GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
#############################################################################
##
#W tmalt1mx.tom GAP table of marks library Thomas Merkwitz
##
#H @(#)$Id: tmalt1mx.tom,v 4.7 2005/12/10 12:41:15 gap Exp $
##
#Y Copyright (C) 1997, Lehrstuhl D fuer Mathematik, RWTH Aachen, Germany
##
## This file contains tables of marks of maximal subgroups of alternating
## groups
##
#H tomlib history
#H --------------
#H $Log: tmalt1mx.tom,v $
#H Revision 4.7 2005/12/10 12:41:15 gap
#H typo (that made it impossible to read the file)
#H TB
#H
#H Revision 4.6 2004/02/26 08:32:38 gap
#H ***&O_8^-(2)&:&The fusion from the table of marks of the maximal subgroup
#H $(A_8 \times 3):2$ was corrected.
#H TB
#H
#H Revision 4.5 2001/07/05 06:56:51 gap
#H first revision for tomlib
#H
#H
#H tom history (GAP 4)
#H -------------------
#H (Rev. 4.5 of tomlib coincides with Rev. 4.4 of tom in GAP 4)
#H
#H RCS file: /gap/CVS/GAP/4.0/tom/tmalt1mx.tom,v
#H Working file: tmalt1mx.tom
#H head: 4.4
#H branch:
#H locks: strict
#H access list:
#H symbolic names:
#H GAP4R2: 4.4.0.8
#H GAP4R2PRE2: 4.4.0.6
#H GAP4R2PRE1: 4.4.0.4
#H GAP4R1: 4.4.0.2
#H GAP4B5: 4.3.0.2
#H dec16-98b: 4.3
#H GAP4b4: 4.2
#H version-14-apr: 4.2
#H version-15-jun: 4.2
#H keyword substitution: kv
#H total revisions: 5; selected revisions: 5
#H description:
#H ----------------------------
#H revision 4.4
#H date: 1999/07/01 09:41:58; author: gap; state: Exp; lines: +4 -5
#H added list of definitions of standard generators
#H (taken from Thomas Merkwitz's thesis),
#H changed names of 2.S5`, 3`D4(2), 2`F4(2) to 2.S5', 3D4(2), 2F4(2)
#H for consistency with the names in the character table library
#H
#H TB
#H ----------------------------
#H revision 4.3
#H date: 1998/09/12 14:20:14; author: gap; state: Exp; lines: +45 -2
#H added some more fusions to the library of table of marks
#H T. Merkwitz
#H ----------------------------
#H revision 4.2
#H date: 1997/12/05 14:56:34; author: gap; state: Exp; lines: +5 -2
#H added new table of marks "3`D4(2)"
#H ----------------------------
#H revision 4.1
#H date: 1997/11/20 11:34:28; author: gap; state: Exp; lines: +2 -2
#H changed revision number to 4.1
#H ----------------------------
#H revision 1.1
#H date: 1997/11/17 12:49:31; author: gap; state: Exp;
#H added new table of marks library file
#H ==========================================================================
#H
Revision.tmalt1mx_tom :=
"@(#)$Id: tmalt1mx.tom,v 4.7 2005/12/10 12:41:15 gap Exp $";
SetActualLibFileName("tmalt1mx");
LIBTOM( "(A7x3):2",
[[1],[1,2],[1,3],[1,4],[1,5],[1,6],[1,7],[1,8],[1,9],[1,3,10],[1,3,11],[1,3,
12],[1,3,13],[1,2,3,14],[1,2,3,4,15],[1,3,4,16],[1,17],[1,2,5,18],[1,3,6,19],[
1,3,5,20],[1,4,5,21],[1,2,6,22],[1,3,6,23],[1,2,7,24],[1,3,7,25],[1,4,6,26],[
1,4,8,27],[1,3,8,28],[1,2,6,29],[1,4,7,30],[1,4,9,31],[1,4,8,32],[1,33],[1,2,
3,4,11,14,15,34],[1,2,3,4,10,15,16,35],[1,3,10,11,13,36],[1,2,3,10,12,14,37],[
1,2,3,4,13,14,16,38],[1,3,4,11,12,16,39],[1,2,3,4,12,13,15,40],[1,5,6,7,41],[
1,6,8,42],[1,5,8,9,43],[1,7,8,9,44],[1,6,7,9,45],[1,3,17,46],[1,4,17,47],[1,2,
17,48],[1,3,5,10,20,49],[1,3,6,10,19,50],[1,3,6,10,51],[1,3,8,10,52],[1,3,7,
10,53],[1,3,7,10,25,54],[1,3,6,11,19,23,55],[1,3,5,12,20,56],[1,3,8,11,57],[1,
3,6,13,19,58],[1,3,5,11,20,59],[1,2,3,5,14,18,20,60],[1,3,9,10,61],[1,3,9,11,
62],[1,3,6,12,19,63],[1,3,4,6,16,19,26,64],[1,2,3,6,14,19,29,65],[1,2,3,4,6,
15,19,22,26,66],[1,2,3,4,5,15,18,20,21,67],[1,3,4,5,16,20,21,68],[1,3,5,13,20,
69],[1,2,3,6,14,22,23,29,70],[1,2,3,4,6,15,23,26,29,71],[1,3,4,7,16,25,30,
72],[1,2,3,4,7,15,24,25,30,73],[1,3,4,8,16,27,28,32,74],[1,4,33,75],[1,5,17,
76],[1,2,3,4,10,11,12,13,14,15,16,34,35,36,37,38,39,40,77],[1,2,5,6,7,18,22,
24,41,78],[1,3,6,8,23,28,42,79],[1,3,5,6,7,19,20,25,41,80],[1,4,5,6,7,21,26,
30,41,81],[1,4,5,8,9,21,27,31,43,82],[1,3,5,6,7,20,23,41,83],[1,2,5,6,7,18,29,
41,84],[1,4,6,8,27,32,42,85],[1,3,5,8,9,20,28,43,86],[1,2,6,8,22,29,42,87],[1,
4,5,8,9,21,32,43,88],[1,4,7,8,9,31,32,44,89],[1,2,6,7,9,24,29,45,90],[1,3,13,
17,46,91],[1,2,3,4,15,17,46,47,48,92],[1,3,12,17,46,93],[1,8,33,94],[1,5,33,
95],[1,9,33,96],[1,2,3,6,10,12,14,22,37,51,97],[1,3,6,10,11,13,23,36,51,98],[
1,2,3,4,5,11,14,15,18,20,21,34,59,60,67,99],[1,3,6,10,11,13,19,23,36,50,55,58,
100],[1,2,3,5,10,12,14,18,20,37,49,56,60,101],[1,2,3,4,5,10,15,16,18,20,21,35,
49,67,68,102],[1,2,3,4,6,10,15,16,19,22,26,35,50,64,66,103],[1,3,8,10,11,13,
28,36,57,104],[1,2,3,7,10,12,14,24,37,53,105],[1,3,8,10,11,13,28,36,52,106],[
1,2,3,4,7,10,15,16,24,25,30,35,54,72,73,107],[1,2,3,4,5,12,13,15,18,20,21,40,
56,67,69,108],[1,2,3,4,6,13,14,16,19,26,29,38,58,64,65,109],[1,3,5,10,11,13,
20,36,49,59,69,110],[1,2,3,4,5,13,14,16,18,20,21,38,60,68,69,111],[1,2,3,4,6,
12,13,15,19,22,26,40,58,63,66,112],[1,3,4,8,11,12,16,27,39,57,113],[1,2,3,4,6,
10,15,16,29,35,51,114],[1,3,4,5,11,12,16,20,21,39,56,59,68,115],[1,2,3,4,8,11,
14,15,32,34,57,116],[1,2,3,4,6,11,14,15,19,22,23,26,29,34,55,65,66,70,71,
117],[1,2,3,6,10,12,14,19,29,37,50,63,65,118],[1,3,4,6,11,12,16,19,23,26,39,
55,63,64,119],[1,3,4,9,11,12,16,31,39,62,120],[1,5,6,7,8,9,41,42,43,44,45,
121],[1,4,5,17,21,47,76,122],[1,2,5,17,18,48,76,123],[1,3,5,17,20,46,76,124],[
1,3,5,6,7,10,20,41,49,51,53,125],[1,3,5,6,7,10,19,20,25,41,49,50,54,80,126],[
1,3,6,8,10,19,42,50,51,52,127],[1,3,6,7,9,10,19,45,50,53,61,128],[1,3,6,7,9,
10,25,45,51,54,61,129],[1,3,5,8,9,10,20,43,49,52,61,130],[1,3,6,8,13,23,28,42,
79,131],[1,3,5,8,9,11,20,43,57,59,62,132],[1,3,5,6,7,12,19,20,25,41,56,63,80,
133],[1,3,5,6,7,13,19,20,25,41,58,69,80,134],[1,3,5,6,7,11,19,20,23,25,41,55,
59,80,83,135],[1,3,4,5,6,7,16,19,20,21,25,26,30,41,64,68,72,80,81,136],[1,2,3,
5,6,7,14,18,19,20,25,29,41,60,65,80,84,137],[1,2,3,4,5,6,7,15,18,19,20,21,22,
24,25,26,30,41,66,67,73,78,80,81,138],[1,3,7,8,9,10,25,44,52,53,54,61,139],[1,
2,3,6,8,14,22,23,28,29,42,70,79,87,140],[1,2,3,4,5,6,7,15,18,20,21,23,26,29,
30,41,67,71,81,83,84,141],[1,2,3,5,6,7,14,18,20,22,23,24,29,41,60,70,78,83,84,
142],[1,3,4,6,8,16,23,27,28,32,42,74,79,85,143],[1,3,4,5,8,9,16,20,21,27,28,
31,32,43,68,74,82,86,88,144],[1,2,3,4,12,13,15,17,40,46,47,48,91,92,93,145],[
1,4,5,21,33,75,95,146],[1,4,8,32,33,75,94,147],[1,2,3,4,5,10,11,12,13,14,15,
16,18,20,21,34,35,36,37,38,39,40,49,56,59,60,67,68,69,77,99,101,102,108,110,
111,115,148],[1,2,3,4,8,10,11,12,13,14,15,16,27,28,32,34,35,36,37,38,39,40,57,
74,77,104,113,116,149],[1,2,3,4,6,10,11,12,13,14,15,16,19,22,23,26,29,34,35,
36,37,38,39,40,50,55,58,63,64,65,66,70,71,77,100,103,109,112,117,118,119,
150],[1,2,3,4,6,10,11,12,13,14,15,16,22,23,29,34,35,36,37,38,39,40,51,70,77,
97,98,114,151],[1,3,5,6,7,8,9,20,23,28,41,42,43,44,45,79,83,86,121,152],[1,4,
5,6,7,8,9,21,27,31,32,41,42,43,44,45,82,85,88,89,121,153],[1,2,5,6,7,8,9,18,
22,24,29,41,42,43,44,45,78,84,87,90,121,154],[1,3,6,10,17,23,46,51,155],[1,3,
8,11,17,28,46,57,156],[1,3,5,13,17,20,46,69,76,91,124,157],[1,2,3,4,5,15,17,
18,20,21,46,47,48,67,76,92,122,123,124,158],[1,3,5,12,17,20,46,56,76,93,124,
159],[1,5,8,9,33,43,94,95,96,160],[1,2,3,4,5,6,7,10,15,16,18,19,20,21,22,24,
25,26,30,35,41,49,50,54,64,66,67,68,72,73,78,80,81,102,103,107,126,136,138,
161],[1,2,3,5,6,7,10,12,14,18,20,22,24,37,41,49,51,53,56,60,78,97,101,105,125,
162],[1,3,6,8,10,11,13,19,23,28,36,42,50,51,52,55,58,79,98,100,106,127,163],[
1,3,5,8,9,10,11,13,20,28,36,43,49,57,59,62,69,86,104,110,132,164],[1,2,3,5,6,
7,10,12,14,18,19,20,25,29,37,41,49,50,54,56,60,63,65,80,84,101,118,126,133,
137,165],[1,2,3,4,5,6,7,12,13,15,18,19,20,21,22,24,25,26,30,40,41,56,58,63,66,
67,69,73,78,80,81,108,112,133,134,138,166],[1,3,4,5,6,7,11,12,16,19,20,21,23,
25,26,30,39,41,55,56,59,63,64,68,72,80,81,83,115,119,133,135,136,167],[1,2,3,
4,6,8,10,15,16,19,22,26,29,35,42,50,51,52,64,66,87,103,114,127,168],[1,2,3,6,
8,10,12,14,19,22,29,37,42,50,51,52,63,65,87,97,118,127,169],[1,2,3,4,5,6,7,13,
14,16,18,19,20,21,25,26,29,30,38,41,58,60,64,65,68,69,72,80,81,84,109,111,134,
136,137,170],[1,2,3,4,5,6,7,10,15,16,18,20,21,29,35,41,49,51,53,67,68,84,102,
114,125,171],[1,3,5,6,7,10,11,13,20,23,36,41,49,51,53,59,69,83,98,110,125,
172],[1,2,3,4,5,6,7,11,14,15,18,19,20,21,22,23,24,25,26,29,30,34,41,55,59,60,
65,66,67,70,71,73,78,80,81,83,84,99,117,135,137,138,141,142,173],[1,2,3,4,5,8,
9,11,14,15,18,20,21,32,34,43,57,59,60,62,67,88,99,116,132,174],[1,3,4,5,8,9,
11,12,16,20,21,27,31,39,43,56,57,59,62,68,82,113,115,120,132,175],[1,3,5,6,7,
10,11,13,19,20,23,25,36,41,49,50,54,55,58,59,69,80,83,100,110,126,134,135,
176],[1,2,3,6,7,9,10,12,14,19,24,29,37,45,50,53,61,63,65,90,105,118,128,177],[
1,3,5,8,9,10,11,13,20,28,36,43,49,52,59,61,69,86,106,110,130,178],[1,2,3,4,6,
8,13,14,16,22,23,27,28,29,32,38,42,70,74,79,85,87,131,140,143,179],[1,2,3,4,6,
7,9,10,15,16,24,25,29,30,35,45,51,54,61,72,73,90,107,114,129,180],[1,3,5,6,7,
8,9,10,19,20,25,41,42,43,44,45,49,50,51,52,53,54,61,80,121,125,126,127,128,
129,130,139,181],[1,2,3,5,6,7,8,9,14,18,20,22,23,24,28,29,41,42,43,44,45,60,
70,78,79,83,84,86,87,90,121,140,142,152,154,182],[1,3,4,5,6,7,8,9,16,20,21,23,
27,28,31,32,41,42,43,44,45,68,74,79,82,83,85,86,88,89,121,143,144,152,153,
183],[1,3,5,6,7,8,9,13,20,23,28,41,42,43,44,45,69,79,83,86,121,131,152,184],[
1,3,6,10,11,13,17,19,23,36,46,51,55,91,98,155,185],[1,2,3,4,6,10,15,16,17,23,
26,29,35,46,47,48,51,71,92,114,155,186],[1,2,3,6,10,12,14,17,22,23,29,37,46,
51,70,93,97,155,187],[1,2,3,4,5,12,13,15,17,18,20,21,40,46,47,48,56,67,69,76,
91,92,93,108,122,123,124,145,157,158,159,188],[1,3,4,8,11,12,16,17,27,28,32,
39,46,57,74,93,113,156,189],[1,4,5,8,9,21,32,33,43,75,88,94,95,96,146,147,160,
190],[1,2,3,4,5,6,7,10,11,12,13,14,15,16,18,20,21,22,23,24,29,34,35,36,37,38,
39,40,41,49,51,53,56,59,60,67,68,69,70,77,78,83,84,97,98,99,101,102,105,108,
110,111,114,115,125,142,148,151,162,171,172,191],[1,2,3,4,5,6,7,10,11,12,13,
14,15,16,18,19,20,21,22,23,24,25,26,29,30,34,35,36,37,38,39,40,41,49,50,54,55,
56,58,59,60,63,64,65,66,67,68,69,70,71,72,73,77,78,80,81,83,84,99,100,101,102,
103,107,108,109,110,111,112,115,117,118,119,126,133,134,135,136,137,138,141,
142,148,150,161,165,166,167,170,173,176,192],[1,2,3,4,6,8,10,11,12,13,14,15,
16,19,22,23,26,28,29,34,35,36,37,38,39,40,42,50,51,52,55,58,63,64,65,66,70,71,
77,79,87,97,98,100,103,106,109,112,114,117,118,119,127,140,150,151,163,168,
169,193],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,18,20,21,27,28,31,32,34,35,36,37,
38,39,40,43,49,56,57,59,60,62,67,68,69,74,77,82,86,88,99,101,102,104,108,110,
111,113,115,116,120,132,144,148,149,164,174,175,194],[1,3,8,10,11,13,28,33,36,
52,57,94,104,106,195],[1,3,5,6,7,10,17,20,23,41,46,49,51,53,76,83,124,125,155,
196],[1,3,5,8,9,11,17,20,28,43,46,57,59,62,76,86,124,132,156,197],[1,2,3,5,6,
7,8,9,10,12,14,18,19,20,22,24,25,29,37,41,42,43,44,45,49,50,51,52,53,54,56,60,
61,63,65,78,80,84,87,90,97,101,105,118,121,125,126,127,128,129,130,133,137,
139,154,162,165,169,177,181,198],[1,3,5,6,7,8,9,10,11,13,19,20,23,25,28,36,41,
42,43,44,45,49,50,51,52,53,54,55,58,59,61,69,79,80,83,86,98,100,106,110,121,
125,126,127,128,129,130,134,135,139,152,163,172,176,178,181,199],[1,2,3,4,5,6,
7,8,9,10,15,16,18,19,20,21,22,24,25,26,29,30,35,41,42,43,44,45,49,50,51,52,53,
54,61,64,66,67,68,72,73,78,80,81,84,87,90,102,103,107,114,121,125,126,127,128,
129,130,136,138,139,154,161,168,171,180,181,200],[1,2,3,4,5,6,7,8,9,13,14,16,
18,20,21,22,23,24,27,28,29,31,32,38,41,42,43,44,45,60,68,69,70,74,78,79,82,83,
84,85,86,87,88,89,90,111,121,131,140,142,143,144,152,153,154,179,182,183,184,
201],[1,2,3,4,6,10,11,12,13,14,15,16,17,19,22,23,26,29,34,35,36,37,38,39,40,
46,47,48,51,55,65,66,70,71,77,91,92,93,97,98,114,117,145,151,155,185,186,187,
202],[1,3,6,8,10,11,13,17,23,28,36,42,46,51,57,79,98,104,131,155,156,203],[1,
2,3,5,6,7,10,12,14,17,18,20,22,23,24,29,37,41,46,49,51,53,56,60,70,76,78,83,
84,93,97,101,105,124,125,142,155,159,162,187,196,204],[1,2,3,4,5,6,7,10,15,16,
17,18,20,21,23,26,29,30,35,41,46,47,48,49,51,53,67,68,71,76,81,83,84,92,102,
114,122,123,124,125,141,155,158,171,186,196,205],[1,3,5,6,7,10,11,13,17,19,20,
23,25,36,41,46,49,51,53,55,59,69,76,80,83,91,98,110,124,125,135,155,157,172,
185,196,206],[1,3,4,5,8,9,11,12,16,17,20,21,27,28,31,32,39,43,46,56,57,59,62,
68,74,76,82,86,88,93,113,115,120,124,132,144,156,159,175,189,197,207],[1,2,3,
4,5,6,7,8,9,10,11,12,13,14,15,16,18,19,20,21,22,23,24,25,26,28,29,30,34,35,36,
37,38,39,40,41,42,43,44,45,49,50,51,52,53,54,55,56,58,59,60,61,63,64,65,66,67,
68,69,70,71,72,73,77,78,79,80,81,83,84,86,87,90,97,98,99,100,101,102,103,105,
106,107,108,109,110,111,112,114,115,117,118,119,121,125,126,127,128,129,130,
133,134,135,136,137,138,139,140,141,142,148,150,151,152,154,161,162,163,165,
166,167,168,169,170,171,172,173,176,177,178,180,181,182,191,192,193,198,199,
200,208],[1,3,5,8,9,10,11,13,20,28,33,36,43,49,52,57,59,61,62,69,86,94,95,96,
104,106,110,130,132,160,164,178,195,209],[1,2,3,4,5,6,7,10,11,12,13,14,15,16,
17,18,19,20,21,22,23,24,25,26,29,30,34,35,36,37,38,39,40,41,46,47,48,49,51,53,
55,56,59,60,65,66,67,68,69,70,71,73,76,77,78,80,81,83,84,91,92,93,97,98,99,
101,102,105,108,110,111,114,115,117,122,123,124,125,135,137,138,141,142,145,
148,151,155,157,158,159,162,171,172,173,185,186,187,188,191,196,202,204,205,
206,210],[1,2,3,4,6,8,10,11,12,13,14,15,16,17,22,23,27,28,29,32,34,35,36,37,
38,39,40,42,46,51,57,70,74,77,79,85,87,93,97,98,104,113,114,116,131,140,143,
149,151,155,156,179,187,189,203,211],[1,3,5,6,7,8,9,10,11,13,17,20,23,28,36,
41,42,43,44,45,46,49,51,53,57,59,62,69,76,79,83,86,98,104,110,121,124,125,131,
132,152,155,156,164,172,184,196,197,203,212],[1,2,3,4,5,6,7,8,9,10,11,12,13,
14,15,16,17,18,20,21,22,23,24,27,28,29,31,32,34,35,36,37,38,39,40,41,42,43,44,
45,46,49,51,53,56,57,59,60,62,67,68,69,70,74,76,77,78,79,82,83,84,85,86,87,88,
89,90,93,97,98,99,101,102,104,105,108,110,111,113,114,115,116,120,121,124,125,
131,132,140,142,143,144,148,149,151,152,153,154,155,156,159,162,164,171,172,
174,175,179,182,183,184,187,189,191,194,196,197,201,203,204,207,211,212,213],[
1,3,6,8,10,11,13,17,19,23,28,33,36,42,46,50,51,52,55,57,58,79,91,94,98,100,
104,106,127,131,155,156,163,185,195,203,214],[1,2,3,4,6,8,10,11,12,13,14,15,
16,17,19,22,23,26,27,28,29,32,33,34,35,36,37,38,39,40,42,46,47,48,50,51,52,55,
57,58,63,64,65,66,70,71,74,75,77,79,85,87,91,92,93,94,97,98,100,103,104,106,
109,112,113,114,116,117,118,119,127,131,140,143,145,147,149,150,151,155,156,
163,168,169,179,185,186,187,189,193,195,202,203,211,214,215],[1,3,5,6,7,8,9,
10,11,13,17,19,20,23,25,28,33,36,41,42,43,44,45,46,49,50,51,52,53,54,55,57,58,
59,61,62,69,76,79,80,83,86,91,94,95,96,98,100,104,106,110,121,124,125,126,127,
128,129,130,131,132,134,135,139,152,155,156,157,160,163,164,172,176,178,181,
184,185,195,196,197,199,203,206,209,212,214,216],[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]],
0,[[1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,3,1],[1,3,1],[1,1,
1],[1,1,1],[1,2,1,1],[1,1,1,1,1],[1,1,2,1],[1,1],[1,3,1,1],[1,1,1,1],[1,1,1,
1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,1,1,1],[1,3,1,1],[1,3,1,1],[1,3,
1,1],[1,1,1,1],[1,3,1,1],[1,3,1,1],[1,1,1,1],[1,1],[1,3,3,1,1,3,3,1],[1,1,3,3,
1,3,3,1],[1,5,1,1,1,1],[1,2,3,1,1,1,1],[1,2,1,2,1,1,1,1],[1,3,2,1,1,1,1],[1,1,
1,1,1,1,1,1],[1,1,1,2,1],[1,2,2,1],[1,1,1,2,1],[1,2,1,1,1],[1,1,1,2,1],[1,5,1,
1],[1,5,1,1],[1,1,1,1],[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],[1,3,1,1,3,1],[1,7,1,3,1,2,1],[1,1,1,3,1,1],[1,3,4,1,1],[1,1,1,3,1,
1],[1,3,1,1,3,1],[1,6,1,1,3,2,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,1,1,1,1,1],[1,1,
6,1,3,1,2,1],[1,2,1,1,1,1,2,1],[1,3,1,3,1,3,1,1,1,1],[1,3,1,3,1,3,1,1,1,1],[1,
1,6,1,3,1,2,1],[1,1,1,1,1,1],[1,4,3,1,3,1,1,1,1],[1,1,3,3,1,3,1,1,1,1],[1,1,6,
1,3,1,2,1],[1,3,1,3,1,3,1,1,1,1],[1,3,4,1,3,1,1,1,1],[1,7,1,1],[1,1,1,1],[1,3,
5,3,1,1,1,1,3,5,3,1,1,1,1,1,1,1,1],[1,9,1,1,2,3,3,6,1,1],[1,9,2,2,6,6,1,1],[1,
1,1,1,2,1,1,2,1,1],[1,9,1,1,2,3,3,6,1,1],[1,9,1,1,2,3,3,6,1,1],[1,3,1,1,2,3,1,
1,1],[1,3,1,1,2,1,3,1,1],[1,3,2,2,1,3,1,1],[1,3,1,1,2,3,1,1,1],[1,3,2,2,1,3,1,
1],[1,3,1,1,2,1,3,1,1],[1,3,2,1,1,1,3,1,1],[1,3,1,1,2,1,3,1,1],[1,5,5,1,1,1],[
1,1,5,5,5,1,1,1,1,1],[1,5,5,1,1,1],[1,7,1,1],[1,1,1,1],[1,7,1,1],[1,6,3,4,1,3,
3,4,3,1,1],[1,9,4,1,3,3,4,3,1,1],[1,9,3,3,1,1,9,9,3,3,1,3,1,3,3,1],[1,9,1,1,3,
3,3,2,3,1,1,1,1],[1,6,3,1,1,3,3,2,3,3,1,1,1,1],[1,3,3,9,1,1,9,9,1,3,3,3,1,3,3,
1],[1,3,3,9,1,1,9,9,3,1,3,3,1,3,3,1],[1,9,4,3,1,3,4,3,1,1],[1,6,3,4,1,3,3,4,3,
1,1],[1,9,4,1,3,3,4,3,1,1],[1,3,3,9,1,1,9,9,1,3,3,3,1,3,3,1],[1,3,1,3,1,3,1,3,
1,1,1,3,1,1,1,1],[1,2,1,6,1,3,1,3,1,2,2,3,1,1,1,1],[1,5,1,1,1,1,5,1,1,1,1,1],[
1,6,1,6,1,1,3,3,2,1,2,3,1,1,1,1],[1,3,1,3,1,1,3,3,1,1,1,3,1,1,1,1],[1,3,6,4,1,
3,3,4,3,1,1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,3,6,1,1,3,3,3,2,3,1,1,1,1],[1,3,3,1,
4,1,3,3,4,1,1,1],[1,5,7,3,1,3,7,9,1,1,2,1,2,3,1,1,1,2,2,1],[1,2,3,1,1,1,1,3,2,
1,1,1,1,1],[1,7,6,1,3,1,3,1,2,2,3,1,1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,1,2,4,2,
4,2,1,2,4,4,1],[1,15,1,1,5,3,1,1],[1,3,1,1,1,3,1,1],[1,5,1,1,5,1,1,1],[1,3,1,
4,8,1,3,4,1,1,2,1],[1,3,1,1,2,1,3,3,6,1,1,1,2,3,1],[1,3,5,8,1,3,4,1,1,2,1],[1,
3,1,4,8,1,3,4,1,1,2,1],[1,3,4,1,8,1,3,4,1,1,2,1],[1,3,1,4,8,1,3,4,1,1,2,1],[1,
9,2,2,9,6,6,1,1,1],[1,3,1,4,8,1,3,4,1,1,2,1],[1,1,1,1,2,3,1,1,2,1,1,3,1,1],[1,
1,1,1,2,3,1,1,2,1,1,3,1,1],[1,7,1,1,2,3,1,7,2,2,1,1,3,1,2,1],[1,1,18,1,1,2,9,
1,1,6,2,6,12,1,3,3,6,1,2,1],[1,6,1,1,1,2,3,2,1,1,2,6,1,1,3,1,2,1],[1,9,1,9,1,
1,2,9,3,1,1,3,3,6,2,3,6,1,3,3,6,1,1,1,1],[1,3,5,4,4,1,3,4,1,1,1,1,1],[1,6,9,2,
2,9,2,6,6,6,1,6,1,2,1],[1,3,3,9,1,1,2,9,1,3,3,1,3,3,6,1,3,3,1,1,1,1],[1,12,3,
1,1,2,9,4,3,3,1,6,3,1,3,3,1,1,1,1],[1,9,6,2,2,9,6,2,6,6,1,6,1,2,1],[1,3,12,1,
1,2,9,3,4,3,1,6,3,1,3,3,1,1,1,1],[1,1,5,5,5,5,5,1,5,1,1,1,1,1,1,1],[1,21,1,7,
1,3,1,1],[1,7,7,7,1,1,1,1],[1,9,5,9,1,1,1,3,1,9,15,9,3,5,3,3,3,1,3,3,3,3,1,1,
1,3,5,3,1,3,1,1,1,1,1,1,1,1],[1,3,9,7,4,3,1,3,3,3,9,9,4,4,4,1,3,3,3,3,3,3,1,4,
3,1,1,1,1],[1,5,9,9,1,1,3,1,3,7,15,9,3,1,2,3,2,3,3,3,1,3,3,3,1,1,1,1,3,1,3,2,
2,3,1,1,1,1,1,1,1,1],[1,7,9,3,4,1,3,3,3,9,9,3,4,4,4,3,1,3,3,3,3,3,1,4,3,1,1,1,
1],[1,9,1,2,4,2,4,9,6,6,2,1,2,4,4,1,6,6,1,1],[1,9,1,2,4,2,4,3,3,6,9,2,1,2,4,4,
1,3,3,6,1,1],[1,9,1,2,4,2,4,3,3,6,9,2,1,2,4,4,1,3,3,6,1,1],[1,15,10,5,6,10,6,
5,1],[1,15,10,5,6,10,6,5,1],[1,5,1,5,1,5,1,5,1,1,1,1],[1,3,5,15,1,15,1,1,5,5,
1,3,3,5,1,3,1,1,1,1],[1,5,1,15,1,5,1,5,1,3,1,1],[1,1,7,14,1,7,1,1,2,1],[1,9,3,
27,1,1,2,1,27,27,3,3,3,9,3,6,6,9,18,9,1,1,1,2,9,9,9,9,18,18,1,3,3,3,3,6,1,3,3,
1],[1,18,3,1,4,8,1,9,9,6,3,12,24,9,4,1,1,2,3,3,4,3,3,6,1,1],[1,21,5,8,1,9,9,3,
18,24,9,4,1,1,2,3,3,4,3,3,6,1,1],[1,9,1,4,8,3,1,3,9,4,3,4,3,1,1,2,3,4,1,3,1,
1],[1,6,3,1,1,2,1,3,3,2,3,3,6,6,3,1,1,1,2,1,1,3,3,3,2,1,3,1,1,1,1],[1,9,1,9,1,
1,2,3,3,9,3,1,1,3,3,6,2,3,6,9,1,1,1,3,3,3,3,6,1,1,1,3,3,1,1,1,1],[1,7,18,1,1,
2,3,3,9,1,7,6,2,2,6,12,9,1,1,1,3,3,3,3,6,1,2,2,3,3,1,1,1,1],[1,3,3,9,5,8,1,9,
9,3,1,3,12,3,4,1,1,2,3,3,4,1,3,1,1],[1,6,3,5,8,1,3,3,3,4,6,3,4,1,1,2,3,3,4,1,
3,1,1],[1,6,1,18,1,1,2,3,3,9,2,1,1,6,2,6,6,12,9,1,1,1,3,3,3,3,6,1,2,2,3,3,1,1,
1,1],[1,3,3,9,1,4,8,1,9,9,1,3,3,12,3,4,1,1,2,3,3,4,1,3,1,1],[1,9,1,4,8,1,3,3,
9,4,3,4,1,1,2,3,3,4,1,3,1,1],[1,15,7,9,1,1,2,3,21,27,5,1,7,3,3,2,6,2,3,6,6,9,
1,1,3,7,3,3,9,6,6,6,1,1,1,2,2,3,3,1,1,1,2,2,1],[1,9,3,3,1,4,8,1,9,9,3,3,1,12,
3,4,1,1,3,2,3,4,1,3,1,1],[1,3,18,1,4,8,1,9,9,3,6,12,24,9,4,3,1,1,2,3,4,3,3,6,
1,1],[1,9,1,1,2,1,3,3,3,9,2,6,3,1,1,1,2,1,1,3,3,3,2,1,3,1,1,1,1],[1,6,3,1,4,8,
1,3,3,3,4,6,3,4,1,1,2,3,3,4,1,3,1,1],[1,9,1,4,8,1,3,3,9,4,3,4,1,1,3,2,3,4,1,3,
1,1],[1,6,9,6,2,2,9,9,9,2,6,2,6,6,6,9,1,6,6,1,2,2,1,1,1,1],[1,3,3,9,4,1,8,1,9,
9,1,3,12,3,3,4,1,1,2,3,3,4,1,3,1,1],[1,3,1,5,10,8,16,1,3,3,6,5,4,8,16,16,1,1,
1,2,2,2,4,3,4,1,1,1,2,2,2,4,1],[1,18,9,1,2,4,2,4,27,6,9,6,6,12,6,18,2,1,2,4,4,
9,18,2,1,6,6,6,6,12,1,3,6,1,2,1],[1,9,18,1,2,4,2,4,27,9,6,6,6,6,12,18,2,1,2,4,
4,9,18,1,2,6,6,6,6,12,1,3,6,1,2,1],[1,9,1,2,4,2,4,9,9,6,6,2,1,2,4,4,9,1,6,6,1,
1,1,1],[1,25,10,5,15,15,6,10,20,15,6,5,10,6,5,1,1],[1,1,15,15,10,5,15,15,6,10,
10,10,5,6,6,6,5,10,6,5,1,1],[1,10,15,10,5,15,15,6,10,10,10,15,6,5,10,6,5,1,
1],[1,3,5,15,1,15,5,15,1,1,5,5,15,1,3,3,5,5,5,1,1,3,3,5,1,1,1,3,1,1,1,1],[1,
15,10,10,5,15,15,6,10,10,10,15,6,5,10,6,5,1,1],[1,21,1,7,14,7,21,1,7,3,7,1,1,
2,1,3,1,1],[1,21,9,9,1,4,8,1,3,9,3,27,27,9,7,9,3,12,4,24,12,9,3,3,9,9,9,9,4,1,
1,2,3,3,9,9,3,3,12,9,4,4,4,3,1,3,3,1,6,3,3,3,3,3,1,4,3,3,1,1,1,1],[1,15,9,27,
1,1,2,1,3,3,3,21,45,27,5,3,9,9,3,2,6,6,9,6,18,9,9,3,3,9,9,9,1,1,1,2,1,1,1,3,7,
3,9,3,9,15,9,3,6,6,18,18,9,1,3,3,2,2,3,1,1,3,3,6,3,3,3,3,3,3,3,3,3,1,1,1,1,3,
1,3,2,2,3,3,1,1,1,1,1,1,1,1],[1,9,21,9,5,8,1,9,3,9,21,27,9,3,5,18,3,24,18,9,3,
9,3,9,9,9,4,1,1,2,3,3,3,3,3,3,18,6,9,4,8,1,3,3,1,6,3,3,3,3,3,3,1,4,3,3,1,1,1,
1],[1,9,9,21,1,4,8,3,1,9,3,9,27,27,3,9,7,12,4,24,12,3,9,3,9,9,9,9,4,3,3,1,1,3,
2,9,9,3,12,9,4,4,4,1,3,3,1,3,3,3,3,3,3,6,1,4,3,3,1,1,1,1],[1,21,28,7,7,21,28,
8,21,7,7,8,7,7,1],[1,15,1,10,20,5,6,15,10,10,6,5,5,10,6,10,6,5,1,1],[1,15,1,
10,20,5,6,15,10,10,6,5,5,10,6,10,6,5,1,1],[1,18,3,1,5,10,8,16,1,9,9,6,3,3,12,
24,6,18,9,5,4,8,16,16,1,1,1,2,2,2,3,3,4,9,9,4,3,6,12,24,3,3,6,9,4,1,1,1,2,2,2,
3,3,4,4,1,3,3,6,1,1],[1,21,1,5,10,8,16,1,9,9,3,21,18,6,24,9,5,4,8,16,16,1,1,1,
2,2,2,3,3,9,4,9,4,3,18,24,3,3,6,9,4,1,1,1,2,2,2,3,3,4,4,1,3,3,6,1,1],[1,9,3,
27,1,5,10,8,16,1,27,27,3,3,3,9,3,6,6,9,36,18,9,5,4,8,16,16,1,1,1,2,2,2,4,9,9,
9,9,18,18,1,3,3,12,12,24,3,3,6,9,4,1,1,1,2,2,2,3,3,4,4,1,3,3,6,1,1],[1,18,9,
18,1,2,4,2,4,9,27,27,6,9,6,6,6,12,6,6,18,12,18,27,2,1,2,4,4,9,9,9,18,18,2,1,2,
6,6,6,6,6,6,12,12,9,1,1,3,6,3,6,1,2,2,3,1,1,1,1],[1,11,25,15,10,5,15,15,15,25,
45,15,6,10,10,20,10,20,15,5,15,15,15,15,15,6,6,6,5,10,10,10,20,20,15,6,6,6,5,
5,5,10,6,5,1,1,1,1,1],[1,45,20,20,15,15,45,36,60,60,45,10,36,15,15,10,15,15,
10,6,6,1],[1,30,15,1,10,20,5,45,45,6,10,15,30,10,60,30,45,10,6,5,5,10,15,15,
30,6,10,10,10,18,15,15,30,6,5,10,1,6,5,3,1,1],[1,3,15,45,1,10,20,5,45,45,6,1,
15,15,10,30,30,60,15,10,6,18,18,5,5,10,15,15,30,6,10,10,10,18,5,15,6,6,6,5,10,
1,6,5,3,1,1],[1,25,1,10,20,5,15,15,6,10,25,20,20,15,10,6,5,5,10,10,15,15,6,10,
20,6,5,15,6,5,10,1,6,5,1,1,1],[1,15,30,1,10,20,5,45,45,6,15,10,30,10,60,30,45,
10,6,15,5,5,10,15,30,6,10,10,10,18,15,15,30,6,5,10,1,6,5,3,1,1],[1,27,21,27,1,
5,10,8,16,1,9,9,9,63,81,27,9,3,21,9,15,18,30,6,9,24,54,18,27,9,9,9,27,27,27,5,
4,8,16,16,1,1,1,2,2,2,3,3,3,9,21,4,9,9,9,9,27,9,9,54,18,18,18,27,5,4,3,3,18,
18,24,24,48,3,3,9,3,3,3,3,6,6,6,9,9,9,9,9,9,9,9,9,9,4,1,1,1,2,2,2,3,3,3,3,3,3,
4,12,6,18,9,9,9,4,8,1,1,1,3,3,3,3,3,3,3,3,3,3,6,6,6,1,4,3,3,3,1,1,1,1],[1,21,
1,28,56,7,7,21,21,28,8,21,28,7,7,7,7,14,14,21,28,8,8,16,7,7,21,7,7,8,7,7,1,
1],[1,33,25,45,1,10,20,5,15,45,15,75,135,45,6,11,10,25,15,30,20,60,20,30,60,
60,45,15,15,45,45,45,45,10,6,18,18,5,5,10,10,15,15,25,30,30,45,15,15,60,60,60,
6,45,10,10,10,20,20,6,18,18,15,5,15,15,5,30,15,15,15,15,15,30,6,6,6,5,10,10,
10,20,20,18,15,15,1,6,6,6,5,5,5,10,1,3,3,6,5,1,3,1,1,1,1],[1,15,45,15,20,20,
15,15,45,45,45,45,45,36,20,60,20,60,60,60,15,15,45,45,45,45,45,10,36,15,15,60,
60,45,10,20,20,36,15,15,15,15,15,15,10,10,10,15,15,6,6,10,6,6,1,1],[1,45,1,20,
40,20,40,15,15,45,36,45,60,60,45,20,10,20,40,40,36,15,15,30,15,15,30,45,36,10,
60,60,15,15,45,10,36,15,10,15,10,6,6,15,15,10,6,6,1,1],[1,45,45,45,1,20,40,20,
40,15,15,135,45,135,135,135,36,15,45,15,60,60,120,60,60,180,120,180,45,45,45,
135,135,135,135,20,10,20,40,40,36,15,15,30,45,15,15,45,30,45,45,45,180,180,36,
135,20,10,20,60,60,60,60,60,60,120,120,108,45,15,15,45,15,15,90,45,45,45,45,
45,45,45,90,10,36,15,10,15,30,60,30,60,45,45,45,10,20,20,6,6,36,15,15,15,15,
15,15,30,10,10,10,18,18,15,15,6,6,10,1,6,6,3,1,1],[1,105,35,140,35,105,315,
126,105,210,420,120,315,70,126,35,35,70,105,105,105,70,126,120,105,105,105,
210,35,70,21,42,35,21,30,7,1],[1,21,105,105,35,140,35,105,105,315,105,315,315,
126,105,35,210,105,140,420,210,420,120,105,105,315,105,315,315,315,70,126,126,
126,35,35,70,105,105,105,105,105,105,105,210,210,420,120,315,70,140,140,126,
126,126,120,35,105,105,35,105,210,105,105,105,105,105,105,105,105,35,70,70,70,
126,120,105,105,105,21,42,35,35,35,70,21,21,21,42,35,30,21,7,7,1,1],[1,105,1,
35,70,140,280,35,105,315,126,105,105,210,210,420,120,315,35,70,140,280,280,
126,35,35,35,70,70,70,105,105,105,105,140,210,315,126,70,105,210,420,126,120,
120,240,105,105,105,210,315,70,126,35,35,35,70,70,70,70,105,105,105,140,70,21,
42,126,120,35,105,105,105,210,35,70,21,30,21,42,35,7,21,30,7,1,1],[1,63,105,
315,1,35,70,140,280,35,105,315,315,315,945,945,126,21,105,105,105,105,210,210,
210,315,420,420,630,630,840,1260,120,315,315,315,315,945,945,945,35,70,140,
280,280,126,378,378,35,35,35,70,70,70,105,105,105,105,105,105,140,210,315,315,
315,315,315,315,315,630,630,630,630,1260,360,126,945,35,70,105,105,140,210,
210,420,420,420,420,840,840,126,378,378,120,120,240,105,105,105,105,105,105,
105,105,210,210,210,315,315,315,315,315,315,315,315,315,315,315,315,630,70,
126,126,126,35,35,35,70,70,70,70,105,105,105,105,105,105,105,140,210,210,210,
210,420,378,120,360,315,315,315,315,70,140,140,21,42,126,126,126,120,35,35,35,
105,105,105,105,105,105,105,105,105,105,105,105,105,210,210,210,210,35,70,70,
70,21,63,63,126,126,120,105,105,105,105,30,21,42,35,35,35,70,63,7,21,21,21,42,
35,30,21,21,7,7,1,3,1,1]],
[1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,5,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,7,8,8,8,8,8,
8,8,9,9,9,9,9,10,10,10,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,14,15,16,18,18,18,18,18,18,18,18,18,18,18,18,18,20,20,
20,21,21,21,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,27,30,30,30,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
40,42,42,48,48,48,48,54,54,54,60,60,60,60,60,63,72,72,72,72,72,72,72,72,72,72,
72,72,72,72,72,72,72,72,72,72,108,108,108,108,120,120,120,120,120,126,144,144,
144,144,168,180,180,216,216,216,216,240,360,360,360,360,360,432,504,720,720,
1080,2160,2520,5040,7560,15120],
[217,202,192,149,217,208,200,183,153,208,194,150,148,150,77,77,188,210,192,
192,194,193,173,180,161,150,143,144,117,107,89,74,190,149,151,148,150,77,77,
77,208,201,183,153,154,188,145,145,208,208,208,199,198,200,192,192,194,192,
194,192,181,175,150,150,150,150,148,148,148,117,117,107,107,74,147,188,77,208,
201,192,192,183,173,173,143,144,140,144,89,90,188,145,145,190,190,160,193,191,
194,192,192,191,193,194,177,178,180,148,150,148,148,150,149,151,148,149,150,
150,150,120,201,188,188,188,208,208,208,198,200,199,201,194,192,192,192,192,
192,192,181,179,173,173,179,144,145,190,147,148,149,150,151,201,183,182,210,
207,188,188,188,190,208,208,208,194,192,192,192,193,193,192,191,191,192,194,
194,192,177,178,179,180,208,201,201,201,210,202,202,188,189,190,191,192,193,
194,209,210,207,208,208,208,201,202,213,210,210,210,207,208,209,210,211,213,
213,217,215,217,217],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,5,1,1,5,6,6,7,1,6,8,8,1,7,9,1,1,1,1,3,3,3,
3,1,1,1,1,1,1,17,17,1,1,1,10,10,10,1,6,5,11,6,1,5,10,11,1,6,1,6,5,5,1,6,6,7,7,
8,33,1,3,41,42,1,41,43,6,5,8,8,6,5,9,7,17,17,17,33,1,33,51,51,5,19,20,5,6,57,
53,52,7,5,19,3,20,6,57,10,20,11,6,3,19,62,1,76,5,17,10,1,10,10,10,10,42,11,5,
6,6,41,5,41,10,42,41,41,42,43,17,95,33,20,57,19,51,42,43,41,155,156,17,76,76,
33,41,125,127,57,20,41,80,50,51,80,49,51,41,59,132,19,53,52,79,54,10,121,121,
42,155,155,155,76,156,95,125,80,127,132,195,155,156,125,127,126,152,155,203,
196,196,155,197,181,195,196,203,203,212,214,214,214,216],
[( 1,10)( 2, 9),( 1, 5, 8, 3, 4, 7,10)( 2, 6, 9)],
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[[1],[1,2],[1,3],[1,4],[1,5],[1,6],[1,2,7],[1,4,8],[1,2,4,9],[1,2,10],[1,2,3,
11],[1,4,12],[1,2,4,13],[1,3,4,14],[1,3,15],[1,16],[1,17],[1,2,5,18],[1,3,5,
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7,9,13,26],[1,2,4,9,12,27],[1,2,3,4,9,11,14,28],[1,2,4,8,9,13,29],[1,2,3,7,10,
11,30],[1,2,4,9,10,31],[1,2,3,4,10,11,13,32],[1,4,12,33],[1,3,4,14,15,34],[1,
3,4,8,12,14,35],[1,5,6,36],[1,2,16,37],[1,4,16,38],[1,2,16,39],[1,4,17,40],[1,
2,5,7,41],[1,2,5,7,22,42],[1,2,3,5,11,18,19,20,43],[1,2,6,7,44],[1,3,6,15,21,
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18,22,23,49],[1,2,3,5,11,20,22,50],[1,2,5,10,22,51],[1,3,4,6,14,21,24,25,52],[
1,3,4,5,14,19,20,23,53],[1,4,6,8,54],[1,3,6,15,21,55],[1,5,16,56],[1,2,4,7,8,
9,13,26,29,57],[1,2,3,4,8,9,11,12,13,14,27,28,29,35,58],[1,2,4,8,9,10,13,29,
31,59],[1,2,3,4,7,9,10,11,13,14,26,28,30,31,32,60],[1,2,3,4,9,11,14,15,28,34,
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6,18,22,36,68],[1,2,7,16,39,69],[1,2,10,16,37,70],[1,2,4,13,16,38,39,71],[1,2,
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23,26,42,47,49,75],[1,2,3,5,7,10,11,20,30,41,76],[1,2,4,5,7,9,13,22,26,41,
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13,19,22,23,32,46,47,48,81],[1,2,3,4,5,10,11,13,20,22,23,32,47,50,51,82],[1,2,
3,5,7,10,11,20,22,30,42,48,50,83],[1,2,3,6,7,10,11,24,30,44,84],[1,3,4,6,8,12,
14,24,35,54,85],[1,3,4,6,14,15,21,24,25,34,45,52,55,86],[1,16,17,87],[1,4,5,
16,23,38,56,88],[1,2,5,16,22,37,56,89],[1,2,5,16,18,39,56,90],[1,2,3,4,7,8,9,
10,11,12,13,14,26,27,28,29,30,31,32,35,57,58,59,60,63,91],[1,2,3,4,8,9,11,12,
13,14,27,28,29,33,35,58,62,92],[1,2,3,4,8,9,11,12,13,14,15,27,28,29,34,35,58,
61,93],[1,2,5,6,7,22,36,41,42,44,94],[1,3,4,5,6,14,19,20,23,25,36,53,65,67,
95],[1,3,4,5,6,14,19,20,21,23,24,25,36,52,53,64,65,66,96],[1,2,4,5,6,9,18,22,
23,25,36,49,65,68,97],[1,2,3,5,6,11,18,19,20,22,24,36,43,50,64,67,68,98],[1,3,
5,6,15,19,21,36,45,55,66,99],[1,3,5,6,15,20,24,36,64,100],[1,2,3,5,6,11,18,19,
20,21,22,36,43,46,66,67,68,101],[1,2,4,7,9,13,16,26,37,38,39,69,71,72,102],[1,
2,4,9,12,16,27,37,38,39,72,73,103],[1,2,4,9,10,16,31,37,38,39,70,72,104],[1,2,
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1,2,3,4,5,7,9,10,11,13,14,20,22,26,28,30,31,32,41,50,60,76,77,107],[1,2,4,5,7,
9,10,12,13,22,26,27,31,41,48,63,77,108],[1,2,3,4,5,7,9,10,11,13,14,18,19,20,
22,23,26,28,30,31,32,42,43,46,47,48,49,50,51,53,60,75,78,79,80,81,82,83,109],[
1,4,16,17,38,40,87,110],[1,2,16,17,37,39,87,111],[1,2,5,7,16,18,37,41,112],[1,
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37,48,56,70,89,115],[1,4,6,8,17,25,40,54,116],[1,2,4,5,9,16,18,22,23,37,38,39,
49,56,72,88,89,90,117],[1,2,3,4,7,8,9,10,11,12,13,14,15,26,27,28,29,30,31,32,
33,34,35,57,58,59,60,61,62,63,91,92,93,118],[1,2,3,5,6,7,10,11,20,22,24,30,36,
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46,49,50,52,53,64,65,66,67,68,79,95,96,97,98,101,121],[1,2,3,5,6,7,10,11,19,
20,22,30,36,41,42,44,46,51,67,76,78,94,122],[1,3,4,5,6,14,15,19,20,21,23,24,
25,34,36,52,53,64,65,66,96,100,123],[1,3,4,5,6,14,15,19,20,21,23,24,25,34,36,
45,52,53,55,64,65,66,86,96,99,124],[1,2,4,7,9,10,12,13,16,26,27,31,37,38,39,
63,69,70,71,72,73,102,103,104,125],[1,2,3,4,5,7,8,9,10,11,12,13,14,20,22,26,
27,28,29,30,31,32,35,41,42,48,50,57,58,59,60,63,76,77,83,91,105,107,108,126],[
1,2,3,4,6,7,8,9,10,11,12,13,14,24,26,27,28,29,30,31,32,35,44,54,57,58,59,60,
63,84,85,91,106,127],[1,4,12,16,17,38,40,73,87,110,128],[1,2,4,9,16,17,37,38,
39,40,72,87,110,111,129],[1,4,12,16,17,38,40,73,74,87,110,130],[1,2,3,5,7,10,
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38,39,41,49,72,77,112,132],[1,2,4,5,7,9,13,16,22,26,37,38,39,41,56,69,71,72,
77,89,102,113,133],[1,2,4,5,9,10,16,18,22,23,31,37,38,39,48,49,51,56,70,72,80,
88,89,90,104,114,115,117,134],[1,3,4,6,8,12,14,17,21,24,25,35,40,52,54,74,85,
116,135],[1,2,4,5,6,7,8,9,13,22,26,29,36,41,42,44,54,57,77,94,105,106,136],[1,
2,3,4,5,6,7,9,10,11,13,14,18,19,20,22,23,24,26,28,30,31,32,36,41,42,43,44,46,
47,48,49,50,51,53,60,64,67,68,75,76,77,78,79,80,81,82,83,84,94,98,107,109,119,
120,122,137],[1,2,3,4,5,6,9,11,14,15,18,19,20,21,22,23,24,25,28,34,36,43,45,
46,49,50,52,53,55,61,64,65,66,67,68,79,86,95,96,97,98,99,100,101,121,123,124,
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38,40,73,74,87,110,130,140],[1,4,12,16,17,33,38,40,73,74,87,110,130,141],[1,2,
4,9,12,16,17,27,37,38,39,40,72,73,74,87,103,110,111,128,129,130,142],[1,2,4,5,
7,8,9,13,16,18,22,23,26,29,37,38,39,41,42,47,49,57,69,71,72,75,77,102,105,112,
132,143],[1,2,4,5,7,9,10,12,13,16,18,22,23,26,27,31,37,38,39,41,48,49,51,63,
72,73,77,80,103,108,112,132,144],[1,2,3,4,5,7,9,10,11,13,14,16,18,19,20,22,23,
26,28,30,31,32,37,38,39,41,43,46,49,50,53,60,70,72,76,77,79,104,107,112,131,
132,145],[1,2,4,5,7,9,10,12,13,16,22,26,27,31,37,38,39,41,48,56,63,69,70,71,
72,73,77,89,102,103,104,108,113,115,125,133,146],[1,2,3,4,5,6,7,8,9,10,11,12,
13,14,20,22,24,26,27,28,29,30,31,32,35,36,41,42,44,48,50,54,57,58,59,60,63,64,
76,77,83,84,85,91,94,105,106,107,108,119,126,127,136,147],[1,2,5,7,16,17,18,
37,39,41,56,69,87,90,111,112,113,148],[1,2,3,5,6,7,10,11,16,18,19,20,22,24,30,
36,37,41,42,43,44,48,50,56,64,67,68,70,76,83,84,89,94,98,112,115,119,131,139,
149],[1,2,4,5,6,7,9,13,16,18,22,23,25,26,36,37,38,39,41,42,44,47,49,56,65,68,
72,75,77,88,89,90,94,97,112,117,120,132,139,150],[1,2,3,5,6,7,10,11,16,18,19,
20,21,22,30,36,37,41,42,43,44,46,51,56,66,67,68,70,76,78,89,94,101,112,114,
122,131,139,151],[1,2,4,9,12,16,17,27,33,37,38,39,40,62,72,73,74,87,103,110,
111,128,129,130,140,141,142,152],[1,2,3,4,5,7,8,9,10,11,12,13,14,16,18,19,20,
22,23,26,27,28,29,30,31,32,35,37,38,39,41,42,43,46,47,48,49,50,51,53,57,58,59,
60,63,69,70,71,72,73,75,76,77,78,79,80,81,82,83,91,102,103,104,105,107,108,
109,112,125,126,131,132,143,144,145,153],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,
20,22,24,26,27,28,29,30,31,32,33,34,35,36,41,42,44,48,50,54,57,58,59,60,61,62,
63,64,76,77,83,84,85,91,92,93,94,100,105,106,107,108,118,119,126,127,136,147,
154],[1,2,4,5,7,9,13,16,17,18,22,23,26,37,38,39,40,41,49,56,69,71,72,77,87,88,
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22,23,26,29,36,37,38,39,41,42,44,47,49,54,56,57,68,69,71,72,75,77,89,94,102,
105,106,112,113,120,132,133,136,139,143,156],[1,2,3,4,5,6,7,9,10,11,13,14,16,
18,19,20,21,22,23,24,25,26,28,30,31,32,36,37,38,39,41,42,43,44,46,47,48,49,50,
51,52,53,56,60,64,65,66,67,68,70,72,75,76,77,78,79,80,81,82,83,84,88,89,90,94,
95,96,97,98,101,104,107,109,112,114,115,117,119,120,121,122,131,132,134,137,
139,145,149,150,151,157],[1,2,4,5,7,9,10,12,13,16,17,18,22,23,26,27,31,37,38,
39,40,41,48,49,51,56,63,69,70,71,72,73,74,77,80,87,88,89,90,102,103,104,108,
110,111,112,113,114,115,117,125,128,129,130,132,133,134,142,144,146,148,155,
158],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,18,19,20,22,23,24,26,27,28,29,30,31,
32,35,36,37,38,39,41,42,43,44,46,47,48,49,50,51,53,54,56,57,58,59,60,63,64,67,
68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,89,91,94,98,102,103,104,
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150,155,156,160],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,17,18,19,20,21,22,23,24,
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54,56,57,58,59,60,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,
83,84,85,87,88,89,90,91,94,95,96,97,98,101,102,103,104,105,106,107,108,109,
110,111,112,113,114,115,116,117,119,120,121,122,125,126,127,128,129,130,131,
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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,
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1],[1,1,1,1],[1,5,1,1],[1,3,4,1,1],[1,3,1,1,3,1],[1,3,4,1,3,1,1,1,1],[1,3,4,1,
1],[1,1,1,3,1,1],[1,1,2,1,1,2,1,1],[1,1,6,1,3,1,2,1],[1,1,1,3,1,1],[1,4,3,1,3,
1,1,1,1],[1,1,6,1,3,2,1,1],[1,1,1,1,1,1],[1,4,3,1,3,1,1,1,1],[1,4,3,1,3,1,1,1,
1],[1,3,4,1,1],[1,1,1,1,1,1],[1,1,1,1],[1,6,9,2,6,9,18,6,9,1],[1,2,4,5,2,1,4,
2,4,2,1,1,1,4,1],[1,2,5,2,1,4,4,1,2,1],[1,4,4,3,1,3,2,4,3,2,1,1,2,1,2,1],[1,2,
4,1,1,4,2,4,1,2,1],[1,2,1,1,2,1,2,1],[1,4,3,1,3,2,2,3,1,1,1,1],[1,9,2,2,6,6,1,
1],[1,9,2,2,6,6,1,1],[1,1,2,2,2,2,1,1],[1,3,2,2,3,1,1,1],[1,3,2,2,1,3,1,1],[1,
3,1,1,3,1],[1,5,5,1,1,1],[1,1,10,5,1,2,1,1],[1,6,5,5,1,1,1,1,1],[1,5,5,1,1,
1],[1,5,5,1,1,1],[1,6,9,1,1,9,9,1,3,3,3,1,3,3,1],[1,3,6,4,1,3,3,4,3,1,1],[1,4,
3,4,1,3,3,4,1,1,1],[1,3,2,1,1,1,1,2,3,1,1,1,1,1],[1,4,8,3,1,3,10,6,1,2,2,1,1,
3,2,1,1,1,2,1],[1,4,3,1,3,4,1,1,1,3,1,1,1,1],[1,1,2,6,1,3,1,3,2,1,2,3,1,1,1,
1],[1,1,6,6,1,1,3,3,2,1,2,3,1,1,1,1],[1,3,6,1,1,3,3,2,3,3,1,1,1,1],[1,3,6,4,1,
3,3,4,3,1,1],[1,6,3,4,1,3,3,4,3,1,1],[1,4,3,1,3,4,1,1,1,3,1,1,1,1],[1,2,4,1],[
1,15,1,1,5,3,1,1],[1,5,1,1,5,1,1,1],[1,3,1,1,1,3,1,1],[1,6,4,9,2,6,9,4,4,2,18,
2,6,1,1,9,4,2,4,4,1,1,1,2,2,1],[1,2,4,5,2,1,4,2,4,2,1,1,1,4,4,1,2,1],[1,2,4,5,
2,1,4,2,4,2,8,1,1,1,4,4,1,2,1],[1,3,5,8,1,3,4,1,1,2,1],[1,6,9,2,2,9,6,2,6,6,1,
6,1,2,1],[1,10,9,2,2,9,2,6,2,6,6,6,1,6,6,1,1,1,1],[1,6,9,2,2,9,2,6,6,6,1,6,1,
2,1],[1,3,12,2,2,9,1,3,7,3,6,1,3,3,1,1,1,1],[1,1,2,2,3,2,2,1,1,3,1,1],[1,9,2,
2,9,6,6,1,1,1],[1,3,4,2,2,3,1,5,1,2,3,1,1,3,1,1,1,1],[1,8,15,1,15,15,1,5,1,3,
3,1,3,3,1],[1,6,5,5,10,1,5,1,1,1,1,2,1],[1,6,5,5,10,1,5,1,1,1,2,1,1],[1,6,9,4,
2,6,9,18,12,6,9,1,4,1,3,1],[1,6,9,16,2,6,9,18,6,9,8,12,1,1],[1,4,12,3,4,1,3,6,
12,3,6,8,4,1,3,6,3,6,1,4,3,2,1,1],[1,4,3,4,1,3,6,6,3,4,1,3,3,1,4,3,1,1],[1,6,
8,9,1,1,9,4,10,9,6,1,2,2,3,3,3,3,4,3,6,1,2,1,3,1,3,1,1,2,3,1,1,1,1,1,1,1,1],[
1,25,2,4,10,20,1,1],[1,5,2,4,1,5,1,1],[1,15,10,5,6,10,6,5,1],[1,3,4,1,1,3,1,4,
1,1],[1,5,1,5,1,5,1,5,1,1,1,1],[1,5,1,15,1,5,1,5,1,3,1,1],[1,15,10,5,6,10,6,5,
1],[1,8,15,1,15,1,1,5,5,1,3,3,5,1,3,1,1,1,1],[1,6,4,9,2,6,9,4,4,2,18,2,8,6,1,
1,9,4,2,4,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,3,18,5,8,1,9,9,18,3,24,9,4,1,1,2,3,
3,4,3,3,6,1,1],[1,6,9,5,8,1,9,9,1,15,3,3,4,1,1,2,3,3,4,1,3,1,1],[1,6,16,9,2,2,
9,24,18,2,8,8,2,6,6,6,6,9,1,8,6,6,6,6,12,1,1,1,2,2,6,1,1,1,2,2,1],[1,3,6,5,8,
1,3,3,6,4,3,3,4,1,1,2,3,3,4,1,3,1,1],[1,10,9,2,2,9,18,2,6,2,6,6,6,9,1,6,6,1,1,
1,1,2,1],[1,10,9,2,2,9,6,2,6,2,6,6,6,9,1,2,6,6,6,1,1,1,6,1,2,1],[1,8,15,1,15,
10,10,15,1,5,5,5,1,3,3,5,1,2,3,3,2,1,1,1,1],[1,6,12,9,4,2,6,9,12,12,6,18,6,8,
12,6,3,3,9,12,6,12,12,1,4,4,4,1,3,3,6,6,2,3,4,3,1,1,1,1],[1,6,12,9,16,2,6,9,
12,12,6,18,6,16,6,3,3,9,12,6,12,12,8,12,1,3,3,6,6,8,4,3,1,1],[1,25,25,2,4,10,
20,10,1,1,1],[1,10,25,25,2,4,2,10,10,20,10,1,1,2,1],[1,25,25,2,4,10,20,10,20,
1,1,1],[1,15,10,10,5,15,15,6,10,10,10,15,6,5,10,6,5,1,1],[1,16,15,10,5,15,15,
6,10,10,10,5,6,6,6,5,10,6,5,1,1],[1,8,15,4,1,15,15,1,20,5,1,3,3,1,4,1,3,3,5,4,
1,1,1],[1,8,15,1,15,20,1,1,5,5,15,1,3,3,5,5,5,1,4,3,5,1,1,1,3,1,1,1,1],[1,10,
15,10,5,15,15,6,10,10,10,15,6,10,5,6,5,1,1],[1,6,9,8,32,2,6,9,18,24,6,9,16,2,
8,16,24,1,6,8,2,2,1],[1,6,24,9,5,8,1,9,12,30,9,18,1,6,22,15,3,24,3,9,12,9,18,
4,1,1,6,2,3,3,3,3,15,3,6,9,4,4,4,1,4,3,3,3,3,3,3,3,6,1,4,3,3,1,1,1,1],[1,6,16,
9,2,2,9,24,18,24,2,8,8,2,6,6,6,6,9,18,1,8,2,6,6,6,6,12,6,9,1,1,1,2,2,6,6,1,1,
1,2,2,2,2,1,1,1,1],[1,15,11,20,5,6,10,15,10,6,5,5,10,6,10,6,5,1,1],[1,25,25,2,
4,25,10,20,10,20,1,1,1,1],[1,25,25,2,4,25,10,20,10,20,1,1,1,1],[1,10,25,25,50,
2,4,25,2,10,10,20,10,20,20,1,10,1,2,1,1,1,1],[1,18,45,10,6,30,45,90,6,10,30,
30,30,45,6,18,18,5,10,30,30,5,6,18,18,10,15,6,5,1,3,1],[1,16,15,10,5,15,10,30,
15,6,10,10,10,5,15,15,6,6,6,5,10,10,10,15,6,12,5,10,6,5,1,1,1],[1,16,20,15,10,
5,15,30,40,15,30,6,10,20,20,10,10,5,15,30,15,30,6,6,6,5,20,10,10,10,20,15,12,
6,10,5,10,6,5,1,2,1,1],[1,8,15,4,1,15,30,30,15,1,20,5,15,15,1,3,3,1,20,4,15,1,
6,3,3,6,5,4,1,3,3,5,1,4,3,1,1],[1,6,36,9,8,32,2,6,9,36,36,18,18,18,48,24,96,6,
9,9,9,36,18,36,36,16,2,8,16,24,24,24,1,9,9,18,18,16,12,6,24,48,24,9,8,2,2,6,6,
8,6,6,1,1],[1,15,10,5,7,24,10,6,15,5,10,5,6,10,6,1,5,1],[1,15,30,11,20,5,45,
45,6,10,30,40,15,60,45,10,6,5,5,30,10,15,15,6,10,10,10,18,15,15,30,6,5,10,1,6,
5,3,1,1],[1,18,45,11,20,5,45,45,6,11,45,45,60,15,10,6,18,18,5,5,10,15,45,6,10,
20,18,5,15,6,6,6,5,10,1,6,5,3,1,1],[1,15,10,11,20,5,15,15,6,10,20,10,20,15,15,
10,6,5,5,10,10,15,15,6,10,10,10,6,5,15,6,5,10,1,6,5,1,1,1],[1,10,25,25,50,2,4,
25,50,2,10,10,20,25,10,20,20,1,10,1,2,1,1,1,1,1,1,1],[1,18,20,45,10,6,30,45,
40,40,30,90,30,6,10,20,20,30,30,30,15,15,45,40,30,60,60,6,18,18,5,10,20,10,30,
10,30,10,10,20,5,15,15,30,30,6,12,18,18,12,10,10,15,10,10,10,10,10,10,15,6,6,
6,5,5,5,10,1,6,5,2,3,1,1,1,1],[1,6,36,9,8,32,2,6,9,36,36,18,18,18,72,48,24,96,
6,9,9,9,36,18,36,36,36,36,16,2,8,16,24,24,24,1,9,9,18,18,18,18,16,12,6,24,48,
24,9,9,9,8,16,2,2,6,6,9,8,6,6,1,1,1],[1,20,75,10,5,75,75,7,24,10,50,50,25,7,
45,45,120,5,50,10,5,15,45,25,6,10,10,10,5,6,12,1,5,10,6,5,5,1,1],[1,18,45,14,
80,6,30,45,90,6,10,90,30,30,45,40,6,18,18,6,30,60,30,30,120,24,5,40,6,18,18,
10,30,24,30,6,10,10,1,6,10,3,6,5,4,1,1],[1,18,40,45,11,20,5,45,60,90,45,90,6,
11,50,50,20,45,45,60,60,15,45,60,45,90,10,6,18,18,5,5,50,10,45,15,15,45,45,15,
60,90,6,45,10,10,10,20,20,24,18,5,20,15,15,45,15,15,15,15,30,6,6,6,5,10,10,10,
20,20,18,15,15,1,6,6,6,5,5,10,5,4,3,6,5,1,3,1,1,1,1],[1,20,75,10,5,75,50,150,
75,7,24,10,50,50,25,75,75,7,45,45,120,5,50,50,50,10,75,5,10,15,45,90,120,25,
50,6,10,10,10,5,45,15,25,6,12,1,5,10,10,10,15,6,6,6,5,5,10,6,5,5,1,1,1],[1,18,
60,45,14,80,6,30,45,120,120,90,90,90,6,10,60,100,90,30,240,30,45,45,45,120,90,
180,180,40,6,18,18,6,30,60,60,30,30,90,30,90,30,60,120,24,5,45,45,90,90,40,40,
40,6,36,18,18,36,10,40,30,30,30,30,30,30,90,180,120,24,45,30,40,6,18,18,10,10,
30,30,30,1,6,24,30,10,10,18,30,30,6,3,6,5,10,4,1,3,3,6,5,4,3,1,1],[1,30,225,
20,200,10,150,225,450,12,144,20,300,300,600,150,225,100,12,180,180,720,10,100,
200,300,300,600,120,25,100,200,60,180,180,100,150,36,120,120,120,100,100,60,
50,50,36,72,2,60,120,120,100,36,30,60,25,20,10,12,20,12,10,1],[1,30,100,225,
20,200,10,150,225,300,300,450,450,450,12,144,20,200,200,200,300,300,600,600,
150,225,225,225,300,450,900,900,100,12,180,180,720,10,100,200,200,300,300,300,
300,300,300,600,600,600,120,25,225,225,450,450,100,100,100,200,200,60,120,180,
180,360,720,100,100,150,300,300,300,300,300,300,600,600,36,120,120,120,225,
100,100,100,100,200,200,60,180,180,50,50,150,150,300,36,72,2,60,120,120,120,
120,100,100,100,100,180,150,150,36,36,36,20,30,60,120,120,25,100,20,36,10,30,
30,60,25,12,20,20,20,30,12,10,20,12,10,1,1],[1,30,100,225,20,200,10,150,225,
300,300,450,450,450,600,12,144,20,200,200,200,300,300,600,600,150,225,225,225,
300,450,900,900,900,900,100,12,180,180,720,10,100,200,200,200,300,300,300,300,
300,300,600,600,600,600,120,25,225,225,450,450,450,450,100,100,100,200,200,60,
120,180,180,360,720,100,100,150,300,300,300,300,300,300,600,600,600,36,120,
120,120,225,225,225,100,100,100,100,200,200,200,200,60,180,180,50,50,150,150,
300,36,72,2,60,120,120,120,120,225,100,100,100,100,100,100,180,150,150,36,36,
36,20,30,60,120,120,25,100,100,20,36,36,36,10,30,30,60,25,12,20,20,20,36,30,
25,12,10,20,12,10,1,1,1]],
[1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,5,5,6,6,6,6,6,6,6,6,8,8,8,8,8,8,8,8,8,8,9,10,
10,10,10,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,15,16,16,16,16,16,16,16,
18,18,18,18,18,20,20,20,20,20,20,24,24,24,24,24,24,24,24,24,24,24,24,25,30,30,
30,32,32,32,36,36,36,36,36,36,36,36,40,40,40,48,48,48,48,48,50,50,60,60,60,60,
60,60,64,72,72,72,72,72,72,80,96,96,100,100,100,120,120,120,120,120,144,144,
144,180,200,200,200,240,240,240,240,288,300,360,360,360,400,480,576,600,720,
720,1200,1440,3600,7200,14400],
[162,153,138,118,157,124,159,127,118,109,109,92,91,93,86,158,130,157,121,121,
124,109,109,86,86,126,118,118,118,109,91,60,62,61,58,138,158,125,125,74,159,
137,121,119,124,109,109,109,109,109,109,86,79,85,86,134,154,118,118,91,93,92,
91,138,138,138,121,121,146,134,125,125,103,74,137,137,126,109,109,109,109,109,
109,84,85,86,152,134,134,134,118,118,118,137,138,138,138,121,124,123,121,146,
125,125,147,147,126,126,109,152,142,161,146,134,134,135,134,118,137,137,138,
137,138,138,125,126,127,152,152,152,157,153,146,134,135,154,137,138,157,152,
152,152,159,153,153,146,154,158,157,157,157,152,153,154,158,159,157,158,159,
162,162,162],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,5,1,5,1,1,5,6,6,1,1,1,1,2,1,2,1,1,4,1,16,
16,1,17,7,1,5,7,6,1,5,5,5,5,1,6,5,8,1,1,1,4,4,2,4,4,2,36,36,1,5,5,1,16,16,16,
16,17,5,41,7,2,5,5,22,22,22,44,54,6,1,56,16,5,9,9,9,7,36,36,36,36,6,36,5,16,
16,16,7,57,41,41,22,87,16,112,7,16,56,116,56,29,94,42,36,41,36,36,39,77,106,
87,87,87,112,112,69,56,116,57,94,65,112,87,87,87,112,112,112,113,136,112,139,
139,112,110,132,136,148,143,139,148,156,160,160,160],
[( 1, 9, 8, 7, 6, 5, 4, 2)( 3,10),( 1, 5, 8, 2, 6, 9)( 3, 4, 7,10)],
[[[[]]],[[[1,1,2,-1,1,-2,2,1,1,1]]],[[[2,2],[3,1,1,2,3,1]]],[[[1,-4]]],[[[1,2,
2,1,1,1]]],[[[1,2,2,-2]]],[[[1,2],[3,1,2,-1,3,-1,2,1,1,1,2,1,3,1]],[[1,2],[3,
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1]],[[1,2,2,-1,1,-2,2,1]]],[[[2,1,1,-1,2,1,1,2,2,1,1,1,2,1]]],[[[1,2],[3,1,2,
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2]]],[[[1,1,2,1],[1,2,3,-1,2,-1,3,1,2,-1]],[[1,1,2,-1,1,-1,2,-1,1,-2]]],[[[2,
1,1,1,2,1,1,-1,2,-2]],[[2,2],[1,2,3,2]]],[[[1,2],[3,1,2,1,3,-2,2,-1,3,-1]],[[
1,2],[3,1,2,-1,1,-1,2,-1,3,-1,2,-1]]],[[[1,2],[3,1,2,-1,3,-1,2,1,1,1,2,1,3,
1]],[[1,2],[3,1,2,-1,3,1,2,1,3,-2]],[[1,2],[2,1,1,-1,3,-1,1,1,2,-1,3,1]]],[[[
1,2],[3,1,2,-1,3,1,2,1,3,-2]],[[2,1,1,-1,2,-1,1,2,2,1]]],[[[1,2],[3,1,2,-1,3,
-1,2,1,1,1,2,1,3,1]],[[2,2],[3,1,1,2,3,1]],[[1,2],[1,1,2,-1],[3,1,4,1,3,-1,4,
-1]]],[[[1,2],[3,1,2,-1,3,-1,2,1,1,1,2,1,3,1]],[[2,1,1,1,2,1],[3,1,1,-2,3,
1]],[[1,2],[1,1,2,-1],[3,1,4,1,3,-1,4,-1]]],[[[1,2],[3,1,2,-1,3,1,2,1,3,
-2]],[[2,2],[1,2,3,2]]],[[[1,2],[1,1,2,-1],[3,1,4,1,3,-1,4,-1]],[[2,1,1,-1,2,
2]]],[[[1,2],[2,2],[3,1,4,1,3,-1,4,-1]],[[2,1,1,-1,2,2]]],[[[1,1]]],[[[1,1,2,
1],[3,1,2,1,3,1,1,-2]],[[2,2],[3,1,1,2,3,1]]],[[[1,2],[2,2],[3,1,4,1,3,-1,4,
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115],[1,2,3,6,8,26,36,41,46,116],[1,2,6,9,22,37,45,117],[1,3,4,5,7,34,38,39,
44,118],[1,2,6,8,22,41,46,119],[1,3,4,7,31,38,44,120],[1,2,8,17,41,121],[1,3,
5,7,28,39,44,122],[1,2,5,8,15,41,47,123],[1,3,7,29,44,124],[1,2,4,9,19,37,48,
125],[1,2,3,6,9,26,37,40,45,126],[1,3,5,8,28,36,42,47,127],[1,3,4,9,31,40,43,
48,128],[1,6,10,21,129],[1,5,6,8,33,42,46,47,130],[1,6,11,20,131],[1,4,6,9,27,
43,45,48,132],[1,7,35,133],[1,2,3,6,12,14,21,22,25,26,52,53,75,134],[1,2,3,6,
12,13,20,22,23,26,53,56,66,135],[1,2,3,6,12,16,22,24,26,53,60,74,136],[1,2,3,
4,5,6,13,15,19,23,26,28,30,33,34,56,57,64,73,84,137],[1,2,3,4,5,6,14,15,19,25,
26,27,30,31,34,52,58,71,73,82,138],[1,2,3,6,13,17,18,23,26,56,69,70,139],[1,2,
3,6,14,17,18,25,26,52,62,69,140],[1,2,3,4,5,6,15,19,24,26,30,32,34,60,67,73,
141],[1,2,3,6,12,22,26,29,32,53,61,67,142],[1,2,3,6,18,20,22,23,26,29,61,62,
66,143],[1,2,3,6,17,21,22,25,26,29,61,70,75,144],[1,2,3,6,13,14,16,23,24,25,
26,51,52,56,59,63,65,74,145],[1,2,3,4,6,19,20,22,23,26,27,31,32,66,67,71,90,
146],[1,2,3,6,17,18,24,26,29,60,61,69,147],[1,2,3,4,5,6,15,16,19,24,26,27,28,
31,33,64,71,74,83,88,148],[1,2,3,4,6,12,18,19,22,26,27,31,53,55,62,71,79,
149],[1,2,3,5,6,15,21,22,25,26,28,32,33,64,67,75,89,150],[1,2,3,4,5,6,15,17,
19,20,22,23,26,30,34,66,70,72,73,81,151],[1,2,3,6,14,17,25,26,32,52,67,70,
152],[1,2,3,5,6,12,15,17,22,26,28,33,53,54,64,70,81,153],[1,2,3,4,6,17,18,19,
21,22,25,26,27,31,69,71,72,75,79,154],[1,2,3,6,16,20,21,22,23,24,25,26,63,66,
74,75,86,155],[1,2,3,4,5,6,12,15,17,18,19,22,26,30,34,53,54,55,68,69,72,73,
156],[1,2,3,6,13,21,22,23,24,25,26,56,60,65,75,86,157],[1,2,3,4,6,13,19,23,26,
27,29,31,56,61,71,80,85,158],[1,2,3,4,5,6,15,16,19,24,26,29,30,34,61,73,74,77,
87,159],[1,2,3,5,6,15,17,18,20,22,23,26,28,33,64,66,68,69,81,160],[1,2,3,6,14,
20,22,23,24,25,26,52,59,60,66,86,161],[1,2,3,4,6,17,19,24,26,27,31,60,70,71,
162],[1,2,3,6,16,17,18,24,26,32,67,69,74,163],[1,2,3,6,16,17,18,24,26,62,70,
74,164],[1,2,3,5,6,15,18,24,26,28,33,60,62,64,165],[1,2,3,5,6,14,15,25,26,28,
29,33,52,61,64,76,78,166],[1,2,3,6,13,18,23,26,32,56,62,67,167],[1,2,3,4,5,6,
15,18,19,21,22,25,26,30,34,62,68,73,75,79,168],[1,3,4,5,6,16,23,25,27,28,29,
30,31,33,34,63,78,82,83,84,85,87,169],[1,3,4,5,13,14,16,28,29,31,34,51,57,58,
76,80,83,87,170],[1,3,4,5,6,13,24,25,27,28,29,30,31,34,57,65,77,78,80,82,88,
171],[1,3,4,5,6,14,23,24,28,29,30,31,33,34,58,59,76,77,84,85,88,172],[1,3,8,9,
36,40,91,173],[1,2,8,9,37,41,91,174],[1,6,8,9,45,46,91,175],[1,4,7,9,11,38,43,
50,93,176],[1,5,7,8,10,39,42,49,92,177],[1,4,8,9,43,48,91,178],[1,5,8,9,42,47,
91,179],[1,3,7,9,11,40,44,93,180],[1,3,7,8,10,36,44,92,181],[1,5,7,8,10,39,47,
92,182],[1,4,7,9,11,38,48,93,183],[1,5,8,10,11,47,49,95,184],[1,4,9,10,11,48,
50,94,185],[1,2,12,35,98,186],[1,2,6,22,35,97,98,187],[1,2,3,6,26,35,96,97,98,
188],[1,6,32,35,97,189],[1,3,29,35,96,190],[1,2,5,7,12,15,17,39,54,99,191],[1,
3,9,13,14,16,40,51,100,192],[1,2,4,7,12,18,19,38,55,99,193],[1,3,8,13,14,16,
36,51,101,194],[1,2,3,6,7,12,22,26,44,53,99,195],[1,2,3,6,8,14,25,26,41,52,
101,196],[1,2,3,6,9,13,23,26,37,56,100,197],[1,3,6,9,13,24,25,45,65,100,198],[
1,3,6,8,14,23,24,46,59,101,199],[1,2,3,6,8,12,22,26,36,41,46,53,102,116,119,
200],[1,2,4,9,12,18,19,37,43,55,103,108,109,201],[1,3,4,5,7,13,28,34,38,39,44,
57,106,118,122,202],[1,3,4,5,7,14,31,34,38,39,44,58,110,118,120,203],[1,2,5,8,
12,15,17,41,42,54,102,107,111,204],[1,2,3,6,9,12,22,26,37,40,45,53,103,117,
126,205],[1,3,4,9,13,29,31,43,80,100,206],[1,3,4,5,9,13,28,34,48,57,100,207],[
1,3,4,5,8,14,31,34,47,58,101,208],[1,3,5,8,14,28,29,42,76,101,209],[1,2,4,11,
12,18,19,50,55,105,210],[1,2,5,10,12,15,17,49,54,104,211],[1,3,4,5,7,16,29,34,
38,39,44,87,115,118,124,212],[1,2,3,6,9,18,26,37,40,45,62,109,114,126,213],[1,
2,4,9,12,18,19,37,48,55,103,114,125,214],[1,3,4,5,7,16,28,31,38,39,44,83,115,
120,122,215],[1,2,5,6,8,15,17,22,41,42,46,81,111,119,121,216],[1,2,5,8,12,15,
17,41,47,54,102,121,123,217],[1,2,5,6,8,15,17,22,41,46,47,81,107,119,123,
218],[1,2,4,6,9,18,19,22,37,45,48,79,109,117,125,219],[1,2,3,5,6,8,15,26,28,
33,36,41,42,46,47,64,111,116,123,127,130,220],[1,3,4,7,13,29,31,38,44,80,106,
120,124,221],[1,3,5,7,14,28,29,39,44,76,110,122,124,222],[1,3,7,13,14,16,44,
51,106,110,115,223],[1,2,3,6,8,17,26,36,41,46,70,107,116,121,224],[1,2,4,6,9,
18,19,22,37,43,45,79,108,114,117,225],[1,2,3,4,6,9,19,26,27,31,37,40,43,45,48,
71,108,125,126,128,132,226],[1,5,6,10,21,32,33,49,89,129,227],[1,3,5,10,14,28,
29,49,76,113,228],[1,3,4,11,13,29,31,50,80,112,229],[1,4,6,11,20,27,32,50,90,
131,230],[1,7,8,9,10,11,91,92,93,94,95,231],[1,3,7,35,44,96,133,232],[1,2,3,4,
5,6,12,14,15,17,18,19,21,22,25,26,27,30,31,34,52,53,54,55,58,62,68,69,71,72,
73,75,79,82,134,138,140,149,154,156,168,233],[1,2,3,6,12,13,14,16,20,21,22,23,
24,25,26,51,52,53,56,59,60,63,65,66,74,75,86,134,135,136,145,155,157,161,
234],[1,2,3,4,5,6,12,13,15,17,18,19,20,22,23,26,28,30,33,34,53,54,55,56,57,64,
66,68,69,70,72,73,81,84,135,137,139,151,153,156,160,235],[1,2,3,4,5,6,13,14,
15,16,19,23,24,25,26,27,28,29,30,31,33,34,51,52,56,57,58,59,61,63,64,65,71,73,
74,76,77,78,80,82,83,84,85,87,88,137,138,145,148,158,159,166,169,170,171,172,
236],[1,2,3,4,5,6,15,16,17,18,19,20,21,22,23,24,25,26,29,30,34,61,62,63,66,68,
70,72,73,74,75,77,79,81,86,87,143,144,151,155,159,164,168,237],[1,2,3,4,5,6,
15,16,17,18,19,20,21,22,23,24,25,26,27,28,31,32,33,63,64,66,67,68,69,71,72,74,
75,79,81,83,86,88,89,90,146,148,150,154,155,160,163,238],[1,2,3,4,5,6,12,15,
16,17,18,19,22,24,26,27,28,31,33,53,54,55,60,62,64,70,71,74,79,81,83,88,136,
148,149,153,162,164,165,239],[1,2,3,4,5,6,13,15,18,19,21,22,23,24,25,26,28,30,
32,33,34,56,57,60,62,64,65,67,68,73,75,79,84,86,89,137,141,150,157,165,167,
168,240],[1,2,3,4,5,6,14,15,17,19,20,22,23,24,25,26,27,30,31,32,34,52,58,59,
60,66,67,70,71,72,73,81,82,86,90,138,141,146,151,152,161,162,241],[1,2,3,4,6,
12,13,18,19,20,22,23,26,27,29,31,32,53,55,56,61,62,66,67,71,79,80,85,90,135,
142,143,146,149,158,167,242],[1,2,3,4,6,13,17,18,19,21,22,23,24,25,26,27,29,
31,56,60,61,65,69,70,71,72,75,79,80,85,86,139,144,147,154,157,158,162,243],[1,
2,3,6,13,14,16,17,18,23,24,25,26,32,51,52,56,59,62,63,65,67,69,70,74,139,140,
145,152,163,164,167,244],[1,2,3,5,6,12,14,15,17,21,22,25,26,28,29,32,33,52,53,
54,61,64,67,70,75,76,78,81,89,134,142,144,150,152,153,166,245],[1,2,3,5,6,14,
15,17,18,20,22,23,24,25,26,28,29,33,52,59,60,61,62,64,66,68,69,76,78,81,86,
140,143,147,160,161,165,166,246],[1,2,3,4,5,6,12,15,16,17,18,19,22,24,26,29,
30,32,34,53,54,55,60,61,67,68,69,72,73,74,77,87,136,141,142,147,156,159,163,
247],[1,2,8,9,12,37,41,91,102,103,174,248],[1,3,8,9,16,36,40,91,173,249],[1,2,
7,8,10,12,41,92,99,102,104,250],[1,2,7,9,11,12,37,93,99,103,105,251],[1,3,8,9,
24,36,40,91,173,252],[1,2,6,8,9,22,37,41,45,46,91,117,119,174,175,253],[1,2,3,
6,8,9,26,36,37,40,41,45,46,91,116,126,173,174,175,254],[1,2,8,10,11,12,41,95,
102,104,105,255],[1,2,9,10,11,12,37,94,103,104,105,256],[1,3,4,8,9,31,36,40,
43,48,91,128,173,178,257],[1,2,4,8,9,19,37,41,43,48,91,108,125,174,178,258],[
1,2,5,8,9,15,37,41,42,47,91,111,123,174,179,259],[1,2,8,9,18,37,41,91,109,114,
174,260],[1,3,7,9,11,13,44,93,100,106,112,261],[1,2,8,9,17,37,41,91,107,121,
174,262],[1,3,5,8,9,28,36,40,42,47,91,127,173,179,263],[1,4,6,8,9,27,43,45,46,
48,91,132,175,178,264],[1,3,7,8,10,14,44,92,101,110,113,265],[1,5,6,8,9,33,42,
45,46,47,91,130,175,179,266],[1,3,5,7,8,10,28,36,39,42,44,47,49,92,122,127,
177,181,182,267],[1,3,4,7,9,11,31,38,40,43,44,48,50,93,120,128,176,180,183,
268],[1,2,3,6,12,22,26,35,53,96,97,98,186,187,188,269],[1,2,3,6,26,29,35,61,
96,97,98,188,190,270],[1,2,3,6,26,32,35,67,96,97,98,188,189,271],[1,2,3,6,7,
12,13,20,22,23,26,44,53,56,66,99,106,135,195,272],[1,2,3,6,8,12,14,21,22,25,
26,41,52,53,75,101,102,134,196,273],[1,2,3,6,7,12,14,21,22,25,26,44,52,53,75,
99,110,134,195,274],[1,2,3,6,9,12,13,20,22,23,26,37,53,56,66,100,103,135,197,
275],[1,2,3,6,11,12,13,20,22,23,26,53,56,66,105,112,131,135,276],[1,2,3,6,10,
12,14,21,22,25,26,52,53,75,104,113,129,134,277],[1,2,3,6,8,14,20,22,23,24,25,
26,41,46,52,59,60,66,86,101,119,161,196,199,278],[1,2,3,5,6,8,14,15,25,26,28,
29,33,41,42,52,61,64,76,78,101,111,166,196,209,279],[1,2,3,6,7,12,16,22,24,26,
44,53,60,74,99,115,136,195,280],[1,2,3,4,6,9,13,19,23,26,27,29,31,37,43,56,61,
71,80,85,100,108,158,197,206,281],[1,2,3,4,6,7,12,18,19,22,26,27,31,38,44,53,
55,62,71,79,99,120,149,193,195,282],[1,2,3,6,8,13,14,16,23,24,25,26,36,41,46,
51,52,56,59,63,65,74,101,116,145,194,196,199,283],[1,2,3,4,5,6,7,12,15,17,18,
19,22,26,30,34,38,39,44,53,54,55,68,69,72,73,99,118,156,191,193,195,284],[1,2,
3,6,7,12,22,26,29,32,44,53,61,67,99,124,142,195,285],[1,2,3,5,6,7,12,15,17,22,
26,28,33,39,44,53,54,64,70,81,99,122,153,191,195,286],[1,2,3,6,8,14,17,25,26,
32,41,52,67,70,101,107,152,196,287],[1,2,3,6,9,13,17,18,23,26,37,56,69,70,100,
114,139,197,288],[1,2,3,6,9,13,21,22,23,24,25,26,37,45,56,60,65,75,86,100,117,
157,197,198,289],[1,2,3,6,8,14,17,18,25,26,41,52,62,69,101,121,140,196,290],[
1,2,3,4,5,6,8,14,15,19,25,26,27,30,31,34,41,47,52,58,71,73,82,101,123,138,196,
208,291],[1,2,3,4,5,6,9,13,15,19,23,26,28,30,33,34,37,48,56,57,64,73,84,100,
125,137,197,207,292],[1,2,3,6,9,13,14,16,23,24,25,26,37,40,45,51,52,56,59,63,
65,74,100,126,145,192,197,198,293],[1,2,3,6,9,13,18,23,26,32,37,56,62,67,100,
109,167,197,294],[1,3,4,5,9,13,14,16,28,29,31,34,40,43,48,51,57,58,76,80,83,
87,100,128,170,192,206,207,295],[1,3,4,5,8,13,14,16,28,29,31,34,36,42,47,51,
57,58,76,80,83,87,101,127,170,194,208,209,296],[1,3,4,5,6,8,14,23,24,28,29,30,
31,33,34,42,46,47,58,59,76,77,84,85,88,101,130,172,199,208,209,297],[1,3,4,5,
6,9,13,24,25,27,28,29,30,31,34,43,45,48,57,65,77,78,80,82,88,100,132,171,198,
206,207,298],[1,2,3,5,6,8,12,15,17,22,26,28,33,36,41,42,46,47,53,54,64,70,81,
102,107,111,116,119,121,123,127,130,153,200,204,216,217,218,220,224,299],[1,2,
3,4,6,9,12,18,19,22,26,27,31,37,40,43,45,48,53,55,62,71,79,103,108,109,114,
117,125,126,128,132,149,201,205,213,214,219,225,226,300],[1,3,4,5,7,13,14,16,
28,29,31,34,38,39,44,51,57,58,76,80,83,87,106,110,115,118,120,122,124,170,202,
203,212,215,221,222,223,301],[1,3,7,8,9,10,11,36,40,44,91,92,93,94,95,173,180,
181,231,302],[1,5,7,8,9,10,11,39,42,47,49,91,92,93,94,95,177,179,182,184,231,
303],[1,4,7,8,9,10,11,38,43,48,50,91,92,93,94,95,176,178,183,185,231,304],[1,
3,8,14,35,36,96,101,305],[1,3,9,13,35,40,96,100,306],[1,2,7,12,35,98,99,133,
186,307],[1,3,7,29,35,44,96,124,133,190,232,308],[1,2,3,4,5,6,12,13,14,15,16,
17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,51,52,53,54,55,56,57,58,
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,
85,86,87,88,89,90,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,
149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,
168,169,170,171,172,233,234,235,236,237,238,239,240,241,242,243,244,245,246,
247,309],[1,2,3,6,8,9,12,22,26,36,37,40,41,45,46,53,91,102,103,116,117,119,
126,173,174,175,200,205,248,253,254,310],[1,2,4,7,9,11,12,18,19,37,38,43,50,
55,93,99,103,105,108,109,176,193,201,210,251,311],[1,2,5,7,8,10,12,15,17,39,
41,42,49,54,92,99,102,104,107,111,177,191,204,211,250,312],[1,2,3,6,8,9,16,24,
26,36,37,40,41,45,46,74,91,116,126,173,174,175,249,252,254,313],[1,2,3,4,6,8,
9,19,26,27,31,36,37,40,41,43,45,46,48,71,91,108,116,125,126,128,132,173,174,
175,178,226,254,257,258,264,314],[1,2,3,6,8,9,17,26,36,37,40,41,45,46,70,91,
107,116,121,126,173,174,175,224,254,262,315],[1,2,3,6,8,9,18,26,36,37,40,41,
45,46,62,91,109,114,116,126,173,174,175,213,254,260,316],[1,2,3,6,8,9,24,26,
36,37,40,41,45,46,60,91,116,126,173,174,175,252,254,317],[1,2,3,5,6,8,9,15,26,
28,33,36,37,40,41,42,45,46,47,64,91,111,116,123,126,127,130,173,174,175,179,
220,254,259,263,266,318],[1,3,4,5,8,9,24,28,31,36,40,42,43,47,48,88,91,127,
128,173,178,179,252,257,263,319],[1,2,3,6,7,8,10,12,22,26,36,41,44,46,53,92,
99,102,104,116,119,181,195,200,250,320],[1,3,7,9,11,13,14,16,40,44,51,93,100,
106,110,112,115,180,192,223,261,321],[1,2,4,8,9,12,18,19,37,41,43,48,55,91,
102,103,108,109,114,125,174,178,201,214,248,258,260,322],[1,2,4,6,8,9,18,19,
22,37,41,43,45,46,48,79,91,108,109,114,117,119,125,174,175,178,219,225,253,
258,260,323],[1,3,4,5,8,9,16,28,31,36,40,42,43,47,48,83,91,127,128,173,178,
179,249,257,263,324],[1,3,4,7,9,11,13,29,31,38,43,44,50,80,93,100,106,112,120,
124,176,206,221,229,261,325],[1,3,4,5,7,8,10,14,31,34,38,39,44,47,58,92,101,
110,113,118,120,182,203,208,265,326],[1,3,4,5,7,9,11,13,28,34,38,39,44,48,57,
93,100,106,112,118,122,183,202,207,261,327],[1,2,4,7,9,11,12,18,19,37,38,48,
55,93,99,103,105,114,125,183,193,214,251,328],[1,3,7,8,10,13,14,16,36,44,51,
92,101,106,110,113,115,181,194,223,265,329],[1,2,5,6,8,9,15,17,22,37,41,42,45,
46,47,81,91,107,111,117,119,121,123,174,175,179,216,218,253,259,262,330],[1,2,
3,6,7,9,11,12,22,26,37,40,44,45,53,93,99,103,105,117,126,180,195,205,251,
331],[1,3,5,7,8,10,14,28,29,39,42,44,49,76,92,101,110,113,122,124,177,209,222,
228,265,332],[1,2,5,8,9,12,15,17,37,41,42,47,54,91,102,103,107,111,121,123,
174,179,204,217,248,259,262,333],[1,2,5,7,8,10,12,15,17,39,41,47,54,92,99,102,
104,121,123,182,191,217,250,334],[1,2,4,9,10,11,12,18,19,37,48,50,55,94,103,
104,105,114,125,185,210,214,256,335],[1,2,5,8,10,11,12,15,17,41,47,49,54,95,
102,104,105,121,123,184,211,217,255,336],[1,2,3,6,12,22,26,29,32,35,53,61,67,
96,97,98,142,186,187,188,189,190,269,270,271,337],[1,2,3,4,5,6,7,12,14,15,17,
18,19,21,22,25,26,27,30,31,34,38,39,44,52,53,54,55,58,62,68,69,71,72,73,75,79,
82,99,110,118,120,134,138,140,149,154,156,168,191,193,195,203,233,274,282,284,
338],[1,2,3,6,9,12,13,14,16,20,21,22,23,24,25,26,37,40,45,51,52,53,56,59,60,
63,65,66,74,75,86,100,103,117,126,134,135,136,145,155,157,161,192,197,198,205,
234,275,289,293,339],[1,2,3,4,5,6,7,12,13,15,17,18,19,20,22,23,26,28,30,33,34,
38,39,44,53,54,55,56,57,64,66,68,69,70,72,73,81,84,99,106,118,122,135,137,139,
151,153,156,160,191,193,195,202,235,272,284,286,340],[1,2,3,6,8,12,13,14,16,
20,21,22,23,24,25,26,36,41,46,51,52,53,56,59,60,63,65,66,74,75,86,101,102,116,
119,134,135,136,145,155,157,161,194,196,199,200,234,273,278,283,341],[1,2,3,5,
6,8,12,14,15,17,21,22,25,26,28,29,32,33,41,42,52,53,54,61,64,67,70,75,76,78,
81,89,101,102,107,111,134,142,144,150,152,153,166,196,204,209,245,273,279,287,
342],[1,2,3,4,5,6,8,14,15,17,19,20,22,23,24,25,26,27,30,31,32,34,41,46,47,52,
58,59,60,66,67,70,71,72,73,81,82,86,90,101,107,119,123,138,141,146,151,152,
161,162,196,199,208,218,241,278,287,291,343],[1,2,3,4,5,6,8,13,14,15,16,19,23,
24,25,26,27,28,29,30,31,33,34,36,41,42,46,47,51,52,56,57,58,59,61,63,64,65,71,
73,74,76,77,78,80,82,83,84,85,87,88,101,111,116,123,127,130,137,138,145,148,
158,159,166,169,170,171,172,194,196,199,208,209,220,236,279,283,291,296,297,
344],[1,2,3,4,6,7,12,13,18,19,20,22,23,26,27,29,31,32,38,44,53,55,56,61,62,66,
67,71,79,80,85,90,99,106,120,124,135,142,143,146,149,158,167,193,195,221,242,
272,282,285,345],[1,2,3,4,5,6,9,12,13,15,17,18,19,20,22,23,26,28,30,33,34,37,
48,53,54,55,56,57,64,66,68,69,70,72,73,81,84,100,103,114,125,135,137,139,151,
153,156,160,197,207,214,235,275,288,292,346],[1,2,3,4,5,6,8,12,14,15,17,18,19,
21,22,25,26,27,30,31,34,41,47,52,53,54,55,58,62,68,69,71,72,73,75,79,82,101,
102,121,123,134,138,140,149,154,156,168,196,208,217,233,273,290,291,347],[1,2,
3,4,5,6,9,13,14,15,16,19,23,24,25,26,27,28,29,30,31,33,34,37,40,43,45,48,51,
52,56,57,58,59,61,63,64,65,71,73,74,76,77,78,80,82,83,84,85,87,88,100,108,125,
126,128,132,137,138,145,148,158,159,166,169,170,171,172,192,197,198,206,207,
226,236,281,292,293,295,298,348],[1,2,3,4,5,6,9,13,15,18,19,21,22,23,24,25,26,
28,30,32,33,34,37,45,48,56,57,60,62,64,65,67,68,73,75,79,84,86,89,100,109,117,
125,137,141,150,157,165,167,168,197,198,207,219,240,289,292,294,349],[1,2,3,5,
6,7,12,14,15,17,21,22,25,26,28,29,32,33,39,44,52,53,54,61,64,67,70,75,76,78,
81,89,99,110,122,124,134,142,144,150,152,153,166,191,195,222,245,274,285,286,
350],[1,2,3,6,9,13,14,16,17,18,23,24,25,26,32,37,40,45,51,52,56,59,62,63,65,
67,69,70,74,100,109,114,126,139,140,145,152,163,164,167,192,197,198,213,244,
288,293,294,351],[1,2,3,6,7,12,13,14,16,20,21,22,23,24,25,26,44,51,52,53,56,
59,60,63,65,66,74,75,86,99,106,110,115,134,135,136,145,155,157,161,195,223,
234,272,274,280,352],[1,2,3,4,5,6,7,12,15,16,17,18,19,22,24,26,27,28,31,33,38,
39,44,53,54,55,60,62,64,70,71,74,79,81,83,88,99,115,120,122,136,148,149,153,
162,164,165,191,193,195,215,239,280,282,286,353],[1,2,3,4,6,9,12,13,18,19,20,
22,23,26,27,29,31,32,37,43,53,55,56,61,62,66,67,71,79,80,85,90,100,103,108,
109,135,142,143,146,149,158,167,197,201,206,242,275,281,294,354],[1,2,3,4,6,9,
13,17,18,19,21,22,23,24,25,26,27,29,31,37,43,45,56,60,61,65,69,70,71,72,75,79,
80,85,86,100,108,114,117,139,144,147,154,157,158,162,197,198,206,225,243,281,
288,289,355],[1,2,3,6,8,13,14,16,17,18,23,24,25,26,32,36,41,46,51,52,56,59,62,
63,65,67,69,70,74,101,107,116,121,139,140,145,152,163,164,167,194,196,199,224,
244,283,287,290,356],[1,2,3,5,6,8,14,15,17,18,20,22,23,24,25,26,28,29,33,41,
42,46,52,59,60,61,62,64,66,68,69,76,78,81,86,101,111,119,121,140,143,147,160,
161,165,166,196,199,209,216,246,278,279,290,357],[1,2,3,4,5,6,7,12,15,16,17,
18,19,22,24,26,29,30,32,34,38,39,44,53,54,55,60,61,67,68,69,72,73,74,77,87,99,
115,118,124,136,141,142,147,156,159,163,191,193,195,212,247,280,284,285,358],[
1,2,3,4,6,11,12,13,18,19,20,22,23,26,27,29,31,32,50,53,55,56,61,62,66,67,71,
79,80,85,90,105,112,131,135,142,143,146,149,158,167,210,229,230,242,276,359],[
1,2,3,5,6,10,12,14,15,17,21,22,25,26,28,29,32,33,49,52,53,54,61,64,67,70,75,
76,78,81,89,104,113,129,134,142,144,150,152,153,166,211,227,228,245,277,360],[
1,2,7,8,9,10,11,12,37,41,91,92,93,94,95,99,102,103,104,105,174,231,248,250,
251,255,256,361],[1,3,4,7,8,9,10,11,31,36,38,40,43,44,48,50,91,92,93,94,95,
120,128,173,176,178,180,181,183,185,231,257,268,302,304,362],[1,3,5,7,8,9,10,
11,28,36,39,40,42,44,47,49,91,92,93,94,95,122,127,173,177,179,180,181,182,184,
231,263,267,302,303,363],[1,3,7,8,9,10,11,16,36,40,44,91,92,93,94,95,115,173,
180,181,231,249,302,364],[1,2,3,6,9,13,23,26,35,37,40,45,56,96,97,98,100,126,
188,197,306,365],[1,2,3,6,8,14,25,26,35,36,41,46,52,96,97,98,101,116,188,196,
305,366],[1,2,3,6,7,12,22,26,35,44,53,96,97,98,99,133,186,187,188,195,232,269,
307,367],[1,3,4,9,13,29,31,35,40,43,48,80,96,100,128,190,206,306,368],[1,3,5,
8,14,28,29,35,36,42,47,76,96,101,127,190,209,305,369],[1,2,3,6,8,9,12,16,22,
24,26,36,37,40,41,45,46,53,60,74,91,102,103,116,117,119,126,136,173,174,175,
200,205,248,249,252,253,254,310,313,317,370],[1,2,3,6,7,9,11,12,13,20,22,23,
26,37,44,53,56,66,93,99,100,103,105,106,112,131,135,195,197,251,261,272,275,
276,371],[1,2,3,6,7,8,10,12,14,21,22,25,26,41,44,52,53,75,92,99,101,102,104,
110,113,129,134,195,196,250,265,273,274,277,372],[1,2,3,4,6,8,9,17,19,24,26,
27,31,36,37,40,41,43,45,46,48,60,70,71,91,107,108,116,121,125,126,128,132,162,
173,174,175,178,224,226,252,254,257,258,262,264,314,315,317,373],[1,2,3,5,6,8,
9,15,18,24,26,28,33,36,37,40,41,42,45,46,47,60,62,64,91,109,111,114,116,123,
126,127,130,165,173,174,175,179,213,220,252,254,259,260,263,266,316,317,318,
374],[1,2,3,4,6,8,9,12,18,19,22,26,27,31,36,37,40,41,43,45,46,48,53,55,62,71,
79,91,102,103,108,109,114,116,117,119,125,126,128,132,149,173,174,175,178,200,
201,205,213,214,219,225,226,248,253,254,257,258,260,264,300,310,314,316,322,
323,375],[1,2,3,5,6,8,9,12,15,17,22,26,28,33,36,37,40,41,42,45,46,47,53,54,64,
70,81,91,102,103,107,111,116,117,119,121,123,126,127,130,153,173,174,175,179,
200,204,205,216,217,218,220,224,248,253,254,259,262,263,266,299,310,315,318,
330,333,376],[1,2,3,6,8,9,16,17,18,24,26,36,37,40,41,45,46,62,70,74,91,107,
109,114,116,121,126,164,173,174,175,213,224,249,252,254,260,262,313,315,316,
377],[1,2,3,4,5,6,8,9,15,16,19,24,26,27,28,31,33,36,37,40,41,42,43,45,46,47,
48,64,71,74,83,88,91,108,111,116,123,125,126,127,128,130,132,148,173,174,175,
178,179,220,226,249,252,254,257,258,259,263,264,266,313,314,318,319,324,378],[
1,3,4,5,7,9,11,13,14,16,28,29,31,34,38,39,40,43,44,48,50,51,57,58,76,80,83,87,
93,100,106,110,112,115,118,120,122,124,128,170,176,180,183,192,202,203,206,
207,212,215,221,222,223,229,261,268,295,301,321,325,327,379],[1,3,4,5,7,8,10,
13,14,16,28,29,31,34,36,38,39,42,44,47,49,51,57,58,76,80,83,87,92,101,106,110,
113,115,118,120,122,124,127,170,177,181,182,194,202,203,208,209,212,215,221,
222,223,228,265,267,296,301,326,329,332,380],[1,2,3,5,6,7,8,10,12,15,17,22,26,
28,33,36,39,41,42,44,46,47,49,53,54,64,70,81,92,99,102,104,107,111,116,119,
121,122,123,127,130,153,177,181,182,191,195,200,204,211,216,217,218,220,224,
250,267,286,299,312,320,334,381],[1,2,3,4,6,7,9,11,12,18,19,22,26,27,31,37,38,
40,43,44,45,48,50,53,55,62,71,79,93,99,103,105,108,109,114,117,120,125,126,
128,132,149,176,180,183,193,195,201,205,210,213,214,219,225,226,251,268,282,
300,311,328,331,382],[1,3,7,8,10,14,35,36,44,92,96,101,110,113,133,181,232,
265,305,383],[1,3,7,9,11,13,35,40,44,93,96,100,106,112,133,180,232,261,306,
384],[1,2,3,4,5,6,8,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,
31,32,33,34,36,41,42,46,47,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,
68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,101,102,
107,111,116,119,121,123,127,130,134,135,136,137,138,139,140,141,142,143,144,
145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,
164,165,166,167,168,169,170,171,172,194,196,199,200,204,208,209,216,217,218,
220,224,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,273,278,
279,283,287,290,291,296,297,299,309,341,342,343,344,347,356,357,385],[1,2,3,4,
5,6,7,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,38,
39,44,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,
75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,99,106,110,115,118,120,122,
124,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,
152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,
171,172,191,193,195,202,203,212,215,221,222,223,233,234,235,236,237,238,239,
240,241,242,243,244,245,246,247,272,274,280,282,284,285,286,301,309,338,340,
345,350,352,353,358,386],[1,2,3,4,5,6,9,12,13,14,15,16,17,18,19,20,21,22,23,
24,25,26,27,28,29,30,31,32,33,34,37,40,43,45,48,51,52,53,54,55,56,57,58,59,60,
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,
87,88,89,90,100,103,108,109,114,117,125,126,128,132,134,135,136,137,138,139,
140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,
159,160,161,162,163,164,165,166,167,168,169,170,171,172,192,197,198,201,205,
206,207,213,214,219,225,226,233,234,235,236,237,238,239,240,241,242,243,244,
245,246,247,275,281,288,289,292,293,294,295,298,300,309,339,346,348,349,351,
354,355,387],[1,2,3,6,7,8,9,10,11,12,22,26,36,37,40,41,44,45,46,53,91,92,93,
94,95,99,102,103,104,105,116,117,119,126,173,174,175,180,181,195,200,205,231,
248,250,251,253,254,255,256,302,310,320,331,361,388],[1,2,4,7,8,9,10,11,12,18,
19,37,38,41,43,48,50,55,91,92,93,94,95,99,102,103,104,105,108,109,114,125,174,
176,178,183,185,193,201,210,214,231,248,250,251,255,256,258,260,304,311,322,
328,335,361,389],[1,2,5,7,8,9,10,11,12,15,17,37,39,41,42,47,49,54,91,92,93,94,
95,99,102,103,104,105,107,111,121,123,174,177,179,182,184,191,204,211,217,231,
248,250,251,255,256,259,262,303,312,333,334,336,361,390],[1,3,4,5,7,8,9,10,11,
16,28,31,36,38,39,40,42,43,44,47,48,49,50,83,91,92,93,94,95,115,120,122,127,
128,173,176,177,178,179,180,181,182,183,184,185,215,231,249,257,263,267,268,
302,303,304,324,362,363,364,391],[1,2,3,6,8,12,14,21,22,25,26,35,36,41,46,52,
53,75,96,97,98,101,102,116,119,134,186,187,188,196,200,269,273,305,366,392],[
1,2,3,6,9,12,13,20,22,23,26,35,37,40,45,53,56,66,96,97,98,100,103,117,126,135,
186,187,188,197,205,269,275,306,365,393],[1,2,3,5,6,8,14,15,25,26,28,29,33,35,
36,41,42,46,47,52,61,64,76,78,96,97,98,101,111,116,123,127,130,166,188,190,
196,209,220,270,279,305,366,369,394],[1,2,3,4,6,9,13,19,23,26,27,29,31,35,37,
40,43,45,48,56,61,71,80,85,96,97,98,100,108,125,126,128,132,158,188,190,197,
206,226,270,281,306,365,368,395],[1,2,3,6,9,13,18,23,26,32,35,37,40,45,56,62,
67,96,97,98,100,109,114,126,167,188,189,197,213,271,294,306,365,396],[1,2,3,6,
8,14,17,25,26,32,35,36,41,46,52,67,70,96,97,98,101,107,116,121,152,188,189,
196,224,271,287,305,366,397],[1,2,3,6,7,12,22,26,29,32,35,44,53,61,67,96,97,
98,99,124,133,142,186,187,188,189,190,195,232,269,270,271,285,307,308,337,367,
398],[1,2,3,4,5,6,7,8,10,12,14,15,17,18,19,21,22,25,26,27,30,31,34,38,39,41,
44,47,52,53,54,55,58,62,68,69,71,72,73,75,79,82,92,99,101,102,104,110,113,118,
120,121,123,129,134,138,140,149,154,156,168,182,191,193,195,196,203,208,217,
233,250,265,273,274,277,282,284,290,291,326,334,338,347,372,399],[1,2,3,4,5,6,
7,9,11,12,13,15,17,18,19,20,22,23,26,28,30,33,34,37,38,39,44,48,53,54,55,56,
57,64,66,68,69,70,72,73,81,84,93,99,100,103,105,106,112,114,118,122,125,131,
135,137,139,151,153,156,160,183,191,193,195,197,202,207,214,235,251,261,272,
275,276,284,286,288,292,327,328,340,346,371,400],[1,2,3,6,7,8,10,12,13,14,16,
20,21,22,23,24,25,26,36,41,44,46,51,52,53,56,59,60,63,65,66,74,75,86,92,99,
101,102,104,106,110,113,115,116,119,129,134,135,136,145,155,157,161,181,194,
195,196,199,200,223,234,250,265,272,273,274,277,278,280,283,320,329,341,352,
372,401],[1,2,3,5,6,7,8,10,12,14,15,17,21,22,25,26,28,29,32,33,39,41,42,44,49,
52,53,54,61,64,67,70,75,76,78,81,89,92,99,101,102,104,107,110,111,113,122,124,
129,134,142,144,150,152,153,166,177,191,195,196,204,209,211,222,227,228,245,
250,265,273,274,277,279,285,286,287,312,332,342,350,360,372,402],[1,2,3,6,7,9,
11,12,13,14,16,20,21,22,23,24,25,26,37,40,44,45,51,52,53,56,59,60,63,65,66,74,
75,86,93,99,100,103,105,106,110,112,115,117,126,131,134,135,136,145,155,157,
161,180,192,195,197,198,205,223,234,251,261,272,274,275,276,280,289,293,321,
331,339,352,371,403],[1,2,3,4,6,7,9,11,12,13,18,19,20,22,23,26,27,29,31,32,37,
38,43,44,50,53,55,56,61,62,66,67,71,79,80,85,90,93,99,100,103,105,106,108,109,
112,120,124,131,135,142,143,146,149,158,167,176,193,195,197,201,206,210,221,
229,230,242,251,261,272,275,276,281,282,285,294,311,325,345,354,359,371,404],[
1,2,3,4,5,6,8,9,12,15,16,17,18,19,22,24,26,27,28,31,33,36,37,40,41,42,43,45,
46,47,48,53,54,55,60,62,64,70,71,74,79,81,83,88,91,102,103,107,108,109,111,
114,116,117,119,121,123,125,126,127,128,130,132,136,148,149,153,162,164,165,
173,174,175,178,179,200,201,204,205,213,214,216,217,218,219,220,224,225,226,
239,248,249,252,253,254,257,258,259,260,262,263,264,266,299,300,310,313,314,
315,316,317,318,319,322,323,324,330,333,370,373,374,375,376,377,378,405],[1,3,
8,9,13,14,16,35,36,40,51,91,96,100,101,173,192,194,249,305,306,406],[1,3,4,7,
9,11,13,29,31,35,38,40,43,44,48,50,80,93,96,100,106,112,120,124,128,133,176,
180,183,190,206,221,229,232,261,268,306,308,325,368,384,407],[1,3,5,7,8,10,14,
28,29,35,36,39,42,44,47,49,76,92,96,101,110,113,122,124,127,133,177,181,182,
190,209,222,228,232,265,267,305,308,332,369,383,408],[1,2,3,4,6,7,8,9,10,11,
12,18,19,22,26,27,31,36,37,38,40,41,43,44,45,46,48,50,53,55,62,71,79,91,92,93,
94,95,99,102,103,104,105,108,109,114,116,117,119,120,125,126,128,132,149,173,
174,175,176,178,180,181,183,185,193,195,200,201,205,210,213,214,219,225,226,
231,248,250,251,253,254,255,256,257,258,260,264,268,282,300,302,304,310,311,
314,316,320,322,323,328,331,335,361,362,375,382,388,389,409],[1,2,3,5,6,7,8,9,
10,11,12,15,17,22,26,28,33,36,37,39,40,41,42,44,45,46,47,49,53,54,64,70,81,91,
92,93,94,95,99,102,103,104,105,107,111,116,117,119,121,122,123,126,127,130,
153,173,174,175,177,179,180,181,182,184,191,195,200,204,205,211,216,217,218,
220,224,231,248,250,251,253,254,255,256,259,262,263,266,267,286,299,302,303,
310,312,315,318,320,330,331,333,334,336,361,363,376,381,388,390,410],[1,2,3,6,
7,8,9,10,11,12,16,22,24,26,36,37,40,41,44,45,46,53,60,74,91,92,93,94,95,99,
102,103,104,105,115,116,117,119,126,136,173,174,175,180,181,195,200,205,231,
248,249,250,251,252,253,254,255,256,280,302,310,313,317,320,331,361,364,370,
388,411],[1,2,3,4,6,9,12,13,18,19,20,22,23,26,27,29,31,32,35,37,40,43,45,48,
53,55,56,61,62,66,67,71,79,80,85,90,96,97,98,100,103,108,109,114,117,125,126,
128,132,135,142,143,146,149,158,167,186,187,188,189,190,197,201,205,206,213,
214,219,225,226,242,269,270,271,275,281,294,300,306,337,354,365,368,393,395,
396,412],[1,2,3,5,6,8,12,14,15,17,21,22,25,26,28,29,32,33,35,36,41,42,46,47,
52,53,54,61,64,67,70,75,76,78,81,89,96,97,98,101,102,107,111,116,119,121,123,
127,130,134,142,144,150,152,153,166,186,187,188,189,190,196,200,204,209,216,
217,218,220,224,245,269,270,271,273,279,287,299,305,337,342,366,369,392,394,
397,413],[1,2,3,4,5,6,7,9,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,
28,29,30,31,32,33,34,37,38,39,40,43,44,45,48,50,51,52,53,54,55,56,57,58,59,60,
61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,
87,88,89,90,93,99,100,103,105,106,108,109,110,112,114,115,117,118,120,122,124,
125,126,128,131,132,134,135,136,137,138,139,140,141,142,143,144,145,146,147,
148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,
167,168,169,170,171,172,176,180,183,191,192,193,195,197,198,201,202,203,205,
206,207,210,212,213,214,215,219,221,222,223,225,226,229,230,233,234,235,236,
237,238,239,240,241,242,243,244,245,246,247,251,261,268,272,274,275,276,280,
281,282,284,285,286,288,289,292,293,294,295,298,300,301,309,311,321,325,327,
328,331,338,339,340,345,346,348,349,350,351,352,353,354,355,358,359,371,379,
382,386,387,400,403,404,414],[1,2,3,4,5,6,7,8,10,12,13,14,15,16,17,18,19,20,
21,22,23,24,25,26,27,28,29,30,31,32,33,34,36,38,39,41,42,44,46,47,49,51,52,53,
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,
80,81,82,83,84,85,86,87,88,89,90,92,99,101,102,104,106,107,110,111,113,115,
116,118,119,120,121,122,123,124,127,129,130,134,135,136,137,138,139,140,141,
142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,
161,162,163,164,165,166,167,168,169,170,171,172,177,181,182,191,193,194,195,
196,199,200,202,203,204,208,209,211,212,215,216,217,218,220,221,222,223,224,
227,228,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,250,265,
267,272,273,274,277,278,279,280,282,283,284,285,286,287,290,291,296,297,299,
301,309,312,320,326,329,332,334,338,340,341,342,343,344,345,347,350,352,353,
356,357,358,360,372,380,381,385,386,399,401,402,415],[1,2,3,6,8,9,13,14,16,23,
24,25,26,35,36,37,40,41,45,46,51,52,56,59,63,65,74,91,96,97,98,100,101,116,
126,145,173,174,175,188,192,194,196,197,198,199,249,252,254,283,293,305,306,
313,365,366,406,416],[1,2,3,6,7,8,10,12,14,21,22,25,26,35,36,41,44,46,52,53,
75,92,96,97,98,99,101,102,104,110,113,116,119,129,133,134,181,186,187,188,195,
196,200,232,250,265,269,273,274,277,305,307,320,366,367,372,383,392,417],[1,2,
3,6,7,9,11,12,13,20,22,23,26,35,37,40,44,45,53,56,66,93,96,97,98,99,100,103,
105,106,112,117,126,131,133,135,180,186,187,188,195,197,205,232,251,261,269,
272,275,276,306,307,331,365,367,371,384,393,418],[1,3,4,5,8,9,13,14,16,28,29,
31,34,35,36,40,42,43,47,48,51,57,58,76,80,83,87,91,96,100,101,127,128,170,173,
178,179,190,192,194,206,207,208,209,249,257,263,295,296,305,306,324,368,369,
406,419],[1,2,3,4,5,6,7,8,9,10,11,12,15,16,17,18,19,22,24,26,27,28,31,33,36,
37,38,39,40,41,42,43,44,45,46,47,48,49,50,53,54,55,60,62,64,70,71,74,79,81,83,
88,91,92,93,94,95,99,102,103,104,105,107,108,109,111,114,115,116,117,119,120,
121,122,123,125,126,127,128,130,132,136,148,149,153,162,164,165,173,174,175,
176,177,178,179,180,181,182,183,184,185,191,193,195,200,201,204,205,210,211,
213,214,215,216,217,218,219,220,224,225,226,231,239,248,249,250,251,252,253,
254,255,256,257,258,259,260,262,263,264,266,267,268,280,282,286,299,300,302,
303,304,310,311,312,313,314,315,316,317,318,319,320,322,323,324,328,330,331,
333,334,335,336,353,361,362,363,364,370,373,374,375,376,377,378,381,382,388,
389,390,391,405,409,410,411,420],[1,3,7,8,9,10,11,13,14,16,35,36,40,44,51,91,
92,93,94,95,96,100,101,106,110,112,113,115,133,173,180,181,192,194,223,231,
232,249,261,265,302,305,306,321,329,364,383,384,406,421],[1,2,3,6,8,9,12,13,
14,16,20,21,22,23,24,25,26,35,36,37,40,41,45,46,51,52,53,56,59,60,63,65,66,74,
75,86,91,96,97,98,100,101,102,103,116,117,119,126,134,135,136,145,155,157,161,
173,174,175,186,187,188,192,194,196,197,198,199,200,205,234,248,249,252,253,
254,269,273,275,278,283,289,293,305,306,310,313,317,339,341,365,366,370,392,
393,406,416,422],[1,2,3,6,8,9,13,14,16,17,18,23,24,25,26,32,35,36,37,40,41,45,
46,51,52,56,59,62,63,65,67,69,70,74,91,96,97,98,100,101,107,109,114,116,121,
126,139,140,145,152,163,164,167,173,174,175,188,189,192,194,196,197,198,199,
213,224,244,249,252,254,260,262,271,283,287,288,290,293,294,305,306,313,315,
316,351,356,365,366,377,396,397,406,416,423],[1,2,3,4,5,6,8,9,13,14,15,16,19,
23,24,25,26,27,28,29,30,31,33,34,35,36,37,40,41,42,43,45,46,47,48,51,52,56,57,
58,59,61,63,64,65,71,73,74,76,77,78,80,82,83,84,85,87,88,91,96,97,98,100,101,
108,111,116,123,125,126,127,128,130,132,137,138,145,148,158,159,166,169,170,
171,172,173,174,175,178,179,188,190,192,194,196,197,198,199,206,207,208,209,
220,226,236,249,252,254,257,258,259,263,264,266,270,279,281,283,291,292,293,
295,296,297,298,305,306,313,314,318,319,324,344,348,365,366,368,369,378,394,
395,406,416,419,424],[1,2,3,4,6,7,9,11,12,13,18,19,20,22,23,26,27,29,31,32,35,
37,38,40,43,44,45,48,50,53,55,56,61,62,66,67,71,79,80,85,90,93,96,97,98,99,
100,103,105,106,108,109,112,114,117,120,124,125,126,128,131,132,133,135,142,
143,146,149,158,167,176,180,183,186,187,188,189,190,193,195,197,201,205,206,
210,213,214,219,221,225,226,229,230,232,242,251,261,268,269,270,271,272,275,
276,281,282,285,294,300,306,307,308,311,325,328,331,337,345,354,359,365,367,
368,371,382,384,393,395,396,398,404,407,412,418,425],[1,2,3,5,6,7,8,10,12,14,
15,17,21,22,25,26,28,29,32,33,35,36,39,41,42,44,46,47,49,52,53,54,61,64,67,70,
75,76,78,81,89,92,96,97,98,99,101,102,104,107,110,111,113,116,119,121,122,123,
124,127,129,130,133,134,142,144,150,152,153,166,177,181,182,186,187,188,189,
190,191,195,196,200,204,209,211,216,217,218,220,222,224,227,228,232,245,250,
265,267,269,270,271,273,274,277,279,285,286,287,299,305,307,308,312,320,332,
334,337,342,350,360,366,367,369,372,381,383,392,394,397,398,402,408,413,417,
426],[1,3,4,5,7,8,9,10,11,13,14,16,28,29,31,34,35,36,38,39,40,42,43,44,47,48,
49,50,51,57,58,76,80,83,87,91,92,93,94,95,96,100,101,106,110,112,113,115,118,
120,122,124,127,128,133,170,173,176,177,178,179,180,181,182,183,184,185,190,
192,194,202,203,206,207,208,209,212,215,221,222,223,228,229,231,232,249,257,
261,263,265,267,268,295,296,301,302,303,304,305,306,308,321,324,325,326,327,
329,332,362,363,364,368,369,379,380,383,384,391,406,407,408,419,421,427],[1,2,
3,4,5,6,8,9,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,
34,35,36,37,40,41,42,43,45,46,47,48,51,52,53,54,55,56,57,58,59,60,61,62,63,64,
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,
91,96,97,98,100,101,102,103,107,108,109,111,114,116,117,119,121,123,125,126,
127,128,130,132,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,
149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,
168,169,170,171,172,173,174,175,178,179,186,187,188,189,190,192,194,196,197,
198,199,200,201,204,205,206,207,208,209,213,214,216,217,218,219,220,224,225,
226,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,
253,254,257,258,259,260,262,263,264,266,269,270,271,273,275,278,279,281,283,
287,288,289,290,291,292,293,294,295,296,297,298,299,300,305,306,309,310,313,
314,315,316,317,318,319,322,323,324,330,333,337,339,341,342,343,344,346,347,
348,349,351,354,355,356,357,365,366,368,369,370,373,374,375,376,377,378,385,
387,392,393,394,395,396,397,405,406,412,413,416,419,422,423,424,428],[1,2,3,6,
7,8,9,10,11,12,13,14,16,20,21,22,23,24,25,26,35,36,37,40,41,44,45,46,51,52,53,
56,59,60,63,65,66,74,75,86,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,
106,110,112,113,115,116,117,119,126,129,131,133,134,135,136,145,155,157,161,
173,174,175,180,181,186,187,188,192,194,195,196,197,198,199,200,205,223,231,
232,234,248,249,250,251,252,253,254,255,256,261,265,269,272,273,274,275,276,
277,278,280,283,289,293,302,305,306,307,310,313,317,320,321,329,331,339,341,
352,361,364,365,366,367,370,371,372,383,384,388,392,393,401,403,406,411,416,
417,418,421,422,429],[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]],
0,
[[1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,3,1],[1,3,
1],[1,3,1],[1,1,2,1],[1,1,1],[1,1,1],[1,1,1],[1,1,2,1],[1,3,1],[1,3,1],[1,1,2,
1],[1,1,2,1],[1,1,1],[1,1,2,1],[1,1,1,1,1],[1,2,1,1],[1,1,2,1],[1,1,1],[1,1,1,
1,1],[1,1,2,1],[1,1,1],[1,2,1,1],[1,1,1,1,1],[1,1],[1,3,1,1],[1,1,1,1],[1,3,1,
1],[1,3,1,1],[1,3,1,1],[1,1,1,1],[1,3,1,1],[1,3,1,1],[1,1,1,1],[1,3,1,1],[1,3,
1,1],[1,1,1,1],[1,1,1,1],[1,3,1,1],[1,3,1,1],[1,5,1,1,1,1],[1,1,3,3,1,3,3,1],[
1,3,1,3,1,3,3,1],[1,3,2,1,1,1,1],[1,3,2,1,1,1,1],[1,1,3,3,1,3,3,1],[1,3,1,3,1,
3,3,1],[1,3,3,1,1,3,3,1],[1,3,2,1,1,1,1],[1,1,1,1,2,1,1],[1,1,1,1,1,2,1],[1,1,
1,1,2,1,1],[1,1,4,1,1,1,1],[1,1,1,4,1,2,1,2,2,1],[1,3,2,1,1,1,1],[1,1,1,5,2,2,
2,1,1],[1,1,1,1,1,2,1],[1,1,2,2,1,1,1,1],[1,1,1,1,1,1,1,1],[1,1,1,1,2,1,1],[1,
1,1,4,1,2,1,2,2,1],[1,1,2,2,1,1,1,1],[1,1,1,2,2,1,1,1,1,2,2,1],[1,1,1,1,1,1,1,
1],[1,1,1,5,2,2,2,1,1],[1,3,2,1,1,1,1],[1,1,1,1,1,1,1,1],[1,1,2,2,1,1,1,1],[1,
1,2,2,1,1,1,1],[1,3,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,3,1,2,1,2,2,1,1,1],[1,1,
2,2,1,1,1,1],[1,1,1,3,2,1,1,2,2,1,1],[1,1,2,2,1,1,1,1],[1,1,4,1,1,1,1],[1,1,1,
1,1,1,1,1],[1,1,2,2,1,1,1,1],[1,2,3,1,1,1,1],[1,2,3,1,1,1,1],[1,2,2,1],[1,1,1,
2,1],[1,1,1,2,1],[1,1,2,1,1],[1,1,1,2,1],[1,5,1,1],[1,5,1,1],[1,1,1,1],[1,3,4,
1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,1,1,3,1],[1,3,1,1,3,1],[1,3,4,1,1],[1,3,4,1,
1],[1,3,1,1,3,1],[1,1,1,3,1,1],[1,1,6,1,3,1,2,1],[1,1,1,3,1,1],[1,3,1,1,3,1],[
1,1,6,1,3,1,2,1],[1,3,4,1,1],[1,3,4,1,1],[1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,3,3,
1,3,1,1,1,1],[1,1,6,1,3,1,2,1],[1,1,3,3,1,3,1,1,1,1],[1,1,6,1,3,1,2,1],[1,1,6,
1,3,2,1,1],[1,1,1,1,1,1],[1,1,6,1,3,2,1,1],[1,1,2,1,1,1,2,1],[1,1,1,3,1,1],[1,
1,2,1,1,1,2,1],[1,1,3,3,1,3,1,1,1,1],[1,3,4,1,3,1,1,1,1],[1,3,4,1,3,1,1,1,1],[
1,3,4,1,1],[1,4,3,1,3,1,1,1,1],[1,3,4,1,1],[1,4,3,1,3,1,1,1,1],[1,1,1,1],[1,3,
3,9,1,1,6,9,9,9,3,3,9,1],[1,3,3,9,1,1,6,9,9,9,3,3,9,1],[1,3,1,3,1,1,3,3,3,1,3,
3,1],[1,1,3,2,6,3,1,3,1,3,3,6,6,6,6,1,2,3,3,6,1],[1,1,3,6,2,3,1,1,3,3,3,6,6,6,
6,1,2,3,3,6,1],[1,1,3,3,1,3,1,3,3,1,3,3,1],[1,1,3,3,1,1,3,3,3,1,3,3,1],[1,1,1,
2,2,1,1,1,2,1,2,2,2,1,1,1,1],[1,3,1,3,1,3,3,2,2,1,1,1,1],[1,1,1,5,2,2,2,2,1,2,
1,1,1,1],[1,1,1,5,2,2,2,2,1,2,1,1,1,1],[1,1,5,5,1,1,1,3,1,3,5,1,1,1,1,1,1,1,
1],[1,1,1,4,5,2,2,2,2,1,2,2,2,1,1,1,4,1],[1,1,1,1,1,1,2,1,2,1,1,1,1],[1,1,1,4,
4,1,2,1,2,1,1,2,2,2,2,1,1,1,2,2,1],[1,3,1,4,3,1,2,2,3,3,2,2,1,2,1,1,2,1],[1,1,
1,4,5,2,2,2,2,1,2,2,2,1,1,1,4,1],[1,1,1,2,2,5,1,2,1,2,2,2,1,2,2,1,1,2,1,2,1],[
1,1,3,3,1,2,3,3,2,1,1,1,1],[1,3,1,4,3,1,2,2,3,3,2,2,1,2,1,1,2,1],[1,1,1,4,5,1,
1,2,2,2,2,1,2,2,1,1,2,1,2,1],[1,1,1,9,1,2,2,4,2,1,2,1,2,1,1,1,2,1],[1,3,1,2,2,
3,1,1,1,1,1,3,3,2,2,1,1,1,1,1,1,1,1],[1,1,3,7,1,2,2,3,2,2,3,1,1,2,1,2,1],[1,1,
3,4,3,1,2,3,3,2,2,2,1,1,1,2,2,1],[1,1,1,2,2,1,1,1,1,1,1,2,2,2,1,1,1,2,2,1],[1,
1,1,4,5,2,1,1,2,2,2,1,2,2,1,1,2,1,2,1],[1,1,3,7,1,2,2,2,2,3,3,1,2,1,1,2,1],[1,
1,1,4,1,2,2,2,1,2,2,1,1,1,1],[1,1,1,1,1,1,1,1,1,2,1,1,1,1],[1,1,1,1,1,2,2,1,1,
1,1,1,1],[1,1,1,4,1,2,2,2,1,2,2,1,1,1,1],[1,1,3,4,3,1,2,3,3,2,2,2,1,1,1,2,2,
1],[1,1,3,3,1,2,3,3,2,1,1,1,1],[1,1,1,2,2,5,1,2,1,2,2,2,1,2,2,1,2,1,1,2,1],[1,
1,3,3,4,1,1,1,2,1,1,4,1,2,1,1,1,1,1,1,1,1,1],[1,5,3,3,1,1,1,3,1,3,5,1,1,1,1,1,
1,1,1],[1,3,3,3,2,1,1,1,2,3,1,2,1,3,1,1,1,1,1,1,1,1],[1,3,3,3,2,1,1,1,1,1,2,3,
2,3,1,1,1,1,1,1,1,1],[1,9,2,2,6,6,1,1],[1,1,2,2,2,2,1,1],[1,9,2,2,6,6,1,1],[1,
9,1,1,2,3,3,6,1,1],[1,9,1,1,2,3,3,6,1,1],[1,3,2,2,1,3,1,1],[1,3,2,2,1,3,1,1],[
1,3,1,1,2,1,3,1,1],[1,3,1,1,2,1,3,1,1],[1,3,1,1,2,1,3,1,1],[1,3,1,1,2,1,3,1,
1],[1,3,1,1,2,3,1,1,1],[1,3,1,2,1,3,1,1,1],[1,3,1,1,3,1],[1,1,10,5,1,2,1,1],[
1,1,5,5,5,1,1,1,1,1],[1,5,5,1,1,1],[1,5,5,1,1,1],[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],[1,9,4,3,1,3,4,3,1,1],[1,3,1,3,4,1,3,
3,4,1,1,1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,3,6,4,1,3,3,
4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,3,9,1,1,9,9,1,3,3,3,1,3,3,1],[1,3,6,1,1,
3,3,3,2,3,1,1,1,1],[1,3,3,9,1,1,9,9,1,3,3,3,1,3,3,1],[1,3,9,3,1,1,9,9,3,1,3,3,
1,3,3,1],[1,3,6,1,1,3,3,3,2,3,1,1,1,1],[1,3,3,9,1,1,9,9,3,1,3,3,1,3,3,1],[1,3,
6,4,1,3,3,4,3,1,1],[1,3,1,3,4,1,3,3,4,1,1,1],[1,3,3,1,4,1,3,3,4,1,1,1],[1,3,6,
4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,1,3,3,1,1,
3,3,1,1,1,3,1,1,1,1],[1,1,3,3,1,4,3,1,1,1,3,1,1,1,1],[1,3,2,1,1,1,1,3,2,1,1,1,
1,1],[1,1,6,6,1,1,3,3,2,2,1,3,1,1,1,1],[1,1,6,6,1,3,1,3,1,2,2,3,1,1,1,1],[1,3,
2,1,1,1,1,3,2,1,1,1,1,1],[1,1,2,6,1,1,3,3,1,2,2,3,1,1,1,1],[1,1,2,6,1,3,1,3,1,
2,2,3,1,1,1,1],[1,1,3,8,3,1,4,3,6,6,1,1,2,1,2,3,1,1,1,2,2,1],[1,3,6,1,1,3,3,2,
3,3,1,1,1,1],[1,3,6,1,1,3,3,2,3,3,1,1,1,1],[1,5,1,1,1,1,5,1,1,1,1,1],[1,1,3,3,
1,4,3,1,1,1,3,1,1,1,1],[1,1,6,6,1,1,3,3,1,2,2,3,1,1,1,1],[1,1,3,8,3,1,4,3,6,6,
1,1,2,1,2,3,1,1,1,2,2,1],[1,6,3,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,
6,4,1,3,3,4,3,1,1],[1,6,3,4,1,3,3,4,3,1,1],[1,1,2,2,4,4,1,2,2,4,4,1],[1,5,1,1,
5,1,1,1],[1,3,3,6,2,9,1,1,1,1,3,3,6,9,9,9,6,6,6,6,3,3,1,3,2,3,3,3,3,3,3,9,6,6,
1,1,1,3,3,3,3,1],[1,3,5,15,1,1,1,1,6,6,15,9,3,9,15,1,3,5,3,3,3,3,3,9,3,9,6,1,
1,1,3,3,3,3,1],[1,3,3,2,6,9,1,1,3,3,1,1,6,9,9,9,6,6,6,6,3,3,1,3,2,3,9,3,3,3,3,
3,6,6,1,1,1,3,3,3,3,1],[1,1,5,6,6,5,1,1,3,1,3,3,1,3,5,6,6,2,10,6,6,10,1,1,1,2,
2,1,1,1,3,1,3,5,1,2,2,2,2,6,2,6,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,1,2,2,9,1,
1,2,2,1,2,2,4,2,1,2,1,2,2,2,1,1,2,1,2,1,2,1,1,1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,
1,1,4,4,9,2,1,1,1,2,2,2,4,2,1,2,1,2,2,2,2,2,2,1,1,1,2,1,1,2,1,1,2,2,2,2,2,4,4,
1,1,1,1,1,1,1,1],[1,3,1,4,4,3,1,2,1,2,2,2,3,3,3,2,2,2,2,1,2,2,3,1,1,1,1,3,2,2,
2,2,1,1,1,1,1,1,1,1],[1,1,3,2,6,7,1,3,2,1,2,2,3,2,2,3,6,6,2,6,6,1,2,1,1,3,2,1,
2,3,1,2,6,2,4,1,1,1,1,1,1,1,1],[1,1,3,6,2,7,1,1,2,3,2,2,2,2,3,3,6,6,6,2,6,1,2,
2,1,1,1,1,3,2,3,2,6,2,4,1,1,1,1,1,1,1,1],[1,3,3,4,9,1,1,2,2,6,9,9,9,2,2,2,2,3,
2,3,1,1,9,1,1,2,2,2,4,1,1,1,1,1,1,1,1],[1,1,3,4,7,1,3,1,2,2,2,3,2,2,3,2,2,2,1,
1,1,2,3,3,1,2,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,5,5,1,1,1,3,3,3,1,3,5,2,1,1,1,1,
3,1,1,1,5,3,1,1,1,1,1,1,1,1,1],[1,3,3,4,9,1,1,2,2,6,9,9,9,2,2,2,2,3,3,2,1,1,1,
1,9,2,2,2,4,1,1,1,1,1,1,1,1],[1,1,3,4,7,1,2,1,3,2,2,2,2,3,3,2,2,2,1,2,1,1,3,1,
1,2,3,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,1,2,2,3,1,1,1,1,1,1,3,3,3,2,2,2,2,1,1,1,3,
1,1,1,1,1,1,3,2,2,1,1,1,1,1,1,1,1],[1,3,2,2,1,6,6,1,2,2,3,1],[1,9,2,2,9,6,6,1,
1,1],[1,3,4,1,8,1,3,4,1,1,2,1],[1,3,4,1,8,1,3,4,1,1,2,1],[1,9,2,2,9,6,6,1,1,
1],[1,1,18,2,2,9,2,2,12,12,1,6,6,1,2,1],[1,1,9,9,2,2,9,6,2,6,2,6,6,1,6,6,1,1,
1,1],[1,3,1,4,8,1,3,4,1,1,2,1],[1,3,1,8,4,1,3,4,1,2,1,1],[1,9,6,2,2,9,6,6,2,6,
1,6,1,2,1],[1,1,6,2,2,3,2,2,2,6,1,1,3,1,2,1],[1,1,6,2,2,3,2,2,2,6,1,1,3,1,2,
1],[1,1,2,2,3,2,2,1,1,3,1,1],[1,3,1,4,8,1,3,4,1,1,2,1],[1,1,2,2,3,2,2,1,1,3,1,
1],[1,9,6,2,2,9,6,6,2,6,1,6,1,2,1],[1,6,9,2,2,9,2,6,6,6,1,6,1,2,1],[1,3,1,4,8,
1,3,4,1,1,2,1],[1,6,9,2,2,9,2,6,6,6,1,6,1,2,1],[1,3,12,1,1,2,9,1,4,3,3,3,6,1,
3,3,1,1,1,1],[1,3,12,1,1,2,9,4,1,3,3,3,6,1,3,3,1,1,1,1],[1,3,5,15,1,15,15,1,5,
1,3,3,1,3,3,1],[1,1,5,5,5,10,1,5,1,1,1,1,2,1],[1,1,5,5,5,10,1,5,1,1,1,1,2,1],[
1,3,3,9,4,1,1,6,9,9,9,12,3,3,9,1,4,1,3,1],[1,3,3,9,4,1,1,6,9,9,9,12,3,3,9,1,4,
1,3,1],[1,3,3,9,4,1,1,6,9,9,9,12,3,3,9,1,4,1,3,1],[1,3,3,9,4,1,1,6,9,9,9,12,3,
3,9,1,4,1,3,1],[1,3,3,9,16,1,1,6,9,9,9,3,3,9,4,4,12,1,1],[1,3,3,9,16,1,1,6,9,
9,9,3,3,9,4,4,12,1,1],[1,1,3,15,4,1,6,6,6,6,3,3,4,8,1,6,3,3,6,1,4,3,1,2,1],[1,
1,3,12,3,4,1,6,3,3,6,6,6,4,8,1,3,3,6,6,1,4,3,1,2,1],[1,3,1,3,4,1,1,3,3,3,4,1,
3,3,1,4,1,1,1],[1,1,3,12,3,4,1,6,3,3,6,6,6,4,8,1,3,3,6,6,1,4,3,1,2,1],[1,3,1,
12,3,4,1,6,6,3,3,6,6,8,4,1,6,3,3,6,1,4,3,2,1,1],[1,1,9,9,4,3,1,3,9,3,3,9,4,4,
4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,3,1,6,6,3,4,1,3,3,3,3,3,3,6,6,4,4,4,1,3,3,3,
3,3,3,1,4,3,1,1,1,1],[1,3,1,3,4,1,3,3,6,6,4,1,3,3,1,4,3,1,1],[1,3,1,12,3,4,1,
6,6,3,3,6,6,8,4,1,6,3,3,6,1,4,3,2,1,1],[1,1,3,3,4,1,6,3,3,6,4,1,3,3,1,4,3,1,
1],[1,1,3,3,4,1,3,1,3,3,4,1,3,3,1,4,1,1,1],[1,1,3,15,4,1,6,6,3,6,6,3,4,8,1,3,
6,3,6,1,4,3,1,2,1],[1,1,3,3,4,1,1,3,3,3,4,1,3,3,1,4,1,1,1],[1,1,3,6,2,3,4,1,1,
3,3,3,6,6,6,6,4,8,1,2,3,3,6,1,4,1,1,2,1],[1,1,3,2,6,3,4,1,3,1,3,3,6,6,6,6,4,8,
1,2,3,3,6,1,4,1,1,2,1],[1,1,9,9,4,1,3,3,3,3,9,9,4,4,4,3,3,1,3,3,3,3,1,4,3,1,1,
1,1],[1,1,3,3,4,1,6,3,3,6,4,1,3,3,1,4,3,1,1],[1,9,7,3,4,1,3,3,3,3,9,9,4,4,4,3,
1,3,3,3,3,3,1,4,3,1,1,1,1],[1,9,3,7,4,3,1,3,9,3,3,9,4,4,4,3,3,1,3,3,3,3,1,4,3,
1,1,1,1],[1,3,3,7,6,4,1,3,3,3,3,6,3,6,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,
3,7,3,6,4,1,3,3,6,3,3,6,3,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,3,3,8,9,1,1,
4,4,9,9,6,6,1,3,2,3,2,3,4,3,3,6,1,1,1,3,3,1,1,2,2,3,1,1,1,1,1,1,1,1],[1,3,3,8,
9,1,1,4,4,9,9,6,6,3,1,2,3,2,3,4,3,3,6,1,1,1,1,3,1,3,2,2,3,1,1,1,1,1,1,1,1],[1,
5,9,9,1,1,1,1,9,3,9,15,3,3,5,1,3,3,3,3,3,3,1,1,1,5,3,3,1,3,1,1,1,1,1,1,1,1],[
1,9,1,2,2,4,4,6,6,9,1,2,2,4,4,1,6,6,1,1],[1,9,1,2,2,4,4,3,3,9,6,1,2,2,4,4,1,3,
3,6,1,1],[1,9,1,2,2,4,4,3,3,9,6,1,2,2,4,4,1,3,3,6,1,1],[1,15,10,5,6,10,6,5,
1],[1,15,10,5,6,10,6,5,1],[1,3,4,1,1,3,1,4,1,1],[1,5,1,15,1,5,1,5,1,3,1,1],[1,
3,5,6,6,15,1,1,1,3,1,3,3,3,6,6,15,9,3,9,15,6,6,2,10,6,2,6,10,1,3,5,3,3,3,2,2,
3,3,1,3,3,3,3,9,1,5,5,3,3,5,5,3,9,2,2,2,6,2,6,6,2,6,2,6,2,2,4,4,1,1,1,1,1,1,1,
1,1,1,1,3,1,1,1,3,1,3,1,3,3,3,5,3,1,1,3,3,1,1,1,1,1,1,3,2,2,2,2,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1],[1,3,9,27,2,2,1,27,27,6,6,6,6,18,18,9,1,2,2,18,18,18,18,1,
3,3,6,6,1,3,3,1],[1,3,18,4,1,8,1,9,9,3,12,6,24,9,4,1,1,2,3,3,4,3,3,6,1,1],[1,
3,18,4,1,8,1,9,9,12,3,6,24,9,4,1,1,2,3,3,4,3,3,6,1,1],[1,1,9,9,2,2,9,9,9,6,2,
6,2,6,6,9,1,6,6,1,1,1,1,1,1,1],[1,1,9,12,9,2,2,6,9,18,18,6,2,6,2,4,6,6,12,9,1,
2,6,6,6,12,12,1,1,1,4,6,1,2,2,2,1],[1,1,9,9,2,2,6,9,6,2,6,2,6,6,9,1,2,6,6,6,1,
1,1,6,1,2,1],[1,1,9,9,2,2,6,9,6,2,6,2,6,6,9,1,2,6,6,6,1,1,1,6,1,2,1],[1,1,9,9,
2,2,18,9,6,2,6,2,6,6,9,1,6,6,1,1,1,2,1,1],[1,1,9,12,9,2,2,6,9,18,18,6,2,6,2,4,
6,6,12,9,1,2,6,6,6,12,12,1,1,1,4,6,1,2,2,2,1],[1,9,6,6,2,2,9,9,9,6,6,2,2,6,6,
9,1,6,6,1,2,2,1,1,1,1],[1,3,3,9,4,1,8,1,9,9,1,3,12,3,3,4,1,1,2,3,3,4,3,1,1,
1],[1,9,1,4,8,1,3,3,4,9,3,4,1,1,3,2,3,4,1,3,1,1],[1,3,6,2,2,1,3,3,6,6,2,6,3,1,
2,2,1,1,3,3,3,2,1,3,1,1,1,1],[1,1,6,18,2,2,3,3,9,2,2,2,12,12,6,9,1,1,1,3,6,6,
3,1,2,2,3,3,1,1,1,1],[1,9,6,6,2,2,9,9,9,6,6,2,2,6,6,9,1,6,6,1,2,2,1,1,1,1],[1,
3,18,1,4,8,1,9,9,6,12,3,24,9,4,1,1,2,3,3,4,3,3,6,1,1],[1,3,9,3,1,4,8,1,9,9,3,
1,3,12,3,4,1,1,2,3,3,4,1,3,1,1],[1,3,3,9,1,4,8,1,9,9,1,3,3,12,3,4,1,1,2,3,3,4,
1,3,1,1],[1,3,6,4,1,8,1,3,3,3,4,6,3,4,1,1,2,3,3,4,1,3,1,1],[1,9,1,4,8,3,1,3,4,
9,3,4,1,3,1,2,3,4,1,3,1,1],[1,1,6,18,2,2,3,3,9,2,2,2,12,12,6,9,1,1,1,6,6,3,3,
1,2,2,3,3,1,1,1,1],[1,3,3,9,4,1,8,1,9,9,3,1,12,3,3,4,1,1,2,3,3,4,3,1,1,1],[1,
3,18,1,4,8,1,9,9,6,12,3,24,9,4,1,1,2,3,3,4,3,3,6,1,1],[1,3,6,2,2,1,3,3,6,6,2,
6,3,1,2,2,1,1,3,3,3,2,1,3,1,1,1,1],[1,3,6,4,1,8,1,3,3,4,3,6,3,4,1,1,2,3,3,4,1,
3,1,1],[1,3,6,1,8,4,1,3,3,3,6,4,3,4,1,2,1,3,3,4,1,3,1,1],[1,3,6,1,4,8,1,3,3,3,
6,4,3,4,1,1,2,3,3,4,1,3,1,1],[1,3,5,15,1,15,15,10,10,1,5,5,5,1,3,3,5,1,3,3,2,
2,1,1,1,1],[1,3,3,18,6,9,4,1,1,3,3,9,9,6,9,9,9,18,18,18,18,12,4,12,3,3,3,9,6,
9,9,9,9,9,9,9,18,18,1,4,12,12,1,3,3,9,9,9,9,1,3,3,4,3,1,3,3,1],[1,3,9,27,4,1,
1,3,3,6,18,27,9,9,27,27,12,4,12,3,9,9,3,9,9,9,9,9,9,27,18,1,4,12,12,3,1,3,9,9,
9,9,1,3,3,4,3,1,3,3,1],[1,3,3,6,18,9,4,1,1,9,9,3,3,6,9,9,9,18,18,18,18,4,12,
12,3,9,3,3,6,9,9,9,9,9,9,9,18,18,1,4,12,12,1,3,3,9,9,9,9,3,1,3,4,3,1,3,3,1],[
1,3,9,27,4,1,3,1,3,18,6,27,27,9,9,27,4,12,12,3,3,9,9,9,9,9,9,27,9,9,18,1,4,12,
12,1,3,3,9,9,9,9,1,3,3,4,3,1,3,3,1],[1,3,3,12,9,4,1,1,6,6,6,9,9,9,6,6,6,6,12,
8,3,3,6,3,3,3,3,9,6,6,6,12,1,4,4,4,1,3,3,3,3,3,3,3,4,2,3,1,1,1,1],[1,1,3,6,2,
15,4,1,1,6,3,6,6,6,6,3,3,6,6,6,6,6,4,8,8,1,2,6,3,3,3,3,3,6,3,6,6,6,12,1,4,4,4,
1,3,3,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,1,9,6,14,9,4,3,1,7,3,3,9,3,3,9,6,18,6,18,
6,18,18,4,4,8,4,8,3,1,3,6,2,3,3,3,9,3,3,9,3,6,6,6,6,6,6,18,6,6,6,1,4,4,4,8,8,
3,1,3,3,3,3,3,6,6,6,6,1,1,1,2,2,4,3,1,1,1,2,2,1],[1,3,3,12,9,4,1,1,6,6,6,9,9,
9,6,6,6,6,8,12,3,6,3,3,3,9,3,3,6,6,6,12,1,4,4,4,1,3,3,3,3,3,3,2,3,4,3,1,1,1,
1],[1,3,3,2,6,9,4,1,1,3,3,1,1,6,9,9,9,6,6,6,6,12,8,3,3,1,3,2,3,9,3,3,3,3,3,6,
6,1,4,4,4,1,1,1,3,3,3,3,3,2,4,1,1,1,1,1],[1,3,3,6,2,9,4,1,1,1,1,3,3,6,9,9,9,6,
6,6,6,12,8,3,3,1,3,2,3,3,3,3,3,3,9,6,6,1,4,4,4,1,1,1,3,3,3,3,3,2,4,1,1,1,1,
1],[1,1,9,14,6,9,4,1,3,3,3,7,3,3,9,9,18,6,6,18,18,6,18,4,4,8,4,8,3,3,1,2,6,3,
3,3,3,3,9,9,3,6,6,6,6,18,6,6,6,6,6,1,4,4,4,8,8,1,3,3,3,3,3,3,6,6,6,6,1,1,1,2,
2,4,3,1,1,1,2,2,1],[1,1,3,2,6,15,4,1,3,6,1,6,6,3,6,6,3,6,6,6,6,6,4,8,8,1,2,3,
3,3,6,3,6,3,3,6,6,6,12,1,4,4,4,1,3,3,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,3,3,12,9,4,
1,1,6,6,6,9,9,9,6,6,6,6,8,12,3,3,6,3,3,3,3,9,6,6,6,12,1,4,4,4,1,3,3,3,3,3,3,2,
3,4,3,1,1,1,1],[1,1,9,9,4,1,3,3,3,7,3,3,9,9,6,4,4,4,3,3,1,3,9,3,3,3,9,3,3,1,4,
4,4,1,3,3,3,3,3,3,1,1,1,4,3,1,1,1,1],[1,3,5,15,4,1,1,1,1,6,6,15,9,3,9,15,20,1,
3,5,3,3,3,3,3,9,3,9,6,1,4,4,4,1,1,1,3,3,3,3,5,4,1,1,1,1,1],[1,3,1,12,12,3,4,1,
6,1,6,6,6,3,3,3,6,6,6,6,8,8,4,1,6,6,3,3,3,3,3,3,6,6,6,6,1,4,4,4,1,3,3,3,3,3,3,
2,2,1,4,3,1,1,1,1],[1,3,3,12,9,4,1,1,6,6,6,9,9,9,6,6,6,6,12,8,3,6,3,3,3,9,3,3,
6,6,6,12,1,4,4,4,1,3,3,3,3,3,3,3,4,2,3,1,1,1,1],[1,1,3,12,15,4,1,3,1,6,6,6,3,
6,6,3,6,6,6,4,8,8,1,3,3,6,3,3,3,6,3,6,6,6,6,1,4,4,4,1,3,3,3,3,3,3,1,2,2,4,3,1,
1,1,1],[1,1,9,9,4,3,1,3,7,3,9,3,3,9,6,4,4,4,3,1,3,3,3,3,3,3,9,9,3,1,4,4,4,3,1,
3,3,3,3,3,1,1,1,4,3,1,1,1,1],[1,1,3,12,15,4,1,6,1,3,6,6,6,6,3,3,6,6,6,4,8,8,1,
6,3,3,3,3,3,6,3,6,6,6,6,1,4,4,4,1,3,3,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,3,1,6,6,3,
4,1,3,1,3,3,3,3,3,3,6,6,6,6,4,4,4,1,3,3,3,3,3,3,3,3,3,3,6,6,1,4,4,4,1,3,3,3,3,
3,3,1,1,1,4,3,1,1,1,1],[1,3,3,12,9,16,1,1,6,6,6,9,9,9,6,6,6,6,16,3,6,3,3,3,9,
3,3,6,6,6,12,4,4,12,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,3,3,12,9,16,1,1,6,6,6,9,9,9,
6,6,6,6,16,3,3,6,3,3,3,3,9,6,6,6,12,4,4,12,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,3,4,
2,2,16,16,1,6,6,1,8,8,16,16,1,2,2,4,4,3,4,1,2,2,4,4,1],[1,9,18,1,2,2,4,4,27,6,
6,6,6,9,18,12,1,2,2,4,4,9,18,1,2,6,6,6,6,12,1,3,6,1,2,1],[1,9,18,1,2,2,4,4,27,
6,6,6,6,9,18,12,1,2,2,4,4,9,18,1,2,6,6,6,6,12,1,3,6,1,2,1],[1,9,1,2,2,4,4,9,6,
6,9,1,2,2,4,4,9,1,6,6,1,1,1,1],[1,1,15,15,10,5,15,15,6,10,10,10,5,6,6,6,5,10,
6,5,1,1],[1,1,15,15,10,5,15,15,6,10,10,10,5,6,6,6,5,10,6,5,1,1],[1,3,5,15,4,1,
15,15,1,20,5,1,3,3,1,4,1,3,3,5,4,1,1,1],[1,15,10,10,5,15,15,6,10,10,10,15,6,5,
10,6,5,1,1],[1,15,10,10,5,15,15,6,10,10,10,15,6,5,10,6,5,1,1],[1,3,9,27,2,2,1,
9,27,27,27,6,6,6,6,18,18,9,27,27,1,2,2,18,18,18,18,9,1,3,3,6,6,1,1,3,3,3,1,3,
3,1],[1,3,3,9,4,4,32,1,1,6,9,9,9,12,12,3,3,9,16,1,1,4,8,4,8,24,1,3,3,4,4,1,1,
2,1],[1,3,3,9,4,4,32,1,1,6,9,9,9,12,12,3,3,9,16,1,1,4,8,4,8,24,1,3,3,4,4,1,1,
2,1],[1,1,9,12,9,2,2,6,6,18,9,18,18,6,2,6,2,4,6,6,12,9,9,9,1,2,2,6,6,6,6,12,
12,9,1,1,1,4,6,6,2,1,2,2,2,2,1,1,1,1],[1,1,9,12,9,2,2,6,6,18,9,18,18,6,2,6,2,
4,6,6,12,9,9,9,1,2,2,6,6,6,6,12,12,9,1,1,1,4,6,6,2,1,2,2,2,2,1,1,1,1],[1,3,9,
12,27,2,2,1,6,6,27,27,18,18,6,6,6,6,4,18,18,12,9,6,9,9,18,1,2,2,2,2,6,18,18,
18,6,18,12,12,9,1,3,3,4,6,2,6,6,6,6,6,6,1,3,3,2,2,2,2,6,1,1,1,2,2,1],[1,3,9,
12,27,2,2,1,6,6,27,27,18,18,6,6,6,6,4,18,18,12,9,6,9,9,18,1,2,2,2,2,18,18,18,
6,6,18,12,12,9,1,3,3,4,6,2,6,6,6,6,6,6,1,3,3,2,2,2,2,6,1,1,1,2,2,1],[1,1,9,9,
2,2,9,6,6,9,9,6,2,6,2,6,6,9,9,9,1,2,2,6,6,6,6,9,1,1,1,6,6,1,1,1,2,2,1,1,1,1],[
1,1,9,12,12,9,2,2,6,9,6,9,9,18,18,18,18,6,2,6,2,4,4,6,6,12,12,9,9,9,18,18,1,2,
2,6,6,6,6,12,12,12,12,9,1,1,1,4,4,6,6,1,1,1,2,2,2,2,2,2,1,1,1,2,2,1],[1,9,21,
9,1,4,8,1,3,3,9,9,27,27,7,3,4,12,9,12,24,3,3,9,9,9,9,9,4,1,1,3,2,3,9,9,3,3,12,
9,4,4,4,1,1,3,3,3,3,3,3,3,3,6,1,4,3,3,1,1,1,1],[1,9,9,21,1,4,8,3,1,3,27,9,9,
27,4,3,7,12,9,12,24,3,9,3,9,9,9,9,4,1,3,1,2,3,9,3,9,3,12,9,4,4,4,1,3,1,3,3,3,
3,3,3,3,6,1,4,3,3,1,1,1,1],[1,3,3,24,9,4,1,8,1,12,12,9,9,18,18,1,16,3,6,12,3,
6,24,3,12,9,9,18,4,1,1,2,3,3,3,3,3,12,3,6,6,9,4,4,4,4,3,1,3,6,3,3,3,3,3,1,4,3,
3,1,1,1,1],[1,3,3,24,9,4,1,8,1,12,12,9,9,18,18,3,16,1,6,12,3,6,24,3,12,9,9,18,
4,1,1,2,3,3,3,3,12,3,3,6,6,9,4,4,4,4,3,3,1,6,3,3,3,3,3,1,4,3,3,1,1,1,1],[1,15,
1,10,20,5,6,10,15,10,6,5,5,10,6,10,6,5,1,1],[1,15,1,10,20,5,6,10,15,10,6,5,5,
10,6,10,6,5,1,1],[1,3,9,6,14,27,4,1,3,1,7,3,7,3,3,18,6,27,27,9,9,27,6,18,6,18,
6,6,18,18,4,12,8,12,8,3,3,9,7,3,9,6,2,9,9,3,3,9,9,9,27,3,9,9,9,3,9,9,9,9,6,6,
6,6,6,18,6,6,18,6,18,6,6,12,12,1,4,4,4,12,12,4,4,8,8,1,3,3,3,1,3,1,3,3,3,3,9,
3,3,3,3,3,9,3,9,3,9,9,9,3,3,9,9,3,3,3,3,3,3,3,6,6,6,6,1,3,3,4,4,2,2,4,4,4,4,4,
1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,3,1,3,1,1,1,2,2,4,3,1,1,1,1,1,1,1,1],[1,3,5,
18,18,15,4,1,1,1,9,1,9,9,9,6,6,15,9,3,9,15,18,18,6,30,18,6,18,30,12,12,20,1,3,
5,9,9,3,6,6,3,3,3,9,3,9,3,9,3,15,15,9,9,15,15,3,9,6,6,6,18,6,18,18,6,18,6,6,6,
6,12,12,1,4,4,4,20,12,12,4,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,9,3,9,3,9,9,3,15,3,3,
3,9,3,3,3,3,3,3,3,9,6,6,6,6,3,3,5,4,4,4,4,4,4,4,3,1,3,3,3,3,3,3,3,3,3,3,3,3,3,
1,1,1,3,5,1,3,4,3,1,1,1,1,1,1,1,1],[1,3,9,14,6,27,4,1,1,3,3,3,3,7,7,6,18,27,9,
9,27,27,18,6,6,18,18,6,6,18,12,4,8,12,8,3,9,9,3,7,3,2,6,9,9,3,9,9,3,9,9,3,9,9,
3,9,9,9,9,27,6,6,6,18,6,6,18,6,6,6,18,6,6,12,12,1,4,4,4,4,12,4,12,8,8,3,1,3,1,
3,1,3,3,3,3,3,9,3,3,3,9,3,3,3,3,9,9,9,9,3,3,3,9,3,3,3,3,3,3,9,6,6,6,6,1,3,3,4,
4,2,2,4,4,4,4,4,3,3,1,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,3,1,3,1,2,2,4,3,1,1,1,1,1,
1,1,1],[1,3,9,27,4,2,2,16,16,1,27,27,6,6,6,6,36,18,18,9,1,8,8,16,16,1,2,2,4,4,
18,18,18,18,1,3,3,24,24,9,6,6,4,1,2,2,3,3,4,4,4,1,6,6,1,1],[1,3,18,4,2,2,16,
16,1,9,9,6,12,6,6,18,24,9,1,8,8,16,16,1,2,2,4,4,3,3,9,9,3,4,6,12,24,3,3,6,9,4,
1,2,2,4,4,3,3,4,1,3,3,6,1,1],[1,3,18,4,2,2,16,16,1,9,9,6,12,6,6,18,24,9,1,8,8,
16,16,1,2,2,4,4,3,3,9,9,3,4,6,12,24,3,3,6,9,4,1,2,2,4,4,3,3,4,1,3,3,6,1,1],[1,
9,18,18,1,2,2,4,4,9,27,27,6,6,6,6,6,6,9,18,18,12,12,27,1,2,2,4,4,9,9,9,18,18,
1,2,2,6,6,6,6,6,6,12,12,9,1,1,3,3,6,6,1,2,2,3,1,1,1,1],[1,3,15,45,10,1,5,30,
45,45,45,6,10,30,30,15,15,45,6,18,18,5,10,30,30,5,6,18,18,15,10,6,5,1,3,1],[1,
3,15,45,10,1,5,30,45,45,45,6,30,10,30,15,15,45,6,18,18,5,10,30,30,5,6,18,18,
15,10,6,5,1,3,1],[1,1,15,20,15,10,5,10,15,15,30,30,30,6,10,10,20,10,20,5,15,
15,30,30,6,6,6,5,10,10,10,20,20,15,6,12,5,10,10,6,5,1,1,2,1],[1,1,15,20,15,10,
5,10,15,15,30,30,30,6,10,10,20,10,20,5,15,15,30,30,6,6,6,5,10,10,10,20,20,15,
6,12,5,10,10,6,5,1,1,2,1],[1,1,15,15,10,5,10,15,15,30,6,10,10,10,5,15,15,6,6,
6,5,10,10,10,15,6,12,5,10,6,5,1,1,1],[1,1,15,15,10,5,10,15,15,30,6,10,10,10,5,
15,15,6,6,6,5,10,10,10,15,6,12,5,10,6,5,1,1,1],[1,3,5,15,4,1,15,15,30,30,1,20,
5,15,15,1,3,3,1,20,4,15,1,3,3,6,6,5,4,1,3,3,5,1,4,3,1,1],[1,3,3,18,6,9,4,4,32,
1,1,3,3,9,9,6,9,9,9,18,18,18,18,12,4,12,12,24,3,3,3,9,6,9,9,9,9,9,9,9,18,18,
16,1,1,4,8,4,8,12,12,12,12,24,1,3,3,9,9,9,9,16,1,3,3,3,4,6,12,3,4,4,1,1,2,3,3,
3,3,4,4,1,3,1,1],[1,3,3,6,18,9,4,4,32,1,1,9,9,3,3,6,9,9,9,18,18,18,18,12,4,12,
12,24,3,9,3,3,6,9,9,9,9,9,9,9,18,18,16,1,1,4,8,4,8,12,12,12,12,24,1,3,3,9,9,9,
9,16,3,1,3,3,4,6,12,3,4,4,1,1,2,3,3,3,3,4,4,1,3,1,1],[1,3,9,27,4,4,32,1,3,1,3,
18,6,27,27,9,9,27,4,12,36,12,3,3,9,9,9,9,9,9,27,9,9,18,16,1,1,4,8,12,4,8,12,
12,12,24,1,3,3,9,9,9,9,16,1,9,3,3,4,12,3,4,4,3,1,1,2,3,3,3,4,4,1,3,1,1],[1,3,
3,36,9,4,4,32,1,1,18,18,6,9,9,9,18,18,18,18,24,12,24,12,96,3,3,18,9,9,9,9,9,
18,18,18,36,16,1,1,4,8,12,4,12,8,12,12,24,1,9,9,9,9,9,9,16,6,3,3,12,6,24,12,
24,24,9,4,4,1,1,2,3,3,3,3,4,4,3,3,6,1,1],[1,3,9,27,4,4,32,1,1,3,3,6,18,27,9,9,
27,27,12,4,36,12,3,9,9,3,9,9,9,9,9,9,27,18,16,1,1,4,8,4,12,8,12,12,12,24,3,1,
3,9,9,9,9,16,1,9,3,3,4,12,3,4,4,1,3,1,2,3,3,3,4,4,1,3,1,1],[1,3,3,36,9,4,4,32,
1,1,18,18,6,9,9,9,18,18,18,18,12,24,24,12,96,3,18,3,9,9,9,9,9,18,18,18,36,16,
1,1,4,8,4,12,12,8,12,12,24,1,9,9,9,9,9,9,16,6,3,3,12,6,24,12,24,24,9,4,4,1,1,
2,3,3,3,3,4,4,3,3,6,1,1],[1,3,9,12,12,27,2,2,1,6,9,6,6,6,27,27,27,18,18,18,18,
6,6,6,6,4,4,18,18,12,12,9,6,6,27,9,9,9,9,27,18,18,18,18,1,2,2,2,2,2,2,6,18,18,
18,6,6,6,18,12,12,12,12,9,9,9,9,9,9,9,1,3,3,4,4,6,2,2,6,6,6,6,6,6,6,6,6,6,6,9,
1,1,3,3,3,2,2,2,2,2,2,2,2,6,6,1,3,1,1,1,3,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,
45,20,20,15,15,45,36,60,60,45,10,36,15,15,10,15,15,10,6,6,1],[1,15,30,1,10,20,
5,45,45,6,10,10,30,15,30,60,45,10,6,5,5,10,15,15,30,6,10,10,10,18,15,15,30,6,
5,10,1,6,5,3,1,1],[1,15,30,1,10,20,5,45,45,6,10,10,30,15,30,60,45,10,6,5,5,10,
15,15,30,6,10,10,10,18,15,15,30,6,5,10,1,6,5,3,1,1],[1,3,9,36,27,4,2,2,16,16,
1,18,18,27,27,54,54,6,6,24,6,6,12,36,18,18,36,48,9,18,27,27,54,1,8,8,16,16,1,
2,2,4,4,6,6,18,18,18,18,36,18,18,36,36,27,1,3,3,8,12,24,24,24,48,6,9,6,6,6,12,
18,18,18,18,18,4,1,2,2,3,3,4,4,6,6,6,6,24,9,18,4,8,1,2,3,3,6,6,6,6,6,12,1,4,3,
6,1,2,1],[1,3,9,36,27,4,2,2,16,16,1,18,18,27,27,54,54,6,6,24,6,6,12,36,18,18,
36,48,9,18,27,27,54,1,8,8,16,16,1,2,2,4,4,6,6,18,18,18,18,36,18,18,36,36,27,1,
3,3,8,12,24,24,24,48,6,9,6,6,6,12,18,18,18,18,18,4,1,2,2,3,3,4,4,6,6,6,6,24,9,
18,4,8,1,2,3,3,6,6,6,6,6,12,1,4,3,6,1,2,1],[1,3,9,27,4,2,2,16,16,1,9,27,27,27,
6,6,6,6,36,18,18,9,27,27,1,8,8,16,16,1,2,2,4,4,36,18,18,18,18,9,1,3,3,24,24,9,
6,6,4,1,1,2,2,3,3,3,4,4,9,4,1,3,3,6,6,1,4,1,1,1],[1,3,15,20,45,10,1,5,10,10,
30,45,45,45,30,30,30,30,6,30,10,20,30,20,15,10,15,15,15,45,15,15,30,30,30,60,
6,18,18,5,10,10,10,10,30,10,30,20,20,5,15,15,15,15,15,15,6,18,18,12,12,15,10,
10,10,10,10,10,10,10,15,6,6,6,5,5,5,10,1,6,5,3,2,1,1,1,1],[1,3,15,20,45,10,1,
5,10,10,30,45,45,45,30,30,30,30,6,10,30,20,30,20,15,15,10,15,15,15,15,45,30,
30,30,60,6,18,18,5,10,10,10,30,30,10,10,20,20,5,15,15,15,15,15,15,6,18,18,12,
12,15,10,10,10,10,10,10,10,10,15,6,6,6,5,5,5,10,1,6,5,3,2,1,1,1,1],[1,3,9,42,
18,27,4,4,32,1,1,3,9,3,9,21,21,6,18,27,9,9,27,27,54,18,18,54,54,18,18,54,12,
28,12,4,24,36,12,24,96,3,9,9,9,21,3,6,18,9,9,9,27,9,9,9,9,9,27,27,9,27,27,27,
9,27,18,18,18,54,18,18,54,18,18,18,18,18,18,36,36,16,1,1,4,8,4,12,12,12,8,12,
12,12,36,36,12,12,12,12,24,24,24,3,1,3,3,9,3,9,9,9,9,9,9,9,9,9,27,9,9,9,9,27,
9,27,9,9,9,9,9,9,9,9,9,9,9,27,18,18,18,18,16,16,16,3,1,7,9,3,3,12,4,12,4,6,6,
24,12,12,12,12,12,12,12,12,12,12,24,24,9,3,3,9,9,9,9,9,9,9,9,9,9,9,9,4,4,16,1,
3,1,2,3,3,9,9,3,3,3,3,3,3,3,6,6,12,12,9,4,4,4,4,4,4,3,1,1,3,3,3,3,3,3,3,3,3,3,
3,6,1,4,4,3,3,1,1,1,1],[1,3,9,18,42,27,4,4,32,1,3,1,21,3,21,9,9,18,6,27,27,9,
9,27,18,54,18,54,18,18,54,54,4,12,28,12,24,36,12,24,96,3,3,9,21,9,9,18,6,9,9,
9,9,9,27,9,27,9,27,27,27,9,27,27,9,9,18,18,18,18,18,54,18,18,54,18,18,18,18,
36,36,16,1,1,4,8,12,12,4,12,8,12,12,36,12,12,12,36,12,12,24,24,24,1,3,3,9,3,9,
3,9,9,9,9,9,9,9,9,9,9,27,9,27,9,9,27,9,9,9,27,9,9,9,9,9,9,9,9,18,18,18,18,16,
16,16,7,3,1,9,3,3,4,12,4,12,6,6,24,12,12,12,12,12,12,12,12,12,12,24,24,3,3,9,
9,9,9,9,9,9,9,9,9,9,9,9,4,4,16,3,1,1,2,3,3,3,3,3,9,3,9,3,3,3,6,6,12,12,9,4,4,
4,4,4,4,1,3,1,3,3,3,3,3,3,3,3,3,3,3,6,1,4,4,3,3,1,1,1,1],[1,1,45,45,20,20,15,
15,45,45,45,45,45,36,60,20,60,20,60,60,45,15,15,45,45,45,45,10,36,36,36,15,15,
60,60,45,10,10,10,36,15,15,15,15,15,15,10,10,10,15,15,6,6,10,6,6,1,1],[1,3,15,
45,4,10,80,1,5,30,45,45,45,6,10,30,60,30,15,15,45,40,6,18,18,1,5,10,20,20,40,
30,30,120,24,5,40,6,18,18,15,15,10,24,10,20,6,5,5,10,1,6,10,3,6,5,4,1,1],[1,3,
15,45,4,10,80,1,5,30,45,45,45,6,30,10,60,30,15,15,45,40,6,18,18,1,5,10,20,20,
40,30,30,120,24,5,40,6,18,18,15,15,10,24,10,20,6,5,5,10,1,6,10,3,6,5,4,1,1],[
1,45,15,15,20,20,15,15,45,45,45,45,45,36,60,60,20,20,60,60,45,15,15,45,45,45,
45,10,36,15,15,60,60,45,10,20,20,36,15,15,15,15,15,15,10,10,10,15,15,6,6,10,6,
6,1,1],[1,3,9,36,36,27,4,2,2,16,16,1,18,9,18,18,18,27,27,27,54,54,54,54,6,6,
24,24,6,6,12,12,36,18,18,36,36,48,48,9,18,18,27,27,27,27,27,27,54,54,54,54,1,
8,8,16,16,1,2,2,4,4,6,6,6,6,18,36,18,18,18,36,18,36,18,18,18,36,36,36,36,9,27,
27,27,27,27,27,1,3,3,8,8,12,12,24,24,24,24,48,48,6,6,9,6,6,6,6,12,12,18,18,36,
18,18,18,18,18,18,18,18,4,27,1,1,2,2,3,3,3,4,4,6,6,6,6,6,6,6,6,24,24,9,9,9,18,
18,4,8,8,1,2,2,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,12,12,9,1,4,4,4,1,3,3,3,3,3,3,
6,6,1,2,2,4,3,1,1,1,1],[1,45,1,20,20,40,40,15,15,45,36,60,60,45,45,10,20,20,
40,40,36,15,15,15,15,30,30,45,36,10,60,60,15,15,45,10,36,10,15,15,10,6,6,15,
15,10,6,6,1,1],[1,3,45,135,20,20,1,15,15,45,90,90,135,135,135,135,135,36,60,
60,60,60,180,180,45,45,45,45,135,135,135,135,135,135,135,270,10,36,108,108,15,
15,20,20,180,180,180,180,15,15,45,135,135,135,135,10,30,30,36,108,108,15,15,
45,45,45,45,60,60,45,10,10,30,30,30,36,15,15,45,45,45,45,6,6,10,30,30,15,15,
18,18,10,6,6,1,3,1],[1,1,45,45,20,20,15,15,45,15,15,45,45,45,45,90,36,60,20,
60,20,60,60,45,15,15,45,45,45,45,45,45,45,45,10,36,36,36,15,15,20,20,60,60,60,
60,15,15,45,45,45,45,45,10,10,10,36,72,15,15,15,15,15,15,60,60,45,10,10,10,20,
20,36,15,15,15,15,15,15,6,6,10,10,10,15,15,6,6,10,6,6,1,1,1],[1,1,45,30,30,45,
20,20,15,15,15,45,15,45,45,45,45,90,90,90,90,90,90,90,36,60,20,60,20,40,40,60,
60,120,120,45,15,15,30,30,45,45,45,45,45,45,45,45,90,90,90,90,90,90,90,90,90,
90,10,36,36,36,15,15,20,20,60,60,60,60,120,120,120,120,15,15,45,45,45,45,45,
90,90,90,90,10,10,10,40,40,36,72,15,15,15,15,15,15,30,30,30,30,60,60,45,10,10,
10,20,20,20,20,20,20,36,15,15,15,15,15,15,30,30,30,30,6,6,10,10,10,20,20,15,
15,6,6,12,12,10,6,6,1,1,2,1],[1,3,15,60,45,4,10,80,1,5,30,30,30,45,45,45,90,
90,90,90,6,30,40,10,60,60,30,60,240,15,30,15,45,45,45,45,45,90,90,90,180,40,6,
18,18,1,5,10,20,20,30,30,40,30,30,60,60,30,30,60,120,60,24,5,45,45,45,45,45,
45,40,40,40,6,18,18,36,36,10,15,15,30,10,30,60,30,30,30,60,30,30,120,120,24,
45,10,20,40,6,18,18,5,5,10,15,15,15,15,30,1,6,24,10,20,10,10,18,15,15,30,3,6,
6,5,10,4,1,3,3,6,5,4,3,1,1],[1,3,15,60,45,4,10,80,1,5,30,30,30,45,45,45,90,90,
90,90,6,10,40,30,60,60,30,60,240,15,15,30,45,45,45,45,45,90,90,90,180,40,6,18,
18,1,5,10,20,30,20,30,40,30,30,30,60,30,60,60,120,60,24,5,45,45,45,45,45,45,
40,40,40,6,18,18,36,36,10,15,15,10,30,30,60,30,30,30,30,60,30,120,120,24,45,
10,20,40,6,18,18,5,5,10,15,15,15,15,30,1,6,24,10,10,20,10,18,15,15,30,3,6,6,5,
10,4,1,3,3,6,5,4,3,1,1],[1,45,45,45,1,20,20,40,40,15,15,45,135,135,135,135,36,
60,15,15,60,60,60,45,180,180,120,120,45,45,45,135,135,135,135,10,20,20,40,40,
36,15,15,15,15,30,30,45,45,45,45,45,180,180,36,135,10,20,20,60,60,60,60,60,60,
120,120,108,15,15,15,15,45,45,45,45,45,45,45,45,45,90,90,10,36,10,30,15,30,15,
60,60,45,45,45,10,20,20,6,6,36,15,30,15,15,15,15,15,10,10,10,18,18,15,15,6,6,
10,1,6,6,3,1,1],[1,3,45,30,30,135,20,20,1,15,15,15,45,15,15,15,90,90,135,135,
135,135,135,90,90,90,90,90,90,90,90,36,60,60,60,60,40,40,180,180,120,120,45,
45,45,15,15,45,30,30,135,135,45,45,135,45,135,135,45,45,45,45,45,45,45,135,
135,90,90,90,90,90,90,90,90,90,90,270,90,90,180,180,10,36,108,108,15,15,20,20,
20,20,20,20,60,180,180,180,60,60,60,180,120,120,120,120,15,15,45,15,15,15,15,
45,45,45,45,135,45,45,45,45,45,45,45,45,45,135,45,135,45,45,45,135,45,45,45,
45,45,45,45,90,90,90,90,10,30,30,40,40,36,108,108,72,72,15,15,45,45,45,45,60,
20,20,60,30,30,30,30,60,60,60,60,60,60,60,60,60,60,15,45,15,45,45,45,45,45,45,
45,45,45,45,45,45,10,10,30,30,30,20,20,20,20,20,20,20,20,36,36,36,15,15,45,15,
15,45,15,15,45,15,15,15,45,15,30,30,30,30,60,60,6,6,45,10,30,10,10,10,30,10,
20,20,20,20,20,20,36,15,15,15,15,15,15,15,15,15,15,15,15,15,15,18,18,12,12,10,
10,10,10,10,10,10,15,15,6,6,6,6,6,6,10,1,6,6,3,2,1,1,1,1],[1,3,45,135,4,20,20,
160,160,1,15,15,45,90,90,135,135,135,135,135,36,60,60,60,60,180,180,180,45,45,
45,45,135,135,135,135,135,135,135,270,10,80,80,160,160,36,108,108,1,15,15,20,
20,40,40,60,60,120,120,180,180,180,180,180,360,360,144,15,15,45,135,135,135,
135,10,30,30,240,240,36,108,108,15,15,45,45,45,45,45,60,60,180,40,144,45,10,
10,20,20,30,30,30,40,40,60,60,36,15,15,15,15,30,30,45,45,45,45,45,40,6,6,36,
10,30,30,60,60,60,60,15,15,45,10,40,18,18,36,10,15,15,24,24,10,6,6,15,15,1,10,
3,6,6,4,1,1],[1,3,45,90,90,135,4,20,20,160,160,1,15,15,45,45,45,45,45,90,90,
135,135,135,135,135,270,270,270,270,270,270,270,270,36,60,60,60,60,60,60,120,
120,180,180,180,360,360,480,480,45,45,45,45,45,45,90,90,135,135,135,135,135,
135,135,135,135,135,135,135,135,135,135,135,135,270,270,270,270,270,270,270,
270,270,270,270,270,270,540,540,10,80,80,160,160,36,108,108,1,15,15,20,20,40,
40,60,60,60,60,60,60,120,120,180,180,180,180,180,180,180,180,180,180,180,180,
180,360,360,360,360,360,360,144,15,15,45,45,45,45,45,135,135,135,135,135,135,
135,135,135,135,135,135,135,135,135,135,135,135,135,135,135,135,135,135,135,
135,135,135,270,270,270,270,10,30,30,80,80,120,120,240,240,240,240,480,480,36,
108,108,216,216,15,15,15,15,45,45,45,45,45,60,60,60,60,60,60,90,90,90,90,120,
120,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,360,360,360,
360,40,144,45,45,45,135,135,135,135,135,135,135,135,135,135,135,135,10,10,20,
20,30,30,30,40,40,60,60,60,60,60,60,60,60,60,60,240,240,36,108,108,15,15,15,
15,30,30,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,90,90,90,90,180,
180,180,40,80,80,6,6,36,144,135,10,20,20,30,30,30,30,30,30,60,60,60,60,60,60,
60,60,60,60,60,60,60,60,60,60,120,120,108,15,15,15,15,45,45,45,45,45,45,45,45,
45,45,45,45,45,45,45,45,45,90,90,10,40,40,40,18,18,36,36,36,10,15,15,30,30,30,
30,30,30,60,60,60,60,24,24,45,45,45,10,20,20,40,6,6,18,18,18,18,36,15,15,15,
15,15,15,30,1,24,24,10,10,10,18,18,15,15,3,6,6,6,10,4,1,3,3,6,6,4,3,1,1]],
[1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,5,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,9,9,9,9,9,10,10,10,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,15,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,18,18,18,18,18,18,18,18,18,18,18,18,18,20,20,
20,20,20,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,27,30,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,40,40,40,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,
48,48,48,48,48,48,48,48,48,48,54,54,54,60,60,60,60,64,72,72,72,72,72,72,72,72,
72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,80,96,96,96,96,96,96,
96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,108,108,108,108,120,120,
120,120,120,144,144,144,144,144,144,144,144,144,144,144,144,144,180,180,192,
192,192,216,216,216,216,240,240,240,240,240,240,240,288,288,288,288,288,288,
288,360,360,360,432,432,432,480,480,576,576,720,720,720,720,864,1080,1440,
1440,1440,1440,1440,2160,2880,4320,8640],
[430,428,386,348,344,309,427,410,409,303,304,430,414,415,385,386,385,387,387,
359,360,309,309,309,309,309,241,236,236,236,236,238,240,236,398,381,375,379,
380,382,376,318,314,301,300,299,220,226,184,185,386,385,386,385,387,387,348,
344,309,309,309,309,309,309,309,309,309,309,309,309,309,309,309,309,309,236,
236,236,233,236,235,236,236,236,236,234,236,236,150,146,420,363,362,304,303,
398,337,337,430,414,415,410,409,390,389,379,376,375,375,380,376,325,332,300,
301,299,300,301,299,301,299,301,299,301,300,300,220,226,227,220,230,226,308,
415,414,386,387,385,387,385,309,309,309,309,309,309,309,309,309,309,309,309,
309,309,309,309,309,309,309,309,309,309,309,309,309,309,309,309,236,236,236,
236,420,405,405,362,363,314,318,268,267,267,268,184,185,398,337,337,271,270,
415,414,414,415,386,385,387,387,385,381,375,379,380,376,382,348,348,344,344,
335,336,301,300,300,301,299,299,299,300,299,301,301,301,299,300,300,227,228,
229,230,391,308,385,386,387,309,309,309,309,309,309,309,309,309,309,309,309,
420,420,410,409,405,405,405,390,389,378,375,376,375,379,376,378,373,380,374,
267,268,398,337,337,414,415,415,414,404,402,385,385,386,387,386,385,386,386,
386,385,387,387,385,385,387,387,387,348,344,344,348,299,300,301,391,363,362,
426,425,398,308,309,420,409,410,405,405,405,405,405,405,378,381,379,375,375,
378,379,380,379,382,380,376,382,380,376,381,335,336,337,415,414,414,415,385,
385,385,386,387,385,387,387,386,387,386,386,387,387,385,385,386,359,360,420,
391,391,391,412,413,398,395,394,420,414,415,405,405,405,405,405,405,379,380,
381,382,408,407,385,386,387,420,409,410,391,426,425,413,412,412,413,398,415,
414,415,415,414,414,405,430,407,408,420,420,420,412,413,414,415,428,426,425,
424,420,427,430,428,428,425,426,427,428,430,430],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,8,1,7,
7,9,1,8,9,1,9,8,1,1,10,11,3,1,1,2,2,1,1,1,3,1,1,1,3,1,3,1,1,2,1,1,1,2,1,1,1,3,
1,3,2,3,2,1,3,1,3,3,1,3,6,6,1,1,1,1,1,35,35,1,12,13,14,1,1,12,12,1,8,9,9,1,8,
13,14,1,1,8,9,7,8,7,1,7,1,7,1,9,8,9,21,8,20,9,1,1,1,1,1,1,1,1,2,2,6,6,3,6,2,3,
2,6,2,3,2,2,3,2,3,3,1,2,3,6,1,3,6,3,3,2,3,3,3,3,91,1,91,93,92,9,8,9,8,7,7,10,
11,1,35,35,35,35,99,100,99,101,12,14,13,100,101,8,37,7,7,41,9,100,13,14,101,
105,104,7,9,2,44,41,2,41,37,8,44,44,3,8,37,9,129,113,112,131,1,35,2,3,2,3,26,
26,26,26,26,26,26,3,26,26,2,1,91,12,12,91,91,91,12,12,91,9,8,9,13,8,91,91,14,
91,92,93,35,35,35,12,14,12,13,135,134,101,101,12,100,99,101,99,99,99,101,13,
100,14,14,13,100,100,100,101,101,100,41,37,44,91,92,93,305,306,12,133,26,91,
251,250,91,91,91,91,91,91,173,102,100,37,174,173,261,110,106,99,101,174,103,
265,41,99,105,104,98,99,100,99,101,196,196,101,195,56,52,100,197,195,100,53,
195,197,197,101,196,99,276,277,12,231,231,91,306,305,186,306,305,91,135,134,
175,175,174,174,173,173,261,265,250,251,305,306,196,195,197,248,251,250,302,
305,306,305,306,306,305,307,274,272,273,372,275,371,254,406,384,383,361,361,
248,365,366,371,372,406,392,393,406,388,406,406,406,406,418,417,421,416,422,
429],
[ (1,3)(2,4), ( 1, 3, 9, 6)( 2, 8, 5,10, 7, 4) ],
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1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-3,3,-1]],[[1,1,2,1],[3,2,2,1,1,1,2,-1]]],[[[
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1,1,1],[3,1,1,1,2,1,3,-1,2,-1]]],[[[2,2],[1,1,2,1,3,1,2,1,1,1,3,1]],[[1,1,2,
1],[3,2],[4,2,1,1,2,-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],[4,1,2,-1,3,-2,4,-1]],[[1,1,2,1],[2,1,3,1],[3,1,4,1,3,1,4,
1]]],[[[1,1,2,1],[2,2],[4,1,3,2,4,1]],[[2,2],[3,1,1,1,2,2,1,1,3,1]]],[[[2,1,1,
1],[1,1,2,1,3,-1,2,-3,3,-1]],[[2,1,1,1],[3,1,1,1,2,1,3,-1,2,-1]]],[[[1,1,2,
-1]]],[[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[2,2,1,1,2,-2,1,1]],[[2,2],[3,1,2,2,3,
1]],[[1,1,2,-2,1,1,2,2]]],[[[1,1,2,1],[2,1,1,1,2,-1],[4,1,3,1,4,1,3,1]],[[2,
2],[3,1,2,2,3,1]],[[2,2],[3,1,1,1,2,2,1,1,3,1]],[[2,2],[1,1,2,1,3,2,2,1,1,
1]]],[[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[1,1,2,-1,1,1,2,1,1,1,2,-1]],[[2,2],[3,1,
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1,4,1,3,1]],[[1,1,2,1],[3,1,2,2,1,1,3,1,2,2]]],[[[1,1,2,1],[3,1,2,1,3,1,2,3,1,
1]],[[2,2,1,1,2,-2,1,1]],[[1,1,2,-2,1,1,2,2]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,
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2,1,3,1,2,2,1,1]],[[1,1,2,1],[3,1,2,1,3,1,1,1,2,-2,3,1]],[[2,1,1,1],[2,1,3,
1],[1,1,2,1,4,2,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1]],[[2,
2],[3,1,1,1,2,2,1,1,3,1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2,2,1,1,1]]],[[[1,1,2,
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1,2,1,4,-1,3,2,4,-1]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]],[[2,2],[3,1,2,2,3,
1]]],[[[1,1,2,-2,1,1,2,2,1,1]],[[2,2],[3,1,2,2,3,1]],[[2,1,1,1],[3,1,1,1,2,1,
3,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,2,4,-1]],[[1,1,2,1],[3,2,2,
1,3,1,2,2,1,1]],[[2,2],[3,1,2,2,3,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,
1,3,-1,2,-1]],[[1,1,2,-2,1,1,2,2,1,1]],[[2,2,1,1,2,-2,1,1]]],[[[1,1,2,1],[2,1,
1,1],[3,1,2,1,4,-2,3,-1,2,-1]],[[2,1,1,1],[1,1,2,-1,1,1,2,2,3,2]],[[1,1,2,1],[
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1,2,1,1,1]],[[2,1,1,1],[3,1,1,1,2,1,3,-1,2,-1]],[[1,1,2,-2,1,1,2,2,1,1]]],[[[
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1,1,1,2,2,1,1,3,1]]],[[[2,1,1,1],[3,1,1,1,2,1,3,-1,2,-1]],[[2,2],[3,1,2,2,3,
1]],[[1,1,2,-2,1,1,2,2]]],[[[1,1,2,1],[3,1,2,1,3,1,2,2,1,1,3,1]],[[1,1,2,1],[
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1],[2,1,3,1],[1,1,2,1,4,2,3,1]],[[1,1,2,-2,1,1,2,2,1,1]],[[1,1,2,1],[3,1,2,1,
3,1,1,1,2,-2,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,-1,3,1,4,1]],[[1,1,2,1],[2,1,
3,1,2,2,3,1]],[[1,1,2,1],[2,1,1,1,3,-1,1,1,2,-2,3,1]]],[[[1,1,2,1],[3,1,2,2,1,
1,3,1,2,2]],[[2,2],[3,1,1,1,2,2,1,1,3,1]],[[1,1,2,1],[2,1,1,1,2,-1],[4,1,3,1,
4,1,3,1]]],[[[2,2],[3,1,1,1,2,2,1,1,3,1]],[[1,1,2,-1,1,1,2,1,1,1,2,-1]],[[2,
2],[3,1,2,2,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1]],[[1,1,2,
1],[2,2,3,1,2,1,3,1,2,1,1,1]]],[[[1,1,2,1],[3,1,2,2,1,1,3,1,2,2]],[[1,1,2,-1,
1,1,2,1,1,1,2,-1]]],[[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]],[[1,1,2,-1,1,1,2,1,
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3,1,1]],[[1,1,2,1],[2,1,1,1,2,-1],[4,1,3,1,4,1,3,1]]],[[[2,2],[3,1,1,1,2,2,1,
1,3,1]],[[2,1,1,1],[3,1,1,1,2,1,3,-1,2,-1]],[[1,1,2,-2,1,1,2,2]]],[[[1,1,2,
1],[2,1,1,1],[2,1,4,-1,3,1,4,1,3,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,
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1,1],[1,1,2,-3,1,1,2,1,3,2]],[[1,1,2,2,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,
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-1]],[[2,1,1,1,2,-2,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,1,3,1,2,1,4,
-1]],[[1,1,2,1],[3,1,1,1,2,-3,3,-2]],[[2,2,1,1,2,-2,1,1]]],[[[1,1,2,1],[2,1,1,
1],[4,1,3,-1,2,-1,3,2,4,-1]],[[2,1,1,1],[3,1,1,1,2,1,3,-1,2,-1]],[[1,1,2,1],[
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1],[2,1,3,1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,3,3,1,1,2,1,1,1]]],[[[1,1,2,
1],[3,1,1,1,2,-3,3,-2]],[[2,1,1,1],[3,1,1,1,2,1,3,-1,2,-1]]],[[[1,1,2,1],[1,1,
2,-1],[4,1,2,-1,3,-2,4,-1]],[[1,1,2,1],[2,1,1,1,3,-2,2,2]]],[[[1,1,2,1],[2,1,
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3,1,1,1,2,-2]]],[[[1,1,2,1],[1,1,2,-2,3,1,2,2,1,1,3,-1]],[[1,1,2,1],[3,1,2,
1],[3,1,4,1,3,1,4,1]]],[[[1,1,2,1],[2,1,3,3,1,1,2,1,1,1]],[[1,1,2,1],[1,1,2,
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3,1,2,1,3,2]]],[[[2,1,1,1],[3,1,2,-1,1,1,2,1,3,2]],[[1,1,2,1],[3,2,2,1,1,1,2,
-1]]],[[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[1,1,2,1],[3,2,1,1,2,1]],[[2,2],[3,1,2,
2,3,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,1,4,-1,3,-1,2,-1]],[[1,1,2,1],[2,1,
3,1],[3,1,4,2,2,1,1,1]],[[2,2],[3,1,1,1,2,2,1,1,3,1]]],[[[1,1,2,1],[2,1,1,1,2,
-1],[4,1,3,1,4,1,3,1]],[[2,2],[2,1,1,1,3,1,1,1,2,1,3,1]]],[[[1,1,2,1],[2,2,3,
1,1,1,2,-1,3,-1,2,-1]],[[1,1,2,1],[3,2,1,1,2,1]]],[[[1,1,2,1],[3,2,2,1,3,1,1,
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1,2,1],[2,1,3,3,1,1,2,1,1,1]],[[2,2],[3,1,2,2,3,1]]],[[[2,1,1,1],[1,1,2,-2,3,
-1,1,1,2,2,3,-1]],[[1,1,2,1],[2,1,3,1,1,1,2,-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],[3,1,1,1,2,1,1,1,2,1,3,2]],[[2,2],[3,1,2,2,
3,1]]],[[[1,1,2,1],[2,1,1,1,2,-1],[4,1,3,1,4,1,3,1]],[[2,4]],[[1,1,2,-4,1,
1]]],[[[1,1,2,1],[2,1,3,3,1,1,2,1,1,1]],[[2,2],[3,1,2,2,3,1]],[[1,1,2,1],[2,1,
1,1,2,-1],[4,1,3,1,4,1,3,1]]],[[[2,2,1,1,2,-2,1,1]],[[2,4]]],[[[2,1,1,1],[1,1,
2,-1,3,-1,2,-2,3,-1]],[[2,2,1,1,2,-1,1,1,2,-1,1,1,2,1]]],[[[1,1,2,-1,1,1,2,1,
1,1,2,-1]],[[2,2,1,1,2,-2,1,1]]],[[[1,1,2,1],[2,1,3,1],[4,1,3,1,4,1,3,1]],[[1,
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1,2,2,3,1]],[[1,1,2,1],[3,1,2,2,1,1,2,-1,3,-2]],[[1,1,2,1],[3,2,2,1,3,1,2,2,1,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1]],[[1,1,2,1],[3,1,2,1,3,1,
2,3,1,1]],[[2,2],[3,1,2,2,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,-1,2,
-1]],[[1,1,2,1],[3,2,2,2,3,1,2,1,1,1]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]]],[[[
1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1]],[[1,1,2,1],[2,2],[3,1,4,1,3,1,4,
1]],[[2,1,1,1],[2,1,3,1,1,1,2,1,3,-1,2,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,
2,4,1]],[[1,1,2,1],[3,2,2,2,1,1,3,-1]],[[2,2],[3,1,2,2,3,1]]],[[[1,1,2,1],[3,
2,2,1,3,1,1,1,2,-2]],[[1,1,2,1],[3,1,2,1,3,1,1,1,2,-2,3,1]],[[2,2],[3,1,2,2,3,
1]],[[2,2],[1,1,2,1,3,2,2,1,1,1]]],[[[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],[3,2,1,1,2,-3]],[[1,1,2,1],[2,1,3,1,1,1,2,-2,
3,-1]],[[2,1,1,1],[3,1,1,1,2,1,3,-1,2,-1]]],[[[1,1,2,1],[2,-1,3,-1,2,-2]],[[2,
4]]],[[[1,1,2,1],[2,1,3,1],[4,1,3,1,4,1,3,1]],[[2,1,1,1,2,-1,1,1,2,1]]],[[[1,
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95],[1,4,6,16,30,96],[1,4,7,11,35,97],[1,3,4,6,13,28,30,98],[1,4,6,14,30,99],[
1,4,9,14,100],[1,2,3,5,6,20,27,28,32,101],[1,4,8,11,36,102],[1,4,9,11,103],[1,
3,4,6,18,28,30,104],[1,4,6,21,30,105],[1,3,6,15,28,106],[1,4,5,6,22,30,32,
107],[1,4,10,14,108],[1,4,7,14,33,35,109],[1,3,9,12,110],[1,4,7,19,35,111],[1,
4,10,11,112],[1,4,5,6,24,30,32,113],[1,3,5,6,23,28,32,114],[1,2,4,5,6,25,27,
30,32,115],[1,4,6,19,30,116],[1,2,4,7,17,29,33,38,117],[1,3,4,9,18,34,39,41,
118],[1,2,3,5,9,20,34,37,40,119],[1,3,10,12,120],[1,2,4,7,17,35,38,121],[1,4,
7,16,35,122],[1,2,4,5,7,25,29,35,42,123],[1,4,5,7,24,35,42,124],[1,3,5,9,23,
39,40,45,125],[1,2,4,5,9,25,37,41,45,126],[1,4,5,9,24,40,41,46,127],[1,3,5,9,
23,34,45,46,128],[1,2,3,5,9,20,37,39,46,129],[1,2,4,5,8,25,31,36,47,130],[1,2,
4,5,7,25,33,38,42,131],[1,4,5,8,24,36,47,132],[1,3,5,10,23,43,44,48,133],[1,5,
49,134],[1,6,26,135],[1,7,26,136],[1,8,26,137],[1,3,4,11,12,13,18,52,55,138],[
1,2,3,4,5,13,14,17,20,22,25,51,61,64,67,139],[1,3,4,12,13,18,19,55,58,140],[1,
3,4,12,13,14,15,18,51,54,55,60,141],[1,3,4,12,13,15,18,50,55,57,59,60,142],[1,
3,4,11,13,14,18,19,51,52,58,63,65,143],[1,3,4,12,13,15,53,54,57,59,60,144],[1,
3,4,12,13,15,18,55,59,145],[1,3,4,11,13,15,18,19,52,54,58,146],[1,3,4,11,13,
16,18,21,52,66,68,147],[1,2,3,4,5,11,13,17,18,20,22,23,24,25,52,62,67,69,76,
148],[1,3,4,5,13,15,22,23,24,54,69,79,149],[1,3,4,13,15,16,21,54,68,150],[1,3,
4,13,14,21,51,66,151],[1,2,3,4,5,11,13,16,17,18,20,21,22,25,52,56,67,68,70,71,
72,152],[1,3,4,5,13,14,16,21,22,23,24,51,68,69,74,78,153],[1,3,4,5,12,13,16,
18,21,22,23,24,55,68,69,70,77,154],[1,3,4,13,16,19,21,58,66,68,155],[1,3,4,5,
13,19,21,22,23,24,58,66,69,156],[1,2,3,4,5,12,13,17,18,20,21,22,25,55,66,67,
71,77,157],[1,2,3,4,5,13,15,17,20,21,22,25,54,66,67,158],[1,3,4,13,15,54,80,
159],[1,3,4,5,11,13,18,21,22,23,24,52,66,69,72,77,160],[1,2,3,4,5,13,16,17,19,
20,21,22,25,58,67,68,81,82,161],[1,2,3,4,5,13,17,19,20,22,23,24,25,58,67,69,
73,75,162],[1,2,3,4,5,14,16,18,19,20,22,23,24,25,63,64,70,75,76,78,81,163],[1,
2,3,4,5,14,17,18,19,20,21,23,24,25,61,63,71,73,74,76,82,164],[1,2,4,5,11,14,
16,17,19,24,25,56,61,62,65,73,78,81,165],[1,3,5,15,23,53,79,80,166],[1,3,5,12,
15,23,57,79,80,167],[1,2,4,5,11,14,19,21,22,24,25,62,64,65,72,74,75,82,168],[
1,2,6,7,8,27,29,31,83,169],[1,4,7,9,33,41,84,170],[1,2,6,7,8,27,38,83,171],[1,
5,6,9,10,32,40,43,85,172],[1,4,6,7,8,30,33,83,173],[1,4,7,9,33,35,84,174],[1,
3,6,9,10,28,34,85,175],[1,2,6,9,10,27,37,85,176],[1,3,7,9,34,39,84,177],[1,5,
6,7,8,32,42,47,83,178],[1,4,6,7,8,30,35,36,83,179],[1,2,7,9,37,38,84,180],[1,
5,7,9,42,45,84,181],[1,4,7,8,10,33,36,87,182],[1,3,8,9,10,34,44,86,183],[1,4,
6,9,10,30,41,85,184],[1,5,6,9,10,32,46,85,185],[1,5,6,9,10,32,45,48,85,186],[
1,3,6,9,10,28,39,44,85,187],[1,2,7,9,29,38,84,188],[1,5,7,9,40,46,84,189],[1,
5,8,9,10,43,46,86,190],[1,5,7,8,10,42,47,48,87,191],[1,2,7,8,10,31,38,87,
192],[1,5,8,9,10,45,47,48,86,193],[1,4,16,26,88,194],[1,4,19,26,88,195],[1,2,
4,5,25,26,88,89,90,196],[1,6,49,197],[1,9,49,198],[1,10,49,199],[1,3,6,12,28,
50,94,200],[1,3,4,6,13,14,28,30,51,98,99,201],[1,2,4,6,11,16,17,27,30,56,91,
95,96,202],[1,2,4,7,11,16,17,29,56,92,203],[1,3,4,6,11,13,18,28,30,52,91,98,
104,204],[1,3,6,15,28,53,106,205],[1,3,4,7,11,13,18,35,52,92,206],[1,3,4,6,13,
15,28,30,54,98,106,207],[1,3,4,6,12,13,18,28,30,55,94,98,104,208],[1,2,4,5,6,
14,17,25,27,30,32,61,95,99,115,209],[1,2,4,8,11,16,17,31,56,93,210],[1,4,7,11,
14,19,33,65,92,211],[1,3,4,9,13,14,39,51,100,212],[1,3,4,8,11,13,18,36,52,93,
213],[1,3,4,9,14,18,19,34,63,100,214],[1,2,4,5,6,14,22,25,27,30,32,64,99,107,
115,215],[1,2,4,5,6,11,24,25,27,30,32,62,91,113,115,216],[1,4,9,11,14,19,41,
65,100,217],[1,3,4,5,6,13,22,23,24,28,30,32,69,98,107,113,114,218],[1,2,3,4,5,
6,13,17,20,22,25,27,28,30,32,67,95,98,101,107,115,219],[1,3,4,6,13,16,21,28,
30,68,96,98,105,220],[1,3,4,6,13,19,28,30,58,98,116,221],[1,3,4,6,13,21,28,30,
66,98,105,222],[1,3,6,12,15,28,57,94,106,223],[1,3,4,5,6,16,18,22,28,30,32,70,
96,104,107,224],[1,3,6,12,15,28,59,94,106,225],[1,4,5,7,11,21,22,42,72,92,
226],[1,4,5,6,11,21,22,30,32,72,91,105,107,227],[1,2,3,4,6,17,18,21,27,28,30,
71,95,104,105,228],[1,3,9,12,15,34,57,110,229],[1,2,4,5,7,11,24,25,29,35,42,
62,97,123,124,230],[1,4,7,11,14,19,33,35,65,97,109,111,231],[1,3,9,12,39,50,
110,232],[1,3,4,10,13,14,44,51,108,233],[1,3,4,9,12,13,15,41,60,110,234],[1,3,
9,15,39,53,235],[1,3,10,15,44,53,236],[1,3,10,15,44,53,237],[1,3,4,6,14,18,19,
28,30,63,99,104,116,238],[1,3,4,5,6,18,21,22,28,30,32,77,104,105,107,239],[1,
4,5,6,19,22,24,30,32,75,107,113,116,240],[1,4,5,6,14,21,24,30,32,74,99,105,
113,241],[1,4,6,11,14,19,30,65,91,99,116,242],[1,4,5,9,14,21,24,45,74,100,
243],[1,2,4,5,7,11,24,25,38,62,92,244],[1,4,5,6,14,16,24,30,32,78,96,99,113,
245],[1,3,4,6,12,13,15,28,30,60,94,98,106,246],[1,2,4,5,9,14,22,25,37,64,100,
247],[1,2,4,5,9,14,17,25,46,61,100,248],[1,2,4,5,6,19,21,25,27,30,32,82,105,
115,116,249],[1,3,6,15,28,80,106,250],[1,4,5,8,11,21,22,47,72,93,251],[1,3,5,
6,15,23,28,32,79,106,114,252],[1,4,5,9,14,16,24,40,78,100,253],[1,2,4,5,6,17,
19,24,27,30,32,73,95,113,116,254],[1,2,4,5,6,16,19,25,27,30,32,81,96,115,116,
255],[1,2,3,4,5,6,18,20,23,24,25,27,28,30,32,76,101,104,113,114,115,256],[1,2,
4,5,8,11,24,25,31,36,47,62,102,130,132,257],[1,4,9,11,14,19,41,65,103,258],[1,
3,10,12,44,50,120,259],[1,4,5,10,14,16,24,43,78,108,260],[1,2,4,5,7,14,17,25,
29,33,35,38,42,61,109,117,121,123,131,261],[1,2,4,5,7,16,19,25,29,35,42,81,
111,122,123,262],[1,2,4,5,7,17,19,24,35,38,42,73,111,121,124,263],[1,4,5,7,14,
16,24,33,35,42,78,109,122,124,264],[1,4,5,10,14,21,24,48,74,108,265],[1,2,4,7,
11,16,17,35,38,56,97,121,122,266],[1,2,3,4,5,9,18,20,23,24,25,34,37,39,40,41,
45,46,76,118,119,125,126,127,128,129,267],[1,6,7,8,9,10,83,84,85,86,87,268],[
1,4,7,26,35,88,136,269],[1,4,6,26,30,88,135,270],[1,4,8,26,36,88,137,271],[1,
5,6,26,32,89,135,272],[1,2,7,26,29,90,136,273],[1,5,7,26,42,89,136,274],[1,2,
6,26,27,90,135,275],[1,2,8,26,31,90,137,276],[1,5,8,26,47,89,137,277],[1,3,4,
12,13,14,15,18,50,51,53,54,55,57,59,60,141,142,144,278],[1,3,4,11,12,13,15,18,
50,52,55,57,59,60,138,142,145,279],[1,3,4,11,12,13,14,15,18,19,51,52,54,55,58,
60,63,65,138,140,141,143,146,280],[1,3,4,12,13,14,15,18,51,54,55,59,60,141,
145,281],[1,2,3,4,5,11,12,13,16,17,18,20,21,22,23,24,25,52,55,56,62,66,67,68,
69,70,71,72,76,77,138,147,148,152,154,157,160,282],[1,3,4,12,13,15,18,19,50,
55,57,58,59,60,140,142,145,283],[1,3,4,12,13,14,15,18,51,54,55,60,80,141,159,
284],[1,3,4,12,13,14,15,18,21,51,54,55,60,66,141,151,285],[1,3,4,5,12,13,14,
15,16,18,21,22,23,24,51,54,55,60,68,69,70,74,77,78,79,141,149,150,153,154,
286],[1,2,3,4,5,12,13,14,15,17,18,20,21,22,25,51,54,55,60,61,64,66,67,71,77,
139,141,151,157,158,287],[1,2,3,4,5,11,13,14,16,17,18,19,20,21,22,23,24,25,51,
52,56,58,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,78,81,82,139,143,148,
152,153,161,162,163,164,165,168,288],[1,2,3,4,5,12,13,16,17,18,19,20,21,22,23,
24,25,55,58,66,67,68,69,70,71,73,75,77,81,82,140,154,155,156,157,161,162,
289],[1,2,3,4,5,11,13,15,17,18,19,20,21,22,23,24,25,52,54,58,62,66,67,69,72,
73,75,76,77,79,146,148,149,156,158,160,162,290],[1,3,4,5,12,13,15,22,23,24,53,
54,57,59,60,69,79,80,144,149,159,166,167,291],[1,3,4,12,13,15,16,21,53,54,57,
59,60,68,80,144,150,159,292],[1,3,4,5,11,13,14,16,18,19,21,22,23,24,51,52,58,
63,65,66,68,69,72,74,77,78,143,147,151,153,155,156,160,293],[1,2,3,4,5,11,13,
15,16,17,18,19,20,21,22,25,52,54,56,58,66,67,68,70,71,72,81,82,146,147,150,
152,155,158,161,294],[1,4,6,7,8,11,30,83,91,92,93,295],[1,4,7,9,19,33,41,84,
170,296],[1,4,7,9,11,35,84,92,97,103,297],[1,4,7,9,14,33,35,41,84,109,170,174,
298],[1,3,4,7,9,18,33,34,39,41,84,118,170,177,299],[1,4,6,7,8,11,30,35,36,83,
91,97,102,179,300],[1,4,6,9,10,14,30,85,99,100,108,301],[1,2,3,5,6,9,10,20,27,
28,32,34,37,40,43,85,101,119,172,175,176,302],[1,2,4,6,7,8,17,27,29,30,31,33,
38,83,95,117,169,171,173,303],[1,4,7,8,10,11,36,87,92,102,112,304],[1,4,6,9,
10,11,30,85,91,103,112,305],[1,4,7,8,10,11,35,87,93,97,112,306],[1,4,6,7,8,16,
30,35,36,83,96,122,179,307],[1,3,6,9,10,12,28,85,94,110,120,308],[1,2,4,5,6,7,
8,25,27,29,30,31,32,35,36,42,47,83,115,123,130,169,178,179,309],[1,2,4,6,7,8,
17,27,30,35,36,38,83,95,121,171,179,310],[1,4,5,7,9,24,33,40,41,46,84,127,170,
189,311],[1,2,4,7,9,17,29,33,38,41,84,117,170,188,312],[1,4,6,7,8,14,30,33,35,
36,83,99,109,173,179,313],[1,4,6,7,8,19,30,35,36,83,111,116,179,314],[1,4,7,9,
21,33,41,84,170,315],[1,4,5,6,7,8,24,30,32,35,36,42,47,83,113,124,132,178,179,
316],[1,2,4,5,7,9,25,33,37,38,41,42,45,84,126,131,170,180,181,317],[1,4,8,9,
10,11,36,86,93,102,103,112,318],[1,4,5,6,9,10,24,30,32,40,41,43,46,85,113,127,
172,184,185,319],[1,2,4,7,9,17,29,33,35,37,38,84,117,121,174,180,188,320],[1,
2,4,5,6,9,10,25,27,30,32,37,41,45,48,85,115,126,176,184,186,321],[1,2,4,5,6,7,
8,25,27,30,32,33,38,42,47,83,115,131,171,173,178,322],[1,2,3,5,6,9,10,20,27,
28,32,37,39,44,46,85,101,129,176,185,187,323],[1,3,5,7,9,23,34,39,40,42,45,46,
84,125,128,177,181,189,324],[1,3,5,6,9,10,23,28,32,34,45,46,48,85,114,128,175,
185,186,325],[1,2,3,5,7,9,20,34,37,38,39,40,46,84,119,129,177,180,189,326],[1,
3,4,6,9,10,18,28,30,34,39,41,44,85,104,118,175,184,187,327],[1,2,4,5,7,9,25,
29,33,35,38,42,45,84,123,131,174,181,188,328],[1,3,5,6,9,10,23,28,32,39,40,43,
44,45,48,85,114,125,133,172,186,187,329],[1,3,5,8,9,10,23,34,43,44,45,46,47,
48,86,128,133,183,190,193,330],[1,2,4,5,7,8,10,25,31,33,36,38,42,47,48,87,130,
131,182,191,192,331],[1,2,4,5,16,19,25,26,81,88,89,90,194,195,196,332],[1,5,6,
32,49,134,197,333],[1,5,9,46,49,134,198,334],[1,6,7,8,26,83,135,136,137,335],[
1,3,4,6,11,12,13,18,28,30,52,55,91,94,98,104,138,204,208,336],[1,3,4,7,11,12,
13,18,35,52,55,92,97,138,206,337],[1,3,4,9,11,12,13,18,52,55,103,110,138,
338],[1,2,3,4,5,6,13,14,17,20,22,25,27,28,30,32,51,61,64,67,95,98,99,101,107,
115,139,201,209,215,219,339],[1,3,4,10,11,12,13,18,52,55,112,120,138,340],[1,
3,4,8,11,12,13,18,36,52,55,93,102,138,213,341],[1,2,3,4,5,6,11,13,17,18,20,22,
23,24,25,27,28,30,32,52,62,67,69,76,91,95,98,101,104,107,113,114,115,148,204,
216,218,219,256,342],[1,3,4,7,11,13,15,18,19,35,52,54,58,92,111,146,206,343],[
1,3,4,6,11,13,16,18,21,28,30,52,66,68,91,96,98,104,105,147,204,220,222,344],[
1,3,4,7,11,13,14,18,19,33,35,51,52,58,63,65,92,109,143,206,211,345],[1,3,4,6,
13,14,21,28,30,51,66,98,99,105,151,201,222,346],[1,3,4,6,12,13,14,15,18,28,30,
51,54,55,60,94,98,99,104,106,141,201,207,208,246,347],[1,3,4,6,12,13,18,19,28,
30,55,58,94,98,104,116,140,208,221,348],[1,3,4,5,6,13,15,22,23,24,28,30,32,54,
69,79,98,106,107,113,114,149,207,218,252,349],[1,3,4,6,13,15,16,21,28,30,54,
68,96,98,105,106,150,207,220,350],[1,3,4,9,11,13,14,18,19,34,39,41,51,52,58,
63,65,100,118,143,212,214,217,351],[1,3,4,5,6,13,19,21,22,23,24,28,30,32,58,
66,69,98,105,107,113,114,116,156,218,221,222,352],[1,2,3,4,5,6,13,15,17,20,21,
22,25,27,28,30,32,54,66,67,95,98,101,105,106,107,115,158,207,219,222,353],[1,
2,3,4,5,7,11,13,17,18,20,22,23,24,25,35,38,52,62,67,69,76,92,121,148,206,244,
354],[1,3,4,7,11,13,16,18,21,35,52,66,68,92,122,147,206,355],[1,2,3,4,5,6,13,
17,19,20,22,23,24,25,27,28,30,32,58,67,69,73,75,95,98,101,107,113,114,115,116,
162,218,219,221,240,254,356],[1,2,3,4,5,6,12,13,17,18,20,21,22,25,27,28,30,32,
55,66,67,71,77,94,95,98,101,104,105,107,115,157,208,219,222,228,239,357],[1,3,
4,5,6,12,13,16,18,21,22,23,24,28,30,32,55,68,69,70,77,94,96,98,104,105,107,
113,114,154,208,218,220,224,239,358],[1,3,4,6,13,16,19,21,28,30,58,66,68,96,
98,105,116,155,220,221,222,359],[1,2,3,4,5,6,13,16,17,19,20,21,22,25,27,28,30,
32,58,67,68,81,82,95,96,98,101,105,107,115,116,161,219,220,221,249,255,360],[
1,3,4,6,13,15,28,30,54,80,98,106,159,207,250,361],[1,2,3,4,5,7,11,13,16,17,18,
20,21,22,25,29,35,42,52,56,67,68,70,71,72,92,123,152,203,206,226,362],[1,3,4,
5,7,11,13,18,21,22,23,24,35,42,52,66,69,72,77,92,124,160,206,226,363],[1,3,4,
5,6,11,13,18,21,22,23,24,28,30,32,52,66,69,72,77,91,98,104,105,107,113,114,
160,204,218,222,227,239,364],[1,3,4,5,6,13,14,16,21,22,23,24,28,30,32,51,68,
69,74,78,96,98,99,105,107,113,114,153,201,218,220,241,245,365],[1,3,4,6,12,13,
15,18,28,30,50,55,57,59,60,94,98,104,106,142,200,208,223,225,246,366],[1,3,4,
6,11,13,14,18,19,28,30,51,52,58,63,65,91,98,99,104,116,143,201,204,221,238,
242,367],[1,2,3,4,5,6,11,13,16,17,18,20,21,22,25,27,28,30,32,52,56,67,68,70,
71,72,91,95,96,98,101,104,105,107,115,152,202,204,219,220,224,227,228,368],[1,
3,4,6,12,13,15,18,28,30,55,59,94,98,104,106,145,208,225,369],[1,3,4,6,12,13,
15,28,30,53,54,57,59,60,94,98,106,144,205,207,223,225,246,370],[1,3,4,6,11,13,
15,18,19,28,30,52,54,58,91,98,104,106,116,146,204,207,221,371],[1,3,4,9,12,13,
15,18,34,39,41,50,55,57,59,60,110,118,142,229,232,234,372],[1,2,3,4,5,9,13,14,
17,20,22,25,37,39,46,51,61,64,67,100,129,139,212,247,248,373],[1,2,4,5,9,11,
14,19,21,22,24,25,37,41,45,62,64,65,72,74,75,82,100,126,168,217,243,247,374],[
1,2,3,4,5,6,14,17,18,19,20,21,23,24,25,27,28,30,32,61,63,71,73,74,76,82,95,99,
101,104,105,113,114,115,116,164,209,228,238,241,249,254,256,375],[1,2,4,5,7,
11,14,16,17,19,24,25,29,33,38,56,61,62,65,73,78,81,92,117,165,203,211,244,
376],[1,2,3,4,5,9,14,16,18,19,20,22,23,24,25,34,37,40,63,64,70,75,76,78,81,
100,119,163,214,247,253,377],[1,2,3,4,5,8,11,13,16,17,18,20,21,22,25,31,36,47,
52,56,67,68,70,71,72,93,130,152,210,213,251,378],[1,2,4,5,6,11,14,19,21,22,24,
25,27,30,32,62,64,65,72,74,75,82,91,99,105,107,113,115,116,168,215,216,227,
240,241,242,249,379],[1,2,4,5,6,11,14,16,17,19,24,25,27,30,32,56,61,62,65,73,
78,81,91,95,96,99,113,115,116,165,202,209,216,242,245,254,255,380],[1,2,3,4,5,
6,14,16,18,19,20,22,23,24,25,27,28,30,32,63,64,70,75,76,78,81,96,99,101,104,
107,113,114,115,116,163,215,224,238,240,245,255,256,381],[1,2,4,5,7,11,14,19,
21,22,24,25,33,38,42,62,64,65,72,74,75,82,92,131,168,211,226,244,382],[1,3,4,
5,9,13,14,16,21,22,23,24,39,40,45,51,68,69,74,78,100,125,153,212,243,253,
383],[1,3,5,6,12,15,23,28,32,57,79,80,94,106,114,167,223,250,252,384],[1,3,5,
6,15,23,28,32,53,79,80,106,114,166,205,250,252,385],[1,2,4,5,9,11,14,16,17,19,
24,25,40,41,46,56,61,62,65,73,78,81,100,127,165,217,248,253,386],[1,3,4,5,8,
11,13,18,21,22,23,24,36,47,52,66,69,72,77,93,132,160,213,251,387],[1,2,3,4,5,
9,14,17,18,19,20,21,23,24,25,34,45,46,61,63,71,73,74,76,82,100,128,164,214,
243,248,388],[1,3,5,10,15,23,43,44,48,53,79,80,133,166,237,389],[1,3,4,5,10,
13,14,16,21,22,23,24,43,44,48,51,68,69,74,78,108,133,153,233,260,265,390],[1,
3,5,10,15,23,43,44,48,53,79,80,133,166,236,391],[1,2,4,5,7,11,14,16,17,19,24,
25,29,33,35,38,42,56,61,62,65,73,78,81,97,109,111,117,121,122,123,124,131,165,
230,231,261,262,263,264,266,392],[1,3,5,9,15,23,39,40,45,53,79,80,125,166,235,
393],[1,5,6,7,8,9,10,32,42,45,47,48,83,84,85,86,87,178,181,186,191,193,268,
394],[1,2,6,7,8,9,10,27,37,38,83,84,85,86,87,171,176,180,268,395],[1,4,6,7,8,
9,10,30,33,41,83,84,85,86,87,170,173,184,268,396],[1,4,6,7,8,9,10,30,33,35,36,
83,84,85,86,87,173,174,179,182,268,397],[1,3,6,7,8,9,10,28,34,39,44,83,84,85,
86,87,175,177,183,187,268,398],[1,2,6,7,8,9,10,27,29,31,38,83,84,85,86,87,169,
171,188,192,268,399],[1,5,6,7,8,9,10,32,40,43,46,83,84,85,86,87,172,185,189,
190,268,400],[1,3,12,49,50,401],[1,4,7,11,26,33,88,92,402],[1,4,9,14,26,41,88,
100,403],[1,4,6,16,26,30,88,96,135,194,270,404],[1,4,7,19,26,35,88,111,136,
195,269,405],[1,4,7,16,26,35,88,122,136,194,269,406],[1,2,4,5,6,25,26,27,30,
32,88,89,90,115,135,196,270,272,275,407],[1,4,6,19,26,30,88,116,135,195,270,
408],[1,2,4,5,7,25,26,29,35,42,88,89,90,123,136,196,269,273,274,409],[1,2,4,5,
8,25,26,31,36,47,88,89,90,130,137,196,271,276,277,410],[1,6,9,10,49,85,197,
198,199,411],[1,2,3,4,5,12,13,14,15,17,18,20,21,22,25,50,51,53,54,55,57,59,60,
61,64,66,67,71,77,139,141,142,144,151,157,158,278,285,287,412],[1,3,4,11,12,
13,14,15,18,19,50,51,52,53,54,55,57,58,59,60,63,65,138,140,141,142,143,144,
145,146,278,279,280,281,283,413],[1,3,4,11,12,13,14,15,18,19,21,51,52,54,55,
58,60,63,65,66,80,138,140,141,143,146,151,159,280,284,285,414],[1,3,4,5,12,13,
14,15,16,18,21,22,23,24,51,54,55,59,60,66,68,69,70,74,77,78,79,141,145,149,
150,151,153,154,281,285,286,415],[1,2,3,4,5,12,13,14,15,17,18,20,21,22,25,51,
54,55,59,60,61,64,66,67,71,77,80,139,141,145,151,157,158,159,281,284,287,
416],[1,2,3,4,5,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,51,52,54,55,56,
58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,81,82,138,139,
140,141,143,146,147,148,149,150,151,152,153,154,155,156,157,158,160,161,162,
163,164,165,168,280,282,286,287,288,289,290,293,294,417],[1,3,4,5,12,13,14,15,
16,18,21,22,23,24,50,51,53,54,55,57,59,60,68,69,70,74,77,78,79,80,141,142,144,
149,150,153,154,159,166,167,278,284,286,291,292,418],[1,2,4,6,7,8,11,16,17,27,
29,30,31,56,83,91,92,93,95,96,169,202,203,210,295,419],[1,4,5,6,7,8,11,21,22,
30,32,42,47,72,83,91,92,93,105,107,178,226,227,251,295,420],[1,3,4,6,7,8,11,
13,18,28,30,35,36,52,83,91,92,93,98,104,179,204,206,213,295,421],[1,2,4,5,6,7,
8,11,24,25,27,29,30,31,32,35,36,42,47,62,83,91,97,102,113,115,123,124,130,132,
169,178,179,216,230,257,300,309,316,422],[1,3,4,7,9,14,18,19,33,34,35,39,41,
63,84,109,118,170,174,177,296,298,299,423],[1,4,7,9,11,14,19,33,35,41,65,84,
92,97,103,109,111,170,211,231,258,297,424],[1,2,4,5,6,7,8,11,24,25,27,30,32,
38,62,83,91,92,93,113,115,171,216,244,295,425],[1,2,4,5,6,9,10,14,22,25,27,30,
32,37,64,85,99,100,107,108,115,176,215,247,301,426],[1,4,6,9,10,11,14,19,30,
41,65,85,91,99,100,108,116,184,217,242,301,427],[1,3,4,6,9,10,14,18,19,28,30,
34,63,85,99,100,104,108,116,175,214,238,301,428],[1,4,6,7,8,11,14,19,30,33,65,
83,91,92,93,99,116,173,211,242,295,429],[1,3,4,6,9,10,13,14,28,30,39,44,51,85,
98,99,100,108,187,201,212,233,301,430],[1,4,5,6,9,10,14,21,24,30,32,45,48,74,
85,99,100,105,108,113,186,241,243,265,301,431],[1,2,4,5,6,9,10,14,17,25,27,30,
32,46,61,85,95,99,100,108,115,185,209,248,301,432],[1,4,5,6,9,10,14,16,24,30,
32,40,43,78,85,96,99,100,108,113,172,245,253,260,301,433],[1,2,4,5,7,9,11,24,
25,29,35,38,42,62,84,92,97,103,123,124,188,230,244,297,434],[1,2,4,5,7,9,19,
21,25,33,37,38,41,42,45,82,84,126,131,170,180,181,296,315,317,435],[1,4,6,7,8,
11,14,19,30,33,35,36,65,83,91,97,99,102,109,111,116,173,179,231,242,300,313,
314,436],[1,2,4,5,6,7,8,16,19,25,27,29,30,31,32,35,36,42,47,81,83,96,111,115,
116,122,123,130,169,178,179,255,262,307,309,314,437],[1,2,3,4,7,9,17,18,21,29,
33,34,38,39,41,71,84,117,118,170,177,188,299,312,315,438],[1,2,3,4,5,7,9,18,
20,23,24,25,33,34,37,38,39,40,41,42,45,46,76,84,118,119,125,126,127,128,129,
131,170,177,180,181,189,267,299,311,317,324,326,439],[1,3,6,9,10,12,15,28,34,
57,85,94,106,110,120,175,223,229,308,440],[1,2,4,7,9,11,16,17,29,35,38,56,84,
92,97,103,121,122,188,203,266,297,441],[1,2,4,5,6,7,8,14,17,25,27,29,30,31,32,
33,35,36,38,42,47,61,83,95,99,109,115,117,121,123,130,131,169,171,173,178,179,
209,261,303,309,310,313,322,442],[1,4,5,6,7,8,14,16,24,30,32,33,35,36,42,47,
78,83,96,99,109,113,122,124,132,173,178,179,245,264,307,313,316,443],[1,4,5,7,
9,14,21,24,33,35,40,41,46,74,84,109,127,170,174,189,298,311,315,444],[1,2,4,5,
7,9,17,19,24,29,33,38,40,41,46,73,84,117,127,170,188,189,296,311,312,445],[1,
3,6,9,10,12,28,39,44,50,85,94,110,120,187,200,232,259,308,446],[1,3,4,6,9,10,
12,13,15,28,30,41,60,85,94,98,106,110,120,184,234,246,308,447],[1,2,4,5,6,7,8,
17,19,24,27,30,32,35,36,38,42,47,73,83,95,111,113,116,121,124,132,171,178,179,
254,263,310,314,316,448],[1,3,6,9,10,15,28,39,44,53,85,106,187,205,235,236,
237,449],[1,2,4,5,7,9,14,17,25,29,33,35,37,38,41,42,45,61,84,109,117,121,123,
126,131,170,174,180,181,188,261,298,312,317,320,328,450],[1,2,4,6,7,8,11,16,
17,27,30,35,36,38,56,83,91,95,96,97,102,121,122,171,179,202,266,300,307,310,
451],[1,2,4,5,7,8,10,11,24,25,31,36,38,47,62,87,92,102,112,130,132,192,244,
257,304,452],[1,4,6,9,10,11,14,19,30,41,65,85,91,99,103,112,116,184,242,258,
305,453],[1,2,3,4,5,6,9,10,18,20,23,24,25,27,28,30,32,34,37,39,40,41,43,44,45,
46,48,76,85,101,104,113,114,115,118,119,125,126,127,128,129,133,172,175,176,
184,185,186,187,256,267,302,319,321,323,325,327,329,454],[1,2,4,7,8,10,11,16,
17,31,35,38,56,87,93,97,112,121,122,192,210,266,306,455],[1,5,6,7,8,26,32,42,
47,83,89,135,136,137,178,272,274,277,335,456],[1,4,6,7,8,26,30,35,36,83,88,
135,136,137,179,269,270,271,335,457],[1,2,6,7,8,26,27,29,31,83,90,135,136,137,
169,273,275,276,335,458],[1,3,4,9,11,12,13,15,18,34,50,52,55,57,59,60,103,110,
138,142,145,229,279,338,459],[1,3,4,9,12,13,14,15,18,39,50,51,53,54,55,57,59,
60,100,110,141,142,144,212,232,235,278,460],[1,3,4,6,12,13,14,15,18,28,30,50,
51,53,54,55,57,59,60,94,98,99,104,106,141,142,144,200,201,205,207,208,223,225,
246,278,347,366,370,461],[1,3,4,9,11,12,13,15,18,39,50,52,55,57,59,60,103,110,
138,142,145,232,279,338,462],[1,3,4,9,11,12,13,14,15,18,19,41,51,52,54,55,58,
60,63,65,103,110,138,140,141,143,146,234,258,280,338,463],[1,3,4,10,12,13,14,
15,18,44,50,51,53,54,55,57,59,60,108,120,141,142,144,233,236,237,259,278,
464],[1,2,3,4,5,7,11,12,13,16,17,18,20,21,22,23,24,25,29,35,42,52,55,56,62,66,
67,68,69,70,71,72,76,77,92,97,123,124,138,147,148,152,154,157,160,203,206,226,
230,282,337,362,363,465],[1,3,4,7,11,12,13,14,15,18,19,33,35,51,52,54,55,58,
60,63,65,92,97,109,111,138,140,141,143,146,206,211,231,280,337,343,345,466],[
1,2,3,4,5,6,11,12,13,16,17,18,20,21,22,23,24,25,27,28,30,32,52,55,56,62,66,67,
68,69,70,71,72,76,77,91,94,95,96,98,101,104,105,107,113,114,115,138,147,148,
152,154,157,160,202,204,208,216,218,219,220,222,224,227,228,239,256,282,336,
342,344,357,358,364,368,467],[1,3,4,6,11,12,13,15,18,28,30,50,52,55,57,59,60,
91,94,98,104,106,138,142,145,200,204,208,223,225,246,279,336,366,369,468],[1,
3,4,6,12,13,14,15,18,21,28,30,51,54,55,60,66,94,98,99,104,105,106,141,151,201,
207,208,222,246,285,346,347,469],[1,3,4,6,12,13,14,15,18,28,30,51,54,55,60,80,
94,98,99,104,106,141,159,201,207,208,246,250,284,347,361,470],[1,2,3,4,5,6,12,
13,14,15,17,18,20,21,22,25,27,28,30,32,51,54,55,60,61,64,66,67,71,77,94,95,98,
99,101,104,105,106,107,115,139,141,151,157,158,201,207,208,209,215,219,222,
228,239,246,287,339,346,347,353,357,471],[1,3,4,6,12,13,14,15,18,28,30,51,54,
55,59,60,94,98,99,104,106,141,145,201,207,208,225,246,281,347,369,472],[1,3,4,
6,11,12,13,14,15,18,19,28,30,51,52,54,55,58,60,63,65,91,94,98,99,104,106,116,
138,140,141,143,146,201,204,207,208,221,238,242,246,280,336,347,348,367,371,
473],[1,3,4,5,6,12,13,14,15,16,18,21,22,23,24,28,30,32,51,54,55,60,68,69,70,
74,77,78,79,94,96,98,99,104,105,106,107,113,114,141,149,150,153,154,201,207,
208,218,220,224,239,241,245,246,252,286,347,349,350,358,365,474],[1,2,3,4,5,8,
11,12,13,16,17,18,20,21,22,23,24,25,31,36,47,52,55,56,62,66,67,68,69,70,71,72,
76,77,93,102,130,132,138,147,148,152,154,157,160,210,213,251,257,282,341,378,
387,475],[1,3,4,10,11,12,13,15,18,44,50,52,55,57,59,60,112,120,138,142,145,
259,279,340,476],[1,2,3,4,5,7,11,13,15,17,18,19,20,21,22,23,24,25,35,38,42,52,
54,58,62,66,67,69,72,73,75,76,77,79,92,111,121,124,146,148,149,156,158,160,
162,206,226,244,263,290,343,354,363,477],[1,2,3,4,5,6,11,13,14,16,17,18,19,20,
21,22,23,24,25,27,28,30,32,51,52,56,58,61,62,63,64,65,67,68,69,70,71,72,73,74,
75,76,78,81,82,91,95,96,98,99,101,104,105,107,113,114,115,116,139,143,148,152,
153,161,162,163,164,165,168,201,202,204,209,215,216,218,219,220,221,224,227,
228,238,240,241,242,245,249,254,255,256,288,339,342,356,360,365,367,368,375,
379,380,381,478],[1,3,4,6,12,13,15,18,19,28,30,50,55,57,58,59,60,94,98,104,
106,116,140,142,145,200,208,221,223,225,246,283,348,366,369,479],[1,2,3,4,5,6,
11,13,15,17,18,19,20,21,22,23,24,25,27,28,30,32,52,54,58,62,66,67,69,72,73,75,
76,77,79,91,95,98,101,104,105,106,107,113,114,115,116,146,148,149,156,158,160,
162,204,207,216,218,219,221,222,227,239,240,252,254,256,290,342,349,352,353,
356,364,371,480],[1,3,4,5,6,11,13,14,16,18,19,21,22,23,24,28,30,32,51,52,58,
63,65,66,68,69,72,74,77,78,91,96,98,99,104,105,107,113,114,116,143,147,151,
153,155,156,160,201,204,218,220,221,222,227,238,239,241,242,245,293,344,346,
352,359,364,365,367,481],[1,2,3,4,5,7,11,12,13,16,17,18,20,21,22,23,24,25,35,
38,52,55,56,62,66,67,68,69,70,71,72,76,77,92,97,121,122,138,147,148,152,154,
157,160,206,244,266,282,337,354,355,482],[1,2,3,4,5,7,11,13,14,16,17,18,19,20,
21,22,23,24,25,29,33,35,38,42,51,52,56,58,61,62,63,64,65,67,68,69,70,71,72,73,
74,75,76,78,81,82,92,109,117,121,123,131,139,143,148,152,153,161,162,163,164,
165,168,203,206,211,226,244,261,288,345,354,362,376,382,483],[1,3,4,5,7,11,13,
14,16,18,19,21,22,23,24,33,35,42,51,52,58,63,65,66,68,69,72,74,77,78,92,109,
122,124,143,147,151,153,155,156,160,206,211,226,264,293,345,355,363,484],[1,2,
3,4,5,6,11,13,15,16,17,18,19,20,21,22,25,27,28,30,32,52,54,56,58,66,67,68,70,
71,72,81,82,91,95,96,98,101,104,105,106,107,115,116,146,147,150,152,155,158,
161,202,204,207,219,220,221,222,224,227,228,249,255,294,344,350,353,359,360,
368,371,485],[1,3,4,5,6,12,13,15,22,23,24,28,30,32,53,54,57,59,60,69,79,80,94,
98,106,107,113,114,144,149,159,166,167,205,207,218,223,225,246,250,252,291,
349,361,370,384,385,486],[1,2,3,4,5,6,12,13,16,17,18,19,20,21,22,23,24,25,27,
28,30,32,55,58,66,67,68,69,70,71,73,75,77,81,82,94,95,96,98,101,104,105,107,
113,114,115,116,140,154,155,156,157,161,162,208,218,219,220,221,222,224,228,
239,240,249,254,255,289,348,352,356,357,358,359,360,487],[1,2,3,4,5,7,11,13,
15,16,17,18,19,20,21,22,25,29,35,42,52,54,56,58,66,67,68,70,71,72,81,82,92,
111,122,123,146,147,150,152,155,158,161,203,206,226,262,294,343,355,362,488],[
1,3,4,6,12,13,15,16,21,28,30,53,54,57,59,60,68,80,94,96,98,105,106,144,150,
159,205,207,220,223,225,246,250,292,350,361,370,489],[1,2,3,4,5,9,11,13,14,16,
17,18,19,20,21,22,23,24,25,34,37,39,40,41,45,46,51,52,56,58,61,62,63,64,65,67,
68,69,70,71,72,73,74,75,76,78,81,82,100,118,119,125,126,127,128,129,139,143,
148,152,153,161,162,163,164,165,168,212,214,217,243,247,248,253,267,288,351,
373,374,377,383,386,388,490],[1,2,4,6,7,8,9,10,17,27,29,30,31,33,38,41,83,84,
85,86,87,95,117,169,170,171,173,184,188,192,268,303,312,396,399,491],[1,4,6,7,
8,9,10,21,30,33,41,83,84,85,86,87,105,170,173,184,268,315,396,492],[1,3,4,6,7,
8,9,10,18,28,30,33,34,39,41,44,83,84,85,86,87,104,118,170,173,175,177,183,184,
187,268,299,327,396,398,493],[1,2,4,5,6,7,8,9,10,25,27,30,32,33,37,38,41,42,
45,47,48,83,84,85,86,87,115,126,131,170,171,173,176,178,180,181,184,186,191,
193,268,317,321,322,394,395,396,494],[1,4,6,7,8,9,10,19,30,33,41,83,84,85,86,
87,116,170,173,184,268,296,396,495],[1,4,6,7,8,9,10,14,30,33,35,36,41,83,84,
85,86,87,99,109,170,173,174,179,182,184,268,298,313,396,397,496],[1,4,6,7,8,9,
10,11,30,35,36,83,84,85,86,87,91,92,93,97,102,103,112,179,268,295,297,300,304,
305,306,318,497],[1,4,5,6,7,8,9,10,24,30,32,33,40,41,43,46,83,84,85,86,87,113,
127,170,172,173,184,185,189,190,268,311,319,396,400,498],[1,2,4,5,6,7,8,9,10,
25,27,29,30,31,32,33,35,36,38,42,45,47,48,83,84,85,86,87,115,123,130,131,169,
171,173,174,178,179,181,182,186,188,191,192,193,268,309,322,328,331,394,397,
399,499],[1,2,4,6,7,8,9,10,17,27,29,30,31,33,35,36,37,38,83,84,85,86,87,95,
117,121,169,171,173,174,176,179,180,182,188,192,268,303,310,320,395,397,399,
500],[1,3,5,6,7,8,9,10,23,28,32,34,39,40,42,43,44,45,46,47,48,83,84,85,86,87,
114,125,128,133,172,175,177,178,181,183,185,186,187,189,190,191,193,268,324,
325,329,330,394,398,400,501],[1,2,3,5,6,7,8,9,10,20,27,28,32,34,37,38,39,40,
43,44,46,83,84,85,86,87,101,119,129,171,172,175,176,177,180,183,185,187,189,
190,268,302,323,326,395,398,400,502],[1,4,7,11,14,19,26,33,35,65,88,92,109,
195,211,402,503],[1,3,4,9,14,18,19,26,34,39,41,63,88,100,118,195,214,403,
504],[1,2,4,7,11,16,17,26,29,33,38,56,88,92,117,194,203,402,505],[1,2,4,5,7,
11,24,25,26,33,38,42,62,88,89,90,92,131,196,244,402,506],[1,4,5,9,14,16,24,26,
40,41,46,78,88,100,127,194,253,403,507],[1,2,4,5,9,14,22,25,26,37,41,45,64,88,
89,90,100,126,196,247,403,508],[1,2,4,5,6,16,19,25,26,27,30,32,81,88,89,90,96,
115,116,135,194,195,196,255,270,272,275,332,404,407,408,509],[1,2,4,5,7,16,19,
25,26,29,35,42,81,88,89,90,111,122,123,136,194,195,196,262,269,273,274,332,
405,406,409,510],[1,5,6,9,10,32,46,49,85,134,185,197,198,199,333,334,411,
511],[1,2,3,4,5,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,50,51,52,53,54,
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,
81,82,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,
156,157,158,159,160,161,162,163,164,165,166,167,168,278,279,280,281,282,283,
284,285,286,287,288,289,290,291,292,293,294,412,413,414,415,416,417,418,512],[
1,3,4,7,9,11,12,13,18,35,52,55,84,92,97,103,110,138,206,297,337,338,513],[1,3,
4,6,9,10,11,12,13,18,28,30,52,55,85,91,94,98,103,104,110,112,120,138,204,208,
305,308,336,338,340,514],[1,3,4,6,7,8,11,12,13,18,28,30,35,36,52,55,83,91,92,
93,94,97,98,102,104,138,179,204,206,208,213,295,300,336,337,341,421,515],[1,3,
4,7,8,10,11,12,13,18,35,36,52,55,87,92,93,97,102,112,120,138,206,213,304,306,
337,340,341,516],[1,3,4,8,9,10,11,12,13,18,36,52,55,86,93,102,103,110,112,120,
138,213,318,338,340,341,517],[1,3,4,5,6,7,8,11,13,18,21,22,23,24,28,30,32,35,
36,42,47,52,66,69,72,77,83,91,92,93,98,104,105,107,113,114,124,132,160,178,
179,204,206,213,218,222,226,227,239,251,295,316,363,364,387,420,421,518],[1,3,
4,6,7,8,11,13,15,18,19,28,30,35,36,52,54,58,83,91,92,93,98,104,106,111,116,
146,179,204,206,207,213,221,295,314,343,371,421,519],[1,2,3,4,5,6,7,8,11,13,
17,18,20,22,23,24,25,27,28,30,32,35,36,38,52,62,67,69,76,83,91,92,93,95,98,
101,104,107,113,114,115,121,148,171,179,204,206,213,216,218,219,244,256,295,
310,342,354,421,425,520],[1,2,3,4,5,6,7,8,11,13,16,17,18,20,21,22,25,27,28,29,
30,31,32,35,36,42,47,52,56,67,68,70,71,72,83,91,92,93,95,96,98,101,104,105,
107,115,123,130,152,169,178,179,202,203,204,206,210,213,219,220,224,226,227,
228,251,295,309,362,368,378,419,420,421,521],[1,3,4,6,7,8,11,13,14,18,19,28,
30,33,35,36,51,52,58,63,65,83,91,92,93,98,99,104,109,116,143,173,179,201,204,
206,211,213,221,238,242,295,313,345,367,421,429,522],[1,3,4,6,7,8,11,13,16,18,
21,28,30,35,36,52,66,68,83,91,92,93,96,98,104,105,122,147,179,204,206,213,220,
222,295,307,344,355,421,523],[1,3,4,5,6,9,10,13,14,16,21,22,23,24,28,30,32,39,
40,43,44,45,48,51,68,69,74,78,85,96,98,99,100,105,107,108,113,114,125,133,153,
172,186,187,201,212,218,220,233,241,243,245,253,260,265,301,329,365,383,390,
430,431,433,524],[1,2,4,5,6,7,8,11,14,16,17,19,24,25,27,29,30,31,32,33,38,56,
61,62,65,73,78,81,83,91,92,93,95,96,99,113,115,116,117,165,169,171,173,202,
203,209,210,211,216,242,244,245,254,255,295,303,376,380,419,425,429,525],[1,2,
3,4,5,6,9,10,14,16,18,19,20,22,23,24,25,27,28,30,32,34,37,40,43,63,64,70,75,
76,78,81,85,96,99,100,101,104,107,108,113,114,115,116,119,163,172,175,176,214,
215,224,238,240,245,247,253,255,256,260,301,302,377,381,426,428,433,526],[1,2,
4,5,6,9,10,11,14,16,17,19,24,25,27,30,32,40,41,43,46,56,61,62,65,73,78,81,85,
91,95,96,99,100,108,113,115,116,127,165,172,184,185,202,209,216,217,242,245,
248,253,254,255,260,301,319,380,386,427,432,433,527],[1,3,4,6,9,10,11,13,14,
18,19,28,30,34,39,41,44,51,52,58,63,65,85,91,98,99,100,104,108,116,118,143,
175,184,187,201,204,212,214,217,221,233,238,242,301,327,351,367,427,428,430,
528],[1,2,3,4,5,6,9,10,14,17,18,19,20,21,23,24,25,27,28,30,32,34,45,46,48,61,
63,71,73,74,76,82,85,95,99,100,101,104,105,108,113,114,115,116,128,164,175,
185,186,209,214,228,238,241,243,248,249,254,256,265,301,325,375,388,428,431,
432,529],[1,2,4,5,6,9,10,11,14,19,21,22,24,25,27,30,32,37,41,45,48,62,64,65,
72,74,75,82,85,91,99,100,105,107,108,113,115,116,126,168,176,184,186,215,216,
217,227,240,241,242,243,247,249,265,301,321,374,379,426,427,431,530],[1,2,4,5,
6,7,8,11,14,19,21,22,24,25,27,30,32,33,38,42,47,62,64,65,72,74,75,82,83,91,92,
93,99,105,107,113,115,116,131,168,171,173,178,211,215,216,226,227,240,241,242,
244,249,251,295,322,379,382,420,425,429,531],[1,2,3,4,5,6,9,10,13,14,17,20,22,
25,27,28,30,32,37,39,44,46,51,61,64,67,85,95,98,99,100,101,107,108,115,129,
139,176,185,187,201,209,212,215,219,233,247,248,301,323,339,373,426,430,432,
532],[1,2,3,4,5,7,9,14,17,18,19,20,21,23,24,25,29,33,34,35,37,38,39,40,41,42,
45,46,61,63,71,73,74,76,82,84,109,117,118,119,121,123,125,126,127,128,129,131,
164,170,174,177,180,181,188,189,261,267,296,298,299,311,312,315,317,320,324,
326,328,423,435,438,439,444,445,450,533],[1,3,4,6,9,10,12,13,15,18,28,30,34,
39,41,44,50,55,57,59,60,85,94,98,104,106,110,118,120,142,175,184,187,200,208,
223,225,229,232,234,246,259,308,327,366,372,440,446,447,534],[1,2,4,5,6,7,8,
11,14,16,17,19,24,25,27,29,30,31,32,33,35,36,38,42,47,56,61,62,65,73,78,81,83,
91,95,96,97,99,102,109,111,113,115,116,117,121,122,123,124,130,131,132,165,
169,171,173,178,179,202,209,216,230,231,242,245,254,255,257,261,262,263,264,
266,300,303,307,309,310,313,314,316,322,380,392,422,436,437,442,443,448,451,
535],[1,3,5,6,9,10,15,23,28,32,39,40,43,44,45,48,53,79,80,85,106,114,125,133,
166,172,186,187,205,235,236,237,250,252,329,385,389,391,393,449,536],[1,2,4,5,
7,9,11,14,16,17,19,24,25,29,33,35,38,41,42,56,61,62,65,73,78,81,84,92,97,103,
109,111,117,121,122,123,124,131,165,170,188,203,211,230,231,244,258,261,262,
263,264,266,297,312,376,392,424,434,441,537],[1,3,9,12,15,34,49,57,110,198,
229,538],[1,3,6,12,28,49,50,94,197,200,401,539],[1,3,10,12,44,49,50,120,199,
259,401,540],[1,4,9,11,14,19,41,49,65,100,103,198,217,258,541],[1,3,10,12,44,
49,50,120,199,259,401,542],[1,3,9,12,39,49,50,110,198,232,401,543],[1,4,7,9,
11,26,33,35,84,88,92,97,103,136,174,269,297,402,544],[1,4,6,7,8,11,26,30,33,
83,88,91,92,93,135,173,270,295,402,545],[1,4,7,8,10,11,26,33,36,87,88,92,102,
112,137,182,271,304,402,546],[1,4,6,9,10,14,26,30,41,85,88,99,100,108,135,184,
270,301,403,547],[1,2,4,5,6,7,8,25,26,27,29,30,31,32,35,36,42,47,83,88,89,90,
115,123,130,135,136,137,169,178,179,196,269,270,271,272,273,274,275,276,277,
309,335,407,409,410,456,457,458,548],[1,4,6,7,8,16,26,30,35,36,83,88,96,122,
135,136,137,179,194,269,270,271,307,335,404,406,457,549],[1,4,6,7,8,19,26,30,
35,36,83,88,111,116,135,136,137,179,195,269,270,271,314,335,405,408,457,550],[
1,2,3,4,5,6,12,13,14,15,17,18,20,21,22,25,27,28,30,32,50,51,53,54,55,57,59,60,
61,64,66,67,71,77,94,95,98,99,101,104,105,106,107,115,139,141,142,144,151,157,
158,200,201,205,207,208,209,215,219,222,223,225,228,239,246,278,285,287,339,
346,347,353,357,366,370,412,461,469,471,551],[1,3,4,9,11,12,13,14,15,18,19,34,
39,41,50,51,52,53,54,55,57,58,59,60,63,65,100,110,118,138,140,141,142,143,144,
145,146,212,214,217,229,232,234,235,278,279,280,281,283,351,372,413,460,552],[
1,3,4,9,11,12,13,14,15,18,19,34,39,41,50,51,52,53,54,55,57,58,59,60,63,65,103,
110,118,138,140,141,142,143,144,145,146,229,232,234,258,278,279,280,281,283,
338,372,413,459,462,463,553],[1,2,3,4,5,6,11,12,13,14,15,16,17,18,19,20,21,22,
23,24,25,27,28,30,32,51,52,54,55,56,58,60,61,62,63,64,65,66,67,68,69,70,71,72,
73,74,75,76,77,78,79,81,82,91,94,95,96,98,99,101,104,105,106,107,113,114,115,
116,138,139,140,141,143,146,147,148,149,150,151,152,153,154,155,156,157,158,
160,161,162,163,164,165,168,201,202,204,207,208,209,215,216,218,219,220,221,
222,224,227,228,238,239,240,241,242,245,246,249,252,254,255,256,280,282,286,
287,288,289,290,293,294,336,339,342,344,346,347,348,349,350,352,353,356,357,
358,359,360,364,365,367,368,371,375,379,380,381,417,467,471,473,474,478,480,
481,485,487,554],[1,3,4,6,11,12,13,14,15,18,19,21,28,30,51,52,54,55,58,60,63,
65,66,80,91,94,98,99,104,105,106,116,138,140,141,143,146,151,159,201,204,207,
208,221,222,238,242,246,250,280,284,285,336,346,347,348,361,367,371,414,469,
470,473,555],[1,3,4,5,9,12,13,14,15,16,18,21,22,23,24,39,40,45,50,51,53,54,55,
57,59,60,68,69,70,74,77,78,79,80,100,110,125,141,142,144,149,150,153,154,159,
166,167,212,232,235,243,253,278,284,286,291,292,383,393,418,460,556],[1,3,4,5,
6,12,13,14,15,16,18,21,22,23,24,28,30,32,51,54,55,59,60,66,68,69,70,74,77,78,
79,94,96,98,99,104,105,106,107,113,114,141,145,149,150,151,153,154,201,207,
208,218,220,222,224,225,239,241,245,246,252,281,285,286,346,347,349,350,358,
365,369,415,469,472,474,557],[1,3,4,5,6,12,13,14,15,16,18,21,22,23,24,28,30,
32,50,51,53,54,55,57,59,60,68,69,70,74,77,78,79,80,94,96,98,99,104,105,106,
107,113,114,141,142,144,149,150,153,154,159,166,167,200,201,205,207,208,218,
220,223,224,225,239,241,245,246,250,252,278,284,286,291,292,347,349,350,358,
361,365,366,370,384,385,418,461,470,474,486,489,558],[1,3,4,6,11,12,13,14,15,
18,19,28,30,50,51,52,53,54,55,57,58,59,60,63,65,91,94,98,99,104,106,116,138,
140,141,142,143,144,145,146,200,201,204,205,207,208,221,223,225,238,242,246,
278,279,280,281,283,336,347,348,366,367,369,370,371,413,461,468,472,473,479,
559],[1,2,3,4,5,6,12,13,14,15,17,18,20,21,22,25,27,28,30,32,51,54,55,59,60,61,
64,66,67,71,77,80,94,95,98,99,101,104,105,106,107,115,139,141,145,151,157,158,
159,201,207,208,209,215,219,222,225,228,239,246,250,281,284,287,339,346,347,
353,357,361,369,416,470,471,472,560],[1,2,3,4,5,9,12,13,14,15,17,18,20,21,22,
25,37,39,46,50,51,53,54,55,57,59,60,61,64,66,67,71,77,100,110,129,139,141,142,
144,151,157,158,212,232,235,247,248,278,285,287,373,412,460,561],[1,2,3,4,5,7,
11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,29,33,35,38,42,51,52,54,55,56,58,
60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,81,82,92,97,109,
111,117,121,122,123,124,131,138,139,140,141,143,146,147,148,149,150,151,152,
153,154,155,156,157,158,160,161,162,163,164,165,168,203,206,211,226,230,231,
244,261,262,263,264,266,280,282,286,287,288,289,290,293,294,337,343,345,354,
355,362,363,376,382,392,417,465,466,477,482,483,484,488,562],[1,3,4,5,10,12,
13,14,15,16,18,21,22,23,24,43,44,48,50,51,53,54,55,57,59,60,68,69,70,74,77,78,
79,80,108,120,133,141,142,144,149,150,153,154,159,166,167,233,236,237,259,260,
265,278,284,286,291,292,389,390,391,418,464,563],[1,2,4,6,7,8,9,10,11,16,17,
27,29,30,31,35,36,38,56,83,84,85,86,87,91,92,93,95,96,97,102,103,112,121,122,
169,171,179,188,192,202,203,210,266,268,295,297,300,304,305,306,307,310,318,
399,419,441,451,455,497,564],[1,4,6,7,8,9,10,11,14,19,30,33,35,36,41,65,83,84,
85,86,87,91,92,93,97,99,102,103,109,111,112,116,170,173,179,184,211,231,242,
258,268,295,297,300,304,305,306,313,314,318,396,424,429,436,453,497,565],[1,3,
4,6,7,8,9,10,14,18,19,28,30,33,34,35,36,39,41,44,63,83,84,85,86,87,99,104,109,
116,118,170,173,174,175,177,179,182,183,184,187,238,268,296,298,299,313,327,
396,397,398,423,493,495,496,566],[1,4,5,6,7,8,9,10,14,21,24,30,32,33,35,36,40,
41,43,46,74,83,84,85,86,87,99,105,109,113,127,170,172,173,174,179,182,184,185,
189,190,241,268,298,311,313,315,319,396,397,400,444,492,496,498,567],[1,2,3,4,
5,6,7,8,9,10,18,20,23,24,25,27,28,30,32,33,34,37,38,39,40,41,42,43,44,45,46,
47,48,76,83,84,85,86,87,101,104,113,114,115,118,119,125,126,127,128,129,131,
133,170,171,172,173,175,176,177,178,180,181,183,184,185,186,187,189,190,191,
193,256,267,268,299,302,311,317,319,321,322,323,324,325,326,327,329,330,394,
395,396,398,400,439,454,493,494,498,501,502,568],[1,2,3,4,6,7,8,9,10,17,18,21,
27,28,29,30,31,33,34,38,39,41,44,71,83,84,85,86,87,95,104,105,117,118,169,170,
171,173,175,177,183,184,187,188,192,228,268,299,303,312,315,327,396,398,399,
438,491,492,493,569],[1,2,4,5,6,7,8,9,10,14,17,25,27,29,30,31,32,33,35,36,37,
38,41,42,45,47,48,61,83,84,85,86,87,95,99,109,115,117,121,123,126,130,131,169,
170,171,173,174,176,178,179,180,181,182,184,186,188,191,192,193,209,261,268,
298,303,309,310,312,313,317,320,321,322,328,331,394,395,396,397,399,442,450,
491,494,496,499,500,570],[1,2,4,5,6,7,8,9,10,11,24,25,27,29,30,31,32,35,36,38,
42,47,62,83,84,85,86,87,91,92,93,97,102,103,112,113,115,123,124,130,132,169,
171,178,179,188,192,216,230,244,257,268,295,297,300,304,305,306,309,316,318,
399,422,425,434,452,497,571],[1,2,4,5,6,7,8,9,10,19,21,25,27,30,32,33,37,38,
41,42,45,47,48,82,83,84,85,86,87,105,115,116,126,131,170,171,173,176,178,180,
181,184,186,191,193,249,268,296,315,317,321,322,394,395,396,435,492,494,495,
572],[1,2,4,5,6,7,8,9,10,17,19,24,27,29,30,31,32,33,38,40,41,43,46,73,83,84,
85,86,87,95,113,116,117,127,169,170,171,172,173,184,185,188,189,190,192,254,
268,296,303,311,312,319,396,399,400,445,491,495,498,573],[1,2,4,5,7,11,14,16,
17,19,24,25,26,29,33,35,38,42,56,61,62,65,73,78,81,88,89,90,92,109,117,121,
123,131,165,194,195,196,203,211,244,261,332,376,402,503,505,506,574],[1,2,3,4,
5,9,14,16,18,19,20,22,23,24,25,26,34,37,39,40,41,45,46,63,64,70,75,76,78,81,
88,89,90,100,118,119,125,126,127,128,129,163,194,195,196,214,247,253,267,332,
377,403,504,507,508,575],[1,3,4,7,9,11,12,13,14,15,18,19,33,35,41,51,52,54,55,
58,60,63,65,84,92,97,103,109,110,111,138,140,141,143,146,170,206,211,231,234,
258,280,297,337,338,343,345,424,463,466,513,576],[1,2,3,4,5,6,7,8,11,12,13,16,
17,18,20,21,22,23,24,25,27,28,29,30,31,32,35,36,42,47,52,55,56,62,66,67,68,69,
70,71,72,76,77,83,91,92,93,94,95,96,97,98,101,102,104,105,107,113,114,115,123,
124,130,132,138,147,148,152,154,157,160,169,178,179,202,203,204,206,208,210,
213,216,218,219,220,222,224,226,227,228,230,239,251,256,257,282,295,300,309,
316,336,337,341,342,344,357,358,362,363,364,368,378,387,419,420,421,422,465,
467,475,515,518,521,577],[1,3,4,6,9,10,11,12,13,15,18,28,30,34,50,52,55,57,59,
60,85,91,94,98,103,104,106,110,112,120,138,142,145,175,200,204,208,223,225,
229,246,279,305,308,336,338,340,366,369,440,459,468,514,578],[1,3,4,7,9,11,12,
13,15,18,34,35,39,50,52,55,57,59,60,84,92,97,103,110,138,142,145,177,206,229,
232,279,297,337,338,459,462,513,579],[1,3,4,6,9,10,12,13,14,15,18,28,30,39,44,
50,51,53,54,55,57,59,60,85,94,98,99,100,104,106,108,110,120,141,142,144,187,
200,201,205,207,208,212,223,225,232,233,235,236,237,246,259,278,301,308,347,
366,370,430,446,449,460,461,464,580],[1,3,4,8,9,10,11,12,13,15,18,34,36,44,50,
52,55,57,59,60,86,93,102,103,110,112,120,138,142,145,183,213,229,259,279,318,
338,340,341,459,476,517,581],[1,3,4,6,9,10,11,12,13,14,15,18,19,28,30,41,51,
52,54,55,58,60,63,65,85,91,94,98,99,103,104,106,110,112,116,120,138,140,141,
143,146,184,201,204,207,208,221,234,238,242,246,258,280,305,308,336,338,340,
347,348,367,371,447,453,463,473,514,582],[1,2,3,4,5,6,7,8,11,13,14,16,17,18,
19,20,21,22,23,24,25,27,28,29,30,31,32,33,35,36,38,42,47,51,52,56,58,61,62,63,
64,65,67,68,69,70,71,72,73,74,75,76,78,81,82,83,91,92,93,95,96,98,99,101,104,
105,107,109,113,114,115,116,117,121,123,130,131,139,143,148,152,153,161,162,
163,164,165,168,169,171,173,178,179,201,202,203,204,206,209,210,211,213,215,
216,218,219,220,221,224,226,227,228,238,240,241,242,244,245,249,251,254,255,
256,261,288,295,303,309,310,313,322,339,342,345,354,356,360,362,365,367,368,
375,376,378,379,380,381,382,419,420,421,425,429,442,478,483,520,521,522,525,
531,583],[1,2,3,4,5,7,9,11,12,13,16,17,18,20,21,22,23,24,25,29,35,38,42,52,55,
56,62,66,67,68,69,70,71,72,76,77,84,92,97,103,110,121,122,123,124,138,147,148,
152,154,157,160,188,203,206,226,230,244,266,282,297,337,338,354,355,362,363,
434,441,465,482,513,584],[1,2,3,4,5,6,7,8,11,13,15,17,18,19,20,21,22,23,24,25,
27,28,30,32,35,36,38,42,47,52,54,58,62,66,67,69,72,73,75,76,77,79,83,91,92,93,
95,98,101,104,105,106,107,111,113,114,115,116,121,124,132,146,148,149,156,158,
160,162,171,178,179,204,206,207,213,216,218,219,221,222,226,227,239,240,244,
251,252,254,256,263,290,295,310,314,316,342,343,349,352,353,354,356,363,364,
371,387,420,421,425,448,477,480,518,519,520,585],[1,3,4,5,6,7,8,11,13,14,16,
18,19,21,22,23,24,28,30,32,33,35,36,42,47,51,52,58,63,65,66,68,69,72,74,77,78,
83,91,92,93,96,98,99,104,105,107,109,113,114,116,122,124,132,143,147,151,153,
155,156,160,173,178,179,201,204,206,211,213,218,220,221,222,226,227,238,239,
241,242,245,251,264,293,295,307,313,316,344,345,346,352,355,359,363,364,365,
367,387,420,421,429,443,481,484,518,522,523,586],[1,2,3,4,5,6,7,8,11,13,15,16,
17,18,19,20,21,22,25,27,28,29,30,31,32,35,36,42,47,52,54,56,58,66,67,68,70,71,
72,81,82,83,91,92,93,95,96,98,101,104,105,106,107,111,115,116,122,123,130,146,
147,150,152,155,158,161,169,178,179,202,203,204,206,207,210,213,219,220,221,
222,224,226,227,228,249,251,255,262,294,295,307,309,314,343,344,350,353,355,
359,360,362,368,371,378,419,420,421,437,485,488,519,521,523,587],[1,2,3,4,5,6,
7,8,11,12,13,16,17,18,20,21,22,23,24,25,27,28,30,32,35,36,38,52,55,56,62,66,
67,68,69,70,71,72,76,77,83,91,92,93,94,95,96,97,98,101,102,104,105,107,113,
114,115,121,122,138,147,148,152,154,157,160,171,179,202,204,206,208,213,216,
218,219,220,222,224,227,228,239,244,256,266,282,295,300,307,310,336,337,341,
342,344,354,355,357,358,364,368,421,425,451,467,482,515,520,523,588],[1,3,4,6,
9,10,11,12,13,15,18,28,30,39,44,50,52,55,57,59,60,85,91,94,98,103,104,106,110,
112,120,138,142,145,187,200,204,208,223,225,232,246,259,279,305,308,336,338,
340,366,369,446,462,468,476,514,589],[1,3,4,6,7,8,11,12,13,14,15,18,19,28,30,
33,35,36,51,52,54,55,58,60,63,65,83,91,92,93,94,97,98,99,102,104,106,109,111,
116,138,140,141,143,146,173,179,201,204,206,207,208,211,213,221,231,238,242,
246,280,295,300,313,314,336,337,341,343,345,347,348,367,371,421,429,436,466,
473,515,519,522,590],[1,2,3,4,5,7,8,10,11,12,13,16,17,18,20,21,22,23,24,25,31,
35,36,38,47,52,55,56,62,66,67,68,69,70,71,72,76,77,87,92,93,97,102,112,120,
121,122,130,132,138,147,148,152,154,157,160,192,206,210,213,244,251,257,266,
282,304,306,337,340,341,354,355,378,387,452,455,475,482,516,591],[1,2,3,4,5,6,
9,10,11,13,14,16,17,18,19,20,21,22,23,24,25,27,28,30,32,34,37,39,40,41,43,44,
45,46,48,51,52,56,58,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,78,81,82,85,
91,95,96,98,99,100,101,104,105,107,108,113,114,115,116,118,119,125,126,127,
128,129,133,139,143,148,152,153,161,162,163,164,165,168,172,175,176,184,185,
186,187,201,202,204,209,212,214,215,216,217,218,219,220,221,224,227,228,233,
238,240,241,242,243,245,247,248,249,253,254,255,256,260,265,267,288,301,302,
319,321,323,325,327,329,339,342,351,356,360,365,367,368,373,374,375,377,379,
380,381,383,386,388,390,426,427,428,430,431,432,433,454,478,490,524,526,527,
528,529,530,532,592],[1,3,5,9,12,15,23,34,45,46,49,57,79,80,110,128,134,167,
198,229,334,538,593],[1,4,7,9,11,14,19,26,33,41,65,84,88,92,100,170,211,217,
296,402,403,594],[1,2,4,6,7,8,11,16,17,26,27,29,30,31,33,38,56,83,88,91,92,93,
95,96,117,135,169,171,173,194,202,203,210,270,295,303,402,404,419,505,545,
595],[1,4,7,9,11,14,19,26,33,35,41,65,84,88,92,97,103,109,111,136,170,174,195,
211,231,258,269,297,298,402,405,424,503,544,596],[1,2,4,5,7,9,11,24,25,26,29,
33,35,38,42,45,62,84,88,89,90,92,97,103,123,124,131,136,174,181,188,196,230,
244,269,273,274,297,328,402,409,434,506,544,597],[1,4,6,7,8,11,14,19,26,30,33,
35,36,65,83,88,91,92,93,99,109,116,135,173,179,195,211,242,270,295,313,402,
408,429,503,545,598],[1,2,4,5,6,7,8,11,24,25,26,27,30,32,33,38,42,47,62,83,88,
89,90,91,92,93,113,115,131,135,171,173,178,196,216,244,270,272,275,295,322,
402,407,425,506,545,599],[1,3,4,6,9,10,14,18,19,26,28,30,34,39,41,44,63,85,88,
99,100,104,108,116,118,135,175,184,187,195,214,238,270,301,327,403,408,428,
504,547,600],[1,2,4,5,6,9,10,14,22,25,26,27,30,32,37,41,45,48,64,85,88,89,90,
99,100,107,108,115,126,135,176,184,186,196,215,247,270,272,275,301,321,403,
407,426,508,547,601],[1,2,4,7,9,11,16,17,26,29,33,35,37,38,56,84,88,92,97,103,
117,121,122,136,174,180,188,194,203,266,269,297,320,402,406,441,505,544,602],[
1,4,5,6,9,10,14,16,24,26,30,32,40,41,43,46,78,85,88,96,99,100,108,113,127,135,
172,184,185,194,245,253,260,270,301,319,403,404,433,507,547,603],[1,2,4,5,6,7,
8,16,19,25,26,27,29,30,31,32,35,36,42,47,81,83,88,89,90,96,111,115,116,122,
123,130,135,136,137,169,178,179,194,195,196,255,262,269,270,271,272,273,274,
275,276,277,307,309,314,332,335,404,405,406,407,408,409,410,437,456,457,458,
509,510,548,549,550,604],[1,2,4,5,7,8,10,11,24,25,26,31,33,36,38,42,47,48,62,
87,88,89,90,92,102,112,130,131,132,137,182,191,192,196,244,257,271,276,277,
304,331,402,410,452,506,546,605],[1,2,3,4,5,6,11,12,13,14,15,16,17,18,19,20,
21,22,23,24,25,27,28,30,32,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,
67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,91,94,95,96,98,99,101,104,105,
106,107,113,114,115,116,138,139,140,141,142,143,144,145,146,147,148,149,150,
151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,200,
201,202,204,205,207,208,209,215,216,218,219,220,221,222,223,224,225,227,228,
238,239,240,241,242,245,246,249,250,252,254,255,256,278,279,280,281,282,283,
284,285,286,287,288,289,290,291,292,293,294,336,339,342,344,346,347,348,349,
350,352,353,356,357,358,359,360,361,364,365,366,367,368,369,370,371,375,379,
380,381,384,385,412,413,414,415,416,417,418,461,467,468,469,470,471,472,473,
474,478,479,480,481,485,486,487,489,512,551,554,555,557,558,559,560,606],[1,2,
3,4,5,9,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,34,37,39,40,41,45,46,50,
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,
77,78,79,80,81,82,100,110,118,119,125,126,127,128,129,138,139,140,141,142,143,
144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,
163,164,165,166,167,168,212,214,217,229,232,234,235,243,247,248,253,267,278,
279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,351,372,373,
374,377,383,386,388,393,412,413,414,415,416,417,418,460,490,512,552,556,561,
607],[1,3,4,6,7,8,9,10,11,12,13,18,28,30,35,36,52,55,83,84,85,86,87,91,92,93,
94,97,98,102,103,104,110,112,120,138,179,204,206,208,213,268,295,297,300,304,
305,306,308,318,336,337,338,340,341,421,497,513,514,515,516,517,608],[1,2,3,4,
5,6,7,8,9,10,14,17,18,19,20,21,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,
39,40,41,42,43,44,45,46,47,48,61,63,71,73,74,76,82,83,84,85,86,87,95,99,101,
104,105,109,113,114,115,116,117,118,119,121,123,125,126,127,128,129,130,131,
133,164,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,
186,187,188,189,190,191,192,193,209,228,238,241,249,254,256,261,267,268,296,
298,299,302,303,309,310,311,312,313,315,317,319,320,321,322,323,324,325,326,
327,328,329,330,331,375,394,395,396,397,398,399,400,423,435,438,439,442,444,
445,450,454,491,492,493,494,495,496,498,499,500,501,502,533,566,567,568,569,
570,572,573,609],[1,2,4,5,6,7,8,9,10,11,14,16,17,19,24,25,27,29,30,31,32,33,
35,36,38,41,42,47,56,61,62,65,73,78,81,83,84,85,86,87,91,92,93,95,96,97,99,
102,103,109,111,112,113,115,116,117,121,122,123,124,130,131,132,165,169,170,
171,173,178,179,184,188,192,202,203,209,210,211,216,230,231,242,244,245,254,
255,257,258,261,262,263,264,266,268,295,297,300,303,304,305,306,307,309,310,
312,313,314,316,318,322,376,380,392,396,399,419,422,424,425,429,434,436,437,
441,442,443,448,451,452,453,455,491,497,525,535,537,564,565,571,610],[1,3,6,9,
10,12,15,28,34,49,57,85,94,106,110,120,175,197,198,199,223,229,308,411,440,
538,611],[1,4,6,9,10,11,14,19,30,41,49,65,85,91,99,100,103,108,112,116,184,
197,198,199,217,242,258,301,305,411,427,453,541,612],[1,3,6,9,10,12,28,39,44,
49,50,85,94,110,120,187,197,198,199,200,232,259,308,401,411,446,539,540,542,
543,613],[1,4,6,7,8,9,10,11,26,30,33,35,36,83,84,85,86,87,88,91,92,93,97,102,
103,112,135,136,137,173,174,179,182,268,269,270,271,295,297,300,304,305,306,
318,335,397,402,457,497,544,545,546,614],[1,3,4,7,9,11,12,13,14,15,18,19,33,
34,35,39,41,50,51,52,53,54,55,57,58,59,60,63,65,84,92,97,103,109,110,111,118,
138,140,141,142,143,144,145,146,170,177,206,211,229,231,232,234,258,278,279,
280,281,283,297,299,337,338,343,345,372,413,424,459,462,463,466,513,553,576,
579,615],[1,2,3,4,5,6,9,10,12,13,14,15,17,18,20,21,22,25,27,28,30,32,37,39,44,
46,50,51,53,54,55,57,59,60,61,64,66,67,71,77,85,94,95,98,99,100,101,104,105,
106,107,108,110,115,120,129,139,141,142,144,151,157,158,176,185,187,200,201,
205,207,208,209,212,215,219,222,223,225,228,232,233,235,236,237,239,246,247,
248,259,278,285,287,301,308,323,339,346,347,353,357,366,370,373,412,426,430,
432,446,449,460,461,464,469,471,532,551,561,580,616],[1,3,4,6,9,10,11,12,13,
14,15,18,19,28,30,34,39,41,44,50,51,52,53,54,55,57,58,59,60,63,65,85,91,94,98,
99,100,104,106,108,110,116,118,120,138,140,141,142,143,144,145,146,175,184,
187,200,201,204,205,207,208,212,214,217,221,223,225,229,232,233,234,235,236,
237,238,242,246,259,278,279,280,281,283,301,308,327,336,347,348,351,366,367,
369,370,371,372,413,427,428,430,440,446,447,449,460,461,464,468,472,473,479,
528,534,552,559,580,617],[1,2,3,4,5,7,9,11,12,13,14,15,16,17,18,19,20,21,22,
23,24,25,29,33,35,38,41,42,51,52,54,55,56,58,60,61,62,63,64,65,66,67,68,69,70,
71,72,73,74,75,76,77,78,79,81,82,84,92,97,103,109,110,111,117,121,122,123,124,
131,138,139,140,141,143,146,147,148,149,150,151,152,153,154,155,156,157,158,
160,161,162,163,164,165,168,170,188,203,206,211,226,230,231,234,244,258,261,
262,263,264,266,280,282,286,287,288,289,290,293,294,297,312,337,338,343,345,
354,355,362,363,376,382,392,417,424,434,441,463,465,466,477,482,483,484,488,
513,537,562,576,584,618],[1,3,4,7,9,11,12,13,14,15,18,19,21,33,35,41,51,52,54,
55,58,60,63,65,66,80,84,92,97,103,109,110,111,138,140,141,143,146,151,159,170,
206,211,231,234,258,280,284,285,297,315,337,338,343,345,414,424,463,466,513,
576,619],[1,3,4,5,6,9,10,12,13,14,15,16,18,21,22,23,24,28,30,32,39,40,43,44,
45,48,50,51,53,54,55,57,59,60,68,69,70,74,77,78,79,80,85,94,96,98,99,100,104,
105,106,107,108,110,113,114,120,125,133,141,142,144,149,150,153,154,159,166,
167,172,186,187,200,201,205,207,208,212,218,220,223,224,225,232,233,235,236,
237,239,241,243,245,246,250,252,253,259,260,265,278,284,286,291,292,301,308,
329,347,349,350,358,361,365,366,370,383,384,385,389,390,391,393,418,430,431,
433,446,449,460,461,464,470,474,486,489,524,536,556,558,563,580,620],[1,2,3,4,
5,6,7,8,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,27,28,29,30,31,32,33,35,
36,38,42,47,51,52,54,55,56,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,
76,77,78,79,81,82,83,91,92,93,94,95,96,97,98,99,101,102,104,105,106,107,109,
111,113,114,115,116,117,121,122,123,124,130,131,132,138,139,140,141,143,146,
147,148,149,150,151,152,153,154,155,156,157,158,160,161,162,163,164,165,168,
169,171,173,178,179,201,202,203,204,206,207,208,209,210,211,213,215,216,218,
219,220,221,222,224,226,227,228,230,231,238,239,240,241,242,244,245,246,249,
251,252,254,255,256,257,261,262,263,264,266,280,282,286,287,288,289,290,293,
294,295,300,303,307,309,310,313,314,316,322,336,337,339,341,342,343,344,345,
346,347,348,349,350,352,353,354,355,356,357,358,359,360,362,363,364,365,367,
368,371,375,376,378,379,380,381,382,387,392,417,419,420,421,422,425,429,436,
437,442,443,448,451,465,466,467,471,473,474,475,477,478,480,481,482,483,484,
485,487,488,515,518,519,520,521,522,523,525,531,535,554,562,577,583,585,586,
587,588,590,621],[1,3,4,6,9,10,11,12,13,14,15,18,19,28,30,34,39,41,44,50,51,
52,53,54,55,57,58,59,60,63,65,85,91,94,98,99,103,104,106,110,112,116,118,120,
138,140,141,142,143,144,145,146,175,184,187,200,201,204,205,207,208,221,223,
225,229,232,234,238,242,246,258,259,278,279,280,281,283,305,308,327,336,338,
340,347,348,366,367,369,370,371,372,413,440,446,447,453,459,461,462,463,468,
472,473,476,479,514,534,553,559,578,582,589,622],[1,3,4,7,9,11,13,14,18,19,26,
33,34,35,39,41,51,52,58,63,65,84,88,92,100,109,118,143,170,174,177,195,206,
211,212,214,217,296,298,299,345,351,402,403,423,503,504,594,623],[1,2,4,5,7,9,
11,14,19,21,22,24,25,26,33,37,38,41,42,45,62,64,65,72,74,75,82,84,88,89,90,92,
100,126,131,168,170,180,181,196,211,217,226,243,244,247,296,315,317,374,382,
402,403,435,506,508,594,624],[1,2,4,5,7,9,11,14,16,17,19,24,25,26,29,33,38,40,
41,46,56,61,62,65,73,78,81,84,88,92,100,117,127,165,170,188,189,194,203,211,
217,244,248,253,296,311,312,376,386,402,403,445,505,507,594,625],[1,2,4,5,7,9,
11,14,16,17,19,24,25,26,29,33,35,37,38,41,42,45,56,61,62,65,73,78,81,84,88,89,
90,92,97,103,109,111,117,121,122,123,124,126,131,136,165,170,174,180,181,188,
194,195,196,203,211,230,231,244,258,261,262,263,264,266,269,273,274,297,298,
312,317,320,328,332,376,392,402,405,406,409,424,434,441,450,503,505,506,510,
537,544,574,596,597,602,626],[1,2,3,4,5,6,9,10,14,16,18,19,20,22,23,24,25,26,
27,28,30,32,34,37,39,40,41,43,44,45,46,48,63,64,70,75,76,78,81,85,88,89,90,96,
99,100,101,104,107,108,113,114,115,116,118,119,125,126,127,128,129,133,135,
163,172,175,176,184,185,186,187,194,195,196,214,215,224,238,240,245,247,253,
255,256,260,267,270,272,275,301,302,319,321,323,325,327,329,332,377,381,403,
404,407,408,426,428,433,454,504,507,508,509,526,547,575,600,601,603,627],[1,2,
4,5,6,7,8,11,14,16,17,19,24,25,26,27,29,30,31,32,33,35,36,38,42,47,56,61,62,
65,73,78,81,83,88,89,90,91,92,93,95,96,99,109,113,115,116,117,121,123,130,131,
135,165,169,171,173,178,179,194,195,196,202,203,209,210,211,216,242,244,245,
254,255,261,270,272,275,295,303,309,310,313,322,332,376,380,402,404,407,408,
419,425,429,442,503,505,506,509,525,545,574,595,598,599,628],[1,3,4,6,7,8,9,
10,11,12,13,14,15,18,19,28,30,33,35,36,41,51,52,54,55,58,60,63,65,83,84,85,86,
87,91,92,93,94,97,98,99,102,103,104,106,109,110,111,112,116,120,138,140,141,
143,146,170,173,179,184,201,204,206,207,208,211,213,221,231,234,238,242,246,
258,268,280,295,297,300,304,305,306,308,313,314,318,336,337,338,340,341,343,
345,347,348,367,371,396,421,424,429,436,447,453,463,466,473,497,513,514,515,
516,517,519,522,565,576,582,590,608,629],[1,2,3,4,5,6,7,8,9,10,11,12,13,16,17,
18,20,21,22,23,24,25,27,28,29,30,31,32,35,36,38,42,47,52,55,56,62,66,67,68,69,
70,71,72,76,77,83,84,85,86,87,91,92,93,94,95,96,97,98,101,102,103,104,105,107,
110,112,113,114,115,120,121,122,123,124,130,132,138,147,148,152,154,157,160,
169,171,178,179,188,192,202,203,204,206,208,210,213,216,218,219,220,222,224,
226,227,228,230,239,244,251,256,257,266,268,282,295,297,300,304,305,306,307,
308,309,310,316,318,336,337,338,340,341,342,344,354,355,357,358,362,363,364,
368,378,387,399,419,420,421,422,425,434,441,451,452,455,465,467,475,482,497,
513,514,515,516,517,518,520,521,523,564,571,577,584,588,591,608,630],[1,3,4,6,
7,8,9,10,11,12,13,15,18,28,30,34,35,36,39,44,50,52,55,57,59,60,83,84,85,86,87,
91,92,93,94,97,98,102,103,104,106,110,112,120,138,142,145,175,177,179,183,187,
200,204,206,208,213,223,225,229,232,246,259,268,279,295,297,300,304,305,306,
308,318,336,337,338,340,341,366,369,398,421,440,446,459,462,468,476,497,513,
514,515,516,517,578,579,581,589,608,631],[1,3,5,6,9,10,12,15,23,28,32,34,45,
46,48,49,57,79,80,85,94,106,110,114,120,128,134,167,175,185,186,197,198,199,
223,229,250,252,308,325,333,334,384,411,440,511,538,593,611,632],[1,4,6,7,8,9,
10,11,14,19,26,30,33,41,65,83,84,85,86,87,88,91,92,93,99,100,108,116,135,170,
173,184,211,217,242,268,270,295,296,301,396,402,403,427,429,495,545,547,594,
633],[1,4,6,7,8,9,10,11,14,19,26,30,33,35,36,41,65,83,84,85,86,87,88,91,92,93,
97,99,102,103,109,111,112,116,135,136,137,170,173,174,179,182,184,195,211,231,
242,258,268,269,270,271,295,297,298,300,304,305,306,313,314,318,335,396,397,
402,405,408,424,429,436,453,457,496,497,503,544,545,546,550,565,596,598,614,
634],[1,2,4,6,7,8,9,10,11,16,17,26,27,29,30,31,33,35,36,37,38,56,83,84,85,86,
87,88,91,92,93,95,96,97,102,103,112,117,121,122,135,136,137,169,171,173,174,
176,179,180,182,188,192,194,202,203,210,266,268,269,270,271,295,297,300,303,
304,305,306,307,310,318,320,335,395,397,399,402,404,406,419,441,451,455,457,
497,500,505,544,545,546,549,564,595,602,614,635],[1,2,4,5,6,7,8,9,10,11,24,25,
26,27,29,30,31,32,33,35,36,38,42,45,47,48,62,83,84,85,86,87,88,89,90,91,92,93,
97,102,103,112,113,115,123,124,130,131,132,135,136,137,169,171,173,174,178,
179,181,182,186,188,191,192,193,196,216,230,244,257,268,269,270,271,272,273,
274,275,276,277,295,297,300,304,305,306,309,316,318,322,328,331,335,394,397,
399,402,407,409,410,422,425,434,452,456,457,458,497,499,506,544,545,546,548,
571,597,599,605,614,636],[1,2,3,4,5,7,9,11,12,13,14,15,16,17,18,19,20,21,22,
23,24,25,29,33,34,35,38,39,41,42,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,
65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,84,92,97,103,109,110,
111,117,118,121,122,123,124,131,138,139,140,141,142,143,144,145,146,147,148,
149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,
168,170,177,188,203,206,211,226,229,230,231,232,234,244,258,261,262,263,264,
266,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,297,
299,312,315,337,338,343,345,354,355,362,363,372,376,382,392,412,413,414,415,
416,417,418,424,434,438,441,459,462,463,465,466,477,482,483,484,488,512,513,
537,553,562,576,579,584,615,618,619,637],[1,2,3,4,5,6,9,10,11,12,13,14,15,16,
17,18,19,20,21,22,23,24,25,27,28,30,32,34,37,39,40,41,43,44,45,46,48,50,51,52,
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,
79,80,81,82,85,91,94,95,96,98,99,100,101,104,105,106,107,108,110,113,114,115,
116,118,119,120,125,126,127,128,129,133,138,139,140,141,142,143,144,145,146,
147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,
166,167,168,172,175,176,184,185,186,187,200,201,202,204,205,207,208,209,212,
214,215,216,217,218,219,220,221,222,223,224,225,227,228,229,232,233,234,235,
236,237,238,239,240,241,242,243,245,246,247,248,249,250,252,253,254,255,256,
259,260,265,267,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,
293,294,301,302,308,319,321,323,325,327,329,336,339,342,344,346,347,348,349,
350,351,352,353,356,357,358,359,360,361,364,365,366,367,368,369,370,371,372,
373,374,375,377,379,380,381,383,384,385,386,388,389,390,391,393,412,413,414,
415,416,417,418,426,427,428,430,431,432,433,440,446,447,449,454,460,461,464,
467,468,469,470,471,472,473,474,478,479,480,481,485,486,487,489,490,512,524,
526,527,528,529,530,532,534,536,551,552,554,555,556,557,558,559,560,561,563,
580,592,606,607,616,617,620,638],[1,3,4,9,11,12,13,14,15,18,19,34,39,41,49,50,
51,52,53,54,55,57,58,59,60,63,65,100,103,110,118,138,140,141,142,143,144,145,
146,198,212,214,217,229,232,234,235,258,278,279,280,281,283,338,351,372,401,
413,459,460,462,463,538,541,543,552,553,639],[1,2,3,4,5,7,9,11,13,14,16,17,18,
19,20,21,22,23,24,25,26,29,33,34,35,37,38,39,40,41,42,45,46,51,52,56,58,61,62,
63,64,65,67,68,69,70,71,72,73,74,75,76,78,81,82,84,88,89,90,92,100,109,117,
118,119,121,123,125,126,127,128,129,131,139,143,148,152,153,161,162,163,164,
165,168,170,174,177,180,181,188,189,194,195,196,203,206,211,212,214,217,226,
243,244,247,248,253,261,267,288,296,298,299,311,312,315,317,320,324,326,328,
332,345,351,354,362,373,374,376,377,382,383,386,388,402,403,423,435,438,439,
444,445,450,483,490,503,504,505,506,507,508,533,574,575,594,623,624,625,640],[
1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,27,28,29,30,
31,32,33,35,36,38,41,42,47,51,52,54,55,56,58,60,61,62,63,64,65,66,67,68,69,70,
71,72,73,74,75,76,77,78,79,81,82,83,84,85,86,87,91,92,93,94,95,96,97,98,99,
101,102,103,104,105,106,107,109,110,111,112,113,114,115,116,117,120,121,122,
123,124,130,131,132,138,139,140,141,143,146,147,148,149,150,151,152,153,154,
155,156,157,158,160,161,162,163,164,165,168,169,170,171,173,178,179,184,188,
192,201,202,203,204,206,207,208,209,210,211,213,215,216,218,219,220,221,222,
224,226,227,228,230,231,234,238,239,240,241,242,244,245,246,249,251,252,254,
255,256,257,258,261,262,263,264,266,268,280,282,286,287,288,289,290,293,294,
295,297,300,303,304,305,306,307,308,309,310,312,313,314,316,318,322,336,337,
338,339,340,341,342,343,344,345,346,347,348,349,350,352,353,354,355,356,357,
358,359,360,362,363,364,365,367,368,371,375,376,378,379,380,381,382,387,392,
396,399,417,419,420,421,422,424,425,429,434,436,437,441,442,443,447,448,451,
452,453,455,463,465,466,467,471,473,474,475,477,478,480,481,482,483,484,485,
487,488,491,497,513,514,515,516,517,518,519,520,521,522,523,525,531,535,537,
554,562,564,565,571,576,577,582,583,584,585,586,587,588,590,591,608,610,618,
621,629,630,641],[1,3,4,6,7,8,9,10,11,12,13,14,15,18,19,28,30,33,34,35,36,39,
41,44,50,51,52,53,54,55,57,58,59,60,63,65,83,84,85,86,87,91,92,93,94,97,98,99,
102,103,104,106,109,110,111,112,116,118,120,138,140,141,142,143,144,145,146,
170,173,175,177,179,183,184,187,200,201,204,205,206,207,208,211,213,221,223,
225,229,231,232,234,238,242,246,258,259,268,278,279,280,281,283,295,297,299,
300,304,305,306,308,313,314,318,327,336,337,338,340,341,343,345,347,348,366,
367,369,370,371,372,396,398,413,421,424,429,436,440,446,447,453,459,461,462,
463,466,468,472,473,476,479,493,497,513,514,515,516,517,519,522,534,553,559,
565,576,578,579,581,582,589,590,608,615,622,629,631,642],[1,3,4,6,7,8,9,10,11,
12,13,14,15,18,19,21,28,30,33,35,36,41,51,52,54,55,58,60,63,65,66,80,83,84,85,
86,87,91,92,93,94,97,98,99,102,103,104,105,106,109,110,111,112,116,120,138,
140,141,143,146,151,159,170,173,179,184,201,204,206,207,208,211,213,221,222,
231,234,238,242,246,250,258,268,280,284,285,295,297,300,304,305,306,308,313,
314,315,318,336,337,338,340,341,343,345,346,347,348,361,367,371,396,414,421,
424,429,436,447,453,463,466,469,470,473,492,497,513,514,515,516,517,519,522,
555,565,576,582,590,608,619,629,643],[1,2,4,5,6,7,8,9,10,11,14,19,21,22,24,25,
26,27,30,32,33,37,38,41,42,45,47,48,62,64,65,72,74,75,82,83,84,85,86,87,88,89,
90,91,92,93,99,100,105,107,108,113,115,116,126,131,135,168,170,171,173,176,
178,180,181,184,186,191,193,196,211,215,216,217,226,227,240,241,242,243,244,
247,249,251,265,268,270,272,275,295,296,301,315,317,321,322,374,379,382,394,
395,396,402,403,407,420,425,426,427,429,431,435,492,494,495,506,508,530,531,
545,547,572,594,599,601,624,633,644],[1,3,4,6,7,8,9,10,11,13,14,18,19,26,28,
30,33,34,35,36,39,41,44,51,52,58,63,65,83,84,85,86,87,88,91,92,93,98,99,100,
104,108,109,116,118,135,143,170,173,174,175,177,179,182,183,184,187,195,201,
204,206,211,212,213,214,217,221,233,238,242,268,270,295,296,298,299,301,313,
327,345,351,367,396,397,398,402,403,408,421,423,427,428,429,430,493,495,496,
503,504,522,528,545,547,566,594,598,600,623,633,645],[1,2,4,5,6,7,8,9,10,11,
14,16,17,19,24,25,26,27,29,30,31,32,33,38,40,41,43,46,56,61,62,65,73,78,81,83,
84,85,86,87,88,91,92,93,95,96,99,100,108,113,115,116,117,127,135,165,169,170,
171,172,173,184,185,188,189,190,192,194,202,203,209,210,211,216,217,242,244,
245,248,253,254,255,260,268,270,295,296,301,303,311,312,319,376,380,386,396,
399,400,402,403,404,419,425,427,429,432,433,445,491,495,498,505,507,525,527,
545,547,573,594,595,603,625,633,646],[1,2,4,5,6,7,8,9,10,11,14,16,17,19,24,25,
26,27,29,30,31,32,33,35,36,37,38,41,42,45,47,48,56,61,62,65,73,78,81,83,84,85,
86,87,88,89,90,91,92,93,95,96,97,99,102,103,109,111,112,113,115,116,117,121,
122,123,124,126,130,131,132,135,136,137,165,169,170,171,173,174,176,178,179,
180,181,182,184,186,188,191,192,193,194,195,196,202,203,209,210,211,216,230,
231,242,244,245,254,255,257,258,261,262,263,264,266,268,269,270,271,272,273,
274,275,276,277,295,297,298,300,303,304,305,306,307,309,310,312,313,314,316,
317,318,320,321,322,328,331,332,335,376,380,392,394,395,396,397,399,402,404,
405,406,407,408,409,410,419,422,424,425,429,434,436,437,441,442,443,448,450,
451,452,453,455,456,457,458,491,494,496,497,499,500,503,505,506,509,510,525,
535,537,544,545,546,548,549,550,564,565,570,571,574,595,596,597,598,599,602,
604,605,610,614,626,628,634,635,636,647],[1,4,7,9,11,14,19,26,33,35,41,49,65,
84,88,92,97,100,103,109,111,170,195,198,211,217,231,258,296,297,402,403,424,
503,541,594,648],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,
24,25,27,28,29,30,31,32,33,34,35,36,38,39,41,42,44,47,50,51,52,53,54,55,56,57,
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,
84,85,86,87,91,92,93,94,95,96,97,98,99,101,102,103,104,105,106,107,109,110,
111,112,113,114,115,116,117,118,120,121,122,123,124,130,131,132,138,139,140,
141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,
160,161,162,163,164,165,166,167,168,169,170,171,173,175,177,178,179,183,184,
187,188,192,200,201,202,203,204,205,206,207,208,209,210,211,213,215,216,218,
219,220,221,222,223,224,225,226,227,228,229,230,231,232,234,238,239,240,241,
242,244,245,246,249,250,251,252,254,255,256,257,258,259,261,262,263,264,266,
268,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,
297,299,300,303,304,305,306,307,308,309,310,312,313,314,315,316,318,322,327,
336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,352,353,354,355,
356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,375,376,
378,379,380,381,382,384,385,387,392,396,398,399,412,413,414,415,416,417,418,
419,420,421,422,424,425,429,434,436,437,438,440,441,442,443,446,447,448,451,
452,453,455,459,461,462,463,465,466,467,468,469,470,471,472,473,474,475,476,
477,478,479,480,481,482,483,484,485,486,487,488,489,491,492,493,497,512,513,
514,515,516,517,518,519,520,521,522,523,525,531,534,535,537,551,553,554,555,
557,558,559,560,562,564,565,569,571,576,577,578,579,581,582,583,584,585,586,
587,588,589,590,591,606,608,610,615,618,619,621,622,629,630,631,637,641,642,
643,649],[1,3,4,6,9,10,11,12,13,14,15,18,19,28,30,34,39,41,44,49,50,51,52,53,
54,55,57,58,59,60,63,65,85,91,94,98,99,100,103,104,106,108,110,112,116,118,
120,138,140,141,142,143,144,145,146,175,184,187,197,198,199,200,201,204,205,
207,208,212,214,217,221,223,225,229,232,233,234,235,236,237,238,242,246,258,
259,278,279,280,281,283,301,305,308,327,336,338,340,347,348,351,366,367,369,
370,371,372,401,411,413,427,428,430,440,446,447,449,453,459,460,461,462,463,
464,468,472,473,476,479,514,528,534,538,539,540,541,542,543,552,553,559,578,
580,582,589,611,612,613,617,622,639,650],[1,2,3,4,5,6,7,8,9,10,11,13,14,16,17,
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,
44,45,46,47,48,51,52,56,58,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,78,81,
82,83,84,85,86,87,88,89,90,91,92,93,95,96,98,99,100,101,104,105,107,108,109,
113,114,115,116,117,118,119,121,123,125,126,127,128,129,130,131,133,135,139,
143,148,152,153,161,162,163,164,165,168,169,170,171,172,173,174,175,176,177,
178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,
201,202,203,204,206,209,210,211,212,213,214,215,216,217,218,219,220,221,224,
226,227,228,233,238,240,241,242,243,244,245,247,248,249,251,253,254,255,256,
260,261,265,267,268,270,272,275,288,295,296,298,299,301,302,303,309,310,311,
312,313,315,317,319,320,321,322,323,324,325,326,327,328,329,330,331,332,339,
342,345,351,354,356,360,362,365,367,368,373,374,375,376,377,378,379,380,381,
382,383,386,388,390,394,395,396,397,398,399,400,402,403,404,407,408,419,420,
421,423,425,426,427,428,429,430,431,432,433,435,438,439,442,444,445,450,454,
478,483,490,491,492,493,494,495,496,498,499,500,501,502,503,504,505,506,507,
508,509,520,521,522,524,525,526,527,528,529,530,531,532,533,545,547,566,567,
568,569,570,572,573,574,575,583,592,594,595,598,599,600,601,603,609,623,624,
625,627,628,633,640,644,645,646,651],[1,2,4,5,7,9,11,14,16,17,19,24,25,26,29,
33,35,38,40,41,42,46,49,56,61,62,65,73,78,81,84,88,89,90,92,97,100,103,109,
111,117,121,122,123,124,127,131,134,165,170,188,189,194,195,196,198,203,211,
217,230,231,244,248,253,258,261,262,263,264,266,296,297,311,312,332,334,376,
386,392,402,403,424,434,441,445,503,505,506,507,537,541,574,594,625,648,652],[
1,4,6,7,8,9,10,11,14,19,26,30,33,35,36,41,49,65,83,84,85,86,87,88,91,92,93,97,
99,100,102,103,108,109,111,112,116,135,170,173,179,184,195,197,198,199,211,
217,231,242,258,268,270,295,296,297,300,301,304,305,306,313,314,318,396,402,
403,408,411,424,427,429,436,453,495,497,503,541,545,547,565,594,598,612,633,
648,653],[1,2,4,5,6,7,8,9,10,11,14,16,17,19,24,25,26,27,29,30,31,32,33,35,36,
38,40,41,42,43,46,47,49,56,61,62,65,73,78,81,83,84,85,86,87,88,89,90,91,92,93,
95,96,97,99,100,102,103,108,109,111,112,113,115,116,117,121,122,123,124,127,
130,131,132,134,135,165,169,170,171,172,173,178,179,184,185,188,189,190,192,
194,195,196,197,198,199,202,203,209,210,211,216,217,230,231,242,244,245,248,
253,254,255,257,258,260,261,262,263,264,266,268,270,272,275,295,296,297,300,
301,303,304,305,306,307,309,310,311,312,313,314,316,318,319,322,332,333,334,
376,380,386,392,396,399,400,402,403,404,407,408,411,419,422,424,425,427,429,
432,433,434,436,437,441,442,443,445,448,451,452,453,455,491,495,497,498,503,
505,506,507,509,511,525,527,535,537,541,545,547,564,565,571,573,574,594,595,
598,599,603,610,612,625,628,633,646,648,652,653,654],[1,3,4,7,9,11,12,13,14,
15,18,19,26,33,34,35,39,41,49,50,51,52,53,54,55,57,58,59,60,63,65,84,88,92,97,
100,103,109,110,111,118,136,138,140,141,142,143,144,145,146,170,174,177,195,
198,206,211,212,214,217,229,231,232,234,235,258,269,278,279,280,281,283,296,
297,298,299,337,338,343,345,351,372,401,402,403,405,413,423,424,459,460,462,
463,466,503,504,513,538,541,543,544,552,553,576,579,594,596,615,623,639,648,
655],[1,2,3,4,5,7,9,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,29,33,34,
35,37,38,39,40,41,42,45,46,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,
66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,84,88,89,90,92,97,100,103,
109,110,111,117,118,119,121,122,123,124,125,126,127,128,129,131,134,136,138,
139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,
158,159,160,161,162,163,164,165,166,167,168,170,174,177,180,181,188,189,194,
195,196,198,203,206,211,212,214,217,226,229,230,231,232,234,235,243,244,247,
248,253,258,261,262,263,264,266,267,269,273,274,278,279,280,281,282,283,284,
285,286,287,288,289,290,291,292,293,294,296,297,298,299,311,312,315,317,320,
324,326,328,332,334,337,338,343,345,351,354,355,362,363,372,373,374,376,377,
382,383,386,388,392,393,401,402,403,405,406,409,412,413,414,415,416,417,418,
423,424,434,435,438,439,441,444,445,450,459,460,462,463,465,466,477,482,483,
484,488,490,503,504,505,506,507,508,510,512,513,533,537,538,541,543,544,552,
553,556,561,562,574,575,576,579,584,593,594,596,597,602,607,615,618,619,623,
624,625,626,637,639,640,648,652,655,656],[1,3,4,6,7,8,9,10,11,12,13,14,15,18,
19,26,28,30,33,34,35,36,39,41,44,49,50,51,52,53,54,55,57,58,59,60,63,65,83,84,
85,86,87,88,91,92,93,94,97,98,99,100,102,103,104,106,108,109,110,111,112,116,
118,120,135,136,137,138,140,141,142,143,144,145,146,170,173,174,175,177,179,
182,183,184,187,195,197,198,199,200,201,204,205,206,207,208,211,212,213,214,
217,221,223,225,229,231,232,233,234,235,236,237,238,242,246,258,259,268,269,
270,271,278,279,280,281,283,295,296,297,298,299,300,301,304,305,306,308,313,
314,318,327,335,336,337,338,340,341,343,345,347,348,351,366,367,369,370,371,
372,396,397,398,401,402,403,405,408,411,413,421,423,424,427,428,429,430,436,
440,446,447,449,453,457,459,460,461,462,463,464,466,468,472,473,476,479,493,
495,496,497,503,504,513,514,515,516,517,519,522,528,534,538,539,540,541,542,
543,544,545,546,547,550,552,553,559,565,566,576,578,579,580,581,582,589,590,
594,596,598,600,608,611,612,613,614,615,617,622,623,629,631,633,634,639,642,
645,648,650,653,655,657],[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]],
0,[[1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,3,1],[1,3,1],[
1,1,2,1],[1,3,1],[1,1,1],[1,1,1],[1,2,1,1],[1,2,1,1],[1,1,1],[1,1,1,1,1],[1,1,
1],[1,1,2,1],[1,1,2,1],[1,1,2,1],[1,1,1,1,1],[1,1],[1,3,1,1],[1,1,1,1],[1,3,1,
1],[1,1,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,1,1,1],[1,1,1,1],[1,1,
1,1],[1,1,1,1],[1,1,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,1,1,1],[1,
3,1,1],[1,1,1,1],[1,3,1,1],[1,3,1,1],[1,1],[1,7,7,1],[1,1,6,3,4,1],[1,3,4,1,3,
3,1],[1,1,3,1],[1,1,2,1,2,1],[1,5,2,2,1,4,1],[1,2,3,1,1,1,1],[1,5,2,1,1],[1,1,
2,1,2,1],[1,3,1,2,1],[1,3,2,1,1,1,1],[1,3,3,1,1,3,3,1],[1,1,3,3,1,3,3,1],[1,2,
3,1,1,1,1],[1,1,3,3,1,3,3,1],[1,5,1,1,1,1],[1,1,2,1,2,1],[1,2,1,2,2,1,1,2,1,2,
1],[1,1,2,1,1,1,1],[1,1,2,4,1,2,2,2,1],[1,2,1,2,1,1,1,1],[1,2,2,1,1,1,1,1],[1,
3,2,1,1,1,1],[1,2,1,2,1,1,1,1],[1,3,2,1,1,1,1],[1,1,4,1,1,1,1],[1,1,2,1,3,1,2,
2,1,1,1],[1,2,1,2,1,1,1,1],[1,3,2,1,1,1,1],[1,1,4,1,2,1],[1,1,1,1],[1,1,1,1,1,
1,1,1],[1,1,1,1,1,1,1,1],[1,1,1,2,1],[1,2,2,1],[1,1,1,2,1],[1,2,1,1,1],[1,1,1,
2,1],[1,5,1,1],[1,5,1,1],[1,1,1,1],[1,3,1,1,3,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,
1,1,3,1],[1,6,1,1,3,2,1,1],[1,1,1,3,1,1],[1,3,1,1,3,1],[1,1,2,1,1,1,2,1],[1,3,
1,1,3,1],[1,3,4,1,1],[1,3,1,3,1,3,1,1,1,1],[1,3,1,1,3,1],[1,3,4,1,1],[1,2,1,1,
1,2,1,1],[1,1,1,3,1,1],[1,1,1,1,1,1],[1,1,6,1,3,1,2,1],[1,3,4,1,1],[1,7,1,3,2,
1,1],[1,3,4,1,1],[1,1,1,3,1,1],[1,3,4,1,1],[1,1,6,1,3,1,2,1],[1,1,6,1,3,1,2,
1],[1,3,1,3,1,3,1,1,1,1],[1,1,1,1,1,1],[1,4,3,1,3,1,1,1,1],[1,4,3,1,3,1,1,1,
1],[1,1,3,3,1,3,1,1,1,1],[1,3,4,1,1],[1,2,1,1,1,1,2,1],[1,1,1,1,1,1],[1,3,1,3,
1,3,1,1,1,1],[1,1,6,1,3,1,2,1],[1,1,6,1,3,1,1,1,1],[1,1,3,3,1,3,1,1,1,1],[1,3,
4,1,3,1,1,1,1],[1,3,4,1,3,1,1,1,1],[1,1,1,1,1,1,1,1,1,1],[1,3,1,3,1,3,1,1,1,
1],[1,1,3,3,1,3,1,1,1,1],[1,1,6,1,3,1,2,1],[1,1,6,1,3,1,1,1,1],[1,7,1,1],[1,1,
1,1],[1,1,1,1],[1,1,1,1],[1,9,6,2,6,9,18,6,9,1],[1,4,1,6,4,3,4,6,4,6,12,1,4,4,
6,1],[1,5,2,2,1,4,4,1,2,1],[1,5,6,2,3,4,2,4,1,1,1,4,1],[1,9,2,8,1,2,4,1,1,2,1,
2,1],[1,3,8,1,5,4,3,2,1,1,1,2,2,1],[1,5,2,2,1,4,1,1,1,2,2,1],[1,5,2,2,1,4,4,1,
2,1],[1,3,4,1,3,2,3,2,1,1,1,1],[1,3,4,1,3,1,3,3,1,3,3,1],[1,2,3,4,6,1,3,1,3,6,
3,6,6,6,1,2,3,3,6,1],[1,1,2,8,1,2,4,4,4,1,2,4,1],[1,1,2,1,2,2,2,1,2,1],[1,1,6,
3,4,4,1,2,1],[1,2,3,4,2,1,3,1,1,3,2,1,1,2,1,1,1,1,1,1,1,1],[1,1,6,4,3,4,1,1,2,
2,2,1,1,1,2,2,1],[1,5,2,4,2,1,1,4,1,2,2,2,1,1,1,2,2,1],[1,1,2,1,1,2,3,1,1,1,
1],[1,1,2,4,1,2,2,2,2,2,1,1,1,1],[1,2,5,2,2,2,1,1,4,2,2,1,2,1,1,1,2,2,1],[1,2,
1,2,2,1,2,1,2,2,1,2,1,1,1,1],[1,1,2,1,2,1,2,1],[1,3,4,4,1,3,3,2,2,2,2,1,1,1,2,
2,1],[1,2,1,2,2,1,1,1,2,2,1,1,2,1,1,1,2,2,1],[1,2,1,2,6,1,1,2,2,3,2,2,2,1,1,1,
2,2,1],[1,1,2,3,5,1,1,1,1,2,3,2,1,3,1,1,1,1,1,1,1,1],[1,3,2,3,3,1,3,1,1,2,1,2,
1,3,1,1,1,1,1,1,1,1],[1,3,5,3,1,1,1,3,1,3,5,1,1,1,1,1,1,1,1],[1,1,4,3,2,1,1,1,
1],[1,5,4,2,1,2,1,1,1,1],[1,1,5,5,1,1,1,1,3,3,5,1,1,1,1,1,1,1,1],[1,9,1,1,2,3,
3,6,1,1],[1,9,2,2,6,6,1,1],[1,3,1,1,2,1,3,1,1],[1,9,1,1,2,3,3,6,1,1],[1,3,1,1,
2,3,1,1,1],[1,3,2,2,1,3,1,1],[1,3,1,1,2,3,1,1,1],[1,3,1,1,2,1,3,1,1],[1,3,2,2,
1,3,1,1],[1,9,1,1,2,3,3,6,1,1],[1,1,1,1,2,1,1,2,1,1],[1,1,2,2,2,2,1,1],[1,9,2,
2,6,6,1,1],[1,3,1,1,2,1,3,1,1],[1,3,2,1,1,1,3,1,1],[1,3,1,1,2,3,1,1,1],[1,3,1,
1,2,1,3,1,1],[1,9,1,1,2,3,3,6,1,1],[1,1,1,1,2,1,1,2,1,1],[1,3,2,2,1,3,1,1],[1,
3,2,2,1,3,1,1],[1,3,2,1,1,1,3,1,1],[1,9,1,1,2,3,3,6,1,1],[1,3,1,1,2,1,3,1,1],[
1,9,2,1,1,3,6,3,1,1],[1,5,5,1,1,1],[1,5,5,1,1,1],[1,1,5,5,5,1,1,1,1,1],[1,1,1,
1],[1,7,1,1],[1,7,1,1],[1,7,1,7,7,1,7,1],[1,1,6,1,3,4,1,6,1,3,4,1],[1,6,3,1,1,
3,3,2,3,3,1,1,1,1],[1,6,3,4,1,3,3,4,3,1,1],[1,3,4,1,1,3,3,3,4,1,1,3,3,1],[1,1,
1,3,1,1,3,1],[1,3,4,4,1,3,3,4,1,1,1],[1,1,2,1,1,2,1,2,1,1,2,1],[1,5,2,1,2,1,4,
5,2,1,2,1,4,1],[1,9,3,3,1,1,9,9,3,3,1,3,3,1,3,1],[1,6,3,4,1,3,3,4,3,1,1],[1,9,
4,1,3,3,4,3,1,1],[1,1,6,4,3,4,4,1,1,1],[1,3,4,4,1,3,3,4,1,1,1],[1,6,3,4,1,3,3,
4,3,1,1],[1,3,3,9,1,1,9,9,1,3,3,3,1,3,3,1],[1,3,3,9,1,1,9,9,1,3,3,3,1,3,3,1],[
1,9,4,3,1,3,4,3,1,1],[1,1,2,12,1,1,6,6,6,1,2,4,3,1,2,2,2,1],[1,6,1,2,6,1,1,3,
6,3,6,2,1,2,2,3,1,1,2,1,2,1],[1,1,2,1,1,3,3,1,2,3,1,1,1,1],[1,1,2,1,1,2,1,2,1,
1,2,1],[1,1,2,1,1,6,1,2,3,1,2,1],[1,5,1,2,1,5,1,2,1,1],[1,2,1,6,1,3,1,3,2,1,2,
3,1,1,1,1],[1,3,1,1,2,3,1,1,2,1],[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],[1,6,2,1,1,3,1,3,2,2,1,3,1,1,1,1],[1,9,4,4,3,4,3,1,1],[1,3,3,9,1,1,9,
9,1,3,3,3,1,3,3,1],[1,9,1,1,3,3,2,3,3,1,1,1,1],[1,7,4,7,4,1,1,1],[1,1,6,4,3,4,
4,1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,1,4,3,4,1,1],[1,1,4,3,4,1,1],[1,1,4,3,4,1,
1],[1,2,3,1,1,1,1,2,3,1,1,1,1,1],[1,2,1,6,1,1,3,3,2,1,2,3,1,1,1,1],[1,1,12,1,
1,3,3,1,4,3,1,1,1,1],[1,3,6,1,1,3,3,3,2,3,1,1,1,1],[1,5,1,1,1,1,5,1,1,1,1,1],[
1,3,6,4,1,3,3,4,3,1,1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,3,6,1,1,3,3,3,2,3,1,1,1,
1],[1,3,2,1,1,1,1,3,2,1,1,1,1,1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,3,3,1,4,1,3,3,4,
1,1,1],[1,3,1,3,1,1,3,3,1,1,1,3,1,1,1,1],[1,1,1,1,1,3,1,1],[1,3,6,4,1,3,3,4,3,
1,1],[1,1,12,1,1,6,1,4,3,1,2,1],[1,3,6,4,1,3,3,4,3,1,1],[1,6,1,6,1,3,1,3,2,1,
2,3,1,1,1,1],[1,3,1,3,1,3,1,3,1,1,1,3,1,1,1,1],[1,3,2,1,9,1,1,6,6,3,3,1,2,1,3,
3,2,1,1,2,1,1],[1,3,3,9,1,1,9,9,1,3,3,3,1,3,3,1],[1,9,4,1,3,3,4,3,1,1],[1,7,4,
7,4,1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,5,7,3,1,3,7,9,1,2,1,2,1,3,1,2,1,1,2,1],[
1,3,1,3,1,1,3,3,1,1,1,3,1,1,1,1],[1,2,1,6,1,1,3,3,1,2,2,3,1,1,1,1],[1,7,6,1,3,
1,3,2,1,2,3,1,1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,2,3,1,1,1,1,3,2,1,1,1,1,1],[1,
1,4,3,7,1,3,4,6,3,3,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,1,2,4,2,4,2,1,2,4,4,
1],[1,5,1,1,5,1,1,1],[1,5,1,1,5,1,1,1],[1,5,1,1,5,1,1,1],[1,15,1,1,5,3,1,1],[
1,3,1,1,1,3,1,1],[1,15,1,1,5,3,1,1],[1,3,1,1,1,3,1,1],[1,3,1,1,1,3,1,1],[1,15,
1,1,5,3,1,1],[1,13,6,14,3,4,6,12,2,1,2,3,3,6,6,12,3,6,6,1],[1,13,6,2,12,9,6,
18,1,6,9,6,3,6,1,3,3,1],[1,9,10,2,6,11,4,2,18,4,1,6,1,9,2,4,4,4,1,1,1,2,2,1],[
1,5,6,2,3,4,10,4,1,1,1,4,4,1,2,1],[1,2,9,6,6,2,6,9,1,1,18,6,3,3,6,6,6,6,9,1,2,
3,3,3,3,3,3,3,6,6,1,1,1,3,3,3,3,1],[1,9,2,8,1,6,4,4,1,1,2,2,3,2,1,1,1,1],[1,5,
6,2,3,4,2,4,1,1,1,4,4,1,2,1],[1,5,6,2,3,4,2,4,8,1,1,1,4,4,1,2,1],[1,5,6,8,2,3,
4,2,2,4,2,4,4,4,1,1,1,4,2,2,4,4,4,4,4,1,1,1,2,2,1],[1,4,5,6,4,2,3,4,2,6,4,4,4,
6,12,1,1,1,4,4,4,2,6,4,4,1,1,1,2,2,1],[1,4,3,8,8,1,5,4,1,6,3,2,8,1,8,6,6,16,1,
1,1,1,4,2,2,4,2,8,1,3,1,1,1,2,2,2,6,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,2,5,2,6,
2,1,1,1,4,4,2,3,3,2,2,2,1,2,1,1,1,1,2,2,2,2,4,2,2,1,1,1,1,1,1,1,1],[1,2,3,4,
10,1,3,2,1,3,2,6,2,5,8,8,6,1,1,1,2,1,3,4,2,2,2,6,2,4,1,1,1,1,1,1,1,1],[1,5,2,
8,2,1,4,4,4,4,1,1,1,2,2,2,4,2,1,1,1,2,2,1],[1,5,2,2,1,4,2,2,1,1,1,2,2,2,2,1,1,
1,1],[1,3,8,4,1,5,4,1,3,2,5,2,2,2,1,1,1,2,2,4,3,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,
2,3,4,2,1,3,2,2,1,3,2,2,4,1,2,1,1,1,1,3,1,4,1,1,1,2,2,1,1,1,1,1,1,1,1],[1,3,1,
4,8,1,3,4,1,1,2,1],[1,9,2,2,9,6,6,1,1,1],[1,3,5,8,1,3,4,1,1,2,1],[1,15,2,2,9,
8,6,6,1,6,1,2,1],[1,6,9,2,2,9,6,2,6,6,1,6,1,2,1],[1,3,1,1,2,1,3,3,6,1,1,1,2,3,
1],[1,3,1,4,8,1,3,4,1,1,2,1],[1,3,3,9,1,1,2,9,1,3,3,1,3,3,6,1,3,3,1,1,1,1],[1,
12,3,1,1,2,9,4,3,3,6,1,3,1,3,3,1,1,1,1],[1,3,4,1,8,1,3,4,1,1,2,1],[1,3,1,4,8,
1,3,4,1,1,2,1],[1,3,1,4,8,1,3,4,1,1,2,1],[1,1,1,1,2,3,1,1,2,1,1,3,1,1],[1,3,1,
4,8,1,3,4,1,1,2,1],[1,9,1,9,1,1,2,9,3,3,1,6,3,1,2,3,6,1,3,3,6,1,1,1,1],[1,6,1,
1,1,2,3,2,1,1,2,6,1,1,3,2,1,1],[1,9,6,2,2,9,6,2,6,6,1,6,1,2,1],[1,6,9,2,2,9,2,
6,6,6,1,6,1,2,1],[1,7,1,1,2,3,7,2,1,2,1,3,1,2,1,1],[1,1,1,1,2,3,1,1,2,1,1,3,1,
1],[1,9,2,2,9,6,6,1,1,1],[1,1,18,1,1,2,9,1,6,1,2,6,12,1,3,3,6,2,1,1],[1,1,9,9,
2,2,9,6,2,2,6,6,6,1,6,6,1,1,1,1],[1,3,5,4,4,1,3,4,1,1,1,1,1],[1,3,12,1,1,2,9,
3,4,3,1,6,3,1,3,3,1,1,1,1],[1,4,3,2,2,3,1,1,3,2,5,1,1,3,1,1,1,1],[1,3,3,9,1,1,
2,9,1,3,3,3,1,3,6,1,3,3,1,1,1,1],[1,3,3,9,1,1,2,9,1,3,3,1,3,3,6,1,3,3,1,1,1,
1],[1,3,1,3,1,1,2,3,1,1,1,3,1,2,3,1,1,3,1,1,1,1],[1,3,12,2,2,9,1,3,1,6,6,3,1,
3,3,1,1,1,1],[1,3,12,1,1,2,9,3,4,1,3,3,6,1,3,3,1,1,1,1],[1,1,3,3,2,2,3,1,2,2,
3,1,3,1,1,3,1,1,1,1],[1,4,3,1,1,2,3,4,3,1,1,1,2,1,3,1,1,1,1,1],[1,3,3,9,2,2,9,
1,1,3,3,6,6,1,3,3,1,1,1,1],[1,1,18,1,1,2,9,1,6,1,3,6,2,3,6,1,3,3,6,1,1,1,1],[
1,3,12,2,1,1,9,1,1,3,3,3,6,3,1,3,3,1,1,1,1],[1,3,3,9,1,1,2,9,1,1,3,3,3,3,6,1,
3,3,1,1,1,1],[1,1,5,5,5,5,5,1,5,1,1,1,1,1,1,1],[1,21,1,7,1,3,1,1],[1,7,7,7,1,
1,1,1],[1,1,1,2,1,1,1,1,2,1],[1,9,6,1,2,6,9,18,9,6,6,9,2,6,9,18,1,6,9,1],[1,9,
6,4,2,6,9,18,12,6,9,1,4,1,3,1],[1,9,6,16,2,6,9,18,6,9,8,12,1,1],[1,12,1,6,12,
1,3,4,18,12,18,36,4,1,6,4,1,12,12,18,6,3,4,4,6,12,3,1,4,4,6,1],[1,9,6,16,2,6,
9,18,6,9,8,12,1,1],[1,9,6,4,2,6,9,18,12,6,9,1,4,1,3,1],[1,6,3,4,18,1,1,3,3,3,
18,9,18,18,18,2,3,4,6,1,6,9,9,18,1,1,3,6,3,3,6,6,6,3,1,2,3,3,6,1],[1,3,4,4,1,
3,6,3,6,4,1,3,3,1,4,3,1,1],[1,3,4,1,1,3,3,3,9,3,4,1,9,9,1,1,3,3,3,3,1,3,3,1],[
1,3,16,4,1,9,12,3,6,8,4,3,1,3,6,6,1,4,3,1,2,1],[1,1,6,1,3,4,12,1,6,1,6,3,4,4,
3,1,2,1],[1,5,6,1,2,3,4,2,4,5,6,1,1,1,4,2,3,4,4,2,1,1,1,1,4,1],[1,5,2,1,2,1,4,
4,5,2,1,2,2,1,4,4,1,1,2,1],[1,1,2,24,1,1,2,12,12,12,1,2,8,1,6,12,1,2,4,4,4,3,
1,2,4,1],[1,1,2,1,1,2,6,6,1,2,1,6,2,1,2,2,3,1,2,1],[1,7,12,4,3,9,4,9,6,4,4,4,
1,3,3,6,6,1,4,3,1,1,1,1],[1,1,2,12,1,1,2,6,6,6,6,1,2,4,1,3,3,1,2,2,2,2,2,3,1,
1,1,1],[1,6,1,2,6,1,1,2,3,6,6,3,6,2,1,2,2,1,3,3,1,1,2,2,2,1,2,3,1,1,1,1],[1,2,
3,4,6,4,1,3,1,3,6,3,6,6,6,4,8,1,2,3,3,6,1,4,1,1,2,1],[1,3,4,4,1,3,1,3,3,4,1,3,
3,1,4,1,1,1],[1,6,1,2,18,1,1,3,2,6,9,6,6,6,2,1,2,6,1,3,3,6,6,1,1,2,3,2,2,2,2,
3,1,1,1,2,2,1],[1,6,5,2,6,1,2,1,3,4,6,6,3,6,2,5,2,2,1,3,3,6,6,2,1,1,2,4,2,1,2,
3,1,1,1,2,2,1],[1,5,2,12,1,2,1,3,4,3,6,6,6,5,2,4,1,3,3,6,6,2,1,1,4,1,2,2,2,3,
1,1,1,2,2,1],[1,1,2,1,1,3,2,9,1,2,1,3,3,1,1,3,2,3,1,1,1,1],[1,6,1,2,6,1,1,3,3,
2,6,3,3,6,2,1,2,2,1,3,3,6,6,1,1,1,2,1,1,2,2,3,1,1,1,2,2,1],[1,1,2,1,1,2,1,2,1,
6,1,2,3,1,2,1],[1,6,3,4,6,4,1,3,3,3,3,6,3,3,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,
1],[1,3,4,12,4,1,3,3,6,6,6,6,4,8,1,3,3,6,6,1,4,3,1,2,1],[1,3,4,12,1,1,3,3,6,6,
6,6,3,4,4,1,3,3,6,6,1,3,3,2,2,2,2,3,1,1,1,2,2,1],[1,1,6,12,1,3,4,3,3,6,6,6,1,
6,4,1,3,3,6,6,1,3,4,1,2,2,2,3,1,1,1,2,2,1],[1,9,2,1,8,1,2,4,9,2,1,1,2,1,2,8,1,
4,2,1,1,1,2,1,2,1],[1,3,8,1,1,5,4,3,2,3,8,1,1,1,2,2,1,5,4,3,2,1,1,1,1,2,2,1],[
1,6,3,4,6,1,1,3,3,3,3,6,3,3,6,2,3,4,2,1,3,3,3,3,3,3,1,1,1,3,2,3,1,1,2,3,1,1,1,
1,1,1,1,1],[1,5,2,1,2,1,4,4,5,2,1,2,2,1,4,4,1,1,2,1],[1,5,2,1,2,1,4,5,2,1,1,1,
2,2,2,1,4,1,1,1,1,2,2,1],[1,3,4,1,1,3,2,3,2,3,4,1,1,1,1,3,3,2,2,1,1,1,1,1],[1,
13,6,4,10,3,6,12,4,4,4,1,3,6,3,6,1,4,3,1,1,1,1],[1,4,1,6,4,4,3,4,6,4,6,12,4,4,
4,1,4,4,6,1,4,1,1,1,1,1],[1,1,9,9,4,3,1,3,3,3,9,9,4,4,4,3,1,3,3,3,3,3,1,4,3,1,
1,1,1],[1,9,2,3,9,1,1,9,1,1,6,3,6,3,9,3,2,3,3,3,1,3,3,3,3,3,3,1,2,1,1,1,2,3,1,
3,1,1,1,1,1,1,1,1],[1,7,9,3,4,1,3,3,9,3,3,9,4,4,4,3,3,1,3,3,3,3,1,4,3,1,1,1,
1],[1,1,6,3,9,4,1,3,3,3,6,3,6,3,3,4,4,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,6,3,4,
6,4,1,3,3,3,3,6,3,3,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,3,5,15,1,1,1,1,3,
9,9,15,1,5,5,3,3,1,3,3,3,3,1,1,1,3,3,5,1,3,1,1,1,1,1,1,1,1],[1,9,5,9,1,1,1,3,
9,1,9,15,3,5,3,3,3,3,1,3,3,3,1,3,1,1,3,5,1,3,1,1,1,1,1,1,1,1],[1,3,2,3,15,1,1,
3,1,1,6,9,6,3,9,1,2,3,5,1,3,3,3,3,3,3,1,1,2,1,3,1,2,3,1,3,1,1,1,1,1,1,1,1],[1,
1,9,9,4,1,3,3,3,9,3,9,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,6,12,4,3,4,3,3,
6,6,6,4,4,4,1,3,3,6,6,1,4,3,1,1,1,1],[1,5,12,1,2,1,6,5,4,1,3,3,2,1,2,3,1,1,1,
1],[1,1,12,1,3,6,1,4,1,3,3,3,2,3,1,1,1,1],[1,3,9,7,4,3,1,3,3,3,9,9,4,4,4,3,1,
3,3,3,3,3,1,4,3,1,1,1,1],[1,3,4,12,4,1,3,3,6,6,6,6,4,8,1,3,3,6,6,1,4,3,1,2,
1],[1,3,6,3,7,4,1,3,3,3,6,3,6,3,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,12,
4,3,6,4,4,4,1,3,3,4,3,1,1],[1,1,6,12,4,3,4,3,3,6,6,6,4,4,4,1,3,3,6,6,1,4,3,1,
1,1,1],[1,1,12,4,3,6,4,4,4,1,3,3,4,3,1,1],[1,5,9,9,1,1,3,1,7,3,9,15,1,2,3,2,3,
1,3,3,3,3,3,3,1,1,1,2,1,1,3,3,2,3,1,1,1,1,1,1,1,1],[1,1,12,4,3,6,4,4,4,1,3,3,
4,3,1,1],[1,27,1,2,4,2,4,9,18,18,36,36,2,1,2,4,4,6,3,6,12,12,1,1],[1,3,1,2,4,
2,4,1,6,6,2,1,2,4,4,2,2,3,1,1],[1,9,1,2,4,2,4,9,6,6,2,1,2,4,4,1,6,6,1,1],[1,3,
1,2,4,2,4,3,1,3,6,2,1,2,4,4,1,1,3,2,1,1],[1,3,1,2,4,2,4,3,1,3,6,2,1,2,4,4,1,1,
2,3,1,1],[1,9,1,2,4,2,4,3,3,6,9,2,1,2,4,4,1,3,3,6,1,1],[1,9,1,2,4,2,4,3,3,6,9,
2,1,2,4,4,1,3,3,6,1,1],[1,7,7,8,1,1],[1,15,10,5,6,10,6,5,1],[1,15,10,5,6,10,6,
5,1],[1,5,1,15,1,5,1,5,1,3,1,1],[1,5,1,15,1,5,1,5,1,3,1,1],[1,5,1,5,1,5,1,5,1,
1,1,1],[1,3,5,15,1,15,1,1,5,5,1,3,3,5,1,3,1,1,1,1],[1,5,1,5,1,5,1,5,1,1,1,1],[
1,3,5,15,1,15,1,1,5,5,1,3,3,5,1,3,1,1,1,1],[1,3,5,15,1,15,1,1,5,5,1,3,3,5,1,3,
1,1,1,1],[1,1,7,14,1,7,1,1,2,1],[1,4,13,6,4,14,3,4,6,6,12,4,12,6,12,2,1,2,3,3,
6,6,12,4,4,6,6,12,12,1,3,6,6,3,6,6,1,3,3,1],[1,17,10,2,18,11,4,14,26,4,2,1,6,
2,3,11,14,2,10,20,4,4,1,1,3,10,2,6,6,2,1,2,1,1,2,1],[1,9,10,2,6,11,4,2,18,4,8,
1,6,1,9,2,4,4,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,5,6,8,2,3,4,10,2,4,10,4,4,4,1,1,
1,4,4,4,2,2,4,4,4,4,4,1,2,1,1,2,2,2,1,1,1,1],[1,4,5,6,4,2,3,4,10,6,4,4,4,6,12,
1,1,1,4,4,4,4,2,6,4,4,4,1,1,2,1,2,2,2,1,1,1,1],[1,4,9,10,12,2,6,11,4,2,2,6,18,
4,12,6,10,12,12,20,1,6,1,9,2,2,4,4,4,4,4,4,6,10,6,6,6,6,6,4,4,4,12,12,4,4,4,4,
1,1,1,1,2,2,2,2,1,1,1,6,2,6,2,2,6,2,6,2,2,4,4,4,4,1,2,1,1,2,2,2,2,2,1],[1,13,
6,8,14,3,4,6,2,12,2,4,4,4,2,1,2,3,3,6,6,12,2,2,4,4,4,4,4,4,3,6,6,1,1,2,2,2,4,
4,1,1,1,2,2,1],[1,18,3,1,4,8,1,9,9,6,12,3,24,9,4,1,1,2,3,3,4,3,3,6,1,1],[1,3,
18,1,4,8,1,9,9,3,6,12,24,9,4,1,1,2,3,3,4,3,3,6,1,1],[1,3,4,1,4,8,1,3,3,3,4,4,
8,1,4,1,1,2,3,3,4,1,1,2,1,1],[1,9,3,27,1,1,2,1,27,27,3,3,3,6,9,3,6,9,18,9,1,1,
1,2,9,9,9,9,18,18,1,3,3,3,3,6,1,3,3,1],[1,6,15,2,2,9,9,9,8,2,6,6,6,9,1,6,6,1,
2,2,1,1,1,1],[1,21,5,8,1,9,9,18,3,24,9,4,1,1,2,3,3,4,3,3,6,1,1],[1,3,3,9,1,4,
8,1,9,9,1,3,3,12,3,4,1,1,2,3,3,4,1,3,1,1],[1,3,3,9,1,4,8,1,9,9,1,3,3,12,3,4,1,
1,3,2,3,4,1,3,1,1],[1,9,1,4,8,3,1,3,9,4,3,4,3,1,1,2,3,4,1,3,1,1],[1,6,3,1,4,8,
1,3,3,6,3,4,3,4,1,1,3,2,3,4,1,3,1,1],[1,9,1,4,8,1,3,3,9,4,3,4,1,1,2,3,3,4,1,3,
1,1],[1,1,6,1,4,8,3,4,1,6,4,8,1,4,3,4,1,2,4,1,1,2,1,1],[1,3,18,1,4,8,1,9,9,3,
6,12,24,9,4,1,1,3,2,3,4,3,3,6,1,1],[1,9,3,3,1,4,8,1,9,9,3,3,1,12,3,4,3,1,1,2,
3,4,1,3,1,1],[1,3,18,1,4,8,1,9,9,3,6,12,24,9,4,3,1,1,2,3,4,3,3,6,1,1],[1,3,3,
9,5,8,1,9,9,1,3,12,3,3,4,1,1,2,3,3,4,1,3,1,1],[1,1,9,9,2,2,9,9,9,6,2,2,6,6,6,
9,1,6,6,1,1,1,1,1,1,1],[1,9,1,1,2,1,3,3,9,2,3,6,3,1,1,1,3,2,1,1,3,2,3,1,3,1,1,
1,1],[1,9,1,9,1,1,2,3,3,9,3,3,1,6,3,1,2,3,6,9,1,1,1,3,3,3,3,6,1,1,1,3,3,1,1,1,
1],[1,6,6,9,2,2,9,9,9,2,6,2,6,6,6,9,1,6,6,1,2,2,1,1,1,1],[1,1,6,9,15,2,2,9,6,
18,9,9,6,2,2,2,6,2,6,6,6,6,9,1,6,2,6,6,6,6,6,6,1,2,1,1,2,6,1,1,1,2,2,1],[1,9,
1,4,8,4,3,9,4,3,4,4,3,1,2,4,3,1,1,1],[1,6,3,5,8,1,3,3,4,3,6,3,4,1,1,2,3,3,4,1,
3,1,1],[1,15,7,9,1,1,2,3,21,27,5,3,7,6,3,2,1,2,6,3,6,9,1,7,3,1,9,6,3,3,6,6,1,
2,2,1,1,3,3,2,1,1,1,2,1],[1,7,18,1,1,2,3,3,9,7,6,2,1,2,6,12,9,1,1,3,1,3,3,3,6,
2,2,1,3,3,1,1,1,1],[1,15,6,2,2,9,9,9,8,6,2,6,6,9,1,6,6,1,2,2,1,1,1,1],[1,6,9,
6,2,2,9,9,9,2,6,6,2,6,6,9,1,6,6,1,2,2,1,1,1,1],[1,7,1,4,8,7,7,4,8,1,4,7,1,2,4,
1,1,2,1,1],[1,3,6,1,4,8,1,3,3,3,6,4,3,4,1,3,3,1,2,4,1,3,1,1],[1,6,1,18,1,1,2,
3,3,9,2,1,6,1,2,6,6,12,9,1,1,1,3,3,3,3,6,2,2,1,3,3,1,1,1,1],[1,1,1,4,8,3,1,4,
8,1,4,3,4,1,1,1,1,1],[1,7,15,9,2,2,9,15,27,2,8,6,2,8,6,6,6,9,1,6,8,6,6,6,12,1,
2,1,1,2,6,1,1,1,2,2,1],[1,6,3,1,1,2,1,3,3,2,3,3,6,6,3,1,1,1,1,1,2,3,3,2,3,1,3,
1,1,1,1],[1,3,3,9,4,1,8,1,9,9,1,3,12,3,3,4,1,1,2,3,3,4,3,1,1,1],[1,9,1,4,8,1,
3,3,9,4,3,4,1,3,1,2,3,4,3,1,1,1],[1,3,4,3,21,1,1,2,3,12,18,9,9,1,4,3,7,1,3,1,
3,1,6,2,3,3,6,9,1,4,3,3,6,3,1,3,3,3,3,3,3,6,1,1,1,1,1,1,1,3,3,1,1,1,1,1,1,1,
1],[1,6,3,1,4,8,1,3,3,4,3,6,3,4,1,1,2,3,3,4,1,3,1,1],[1,45,1,1,2,1,15,15,30,1,
9,1,1,2,5,3,3,6,1,1],[1,5,1,1,2,1,5,5,10,1,1,1,1,2,5,1,1,2,1,1],[1,9,1,1,2,1,
3,3,6,1,9,1,1,2,1,3,3,6,1,1],[1,21,6,16,2,24,9,18,18,16,3,6,9,18,9,18,8,12,1,
9,9,12,3,1,1],[1,13,6,16,14,3,4,6,12,16,2,1,2,3,3,6,6,12,4,8,3,6,6,4,8,8,1,
1],[1,13,6,1,14,3,4,6,12,13,6,2,1,2,3,3,6,6,12,14,3,4,12,6,3,6,6,2,1,2,3,3,6,
6,12,1,3,6,6,1],[1,13,6,16,2,12,9,6,18,16,1,6,9,6,3,6,8,12,1,3,3,4,1,1,1],[1,
9,18,16,2,6,15,12,6,18,12,16,3,6,3,9,6,12,12,12,8,12,1,3,3,6,6,4,8,3,1,1],[1,
13,6,16,14,3,4,6,12,16,2,1,2,3,3,6,6,12,4,8,3,6,6,4,4,4,8,1,1],[1,6,9,6,18,4,
2,6,9,3,3,18,18,9,9,18,18,18,4,12,12,6,9,3,6,9,9,9,9,9,9,9,18,18,1,4,12,12,1,
3,3,9,9,9,9,1,3,3,4,3,1,3,3,1],[1,9,18,4,2,6,15,12,6,18,12,8,12,3,6,3,9,6,12,
12,12,1,4,4,4,1,3,3,6,6,3,2,4,3,1,1,1,1],[1,6,9,6,18,1,2,6,9,3,3,18,18,9,9,18,
18,18,2,9,6,6,6,9,3,6,9,9,9,9,9,9,9,18,18,2,6,1,1,9,6,18,3,3,6,6,6,1,3,3,9,9,
9,9,1,6,9,2,3,3,3,3,3,3,3,6,6,3,1,1,1,3,3,3,3,1],[1,13,6,1,2,12,9,6,18,13,6,1,
6,9,6,3,6,2,12,9,18,6,1,3,3,1,6,9,6,3,6,1,1,3,3,1],[1,5,6,1,2,3,4,2,4,24,5,6,
1,1,1,4,12,2,3,4,4,8,2,1,6,1,1,1,4,4,3,2,1,1],[1,5,6,1,2,3,4,2,4,5,6,1,1,1,4,
12,2,3,4,4,2,1,6,1,1,1,4,4,3,1,2,1],[1,12,5,6,12,1,2,3,4,2,18,4,12,12,18,36,4,
5,6,4,1,1,1,4,12,12,6,18,12,12,2,6,3,4,4,4,4,2,6,12,3,1,3,6,6,1,1,1,4,4,6,2,4,
4,4,3,1,1,1,2,2,1],[1,5,6,1,2,3,4,10,4,5,6,1,1,1,4,4,2,3,4,4,10,1,2,1,1,1,4,4,
1,1,2,1],[1,9,10,1,2,6,11,4,2,18,4,9,10,1,6,1,9,2,4,4,4,2,6,11,4,18,2,4,1,1,1,
2,2,1,6,1,9,2,4,4,4,1,1,1,1,2,2,1],[1,5,6,24,1,2,3,4,2,6,4,6,12,12,12,5,6,8,1,
1,1,4,6,6,12,12,12,12,12,2,2,3,4,4,2,2,4,4,4,1,3,3,6,6,1,1,1,2,2,4,4,4,4,4,4,
3,1,1,1,2,2,1],[1,6,9,6,18,4,2,6,9,3,3,18,18,9,9,18,18,18,4,12,12,6,9,3,6,9,9,
9,9,9,9,9,18,18,1,4,12,12,1,3,3,9,9,9,9,1,3,3,4,3,1,3,3,1],[1,13,6,16,2,12,9,
6,18,16,1,6,9,6,3,6,8,12,1,3,3,4,1,1,1],[1,2,3,4,18,4,1,3,6,1,3,6,6,6,9,12,12,
6,4,8,8,1,3,3,2,3,3,6,6,6,6,6,6,12,1,4,4,4,3,1,3,3,3,3,3,1,2,2,4,3,1,1,1,1],[
1,12,3,8,24,1,1,5,4,3,18,3,2,24,3,24,18,18,48,4,3,8,8,1,1,3,1,12,6,2,12,2,24,
3,9,3,3,3,6,6,6,18,6,6,6,1,6,1,5,4,8,3,1,8,6,6,16,2,3,1,3,3,3,3,3,6,6,6,6,1,1,
1,4,4,2,3,8,1,1,1,1,1,2,2,2,2,2,2,2,2,6,3,1,1,1,1,1,1,1,2,2,2,2,1],[1,9,2,1,8,
1,6,4,4,9,2,1,1,2,2,3,2,8,1,4,6,4,1,1,1,1,1,2,2,3,2,1,1,1,1,1],[1,6,3,4,30,1,
1,3,2,3,3,2,18,6,15,24,24,18,2,3,4,10,1,1,1,6,3,9,12,6,6,6,18,6,12,1,1,3,6,3,
2,2,5,8,8,6,2,1,3,3,3,3,3,3,1,1,2,4,3,1,1,2,2,2,4,2,6,3,1,1,1,1,1,1,1,1],[1,3,
8,12,1,1,5,4,3,3,2,15,6,6,6,3,8,4,1,1,1,2,2,12,9,3,6,6,6,6,1,1,5,4,3,5,2,2,2,
2,1,3,3,3,3,3,3,1,1,1,3,1,4,2,2,2,2,2,2,3,1,1,1,1,1,1,1,1],[1,2,9,6,6,4,2,6,9,
1,1,18,6,3,3,6,6,6,12,8,6,9,1,2,3,3,3,3,3,3,3,6,6,1,4,4,4,1,1,1,3,3,3,3,3,2,4,
1,1,1,1,1],[1,8,3,16,12,4,1,9,12,3,16,3,6,12,3,18,6,6,36,4,8,4,8,4,3,1,3,3,12,
2,6,12,6,18,3,3,3,3,3,6,6,6,6,6,6,6,1,4,8,4,4,8,3,3,1,3,3,3,3,6,6,6,6,1,1,2,1,
2,4,3,1,1,1,2,2,1],[1,3,16,12,4,1,9,12,1,3,6,9,6,6,6,8,4,8,3,1,3,6,6,6,3,3,6,
6,6,6,1,4,4,4,3,1,3,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,6,3,4,6,1,1,3,2,6,3,3,2,6,
12,3,6,2,3,4,2,1,1,3,1,9,3,12,3,3,3,6,6,1,1,2,3,2,3,4,2,1,2,2,1,3,3,3,3,3,3,1,
1,1,1,4,1,3,1,1,1,2,2,3,1,1,1,1,1,1,1,1],[1,5,2,24,1,2,1,4,12,12,12,5,2,8,1,1,
1,2,2,6,12,6,2,1,4,4,4,4,1,3,3,6,6,1,1,2,1,2,2,2,4,3,1,1,1,2,2,1],[1,6,5,2,18,
1,2,1,3,3,4,4,6,9,9,6,6,6,2,5,2,6,1,2,3,3,3,3,6,6,6,6,12,6,6,2,1,1,1,2,4,3,3,
2,2,2,4,1,3,3,3,3,3,3,1,1,1,1,2,1,2,2,4,2,2,2,2,3,1,1,1,1,1,1,1,1],[1,6,3,4,6,
4,1,3,6,4,3,3,6,6,6,3,6,4,4,4,1,3,3,3,3,3,6,3,3,3,6,6,1,4,4,4,3,1,3,3,3,3,3,1,
1,1,4,3,1,1,1,1],[1,5,2,1,2,1,4,6,6,5,2,1,1,1,2,2,6,6,2,2,1,2,4,1,3,3,1,1,2,1,
2,2,2,3,1,1,1,1],[1,4,7,12,16,4,3,9,4,3,6,9,6,16,3,12,18,18,24,4,4,4,4,4,4,4,
1,3,3,3,4,6,6,4,6,12,3,9,3,3,3,6,6,6,18,6,6,6,1,4,4,4,4,4,4,4,1,3,3,3,3,3,3,6,
6,6,6,1,1,1,1,1,1,1,4,3,1,1,1,1,1,1,1,1],[1,18,9,1,2,4,2,4,27,6,6,9,12,6,18,6,
2,1,2,4,4,9,18,2,1,6,6,6,6,12,1,6,3,1,2,1],[1,9,1,2,4,2,4,27,9,6,6,2,1,2,4,4,
9,1,6,6,1,3,1,1],[1,6,9,1,2,4,2,4,9,6,9,6,2,6,6,12,2,1,2,4,4,9,6,1,6,2,2,4,6,
6,1,1,6,1,2,1],[1,3,9,27,1,2,4,2,4,27,1,9,9,6,6,6,6,18,18,36,36,2,1,2,4,4,9,
18,18,1,2,6,2,6,3,3,6,6,12,12,1,3,6,6,1,1,1,1],[1,9,1,2,4,2,4,9,9,6,6,2,1,2,4,
4,9,1,6,6,1,1,1,1],[1,15,1,2,4,2,4,9,15,8,6,12,6,2,1,2,4,4,9,6,1,8,2,6,4,6,1,
1,6,1,2,1],[1,3,1,5,10,8,16,1,3,3,6,5,4,8,16,16,1,1,2,1,2,2,4,3,4,1,1,1,2,2,2,
4,1],[1,9,18,1,2,4,2,4,27,9,6,6,6,6,12,18,2,1,2,4,4,9,18,1,2,6,6,6,6,12,1,3,6,
1,2,1],[1,9,3,27,1,2,4,2,4,27,3,3,3,6,9,1,3,6,9,18,18,36,36,2,1,2,4,4,9,9,18,
9,1,3,1,1,6,3,3,2,6,3,12,6,12,1,3,3,3,6,1,1,1,1],[1,12,3,1,2,4,2,4,9,4,3,3,6,
1,3,6,6,15,2,1,2,4,4,3,3,9,1,5,1,1,2,3,3,2,3,6,1,1,3,3,1,1,1,1],[1,3,36,1,2,4,
2,4,27,3,12,1,3,3,18,6,6,18,9,36,36,2,1,2,4,4,9,9,9,18,1,1,1,6,3,2,3,6,3,3,6,
12,12,1,3,3,3,6,1,1,1,1],[1,3,3,9,1,2,4,2,4,9,1,3,3,1,6,6,3,3,6,6,9,2,1,2,4,4,
3,3,9,2,1,1,2,1,3,2,3,3,3,6,1,1,3,3,1,1,1,1],[1,25,10,5,15,15,6,20,10,15,6,5,
10,6,5,1,1],[1,10,15,10,5,15,15,6,10,10,10,15,6,5,10,6,5,1,1],[1,10,15,10,5,
15,15,6,10,10,10,15,6,5,10,6,5,1,1],[1,1,15,15,10,5,15,15,6,10,10,10,5,6,6,6,
5,10,6,5,1,1],[1,15,10,10,5,15,15,6,10,10,10,15,6,5,10,6,5,1,1],[1,1,15,15,10,
5,15,15,6,10,10,10,5,6,6,6,5,10,6,5,1,1],[1,3,5,15,1,15,5,15,1,1,5,5,15,1,3,3,
5,5,5,1,3,1,3,5,1,1,1,3,1,1,1,1],[1,3,5,15,1,5,15,15,1,1,5,5,15,1,3,3,5,5,5,1,
1,3,3,5,1,1,1,3,1,1,1,1],[1,21,1,7,14,7,21,1,7,3,7,1,1,2,1,3,1,1],[1,4,17,10,
12,2,18,11,4,14,2,6,26,4,12,14,10,12,12,20,2,1,6,2,3,11,2,14,2,10,20,4,4,4,4,
4,10,10,6,6,6,14,6,4,4,4,12,20,4,4,4,4,4,1,1,1,3,10,2,6,6,2,2,2,1,1,3,6,2,6,2,
2,10,6,2,6,2,2,4,4,4,4,4,4,1,2,1,1,2,2,1,3,1,3,2,2,2,2,2,2,2,1,1,1,1,1,1,1,
1],[1,9,6,8,32,2,6,9,18,24,6,9,16,2,8,16,24,1,6,8,2,2,1],[1,9,6,1,16,32,2,6,9,
18,9,6,6,9,16,2,6,9,8,18,12,16,24,1,6,9,8,12,1,1,2,1],[1,9,6,1,4,8,2,6,9,18,9,
6,12,24,6,9,4,2,1,2,6,4,9,8,18,1,12,6,3,9,6,1,4,1,1,2,3,1],[1,9,6,4,4,32,2,6,
9,18,12,12,6,9,16,1,1,4,4,16,24,1,3,3,4,4,1,2,1,1],[1,9,6,8,16,16,2,6,9,18,24,
6,9,16,2,8,8,12,8,12,1,6,8,1,1,2,1],[1,3,4,36,1,4,8,1,3,3,18,18,18,18,3,4,12,
4,8,24,48,1,9,9,18,18,4,1,1,2,3,3,6,6,6,6,12,24,9,8,4,1,1,2,3,3,6,6,6,12,1,4,
3,3,6,2,1,1],[1,3,4,1,4,8,1,3,6,3,6,3,4,4,8,1,3,3,4,1,1,2,3,3,6,4,6,3,4,1,1,3,
2,3,1,4,1,3,1,1],[1,6,3,4,18,1,4,8,1,3,3,3,18,9,18,18,18,2,3,4,6,4,8,24,1,6,9,
9,18,4,1,1,2,1,3,6,3,3,6,6,6,12,3,8,4,1,1,2,2,3,3,6,6,1,4,1,3,1,2,1],[1,18,3,
4,18,1,4,8,1,3,9,9,3,18,9,9,18,6,3,12,4,24,6,4,8,12,24,1,9,9,9,9,9,9,4,1,1,2,
3,3,3,6,3,3,3,6,12,24,9,4,4,4,3,3,1,1,6,2,3,3,3,3,3,3,6,1,4,3,3,6,1,1,1,1],[1,
3,16,1,4,8,1,9,12,3,6,3,16,8,4,8,3,1,3,6,6,4,1,1,2,9,12,3,4,6,3,8,4,3,1,1,2,2,
3,6,6,1,4,1,3,1,2,1],[1,3,4,1,4,8,1,3,3,3,9,3,4,4,8,1,9,9,4,1,1,2,1,3,3,3,12,
3,4,1,1,2,3,3,1,4,1,3,1,1],[1,1,6,36,1,4,8,3,4,9,9,18,18,18,1,6,12,4,12,24,8,
12,24,1,9,9,18,18,4,3,3,4,1,3,6,2,6,6,12,24,9,4,4,4,1,1,3,3,2,6,3,6,3,6,6,1,4,
3,3,6,1,1,1,1],[1,21,9,9,1,4,8,1,3,9,27,3,9,27,7,12,9,24,3,4,12,9,9,3,3,9,9,9,
4,1,1,2,9,3,3,3,9,3,12,9,4,4,4,3,3,3,6,1,1,3,3,3,3,3,1,4,3,3,1,1,1,1],[1,3,6,
3,27,1,4,8,1,9,3,3,18,9,18,9,9,1,6,3,9,4,12,12,24,3,3,9,9,9,9,9,4,3,1,1,6,3,3,
2,3,6,3,3,12,9,4,4,4,1,1,3,3,3,3,3,3,3,3,6,1,4,3,3,1,1,1,1],[1,9,9,21,1,4,8,3,
1,9,9,3,27,27,3,9,7,12,4,24,12,9,3,9,3,9,9,9,4,3,3,3,1,1,2,9,9,3,12,9,4,4,4,3,
1,3,1,3,3,3,3,3,3,6,1,4,3,3,1,1,1,1],[1,7,12,1,4,8,3,9,4,9,6,7,12,4,4,4,8,1,3,
3,6,6,4,3,9,4,1,9,2,6,4,3,4,4,4,1,3,1,1,1,3,2,6,6,1,4,1,3,1,1,1,1],[1,9,6,3,
21,1,4,8,1,9,3,3,18,9,18,9,9,3,6,3,7,4,12,12,24,3,3,9,9,9,9,9,4,3,1,1,6,3,3,2,
3,6,3,3,12,9,4,4,4,1,1,3,3,3,3,3,3,3,3,6,1,4,3,3,1,1,1,1],[1,3,9,27,1,4,8,3,1,
3,9,9,27,27,1,9,9,12,4,12,24,9,3,3,9,9,9,9,4,3,1,1,3,3,2,9,9,3,12,9,4,4,4,1,3,
1,3,3,3,3,3,3,3,6,1,4,3,3,1,1,1,1],[1,3,9,27,1,4,8,1,3,3,9,27,9,27,1,9,9,4,12,
12,24,3,9,3,9,9,9,9,4,1,1,2,3,3,9,3,9,3,12,9,4,4,4,1,3,1,3,3,3,3,3,3,3,6,1,4,
3,3,1,1,1,1],[1,12,1,6,12,1,4,8,3,4,18,12,18,36,4,1,6,4,12,4,8,12,1,12,12,18,
4,6,3,4,1,4,6,2,12,12,3,4,4,4,1,4,1,4,6,2,3,3,1,4,1,3,1,1,1,1],[1,7,6,15,15,2,
2,9,15,9,9,6,9,18,9,27,2,8,2,6,2,8,6,2,6,6,6,6,9,9,9,9,9,9,9,1,6,8,6,2,6,6,6,
6,6,6,6,12,9,1,2,2,1,1,2,2,6,6,1,1,1,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,13,6,
1,4,8,10,3,6,12,13,6,4,4,4,8,1,3,6,3,6,4,10,3,12,6,1,4,2,3,4,4,4,1,3,6,3,1,1,
1,6,2,1,4,3,1,1,1,1,1],[1,15,9,27,1,1,2,1,3,3,21,3,27,45,5,3,9,6,9,2,3,6,6,9,
18,3,9,9,3,9,9,9,1,1,7,1,1,3,2,1,1,9,15,3,6,3,3,9,9,18,6,18,9,1,2,2,3,3,1,3,3,
3,1,3,3,3,3,6,3,3,3,3,3,1,2,1,3,1,1,1,3,2,3,3,1,1,1,1,1,1,1,1],[1,1,36,1,4,8,
3,18,1,12,4,12,24,8,12,24,1,9,9,4,3,6,12,24,9,4,4,4,1,1,1,1,3,3,4,3,3,3,3,1,
1],[1,9,21,9,5,8,1,9,3,21,9,9,27,5,18,3,18,24,3,3,9,3,9,9,9,9,4,1,1,2,3,3,18,
3,3,3,3,6,9,4,8,1,3,1,3,3,6,3,3,3,3,3,1,4,3,3,1,1,1,1],[1,21,28,14,21,28,8,21,
14,8,14,1],[1,7,1,7,7,8,1,7,8,1,1,1],[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],[1,7,28,7,28,8,1,7,8,7,1,1],[1,7,28,7,28,8,1,7,8,7,1,
1],[1,15,11,20,5,6,10,15,10,6,5,5,10,6,10,6,5,1,1],[1,15,1,10,20,5,6,15,10,10,
6,5,5,10,6,10,6,5,1,1],[1,15,10,1,20,5,6,10,15,10,6,5,5,10,6,10,6,5,1,1],[1,
15,1,10,20,5,6,15,10,10,6,5,5,10,6,10,6,5,1,1],[1,9,5,45,1,1,2,45,1,3,3,5,6,
15,5,10,15,30,1,1,9,9,15,15,30,1,1,2,1,5,5,9,1,1,2,3,3,3,3,6,6,5,1,3,3,6,1,1,
1,1],[1,5,1,1,2,15,1,5,5,10,1,1,5,15,1,1,2,5,3,1,1,2,5,1,1,3,1,1],[1,5,1,1,2,
15,1,5,5,10,1,1,5,15,1,1,2,5,3,1,1,2,5,1,1,3,1,1],[1,12,13,6,12,1,14,3,4,6,18,
12,12,36,18,36,4,13,6,4,2,1,2,3,3,6,6,12,12,12,18,18,36,36,14,6,3,4,4,12,12,6,
6,12,3,3,6,6,9,18,18,2,1,2,3,3,4,4,6,6,6,6,12,12,12,1,9,9,1,3,3,6,6,6,6,3,1,3,
3,1],[1,25,18,16,6,26,27,4,30,54,12,16,16,16,2,1,18,2,3,27,30,6,18,36,12,12,4,
8,16,3,3,3,18,6,6,18,6,4,4,4,8,8,8,8,1,6,3,3,6,4,8,3,1,1],[1,25,18,16,2,30,15,
12,30,42,12,16,16,16,4,3,6,6,9,15,30,6,24,48,12,12,8,12,16,1,3,9,24,6,18,12,6,
12,4,4,8,3,4,3,3,6,1,4,3,1,1,1,1],[1,12,9,10,36,1,2,6,11,4,2,6,18,18,4,36,18,
30,36,36,60,4,9,10,12,1,6,1,9,6,2,4,12,12,4,12,4,18,30,18,18,18,18,18,12,12,
12,36,36,12,12,12,12,2,6,6,2,11,4,12,18,6,2,10,12,12,20,4,1,3,1,1,2,2,6,6,3,3,
3,18,6,18,6,6,18,6,18,6,6,12,12,12,12,1,2,6,1,9,4,4,4,6,10,6,2,6,6,6,6,4,12,4,
4,4,4,4,4,4,4,4,12,1,6,3,3,6,6,6,6,6,1,1,2,2,1,1,1,1,1,2,2,2,6,6,2,2,6,2,2,6,
2,4,4,4,4,3,2,1,1,1,2,2,2,2,2,1],[1,9,10,1,2,6,11,4,2,18,4,24,9,10,1,6,1,9,2,
4,4,4,12,12,2,6,11,4,18,8,2,4,1,1,1,2,2,6,6,1,6,1,9,2,4,4,4,4,4,1,3,3,1,2,1,1,
2,2,2,3,1,1,1,1],[1,13,6,24,16,14,3,4,6,6,12,6,12,12,12,16,16,16,2,1,2,3,3,6,
6,12,6,6,12,12,12,12,12,12,4,8,16,3,6,6,3,3,6,6,6,12,12,4,8,8,4,4,1,3,3,6,6,4,
8,3,1,1],[1,5,6,24,1,2,3,4,10,6,4,30,12,12,12,5,6,8,1,1,1,4,4,12,6,6,12,12,12,
12,12,2,2,3,4,4,10,10,4,4,4,1,2,3,3,6,6,6,1,1,1,2,2,4,4,4,4,4,4,4,4,1,3,3,2,1,
1,1,2,2,2,3,1,1,1,1],[1,13,6,24,1,14,3,4,6,6,12,6,12,12,12,13,6,8,2,1,2,3,3,6,
6,12,6,6,12,12,12,12,12,12,14,2,3,4,12,2,6,4,4,4,3,6,6,3,3,6,6,6,12,12,2,1,2,
3,3,2,2,6,4,6,4,4,4,12,4,4,1,3,3,6,6,3,1,1,2,2,2,6,6,4,4,3,1,1,1,2,2,1],[1,17,
10,1,2,18,11,4,14,26,4,17,10,2,1,6,2,3,11,14,2,10,20,4,4,2,18,11,4,26,14,4,1,
1,3,10,2,6,6,2,2,1,6,2,3,11,2,14,10,4,4,20,1,2,1,1,2,1,3,1,10,2,6,6,2,1,1,2,1,
1,2,1],[1,12,5,6,12,1,2,3,4,10,18,4,12,12,18,36,4,5,6,4,1,1,1,4,4,12,12,6,18,
12,12,12,2,6,3,4,4,4,4,10,6,12,3,1,2,3,6,6,6,1,1,1,4,4,6,2,4,4,4,4,4,1,3,3,1,
1,1,2,2,2,2,3,1,1,1,1],[1,4,13,6,4,16,14,3,4,6,6,12,4,12,6,12,16,16,16,2,1,2,
3,3,6,6,12,4,4,6,6,12,12,4,8,16,1,3,6,6,3,6,6,4,8,8,4,4,1,3,3,4,1,1,1],[1,8,9,
18,24,4,2,6,15,12,6,4,16,18,12,24,12,24,24,24,48,4,8,12,8,12,3,6,3,9,4,6,12,
12,8,12,12,12,12,24,12,12,12,12,12,12,12,12,24,24,12,12,12,12,1,4,4,4,8,4,4,
12,12,8,1,3,3,3,6,6,4,4,3,3,3,12,6,12,6,6,12,6,12,6,6,12,12,12,12,1,3,2,3,4,4,
2,4,4,4,4,4,3,4,3,3,6,6,6,6,6,1,1,1,1,1,3,3,2,2,4,3,1,1,1,1,1,1,1,1],[1,13,6,
24,16,14,3,4,6,6,12,6,12,12,12,16,16,16,2,1,2,3,3,6,6,12,6,6,12,12,12,12,12,
12,4,8,16,3,6,6,3,3,6,6,6,12,12,4,4,4,8,4,4,1,3,3,6,6,4,4,4,3,1,1],[1,18,3,1,
5,10,8,16,1,9,9,6,12,3,24,3,6,18,9,5,4,8,16,16,1,1,2,3,3,1,2,2,4,9,9,4,6,3,12,
24,3,3,6,9,4,1,1,1,2,2,2,3,3,4,4,1,3,3,6,1,1],[1,21,1,5,10,8,16,1,9,9,21,18,3,
6,24,9,5,4,8,16,16,1,1,2,1,9,2,2,3,3,4,9,4,18,3,24,3,3,9,6,4,1,1,1,2,2,2,3,3,
4,4,1,3,3,6,1,1],[1,6,15,1,2,4,2,4,9,9,9,6,15,8,2,6,12,6,6,12,9,2,1,2,4,4,9,9,
6,9,6,1,8,2,2,2,6,4,4,6,6,9,1,1,1,1,6,6,1,2,2,1,1,1,1,1],[1,15,18,1,2,4,2,4,9,
27,27,15,6,8,6,12,6,6,12,18,27,2,1,2,4,4,9,9,6,9,18,1,2,8,2,6,4,6,6,6,12,9,1,
1,3,6,3,6,1,2,2,3,1,1,1,1],[1,3,6,9,45,1,2,4,2,4,9,18,54,27,27,1,6,9,15,6,2,6,
6,6,6,6,18,12,12,18,18,36,36,27,2,1,2,4,4,6,9,9,18,9,6,6,18,18,18,18,18,18,36,
1,2,2,6,2,2,2,6,3,3,4,6,6,6,6,6,12,12,12,9,18,1,1,2,3,3,6,6,6,6,6,6,6,6,6,12,
1,1,1,2,2,3,6,1,1,1,2,2,1],[1,18,6,9,1,2,4,2,4,27,9,27,6,6,6,9,12,6,2,18,6,6,
12,27,2,1,2,4,4,9,9,9,18,6,2,1,6,6,2,2,4,6,6,6,12,9,1,1,6,3,3,6,1,2,2,3,1,1,1,
1],[1,21,15,27,1,2,4,2,4,9,45,81,7,6,15,12,9,8,6,12,6,24,6,18,18,36,36,27,2,1,
2,4,4,15,9,6,27,24,18,18,18,36,36,2,1,8,8,2,2,6,6,3,3,4,6,6,6,12,12,12,9,18,1,
1,8,6,6,3,6,3,6,6,12,6,12,1,1,1,2,2,6,3,1,1,1,2,2,1],[1,9,3,27,1,5,10,8,16,1,
27,27,3,3,3,6,9,3,6,36,9,18,9,5,4,8,16,16,1,1,2,1,2,2,4,9,9,9,9,18,18,1,12,3,
3,12,24,3,3,9,6,4,1,1,1,2,2,2,3,3,4,4,1,3,3,6,1,1],[1,3,9,27,1,2,4,2,4,9,27,
27,1,9,9,6,6,6,6,18,18,36,36,27,2,1,2,4,4,9,9,9,18,18,1,2,6,2,6,3,3,6,6,12,12,
9,1,1,3,3,6,6,1,1,1,3,1,1,1,1],[1,18,9,18,1,2,4,2,4,27,9,27,6,6,9,12,6,6,18,6,
6,12,18,27,2,1,2,4,4,9,9,9,18,18,2,1,6,2,6,6,6,6,6,12,12,9,1,1,6,3,3,6,1,2,2,
3,1,1,1,1],[1,11,25,15,10,5,15,15,25,15,15,45,6,10,20,10,20,10,15,15,5,15,15,
15,15,6,6,6,5,10,20,10,10,20,15,6,6,6,5,5,5,10,6,5,1,1,1,1,1],[1,1,10,15,25,
10,5,15,15,15,10,15,30,15,15,6,10,10,10,10,10,10,10,15,5,15,15,15,15,15,6,6,6,
5,10,10,10,10,10,10,10,15,6,6,6,5,5,5,10,6,5,1,1,1,1,1],[1,9,42,8,32,2,6,27,
36,18,18,36,48,24,96,9,6,9,9,18,36,36,36,16,2,8,16,24,24,24,1,9,9,18,18,16,6,
12,24,24,48,9,8,2,2,6,6,8,6,6,1,1],[1,18,9,6,54,1,4,8,2,6,9,9,9,18,54,27,27,
54,54,54,6,9,12,6,24,18,12,24,36,72,6,9,9,18,27,27,27,27,27,27,27,54,54,4,2,1,
2,6,3,3,4,9,18,8,18,9,9,18,18,18,36,36,72,72,1,9,9,27,27,27,27,4,12,12,3,3,6,
3,9,6,6,6,9,9,9,9,9,9,9,9,12,18,18,18,24,9,1,4,12,12,1,1,2,3,3,9,9,9,9,9,9,18,
18,1,3,3,4,3,3,6,1,3,3,1],[1,21,6,1,16,32,2,24,9,18,18,21,6,16,3,6,9,18,9,18,
16,2,24,9,8,18,18,12,16,24,1,9,9,16,3,6,9,18,9,12,18,3,8,12,1,1,2,9,9,12,1,3,
1,1],[1,21,6,8,32,2,24,9,18,18,16,24,48,3,6,9,18,9,18,16,2,8,16,24,1,9,9,16,6,
12,12,3,8,2,2,1,3,1,1],[1,13,6,1,16,32,14,3,4,6,12,13,6,16,32,2,1,2,3,3,6,6,
12,16,14,3,4,4,12,6,8,8,16,3,6,6,16,2,1,2,3,3,4,6,6,8,8,8,8,8,12,16,1,4,8,3,6,
6,4,8,8,1,1,2,1],[1,21,6,8,16,16,2,24,9,18,18,16,24,48,3,6,9,18,9,18,16,2,8,8,
12,8,12,1,9,9,16,6,12,12,3,8,1,1,2,1,3,1,1],[1,9,18,1,16,32,2,6,15,12,6,18,12,
9,18,16,3,6,3,9,6,12,12,12,16,2,6,15,12,8,18,6,12,16,12,24,1,3,3,6,6,16,3,6,3,
9,6,4,12,12,12,8,3,8,12,1,1,2,3,3,6,6,4,8,1,3,1,1],[1,24,3,16,36,1,4,8,1,9,12,
9,48,3,6,36,9,54,18,18,108,8,3,12,16,24,12,8,4,8,24,12,24,3,1,9,3,36,6,6,36,6,
54,9,9,9,9,9,18,18,18,18,18,18,18,4,1,1,2,16,3,9,12,12,3,3,18,4,6,6,36,6,24,
12,12,24,24,9,3,3,9,9,9,9,18,18,18,18,4,8,8,4,4,3,3,3,1,1,12,6,2,2,12,2,3,18,
3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,12,9,1,8,4,4,4,8,3,1,1,3,3,3,3,3,3,3,6,6,6,
6,6,6,6,1,1,1,2,2,4,3,3,1,1,1,2,2,1],[1,6,9,6,18,8,32,2,6,9,3,3,18,18,9,9,18,
18,18,4,24,24,12,6,9,3,6,9,9,9,9,9,9,9,18,18,16,2,8,16,24,12,12,12,12,1,3,3,9,
9,9,9,16,1,6,3,4,6,12,3,8,2,2,3,3,3,3,4,4,1,3,1,1],[1,6,3,4,54,1,4,8,1,3,6,3,
3,6,18,18,27,36,36,18,2,3,4,18,4,8,24,24,48,1,3,3,6,9,9,18,18,18,18,18,18,36,
4,1,1,2,1,3,6,3,6,6,9,4,12,12,6,6,12,12,24,3,3,9,9,9,9,9,8,8,4,1,1,3,2,2,6,3,
3,3,6,6,6,6,6,12,12,6,6,12,9,1,4,4,4,1,1,3,3,3,3,3,3,3,3,6,2,1,2,4,3,3,1,1,1,
1],[1,3,16,36,1,4,8,1,9,12,3,3,6,27,18,18,18,3,16,12,8,4,8,24,48,3,1,3,6,6,18,
9,9,18,18,18,18,4,1,1,2,1,9,12,3,9,6,4,6,6,6,12,12,24,3,3,9,9,9,9,9,8,8,4,3,1,
1,2,2,3,3,3,6,6,6,6,6,6,6,6,12,12,9,1,4,4,4,1,1,3,3,3,3,3,3,3,3,6,2,1,2,4,3,3,
1,1,1,1],[1,18,3,4,18,1,4,8,1,3,6,12,9,3,6,18,18,9,18,6,3,12,4,24,6,4,8,12,24,
1,3,9,3,9,9,18,9,9,9,18,18,4,1,1,2,3,4,3,6,3,6,6,3,4,6,6,12,12,24,3,3,9,9,9,9,
9,4,4,4,3,3,1,1,3,6,2,3,6,3,3,3,3,3,3,6,6,6,12,9,1,4,4,4,1,1,3,3,3,3,3,3,3,3,
6,1,1,1,4,3,3,1,1,1,1],[1,6,9,6,18,1,4,8,2,6,9,3,3,18,18,9,9,18,18,18,2,9,6,6,
12,24,24,6,9,3,6,9,9,9,9,9,9,9,18,18,4,2,1,2,6,1,1,4,9,6,8,18,3,3,6,6,6,12,12,
1,3,3,9,9,9,9,8,12,1,6,3,9,6,2,3,3,3,3,3,3,3,6,6,6,12,3,1,4,4,4,1,1,2,1,1,3,3,
3,3,3,3,3,2,4,1,3,1,1,1,1],[1,13,6,1,16,32,2,12,9,6,18,13,6,16,32,1,6,9,6,3,6,
16,2,12,9,8,18,6,12,16,24,1,3,3,16,1,6,9,6,3,4,6,8,1,8,12,1,1,2,3,3,4,1,1,2,1,
1],[1,9,18,1,4,8,2,6,15,12,6,18,12,9,18,8,12,24,3,6,3,9,6,12,12,12,4,2,1,2,6,
4,15,12,8,18,6,4,4,12,1,3,3,6,6,8,12,3,6,3,3,9,2,6,6,4,12,12,12,3,1,4,4,4,1,1,
2,1,1,3,3,6,6,3,2,4,1,3,1,1,1,1],[1,6,9,6,18,4,4,32,2,6,9,3,3,18,18,9,9,18,18,
18,4,12,12,24,12,6,9,3,6,9,9,9,9,9,9,9,18,18,16,1,1,4,4,16,24,12,12,12,12,1,3,
3,9,9,9,9,16,3,1,3,6,3,4,12,3,4,4,1,2,1,3,3,3,3,4,4,1,3,1,1],[1,12,7,12,48,1,
4,8,3,9,4,9,18,9,6,48,9,36,54,54,72,4,7,12,16,4,12,4,12,4,24,8,12,12,24,1,3,9,
3,12,18,6,12,6,36,9,27,9,9,9,18,18,18,54,18,18,18,4,3,6,3,9,4,1,16,9,3,12,2,
18,18,24,6,4,12,12,12,12,12,12,24,3,3,9,9,9,9,9,18,18,18,18,4,4,4,4,4,4,4,1,3,
3,4,1,1,4,6,1,9,12,3,3,3,3,3,2,6,6,6,6,3,6,3,3,6,3,6,6,18,6,6,12,9,1,4,4,4,4,
4,4,4,1,3,1,3,3,3,3,3,3,3,6,3,6,6,6,3,3,3,6,1,1,1,1,1,1,1,4,3,3,1,1,1,1,1,1,1,
1],[1,21,28,28,14,21,42,28,28,28,8,21,21,21,14,28,8,21,8,14,8,1,1],[1,45,20,
20,15,15,45,36,60,60,45,10,36,15,15,10,15,15,10,6,6,1],[1,30,15,1,10,20,5,45,
45,6,10,30,15,60,10,30,45,10,6,5,5,10,15,15,30,6,10,10,10,18,15,15,30,6,5,10,
1,6,5,3,1,1],[1,45,11,20,5,45,45,6,50,45,60,45,10,6,5,5,10,45,15,6,10,20,18,
15,15,30,6,5,10,1,6,5,3,1,1],[1,3,15,45,11,20,5,45,45,6,1,10,15,30,45,60,15,
10,6,18,18,5,5,10,15,15,30,6,10,10,10,18,5,15,6,6,6,5,10,1,6,5,3,1,1],[1,25,1,
10,20,5,15,15,6,25,20,10,20,15,10,6,5,5,10,15,10,15,6,20,10,6,5,15,6,5,10,1,6,
5,1,1,1],[1,3,15,45,1,10,20,5,45,45,6,1,15,15,10,30,30,60,15,10,6,18,18,5,5,
10,15,15,30,6,10,10,10,18,5,15,6,6,6,5,10,1,6,5,3,1,1],[1,10,15,1,10,20,5,15,
15,6,10,15,10,10,10,20,15,10,6,5,5,15,10,15,10,6,10,10,10,6,5,15,6,5,10,1,6,5,
1,1,1],[1,3,15,45,1,10,20,5,45,45,6,1,15,15,30,10,30,60,15,10,6,18,18,5,5,15,
10,15,30,6,10,10,10,18,5,15,6,6,6,5,10,1,6,5,3,1,1],[1,10,15,11,20,5,15,15,6,
10,10,15,20,20,15,10,6,5,5,10,10,15,15,6,10,10,10,6,5,15,6,5,10,1,6,5,1,1,1],[
1,15,30,1,10,20,5,45,45,6,15,10,30,10,60,30,45,10,6,15,5,5,10,15,30,6,10,10,
10,18,15,15,30,6,5,10,1,6,5,3,1,1],[1,9,5,45,1,1,2,15,15,45,1,3,3,5,6,15,5,10,
15,30,45,1,1,9,9,5,5,15,15,15,15,30,1,1,2,1,5,5,3,3,9,15,15,1,1,2,3,3,3,3,6,6,
5,5,5,9,1,1,1,3,3,3,3,6,5,1,1,1,3,3,1,1,1,1],[1,3,15,45,10,1,20,5,45,45,6,1,
10,15,30,30,15,60,15,10,6,18,18,5,5,10,15,30,15,6,10,10,10,18,15,5,6,6,6,5,10,
1,6,5,3,1,1],[1,12,17,10,36,1,2,18,11,4,14,6,18,26,4,36,42,30,36,36,60,4,17,
10,12,2,1,6,2,3,11,6,14,2,10,20,12,12,4,12,4,30,30,18,18,18,42,18,12,12,12,36,
60,12,12,12,12,12,2,18,6,2,11,4,12,26,14,14,10,12,12,20,4,1,3,1,3,10,2,6,6,2,
6,6,3,3,9,18,6,18,6,6,30,18,6,18,6,6,12,12,12,12,12,12,2,1,2,6,2,3,11,4,4,4,6,
10,6,2,10,14,6,10,6,14,4,20,4,4,4,4,20,4,4,4,4,4,12,1,2,1,1,6,2,3,9,3,9,6,6,6,
6,6,6,6,1,1,2,2,3,3,1,1,1,2,6,2,10,6,2,2,2,6,2,10,2,6,6,6,2,4,4,4,4,4,4,3,1,3,
3,3,3,3,1,2,2,3,1,3,1,1,1,2,2,2,2,2,2,2,2,3,1,1,1,1,1,1,1,1],[1,4,25,18,28,16,
6,26,27,4,30,6,6,54,12,28,18,18,36,36,36,16,16,16,16,16,16,16,2,1,18,2,3,27,6,
30,6,18,36,4,12,12,4,12,18,18,18,18,18,18,18,12,12,12,36,36,12,12,12,12,12,4,
8,16,16,16,16,16,16,16,3,1,3,3,18,6,6,18,6,6,6,3,3,3,18,6,18,6,6,18,6,6,18,6,
6,12,12,12,12,12,12,4,4,4,8,8,8,8,4,4,4,4,16,1,6,3,3,6,6,3,3,3,3,6,6,6,6,6,6,
6,4,8,4,4,4,4,4,4,8,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,9,6,1,8,16,32,64,2,6,9,18,
9,6,24,48,6,9,8,16,32,64,64,2,2,4,6,8,9,16,16,18,24,32,48,1,24,6,6,9,12,16,2,
8,8,16,16,16,24,32,1,2,2,4,4,6,8,1,2,2,4,4,1],[1,21,6,15,45,1,2,4,2,4,9,45,9,
9,18,27,54,27,81,7,6,6,15,12,15,8,2,6,12,6,24,6,6,6,18,12,12,18,18,36,36,27,9,
27,27,27,27,27,2,1,2,4,4,15,9,6,9,9,6,9,18,27,9,24,6,6,18,18,18,18,18,18,18,
36,36,36,27,2,1,8,2,8,2,2,2,2,6,6,3,3,4,4,6,6,6,6,6,6,12,12,12,12,9,9,9,9,9,9,
9,18,18,1,1,1,1,2,8,6,6,3,3,6,3,3,6,6,6,12,6,6,6,6,6,6,6,12,12,9,1,1,1,2,2,2,
2,1,3,3,3,6,3,3,3,6,1,1,1,1,1,1,1,2,2,2,2,3,1,1,1,1,1,1,1,1],[1,27,21,27,1,5,
10,8,16,1,9,9,63,9,27,81,9,15,21,30,9,18,3,6,54,24,9,18,9,27,9,9,27,27,27,5,4,
8,16,16,1,1,2,21,3,1,9,2,2,3,3,4,9,27,9,54,9,9,9,9,18,18,18,27,5,4,18,18,3,3,
24,24,48,3,3,9,6,3,3,3,3,9,9,9,9,9,6,6,9,9,9,9,9,4,1,1,1,18,2,2,2,3,3,3,12,3,
3,3,4,6,9,9,9,4,8,1,1,1,3,3,3,3,3,3,3,3,3,3,6,6,6,4,1,3,3,3,1,1,1,1],[1,21,1,
28,56,14,21,21,28,8,21,28,14,21,14,28,28,8,8,16,21,14,14,8,14,1,1],[1,21,1,28,
56,7,7,21,21,28,8,21,28,7,7,7,7,14,14,21,28,8,8,16,7,21,7,7,7,8,7,7,1,1],[1,7,
1,28,56,7,7,28,56,8,1,28,7,7,14,28,8,8,16,1,7,14,7,1,8,7,1,1,1,1,1],[1,15,1,
11,22,20,40,5,6,15,10,15,30,11,10,20,40,40,6,5,5,10,5,10,10,20,6,6,12,10,10,
15,20,10,6,6,12,5,5,5,10,10,10,20,6,10,1,6,5,1,1,2,1],[1,33,42,8,32,2,42,27,
36,54,90,36,48,32,24,96,96,6,9,6,18,27,27,54,18,54,108,36,36,16,2,8,16,24,24,
24,96,1,9,27,54,18,54,18,18,16,32,6,12,24,24,24,24,48,9,6,9,9,18,8,16,2,2,6,6,
24,9,8,2,6,6,6,1,6,1,2,1],[1,12,13,6,12,1,16,32,14,3,4,6,18,12,12,36,18,36,4,
13,6,4,48,16,32,48,2,1,2,3,3,6,6,12,12,12,18,18,36,36,16,14,6,3,4,4,4,12,12,6,
6,8,8,12,16,48,3,3,6,6,9,18,18,16,16,16,2,1,2,3,3,4,4,4,6,6,6,6,12,8,8,8,8,8,
12,12,12,12,16,1,9,9,4,8,16,1,3,3,6,6,6,6,12,3,4,4,4,8,8,1,1,2,3,3,4,1,3,1,
1],[1,25,18,1,16,32,6,26,27,4,30,54,12,25,18,16,16,16,32,2,1,18,2,3,27,30,6,
18,36,12,12,16,6,26,27,4,4,54,30,8,8,12,16,16,3,3,3,18,6,6,18,6,16,16,16,2,1,
18,2,3,27,4,4,4,6,30,18,8,8,8,8,8,8,8,12,12,36,16,1,6,3,3,6,4,8,16,3,3,3,4,18,
6,18,6,6,8,3,4,4,4,8,8,8,8,1,1,2,6,3,3,6,4,8,1,3,1,1],[1,12,9,42,36,8,32,2,6,
27,36,18,6,42,18,36,36,18,54,36,36,108,8,48,24,48,96,24,9,6,9,9,6,18,36,36,12,
36,36,36,18,54,18,18,18,18,18,36,36,36,36,36,36,36,36,36,16,2,8,16,24,24,24,
48,24,24,24,24,48,1,9,9,9,18,18,6,6,9,9,9,18,18,18,18,18,18,18,18,18,18,36,36,
36,36,16,32,2,6,12,6,8,24,24,12,48,24,24,24,24,24,9,6,9,9,18,18,18,18,18,8,16,
2,2,6,6,6,6,6,6,12,12,24,9,8,8,8,6,2,6,6,6,6,6,6,1,8,6,1,2,1],[1,9,42,8,32,2,
6,27,36,18,18,36,72,48,24,96,9,6,9,9,18,36,36,36,36,36,16,2,8,16,24,24,24,1,9,
9,18,18,18,18,16,6,12,24,24,48,9,9,9,8,16,2,2,6,6,9,8,6,6,1,1,1],[1,13,6,72,1,
16,32,14,3,4,6,18,12,18,36,36,36,13,6,24,16,48,96,32,48,96,2,1,2,3,3,6,6,12,
18,18,36,36,36,36,36,36,16,14,6,3,4,4,12,6,6,12,8,8,12,12,16,48,96,3,6,6,9,9,
18,18,18,36,36,16,16,16,2,1,2,3,3,4,6,6,6,12,6,8,8,8,8,8,12,12,12,12,12,12,12,
12,16,24,24,1,9,9,18,18,4,8,16,3,3,3,6,6,6,6,6,12,12,12,24,24,24,24,9,4,4,4,8,
8,1,1,2,3,3,6,6,4,8,3,3,6,1,1],[1,24,9,18,72,1,4,8,2,6,15,12,6,12,48,18,12,72,
36,72,72,72,144,8,9,12,18,24,24,8,12,24,24,36,72,3,6,3,9,12,6,12,36,24,12,36,
12,36,72,36,36,36,36,36,36,36,36,72,72,36,36,36,36,4,2,1,2,6,16,4,4,15,12,24,
8,18,12,6,24,4,4,24,24,48,12,24,12,12,36,36,72,24,72,1,9,3,3,6,6,12,12,9,9,9,
36,18,36,18,18,36,18,36,18,18,36,36,36,36,4,8,8,12,12,3,4,3,6,3,3,9,12,6,2,6,
12,8,12,24,12,6,12,12,9,12,12,12,4,12,24,12,12,12,6,12,12,12,18,12,12,12,24,
24,12,12,12,12,12,3,12,9,9,18,18,18,18,18,1,4,8,4,12,4,4,4,12,8,1,1,3,2,4,1,4,
1,3,3,3,3,3,6,6,3,3,6,12,12,6,6,9,9,12,6,6,12,6,12,6,18,12,12,12,6,18,12,9,1,
3,3,4,2,2,4,4,4,4,4,4,3,1,4,3,3,3,6,3,6,6,6,3,3,3,6,6,3,1,3,1,1,3,1,1,2,2,4,3,
3,1,1,1,1,1,1,1,1],[1,25,18,1,16,32,2,30,15,12,30,42,12,25,18,16,16,16,32,4,3,
6,6,9,15,30,6,24,48,12,12,16,2,30,15,12,8,42,30,12,16,12,16,24,1,3,9,24,6,18,
12,6,16,16,16,4,3,6,6,9,15,6,30,24,12,4,4,12,12,48,8,8,3,4,3,3,6,8,12,16,1,1,
2,9,3,24,6,12,18,6,4,3,12,4,4,8,1,3,1,1,4,3,3,2,6,1,4,1,3,1,1,1,1],[1,15,60,
20,20,15,45,60,45,90,36,80,20,60,60,60,15,15,45,90,90,10,36,15,15,60,60,45,10,
20,20,36,15,30,15,15,15,10,10,10,15,15,6,6,10,6,6,1,1],[1,1,45,45,20,20,15,15,
45,45,45,45,45,36,60,20,20,60,60,60,15,15,45,45,45,45,45,10,36,36,36,15,15,60,
60,45,10,10,10,36,15,15,15,15,15,15,10,10,10,15,15,6,6,10,6,6,1,1],[1,15,45,
15,20,20,15,15,45,45,45,45,45,36,20,60,60,20,60,60,45,15,15,45,45,45,45,10,36,
15,15,60,60,45,10,20,20,36,15,15,15,15,15,15,10,10,10,15,15,6,6,10,6,6,1,1],[
1,13,45,45,11,20,5,45,15,45,45,45,135,6,11,50,45,20,50,60,45,60,15,45,15,45,
45,45,45,10,6,18,18,5,5,10,45,15,50,45,15,45,15,60,90,6,45,10,20,10,10,20,6,
18,18,5,15,5,15,15,30,45,15,15,15,15,6,6,6,5,10,10,10,20,20,18,15,15,1,6,6,6,
5,5,5,10,3,1,3,6,5,1,3,1,1,1,1],[1,3,10,15,75,1,10,20,5,45,15,15,30,45,90,45,
45,6,1,10,15,25,10,30,10,30,10,60,20,30,30,60,15,15,45,45,45,45,45,10,6,18,18,
15,5,5,10,15,15,10,15,30,15,15,10,30,30,30,30,30,30,60,6,45,10,10,10,10,10,10,
10,18,6,18,5,5,15,15,15,15,15,15,15,15,30,30,6,6,6,5,10,10,10,10,10,10,10,18,
15,15,1,6,6,6,5,5,5,10,1,3,3,6,5,1,3,1,1,1,1],[1,33,25,45,1,10,20,5,15,45,75,
15,45,135,6,11,30,25,60,15,20,10,20,60,30,60,45,45,15,15,45,45,45,10,6,18,18,
5,5,10,25,15,15,10,15,45,15,60,30,30,60,60,6,45,10,20,20,10,10,18,6,18,15,15,
15,30,5,5,15,15,15,15,15,30,6,6,6,5,20,10,10,10,20,18,15,15,1,6,6,6,5,5,5,10,
1,3,3,6,5,1,3,1,1,1,1],[1,9,42,1,8,16,32,64,2,6,27,36,18,18,36,9,42,48,24,48,
96,9,6,9,9,18,36,36,36,8,16,32,64,64,2,2,4,6,8,27,36,16,16,18,18,24,24,24,32,
36,48,1,9,9,18,18,16,48,24,96,9,6,6,9,9,12,12,18,24,24,36,36,36,48,16,9,2,8,8,
16,16,16,24,24,24,32,1,2,2,4,4,6,6,9,9,18,18,16,6,8,12,24,24,48,6,6,9,8,1,2,2,
4,4,6,6,8,1,6,6,1,1],[1,18,9,6,54,1,8,16,32,64,2,6,9,9,9,18,54,27,27,54,54,54,
6,9,12,6,24,18,24,48,72,36,72,6,9,9,18,27,27,27,27,27,27,27,54,54,8,16,32,64,
64,2,2,4,6,3,3,8,9,18,16,16,18,9,9,24,32,18,18,18,48,36,36,36,36,72,72,1,9,9,
27,27,27,27,4,24,12,24,48,96,3,3,6,6,9,6,12,6,9,9,9,9,9,9,9,9,12,18,18,18,18,
24,36,16,9,2,8,8,16,16,16,12,24,12,12,12,32,1,2,2,4,4,3,3,9,9,9,9,9,9,9,9,18,
18,16,1,3,6,4,6,12,12,12,24,24,3,3,6,9,8,1,2,2,4,4,3,3,3,3,4,4,1,3,3,6,1,1],[
1,21,6,1,8,16,32,64,2,24,9,18,18,21,6,16,24,48,48,96,3,6,9,18,9,18,8,16,32,64,
64,2,2,4,24,8,9,16,16,18,18,24,32,48,1,9,9,16,16,24,32,48,3,6,6,9,12,18,9,12,
12,18,24,16,3,2,8,8,16,16,16,24,32,1,2,2,4,4,9,9,16,6,12,12,1,3,3,6,8,1,2,2,4,
4,1,1,2,3,1,1],[1,21,84,1,28,56,14,21,126,21,28,28,84,84,168,8,21,63,63,28,14,
21,14,42,28,84,24,63,28,28,28,8,8,16,21,14,21,21,14,28,8,24,21,8,14,8,1,3,1,
1],[1,45,1,20,40,20,40,15,15,45,36,45,60,60,45,20,10,20,40,40,36,15,15,30,15,
15,30,45,36,10,60,60,15,15,45,10,36,15,10,15,10,6,6,15,15,10,6,6,1,1],[1,45,1,
11,22,20,40,5,45,45,6,45,50,45,90,60,45,11,10,20,40,40,6,5,5,10,5,45,10,10,45,
15,20,45,6,6,12,10,50,20,45,40,60,18,15,15,45,30,10,6,6,12,5,5,10,5,10,10,10,
45,15,20,6,10,20,1,6,18,5,15,15,30,6,10,5,3,1,1,2,6,5,1,3,1,1],[1,30,15,1,11,
22,20,40,5,45,45,6,10,30,15,60,10,15,30,60,60,45,11,10,20,40,40,6,5,5,10,15,
15,5,10,10,20,30,45,45,6,6,12,10,20,10,10,20,15,30,20,30,60,18,15,15,30,45,10,
6,6,12,5,5,5,10,10,10,10,15,15,20,30,6,10,10,10,1,6,18,5,15,15,30,6,5,10,3,1,
1,2,6,5,1,3,1,1],[1,9,15,135,1,11,22,20,40,5,135,135,6,3,3,15,6,45,10,15,30,
90,135,180,270,360,45,11,10,20,40,40,6,54,54,5,5,10,5,10,10,20,45,45,45,45,90,
90,90,6,6,12,1,30,10,10,45,15,30,20,60,30,120,60,120,54,15,15,45,30,10,6,6,12,
18,18,18,18,36,36,5,5,5,10,10,10,15,15,20,30,30,60,6,10,10,10,1,18,18,36,5,15,
15,30,6,6,6,5,10,9,1,1,2,6,5,3,3,6,1,1],[1,12,33,42,36,8,32,2,42,27,36,54,6,
42,90,36,36,90,54,36,36,108,8,48,32,24,48,96,96,24,6,9,6,18,27,27,6,54,18,54,
108,36,12,36,36,36,54,54,18,18,18,90,18,36,36,36,36,108,36,36,36,36,36,16,2,8,
16,24,24,24,48,96,24,24,24,24,48,1,9,9,27,54,18,54,18,18,6,6,9,9,27,18,18,18,
18,18,54,54,18,18,18,18,36,36,36,36,36,36,16,32,32,2,6,12,6,24,8,24,24,24,12,
48,24,24,24,24,24,9,6,9,9,6,18,9,27,9,27,18,18,18,18,18,18,18,8,16,16,16,2,2,
6,6,6,6,6,6,24,12,12,24,9,9,9,9,9,9,9,8,8,16,8,2,6,6,2,6,6,6,6,6,6,9,1,8,6,6,
1,2,2,1,1,1,1],[1,12,25,18,84,1,16,32,6,26,27,4,30,18,18,54,12,84,54,54,108,
108,108,4,25,18,28,16,48,16,48,16,96,32,48,48,96,2,1,18,2,3,27,18,30,6,18,36,
12,36,12,12,12,54,54,54,54,54,54,54,36,36,36,108,108,36,36,36,36,36,16,6,26,6,
6,27,4,4,28,54,18,30,18,8,8,36,36,36,12,16,48,16,48,48,48,48,48,96,3,3,3,3,18,
6,6,18,6,18,18,9,9,9,54,18,54,18,18,54,18,18,54,18,18,36,36,36,36,36,36,16,16,
16,16,16,16,16,2,1,6,18,2,3,27,4,4,4,4,12,4,18,18,18,6,18,30,18,18,18,18,8,8,
8,8,8,8,8,12,36,12,12,12,12,12,36,12,12,12,12,12,12,12,12,36,16,24,24,48,1,6,
3,3,18,6,9,9,9,9,18,18,18,18,18,18,18,4,16,8,16,16,16,16,16,16,3,1,6,6,3,3,3,
3,3,4,6,6,6,18,18,6,6,6,18,6,18,6,18,18,6,6,8,12,12,12,12,12,12,12,12,12,12,
12,12,24,24,24,24,3,3,9,9,9,9,9,4,4,4,4,4,4,4,8,8,8,8,16,1,1,2,6,6,3,3,3,3,3,
3,6,6,6,6,6,6,6,6,12,9,4,4,4,4,4,4,4,8,8,1,1,3,3,3,3,3,3,3,3,6,1,4,3,3,1,1,1,
1],[1,49,42,112,14,70,63,28,126,126,84,112,112,112,64,8,7,42,14,21,63,126,42,
84,168,84,84,28,56,112,112,7,21,21,84,42,42,84,42,64,28,28,28,112,56,56,56,56,
7,28,21,21,42,7,28,56,8,21,7,7,7,7,8,8,8,7,7,1],[1,16,15,60,60,20,20,15,45,60,
45,60,45,90,60,45,90,90,90,180,36,20,80,20,60,20,80,60,20,60,60,60,60,15,15,
45,45,60,30,90,60,90,90,45,45,45,45,45,90,90,90,90,90,90,90,10,36,36,36,15,15,
60,80,60,20,60,60,60,60,60,60,60,120,15,45,15,45,45,45,45,90,90,90,90,10,20,
20,10,10,20,20,36,36,36,15,15,30,15,15,15,15,15,30,15,15,15,60,60,45,10,10,10,
10,10,10,10,20,20,20,20,36,15,15,15,15,15,15,30,15,30,15,15,15,6,6,10,10,10,
10,10,10,10,15,15,6,6,6,6,6,6,10,6,6,1,1,1,1,1],[1,36,9,42,108,1,8,16,32,64,2,
6,27,36,18,18,126,18,36,108,54,162,108,108,324,12,9,24,42,48,36,48,24,48,144,
96,72,144,9,6,9,9,18,18,36,108,36,36,108,36,54,162,54,54,54,54,54,108,108,108,
108,108,108,108,108,108,8,16,32,64,64,2,2,4,6,42,6,8,27,36,36,16,16,18,18,18,
54,24,24,24,32,36,36,108,36,144,48,72,72,72,72,144,144,144,1,27,9,9,18,18,18,
18,27,27,27,54,54,54,54,54,54,54,54,54,54,108,108,108,108,8,16,48,48,24,24,96,
96,192,9,6,6,6,6,9,9,36,12,12,12,36,12,18,54,18,18,18,18,18,18,18,24,24,24,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,48,48,72,72,72,72,72,16,9,18,27,27,54,
54,54,54,54,2,8,8,48,16,16,16,24,24,24,24,48,24,24,24,32,48,1,2,2,9,4,4,6,6,6,
6,9,9,9,9,9,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,36,36,36,36,36,36,
36,36,72,16,32,27,2,6,6,8,8,12,12,24,24,24,24,24,24,24,24,24,48,48,48,6,6,6,6,
9,9,9,12,18,18,18,18,18,18,18,18,18,18,16,8,1,2,2,4,4,6,6,6,6,6,6,12,12,24,24,
9,18,8,8,8,1,2,6,6,6,6,6,6,6,6,12,1,8,3,6,1,2,1],[1,33,42,1,8,16,32,64,2,42,
27,36,54,90,36,33,42,48,32,24,48,96,96,192,6,9,6,18,27,27,54,18,54,108,36,36,
8,16,32,64,64,2,2,4,42,8,27,36,16,16,90,54,24,24,24,32,36,96,48,1,9,27,54,18,
54,18,18,16,48,32,32,24,64,96,96,6,9,6,18,6,27,27,12,12,18,54,54,24,24,24,24,
36,36,108,48,48,16,9,6,9,9,18,2,8,16,8,16,16,16,24,24,24,32,96,1,2,2,4,4,6,6,
27,9,54,18,18,54,18,24,16,32,9,6,8,12,24,24,24,24,48,2,9,6,6,6,6,9,9,12,18,16,
8,1,2,2,4,4,6,6,24,6,9,8,1,2,2,4,6,6,6,1,1,6,1,2,1],[1,9,42,1,8,16,32,64,2,6,
27,36,18,18,36,216,9,42,48,24,48,96,9,6,9,9,18,36,36,36,108,108,8,16,32,64,64,
2,2,4,6,8,27,36,16,16,18,72,18,24,24,24,32,36,48,1,9,9,18,18,54,54,16,48,24,
96,9,6,6,9,9,12,12,18,36,24,24,36,36,36,36,48,16,9,27,27,2,8,8,16,16,16,24,24,
24,48,32,1,2,2,4,4,6,6,18,9,9,18,18,18,16,27,6,8,12,24,24,48,6,6,9,9,9,16,8,1,
2,2,4,4,6,6,9,8,1,6,6,1,3,1,1],[1,3,45,135,1,20,40,20,40,15,15,45,135,135,135,
135,36,1,45,45,60,60,60,60,180,180,360,360,45,45,45,135,135,135,135,20,10,20,
40,40,36,108,108,15,15,30,15,15,45,45,30,45,45,45,180,180,36,135,10,20,60,20,
60,30,30,60,60,120,120,108,15,15,15,15,45,45,45,45,45,45,45,45,45,90,90,10,36,
36,36,15,10,15,30,30,60,60,45,45,45,10,10,10,6,6,36,15,15,15,15,15,15,30,10,
10,10,18,18,15,15,6,6,10,1,6,6,3,1,1],[1,15,60,1,20,40,20,40,15,45,60,45,90,
36,15,60,80,20,60,120,60,60,120,15,15,45,90,90,20,10,20,40,40,36,15,15,30,45,
60,15,45,30,60,90,60,36,45,10,80,20,20,20,60,40,40,60,60,36,15,15,15,30,15,30,
15,15,45,30,90,90,10,36,15,10,10,10,15,60,60,15,15,45,10,20,20,6,6,36,15,10,
15,15,30,15,10,10,10,6,6,15,15,6,6,10,1,6,6,1,1,1],[1,45,45,45,1,20,40,20,40,
15,15,135,135,45,135,135,36,15,60,45,120,15,60,180,60,60,120,180,135,45,45,45,
135,135,135,20,10,20,40,40,36,15,15,30,45,45,15,15,30,45,45,45,180,180,36,135,
20,10,60,20,60,60,60,60,60,120,120,108,45,45,15,90,15,15,15,45,45,45,45,45,45,
45,90,10,36,15,10,15,60,30,30,60,45,45,45,10,20,20,6,6,36,15,15,15,15,15,15,
30,10,10,10,18,18,15,15,6,6,10,1,6,6,3,1,1],[1,39,45,135,1,11,22,20,40,5,45,
45,135,45,135,405,6,13,33,45,66,45,50,45,90,60,150,60,135,180,270,360,45,135,
45,45,135,135,135,11,10,20,40,40,6,54,54,5,5,10,45,15,5,45,10,10,45,15,20,45,
135,45,150,135,45,135,45,180,270,270,90,6,6,12,135,11,10,50,50,20,20,45,45,30,
30,40,60,60,60,120,120,120,18,18,54,15,15,45,30,15,15,15,15,45,45,45,45,45,30,
30,135,45,45,45,45,10,6,6,12,18,18,18,18,36,36,5,5,10,5,50,10,10,10,15,45,45,
30,45,15,15,30,20,60,60,90,60,120,54,6,45,45,45,10,10,10,20,20,1,6,6,18,18,18,
18,36,5,5,5,15,15,15,15,15,15,45,15,15,30,15,30,30,30,6,6,6,10,10,10,5,20,20,
3,3,9,18,18,15,15,15,1,1,2,6,6,6,5,5,10,5,9,1,1,3,3,3,3,6,6,5,1,3,3,1,1,1,1],[
1,105,35,140,35,105,315,126,210,105,420,120,315,70,126,35,35,105,70,105,105,
70,126,120,105,105,105,210,70,35,21,42,35,21,30,7,1],[1,36,33,42,108,1,8,16,
32,64,2,42,27,36,54,18,126,90,36,108,270,162,108,108,324,12,33,24,42,48,36,48,
32,24,48,144,96,96,72,192,144,6,9,6,18,27,27,18,54,18,54,108,108,36,36,108,36,
162,162,54,54,54,270,54,108,108,108,108,324,108,108,108,108,108,8,16,32,64,64,
2,2,4,42,42,6,8,27,36,36,16,16,90,90,54,54,24,24,24,32,36,36,108,36,144,96,48,
72,72,72,72,144,144,144,1,27,9,27,54,18,54,18,18,18,18,27,27,81,54,54,54,54,
54,162,162,54,54,54,54,108,108,108,108,108,108,8,16,48,48,32,32,24,24,64,96,
96,96,192,6,9,6,6,6,18,6,27,27,36,12,12,12,36,12,18,54,18,18,54,54,18,54,18,
18,90,24,24,24,24,24,36,108,36,36,36,36,36,108,36,36,36,36,36,36,36,48,48,48,
72,72,72,72,72,16,9,6,9,9,18,18,27,81,27,81,54,54,54,54,54,54,54,2,8,16,8,48,
16,16,16,24,24,24,24,48,24,24,48,24,32,48,96,1,2,2,9,4,4,6,6,6,6,27,27,9,9,9,
18,54,18,18,18,54,18,18,18,18,18,18,18,18,54,18,18,18,54,18,24,36,36,36,36,36,
36,36,36,36,36,72,16,32,32,27,9,27,27,27,27,27,2,6,6,8,8,12,12,24,24,24,48,24,
24,24,24,24,24,24,24,48,48,48,2,9,6,6,6,6,6,6,27,9,27,9,9,9,12,12,18,18,18,18,
18,18,18,18,18,18,18,18,18,16,16,16,8,27,1,2,2,4,4,6,6,6,6,6,6,12,12,24,24,24,
9,6,9,9,9,9,9,9,18,8,8,16,8,1,2,2,2,4,6,6,6,6,6,6,6,6,6,12,9,1,8,1,3,3,6,6,1,
2,2,3,1,1,1,1],[1,49,42,1,112,224,14,70,63,28,126,126,84,49,42,112,112,112,
224,64,8,7,42,14,21,63,126,42,84,168,84,84,112,14,70,63,28,28,56,126,126,56,
112,112,84,112,224,7,21,21,84,42,42,84,42,112,112,112,64,64,128,8,7,42,14,21,
63,28,28,28,42,126,84,112,56,56,56,56,56,56,84,84,168,56,112,7,28,21,21,42,28,
56,112,112,7,7,14,21,21,28,84,42,84,42,42,56,8,64,21,28,28,28,112,56,56,56,56,
7,7,7,7,7,14,28,21,21,14,42,7,28,56,8,8,8,8,8,8,7,7,21,7,7,7,7,8,8,8,7,7,1,
1],[1,48,15,60,180,1,20,40,20,40,15,45,60,135,180,45,90,180,135,270,270,270,
540,36,16,15,60,60,120,60,80,20,60,120,60,240,60,60,60,180,120,120,180,180,
360,360,15,15,135,45,180,90,90,180,90,270,135,135,135,135,135,270,270,270,270,
270,270,270,20,10,20,40,40,36,108,108,15,15,30,60,45,45,60,15,60,45,45,90,30,
60,90,90,180,90,240,60,60,180,180,180,180,180,180,180,360,360,360,36,45,45,45,
135,135,135,135,270,270,270,270,20,10,80,20,80,20,20,20,20,60,60,30,30,40,40,
60,60,60,60,60,60,120,120,120,120,108,36,108,15,45,45,15,15,60,90,30,15,30,15,
60,30,15,45,90,45,45,45,45,45,45,30,90,90,90,90,45,90,90,45,45,90,90,45,90,90,
90,90,180,90,180,10,36,36,36,135,15,10,10,10,15,20,80,60,60,30,30,60,30,30,60,
60,60,120,60,60,60,60,60,60,60,120,120,108,15,15,15,15,45,45,45,45,45,45,45,
45,45,90,90,45,90,90,90,90,90,45,45,45,90,10,10,10,20,20,20,20,6,6,36,36,36,
15,15,15,10,30,15,15,15,30,15,15,15,15,30,30,30,60,30,30,30,60,45,45,45,10,10,
10,10,10,10,10,20,20,20,20,6,6,18,18,18,18,36,15,15,15,15,30,15,15,15,15,15,
30,15,30,6,6,10,10,10,10,10,10,10,18,18,15,15,1,6,6,6,6,6,6,10,1,3,3,6,6,1,3,
1,1,1,1],[1,21,105,105,35,140,35,105,105,105,315,315,315,126,35,210,105,210,
140,420,105,420,120,105,105,105,315,315,315,315,70,126,126,126,35,35,105,70,
105,105,210,105,105,105,105,420,210,120,315,70,140,140,126,126,126,120,35,105,
105,35,105,105,105,105,210,105,105,105,105,105,70,35,70,70,126,120,105,105,
105,21,42,35,35,35,70,21,21,21,42,35,30,21,7,7,1,1],[1,105,1,35,70,140,280,35,
105,315,126,105,210,105,210,420,120,315,35,70,140,280,280,126,35,35,70,35,105,
105,70,70,210,105,105,140,315,126,70,210,105,420,126,120,120,240,105,105,105,
315,210,70,126,35,70,35,35,105,70,70,70,105,105,140,70,21,42,126,120,35,105,
105,105,210,70,35,21,30,21,42,35,7,21,30,7,1,1],[1,63,105,315,1,35,70,140,280,
35,105,315,315,315,945,945,126,21,105,105,210,105,210,105,210,630,420,420,315,
840,1260,630,120,315,315,315,315,945,945,945,35,70,140,280,280,126,378,378,35,
35,70,105,105,35,105,105,70,70,210,105,105,140,315,315,315,630,315,315,315,
315,1260,630,630,630,360,126,945,35,70,210,140,210,105,105,420,420,420,420,
840,840,378,126,378,120,120,240,105,105,105,210,105,105,105,105,105,315,315,
315,315,315,315,315,210,210,630,315,315,315,315,315,70,126,126,126,35,70,35,
35,105,210,70,70,70,105,105,105,210,210,105,105,105,140,420,210,378,120,360,
315,315,315,315,70,140,140,21,42,126,126,126,120,35,35,35,105,105,105,105,105,
105,105,105,105,105,105,210,105,105,210,210,210,70,70,35,70,21,63,63,126,126,
120,105,105,105,105,30,21,42,35,35,35,70,63,7,21,21,21,42,35,30,21,21,7,7,1,3,
1,1],[1,105,210,56,560,70,210,315,420,630,630,1260,336,560,560,840,1680,1680,
960,30,105,210,210,315,315,630,630,630,1260,1260,1260,280,336,70,280,420,560,
840,840,840,1680,336,35,315,315,630,630,630,630,630,280,560,560,1008,960,210,
420,420,420,420,840,840,840,840,840,1680,336,105,210,315,315,630,280,280,280,
280,70,70,210,210,420,840,240,56,168,336,315,280,280,70,105,210,210,210,168,
168,35,120,240,240,56,105,210,35,70,28,56,35,28,30,8,1],[1,28,105,210,420,56,
560,70,210,315,420,630,210,210,630,1260,420,630,630,1260,1260,1260,336,56,560,
560,840,560,560,1680,560,1680,840,1680,1680,960,30,105,210,210,315,315,210,
630,630,630,1260,420,420,1260,420,1260,630,630,630,630,630,630,630,1260,1260,
1260,1260,1260,1260,1260,1260,1260,1260,280,336,1008,1008,70,280,420,560,840,
840,840,560,1680,560,840,840,840,840,1680,1680,1680,1680,1680,1680,960,336,35,
105,315,315,630,630,630,630,630,210,210,315,315,315,630,630,630,630,630,630,
630,630,630,630,630,1260,1260,1260,1260,1260,1260,280,560,560,280,280,560,560,
336,1008,1008,960,70,210,420,420,420,420,210,840,280,840,840,840,840,420,420,
420,420,420,1680,840,840,840,840,840,1680,336,336,336,105,210,315,315,210,630,
315,315,315,315,630,630,630,630,630,630,630,280,280,280,280,280,280,280,280,
560,560,560,560,1008,960,70,70,210,210,420,210,210,210,210,840,420,420,420,
420,420,420,420,420,840,840,240,56,168,336,336,336,105,315,315,315,315,315,
315,280,280,280,280,280,280,280,280,280,280,70,105,210,210,70,210,210,210,210,
210,210,420,168,168,56,168,168,168,336,315,35,280,280,120,240,240,56,105,210,
105,105,210,168,168,35,70,70,120,28,56,56,56,105,35,35,35,28,28,28,56,35,30,
28,8,8,1,1],[1,105,210,1,56,112,560,1120,70,210,315,420,630,630,1260,336,105,
210,560,560,840,1680,1680,1680,3360,960,30,105,210,210,315,315,630,630,630,
1260,1260,1260,56,280,560,1120,1120,336,70,70,140,210,280,315,420,420,560,560,
630,630,840,840,840,840,1120,1260,1680,1680,336,336,672,35,315,315,630,630,
630,630,630,280,560,560,560,560,840,1120,1120,1680,1680,1008,960,960,1920,30,
105,210,210,210,315,315,420,420,420,420,420,630,630,630,840,840,840,840,840,
840,840,840,1260,1260,1260,1680,1680,280,336,336,672,105,210,315,315,630,70,
280,280,280,280,280,420,560,560,560,840,840,840,1120,1680,336,35,70,70,140,
140,210,210,315,315,420,630,630,630,630,630,840,280,560,560,240,56,168,336,
1008,960,315,210,280,280,420,420,420,420,840,840,840,840,840,1680,336,70,105,
105,210,210,210,210,210,315,315,420,630,280,280,280,280,168,168,35,70,70,140,
140,210,210,420,840,120,240,240,240,240,240,56,56,112,168,336,105,210,315,280,
280,35,70,70,105,140,210,210,210,28,56,168,168,35,120,240,240,56,35,105,210,
28,35,70,28,56,30,35,28,8,30,8,1,1],[1,84,105,210,1260,1,56,112,560,1120,70,
210,315,420,630,630,630,630,1260,1260,1890,1890,3780,3780,3780,336,28,105,168,
210,336,420,560,560,840,1680,1680,1680,1680,1680,1680,2520,3360,3360,5040,
5040,5040,10080,960,30,105,210,210,315,315,630,630,630,630,1260,1260,1260,
1260,1260,1260,1890,1890,1890,1890,1890,1890,1890,3780,3780,3780,3780,3780,
3780,3780,3780,3780,3780,56,280,560,1120,1120,336,3024,3024,70,70,140,210,210,
210,280,315,420,420,420,560,560,630,630,630,630,840,840,840,840,1120,1260,
1260,1260,1260,1680,1680,1680,1680,2520,2520,2520,2520,5040,5040,5040,5040,
5040,5040,5040,5040,10080,2880,336,336,672,35,315,315,315,630,630,630,630,630,
630,630,945,945,945,1890,1890,1890,1890,1890,1890,1890,1890,1890,1890,1890,
3780,3780,3780,3780,3780,3780,56,280,560,560,560,560,560,560,560,840,840,840,
840,1120,1120,1680,1680,1680,1680,1680,1680,3360,3360,3360,3360,1008,1008,
3024,960,960,1920,30,105,210,210,210,210,210,315,315,420,420,420,420,420,420,
420,420,420,630,630,630,630,630,630,630,630,630,630,630,840,840,840,840,840,
840,840,840,840,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,
1260,1260,1260,1260,1260,1260,1260,1680,1680,1680,2520,2520,2520,2520,2520,
2520,2520,5040,280,336,336,672,1008,1008,1008,1008,2016,2016,105,210,315,315,
630,630,945,945,945,945,1890,1890,1890,1890,1890,1890,1890,70,280,280,280,280,
280,420,560,560,560,560,560,840,840,840,840,840,840,840,840,840,840,840,1120,
1680,1680,1680,1680,1680,1680,1680,1680,1680,1680,1680,3360,3360,3024,960,
2880,336,35,70,70,105,140,140,210,210,210,210,315,315,315,315,315,420,630,630,
630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,840,
1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,
1260,2520,2520,2520,2520,2520,280,280,280,560,560,560,560,240,56,168,336,336,
1008,1008,1008,1008,2016,960,315,315,945,945,945,945,945,70,210,210,280,280,
280,420,420,420,420,420,420,420,420,420,840,840,840,840,840,840,840,840,840,
840,840,840,840,840,840,840,840,840,1680,1680,1680,1680,336,336,336,70,105,
105,210,210,210,210,210,210,210,315,315,315,315,315,315,420,420,630,630,630,
630,630,630,630,630,630,630,630,630,630,1260,280,280,280,280,280,280,280,280,
560,560,560,560,168,168,168,504,504,504,1008,1008,960,945,35,70,70,140,140,
210,210,210,210,210,210,420,420,420,420,420,420,420,420,420,840,840,840,840,
840,120,240,240,240,240,240,56,56,112,168,336,336,336,105,105,210,315,315,315,
315,315,315,315,315,630,630,280,280,280,280,280,280,280,280,280,280,504,504,
35,70,70,70,105,140,210,210,210,210,210,210,210,210,210,420,420,360,28,56,56,
168,168,168,168,168,168,168,336,336,315,315,35,280,280,120,240,240,56,35,105,
105,105,105,105,210,210,28,84,84,168,168,168,35,70,70,120,28,56,56,56,105,105,
30,84,35,35,35,28,28,28,56,8,35,30,28,24,8,8,1,3,1,1]],
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6,6,6,6,6,6,6,6,6,6,7,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,9,9,9,9,9,10,10,10,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,14,15,15,15,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,20,20,20,21,21,21,24,24,24,24,24,24,24,24,24,24,24,
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,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,27,30,30,30,30,30,30,30,30,30,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,40,42,42,45,48,48,48,48,48,
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,
48,54,54,54,54,54,54,54,56,60,60,60,60,60,60,60,60,60,63,64,64,64,64,64,64,64,
72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,
72,72,72,72,72,72,72,72,72,72,72,90,90,90,96,96,96,96,96,96,96,96,96,96,96,96,
96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,108,108,108,108,
108,108,108,108,108,108,108,108,120,120,120,120,120,120,120,120,126,128,144,
144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,
144,144,144,144,144,168,168,168,168,168,168,180,180,180,180,180,180,180,192,
192,192,192,192,192,192,192,192,192,192,192,192,216,216,216,216,216,216,216,
216,216,216,240,240,288,288,288,288,288,288,288,288,288,288,288,288,288,288,
288,288,288,336,360,360,360,360,360,360,360,360,360,360,360,360,384,384,432,
432,432,504,504,504,540,576,576,576,576,576,576,576,576,720,720,720,720,720,
720,864,864,864,1008,1080,1080,1080,1080,1152,1152,1344,1440,1728,1728,1728,
2160,2160,2160,2160,2520,3456,4032,4320,5040,7560,15120,20160,40320,60480,
120960],
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454,439,454,392,330,329,267,267,257,133,511,650,638,621,620,606,606,562,558,
554,559,461,490,483,478,490,478,417,417,417,417,417,417,417,288,288,288,288,
282,288,291,291,288,288,647,609,568,501,499,604,332,332,641,641,630,622,621,
621,610,606,592,592,592,571,565,554,554,558,554,524,535,534,535,497,478,480,
478,478,450,454,439,446,392,392,392,392,267,267,267,267,267,257,261,257,133,
334,604,604,548,649,607,606,606,559,554,558,559,554,562,562,512,512,512,417,
417,417,417,417,417,417,418,417,417,417,288,288,288,291,291,288,647,609,570,
568,570,570,568,568,568,535,535,533,533,499,501,454,454,454,454,450,439,330,
331,331,330,510,509,332,511,511,411,650,638,621,618,621,620,621,606,606,592,
591,583,592,577,592,592,583,592,554,554,554,554,554,558,554,559,562,554,554,
534,537,535,534,524,534,536,536,536,478,467,478,478,478,490,483,478,461,490,
490,478,486,475,486,490,478,478,478,452,453,446,390,392,392,392,392,390,392,
267,609,604,604,548,509,510,510,509,410,410,638,622,606,606,562,559,512,512,
512,512,417,417,417,418,418,417,417,641,609,610,609,609,610,592,568,570,571,
565,564,535,534,535,535,533,533,535,535,533,535,533,497,454,450,454,442,454,
439,454,439,454,450,454,330,331,332,511,334,604,649,641,642,638,631,630,621,
621,621,621,606,606,606,606,606,592,554,554,562,562,554,554,554,554,554,558,
562,562,554,554,559,554,554,559,558,554,534,490,490,478,483,490,475,478,478,
478,483,490,486,486,490,475,490,389,390,391,392,393,609,609,609,570,568,570,
568,613,647,627,604,604,510,509,509,510,410,511,607,606,512,512,512,512,512,
641,621,621,610,609,610,583,592,592,592,583,592,592,592,592,537,533,535,535,
533,533,534,537,535,535,533,533,534,534,535,536,533,535,452,453,454,455,604,
604,604,642,638,638,622,622,620,618,621,621,622,606,606,606,606,606,606,591,
589,562,554,559,554,554,562,562,562,554,558,554,562,558,490,609,609,609,609,
609,609,610,609,570,570,568,568,628,627,626,574,575,575,509,510,511,512,649,
642,641,630,631,621,621,621,621,621,621,592,583,592,592,592,592,592,583,592,
533,534,535,536,537,632,613,613,612,613,613,647,647,636,627,604,604,604,638,
638,622,606,606,607,606,606,606,606,607,562,563,610,610,609,609,609,609,609,
610,609,609,574,575,649,641,642,642,638,631,622,621,618,621,621,621,621,622,
621,591,592,593,651,647,647,626,628,628,627,627,626,627,604,605,606,607,649,
609,610,632,612,613,647,649,638,638,637,637,638,621,622,651,640,640,626,627,
628,649,641,642,632,651,647,647,647,637,638,650,640,649,649,649,651,651,651,
647,654,649,650,651,652,654,654,658,656,658,658],
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1,9,9,7,10,1,9,1,8,10,1,1,1,1,3,1,1,4,3,1,1,3,1,1,4,1,4,1,1,1,1,4,4,4,4,4,4,1,
4,4,3,1,1,1,1,1,1,1,1,26,26,1,1,11,11,1,6,6,1,1,1,14,6,1,11,1,6,1,6,14,7,12,7,
11,6,6,6,1,7,9,9,12,1,1,7,7,9,9,9,9,1,8,7,8,10,49,1,1,1,1,1,3,3,3,4,3,3,4,1,1,
3,1,3,4,4,4,4,3,4,4,3,4,1,4,4,4,4,15,15,4,83,84,6,85,7,7,9,6,9,83,1,1,84,7,9,
9,6,85,1,7,9,10,87,8,86,26,26,26,1,49,49,1,1,30,92,1,3,11,1,1,6,93,92,14,11,
100,6,6,100,6,6,6,1,6,3,30,1,92,30,30,110,7,35,12,14,110,53,53,53,4,30,30,30,
4,100,11,30,3,14,14,6,6,93,28,100,30,6,6,8,103,12,108,7,7,35,35,108,4,9,1,26,
26,26,135,7,136,6,8,137,3,12,13,13,4,12,13,13,13,13,4,13,13,15,15,13,4,11,84,
11,84,84,1,14,85,83,11,11,11,6,12,83,6,84,84,7,7,84,83,84,11,85,7,85,83,6,84,
85,9,9,84,85,86,87,26,197,49,1,1,11,138,6,138,11,6,92,6,92,28,3,3,28,6,100,28,
30,11,11,30,30,30,30,6,28,92,92,30,30,3,4,30,3,3,4,110,14,100,30,92,100,93,30,
30,30,92,100,106,106,100,93,100,237,108,236,35,235,268,6,84,7,9,83,85,50,402,
403,135,136,26,135,26,136,137,49,51,55,55,54,51,13,54,295,295,11,83,170,297,
91,99,100,100,92,14,301,99,301,97,84,35,83,170,84,110,92,83,179,170,170,12,
110,179,53,84,30,102,103,85,93,335,26,83,338,278,3,138,338,278,92,206,30,12,
98,98,98,13,13,98,93,138,206,30,12,98,98,52,92,206,30,106,98,92,106,100,268,
268,84,268,84,84,11,268,268,83,268,85,402,403,402,402,403,403,135,136,197,141,
138,138,11,138,138,295,92,91,295,92,91,301,295,301,301,100,301,301,295,99,170,
110,179,449,297,538,50,401,541,401,401,402,402,402,403,335,135,136,201,460,
338,98,208,460,207,207,55,201,278,206,464,295,297,170,396,268,396,268,300,268,
396,402,403,513,295,338,338,278,338,338,295,337,421,421,295,204,138,206,341,
301,538,594,545,544,544,402,545,403,547,402,547,335,546,347,460,138,396,497,
538,541,401,402,513,461,460,513,513,580,421,338,594,594,594,544,547,545,513,
515,338,611,594,544,545,614,576,580,639,594,608,513,608,633,594,633,614,648,
629,639,633,648,648,653,655,655,655,657],
[( 2,10)( 3,11),( 1, 7,11)( 2, 6,10)( 3, 5, 9, 4, 8)],
[[[[]]],[[[1,1]]],[[[1,1,2,1],[2,1,3,2,1,1,2,1,1,1]]],[[[1,1,2,1],[3,2,1,1,2,
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1,1,1],[3,2,2,1],[5,1,4,2,5,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,
1]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,-2]],[[2,1,1,1,2,-1]]],[[[1,1,2,1],[2,2,3,
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1,1,1]]],[[[1,1,2,1],[2,2,3,3,1,1,2,-1]],[[1,1,2,1],[1,1,2,-1,3,-1,2,1,3,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,3,2,1,4,1]],[[2,1,1,1],[2,2,1,1,2,
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2,2,3,1]],[[1,1,2,1],[2,2,3,1,1,1,2,-1,3,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1,2,
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1,2,1,3,2]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1]]],[[[1,1,2,1],[3,1,2,1,3,1,1,1,
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-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,4,1,3,2,2,2,1,1]],[[1,1,2,1],[2,
1,1,1],[1,1,2,-1,4,-2,3,-1,4,1,3,1,2,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,
3,1,4,2,3,1,2,1,4,1]],[[1,1,2,-1,1,1,2,-1,1,1,2,2]]],[[[1,1,2,1],[2,1,1,1],[4,
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-1]]],[[[2,2,1,1,2,3,1,1]]],[[[1,1,2,1,1,1,2,-2]]],[[[2,1]]],[[[1,1,2,1],[2,1,
1,1],[1,1,2,-1],[2,1,4,1],[6,1,3,1,4,-1,5,2,6,-1,3,-1,4,-1]],[[1,1,2,1],[2,1,
1,1],[4,1,2,-2,3,-1,2,1,1,1,4,2,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,
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3,-1,5,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,1]],[[2,1,1,1,2,
-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,
1,1,1],[1,1,2,-1],[1,1,2,3],[5,1,3,-1,4,2,3,-1,5,-1]],[[1,1,2,1],[2,1,1,1],[4,
1,2,-2,3,-1,2,1,1,1,4,1,3,1,2,1,3,1]]],[[[1,1,2,1],[2,1,3,2,1,1,2,1,1,1]],[[2,
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1,2,1,3,1],[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],[2,1,1,1],[3,1,4,-4,3,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,2,3,2,2,
1]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,2,-1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,
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1]],[[2,1,1,1],[2,2,1,1,2,1],[3,1,4,1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,
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1],[2,2,3,3,1,1,2,-1]],[[1,1,2,1],[3,2,2,1,1,1,2,2,3,1]],[[1,1,2,1],[2,1,3,2,
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2,1],[2,1,1,1],[2,1,4,-1,3,-2,4,-1,2,-1,4,-1]],[[2,1,1,1],[1,1,2,-1],[2,2],[5,
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2,1],[3,1,1,1,2,-2,3,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1],[4,1,5,1,4,1,5,
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1],[2,1,3,2,2,1,1,1]],[[2,1,1,1],[1,1,2,-1,3,-2,2,-1]]],[[[1,1,2,1],[2,1,1,
1],[3,1,2,1,3,1,4,2,3,1,2,2]],[[2,1,1,1],[2,-2,1,1,2,2]],[[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],[2,1,3,1],[4,1,5,1,3,
2,5,1,4,1]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,2,-1,3,1]],[[1,1,2,1],[2,1,1,1],[
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1]],[[2,1,1,1],[2,2,1,1,2,1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,
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1,2,1],[2,1,1,1],[4,1,3,-1,4,-1,2,-2,3,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,
1,4,1,3,1,2,1,3,1]],[[2,2,1,1,2,-1,1,1,2,-1,1,1]]],[[[1,1,2,1],[2,1,3,2,1,1,2,
1,1,1]],[[1,1,2,-2,1,1,2,2,1,1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,2,1,3,1]]],[[[2,
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1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1]],[[1,1,2,1],[2,1,
1,1],[2,1,3,2,2,1,4,1,3,1,4,-1]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,-2]]],[[[1,1,
2,1],[2,1,1,1],[2,1,3,1],[4,1,5,1,3,2,5,1,4,1]],[[2,1,1,1],[2,-2,1,1,2,2]],[[
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1,1,2,1],[4,1,3,1,4,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,1]],[[
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2,1],[2,1,1,1],[2,1,3,2,4,-2,2,-1]],[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,
1]],[[1,1,2,-3,1,1,2,3,1,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,3,1,5,1,4,
1,3,1,5,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,2,2,3,1,4,1]]],[[[2,1,1,1],[3,
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1,2,-2,4,-1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,2,-1]],[[1,1,2,1],[1,
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-2,1,1,2,2,1,1]],[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,-1]]],[[[1,1,2,1],[1,1,2,
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2,2,3,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1,2,-1,3,1,1,1,3,-1]],[[1,1,2,1],[2,1,1,
1],[3,1,1,1,4,2,2,-2,3,-1]]],[[[2,1,1,1],[1,1,2,-2,3,-1,1,1,2,2,3,1]],[[1,1,2,
1],[3,1,1,1,2,-2,3,-1,2,2,1,1]]],[[[1,1,2,1],[1,1,2,-2,3,-1,2,2,1,1,3,1]],[[1,
1,2,1],[3,1,1,1,2,-2,3,-1,2,2,1,1]],[[1,1,2,1],[1,1,2,-1,3,2,1,1,2,-1]]],[[[1,
1,2,1],[2,2,3,3,1,1,2,-1]],[[1,1,2,1],[2,1,1,1,2,-1,3,1,1,1,3,-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,-1,1,1,2,-1,3,-2,2,
-1]],[[1,1,2,1],[2,1,1,1,2,-1,3,1,1,1,3,-1]]],[[[1,1,2,1],[3,1,1,1,2,-2,3,-1,
2,2,1,1]],[[1,1,2,1],[1,1,2,-2],[4,1,3,-1,4,1,3,1]]],[[[1,1,2,1],[2,2,1,1,3,
-1,1,1,2,-2,3,1]],[[1,1,2,1],[2,1,1,1,2,-1,3,1,1,1,3,-1]],[[1,1,2,1],[3,1,2,1,
3,1,1,1,2,-1,3,-2]]],[[[1,1,2,1],[2,2,1,1,3,-1,1,1,2,-2,3,1]],[[1,1,2,1],[3,2,
2,1,1,1,2,-2,3,-1]],[[1,1,2,1],[2,1,1,1,2,-1,3,1,1,1,3,-1]]],[[[1,1,2,1],[1,1,
2,-2,3,-1,2,2,1,1,3,1]],[[1,1,2,1],[3,1,1,1,2,-2,3,-1,2,2,1,1]],[[1,1,2,-1,1,
1,2,1,1,1]]],[[[1,1,2,1],[1,1,2,-2,3,-1,2,2,1,1,3,1]],[[1,1,2,1],[3,1,1,1,2,
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-1,3,2,2,1]],[[1,1,2,1],[3,1,1,1,2,-2,3,-1,2,2,1,1]],[[1,1,2,1],[1,1,2,-1,3,2,
1,1,2,-1]]],[[[1,1,2,1],[2,1,3,3,2,1,1,1,2,-1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,2,
1,3,1]]],[[[2,1,1,1],[1,1,2,-2,3,-1,1,1,2,2,3,1]],[[1,1,2,1,1,1,2,-1]]],[[[1,
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1,2,-1,3,-1,2,1,3,1]],[[2,2,1,1,2,-1,1,1,2,-1,1,1]],[[2,1,1,1],[3,2,2,-2,1,
1]]],[[[1,1,2,1],[1,1,2,-2],[4,1,3,-1,4,1,3,1]],[[1,1,2,1],[2,1,1,1,2,-1,3,1,
1,1,3,-1]]],[[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1]],[[1,1,2,1],[2,2],[3,1,4,1,3,
1,4,1]]],[[[1,1,2,1],[3,2,2,2,3,1]],[[2,1,1,1],[2,1,3,-1,2,-1,1,1,3,1]]],[[[1,
1,2,1],[3,1,2,1,3,2,1,1,2,1,1,1]],[[1,1,2,5,1,1]]],[[[1,1,2,1],[1,1,2,-2,1,1,
2,-1,3,2,2,1]],[[1,1,2,1],[3,1,1,1,2,-2,3,-1,2,2,1,1]],[[2,1,1,1],[2,1,3,-1,2,
-1,1,1,3,1]]],[[[1,1,2,1],[1,1,2,-2,3,-1,2,2,1,1,3,1]],[[2,1,1,1],[1,1,2,1,3,
-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],[1,1,2,
-2,1,1,2,-1,3,2,2,1]],[[1,1,2,-1,1,1,2,-1,1,1,2,2]],[[2,1,1,1,2,-1,1,1,2,-1,1,
1,2,1]]],[[[1,1,2,1],[2,1,1,1,2,-1],[3,1,4,1,3,-1,4,1]],[[1,1,2,1],[3,1,2,1,3,
1,2,2,1,1]]],[[[1,1,2,1],[1,1,2,-1],[4,1,3,-1,2,-1,3,-1,1,1,2,-1,4,1,3,1,2,
2]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,2,-1]]],[[[1,1,2,1],[2,1,3,2,1,1,2,
-3]],[[1,1,2,1],[1,1,2,-1,1,1,2,-1,3,2]],[[2,1,1,1],[3,1,1,1,2,1,3,-1,2,
-1]]],[[[2,3,1,1,2,-1,1,1,2,1]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,3,2,2,1]],[[1,1,
2,1],[2,2],[3,1,4,1,3,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,4,1,2,1,
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1,1,1],[1,1,2,-1],[2,1,4,1],[6,1,3,1,4,-1,5,2,6,-1,3,-1,4,-1]]],[[[2,1,1,1],[
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1],[2,2],[3,1,4,1,3,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,3,1,2,1,3,1,2,
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1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,2,-1]],[[1,1,2,1],[2,2,1,1,3,-1,1,1,2,
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1],[2,1,1,1],[2,2],[4,1,3,-1,5,-1,4,-1,5,-1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[4,
2,2,-1,3,-2,4,-1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[4,1,3,-1,5,-1,4,-1,5,
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1,1,2,2,3,1]],[[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,-1,2,-1,3,1,2,1,4,-1]],[[2,1,1,1],[2,1,3,1],[4,1,3,2,4,1,1,1,2,
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1,1],[4,1,2,1,3,2,4,1,2,2,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[5,1,3,1,4,2,3,
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1,3,2]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,-2]]],[[[1,1,2,1],[2,1,3,2,1,1,2,
-3]],[[1,1,2,-1,1,1,2,-1,1,1,2,2]]],[[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1]],[[2,
1,1,1],[1,1,2,1,3,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1,2,-1,3,1,1,1,3,-1]]],[[[1,1,
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-2]]],[[[1,1,2,1],[2,2,3,1,1,1,2,-1,3,-1,2,-1]],[[1,1,2,-1,1,1,2,-1,1,1,2,
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2,1],[3,1,4,1,3,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,3,1,5,1,4,1,3,1,
5,-1]],[[2,1,1,1],[2,2,1,1,2,1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,
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1],[2,1,1,1],[3,1,2,1,3,1,4,2,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,1,2,
-1,3,-2,4,-1]],[[1,1,2,1],[1,1,2,-1,3,2,1,1,2,-1]],[[2,1,1,1],[2,2,1,1,2,1],[
4,1,3,1,4,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,2,2,1,4,-1]],[[1,1,2,1],[
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1,1,1,3,1,2,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,1,3,1,2,2,4,1]],[[
2,1,1,1],[2,2,1,1,2,1],[4,1,3,1,4,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,
1],[4,1,5,1,4,1,5,1]],[[2,2,1,1,2,-1,1,1,2,-1,1,1]],[[2,1,1,1],[2,2,1,1,2,1],[
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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,
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1],[2,1,3,1],[4,1,3,1,4,1,1,1,2,-1]],[[2,2,1,1]],[[2,1,1,1],[3,1,2,1,3,-1,1,1,
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1],[2,1,1,1],[3,1,2,1,3,1,4,2,3,2,2,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,
2,3,1,2,2]],[[1,1,2,1],[1,1,3,-2,2,2,1,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,
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3,-1,2,2,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,2,-1]]],[[[1,1,2,1],[2,1,1,
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1,3,1,2,2]],[[1,1,2,1],[2,1,1,1,2,-1,3,1,1,1,3,-1]]],[[[1,1,2,1],[1,1,2,-2],[
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1]],[[1,1,2,1],[2,2],[3,1,4,1,3,1,4,1]],[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,
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2]]],[[[1,1,2,-2],[3,1,1,1,2,-1,3,1,1,1,2,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,3,2,
2,1]],[[2,1,1,1],[2,1,3,1],[1,1,2,1,4,-1,3,-1,4,-1]]],[[[2,2],[3,1,1,1,2,1,1,
1,2,-1,3,-1]],[[1,1,2,-1,1,1,2,3]]],[[[1,1,2,1],[2,2,1,1,3,-1,1,1,2,-2,3,
1]],[[1,1,2,1],[2,1,1,1,2,-1,3,1,1,1,3,-1]],[[1,1,2,-2,1,1,2,2,1,1]],[[1,1,2,
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1],[2,1,3,1],[3,1,4,2,3,1]],[[1,1,2,1],[2,1,1,1,2,-1,3,1,1,1,3,-1]]],[[[1,1,2,
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1,1],[3,1,2,1,3,1,4,2,3,2,2,1]],[[1,1,2,-2,1,1,2,2]],[[2,-1,1,1,2,1]]],[[[1,1,
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2,1,3,1,1,1,2,-1]]],[[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1]],[[1,1,2,-2,1,1,2,
3]],[[1,1,2,1],[2,1,1,1,2,-1,3,1,1,1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,
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27,28,57,58,59,61,63,65,66,67,68,69,72,85,173,176,178,179,180,182,185,341],[1,
2,3,4,5,6,12,13,14,15,17,18,19,21,22,23,31,32,33,34,57,58,59,62,67,70,73,74,
75,78,79,82,91,92,173,181,183,192,201,203,204,342],[1,2,3,4,5,6,12,14,15,16,
18,19,21,22,24,26,27,29,32,34,57,58,60,61,62,65,69,71,74,75,78,79,80,93,174,
175,177,182,193,202,203,343],[1,2,3,5,12,13,16,17,18,20,22,23,26,29,30,58,59,
60,64,67,76,77,80,81,83,84,90,173,174,184,189,194,195,196,344],[1,2,3,4,5,6,
13,14,16,18,20,21,23,24,25,27,29,30,31,32,33,34,59,60,61,64,66,68,70,71,72,73,
74,76,77,81,84,86,87,88,89,92,93,94,95,176,177,181,186,195,197,199,208,209,
210,211,345],[1,2,3,5,6,12,16,18,19,21,22,25,26,28,29,31,33,58,60,62,63,66,73,
80,82,91,94,95,96,174,179,197,198,201,205,206,346],[1,2,3,4,5,6,13,14,15,18,
21,22,23,26,28,29,30,31,32,33,34,59,63,65,69,70,73,74,76,78,80,83,90,92,96,
180,181,189,190,198,200,202,347],[1,2,3,5,13,15,16,18,19,20,23,28,29,30,59,60,
63,64,65,76,77,79,81,82,84,175,180,183,187,191,195,205,348],[1,2,3,5,6,15,16,
17,18,19,21,22,23,25,29,30,31,33,60,65,66,67,73,77,78,79,83,90,91,94,95,175,
185,192,194,197,200,207,349],[1,2,3,4,5,6,14,15,17,18,19,20,21,22,23,25,26,29,
30,32,34,65,66,67,69,74,75,78,80,81,82,84,87,89,90,91,185,187,196,199,202,204,
206,350],[1,2,3,4,5,6,12,14,15,18,19,20,21,22,25,28,30,32,34,57,58,62,63,66,
74,75,78,79,83,84,87,89,179,184,190,191,199,203,207,351],[1,2,3,4,5,6,14,15,
17,18,19,20,21,22,23,24,26,27,28,29,30,31,33,61,63,67,69,73,75,78,79,80,81,84,
85,86,88,90,91,96,178,186,191,192,193,196,198,352],[1,2,3,4,5,6,14,16,17,18,
19,21,22,23,24,27,28,29,30,32,34,60,61,63,67,71,74,75,77,82,83,85,90,91,93,
177,178,188,190,194,204,205,353],[1,2,3,4,5,13,14,15,18,19,22,23,24,25,26,27,
29,30,59,61,66,68,69,72,75,76,79,80,82,83,90,176,183,188,189,193,206,207,
354],[1,2,3,4,5,6,12,14,15,18,19,20,21,22,24,27,30,31,33,57,58,61,62,65,69,73,
82,83,84,86,88,91,182,184,186,187,188,200,201,355],[1,2,7,8,10,12,37,98,107,
108,111,356],[1,3,8,9,13,38,97,109,110,112,357],[1,3,8,9,20,39,42,97,212,
358],[1,2,8,9,12,37,44,97,108,119,214,359],[1,3,7,8,10,13,38,45,50,98,109,118,
121,216,360],[1,3,7,8,10,13,45,98,110,118,122,361],[1,2,7,9,11,12,44,99,107,
119,123,362],[1,3,8,9,30,39,42,97,212,363],[1,2,5,8,9,22,37,44,47,52,97,147,
156,214,215,364],[1,2,3,5,8,9,18,37,39,42,44,47,52,97,139,161,212,214,215,
365],[1,3,8,10,11,13,38,101,109,122,136,366],[1,3,8,10,11,13,50,101,110,121,
136,367],[1,3,7,9,11,13,45,99,112,118,136,368],[1,2,9,10,11,12,44,100,111,119,
123,369],[1,2,8,10,11,12,37,101,108,111,123,370],[1,5,6,8,9,31,47,48,52,53,97,
166,215,219,371],[1,3,7,8,10,20,38,45,50,98,117,157,216,372],[1,3,4,7,8,10,27,
36,38,45,50,51,98,135,140,216,220,373],[1,4,5,8,9,24,40,47,51,52,97,154,215,
222,374],[1,3,6,8,9,33,39,42,48,53,97,165,212,219,375],[1,3,6,7,8,10,33,38,43,
45,46,50,54,98,150,159,167,216,217,376],[1,2,8,9,15,37,44,97,115,141,214,
377],[1,3,4,8,9,27,39,40,42,51,97,158,212,222,378],[1,3,7,8,10,25,38,45,50,98,
132,142,216,379],[1,2,6,8,9,21,37,44,48,53,97,133,163,214,219,380],[1,2,4,8,9,
14,37,40,44,51,97,116,144,214,222,381],[1,3,7,9,11,16,45,99,114,134,151,382],[
1,3,7,8,10,16,38,39,45,50,98,113,134,216,221,383],[1,3,4,6,7,8,10,34,36,38,40,
43,45,46,49,50,54,98,148,160,168,213,216,217,384],[1,2,8,9,19,37,44,97,131,
162,214,385],[1,3,9,10,11,13,50,100,112,121,122,136,386],[1,3,4,7,8,10,27,36,
39,40,45,49,51,98,135,158,213,220,221,387],[1,5,8,10,11,17,41,101,120,152,164,
388],[1,3,4,6,7,8,10,34,36,39,43,45,46,51,54,98,155,160,217,220,221,389],[1,3,
6,7,9,11,33,42,43,45,48,53,55,99,159,165,218,223,224,390],[1,2,3,5,12,18,22,
35,58,102,103,104,228,232,234,391],[1,2,6,12,19,21,35,62,104,106,228,230,233,
392],[1,2,5,6,15,21,22,35,78,103,104,106,230,231,234,393],[1,2,3,5,18,30,35,
83,102,103,104,232,235,394],[1,2,3,5,18,28,35,63,102,103,104,232,238,395],[1,
2,4,5,14,19,22,35,75,103,104,105,229,233,234,396],[1,2,4,12,14,15,35,57,104,
105,228,229,231,397],[1,2,3,5,18,25,35,66,102,103,104,232,237,398],[1,2,3,4,5,
6,14,18,21,32,34,35,74,102,103,104,105,106,229,230,232,236,239,399],[1,2,3,5,
18,20,30,35,84,102,103,104,227,232,235,400],[1,2,3,5,15,18,19,35,79,102,103,
104,231,232,233,401],[1,3,4,6,25,30,34,35,89,102,105,106,235,236,237,402],[1,
3,4,6,20,25,34,35,87,102,105,106,227,236,237,403],[1,2,9,44,56,170,240,404],[
1,6,7,43,56,171,241,405],[1,6,9,53,56,171,240,406],[1,2,3,5,7,12,13,17,18,22,
23,45,58,59,67,107,118,173,246,407],[1,2,3,5,8,12,13,17,18,22,23,37,58,59,67,
108,110,173,251,408],[1,2,3,5,8,12,13,17,18,22,23,37,38,41,58,59,67,108,109,
120,124,126,129,173,248,250,263,409],[1,2,3,5,9,12,13,17,18,22,23,44,58,59,67,
112,119,173,258,410],[1,2,3,5,10,12,13,17,18,22,23,58,59,67,111,122,152,173,
411],[1,2,3,5,10,12,13,17,18,22,23,50,58,59,67,111,121,173,257,412],[1,2,3,4,
5,7,12,14,15,18,22,24,27,36,45,57,58,61,65,69,107,135,182,243,246,413],[1,2,3,
5,7,12,18,22,25,28,45,58,63,66,107,132,179,246,414],[1,2,3,4,5,8,13,14,18,23,
24,25,27,37,40,59,61,66,68,72,110,116,176,251,256,415],[1,2,3,5,9,12,16,18,22,
26,29,44,58,60,80,114,119,174,268,416],[1,2,3,5,7,12,16,18,22,26,29,45,58,60,
80,107,134,174,246,417],[1,2,3,5,8,13,15,18,19,23,37,38,41,59,79,82,109,115,
124,126,128,183,250,274,276,418],[1,2,3,5,8,12,18,20,22,30,37,38,41,58,83,84,
108,117,126,127,129,184,248,269,278,419],[1,2,3,4,5,6,8,13,14,18,21,23,31,32,
33,34,37,38,40,41,46,59,70,73,74,92,109,116,124,126,130,146,148,149,150,181,
250,253,260,281,290,420],[1,2,3,5,8,12,16,18,22,26,29,37,38,39,41,47,58,60,80,
108,113,125,126,129,137,138,139,147,174,248,259,271,277,314,421],[1,2,3,5,8,
13,15,18,23,28,37,59,63,65,110,115,180,251,422],[1,2,3,5,11,12,13,17,18,22,23,
58,59,67,123,136,164,173,423],[1,2,3,5,11,12,16,18,22,26,29,58,60,80,123,151,
169,174,424],[1,2,3,5,8,15,17,18,22,23,25,37,38,41,65,66,67,120,124,126,129,
141,142,185,263,264,270,425],[1,2,3,4,5,6,8,14,18,20,21,24,27,30,31,33,37,38,
41,46,51,61,73,84,86,88,117,126,127,130,140,143,144,149,150,186,275,278,281,
287,289,426],[1,2,3,4,5,6,8,14,18,21,28,30,32,34,37,38,40,41,46,63,74,83,116,
126,127,130,145,146,148,190,260,269,272,427],[1,2,3,5,6,7,12,18,19,21,22,31,
33,43,45,58,62,73,82,91,107,159,201,246,247,428],[1,2,3,5,6,8,15,18,21,30,31,
33,37,38,41,46,65,73,83,126,127,130,141,149,150,200,264,269,281,429],[1,2,3,5,
6,8,16,18,21,25,29,31,33,37,38,39,41,46,47,60,66,73,94,95,113,125,126,130,138,
139,142,149,150,197,270,277,281,294,309,430],[1,2,3,5,8,13,16,18,20,23,29,30,
37,39,47,59,60,64,76,77,81,84,110,139,195,244,251,267,431],[1,2,3,5,8,13,15,
18,23,28,37,38,41,59,63,65,109,124,126,141,145,180,250,264,272,432],[1,2,3,5,
8,13,15,18,19,23,37,59,79,82,110,141,183,251,433],[1,2,3,5,8,17,18,20,22,23,
26,29,30,37,38,41,47,67,80,81,84,90,117,120,124,125,126,127,129,137,147,196,
263,266,271,278,297,434],[1,2,3,4,5,8,14,18,19,24,27,30,37,38,41,51,61,82,83,
126,127,128,140,143,144,188,269,275,276,435],[1,2,3,4,5,6,7,12,14,15,18,19,21,
22,32,34,36,43,45,57,58,62,74,75,78,79,107,160,203,243,246,247,436],[1,2,3,4,
5,6,8,13,14,18,21,23,31,32,33,34,37,51,59,70,73,74,92,110,144,181,251,310,
437],[1,2,3,4,5,6,8,14,17,18,19,21,22,23,32,34,37,38,40,41,46,67,74,75,82,91,
116,120,124,126,128,129,130,146,148,204,260,262,263,276,315,438],[1,2,3,5,8,
15,18,19,20,28,30,37,38,41,63,79,84,115,117,126,127,128,145,191,272,274,278,
439],[1,2,3,4,5,6,9,14,16,18,21,24,27,29,32,34,44,53,60,61,71,74,93,114,163,
177,268,300,440],[1,2,3,4,5,8,14,15,18,19,22,24,26,27,29,37,38,41,47,51,61,69,
75,79,80,115,125,126,128,137,140,143,144,147,193,271,274,275,292,298,441],[1,
2,3,5,8,15,18,19,20,30,37,38,41,65,82,84,117,126,127,128,141,187,264,276,278,
442],[1,2,3,5,8,13,18,22,23,26,29,30,37,47,59,76,80,83,90,110,147,189,251,267,
443],[1,2,3,4,5,6,8,14,16,18,21,24,27,29,32,34,37,38,39,40,41,46,47,51,60,61,
71,74,93,113,116,125,126,130,138,139,140,143,144,146,148,153,154,155,158,177,
260,275,277,291,303,307,308,324,444],[1,2,3,5,8,13,16,18,20,23,29,30,37,38,39,
41,47,59,60,64,76,77,81,84,109,113,117,124,125,126,127,138,139,195,245,250,
265,266,273,277,278,445],[1,2,3,5,9,16,18,19,28,29,44,60,63,82,114,131,205,
268,446],[1,2,3,5,8,12,18,22,25,28,37,38,41,58,63,66,108,126,129,142,145,179,
248,270,272,447],[1,2,3,5,6,9,16,18,21,25,29,31,33,44,48,60,66,73,94,95,114,
133,197,268,296,448],[1,2,3,5,9,16,17,18,22,23,29,30,44,52,60,67,77,83,90,114,
156,194,268,280,449],[1,2,3,5,7,12,18,20,22,30,45,58,83,84,107,157,184,246,
450],[1,2,3,4,5,6,8,14,18,20,21,25,30,32,34,37,38,40,41,46,66,74,84,87,89,116,
117,126,127,130,142,146,148,199,260,270,278,302,313,451],[1,2,3,5,8,15,18,19,
25,30,37,38,41,66,79,83,115,126,127,128,142,207,269,270,274,452],[1,2,3,4,5,8,
12,14,15,18,22,24,27,37,38,41,51,57,58,61,65,69,108,126,129,140,141,143,144,
182,248,264,275,301,305,453],[1,2,3,5,8,15,16,18,19,29,37,38,39,41,47,60,65,
79,113,115,125,126,128,138,139,141,175,264,274,277,288,304,454],[1,2,3,5,8,18,
19,22,25,26,29,37,38,41,47,66,80,82,125,126,128,137,142,147,206,270,271,276,
455],[1,2,3,4,5,8,13,14,18,23,24,25,27,37,38,41,51,59,61,66,68,72,109,124,126,
140,142,143,144,176,250,270,275,306,311,456],[1,2,3,5,6,8,12,18,19,21,22,31,
33,37,38,41,46,58,62,73,82,91,108,126,128,129,130,149,150,201,248,261,276,281,
315,457],[1,2,3,4,5,8,14,17,18,22,23,24,27,28,37,38,41,51,61,63,67,85,120,124,
126,129,140,143,144,145,178,263,272,275,323,458],[1,2,3,5,6,8,15,17,18,19,21,
22,23,31,33,37,38,41,46,67,73,78,79,91,115,120,124,126,128,129,130,149,150,
192,263,274,279,281,315,459],[1,2,3,5,9,13,16,18,20,23,29,30,42,44,52,59,60,
64,76,77,81,84,114,161,195,252,268,280,460],[1,2,3,5,8,13,18,22,23,26,29,30,
37,38,41,47,59,76,80,83,90,109,124,125,126,127,137,147,189,250,265,269,271,
297,461],[1,2,3,4,5,6,8,14,15,18,21,22,26,29,32,34,37,38,40,41,46,47,65,69,74,
78,80,116,125,126,130,137,141,146,147,148,202,260,264,271,299,312,462],[1,2,3,
5,6,8,18,21,22,26,28,29,31,33,37,38,41,46,47,63,73,80,96,125,126,130,137,145,
147,149,150,198,271,272,281,320,463],[1,2,3,5,8,16,18,19,28,29,37,38,39,41,47,
60,63,82,113,125,126,128,138,139,145,205,272,276,277,464],[1,2,3,5,9,15,16,18,
19,29,44,60,65,79,114,162,175,268,465],[1,2,3,4,5,6,8,12,14,15,18,19,21,22,32,
34,37,38,40,41,46,57,58,62,74,75,78,79,108,115,116,126,128,129,130,146,148,
203,248,249,260,261,262,274,279,466],[1,2,3,5,8,16,17,18,22,23,29,30,37,38,39,
41,47,60,67,77,83,90,113,120,124,125,126,127,129,138,139,194,263,269,273,277,
297,467],[1,2,3,5,9,13,18,22,23,26,29,30,44,52,59,76,80,83,90,112,156,189,258,
295,468],[1,2,3,4,5,8,14,15,18,19,22,24,26,27,29,37,39,40,41,47,51,61,69,75,
79,80,116,128,129,137,138,139,141,144,147,154,158,193,262,288,298,303,305,312,
314,469],[1,2,3,5,9,13,16,18,20,23,29,30,42,44,52,59,60,64,76,77,81,84,112,
161,195,255,258,295,470],[1,3,4,5,6,8,20,23,24,25,27,29,31,32,33,34,38,40,41,
46,47,51,72,81,87,88,92,93,95,117,124,125,140,142,146,148,149,150,153,154,210,
266,289,290,302,306,308,309,471],[1,2,3,4,5,6,8,14,15,18,21,22,26,29,32,34,37,
39,41,46,47,51,65,69,74,78,80,115,129,130,137,138,139,141,144,147,153,155,202,
279,291,292,299,304,305,314,472],[1,3,4,5,6,9,16,23,25,27,30,31,32,33,34,48,
52,53,71,72,77,86,89,92,94,114,166,209,280,296,300,473],[1,3,4,5,6,8,13,24,25,
27,29,30,32,33,34,40,47,51,68,70,76,86,89,93,95,110,154,208,256,267,310,474],[
1,3,4,5,6,8,13,24,25,27,29,30,32,33,34,38,40,46,47,51,68,70,76,86,89,93,95,
109,125,127,140,142,148,150,153,154,208,253,265,287,308,309,311,313,475],[1,3,
4,5,6,8,16,23,25,27,30,31,32,33,34,38,39,40,41,46,51,71,72,77,86,89,92,94,113,
124,127,140,142,146,148,149,150,155,158,209,273,287,290,294,306,307,313,476],[
1,2,3,5,6,10,12,18,19,21,22,31,33,50,54,58,62,73,82,91,111,167,201,257,293,
477],[1,3,4,6,9,13,16,20,25,27,33,34,42,48,53,64,68,70,71,87,88,94,114,165,
211,252,296,300,478],[1,2,3,4,5,6,10,12,14,15,18,19,21,22,32,34,49,50,54,57,
58,62,74,75,78,79,111,168,203,254,257,293,479],[1,2,3,4,5,6,8,12,14,15,18,19,
21,22,32,34,37,39,46,47,51,57,58,62,74,75,78,79,108,128,130,139,141,144,147,
153,155,203,259,261,288,291,298,299,301,480],[1,2,3,4,5,8,12,14,15,18,22,24,
27,37,39,40,47,51,57,58,61,65,69,108,115,116,139,141,144,147,154,158,182,249,
259,292,301,303,304,312,481],[1,3,4,6,8,13,16,20,25,27,33,34,39,40,51,64,68,
70,71,87,88,94,110,158,211,244,256,310,482],[1,3,4,6,8,13,16,20,25,27,33,34,
38,39,40,46,51,64,68,70,71,87,88,94,109,113,117,140,142,148,150,155,158,211,
245,253,289,294,302,307,311,483],[1,3,4,6,7,13,16,20,25,27,33,34,36,43,45,64,
68,70,71,87,88,94,118,132,134,135,157,159,160,211,282,283,284,321,327,330,331,
484],[1,2,3,5,6,9,12,18,19,21,22,31,33,42,44,48,52,53,58,62,73,82,91,119,131,
133,156,161,162,163,165,166,201,285,286,322,325,326,328,329,485],[1,3,7,8,9,
10,11,39,42,45,97,98,99,100,101,212,221,223,334,486],[1,6,7,8,9,10,11,43,48,
53,55,97,98,99,100,101,218,219,224,225,334,487],[1,4,7,8,9,10,11,36,40,49,51,
97,98,99,100,101,213,220,222,226,334,488],[1,2,6,12,19,21,56,62,170,171,335,
336,337,489],[1,3,8,13,35,39,102,110,490],[1,3,9,16,35,42,102,114,491],[1,2,7,
12,35,104,107,172,228,492],[1,3,7,25,35,45,102,132,172,237,338,493],[1,3,7,20,
35,45,102,157,172,227,338,494],[1,3,4,6,7,34,35,36,43,45,102,105,106,160,172,
236,338,339,340,495],[1,7,9,11,56,99,240,241,242,496],[1,2,3,4,5,6,12,13,14,
15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,57,58,59,60,61,62,
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,
89,90,91,92,93,94,95,96,173,174,175,176,177,178,179,180,181,182,183,184,185,
186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,
205,206,207,208,209,210,211,341,342,343,344,345,346,347,348,349,350,351,352,
353,354,355,497],[1,2,4,7,8,10,12,14,15,36,37,40,49,57,98,107,108,111,115,116,
213,243,249,254,356,498],[1,3,8,9,13,16,20,38,39,42,64,97,109,110,112,113,117,
212,244,245,255,357,499],[1,2,3,5,8,9,12,18,22,37,39,42,44,47,52,58,97,108,
119,139,147,156,161,212,214,215,259,286,359,364,365,500],[1,2,3,5,7,8,10,12,
18,22,37,38,41,45,50,58,98,107,108,111,126,129,216,246,248,257,356,501],[1,2,
3,5,8,9,13,18,23,37,38,41,44,59,97,109,110,112,124,126,214,250,251,258,357,
502],[1,3,5,8,9,13,29,30,38,47,52,76,97,109,110,112,125,127,215,265,267,295,
357,503],[1,2,6,7,8,10,12,19,21,37,43,46,54,62,98,107,108,111,128,130,217,247,
261,293,356,504],[1,3,4,7,8,10,13,25,27,36,40,45,49,68,98,110,118,122,132,135,
213,256,284,316,361,505],[1,2,6,7,9,11,12,19,21,43,44,48,55,62,99,107,119,123,
131,133,218,247,285,318,362,506],[1,3,4,6,7,8,10,13,33,34,36,38,40,43,45,46,
49,50,54,70,98,109,118,121,148,150,159,160,167,168,213,216,217,253,282,319,
360,376,384,507],[1,2,3,5,8,9,15,18,37,39,42,44,47,52,65,97,115,139,141,161,
212,214,215,304,365,377,508],[1,2,3,5,8,9,18,19,37,39,42,44,47,52,82,97,131,
139,161,162,212,214,215,328,365,385,509],[1,2,3,5,6,8,9,18,21,31,33,37,39,42,
44,47,48,52,53,73,97,133,139,161,163,165,166,212,214,215,219,329,365,371,375,
380,510],[1,2,3,4,5,8,9,14,18,24,27,37,39,40,42,44,47,51,52,61,97,116,139,144,
154,158,161,212,214,215,222,303,365,374,378,381,511],[1,2,3,5,7,8,10,12,18,22,
37,39,45,47,58,98,107,108,111,139,147,221,246,259,356,512],[1,2,3,5,8,9,18,30,
37,39,42,44,47,52,83,97,139,161,212,214,215,363,365,513],[1,2,3,5,8,9,18,20,
30,37,39,42,44,47,52,84,97,139,161,212,214,215,358,363,365,514],[1,3,4,8,9,13,
25,27,38,40,51,68,97,109,110,112,140,142,222,256,311,357,515],[1,2,4,7,8,10,
12,14,15,36,37,51,57,98,107,108,111,141,144,220,243,301,356,516],[1,3,4,6,8,9,
13,33,34,38,40,46,51,70,97,109,110,112,148,150,222,253,310,357,517],[1,3,7,8,
10,13,16,20,39,45,64,98,110,118,122,134,157,221,244,327,361,518],[1,2,6,7,9,
11,12,19,21,43,44,53,62,99,107,119,123,162,163,224,247,326,362,519],[1,3,4,6,
8,9,20,27,33,39,40,42,48,51,53,88,97,158,165,212,219,222,358,375,378,520],[1,
3,6,7,8,10,16,25,33,38,39,43,45,46,50,54,94,98,113,132,134,142,150,159,167,
216,217,221,294,321,376,379,383,521],[1,3,6,7,9,11,16,25,33,43,45,48,55,94,99,
114,132,134,151,159,218,296,321,333,382,522],[1,3,7,9,11,13,16,20,42,45,64,99,
114,118,134,151,157,223,252,327,382,523],[1,3,4,6,7,9,11,16,27,34,36,43,45,53,
71,99,114,134,135,151,160,224,283,300,382,524],[1,3,4,6,7,8,10,13,33,34,36,43,
45,51,70,98,110,118,122,159,160,220,282,310,361,525],[1,2,4,5,8,9,14,15,22,37,
40,44,47,51,52,69,97,115,116,141,144,147,156,214,215,222,292,312,364,377,381,
526],[1,2,3,5,7,9,11,12,18,22,42,44,45,52,58,99,107,119,123,156,161,223,246,
286,362,527],[1,2,5,6,8,9,19,21,22,37,44,47,48,52,53,91,97,131,133,147,156,
162,163,214,215,219,322,325,364,380,385,528],[1,3,7,8,10,13,16,20,38,39,45,50,
64,98,109,113,117,118,121,134,157,216,221,245,327,360,372,383,529],[1,2,6,8,9,
12,19,21,37,44,48,53,62,97,108,119,131,133,162,163,214,219,285,326,359,380,
385,530],[1,3,4,7,8,10,13,25,27,36,38,45,50,51,68,98,109,118,121,132,135,140,
142,216,220,284,311,360,373,379,531],[1,3,4,6,7,8,10,20,27,33,36,38,43,45,46,
50,51,54,88,98,117,135,140,150,157,159,167,216,217,220,289,331,372,373,376,
532],[1,2,4,8,9,12,14,15,37,40,44,51,57,97,108,115,116,119,141,144,214,222,
249,301,359,377,381,533],[1,3,4,6,7,8,10,20,25,34,36,38,40,43,45,46,49,50,54,
87,98,117,132,142,148,157,160,168,213,216,217,302,330,372,379,384,534],[1,3,4,
6,7,8,10,16,27,34,36,38,39,40,43,45,46,49,50,51,54,71,98,113,134,135,140,148,
155,158,160,168,213,216,217,220,221,283,307,373,383,384,387,389,535],[1,3,4,6,
8,9,27,30,33,39,40,42,48,51,53,86,97,158,165,212,219,222,363,375,378,536],[1,
3,4,8,10,11,13,25,27,38,49,51,68,101,109,122,136,140,142,226,311,316,366,
537],[1,4,5,8,10,11,17,24,28,41,49,51,85,101,120,143,145,152,164,226,317,323,
388,538],[1,2,4,8,10,11,12,14,15,37,49,51,57,101,108,111,123,141,144,226,254,
301,370,539],[1,3,4,6,8,10,11,13,33,34,49,50,51,54,70,101,110,121,136,167,168,
226,310,319,367,540],[1,3,7,9,11,13,16,20,42,45,64,99,112,118,134,136,157,223,
255,327,368,541],[1,2,6,9,10,11,12,19,21,44,53,55,62,100,111,119,123,162,163,
225,318,326,369,542],[1,2,3,5,12,18,20,22,30,35,58,83,84,102,103,104,184,227,
228,232,234,235,391,394,400,543],[1,2,3,5,15,18,19,20,28,30,35,63,79,84,102,
103,104,191,227,231,232,233,235,238,395,400,401,544],[1,2,3,5,12,18,22,25,28,
35,58,63,66,102,103,104,179,228,232,234,237,238,391,395,398,545],[1,2,3,4,5,6,
12,14,15,18,19,21,22,32,34,35,57,58,62,74,75,78,79,102,103,104,105,106,203,
228,229,230,231,232,233,234,236,239,391,392,393,396,397,399,401,546],[1,2,3,5,
15,18,19,25,30,35,66,79,83,102,103,104,207,231,232,233,235,237,394,398,401,
547],[1,2,3,4,5,6,14,18,21,28,30,32,34,35,63,74,83,102,103,104,105,106,190,
229,230,232,235,236,238,239,394,395,399,548],[1,2,3,4,5,6,14,18,20,21,25,30,
32,34,35,66,74,84,87,89,102,103,104,105,106,199,227,229,230,232,235,236,237,
239,398,399,400,402,403,549],[1,2,9,12,44,56,119,170,240,335,404,550],[1,2,7,
12,56,107,170,241,335,551],[1,2,11,12,56,123,170,242,335,552],[1,2,9,19,44,56,
162,170,240,336,404,553],[1,2,6,9,21,44,53,56,163,170,171,240,337,404,406,
554],[1,2,3,4,5,6,7,12,14,15,16,18,19,21,22,24,26,27,29,32,34,36,43,45,57,58,
60,61,62,65,69,71,74,75,78,79,80,93,107,134,135,160,174,175,177,182,193,202,
203,243,246,247,283,343,413,417,436,555],[1,2,3,5,8,12,13,16,17,18,20,22,23,
26,29,30,37,39,47,58,59,60,64,67,76,77,80,81,83,84,90,108,110,139,147,173,174,
184,189,194,195,196,244,251,259,267,344,408,431,443,556],[1,2,3,4,5,7,12,13,
14,15,17,18,22,23,24,25,27,28,36,45,57,58,59,61,63,65,66,67,68,69,72,85,107,
118,132,135,173,176,178,179,180,182,185,243,246,284,341,407,413,414,557],[1,2,
3,4,5,8,12,13,14,15,17,18,22,23,24,25,27,28,37,40,57,58,59,61,63,65,66,67,68,
69,72,85,108,110,115,116,173,176,178,179,180,182,185,249,251,256,341,408,415,
422,558],[1,2,3,5,9,12,13,16,17,18,20,22,23,26,29,30,42,44,52,58,59,60,64,67,
76,77,80,81,83,84,90,114,119,156,161,173,174,184,189,194,195,196,252,268,280,
286,344,416,449,460,559],[1,2,3,5,8,12,13,16,17,18,20,22,23,26,29,30,37,38,39,
41,47,58,59,60,64,67,76,77,80,81,83,84,90,108,109,113,117,120,124,125,126,127,
129,137,138,139,147,173,174,184,189,194,195,196,245,248,250,259,263,265,266,
269,271,273,277,278,297,314,344,409,419,421,434,445,461,467,560],[1,2,3,4,5,6,
8,12,13,14,15,17,18,19,21,22,23,31,32,33,34,37,38,40,41,46,57,58,59,62,67,70,
73,74,75,78,79,82,91,92,108,109,115,116,120,124,126,128,129,130,146,148,149,
150,173,181,183,192,201,203,204,248,249,250,253,260,261,262,263,274,276,279,
281,290,315,342,409,418,420,438,457,459,466,561],[1,2,3,4,5,6,7,12,13,14,15,
17,18,19,21,22,23,31,32,33,34,36,43,45,57,58,59,62,67,70,73,74,75,78,79,82,91,
92,107,118,159,160,173,181,183,192,201,203,204,243,246,247,282,342,407,428,
436,562],[1,2,3,5,9,12,13,16,17,18,20,22,23,26,29,30,42,44,52,58,59,60,64,67,
76,77,80,81,83,84,90,112,119,156,161,173,174,184,189,194,195,196,255,258,286,
295,344,410,468,470,563],[1,2,3,4,5,10,12,13,14,15,17,18,22,23,24,25,27,28,49,
57,58,59,61,63,65,66,67,68,69,72,85,111,122,152,173,176,178,179,180,182,185,
254,316,317,341,411,564],[1,2,3,4,5,6,10,12,13,14,15,17,18,19,21,22,23,31,32,
33,34,49,50,54,57,58,59,62,67,70,73,74,75,78,79,82,91,92,111,121,167,168,173,
181,183,192,201,203,204,254,257,293,319,342,412,477,479,565],[1,2,3,4,5,6,9,
12,14,15,16,18,19,21,22,24,26,27,29,32,34,44,53,57,58,60,61,62,65,69,71,74,75,
78,79,80,93,114,119,162,163,174,175,177,182,193,202,203,268,300,326,343,416,
440,465,566],[1,2,3,4,5,6,8,13,14,16,18,20,21,23,24,25,27,29,30,31,32,33,34,
37,38,39,40,41,46,47,51,59,60,61,64,66,68,70,71,72,73,74,76,77,81,84,86,87,88,
89,92,93,94,95,109,113,116,117,124,125,126,127,130,138,139,140,142,143,144,
146,148,149,150,153,154,155,158,176,177,181,186,195,197,199,208,209,210,211,
245,250,253,260,265,266,270,273,275,277,278,281,287,289,290,291,294,302,303,
306,307,308,309,311,313,324,345,420,426,430,444,445,451,456,471,475,476,483,
567],[1,2,3,5,6,9,12,16,18,19,21,22,25,26,28,29,31,33,44,48,58,60,62,63,66,73,
80,82,91,94,95,96,114,119,131,133,174,179,197,198,201,205,206,268,285,296,346,
416,446,448,568],[1,2,3,4,5,6,8,14,16,17,18,19,21,22,23,24,27,28,29,30,32,34,
37,38,39,40,41,46,47,51,60,61,63,67,71,74,75,77,82,83,85,90,91,93,113,116,120,
124,125,126,127,128,129,130,138,139,140,143,144,145,146,148,153,154,155,158,
177,178,188,190,194,204,205,260,262,263,269,272,273,275,276,277,291,297,303,
307,308,315,323,324,353,427,435,438,444,458,464,467,569],[1,2,3,5,9,13,15,16,
18,19,20,23,28,29,30,42,44,52,59,60,63,64,65,76,77,79,81,82,84,114,131,161,
162,175,180,183,187,191,195,205,252,268,280,328,348,446,460,465,570],[1,2,3,4,
5,6,9,14,16,17,18,19,21,22,23,24,27,28,29,30,32,34,44,52,53,60,61,63,67,71,74,
75,77,82,83,85,90,91,93,114,131,156,163,177,178,188,190,194,204,205,268,280,
300,322,353,440,446,449,571],[1,2,3,4,5,6,8,14,15,17,18,19,20,21,22,23,25,26,
29,30,32,34,37,38,40,41,46,47,65,66,67,69,74,75,78,80,81,82,84,87,89,90,91,
116,117,120,124,125,126,127,128,129,130,137,141,142,146,147,148,185,187,196,
199,202,204,206,260,262,263,264,266,270,271,276,278,297,299,302,312,313,315,
350,425,434,438,442,451,455,462,572],[1,2,3,5,6,9,15,16,17,18,19,21,22,23,25,
29,30,31,33,44,48,52,60,65,66,67,73,77,78,79,83,90,91,94,95,114,133,156,162,
175,185,192,194,197,200,207,268,280,296,325,349,448,449,465,573],[1,2,3,4,5,8,
12,13,14,15,17,18,22,23,24,25,27,28,37,38,41,51,57,58,59,61,63,65,66,67,68,69,
72,85,108,109,120,124,126,129,140,141,142,143,144,145,173,176,178,179,180,182,
185,248,250,263,264,270,272,275,301,305,306,311,323,341,409,425,432,447,453,
456,458,574],[1,2,3,5,6,8,15,16,17,18,19,21,22,23,25,29,30,31,33,37,38,39,41,
46,47,60,65,66,67,73,77,78,79,83,90,91,94,95,113,115,120,124,125,126,127,128,
129,130,138,139,141,142,149,150,175,185,192,194,197,200,207,263,264,269,270,
273,274,277,279,281,288,294,297,304,309,315,349,425,429,430,452,454,459,467,
575],[1,2,3,4,5,6,8,13,14,16,18,20,21,23,24,25,27,29,30,31,32,33,34,37,39,40,
47,51,59,60,61,64,66,68,70,71,72,73,74,76,77,81,84,86,87,88,89,92,93,94,95,
110,116,139,144,154,158,176,177,181,186,195,197,199,208,209,210,211,244,251,
256,267,303,310,345,415,431,437,474,482,576],[1,2,3,5,6,7,12,16,18,19,21,22,
25,26,28,29,31,33,43,45,58,60,62,63,66,73,80,82,91,94,95,96,107,132,134,159,
174,179,197,198,201,205,206,246,247,321,346,414,417,428,577],[1,2,3,4,5,6,8,
12,14,15,18,19,20,21,22,24,27,30,31,33,37,38,41,46,51,57,58,61,62,65,69,73,82,
83,84,86,88,91,108,117,126,127,128,129,130,140,141,143,144,149,150,182,184,
186,187,188,200,201,248,261,264,269,275,276,278,281,287,289,301,305,315,355,
419,426,429,435,442,453,457,578],[1,2,3,4,5,6,8,12,13,14,15,17,18,19,21,22,23,
31,32,33,34,37,51,57,58,59,62,67,70,73,74,75,78,79,82,91,92,108,110,141,144,
173,181,183,192,201,203,204,251,301,310,342,408,433,437,579],[1,2,3,4,5,6,7,
12,14,15,18,19,20,21,22,25,28,30,32,34,36,43,45,57,58,62,63,66,74,75,78,79,83,
84,87,89,107,132,157,160,179,184,190,191,199,203,207,243,246,247,330,351,414,
436,450,580],[1,2,3,5,7,12,13,16,17,18,20,22,23,26,29,30,45,58,59,60,64,67,76,
77,80,81,83,84,90,107,118,134,157,173,174,184,189,194,195,196,246,327,344,407,
417,450,581],[1,2,3,5,8,13,15,16,18,19,20,23,28,29,30,37,39,47,59,60,63,64,65,
76,77,79,81,82,84,110,115,139,141,175,180,183,187,191,195,205,244,251,267,304,
348,422,431,433,582],[1,2,3,4,5,6,9,13,14,16,18,20,21,23,24,25,27,29,30,31,32,
33,34,42,44,48,52,53,59,60,61,64,66,68,70,71,72,73,74,76,77,81,84,86,87,88,89,
92,93,94,95,114,133,161,163,165,166,176,177,181,186,195,197,199,208,209,210,
211,252,268,280,296,300,329,345,440,448,460,473,478,583],[1,2,3,4,5,6,8,12,14,
15,16,18,19,21,22,24,26,27,29,32,34,37,38,39,40,41,46,47,51,57,58,60,61,62,65,
69,71,74,75,78,79,80,93,108,113,115,116,125,126,128,129,130,137,138,139,140,
141,143,144,146,147,148,153,154,155,158,174,175,177,182,193,202,203,248,249,
259,260,261,262,264,271,274,275,277,279,288,291,292,298,299,301,303,304,305,
307,308,312,314,324,343,421,441,444,453,454,462,466,469,472,480,481,584],[1,2,
3,4,5,8,13,14,15,18,19,22,23,24,25,26,27,29,30,37,40,47,59,61,66,68,69,72,75,
76,79,80,82,83,90,110,116,141,147,176,183,188,189,193,206,207,251,256,267,312,
354,415,433,443,585],[1,2,3,4,5,6,8,13,14,15,18,21,22,23,26,28,29,30,31,32,33,
34,37,47,51,59,63,65,69,70,73,74,76,78,80,83,90,92,96,110,115,144,147,180,181,
189,190,198,200,202,251,267,292,310,347,422,437,443,586],[1,2,3,4,5,6,8,13,14,
15,18,21,22,23,26,28,29,30,31,32,33,34,37,38,40,41,46,47,59,63,65,69,70,73,74,
76,78,80,83,90,92,96,109,116,124,125,126,127,130,137,141,145,146,147,148,149,
150,180,181,189,190,198,200,202,250,253,260,264,265,269,271,272,281,290,297,
299,312,320,347,420,427,429,432,461,462,463,587],[1,2,3,4,5,6,7,12,14,15,18,
19,20,21,22,24,27,30,31,33,36,43,45,57,58,61,62,65,69,73,82,83,84,86,88,91,
107,135,157,159,182,184,186,187,188,200,201,243,246,247,331,355,413,428,450,
588],[1,2,3,5,6,8,12,16,18,19,21,22,25,26,28,29,31,33,37,38,39,41,46,47,58,60,
62,63,66,73,80,82,91,94,95,96,108,113,125,126,128,129,130,137,138,139,142,145,
147,149,150,174,179,197,198,201,205,206,248,259,261,270,271,272,276,277,281,
294,309,314,315,320,346,421,430,447,455,457,463,464,589],[1,2,3,5,8,13,15,16,
18,19,20,23,28,29,30,37,38,39,41,47,59,60,63,64,65,76,77,79,81,82,84,109,113,
115,117,124,125,126,127,128,138,139,141,145,175,180,183,187,191,195,205,245,
250,264,265,266,272,273,274,276,277,278,288,304,348,418,432,439,442,445,454,
464,590],[1,2,3,4,5,6,8,14,15,17,18,19,20,21,22,23,24,26,27,28,29,30,31,33,37,
38,41,46,47,51,61,63,67,69,73,75,78,79,80,81,84,85,86,88,90,91,96,115,117,120,
124,125,126,127,128,129,130,137,140,143,144,145,147,149,150,178,186,191,192,
193,196,198,263,266,271,272,274,275,278,279,281,287,289,292,297,298,315,320,
323,352,426,434,439,441,458,459,463,591],[1,2,3,4,5,8,13,14,15,18,19,22,23,24,
25,26,27,29,30,37,38,41,47,51,59,61,66,68,69,72,75,76,79,80,82,83,90,109,115,
124,125,126,127,128,137,140,142,143,144,147,176,183,188,189,193,206,207,250,
265,269,270,271,274,275,276,292,297,298,306,311,354,418,435,441,452,455,456,
461,592],[1,2,3,4,5,6,8,12,14,15,18,19,20,21,22,25,28,30,32,34,37,38,40,41,46,
57,58,62,63,66,74,75,78,79,83,84,87,89,108,115,116,117,126,127,128,129,130,
142,145,146,148,179,184,190,191,199,203,207,248,249,260,261,262,269,270,272,
274,278,279,302,313,351,419,427,439,447,451,452,466,593],[1,2,3,5,6,11,12,16,
18,19,21,22,25,26,28,29,31,33,55,58,60,62,63,66,73,80,82,91,94,95,96,123,151,
169,174,179,197,198,201,205,206,318,332,333,346,424,594],[1,2,7,8,9,10,11,12,
37,44,97,98,99,100,101,107,108,111,119,123,214,334,356,359,362,369,370,595],[
1,3,7,8,9,10,11,13,38,45,50,97,98,99,100,101,109,110,112,118,121,122,136,216,
334,357,360,361,366,367,368,386,596],[1,3,4,7,8,9,10,11,27,36,39,40,42,45,49,
51,97,98,99,100,101,135,158,212,213,220,221,222,223,226,334,378,387,486,488,
597],[1,3,6,7,8,9,10,11,33,39,42,43,45,48,53,55,97,98,99,100,101,159,165,212,
218,219,221,223,224,225,334,375,390,486,487,598],[1,3,7,8,9,10,11,20,39,42,45,
97,98,99,100,101,157,212,221,223,334,358,486,599],[1,3,8,13,16,20,35,38,39,64,
102,110,113,227,244,490,600],[1,3,5,8,13,29,30,35,39,41,47,76,102,110,138,235,
267,490,601],[1,2,3,5,8,13,18,23,35,37,39,47,59,102,103,104,110,139,232,251,
490,602],[1,2,3,5,7,12,18,22,35,45,58,102,103,104,107,172,228,232,234,246,338,
391,492,603],[1,3,4,8,13,25,27,35,39,40,51,68,102,110,158,237,256,490,604],[1,
2,3,5,9,16,18,29,35,42,44,52,60,102,103,104,114,161,232,268,491,605],[1,3,4,6,
8,13,33,34,35,39,46,51,70,102,105,106,110,155,236,310,490,606],[1,2,4,7,12,14,
15,35,36,57,104,105,107,172,228,229,231,243,340,397,492,607],[1,2,6,7,12,19,
21,35,43,62,104,106,107,172,228,230,233,247,339,392,492,608],[1,3,6,9,16,25,
33,35,42,48,53,94,102,114,165,237,296,491,609],[1,3,4,6,7,20,25,34,35,36,43,
45,87,102,105,106,132,157,160,172,227,236,237,330,338,339,340,403,493,494,495,
610],[1,6,7,9,11,43,53,56,99,171,224,240,241,242,405,406,496,611],[1,2,3,5,7,
8,10,12,13,17,18,22,23,37,45,58,59,67,98,107,108,110,111,118,122,152,173,246,
251,356,361,407,408,411,612],[1,2,3,5,7,8,10,12,13,17,18,22,23,37,38,41,45,50,
58,59,67,98,107,108,109,111,118,120,121,124,126,129,173,216,246,248,250,257,
263,356,360,407,409,412,501,613],[1,2,3,5,8,9,12,13,17,18,22,23,37,38,41,44,
58,59,67,97,108,109,110,112,119,120,124,126,129,173,214,248,250,251,258,263,
357,359,408,409,410,502,614],[1,2,3,5,8,10,11,12,13,17,18,22,23,37,50,58,59,
67,101,108,110,111,121,123,136,164,173,251,257,367,370,408,412,423,615],[1,2,
3,5,7,9,11,12,13,17,18,22,23,44,45,58,59,67,99,107,112,118,119,123,136,164,
173,246,258,362,368,407,410,423,616],[1,2,3,5,8,10,11,12,13,17,18,22,23,37,38,
41,58,59,67,101,108,109,111,120,122,123,124,126,129,136,152,164,173,248,250,
263,366,370,388,409,411,423,617],[1,2,3,5,8,9,12,18,20,22,30,37,39,42,44,47,
52,58,83,84,97,108,119,139,147,156,161,184,212,214,215,259,286,358,359,363,
364,365,500,513,514,618],[1,2,3,5,7,8,10,12,16,18,22,26,29,37,38,39,41,45,47,
50,58,60,80,98,107,108,111,113,125,126,129,134,137,138,139,147,174,216,221,
246,248,257,259,271,277,314,356,383,417,421,501,512,619],[1,2,3,5,8,9,13,15,
18,23,28,37,38,41,44,59,63,65,97,109,110,112,115,124,126,141,145,180,214,250,
251,258,264,272,357,377,422,432,502,620],[1,2,3,4,5,7,8,10,12,14,15,18,22,24,
27,36,37,38,41,45,50,51,57,58,61,65,69,98,107,108,111,126,129,135,140,141,143,
144,182,216,220,243,246,248,257,264,275,301,305,356,373,413,453,501,516,621],[
1,2,3,4,5,8,9,13,14,18,23,24,25,27,37,38,40,41,44,51,59,61,66,68,72,97,109,
110,112,116,124,126,140,142,143,144,176,214,222,250,251,256,258,270,275,306,
311,357,381,415,456,502,515,622],[1,2,3,4,5,6,8,9,13,14,18,21,23,31,32,33,34,
37,38,40,41,44,46,51,59,70,73,74,92,97,109,110,112,116,124,126,130,144,146,
148,149,150,181,214,222,250,251,253,258,260,281,290,310,357,381,420,437,502,
517,623],[1,2,3,5,7,8,10,12,18,22,25,28,37,38,41,45,50,58,63,66,98,107,108,
111,126,129,132,142,145,179,216,246,248,257,270,272,356,379,414,447,501,624],[
1,2,3,5,7,8,10,12,18,20,22,30,37,38,41,45,50,58,83,84,98,107,108,111,117,126,
127,129,157,184,216,246,248,257,269,278,356,372,419,450,501,625],[1,2,3,5,7,9,
11,12,16,18,22,26,29,44,45,58,60,80,99,107,114,119,123,134,151,169,174,246,
268,362,382,416,417,424,626],[1,2,3,5,8,9,13,18,22,23,26,29,30,37,38,41,44,47,
52,59,76,80,83,90,97,109,110,112,124,125,126,127,137,147,156,189,214,215,250,
251,258,265,267,269,271,295,297,357,364,443,461,468,502,503,627],[1,2,3,5,8,9,
13,16,18,20,23,29,30,37,38,39,41,42,44,47,52,59,60,64,76,77,81,84,97,109,110,
112,113,117,124,125,126,127,138,139,161,195,212,214,215,244,245,250,251,255,
258,265,266,267,273,277,278,295,357,365,431,445,470,499,502,503,628],[1,2,3,5,
6,7,8,10,12,18,19,21,22,31,33,37,38,41,43,45,46,50,54,58,62,73,82,91,98,107,
108,111,126,128,129,130,149,150,159,167,201,216,217,246,247,248,257,261,276,
281,293,315,356,376,428,457,477,501,504,629],[1,2,3,4,5,6,7,8,10,12,14,15,18,
19,21,22,32,34,36,37,38,40,41,43,45,46,49,50,54,57,58,62,74,75,78,79,98,107,
108,111,115,116,126,128,129,130,146,148,160,168,203,213,216,217,243,246,247,
248,249,254,257,260,261,262,274,279,293,356,384,436,466,479,498,501,504,630],[
1,2,3,5,8,9,13,15,18,19,23,37,38,41,44,59,79,82,97,109,110,112,115,124,126,
128,141,183,214,250,251,258,274,276,357,377,418,433,502,631],[1,2,3,5,9,10,11,
12,13,17,18,22,23,44,50,58,59,67,100,111,112,119,121,122,123,136,152,164,173,
257,258,369,386,410,411,412,423,632],[1,2,3,4,5,8,9,14,18,19,24,27,30,37,39,
40,42,44,47,51,52,61,82,83,97,116,131,139,144,154,158,161,162,188,212,214,215,
222,303,328,363,365,374,378,381,385,509,511,513,633],[1,2,3,4,5,8,9,12,14,15,
18,22,24,27,37,39,40,42,44,47,51,52,57,58,61,65,69,97,108,115,116,119,139,141,
144,147,154,156,158,161,182,212,214,215,222,249,259,286,292,301,303,304,312,
359,364,365,374,377,378,381,481,500,508,511,526,533,634],[1,2,3,4,5,6,8,9,14,
18,20,21,24,27,30,31,33,37,39,40,42,44,47,48,51,52,53,61,73,84,86,88,97,116,
133,139,144,154,158,161,163,165,166,186,212,214,215,219,222,303,329,358,363,
365,371,374,375,378,380,381,510,511,514,520,536,635],[1,2,3,4,5,6,7,8,10,12,
14,15,18,19,21,22,32,34,36,37,39,43,45,46,47,51,54,57,58,62,74,75,78,79,98,
107,108,111,128,130,139,141,144,147,153,155,160,203,217,220,221,243,246,247,
259,261,288,291,293,298,299,301,356,389,436,480,504,512,516,636],[1,2,3,5,8,9,
15,18,19,20,30,37,39,42,44,47,52,65,82,84,97,115,131,139,141,161,162,187,212,
214,215,304,328,358,363,365,377,385,508,509,514,637],[1,2,3,5,6,8,9,15,18,21,
30,31,33,37,39,42,44,47,48,52,53,65,73,83,97,115,133,139,141,161,163,165,166,
200,212,214,215,219,304,329,363,365,371,375,377,380,508,510,513,638],[1,3,4,6,
8,9,13,16,20,25,27,33,34,38,39,40,42,46,51,64,68,70,71,87,88,94,97,109,110,
112,113,117,140,142,148,150,155,158,211,212,222,244,245,253,255,256,289,294,
302,307,310,311,357,378,482,483,499,515,517,639],[1,3,4,5,6,8,9,13,24,25,27,
29,30,32,33,34,38,40,46,47,51,52,68,70,76,86,89,93,95,97,109,110,112,125,127,
140,142,148,150,153,154,208,215,222,253,256,265,267,287,295,308,309,310,311,
313,357,374,474,475,503,515,517,640],[1,2,3,5,6,8,9,12,18,19,21,22,31,33,37,
39,42,44,47,48,52,53,58,62,73,82,91,97,108,119,131,133,139,147,156,161,162,
163,165,166,201,212,214,215,219,259,285,286,322,325,326,328,329,359,364,365,
371,375,380,385,485,500,509,510,528,530,641],[1,2,3,4,5,7,8,10,12,14,15,18,22,
24,27,36,37,39,40,45,47,49,51,57,58,61,65,69,98,107,108,111,115,116,135,139,
141,144,147,154,158,182,213,220,221,243,246,249,254,259,292,301,303,304,312,
356,387,413,481,498,512,516,642],[1,3,4,6,7,8,10,13,16,20,25,27,33,34,36,39,
40,43,45,49,51,64,68,70,71,87,88,94,98,110,118,122,132,134,135,157,158,159,
160,211,213,220,221,244,256,282,283,284,310,316,321,327,330,331,361,387,482,
484,505,518,525,643],[1,3,4,6,7,9,11,13,16,20,25,27,33,34,36,42,43,45,48,53,
55,64,68,70,71,87,88,94,99,114,118,132,134,135,151,157,159,160,165,211,218,
223,224,252,282,283,284,296,300,321,327,330,331,333,382,390,478,484,522,523,
524,644],[1,3,4,6,7,8,10,13,16,20,25,27,33,34,36,38,39,40,43,45,46,49,50,51,
54,64,68,70,71,87,88,94,98,109,113,117,118,121,132,134,135,140,142,148,150,
155,157,158,159,160,167,168,211,213,216,217,220,221,245,253,282,283,284,289,
294,302,307,311,319,321,327,330,331,360,372,373,376,379,383,384,387,389,483,
484,507,521,529,531,532,534,535,645],[1,2,3,5,6,7,9,11,12,18,19,21,22,31,33,
42,43,44,45,48,52,53,55,58,62,73,82,91,99,107,119,123,131,133,156,159,161,162,
163,165,166,201,218,223,224,246,247,285,286,318,322,325,326,328,329,362,390,
428,485,506,519,527,646],[1,2,3,4,5,6,12,14,15,18,19,20,21,22,25,28,30,32,34,
35,57,58,62,63,66,74,75,78,79,83,84,87,89,102,103,104,105,106,179,184,190,191,
199,203,207,227,228,229,230,231,232,233,234,235,236,237,238,239,351,391,392,
393,394,395,396,397,398,399,400,401,402,403,543,544,545,546,547,548,549,647],[
1,3,9,13,16,20,42,56,64,112,114,240,252,255,648],[1,2,6,7,12,19,21,43,56,62,
107,170,171,241,247,335,336,337,405,489,551,649],[1,2,6,9,12,19,21,44,53,56,
62,119,162,163,170,171,240,326,335,336,337,404,406,489,550,553,554,650],[1,3,
7,8,10,13,35,39,45,98,102,110,118,122,172,221,338,361,490,651],[1,3,7,9,11,16,
35,42,45,99,102,114,134,151,172,223,338,382,491,652],[1,2,3,4,5,6,7,12,13,14,
15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,36,43,45,57,58,59,
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,
86,87,88,89,90,91,92,93,94,95,96,107,118,132,134,135,157,159,160,173,174,175,
176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,
195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,243,246,
247,282,283,284,321,327,330,331,341,342,343,344,345,346,347,348,349,350,351,
352,353,354,355,407,413,414,417,428,436,450,484,497,555,557,562,577,580,581,
588,653],[1,2,3,4,5,6,8,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,
30,31,32,33,34,37,39,40,47,51,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,
73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,108,
110,115,116,139,141,144,147,154,158,173,174,175,176,177,178,179,180,181,182,
183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,
202,203,204,205,206,207,208,209,210,211,244,249,251,256,259,267,292,301,303,
304,310,312,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,408,
415,422,431,433,437,443,474,481,482,497,556,558,576,579,582,585,586,654],[1,2,
3,4,5,6,8,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,
34,37,38,39,40,41,46,47,51,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,
74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,108,109,
113,115,116,117,120,124,125,126,127,128,129,130,137,138,139,140,141,142,143,
144,145,146,147,148,149,150,153,154,155,158,173,174,175,176,177,178,179,180,
181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,
200,201,202,203,204,205,206,207,208,209,210,211,245,248,249,250,253,259,260,
261,262,263,264,265,266,269,270,271,272,273,274,275,276,277,278,279,281,287,
288,289,290,291,292,294,297,298,299,301,302,303,304,305,306,307,308,309,311,
312,313,314,315,320,323,324,341,342,343,344,345,346,347,348,349,350,351,352,
353,354,355,409,418,419,420,421,425,426,427,429,430,432,434,435,438,439,441,
442,444,445,447,451,452,453,454,455,456,457,458,459,461,462,463,464,466,467,
469,471,472,475,476,480,481,483,497,560,561,567,569,572,574,575,578,584,587,
589,590,591,592,593,655],[1,2,3,4,5,6,9,12,13,14,15,16,17,18,19,20,21,22,23,
24,25,26,27,28,29,30,31,32,33,34,42,44,48,52,53,57,58,59,60,61,62,63,64,65,66,
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,
93,94,95,96,114,119,131,133,156,161,162,163,165,166,173,174,175,176,177,178,
179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,
198,199,200,201,202,203,204,205,206,207,208,209,210,211,252,268,280,285,286,
296,300,322,325,326,328,329,341,342,343,344,345,346,347,348,349,350,351,352,
353,354,355,416,440,446,448,449,460,465,473,478,485,497,559,566,568,570,571,
573,583,656],[1,2,3,5,7,8,9,10,11,12,18,22,37,39,42,44,45,47,52,58,97,98,99,
100,101,107,108,111,119,123,139,147,156,161,212,214,215,221,223,246,259,286,
334,356,359,362,364,365,369,370,486,500,512,527,595,657],[1,3,7,8,9,10,11,13,
16,20,38,39,42,45,50,64,97,98,99,100,101,109,110,112,113,117,118,121,122,134,
136,157,212,216,221,223,244,245,255,327,334,357,360,361,366,367,368,372,383,
386,486,499,518,529,541,596,658],[1,2,6,7,8,9,10,11,12,19,21,37,43,44,48,53,
55,62,97,98,99,100,101,107,108,111,119,123,131,133,162,163,214,218,219,224,
225,247,285,318,326,334,356,359,362,369,370,380,385,487,506,519,530,542,595,
659],[1,3,4,7,8,9,10,11,13,25,27,36,38,40,45,49,50,51,68,97,98,99,100,101,109,
110,112,118,121,122,132,135,136,140,142,213,216,220,222,226,256,284,311,316,
334,357,360,361,366,367,368,373,379,386,488,505,515,531,537,596,660],[1,3,4,6,
7,8,9,10,11,13,33,34,36,38,40,43,45,46,49,50,51,54,70,97,98,99,100,101,109,
110,112,118,121,122,136,148,150,159,160,167,168,213,216,217,220,222,226,253,
282,310,319,334,357,360,361,366,367,368,376,384,386,488,507,517,525,540,596,
661],[1,2,4,7,8,9,10,11,12,14,15,36,37,40,44,49,51,57,97,98,99,100,101,107,
108,111,115,116,119,123,141,144,213,214,220,222,226,243,249,254,301,334,356,
359,362,369,370,377,381,488,498,516,533,539,595,662],[1,3,4,6,7,8,9,10,11,20,
27,33,36,39,40,42,43,45,48,49,51,53,55,88,97,98,99,100,101,135,157,158,159,
165,212,213,218,219,220,221,222,223,224,225,226,331,334,358,375,378,387,390,
486,487,488,520,597,598,599,663],[1,2,3,5,8,12,13,17,18,22,23,35,37,39,47,58,
59,67,102,103,104,108,110,139,147,173,228,232,234,251,259,391,408,490,602,
664],[1,2,3,5,9,12,16,18,22,26,29,35,42,44,52,58,60,80,102,103,104,114,119,
156,161,174,228,232,234,268,286,391,416,491,605,665],[1,2,3,5,8,13,15,18,23,
28,35,37,39,47,59,63,65,102,103,104,110,115,139,141,180,232,238,251,304,395,
422,490,602,666],[1,2,3,5,8,13,18,22,23,26,29,30,35,37,39,41,47,59,76,80,83,
90,102,103,104,110,129,137,138,139,147,189,232,235,251,267,314,394,443,490,
601,602,667],[1,2,3,5,8,13,15,18,19,23,35,37,39,47,59,79,82,102,103,104,110,
128,139,141,183,231,232,233,251,288,401,433,490,602,668],[1,2,3,4,5,8,13,14,
18,23,24,25,27,35,37,39,40,47,51,59,61,66,68,72,102,103,104,110,116,139,144,
154,158,176,232,237,251,256,303,398,415,490,602,604,669],[1,2,3,4,5,6,8,13,14,
18,21,23,31,32,33,34,35,37,39,46,47,51,59,70,73,74,92,102,103,104,105,106,110,
130,139,144,153,155,181,229,230,232,236,239,251,291,310,399,437,490,602,606,
670],[1,2,3,5,8,13,16,18,20,23,29,30,35,37,38,39,41,47,59,60,64,76,77,81,84,
102,103,104,110,113,125,126,138,139,195,227,232,235,244,251,267,277,400,431,
490,600,601,602,671],[1,3,4,5,6,8,13,24,25,27,29,30,32,33,34,35,39,40,41,46,
47,51,68,70,76,86,89,93,95,102,105,106,110,138,143,146,153,154,155,158,208,
235,236,237,256,267,310,324,402,474,490,601,604,606,672],[1,2,3,5,7,12,18,22,
25,28,35,45,58,63,66,102,103,104,107,132,172,179,228,232,234,237,238,246,338,
391,395,398,414,492,493,545,603,673],[1,2,3,5,7,12,18,20,22,30,35,45,58,83,84,
102,103,104,107,157,172,184,227,228,232,234,235,246,338,391,394,400,450,492,
494,543,603,674],[1,2,3,5,9,16,18,19,28,29,35,42,44,52,60,63,82,102,103,104,
114,131,161,162,205,232,238,268,328,395,446,491,605,675],[1,2,3,5,6,9,16,18,
21,25,29,31,33,35,42,44,48,52,53,60,66,73,94,95,102,103,104,114,133,161,163,
165,166,197,232,237,268,296,329,398,448,491,605,609,676],[1,3,4,6,8,13,16,20,
25,27,33,34,35,38,39,40,46,51,64,68,70,71,87,88,94,102,105,106,110,113,140,
148,155,158,211,227,236,237,244,256,307,310,403,482,490,600,604,606,677],[1,2,
3,4,5,6,7,12,14,15,18,19,21,22,32,34,35,36,43,45,57,58,62,74,75,78,79,102,103,
104,105,106,107,160,172,203,228,229,230,231,232,233,234,236,239,243,246,247,
338,339,340,391,392,393,396,397,399,401,436,492,495,546,603,607,608,678],[1,2,
7,9,11,12,44,56,99,107,119,123,170,240,241,242,335,362,404,496,550,551,552,
679],[1,2,3,4,5,7,8,10,12,13,14,15,17,18,22,23,24,25,27,28,36,37,40,45,49,57,
58,59,61,63,65,66,67,68,69,72,85,98,107,108,110,111,115,116,118,122,132,135,
152,173,176,178,179,180,182,185,213,243,246,249,251,254,256,284,316,317,341,
356,361,407,408,411,413,414,415,422,498,505,557,558,564,612,680],[1,2,3,5,8,9,
12,13,16,17,18,20,22,23,26,29,30,37,38,39,41,42,44,47,52,58,59,60,64,67,76,77,
80,81,83,84,90,97,108,109,110,112,113,117,119,120,124,125,126,127,129,137,138,
139,147,156,161,173,174,184,189,194,195,196,212,214,215,244,245,248,250,251,
255,258,259,263,265,266,267,269,271,273,277,278,286,295,297,314,344,357,359,
364,365,408,409,410,419,421,431,434,443,445,461,467,468,470,499,500,502,503,
556,560,563,614,627,628,681],[1,2,3,4,5,6,7,8,10,12,13,14,15,17,18,19,21,22,
23,31,32,33,34,36,37,38,40,41,43,45,46,49,50,54,57,58,59,62,67,70,73,74,75,78,
79,82,91,92,98,107,108,109,111,115,116,118,120,121,124,126,128,129,130,146,
148,149,150,159,160,167,168,173,181,183,192,201,203,204,213,216,217,243,246,
247,248,249,250,253,254,257,260,261,262,263,274,276,279,281,282,290,293,315,
319,342,356,360,376,384,407,409,412,418,420,428,436,438,457,459,466,477,479,
498,501,504,507,561,562,565,613,629,630,682],[1,2,3,4,5,6,8,9,13,14,15,18,21,
22,23,26,28,29,30,31,32,33,34,37,38,40,41,44,46,47,51,52,59,63,65,69,70,73,74,
76,78,80,83,90,92,96,97,109,110,112,115,116,124,125,126,127,130,137,141,144,
145,146,147,148,149,150,156,180,181,189,190,198,200,202,214,215,222,250,251,
253,258,260,264,265,267,269,271,272,281,290,292,295,297,299,310,312,320,347,
357,364,377,381,420,422,427,429,432,437,443,461,462,463,468,502,503,517,526,
586,587,620,623,627,683],[1,2,3,5,7,8,10,12,13,16,17,18,20,22,23,26,29,30,37,
39,45,47,58,59,60,64,67,76,77,80,81,83,84,90,98,107,108,110,111,118,122,134,
139,147,152,157,173,174,184,189,194,195,196,221,244,246,251,259,267,327,344,
356,361,407,408,411,417,431,443,450,512,518,556,581,612,684],[1,2,3,5,6,7,8,
10,12,16,18,19,21,22,25,26,28,29,31,33,37,38,39,41,43,45,46,47,50,54,58,60,62,
63,66,73,80,82,91,94,95,96,98,107,108,111,113,125,126,128,129,130,132,134,137,
138,139,142,145,147,149,150,159,167,174,179,197,198,201,205,206,216,217,221,
246,247,248,257,259,261,270,271,272,276,277,281,293,294,309,314,315,320,321,
346,356,376,379,383,414,417,421,428,430,447,455,457,463,464,477,501,504,512,
521,577,589,619,624,629,685],[1,2,3,4,5,6,7,8,10,12,13,14,15,17,18,19,21,22,
23,31,32,33,34,36,37,43,45,51,57,58,59,62,67,70,73,74,75,78,79,82,91,92,98,
107,108,110,111,118,122,141,144,152,159,160,173,181,183,192,201,203,204,220,
243,246,247,251,282,301,310,342,356,361,407,408,411,428,433,436,437,516,525,
562,579,612,686],[1,2,3,4,5,7,8,10,12,13,14,15,17,18,22,23,24,25,27,28,36,37,
38,41,45,50,51,57,58,59,61,63,65,66,67,68,69,72,85,98,107,108,109,111,118,120,
121,124,126,129,132,135,140,141,142,143,144,145,173,176,178,179,180,182,185,
216,220,243,246,248,250,257,263,264,270,272,275,284,301,305,306,311,323,341,
356,360,373,379,407,409,412,413,414,425,432,447,453,456,458,501,516,531,557,
574,613,621,624,687],[1,2,3,4,5,6,8,9,12,13,14,15,17,18,19,21,22,23,31,32,33,
34,37,38,40,41,44,46,51,57,58,59,62,67,70,73,74,75,78,79,82,91,92,97,108,109,
110,112,115,116,119,120,124,126,128,129,130,141,144,146,148,149,150,173,181,
183,192,201,203,204,214,222,248,249,250,251,253,258,260,261,262,263,274,276,
279,281,290,301,310,315,342,357,359,377,381,408,409,410,418,420,433,437,438,
457,459,466,502,517,533,561,579,614,623,631,688],[1,2,3,4,5,6,8,9,13,14,16,18,
20,21,23,24,25,27,29,30,31,32,33,34,37,38,39,40,41,42,44,46,47,51,52,59,60,61,
64,66,68,70,71,72,73,74,76,77,81,84,86,87,88,89,92,93,94,95,97,109,110,112,
113,116,117,124,125,126,127,130,138,139,140,142,143,144,146,148,149,150,153,
154,155,158,161,176,177,181,186,195,197,199,208,209,210,211,212,214,215,222,
244,245,250,251,253,255,256,258,260,265,266,267,270,273,275,277,278,281,287,
289,290,291,294,295,302,303,306,307,308,309,310,311,313,324,345,357,365,374,
378,381,415,420,426,430,431,437,444,445,451,456,470,471,474,475,476,482,483,
499,502,503,511,515,517,567,576,622,623,628,639,640,689],[1,2,3,5,7,9,11,12,
13,16,17,18,20,22,23,26,29,30,42,44,45,52,58,59,60,64,67,76,77,80,81,83,84,90,
99,107,114,118,119,123,134,151,156,157,161,169,173,174,184,189,194,195,196,
223,246,252,268,280,286,327,344,362,382,407,416,417,424,449,450,460,523,527,
559,581,626,690],[1,2,3,4,5,6,7,8,10,12,14,15,16,18,19,21,22,24,26,27,29,32,
34,36,37,38,39,40,41,43,45,46,47,49,50,51,54,57,58,60,61,62,65,69,71,74,75,78,
79,80,93,98,107,108,111,113,115,116,125,126,128,129,130,134,135,137,138,139,
140,141,143,144,146,147,148,153,154,155,158,160,168,174,175,177,182,193,202,
203,213,216,217,220,221,243,246,247,248,249,254,257,259,260,261,262,264,271,
274,275,277,279,283,288,291,292,293,298,299,301,303,304,305,307,308,312,314,
324,343,356,373,383,384,387,389,413,417,421,436,441,444,453,454,462,466,469,
472,479,480,481,498,501,504,512,516,535,555,584,619,621,630,636,642,691],[1,2,
3,5,7,8,10,12,13,16,17,18,20,22,23,26,29,30,37,38,39,41,45,47,50,58,59,60,64,
67,76,77,80,81,83,84,90,98,107,108,109,111,113,117,118,120,121,124,125,126,
127,129,134,137,138,139,147,157,173,174,184,189,194,195,196,216,221,245,246,
248,250,257,259,263,265,266,269,271,273,277,278,297,314,327,344,356,360,372,
383,407,409,412,417,419,421,434,445,450,461,467,501,512,529,560,581,613,619,
625,692],[1,2,3,4,5,8,9,13,14,15,18,19,22,23,24,25,26,27,29,30,37,38,40,41,44,
47,51,52,59,61,66,68,69,72,75,76,79,80,82,83,90,97,109,110,112,115,116,124,
125,126,127,128,137,140,141,142,143,144,147,156,176,183,188,189,193,206,207,
214,215,222,250,251,256,258,265,267,269,270,271,274,275,276,292,295,297,298,
306,311,312,354,357,364,377,381,415,418,433,435,441,443,452,455,456,461,468,
502,503,515,526,585,592,622,627,631,693],[1,2,3,4,5,6,7,8,10,12,14,15,18,19,
20,21,22,25,28,30,32,34,36,37,38,40,41,43,45,46,49,50,54,57,58,62,63,66,74,75,
78,79,83,84,87,89,98,107,108,111,115,116,117,126,127,128,129,130,132,142,145,
146,148,157,160,168,179,184,190,191,199,203,207,213,216,217,243,246,247,248,
249,254,257,260,261,262,269,270,272,274,278,279,293,302,313,330,351,356,372,
379,384,414,419,427,436,439,447,450,451,452,466,479,498,501,504,534,580,593,
624,625,630,694],[1,2,3,4,5,6,7,8,10,12,14,15,18,19,20,21,22,24,27,30,31,33,
36,37,38,41,43,45,46,50,51,54,57,58,61,62,65,69,73,82,83,84,86,88,91,98,107,
108,111,117,126,127,128,129,130,135,140,141,143,144,149,150,157,159,167,182,
184,186,187,188,200,201,216,217,220,243,246,247,248,257,261,264,269,275,276,
278,281,287,289,293,301,305,315,331,355,356,372,373,376,413,419,426,428,429,
435,442,450,453,457,477,501,504,516,532,578,588,621,625,629,695],[1,2,3,5,6,7,
9,11,12,16,18,19,21,22,25,26,28,29,31,33,43,44,45,48,55,58,60,62,63,66,73,80,
82,91,94,95,96,99,107,114,119,123,131,132,133,134,151,159,169,174,179,197,198,
201,205,206,218,246,247,268,285,296,318,321,332,333,346,362,382,414,416,417,
424,428,446,448,506,522,568,577,594,626,696],[1,2,3,4,5,8,9,12,13,14,15,17,18,
22,23,24,25,27,28,37,38,40,41,44,51,57,58,59,61,63,65,66,67,68,69,72,85,97,
108,109,110,112,115,116,119,120,124,126,129,140,141,142,143,144,145,173,176,
178,179,180,182,185,214,222,248,249,250,251,256,258,263,264,270,272,275,301,
305,306,311,323,341,357,359,377,381,408,409,410,415,422,425,432,447,453,456,
458,502,515,533,558,574,614,620,622,697],[1,2,3,5,8,9,13,15,16,18,19,20,23,28,
29,30,37,38,39,41,42,44,47,52,59,60,63,64,65,76,77,79,81,82,84,97,109,110,112,
113,115,117,124,125,126,127,128,138,139,141,145,161,175,180,183,187,191,195,
205,212,214,215,244,245,250,251,255,258,264,265,266,267,272,273,274,276,277,
278,288,295,304,348,357,365,377,418,422,431,432,433,439,442,445,454,464,470,
499,502,503,508,582,590,620,628,631,698],[1,2,3,4,5,6,7,9,11,12,14,15,16,18,
19,21,22,24,26,27,29,32,34,36,43,44,45,53,57,58,60,61,62,65,69,71,74,75,78,79,
80,93,99,107,114,119,123,134,135,151,160,162,163,169,174,175,177,182,193,202,
203,224,243,246,247,268,283,300,326,343,362,382,413,416,417,424,436,440,465,
519,524,555,566,626,699],[1,2,3,4,5,8,10,11,12,13,14,15,17,18,22,23,24,25,27,
28,37,38,41,49,51,57,58,59,61,63,65,66,67,68,69,72,85,101,108,109,111,120,122,
123,124,126,129,136,140,141,142,143,144,145,152,164,173,176,178,179,180,182,
185,226,248,250,254,263,264,270,272,275,301,305,306,311,316,317,323,341,366,
370,388,409,411,423,425,432,447,453,456,458,537,538,539,564,574,617,700],[1,2,
3,4,5,6,8,10,11,12,13,14,15,17,18,19,21,22,23,31,32,33,34,37,49,50,51,54,57,
58,59,62,67,70,73,74,75,78,79,82,91,92,101,108,110,111,121,123,136,141,144,
164,167,168,173,181,183,192,201,203,204,226,251,254,257,293,301,310,319,342,
367,370,408,412,423,433,437,477,479,539,540,565,579,615,701],[1,2,3,4,5,6,8,9,
12,14,15,18,19,20,21,22,24,27,30,31,33,37,39,40,42,44,47,48,51,52,53,57,58,61,
62,65,69,73,82,83,84,86,88,91,97,108,115,116,119,131,133,139,141,144,147,154,
156,158,161,162,163,165,166,182,184,186,187,188,200,201,212,214,215,219,222,
249,259,285,286,292,301,303,304,312,322,325,326,328,329,355,358,359,363,364,
365,371,374,375,377,378,380,381,385,481,485,500,508,509,510,511,513,514,520,
526,528,530,533,536,618,633,634,635,637,638,641,702],[1,2,3,5,7,9,11,12,13,16,
17,18,20,22,23,26,29,30,42,44,45,52,58,59,60,64,67,76,77,80,81,83,84,90,99,
107,112,118,119,123,134,136,156,157,161,164,173,174,184,189,194,195,196,223,
246,255,258,286,295,327,344,362,368,407,410,417,423,450,468,470,527,541,563,
581,616,703],[1,2,3,5,9,13,16,18,20,23,29,30,42,44,52,56,59,60,64,76,77,81,84,
112,114,161,170,195,240,252,255,258,268,280,295,404,460,470,648,704],[1,3,8,9,
13,16,20,35,39,42,64,97,102,110,114,212,244,252,358,490,491,705],[1,3,4,7,8,
10,13,25,27,35,36,39,40,45,49,51,68,98,102,110,118,122,132,135,158,172,213,
220,221,237,256,284,316,338,361,387,490,493,505,604,651,706],[1,3,7,8,10,13,
16,20,35,38,39,45,50,64,98,102,110,113,118,122,134,157,172,216,221,227,244,
327,338,361,383,490,494,518,600,651,707],[1,3,4,6,7,8,10,13,33,34,35,36,39,43,
45,46,51,54,70,98,102,105,106,110,118,122,155,159,160,172,217,220,221,236,282,
310,338,339,340,361,389,490,495,525,606,651,708],[1,3,6,7,9,11,16,25,33,35,42,
43,45,48,53,55,94,99,102,114,132,134,151,159,165,172,218,223,224,237,296,321,
333,338,382,390,491,493,522,609,652,709],[1,2,3,5,7,8,9,10,11,12,13,17,18,22,
23,37,38,41,44,45,50,58,59,67,97,98,99,100,101,107,108,109,110,111,112,118,
119,120,121,122,123,124,126,129,136,152,164,173,214,216,246,248,250,251,257,
258,263,334,356,357,359,360,361,362,366,367,368,369,370,386,388,407,408,409,
410,411,412,423,501,502,595,596,612,613,614,615,616,617,632,710],[1,2,3,4,5,7,
8,9,10,11,12,14,15,18,22,24,27,36,37,39,40,42,44,45,47,49,51,52,57,58,61,65,
69,97,98,99,100,101,107,108,111,115,116,119,123,135,139,141,144,147,154,156,
158,161,182,212,213,214,215,220,221,222,223,226,243,246,249,254,259,286,292,
301,303,304,312,334,356,359,362,364,365,369,370,374,377,378,381,387,413,481,
486,488,498,500,508,511,512,516,526,527,533,539,595,597,634,642,657,662,711],[
1,2,3,5,6,7,8,9,10,11,12,18,19,21,22,31,33,37,39,42,43,44,45,47,48,52,53,55,
58,62,73,82,91,97,98,99,100,101,107,108,111,119,123,131,133,139,147,156,159,
161,162,163,165,166,201,212,214,215,218,219,221,223,224,225,246,247,259,285,
286,318,322,325,326,328,329,334,356,359,362,364,365,369,370,371,375,380,385,
390,428,485,486,487,500,506,509,510,512,519,527,528,530,542,595,598,641,646,
657,659,712],[1,2,3,5,7,8,9,10,11,12,18,20,22,30,37,39,42,44,45,47,52,58,83,
84,97,98,99,100,101,107,108,111,119,123,139,147,156,157,161,184,212,214,215,
221,223,246,259,286,334,356,358,359,362,363,364,365,369,370,450,486,500,512,
513,514,527,595,599,618,657,713],[1,3,4,6,7,8,9,10,11,13,16,20,25,27,33,34,36,
38,39,40,42,43,45,46,49,50,51,54,64,68,70,71,87,88,94,97,98,99,100,101,109,
110,112,113,117,118,121,122,132,134,135,136,140,142,148,150,155,157,158,159,
160,167,168,211,212,213,216,217,220,221,222,223,226,244,245,253,255,256,282,
283,284,289,294,302,307,310,311,316,319,321,327,330,331,334,357,360,361,366,
367,368,372,373,376,378,379,383,384,386,387,389,482,483,484,486,488,499,505,
507,515,517,518,521,525,529,531,532,534,535,537,540,541,596,597,639,643,645,
658,660,661,714],[1,2,3,5,8,12,13,16,17,18,20,22,23,26,29,30,35,37,38,39,41,
47,58,59,60,64,67,76,77,80,81,83,84,90,102,103,104,108,110,113,125,126,129,
137,138,139,147,173,174,184,189,194,195,196,227,228,232,234,235,244,248,251,
259,267,271,277,314,344,391,394,400,408,421,431,443,490,543,556,600,601,602,
664,667,671,715],[1,2,3,4,5,8,13,14,15,18,19,22,23,24,25,26,27,29,30,35,37,39,
40,41,47,51,59,61,66,68,69,72,75,76,79,80,82,83,90,102,103,104,110,116,128,
129,137,138,139,141,144,147,154,158,176,183,188,189,193,206,207,231,232,233,
235,237,251,256,262,267,288,298,303,305,312,314,354,394,398,401,415,433,443,
469,490,547,585,601,602,604,667,668,669,716],[1,2,3,4,5,6,8,12,13,14,15,17,18,
19,21,22,23,31,32,33,34,35,37,39,46,47,51,57,58,59,62,67,70,73,74,75,78,79,82,
91,92,102,103,104,105,106,108,110,128,130,139,141,144,147,153,155,173,181,183,
192,201,203,204,228,229,230,231,232,233,234,236,239,251,259,261,288,291,298,
299,301,310,342,391,392,393,396,397,399,401,408,433,437,480,490,546,579,602,
606,664,668,670,717],[1,2,3,4,5,6,8,13,14,15,18,21,22,23,26,28,29,30,31,32,33,
34,35,37,39,41,46,47,51,59,63,65,69,70,73,74,76,78,80,83,90,92,96,102,103,104,
105,106,110,115,129,130,137,138,139,141,144,147,153,155,180,181,189,190,198,
200,202,229,230,232,235,236,238,239,251,267,279,291,292,299,304,305,310,314,
347,394,395,399,422,437,443,472,490,548,586,601,602,606,666,667,670,718],[1,2,
3,4,5,8,12,13,14,15,17,18,22,23,24,25,27,28,35,37,39,40,47,51,57,58,59,61,63,
65,66,67,68,69,72,85,102,103,104,108,110,115,116,139,141,144,147,154,158,173,
176,178,179,180,182,185,228,232,234,237,238,249,251,256,259,292,301,303,304,
312,341,391,395,398,408,415,422,481,490,545,558,602,604,664,666,669,719],[1,2,
3,4,5,6,8,13,14,16,18,20,21,23,24,25,27,29,30,31,32,33,34,35,37,38,39,40,41,
46,47,51,59,60,61,64,66,68,70,71,72,73,74,76,77,81,84,86,87,88,89,92,93,94,95,
102,103,104,105,106,110,113,116,125,126,130,138,139,140,143,144,146,148,153,
154,155,158,176,177,181,186,195,197,199,208,209,210,211,227,229,230,232,235,
236,237,239,244,251,256,260,267,275,277,291,303,307,308,310,324,345,398,399,
400,402,403,415,431,437,444,474,482,490,549,576,600,601,602,604,606,669,670,
671,672,677,720],[1,2,3,5,8,13,15,16,18,19,20,23,28,29,30,35,37,38,39,41,47,
59,60,63,64,65,76,77,79,81,82,84,102,103,104,110,113,115,125,126,128,138,139,
141,175,180,183,187,191,195,205,227,231,232,233,235,238,244,251,264,267,274,
277,288,304,348,395,400,401,422,431,433,454,490,544,582,600,601,602,666,668,
671,721],[1,2,3,4,5,6,7,12,14,15,18,19,20,21,22,25,28,30,32,34,35,36,43,45,57,
58,62,63,66,74,75,78,79,83,84,87,89,102,103,104,105,106,107,132,157,160,172,
179,184,190,191,199,203,207,227,228,229,230,231,232,233,234,235,236,237,238,
239,243,246,247,330,338,339,340,351,391,392,393,394,395,396,397,398,399,400,
401,402,403,414,436,450,492,493,494,495,543,544,545,546,547,548,549,580,603,
607,608,610,647,673,674,678,722],[1,2,3,5,6,9,12,16,18,19,21,22,25,26,28,29,
31,33,35,42,44,48,52,53,58,60,62,63,66,73,80,82,91,94,95,96,102,103,104,114,
119,131,133,156,161,162,163,165,166,174,179,197,198,201,205,206,228,232,234,
237,238,268,285,286,296,322,325,326,328,329,346,391,395,398,416,446,448,485,
491,545,568,605,609,665,675,676,723],[1,2,6,7,9,11,12,19,21,43,44,53,56,62,99,
107,119,123,162,163,170,171,224,240,241,242,247,326,335,336,337,362,404,405,
406,489,496,519,550,551,552,553,554,611,649,650,679,724],[1,3,7,9,11,13,16,20,
42,45,56,64,99,112,114,118,134,136,151,157,223,240,241,242,252,255,327,368,
382,496,523,541,648,725],[1,2,3,4,5,6,8,9,12,13,14,15,16,17,18,19,20,21,22,23,
24,25,26,27,28,29,30,31,32,33,34,37,38,39,40,41,42,44,46,47,51,52,57,58,59,60,
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,
87,88,89,90,91,92,93,94,95,96,97,108,109,110,112,113,115,116,117,119,120,124,
125,126,127,128,129,130,137,138,139,140,141,142,143,144,145,146,147,148,149,
150,153,154,155,156,158,161,173,174,175,176,177,178,179,180,181,182,183,184,
185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,
204,205,206,207,208,209,210,211,212,214,215,222,244,245,248,249,250,251,253,
255,256,258,259,260,261,262,263,264,265,266,267,269,270,271,272,273,274,275,
276,277,278,279,281,286,287,288,289,290,291,292,294,295,297,298,299,301,302,
303,304,305,306,307,308,309,310,311,312,313,314,315,320,323,324,341,342,343,
344,345,346,347,348,349,350,351,352,353,354,355,357,359,364,365,374,377,378,
381,408,409,410,415,418,419,420,421,422,425,426,427,429,430,431,432,433,434,
435,437,438,439,441,442,443,444,445,447,451,452,453,454,455,456,457,458,459,
461,462,463,464,466,467,468,469,470,471,472,474,475,476,480,481,482,483,497,
499,500,502,503,508,511,515,517,526,533,556,558,560,561,563,567,569,572,574,
575,576,578,579,582,584,585,586,587,589,590,591,592,593,614,620,622,623,627,
628,631,634,639,640,654,655,681,683,688,689,693,697,698,726],[1,2,3,4,5,6,7,9,
11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,36,42,
43,44,45,48,52,53,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,
76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,99,107,114,118,
119,123,131,132,133,134,135,151,156,157,159,160,161,162,163,165,166,169,173,
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,
218,223,224,243,246,247,252,268,280,282,283,284,285,286,296,300,318,321,322,
325,326,327,328,329,330,331,332,333,341,342,343,344,345,346,347,348,349,350,
351,352,353,354,355,362,382,390,407,413,414,416,417,424,428,436,440,446,448,
449,450,460,465,473,478,484,485,497,506,519,522,523,524,527,555,557,559,562,
566,568,570,571,573,577,580,581,583,588,594,626,644,646,653,656,690,696,699,
727],[1,2,3,4,5,6,7,8,10,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,
29,30,31,32,33,34,36,37,38,39,40,41,43,45,46,47,49,50,51,54,57,58,59,60,61,62,
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,
89,90,91,92,93,94,95,96,98,107,108,109,111,113,115,116,117,118,120,121,124,
125,126,127,128,129,130,132,134,135,137,138,139,140,141,142,143,144,145,146,
147,148,149,150,153,154,155,157,158,159,160,167,168,173,174,175,176,177,178,
179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,
198,199,200,201,202,203,204,205,206,207,208,209,210,211,213,216,217,220,221,
243,245,246,247,248,249,250,253,254,257,259,260,261,262,263,264,265,266,269,
270,271,272,273,274,275,276,277,278,279,281,282,283,284,287,288,289,290,291,
292,293,294,297,298,299,301,302,303,304,305,306,307,308,309,311,312,313,314,
315,319,320,321,323,324,327,330,331,341,342,343,344,345,346,347,348,349,350,
351,352,353,354,355,356,360,372,373,376,379,383,384,387,389,407,409,412,413,
414,417,418,419,420,421,425,426,427,428,429,430,432,434,435,436,438,439,441,
442,444,445,447,450,451,452,453,454,455,456,457,458,459,461,462,463,464,466,
467,469,471,472,475,476,477,479,480,481,483,484,497,498,501,504,507,512,516,
521,529,531,532,534,535,555,557,560,561,562,565,567,569,572,574,575,577,578,
580,581,584,587,588,589,590,591,592,593,613,619,621,624,625,629,630,636,642,
645,653,655,682,685,687,691,692,694,695,728],[1,2,3,4,5,6,7,8,10,12,13,14,15,
16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,36,37,39,40,43,45,47,
49,51,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,
81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,98,107,108,110,111,115,116,
118,122,132,134,135,139,141,144,147,152,154,157,158,159,160,173,174,175,176,
177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,
196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,213,220,221,
243,244,246,247,249,251,254,256,259,267,282,283,284,292,301,303,304,310,312,
316,317,321,327,330,331,341,342,343,344,345,346,347,348,349,350,351,352,353,
354,355,356,361,387,407,408,411,413,414,415,417,422,428,431,433,436,437,443,
450,474,481,482,484,497,498,505,512,516,518,525,555,556,557,558,562,564,576,
577,579,580,581,582,585,586,588,612,642,643,653,654,680,684,686,729],[1,2,3,5,
9,12,13,16,17,18,20,22,23,26,29,30,42,44,52,56,58,59,60,64,67,76,77,80,81,83,
84,90,112,114,119,156,161,170,173,174,184,189,194,195,196,240,252,255,258,268,
280,286,295,335,344,404,410,416,449,460,468,470,550,559,563,648,704,730],[1,2,
3,5,7,8,10,12,13,17,18,22,23,35,37,39,45,47,58,59,67,98,102,103,104,107,108,
110,111,118,122,139,147,152,172,173,221,228,232,234,246,251,259,338,356,361,
391,407,408,411,490,492,512,602,603,612,651,664,731],[1,2,3,5,8,9,13,16,18,20,
23,29,30,35,37,39,42,44,47,52,59,60,64,76,77,81,84,97,102,103,104,110,114,139,
161,195,212,214,215,232,244,251,252,267,268,280,358,363,365,431,460,490,491,
514,602,605,705,732],[1,3,4,6,8,9,13,16,20,25,27,33,34,35,39,40,42,48,51,53,
64,68,70,71,87,88,94,97,102,110,114,158,165,211,212,219,222,237,244,252,256,
296,300,310,358,375,378,478,482,490,491,520,604,609,705,733],[1,2,3,5,7,9,11,
12,16,18,22,26,29,35,42,44,45,52,58,60,80,99,102,103,104,107,114,119,123,134,
151,156,161,169,172,174,223,228,232,234,246,268,286,338,362,382,391,416,417,
424,491,492,527,603,605,626,652,665,734],[1,3,4,6,7,8,10,13,16,20,25,27,33,34,
35,36,38,39,40,43,45,46,49,50,51,54,64,68,70,71,87,88,94,98,102,105,106,110,
113,118,122,132,134,135,140,148,155,157,158,159,160,168,172,211,213,216,217,
220,221,227,236,237,244,256,282,283,284,307,310,316,321,327,330,331,338,339,
340,361,373,383,384,387,389,403,482,484,490,493,494,495,505,518,525,535,600,
604,606,610,643,651,677,706,707,708,735],[1,2,3,4,5,7,8,9,10,11,12,13,14,15,
17,18,22,23,24,25,27,28,36,37,38,40,41,44,45,49,50,51,57,58,59,61,63,65,66,67,
68,69,72,85,97,98,99,100,101,107,108,109,110,111,112,115,116,118,119,120,121,
122,123,124,126,129,132,135,136,140,141,142,143,144,145,152,164,173,176,178,
179,180,182,185,213,214,216,220,222,226,243,246,248,249,250,251,254,256,257,
258,263,264,270,272,275,284,301,305,306,311,316,317,323,334,341,356,357,359,
360,361,362,366,367,368,369,370,373,377,379,381,386,388,407,408,409,410,411,
412,413,414,415,422,423,425,432,447,453,456,458,488,498,501,502,505,515,516,
531,533,537,538,539,557,558,564,574,595,596,612,613,614,615,616,617,620,621,
622,624,632,660,662,680,687,697,700,710,736],[1,2,3,4,5,6,7,8,9,10,11,12,13,
14,15,17,18,19,21,22,23,31,32,33,34,36,37,38,40,41,43,44,45,46,49,50,51,54,57,
58,59,62,67,70,73,74,75,78,79,82,91,92,97,98,99,100,101,107,108,109,110,111,
112,115,116,118,119,120,121,122,123,124,126,128,129,130,136,141,144,146,148,
149,150,152,159,160,164,167,168,173,181,183,192,201,203,204,213,214,216,217,
220,222,226,243,246,247,248,249,250,251,253,254,257,258,260,261,262,263,274,
276,279,281,282,290,293,301,310,315,319,334,342,356,357,359,360,361,362,366,
367,368,369,370,376,377,381,384,386,388,407,408,409,410,411,412,418,420,423,
428,433,436,437,438,457,459,466,477,479,488,498,501,502,504,507,516,517,525,
533,539,540,561,562,565,579,595,596,612,613,614,615,616,617,623,629,630,631,
632,661,662,682,686,688,701,710,737],[1,2,3,5,7,8,9,10,11,12,13,16,17,18,20,
22,23,26,29,30,37,38,39,41,42,44,45,47,50,52,58,59,60,64,67,76,77,80,81,83,84,
90,97,98,99,100,101,107,108,109,110,111,112,113,117,118,119,120,121,122,123,
124,125,126,127,129,134,136,137,138,139,147,152,156,157,161,164,173,174,184,
189,194,195,196,212,214,215,216,221,223,244,245,246,248,250,251,255,257,258,
259,263,265,266,267,269,271,273,277,278,286,295,297,314,327,334,344,356,357,
359,360,361,362,364,365,366,367,368,369,370,372,383,386,388,407,408,409,410,
411,412,417,419,421,423,431,434,443,445,450,461,467,468,470,486,499,500,501,
502,503,512,518,527,529,541,556,560,563,581,595,596,612,613,614,615,616,617,
619,625,627,628,632,657,658,681,684,692,703,710,738],[1,2,3,4,5,6,7,8,9,10,11,
12,14,15,18,19,20,21,22,24,27,30,31,33,36,37,39,40,42,43,44,45,47,48,49,51,52,
53,55,57,58,61,62,65,69,73,82,83,84,86,88,91,97,98,99,100,101,107,108,111,115,
116,119,123,131,133,135,139,141,144,147,154,156,157,158,159,161,162,163,165,
166,182,184,186,187,188,200,201,212,213,214,215,218,219,220,221,222,223,224,
225,226,243,246,247,249,254,259,285,286,292,301,303,304,312,318,322,325,326,
328,329,331,334,355,356,358,359,362,363,364,365,369,370,371,374,375,377,378,
380,381,385,387,390,413,428,450,481,485,486,487,488,498,500,506,508,509,510,
511,512,513,514,516,519,520,526,527,528,530,533,536,539,542,588,595,597,598,
599,618,633,634,635,637,638,641,642,646,657,659,662,663,702,711,712,713,739],[
1,2,3,4,5,6,8,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,
33,34,35,37,38,39,40,41,46,47,51,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,
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,
102,103,104,105,106,108,110,113,115,116,125,126,128,129,130,137,138,139,140,
141,143,144,146,147,148,153,154,155,158,173,174,175,176,177,178,179,180,181,
182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,
201,202,203,204,205,206,207,208,209,210,211,227,228,229,230,231,232,233,234,
235,236,237,238,239,244,248,249,251,256,259,260,261,262,264,267,271,274,275,
277,279,288,291,292,298,299,301,303,304,305,307,308,310,312,314,324,341,342,
343,344,345,346,347,348,349,350,351,352,353,354,355,391,392,393,394,395,396,
397,398,399,400,401,402,403,408,415,421,422,431,433,437,441,443,444,453,454,
462,466,469,472,474,480,481,482,490,497,543,544,545,546,547,548,549,556,558,
576,579,582,584,585,586,600,601,602,604,606,647,654,664,666,667,668,669,670,
671,672,677,715,716,717,718,719,720,721,740],[1,3,7,8,9,10,11,13,16,20,35,39,
42,45,64,97,98,99,100,101,102,110,114,118,122,134,151,157,172,212,221,223,244,
252,327,334,338,358,361,382,486,490,491,518,523,599,651,652,705,741],[1,2,3,5,
8,9,12,13,16,17,18,20,22,23,26,29,30,35,37,39,42,44,47,52,58,59,60,64,67,76,
77,80,81,83,84,90,97,102,103,104,108,110,114,119,139,147,156,161,173,174,184,
189,194,195,196,212,214,215,228,232,234,244,251,252,259,267,268,280,286,344,
358,359,363,364,365,391,408,416,431,443,449,460,490,491,500,513,514,556,559,
602,605,618,664,665,705,732,742],[1,2,3,4,5,6,7,8,10,12,13,14,15,17,18,19,21,
22,23,31,32,33,34,35,36,37,39,43,45,46,47,51,54,57,58,59,62,67,70,73,74,75,78,
79,82,91,92,98,102,103,104,105,106,107,108,110,111,118,122,128,130,139,141,
144,147,152,153,155,159,160,172,173,181,183,192,201,203,204,217,220,221,228,
229,230,231,232,233,234,236,239,243,246,247,251,259,261,282,288,291,293,298,
299,301,310,338,339,340,342,356,361,389,391,392,393,396,397,399,401,407,408,
411,428,433,436,437,480,490,492,495,504,512,516,525,546,562,579,602,603,606,
607,608,612,636,651,664,668,670,678,686,708,717,731,743],[1,2,3,5,7,8,10,12,
13,16,17,18,20,22,23,26,29,30,35,37,38,39,41,45,47,50,58,59,60,64,67,76,77,80,
81,83,84,90,98,102,103,104,107,108,110,111,113,118,122,125,126,129,134,137,
138,139,147,152,157,172,173,174,184,189,194,195,196,216,221,227,228,232,234,
235,244,246,248,251,257,259,267,271,277,314,327,338,344,356,361,383,391,394,
400,407,408,411,417,421,431,443,450,490,492,494,501,512,518,543,556,581,600,
601,602,603,612,619,651,664,667,671,674,684,707,715,731,744],[1,2,3,4,5,7,8,
10,12,13,14,15,17,18,22,23,24,25,27,28,35,36,37,39,40,45,47,49,51,57,58,59,61,
63,65,66,67,68,69,72,85,98,102,103,104,107,108,110,111,115,116,118,122,132,
135,139,141,144,147,152,154,158,172,173,176,178,179,180,182,185,213,220,221,
228,232,234,237,238,243,246,249,251,254,256,259,284,292,301,303,304,312,316,
317,338,341,356,361,387,391,395,398,407,408,411,413,414,415,422,481,490,492,
493,498,505,512,516,545,557,558,564,602,603,604,612,642,651,664,666,669,673,
680,706,719,731,745],[1,2,3,5,8,9,13,15,16,18,19,20,23,28,29,30,35,37,39,42,
44,47,52,59,60,63,64,65,76,77,79,81,82,84,97,102,103,104,110,114,115,131,139,
141,161,162,175,180,183,187,191,195,205,212,214,215,232,238,244,251,252,267,
268,280,304,328,348,358,363,365,377,385,395,422,431,433,446,460,465,490,491,
508,509,514,570,582,602,605,637,666,675,705,732,746],[1,2,3,4,5,6,8,9,13,14,
16,18,20,21,23,24,25,27,29,30,31,32,33,34,35,37,39,40,42,44,47,48,51,52,53,59,
60,61,64,66,68,70,71,72,73,74,76,77,81,84,86,87,88,89,92,93,94,95,97,102,103,
104,110,114,116,133,139,144,154,158,161,163,165,166,176,177,181,186,195,197,
199,208,209,210,211,212,214,215,219,222,232,237,244,251,252,256,267,268,280,
296,300,303,310,329,345,358,363,365,371,374,375,378,380,381,398,415,431,437,
440,448,460,473,474,478,482,490,491,510,511,514,520,536,576,583,602,604,605,
609,635,669,676,705,732,733,747],[1,2,3,5,6,7,9,11,12,16,18,19,21,22,25,26,28,
29,31,33,35,42,43,44,45,48,52,53,55,58,60,62,63,66,73,80,82,91,94,95,96,99,
102,103,104,107,114,119,123,131,132,133,134,151,156,159,161,162,163,165,166,
169,172,174,179,197,198,201,205,206,218,223,224,228,232,234,237,238,246,247,
268,285,286,296,318,321,322,325,326,328,329,332,333,338,346,362,382,390,391,
395,398,414,416,417,424,428,446,448,485,491,492,493,506,519,522,527,545,568,
577,594,603,605,609,626,646,652,665,673,675,676,696,709,723,734,748],[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,
32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,54,57,58,59,60,61,62,
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,
89,90,91,92,93,94,95,96,97,98,99,100,101,107,108,109,110,111,112,113,115,116,
117,118,119,120,121,122,123,124,125,126,127,128,129,130,132,134,135,136,137,
138,139,140,141,142,143,144,145,146,147,148,149,150,152,153,154,155,156,157,
158,159,160,161,164,167,168,173,174,175,176,177,178,179,180,181,182,183,184,
185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,
204,205,206,207,208,209,210,211,212,213,214,215,216,217,220,221,222,223,226,
243,244,245,246,247,248,249,250,251,253,254,255,256,257,258,259,260,261,262,
263,264,265,266,267,269,270,271,272,273,274,275,276,277,278,279,281,282,283,
284,286,287,288,289,290,291,292,293,294,295,297,298,299,301,302,303,304,305,
306,307,308,309,310,311,312,313,314,315,316,317,319,320,321,323,324,327,330,
331,334,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,
359,360,361,362,364,365,366,367,368,369,370,372,373,374,376,377,378,379,381,
383,384,386,387,388,389,407,408,409,410,411,412,413,414,415,417,418,419,420,
421,422,423,425,426,427,428,429,430,431,432,433,434,435,436,437,438,439,441,
442,443,444,445,447,450,451,452,453,454,455,456,457,458,459,461,462,463,464,
466,467,468,469,470,471,472,474,475,476,477,479,480,481,482,483,484,486,488,
497,498,499,500,501,502,503,504,505,507,508,511,512,515,516,517,518,521,525,
526,527,529,531,532,533,534,535,537,538,539,540,541,555,556,557,558,560,561,
562,563,564,565,567,569,572,574,575,576,577,578,579,580,581,582,584,585,586,
587,588,589,590,591,592,593,595,596,597,612,613,614,615,616,617,619,620,621,
622,623,624,625,627,628,629,630,631,632,634,636,639,640,642,643,645,653,654,
655,657,658,660,661,662,680,681,682,683,684,685,686,687,688,689,691,692,693,
694,695,697,698,700,701,703,710,711,714,726,728,729,736,737,738,749],[1,2,3,5,
7,9,11,12,13,16,17,18,20,22,23,26,29,30,42,44,45,52,56,58,59,60,64,67,76,77,
80,81,83,84,90,99,107,112,114,118,119,123,134,136,151,156,157,161,164,169,170,
173,174,184,189,194,195,196,223,240,241,242,246,252,255,258,268,280,286,295,
327,335,344,362,368,382,404,407,410,416,417,423,424,449,450,460,468,470,496,
523,527,541,550,551,552,559,563,581,616,626,648,679,690,703,704,725,730,750],[
1,3,4,6,7,8,9,10,11,13,16,20,25,27,33,34,35,36,39,40,42,43,45,48,49,51,53,55,
64,68,70,71,87,88,94,97,98,99,100,101,102,110,114,118,122,132,134,135,151,157,
158,159,160,165,172,211,212,213,218,219,220,221,222,223,224,225,226,237,244,
252,256,282,283,284,296,300,310,316,321,327,330,331,333,334,338,358,361,375,
378,382,387,390,478,482,484,486,487,488,490,491,493,505,518,520,522,523,524,
525,597,598,599,604,609,643,644,651,652,663,705,706,709,733,741,751],[1,3,8,9,
13,16,20,35,38,39,42,56,64,97,102,109,110,112,113,114,117,212,227,240,244,245,
252,255,357,358,490,491,499,600,648,705,752],[1,2,3,4,5,6,7,8,10,12,13,14,15,
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,
43,45,46,47,49,50,51,54,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,
75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,98,102,103,
104,105,106,107,108,110,111,113,115,116,118,122,125,126,128,129,130,132,134,
135,137,138,139,140,141,143,144,146,147,148,152,153,154,155,157,158,159,160,
168,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,
190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,
209,210,211,213,216,217,220,221,227,228,229,230,231,232,233,234,235,236,237,
238,239,243,244,246,247,248,249,251,254,256,257,259,260,261,262,264,267,271,
274,275,277,279,282,283,284,288,291,292,293,298,299,301,303,304,305,307,308,
310,312,314,316,317,321,324,327,330,331,338,339,340,341,342,343,344,345,346,
347,348,349,350,351,352,353,354,355,356,361,373,383,384,387,389,391,392,393,
394,395,396,397,398,399,400,401,402,403,407,408,411,413,414,415,417,421,422,
428,431,433,436,437,441,443,444,450,453,454,462,466,469,472,474,479,480,481,
482,484,490,492,493,494,495,497,498,501,504,505,512,516,518,525,535,543,544,
545,546,547,548,549,555,556,557,558,562,564,576,577,579,580,581,582,584,585,
586,588,600,601,602,603,604,606,607,608,610,612,619,621,630,636,642,643,647,
651,653,654,664,666,667,668,669,670,671,672,673,674,677,678,680,684,686,691,
706,707,708,715,716,717,718,719,720,721,722,729,731,735,740,743,744,745,753],[
1,2,3,4,5,6,8,9,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,
32,33,34,35,37,39,40,42,44,47,48,51,52,53,57,58,59,60,61,62,63,64,65,66,67,68,
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,
95,96,97,102,103,104,108,110,114,115,116,119,131,133,139,141,144,147,154,156,
158,161,162,163,165,166,173,174,175,176,177,178,179,180,181,182,183,184,185,
186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,
205,206,207,208,209,210,211,212,214,215,219,222,228,232,234,237,238,244,249,
251,252,256,259,267,268,280,285,286,292,296,300,301,303,304,310,312,322,325,
326,328,329,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,358,
359,363,364,365,371,374,375,377,378,380,381,385,391,395,398,408,415,416,422,
431,433,437,440,443,446,448,449,460,465,473,474,478,481,482,485,490,491,497,
500,508,509,510,511,513,514,520,526,528,530,533,536,545,556,558,559,566,568,
570,571,573,576,579,582,583,585,586,602,604,605,609,618,633,634,635,637,638,
641,654,656,664,665,666,669,675,676,702,705,719,723,732,733,742,746,747,754],[
1,2,3,5,7,8,9,10,11,12,13,16,17,18,20,22,23,26,29,30,35,37,39,42,44,45,47,52,
58,59,60,64,67,76,77,80,81,83,84,90,97,98,99,100,101,102,103,104,107,108,110,
111,114,118,119,122,123,134,139,147,151,152,156,157,161,169,172,173,174,184,
189,194,195,196,212,214,215,221,223,228,232,234,244,246,251,252,259,267,268,
280,286,327,334,338,344,356,358,359,361,362,363,364,365,369,370,382,391,407,
408,411,416,417,424,431,443,449,450,460,486,490,491,492,500,512,513,514,518,
523,527,556,559,581,595,599,602,603,605,612,618,626,651,652,657,664,665,684,
690,705,713,731,732,734,741,742,755],[1,2,3,5,8,9,13,16,18,20,23,29,30,35,37,
38,39,41,42,44,47,52,56,59,60,64,76,77,81,84,97,102,103,104,109,110,112,113,
114,117,124,125,126,127,138,139,161,170,195,212,214,215,227,232,235,240,244,
245,250,251,252,255,258,265,266,267,268,273,277,278,280,295,357,358,363,365,
400,404,431,445,460,470,490,491,499,502,503,514,600,601,602,605,628,648,671,
704,705,732,752,756],[1,3,4,6,8,9,13,16,20,25,27,33,34,35,38,39,40,42,46,48,
51,53,56,64,68,70,71,87,88,94,97,102,105,106,109,110,112,113,114,117,140,142,
148,150,155,158,165,171,211,212,219,222,227,236,237,240,244,245,252,253,255,
256,289,294,296,300,302,307,310,311,357,358,375,378,403,406,478,482,483,490,
491,499,515,517,520,600,604,606,609,639,648,677,705,733,752,757],[1,3,7,8,9,
10,11,13,16,20,35,38,39,42,45,50,56,64,97,98,99,100,101,102,109,110,112,113,
114,117,118,121,122,134,136,151,157,172,212,216,221,223,227,240,241,242,244,
245,252,255,327,334,338,357,358,360,361,366,367,368,372,382,383,386,486,490,
491,494,496,499,518,523,529,541,596,599,600,648,651,652,658,705,707,725,741,
752,758],[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,
26,27,28,29,30,31,32,33,34,35,36,37,39,40,42,43,44,45,47,48,49,51,52,53,55,57,
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,
84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,107,108,
110,111,114,115,116,118,119,122,123,131,132,133,134,135,139,141,144,147,151,
152,154,156,157,158,159,160,161,162,163,165,166,169,172,173,174,175,176,177,
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,
218,219,220,221,222,223,224,225,226,228,232,234,237,238,243,244,246,247,249,
251,252,254,256,259,267,268,280,282,283,284,285,286,292,296,300,301,303,304,
310,312,316,317,318,321,322,325,326,327,328,329,330,331,332,333,334,338,341,
342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,358,359,361,362,
363,364,365,369,370,371,374,375,377,378,380,381,382,385,387,390,391,395,398,
407,408,411,413,414,415,416,417,422,424,428,431,433,436,437,440,443,446,448,
449,450,460,465,473,474,478,481,482,484,485,486,487,488,490,491,492,493,497,
498,500,505,506,508,509,510,511,512,513,514,516,518,519,520,522,523,524,525,
526,527,528,530,533,536,539,542,545,555,556,557,558,559,562,564,566,568,570,
571,573,576,577,579,580,581,582,583,585,586,588,594,595,597,598,599,602,603,
604,605,609,612,618,626,633,634,635,637,638,641,642,643,644,646,651,652,653,
654,656,657,659,662,663,664,665,666,669,673,675,676,680,684,686,690,696,699,
702,705,706,709,711,712,713,719,723,727,729,731,732,733,734,739,741,742,745,
746,747,748,751,754,755,759],[1,2,3,5,8,9,12,13,16,17,18,20,22,23,26,29,30,35,
37,38,39,41,42,44,47,52,56,58,59,60,64,67,76,77,80,81,83,84,90,97,102,103,104,
108,109,110,112,113,114,117,119,120,124,125,126,127,129,137,138,139,147,156,
161,170,173,174,184,189,194,195,196,212,214,215,227,228,232,234,235,240,244,
245,248,250,251,252,255,258,259,263,265,266,267,268,269,271,273,277,278,280,
286,295,297,314,335,344,357,358,359,363,364,365,391,394,400,404,408,409,410,
416,419,421,431,434,443,445,449,460,461,467,468,470,490,491,499,500,502,503,
513,514,543,550,556,559,560,563,600,601,602,605,614,618,627,628,648,664,665,
667,671,681,704,705,715,730,732,742,752,756,760],[1,2,3,5,8,9,13,15,16,18,19,
20,23,28,29,30,35,37,38,39,41,42,44,47,52,56,59,60,63,64,65,76,77,79,81,82,84,
97,102,103,104,109,110,112,113,114,115,117,124,125,126,127,128,131,138,139,
141,145,161,162,170,175,180,183,187,191,195,205,212,214,215,227,231,232,233,
235,238,240,244,245,250,251,252,255,258,264,265,266,267,268,272,273,274,276,
277,278,280,288,295,304,328,336,348,357,358,363,365,377,385,395,400,401,404,
418,422,431,432,433,439,442,445,446,454,460,464,465,470,490,491,499,502,503,
508,509,514,544,553,570,582,590,600,601,602,605,620,628,631,637,648,666,668,
671,675,698,704,705,721,732,746,752,756,761],[1,2,3,4,5,6,8,9,13,14,16,18,20,
21,23,24,25,27,29,30,31,32,33,34,35,37,38,39,40,41,42,44,46,47,48,51,52,53,56,
59,60,61,64,66,68,70,71,72,73,74,76,77,81,84,86,87,88,89,92,93,94,95,97,102,
103,104,105,106,109,110,112,113,114,116,117,124,125,126,127,130,133,138,139,
140,142,143,144,146,148,149,150,153,154,155,158,161,163,165,166,170,171,176,
177,181,186,195,197,199,208,209,210,211,212,214,215,219,222,227,229,230,232,
235,236,237,239,240,244,245,250,251,252,253,255,256,258,260,265,266,267,268,
270,273,275,277,278,280,281,287,289,290,291,294,295,296,300,302,303,306,307,
308,309,310,311,313,324,329,337,345,357,358,363,365,371,374,375,378,380,381,
398,399,400,402,403,404,406,415,420,426,430,431,437,440,444,445,448,451,456,
460,470,471,473,474,475,476,478,482,483,490,491,499,502,503,510,511,514,515,
517,520,536,549,554,567,576,583,600,601,602,604,605,606,609,622,623,628,635,
639,640,648,669,670,671,672,676,677,689,704,705,720,732,733,747,752,756,757,
762],[1,3,4,6,7,8,9,10,11,13,16,20,25,27,33,34,35,36,38,39,40,42,43,45,46,48,
49,50,51,53,54,55,56,64,68,70,71,87,88,94,97,98,99,100,101,102,105,106,109,
110,112,113,114,117,118,121,122,132,134,135,136,140,142,148,150,151,155,157,
158,159,160,165,167,168,171,172,211,212,213,216,217,218,219,220,221,222,223,
224,225,226,227,236,237,240,241,242,244,245,252,253,255,256,282,283,284,289,
294,296,300,302,307,310,311,316,319,321,327,330,331,333,334,338,339,340,357,
358,360,361,366,367,368,372,373,375,376,378,379,382,383,384,386,387,389,390,
403,405,406,478,482,483,484,486,487,488,490,491,493,494,495,496,499,505,507,
515,517,518,520,521,522,523,524,525,529,531,532,534,535,537,540,541,596,597,
598,599,600,604,606,609,610,611,639,643,644,645,648,651,652,658,660,661,663,
677,705,706,707,708,709,714,725,733,735,741,751,752,757,758,763],[1,2,3,4,5,6,
8,9,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,
37,38,39,40,41,42,44,46,47,48,51,52,53,56,57,58,59,60,61,62,63,64,65,66,67,68,
69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,
95,96,97,102,103,104,105,106,108,109,110,112,113,114,115,116,117,119,120,124,
125,126,127,128,129,130,131,133,137,138,139,140,141,142,143,144,145,146,147,
148,149,150,153,154,155,156,158,161,162,163,165,166,170,171,173,174,175,176,
177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,
196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,214,215,
219,222,227,228,229,230,231,232,233,234,235,236,237,238,239,240,244,245,248,
249,250,251,252,253,255,256,258,259,260,261,262,263,264,265,266,267,268,269,
270,271,272,273,274,275,276,277,278,279,280,281,285,286,287,288,289,290,291,
292,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,
312,313,314,315,320,322,323,324,325,326,328,329,335,336,337,341,342,343,344,
345,346,347,348,349,350,351,352,353,354,355,357,358,359,363,364,365,371,374,
375,377,378,380,381,385,391,392,393,394,395,396,397,398,399,400,401,402,403,
404,406,408,409,410,415,416,418,419,420,421,422,425,426,427,429,430,431,432,
433,434,435,437,438,439,440,441,442,443,444,445,446,447,448,449,451,452,453,
454,455,456,457,458,459,460,461,462,463,464,465,466,467,468,469,470,471,472,
473,474,475,476,478,480,481,482,483,485,489,490,491,497,499,500,502,503,508,
509,510,511,513,514,515,517,520,526,528,530,533,536,543,544,545,546,547,548,
549,550,553,554,556,558,559,560,561,563,566,567,568,569,570,571,572,573,574,
575,576,578,579,582,583,584,585,586,587,589,590,591,592,593,600,601,602,604,
605,606,609,614,618,620,622,623,627,628,631,633,634,635,637,638,639,640,641,
647,648,650,654,655,656,664,665,666,667,668,669,670,671,672,675,676,677,681,
683,688,689,693,697,698,702,704,705,715,716,717,718,719,720,721,723,726,730,
732,733,740,742,746,747,752,754,756,757,760,761,762,764],[1,2,3,5,7,8,9,10,11,
12,13,16,17,18,20,22,23,26,29,30,35,37,38,39,41,42,44,45,47,50,52,56,58,59,60,
64,67,76,77,80,81,83,84,90,97,98,99,100,101,102,103,104,107,108,109,110,111,
112,113,114,117,118,119,120,121,122,123,124,125,126,127,129,134,136,137,138,
139,147,151,152,156,157,161,164,169,170,172,173,174,184,189,194,195,196,212,
214,215,216,221,223,227,228,232,234,235,240,241,242,244,245,246,248,250,251,
252,255,257,258,259,263,265,266,267,268,269,271,273,277,278,280,286,295,297,
314,327,334,335,338,344,356,357,358,359,360,361,362,363,364,365,366,367,368,
369,370,372,382,383,386,388,391,394,400,404,407,408,409,410,411,412,416,417,
419,421,423,424,431,434,443,445,449,450,460,461,467,468,470,486,490,491,492,
494,496,499,500,501,502,503,512,513,514,518,523,527,529,541,543,550,551,552,
556,559,560,563,581,595,596,599,600,601,602,603,605,612,613,614,615,616,617,
618,619,625,626,627,628,632,648,651,652,657,658,664,665,667,671,674,679,681,
684,690,692,703,704,705,707,710,713,715,725,730,731,732,734,738,741,742,744,
750,752,755,756,758,760,765],[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]],
0,[[1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,3,1],[1,
3,1],[1,1,2,1],[1,1,1],[1,3,1],[1,3,1],[1,1,1,1,1],[1,1,1],[1,1,1],[1,1,2,1],[
1,1,2,1],[1,1,2,1],[1,2,1,1],[1,1,1],[1,3,1],[1,1,2,1],[1,1,1],[1,1,2,1],[1,1,
1],[1,1,2,1],[1,1,1,1,1],[1,1,2,1],[1,1,1,1,1],[1,1],[1,3,1,1],[1,1,1,1],[1,1,
1,1],[1,3,1,1],[1,3,1,1],[1,1,1,1],[1,3,1,1],[1,3,1,1],[1,1,1,1],[1,1,1,1],[1,
3,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,1,1,1],[1,1,1,1],[1,3,1,1],[1,1,1,1],[
1,3,1,1],[1,3,1,1],[1,1],[1,3,2,1,1,1,1],[1,3,1,3,1,3,3,1],[1,1,3,3,1,3,3,1],[
1,1,3,3,1,3,3,1],[1,1,1,4,1,2,1,2,2,1],[1,3,2,1,1,1,1],[1,1,1,1,1,2,1],[1,5,1,
1,1,1],[1,1,1,1,2,1,1],[1,1,1,1,1,2,1],[1,1,1,5,2,1,2,2,1],[1,3,2,1,1,1,1],[1,
1,2,2,1,1,1,1],[1,3,1,3,1,3,3,1],[1,3,3,1,1,3,3,1],[1,1,2,2,1,1,1,1],[1,1,1,1,
4,1,2,2,2,1],[1,1,1,2,1,2,1,1,1,2,2,1],[1,1,2,2,1,1,1,1],[1,3,2,1,1,1,1],[1,3,
2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,1,1,1,1,1,1],[1,1,1,5,1,2,2,2,1],[1,1,4,1,1,
1,1],[1,1,1,1,1,2,1],[1,1,1,1,1,2,1],[1,1,1,1,1,1,1,1],[1,2,3,1,1,1,1],[1,1,2,
2,1,1,1,1],[1,1,1,1,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,1,1,1,1,1,1],[1,1,4,1,1,1,
1],[1,1,2,2,1,1,1,1],[1,1,1,2,3,1,2,2,1,1,1],[1,1,3,2,1,2,1,1,2,1,1],[1,3,2,1,
1,1,1],[1,1,2,2,1,1,1,1],[1,3,2,1,1,1,1],[1,2,2,1],[1,1,1,2,1],[1,1,1,2,1],[1,
1,2,1,1],[1,1,1,2,1],[1,5,1,1],[1,5,1,1],[1,1,1,1],[1,1,1,1],[1,5,1,1],[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],[1,1,1,3,1,1],[1,1,6,1,3,1,2,1],[1,1,1,3,1,1],[1,3,1,1,3,
1],[1,3,1,1,3,1],[1,3,1,1,3,1],[1,3,1,1,3,1],[1,3,4,1,1],[1,3,4,1,1],[1,1,2,1,
1,1,2,1],[1,1,6,1,3,1,2,1],[1,1,1,1,1,1,1,1,1,1],[1,1,1,3,1,1],[1,1,1,3,1,1],[
1,1,2,1,1,1,2,1],[1,1,6,1,3,1,2,1],[1,1,1,3,1,1],[1,1,1,3,1,1],[1,1,6,1,3,1,2,
1],[1,3,1,1,3,1],[1,1,6,1,3,2,1,1],[1,3,4,1,1],[1,7,1,3,1,2,1],[1,3,4,1,3,1,1,
1,1],[1,1,3,3,1,3,1,1,1,1],[1,1,2,1,1,1,2,1],[1,1,1,1,1,1],[1,1,1,1,1,1],[1,2,
1,1,1,1,2,1],[1,1,2,1,1,1,2,1],[1,1,1,1,1,1],[1,3,1,3,1,3,1,1,1,1],[1,1,6,1,3,
1,2,1],[1,1,3,3,1,3,1,1,1,1],[1,1,6,1,3,1,2,1],[1,1,6,1,3,1,2,1],[1,3,4,1,1],[
1,3,4,1,1],[1,1,3,3,1,3,1,1,1,1],[1,4,3,1,3,1,1,1,1],[1,3,1,3,1,3,1,1,1,1],[1,
1,6,1,3,1,2,1],[1,1,1,1,1,1],[1,3,4,1,3,1,1,1,1],[1,1,6,1,3,2,1,1],[1,1,3,3,1,
3,1,1,1,1],[1,1,3,3,1,3,1,1,1,1],[1,1,1,1,1,1],[1,1,2,1,1,1,2,1],[1,3,4,1,1],[
1,3,4,1,3,1,1,1,1],[1,3,4,1,3,1,1,1,1],[1,1,6,1,3,1,2,1],[1,1,3,3,1,3,1,1,1,
1],[1,3,4,1,1],[1,1,1,1],[1,7,1,1],[1,1,1,1],[1,3,3,9,1,1,6,9,9,9,3,3,9,1],[1,
3,3,9,1,1,9,9,6,9,3,3,9,1],[1,1,3,3,3,1,3,1,3,1,3,3,1],[1,1,3,4,3,1,2,3,3,2,2,
2,1,1,1,2,2,1],[1,1,3,6,3,2,3,1,3,1,6,6,3,6,6,1,3,2,3,6,1],[1,1,1,4,5,2,2,1,2,
2,2,2,2,1,1,1,4,1],[1,3,1,3,1,3,3,2,2,1,1,1,1],[1,1,3,3,1,2,3,3,2,1,1,1,1],[1,
1,3,2,3,6,1,1,3,3,3,6,6,6,6,1,2,3,3,6,1],[1,3,1,4,3,1,2,2,3,3,2,2,2,1,1,1,2,
1],[1,1,3,3,1,1,3,3,3,1,3,3,1],[1,3,1,3,1,3,1,3,3,1,3,3,1],[1,1,1,5,2,2,1,2,2,
2,1,1,1,1],[1,1,1,4,1,4,2,1,1,2,2,2,1,2,2,1,1,1,2,2,1],[1,1,1,1,2,1,2,1,1,1,1,
1,1],[1,1,1,4,1,2,1,2,2,2,2,1,1,1,1],[1,1,3,7,1,3,2,3,2,2,2,1,2,1,1,2,1],[1,1,
1,2,1,2,1,1,1,2,2,2,2,1,1,1,1],[1,1,1,1,1,1,1,1,2,1,1,1,1,1],[1,1,1,5,4,1,2,1,
1,2,2,2,2,2,1,1,2,1,2,1],[1,1,1,4,5,2,1,1,1,2,2,2,2,2,1,2,2,1,1,1],[1,1,3,7,1,
2,3,2,2,3,2,1,1,2,1,2,1],[1,1,5,5,1,1,5,1,3,3,1,1,1,1,1,1,1,1,1],[1,1,1,9,2,1,
1,4,2,2,2,1,1,1,2,1,2,1],[1,1,3,3,4,1,3,2,2,3,2,2,1,1,1,2,2,1],[1,1,1,5,4,1,2,
2,2,2,2,2,2,1,1,1,4,1],[1,1,1,2,1,2,1,1,1,1,2,1,2,2,1,1,1,2,2,1],[1,1,1,1,4,2,
1,2,2,2,2,1,1,1,1],[1,3,1,3,4,1,3,2,2,3,2,2,1,2,1,1,2,1],[1,1,1,2,5,2,1,2,1,1,
2,2,2,2,2,1,2,1,2,1,1],[1,3,1,2,3,2,1,1,1,3,1,1,3,2,2,1,1,1,1,1,1,1,1],[1,1,1,
2,5,2,1,2,1,2,1,2,2,2,2,1,1,2,1,2,1],[1,1,3,3,1,3,2,2,3,1,1,1,1],[1,1,1,5,1,2,
2,2,2,2,1,1,1,1],[1,1,1,1,1,1,1,2,2,1,1,1,1],[1,3,3,2,3,1,2,1,1,1,1,2,3,3,1,1,
1,1,1,1,1,1],[1,3,3,2,3,1,1,1,3,1,2,2,1,3,1,1,1,1,1,1,1,1],[1,1,3,4,3,1,1,2,1,
1,1,2,4,1,1,1,1,1,1,1,1,1,1],[1,5,3,3,1,1,1,1,3,3,5,1,1,1,1,1,1,1,1],[1,9,2,2,
6,6,1,1],[1,9,1,1,2,3,3,6,1,1],[1,1,2,2,2,2,1,1],[1,9,2,2,6,6,1,1],[1,1,1,1,2,
1,1,2,1,1],[1,9,1,1,2,3,3,6,1,1],[1,9,1,1,2,3,3,6,1,1],[1,3,2,2,1,3,1,1],[1,3,
1,1,2,1,3,1,1],[1,3,1,1,2,1,3,1,1],[1,3,2,2,1,3,1,1],[1,3,1,1,2,1,3,1,1],[1,3,
1,1,2,1,3,1,1],[1,3,1,2,1,3,1,1,1],[1,3,1,1,2,1,3,1,1],[1,5,5,1,1,1],[1,3,1,1,
3,1],[1,1,2,1,1,1,2,1],[1,1,10,5,1,1,2,1],[1,1,1,1,1,1],[1,1,5,5,5,1,1,1,1,
1],[1,1,5,1,1,1],[1,1,10,5,1,2,1,1],[1,5,5,1,1,1],[1,5,1,5,5,1,1,1,1,1],[1,5,
5,1,1,1],[1,5,5,1,1,1],[1,1,5,5,5,1,1,1,1,1],[1,7,1,1],[1,1,1,1],[1,7,1,1],[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],[1,3,1,
3,4,1,3,3,4,1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,1,3,1,1,3,3,3,1,3,1,1,3,3,1],[
1,3,6,1,1,3,3,3,2,3,1,1,1,1],[1,1,3,3,1,1,3,3,1,3,3,1,1,3,3,1],[1,1,3,3,4,1,3,
3,4,1,1,1],[1,9,4,3,1,3,4,3,1,1],[1,3,3,9,1,1,9,9,3,1,3,3,1,3,3,1],[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],[1,3,1,3,4,1,3,3,4,
1,1,1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,3,3,9,1,1,9,9,3,1,3,3,1,3,3,1],[1,1,1,6,1,
6,1,3,1,3,6,6,1,1,2,1,2,3,1,1,1,2,2,1],[1,3,6,1,1,3,3,3,2,3,1,1,1,1],[1,1,6,2,
1,3,3,1,1,2,2,3,1,1,1,1],[1,1,1,5,1,2,1,2,2,1,1,5,1,2,2,1,2,1],[1,1,1,1,1,2,1,
1,1,1,1,1,2,1],[1,3,6,1,1,3,3,3,2,3,1,1,1,1],[1,1,8,1,3,1,3,1,2,2,3,1,1,1,1],[
1,3,6,4,1,3,3,4,3,1,1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,1,1,1,1,1,6,1,1,1,3,1,2,
1],[1,1,1,1,1,1,2,1,1,1,1,1,2,1],[1,1,1,13,1,1,6,6,6,1,1,1,4,3,2,1,2,2,1],[1,
1,1,1,1,1,2,1,1,1,1,1,2,1],[1,7,2,1,3,1,3,1,2,2,3,1,1,1,1],[1,1,1,1,1,3,1,3,1,
1,1,3,1,1,1,1],[1,1,1,4,1,1,2,1,2,2,1,1,1,4,1,1,2,2,2,1],[1,1,1,1,1,1,6,1,1,1,
3,1,2,1],[1,1,7,7,1,3,7,9,1,1,2,1,2,3,1,1,1,2,2,1],[1,1,1,1,1,1,3,3,1,1,1,3,1,
1,1,1],[1,1,2,6,1,3,3,1,1,2,2,3,1,1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,1,1,1,12,
1,1,6,6,6,1,1,1,4,3,1,2,2,2,1],[1,3,3,9,1,1,9,9,1,3,3,3,1,3,3,1],[1,3,9,3,1,1,
9,9,3,1,3,3,1,3,3,1],[1,3,6,1,1,3,3,2,3,3,1,1,1,1],[1,3,6,1,1,3,3,3,2,3,1,1,1,
1],[1,3,3,9,1,1,9,9,1,3,3,3,1,3,3,1],[1,1,2,6,1,1,3,3,1,2,2,3,1,1,1,1],[1,1,3,
3,1,1,3,3,1,1,1,3,1,1,1,1],[1,1,2,6,1,3,1,3,1,2,2,3,1,1,1,1],[1,1,3,2,9,1,1,6,
6,3,3,1,1,2,3,3,1,2,1,2,1,1],[1,1,3,2,3,6,1,1,3,3,6,6,1,1,2,1,2,3,1,1,1,2,2,
1],[1,1,2,6,1,1,3,3,1,2,2,3,1,1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,7,6,1,3,1,3,1,
2,2,3,1,1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,1,8,1,1,3,3,
1,2,2,3,1,1,1,1],[1,1,2,6,1,1,3,3,1,2,2,3,1,1,1,1],[1,1,6,6,1,1,3,3,1,2,2,3,1,
1,1,1],[1,3,3,1,4,1,3,3,4,1,1,1],[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],[1,1,3,8,3,1,4,3,6,6,1,1,2,1,2,3,1,1,1,2,2,1],[1,1,3,3,1,4,
3,1,1,1,3,1,1,1,1],[1,1,2,2,1,1,1,1,1,2,2,1,1,1,1,1],[1,1,2,2,1,1,1,1,1,2,2,1,
1,1,1,1],[1,7,5,3,1,3,7,9,1,2,1,1,2,3,1,1,1,2,2,1],[1,1,5,6,3,1,6,1,3,6,3,1,1,
1,2,2,3,1,1,1,2,2,1],[1,1,6,6,1,1,3,3,1,2,2,3,1,1,1,1],[1,3,1,3,4,1,3,3,4,1,1,
1],[1,3,2,1,1,1,1,3,2,1,1,1,1,1],[1,1,6,6,1,3,1,3,1,2,2,3,1,1,1,1],[1,1,3,3,1,
1,3,3,1,1,1,3,1,1,1,1],[1,1,3,11,1,3,4,6,6,1,1,2,3,3,1,2,2,1,1,1],[1,1,2,6,1,
3,3,1,1,2,2,3,1,1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,6,3,4,1,3,3,4,3,1,1],[1,3,6,
4,1,3,3,4,3,1,1],[1,3,3,9,1,1,9,9,1,3,3,3,1,3,3,1],[1,7,6,1,3,1,3,1,2,2,3,1,1,
1,1],[1,3,6,1,1,3,3,2,3,3,1,1,1,1],[1,1,6,2,1,3,1,3,1,2,2,3,1,1,1,1],[1,2,3,1,
1,1,1,3,2,1,1,1,1,1],[1,3,5,4,3,1,4,3,3,6,3,1,1,1,1,1,2,3,1,1,1,1,1,1,1,1],[1,
1,6,6,1,1,3,3,1,2,2,3,1,1,1,1],[1,3,2,1,1,1,1,3,2,1,1,1,1,1],[1,5,1,1,1,1,5,1,
1,1,1,1],[1,1,3,3,1,3,4,1,1,1,3,1,1,1,1],[1,1,3,3,8,1,3,4,6,6,1,1,2,1,2,3,1,1,
1,2,2,1],[1,1,3,3,1,1,3,3,1,1,1,3,1,1,1,1],[1,1,6,6,1,1,3,3,2,2,1,3,1,1,1,1],[
1,3,6,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,1,2,2,4,4,1,2,2,4,4,1],[1,3,
1,1,3,1],[1,1,7,1,1,1],[1,1,14,7,1,1,2,1],[1,5,1,1,5,1,1,1],[1,15,1,1,5,3,1,
1],[1,3,1,1,1,3,1,1],[1,3,3,4,9,1,1,2,2,6,9,9,9,2,2,2,2,2,3,3,1,1,1,1,9,2,2,2,
4,1,1,1,1,1,1,1,1],[1,3,3,2,9,6,1,1,1,1,6,9,3,3,9,9,6,6,6,6,1,3,3,3,9,2,3,3,3,
3,3,3,6,6,1,1,1,3,3,3,3,1],[1,3,3,6,9,2,1,3,3,1,9,1,1,9,6,6,6,9,6,6,3,3,3,3,1,
3,6,2,3,3,3,3,9,6,1,1,1,3,3,3,3,1],[1,3,5,15,1,1,1,6,15,1,15,9,6,9,3,5,3,3,1,
9,3,3,9,3,3,3,6,1,1,1,3,3,3,3,1],[1,1,5,6,5,6,1,3,1,5,1,3,3,6,2,6,3,1,6,10,6,
10,1,1,3,1,1,2,2,2,2,3,5,1,1,1,1,2,2,2,2,6,6,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,
3,3,9,4,1,1,9,2,2,9,2,6,2,9,2,2,3,3,2,1,1,1,9,1,2,2,2,4,1,1,1,1,1,1,1,1],[1,1,
3,2,7,6,1,1,2,3,3,2,3,2,2,2,2,6,6,6,6,1,1,1,2,2,3,3,2,2,1,1,2,6,4,1,1,1,1,1,1,
1,1],[1,1,5,5,1,3,1,5,3,1,3,2,3,1,1,1,1,1,3,1,1,5,1,3,1,1,1,1,1,1,1,1,1],[1,1,
3,7,4,3,1,2,3,1,2,2,2,2,3,2,2,2,1,3,1,1,1,2,2,3,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,
1,1,2,9,2,1,2,2,1,2,1,1,4,2,2,2,2,1,2,2,1,1,1,2,1,2,2,1,2,1,1,2,2,2,2,1,1,1,1,
1,1,1,1],[1,3,1,2,3,2,1,1,1,3,1,1,1,3,2,2,3,2,2,1,1,1,1,1,1,1,1,1,3,3,2,2,1,1,
1,1,1,1,1,1],[1,1,1,4,9,4,2,1,2,1,1,1,2,4,2,2,2,2,2,2,1,2,2,1,1,1,2,1,2,2,1,1,
2,1,4,2,2,2,2,4,1,1,1,1,1,1,1,1],[1,1,3,6,7,2,3,1,2,3,2,1,2,2,6,6,2,3,2,6,6,1,
3,1,1,2,3,2,2,1,1,4,2,2,6,1,1,1,1,1,1,1,1],[1,1,3,4,7,1,2,1,3,3,2,3,2,2,2,2,2,
2,1,1,1,2,2,2,2,2,3,1,3,1,2,1,1,1,1,1,1,1,1],[1,3,1,4,3,4,1,2,2,3,2,1,2,3,2,2,
3,2,2,2,1,1,2,1,2,1,1,3,3,2,2,2,1,1,1,1,1,1,1,1],[1,3,4,1,8,1,3,4,1,1,2,1],[1,
3,5,8,1,3,4,1,1,2,1],[1,9,2,2,9,6,6,1,1,1],[1,3,2,2,1,6,6,1,2,2,3,1],[1,3,1,1,
2,1,3,3,6,1,1,1,2,3,1],[1,3,1,4,8,1,3,4,1,1,2,1],[1,3,4,1,8,1,3,4,1,1,2,1],[1,
9,2,2,9,6,6,1,1,1],[1,1,18,2,2,9,2,2,12,12,1,6,6,1,2,1],[1,1,9,9,2,2,9,2,6,6,
2,6,6,1,6,6,1,1,1,1],[1,3,1,4,8,1,3,4,1,1,2,1],[1,3,4,1,8,1,3,4,1,1,2,1],[1,3,
1,4,8,1,3,4,1,1,2,1],[1,3,1,8,4,1,3,4,2,1,1,1],[1,3,1,4,8,1,3,4,1,1,2,1],[1,9,
6,2,2,9,6,2,6,6,1,6,1,2,1],[1,1,1,1,2,3,1,1,2,1,1,3,1,1],[1,1,6,1,1,2,3,2,1,1,
2,6,1,1,3,1,2,1],[1,6,9,2,2,9,2,6,6,6,1,6,1,2,1],[1,9,6,2,2,9,6,6,2,6,1,6,1,2,
1],[1,1,18,1,1,2,9,1,6,1,6,2,12,1,3,3,6,1,2,1],[1,1,2,2,3,2,2,1,1,3,1,1],[1,9,
6,2,2,9,6,2,6,6,1,6,1,2,1],[1,1,1,1,2,3,1,1,2,1,1,3,1,1],[1,1,6,2,2,3,2,2,2,6,
1,1,3,1,2,1],[1,1,6,2,2,3,2,2,2,6,1,1,3,1,2,1],[1,3,1,4,8,1,3,4,1,1,2,1],[1,7,
1,1,2,3,1,2,7,2,1,1,3,1,2,1],[1,1,9,9,1,1,2,9,3,1,3,3,1,3,6,2,6,1,3,3,6,1,1,1,
1],[1,1,2,2,3,2,2,1,1,3,1,1],[1,3,4,5,4,1,3,4,1,1,1,1,1],[1,3,12,1,1,2,9,4,1,
3,3,6,3,1,3,3,1,1,1,1],[1,3,1,4,8,1,3,4,1,1,2,1],[1,3,3,9,1,1,2,9,1,1,3,3,3,3,
6,1,3,3,1,1,1,1],[1,3,12,1,1,2,9,1,4,3,3,3,6,1,3,3,1,1,1,1],[1,3,5,15,1,15,15,
1,5,1,3,3,1,3,3,1],[1,3,10,1,5,5,1,5,3,2,1,1,1,1],[1,1,10,10,1,5,5,1,5,2,1,2,
1,1,1,1],[1,1,5,5,5,10,1,5,1,1,1,1,2,1],[1,1,5,5,5,10,1,5,1,1,1,1,2,1],[1,1,2,
10,1,5,5,1,5,2,1,2,1,1,1,1],[1,3,2,1,1,1,1,1,3,2,1,1,1,1],[1,1,5,5,5,10,1,5,1,
1,1,1,2,1],[1,1,5,2,5,10,1,5,5,10,10,1,5,1,1,1,2,2,1,1,1,2,2,1],[1,1,5,5,5,5,
5,1,5,1,1,1,1,1,1,1],[1,1,5,5,1,5,5,1,5,1,1,1,1,1,1,1],[1,5,1,5,5,5,5,1,5,1,1,
1,1,1,1,1],[1,5,1,5,5,5,5,1,5,1,1,1,1,1,1,1],[1,1,7,7,1,1,1,1],[1,21,1,7,1,3,
1,1],[1,7,7,7,1,1,1,1],[1,3,3,9,4,1,1,6,9,9,9,12,3,3,9,1,4,1,3,1],[1,3,3,9,4,
1,1,6,9,9,9,12,3,3,9,4,1,1,3,1],[1,3,3,9,1,1,1,6,9,9,9,3,3,9,3,3,9,1,1,6,9,9,
9,1,3,3,9,1],[1,3,3,9,4,1,1,6,9,9,9,12,3,3,9,1,4,1,3,1],[1,3,3,9,16,1,1,6,9,9,
9,3,3,9,4,4,12,1,1],[1,3,3,9,4,1,1,6,9,9,9,12,3,3,9,1,4,1,3,1],[1,3,1,12,3,4,
1,6,6,3,3,6,6,8,4,6,1,3,3,6,1,4,3,2,1,1],[1,3,1,3,4,1,3,3,6,6,4,1,3,3,1,4,3,1,
1],[1,1,3,12,3,4,1,6,3,3,6,6,6,4,8,1,3,3,6,6,1,4,3,1,2,1],[1,3,3,9,4,1,1,9,9,
6,9,12,3,3,9,1,4,1,3,1],[1,3,3,9,4,1,1,9,9,6,9,12,3,3,9,1,4,1,3,1],[1,1,3,3,1,
1,3,3,9,3,1,3,3,1,9,9,1,1,3,3,3,3,1,3,3,1],[1,3,1,3,1,1,3,3,3,9,3,1,3,1,9,9,1,
1,3,3,3,3,1,3,3,1],[1,1,3,6,3,18,1,1,3,3,9,3,18,18,18,18,1,3,2,3,6,1,6,9,9,18,
1,1,3,3,3,6,6,6,6,3,1,2,3,3,6,1],[1,3,7,21,1,1,3,21,21,18,27,3,1,2,3,6,7,9,27,
1,1,3,3,3,6,6,6,6,3,1,2,3,3,6,1],[1,1,3,3,4,1,6,3,3,6,4,1,3,3,1,4,3,1,1],[1,3,
3,9,16,1,1,6,9,9,9,3,3,9,4,4,12,1,1],[1,3,3,9,16,1,1,9,9,6,9,3,3,9,4,4,12,1,
1],[1,1,1,5,1,2,2,1,2,2,2,1,1,5,1,1,1,2,2,1,2,2,2,1,1,1,1,1],[1,1,1,4,1,12,1,
2,1,3,6,2,2,3,6,6,1,1,1,4,4,1,3,3,6,6,1,1,1,2,2,2,2,2,2,3,1,1,1,2,2,1],[1,1,1,
6,1,6,1,3,1,3,2,6,6,6,1,1,2,1,2,1,3,3,1,1,2,1,2,2,2,3,1,1,1,1],[1,3,1,3,12,4,
1,3,6,6,3,6,6,8,4,1,6,3,3,6,1,4,3,1,2,1],[1,1,1,1,12,1,2,1,6,6,6,6,1,1,1,4,1,
3,3,1,2,2,2,2,2,3,1,1,1,1],[1,1,7,7,12,1,3,7,6,2,9,6,6,1,1,2,1,4,2,3,1,3,6,6,
1,1,1,2,2,2,2,2,2,3,1,1,1,2,2,1],[1,1,9,9,4,1,3,9,3,3,9,3,4,4,4,1,3,3,3,3,3,3,
1,4,3,1,1,1,1],[1,1,3,3,1,1,2,3,3,2,1,3,3,1,1,1,1,3,3,2,2,1,1,1,1,1],[1,1,3,3,
4,1,1,3,3,3,4,1,3,3,1,4,1,1,1],[1,1,1,17,1,2,1,3,8,2,6,6,3,1,1,5,4,1,3,6,3,6,
1,2,2,2,1,1,2,2,2,3,1,2,1,1,2,1],[1,1,1,4,1,1,2,1,6,2,2,6,1,1,1,4,1,3,3,1,2,2,
2,2,2,3,1,1,1,1],[1,3,1,6,3,6,4,1,3,3,3,3,3,3,6,6,4,4,4,3,1,3,3,3,3,3,1,4,3,1,
1,1,1],[1,1,3,2,3,6,4,1,1,3,3,3,6,6,6,6,4,8,1,2,3,3,6,1,4,1,1,2,1],[1,1,1,6,5,
6,1,3,2,1,6,3,2,2,6,6,1,1,2,5,2,1,3,6,3,6,1,2,2,1,2,2,1,2,2,3,1,2,1,1,2,1],[1,
1,1,1,1,3,1,3,3,2,3,1,1,1,1,3,3,1,1,1,1,1,2,3,1,1,1,1],[1,1,3,6,3,2,4,3,1,3,1,
6,6,3,6,6,4,8,1,3,2,3,6,1,4,1,1,2,1],[1,1,1,4,13,1,2,3,1,3,6,2,6,2,6,1,1,1,4,
4,1,6,6,3,3,1,2,1,1,2,2,2,2,2,3,1,1,1,2,2,1],[1,1,1,1,1,2,1,6,3,3,1,1,1,1,3,3,
1,1,1,2,2,3,1,1,1,1],[1,1,3,15,4,1,3,6,3,6,6,6,4,8,1,6,3,3,6,1,4,3,1,2,1],[1,
1,7,10,7,6,1,5,3,7,3,14,14,9,18,18,1,1,2,2,1,2,2,4,3,7,6,9,18,1,1,1,1,1,2,2,2,
2,2,2,2,4,4,4,4,3,1,1,1,2,2,2,2,4,1],[1,1,9,9,1,1,3,9,3,3,9,3,1,3,2,3,2,1,3,3,
3,3,3,3,1,1,1,3,1,3,1,2,2,3,1,1,1,1,1,1,1,1],[1,1,3,3,4,1,3,6,6,3,4,1,3,3,1,4,
3,1,1],[1,3,1,3,1,1,3,3,2,2,3,1,3,1,1,1,1,3,3,2,2,1,1,1,1,1],[1,1,3,3,12,4,1,
3,6,6,3,6,6,4,8,1,3,3,6,6,1,4,3,1,2,1],[1,1,3,15,4,1,6,3,6,6,3,6,4,8,1,3,6,3,
6,1,4,3,1,2,1],[1,3,1,3,4,1,3,1,3,3,4,1,3,3,1,4,1,1,1],[1,1,1,6,1,6,1,3,1,3,3,
2,3,6,6,1,1,2,1,2,1,3,3,6,6,1,1,1,1,1,2,2,2,3,1,1,1,2,2,1],[1,1,1,1,1,3,1,3,2,
6,1,1,1,1,3,3,1,1,2,1,2,3,1,1,1,1],[1,3,1,4,3,1,1,2,2,3,3,2,2,3,1,3,4,2,1,1,1,
2,1,3,3,2,2,2,2,1,1,1,1,2,2,1],[1,1,7,7,1,5,3,7,3,9,1,1,2,1,2,3,7,9,1,1,1,1,1,
2,2,2,3,1,1,1,2,2,1],[1,1,1,13,1,1,6,6,2,6,6,1,1,1,4,1,3,3,2,1,2,2,2,2,3,1,1,
1,1],[1,1,3,4,3,1,1,2,3,3,2,2,2,1,3,3,4,1,1,1,2,2,1,3,3,2,2,2,2,1,1,1,1,2,2,
1],[1,3,1,3,12,1,1,3,6,6,3,6,6,3,1,3,4,1,6,3,3,6,1,3,2,3,2,2,2,3,1,2,1,1,2,
1],[1,1,1,4,5,1,2,2,1,2,2,2,2,2,1,1,5,4,1,1,1,4,2,2,1,2,2,2,2,2,1,1,1,1,4,1],[
1,1,1,5,12,1,3,2,1,3,6,2,2,6,6,1,1,5,4,1,3,6,3,6,1,2,2,1,1,2,2,2,2,3,1,1,2,1,
2,1],[1,1,9,9,4,3,1,9,3,9,3,3,4,4,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,3,15,1,
1,3,6,3,6,6,6,1,3,3,4,1,6,3,3,6,1,3,2,3,2,2,2,3,1,2,1,1,2,1],[1,1,1,6,13,6,1,
3,2,1,3,6,6,6,6,6,1,1,2,1,2,4,1,6,3,6,3,1,2,1,1,2,2,2,2,2,3,1,1,1,2,2,1],[1,1,
1,13,12,1,1,6,6,6,2,6,6,6,1,1,1,4,4,1,3,3,12,2,1,2,2,2,2,2,2,3,1,1,1,4,1],[1,
1,7,7,1,3,7,6,2,9,1,1,2,1,2,3,1,3,1,1,1,2,2,2,2,3,1,1,1,1],[1,1,3,3,4,3,1,3,1,
3,4,1,3,3,1,4,1,1,1],[1,3,1,6,3,6,1,1,3,3,3,3,3,3,6,6,3,1,2,3,2,3,1,3,3,3,3,3,
1,1,1,3,1,3,1,2,2,3,1,1,1,1,1,1,1,1],[1,1,7,11,1,3,2,7,2,2,9,6,1,1,2,5,2,3,1,
6,3,6,1,2,2,1,1,2,2,2,2,3,1,1,2,1,2,1],[1,1,3,15,4,1,3,6,3,6,6,6,4,8,1,6,3,3,
6,1,4,3,1,2,1],[1,1,3,8,11,1,4,1,3,3,4,6,6,6,6,1,1,2,2,3,2,3,4,6,3,3,1,1,1,2,
2,1,1,1,1,2,2,3,1,1,1,1,1,1,1,1],[1,1,9,9,4,1,3,9,3,3,9,3,4,4,4,1,3,3,3,3,3,3,
1,4,3,1,1,1,1],[1,1,5,8,9,1,3,1,6,1,1,3,6,12,3,3,1,1,2,3,2,2,1,3,3,3,3,3,3,1,
1,1,1,1,2,1,2,1,2,2,3,1,1,1,1,1,1,1,1],[1,1,3,2,11,6,1,1,4,3,3,4,6,6,6,6,1,1,
2,2,3,2,3,4,3,6,3,1,1,1,2,2,1,1,1,1,2,2,3,1,1,1,1,1,1,1,1],[1,3,3,6,7,4,1,3,3,
3,3,6,6,3,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,3,7,6,3,4,1,6,3,3,3,3,6,3,3,
4,4,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,3,5,6,9,1,1,6,1,1,3,3,6,9,9,3,1,3,2,2,1,
3,3,3,3,3,3,1,1,1,1,1,3,3,2,2,3,1,1,1,1,1,1,1,1],[1,7,5,2,9,1,3,1,1,7,3,6,6,3,
9,1,2,1,2,3,2,3,1,3,3,3,3,3,1,1,1,1,1,2,1,2,1,2,2,3,1,1,1,1,1,1,1,1],[1,3,1,3,
12,4,1,3,6,6,3,6,6,4,8,1,6,3,3,6,1,4,3,1,2,1],[1,9,3,7,4,3,1,3,3,3,9,9,4,4,4,
3,3,3,1,3,3,3,1,4,3,1,1,1,1],[1,3,1,6,3,6,4,1,3,3,3,3,3,3,6,6,4,4,4,3,1,3,3,3,
3,3,1,4,3,1,1,1,1],[1,3,3,2,9,6,1,1,1,1,9,3,3,9,6,6,3,1,2,3,2,1,3,3,3,3,3,3,1,
1,1,3,1,1,3,2,2,3,1,1,1,1,1,1,1,1],[1,3,3,8,9,1,1,4,4,9,9,6,6,3,1,2,3,2,4,3,3,
3,6,1,1,1,3,1,1,3,2,2,3,1,1,1,1,1,1,1,1],[1,9,7,3,4,1,3,3,3,9,3,9,4,4,4,3,3,1,
3,3,3,3,1,4,3,1,1,1,1],[1,9,5,9,1,1,3,3,1,7,9,15,3,2,1,3,2,3,1,3,3,3,3,3,1,1,
1,1,1,3,3,2,2,3,1,1,1,1,1,1,1,1],[1,5,9,9,1,1,1,1,3,9,9,15,3,3,5,1,3,3,3,3,3,
3,1,1,1,3,1,3,5,3,1,1,1,1,1,1,1,1],[1,3,3,9,8,1,1,9,4,4,9,6,6,1,3,2,3,2,3,4,3,
3,6,1,1,1,3,3,1,1,2,2,3,1,1,1,1,1,1,1,1],[1,9,1,2,2,4,4,6,6,9,1,2,2,4,4,1,6,6,
1,1],[1,9,1,2,2,4,4,3,3,9,6,1,2,2,4,4,1,3,3,6,1,1],[1,9,1,2,2,4,4,3,3,6,9,1,2,
2,4,4,1,3,3,6,1,1],[1,3,14,1,7,7,1,7,3,2,1,1,1,1],[1,15,10,5,6,10,6,5,1],[1,
15,10,5,6,10,6,5,1],[1,3,4,1,1,3,1,4,1,1],[1,5,1,15,1,5,1,5,1,3,1,1],[1,5,1,5,
1,5,1,5,1,1,1,1],[1,5,3,15,1,15,1,1,5,5,1,3,3,5,1,3,1,1,1,1],[1,1,7,14,1,7,1,
1,2,1],[1,3,5,6,15,6,1,1,3,3,1,6,15,3,1,3,15,9,6,2,6,6,2,9,3,6,10,6,10,3,5,3,
3,3,3,1,1,3,1,9,2,6,2,2,2,3,5,5,3,3,5,5,9,3,3,3,3,4,2,2,2,2,6,6,6,6,2,2,4,1,1,
1,1,1,1,1,1,1,3,1,1,1,1,1,1,3,1,1,3,3,3,3,3,1,1,1,1,3,3,5,3,1,1,1,2,2,2,2,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,3,18,4,1,8,1,9,9,12,3,6,24,9,4,1,1,2,3,3,4,3,
3,6,1,1],[1,21,5,8,1,9,9,3,18,24,9,4,1,1,2,3,3,4,3,3,6,1,1],[1,3,9,27,2,2,1,
27,27,6,6,6,6,18,18,9,1,2,2,18,18,18,18,1,3,3,6,6,1,3,3,1],[1,3,1,3,4,1,8,1,3,
3,3,1,3,4,8,1,4,1,1,2,3,3,4,1,1,2,1,1],[1,1,3,3,5,8,1,3,3,5,3,3,8,1,4,1,1,2,3,
3,4,1,1,2,1,1],[1,3,18,5,8,1,9,9,3,18,24,9,4,1,1,2,3,3,4,3,3,6,1,1],[1,3,18,4,
1,8,1,9,9,3,12,6,24,9,4,1,1,2,3,3,4,3,3,6,1,1],[1,3,18,1,4,8,1,9,9,6,12,3,24,
9,4,1,1,2,3,3,4,3,3,6,1,1],[1,3,18,4,1,8,1,9,9,12,3,6,24,9,4,1,1,2,3,3,4,3,3,
6,1,1],[1,3,9,27,1,1,2,1,27,27,3,3,3,9,3,9,6,6,18,9,1,1,1,2,9,9,9,9,18,18,1,3,
3,3,3,6,1,3,3,1],[1,1,9,9,2,2,6,9,2,6,6,2,6,6,9,1,2,6,6,6,1,1,1,6,1,2,1],[1,1,
9,9,2,2,9,6,2,6,6,2,6,6,9,1,2,6,6,6,1,1,1,6,1,2,1],[1,1,9,9,12,2,2,9,6,18,18,
2,6,6,2,6,4,6,12,9,1,2,6,6,6,12,12,1,1,1,4,6,1,2,2,2,1],[1,1,9,12,9,2,2,6,9,
18,18,2,6,4,6,2,6,12,6,9,1,2,6,6,12,12,6,1,1,1,4,6,1,2,2,2,1],[1,3,3,9,4,1,8,
1,9,9,3,1,12,3,3,4,1,1,2,3,3,4,3,1,1,1],[1,1,9,9,2,2,9,18,2,6,6,2,6,6,9,1,6,6,
1,1,1,2,1,1],[1,1,9,9,2,2,9,9,9,2,6,6,2,6,6,9,1,6,6,1,1,1,1,1,1,1],[1,3,6,5,8,
1,3,3,3,4,6,3,4,1,1,2,3,3,4,1,3,1,1],[1,3,6,4,1,8,1,3,3,4,3,6,3,4,1,1,2,3,3,4,
1,3,1,1],[1,3,3,9,5,8,1,9,9,3,1,3,12,3,4,1,1,2,3,3,4,1,3,1,1],[1,9,1,4,8,1,3,
3,4,9,3,4,1,1,2,3,3,4,1,3,1,1],[1,3,6,4,1,8,1,3,3,4,3,6,3,4,1,1,2,3,3,4,1,3,1,
1],[1,9,6,6,2,2,9,9,9,6,2,6,2,6,6,9,1,6,6,1,2,2,1,1,1,1],[1,7,18,1,1,2,3,3,9,
1,2,6,7,6,2,12,9,1,1,1,3,3,3,3,6,1,2,2,3,3,1,1,1,1],[1,3,18,1,4,8,1,9,9,6,3,
12,24,9,4,1,3,1,2,3,4,3,3,6,1,1],[1,9,1,4,8,3,1,3,4,9,3,4,1,3,1,2,3,4,1,3,1,
1],[1,3,9,3,1,4,8,1,9,9,3,1,3,12,3,4,1,1,3,2,3,4,1,3,1,1],[1,3,3,9,1,4,8,1,9,
9,1,3,3,12,3,4,1,1,2,3,3,4,1,3,1,1],[1,1,6,18,2,2,3,3,9,2,2,2,12,6,12,9,1,1,1,
3,3,6,6,1,2,2,3,3,1,1,1,1],[1,3,3,9,4,1,8,1,9,9,1,3,12,3,3,4,1,1,2,3,3,4,3,1,
1,1],[1,1,18,6,2,2,3,3,9,2,2,12,2,12,6,9,1,1,1,6,6,3,3,1,2,2,3,3,1,1,1,1],[1,
9,1,1,2,1,3,3,3,2,9,6,3,1,1,1,1,1,2,3,3,3,2,1,3,1,1,1,1],[1,3,6,2,2,1,3,3,6,6,
2,6,3,1,2,2,1,1,3,3,3,2,1,3,1,1,1,1],[1,3,6,1,1,2,1,3,3,2,3,3,6,6,3,1,1,1,2,1,
1,3,3,3,2,1,3,1,1,1,1],[1,1,6,18,1,1,2,3,3,9,2,1,6,1,6,2,6,12,9,1,1,1,3,3,3,3,
6,1,2,2,3,3,1,1,1,1],[1,3,6,2,2,1,3,3,6,2,6,6,3,1,2,1,1,2,3,3,3,2,1,3,1,1,1,
1],[1,1,9,9,1,1,2,3,3,9,3,1,3,3,1,3,6,2,6,9,1,1,1,3,3,3,3,6,1,1,1,3,3,1,1,1,
1],[1,7,15,9,1,1,2,3,21,27,5,1,2,3,3,7,3,6,2,6,6,9,1,1,3,7,3,3,6,6,9,6,1,1,1,
2,2,3,3,1,1,1,2,2,1],[1,9,6,6,2,2,9,9,9,6,2,6,2,6,6,9,1,6,6,1,2,2,1,1,1,1],[1,
3,6,1,4,8,1,3,3,3,4,6,3,4,1,1,2,3,3,4,3,1,1,1],[1,6,3,1,4,8,1,3,3,3,4,6,3,4,1,
3,3,1,2,4,1,3,1,1],[1,3,6,1,4,8,1,3,3,3,4,6,3,4,1,1,2,3,3,4,1,3,1,1],[1,3,3,9,
4,1,8,1,9,9,1,3,12,3,3,4,1,1,2,3,3,4,3,1,1,1],[1,9,1,4,8,1,3,3,4,9,3,4,1,1,3,
2,3,4,1,3,1,1],[1,3,6,1,8,4,1,3,3,3,6,4,3,4,2,1,1,3,3,4,1,3,1,1],[1,3,5,15,1,
15,5,15,15,1,5,15,15,1,3,3,5,1,1,3,3,3,1,3,3,1],[1,1,5,5,1,5,5,5,10,5,1,5,5,5,
1,1,1,5,1,1,1,1,1,2,1,1,1,1],[1,3,5,15,1,15,15,10,10,1,5,5,5,1,3,3,5,1,3,3,2,
2,1,1,1,1],[1,3,5,2,15,10,1,1,1,15,5,5,15,10,10,1,1,5,5,5,5,5,5,1,3,3,2,2,5,1,
1,1,1,3,1,3,2,2,1,1,1,1,1,1,1,1],[1,1,5,5,1,5,5,10,10,1,5,5,5,1,1,1,5,1,1,1,2,
2,1,1,1,1],[1,1,5,2,5,10,1,5,5,10,10,10,10,1,5,5,5,1,1,1,2,2,5,1,1,1,2,2,2,2,
1,1,1,1],[1,1,5,2,5,10,1,5,5,5,10,5,10,10,1,5,5,5,10,10,1,1,1,2,2,5,1,1,1,1,1,
2,2,2,1,1,1,2,2,1],[1,3,7,1,21,1,7,3,1,1,3,1],[1,3,4,1,1,1,3,4,1,1],[1,3,28,1,
1,7,3,4,1,1],[1,1,7,7,7,1,7,1,1,1,1,1],[1,1,14,7,7,7,14,1,7,1,2,1,1,1,2,1],[1,
3,3,18,9,6,4,1,9,9,1,9,3,3,9,18,6,18,9,18,18,12,4,12,9,3,3,9,3,9,18,6,9,9,9,9,
9,18,1,4,12,12,1,3,3,9,9,9,9,3,3,1,4,3,3,1,3,1],[1,3,9,27,4,1,1,3,6,27,3,27,9,
18,27,9,12,4,12,9,3,9,3,9,9,9,27,9,9,9,18,4,1,12,12,1,3,3,9,9,9,9,1,3,4,3,3,1,
3,3,1],[1,3,3,12,9,4,1,1,6,6,6,9,9,9,6,6,6,6,8,12,6,3,3,3,3,3,3,9,6,6,6,12,1,
4,4,4,1,3,3,3,3,3,3,2,3,4,3,1,1,1,1],[1,3,3,12,9,4,1,1,6,6,6,9,9,9,6,6,6,6,12,
8,6,3,3,3,3,3,3,9,6,6,6,12,4,1,4,4,1,3,3,3,3,3,3,4,3,2,3,1,1,1,1],[1,3,9,27,4,
1,3,1,18,27,3,27,27,6,9,9,4,12,12,9,9,3,3,27,9,9,9,9,9,9,18,1,4,12,12,3,1,3,9,
9,9,9,1,3,3,4,3,1,3,3,1],[1,3,9,27,1,1,1,3,6,27,3,27,9,18,27,9,3,3,2,9,6,9,3,
9,3,9,9,9,27,9,9,9,18,1,1,1,1,6,9,3,9,3,9,6,6,6,6,1,3,3,9,9,9,9,1,3,3,2,9,3,3,
3,3,3,3,3,6,6,3,1,1,1,3,3,3,3,1],[1,3,3,6,9,18,1,1,1,3,3,6,9,9,9,9,9,18,18,18,
18,3,3,2,9,6,3,3,3,9,9,6,9,9,9,9,9,9,18,18,1,1,1,1,6,9,9,3,9,3,6,6,6,6,1,3,3,
9,9,9,9,3,1,3,2,3,3,3,9,3,3,3,3,6,6,3,1,1,1,3,3,3,3,1],[1,3,3,6,9,18,4,1,1,3,
3,6,9,9,9,9,9,18,18,18,18,4,12,12,3,3,3,9,9,6,9,9,9,9,9,9,18,18,1,4,12,12,1,3,
3,9,9,9,9,1,3,3,4,3,1,3,3,1],[1,3,9,27,4,1,1,3,6,27,3,27,9,18,27,9,4,12,12,9,
3,9,3,9,9,9,27,9,9,9,18,1,4,12,12,1,3,3,9,9,9,9,1,3,4,3,3,1,3,3,1],[1,3,3,12,
9,16,1,1,6,6,6,9,9,9,6,6,6,6,16,6,3,3,3,3,3,3,9,6,6,6,12,4,4,12,1,3,3,3,3,3,3,
4,4,4,3,1,1],[1,3,3,6,9,18,4,1,1,3,3,6,9,9,9,9,9,18,18,18,18,4,12,12,3,3,3,9,
9,6,9,9,9,9,9,9,18,18,1,4,12,12,1,3,3,9,9,9,9,1,3,3,4,3,1,3,3,1],[1,3,3,6,9,2,
4,1,3,3,1,9,1,1,9,6,6,6,9,6,6,12,8,3,3,3,3,1,3,6,2,3,3,3,3,9,6,1,4,4,4,1,1,1,
3,3,3,3,3,2,4,1,1,1,1,1],[1,1,9,10,9,18,1,1,5,3,9,3,9,3,14,2,14,9,3,18,30,18,
30,1,3,2,2,3,6,2,4,1,3,7,3,1,2,6,6,2,9,15,3,3,3,3,6,6,6,6,18,18,6,6,1,1,1,1,3,
1,3,1,3,2,2,2,2,2,2,6,6,6,6,4,4,4,4,1,3,3,3,3,3,3,6,6,6,6,1,1,2,3,1,1,1,1,1,1,
1,3,2,2,6,2,2,2,2,2,2,2,2,2,2,4,3,1,1,1,1,1,1,1,2,2,2,2,1],[1,3,3,9,12,4,1,1,
9,6,6,9,6,6,6,9,6,6,12,8,3,3,6,3,3,3,9,3,6,6,6,12,1,4,4,4,1,3,3,3,3,3,3,3,4,2,
3,1,1,1,1],[1,1,7,10,11,6,1,5,3,2,7,6,3,2,2,14,14,2,9,6,18,18,1,1,2,2,5,2,2,4,
3,7,1,1,6,9,6,6,3,3,4,6,6,18,1,1,2,2,1,1,2,2,2,1,2,2,2,2,2,2,2,2,4,4,4,4,3,1,
3,3,3,3,3,1,2,1,1,1,2,1,1,1,2,2,2,2,2,2,4,4,3,1,1,1,1,1,1,1,1],[1,1,9,9,4,3,3,
1,9,7,3,9,6,3,3,4,4,4,3,1,3,3,3,3,3,9,3,9,3,1,4,4,4,1,3,3,3,3,3,3,1,1,1,4,3,1,
1,1,1],[1,1,3,6,15,2,4,3,1,6,3,6,1,6,6,6,6,6,3,6,6,6,4,8,8,1,3,3,3,2,3,6,6,3,
3,12,6,6,6,1,4,4,4,1,3,3,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,1,1,6,17,6,1,3,2,2,1,6,
3,3,8,2,2,6,6,3,6,6,1,1,2,5,2,4,1,1,1,6,3,6,6,3,6,3,3,6,6,6,6,1,1,2,2,2,1,1,2,
2,1,2,2,2,2,2,2,1,3,3,3,3,3,3,1,2,1,1,2,1,1,1,1,2,2,2,2,2,2,3,1,1,1,1,1,1,1,
1],[1,1,3,15,12,4,3,1,6,3,1,6,6,6,6,3,6,6,6,4,8,8,1,3,3,3,3,6,6,3,3,6,6,6,6,1,
4,4,4,1,3,3,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,3,3,4,9,1,1,1,2,2,6,9,9,9,2,2,2,2,3,
3,9,4,2,3,3,1,1,1,1,9,2,2,2,4,1,1,6,9,9,9,2,2,2,2,2,2,1,1,1,1,1,1,1,3,3,9,1,1,
1,1,2,2,2,2,4,1,1,1,1,1,1,1,1,1],[1,1,7,11,12,1,5,3,2,7,3,6,2,2,2,9,6,6,6,1,1,
2,5,4,2,3,7,1,1,3,6,6,9,3,6,6,6,6,1,1,2,2,1,1,2,1,2,2,2,2,2,2,2,2,3,1,3,3,3,3,
3,1,1,1,1,2,1,1,2,1,2,2,2,2,2,2,3,1,1,1,1,1,1,1,1],[1,1,9,14,9,6,4,1,7,3,9,3,
3,3,18,6,18,9,3,6,18,6,18,4,4,8,4,8,1,3,9,3,3,6,2,6,6,3,9,3,3,3,3,6,6,6,6,6,
18,6,6,1,4,4,4,8,8,3,3,1,3,3,3,3,6,6,6,6,1,1,2,1,4,2,3,1,1,1,2,2,1],[1,3,3,9,
12,4,1,1,9,6,6,9,6,6,6,9,6,6,8,12,3,3,6,3,3,3,9,3,6,6,6,12,1,4,4,4,1,3,3,3,3,
3,3,3,2,4,3,1,1,1,1],[1,3,1,4,3,12,1,1,2,2,3,6,3,6,3,2,2,9,6,6,3,1,3,4,4,2,1,
1,6,1,2,3,3,9,9,6,6,6,1,1,3,3,2,3,2,2,2,2,2,2,2,1,3,3,3,3,3,3,1,2,1,3,1,1,3,1,
2,2,2,2,2,3,1,1,1,1,1,1,1,1],[1,3,3,2,9,6,4,1,1,1,1,6,9,3,3,9,9,6,6,6,6,12,8,
1,3,3,3,9,2,3,3,3,3,3,3,6,6,4,1,4,4,1,1,1,3,3,3,3,3,4,2,1,1,1,1,1],[1,3,1,6,3,
6,4,1,3,3,3,3,1,3,3,6,6,3,6,6,4,4,4,3,1,3,3,3,3,3,3,3,3,3,6,6,1,4,4,4,3,1,3,3,
3,3,3,1,1,1,4,3,1,1,1,1],[1,3,5,15,4,1,1,1,6,15,1,15,9,6,9,3,20,5,3,3,1,9,3,3,
9,3,3,3,6,1,4,4,4,1,1,1,3,3,3,3,5,4,1,1,1,1,1],[1,1,9,9,4,1,7,3,9,3,3,3,6,9,3,
4,4,4,1,3,3,3,9,3,3,9,3,3,3,1,4,4,4,3,3,1,3,3,3,3,1,1,1,4,3,1,1,1,1],[1,1,9,6,
9,14,4,3,3,1,9,3,7,9,6,6,6,3,3,18,18,18,18,4,4,8,4,8,3,1,3,3,3,6,6,2,6,9,9,3,
3,3,3,6,6,6,6,18,6,6,6,1,4,4,4,8,8,3,1,3,3,3,3,3,6,6,6,6,1,1,1,2,2,4,3,1,1,1,
2,2,1],[1,3,7,10,21,6,1,1,5,5,3,21,3,3,21,14,18,14,27,18,18,3,1,2,2,3,2,6,4,5,
7,9,7,3,7,14,6,9,9,9,9,27,18,1,1,1,1,3,3,1,3,1,6,6,6,2,2,2,2,2,6,2,4,4,4,4,3,
3,3,7,9,9,9,1,1,2,1,1,1,1,3,1,1,3,1,2,2,2,2,2,2,2,2,2,2,2,2,6,4,3,1,1,1,1,1,1,
1,2,2,2,2,1],[1,1,3,12,15,4,1,6,1,3,3,6,3,6,6,6,6,6,6,4,8,8,1,3,3,6,6,6,6,6,3,
3,3,3,6,1,4,4,4,3,1,3,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,1,3,2,15,6,4,1,1,6,3,3,6,
3,6,6,6,6,6,6,6,6,4,8,8,1,3,3,6,2,3,3,6,6,3,3,6,6,12,1,4,4,4,3,1,3,3,3,3,3,1,
2,4,2,3,1,1,1,1],[1,1,3,6,15,18,1,1,3,2,3,9,6,3,6,2,6,6,18,18,18,18,1,3,2,3,6,
4,1,1,1,6,6,9,9,6,6,3,3,6,18,12,1,1,3,2,3,2,3,2,2,2,6,2,6,6,6,1,3,3,3,3,3,3,1,
2,3,1,2,1,1,1,3,6,2,2,2,4,3,1,1,1,1,1,1,1,1],[1,3,1,12,3,12,4,1,6,6,3,6,1,6,3,
6,6,3,6,6,8,8,4,6,1,3,6,3,6,3,3,3,3,6,6,6,1,4,4,4,3,1,3,3,3,3,3,2,1,2,4,3,1,1,
1,1],[1,3,7,21,12,1,1,3,21,6,6,21,2,18,2,27,6,6,3,1,2,3,4,6,7,9,6,1,1,3,27,3,
6,6,6,12,1,1,3,3,2,3,2,6,6,6,2,2,6,2,2,3,1,3,3,3,3,3,1,2,2,1,3,1,1,3,1,2,2,6,
2,4,3,1,1,1,1,1,1,1,1],[1,1,9,9,1,1,5,3,9,9,3,3,2,9,3,1,3,2,3,2,1,3,1,3,7,3,3,
15,3,9,3,1,1,1,1,3,1,3,1,3,2,2,2,2,3,1,3,3,3,3,3,1,1,1,1,1,1,1,3,3,1,1,2,2,3,
1,1,1,1,1,1,1,1],[1,1,1,4,17,12,1,2,3,2,1,3,3,6,8,2,2,6,2,2,6,3,6,6,1,1,5,4,4,
4,1,1,1,6,3,6,6,3,3,6,3,4,6,6,6,6,12,1,1,2,2,2,1,1,1,2,2,2,2,2,2,2,2,2,2,1,3,
3,3,3,3,3,1,2,1,1,1,1,1,2,1,2,2,2,2,2,2,4,4,3,1,1,1,1,1,1,1,1],[1,1,3,4,15,1,
1,2,3,3,9,6,3,2,2,6,2,6,6,1,3,3,4,4,1,1,1,2,6,2,6,6,9,3,9,3,6,1,1,3,2,3,2,3,2,
2,2,2,2,2,1,3,3,3,3,3,3,1,2,1,1,1,3,1,3,2,2,2,2,2,3,1,1,1,1,1,1,1,1],[1,3,1,6,
3,6,1,1,3,3,3,3,3,3,3,2,2,9,6,6,3,1,2,3,2,3,1,3,1,1,3,3,3,3,9,9,6,6,1,1,1,1,3,
3,1,3,1,2,2,2,2,1,3,3,3,3,3,3,1,1,1,1,1,3,1,1,1,3,1,2,2,3,1,1,1,1,1,1,1,1],[1,
3,3,9,12,16,1,1,9,6,6,9,6,6,6,9,6,6,16,3,3,6,3,3,3,9,3,6,6,6,12,4,4,12,1,3,3,
3,3,3,3,4,4,4,3,1,1],[1,3,4,2,2,16,16,1,6,6,1,8,8,16,16,1,2,4,2,4,3,4,2,1,2,4,
4,1],[1,3,1,5,8,10,16,1,3,3,6,4,5,8,16,16,1,1,2,1,2,2,4,3,4,1,1,1,2,2,2,4,1],[
1,9,18,1,2,2,4,4,27,6,6,6,6,9,12,18,1,2,2,4,4,9,18,1,2,6,6,6,6,12,1,3,6,1,2,
1],[1,9,18,1,2,2,4,4,27,6,6,6,9,6,18,12,1,2,2,4,4,9,18,1,2,6,6,6,6,12,1,3,6,1,
2,1],[1,9,1,2,2,4,4,9,6,6,9,1,2,2,4,4,9,1,6,6,1,1,1,1],[1,25,10,5,15,15,6,10,
20,15,6,5,10,6,5,1,1],[1,15,10,10,5,15,15,6,10,10,10,15,6,5,10,6,5,1,1],[1,1,
15,15,10,5,15,15,6,10,10,10,5,6,6,6,5,10,6,5,1,1],[1,3,5,15,4,1,15,15,1,20,5,
1,3,3,1,4,1,3,3,5,4,1,1,1],[1,15,10,10,5,15,15,6,10,10,10,15,6,5,10,6,5,1,1],[
1,1,15,15,10,5,15,15,6,10,10,10,5,6,6,6,5,10,6,5,1,1],[1,15,1,15,10,5,15,15,6,
10,10,10,5,6,6,6,5,10,6,5,1,1],[1,3,6,4,1,3,3,1,4,3,3,6,1,4,1,3,3,1,4,3,1,1],[
1,3,30,4,1,15,15,1,20,15,3,6,1,4,1,3,3,5,4,3,1,1],[1,15,10,10,5,15,15,6,10,10,
10,15,6,5,10,6,5,1,1],[1,5,3,15,1,5,15,15,1,1,5,5,15,1,3,3,5,5,5,1,1,3,3,5,1,
1,1,3,1,1,1,1],[1,21,1,7,14,7,21,1,7,3,7,1,1,2,1,3,1,1],[1,3,3,9,4,4,32,1,1,6,
9,9,9,12,12,3,3,9,16,1,4,1,8,4,8,24,1,3,3,4,4,1,1,2,1],[1,3,3,9,4,1,8,1,1,6,9,
9,9,3,3,9,12,24,3,3,9,4,1,1,1,2,4,6,8,9,9,9,1,12,3,3,3,6,9,1,4,1,1,2,3,1],[1,
3,3,9,5,8,1,1,6,9,9,9,15,3,9,24,3,3,9,4,5,1,1,2,8,6,9,9,9,1,12,3,3,3,6,9,1,4,
1,1,2,3,1],[1,3,3,9,4,4,32,1,1,6,9,9,9,12,12,3,3,9,16,4,1,1,4,8,8,24,1,3,3,4,
4,1,1,2,1],[1,3,3,9,4,4,32,1,1,6,9,9,9,12,12,3,3,9,16,1,1,4,4,8,8,24,1,3,3,4,
4,1,1,2,1],[1,3,3,9,1,16,32,1,1,6,9,9,9,3,3,9,3,3,9,16,1,1,4,6,4,8,9,9,9,8,12,
24,1,3,3,9,4,4,12,1,1,2,1],[1,3,9,27,2,2,1,27,9,27,27,6,6,6,6,18,18,9,27,27,1,
2,2,18,18,18,18,9,1,3,3,6,6,1,1,3,3,3,1,3,3,1],[1,3,7,21,4,1,8,1,3,21,21,18,
27,3,1,2,3,28,6,8,7,9,27,4,1,1,2,1,3,3,3,12,6,6,6,6,3,4,8,7,1,2,2,3,3,6,1,4,3,
1,1,2,1],[1,1,3,3,5,8,1,6,3,3,6,5,3,3,8,1,3,3,4,1,1,2,4,3,3,6,6,3,4,1,1,2,3,3,
1,4,1,3,1,1],[1,3,1,12,3,4,1,8,1,6,6,3,3,6,6,8,3,1,3,4,8,12,6,1,3,3,6,4,1,1,2,
3,3,4,6,6,6,6,3,4,8,2,1,1,2,3,3,6,6,1,4,1,3,1,2,1],[1,1,3,12,3,5,8,1,6,3,3,6,
6,6,5,3,8,3,8,12,1,3,3,6,6,4,1,1,2,4,3,3,6,6,6,6,3,4,8,1,1,2,2,3,3,6,6,1,4,1,
3,1,2,1],[1,1,3,6,3,18,5,8,1,3,3,9,3,18,18,18,18,5,3,2,3,8,6,24,1,6,9,9,18,4,
1,1,2,1,3,3,3,12,6,6,6,6,3,4,8,1,1,2,2,3,3,6,6,1,4,1,3,1,2,1],[1,3,1,3,4,1,8,
1,3,3,6,6,3,1,3,4,8,1,3,3,4,1,1,2,3,3,4,6,6,3,4,1,1,2,3,3,1,4,1,3,1,1],[1,3,1,
3,4,1,8,1,3,3,3,9,3,1,3,4,8,1,9,9,4,1,1,2,1,3,3,3,12,3,4,1,1,2,3,3,1,4,1,3,1,
1],[1,3,3,9,4,4,32,1,1,9,9,6,9,12,12,3,3,9,16,1,1,4,8,4,8,24,1,3,3,4,4,1,1,2,
1],[1,1,3,39,5,8,1,3,18,3,18,18,18,5,3,3,8,36,48,1,18,9,9,18,4,1,1,2,3,6,3,6,
6,18,24,9,4,8,1,1,2,6,6,3,3,12,6,1,4,3,3,6,1,2,1],[1,1,21,21,5,8,1,9,21,9,3,
27,9,5,3,18,3,24,8,18,24,1,9,9,9,9,9,9,4,1,1,2,3,3,3,3,3,3,6,18,24,9,4,4,4,3,
3,1,1,6,2,3,3,3,3,3,3,6,1,4,3,3,6,1,1,1,1],[1,3,1,3,36,4,1,8,1,3,18,18,3,18,
18,3,1,3,24,4,12,8,48,1,18,9,9,18,4,1,1,2,3,6,3,6,6,6,12,24,9,4,8,1,6,1,2,6,3,
3,12,6,1,4,3,3,6,1,2,1],[1,3,1,18,3,18,4,1,8,1,9,9,3,9,9,3,18,18,12,3,1,6,3,
12,4,6,24,8,24,9,1,9,9,9,9,9,4,1,1,2,3,3,3,3,3,3,6,6,12,24,9,4,4,4,3,1,3,1,3,
6,2,3,3,3,3,3,6,1,4,3,3,6,1,1,1,1],[1,1,3,3,5,8,1,3,3,9,3,5,3,3,8,1,9,9,4,1,1,
2,1,3,3,3,12,3,4,1,1,2,3,3,1,4,1,3,1,1],[1,3,3,9,4,20,16,1,1,6,9,9,9,12,12,3,
3,9,16,5,1,4,4,4,4,4,12,12,1,3,3,4,4,1,1,1,1,1],[1,1,9,12,9,2,2,6,9,6,18,18,
18,2,6,4,6,2,6,12,6,9,9,9,1,2,2,6,6,12,12,6,6,9,1,1,1,4,6,6,2,1,2,2,2,2,1,1,1,
1],[1,3,9,12,27,2,2,1,6,6,27,27,18,18,6,6,4,6,6,18,12,18,6,9,9,9,18,1,2,2,2,2,
18,6,6,18,12,18,12,18,9,1,3,3,4,2,6,6,6,6,6,6,6,1,3,3,2,2,2,2,6,1,1,1,2,2,1],[
1,1,9,12,9,12,2,2,6,9,9,6,18,18,9,18,18,2,6,4,6,2,6,4,12,6,12,9,9,9,18,18,1,2,
2,6,6,12,12,6,6,12,12,9,1,1,1,4,4,6,6,1,1,1,2,2,2,2,2,2,1,1,1,2,2,1],[1,3,3,6,
9,18,4,1,8,1,3,3,9,9,9,9,18,18,4,3,1,12,12,6,3,6,24,3,3,9,9,9,9,9,4,1,1,2,3,3,
3,3,3,3,6,6,12,9,4,4,4,1,3,3,1,3,3,3,6,3,3,3,1,4,3,3,1,1,1,1],[1,1,9,9,2,2,6,
9,6,9,9,2,6,6,2,6,6,9,9,9,1,2,2,6,6,6,6,9,1,1,1,6,6,1,1,1,2,2,1,1,1,1],[1,1,9,
9,12,2,2,6,9,6,18,18,18,2,6,6,2,6,4,6,12,9,9,9,1,2,2,6,6,6,6,12,12,9,1,1,1,4,
6,6,2,1,2,2,2,2,1,1,1,1],[1,21,9,9,5,8,1,9,9,3,21,9,27,3,18,5,24,3,18,9,3,3,9,
9,9,9,4,1,1,2,3,3,3,3,3,3,6,18,9,4,8,3,3,1,6,1,3,3,3,3,3,3,1,4,3,3,1,1,1,1],[
1,3,9,18,9,5,8,1,18,3,3,9,9,18,9,9,3,5,3,18,18,24,3,3,9,9,9,9,9,4,1,1,2,3,3,3,
3,3,3,6,18,9,4,8,1,1,3,3,3,6,3,3,3,3,3,1,4,3,3,1,1,1,1],[1,3,9,27,12,2,2,1,27,
6,6,27,18,18,6,6,6,6,18,4,18,12,9,6,9,9,18,1,2,2,2,2,18,18,18,18,6,6,12,12,9,
1,3,3,4,6,2,6,6,6,6,6,6,1,3,3,2,2,2,2,6,1,1,1,2,2,1],[1,3,3,24,9,4,1,8,1,12,
12,9,9,18,18,16,3,1,6,12,3,24,6,12,3,9,9,18,4,1,1,2,3,3,12,3,3,3,3,6,6,9,4,4,
4,4,3,3,6,1,3,3,3,3,3,1,4,3,3,1,1,1,1],[1,9,21,9,1,4,8,1,3,3,9,27,9,27,7,4,12,
3,9,24,12,3,9,3,9,9,9,9,4,1,1,2,3,3,9,3,12,3,9,9,4,4,4,1,3,1,3,3,3,6,3,3,3,3,
1,4,3,3,1,1,1,1],[1,9,9,21,1,4,8,3,1,3,9,9,27,27,3,4,7,9,12,12,24,3,9,9,3,9,9,
9,4,1,3,3,1,3,2,3,9,9,12,9,4,4,4,1,3,1,3,3,3,3,3,3,3,6,1,4,3,3,1,1,1,1],[1,9,
15,27,1,1,2,1,3,3,3,21,27,45,5,3,2,3,9,9,9,6,6,6,18,3,3,9,9,9,9,9,1,1,1,1,1,2,
1,3,7,3,3,9,9,6,3,6,9,15,18,18,9,1,3,3,2,2,1,3,3,3,1,3,3,3,3,3,6,3,3,3,3,1,1,
1,3,1,1,3,2,2,3,3,1,1,1,1,1,1,1,1],[1,3,3,9,24,4,1,8,1,9,12,12,9,18,18,1,16,3,
12,6,3,6,24,3,12,9,9,18,4,1,1,2,3,3,3,12,3,3,3,6,6,9,4,4,4,3,4,3,1,6,3,3,3,3,
3,1,4,3,3,1,1,1,1],[1,3,5,2,15,10,1,1,1,15,5,5,5,15,10,10,15,10,10,1,1,5,5,5,
5,5,5,5,5,15,15,10,10,1,3,3,2,2,5,5,5,5,5,5,5,1,1,1,1,1,3,1,3,3,2,2,2,2,5,1,1,
1,3,1,1,1,1,1,3,1,2,2,1,1,1,1,1,1,1,1],[1,21,28,7,7,21,28,8,21,7,7,8,7,7,1],[
1,3,42,4,1,21,21,28,1,21,1,3,6,4,7,1,3,3,4,3,1,1],[1,3,14,7,1,7,7,21,14,1,7,7,
7,7,3,2,1,7,1,1,1,3,2,1,1,1,1,1],[1,15,1,10,20,5,6,10,15,10,6,5,5,10,6,10,6,5,
1,1],[1,15,1,10,20,5,6,10,15,10,6,5,5,10,6,10,6,5,1,1],[1,3,5,18,15,18,4,1,1,
9,9,1,6,15,9,1,9,15,9,18,6,6,18,6,9,3,18,30,18,30,12,12,20,9,5,3,3,9,9,3,1,9,
3,9,6,18,6,6,6,9,15,15,3,3,15,15,9,3,9,3,3,12,6,6,6,6,6,18,18,18,6,6,12,1,4,4,
4,12,4,12,20,1,1,3,3,3,3,3,3,3,9,3,1,3,3,3,3,3,3,3,9,9,3,3,3,3,3,3,3,9,9,15,9,
3,3,3,6,6,6,6,3,5,3,4,4,4,4,4,4,4,3,3,3,1,3,3,3,3,3,3,3,3,3,3,3,1,3,1,1,3,5,1,
4,3,1,1,1,1,1,1,1,1],[1,3,9,14,27,6,4,1,1,7,7,3,6,27,3,3,3,27,9,18,6,18,18,6,
27,9,6,18,6,18,12,4,8,12,8,7,9,3,9,9,3,3,3,9,3,9,6,18,2,6,6,3,9,9,9,9,9,9,27,
9,3,9,9,12,6,6,6,6,18,6,6,18,6,6,12,4,1,4,4,12,4,4,12,8,8,1,3,3,3,3,3,3,3,1,9,
1,3,3,3,3,3,9,3,3,3,9,9,9,9,3,3,3,3,3,9,9,3,3,3,3,6,6,6,6,1,4,3,2,4,3,4,4,4,4,
2,4,3,1,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,3,1,1,3,2,4,2,3,1,1,1,1,1,1,1,1],[1,3,
9,10,27,18,1,1,1,5,5,3,6,27,9,3,9,27,9,14,2,18,14,2,27,9,18,30,18,30,3,3,2,2,
9,6,6,4,5,9,3,9,7,9,1,3,7,1,9,2,14,6,6,2,9,15,15,9,9,15,15,27,9,9,9,9,4,6,6,6,
6,18,18,18,18,6,6,12,1,1,1,1,1,1,6,9,3,9,3,3,9,3,6,6,6,2,2,2,2,2,2,6,6,6,6,6,
4,4,4,4,1,3,3,1,3,1,1,1,3,7,3,3,1,3,3,3,9,3,3,9,9,9,9,9,3,3,3,3,9,9,15,9,3,3,
3,6,6,6,6,1,3,1,3,2,2,3,3,3,9,1,3,3,3,1,3,1,3,3,1,3,3,3,3,3,2,2,2,6,2,2,2,6,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,6,6,4,4,4,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,1,1,1,
1,1,1,1,1,3,1,3,1,1,1,1,3,1,1,1,1,1,1,1,3,1,3,3,1,1,1,3,3,2,2,2,2,2,2,2,2,3,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,3,9,6,27,14,4,1,3,3,3,1,18,27,7,3,7,27,27,6,
6,6,6,6,9,9,18,18,18,18,4,12,8,12,8,3,9,9,3,3,7,3,3,3,3,27,6,6,6,2,6,9,9,9,9,
9,9,9,9,9,9,9,9,12,6,6,6,6,18,18,18,6,6,6,12,1,4,4,4,12,12,4,4,8,8,3,1,1,3,1,
3,3,3,3,3,3,3,3,3,3,3,9,3,3,9,3,9,9,9,3,3,3,3,9,3,9,9,3,3,3,6,6,6,6,1,3,3,4,4,
2,2,4,4,4,4,4,3,3,1,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,1,3,3,1,2,2,4,3,1,1,1,1,1,1,
1,1],[1,3,9,27,4,2,2,16,16,1,27,27,6,6,6,6,36,18,18,9,1,8,8,16,16,1,2,4,2,4,
18,18,18,18,1,3,3,24,24,9,6,6,4,2,1,2,3,3,4,4,4,1,6,6,1,1],[1,21,1,5,8,10,16,
1,9,9,3,18,24,21,6,9,4,5,8,16,16,1,1,2,3,3,1,2,2,9,4,9,4,3,18,24,3,3,6,9,4,1,
1,1,2,2,2,3,3,4,4,1,3,3,6,1,1],[1,3,18,4,2,2,16,16,1,9,9,6,12,6,6,18,24,9,1,8,
8,16,16,1,2,4,2,4,3,3,9,9,3,4,6,12,24,3,3,6,9,4,2,1,2,4,4,3,3,4,1,3,3,6,1,1],[
1,3,18,1,5,8,10,16,1,9,9,6,3,12,3,24,6,18,9,4,5,8,16,16,1,1,2,1,2,2,3,3,4,9,9,
4,3,6,12,24,3,3,9,6,4,1,1,1,2,2,2,3,3,4,4,1,3,3,6,1,1],[1,3,9,27,1,5,8,10,16,
1,27,27,3,3,3,9,3,9,6,6,36,18,9,4,5,8,16,16,1,1,2,1,2,2,4,9,9,9,9,18,18,1,3,3,
12,12,24,3,3,9,6,4,1,1,1,2,2,2,3,3,4,4,1,3,3,6,1,1],[1,3,18,4,2,2,16,16,1,9,9,
12,6,6,6,24,18,9,1,8,8,16,16,1,2,4,3,3,2,4,9,9,4,3,12,6,24,3,3,6,9,4,2,1,2,4,
4,3,3,4,1,3,3,6,1,1],[1,9,18,18,1,2,2,4,4,9,27,27,6,6,6,6,6,9,6,12,18,18,12,
27,1,2,2,4,4,9,9,18,9,18,1,2,2,6,6,6,6,6,6,12,12,9,1,1,3,3,6,6,1,2,2,3,1,1,1,
1],[1,3,15,45,10,1,5,30,45,45,45,6,30,10,30,15,15,45,6,18,18,10,5,30,30,5,6,
18,18,15,10,6,5,1,3,1],[1,3,15,45,10,1,5,45,45,30,45,6,10,30,30,15,15,45,6,18,
18,5,10,30,30,5,6,18,18,15,10,6,5,1,3,1],[1,1,15,15,10,5,10,15,15,30,6,10,10,
10,5,15,15,6,6,6,5,10,10,10,15,6,12,5,10,6,5,1,1,1],[1,1,15,35,10,5,15,10,15,
30,30,30,6,10,10,20,30,5,30,15,15,30,6,6,6,5,10,20,20,10,10,15,6,12,5,10,10,6,
5,1,2,1,1],[1,1,15,15,10,5,1,15,15,15,6,10,10,10,5,15,15,6,6,6,5,10,10,10,5,6,
6,6,5,10,6,5,1,1,1],[1,1,15,20,15,10,5,10,15,15,30,30,30,6,10,10,20,10,20,5,
15,15,30,30,6,6,6,5,10,10,10,20,20,15,6,12,5,10,10,6,5,1,1,2,1],[1,1,15,2,15,
30,10,5,1,15,15,15,30,30,30,30,6,10,10,20,10,20,5,10,15,15,30,6,6,6,12,12,5,
10,10,10,20,20,5,6,6,6,12,12,5,10,10,6,5,1,1,2,1],[1,1,25,25,10,5,15,25,15,15,
45,15,6,10,10,20,10,20,5,15,15,15,15,15,15,6,6,6,5,10,10,10,20,20,15,6,6,6,5,
5,5,10,6,5,1,1,1,1,1],[1,15,11,10,15,10,5,10,15,15,15,15,30,15,15,6,10,10,10,
10,10,20,15,5,15,15,15,15,15,6,6,6,5,10,10,10,10,10,10,10,15,6,6,6,5,5,5,10,6,
5,1,1,1,1,1],[1,3,5,15,4,1,15,15,30,30,1,20,5,15,15,1,3,3,1,20,4,15,1,3,3,6,6,
5,4,1,3,3,5,1,4,3,1,1],[1,3,5,15,4,1,15,5,15,15,1,20,5,15,15,1,3,3,1,20,4,5,1,
1,3,3,3,5,4,1,3,3,5,1,4,1,1,1],[1,1,15,15,10,5,15,10,30,15,6,10,10,10,5,15,15,
6,6,6,5,10,10,10,15,6,12,5,10,6,5,1,1,1],[1,1,15,15,20,10,5,15,10,30,15,30,30,
6,10,10,20,10,20,5,15,15,30,30,6,6,6,5,10,10,10,20,20,15,6,12,5,10,10,6,5,1,1,
2,1],[1,25,11,15,10,5,15,15,15,25,15,45,6,10,20,10,10,20,15,15,5,15,15,15,15,
6,6,6,5,10,10,10,20,20,15,6,6,6,5,5,10,5,6,5,1,1,1,1,1],[1,3,5,6,15,30,4,1,3,
3,15,15,15,15,30,30,1,4,20,20,3,5,15,15,15,15,15,1,3,3,6,6,1,20,4,15,1,3,3,3,
3,3,3,6,6,1,5,5,4,4,4,1,3,3,3,3,3,3,5,1,4,3,1,1,1,1],[1,3,4,7,56,1,21,1,28,1,
7,14,3,1,4,8,1,7,3,4,1,1,2,1],[1,3,3,36,9,4,4,32,1,1,18,18,6,9,9,9,18,18,18,
18,24,12,24,12,96,18,3,3,9,9,9,9,9,18,18,18,36,16,1,4,1,8,12,12,4,8,12,12,24,
1,9,9,9,9,9,9,16,6,3,12,3,24,6,12,24,24,9,4,4,1,1,2,3,3,3,3,4,4,3,3,6,1,1],[1,
3,21,63,5,8,1,1,9,6,63,9,63,9,54,81,27,15,3,18,9,24,24,54,72,21,3,27,9,9,27,
27,81,27,27,27,54,4,5,1,1,2,3,3,8,6,9,9,9,9,9,18,18,54,54,72,72,1,9,9,27,27,
27,27,4,12,12,3,3,3,3,3,6,6,18,9,9,9,9,9,9,9,9,9,24,18,18,18,9,1,4,12,12,1,1,
2,3,3,9,9,9,9,9,9,18,18,1,4,3,3,3,3,6,1,3,3,1],[1,3,3,18,9,54,4,1,8,1,1,9,9,6,
9,27,27,9,9,54,54,54,54,12,3,3,6,9,36,12,18,24,24,72,9,3,3,27,9,18,27,27,27,
27,27,27,54,54,4,1,1,1,2,3,3,4,6,8,9,9,9,9,9,18,18,18,18,36,36,72,72,1,9,9,27,
27,27,27,4,12,12,3,3,9,3,3,3,6,6,6,9,9,9,9,9,9,9,9,12,18,18,18,24,9,1,4,12,12,
1,1,2,3,3,9,9,9,9,9,9,18,18,1,3,3,4,3,3,6,1,3,3,1],[1,1,3,6,39,18,5,8,1,3,6,3,
9,18,3,18,6,18,18,18,18,18,18,5,3,2,3,8,6,36,24,48,1,3,3,18,6,9,9,18,18,9,9,
18,18,36,4,1,1,2,4,1,3,6,3,6,3,6,6,12,6,6,18,6,6,6,24,3,3,9,9,9,9,9,4,8,8,1,1,
2,2,3,3,6,6,3,3,3,3,6,12,12,6,6,6,6,12,9,1,4,4,4,1,1,3,3,3,3,3,3,3,3,6,1,2,2,
4,3,3,1,1,1,1],[1,3,9,27,4,4,32,1,1,3,6,27,3,27,9,18,27,9,12,4,36,12,9,3,9,3,
9,9,9,27,9,9,9,18,16,1,4,1,8,4,8,12,12,12,24,12,1,3,3,9,9,9,9,16,1,9,3,4,3,12,
3,4,4,1,1,2,3,3,3,3,4,4,1,3,1,1],[1,3,7,21,36,4,1,8,1,3,21,18,18,21,6,18,6,27,
18,18,3,1,2,3,24,28,12,6,8,48,7,9,18,3,3,9,27,9,18,18,18,36,4,1,1,2,1,3,3,6,3,
6,4,12,6,6,6,6,6,6,6,6,12,24,3,3,9,9,9,9,9,4,8,8,7,6,1,2,2,6,3,3,3,3,3,3,12,6,
6,6,6,12,12,9,1,4,4,4,1,3,1,3,3,3,3,3,3,3,6,1,2,2,4,3,3,1,1,1,1],[1,3,3,6,9,
18,4,4,32,1,1,3,3,6,9,9,9,9,9,18,18,18,18,4,12,12,12,24,3,3,3,9,9,6,9,9,9,9,9,
9,18,18,16,1,4,1,8,4,8,12,12,24,12,12,1,3,3,9,9,9,9,16,1,3,3,3,4,12,6,3,4,4,1,
1,2,3,3,3,3,4,4,1,3,1,1],[1,3,3,12,9,4,1,8,1,1,6,6,6,9,9,9,6,6,6,6,8,3,3,9,12,
24,12,6,3,3,3,3,3,3,9,6,6,6,12,4,1,1,1,2,4,6,8,9,9,9,4,4,6,6,6,6,6,6,1,3,3,3,
3,3,3,12,8,2,3,3,3,6,9,3,3,3,3,4,6,6,6,6,12,3,1,4,4,4,1,1,2,1,1,3,3,3,3,3,3,3,
2,4,1,3,1,1,1,1],[1,3,3,6,9,18,5,8,1,1,3,3,6,9,9,9,9,9,18,18,18,18,15,3,2,9,
24,6,24,3,3,3,9,9,6,9,9,9,9,9,9,18,18,4,5,1,1,2,1,1,8,6,9,9,3,9,3,12,12,6,6,6,
6,1,3,3,9,9,9,9,12,8,3,1,3,3,2,6,3,3,3,9,3,3,3,3,6,12,6,6,3,1,4,4,4,1,1,2,1,1,
3,3,3,3,3,3,3,2,4,1,3,1,1,1,1],[1,1,21,18,21,18,5,8,1,9,9,21,9,9,3,42,6,42,27,
9,18,54,18,54,5,3,18,10,3,24,8,6,18,36,24,1,9,21,9,3,6,6,18,6,9,27,9,9,9,9,18,
18,18,18,18,54,18,18,4,1,1,2,3,5,3,3,3,3,3,3,6,18,6,6,6,18,6,6,6,6,12,36,12,
36,24,3,9,3,9,9,9,9,18,18,18,18,4,4,4,16,3,3,1,1,2,6,2,2,3,3,3,3,3,3,3,3,3,3,
6,6,6,6,6,6,6,18,6,6,6,6,6,6,6,12,9,1,4,8,8,8,1,1,3,3,3,3,3,3,3,3,6,6,6,6,6,6,
6,1,1,1,4,2,2,3,3,1,1,1,2,2,1],[1,3,9,27,4,4,32,1,3,1,18,27,3,27,27,6,9,9,4,
12,36,12,9,9,3,3,27,9,9,9,9,9,9,18,16,1,1,12,4,8,4,8,12,12,12,24,3,1,3,9,9,9,
9,16,9,1,3,3,4,12,3,4,4,3,1,1,2,3,3,3,4,4,1,3,1,1],[1,3,7,30,21,18,4,1,8,1,15,
15,3,21,9,9,21,42,18,42,27,54,54,20,3,1,2,6,3,12,28,6,6,24,8,12,24,15,7,9,21,
9,21,42,18,27,27,27,27,27,54,4,1,1,2,1,3,3,3,3,3,3,3,12,28,6,6,6,6,6,6,6,6,6,
6,12,12,12,12,36,24,3,9,9,21,27,27,27,4,4,4,8,8,5,7,3,1,3,6,2,2,3,3,3,3,3,3,3,
3,3,12,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,9,1,4,4,4,8,8,7,3,1,9,3,3,3,3,3,3,6,6,6,
6,6,1,1,1,2,2,4,3,3,1,1,1,2,2,1],[1,3,9,27,4,1,8,1,1,3,6,27,3,27,9,18,27,9,3,
3,2,9,36,6,24,9,3,9,3,9,9,9,27,9,9,9,18,4,1,1,1,2,1,1,4,6,8,9,3,9,3,9,12,6,6,
6,6,12,1,3,3,9,9,9,9,12,8,1,9,3,3,6,2,9,3,3,3,3,3,3,3,6,6,12,3,1,4,4,4,1,1,2,
3,1,1,3,3,3,3,3,3,2,4,1,3,1,1,1,1],[1,1,3,12,39,5,8,1,6,3,3,9,18,3,6,6,18,6,
18,18,5,3,8,3,8,36,12,48,1,3,3,6,18,6,18,18,9,9,9,9,18,4,1,1,2,1,4,3,6,3,6,3,
6,6,12,6,6,6,18,24,3,3,9,9,9,9,9,4,8,8,1,1,2,2,6,6,3,3,3,3,3,3,6,12,6,6,6,6,
12,9,1,4,4,4,1,1,3,3,3,3,3,3,3,3,6,1,2,2,4,3,3,1,1,1,1],[1,3,1,18,3,18,4,1,8,
1,9,9,3,9,3,9,3,6,6,9,18,18,12,3,1,6,3,12,4,6,24,8,24,9,1,9,3,3,9,9,9,9,9,9,
18,18,4,1,1,2,3,3,1,3,3,3,3,3,4,6,6,6,6,12,12,24,3,3,9,9,9,9,9,4,4,4,3,1,3,1,
3,6,2,3,3,3,3,3,3,3,3,3,6,6,6,12,9,1,4,4,4,1,1,3,3,3,3,3,3,3,3,6,1,1,1,4,3,3,
1,1,1,1],[1,3,1,12,3,36,4,1,8,1,6,6,3,18,3,18,3,6,6,9,18,18,8,3,1,3,24,4,12,8,
12,48,6,1,3,18,3,6,9,9,9,9,18,18,18,4,1,1,2,1,3,3,6,3,6,4,6,6,6,6,6,6,12,12,
24,3,3,9,9,9,9,9,4,8,8,2,1,6,1,2,6,3,3,3,3,3,3,6,6,12,6,6,6,12,9,1,4,4,4,1,1,
3,3,3,3,3,3,3,3,6,1,2,2,4,3,3,1,1,1,1],[1,3,3,9,36,4,4,32,1,1,9,18,18,9,18,6,
18,9,18,18,24,12,12,24,96,3,3,18,9,9,9,9,9,18,18,18,36,16,1,1,4,8,12,12,12,4,
8,12,24,1,9,9,9,9,9,9,16,3,6,3,12,6,24,12,24,24,9,4,4,3,1,1,2,3,3,3,4,4,3,3,6,
1,1],[1,3,3,12,9,5,8,1,1,6,6,6,9,9,9,6,6,6,6,15,3,8,9,24,12,6,3,3,3,3,3,3,9,6,
6,6,12,4,5,1,1,2,4,4,8,6,9,9,9,6,6,6,6,6,6,1,3,3,3,3,3,3,12,8,3,4,3,3,2,6,9,3,
3,3,3,6,6,6,6,12,3,1,4,4,4,1,1,2,1,1,3,3,3,3,3,3,3,2,4,1,3,1,1,1,1],[1,1,21,
21,5,8,1,9,9,21,9,9,3,6,27,9,5,3,18,3,24,8,18,24,1,9,3,9,21,9,9,27,9,9,9,4,1,
1,2,3,5,3,3,3,3,3,3,6,18,18,6,24,9,3,3,9,9,9,9,4,4,4,3,3,1,1,6,2,3,3,3,3,3,3,
3,3,3,3,6,6,18,9,1,4,8,1,1,3,3,3,3,3,3,3,3,6,1,1,1,4,3,3,1,1,1,1],[1,3,3,18,9,
6,4,4,32,1,9,9,1,9,3,3,9,18,6,18,9,18,18,12,4,12,12,24,9,3,3,9,3,9,18,6,9,9,9,
9,9,18,16,1,1,4,8,4,12,8,12,12,12,24,1,3,3,9,9,9,9,16,3,3,1,3,4,6,12,3,4,4,3,
1,1,2,3,3,3,4,4,1,3,1,1],[1,3,3,12,9,1,16,32,1,1,6,6,6,9,9,9,6,6,6,6,3,3,9,16,
12,6,3,3,3,3,3,3,9,6,6,6,12,16,1,1,4,6,4,8,9,9,9,8,6,6,6,6,6,6,12,24,1,3,3,3,
3,3,3,16,3,3,4,9,3,3,3,3,6,6,6,6,4,4,12,3,4,4,12,1,1,2,3,3,3,3,3,3,4,4,4,1,3,
1,1],[1,3,3,6,9,18,4,4,32,1,1,3,3,6,9,9,9,9,9,18,18,18,18,12,4,12,24,12,3,3,3,
9,9,6,9,9,9,9,9,9,18,18,16,4,1,1,4,8,8,12,12,24,12,12,1,3,3,9,9,9,9,16,3,1,3,
3,12,6,4,3,4,4,1,1,2,3,3,3,3,4,4,1,3,1,1],[1,3,9,12,27,12,2,2,1,6,6,27,6,9,6,
27,18,18,27,18,18,6,6,4,6,6,18,4,12,18,12,6,9,9,6,9,18,9,9,27,27,18,18,18,1,2,
2,2,2,2,2,18,6,6,18,12,18,12,18,6,6,12,12,9,9,9,9,9,9,9,1,3,3,4,4,2,6,2,6,6,6,
6,6,6,6,6,6,6,6,9,1,1,3,3,3,2,2,2,2,2,2,2,2,6,6,1,1,1,1,1,3,3,2,2,2,2,2,2,1,1,
1,1,1,1,1,1],[1,3,9,27,4,4,32,1,1,3,6,27,3,27,9,18,27,9,4,12,36,12,9,3,9,3,9,
9,9,27,9,9,9,18,16,1,1,4,4,8,12,8,12,12,12,24,1,3,3,9,9,9,9,16,9,1,3,4,3,12,3,
4,4,1,1,3,2,3,3,3,4,4,1,3,1,1],[1,1,21,21,28,7,7,21,21,21,21,21,28,28,28,8,7,
7,21,21,21,21,21,7,7,28,8,21,8,7,7,7,7,7,7,8,7,7,1,1],[1,45,20,20,15,15,45,36,
60,60,45,10,36,15,15,10,15,15,10,6,6,1],[1,15,30,1,10,20,5,45,45,6,10,10,30,
15,60,30,45,10,6,5,5,10,15,15,30,6,10,10,10,18,15,15,30,6,5,10,1,6,5,3,1,1],[
1,25,1,10,20,5,15,15,6,10,20,25,20,15,10,6,5,10,5,10,15,15,6,10,20,6,5,15,6,5,
10,1,6,5,1,1,1],[1,15,3,45,1,10,20,5,45,45,6,1,10,15,15,30,30,60,15,10,6,18,
18,5,5,10,30,15,15,6,10,10,10,18,5,15,6,6,6,5,10,1,6,5,3,1,1],[1,15,30,1,10,
20,5,45,45,6,10,10,15,30,30,60,45,10,6,5,15,5,10,15,30,6,10,10,10,18,15,15,30,
6,5,10,1,6,5,3,1,1],[1,3,3,9,4,5,8,40,64,1,1,6,9,9,9,15,3,9,24,12,24,3,3,9,4,
20,32,64,64,1,5,1,1,10,2,4,8,6,8,8,16,9,9,9,16,24,48,1,12,12,3,3,3,3,6,6,9,16,
5,1,4,4,4,8,8,8,8,16,16,16,24,1,1,1,2,2,2,4,3,3,4,4,1,1,1,2,2,2,4,1],[1,3,9,
36,27,4,2,2,16,16,1,18,18,27,27,54,54,24,6,6,12,6,6,36,18,48,36,18,18,9,27,27,
54,1,8,8,16,16,1,2,4,6,6,2,4,36,18,18,18,18,36,18,36,18,27,1,8,3,3,24,24,12,
24,48,6,9,6,12,6,6,18,18,18,18,18,4,2,1,2,3,3,4,4,6,6,6,6,24,9,18,4,8,2,1,3,3,
6,6,6,6,6,12,1,4,3,6,1,2,1],[1,3,9,27,36,4,2,2,16,16,1,27,18,18,27,54,54,6,6,
6,24,6,36,18,12,18,36,48,9,18,27,27,54,1,8,8,16,16,1,2,4,2,4,6,6,18,18,18,36,
18,18,18,36,36,27,1,3,3,8,12,24,24,24,48,9,6,6,6,6,12,18,18,18,18,18,4,2,1,2,
3,3,4,4,6,6,6,6,24,9,18,4,8,1,2,3,3,6,6,6,6,6,12,1,4,3,6,1,2,1],[1,3,9,27,4,2,
2,16,16,1,27,9,27,27,6,6,6,6,36,18,18,9,27,27,1,8,8,16,16,1,2,4,2,4,18,18,18,
36,18,9,1,3,3,24,24,9,6,6,4,2,1,1,2,3,3,3,4,4,9,4,1,6,3,3,6,1,4,1,1,1],[1,21,
27,27,1,5,8,10,16,1,9,9,9,63,27,81,9,3,18,15,24,9,21,9,30,6,54,18,9,9,9,27,27,
27,27,4,5,8,16,16,1,1,2,3,3,1,2,2,3,9,21,4,9,9,9,9,18,9,54,9,27,18,18,27,4,5,
3,3,18,18,24,24,48,3,3,3,6,3,3,9,3,9,9,9,9,9,9,6,6,9,9,9,9,4,1,1,1,2,2,2,3,3,
3,12,3,3,3,4,18,6,9,9,9,4,8,1,1,1,3,3,3,3,3,3,3,3,3,3,6,6,6,1,4,3,3,3,1,1,1,
1],[1,3,25,75,10,1,5,15,30,75,15,75,45,90,135,45,6,30,10,20,30,60,25,15,45,15,
45,45,45,135,45,45,45,90,6,18,18,10,5,10,30,30,30,60,60,60,60,5,15,15,45,45,
45,45,6,6,18,18,18,5,10,15,20,15,30,30,60,15,6,18,18,5,10,15,15,1,6,5,1,3,3,1,
3,3,1],[1,1,15,20,35,10,5,10,1,15,15,10,15,30,30,30,30,30,30,6,10,10,20,20,30,
20,5,15,15,30,10,30,30,30,15,15,15,15,30,6,6,6,5,10,10,10,20,20,10,10,10,10,
20,20,15,5,15,15,15,15,15,6,6,6,12,12,5,10,10,10,10,10,10,10,10,10,15,6,6,6,5,
5,5,10,1,6,5,2,1,2,1,1,1,1],[1,3,15,2,45,30,10,1,5,1,1,30,45,15,15,45,45,30,
30,30,30,6,30,10,20,30,20,1,15,15,15,45,10,15,15,15,15,15,15,30,30,6,18,18,12,
12,10,5,10,10,30,10,10,30,20,20,5,5,5,15,15,15,15,6,6,6,6,18,6,18,12,12,15,10,
10,10,10,10,10,10,10,5,6,6,6,6,6,6,6,5,5,5,10,1,6,5,3,2,1,1,1,1],[1,1,15,2,35,
30,10,5,1,10,15,15,10,15,30,30,30,30,30,30,30,30,6,10,10,20,20,30,20,5,15,15,
10,10,15,15,30,30,15,15,30,30,60,6,6,6,12,12,5,10,10,10,20,20,10,10,10,10,20,
20,15,5,15,15,15,15,15,6,6,6,12,12,12,12,5,10,10,10,10,10,10,10,10,10,15,6,6,
6,5,5,5,10,1,6,5,2,1,2,1,1,1,1],[1,3,15,20,45,10,1,5,10,10,30,45,45,45,30,30,
30,30,6,30,10,20,30,20,10,15,15,15,15,15,15,45,30,30,30,60,6,18,18,10,5,10,10,
30,10,10,30,20,20,5,15,15,15,15,15,15,6,18,18,12,12,10,15,10,10,10,10,10,10,
10,15,6,6,6,5,5,5,10,1,6,5,3,2,1,1,1,1],[1,1,25,22,25,30,10,5,11,15,25,15,15,
15,50,30,50,45,15,30,90,30,90,6,10,10,20,20,10,20,20,40,5,15,25,15,15,30,10,
30,30,15,45,15,15,15,15,30,30,30,30,30,90,30,30,6,6,6,12,12,5,10,10,10,10,10,
20,20,20,20,20,20,20,40,40,40,40,15,15,5,15,15,15,15,30,30,30,30,6,6,6,6,6,12,
12,12,5,5,10,10,5,10,10,20,20,20,20,10,40,15,6,6,6,12,12,5,5,5,10,10,10,1,6,5,
1,1,1,2,2,1,1,1,2,2,1],[1,1,25,25,10,5,11,15,25,15,15,15,30,45,15,6,10,10,20,
10,20,5,15,15,15,25,15,15,45,15,15,15,6,6,6,5,10,10,10,10,10,20,20,20,15,15,5,
15,15,15,15,6,6,6,6,6,12,5,5,10,5,10,10,20,20,15,6,6,6,5,5,5,10,1,6,5,1,1,1,1,
1,1,1],[1,3,5,6,15,30,4,1,3,3,15,15,5,15,15,30,30,15,30,30,1,4,20,20,3,5,15,
15,15,15,15,15,15,15,15,30,30,1,3,3,6,6,1,20,20,20,4,15,5,15,15,15,15,15,1,1,
3,3,3,3,3,3,3,6,6,6,6,1,5,5,20,4,4,4,15,1,3,3,3,3,3,3,3,3,3,3,6,6,5,5,5,1,4,4,
4,1,3,3,3,3,3,3,5,1,1,1,4,3,1,1,1,1],[1,3,15,45,20,10,1,5,45,10,10,45,30,30,
30,45,30,30,6,10,30,20,30,20,15,15,10,15,15,15,45,15,30,30,30,60,6,18,18,5,10,
10,10,30,30,10,10,20,20,5,15,15,15,15,15,15,6,18,18,12,12,15,10,10,10,10,10,
10,10,10,15,6,6,6,5,5,5,10,1,6,5,3,2,1,1,1,1],[1,3,42,4,7,56,1,21,21,28,21,42,
1,21,28,1,7,14,21,21,3,6,28,1,4,8,7,21,1,3,3,7,3,4,6,3,4,7,1,1,2,3,3,4,1,3,1,
1],[1,21,1,28,56,7,7,21,28,21,8,21,28,7,7,7,7,14,14,21,28,8,8,16,7,7,21,7,7,8,
7,7,1,1],[1,3,21,18,63,18,5,8,1,1,9,9,9,6,63,9,9,9,63,9,42,6,54,42,6,81,27,18,
54,18,54,15,3,18,10,9,24,24,6,54,36,72,9,21,3,27,21,9,3,9,21,3,9,6,42,6,18,6,
9,27,27,27,27,27,27,81,27,9,27,27,12,18,18,18,18,54,18,18,54,18,18,36,4,5,1,1,
2,3,5,5,3,8,6,9,9,9,9,3,9,3,18,18,54,6,18,6,6,18,6,6,54,6,6,6,12,36,12,72,36,
72,1,9,9,3,9,3,3,3,3,21,3,9,3,9,9,9,27,9,9,9,27,27,27,27,9,9,9,9,9,27,27,9,9,
9,9,18,18,18,18,4,12,12,16,3,3,3,5,3,3,2,6,2,6,18,3,3,3,9,3,9,9,9,9,3,9,3,9,3,
3,3,9,9,3,3,24,6,6,6,6,6,18,6,18,18,6,6,18,6,18,18,6,6,6,6,6,6,6,18,6,18,6,12,
12,12,3,3,9,9,9,9,9,9,9,9,9,9,9,9,9,1,4,12,12,8,8,8,8,1,1,2,1,1,3,1,3,1,3,3,3,
3,3,9,3,3,9,3,3,3,3,3,3,9,3,9,3,3,3,3,3,3,3,3,3,3,9,3,3,3,3,9,18,6,18,6,6,6,6,
6,6,18,6,6,9,1,4,3,3,4,4,2,2,8,8,3,1,3,1,6,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,1,1,1,1,3,3,1,4,2,2,3,3,1,1,1,1,1,1,1,1],[1,3,9,18,27,42,4,4,32,1,3,9,9,1,
18,27,21,3,21,27,27,18,18,6,18,18,9,9,54,54,54,54,12,4,28,12,36,24,12,24,96,9,
9,9,3,9,21,9,3,9,9,27,18,18,18,6,18,27,27,27,9,9,27,27,9,9,27,9,9,36,18,18,18,
18,18,54,54,18,18,18,36,16,1,1,12,4,8,12,12,12,4,12,8,12,12,36,36,12,12,12,24,
24,24,3,1,3,9,3,9,9,9,9,9,9,3,9,9,9,9,9,9,9,27,9,9,9,9,9,9,9,9,27,9,27,27,9,9,
9,18,18,18,18,16,16,16,3,9,7,1,3,3,12,4,12,12,4,6,6,24,12,12,12,12,12,12,12,
12,12,24,24,9,9,3,3,9,9,9,9,9,9,9,9,9,9,9,4,4,16,3,3,3,1,1,2,9,9,3,3,3,3,3,3,
3,6,6,12,12,9,4,4,4,4,4,4,1,3,1,3,3,3,3,3,3,3,3,3,3,3,6,1,4,4,3,3,1,1,1,1],[1,
3,9,30,27,54,4,1,8,1,1,15,15,3,6,27,27,3,27,27,9,42,6,18,42,6,27,9,54,90,54,
90,20,3,3,2,6,9,36,36,18,6,24,24,12,72,15,9,3,9,21,27,3,3,21,3,9,6,42,18,18,6,
27,45,45,9,9,45,45,27,9,27,9,9,12,18,18,18,18,18,54,54,54,18,18,36,4,1,1,1,2,
1,3,3,1,4,6,8,9,3,9,3,9,9,9,4,12,28,6,6,6,6,6,6,6,6,6,18,6,18,18,18,12,12,12,
12,12,36,60,72,72,1,3,9,3,9,3,3,3,9,21,9,3,3,9,9,9,9,9,9,27,27,9,9,9,9,9,9,9,
27,27,45,27,9,9,9,18,18,18,18,4,12,12,8,8,5,1,9,9,3,3,3,6,6,6,2,9,9,9,9,3,3,3,
3,3,3,3,3,9,3,9,3,3,9,9,12,12,4,6,6,6,18,6,6,18,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,18,24,12,12,12,12,12,12,12,3,9,9,3,9,9,9,9,9,9,9,9,9,9,9,1,4,4,4,12,4,4,
12,8,8,1,1,2,7,1,3,3,1,3,1,3,3,3,9,3,3,3,3,3,15,9,3,3,3,3,3,3,3,3,3,3,3,3,3,9,
3,9,3,3,3,3,9,3,6,6,6,6,6,18,18,6,6,6,12,9,1,3,3,4,2,2,4,4,4,4,4,4,3,1,1,3,3,
6,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,1,1,3,3,2,2,4,3,3,1,1,1,1,1,1,1,1],[
1,3,9,42,27,18,4,4,32,1,1,21,21,3,6,27,9,3,9,27,9,54,18,18,54,18,27,9,18,54,
18,54,28,12,4,24,12,36,12,96,24,21,9,3,9,27,9,9,3,27,9,9,18,54,6,18,18,9,27,
27,9,9,27,27,27,9,9,9,9,36,18,18,18,18,18,18,18,54,18,18,36,16,1,4,1,8,12,12,
4,8,12,12,36,12,12,12,12,24,24,12,24,12,36,1,3,9,9,9,9,9,9,3,27,3,3,9,9,9,9,9,
9,9,9,27,9,9,9,9,9,9,9,9,27,27,9,9,9,9,18,18,18,18,16,16,16,7,1,9,3,12,3,24,6,
4,3,4,12,12,12,12,12,12,6,12,24,24,12,12,12,12,9,3,9,3,9,9,9,9,9,9,9,9,9,9,9,
4,4,16,1,1,2,9,3,3,3,3,3,3,3,9,3,3,3,6,12,6,12,9,4,4,4,4,4,4,3,1,3,3,1,6,3,3,
3,3,3,3,3,3,3,1,4,4,3,3,1,1,1,1],[1,3,21,63,28,1,7,7,42,63,21,63,63,42,63,63,
28,84,84,8,21,21,21,21,63,63,63,63,63,63,63,126,7,7,28,84,84,24,7,7,21,63,63,
63,63,8,7,7,21,21,21,28,21,8,21,24,7,7,21,21,21,21,8,7,7,1,3,1],[1,3,15,45,4,
10,80,1,5,30,45,45,45,6,30,10,60,30,15,15,45,40,6,18,18,1,10,5,20,20,40,30,30,
120,24,5,40,6,18,18,15,15,10,24,10,20,6,5,5,10,1,6,10,3,6,5,4,1,1],[1,1,45,45,
20,20,15,15,45,45,45,45,45,36,20,60,60,20,60,60,15,15,45,45,45,45,45,10,36,36,
36,15,15,60,60,45,10,10,10,36,15,15,15,15,15,15,10,10,10,15,15,6,6,10,6,6,1,
1],[1,45,15,15,20,20,15,15,45,45,45,45,45,36,60,20,60,20,60,60,45,45,15,15,45,
45,45,10,36,15,15,60,60,45,10,20,20,36,15,15,15,15,15,15,10,10,10,15,15,6,6,
10,6,6,1,1],[1,3,15,45,4,10,80,1,5,45,45,30,45,6,10,30,60,30,15,15,45,40,6,18,
18,1,5,10,20,20,40,30,30,120,24,5,40,6,18,18,15,15,10,24,10,20,6,5,5,10,1,6,
10,6,3,5,4,1,1],[1,25,33,45,1,10,20,5,15,15,45,75,45,135,6,11,10,20,30,15,25,
30,60,20,60,60,15,45,15,45,45,45,45,10,6,18,18,5,10,5,10,15,15,25,30,30,60,15,
60,15,45,60,6,45,10,10,10,20,20,6,18,18,5,15,5,15,15,30,15,30,15,15,15,15,6,6,
6,5,10,10,10,20,20,18,15,15,1,6,6,6,5,5,5,10,1,3,3,6,5,1,3,1,1,1,1],[1,3,3,36,
9,4,5,8,40,64,1,1,18,18,6,9,9,9,18,18,18,18,24,15,3,24,9,24,12,96,24,36,18,3,
3,9,9,9,9,9,18,18,18,36,4,20,32,64,64,1,5,1,1,10,2,12,12,4,8,6,8,8,16,9,9,9,
12,12,16,18,18,18,18,18,18,24,48,1,9,9,9,9,9,9,16,12,12,24,24,96,6,3,3,12,3,3,
24,6,6,6,9,9,9,9,9,12,18,18,18,18,24,24,36,16,9,5,1,4,4,4,8,8,8,8,16,16,12,12,
12,12,16,24,1,1,1,2,2,2,3,3,3,3,4,9,9,9,9,9,9,16,4,3,3,4,6,6,12,12,24,24,24,3,
3,6,9,4,4,1,1,1,2,2,2,3,3,3,3,4,4,4,1,3,3,6,1,1],[1,3,3,18,9,54,4,5,8,40,64,1,
1,9,9,6,9,27,27,9,9,54,54,54,54,12,15,3,6,9,36,24,12,18,24,24,72,72,9,3,3,27,
9,18,27,27,27,27,27,27,54,54,4,20,32,64,64,1,5,1,1,10,2,3,3,4,8,6,8,8,16,9,9,
9,9,9,16,36,36,18,18,18,18,24,36,36,48,72,72,1,9,9,27,27,27,27,4,12,12,12,48,
24,96,3,3,9,3,3,3,3,6,6,6,6,9,9,9,9,9,9,9,9,12,18,18,36,18,18,24,16,9,5,1,4,4,
4,8,8,8,8,16,16,12,12,12,12,16,24,1,1,1,2,2,2,3,3,4,9,9,9,9,9,9,9,9,18,18,16,
1,3,3,3,4,12,6,12,12,24,24,3,3,6,9,4,4,1,1,1,2,2,2,3,3,3,3,4,4,4,1,3,3,6,1,
1],[1,3,21,63,4,5,8,40,64,1,1,9,6,63,9,63,9,54,81,27,15,3,18,9,24,24,84,54,24,
72,21,3,27,9,9,27,27,81,27,27,27,54,4,20,32,64,64,1,5,1,1,10,2,3,3,4,8,6,8,8,
16,9,9,9,9,9,36,16,18,18,54,54,24,72,36,72,48,1,9,9,27,27,27,27,4,12,12,12,72,
96,3,3,21,3,3,3,6,6,6,18,9,9,9,9,9,9,9,9,9,24,18,18,18,36,16,9,5,1,4,4,4,8,12,
12,8,8,8,16,16,12,12,16,24,1,1,1,2,2,2,9,3,3,4,9,9,9,9,9,9,9,18,18,16,1,4,3,3,
3,18,12,24,12,24,3,3,6,9,4,4,1,1,1,2,2,2,3,3,3,3,4,4,4,1,3,3,6,1,1],[1,3,9,36,
27,36,4,2,2,16,16,1,18,18,27,18,9,18,27,54,54,27,54,54,24,6,6,12,6,24,6,36,18,
12,48,36,18,36,48,18,9,27,18,27,54,27,27,27,27,54,54,54,1,8,8,16,16,1,2,4,6,6,
2,4,6,6,36,18,18,18,18,36,18,36,36,36,18,18,18,36,36,27,9,27,27,27,27,27,1,8,
3,3,8,12,24,24,12,24,24,48,48,6,9,6,6,12,6,6,6,18,18,18,18,18,12,18,18,18,18,
18,36,4,27,2,1,1,2,3,3,3,4,4,6,6,6,6,6,6,6,6,24,24,9,9,9,18,18,4,8,8,2,1,2,3,
3,3,3,6,3,3,6,6,6,6,6,6,6,6,6,12,12,9,1,4,4,4,1,3,3,3,3,3,3,6,6,1,2,2,4,3,1,1,
1,1],[1,3,25,22,75,30,10,1,5,11,11,15,30,75,15,15,15,75,45,50,30,90,50,30,135,
45,30,90,30,90,6,30,10,20,20,30,20,60,40,11,25,15,45,25,15,15,15,25,15,45,30,
50,10,30,30,15,45,45,45,45,45,45,135,45,15,45,45,60,30,30,30,30,90,30,30,90,
30,30,60,6,18,18,12,12,10,5,10,10,10,30,30,10,30,10,60,60,60,20,20,20,20,20,
60,20,40,40,40,40,5,15,15,15,15,15,15,15,5,25,5,15,15,15,15,15,45,15,15,15,45,
45,45,45,15,15,15,15,15,45,45,15,15,15,15,30,30,30,30,6,6,6,6,6,18,6,18,18,12,
12,12,12,5,10,10,15,10,20,10,10,10,10,15,30,10,10,30,10,20,20,20,20,20,20,20,
20,20,20,20,10,20,60,40,15,5,15,15,15,15,15,15,15,15,15,15,15,15,15,6,6,6,18,
6,6,6,6,6,18,6,12,12,5,5,10,5,15,5,5,10,15,10,10,10,10,10,20,20,10,20,20,10,1,
15,6,6,6,6,6,6,6,5,5,5,5,5,10,5,5,1,3,3,2,2,6,5,1,1,3,1,1,1,3,2,2,1,1,1,1,1,1,
1,1],[1,45,1,20,20,40,40,15,15,45,36,60,60,45,45,10,20,20,40,40,36,15,15,15,
30,15,30,45,36,10,60,60,15,15,45,10,36,10,15,15,10,6,6,15,15,10,6,6,1,1],[1,3,
45,135,20,20,1,15,15,90,135,45,135,135,90,135,135,36,60,60,60,60,180,180,45,
45,45,45,135,135,135,135,135,135,135,270,10,36,108,108,20,15,15,20,180,180,
180,180,15,15,45,135,135,135,135,10,30,30,36,108,108,15,45,15,60,45,45,45,60,
45,10,10,30,30,30,36,15,15,45,45,45,45,6,6,10,30,30,15,15,18,18,10,6,6,1,3,
1],[1,3,15,6,45,90,4,10,80,1,5,3,3,30,45,45,45,45,45,90,90,90,90,6,4,30,10,60,
60,60,30,60,240,3,15,15,45,45,30,45,45,45,45,45,45,90,90,40,6,18,18,36,36,1,
10,5,20,20,40,30,30,30,30,30,30,120,60,60,60,60,24,5,15,15,45,45,45,45,40,40,
40,6,18,18,18,18,18,18,36,36,1,15,15,15,10,30,20,30,30,60,30,30,30,30,24,24,
24,15,10,20,40,6,18,18,18,18,18,18,5,5,10,15,15,15,15,30,1,6,24,10,10,10,20,
18,5,15,3,6,6,6,6,5,10,4,1,3,3,6,5,4,3,1,1],[1,3,25,75,4,10,80,1,5,15,30,75,
15,75,45,90,135,45,6,30,10,20,30,100,60,80,25,15,45,15,45,45,45,135,45,45,45,
90,40,6,18,18,1,10,5,20,10,20,40,30,30,30,60,60,60,60,60,120,60,24,5,15,15,45,
45,45,45,40,80,6,6,18,18,18,5,25,10,15,20,20,15,30,30,60,60,24,15,10,20,40,6,
18,18,5,5,10,15,10,15,15,15,1,6,24,10,20,20,6,5,15,1,3,3,6,5,10,4,1,3,3,6,5,4,
1,1,1],[1,3,15,60,45,4,10,80,1,5,30,30,30,45,45,45,90,90,90,90,6,40,30,10,60,
60,30,240,60,30,15,15,45,45,45,45,45,90,90,90,180,40,6,18,18,1,10,5,20,30,30,
20,40,60,60,30,30,30,30,120,60,60,24,5,45,45,45,45,45,45,40,40,40,6,18,18,36,
36,10,15,30,15,60,30,10,60,30,30,30,30,30,120,120,24,45,10,20,40,6,18,18,5,5,
10,15,15,15,15,30,1,6,24,10,20,10,10,18,15,15,30,3,6,6,5,10,4,1,3,3,6,5,4,3,1,
1],[1,1,45,45,20,20,15,15,15,45,15,45,45,90,45,45,36,20,60,60,20,60,60,15,15,
45,45,45,45,45,45,45,45,45,10,36,36,36,15,15,20,20,60,60,60,60,15,45,15,45,45,
45,45,10,10,10,36,72,15,15,15,15,15,15,60,60,45,10,10,10,20,20,36,15,15,15,15,
15,15,6,6,10,10,10,15,15,6,6,10,6,6,1,1,1],[1,1,45,30,45,30,20,20,15,15,15,45,
45,15,45,90,90,90,45,45,90,90,90,90,36,20,60,40,60,20,60,40,120,60,120,15,15,
45,45,45,90,30,30,90,45,45,45,45,45,45,90,90,90,90,90,90,90,90,10,36,36,36,15,
15,20,20,60,60,120,120,60,60,120,120,45,15,15,45,45,45,45,90,90,90,90,10,10,
10,40,40,36,72,15,15,15,30,15,15,15,30,30,60,30,60,45,10,10,10,20,20,20,20,20,
20,36,15,15,15,15,15,15,30,30,30,30,6,6,10,10,10,20,20,15,15,6,12,6,12,10,6,6,
1,1,2,1],[1,3,15,45,60,4,10,80,1,5,45,30,30,45,90,30,90,45,90,90,6,10,40,30,
60,60,30,60,240,15,15,30,45,45,45,45,45,90,90,90,180,40,6,18,18,1,5,10,20,30,
60,30,20,40,30,60,30,30,30,60,60,120,24,5,45,45,45,45,45,45,40,40,40,6,18,18,
36,36,15,10,15,30,10,30,60,60,30,30,30,30,30,120,120,24,45,10,20,40,6,18,18,
15,5,5,10,15,15,15,30,1,6,24,10,10,20,10,18,15,15,30,6,3,6,5,10,4,1,6,3,3,5,4,
3,1,1],[1,3,21,54,63,54,4,5,8,40,64,1,1,27,27,9,6,63,27,9,27,63,9,126,18,54,
126,18,81,27,54,162,54,162,36,15,3,18,30,9,24,36,24,84,18,54,120,24,108,72,72,
27,21,3,27,63,27,9,9,63,9,9,18,126,18,54,18,27,81,81,27,27,81,81,81,27,27,27,
27,36,54,54,54,54,54,54,54,162,54,54,108,4,20,32,64,64,1,5,1,1,10,2,3,15,15,3,
4,8,6,8,8,16,9,9,9,9,9,9,9,12,36,84,16,18,18,54,18,54,18,18,54,18,18,54,18,18,
18,24,36,108,36,72,36,108,36,108,72,48,72,72,1,9,27,9,27,9,9,9,9,63,9,9,9,27,
27,27,27,27,27,27,81,27,27,27,27,27,27,27,27,81,81,27,27,27,27,54,54,54,54,4,
20,12,12,12,12,72,72,48,96,192,9,3,3,21,9,3,15,3,3,6,30,6,6,6,6,18,9,9,9,9,9,
9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,12,36,12,24,18,18,18,18,18,54,18,18,18,18,18,18,
54,18,54,54,18,18,18,18,18,18,18,54,18,18,18,24,24,24,36,36,36,36,36,36,36,16,
9,9,27,9,27,27,27,27,27,27,27,27,27,27,27,5,1,4,4,4,8,12,12,8,8,8,16,16,12,12,
24,12,24,24,12,24,12,12,16,72,24,24,1,1,1,2,2,2,21,3,3,9,3,3,3,3,3,4,9,9,9,9,
9,9,9,9,9,9,9,27,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,18,18,18,
18,18,18,18,18,18,18,18,54,18,18,36,16,32,27,5,1,4,3,3,3,3,4,4,12,12,18,6,18,
6,12,12,12,24,24,12,12,12,24,12,12,24,24,48,24,24,9,3,3,3,3,3,3,6,6,6,9,9,9,9,
9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,4,4,16,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,
3,4,12,6,6,6,18,12,12,9,9,9,4,4,4,4,8,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,6,6,6,
1,4,4,3,3,3,1,1,1,1],[1,3,21,63,4,28,224,1,7,7,42,63,21,63,63,42,63,63,28,84,
84,84,8,21,21,21,21,63,63,63,63,63,63,63,126,112,1,7,7,28,28,56,28,56,56,84,
84,84,168,168,24,7,7,21,63,63,63,63,112,8,32,64,21,7,7,21,21,21,28,21,84,8,21,
28,28,28,24,7,7,7,7,14,14,21,21,21,21,21,32,28,28,28,8,8,16,7,7,21,7,7,1,8,7,
7,3,4,1,1],[1,45,45,45,1,20,20,40,40,15,15,45,135,135,135,135,36,15,60,60,60,
15,45,60,120,180,180,120,45,135,45,45,135,135,135,10,20,20,40,40,36,15,15,15,
30,45,15,45,30,45,180,45,45,180,36,135,10,20,20,60,60,60,60,60,60,120,120,108,
15,15,45,15,15,45,45,45,45,90,45,45,45,45,90,10,36,10,15,30,30,15,60,60,45,45,
45,10,20,20,6,6,36,15,15,30,15,15,15,15,10,10,10,18,18,15,15,6,6,10,1,6,6,3,1,
1],[1,105,35,140,35,105,315,126,105,210,420,120,315,70,126,35,35,70,105,105,
105,70,126,120,105,105,105,210,35,70,21,42,35,21,30,7,1],[1,3,25,66,75,90,4,
10,80,1,5,33,33,15,30,75,45,15,45,75,45,150,90,90,150,90,135,45,90,270,90,270,
6,44,30,10,20,60,30,60,100,60,60,240,80,120,240,33,25,15,45,75,45,45,15,75,45,
45,90,150,30,90,90,45,135,135,45,45,135,135,135,45,45,45,45,180,90,90,90,90,
90,90,90,270,90,90,180,40,6,18,18,36,36,1,10,5,20,10,30,30,20,40,30,30,30,30,
30,60,60,100,60,60,60,60,60,60,60,60,60,60,120,120,120,120,60,120,60,180,240,
24,5,15,45,45,45,45,45,45,15,75,15,15,45,45,45,45,45,45,45,45,135,45,45,45,45,
45,45,45,45,135,135,45,45,45,45,90,90,90,90,40,40,40,80,80,6,6,18,18,18,18,18,
18,18,36,36,36,36,11,5,25,15,10,30,15,60,30,20,20,30,30,30,30,15,30,30,30,30,
30,20,60,60,60,60,60,60,60,60,60,60,60,60,60,60,30,60,60,120,120,60,120,60,60,
60,24,24,24,45,15,45,15,45,45,45,45,45,45,45,45,45,45,45,10,20,40,40,40,80,80,
6,18,18,18,18,18,18,18,18,18,18,36,36,5,5,10,25,15,15,15,10,15,15,15,15,45,15,
30,15,30,15,30,30,30,30,60,60,30,60,60,60,30,60,1,6,24,24,24,45,10,10,10,20,
20,20,20,20,40,6,18,18,18,18,18,18,15,5,15,15,5,30,15,15,15,15,15,15,30,15,15,
15,1,3,3,6,6,6,6,6,24,5,10,10,10,20,20,20,18,4,15,15,1,3,3,3,3,3,3,6,6,6,6,6,
5,5,5,10,4,4,4,1,3,3,3,3,3,3,6,5,1,4,3,1,1,1,1],[1,3,45,30,135,30,20,20,1,15,
15,15,15,90,135,15,45,15,135,135,90,90,90,90,90,135,135,90,90,90,90,36,60,60,
40,60,60,180,40,120,180,120,15,45,45,45,45,15,45,45,45,45,135,90,90,30,30,90,
45,45,45,135,135,45,45,135,135,45,135,135,180,90,90,90,90,270,90,90,90,90,90,
180,10,36,108,108,20,15,15,20,20,20,20,20,180,60,60,180,120,180,120,180,60,60,
120,120,15,15,15,45,15,45,45,45,15,45,15,45,45,45,45,45,135,45,45,45,45,135,
135,135,45,45,45,45,45,45,45,45,45,45,45,90,90,90,90,10,30,30,40,40,36,108,
108,72,72,15,20,45,15,30,60,45,45,45,20,60,60,30,30,60,60,60,30,60,60,60,60,
60,60,45,15,15,45,45,45,45,45,45,45,45,45,45,45,45,10,10,30,30,30,20,20,20,20,
20,20,20,20,36,36,36,15,15,15,15,45,15,15,15,45,15,15,45,45,15,30,30,30,60,30,
60,6,6,45,10,10,10,10,10,30,30,20,20,20,20,20,20,36,15,15,15,15,15,15,15,15,
15,15,15,15,15,15,18,12,18,12,10,10,10,10,10,10,10,15,15,6,6,6,6,6,6,10,1,6,6,
3,2,1,1,1,1],[1,3,45,135,4,20,20,160,160,1,15,15,90,135,45,135,135,90,135,135,
36,60,60,60,60,180,180,180,45,45,45,45,135,135,135,135,135,135,135,270,10,80,
80,160,160,36,108,108,1,20,15,40,15,60,20,120,40,60,180,180,120,360,180,180,
180,360,144,15,15,45,135,135,135,135,10,30,30,240,240,36,108,108,15,45,45,15,
60,45,45,45,60,180,40,144,45,20,10,10,60,20,30,30,30,40,40,60,36,15,15,30,15,
15,30,45,45,45,45,45,40,6,6,36,10,60,30,30,60,60,60,15,15,45,10,40,18,36,18,
15,10,15,24,24,10,6,6,15,15,1,10,6,3,6,4,1,1],[1,1,105,105,35,140,35,105,105,
315,105,315,315,126,35,105,210,105,420,140,210,420,120,35,105,315,315,315,315,
315,70,126,126,126,35,35,70,105,105,105,105,105,105,105,210,210,420,120,315,
70,70,70,126,126,126,120,105,105,35,35,105,210,70,105,105,105,105,105,105,105,
105,210,35,70,70,70,126,120,105,105,105,210,21,42,35,35,35,70,21,21,21,42,35,
30,21,30,7,7,1,1],[1,105,21,105,35,140,35,105,315,105,105,315,315,126,105,210,
35,420,105,140,210,420,120,315,105,105,105,315,315,315,70,126,126,126,35,35,
70,105,105,105,105,105,105,105,210,210,420,120,315,70,140,140,126,126,126,120,
105,105,105,35,210,35,105,105,105,105,105,105,105,105,35,70,70,70,126,120,105,
105,105,21,42,35,35,35,70,21,21,21,42,35,30,21,7,7,1,1],[1,105,1,35,140,70,
280,35,105,315,126,105,210,420,105,210,120,315,70,35,140,280,280,126,35,35,70,
105,105,105,35,70,70,105,140,210,315,126,70,105,210,420,126,120,120,240,105,
105,105,210,315,70,126,35,70,35,35,70,70,70,105,105,105,140,70,21,42,126,120,
35,105,105,105,210,35,70,21,30,21,42,35,7,21,30,7,1,1],[1,3,45,90,135,90,4,20,
20,160,160,1,15,45,45,15,90,135,45,45,45,135,135,270,270,90,270,270,135,135,
270,270,270,270,36,60,60,60,120,60,60,60,180,180,120,480,360,180,360,480,45,
45,45,45,135,45,135,45,135,135,135,270,270,90,90,270,135,135,135,135,135,135,
135,135,135,135,135,135,540,270,270,270,270,270,270,270,270,270,270,540,10,80,
80,160,160,36,108,108,1,20,15,40,15,60,60,60,20,120,40,60,180,60,60,180,180,
180,180,180,120,360,360,180,180,360,180,180,180,180,180,360,360,360,144,15,15,
45,135,45,135,135,135,45,135,45,45,135,135,135,135,135,135,135,135,135,135,
135,135,135,135,135,135,135,135,135,135,135,135,135,270,270,270,270,10,80,30,
30,80,120,240,240,120,240,240,480,480,36,108,108,216,216,15,15,45,15,60,45,15,
120,90,60,45,45,45,60,60,180,60,60,180,90,90,180,180,180,90,180,360,360,120,
180,180,180,180,180,180,180,180,180,360,360,40,144,135,45,45,45,135,135,135,
135,135,135,135,135,135,135,135,20,10,10,60,20,30,30,30,40,40,60,60,60,60,60,
60,60,60,60,240,240,36,108,108,15,15,30,45,45,45,15,15,45,30,45,45,45,45,45,
45,45,45,45,45,45,45,45,90,90,90,180,90,180,180,40,80,80,6,6,36,144,135,20,10,
60,20,30,30,30,30,60,30,30,60,60,60,60,60,60,60,60,60,60,60,60,60,60,120,120,
108,15,15,45,45,15,15,90,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,90,10,
40,40,40,18,36,36,18,36,15,10,15,30,30,30,30,30,30,60,60,60,60,24,24,45,45,45,
10,20,20,40,6,6,18,18,36,18,18,15,15,15,15,15,15,30,1,24,24,10,10,10,18,18,15,
15,6,3,6,6,10,4,1,6,3,3,6,4,3,1,1],[1,3,105,315,35,140,1,35,105,210,315,315,
315,315,630,945,945,126,105,105,210,315,420,420,630,1260,120,105,105,315,315,
315,945,945,945,945,945,945,1890,70,126,378,378,35,35,35,70,105,105,105,140,
210,315,315,315,315,315,630,630,630,630,1260,1260,360,35,105,315,945,945,945,
945,70,210,210,126,126,378,378,378,120,105,105,105,105,105,105,210,210,210,
315,315,315,315,315,315,315,315,315,315,315,420,630,630,630,120,315,35,70,70,
210,210,210,126,378,378,360,35,35,70,105,105,105,315,315,315,315,315,315,315,
315,630,630,21,42,35,70,105,105,210,210,126,120,105,105,105,210,21,63,63,126,
35,70,105,105,30,21,42,63,63,35,90,7,21,30,21,7,1,3,1],[1,1,105,105,35,140,35,
21,105,105,105,315,105,210,315,315,126,35,105,210,105,420,140,210,420,120,35,
105,105,315,105,315,315,315,315,315,315,70,126,126,126,35,35,70,105,105,35,
105,105,105,105,105,105,140,210,210,210,210,420,420,120,105,105,105,315,315,
315,315,70,70,70,126,126,126,126,126,252,120,105,105,35,35,105,210,70,105,105,
105,105,105,105,105,105,105,105,105,105,210,210,210,420,120,315,35,70,70,70,
140,140,126,126,126,120,35,35,105,105,105,105,105,105,105,105,105,105,105,210,
21,42,35,35,35,70,70,70,126,120,105,105,105,21,21,21,42,35,35,35,70,30,21,21,
21,42,35,30,7,21,7,7,1,1,1],[1,1,105,42,105,210,35,140,35,21,105,105,315,105,
105,210,210,210,315,315,630,630,630,630,126,35,105,210,70,105,420,140,210,210,
280,420,420,840,120,35,105,105,315,105,210,210,210,210,315,315,315,315,315,
315,630,630,630,630,630,630,630,630,70,126,126,126,252,252,35,35,70,105,105,
35,105,105,105,105,105,105,140,210,210,210,210,210,210,210,210,210,210,420,
420,420,420,420,420,840,840,120,240,105,105,105,315,315,315,315,630,630,630,
630,70,70,70,280,280,126,126,126,126,126,252,252,252,120,105,105,35,35,105,70,
210,70,70,105,105,105,105,105,105,105,105,105,105,105,105,210,210,210,210,210,
210,210,210,210,210,210,210,210,210,210,210,210,420,420,120,315,35,70,70,70,
140,140,140,140,140,140,126,126,126,252,252,120,240,35,35,105,105,105,105,105,
105,105,105,105,105,105,210,210,210,210,210,210,210,210,210,21,42,35,35,35,70,
70,70,70,70,140,140,126,120,105,105,105,21,21,21,42,42,42,84,35,35,35,70,70,
70,30,21,21,21,42,42,42,35,30,7,21,7,14,7,1,1,2,1],[1,105,63,315,1,35,140,70,
280,35,105,315,315,315,945,945,126,21,105,210,105,420,105,105,315,420,210,210,
630,1260,630,840,120,315,315,315,315,945,945,945,70,35,140,280,280,126,378,
378,35,35,70,105,105,105,35,70,70,105,105,105,140,315,315,315,315,210,630,315,
630,315,315,1260,630,630,360,126,945,70,35,105,105,140,420,210,210,420,420,
420,840,840,126,378,378,120,120,240,105,105,105,105,210,105,105,105,105,315,
315,315,315,315,315,315,315,210,210,315,315,315,315,630,70,126,126,126,35,70,
35,35,70,70,70,105,105,210,105,210,105,105,105,105,140,210,210,420,378,120,
360,315,315,315,315,70,140,140,21,42,126,126,126,120,35,35,35,105,105,105,210,
105,105,105,105,105,105,105,105,105,105,210,210,210,35,70,70,70,21,63,63,126,
126,120,105,105,105,105,30,21,42,35,35,35,70,63,7,21,21,21,42,35,30,21,21,7,7,
1,3,1,1],[1,3,105,42,315,210,35,140,1,35,21,21,105,210,315,105,315,105,315,
315,210,210,630,210,210,945,945,630,630,630,630,126,105,105,210,70,315,420,
420,210,630,280,420,1260,840,120,21,105,105,315,105,105,105,315,105,105,315,
210,210,210,210,210,315,315,315,945,945,315,315,945,945,315,945,945,420,630,
630,630,630,1890,630,630,630,630,630,1260,70,126,378,378,252,252,35,35,35,70,
105,105,35,35,105,140,210,315,315,315,315,105,315,105,140,140,630,630,630,210,
210,210,210,210,210,210,630,210,210,210,420,420,420,1260,420,1260,420,420,840,
840,360,240,35,105,105,105,105,105,105,105,105,105,105,315,105,315,315,315,
945,315,315,315,315,945,945,945,315,315,315,315,315,315,315,315,315,315,315,
630,630,630,630,70,210,210,280,280,126,126,126,126,126,378,126,378,378,252,
252,252,252,120,105,105,105,35,105,105,105,70,210,70,210,210,105,105,105,315,
105,315,315,315,315,315,105,315,105,315,105,105,105,315,315,105,315,105,140,
420,210,210,210,210,210,210,210,630,210,630,210,210,210,210,210,210,210,210,
210,210,210,210,210,210,210,210,630,210,420,420,420,420,420,420,420,420,120,
120,120,105,105,105,315,315,315,315,315,315,315,315,315,315,315,315,35,70,70,
210,210,210,140,140,140,140,140,140,140,140,126,126,126,378,126,126,126,126,
126,378,126,252,252,360,240,35,35,70,35,105,35,105,35,105,35,105,105,105,105,
105,315,105,105,315,105,105,105,105,105,105,105,315,105,315,105,105,105,315,
105,105,105,105,105,105,105,105,105,315,315,105,105,105,105,105,315,630,210,
630,210,210,210,210,210,210,210,210,210,210,210,420,120,21,42,315,35,70,105,
105,70,70,70,70,210,210,70,70,140,140,140,140,140,140,126,126,126,126,126,126,
126,120,120,120,105,35,105,105,35,210,105,105,105,105,105,105,105,105,105,105,
105,105,105,105,105,105,105,105,105,105,105,105,105,105,21,63,63,42,126,42,84,
35,70,35,35,35,105,105,35,70,70,70,70,70,70,70,70,126,30,120,105,105,105,21,
42,21,63,21,21,21,63,42,42,42,42,35,35,35,35,35,35,35,70,90,7,21,21,21,21,21,
21,21,42,35,30,21,14,21,7,7,7,1,7,3,2,1,1,1,1],[1,3,105,315,4,35,140,280,1120,
1,35,105,210,315,315,315,315,630,945,945,126,105,105,210,315,420,420,420,630,
840,1260,120,105,105,315,315,315,945,945,945,945,945,945,1890,70,140,560,1120,
1120,126,378,378,1,35,35,35,70,70,105,105,105,140,140,210,280,280,280,315,315,
315,315,315,420,560,630,630,630,630,840,840,1260,1260,1260,1680,2520,360,504,
35,105,315,945,945,945,945,70,210,210,420,840,1680,126,126,378,378,378,120,
480,960,105,105,105,105,105,105,105,210,210,210,210,315,315,315,315,315,315,
315,315,315,315,315,420,630,630,630,1260,280,120,504,315,35,35,70,70,140,140,
140,210,210,210,280,280,280,280,280,420,420,420,560,840,126,378,378,360,35,35,
35,70,70,70,105,105,105,105,140,210,315,315,315,315,315,315,315,315,315,630,
630,280,21,42,126,504,480,35,70,105,105,105,210,210,210,420,420,420,420,840,
126,120,120,240,105,105,105,210,315,70,140,280,21,63,63,126,126,35,35,35,70,
70,70,70,105,105,105,105,105,140,30,84,168,70,140,21,42,63,63,126,120,35,105,
105,105,210,90,7,84,35,70,21,120,30,21,21,42,35,28,7,21,30,1,7,3,4,1,1],[1,3,
105,126,315,630,4,35,140,280,1120,1,35,63,63,105,210,315,315,315,315,315,315,
630,630,630,630,630,945,945,1890,1890,1890,1890,126,84,105,105,210,210,315,
420,420,420,420,630,630,840,840,840,1260,1260,2520,2520,3360,120,63,105,105,
315,315,315,315,315,315,315,315,630,630,630,630,630,945,945,945,945,945,945,
945,945,945,945,945,945,1260,1890,1890,1890,1890,1890,1890,1890,1890,1890,
1890,3780,70,140,560,1120,1120,126,378,378,756,756,1,35,35,35,70,70,105,105,
105,105,105,140,140,210,280,280,280,315,315,315,315,315,315,315,420,420,420,
420,420,560,630,630,630,630,630,630,630,630,630,630,630,630,630,630,840,840,
1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1680,2520,2520,2520,
2520,2520,360,720,504,35,105,315,315,315,315,315,315,315,315,315,315,315,945,
945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,
945,945,1890,1890,1890,1890,70,140,210,210,420,420,560,840,840,840,840,1680,
1680,3360,3360,126,126,378,378,378,378,378,378,378,756,756,756,756,120,480,
960,21,105,105,105,105,105,105,105,105,105,210,210,210,210,210,210,210,315,
315,315,315,315,315,315,315,315,315,315,315,315,315,315,315,315,315,315,315,
315,315,420,420,420,420,420,630,630,630,630,630,630,630,630,630,630,630,630,
630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,840,840,
840,840,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,2520,2520,
280,120,360,360,504,504,504,315,315,315,315,945,945,945,945,945,945,945,945,
945,945,945,35,35,70,70,140,140,140,210,210,210,280,280,280,280,280,420,420,
420,420,420,420,420,420,420,420,420,420,420,420,420,560,840,840,840,1680,126,
378,378,378,378,378,378,378,378,378,378,756,756,360,480,720,35,35,35,70,70,70,
105,105,105,105,105,105,105,105,105,105,140,210,315,315,315,315,315,315,315,
315,315,315,315,315,315,315,315,315,315,315,315,315,315,315,315,315,315,315,
315,315,315,315,315,315,315,315,315,315,315,315,315,315,315,315,315,630,630,
630,630,630,630,630,630,630,630,630,630,630,630,630,630,1260,1260,280,560,560,
360,21,42,126,504,504,504,480,945,35,35,70,105,105,105,105,140,140,140,210,
210,210,210,210,210,210,210,210,210,420,420,420,420,420,420,420,420,420,420,
420,420,420,420,420,420,420,420,420,840,840,840,840,840,840,126,378,378,378,
378,378,378,120,120,240,360,360,105,105,105,105,105,105,105,105,210,210,210,
315,315,315,315,315,315,315,315,315,315,315,315,315,315,315,315,315,315,315,
315,315,315,315,315,315,315,315,315,630,70,140,280,280,280,21,63,63,126,126,
126,126,126,126,252,504,480,35,35,35,70,70,70,70,105,105,105,105,105,105,105,
105,105,105,105,105,105,140,210,210,210,210,210,210,210,210,210,210,420,420,
420,420,378,30,120,360,84,168,315,315,315,315,70,140,140,140,140,140,280,21,
42,63,63,63,63,63,63,126,126,126,126,126,126,126,120,35,35,35,105,105,105,105,
105,105,105,105,105,105,105,105,105,105,105,105,105,210,210,210,210,90,7,84,
84,84,168,35,70,70,70,140,21,63,63,63,63,63,63,126,126,120,120,105,105,105,
105,30,21,21,42,42,84,35,35,35,70,63,28,7,21,21,21,21,21,42,35,30,28,1,21,21,
7,3,6,4,7,1,3,3,4,3,1,1]],
[1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,5,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,7,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,9,9,9,9,9,10,10,10,10,10,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
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,
12,12,12,12,12,12,14,14,15,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,20,20,20,20,20,20,20,20,20,20,20,20,20,21,21,
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,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,27,28,28,28,30,30,30,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,40,40,40,40,40,40,40,
40,40,40,40,40,40,42,42,42,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,
48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,
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,
48,48,48,48,48,48,48,48,48,48,54,54,54,56,60,60,60,60,60,60,63,64,72,72,72,72,
72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,
72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,80,80,80,80,80,80,80,84,84,84,84,
84,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,
96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,108,108,108,108,108,120,120,120,
120,120,120,120,120,120,120,120,126,144,144,144,144,144,144,144,144,144,144,
144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,
144,144,144,144,144,144,160,168,168,168,180,180,192,192,192,192,216,216,216,
216,216,216,216,240,240,240,240,240,240,240,240,240,240,240,240,240,240,240,
252,288,288,288,288,288,288,288,288,288,288,288,288,288,288,288,288,288,288,
288,288,288,288,288,288,336,360,360,360,360,360,432,432,432,432,432,480,480,
480,480,480,480,480,480,480,504,504,576,576,576,576,672,720,720,720,720,720,
864,864,864,864,960,1080,1440,1440,1440,1440,1440,1440,1440,1728,2016,2160,
2520,2880,2880,4320,5040,5040,7560,8640,10080,10080,10080,15120,20160,30240,
60480],
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653,656,655,655,569,567,594,567,591,497,497,347,345,345,345,722,735,726,728,
691,689,655,646,644,641,645,567,584,510,540,507,444,485,329,319,225,724,740,
728,726,656,655,656,655,653,655,655,655,567,584,576,583,567,497,497,497,497,
497,497,497,497,497,497,497,497,458,345,345,345,345,344,342,345,345,345,345,
198,739,714,598,487,488,722,647,647,549,549,766,749,749,749,737,738,728,727,
726,726,728,714,712,700,661,660,659,655,655,655,655,655,655,655,641,645,641,
644,645,596,589,584,584,567,584,567,569,584,591,567,584,567,587,567,522,538,
444,444,444,485,484,444,484,484,485,485,485,388,329,329,319,319,332,650,554,
610,749,727,656,655,656,655,655,655,654,655,654,653,655,497,497,497,497,497,
497,497,497,497,497,497,497,497,497,497,497,497,497,497,497,497,497,345,345,
345,345,739,714,702,702,645,645,598,510,535,535,511,390,390,225,226,722,722,
647,647,647,647,647,647,647,549,549,544,549,724,611,496,753,729,728,728,727,
728,726,726,726,727,689,701,703,689,682,681,691,655,655,655,655,655,655,655,
654,656,655,655,655,655,655,655,655,655,655,655,655,656,655,643,644,645,641,
646,567,584,567,567,584,584,565,567,563,583,560,584,584,583,584,567,584,584,
584,567,567,567,567,576,567,584,567,584,561,537,538,542,540,463,484,485,458,
444,485,485,484,485,485,484,484,332,333,663,724,650,650,610,610,610,655,654,
656,653,497,497,497,497,497,497,497,497,497,497,497,749,749,739,739,714,714,
712,702,702,702,660,661,658,659,662,638,645,645,633,635,645,634,635,645,641,
634,644,645,645,641,596,535,538,535,390,722,647,647,647,647,647,647,647,647,
647,647,549,549,650,611,554,749,749,749,738,736,737,728,728,726,727,727,726,
728,726,728,726,710,696,655,655,655,653,655,655,654,655,654,655,655,653,654,
655,655,656,655,655,654,655,655,656,655,656,656,653,655,655,655,655,655,655,
655,655,655,656,655,655,655,655,656,655,655,563,584,563,567,584,583,576,567,
567,565,583,565,584,584,576,567,484,485,663,598,597,650,753,748,722,610,610,
610,611,497,749,749,739,728,726,726,728,714,712,714,702,702,702,702,691,702,
702,689,691,689,643,646,635,645,644,644,644,643,634,646,641,645,641,645,645,
634,645,645,635,537,538,539,540,541,542,722,647,647,647,647,647,647,724,724,
679,650,650,727,729,728,726,727,728,726,729,703,700,701,656,655,656,655,656,
656,655,656,655,655,654,653,655,654,653,653,654,656,655,654,654,655,653,655,
655,655,655,655,594,739,714,663,663,663,753,740,740,722,720,723,720,722,722,
676,610,611,749,749,749,737,738,736,739,728,726,728,726,726,728,728,727,726,
726,728,728,726,710,702,702,702,691,702,702,689,689,702,691,643,644,645,646,
647,750,724,650,735,709,653,654,655,656,739,714,712,714,714,711,663,753,748,
740,740,740,740,740,740,720,722,722,723,723,720,722,724,749,749,749,726,729,
728,729,728,726,726,727,728,728,726,728,728,727,726,726,727,700,701,702,703,
730,759,735,735,735,709,749,739,739,739,714,753,740,740,740,740,740,740,722,
723,724,725,726,727,728,729,750,753,754,747,748,735,749,749,749,739,740,751,
759,753,753,753,754,754,748,749,750,751,766,753,754,759,764,762,763,759,766,
764,764,763,764,766,766],
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8,8,1,9,7,1,1,8,8,9,10,1,1,9,1,10,11,1,2,1,1,1,1,2,1,3,1,1,1,3,2,1,1,3,1,1,2,
3,3,2,1,1,3,1,1,1,5,3,1,3,1,3,2,1,1,3,3,5,1,1,1,1,1,35,35,1,1,35,12,1,1,13,12,
13,8,16,8,8,8,1,1,1,1,13,12,1,8,1,8,8,1,8,9,7,9,1,7,13,8,8,8,1,1,1,1,1,1,8,8,
8,8,8,16,17,8,8,8,9,1,8,7,7,9,1,1,17,9,9,10,10,26,1,56,1,1,1,1,3,1,5,2,3,1,2,
1,1,5,3,3,5,3,2,1,2,2,3,3,3,3,5,1,5,2,2,2,2,3,5,2,3,3,3,3,97,98,1,97,1,98,99,
9,7,8,8,9,7,11,10,35,1,1,35,1,35,35,35,35,35,35,35,35,56,1,56,107,110,38,12,
107,1,37,1,13,114,8,111,112,110,12,13,8,8,37,37,1,1,38,38,110,16,8,1,8,1,38,8,
1,8,8,8,37,114,8,7,7,45,44,9,38,8,38,8,8,37,111,38,112,114,38,37,37,16,2,8,8,
8,2,3,8,8,38,13,3,37,8,8,37,122,152,123,10,41,45,44,5,8,44,2,3,9,9,7,45,169,
151,1,1,56,56,35,172,7,18,2,2,3,3,18,18,3,18,18,2,18,18,18,18,12,13,97,1,1,13,
12,97,97,97,13,13,13,12,12,97,8,7,97,97,98,8,97,7,9,8,16,8,98,9,13,98,17,98,
99,35,104,104,35,35,104,2,35,35,35,35,35,35,56,241,56,12,13,1,13,173,12,107,
107,110,16,12,8,8,8,8,110,173,174,5,38,37,107,41,38,110,3,13,38,41,107,13,37,
8,16,37,38,110,8,38,114,2,114,114,12,8,37,2,8,41,3,37,5,37,114,38,37,41,38,16,
37,38,112,37,112,38,37,114,110,38,38,111,114,111,37,37,110,38,45,44,97,99,98,
170,490,491,12,172,35,172,56,18,356,357,97,12,13,357,356,361,362,98,97,97,97,
97,108,97,97,110,107,109,110,107,212,216,382,114,134,118,214,119,214,38,44,45,
216,37,98,98,212,122,152,111,121,112,123,35,35,104,104,104,104,35,56,12,335,
56,56,107,110,246,251,114,38,37,107,112,411,111,60,38,268,126,114,268,126,268,
18,126,110,246,126,59,107,58,110,114,37,251,251,126,246,126,38,126,126,37,424,
12,13,334,334,97,490,490,490,228,490,491,490,107,492,491,172,241,173,12,13,
173,173,173,97,108,110,107,110,109,107,108,174,357,357,356,356,109,173,215,
214,212,356,212,215,357,357,214,356,361,382,216,362,104,648,551,170,490,491,
246,251,126,268,359,357,362,361,360,356,486,490,491,490,490,490,490,490,490,
490,492,228,491,491,490,492,335,612,357,356,502,408,501,407,246,250,357,416,
356,248,502,356,501,626,251,357,417,411,412,365,410,648,705,651,490,651,652,
173,595,595,359,596,490,602,602,602,602,490,490,492,605,551,648,502,626,501,
612,648,664,705,705,665,651,612,613,614,657,602,705,705,731,664,731,705,705,
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-1,3,-1,2,-2,3,-1]],[[1,1,2,1],[1,1,2,-1,3,3,2,1,1,1]]],[[[1,1,2,1],[2,1,1,
1],[4,1,3,-1,4,1,2,-1,1,1,2,-2,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,
1,3,-1,4,1,2,-1,4,-1]]],[[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,2,-1,3,1]],[[1,1,2,
1],[2,1,1,1],[4,1,3,-2,2,1,4,1,3,-1]]],[[[2,1,1,1],[1,1,2,2,3,-1],[3,1,4,-1,3,
1,4,-1]],[[1,1,2,1,1,1,2,1,1,1,2,2]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,1,2,1,1,1,
4,1,2,2,3,1]],[[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],[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],[2,1,1,1,3,-4,2,-1]]],[[[1,1,2,1],[1,1,2,-2,3,
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],[2,2,1,1,2,1],[5,1,3,1,4,-1,3,1,5,1,4,1]],[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,
1,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[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],[2,2,3,1,4,1,2,-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,-1,3,-1,1,1,2,1,1,1,3,1]]],[[[1,1,2,1],[1,1,
2,-2,3,1,2,1,1,1,2,-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],[4,1,3,1,2,1,3,1,4,1,3,2,2,2,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,
3,1,2,2,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,4,-1,3,1,5,2,2,-1,3,
1]]],[[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,2,-1,3,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,
1,2,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,3,-1,2,1,1,1]]],[[[1,1,2,1],[3,1,2,1,3,
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],[2,
1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,-1]],[[1,1,2,1],[3,1,2,2,3,1,2,1,3,1,2,1,1,
1]]],[[[1,1,2,1],[2,2,3,3,2,1,1,1]],[[1,1,2,1],[3,1,1,1,2,-1,1,1,2,-1,3,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,
-1,3,1,4,1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,1,4,-1,3,1]],[[1,1,2,1],[
2,3,1,1,3,-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],[
1,1,2,-1,1,1,2,-1,3,2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,3,1,2,1,4,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,2,4,-1,2,-1]],[[1,1,2,1],[1,1,2,-2,3,
1,2,1,1,1,2,-1,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,1,2,1,1,1,4,1,2,2,3,1]],[[
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,
3,1],[4,1,5,-1,3,-2,5,-1,4,-1]],[[2,1,1,1],[1,1,2,2,3,-1],[3,1,4,-1,3,1,4,
-1]]],[[[2,1,1,1],[1,1,2,2,3,-1],[3,1,4,-1,3,1,4,-1]],[[1,1,2,1],[2,2,3,3,2,1,
1,1]]],[[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,2,-1,3,1]],[[1,1,2,1],[3,1,2,1,1,1,2,
-1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,4,1,2,1,3,2]],[[2,1,1,1,2,1,1,1,
2,-1,1,1,2,-1]]],[[[2,1,1,1],[3,1,2,2,3,-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],[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],[4,1,3,1,2,1,4,1,2,1,3,2]]],[[[1,1,2,1],[3,1,2,2,1,1,2,-2,3,
-1]],[[1,1,2,-1,1,1,2,-2,1,1,2,-1]]],[[[1,1,2,1],[2,2,3,3,2,1,1,1]],[[1,1,2,
1],[1,1,2,-1,3,2,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,1,1,2,-1,4,
-2,2,-1]],[[1,1,2,1],[1,1,2,-1,3,-1,2,-2,3,2,2,2,1,1]]],[[[1,1,2,1],[2,1,1,
1],[3,2,4,1,2,1,1,1,4,1,2,2,3,1]],[[2,1,1,1],[2,1,3,1,1,1,2,1,3,-1,2,-2]],[[1,
1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,1,3,1,1,1,2,-1,4,-1,5,-1]]],[[[1,1,2,1],[3,
1,2,2,1,1,2,-2,3,-1]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]],[[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,-1,4,2,3,1,2,2]],[[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],[4,1,3,1,2,
1,4,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,1,2,2,3,1]]],[[[1,1,2,1],[
2,1,1,1],[4,1,3,1,2,1,4,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1,3,2,2,1,3,1,2,2]]],[[[
1,1,2,1],[2,2,1,1],[4,1,3,2,4,1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,2,1,3,1]]],[[[1,
1,2,1],[2,2,1,1,3,-1,1,1,2,-2,3,1]],[[1,1,2,1],[2,1,1,1,2,-1,3,1,1,1,3,
-1]]],[[[1,1,2,1],[2,2,1,1],[4,1,3,2,4,1]],[[1,1,2,1],[2,1,1,1,2,-1,3,1,1,1,3,
-1]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,3,2,2,1]],[[2,1,1,1],[2,1,3,1],[1,1,2,1,4,
-1,3,-1,4,-1]]],[[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,2,2,1]],[[1,1,2,1],[2,2,1,1,
3,-1,1,1,2,-2,3,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,1,3,1,2,1,4,2]],[[
1,1,2,1],[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],[3,1,4,2,3,1]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,2,-1,3,1]]],[[[2,1,1,1,2,
2,1,1,2,1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,
3,-1,4,1,3,1,2,1,4,2]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,3,2,1]]],[[[1,1,2,1],[1,
1,3,-1,2,1,1,1,2,-1,3,1]],[[1,1,2,1],[2,1,1,1,2,-1,3,1,1,1,3,-1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,3,2,2,1,4,-1,3,-1,2,-1,3,-1]],[[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],[3,1,4,2,2,1,3,2,4,1]],[[2,1,1,1],[2,
1,3,2,2,1,1,1,3,1,2,2]]],[[[1,1,2,1],[2,1,1,1,3,-3,2,-2]],[[1,1,2,1],[1,1,3,
-3,2,-1]]],[[[1,1,2,1],[2,1,3,2,2,1,1,1,2,-1,3,1]],[[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],[2,1,3,2],[5,1,4,1,5,1,4,1]],[[1,1,
2,1],[2,1,1,1],[3,1,2,1,3,1,2,1,4,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,
1,3,-1,4,1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,3,1,4,2]],[[1,1,2,
1],[2,2,1,1,3,-1,1,1,2,-2,3,1]]],[[[1,1,2,1],[3,2,2,2,3,1,2,1,1,1]],[[1,1,2,
1],[2,1,3,1,2,1,1,1,3,2,2,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,1,4,1,3,
-1]],[[1,1,2,1],[2,2,1,1,3,-1,1,1,2,-2,3,1]]],[[[2,1,1,1],[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],[2,1,4,1,3,-1,4,1,2,2,3,
1,4,1,2,1,1,1]],[[1,1,2,1],[2,2,1,1,3,-1,1,1,2,-2,3,1]]],[[[1,1,2,1],[2,1,1,
1],[3,2,4,1,2,1,1,1,4,1,2,2,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,3,-1,4,-1,
2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,2,-1]]],[[[1,1,2,1],[
2,1,1,1],[2,1,4,1,3,1,4,-2,3,-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],[4,1,3,-2,2,-1,3,2,2,1,4,-1]],[[1,1,2,1],[2,1,1,
1],[2,1,3,2],[5,1,4,2,5,-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,-3,2,-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,-1,3,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1,2,-1,3,-2,2,-1,3,-1]]],[[[1,1,2,1],[2,
1,3,2,2,1,1,1,2,2,3,1]],[[2,1,1,1],[1,1,2,2,3,-1],[3,1,4,-1,3,1,4,-1]]],[[[1,
1,2,1],[3,1,2,1,3,2,2,1,1,1]],[[1,1,2,1],[2,2,3,2,2,1]]],[[[1,1,2,1],[2,1,1,1,
2,-1,3,1,1,1,2,-2,3,1]],[[1,1,2,1],[2,2,1,1,3,-1,1,1,2,-2,3,1]],[[1,1,2,1],[3,
1,1,1,2,-1,1,1,2,-1,3,1]]],[[[1,1,2,1],[2,1,3,1],[3,1,4,1,2,1,1,1,4,-1]],[[1,
1,2,1],[1,1,2,-2,3,-3]]],[[[1,1,2,1],[3,1,1,1,2,-2,1,1,2,-2,3,1]],[[2,1,1,1],[
2,1,1,1,2,1,3,1,2,1,3,2]]],[[[2,1,1,1],[2,1,3,-1,1,1,2,1,3,1,2,-2]],[[2,1,1,1,
2,-1,1,1,2,-1,1,1,2,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,1,4,-1,2,
-1]],[[1,1,2,1],[2,2,1,1,3,-1,1,1,2,-2,3,1]],[[1,1,2,1],[2,1,1,1,2,-1],[4,1,3,
-1,4,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,4,-1,2,-1,1,1,2,-2,3,1,4,1]],[[1,
1,2,1],[3,1,2,1,3,3,2,2,1,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,3,-1,2,-2,4,
-1]],[[1,1,2,1],[1,1,2,-1,3,-1,2,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,
4,1,3,-1,2,-1]],[[1,1,2,1],[3,2,2,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[
5,1,4,-1,3,-2,2,-1,5,1,4,-1,2,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,4,
-2,5,1,3,1,2,1,3,1]]],[[[1,1,2,1],[2,1,3,1],[4,1,3,1,1,1,2,-1,4,-1]],[[1,1,2,
1],[3,1,1,1,2,1,1,1,2,-1,3,-1]]],[[[1,1,2,-2,1,1,2,2,1,1]],[[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,-1,4,1,2,-1,4,-1]],[[1,1,2,
1],[2,2,3,2,2,1,3,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1,2,-1,3,1,1,1,2,-2,3,1]],[[
1,1,2,1],[2,2,1,1,3,-1,1,1,2,-2,3,1]],[[1,1,2,1],[2,1,1,1,2,-1],[4,1,3,-1,4,1,
3,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,1,4,-1,2,-1]],[[1,1,2,1],[2,2,1,
1,3,-1,1,1,2,-2,3,1]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,
1],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,
1,2,2,3,1]],[[1,1,2,1],[2,2,1,1,3,-1,1,1,2,-2,3,1]]],[[[1,1,2,1],[1,1,2,-2,3,
-1,2,2,1,1,3,1]],[[2,1,1,1],[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],[2,1,3,4,2,1,1,1]]],[[[2,1,1,1],[3,1,2,-1,1,
1,3,1]]],[[[1,1,2,-2,1,1,2,-1,1,1,2,3]],[[2,-1,1,1,2,1]]],[[[1,1,2,1],[2,2,1,
1,3,-1,1,1,2,-2,3,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1]],[[1,1,2,1],[1,1,2,
-1,3,1,1,1,3,-1,2,1,1,1]]],[[[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],[2,2,1,1,3,-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],[2,1,1,1,2,-1],[3,1,4,1,3,-1,4,1]],[[1,1,2,1],[3,1,
1,1,2,-1,1,1,2,-1,3,1]],[[1,1,2,1],[1,1,2,-1,3,2,1,1,2,-1]]],[[[1,1,2,1],[2,1,
1,1,3,-2,2,2,3,1]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,-2]]],[[[1,1,2,1],[2,1,1,1,
3,1,2,1,3,3,2,1]],[[1,1,2,1],[3,1,2,1,3,3,2,2,1,1]]],[[[1,1,2,1],[2,1,1,1],[3,
1,4,2,2,1,3,2,4,1]],[[2,1,1,1],[2,1,3,1],[4,1,3,2,4,1,1,1,2,1]]],[[[1,1,2,1],[
1,1,2,-2,3,-1,2,1,1,1,3,1,2,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,2,1,1,4,
1]]],[[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,2,-1,3,1]],[[1,1,2,1],[2,1,3,1,1,1,2,
-1,1,1,2,-2,3,1]]],[[[1,1,2,1],[1,1,2,-2,3,1,2,2,1,1,3,-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],[1,1,2,-2,
3,1,2,2,1,1,3,-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],[3,2,2,2,1,1,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1,2,-1,3,-2,2,2]],[[2,1,1,
1],[3,1,2,-2,1,1,2,2,3,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,2,-1]],[[1,1,
2,1],[1,1,2,-2,3,1,2,1,1,1,2,-1,3,1]]],[[[1,1,2,1],[2,2,3,1,2,1,1,1,2,1,3,
2]]],[[[2,1,1,1],[2,2,3,-1,1,1,2,1,3,-1,2,-1]],[[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,-2,1,1,2,2,3,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,
3,1,2,1,3,1,4,-1,2,-1,3,-1,4,-1]],[[1,1,2,1],[3,1,2,1,3,3,2,2,1,1]]],[[[1,1,2,
1],[3,2,2,1,1,1,2,-1,3,-2]],[[2,1,1,1],[3,2,2,-2]]],[[[1,1,2,1],[2,1,1,1],[2,
1,4,1,3,1,4,-2,3,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,4,1,2,2,3,1]]],[[[1,1,
2,4]]],[[[1,1,2,1],[2,1,1,1,2,-1,3,2,2,2]],[[2,3,1,1]]],[[[1,1,2,1],[2,1,1,
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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],[4,1,3,
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1],[2,1,1,1],[4,1,3,-2,2,1,4,1,3,-1]],[[1,1,2,1],[2,2,1,1,3,-1,1,1,2,-2,3,
1]],[[1,1,2,1],[2,1,1,1,2,-1],[4,1,3,-1,4,1,3,1]]],[[[1,1,2,1],[2,2,1,1],[4,1,
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2,-1,1,1,2,-1,3,1]],[[2,1,1,1],[1,1,2,2,3,-1],[3,1,4,-1,3,1,4,-1]]],[[[1,1,2,
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1]],[[2,1,1,1],[1,1,2,2,3,-2]],[[1,1,2,-1,1,1,2,2,1,1,2,-1]]],[[[1,1,2,1],[2,
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1],[2,1,1,1],[3,1,1,1,4,2,2,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,4,1,2,
1,3,2]],[[2,1,1,1],[1,1,2,2,3,-1],[3,1,4,-1,3,1,4,-1]]],[[[1,1,2,1],[2,1,1,
1],[3,2,2,1,4,-3,2,-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],[4,1,2,-2,3,-1,2,1,4,1,3,1,4,-1]]],[[[1,1,2,1],[2,1,
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1],[2,1,1,1,2,-1,3,-2,2,-2]]],[[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,2,-1,3,1]],[[
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1]],[[2,3,1,1]]],[[[1,1,2,1],[2,1,3,1],[4,1,3,1,1,1,2,-1,4,-1]],[[1,1,2,1],[3,
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1],[2,3,1,1,3,-2,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1],[4,1,5,1,3,-1,4,1,3,
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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],[2,1,1,1,2,-1,3,1,2,2,3,1]],[[2,2,1,1],[3,1,2,-1,1,1,3,1]]],[[[1,1,2,1],[2,
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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],[2,2,1,1],[4,1,3,
2,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,3,-1,2,-1]],[[1,1,2,1],[1,1,2,-1,
3,1,1,1,3,-1]]],[[[1,1,2,1],[2,3,1,1,3,-2,2,-1]],[[1,1,2,-1,1,1,2,-1,1,1,2,
2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-1,3,1,4,2]],[[1,1,2,1],[2,1,1,1],[4,1,
3,1,2,1,4,1,2,1,3,2]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,2,-1,3,-1]],[[1,1,2,-2,1,
1,2,1,1,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,2,3,1,2,1,3,1]],[[
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3,-1]],[[1,1,2,-2,1,1,2,2,1,1]]],[[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,2,-1,3,
1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,1,3,-2]],[[2,1,1,1],[3,1,1,1,2,1,3,
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1,1,1],[4,1,3,1,2,1,3,1,2,1,4,1,3,1]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1]],[[1,
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1]],[[2,1,1,1],[2,1,3,1],[1,1,2,1,4,-1,3,-1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[2,
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1]],[[2,1,1,1],[2,1,3,1],[4,1,2,-1,1,1,4,1,3,1]],[[1,1,2,1],[2,2],[3,1,4,1,3,
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1,1],[2,1,4,-1],[5,1,3,-1,4,2,5,1,3,-1]],[[2,1,1,1],[1,1,2,2,3,-1],[3,1,4,-1,
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1]]],[[[1,1,2,1],[1,1,2,-2,3,-1,2,2,3,1]],[[2,1,1,1],[3,1,1,1,2,1,3,-1,2,
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2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1]],[[1,1,2,-1,1,1,2,1,1,1]],[[1,1,2,
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1,1,1,2,-1],[3,1,4,1,3,-1,4,1]],[[2,1,1,1],[1,1,2,2,3,-1],[3,1,4,-1,3,1,4,
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1]]],[[[1,1,2,1],[2,3,1,1,3,-2,2,-1]],[[1,1,2,-1,1,1,2,2,1,1,2,-1]],[[2,1,1,
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4,1],[4,1,5,1,3,2,5,-1,4,-1]],[[2,1,1,1],[1,1,2,2,3,-1],[3,1,4,-1,3,1,4,
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1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[5,1,3,-1,4,1,3,1,5,1,4,1]],[[2,1,1,1],[1,
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1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,2,-1]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,
3,2]]],[[[1,1,2,-2,1,1,2,2,1,1]],[[1,1,2,-1,1,1,2,1,1,1]],[[2,-1,1,1,2,
1]]],[[[1,1,2,1],[2,1,1,1,2,-1,3,1,1,1,3,-1]],[[1,1,2,1],[3,2,2,1,3,1]]],[[[2,
1,1,1],[3,1,1,1,2,1,3,-1,2,-1]],[[1,1,2,-2,1,1,2,2,1,1]],[[2,-1,1,1,2,1]]],[[[
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1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,3,1,2,1,4,-1]]],[[[1,1,2,1],[3,1,2,2,
1,1,2,-1,3,-2]],[[2,1,1,1],[3,2,2,-2]]],[[[1,1,2,1],[2,1,1,1],[3,2,2,1],[5,1,
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1,2,1],[3,1,4,1,3,1,4,-1]]],[[[2,1,1,1],[1,1,2,2,3,-1],[3,1,4,-1,3,1,4,-1]],[[
1,1,2,1],[1,1,2,-2,3,-3]],[[2,1,1,1],[2,2,1,1,2,1],[4,1,3,1,4,1,3,-1]]],[[[1,
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1,1,2,1,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1],[5,1,4,-2,5,-1]],[[2,1,1,1],[
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1,2,-1],[4,1,3,-1,4,1,3,1]]],[[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,2,-1,3,1]],[[1,
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-1]]],[[[1,1,2,1],[2,1,3,4,2,1]],[[1,1,2,1],[1,1,2,-1,3,2,1,1,2,-1]],[[1,1,2,
1],[3,1,1,1,2,-1,1,1,2,-1,3,1]]],[[[1,1,2,1],[2,1,1,1,2,-1,3,1,1,1,2,-2,3,
1]],[[1,1,2,1],[3,2,2,2,3,2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,3,1,2,1,4,
-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,-1,3,1,4,-1,2,-1]],[[1,1,2,1],[2,2,3,2,2,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,2,2,1,4,-1,3,-1,2,-1,3,-1]],[[2,1,1,1,2,1,1,
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1],[3,2],[4,1,1,1,2,-1,4,-1]],[[1,1,2,-2,1,1,2,2,1,1]]],[[[1,1,2,1],[2,1,1,1,
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1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,1,1,2,-2,3,1,4,1]],[[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],[1,1,2,-2,3,1,2,2,1,1,3,-1]],[[1,
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1,1],[2,1,3,2,4,-2,2,-1]],[[2,1,1,1],[1,1,2,-1,3,-2,2,-2,1,1]],[[1,1,2,1],[1,
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3,1]]],[[[1,1,2,1],[2,1,3,1],[4,1,2,1,1,1,4,1,3,1]],[[2,1,1,1],[1,1,2,2,3,
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1]]],[[[1,1,2,1],[2,1,1,1,2,-1,3,-2,2,-2]],[[1,1,2,1,1,1,2,1,1,1,2,2]]],[[[1,
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1,1,1,2,-1,3,1,1,1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[3,2],[5,1,4,2,5,-1]],[[1,1,
2,1],[2,2,1,1,3,-1,2,-1,3,-1]],[[1,1,2,-2,1,1,2,2,1,1]]],[[[1,1,2,1],[2,1,3,
1],[4,1,3,1,4,1,2,1,1,1]],[[1,1,2,1],[2,2,1,1,3,-1,2,-1,3,-1]]],[[[1,1,2,1],[
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2,1]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,
3,1,2,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,2,-1]],[[1,1,2,-1,1,1,2,
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2,1,3,2,4,1]],[[2,1,1,1],[2,1,3,1],[4,1,3,2,4,1,1,1,2,1]],[[2,1,1,1],[1,1,2,2,
3,-1],[3,1,4,-1,3,1,4,-1]]],[[[1,1,2,1],[3,2,2,1,1,1,3,-1,2,-2]],[[2,1,1,1],[
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1],[4,1,5,1,3,-1,4,1,3,1,5,1]],[[1,1,2,1],[2,1,1,1,3,2,2,1,3,1,2,2]]],[[[1,1,
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2,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1,2,-1],[3,1,4,1,3,-1,4,1]]],[[[1,1,2,1],[2,
1,1,1],[4,1,2,1,3,2,2,1,4,1,3,-1]],[[1,1,2,1],[3,1,2,3,1,1,3,2,2,1]],[[1,1,2,
1],[2,1,1,1],[2,1,4,1,3,1,2,2,3,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,
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1,4,1,3,-1]],[[1,1,2,1],[2,2,1,1],[4,1,3,2,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,
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1],[2,1,1,1,2,-1],[4,1,3,-1,4,1,3,1]],[[1,1,2,1],[2,2,3,3,2,1,1,1]]],[[[2,1,1,
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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,-2,3,1,2,1,1,1,
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-1,3,1]],[[2,1,1,1,2,1],[3,2,1,1,2,-1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,
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1,1]],[[1,1,2,1],[2,2],[3,1,4,1,3,1,4,1]]],[[[1,1,2,1],[1,1,2,-2,3,-1,2,1,3,
2]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1]]],[[[2,1,1,1],[3,1,2,-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],[1,1,2,-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,-1,3,2,1,
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1,1,1],[1,1,2,-2,4,-1,3,2,4,1]],[[1,1,2,1],[2,2,3,1,2,1,1,1,3,-2]],[[1,1,2,
1],[3,2,2,1,1,1,2,-1,3,-2]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,-2]],[[2,1,1,1],[
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1],[4,1,2,1,3,3,1,1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,4,1,2,1,3,2]],[[2,
1,1,1],[1,1,2,2,3,-1],[3,1,4,-1,3,1,4,-1]]],[[[1,1,2,1],[1,1,2,-2,3,-1,2,2,1,
1,3,1]],[[1,1,2,-1,1,1,2,1]],[[1,1,2,1],[2,2,1,1,3,-1,1,1,2,-2,3,1]]],[[[1,1,
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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,
3,1,4,2,3,2,2,1]],[[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,-1],[3,1,4,-1,3,1,4,-1]]],[[[1,1,2,1],[1,1,2,-2,3,1,2,2,1,1,3,-1]],[[1,1,2,
1],[2,2,1,1,3,-1,1,1,2,-2,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,2,3,2,2,
1]],[[2,1,1,1],[2,2,1,1,2,1],[3,1,4,2,3,-1]]],[[[2,3,1,1,2,1,1,1,2,-1]],[[1,1,
2,1],[2,-2,3,-2]]],[[[1,1,2,1,1,1,2,1,1,1,2,2]],[[1,1,2,1],[3,2,2,1,3,1]]],[[[
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1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,2,1,3,1,4,-1]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,
1,1,2,-1,4,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1]]],[[[1,1,2,1],[3,2,2,2,3,1,
2,1,1,1]],[[1,1,2,1],[3,4,2,1]]],[[[1,1,2,1],[3,1,2,1,3,1,1,1,2,-1,3,-2]],[[1,
1,2,1],[1,1,2,-1,3,2,1,1,2,-1]],[[2,1,1,1],[2,2,3,-1,1,1,2,1,3,-1,2,-1]],[[2,
1,1,1],[3,1,2,-2,1,1,2,2,3,-1]]],[[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]],[[2,-1,1,
1,2,1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,
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1],[2,2,1,1,3,-1,1,1,2,-2,3,1]]],[[[1,1,2,1],[2,1,1,1,3,2,2,1,3,1,2,2]],[[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,-1,2,-1],[3,1,4,2,3,
1]],[[2,1,1,1],[1,1,2,2,3,-1],[3,1,4,-1,3,1,4,-1]]],[[[1,1,2,1],[2,2,1,1,3,-1,
1,1,2,-2,3,1]],[[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,
1]]],[[[1,1,2,1],[1,1,2,-2,3,-1,2,2,1,1,3,1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,1,
1,2,-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,-2,3,-1,2,2,1,1,3,1]],[[2,2],[1,1,2,1,3,1,1,1,2,-1,3,-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]]],[[[2,1,1,1],[1,1,2,
2,3,-2]],[[1,1,2,1,1,1,2,1,1,1,2,-2]],[[1,1,2,-1,1,1,2,2,1,1,2,-1]]],[[[1,1,2,
-2,1,1,2,2,1,1]],[[1,1,2,-1,1,1,2,1,1,1]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,
-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,4,1,2,1,3,2]],[[1,1,2,1],[3,2,2,1,1,
1,3,-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],[4,1,3,-1,4,1,2,-1,1,1,2,-2,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,2,2,1,
4,1,3,-1,4,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,4,1,3,1,2,2]],[[1,1,2,
-1,1,1,2,1,1,1]]],[[[1,1,2,1],[1,1,2,-2,3,-1,2,2,1,1,3,1]],[[1,1,2,1],[3,2,1,
1,2,-1,1,1,2,-2,3,1]],[[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],[2,1,4,1,3,1,4,-2,3,-2]],[[1,1,2,1],[3,1,2,1,3,1,1,1,2,-1,3,
-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,4,1,2,2,3,1]]],[[[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],[3,1,1,1,4,2,3,-1,2,-1,3,
-1]],[[2,1,1,1],[1,1,2,2,3,-1],[3,1,4,-1,3,1,4,-1]]],[[[1,1,2,1],[1,1,2,-2,3,
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2,2,1,1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,2,1,3,1,4,-1]],[[2,1,1,
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1],[2,1,3,1],[4,2,3,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1]],[[1,1,2,-1,1,1,
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1],[2,3,1,1,3,-2,2,-1]],[[1,1,2,1],[2,1,1,1,2,-1,3,1,2,2,3,1]]],[[[1,1,2,1],[
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1,2,1],[2,1,1,1],[4,1,3,-2,2,1,4,-1,3,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1]],[[1,1,2,1],[2,1,3,2,1,1,2,-3]],[[1,1,2,-1,1,1,2,2,1,1,2,-1]]],[[[1,1,2,
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1],[3,1,4,-1,2,-1,3,1,2,1,4,-1]],[[1,1,2,1],[3,1,2,1,3,3,1,1,2,-1]],[[2,1,1,
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3]],[[1,1,2,1],[3,2],[2,1,1,1,4,-2]]],[[[1,1,2,1],[3,2,2,2,1,1,2,-1]],[[1,1,2,
1],[2,2,3,1,2,1,3,2]]],[[[1,1,2,1],[3,1,2,2,1,1,2,-2,3,-1]],[[2,1,1,1],[3,2,2,
-2]],[[2,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,3,1,2,1,4,-1]],[[
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2,2,3,1,4,1]],[[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],[3,2,2,1],[5,1,4,2,5,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,4,1,3,2,2,
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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,
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1,2,1,1,1,2,-1,3,1]],[[1,1]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]],[[1,1,2,-3,1,1,
2,3,1,1]]],[[[1,1,2,1],[3,2,1,1,2,-1,3,2,2,1]],[[1,1,2,1],[2,2,3,2,1,1,2,
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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],[3,2],[
5,1,4,2,5,-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,
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-1]],[[1,1,2,1],[2,1,3,1],[4,1,3,2,4,1]],[[1,1,2,1],[1,1,2,-1,1,1,2,-1,3,
2]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,-2]],[[1,1,2,-1,1,1,2,1,1,1]],[[1,1,2,
1],[2,1,1,1,2,-1],[3,1,4,1,3,-1,4,1]],[[2,1,1,1,2,-1]]],[[[1,1,2,1],[3,1,2,1,
3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,-1,3,1,2,1,1,1,2,-1]]],[[[1,1,2,1],[1,1,2,
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3,1,1,1,2,-1,3,-2]],[[2,2,1,1,2,-1,1,1,2,-2,1,1,2,1]],[[2,1,1,1],[2,2,3,-1,1,
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2,-1,3,1,1,1,3,-1]],[[1,1,2,1],[3,2,2,1,3,1]]],[[[1,1,2,1],[2,2,3,3,2,1,1,
1]],[[1,1,2,1],[2,-1,3,1,2,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,1,
4,1,3,-1]],[[1,1,2,1],[2,2,3,3,2,1,1,1]],[[1,1,2,1],[3,1,1,1,2,-1,1,1,2,-1,3,
1]]],[[[2,1,1,1],[1,1,2,-1,1,1,3,1,2,1,3,2]],[[2,1,1,1,2,1],[3,2,1,1,2,-1]],[[
1,1,2,1],[3,1,1,1,2,-1,1,1,2,-1,3,1]]],[[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,2,-1,
3,1]],[[1,1]],[[1,1,2,-3,1,1,2,3,1,1]],[[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,-2,1,1,2,2,3,-1]]],[[[1,1,2,1],[3,1,2,1,3,1,1,1,2,-1,
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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,
1,1],[4,1,3,-2,2,1,4,1,3,-1]],[[1,1,2,-2,1,1,2,2,1,1]]],[[[1,1,2,1],[3,1,2,1,
3,1,1,1,2,-1,3,-2]],[[1,1,2,-2,1,1,2,2,1,1]]],[[[1,1,2,1],[1,1,2,-2,3,2,1,1,2,
1,1,1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,1,3,1]],[[1,1,2,1],[3,2,2,1,1,1,3,-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],[2,1,1,1],[4,1,
3,-2,2,1,4,1,3,-1]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,2,-1,3,1]]],[[[1,1,2,1],[
1,1,2,-2,3,-1,2,2,1,1,3,1]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]],[[1,1,2,1],[2,1,
1,1],[2,1,4,-1,3,2,4,-1,2,-1]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,2,-1,3,
1]]],[[[1,1,2,1],[1,1,2,-2,3,-1,2,2,1,1,3,1]],[[1,1,2,-1,1,1,2,-1,1,1,2,2]],[[
2,1,1,1],[3,1,1,1,2,1,3,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,2,4,-1,3,1,4,-1,2,
-1]]],[[[1,1,2,1],[2,1,1,1],[3,2],[5,1,4,2,5,-1]],[[1,1,2,1],[2,1,1,1,3,-1,2,
-1,3,-1,2,-2]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,4,1,2,1,1,1]]],[[[1,1,2,1],[3,1,
2,1,1,1,2,-1,3,1,2,2]],[[1,1,2,1],[2,1,3,3,2,2,1,1]]],[[[1,1,2,1],[2,2,1,1],[
4,1,3,2,4,1]],[[1,1,2,1],[2,1,1,1,2,-1,3,1,1,1,3,-1]],[[1,1,2,1],[1,1,3,-1,2,
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33,47,52,54,159],[1,6,10,21,160],[1,6,11,23,161],[1,4,6,8,32,46,53,55,162],[1,
4,6,11,32,56,57,61,163],[1,5,6,10,33,58,59,60,164],[1,8,35,165],[1,9,35,166],[
1,7,36,167],[1,2,3,6,12,13,21,27,28,29,65,66,90,168],[1,2,3,6,12,14,23,27,28,
30,66,69,77,169],[1,2,3,6,13,16,19,28,29,65,85,88,170],[1,2,3,4,5,6,14,17,18,
20,24,28,30,31,33,64,69,75,89,94,171],[1,2,3,6,12,15,26,27,28,66,84,87,172],[
1,2,3,6,14,16,19,28,30,69,78,88,173],[1,2,3,4,5,6,13,17,18,20,22,28,29,31,32,
63,65,74,89,91,174],[1,3,4,5,13,14,15,20,22,24,25,62,63,64,70,71,72,73,175],[
1,2,3,6,16,23,25,27,28,30,77,85,86,176],[1,2,3,6,16,19,25,26,28,84,86,88,
177],[1,2,3,5,6,12,17,19,24,27,28,33,66,68,75,78,95,178],[1,2,3,6,15,21,23,26,
27,28,29,30,77,79,87,90,99,179],[1,2,3,4,6,18,22,23,27,28,30,32,34,74,77,80,
100,180],[1,2,3,6,13,19,28,29,34,65,78,80,181],[1,2,3,4,5,6,17,18,19,20,23,27,
28,30,31,77,78,83,89,95,182],[1,2,3,5,6,17,21,24,27,28,29,33,34,75,80,90,101,
183],[1,2,3,6,12,25,27,28,34,66,80,86,184],[1,2,3,5,6,13,17,24,25,28,29,33,65,
70,75,86,93,185],[1,2,3,6,15,16,19,26,28,34,80,87,88,186],[1,2,3,6,15,16,19,
26,28,78,85,87,187],[1,2,3,6,13,23,26,27,28,29,30,65,77,81,84,99,188],[1,2,3,
6,13,14,15,26,28,29,30,62,65,69,79,81,82,87,189],[1,2,3,5,6,16,17,24,26,28,33,
75,84,85,190],[1,2,3,6,14,16,28,30,34,69,80,85,191],[1,2,3,4,6,18,19,22,26,28,
32,74,78,84,192],[1,2,3,5,6,16,17,19,23,24,27,28,30,33,75,76,77,88,95,193],[1,
2,3,6,19,21,25,27,28,29,78,86,90,194],[1,2,3,4,5,6,15,17,18,20,25,26,28,31,72,
86,87,89,98,195],[1,2,3,4,5,6,12,16,17,18,19,20,27,28,31,66,67,68,76,83,88,89,
196],[1,2,3,4,5,6,17,18,20,26,28,31,34,80,84,89,197],[1,2,3,6,14,21,26,27,28,
29,30,69,82,84,90,99,198],[1,2,3,4,5,6,15,17,18,22,24,26,28,32,33,71,74,75,87,
97,199],[1,2,3,4,6,12,16,18,22,27,28,32,66,67,74,85,92,200],[1,2,3,4,5,6,16,
17,18,20,21,27,28,29,31,76,85,89,90,92,201],[1,2,3,4,6,16,18,19,21,22,27,28,
29,32,74,83,88,90,92,202],[1,2,3,4,6,14,18,22,25,28,30,32,69,73,74,86,96,
203],[1,3,4,5,6,13,20,22,24,25,26,30,31,33,63,70,81,94,96,97,98,204],[1,3,4,5,
6,15,20,22,24,25,29,30,31,32,33,71,72,79,91,93,94,96,205],[1,3,4,5,6,14,20,22,
24,25,26,29,31,32,64,73,82,91,93,97,98,206],[1,3,8,9,40,41,102,207],[1,2,8,9,
48,49,102,208],[1,6,8,9,54,55,102,209],[1,5,7,9,10,45,47,103,210],[1,2,7,8,11,
39,48,104,211],[1,5,7,9,10,43,47,58,103,212],[1,4,7,8,11,42,46,57,104,213],[1,
4,7,8,11,44,46,104,214],[1,5,8,9,47,52,102,215],[1,4,8,9,46,53,102,216],[1,2,
7,9,10,39,49,103,217],[1,4,8,10,11,46,56,105,218],[1,5,9,10,11,47,59,106,
219],[1,4,7,8,11,44,53,56,104,220],[1,6,7,9,10,50,54,60,103,221],[1,5,7,9,10,
45,52,59,103,222],[1,5,7,9,10,43,52,103,223],[1,3,7,9,10,40,51,103,224],[1,3,
7,8,11,41,51,104,225],[1,4,7,8,11,42,53,104,226],[1,6,7,8,11,50,55,61,104,
227],[1,6,9,10,11,54,60,61,106,228],[1,6,8,10,11,55,60,61,105,229],[1,5,9,10,
11,52,58,106,230],[1,4,8,10,11,53,57,105,231],[1,2,19,35,107,232],[1,2,16,35,
107,233],[1,3,14,35,110,234],[1,3,13,35,110,235],[1,2,12,36,112,236],[1,3,26,
35,110,237],[1,3,6,29,35,109,110,238],[1,3,15,35,110,239],[1,2,3,6,28,35,107,
109,110,240],[1,3,6,30,35,109,110,241],[1,3,25,36,108,242],[1,6,34,35,109,
243],[1,2,6,27,36,111,112,244],[1,2,3,6,28,36,108,111,112,245],[1,6,34,36,111,
246],[1,6,34,37,113,247],[1,6,34,38,114,248],[1,3,8,13,14,15,41,62,116,249],[
1,3,9,13,14,15,40,62,117,250],[1,2,5,7,12,17,19,43,68,115,251],[1,2,4,7,12,16,
18,42,67,115,252],[1,2,3,6,7,14,28,30,39,50,51,69,122,139,140,253],[1,3,4,5,7,
13,20,22,44,45,51,63,120,132,142,254],[1,3,4,5,7,13,20,22,42,43,51,63,120,136,
143,255],[1,3,4,5,8,14,20,24,53,64,116,256],[1,2,3,6,7,13,28,29,39,50,51,65,
120,133,140,257],[1,3,4,5,7,14,20,24,44,45,51,64,122,132,145,258],[1,3,4,8,14,
22,25,46,73,116,259],[1,3,4,5,7,14,20,24,42,43,51,64,122,136,144,260],[1,3,5,
9,13,24,25,47,70,117,261],[1,3,4,5,9,13,20,22,52,63,117,262],[1,2,3,6,7,12,27,
28,51,66,115,263],[1,2,3,6,8,14,28,30,48,69,116,264],[1,2,3,6,9,13,28,29,49,
65,117,265],[1,3,6,8,14,26,29,55,82,116,266],[1,3,6,9,13,26,30,54,81,117,
267],[1,3,4,5,11,14,20,24,56,64,128,268],[1,2,5,9,12,17,19,47,49,68,119,130,
131,269],[1,2,3,6,8,12,27,28,41,48,55,66,118,155,156,270],[1,2,3,6,9,12,27,28,
40,49,54,66,119,154,157,271],[1,2,4,8,12,16,18,46,48,67,118,127,129,272],[1,3,
4,5,10,13,20,22,59,63,126,273],[1,3,4,5,7,20,25,26,44,45,51,98,132,137,141,
274],[1,3,4,5,7,15,20,25,44,45,51,72,132,134,146,275],[1,3,5,6,7,24,25,29,45,
50,51,93,133,141,145,276],[1,3,7,13,14,15,51,62,120,122,146,277],[1,2,3,6,7,
15,26,28,39,50,51,87,137,140,146,278],[1,3,5,7,13,24,25,43,51,70,120,141,144,
279],[1,3,4,5,6,7,20,22,29,31,32,42,44,45,50,51,91,132,133,135,143,158,280],[
1,3,6,7,13,26,30,50,51,81,120,137,139,281],[1,3,5,6,7,24,25,29,43,50,51,93,
133,134,144,282],[1,2,3,4,6,7,18,22,28,32,39,42,44,50,51,74,123,140,142,143,
158,283],[1,2,3,6,7,25,28,39,50,51,86,134,140,141,284],[1,3,4,5,7,22,24,26,43,
44,51,97,137,142,144,285],[1,3,4,5,7,15,22,24,42,43,51,71,143,144,146,286],[1,
3,4,5,6,7,20,24,30,31,33,42,43,45,50,51,94,135,136,139,145,151,287],[1,3,4,7,
14,22,25,42,51,73,122,141,143,288],[1,3,4,5,7,15,20,25,42,43,51,72,136,141,
146,289],[1,2,3,4,5,6,7,17,18,20,28,31,39,42,43,44,45,50,51,89,121,123,132,
135,136,138,140,290],[1,3,6,7,14,26,29,50,51,82,122,133,137,291],[1,3,4,5,7,
15,22,24,44,45,51,71,142,145,146,292],[1,3,6,7,15,29,30,50,51,79,133,139,146,
293],[1,3,4,5,6,7,20,24,30,31,33,43,44,45,50,51,94,132,138,139,144,151,294],[
1,2,3,5,6,7,17,24,28,33,39,43,45,50,51,75,121,140,144,145,151,295],[1,3,4,5,7,
22,24,26,42,45,51,97,137,143,145,296],[1,3,4,6,7,22,25,30,42,50,51,96,134,139,
143,297],[1,3,5,7,13,24,25,45,51,70,120,134,145,298],[1,3,4,6,7,22,25,30,44,
50,51,96,139,141,142,299],[1,3,4,5,7,20,25,26,42,43,51,98,134,136,137,300],[1,
3,4,5,6,7,20,22,29,31,32,42,43,44,50,51,91,133,136,138,142,158,301],[1,3,4,7,
14,22,25,44,51,73,122,134,142,302],[1,2,4,11,12,16,18,57,67,124,303],[1,2,5,
10,12,17,19,58,68,125,304],[1,2,3,6,9,19,28,40,49,54,78,130,149,154,305],[1,2,
5,6,9,17,19,27,49,52,54,95,130,150,157,306],[1,3,4,11,14,22,25,57,73,128,
307],[1,2,4,6,8,16,18,27,48,53,55,92,127,153,156,308],[1,3,6,11,14,26,29,61,
82,128,309],[1,2,4,6,8,16,18,27,46,48,55,92,129,152,156,310],[1,2,3,4,6,8,18,
22,28,32,41,46,48,53,55,74,129,148,153,155,162,311],[1,2,3,5,6,9,17,24,28,33,
40,47,49,52,54,75,131,147,150,154,159,312],[1,2,4,8,12,16,18,48,53,67,118,152,
153,313],[1,3,6,10,13,26,30,60,81,126,314],[1,2,5,6,9,17,19,27,47,49,54,95,
131,149,157,315],[1,2,5,9,12,17,19,49,52,68,119,149,150,316],[1,3,5,10,13,24,
25,58,70,126,317],[1,2,3,6,8,16,28,41,48,55,85,127,152,155,318],[1,4,6,11,23,
32,34,57,100,161,319],[1,5,6,10,21,33,34,58,101,160,320],[1,35,36,37,38,321],[
1,7,8,9,10,11,102,103,104,105,106,322],[1,2,9,35,49,107,166,323],[1,2,8,35,48,
107,165,324],[1,3,8,35,41,110,165,325],[1,6,7,36,50,111,167,326],[1,6,9,35,54,
109,166,327],[1,3,9,35,40,110,166,328],[1,6,8,35,55,109,165,329],[1,3,7,36,51,
108,167,330],[1,2,7,36,39,112,167,331],[1,2,3,6,12,13,14,15,21,23,26,27,28,29,
30,62,65,66,69,77,79,81,82,84,87,90,99,168,169,172,179,188,189,198,332],[1,2,
3,4,5,6,12,13,16,17,18,19,20,21,22,27,28,29,31,32,63,65,66,67,68,74,76,83,85,
88,89,90,91,92,168,170,174,196,200,201,202,333],[1,2,3,4,5,6,12,14,16,17,18,
19,20,23,24,27,28,30,31,33,64,66,67,68,69,75,76,77,78,83,88,89,94,95,169,171,
173,178,182,193,196,334],[1,2,3,4,5,6,15,16,17,18,19,21,22,23,24,26,27,28,29,
30,32,33,34,71,74,75,76,77,79,80,83,87,88,90,92,95,97,99,100,101,179,180,183,
186,193,199,202,335],[1,2,3,4,5,6,15,16,17,18,19,20,21,23,25,26,27,28,29,30,
31,72,76,77,78,79,83,85,86,87,89,90,92,95,98,99,176,179,182,187,194,195,201,
336],[1,2,3,4,5,6,13,17,18,19,20,22,23,26,27,28,29,30,31,32,34,63,65,74,77,78,
80,81,83,84,89,91,95,99,100,174,180,181,182,188,192,197,337],[1,2,3,5,6,13,16,
17,19,23,24,25,26,27,28,29,30,33,65,70,75,76,77,81,84,85,86,88,93,95,99,170,
176,177,185,188,190,193,338],[1,2,3,4,5,6,14,16,17,18,20,21,24,26,27,28,29,30,
31,33,34,64,69,75,76,80,82,84,85,89,90,92,94,99,101,171,183,190,191,197,198,
201,339],[1,2,3,4,6,14,16,18,19,21,22,25,26,27,28,29,30,32,69,73,74,78,82,83,
84,86,88,90,92,96,99,173,177,192,194,198,202,203,340],[1,2,3,4,5,6,12,15,16,
17,18,19,22,24,26,27,28,32,33,66,67,68,71,74,75,78,84,85,87,92,95,97,172,178,
187,190,192,199,200,341],[1,2,3,4,6,12,14,16,18,22,23,25,27,28,30,32,34,66,67,
69,73,74,77,80,85,86,92,96,100,169,176,180,184,191,200,203,342],[1,2,3,6,13,
14,15,16,19,26,28,29,30,34,62,65,69,78,79,80,81,82,85,87,88,170,173,181,186,
187,189,191,343],[1,2,3,4,5,6,13,14,15,17,18,20,22,24,25,26,28,29,30,31,32,33,
62,63,64,65,69,70,71,72,73,74,75,79,81,82,86,87,89,91,93,94,96,97,98,171,174,
175,185,189,195,199,203,204,205,206,344],[1,2,3,5,6,12,13,17,19,21,24,25,27,
28,29,33,34,65,66,68,70,75,78,80,86,90,93,95,101,168,178,181,183,184,185,194,
345],[1,2,3,4,5,6,12,15,16,17,18,19,20,25,26,27,28,31,34,66,67,68,72,76,80,83,
84,86,87,88,89,98,172,177,184,186,195,196,197,346],[1,3,8,9,15,40,41,102,207,
347],[1,2,8,9,12,48,49,102,118,119,208,348],[1,2,7,8,11,12,48,104,115,118,124,
349],[1,3,4,8,9,22,40,41,46,53,102,148,207,216,350],[1,2,7,9,10,12,49,103,115,
119,125,351],[1,3,5,8,9,24,40,41,47,52,102,147,207,215,352],[1,3,8,9,26,40,41,
102,207,353],[1,3,7,8,11,14,51,104,116,122,128,354],[1,2,3,6,8,9,28,40,41,48,
49,54,55,102,154,155,207,208,209,355],[1,3,7,9,10,13,51,103,117,120,126,356],[
1,2,6,8,9,27,48,49,54,55,102,156,157,208,209,357],[1,2,5,7,9,10,17,39,43,45,
47,49,58,103,121,131,210,212,217,358],[1,2,9,10,11,12,49,106,119,124,125,
359],[1,2,8,10,11,12,48,105,118,124,125,360],[1,2,4,7,8,11,18,39,42,44,46,48,
57,104,123,129,211,213,214,361],[1,2,8,9,19,48,49,102,130,149,208,362],[1,2,4,
8,9,18,46,48,49,53,102,129,153,208,216,363],[1,5,6,8,9,33,47,52,54,55,102,159,
209,215,364],[1,2,8,9,16,48,49,102,127,152,208,365],[1,2,5,8,9,17,47,48,49,52,
102,131,150,208,215,366],[1,4,6,8,9,32,46,53,54,55,102,162,209,216,367],[1,3,
4,7,8,11,22,41,44,46,51,53,56,104,142,148,214,220,225,368],[1,2,3,6,7,9,10,28,
39,40,49,50,51,54,60,103,140,154,217,221,224,369],[1,5,6,7,9,10,33,43,45,47,
50,52,54,58,59,60,103,151,159,164,212,221,222,370],[1,4,6,7,8,11,32,42,44,46,
50,53,55,61,104,158,162,214,226,227,371],[1,3,5,7,9,10,24,40,45,47,51,52,59,
103,145,147,210,222,224,372],[1,2,5,7,9,10,17,39,43,45,49,52,59,103,121,150,
217,222,223,373],[1,3,4,7,8,11,22,41,42,46,51,53,57,104,143,148,213,225,226,
374],[1,4,6,7,8,11,32,42,44,46,50,53,55,56,57,61,104,158,162,163,213,220,227,
375],[1,2,3,6,7,8,11,28,39,41,48,50,51,55,61,104,140,155,211,225,227,376],[1,
3,5,7,9,10,24,40,43,47,51,52,58,103,144,147,212,223,224,377],[1,5,6,7,9,10,33,
43,45,47,50,52,54,60,103,151,159,210,221,223,378],[1,2,4,7,8,11,18,39,42,44,
48,53,56,104,123,153,211,220,226,379],[1,4,6,8,10,11,32,46,53,55,56,57,60,61,
105,162,163,218,229,231,380],[1,5,6,9,10,11,33,47,52,54,58,59,60,61,106,159,
164,219,228,230,381],[1,2,3,6,13,28,29,35,65,107,109,110,235,238,240,382],[1,
2,3,6,14,28,30,35,69,107,109,110,234,240,241,383],[1,2,3,6,12,27,28,36,66,108,
111,112,236,244,245,384],[1,3,6,13,26,30,35,81,109,110,235,237,241,385],[1,2,
3,6,16,28,35,85,107,109,110,233,240,386],[1,2,3,6,28,34,35,80,107,109,110,240,
243,387],[1,2,3,6,16,19,28,35,88,107,109,110,232,233,240,388],[1,3,6,14,26,29,
35,82,109,110,234,237,238,389],[1,2,3,6,19,28,35,78,107,109,110,232,240,390],[
1,3,6,15,29,30,35,79,109,110,238,239,241,391],[1,2,3,6,15,26,28,35,87,107,109,
110,237,239,240,392],[1,3,13,14,15,35,62,110,234,235,239,393],[1,2,3,6,28,34,
36,80,108,111,112,245,246,394],[1,2,3,6,25,28,36,86,108,111,112,242,245,395],[
1,8,9,35,102,165,166,396],[1,2,3,6,9,12,13,21,27,28,29,49,65,66,90,117,119,
168,265,397],[1,2,3,6,8,12,14,23,27,28,30,48,66,69,77,116,118,169,264,398],[1,
2,3,6,7,12,13,21,27,28,29,51,65,66,90,115,120,168,263,399],[1,2,3,6,7,12,14,
23,27,28,30,51,66,69,77,115,122,169,263,400],[1,2,3,6,10,12,13,21,27,28,29,65,
66,90,125,126,160,168,401],[1,3,4,5,9,13,14,15,20,22,24,25,40,47,52,62,63,64,
70,71,72,73,117,147,175,250,261,262,402],[1,2,3,4,5,6,7,13,17,18,20,22,28,29,
31,32,39,42,43,44,45,50,51,63,65,74,89,91,120,121,123,132,133,135,136,138,140,
142,143,158,174,254,255,257,280,283,290,301,403],[1,2,3,4,5,6,7,14,17,18,20,
24,28,30,31,33,39,42,43,44,45,50,51,64,69,75,89,94,121,122,123,132,135,136,
138,139,140,144,145,151,171,253,258,260,287,290,294,295,404],[1,3,4,5,8,13,14,
15,20,22,24,25,41,46,53,62,63,64,70,71,72,73,116,148,175,249,256,259,405],[1,
2,3,6,11,12,14,23,27,28,30,66,69,77,124,128,161,169,406],[1,2,3,4,5,6,7,12,16,
17,18,19,20,27,28,31,42,43,51,66,67,68,76,83,88,89,115,136,196,251,252,263,
407],[1,2,3,4,5,6,9,13,17,18,20,22,28,29,31,32,49,52,63,65,74,89,91,117,150,
174,262,265,408],[1,2,3,4,6,7,12,16,18,22,27,28,32,42,51,66,67,74,85,92,115,
143,200,252,263,409],[1,2,3,6,8,14,16,28,30,34,48,69,80,85,116,127,191,264,
410],[1,2,3,6,9,13,16,19,28,29,49,65,85,88,117,149,170,265,411],[1,2,3,6,9,13,
14,15,26,28,29,30,40,49,54,62,65,69,79,81,82,87,117,154,189,250,265,267,412],[
1,2,3,6,9,13,19,28,29,34,49,65,78,80,117,130,181,265,413],[1,2,3,4,5,6,8,14,
17,18,20,24,28,30,31,33,48,53,64,69,75,89,94,116,153,171,256,264,414],[1,2,3,
6,7,12,15,26,27,28,51,66,84,87,115,146,172,263,415],[1,2,3,5,6,7,12,17,19,24,
27,28,33,43,51,66,68,75,78,95,115,144,178,251,263,416],[1,2,3,4,6,8,14,18,22,
25,28,30,32,46,48,69,73,74,86,96,116,129,203,259,264,417],[1,2,3,6,9,13,23,26,
27,28,29,30,49,54,65,77,81,84,99,117,157,188,265,267,418],[1,2,3,6,7,12,25,27,
28,34,51,66,80,86,115,141,184,263,419],[1,2,3,6,8,14,16,19,28,30,48,69,78,88,
116,152,173,264,420],[1,2,3,6,8,13,14,15,26,28,29,30,41,48,55,62,65,69,79,81,
82,87,116,155,189,249,264,266,421],[1,2,3,6,8,14,21,26,27,28,29,30,48,55,69,
82,84,90,99,116,156,198,264,266,422],[1,2,3,5,6,9,13,17,24,25,28,29,33,47,49,
65,70,75,86,93,117,131,185,261,265,423],[1,3,4,5,6,7,15,20,22,24,25,29,30,31,
32,33,42,43,44,45,50,51,71,72,79,91,93,94,96,133,135,136,138,139,141,142,145,
146,151,158,205,276,287,289,292,293,299,301,424],[1,2,3,4,6,7,14,18,22,25,28,
30,32,39,42,44,50,51,69,73,74,86,96,122,123,134,139,140,141,142,143,158,203,
253,283,284,288,297,299,302,425],[1,3,4,5,6,9,13,20,22,24,25,26,30,31,33,47,
52,54,63,70,81,94,96,97,98,117,159,204,261,262,267,426],[1,2,3,5,6,7,13,17,24,
25,28,29,33,39,43,45,50,51,65,70,75,86,93,120,121,133,134,140,141,144,145,151,
185,257,276,279,282,284,295,298,427],[1,3,4,5,6,7,13,20,22,24,25,26,30,31,33,
43,44,45,50,51,63,70,81,94,96,97,98,120,132,137,138,139,141,142,144,151,204,
254,274,279,281,285,294,299,428],[1,3,4,5,6,7,15,20,22,24,25,29,30,31,32,33,
42,43,44,45,50,51,71,72,79,91,93,94,96,132,133,134,135,138,139,143,144,146,
151,158,205,275,280,282,286,293,294,297,429],[1,2,3,4,5,6,7,15,17,18,22,24,26,
28,32,33,39,42,43,44,45,50,51,71,74,75,87,97,121,123,137,140,142,143,144,145,
146,151,158,199,278,283,285,286,292,295,296,430],[1,3,4,5,6,7,14,20,22,24,25,
26,29,31,32,42,43,44,50,51,64,73,82,91,93,97,98,122,133,134,136,137,138,142,
144,158,206,260,282,285,291,300,301,302,431],[1,2,3,6,7,13,14,15,26,28,29,30,
39,50,51,62,65,69,79,81,82,87,120,122,133,137,139,140,146,189,253,257,277,278,
281,291,293,432],[1,3,4,5,6,7,13,20,22,24,25,26,30,31,33,42,43,45,50,51,63,70,
81,94,96,97,98,120,134,135,136,137,139,143,145,151,204,255,281,287,296,297,
298,300,433],[1,3,4,5,7,13,14,15,20,22,24,25,42,43,51,62,63,64,70,71,72,73,
120,122,136,141,143,144,146,175,255,260,277,279,286,288,289,434],[1,3,4,5,7,
13,14,15,20,22,24,25,44,45,51,62,63,64,70,71,72,73,120,122,132,134,142,145,
146,175,254,258,275,277,292,298,302,435],[1,3,4,5,6,7,14,20,22,24,25,26,29,31,
32,42,44,45,50,51,64,73,82,91,93,97,98,122,132,133,135,137,141,143,145,158,
206,258,274,276,280,288,291,296,436],[1,3,4,5,6,8,14,20,22,24,25,26,29,31,32,
46,53,55,64,73,82,91,93,97,98,116,162,206,256,259,266,437],[1,2,3,4,5,6,7,15,
17,18,20,25,26,28,31,39,42,43,44,45,50,51,72,86,87,89,98,121,123,132,134,135,
136,137,138,140,141,146,195,274,275,278,284,289,290,300,438],[1,2,3,5,6,9,12,
17,19,24,27,28,33,40,47,49,52,54,66,68,75,78,95,119,130,131,147,149,150,154,
157,159,178,269,271,305,306,312,315,316,439],[1,3,4,5,6,11,14,20,22,24,25,26,
29,31,32,56,57,61,64,73,82,91,93,97,98,128,163,206,268,307,309,440],[1,2,3,4,
6,8,12,16,18,22,27,28,32,41,46,48,53,55,66,67,74,85,92,118,127,129,148,152,
153,155,156,162,200,270,272,308,310,311,313,318,441],[1,3,4,5,6,10,13,20,22,
24,25,26,30,31,33,58,59,60,63,70,81,94,96,97,98,126,164,204,273,314,317,442],[
1,3,35,36,37,38,108,110,321,443],[1,6,35,36,37,38,109,111,113,114,321,444],[1,
2,35,36,37,38,107,112,321,445],[1,3,7,8,9,10,11,40,41,51,102,103,104,105,106,
207,224,225,322,446],[1,6,7,8,9,10,11,50,54,55,60,61,102,103,104,105,106,209,
221,227,228,229,322,447],[1,2,7,8,9,10,11,39,48,49,102,103,104,105,106,208,
211,217,322,448],[1,5,7,8,9,10,11,43,47,52,58,102,103,104,105,106,212,215,223,
230,322,449],[1,4,7,8,9,10,11,44,46,53,56,102,103,104,105,106,214,216,218,220,
322,450],[1,4,7,8,9,10,11,42,46,53,57,102,103,104,105,106,213,216,226,231,322,
451],[1,5,7,8,9,10,11,45,47,52,59,102,103,104,105,106,210,215,219,222,322,
452],[1,2,7,12,35,39,107,115,453],[1,3,8,14,36,41,108,116,454],[1,3,9,13,36,
40,108,117,455],[1,3,8,14,35,110,116,165,234,456],[1,3,9,13,35,110,117,166,
235,457],[1,2,9,19,35,49,107,130,166,232,323,458],[1,2,8,16,35,48,107,127,165,
233,324,459],[1,2,7,12,36,112,115,167,236,460],[1,3,7,25,36,51,108,134,167,
242,330,461],[1,2,9,19,35,49,107,149,166,232,323,462],[1,2,3,6,7,28,36,39,50,
51,108,111,112,140,167,245,326,330,331,463],[1,2,8,16,35,48,107,152,165,233,
324,464],[1,6,11,23,38,61,114,161,465],[1,2,3,6,9,28,35,40,49,54,107,109,110,
154,166,240,323,327,328,466],[1,3,7,25,36,51,108,141,167,242,330,467],[1,6,10,
21,37,60,113,160,468],[1,2,3,6,8,28,35,41,48,55,107,109,110,155,165,240,324,
325,329,469],[1,6,10,21,38,60,114,160,470],[1,6,11,23,37,61,113,161,471],[1,2,
3,4,5,6,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,
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,
88,89,90,91,92,93,94,95,96,97,98,99,100,101,168,169,170,171,172,173,174,175,
176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,
195,196,197,198,199,200,201,202,203,204,205,206,332,333,334,335,336,337,338,
339,340,341,342,343,344,345,346,472],[1,2,3,6,8,9,12,27,28,40,41,48,49,54,55,
66,102,118,119,154,155,156,157,207,208,209,270,271,348,355,357,473],[1,3,4,5,
8,9,15,22,24,40,41,46,47,52,53,71,102,147,148,207,215,216,347,350,352,474],[1,
2,5,7,9,10,12,17,19,43,47,49,58,68,103,115,119,125,130,131,212,251,269,304,
351,475],[1,2,4,7,8,11,12,16,18,42,46,48,57,67,104,115,118,124,127,129,213,
252,272,303,349,476],[1,3,5,7,9,10,13,24,25,45,47,51,70,103,117,120,126,134,
145,210,261,298,356,477],[1,3,5,7,9,10,13,24,25,43,47,51,58,70,103,117,120,
126,141,144,212,261,279,317,356,478],[1,3,7,8,11,13,14,15,41,51,62,104,116,
120,122,128,146,225,249,277,354,479],[1,3,4,5,7,8,11,14,20,24,42,43,51,53,64,
104,116,122,128,136,144,226,256,260,354,480],[1,3,7,9,10,13,14,15,40,51,62,
103,117,120,122,126,146,224,250,277,356,481],[1,3,4,5,7,8,11,14,20,24,44,45,
51,53,56,64,104,116,122,128,132,145,220,256,258,268,354,482],[1,2,3,6,7,8,11,
14,28,30,39,48,50,51,69,104,116,122,128,139,140,211,253,264,354,483],[1,2,3,6,
7,9,10,13,28,29,39,49,50,51,65,103,117,120,126,133,140,217,257,265,356,484],[
1,3,4,7,8,11,14,22,25,42,46,51,57,73,104,116,122,128,141,143,213,259,288,307,
354,485],[1,3,4,5,7,9,10,13,20,22,42,43,51,52,63,103,117,120,126,136,143,223,
255,262,356,486],[1,3,4,5,7,9,10,13,20,22,44,45,51,52,59,63,103,117,120,126,
132,142,222,254,262,273,356,487],[1,2,3,6,8,9,19,28,40,41,48,49,54,55,78,102,
130,149,154,155,207,208,209,305,355,362,488],[1,2,3,6,8,9,15,26,28,40,41,48,
49,54,55,87,102,154,155,207,208,209,347,353,355,489],[1,2,3,6,8,9,16,28,40,41,
48,49,54,55,85,102,127,152,154,155,207,208,209,318,355,365,490],[1,3,6,7,8,11,
14,26,29,50,51,55,61,82,104,116,122,128,133,137,227,266,291,309,354,491],[1,2,
3,4,6,8,9,18,22,28,32,40,41,46,48,49,53,54,55,74,102,129,148,153,154,155,162,
207,208,209,216,311,350,355,363,367,492],[1,3,6,7,9,10,13,26,30,50,51,54,60,
81,103,117,120,126,137,139,221,267,281,314,356,493],[1,2,3,5,6,8,9,17,24,28,
33,40,41,47,48,49,52,54,55,75,102,131,147,150,154,155,159,207,208,209,215,312,
352,355,364,366,494],[1,3,4,7,8,11,14,22,25,44,46,51,73,104,116,122,128,134,
142,214,259,302,354,495],[1,2,3,6,8,9,26,28,40,41,48,49,54,55,84,102,154,155,
207,208,209,353,355,496],[1,2,4,8,9,12,16,18,46,48,49,53,67,102,118,119,127,
129,152,153,208,216,272,313,348,363,365,497],[1,2,4,7,8,11,12,16,18,42,48,53,
67,104,115,118,124,152,153,226,252,313,349,498],[1,2,5,6,8,9,17,19,27,47,48,
49,52,54,55,95,102,130,131,149,150,156,157,208,209,215,306,315,357,362,366,
499],[1,2,3,6,7,8,11,12,27,28,41,48,51,55,66,104,115,118,124,155,156,225,263,
270,349,500],[1,2,3,6,7,9,10,12,27,28,40,49,51,54,66,103,115,119,125,154,157,
224,263,271,351,501],[1,3,4,5,8,9,22,24,26,40,41,46,47,52,53,97,102,147,148,
207,215,216,350,352,353,502],[1,2,5,7,9,10,12,17,19,43,49,52,68,103,115,119,
125,149,150,223,251,316,351,503],[1,2,5,8,9,12,17,19,47,48,49,52,68,102,118,
119,130,131,149,150,208,215,269,316,348,362,366,504],[1,2,4,6,8,9,16,18,27,46,
48,49,53,54,55,92,102,127,129,152,153,156,157,208,209,216,308,310,357,363,365,
505],[1,2,3,4,6,7,8,11,18,22,28,32,39,41,42,44,46,48,50,51,53,55,56,57,61,74,
104,123,129,140,142,143,148,153,155,158,162,163,211,213,214,220,225,226,227,
283,311,361,368,371,374,375,376,379,506],[1,2,3,5,6,7,9,10,17,24,28,33,39,40,
43,45,47,49,50,51,52,54,58,59,60,75,103,121,131,140,144,145,147,150,151,154,
159,164,210,212,217,221,222,223,224,295,312,358,369,370,372,373,377,378,507],[
1,2,5,9,10,11,12,17,19,49,52,58,68,106,119,124,125,149,150,230,304,316,359,
508],[1,2,4,8,10,11,12,16,18,48,53,57,67,105,118,124,125,152,153,231,303,313,
360,509],[1,2,3,6,14,16,19,28,30,35,69,78,88,107,109,110,173,232,233,234,240,
241,383,388,390,510],[1,2,3,6,13,16,19,28,29,35,65,85,88,107,109,110,170,232,
233,235,238,240,382,386,388,511],[1,2,3,6,15,16,19,26,28,35,78,85,87,107,109,
110,187,232,233,237,239,240,386,390,392,512],[1,2,3,6,13,19,28,29,34,35,65,78,
80,107,109,110,181,232,235,238,240,243,382,387,390,513],[1,2,3,6,13,14,15,26,
28,29,30,35,62,65,69,79,81,82,87,107,109,110,189,234,235,237,238,239,240,241,
382,383,385,389,391,392,393,514],[1,2,3,6,14,16,28,30,34,35,69,80,85,107,109,
110,191,233,234,240,241,243,383,386,387,515],[1,2,3,6,15,16,19,26,28,34,35,80,
87,88,107,109,110,186,232,233,237,239,240,243,387,388,392,516],[1,2,3,6,12,25,
27,28,34,36,66,80,86,108,111,112,184,236,242,244,245,246,384,394,395,517],[1,
2,8,9,35,48,49,102,107,165,166,208,323,324,396,518],[1,6,8,9,35,54,55,102,109,
165,166,209,327,329,396,519],[1,3,8,9,35,40,41,102,110,165,166,207,325,328,
396,520],[1,2,3,4,5,6,7,12,13,16,17,18,19,20,21,22,27,28,29,31,32,42,43,51,63,
65,66,67,68,74,76,83,85,88,89,90,91,92,115,120,136,143,168,170,174,196,200,
201,202,251,252,255,263,333,399,407,409,521],[1,2,3,6,9,12,13,14,15,21,23,26,
27,28,29,30,40,49,54,62,65,66,69,77,79,81,82,84,87,90,99,117,119,154,157,168,
169,172,179,188,189,198,250,265,267,271,332,397,412,418,522],[1,2,3,6,8,12,13,
14,15,21,23,26,27,28,29,30,41,48,55,62,65,66,69,77,79,81,82,84,87,90,99,116,
118,155,156,168,169,172,179,188,189,198,249,264,266,270,332,398,421,422,523],[
1,2,3,4,5,6,7,12,14,16,17,18,19,20,23,24,27,28,30,31,33,42,43,51,64,66,67,68,
69,75,76,77,78,83,88,89,94,95,115,122,136,144,169,171,173,178,182,193,196,251,
252,260,263,334,400,407,416,524],[1,2,3,4,5,6,9,13,14,15,17,18,20,22,24,25,26,
28,29,30,31,32,33,40,47,49,52,54,62,63,64,65,69,70,71,72,73,74,75,79,81,82,86,
87,89,91,93,94,96,97,98,117,131,147,150,154,159,171,174,175,185,189,195,199,
203,204,205,206,250,261,262,265,267,312,344,402,408,412,423,426,525],[1,2,3,6,
7,12,13,14,15,21,23,26,27,28,29,30,51,62,65,66,69,77,79,81,82,84,87,90,99,115,
120,122,146,168,169,172,179,188,189,198,263,277,332,399,400,415,526],[1,2,3,4,
5,6,7,12,15,16,17,18,19,20,25,26,27,28,31,34,42,43,51,66,67,68,72,76,80,83,84,
86,87,88,89,98,115,136,141,146,172,177,184,186,195,196,197,251,252,263,289,
346,407,415,419,527],[1,2,3,4,6,8,14,16,18,19,21,22,25,26,27,28,29,30,32,46,
48,55,69,73,74,78,82,83,84,86,88,90,92,96,99,116,129,152,156,173,177,192,194,
198,202,203,259,264,266,310,340,417,420,422,528],[1,2,3,5,6,7,12,13,17,19,21,
24,25,27,28,29,33,34,43,51,65,66,68,70,75,78,80,86,90,93,95,101,115,120,141,
144,168,178,181,183,184,185,194,251,263,279,345,399,416,419,529],[1,2,3,4,5,6,
9,12,13,16,17,18,19,20,21,22,27,28,29,31,32,49,52,63,65,66,67,68,74,76,83,85,
88,89,90,91,92,117,119,149,150,168,170,174,196,200,201,202,262,265,316,333,
397,408,411,530],[1,2,3,5,6,9,12,13,17,19,21,24,25,27,28,29,33,34,47,49,65,66,
68,70,75,78,80,86,90,93,95,101,117,119,130,131,168,178,181,183,184,185,194,
261,265,269,345,397,413,423,531],[1,2,3,6,8,13,14,15,16,19,26,28,29,30,34,41,
48,55,62,65,69,78,79,80,81,82,85,87,88,116,127,152,155,170,173,181,186,187,
189,191,249,264,266,318,343,410,420,421,532],[1,2,3,4,5,6,8,13,14,15,17,18,20,
22,24,25,26,28,29,30,31,32,33,41,46,48,53,55,62,63,64,65,69,70,71,72,73,74,75,
79,81,82,86,87,89,91,93,94,96,97,98,116,129,148,153,155,162,171,174,175,185,
189,195,199,203,204,205,206,249,256,259,264,266,311,344,405,414,417,421,437,
533],[1,2,3,4,6,7,12,14,16,18,22,23,25,27,28,30,32,34,42,51,66,67,69,73,74,77,
80,85,86,92,96,100,115,122,141,143,169,176,180,184,191,200,203,252,263,288,
342,400,409,419,534],[1,2,3,4,5,6,9,13,17,18,19,20,22,23,26,27,28,29,30,31,32,
34,49,52,54,63,65,74,77,78,80,81,83,84,89,91,95,99,100,117,130,150,157,174,
180,181,182,188,192,197,262,265,267,306,337,408,413,418,535],[1,2,3,4,5,6,7,
12,15,16,17,18,19,22,24,26,27,28,32,33,42,43,51,66,67,68,71,74,75,78,84,85,87,
92,95,97,115,143,144,146,172,178,187,190,192,199,200,251,252,263,286,341,409,
415,416,536],[1,2,3,4,6,8,12,14,16,18,22,23,25,27,28,30,32,34,46,48,66,67,69,
73,74,77,80,85,86,92,96,100,116,118,127,129,169,176,180,184,191,200,203,259,
264,272,342,398,410,417,537],[1,2,3,4,5,6,8,12,14,16,17,18,19,20,23,24,27,28,
30,31,33,48,53,64,66,67,68,69,75,76,77,78,83,88,89,94,95,116,118,152,153,169,
171,173,178,182,193,196,256,264,313,334,398,414,420,538],[1,2,3,4,5,6,8,14,16,
17,18,20,21,24,26,27,28,29,30,31,33,34,48,53,55,64,69,75,76,80,82,84,85,89,90,
92,94,99,101,116,127,153,156,171,183,190,191,197,198,201,256,264,266,308,339,
410,414,422,539],[1,2,3,5,6,9,13,16,17,19,23,24,25,26,27,28,29,30,33,47,49,54,
65,70,75,76,77,81,84,85,86,88,93,95,99,117,131,149,157,170,176,177,185,188,
190,193,261,265,267,315,338,411,418,423,540],[1,2,3,6,9,13,14,15,16,19,26,28,
29,30,34,40,49,54,62,65,69,78,79,80,81,82,85,87,88,117,130,149,154,170,173,
181,186,187,189,191,250,265,267,305,343,411,412,413,541],[1,2,3,4,6,11,12,14,
16,18,22,23,25,27,28,30,32,34,57,66,67,69,73,74,77,80,85,86,92,96,100,124,128,
161,169,176,180,184,191,200,203,303,307,319,342,406,542],[1,2,3,4,5,6,7,13,14,
15,17,18,20,22,24,25,26,28,29,30,31,32,33,39,42,43,44,45,50,51,62,63,64,65,69,
70,71,72,73,74,75,79,81,82,86,87,89,91,93,94,96,97,98,120,121,122,123,132,133,
134,135,136,137,138,139,140,141,142,143,144,145,146,151,158,171,174,175,185,
189,195,199,203,204,205,206,253,254,255,257,258,260,274,275,276,277,278,279,
280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,
299,300,301,302,344,403,404,424,425,427,428,429,430,431,432,433,434,435,436,
438,543],[1,2,3,5,6,10,12,13,17,19,21,24,25,27,28,29,33,34,58,65,66,68,70,75,
78,80,86,90,93,95,101,125,126,160,168,178,181,183,184,185,194,304,317,320,345,
401,544],[1,6,34,35,36,37,38,109,111,113,114,243,246,247,248,321,444,545],[1,
6,34,35,36,37,38,109,111,113,114,243,246,321,444,546],[1,2,3,6,28,35,36,37,38,
107,108,109,110,111,112,113,114,240,245,321,443,444,445,547],[1,2,7,8,9,10,11,
12,48,49,102,103,104,105,106,115,118,119,124,125,208,322,348,349,351,359,360,
548],[1,3,7,8,9,10,11,15,40,41,51,102,103,104,105,106,146,207,224,225,322,347,
446,549],[1,3,5,7,8,9,10,11,24,40,41,45,47,51,52,59,102,103,104,105,106,145,
147,207,210,215,219,222,224,225,322,352,372,446,452,550],[1,3,5,7,8,9,10,11,
24,40,41,43,47,51,52,58,102,103,104,105,106,144,147,207,212,215,223,224,225,
230,322,352,377,446,449,551],[1,2,3,6,7,8,9,10,11,28,39,40,41,48,49,50,51,54,
55,60,61,102,103,104,105,106,140,154,155,207,208,209,211,217,221,224,225,227,
228,229,322,355,369,376,446,447,448,552],[1,3,7,8,9,10,11,26,40,41,51,102,103,
104,105,106,137,207,224,225,322,353,446,553],[1,3,4,7,8,9,10,11,22,40,41,44,
46,51,53,56,102,103,104,105,106,142,148,207,214,216,218,220,224,225,322,350,
368,446,450,554],[1,3,4,7,8,9,10,11,22,40,41,42,46,51,53,57,102,103,104,105,
106,143,148,207,213,216,224,225,226,231,322,350,374,446,451,555],[1,2,5,7,8,9,
10,11,17,39,43,45,47,48,49,52,58,59,102,103,104,105,106,121,131,150,208,210,
211,212,215,217,219,222,223,230,322,358,366,373,448,449,452,556],[1,2,4,7,8,9,
10,11,18,39,42,44,46,48,49,53,56,57,102,103,104,105,106,123,129,153,208,211,
213,214,216,217,218,220,226,231,322,361,363,379,448,450,451,557],[1,5,6,7,8,9,
10,11,33,43,45,47,50,52,54,55,58,59,60,61,102,103,104,105,106,151,159,164,209,
210,212,215,219,221,222,223,227,228,229,230,322,364,370,378,381,447,449,452,
558],[1,4,6,7,8,9,10,11,32,42,44,46,50,53,54,55,56,57,60,61,102,103,104,105,
106,158,162,163,209,213,214,216,218,220,221,226,227,228,229,231,322,367,371,
375,380,447,450,451,559],[1,2,4,7,12,16,18,35,39,42,44,67,107,115,123,233,252,
453,560],[1,2,5,7,12,17,19,35,39,43,45,68,107,115,121,232,251,453,561],[1,2,3,
6,7,12,27,28,35,39,50,51,66,107,109,110,115,140,240,263,453,562],[1,3,4,8,14,
22,25,36,41,46,53,73,108,116,148,242,259,454,563],[1,3,5,9,13,24,25,36,40,47,
52,70,108,117,147,242,261,455,564],[1,3,6,8,14,26,29,35,55,82,109,110,116,165,
234,237,238,266,329,389,456,565],[1,2,3,6,8,14,28,30,35,48,69,107,109,110,116,
165,234,240,241,264,324,383,456,566],[1,3,8,13,14,15,35,41,62,110,116,165,234,
235,239,249,325,393,456,567],[1,2,3,6,9,13,28,29,36,40,49,54,65,108,111,112,
117,154,245,265,455,568],[1,3,6,9,13,26,30,35,54,81,109,110,117,166,235,237,
241,267,327,385,457,569],[1,3,9,13,14,15,35,40,62,110,117,166,234,235,239,250,
328,393,457,570],[1,2,3,6,9,13,28,29,35,49,65,107,109,110,117,166,235,238,240,
265,323,382,457,571],[1,2,3,6,8,14,28,30,36,41,48,55,69,108,111,112,116,155,
245,264,454,572],[1,2,3,6,7,12,27,28,36,51,66,108,111,112,115,167,236,244,245,
263,330,384,460,573],[1,5,6,10,21,33,34,37,58,59,60,101,113,160,164,247,320,
468,574],[1,4,6,11,23,32,34,38,56,57,61,100,114,161,163,248,319,465,575],[1,2,
3,6,7,25,28,36,39,50,51,86,108,111,112,134,140,141,167,242,245,284,326,330,
331,395,461,463,467,576],[1,2,3,6,8,16,28,35,41,48,55,85,107,109,110,127,152,
155,165,233,240,318,324,325,329,386,459,464,469,577],[1,5,6,10,21,33,34,38,58,
59,60,101,114,160,164,248,320,470,578],[1,4,6,11,23,32,34,37,56,57,61,100,113,
161,163,247,319,471,579],[1,2,3,6,9,19,28,35,40,49,54,78,107,109,110,130,149,
154,166,232,240,305,323,327,328,390,458,462,466,580],[1,2,3,6,8,9,12,15,26,27,
28,40,41,48,49,54,55,66,84,87,102,118,119,154,155,156,157,172,207,208,209,270,
271,347,348,353,355,357,473,489,496,581],[1,2,3,6,7,8,11,12,14,23,27,28,30,48,
51,66,69,77,104,115,116,118,122,124,128,161,169,263,264,349,354,398,400,406,
582],[1,2,3,6,7,9,10,12,13,21,27,28,29,49,51,65,66,90,103,115,117,119,120,125,
126,160,168,263,265,351,356,397,399,401,583],[1,3,4,5,6,7,9,10,13,20,22,24,25,
26,30,31,33,43,44,45,47,50,51,52,54,58,59,60,63,70,81,94,96,97,98,103,117,120,
126,132,137,138,139,141,142,144,151,159,164,204,212,221,222,254,261,262,267,
273,274,279,281,285,294,299,314,317,356,370,426,428,442,478,487,493,584],[1,2,
3,6,7,9,10,13,14,15,26,28,29,30,39,40,49,50,51,54,60,62,65,69,79,81,82,87,103,
117,120,122,126,133,137,139,140,146,154,189,217,221,224,250,253,257,265,267,
277,278,281,291,293,314,356,369,412,432,481,484,493,585],[1,2,3,4,6,8,9,18,19,
22,26,28,32,40,41,46,48,49,53,54,55,74,78,84,102,129,130,148,149,153,154,155,
162,192,207,208,209,216,305,311,350,353,355,362,363,367,488,492,496,586],[1,2,
3,6,8,9,15,16,19,26,28,40,41,48,49,54,55,78,85,87,102,127,130,149,152,154,155,
187,207,208,209,305,318,347,353,355,362,365,488,489,490,587],[1,2,3,4,5,6,8,9,
15,17,18,22,24,26,28,32,33,40,41,46,47,48,49,52,53,54,55,71,74,75,87,97,102,
129,131,147,148,150,153,154,155,159,162,199,207,208,209,215,216,311,312,347,
350,352,353,355,363,364,366,367,474,489,492,494,502,588],[1,2,3,4,5,6,7,9,10,
13,17,18,20,22,28,29,31,32,39,42,43,44,45,49,50,51,52,59,63,65,74,89,91,103,
117,120,121,123,126,132,133,135,136,138,140,142,143,150,158,174,217,222,223,
254,255,257,262,265,273,280,283,290,301,356,373,403,408,484,486,487,589],[1,3,
4,5,7,9,10,13,14,15,20,22,24,25,40,42,43,47,51,52,58,62,63,64,70,71,72,73,103,
117,120,122,126,136,141,143,144,146,147,175,212,223,224,250,255,260,261,262,
277,279,286,288,289,317,356,377,402,434,478,481,486,590],[1,2,3,5,6,7,9,10,13,
17,24,25,28,29,33,39,43,45,47,49,50,51,58,65,70,75,86,93,103,117,120,121,126,
131,133,134,140,141,144,145,151,185,210,212,217,257,261,265,276,279,282,284,
295,298,317,356,358,423,427,477,478,484,591],[1,3,4,5,7,8,11,13,14,15,20,22,
24,25,41,44,45,46,51,53,56,62,63,64,70,71,72,73,104,116,120,122,128,132,134,
142,145,146,148,175,214,220,225,249,254,256,258,259,268,275,277,292,298,302,
354,368,405,435,479,482,495,592],[1,3,4,5,7,8,11,13,14,15,20,22,24,25,41,42,
43,46,51,53,57,62,63,64,70,71,72,73,104,116,120,122,128,136,141,143,144,146,
148,175,213,225,226,249,255,256,259,260,277,279,286,288,289,307,354,374,405,
434,479,480,485,593],[1,2,3,4,6,8,9,12,16,18,22,27,28,32,40,41,46,48,49,53,54,
55,66,67,74,85,92,102,118,119,127,129,148,152,153,154,155,156,157,162,200,207,
208,209,216,270,271,272,308,310,311,313,318,348,350,355,357,363,365,367,441,
473,490,492,497,505,594],[1,2,3,6,7,8,11,13,14,15,26,28,29,30,39,41,48,50,51,
55,61,62,65,69,79,81,82,87,104,116,120,122,128,133,137,139,140,146,155,189,
211,225,227,249,253,257,264,266,277,278,281,291,293,309,354,376,421,432,479,
483,491,595],[1,3,4,5,7,9,10,13,14,15,20,22,24,25,40,44,45,47,51,52,59,62,63,
64,70,71,72,73,103,117,120,122,126,132,134,142,145,146,147,175,210,222,224,
250,254,258,261,262,273,275,277,292,298,302,356,372,402,435,477,481,487,596],[
1,2,3,4,5,6,7,8,11,14,17,18,20,24,28,30,31,33,39,42,43,44,45,48,50,51,53,56,
64,69,75,89,94,104,116,121,122,123,128,132,135,136,138,139,140,144,145,151,
153,171,211,220,226,253,256,258,260,264,268,287,290,294,295,354,379,404,414,
480,482,483,597],[1,3,4,5,6,7,8,11,14,20,22,24,25,26,29,31,32,42,44,45,46,50,
51,53,55,56,57,61,64,73,82,91,93,97,98,104,116,122,128,132,133,135,137,141,
143,145,158,162,163,206,213,220,227,256,258,259,266,268,274,276,280,288,291,
296,307,309,354,375,436,437,440,482,485,491,598],[1,2,3,4,6,7,8,11,14,18,22,
25,28,30,32,39,42,44,46,48,50,51,57,69,73,74,86,96,104,116,122,123,128,129,
134,139,140,141,142,143,158,203,211,213,214,253,259,264,283,284,288,297,299,
302,307,354,361,417,425,483,485,495,599],[1,3,4,5,6,7,9,10,13,20,22,24,25,26,
30,31,33,42,43,45,47,50,51,52,54,60,63,70,81,94,96,97,98,103,117,120,126,134,
135,136,137,139,143,145,151,159,204,210,221,223,255,261,262,267,281,287,296,
297,298,300,314,356,378,426,433,477,486,493,600],[1,3,4,5,6,7,8,11,14,20,22,
24,25,26,29,31,32,42,43,44,46,50,51,53,55,61,64,73,82,91,93,97,98,104,116,122,
128,133,134,136,137,138,142,144,158,162,206,214,226,227,256,259,260,266,282,
285,291,300,301,302,309,354,371,431,437,480,491,495,601],[1,2,3,5,6,8,9,12,17,
19,24,27,28,33,40,41,47,48,49,52,54,55,66,68,75,78,95,102,118,119,130,131,147,
149,150,154,155,156,157,159,178,207,208,209,215,269,270,271,305,306,312,315,
316,348,352,355,357,362,364,366,439,473,488,494,499,504,602],[1,2,3,5,6,8,9,
16,17,24,26,28,33,40,41,47,48,49,52,54,55,75,84,85,102,127,131,147,150,152,
154,155,159,190,207,208,209,215,312,318,352,353,355,364,365,366,490,494,496,
603],[1,2,3,5,6,7,9,10,12,17,19,24,27,28,33,40,43,47,49,51,52,54,58,66,68,75,
78,95,103,115,119,125,130,131,144,147,149,150,154,157,159,178,212,223,224,251,
263,269,271,304,305,306,312,315,316,351,377,416,439,475,501,503,604],[1,2,3,4,
6,7,8,11,12,16,18,22,27,28,32,41,42,46,48,51,53,55,57,66,67,74,85,92,104,115,
118,124,127,129,143,148,152,153,155,156,162,200,213,225,226,252,263,270,272,
303,308,310,311,313,318,349,374,409,441,476,498,500,605],[1,2,3,6,13,14,15,16,
19,26,28,29,30,34,35,62,65,69,78,79,80,81,82,85,87,88,107,109,110,170,173,181,
186,187,189,191,232,233,234,235,237,238,239,240,241,243,343,382,383,385,386,
387,388,389,390,391,392,393,510,511,512,513,514,515,516,606],[1,2,7,8,11,12,
35,39,48,104,107,115,118,124,165,211,324,349,453,607],[1,2,7,9,10,12,35,39,49,
103,107,115,119,125,166,217,323,351,453,608],[1,2,3,6,8,9,28,35,40,41,48,49,
54,55,102,107,109,110,154,155,165,166,207,208,209,240,323,324,325,327,328,329,
355,396,466,469,518,519,520,609],[1,3,7,9,10,13,36,40,51,103,108,117,120,126,
167,224,330,356,455,610],[1,3,8,9,26,35,40,41,102,110,165,166,207,237,325,328,
353,396,520,611],[1,3,8,9,15,35,40,41,102,110,165,166,207,239,325,328,347,396,
520,612],[1,3,7,8,11,14,36,41,51,104,108,116,122,128,167,225,330,354,454,
613],[1,2,8,9,19,35,48,49,102,107,130,149,165,166,208,232,323,324,362,396,458,
462,518,614],[1,2,8,9,16,35,48,49,102,107,127,152,165,166,208,233,323,324,365,
396,459,464,518,615],[1,2,3,4,5,6,7,12,13,14,15,16,17,18,19,20,21,22,23,24,25,
26,27,28,29,30,31,32,33,34,42,43,51,62,63,64,65,66,67,68,69,70,71,72,73,74,75,
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,
101,115,120,122,136,141,143,144,146,168,169,170,171,172,173,174,175,176,177,
178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,
197,198,199,200,201,202,203,204,205,206,251,252,255,260,263,277,279,286,288,
289,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,399,400,407,
409,415,416,419,434,472,521,524,526,527,529,534,536,616],[1,2,3,4,5,6,9,12,13,
14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,40,47,49,52,54,
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,
88,89,90,91,92,93,94,95,96,97,98,99,100,101,117,119,130,131,147,149,150,154,
157,159,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,
185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,
204,205,206,250,261,262,265,267,269,271,305,306,312,315,316,332,333,334,335,
336,337,338,339,340,341,342,343,344,345,346,397,402,408,411,412,413,418,423,
426,439,472,522,525,530,531,535,540,541,617],[1,2,3,4,5,6,8,12,13,14,15,16,17,
18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,41,46,48,53,55,62,63,64,65,
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,
92,93,94,95,96,97,98,99,100,101,116,118,127,129,148,152,153,155,156,162,168,
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,
249,256,259,264,266,270,272,308,310,311,313,318,332,333,334,335,336,337,338,
339,340,341,342,343,344,345,346,398,405,410,414,417,420,421,422,437,441,472,
523,528,532,533,537,538,539,618],[1,2,3,6,28,34,35,36,37,38,80,107,108,109,
110,111,112,113,114,240,243,245,246,247,248,321,387,394,443,444,445,545,546,
547,619],[1,2,3,6,7,8,9,10,11,12,27,28,40,41,48,49,51,54,55,66,102,103,104,
105,106,115,118,119,124,125,154,155,156,157,207,208,209,224,225,263,270,271,
322,348,349,351,355,357,359,360,446,473,500,501,548,620],[1,3,4,5,7,8,9,10,11,
15,22,24,40,41,42,43,46,47,51,52,53,57,58,71,102,103,104,105,106,143,144,146,
147,148,207,212,213,215,216,223,224,225,226,230,231,286,322,347,350,352,374,
377,446,449,451,474,549,551,555,621],[1,2,3,4,6,7,8,9,10,11,18,22,28,32,39,40,
41,42,44,46,48,49,50,51,53,54,55,56,57,60,61,74,102,103,104,105,106,123,129,
140,142,143,148,153,154,155,158,162,163,207,208,209,211,213,214,216,217,218,
220,221,224,225,226,227,228,229,231,283,311,322,350,355,361,363,367,368,369,
371,374,375,376,379,380,446,447,448,450,451,492,506,552,554,555,557,559,622],[
1,3,4,5,7,8,9,10,11,15,22,24,40,41,44,45,46,47,51,52,53,56,59,71,102,103,104,
105,106,142,145,146,147,148,207,210,214,215,216,218,219,220,222,224,225,292,
322,347,350,352,368,372,446,450,452,474,549,550,554,623],[1,3,4,5,7,8,9,10,11,
22,24,26,40,41,42,45,46,47,51,52,53,57,59,97,102,103,104,105,106,137,143,145,
147,148,207,210,213,215,216,219,222,224,225,226,231,296,322,350,352,353,372,
374,446,451,452,502,550,553,555,624],[1,2,5,7,8,9,10,11,12,17,19,43,47,48,49,
52,58,68,102,103,104,105,106,115,118,119,124,125,130,131,149,150,208,212,215,
223,230,251,269,304,316,322,348,349,351,359,360,362,366,449,475,503,504,508,
548,625],[1,3,4,5,7,8,9,10,11,22,24,26,40,41,43,44,46,47,51,52,53,56,58,97,
102,103,104,105,106,137,142,144,147,148,207,212,214,215,216,218,220,223,224,
225,230,285,322,350,352,353,368,377,446,449,450,502,551,553,554,626],[1,2,4,7,
8,9,10,11,12,16,18,42,46,48,49,53,57,67,102,103,104,105,106,115,118,119,124,
125,127,129,152,153,208,213,216,226,231,252,272,303,313,322,348,349,351,359,
360,363,365,451,476,497,498,509,548,627],[1,2,3,6,7,8,9,10,11,15,26,28,39,40,
41,48,49,50,51,54,55,60,61,87,102,103,104,105,106,137,140,146,154,155,207,208,
209,211,217,221,224,225,227,228,229,278,322,347,353,355,369,376,446,447,448,
489,549,552,553,628],[1,2,3,5,6,7,8,9,10,11,17,24,28,33,39,40,41,43,45,47,48,
49,50,51,52,54,55,58,59,60,61,75,102,103,104,105,106,121,131,140,144,145,147,
150,151,154,155,159,164,207,208,209,210,211,212,215,217,219,221,222,223,224,
225,227,228,229,230,295,312,322,352,355,358,364,366,369,370,372,373,376,377,
378,381,446,447,448,449,452,494,507,550,551,552,556,558,629],[1,2,3,6,7,12,14,
23,27,28,30,35,39,50,51,66,69,77,107,109,110,115,122,139,140,169,234,240,241,
253,263,383,400,453,562,630],[1,2,3,6,7,12,13,21,27,28,29,35,39,50,51,65,66,
90,107,109,110,115,120,133,140,168,235,238,240,257,263,382,399,453,562,631],[
1,2,3,6,8,12,14,23,27,28,30,36,41,48,55,66,69,77,108,111,112,116,118,155,156,
169,236,244,245,264,270,384,398,454,572,632],[1,2,3,6,9,12,13,21,27,28,29,36,
40,49,54,65,66,90,108,111,112,117,119,154,157,168,236,244,245,265,271,384,397,
455,568,633],[1,2,3,4,5,6,7,12,16,17,18,19,20,27,28,31,35,39,42,43,44,45,50,
51,66,67,68,76,83,88,89,107,109,110,115,121,123,132,135,136,138,140,196,232,
233,240,251,252,263,290,388,407,453,560,561,562,634],[1,2,3,4,6,7,12,16,18,22,
27,28,32,35,39,42,44,50,51,66,67,74,85,92,107,109,110,115,123,140,142,143,158,
200,233,240,252,263,283,386,409,453,560,562,635],[1,2,3,6,7,12,15,26,27,28,35,
39,50,51,66,84,87,107,109,110,115,137,140,146,172,237,239,240,263,278,392,415,
453,562,636],[1,2,3,6,7,12,25,27,28,34,35,39,50,51,66,80,86,107,109,110,115,
134,140,141,184,240,243,263,284,387,419,453,562,637],[1,2,3,5,6,7,12,17,19,24,
27,28,33,35,39,43,45,50,51,66,68,75,78,95,107,109,110,115,121,140,144,145,151,
178,232,240,251,263,295,390,416,453,561,562,638],[1,2,3,6,8,14,16,19,28,30,35,
48,69,78,88,107,109,110,116,152,165,173,232,233,234,240,241,264,324,383,388,
390,420,456,464,510,566,639],[1,2,3,6,8,13,14,15,26,28,29,30,35,41,48,55,62,
65,69,79,81,82,87,107,109,110,116,155,165,189,234,235,237,238,239,240,241,249,
264,266,324,325,329,382,383,385,389,391,392,393,421,456,469,514,565,566,567,
640],[1,2,3,6,9,13,14,15,26,28,29,30,35,40,49,54,62,65,69,79,81,82,87,107,109,
110,117,154,166,189,234,235,237,238,239,240,241,250,265,267,323,327,328,382,
383,385,389,391,392,393,412,457,466,514,569,570,571,641],[1,2,3,6,8,14,16,28,
30,34,35,48,69,80,85,107,109,110,116,127,165,191,233,234,240,241,243,264,324,
383,386,387,410,456,459,515,566,642],[1,2,3,6,9,13,19,28,29,34,35,49,65,78,80,
107,109,110,117,130,166,181,232,235,238,240,243,265,323,382,387,390,413,457,
458,513,571,643],[1,2,3,6,9,13,19,28,29,34,36,40,49,54,65,78,80,108,111,112,
117,130,149,154,181,245,246,265,305,394,413,455,568,644],[1,2,3,6,8,14,16,28,
30,34,36,41,48,55,69,80,85,108,111,112,116,127,152,155,191,245,246,264,318,
394,410,454,572,645],[1,2,3,4,6,8,14,18,22,25,28,30,32,36,41,46,48,53,55,69,
73,74,86,96,108,111,112,116,129,148,153,155,162,203,242,245,259,264,311,395,
417,454,563,572,646],[1,2,3,6,9,13,16,19,28,29,35,49,65,85,88,107,109,110,117,
149,166,170,232,233,235,238,240,265,323,382,386,388,411,457,462,511,571,647],[
1,2,3,5,6,9,13,17,24,25,28,29,33,36,40,47,49,52,54,65,70,75,86,93,108,111,112,
117,131,147,150,154,159,185,242,245,261,265,312,395,423,455,564,568,648],[1,2,
3,6,7,12,25,27,28,34,36,51,66,80,86,108,111,112,115,141,167,184,236,242,244,
245,246,263,330,384,394,395,419,460,467,517,573,649],[1,2,3,4,5,6,7,8,11,12,
14,16,17,18,19,20,23,24,27,28,30,31,33,42,43,48,51,53,64,66,67,68,69,75,76,77,
78,83,88,89,94,95,104,115,116,118,122,124,128,136,144,152,153,161,169,171,173,
178,182,193,196,226,251,252,256,260,263,264,313,334,349,354,398,400,406,407,
414,416,420,480,498,524,538,582,650],[1,2,3,6,7,9,10,12,13,14,15,21,23,26,27,
28,29,30,40,49,51,54,62,65,66,69,77,79,81,82,84,87,90,99,103,115,117,119,120,
122,125,126,146,154,157,160,168,169,172,179,188,189,198,224,250,263,265,267,
271,277,332,351,356,397,399,400,401,412,415,418,481,501,522,526,583,651],[1,2,
3,6,7,8,11,12,13,14,15,21,23,26,27,28,29,30,41,48,51,55,62,65,66,69,77,79,81,
82,84,87,90,99,104,115,116,118,120,122,124,128,146,155,156,161,168,169,172,
179,188,189,198,225,249,263,264,266,270,277,332,349,354,398,399,400,406,415,
421,422,479,500,523,526,582,652],[1,2,3,4,6,7,8,11,12,14,16,18,22,23,25,27,28,
30,32,34,42,46,48,51,57,66,67,69,73,74,77,80,85,86,92,96,100,104,115,116,118,
122,124,127,128,129,141,143,161,169,176,180,184,191,200,203,213,252,259,263,
264,272,288,303,307,319,342,349,354,398,400,406,409,410,417,419,476,485,534,
537,542,582,653],[1,2,3,5,6,7,9,10,12,13,17,19,21,24,25,27,28,29,33,34,43,47,
49,51,58,65,66,68,70,75,78,80,86,90,93,95,101,103,115,117,119,120,125,126,130,
131,141,144,160,168,178,181,183,184,185,194,212,251,261,263,265,269,279,304,
317,320,345,351,356,397,399,401,413,416,419,423,475,478,529,531,544,583,654],[
1,2,3,4,5,6,7,9,10,12,13,16,17,18,19,20,21,22,27,28,29,31,32,42,43,49,51,52,
63,65,66,67,68,74,76,83,85,88,89,90,91,92,103,115,117,119,120,125,126,136,143,
149,150,160,168,170,174,196,200,201,202,223,251,252,255,262,263,265,316,333,
351,356,397,399,401,407,408,409,411,486,503,521,530,583,655],[1,2,3,4,5,6,8,9,
12,15,16,17,18,19,22,24,26,27,28,32,33,40,41,46,47,48,49,52,53,54,55,66,67,68,
71,74,75,78,84,85,87,92,95,97,102,118,119,127,129,130,131,147,148,149,150,152,
153,154,155,156,157,159,162,172,178,187,190,192,199,200,207,208,209,215,216,
269,270,271,272,305,306,308,310,311,312,313,315,316,318,341,347,348,350,352,
353,355,357,362,363,364,365,366,367,439,441,473,474,488,489,490,492,494,496,
497,499,502,504,505,581,586,587,588,594,602,603,656],[1,2,3,4,5,6,7,9,10,13,
14,15,17,18,20,22,24,25,26,28,29,30,31,32,33,39,40,42,43,44,45,47,49,50,51,52,
54,58,59,60,62,63,64,65,69,70,71,72,73,74,75,79,81,82,86,87,89,91,93,94,96,97,
98,103,117,120,121,122,123,126,131,132,133,134,135,136,137,138,139,140,141,
142,143,144,145,146,147,150,151,154,158,159,164,171,174,175,185,189,195,199,
203,204,205,206,210,212,217,221,222,223,224,250,253,254,255,257,258,260,261,
262,265,267,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,
289,290,291,292,293,294,295,296,297,298,299,300,301,302,312,314,317,344,356,
358,369,370,372,373,377,378,402,403,404,408,412,423,424,425,426,427,428,429,
430,431,432,433,434,435,436,438,442,477,478,481,484,486,487,493,507,525,543,
584,585,589,590,591,596,600,657],[1,2,3,4,5,6,7,8,11,13,14,15,17,18,20,22,24,
25,26,28,29,30,31,32,33,39,41,42,43,44,45,46,48,50,51,53,55,56,57,61,62,63,64,
65,69,70,71,72,73,74,75,79,81,82,86,87,89,91,93,94,96,97,98,104,116,120,121,
122,123,128,129,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,
148,151,153,155,158,162,163,171,174,175,185,189,195,199,203,204,205,206,211,
213,214,220,225,226,227,249,253,254,255,256,257,258,259,260,264,266,268,274,
275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,
294,295,296,297,298,299,300,301,302,307,309,311,344,354,361,368,371,374,375,
376,379,403,404,405,414,417,421,424,425,427,428,429,430,431,432,433,434,435,
436,437,438,440,479,480,482,483,485,491,495,506,533,543,592,593,595,597,598,
599,601,658],[1,2,7,12,35,36,37,38,39,107,112,115,167,236,321,331,445,453,460,
659],[1,3,9,13,35,36,37,38,40,108,110,117,166,235,321,328,443,455,457,660],[1,
3,8,14,35,36,37,38,41,108,110,116,165,234,321,325,443,454,456,661],[1,3,8,9,
13,14,15,36,40,41,62,102,108,116,117,207,249,250,347,454,455,662],[1,2,5,7,9,
10,12,17,19,35,39,43,45,47,49,58,68,103,107,115,119,121,125,130,131,166,210,
212,217,232,251,269,304,323,351,358,453,458,475,561,608,663],[1,2,4,7,8,11,12,
16,18,35,39,42,44,46,48,57,67,104,107,115,118,123,124,127,129,165,211,213,214,
233,252,272,303,324,349,361,453,459,476,560,607,664],[1,2,3,6,8,9,16,28,35,40,
41,48,49,54,55,85,102,107,109,110,127,152,154,155,165,166,207,208,209,233,240,
318,323,324,325,327,328,329,355,365,386,396,459,464,466,469,490,518,519,520,
577,609,615,665],[1,3,5,7,9,10,13,24,25,36,40,45,47,51,52,59,70,103,108,117,
120,126,134,145,147,167,210,222,224,242,261,298,330,356,372,455,461,477,564,
610,666],[1,2,3,6,8,9,15,26,28,35,40,41,48,49,54,55,87,102,107,109,110,154,
155,165,166,207,208,209,237,239,240,323,324,325,327,328,329,347,353,355,392,
396,466,469,489,518,519,520,609,611,612,667],[1,2,3,6,7,8,11,12,27,28,35,39,
41,48,50,51,55,61,66,104,107,109,110,115,118,124,140,155,156,165,211,225,227,
240,263,270,324,325,329,349,376,453,469,500,562,607,668],[1,2,3,6,7,9,10,13,
28,29,36,39,40,49,50,51,54,60,65,103,108,111,112,117,120,126,133,140,154,167,
217,221,224,245,257,265,326,330,331,356,369,455,463,484,568,610,669],[1,2,5,7,
9,10,12,17,19,35,39,43,45,49,52,59,68,103,107,115,119,121,125,149,150,166,217,
222,223,232,251,316,323,351,373,453,462,503,561,608,670],[1,2,3,6,7,9,10,12,
27,28,35,39,40,49,50,51,54,60,66,103,107,109,110,115,119,125,140,154,157,166,
217,221,224,240,263,271,323,327,328,351,369,453,466,501,562,608,671],[1,3,5,7,
9,10,13,24,25,36,40,43,47,51,52,58,70,103,108,117,120,126,141,144,147,167,212,
223,224,242,261,279,317,330,356,377,455,467,478,564,610,672],[1,2,3,6,8,9,19,
28,35,40,41,48,49,54,55,78,102,107,109,110,130,149,154,155,165,166,207,208,
209,232,240,305,323,324,325,327,328,329,355,362,390,396,458,462,466,469,488,
518,519,520,580,609,614,673],[1,3,4,7,8,11,14,22,25,36,41,44,46,51,53,56,73,
104,108,116,122,128,134,142,148,167,214,220,225,242,259,302,330,354,368,454,
461,495,563,613,674],[1,2,4,7,8,11,12,16,18,35,39,42,44,48,53,56,67,104,107,
115,118,123,124,152,153,165,211,220,226,233,252,313,324,349,379,453,464,498,
560,607,675],[1,2,3,6,7,8,11,14,28,30,36,39,41,48,50,51,55,61,69,104,108,111,
112,116,122,128,139,140,155,167,211,225,227,245,253,264,326,330,331,354,376,
454,463,483,572,613,676],[1,3,4,7,8,11,14,22,25,36,41,42,46,51,53,57,73,104,
108,116,122,128,141,143,148,167,213,225,226,242,259,288,307,330,354,374,454,
467,485,563,613,677],[1,2,3,5,6,7,8,9,10,11,12,17,19,24,27,28,33,40,41,43,47,
48,49,51,52,54,55,58,66,68,75,78,95,102,103,104,105,106,115,118,119,124,125,
130,131,144,147,149,150,154,155,156,157,159,178,207,208,209,212,215,223,224,
225,230,251,263,269,270,271,304,305,306,312,315,316,322,348,349,351,352,355,
357,359,360,362,364,366,377,416,439,446,449,473,475,488,494,499,500,501,503,
504,508,548,551,602,604,620,625,678],[1,2,3,6,7,8,9,10,11,12,15,26,27,28,40,
41,48,49,51,54,55,66,84,87,102,103,104,105,106,115,118,119,124,125,146,154,
155,156,157,172,207,208,209,224,225,263,270,271,322,347,348,349,351,353,355,
357,359,360,415,446,473,489,496,500,501,548,549,581,620,679],[1,2,3,4,6,7,8,9,
10,11,12,16,18,22,27,28,32,40,41,42,46,48,49,51,53,54,55,57,66,67,74,85,92,
102,103,104,105,106,115,118,119,124,125,127,129,143,148,152,153,154,155,156,
157,162,200,207,208,209,213,216,224,225,226,231,252,263,270,271,272,303,308,
310,311,313,318,322,348,349,350,351,355,357,359,360,363,365,367,374,409,441,
446,451,473,476,490,492,497,498,500,501,505,509,548,555,594,605,620,627,680],[
1,2,3,4,5,6,7,8,9,10,11,15,17,18,22,24,26,28,32,33,39,40,41,42,43,44,45,46,47,
48,49,50,51,52,53,54,55,56,57,58,59,60,61,71,74,75,87,97,102,103,104,105,106,
121,123,129,131,137,140,142,143,144,145,146,147,148,150,151,153,154,155,158,
159,162,163,164,199,207,208,209,210,211,212,213,214,215,216,217,218,219,220,
221,222,223,224,225,226,227,228,229,230,231,278,283,285,286,292,295,296,311,
312,322,347,350,352,353,355,358,361,363,364,366,367,368,369,370,371,372,373,
374,375,376,377,378,379,380,381,430,446,447,448,449,450,451,452,474,489,492,
494,502,506,507,549,550,551,552,553,554,555,556,557,558,559,588,621,622,623,
624,626,628,629,681],[1,2,3,4,5,6,7,12,13,16,17,18,19,20,21,22,27,28,29,31,32,
35,39,42,43,44,45,50,51,63,65,66,67,68,74,76,83,85,88,89,90,91,92,107,109,110,
115,120,121,123,132,133,135,136,138,140,142,143,158,168,170,174,196,200,201,
202,232,233,235,238,240,251,252,254,255,257,263,280,283,290,301,333,382,386,
388,399,403,407,409,453,511,521,560,561,562,631,634,635,682],[1,2,3,4,5,6,7,
12,14,16,17,18,19,20,23,24,27,28,30,31,33,35,39,42,43,44,45,50,51,64,66,67,68,
69,75,76,77,78,83,88,89,94,95,107,109,110,115,121,122,123,132,135,136,138,139,
140,144,145,151,169,171,173,178,182,193,196,232,233,234,240,241,251,252,253,
258,260,263,287,290,294,295,334,383,388,390,400,404,407,416,453,510,524,560,
561,562,630,634,638,683],[1,2,3,4,5,6,7,12,15,16,17,18,19,20,25,26,27,28,31,
34,35,39,42,43,44,45,50,51,66,67,68,72,76,80,83,84,86,87,88,89,98,107,109,110,
115,121,123,132,134,135,136,137,138,140,141,146,172,177,184,186,195,196,197,
232,233,237,239,240,243,251,252,263,274,275,278,284,289,290,300,346,387,388,
392,407,415,419,438,453,516,527,560,561,562,634,636,637,684],[1,2,3,4,6,7,12,
14,16,18,22,23,25,27,28,30,32,34,35,39,42,44,50,51,66,67,69,73,74,77,80,85,86,
92,96,100,107,109,110,115,122,123,134,139,140,141,142,143,158,169,176,180,184,
191,200,203,233,234,240,241,243,252,253,263,283,284,288,297,299,302,342,383,
386,387,400,409,419,425,453,515,534,560,562,630,635,637,685],[1,2,3,4,5,6,7,
12,15,16,17,18,19,22,24,26,27,28,32,33,35,39,42,43,44,45,50,51,66,67,68,71,74,
75,78,84,85,87,92,95,97,107,109,110,115,121,123,137,140,142,143,144,145,146,
151,158,172,178,187,190,192,199,200,232,233,237,239,240,251,252,263,278,283,
285,286,292,295,296,341,386,390,392,409,415,416,430,453,512,536,560,561,562,
635,636,638,686],[1,2,3,6,7,12,13,14,15,21,23,26,27,28,29,30,35,39,50,51,62,
65,66,69,77,79,81,82,84,87,90,99,107,109,110,115,120,122,133,137,139,140,146,
168,169,172,179,188,189,198,234,235,237,238,239,240,241,253,257,263,277,278,
281,291,293,332,382,383,385,389,391,392,393,399,400,415,432,453,514,526,562,
630,631,636,687],[1,2,3,5,6,7,12,13,17,19,21,24,25,27,28,29,33,34,35,39,43,45,
50,51,65,66,68,70,75,78,80,86,90,93,95,101,107,109,110,115,120,121,133,134,
140,141,144,145,151,168,178,181,183,184,185,194,232,235,238,240,243,251,257,
263,276,279,282,284,295,298,345,382,387,390,399,416,419,427,453,513,529,561,
562,631,637,638,688],[1,2,3,6,9,13,14,15,16,19,26,28,29,30,34,35,40,49,54,62,
65,69,78,79,80,81,82,85,87,88,107,109,110,117,130,149,154,166,170,173,181,186,
187,189,191,232,233,234,235,237,238,239,240,241,243,250,265,267,305,323,327,
328,343,382,383,385,386,387,388,389,390,391,392,393,411,412,413,457,458,462,
466,510,511,512,513,514,515,516,541,569,570,571,580,606,641,643,647,689],[1,2,
3,6,8,13,14,15,16,19,26,28,29,30,34,35,41,48,55,62,65,69,78,79,80,81,82,85,87,
88,107,109,110,116,127,152,155,165,170,173,181,186,187,189,191,232,233,234,
235,237,238,239,240,241,243,249,264,266,318,324,325,329,343,382,383,385,386,
387,388,389,390,391,392,393,410,420,421,456,459,464,469,510,511,512,513,514,
515,516,532,565,566,567,577,606,639,640,642,690],[1,2,3,5,6,9,12,13,17,19,21,
24,25,27,28,29,33,34,36,40,47,49,52,54,65,66,68,70,75,78,80,86,90,93,95,101,
108,111,112,117,119,130,131,147,149,150,154,157,159,168,178,181,183,184,185,
194,236,242,244,245,246,261,265,269,271,305,306,312,315,316,345,384,394,395,
397,413,423,439,455,517,531,564,568,633,644,648,691],[1,2,3,4,6,8,12,14,16,18,
22,23,25,27,28,30,32,34,36,41,46,48,53,55,66,67,69,73,74,77,80,85,86,92,96,
100,108,111,112,116,118,127,129,148,152,153,155,156,162,169,176,180,184,191,
200,203,236,242,244,245,246,259,264,270,272,308,310,311,313,318,342,384,394,
395,398,410,417,441,454,517,537,563,572,632,645,646,692],[1,2,7,8,9,10,11,12,
35,39,48,49,102,103,104,105,106,107,115,118,119,124,125,165,166,208,211,217,
322,323,324,348,349,351,359,360,396,448,453,518,548,607,608,693],[1,2,3,4,5,6,
7,8,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,
41,42,43,46,48,51,53,55,57,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,
79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,104,
115,116,118,120,122,124,127,128,129,136,141,143,144,146,148,152,153,155,156,
161,162,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,
185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,
204,205,206,213,225,226,249,251,252,255,256,259,260,263,264,266,270,272,277,
279,286,288,289,303,307,308,310,311,313,318,319,332,333,334,335,336,337,338,
339,340,341,342,343,344,345,346,349,354,374,398,399,400,405,406,407,409,410,
414,415,416,417,419,420,421,422,434,437,441,472,476,479,480,485,498,500,521,
523,524,526,527,528,529,532,533,534,536,537,538,539,542,582,593,605,616,618,
650,652,653,694],[1,2,3,4,5,6,7,9,10,12,13,14,15,16,17,18,19,20,21,22,23,24,
25,26,27,28,29,30,31,32,33,34,40,42,43,47,49,51,52,54,58,62,63,64,65,66,67,68,
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,
95,96,97,98,99,100,101,103,115,117,119,120,122,125,126,130,131,136,141,143,
144,146,147,149,150,154,157,159,160,168,169,170,171,172,173,174,175,176,177,
178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,
197,198,199,200,201,202,203,204,205,206,212,223,224,250,251,252,255,260,261,
262,263,265,267,269,271,277,279,286,288,289,304,305,306,312,315,316,317,320,
332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,351,356,377,397,
399,400,401,402,407,408,409,411,412,413,415,416,418,419,423,426,434,439,472,
475,478,481,486,501,503,521,522,524,525,526,527,529,530,531,534,535,536,540,
541,544,583,590,604,616,617,651,654,655,695],[1,2,3,6,8,14,28,30,35,36,37,38,
41,48,55,69,107,108,109,110,111,112,113,114,116,155,165,234,240,241,245,264,
321,324,325,329,383,443,444,445,454,456,469,547,566,572,661,696],[1,2,3,6,9,
13,28,29,35,36,37,38,40,49,54,65,107,108,109,110,111,112,113,114,117,154,166,
235,238,240,245,265,321,323,327,328,382,443,444,445,455,457,466,547,568,571,
660,697],[1,2,3,6,7,12,27,28,35,36,37,38,39,50,51,66,107,108,109,110,111,112,
113,114,115,140,167,236,240,244,245,263,321,326,330,331,384,443,444,445,453,
460,463,547,562,573,659,698],[1,3,4,5,8,9,13,14,15,20,22,24,25,36,40,41,46,47,
52,53,62,63,64,70,71,72,73,102,108,116,117,147,148,175,207,215,216,242,249,
250,256,259,261,262,347,350,352,402,405,454,455,474,563,564,662,699],[1,2,3,6,
7,9,10,12,13,21,27,28,29,35,39,49,50,51,65,66,90,103,107,109,110,115,117,119,
120,125,126,133,140,160,166,168,217,235,238,240,257,263,265,323,351,356,382,
397,399,401,453,457,484,562,571,583,608,631,700],[1,2,3,6,8,9,13,14,15,26,28,
29,30,36,40,41,48,49,54,55,62,65,69,79,81,82,87,102,108,111,112,116,117,154,
155,189,207,208,209,245,249,250,264,265,266,267,347,353,355,412,421,454,455,
489,568,572,662,701],[1,2,3,6,7,8,11,12,14,23,27,28,30,35,39,48,50,51,66,69,
77,104,107,109,110,115,116,118,122,124,128,139,140,161,165,169,211,234,240,
241,253,263,264,324,349,354,383,398,400,406,453,456,483,562,566,582,607,630,
702],[1,2,3,6,7,9,10,12,13,21,27,28,29,36,40,49,51,54,65,66,90,103,108,111,
112,115,117,119,120,125,126,154,157,160,167,168,224,236,244,245,263,265,271,
330,351,356,384,397,399,401,455,460,501,568,573,583,610,633,703],[1,2,3,6,7,8,
11,12,14,23,27,28,30,36,41,48,51,55,66,69,77,104,108,111,112,115,116,118,122,
124,128,155,156,161,167,169,225,236,244,245,263,264,270,330,349,354,384,398,
400,406,454,460,500,572,573,582,613,632,704],[1,2,3,4,6,7,8,11,12,16,18,22,27,
28,32,35,39,41,42,44,46,48,50,51,53,55,56,57,61,66,67,74,85,92,104,107,109,
110,115,118,123,124,127,129,140,142,143,148,152,153,155,156,158,162,163,165,
200,211,213,214,220,225,226,227,233,240,252,263,270,272,283,303,308,310,311,
313,318,324,325,329,349,361,368,371,374,375,376,379,386,409,441,453,459,464,
469,476,498,500,506,560,562,577,605,607,635,664,668,675,705],[1,2,3,4,6,7,8,
11,14,18,22,25,28,30,32,36,39,41,42,44,46,48,50,51,53,55,56,57,61,69,73,74,86,
96,104,108,111,112,116,122,123,128,129,134,139,140,141,142,143,148,153,155,
158,162,163,167,203,211,213,214,220,225,226,227,242,245,253,259,264,283,284,
288,297,299,302,307,311,326,330,331,354,361,368,371,374,375,376,379,395,417,
425,454,461,463,467,483,485,495,506,563,572,576,599,613,646,674,676,677,706],[
1,2,3,5,6,7,9,10,13,17,24,25,28,29,33,36,39,40,43,45,47,49,50,51,52,54,58,59,
60,65,70,75,86,93,103,108,111,112,117,120,121,126,131,133,134,140,141,144,145,
147,150,151,154,159,164,167,185,210,212,217,221,222,223,224,242,245,257,261,
265,276,279,282,284,295,298,312,317,326,330,331,356,358,369,370,372,373,377,
378,395,423,427,455,461,463,467,477,478,484,507,564,568,576,591,610,648,666,
669,672,707],[1,2,3,6,8,9,15,16,19,26,28,35,40,41,48,49,54,55,78,85,87,102,
107,109,110,127,130,149,152,154,155,165,166,187,207,208,209,232,233,237,239,
240,305,318,323,324,325,327,328,329,347,353,355,362,365,386,390,392,396,458,
459,462,464,466,469,488,489,490,512,518,519,520,577,580,587,609,611,612,614,
615,665,667,673,708],[1,2,3,5,6,7,9,10,12,17,19,24,27,28,33,35,39,40,43,45,47,
49,50,51,52,54,58,59,60,66,68,75,78,95,103,107,109,110,115,119,121,125,130,
131,140,144,145,147,149,150,151,154,157,159,164,166,178,210,212,217,221,222,
223,224,232,240,251,263,269,271,295,304,305,306,312,315,316,323,327,328,351,
358,369,370,372,373,377,378,390,416,439,453,458,462,466,475,501,503,507,561,
562,580,604,608,638,663,670,671,709],[1,2,3,4,5,6,7,8,9,10,11,12,15,16,17,18,
19,22,24,26,27,28,32,33,40,41,42,43,46,47,48,49,51,52,53,54,55,57,58,66,67,68,
71,74,75,78,84,85,87,92,95,97,102,103,104,105,106,115,118,119,124,125,127,129,
130,131,143,144,146,147,148,149,150,152,153,154,155,156,157,159,162,172,178,
187,190,192,199,200,207,208,209,212,213,215,216,223,224,225,226,230,231,251,
252,263,269,270,271,272,286,303,304,305,306,308,310,311,312,313,315,316,318,
322,341,347,348,349,350,351,352,353,355,357,359,360,362,363,364,365,366,367,
374,377,409,415,416,439,441,446,449,451,473,474,475,476,488,489,490,492,494,
496,497,498,499,500,501,502,503,504,505,508,509,536,548,549,551,555,581,586,
587,588,594,602,603,604,605,620,621,625,627,656,678,679,680,710],[1,2,3,4,5,6,
7,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,39,
42,43,44,45,50,51,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,
82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,107,109,110,115,
120,121,122,123,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,
151,158,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,
185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,
204,205,206,232,233,234,235,237,238,239,240,241,243,251,252,253,254,255,257,
258,260,263,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,
290,291,292,293,294,295,296,297,298,299,300,301,302,332,333,334,335,336,337,
338,339,340,341,342,343,344,345,346,382,383,385,386,387,388,389,390,391,392,
393,399,400,403,404,407,409,415,416,419,424,425,427,428,429,430,431,432,433,
434,435,436,438,453,472,510,511,512,513,514,515,516,521,524,526,527,529,534,
536,543,560,561,562,606,616,630,631,634,635,636,637,638,682,683,684,685,686,
687,688,711],[1,3,7,8,9,10,11,13,14,15,36,40,41,51,62,102,103,104,105,106,108,
116,117,120,122,126,128,146,167,207,224,225,249,250,277,322,330,347,354,356,
446,454,455,479,481,549,610,613,662,712],[1,2,3,6,7,8,9,10,11,12,27,28,35,39,
40,41,48,49,50,51,54,55,60,61,66,102,103,104,105,106,107,109,110,115,118,119,
124,125,140,154,155,156,157,165,166,207,208,209,211,217,221,224,225,227,228,
229,240,263,270,271,322,323,324,325,327,328,329,348,349,351,355,357,359,360,
369,376,396,446,447,448,453,466,469,473,500,501,518,519,520,548,552,562,607,
608,609,620,668,671,693,713],[1,2,4,7,8,9,10,11,12,16,18,35,39,42,44,46,48,49,
53,56,57,67,102,103,104,105,106,107,115,118,119,123,124,125,127,129,152,153,
165,166,208,211,213,214,216,217,218,220,226,231,233,252,272,303,313,322,323,
324,348,349,351,359,360,361,363,365,379,396,448,450,451,453,459,464,476,497,
498,509,518,548,557,560,607,608,615,627,664,675,693,714],[1,2,5,7,8,9,10,11,
12,17,19,35,39,43,45,47,48,49,52,58,59,68,102,103,104,105,106,107,115,118,119,
121,124,125,130,131,149,150,165,166,208,210,211,212,215,217,219,222,223,230,
232,251,269,304,316,322,323,324,348,349,351,358,359,360,362,366,373,396,448,
449,452,453,458,462,475,503,504,508,518,548,556,561,607,608,614,625,663,670,
693,715],[1,2,3,6,7,12,25,27,28,34,35,36,37,38,39,50,51,66,80,86,107,108,109,
110,111,112,113,114,115,134,140,141,167,184,236,240,242,243,244,245,246,247,
248,263,284,321,326,330,331,384,387,394,395,419,443,444,445,453,460,461,463,
467,517,545,546,547,562,573,576,619,637,649,659,698,716],[1,2,3,6,9,13,19,28,
29,34,35,36,37,38,40,49,54,65,78,80,107,108,109,110,111,112,113,114,117,130,
149,154,166,181,232,235,238,240,243,245,246,247,248,265,305,321,323,327,328,
382,387,390,394,413,443,444,445,455,457,458,462,466,513,545,546,547,568,571,
580,619,643,644,660,697,717],[1,2,3,6,8,14,16,28,30,34,35,36,37,38,41,48,55,
69,80,85,107,108,109,110,111,112,113,114,116,127,152,155,165,191,233,234,240,
241,243,245,246,247,248,264,318,321,324,325,329,383,386,387,394,410,443,444,
445,454,456,459,464,469,515,545,546,547,566,572,577,619,642,645,661,696,718],[
1,2,3,6,8,9,12,13,14,15,21,23,26,27,28,29,30,36,40,41,48,49,54,55,62,65,66,69,
77,79,81,82,84,87,90,99,102,108,111,112,116,117,118,119,154,155,156,157,168,
169,172,179,188,189,198,207,208,209,236,244,245,249,250,264,265,266,267,270,
271,332,347,348,353,355,357,384,397,398,412,418,421,422,454,455,473,489,496,
522,523,568,572,581,632,633,662,701,719],[1,2,3,6,7,8,11,12,13,14,15,21,23,26,
27,28,29,30,35,39,41,48,50,51,55,61,62,65,66,69,77,79,81,82,84,87,90,99,104,
107,109,110,115,116,118,120,122,124,128,133,137,139,140,146,155,156,161,165,
168,169,172,179,188,189,198,211,225,227,234,235,237,238,239,240,241,249,253,
257,263,264,266,270,277,278,281,291,293,309,324,325,329,332,349,354,376,382,
383,385,389,391,392,393,398,399,400,406,415,421,422,432,453,456,469,479,483,
491,500,514,523,526,562,565,566,567,582,595,607,630,631,636,640,652,668,687,
702,720],[1,2,3,6,8,9,13,14,15,16,19,26,28,29,30,34,36,40,41,48,49,54,55,62,
65,69,78,79,80,81,82,85,87,88,102,108,111,112,116,117,127,130,149,152,154,155,
170,173,181,186,187,189,191,207,208,209,245,246,249,250,264,265,266,267,305,
318,343,347,353,355,362,365,394,410,411,412,413,420,421,454,455,488,489,490,
532,541,568,572,587,644,645,662,701,721],[1,2,3,4,5,6,7,9,10,12,13,16,17,18,
19,20,21,22,27,28,29,31,32,35,39,42,43,44,45,49,50,51,52,59,63,65,66,67,68,74,
76,83,85,88,89,90,91,92,103,107,109,110,115,117,119,120,121,123,125,126,132,
133,135,136,138,140,142,143,149,150,158,160,166,168,170,174,196,200,201,202,
217,222,223,232,233,235,238,240,251,252,254,255,257,262,263,265,273,280,283,
290,301,316,323,333,351,356,373,382,386,388,397,399,401,403,407,408,409,411,
453,457,462,484,486,487,503,511,521,530,560,561,562,571,583,589,608,631,634,
635,647,655,670,682,700,722],[1,2,3,4,6,7,8,11,12,14,16,18,22,23,25,27,28,30,
32,34,35,39,42,44,46,48,50,51,57,66,67,69,73,74,77,80,85,86,92,96,100,104,107,
109,110,115,116,118,122,123,124,127,128,129,134,139,140,141,142,143,158,161,
165,169,176,180,184,191,200,203,211,213,214,233,234,240,241,243,252,253,259,
263,264,272,283,284,288,297,299,302,303,307,319,324,342,349,354,361,383,386,
387,398,400,406,409,410,417,419,425,453,456,459,476,483,485,495,515,534,537,
542,560,562,566,582,599,607,630,635,637,642,653,664,685,702,723],[1,2,3,5,6,7,
9,10,12,13,17,19,21,24,25,27,28,29,33,34,35,39,43,45,47,49,50,51,58,65,66,68,
70,75,78,80,86,90,93,95,101,103,107,109,110,115,117,119,120,121,125,126,130,
131,133,134,140,141,144,145,151,160,166,168,178,181,183,184,185,194,210,212,
217,232,235,238,240,243,251,257,261,263,265,269,276,279,282,284,295,298,304,
317,320,323,345,351,356,358,382,387,390,397,399,401,413,416,419,423,427,453,
457,458,475,477,478,484,513,529,531,544,561,562,571,583,591,608,631,637,638,
643,654,663,688,700,724],[1,2,3,4,5,6,7,8,11,12,14,16,17,18,19,20,23,24,27,28,
30,31,33,35,39,42,43,44,45,48,50,51,53,56,64,66,67,68,69,75,76,77,78,83,88,89,
94,95,104,107,109,110,115,116,118,121,122,123,124,128,132,135,136,138,139,140,
144,145,151,152,153,161,165,169,171,173,178,182,193,196,211,220,226,232,233,
234,240,241,251,252,253,256,258,260,263,264,268,287,290,294,295,313,324,334,
349,354,379,383,388,390,398,400,404,406,407,414,416,420,453,456,464,480,482,
483,498,510,524,538,560,561,562,566,582,597,607,630,634,638,639,650,675,683,
702,725],[1,2,3,4,5,6,8,9,13,14,15,17,18,20,22,24,25,26,28,29,30,31,32,33,36,
40,41,46,47,48,49,52,53,54,55,62,63,64,65,69,70,71,72,73,74,75,79,81,82,86,87,
89,91,93,94,96,97,98,102,108,111,112,116,117,129,131,147,148,150,153,154,155,
159,162,171,174,175,185,189,195,199,203,204,205,206,207,208,209,215,216,242,
245,249,250,256,259,261,262,264,265,266,267,311,312,344,347,350,352,353,355,
363,364,366,367,395,402,405,408,412,414,417,421,423,426,437,454,455,474,489,
492,494,502,525,533,563,564,568,572,588,646,648,662,699,701,726],[1,2,3,6,7,9,
10,12,13,14,15,21,23,26,27,28,29,30,35,39,40,49,50,51,54,60,62,65,66,69,77,79,
81,82,84,87,90,99,103,107,109,110,115,117,119,120,122,125,126,133,137,139,140,
146,154,157,160,166,168,169,172,179,188,189,198,217,221,224,234,235,237,238,
239,240,241,250,253,257,263,265,267,271,277,278,281,291,293,314,323,327,328,
332,351,356,369,382,383,385,389,391,392,393,397,399,400,401,412,415,418,432,
453,457,466,481,484,493,501,514,522,526,562,569,570,571,583,585,608,630,631,
636,641,651,671,687,700,727],[1,2,3,5,6,7,9,10,12,13,17,19,21,24,25,27,28,29,
33,34,36,40,43,47,49,51,52,54,58,65,66,68,70,75,78,80,86,90,93,95,101,103,108,
111,112,115,117,119,120,125,126,130,131,141,144,147,149,150,154,157,159,160,
167,168,178,181,183,184,185,194,212,223,224,236,242,244,245,246,251,261,263,
265,269,271,279,304,305,306,312,315,316,317,320,330,345,351,356,377,384,394,
395,397,399,401,413,416,419,423,439,455,460,467,475,478,501,503,517,529,531,
544,564,568,573,583,604,610,633,644,648,649,654,672,691,703,728],[1,2,3,4,6,7,
8,11,12,14,16,18,22,23,25,27,28,30,32,34,36,41,42,46,48,51,53,55,57,66,67,69,
73,74,77,80,85,86,92,96,100,104,108,111,112,115,116,118,122,124,127,128,129,
141,143,148,152,153,155,156,161,162,167,169,176,180,184,191,200,203,213,225,
226,236,242,244,245,246,252,259,263,264,270,272,288,303,307,308,310,311,313,
318,319,330,342,349,354,374,384,394,395,398,400,406,409,410,417,419,441,454,
460,467,476,485,498,500,517,534,537,542,563,572,573,582,605,613,632,645,646,
649,653,677,692,704,729],[1,3,8,9,13,14,15,35,36,37,38,40,41,62,102,108,110,
116,117,165,166,207,234,235,239,249,250,321,325,328,347,393,396,443,454,455,
456,457,520,567,570,612,660,661,662,730],[1,2,3,4,6,7,8,9,10,11,12,16,18,22,
27,28,32,35,39,40,41,42,44,46,48,49,50,51,53,54,55,56,57,60,61,66,67,74,85,92,
102,103,104,105,106,107,109,110,115,118,119,123,124,125,127,129,140,142,143,
148,152,153,154,155,156,157,158,162,163,165,166,200,207,208,209,211,213,214,
216,217,218,220,221,224,225,226,227,228,229,231,233,240,252,263,270,271,272,
283,303,308,310,311,313,318,322,323,324,325,327,328,329,348,349,350,351,355,
357,359,360,361,363,365,367,368,369,371,374,375,376,379,380,386,396,409,441,
446,447,448,450,451,453,459,464,466,469,473,476,490,492,497,498,500,501,505,
506,509,518,519,520,548,552,554,555,557,559,560,562,577,594,605,607,608,609,
615,620,622,627,635,664,665,668,671,675,680,693,705,713,714,731],[1,3,4,5,7,8,
9,10,11,13,14,15,20,22,24,25,36,40,41,44,45,46,47,51,52,53,56,59,62,63,64,70,
71,72,73,102,103,104,105,106,108,116,117,120,122,126,128,132,134,142,145,146,
147,148,167,175,207,210,214,215,216,218,219,220,222,224,225,242,249,250,254,
256,258,259,261,262,268,273,275,277,292,298,302,322,330,347,350,352,354,356,
368,372,402,405,435,446,450,452,454,455,461,474,477,479,481,482,487,495,549,
550,554,563,564,592,596,610,613,623,662,666,674,699,712,732],[1,3,4,5,7,8,9,
10,11,13,14,15,20,22,24,25,36,40,41,42,43,46,47,51,52,53,57,58,62,63,64,70,71,
72,73,102,103,104,105,106,108,116,117,120,122,126,128,136,141,143,144,146,147,
148,167,175,207,212,213,215,216,223,224,225,226,230,231,242,249,250,255,256,
259,260,261,262,277,279,286,288,289,307,317,322,330,347,350,352,354,356,374,
377,402,405,434,446,449,451,454,455,467,474,478,479,480,481,485,486,549,551,
555,563,564,590,593,610,613,621,662,672,677,699,712,733],[1,2,3,6,7,8,9,10,11,
13,14,15,26,28,29,30,36,39,40,41,48,49,50,51,54,55,60,61,62,65,69,79,81,82,87,
102,103,104,105,106,108,111,112,116,117,120,122,126,128,133,137,139,140,146,
154,155,167,189,207,208,209,211,217,221,224,225,227,228,229,245,249,250,253,
257,264,265,266,267,277,278,281,291,293,309,314,322,326,330,331,347,353,354,
355,356,369,376,412,421,432,446,447,448,454,455,463,479,481,483,484,489,491,
493,549,552,553,568,572,585,595,610,613,628,662,669,676,701,712,734],[1,2,3,5,
6,7,8,9,10,11,12,17,19,24,27,28,33,35,39,40,41,43,45,47,48,49,50,51,52,54,55,
58,59,60,61,66,68,75,78,95,102,103,104,105,106,107,109,110,115,118,119,121,
124,125,130,131,140,144,145,147,149,150,151,154,155,156,157,159,164,165,166,
178,207,208,209,210,211,212,215,217,219,221,222,223,224,225,227,228,229,230,
232,240,251,263,269,270,271,295,304,305,306,312,315,316,322,323,324,325,327,
328,329,348,349,351,352,355,357,358,359,360,362,364,366,369,370,372,373,376,
377,378,381,390,396,416,439,446,447,448,449,452,453,458,462,466,469,473,475,
488,494,499,500,501,503,504,507,508,518,519,520,548,550,551,552,556,558,561,
562,580,602,604,607,608,609,614,620,625,629,638,663,668,670,671,673,678,693,
709,713,715,735],[1,2,3,6,7,8,9,10,11,12,15,26,27,28,35,39,40,41,48,49,50,51,
54,55,60,61,66,84,87,102,103,104,105,106,107,109,110,115,118,119,124,125,137,
140,146,154,155,156,157,165,166,172,207,208,209,211,217,221,224,225,227,228,
229,237,239,240,263,270,271,278,322,323,324,325,327,328,329,347,348,349,351,
353,355,357,359,360,369,376,392,396,415,446,447,448,453,466,469,473,489,496,
500,501,518,519,520,548,549,552,553,562,581,607,608,609,611,612,620,628,636,
667,668,671,679,693,713,736],[1,2,3,4,5,6,7,9,10,12,13,14,15,16,17,18,19,20,
21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,39,40,42,43,44,45,47,49,50,51,52,
54,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,
84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,103,107,109,110,115,
117,119,120,121,122,123,125,126,130,131,132,133,134,135,136,137,138,139,140,
141,142,143,144,145,146,147,149,150,151,154,157,158,159,160,164,166,168,169,
170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,
189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,210,
212,217,221,222,223,224,232,233,234,235,237,238,239,240,241,243,250,251,252,
253,254,255,257,258,260,261,262,263,265,267,269,271,273,274,275,276,277,278,
279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,
298,299,300,301,302,304,305,306,312,314,315,316,317,320,323,327,328,332,333,
334,335,336,337,338,339,340,341,342,343,344,345,346,351,356,358,369,370,372,
373,377,378,382,383,385,386,387,388,389,390,391,392,393,397,399,400,401,402,
403,404,407,408,409,411,412,413,415,416,418,419,423,424,425,426,427,428,429,
430,431,432,433,434,435,436,438,439,442,453,457,458,462,466,472,475,477,478,
481,484,486,487,493,501,503,507,510,511,512,513,514,515,516,521,522,524,525,
526,527,529,530,531,534,535,536,540,541,543,544,560,561,562,569,570,571,580,
583,584,585,589,590,591,596,600,604,606,608,616,617,630,631,634,635,636,637,
638,641,643,647,651,654,655,657,663,670,671,682,683,684,685,686,687,688,689,
695,700,709,711,722,724,727,737],[1,2,3,4,5,6,7,8,11,12,13,14,15,16,17,18,19,
20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,39,41,42,43,44,45,46,48,50,51,
53,55,56,57,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,
83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,104,107,109,110,
115,116,118,120,121,122,123,124,127,128,129,132,133,134,135,136,137,138,139,
140,141,142,143,144,145,146,148,151,152,153,155,156,158,161,162,163,165,168,
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,
211,213,214,220,225,226,227,232,233,234,235,237,238,239,240,241,243,249,251,
252,253,254,255,256,257,258,259,260,263,264,266,268,270,272,274,275,276,277,
278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,
297,298,299,300,301,302,303,307,308,309,310,311,313,318,319,324,325,329,332,
333,334,335,336,337,338,339,340,341,342,343,344,345,346,349,354,361,368,371,
374,375,376,379,382,383,385,386,387,388,389,390,391,392,393,398,399,400,403,
404,405,406,407,409,410,414,415,416,417,419,420,421,422,424,425,427,428,429,
430,431,432,433,434,435,436,437,438,440,441,453,456,459,464,469,472,476,479,
480,482,483,485,491,495,498,500,506,510,511,512,513,514,515,516,521,523,524,
526,527,528,529,532,533,534,536,537,538,539,542,543,560,561,562,565,566,567,
577,582,592,593,595,597,598,599,601,605,606,607,616,618,630,631,634,635,636,
637,638,639,640,642,650,652,653,658,664,668,675,682,683,684,685,686,687,688,
690,694,702,705,711,720,723,725,738],[1,2,3,4,5,6,8,9,12,13,14,15,16,17,18,19,
20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,36,40,41,46,47,48,49,52,53,54,55,
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,
88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,108,111,112,116,117,118,119,
127,129,130,131,147,148,149,150,152,153,154,155,156,157,159,162,168,169,170,
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,
209,215,216,236,242,244,245,246,249,250,256,259,261,262,264,265,266,267,269,
270,271,272,305,306,308,310,311,312,313,315,316,318,332,333,334,335,336,337,
338,339,340,341,342,343,344,345,346,347,348,350,352,353,355,357,362,363,364,
365,366,367,384,394,395,397,398,402,405,408,410,411,412,413,414,417,418,420,
421,422,423,426,437,439,441,454,455,472,473,474,488,489,490,492,494,496,497,
499,502,504,505,517,522,523,525,528,530,531,532,533,535,537,538,539,540,541,
563,564,568,572,581,586,587,588,594,602,603,617,618,632,633,644,645,646,648,
656,662,691,692,699,701,719,721,726,739],[1,2,3,6,8,9,13,14,15,26,28,29,30,35,
36,37,38,40,41,48,49,54,55,62,65,69,79,81,82,87,102,107,108,109,110,111,112,
113,114,116,117,154,155,165,166,189,207,208,209,234,235,237,238,239,240,241,
245,249,250,264,265,266,267,321,323,324,325,327,328,329,347,353,355,382,383,
385,389,391,392,393,396,412,421,443,444,445,454,455,456,457,466,469,489,514,
518,519,520,547,565,566,567,568,569,570,571,572,609,611,612,640,641,660,661,
662,667,696,697,701,730,740],[1,2,3,6,7,8,11,12,14,23,27,28,30,35,36,37,38,39,
41,48,50,51,55,61,66,69,77,104,107,108,109,110,111,112,113,114,115,116,118,
122,124,128,139,140,155,156,161,165,167,169,211,225,227,234,236,240,241,244,
245,253,263,264,270,321,324,325,326,329,330,331,349,354,376,383,384,398,400,
406,443,444,445,453,454,456,460,463,465,469,471,483,500,547,562,566,572,573,
582,607,613,630,632,659,661,668,676,696,698,702,704,741],[1,2,3,6,7,9,10,12,
13,21,27,28,29,35,36,37,38,39,40,49,50,51,54,60,65,66,90,103,107,108,109,110,
111,112,113,114,115,117,119,120,125,126,133,140,154,157,160,166,167,168,217,
221,224,235,236,238,240,244,245,257,263,265,271,321,323,326,327,328,330,331,
351,356,369,382,384,397,399,401,443,444,445,453,455,457,460,463,466,468,470,
484,501,547,562,568,571,573,583,608,610,631,633,659,660,669,671,697,698,700,
703,742],[1,2,3,6,7,8,9,10,11,12,13,14,15,21,23,26,27,28,29,30,36,40,41,48,49,
51,54,55,62,65,66,69,77,79,81,82,84,87,90,99,102,103,104,105,106,108,111,112,
115,116,117,118,119,120,122,124,125,126,128,146,154,155,156,157,160,161,167,
168,169,172,179,188,189,198,207,208,209,224,225,236,244,245,249,250,263,264,
265,266,267,270,271,277,322,330,332,347,348,349,351,353,354,355,356,357,359,
360,384,397,398,399,400,401,406,412,415,418,421,422,446,454,455,460,473,479,
481,489,496,500,501,522,523,526,548,549,568,572,573,581,582,583,610,613,620,
632,633,651,652,662,679,701,703,704,712,719,743],[1,2,3,4,5,6,7,8,9,10,11,12,
15,16,17,18,19,22,24,26,27,28,32,33,35,39,40,41,42,43,44,45,46,47,48,49,50,51,
52,53,54,55,56,57,58,59,60,61,66,67,68,71,74,75,78,84,85,87,92,95,97,102,103,
104,105,106,107,109,110,115,118,119,121,123,124,125,127,129,130,131,137,140,
142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,162,
163,164,165,166,172,178,187,190,192,199,200,207,208,209,210,211,212,213,214,
215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,
237,239,240,251,252,263,269,270,271,272,278,283,285,286,292,295,296,303,304,
305,306,308,310,311,312,313,315,316,318,322,323,324,325,327,328,329,341,347,
348,349,350,351,352,353,355,357,358,359,360,361,362,363,364,365,366,367,368,
369,370,371,372,373,374,375,376,377,378,379,380,381,386,390,392,396,409,415,
416,430,439,441,446,447,448,449,450,451,452,453,458,459,462,464,466,469,473,
474,475,476,488,489,490,492,494,496,497,498,499,500,501,502,503,504,505,506,
507,508,509,512,518,519,520,536,548,549,550,551,552,553,554,555,556,557,558,
559,560,561,562,577,580,581,586,587,588,594,602,603,604,605,607,608,609,611,
612,614,615,620,621,622,623,624,625,626,627,628,629,635,636,638,656,663,664,
665,667,668,670,671,673,675,678,679,680,681,686,693,705,708,709,710,713,714,
715,731,735,736,744],[1,2,3,4,5,6,7,8,9,10,11,13,14,15,17,18,20,22,24,25,26,
28,29,30,31,32,33,36,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,
58,59,60,61,62,63,64,65,69,70,71,72,73,74,75,79,81,82,86,87,89,91,93,94,96,97,
98,102,103,104,105,106,108,111,112,116,117,120,121,122,123,126,128,129,131,
132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,150,151,
153,154,155,158,159,162,163,164,167,171,174,175,185,189,195,199,203,204,205,
206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,
225,226,227,228,229,230,231,242,245,249,250,253,254,255,256,257,258,259,260,
261,262,264,265,266,267,268,273,274,275,276,277,278,279,280,281,282,283,284,
285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,307,
309,311,312,314,317,322,326,330,331,344,347,350,352,353,354,355,356,358,361,
363,364,366,367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,395,
402,403,404,405,408,412,414,417,421,423,424,425,426,427,428,429,430,431,432,
433,434,435,436,437,438,440,442,446,447,448,449,450,451,452,454,455,461,463,
467,474,477,478,479,480,481,482,483,484,485,486,487,489,491,492,493,494,495,
502,506,507,525,533,543,549,550,551,552,553,554,555,556,557,558,559,563,564,
568,572,576,584,585,588,589,590,591,592,593,595,596,597,598,599,600,601,610,
613,621,622,623,624,626,628,629,646,648,657,658,662,666,669,672,674,676,677,
681,699,701,706,707,712,726,732,733,734,745],[1,2,3,6,8,9,13,14,15,16,19,26,
28,29,30,34,35,36,37,38,40,41,48,49,54,55,62,65,69,78,79,80,81,82,85,87,88,
102,107,108,109,110,111,112,113,114,116,117,127,130,149,152,154,155,165,166,
170,173,181,186,187,189,191,207,208,209,232,233,234,235,237,238,239,240,241,
243,245,246,247,248,249,250,264,265,266,267,305,318,321,323,324,325,327,328,
329,343,347,353,355,362,365,382,383,385,386,387,388,389,390,391,392,393,394,
396,410,411,412,413,420,421,443,444,445,454,455,456,457,458,459,462,464,466,
469,488,489,490,510,511,512,513,514,515,516,518,519,520,532,541,545,546,547,
565,566,567,568,569,570,571,572,577,580,587,606,609,611,612,614,615,619,639,
640,641,642,643,644,645,647,660,661,662,665,667,673,689,690,696,697,701,708,
717,718,721,730,740,746],[1,2,3,4,6,7,8,11,12,14,16,18,22,23,25,27,28,30,32,
34,35,36,37,38,39,41,42,44,46,48,50,51,53,55,56,57,61,66,67,69,73,74,77,80,85,
86,92,96,100,104,107,108,109,110,111,112,113,114,115,116,118,122,123,124,127,
128,129,134,139,140,141,142,143,148,152,153,155,156,158,161,162,163,165,167,
169,176,180,184,191,200,203,211,213,214,220,225,226,227,233,234,236,240,241,
242,243,244,245,246,247,248,252,253,259,263,264,270,272,283,284,288,297,299,
302,303,307,308,310,311,313,318,319,321,324,325,326,329,330,331,342,349,354,
361,368,371,374,375,376,379,383,384,386,387,394,395,398,400,406,409,410,417,
419,425,441,443,444,445,453,454,456,459,460,461,463,464,465,467,469,471,476,
483,485,495,498,500,506,515,517,534,537,542,545,546,547,560,562,563,566,572,
573,575,576,577,579,582,599,605,607,613,619,630,632,635,637,642,645,646,649,
653,659,661,664,668,674,675,676,677,685,692,696,698,702,704,705,706,716,718,
723,729,741,747],[1,2,3,5,6,7,9,10,12,13,17,19,21,24,25,27,28,29,33,34,35,36,
37,38,39,40,43,45,47,49,50,51,52,54,58,59,60,65,66,68,70,75,78,80,86,90,93,95,
101,103,107,108,109,110,111,112,113,114,115,117,119,120,121,125,126,130,131,
133,134,140,141,144,145,147,149,150,151,154,157,159,160,164,166,167,168,178,
181,183,184,185,194,210,212,217,221,222,223,224,232,235,236,238,240,242,243,
244,245,246,247,248,251,257,261,263,265,269,271,276,279,282,284,295,298,304,
305,306,312,315,316,317,320,321,323,326,327,328,330,331,345,351,356,358,369,
370,372,373,377,378,382,384,387,390,394,395,397,399,401,413,416,419,423,427,
439,443,444,445,453,455,457,458,460,461,462,463,466,467,468,470,475,477,478,
484,501,503,507,513,517,529,531,544,545,546,547,561,562,564,568,571,573,574,
576,578,580,583,591,604,608,610,619,631,633,637,638,643,644,648,649,654,659,
660,663,666,669,670,671,672,688,691,697,698,700,703,707,709,716,717,724,728,
742,748],[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,
26,27,28,29,30,31,32,33,34,36,40,41,42,43,46,47,48,49,51,52,53,54,55,57,58,62,
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,
89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,108,111,112,115,
116,117,118,119,120,122,124,125,126,127,128,129,130,131,136,141,143,144,146,
147,148,149,150,152,153,154,155,156,157,159,160,161,162,167,168,169,170,171,
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,
212,213,215,216,223,224,225,226,230,231,236,242,244,245,246,249,250,251,252,
255,256,259,260,261,262,263,264,265,266,267,269,270,271,272,277,279,286,288,
289,303,304,305,306,307,308,310,311,312,313,315,316,317,318,319,320,322,330,
332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,
351,352,353,354,355,356,357,359,360,362,363,364,365,366,367,374,377,384,394,
395,397,398,399,400,401,402,405,406,407,408,409,410,411,412,413,414,415,416,
417,418,419,420,421,422,423,426,434,437,439,441,446,449,451,454,455,460,467,
472,473,474,475,476,478,479,480,481,485,486,488,489,490,492,494,496,497,498,
499,500,501,502,503,504,505,508,509,517,521,522,523,524,525,526,527,528,529,
530,531,532,533,534,535,536,537,538,539,540,541,542,544,548,549,551,555,563,
564,568,572,573,581,582,583,586,587,588,590,593,594,602,603,604,605,610,613,
616,617,618,620,621,625,627,632,633,644,645,646,648,649,650,651,652,653,654,
655,656,662,672,677,678,679,680,691,692,694,695,699,701,703,704,710,712,719,
721,726,728,729,733,739,743,749],[1,2,3,6,7,8,9,10,11,12,13,14,15,21,23,26,27,
28,29,30,35,36,37,38,39,40,41,48,49,50,51,54,55,60,61,62,65,66,69,77,79,81,82,
84,87,90,99,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,
118,119,120,122,124,125,126,128,133,137,139,140,146,154,155,156,157,160,161,
165,166,167,168,169,172,179,188,189,198,207,208,209,211,217,221,224,225,227,
228,229,234,235,236,237,238,239,240,241,244,245,249,250,253,257,263,264,265,
266,267,270,271,277,278,281,291,293,309,314,321,322,323,324,325,326,327,328,
329,330,331,332,347,348,349,351,353,354,355,356,357,359,360,369,376,382,383,
384,385,389,391,392,393,396,397,398,399,400,401,406,412,415,418,421,422,432,
443,444,445,446,447,448,453,454,455,456,457,460,463,465,466,468,469,470,471,
473,479,481,483,484,489,491,493,496,500,501,514,518,519,520,522,523,526,547,
548,549,552,553,562,565,566,567,568,569,570,571,572,573,581,582,583,585,595,
607,608,609,610,611,612,613,620,628,630,631,632,633,636,640,641,651,652,659,
660,661,662,667,668,669,671,676,679,687,693,696,697,698,700,701,702,703,704,
712,713,719,720,727,730,734,736,740,741,742,743,750],[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]],
0,[[1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,3,1],[1,
3,1],[1,3,1],[1,1,1],[1,1,1],[1,1,2,1],[1,1,2,1],[1,1,1],[1,1,1,1,1],[1,3,1],[
1,1,2,1],[1,3,1],[1,1,2,1],[1,1,1],[1,1,1],[1,1,2,1],[1,1,1,1,1],[1,1,2,1],[1,
1,2,1],[1,1,1,1,1],[1,2,1,1],[1,2,1,1],[1,1,1],[1,1],[1,1],[1,1],[1,1],[1,3,1,
1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,1,1,1],[1,1,1,1],[1,3,1,1],[1,3,
1,1],[1,1,1,1],[1,1,1,1],[1,3,1,1],[1,1,1,1],[1,1,1,1],[1,1,1,1],[1,3,1,1],[1,
3,1,1],[1,1,1,1],[1,3,1,1],[1,3,1,1],[1,1,1,1],[1,3,1,1],[1,3,1,1],[1,5,1,1,1,
1],[1,3,3,1,1,3,3,1],[1,3,1,3,1,3,3,1],[1,1,3,3,1,3,3,1],[1,3,1,3,1,3,3,1],[1,
3,2,1,1,1,1],[1,3,2,1,1,1,1],[1,1,3,3,1,3,3,1],[1,3,2,1,1,1,1],[1,1,2,2,1,1,1,
1],[1,1,1,1,1,1,1,1],[1,3,2,1,1,1,1],[1,1,1,4,1,2,2,1,2,1],[1,1,1,4,1,2,2,1,2,
1],[1,1,2,2,1,1,1,1],[1,1,1,5,2,2,1,2,1],[1,1,1,1,2,1,1],[1,1,4,1,1,1,1],[1,1,
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],[1,1,1,1,2,1,1],[
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],[1,1,1,2,2,
1,1,1,2,1,2,1],[1,1,1,5,2,2,1,2,1],[1,1,3,1,2,1,1,1,2,2,1],[1,1,2,2,1,1,1,1],[
1,1,2,2,1,1,1,1],[1,1,1,3,2,1,1,1,2,2,1],[1,1,2,2,1,1,1,1],[1,1,2,2,1,1,1,1],[
1,1,2,2,1,1,1,1],[1,1,1,1,1,1,1,1],[1,1,4,1,1,1,1],[1,2,3,1,1,1,1],[1,2,3,1,1,
1,1],[1,2,2,1],[1,1,1,2,1],[1,1,1,2,1],[1,1,2,1,1],[1,1,1,2,1],[1,5,1,1],[1,5,
1,1],[1,5,1,1],[1,1,1,1],[1,5,1,1],[1,1,1,1],[1,5,1,1],[1,5,1,1],[1,3,4,1,1],[
1,3,4,1,1],[1,3,4,1,1],[1,3,1,1,3,1],[1,3,1,1,3,1],[1,3,1,1,3,1],[1,3,4,1,3,1,
1,1,1],[1,3,1,1,3,1],[1,3,4,1,3,1,1,1,1],[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],[1,1,6,1,3,2,1,1],[1,1,1,3,1,1],[1,1,6,1,3,2,1,1],[1,
1,1,1,1,1,1,1,1,1],[1,1,6,1,3,2,1,1],[1,1,1,1,1,1],[1,3,1,3,1,3,1,1,1,1],[1,1,
3,3,1,3,1,1,1,1],[1,1,1,3,1,1],[1,1,3,3,1,3,1,1,1,1],[1,1,6,1,3,2,1,1],[1,3,1,
3,1,3,1,1,1,1],[1,1,1,3,1,1],[1,1,2,1,1,2,1,1],[1,1,6,1,3,2,1,1],[1,1,6,1,3,2,
1,1],[1,1,2,1,1,2,1,1],[1,1,1,1,1,1],[1,3,4,1,3,1,1,1,1],[1,3,4,1,3,1,1,1,1],[
1,1,1,1,1,1],[1,1,2,1,1,1,2,1],[1,4,3,1,3,1,1,1,1],[1,1,1,1,1,1],[1,1,2,1,1,1,
2,1],[1,1,3,3,1,3,1,1,1,1],[1,1,3,3,1,3,1,1,1,1],[1,1,6,1,3,1,2,1],[1,1,6,1,3,
1,2,1],[1,4,3,1,3,1,1,1,1],[1,4,3,1,3,1,1,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,4,3,
1,3,1,1,1,1],[1,4,3,1,3,1,1,1,1],[1,4,3,1,3,1,1,1,1],[1,1,1,1],[1,1,1,1],[1,1,
1,1],[1,3,3,9,1,1,6,9,9,9,3,3,9,1],[1,3,3,9,1,1,6,9,9,9,3,3,9,1],[1,1,3,3,1,3,
1,3,3,1,3,3,1],[1,1,3,2,6,3,1,3,1,6,6,3,3,6,6,2,1,3,3,6,1],[1,3,1,3,1,1,3,3,3,
1,3,3,1],[1,1,3,3,1,1,3,3,3,1,3,3,1],[1,1,3,6,2,3,1,1,3,6,6,3,3,6,6,2,1,3,3,6,
1],[1,5,3,3,1,1,1,5,3,3,1,1,1,1,1,1,1,1,1],[1,1,1,5,2,2,2,2,1,2,1,1,1,1],[1,1,
1,1,1,1,2,2,1,1,1,1,1],[1,3,1,4,3,1,2,2,2,3,3,2,1,2,1,1,2,1],[1,1,1,9,1,2,2,1,
4,1,2,2,1,2,1,1,2,1],[1,1,1,4,5,2,2,2,2,1,2,2,2,1,1,1,4,1],[1,1,3,3,1,2,3,3,2,
1,1,1,1],[1,1,1,2,2,5,1,1,2,2,2,2,1,2,2,1,1,2,1,2,1],[1,1,1,4,5,2,2,2,2,1,2,2,
2,1,1,1,4,1],[1,3,1,3,1,2,3,3,2,1,1,1,1],[1,1,3,4,3,1,2,2,2,3,3,2,1,2,1,1,2,
1],[1,1,1,1,1,1,1,1,1,2,1,1,1,1],[1,1,1,1,1,2,2,1,1,1,1,1,1],[1,1,3,7,1,2,2,2,
3,3,2,1,1,2,1,2,1],[1,1,5,5,1,1,1,1,5,3,3,1,1,1,1,1,1,1,1],[1,1,1,4,1,2,2,2,2,
1,2,1,1,1,1],[1,1,3,3,1,2,3,3,2,1,1,1,1],[1,1,1,4,1,2,2,2,2,1,2,1,1,1,1],[1,1,
1,4,5,1,2,1,2,2,2,1,2,2,1,2,1,1,2,1],[1,1,1,5,2,2,2,2,1,2,1,1,1,1],[1,1,1,2,2,
1,1,1,1,2,2,1,1,2,2,1,1,1,2,1],[1,3,1,2,2,3,1,1,1,1,1,2,3,3,2,1,1,1,1,1,1,1,
1],[1,1,1,2,2,1,1,1,2,2,1,2,2,1,1,1,1],[1,1,3,7,1,2,2,2,3,2,3,1,2,1,1,2,1],[1,
1,1,4,4,1,1,2,2,2,2,1,1,2,2,2,1,1,1,2,1],[1,3,1,4,3,1,2,2,2,3,3,2,1,2,1,1,2,
1],[1,1,1,2,2,5,2,1,1,2,2,2,1,2,2,2,1,1,1,2,1],[1,1,1,4,5,1,2,1,2,2,2,1,2,2,1,
2,1,1,2,1],[1,1,3,4,3,1,2,2,2,3,3,2,1,2,1,1,2,1],[1,3,3,3,2,1,3,3,1,1,1,1,2,2,
1,1,1,1,1,1,1,1],[1,1,3,3,4,1,1,1,1,1,1,1,4,2,2,1,1,1,1,1,1,1,1],[1,3,3,3,2,1,
3,1,3,1,1,1,2,2,1,1,1,1,1,1,1,1],[1,9,2,2,6,6,1,1],[1,1,2,2,2,2,1,1],[1,9,2,2,
6,6,1,1],[1,3,1,1,2,3,1,1,1],[1,3,1,1,2,1,3,1,1],[1,9,1,1,2,3,3,6,1,1],[1,9,1,
1,2,3,3,6,1,1],[1,3,1,1,2,3,1,1,1],[1,3,2,2,1,3,1,1],[1,3,2,2,1,3,1,1],[1,3,1,
1,2,1,3,1,1],[1,3,1,2,1,1,3,1,1],[1,3,1,1,2,1,3,1,1],[1,1,1,1,2,1,1,2,1,1],[1,
9,1,1,2,3,3,6,1,1],[1,1,1,1,2,1,1,2,1,1],[1,3,1,1,2,1,3,1,1],[1,3,1,1,2,1,3,1,
1],[1,3,1,1,2,1,3,1,1],[1,3,1,1,2,1,3,1,1],[1,9,1,1,2,3,3,6,1,1],[1,9,1,1,2,3,
3,6,1,1],[1,9,1,2,1,3,6,3,1,1],[1,3,1,1,2,3,1,1,1],[1,3,1,2,1,3,1,1,1],[1,5,5,
1,1,1],[1,5,5,1,1,1],[1,3,1,1,3,1],[1,3,1,1,3,1],[1,3,1,1,3,1],[1,1,5,1,1,1],[
1,1,10,5,1,2,1,1],[1,1,1,1,1,1],[1,5,1,5,5,1,1,1,1,1],[1,1,10,5,1,2,1,1],[1,5,
5,1,1,1],[1,5,5,1,1,1],[1,1,10,5,1,2,1,1],[1,1,5,5,5,1,1,1,1,1],[1,5,5,1,1,
1],[1,5,5,1,1,1],[1,5,5,1,1,1],[1,9,4,3,1,3,4,3,1,1],[1,9,4,1,3,3,4,3,1,1],[1,
3,6,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,3,9,1,1,9,9,1,3,3,3,1,3,3,
1],[1,3,3,1,1,1,3,3,3,1,3,1,1,3,3,1],[1,3,9,3,1,1,9,9,3,1,3,3,1,3,3,1],[1,3,1,
3,4,1,3,3,4,1,1,1],[1,3,3,9,1,1,9,9,1,3,3,3,1,3,3,1],[1,3,1,3,1,1,3,3,1,3,3,1,
1,3,3,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,3,9,1,1,9,9,1,3,3,3,1,3,3,1],[1,3,6,4,1,
3,3,4,3,1,1],[1,3,3,1,4,1,3,3,4,1,1,1],[1,3,1,3,4,1,3,3,4,1,1,1],[1,1,3,3,4,1,
3,3,4,1,1,1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,
4,3,1,1],[1,3,1,3,4,1,3,3,4,1,1,1],[1,3,6,1,1,3,3,2,3,3,1,1,1,1],[1,3,3,9,1,1,
9,9,1,3,3,3,1,3,3,1],[1,3,3,9,1,1,9,9,1,3,3,3,1,3,3,1],[1,3,6,1,1,3,3,2,3,3,1,
1,1,1],[1,3,3,1,4,1,3,3,4,1,1,1],[1,1,1,1,1,1,3,3,1,1,1,3,1,1,1,1],[1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1],[1,1,2,6,1,1,3,3,2,2,1,3,1,1,1,1],[1,5,1,1,1,1,5,1,1,1,
1,1],[1,3,1,3,1,1,3,3,1,1,1,3,1,1,1,1],[1,3,6,1,1,3,3,2,3,3,1,1,1,1],[1,1,7,1,
6,1,1,3,3,6,6,2,1,1,2,1,3,1,1,2,1,2,1],[1,3,6,1,1,3,3,2,3,3,1,1,1,1],[1,1,6,6,
1,3,1,3,2,2,1,3,1,1,1,1],[1,3,1,8,3,1,6,4,3,6,1,2,2,1,1,3,2,1,1,1,2,1],[1,3,1,
3,1,4,3,1,1,1,3,1,1,1,1],[1,1,2,6,1,1,3,3,2,2,1,3,1,1,1,1],[1,1,6,6,1,1,3,3,2,
2,1,3,1,1,1,1],[1,1,3,5,6,1,3,1,3,6,6,1,1,2,2,1,3,2,1,1,1,2,1],[1,3,6,1,1,3,3,
2,3,3,1,1,1,1],[1,1,3,3,1,1,3,3,1,1,1,3,1,1,1,1],[1,3,1,4,4,3,1,3,3,4,3,6,1,1,
1,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,3,6,1,1,3,3,2,3,3,1,1,1,1],[1,1,2,2,1,1,1,1,2,
2,1,1,1,1,1,1],[1,1,12,1,1,3,3,4,1,3,1,1,1,1],[1,1,1,7,6,1,1,3,3,6,6,2,1,1,2,
1,3,1,2,1,1,2,1],[1,3,1,8,3,1,6,4,3,6,1,2,2,1,1,3,2,1,1,1,2,1],[1,1,6,2,1,3,1,
3,2,2,1,3,1,1,1,1],[1,1,6,6,1,3,1,3,2,2,1,3,1,1,1,1],[1,3,2,1,1,1,1,2,3,1,1,1,
1,1],[1,1,2,6,1,1,3,3,2,2,1,3,1,1,1,1],[1,1,3,3,1,3,1,3,1,1,1,3,1,1,1,1],[1,1,
5,3,6,1,3,1,3,6,6,1,1,2,2,1,3,1,1,2,1,2,1],[1,3,2,1,1,1,1,2,3,1,1,1,1,1],[1,3,
6,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,1,3,3,1,4,3,1,1,1,3,1,1,1,1],[1,
1,2,6,1,1,3,3,1,2,2,3,1,1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,1,2,6,1,3,1,3,1,2,2,
3,1,1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,1,6,6,1,1,3,3,2,1,2,3,1,1,1,1],[1,1,3,8,
3,1,4,6,3,6,1,2,1,2,1,3,1,2,1,1,2,1],[1,1,3,8,3,1,4,6,3,6,1,2,1,2,1,3,1,2,1,1,
2,1],[1,3,2,1,1,1,1,3,2,1,1,1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,1,6,6,1,3,1,3,2,
1,2,3,1,1,1,1],[1,3,2,1,1,1,1,3,2,1,1,1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,1,3,3,
1,4,3,1,1,1,3,1,1,1,1],[1,6,3,4,1,3,3,4,3,1,1],[1,6,3,4,1,3,3,4,3,1,1],[1,1,1,
2,2,1],[1,1,2,2,4,4,1,2,2,4,4,1],[1,5,1,1,5,1,1,1],[1,5,1,1,5,1,1,1],[1,3,1,1,
1,3,1,1],[1,15,1,1,5,3,1,1],[1,15,1,1,5,3,1,1],[1,3,1,1,1,3,1,1],[1,15,1,1,5,
3,1,1],[1,5,1,1,5,1,1,1],[1,3,1,1,1,3,1,1],[1,3,5,15,1,1,1,1,6,6,3,15,15,9,9,
1,3,5,3,9,3,3,3,3,3,9,6,1,1,1,3,3,3,3,1],[1,3,3,6,2,9,1,1,3,1,3,1,6,6,6,9,9,9,
6,6,2,3,3,3,1,3,3,3,3,3,3,9,6,6,1,1,1,3,3,3,3,1],[1,3,3,2,6,9,1,1,1,3,1,3,6,6,
6,9,9,9,6,6,2,3,1,3,3,3,3,9,3,3,3,3,6,6,1,1,1,3,3,3,3,1],[1,1,1,4,4,9,1,1,2,2,
1,2,2,2,2,1,4,1,2,2,2,2,2,2,1,1,2,1,2,1,2,1,1,1,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[
1,1,1,2,2,9,1,2,1,1,2,2,2,2,2,1,4,1,2,2,2,2,2,1,1,2,2,1,1,1,1,1,2,2,2,2,1,1,1,
1,1,1,1,1],[1,1,3,6,2,7,1,1,3,2,6,6,2,2,2,3,3,2,6,6,2,2,1,3,1,1,1,2,2,1,3,6,2,
2,4,1,1,1,1,1,1,1,1],[1,1,3,4,7,1,3,2,1,2,2,2,2,2,3,3,2,2,1,2,1,2,1,2,1,3,1,3,
2,2,2,1,1,1,1,1,1,1,1],[1,1,3,2,6,7,1,2,3,1,6,2,6,2,2,3,2,3,6,6,2,2,1,3,2,1,2,
1,1,3,1,2,6,2,4,1,1,1,1,1,1,1,1],[1,1,3,4,7,1,1,2,3,2,2,2,2,2,3,2,3,2,1,2,1,3,
2,2,1,1,3,1,2,2,2,1,1,1,1,1,1,1,1],[1,3,1,4,4,3,1,1,2,2,2,2,2,2,3,3,3,2,2,1,2,
2,2,1,1,1,3,1,3,2,2,2,1,1,1,1,1,1,1,1],[1,3,3,4,9,1,1,2,2,2,6,2,9,9,9,2,2,3,2,
3,2,1,9,1,1,1,2,2,4,1,1,1,1,1,1,1,1],[1,1,5,5,1,1,1,3,3,1,5,3,3,2,1,1,1,3,1,1,
1,1,3,1,5,1,1,1,1,1,1,1,1],[1,1,5,6,6,5,1,1,1,3,3,10,6,6,2,1,5,3,3,10,6,6,1,2,
2,1,1,2,2,2,2,3,3,1,1,1,1,1,5,6,2,6,2,2,2,1,1,2,1,1,1,1,1,2,2,2,1],[1,3,3,4,9,
1,1,2,2,6,2,2,9,9,9,2,2,3,3,2,2,1,1,1,1,9,2,2,4,1,1,1,1,1,1,1,1],[1,3,1,2,2,3,
1,1,1,1,1,1,2,2,3,3,3,2,2,1,1,1,2,1,1,1,3,1,3,1,1,2,1,1,1,1,1,1,1,1],[1,9,2,2,
9,6,6,1,1,1],[1,3,2,2,1,6,6,1,2,2,3,1],[1,3,4,1,8,1,3,4,1,1,2,1],[1,9,6,2,2,9,
6,6,2,6,1,6,1,2,1],[1,3,4,1,8,1,3,4,1,1,2,1],[1,9,6,2,2,9,6,6,2,6,1,6,1,2,1],[
1,9,2,2,9,6,6,1,1,1],[1,3,1,4,8,1,3,4,1,1,2,1],[1,1,9,9,2,2,9,6,6,2,2,6,6,1,6,
6,1,1,1,1],[1,3,1,4,8,1,3,4,1,1,2,1],[1,1,18,2,2,9,2,2,12,12,1,6,6,1,2,1],[1,
3,12,1,1,2,9,1,3,3,4,3,6,1,3,3,1,1,1,1],[1,3,1,4,8,1,3,4,1,2,1,1],[1,3,1,8,4,
1,3,4,1,1,2,1],[1,3,12,1,1,2,9,1,3,3,4,3,6,1,3,3,1,1,1,1],[1,1,2,2,3,2,2,1,1,
3,1,1],[1,1,6,2,2,3,2,2,2,6,1,1,3,1,2,1],[1,6,9,2,2,9,2,6,6,6,1,6,1,2,1],[1,1,
2,2,3,2,2,1,1,3,1,1],[1,1,6,2,2,3,2,2,2,6,1,1,3,1,2,1],[1,6,9,2,2,9,2,6,6,6,1,
6,1,2,1],[1,3,4,1,1,2,3,1,4,1,3,1,2,1,3,1,1,1,1,1],[1,3,3,9,1,1,2,9,1,1,3,3,3,
3,6,1,3,3,1,1,1,1],[1,10,9,1,1,2,9,3,1,3,3,1,3,6,2,6,1,3,3,6,1,1,1,1],[1,6,9,
1,1,2,9,1,3,1,3,3,3,6,1,3,3,1,1,1,1],[1,3,4,1,1,2,3,1,4,1,3,1,2,1,3,1,1,1,1,
1],[1,3,4,1,1,2,3,1,1,1,3,4,2,1,1,3,1,1,1,1],[1,3,12,1,1,2,9,1,4,3,3,3,6,1,3,
3,1,1,1,1],[1,10,9,1,1,2,9,3,1,3,3,1,3,2,6,6,1,3,3,6,1,1,1,1],[1,3,3,9,1,1,2,
9,1,1,3,3,3,3,6,1,3,3,1,1,1,1],[1,3,12,1,1,2,9,1,4,3,3,3,6,1,3,3,1,1,1,1],[1,
6,9,1,1,2,9,1,3,1,3,3,3,6,1,3,3,1,1,1,1],[1,3,4,1,1,2,3,1,1,1,3,4,2,1,1,3,1,1,
1,1],[1,6,9,1,2,1,9,1,3,3,3,1,6,3,1,3,3,1,1,1,1],[1,6,9,1,1,2,9,1,3,3,1,3,3,6,
1,3,3,1,1,1,1],[1,5,3,15,1,15,15,1,5,1,3,3,1,3,3,1],[1,5,3,15,1,15,15,1,5,1,3,
3,1,3,3,1],[1,3,5,15,1,15,15,1,5,1,3,3,1,3,3,1],[1,3,10,1,5,5,1,5,2,3,1,1,1,
1],[1,5,1,5,10,5,1,5,1,1,1,2,1,1],[1,5,1,5,5,10,1,5,1,1,1,1,2,1],[1,5,1,5,5,5,
5,1,5,1,1,1,1,1,1,1],[1,3,10,1,5,5,1,5,2,3,1,1,1,1],[1,5,1,5,10,5,1,5,1,1,1,2,
1,1],[1,1,20,1,5,5,1,5,4,1,1,1,1,1],[1,5,1,5,1,5,5,1,5,1,1,1,1,1,1,1],[1,5,1,
1,1,1,1,5,1,1,1,1],[1,1,5,5,5,10,1,5,1,1,1,1,2,1],[1,1,5,5,10,5,1,5,1,1,1,2,1,
1],[1,2,2,1,1,2,2,1],[1,3,3,9,4,1,1,6,9,9,9,12,3,3,9,1,4,1,3,1],[1,3,3,9,4,1,
1,6,9,9,9,12,3,3,9,1,4,1,3,1],[1,3,3,9,4,1,1,6,9,9,9,12,3,3,9,1,4,1,3,1],[1,3,
3,9,4,1,1,6,9,9,9,12,3,3,9,1,4,1,3,1],[1,3,3,9,16,1,1,6,9,9,9,3,3,9,4,4,12,1,
1],[1,9,3,7,4,1,3,3,9,3,9,3,4,4,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,3,3,12,4,9,
1,1,3,9,12,12,9,9,18,18,1,3,1,3,1,3,3,4,3,9,9,18,1,1,3,3,3,3,3,3,3,3,3,6,3,1,
1,1,3,3,3,3,1],[1,3,3,4,12,9,1,1,9,3,12,12,9,9,18,18,1,1,3,1,3,3,3,4,3,9,9,18,
3,1,1,3,3,3,3,3,3,3,3,6,3,1,1,1,3,3,3,3,1],[1,9,7,3,4,3,1,3,9,9,3,3,4,4,4,3,3,
1,3,3,3,3,1,4,3,1,1,1,1],[1,3,3,9,16,1,1,6,9,9,9,3,3,9,4,4,12,1,1],[1,3,1,6,6,
3,4,1,3,3,3,3,6,3,3,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,3,6,2,3,4,1,1,3,
6,6,3,3,6,6,4,8,2,1,3,3,6,1,4,1,2,1,1],[1,3,1,12,3,4,1,6,6,6,3,3,6,8,4,1,6,3,
3,6,1,4,3,2,1,1],[1,1,3,3,4,1,6,3,3,6,4,1,3,3,1,4,3,1,1],[1,1,3,3,4,1,3,1,3,3,
4,1,3,3,1,4,1,1,1],[1,1,9,9,4,1,3,3,3,9,3,9,4,4,4,3,1,3,3,3,3,3,1,4,3,1,1,1,
1],[1,1,3,3,4,1,6,3,3,6,4,1,3,3,1,4,3,1,1],[1,1,3,2,6,3,4,1,3,1,6,6,3,3,6,6,4,
8,2,1,3,3,6,1,4,1,2,1,1],[1,3,1,3,4,1,1,3,3,3,4,1,3,3,1,4,1,1,1],[1,3,1,12,3,
4,1,6,6,6,3,3,6,8,4,1,6,3,3,6,1,4,3,2,1,1],[1,1,3,12,3,4,1,6,6,6,3,3,6,8,4,1,
6,3,3,6,1,4,3,2,1,1],[1,1,3,15,4,1,6,6,6,3,3,6,4,8,1,3,6,3,6,1,4,3,1,2,1],[1,
3,1,3,4,1,6,3,3,6,4,1,3,3,1,4,3,1,1],[1,1,3,3,4,1,1,3,3,3,4,1,3,3,1,4,1,1,1],[
1,1,9,9,4,3,1,3,3,9,9,3,4,4,4,3,3,1,3,3,3,3,1,4,3,1,1,1,1],[1,1,3,15,4,1,6,6,
6,3,6,3,4,8,1,6,3,3,6,1,4,3,1,2,1],[1,1,3,12,3,4,1,6,6,6,3,3,6,8,4,1,6,3,3,6,
1,4,3,2,1,1],[1,1,5,5,12,1,1,3,1,1,3,3,3,12,6,6,1,1,2,2,4,1,1,3,3,3,3,3,3,1,2,
1,2,1,1,1,1,1,2,2,3,1,1,1,1,1,1,1,1],[1,3,3,8,9,1,1,6,4,4,9,9,6,1,2,2,3,3,3,4,
3,3,6,1,2,1,3,3,1,1,1,2,3,1,1,1,1,1,1,1,1],[1,3,3,7,6,4,1,3,3,3,3,3,3,6,6,4,4,
4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,3,3,8,9,1,1,6,4,4,9,9,6,1,2,2,3,3,3,4,3,3,6,
1,2,3,1,3,1,1,1,2,3,1,1,1,1,1,1,1,1],[1,3,3,7,6,1,1,3,3,3,3,3,3,6,6,2,3,1,2,3,
1,3,3,3,3,3,3,1,3,1,2,1,1,3,1,2,3,1,1,1,1,1,1,1,1],[1,1,7,7,12,1,1,1,3,3,1,3,
3,12,6,6,2,2,1,1,4,1,3,1,3,3,3,3,3,1,1,1,2,2,1,1,1,1,2,2,3,1,1,1,1,1,1,1,1],[
1,3,1,8,8,3,1,1,6,6,4,4,3,3,6,6,1,2,2,2,2,1,1,4,3,3,3,6,2,2,1,1,1,1,1,1,1,2,2,
3,1,1,1,1,1,1,1,1],[1,3,5,9,6,1,1,9,1,9,1,3,3,6,6,1,3,2,2,3,3,1,3,3,3,3,3,1,1,
1,3,1,2,1,3,2,3,1,1,1,1,1,1,1,1],[1,3,5,15,1,1,1,1,3,15,9,9,1,5,5,1,3,3,3,3,3,
3,1,1,3,1,3,5,1,3,1,1,1,1,1,1,1,1],[1,3,9,5,6,1,1,9,9,1,1,3,3,6,6,3,1,2,2,3,3,
1,3,3,3,3,3,1,1,2,3,1,1,3,1,2,3,1,1,1,1,1,1,1,1],[1,5,9,9,1,1,1,1,15,9,9,3,3,
3,5,1,3,3,3,3,3,3,1,1,5,1,3,3,1,3,1,1,1,1,1,1,1,1],[1,5,3,3,1,1,1,1,5,3,3,1,3,
3,5,1,1,1,1,1,1,1,1,1,5,1,3,3,1,1,1,1,1,1,1,1,1,1],[1,3,7,3,6,1,1,3,3,3,3,3,3,
6,6,2,1,3,2,3,1,3,3,3,3,3,3,1,3,1,2,1,1,1,3,2,3,1,1,1,1,1,1,1,1],[1,3,7,3,6,4,
1,3,3,3,3,3,3,6,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,3,1,4,4,3,1,1,3,3,4,4,
3,3,6,1,1,1,1,1,1,1,4,3,3,3,6,1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,3,3,
8,9,1,1,4,4,6,9,9,6,1,2,3,2,3,3,4,3,3,6,1,1,1,2,1,1,3,3,2,3,1,1,1,1,1,1,1,1],[
1,3,7,3,6,4,1,3,3,3,3,3,3,6,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,3,3,8,9,1,
1,4,4,6,9,9,6,1,2,3,2,3,3,4,3,3,6,1,1,1,2,1,1,3,3,2,3,1,1,1,1,1,1,1,1],[1,3,3,
7,6,4,1,3,3,3,3,3,3,6,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,5,1,1,2,2,1,5,1,
1],[1,25,1,1,2,2,5,5,10,10,1,1],[1,5,1,1,2,2,1,5,1,1],[1,9,1,2,2,4,4,6,6,9,1,
2,2,4,4,1,6,6,1,1],[1,27,1,2,2,4,4,9,18,18,36,36,1,2,2,4,4,3,6,6,12,12,1,1],[
1,3,1,2,2,4,4,1,6,6,1,2,2,4,4,3,2,2,1,1],[1,9,1,2,2,4,4,3,3,9,6,1,2,2,4,4,1,3,
3,6,1,1],[1,3,1,2,2,4,4,3,1,3,6,1,2,2,4,4,1,1,2,3,1,1],[1,9,1,2,2,4,4,3,3,9,6,
1,2,2,4,4,1,3,3,6,1,1],[1,3,1,2,2,4,4,3,1,3,6,1,2,2,4,4,1,1,2,3,1,1],[1,15,10,
5,6,10,6,5,1],[1,15,10,5,6,10,6,5,1],[1,15,10,5,6,10,6,5,1],[1,3,4,1,1,3,1,4,
1,1],[1,3,4,1,1,3,1,4,1,1],[1,5,1,15,1,5,1,5,1,3,1,1],[1,5,1,15,1,5,1,5,1,3,1,
1],[1,3,4,1,1,3,1,4,1,1],[1,5,1,5,1,5,1,5,1,1,1,1],[1,5,1,5,1,5,1,5,1,1,1,1],[
1,3,5,15,1,15,1,1,5,5,1,3,3,5,1,3,1,1,1,1],[1,5,1,5,1,5,1,5,1,1,1,1],[1,15,10,
5,6,10,6,5,1],[1,5,3,15,1,15,1,1,5,5,1,3,3,5,1,3,1,1,1,1],[1,5,1,15,1,5,1,5,1,
3,1,1],[1,15,10,5,6,10,6,5,1],[1,5,3,15,1,15,1,1,5,5,1,3,3,5,1,3,1,1,1,1],[1,
15,10,5,6,10,6,5,1],[1,15,10,5,6,10,6,5,1],[1,3,5,6,6,15,1,1,1,1,3,3,3,3,10,6,
6,6,6,2,3,15,15,9,9,10,6,6,2,1,2,2,3,5,3,3,3,2,2,2,2,3,3,5,9,3,3,1,3,3,5,3,3,
1,3,5,5,9,6,6,2,6,6,2,2,2,6,4,4,1,1,1,1,1,1,1,2,1,1,3,3,1,1,3,1,1,1,1,1,3,3,1,
1,1,3,1,1,5,1,3,1,3,3,3,1,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,3,9,27,2,
2,1,27,27,6,6,6,6,18,18,9,1,2,2,18,18,18,18,1,3,3,6,6,1,3,3,1],[1,9,6,6,2,2,9,
9,9,6,6,2,2,6,6,9,1,6,6,1,2,2,1,1,1,1],[1,3,18,4,1,8,1,9,9,12,6,3,24,9,4,1,1,
2,3,3,4,3,3,6,1,1],[1,3,18,4,1,8,1,9,9,12,6,3,24,9,4,1,1,2,3,3,4,3,3,6,1,1],[
1,3,6,1,4,8,1,3,3,6,4,3,3,4,1,1,2,3,3,4,1,3,1,1],[1,3,18,1,4,8,1,9,9,6,12,3,
24,9,4,1,1,2,3,3,4,3,3,6,1,1],[1,9,1,4,8,3,1,3,4,9,3,4,1,3,1,2,3,4,1,3,1,1],[
1,3,3,9,1,4,8,1,9,9,1,3,3,12,3,4,1,1,2,3,3,4,3,1,1,1],[1,9,1,4,8,1,3,3,4,9,3,
4,1,1,3,2,3,4,1,3,1,1],[1,3,1,3,1,4,8,1,3,3,1,3,3,4,8,1,4,1,1,2,3,3,4,1,1,2,1,
1],[1,3,3,9,1,4,8,1,9,9,1,12,3,3,3,4,1,1,2,3,3,4,1,3,1,1],[1,3,3,9,1,4,8,1,9,
9,1,12,3,3,3,4,1,1,2,3,3,4,1,3,1,1],[1,3,18,1,4,8,1,9,9,6,12,3,24,9,4,1,1,2,3,
3,4,3,3,6,1,1],[1,3,9,3,1,4,8,1,9,9,3,1,3,12,3,4,1,1,2,3,3,4,1,3,1,1],[1,3,3,
1,1,4,8,1,3,3,3,1,3,4,8,1,4,1,1,2,3,3,4,1,1,2,1,1],[1,1,9,9,2,2,6,9,6,6,2,2,6,
6,9,1,2,6,6,6,1,1,1,6,1,2,1],[1,1,9,9,2,2,9,9,9,6,6,2,2,6,6,9,1,6,6,1,1,1,1,1,
1,1],[1,1,9,9,2,2,6,9,6,6,2,2,6,6,9,1,2,6,6,6,1,1,1,6,1,2,1],[1,3,18,1,4,8,1,
9,9,6,3,12,24,9,4,1,1,2,3,3,4,3,3,6,1,1],[1,1,9,12,9,2,2,6,18,9,18,6,6,4,2,2,
12,6,6,9,1,2,12,6,6,6,12,1,1,1,4,6,2,1,2,2,1],[1,3,18,1,4,8,1,9,9,6,3,12,24,9,
4,1,1,2,3,3,4,3,3,6,1,1],[1,1,9,12,9,2,2,6,18,9,18,6,6,4,2,2,12,6,6,9,1,2,12,
6,6,6,12,1,1,1,4,6,2,1,2,2,1],[1,3,6,1,4,8,1,3,3,6,4,3,3,4,1,1,2,3,3,4,1,3,1,
1],[1,1,9,9,2,2,18,9,6,6,2,2,6,6,9,1,6,6,1,1,1,2,1,1],[1,3,6,2,2,1,3,3,2,6,6,
6,3,1,2,2,1,1,3,3,3,2,1,3,1,1,1,1],[1,3,6,4,1,8,1,3,3,4,3,6,3,4,1,1,2,3,3,4,1,
3,1,1],[1,1,6,18,2,2,3,3,9,2,2,2,6,12,12,9,1,1,1,3,3,6,6,1,2,2,3,3,1,1,1,1],[
1,3,3,9,4,1,8,1,9,9,1,3,12,3,3,4,1,1,2,3,3,4,3,1,1,1],[1,3,3,9,4,1,8,1,9,9,1,
3,12,3,3,4,1,1,2,3,3,4,3,1,1,1],[1,9,6,6,2,2,9,9,9,6,6,2,2,6,6,9,1,6,6,1,2,2,
1,1,1,1],[1,3,6,4,1,8,1,3,3,4,3,6,3,4,1,1,2,3,3,4,1,3,1,1],[1,3,6,2,2,1,3,3,2,
6,6,6,3,1,2,2,1,1,3,3,3,2,1,3,1,1,1,1],[1,1,6,18,2,2,3,3,9,2,2,2,6,12,12,9,1,
1,1,3,3,6,6,1,2,2,3,3,1,1,1,1],[1,3,3,16,9,1,1,2,12,12,9,18,1,1,4,4,4,3,3,3,4,
3,2,6,6,9,1,4,3,3,3,3,4,3,3,6,6,6,1,1,1,1,1,1,1,3,3,1,1,1,1,1,1,1,1],[1,3,3,
16,9,1,1,2,12,12,9,18,1,1,4,4,4,3,3,3,4,3,6,2,6,9,1,4,3,3,3,3,4,3,6,3,6,6,1,1,
1,1,1,1,1,3,3,1,1,1,1,1,1,1,1],[1,3,6,1,4,8,1,3,3,3,6,4,3,4,1,2,1,3,3,4,1,3,1,
1],[1,3,6,1,8,4,1,3,3,3,6,4,3,4,1,1,2,3,3,4,1,3,1,1],[1,5,3,15,1,5,15,15,15,1,
5,15,15,1,3,3,5,3,1,1,3,3,1,3,3,1],[1,5,3,15,1,15,5,15,15,1,5,15,15,1,3,3,5,1,
3,1,3,3,1,3,3,1],[1,5,1,5,1,10,10,5,5,1,5,5,5,1,1,1,5,2,2,1,1,1,1,1,1,1],[1,5,
3,15,1,10,15,15,10,1,5,5,5,1,3,3,5,2,1,3,3,2,1,1,1,1],[1,5,5,25,1,1,1,5,25,15,
15,1,1,5,5,5,5,5,5,1,5,5,5,1,1,1,3,1,5,3,1,1,1,1,1,1,1,1],[1,5,3,15,1,10,15,
15,10,1,5,5,5,1,3,3,5,2,1,3,3,2,1,1,1,1],[1,5,1,5,1,5,5,5,5,10,1,5,5,5,1,1,1,
5,1,1,1,1,1,2,1,1,1,1],[1,3,5,15,1,10,15,15,10,1,5,5,5,1,3,3,5,1,2,3,3,2,1,1,
1,1],[1,5,2,2,1,10,10,1,1,2,2,5,2,2,1,1],[1,45,2,2,1,30,30,1,9,2,2,5,6,6,1,
1],[1,9,2,2,1,6,6,1,9,2,2,1,6,6,1,1],[1,3,3,18,6,9,4,1,1,9,3,9,3,18,6,18,9,9,
9,18,18,12,4,12,6,3,3,9,3,9,9,9,9,9,9,9,18,18,1,4,12,12,1,3,3,9,9,9,9,1,3,4,3,
3,1,3,3,1],[1,3,9,27,4,1,1,3,3,6,18,9,27,27,9,27,4,12,12,3,3,9,9,27,9,9,9,9,9,
9,18,1,4,12,12,1,3,3,9,9,9,9,1,3,3,4,3,1,3,3,1],[1,3,9,27,4,1,3,1,3,18,6,9,27,
27,27,9,4,12,12,3,9,9,3,9,9,9,9,9,9,27,18,1,4,12,12,3,1,3,9,9,9,9,1,3,3,4,3,1,
3,3,1],[1,3,3,6,18,9,4,1,1,3,9,3,9,18,6,18,9,9,9,18,18,4,12,12,6,3,3,9,3,9,9,
9,9,9,9,9,18,18,1,4,12,12,1,3,3,9,9,9,9,3,1,4,3,3,1,3,3,1],[1,1,9,6,14,9,4,1,
3,3,7,3,18,6,18,6,3,9,3,9,18,6,18,4,8,4,8,4,3,2,6,1,3,6,6,6,6,3,9,3,3,3,3,3,9,
6,6,18,6,6,6,1,4,8,4,4,8,3,1,6,3,3,3,3,3,6,6,6,1,2,2,1,1,4,3,2,1,1,1,2,1],[1,
3,5,15,4,1,1,1,1,6,6,3,15,15,9,9,20,1,3,5,3,9,3,3,3,3,3,9,6,1,4,4,4,1,1,1,3,3,
3,3,5,4,1,1,1,1,1],[1,3,1,6,6,3,4,1,1,3,3,3,3,6,6,3,3,3,6,6,4,4,4,1,3,3,6,3,3,
3,3,3,3,3,3,6,1,4,4,4,1,3,3,3,3,3,3,1,1,1,4,3,1,1,1,1],[1,1,3,12,15,4,1,1,6,3,
6,6,6,6,6,3,6,3,6,8,4,8,1,6,3,3,6,6,3,3,3,3,6,6,6,1,4,4,4,1,3,3,3,3,3,3,2,1,2,
4,3,1,1,1,1],[1,3,3,12,9,4,1,1,6,6,6,6,6,9,9,9,6,6,8,12,3,3,6,6,3,3,3,3,9,6,6,
12,1,4,4,4,1,3,3,3,3,3,3,2,3,4,3,1,1,1,1],[1,3,3,6,2,9,4,1,1,3,1,3,1,6,6,6,9,
9,9,6,6,12,8,2,3,3,3,1,3,3,3,3,3,3,9,6,6,1,4,4,4,1,1,1,3,3,3,3,2,3,4,1,1,1,1,
1],[1,3,3,12,9,4,1,1,6,6,6,6,6,9,9,9,6,6,8,12,3,3,6,6,3,3,3,3,9,6,6,12,1,4,4,
4,1,3,3,3,3,3,3,2,3,4,3,1,1,1,1],[1,1,9,9,4,3,1,3,7,3,3,9,9,3,6,4,4,4,3,3,1,3,
3,3,3,3,9,3,9,1,4,4,4,3,1,3,3,3,3,3,1,1,1,4,3,1,1,1,1],[1,1,9,14,6,9,4,3,1,3,
3,7,18,18,6,6,3,9,9,3,18,18,6,4,8,4,8,4,3,6,2,3,1,6,6,6,6,9,3,3,3,3,3,3,9,18,
6,6,6,6,6,1,4,8,4,4,8,1,3,6,3,3,3,3,3,6,6,6,1,2,2,1,1,4,3,2,1,1,1,2,1],[1,3,3,
12,9,4,1,1,6,6,6,6,6,9,9,9,6,6,8,12,3,6,3,6,3,9,3,3,3,6,6,12,1,4,4,4,1,3,3,3,
3,3,3,2,3,4,3,1,1,1,1],[1,1,3,6,2,15,4,1,1,3,6,6,6,6,6,6,3,3,6,6,6,6,4,8,8,2,
1,3,3,3,3,6,6,3,3,6,6,6,12,1,4,4,4,1,3,3,3,3,3,3,2,1,2,4,3,1,1,1,1],[1,3,1,12,
12,3,4,1,1,6,6,6,6,6,6,3,3,3,6,6,8,8,4,1,6,6,6,3,3,3,3,3,3,6,6,6,1,4,4,4,1,3,
3,3,3,3,3,2,2,1,4,3,1,1,1,1],[1,3,3,12,9,4,1,1,6,6,6,6,6,9,9,9,6,6,8,12,3,6,3,
6,3,9,3,3,3,6,6,12,1,4,4,4,1,3,3,3,3,3,3,2,3,4,3,1,1,1,1],[1,3,3,2,6,9,4,1,1,
1,3,1,3,6,6,6,9,9,9,6,6,12,8,2,3,1,3,3,3,3,9,3,3,3,3,6,6,1,4,4,4,1,1,1,3,3,3,
3,2,3,4,1,1,1,1,1],[1,1,3,2,6,15,4,1,6,3,1,6,6,6,6,6,3,6,3,6,6,6,4,8,8,2,1,3,
6,3,6,3,3,3,3,6,6,6,12,1,4,4,4,1,3,3,3,3,3,3,2,1,2,4,3,1,1,1,1],[1,1,3,12,15,
4,1,3,6,1,6,6,6,6,6,3,3,6,6,8,4,8,1,6,3,6,3,6,3,3,3,3,6,6,6,1,4,4,4,1,3,3,3,3,
3,3,2,1,2,4,3,1,1,1,1],[1,1,9,9,4,1,3,3,3,7,3,9,3,9,6,4,4,4,3,1,3,9,3,3,3,3,3,
3,9,1,4,4,4,1,3,3,3,3,3,3,1,1,1,4,3,1,1,1,1],[1,3,3,12,9,16,1,1,6,6,6,6,6,9,9,
9,6,6,16,3,6,3,6,3,9,3,3,3,6,6,12,4,4,12,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,3,5,12,
12,15,1,1,1,1,9,9,20,12,12,4,3,15,9,9,30,18,18,1,3,3,3,3,5,5,1,4,4,3,3,4,4,4,
4,9,9,3,3,3,3,3,15,18,6,18,6,6,6,1,3,1,3,5,3,1,5,5,1,5,3,5,1,3,3,3,3,1,6,6,3,
3,4,3,3,3,3,3,6,6,6,1,1,1,1,1,1,1,1,1,1,1,1,3,1,1,3,1,1,1,3,1,1,5,1,1,1,3,3,1,
1,1,1,1,3,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,3,3,12,9,16,1,1,6,6,6,6,6,9,
9,9,6,6,16,3,3,6,6,3,3,3,3,9,6,6,12,4,4,12,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,25,
25,1,1,2,2,5,5,10,10,5,5,10,10,1,1,1],[1,25,25,1,1,2,2,5,5,10,10,5,5,1,1,1],[
1,5,5,25,25,1,1,2,2,1,1,5,5,5,5,10,10,5,5,1,1,1,1,1],[1,3,4,2,2,16,16,1,6,6,1,
8,8,16,16,1,2,2,4,4,3,4,1,2,2,4,4,1],[1,9,1,2,2,4,4,9,6,6,9,1,2,2,4,4,9,1,6,6,
1,1,1,1],[1,9,6,1,2,2,4,4,9,6,6,6,2,9,6,12,1,2,2,4,4,9,6,1,2,2,4,6,6,6,1,1,6,
1,2,1],[1,9,18,1,2,2,4,4,27,6,6,6,6,9,18,12,1,2,2,4,4,9,18,1,2,6,6,6,6,12,1,3,
6,1,2,1],[1,3,9,27,1,2,2,4,4,27,1,6,6,6,6,9,9,18,18,36,36,1,2,2,4,4,9,18,18,1,
3,3,2,2,6,6,6,6,12,12,1,3,6,6,1,1,1,1],[1,9,1,2,2,4,4,27,6,6,9,1,2,2,4,4,9,1,
6,6,1,3,1,1],[1,9,6,1,2,2,4,4,9,6,6,6,2,9,6,12,1,2,2,4,4,9,6,1,2,2,4,6,6,6,1,
1,6,1,2,1],[1,9,18,1,2,2,4,4,27,6,6,6,6,9,18,12,1,2,2,4,4,9,18,1,2,6,6,6,6,12,
1,3,6,1,2,1],[1,3,12,1,2,2,4,4,9,1,3,3,4,6,6,12,6,6,1,2,2,4,4,3,3,9,3,1,2,1,4,
2,2,3,3,6,1,1,3,3,1,1,1,1],[1,3,12,1,2,2,4,4,9,1,3,3,4,6,6,12,6,6,1,2,2,4,4,3,
3,9,3,2,1,1,4,2,2,3,3,6,1,1,3,3,1,1,1,1],[1,12,27,1,2,2,4,4,27,3,3,4,9,12,18,
18,6,6,36,36,1,2,2,4,4,9,18,18,3,1,1,4,2,6,3,3,6,12,12,6,1,3,3,3,6,1,1,1,1],[
1,12,27,1,2,2,4,4,27,3,3,4,9,12,18,18,6,6,36,36,1,2,2,4,4,9,18,18,3,1,1,4,2,3,
6,3,6,12,12,6,1,3,3,3,6,1,1,1,1],[1,15,10,10,5,15,15,6,10,10,10,15,6,5,10,6,5,
1,1],[1,15,10,10,5,15,15,6,10,10,10,15,6,5,10,6,5,1,1],[1,15,1,15,10,5,15,15,
6,10,10,10,5,6,6,6,5,10,6,5,1,1],[1,15,10,10,5,15,15,6,10,10,10,15,6,5,10,6,5,
1,1],[1,15,10,10,5,15,15,6,10,10,10,15,6,5,10,6,5,1,1],[1,3,30,4,1,15,15,1,20,
15,6,3,1,4,1,3,3,5,4,3,1,1],[1,5,3,15,4,1,15,15,1,20,5,1,3,3,1,4,1,3,3,5,4,1,
1,1],[1,9,4,3,1,3,1,4,3,9,1,4,1,3,3,1,4,3,1,1],[1,1,15,15,10,5,15,15,6,10,10,
10,5,6,6,6,5,10,6,5,1,1],[1,3,30,4,1,15,15,1,20,15,6,3,1,4,1,3,3,5,4,3,1,1],[
1,9,4,1,3,3,1,4,3,9,1,4,3,1,3,1,4,3,1,1],[1,5,3,15,4,1,15,15,1,20,5,1,3,3,1,4,
1,3,3,5,4,1,1,1],[1,1,15,15,10,5,15,15,6,10,10,10,5,6,6,6,5,10,6,5,1,1],[1,3,
5,15,4,1,15,15,1,20,5,1,3,3,1,4,1,3,3,5,4,1,1,1],[1,10,15,10,5,15,15,6,10,10,
10,15,6,5,10,6,5,1,1],[1,10,15,10,5,15,15,6,10,10,10,15,6,5,10,6,5,1,1],[1,3,
5,15,1,20,15,1,1,5,5,15,1,3,3,5,5,5,1,4,3,5,1,1,1,3,1,1,1,1],[1,5,3,15,1,20,
15,1,1,5,5,15,1,3,3,5,5,5,1,4,3,5,1,1,1,3,1,1,1,1],[1,10,15,10,5,15,15,6,10,
10,10,15,6,5,10,6,5,1,1],[1,10,15,10,5,15,15,6,10,10,10,15,6,5,10,6,5,1,1],[1,
5,3,15,1,20,15,1,1,5,5,15,1,3,3,5,5,5,1,4,3,5,1,1,1,3,1,1,1,1],[1,3,9,27,2,2,
1,9,27,27,27,6,6,6,6,18,18,9,27,27,1,2,2,18,18,18,18,9,1,3,3,6,6,1,1,3,3,3,1,
3,3,1],[1,3,3,9,4,4,32,1,1,6,9,9,9,12,12,3,3,9,16,1,1,4,4,8,8,24,1,3,3,4,4,1,
1,2,1],[1,3,3,9,4,4,32,1,1,6,9,9,9,12,12,3,3,9,16,1,1,4,4,8,8,24,1,3,3,4,4,1,
1,2,1],[1,3,3,19,18,1,4,8,1,3,3,9,9,9,9,18,18,6,3,1,12,6,3,4,12,24,8,24,1,9,9,
9,9,9,9,4,1,1,2,3,3,6,3,3,3,3,6,12,24,9,4,4,4,1,3,1,3,2,3,3,3,3,3,3,6,6,1,4,3,
3,6,1,1,1,1],[1,3,9,27,1,4,8,1,3,3,9,27,9,27,1,4,12,9,9,12,24,3,3,9,9,9,9,9,4,
1,1,3,2,3,3,9,9,3,12,9,4,4,4,1,3,1,3,3,3,3,3,3,3,6,1,4,3,3,1,1,1,1],[1,1,9,12,
9,2,2,6,6,18,18,9,18,6,6,4,2,2,12,6,6,9,9,9,1,2,2,12,6,6,6,6,12,9,1,1,1,4,6,6,
2,2,1,2,2,2,1,1,1,1],[1,1,9,9,2,2,9,6,6,9,9,6,6,2,2,6,6,9,9,9,1,2,2,6,6,6,6,9,
1,1,1,6,6,1,1,1,2,2,1,1,1,1],[1,1,9,12,12,9,2,2,9,6,6,18,18,9,9,18,18,6,6,4,4,
2,2,12,12,6,6,18,9,9,9,18,1,2,2,12,12,6,6,6,6,12,12,9,1,1,1,4,4,6,6,1,2,2,1,1,
2,2,2,2,2,1,1,1,2,1],[1,3,3,12,4,9,1,4,8,1,3,9,12,12,9,9,18,18,1,3,1,3,1,12,3,
3,16,8,4,3,9,9,18,4,1,1,1,3,2,3,3,3,3,3,3,3,3,12,6,3,4,4,4,1,1,1,4,3,2,3,3,3,
3,1,4,1,3,1,1,1,1],[1,9,9,21,1,4,8,1,3,3,27,9,27,9,4,3,7,12,9,12,24,3,3,9,9,9,
9,9,4,1,1,3,2,9,3,3,9,3,12,9,4,4,4,1,1,3,3,3,3,3,3,3,3,6,1,4,3,3,1,1,1,1],[1,
3,3,24,9,1,4,8,1,18,12,12,9,9,18,1,6,6,16,12,3,3,24,3,12,9,9,18,4,1,1,6,2,12,
3,3,3,3,3,3,6,9,4,4,4,1,4,3,3,3,3,3,3,3,6,1,4,3,3,1,1,1,1],[1,9,7,3,1,4,8,3,1,
3,9,9,3,3,4,7,3,4,9,4,8,3,3,1,3,3,3,3,4,1,3,1,2,9,3,9,3,3,4,3,4,4,4,1,3,1,1,1,
2,3,3,3,3,3,1,4,1,3,1,1,1,1],[1,9,21,9,1,4,8,3,1,3,27,27,9,9,4,7,3,12,9,12,24,
3,9,3,9,9,9,9,4,1,3,1,2,9,3,9,3,3,12,9,4,4,4,1,3,3,3,1,3,3,3,3,3,6,1,4,3,3,1,
1,1,1],[1,3,9,12,27,2,2,1,6,6,18,27,27,18,6,6,4,6,6,12,18,18,9,6,9,9,18,1,2,2,
2,2,12,6,6,18,18,18,18,12,9,1,3,3,4,6,6,2,6,6,6,6,6,1,2,3,3,2,2,2,6,1,1,1,2,2,
1],[1,3,9,27,1,4,8,3,1,3,9,27,27,9,1,4,12,9,9,12,24,3,9,3,9,9,9,9,4,1,3,1,2,9,
3,3,9,3,12,9,4,4,4,1,1,3,3,3,3,3,3,3,3,6,1,4,3,3,1,1,1,1],[1,9,3,7,1,4,8,1,3,
3,9,3,9,3,4,3,7,4,9,4,8,3,1,3,3,3,3,3,4,1,1,3,2,9,3,3,9,3,4,3,4,4,4,1,1,3,1,1,
2,3,3,3,3,3,1,4,1,3,1,1,1,1],[1,3,3,4,12,9,1,4,8,1,9,3,12,12,9,9,18,18,1,1,3,
1,3,12,3,3,16,8,4,3,9,9,18,4,1,3,1,1,2,3,3,3,3,3,3,3,3,6,12,3,4,4,4,1,4,1,1,3,
2,3,3,3,3,1,4,1,3,1,1,1,1],[1,3,19,3,18,1,4,8,1,3,9,3,9,9,9,18,18,6,1,3,12,6,
3,4,12,8,24,24,1,9,9,9,9,9,9,4,1,1,2,3,3,6,3,3,3,3,6,12,24,9,4,4,4,1,1,3,3,2,
3,3,3,3,3,3,6,6,1,4,3,3,6,1,1,1,1],[1,3,3,24,9,1,4,8,1,18,12,12,9,9,18,1,6,6,
16,12,3,3,24,3,12,9,9,18,4,1,1,6,2,12,3,3,3,3,3,3,6,9,4,4,4,1,4,3,3,3,3,3,3,3,
6,1,4,3,3,1,1,1,1],[1,3,9,9,18,1,4,8,1,9,9,3,3,9,9,18,18,3,1,6,4,6,3,12,12,24,
3,3,9,9,9,9,9,4,1,1,2,3,6,3,3,3,3,3,6,12,9,4,4,4,1,1,3,3,3,3,3,3,3,3,6,1,4,3,
3,1,1,1,1],[1,3,9,9,18,1,4,8,1,9,3,9,3,9,9,18,18,1,3,6,4,6,3,12,12,24,3,3,9,9,
9,9,9,4,1,1,2,3,3,3,3,6,3,3,6,12,9,4,4,4,3,1,1,3,3,3,3,3,3,3,6,1,4,3,3,1,1,1,
1],[1,3,9,12,27,2,2,1,6,6,18,27,27,18,6,6,4,6,6,12,18,18,9,6,9,9,18,1,2,2,2,2,
12,6,6,18,18,18,18,12,9,1,3,3,4,2,6,6,6,6,6,6,6,1,2,3,3,2,2,2,6,1,1,1,2,2,1],[
1,1,9,12,9,2,2,6,6,18,18,9,18,6,6,4,2,2,12,6,6,9,9,9,1,2,2,12,6,6,6,6,12,9,1,
1,1,4,6,6,2,2,1,2,2,2,1,1,1,1],[1,3,3,24,9,4,1,8,1,12,12,18,9,9,18,1,16,6,3,
12,6,3,24,3,12,9,9,18,4,1,1,2,3,3,12,6,3,3,3,3,6,9,4,4,4,4,3,3,1,6,3,3,3,3,3,
1,4,3,3,1,1,1,1],[1,3,3,24,9,4,1,8,1,12,12,18,9,9,18,1,16,6,3,12,6,3,24,3,12,
9,9,18,4,1,1,2,3,3,12,6,3,3,3,3,6,9,4,4,4,4,3,1,3,6,3,3,3,3,3,1,4,3,3,1,1,1,
1],[1,5,5,25,1,1,1,15,15,5,25,15,15,10,1,1,5,5,15,5,5,5,5,15,5,25,1,5,5,5,5,5,
5,5,5,5,3,3,1,1,1,3,1,5,3,2,5,1,1,1,3,1,5,1,3,1,1,1,1,1,1,1,1,1,1,1],[1,15,10,
1,20,5,6,10,15,10,6,5,5,10,6,10,6,5,1,1],[1,15,10,1,20,5,6,10,15,10,6,5,5,10,
6,10,6,5,1,1],[1,5,9,45,2,2,45,1,6,6,10,10,30,30,1,1,9,9,30,30,2,2,1,5,5,9,2,
2,6,6,6,6,5,1,6,6,1,1,1,1],[1,15,1,10,20,5,6,10,15,10,6,5,5,10,6,10,6,5,1,1],[
1,9,2,2,45,1,6,6,1,9,2,2,1,9,6,6,5,1,1,1],[1,9,2,2,9,1,6,6,1,9,2,2,1,9,6,6,1,
1,1,1],[1,15,1,10,20,5,6,10,15,10,6,5,5,10,6,10,6,5,1,1],[1,5,2,2,15,1,10,10,
1,1,5,15,2,2,5,3,2,2,5,1,1,3,1,1],[1,5,2,2,15,1,10,10,1,1,5,15,2,2,5,3,2,2,5,
1,1,3,1,1],[1,3,5,18,18,15,4,1,1,1,1,9,9,9,9,30,6,18,6,18,6,3,15,15,9,9,30,18,
18,6,12,12,20,1,6,6,3,5,9,9,3,6,6,6,6,9,9,15,9,9,3,3,3,3,15,3,9,3,3,15,15,9,
18,18,6,18,18,6,6,6,6,12,12,1,4,4,20,4,12,12,4,1,1,3,3,1,3,3,6,3,3,9,3,3,3,9,
3,3,3,3,3,3,3,3,3,3,9,3,3,15,3,3,3,9,9,9,3,6,6,6,3,3,4,4,5,4,4,4,4,4,1,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,1,1,5,3,1,3,1,4,3,1,1,1,1,1,1,1,1],[1,3,9,6,14,27,4,1,1,
3,3,3,7,3,7,18,6,6,18,18,6,9,27,27,9,27,18,6,18,6,4,8,12,8,12,3,2,6,3,9,3,7,9,
6,6,6,6,3,9,9,27,9,9,3,9,9,9,9,3,3,9,9,9,9,6,6,6,18,18,6,6,6,18,12,12,1,4,4,4,
8,4,4,12,12,8,1,3,1,3,3,3,1,6,3,3,9,9,3,3,9,3,3,3,3,3,9,9,3,3,3,9,3,3,9,3,9,3,
3,3,3,3,6,6,6,1,2,2,3,3,4,4,4,4,4,4,4,3,1,3,3,3,3,3,3,3,3,3,3,3,3,3,1,2,1,1,3,
1,3,1,2,4,3,1,1,1,1,1,1,1,1],[1,3,9,14,6,27,4,1,3,1,3,7,3,7,3,18,18,18,6,6,6,
9,27,27,27,9,18,18,6,6,4,8,12,8,12,3,6,2,9,9,7,3,3,6,6,6,6,9,3,9,9,3,9,3,9,9,
9,9,9,3,9,9,9,27,18,18,6,6,6,6,6,6,18,12,12,1,4,4,4,8,4,4,12,12,8,3,1,3,1,3,1,
3,6,3,3,3,9,3,3,3,3,3,3,3,3,9,9,3,3,3,3,3,3,9,3,9,3,9,9,9,3,6,6,6,1,2,2,3,3,4,
4,4,4,4,4,4,3,3,1,3,3,3,3,3,3,3,3,3,3,3,3,1,2,1,1,1,1,3,3,2,4,3,1,1,1,1,1,1,1,
1],[1,5,5,25,25,50,1,1,2,2,25,1,1,5,5,5,5,10,10,5,10,5,10,10,10,1,5,5,1,1,1,1,
1,1,1],[1,3,9,27,4,2,2,16,16,1,27,27,6,6,6,6,36,18,18,9,1,8,8,16,16,1,2,2,4,4,
18,18,18,18,1,3,3,24,24,9,6,6,4,1,2,2,3,3,4,4,4,1,6,6,1,1],[1,9,18,18,1,2,2,4,
4,9,27,27,6,6,6,6,6,6,9,18,18,12,12,27,1,2,2,4,4,9,9,9,18,18,1,2,2,6,6,6,6,6,
6,12,12,9,1,1,3,3,6,6,1,2,2,3,1,1,1,1],[1,3,9,24,27,1,2,2,4,4,18,36,27,54,1,6,
6,6,6,8,6,6,9,9,24,18,18,12,12,36,36,27,1,2,2,4,4,6,6,9,9,9,24,18,18,18,18,36,
36,1,3,3,2,2,2,8,2,4,6,6,6,6,6,6,12,12,12,9,18,1,4,3,2,6,6,6,6,6,6,6,6,6,12,1,
1,1,2,2,3,6,1,1,1,2,2,1],[1,9,6,6,1,2,2,4,4,9,9,9,6,6,6,6,2,2,9,6,6,12,12,9,1,
2,2,4,4,9,9,9,6,6,1,2,2,2,2,4,4,6,6,6,6,9,1,1,1,1,6,6,1,2,2,1,1,1,1,1],[1,9,
18,6,1,2,2,4,4,27,9,27,6,6,6,6,6,2,9,6,18,12,12,27,1,2,2,4,4,9,9,9,6,18,1,2,2,
2,6,4,6,6,6,6,12,9,1,3,1,3,6,6,1,2,2,3,1,1,1,1],[1,3,18,4,2,2,16,16,1,9,9,12,
6,6,6,18,24,9,1,8,8,16,16,1,2,2,4,4,3,3,9,9,3,4,6,12,24,3,3,6,9,4,1,2,2,4,4,3,
3,4,1,3,3,6,1,1],[1,9,6,18,1,2,2,4,4,9,27,27,6,6,6,6,2,6,9,18,6,12,12,27,1,2,
2,4,4,9,9,9,18,6,1,2,2,6,2,4,6,6,6,6,12,9,1,1,3,3,6,6,1,2,2,3,1,1,1,1],[1,3,
18,4,2,2,16,16,1,9,9,12,6,6,6,18,24,9,1,8,8,16,16,1,2,2,4,4,3,3,9,9,3,4,6,12,
24,3,3,6,9,4,1,2,2,4,4,3,3,4,1,3,3,6,1,1],[1,3,9,27,1,2,2,4,4,9,27,27,1,6,6,6,
6,9,9,18,18,36,36,27,1,2,2,4,4,9,9,9,18,18,1,3,3,2,2,6,6,6,6,12,12,9,1,1,3,3,
6,6,1,1,1,3,1,1,1,1],[1,3,9,24,27,1,2,2,4,4,18,36,27,54,1,6,6,6,6,8,6,6,9,9,
24,18,18,12,12,36,36,27,1,2,2,4,4,6,6,9,9,9,24,18,18,18,18,36,36,1,3,3,2,2,2,
8,2,4,6,6,6,6,6,6,12,12,12,9,18,1,4,3,2,6,6,6,6,6,6,6,6,6,12,1,1,1,2,2,3,6,1,
1,1,2,2,1],[1,15,3,45,10,5,1,30,45,45,45,6,10,30,30,15,15,45,6,18,18,5,10,30,
30,5,6,18,18,10,15,6,5,1,3,1],[1,15,3,45,10,5,1,30,45,45,45,6,10,30,30,15,15,
45,6,18,18,5,10,30,30,5,6,18,18,10,15,6,5,1,3,1],[1,3,15,45,10,1,5,30,45,45,
45,6,10,30,30,15,15,45,6,18,18,5,10,30,30,5,6,18,18,15,10,6,5,1,3,1],[1,3,15,
45,10,1,5,30,45,45,45,6,10,30,30,15,15,45,6,18,18,5,10,30,30,5,6,18,18,15,10,
6,5,1,3,1],[1,15,1,10,10,15,10,5,15,15,15,15,10,15,15,30,6,10,10,10,10,10,10,
10,5,15,15,15,15,15,15,6,6,6,5,10,10,10,10,10,10,10,15,6,6,6,5,5,5,10,6,5,1,1,
1,1,1],[1,15,1,20,15,10,5,30,30,10,15,15,30,6,10,20,20,10,10,5,30,15,15,30,6,
6,6,5,20,10,10,10,20,15,12,6,10,5,10,6,5,1,2,1,1],[1,15,1,15,10,5,1,15,15,15,
6,10,10,10,5,15,15,6,6,6,5,10,10,10,5,6,6,6,5,10,6,5,1,1,1],[1,15,1,15,10,5,
10,15,15,30,6,10,10,10,5,15,15,6,6,6,5,10,10,10,15,6,12,5,10,6,5,1,1,1],[1,15,
1,20,15,10,5,30,30,10,15,15,30,6,10,20,20,10,10,5,30,15,15,30,6,6,6,5,20,10,
10,10,20,15,12,6,10,5,10,6,5,1,2,1,1],[1,5,3,15,4,1,5,15,15,15,1,20,5,15,15,1,
3,3,1,20,4,5,3,1,1,3,3,5,4,1,3,3,5,1,4,1,1,1],[1,5,9,45,4,3,1,3,15,45,45,15,1,
4,20,20,3,15,5,15,15,15,15,1,9,9,1,20,4,15,1,3,3,9,3,9,3,1,5,5,4,4,4,3,1,3,3,
3,3,3,5,1,4,3,1,1,1,1],[1,5,9,45,4,1,3,3,15,45,15,45,1,4,20,20,3,5,15,15,15,
15,15,1,9,9,1,20,4,15,3,1,3,3,3,9,9,1,5,5,4,4,4,1,3,3,3,3,3,3,5,1,4,3,1,1,1,
1],[1,5,3,15,4,1,30,15,15,30,1,20,5,15,15,1,3,3,1,20,4,15,6,1,3,3,6,5,4,1,3,3,
5,1,4,3,1,1],[1,5,3,15,4,1,30,15,15,30,1,20,5,15,15,1,3,3,1,20,4,15,6,1,3,3,6,
5,4,1,3,3,5,1,4,3,1,1],[1,1,15,15,10,5,10,15,15,30,6,10,10,10,5,15,15,6,6,6,5,
10,10,10,15,6,12,5,10,6,5,1,1,1],[1,1,15,15,10,5,10,15,15,30,6,10,10,10,5,15,
15,6,6,6,5,10,10,10,15,6,12,5,10,6,5,1,1,1],[1,1,15,20,15,10,5,10,30,30,15,15,
30,6,10,20,10,20,10,5,30,15,15,30,6,6,6,5,10,20,10,10,20,15,12,6,10,5,10,6,5,
1,2,1,1],[1,5,3,15,4,1,15,5,15,15,1,20,5,15,15,1,3,3,1,20,4,5,1,3,1,3,3,5,4,1,
3,3,5,1,4,1,1,1],[1,1,15,20,15,10,5,10,30,30,15,15,30,6,10,20,10,20,10,5,30,
15,15,30,6,6,6,5,10,20,10,10,20,15,12,6,10,5,10,6,5,1,2,1,1],[1,3,5,15,4,1,30,
15,15,30,1,20,5,15,15,1,3,3,1,20,4,15,1,6,3,3,6,5,4,1,3,3,5,1,4,3,1,1],[1,3,3,
6,18,9,4,4,32,1,1,3,9,3,9,18,6,18,9,9,9,18,18,4,12,12,12,24,6,3,3,9,3,9,9,9,9,
9,9,9,18,18,16,1,1,4,4,8,8,12,12,12,12,24,1,3,3,9,9,9,9,16,3,1,6,4,3,3,12,3,4,
4,1,1,2,3,3,3,3,4,4,1,3,1,1],[1,3,9,27,4,4,32,1,1,3,3,6,18,9,27,27,9,27,4,12,
36,12,3,3,9,9,27,9,9,9,9,9,9,18,16,1,1,4,4,12,8,8,12,12,12,24,1,3,3,9,9,9,9,
16,1,9,3,3,4,12,3,4,4,1,1,3,2,3,3,3,4,4,1,3,1,1],[1,3,9,27,4,4,32,1,3,1,3,18,
6,9,27,27,27,9,4,12,36,12,3,9,9,3,9,9,9,9,9,9,27,18,16,1,1,4,12,4,8,8,12,12,
12,24,3,1,3,9,9,9,9,16,1,9,3,3,4,12,3,4,4,1,3,1,2,3,3,3,4,4,1,3,1,1],[1,3,3,
36,9,4,4,32,1,1,18,18,18,6,18,9,9,9,18,18,24,24,12,12,96,3,18,3,18,9,9,9,9,9,
18,18,36,16,1,1,4,4,8,12,8,12,12,12,24,1,9,9,9,9,9,9,16,6,6,3,3,12,12,24,24,
24,9,4,4,1,1,2,3,3,3,3,4,4,3,3,6,1,1],[1,3,3,36,9,4,4,32,1,1,18,18,6,18,18,9,
9,9,18,18,24,24,12,12,96,3,3,18,18,9,9,9,9,9,18,18,36,16,1,1,4,4,8,8,12,12,12,
12,24,1,9,9,9,9,9,9,16,6,6,3,3,12,12,24,24,24,9,4,4,1,1,2,3,3,3,3,4,4,3,3,6,1,
1],[1,3,3,18,6,9,4,4,32,1,1,9,3,9,3,18,6,18,9,9,9,18,18,12,4,12,12,24,6,3,3,9,
3,9,9,9,9,9,9,9,18,18,16,1,1,4,4,8,8,12,12,12,12,24,1,3,3,9,9,9,9,16,1,3,4,6,
3,3,12,3,4,4,1,1,2,3,3,3,3,4,4,1,3,1,1],[1,3,9,12,12,27,2,2,1,9,6,6,6,6,18,18,
27,27,27,18,18,6,6,4,4,6,6,12,12,18,18,9,6,6,18,9,9,9,27,9,27,18,18,18,1,2,2,
2,2,2,2,12,12,6,6,6,6,18,18,18,18,12,12,9,9,9,9,9,9,9,1,3,3,4,4,2,6,6,2,6,6,6,
6,6,6,6,6,6,6,9,1,1,2,2,3,3,3,2,2,2,2,2,2,6,6,1,2,1,3,1,1,1,3,2,2,2,2,2,1,1,1,
1,1,1,1,1],[1,3,9,12,28,27,1,4,8,1,3,3,21,9,36,12,36,12,9,27,9,27,54,18,54,1,
4,3,7,3,7,16,12,9,9,16,12,24,8,24,3,4,12,3,9,12,12,12,12,9,27,9,9,9,9,9,27,18,
18,54,18,18,18,4,1,1,7,3,3,2,12,9,3,3,9,9,3,9,9,9,3,3,3,9,9,3,16,12,18,12,6,
24,24,9,3,12,9,9,9,9,9,18,18,18,4,4,4,4,4,4,4,1,3,1,1,1,3,3,4,4,3,3,2,3,3,3,3,
3,3,3,3,3,3,3,3,3,9,3,3,9,3,3,3,9,9,3,3,3,3,3,3,3,12,6,6,9,1,4,4,4,4,4,4,4,4,
1,3,3,3,3,3,3,6,3,3,3,3,3,3,3,3,3,3,3,6,1,1,1,1,1,1,1,4,3,3,1,1,1,1,1,1,1,1],[
1,3,9,28,12,27,1,4,8,3,1,3,9,21,36,36,12,12,9,27,27,9,54,54,18,1,4,7,3,7,3,16,
12,9,9,16,12,8,24,24,3,12,4,9,3,12,12,12,12,27,9,9,9,9,9,9,27,54,18,18,18,18,
18,4,1,3,3,1,7,2,12,9,9,3,9,9,3,9,3,9,3,9,9,3,3,3,16,6,12,12,18,24,24,3,9,12,
9,9,9,9,9,18,18,18,4,4,4,4,4,4,4,1,1,3,3,4,3,1,4,1,3,3,2,3,3,3,3,3,3,9,3,3,9,
3,3,3,3,3,3,9,3,3,3,3,3,3,3,3,3,3,9,3,6,6,12,9,1,4,4,4,4,4,4,4,3,1,4,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,6,3,6,1,1,1,1,1,1,1,4,3,3,1,1,1,1,1,1,1,1],[1,15,10,5,6,
1,12,12,10,6,15,5,10,5,6,10,6,1,5,1],[1,15,10,5,1,6,12,12,10,6,15,5,10,5,6,10,
6,1,5,1],[1,15,10,5,1,6,12,12,10,6,15,5,10,5,6,10,6,1,5,1],[1,45,20,20,15,15,
45,36,60,60,45,10,36,15,15,10,15,15,10,6,6,1],[1,15,30,10,1,20,5,45,45,6,10,
30,30,10,15,60,45,10,6,5,5,30,10,15,15,6,10,10,10,18,15,15,30,6,5,10,1,6,5,3,
1,1],[1,15,30,10,1,20,5,45,45,6,10,30,30,10,15,60,45,10,6,5,5,30,10,15,15,6,
10,10,10,18,15,15,30,6,5,10,1,6,5,3,1,1],[1,5,9,45,2,2,30,45,1,6,6,10,10,30,
30,45,1,1,9,9,10,30,30,30,2,2,1,5,5,6,9,30,2,2,6,6,6,6,5,10,9,1,2,6,6,6,5,1,1,
1,6,1,2,1],[1,15,10,1,10,20,5,15,15,6,10,10,10,15,10,20,15,10,6,5,5,10,15,15,
10,6,10,10,10,6,5,15,6,5,10,1,6,5,1,1,1],[1,5,9,45,2,2,9,45,45,1,6,6,10,10,30,
30,45,1,1,9,9,30,30,2,2,1,5,5,9,9,9,2,2,6,6,6,6,1,5,5,9,1,6,6,5,1,1,1,1,1,1,
1],[1,15,3,45,10,1,20,5,45,45,6,10,1,15,30,30,15,60,15,10,6,18,18,5,5,10,30,
15,15,6,10,10,10,18,15,5,6,6,6,5,10,1,6,5,3,1,1],[1,3,15,45,1,10,20,5,45,45,6,
1,10,30,15,15,30,60,15,10,6,18,18,5,5,10,15,15,30,6,10,10,10,18,5,15,6,6,6,5,
10,1,6,5,3,1,1],[1,15,10,10,1,20,5,15,15,6,10,10,10,15,10,20,15,10,6,5,5,10,
10,15,15,6,10,10,10,6,5,15,6,5,10,1,6,5,1,1,1],[1,15,3,45,10,1,20,5,45,45,6,
10,1,15,30,30,15,60,15,10,6,18,18,5,5,10,30,15,15,6,10,10,10,18,15,5,6,6,6,5,
10,1,6,5,3,1,1],[1,15,30,1,10,20,5,45,45,6,10,10,30,15,30,60,45,10,6,5,5,10,
15,15,30,6,10,10,10,18,15,15,30,6,5,10,1,6,5,3,1,1],[1,5,9,45,2,2,30,45,1,6,6,
10,10,30,30,45,1,1,9,9,10,30,30,30,2,2,1,5,5,6,9,30,2,2,6,6,6,6,5,10,9,1,2,6,
6,6,5,1,1,1,6,1,2,1],[1,15,10,1,10,20,5,15,15,6,10,10,10,15,10,20,15,10,6,5,5,
10,15,15,10,6,10,10,10,6,5,15,6,5,10,1,6,5,1,1,1],[1,15,10,10,1,20,5,15,15,6,
10,10,10,15,10,20,15,10,6,5,5,10,10,15,15,6,10,10,10,6,5,15,6,5,10,1,6,5,1,1,
1],[1,3,15,45,1,10,20,5,45,45,6,1,10,30,15,15,30,60,15,10,6,18,18,5,5,10,15,
15,30,6,10,10,10,18,5,15,6,6,6,5,10,1,6,5,3,1,1],[1,15,30,1,10,20,5,45,45,6,
10,10,30,15,30,60,45,10,6,5,5,10,15,15,30,6,10,10,10,18,15,15,30,6,5,10,1,6,5,
3,1,1],[1,3,9,36,27,4,2,2,16,16,1,18,18,54,27,27,54,6,6,24,12,6,6,36,36,18,18,
48,9,18,27,27,54,1,8,8,16,16,1,2,2,4,4,6,6,36,36,18,18,18,18,18,18,36,27,1,3,
3,8,12,24,24,24,48,6,9,6,6,6,12,18,18,18,18,18,4,1,2,2,6,3,3,4,4,6,6,6,24,9,
18,4,8,1,2,3,3,6,6,6,6,6,12,1,4,3,6,1,2,1],[1,3,9,27,4,2,2,16,16,1,9,27,27,27,
6,6,6,6,36,18,18,9,27,27,1,8,8,16,16,1,2,2,4,4,36,18,18,18,18,9,1,3,3,24,24,9,
6,6,4,1,1,2,2,3,3,3,4,4,9,4,1,3,3,6,6,1,4,1,1,1],[1,3,9,36,27,4,2,2,16,16,1,
18,18,54,27,27,54,6,6,24,12,6,6,36,36,18,18,48,9,18,27,27,54,1,8,8,16,16,1,2,
2,4,4,6,6,36,36,18,18,18,18,18,18,36,27,1,3,3,8,12,24,24,24,48,6,9,6,6,6,12,
18,18,18,18,18,4,1,2,6,2,3,3,4,4,6,6,6,24,9,18,4,8,1,2,3,3,6,6,6,6,6,12,1,4,3,
6,1,2,1],[1,3,9,24,24,27,1,2,2,4,4,9,18,18,36,36,27,27,54,54,1,6,6,6,6,6,6,8,
8,6,6,9,9,24,24,18,18,12,12,12,12,36,36,36,27,27,27,54,1,2,2,4,4,6,6,6,6,9,9,
9,9,9,9,9,24,24,18,18,18,18,18,18,36,36,36,36,27,1,3,3,2,2,2,2,2,8,8,2,4,4,6,
6,6,6,6,6,6,6,12,12,12,12,9,9,9,9,9,9,9,18,18,1,1,4,4,3,3,2,2,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,12,12,9,1,1,1,2,2,2,2,4,3,3,3,6,6,6,1,1,1,1,1,1,1,2,2,2,2,3,1,
1,1,1,1,1,1,1],[1,15,3,30,10,45,10,5,1,45,15,45,15,30,30,30,45,45,45,90,90,6,
10,30,10,30,10,30,30,10,15,15,45,15,45,45,45,45,45,45,45,90,90,6,18,18,5,10,
10,30,30,30,30,30,30,30,30,30,60,5,15,15,45,45,45,45,6,18,6,18,18,5,15,10,10,
10,15,30,30,30,30,15,6,18,18,5,10,15,15,1,6,5,3,1,3,1,3,3,1],[1,15,3,10,30,45,
10,5,1,15,45,15,45,30,30,30,45,45,45,90,90,6,10,10,30,10,30,30,30,10,15,15,45,
15,45,45,45,45,45,45,45,90,90,6,18,18,5,30,10,10,30,30,30,30,30,30,30,30,60,5,
15,15,45,45,45,45,18,6,6,18,18,15,5,10,10,10,15,30,30,30,30,15,6,18,18,5,10,
15,15,1,6,5,1,3,3,1,3,3,1],[1,15,1,10,10,15,10,5,1,15,15,15,15,10,10,15,15,15,
30,30,6,10,10,10,10,10,10,10,5,15,15,10,15,15,15,15,15,15,15,15,30,6,6,6,5,10,
10,10,10,10,10,10,10,10,10,10,5,15,15,15,15,15,15,6,6,6,6,6,12,5,5,5,10,10,10,
10,10,10,10,15,6,6,6,5,5,5,10,1,6,5,1,1,1,1,1,1,1],[1,15,3,20,45,10,5,1,30,30,
10,30,10,45,45,45,30,30,6,10,20,20,30,30,15,30,15,10,15,45,15,15,15,30,30,60,
6,18,18,5,10,20,10,30,30,10,10,10,20,5,15,15,15,15,15,15,12,6,18,18,12,10,10,
15,10,10,10,10,10,10,15,6,6,6,5,5,5,10,1,6,5,2,3,1,1,1,1],[1,15,1,20,20,15,10,
5,1,30,30,30,30,10,10,15,15,15,30,30,6,10,20,20,20,20,10,10,5,30,30,10,15,15,
15,15,15,15,30,30,30,6,6,6,5,20,20,10,10,10,10,10,10,10,20,20,5,15,15,15,15,
15,15,12,12,6,6,6,10,10,5,10,10,10,10,10,10,10,15,6,6,6,5,5,5,10,1,6,5,2,2,1,
1,1,1,1],[1,15,5,75,10,5,1,1,1,30,30,15,75,75,45,45,6,10,50,50,1,15,25,15,45,
15,15,15,15,15,45,30,6,30,30,5,10,10,30,10,30,50,10,5,5,5,15,15,15,15,6,6,6,
18,6,30,18,10,10,25,10,10,10,10,10,5,6,6,6,6,6,6,6,5,5,5,10,1,6,5,5,1,1,1,1],[
1,15,3,20,45,10,5,1,30,30,30,10,10,45,45,45,30,30,6,10,20,20,30,30,15,15,30,
10,15,15,15,15,45,30,30,60,6,18,18,5,10,20,30,10,30,10,10,10,20,5,15,15,15,15,
15,15,12,6,18,18,12,10,10,15,10,10,10,10,10,10,15,6,6,6,5,5,5,10,1,6,5,2,3,1,
1,1,1],[1,5,9,45,4,1,3,3,15,35,15,45,15,45,30,1,4,20,20,3,5,15,45,15,15,15,15,
15,15,45,1,9,9,1,20,20,20,4,5,15,15,15,15,15,15,7,3,3,1,3,3,3,9,9,6,1,5,5,20,
4,4,4,15,1,3,3,3,3,9,3,9,3,3,3,5,5,5,1,4,4,4,3,1,3,3,3,3,3,5,1,1,1,4,3,1,1,1,
1],[1,5,9,45,4,3,1,3,35,15,15,45,45,15,30,1,4,20,20,3,15,5,15,15,15,15,15,45,
15,45,1,9,9,1,20,20,20,4,15,5,15,15,15,15,15,3,7,1,3,3,9,3,9,3,6,1,5,5,20,4,4,
4,15,3,1,3,9,3,9,3,3,3,3,3,5,5,5,1,4,4,4,1,3,3,3,3,3,3,5,1,1,1,4,3,1,1,1,1],[
1,3,15,20,45,10,1,5,10,10,30,30,30,45,45,45,30,30,6,10,20,30,20,30,15,15,10,
30,15,15,15,15,45,30,30,60,6,18,18,5,10,10,10,20,10,10,30,30,20,5,15,15,15,15,
15,15,6,12,18,18,12,10,15,10,10,10,10,10,10,10,15,6,6,6,5,5,5,10,1,6,5,2,3,1,
1,1,1],[1,3,15,20,45,10,1,5,10,10,30,30,30,45,45,45,30,30,6,10,20,30,20,30,15,
10,15,30,15,45,15,15,15,30,30,60,6,18,18,5,10,10,10,20,10,10,30,30,20,5,15,15,
15,15,15,15,6,12,18,18,12,10,15,10,10,10,10,10,10,10,15,6,6,6,5,5,5,10,1,6,5,
2,3,1,1,1,1],[1,15,10,2,2,40,40,5,6,10,30,30,1,20,20,40,40,6,5,10,10,20,20,12,
12,15,20,20,10,12,12,5,10,10,20,20,6,10,1,6,5,2,2,1],[1,3,9,42,18,27,4,4,32,1,
3,1,3,21,9,21,9,54,18,54,6,18,18,9,27,27,27,9,54,54,18,18,4,28,12,24,12,36,24,
12,96,3,18,6,9,9,21,9,3,18,18,18,18,27,9,27,9,9,9,9,9,9,27,9,27,9,9,27,27,27,
54,54,18,18,18,18,18,18,18,36,36,16,1,1,4,12,4,8,12,8,12,36,12,36,12,12,24,12,
12,12,12,24,24,3,1,9,3,3,3,9,18,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,27,9,
9,9,27,27,27,9,18,18,18,16,16,16,1,3,7,12,6,6,4,9,3,3,4,12,12,12,12,12,12,24,
24,12,12,12,12,12,24,3,9,3,9,9,9,9,9,9,9,9,9,9,9,9,4,4,16,1,3,1,6,2,9,9,3,3,3,
3,3,3,3,3,3,12,6,12,9,4,4,4,4,4,4,3,1,1,3,3,3,3,3,3,3,3,3,3,3,6,1,4,4,3,3,1,1,
1,1],[1,3,9,18,42,27,4,4,32,1,1,3,3,9,21,9,21,54,6,18,18,54,18,9,27,27,9,27,
54,18,54,18,4,12,28,24,12,36,24,12,96,3,6,18,3,9,9,21,9,18,18,18,18,9,27,27,
27,27,9,9,9,9,27,9,9,9,9,27,27,9,18,18,18,54,54,18,18,18,18,36,36,16,1,1,4,4,
12,8,8,12,12,36,12,12,36,12,24,12,12,12,12,24,24,1,3,3,9,3,9,3,18,9,9,27,9,9,
9,27,9,9,9,9,9,9,9,9,9,9,27,9,9,27,9,9,9,9,9,9,9,18,18,18,16,16,16,1,7,3,4,12,
6,6,9,3,3,12,4,12,12,12,12,12,24,12,12,12,12,12,24,24,3,3,9,9,9,9,9,9,9,9,9,9,
9,9,9,4,4,16,1,1,3,2,6,9,3,3,3,3,3,3,9,3,3,3,6,12,12,9,4,4,4,4,4,4,1,1,3,3,3,
3,3,3,3,3,3,3,3,3,6,1,4,4,3,3,1,1,1,1],[1,5,15,75,10,5,75,75,1,6,12,12,10,50,
50,25,1,6,15,15,30,30,60,60,5,50,10,5,15,15,30,25,6,10,10,10,5,6,6,6,1,5,10,6,
5,5,1,1],[1,5,15,75,10,5,75,75,1,6,12,12,10,50,50,25,1,6,15,15,30,30,60,60,5,
50,10,5,15,15,30,25,6,10,10,10,5,6,6,6,1,5,10,6,5,5,1,1],[1,15,5,75,10,5,75,
75,6,1,12,12,10,50,50,25,6,1,30,30,15,15,60,60,5,50,10,5,30,15,15,25,6,10,10,
10,5,6,6,6,1,5,10,6,5,5,1,1],[1,45,15,15,20,20,15,15,45,45,45,45,45,36,60,60,
20,20,60,60,45,15,15,45,45,45,45,10,36,15,15,60,60,45,10,20,20,36,15,15,15,15,
15,15,10,10,10,15,15,6,6,10,6,6,1,1],[1,15,3,45,10,4,80,5,1,30,45,45,45,6,10,
60,30,30,15,15,45,40,6,18,18,5,1,20,10,40,20,30,30,120,24,5,40,6,18,18,10,15,
15,24,20,10,6,5,5,10,1,6,10,3,6,5,4,1,1],[1,1,45,45,20,20,15,15,45,45,45,45,
45,36,60,60,20,20,60,60,45,15,15,45,45,45,45,10,36,36,36,15,15,60,60,45,10,10,
10,36,15,15,15,15,15,15,10,10,10,15,15,6,6,10,6,6,1,1],[1,15,3,45,10,4,80,5,1,
30,45,45,45,6,10,60,30,30,15,15,45,40,6,18,18,5,1,20,10,40,20,30,30,120,24,5,
40,6,18,18,10,15,15,24,20,10,6,5,5,10,1,6,10,3,6,5,4,1,1],[1,3,15,45,4,10,80,
1,5,30,45,45,45,6,10,30,60,30,15,15,45,40,6,18,18,1,5,10,20,20,40,30,30,120,
24,5,40,6,18,18,15,15,10,24,10,20,6,5,5,10,1,6,10,3,6,5,4,1,1],[1,3,15,45,4,
10,80,1,5,30,45,45,45,6,10,30,60,30,15,15,45,40,6,18,18,1,5,10,20,20,40,30,30,
120,24,5,40,6,18,18,15,15,10,24,10,20,6,5,5,10,1,6,10,3,6,5,4,1,1],[1,15,3,40,
45,10,1,20,5,60,60,30,45,45,90,6,10,1,40,40,10,15,30,30,10,15,20,60,60,15,60,
45,45,90,10,6,18,18,5,5,40,10,15,15,30,30,30,10,15,15,15,15,60,30,60,6,45,10,
10,10,10,10,10,10,24,18,20,15,5,15,30,30,15,15,15,15,15,6,6,6,5,10,10,10,10,
10,10,10,18,15,15,1,6,6,6,5,5,5,10,4,3,6,5,1,3,1,1,1,1],[1,3,15,40,45,1,10,20,
5,30,60,60,45,45,90,6,1,10,10,10,40,30,15,15,40,30,20,60,60,15,60,45,45,90,10,
6,18,18,5,5,10,10,30,15,15,15,15,15,15,40,30,30,30,60,60,6,45,10,10,10,10,10,
10,10,24,18,5,20,15,15,15,15,15,15,15,30,30,6,6,6,5,10,10,10,10,10,10,10,18,
15,15,1,6,6,6,5,5,5,10,4,3,6,5,1,3,1,1,1,1],[1,3,15,40,45,1,10,20,5,30,60,60,
45,45,90,6,1,10,10,10,40,30,15,15,40,30,60,20,60,15,60,45,45,90,10,6,18,18,5,
5,10,10,30,15,15,15,15,15,15,40,30,30,30,60,60,6,45,10,10,10,10,10,10,10,24,
18,5,20,15,15,15,15,15,15,15,30,30,6,6,6,5,10,10,10,10,10,10,10,18,15,15,1,6,
6,6,5,5,5,10,4,3,6,5,1,3,1,1,1,1],[1,5,9,45,2,2,9,30,30,45,45,1,6,6,10,10,30,
30,45,45,45,1,1,9,9,10,10,30,30,30,30,2,2,45,1,5,5,6,6,9,9,9,30,30,2,2,6,6,6,
6,1,5,5,10,10,9,9,9,1,2,2,6,6,6,6,5,5,5,9,1,1,1,6,6,5,1,1,1,2,2,1,1,1,1],[1,
15,3,40,45,10,1,20,5,60,60,30,45,45,90,6,10,1,40,40,10,15,30,30,10,15,60,20,
60,15,60,45,45,90,10,6,18,18,5,5,40,10,15,15,30,30,30,10,15,15,60,15,15,30,60,
6,45,10,10,10,10,10,10,10,24,18,20,15,15,5,30,30,15,15,15,15,15,6,6,6,5,10,10,
10,10,10,10,10,18,15,15,1,6,6,6,5,5,5,10,4,3,6,5,1,3,1,1,1,1],[1,3,9,36,36,27,
4,2,2,16,16,1,9,18,18,18,18,54,54,27,27,27,54,54,6,6,24,24,12,12,6,6,36,36,36,
18,18,48,48,9,18,18,54,27,27,27,27,27,27,54,54,54,1,8,8,16,16,1,2,2,4,4,6,6,6,
6,36,36,36,36,36,18,18,18,18,18,18,18,18,36,36,9,27,27,27,27,27,27,1,3,3,8,8,
12,12,24,24,24,24,48,48,6,6,9,6,6,6,6,36,12,12,18,18,18,18,18,18,18,18,18,18,
4,27,1,1,2,6,2,6,3,3,3,4,4,6,6,6,6,6,6,24,24,9,9,9,18,18,4,8,8,1,6,2,2,3,3,3,
3,3,3,6,6,6,6,6,6,6,6,6,12,12,9,1,4,4,4,1,3,3,3,3,3,3,6,6,1,4,2,2,3,1,1,1,1],[
1,15,5,30,30,75,10,5,1,1,1,45,45,45,45,50,30,30,30,30,10,15,75,75,45,45,150,
90,90,30,6,10,30,30,30,30,50,50,1,10,10,15,25,45,45,15,10,10,10,10,45,45,75,
45,45,15,15,15,15,75,15,45,15,15,75,75,45,90,90,30,90,90,30,30,30,30,60,60,6,
30,30,5,10,30,10,30,50,30,10,50,50,10,50,30,50,10,30,30,30,30,10,60,60,5,5,15,
15,5,15,15,10,15,15,45,15,15,15,45,15,15,15,15,15,15,15,15,15,15,45,15,15,75,
15,15,15,45,45,45,15,30,30,30,18,18,6,6,6,18,6,30,18,12,15,15,10,10,10,10,10,
10,25,10,10,10,10,10,10,30,10,10,30,10,10,10,30,10,10,50,10,10,10,30,30,10,10,
10,10,10,30,10,5,15,15,15,15,15,15,15,15,15,15,15,15,15,15,6,6,6,18,6,30,6,18,
6,6,6,5,5,10,10,25,15,5,15,5,10,10,10,10,10,10,10,10,10,10,10,10,10,1,15,6,6,
6,6,6,6,6,5,5,5,5,5,5,5,10,3,3,5,6,5,1,1,5,3,1,1,3,1,1,1,1,1,1,1,1],[1,45,1,
20,20,40,40,15,15,45,36,60,60,45,45,10,20,20,40,40,36,15,15,15,15,30,30,45,36,
10,60,60,15,15,45,10,36,10,15,15,10,6,6,15,15,10,6,6,1,1],[1,15,9,135,10,2,2,
40,40,5,135,135,6,10,6,6,30,30,90,90,90,90,360,360,45,1,20,20,40,40,6,54,54,5,
10,10,20,20,90,90,90,90,90,12,12,1,15,15,20,20,60,60,60,60,120,120,54,45,30,
30,10,12,12,36,36,36,36,5,10,10,15,15,20,20,60,60,6,10,10,10,1,36,36,5,30,30,
6,6,6,5,10,9,2,2,6,5,6,6,1,1],[1,15,30,10,2,2,40,40,5,45,45,6,10,30,30,10,30,
30,30,60,60,45,1,20,20,40,40,6,5,10,10,30,20,20,15,15,45,45,12,12,15,20,10,10,
10,20,20,30,30,60,18,15,15,30,45,10,12,12,5,10,10,20,20,10,15,15,30,6,10,10,
10,1,6,18,5,15,15,30,6,5,10,3,2,2,6,5,1,3,1,1],[1,15,30,10,2,2,40,40,5,45,45,
6,10,30,30,10,30,30,30,60,60,45,1,20,20,40,40,6,5,10,10,30,20,20,15,15,45,45,
12,12,15,10,20,10,10,20,20,30,30,60,18,15,15,30,45,10,12,12,5,10,10,10,20,20,
15,15,30,6,10,10,10,1,6,18,5,15,15,30,6,5,10,3,2,2,6,5,1,3,1,1],[1,15,5,75,10,
5,50,75,75,150,6,1,12,12,10,50,50,25,75,75,6,1,30,30,15,15,60,60,5,50,50,50,
10,75,5,30,10,60,15,15,30,60,60,25,50,6,10,10,10,5,30,15,15,25,6,6,6,1,5,10,
10,10,15,6,6,6,5,5,10,6,5,5,1,1,1],[1,5,15,75,10,5,50,75,75,150,1,6,12,12,10,
50,50,25,75,75,1,6,15,15,30,30,60,60,5,50,50,50,10,75,10,5,15,15,30,30,60,60,
60,25,50,6,10,10,10,5,15,15,30,25,6,6,6,1,5,10,10,10,15,6,6,6,5,5,10,6,5,5,1,
1,1],[1,5,15,75,10,5,50,75,75,150,1,6,12,12,10,50,50,25,75,75,1,6,15,15,30,30,
60,60,5,50,50,50,10,75,10,5,15,15,30,30,60,60,60,25,50,6,10,10,10,5,15,15,30,
25,6,6,6,1,5,10,10,10,15,6,6,6,5,5,10,6,5,5,1,1,1],[1,3,45,135,20,20,1,15,15,
45,90,90,135,135,135,135,135,36,60,60,60,60,180,180,45,45,45,45,135,135,135,
135,135,135,135,270,10,36,108,108,15,15,20,20,180,180,180,180,15,15,45,135,
135,135,135,10,30,30,36,108,108,15,15,45,45,45,45,60,60,45,10,10,30,30,30,36,
15,15,45,45,45,45,6,6,10,30,30,15,15,18,18,10,6,6,1,3,1],[1,15,9,135,10,4,80,
5,3,1,3,90,30,45,135,135,135,45,6,10,4,60,90,90,60,240,3,45,45,15,45,45,45,45,
45,45,135,90,40,6,54,54,5,1,20,30,10,40,20,90,30,30,90,30,60,60,120,24,15,5,
15,45,45,45,45,40,40,40,6,18,18,54,18,54,18,1,10,30,45,15,15,20,30,30,30,30,
30,60,24,24,24,15,20,10,40,18,6,18,18,18,18,18,5,15,5,10,15,15,15,30,1,6,24,
10,10,10,20,18,5,15,9,6,6,6,5,10,4,1,3,3,6,5,4,3,1,1],[1,1,45,45,20,20,15,15,
45,15,15,45,45,45,45,90,36,60,60,20,20,60,60,45,15,15,45,45,45,45,45,45,45,45,
10,36,36,36,15,15,20,20,60,60,60,60,15,15,45,45,45,45,45,10,10,10,36,72,15,15,
15,15,15,15,60,60,45,10,10,10,20,20,36,15,15,15,15,15,15,6,6,10,10,10,15,15,6,
6,10,6,6,1,1,1],[1,15,3,30,10,45,10,4,80,5,1,45,15,45,15,30,30,30,45,45,45,90,
90,6,10,30,10,30,10,60,30,30,40,80,10,15,15,45,15,45,45,45,45,45,45,45,90,90,
40,6,18,18,5,1,20,10,10,30,40,20,30,30,30,30,30,30,30,30,60,60,60,120,24,5,15,
15,45,45,45,45,40,40,40,6,18,6,18,18,5,15,10,10,10,10,15,15,20,30,30,30,30,60,
24,15,20,10,40,6,18,18,5,5,10,10,15,15,15,15,1,6,24,10,10,10,20,6,5,15,3,1,3,
6,5,10,4,1,3,3,6,5,4,1,1,1],[1,15,3,60,45,10,4,80,5,1,90,90,30,30,30,45,45,45,
90,90,6,10,60,60,40,60,30,30,240,15,90,15,30,45,45,45,45,45,90,90,180,40,6,18,
18,5,1,20,10,60,40,60,20,60,30,30,30,30,30,30,60,120,24,5,45,45,45,45,45,45,
40,40,40,36,6,18,18,36,30,10,10,15,15,60,30,30,30,30,30,30,120,60,120,24,45,
20,10,40,6,18,18,5,5,10,15,15,15,15,30,1,6,24,20,10,10,10,18,15,15,30,6,3,6,5,
10,4,1,3,3,6,5,4,3,1,1],[1,15,3,60,45,10,4,80,5,1,90,90,30,30,30,45,45,45,90,
90,6,10,60,60,40,60,30,30,240,15,15,90,30,45,45,45,45,45,90,90,180,40,6,18,18,
5,1,20,10,60,40,20,60,60,30,30,30,30,30,30,60,120,24,5,45,45,45,45,45,45,40,
40,40,36,6,18,18,36,30,10,10,15,15,60,30,30,30,30,30,30,120,60,120,24,45,20,
10,40,6,18,18,5,5,10,15,15,15,15,30,1,6,24,20,10,10,10,18,15,15,30,6,3,6,5,10,
4,1,3,3,6,5,4,3,1,1],[1,15,3,10,30,45,10,4,80,5,1,15,45,15,45,30,30,30,45,45,
45,90,90,6,10,10,30,10,30,60,30,30,40,80,10,15,15,45,15,45,45,45,45,45,45,45,
90,90,40,6,18,18,5,1,20,30,10,10,40,20,30,30,30,30,30,30,30,30,60,60,60,120,
24,5,15,15,45,45,45,45,40,40,40,18,6,6,18,18,15,5,10,10,10,10,15,15,20,30,30,
30,30,60,24,15,20,10,40,6,18,18,5,5,10,10,15,15,15,15,1,6,24,10,10,10,20,6,5,
15,1,3,3,6,5,10,4,1,3,3,6,5,4,1,1,1],[1,1,45,30,30,45,20,20,15,15,45,15,15,90,
90,90,90,45,45,45,45,90,90,90,36,60,60,40,40,20,20,120,120,60,60,45,30,30,15,
15,90,90,90,90,45,45,45,45,45,45,45,45,90,90,90,90,90,90,10,36,36,36,15,15,20,
20,120,120,60,60,60,60,120,120,15,15,90,45,45,45,45,45,90,90,90,10,10,10,40,
40,72,36,15,15,30,30,30,30,15,15,15,15,60,60,45,10,20,20,10,10,20,20,20,20,36,
30,30,15,15,15,15,15,15,30,30,6,6,20,10,10,10,20,15,15,12,12,6,6,10,6,6,1,2,1,
1],[1,15,9,135,10,4,80,5,1,3,3,30,90,45,135,135,45,135,6,10,4,60,90,90,60,240,
3,15,45,45,135,45,45,45,45,45,45,90,40,6,54,54,5,1,20,10,30,40,20,30,30,90,90,
30,60,60,120,24,5,15,15,45,45,45,45,40,40,40,18,6,18,18,18,54,54,1,30,10,45,
15,15,20,30,30,30,30,30,60,24,24,24,15,20,10,40,6,18,18,18,18,18,18,5,5,15,10,
15,15,15,30,1,6,24,10,10,10,20,18,5,15,9,6,6,6,5,10,4,3,1,3,6,5,4,3,1,1],[1,3,
15,60,45,4,10,80,1,5,30,30,30,90,90,45,45,45,90,90,6,10,40,60,30,60,60,30,240,
15,15,30,90,45,45,45,45,45,90,90,180,40,6,18,18,1,5,10,20,20,40,30,30,60,60,
60,30,30,30,30,60,120,24,5,45,45,45,45,45,45,40,40,40,6,36,18,18,36,10,30,15,
15,30,10,60,60,30,30,30,30,30,120,120,24,45,10,20,40,6,18,18,5,5,10,15,15,15,
15,30,1,6,24,10,20,10,10,18,15,15,30,6,3,6,5,10,4,1,3,3,6,5,4,3,1,1],[1,3,15,
60,45,4,10,80,1,5,30,30,90,30,90,45,45,45,90,90,6,10,40,60,30,60,60,30,240,15,
30,15,90,45,45,45,45,45,90,90,180,40,6,18,18,1,5,10,20,20,30,40,30,60,60,60,
30,30,30,30,120,60,24,5,45,45,45,45,45,45,40,40,40,6,36,18,18,36,10,30,15,15,
10,30,60,60,120,30,30,30,30,30,120,24,45,10,20,40,6,18,18,5,5,10,15,15,15,15,
30,1,6,24,10,20,10,10,18,15,15,30,6,3,6,5,10,4,1,3,3,6,5,4,3,1,1],[1,45,20,20,
15,15,45,1,36,72,72,60,60,45,10,36,45,15,15,20,20,10,15,15,45,15,15,36,60,60,
10,45,10,36,6,6,15,15,10,15,15,10,6,6,1,1],[1,15,9,60,135,10,2,2,40,40,5,90,
90,90,135,135,270,6,10,6,6,60,60,20,30,30,90,90,60,90,90,120,120,360,360,45,
90,135,135,270,1,20,20,40,40,6,54,54,5,10,10,60,20,20,30,30,90,90,90,60,90,90,
90,90,90,90,180,180,360,12,12,135,1,15,15,20,20,20,20,20,40,60,60,60,60,60,60,
120,120,120,36,54,30,45,30,30,30,90,60,90,90,90,90,90,10,12,12,36,36,36,36,5,
10,10,10,15,15,20,20,20,30,30,30,60,60,60,60,60,60,60,120,54,6,45,90,10,10,10,
20,20,1,12,36,36,36,5,10,15,15,30,30,30,30,30,60,60,6,6,6,5,10,10,10,20,20,6,
9,36,15,30,2,2,6,12,5,10,10,9,2,6,6,6,6,5,1,6,1,2,1],[1,45,15,15,1,20,20,40,
40,15,15,45,45,45,45,45,36,60,60,15,15,20,20,45,60,60,120,120,45,15,15,45,45,
45,45,10,20,20,40,40,36,15,15,15,15,30,30,45,45,45,45,45,60,60,36,45,10,20,20,
20,20,40,40,60,60,60,60,36,15,15,15,15,15,15,15,15,30,30,45,45,45,45,45,10,36,
10,10,10,15,15,60,60,15,15,45,10,20,20,6,6,36,10,15,15,15,15,15,15,10,10,10,6,
6,15,15,6,6,10,1,6,6,1,1,1],[1,45,45,45,1,20,20,40,40,15,15,45,135,135,135,
135,36,60,60,15,15,60,60,45,180,180,120,120,45,45,45,135,135,135,135,10,20,20,
40,40,36,15,15,15,15,30,30,45,45,45,45,45,180,180,36,135,10,20,20,60,60,60,60,
60,60,120,120,108,15,15,15,45,45,15,45,45,45,45,45,45,45,90,90,10,36,10,30,30,
15,15,60,60,45,45,45,10,20,20,6,6,36,30,15,15,15,15,15,15,10,10,10,18,18,15,
15,6,6,10,1,6,6,3,1,1],[1,3,45,135,1,20,20,40,40,15,15,45,135,135,135,135,36,
1,60,60,60,60,45,45,180,180,360,360,45,45,45,135,135,135,135,10,20,20,40,40,
36,108,108,15,15,15,15,30,30,45,45,45,45,45,180,180,36,135,10,30,30,20,20,60,
60,60,60,120,120,108,15,15,15,15,45,45,45,45,45,45,45,45,45,90,90,10,36,36,36,
10,30,15,30,15,60,60,45,45,45,10,10,10,6,6,36,15,15,15,15,30,15,15,10,10,10,
18,18,15,15,6,6,10,1,6,6,3,1,1],[1,15,9,60,135,10,2,2,40,40,5,90,90,90,135,
135,270,6,10,6,6,60,60,20,30,30,90,90,60,90,90,120,120,360,360,45,90,135,135,
270,1,20,20,40,40,6,54,54,5,10,10,60,20,20,30,30,90,90,90,60,90,90,180,90,90,
90,90,180,360,12,12,135,1,15,15,20,20,20,20,20,40,60,60,60,60,60,60,120,120,
120,36,54,30,45,30,30,30,90,60,90,90,90,90,90,10,12,12,36,36,36,36,5,10,10,10,
15,15,20,20,20,30,30,30,60,60,60,60,60,60,60,120,54,6,45,90,10,10,10,20,20,1,
12,36,36,36,5,10,15,15,30,30,30,30,30,60,60,6,6,6,5,10,10,10,20,20,6,9,36,15,
30,2,2,6,12,5,10,10,9,2,6,6,6,6,5,1,6,1,2,1],[1,15,9,135,10,2,2,40,40,5,9,135,
135,135,6,10,6,6,30,30,90,90,90,90,360,360,45,135,135,1,20,20,40,40,6,54,54,5,
10,10,20,20,90,90,90,90,90,90,90,12,12,45,1,15,15,20,20,60,60,60,60,120,120,
54,54,54,45,30,30,90,10,12,12,36,36,36,36,1,5,10,10,15,15,15,20,20,60,60,54,6,
45,10,10,10,1,36,36,5,15,15,30,30,6,6,6,5,10,10,10,9,5,2,2,6,6,6,5,10,9,6,6,6,
5,1,1,1],[1,15,9,30,70,135,10,4,80,5,1,3,3,45,105,45,105,90,30,30,90,90,30,45,
135,135,45,135,270,90,270,90,6,10,4,30,70,30,70,40,60,90,90,40,60,240,80,240,
3,10,30,15,45,45,105,45,30,30,30,30,45,135,135,135,135,45,45,45,45,135,45,45,
45,45,135,135,45,90,90,90,270,270,90,90,90,90,180,180,40,6,54,54,5,1,20,10,70,
30,30,40,20,60,60,90,30,30,90,90,30,90,90,90,30,30,30,90,90,30,40,60,60,180,
60,60,60,120,120,240,24,5,15,15,45,15,45,15,30,45,45,135,45,45,45,135,45,45,
45,45,45,45,45,45,45,45,135,45,45,135,45,45,45,45,45,45,45,90,90,90,40,40,40,
40,40,40,40,42,18,18,6,18,18,18,54,54,36,1,35,15,30,10,10,10,30,30,10,10,45,
15,15,60,20,20,30,30,30,30,30,30,30,30,30,30,30,30,30,90,30,30,90,30,30,30,90,
90,30,30,30,30,30,30,30,120,60,60,60,60,60,60,60,120,24,24,24,15,15,45,45,45,
45,45,45,45,45,45,45,45,45,45,20,10,40,40,40,40,40,40,40,6,18,18,18,18,54,18,
54,18,18,18,5,5,15,10,10,10,30,45,15,15,15,15,15,15,45,15,15,15,30,30,30,30,
30,30,30,30,30,30,30,30,30,30,60,60,1,6,24,24,24,45,20,10,10,10,10,10,10,10,
20,20,40,18,6,18,18,18,18,18,5,5,15,15,15,15,15,15,15,15,15,15,15,15,30,30,3,
7,9,6,6,6,24,5,10,10,10,10,10,10,10,20,18,4,15,15,3,1,9,3,3,3,9,6,6,6,5,5,5,
10,4,4,4,1,3,3,3,3,3,3,6,5,1,4,3,1,1,1,1],[1,15,9,70,30,135,10,4,80,5,3,1,3,
105,45,105,45,90,90,90,30,30,30,45,135,135,135,45,270,270,90,90,6,10,4,70,30,
70,30,40,60,90,90,40,60,80,240,240,3,30,10,45,45,105,45,15,30,30,30,30,135,45,
135,45,45,45,45,45,45,135,45,135,45,45,135,135,135,270,270,90,90,90,90,90,90,
90,180,180,40,6,54,54,5,1,20,30,30,10,70,40,60,20,60,90,90,30,90,90,30,90,30,
90,30,90,90,30,30,30,40,60,60,60,60,60,180,120,120,240,24,15,5,45,15,15,15,45,
30,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,135,45,45,45,
135,135,135,45,90,90,90,40,40,40,40,40,40,40,18,42,6,18,18,54,18,54,18,36,1,
15,35,10,30,30,10,30,10,10,10,45,15,15,20,20,60,30,30,30,30,30,30,90,30,30,90,
30,30,30,30,30,30,90,30,30,30,30,30,30,30,30,30,30,90,30,120,60,60,60,60,60,
60,60,120,24,24,24,15,45,15,45,45,45,45,45,45,45,45,45,45,45,45,20,10,40,40,
40,40,40,40,40,18,6,18,54,18,54,18,18,18,18,18,5,15,5,30,10,10,10,45,45,15,15,
15,15,15,15,15,15,15,30,30,30,30,30,30,30,30,30,30,30,30,30,30,60,60,1,6,24,
24,24,45,20,10,10,10,10,10,10,10,20,20,40,6,18,18,18,18,18,18,15,5,5,15,15,15,
15,15,15,15,15,15,15,15,30,30,7,3,9,6,6,6,24,5,10,10,10,10,10,10,10,20,18,4,
15,15,1,3,9,9,3,3,3,6,6,6,5,5,5,10,4,4,4,3,1,3,3,3,3,3,6,5,1,4,3,1,1,1,1],[1,
3,45,30,30,135,20,20,1,15,15,45,15,15,15,15,90,90,90,90,90,90,135,135,135,135,
135,90,90,90,90,36,60,60,40,40,60,60,120,120,180,180,45,30,30,45,45,15,15,45,
90,90,90,90,45,45,45,135,45,135,45,135,135,45,135,45,45,135,45,45,135,90,90,
90,90,90,90,90,90,270,180,180,10,36,108,108,15,15,20,20,20,20,20,20,120,120,
60,60,60,60,180,180,180,180,120,120,15,15,15,15,45,15,15,90,45,45,45,135,45,
45,45,45,45,45,45,45,135,135,45,45,45,45,45,45,45,45,135,45,45,45,45,45,90,90,
90,10,30,30,40,40,36,72,108,108,72,15,15,30,30,30,30,45,45,45,45,20,60,60,20,
60,60,60,60,60,60,60,60,60,60,45,15,15,45,45,45,45,45,45,45,45,45,45,45,45,10,
10,20,20,30,30,30,20,20,20,20,20,20,36,36,36,15,15,30,30,15,15,15,45,15,15,15,
45,15,45,45,15,30,30,60,60,6,6,45,10,20,10,30,10,10,10,30,20,20,20,20,20,36,
15,15,15,15,15,15,15,15,15,15,15,15,15,15,12,12,18,18,10,10,10,10,10,10,10,15,
15,6,6,6,6,6,6,10,1,6,6,2,3,1,1,1,1],[1,5,45,225,20,20,15,15,45,225,225,225,
225,1,36,72,72,60,60,100,100,300,300,45,75,75,225,225,225,225,10,1,36,45,45,
180,180,360,360,15,15,300,300,20,20,225,10,50,50,15,15,45,45,45,45,45,180,15,
15,75,75,75,75,36,20,20,60,60,60,60,10,50,50,15,15,45,45,45,45,45,10,75,75,36,
36,36,6,6,15,15,60,60,50,45,10,10,10,36,15,15,15,30,15,15,15,30,10,10,10,15,
15,6,6,1,10,6,6,5,1,1],[1,15,15,225,10,10,200,5,5,150,225,225,225,6,6,72,72,
10,10,150,150,150,150,600,75,75,225,100,6,6,90,90,90,90,360,360,5,5,50,50,100,
100,150,150,150,150,600,60,60,25,100,100,100,30,30,90,90,90,90,50,75,75,50,36,
60,60,60,60,60,60,50,50,100,30,30,25,25,50,36,36,36,1,1,30,30,60,60,60,60,50,
50,36,15,30,15,30,25,10,10,5,5,6,6,10,10,6,6,5,5,1],[1,15,15,225,10,10,200,5,
5,150,225,225,225,6,6,72,72,10,10,150,150,150,150,600,75,75,225,100,6,6,90,90,
90,90,360,360,5,5,50,50,100,100,150,150,150,150,600,60,60,25,100,100,100,30,
30,90,90,90,90,50,75,75,50,36,60,60,60,60,60,60,50,50,100,30,30,25,25,50,36,
36,36,1,1,30,30,60,60,60,60,50,50,36,15,15,30,30,25,10,10,5,5,6,6,10,10,6,6,5,
5,1],[1,3,45,135,4,20,20,160,160,1,15,15,45,90,90,135,135,135,135,135,36,60,
60,60,60,180,180,180,45,45,45,45,135,135,135,135,135,135,135,270,10,80,80,160,
160,36,108,108,1,15,15,20,20,60,60,40,40,120,120,180,180,180,180,180,360,360,
144,15,15,45,135,135,135,135,10,30,30,240,240,36,108,108,15,15,45,45,45,45,45,
60,60,180,40,144,45,10,10,20,20,30,60,30,60,30,40,40,36,15,15,15,15,30,30,45,
45,45,45,45,40,6,6,36,10,60,60,30,30,60,60,15,15,45,10,40,18,18,36,10,15,15,
24,24,10,6,6,15,15,1,10,3,6,6,4,1,1],[1,15,9,60,60,135,10,2,2,40,40,5,9,90,90,
90,90,90,90,135,135,135,270,270,6,10,6,6,60,60,60,60,20,20,30,30,90,90,60,60,
90,90,120,120,120,120,360,360,45,90,90,90,135,135,135,135,135,135,270,270,270,
1,20,20,40,40,6,54,54,5,10,10,60,60,20,20,30,30,30,30,90,90,90,90,90,90,90,60,
60,90,90,180,90,90,90,90,90,90,180,180,180,360,360,12,12,45,135,135,135,135,
135,135,1,15,15,20,20,20,20,20,20,20,20,40,40,60,60,60,60,60,60,60,60,120,120,
120,120,36,36,54,54,54,30,30,45,30,30,30,30,90,90,90,90,90,90,90,60,60,90,90,
90,90,90,90,90,90,90,90,10,12,12,36,36,36,36,135,1,5,10,10,10,10,15,15,15,20,
20,20,20,30,30,30,30,30,30,60,60,60,60,60,60,60,60,60,60,60,60,120,120,54,54,
54,6,45,45,45,90,90,90,10,10,10,20,20,20,20,1,12,12,36,36,36,36,5,10,10,10,15,
15,15,15,15,15,30,30,30,30,30,30,30,30,30,60,60,60,60,54,6,6,6,45,5,10,10,10,
10,10,10,10,20,20,20,20,6,6,9,36,36,5,15,15,15,15,15,15,30,30,2,2,6,6,6,12,12,
5,10,10,10,10,10,10,10,10,10,9,9,9,15,2,2,6,6,6,6,6,6,6,5,5,5,10,9,1,6,6,6,5,
1,2,2,1,1,1,1],[1,3,45,60,60,135,1,20,20,40,40,15,15,45,45,45,180,180,180,180,
135,135,135,135,270,270,270,36,1,60,60,15,15,15,15,80,80,60,60,45,45,240,240,
180,180,120,120,120,120,360,360,45,60,60,45,45,180,180,180,180,135,135,135,
135,135,135,135,135,270,270,270,270,270,270,10,20,20,40,40,36,108,108,15,15,
15,15,15,15,30,30,60,60,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,240,240,
180,90,180,180,180,90,360,360,360,360,36,45,45,180,135,135,135,135,135,270,
270,270,10,30,30,20,20,20,20,20,80,80,20,40,40,60,60,60,60,60,60,60,60,120,
120,120,120,144,108,15,15,15,15,15,60,15,15,60,15,60,60,45,45,45,45,30,30,45,
45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,
45,45,90,90,180,180,90,90,10,36,36,36,135,10,40,40,30,15,30,15,20,20,60,60,60,
60,60,60,60,60,60,60,60,60,60,60,60,60,120,120,108,60,15,15,60,45,45,45,45,45,
45,45,45,90,45,45,45,45,45,45,45,45,45,45,90,45,90,90,10,10,10,20,20,20,20,6,
6,36,36,36,40,15,15,15,15,15,15,15,15,15,15,15,30,15,30,15,30,15,60,60,60,45,
45,45,10,10,10,10,10,10,10,20,20,20,20,24,24,18,18,36,15,15,30,15,15,15,15,15,
15,15,15,15,15,15,15,6,6,10,10,10,10,10,10,10,18,18,15,15,1,6,6,6,6,6,6,10,4,
3,6,6,1,3,1,1,1,1],[1,5,45,225,20,20,15,15,45,75,75,225,225,225,225,450,1,36,
72,72,60,60,100,100,300,300,45,75,75,225,225,225,225,225,225,225,225,10,1,36,
45,45,180,180,360,360,15,15,100,100,300,300,300,300,20,20,75,75,225,225,225,
225,225,10,50,50,15,15,15,15,45,45,45,45,45,90,180,360,360,360,15,15,75,75,75,
75,300,300,36,20,20,60,60,60,60,225,10,50,50,100,100,15,15,45,45,45,45,45,45,
45,45,45,180,10,75,75,75,75,75,75,36,36,36,6,6,15,15,20,20,60,60,60,60,50,50,
50,15,15,45,45,45,45,45,10,10,10,75,75,36,36,36,15,15,15,30,15,15,15,30,60,60,
50,45,10,10,10,20,20,36,15,15,15,15,15,30,30,15,6,6,1,10,10,10,15,15,6,6,5,10,
6,6,5,1,1,1],[1,15,15,100,225,10,10,200,5,5,150,150,150,150,150,225,225,225,
450,450,6,6,72,72,10,10,100,100,100,150,150,150,100,150,200,600,600,75,150,75,
150,225,225,225,225,225,450,450,900,100,6,6,90,90,90,90,360,360,5,5,50,50,100,
100,150,100,150,150,150,150,150,150,150,100,150,150,150,150,300,600,300,600,
60,60,25,225,225,225,225,225,225,100,100,100,100,100,100,100,60,30,30,90,90,
60,180,90,90,180,360,360,50,50,50,75,75,50,150,150,150,150,150,150,150,300,
300,150,150,150,150,150,600,36,60,60,60,60,60,60,225,50,50,100,100,100,100,
100,100,100,30,30,90,90,90,90,25,25,50,75,75,75,75,150,150,36,36,36,1,1,30,60,
30,60,60,60,60,60,60,60,50,50,50,50,50,50,100,90,90,75,75,150,36,36,36,10,15,
10,30,15,30,60,60,60,60,25,50,50,10,10,36,5,5,15,15,30,15,15,30,25,6,6,10,10,
10,10,10,10,15,15,6,6,5,5,10,10,6,6,5,5,1,1],[1,15,15,100,225,10,10,200,5,5,
150,150,150,150,150,225,225,225,450,450,6,6,72,72,10,10,100,100,100,150,150,
150,100,150,600,200,600,75,75,150,150,225,225,225,225,225,450,450,900,100,6,6,
90,90,90,90,360,360,5,5,50,50,100,100,100,150,150,150,150,150,150,150,150,100,
150,150,300,150,150,300,600,600,60,60,25,225,225,225,225,225,225,100,100,100,
100,100,100,100,60,30,30,90,90,60,180,90,90,180,360,360,50,50,50,75,75,150,50,
150,150,150,150,150,150,300,150,150,150,150,150,300,600,36,60,60,60,60,60,60,
225,50,50,100,100,100,100,100,100,100,30,30,90,90,90,90,25,25,50,75,75,75,75,
150,150,36,36,36,1,1,30,60,30,60,60,60,60,60,60,60,50,50,50,50,50,50,100,90,
90,75,75,150,36,36,36,10,15,10,15,30,30,60,60,60,60,25,50,50,10,10,36,5,5,15,
15,30,15,15,30,25,6,6,10,10,10,10,10,10,15,15,6,6,5,5,10,10,6,6,5,5,1,1],[1,3,
45,90,90,135,4,20,20,160,160,1,15,15,45,45,45,45,45,270,90,270,90,270,270,135,
135,135,135,135,270,270,270,270,36,60,60,60,60,120,120,60,60,180,360,360,180,
180,480,480,45,90,90,45,45,45,45,45,270,270,270,270,135,135,135,135,135,135,
135,135,135,135,135,135,135,135,135,135,135,270,270,270,270,270,270,270,270,
270,540,540,10,80,80,160,160,36,108,108,1,15,15,20,20,60,60,40,40,120,60,120,
60,60,60,180,180,180,180,180,360,360,180,180,180,180,180,180,180,180,360,360,
360,360,144,15,15,45,45,45,45,45,270,135,135,135,135,135,135,135,135,135,135,
135,135,135,135,135,135,135,135,135,135,135,135,135,135,135,135,135,135,270,
270,270,10,30,30,80,80,120,120,240,240,240,240,480,480,36,216,108,108,216,15,
15,15,15,60,90,90,60,90,90,45,45,45,45,45,60,60,60,60,180,180,180,180,180,120,
120,180,180,360,180,180,180,180,180,180,180,360,180,360,360,40,144,45,45,45,
135,135,135,135,135,135,135,135,135,135,135,135,10,10,20,60,20,60,30,60,30,60,
30,40,40,60,60,60,60,60,60,240,240,36,108,108,15,15,15,15,30,90,90,30,45,45,
45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,90,180,90,180,180,40,80,80,6,6,
36,144,135,10,60,20,20,60,60,60,60,60,60,30,30,30,30,30,30,60,60,60,60,60,60,
60,60,60,120,120,108,15,15,15,15,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,
45,45,90,90,10,40,40,40,36,36,18,18,36,10,15,15,30,30,30,60,60,30,30,30,60,60,
24,24,45,45,45,10,40,20,20,6,6,18,18,18,18,36,15,15,15,15,15,15,30,1,24,24,10,
10,10,18,18,15,15,6,3,6,6,10,4,1,3,3,6,6,4,3,1,1],[1,15,45,675,10,20,20,400,
400,5,15,15,45,450,450,675,675,675,675,675,6,36,432,432,10,60,60,300,300,450,
450,900,900,3600,3600,45,225,225,225,675,675,675,675,675,675,675,1350,10,200,
200,400,400,6,36,270,270,540,540,2160,2160,5,15,15,100,100,150,150,200,200,
300,300,450,450,450,450,450,900,900,900,900,1800,1800,120,120,360,75,75,225,
675,675,675,675,10,150,150,200,200,600,600,600,600,1200,1200,90,90,180,270,
270,270,270,270,540,540,15,15,150,150,225,225,225,225,225,300,300,450,450,450,
450,450,900,900,216,100,120,120,360,360,360,360,360,360,360,225,10,50,100,100,
150,150,150,150,150,200,200,600,600,90,90,180,270,270,270,270,270,60,75,75,75,
75,150,150,225,225,225,225,225,450,216,216,216,100,100,100,1,6,6,90,90,180,
360,360,360,360,360,360,360,50,150,150,150,150,150,150,150,150,300,300,270,60,
60,60,75,75,225,216,50,100,100,100,45,90,90,90,90,90,90,90,90,180,50,75,75,
150,150,20,20,60,60,60,60,60,50,100,15,15,30,30,45,90,90,75,75,36,36,36,1,60,
60,60,60,60,50,45,10,36,36,36,15,15,15,30,30,10,10,5,15,15,6,10,10,6,6,6,5,
1],[1,15,45,150,150,675,10,20,20,400,400,5,15,15,45,225,225,225,225,450,450,
450,450,450,450,675,675,675,675,675,1350,1350,1350,1350,6,36,432,432,10,60,60,
150,150,150,150,200,200,300,300,450,450,600,600,900,900,1200,1200,1200,1200,
3600,3600,45,150,150,225,225,225,225,225,450,450,450,450,675,675,675,675,675,
675,675,675,675,675,675,675,675,675,675,675,675,1350,1350,1350,1350,1350,1350,
1350,1350,1350,2700,2700,10,200,200,400,400,6,36,270,270,540,540,2160,2160,5,
15,15,100,100,150,150,150,150,200,200,300,300,300,300,300,300,450,450,450,450,
450,450,450,450,450,450,450,450,450,450,450,600,600,900,900,900,900,900,900,
900,900,900,900,1800,1800,1800,1800,3600,3600,120,120,360,75,75,225,225,225,
225,225,450,675,675,675,675,675,675,675,675,675,675,675,675,675,675,675,675,
675,675,675,675,675,675,675,675,675,675,675,675,1350,1350,1350,10,150,150,200,
200,200,200,200,200,200,200,400,400,600,600,600,600,600,600,600,600,1200,1200,
1200,1200,90,90,90,90,180,270,270,270,270,270,360,540,540,540,1080,2160,2160,
15,15,75,75,150,150,150,150,150,150,150,150,150,150,225,225,225,225,225,300,
300,300,300,300,300,450,450,450,450,450,450,450,450,450,450,450,450,450,450,
450,450,450,450,450,450,450,450,450,450,450,450,450,450,450,600,600,900,900,
900,900,900,900,900,900,900,900,900,900,900,900,1800,1800,216,100,120,120,360,
360,360,360,360,360,360,225,225,225,675,675,675,675,675,675,675,675,675,675,
675,675,10,50,100,100,100,100,150,150,150,150,150,200,200,200,200,300,300,300,
300,300,300,600,600,600,600,600,600,600,600,600,600,600,600,1200,1200,90,90,
180,270,270,270,270,270,270,270,270,270,540,540,60,75,75,75,75,150,150,150,
150,150,150,225,225,225,225,225,225,225,225,225,225,225,225,225,225,225,225,
225,450,450,450,450,450,450,450,450,450,450,450,450,450,450,450,900,900,900,
900,216,216,216,100,100,100,200,200,200,200,1,6,6,90,90,120,120,180,360,360,
360,360,360,360,360,360,360,360,360,675,50,100,100,100,150,150,150,150,150,
150,150,150,150,150,150,150,150,150,150,150,150,150,150,150,300,300,300,300,
300,300,300,300,300,600,600,600,600,90,90,270,270,270,270,270,540,60,60,60,75,
75,75,75,225,225,225,225,225,225,225,225,225,225,225,225,225,225,225,225,225,
450,450,450,216,216,216,50,100,100,100,100,100,100,100,200,200,200,200,15,15,
45,60,60,90,90,90,90,90,90,90,90,180,360,360,360,360,360,360,360,50,75,75,150,
150,150,150,150,150,150,150,150,150,150,150,150,150,150,150,150,150,150,150,
300,300,270,20,20,60,60,60,60,60,120,120,225,225,225,216,50,100,100,100,100,
100,100,100,100,100,15,15,30,30,45,45,45,45,45,90,90,90,90,90,90,90,90,90,90,
180,75,75,75,75,75,75,150,150,150,36,36,36,1,20,20,60,60,60,60,60,60,60,60,60,
60,60,60,60,50,50,50,100,15,15,45,45,45,45,45,90,90,90,90,10,75,75,36,36,36,
10,15,15,15,30,30,60,60,60,60,60,50,45,10,10,20,20,36,36,36,5,15,15,15,15,15,
15,15,15,30,30,6,10,10,10,10,10,10,15,15,15,6,6,6,5,10,10,6,6,6,5,1,1]],
[1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,5,5,5,5,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,9,9,9,9,9,10,10,10,10,10,10,
10,10,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
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,
15,15,15,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,20,20,20,20,20,20,20,20,20,20,20,
20,20,20,20,20,20,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
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,
25,27,30,30,30,30,30,30,30,30,30,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,40,40,40,40,40,40,40,40,40,40,40,40,40,40,45,48,48,
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,
48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,50,50,50,54,54,54,54,54,
54,54,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,64,72,72,72,72,
72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,
72,72,72,72,72,72,72,80,80,80,80,80,80,80,80,90,90,90,96,96,96,96,96,96,96,96,
96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,100,100,100,108,108,108,108,
108,108,108,108,108,108,108,108,120,120,120,120,120,120,120,120,120,120,120,
120,120,120,120,120,120,120,120,120,120,144,144,144,144,144,144,144,144,144,
144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,160,180,180,
180,180,180,180,180,180,180,192,192,192,200,216,216,216,216,216,216,216,216,
216,216,240,240,240,240,240,240,240,240,240,240,240,240,240,240,240,240,240,
240,240,240,288,288,288,288,288,288,288,288,288,300,300,300,360,360,360,360,
360,360,360,360,360,360,360,360,360,360,360,360,432,432,432,432,480,480,480,
480,480,480,480,480,480,480,480,540,576,576,600,600,600,720,720,720,720,720,
720,720,720,720,720,720,864,960,1080,1080,1080,1080,1200,1200,1200,1440,1440,
1440,1440,1440,1440,1440,1440,1440,1440,1440,1800,2160,2160,2160,2160,2160,
2160,2880,2880,2880,3600,3600,3600,4320,4320,4320,7200,7200,7200,8640,21600,
43200],
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543,544,543,542,543,543,472,472,472,472,472,344,337,339,335,746,716,545,545,
745,709,705,658,657,658,657,622,629,594,602,543,543,507,506,439,441,375,380,
381,370,164,163,711,657,658,617,616,618,617,618,543,543,543,543,472,472,472,
472,472,472,472,472,472,472,472,472,472,472,472,472,472,344,333,344,344,334,
344,344,344,332,180,183,744,629,622,559,558,746,716,606,606,517,517,247,248,
749,738,737,680,678,657,657,658,658,627,625,584,594,598,594,602,602,543,543,
543,543,543,543,543,543,543,543,543,543,543,543,543,507,506,439,439,404,441,
441,439,441,441,439,403,312,320,319,311,163,164,665,673,576,695,694,617,618,
616,618,617,543,472,472,472,472,472,472,472,472,472,472,472,472,472,472,472,
472,472,472,472,472,472,472,472,472,472,472,472,472,344,344,344,744,656,656,
629,622,629,622,622,629,622,629,559,558,506,507,507,507,507,506,506,506,381,
380,381,380,689,690,690,689,649,606,606,606,606,606,576,516,517,517,394,247,
248,738,737,695,694,658,657,657,658,657,658,658,658,657,657,616,618,617,618,
617,598,602,605,604,594,584,543,543,543,543,543,543,543,543,543,543,543,543,
543,543,543,543,543,543,543,543,543,543,543,543,543,543,543,543,543,509,508,
439,439,440,441,440,441,441,439,441,442,439,439,442,441,319,320,619,681,673,
665,577,576,580,580,577,576,576,616,617,618,472,472,472,472,472,472,472,472,
472,472,472,472,744,710,680,681,678,681,656,658,656,657,656,629,625,627,622,
602,594,603,594,602,586,506,507,507,506,507,507,506,506,506,507,507,506,380,
381,689,690,649,606,606,606,606,606,606,606,606,606,517,517,708,695,694,695,
694,654,657,657,658,658,653,616,617,616,618,617,617,617,618,616,616,618,617,
616,618,618,618,617,543,543,525,543,543,543,543,543,543,543,543,543,543,533,
543,439,440,441,442,619,619,619,681,681,681,629,622,622,629,751,747,748,690,
689,673,665,649,576,580,576,577,575,580,576,574,577,578,579,472,710,681,678,
680,657,657,658,658,657,658,658,657,658,657,657,656,656,656,658,656,657,656,
658,656,594,605,602,605,604,588,604,602,594,506,507,508,509,690,689,606,606,
606,606,606,517,708,708,708,695,695,694,694,617,616,616,618,616,617,617,618,
618,616,617,616,618,618,618,617,617,542,543,544,619,619,619,710,681,681,681,
681,681,681,681,629,622,629,622,738,737,711,706,707,690,690,690,691,689,689,
689,692,649,574,575,576,577,578,579,580,710,694,695,657,657,656,656,656,657,
657,657,658,658,656,658,657,658,658,658,657,658,656,656,604,605,606,731,735,
708,707,708,708,706,673,665,616,617,618,619,710,681,681,681,681,678,681,680,
681,681,738,737,729,728,711,711,711,711,711,690,690,689,690,689,691,692,692,
689,691,649,694,695,694,694,695,695,656,657,658,716,717,718,751,735,731,708,
707,708,705,707,709,709,707,708,706,705,706,706,710,710,710,681,737,738,711,
711,711,711,711,689,690,691,692,744,694,695,718,717,716,745,737,739,738,728,
729,705,706,707,708,709,710,711,745,744,731,735,716,717,718,749,738,739,737,
738,737,738,739,737,728,729,746,744,745,745,745,744,744,737,738,739,746,747,
748,749,744,745,746,747,748,749,751,751],
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7,9,8,7,7,1,1,8,9,1,1,7,1,1,1,9,8,1,11,10,1,10,11,3,1,1,1,1,2,2,1,3,3,1,3,1,1,
2,1,1,3,1,3,3,2,1,1,1,1,1,1,1,1,2,3,1,2,3,3,1,3,6,6,1,1,1,1,1,35,36,35,1,36,1,
37,38,12,14,13,1,1,1,7,1,7,12,12,13,8,14,8,9,9,1,7,1,7,7,7,7,7,7,7,1,7,7,1,1,
9,8,1,1,7,1,1,9,8,8,9,7,9,21,23,8,11,10,1,1,1,1,1,1,1,1,1,1,3,6,2,2,3,6,3,2,6,
2,3,1,3,3,3,6,3,6,2,6,1,2,2,3,3,2,2,2,3,3,3,3,102,1,102,9,7,103,104,8,9,8,7,8,
9,1,103,1,7,9,8,7,104,106,105,10,11,35,35,1,1,1,35,35,1,35,35,36,35,36,36,36,
37,38,116,117,115,115,7,1,7,14,7,1,116,7,117,13,12,14,13,116,117,14,49,8,9,48,
13,7,1,51,3,7,51,7,51,51,7,7,51,51,7,51,7,7,51,3,51,7,7,51,51,3,51,7,7,3,124,
125,9,49,128,48,128,48,8,9,2,126,49,2,126,8,161,160,1,1,35,35,8,167,166,9,165,
36,7,3,2,2,28,28,28,28,28,28,28,28,3,3,28,2,102,1,12,102,12,102,102,14,102,13,
102,103,12,12,104,9,8,102,8,9,102,8,103,103,104,9,7,104,104,104,103,103,7,105,
106,35,35,36,110,35,35,35,110,35,110,35,3,36,36,1,13,14,12,12,168,117,7,7,116,
169,115,13,115,116,13,117,117,14,12,115,116,117,115,14,116,116,117,51,51,117,
51,51,51,51,51,51,51,51,3,51,116,7,49,128,48,126,36,321,35,102,322,7,103,8,
104,9,453,454,455,14,13,166,165,12,36,35,167,35,465,166,167,468,165,470,471,
28,102,207,351,349,117,356,116,122,117,14,122,120,354,120,13,102,102,102,354,
102,356,102,116,102,48,115,208,118,119,207,115,49,208,104,103,125,124,35,35,
110,110,110,110,35,112,35,396,102,115,117,116,115,117,66,115,264,263,65,265,
116,116,263,265,263,264,69,264,265,117,406,51,401,321,321,321,12,102,102,322,
322,322,102,322,103,104,322,322,453,453,453,454,455,456,234,116,455,457,117,
235,454,236,468,465,167,165,470,471,166,102,169,168,356,356,209,207,207,120,
356,356,116,354,208,354,117,122,354,354,356,354,208,209,351,349,110,453,453,
396,455,396,102,454,166,165,263,265,264,321,348,446,322,207,446,351,446,349,
322,322,453,453,454,455,453,453,453,453,453,234,456,457,456,457,455,454,454,
235,455,460,400,397,398,582,583,399,355,356,354,453,455,454,662,608,607,396,
455,396,607,610,453,608,610,396,454,453,613,613,548,348,548,446,453,453,453,
562,562,562,562,457,456,568,572,453,582,583,661,660,659,662,631,662,630,633,
632,607,613,610,520,608,620,562,662,693,607,608,659,660,661,662,702,662,631,
702,700,630,662,700,703,704,662,693,662,712,712,693,693,700,702,701,730,741,
742,719,713,712,730,741,742,743,750,750],
[(1,4)(2,3),( 2, 3, 9, 7, 5)( 4,11,10, 8, 6)],
[[[[]]],[[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,2,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[
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1,1],[1,1,2,-1],[5,1,1,1,3,-1,4,1,2,1,3,2,4,-1,5,1]]],[[[1,1,2,1],[2,1,1,1],[
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1],[1,1,2,-1],[5,1,1,1,3,-1,4,1,2,1,3,2,4,-1,5,1]]],[[[1,1,2,1],[2,1,1,1],[1,
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1,1,1]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,-2]]],[[[2,1,1,1],[1,1,2,-1,3,-2]]],[[[
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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],[4,1,3,-1,
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1,3,1,2,1,3,3,2,1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,-1,1,1,2,-1,3,
1,4,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,2,-1,3,1,4,1,2,1,4,1,3,-1,4,
1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,1,1,3,-1,4,1,2,1,3,2,4,-1,5,1]]],[[[
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1],[2,1,1,1],[2,1,3,2],[5,1,4,1,5,1,4,-1]],[[1,1,2,1],[2,2,3,3,2,1,1,1]]],[[[
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1],[1,1,2,-1],[5,1,1,1,3,-1,4,1,2,1,3,2,4,-1,5,1]]],[[[1,1,2,1],[2,1,1,1],[4,
1,3,-1,2,-1,3,2,4,-1]],[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]]],[[[1,1,2,1],[2,
1,1,1],[4,1,3,-1,2,-1,3,2,4,-1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2]]],[[[1,1,2,
1],[2,1,1,1],[2,1,3,2,4,1,2,-1,3,-2,4,-1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1,
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1],[1,1,2,-1],[3,1,4,-2,5,2,4,-2,3,-1],[1,1,2,1],[2,1,1,1],[8,1,2,1,7,3,1,1,8,
1],[6,1,9,1]]],[[[1,1,2,1],[1,1,2,-1],[2,1,1,1,2,-1,3,-2],[4,1,5,-1,4,1,5,
-1]]],[[[2,1]]],[[[1,1,2,1],[3,4,2,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,2,2,
1,3,2]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[1,
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2,3,1,2,1,3,1,2,1,1,1]]],[[[1,1,2,1],[2,1,3,4,2,1,1,1]]],[[[1,1,2,1],[2,1,1,
1],[4,2,3,-1,2,1,4,1,3,-1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,-2]],[[1,1,2,-2,
1,1,2,2,1,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,4,3,-1]],[[1,1,2,1],[2,2,3,1,2,1,
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1,1],[2,1,3,2],[5,1,4,1,5,1,4,-1]],[[2,1,1,1],[2,2,1,1,2,1,3,3]]],[[[1,1,2,
1],[3,2,1,1,2,-1,1,1,2,-1]]],[[[1,1,2,1],[3,2,2,1,3,1]]],[[[1,1,2,1],[3,1,2,1,
3,3,1,1,2,-1]]],[[[1,1,2,1],[2,1,3,1],[4,1,2,1,1,1,4,1,3,1]],[[1,1,2,1],[2,1,
1,1,3,-3,2,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,-1,3,-2,5,-1,4,-1]],[[
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1,4,-1,2,-1,3,1,2,1,4,-2]]],[[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1]],[[1,1,2,1],[
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1]]],[[[1,1,2,1],[2,1,3,1],[4,1,3,2,4,1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2,3,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,1,2,1,4,-1]],[[1,1,2,1],[2,1,3,
1],[3,1,4,2,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,1,2,1,3,1],[6,1,4,-1,5,
1,6,1,4,1,5,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,1,1,3,-1,4,1,2,1,3,2,4,
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1,3,1],[3,1,4,2,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,1,1,2,-1,4,-2,2,
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1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,1,4,-2,5,2,3,2,2,1]]],[[[1,1,2,1],[2,1,
3,1,2,1,1,1,2,2,3,1]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1]]],[[[1,1,2,1],[2,1,1,
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1,1,1],[4,1,2,1,3,2,1,1,2,-1,3,1,4,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,
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1],[2,1,1,1],[3,1,4,-1,2,-1,4,-1,1,1,2,-1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,
3,1,2,1,3,3,2,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-1,2,-2,5,2,3,
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1,2,-2,3,1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,
2,1,3,3,1,1,4,1]],[[1,1,2,1],[2,1,3,2],[4,1,2,1,1,1,4,1]]],[[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[3,1,4,-2,5,2,3,1,2,1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
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2,4,-2,3,-1,5,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,1,1,2,-1,3,1,4,2]]],[[[
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1],[2,1,1,1],[2,1,3,2,4,2,3,-2]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,1,3,1,4,-1,5,-1,3,-1,2,1,1,1]],[[
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1,1],[2,2,3,1,4,2,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,2,2,1,3,2]]],[[[
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1],[3,1,1,1,4,2,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,1,1,1,2,1,4,-1,3,
-1,4,1]],[[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,
1,1],[4,1,2,1,3,3,1,1,4,1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2]],[[1,1,2,1],[2,
1,3,1,2,1,1,1,2,2,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,1,4,-2,5,2,4,-2,
3,-1]],[[2,1,1,1],[2,2,1,1,2,1,3,3]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,-1,
3,-2,5,-1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1]],[[2,1,1,1],[
2,2,1,1,2,1,3,-2,2,-1]],[[1,1,2,1],[2,2,3,3,2,1,1,1]]],[[[1,1,2,1],[2,1,3,1,1,
1,2,-1,1,1,2,-2,3,1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2]]],[[[1,1,2,1],[2,1,3,
1,1,1,2,-1,1,1,2,-2,3,1]],[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,2]]],[[[1,1,2,1],[
2,1,1,1],[4,1,2,1,3,2,1,1,2,-1,4,-1,3,-2]],[[1,1,2,1],[2,-1,1,1,2,-1,3,2]],[[
1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,3,2,1,4,-1]]],[[[1,1,2,1],[2,1,1,1,3,-2,2,
-2]],[[1,1,2,1],[2,1,3,1],[3,1,4,2,3,1]]],[[[1,1,2,1],[2,1,3,1],[3,1,4,2,3,
1]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]]],[[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,
2]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,
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],[1,1,2,-1],[4,1,3,1,4,-1,2,-1,5,2,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,
-1,4,2,2,1,3,2]]],[[[1,1,2,1],[2,1,3,1],[3,1,4,2,3,1]],[[1,1,2,-2,1,1,2,2,1,
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,-3,2,
-1,1,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,4,3,-1]],[[1,1,2,1],[2,1,1,1,3,-3,2,
-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,2,5,1,3,1]],[[1,1,2,1],[2,1,
1,1],[3,1,4,4,3,-1]]],[[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,1,2,1,1,1,4,1,3,1,4,-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]]],[[[1,
1,2,1],[2,1,3,1],[1,1,2,-1,3,1,4,1,2,1,1,1,3,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[
3,2,2,1,4,-2,1,1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,-1,4,3,2,-1,3,
-1]],[[1,1,2,1],[2,2,3,2,2,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,1,4,-2,5,
2,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1]]],[[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[5,1,3,1,1,1,4,1,5,-1,4,1,3,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,
2,-1],[5,1,1,1,3,-1,4,1,2,1,3,2,4,-1,5,1]]],[[[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],[3,1,4,2,3,1]]],[[[1,1,2,1],[2,1,3,1],[
4,1,3,1,4,1,3,1]]],[[[1,1,2,1],[3,1,2,1,3,3,2,1]],[[1,1,2,1],[2,1,3,1],[4,1,3,
2,4,1]]],[[[1,1,2,1],[3,2,2,1,1,1,3,-1,2,-1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,
3,-1,2,-1,3,-1]],[[1,1,2,1],[2,1,3,1],[4,1,3,2,4,1]]],[[[1,1,2,1],[3,2,2,1,1,
1,2,2,3,1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,
-2,2,-1,1,1,2,-1,4,-2,2,-1]],[[1,1,2,1],[1,1,2,-1],[3,2,1,1,2,-1],[5,1,4,1,5,
1,4,1]]],[[[1,1,2,1],[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],[3,2,2,2,1,1],[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],[1,1,3,-3,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,
3,3,1,1,4,1]],[[1,1,2,1],[2,1,1,1],[3,2,4,1,2,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[
3,2,4,1,2,1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,2,2,1,3,1]]],[[[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],[2,1,1,1],[3,
1,4,-1,2,-1,1,1,2,-2,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,2,2,1,3,
2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,1,4,1,2,1,4,1,3,-1,4,1]],[[1,1,2,-1],[
3,2,1,1,2,2,1,1,2,2]]],[[[1,1,2,1],[3,2,2,1,1,1,2,1,3,2]],[[2,1,1,1,2,1,1,1,2,
-1,1,1,2,-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],[4,1,2,1,3,3,1,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,
1,1,4,1]],[[2,1,1,1],[3,2,2,-2,1,1,2,2,3,-1]]],[[[1,1,2,1],[1,1,2,-1,3,2,2,1,
3,1,1,1,2,1,1,1]],[[1,1,2,1],[2,1,3,1],[2,1,1,1,4,-1,3,-1,4,-1]]],[[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[4,1,5,1,3,1,4,-1,5,-1,3,-1,2,1,1,1]],[[1,1,2,1],[2,1,
1,1],[2,1,3,2,4,-1,3,1,4,2,2,1,1,1]]],[[[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],[2,1,3,1],[3,1,4,-1,1,1,2,-1,1,1,2,-1,3,1,4,
1]]],[[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,3,
-2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,3,3,-1]],[[1,1,2,1],[2,1,1,1,3,-3,2,
-2]]],[[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,
3,1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,1,3,2]],[[1,1,2,1],[1,1,2,-1,1,1,2,-1,3,
2]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,-1,2,-1]],[[1,1,2,1],[2,1,1,1,2,-1],[4,1,
3,1,4,1,3,1]]],[[[2,1,1,1],[3,2,2,-1,1,1]]],[[[1,1,2,1],[2,1,1,1],[4,2,3,-1,2,
1,4,1,3,-1]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,3,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,
1],[2,1,4,2,3,-2,2,-1]],[[1,1,2,-1,1,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,
3,2,4,2,3,-2]],[[1,1,2,1],[2,1,1,1],[4,2,3,-3,2,1,1,1]]],[[[1,1,2,1],[3,2,2,1,
1,1,2,1,3,2]],[[1,1,2,1],[2,1,3,1],[4,1,3,2,4,1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,
2,3,1]],[[1,1,2,1],[2,1,1,1,2,-1],[4,1,3,1,4,1,3,1]]],[[[1,1,2,1],[2,1,3,1],[
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,
3,1,4,2,2,-1,3,-2]],[[1,1,2,1],[1,1,2,-1,3,1,2,1,3,1,1,1,2,-1,3,-1,2,-2]]],[[[
1,1,2,1],[2,1,1,1],[2,1,3,3,4,2]],[[1,1,2,1],[3,2,2,1,1,1,2,1,3,2]]],[[[1,1,2,
1],[2,1,1,1,2,-1],[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],[2,1,3,1,2,1,1,1,2,2,3,1]],[[1,1,2,1],[2,1,1,1,2,-1],[4,1,3,1,4,1,3,
1]]],[[[1,1,2,1],[1,1,2,-1],[4,1,2,-1,3,1,1,1,2,-1,4,1,3,1]],[[1,1,2,1],[2,1,
1,1],[3,1,4,-2,1,1,2,-1,3,2]]],[[[1,1,2,1,1,1,2,-2]]],[[[1,1,2,1],[2,1,1,1],[
3,1,4,-1,2,-1,1,1,2,-2,3,1,4,1]],[[1,1,2,1],[2,1,3,1],[2,1,1,1,3,-1,4,-1,3,1,
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,-1,1,1,2,1,1,
1]],[[1,1,2,1],[2,1,1,1],[4,3,3,-2,2,-1]]],[[[1,1,2,1]]],[[[1,1,2,1],[3,2,2,1,
3,1]],[[1,1,2,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,2,3,-1,2,1,4,1,3,-1]],[[
1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]]],[[[1,1,2,-2,1,1,2,1,1,1,2,-1]]],[[[1,1,2,
1],[3,1,2,1,3,3,1,1,2,-1]],[[1,1,2,-2,1,1,2,2,1,1]]],[[[1,1,2,1],[2,1,1,1],[4,
1,2,1,3,3,1,1,4,1]],[[1,1,2,1],[2,1,1,1,3,-3,2,-2]],[[1,1,2,1],[2,1,3,1],[4,1,
2,1,1,1,4,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,4,2,3,-1]],[[1,1,2,1],[2,1,
1,1],[2,2,3,1,4,-2,3,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,-1,1,1,2,-1,
3,1,4,1]],[[2,1,1,1],[2,2,1,1,2,1,3,3]]],[[[1,1,2,1],[2,1,3,1,1,1,2,-1,1,1,2,
-2,3,1]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,-1,2,-1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,
1,3,2]],[[1,1,2,1],[3,2,2,1,1,1,2,2,3,1]]],[[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,
1]],[[1,1,2,1],[2,1,3,1],[4,1,2,1,1,1,4,1,3,1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,
-1,3,-1,2,1,1,1]],[[2,1,1,1,2,-2,1,1,2,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,
-1,3,1,2,1,4,-1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,1,1,3,-1]]],[[[2,1,1,1],[3,1,2,
-2,1,1,2,2,3,-1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2,3,1]]],[[[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,-1,3,-1]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,
2,2,3,1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2,3,1]]],[[[1,1,2,1],[3,2,1,1,2,-2,3,
1]]],[[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1,3,1,2,1,3,1]]],[[[1,1,2,1],[3,1,2,1,3,
2,2,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,1,4,-2,5,2,4,-2,3,
-1]],[[2,1,1,1],[2,2,1,1,2,1,3,3]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,1,1,2,
-1,4,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,-1,3,-2,5,-1,4,-1]]],[[[
1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,1,4,-2,5,2,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[
3,1,4,-1,2,-1,4,-1,1,1,2,-1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,1,1,
2,-1,4,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,3,2,1,4,-1]]],[[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[4,1,3,1,4,-1,2,-1,5,2,2,-1,3,1,4,1]],[[1,1,2,1],[2,1,
3,1],[4,1,2,1,1,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,
4,-1,1,1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,1,4,-2,5,2,4,-2,3,-1]],[[
2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,
3,-2,4,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,-1,1,1,2,-1,3,1,4,
1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,1,4,-2,5,2,4,-2,3,-1]],[[1,1,2,1],[2,
1,1,1],[2,1,4,-1,3,-1,4,2,3,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,1,1,2,-1,
4,-2,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,4,-3,3,-1,2,1,5,-2]],[[
1,1,2,1],[2,1,1,1],[3,1,4,2,2,1,1,1,2,1,3,2,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,
2,-1],[5,1,1,1,3,-1,4,1,2,1,3,2,4,-1,5,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,
3,1,1,4,1]],[[1,1,2,1],[2,-1,1,1,2,-1,3,2]],[[1,1,2,1],[2,1,3,1],[4,1,2,1,1,1,
4,1,3,1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[3,1,2,1,3,1],[4,1,6,1,5,2,6,1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,4,
-1,1,1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,4,2,3,-2,2,-1]]],[[[1,1,
2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,-1,4,1,2,2,3,1]],[[1,1,2,1],[2,1,3,1],[3,1,4,
2,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,-1,3,-1,4,1,2,-1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,2,4,2,3,-2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,-1,3,
-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1]],[[1,1,2,1],[2,1,1,
1],[2,1,3,2],[5,1,4,1,5,1,4,-1]]],[[[1,1,2,1],[2,1,3,1],[1,1,2,-1,3,1,4,2,3,1,
2,1,1,1]],[[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,
1,1,1,4,2,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,-1,3,1,2,1,3,
1]],[[1,1,2,1],[3,2,2,1,1,1,2,2,3,1]],[[1,1,2,1],[2,1,3,1],[4,1,2,1,1,1,4,-1,
3,-1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-2,2,-1,3,-1,4,-1]],[[1,1,2,
1],[2,1,3,1],[1,1,2,-1,3,1,4,1,1,1,2,-1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,
1,2,1,3,3,2,1,4,-1]],[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[1,1,2,1],[
2,1,1,1],[3,1,4,-1,2,-1,4,-1,1,1,2,-1,3,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,
-1,2,-1,1,1,2,-2,3,1,4,1]],[[1,1,2,1],[2,2,3,3,2,1,1,1]],[[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],[4,1,3,-1,2,-2,3,2,2,
1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[
1,1,2,-1],[3,1,4,-2,5,2,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,2,3,-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],[1,1,2,-1],[4,1,3,1,1,1,2,-2,4,1,2,-1,3,1]],[[1,1,2,1],[2,1,3,2,1,1,2,-1,1,
1,2,-1,3,2]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,1,4,-1,2,-1]],[[1,1,2,1],[2,1,
1,1],[3,1,4,3,3,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,1,4,-2,5,2,3,1,2,1,
3,1,4,1]],[[1,1,2,1],[2,1,3,1],[4,1,2,1,1,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,
1,2,1,3,3,1,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,1,2,1,3,1],[4,1,6,1,
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-2]]],[[[1,1,2,1],[2,1,3,2],[1,1,2,-1,4,-2]],[[1,1,2,1],[2,1,1,1,2,-1,3,-2,2,
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1]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]],[[2,-1,1,1,2,1]]],[[[1,1,2,1],[2,1,1,
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1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,
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2,1,1,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,1,3,1,4,-1,5,2,3,1]]],[[[1,1,
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1],[3,1,4,4,3,-1]],[[1,1,2,1],[2,1,1,1,3,-3,2,-2]],[[1,1,2,1],[2,1,3,1],[4,1,
2,1,1,1,4,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2],[4,1,5,1,4,1,5,1]],[[1,1,2,
1],[2,1,1,1],[4,1,3,-1,2,1,4,1,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,
4,2,2,2]],[[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],[4,1,3,1,4,-1,2,-1,1,1,2,-2,3,1]],[[1,1,2,1],[1,1,3,-3,2,-1]],[[1,1,2,1],[
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1,3,-2,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,1,1,3,-1,4,1]],[[1,1,2,1],[
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1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,-1,3,-1,5,1,3,1,4,-1]]],[[[1,1,2,
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2,2,1,1,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1,2,
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-1]]],[[[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,
2,-1,3,-2,2,1,3,1]],[[2,1,1,1],[2,2,1,1,2,1,3,3]]],[[[1,1,2,1],[1,1,2,-1],[4,
1,3,1,2,1,1,1,2,-1,3,-1,4,-2]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,-1,2,-1]],[[1,1,
2,1],[2,1,1,1],[2,2,3,1,4,-2,3,-1]]],[[[1,1,2,1],[2,1,3,1],[1,1,2,-1,3,1,4,2,
3,1,2,1,1,1]],[[1,1,2,1],[2,-2,3,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,1,4,3,3,
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3,-2,2,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1]],[[1,1,2,2,1,1,2,
2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-2,2,-1,3,-1,4,-1]],[[1,1,2,1],[2,1,1,
1],[4,1,2,1,3,3,1,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,1,1,2,-1,4,-2,
2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,2,1,1,2,-1,3,1,4,2]]],[[[1,1,2,1],[2,1,
1,1],[1,1,2,-1],[5,1,2,-1,3,1,4,1,5,-2,3,-1,2,-1,3,-1,4,-1]],[[1,1,2,1],[2,1,
1,1],[1,1,2,-1],[5,1,1,1,3,-1,4,1,2,1,3,2,4,-1,5,1]]],[[[1,1,2,1],[2,1,1,1],[
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1,3,2,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1]],[[1,1,2,1],[2,1,1,
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1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,
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1],[3,1,4,1,3,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,1,4,-1,2,-1,5,
2,3,1]],[[1,1,2,1],[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],[4,2,3,-1,5,2,3,1,2,1,3,1]],[[1,1,2,1],[1,1,2,-1,3,1,2,1,3,1,
1,1,2,-1,3,-1,2,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,1,4,1,3,-1]],[[1,1,2,
1],[3,1,2,1,3,3,2,1]]],[[[1,1,2,1],[1,1,2,-2,3,1,2,1,3,1,1,1,2,-1]],[[1,1,2,
1],[2,1,3,1],[4,1,3,2,4,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,1,4,3,3,-1]],[[
1,1,2,1],[1,1,2,-1,1,1,2,-1,3,1,2,1,3,1]]],[[[2,1,1,1],[1,1,2,-1,3,-3,2,-1,1,
1]],[[1,1,2,1],[2,1,3,1],[4,1,3,2,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,
4,1,3,-2]],[[1,1,2,1],[2,2,3,3,2,1,1,1]]],[[[1,1,2,1],[2,1,3,1,1,1,2,-1,1,1,2,
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3,1,2,1,3,1],[4,1,6,1,5,2,6,1,4,1]],[[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]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,1,2,1,3,1],[5,1,
6,1,4,2,6,1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,1,3,1,4,-1,5,2,3,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,4,-1,2,-1,1,1,2,-2,3,1]],[[1,1,2,1],[2,1,
1,1],[3,1,4,-1,2,-1,4,-1,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,
1,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1]],[[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,-1,3,1,2,1,4,-1,3,-1,4,1]]],[[[1,1,2,
1],[2,1,1,1],[1,1,2,-2,3,1,4,1,2,1,4,1,3,-1,4,1]],[[1,1,2,-1],[3,2,1,1,2,2,1,
1,2,2]],[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-1,2,-1,3,-1,2,1,1,1]]],[[[1,1,2,1],[3,
2,2,1,1,1,2,1,3,2]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1]],[[1,1,2,1],[1,1,2,-1,
1,1,2,-1,3,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1]],[[2,1,1,1],[3,
1,1,1,2,1,3,-1,2,-1]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,-2]]],[[[1,1,2,1],[2,1,1,
1],[3,1,2,1,4,-2,3,-2,2,-1]],[[2,1,1,1],[2,1,3,-1,2,-1,1,1,3,1,2,1,3,2]]],[[[
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1,1,1],[3,-1,4,2,3,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,1,1,2,-2,3,1,4,
1]],[[1,1,2,1],[1,1,2,-1,3,1,2,1,1,1,2,-1,3,2]],[[1,1,2,1],[1,1,2,-1],[4,2,3,
3,1,1,2,-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,-2,1,1,2,2,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,1,4,1,2,1,4,1,
3,-1,4,1]],[[1,1,2,-1],[3,2,1,1,2,2,1,1,2,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,4,
-1,2,-1,1,1,2,-2,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,4,3,-1]],[[1,1,2,1],[2,1,
3,1,2,1,1,1,2,2,3,1]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]],[[1,1,2,1],[1,1,
3,-3,2,-1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,2,1,3,1]]],[[[1,1,2,1],[1,1,2,-2,3,2,
1,1,2,-2]],[[1,1,2,1],[2,1,1,1,2,-1],[4,1,3,1,4,1,3,1]]],[[[1,1,2,1],[3,2,2,1,
1,1,2,-1,3,-1,2,-1]],[[1,1,2,-2,1,1,2,2]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,2,1,3,
1]],[[1,1,2,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,2,3,-2]],[[1,1,2,
1],[2,1,1,1],[4,1,3,1,2,1,3,1,4,2,3,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,4,3,
-1]],[[1,1,2,1],[2,2,3,3,2,1,1,1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,2,1,3,1]]],[[[
1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,1,2,1,4,-1]],[[1,1,2,1],[3,1,2,1,3,1,2,1,
1,1,2,2]]],[[[1,1,2,1],[1,1,2,-1,3,2,2,1,3,1]],[[2,1,1,1],[3,2,2,1,1,1]]],[[[
1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,3,1,4,-1,2,-1]],[[1,1,2,1],[2,2,1,1,2,-1,3,
-2,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,2,2,1,3,2]]],[[[1,1,2,1],[2,1,1,
1],[3,1,2,1,3,1,4,2,3,-1,4,1]],[[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],[4,1,2,1,3,3,1,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,
3,-1,2,-1,3,2,4,-1]],[[1,1,2,1],[3,1,1,1,2,-2,3,1,1,1]]],[[[1,1,2,1],[2,1,1,
1],[4,2,3,-3,2,-1]],[[1,1,2,-1,1,1,2,-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]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,3,1,1,1,4,
1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,1,1,2,-2,3,1,4,1]]],[[[1,1,2,1],[2,2,
3,3,2,1]],[[2,2],[3,1,1,1,2,2,1,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,-2,
3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,1,4,1,3,-1,4,1]]],[[[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],[1,1,2,-1,3,1,2,1,3,
2]]],[[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,1,3,-2,2,-1,4,-1]],[[1,1,2,1],[2,1,1,
1],[4,1,3,-2,4,2,2,-1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,5,1,3,-1,4,
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1],[3,2,2,1,1,1,2,-1,3,-1,2,-1]],[[2,2],[3,1,2,1,1,1,3,1]]],[[[1,1,2,1],[2,2,
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1,1,1,3,-1,4,-1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[
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1,1,2,1,1,1,3,-2]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1]]],[[[1,1,2,1],[2,1,1,
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2,3,1]],[[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],[
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1],[4,1,5,-2,4,-1]],[[1,1,2,1],[3,2,1,1,2,-2,3,1]]],[[[1,1,2,1],[2,2,3,3,2,1,
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1,4,-2,3,1,2,1,4,-2]],[[1,1,2,1],[2,1,1,1],[3,2,2,1],[4,1,5,-2,4,-1]]],[[[1,1,
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2,1],[2,1,1,1,3,-2,2,2,3,1]],[[1,1,2,1],[3,2,1,1,2,-1,3,-1,2,-2]]],[[[1,1,2,
1],[1,1,2,-1,1,1,2,-1,3,1,2,1,3,1]],[[1,1,2,1],[3,2,2,1,3,1,2,1,1,1,2,
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1],[1,1,2,-1],[3,1,4,-2,5,2,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,1,
1,2,-1,4,-2,2,-1]]],[[[2,1,1,1],[3,2,2,-2,1,1,2,2,3,-1,1,1,2,-1]],[[1,1,2,1],[
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1,2,-1,4,-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],[4,1,3,1,2,1,3,3,2,1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,-1,1,
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1,1,1,2,1,1,1,3,-2]],[[1,1,2,1],[2,1,3,1],[3,1,4,2,3,1]]],[[[1,1,2,1],[2,1,3,
1,1,1,2,-1,1,1,2,-2,3,1]],[[1,1,2,1],[2,1,1,1,3,-2,2,-2]],[[1,1,2,1],[2,1,3,
1],[3,1,4,2,3,1]]],[[[1,1,2,1],[2,1,1,1,3,-2,2,-2]],[[1,1,2,1],[3,1,1,1,2,1,1,
1,3,-2]],[[1,1,2,1],[2,1,3,1],[3,1,4,2,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,
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1],[3,1,1,1,2,1,1,1,3,-2]]],[[[1,1,2,1],[2,1,3,1,1,1,2,-1,1,1,2,-2,3,1]],[[1,
1,2,1],[2,1,1,1,3,-2,2,-2]],[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2]]],[[[1,1,2,1],[
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1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,2,
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2,1],[3,2,2,1,1,1,2,-1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,1,2,1,3,
1],[4,1,6,1,5,2,6,1,4,1]],[[1,1,2,1],[2,-1,3,3,2,1]],[[1,1,2,1],[2,1,1,1],[4,
2,2,-1,3,-2,2,2,1,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,-1,2,-1,3,-2,2,1,
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3,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1]]],[[[1,1,2,1],[2,1,1,1],[
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1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,4,2,3,-1]]],[[[1,1,2,1],[2,1,1,1],[
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1],[1,1,2,-1],[3,1,2,1,3,1],[4,1,6,1,5,2,6,1,4,1]],[[1,1,2,1],[1,1,2,-1,3,-2,
2,-1,1,1,3,-1,2,1,1,1]]],[[[1,1,2,1],[2,2,3,1,2,1,3,1]],[[1,1,2,-1,1,1,2,
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1],[2,2,1,1,2,1,3,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,
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2,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,-1,1,1,2,-1,3,1,4,1]],[[2,1,
1,1],[2,2,1,1,2,1,3,3]],[[1,1,2,1],[2,1,1,1],[2,1,3,2],[4,1,5,1,4,1,5,1]]],[[[
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1,2,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,3,4,2]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,
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3,-1,4,2,3,-1]],[[1,1,2,1],[2,2,3,1,2,1,3,1]]],[[[1,1,2,1],[1,1,3,-3,2,-1]],[[
1,1,2,-2,1,1,2,2,1,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1]]],[[[1,1,2,1],[2,2,
3,1,2,1,3,1,2,1,1,1]],[[1,1,2,1],[2,1,3,1],[4,1,2,1,1,1,4,1,3,1]],[[1,1,2,1],[
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1,1,2,-1]]],[[[1,1,2,1],[1,1,2,-1,3,2,2,1,3,1]],[[1,1,2,1],[1,1,3,-3,2,-1]],[[
2,2,1,1,2,-1,1,1,2,-1,1,1,2,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-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],[2,2,3,3,2,1,1,1]]],[[[
1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1]],[[1,1,2,1],[3,2,2,1,1,1,2,1,3,
2]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1]]],[[[1,1,2,1],[3,1,1,1,2,-2,1,1,2,-2,3,
1]],[[1,1,2,1],[3,2,2,1,1,1,2,2,3,1]]],[[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,
2]],[[1,1,2,1],[3,2,2,1,1,1,2,2,3,1]],[[1,1,2,1],[2,2,3,3,2,1,1,1]]],[[[1,1,2,
1],[3,2,2,1,1,1,2,1,3,2]],[[1,1,2,1],[3,1,2,1,3,3,1,1,2,-1]]],[[[1,1,2,1],[2,
1,1,1],[3,1,4,2,2,1,4,1,3,-1]],[[1,1,2,1],[2,1,3,1],[4,1,1,1,2,-1,4,-1,3,
-1]]],[[[1,1,2,1],[1,1,2,-2,3,3,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,
1,1,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1]],[[1,1,2,1],[3,
2,2,1,1,1,2,-1,3,-2]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1]]],[[[1,1,2,1],[2,1,1,
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2,2,1,1]]],[[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,-2,3,-1]],[[1,1,2,1],[1,1,2,-1,1,
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2,3,1,2,1,3,1,2,1,1,1]],[[1,1,2,1],[3,1,2,1,3,3,2,1]],[[1,1,2,1],[1,1,3,-3,2,
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2,1,3,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,3,
2,2,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,-1,1,1,2,-1,3,1,4,
1]],[[1,1,2,1],[2,1,1,1,2,-1,3,-2,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2],[4,
1,5,-2,4,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,1,4,-1,2,-1,5,2,3,
1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,
2],[5,1,4,1,5,1,4,-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],[1,1,2,-1,1,1,2,-1,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,1,
4,3,3,-1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,2,3,1]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,
4,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,2,3,1,4,-1,5,1,4,-1,3,-1,5,
-2]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,2,1,1,2,-1,3,1,4,2]]],[[[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],[2,1,1,1],[4,1,2,1,3,3,1,1,4,
1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,-1,3,-1,4,1,2,-1]],[[1,1,2,1],[3,
1,1,1,2,1,1,1,3,-1,2,-1,3,-1,2,1,1,1]]],[[[1,1,2,1],[1,1,2,-2,3,1,2,1,3,1,1,1,
2,-1]],[[1,1,2,1],[3,1,2,1],[3,1,4,1,3,1,4,1]]],[[[1,1,2,1],[1,1,2,-1,3,3,2,1,
1,1]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,-1,2,-1]]],[[[1,1,2,1],[2,1,3,3,1,1,2,
-2]],[[1,1,2,1],[2,1,3,1],[3,1,4,2,3,1]]],[[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,2,
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3,-1,4,1,2,1,4,1,3,-1,4,1]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,4,1,3,1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,3,-1,2,-2,3,2,2,1,4,-1]],[[1,1,2,1],[3,1,2,1,3,1,1,1,2,-1,3,
-2]]],[[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,2,2,-1,3,-2]],[[1,1,2,1],[2,1,3,1],[3,
1,4,2,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,1,2,1,4,-2]],[[1,1,2,1],[3,2,1,
1,2,-2,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,4,3,-1]],[[1,1,2,1],[1,1,2,-1,3,2,
2,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-2,3,-2]]],[[[1,1,2,1],[3,1,1,1,2,-2,3,
1,1,1]],[[1,1,2,1],[2,1,3,1,2,2,3,1]]],[[[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,-2,3,1,2,1,1,1,2,-1,3,1]]],[[[1,1,2,1],[2,1,1,1,3,-2,
2,2,3,1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2,3,1]]],[[[1,1,2,1],[3,1,2,1,3,1,1,1,2,
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2,1,1,1],[4,1,2,1,3,3,1,1,4,1]]],[[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,2]],[[2,1,
1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[1,1,2,1],[2,2,3,3,1,1,2,-1]]],[[[1,1,
2,1],[2,1,3,1],[4,1,3,2,4,1]],[[1,1]],[[1,1,2,1],[2,1,3,1,1,1,2,-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],[4,1,2,1,3,3,
1,1,4,1]],[[1,1,2,1],[3,1,2,1,3,3,2,1]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1]],[[
1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]]],[[[1,1,2,1],[3,2,1,1,2,-1,3,1,2,1,3,
1]],[[2,1,1,1],[3,1,1,1,2,1,3,-1,2,-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],[4,1,2,1,3,3,1,1,4,1]],[[1,1,2,1],[
2,1,3,1],[3,1,4,-1,1,1,2,-1,1,1,2,-1,3,1,4,1]]],[[[2,1,1,1],[3,2,2,1,1,1]],[[
2,2],[3,1,2,1,1,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,1,2,1,4,-1]],[[2,1,1,
1],[3,1,2,-2,1,1,2,2,3,-1]]],[[[1,1,2,1],[1,1,2,-2,3,2,1,1,2,-2]],[[1,1,2,1],[
3,2,2,1,1,1,2,-1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,3,-1,4,2,3,-1]],[[1,1,2,
1],[2,1,3,1,2,2,3,1]]],[[[1,1,2,-1,1,1,2,2,1,1,2,2]],[[1,1,2,1],[1,1,3,-3,2,
-1]]],[[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,4,1,3,-1,2,-1,3,-1]],[[1,1,2,1],[2,
1,1,1],[3,2,4,1,2,1,4,-1]]],[[[2,1,1,1],[2,1,3,2,2,1,1,1,2,1]],[[2,1,1,1],[3,
2,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,4,2,3,-1]],[[1,1,2,1],[2,1,3,1,2,
1,1,1,2,2,3,1]]],[[[1,1,2,1],[1,1,2,-2,3,2,1,1,2,-2]],[[2,1,1,1,2,-1,1,1,2,
1]]],[[[1,1,2,1],[1,1,2,-2,3,2,1,1,2,-2]],[[1,1,2,1],[2,1,1,1,2,-1],[4,1,3,1,
4,1,3,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]]],[[[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,-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],[2,2,3,3,2,1,1,1]],[[1,1,2,1],[1,1,2,-1,3,2,2,1,3,
1]]],[[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,2,-1,3,1]],[[1,1,2,-1,1,1,2,-1,1,1,2,
2]]],[[[1,1,2,1],[2,2,1,1,3,-1,2,2,3,1]],[[1,1,2,1],[1,1,2,-1,3,3,2,1,1,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,4,2,3,-1]],[[1,1,2,1],[3,2,2,1,1,1,2,2,3,
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]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,4,3,-1]],[[1,1,2,1],[2,1,3,1,2,1,1,
1,2,2,3,1]],[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,
3,-1,2,-1,3,2,4,-1]],[[1,1,2,-1,1,1,2,1,1,1]],[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,
1,1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2]]],[[[1,1,2,1],[3,2,1,1,2,-1,3,-1,2,
-2]],[[2,1,1,1],[1,1,2,1,3,-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],[3,1,4,4,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,
2,-1,3,2,4,-1]],[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[
2,2,3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,1,4,1,3,-1,4,1]],[[1,1,2,
1],[2,1,3,1,2,1,1,1,2,2,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,
-1]],[[1,1,2,1],[3,2,2,1,1,1,2,1,3,2]],[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,
1]]],[[[1,1,2,1],[2,2,3,3,2,1]],[[1,1]],[[2,2],[3,1,1,1,2,2,1,1,3,1]]],[[[1,1,
2,1],[2,1,1,1],[2,1,3,3,4,2]],[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]],[[2,1,1,
1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]]],[[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1,3,
1]],[[2,1,1,1,2,-1]],[[1,1,2,-2,1,1,2,2,1,1]]],[[[1,1,2,1],[2,1,1,1],[2,2,3,1,
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,
1,1,2,2,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,2,4,-1]],[[1,1,2,-1,1,1,
2,1,1,1]],[[2,2],[3,1,2,1,1,1,3,1]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]],[[
1,1,2,1],[2,1,1,1,2,-1],[4,1,3,1,4,1,3,1]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,
-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,2,2,1,3,2]],[[2,1,1,1],[1,1,2,-1,3,-1,1,1,
2,1,1,1,3,1]],[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,2]]],[[[1,1,2,1],[2,1,1,1,2,
-1],[3,1,4,1,3,1,4,1]],[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[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],[3,1,4,2,3,1]],[[2,-1,1,1,2,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,
1,1,4,1]],[[2,2],[3,1,1,1,2,2,1,1,3,1]],[[1,1,2,1],[3,1,2,1,3,3,2,1,1,1]]],[[[
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1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,
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1,1,1,2,-1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1]],[[1,1,2,
1],[3,1,1,1,2,-2,3,1,1,1]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1]]],[[[1,1,2,1],[
2,1,3,1,1,1,2,-1,1,1,2,-2,3,1]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]],[[1,1,2,
1],[2,1,1,1],[3,1,4,-1,2,-1,3,1,4,1]]],[[[1,1,2,1],[1,1,2,-2,3,2,2,1,1,1,2,
-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,2,2,3,1]]],[[[1,1,2,1],[1,1,2,-2,3,2,2,1,1,
1,2,-1]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,-1,2,-1]],[[1,1,2,1],[2,2,3,3,2,1,1,
1]]],[[[1,1,2,1],[1,1,2,-2,3,3,2,1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,1,1,2,-1,3,
1]]],[[[1,1,2,1],[3,1,1,1,2,-2,1,1,2,-2,3,1]],[[1,1,2,1],[1,1,3,-3,2,-1]],[[1,
1,2,1],[2,1,1,1,2,-1],[4,1,3,1,4,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,
1,4,1,3,1,4,-1,5,2,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-2,2,-2,4,-1]],[[1,
1,2,1],[1,1,2,-1,3,-2,2,-1,1,1,3,-1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,
3,1,4,3,3,-1]]],[[[1,1,2,1],[2,1,1,1],[3,2],[5,1,4,-2,5,-1]],[[1,1,2,1],[2,2,
3,2,2,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,1,1,3,-1,4,1]],[[1,1,2,1],[2,1,
1,1,3,-2,2,2]],[[1,1,2,1],[3,1,1,1,2,1,1,1,2,1,3,1]]],[[[1,1,2,1],[2,1,1,1,3,
-3,2,-2]],[[1,1,2,1],[3,2,2,1,1,1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-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],[3,1,2,1,1,1,
2,-1,3,-1]]],[[[1,1,2,1],[3,3,1,1,2,1,1,1]],[[1,1,2,1],[2,2,3,2,2,1]]],[[[1,1,
2,1],[1,1,2,-1],[2,1,1,1,3,-2],[4,1,5,-1,4,1,5,-1]],[[1,1,2,1],[2,1,1,1],[3,1,
1,1,4,2,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1]]],[[[1,1,2,1],[1,
1,2,-1],[2,1,1,1,3,1,2,1,3,1],[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]]],[[[1,1,2,1],[2,1,1,1,3,-3,2,-2]],[[1,1,
2,1],[3,1,1,1,2,1,1,1,2,1,3,1]],[[1,1,2,1],[1,1,3,-3,2,-1]]],[[[1,1,2,1],[2,1,
1,1],[1,1,3,-1,4,3,3,-1]],[[1,1,2,1],[3,1,2,1,1,1,3,-2,2,-1]]],[[[1,1,2,1],[2,
1,1,1],[2,2,3,2,4,2]],[[1,1,2,1],[2,1,1,1],[3,1,4,4,3,-1]]],[[[1,1,2,1],[2,1,
1,1],[3,1,4,3,3,-1]],[[2,1,1,1],[3,2,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,
1,3,2,1,1,2,-1,3,1,4,2]],[[1,1,2,1],[2,1,1,1],[3,1,4,3,3,2,2,1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1]],[[2,1,1,1],[2,1,3,1,2,1,3,-1,2,-1,1,1,3,
1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1]],[[1,1,2,1],[2,1,1,1],[3,3,4,2]]],[[[1,
1,2,1],[2,1,1,1,2,-2,3,2,2,1]],[[1,1,2,1],[3,2],[4,1,1,1,2,-1,4,-1]]],[[[1,1,
2,1],[3,1,2,1,1,1,2,-1,1,1,2,-1,3,1]],[[1,1,2,1],[3,2,2,1,1,1,2,2,3,1]]],[[[1,
1,2,1],[3,1,1,1,2,-2,3,2]],[[2,1,1,1],[2,1,3,-1,2,-1,1,1,2,1,3,1]]],[[[1,1,2,
1],[1,1,2,-2,3,2,2,1,1,1,2,-1]],[[1,1,2,1],[3,1,2,1,3,3,2,1]]],[[[1,1,2,1],[2,
1,3,1],[4,1,2,1,1,1,4,1,3,1]],[[1,1,2,1],[3,1,2,1,3,1,1,1,3,-1]]],[[[1,1,2,
1],[1,1,2,-1],[2,1,1,1,3,-2,2,-1,4,2,3,1]],[[1,1,2,1],[1,1,2,-1,3,1,2,1,3,1,1,
1,2,-1,3,-1,2,-2]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1,2,-1,3,-1]],[[1,1,2,
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1],[3,1,1,1,2,1,1,1,3,-2]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,-2]]],[[[2,1,1,1],[
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1]],[[1,1,2,1],[1,1,2,-1,3,2,2,1,1,1]]],[[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,
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1,3,3,1,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,2,3,-2,2,-1,3,-1]],[[2,1,1,1],[1,1,
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1],[2,2,1,1],[4,1,3,-1,4,1,3,-1]]],[[[1,1,2,1],[3,3,1,1,2,1,1,1]],[[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]],[[2,1,1,1],[3,2,2,1,1,
1]]],[[[2,2,1,1,2,-1,1,1,2,-1,1,1,2,1]],[[1,1,2,-1,1,1,2,-1]]],[[[1,1,2,1],[2,
1,3,1],[4,1,2,1,1,1,4,1,3,1]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]],[[1,1,2,1],[
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-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,-1,1,1,2,-1,3,1,4,1]],[[1,1,2,
1],[1,1,2,-1],[4,1,3,1,1,1,2,-2,4,1,2,-1,3,1]],[[1,1,2,1],[2,1,1,1,2,-1,3,-2,
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-2]]],[[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,3,1],[4,1,3,
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4,1,2,1,1,1]],[[2,1,1,1],[1,1,2,-1,3,-3,2,-1,1,1]]],[[[1,1,2,1],[2,1,1,1],[4,
1,3,-2,4,2,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-2,2,-1,3,-1,4,-1]],[[
1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,-1,
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4,-2,5,-1]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,1,1,2,-1,3,1]]],[[[1,1,2,1],[2,1,3,
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3,1,4,-2,3,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,1,2,1,4,-2]],[[1,1,2,1],[3,
2,1,1,2,-2,3,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1],[4,1,5,2,4,-1]]],[[[1,1,2,1],[
2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1]],[[2,2],[3,1,2,1,1,1,3,1]],[[1,1,2,1],[3,1,
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3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,3,1,2,2,3,1]],[[1,1,2,1],[1,1,3,-1,2,2,1,1,3,
-1]]],[[[1,1,2,1],[2,1,1,1,3,-2,2,-2]],[[2,-1,1,1,2,1]],[[1,1,2,1],[2,1,3,1],[
3,1,4,2,3,1]]],[[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]],[[1,1,2,1],[2,1,3,1,2,1,
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3,1]]],[[[1,1,2,1],[3,2,1,1,2,-1,3,-1,2,1,1,1]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,
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2,2,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,4,3,-1]],[[2,1,1,1],[3,2,2,1,1,
1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-2,3,-2]]],[[[1,1,2,1],[2,1,3,2,2,1,1,1,2,
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1,2,1,1,1,2,2,3,1]]],[[[1,1,2,1],[2,1,1,1,2,-1],[4,1,3,1,4,1,3,1]],[[1,1,2,
1],[3,1,1,1,2,1,1,1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,1,2,1,4,-1]],[[2,1,1,
1],[3,1,2,-2,1,1,2,2,3,-1]],[[1,1,2,1],[2,2,3,3,2,1,1,1]]],[[[1,1,2,1],[1,1,2,
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1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1]],[[1,1,2,1],[2,1,1,1],[3,
2,4,1,2,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,2,4,2]],[[1,1,2,1],[2,1,3,
1],[4,1,2,1,1,1,4,1,3,1]]],[[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1]],[[1,1,2,1],[3,
2,2,2,3,1]],[[1,1,2,-1,1,1,2,2,1,1,2,-1]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,
1]],[[1,1,2,1],[3,2],[4,2,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,4,3,-1]],[[
2,1,1,1],[3,2,2,1,1,1]],[[1,1,2,1],[1,1,3,-1,2,1,1,1,2,1,3,2]]],[[[1,1,2,1],[
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4,1,3,1,4,1,3,1]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1]],[[1,1]]],[[[1,1,2,1],[2,
1,1,1],[3,1,4,3,3,-1]],[[2,1,1,1,2,2,1,1,2,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,
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2,1]]],[[[2,1,1,1],[1,1,2,-2,3,-1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,3,1],[3,1,4,2,
3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,1,4,1]],[[1,1,2,1],[2,1,3,1],[3,1,4,
2,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,1,2,1,4,-1]],[[1,1,2,1],[3,1,
1,1,2,-2,3,1,1,1]],[[1,1,2,1],[1,1,2,-2,3,1,1,1,2,-1,3,-1]]],[[[1,1,2,1],[2,1,
3,2,2,1,1,1,3,-1]],[[1,1,2,1],[3,3,2,1,1,1,2,-1]]],[[[1,1,2,1],[3,2,1,1,2,-2,
3,-2]],[[1,1,2,1],[2,1,3,2,2,1,1,1,2,-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,-2,2,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,4,
2,3,-1]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,2,3,
1,4,-2,3,-1]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-1,1,1,2,-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],[1,1,2,-1,3,-2,2,-1,
1,1,3,-1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1,3,-3,2,-2]],[[1,1,2,1],[3,2,2,1,1,1,
2,1,3,2]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,2,
1,3,1]],[[2,2],[3,1,2,1,1,1,3,1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1]]],[[[1,1,
2,1],[2,1,3,1,2,1,1,1,2,2,3,1]],[[1,1,2,1],[2,2,3,2,2,1]],[[1,1,2,1],[3,3,1,1,
2,1,1,1]]],[[[1,1,2,1],[2,1,1,1,3,-3,2,-2]],[[1,1,2,1],[3,2,2,1,1,1,2,1,3,
2]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,2,3,-1,2,1,4,
1,3,-1]],[[1,1,2,1],[2,-2,3,2]],[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]]],[[[1,1,
2,1],[3,2,2,1,1,1,2,1,3,2]],[[1,1,2,1],[3,1,2,1,3,3,1,1,2,-1]],[[1,1]]],[[[1,
1,2,1],[2,1,1,1],[3,1,1,1,4,2,2,1,3,2]],[[2,1,1,1],[1,1,2,-1,3,-1,2,-1,1,1,2,
1,3,2]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,
1,2,1,4,-1,3,2,4,-1]],[[1,1,2,1],[1,1,2,-1,3,3,2,1,1,1]]],[[[2,1,1,1],[2,2,3,
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22,23,27,36,54,57,64,89],[1,2,4,6,7,15,21,22,24,28,36,53,57,62,90],[1,2,4,5,7,
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27,37,50,54,58,60,63,92],[1,2,3,4,7,10,11,12,13,14,15,16,21,24,28,29,30,31,32,
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31,32,33,34,35,45,54,56,72,73,74,94],[1,2,3,4,5,10,11,12,13,14,15,16,18,19,20,
29,30,31,32,33,34,35,43,44,48,49,50,51,52,56,70,71,75,76,77,78,81,95],[1,4,5,
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37,38,39,40,59,61,62,66,84,97],[1,3,5,6,7,8,9,18,23,26,27,36,37,38,39,40,58,
63,64,67,84,98],[1,4,7,10,17,21,41,42,99],[1,4,6,11,17,22,41,45,100],[1,4,5,
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46,48,50,61,71,79,87,102],[1,2,3,4,5,6,8,11,14,15,18,19,20,27,30,37,43,45,47,
48,49,63,70,74,88,103],[1,3,4,5,6,8,11,13,16,18,20,23,26,35,37,43,45,47,50,51,
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88,105],[1,4,5,7,9,10,11,12,20,21,31,38,42,43,44,46,52,65,69,76,87,106],[1,2,
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6,7,8,9,16,18,20,21,22,23,26,27,36,37,38,39,40,50,54,57,58,60,63,64,65,67,84,
89,92,96,98,109],[1,2,4,5,6,7,8,9,15,19,20,21,22,24,25,28,36,37,38,39,40,49,
53,57,59,60,61,62,65,66,84,90,91,96,97,110],[1,4,5,6,7,8,9,12,20,21,22,36,37,
38,39,40,52,57,60,65,84,86,96,111],[1,3,4,6,11,13,16,17,22,23,27,35,41,45,54,
68,73,100,112],[1,2,4,7,10,13,15,17,21,24,28,34,41,42,53,68,80,99,113],[1,2,3,
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93,95,102,106,107,114],[1,2,3,4,5,6,8,10,11,12,13,14,15,16,18,19,20,22,23,26,
27,29,30,31,32,33,34,35,37,43,44,45,47,48,49,50,51,52,54,56,58,60,63,70,71,72,
73,74,75,76,77,78,81,82,88,92,94,95,103,104,105,115],[1,4,5,6,8,11,17,20,22,
37,41,43,45,47,55,60,85,88,100,116],[1,4,5,7,9,10,17,20,21,38,41,42,44,46,55,
65,85,87,99,117],[1,2,3,4,5,6,7,8,9,12,15,16,18,19,20,21,22,23,24,25,26,27,28,
33,36,37,38,39,40,49,50,52,53,54,57,58,59,60,61,62,63,64,65,66,67,81,84,86,89,
90,91,92,96,97,98,108,109,110,111,118],[1,4,6,7,10,11,12,17,21,22,31,36,41,42,
45,57,69,72,86,99,100,119],[1,3,4,5,6,8,11,13,16,17,18,20,22,23,26,27,35,37,
41,43,45,47,50,51,54,55,58,60,63,68,73,78,82,85,88,92,100,101,104,112,116,
120],[1,2,4,5,7,9,10,13,15,17,19,20,21,24,25,28,34,38,41,42,44,46,49,51,53,55,
59,61,65,68,77,80,83,85,87,91,99,101,107,113,117,121],[1,2,3,4,6,7,10,11,12,
13,14,15,16,17,21,22,23,24,27,28,29,30,31,32,33,34,35,36,41,42,45,53,54,56,57,
62,64,68,69,72,73,74,79,80,86,89,90,93,94,99,100,108,112,113,119,122],[1,4,5,
6,7,8,9,10,11,12,17,20,21,22,31,36,37,38,39,40,41,42,43,44,45,46,47,52,55,57,
60,65,69,72,76,84,85,86,87,88,96,99,100,105,106,111,116,117,119,123],[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]],
0,[[1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,3,1],[1,3,1],[1,1,
1],[1,1,1],[1,1,1,1,1],[1,2,1,1],[1,2,1,1],[1,1],[1,3,1,1],[1,3,1,1],[1,1,1,
1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,1,1,1],[1,1,
1,1],[1,1,3,3,1,3,3,1],[1,3,1,3,1,3,3,1],[1,5,1,1,1,1],[1,1,1,1,1,1,1,1],[1,2,
2,1,1,1,1,1],[1,2,3,1,1,1,1],[1,2,3,1,1,1,1],[1,2,2,1],[1,1,1,2,1],[1,1,1,2,
1],[1,1,1,2,1],[1,1,2,1,1],[1,5,1,1],[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],[1,3,3,1,1,3,1,1,1,1],[1,6,1,1,3,2,1,1],[1,
6,1,1,3,2,1,1],[1,1,1,3,1,1],[1,1,1,1,1,1],[1,4,3,1,3,1,1,1,1],[1,4,3,1,3,1,1,
1,1],[1,1,1,1],[1,3,3,5,1,1,1,1,5,3,3,1,1,1,1,1,1,1,1],[1,9,2,2,6,6,1,1],[1,9,
1,1,2,3,3,6,1,1],[1,9,1,1,2,3,3,6,1,1],[1,3,1,1,2,3,1,1,1],[1,3,1,1,2,1,3,1,
1],[1,3,2,2,1,3,1,1],[1,3,1,1,2,1,3,1,1],[1,3,2,2,1,3,1,1],[1,3,1,1,2,3,1,1,
1],[1,3,1,2,1,1,3,1,1],[1,3,1,1,2,1,3,1,1],[1,5,5,1,1,1],[1,9,4,1,3,3,4,3,1,
1],[1,9,3,3,1,1,9,9,1,3,3,3,1,3,3,1],[1,3,9,3,1,1,9,9,3,1,3,3,1,3,3,1],[1,9,4,
3,1,3,4,3,1,1],[1,6,3,4,1,3,3,4,3,1,1],[1,3,1,3,4,1,3,3,4,1,1,1],[1,3,3,1,1,1,
3,3,1,1,1,3,1,1,1,1],[1,5,1,1,1,1,5,1,1,1,1,1],[1,6,3,1,1,3,3,2,3,3,1,1,1,1],[
1,6,3,1,1,3,3,2,3,3,1,1,1,1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,6,3,4,1,3,3,4,3,1,
1],[1,6,6,1,1,1,3,3,2,2,1,3,1,1,1,1],[1,6,3,4,1,3,3,4,3,1,1],[1,6,3,4,1,3,3,4,
3,1,1],[1,1,2,2,4,4,1,2,2,4,4,1],[1,5,1,1,5,1,1,1],[1,9,2,2,9,6,6,1,1,1],[1,3,
1,4,8,1,3,4,1,1,2,1],[1,3,1,4,8,1,3,4,1,1,2,1],[1,6,9,2,2,9,6,6,2,6,1,6,1,2,
1],[1,6,9,2,2,9,6,6,2,6,1,6,1,2,1],[1,12,3,1,1,2,9,4,3,1,3,6,3,1,3,3,1,1,1,
1],[1,12,3,1,1,2,9,4,3,1,3,6,3,1,3,3,1,1,1,1],[1,7,3,9,4,1,3,3,3,9,9,3,4,4,4,
1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,3,7,9,4,3,1,3,3,9,3,9,4,4,4,3,1,3,3,3,3,3,1,4,
3,1,1,1,1],[1,9,9,5,1,1,1,1,3,15,9,9,3,3,5,3,3,1,3,3,3,3,1,1,5,3,3,1,1,3,1,1,
1,1,1,1,1,1],[1,9,1,2,2,4,4,9,6,6,1,2,2,4,4,1,6,6,1,1],[1,9,1,2,2,4,4,3,3,6,9,
1,2,2,4,4,1,3,3,6,1,1],[1,9,1,2,2,4,4,3,3,6,9,1,2,2,4,4,1,3,3,6,1,1],[1,15,10,
5,6,10,6,5,1],[1,15,10,5,6,10,6,5,1],[1,5,1,15,1,5,1,5,1,3,1,1],[1,3,9,3,1,4,
8,1,9,9,3,1,3,12,3,4,1,1,2,3,3,4,1,3,1,1],[1,9,3,3,1,4,8,1,9,9,1,3,3,12,3,4,1,
1,2,3,3,4,1,3,1,1],[1,18,3,1,4,8,1,9,9,6,3,12,24,9,4,1,1,2,3,3,4,3,3,6,1,1],[
1,9,1,4,8,3,1,3,9,4,3,4,1,3,1,2,3,4,1,3,1,1],[1,9,1,4,8,1,3,3,9,4,3,4,1,3,1,2,
3,4,1,3,1,1],[1,18,3,1,4,8,1,9,9,6,3,12,24,9,4,1,1,2,3,3,4,3,3,6,1,1],[1,6,6,
9,2,2,9,9,9,6,6,2,2,6,6,9,1,6,6,1,2,2,1,1,1,1],[1,18,9,1,2,2,4,4,27,6,9,6,6,6,
12,18,1,2,2,4,4,9,18,1,2,6,6,6,6,12,1,3,6,1,2,1],[1,18,9,1,2,2,4,4,27,6,9,6,6,
6,12,18,1,2,2,4,4,9,18,1,2,6,6,6,6,12,1,3,6,1,2,1],[1,9,1,2,2,4,4,9,9,6,6,1,2,
2,4,4,9,1,6,6,1,1,1,1],[1,10,15,10,5,15,15,6,10,10,10,15,6,5,10,6,5,1,1],[1,
10,15,10,5,15,15,6,10,10,10,15,6,5,10,6,5,1,1],[1,21,9,9,1,4,8,1,3,3,9,27,27,
9,3,7,9,4,12,24,12,3,9,3,9,9,9,9,4,1,3,1,2,9,9,3,3,3,12,9,4,4,4,1,3,1,3,3,3,3,
3,3,3,6,1,4,3,3,1,1,1,1],[1,9,21,9,1,4,8,3,1,3,9,27,9,27,7,3,9,4,12,24,12,9,3,
3,9,9,9,9,4,1,3,1,2,9,3,9,3,3,12,9,4,4,4,1,3,1,3,3,3,3,3,3,3,6,1,4,3,3,1,1,1,
1],[1,15,1,10,20,5,6,15,10,10,6,5,5,10,6,10,6,5,1,1],[1,15,1,10,20,5,6,15,10,
10,6,5,5,10,6,10,6,5,1,1],[1,18,18,9,1,2,2,4,4,9,27,27,6,6,9,6,6,6,6,12,12,18,
18,27,1,2,2,4,4,9,9,9,18,18,1,2,2,6,6,6,6,6,6,12,12,9,1,1,3,3,6,6,1,2,2,3,1,1,
1,1],[1,45,20,20,15,15,45,36,60,60,45,10,36,15,15,10,15,15,10,6,6,1],[1,30,15,
1,10,20,5,45,45,6,10,15,10,30,60,30,45,10,6,5,5,10,15,15,30,6,10,10,10,18,15,
15,30,6,5,10,1,6,5,3,1,1],[1,30,15,1,10,20,5,45,45,6,10,15,10,30,60,30,45,10,
6,5,5,10,15,15,30,6,10,10,10,18,15,15,30,6,5,10,1,6,5,3,1,1],[1,15,15,45,20,
20,15,15,45,45,45,45,45,36,60,60,20,20,60,60,15,15,45,45,45,45,45,10,36,15,15,
60,60,45,10,20,20,36,15,15,15,15,15,15,10,10,10,15,15,6,6,10,6,6,1,1],[1,45,1,
20,20,40,40,15,15,45,36,45,60,60,45,10,20,20,40,40,36,15,15,15,15,30,30,45,36,
10,60,60,15,15,45,10,36,10,15,15,10,6,6,15,15,10,6,6,1,1],[1,45,45,45,1,20,20,
40,40,15,15,45,135,135,135,135,36,15,15,45,60,60,60,60,120,120,180,180,45,45,
45,135,135,135,135,10,20,20,40,40,36,15,15,15,15,30,30,45,45,45,45,45,180,180,
36,135,10,20,20,60,60,60,60,60,60,120,120,108,15,15,15,15,45,45,45,45,45,45,
45,45,45,90,90,10,36,10,15,15,30,30,60,60,45,45,45,10,20,20,6,6,36,15,15,15,
15,15,15,30,10,10,10,18,18,15,15,6,6,10,1,6,6,3,1,1]],
[1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,5,6,6,6,6,6,6,6,6,6,6,6,8,8,8,8,8,8,8,9,9,9,
9,9,10,12,12,12,12,12,12,12,12,12,12,12,12,12,15,16,18,18,18,18,18,18,18,18,
18,18,18,20,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,27,30,36,36,36,36,36,
36,36,48,48,48,54,54,54,60,60,60,72,72,72,72,72,72,72,108,108,108,120,120,144,
144,180,180,216,360,360,360,720,1080,2160],
[124,93,94,95,124,109,110,98,97,114,115,95,56,56,56,56,101,115,114,95,91,92,
89,90,66,67,54,53,93,94,95,56,56,56,56,118,109,110,98,97,101,114,115,114,115,
107,104,95,95,95,95,95,53,54,101,56,118,109,110,92,91,90,92,89,91,66,67,68,
114,115,114,115,94,94,95,95,95,95,93,93,95,82,83,118,101,118,114,115,108,108,
91,92,93,94,95,118,110,109,121,120,101,114,115,115,115,114,114,108,118,118,
118,112,113,114,115,120,121,118,124,120,121,122,124,124],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,5,5,1,7,6,6,7,9,8,1,1,1,1,4,1,4,4,4,1,1,1,
1,1,17,10,1,1,11,10,11,5,5,5,5,1,7,6,1,4,36,37,38,6,5,7,5,6,7,9,8,17,42,5,5,
45,45,11,5,4,20,20,10,42,20,47,46,1,17,36,10,11,36,36,38,37,42,45,20,36,38,37,
99,100,55,44,43,88,45,42,87,57,84,84,36,100,99,87,88,100,99,96,119,116,117,
119,119,123],
[(1,8)(2,3),(1,5,8)(3,6,9,4,7)],
[[[[]]],[[[2,1,1,1],[1,1,2,-1,3,-2]]],[[[1,1]]],[[[1,1,2,1],[3,2,1,1,2,-1,1,1,
2,-1]]],[[[2,5]]],[[[1,1,2,1],[2,3,3,2]]],[[[2,1,1,1,2,1,1,1]]],[[[2,1,1,1,2,
-1,1,1]]],[[[1,1,2,-2,1,1,2,3]]],[[[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],[1,1,2,-2,3,2,1,1,2,-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]]],[[[2,1,1,1],[1,1,2,1,3,
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1,1,2,-1,3,-2]]],[[[2,3]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,-2]],[[2,5]]],[[[1,
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4,1]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,3,2,2,1]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,4,
1,2,1,1,1]]],[[[1,1,2,1],[2,2,1,1],[3,1,4,-1,3,1,4,-1]],[[1,1,2,1],[2,2,3,1,2,
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2,1],[2,1,1,1],[3,1,2,1,4,-1,3,2,4,-1]],[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,
1]]],[[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[1,1,2,1],[3,2,2,1,1,1,2,
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1,2,-2,3,2,1,1,2,-2]],[[2,2],[3,2,2,1,1,1]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,
-2]]],[[[1,1,2,1],[3,1,1,1,2,-2,1,1,2,-2,3,1]],[[1,1,2,1],[3,2,1,1,2,1]],[[1,
1,2,1],[3,1,2,3,1,1,3,-1,2,-1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,2,3,1]],[[2,1,1,1,
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2]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,-2]],[[1,1,2,1],[3,2,2,3,3,1]]],[[[1,1,2,
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-2,3,2]],[[2,5]]],[[[2,1,1,1,2,-2,1,1,2,2]],[[2,5]]],[[[2,3,1,1,2,-1,1,1,2,
1]],[[2,2,1,1,2,-2,1,1]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,3,2,2,1]],[[1,1,2,-1,1,
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1],[3,1,1,1,2,-2,3,2]],[[1,1,2,1],[3,2,1,1,2,-2,3,1]]],[[[1,1,2,-3,1,1,2,
2]],[[1,1,2,3,1,1,2,-2]]],[[[1,1,2,1],[3,2,2,1,1,1,2,2,3,1]],[[1,1,2,1],[3,2,
2,2,3,2]]],[[[1,1,2,1],[1,1,2,-2,3,2,1,1,2,-2]],[[2,5]],[[1,1]]],[[[1,1,2,1],[
1,1,2,-2,3,2,1,1,2,-2]],[[2,5]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]]],[[[1,1,
2,1],[1,1,2,-2,3,2,1,1,2,-2]],[[2,5]],[[2,1,1,1],[3,1,2,2,3,-1,2,-1,1,1,2,
-1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1]],[[2,5]]],[[[1,1,2,1],[3,1,2,1,3,1]]],[[[
1,1,2,1],[3,1,2,3,1,1,3,-1,2,-1]],[[1,1,2,1],[1,1,2,-1,3,2,1,1,2,-1]]],[[[1,1,
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1],[3,1,2,1,1,1,2,-1,3,-1]]],[[[2,-1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,
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6,12,16,22,33],[1,3,4,6,13,14,24,34],[1,2,4,5,6,15,16,20,35],[1,3,5,6,11,13,
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2,-4]],[[1,-1,2,1,1,1,2,1,1,-1]]],[[[1,-1,2,2,1,-1,2,-2]],[[2,1,1,-1,2,-1]],[[
1,1,2,1],[3,1,1,1,2,1,3,1]]],[[[2,1,1,1],[3,1,2,-1,1,-1,3,1]],[[1,-1,2,1,1,-1,
2,1]],[[2,-4]]],[[[1,1,2,1],[3,1,2,1,1,-1,3,-1]],[[1,-1,2,1]]],[[[2,2,1,1,2,1,
1,1,2,-1]],[[1,-1]]],[[[1,1,2,1,1,1,2,1]],[[2,-4]],[[2,1,1,1,2,1,1,1]]],[[[2,
1,1,1,2,1,1,-1]],[[1,-1,2,1,1,1,2,1]]],[[[2,-4,1,-1]],[[2,1,1,1,2,1]]],[[[1,1,
2,1,1,-1,2,1,1,1]],[[1,1,2,-1,1,1,2,1]],[[1,-1,2,1,1,-1,2,1]]],[[[2,3]],[[1,
-1,2,-1,1,-1]]],[[[1,1,2,2,1,-1,2,1]],[[1,-1,2,2,1,1,2,1]],[[1,1,2,-1,1,-1,2,
-1,1,1]]],[[[1,1,2,1,1,-1,2,1,1,1]],[[1,1,2,-1,1,1]],[[2,-4]]],[[[1,-1,2,2,1,
-1,2,1]],[[2,1,1,1,2,1,1,-1]]],[[[1,-1,2,-2,1,1,2,-1]],[[2,-4]],[[1,-1,2,-1,1,
-1,2,-1]]],[[[2,1,1,-1,2,2]],[[1,-1]]],[[[2,2,1,1,2,-1]],[[2,-1,1,-1,2,
-1]]],[[[2,1,1,1,2,1,1,1]],[[2,1,1,-1,2,1,1,-1]],[[1,1,2,1,1,1,2,1]]],[[[1,1,
2,-1,1,1,2,1]],[[1,-1,2,-1,1,-1]]],[[[2,1,1,1,2,1]],[[1,-1]]],[[[1,1,2,-1,1,
1]],[[2,-2]]],[[[1,1,2,1,1,1]],[[2,-1]]],[[[2,1,1,1,2,-1,1,1]],[[1,1,2,-1,1,1,
2,1]],[[2,2]]],[[[2,2,1,1,2,-1]],[[1,1]],[[2,4]]],[[[1,1,2,-1,1,1]],[[2,
-1]]],[[[2,2]],[[1,1]]],[[[1,1]],[[2,1]]]]);
LIBTOM( "3^2:2A4",
[[1],[1,2],[1,3],[1,4],[1,5],[1,2,6],[1,2,3,7],[1,2,5,8],[1,2,6,9],[1,3,10],[
1,3,5,11],[1,3,4,12],[1,2,3,5,7,8,11,13],[1,2,3,7,10,14],[1,2,5,6,8,9,15],[1,
3,4,5,10,11,12,16],[1,2,3,6,7,10,14,17],[1,2,3,4,5,7,8,10,11,12,13,14,16,18],[
1,2,3,6,7,9,10,14,17,19],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,
20]],
0,[[1],[1,1],[1,1],[1,1],[1,1],[1,1,1],[1,3,1,1],[1,1,1,1],[1,1,3,1],[1,4,1],[
1,1,3,1],[1,1,3,1],[1,3,1,3,1,3,1,1],[1,9,4,12,1,1],[1,1,4,3,4,1,1],[1,4,6,3,
1,1,2,1],[1,9,4,9,12,1,1,1],[1,9,4,6,3,12,9,1,1,2,3,1,1,1],[1,9,4,27,12,9,1,1,
3,1],[1,9,4,24,12,27,12,36,9,1,4,8,12,1,9,4,3,4,1,1]],
[1,2,3,3,3,4,6,6,8,9,9,9,18,18,24,27,36,54,72,216],
[20,15,18,12,13,9,13,8,15,20,18,16,13,20,15,18,19,18,20,20],
[1,1,1,1,1,1,3,1,2,1,1,1,3,10,9,3,10,10,14,19],
[(1,6,3,7)(4,9,5,8),(2,3)(4,5,6,7,8,9)],
[[[[]]],[[[1,-2]]],[[[1,1,2,-3,1,1]]],[[[1,1,2,-1]]],[[[2,-2]]],[[[1,1]]],[[[
1,1,2,-3,1,1]],[[2,1,1,-2,2,-1]]],[[[2,1]]],[[[1,-2,2,1,1,-1,2,-1]],[[2,2,1,1,
2,1]]],[[[1,1,2,-3,1,1]],[[2,2,1,-2,2,1]]],[[[1,1,2,1,1,1,2,1]],[[1,1,2,
-2]]],[[[1,1,2,1,1,-1,2,-2]],[[1,-1,2,1]]],[[[1,1,2,1,1,1,2,1]],[[1,-2]]],[[[
1,1,2,-3,1,-1]],[[1,-2]],[[2,1,1,-2,2,2]]],[[[1,1,2,-2]],[[1,-1,2,-1]]],[[[2,
2,1,-1]],[[1,-1,2,1]]],[[[1,1,2,1,1,1,2,-1]],[[1,-2]]],[[[1,1,2,1]],[[1,
-2]]],[[[2,1,1,1,2,-1]],[[1,1]]],[[[1,1]],[[2,1]]]]);
LIBTOM( "2^4:(S3xS3)",
[[1],[1,2],[1,3],[1,4],[1,5],[1,6],[1,7],[1,8],[1,9],[1,2,4,10],[1,2,11],[1,4,
12],[1,4,13],[1,2,14],[1,4,15],[1,2,3,16],[1,4,6,17],[1,4,18],[1,4,5,19],[1,4,
20],[1,2,4,21],[1,3,4,22],[1,3,5,6,23],[1,2,8,24],[1,6,7,25],[1,5,9,26],[1,3,
7,27],[1,5,7,28],[1,6,9,29],[1,3,9,30],[1,3,8,31],[1,2,3,4,14,16,21,32],[1,2,
4,10,20,33],[1,4,12,13,34],[1,3,4,5,6,17,19,22,23,35],[1,2,4,10,11,21,36],[1,
4,6,15,17,37],[1,4,13,18,20,38],[1,4,5,12,19,39],[1,2,3,11,14,16,40],[1,4,15,
18,41],[1,2,4,10,12,15,21,42],[1,2,4,10,14,43],[1,3,4,12,20,22,44],[1,3,4,13,
18,22,45],[1,4,5,18,19,20,46],[1,3,4,15,20,22,47],[1,2,4,5,10,13,19,48],[1,4,
5,6,17,19,20,49],[1,4,5,13,15,19,50],[1,2,3,4,10,16,22,51],[1,3,4,5,18,19,22,
52],[1,4,6,13,17,20,53],[1,2,4,6,10,17,18,54],[1,3,4,6,13,17,22,55],[1,4,6,12,
17,18,56],[1,7,8,9,57],[1,2,8,11,58],[1,2,3,8,16,24,31,59],[1,3,5,6,7,23,25,
27,28,60],[1,2,8,11,24,61],[1,4,7,15,62],[1,4,9,12,63],[1,2,9,11,64],[1,2,7,
11,65],[1,3,5,6,9,23,26,29,30,66],[1,2,8,14,24,67],[1,2,4,10,11,12,15,21,36,
42,68],[1,2,4,10,12,14,15,21,42,43,69],[1,2,4,10,12,15,18,21,41,42,70],[1,3,4,
5,6,13,15,17,19,20,22,23,35,37,47,49,50,53,55,71],[1,2,3,4,10,11,14,16,21,22,
32,36,40,43,51,72],[1,3,4,6,12,13,17,18,20,22,34,38,44,45,53,55,56,73],[1,2,4,
5,6,10,13,17,18,19,20,33,38,46,48,49,53,54,74],[1,2,4,6,10,12,15,17,18,21,37,
41,42,54,56,75],[1,2,4,5,10,12,13,15,19,21,34,39,42,48,50,76],[1,2,4,10,12,13,
15,21,34,42,77],[1,2,3,4,10,12,15,16,20,21,22,33,42,44,47,51,78],[1,2,3,4,5,6,
10,13,16,17,18,19,22,23,35,45,48,51,52,54,55,79],[1,2,4,10,11,14,20,21,33,36,
43,80],[1,3,4,5,13,15,18,19,20,22,38,41,45,46,47,50,52,81],[1,3,4,5,6,12,17,
18,19,20,22,23,35,39,44,46,49,52,56,82],[1,6,7,8,9,25,29,57,83],[1,5,7,8,9,26,
28,57,84],[1,3,7,8,9,27,30,31,57,85],[1,2,3,8,11,14,16,31,40,58,86],[1,4,6,7,
15,17,25,37,62,87],[1,2,3,9,11,14,16,30,40,64,88],[1,4,5,7,13,15,19,28,50,62,
89],[1,2,3,8,11,14,16,24,31,40,59,61,67,90],[1,3,4,9,12,20,22,30,44,63,91],[1,
3,4,7,15,20,22,27,47,62,92],[1,2,3,7,11,14,16,27,40,65,93],[1,2,4,8,10,11,21,
24,36,58,94],[1,4,5,9,12,19,26,39,63,95],[1,4,6,9,12,17,18,29,56,63,96],[1,2,
3,4,5,6,10,12,13,15,16,17,18,19,20,21,22,23,33,34,35,37,38,39,41,42,44,45,46,
47,48,49,50,51,52,53,54,55,56,71,73,74,75,76,78,79,81,82,97],[1,2,4,5,10,11,
12,13,15,19,21,34,36,39,42,48,50,68,76,77,98],[1,2,4,6,10,11,12,15,17,18,21,
36,37,41,42,54,56,68,70,75,99],[1,2,3,4,10,11,12,14,15,16,20,21,22,32,33,36,
40,42,43,44,47,51,68,69,72,78,80,100],[1,2,3,4,10,12,13,15,16,18,20,21,22,33,
34,41,42,44,47,51,70,77,78,101],[1,2,4,5,10,12,13,14,15,18,19,21,34,39,41,42,
43,48,50,69,70,76,102],[1,2,4,6,10,12,13,14,15,17,18,21,34,37,41,42,43,54,56,
69,75,77,103],[1,2,7,8,9,11,24,57,58,61,64,65,104],[1,3,5,6,7,8,9,23,25,26,27,
28,29,30,31,57,60,66,83,84,85,105],[1,3,4,5,6,9,12,17,18,19,20,22,23,26,29,30,
35,39,44,46,49,52,56,63,66,82,91,95,96,106],[1,2,4,9,10,11,12,15,21,36,42,63,
64,68,107],[1,2,4,7,10,11,12,15,21,36,42,62,65,68,108],[1,2,4,8,10,11,14,20,
21,24,33,36,43,58,67,80,94,109],[1,2,4,8,10,11,12,15,21,24,36,42,58,61,68,94,
110],[1,2,3,4,8,10,11,14,16,21,22,24,31,32,36,40,43,51,58,59,72,86,94,111],[1,
3,4,5,6,7,13,15,17,19,20,22,23,25,27,28,35,37,47,49,50,53,55,60,62,71,87,89,
92,112],[1,2,3,4,5,6,10,11,12,13,14,15,16,17,18,19,20,21,22,23,32,33,34,35,36,
37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,68,69,70,71,72,73,
74,75,76,77,78,79,80,81,82,97,98,99,100,101,102,103,113],[1,2,3,7,8,9,11,14,
16,24,27,30,31,40,57,58,59,61,64,65,67,85,86,88,90,93,104,114],[1,2,3,4,9,10,
11,12,14,15,16,20,21,22,30,32,33,36,40,42,43,44,47,51,63,64,68,69,72,78,80,88,
91,100,107,115],[1,2,4,5,9,10,11,12,13,15,19,21,26,34,36,39,42,48,50,63,64,68,
76,77,95,98,107,116],[1,2,4,5,7,10,11,12,13,15,19,21,28,34,36,39,42,48,50,62,
65,68,76,77,89,98,108,117],[1,2,3,4,8,10,11,12,14,15,16,20,21,22,24,31,32,33,
36,40,42,43,44,47,51,58,59,61,67,68,69,72,78,80,86,90,94,100,109,110,111,
118],[1,2,4,6,7,10,11,12,15,17,18,21,25,36,37,41,42,54,56,62,65,68,70,75,87,
99,108,119],[1,2,4,6,9,10,11,12,15,17,18,21,29,36,37,41,42,54,56,63,64,68,70,
75,96,99,107,120],[1,2,3,4,7,10,11,12,14,15,16,20,21,22,27,32,33,36,40,42,43,
44,47,51,62,65,68,69,72,78,80,92,93,100,108,121],[1,2,4,7,8,9,10,11,12,15,21,
24,36,42,57,58,61,62,63,64,65,68,94,104,107,108,110,122],[1,2,3,4,5,6,9,10,11,
12,13,14,15,16,17,18,19,20,21,22,23,26,29,30,32,33,34,35,36,37,38,39,40,41,42,
43,44,45,46,47,48,49,50,51,52,53,54,55,56,63,64,66,68,69,70,71,72,73,74,75,76,
77,78,79,80,81,82,88,91,95,96,97,98,99,100,101,102,103,106,107,113,115,116,
120,123],[1,2,3,4,5,6,7,10,11,12,13,14,15,16,17,18,19,20,21,22,23,25,27,28,32,
33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,60,62,
65,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,87,89,92,93,97,98,99,100,101,
102,103,108,112,113,117,119,121,124],[1,2,3,4,7,8,9,10,11,12,14,15,16,20,21,
22,24,27,30,31,32,33,36,40,42,43,44,47,51,57,58,59,61,62,63,64,65,67,68,69,72,
78,80,85,86,88,90,91,92,93,94,100,104,107,108,109,110,111,114,115,118,121,122,
125],[1,2,4,5,7,8,9,10,11,12,13,15,19,21,24,26,28,34,36,39,42,48,50,57,58,61,
62,63,64,65,68,76,77,84,89,94,95,98,104,107,108,110,116,117,122,126],[1,2,4,6,
7,8,9,10,11,12,15,17,18,21,24,25,29,36,37,41,42,54,56,57,58,61,62,63,64,65,68,
70,75,83,87,94,96,99,104,107,108,110,119,120,122,127],[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]],
0,[[1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,2,1,1],[1,3,1],[1,3,
1],[1,1,1],[1,1,1],[1,3,1],[1,1,2,1],[1,1,2,1],[1,1,1],[1,1,2,1],[1,1,1],[1,1,
2,1],[1,2,1,1],[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],[1,3,1,1],[1,1,2,2,1,1,1,1],[1,2,1,1,2,1],[1,3,1,2,1],[1,2,
1,2,2,1,1,1,4,1],[1,4,3,3,1,3,1],[1,3,4,1,6,1],[1,1,1,1,1,1],[1,3,4,1,6,1],[1,
3,2,1,1,1,1],[1,3,1,2,1],[1,2,5,1,1,1,4,1],[1,2,1,1,2,1],[1,2,3,1,1,1,1],[1,2,
1,1,1,1,1],[1,1,2,1,1,1,1],[1,2,3,1,1,1,1],[1,2,1,2,1,1,1,1],[1,1,2,2,1,1,1,
1],[1,3,2,1,1,1,1],[1,2,4,1,1,4,2,1],[1,2,1,2,1,1,1,1],[1,1,2,1,1,1,1],[1,2,1,
2,1,1,1,1],[1,2,1,2,1,1,1,1],[1,3,2,1,1,1,1],[1,1,2,1,1],[1,3,4,1,1],[1,1,6,1,
3,1,2,1],[1,3,3,1,1,3,1,1,1,1],[1,3,1,1,3,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,
1],[1,3,4,1,1],[1,3,1,3,1,3,1,1,1,1],[1,1,1,3,1,1],[1,6,9,9,2,3,3,18,6,9,1],[
1,2,5,1,1,4,1,4,1,2,1],[1,2,5,1,1,1,4,4,2,1,1],[1,2,3,2,4,1,1,6,1,1,1,4,1,1,1,
1,1,1,1,1],[1,4,4,3,3,1,2,4,3,2,2,1,2,1,1,1],[1,2,3,2,1,2,1,1,1,1,1,1,1,1,1,1,
1,1],[1,2,1,2,2,1,1,1,1,1,2,1,1,1,1,1,1,1,1],[1,2,5,4,1,1,1,6,2,4,1,1,1,2,2,
1],[1,2,5,4,1,1,2,1,6,4,1,1,1,2,2,1],[1,2,5,1,1,4,1,4,2,1,1],[1,2,4,5,1,1,1,4,
2,4,2,1,1,2,2,1,1],[1,2,4,1,2,2,1,1,4,1,1,1,2,4,1,1,1,1,1,1,1,1],[1,4,3,3,1,2,
2,3,1,1,1,1],[1,2,3,2,1,1,2,1,1,1,1,1,1,1,1,1,1,1],[1,2,3,4,2,1,1,1,6,1,1,4,1,
1,1,1,1,1,1,1],[1,3,1,2,1,3,1,1,1],[1,3,1,2,1,3,1,1,1],[1,9,1,2,1,3,3,6,1,1],[
1,3,6,4,1,3,3,4,3,1,1],[1,3,4,4,1,6,4,1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,6,4,
3,1,3,4,3,1,1],[1,3,6,1,1,3,3,3,2,3,1,1,1,1],[1,6,3,4,1,3,3,4,3,1,1],[1,6,3,4,
1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,4,3,4,3,1,3,4,1,1,1],[1,3,4,4,1,6,4,
1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,2,4,5,4,4,1,1,2,1,4,6,2,6,2,4,2,8,1,1,2,1,2,
1,1,1,2,2,2,2,2,2,2,1,2,2,2,2,2,2,2,2,1,1,1,2,2,2,1],[1,6,9,4,9,2,3,6,3,6,18,
3,6,1,9,6,6,1,3,3,1],[1,6,9,4,9,2,3,3,6,6,18,6,1,3,9,6,6,1,3,3,1],[1,6,4,9,9,
2,3,4,3,4,2,18,2,4,1,6,4,9,2,2,2,1,1,1,2,1,2,1],[1,2,4,5,1,1,4,1,4,4,2,4,2,1,
2,2,1,2,2,1,1,1,1,1],[1,2,5,4,1,1,2,4,1,4,6,4,1,1,2,1,2,2,2,1,1,1,1],[1,2,5,4,
1,1,4,4,1,6,2,4,2,1,1,1,2,2,2,1,1,1,1],[1,3,4,5,4,1,3,4,1,1,1,1,1],[1,9,3,3,1,
2,1,9,3,3,3,1,1,3,6,1,3,3,1,1,1,1],[1,6,3,4,6,4,1,3,3,6,3,3,12,4,4,4,3,1,3,3,
3,3,3,1,4,3,1,1,1,1],[1,6,9,16,9,2,3,3,18,6,9,12,8,1,1],[1,6,9,16,9,2,3,3,18,
6,9,12,8,1,1],[1,4,3,4,3,1,6,6,3,4,3,1,3,1,4,3,1,1],[1,6,9,4,9,2,3,3,18,12,6,
9,1,4,1,3,1],[1,4,12,3,4,3,1,6,12,3,6,4,8,6,1,6,3,3,1,4,3,2,1,1],[1,6,3,6,4,4,
3,1,6,3,3,3,12,4,4,4,3,1,3,3,3,3,3,4,1,3,1,1,1,1],[1,6,4,9,4,4,9,2,3,6,4,3,4,
6,6,6,2,18,2,8,4,1,3,2,6,1,2,1,4,3,9,2,2,2,2,2,6,2,6,1,2,2,6,2,6,1,1,3,2,2,2,
2,3,3,3,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,18,4,5,4,1,9,9,3,12,12,18,9,4,1,3,1,1,
1,3,4,3,3,3,3,1,1],[1,6,12,9,16,9,2,3,12,3,12,6,18,6,16,12,3,6,12,9,6,6,6,3,
12,8,1,3,6,3,6,8,4,3,1,1],[1,6,9,4,16,9,2,3,6,3,6,18,16,3,6,1,9,6,6,12,8,1,3,
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24,16,16,16,12,3,9,6,6,1,6,3,12,3,9,6,6,6,6,6,18,6,18,3,6,6,6,6,6,16,12,8,1,3,
3,6,6,6,6,3,9,9,3,6,6,6,6,4,12,4,8,3,3,1,3,3,3,3,1,4,3,1,1,1,1],[1,6,36,9,16,
8,16,9,2,3,36,3,36,18,18,18,24,48,48,48,36,9,6,36,9,18,18,18,9,16,2,24,8,12,
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9,12,16,8,16,9,2,3,18,3,18,18,24,48,16,9,6,3,9,18,18,16,2,8,12,12,8,8,1,9,9,
16,12,6,12,3,8,1,1,2,3,1,1,1],[1,6,9,12,16,8,16,9,2,3,3,18,18,18,24,48,16,6,3,
9,9,18,18,16,2,8,12,12,8,8,1,9,9,16,12,6,12,3,8,1,1,2,3,1,1,1],[1,6,36,9,12,
12,16,8,16,9,2,3,18,36,3,36,18,18,18,18,18,18,72,24,48,48,48,16,16,48,48,36,9,
9,18,6,3,18,3,36,9,9,18,18,18,18,18,18,18,18,9,18,18,18,18,18,16,2,24,48,8,12,
12,8,8,48,24,1,9,9,18,18,18,18,9,9,9,9,18,18,18,18,16,16,16,12,12,24,12,24,12,
12,24,6,12,12,9,3,3,9,9,9,9,8,16,12,1,1,6,2,6,12,9,8,3,3,1,6,3,1,3,1,3,3,1,1,
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8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,9,12,12,12,12,12,12,12,12,12,12,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,18,18,18,24,24,24,24,24,24,24,24,24,24,24,
32,32,32,32,32,32,32,36,36,48,48,48,48,48,48,48,64,72,96,96,96,96,96,96,96,
144,192,192,288,288,288,576],
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97,35,90,60,66,60,105,105,66,59,72,113,113,97,118,124,97,123,72,113,113,100,
97,97,97,97,97,97,97,113,97,97,97,97,97,105,125,90,60,114,112,106,114,114,66,
90,128,113,113,97,100,97,97,113,113,113,113,97,100,97,97,105,105,105,111,112,
88,112,90,106,112,93,118,106,106,113,123,124,113,113,113,113,114,105,106,128,
128,118,125,118,112,113,114,123,123,128,118,124,128,124,128,123,124,128,128,
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2,9,10,19,31],[1,2,3,5,7,8,9,15,17,21,32],[1,2,3,4,7,8,9,11,13,17,22,24,25,
33],[1,2,3,6,7,8,9,16,17,20,34],[1,2,3,6,7,8,9,16,17,23,35],[1,2,4,10,13,19,
27,36],[1,2,4,5,6,7,13,18,20,21,22,23,37],[1,2,3,4,5,6,8,11,12,13,14,15,16,18,
25,26,28,29,30,38],[1,2,5,7,10,12,19,21,39],[1,2,4,9,10,13,19,24,27,31,36,
40],[1,2,3,4,5,6,7,8,9,11,13,15,16,17,18,20,21,22,23,24,25,28,32,33,34,35,37,
41],[1,2,3,5,7,8,9,10,12,14,15,17,19,21,26,31,32,39,42],[1,2,4,5,6,7,10,12,13,
18,19,20,21,22,23,27,29,36,37,39,43],[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]],
0,[[1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,3,1],[1,1,2,1],[1,1,1],[1,1],[1,3,1,
1],[1,3,1,1],[1,1,1,1],[1,1,1,1],[1,3,1,1],[1,3,1,1],[1,3,2,1,1,1,1],[1,1,1,2,
1],[1,5,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,1,1,3,1],[1,3,4,1,1],[1,1,1,3,1,1],[
1,1,6,1,3,2,1,1],[1,3,4,1,3,1,1,1,1],[1,1,1,1],[1,9,1,1,2,3,3,6,1,1],[1,3,1,1,
2,1,3,1,1],[1,3,1,1,2,1,3,1,1],[1,5,5,1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,6,1,
1,3,3,2,3,3,1,1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,5,1,1,
5,1,1,1],[1,3,1,4,8,1,3,4,1,1,1,1,1],[1,3,12,1,1,2,9,4,1,3,3,3,6,1,3,3,1,1,1,
1],[1,15,10,5,6,10,6,5,1],[1,5,1,15,1,5,1,5,1,3,1,1],[1,3,18,1,4,8,1,9,9,6,3,
12,24,9,4,1,1,1,1,3,3,4,3,3,3,3,1,1],[1,15,10,10,5,15,15,6,10,10,10,15,6,5,10,
6,5,1,1],[1,15,1,10,20,5,6,10,15,10,6,5,5,5,5,6,10,6,5,1,1],[1,15,30,1,10,20,
5,45,45,6,10,10,15,30,30,60,45,10,6,5,5,5,5,15,15,30,6,10,10,10,18,15,15,15,
15,6,5,10,1,6,5,3,1,1]],
[1,2,2,3,3,3,4,4,4,5,6,6,6,6,6,6,8,9,10,12,12,12,12,12,12,12,15,18,18,18,20,
24,24,24,24,30,36,36,60,60,72,120,180,360],
[44,33,26,44,38,28,41,17,17,40,38,38,33,26,26,16,17,38,40,41,41,41,41,33,33,
26,40,38,38,38,31,32,33,34,35,40,41,38,44,40,41,42,44,44],
[1,1,1,1,1,1,1,1,1,1,4,5,1,1,5,6,2,1,10,7,7,1,7,4,4,5,1,18,5,4,10,21,13,20,23,
10,7,18,39,27,37,39,39,43],
[(1,5)(3,4),(1,5,7,8,2)(3,4,6)],
[[[[]]],[[[1,1,2,1,1,1,2,1]]],[[[1,1]]],[[[2,5]]],[[[1,1,2,1,1,1,2,-2]]],[[[1,
1,2,1,1,1,2,-1]]],[[[1,1,2,1],[3,1,1,1,2,-2,3,-1,2,2,1,1]],[[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,-2,1,1,2,2,1,1]]],[[[1,1,2,
1]]],[[[2,3]]],[[[1,1,2,-2,1,1,2,2,1,1]],[[2,5]]],[[[1,1,2,1],[1,1,2,-1,3,-2,
2,1,1,1]],[[2,2,1,1,2,-1,1,1]]],[[[2,2,1,1,2,-2,1,1]]],[[[1,1,2,2]]],[[[2,2,1,
1,2,-1,1,1]],[[2,-1,1,1,2,1]]],[[[1,1,2,1],[3,-2,2,2]],[[2,2],[3,2,1,1,2,
1]]],[[[1,1,2,-2,1,1,2,2,1,1]],[[2,1,1,1,2,1,1,1]]],[[[2,5]],[[2,2,1,1,2,-1,1,
1]]],[[[2,1,1,1,2,-3,1,1,2,-1]],[[1,1,2,1,1,1,2,1]]],[[[1,1,2,1],[3,1,2,2,3,
1]],[[2,1,1,1,2,1,1,1]]],[[[2,2,1,1,2,-1,1,1]],[[2,1,1,1,2,1,1,1]]],[[[1,1,2,
1],[2,2,3,1,2,1,3,1]],[[2,1,1,1,2,1,1,1]]],[[[1,1,2,1],[3,-2,2,2]],[[2,1,1,1,
2,1,1,1]]],[[[2,1,1,1],[3,1,2,1,3,1,2,-1,1,1]],[[2,5]]],[[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1]],[[2,5]],[[1,1,2,-2,1,1,2,2,1,1]]],[[[1,1,2,-1,1,1,2,3,1,1]],[[
2,-1,1,1,2,1]]],[[[2,-1]]],[[[2,5]],[[2,2,1,1,2,-1,1,1]],[[2,-1,1,1,2,1]]],[[[
2,1,1,1,2,2,1,1,2,2]],[[2,2,1,1,2,-1,1,1]]],[[[2,5]],[[2,2,1,1,2,-1,1,1]],[[2,
1,1,1,2,-1]]],[[[2,2],[3,1,1,1,2,-1,3,-1]],[[1,1,2,1]]],[[[2,-1,1,1,2,1]],[[2,
1,1,1]]],[[[1,1,2,-2,1,1,2,2,1,1]],[[2,1,1,1,2,1,1,1]],[[2,5]]],[[[2,2],[3,1,
1,1,2,1,3,1]],[[2,1,1,1,2,1,1,1]],[[1,1,2,1],[3,-2,2,1,3,1]]],[[[2,2],[3,2,1,
1,2,1]],[[1,1,2,4]],[[2,1,1,1,2,1,1,1]]],[[[2,1,1,1,2,-1,1,1,2,-1]],[[1,1,2,1,
1,1,2,1]]],[[[2,5]],[[2,2,1,1,2,-1,1,1]],[[2,1,1,1,2,1,1,1]]],[[[2,2,1,1,2,-1,
1,1]],[[2,1,1,1,2,-1]],[[2,-1,1,1,2,1]]],[[[1,1,2,1,1,1,2,1]],[[2,3]]],[[[2,1,
1,1,2,1,1,1,2,-1]],[[1,1,2,1]]],[[[1,1,2,4]],[[2,-1,1,1,2,1]],[[2,1,1,1]]],[[[
2,3]],[[2,1,1,1]]],[[[1,1,2,-1,1,1]],[[2,1]]],[[[1,1]],[[2,1]]]]);
AFLT( "(A7x3):2","A10",[1,2,2,3,4,4,5,5,6,7,8,14,14,8,11,13,17,19,25,25,21,19,
19,20,26,21,22,20,25,23,24,27,28,30,31,35,35,41,41,48,51,51,54,53,54,57,58,60,
69,69,61,63,63,68,74,80,62,80,70,74,64,65,82,75,70,76,76,75,82,74,76,78,77,79,
84,85,99,113,113,117,114,116,118,118,119,120,118,121,122,120,126,130,126,131,
133,132,135,135,151,153,153,149,149,134,139,139,150,161,156,158,160,161,138,
146,156,147,151,158,160,144,165,171,169,170,193,192,193,195,194,195,189,197,
205,205,207,199,207,198,196,201,202,201,200,204,210,212,213,234,227,234,221,
238,239,238,244,245,249,250,251,252,260,262,262,279,284,269,282,271,278,282,
271,278,264,273,263,284,280,280,275,272,310,311,312,313,314,318,314,320,315,
321,332,328,332,334,337,340,341,352,352,351,354,358,374,377,376,379,378,383,
389,400,399,404,416,417,421,423,426] );
AFLT( "(A5xA5):4","A10",[1,2,2,3,4,5,7,9,11,14,8,16,13,11,15,17,18,19,25,19,
26,25,21,20,23,31,45,30,33,35,48,41,50,46,40,51,57,58,60,59,61,69,74,63,81,70,
75,80,76,74,82,77,76,66,83,85,87,95,104,99,101,109,105,113,114,117,118,118,
125,126,129,130,127,128,149,135,146,158,151,161,156,160,153,139,142,162,164,
171,170,169,178,183,179,193,202,198,202,201,206,190,207,209,211,210,216,214,
221,231,234,236,237,244,248,249,251,246,250,259,262,271,264,278,267,268,286,
305,293,309,307,308,314,318,319,320,316,323,332,331,340,349,348,350,356,360,
358,362,363,370,377,376,379,381,385,393,394,397,400,406,411,419,422,425] );
AFLT( "(A6xA4):2","A10",[1,2,2,2,3,3,4,5,4,6,5,7,7,8,10,14,15,14,8,9,12,13,13,
15,10,11,11,13,14,10,8,16,12,11,17,20,25,19,21,19,26,22,19,25,21,23,27,25,24,
20,35,32,31,36,35,31,31,30,38,46,48,48,37,34,36,33,45,37,49,46,30,38,32,49,34,
41,49,37,41,35,43,32,41,34,41,43,48,38,42,40,51,54,51,54,53,57,58,60,61,61,62,
68,69,64,63,69,81,74,80,70,72,63,65,82,82,77,75,76,78,74,83,75,71,80,70,76,79,
74,67,73,66,76,85,88,87,90,88,86,90,89,103,105,104,102,98,95,108,97,99,91,94,
103,92,97,93,98,92,99,89,93,94,101,107,108,102,96,105,96,96,99,98,97,113,117,
114,113,116,118,119,118,120,121,118,122,120,125,129,130,127,126,136,135,135,
134,146,145,146,136,137,150,153,149,151,154,149,135,146,147,138,139,140,161,
161,158,160,159,157,155,156,152,153,156,158,162,160,151,141,144,139,142,165,
170,173,174,174,173,184,182,185,177,176,178,185,187,177,184,187,192,189,194,
193,190,199,198,196,195,201,207,208,205,193,206,200,202,197,203,204,201,209,
210,211,216,218,217,216,214,215,226,222,229,221,221,223,220,231,225,232,229,
225,230,219,217,220,231,221,227,224,220,235,234,234,238,239,238,245,244,248,
251,256,260,262,261,266,264,268,269,267,265,274,272,278,284,282,275,262,273,
271,278,279,281,271,263,283,276,280,277,286,289,288,288,290,303,304,291,305,
297,296,289,302,302,299,297,301,305,301,298,300,299,293,294,310,311,312,313,
318,317,319,314,315,325,323,324,331,330,328,329,327,326,332,334,333,332,341,
340,346,347,347,351,352,353,354,357,356,359,358,360,361,362,366,365,367,364,
365,363,369,374,377,378,383,382,384,385,386,391,392,396,398,397,399,402,404,
408,409,410,411,412,416,418,420,424] );
AFLT( "(A8x3):2","A11",[1,2,3,2,3,4,4,5,5,6,7,9,10,8,15,14,8,12,14,11,16,11,
13,12,10,17,19,26,19,27,20,21,19,22,27,28,28,27,29,22,20,21,24,30,23,29,23,25,
31,32,34,33,47,48,35,38,42,49,50,44,34,33,43,36,38,51,36,52,37,40,41,39,43,41,
40,37,45,43,46,53,49,52,54,54,56,57,56,59,60,62,72,64,66,73,82,79,72,75,76,65,
83,74,66,77,80,94,84,68,82,69,79,67,87,88,89,95,82,90,85,70,76,95,89,87,86,92,
90,86,78,92,89,91,93,98,99,99,100,101,103,114,104,106,105,120,116,115,121,102,
107,123,117,113,112,109,124,119,108,118,125,110,122,111,111,112,105,126,127,
113,128,128,136,131,136,136,137,139,140,130,134,134,130,139,138,141,142,133,
135,136,140,143,133,141,132,147,147,153,159,157,158,160,161,177,165,162,186,
187,194,163,200,167,165,189,188,168,197,199,164,201,198,205,195,206,207,178,
196,166,180,179,171,199,177,192,191,170,214,212,213,208,185,216,181,209,169,
187,184,210,190,189,219,222,172,217,168,215,220,202,203,167,193,176,200,220,
184,215,175,209,204,224,230,230,231,232,234,232,234,235,233,236,237,238,241,
244,242,247,243,246,239,245,248,240,250,251,249,252,256,253,256,264,263,262,
260,265,264,257,259,259,277,261,274,278,263,264,278,277,254,273,274,258,271,
278,270,268,280,269,266,279,281,268,275,267,270,287,294,295,296,297,298,303,
306,304,299,307,321,308,309,323,324,331,327,329,310,340,341,301,343,328,339,
338,330,334,344,311,315,337,336,326,325,335,333,345,332,317,302,313,346,309,
312,319,348,349,347,311,314,351,352,310,318,314,354,320,353,349,355,358,361,
359,361,362,359,360,368,370,371,378,378,381,382,381,382,383,384,385,386,389,
391,388,387,390,392,393,398,397,401,392,413,414,406,407,405,399,395,415,396,
413,418,427,419,402,421,411,405,422,424,402,401,400,410,424,428,422,427,416,
412,423,412,446,445,444,447,451,450,465,448,452,454,458,462,463,472,471,467,
468,464,470,456,466,459,476,469,473,484,475,455,477,481,482,483,480,485,457,
489,496,493,497,492,495,491,490,497,495,498,494,501,502,501,506,502,507,514,
514,516,517,518,522,523,519,520,525,529,530,526,532,528,527,545,543,544,533,
541,542,540,531,537,534,539,549,545,556,557,559,555,558,560,563,563,564,565,
568,569,569,571,572,573,576,577,579,582,574,575,581,578,583,580,597,597,591,
594,589,595,588,590,596,593,606,607,616,622,618,620,623,621,619,629,626,628,
635,633,631,634,632,627,630,643,644,647,647,651,653,651,655,650,653,648,657,
649,658,659,661,665,663,678,679,680,682,683,689,684,686,688,685,690,691,700,
704,700,707,706,707,710,711,712,716,717,720,720,718,721,722,726,731,740,739,
738,747,746,748,744,750,754,758,761,763,767,775,776,780,782,784] );
AFLT( "(A7xA4):2","A11",[1,2,2,2,3,3,4,4,5,5,6,7,7,8,14,8,9,10,16,14,11,12,12,
10,14,13,8,15,11,16,13,11,12,10,17,19,27,27,19,19,26,20,21,28,27,21,21,22,20,
28,27,23,29,23,24,31,38,33,33,36,34,39,48,38,49,49,35,38,43,33,34,43,37,36,41,
39,41,40,52,37,40,51,51,52,44,41,49,43,52,45,45,37,36,43,40,46,54,54,56,57,56,
59,60,62,62,60,64,72,72,64,66,66,82,65,79,82,79,72,74,73,74,66,67,77,84,75,80,
80,77,84,81,79,85,76,82,67,88,83,89,76,95,95,75,76,94,83,87,89,88,87,68,69,84,
89,89,91,95,82,87,89,92,96,78,70,90,86,91,92,71,97,98,99,101,102,122,105,103,
104,115,115,102,105,121,121,114,112,124,117,110,118,123,109,112,108,113,109,
111,107,122,119,110,111,113,108,118,119,124,113,112,111,105,128,128,134,130,
134,130,131,140,136,136,136,141,142,143,141,147,151,150,152,155,153,156,154,
146,153,147,148,152,157,159,158,165,165,177,187,166,162,177,162,187,164,199,
167,167,165,188,188,199,198,180,179,163,195,180,178,166,190,206,195,201,194,
179,205,161,206,198,205,178,169,201,199,200,177,182,203,181,219,184,202,197,
184,172,215,172,168,185,181,216,189,209,220,200,220,208,208,200,197,216,187,
209,215,219,202,185,167,170,173,203,217,184,183,210,198,218,211,209,221,204,
220,215,174,176,224,227,229,228,230,232,234,238,244,245,244,245,240,240,252,
248,248,252,246,239,249,249,256,256,253,262,262,256,257,254,273,274,259,257,
259,258,259,269,277,278,268,263,273,277,264,277,279,278,260,278,274,276,258,
264,261,268,271,282,285,290,286,288,284,292,287,283,289,291,289,287,293,294,
295,298,298,297,299,303,299,309,321,309,300,301,308,308,307,307,321,304,305,
331,336,341,315,340,328,311,332,343,338,323,311,301,339,329,302,336,330,315,
306,335,322,332,312,316,343,334,330,325,334,340,325,337,324,338,313,337,328,
327,341,342,335,339,318,346,319,347,347,314,311,348,346,318,310,319,348,349,
309,349,349,350,359,360,359,369,370,371,376,378,381,382,384,387,392,392,397,
398,398,393,393,392,394,397,419,420,421,422,413,417,418,405,405,413,405,408,
401,424,396,406,415,413,424,416,425,427,426,427,424,427,419,422,402,412,410,
412,416,412,409,430,437,434,433,436,435,431,439,440,441,442,443,455,454,458,
458,453,462,462,454,456,448,456,474,476,461,467,479,460,483,478,464,483,455,
459,484,475,480,475,480,457,476,477,459,473,477,473,481,470,484,481,449,491,
491,489,490,492,501,500,506,508,501,507,506,510,512,502,514,516,518,523,523,
519,519,522,524,530,529,532,532,530,529,528,521,525,526,525,526,528,520,535,
539,537,540,547,536,545,540,538,545,545,544,539,546,551,555,561,562,563,565,
583,583,576,584,590,597,598,597,590,597,593,599,601,602,604,608,606,600,605,
605,613,611,603,607,606,610,615,616,622,622,628,626,628,626,632,631,629,625,
629,631,635,633,635,617,632,633,624,619,627,636,627,642,644,647,653,651,648,
661,663,662,664,663,667,674,673,671,670,668,669,675,672,681,679,690,687,690,
686,699,701,704,700,703,707,710,711,711,713,715,717,727,729,736,732,728,731,
734,740,743,748,750,752,753,759,762,763,767,770,771,773,772,775,777,779,
783] );
AFLT( "(A6xA5):2","A11",[1,2,2,2,3,3,4,4,5,6,5,7,8,7,14,14,11,8,16,10,13,8,9,
12,14,16,12,10,11,12,11,10,13,15,17,17,18,18,19,20,19,19,21,27,26,19,22,27,28,
21,27,29,27,23,21,28,20,24,30,25,23,38,34,33,36,33,38,39,33,43,43,49,38,34,37,
40,35,51,40,48,41,39,41,51,49,49,52,52,36,37,36,43,40,37,45,43,41,52,45,44,46,
54,56,54,56,57,59,59,60,62,60,62,61,61,64,64,65,72,74,76,83,72,82,66,67,68,79,
66,82,81,85,75,84,95,83,89,80,84,87,89,79,76,82,87,77,95,90,82,96,78,88,95,76,
92,89,87,91,89,86,71,69,89,92,93,99,100,99,102,101,122,102,121,121,103,105,
114,124,110,109,104,118,108,107,115,111,123,124,108,113,119,115,117,109,119,
122,113,118,110,112,105,111,112,105,112,111,113,128,134,130,137,136,131,128,
136,140,136,139,139,138,134,133,135,142,141,136,136,130,132,133,143,141,146,
147,151,150,151,156,152,155,153,154,147,148,154,153,148,149,149,165,164,166,
165,199,161,200,187,197,162,165,199,168,189,187,187,190,166,169,188,182,199,
203,177,191,205,195,178,209,219,184,198,181,216,200,220,181,215,202,177,220,
198,180,208,216,201,202,179,215,208,184,219,197,209,167,173,221,183,167,184,
172,215,200,204,209,175,218,211,176,220,170,174,223,224,231,230,234,232,233,
235,232,230,234,244,245,244,246,248,239,248,240,249,249,238,252,245,240,252,
253,262,256,264,257,263,254,256,274,260,273,265,258,259,264,276,278,269,277,
279,268,278,270,275,268,281,280,264,274,268,271,266,278,270,267,283,282,282,
284,287,288,289,285,286,290,291,292,288,287,296,300,298,301,298,305,310,306,
307,309,303,311,302,309,321,342,313,322,301,343,315,309,316,321,343,311,315,
312,347,349,314,347,336,328,346,348,348,346,349,325,335,311,334,350,319,349,
320,357,356,357,359,358,361,360,361,359,362,370,370,371,376,377,379,378,376,
381,380,382,381,372,383,378,374,382,373,372,387,397,401,394,392,407,396,405,
413,406,398,413,414,392,415,399,420,418,419,393,422,395,421,405,417,427,405,
425,413,416,402,408,426,424,422,423,409,412,430,431,436,435,433,434,437,434,
445,446,444,455,453,454,454,457,475,480,477,459,474,461,480,455,458,460,477,
458,475,459,478,479,448,476,449,486,488,487,491,492,493,490,497,496,495,489,
494,495,498,497,501,500,506,501,502,512,508,510,507,513,511,509,506,508,504,
505,514,514,503,505,515,524,518,521,527,542,535,547,537,531,544,543,532,545,
539,540,533,530,526,545,541,540,538,536,546,545,551,563,564,568,565,567,566,
563,570,569,583,584,583,587,590,593,588,591,595,598,594,597,596,589,599,600,
599,601,605,606,608,602,604,611,610,609,613,614,603,602,606,612,607,613,626,
625,626,616,617,624,636,630,629,637,638,637,644,646,647,657,655,652,651,650,
654,649,648,656,653,653,651,647,662,664,663,665,668,667,669,670,674,673,671,
676,675,672,670,682,686,687,692,693,692,700,702,704,701,703,701,707,707,706,
709,705,713,715,717,718,720,719,723,724,723,727,729,728,735,732,733,736,731,
730,734,732,741,744,746,748,747,745,749,751,752,753,757,755,756,759,760,761,
766,764,765,770,778,781] );
AFLT( "(A6x3):2","A9",[1,3,2,2,4,4,6,6,5,10,7,12,12,11,13,10,15,17,16,18,20,
17,17,19,21,20,18,22,26,27,33,36,38,38,33,40,40,42,42,41,45,49,51,50,48,52,53,
55,57,59,58,60,61,59,63,71,75,75,76,82,79,81,82,82,80,83,80,88,91,92,93,90,90,
94,101,98,106,99,104,97,103,109,110,111,115,123,125,124,127,128,129,127,140,
138,141,143,144,143,151,150,153,157,158,156,159,160,161,162,173,175,174,178,
179,182,181,188,189,194,203,205,204,212,213,219] );
AFLT( "3^3:S4","A9",[1,2,3,5,4,6,5,10,13,12,19,17,22,21,18,20,21,16,38,42,44,
40,43,41,39,59,60,61,57,52,82,79,75,83,80,81,77,78,76,74,103,110,114,111,113,
112,127,123,128,129,145,144,146,147,143,162,164,175,174,173,183,194,202,
210] );
AFLT( "3^2:2A4","A9",[1,3,5,5,6,14,21,22,28,39,41,39,83,74,108,114,126,146,
155,193] );
AFLT( "3^2:2A4","L3(4).3",[1,2,5,4,3,9,11,12,17,19,20,21,38,37,45,48,53,63,69,
86] );
AFLT( "3^2:2A4","U3(5).3",[1,2,5,4,3,7,13,11,15,18,19,20,34,32,43,49,54,61,65,
78] );
AFLT( "3^2:2A4","U3(8)",[1,2,4,4,3,7,10,9,22,25,28,25,60,58,65,68,106,118,194,
235] );
AFLT( "3^2:2A4","U3(8)",[1,2,4,4,3,6,10,9,24,26,28,26,60,57,66,70,105,119,193,
234] );
AFLT( "3^2:2A4","U3(8)",[1,2,4,4,3,8,10,9,23,27,28,27,60,56,64,69,104,117,192,
236] );
AFLT( "2^4:(S3xS3)","A8",[1,3,3,2,2,2,5,4,5,9,6,7,12,13,8,10,8,12,7,12,11,9,
11,17,18,18,19,15,15,19,16,35,29,27,28,24,21,25,22,34,26,28,32,30,29,27,33,30,
31,31,23,30,26,33,33,31,36,38,46,47,41,44,42,40,39,47,45,49,50,54,52,56,58,58,
52,53,51,55,55,57,58,53,60,60,59,71,73,78,68,76,66,74,77,64,69,72,81,82,80,85,
86,84,83,89,90,98,92,91,94,93,95,96,104,105,110,113,108,114,109,107,111,117,
125,126,129,128,127,132] );
AFLT( "(A5x3):2","A8",[1,3,3,4,4,5,6,10,13,14,16,16,17,17,16,19,34,36,37,40,
38,41,39,45,46,46,48,59,61,61,62,71,76,78,77,79,89,88,101,103,105,115,123,
131] );
AFLT( "3^2:2A4","3D4(2)", [1,3,5,5,4,18,21,23,50,89,88,89,448,443,462,474,
1251,1293,1993,2515]);
AFLT("(A8x3):2","O8-(2)",[1,3,2,3,4,5,5,6,6,7,10,8,12,13,26,27,13,11,27,20,
27,22,24,23,9,29,30,37,30,38,32,33,30,31,38,39,39,38,41,34,32,33,36,40,35,42,
35,36,43,44,45,47,79,88,53,136,119,109,94,120,62,71,137,69,136,106,59,107,65,
132,137,139,142,142,147,75,132,142,141,150,93,92,151,151,153,152,153,155,157,
159,170,160,161,171,179,195,170,173,174,164,180,172,161,175,196,197,181,163,
179,162,195,166,184,186,185,198,179,178,182,165,174,198,185,184,192,191,187,
190,177,191,185,193,194,200,201,201,202,204,216,627,231,232,344,463,629,628,
459,227,372,664,630,346,378,384,674,656,323,644,677,401,461,402,408,403,391,
693,704,409,706,706,712,708,712,712,713,714,711,707,720,720,707,714,716,717,
718,709,721,712,715,719,709,717,710,727,727,724,732,730,731,733,734,786,765,
735,784,738,805,736,796,769,765,745,746,771,795,794,770,798,797,812,806,813,
808,788,807,768,787,789,766,794,786,742,740,767,763,760,759,809,791,814,790,
810,780,743,792,811,752,751,818,820,773,815,779,816,819,800,799,769,744,781,
796,819,792,816,781,810,804,823,832,832,831,830,826,830,826,827,829,846,1587,
1588,1638,1338,1639,1756,1645,1746,1600,1344,1817,1630,1902,1857,1818,1945,
1964,1971,1964,1953,1952,1970,1966,1957,1953,1965,1968,1968,1981,1969,1973,
1977,1956,1953,1977,1981,1971,1974,1973,1967,1962,1977,1960,1958,1979,1959,
1961,1978,1980,1958,1975,1963,1960,1983,1985,1986,1987,2007,1993,1988,2047,
1991,1996,2048,2044,2072,2008,2078,2073,2079,2082,2076,2017,2091,2092,2000,
2063,2083,2086,2084,2077,2093,2090,2015,2012,2085,2088,2074,2075,2087,2081,
2089,2080,2010,2006,2041,2104,2014,2032,2028,2107,2105,2106,2023,2033,2103,
2101,2029,2039,2034,2097,2040,2096,2105,2100,2109,2110,2112,2110,2111,2112,
2113,2116,2118,2119,2121,2121,2128,2126,2128,2126,2125,2131,2590,2592,3126,
3159,3127,3131,2905,3170,3171,3175,3174,3185,3170,3182,3181,3190,3191,3192,
3176,3172,3180,3173,3182,3203,3204,3196,3185,3198,3194,3192,3199,3205,3186,
3186,3178,3193,3205,3207,3199,3204,3184,3195,3201,3195,3214,3212,3213,3230,
3221,3311,3266,3231,3220,3295,3281,3350,3348,3370,3363,3371,3352,3349,3372,
3304,3272,3285,3387,3353,3390,3391,3322,3302,3357,3388,3386,3392,3383,3389,
3309,3393,3403,3398,3400,3396,3397,3395,3394,3400,3397,3401,3399,3406,3405,
3406,3411,3407,3413,3414,3414,3416,4013,4029,4033,4034,4030,4031,4041,4036,
4037,4042,4044,4040,4043,4052,4050,4055,4045,4054,4051,4053,4038,4057,4046,
4058,4060,4052,4074,4081,4079,4075,4078,4077,4082,4082,4083,4084,4086,4088,
4088,4181,4100,4128,4294,4297,4173,4276,4298,4278,4296,4157,4258,4176,4303,
4303,4308,4306,4300,4305,4299,4302,4304,4307,4314,4315,4647,4654,4655,4649,
4657,4651,4656,4665,4658,4671,4670,4668,4672,4667,4669,4661,4666,4688,4689,
4690,4690,4694,4697,4694,4698,4693,4697,4691,4699,4695,4828,4807,4829,4833,
4831,4843,4844,4845,4950,4951,4971,4972,4965,4963,4978,4979,4980,4989,4991,
4990,4992,4993,4992,5077,5078,5079,5083,5109,5110,5110,5108,5129,5135,5141,
5146,5203,5204,5202,5219,5218,5217,5216,5236,5257,5265,5268,5275,5295,5319,
5326,5337,5342,5346]);
#############################################################################
#############################################################################
##
#E