1209,
1220,1224,1224,1229,1225,1226,1230,1238,1243,1242,1241,1240,1239,1244,1246,
1245,1247,1252,1251,1252,1254,1254,1255,1256,1259,1265,1294,1296,1277,1280,
1280,1300,1301,1281,1283,1264,1263,1273,1272,1285,1284,1292,1293,1289,1290,
1288,1287,1290,1287,1274,1267,1261,1260,1268,1269,1276,1275,1297,1298,1299,
1271,1270,1307,1306,1303,1304,1305,1302,1311,1310,1313,1316,1317,1322,1323,
1324,1325,1334,1333,1336,1328,1330,1329,1335,1331,1332,1327,1326,1338,1340,
1345,1346,1342,1343,1354,1353,1361,1358,1359,1364,1369,1374,1373,1374,1373,
1368,1376,1363,1378,1379,1385,1386,1382,1381,1384,1387,1388,1390,1392,1393,
1396,1400,1402,1404,1407,1408,1418,1416,1417,1418,1417,1414,1423,1424,1426,
1427,1428,1431,1433,1434,1437,1421,1439,1430,1435,1443,1448,1449,1453,1454,
1457,1464,1465,1463,1461,1460,1462,1459,1467,1469,1468,1470,1483,1487,1481,
1490,1491,1502,1504,1507,1510,1512,1511,1517,1525] );
AFLT( "2^4:A8","L5(2)",[1,2,2,3,3,5,4,7,6,10,11,12,15,10,13,7,8,6,12,10,15,14,
11,9,8,13,15,13,12,15,14,16,17,16,17,18,18,19,20,21,22,21,23,24,23,25,26,26,
27,36,34,44,46,39,40,47,27,32,37,41,39,29,28,38,45,44,40,30,47,47,31,32,42,41,
33,45,43,48,48,41,36,44,32,42,48,37,46,31,46,43,33,29,35,42,43,48,45,48,33,49,
50,56,51,52,56,52,58,50,53,62,57,51,63,56,51,49,58,62,59,60,55,61,57,58,54,53,
55,62,59,63,60,63,67,64,65,73,67,70,71,76,65,74,66,73,68,69,72,72,66,64,68,67,
74,76,75,74,75,75,70,76,78,77,79,77,79,80,81,82,83,85,90,89,87,92,91,84,90,83,
91,93,95,94,98,100,100,99,99,101,96,97,102,103,104,105,106,112,114,107,118,
120,119,108,113,111,115,118,119,120,115,109,110,121,116,110,117,113,116,117,
121,117,114,112,116,109,121,110,117,123,131,127,129,122,124,126,129,131,133,
122,134,130,135,132,125,133,129,124,134,132,134,128,135,130,147,151,150,147,
150,148,149,137,136,138,142,142,139,146,140,141,143,139,138,144,145,139,142,
152,167,176,156,169,171,159,172,166,175,172,172,169,152,160,154,165,182,162,
179,156,174,180,183,157,175,181,184,163,173,164,183,181,165,166,168,160,154,
174,161,178,167,169,168,154,177,157,163,158,159,153,183,155,180,167,164,166,
184,181,170,153,155,158,180,184,185,199,209,213,208,207,214,217,195,215,196,
223,218,200,205,201,190,187,221,194,192,193,210,211,203,185,207,223,198,215,
212,222,188,206,205,186,190,193,213,221,191,208,192,219,197,200,202,207,204,
216,203,214,191,202,213,186,185,220,198,212,214,194,221,187,209,204,215,198,
201,189,211,210,223,212,188,195,220,222,188,187,222,224,229,230,226,227,229,
227,225,231,228,226,230,234,232,233,237,236,235,238,239,240,241,242,243,247,
249,255,252,248,250,246,252,254,247,251,253,260,254,249,255,248,255,250,254,
259,258,260,262,257,264,263,265,267,276,266,271,274,269,277,271,268,265,268,
263,264,271,276,268,272,270,280,279,281,283,282,283,281,289,284,285,286,288,
287,290,292,300,303,294,296,292,304,302,295,297,309,305,308,298,299,309,307,
293,294,304,295,306,301,302,296,304,300,297,297,309,299,298,308,305,310,311,
311,313,310,312,313,323,346,342,329,327,337,339,333,341,334,320,348,351,321,
330,335,351,337,338,356,336,354,339,340,355,314,325,314,323,324,333,328,316,
315,329,345,356,317,335,327,354,355,347,319,326,318,338,320,321,349,331,322,
352,353,331,324,330,332,347,334,336,343,344,351,327,340,334,319,332,321,328,
316,345,315,317,350,356,355,354,358,359,357,360,360,361,366,372,368,367,368,
363,373,364,369,382,377,381,375,370,383,367,371,369,377,374,368,371,370,376,
380,376,377,374,373,372,378,382,371,375,379,383,365,374,362,378,379,382,383,
384,384,386,390,387,391,385,387,385,388,389,392,389,388,395,396,394,394,393,
394,422,421,419,423,420,420,421,410,409,415,406,404,408,413,414,418,407,405,
411,412,416,410,413,418,412,413,418,409,411,417,400,399,398,397,401,402,403,
397,402,402,398,426,427,425,424,428,429,426,424,430,465,467,466,468,473,475,
477,476,478,469,479,480,471,480,484,470,471,470,480,482,481,479,479,469,483,
469,471,478,472,478,470,474,485,489,492,490,494,490,491,492,488,492,491,493,
491,488,486,490,488,487,445,449,433,448,434,440,442,459,453,444,443,441,439,
446,454,456,435,437,457,455,432,447,432,438,452,439,434,436,440,451,453,437,
441,433,452,438,458,450,451,438,436,452,495,462,460,461,460,463,460,463,463,
464,501,502,500,503,497,496,431,498,499,504,505,507,508,510,509,511,513,515,
516,517,521,517,518,521,522,530,527,524,528,532,531,533,534,534,523,529,533,
535,542,546,557,548,556,545,556,549,544,544,543,548,541,539,537,549,557,540,
551,538,550,558,546,557,541,548,543,556,547,545,547,545,553,559,552,560,565,
564,566,572,573,568,571,567,561,563,562,580,581,574,575,577,578,579,579,577,
576,582,583,585,584,585,587,588,590,591,592,595,594,596,598,599,599,597,614,
617,624,622,625,620,615,627,616,613,615,616,613,624,625,626,620,627,623,628,
621,618,619,622,621,619,623,626,627,601,600,605,606,602,600,607,604,603,605,
607,606,607,608,610,611,609,612,611,609,630,630,629,633,634,632,631,632,673,
676,672,675,674,672,675,641,642,646,645,642,641,645,643,638,639,644,645,643,
647,640,649,650,651,668,652,665,653,667,657,666,656,663,662,659,658,660,670,
669,667,671,668,666,665,671,648,654,655,661,664,669,670,671,636,637,636,637,
677,677,680,678,701,697,700,698,699,691,681,682,692,685,683,689,687,688,686,
689,694,692,690,696,679,695,691,693,690,684,679,694,695,696,704,705,709,706,
702,703,707,708,710,715,714,716,713,712,717,720,713,719,720,714,711,718,720,
730,733,731,732,734,732,731,726,727,723,722,723,724,724,724,722,725,729,728,
742,745,743,744,746,744,745,738,737,736,736,739,741,739,735,739,737,740,721,
635,757,756,758,759,784,783,781,782,753,751,754,751,751,752,755,752,754,753,
752,749,747,754,753,750,748,777,778,771,775,776,770,772,773,774,779,780,769,
762,761,760,760,761,761,760,763,766,764,767,768,765,790,791,792,787,785,788,
786,789,793,794,795,796,797,798,799,800,802,801,808,809,806,804,810,811,813,
815,814,821,817,814,818,819,816,818,821,817,822,821,831,830,829,829,831,826,
825,827,825,832,836,837,834,835,837,833,836,842,840,841,843,843,841,838,848,
849,847,863,865,864,871,854,851,862,856,853,855,850,859,852,858,857,867,866,
868,869,874,875,873,876,877,879,881,878,887,884,883,885,886,885,889,889,888,
890,892,893,894,895,896,891,897,904,902,903,905,898,901,900,901,899,915,914,
917,909,910,913,918,912,911,916,921,920,923,922,920,919,919,924,906,908,907,
938,925,926,929,927,928,930,931,926,931,925,932,931,936,935,937,934,933,935,
934,939,939,947,945,944,943,942,943,946,946,951,948,950,949,954,952,957,956,
949,948,956,955,953,956,969,965,964,966,967,964,968,968,977,976,975,978,972,
973,971,974,970,981,982,979,980,961,959,960,958,940,941,963,963,962,988,990,
991,989,992,993,996,997,994,995,986,985,983,984,1001,999,1000,998,1002,987,
1003,1005,1006,1008,1011,1015,1013,1014,1015,1016,1017,1016,1020,1021,1023,
1025,1027,1026,1031,1032,1035,1036,1033,1034,1034,1045,1046,1070,1069,1039,
1040,1041,1042,1038,1037,1039,1037,1044,1068,1063,1064,1065,1063,1062,1067,
1066,1062,1066,1067,1059,1056,1056,1053,1055,1054,1053,1061,1060,1072,1071,
1047,1048,1050,1051,1052,1057,1058,1073,1077,1076,1074,1079,1075,1078,1076,
1078,1085,1087,1088,1083,1091,1091,1090,1092,1098,1099,1097,1100,1103,1102,
1106,1105,1104,1135,1136,1133,1132,1134,1116,1117,1112,1114,1115,1114,1113,
1113,1125,1124,1123,1122,1118,1119,1108,1110,1107,1109,1110,1109,1121,1126,
1127,1130,1131,1128,1129,1111,1120,1141,1144,1143,1142,1147,1146,1145,1148,
1140,1138,1137,1139,1150,1151,1153,1157,1154,1155,1159,1161,1166,1164,1165,
1162,1163,1167,1168,1170,1171,1172,1175,1175,1176,1176,1178,1179,1181,1206,
1198,1197,1216,1215,1217,1208,1209,1211,1210,1212,1213,1192,1191,1186,1185,
1187,1188,1201,1202,1204,1202,1203,1203,1214,1207,1193,1194,1195,1196,1199,
1200,1184,1183,1182,1190,1189,1226,1224,1228,1229,1230,1227,1219,1220,1221,
1233,1234,1237,1238,1239,1240,1248,1247,1249,1246,1250,1251,1245,1241,1242,
1244,1243,1253,1255,1256,1262,1259,1260,1264,1265,1271,1269,1268,1273,1280,
1278,1278,1277,1277,1281,1284,1267,1286,1287,1290,1289,1291,1292,1293,1296,
1294,1298,1299,1301,1304,1309,1307,1306,1312,1313,1322,1323,1322,1321,1321,
1317,1328,1327,1330,1331,1332,1334,1341,1342,1344,1326,1339,1337,1335,1347,
1350,1348,1352,1355,1357,1363,1362,1366,1365,1364,1368,1360,1369,1372,1371,
1373,1379,1381,1384,1386,1388,1392,1396,1398,1399,1400,1401,1405,1409] );
AFLT( "2^4:A8","L5(2)",[1,2,2,3,3,5,4,6,7,10,15,12,11,10,9,6,8,7,12,10,11,14,
15,13,8,9,11,9,12,11,14,16,17,16,17,18,18,19,20,21,22,21,23,24,23,25,27,27,26,
32,35,45,38,42,43,48,26,36,37,41,42,29,31,46,44,45,43,33,48,48,28,36,39,41,30,
44,40,47,47,41,32,45,36,39,47,37,38,28,38,40,30,29,34,39,40,47,44,47,30,49,51,
53,50,52,53,52,55,51,56,62,54,50,61,53,50,49,55,62,59,60,58,63,54,55,57,56,58,
62,59,61,60,61,72,64,65,66,72,70,75,76,65,69,73,66,68,74,67,67,73,64,68,72,69,
76,71,69,71,71,70,76,77,78,79,78,79,80,81,82,84,90,85,86,87,88,91,83,85,84,91,
94,95,93,99,100,100,98,98,101,96,97,102,103,104,106,105,111,113,109,116,121,
117,110,114,112,115,116,117,121,115,107,108,120,118,108,119,114,118,119,120,
119,113,111,118,107,120,108,119,122,131,129,127,123,125,126,127,131,133,123,
135,128,134,132,124,133,127,125,135,132,135,130,134,128,148,151,149,148,149,
147,150,136,137,140,143,143,141,146,138,139,142,141,140,144,145,141,143,153,
159,174,156,164,166,167,173,171,177,173,173,164,153,158,155,170,182,181,184,
156,176,161,178,157,177,162,179,168,172,169,178,162,170,171,163,158,155,176,
180,183,159,164,163,155,175,157,168,160,167,152,178,154,161,159,169,171,179,
162,165,152,154,160,161,179,206,199,216,211,201,205,210,220,195,212,188,223,
222,202,207,208,191,197,219,194,193,192,214,213,203,206,205,223,198,212,215,
218,196,185,207,189,191,192,211,219,190,201,193,221,187,202,200,205,204,209,
203,210,190,200,211,189,206,217,198,215,210,194,219,197,216,204,212,198,208,
186,213,214,223,215,196,195,217,218,196,197,218,224,225,228,231,227,225,227,
229,226,230,231,228,232,234,233,237,235,236,238,239,240,241,242,243,246,248,
251,252,249,250,247,252,253,246,255,254,258,253,248,251,249,251,250,253,261,
260,258,256,257,263,264,265,271,272,268,267,274,273,278,267,266,265,266,264,
263,267,272,266,276,275,279,280,282,283,281,283,282,289,285,284,286,288,287,
290,293,301,303,295,296,293,306,302,294,298,308,307,309,297,299,308,305,292,
295,306,294,304,300,302,296,306,301,298,298,308,299,297,309,307,311,310,310,
312,311,313,312,324,327,337,330,346,342,343,332,338,335,315,349,350,317,329,
334,350,342,341,322,336,352,343,344,353,318,326,318,324,323,332,331,319,320,
330,347,322,321,334,346,352,353,345,316,325,314,341,315,317,348,328,356,354,
355,328,323,329,333,345,335,336,339,340,350,346,344,335,316,333,317,331,319,
347,320,321,351,322,353,352,357,360,358,359,359,361,371,373,363,362,363,368,
372,369,364,380,379,383,374,365,381,362,366,364,379,375,363,366,365,378,382,
378,379,375,372,373,376,380,366,374,377,381,370,375,367,376,377,380,381,384,
384,385,388,387,389,386,387,386,390,391,392,391,390,393,394,396,396,395,396,
420,419,421,423,422,422,419,406,405,415,410,412,413,408,416,417,411,409,407,
404,414,406,408,417,404,408,417,405,407,418,398,397,400,399,402,401,403,399,
401,401,400,425,424,426,427,428,429,425,427,430,466,468,465,467,470,480,478,
479,477,472,476,475,474,475,484,473,474,473,475,483,481,476,476,472,482,472,
474,477,469,477,473,471,488,492,489,486,494,486,487,489,485,489,487,493,487,
485,490,486,485,491,446,449,443,447,442,439,434,437,458,432,433,441,440,445,
436,451,450,459,452,438,444,448,444,455,457,440,442,454,439,456,458,459,441,
443,457,455,453,435,456,455,454,457,495,463,461,460,461,462,461,462,462,464,
500,503,501,502,496,497,431,499,498,504,505,506,508,510,509,511,513,514,517,
516,520,516,519,520,523,529,525,524,526,533,534,532,531,531,522,530,532,536,
543,541,551,538,550,540,550,549,539,539,542,538,546,544,547,549,551,545,557,
548,556,552,541,551,546,538,542,550,537,540,537,540,553,554,558,555,564,565,
566,571,573,569,572,570,562,563,561,581,580,575,574,576,579,578,578,576,577,
582,583,584,585,584,586,588,589,591,592,594,595,598,596,597,597,599,613,615,
622,624,621,619,617,628,618,614,617,618,614,622,621,623,619,628,626,627,625,
616,620,624,625,620,626,623,628,600,601,602,603,605,601,604,607,606,602,604,
603,604,611,609,608,610,612,608,610,629,629,630,631,632,634,633,634,675,672,
676,673,674,676,673,639,638,647,644,638,639,644,640,642,641,645,644,640,646,
643,650,649,648,661,656,662,655,664,654,663,652,666,665,669,670,671,658,659,
664,660,661,663,662,660,651,657,653,668,667,659,658,660,637,636,637,636,677,
677,678,680,679,693,695,694,696,688,683,682,686,684,681,689,690,691,692,689,
698,686,687,699,701,700,688,697,687,685,701,698,700,699,702,703,708,706,704,
705,707,709,710,718,712,717,711,714,716,719,711,720,719,712,713,715,719,732,
731,733,730,734,730,733,723,724,726,725,726,727,727,727,725,722,728,729,744,
743,745,742,746,742,743,736,735,738,738,740,741,740,737,740,735,739,721,635,
756,757,759,758,781,782,784,783,747,750,748,750,750,749,755,749,748,747,749,
752,753,748,747,751,754,780,779,774,773,772,769,776,775,771,778,777,770,761,
762,763,763,762,762,763,760,764,766,765,768,767,792,791,790,788,786,787,785,
789,793,797,796,795,794,798,800,799,802,801,807,809,805,803,810,812,814,817,
813,823,815,813,816,820,818,816,823,815,824,823,830,831,829,829,830,825,826,
828,826,833,834,835,836,837,835,832,834,844,841,840,845,845,840,839,849,848,
847,864,865,863,872,855,853,862,860,851,854,852,858,850,859,861,867,868,866,
870,875,874,873,877,876,879,880,878,887,883,884,886,885,886,888,888,889,892,
890,891,896,897,894,893,895,902,904,905,903,900,899,898,899,901,910,909,912,
914,915,918,913,917,916,911,919,922,924,920,922,921,921,923,907,908,906,938,
928,927,930,926,925,929,932,927,932,928,931,932,934,937,935,936,933,937,936,
939,939,944,943,947,945,946,945,942,942,952,954,953,955,948,951,956,957,955,
954,957,949,950,957,964,966,969,965,968,969,967,967,975,978,977,976,973,972,
970,974,971,982,981,980,979,958,960,959,961,941,940,962,962,963,991,989,988,
990,992,993,994,995,996,997,984,983,985,986,1000,998,1001,999,1002,987,1004,
1005,1007,1009,1012,1014,1013,1015,1014,1017,1016,1017,1020,1022,1024,1026,
1028,1025,1029,1030,1033,1034,1035,1036,1036,1046,1045,1069,1070,1042,1038,
1037,1039,1040,1041,1042,1041,1043,1062,1063,1067,1066,1063,1068,1064,1065,
1068,1065,1064,1059,1055,1055,1054,1056,1053,1054,1060,1061,1071,1072,1048,
1047,1049,1052,1051,1058,1057,1073,1080,1079,1075,1076,1074,1081,1079,1081,
1084,1089,1086,1082,1090,1090,1091,1093,1097,1099,1098,1101,1102,1103,1105,
1106,1104,1136,1135,1133,1134,1132,1115,1113,1114,1112,1116,1112,1117,1117,
1123,1122,1125,1124,1119,1118,1109,1107,1110,1108,1107,1108,1121,1127,1126,
1130,1131,1129,1128,1111,1120,1142,1143,1144,1141,1148,1145,1146,1147,1138,
1140,1139,1137,1149,1151,1152,1156,1155,1154,1158,1160,1166,1165,1164,1163,
1162,1167,1168,1169,1171,1173,1174,1174,1177,1177,1179,1178,1180,1205,1197,
1198,1215,1216,1218,1209,1208,1210,1211,1213,1212,1191,1192,1185,1186,1188,
1187,1203,1204,1202,1204,1201,1201,1214,1207,1194,1193,1196,1195,1200,1199,
1184,1182,1183,1189,1190,1223,1225,1229,1228,1227,1230,1220,1219,1222,1232,
1235,1238,1237,1240,1239,1247,1248,1249,1246,1251,1250,1245,1242,1241,1243,
1244,1252,1254,1257,1261,1258,1260,1264,1263,1270,1268,1269,1274,1275,1276,
1276,1279,1279,1282,1283,1266,1285,1288,1289,1290,1292,1291,1293,1295,1294,
1297,1300,1302,1304,1310,1308,1305,1311,1314,1324,1321,1324,1323,1323,1318,
1327,1328,1329,1332,1331,1333,1342,1341,1343,1325,1340,1338,1336,1346,1351,
1349,1353,1356,1357,1362,1363,1366,1364,1365,1367,1361,1370,1371,1372,1374,
1380,1382,1383,1387,1389,1393,1395,1397,1399,1400,1402,1406,1410] );
AFLT( "2^4:A5","L3(4)",[1,2,2,3,11,12,13,7,9,8,10,11,6,9,10,4,8,5,14,15,18,17,
21,19,20,24,21,23,25,22,27,32,31,29,34,28,30,33,34,36,35,39,37,38,40,43,48,44,
45,41,47,42,49,46,53,52,57,60,59,61,62,58,67,69,66,68,70,77,72,75,76,78,80,83,
84,89,94] );
AFLT( "2^4:A5","L3(4)",[1,2,2,3,11,8,9,10,13,11,12,7,4,12,13,5,7,6,14,15,20,
18,19,21,17,23,19,22,25,24,27,30,33,28,32,34,29,31,34,35,36,38,39,37,49,41,44,
46,42,40,47,43,45,48,55,54,56,58,61,59,60,62,66,70,67,69,68,71,73,72,74,78,81,
82,85,89,93] );
AFLT( "2^4:A5","2^4:A6",[1,2,3,5,6,7,6,7,12,8,12,9,15,14,14,11,10,15,17,20,26,
26,25,21,24,34,30,34,29,31,38,41,45,42,47,46,49,49,45,50,51,53,52,53,59,59,60,
57,56,55,54,63,63,60,80,79,77,89,88,84,89,86,96,104,101,104,100,109,107,105,
108,111,118,122,126,130,138] );
AFLT( "2^4:A5`","U4(2)",[1,2,3,3,5,8,9,10,10,7,8,12,11,13,20,16,19,23,23,21,
24,25,22,26,26,27,25,26,29,28,34,35,35,40,38,39,42,45,44,47,44,46,43,57,64,61,
66,64,60,70,72,71,79,78,80,85,87,90,92,95,102,105,115] );
AFLT( "2^4:A5`","2^4:A6",[1,2,2,3,4,7,7,6,10,11,13,15,14,17,18,18,19,21,22,23,
21,24,25,31,28,26,27,31,34,34,38,39,43,40,44,48,50,55,57,60,62,63,64,70,70,75,
81,74,71,82,84,85,97,99,98,106,110,118,119,121,126,127,137] );
AFLT( "2^4:A5`","S4(5)",[1,2,3,3,5,8,6,9,9,10,8,11,7,15,22,21,18,24,24,23,26,
27,25,31,31,28,27,31,29,30,39,47,47,50,45,52,62,64,66,67,66,65,63,95,97,90,
101,97,87,116,118,117,139,137,135,157,164,174,176,179,212,215,267] );
AFLT( "2^4:A5`","2^4:S5",[1,2,3,6,7,10,8,12,16,15,17,24,18,28,30,34,33,36,37,
38,40,41,42,55,45,52,51,55,65,60,73,74,82,75,80,81,87,94,90,102,109,110,111,
122,125,127,135,133,136,139,144,142,160,161,157,170,171,178,179,180,189,190,
196] );
#############################################################################
#############################################################################
##
#E