GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
#############################################################################
##
#W tmhsmclm.tom GAP table of marks library Thomas Merkwitz
##
#H @(#)$Id: tmhsmclm.tom,v 4.2 2001/07/05 07:01:06 gap Exp $
##
#Y Copyright (C) 1997, Lehrstuhl D fuer Mathematik, RWTH Aachen, Germany
##
## This file contains the table of marks of maximal subgroups of $McL$ and
## $HS$.
##
#H tomlib history
#H --------------
#H $Log: tmhsmclm.tom,v $
#H Revision 4.2 2001/07/05 07:01:06 gap
#H first revision for tomlib
#H
#H
#H tom history (GAP 4)
#H -------------------
#H (Rev. 4.2 of tomlib coincides with Rev. 4.1 of tom in GAP 4)
#H
#H RCS file: /gap/CVS/GAP/4.0/tom/tmhsmclm.tom,v
#H Working file: tmhsmclm.tom
#H head: 4.1
#H branch:
#H locks: strict
#H access list:
#H symbolic names:
#H GAP4R2: 4.1.0.10
#H GAP4R2PRE2: 4.1.0.8
#H GAP4R2PRE1: 4.1.0.2
#H GAP4R1: 4.1.0.6
#H GAP4B5: 4.1.0.4
#H dec16-98b: 4.1
#H GAP4b4: 4.1
#H version-14-apr: 4.1
#H version-15-jun: 4.1
#H keyword substitution: kv
#H total revisions: 2; selected revisions: 2
#H description:
#H ----------------------------
#H revision 4.1
#H date: 1997/11/20 11:43:25; author: gap; state: Exp; lines: +2 -2
#H changed revision number to 4.1
#H ----------------------------
#H revision 1.1
#H date: 1997/11/17 13:00:06; author: gap; state: Exp;
#H added new table of marks library file
#H ==========================================================================
#H
Revision.tmhsmclm_tom :=
"@(#)$Id: tmhsmclm.tom,v 4.2 2001/07/05 07:01:06 gap Exp $";
SetActualLibFileName("tmhsmclm");
LIBTOM( "4^3:L3(2)",
[[1],[1,2],[1,3],[1,4],[1,5],[1,2,6],[1,2,7],[1,2,8],[1,2,3,9],[1,2,10],[1,2,
11],[1,2,4,12],[1,3,13],[1,3,14],[1,3,15],[1,3,16],[1,2,3,17],[1,2,4,18],[1,4,
19],[1,3,4,20],[1,3,4,21],[1,3,22],[1,3,23],[1,2,5,24],[1,3,5,25],[1,4,5,26],[
1,27],[1,2,6,28],[1,2,6,7,8,29],[1,2,6,8,30],[1,2,3,9,14,31],[1,2,11,32],[1,2,
3,9,13,33],[1,2,11,34],[1,2,6,10,35],[1,2,3,6,9,17,36],[1,2,6,11,37],[1,2,4,6,
12,18,38],[1,2,10,39],[1,2,4,12,19,40],[1,2,3,7,9,10,41],[1,2,4,11,12,42],[1,
2,4,8,11,12,43],[1,2,3,8,9,44],[1,2,4,11,12,45],[1,2,3,9,10,46],[1,2,4,8,12,
47],[1,2,4,7,11,12,48],[1,2,8,10,49],[1,2,8,11,50],[1,2,3,9,10,51],[1,2,3,8,9,
10,52],[1,2,8,53],[1,2,3,9,10,54],[1,2,4,11,12,55],[1,2,3,4,9,18,20,21,56],[1,
2,11,57],[1,2,3,9,23,58],[1,2,3,9,22,59],[1,2,3,6,9,10,60],[1,2,4,6,11,12,
61],[1,2,4,11,18,62],[1,2,3,11,17,63],[1,2,3,4,7,17,18,64],[1,2,3,9,15,16,17,
65],[1,2,3,4,8,17,18,66],[1,2,11,67],[1,2,3,4,12,17,18,20,21,68],[1,2,3,4,10,
17,18,69],[1,3,14,16,22,70],[1,3,4,13,21,22,71],[1,3,4,14,20,23,72],[1,3,13,
15,23,73],[1,3,5,13,74],[1,2,5,6,75],[1,3,5,14,76],[1,4,5,19,77],[1,3,5,16,
78],[1,2,4,5,18,24,26,79],[1,3,5,15,80],[1,2,5,7,24,81],[1,2,3,5,17,24,25,
82],[1,2,6,8,30,83],[1,2,6,7,8,28,29,30,84],[1,2,6,11,37,85],[1,2,3,6,9,15,16,
17,36,65,86],[1,2,6,8,11,30,37,50,87],[1,2,6,7,8,29,30,88],[1,2,3,6,8,9,17,30,
36,44,89],[1,2,4,6,8,12,18,30,38,47,90],[1,2,6,8,10,30,35,49,91],[1,2,3,7,9,
10,13,33,41,46,92],[1,2,4,7,11,12,34,42,48,93],[1,2,3,7,9,10,14,31,41,51,94],[
1,2,4,7,11,12,32,45,48,95],[1,2,3,6,7,8,9,10,17,29,35,36,41,52,96],[1,2,6,10,
11,35,37,97],[1,2,3,6,9,11,17,36,37,98],[1,2,4,6,11,12,18,37,38,62,99],[1,2,3,
4,6,9,12,17,18,20,21,36,38,56,68,100],[1,2,4,6,7,8,11,12,18,29,37,38,43,48,
101],[1,2,3,6,9,11,17,36,37,63,102],[1,2,4,6,11,12,18,28,37,38,61,103],[1,2,3,
6,9,10,17,28,35,36,60,104],[1,2,3,6,9,10,17,35,36,105],[1,2,4,7,11,12,19,40,
48,55,106],[1,2,3,7,9,10,39,41,54,107],[1,2,3,6,7,8,9,10,29,41,44,49,60,108],[
1,2,3,6,9,10,14,17,31,36,46,54,60,109],[1,2,4,8,11,12,32,34,43,50,55,110],[1,
2,3,8,9,10,39,46,49,51,52,111],[1,2,3,6,9,10,13,17,33,36,51,54,60,112],[1,2,6,
8,30,53,113],[1,2,6,7,8,29,53,114],[1,2,4,6,10,11,12,18,35,37,38,115],[1,2,3,
6,8,9,11,17,30,36,37,116],[1,2,3,4,6,7,8,9,12,17,18,29,36,38,64,66,117],[1,2,
4,8,11,12,19,40,42,43,45,47,118],[1,2,6,8,30,53,119],[1,2,4,6,7,8,11,12,29,47,
48,50,61,120],[1,2,3,4,6,9,10,12,17,18,35,36,38,69,121],[1,2,6,11,37,67,122],[
1,2,4,6,8,10,12,18,30,35,38,123],[1,2,6,7,8,10,11,29,35,37,124],[1,2,3,6,8,9,
10,30,44,49,52,60,125],[1,2,4,6,11,12,32,37,42,55,61,126],[1,2,3,6,9,17,22,36,
59,127],[1,2,4,6,11,12,34,37,45,55,61,128],[1,2,3,6,9,17,23,36,58,129],[1,2,3,
8,9,10,13,14,31,33,44,52,54,130],[1,2,6,11,37,57,131],[1,2,4,6,8,11,12,30,43,
47,50,61,132],[1,2,3,7,9,10,22,23,41,58,59,133],[1,2,3,4,9,13,18,20,21,22,33,
56,59,71,134],[1,2,3,4,9,14,18,20,21,23,31,56,58,72,135],[1,2,3,8,9,10,44,46,
49,51,52,54,136],[1,2,3,4,8,11,12,17,18,20,21,43,62,63,66,68,137],[1,2,4,11,
18,32,57,62,138],[1,2,3,8,9,11,44,50,53,139],[1,2,3,4,7,9,10,15,16,17,18,20,
21,41,56,64,65,69,140],[1,2,3,6,9,10,35,39,46,51,54,60,141],[1,2,3,4,7,11,12,
17,18,20,21,48,62,63,64,68,142],[1,2,3,4,8,9,12,44,47,53,143],[1,2,3,11,17,34,
57,63,144],[1,2,3,4,11,12,17,45,57,63,145],[1,2,3,9,14,15,16,17,22,31,59,65,
70,146],[1,2,4,8,11,12,43,57,67,147],[1,2,4,7,11,12,48,57,67,148],[1,2,8,10,
11,49,50,53,149],[1,2,3,11,17,32,63,67,150],[1,2,3,4,11,12,17,42,63,67,151],[
1,2,3,9,10,15,16,17,22,46,59,65,152],[1,2,4,8,11,12,42,43,45,47,50,55,153],[1,
2,3,4,9,10,18,20,21,22,51,56,59,154],[1,2,4,8,10,12,47,49,53,155],[1,2,4,6,11,
12,18,19,38,40,42,45,55,61,156],[1,2,3,9,13,15,16,17,23,33,58,65,73,157],[1,2,
4,11,12,18,45,62,67,158],[1,2,3,4,9,10,18,20,21,23,46,56,58,159],[1,2,3,8,9,
10,22,23,52,58,59,160],[1,2,4,11,18,34,62,67,161],[1,2,3,4,8,9,10,15,16,17,18,
20,21,52,56,65,66,69,162],[1,2,3,9,10,15,16,17,23,51,58,65,163],[1,2,4,11,12,
18,42,57,62,164],[1,5,27,165],[1,2,5,11,24,32,166],[1,2,3,5,9,13,24,33,74,
167],[1,2,3,5,9,14,24,31,76,168],[1,2,5,6,24,28,75,169],[1,2,5,11,24,34,170],[
1,3,4,5,14,20,23,26,72,76,171],[1,3,4,5,13,21,22,26,71,74,172],[1,2,5,10,24,
39,173],[1,3,5,13,15,23,25,73,74,174],[1,3,5,14,16,22,25,70,76,175],[1,2,3,5,
6,9,10,25,60,75,176],[1,2,4,5,6,11,12,26,61,75,177],[1,2,4,5,12,19,24,40,77,
178],[1,3,5,13,15,23,25,73,80,179],[1,3,5,14,16,22,25,70,78,180],[1,2,3,4,5,7,
17,18,24,25,26,64,79,81,82,181],[1,2,6,7,8,28,29,30,83,84,88,182],[1,2,4,6,11,
12,18,28,37,38,61,62,85,99,103,183],[1,2,3,6,9,10,15,16,17,28,35,36,60,65,86,
104,105,184],[1,2,4,6,7,8,11,12,18,28,29,30,37,38,43,47,48,50,61,84,87,90,101,
103,120,132,185],[1,2,3,4,6,7,8,9,12,17,18,29,30,36,38,44,47,64,66,88,89,90,
117,186],[1,2,6,7,8,10,11,29,30,35,37,49,50,87,88,91,124,187],[1,2,3,6,7,8,9,
10,17,28,29,30,35,36,41,44,49,52,60,84,89,91,96,104,108,125,188],[1,2,3,6,8,9,
11,17,30,36,37,44,50,83,87,89,116,189],[1,2,4,6,8,10,12,18,30,35,38,47,49,83,
90,91,123,190],[1,2,3,6,9,10,13,14,17,28,31,33,35,36,39,46,51,54,60,104,109,
112,141,191],[1,2,4,6,11,12,18,19,28,32,34,37,38,40,42,45,55,61,103,126,128,
156,192],[1,2,3,6,8,9,10,30,35,39,44,46,49,51,52,54,60,91,111,125,136,141,
193],[1,2,3,6,8,9,11,15,16,17,30,36,37,44,63,65,86,89,98,102,116,194],[1,2,3,
4,6,9,10,11,12,17,18,28,35,36,37,38,60,61,63,69,97,102,103,104,121,195],[1,2,
3,6,7,8,9,10,11,17,29,35,36,37,41,52,96,97,98,105,124,196],[1,2,3,6,8,9,11,17,
30,36,37,50,63,85,87,98,102,116,197],[1,2,6,7,8,28,29,30,53,84,113,114,119,
198],[1,2,3,4,6,8,9,10,12,17,18,20,21,30,35,36,38,44,56,68,69,89,100,105,121,
123,199],[1,2,3,6,8,9,17,30,36,44,53,89,113,200],[1,2,3,4,6,7,8,9,10,12,15,16,
17,18,20,21,29,35,36,38,41,52,56,64,65,66,68,69,86,96,100,117,121,140,162,
201],[1,2,4,6,8,12,18,30,38,47,53,90,119,202],[1,2,3,6,8,9,17,23,30,36,44,58,
89,129,203],[1,2,6,8,11,30,37,50,67,87,122,204],[1,2,3,6,8,9,17,22,30,36,44,
59,89,127,205],[1,2,6,8,10,30,35,49,53,91,113,206],[1,2,6,8,11,30,37,50,57,87,
131,207],[1,2,4,6,8,11,12,18,19,30,38,40,42,43,45,47,50,55,61,90,118,132,153,
156,208],[1,2,3,4,6,7,8,9,11,12,17,18,20,21,29,36,37,38,43,48,56,62,63,64,66,
68,99,100,101,102,117,137,142,209],[1,2,3,6,8,9,10,13,14,17,30,31,33,36,44,46,
49,51,52,54,60,89,109,112,125,130,136,210],[1,2,4,6,8,10,11,12,18,30,35,37,38,
50,62,87,97,99,115,123,211],[1,2,6,8,11,30,37,50,53,87,119,212],[1,2,4,6,7,8,
10,11,12,18,29,35,37,38,43,48,85,97,101,115,124,213],[1,2,3,4,6,9,10,11,12,17,
18,20,21,28,35,36,37,38,56,60,61,68,98,100,103,104,115,214],[1,2,4,6,8,11,12,
30,32,34,37,42,43,45,47,50,55,61,87,110,126,128,132,153,215],[1,2,3,4,6,8,9,
10,11,12,17,18,30,35,36,37,38,49,69,91,97,105,115,116,121,123,216],[1,2,3,4,6,
7,8,9,10,11,12,17,18,29,30,35,36,37,38,41,43,48,52,64,66,88,96,101,116,117,
123,124,217],[1,2,3,6,8,9,10,11,30,37,44,49,50,52,53,60,87,113,125,139,149,
218],[1,2,3,6,7,8,9,10,13,14,17,29,31,33,35,36,39,41,44,46,49,51,52,54,60,92,
94,96,107,108,109,111,112,130,136,141,219],[1,2,3,4,6,8,9,10,12,18,30,38,44,
47,49,52,53,60,90,113,125,143,155,220],[1,2,3,6,7,8,9,10,17,22,23,29,35,36,41,
52,58,59,96,127,129,133,160,221],[1,2,3,6,9,10,11,14,17,22,31,36,37,46,54,59,
60,98,109,127,222],[1,2,3,4,6,8,9,11,12,17,30,36,43,44,47,50,53,61,89,119,132,
139,143,223],[1,2,3,4,6,9,10,12,14,17,18,20,21,23,31,36,38,46,54,56,58,60,68,
72,100,109,129,135,159,224],[1,2,3,6,9,10,14,15,16,17,22,31,36,46,54,59,60,65,
70,86,109,127,146,152,225],[1,2,4,6,8,11,12,30,43,47,50,53,61,83,119,132,
226],[1,2,4,6,11,12,32,37,42,55,61,67,85,122,126,227],[1,2,3,4,6,7,8,9,10,11,
12,17,18,28,29,30,35,36,37,38,60,61,64,66,84,103,104,116,117,123,124,228],[1,
2,3,6,9,10,13,15,16,17,23,33,36,51,54,58,60,65,73,86,112,129,157,163,229],[1,
2,3,6,9,10,13,17,22,33,35,36,51,54,59,60,105,112,127,230],[1,2,3,4,6,8,9,10,
11,12,17,18,20,21,30,35,36,37,38,47,56,62,68,69,90,99,100,115,116,121,123,
231],[1,2,4,6,7,8,11,12,18,19,29,32,34,37,38,40,42,43,45,47,48,50,55,61,93,95,
101,106,110,118,120,126,128,153,156,232],[1,2,4,6,11,12,18,28,37,38,57,61,67,
103,122,131,233],[1,2,4,6,10,11,12,32,35,37,42,55,57,61,97,126,131,234],[1,2,
3,4,6,7,8,9,10,11,12,17,18,29,35,36,37,38,43,48,62,64,66,69,98,99,101,115,117,
121,124,235],[1,2,3,6,9,10,14,17,23,31,35,36,46,54,58,60,105,109,129,236],[1,
2,3,4,6,9,11,12,17,32,36,37,42,55,61,63,67,102,122,126,150,151,237],[1,2,4,6,
7,8,11,12,18,29,37,38,43,48,57,67,101,122,131,147,148,238],[1,2,3,4,6,9,10,12,
13,17,18,20,21,22,33,36,38,51,54,56,59,60,68,71,100,112,127,134,154,239],[1,2,
4,6,7,8,11,12,29,30,43,47,50,53,61,88,119,132,240],[1,2,3,6,9,10,11,13,17,23,
33,36,37,51,54,58,60,98,112,129,241],[1,2,4,6,8,10,11,12,30,35,43,47,49,50,53,
61,91,119,132,149,155,242],[1,2,6,7,8,29,30,53,88,114,243],[1,2,3,6,8,9,10,30,
44,49,52,53,60,83,113,125,244],[1,2,3,6,7,8,9,10,29,30,44,49,52,53,60,88,113,
125,245],[1,2,4,6,10,11,12,34,35,37,45,55,61,67,97,122,128,246],[1,2,4,6,11,
12,18,32,37,38,42,55,57,61,62,99,126,131,138,164,247],[1,2,3,4,6,7,8,9,10,11,
12,17,18,29,35,36,37,38,41,52,63,64,66,69,96,102,105,115,117,121,124,248],[1,
2,3,4,6,9,11,12,17,34,36,37,45,55,57,61,63,102,128,131,144,145,249],[1,2,4,6,
11,12,18,34,37,38,45,55,61,62,67,99,122,128,158,161,250],[1,2,4,6,11,12,34,37,
45,55,57,61,85,128,131,251],[1,2,3,6,9,10,17,22,23,28,35,36,58,59,60,104,127,
129,252],[1,2,3,4,7,11,12,17,18,20,21,32,45,48,57,62,63,64,67,68,95,138,142,
145,148,150,158,253],[1,2,3,4,8,9,10,13,14,15,16,17,18,20,21,22,23,31,33,44,
52,54,56,58,59,65,66,69,70,71,72,73,130,134,135,146,157,160,162,254],[1,2,3,4,
8,11,12,17,18,20,21,32,34,43,50,55,57,62,63,66,67,68,110,137,138,144,147,150,
161,255],[1,2,3,4,8,11,12,17,18,19,20,21,40,42,43,45,47,57,62,63,66,67,68,118,
137,145,147,151,158,164,256],[1,2,3,4,8,9,10,15,16,17,18,20,21,22,23,39,46,49,
51,52,56,58,59,65,66,69,111,152,154,159,160,162,163,257],[1,2,3,4,7,11,12,17,
18,20,21,34,42,48,57,62,63,64,67,68,93,142,144,148,151,161,164,258],[1,2,3,4,
7,9,10,14,15,16,17,18,20,21,22,23,31,41,51,56,58,59,64,65,69,70,72,94,133,135,
140,146,154,163,259],[1,2,3,4,6,7,8,9,10,11,12,29,41,44,47,48,49,50,53,60,61,
108,114,120,139,143,149,155,260],[1,2,3,4,7,9,10,13,15,16,17,18,20,21,22,23,
33,41,46,56,58,59,64,65,69,71,73,92,133,134,140,152,157,159,261],[1,2,5,6,8,
30,75,83,262],[1,2,3,5,6,9,15,16,17,36,65,75,78,80,86,263],[1,2,5,6,11,37,75,
85,264],[1,2,3,5,7,9,10,13,24,33,41,46,74,81,92,167,265],[1,2,3,4,5,9,14,18,
20,21,23,24,26,31,56,58,72,76,79,135,168,171,266],[1,2,3,4,5,9,13,18,20,21,22,
24,26,33,56,59,71,74,79,134,167,172,267],[1,2,5,6,7,8,24,28,29,30,75,81,84,
169,268],[1,2,3,5,9,14,15,16,17,22,24,25,31,59,65,70,76,82,146,168,175,269],[
1,2,4,5,11,18,24,26,34,62,67,79,161,170,270],[1,2,3,5,7,9,10,14,24,31,41,51,
76,81,94,168,271],[1,2,3,5,9,13,15,16,17,23,24,25,33,58,65,73,74,82,157,167,
174,272],[1,2,3,5,6,9,10,17,24,25,28,35,36,60,75,82,104,169,176,273],[1,2,3,5,
11,17,24,25,32,63,67,82,150,166,274],[1,2,4,5,7,11,12,24,32,45,48,81,95,166,
275],[1,2,4,5,11,18,24,26,32,57,62,79,138,166,276],[1,2,4,5,7,11,12,24,34,42,
48,81,93,170,277],[1,2,3,5,11,17,24,25,34,57,63,82,144,170,278],[1,2,4,5,6,11,
12,18,24,26,28,37,38,61,75,79,103,169,177,279],[1,2,4,5,7,11,12,19,24,40,48,
55,77,81,106,178,280],[1,2,3,5,7,9,10,24,39,41,54,81,107,173,281],[1,2,6,27,
28,282],[1,2,6,7,8,28,29,30,83,84,88,182,283],[1,2,3,6,8,9,11,15,16,17,30,36,
37,44,50,63,65,83,85,86,87,89,98,102,116,189,194,197,284],[1,2,3,6,7,8,9,10,
13,14,17,28,29,30,31,33,35,36,39,41,44,46,49,51,52,54,60,84,89,91,92,94,96,
104,107,108,109,111,112,125,130,136,141,188,191,193,210,219,285],[1,2,4,6,7,8,
11,12,18,19,28,29,30,32,34,37,38,40,42,43,45,47,48,50,55,61,84,87,90,93,95,
101,103,106,110,118,120,126,128,132,153,156,185,192,208,215,232,286],[1,2,6,7,
8,28,29,30,53,84,113,114,119,198,287],[1,2,6,7,8,10,11,29,30,35,37,49,50,57,
87,88,91,124,131,187,207,288],[1,2,3,4,6,8,9,10,11,12,17,18,20,21,30,35,36,37,
38,44,47,49,50,56,62,68,69,83,87,89,90,91,97,99,100,105,115,116,121,123,189,
190,199,211,216,231,289],[1,2,3,4,6,7,8,9,10,11,12,17,18,28,29,30,35,36,37,38,
41,43,44,47,48,49,50,52,60,61,64,66,83,84,87,88,89,90,91,96,101,103,104,108,
116,117,120,123,124,125,132,182,185,186,187,188,189,190,217,228,290],[1,2,6,7,
8,10,11,29,30,35,37,49,50,67,87,88,91,122,124,187,204,291],[1,2,3,6,7,8,9,10,
17,28,29,30,35,36,41,44,49,52,53,60,84,89,91,96,104,108,113,114,119,125,188,
198,200,206,292],[1,2,3,4,6,7,8,9,12,17,18,23,29,30,36,38,44,47,58,64,66,88,
89,90,117,129,186,203,293],[1,2,4,6,7,8,11,12,18,28,29,30,37,38,43,47,48,50,
53,61,84,87,90,101,103,113,114,119,120,132,185,198,202,212,294],[1,2,3,4,6,7,
8,9,12,17,18,22,29,30,36,38,44,47,59,64,66,88,89,90,117,127,186,205,295],[1,2,
6,7,8,28,29,30,53,83,84,88,113,114,119,182,198,243,296],[1,2,3,6,8,9,10,11,13,
14,15,16,17,22,30,31,33,36,37,44,46,49,51,52,54,59,60,63,65,70,86,89,98,102,
109,112,116,125,127,130,136,146,152,194,205,210,222,225,297],[1,2,3,4,6,7,8,9,
10,11,12,17,18,29,30,35,36,37,38,41,43,48,49,50,52,62,63,64,66,69,85,87,88,91,
96,97,98,99,101,102,105,115,116,117,121,123,124,187,196,197,211,213,216,217,
235,248,298],[1,2,3,4,6,8,9,10,12,13,14,17,18,20,21,22,30,31,33,35,36,38,44,
46,49,51,52,54,56,59,60,68,69,71,89,100,105,109,112,121,123,125,127,130,134,
136,154,199,205,210,230,239,299],[1,2,6,7,8,10,11,29,30,35,37,49,50,53,87,88,
91,114,124,187,243,300],[1,2,3,6,8,9,11,17,22,23,30,36,37,44,50,58,59,83,87,
89,116,127,129,189,203,205,301],[1,2,3,6,8,9,11,17,30,36,37,44,50,57,67,83,87,
89,116,122,131,189,204,207,302],[1,2,3,6,8,9,10,11,13,14,17,30,31,33,36,37,44,
46,49,50,51,52,53,54,60,83,87,89,109,112,113,116,125,130,136,139,149,189,200,
210,218,244,303],[1,2,3,6,8,9,10,11,13,14,15,16,17,23,30,31,33,36,37,44,46,49,
51,52,54,58,60,63,65,73,86,89,98,102,109,112,116,125,129,130,136,157,163,194,
203,210,229,241,304],[1,2,3,4,6,7,8,9,10,11,12,17,18,28,29,30,35,36,37,38,41,
43,44,47,48,49,50,52,53,60,61,84,87,89,90,91,96,101,103,104,108,113,114,119,
120,125,132,139,143,149,155,185,188,198,218,220,223,242,260,305],[1,2,3,4,6,8,
9,11,12,17,30,32,34,36,37,42,43,44,45,47,50,53,55,61,83,87,89,110,116,119,126,
128,132,139,143,153,189,212,215,223,226,306],[1,2,3,4,6,7,8,9,10,12,13,14,17,
18,29,30,31,33,36,38,44,46,47,49,51,52,53,54,60,64,66,88,89,90,109,112,113,
117,125,130,136,143,155,186,200,210,220,245,307],[1,2,3,6,7,8,9,10,17,28,29,
30,35,36,41,44,49,52,53,60,83,84,88,89,91,96,104,108,113,114,119,125,182,188,
198,244,245,308],[1,2,4,6,7,8,11,12,18,28,29,30,37,38,43,47,48,50,57,61,67,84,
87,90,101,103,120,122,131,132,147,148,185,204,207,233,238,309],[1,2,3,6,8,9,
11,15,16,17,23,30,36,37,44,53,58,63,65,86,89,98,102,113,116,129,194,200,203,
310],[1,2,3,4,6,8,9,10,12,17,18,20,21,23,30,35,36,38,44,53,56,58,68,69,89,100,
105,113,121,123,129,199,200,203,311],[1,2,3,6,7,8,9,10,17,22,23,28,29,30,35,
36,41,44,49,52,58,59,60,84,89,91,96,104,108,125,127,129,133,160,188,203,205,
221,252,312],[1,2,3,6,7,8,9,10,11,29,30,35,37,39,44,46,49,50,51,52,53,54,60,
87,88,91,111,113,124,125,136,139,141,149,187,193,206,218,245,313],[1,2,3,4,6,
8,9,10,12,13,14,17,18,20,21,23,30,31,33,35,36,38,44,46,49,51,52,54,56,58,60,
68,69,72,89,100,105,109,112,121,123,125,129,130,135,136,159,199,203,210,224,
236,314],[1,2,4,6,7,8,10,11,12,29,30,32,34,35,37,42,43,45,47,49,50,53,55,61,
87,88,91,110,119,124,126,128,132,149,153,155,187,212,215,240,242,315],[1,2,3,
4,6,8,9,10,12,18,30,35,38,39,44,46,47,49,51,52,53,54,60,83,90,91,111,113,123,
125,136,141,143,155,190,193,206,220,244,316],[1,2,3,4,6,7,8,9,10,11,12,15,16,
17,18,20,21,29,30,35,36,37,38,41,43,44,47,48,52,56,62,63,64,65,66,68,69,86,88,
89,90,96,98,99,100,101,102,105,115,116,117,121,123,124,137,140,142,162,186,
194,199,201,209,217,231,235,248,317],[1,2,3,6,8,9,11,15,16,17,22,30,36,37,44,
53,59,63,65,86,89,98,102,113,116,127,194,200,205,318],[1,2,4,6,8,10,11,12,18,
30,32,34,35,37,38,42,43,45,47,50,55,57,61,62,87,97,99,110,115,123,126,128,131,
132,138,153,164,207,211,215,234,247,319],[1,2,3,4,6,8,9,10,12,17,18,20,21,22,
30,35,36,38,44,53,56,59,68,69,89,100,105,113,121,123,127,199,200,205,320],[1,
2,3,4,6,7,8,9,10,11,12,17,18,20,21,28,29,30,35,36,37,38,43,47,48,50,56,60,61,
62,63,64,66,68,69,84,85,87,90,97,98,99,100,101,102,103,104,115,116,117,120,
121,123,124,132,137,142,183,185,195,197,209,211,213,214,228,231,235,321],[1,2,
3,4,6,8,9,11,12,17,30,32,34,36,37,42,43,45,47,50,55,57,61,63,85,87,98,102,110,
116,126,128,131,132,144,145,153,197,207,215,249,251,322],[1,2,3,6,8,9,11,17,
30,36,37,50,53,63,67,85,87,98,102,116,119,122,197,204,212,323],[1,2,4,6,8,10,
11,12,18,30,35,37,38,50,53,57,62,87,97,99,115,119,123,131,207,211,212,324],[1,
2,3,4,6,8,9,11,12,17,30,32,34,36,37,42,43,45,47,50,55,61,63,67,85,87,98,102,
110,116,122,126,128,132,150,151,153,197,204,215,227,237,325],[1,2,3,4,6,7,8,9,
10,11,12,15,16,17,18,20,21,28,29,30,35,36,37,38,41,44,49,52,56,60,61,63,64,65,
66,68,69,84,86,89,91,96,97,98,100,102,103,104,105,108,115,116,117,121,123,124,
125,140,162,184,188,194,195,196,199,201,214,216,228,248,326],[1,2,4,6,8,10,11,
12,18,30,32,34,35,37,38,42,43,45,47,50,55,61,62,67,87,97,99,110,115,122,123,
126,128,132,153,158,161,204,211,215,246,250,327],[1,2,3,4,6,7,8,9,12,17,18,29,
30,36,38,44,47,53,64,66,88,89,90,114,117,186,243,328],[1,2,4,6,8,10,11,12,18,
19,30,35,38,40,42,43,45,47,49,50,53,55,61,83,90,91,118,119,123,132,149,153,
155,156,190,202,208,226,242,329],[1,2,4,6,8,10,11,12,18,30,35,37,38,50,53,62,
67,87,97,99,115,119,122,123,204,211,212,330],[1,2,3,4,6,7,8,9,11,12,17,18,19,
29,30,36,38,40,42,43,44,45,47,50,53,55,61,64,66,88,89,90,117,118,119,132,139,
143,153,156,186,202,208,223,240,331],[1,2,4,6,7,8,11,12,18,28,29,30,37,38,43,
47,48,50,53,61,83,84,87,88,90,101,103,113,114,119,120,132,182,185,198,226,240,
332],[1,2,3,6,8,9,11,17,30,36,37,50,53,57,63,85,87,98,102,116,119,131,197,207,
212,333],[1,2,3,4,6,9,10,11,12,13,14,17,18,20,21,22,23,28,31,33,35,36,37,38,
39,46,51,54,56,58,59,60,61,68,71,72,98,100,103,104,109,112,115,127,129,134,
135,141,154,159,191,214,222,224,239,241,252,334],[1,2,4,6,7,8,10,11,12,18,19,
29,32,34,35,37,38,40,42,43,45,47,48,50,55,57,61,67,85,93,95,97,101,106,110,
115,118,120,122,124,126,128,131,147,148,153,156,213,227,232,234,238,246,251,
335],[1,2,3,4,6,7,8,9,11,12,17,18,19,20,21,29,32,34,36,37,38,40,42,43,45,47,
48,50,55,56,57,61,62,63,64,66,67,68,93,95,99,100,101,102,106,110,117,118,120,
122,126,128,131,137,138,142,144,145,147,148,150,151,153,156,158,161,164,209,
232,237,238,247,249,250,253,255,256,258,336],[1,2,3,4,6,9,10,11,12,17,18,19,
28,32,34,35,36,37,38,40,42,45,55,57,60,61,63,67,69,97,102,103,104,121,122,126,
128,131,144,145,150,151,156,192,195,233,234,237,246,249,337],[1,2,3,6,9,10,13,
14,15,16,17,22,23,28,31,33,35,36,39,46,51,54,58,59,60,65,70,73,86,104,105,109,
112,127,129,141,146,152,157,163,184,191,225,229,230,236,252,338],[1,2,4,6,11,
12,18,19,28,32,34,37,38,40,42,45,55,57,61,62,67,85,99,103,122,126,128,131,138,
156,158,161,164,183,192,227,233,247,250,251,339],[1,2,3,4,6,7,8,9,10,12,13,14,
15,16,17,18,20,21,22,23,29,31,33,35,36,38,39,41,44,46,49,51,52,54,56,58,59,60,
64,65,66,68,69,70,71,72,73,86,92,94,96,100,107,108,109,111,112,117,121,127,
129,130,133,134,135,136,140,141,146,152,154,157,159,160,162,163,201,219,221,
224,225,229,239,254,257,259,261,340],[1,2,3,6,7,8,9,10,11,13,14,17,22,23,29,
31,33,35,36,37,39,41,44,46,49,51,52,54,58,59,60,92,94,96,97,98,105,107,108,
109,111,112,124,127,129,130,133,136,141,160,196,219,221,222,230,236,241,341],[
1,2,3,5,6,9,10,13,14,17,24,28,31,33,35,36,39,46,51,54,60,74,75,76,104,109,112,
141,167,168,169,173,191,342],[1,2,5,6,7,8,24,28,29,30,75,83,84,88,169,182,262,
343],[1,2,4,5,6,11,12,18,19,24,28,32,34,37,38,40,42,45,55,61,75,77,103,126,
128,156,166,169,170,178,192,344],[1,2,3,5,6,9,10,14,15,16,17,22,25,31,36,46,
54,59,60,65,70,75,78,80,86,109,127,146,152,176,180,225,263,345],[1,2,3,5,6,9,
10,15,16,17,24,28,35,36,60,65,75,78,80,86,104,105,169,184,263,346],[1,2,3,5,6,
8,9,10,25,30,44,49,52,53,60,75,83,113,125,176,244,262,347],[1,2,3,5,6,9,10,13,
15,16,17,23,25,33,36,51,54,58,60,65,73,75,78,80,86,112,129,157,163,176,179,
229,263,348],[1,2,4,5,6,8,11,12,26,30,43,47,50,53,61,75,83,119,132,177,226,
262,349],[1,2,4,5,6,11,12,26,32,37,42,55,61,67,75,85,122,126,177,227,264,
350],[1,2,4,5,6,11,12,26,34,37,45,55,57,61,75,85,128,131,177,251,264,351],[1,
2,4,5,6,11,12,18,24,28,37,38,61,62,75,85,99,103,169,183,264,352],[1,2,3,4,5,6,
7,8,9,10,11,12,17,18,24,25,26,28,29,30,35,36,37,38,60,61,64,66,75,79,81,82,84,
103,104,116,117,123,124,169,176,177,181,228,268,273,279,353],[1,2,3,4,5,7,9,
10,13,15,16,17,18,20,21,22,23,24,25,26,33,41,46,56,58,59,64,65,69,71,73,74,79,
81,82,92,133,134,140,152,157,159,167,172,174,181,261,265,267,272,354],[1,2,3,
4,5,7,11,12,17,18,20,21,24,25,26,32,45,48,57,62,63,64,67,68,79,81,82,95,138,
142,145,148,150,158,166,181,253,274,275,276,355],[1,2,3,4,5,7,9,10,14,15,16,
17,18,20,21,22,23,24,25,26,31,41,51,56,58,59,64,65,69,70,72,76,79,81,82,94,
133,135,140,146,154,163,168,171,175,181,259,266,269,271,356],[1,2,3,4,5,7,11,
12,17,18,20,21,24,25,26,34,42,48,57,62,63,64,67,68,79,81,82,93,142,144,148,
151,161,164,170,181,258,270,277,278,357],[1,2,3,4,6,7,8,9,10,11,12,15,16,17,
18,20,21,28,29,30,35,36,37,38,41,43,44,47,48,49,50,52,56,60,61,62,63,64,65,66,
68,69,83,84,85,86,87,88,89,90,91,96,97,98,99,100,101,102,103,104,105,108,115,
116,117,120,121,123,124,125,132,137,140,142,162,182,183,184,185,186,187,188,
189,190,194,195,196,197,199,201,209,211,213,214,216,217,228,231,235,248,284,
289,290,298,317,321,326,358],[1,2,3,4,6,7,8,9,10,11,12,13,14,17,18,28,29,30,
31,33,35,36,37,38,39,41,43,44,46,47,48,49,50,51,52,53,54,60,61,64,66,83,84,87,
88,89,90,91,92,94,96,101,103,104,107,108,109,111,112,113,114,116,117,119,120,
123,124,125,130,132,136,139,141,143,149,155,182,185,186,187,188,189,190,191,
193,198,200,206,210,217,218,219,220,223,228,242,244,245,260,285,290,292,303,
305,307,308,313,316,359],[1,2,3,4,6,7,8,9,10,11,12,17,18,22,23,28,29,30,35,36,
37,38,41,43,44,47,48,49,50,52,58,59,60,61,64,66,83,84,87,88,89,90,91,96,101,
103,104,108,116,117,120,123,124,125,127,129,132,133,160,182,185,186,187,188,
189,190,203,205,217,221,228,252,290,293,295,301,312,360],[1,2,3,4,6,7,8,9,10,
11,12,17,18,28,29,30,35,36,37,38,41,43,44,47,48,49,50,52,53,60,61,64,66,83,84,
87,88,89,90,91,96,101,103,104,108,113,114,116,117,119,120,123,124,125,132,182,
185,186,187,188,189,190,198,217,226,228,240,243,244,245,283,290,296,308,332,
361],[1,2,3,4,6,7,8,9,10,11,12,17,18,28,29,30,35,36,37,38,41,43,44,47,48,49,
50,52,57,60,61,64,66,67,83,84,87,88,89,90,91,96,101,103,104,108,116,117,120,
122,123,124,125,131,132,147,148,182,185,186,187,188,189,190,204,207,217,228,
233,238,288,290,291,302,309,362],[1,2,3,4,6,7,8,9,10,11,12,17,18,28,29,30,35,
36,37,38,41,43,44,47,48,49,50,52,53,60,61,64,66,83,84,87,88,89,90,91,96,101,
103,104,108,113,114,116,117,119,120,123,124,125,132,182,185,186,187,188,189,
190,198,217,228,243,290,296,300,328,363],[1,2,3,4,6,7,8,9,10,11,12,17,18,19,
28,29,30,32,34,35,36,37,38,40,41,42,43,44,45,47,48,49,50,52,53,55,60,61,64,66,
83,84,87,88,89,90,91,93,95,96,101,103,104,106,108,110,113,114,116,117,118,119,
120,123,124,125,126,128,132,139,143,149,153,155,156,182,185,186,187,188,189,
190,192,198,202,208,212,215,217,218,220,223,226,228,232,240,242,260,286,290,
294,305,306,315,329,331,332,364],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,
20,21,22,23,28,29,30,31,33,35,36,37,38,39,41,44,46,49,51,52,54,56,58,59,60,61,
63,64,65,66,68,69,70,71,72,73,84,86,89,91,92,94,96,97,98,100,102,103,104,105,
107,108,109,111,112,115,116,117,121,123,124,125,127,129,130,133,134,135,136,
140,141,146,152,154,157,159,160,162,163,184,188,191,193,194,195,196,199,201,
203,205,210,214,216,219,221,222,224,225,228,229,230,236,239,241,248,252,254,
257,259,261,285,297,299,304,312,314,326,334,338,340,341,365],[1,2,3,4,6,7,8,9,
10,11,12,13,14,15,16,17,18,20,21,23,29,30,31,33,35,36,37,38,41,43,44,46,47,48,
49,51,52,53,54,56,58,60,62,63,64,65,66,68,69,72,73,86,88,89,90,96,98,99,100,
101,102,105,109,112,113,115,116,117,121,123,124,125,129,130,135,136,137,140,
142,143,155,157,159,162,163,186,194,199,200,201,203,209,210,217,220,224,229,
231,235,236,241,245,248,293,304,307,310,311,314,317,366],[1,2,3,4,6,8,9,10,11,
12,13,14,17,18,20,21,22,23,30,31,33,35,36,37,38,44,46,47,49,50,51,52,53,54,56,
58,59,60,62,68,69,71,72,83,87,89,90,91,97,99,100,105,109,112,113,115,116,121,
123,125,127,129,130,134,135,136,139,149,154,159,189,190,199,200,203,205,210,
211,216,218,224,230,231,236,239,244,289,299,301,303,311,314,320,367],[1,2,3,4,
6,7,8,9,11,12,17,18,19,23,29,30,36,38,40,42,43,44,45,47,50,53,55,58,61,64,66,
88,89,90,114,117,118,119,129,132,139,143,153,156,186,202,203,208,223,240,243,
293,328,331,368],[1,2,3,6,8,9,10,11,13,14,15,16,17,22,23,30,31,33,36,37,44,46,
49,50,51,52,53,54,58,59,60,63,65,70,73,83,85,86,87,89,98,102,109,112,113,116,
125,127,129,130,136,139,146,149,152,157,163,189,194,197,200,203,205,210,218,
222,225,229,241,244,284,297,301,303,304,310,318,369],[1,2,3,6,7,8,9,10,11,29,
30,35,37,39,44,46,49,50,51,52,53,54,60,67,87,88,91,111,113,114,122,124,125,
136,139,141,149,187,193,204,206,218,243,245,291,300,313,370],[1,2,3,6,7,8,9,
10,11,29,30,35,37,39,44,46,49,50,51,52,53,54,57,60,87,88,91,111,113,114,124,
125,131,136,139,141,149,187,193,206,207,218,243,245,288,300,313,371],[1,2,3,4,
6,7,8,9,11,12,17,18,19,22,29,30,36,38,40,42,43,44,45,47,50,53,55,59,61,64,66,
88,89,90,114,117,118,119,127,132,139,143,153,156,186,202,205,208,223,240,243,
295,328,331,372],[1,2,3,4,6,7,8,9,10,11,12,17,18,28,29,30,35,36,37,38,41,43,
44,47,48,49,50,52,53,60,61,83,84,87,88,89,90,91,96,101,103,104,108,113,114,
119,120,125,132,139,143,149,155,182,185,188,198,200,202,206,212,218,220,223,
226,240,242,243,244,245,260,287,292,294,296,305,308,332,373],[1,2,3,4,6,8,9,
11,12,15,16,17,30,32,34,36,37,42,43,44,45,47,50,53,55,57,61,63,65,67,83,85,86,
87,89,98,102,110,116,119,122,126,128,131,132,139,143,144,145,150,151,153,189,
194,197,204,207,212,215,223,226,227,237,249,251,284,302,306,322,323,325,333,
374],[1,2,3,4,6,8,9,10,11,12,17,18,20,21,30,32,34,35,36,37,38,42,43,44,45,47,
49,50,53,55,56,57,61,62,67,68,69,83,87,89,90,91,97,99,100,105,110,115,116,119,
121,122,123,126,128,131,132,138,139,143,153,158,161,164,189,190,199,204,207,
211,212,215,216,223,226,231,234,246,247,250,289,302,306,319,324,327,330,375],[
1,2,3,4,6,7,8,9,10,11,12,17,18,29,30,32,34,35,36,37,38,41,42,43,45,47,48,49,
50,52,53,55,57,61,62,63,64,66,69,85,87,88,91,96,97,98,99,101,102,105,110,115,
116,117,119,121,123,124,126,128,131,132,138,144,145,149,153,155,164,187,196,
197,207,211,212,213,215,216,217,234,235,240,242,247,248,249,251,288,298,315,
319,322,324,333,376],[1,2,3,4,6,7,8,9,10,11,12,17,18,19,20,21,28,29,30,32,34,
35,36,37,38,40,42,43,45,47,48,50,55,56,57,60,61,62,63,64,66,67,68,69,84,85,87,
90,93,95,97,98,99,100,101,102,103,104,106,110,115,116,117,118,120,121,122,123,
124,126,128,131,132,137,138,142,144,145,147,148,150,151,153,156,158,161,164,
183,185,192,195,197,204,207,208,209,211,213,214,215,227,228,231,232,233,234,
235,237,238,246,247,249,250,251,253,255,256,258,286,309,319,321,322,325,327,
335,336,337,339,377],[1,2,3,4,6,7,8,9,10,11,12,17,18,20,21,28,29,30,35,36,37,
38,43,47,48,50,53,56,57,60,61,62,63,64,66,67,68,69,84,85,87,90,97,98,99,100,
101,102,103,104,113,114,115,116,117,119,120,121,122,123,124,131,132,137,142,
147,148,183,185,195,197,198,202,204,207,209,211,212,213,214,228,231,233,235,
238,294,309,321,323,324,330,333,378],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,
18,20,21,22,29,30,31,33,35,36,37,38,41,43,44,46,47,48,49,51,52,53,54,56,59,60,
62,63,64,65,66,68,69,70,71,86,88,89,90,96,98,99,100,101,102,105,109,112,113,
115,116,117,121,123,124,125,127,130,134,136,137,140,142,143,146,152,154,155,
162,186,194,199,200,201,205,209,210,217,220,222,225,230,231,235,239,245,248,
295,297,299,307,317,318,320,379],[1,2,3,4,6,7,8,9,10,11,12,17,18,29,30,32,34,
35,36,37,38,41,42,43,45,47,48,49,50,52,53,55,61,62,63,64,66,67,69,85,87,88,91,
96,97,98,99,101,102,105,110,115,116,117,119,121,122,123,124,126,128,132,149,
150,151,153,155,158,161,187,196,197,204,211,212,213,215,216,217,227,235,237,
240,242,246,248,250,291,298,315,323,325,327,330,380],[1,2,3,4,6,7,8,9,10,11,
12,15,16,17,18,20,21,22,23,28,29,30,35,36,37,38,41,44,49,52,53,56,58,59,60,61,
63,64,65,66,68,69,84,86,89,91,96,97,98,100,102,103,104,105,108,113,114,115,
116,117,119,121,123,124,125,127,129,133,140,160,162,184,188,194,195,196,198,
199,200,201,203,205,206,214,216,221,228,248,252,292,310,311,312,318,320,326,
381],[1,3,5,14,16,22,25,27,70,76,78,165,175,180,382],[1,3,5,13,15,23,25,27,73,
74,80,165,174,179,383],[1,2,5,6,24,27,28,75,165,169,282,384],[1,2,3,5,6,8,9,
11,15,16,17,30,36,37,44,50,63,65,75,78,80,83,85,86,87,89,98,102,116,189,194,
197,262,263,264,284,385],[1,2,3,4,5,6,9,10,11,12,13,14,17,18,20,21,22,23,24,
26,28,31,33,35,36,37,38,39,46,51,54,56,58,59,60,61,68,71,72,74,75,76,79,98,
100,103,104,109,112,115,127,129,134,135,141,154,159,167,168,169,171,172,173,
177,191,214,222,224,239,241,252,266,267,279,334,342,386],[1,2,4,5,6,7,8,11,12,
18,19,24,28,29,30,32,34,37,38,40,42,43,45,47,48,50,55,61,75,77,81,84,87,90,93,
95,101,103,106,110,118,120,126,128,132,153,156,166,169,170,178,185,192,208,
215,232,268,275,277,280,286,344,387],[1,2,3,5,6,7,8,9,10,13,14,17,24,28,29,30,
31,33,35,36,39,41,44,46,49,51,52,54,60,74,75,76,81,84,89,91,92,94,96,104,107,
108,109,111,112,125,130,136,141,167,168,169,173,188,191,193,210,219,265,268,
271,281,285,342,388],[1,2,3,5,6,9,10,13,14,15,16,17,22,23,24,25,28,31,33,35,
36,39,46,51,54,58,59,60,65,70,73,74,75,76,82,86,104,105,109,112,127,129,141,
146,152,157,163,167,168,169,173,174,175,176,184,191,225,229,230,236,252,269,
272,273,338,342,389],[1,2,5,6,7,8,24,28,29,30,75,81,83,84,88,169,182,262,268,
283,343,390],[1,2,3,5,6,7,8,9,10,17,24,25,28,29,30,35,36,41,44,49,52,53,60,75,
82,83,84,88,89,91,96,104,108,113,114,119,125,169,176,182,188,198,244,245,262,
273,308,343,347,391],[1,2,4,5,6,7,8,11,12,18,24,26,28,29,30,37,38,43,47,48,50,
53,61,75,79,83,84,87,88,90,101,103,113,114,119,120,132,169,177,182,185,198,
226,240,262,279,332,343,349,392],[1,2,4,5,6,11,12,18,19,24,26,28,32,34,37,38,
40,42,45,55,57,61,62,67,75,77,79,85,99,103,122,126,128,131,138,156,158,161,
164,166,169,170,177,178,183,192,227,233,247,250,251,270,276,279,339,344,393],[
1,2,3,4,5,6,9,10,11,12,17,18,19,24,25,28,32,34,35,36,37,38,40,42,45,55,57,60,
61,63,67,69,75,77,82,97,102,103,104,121,122,126,128,131,144,145,150,151,156,
166,169,170,176,178,192,195,233,234,237,246,249,273,274,278,337,344,394],[1,2,
3,5,6,9,10,13,14,15,16,17,22,23,24,25,28,31,33,35,36,39,46,51,54,58,59,60,65,
70,73,75,78,80,82,86,104,105,109,112,127,129,141,146,152,157,163,169,176,179,
180,184,191,225,229,230,236,252,263,273,338,345,346,348,395],[1,2,4,5,6,11,12,
18,19,24,26,28,32,34,37,38,40,42,45,55,57,61,62,67,75,79,85,99,103,122,126,
128,131,138,156,158,161,164,169,177,183,192,227,233,247,250,251,264,279,339,
350,351,352,396],[1,2,5,6,7,8,24,28,29,30,53,75,81,84,113,114,119,169,198,268,
287,397],[1,2,3,4,6,7,8,9,10,11,12,13,14,17,18,19,28,29,30,31,32,33,34,35,36,
37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,60,61,64,66,83,84,87,
88,89,90,91,92,93,94,95,96,101,103,104,106,107,108,109,110,111,112,113,114,
116,117,118,119,120,123,124,125,126,128,130,132,136,139,141,143,149,153,155,
156,182,185,186,187,188,189,190,191,192,193,198,200,202,206,208,210,212,215,
217,218,219,220,223,226,228,232,240,242,243,244,245,260,283,285,286,287,290,
292,294,296,303,305,306,307,308,313,315,316,329,331,332,359,361,364,373,398],[
1,2,3,4,6,7,8,9,10,11,12,15,16,17,18,20,21,28,29,30,35,36,37,38,41,43,44,47,
48,49,50,52,53,56,60,61,62,63,64,65,66,68,69,83,84,85,86,87,88,89,90,91,96,97,
98,99,100,101,102,103,104,105,108,113,114,115,116,117,119,120,121,123,124,125,
132,137,140,142,162,182,183,184,185,186,187,188,189,190,194,195,196,197,198,
199,201,209,211,213,214,216,217,226,228,231,235,240,243,244,245,248,283,284,
289,290,296,298,300,308,317,321,326,328,332,358,361,363,399],[1,2,3,4,6,7,8,9,
10,11,12,13,14,15,16,17,18,20,21,22,23,28,29,30,31,33,35,36,37,38,39,41,43,44,
46,47,48,49,50,51,52,53,54,56,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,83,
84,85,86,87,88,89,90,91,92,94,96,97,98,99,100,101,102,103,104,105,107,108,109,
111,112,113,114,115,116,117,119,120,121,123,124,125,127,129,130,132,133,134,
135,136,137,139,140,141,142,143,146,149,152,154,155,157,159,160,162,163,182,
183,184,185,186,187,188,189,190,191,193,194,195,196,197,198,199,200,201,203,
205,206,209,210,211,213,214,216,217,218,219,220,221,222,223,224,225,228,229,
230,231,235,236,239,241,242,244,245,248,252,254,257,259,260,261,284,285,289,
290,292,293,295,297,298,299,301,303,304,305,307,308,310,311,312,313,314,316,
317,318,320,321,326,334,338,340,341,358,359,360,365,366,367,369,379,381,400],[
1,2,3,4,6,7,8,9,10,11,12,15,16,17,18,19,20,21,28,29,30,32,34,35,36,37,38,40,
41,42,43,44,45,47,48,49,50,52,53,55,56,57,60,61,62,63,64,65,66,67,68,69,83,84,
85,86,87,88,89,90,91,93,95,96,97,98,99,100,101,102,103,104,105,106,108,110,
113,114,115,116,117,118,119,120,121,122,123,124,125,126,128,131,132,137,138,
139,140,142,143,144,145,147,148,149,150,151,153,155,156,158,161,162,164,182,
183,184,185,186,187,188,189,190,192,194,195,196,197,198,199,201,202,204,207,
208,209,211,212,213,214,215,216,217,218,220,223,226,227,228,231,232,233,234,
235,237,238,240,242,246,247,248,249,250,251,253,255,256,258,260,284,286,288,
289,290,291,294,298,302,305,306,309,315,317,319,321,322,323,324,325,326,327,
329,330,331,332,333,335,336,337,339,358,362,364,374,375,376,377,378,380,401],[
1,2,3,4,6,7,8,9,10,11,12,17,18,22,23,28,29,30,35,36,37,38,41,43,44,47,48,49,
50,52,53,57,58,59,60,61,64,66,67,83,84,87,88,89,90,91,96,101,103,104,108,113,
114,116,117,119,120,122,123,124,125,127,129,131,132,133,147,148,160,182,185,
186,187,188,189,190,198,203,204,205,207,217,221,226,228,233,238,240,243,244,
245,252,283,288,290,291,293,295,296,301,302,308,309,312,332,360,361,362,402],[
1,2,3,4,6,7,8,9,10,11,12,17,18,19,22,23,28,29,30,32,34,35,36,37,38,40,41,42,
43,44,45,47,48,49,50,52,53,55,58,59,60,61,64,66,83,84,87,88,89,90,91,93,95,96,
101,103,104,106,108,110,113,114,116,117,118,119,120,123,124,125,126,127,128,
129,132,133,139,143,149,153,155,156,160,182,185,186,187,188,189,190,192,198,
202,203,205,208,212,215,217,218,220,221,223,226,228,232,240,242,243,252,260,
286,290,293,294,295,296,300,301,305,306,312,315,328,329,331,332,360,363,364,
368,372,403],[1,2,3,4,6,7,8,9,10,11,12,13,14,17,18,28,29,30,31,33,35,36,37,38,
39,41,43,44,46,47,48,49,50,51,52,53,54,57,60,61,64,66,67,83,84,87,88,89,90,91,
92,94,96,101,103,104,107,108,109,111,112,113,114,116,117,119,120,122,123,124,
125,130,131,132,136,139,141,143,147,148,149,155,182,185,186,187,188,189,190,
191,193,198,200,204,206,207,210,217,218,219,220,223,228,233,238,242,243,244,
245,260,285,288,290,291,292,296,300,302,303,305,307,308,309,313,316,328,359,
362,363,370,371,404],[1,2,3,4,5,6,7,8,9,10,11,12,15,16,17,18,20,21,24,28,29,
30,35,36,37,38,41,43,44,47,48,49,50,52,56,60,61,62,63,64,65,66,68,69,75,78,80,
83,84,85,86,87,88,89,90,91,96,97,98,99,100,101,102,103,104,105,108,115,116,
117,120,121,123,124,125,132,137,140,142,162,169,182,183,184,185,186,187,188,
189,190,194,195,196,197,199,201,209,211,213,214,216,217,228,231,235,248,262,
263,264,284,289,290,298,317,321,326,343,346,352,358,385,405],[1,2,3,5,6,8,9,
10,11,13,14,15,16,17,22,23,25,30,31,33,36,37,44,46,49,50,51,52,53,54,58,59,60,
63,65,70,73,75,78,80,83,85,86,87,89,98,102,109,112,113,116,125,127,129,130,
136,139,146,149,152,157,163,176,179,180,189,194,197,200,203,205,210,218,222,
225,229,241,244,262,263,264,284,297,301,303,304,310,318,345,347,348,369,385,
406],[1,2,3,4,5,6,8,9,11,12,15,16,17,26,30,32,34,36,37,42,43,44,45,47,50,53,
55,57,61,63,65,67,75,78,80,83,85,86,87,89,98,102,110,116,119,122,126,128,131,
132,139,143,144,145,150,151,153,177,189,194,197,204,207,212,215,223,226,227,
237,249,251,262,263,264,284,302,306,322,323,325,333,349,350,351,374,385,407],[
1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,22,23,24,25,26,28,29,30,31,
33,35,36,37,38,39,41,44,46,49,51,52,54,56,58,59,60,61,63,64,65,66,68,69,70,71,
72,73,74,75,76,79,81,82,84,86,89,91,92,94,96,97,98,100,102,103,104,105,107,
108,109,111,112,115,116,117,121,123,124,125,127,129,130,133,134,135,136,140,
141,146,152,154,157,159,160,162,163,167,168,169,171,172,173,174,175,176,177,
181,184,188,191,193,194,195,196,199,201,203,205,210,214,216,219,221,222,224,
225,228,229,230,236,239,241,248,252,254,257,259,261,265,266,267,268,269,271,
272,273,279,281,285,297,299,304,312,314,326,334,338,340,341,342,353,354,356,
365,386,388,389,408],[1,2,3,4,5,6,7,8,9,10,11,12,17,18,19,20,21,24,25,26,28,
29,30,32,34,35,36,37,38,40,42,43,45,47,48,50,55,56,57,60,61,62,63,64,66,67,68,
69,75,77,79,81,82,84,85,87,90,93,95,97,98,99,100,101,102,103,104,106,110,115,
116,117,118,120,121,122,123,124,126,128,131,132,137,138,142,144,145,147,148,
150,151,153,156,158,161,164,166,169,170,176,177,178,181,183,185,192,195,197,
204,207,208,209,211,213,214,215,227,228,231,232,233,234,235,237,238,246,247,
249,250,251,253,255,256,258,268,270,273,274,275,276,277,278,279,280,286,309,
319,321,322,325,327,335,336,337,339,344,353,355,357,377,387,393,394,409],[1,2,
3,4,5,6,7,8,9,10,11,12,17,18,24,25,26,28,29,30,35,36,37,38,41,43,44,47,48,49,
50,52,53,60,61,64,66,75,79,81,82,83,84,87,88,89,90,91,96,101,103,104,108,113,
114,116,117,119,120,123,124,125,132,169,176,177,181,182,185,186,187,188,189,
190,198,217,226,228,240,243,244,245,262,268,273,279,283,290,296,308,332,343,
347,349,353,361,390,391,392,410],[1,2,6,7,8,27,28,29,30,83,84,88,182,282,283,
411],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,28,29,30,31,
32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,
58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,83,84,85,86,87,88,89,90,91,92,
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,
152,153,154,155,156,157,158,159,160,161,162,163,164,182,183,184,185,186,187,
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,
245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,283,284,
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,
358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,374,375,376,
377,378,379,380,381,398,399,400,401,402,403,404,412],[1,2,3,4,5,6,7,8,9,10,11,
12,13,14,17,18,19,24,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,
47,48,49,50,51,52,53,54,55,60,61,64,66,74,75,76,77,81,83,84,87,88,89,90,91,92,
93,94,95,96,101,103,104,106,107,108,109,110,111,112,113,114,116,117,118,119,
120,123,124,125,126,128,130,132,136,139,141,143,149,153,155,156,166,167,168,
169,170,173,178,182,185,186,187,188,189,190,191,192,193,198,200,202,206,208,
210,212,215,217,218,219,220,223,226,228,232,240,242,243,244,245,260,262,265,
268,271,275,277,280,281,283,285,286,287,290,292,294,296,303,305,306,307,308,
313,315,316,329,331,332,342,343,344,359,361,364,373,387,388,390,397,398,413],[
1,2,3,4,5,6,7,8,9,10,11,12,15,16,17,18,20,21,24,28,29,30,35,36,37,38,41,43,44,
47,48,49,50,52,53,56,60,61,62,63,64,65,66,68,69,75,78,80,81,83,84,85,86,87,88,
89,90,91,96,97,98,99,100,101,102,103,104,105,108,113,114,115,116,117,119,120,
121,123,124,125,132,137,140,142,162,169,182,183,184,185,186,187,188,189,190,
194,195,196,197,198,199,201,209,211,213,214,216,217,226,228,231,235,240,243,
244,245,248,262,263,264,268,283,284,289,290,296,298,300,308,317,321,326,328,
332,343,346,352,358,361,363,385,390,399,405,414],[1,2,3,4,5,6,7,8,9,10,11,12,
13,14,15,16,17,18,20,21,22,23,24,25,28,29,30,31,33,35,36,37,38,39,41,43,44,46,
47,48,49,50,51,52,53,54,56,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,75,78,
80,82,83,84,85,86,87,88,89,90,91,92,94,96,97,98,99,100,101,102,103,104,105,
107,108,109,111,112,113,114,115,116,117,119,120,121,123,124,125,127,129,130,
132,133,134,135,136,137,139,140,141,142,143,146,149,152,154,155,157,159,160,
162,163,169,176,179,180,182,183,184,185,186,187,188,189,190,191,193,194,195,
196,197,198,199,200,201,203,205,206,209,210,211,213,214,216,217,218,219,220,
221,222,223,224,225,228,229,230,231,235,236,239,241,242,244,245,248,252,254,
257,259,260,261,262,263,264,273,284,285,289,290,292,293,295,297,298,299,301,
303,304,305,307,308,310,311,312,313,314,316,317,318,320,321,326,334,338,340,
341,343,345,346,347,348,352,358,359,360,365,366,367,369,379,381,385,391,395,
400,405,406,415],[1,2,3,4,5,6,7,8,9,10,11,12,15,16,17,18,19,20,21,24,26,28,29,
30,32,34,35,36,37,38,40,41,42,43,44,45,47,48,49,50,52,53,55,56,57,60,61,62,63,
64,65,66,67,68,69,75,78,79,80,83,84,85,86,87,88,89,90,91,93,95,96,97,98,99,
100,101,102,103,104,105,106,108,110,113,114,115,116,117,118,119,120,121,122,
123,124,125,126,128,131,132,137,138,139,140,142,143,144,145,147,148,149,150,
151,153,155,156,158,161,162,164,169,177,182,183,184,185,186,187,188,189,190,
192,194,195,196,197,198,199,201,202,204,207,208,209,211,212,213,214,215,216,
217,218,220,223,226,227,228,231,232,233,234,235,237,238,240,242,246,247,248,
249,250,251,253,255,256,258,260,262,263,264,279,284,286,288,289,290,291,294,
298,302,305,306,309,315,317,319,321,322,323,324,325,326,327,329,330,331,332,
333,335,336,337,339,343,346,349,350,351,352,358,362,364,374,375,376,377,378,
380,385,392,396,401,405,407,416],[1,2,5,6,7,8,24,27,28,29,30,75,81,83,84,88,
165,169,182,262,268,282,283,343,384,390,411,417],[1,2,4,5,6,11,12,18,19,24,26,
27,28,32,34,37,38,40,42,45,55,57,61,62,67,75,77,79,85,99,103,122,126,128,131,
138,156,158,161,164,165,166,169,170,177,178,183,192,227,233,247,250,251,264,
270,276,279,282,339,344,350,351,352,384,393,396,418],[1,2,3,5,6,9,10,13,14,15,
16,17,22,23,24,25,27,28,31,33,35,36,39,46,51,54,58,59,60,65,70,73,74,75,76,78,
80,82,86,104,105,109,112,127,129,141,146,152,157,163,165,167,168,169,173,174,
175,176,179,180,184,191,225,229,230,236,252,263,269,272,273,282,338,342,345,
346,348,382,383,384,389,395,419],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,
18,19,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,
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,
71,72,73,74,75,76,77,79,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,
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,
156,157,158,159,160,161,162,163,164,166,167,168,169,170,171,172,173,174,175,
176,177,178,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,
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,
254,255,256,257,258,259,260,261,262,265,266,267,268,269,270,271,272,273,274,
275,276,277,278,279,280,281,283,284,285,286,287,288,289,290,291,292,293,294,
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,
333,334,335,336,337,338,339,340,341,342,343,344,347,349,353,354,355,356,357,
358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,374,375,376,
377,378,379,380,381,386,387,388,389,390,391,392,393,394,397,398,399,400,401,
402,403,404,408,409,410,412,413,420],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,
17,18,19,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,
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,
70,71,72,73,75,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,
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,
156,157,158,159,160,161,162,163,164,169,176,177,179,180,181,182,183,184,185,
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,
262,263,264,268,273,279,283,284,285,286,287,288,289,290,291,292,293,294,295,
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,
334,335,336,337,338,339,340,341,343,345,346,347,348,349,350,351,352,353,358,
359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,374,375,376,377,
378,379,380,381,385,390,391,392,395,396,398,399,400,401,402,403,404,405,406,
407,410,412,414,415,416,421],[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]],
0,[[1],[1,1],[1,1],[1,1],[1,1],[1,3,1],[1,1,1],[1,1,1],[1,1,2,1],[1,1,1],[1,1,
1],[1,1,2,1],[1,3,1],[1,3,1],[1,3,1],[1,3,1],[1,1,2,1],[1,1,2,1],[1,3,1],[1,1,
2,1],[1,1,2,1],[1,1,1],[1,1,1],[1,1,1,1],[1,3,1,1],[1,3,1,1],[1,1],[1,7,7,1],[
1,3,1,1,1,1],[1,3,1,2,1],[1,1,6,3,4,1],[1,1,3,1],[1,1,6,3,4,1],[1,1,3,1],[1,3,
1,2,1],[1,3,4,1,2,4,1],[1,3,1,2,1],[1,3,4,1,2,4,1],[1,1,3,1],[1,1,6,3,4,1],[1,
1,2,1,1,1,1],[1,1,4,1,2,1],[1,1,2,1,1,1,1],[1,1,4,1,2,1],[1,1,4,1,2,1],[1,1,2,
1,2,1],[1,1,4,1,2,1],[1,1,2,1,1,1,1],[1,1,1,2,1],[1,1,1,2,1],[1,1,2,1,2,1],[1,
1,2,1,1,1,1],[1,1,1,1],[1,1,4,2,1,1],[1,1,2,2,1,1],[1,1,2,4,1,2,2,2,1],[1,1,1,
1],[1,1,2,1,2,1],[1,1,2,1,2,1],[1,3,2,1,1,1,1],[1,3,2,1,1,1,1],[1,1,4,1,2,1],[
1,1,4,1,2,1],[1,1,2,2,1,1,1,1],[1,1,6,1,2,2,2,1],[1,1,2,2,1,1,1,1],[1,1,1,1],[
1,1,2,4,1,1,1,2,2,1],[1,1,2,2,1,1,1,1],[1,5,1,1,1,1],[1,3,2,1,1,1,1],[1,3,2,1,
1,1,1],[1,5,1,1,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,
1],[1,1,6,1,3,1,2,1],[1,3,4,1,1],[1,1,1,1,1,1],[1,1,6,1,3,1,2,1],[1,3,1,6,3,
1],[1,7,7,1,3,1,3,3,1],[1,3,1,6,3,1],[1,3,12,1,6,8,8,12,3,12,1],[1,3,1,2,4,1,
2,4,1],[1,3,1,2,4,2,1,1],[1,3,8,1,2,4,8,1,2,4,1],[1,3,8,1,2,4,8,1,2,4,1],[1,3,
1,2,4,1,2,4,1],[1,1,6,1,3,3,4,1,3,3,1],[1,1,6,1,3,3,1,3,3,1],[1,1,6,1,3,3,4,1,
3,3,1],[1,1,6,1,3,3,1,3,3,1],[1,3,4,1,1,1,2,2,4,1,1,1,2,2,1],[1,3,1,4,2,2,1,
1],[1,3,4,1,2,4,4,1,2,1],[1,3,8,1,2,4,8,1,2,4,1],[1,3,4,8,1,2,4,4,8,8,8,1,2,4,
8,1],[1,3,4,1,1,1,2,2,4,1,1,1,2,2,1],[1,3,8,1,4,2,8,2,1,4,1],[1,7,4,7,2,2,4,1,
1,1,4,1],[1,7,4,7,2,2,4,1,1,1,4,1],[1,3,4,1,2,4,4,2,1,1],[1,1,6,1,3,3,4,1,3,3,
1],[1,1,6,1,3,3,1,3,3,1],[1,3,4,1,1,1,2,2,1,2,1,1,2,1],[1,3,8,1,4,2,4,4,1,1,1,
2,2,1],[1,1,2,1,5,1,1,1,1,2,2,1],[1,1,2,1,1,5,2,1,2,1,1,1],[1,3,8,1,4,2,4,4,1,
1,1,2,2,1],[1,3,1,2,1,2,1],[1,3,1,1,1,1,2,1],[1,3,4,1,2,2,2,4,1,1,1,1],[1,3,4,
1,2,2,2,4,1,1,1,1],[1,3,4,4,1,1,1,2,2,4,4,1,1,1,2,2,1],[1,1,10,1,1,5,8,2,1,1,
1,2,1],[1,3,1,2,1,2,1],[1,3,4,1,1,1,2,2,1,1,2,1,2,1],[1,3,4,4,1,2,2,2,4,4,1,1,
1,4,1],[1,3,1,2,1,2,1],[1,3,4,1,2,2,2,4,1,1,1,1],[1,3,1,1,1,2,2,1,1,1,1],[1,3,
4,1,2,2,2,1,1,1,2,2,1],[1,3,4,1,4,2,1,1,1,2,2,1],[1,3,4,1,2,4,4,1,2,1],[1,3,4,
1,4,2,1,1,1,2,2,1],[1,3,4,1,2,4,4,1,2,1],[1,1,10,1,5,1,4,4,1,1,2,1,2,1],[1,3,
1,2,1,2,1],[1,3,4,1,2,2,2,1,2,1,1,2,1],[1,1,2,1,1,1,2,2,1,1,1,1],[1,1,6,4,3,4,
2,2,2,2,1,1,1,4,1],[1,1,6,4,3,4,2,2,2,2,1,1,1,4,1],[1,1,6,1,3,3,1,1,1,1,1,2,
1],[1,1,4,6,1,1,1,2,2,4,4,1,1,1,2,2,1],[1,1,4,3,2,1,1,1,1],[1,1,4,1,2,2,1,1,1,
1],[1,1,6,4,1,1,1,2,2,2,2,2,2,1,1,2,1,2,1],[1,3,4,1,2,4,1,1,1,1,1,2,1],[1,1,4,
6,1,1,1,2,2,4,4,1,1,1,2,2,1],[1,1,4,4,1,2,2,1,1,1,1],[1,1,4,3,2,1,1,1,1],[1,1,
4,4,1,2,2,1,1,1,1],[1,1,10,3,4,2,2,2,2,1,1,1,4,1],[1,1,2,1,1,1,1,1,1,1],[1,1,
2,1,1,1,1,1,1,1],[1,1,1,2,2,1,1,1,1],[1,1,4,3,2,1,1,1,1],[1,1,4,4,1,2,2,1,1,1,
1],[1,1,6,1,2,2,2,2,2,1,1,1,1],[1,1,6,1,3,3,1,1,1,1,1,2,1],[1,1,2,4,1,2,2,2,2,
2,1,1,1,1],[1,1,4,1,2,2,1,1,1,1],[1,3,8,1,2,4,4,4,1,1,1,1,1,2,1],[1,1,10,3,4,
2,2,2,2,1,1,1,4,1],[1,1,8,1,2,2,1,1,1,1],[1,1,2,4,1,2,2,2,2,2,1,1,1,1],[1,1,2,
1,1,1,2,2,1,1,1,1],[1,1,4,3,2,1,1,1,1],[1,1,6,4,1,1,1,2,2,2,2,2,2,1,1,1,2,2,
1],[1,1,6,1,2,2,2,2,2,1,1,1,1],[1,1,8,1,2,2,1,1,1,1],[1,7,1,1],[1,1,4,3,4,1,
1],[1,1,6,4,3,4,4,1,1,1],[1,1,6,4,3,4,4,1,1,1],[1,7,4,7,4,1,1,1],[1,1,4,3,4,1,
1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,1,4,3,4,1,1],[1,9,4,1,3,
3,4,3,1,1],[1,9,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,
1],[1,1,6,4,3,4,4,1,1,1],[1,9,4,3,1,3,4,3,1,1],[1,9,4,3,1,3,4,3,1,1],[1,1,6,6,
1,1,3,3,1,2,2,3,1,1,1,1],[1,7,7,3,9,1,9,9,1,3,3,1],[1,7,12,7,6,6,12,1,3,3,12,
12,1,3,3,1],[1,7,12,7,6,6,8,8,12,1,3,3,12,12,1,3,3,1],[1,7,8,7,1,3,4,4,8,1,3,
3,2,2,4,4,4,4,8,1,1,1,2,2,4,4,1],[1,3,8,8,1,2,4,4,4,8,8,2,1,2,2,4,4,8,8,1,1,1,
4,1],[1,3,1,2,4,4,4,2,1,2,2,4,4,1,1,1,4,1],[1,7,8,7,1,3,4,4,8,1,3,3,2,2,4,4,4,
4,8,1,1,1,2,2,4,4,1],[1,3,8,1,6,4,4,8,3,2,2,4,4,1,1,1,4,1],[1,3,8,1,6,4,4,8,3,
2,2,4,4,1,1,1,4,1],[1,7,12,7,6,6,4,4,12,1,1,1,3,3,2,3,3,6,12,3,3,3,6,1],[1,7,
12,7,6,6,12,8,1,1,1,3,3,2,3,3,6,12,3,3,3,6,1],[1,3,8,1,2,4,8,1,2,4,2,4,6,4,4,
4,4,1,4,2,4,4,1],[1,3,16,1,2,8,4,8,8,16,1,4,2,4,8,12,1,1,1,2,2,1],[1,7,8,4,7,
4,4,2,2,8,4,1,2,2,1,1,8,4,4,8,1,1,1,2,2,1],[1,3,4,1,1,1,2,6,4,4,1,3,1,2,2,2,1,
2,1,1,2,1],[1,3,8,1,2,4,8,8,1,2,4,4,4,1,1,2,1,2,1],[1,7,7,1,3,1,3,3,4,1,2,2,2,
1],[1,3,8,8,1,2,4,4,4,8,8,8,8,1,2,2,2,4,4,8,8,1,1,1,2,2,1],[1,3,8,1,2,4,8,1,2,
4,4,1,2,1],[1,3,12,8,1,1,1,6,2,4,8,8,12,8,8,8,1,1,3,2,2,2,4,4,12,4,8,8,1,1,1,
2,2,4,4,1],[1,3,8,1,2,4,8,1,2,4,4,1,2,1],[1,3,8,1,2,4,8,8,1,2,4,4,1,2,1],[1,3,
1,2,4,1,2,4,4,1,2,1],[1,3,8,1,2,4,8,8,1,2,4,4,1,2,1],[1,3,1,2,4,1,2,4,4,1,2,
1],[1,3,1,2,4,1,2,4,4,1,2,1],[1,3,16,1,2,4,8,8,16,1,2,4,4,4,4,6,2,4,4,1,4,2,4,
4,1],[1,3,8,12,1,1,1,4,2,6,8,12,16,16,1,2,1,3,2,2,8,4,4,4,4,16,1,2,1,1,2,4,4,
1],[1,3,16,1,2,8,4,8,8,8,1,2,2,2,6,2,2,2,4,8,4,1,2,2,2,4,4,1],[1,3,8,1,2,4,4,
4,8,1,2,2,2,4,4,1,1,1,2,2,1],[1,3,1,2,4,1,2,4,4,1,2,1],[1,3,4,1,1,1,4,6,2,4,1,
2,3,1,2,2,1,1,1,2,2,1],[1,7,4,8,7,2,2,4,4,4,8,8,8,1,1,1,2,2,4,4,8,8,1,1,2,1,2,
1],[1,3,8,1,2,8,4,1,2,2,2,2,4,2,2,6,8,4,1,4,2,2,2,4,1],[1,3,4,4,1,2,2,6,2,2,4,
4,1,3,1,1,1,4,4,1,1,1,1,1,1,1,1],[1,3,4,4,1,2,4,2,2,2,2,4,4,2,1,1,1,1,1,2,2,2,
2,2,2,1,1,1,1,1,1,1,1],[1,3,4,1,2,2,2,4,1,2,1,1,4,2,2,2,1,1,1,2,2,1],[1,3,12,
1,1,1,6,6,4,4,4,1,1,1,1,1,2,6,2,3,2,3,2,6,4,1,1,1,2,2,1,1,1,1,2,2,1],[1,3,4,8,
1,2,2,2,4,8,1,2,1,4,1,2,2,2,1,1,1,2,2,1],[1,3,4,1,1,1,2,2,4,4,4,1,1,1,2,2,2,2,
1,1,1,2,2,1],[1,3,8,1,4,2,4,4,4,4,1,1,2,1,2,2,2,1,1,1,1],[1,3,8,4,1,2,4,2,2,8,
1,2,2,4,1,1,2,2,1,1,1,2,2,1],[1,3,8,8,1,4,2,4,4,4,8,8,8,4,1,1,2,1,2,4,2,2,8,8,
1,1,1,2,2,1],[1,3,16,1,8,2,4,8,8,12,4,1,3,1,2,2,2,12,8,1,1,1,2,2,1],[1,3,4,1,
6,2,2,3,2,1,1,2,2,1,1,1,1],[1,3,4,1,8,2,1,3,1,2,2,2,1,1,1,1],[1,7,4,4,7,1,3,2,
2,2,2,4,4,1,3,3,1,1,1,1,4,4,2,2,1,1,1,1,1,1,1,1],[1,3,16,1,8,2,4,8,8,12,4,1,3,
1,2,2,2,12,8,1,1,1,2,2,1],[1,3,8,1,4,6,4,4,4,1,2,1,1,2,2,2,1,1,1,1],[1,3,4,12,
1,2,2,2,2,6,4,12,8,8,1,1,1,1,3,4,4,4,8,4,1,1,1,1,1,1,1,1],[1,3,12,1,1,1,6,6,4,
8,1,1,1,1,1,2,3,2,3,2,6,2,6,4,1,1,1,2,1,1,2,1,1,2,2,1],[1,7,4,7,2,2,4,1,1,1,2,
4,2,1,1,1,1],[1,3,4,1,4,4,2,1,2,1,1,2,2,2,1,1,1,1],[1,3,4,8,1,1,1,2,2,4,4,4,8,
1,1,1,2,2,2,2,4,2,2,4,1,1,1,1,1,1,1,1],[1,3,8,1,4,6,4,4,4,1,2,1,1,2,2,2,1,1,1,
1],[1,3,8,4,1,4,4,2,8,1,2,1,1,2,2,4,2,1,1,1,2,2,1],[1,3,4,1,1,1,2,2,4,1,1,1,2,
2,2,2,1,1,1,2,2,1],[1,3,8,8,1,4,2,4,4,4,8,8,8,4,1,1,2,1,2,4,2,2,8,8,1,1,1,2,2,
1],[1,3,4,1,2,4,2,2,2,1,2,1,1,2,2,1,1,1,1],[1,3,8,1,4,2,4,4,4,4,1,1,2,1,2,2,2,
1,1,1,1],[1,3,4,1,2,4,2,2,1,2,2,1,4,1,2,2,1,1,1,2,2,1],[1,3,1,2,4,2,1,4,1,2,
1],[1,3,4,1,6,2,2,3,1,1,2,2,2,1,1,1,1],[1,3,4,1,2,4,2,2,2,1,1,1,2,2,2,1,1,1,
1],[1,3,4,1,4,4,2,1,2,1,1,2,2,2,1,1,1,1],[1,3,12,1,4,6,8,1,1,2,1,2,2,2,4,1,1,
1,2,2,1],[1,3,8,4,1,1,1,4,4,2,2,8,4,1,2,2,1,1,2,2,4,2,2,4,1,1,1,1,1,1,1,1],[1,
3,8,4,1,4,4,2,8,1,2,1,1,2,2,2,4,1,1,1,2,2,1],[1,3,12,1,4,6,8,1,1,2,1,2,2,4,2,
1,1,1,2,2,1],[1,3,4,1,8,2,1,3,1,2,2,2,1,1,1,1],[1,7,4,7,2,2,4,4,4,1,1,1,2,2,4,
1,1,1,1],[1,1,4,10,1,3,3,2,2,4,4,1,3,3,1,1,1,2,1,2,1,1,1,1,1,1,1,1],[1,1,14,4,
1,5,1,4,4,2,2,2,2,2,2,2,2,1,1,2,1,2,1,1,1,1,2,2,4,4,4,4,1,1,1,1,1,1,1,1],[1,1,
4,6,1,5,1,2,2,4,4,1,1,1,2,2,1,1,1,2,1,2,1,1,1,1,1,1,1,1],[1,1,4,14,1,1,5,2,2,
8,4,4,2,1,1,1,2,1,1,1,2,1,2,1,1,1,1,1,1,1,1],[1,1,6,4,1,1,5,2,2,2,2,2,2,2,2,2,
1,2,1,1,1,1,1,1,2,2,1,1,1,1,1,1,1,1],[1,1,4,10,1,3,3,2,2,4,4,1,3,3,1,1,1,2,1,
2,1,1,1,1,1,1,1,1],[1,1,10,4,1,3,3,4,2,2,2,2,2,2,2,2,1,3,3,1,1,1,2,1,2,4,4,1,
1,1,1,1,1,1,1],[1,3,4,4,1,1,1,2,2,2,2,1,2,1,1,2,1,1,2,2,2,1,1,1,1,1,1,1,1],[1,
1,10,4,1,3,3,4,2,2,2,2,2,2,2,2,1,3,3,1,1,1,2,1,2,4,4,1,1,1,1,1,1,1,1],[1,3,16,
1,6,3,4,1,1],[1,3,12,16,1,6,8,8,12,3,12,4,8,8,1,1],[1,3,16,1,6,3,4,1,1],[1,1,
6,4,1,3,3,4,4,1,3,3,1,4,1,1,1],[1,1,6,12,4,3,4,6,6,6,6,4,8,1,3,3,12,1,4,3,1,2,
1],[1,1,6,12,4,3,4,6,6,6,6,4,8,1,3,3,12,1,4,3,1,2,1],[1,7,4,7,1,3,4,1,3,3,1,4,
1,1,1],[1,1,18,4,3,4,6,6,6,6,4,8,1,3,3,12,1,4,3,1,2,1],[1,1,12,4,3,6,4,8,1,3,
3,4,3,1,1],[1,1,6,4,1,3,3,4,4,1,3,3,1,4,1,1,1],[1,1,18,4,3,4,6,6,6,6,4,8,1,3,
3,12,1,4,3,1,2,1],[1,7,12,4,7,6,6,12,4,8,1,3,3,12,1,4,3,1,2,1],[1,1,12,4,3,6,
4,8,1,3,3,4,3,1,1],[1,1,6,4,1,3,3,4,1,3,3,4,1,1,1],[1,1,12,4,3,6,4,8,1,3,3,4,
3,1,1],[1,1,6,4,1,3,3,4,1,3,3,4,1,1,1],[1,1,12,4,3,6,4,8,1,3,3,4,3,1,1],[1,7,
12,4,7,6,6,12,4,8,1,3,3,12,1,4,3,1,2,1],[1,1,6,4,1,3,3,4,4,1,3,3,1,4,1,1,1],[
1,1,6,4,1,3,3,4,1,3,3,4,1,1,1],[1,7,7,8,1,1],[1,7,7,7,21,1,21,21,7,7,21,7,1],[
1,3,24,1,6,12,12,16,16,24,3,6,6,12,12,24,24,1,2,2,3,3,6,6,12,3,6,6,1],[1,7,24,
7,1,3,12,12,16,16,24,1,3,3,4,4,6,6,8,12,12,12,12,12,12,24,24,1,3,3,4,4,6,6,8,
12,12,12,12,12,12,24,24,3,4,6,6,12,1],[1,7,24,7,1,3,12,12,24,32,1,3,3,4,4,6,6,
8,12,12,12,12,12,12,24,24,1,3,3,4,4,6,6,8,12,12,12,12,12,12,24,24,3,4,6,6,12,
1],[1,7,7,1,3,1,3,3,12,1,6,6,6,3,1],[1,3,1,2,4,4,4,2,1,2,2,4,4,8,1,1,1,4,4,1,
2,1],[1,3,8,16,1,6,4,8,4,8,8,16,16,16,3,4,2,2,4,4,8,8,4,8,8,16,16,1,1,1,2,2,2,
2,2,2,4,4,4,8,1,2,2,2,4,4,1],[1,7,8,8,7,3,9,4,4,4,4,8,8,1,9,9,2,2,2,2,4,4,4,4,
4,4,4,4,8,8,8,8,1,3,1,3,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,4,4,1],[1,
3,1,2,4,4,4,2,1,2,2,4,4,8,1,1,1,4,4,1,2,1],[1,7,8,7,1,3,4,4,8,1,3,3,2,2,4,4,4,
4,8,8,1,1,1,2,2,4,4,4,4,4,1,2,2,2,1],[1,3,8,8,1,2,4,4,4,8,8,16,2,1,2,2,4,4,8,
8,8,1,1,1,4,4,1,2,1],[1,7,8,7,1,3,4,4,8,1,3,3,2,2,4,4,4,4,8,8,1,1,1,2,2,4,4,4,
4,4,1,2,2,2,1],[1,3,8,8,1,2,4,4,4,8,8,16,2,1,2,2,4,4,8,8,8,1,1,1,4,4,1,2,1],[
1,7,7,3,9,1,9,9,8,1,3,3,4,4,4,1,2,4,1],[1,3,24,1,2,12,4,4,8,8,8,8,16,8,1,2,2,
4,2,6,2,2,2,4,8,4,4,8,12,16,1,1,1,2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,1],[1,3,8,8,1,
2,4,4,8,8,4,8,8,2,1,4,2,4,2,4,4,4,4,4,4,4,4,4,4,8,1,1,1,1,2,3,2,1,2,1,2,4,2,2,
2,2,6,1,2,1,1,2,2,2,2,2,1],[1,3,16,8,1,2,8,8,4,8,8,8,8,8,8,8,1,2,2,2,2,2,6,2,
2,2,4,8,4,4,4,8,8,16,1,1,1,2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,1],[1,3,1,2,4,4,4,2,
1,2,2,4,4,8,1,1,1,4,4,1,2,1],[1,3,8,1,6,4,4,8,8,8,3,2,2,4,4,4,4,1,1,1,4,2,2,1,
1,1,1],[1,3,8,1,6,4,4,8,3,2,2,4,4,4,4,1,1,1,4,2,2,1,1,1,1],[1,3,16,1,6,8,4,4,
8,8,8,3,2,2,2,2,6,2,2,4,2,4,4,8,4,1,1,1,2,2,2,4,2,4,4,4,4,1,1,1,2,2,1],[1,3,
24,1,2,12,4,4,8,8,8,8,16,8,1,2,2,4,2,6,2,2,2,4,8,4,4,8,12,16,1,1,1,2,2,2,2,2,
2,4,4,4,4,1,1,1,2,2,1],[1,7,8,8,7,1,3,4,4,4,4,8,8,1,3,3,2,2,2,2,4,4,4,4,4,4,4,
4,4,8,8,1,1,1,1,1,2,2,2,2,4,2,2,2,4,4,4,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,3,8,8,1,
6,4,8,4,8,3,2,2,2,2,2,4,4,2,2,6,4,8,4,1,1,1,4,4,2,2,2,2,4,4,4,1,1,1,2,2,1],[1,
3,16,8,1,2,4,8,4,4,8,8,8,8,2,1,2,2,2,2,6,2,4,2,2,4,4,8,4,8,8,1,1,1,2,2,2,4,2,
4,4,4,4,1,1,1,2,2,1],[1,7,8,7,3,9,4,4,8,1,9,9,2,2,4,4,4,4,4,8,1,3,3,1,1,2,2,4,
2,2,2,4,1,1,1,2,2,1],[1,7,8,7,1,3,4,4,8,1,3,3,2,2,4,4,4,4,4,8,4,1,1,1,2,2,4,2,
2,4,4,4,1,1,1,2,2,1],[1,3,16,1,2,8,4,8,8,16,8,1,4,2,4,4,4,8,12,1,1,1,2,2,2,2,
1,1,1,1],[1,3,8,8,1,2,4,4,4,8,8,8,8,8,1,2,2,2,4,4,4,4,8,8,1,1,1,2,2,2,2,1,1,1,
1],[1,7,8,7,1,3,4,4,8,8,8,1,3,3,2,2,4,4,4,4,4,4,8,1,1,1,2,2,4,4,2,2,4,4,1,1,1,
2,2,1],[1,3,8,1,2,4,4,8,4,2,1,2,2,4,2,4,6,4,4,4,4,4,4,1,1,1,4,2,4,2,4,4,4,4,1,
1,1,2,2,1],[1,3,16,8,1,2,8,8,4,8,8,8,8,8,8,8,1,2,2,2,2,2,6,2,2,2,4,8,4,4,4,8,
8,16,1,1,1,2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,1],[1,3,8,1,2,4,4,8,4,2,1,2,2,2,2,2,
4,2,2,4,6,4,8,4,1,1,1,4,2,4,2,2,2,4,4,4,1,1,1,2,2,1],[1,3,8,8,1,6,4,8,4,8,3,2,
2,4,2,4,4,6,4,4,4,4,4,1,1,1,4,2,4,2,4,4,4,4,1,1,1,2,2,1],[1,3,16,16,1,2,4,8,4,
4,8,8,8,16,16,24,24,2,1,2,4,2,4,4,4,4,4,4,4,12,8,8,12,12,12,24,16,1,1,1,1,2,1,
2,3,2,2,1,2,2,6,4,2,2,8,8,8,8,1,1,1,2,2,2,2,2,2,1],[1,3,16,1,2,8,4,8,8,16,8,1,
4,2,4,4,4,8,12,1,1,1,2,2,2,2,1,1,1,1],[1,3,16,1,2,4,8,8,8,1,2,2,2,2,2,2,4,2,2,
6,8,4,4,4,1,1,1,4,2,2,2,2,2,2,4,4,4,1,1,1,2,2,1],[1,3,8,8,1,2,4,4,4,8,8,8,8,8,
1,2,2,2,4,4,4,4,8,8,1,1,1,2,2,2,2,1,1,1,1],[1,7,8,16,7,1,3,4,4,8,8,8,16,16,16,
1,3,3,2,2,4,4,4,4,4,4,8,8,16,12,4,4,4,16,8,1,1,1,1,1,2,3,2,2,1,4,2,4,2,2,4,2,
2,2,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,3,8,8,1,2,4,12,4,8,1,2,2,2,4,2,4,2,2,6,
8,4,4,4,1,1,2,1,4,2,2,2,2,2,4,4,4,1,1,1,2,2,1],[1,3,8,1,2,4,8,8,1,2,4,4,4,4,4,
1,1,2,1,2,2,2,1,1,1,1],[1,3,8,1,2,4,4,4,8,1,2,2,2,4,4,4,4,1,1,1,2,2,2,2,1,1,1,
1],[1,3,8,8,1,2,4,12,4,8,1,2,2,2,4,2,4,2,2,6,8,4,4,4,1,1,2,1,4,2,2,2,2,2,4,4,
4,1,1,1,2,2,1],[1,7,16,8,7,1,3,8,8,4,4,8,8,16,8,8,8,1,3,3,4,4,2,2,4,4,4,4,4,
16,8,8,4,12,4,8,16,1,1,1,1,2,2,1,1,2,2,4,3,4,2,2,2,4,2,2,4,4,4,1,1,1,2,1,1,1,
1,2,2,2,1],[1,3,16,1,2,4,8,8,8,1,2,2,2,2,2,2,4,2,2,6,8,4,4,4,1,1,1,4,2,2,2,2,
2,2,4,4,4,1,1,1,2,2,1],[1,3,8,8,1,2,4,4,4,8,8,2,1,2,2,4,4,8,8,8,1,1,1,4,4,1,2,
1],[1,3,16,1,6,4,4,8,8,16,3,2,2,4,4,4,4,6,4,2,4,4,4,1,1,1,4,2,4,2,4,4,4,4,1,1,
1,2,2,1],[1,3,8,1,2,4,4,4,8,1,2,2,2,4,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,3,8,16,
1,2,4,4,4,8,8,8,16,2,1,2,2,4,4,4,4,4,6,2,4,4,4,8,8,1,1,1,4,4,2,2,4,4,4,4,1,1,
1,2,2,1],[1,7,8,7,3,9,4,4,8,1,9,9,2,2,4,4,4,4,4,8,1,3,1,3,1,2,2,2,2,2,4,4,1,1,
1,2,2,1],[1,3,8,1,2,4,8,8,1,2,4,4,4,4,4,1,1,2,1,2,2,2,1,1,1,1],[1,7,12,8,7,6,
6,4,4,4,4,12,8,8,8,4,4,1,1,1,3,3,2,2,2,3,3,6,4,2,2,12,8,8,8,8,1,1,2,3,3,3,2,1,
1,2,2,6,2,2,1,1,1,1,1,1,1,1],[1,3,12,1,1,1,4,10,6,4,8,1,1,1,2,3,1,2,3,2,3,2,6,
2,6,2,4,2,1,1,1,1,1,2,1,2,1,2,1,2,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,8,20,1,
1,1,4,6,10,8,12,8,16,16,1,1,1,2,1,3,2,3,2,3,2,6,2,6,8,2,4,4,4,4,4,2,16,1,1,1,
2,1,1,2,1,2,1,2,1,1,1,1,4,2,4,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[
1,7,8,12,7,4,4,6,6,8,12,8,1,1,1,2,2,3,3,2,3,3,6,2,8,12,4,2,8,1,1,3,2,2,1,3,3,
1,2,2,2,2,6,1,1,1,1,1,1,1,1],[1,7,20,7,10,10,4,4,8,8,20,4,4,1,1,1,5,5,2,3,3,6,
2,2,20,12,8,8,1,5,3,3,3,1,1,6,2,2,2,2,1,1,1,1,1,1,1,1],[1,7,20,7,10,10,20,8,1,
1,1,5,5,2,3,3,6,2,20,12,2,1,3,5,1,3,3,1,2,6,2,2,2,1,1,1,1,1,1,1,1],[1,3,20,8,
1,1,1,10,6,4,4,4,8,8,12,8,8,8,4,4,1,1,1,1,3,2,2,6,2,3,2,3,2,6,4,2,2,4,4,12,4,
8,8,8,8,8,8,1,1,1,1,1,2,2,1,1,1,2,2,1,1,1,2,2,2,2,4,2,2,2,2,2,2,2,4,2,1,1,1,1,
1,1,1,2,2,2,2,1],[1,3,12,1,1,1,6,10,4,4,4,4,4,4,1,1,1,3,1,2,2,6,2,3,2,3,2,6,2,
2,4,1,1,1,2,1,1,2,2,1,1,1,2,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,7,12,16,7,6,6,4,
4,12,16,1,1,1,3,3,2,3,3,6,12,4,4,4,3,3,3,6,4,4,4,8,1,1],[1,7,16,7,3,9,16,1,9,
9,4,1,3,3,4,1,1,1],[1,7,12,16,7,6,6,12,8,16,1,1,1,3,3,2,3,3,6,12,4,8,3,3,3,6,
4,4,4,8,1,1],[1,3,24,16,1,12,6,12,8,8,12,12,16,3,3,3,6,6,6,12,24,4,8,8,1,3,3,
6,6,4,8,3,1,1],[1,7,12,16,7,6,6,8,8,12,16,1,3,3,12,12,4,8,8,1,3,3,4,1,1,1],[1,
3,12,16,1,6,6,6,16,3,3,3,6,6,6,4,1,3,3,4,3,1,1],[1,3,24,16,1,12,6,12,8,8,12,
12,16,3,3,3,6,6,6,12,24,4,8,8,1,3,3,6,6,4,8,3,1,1],[1,3,12,16,1,6,6,6,16,3,6,
3,3,6,6,4,1,3,3,4,3,1,1],[1,3,12,16,1,12,6,16,3,3,3,6,6,6,4,1,3,3,4,3,1,1],[1,
3,12,16,1,12,6,16,3,3,3,6,6,6,4,1,3,3,4,3,1,1],[1,7,12,16,7,6,6,12,16,1,3,3,
12,12,4,1,3,3,4,1,1,1],[1,7,12,12,4,7,1,3,6,6,6,6,12,12,4,8,8,1,3,3,3,3,3,3,
12,12,6,6,1,4,4,4,1,3,3,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,1,18,12,4,1,3,3,4,6,6,6,
6,6,6,6,6,4,8,8,1,3,3,3,3,3,6,3,6,12,12,1,4,4,4,1,3,3,3,3,3,3,1,2,2,4,3,1,1,1,
1],[1,1,12,18,4,1,3,3,6,6,12,12,4,8,8,1,3,3,3,3,3,6,3,6,4,4,4,1,3,3,3,3,3,3,1,
4,3,1,1,1,1],[1,1,18,12,4,1,3,3,4,6,6,6,6,6,6,6,6,4,8,8,1,3,3,3,3,3,6,3,6,12,
12,1,4,4,4,1,3,3,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,1,12,18,4,1,3,3,6,6,12,12,4,8,
8,1,3,3,3,3,3,6,3,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,7,24,24,7,3,9,12,12,
12,12,16,16,24,24,48,48,1,9,9,6,6,6,6,12,12,12,12,12,12,12,12,24,24,24,24,24,
24,24,24,48,48,1,3,2,2,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,
12,12,24,24,24,24,1,2,2,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,1,3,
3,6,6,6,6,1],[1,7,24,8,7,3,9,12,12,4,4,16,16,24,8,1,9,9,4,4,6,6,2,2,8,12,4,12,
12,4,4,12,4,12,12,8,24,24,8,8,8,1,3,1,3,3,1,3,4,4,6,2,2,6,8,12,12,12,12,4,4,4,
4,4,4,4,4,12,12,4,24,8,24,8,8,8,1,1,1,1,3,1,1,4,6,2,2,2,6,4,4,12,4,4,4,4,4,4,
8,1,1,1,2,2,2,2,2,2,1],[1,7,8,8,7,3,9,4,4,4,4,8,8,16,16,1,9,9,2,2,2,2,4,4,4,4,
4,4,4,4,8,8,8,8,8,8,1,3,1,3,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,8,8,1,1,1,1,1,1,
1,2,2,4,4,4,4,1,1,1,2,2,1],[1,7,8,8,7,7,21,4,4,4,4,8,8,1,21,21,2,2,2,2,4,4,4,
4,4,4,4,4,8,8,8,8,8,7,7,1,21,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,7,1,1,1,1,1,
1,2,4,4,4,4,4,4,4,1,1,1,2,2,1],[1,7,8,8,7,3,9,4,4,4,4,8,8,1,9,9,2,2,2,2,4,4,4,
4,4,4,4,4,8,8,8,8,8,8,1,3,1,3,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,8,8,1,1,1,1,1,
1,1,2,2,4,4,4,4,1,1,1,2,2,1],[1,7,8,8,7,3,9,4,4,4,4,8,8,1,9,9,2,2,2,2,4,4,4,4,
4,4,4,4,16,8,8,8,8,1,3,1,3,1,1,1,2,2,2,2,4,8,8,4,4,8,4,4,4,4,4,1,1,1,1,1,1,1,
4,4,4,8,1,2,2,2,1],[1,7,8,24,7,3,9,4,4,12,12,8,24,32,1,9,9,4,4,2,2,6,6,8,4,12,
12,4,12,12,12,4,12,4,8,24,8,24,8,8,1,3,3,3,1,3,1,4,4,2,6,6,2,8,4,12,4,4,4,4,
12,4,12,4,4,4,12,12,12,8,8,8,24,8,24,1,3,1,1,1,1,1,4,2,2,6,2,6,4,4,4,4,4,4,12,
4,4,8,1,1,1,2,2,2,2,2,2,1],[1,7,32,8,7,1,3,16,16,4,4,16,16,8,8,32,8,8,8,8,8,1,
3,3,4,4,8,8,2,2,8,12,12,12,12,12,12,24,4,4,4,32,8,8,4,12,4,8,16,16,16,16,16,1,
1,3,3,4,4,6,2,1,1,2,2,8,3,8,12,12,12,12,2,2,2,4,2,2,12,2,2,12,4,4,4,24,4,24,4,
4,4,4,4,4,4,4,1,3,4,6,1,2,1,1,1,1,1,6,1,2,12,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,
1,1,1,1,1,1,1,2,2,2,2,1],[1,3,24,16,1,2,4,12,8,4,8,8,8,8,8,16,16,24,24,16,2,1,
2,2,2,4,2,4,4,4,6,2,4,4,2,2,8,4,8,12,8,4,8,8,12,12,12,24,16,16,16,1,1,1,1,2,1,
2,3,2,2,1,2,2,2,2,2,6,4,2,2,2,4,4,4,4,8,8,8,4,4,4,4,8,4,1,1,1,1,2,2,2,1,2,2,2,
2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,16,16,1,6,8,12,4,8,8,8,8,16,16,16,8,8,3,2,
2,4,2,2,4,6,2,8,10,4,2,4,4,8,8,4,4,4,8,16,16,16,16,1,1,1,2,2,2,2,2,2,2,2,2,4,
4,4,8,2,2,2,4,4,4,4,4,4,4,4,1,2,2,1,1,1,1,2,4,2,2,2,4,2,2,2,1,1,1,1,1,1,1,1],[
1,3,8,16,1,2,4,4,4,8,8,8,16,16,2,1,2,2,4,4,4,4,4,6,2,12,4,8,4,8,8,1,1,1,4,4,4,
2,4,2,4,4,4,4,1,1,2,1,2,2,2,1,1,1,1],[1,3,32,1,6,16,4,12,8,8,16,16,24,8,8,3,2,
2,6,6,14,2,2,12,2,4,4,8,4,4,4,24,24,16,16,1,2,2,3,3,6,6,2,2,2,12,2,2,2,4,4,4,
4,4,4,4,4,3,6,6,1,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,8,1,2,4,4,8,4,2,1,2,
2,4,2,4,6,4,4,4,12,4,4,8,1,1,1,4,2,4,4,4,2,4,4,4,4,1,1,2,1,2,2,2,1,1,1,1],[1,
3,8,1,2,4,4,8,4,2,1,2,2,4,2,4,6,4,4,4,12,4,8,4,1,1,1,4,2,4,4,2,4,4,4,4,4,1,1,
1,2,2,2,2,1,1,1,1],[1,3,8,16,1,2,4,4,4,8,8,8,16,16,2,1,2,2,4,4,4,4,4,6,2,12,4,
8,4,8,8,1,1,1,4,4,4,2,4,2,4,4,4,4,1,1,2,1,2,2,2,1,1,1,1],[1,7,8,8,7,3,9,4,4,4,
4,8,8,1,9,9,2,2,2,2,4,4,4,4,4,4,4,4,16,8,8,1,3,1,3,1,1,1,2,2,2,2,4,8,8,8,4,4,
4,4,4,4,4,1,1,1,4,2,2,2,2,2,2,2,2,2,2,4,2,2,4,1,1,1,1,1,1,1,1],[1,3,24,8,1,6,
12,16,4,16,16,24,3,2,2,6,6,2,4,12,2,2,14,4,8,4,4,24,24,4,1,2,2,3,3,6,6,4,12,2,
2,2,2,2,2,4,4,4,4,4,4,4,3,6,6,1,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,8,24,
1,6,4,8,8,12,8,16,16,16,3,2,2,4,2,2,4,2,4,4,2,10,8,6,4,8,8,4,4,8,4,16,16,1,1,
1,2,2,2,2,2,2,4,4,4,2,4,2,8,2,2,2,2,4,4,4,4,4,4,4,1,2,2,1,1,2,1,1,4,2,2,4,2,2,
2,2,1,1,1,1,1,1,1,1],[1,3,8,16,1,2,4,4,8,12,8,8,8,2,1,2,2,4,2,4,2,4,2,8,2,2,4,
4,6,4,4,8,8,4,4,4,4,4,8,1,1,1,1,2,3,2,1,2,1,2,4,4,2,2,2,2,2,6,2,2,4,2,4,4,4,4,
4,4,4,1,2,1,2,1,1,2,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,7,8,32,7,1,3,4,
4,16,16,8,32,32,16,16,1,3,3,4,4,2,2,8,8,8,12,12,12,12,12,12,24,8,4,8,32,12,4,
4,4,4,16,8,1,1,3,3,4,4,1,2,3,2,6,1,8,2,8,12,4,2,2,12,12,2,2,2,2,12,12,2,12,4,
4,4,4,4,4,4,4,4,24,24,4,4,4,1,3,4,1,1,1,1,6,1,1,1,2,6,2,2,2,12,2,2,2,2,2,2,2,
2,2,2,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,7,8,16,7,1,3,4,4,8,8,8,16,16,16,1,3,
3,2,2,4,4,4,4,4,4,8,8,4,8,16,12,4,4,4,4,16,8,1,1,1,1,1,2,3,2,2,1,4,2,4,4,4,2,
2,4,4,2,2,2,2,2,4,4,4,4,4,1,1,1,1,2,2,1,1,1,1,2,1,2,2,2,2,2,2,1,1,1,1,1,1,1,
1],[1,3,24,16,1,2,4,12,8,4,8,8,8,8,8,16,16,24,24,16,2,1,2,2,2,4,2,4,4,4,6,2,4,
4,2,2,8,4,8,12,8,4,8,8,12,12,12,24,16,16,16,1,1,1,1,2,1,2,3,2,2,1,2,2,2,2,2,6,
4,2,2,2,4,4,4,4,8,8,8,4,4,4,4,4,8,1,1,1,1,2,2,2,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,
1,1,1,1],[1,3,8,16,1,2,4,4,8,12,8,8,8,2,1,2,2,4,2,4,2,4,2,8,2,2,4,4,6,4,4,8,4,
4,4,4,4,8,8,1,1,1,1,2,3,2,1,2,1,2,4,4,2,2,2,2,4,2,6,2,2,2,4,4,4,4,4,4,4,1,2,1,
2,1,1,2,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,7,16,8,7,1,3,8,8,4,4,8,8,16,
8,8,8,8,8,1,3,3,4,4,2,2,4,4,4,4,8,4,4,4,16,8,8,4,12,4,8,16,1,1,1,1,2,2,1,1,2,
2,4,3,4,4,4,2,2,2,4,4,2,2,4,2,2,4,4,4,4,1,1,1,2,1,2,1,2,1,1,1,2,1,2,2,2,2,2,1,
1,1,1,1,1,1,1],[1,21,28,7,7,21,28,8,21,7,7,8,7,7,1],[1,21,28,7,7,21,28,8,21,7,
7,8,7,7,1],[1,7,28,7,28,8,1,7,8,7,1,1],[1,3,24,64,1,6,12,12,16,16,24,3,6,6,12,
12,24,24,16,64,64,1,2,2,3,3,6,6,12,3,6,6,4,8,8,1,1],[1,7,12,24,16,7,6,6,12,12,
4,4,12,24,24,24,12,12,16,32,1,1,1,3,3,6,6,2,3,3,6,12,6,6,12,24,24,24,24,4,4,4,
16,3,3,6,3,3,3,6,3,3,6,6,6,6,6,4,4,4,8,8,8,8,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,7,
24,16,7,1,3,12,12,24,32,16,1,3,3,4,4,6,6,8,12,12,12,12,12,12,24,24,4,8,16,1,3,
3,4,4,6,6,8,12,12,12,12,12,12,24,24,4,4,4,8,3,4,6,6,12,4,4,4,8,1,1,1],[1,7,24,
16,7,1,3,12,12,16,16,24,16,1,3,3,4,4,6,6,8,12,12,12,12,12,12,24,24,4,4,4,16,1,
3,3,4,4,6,6,8,12,12,12,12,12,12,24,24,4,4,4,8,3,4,6,6,12,4,4,4,8,1,1,1],[1,7,
36,16,7,18,18,4,4,24,24,36,12,12,16,32,1,1,1,9,9,2,3,3,6,6,6,36,36,24,24,4,4,
4,16,3,9,9,3,3,3,3,6,6,6,6,6,4,4,4,8,8,8,8,3,1,3,3,3,3,3,4,4,4,3,1,1],[1,7,16,
7,7,21,16,1,21,21,4,16,7,7,21,4,7,1,4,1,1,1],[1,7,24,16,7,3,9,12,12,24,16,32,
1,9,9,6,6,12,12,12,12,12,24,4,16,1,3,3,3,3,6,6,12,6,6,6,12,4,8,1,3,3,6,6,1,4,
3,1,2,1],[1,7,24,16,7,3,9,12,12,24,16,32,1,9,9,6,6,12,12,12,12,12,24,4,16,1,3,
3,3,3,6,6,6,6,6,12,12,4,8,1,3,3,6,6,1,4,3,1,2,1],[1,7,36,16,7,18,18,36,8,16,
32,1,1,1,9,9,2,3,3,6,6,36,36,6,4,8,16,3,9,9,3,3,3,3,6,6,6,6,6,4,4,4,8,8,3,1,3,
3,3,3,3,4,4,4,3,1,1],[1,7,24,12,16,7,12,12,6,6,24,12,8,16,32,1,1,1,6,6,3,3,2,
3,3,6,6,24,12,12,6,24,4,8,16,3,3,3,6,6,3,3,3,3,6,6,6,6,6,4,4,4,8,8,1,3,3,3,3,
3,3,4,4,4,3,1,1],[1,7,36,16,7,18,18,12,12,8,8,36,12,12,16,32,1,3,3,9,9,6,9,9,
18,6,6,36,12,24,24,4,8,8,16,1,9,3,9,9,3,3,18,6,6,6,6,4,8,8,8,1,3,3,3,3,3,3,1,
4,3,1,1,1,1],[1,7,36,16,7,18,18,36,24,16,32,1,3,3,9,9,6,9,9,18,6,36,12,6,4,16,
1,3,9,3,9,9,3,6,18,6,6,6,4,8,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,7,16,7,1,3,16,1,
3,3,12,4,16,1,6,6,6,4,3,4,1,1],[1,7,24,24,7,7,21,12,12,12,12,16,16,24,24,32,1,
21,21,4,4,4,4,6,6,6,6,8,8,12,12,12,12,12,12,12,12,12,12,12,12,24,24,24,24,24,
24,24,7,7,3,21,3,3,3,4,4,4,4,6,6,6,6,8,8,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,24,24,24,24,24,24,24,24,7,3,3,3,3,3,3,4,4,6,6,6,6,6,6,6,
6,6,12,12,12,12,12,12,12,12,12,12,12,12,12,24,1,1,1,2,3,3,3,3,6,6,6,6,6,6,6,6,
6,6,6,3,3,3,6,1],[1,7,24,24,7,7,21,12,12,12,12,16,16,24,24,48,48,1,21,21,6,6,
6,6,12,12,12,12,12,12,12,12,24,24,24,24,24,24,24,24,24,48,48,7,7,2,2,3,21,3,3,
3,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,12,12,24,24,24,24,7,2,
2,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,1,1,3,3,
3,6,6,6,6,6,6,6,6,1,3,3,1],[1,7,40,24,7,3,9,20,20,12,12,16,16,16,16,40,24,48,
48,16,16,1,9,9,4,4,10,10,6,6,8,20,12,20,12,12,12,20,12,12,20,8,24,24,8,8,40,
24,24,24,24,24,24,48,48,32,32,32,32,1,3,2,2,3,3,5,3,5,4,4,10,6,6,6,6,6,6,6,10,
6,8,20,12,12,12,4,4,12,12,12,4,12,12,12,12,20,4,4,12,12,8,8,8,24,24,8,24,24,
24,8,8,8,8,8,8,8,8,8,24,8,1,2,2,3,3,3,5,3,3,4,6,6,6,6,6,2,6,2,6,2,2,2,6,6,6,6,
6,12,12,4,12,4,4,4,4,4,4,12,4,4,12,12,4,4,4,4,4,4,12,4,8,8,8,8,8,1,1,3,3,1,1,
1,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,6,6,4,4,4,4,1,1,1,2,2,2,2,2,2,1],[1,7,
24,40,7,3,9,12,12,20,20,16,16,24,40,32,48,48,1,9,9,4,4,6,6,10,10,8,12,12,20,
12,12,20,20,12,20,12,8,24,24,8,24,40,24,24,24,24,24,8,48,48,1,3,2,2,5,3,3,5,3,
4,4,6,6,6,6,6,10,6,10,6,6,8,12,12,4,4,12,12,12,12,4,20,12,4,12,12,12,12,12,4,
20,24,8,8,24,24,8,8,8,8,8,8,8,8,24,8,24,8,8,24,8,1,2,2,5,3,3,3,3,3,4,6,6,6,6,
2,6,6,2,2,2,6,6,6,2,6,6,6,12,12,4,4,4,4,4,12,12,12,4,4,12,4,4,4,4,4,4,12,4,4,
4,8,8,8,8,8,1,1,1,3,3,1,1,6,2,2,2,2,2,6,2,6,2,2,2,2,6,2,2,2,2,2,2,4,4,4,4,1,1,
1,2,2,2,2,2,2,1],[1,7,8,8,7,7,21,4,4,4,4,8,8,16,16,1,21,21,2,2,2,2,4,4,4,4,4,
4,4,4,8,8,8,8,8,8,8,8,8,7,7,1,21,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
8,8,8,8,7,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,2,
2,1,1,1,1],[1,7,8,24,7,3,9,4,4,12,12,8,24,32,16,16,1,9,9,4,4,2,2,6,6,8,4,12,
12,4,12,12,12,4,12,4,24,24,8,8,8,24,8,8,1,3,3,3,1,3,1,4,4,2,6,6,2,8,4,12,12,
12,4,4,12,12,12,4,4,4,12,4,12,4,12,8,8,8,8,24,8,24,8,1,3,1,1,1,1,1,4,6,2,2,2,
6,2,6,4,4,4,4,4,4,4,12,4,4,8,4,8,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,1,1,1,2,2,
1],[1,7,24,8,7,3,9,12,12,4,4,16,16,24,8,1,9,9,4,4,6,6,2,2,8,12,4,12,12,4,4,12,
4,12,12,24,24,8,24,8,8,8,8,1,3,1,3,3,1,3,4,4,6,2,2,6,8,12,12,12,12,12,12,4,4,
12,4,4,4,4,12,12,4,4,24,8,24,8,8,8,8,8,1,1,1,1,3,1,1,4,6,6,2,2,2,2,6,4,4,12,4,
4,4,4,4,4,8,4,4,8,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,1,1,1,2,2,1],[1,7,24,24,64,
7,3,9,12,12,12,12,16,16,24,24,48,48,64,1,9,9,6,6,6,6,12,12,12,12,12,12,12,12,
24,24,24,24,24,24,24,24,48,48,16,64,64,1,3,2,2,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,
12,12,12,12,12,12,12,12,12,12,24,24,24,24,16,1,2,2,3,3,3,3,3,3,6,6,6,6,6,6,6,
6,6,6,12,12,12,12,12,12,4,8,8,1,3,3,6,6,6,6,4,8,8,1,1,1],[1,3,48,64,1,6,24,12,
12,24,24,16,16,24,24,24,64,3,6,6,6,6,18,6,6,12,6,12,12,24,12,12,12,24,24,48,
48,16,64,64,1,2,2,3,3,6,6,6,6,6,12,6,6,6,12,12,12,12,12,12,12,12,16,32,32,3,6,
6,3,3,3,3,6,6,6,6,6,6,4,8,8,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,3,24,24,64,1,6,12,
24,12,16,16,24,64,3,6,6,6,6,6,12,12,6,6,18,12,24,12,12,24,24,12,16,64,64,1,2,
2,3,3,6,6,12,12,6,6,6,6,6,6,12,12,12,12,12,12,12,16,3,6,6,3,3,3,3,6,6,6,6,6,6,
4,8,8,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,7,48,24,16,7,1,3,24,24,12,12,16,16,24,24,
48,24,24,24,24,24,16,32,32,1,3,3,4,4,12,12,6,6,8,12,12,12,12,12,12,24,12,12,
12,48,24,24,12,36,12,24,48,48,48,48,48,4,4,4,16,16,16,1,3,3,3,4,4,6,6,3,3,6,6,
12,9,8,12,12,12,12,6,6,6,12,6,6,12,6,6,12,12,12,12,24,12,24,12,12,12,12,12,12,
12,12,4,4,4,8,8,8,8,8,8,8,16,3,3,4,6,3,6,3,3,3,3,3,6,3,6,12,6,6,6,6,6,6,6,6,6,
6,6,6,12,12,12,12,4,4,4,4,4,4,4,4,4,8,1,3,3,3,3,3,3,6,6,6,6,1,4,4,4,3,1,1,1,
1],[1,7,24,48,16,7,1,3,12,12,24,24,24,48,32,48,48,16,32,32,1,3,3,4,4,6,6,12,
12,8,12,12,12,12,12,12,24,24,12,24,48,36,12,12,12,12,48,24,4,8,16,16,16,1,3,3,
3,4,4,3,6,9,6,6,3,12,6,8,12,12,6,6,12,12,6,6,6,6,12,12,6,12,12,12,12,12,12,12,
12,12,12,24,24,12,12,12,4,4,4,8,8,8,16,3,3,4,3,3,3,3,6,3,3,3,6,6,6,6,6,12,6,6,
6,6,6,6,6,6,6,6,12,12,12,12,4,4,4,4,4,4,4,4,4,8,1,3,3,3,3,3,3,6,6,6,6,1,4,4,4,
3,1,1,1,1],[1,7,24,24,16,7,7,21,12,12,12,12,24,24,16,32,32,1,21,21,6,6,6,6,12,
12,12,12,12,12,12,12,24,24,24,24,24,4,16,16,16,7,7,3,21,3,3,3,6,6,6,6,12,12,
12,12,12,12,12,12,12,12,12,4,8,8,16,7,3,3,3,3,3,3,6,12,12,12,12,12,12,12,1,4,
4,4,1,3,3,6,6,1,2,2,4,3,1,1,1,1],[1,7,7,7,21,64,1,21,21,7,7,21,7,8,1,1],[1,7,
40,40,7,7,21,20,20,20,20,16,16,16,16,40,40,32,48,48,16,16,1,21,21,4,4,4,4,10,
10,10,10,8,8,20,12,20,20,12,12,20,20,20,20,12,20,40,24,24,24,8,8,8,40,40,24,
24,40,24,40,8,48,48,32,32,32,32,7,7,2,2,5,21,5,5,5,4,4,4,4,10,6,6,6,6,10,6,10,
10,6,8,8,20,12,12,12,12,20,20,12,20,20,12,20,20,12,4,20,20,20,12,4,12,4,12,4,
20,8,8,8,24,24,8,24,24,24,24,24,8,8,8,8,8,24,8,8,8,24,8,24,24,8,8,8,8,8,24,8,
8,7,2,2,5,5,5,5,5,5,4,4,6,6,6,6,6,10,6,6,6,6,2,2,2,6,2,6,6,6,6,6,6,6,6,12,20,
12,12,12,4,4,12,4,4,20,4,20,4,4,12,12,4,4,12,4,4,4,4,20,4,12,20,20,20,4,4,12,
4,4,4,4,8,8,8,8,8,8,8,24,8,1,1,1,1,2,1,3,5,1,3,1,3,1,5,2,6,2,6,2,2,6,2,6,6,6,
10,2,2,2,2,6,2,6,6,6,2,2,2,6,2,2,2,2,6,2,6,6,2,6,10,2,4,4,4,4,4,4,4,4,1,3,1,5,
1,3,3,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,7,24,24,64,7,7,21,
12,12,12,12,16,16,24,24,32,64,1,21,21,4,4,4,4,6,6,6,6,8,8,12,12,12,12,12,12,
12,12,12,12,12,12,24,24,24,24,24,24,24,16,16,16,32,64,7,7,3,21,3,3,3,4,4,4,4,
6,6,6,6,8,8,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,24,24,
24,24,24,24,24,16,16,16,16,16,32,32,7,3,3,3,3,3,3,4,4,6,6,6,6,6,6,6,6,6,12,12,
12,12,12,12,12,12,12,12,12,12,12,24,4,16,16,16,16,16,32,32,1,1,1,2,3,3,3,3,6,
6,6,6,6,6,6,6,6,6,6,4,4,4,3,3,3,6,4,4,4,8,1,1],[1,7,24,24,64,7,7,21,12,12,12,
12,16,16,24,24,48,48,64,1,21,21,6,6,6,6,12,12,12,12,12,12,12,12,24,24,24,24,
24,24,24,24,24,48,48,16,64,64,64,7,7,2,2,3,21,3,3,3,6,6,6,6,6,6,6,6,6,6,12,12,
12,12,12,12,12,12,12,12,12,12,12,24,24,24,24,16,7,2,2,3,3,3,3,3,3,6,6,6,6,6,6,
6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,4,8,8,16,1,1,3,3,3,6,6,6,6,6,6,6,6,
4,8,8,1,3,3,1,4,1,1,1],[1,7,72,24,64,7,3,9,36,36,12,12,48,48,16,16,72,24,48,
48,48,48,64,128,1,9,9,12,12,18,18,6,6,24,36,12,36,36,12,12,36,12,36,36,24,72,
24,24,24,72,24,24,24,24,24,24,48,48,96,96,96,96,16,64,64,64,1,3,2,2,3,3,9,3,9,
12,12,18,6,6,6,6,6,6,6,18,6,24,36,36,36,36,12,12,12,12,12,12,12,12,12,12,36,
12,12,36,12,24,24,24,72,24,24,24,72,24,24,24,24,24,24,24,24,24,24,24,24,16,32,
64,64,1,2,2,3,3,3,9,3,3,12,18,6,6,6,6,6,6,6,6,6,6,6,6,18,6,6,6,12,12,12,36,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,24,24,24,24,4,8,8,16,
1,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,4,8,8,8,8,8,
1,3,3,6,6,6,6,6,6,1,4,8,3,1,2,1],[1,7,24,72,64,7,3,9,12,12,36,36,16,16,24,72,
96,48,48,64,128,1,9,9,12,12,6,6,18,18,24,12,36,36,12,36,36,36,12,36,12,24,72,
24,24,24,72,24,24,24,24,24,24,48,48,16,64,64,64,1,3,2,2,9,3,3,9,3,12,12,6,6,6,
6,6,18,6,18,6,6,24,12,36,12,12,12,12,12,36,12,36,12,12,12,12,12,36,36,12,36,
24,24,24,24,24,24,24,24,24,24,24,24,24,72,24,72,24,24,24,24,16,32,1,2,2,9,3,3,
3,3,3,12,6,6,6,6,6,6,6,6,6,6,18,6,6,6,6,6,18,12,12,12,12,12,12,12,12,12,36,12,
12,12,12,12,12,12,12,12,12,12,12,12,24,24,24,24,24,4,8,8,16,1,3,3,3,3,3,3,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,4,8,8,8,8,8,1,3,3,6,6,6,6,6,6,
1,4,8,3,1,2,1],[1,7,112,7,7,21,112,64,1,21,21,28,112,7,7,21,64,28,7,7,28,8,1,
7,8,7,1,1],[1,7,84,112,7,42,42,84,56,112,224,64,1,7,7,21,21,14,21,21,42,42,84,
84,42,28,56,112,7,21,21,21,21,21,21,42,42,42,42,42,64,28,28,28,56,56,7,7,21,
21,21,21,21,7,28,28,28,8,21,7,7,7,7,8,7,7,1],[1,7,84,112,7,42,42,28,28,56,56,
84,84,84,112,224,64,1,7,7,21,21,14,21,21,42,42,42,84,84,168,168,28,28,28,56,
56,112,7,21,21,21,21,21,21,42,42,42,42,42,64,28,28,28,56,56,56,56,56,56,7,7,
21,21,21,21,21,7,28,28,28,8,21,7,7,7,7,8,8,8,7,7,1],[1,7,72,72,64,7,7,21,36,
36,36,36,16,16,48,48,72,72,32,144,144,48,48,64,128,128,1,21,21,4,4,4,4,18,18,
18,18,8,8,36,12,36,36,12,12,36,36,36,36,12,36,72,24,24,72,24,24,24,72,72,72,
72,72,72,72,24,144,144,96,96,96,96,16,16,16,32,64,64,64,7,7,6,6,9,21,9,9,9,4,
4,4,4,18,18,18,18,18,18,18,18,18,18,8,8,36,12,12,12,12,36,36,36,36,36,12,36,
36,36,12,36,36,36,12,12,12,12,12,12,36,24,24,24,24,72,24,24,72,24,72,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,72,24,24,16,16,16,16,16,32,32,
32,32,32,32,32,32,64,7,6,6,9,9,9,9,9,9,4,4,6,18,18,18,18,18,18,6,18,6,6,6,6,6,
6,6,18,6,18,6,18,18,6,36,36,12,12,12,12,12,12,12,12,36,12,36,12,12,36,12,12,
12,36,12,12,12,12,36,12,12,36,36,36,12,12,36,12,12,12,12,24,24,24,24,24,24,24,
24,24,4,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,32,32,1,3,1,1,2,3,9,9,3,
3,3,3,3,9,6,18,6,18,6,6,6,6,6,6,6,18,6,6,6,6,6,6,6,6,18,6,6,6,18,6,6,6,6,18,6,
18,6,6,6,18,6,12,12,12,12,12,12,12,12,4,4,4,8,8,16,16,16,16,16,3,3,3,9,3,9,3,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,4,4,4,4,4,4,4,4,4,8,1,3,3,3,3,3,3,4,4,4,3,1,
1],[1,7,72,72,64,7,7,21,36,36,36,36,48,48,16,16,72,72,96,48,48,48,48,64,128,
128,1,21,21,12,12,12,12,18,18,18,18,24,24,36,36,36,36,36,36,36,36,36,36,36,36,
72,72,72,24,24,24,24,72,72,24,24,72,24,72,24,48,48,96,96,96,96,16,64,64,64,64,
64,7,7,2,2,9,21,9,9,9,12,12,12,12,18,6,6,6,6,18,6,18,18,6,24,24,36,36,36,36,
36,36,36,12,36,36,36,36,36,12,12,36,36,36,36,12,36,12,36,12,36,24,24,24,72,24,
24,72,24,72,24,72,24,24,24,24,24,72,24,24,24,72,24,72,72,24,24,24,24,24,24,24,
24,16,32,32,64,64,64,7,2,2,9,9,9,9,9,9,12,12,18,6,6,6,6,18,6,18,6,18,6,6,6,18,
6,18,6,18,6,18,6,6,18,12,36,36,36,36,12,12,36,12,12,36,12,36,12,12,12,36,12,
12,12,12,12,12,12,36,12,36,36,36,36,12,12,12,12,12,12,12,24,24,24,24,24,24,24,
72,24,4,8,8,16,16,16,1,1,3,3,6,3,3,9,3,9,3,9,3,9,6,6,6,6,6,6,18,6,18,18,18,18,
6,6,6,6,18,6,18,18,6,6,6,6,6,6,6,6,6,6,6,6,18,6,18,18,6,12,12,12,12,12,12,12,
12,4,8,8,8,8,8,8,8,8,16,1,9,3,9,3,3,9,6,6,6,6,6,6,6,6,18,6,6,6,6,6,6,6,6,1,4,
4,4,8,8,3,1,3,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,7,168,168,448,7,7,21,84,84,84,84,
112,112,112,112,168,168,224,336,336,336,336,448,896,896,512,1,21,21,28,28,28,
28,42,42,42,42,56,56,84,84,84,84,84,84,84,84,84,84,84,84,168,168,168,168,168,
168,168,168,168,168,168,168,168,168,168,336,336,672,672,672,672,112,112,112,
224,448,448,448,448,448,7,7,14,14,21,21,21,21,21,28,28,28,28,42,42,42,42,42,
42,42,42,42,42,56,56,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,
84,84,84,84,84,84,168,168,168,168,168,168,168,168,168,168,168,168,168,168,168,
168,168,168,168,168,168,168,168,168,168,168,168,168,168,168,168,168,512,112,
112,112,112,112,224,224,224,224,224,224,224,224,448,448,448,7,14,14,21,21,21,
21,21,21,28,28,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,
42,42,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,
84,84,84,84,84,84,84,84,84,84,84,84,84,168,168,168,168,168,168,168,168,168,28,
56,56,112,112,112,112,112,112,112,112,112,112,112,112,112,112,112,224,224,64,
1,7,7,7,14,21,21,21,21,21,21,21,21,21,42,42,42,42,42,42,42,42,42,42,42,42,42,
42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,84,84,
84,84,84,84,84,84,28,28,28,56,56,56,56,56,56,56,56,112,112,112,112,112,7,21,
21,21,21,21,21,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,64,64,64,7,
28,28,28,28,28,28,28,28,28,56,56,56,7,7,21,21,21,21,21,7,14,14,28,28,28,8,21,
7,7,7,7,8,8,8,7,7,1]],
[1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,6,6,6,7,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,12,12,
12,12,12,12,12,12,12,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,21,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,56,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,168,168,168,192,192,192,192,192,192,192,192,192,192,192,192,192,256,
256,256,256,256,256,256,384,384,384,384,384,384,448,512,768,768,768,768,1344,
1344,1344,1536,1536,10752],
[422,420,340,336,181,421,420,412,365,365,377,377,354,356,348,345,317,317,280,
224,239,254,254,181,82,79,165,422,412,412,408,409,408,409,400,400,401,401,388,
387,365,377,377,359,377,365,364,377,359,364,365,365,305,285,286,340,336,340,
340,285,286,336,336,317,340,317,336,209,201,146,134,135,157,354,353,356,280,
180,181,179,181,181,421,420,416,415,412,412,412,412,412,408,409,408,409,400,
401,400,401,400,401,401,401,400,400,387,388,359,365,377,365,365,359,373,358,
358,358,377,364,364,358,377,358,358,359,377,365,377,365,365,377,364,340,340,
340,285,336,336,305,340,285,336,305,336,336,340,336,336,305,336,336,340,286,
340,305,286,340,336,340,340,336,340,340,336,165,355,354,356,353,357,266,267,
281,272,269,273,279,280,179,180,181,421,416,415,412,412,412,412,412,412,408,
409,404,400,401,400,401,398,400,400,400,403,400,401,400,404,401,403,401,400,
401,401,401,400,401,358,358,359,365,359,365,365,364,365,365,364,377,358,365,
365,358,377,377,377,358,365,377,377,365,364,365,364,363,359,359,377,377,358,
377,377,377,365,336,340,336,336,340,336,340,305,340,410,395,396,354,356,354,
353,356,357,356,354,353,355,355,355,357,357,353,280,281,384,422,421,420,420,
413,412,412,412,412,412,412,412,412,412,400,401,400,404,400,401,400,400,398,
401,400,398,401,400,400,400,404,400,401,404,400,400,401,400,401,401,401,401,
401,400,401,403,403,401,403,398,401,365,377,377,377,365,377,365,365,408,410,
409,395,395,391,395,392,396,396,396,353,354,355,356,357,421,412,412,412,412,
412,412,400,400,400,403,400,404,404,403,398,401,401,401,401,401,400,401,400,
382,383,384,421,408,409,408,408,410,410,410,409,409,395,396,397,420,421,412,
412,412,412,412,421,415,416,408,409,410,417,412,420,421,421,421,417,418,419,
420,421,422],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,5,5,1,1,1,1,1,2,1,2,1,1,1,1,
2,1,1,2,1,2,2,1,2,1,2,2,1,1,1,2,1,1,1,1,1,2,2,2,2,2,1,2,1,1,2,3,3,3,3,13,6,14,
19,16,5,15,1,5,1,1,1,1,2,1,2,2,2,1,2,1,2,1,1,2,2,1,1,2,2,2,2,1,2,2,2,2,2,2,2,
1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,2,2,11,8,2,2,2,8,11,11,3,1,2,8,11,
11,3,2,3,8,2,3,11,3,1,11,2,3,11,27,32,13,14,6,34,76,74,39,74,76,75,75,19,80,
78,24,1,6,6,2,6,6,2,6,6,2,2,2,6,6,2,6,2,6,6,2,6,6,6,6,6,6,2,2,2,6,6,2,6,2,6,2,
8,2,8,2,9,8,9,9,8,11,6,9,9,6,2,6,11,6,9,11,2,9,8,9,8,2,8,8,11,11,6,11,11,11,6,
11,9,11,11,9,11,9,8,9,83,86,85,13,76,74,6,76,170,14,74,75,166,32,166,34,170,
75,19,39,28,1,6,2,2,7,30,6,6,30,6,30,6,30,6,36,6,36,30,30,30,30,36,8,30,30,8,
6,36,36,6,30,36,30,30,6,36,37,36,6,37,37,37,37,6,37,30,30,37,30,8,37,36,11,11,
37,36,37,9,9,191,83,192,263,86,262,263,262,264,264,85,169,167,166,168,170,6,
30,30,30,30,30,30,36,89,89,90,89,91,91,90,84,87,87,87,37,37,89,87,36,382,383,
282,284,342,192,191,342,83,262,262,344,344,263,264,287,84,83,89,87,88,90,91,
284,385,385,342,344,343,283,290,398,284,385,385,411,418,419,413,405,422],
[( 1, 7,19, 9,24,18, 6)( 2, 8,20,10,25,17, 5)( 3,14,28,26,21,11,15)
( 4,13,23,27,22,12,16),( 3, 5)( 4,23)( 6,24)( 7,17)( 8,13)( 9,10)(11,19)
(12,20)(14,22)(15,16)(18,21)(25,28)],
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1,1]]],[[[1,1,2,1],[2,1,1,3],[3,1,4,-1,3,1,4,-1]]],[[[1,2],[2,1,3,1],[4,1,2,1,
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1,1,1,3,1,2,1,3,-1]],[[1,2],[1,1,2,1],[3,1,4,-1,2,1,4,3,3,1]]],[[[2,1,1,3,2,1,
1,-1]]],[[[2,1,1,-2,2,1,1,2,2,1]],[[1,2],[2,1,1,1,2,1],[3,1,4,-1,3,1,4,
-1]]],[[[1,2],[3,1,2,1,1,1,3,1,2,1,1,-1,2,1]],[[1,2],[1,1,2,1],[2,1,3,-1,4,-1,
2,1,4,1,3,1]]],[[[1,2],[1,1,2,1],[4,2,3,2,2,1,1,1,4,1]],[[1,2],[2,1,3,1],[4,1,
2,1,1,2,2,1,3,1,4,1]],[[1,2],[1,1,2,1],[3,1,4,-1,2,1,4,3,3,1]]],[[[1,1,2,1],[
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1,1,1],[3,1,4,1,3,1,4,1]]],[[[2,1,1,-2,2,1,1,2,2,1]],[[1,2],[2,1,3,1],[3,1,4,
1,2,1,1,-1,4,-1]]],[[[1,1,2,1,1,2,2,1,1,1]],[[1,1,2,1],[1,2,2,1,1,1],[4,1,3,1,
4,1,3,1]]],[[[1,2],[1,1,2,1],[4,1,3,1,2,1,3,1,4,1,3,-1]],[[1,2],[1,1,2,1],[3,
2,2,1,3,1,2,1,4,2]]],[[[1,2],[3,1,2,1,1,1,3,1,2,1,1,-1,2,1]],[[1,1,2,1],[2,1,
1,2],[3,1,4,-1,3,1,4,-1]]],[[[1,2],[2,1,1,1],[4,1,2,1,1,-1,3,-1,2,1,3,1,4,
1]],[[1,2],[1,1,2,1],[4,2,3,2,4,-1,2,1,4,1]]],[[[1,2],[3,1,1,1,2,1,1,-1,3,
-1]],[[1,1,2,1],[2,1,1,-1,3,-1,2,1,3,2]],[[1,1,2,1],[2,1,1,2],[3,1,4,-1,3,1,4,
-1]]],[[[1,2],[2,1,1,1],[4,1,2,1,1,-1,3,-1,2,1,3,1,4,1]],[[1,2],[1,1,2,1],[2,
1,4,1,3,-1,4,-1,2,1,1,-1,2,1,3,1]]],[[[1,2],[2,1,3,1,1,1,2,1,3,1,2,1]]],[[[1,
2],[1,1,2,1],[4,2,3,2,2,1,1,1,4,1]],[[1,2],[1,1,2,1],[3,1,4,-1,2,1,4,3,3,
1]],[[1,2],[1,1,2,1],[3,1,2,1,1,1,4,-1,3,-1,4,-1,2,1]]],[[[1,2],[2,1,3,1],[3,
1,4,1,2,1,1,-1,4,-1]],[[1,2],[3,1,2,1,1,1,2,1,1,-1,2,1,3,-1]]],[[[2,1,1,-1,2,
1,1,1,2,1]],[[1,2],[3,1,1,1,3,1,2,1,3,1]]],[[[1,2],[3,1,1,1,2,1,1,-1,3,-1]],[[
1,2],[2,1,1,-1,3,-1,2,1,3,1,2,1,1,-1]]],[[[1,2],[3,2,2,1,3,1,2,1,3,1]],[[1,
2],[1,1,2,1],[4,1,3,-1,2,1,3,1,4,-1]]],[[[1,2],[3,1,2,1,3,-1]],[[1,1,2,1],[2,
1,3,1,1,-2,3,1]]],[[[1,1,2,1],[3,1,1,-2,2,1,3,2]],[[1,2],[1,1,2,1],[3,1,2,1,4,
2,3,1]]],[[[1,1,2,1],[3,1,1,-2,2,1,3,1,1,1]],[[1,2],[2,1,1,-1,2,1],[4,1,3,-1,
4,1,3,1]]],[[[1,1,2,1],[2,1,1,3,3,-2]],[[1,2],[1,1,2,1],[4,1,3,-1,2,1,3,1,4,
-1]]],[[[1,1,2,1],[3,1,1,-2,2,1,3,2]],[[1,2],[3,1,2,1,1,1,2,1,3,-1,2,1,1,1,2,
1]]],[[[1,2],[1,1,2,1],[3,1,2,1,3,1,4,-2,2,1]],[[1,1,2,1],[2,1,1,-1,2,1,3,2,1,
-2,2,1]]],[[[1,2],[1,1,2,1],[3,2,2,1,3,1,2,1,4,2]],[[1,2],[1,1,2,1],[2,1,1,
1],[3,1,4,1,5,-1,4,1,3,1,5,1]]],[[[1,1,2,1],[3,1,1,-2,2,1,3,2]],[[1,2],[2,1,1,
-1,2,1],[4,1,3,-1,4,1,3,1]]],[[[1,2],[3,1,2,1,3,-1,2,1,3,1,2,1,1,-1]]],[[[1,1,
2,1],[2,1,1,-1,3,-1,2,1,3,2]],[[1,2],[3,1,2,1,1,1,2,1,1,-1,2,1,3,-1]]],[[[2,1,
1,1],[1,2,2,1,1,-1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,3],[3,1,4,-1,3,1,4,
-1]]],[[[2,1,1,1],[1,2,2,1,1,-1],[4,1,3,1,4,1,3,1]],[[2,1,1,1],[1,1,2,1,1,-2,
3,1,2,1,3,-2]],[[1,1,2,1],[1,2,2,1,1,1],[4,1,3,1,4,1,3,1]]],[[[1,2],[3,1,2,1,
1,-1,2,1,3,1,2,1,1,1]],[[1,2],[2,1,1,-1,2,1,1,1,2,1,3,1,2,1,3,-1]]],[[[1,2],[
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2],[3,1,4,-1,3,1,4,-1]],[[1,1,2,1],[1,2,2,1,1,1],[3,1,4,1,3,1,4,1]]],[[[1,1,2,
1],[3,1,1,3,3,-1,2,1,1,1]],[[1,1,2,1],[1,2,2,1,1,1],[3,1,4,1,3,1,4,1]],[[1,
2],[1,1,2,1],[2,1,4,1,3,1,4,2,3,1,1,1]]],[[[1,1,2,1],[2,1,1,3],[3,1,4,-1,3,1,
4,-1]],[[2,1,1,1],[1,1,2,1,1,-2,3,1,2,1,3,-2]]],[[[1,1,2,1],[2,1,3,1,1,-2,3,
1]],[[1,1,2,1],[3,1,1,-1,2,1,3,1,1,-1]],[[1,1,2,1],[2,1,1,2],[3,1,4,-1,3,1,4,
-1]]],[[[2,1,1,1],[1,2,2,1,1,-1],[4,1,3,1,4,1,3,1]],[[1,2],[1,1,2,1],[3,2,2,1,
3,1,2,1,4,2]],[[1,2],[2,1,3,1],[4,1,2,1,1,2,2,1,3,1,4,1]]],[[[1,2],[1,1,2,1],[
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1,1,1],[1,1,2,1,1,-2,3,1,2,1,3,-2]]],[[[1,2],[3,1,2,1,3,-1]],[[1,2],[1,1,2,
1],[4,1,3,-1,2,1,3,1,4,-1]],[[1,2],[2,1,1,1,3,1,1,1,2,1,3,1,2,1,3,1]]],[[[1,
2],[3,2,2,1,3,-1,2,1,1,1,2,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,2,1,2,4,1]],[[
1,2],[1,1,2,1],[4,1,3,-1,1,-1,2,1,3,1,2,1,4,1]]],[[[1,2],[1,1,2,1],[4,1,3,-1,
2,1,3,1,4,-1]],[[1,2],[2,1,1,1,3,1,1,1,2,1,3,1,2,1,3,1]],[[1,2],[3,2,2,1,3,1,
2,1,1,2,2,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,2,1,2,4,1]],[[1,2],[1,1,2,
1],[4,1,3,1,2,1,4,2,3,1,1,1]],[[2,1,1,1],[2,1,3,-1,1,-2,2,1,1,-1,2,1,1,-1,3,
1]]],[[[1,1,2,1],[2,1,1,2],[3,1,4,-1,3,1,4,-1]],[[2,1,1,1],[1,2,2,1,1,-1],[4,
1,3,1,4,1,3,1]],[[1,1,2,1],[1,2,2,1,1,1],[4,1,3,1,4,1,3,1]]],[[[1,2],[2,1,3,
1],[3,1,4,1,2,1,1,-1,4,-1]],[[1,2],[3,1,2,1,3,-1,2,1,1,1,2,1,3,1]]],[[[1,2],[
3,2,2,1,3,1,1,1]],[[1,2],[1,1,2,1,3,-1,2,1,1,-1,3,-1]]],[[[1,1,2,1],[3,1,1,3,
3,-1,2,1,1,1]],[[1,1,2,1],[1,2,2,1,1,1],[3,1,4,1,3,1,4,1]],[[1,2],[1,1,2,1],[
3,2,2,1,3,1,2,1,4,2]]],[[[1,2],[1,1,2,1],[4,2,3,2,2,1,1,1,4,1]],[[1,2],[2,1,3,
1],[4,1,2,1,1,2,2,1,3,1,4,1]],[[1,2],[1,1,2,1],[3,1,4,-1,2,1,4,3,3,1]],[[1,
2],[1,1,2,1],[3,1,2,1,1,1,4,-1,3,-1,4,-1,2,1]]],[[[1,1,2,1],[1,2,2,1,1,1],[4,
1,3,1,4,1,3,1]],[[1,2],[1,1,2,1],[4,1,3,1,2,1,4,2,3,1,1,1]],[[1,1,2,1],[2,1,1,
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1,2,1],[3,1,1,-3,3,-1,1,-1,2,1]],[[1,2],[2,1,1,1,2,1],[3,1,4,-1,3,1,4,
-1]]],[[[1,1,2,1],[3,1,1,3,3,-1,2,1,1,1]],[[1,1,2,1],[1,2,2,1,1,1],[3,1,4,1,3,
1,4,1]],[[1,1,2,1],[1,2,2,1,1,1],[4,1,3,1,4,1,3,1]]],[[[1,1,2,1],[1,2,2,1,1,
1],[3,1,4,1,3,1,4,1]],[[1,1,2,1],[1,2,2,1,1,1],[4,1,3,1,4,1,3,1]],[[1,2],[1,1,
2,1],[4,2,3,2,4,-1,2,1,4,1]]],[[[1,2],[3,1,1,1,3,1,2,1,3,1]],[[1,2],[2,1,3,
1],[3,1,4,1,2,1,1,-1,4,-1]]],[[[1,2],[3,1,2,1,1,1,3,1,2,1,1,-1,2,1]],[[1,2],[
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1,1,2,1],[2,1,1,-1,3,-1,2,1,3,2]],[[1,2],[1,1,2,1],[4,1,3,1,2,1,3,-1,4,-1]],[[
1,2],[2,1,1,1,3,1,2,1,1,-1,3,-1,2,1]]],[[[1,1,2,1],[1,2,2,1,1,1],[4,1,3,1,4,1,
3,1]],[[1,2],[3,2,2,1,1,1,2,1,1,-1,2,1,3,-2]],[[1,2],[1,1,2,1],[2,1,4,1,3,-1,
4,-1,2,1,1,-1,2,1,3,1]]],[[[1,1,2,1],[3,1,1,1,3,-2]],[[1,2],[1,1,2,1],[3,1,4,
-1,2,1,4,1,3,-1]],[[1,2],[2,1,1,-1,2,1],[4,1,3,1,4,1,3,1]]],[[[1,1,2,1,1,2,2,
1,1,1]],[[1,1,2,1],[1,3,3,-1,2,1,1,1,3,1]],[[1,2],[2,1,1,-1,2,1,1,1,2,1,3,1,2,
1,3,-1]]],[[[1,1,2,1],[2,1,1,3],[3,1,4,-1,3,1,4,-1]],[[1,2],[1,1,2,1],[3,2,2,
1,1,1,3,1,4,-1,2,1,4,1]],[[1,2],[1,1,2,1],[3,1,2,1,1,1,4,1,3,1,2,1,4,2]]],[[[
1,2],[3,1,1,1,2,1,1,-1,3,-1]],[[1,1,2,1],[2,1,1,-1,3,-1,2,1,3,2]],[[1,2],[2,1,
1,1,3,1,2,1,1,-1,3,-1,2,1]]],[[[1,1,2,1],[3,3,1,2]],[[1,2],[1,1,2,1],[3,1,2,1,
4,1,3,1,1,1,4,-1]]],[[[1,1,2,1],[1,2,2,1,3,2,1,1]],[[1,1,2,1],[1,2,2,1,1,1],[
4,1,3,1,4,1,3,1]]],[[[1,2],[3,1,2,1,3,-1,2,1,1,1,3,1]],[[1,2],[1,1,2,1],[3,1,
4,1,3,-1,4,-1,1,-1,2,1]]],[[[1,1,2,1],[1,3,3,-1,2,1,1,1,3,1]],[[1,1,2,1],[2,1,
1,2],[3,1,4,-1,3,1,4,-1]]],[[[1,2],[2,1,1,1],[4,1,2,1,1,-1,3,-1,2,1,3,1,4,
1]],[[1,2],[1,1,2,1],[4,2,3,2,4,-1,2,1,4,1]],[[1,2],[1,1,2,1],[2,1,4,1,3,-1,4,
-1,2,1,1,-1,2,1,3,1]]],[[[1,2],[1,1,2,1],[4,1,3,1,2,1,4,2,3,1,1,1]],[[1,1,2,
1],[2,1,1,-1,2,1,1,1,3,-1,1,-2,3,-1,2,1]],[[1,2],[1,1,2,1],[4,1,3,-1,1,-1,2,1,
3,1,2,1,4,1]]],[[[1,1,2,1],[3,1,1,-1,2,1,3,2]],[[1,2],[1,1,2,1],[2,1,4,1,3,-1,
4,1,3,1,2,1]]],[[[1,1,2,1],[1,2,2,1,1,1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,
1],[2,1,4,-1,3,2,1,2,4,1]],[[1,2],[1,1,2,1],[2,1,1,-1,2,1,3,-1,4,-1,2,1,4,1,3,
1,4,1]]],[[[1,2],[2,1,1,1],[1,1,2,1,3,-1,4,-1,3,1,4,1]],[[1,2],[1,1,2,1],[4,2,
3,2,4,-1,2,1,4,1]],[[1,2],[1,1,2,1],[2,1,4,1,3,-1,4,-1,2,1,1,-1,2,1,3,1]]],[[[
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1],[2,1,1,1,3,-2,2,1,3,1,1,-2]],[[1,2],[1,1,2,1],[4,1,3,1,2,1,4,2,3,1,1,
1]]],[[[1,2],[3,1,2,1,3,-1,2,1,1,1,3,1]],[[1,2],[2,1,3,1],[3,1,4,1,2,1,1,-1,4,
-1]]],[[[1,1,2,1],[1,2,2,1,1,1],[3,1,4,1,3,1,4,1]],[[1,2],[3,2,2,1,1,1,2,1,1,
-1,2,1,3,-2]],[[1,2],[1,1,2,1],[2,1,4,1,3,-1,4,-1,2,1,1,-1,2,1,3,1]]],[[[1,
2],[3,1,2,1,1,1,3,1,2,1,1,-1,2,1]],[[1,1,2,1],[3,1,1,-3,3,-1,1,-1,2,1]],[[1,
2],[1,1,2,1],[2,1,3,-1,4,-1,2,1,4,1,3,1]]],[[[1,2],[3,1,1,1,2,1,3,1,2,1,3,
1]],[[1,1,2,1],[2,1,1,2],[3,1,4,-1,3,1,4,-1]]],[[[1,2],[1,1,2,1,1,-1,2,1,3,1,
2,1,3,1]],[[1,1,2,1],[3,1,1,-3,3,-1,1,-1,2,1]],[[1,2],[2,1,1,-1,2,1,3,1,2,1,3,
1,1,1,2,1]]],[[[2,1,1,1],[1,1,2,1,3,-2]],[[1,1,2,1],[2,1,1,2],[3,1,4,-1,3,1,4,
-1]]],[[[1,1,2,1,1,-1]],[[2,1,1,-2,2,1,1,2,2,1]],[[1,2],[2,1,1,1,2,1],[3,1,4,
-1,3,1,4,-1]]],[[[1,1,2,1],[3,1,1,-1,2,1,3,1,1,2,2,1]],[[1,2],[3,1,2,1,1,-1,2,
1,3,1,2,1,1,1]]],[[[1,1,2,1,1,2,2,1,1,1]],[[2,1,1,1],[1,1,2,1,1,-2,3,1,2,1,3,
-2]],[[1,1,2,1],[1,2,2,1,1,1],[4,1,3,1,4,1,3,1]]],[[[1,2],[3,2,2,1,3,1,2,1,3,
1]],[[1,2],[1,1,2,1],[2,1,4,1,3,-1,2,1,3,1,4,-1]]],[[[1,1,2,1],[1,2,2,1,1,1],[
3,1,4,1,3,1,4,1]],[[1,2],[2,1,1,1],[2,1,3,1,4,2,2,1,1,-1,3,-1]],[[1,2],[1,1,2,
1],[2,1,1,-1,3,-1,4,-1,2,1,4,1,3,1,4,1]]],[[[1,2],[3,1,1,1,2,1,1,-1,3,-1]],[[
1,2],[1,1,2,1],[4,1,3,1,2,1,3,-1,4,-1]],[[1,2],[1,1,2,1],[3,2,4,-3,2,1]]],[[[
1,-1,2,1,1,1]],[[1,2],[2,1,1,-1,2,1],[4,1,3,1,4,1,3,1]],[[1,2],[2,1,1,-1,3,-1,
2,1,3,1,1,1,2,1]]],[[[1,2],[3,2,2,1,3,-1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,1,
4,-1,1,2,3,-1,4,1]],[[1,2],[2,1,1,1],[4,1,2,1,1,-1,3,-1,2,1,3,1,4,1]]],[[[1,1,
2,1],[2,1,1,-1,2,1,3,2,1,3]],[[1,2],[1,1,2,1],[4,1,3,1,2,1,3,-1,4,-1,2,
1]]],[[[1,1,2,1,1,2,2,1,1,1]],[[1,1,2,1],[2,1,3,1,1,-2,3,1]]],[[[2,1]],[[1,
2],[1,1,2,1],[4,1,3,-1,4,-1,2,1,1,-1,2,1,3,1]],[[1,2],[1,1,2,1],[3,1,2,1,1,1,
4,3,3,1]]],[[[2,1,1,-2,2,1,1,2,2,1]],[[1,2],[2,1,3,1],[3,1,4,1,2,1,1,-1,4,
-1]],[[1,2],[2,1,1,1,2,1],[3,1,4,-1,3,1,4,-1]]],[[[1,2],[3,2,2,1,3,-1,2,1,1,
1]],[[1,2],[2,1,1,1],[4,1,2,1,1,-1,3,-1,2,1,3,1,4,1]],[[1,2],[1,1,2,1],[4,2,3,
2,4,-1,2,1,4,1]]],[[[1,1,2,1],[1,2,3,2,1,1]],[[1,2],[1,1,2,1],[4,1,3,-1,2,1,3,
1,4,-1]]],[[[1,2],[3,1,2,1],[3,1,4,-2,2,1,1,-1]],[[1,1,2,1],[3,1,1,-3,3,-1,1,
-1,2,1]]],[[[1,2],[2,1,3,-1,2,1,1,1,2,1,3,-1]],[[1,2],[1,1,2,1],[4,1,3,1,2,1,
3,-1,4,-1]]],[[[1,2],[3,1,1,1,2,1,1,-1,3,-1]],[[1,1,2,1],[2,1,1,-1,3,-1,2,1,3,
2]],[[1,2],[2,1,1,-1,3,-1,2,1,3,1,1,1,2,1]]],[[[1,2],[2,1,1,-1,3,-1,2,1,1,-1,
2,1,3,1]],[[1,1,2,1],[2,1,3,1,1,2,2,1,1,-1,2,1,3,1]]],[[[2,1,1,1],[3,2,1,
2]],[[1,2],[1,1,2,1],[4,1,1,-1,3,-1,2,1,3,1,4,1]]],[[[1,1,2,1],[3,1,1,3,2,1,3,
1]],[[1,2],[3,1,2,1,1,-1,2,1,3,1,2,1,1,1]]],[[[1,-1,2,1,1,3]],[[1,2],[1,1,2,1,
1,-1,2,1,3,1,2,1,3,1]]],[[[1,2],[3,1,1,1,3,1,2,1,3,1]],[[1,2],[1,1,2,1],[4,1,
3,1,2,1,3,1,4,-1,2,1]]],[[[1,2],[3,1,1,1,2,1,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,
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2],[1,1,2,1],[2,1,4,1,3,-1,2,1,3,1,4,-1]],[[1,2],[2,1,1,1,3,1,1,1,2,1,3,1,2,1,
3,1]]],[[[1,2],[1,1,2,1],[3,1,4,1,3,-1,4,-1,1,-1,2,1]],[[1,2],[1,1,2,1],[3,2,
2,1,3,1,2,1,4,2]]],[[[1,1,2,1],[3,2,1,2,2,1,1,1,3,-1]],[[1,1,2,1],[1,2,2,1,1,
1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,2,1,2,4,1]]],[[[1,2],[
3,1,2,1,3,-1]],[[1,1,2,1],[2,1,3,1,1,-2,3,1]],[[1,2],[3,1,1,1,3,1,2,1,3,
1]]],[[[1,2],[1,1,2,1],[4,1,3,1,2,1,4,2,3,1,1,1]],[[1,2],[1,1,2,1],[2,1,1,-1,
2,1,3,-1,4,1,3,1,4,2]]],[[[1,2],[1,1,2,1],[4,2,3,2,2,1,1,1,4,1]],[[1,2],[1,1,
2,1],[3,1,2,1,3,1,4,1,3,1,4,1,1,-1,2,1]]],[[[2,1,1,1],[1,1,2,1,3,-2]],[[1,2],[
3,1,1,1,2,1,3,1,2,1,3,1]]],[[[1,2],[2,1,3,1,1,1,2,1,3,1,2,1]],[[1,2],[1,1,2,
1],[4,1,3,1,2,1,3,-1,4,-1,2,1]]],[[[1,2],[3,1,2,1,3,-1,2,1,1,2,2,1,3,-1]],[[1,
2],[1,1,2,1],[3,1,2,1,1,1,4,3,3,1]],[[1,2],[1,1,2,1],[2,1,4,1,3,-1,4,-1,2,1,1,
-1,2,1,3,1]]],[[[2,1]],[[1,2],[3,2,2,1,3,1,2,1,3,1]]],[[[1,2],[2,1,1,1],[2,1,
4,-1,3,-1,2,1,3,-1,4,1]],[[1,2],[2,1,1,1],[4,1,2,1,1,-1,3,-1,2,1,3,1,4,
1]]],[[[1,1,2,1],[3,1,1,2,3,-2,2,1]],[[1,1,2,1],[3,1,1,-1,2,1,3,1,1,-3]]],[[[
2,1,1,1],[3,1,2,1,3,-1,1,2]],[[1,1,2,1],[1,3,3,-2,2,1]]],[[[1,2],[3,1,1,1,2,1,
1,-1,2,1,3,-1]],[[1,1,2,1],[1,2,3,-3,2,1]]],[[[2,1,1,-1,2,1,1,1]],[[1,2],[1,1,
2,1],[4,1,3,-1,2,1,3,1,4,-1]]],[[[1,2],[2,1,1,1,2,1],[3,1,4,-1,3,-1,4,-1]],[[
1,2],[2,1,1,1,2,1],[3,1,4,1,3,1,4,1]]],[[[1,1,2,1,1,-1,2,1,1,2,2,1]],[[1,2],[
3,2,2,1,3,-1,2,1,1,1,2,1]]],[[[1,1,2,1],[1,3,3,-2,2,1]],[[1,2],[3,1,2,1,3,2,2,
1,1,1]]],[[[1,2],[2,1,1,-1,2,1,3,-1,2,1,3,1,1,1,2,1]],[[1,2],[1,1,2,1],[3,1,1,
1,4,-1,3,-1,4,-1,2,1]]],[[[1,1,2,1],[2,1,1,-2,2,1,3,2]],[[1,2],[1,1,2,1],[4,2,
3,-1,2,1,3,-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]],[[1,1,2,1],[2,1,1,3,3,-2]],[[1,2],[1,1,2,1],[4,1,3,-1,2,1,3,1,4,
-1]]],[[[1,2],[3,1,1,1,2,1,1,-1,3,-1]],[[1,1,2,1],[2,1,1,-1,2,1,3,2,1,-2,2,
1]]],[[[1,1,2,1],[1,3,3,-1,2,1,1,1,3,1]],[[1,2],[1,1,2,1],[4,1,3,1,2,1,3,-1,4,
-1,2,1]]],[[[2,1,1,-1,2,1,1,3,2,1,1,-1]],[[1,2],[3,2,2,1,3,-1,2,1,1,-1,2,
1]]],[[[1,1,2,1,1,-1]],[[1,1,2,1],[2,1,3,1,1,-2,3,1]],[[1,2],[3,1,1,1,3,1,2,1,
3,1]]],[[[1,1,2,1],[2,1,1,-1,3,-1,2,1,3,2]],[[1,2],[1,1,2,1],[3,1,2,1,3,1,4,
-2,2,1]]],[[[1,2],[3,1,2,1,3,-1,2,1,3,1,2,1,1,-1]],[[1,2],[3,1,2,1,1,1,2,1,1,
-1,2,1,3,-1]]],[[[2,1,1,1],[1,2,2,1,1,-1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,
1,3],[3,1,4,-1,3,1,4,-1]],[[2,1,1,1],[1,1,2,1,1,-2,3,1,2,1,3,-2]]],[[[1,1,2,
1],[3,1,1,3,3,-1,2,1,1,1]],[[1,2],[3,1,2,1,1,-1,2,1,3,1,2,1,1,1]],[[1,1,2,1],[
1,2,2,1,1,1],[4,1,3,1,4,1,3,1]]],[[[1,2],[3,1,1,1,3,1,2,1,3,1]],[[2,1,1,-2,2,
1,1,2,2,1]],[[1,2],[2,1,3,1],[3,1,4,1,2,1,1,-1,4,-1]]],[[[1,1,2,1],[3,1,1,3,3,
-1,2,1,1,1]],[[1,1,2,1],[1,2,2,1,1,1],[3,1,4,1,3,1,4,1]],[[1,1,2,1],[1,2,2,1,
1,1],[4,1,3,1,4,1,3,1]],[[1,2],[1,1,2,1],[2,1,4,1,3,1,4,2,3,1,1,1]]],[[[1,2],[
3,2,2,1,1,1,2,1,1,-1,2,1,3,-2]],[[1,2],[3,1,2,1,3,1,1,1,2,1,3,1,1,1,2,1,1,
1]],[[1,2],[1,1,2,1],[4,2,3,2,4,-1,2,1,4,1]]],[[[1,2],[2,1,1,1,3,1,1,1,2,1,3,
1,2,1,3,1]],[[1,2],[3,1,1,1,2,1,1,1,3,1,2,1,3,1,1,1,2,1]],[[1,2],[1,1,2,1],[4,
1,3,1,4,-1,2,1,4,2,3,-1]]],[[[1,1,2,1],[1,2,2,1,1,1],[3,1,4,1,3,1,4,1]],[[1,1,
2,1],[1,2,2,1,1,1],[4,1,3,1,4,1,3,1]],[[1,2],[3,2,2,1,1,1,2,1,1,-1,2,1,3,
-2]],[[1,2],[1,1,2,1],[4,2,3,2,4,-1,2,1,4,1]]],[[[1,1,2,1],[2,1,3,1,1,-2,3,
1]],[[1,1,2,1],[1,3,3,-1,2,1,1,1,3,1]],[[1,1,2,1],[2,1,1,2],[3,1,4,-1,3,1,4,
-1]]],[[[1,2],[2,1,1,1,3,1,1,1,2,1,3,1,2,1,3,1]],[[2,1,1,1],[2,1,3,-1,1,2,2,1,
1,-1,3,2]],[[1,1,2,1],[2,1,1,1,3,-2,2,1,3,1,1,-2]]],[[[1,2],[3,1,2,1,3,-1]],[[
2,1,1,2,2,1,1,-2,2,1]],[[1,1,2,1],[1,2,2,1,1,1],[3,1,4,1,3,1,4,1]],[[1,2],[3,
2,2,1,3,1,2,1,1,2,2,1]]],[[[1,2],[3,1,2,1,1,1,3,1,2,1,1,-1,2,1]],[[1,2],[1,1,
2,1,1,-1,2,1,3,1,2,1,3,1]],[[1,1,2,1],[3,1,1,-3,3,-1,1,-1,2,1]],[[1,2],[1,1,2,
1],[2,1,3,-1,4,-1,2,1,4,1,3,1]]],[[[1,-1,2,1,1,1]],[[1,2],[1,1,2,1],[3,1,4,-1,
2,1,4,1,3,-1]],[[1,2],[2,1,1,-1,2,1],[4,1,3,1,4,1,3,1]],[[1,2],[2,1,1,-1,3,-1,
2,1,3,1,1,1,2,1]]],[[[1,1,2,1],[2,1,3,1,1,-2,3,1]],[[1,2],[3,1,1,1,2,1,1,-1,3,
-1]],[[1,1,2,1],[2,1,1,2],[3,1,4,-1,3,1,4,-1]]],[[[2,1,1,-2,2,1,1,2,2,1]],[[1,
2],[2,1,3,1],[3,1,4,1,2,1,1,-1,4,-1]],[[1,2],[3,1,2,1,1,1,2,1,1,-1,2,1,3,
-1]]],[[[1,2],[3,1,1,1,3,1,2,1,3,1]],[[1,2],[3,1,2,1,3,-1,2,1,1,1,3,1]],[[1,
2],[2,1,3,1],[3,1,4,1,2,1,1,-1,4,-1]]],[[[1,2],[1,1,2,1],[4,1,3,1,2,1,3,-1,4,
-1,2,1]],[[1,2],[1,1,2,1],[2,1,3,-1,4,-1,2,1,4,1,3,1]],[[1,2],[2,1,1,-1,2,1,3,
1,2,1,3,1,1,1,2,1]]],[[[1,1,2,1],[1,2,2,1,3,2,1,1]],[[1,1,2,1],[1,2,2,1,1,1],[
3,1,4,1,3,1,4,1]],[[1,1,2,1],[1,2,2,1,1,1],[4,1,3,1,4,1,3,1]]],[[[1,2],[3,1,2,
1,1,2,2,1,3,1,2,1,3,1]],[[1,2],[3,2,2,1,1,1,2,1,1,-1,2,1,3,-2]],[[1,2],[1,1,2,
1],[4,2,3,2,4,-1,2,1,4,1]]],[[[1,1,2,1],[2,1,3,1,1,-2,3,1]],[[1,2],[1,1,2,1,3,
1,1,1,2,1,3,-1]]],[[[2,1]],[[1,2],[3,1,2,1,3,-1,2,1,1,2,2,1,3,-1]],[[1,2],[1,
1,2,1],[4,1,3,-1,4,-1,2,1,1,-1,2,1,3,1]],[[1,2],[1,1,2,1],[3,1,2,1,1,1,4,3,3,
1]]],[[[1,1,2,1],[3,1,1,3,2,1,3,1]],[[1,2],[2,1,3,1,2,1,1,-1,2,1,1,1,3,
1]]],[[[1,1,2,1,1,-2,2,1]],[[2,1,1,1],[1,1,2,1,3,-2]]],[[[1,2],[2,1,3,1,1,1,2,
1,3,1,2,1]],[[1,2],[1,1,2,1],[4,1,3,-1,2,1,4,1,3,1]]],[[[2,1,1,2,2,1,1,-2]],[[
1,2],[1,1,2,1],[2,1,4,1,3,-1,2,1,3,1,4,-1]]],[[[1,2],[2,1,1,-1,2,1,3,1,1,1,2,
1,3,1]],[[1,2],[2,1,3,1,2,1,1,-1,2,1,1,1,3,1]]],[[[1,1,2,1,1,2,2,1,1,1]],[[1,
1,2,1],[1,3,3,-1,2,1,3,2]]],[[[1,2],[2,1,1,1],[4,1,2,1,1,-1,3,-1,2,1,3,1,4,
1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,2,1,2,4,1]],[[1,2],[1,1,2,1],[4,1,3,1,2,
1,4,2,3,1,1,1]],[[1,2],[1,1,2,1],[4,1,3,1,1,1,2,1,4,1,3,1,4,1]]],[[[1,2],[3,2,
2,1,3,-1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,1,2,3,-1,4,1]],[[1,2],[2,1,
1,-1,2,1,3,1,2,1,3,1,1,1,2,1]],[[1,2],[2,1,1,1],[4,1,2,1,1,-1,3,-1,2,1,3,1,4,
1]]],[[[1,1,2,1],[3,1,1,1,3,-2]],[[1,2],[1,1,2,1],[3,1,4,-1,2,1,4,1,3,-1]],[[
1,2],[2,1,1,-1,2,1],[4,1,3,1,4,1,3,1]],[[1,2],[2,1,1,-1,3,-1,2,1,3,1,1,1,2,
1]]],[[[2,1,1,1],[2,1,3,-1,1,2,2,1,1,-1,3,2]],[[1,2],[1,1,2,1],[4,1,3,1,2,1,4,
2,3,1,2,1,1,1]],[[1,2],[1,1,2,1],[2,1,1,1,4,1,3,-1,4,1,3,1,2,1,4,1]]],[[[1,1,
2,1],[3,3,1,-1,2,1]],[[1,1,2,1],[1,2,2,1,3,2,1,1]]],[[[1,2],[1,1,2,1],[3,1,4,
-1,2,1,4,1,3,1,4,2]],[[1,2],[1,1,2,1],[4,1,3,1,4,-1,2,1,4,2,3,-1]],[[1,1,2,
1],[2,1,1,-1,2,1,1,1,3,-1,1,-2,3,-1,2,1]]],[[[1,1,2,1],[1,2,2,1,1,1],[3,1,4,1,
3,1,4,1]],[[1,2],[1,1,2,1],[2,1,3,-1,4,-1,2,1,4,1,3,1]],[[1,2],[1,1,2,1],[4,2,
3,2,4,-1,2,1,4,1]]],[[[1,2],[3,1,2,1,1,1,3,1,2,1,1,-1,2,1]],[[1,1,2,1],[3,1,1,
-3,3,-1,1,-1,2,1]],[[1,2],[1,1,2,1],[2,1,3,-1,4,-1,2,1,4,1,3,1]],[[1,2],[2,1,
1,-1,2,1,3,1,2,1,3,1,1,1,2,1]]],[[[1,2],[2,1,3,1],[3,1,4,1,2,1,1,-1,4,-1]],[[
1,2],[3,1,2,1,1,1,2,1,1,-1,2,1,3,-1]],[[1,2],[3,1,2,1,3,-1,2,1,1,1,2,1,3,
1]]],[[[1,2],[1,1,2,1],[4,1,3,1,2,1,3,-1,4,-1,2,1]],[[1,2],[3,1,2,1,3,1,1,1,2,
1,3,1,1,1,2,1,1,1]],[[1,2],[1,1,2,1],[3,2,2,1],[5,1,4,1,5,1,4,1]]],[[[1,1,2,1,
1,2,2,1,1,1]],[[1,1,2,1],[2,1,3,1,1,-2,3,1]],[[1,2],[2,1,1,-1,2,1,1,1,2,1,3,1,
2,1,3,-1]]],[[[1,1,2,1,1,-1]],[[2,1,1,-2,2,1,1,2,2,1]],[[1,2],[2,1,3,1],[3,1,
4,1,2,1,1,-1,4,-1]],[[1,2],[2,1,1,1,2,1],[3,1,4,-1,3,1,4,-1]]],[[[1,1,2,1],[3,
2,1,2,3,1]],[[1,1,2,1],[2,1,3,2,1,3]],[[1,2],[3,1,2,1,1,1,2,1,1,-1,2,1,3,
-1]]],[[[2,1,1,1],[1,1,2,1,3,-2]],[[1,2],[3,1,1,1,2,1,3,1,2,1,3,1]],[[1,1,2,
1],[2,1,1,2],[3,1,4,-1,3,1,4,-1]]],[[[1,2],[1,1,2,1],[4,1,3,-1,2,1,3,1,4,
-1]],[[1,2],[2,1,1,-1,2,1,1,1,2,1,3,1,2,1,3,-1]]],[[[1,1,2,1,1,2,2,1,1,1]],[[
1,1,2,1],[2,1,3,1,1,-2,3,1]],[[1,1,2,1],[3,1,1,-1,2,1,3,1,1,-1]]],[[[1,1,2,
1],[3,2,1,-1,2,1,1,-2]],[[1,2],[1,1,2,1],[4,1,3,-1,2,1,3,1,4,-1]],[[1,2],[1,1,
2,1],[3,1,1,1,4,-1,2,1,4,1,3,-1]]],[[[1,2],[3,2,2,1,3,1,1,1]],[[1,2],[2,1,1,1,
3,1,2,1,1,-1,3,-1,2,1]],[[1,2],[2,1,1,1,2,1],[3,1,4,-1,3,1,4,-1]]],[[[1,1,2,
1],[1,2,3,2,1,1]],[[1,2],[3,2,2,1,3,-1,2,1,1,1,2,1]]],[[[1,2],[2,1,3,1,1,1,2,
1,3,1,2,1]],[[1,2],[3,1,2,1,1,-1,2,1,3,1,2,1,1,1]]],[[[2,1,1,-2,2,1,1,2,2,
1]],[[1,2],[3,1,2,1,3,-1,2,1,1,1,3,1]],[[1,2],[2,1,3,1],[3,1,4,1,2,1,1,-1,4,
-1]]],[[[1,1,2,1,1,-1]],[[1,1,2,1],[2,1,1,-1,3,-1,2,1,3,2]],[[1,2],[3,2,1,1,2,
1,3,1,2,1,1,1]]],[[[1,2],[3,1,1,1,2,1,1,-1,3,-1]],[[1,1,2,1],[2,1,3,-2,2,1,3,
2]]],[[[1,2],[1,1,2,1],[4,1,3,1,2,1,3,-1,4,-1,2,1]],[[1,2],[1,1,2,1],[3,2,2,
1],[5,1,4,1,5,1,4,1]],[[1,2],[1,1,2,1],[3,1,2,1,3,1,4,1,3,1,4,2]]],[[[1,2],[3,
1,2,1,1,1,3,1,2,1,1,-1,2,1]],[[1,2],[1,1,2,1,1,-1,2,1,3,1,2,1,3,1]],[[1,2],[1,
1,2,1],[2,1,3,-1,4,-1,2,1,4,1,3,1]],[[1,2],[2,1,1,-1,2,1,3,1,2,1,3,1,1,1,2,
1]]],[[[1,2],[2,1,3,1,1,1,2,1,3,1,2,1]],[[1,2],[2,1,1,1,2,1,3,-1,2,1,3,
-1]]],[[[1,2,2,1,1,2,2,1]],[[1,1,2,1],[2,1,1,1,3,-1,2,1,3,1,1,2]]],[[[1,2],[3,
1,2,1,3,-1,2,1,1,1,3,1]],[[1,2],[2,1,3,1],[3,1,4,1,2,1,1,-1,4,-1]],[[1,2],[3,
1,2,1,1,1,2,1,1,-1,2,1,3,-1]]],[[[1,3,2,1,1,-1,2,1,1,-1]],[[1,2],[1,1,2,1],[4,
1,3,-1,2,1,3,1,4,-1]]],[[[1,-1,2,1,1,3]],[[1,2],[1,1,2,1,1,-1,2,1,3,1,2,1,3,
1]],[[1,2],[2,1,1,-1,2,1,3,1,2,1,3,1,1,1,2,1]]],[[[1,2],[2,1,1,-1,3,-1,2,1,1,
-1,2,1,3,1]],[[1,1,2,1],[1,3,3,-1,2,1,1,1,3,1]],[[1,1,2,1],[2,1,3,1,1,2,2,1,1,
-1,2,1,3,1]]],[[[1,2],[3,2,2,1,3,1,2,1,1,1]],[[1,2],[2,1,1,-1,2,1],[4,1,3,1,4,
1,3,1]],[[1,2],[2,1,1,-1,3,-1,2,1,3,1,1,1,2,1]]],[[[1,1,2,1],[1,2,3,2,1,1]],[[
1,2],[1,1,2,1],[4,1,3,1,2,1,3,-1,4,-1,2,1]]],[[[2,1,1,-2,2,1,1,1]],[[1,2],[2,
1,1,-1,2,1,1,1,2,1,3,1,2,1,3,-1]]],[[[1,2],[2,1,1,1,3,1,1,1,2,1,3,1,2,1,3,
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2,2,1]],[[1,2],[2,1,3,1],[3,1,4,1,2,1,1,-1,4,-1]]],[[[1,1,2,1],[2,1,3,1,1,-2,
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1]],[[1,1,2,1],[3,2,1,-1,2,1,1,-2]]],[[[1,1,2,1],[3,1,1,-1,2,1,1,-1,2,1,3,
1]],[[1,2],[2,1,1,1,2,1,3,2,2,1,3,1]]],[[[1,1,2,1],[3,1,1,2,2,1,3,1]],[[2,1,1,
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1,1]],[[1,2],[3,1,2,1,3,-1,2,1,3,1,2,1,1,-1]]],[[[2,1,1,1],[3,1,2,1,3,-1,1,
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1,3,1,2,1,3,-1,4,-1,2,1]]],[[[2,1,1,2,2,1,1,-2,2,1]],[[1,2],[3,1,2,1,1,-1,2,1,
3,1,1,1]]],[[[2,1,1,-1,2,1,1,1,2,1,1,3]],[[1,2],[2,1,3,-1,2,1,3,1,1,1,2,
1]]],[[[1,1,2,1],[2,1,1,3],[3,1,4,-1,3,1,4,-1]],[[2,1,1,1],[1,2,2,1,1,-1],[4,
1,3,1,4,1,3,1]],[[1,1,2,1],[1,2,3,-1,2,1,3,2,1,-1,2,1]]],[[[2,1]],[[1,2],[1,1,
2,1],[4,1,3,1,2,1,3,-1,4,-1]],[[1,2],[3,2,2,1,3,-1,2,1,1,1,2,1]],[[1,2],[1,1,
2,1],[2,1,3,-1,4,-1,2,1,4,1,3,1]]],[[[1,-1,2,1,1,1]],[[1,1,2,1],[3,1,1,1,3,
-2]],[[1,2],[1,1,2,1],[3,1,4,-1,2,1,4,1,3,-1]],[[1,2],[2,1,1,-1,2,1],[4,1,3,1,
4,1,3,1]],[[1,2],[2,1,1,-1,3,-1,2,1,3,1,1,1,2,1]]],[[[1,2],[3,1,2,1,1,1,3,1,2,
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1,-1,2,1]],[[1,2],[1,1,2,1],[2,1,3,-1,4,-1,2,1,4,1,3,1]],[[1,2],[2,1,1,-1,2,1,
3,1,2,1,3,1,1,1,2,1]]],[[[1,1,2,1],[1,2,2,1,3,2,1,1]],[[1,1,2,1],[2,1,1,-1,3,
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3]]],[[[1,1,2,1],[3,2,1,2,2,1,1,1,3,-1]],[[1,2],[1,1,2,1],[4,1,3,1,2,1,3,-1,4,
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1,2,1],[2,1,1,1,3,1,1,-2,3,-1,2,1]]],[[[1,1,2,1],[3,2,1,3]],[[1,1,2,1],[2,1,3,
2,1,2,3,1]],[[1,2],[1,1,2,1,3,-1,2,1,1,-1,3,-1]]],[[[2,1,1,2,2,1,1,-2]],[[1,
2],[2,1,1,-1,2,1,3,2,2,1,3,1]]],[[[1,2,2,1,1,-1,2,1,1,1]],[[1,1,2,1],[3,1,1,1,
2,1,1,-1,2,1,3,1]],[[1,2],[1,1,2,1,3,1,2,1,1,-1,2,1,3,1]]],[[[2,1,1,-1,2,1,1,
1,2,1]],[[1,2],[3,1,2,1,3,-1]],[[1,2],[1,1,2,1],[4,1,3,-1,2,1,3,1,4,-1]]],[[[
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1],[3,1,4,1,2,1,1,-1,4,-1]],[[1,2],[3,1,2,1,1,1,2,1,1,-1,2,1,3,-1]]],[[[1,2],[
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3,1,2,1,3,-1,4,-1]]],[[[1,1,2,1],[3,3,1,2]],[[1,1,2,1],[2,1,3,2,1,2,3,1]]],[[[
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1,1]],[[1,1,2,1],[2,1,3,1,1,-2,3,1]],[[1,2],[3,1,1,1,3,1,2,1,3,1]]],[[[2,1,1,
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2,1,1,1]],[[1,1,2,1],[2,1,3,1,1,-2,3,1]],[[1,1,2,1],[3,1,1,-1,2,1,3,1,1,
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2,1,3,-1]],[[1,1,2,1],[1,2,3,2,1,1]],[[1,2],[1,1,2,1],[4,1,3,-1,2,1,3,1,4,
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2],[2,1,1,1,2,1,3,-1,2,1,3,-1]],[[1,2],[1,1,2,1],[4,1,3,-1,2,1,4,1,3,1]]],[[[
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1,3,-1,4,-1]],[[1,2],[2,1,1,1,3,1,2,1,1,-1,3,-1,2,1]]],[[[2,1]],[[1,2],[2,1,1,
1],[1,1,2,1,3,-1,4,-1,3,1,4,1]],[[1,2],[3,1,2,1,3,-1,2,1,1,2,2,1,3,-1]],[[1,
2],[1,1,2,1],[2,1,3,-1,4,-1,2,1,4,1,3,1]]],[[[2,1]],[[1,2],[2,1,1,-1,2,1,3,2,
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1,1,2,1,3,1]],[[1,2],[1,1,2,1],[2,1,4,1,3,-1,4,-1,3,-1,2,1]]],[[[1,2],[3,1,1,
1,2,1,3,1,2,1,3,1]],[[1,2],[1,1,2,1,3,1,1,1,2,1,3,-1]]],[[[2,1,1,-2,2,1,1,2,2,
1]],[[1,2],[3,1,2,1,3,-1,2,1,1,1,3,1]],[[1,2],[2,1,3,1],[3,1,4,1,2,1,1,-1,4,
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2,1]]],[[[1,2],[1,1,2,1,1,-1,3,-1,2,1,3,-1]],[[1,2],[1,1,2,1],[4,1,3,1,2,1,3,
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1],[2,1,3,1,4,2,1,-1,3,-1]]],[[[1,-1,2,1,1,3]],[[2,1,1,-1,2,1,1,3,2,1]],[[1,
2],[1,1,2,1,1,-1,2,1,3,1,2,1,3,1]]],[[[1,2],[3,1,1,1,3,1,2,1,3,1]],[[2,1,1,-2,
2,1,1,2,2,1]],[[1,2],[3,1,2,1,3,-1,2,1,1,1,3,1]],[[1,2],[2,1,3,1],[3,1,4,1,2,
1,1,-1,4,-1]]],[[[1,1,2,1],[3,3,1,2,2,1]],[[1,2],[1,1,2,1,3,-1,2,1,1,-1,3,
-1]],[[1,2],[3,1,2,1,3,-1,2,1,1,1,2,1,3,1]]],[[[2,1,1,-3,2,1,1,1]],[[1,1,2,
1],[2,1,3,1,1,-2,3,1]]],[[[1,2],[1,1,2,1,3,1,2,1,1,-1,2,1,3,1]],[[1,1,2,1],[1,
3,3,-1,2,1,1,1,3,1]],[[1,1,2,1],[2,1,1,1,3,2,1,2,2,1]]],[[[1,1,2,1],[3,2,1,2,
3,1]],[[1,1,2,1],[2,1,3,3,1,2]]],[[[1,1,2,1],[2,1,3,1,1,-2,3,1]],[[1,2],[3,1,
2,1,1,-1,2,1,1,-1,2,1,3,1]],[[1,2],[2,1,1,-1,2,1,1,1,2,1,3,1,2,1,3,-1]]],[[[1,
1,2,1],[1,2,3,2,1,1]],[[1,2],[3,2,2,1,3,-1,2,1,1,1,2,1]],[[1,2],[1,1,2,1],[4,
1,3,1,2,1,3,-1,4,-1,2,1]]],[[[2,1,1,-1,2,1,1,3]],[[1,2],[1,1,2,1],[4,1,3,1,2,
1,3,-1,4,-1,2,1]]],[[[2,1,1,-2,2,1,1,1]],[[1,2],[3,2,2,1,1,-2,2,1,3,-1]],[[1,
2],[2,1,1,-1,2,1,1,1,2,1,3,1,2,1,3,-1]]],[[[1,1,2,1],[3,3,1,2,2,1]],[[1,2],[3,
1,2,1,3,-1,2,1,1,1,3,1]],[[1,2],[1,1,2,1,3,-1,2,1,1,-1,3,-1]]],[[[1,-1,2,1,1,
3]],[[1,2],[3,1,2,1,1,1,3,1,2,1,1,-1,2,1]],[[1,2],[1,1,2,1,1,-1,2,1,3,1,2,1,3,
1]],[[1,2],[2,1,1,-1,2,1,3,1,2,1,3,1,1,1,2,1]]],[[[1,-1,2,1,1,3]],[[1,2],[3,1,
2,1],[3,1,4,-2,2,1,1,-1]],[[1,2],[1,1,2,1,1,-1,2,1,3,1,2,1,3,1]]],[[[1,2],[3,
1,2,1,3,-1]],[[2,1,1,-1,2,1,1,-1,2,1,1,1]],[[1,2],[1,1,2,1],[3,1,1,1,4,-1,3,
-1,4,-1,2,1]]],[[[1,2],[2,1,3,1,1,1,2,1,3,1,2,1]],[[1,2],[2,1,1,1,2,1,3,-1,2,
1,3,-1]],[[1,2],[3,1,2,1,1,-1,2,1,3,1,2,1,1,1]]],[[[1,1,2,1,1,-1]],[[2,1,1,2,
2,1,1,-2,2,1]],[[1,2],[2,1,3,1],[3,1,4,1,2,1,1,-1,4,-1]],[[1,2],[2,1,1,1,2,
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54,61,87,170],[1,2,3,9,14,17,18,39,47,48,171],[1,2,6,10,18,19,27,50,56,58,59,
62,172],[1,2,3,6,8,9,10,18,19,40,58,63,64,69,173],[1,2,3,4,9,10,16,21,25,26,
46,52,60,174],[1,2,3,5,9,10,15,20,22,23,46,54,61,175],[1,2,3,4,9,16,18,21,22,
25,48,52,61,176],[1,2,3,9,10,41,77,177],[1,2,3,9,10,41,77,178],[1,2,3,6,9,10,
18,19,41,58,59,63,69,179],[1,2,3,5,6,9,15,19,20,22,23,24,49,54,61,96,180],[1,
2,6,10,18,19,43,44,59,63,80,181],[1,2,3,4,5,9,10,15,16,20,21,23,25,46,52,54,
76,182],[1,2,3,9,10,12,13,18,45,46,48,183],[1,2,3,6,9,18,19,24,27,49,50,56,62,
69,80,184],[1,2,3,9,10,18,55,63,77,185],[1,2,3,9,12,13,45,91,186],[1,3,11,12,
17,53,91,187],[1,2,5,6,15,18,19,62,75,84,188],[1,3,4,11,12,17,25,26,53,68,73,
79,95,189],[1,2,3,6,9,10,19,55,58,77,190],[1,3,5,11,12,17,20,22,53,70,78,81,
87,191],[1,2,4,16,18,43,83,84,192],[1,2,4,6,16,18,19,56,83,84,193],[1,2,4,5,6,
10,15,16,18,19,28,29,59,75,76,83,88,194],[1,2,6,10,19,42,58,77,195],[1,2,5,15,
18,44,75,84,196],[1,2,4,5,6,8,15,16,18,19,28,29,51,64,75,83,88,197],[1,2,4,6,
16,18,19,62,74,83,198],[1,2,4,16,18,44,74,83,199],[1,2,10,18,42,63,77,200],[1,
3,5,11,13,17,20,22,57,78,81,85,87,201],[1,3,4,11,13,17,25,26,57,68,79,86,95,
202],[1,2,6,10,18,19,56,58,59,62,63,80,203],[1,3,11,12,17,53,91,204],[1,2,6,8,
18,19,64,74,84,205],[1,2,5,15,18,43,74,75,206],[1,2,6,10,18,19,59,74,84,207],[
1,2,5,6,15,18,19,56,74,75,208],[1,3,4,5,6,13,14,21,23,24,25,26,28,29,65,67,72,
86,92,93,94,209],[1,3,4,5,6,12,14,21,23,24,25,26,28,29,65,71,73,82,92,93,94,
210],[1,3,4,5,6,12,14,20,21,22,23,24,28,29,66,70,71,82,89,90,96,211],[1,3,4,5,
6,13,14,20,21,22,23,24,28,29,66,67,72,85,89,90,96,212],[1,2,6,19,30,97,98,
213],[1,2,18,30,97,214],[1,2,8,30,97,215],[1,3,6,7,12,14,24,31,82,99,216],[1,
2,3,7,9,14,33,39,99,217],[1,3,6,7,13,14,24,32,72,99,218],[1,2,3,7,9,11,33,38,
100,219],[1,3,4,7,14,21,25,35,65,99,220],[1,3,4,7,14,21,22,36,90,99,221],[1,3,
5,7,14,23,26,37,94,99,222],[1,3,5,7,14,20,23,34,66,99,223],[1,2,7,18,33,43,
224],[1,2,7,10,33,42,225],[1,2,7,18,33,44,226],[1,3,4,7,11,25,26,36,95,100,
227],[1,2,6,7,19,27,33,50,106,228],[1,2,4,5,7,8,15,16,33,34,35,51,101,102,105,
229],[1,3,5,7,11,20,22,37,87,100,230],[1,2,4,5,6,7,15,16,19,28,29,31,32,33,35,
37,88,103,104,105,109,112,231],[1,2,4,5,7,8,15,16,33,36,37,51,101,104,108,
232],[1,2,5,7,15,18,33,34,37,75,102,104,107,233],[1,2,6,7,8,18,19,31,32,33,64,
101,103,107,234],[1,2,4,5,6,7,15,16,19,28,29,31,32,33,34,36,88,102,103,108,
110,111,235],[1,2,4,7,16,18,33,35,36,83,105,107,108,236],[1,2,3,9,10,41,42,46,
55,118,146,237],[1,2,3,4,5,8,9,10,14,15,16,20,21,23,25,39,40,46,51,52,54,65,
66,76,114,115,116,157,182,238],[1,2,3,9,10,11,14,38,39,41,42,46,55,117,130,
146,239],[1,2,3,9,10,12,13,18,41,42,45,46,48,63,118,120,121,183,240],[1,2,3,8,
9,10,11,14,38,39,40,41,42,46,55,113,116,117,118,125,130,146,241],[1,2,3,6,9,
10,12,13,14,19,24,39,41,45,49,55,58,72,82,117,121,122,145,242],[1,2,3,9,10,14,
17,18,39,41,47,48,55,63,117,119,120,171,243],[1,2,3,8,9,10,11,12,13,17,38,40,
41,45,47,53,57,113,119,121,136,138,244],[1,2,3,6,9,10,17,19,24,41,42,46,47,49,
58,118,119,122,169,245],[1,2,3,6,8,9,10,11,18,19,24,38,40,41,48,49,58,59,63,
64,69,113,120,122,135,139,173,179,246],[1,2,3,6,9,11,18,19,24,27,38,43,44,48,
49,50,56,62,69,80,139,165,166,184,247],[1,2,3,9,11,12,13,17,38,45,47,53,57,
126,136,168,248],[1,2,3,9,10,14,39,41,55,77,117,178,249],[1,2,3,9,10,18,41,48,
63,84,120,155,250],[1,2,3,5,9,10,15,18,20,23,26,41,48,54,60,63,75,120,131,137,
148,164,251],[1,2,3,4,6,9,11,16,18,19,21,24,25,26,38,48,49,52,60,69,83,93,95,
129,131,139,144,150,252],[1,2,3,8,9,10,12,13,17,22,26,40,45,47,60,61,78,79,
138,140,141,162,163,253],[1,2,3,5,9,10,14,15,20,23,26,39,41,54,55,60,66,94,
114,117,134,152,164,254],[1,2,3,9,10,18,41,48,63,74,120,167,255],[1,2,3,6,9,
10,18,19,24,27,41,49,50,56,58,59,62,63,69,80,122,172,179,184,203,256],[1,2,3,
5,6,9,11,15,18,19,20,22,23,24,38,48,49,54,61,69,75,87,96,132,137,139,170,180,
257],[1,2,3,5,9,10,11,14,15,20,22,23,38,39,46,54,55,61,66,87,114,130,133,170,
175,258],[1,2,3,9,10,14,26,39,41,55,60,117,134,259],[1,2,3,4,9,10,16,17,21,22,
25,41,47,52,61,68,78,119,127,140,153,156,260],[1,2,3,4,9,10,11,14,16,21,25,26,
38,39,46,52,55,60,65,95,115,130,134,150,174,261],[1,2,3,4,9,10,14,16,21,22,25,
39,41,52,55,61,65,90,115,117,133,153,159,262],[1,2,3,4,9,11,12,13,16,17,21,25,
26,38,45,47,52,53,57,60,68,73,79,86,95,127,136,141,149,150,189,202,263],[1,2,
3,9,10,14,22,39,41,55,61,117,133,264],[1,2,3,4,9,10,16,18,21,22,25,41,48,52,
61,63,83,120,129,132,153,176,265],[1,2,3,6,8,9,10,18,19,22,24,26,40,48,49,59,
60,61,64,131,132,135,147,163,266],[1,2,3,9,10,41,42,46,77,118,178,267],[1,2,3,
9,10,18,41,48,63,77,120,177,268],[1,2,3,6,9,10,18,19,41,43,44,48,56,58,59,62,
63,69,80,120,165,166,179,181,203,269],[1,2,3,8,9,10,11,38,40,41,77,113,161,
177,178,270],[1,2,3,8,9,10,14,22,26,39,40,46,60,61,116,133,134,154,163,271],[
1,2,3,6,9,10,19,24,41,49,58,77,122,177,272],[1,2,3,4,5,6,8,9,10,15,16,18,19,
20,21,23,24,25,28,29,40,48,49,51,52,54,59,64,75,76,83,88,89,92,129,135,137,
151,157,194,197,273],[1,2,3,4,5,8,9,10,12,13,15,16,17,20,21,23,25,40,45,47,51,
52,54,67,68,71,76,81,127,128,138,143,157,274],[1,2,3,5,9,10,15,17,20,23,26,41,
47,54,60,79,81,119,128,141,160,164,275],[1,2,3,5,9,11,12,13,15,17,20,22,23,38,
45,47,53,54,57,61,70,78,81,85,87,128,136,140,158,170,191,201,276],[1,2,3,9,11,
12,13,17,38,45,47,53,57,91,136,186,187,204,277],[1,2,3,4,9,14,16,17,18,21,22,
25,39,47,48,52,61,65,68,83,90,115,127,129,156,159,171,176,278],[1,2,3,4,5,6,9,
12,13,14,15,16,19,20,21,23,24,25,26,28,29,39,45,49,52,54,60,65,67,71,72,73,82,
86,88,89,92,93,94,115,143,144,145,149,151,152,209,210,279],[1,2,3,4,5,8,9,10,
11,15,16,20,21,22,23,25,26,38,40,41,51,52,54,60,61,76,87,95,113,150,153,157,
163,164,170,280],[1,2,3,4,5,6,8,9,10,15,16,18,19,20,21,22,23,24,25,26,40,48,
49,51,52,54,59,60,61,64,76,93,96,135,144,148,157,163,176,180,281],[1,2,3,5,6,
9,12,13,14,15,19,20,22,23,24,26,39,45,49,54,60,61,70,72,82,85,94,96,133,145,
147,152,158,162,180,282],[1,2,3,6,9,18,19,26,43,48,56,60,69,74,80,131,165,167,
283],[1,2,3,4,5,9,11,12,13,15,16,17,20,21,22,23,25,26,38,45,47,52,53,54,57,60,
61,67,71,87,95,136,143,150,156,160,162,170,284],[1,2,3,5,9,14,15,17,18,20,23,
26,39,47,48,54,60,66,75,81,94,114,128,137,148,152,160,171,285],[1,2,3,6,9,18,
19,26,44,48,60,62,69,80,84,131,155,166,286],[1,2,3,6,9,10,11,12,13,14,17,18,
19,24,38,39,45,46,47,48,49,53,55,57,69,72,82,130,136,139,145,169,171,183,
287],[1,2,3,4,5,9,10,11,14,15,16,20,21,22,23,25,26,38,39,46,52,54,55,60,61,76,
87,90,94,95,130,150,152,154,159,170,182,288],[1,2,3,4,5,9,10,12,13,15,16,18,
20,21,22,23,25,45,46,48,52,54,61,67,70,71,75,76,85,137,143,158,175,176,182,
183,289],[1,2,3,6,9,10,19,24,41,42,46,49,55,58,77,122,146,178,190,195,290],[1,
2,3,5,9,14,15,17,18,20,23,26,39,47,48,54,60,79,94,131,134,141,148,152,160,171,
291],[1,2,3,5,9,10,12,13,15,18,20,22,23,26,45,46,48,54,60,61,70,85,132,148,
154,158,162,175,183,292],[1,2,3,4,9,14,16,17,18,21,22,25,39,47,48,52,61,78,90,
132,133,140,156,159,171,176,293],[1,2,3,4,5,8,9,10,14,15,16,20,21,22,23,25,26,
39,40,46,51,52,54,60,61,76,90,94,116,152,157,159,163,174,175,294],[1,2,3,4,9,
10,12,13,16,18,21,22,25,26,45,46,48,52,60,61,73,86,131,149,154,162,174,176,
183,295],[1,2,3,4,5,9,10,12,13,15,16,20,21,22,23,25,26,41,45,52,54,60,61,67,
70,71,73,85,86,121,143,149,153,158,162,164,296],[1,2,3,9,10,12,13,41,45,91,
121,186,297],[1,2,3,4,5,9,10,12,13,15,16,18,20,21,23,25,26,45,46,48,52,54,60,
67,71,73,76,83,86,129,143,148,149,174,182,183,298],[1,2,3,8,9,10,12,13,17,40,
45,47,91,138,186,299],[1,2,3,8,9,10,12,13,17,40,45,47,77,138,161,300],[1,2,3,
9,10,17,41,42,46,47,55,77,119,146,178,301],[1,2,3,4,5,6,9,11,15,16,18,19,20,
21,22,23,24,25,26,28,29,38,48,49,52,54,60,61,69,87,88,89,92,95,139,147,148,
150,151,170,176,302],[1,2,3,6,9,10,17,18,19,41,47,58,59,63,69,77,119,177,179,
303],[1,2,3,9,10,18,41,42,46,48,55,63,77,120,146,178,185,200,304],[1,2,3,5,6,
9,15,18,19,20,23,44,48,54,62,69,75,80,84,137,155,166,188,196,305],[1,2,3,4,5,
8,9,10,12,13,15,16,17,20,21,22,23,25,26,40,45,47,51,52,54,60,61,70,73,76,85,
86,138,149,156,157,158,160,163,306],[1,2,3,5,6,9,15,18,19,20,23,43,48,54,56,
69,74,75,80,137,165,167,206,208,307],[1,2,3,4,5,9,10,15,16,20,21,22,23,25,26,
41,42,46,52,54,60,61,76,118,153,154,164,174,175,182,308],[1,2,3,4,6,9,10,16,
17,19,21,22,24,25,26,46,47,49,52,60,61,79,93,141,144,147,154,156,169,174,
309],[1,2,3,4,6,9,16,18,19,21,25,44,48,52,62,69,74,80,83,129,166,167,198,199,
310],[1,2,3,4,6,9,12,13,14,16,19,21,22,24,25,26,39,45,49,52,60,61,72,73,82,86,
90,93,134,144,145,147,149,159,162,311],[1,2,3,4,5,6,9,10,15,16,19,20,21,22,23,
24,25,26,28,29,41,49,52,54,58,60,61,88,89,92,93,96,122,144,147,151,153,164,
180,312],[1,2,3,4,5,6,9,10,15,16,17,19,20,21,22,23,24,25,28,29,46,47,49,52,54,
61,76,81,88,89,92,96,128,151,156,169,175,180,182,313],[1,2,3,6,8,9,10,12,13,
14,17,18,19,24,39,40,45,46,47,48,49,59,64,72,82,116,135,138,145,169,171,183,
314],[1,2,3,4,6,9,16,18,19,21,25,43,48,52,56,69,80,83,84,129,155,165,192,193,
315],[1,2,3,5,6,9,10,15,17,19,20,22,23,24,26,46,47,49,54,60,61,78,96,140,147,
154,160,169,175,180,316],[1,2,3,6,8,9,10,18,19,24,27,40,43,44,48,49,50,56,58,
59,62,63,64,69,80,123,124,135,142,165,166,172,173,181,184,203,317],[1,2,3,6,9,
18,19,22,43,48,56,61,69,80,84,132,155,165,318],[1,2,3,6,9,10,14,18,19,39,41,
55,58,59,63,69,77,117,177,179,185,190,319],[1,2,3,6,9,10,12,13,18,19,41,45,58,
59,63,69,77,121,177,179,320],[1,2,3,4,5,6,9,10,15,16,17,19,20,21,23,24,25,26,
28,29,46,47,49,52,54,60,68,76,88,89,92,93,127,144,151,160,169,174,182,321],[1,
2,3,6,9,18,19,22,44,48,61,62,69,74,80,132,166,167,322],[1,2,3,9,10,12,13,41,
42,45,46,55,77,121,146,178,323],[1,2,3,9,10,11,14,22,26,38,39,46,55,60,61,130,
133,134,324],[1,2,3,4,5,6,9,12,13,14,15,16,19,20,21,22,23,24,25,28,29,39,45,
49,52,54,61,66,67,70,71,72,82,85,88,89,90,92,96,114,143,145,151,158,159,180,
211,212,325],[1,2,3,6,8,9,10,18,19,24,40,48,49,59,64,74,84,135,155,167,205,
207,326],[1,2,3,6,9,11,18,19,24,38,48,49,69,74,84,139,155,167,327],[1,2,3,6,9,
10,18,19,41,42,46,58,59,63,69,77,118,177,179,195,200,328],[1,2,4,5,6,10,15,16,
18,19,27,28,29,50,56,58,59,62,74,75,76,83,84,88,172,188,193,194,198,207,208,
329],[1,2,4,5,6,8,15,16,18,19,28,29,43,51,62,64,74,75,83,84,88,124,188,192,
197,198,205,206,330],[1,2,4,5,6,8,15,16,18,19,28,29,44,51,56,64,74,75,83,84,
88,123,193,196,197,199,205,208,331],[1,3,5,11,12,13,17,20,22,53,57,70,78,81,
87,91,168,191,204,332],[1,3,4,11,12,13,17,25,26,53,57,68,73,79,91,95,168,187,
189,333],[1,2,4,5,6,10,15,16,18,19,28,29,43,44,59,63,74,75,76,80,83,84,88,181,
192,194,196,199,206,207,334],[1,3,5,11,12,17,20,22,53,70,78,81,87,91,126,191,
204,335],[1,3,4,11,12,17,25,26,53,68,73,79,91,95,126,187,189,336],[1,2,3,6,8,
9,10,18,19,40,42,55,58,63,64,69,77,125,161,173,185,190,195,200,337],[1,2,18,
30,74,97,214,338],[1,2,18,30,84,97,214,339],[1,2,6,8,18,19,30,64,97,98,213,
214,215,340],[1,3,7,11,12,17,53,100,126,341],[1,2,3,7,9,14,17,18,33,39,47,48,
99,107,171,217,342],[1,2,3,6,7,9,12,13,14,19,24,31,32,33,39,45,49,72,82,99,
103,145,216,217,218,343],[1,2,3,4,7,9,14,16,21,22,25,33,36,39,52,61,90,99,108,
159,217,221,344],[1,2,3,7,8,9,10,14,33,39,40,46,99,101,116,217,345],[1,2,3,5,
7,9,14,15,20,23,33,34,39,54,66,99,102,114,217,223,346],[1,2,3,4,7,9,14,16,21,
25,33,35,39,52,65,99,105,115,217,220,347],[1,2,3,5,7,9,14,15,20,23,26,33,37,
39,54,60,94,99,104,152,217,222,348],[1,2,3,7,8,9,10,11,33,38,40,41,100,101,
113,219,349],[1,2,3,7,8,9,10,33,40,42,55,101,125,225,350],[1,3,4,5,6,7,13,14,
21,23,24,25,26,28,29,32,35,37,65,67,72,86,92,93,94,99,109,209,218,220,222,
351],[1,3,4,5,6,7,12,14,21,23,24,25,26,28,29,31,35,37,65,71,73,82,92,93,94,99,
112,210,216,220,222,352],[1,2,3,5,7,9,11,15,20,22,23,33,37,38,54,61,87,100,
104,170,219,230,353],[1,2,6,7,8,18,19,33,44,56,64,101,123,226,354],[1,2,3,4,7,
9,11,16,21,25,26,33,36,38,52,60,95,100,108,150,219,227,355],[1,2,5,7,15,18,33,
37,43,74,75,104,206,224,356],[1,3,4,5,6,7,12,14,20,21,22,23,24,28,29,31,34,36,
66,70,71,82,89,90,96,99,110,211,216,221,223,357],[1,3,4,5,6,7,13,14,20,21,22,
23,24,28,29,32,34,36,66,67,72,85,89,90,96,99,111,212,218,221,223,358],[1,2,6,
7,8,18,19,33,43,62,64,101,124,224,359],[1,2,7,10,18,33,42,63,77,107,200,225,
360],[1,2,4,7,16,18,33,36,44,74,83,108,199,226,361],[1,2,5,7,15,18,33,37,44,
75,84,104,196,226,362],[1,2,4,7,16,18,33,36,43,83,84,108,192,224,363],[1,2,6,
7,10,19,31,32,33,42,58,77,103,195,225,364],[1,2,4,5,6,7,8,15,16,18,19,28,29,
31,32,33,34,35,36,37,51,64,75,83,88,101,102,103,104,105,107,108,109,110,111,
112,197,229,231,232,233,234,235,236,365],[1,2,6,7,8,18,19,27,33,50,64,80,101,
106,142,228,366],[1,6,7,27,30,32,98,106,367],[1,2,3,8,9,10,11,14,38,39,40,41,
42,46,55,113,116,117,118,125,130,146,237,239,241,368],[1,2,3,8,9,10,11,12,13,
17,38,40,41,45,47,53,57,113,119,121,126,136,138,168,244,248,369],[1,2,3,6,8,9,
10,11,18,19,24,27,38,40,41,43,44,48,49,50,56,58,59,62,63,64,69,80,113,120,122,
123,124,135,139,142,165,166,172,173,179,181,184,203,246,247,256,269,317,370],[
1,2,3,5,9,10,11,14,15,20,23,26,38,39,41,42,46,54,55,60,66,94,114,117,130,134,
146,152,164,239,254,259,371],[1,2,3,8,9,10,11,38,40,41,77,113,161,177,178,270,
372],[1,2,3,4,9,10,11,14,16,21,22,25,38,39,41,42,46,52,55,61,65,90,115,117,
130,133,146,153,159,239,262,264,373],[1,2,3,4,9,10,14,16,17,18,21,22,25,39,41,
47,48,52,55,61,63,65,68,78,83,90,115,117,119,120,127,129,132,133,140,153,156,
159,171,176,243,260,262,265,278,293,374],[1,2,3,8,9,10,11,12,13,17,38,40,41,
45,47,53,57,77,113,119,121,136,138,161,177,178,244,270,300,375],[1,2,3,8,9,10,
11,14,38,39,40,41,42,46,55,77,113,116,117,118,125,130,146,161,177,178,241,249,
267,270,376],[1,2,3,5,9,10,14,15,17,18,20,23,26,39,41,47,48,54,55,60,63,66,75,
79,81,94,114,117,119,120,128,131,134,137,141,148,152,160,164,171,243,251,254,
275,285,291,377],[1,2,3,6,9,10,12,13,14,19,22,24,39,41,45,49,55,58,61,72,82,
117,121,122,133,145,242,264,378],[1,2,3,6,8,9,10,11,12,13,14,17,18,19,24,38,
39,40,41,42,45,46,47,48,49,53,55,57,58,59,63,64,69,72,82,113,116,117,118,119,
120,121,122,125,130,135,136,138,139,145,146,169,171,173,179,183,240,241,242,
243,244,245,246,287,314,379],[1,2,3,6,9,10,12,13,14,19,24,26,39,41,45,49,55,
58,60,72,82,117,121,122,134,145,242,259,380],[1,2,3,6,8,9,10,11,18,19,24,38,
40,41,48,49,58,59,63,64,69,77,113,120,122,135,139,161,173,177,178,179,246,268,
270,272,381],[1,2,3,9,10,12,13,18,41,42,45,46,48,63,74,118,120,121,167,183,
240,255,382],[1,2,3,9,10,12,13,18,41,42,45,46,48,63,84,118,120,121,155,183,
240,250,383],[1,2,3,9,10,14,17,18,22,26,39,41,47,48,55,60,61,63,117,119,120,
133,134,171,243,259,264,384],[1,2,3,4,5,6,9,10,12,13,14,15,16,19,20,21,22,23,
24,25,26,28,29,39,41,45,49,52,54,55,58,60,61,65,66,67,70,71,72,73,82,85,86,88,
89,90,92,93,94,96,114,115,117,121,122,133,134,143,144,145,147,149,151,152,153,
158,159,162,164,180,209,210,211,212,242,254,262,279,282,296,311,312,325,385],[
1,2,3,5,9,10,11,14,15,20,22,23,26,38,39,41,42,46,54,55,60,61,66,87,94,114,117,
130,133,134,146,152,164,170,175,239,254,258,264,324,386],[1,2,3,6,9,10,14,17,
18,19,39,41,43,44,47,48,55,56,58,59,62,63,69,77,80,117,119,120,165,166,171,
177,179,181,185,190,203,243,268,269,303,319,387],[1,2,3,6,8,9,10,11,18,19,24,
38,40,41,48,49,58,59,63,64,69,74,84,113,120,122,135,139,155,167,173,179,205,
207,246,250,255,326,327,388],[1,2,3,4,5,9,10,12,13,15,16,18,20,21,22,23,25,26,
41,42,45,46,48,52,54,60,61,63,67,70,71,73,75,76,83,85,86,118,120,121,129,131,
132,137,143,148,149,153,154,158,162,164,174,175,176,182,183,240,251,265,289,
292,295,296,298,308,389],[1,2,3,4,5,6,8,9,10,11,15,16,18,19,20,21,22,23,24,25,
26,28,29,38,40,41,48,49,51,52,54,58,59,60,61,63,64,69,75,76,83,87,88,89,92,93,
95,96,113,120,122,129,131,132,135,137,139,144,147,148,150,151,153,157,163,164,
170,173,176,179,180,194,197,246,251,252,257,265,266,273,280,281,302,312,390],[
1,2,3,6,9,10,17,18,19,24,27,41,42,46,47,49,50,56,58,59,62,63,69,77,80,118,119,
122,169,172,177,179,184,195,200,203,245,256,272,303,328,391],[1,2,3,4,5,8,9,
10,11,14,15,16,20,21,22,23,25,26,38,39,40,41,42,46,51,52,54,55,60,61,65,66,76,
87,90,94,95,113,114,115,116,117,118,125,130,133,134,146,150,152,153,154,157,
159,163,164,170,174,175,182,238,241,254,258,261,262,271,280,288,294,308,392],[
1,2,3,5,9,10,15,18,20,23,26,41,48,54,60,63,74,75,77,120,131,137,148,164,167,
177,251,255,268,393],[1,2,3,9,10,14,17,18,39,41,47,48,55,63,74,84,117,119,120,
155,167,171,243,250,255,394],[1,2,3,9,10,11,14,17,18,38,39,41,42,46,47,48,55,
63,77,117,119,120,130,146,171,178,185,200,239,243,249,301,304,395],[1,2,3,4,9,
10,16,18,21,22,25,41,48,52,61,63,74,77,83,120,129,132,153,167,176,177,255,265,
268,396],[1,2,3,6,9,10,12,13,14,18,19,24,27,39,41,45,49,50,55,56,58,59,62,63,
69,72,77,80,82,117,121,122,145,172,177,179,184,185,190,203,242,256,272,319,
320,397],[1,2,3,4,6,9,10,16,18,19,21,22,25,41,43,44,48,52,56,58,59,61,62,63,
69,80,83,84,120,129,132,153,155,165,166,176,179,181,192,193,203,250,265,269,
315,318,398],[1,2,3,4,5,8,9,10,11,12,13,15,16,17,20,21,22,23,25,26,38,40,41,
45,47,51,52,53,54,57,60,61,67,68,70,71,73,76,78,79,81,85,86,87,95,113,119,121,
127,128,136,138,140,141,143,149,150,153,156,157,158,160,162,163,164,170,189,
191,201,202,244,253,260,263,274,275,276,280,284,296,306,399],[1,2,3,9,10,12,
13,18,41,42,45,46,48,63,91,118,120,121,183,186,240,297,400],[1,2,3,4,9,10,14,
16,21,22,25,39,41,52,55,61,65,77,90,115,117,133,153,159,178,249,262,264,401],[
1,2,3,5,9,10,15,18,20,23,26,41,48,54,60,63,75,77,84,120,131,137,148,155,164,
177,250,251,268,402],[1,2,3,4,9,10,16,18,21,22,25,41,48,52,61,63,77,83,84,120,
129,132,153,155,176,177,250,265,268,403],[1,2,3,6,8,9,10,11,14,18,19,24,38,39,
40,41,42,46,48,49,55,58,59,63,64,69,77,113,116,117,118,120,122,125,130,135,
139,146,161,173,177,178,179,185,190,195,200,241,246,270,290,304,319,328,337,
404],[1,2,3,5,6,9,10,15,18,19,20,23,26,41,43,44,48,54,56,58,59,60,62,63,69,75,
80,84,120,131,137,148,155,164,165,166,179,181,188,196,203,250,251,269,286,305,
405],[1,2,3,5,6,9,10,15,18,19,20,23,26,41,43,44,48,54,56,58,59,60,62,63,69,74,
75,80,120,131,137,148,164,165,166,167,179,181,203,206,208,251,255,269,283,307,
406],[1,2,3,8,9,10,11,12,13,17,38,40,41,45,47,53,57,91,113,119,121,136,138,
186,187,204,244,277,297,299,407],[1,2,3,4,9,10,11,14,16,21,22,25,26,38,39,41,
42,46,52,55,60,61,65,90,95,115,117,130,133,134,146,150,153,159,174,239,259,
261,262,324,408],[1,2,3,6,9,10,12,13,14,19,24,39,41,45,49,55,58,72,82,91,117,
121,122,145,186,242,297,409],[1,2,3,6,9,10,17,19,24,41,42,46,47,49,55,58,77,
118,119,122,146,169,178,190,195,237,245,267,290,301,410],[1,2,3,6,8,9,10,11,
12,13,17,18,19,24,38,40,41,45,47,48,49,53,57,58,59,63,64,69,77,113,119,120,
121,122,135,136,138,139,161,173,177,178,179,244,246,270,303,320,411],[1,2,3,8,
9,10,11,14,22,26,38,39,40,41,42,46,55,60,61,113,116,117,118,125,130,133,134,
146,154,163,241,259,264,271,324,412],[1,2,3,4,5,6,9,10,15,16,17,19,20,21,22,
23,24,25,26,28,29,41,42,46,47,49,52,54,58,60,61,68,76,78,79,81,88,89,92,93,96,
118,119,122,127,128,140,141,144,147,151,153,154,156,160,164,169,174,175,180,
182,245,260,275,308,309,312,313,316,321,413],[1,2,3,5,9,10,14,15,20,23,26,39,
41,54,55,60,66,77,94,114,117,134,152,164,178,249,254,259,414],[1,2,3,6,9,10,
11,12,13,14,19,24,38,39,41,42,45,46,49,55,58,72,77,82,117,121,122,130,145,146,
178,190,195,239,242,249,290,323,415],[1,2,3,4,6,9,10,16,18,19,21,22,25,41,43,
44,48,52,56,58,59,61,62,63,69,74,80,83,120,129,132,153,165,166,167,176,179,
181,198,199,203,255,265,269,310,322,416],[1,2,3,4,9,10,14,16,21,22,25,26,39,
41,52,55,60,61,65,77,90,115,117,133,134,153,159,178,249,259,262,417],[1,2,3,6,
9,10,12,13,18,19,41,42,43,44,45,46,48,56,58,59,62,63,69,77,80,118,120,121,165,
166,177,179,181,183,195,200,203,240,268,269,320,328,418],[1,2,3,5,9,10,14,15,
20,22,23,26,39,41,54,55,60,61,66,77,94,114,117,133,134,152,164,178,249,254,
264,419],[1,2,3,8,9,10,11,12,13,14,17,38,39,40,41,42,45,46,47,53,55,57,77,113,
116,117,118,119,121,125,130,136,138,146,161,177,178,241,244,270,301,323,420],[
1,2,3,9,10,12,13,18,41,42,45,46,48,55,63,77,118,120,121,146,178,183,185,200,
237,240,267,304,323,421],[1,2,3,8,9,10,12,13,17,22,26,40,45,47,60,61,77,78,79,
91,138,140,141,161,162,163,186,253,299,300,422],[1,2,3,4,9,11,12,13,16,17,21,
25,26,38,45,47,52,53,57,60,68,73,79,86,91,95,126,127,136,141,149,150,168,186,
187,189,202,204,248,263,277,333,336,423],[1,2,3,4,5,6,8,9,10,15,16,18,19,20,
21,23,24,25,27,28,29,40,43,44,48,49,50,51,52,54,56,58,59,62,63,64,69,74,75,76,
80,83,84,88,89,92,123,124,129,135,137,142,151,155,157,165,166,167,172,173,181,
184,188,192,193,194,196,197,198,199,203,205,206,207,208,273,305,307,310,315,
317,326,329,330,331,334,424],[1,2,3,4,5,6,8,9,10,12,13,14,15,16,17,18,19,20,
21,22,23,24,25,26,28,29,39,40,45,46,47,48,49,51,52,54,59,60,61,64,65,66,67,68,
70,71,72,73,75,76,81,82,83,85,86,88,89,90,92,93,94,96,114,115,116,127,128,129,
135,137,138,143,144,145,148,149,151,152,156,157,158,159,160,163,169,171,174,
175,176,180,182,183,194,197,209,210,211,212,238,273,274,278,279,281,285,289,
294,298,306,313,314,321,325,425],[1,2,3,4,5,6,9,10,11,12,13,14,15,16,17,18,19,
20,21,22,23,24,25,26,28,29,38,39,45,46,47,48,49,52,53,54,55,57,60,61,65,67,68,
69,71,72,73,76,79,82,83,86,87,88,89,90,92,93,94,95,115,127,129,130,131,134,
136,139,141,143,144,145,147,148,149,150,151,152,154,156,159,160,162,169,170,
171,174,176,182,183,189,202,209,210,252,261,263,278,279,284,287,288,291,295,
298,302,309,311,321,426],[1,2,3,4,6,9,11,16,18,19,21,24,25,26,27,38,43,44,48,
49,50,52,56,60,62,69,74,80,83,84,93,95,129,131,139,144,150,155,165,166,167,
184,192,193,198,199,247,252,283,286,310,315,327,427],[1,2,3,4,5,8,9,10,12,13,
15,16,17,20,21,23,25,40,45,47,51,52,54,67,68,71,76,77,81,91,127,128,138,143,
157,161,186,274,299,300,428],[1,2,3,4,5,6,9,10,11,12,13,14,15,16,17,18,19,20,
21,22,23,24,25,26,28,29,38,39,45,46,47,48,49,52,53,54,55,57,60,61,66,67,69,70,
71,72,75,76,78,81,82,85,87,88,89,90,92,94,95,96,114,128,130,132,133,136,137,
139,140,143,145,147,148,150,151,152,154,156,158,159,160,162,169,170,171,175,
176,180,182,183,191,201,211,212,257,258,276,282,284,285,287,288,289,292,293,
302,313,316,325,429],[1,2,3,6,8,9,10,18,19,22,24,26,27,40,43,44,48,49,50,56,
58,59,60,61,62,63,64,69,74,80,84,123,124,131,132,135,142,147,155,163,165,166,
167,172,173,181,184,203,205,207,266,283,286,317,318,322,326,430],[1,2,3,4,5,6,
8,9,10,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,39,40,45,46,47,48,49,51,
52,54,59,60,61,64,70,72,73,76,78,79,82,85,86,90,93,94,96,116,131,132,133,134,
135,138,140,141,144,145,147,148,149,152,154,156,157,158,159,160,162,163,169,
171,174,175,176,180,183,253,266,271,281,282,291,292,293,294,295,306,309,311,
314,316,431],[1,2,3,5,6,9,11,15,18,19,20,22,23,24,27,38,43,44,48,49,50,54,56,
61,62,69,74,75,80,84,87,96,132,137,139,155,165,166,167,170,180,184,188,196,
206,208,247,257,305,307,318,322,327,432],[1,2,3,5,9,11,12,13,15,17,20,22,23,
38,45,47,53,54,57,61,70,78,81,85,87,91,126,128,136,140,158,168,170,186,187,
191,201,204,248,276,277,332,335,433],[1,2,6,8,18,19,30,64,74,84,97,98,205,213,
214,215,338,339,340,434],[1,2,3,7,9,10,11,14,33,38,39,41,42,46,55,99,100,117,
130,146,217,219,225,239,435],[1,2,3,7,9,11,12,13,17,33,38,45,47,53,57,100,126,
136,168,219,248,341,436],[1,2,3,6,7,9,11,18,19,24,27,33,38,43,44,48,49,50,56,
62,69,80,100,106,139,165,166,184,219,224,226,228,247,437],[1,2,3,4,5,7,8,9,10,
14,15,16,20,21,23,25,33,34,35,39,40,46,51,52,54,65,66,76,99,101,102,105,114,
115,116,157,182,217,220,223,229,238,345,346,347,438],[1,3,5,7,11,12,17,20,22,
37,53,70,78,81,87,91,100,126,191,204,230,335,341,439],[1,2,3,4,5,6,7,9,12,13,
14,15,16,19,20,21,23,24,25,26,28,29,31,32,33,35,37,39,45,49,52,54,60,65,67,71,
72,73,82,86,88,89,92,93,94,99,103,104,105,109,112,115,143,144,145,149,151,152,
209,210,216,217,218,220,222,231,279,343,347,348,351,352,440],[1,2,3,6,7,8,9,
10,12,13,14,17,18,19,24,31,32,33,39,40,45,46,47,48,49,59,64,72,82,99,101,103,
107,116,135,138,145,169,171,183,216,217,218,234,314,342,343,345,441],[1,2,3,4,
7,9,14,16,17,18,21,22,25,33,35,36,39,47,48,52,61,65,68,83,90,99,105,107,108,
115,127,129,156,159,171,176,217,220,221,236,278,342,344,347,442],[1,2,3,4,5,6,
7,9,12,13,14,15,16,19,20,21,22,23,24,25,28,29,31,32,33,34,36,39,45,49,52,54,
61,66,67,70,71,72,82,85,88,89,90,92,96,99,102,103,108,110,111,114,143,145,151,
158,159,180,211,212,216,217,218,221,223,235,325,343,344,346,357,358,443],[1,3,
4,7,11,12,17,25,26,36,53,68,73,79,91,95,100,126,187,189,227,336,341,444],[1,2,
3,4,5,7,8,9,10,14,15,16,20,21,22,23,25,26,33,36,37,39,40,46,51,52,54,60,61,76,
90,94,99,101,104,108,116,152,157,159,163,174,175,217,221,222,232,294,344,345,
348,445],[1,2,3,5,7,9,14,15,17,18,20,23,26,33,34,37,39,47,48,54,60,66,75,81,
94,99,102,104,107,114,128,137,148,152,160,171,217,222,223,233,285,342,346,348,
446],[1,2,4,5,6,7,8,15,16,18,19,28,29,33,36,37,43,51,62,64,74,75,83,84,88,101,
104,108,124,188,192,197,198,205,206,224,232,330,356,359,363,447],[1,2,3,4,5,7,
8,9,10,11,15,16,20,21,22,23,25,26,33,36,37,38,40,41,51,52,54,60,61,76,87,95,
100,101,104,108,113,150,153,157,163,164,170,219,227,230,232,280,349,353,355,
448],[1,2,4,5,6,7,8,15,16,18,19,28,29,33,36,37,44,51,56,64,74,75,83,84,88,101,
104,108,123,193,196,197,199,205,208,226,232,331,354,361,362,449],[1,2,3,6,7,8,
9,10,18,19,31,32,33,40,42,55,58,63,64,69,77,101,103,107,125,161,173,185,190,
195,200,225,234,337,350,360,364,450],[1,2,7,18,30,33,44,97,107,214,226,451],[
1,2,7,18,30,33,43,97,107,214,224,452],[1,2,6,7,19,27,30,31,32,33,50,97,98,103,
106,213,228,367,453],[1,2,3,4,5,8,9,10,11,14,15,16,20,21,22,23,25,26,38,39,40,
41,42,46,51,52,54,55,60,61,65,66,76,87,90,94,95,113,114,115,116,117,118,125,
130,133,134,146,150,152,153,154,157,159,163,164,170,174,175,182,237,238,239,
241,254,258,259,261,262,264,271,280,288,294,308,324,368,371,373,386,392,408,
412,454],[1,2,3,6,8,9,10,11,12,13,14,17,18,19,24,38,39,40,41,42,45,46,47,48,
49,53,55,57,58,59,63,64,69,72,82,91,113,116,117,118,119,120,121,122,125,130,
135,136,138,139,145,146,169,171,173,179,183,186,187,204,240,241,242,243,244,
245,246,277,287,297,299,314,379,400,407,409,455],[1,2,3,6,8,9,10,11,12,13,14,
17,18,19,24,38,39,40,41,42,45,46,47,48,49,53,55,57,58,59,63,64,69,72,77,82,
113,116,117,118,119,120,121,122,125,130,135,136,138,139,145,146,161,169,171,
173,177,178,179,183,185,190,195,200,237,239,240,241,242,243,244,245,246,249,
267,270,287,290,301,304,314,319,323,328,337,368,376,379,395,404,410,415,420,
421,456],[1,2,3,6,8,9,10,11,12,13,14,17,18,19,24,27,38,39,40,41,42,43,44,45,
46,47,48,49,50,53,55,56,57,58,59,62,63,64,69,72,77,80,82,113,116,117,118,119,
120,121,122,123,124,125,130,135,136,138,139,142,145,146,161,165,166,169,171,
172,173,177,178,179,181,183,184,185,190,195,200,203,240,241,242,243,244,245,
246,247,256,268,269,270,272,287,290,303,304,314,317,319,320,328,337,370,379,
381,387,391,397,404,411,418,457],[1,2,3,6,8,9,10,11,12,13,14,17,18,19,22,24,
26,38,39,40,41,42,45,46,47,48,49,53,55,57,58,59,60,61,63,64,69,72,82,113,116,
117,118,119,120,121,122,125,130,133,134,135,136,138,139,145,146,154,163,169,
171,173,179,183,240,241,242,243,244,245,246,259,264,271,287,314,324,378,379,
380,384,412,458],[1,2,3,6,8,9,10,11,12,13,14,17,18,19,24,38,39,40,41,42,45,46,
47,48,49,53,55,57,58,59,63,64,69,72,77,82,113,116,117,118,119,120,121,122,125,
126,130,135,136,138,139,145,146,161,168,169,171,173,177,178,179,183,240,241,
242,243,244,245,246,248,270,287,300,301,303,314,320,323,369,375,379,411,420,
459],[1,2,3,6,8,9,10,11,12,13,14,17,18,19,24,38,39,40,41,42,45,46,47,48,49,53,
55,57,58,59,63,64,69,72,74,82,84,113,116,117,118,119,120,121,122,125,130,135,
136,138,139,145,146,155,167,169,171,173,179,183,205,207,240,241,242,243,244,
245,246,250,255,287,314,326,327,379,382,383,388,394,460],[1,2,3,4,5,6,8,9,10,
11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,28,29,38,39,40,41,42,45,46,47,
48,49,51,52,53,54,55,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,75,76,78,
79,81,82,83,85,86,87,88,89,90,92,93,94,95,96,113,114,115,116,117,118,119,120,
121,122,125,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,143,
144,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,162,163,164,
169,170,171,173,174,175,176,179,180,182,183,189,191,194,197,201,202,209,210,
211,212,238,240,241,242,243,244,245,246,251,252,253,254,257,258,260,261,262,
263,265,266,271,273,274,275,276,278,279,280,281,282,284,285,287,288,289,291,
292,293,294,295,296,298,302,306,308,309,311,312,313,314,316,321,325,374,377,
379,385,389,390,392,399,413,425,426,429,431,461],[1,2,3,6,9,10,12,13,14,18,19,
24,26,27,39,41,45,49,50,55,56,58,59,60,62,63,69,72,77,80,82,91,117,121,122,
134,145,172,177,179,184,185,186,190,203,242,256,259,272,297,319,320,380,397,
409,462],[1,2,3,6,9,10,12,13,14,18,19,22,24,27,39,41,45,49,50,55,56,58,59,61,
62,63,69,72,77,80,82,91,117,121,122,133,145,172,177,179,184,185,186,190,203,
242,256,264,272,297,319,320,378,397,409,463],[1,2,3,4,5,8,9,10,11,12,13,15,16,
17,20,21,22,23,25,26,38,40,41,45,47,51,52,53,54,57,60,61,67,68,70,71,73,76,78,
79,81,85,86,87,91,95,113,119,121,126,127,128,136,138,140,141,143,149,150,153,
156,157,158,160,162,163,164,168,170,186,187,189,191,201,202,204,244,248,253,
260,263,274,275,276,277,280,284,296,297,299,306,332,333,335,336,369,399,407,
423,433,464],[1,2,3,4,5,8,9,10,11,12,13,15,16,17,20,21,22,23,25,26,38,40,41,
45,47,51,52,53,54,57,60,61,67,68,70,71,73,76,77,78,79,81,85,86,87,91,95,113,
119,121,127,128,136,138,140,141,143,149,150,153,156,157,158,160,161,162,163,
164,170,177,178,186,187,189,191,201,202,204,244,253,260,263,270,274,275,276,
277,280,284,296,297,299,300,306,375,399,407,422,428,465],[1,2,3,4,9,10,11,14,
16,17,18,21,22,25,26,38,39,41,42,46,47,48,52,55,60,61,63,65,68,77,78,83,90,95,
115,117,119,120,127,129,130,132,133,134,140,146,150,153,156,159,171,174,176,
178,185,200,239,243,249,259,260,261,262,264,265,278,293,301,304,324,373,374,
384,395,401,408,417,466],[1,2,3,4,6,9,10,14,16,17,18,19,21,22,25,39,41,43,44,
47,48,52,55,56,58,59,61,62,63,65,68,69,74,77,78,80,83,84,90,115,117,119,120,
127,129,132,133,140,153,155,156,159,165,166,167,171,176,177,179,181,185,190,
192,193,198,199,203,243,250,255,260,262,265,268,269,278,293,303,310,315,318,
319,322,374,387,394,396,398,403,416,467],[1,2,3,4,5,8,9,10,11,14,15,16,20,21,
22,23,25,26,38,39,40,41,42,46,51,52,54,55,60,61,65,66,76,77,87,90,94,95,113,
114,115,116,117,118,125,130,133,134,146,150,152,153,154,157,159,161,163,164,
170,174,175,177,178,182,238,241,249,254,258,259,261,262,264,267,270,271,280,
288,294,308,324,376,392,401,412,414,417,419,468],[1,2,3,4,5,6,9,10,11,12,13,
14,15,16,19,20,21,22,23,24,25,26,28,29,38,39,41,42,45,46,49,52,54,55,58,60,61,
65,66,67,70,71,72,73,77,82,85,86,88,89,90,92,93,94,95,96,114,115,117,121,122,
130,133,134,143,144,145,146,147,149,150,151,152,153,158,159,162,164,174,178,
180,190,195,209,210,211,212,239,242,249,254,259,261,262,279,282,290,296,311,
312,323,324,325,371,380,385,408,414,415,417,469],[1,2,3,4,5,6,8,9,10,11,15,16,
18,19,20,21,22,23,24,25,26,27,28,29,38,40,41,43,44,48,49,50,51,52,54,56,58,59,
60,61,62,63,64,69,74,75,76,80,83,84,87,88,89,92,93,95,96,113,120,122,123,124,
129,131,132,135,137,139,142,144,147,148,150,151,153,155,157,163,164,165,166,
167,170,172,173,176,179,180,181,184,188,192,193,194,196,197,198,199,203,205,
206,207,208,246,247,250,251,252,255,256,257,265,266,269,273,280,281,283,286,
302,305,307,310,312,315,317,318,322,326,327,329,330,331,334,370,388,390,398,
405,406,416,424,427,430,432,470],[1,2,3,4,5,6,8,9,10,11,15,16,18,19,20,21,22,
23,24,25,26,28,29,38,40,41,48,49,51,52,54,58,59,60,61,63,64,69,74,75,76,77,83,
84,87,88,89,92,93,95,96,113,120,122,129,131,132,135,137,139,144,147,148,150,
151,153,155,157,161,163,164,167,170,173,176,177,178,179,180,194,197,205,207,
246,250,251,252,255,257,265,266,268,270,272,273,280,281,302,312,326,327,381,
388,390,393,396,402,403,471],[1,2,3,4,5,6,9,10,11,12,13,14,15,16,19,20,21,22,
23,24,25,26,28,29,38,39,41,42,45,46,49,52,54,55,58,60,61,65,66,67,70,71,72,73,
77,82,85,86,87,88,89,90,92,93,94,96,114,115,117,121,122,130,133,134,143,144,
145,146,147,149,151,152,153,158,159,162,164,170,175,178,180,190,195,209,210,
211,212,239,242,249,254,258,262,264,279,282,290,296,311,312,323,324,325,373,
378,385,386,401,415,419,472],[1,2,3,4,5,6,9,10,12,13,15,16,18,19,20,21,22,23,
25,26,41,42,43,44,45,46,48,52,54,56,58,59,60,61,62,63,67,69,70,71,73,74,75,76,
77,80,83,85,86,118,120,121,129,131,132,137,143,148,149,153,154,158,162,164,
165,166,167,174,175,176,177,179,181,182,183,195,198,199,200,203,206,208,240,
251,255,265,268,269,283,289,292,295,296,298,307,308,310,320,322,328,382,389,
393,396,406,416,418,473],[1,2,3,4,5,6,9,10,12,13,15,16,18,19,20,21,22,23,25,
26,41,42,43,44,45,46,48,52,54,56,58,59,60,61,62,63,67,69,70,71,73,75,76,77,80,
83,84,85,86,118,120,121,129,131,132,137,143,148,149,153,154,155,158,162,164,
165,166,174,175,176,177,179,181,182,183,188,192,193,195,196,200,203,240,250,
251,265,268,269,286,289,292,295,296,298,305,308,315,318,320,328,383,389,398,
402,403,405,418,474],[1,2,3,5,6,9,10,14,15,17,18,19,20,23,26,39,41,43,44,47,
48,54,55,56,58,59,60,62,63,66,69,74,75,77,79,80,81,84,94,114,117,119,120,128,
131,134,137,141,148,152,155,160,164,165,166,167,171,177,179,181,185,188,190,
196,203,206,208,243,250,251,254,255,268,269,275,283,285,286,291,303,305,307,
319,377,387,393,394,402,405,406,475],[1,2,3,9,10,12,13,18,41,42,45,46,48,55,
63,74,77,91,118,120,121,146,167,178,183,185,186,200,237,240,255,267,297,304,
323,382,400,421,476],[1,2,3,9,10,12,13,18,41,42,45,46,48,55,63,77,84,91,118,
120,121,146,155,178,183,185,186,200,237,240,250,267,297,304,323,383,400,421,
477],[1,2,3,6,8,9,10,11,12,13,14,17,18,19,24,38,39,40,41,42,45,46,47,48,49,53,
55,57,58,59,63,64,69,77,113,116,117,118,119,120,121,122,125,130,135,136,138,
139,146,161,173,177,178,179,185,190,195,200,241,244,246,249,267,268,270,272,
290,300,301,303,304,319,320,323,328,337,372,375,376,381,404,411,420,478],[1,2,
3,5,9,10,11,14,15,17,18,20,22,23,26,38,39,41,42,46,47,48,54,55,60,61,63,66,75,
77,79,81,87,94,114,117,119,120,128,130,131,133,134,137,141,146,148,152,160,
164,170,171,175,178,185,200,239,243,249,251,254,258,259,264,275,285,291,301,
304,324,371,377,384,386,395,414,419,479],[1,2,3,9,10,30,41,42,46,55,97,118,
146,237,480],[1,2,3,6,7,9,10,11,12,13,14,19,24,31,32,33,38,39,41,42,45,46,49,
55,58,72,77,82,99,100,103,117,121,122,130,145,146,178,190,195,216,217,218,219,
225,239,242,249,290,323,343,364,415,435,481],[1,2,3,5,7,9,10,11,14,15,20,22,
23,26,33,37,38,39,41,42,46,54,55,60,61,66,87,94,99,100,104,114,117,130,133,
134,146,152,164,170,175,217,219,222,225,230,239,254,258,264,324,348,353,386,
435,482],[1,2,3,5,7,9,10,11,14,15,20,23,26,33,34,38,39,41,42,46,54,55,60,66,
94,99,100,102,114,117,130,134,146,152,164,217,219,223,225,239,254,259,346,371,
435,483],[1,2,3,4,7,9,10,11,14,16,21,22,25,33,35,38,39,41,42,46,52,55,61,65,
90,99,100,105,115,117,130,133,146,153,159,217,219,220,225,239,262,264,347,373,
435,484],[1,2,3,4,7,9,10,11,14,16,21,22,25,26,33,36,38,39,41,42,46,52,55,60,
61,65,90,95,99,100,108,115,117,130,133,134,146,150,153,159,174,217,219,221,
225,227,239,259,261,262,324,344,355,408,435,485],[1,2,3,7,9,10,11,14,17,18,33,
38,39,41,42,46,47,48,55,63,77,99,100,107,117,119,120,130,146,171,178,185,200,
217,219,225,239,243,249,301,304,342,360,395,435,486],[1,2,3,7,8,9,10,11,14,33,
38,39,40,41,42,46,55,99,100,101,113,116,117,118,125,130,146,217,219,225,237,
239,241,345,349,350,368,435,487],[1,2,3,5,6,7,9,11,15,18,19,20,22,23,24,27,33,
37,38,43,44,48,49,50,54,56,61,62,69,74,75,80,84,87,96,100,104,106,132,137,139,
155,165,166,167,170,180,184,188,196,206,208,219,224,226,228,230,247,257,305,
307,318,322,327,353,356,362,432,437,488],[1,2,3,4,6,7,9,11,16,18,19,21,24,25,
26,27,33,36,38,43,44,48,49,50,52,56,60,62,69,74,80,83,84,93,95,100,106,108,
129,131,139,144,150,155,165,166,167,184,192,193,198,199,219,224,226,227,228,
247,252,283,286,310,315,327,355,361,363,427,437,489],[1,2,3,5,7,9,11,12,13,15,
17,20,22,23,33,37,38,45,47,53,54,57,61,70,78,81,85,87,91,100,104,126,128,136,
140,158,168,170,186,187,191,201,204,219,230,248,276,277,332,335,341,353,433,
436,439,490],[1,2,3,7,8,9,10,11,12,13,17,33,38,40,41,45,47,53,57,100,101,113,
119,121,126,136,138,168,219,244,248,341,349,369,436,491],[1,2,3,4,7,9,11,12,
13,16,17,21,25,26,33,36,38,45,47,52,53,57,60,68,73,79,86,91,95,100,108,126,
127,136,141,149,150,168,186,187,189,202,204,219,227,248,263,277,333,336,341,
355,423,436,444,492],[1,2,3,6,7,8,9,10,11,18,19,24,27,33,38,40,41,43,44,48,49,
50,56,58,59,62,63,64,69,80,100,101,106,113,120,122,123,124,135,139,142,165,
166,172,173,179,181,184,203,219,224,226,228,246,247,256,269,317,349,354,359,
366,370,437,493],[1,2,3,4,5,6,7,8,9,10,12,13,14,15,16,17,18,19,20,21,22,23,24,
25,26,28,29,31,32,33,34,35,36,37,39,40,45,46,47,48,49,51,52,54,59,60,61,64,65,
66,67,68,70,71,72,73,75,76,81,82,83,85,86,88,89,90,92,93,94,96,99,101,102,103,
104,105,107,108,109,110,111,112,114,115,116,127,128,129,135,137,138,143,144,
145,148,149,151,152,156,157,158,159,160,163,169,171,174,175,176,180,182,183,
194,197,209,210,211,212,216,217,218,220,221,222,223,229,231,232,233,234,235,
236,238,273,274,278,279,281,285,289,294,298,306,313,314,321,325,342,343,344,
345,346,347,348,351,352,357,358,365,425,438,440,441,442,443,445,446,494],[1,2,
3,7,8,9,10,11,33,38,40,41,77,100,101,113,161,177,178,219,270,349,372,495],[1,
2,4,7,16,18,30,33,35,36,44,74,83,97,105,107,108,199,214,226,236,338,361,451,
496],[1,2,4,7,16,18,30,33,35,36,43,83,84,97,105,107,108,192,214,224,236,339,
363,452,497],[1,2,6,7,8,18,19,30,31,32,33,43,62,64,97,98,101,103,107,124,213,
214,215,224,234,340,359,452,498],[1,2,6,7,8,18,19,30,31,32,33,44,56,64,97,98,
101,103,107,123,213,214,215,226,234,340,354,451,499],[1,2,5,7,15,18,30,33,34,
37,44,75,84,97,102,104,107,196,214,226,233,339,362,451,500],[1,2,5,7,15,18,30,
33,34,37,43,74,75,97,102,104,107,206,214,224,233,338,356,452,501],[1,2,6,7,8,
18,19,27,30,31,32,33,50,64,80,97,98,101,103,106,107,142,213,214,215,228,234,
340,366,367,453,502],[1,2,3,6,8,9,10,11,12,13,14,17,18,19,24,27,38,39,40,41,
42,43,44,45,46,47,48,49,50,53,55,56,57,58,59,62,63,64,69,72,77,80,82,113,116,
117,118,119,120,121,122,123,124,125,126,130,135,136,138,139,142,145,146,161,
165,166,168,169,171,172,173,177,178,179,181,183,184,185,190,195,200,203,237,
239,240,241,242,243,244,245,246,247,248,249,256,267,268,269,270,272,287,290,
300,301,303,304,314,317,319,320,323,328,337,368,369,370,372,375,376,379,381,
387,391,395,397,404,410,411,415,418,420,421,456,457,459,478,503],[1,2,3,6,8,9,
10,11,12,13,14,17,18,19,22,24,26,27,38,39,40,41,42,43,44,45,46,47,48,49,50,53,
55,56,57,58,59,60,61,62,63,64,69,72,77,80,82,91,113,116,117,118,119,120,121,
122,123,124,125,130,133,134,135,136,138,139,142,145,146,154,161,163,165,166,
169,171,172,173,177,178,179,181,183,184,185,186,187,190,195,200,203,204,240,
241,242,243,244,245,246,247,256,259,264,268,269,270,271,272,277,287,290,297,
299,303,304,314,317,319,320,324,328,337,370,378,379,380,381,384,387,391,397,
400,404,407,409,411,412,418,455,457,458,462,463,504],[1,2,3,6,8,9,10,11,12,13,
14,17,18,19,22,24,26,38,39,40,41,42,45,46,47,48,49,53,55,57,58,59,60,61,63,64,
69,72,74,77,82,84,113,116,117,118,119,120,121,122,125,126,130,133,134,135,136,
138,139,145,146,154,155,161,163,167,168,169,171,173,177,178,179,183,205,207,
240,241,242,243,244,245,246,248,250,255,259,264,270,271,287,300,301,303,314,
320,323,324,326,327,369,375,378,379,380,382,383,384,388,394,411,412,420,458,
459,460,505],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,
26,27,28,29,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,
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,
86,87,88,89,90,92,93,94,95,96,113,114,115,116,117,118,119,120,121,122,123,124,
125,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,
145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,
164,165,166,167,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,
184,185,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,205,
206,207,208,209,210,211,212,238,240,241,242,243,244,245,246,247,250,251,252,
253,254,255,256,257,258,260,261,262,263,265,266,268,269,270,271,272,273,274,
275,276,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,
295,296,298,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,
318,319,320,321,322,325,326,327,328,329,330,331,334,337,370,374,377,379,381,
382,383,385,387,388,389,390,391,392,393,394,396,397,398,399,402,403,404,405,
406,411,413,416,418,424,425,426,427,429,430,431,432,457,460,461,467,470,471,
473,474,475,506],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,
24,25,26,28,29,38,39,40,41,42,45,46,47,48,49,51,52,53,54,55,57,58,59,60,61,63,
64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,81,82,83,85,86,87,88,89,90,91,92,
93,94,95,96,113,114,115,116,117,118,119,120,121,122,125,126,127,128,129,130,
131,132,133,134,135,136,137,138,139,140,141,143,144,145,146,147,148,149,150,
151,152,153,154,156,157,158,159,160,161,162,163,164,168,169,170,171,173,174,
175,176,177,178,179,180,182,183,186,187,189,191,194,197,201,202,204,209,210,
211,212,238,240,241,242,243,244,245,246,248,251,252,253,254,257,258,260,261,
262,263,265,266,270,271,273,274,275,276,277,278,279,280,281,282,284,285,287,
288,289,291,292,293,294,295,296,297,298,299,300,301,302,303,306,308,309,311,
312,313,314,316,320,321,323,325,332,333,335,336,369,374,375,377,379,385,389,
390,392,399,400,407,409,411,413,420,422,423,425,426,428,429,431,433,455,459,
461,464,465,507],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,
24,25,26,28,29,38,39,40,41,42,45,46,47,48,49,51,52,53,54,55,57,58,59,60,61,63,
64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,81,82,83,85,86,87,88,89,90,92,93,
94,95,96,113,114,115,116,117,118,119,120,121,122,125,127,128,129,130,131,132,
133,134,135,136,137,138,139,140,141,143,144,145,146,147,148,149,150,151,152,
153,154,156,157,158,159,160,161,162,163,164,169,170,171,173,174,175,176,177,
178,179,180,182,183,185,189,190,191,194,195,197,200,201,202,209,210,211,212,
237,238,239,240,241,242,243,244,245,246,249,251,252,253,254,257,258,259,260,
261,262,263,264,265,266,267,270,271,273,274,275,276,278,279,280,281,282,284,
285,287,288,289,290,291,292,293,294,295,296,298,301,302,304,306,308,309,311,
312,313,314,316,319,321,323,324,325,328,337,368,371,373,374,376,377,378,379,
380,384,385,386,389,390,392,395,399,401,404,408,410,412,413,414,415,417,419,
420,421,425,426,429,431,454,456,458,461,466,468,469,472,479,508],[1,2,3,6,8,9,
10,11,12,13,14,17,18,19,24,38,39,40,41,42,45,46,47,48,49,53,55,57,58,59,63,64,
69,72,74,77,82,84,91,113,116,117,118,119,120,121,122,125,130,135,136,138,139,
145,146,155,161,167,169,171,173,177,178,179,183,185,186,187,190,195,200,204,
205,207,237,239,240,241,242,243,244,245,246,249,250,255,267,270,277,287,290,
297,299,301,304,314,319,323,326,327,328,337,368,376,379,382,383,388,394,395,
400,404,407,409,410,415,420,421,455,456,460,476,477,509],[1,2,3,8,9,10,11,14,
30,38,39,40,41,42,46,55,97,113,116,117,118,125,130,146,215,237,239,241,368,
480,510],[1,2,3,6,9,10,17,19,24,30,41,42,46,47,49,55,58,77,97,98,118,119,122,
146,169,178,190,195,213,237,245,267,290,301,410,480,511],[1,2,3,9,10,12,13,18,
30,41,42,45,46,48,55,63,77,97,118,120,121,146,178,183,185,200,214,237,240,267,
304,323,421,480,512],[1,2,3,6,7,8,9,10,11,12,13,14,17,18,19,24,31,32,33,38,39,
40,41,42,45,46,47,48,49,53,55,57,58,59,63,64,69,72,77,82,99,100,101,103,107,
113,116,117,118,119,120,121,122,125,130,135,136,138,139,145,146,161,169,171,
173,177,178,179,183,185,190,195,200,216,217,218,219,225,234,237,239,240,241,
242,243,244,245,246,249,267,270,287,290,301,304,314,319,323,328,337,342,343,
345,349,350,360,364,368,376,379,395,404,410,415,420,421,435,441,450,456,481,
486,487,513],[1,2,3,4,7,9,10,11,14,16,17,18,21,22,25,26,33,35,36,38,39,41,42,
46,47,48,52,55,60,61,63,65,68,77,78,83,90,95,99,100,105,107,108,115,117,119,
120,127,129,130,132,133,134,140,146,150,153,156,159,171,174,176,178,185,200,
217,219,220,221,225,227,236,239,243,249,259,260,261,262,264,265,278,293,301,
304,324,342,344,347,355,360,373,374,384,395,401,408,417,435,442,466,484,485,
486,514],[1,2,3,4,5,7,8,9,10,11,14,15,16,20,21,22,23,25,26,33,34,35,38,39,40,
41,42,46,51,52,54,55,60,61,65,66,76,87,90,94,95,99,100,101,102,105,113,114,
115,116,117,118,125,130,133,134,146,150,152,153,154,157,159,163,164,170,174,
175,182,217,219,220,223,225,229,237,238,239,241,254,258,259,261,262,264,271,
280,288,294,308,324,345,346,347,349,350,368,371,373,386,392,408,412,435,438,
454,483,484,487,515],[1,2,3,4,5,6,7,9,10,11,12,13,14,15,16,19,20,21,22,23,24,
25,26,28,29,31,32,33,35,37,38,39,41,42,45,46,49,52,54,55,58,60,61,65,66,67,70,
71,72,73,77,82,85,86,87,88,89,90,92,93,94,96,99,100,103,104,105,109,112,114,
115,117,121,122,130,133,134,143,144,145,146,147,149,151,152,153,158,159,162,
164,170,175,178,180,190,195,209,210,211,212,216,217,218,219,220,222,225,230,
231,239,242,249,254,258,262,264,279,282,290,296,311,312,323,324,325,343,347,
348,351,352,353,364,373,378,385,386,401,415,419,435,440,472,481,482,484,516],[
1,2,3,4,5,7,8,9,10,11,14,15,16,20,21,22,23,25,26,33,36,37,38,39,40,41,42,46,
51,52,54,55,60,61,65,66,76,87,90,94,95,99,100,101,104,108,113,114,115,116,117,
118,125,130,133,134,146,150,152,153,154,157,159,163,164,170,174,175,182,217,
219,221,222,225,227,230,232,237,238,239,241,254,258,259,261,262,264,271,280,
288,294,308,324,344,345,348,349,350,353,355,368,371,373,386,392,408,412,435,
445,448,454,482,485,487,517],[1,2,3,5,7,9,10,11,14,15,17,18,20,22,23,26,33,34,
37,38,39,41,42,46,47,48,54,55,60,61,63,66,75,77,79,81,87,94,99,100,102,104,
107,114,117,119,120,128,130,131,133,134,137,141,146,148,152,160,164,170,171,
175,178,185,200,217,219,222,223,225,230,233,239,243,249,251,254,258,259,264,
275,285,291,301,304,324,342,346,348,353,360,371,377,384,386,395,414,419,435,
446,479,482,483,486,518],[1,2,3,4,5,6,7,9,10,11,12,13,14,15,16,19,20,21,22,23,
24,25,26,28,29,31,32,33,34,36,38,39,41,42,45,46,49,52,54,55,58,60,61,65,66,67,
70,71,72,73,77,82,85,86,88,89,90,92,93,94,95,96,99,100,102,103,108,110,111,
114,115,117,121,122,130,133,134,143,144,145,146,147,149,150,151,152,153,158,
159,162,164,174,178,180,190,195,209,210,211,212,216,217,218,219,221,223,225,
227,235,239,242,249,254,259,261,262,279,282,290,296,311,312,323,324,325,343,
344,346,355,357,358,364,371,380,385,408,414,415,417,435,443,469,481,483,485,
519],[1,2,3,4,5,7,8,9,10,11,12,13,15,16,17,20,21,22,23,25,26,33,36,37,38,40,
41,45,47,51,52,53,54,57,60,61,67,68,70,71,73,76,78,79,81,85,86,87,91,95,100,
101,104,108,113,119,121,126,127,128,136,138,140,141,143,149,150,153,156,157,
158,160,162,163,164,168,170,186,187,189,191,201,202,204,219,227,230,232,244,
248,253,260,263,274,275,276,277,280,284,296,297,299,306,332,333,335,336,341,
349,353,355,369,399,407,423,433,436,439,444,448,464,490,491,492,520],[1,2,3,4,
5,6,7,8,9,10,11,15,16,18,19,20,21,22,23,24,25,26,27,28,29,33,36,37,38,40,41,
43,44,48,49,50,51,52,54,56,58,59,60,61,62,63,64,69,74,75,76,80,83,84,87,88,89,
92,93,95,96,100,101,104,106,108,113,120,122,123,124,129,131,132,135,137,139,
142,144,147,148,150,151,153,155,157,163,164,165,166,167,170,172,173,176,179,
180,181,184,188,192,193,194,196,197,198,199,203,205,206,207,208,219,224,226,
227,228,230,232,246,247,250,251,252,255,256,257,265,266,269,273,280,281,283,
286,302,305,307,310,312,315,317,318,322,326,327,329,330,331,334,349,353,354,
355,356,359,361,362,363,366,370,388,390,398,405,406,416,424,427,430,432,437,
447,448,449,470,488,489,493,521],[1,2,4,5,6,7,8,15,16,18,19,28,29,30,31,32,33,
34,35,36,37,43,51,62,64,74,75,83,84,88,97,98,101,102,103,104,105,107,108,109,
110,111,112,124,188,192,197,198,205,206,213,214,215,224,229,231,232,233,234,
235,236,330,338,339,340,356,359,363,365,434,447,452,497,498,501,522],[1,2,4,5,
6,7,8,15,16,18,19,28,29,30,31,32,33,34,35,36,37,44,51,56,64,74,75,83,84,88,97,
98,101,102,103,104,105,107,108,109,110,111,112,123,193,196,197,199,205,208,
213,214,215,226,229,231,232,233,234,235,236,331,338,339,340,354,361,362,365,
434,449,451,496,499,500,523],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,
20,21,22,23,24,25,26,27,28,29,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,
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,
80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,113,114,115,116,117,118,
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,
195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,237,
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,
333,334,335,336,337,368,369,370,371,372,373,374,375,376,377,378,379,380,381,
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,
420,421,422,423,424,425,426,427,428,429,430,431,432,433,454,455,456,457,458,
459,460,461,462,463,464,465,466,467,468,469,470,471,472,473,474,475,476,477,
478,479,503,504,505,506,507,508,509,524],[1,2,3,6,8,9,10,11,12,13,14,17,18,19,
24,30,38,39,40,41,42,45,46,47,48,49,53,55,57,58,59,63,64,69,72,77,82,97,98,
113,116,117,118,119,120,121,122,125,130,135,136,138,139,145,146,161,169,171,
173,177,178,179,183,185,190,195,200,213,214,215,237,239,240,241,242,243,244,
245,246,249,267,270,287,290,301,304,314,319,323,328,337,340,368,376,379,395,
404,410,415,420,421,456,480,510,511,512,525],[1,2,3,9,10,12,13,18,30,41,42,45,
46,48,55,63,74,77,91,97,118,120,121,146,167,178,183,185,186,200,214,237,240,
255,267,297,304,323,338,382,400,421,476,480,512,526],[1,2,3,9,10,12,13,18,30,
41,42,45,46,48,55,63,77,84,91,97,118,120,121,146,155,178,183,185,186,200,214,
237,240,250,267,297,304,323,339,383,400,421,477,480,512,527],[1,2,3,6,7,8,9,
10,11,12,13,14,17,18,19,24,27,33,38,39,40,41,42,43,44,45,46,47,48,49,50,53,55,
56,57,58,59,62,63,64,69,72,77,80,82,99,100,101,106,113,116,117,118,119,120,
121,122,123,124,125,126,130,135,136,138,139,142,145,146,161,165,166,168,169,
171,172,173,177,178,179,181,183,184,185,190,195,200,203,217,219,224,225,226,
228,237,239,240,241,242,243,244,245,246,247,248,249,256,267,268,269,270,272,
287,290,300,301,303,304,314,317,319,320,323,328,337,341,345,349,350,354,359,
366,368,369,370,372,375,376,379,381,387,391,395,397,404,410,411,415,418,420,
421,435,436,437,456,457,459,478,487,491,493,495,503,528],[1,2,3,4,5,6,7,8,9,
10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,28,29,31,32,33,34,35,36,37,
38,39,40,41,42,45,46,47,48,49,51,52,53,54,55,57,58,59,60,61,63,64,65,66,67,68,
69,70,71,72,73,75,76,77,78,79,81,82,83,85,86,87,88,89,90,92,93,94,95,96,99,
100,101,102,103,104,105,107,108,109,110,111,112,113,114,115,116,117,118,119,
120,121,122,125,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,
143,144,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,
163,164,169,170,171,173,174,175,176,177,178,179,180,182,183,185,189,190,191,
194,195,197,200,201,202,209,210,211,212,216,217,218,219,220,221,222,223,225,
227,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,
249,251,252,253,254,257,258,259,260,261,262,263,264,265,266,267,270,271,273,
274,275,276,278,279,280,281,282,284,285,287,288,289,290,291,292,293,294,295,
296,298,301,302,304,306,308,309,311,312,313,314,316,319,321,323,324,325,328,
337,342,343,344,345,346,347,348,349,350,351,352,353,355,357,358,360,364,365,
368,371,373,374,376,377,378,379,380,384,385,386,389,390,392,395,399,401,404,
408,410,412,413,414,415,417,419,420,421,425,426,429,431,435,438,440,441,442,
443,445,446,448,450,454,456,458,461,466,468,469,472,479,481,482,483,484,485,
486,487,494,508,513,514,515,516,517,518,519,529],[1,2,3,6,8,9,10,11,12,13,14,
17,18,19,24,30,38,39,40,41,42,45,46,47,48,49,53,55,57,58,59,63,64,69,72,74,77,
82,84,91,97,98,113,116,117,118,119,120,121,122,125,130,135,136,138,139,145,
146,155,161,167,169,171,173,177,178,179,183,185,186,187,190,195,200,204,205,
207,213,214,215,237,239,240,241,242,243,244,245,246,249,250,255,267,270,277,
287,290,297,299,301,304,314,319,323,326,327,328,337,338,339,340,368,376,379,
382,383,388,394,395,400,404,407,409,410,415,420,421,434,455,456,460,476,477,
480,509,510,511,512,525,526,527,530],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,
17,18,19,20,21,22,23,24,25,26,27,28,29,33,36,37,38,39,40,41,42,43,44,45,46,47,
48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,
74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,99,100,
101,104,106,108,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,
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,
204,205,206,207,208,209,210,211,212,217,219,221,222,224,225,226,227,228,230,
232,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,
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,
331,332,333,334,335,336,337,341,344,345,348,349,350,353,354,355,356,359,361,
362,363,366,368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,
384,385,386,387,388,389,390,391,392,393,394,395,396,397,398,399,400,401,402,
403,404,405,406,407,408,409,410,411,412,413,414,415,416,417,418,419,420,421,
422,423,424,425,426,427,428,429,430,431,432,433,435,436,437,439,444,445,447,
448,449,454,455,456,457,458,459,460,461,462,463,464,465,466,467,468,469,470,
471,472,473,474,475,476,477,478,479,482,485,487,488,489,490,491,492,493,495,
503,504,505,506,507,508,509,517,520,521,524,528,531],[1,2,3,6,7,8,9,10,11,12,
13,14,17,18,19,24,27,30,31,32,33,38,39,40,41,42,43,44,45,46,47,48,49,50,53,55,
56,57,58,59,62,63,64,69,72,77,80,82,97,98,99,100,101,103,106,107,113,116,117,
118,119,120,121,122,123,124,125,126,130,135,136,138,139,142,145,146,161,165,
166,168,169,171,172,173,177,178,179,181,183,184,185,190,195,200,203,213,214,
215,216,217,218,219,224,225,226,228,234,237,239,240,241,242,243,244,245,246,
247,248,249,256,267,268,269,270,272,287,290,300,301,303,304,314,317,319,320,
323,328,337,340,341,342,343,345,349,350,354,359,360,364,366,367,368,369,370,
372,375,376,379,381,387,391,395,397,404,410,411,415,418,420,421,435,436,437,
441,450,451,452,453,456,457,459,478,480,481,486,487,491,493,495,498,499,502,
503,510,511,512,513,525,528,532],[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]],
0,[[1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1,1],[1,1,2,1],[1,1,1],[1,3,1],[
1,1,1],[1,1,1],[1,3,1],[1,1,2,1],[1,1,2,1],[1,1,1],[1,1,1],[1,1,2,1],[1,1,2,
1],[1,1,2,1],[1,1,1],[1,1,2,1],[1,1,2,1],[1,1,2,1],[1,1,1],[1,3,1],[1,1,1,1,
1],[1,1,1,1,1],[1,1],[1,3,1,1],[1,3,1,1],[1,1,1,1],[1,1,1,1],[1,1,1,1],[1,3,1,
1],[1,3,1,1],[1,1,6,3,4,1],[1,1,6,3,4,1],[1,1,2,1,1,1,1],[1,1,2,1,2,1],[1,1,3,
1],[1,1,3,1],[1,1,3,1],[1,1,2,1,1,1,1],[1,1,2,1,2,1],[1,1,2,1,2,1],[1,1,2,1,2,
1],[1,1,2,4,1,2,4,1],[1,1,6,3,4,1],[1,1,2,2,1,1,1,1],[1,1,2,4,1,2,2,2,1],[1,3,
1,1,1,1],[1,1,2,4,1,2,2,2,1],[1,1,4,2,1,1],[1,1,4,1,2,1],[1,3,1,1,1,1],[1,1,4,
1,2,1],[1,1,2,1,1,1,1],[1,1,2,1,2,1],[1,1,2,1,2,1],[1,1,4,1,2,1],[1,1,1,2,1],[
1,1,2,1,1,1,1],[1,3,4,1,3,3,1],[1,3,4,1,3,3,1],[1,1,2,2,1,1,1,1],[1,1,4,1,2,
1],[1,1,2,2,1,1,1,1],[1,1,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,3,2,1,1,1,1],[1,1,2,
1,1,1,1],[1,1,1,1],[1,1,4,2,1,1],[1,1,2,2,1,1,1,1],[1,1,1,1],[1,1,1,2,1],[1,1,
1,2,1],[1,1,2,2,1,1],[1,1,4,1,2,1],[1,3,2,1,1,1,1],[1,1,4,2,1,1],[1,1,1,1],[1,
1,2,1,1,1,1],[1,1,2,1,1,1,1],[1,3,2,1,1,1,1],[1,1,2,2,2,1,1,1,2,2,1],[1,1,2,2,
2,1,1,1,2,2,1],[1,3,2,1,1,1,1],[1,1,1,1],[1,1,2,2,2,1,1,1,2,2,1],[1,1,2,2,1,1,
1,1],[1,3,2,1,1,1,1],[1,3,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,1,1],[1,5,1,1],[1,
3,4,1,1],[1,3,4,1,1],[1,1,1,1,1,1],[1,1,2,1,1,1,2,1],[1,1,6,1,3,1,1,1,1],[1,1,
6,1,3,1,2,1],[1,1,2,1,1,1,2,1],[1,3,4,1,1],[1,1,1,3,1,1],[1,1,6,1,3,1,2,1],[1,
1,3,3,1,3,1,1,1,1],[1,3,1,3,1,3,1,1,1,1],[1,3,1,3,1,3,1,1,1,1],[1,1,3,3,1,3,1,
1,1,1],[1,1,6,1,3,3,4,1,3,3,1],[1,1,6,8,3,4,4,12,12,1,6,8,1],[1,1,6,8,3,4,4,
12,12,1,6,8,1],[1,1,6,1,3,3,4,1,3,3,1],[1,1,10,5,2,8,2,1,4,1],[1,1,2,1,6,1,4,
2,1],[1,1,2,1,2,4,1,2,1],[1,1,2,1,2,4,1,2,4,1],[1,1,2,1,2,2,2,1,2,1],[1,1,2,8,
1,2,4,8,1,2,4,1],[1,1,6,1,3,3,1,3,3,1],[1,1,6,1,3,3,1,3,3,1],[1,1,6,1,3,3,3,1,
3,1],[1,3,1,3,3,3,1],[1,1,2,8,1,4,2,4,4,1,2,4,1],[1,1,2,8,1,4,2,4,4,1,2,4,1],[
1,1,2,8,1,4,2,4,4,1,2,4,1],[1,1,10,5,2,4,4,1,1,1,4,1],[1,1,2,1,2,4,1,2,1],[1,
1,2,1,2,4,1,2,1],[1,1,6,3,4,4,1,2,1],[1,1,6,3,4,4,1,2,1],[1,1,2,4,1,1,1,2,2,4,
1,1,1,2,2,1],[1,1,6,3,4,1,1,2,1,1,1,2,2,1],[1,1,2,8,1,4,2,4,4,1,2,4,1],[1,1,2,
1,1,1,1,1,2,1,1,1,1],[1,1,6,4,3,4,2,2,4,1,1,1,4,1],[1,1,2,1,2,4,1,2,4,1],[1,1,
2,1,2,4,1,2,4,1],[1,1,6,1,3,3,4,1,3,3,1],[1,1,2,4,4,1,1,1,2,2,2,2,2,2,1,1,1,2,
2,1],[1,1,2,4,4,1,2,2,2,4,2,2,1,1,1,4,1],[1,1,6,4,3,1,1,4,2,4,1,1,1,2,2,1],[1,
1,6,3,4,1,1,2,3,1],[1,1,2,4,1,2,2,4,2,1,1,1,1],[1,1,2,4,1,2,2,2,2,2,1,1,1,1],[
1,1,2,4,1,1,1,2,2,2,2,1,1,1,2,2,1],[1,1,6,4,3,4,2,2,2,2,1,1,1,4,1],[1,1,2,4,4,
4,1,2,2,2,2,2,2,4,2,8,8,1,1,1,4,4,4,1],[1,1,6,4,3,4,2,2,2,2,1,1,1,4,1],[1,1,2,
4,1,2,2,2,2,2,1,1,1,1],[1,1,2,1,2,2,2,1,1,1,1],[1,1,2,1,2,1,2,1],[1,1,2,4,1,2,
2,2,2,2,1,1,1,1],[1,1,2,4,4,1,1,1,2,2,2,2,2,2,1,2,1,1,2,1],[1,1,2,4,1,1,1,2,2,
2,2,1,1,1,2,2,1],[1,1,6,4,3,4,2,2,2,2,1,1,1,4,1],[1,1,2,4,1,2,2,2,2,2,1,1,1,
1],[1,1,2,1,1,1,1,2,1],[1,1,2,1,1,1,2,2,1,1,1,1],[1,1,2,1,1,1,2,2,1,1,1,1],[1,
1,2,4,1,2,2,2,2,2,1,1,1,1],[1,1,2,4,1,4,2,1,1,1,2,2,1],[1,1,2,4,1,4,2,1,1,1,2,
2,1],[1,1,2,1,2,1,2,1],[1,3,1,1,2,3,1,2,1],[1,1,2,4,1,2,2,2,4,1,1,1,1],[1,1,6,
4,3,4,2,2,2,2,1,1,1,4,1],[1,1,6,3,4,2,2,1,1,1,1],[1,1,10,1,1,5,8,2,1,2,1,1,
1],[1,1,2,4,1,1,1,2,2,1,1,1,2,2,1],[1,1,2,4,1,2,2,2,2,2,1,1,1,1],[1,1,2,4,1,2,
2,2,2,2,1,1,1,1],[1,1,2,4,1,2,2,2,2,2,1,1,1,1],[1,1,2,1,2,1,2,1],[1,1,2,1,2,1,
2,1],[1,1,2,4,1,2,2,2,1,1,2,1,2,1],[1,1,2,4,4,1,2,2,2,2,2,4,1,1,1,4,1],[1,1,2,
1,5,1,1,1,1,2,2,1],[1,1,2,4,4,1,2,2,2,2,2,2,2,1,1,1,4,1],[1,1,2,1,2,1,1,2,1,1,
1,1],[1,1,2,8,1,2,4,4,4,1,1,1,1,2,1,1],[1,1,4,2,1,2,1,1,1,1],[1,1,2,1,1,1,1,2,
1],[1,3,1,1,1,1,2,1],[1,1,4,4,2,1,2,1,1,1,1],[1,3,4,1,1,1,2,2,1,1,2,1,2,1],[1,
1,4,4,2,1,2,1,1,1,1],[1,3,4,1,1,1,2,2,1,2,1,1,2,1],[1,1,4,2,3,1,1,1,1],[1,1,4,
4,2,1,2,1,1,1,1],[1,1,4,4,2,1,2,2,1,1,4,4,1,1,2,1,2,1],[1,1,4,3,2,1,1,1,1],[1,
1,4,2,3,1,1,1,1],[1,1,4,4,2,1,2,2,1,1,4,4,2,1,1,1,2,1],[1,1,4,4,2,1,2,1,1,1,
1],[1,1,4,2,3,1,1,1,1],[1,1,3,2,1,1,1,1],[1,3,4,1,1,1,2,2,1,1,1,2,2,1],[1,3,4,
1,1,1,2,2,1,1,1,2,2,1],[1,1,6,1,3,3,1,1,1,1,1,2,1],[1,3,1,1,1,1,2,1],[1,1,2,1,
1,1,1,1,1,1],[1,1,4,2,3,1,1,1,1],[1,1,2,1,1,1,1,1,1,1],[1,1,4,4,2,1,2,1,1,1,
1],[1,3,4,2,2,1,1,3,1,1,3,1,2,2,1,1,1,1,1,1,1,1],[1,3,4,2,2,1,1,3,1,1,3,1,2,2,
1,1,1,1,1,1,1,1],[1,3,2,4,2,1,1,3,1,1,3,1,2,2,1,1,1,1,1,1,1,1],[1,3,2,4,2,1,1,
3,1,1,3,1,2,2,1,1,1,1,1,1,1,1],[1,1,10,5,1,1,2,1],[1,1,5,1,1,1],[1,1,1,1,1,
1],[1,3,6,4,3,1,3,4,3,1,1],[1,1,6,4,3,4,4,1,1,1],[1,3,6,4,3,1,3,4,3,1,1],[1,1,
6,4,3,4,4,1,1,1],[1,3,4,4,1,3,3,4,1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,
3,4,3,1,1],[1,3,4,4,1,3,3,4,1,1,1],[1,1,4,3,4,1,1],[1,1,4,3,4,1,1],[1,1,4,3,4,
1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,1,6,4,3,4,4,1,1,1],[1,1,2,2,1,1,1,1,1,2,2,1,1,
1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,1,2,6,6,1,3,1,3,6,6,1,1,1,2,2,3,1,1,1,2,2,
1],[1,1,6,6,1,1,3,3,1,2,2,3,1,1,1,1],[1,1,8,1,4,3,1,2,2,3,1,1,1,1],[1,1,6,1,1,
3,3,1,1,1,3,1,1,1,1],[1,1,6,2,6,1,1,3,3,6,6,1,1,1,2,2,3,1,1,1,2,2,1],[1,1,8,1,
4,3,1,2,2,3,1,1,1,1],[1,1,10,5,10,5,10,10,10,5,10,1],[1,1,6,8,8,1,3,3,4,4,4,
12,12,12,12,1,3,3,4,6,6,8,8,12,1,1,1,6,6,1],[1,1,18,9,6,8,16,2,4,3,2,6,18,3,6,
6,1],[1,1,2,1,6,2,2,4,1,4,2,2,2,4,1,1,1,4,1],[1,1,14,1,7,7,4,8,1,2,7,3,4,6,12,
1,2,1,1,4,2,4,1],[1,1,10,8,5,2,2,2,8,4,8,2,1,2,2,4,4,8,8,1,1,1,4,1],[1,1,10,5,
2,8,4,4,2,1,2,2,4,4,1,1,1,4,1],[1,1,6,1,3,3,4,2,2,4,1,3,3,2,2,4,4,1,1,1,2,2,
1],[1,1,2,8,1,6,4,4,8,1,4,2,2,2,4,1,1,1,4,1],[1,1,6,8,1,3,3,4,4,4,8,1,3,3,2,2,
4,4,4,4,8,1,1,1,2,2,4,4,1],[1,1,6,12,3,4,6,6,12,8,1,1,1,3,3,2,3,3,12,6,3,3,3,
6,1],[1,1,6,3,4,3,3,6,1,3,3,6,6,1,3,3,1],[1,1,10,5,2,8,2,1,4,4,1,2,1],[1,1,2,
1,2,4,1,2,4,4,1,2,1],[1,1,2,8,1,2,4,4,4,4,4,1,2,2,2,4,4,1,1,1,2,2,1],[1,1,6,8,
4,3,4,4,2,2,4,4,4,4,1,1,1,2,2,4,4,8,8,1,1,1,2,2,1],[1,1,2,1,1,1,1,1,2,4,4,1,1,
1,2,2,4,4,1,1,1,2,2,1],[1,1,10,8,5,2,8,4,12,12,4,2,1,6,4,2,8,8,1,1,1,2,2,1],[
1,1,2,1,2,4,1,2,4,4,1,2,1],[1,1,2,16,1,2,4,8,8,16,1,2,4,4,6,4,4,2,4,4,1,4,2,4,
4,1],[1,1,6,8,4,3,4,4,2,2,4,4,4,4,1,1,1,2,2,4,4,8,8,1,1,1,2,2,1],[1,1,10,8,5,
2,4,4,4,12,4,12,1,1,1,6,4,2,8,8,1,1,1,2,2,1],[1,1,10,5,2,8,8,2,1,4,4,1,2,1],[
1,1,2,8,1,2,4,4,4,4,4,1,2,2,2,4,4,1,1,1,2,2,1],[1,1,10,8,5,2,4,4,4,12,12,4,1,
1,1,6,4,2,8,8,1,1,1,2,2,1],[1,1,10,8,5,2,8,4,12,4,12,2,1,6,4,2,8,8,1,1,1,2,2,
1],[1,1,6,8,3,4,1,1,4,2,4,4,4,1,1,1,2,2,2,2,4,4,4,4,8,1,1,1,2,2,4,4,1],[1,1,
10,5,2,8,8,2,1,4,4,1,2,1],[1,1,2,8,1,2,4,4,4,4,4,1,2,2,2,4,4,1,1,1,2,2,1],[1,
1,2,4,1,1,1,2,2,4,4,4,1,1,1,2,2,2,2,1,1,1,2,2,1],[1,1,2,1,6,1,4,2,4,1,2,1],[1,
1,2,1,2,4,1,2,4,4,1,2,1],[1,1,2,8,1,2,8,4,1,2,2,2,2,2,4,2,6,4,8,1,2,2,2,4,4,
1],[1,1,6,1,3,3,4,1,3,3,4,1,2,2,2,1],[1,1,6,1,3,3,4,4,4,1,3,3,2,2,1,1,1,2,2,
1],[1,1,2,8,1,2,4,8,1,2,4,4,1,2,1],[1,1,2,8,8,4,1,1,1,4,4,2,2,4,4,4,4,4,16,16,
1,1,1,4,2,2,2,2,4,4,4,8,8,8,1,1,1,2,2,4,4,1],[1,1,2,8,8,1,1,1,1,1,4,4,2,4,4,4,
4,1,1,1,4,2,2,4,4,4,4,4,1,1,1,2,2,1],[1,1,2,8,1,2,4,4,4,4,4,1,2,2,2,4,4,1,1,1,
2,2,1],[1,1,6,8,3,4,1,1,4,2,4,4,4,1,1,1,2,2,2,2,4,4,4,4,8,1,1,1,2,2,4,4,1],[1,
1,6,3,4,1,1,2,1,1,1,2,2,4,1,2,2,2,1],[1,1,6,12,3,4,6,2,2,14,2,14,1,1,1,7,1,8,
4,4,4,1,1,1,1,1,1,1,1],[1,1,6,8,4,4,3,1,1,4,2,4,2,2,12,2,4,12,2,8,8,1,1,1,6,1,
1,8,2,2,2,2,2,2,4,4,4,4,4,1,1,1,1,1,1,1,4,4,1],[1,1,6,4,4,1,3,3,4,2,2,2,2,2,2,
2,2,1,3,3,2,1,1,1,1,2,4,4,1,1,1,1,1,1,1,1],[1,1,2,4,4,4,1,1,1,2,2,2,2,2,2,2,2,
4,2,2,1,1,1,2,1,1,2,1,1,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,6,4,4,3,1,1,4,2,2,2,4,2,
4,2,1,1,1,1,1,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,2,4,1,4,2,4,1,1,1,2,2,2,2,1,
1,1,1],[1,1,6,4,4,3,4,1,1,2,2,2,2,2,2,2,2,2,1,1,1,1,2,1,2,1,1,2,2,4,4,1,1,1,1,
1,1,1,1],[1,1,6,12,3,4,6,2,2,14,14,2,1,1,1,7,1,8,4,4,4,1,1,1,1,1,1,1,1],[1,1,
2,4,1,4,2,4,1,1,2,1,2,2,2,1,1,1,1],[1,1,10,4,5,2,4,1,1,4,2,2,2,4,1,1,1,1,1,1,
1,2,4,2,4,2,2,1,1,1,1,1,1,1,1],[1,1,10,4,4,5,2,4,4,2,2,2,2,2,2,2,2,1,1,1,1,1,
4,1,1,4,4,4,4,4,1,1,1,1,1,1,1,1],[1,1,2,4,8,1,2,1,1,4,2,2,4,2,2,4,2,1,1,1,1,2,
1,2,2,2,4,4,2,1,1,1,1,1,1,1,1],[1,1,6,8,3,4,4,8,1,1,2,2,3,4,2,1,1,1,2,2,1],[1,
1,6,4,3,4,2,2,2,2,2,6,1,1,1,1,3,4,4,1,1,1,1,1,1,1,1],[1,1,2,4,1,2,1,1,2,2,2,4,
2,2,1,1,1,1,1,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,4,3,4,2,2,2,2,6,2,1,1,1,1,3,4,4,1,
1,1,1,1,1,1,1],[1,1,6,4,4,1,3,3,4,2,2,2,2,2,2,2,2,1,3,3,2,1,1,1,1,2,4,4,1,1,1,
1,1,1,1,1],[1,1,2,4,1,2,1,1,2,2,2,2,2,4,1,1,1,1,2,1,2,2,1,1,1,1,1,1,1,1],[1,1,
2,4,4,1,2,2,2,2,2,2,2,2,2,2,2,1,2,1,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,
1,2,2,2,1,2,4,1,2,1],[1,1,2,8,4,1,2,1,1,2,4,2,2,4,2,4,2,1,1,1,2,1,1,2,2,2,4,4,
2,1,1,1,1,1,1,1,1],[1,1,2,1,1,1,1,1,2,1,1,1,4,1,2,1],[1,1,2,1,1,1,1,1,2,1,1,1,
4,1,2,1],[1,1,6,3,4,4,1,1,2,2,3,2,1,1,1,1],[1,1,6,4,4,4,3,4,2,2,2,2,2,2,2,2,4,
2,2,8,8,1,1,1,1,1,1,1,4,4,4,4,4,4,1,1,1,1,1,1,1,1],[1,1,2,4,1,2,4,2,2,1,2,1,2,
1,2,2,1,1,1,1],[1,1,6,3,4,4,1,1,2,2,3,4,2,1,1,1,2,2,1],[1,1,2,8,4,1,4,4,2,4,4,
1,1,2,1,2,4,2,2,1,1,1,2,2,1],[1,1,2,4,4,1,1,1,1,1,2,2,2,2,2,2,2,2,2,1,1,1,2,1,
1,1,1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,8,4,1,4,4,2,4,4,1,1,2,1,2,2,4,2,1,1,1,
2,2,1],[1,1,2,4,4,1,6,2,2,2,2,2,2,2,2,1,4,2,1,1,1,1,4,1,1,1,1,1,1,1,1],[1,1,2,
4,4,1,2,2,2,2,2,2,4,2,4,1,1,1,1,2,1,4,4,1,1,1,1,1,1,1,1],[1,1,2,8,4,1,4,4,2,4,
4,1,1,2,1,2,2,2,4,1,1,1,2,2,1],[1,1,6,4,4,3,1,1,4,2,2,2,2,4,2,4,1,1,1,1,2,1,2,
2,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,2,4,4,8,1,2,2,2,4,2,2,2,2,8,2,2,8,8,1,2,1,1,4,
1,1,4,4,4,4,4,1,1,1,1,1,1,1,1],[1,1,2,4,8,4,1,2,4,2,2,2,4,2,2,4,4,2,8,8,1,1,1,
1,2,1,4,4,4,4,4,4,1,1,1,1,1,1,1,1],[1,1,6,4,1,3,3,1,1,4,2,2,2,4,1,3,1,3,1,1,1,
2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,8,4,1,4,4,2,4,4,1,1,2,1,2,2,4,2,1,1,1,2,2,1],[
1,1,2,4,4,1,2,2,2,2,2,4,2,4,2,1,1,1,1,1,2,4,4,1,1,1,1,1,1,1,1],[1,1,2,12,1,1,
1,6,6,4,8,1,1,1,1,1,2,3,2,2,3,2,6,4,6,1,1,1,2,1,1,1,2,1,2,2,1],[1,1,2,4,1,4,2,
4,1,1,1,2,2,2,2,1,1,1,1],[1,1,10,4,5,2,8,2,2,2,1,4,1,2,1,2,2,1,1,1,2,2,1],[1,
1,2,4,1,2,2,2,2,2,1,2,1,2,1,2,2,1,1,1,1],[1,1,2,8,4,4,1,2,2,4,2,2,2,4,2,4,4,2,
8,8,1,1,1,2,1,1,4,4,4,4,4,4,1,1,1,1,1,1,1,1],[1,1,2,4,1,4,2,4,1,1,2,1,2,2,2,1,
1,1,1],[1,1,6,3,4,2,2,1,1,2,2,3,2,1,1,1,1],[1,1,10,5,2,4,4,4,4,1,1,1,4,2,2,1,
1,1,1],[1,1,6,4,8,4,3,1,1,4,4,2,2,12,2,2,12,4,2,8,8,1,1,1,1,6,1,8,2,2,2,2,2,2,
4,4,4,4,4,1,1,1,1,1,1,1,4,4,1],[1,1,2,4,1,1,1,2,2,4,1,1,1,2,2,2,2,1,1,1,2,2,
1],[1,1,6,4,3,4,2,2,4,1,1,1,4,2,2,1,1,1,1],[1,1,2,4,1,6,2,2,1,4,2,1,2,1,2,2,1,
1,1,2,2,1],[1,1,4,4,10,1,2,2,1,5,8,4,4,2,1,2,1,1,1,1,2,1,1,2,1,1,1,1,1,1,1,
1],[1,1,4,4,6,1,2,2,3,3,4,4,1,2,3,3,1,1,1,1,2,1,1,1,1,1,1,1,1],[1,1,4,4,6,1,2,
2,3,3,4,4,1,2,3,3,1,1,1,1,2,1,1,1,1,1,1,1,1],[1,3,4,1,1,2,3,2,2,1,2,2,1,1,2,2,
1,1,1,1],[1,3,4,1,1,2,3,2,2,1,2,1,2,1,2,2,1,1,1,1],[1,1,4,4,2,1,2,2,5,1,4,4,1,
1,1,2,1,1,2,2,1,1,2,1,1,1,1,1,1,1,1],[1,3,4,1,3,3,2,2,3,2,1,1,2,2,1,1,1,1],[1,
3,4,1,3,3,2,2,3,1,2,1,2,2,1,1,1,1],[1,1,6,4,1,3,3,2,2,3,1,3,1,1,2,2,2,1,1,1,1,
1,1,1,1],[1,1,5,1,5,1,1,1],[1,1,5,1,5,1,1,1],[1,1,10,1,5,5,1,5,1,2,1,1,1,1],[
1,3,16,1,3,3,3,4,1,1],[1,1,6,4,3,4,6,6,4,1,3,3,1,4,3,1,1],[1,1,6,12,4,3,3,3,4,
6,12,4,4,4,1,3,3,6,6,1,4,3,1,1,1,1],[1,1,6,12,4,3,4,6,6,6,6,4,8,1,3,3,12,1,4,
3,1,2,1],[1,1,6,4,1,3,3,4,4,1,3,3,1,4,1,1,1],[1,1,6,8,4,3,4,4,12,12,4,8,1,6,8,
1,4,1,1,2,1],[1,1,6,8,4,3,4,4,12,12,4,8,1,6,8,1,4,1,1,2,1],[1,1,6,12,4,3,4,6,
6,6,6,4,8,1,3,3,12,1,4,3,1,2,1],[1,1,6,4,1,3,3,4,4,1,3,3,1,4,1,1,1],[1,1,6,4,
1,3,3,4,3,1,3,4,1,1,1],[1,3,4,6,6,4,3,1,3,3,3,3,3,6,6,4,4,4,1,3,3,3,3,3,3,1,4,
3,1,1,1,1],[1,3,4,6,6,4,3,1,3,3,3,3,3,6,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[
1,1,6,12,4,3,4,6,6,6,6,4,8,1,3,3,12,1,4,3,1,2,1],[1,1,6,4,1,3,3,4,1,3,3,4,1,1,
1],[1,1,6,12,4,3,4,6,6,6,6,4,8,1,3,3,12,1,4,3,1,2,1],[1,1,12,4,6,3,4,8,1,3,3,
4,3,1,1],[1,3,6,4,6,4,3,1,3,3,3,3,3,6,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,
3,6,4,6,4,3,1,3,3,3,3,3,6,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,6,4,1,3,3,
4,1,3,3,4,1,1,1],[1,1,4,3,6,4,1,3,3,4,3,1,1],[1,1,12,4,6,3,4,8,1,3,3,4,3,1,
1],[1,1,12,4,6,3,4,8,1,3,3,4,3,1,1],[1,1,12,4,6,3,4,8,1,3,3,4,3,1,1],[1,1,12,
4,3,6,4,4,4,1,3,3,4,3,1,1],[1,1,8,8,6,1,1,4,4,3,3,12,12,1,1,1,2,2,2,2,4,3,3,3,
6,1,1,1,1,1,1,1,2,2,2,2,3,1,1,1,1,1,1,1,1],[1,1,6,4,1,3,3,4,4,1,3,3,4,1,1,1,
1],[1,15,10,5,6,10,6,5,1],[1,1,30,1,15,15,20,40,5,10,15,15,20,30,60,5,10,15,
15,20,30,60,6,10,15,1],[1,1,6,1,3,3,4,6,6,12,1,3,3,6,6,12,12,1,3,3,4,6,6,12,3,
4,1],[1,1,6,24,1,3,3,4,12,12,24,32,1,3,3,4,4,6,6,8,12,12,12,12,12,12,24,24,1,
3,3,4,4,6,6,8,12,12,12,12,12,12,24,24,3,4,6,6,12,1],[1,1,18,8,9,6,8,16,4,12,
12,12,2,4,3,2,6,6,18,6,8,24,1,3,6,3,6,6,6,1,3,3,1],[1,1,6,1,3,3,4,1,3,3,12,1,
6,6,6,3,1],[1,1,18,8,9,6,8,16,4,12,12,12,2,4,3,2,6,6,18,6,8,24,1,3,6,3,6,6,6,
1,3,3,1],[1,1,10,16,5,2,8,8,4,4,24,8,24,2,1,2,2,12,4,4,4,16,8,8,8,16,2,1,1,1,
2,2,2,2,2,4,4,4,4,4,1,2,2,2,4,4,1],[1,1,6,1,3,3,4,2,2,4,1,3,3,2,2,4,4,8,1,1,1,
2,2,4,4,4,1,2,4,1],[1,1,14,1,7,7,4,8,1,2,7,3,4,6,12,8,1,2,1,1,4,2,4,4,4,4,1,2,
2,2,1],[1,1,10,16,5,2,8,8,4,4,24,24,8,2,1,2,2,12,4,4,4,16,8,8,8,16,2,1,1,1,2,
2,2,2,2,4,4,4,4,4,1,2,2,2,4,4,1],[1,1,10,8,5,2,2,2,8,4,16,8,2,1,2,2,4,4,8,8,8,
1,1,1,4,4,1,2,1],[1,1,14,8,1,7,7,4,2,2,8,4,4,4,8,1,2,7,3,4,2,6,2,2,2,4,12,4,4,
4,4,4,8,8,8,1,2,1,1,1,1,1,1,4,2,2,2,2,2,4,4,4,4,4,4,4,1,1,1,1,1,1,1,4,4,1],[1,
1,10,8,5,2,2,2,8,4,8,16,2,1,2,2,4,4,8,8,8,1,1,1,4,4,1,2,1],[1,1,6,8,1,3,3,4,4,
4,8,1,3,3,2,2,4,4,4,4,8,8,1,1,1,2,2,4,4,4,4,4,1,2,2,2,1],[1,1,2,1,6,2,2,4,1,4,
2,2,2,4,8,1,1,1,4,4,1,2,1],[1,1,2,1,6,2,2,4,1,4,2,2,2,4,8,1,1,1,4,4,1,2,1],[1,
1,10,5,2,8,4,4,8,8,2,1,2,2,4,4,4,4,1,1,1,2,2,4,1,1,1,1],[1,1,10,8,8,8,5,2,2,2,
8,4,4,4,12,12,4,12,8,12,4,16,16,2,1,2,2,6,6,4,4,2,2,8,8,4,4,4,8,4,8,4,4,8,8,8,
8,8,8,8,1,1,1,1,1,1,1,2,2,4,2,2,2,2,2,2,2,2,2,2,8,8,8,8,1,1,1,2,2,2,2,2,2,1],[
1,1,18,8,9,6,8,16,4,12,8,12,4,2,4,3,2,6,6,18,2,4,8,16,8,1,3,6,2,1,6,2,2,4,4,1,
1,2,1,2,1],[1,1,10,8,5,2,8,4,8,4,2,1,2,2,2,2,4,2,2,4,2,6,4,4,8,1,1,1,2,2,4,2,
2,4,4,4,4,1,1,1,2,2,1],[1,1,6,8,1,3,3,4,4,4,8,1,3,3,2,2,4,4,4,4,8,4,4,1,1,1,2,
2,2,2,4,4,4,4,1,1,1,2,2,1],[1,1,2,8,8,1,6,2,2,4,4,4,4,4,4,4,4,4,1,4,2,2,2,2,2,
2,2,4,4,4,4,4,4,8,4,4,4,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,1,1,1,2,2,2,2,
2,2,1],[1,1,6,8,8,8,1,3,3,4,4,4,4,4,4,4,4,4,8,4,4,16,16,1,3,3,2,2,4,2,2,4,4,2,
2,4,4,8,4,4,4,8,8,8,8,8,8,8,1,1,1,1,1,1,2,1,2,2,2,2,2,2,2,2,2,2,2,4,2,4,2,4,4,
1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,16,1,6,4,4,8,8,16,1,4,2,2,2,4,4,6,4,4,2,4,4,4,
1,1,1,4,4,2,2,4,4,4,4,1,1,1,2,2,1],[1,1,14,8,8,1,7,7,4,8,4,4,12,12,4,12,12,4,
1,2,7,3,4,6,4,6,6,12,2,2,8,8,12,8,8,8,8,1,1,1,2,1,1,4,2,1,1,4,2,2,2,2,6,2,2,2,
2,2,2,6,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,8,1,2,4,4,4,4,4,1,2,2,2,4,4,4,4,1,1,1,
2,2,2,2,1,1,1,1],[1,1,10,5,2,8,4,4,2,1,2,2,4,4,4,4,1,1,1,2,2,4,1,1,1,1],[1,1,
18,9,6,8,16,4,4,2,4,3,2,6,2,2,18,4,4,3,1,1,6,6,4,2,4,4,1,1,1,2,2,1],[1,1,2,8,
1,2,4,4,4,4,4,1,2,2,2,4,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,1,10,16,5,2,2,2,8,4,8,
8,16,2,1,2,2,4,4,4,6,4,4,2,4,8,4,4,8,1,1,1,4,4,2,2,4,4,4,4,1,1,1,2,2,1],[1,1,
2,8,8,1,2,4,8,4,4,4,4,1,2,2,2,2,2,2,4,2,2,6,4,8,4,4,1,1,1,2,2,2,2,2,2,4,4,4,4,
1,1,1,2,2,1],[1,1,6,8,8,1,3,3,4,2,2,4,4,4,4,4,4,4,4,4,1,3,3,2,2,4,2,4,2,4,2,2,
4,4,4,4,4,4,4,4,4,4,4,8,8,1,1,1,1,1,2,2,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,1,
1,1,1,1,1,1,2,2,2,2,1],[1,1,2,1,6,2,2,4,1,4,2,2,2,4,8,1,1,1,4,4,1,2,1],[1,1,
10,8,5,2,8,4,12,12,12,2,1,6,4,6,8,4,8,1,1,3,2,2,2,1,1,1,1],[1,1,2,8,1,2,4,4,4,
4,4,1,2,2,2,4,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,1,2,8,1,2,4,4,4,4,4,1,2,2,2,4,4,
4,4,1,1,1,2,2,2,2,1,1,1,1],[1,1,14,8,1,7,7,4,8,4,4,8,1,2,7,3,4,6,2,2,12,4,4,4,
4,8,4,1,2,1,1,1,1,4,2,2,2,4,2,4,2,2,4,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,1,2,8,8,1,
2,4,8,4,4,4,4,1,2,2,2,2,2,2,4,2,2,6,4,4,8,4,1,1,1,2,2,2,2,2,2,4,4,4,4,1,1,1,2,
2,1],[1,1,2,8,8,1,2,4,8,4,4,4,4,1,2,2,2,2,2,2,4,2,2,6,4,4,4,8,1,1,1,2,2,2,2,2,
2,4,4,4,4,1,1,1,2,2,1],[1,1,6,1,3,3,4,2,2,4,1,3,3,2,2,4,4,8,1,1,1,2,2,4,4,4,1,
2,2,2,1],[1,1,18,8,9,6,8,16,4,12,4,12,8,2,4,3,2,6,6,18,4,2,8,8,16,1,3,6,1,2,6,
4,2,2,4,1,1,2,1,2,1],[1,1,10,8,5,2,2,2,8,4,8,2,1,2,2,4,4,8,8,8,1,1,1,4,4,1,2,
1],[1,1,10,8,5,10,4,4,8,5,10,10,2,2,10,4,4,5,1,1,10,4,2,4,4,1,1,1,2,2,1],[1,1,
6,8,1,3,3,4,2,2,4,4,4,8,1,3,3,2,2,2,2,4,4,4,4,4,4,8,4,1,1,1,1,1,2,2,2,2,2,4,2,
2,4,1,1,1,2,2,1],[1,1,14,1,7,7,4,8,8,8,1,2,7,3,4,6,12,4,4,1,2,1,1,4,2,2,2,4,4,
4,1,1,1,2,2,1],[1,1,2,8,8,8,1,6,4,4,4,4,4,4,4,4,8,4,4,16,16,1,4,2,2,2,2,2,4,2,
2,4,8,4,4,4,8,8,8,8,8,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,2,2,2,2,1,1,1,2,2,2,2,2,
2,1],[1,1,10,8,5,2,8,4,12,12,12,2,1,6,4,6,8,4,8,1,1,3,2,2,2,1,1,1,1],[1,1,18,
8,9,6,8,2,2,16,4,8,2,4,3,2,2,6,2,18,4,8,4,8,3,1,1,6,4,6,2,4,4,1,1,1,2,2,1],[1,
1,2,8,8,1,2,4,8,4,4,4,4,1,2,2,2,2,2,2,4,2,2,6,4,4,8,4,1,1,1,2,2,2,2,2,2,4,4,4,
4,1,1,1,2,2,1],[1,1,10,8,5,2,8,4,12,4,12,8,2,1,6,4,4,2,8,4,8,1,1,1,2,2,2,2,1,
1,1,1],[1,1,2,8,1,6,2,2,8,4,1,4,2,2,2,2,2,2,2,4,2,6,4,4,8,1,1,1,2,2,2,2,4,4,4,
4,4,1,1,1,2,2,1],[1,1,10,8,5,2,8,4,12,8,12,4,2,1,6,4,2,4,8,4,8,1,1,2,1,2,2,2,
1,1,1,1],[1,1,14,1,7,7,4,2,2,8,4,1,2,7,3,4,2,6,2,4,12,4,4,1,2,1,1,1,1,4,2,2,2,
4,2,2,2,1,1,1,2,2,1],[1,1,10,5,10,2,2,4,5,10,2,10,2,10,4,4,5,1,1,10,2,4,4,4,1,
1,1,2,2,1],[1,1,2,1,1,1,1,1,2,4,4,1,1,1,2,2,4,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,
1,6,8,3,4,3,3,4,6,4,4,4,1,3,3,2,6,6,2,4,4,4,4,4,8,1,1,3,1,2,2,3,2,2,4,4,2,1,1,
1,2,2,1],[1,1,2,8,8,12,1,1,1,4,4,6,6,4,4,4,4,4,8,16,16,1,1,1,1,1,2,4,2,2,3,2,
2,3,2,6,4,2,4,4,6,4,2,8,8,8,1,1,1,1,1,2,2,1,2,1,1,1,1,2,1,2,2,2,2,4,2,4,2,2,2,
2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,6,12,12,4,1,3,3,1,1,4,6,6,2,2,2,14,14,2,
14,4,14,2,16,16,1,3,1,3,1,1,1,6,7,7,2,1,1,2,8,8,4,4,2,4,2,2,4,14,4,2,4,2,2,8,
8,4,8,4,4,4,1,1,1,1,1,1,1,1,1,2,1,1,1,1,2,1,1,7,1,1,1,1,1,1,1,1,1,1,6,1,4,4,4,
4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,10,12,4,4,5,2,4,1,1,4,2,6,2,2,2,2,
14,2,2,4,14,6,8,8,1,1,1,1,1,1,1,7,2,1,4,2,3,1,8,2,4,4,2,2,4,4,4,2,4,4,4,4,4,4,
4,8,4,12,1,1,1,1,1,1,1,1,1,1,2,1,1,1,2,3,1,1,1,1,1,1,1,1,1,1,2,1,1,1,4,4,4,4,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,6,8,12,3,4,4,6,6,4,12,4,4,8,1,1,1,3,3,2,
2,3,2,3,12,2,6,4,2,8,8,1,1,3,2,2,1,3,3,1,6,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,8,
8,1,1,1,1,1,4,4,2,4,4,4,4,1,1,1,4,2,2,4,4,4,4,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,
1,10,4,12,4,5,2,4,1,1,4,6,2,2,2,2,14,2,6,14,4,2,2,8,8,1,1,1,1,1,1,1,1,2,7,4,2,
1,3,8,2,4,4,2,2,4,4,4,4,2,4,12,4,4,4,4,4,4,8,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,2,1,1,1,1,3,1,2,1,2,1,1,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,
12,1,1,1,6,6,4,4,4,8,1,1,1,1,1,2,3,2,2,2,2,3,2,6,4,2,6,2,1,1,1,1,1,2,2,1,2,1,
1,1,1,2,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,4,4,4,1,3,3,1,1,4,2,2,2,2,2,2,2,6,2,
4,2,6,1,3,1,3,1,1,1,2,1,1,2,3,3,2,2,2,2,2,4,4,2,2,2,4,4,4,4,1,1,1,1,1,1,1,1,1,
1,1,2,1,1,1,2,1,1,1,1,1,2,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,
1,6,8,12,3,4,4,6,6,4,4,4,12,8,1,1,1,3,3,2,2,3,2,3,12,2,4,6,2,8,8,1,1,3,1,3,3,
1,2,2,6,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,8,3,4,3,3,4,6,4,4,4,1,3,3,6,2,6,2,4,4,
4,4,8,4,1,1,3,1,2,3,2,2,2,4,4,2,1,1,1,2,2,1],[1,1,10,1,5,5,1,5,5,5,1,2,5,1,1,
1,1,1,1,1],[1,1,18,16,9,6,8,16,16,2,4,3,2,6,18,4,8,3,6,6,4,8,8,1,1],[1,1,6,16,
3,4,3,3,6,16,1,3,3,6,6,4,1,3,3,4,1,1,1],[1,1,6,12,16,3,4,6,6,12,8,16,1,1,1,3,
3,2,3,3,12,6,4,8,3,3,3,6,4,4,4,8,1,1],[1,1,6,8,8,4,1,3,3,4,4,4,12,12,12,12,4,
8,8,1,3,3,4,6,6,8,8,12,1,4,4,4,1,1,1,6,6,1,2,2,4,1,1,1,1,1],[1,3,12,16,1,3,3,
6,6,16,3,6,3,3,6,6,4,1,3,3,4,3,1,1],[1,1,6,8,12,12,4,3,3,3,4,6,4,6,6,12,6,12,
12,6,24,24,4,4,4,8,8,1,3,3,6,3,3,8,6,6,6,6,6,6,12,12,12,12,12,1,4,4,4,8,8,1,3,
3,3,3,3,3,12,12,1,1,1,2,2,4,3,1,1,1,2,2,1],[1,1,6,12,4,1,3,3,3,3,4,6,6,6,12,4,
4,4,1,3,3,3,3,3,3,6,6,6,6,1,4,4,4,1,3,3,3,3,3,3,1,1,1,4,3,1,1,1,1],[1,1,6,20,
4,3,4,10,6,6,18,6,18,4,8,8,1,3,3,9,3,8,12,12,12,1,4,4,4,1,3,3,3,3,3,3,1,2,2,4,
3,1,1,1,1],[1,1,6,12,8,12,4,3,3,3,4,4,6,6,12,6,6,12,12,6,24,24,4,4,4,8,8,1,3,
3,3,6,3,8,6,6,6,6,6,6,12,12,12,12,12,1,4,4,4,8,8,1,3,3,3,3,3,3,12,12,1,1,1,2,
2,4,3,1,1,1,2,2,1],[1,3,12,16,1,3,3,6,6,16,3,3,6,3,6,6,4,1,3,3,4,3,1,1],[1,1,
6,12,12,4,1,3,3,4,6,6,6,6,6,6,6,6,4,8,8,1,3,3,6,3,3,3,3,6,12,12,1,4,4,4,1,3,3,
3,3,3,3,1,2,2,4,3,1,1,1,1],[1,1,6,20,4,3,4,10,6,6,18,18,6,4,8,8,1,3,3,9,3,8,
12,12,12,1,4,4,4,1,3,3,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,1,12,12,6,4,1,6,6,3,3,12,
12,4,8,8,1,6,3,3,3,3,3,3,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,6,12,12,4,
1,3,3,4,6,6,6,6,6,6,6,6,4,8,8,1,3,3,6,3,3,3,3,6,12,12,1,4,4,4,1,3,3,3,3,3,3,1,
2,2,4,3,1,1,1,1],[1,1,12,12,6,4,1,6,6,3,3,12,12,4,8,8,1,6,3,3,3,3,3,3,6,4,4,4,
1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,6,12,4,1,3,3,6,6,4,4,4,3,1,3,3,3,6,6,6,4,4,
4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,10,15,6,10,5,6,10,6,5,1],[1,1,10,15,6,10,
5,6,10,6,5,1],[1,1,30,10,15,20,6,10,10,10,5,6,12,10,5,6,5,1,1],[1,1,30,8,8,1,
15,15,20,40,4,4,12,12,12,12,12,12,5,10,15,15,20,30,4,6,6,60,6,6,8,8,12,24,24,
24,24,5,1,1,10,15,15,20,30,3,3,60,6,6,6,6,6,6,6,6,6,6,6,6,6,1,10,15,3,3,3,3,3,
3,3,6,6,6,6,6,1,1,1,3,3,3,3,1],[1,1,14,8,1,7,7,4,2,2,8,4,4,4,8,1,2,7,3,4,2,6,
2,2,2,4,12,4,4,4,4,4,8,8,8,16,1,2,1,1,1,1,1,1,4,2,2,2,2,2,4,4,4,4,4,4,4,8,8,8,
1,1,1,1,1,1,1,4,4,4,4,4,1,2,2,2,1],[1,1,30,8,1,15,15,20,2,2,40,4,4,4,8,5,10,
15,15,20,2,30,2,2,2,4,60,4,4,4,4,4,8,8,8,8,5,10,15,15,1,1,1,1,20,30,2,2,2,2,4,
60,4,4,4,4,4,4,4,4,8,8,8,8,6,10,1,15,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,8,1,1,1,
2,2,2,2,2,2,1],[1,1,14,24,1,7,7,4,2,2,8,4,12,12,24,32,1,2,7,3,4,4,4,2,6,2,6,6,
8,4,12,12,4,12,12,12,12,12,24,8,8,24,8,1,2,1,1,1,3,1,3,4,4,4,2,6,2,2,6,8,4,4,
4,12,12,4,4,12,12,4,4,12,12,4,24,8,8,8,8,24,1,1,1,1,1,1,3,4,6,2,6,2,2,4,4,4,4,
4,12,4,4,4,8,1,1,1,2,2,2,2,2,2,1],[1,1,14,8,1,7,7,4,2,2,8,4,4,4,16,8,16,1,2,7,
3,4,2,6,2,2,2,4,12,4,4,4,8,8,4,4,8,8,8,1,2,1,1,1,1,1,1,4,2,4,4,2,2,2,2,4,4,8,
8,4,4,4,4,4,1,1,1,1,1,1,1,2,2,4,4,4,4,1,1,1,2,2,1],[1,1,14,8,1,7,7,4,6,6,8,12,
4,4,8,1,2,7,3,4,6,6,6,2,2,12,12,12,4,4,4,4,8,8,8,8,1,2,1,1,3,1,3,1,4,4,2,2,6,
6,2,4,4,4,12,4,4,4,4,4,4,4,1,1,1,1,3,1,1,4,2,4,4,4,4,4,4,4,1,1,1,2,2,1],[1,1,
14,8,1,7,7,4,2,2,8,4,4,4,8,1,2,7,3,4,2,6,2,2,2,4,12,4,4,4,4,4,8,8,8,8,8,1,2,1,
1,1,1,1,1,4,2,2,2,2,2,4,4,4,4,4,4,4,4,4,8,8,1,1,1,1,1,1,1,2,2,4,4,4,4,1,1,1,2,
2,1],[1,1,14,16,16,8,1,7,7,4,2,2,8,8,8,4,4,4,24,24,8,24,8,24,8,32,32,1,2,7,3,
4,2,6,2,2,2,8,12,4,12,12,4,4,4,4,4,4,4,16,16,8,8,8,8,8,8,8,8,24,8,8,8,8,8,8,8,
16,16,16,16,16,16,16,16,16,1,2,2,2,1,1,1,1,1,1,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,8,8,8,8,8,8,
16,16,16,16,2,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,2,2,2,2,2,2,4,4,4,4,1],[1,1,10,
16,5,2,2,2,8,4,8,8,16,16,2,1,2,2,4,4,4,6,4,8,4,2,4,8,4,4,8,8,1,1,1,4,4,4,2,2,
4,4,4,4,4,1,1,2,1,2,2,2,1,1,1,1],[1,1,10,16,5,2,2,2,8,4,8,16,8,16,2,1,2,2,4,4,
4,6,4,8,4,2,4,8,4,4,8,8,1,1,1,4,4,4,2,2,4,4,4,4,4,1,1,2,1,2,2,2,1,1,1,1],[1,1,
6,8,8,1,3,3,4,6,6,4,4,12,4,4,4,4,4,4,1,3,3,6,6,4,2,12,2,12,2,2,4,4,4,4,4,4,4,
4,4,4,4,8,8,8,1,3,3,4,1,1,6,6,1,1,2,2,2,2,2,2,2,2,2,2,2,12,2,4,4,4,4,4,4,4,3,
4,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,1],[1,1,6,8,8,1,3,3,4,2,2,4,4,4,
4,4,4,4,4,4,1,3,3,2,2,4,2,4,2,4,2,2,4,4,4,4,4,4,8,4,4,4,4,4,8,8,8,1,1,1,1,1,2,
2,1,1,2,2,2,2,2,2,2,2,4,2,2,2,2,4,4,4,4,4,4,4,4,4,1,1,1,1,2,1,1,1,2,2,2,2,2,2,
4,2,1,1,1,2,2,1],[1,1,18,16,9,6,8,16,8,4,4,24,16,24,8,2,4,3,2,6,2,2,12,18,4,8,
4,16,8,4,8,8,32,16,2,3,1,1,2,2,6,2,4,2,2,6,4,8,4,8,4,4,4,2,4,4,1,1,1,1,2,2,4,
3,2,4,4,2,2,2,1,1,1,1,1,1,1,1],[1,1,10,16,8,5,2,8,8,4,8,4,24,8,24,2,1,2,2,2,2,
12,4,2,2,4,4,2,6,16,8,4,4,4,8,8,8,4,16,2,1,1,1,2,2,2,2,2,4,2,4,4,2,2,2,4,4,2,
2,4,4,4,4,4,4,4,4,1,1,1,2,2,2,1,1,4,4,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,14,8,
8,1,7,7,4,8,4,4,12,12,12,12,12,12,1,2,7,3,4,6,4,6,6,12,6,6,8,8,12,8,8,8,8,8,1,
1,1,2,1,1,4,2,3,3,4,2,2,2,6,6,2,4,6,2,2,2,2,4,4,6,1,1,2,1,1,1,1,1,1,2,2,3,2,2,
2,2,2,1,1,1,1,1,1,1,1],[1,1,18,8,8,8,9,6,8,2,2,16,4,4,4,12,12,4,12,8,12,20,16,
16,2,4,3,2,2,6,2,6,6,18,4,10,2,8,8,4,4,4,8,4,4,8,4,4,8,8,8,8,8,24,16,8,1,1,3,
1,1,6,1,5,2,2,4,6,2,2,4,2,6,2,2,2,2,6,4,2,2,4,4,8,8,8,8,1,1,1,3,4,2,1,2,2,2,2,
2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,8,8,24,1,3,3,4,4,4,12,12,4,4,4,4,24,4,4,32,
16,16,1,3,3,4,4,6,6,8,4,2,2,12,12,12,2,2,12,12,12,24,4,4,4,24,4,4,8,8,8,8,8,8,
8,1,3,3,4,4,1,1,1,6,1,6,8,2,2,2,2,2,2,2,2,2,2,12,12,2,2,12,12,2,12,2,12,24,4,
4,4,4,4,4,4,4,24,4,4,4,4,3,4,1,1,1,1,6,1,1,1,6,1,2,2,2,2,2,2,2,2,2,2,12,2,2,2,
2,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,6,8,8,8,1,3,3,4,4,4,4,4,4,4,4,4,8,4,4,
16,16,1,3,3,2,2,4,2,2,4,4,2,2,4,4,8,4,4,4,8,4,4,8,8,8,8,8,8,8,1,1,1,1,1,1,2,1,
2,2,2,2,2,2,2,2,2,4,2,2,2,2,4,2,4,4,4,2,4,4,4,4,1,1,1,1,1,1,1,1,2,2,2,1,2,2,2,
2,2,2,1,1,1,1,1,1,1,1],[1,1,18,8,8,8,9,6,8,2,2,16,4,4,4,12,12,20,12,8,12,4,16,
16,2,4,3,2,2,6,2,6,6,18,4,2,10,8,8,4,4,4,8,4,4,8,4,4,16,8,8,24,8,8,8,8,1,1,3,
1,1,6,5,1,2,2,4,6,2,2,2,2,6,2,6,2,2,4,4,2,2,4,4,8,8,8,8,1,1,1,1,2,3,4,2,2,2,2,
2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,8,8,8,1,6,2,2,4,4,8,4,4,4,4,4,4,4,1,4,2,2,2,
2,2,2,2,2,2,4,2,2,2,6,4,4,4,4,4,8,4,8,4,8,4,4,4,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,
2,2,4,2,2,2,2,2,4,2,4,4,4,4,4,4,4,4,1,1,2,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,
1,1,1,1,1],[1,1,2,8,8,8,1,6,2,2,4,4,8,4,4,4,4,4,4,4,1,4,2,2,2,2,2,2,2,2,2,4,2,
2,2,6,4,4,4,4,4,4,8,4,8,4,8,4,4,1,1,1,1,1,1,1,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,
4,2,4,4,4,4,4,4,4,4,1,2,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,
10,16,8,5,2,8,8,4,8,4,24,24,8,2,1,2,2,2,2,12,4,2,2,4,4,2,6,16,4,4,8,4,8,8,8,4,
16,2,1,1,1,2,2,2,2,2,4,4,2,4,4,2,2,2,4,2,2,4,4,4,4,4,4,4,4,1,1,2,2,1,1,1,2,2,
4,2,4,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,10,5,10,2,2,4,5,10,2,10,2,10,4,8,4,8,5,1,
1,10,4,2,4,4,4,4,1,1,2,1,2,2,2,1,1,1,1],[1,1,10,5,10,2,2,4,5,10,2,10,2,10,4,4,
8,8,5,1,1,10,4,2,4,4,4,4,1,1,2,1,2,2,2,1,1,1,1],[1,1,14,8,1,7,7,4,2,2,8,4,4,4,
8,1,2,7,3,4,2,6,2,2,2,4,12,4,4,4,4,4,8,16,1,2,1,1,1,1,1,1,4,2,2,2,2,2,4,8,4,8,
8,4,4,4,4,4,1,1,1,2,2,2,4,2,2,4,2,2,2,2,2,2,2,4,1,1,1,1,1,1,1,1],[1,1,18,16,9,
6,8,16,8,4,4,24,8,24,16,2,4,3,2,6,2,2,12,18,8,4,4,16,8,4,8,8,16,32,2,3,1,1,2,
6,2,2,4,2,2,6,4,8,4,8,4,4,4,2,4,4,1,1,1,2,4,2,3,1,2,4,4,2,2,2,1,1,1,1,1,1,1,
1],[1,1,10,5,10,16,5,10,10,10,16,5,10,1,1],[1,1,18,24,16,9,6,8,6,6,16,12,24,
16,16,16,2,4,3,2,6,6,6,18,12,24,12,24,4,8,16,3,3,3,6,12,6,6,12,12,4,4,4,8,8,1,
3,3,6,6,4,8,3,1,1],[1,1,18,24,16,9,6,8,16,12,36,24,36,12,16,32,2,4,3,2,6,18,
18,6,12,24,48,24,4,8,16,3,3,6,6,3,6,6,6,12,12,4,8,8,8,16,1,3,6,3,6,4,8,3,1,
1],[1,1,18,8,16,9,6,8,16,4,12,12,12,16,32,2,4,3,2,6,6,18,6,8,24,4,8,16,1,3,6,
3,6,6,6,4,8,8,8,1,3,3,4,1,1,1],[1,1,18,8,16,9,6,8,16,4,12,12,12,16,32,2,4,3,2,
6,6,18,6,8,24,4,8,16,1,3,6,3,6,6,6,4,8,8,8,1,3,3,4,1,1,1],[1,1,18,24,16,9,6,8,
16,12,36,12,36,24,16,32,2,4,3,2,6,18,18,12,6,24,24,48,4,8,16,3,3,6,3,6,6,12,6,
6,12,4,8,8,8,16,1,3,6,3,6,4,8,3,1,1],[1,1,18,16,9,6,8,16,12,12,16,2,4,3,2,6,6,
6,18,12,12,4,8,16,3,3,3,6,6,12,6,12,12,4,8,8,1,3,3,6,6,4,8,3,1,1],[1,1,30,16,
1,15,15,20,40,16,5,10,15,15,20,30,60,4,8,16,5,10,15,15,20,30,60,4,8,8,6,10,15,
4,8,8,1,1,1],[1,1,6,24,12,16,3,4,12,6,6,12,12,12,12,8,16,32,1,1,1,3,3,2,6,3,6,
3,12,6,12,6,6,24,24,4,16,8,3,3,3,3,3,3,3,6,6,6,6,6,6,6,4,4,4,8,8,1,3,3,3,3,3,
3,4,4,4,3,1,1],[1,1,6,24,12,16,3,4,12,6,6,12,12,12,12,8,16,32,1,1,1,3,3,2,6,3,
6,3,12,6,6,12,6,24,24,4,8,16,3,3,3,6,6,3,3,3,3,6,6,6,6,6,4,4,4,8,8,1,3,3,3,3,
3,3,4,4,4,3,1,1],[1,1,6,24,16,3,4,3,3,12,6,12,12,12,16,32,1,3,3,6,6,6,6,12,12,
12,12,24,12,4,16,1,3,3,3,6,3,6,6,6,12,12,6,4,8,1,3,3,6,6,1,4,3,1,2,1],[1,1,6,
16,1,3,3,4,6,6,12,16,1,3,3,6,6,12,12,4,16,1,3,3,4,6,6,12,4,3,4,1,4,1,1,1],[1,
1,6,24,16,3,4,3,3,12,6,12,12,12,16,32,1,3,3,6,6,6,6,12,12,12,12,12,24,4,16,1,
3,3,3,6,6,3,6,6,12,12,6,4,8,1,3,3,6,6,1,4,3,1,2,1],[1,1,6,24,16,1,3,3,4,12,12,
24,32,16,1,3,3,4,4,6,6,8,12,12,12,12,12,12,24,24,4,16,8,1,3,3,4,4,6,6,8,12,12,
12,12,12,12,24,24,4,4,4,8,3,4,6,6,12,4,4,4,8,1,1,1],[1,1,6,20,20,12,4,1,3,3,3,
3,4,10,10,6,6,6,18,18,6,18,12,18,6,48,48,4,4,4,8,8,8,8,1,3,3,3,3,3,3,10,9,9,6,
3,3,6,8,8,12,12,6,12,6,6,12,18,12,6,12,6,6,24,24,12,24,12,12,12,1,4,4,4,4,4,4,
4,8,8,8,8,1,1,1,3,3,3,3,3,3,6,3,3,3,3,6,3,3,9,3,3,3,3,3,3,3,3,3,3,6,3,12,12,
12,12,12,12,1,1,1,2,2,2,2,4,4,4,4,4,4,4,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,1,
1,1,1,2,2,2,2,4,3,1,1,1,1,1,1,1,1],[1,1,6,16,1,3,3,4,16,1,3,3,12,4,16,1,6,6,6,
4,3,4,1,1],[1,1,20,10,10,15,6,10,20,20,5,15,15,6,10,10,10,15,6,5,10,6,5,1,1],[
1,1,20,10,10,15,6,10,20,20,5,15,15,6,10,10,10,15,6,5,10,6,5,1,1],[1,1,30,10,1,
15,15,6,10,10,10,5,15,15,6,12,10,10,10,5,6,6,6,5,10,6,5,1,1],[1,1,30,10,1,15,
15,6,10,10,10,5,15,15,6,12,10,10,10,5,6,6,6,5,10,6,5,1,1],[1,1,20,10,10,15,6,
10,20,20,5,15,15,6,10,10,10,15,6,5,10,6,5,1,1],[1,1,20,10,10,15,6,10,20,20,5,
15,15,6,10,10,10,15,6,5,10,6,5,1,1],[1,1,30,10,1,15,15,20,6,10,10,10,5,15,15,
6,12,10,10,5,10,5,6,6,6,5,10,6,5,1,1,1],[1,1,30,24,1,15,15,20,6,6,40,12,12,12,
24,32,5,10,15,15,20,4,4,6,30,6,6,6,8,12,60,12,12,12,12,12,12,12,24,24,24,24,
24,5,10,15,15,3,3,3,3,4,4,20,4,30,6,6,6,6,8,12,60,12,12,12,12,12,12,12,12,12,
12,12,12,12,24,24,24,24,24,24,6,10,3,15,3,3,3,3,3,4,4,6,6,6,6,6,6,6,12,12,12,
12,12,12,12,12,12,12,12,12,24,1,1,1,2,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,3,3,3,6,
1],[1,1,14,24,1,7,7,4,2,2,8,4,12,12,16,24,16,32,1,2,7,3,4,4,4,2,6,2,6,6,8,4,
12,12,4,12,12,8,8,12,12,12,24,8,8,24,8,16,1,2,1,1,1,3,1,3,4,4,4,2,4,4,6,2,2,6,
8,4,4,8,4,8,12,12,4,4,12,12,4,4,12,12,4,24,8,8,8,8,8,8,24,8,1,1,1,1,1,1,3,4,6,
2,2,2,6,2,4,2,4,4,4,4,4,4,4,4,12,4,4,4,4,8,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,1,
1,1,2,2,1],[1,1,14,8,1,7,7,4,6,6,8,12,4,4,16,8,16,1,2,7,3,4,6,6,6,2,2,12,12,
12,4,4,8,8,4,4,8,8,8,8,8,8,1,2,1,1,3,1,3,1,4,4,2,4,4,2,6,6,2,4,4,8,4,4,8,4,12,
4,4,4,4,4,4,4,8,8,1,1,1,1,3,1,1,4,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,1,
1,2,2,2,2,2,2,1,1,1,1],[1,1,14,16,16,24,1,7,7,4,2,2,8,8,8,4,12,12,24,24,8,24,
24,24,8,32,32,32,1,2,7,3,4,4,4,2,6,2,6,6,8,8,12,4,12,12,12,4,12,12,4,4,12,12,
12,16,16,8,8,24,8,8,8,8,8,8,24,8,8,8,24,8,8,8,8,8,8,16,16,16,16,16,16,16,16,
16,1,2,2,2,1,1,1,3,1,3,4,4,4,2,2,2,2,2,2,2,2,6,2,2,2,6,2,2,8,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,12,4,4,4,4,4,4,4,12,12,4,4,4,4,12,12,4,4,4,4,4,12,4,12,12,4,24,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,24,8,8,8,8,16,16,16,16,2,1,1,1,1,1,1,3,4,2,2,2,
2,2,2,6,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,4,4,4,4,4,4,4,4,8,8,8,8,8,1,1,1,1,1,1,
1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,1,1,1,2,2,2,2,2,
2,1],[1,1,14,16,16,8,1,7,7,4,6,6,8,8,8,12,4,4,24,24,8,24,8,24,8,32,32,1,2,7,3,
4,6,6,6,2,2,8,12,12,12,12,12,4,4,4,4,4,4,16,16,8,8,8,8,8,8,8,8,24,8,8,8,8,8,8,
8,8,16,16,16,16,16,16,16,16,16,16,1,2,2,2,1,1,3,1,3,1,4,4,2,2,2,2,2,2,2,2,2,6,
2,6,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,4,4,4,4,4,4,12,4,4,4,4,4,4,4,4,4,4,4,
12,4,8,8,8,8,8,8,8,8,8,16,16,16,16,2,1,1,1,1,3,1,1,4,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,8,8,8,8,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,1,1,1,2,2,1],[1,
1,30,16,16,8,1,15,15,20,2,2,40,8,8,4,4,4,24,24,24,24,8,24,24,32,32,5,10,15,15,
20,2,30,2,2,2,8,12,4,12,60,4,4,4,12,12,4,4,16,16,8,8,8,8,8,8,8,8,24,8,8,8,8,8,
8,8,8,48,16,16,48,16,16,48,48,16,5,2,2,10,15,15,1,1,1,1,20,2,2,2,30,2,2,6,6,2,
2,2,2,2,2,2,4,4,4,60,4,4,4,12,4,12,12,12,4,12,4,12,4,4,4,12,12,4,12,4,4,12,12,
4,4,4,4,4,12,4,8,8,8,8,8,8,8,8,8,8,16,16,16,16,6,2,10,1,15,1,1,1,1,1,2,2,2,2,
6,2,6,6,2,6,6,2,6,2,2,2,2,6,2,2,2,2,4,4,12,4,4,4,4,4,12,4,4,4,4,4,12,4,4,4,4,
4,4,4,12,4,4,4,4,4,4,4,4,4,12,4,4,8,1,2,2,1,1,1,1,1,1,2,2,6,2,2,6,2,2,2,2,6,2,
6,2,2,2,2,2,2,2,4,4,4,4,2,1,1,1,2,2,2,2,2,1],[1,1,30,8,1,15,15,20,2,2,40,4,4,
4,8,5,10,15,15,20,2,30,2,2,2,4,60,4,4,4,4,4,8,8,8,8,8,8,16,5,10,15,15,1,1,1,1,
20,30,2,2,2,2,4,60,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,6,10,1,15,1,1,1,1,1,
2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,8,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,1,1,1,2,
2,1],[1,1,30,1,15,15,20,40,16,5,10,15,15,20,30,60,16,5,10,15,15,20,30,60,16,6,
10,15,1,1,1],[1,1,10,40,5,10,20,20,40,16,5,10,10,10,10,10,20,20,16,32,5,5,5,
10,20,10,20,20,16,1,5,5,10,10,5,1,1],[1,1,10,5,10,10,10,20,16,5,10,10,10,10,
10,20,20,16,5,5,5,10,10,20,20,20,16,1,5,5,10,10,5,1,1],[1,1,30,24,16,1,15,15,
20,6,6,40,12,12,12,24,16,16,16,5,10,15,15,20,6,30,6,6,6,12,60,12,12,12,12,12,
24,24,24,24,4,8,16,16,16,5,10,15,15,3,3,3,3,20,30,6,6,6,6,12,60,12,12,12,12,
12,12,12,12,24,24,24,24,4,4,4,8,8,16,6,10,3,15,3,3,3,3,3,6,6,6,12,12,12,12,12,
12,12,12,24,4,4,4,8,8,8,8,1,3,3,6,6,6,6,6,6,1,4,8,3,1,1,1,1],[1,1,18,32,16,9,
6,8,16,16,12,12,48,24,48,24,16,32,32,2,4,3,2,6,6,6,24,18,12,12,12,32,24,12,24,
24,48,48,4,8,16,16,16,4,3,3,3,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,6,12,12,4,
8,8,8,8,16,16,1,3,3,3,6,6,6,3,6,12,12,6,6,6,4,4,4,8,8,1,3,3,3,3,3,3,1,4,3,1,1,
1,1],[1,1,30,8,8,16,1,15,15,20,40,4,4,12,12,12,12,12,12,16,32,32,5,10,15,15,
20,30,4,6,6,60,6,6,8,8,12,24,24,24,24,4,8,16,16,16,5,1,1,10,15,15,20,30,3,3,
60,6,6,6,6,6,6,6,6,6,6,6,6,4,8,8,8,8,16,6,1,10,15,3,3,3,3,3,3,3,6,6,6,6,6,4,4,
4,8,8,1,1,1,3,3,3,3,1,4,1,1,1,1,1],[1,1,18,8,24,24,16,9,6,8,6,6,16,12,4,12,36,
12,36,36,24,12,12,48,48,16,16,16,32,32,2,4,3,2,6,6,6,6,18,18,12,6,18,8,24,12,
12,12,24,12,12,24,12,12,48,24,24,24,24,24,24,24,4,8,16,16,16,32,32,3,1,3,3,3,
6,9,3,6,6,12,6,6,6,6,6,6,6,6,6,6,12,12,6,6,12,12,24,24,24,24,4,4,4,8,8,8,8,16,
16,1,3,3,3,6,3,6,6,6,6,6,6,6,6,6,6,4,4,4,8,8,8,8,1,3,3,3,3,3,3,1,4,3,1,1,1,
1],[1,1,30,24,24,16,1,15,15,20,40,12,12,36,36,36,36,36,36,16,32,32,5,10,15,15,
20,30,12,18,18,60,18,18,24,24,36,72,72,72,72,4,8,16,16,16,5,3,3,10,15,15,20,
30,9,9,60,18,18,18,18,18,18,18,18,18,18,18,18,4,8,8,8,8,16,16,16,6,3,10,15,9,
9,9,9,9,9,9,18,18,18,18,18,4,4,4,8,8,8,8,1,3,3,9,9,9,9,1,4,8,3,1,1,1,1],[1,1,
18,32,16,9,6,8,16,16,12,12,48,24,48,24,16,32,32,2,4,3,2,6,6,6,24,18,12,12,12,
32,24,12,24,24,48,48,4,8,16,16,16,4,3,3,3,6,6,6,6,6,6,6,6,12,12,12,12,12,12,
12,6,12,12,4,8,8,8,8,16,16,1,3,3,6,6,6,3,3,6,12,12,6,6,6,4,4,4,8,8,1,3,3,3,3,
3,3,1,4,3,1,1,1,1],[1,1,18,24,8,24,16,9,6,8,6,6,16,4,12,12,12,36,12,12,24,36,
36,48,48,16,16,16,32,32,2,4,3,2,6,6,6,18,6,18,12,18,6,24,8,12,12,12,24,12,12,
24,12,12,24,24,24,24,24,24,48,24,4,8,16,16,16,32,32,1,3,3,3,3,6,3,9,6,6,12,6,
6,6,12,6,6,6,6,6,6,6,12,6,6,12,12,24,24,24,24,4,4,4,8,8,8,8,16,16,1,3,3,3,6,6,
3,6,6,6,6,6,6,6,6,6,4,4,4,8,8,8,8,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,6,24,24,
16,1,3,3,4,6,6,12,12,12,12,12,12,12,12,12,16,32,32,1,3,3,6,6,12,6,12,6,12,6,6,
12,12,12,12,12,12,12,12,12,12,12,24,24,24,4,16,16,16,1,3,3,4,3,3,6,6,3,3,6,6,
6,6,6,6,6,6,6,6,6,12,6,12,12,12,12,12,12,12,4,8,8,16,3,4,3,3,3,3,3,3,6,6,6,6,
6,6,6,12,12,12,12,1,4,4,4,1,3,3,6,6,1,2,2,4,3,1,1,1,1],[1,1,6,24,24,24,16,1,3,
3,4,12,12,12,12,12,12,12,12,24,12,12,32,48,48,16,32,32,1,3,3,4,4,6,6,8,12,6,6,
12,12,12,6,6,12,12,12,24,12,12,12,24,12,12,24,24,24,24,24,24,24,4,16,16,8,16,
1,3,3,4,4,3,3,3,6,3,6,8,6,6,6,6,6,6,6,6,6,6,12,12,6,6,12,12,6,12,6,12,24,12,
12,12,12,12,12,12,12,24,12,12,12,12,4,4,4,8,8,8,16,3,4,3,3,3,3,6,3,3,3,6,3,6,
6,6,6,6,6,6,6,6,6,12,6,6,6,6,12,12,12,12,4,4,4,4,4,4,4,4,4,8,1,3,3,3,3,3,3,6,
6,6,6,1,4,4,4,3,1,1,1,1],[1,1,20,20,30,10,1,10,10,15,15,60,60,6,10,10,10,20,
20,20,20,5,10,15,15,15,15,15,15,30,6,12,10,10,10,10,10,10,10,20,20,20,20,5,15,
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],[
1,1,20,20,30,10,1,10,10,15,15,60,60,6,10,10,10,20,20,20,20,5,10,15,15,15,15,
15,15,30,6,12,10,10,10,10,10,10,10,20,20,20,20,5,15,15,15,15,15,15,6,6,6,5,10,
10,10,10,10,10,10,15,6,6,6,5,5,5,10,6,5,1,1,1,1,1],[1,1,30,16,16,24,1,15,15,
20,6,6,40,8,8,12,12,12,24,24,24,24,24,24,24,32,32,32,5,10,15,15,20,4,4,6,30,6,
6,6,8,8,12,12,12,60,12,12,12,12,12,12,12,12,12,16,16,8,8,24,8,8,24,8,8,8,24,
24,8,8,24,8,24,8,8,8,8,48,16,16,48,16,16,16,48,48,16,5,2,2,10,15,15,3,3,3,3,4,
4,20,4,2,2,2,30,2,2,6,6,6,6,2,6,6,2,2,8,4,4,12,60,4,4,4,12,4,12,12,12,4,4,12,
4,12,4,12,4,12,12,12,12,4,12,12,12,12,12,12,12,12,4,12,12,12,4,12,12,12,24,24,
8,8,8,8,24,8,8,8,8,24,8,8,8,8,24,8,8,24,8,8,8,8,8,16,16,16,16,6,2,10,3,15,3,3,
3,3,3,4,4,6,2,2,2,2,6,2,6,2,6,6,2,6,6,2,6,2,2,6,6,6,6,6,6,2,2,2,2,4,4,4,12,4,
4,4,4,4,4,12,12,4,12,4,4,4,12,4,4,4,4,4,12,12,4,12,12,4,4,4,12,4,4,4,4,4,12,4,
4,12,4,12,12,4,4,12,12,4,4,4,12,8,8,8,8,8,8,8,8,24,1,1,1,2,2,2,1,3,3,1,1,3,1,
3,1,1,2,2,6,6,2,2,2,6,6,2,2,6,2,6,2,2,2,2,2,2,6,2,2,2,6,2,6,6,6,2,2,6,2,2,6,2,
6,6,4,4,4,4,4,4,4,4,4,4,4,4,2,1,3,3,1,3,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,
2,1,1,1,1,1,1,1,1],[1,1,30,40,1,15,15,20,10,10,40,20,20,20,40,16,5,10,15,15,
20,10,30,10,10,10,20,60,20,20,20,20,20,40,40,40,40,16,32,5,10,15,15,5,5,5,5,
20,30,10,10,10,10,20,60,20,20,20,20,20,20,20,20,40,40,40,40,16,16,16,6,10,5,
15,5,5,5,5,5,10,10,10,20,20,20,20,20,20,20,20,40,16,1,5,5,10,10,10,10,10,10,5,
1,1,1,1,1],[1,1,10,5,10,10,10,20,16,5,10,10,10,10,10,20,40,20,40,16,5,5,5,10,
20,10,20,20,20,20,16,1,5,10,5,10,10,10,16,5,5,5,5,1,1,1],[1,1,10,5,10,10,10,
20,16,5,10,10,10,10,10,20,20,40,40,16,5,5,5,10,20,10,20,20,20,20,16,1,5,10,5,
10,10,10,16,5,5,5,5,1,1,1],[1,1,30,24,64,1,15,15,20,6,6,40,12,12,12,24,32,64,
5,10,15,15,20,4,4,6,30,6,6,6,8,12,60,12,12,12,12,12,12,12,24,24,24,24,24,16,
32,64,32,5,10,15,15,3,3,3,3,4,4,20,4,30,6,6,6,6,8,12,60,12,12,12,12,12,12,12,
12,12,12,12,12,12,24,24,24,24,24,24,16,32,16,32,16,32,6,10,3,15,3,3,3,3,3,4,4,
6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,12,24,4,16,32,32,16,16,32,1,1,
1,2,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,4,4,4,3,3,3,6,4,4,4,8,1,1],[1,1,30,32,32,24,
16,1,15,15,20,6,6,40,16,16,12,12,12,48,48,48,48,24,48,48,96,96,16,16,16,32,32,
32,32,5,10,15,15,20,6,30,6,6,6,16,24,12,24,60,12,12,12,24,24,12,12,32,32,24,
24,24,24,24,24,24,24,48,24,24,24,24,24,24,24,24,96,48,48,96,48,48,96,96,48,4,
8,16,16,16,16,16,16,16,32,32,32,32,5,4,4,10,15,15,3,3,3,3,20,6,6,6,30,6,6,12,
12,6,6,6,6,6,6,6,12,12,12,60,12,12,12,24,12,24,24,24,12,24,12,24,12,12,12,24,
24,12,24,12,12,24,24,12,12,12,12,12,24,12,24,24,24,24,24,24,24,24,24,24,48,48,
48,48,4,4,4,8,8,8,8,8,8,16,16,16,16,16,16,16,16,16,6,4,10,3,15,3,3,3,3,3,6,6,
6,6,12,6,12,12,6,12,12,6,12,6,6,6,6,12,6,6,6,6,12,12,24,12,12,12,12,12,24,12,
12,12,12,12,24,12,12,12,12,12,12,12,24,12,12,12,12,12,12,12,12,12,24,12,12,24,
4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,8,16,1,4,4,3,3,3,3,3,3,6,6,12,6,6,12,6,6,6,6,
12,6,12,6,6,6,6,6,6,6,12,12,12,12,1,4,4,4,4,4,4,4,8,8,4,3,3,3,6,6,6,6,6,1,1,1,
1,1,1,1,4,3,1,1,1,1,1,1,1,1],[1,1,30,40,1,15,15,20,10,10,40,20,20,20,40,16,5,
10,15,15,20,10,30,10,10,10,20,60,20,20,20,20,20,40,40,40,40,40,40,80,16,32,5,
10,15,15,5,5,5,5,20,30,10,10,10,10,20,60,20,20,20,20,20,20,20,20,20,20,40,40,
40,40,40,40,40,40,40,16,16,16,6,10,5,15,5,5,5,5,5,10,10,10,10,10,20,20,20,20,
20,20,20,20,20,20,20,20,20,40,16,16,16,1,5,5,5,5,10,10,10,10,10,10,10,10,10,
10,10,16,5,5,5,10,10,1,5,1,1,1,1,1,1,1],[1,1,30,48,48,24,64,1,15,15,20,6,6,40,
24,24,12,12,12,72,72,72,72,24,72,72,32,96,96,64,128,128,5,10,15,15,20,4,4,6,
30,6,6,6,8,24,36,12,36,60,12,12,12,12,36,36,12,12,12,48,48,24,24,24,24,24,24,
24,24,24,72,24,24,24,24,24,24,24,24,24,24,144,48,48,144,48,48,48,144,144,48,
16,32,64,64,32,64,5,6,6,10,15,15,3,3,3,3,4,4,20,4,6,6,6,30,6,6,18,18,6,6,6,6,
6,6,6,8,12,12,12,60,12,12,12,36,12,36,36,36,12,12,36,12,36,12,12,12,36,36,12,
12,12,12,12,36,12,12,12,36,36,12,12,12,12,12,12,36,12,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,48,48,48,48,16,32,32,32,16,
32,16,64,32,64,64,6,6,10,3,15,3,3,3,3,3,4,4,6,6,6,6,6,18,6,6,6,18,18,6,18,18,
6,18,6,6,6,6,6,6,18,6,6,6,6,6,12,12,12,36,12,12,12,12,12,12,12,36,12,12,12,12,
12,36,12,12,12,12,12,12,12,12,12,12,12,12,12,36,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,36,12,12,12,12,24,24,24,24,24,24,24,24,24,4,16,16,16,32,32,32,
16,32,16,16,16,16,16,32,1,1,1,6,2,6,3,3,3,3,3,3,3,3,3,3,6,6,18,6,6,6,6,6,18,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,18,6,6,6,18,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,
12,12,12,12,12,12,4,4,4,8,8,16,16,32,16,6,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,4,4,4,4,4,4,4,4,4,8,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,1,30,120,160,
1,15,15,20,30,30,40,60,60,60,120,160,96,160,160,160,5,10,15,15,20,20,20,30,30,
30,30,30,40,60,60,60,60,60,60,60,60,60,120,120,120,120,120,96,192,40,80,160,
160,160,160,5,10,15,15,15,15,15,15,20,20,20,20,30,30,30,30,30,40,60,60,60,60,
60,60,60,60,60,60,60,60,60,60,60,120,120,120,120,120,120,96,96,96,40,40,40,80,
80,80,80,160,160,6,10,15,15,15,15,15,15,15,20,20,30,30,30,30,30,30,30,60,60,
60,60,60,60,60,60,60,60,60,60,120,96,20,40,40,40,80,80,80,80,80,80,160,32,1,5,
5,10,15,15,15,15,30,30,30,30,30,30,30,30,30,30,30,10,20,20,40,80,16,16,32,15,
15,15,30,6,10,10,10,20,20,40,16,16,32,5,6,6,6,10,6,5,1],[1,1,30,80,80,120,160,
1,15,15,20,30,30,40,40,40,60,60,60,120,120,120,120,120,120,120,160,480,480,96,
160,160,160,320,320,320,320,5,10,15,15,20,20,20,30,30,30,30,30,40,40,60,60,60,
60,60,60,60,60,60,60,60,60,60,80,80,120,120,120,120,120,120,120,120,120,120,
120,120,120,120,120,120,120,120,120,120,240,240,240,240,240,240,240,240,240,
240,96,192,40,80,160,160,160,160,160,160,160,160,320,320,320,320,5,10,10,10,
15,15,15,15,15,15,20,20,20,20,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,40,
60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,
60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,120,120,120,120,120,120,120,120,
120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,240,240,
240,240,96,96,96,40,40,40,80,80,80,80,80,80,80,80,160,160,160,160,160,160,160,
160,160,160,6,10,10,15,15,15,15,15,15,15,20,20,30,30,30,30,30,30,30,30,30,30,
30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,60,60,60,60,60,60,60,60,
60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,
60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,120,120,120,120,120,120,
120,120,120,96,96,96,20,40,40,40,40,40,40,40,80,80,80,80,80,80,80,80,80,80,80,
80,80,80,80,80,160,160,32,1,5,5,10,10,10,15,15,15,15,15,15,15,15,15,15,30,30,
30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,
30,30,30,30,30,30,30,30,30,30,60,60,60,60,60,60,60,60,60,60,60,60,96,10,20,20,
40,40,40,40,40,40,40,40,40,80,80,80,80,16,16,32,10,15,15,15,15,15,15,15,30,30,
30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,6,10,10,10,10,10,10,10,20,20,
20,20,20,20,40,40,16,16,16,16,16,16,32,5,15,15,15,15,15,15,6,6,6,10,10,10,10,
10,10,10,20,20,16,16,15,6,6,6,5,10,6,5,1,1]],
[1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,5,6,6,6,6,6,6,6,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,10,10,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,20,
20,20,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,40,40,40,48,48,48,
48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,60,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,80,96,96,96,96,96,96,96,96,96,96,96,96,96,
96,96,96,120,120,120,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,160,192,192,192,192,192,192,
192,192,192,192,192,192,192,192,192,240,240,240,240,240,240,240,256,256,256,
256,256,256,256,320,320,320,384,384,384,384,384,384,384,384,384,480,480,512,
640,640,640,768,768,1280,1536,3840,7680],
[533,533,507,440,443,424,365,533,524,524,520,507,507,494,494,494,464,470,470,
429,385,429,385,425,426,426,366,151,151,434,365,365,365,235,231,235,231,531,
529,524,524,513,521,521,507,508,507,506,506,493,494,461,464,461,456,470,464,
457,470,461,461,470,457,470,440,443,385,423,370,429,385,425,426,424,424,425,
404,433,423,370,433,425,424,424,429,426,276,273,325,325,277,279,279,279,263,
325,434,340,494,448,365,365,365,365,365,366,365,365,231,235,235,231,531,529,
529,529,524,524,524,524,524,524,521,521,513,520,507,507,506,508,506,506,508,
508,506,507,506,507,506,507,507,493,461,461,461,456,461,461,461,461,461,461,
461,461,470,461,461,461,461,461,478,461,461,461,470,470,470,464,461,461,461,
470,457,461,461,461,457,456,457,461,470,461,461,370,404,407,423,424,423,404,
433,424,424,424,404,424,424,424,424,404,433,423,370,433,424,424,424,424,279,
279,325,325,434,434,434,494,494,494,448,440,443,440,443,447,450,449,355,366,
365,353,365,365,365,365,365,365,530,529,529,524,524,524,524,524,524,524,521,
520,508,506,506,506,507,508,506,504,506,508,508,507,508,508,507,508,506,506,
509,506,506,503,508,504,506,507,507,507,464,461,461,461,461,461,470,461,461,
470,461,461,461,456,461,461,461,461,461,461,455,461,465,465,456,461,457,456,
470,461,470,461,461,470,461,461,461,461,470,461,470,470,457,457,461,470,456,
454,461,470,470,457,424,424,424,433,423,424,433,423,404,434,434,434,520,494,
494,494,494,494,494,494,448,450,440,440,448,449,448,447,443,443,447,450,449,
449,447,450,365,366,502,533,531,531,529,528,529,524,524,524,524,524,524,524,
524,524,524,508,508,508,506,506,506,506,504,508,506,506,508,506,504,506,507,
509,508,506,506,503,506,506,507,508,504,509,503,508,507,508,508,506,508,506,
508,503,509,465,464,470,461,461,470,465,461,470,461,470,464,434,529,520,521,
494,490,494,494,494,494,492,494,494,447,448,449,450,523,522,502,529,524,524,
524,524,524,524,524,504,504,507,507,508,506,508,508,506,506,508,506,506,506,
509,509,503,508,530,529,529,529,529,529,529,529,521,521,520,520,520,521,494,
495,523,522,522,523,523,522,502,531,524,524,524,524,524,524,530,530,530,529,
529,529,529,529,529,529,520,521,522,523,524,530,530,530,531,529,530,531,533,
533],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,7,7,1,1,1,7,7,1,
1,1,1,2,2,2,1,1,1,1,1,1,2,1,1,1,2,2,1,2,1,1,1,2,2,1,1,1,3,3,2,1,3,3,1,1,2,2,1,
3,3,1,3,3,2,1,1,1,3,1,1,3,1,1,3,3,3,3,1,30,14,11,1,1,7,7,1,27,7,7,7,7,7,7,1,1,
1,1,2,2,1,2,1,2,2,2,2,1,3,3,2,2,1,1,2,2,1,1,2,1,2,3,3,1,3,3,3,2,2,3,1,3,1,3,3,
1,2,2,2,1,3,2,1,3,2,3,2,2,2,1,3,3,3,2,2,3,3,3,2,2,2,3,2,2,3,2,10,1,3,18,3,10,
3,18,18,2,10,18,2,18,18,10,3,3,2,3,2,18,1,18,3,3,3,3,30,30,1,99,14,99,11,14,
99,99,14,43,42,44,100,27,2,100,7,33,33,7,7,33,2,2,2,9,2,9,9,1,9,2,2,1,9,9,9,9,
9,9,9,2,9,9,9,9,9,9,3,9,9,2,9,9,2,2,2,9,2,9,9,3,3,9,3,9,9,9,18,9,9,18,9,9,9,
10,9,3,9,9,3,3,3,9,2,3,10,9,10,10,18,2,18,9,9,18,9,9,9,3,18,9,2,18,10,10,9,18,
10,9,3,2,9,10,18,18,18,17,17,18,17,17,10,30,30,30,126,99,99,99,14,14,14,99,11,
42,99,99,100,44,100,224,99,99,43,225,226,226,224,225,33,27,367,2,1,2,39,8,39,
9,9,9,9,41,9,41,9,41,41,41,9,39,41,9,9,9,41,9,48,41,41,48,41,48,9,41,39,48,48,
10,48,48,9,39,41,41,10,9,9,39,41,48,39,41,39,10,41,47,17,18,9,9,48,47,9,18,9,
48,17,97,239,126,247,39,341,99,99,217,99,341,217,217,224,219,226,225,451,452,
367,39,41,41,41,41,41,41,9,122,122,47,47,117,120,39,117,48,48,117,120,120,120,
118,118,113,117,237,435,435,239,239,435,435,239,437,437,341,126,341,247,217,
372,451,452,452,451,451,452,367,113,122,121,120,119,117,118,237,480,480,435,
435,239,435,435,435,435,436,437,452,451,379,480,480,480,503,435,480,528,532,
532],
[( 1,51,35,23,11,41,25,13)( 2,45,29,17, 5,42,26,14)( 3,78,66,38,69,43,27,15)
( 4,77,65,37,70,44,28,16)( 6,50,34,22,10,46,30,18)( 7,48,32,20, 8,47,31,19)
( 9,79,67,39,71,49,33,21)(12,80,68,40,72,52,36,24)(53,57)(55,74,56,75,61,76,
64,73)(58,63)(60,62),( 1,11)( 2, 8)( 3,12)( 4, 9)( 5, 7)( 6,10)(13,37)(14,23)
(15,16)(17,38)(18,19)(20,39)(21,24)(22,40)(25,53)(26,54)(27,55)(28,56)(29,57)
(30,58)(31,59)(32,60)(33,61)(34,62)(35,63)(36,64)(41,44)(42,51)(43,45)(46,47)
(48,49)(50,52)(65,75)(66,76)(67,74)(68,73)(69,70)(71,72)(77,78)(79,80)],
[[[[]]],[[[1,1,2,1],[2,1,1,1],[3,1,1,-1,4,1,3,-1,4,1,2,1,4,-1]]],[[[1,2],[3,1,
2,1,3,-2,2,1,3,-1]]],[[[1,2],[3,1,2,1,1,2,2,1,3,1,2,1]]],[[[1,1,2,1],[3,2,1,2,
2,1,3,1]]],[[[1,2],[3,1,1,1,2,1,3,1,2,1,1,1]]],[[[1,2],[3,1,1,1,2,1,3,-1,2,1,
1,-1]]],[[[2,1,1,1],[2,1,3,-1,1,2],[4,1,2,1,1,-1,3,2,4,1]]],[[[1,2],[3,1,2,1,
3,-2,2,1,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,1,-1,4,1,3,-1,4,1,2,1,4,-1]]],[[[1,
2],[2,1,3,-2],[1,1,2,1,4,-1,1,-1,2,1,4,-1]]],[[[1,1,2,1],[1,3],[3,1,4,1,3,1,4,
1]],[[1,2],[2,1,1,-1,2,1,3,-2,2,1,1,1,2,1]]],[[[1,2],[3,1,2,1,3,1,2,1,3,
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1]]],[[[1,1,2,1],[3,1,1,2,2,1,3,2]],[[1,2],[1,1,2,1],[3,1,4,-1,2,1,4,1,3,
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1,1,1],[4,2,3,1,2,1,5,-1,3,-1,5,1]]],[[[1,2],[2,1,3,-1,2,1,1,-1,2,1,3,
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1,1,-1,3,-1,2,1]]],[[[1,2],[3,-1,2,1,3,1]],[[1,2],[2,1,3,1],[4,2,3,1]]],[[[1,
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3,1,1,1,2,1,3,-1,2,1,1,-1]]],[[[1,2],[3,1,2,1],[3,1,4,2]],[[1,2],[1,1,2,1],[2,
1,4,1,3,1,2,1,3,1,4,1]]],[[[2,1,1,1,2,1,1,-1]]],[[[1,2],[3,1,2,1,3,-1,2,1,1,
1]]],[[[2,1,1,2]]],[[[1,2],[1,1,2,1,3,-1,2,1,1,-1,3,-1]],[[1,2],[3,1,2,1,3,-1,
2,1,1,2,2,1]]],[[[1,1,2,1,1,-1]],[[1,2],[3,1,1,1,2,1,1,-1,3,-1]]],[[[1,2],[3,
1,2,1,3,-2,2,1,3,-1]],[[1,2],[1,1,2,1],[4,2,3,-2,4,-2]],[[1,2],[2,1,1,1],[2,1,
1,1,2,1],[4,1,5,1,3,-2,5,-1,4,-1]]],[[[1,2],[3,1,2,1,3,-2,2,1,3,-1]],[[1,1,2,
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2],[2,1,1,1],[4,1,2,1,1,-1,2,1,3,-2,4,1,2,1,4,-1]]],[[[2,1,1,-4,2,1]],[[1,2],[
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2,1,4,-1]],[[1,2],[3,-2,2,1],[4,1,1,-1,2,1,4,1,1,1,2,1]]],[[[1,2],[1,1,2,1],[
4,1,3,1,2,1,3,1,4,-1,2,1,4,1]],[[1,2],[1,1,2,1],[3,1,2,1,3,1,4,1,3,1,2,1,3,-1,
4,-1]]],[[[1,1,2,1],[3,1,1,-2,3,-1,2,1,3,1,1,1]],[[1,2],[1,1,2,1],[4,1,3,1,2,
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3,1,4,1]],[[1,2],[1,1,2,1],[2,1,1,-1,2,1,3,1,4,2,1,-1,3,-1]]],[[[1,2],[3,1,2,
1,3,-1,2,1,1,2,2,1]],[[1,2],[1,1,2,1],[4,1,3,1,2,1,3,-1,4,-1]]],[[[1,2],[1,1,
2,1],[4,2,3,-2,4,-2]],[[1,2],[2,1,1,1],[2,1,3,-1,4,1,2,1,1,-1,3,-1,4,1]],[[1,
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4,1]]],[[[1,2],[1,1,2,1],[4,2,3,-2,4,-2]],[[1,2],[1,1,2,1],[4,1,3,-1,4,-1,2,1,
3,1,2,1,1,1,4,1]]],[[[1,1,2,1],[3,1,1,-1,2,1,3,1,1,3]],[[1,2],[2,1,1,1,2,1,1,
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1]],[[1,2],[2,1,1,-1,2,1,1,1,2,1,3,1,2,1,3,-1]]],[[[1,-4]],[[2,1,1,-4,2,1]],[[
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2],[1,1,2,1],[4,1,3,1,2,1,3,-1,4,-1]]],[[[1,2],[2,1,1,-1,2,1,3,-1,2,1,3,
1]]],[[[1,2],[2,1,1,1],[2,1,4,-1,3,-2,4,1]],[[1,2],[1,1,2,1],[2,1,3,1,4,-1,2,
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1,3,-1]]],[[[1,-1,2,1,1,1]],[[1,1,2,1],[3,1,1,-1,2,1,3,1,1,-1]]],[[[1,-4]],[[
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3]],[[1,1,2,1],[2,1,1,-1,2,1,3,1,1,-2,3,-1,2,1]]],[[[1,-1,2,1,1,1]],[[1,2],[3,
1,2,1,3,-2,2,1,3,-1]]],[[[1,1,2,1],[3,1,1,-1,2,1,3,1,1,-1]],[[1,1,2,1],[2,1,3,
1,1,-2,3,1]],[[1,2],[1,1,2,1],[2,1,3,1,4,1,3,1,2,1,4,1]]],[[[1,1,2,1],[3,1,1,
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2,1],[4,1,3,-2,4,-1]]],[[[1,1,2,1],[1,2,3,-1,2,1,3,2]]],[[[2,1]],[[1,2],[3,-2,
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-1]],[[1,2],[2,1,1,-1,3,-1,2,1,3,1,1,1,2,1]]],[[[1,1,2,1,1,3]],[[1,2],[2,1,1,
-1,2,1,3,-2,2,1,1,1,2,1]]],[[[1,2],[3,1,2,1,3,-1,2,1,3,1]],[[1,2],[1,1,2,1],[
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2],[1,1,2,1],[4,1,3,1,2,1,1,-1,3,-1,4,-1]],[[1,2],[1,1,2,1],[2,1,4,1,3,-1,2,1,
3,1,4,1]]],[[[1,2],[3,1,2,1,3,-2,2,1,3,-1]],[[1,2],[1,1,2,1],[2,1,3,1,4,1,1,
-1,3,-1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,3,-1]],[[1,2],[1,1,2,1,3,
1,1,1,2,1,3,-2]]],[[[1,1,2,1],[3,1,1,2,3,1]]],[[[1,1,2,1],[2,1,3,1,1,-2,2,1,1,
1,3,1]],[[1,2],[1,1,2,1],[3,1,4,-1,2,1,4,1,3,-1]]],[[[1,2],[2,1,3,-2,2,1,3,
-1]],[[1,2],[1,1,2,1,3,-1,2,1,3,1,1,1]]],[[[1,1,2,1,1,-1]],[[1,2],[2,1,1,-1,3,
-1,2,1,3,1,1,1,2,1]]],[[[1,1,2,1,1,-1,2,1,1,1]],[[2,1,1,1],[2,1,3,-1,1,1,2,1,
3,-1]]],[[[1,2],[1,1,2,1,3,1,2,1,3,1,1,1]],[[1,2],[2,1,1,1,2,1],[4,1,3,1,4,1,
3,1]]],[[[1,2],[2,1,1,-1,2,1,1,1,2,1,3,1,2,1,3,-1]],[[1,2],[1,1,2,1],[2,1,3,1,
4,1,3,-1,4,-1,2,1]]],[[[1,2],[3,1,2,1,1,2,2,1,3,-1,2,1]],[[1,2],[1,1,2,1],[4,
1,1,-1,3,-1,4,-1,2,1,3,-1]]],[[[2,1]],[[1,2],[1,1,2,1,3,-2,2,1,1,1]]],[[[1,
2],[1,1,2,1,3,1,2,1,3,1,1,1]],[[1,2],[3,1,2,1,3,-1,2,1,1,2,2,1]]],[[[1,2],[3,
1,2,1,1,2,2,1,3,1,2,1]],[[1,2],[1,1,2,1],[2,1,4,1,3,1,2,1,3,1,4,1]]],[[[2,1,1,
2]],[[1,2],[3,1,2,1,3,-1]]],[[[1,-4]],[[1,2],[2,1,3,-2],[1,1,2,1,4,-1,1,-1,2,
1,4,-1]],[[1,2],[2,1,1,1],[4,1,2,1,1,-1,2,1,3,-2,4,1,2,1,4,-1]]],[[[1,1,2,1],[
3,1,1,-1,2,1,3,1,1,-1]],[[1,1,2,1],[2,1,3,1,1,-2,3,1]],[[1,2],[2,1,1,-1,3,-1,
2,1,3,1,1,1,2,1]],[[1,2],[1,1,2,1],[4,2,3,-2,4,-2]]],[[[1,2],[1,1,2,1],[4,2,3,
-2,4,-2]],[[1,2],[2,1,1,-1,2,1,3,-2,2,1,1,1,2,1]],[[1,2],[2,1,1,1],[2,1,3,-1,
4,1,2,1,1,-1,3,-1,4,1]],[[1,2],[1,1,2,1],[2,1,1,-1,4,-1,1,-1,2,1,4,1,3,1,2,1,
3,-1]]],[[[1,2],[1,1,2,1],[4,2,3,-2,4,-2]],[[1,2],[2,1,1,-1,2,1,3,-2,2,1,1,1,
2,1]],[[1,2],[2,1,3,-2],[4,1,2,1,1,-1,4,1,2,1,1,1]]],[[[1,-4]],[[2,1,1,-4,2,
1]],[[1,2],[2,1,1,1,2,1],[4,1,3,-2,4,-1]]],[[[1,2],[1,1,2,1],[4,2,3,-2,4,
-2]],[[1,2],[2,1,3,-2],[4,1,2,1,1,-1,4,1,2,1,1,1]],[[1,2],[2,1,1,1,2,1,3,-2,2,
1,1,-1,2,1,3,-2]]],[[[1,2],[2,1,3,1,2,1,1,1,2,1,3,1]],[[1,2],[2,1,3,-1,2,1,1,
-1,3,-1,2,1,3,-1]]],[[[1,2],[1,1,2,1],[4,2,3,-2,4,-2]],[[1,2],[2,1,1,1],[3,1,
1,1,2,1,1,-1,3,-1,4,1,2,1,4,-1]],[[1,2],[2,1,1,1],[2,1,1,-1,3,-1,4,1,3,1,2,1,
1,-1,4,1]]],[[[1,1,2,1],[3,2,1,2,3,-2]],[[1,1,2,1],[2,1,1,-1,2,1,1,2],[3,1,4,
-1,3,1,4,-1]]],[[[2,1,1,-4,2,1]],[[1,2],[3,1,2,1],[3,1,4,2]],[[1,2],[2,1,1,1,
2,1],[4,1,3,-2,4,1]]],[[[1,2],[1,1,2,1,3,-1,2,1,3,1,1,1]],[[1,2],[1,1,2,1],[2,
1,4,1,3,-1,2,1,3,1,4,1]],[[1,2],[2,1,1,-1,2,1,1,1,2,1,3,1,2,1,3,-1]]],[[[1,
2],[3,1,2,1],[3,1,4,2]],[[1,2],[1,1,2,1],[4,1,3,1,2,1,3,-1,2,1,4,1,3,1]],[[1,
2],[1,1,2,1],[4,1,3,-1,2,1,3,-1,2,1,1,-1,2,1,3,1,4,1]]],[[[1,1,2,1],[1,3],[3,
1,4,1,3,1,4,1]],[[1,2],[2,1,1,1,2,1],[4,1,3,-2,4,-1]],[[1,2],[1,1,2,1],[4,2,3,
-2,4,-2]]],[[[1,2],[2,1,3,1,2,1,1,1,2,1,3,1]],[[1,2],[2,1,3,-1,2,1,1,-1,2,1,3,
-1]]],[[[1,-4]],[[1,2],[3,1,2,1,1,2,2,1,3,-1,2,1]],[[1,2],[1,1,2,1,3,-1,2,1,3,
1,2,1,1,1]]],[[[1,-1,2,1,1,1]],[[1,1,2,1],[3,1,1,-1,2,1,3,1,1,-1]],[[1,1,2,
1],[2,1,3,1,1,-2,3,1]]],[[[1,2],[3,1,2,1,3,-2,2,1,3,-1]],[[1,2],[3,1,2,1,1,2,
2,1,3,1,2,1]],[[1,2],[1,1,2,1],[2,1,4,1,3,1,2,1,3,-1,4,-1]]],[[[2,1,1,-4,2,
1]],[[1,1,2,1],[1,3],[3,1,4,1,3,1,4,1]],[[1,2],[2,1,1,1,2,1],[4,1,3,-2,4,
-1]]],[[[1,1,2,1],[2,1,1,1,3,-2,1,-2,3,-1,2,1]],[[1,2],[1,1,2,1],[2,1,1,-1,2,
1,3,-1,4,-1,2,1,4,1,3,1,4,1]]],[[[1,2],[2,1,1,1],[2,1,4,-1,3,-2,4,1]],[[1,2],[
1,1,2,1],[2,1,3,-1,4,-1,2,1,4,1,3,1]]],[[[1,2],[3,1,2,1,3,-2,2,1,3,-1]],[[1,
2],[2,1,1,1],[2,1,4,-1,3,-2,4,1]]],[[[1,1,2,1],[3,1,1,3,2,1,1,1,3,-1]],[[1,
2],[2,1,1,-1,2,1,3,-2,2,1,1,1,2,1]]],[[[1,2],[3,1,2,1,3,-1,2,1,3,1]],[[1,2],[
2,1,3,1],[3,1,4,2]],[[1,2],[1,1,2,1],[2,1,4,1,3,1,2,1,3,-1,4,-1]]],[[[1,1,2,
1],[3,1,1,2,2,1,3,1,1,1]],[[1,1,2,1],[1,3],[3,1,4,1,3,1,4,1]],[[1,2],[1,1,2,
1],[2,1,3,1,4,-1,2,1,4,1,3,-1]]],[[[2,1]],[[1,2],[3,-2,2,1,3,-2]],[[1,2],[1,1,
2,1],[4,1,3,1,2,1,3,-1,4,-1]]],[[[1,2],[2,1,3,1,2,1,1,1,2,1,3,1]],[[1,2],[2,1,
3,-1,2,1,1,1,2,1,3,-1]]],[[[1,1,2,1],[1,3],[3,1,4,1,3,1,4,1]],[[1,2],[2,1,1,
-1,2,1,3,-2,2,1,1,1,2,1]],[[1,2],[1,1,2,1],[2,1,3,-1,4,-1,2,1,4,1,3,1]]],[[[1,
1,2,1],[3,1,1,2,2,1,3,1,1,1]],[[1,2],[2,1,1,1],[2,1,4,-1,3,-2,4,1]],[[1,2],[1,
1,2,1],[2,1,3,1,4,-1,2,1,4,1,3,-1]]],[[[1,2],[2,1,3,1,2,1,1,1,2,1,3,1]],[[1,
2],[1,1,2,1],[4,2,3,-2,4,-2]],[[1,2],[1,1,2,1],[4,1,3,-1,4,-1,2,1,3,1,2,1,1,1,
4,1]]],[[[1,2],[1,1,2,1,3,1,2,1,3,1,1,1]],[[1,2],[1,1,2,1],[2,1,4,1,3,-1,2,1,
3,1,4,1]],[[1,2],[2,1,1,-1,2,1,1,1,2,1,3,1,2,1,3,-1]]],[[[1,1,2,1],[3,1,1,-1,
2,1,3,1,1,-1]],[[1,1,2,1],[2,1,3,1,1,-2,3,1]],[[1,2],[2,1,3,-1,2,1,1,1,2,1,3,
-1]]],[[[2,1,1,-4,2,1]],[[1,2],[3,1,2,1,1,2,2,1,3,-1,2,1]],[[1,2],[2,1,1,1,2,
1],[4,1,3,-2,4,1]]],[[[1,-4]],[[1,2],[3,1,1,1,2,1,3,1,2,1,1,1]],[[1,1,2,1],[2,
1,1,-1,2,1,3,1,1,-2,3,-1,2,1]]],[[[1,2],[3,1,2,1,3,-2,2,1,3,-1]],[[1,1,2,1],[
1,3],[3,1,4,1,3,1,4,1]],[[1,2],[2,1,1,1,2,1],[4,1,3,-2,4,-1]]],[[[1,-2,2,1,1,
-2]],[[1,2],[2,1,1,1,2,1],[4,1,3,-2,4,1]]],[[[1,2],[3,-2,2,1]],[[1,2],[1,1,2,
1],[4,1,3,-1,2,1,3,1,4,-1]]],[[[1,1,2,1,1,3]],[[1,2],[1,1,2,1,3,1,2,1,3,1,2,1,
1,1]],[[1,1,2,1],[2,1,1,-1,2,1,3,1,1,-2,3,-1,2,1]]],[[[1,2],[1,1,2,1,3,-1,2,1,
3,1,2,1,1,1]],[[1,1,2,1],[1,3],[3,1,4,1,3,1,4,1]],[[1,2],[2,1,1,-1,2,1,3,-2,2,
1,1,1,2,1]]],[[[1,1,2,1],[3,1,1,-1,2,1,3,1,1,-1]],[[1,1,2,1],[2,1,3,1,1,-2,3,
1]],[[1,2],[2,1,1,-1,3,-1,2,1,3,1,1,1,2,1]],[[1,2],[2,1,1,-1,2,1,3,1,2,1,1,-1,
3,-1,2,1]]],[[[2,1,1,-4,2,1]],[[1,1,2,1],[3,1,1,-1,2,1,3,1,1,-1]],[[1,1,2,1],[
2,1,3,1,1,-2,3,1]]],[[[1,2],[1,1,2,1],[3,-2,2,1,3,1,4,2]],[[1,2],[1,1,2,1],[4,
1,3,-1,1,-1,2,1,4,1,3,-1,2,1]]],[[[1,2],[1,1,2,1],[3,1,4,2,3,-2,2,1]],[[1,2],[
1,1,2,1],[4,1,3,-1,4,-1,2,1,3,1,2,1,1,1,4,1]]],[[[1,2],[3,1,1,1,2,1,3,-1,2,1,
1,1,2,1]],[[1,2],[1,1,2,1],[2,1,3,-1,4,-1,2,1,4,1,3,1]]],[[[1,2],[3,1,2,1,1,2,
2,1,3,1,2,1]],[[1,2],[1,1,2,1],[2,1,4,1,3,-1,2,1,3,1,4,-1]]],[[[1,2],[3,1,2,1,
3,-2,2,1,3,-1]],[[1,2],[3,1,2,1,1,2,2,1,3,1,2,1]],[[1,2],[1,1,2,1],[4,1,3,1,2,
1,3,-1,4,-1]]],[[[1,1,2,1],[3,1,1,2,2,1,3,2]],[[1,2],[2,1,1,1],[2,1,4,-1,3,-2,
4,1]],[[1,2],[1,1,2,1],[3,1,4,-1,2,1,4,1,3,-1]]],[[[2,1,1,-4,2,1]],[[1,2],[3,
1,2,1,1,2,2,1,3,-1,2,1]],[[1,2],[2,1,1,1,2,1],[4,1,3,-2,4,-1]]],[[[1,2],[3,1,
1,1,2,1,1,-1,3,-1]],[[1,2],[2,1,3,1,2,1,1,1,2,1,3,1]]],[[[1,2],[3,1,2,1,3,-2,
2,1,3,-1]],[[1,2],[2,1,3,-1,2,1,1,1,2,1,3,1]]],[[[1,2],[2,1,1,1],[2,1,4,-1,3,
-2,4,1]],[[1,2],[1,1,2,1],[4,1,3,-1,2,1,4,1,1,-1,3,-1]]],[[[1,2],[2,1,1,1],[3,
1,4,1,2,1,4,-1,3,1]],[[1,1,2,1],[2,1,1,-1,2,1,1,2,3,-2]]],[[[1,1,2,1],[2,1,1,
-1,2,1,1,2,3,-2]],[[1,1,2,1],[2,1,3,2,1,2,2,1,1,1]]],[[[1,1,2,1],[1,3],[3,1,4,
1,3,1,4,1]],[[1,2],[2,1,1,-1,2,1,3,1,2,1,1,-1,3,-1,2,1]],[[1,2],[1,1,2,1],[2,
1,3,-1,4,-1,2,1,4,1,3,1]]],[[[1,2],[1,1,2,1,3,1,2,1,3,1,1,1]],[[1,2],[2,1,1,1,
2,1],[4,1,3,-2,4,-1]],[[1,2],[2,1,1,-1,2,1,1,1,2,1,3,1,2,1,3,-1]]],[[[1,1,2,
1],[1,3],[3,1,4,1,3,1,4,1]],[[1,2],[2,1,1,-1,3,-1,2,1,1,1,2,1,3,-1]]],[[[1,
2],[3,1,2,1,3,1,2,1,3,-1]],[[1,2],[2,1,3,-1,2,1,1,-1,2,1,3,-1]]],[[[1,2],[3,1,
2,1,3,-1,2,1,3,1]],[[1,2],[1,1,2,1],[2,1,4,1,3,-1,2,1,3,1,4,-1]]],[[[2,1,1,2,
2,1,1,-2,2,1]],[[1,1,2,1],[1,3],[3,1,4,1,3,1,4,1]],[[1,2],[2,1,1,-1,2,1,3,-2,
2,1,1,1,2,1]]],[[[1,2],[2,1,3,1,2,1,1,1,2,1,3,1]],[[1,2],[2,1,1,-1,2,1,3,-2,2,
1,1,1,2,1]]],[[[1,2],[1,1,2,1,3,-1,2,1,3,1,1,1]],[[1,2],[2,1,1,-1,2,1,1,1,2,1,
3,1,2,1,3,-1]],[[1,2],[1,1,2,1],[2,1,4,1,3,1,2,1,3,1,4,1]]],[[[1,2],[1,1,2,
1],[4,1,3,-2,4,-1]],[[1,2],[1,1,2,1],[2,1,4,1,3,-1,2,1,3,1,4,1]],[[1,2],[2,1,
1,-1,2,1,1,1,2,1,3,1,2,1,3,-1]]],[[[1,2],[3,1,2,1,1,2,2,1,3,-1,2,1]],[[1,2],[
1,1,2,1],[4,1,3,1,2,1,3,1,4,-1]]],[[[1,2],[3,-2,2,1,3,-2]],[[1,2],[1,1,2,1],[
2,1,4,1,3,-2,4,-1]]],[[[1,2],[3,1,2,1,1,2,2,1,3,-1,2,1]],[[1,2],[1,1,2,1],[2,
1,4,1,3,1,2,1,3,-1,4,-1]]],[[[1,2],[3,1,2,1,3,-2,2,1,3,-1]],[[1,1,2,1],[2,1,1,
-1,2,1,3,1,1,-3,3,-1]]],[[[1,2],[2,1,3,-1,2,1,1,1,2,1,3,1]],[[1,2],[2,1,3,1],[
4,1,2,1,1,-1,4,-1,3,-1]]],[[[1,2],[1,1,2,1],[4,1,3,-2,4,-1]],[[1,2],[2,1,1,-1,
2,1,1,1,2,1,3,1,2,1,3,-1]],[[1,2],[1,1,2,1],[2,1,4,1,3,1,2,1,3,1,4,1]]],[[[2,
1,1,-4,2,1]],[[1,2],[2,1,1,1,2,1],[4,1,3,-2,4,1]],[[1,2],[1,1,2,1],[4,1,3,-1,
2,1,3,1,4,-1]]],[[[1,2],[3,1,2,1],[3,1,4,2]],[[1,2],[1,1,2,1],[4,1,3,1,2,1,3,
1,4,-1,2,1,4,1]],[[1,2],[1,1,2,1],[3,1,2,1,3,1,4,1,3,1,2,1,3,-1,4,-1]]],[[[1,
2],[3,1,2,1,3,-2,2,1,3,-1]],[[1,2],[3,1,2,1,1,2,2,1,3,1,2,1]],[[1,2],[1,1,2,
1],[4,1,3,-1,2,1,3,1,4,-1]]],[[[1,2],[3,1,2,1,3,1,2,1,3,-1]],[[1,2],[1,1,2,
1],[2,1,4,1,3,1,2,1,3,-1,4,-1]]],[[[1,2],[3,1,1,1,2,1,3,1,2,1,1,1]],[[1,2],[2,
1,1,-1,2,1,3,1,2,1,1,-1,3,-1,2,1]],[[1,2],[2,1,1,-1,2,1,3,-2,2,1,1,1,2,
1]]],[[[1,1,2,1],[1,3],[3,1,4,1,3,1,4,1]],[[1,1,2,1],[2,1,1,-1,2,1,1,2,3,-2,2,
1]]],[[[1,2],[1,1,2,1],[3,1,4,2,1,-1,3,-1]],[[1,1,2,1],[2,1,1,-1,2,1,3,1,1,-2,
3,-1,2,1]]],[[[1,2],[2,1,3,-1,2,1,1,-1,2,1,3,-1]],[[1,1,2,1],[1,2,3,-1,2,1,3,
2]]],[[[1,2],[1,1,2,1,3,-1,2,1,3,1,1,1]],[[1,1,2,1],[3,2,1,2,2,1,3,1]]],[[[1,
1,2,1,1,3]],[[1,2],[1,1,2,1,3,1,2,1,3,1,2,1,1,1]],[[1,2],[2,1,1,-1,2,1,3,-2,2,
1,1,1,2,1]]],[[[1,1,2,1],[1,3,3,-1,2,1,3,2]],[[1,2],[2,1,1,-1,2,1,3,-2,2,1,1,
1,2,1]]],[[[1,-1,2,1,1,1]],[[1,1,2,1],[3,1,1,-1,2,1,3,1,1,-1]],[[1,2],[3,1,2,
1,3,-2,2,1,3,-1]]],[[[1,2],[2,1,1,-1,3,-1,2,1,1,1,2,1,3,1]],[[1,2],[1,1,2,1,3,
1,2,1,3,1,2,1,1,1]]],[[[1,1,2,1],[1,3],[3,1,4,1,3,1,4,-1]],[[1,2],[2,1,1,-1,3,
-1,2,1,1,-1,2,1,3,1]]],[[[1,2],[3,1,2,1,3,-1]],[[1,2],[3,1,2,1],[3,1,4,2]],[[
1,2],[1,1,2,1],[4,1,3,-1,2,1,3,1,4,-1]]],[[[1,2],[1,1,2,1],[2,1,4,1,3,-1,2,1,
3,1,4,1]],[[1,2],[3,1,2,1,3,1,2,1,1,-1,2,1,1,1,2,1]]],[[[1,2],[3,1,2,1,1,1,2,
1,1,-1,2,1,3,-1]],[[1,2],[2,1,1,-1,3,-1,2,1,1,-1,2,1,3,1]]],[[[1,1,2,1],[1,
3],[3,1,4,1,3,1,4,-1]],[[1,2],[3,1,2,1,3,-1,2,1,1,2,2,1]],[[1,2],[1,1,2,1],[4,
1,3,1,2,1,3,-1,4,-1]]],[[[1,2],[1,1,2,1,3,-2,2,1,1,1]],[[1,2],[2,1,1,-1,3,-1,
2,1,1,-1,2,1,3,-1]]],[[[1,2],[1,1,2,1,3,1,2,1,3,1,2,1,1,1]],[[1,2],[1,1,2,1],[
2,1,3,-1,4,-1,2,1,4,1,3,1]]],[[[1,2],[1,1,2,1],[4,1,3,1,2,1,4,1,1,-1,3,-1]],[[
1,2],[1,1,2,1],[2,1,3,-1,4,-1,2,1,4,1,3,1]]],[[[1,1,2,1],[3,1,1,-1,2,1,3,1,1,
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1],[3,1,4,2]],[[1,2],[1,1,2,1],[2,1,4,1,3,-1,4,-1,3,-1]]],[[[1,-1,2,1,1,1]],[[
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2,1]]],[[[1,2],[2,1,3,1],[3,1,4,2]],[[1,2],[1,1,2,1],[3,1,4,1,3,-1,4,-1,2,
1]]],[[[1,2],[2,1,3,1,2,1,1,1,2,1,3,1]],[[1,2],[3,1,2,1,3,-2,2,1,3,-1]],[[1,
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3,-2,4,1]],[[1,2],[1,1,2,1],[4,1,3,-1,2,1,4,1,1,-1,3,-1]]],[[[1,1,2,1,1,-2,2,
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1]],[[1,1,2,1,1,3,2,1,1,-1]]],[[[1,-4]],[[2,1,1,1,2,1,1,-1]],[[2,1,1,-1,2,1,1,
1]]],[[[1,2],[3,-2,2,1]],[[1,1,2,1,1,-1,2,1,1,1]],[[1,2],[2,1,3,1],[3,1,4,
2]]],[[[1,-1]],[[2,1,1,-1,2,1,1,-2,2,1]]],[[[1,1,2,1,1,-1]],[[2,1,1,-1,2,1,1,
1]],[[1,-4]]],[[[2,1,1,1]],[[1,1,2,1]]],[[[1,1]],[[2,1]]]]);
LIBTOM( "5:4xA5",
[[1],[1,2],[1,3],[1,4],[1,5],[1,3,6],[1,2,7],[1,2,8],[1,2,3,4,9],[1,3,4,10],[
1,11],[1,12],[1,13],[1,3,5,14],[1,2,5,15],[1,4,5,16],[1,2,3,4,6,9,10,17],[1,2,
3,4,8,9,18],[1,2,3,4,7,8,9,19],[1,2,11,20],[1,3,12,21],[1,4,11,22],[1,3,11,
23],[1,2,12,24],[1,4,12,25],[1,4,13,26],[1,3,5,6,27],[1,2,5,8,15,28],[1,2,3,4,
5,9,14,15,16,29],[1,2,5,7,15,30],[1,5,11,31],[1,2,3,4,6,7,8,9,10,17,18,19,
32],[1,2,7,11,20,33],[1,3,6,11,23,34],[1,3,4,10,11,22,23,35],[1,2,3,4,9,11,20,
22,23,36],[1,2,8,11,20,37],[1,2,8,12,24,38],[1,2,3,4,9,12,21,24,25,39],[1,2,7,
12,24,40],[1,2,3,4,5,6,9,10,15,17,27,41],[1,2,3,4,5,7,8,9,14,15,16,19,28,29,
30,42],[1,11,12,13,43],[1,2,5,11,15,20,31,44],[1,3,5,11,14,23,31,45],[1,4,5,
11,16,22,31,46],[1,2,3,4,6,9,10,11,17,20,22,23,34,35,36,47],[1,2,3,4,7,8,9,11,
19,20,22,23,33,36,37,48],[1,2,3,4,8,9,11,18,20,22,23,36,37,49],[1,2,3,4,7,8,9,
12,19,21,24,25,38,39,40,50],[1,2,3,4,5,6,7,8,9,10,15,17,18,19,27,30,32,41,
51],[1,2,11,12,13,20,24,43,52],[1,4,11,12,13,22,25,26,43,53],[1,3,11,12,13,21,
23,43,54],[1,3,5,6,12,14,21,27,55],[1,3,5,6,11,23,27,31,34,56],[1,2,5,8,11,15,
20,28,31,37,44,57],[1,2,5,7,11,15,20,30,31,33,44,58],[1,2,3,4,5,9,11,14,15,16,
20,22,23,29,31,36,44,45,46,59],[1,2,3,4,6,7,8,9,10,11,17,18,19,20,22,23,32,33,
34,35,36,37,47,48,49,60],[1,2,3,4,9,11,12,13,20,21,22,23,24,25,26,36,39,43,52,
53,54,61],[1,2,7,11,12,13,20,24,33,40,43,52,62],[1,2,8,11,12,13,20,24,37,38,
43,52,63],[1,2,3,4,5,6,9,10,11,15,17,20,22,23,27,31,34,35,36,41,44,47,56,64],[
1,2,3,4,5,6,9,10,12,14,15,16,17,21,24,25,27,29,39,41,55,65],[1,2,3,4,5,7,8,9,
11,14,15,16,19,20,22,23,28,29,30,31,33,36,37,42,44,45,46,48,57,58,59,66],[1,2,
3,4,7,8,9,11,12,13,19,20,21,22,23,24,25,26,33,36,37,38,39,40,43,48,50,52,53,
54,61,62,63,67],[1,2,3,4,5,6,7,8,9,10,11,15,17,18,19,20,22,23,27,30,31,32,33,
34,35,36,37,41,44,47,48,49,51,56,58,60,64,68],[1,2,3,4,5,6,7,8,9,10,12,14,15,
16,17,18,19,21,24,25,27,28,29,30,32,38,39,40,41,42,50,51,55,65,69],[1,3,5,6,
11,12,13,14,21,23,27,31,34,43,45,54,55,56,70],[1,2,3,4,5,6,9,10,11,12,13,14,
15,16,17,20,21,22,23,24,25,26,27,29,31,34,35,36,39,41,43,44,45,46,47,52,53,54,
55,56,59,61,64,65,70,71],[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]],
0,[[1],[1,1],[1,1],[1,1],[1,1],[1,3,1],[1,1,1],[1,1,1],[1,1,1,1,1],[1,1,2,1],[
1,1],[1,1],[1,1],[1,3,1,1],[1,1,1,1],[1,3,1,1],[1,1,3,3,1,3,3,1],[1,1,1,1,2,1,
1],[1,1,1,1,1,1,1,1],[1,5,1,1],[1,5,1,1],[1,5,1,1],[1,1,1,1],[1,1,1,1],[1,5,1,
1],[1,5,1,1],[1,3,4,1,1],[1,1,1,3,1,1],[1,1,3,3,1,3,1,1,1,1],[1,1,1,1,1,1],[1,
1,1,1],[1,1,3,3,1,1,3,3,3,1,3,3,1],[1,5,5,1,1,1],[1,3,1,1,3,1],[1,1,10,5,1,2,
1,1],[1,5,1,5,5,1,1,1,1,1],[1,5,5,1,1,1],[1,1,5,1,1,1],[1,1,5,5,5,1,1,1,1,1],[
1,1,1,1,1,1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,1,3,3,1,1,3,3,1,1,1,3,1,1,1,1],[1,1,
1,4,1],[1,5,1,1,5,1,1,1],[1,3,1,1,1,3,1,1],[1,15,1,1,5,3,1,1],[1,5,3,15,1,15,
15,1,5,1,3,3,1,3,3,1],[1,5,1,5,5,5,5,1,5,1,1,1,1,1,1,1],[1,5,1,5,10,5,1,5,1,1,
1,1,2,1],[1,1,5,5,1,5,5,1,5,1,1,1,1,1,1,1],[1,1,3,3,4,1,1,3,3,3,4,1,3,3,1,4,1,
1,1],[1,5,1,1,4,1,5,1,1],[1,25,1,1,4,5,5,20,1,1],[1,5,1,1,4,1,5,1,1],[1,15,10,
5,6,10,6,5,1],[1,3,4,1,1,3,1,4,1,1],[1,5,1,15,1,5,1,5,1,3,1,1],[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],[1,5,3,15,1,5,15,15,15,
1,5,15,15,1,3,3,5,1,1,3,3,3,1,3,3,1],[1,5,5,25,25,1,1,4,1,1,5,5,5,5,20,5,5,1,
1,1,1,1],[1,5,5,1,1,4,1,5,1,5,1,1,1],[1,5,25,1,1,4,1,5,5,5,1,1,1],[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],[1,5,3,15,1,5,15,15,1,1,5,5,15,1,3,3,5,5,5,1,1,3,3,5,1,1,
1,3,1,1,1,1],[1,5,5,25,5,25,25,1,1,4,25,1,1,5,5,5,5,20,1,5,5,5,5,5,1,5,5,1,1,
1,1,1,1,1],[1,5,3,15,4,1,5,15,15,15,1,20,5,15,15,1,3,3,1,20,4,5,1,1,3,3,3,5,4,
1,3,3,5,1,4,1,1,1],[1,1,15,15,10,5,1,15,15,15,6,10,10,10,5,15,15,6,6,6,5,10,
10,10,5,6,6,6,5,10,6,5,1,1,1],[1,15,10,5,1,6,24,10,6,15,5,10,5,6,10,6,1,5,1],[
1,5,15,75,10,5,75,75,1,6,24,10,50,50,25,1,6,15,15,30,30,120,5,50,10,5,15,15,
30,25,6,10,10,10,5,6,6,6,1,5,10,6,5,5,1,1],[1,5,15,75,10,5,5,75,75,75,1,6,24,
10,50,50,25,75,75,1,6,15,15,30,30,120,5,50,50,50,10,25,1,5,15,15,15,30,30,30,
25,50,6,10,10,10,5,15,15,30,25,6,6,6,1,5,10,10,10,5,6,6,6,5,5,10,6,5,5,1,1,
1]],
[1,2,2,2,3,4,4,4,4,4,5,5,5,6,6,6,8,8,8,10,10,10,10,10,10,10,12,12,12,12,15,16,
20,20,20,20,20,20,20,20,24,24,25,30,30,30,40,40,40,40,48,50,50,50,60,60,60,60,
60,80,100,100,100,120,120,120,200,240,240,300,600,1200],
[72,69,60,32,66,68,69,32,32,32,72,67,53,66,42,42,51,32,32,72,67,60,60,50,50,
26,68,42,42,42,66,51,72,68,60,60,60,50,50,50,51,42,67,66,66,66,68,60,60,50,51,
67,67,67,72,68,66,66,66,68,67,67,67,68,69,66,67,68,69,72,72,72],
[1,1,1,1,1,1,1,1,1,1,1,1,1,5,1,5,1,1,1,11,12,11,1,1,12,13,6,5,5,1,1,1,11,1,11,
11,11,12,12,1,6,5,1,11,5,31,11,11,11,12,6,11,43,12,55,6,31,11,31,11,43,11,43,
34,55,31,43,34,55,55,70,70],
[( 1, 3, 8, 4, 2)( 5,23,15,20,16,21,13,17, 9,22,14,12, 7,25,18,11, 6,24,19,10
),( 1,21,13, 5)( 2,23,14, 6)( 3,24,15, 7)( 4,25,18, 9)( 8,22,19,16)(10,20)
(11,12)],
[[[[]]],[[[1,-1,2,-2,1,1]]],[[[2,1,1,-1,2,1,1,3]]],[[[1,2],[1,-1,2,1,3,
-2]]],[[[1,2],[2,1,1,1,2,1,3,2,2,1,3,1]]],[[[1,2,2,1,1,-1,2,1,1,1]],[[2,1,1,3,
2,1,1,-1]]],[[[1,2],[3,2,1,1]]],[[[1,2],[2,-2,3,1,2,1,3,-1]]],[[[2,1,1,-1,2,1,
1,3]],[[1,2],[2,1,3,2,2,-1,3,-1]]],[[[1,3,2,1,1,-1,2,1]],[[1,2],[3,1,2,-1,1,
-1,3,-1,2,1,1,-1]]],[[[2,1,1,-1,2,-2,1,1,2,1]]],[[[1,1,2,-2,1,2,2,1]]],[[[1,1,
2,-2,1,-3]]],[[[1,2],[3,1,2,-1,3,1,2,-2,1,1]],[[1,2],[3,1,2,-2,3,1,1,1,2,
-1]]],[[[2,1,1,1],[3,1,1,2,3,1]]],[[[1,2],[3,1,2,-1,3,1,1,1]],[[1,2],[3,2,2,
-2,1,1,2,1]]],[[[1,2],[2,1,1,1,2,1,3,2,2,1]],[[1,2],[3,1,2,-1,3,1,2,-2,1,
1]],[[1,2],[3,1,2,1,1,1,2,-2,3,1]]],[[[1,2],[2,-2,3,1,2,1,3,-1]],[[1,2],[2,1,
1,1,2,1,3,2,2,1]]],[[[1,2],[3,2,1,1]],[[1,2],[2,-2,3,1,2,1,3,-1]]],[[[2,
-2]],[[1,1,2,-2,1,-1]]],[[[1,1,2,-2,1,2,2,1]],[[2,1,1,-1,2,1,1,3]]],[[[2,1,1,
-1,2,-2,1,1,2,1]],[[1,2],[1,1,2,-1,3,-1,2,1,1,1,3,1]]],[[[1,2],[3,1,2,1,3,-1,
2,1,3,1]]],[[[1,1,2,-1],[3,2,1,-2]]],[[[1,1,2,-2,1,2,2,1]],[[1,1,2,1,1,-3,2,
-1]]],[[[1,2],[1,-1,2,1,3,-2]],[[1,2],[3,1,2,-1,3,1,2,-1,3,-1]]],[[[2,1,1,-1,
2,-1,1,2,2,1]],[[2,-2,1,-2,2,1,1,1]]],[[[2,1,1,1,2,-2,1,-1]],[[1,2],[2,-2,3,1,
2,1,3,-1]]],[[[1,2],[3,1,2,-1,3,1,2,-2,1,1]],[[1,2],[2,1,3,2,1,1,2,-2]]],[[[1,
2],[3,1,2,1,3,1,1,1,2,1]]],[[[1,2,2,-1,1,-2,2,1]]],[[[1,2],[3,2,1,1]],[[1,2],[
2,-2,3,1,2,1,3,-1]],[[1,2],[3,2,2,1,3,1,1,1,2,1]]],[[[2,-2]],[[1,2],[3,2,1,
1]]],[[[1,2],[2,1,1,1,3,2]],[[1,2],[3,1,2,1,3,-1,2,1,3,1]]],[[[1,2],[3,2,1,1,
2,-1]],[[1,2],[3,1,2,1,3,-1,2,1,3,1]]],[[[2,-2]],[[1,2],[3,1,2,1,3,-1,2,1,3,
1]]],[[[2,-2]],[[1,2],[3,1,2,1,3,-1]]],[[[1,2,2,-1,1,1,2,-1]],[[1,1,2,-1],[1,
2,3,-2]]],[[[1,1,2,-1],[3,2,1,-2]],[[2,1,1,-1,2,1,1,3]]],[[[2,1,1,1,2,-2,1,
1]]],[[[2,1,1,1],[3,1,1,2,3,1]],[[2,1,1,-2,2,1,1,1,2,1]]],[[[2,1,1,1,2,-2,1,
-1]],[[1,2],[3,2,1,1]],[[1,2],[2,-2,3,1,2,1,3,-1]]],[[[1,3,2,-1]],[[2,-2,1,3,
2,1]]],[[[2,-2]],[[1,2,2,-1,1,-2,2,1]]],[[[1,2],[3,2,1,1,2,1]],[[1,2],[1,-1,3,
-1,2,-1,3,-1]]],[[[1,2],[3,1,2,-1,3,1,1,1]],[[1,2],[3,2,1,1,2,-1]]],[[[2,
-2]],[[1,2],[2,1,1,1,3,2]],[[1,2],[3,1,2,-1,3,-1,2,1,3,1]]],[[[1,2],[1,-1,3,
-2]],[[1,2],[3,1,2,1,3,-1,2,1,3,1]]],[[[2,-1]],[[1,2],[3,1,2,1,3,-1,2,1,3,
1]]],[[[2,1,1,-1,2,1,1,-2]],[[2,1,1,1,2,-2,1,1]]],[[[2,-2,1,-1,2,-1]],[[1,2,2,
-1,1,1,2,-1]]],[[[2,-2]],[[1,3,2,-1]]],[[[1,3,2,-1]],[[1,1,2,-2,1,2,2,1]],[[1,
2],[3,1,2,-1,3,1,1,1]]],[[[1,3,2,-1]],[[1,2],[1,-1,3,-1,2,-1,3,-1]]],[[[1,
4]],[[1,-1,2,1,1,-1,2,1]]],[[[1,-1,2,1,1,2]],[[1,1,2,-1,1,-2]]],[[[2,1]],[[1,
2],[3,1,2,-1,3,-1]]],[[[1,2],[3,2,1,1]],[[1,2],[3,1,2,1,3,-1,2,1]]],[[[2,
-2]],[[1,2],[2,1,1,1,3,2]],[[1,2],[1,-1,3,-1,2,-1,3,-1]]],[[[2,1]],[[1,2],[1,
-1,3,-2]],[[1,2],[3,1,2,-1,3,-1,2,1,3,1]]],[[[1,3,2,1]],[[1,2],[3,1,2,-1,3,1,
1,1]]],[[[2,-2]],[[2,1,1,2]]],[[[2,-2]],[[1,1,2,-1,1,-1]],[[2,-1,1,-3]]],[[[1,
1,2,1,1,-2]],[[1,-1,2,1,1,2]]],[[[1,2]],[[2,-2,1,-1,2,-1]]],[[[2,1]],[[1,2],[
3,1,2,-1,3,-1]],[[1,2],[1,-1,3,-2]]],[[[2,-2]],[[2,1,1,2]],[[1,1,2,1,1,
-1]]],[[[2,-1]],[[1,-1,2,1,1,2]]],[[[1,1]],[[2,1,1,-1,2,1]]],[[[2,-1,1,-1]],[[
1,-1,2,-1]]],[[[2,1,1,-1]],[[2,1,1,1]]],[[[1,1]],[[2,1]]]]);
LIBTOM( "3^4:(M10x2)",
[[1],[1,2],[1,3],[1,4],[1,5],[1,6],[1,7],[1,8],[1,3,9],[1,3,10],[1,3,11],[1,3,
12],[1,3,4,13],[1,3,14],[1,2,3,4,15],[1,16],[1,2,5,17],[1,4,5,18],[1,4,6,19],[
1,3,6,20],[1,3,6,21],[1,3,5,22],[1,2,6,23],[1,4,6,24],[1,4,7,25],[1,2,7,26],[
1,3,7,27],[1,3,8,28],[1,2,3,4,10,13,15,29],[1,3,4,9,10,13,30],[1,3,9,11,12,
31],[1,3,12,14,32],[1,2,3,4,9,14,15,33],[1,3,14,34],[1,3,11,14,35],[1,3,10,14,
36],[1,3,4,13,14,37],[1,3,14,38],[1,2,3,4,11,12,15,39],[1,5,6,40],[1,6,41],[1,
5,6,42],[1,5,7,43],[1,5,8,44],[1,7,45],[1,8,46],[1,8,47],[1,5,48],[1,7,8,49],[
1,6,7,8,50],[1,4,16,51],[1,3,16,52],[1,2,16,53],[1,3,5,12,22,54],[1,3,6,10,20,
21,55],[1,3,7,10,56],[1,3,6,9,21,57],[1,3,5,11,22,58],[1,3,5,9,22,59],[1,3,6,
10,21,60],[1,3,4,6,13,19,21,61],[1,3,8,10,62],[1,3,4,6,13,19,20,24,63],[1,3,5,
11,22,64],[1,3,5,12,22,65],[1,3,5,14,22,66],[1,2,3,4,6,15,19,21,23,67],[1,3,6,
14,21,68],[1,2,3,4,5,15,17,18,22,69],[1,3,4,6,13,21,24,70],[1,2,3,4,6,15,20,
23,24,71],[1,2,3,4,7,15,25,26,27,72],[1,3,4,12,13,14,32,37,38,73],[1,3,10,12,
14,32,34,36,74],[1,2,3,4,9,14,15,33,34,38,75],[1,2,3,4,9,11,12,14,15,31,32,33,
35,39,76],[1,2,3,4,9,10,13,14,15,29,30,33,36,37,77],[1,3,10,11,14,35,36,38,
78],[1,3,4,11,13,14,34,35,37,79],[1,3,6,20,41,80],[1,4,5,6,18,19,42,81],[1,3,
7,27,45,82],[1,2,5,6,17,23,40,83],[1,4,5,7,18,25,43,84],[1,3,5,6,21,22,42,
85],[1,2,6,23,41,86],[1,4,6,24,41,87],[1,2,5,6,17,23,42,88],[1,4,6,19,24,41,
89],[1,3,8,28,47,90],[1,3,8,28,46,91],[1,4,5,6,19,24,42,92],[1,3,5,6,20,21,42,
93],[1,3,6,20,21,41,94],[1,4,5,18,48,95],[1,4,7,25,45,96],[1,2,7,26,45,97],[1,
3,6,7,8,20,27,28,50,98],[1,2,5,7,17,26,43,99],[1,4,5,6,18,24,40,100],[1,3,7,8,
27,28,49,101],[1,3,5,6,20,22,40,102],[1,4,6,7,8,24,25,50,103],[1,3,5,7,22,27,
43,104],[1,2,6,7,8,23,26,50,105],[1,3,5,8,22,28,44,106],[1,2,3,4,15,16,51,52,
53,107],[1,3,11,16,52,108],[1,3,12,16,52,109],[1,2,3,4,6,10,13,15,19,21,23,29,
60,61,67,110],[1,3,5,9,11,12,22,31,54,58,59,111],[1,3,4,6,9,10,13,19,20,21,30,
55,57,61,112],[1,3,4,7,9,10,13,25,30,56,113],[1,3,5,11,14,22,35,58,64,66,
114],[1,2,3,4,6,9,14,15,19,21,23,33,57,67,68,115],[1,2,3,4,5,11,12,15,17,18,
22,39,58,65,69,116],[1,3,5,12,14,22,32,54,65,66,117],[1,2,3,4,7,10,13,15,26,
29,56,118],[1,3,4,6,9,10,13,21,24,30,57,60,70,119],[1,3,4,6,13,14,19,21,24,37,
61,68,70,120],[1,3,7,10,14,27,36,56,121],[1,2,3,4,5,11,12,15,17,18,22,39,54,
64,69,122],[1,3,5,9,11,12,22,31,59,64,65,123],[1,2,3,4,6,10,13,15,19,20,21,23,
24,29,55,63,67,70,71,124],[1,3,6,10,14,20,21,36,55,60,68,125],[1,2,3,4,5,9,14,
15,17,18,22,33,59,66,69,126],[1,3,8,10,14,28,36,62,127],[1,5,6,40,41,128],[1,
5,6,40,41,42,129],[1,5,7,43,45,130],[1,5,6,7,40,43,131],[1,5,8,44,132],[1,5,8,
44,46,133],[1,5,8,44,47,134],[1,5,6,8,40,44,135],[1,5,6,7,8,40,43,44,50,136],[
1,5,6,7,8,40,43,44,137],[1,5,7,8,43,44,138],[1,5,6,7,8,40,43,44,139],[1,5,7,8,
43,44,49,140],[1,5,7,8,43,44,141],[1,5,6,40,48,142],[1,5,6,40,48,143],[1,5,6,
40,48,144],[1,5,7,8,43,44,145],[1,5,6,40,48,146],[1,2,3,4,9,10,11,12,13,14,15,
29,30,31,32,33,34,35,36,37,38,39,73,74,75,76,77,78,79,147],[1,3,6,9,20,41,80,
148],[1,3,6,12,20,41,80,149],[1,3,7,11,27,45,82,150],[1,3,6,11,20,41,80,151],[
1,3,4,6,13,19,20,24,41,63,80,89,152],[1,3,7,9,27,45,82,153],[1,3,6,10,20,21,
41,55,80,94,154],[1,3,7,12,27,45,82,155],[1,3,5,6,9,21,22,42,57,59,85,156],[1,
2,3,4,6,15,20,23,24,41,71,80,86,87,157],[1,3,5,6,14,21,22,42,66,68,85,158],[1,
3,6,14,20,41,80,159],[1,2,3,4,5,6,15,17,18,19,21,22,23,42,67,69,81,85,88,
160],[1,3,8,12,28,47,90,161],[1,3,4,5,6,13,18,19,20,21,24,42,61,63,81,92,93,
162],[1,3,8,11,28,46,91,163],[1,3,6,7,8,10,21,50,56,60,62,164],[1,3,5,6,11,21,
22,42,58,64,85,165],[1,3,4,5,6,13,19,21,22,24,42,61,70,85,92,166],[1,3,7,11,
27,45,82,167],[1,3,5,6,10,20,21,22,42,55,60,85,93,168],[1,3,7,14,27,45,82,
169],[1,3,5,6,12,21,22,42,54,65,85,170],[1,3,7,12,27,45,82,171],[1,2,3,4,7,15,
25,26,27,45,72,82,96,97,172],[1,2,3,4,5,6,15,17,19,20,21,23,24,42,67,71,88,92,
93,173],[1,2,3,4,6,15,19,20,21,23,24,41,67,71,86,89,94,174],[1,3,8,14,28,47,
90,175],[1,3,4,6,13,19,20,21,24,41,63,70,87,89,94,176],[1,3,8,14,28,46,91,
177],[1,3,8,12,28,47,90,178],[1,3,8,11,28,46,91,179],[1,2,3,4,5,7,15,17,18,22,
25,26,27,43,69,72,84,99,104,180],[1,2,3,4,5,6,15,17,18,20,22,23,24,40,69,71,
83,100,102,181],[1,2,3,4,6,7,8,15,20,23,24,25,26,27,28,50,71,72,98,103,105,
182],[1,3,7,8,14,27,28,49,101,183],[1,2,3,4,11,12,15,16,39,51,52,53,107,108,
109,184],[1,2,3,4,7,9,10,13,14,15,25,26,27,29,30,33,36,37,56,72,77,113,118,
121,185],[1,2,3,4,6,9,10,13,14,15,19,20,21,23,24,29,30,33,36,37,55,57,60,61,
63,67,68,70,71,77,110,112,115,119,120,124,125,186],[1,2,3,4,5,9,11,12,14,15,
17,18,22,31,32,33,35,39,54,58,59,64,65,66,69,76,111,114,116,117,122,123,126,
187],[1,4,5,7,18,25,43,45,84,96,130,188],[1,2,5,6,17,23,40,41,83,86,128,189],[
1,3,5,6,20,21,40,41,42,80,93,94,129,190],[1,3,5,6,20,22,40,41,80,102,128,
191],[1,2,5,6,17,23,40,41,42,83,86,88,129,192],[1,4,5,6,18,19,24,40,41,42,81,
89,92,100,129,193],[1,2,5,7,17,26,43,45,97,99,130,194],[1,3,5,7,22,27,43,45,
82,104,130,195],[1,4,5,6,18,24,40,41,87,100,128,196],[1,4,5,6,19,24,40,41,42,
87,89,92,129,197],[1,4,5,6,7,8,18,24,25,40,43,44,84,100,137,198],[1,4,5,6,7,8,
18,24,25,40,43,44,50,84,100,103,136,199],[1,2,5,6,7,8,17,23,26,40,43,44,83,99,
139,200],[1,2,5,6,7,17,23,26,40,43,83,99,131,201],[1,2,5,6,7,8,17,23,26,40,43,
44,83,99,137,202],[1,4,5,6,7,8,18,24,25,40,43,44,84,100,139,203],[1,4,5,6,7,
18,24,25,40,43,84,100,131,204],[1,3,5,6,7,20,22,27,40,43,102,104,131,205],[1,
2,5,6,7,8,17,23,26,40,43,44,50,83,99,105,136,206],[1,3,5,8,22,28,44,106,132,
207],[1,3,5,8,22,28,44,47,90,106,134,208],[1,3,5,6,20,21,22,40,41,42,85,93,94,
102,129,209],[1,3,5,8,22,28,44,46,91,106,133,210],[1,3,5,6,8,20,22,28,40,44,
102,106,135,211],[1,4,5,6,18,24,40,48,95,100,146,212],[1,4,5,6,18,24,40,48,95,
100,142,213],[1,4,5,6,18,24,40,48,95,100,143,214],[1,4,5,6,18,24,40,48,95,100,
144,215],[1,3,5,7,8,22,27,28,43,44,104,106,138,216],[1,3,5,7,8,22,27,28,43,44,
104,106,141,217],[1,3,5,6,7,8,20,22,27,28,40,43,44,102,104,106,137,218],[1,3,
5,6,7,8,20,22,27,28,40,43,44,102,104,106,139,219],[1,3,5,7,8,22,27,28,43,44,
49,101,104,106,140,220],[1,3,5,6,7,8,20,22,27,28,40,43,44,50,98,102,104,106,
136,221],[1,3,5,7,8,22,27,28,43,44,104,106,145,222],[1,3,7,10,16,27,52,56,
223],[1,3,8,10,16,28,52,62,224],[1,3,6,9,11,12,20,31,41,80,148,149,151,225],[
1,3,4,6,9,10,13,19,20,21,24,30,41,55,63,80,89,94,148,152,154,226],[1,3,7,9,11,
12,27,31,45,82,150,153,155,227],[1,3,5,6,12,14,21,22,32,42,54,65,66,68,85,117,
158,170,228],[1,3,6,10,14,20,21,36,41,55,80,94,154,159,229],[1,3,5,6,10,14,20,
21,22,36,42,55,60,66,68,85,93,125,158,168,230],[1,3,6,14,20,38,41,80,159,
231],[1,3,6,14,20,34,41,80,159,232],[1,3,5,6,11,14,21,22,35,42,58,64,66,68,85,
114,158,165,233],[1,2,3,4,6,9,14,15,20,23,24,33,41,71,80,86,87,148,157,159,
234],[1,2,3,4,5,6,9,14,15,17,18,19,21,22,23,33,42,57,59,66,67,68,69,81,85,88,
115,126,156,158,160,235],[1,3,5,6,14,21,22,38,42,66,68,85,158,236],[1,3,4,5,6,
13,14,19,21,22,24,37,42,61,66,68,70,85,92,120,158,166,237],[1,3,5,6,14,21,22,
34,42,66,68,85,158,238],[1,3,6,12,14,20,32,41,80,149,159,239],[1,3,4,6,13,14,
19,20,24,37,41,63,80,89,152,159,240],[1,3,6,11,14,20,35,41,80,151,159,241],[1,
3,4,5,6,9,10,13,19,20,21,22,24,30,42,55,57,59,60,61,70,85,92,93,112,119,156,
166,168,242],[1,2,3,4,6,7,8,10,13,15,19,21,23,26,29,50,56,60,61,62,67,105,110,
118,164,243],[1,2,3,4,6,10,13,15,19,20,21,23,24,29,41,55,63,67,70,71,80,86,87,
89,94,124,152,154,157,174,176,244],[1,2,3,4,7,11,12,15,25,26,27,39,45,72,82,
96,97,150,171,172,245],[1,3,5,6,9,11,12,21,22,31,42,54,57,58,59,64,65,85,111,
123,156,165,170,246],[1,2,3,4,5,6,10,13,15,17,18,19,20,21,22,23,24,29,42,55,
60,61,63,67,69,70,71,81,85,88,92,93,110,124,160,162,166,168,173,247],[1,2,3,4,
7,11,12,15,25,26,27,39,45,72,82,96,97,155,167,172,248],[1,2,3,4,5,6,11,12,15,
17,18,19,21,22,23,39,42,54,58,64,65,67,69,81,85,88,116,122,160,165,170,249],[
1,3,7,9,11,12,27,31,45,82,153,167,171,250],[1,2,3,4,7,9,14,15,25,26,27,33,45,
72,82,96,97,153,169,172,251],[1,3,6,7,8,10,14,20,21,27,28,36,50,55,56,60,62,
68,98,121,125,127,164,252],[1,3,4,6,7,8,9,10,13,21,24,25,30,50,56,57,60,62,70,
103,113,119,164,253],[1,2,3,4,6,11,12,15,20,23,24,39,41,71,80,86,87,149,151,
157,254],[1,3,7,12,14,27,32,45,82,155,169,171,255],[1,3,7,11,14,27,35,45,82,
150,167,169,256],[1,3,8,11,14,28,35,46,91,163,177,179,257],[1,3,8,12,14,28,32,
47,90,161,175,178,258],[1,5,6,40,41,42,128,129,259],[1,5,6,7,8,40,41,43,44,50,
128,131,135,136,137,139,260],[1,5,6,40,41,48,128,142,143,144,146,261],[1,5,6,
7,8,40,43,44,45,49,50,130,131,136,137,138,139,140,141,145,262],[1,5,6,7,40,41,
42,43,48,129,131,142,263],[1,5,6,7,40,43,48,131,143,144,146,264],[1,5,6,7,8,
40,43,44,46,47,49,50,132,133,134,135,136,137,138,139,140,141,145,265],[1,5,6,
8,40,41,42,44,48,129,135,142,266],[1,5,6,8,40,44,48,135,143,144,146,267],[1,3,
5,6,10,20,21,40,41,42,55,80,93,94,129,154,190,268],[1,3,4,5,6,13,18,19,20,21,
24,40,41,42,61,63,80,81,89,92,93,94,100,129,152,162,190,193,269],[1,3,5,6,11,
20,22,40,41,58,80,102,128,151,191,270],[1,3,5,6,12,20,22,40,41,54,80,102,128,
149,191,271],[1,3,5,6,9,20,22,40,41,59,80,102,128,148,191,272],[1,3,5,6,9,20,
21,40,41,42,57,80,93,94,129,148,190,273],[1,2,3,4,5,6,15,17,19,20,21,23,24,40,
41,42,67,71,80,83,86,87,88,89,92,93,94,129,157,173,174,190,192,197,274],[1,3,
5,7,11,22,27,43,45,58,82,104,130,167,195,275],[1,3,4,5,6,13,19,20,21,24,40,41,
42,63,70,80,87,89,92,93,94,129,152,176,190,197,276],[1,2,3,4,5,7,15,17,18,22,
25,26,27,43,45,69,72,82,84,96,97,99,104,130,172,180,188,194,195,277],[1,3,5,7,
9,22,27,43,45,59,82,104,130,153,195,278],[1,2,3,4,5,6,15,17,18,20,22,23,24,40,
41,69,71,80,83,86,87,100,102,128,157,181,189,191,196,279],[1,3,5,7,12,22,27,
43,45,54,82,104,130,171,195,280],[1,3,5,7,12,22,27,43,45,65,82,104,130,155,
195,281],[1,3,5,6,10,20,21,22,40,41,42,55,60,80,85,93,94,102,129,154,168,190,
209,282],[1,3,5,6,14,20,22,40,41,66,80,102,128,159,191,283],[1,3,5,7,11,22,27,
43,45,64,82,104,130,150,195,284],[1,3,5,6,12,20,22,40,41,65,80,102,128,149,
191,285],[1,3,5,7,14,22,27,43,45,66,82,104,130,169,195,286],[1,3,5,6,11,20,22,
40,41,64,80,102,128,151,191,287],[1,3,5,6,14,20,21,40,41,42,68,80,93,94,129,
159,190,288],[1,3,5,8,12,22,28,44,47,65,90,106,134,161,208,289],[1,2,3,4,5,6,
15,17,18,19,20,21,22,23,24,40,41,42,67,69,71,81,83,85,86,88,89,92,93,94,100,
102,129,160,173,174,181,192,193,209,290],[1,3,5,8,11,22,28,44,46,64,91,106,
133,163,210,291],[1,3,5,8,14,22,28,44,47,66,90,106,134,175,208,292],[1,3,5,8,
12,22,28,44,47,54,90,106,134,178,208,293],[1,3,5,8,11,22,28,44,46,58,91,106,
133,179,210,294],[1,3,5,8,12,22,28,44,65,106,132,207,295],[1,3,4,5,6,13,18,19,
20,21,22,24,40,41,42,61,63,70,81,85,87,89,92,93,94,100,102,129,162,166,176,
193,197,209,296],[1,3,5,8,14,22,28,44,46,66,91,106,133,177,210,297],[1,3,5,8,
9,22,28,44,59,106,132,207,298],[1,3,5,8,11,22,28,44,64,106,132,207,299],[1,3,
5,7,8,14,22,27,28,43,44,49,66,101,104,106,140,183,220,300],[1,2,3,4,5,6,7,8,
15,17,18,20,22,23,24,25,26,27,28,40,43,44,69,71,72,83,84,99,100,102,104,106,
137,180,181,198,202,218,301],[1,3,5,7,8,11,22,27,28,43,44,64,104,106,138,216,
302],[1,2,3,4,5,6,7,8,15,17,18,20,22,23,24,25,26,27,28,40,43,44,50,69,71,72,
83,84,98,99,100,102,103,104,105,106,136,180,181,182,199,206,221,303],[1,3,5,7,
8,12,22,27,28,43,44,65,104,106,141,217,304],[1,2,3,4,5,6,7,8,15,17,18,20,22,
23,24,25,26,27,28,40,43,44,69,71,72,83,84,99,100,102,104,106,139,180,181,200,
203,219,305],[1,2,3,4,5,6,7,15,17,18,20,22,23,24,25,26,27,40,43,69,71,72,83,
84,99,100,102,104,131,180,181,201,204,205,306],[1,2,3,4,7,10,13,15,16,25,26,
27,29,51,52,53,56,72,107,118,223,307],[1,3,4,6,11,13,14,19,20,24,34,35,37,41,
63,79,80,89,151,152,159,232,240,241,308],[1,3,4,5,6,12,13,14,19,21,22,24,32,
37,38,42,54,61,65,66,68,70,73,85,92,117,120,158,166,170,228,236,237,309],[1,3,
4,6,12,13,14,19,20,24,32,37,38,41,63,73,80,89,149,152,159,231,239,240,310],[1,
2,3,4,5,6,9,14,15,17,18,19,21,22,23,33,34,38,42,57,59,66,67,68,69,75,81,85,88,
115,126,156,158,160,235,236,238,311],[1,2,3,4,6,9,14,15,20,23,24,33,34,38,41,
71,75,80,86,87,148,157,159,231,232,234,312],[1,2,3,4,5,6,9,11,12,14,15,17,18,
19,21,22,23,31,32,33,35,39,42,54,57,58,59,64,65,66,67,68,69,76,81,85,88,111,
114,115,116,117,122,123,126,156,158,160,165,170,187,228,233,235,246,249,313],[
1,2,3,4,6,9,10,13,14,15,19,20,21,23,24,29,30,33,36,37,41,55,63,67,70,71,77,80,
86,87,89,94,124,148,152,154,157,159,174,176,226,229,234,240,244,314],[1,3,5,6,
10,12,14,20,21,22,32,34,36,42,54,55,60,65,66,68,74,85,93,117,125,158,168,170,
228,230,238,315],[1,3,5,6,10,11,14,20,21,22,35,36,38,42,55,58,60,64,66,68,78,
85,93,114,125,158,165,168,230,233,236,316],[1,2,3,4,5,6,9,10,13,14,15,17,18,
19,20,21,22,23,24,29,30,33,36,37,42,55,57,59,60,61,63,66,67,68,69,70,71,77,81,
85,88,92,93,110,112,115,119,120,124,125,126,156,158,160,162,166,168,173,186,
230,235,237,242,247,317],[1,3,4,5,6,11,13,14,19,21,22,24,34,35,37,42,58,61,64,
66,68,70,79,85,92,114,120,158,165,166,233,237,238,318],[1,2,3,4,6,9,11,12,14,
15,20,23,24,31,32,33,35,39,41,71,76,80,86,87,148,149,151,157,159,225,234,239,
241,254,319],[1,3,6,10,11,14,20,21,35,36,38,41,55,78,80,94,151,154,159,229,
231,241,320],[1,3,6,10,12,14,20,21,32,34,36,41,55,74,80,94,149,154,159,229,
232,239,321],[1,2,3,4,7,9,11,12,14,15,25,26,27,31,32,33,35,39,45,72,76,82,96,
97,150,153,155,167,169,171,172,227,245,248,250,251,255,256,322],[1,2,3,4,6,7,
8,9,10,13,14,15,19,20,21,23,24,25,26,27,28,29,30,33,36,37,50,55,56,57,60,61,
62,63,67,68,70,71,72,77,98,103,105,110,112,113,115,118,119,120,121,124,125,
127,164,182,185,186,243,252,253,323],[1,2,5,6,17,23,40,41,42,83,86,88,128,129,
189,192,259,324],[1,4,5,6,18,19,24,40,41,42,81,87,89,92,100,128,129,193,196,
197,259,325],[1,3,5,6,20,21,22,40,41,42,80,85,93,94,102,128,129,190,191,209,
259,326],[1,4,5,6,7,18,19,24,25,40,41,42,43,48,81,84,89,92,95,100,129,131,142,
193,204,213,263,327],[1,2,5,6,7,8,17,23,26,40,41,43,44,50,83,86,99,105,128,
131,135,136,137,139,189,200,201,202,206,260,328],[1,3,5,6,7,8,20,22,27,28,40,
41,43,44,50,80,98,102,104,106,128,131,135,136,137,139,191,205,211,218,219,221,
260,329],[1,4,5,6,7,8,18,24,25,40,43,44,45,49,50,84,96,100,103,130,131,136,
137,138,139,140,141,145,188,198,199,203,204,262,330],[1,4,5,6,7,18,24,25,40,
43,48,84,95,100,131,143,144,146,204,212,214,215,264,331],[1,4,5,6,7,8,18,24,
25,40,41,43,44,50,84,87,100,103,128,131,135,136,137,139,196,198,199,203,204,
260,332],[1,3,5,6,7,20,21,22,27,40,41,42,43,48,85,93,94,102,104,129,131,142,
205,209,263,333],[1,2,5,6,7,17,23,26,40,41,42,43,48,83,86,88,99,129,131,142,
192,201,263,334],[1,3,5,6,7,8,20,22,27,28,40,43,44,45,49,50,82,98,101,102,104,
106,130,131,136,137,138,139,140,141,145,195,205,216,217,218,219,220,221,222,
262,335],[1,2,5,6,7,8,17,23,26,40,43,44,45,49,50,83,97,99,105,130,131,136,137,
138,139,140,141,145,194,200,201,202,206,262,336],[1,4,5,6,18,24,40,41,48,87,
95,100,128,142,143,144,146,196,212,213,214,215,261,337],[1,3,5,6,8,20,21,22,
28,40,41,42,44,48,85,93,94,102,106,129,135,142,209,211,266,338],[1,3,5,6,7,8,
20,22,27,28,40,43,44,46,47,49,50,90,91,98,101,102,104,106,132,133,134,135,136,
137,138,139,140,141,145,207,208,210,211,216,217,218,219,220,221,222,265,339],[
1,2,3,4,5,6,10,13,15,17,19,20,21,23,24,29,40,41,42,55,63,67,70,71,80,83,86,87,
88,89,92,93,94,124,129,152,154,157,173,174,176,190,192,197,244,268,274,276,
340],[1,3,5,6,9,11,12,20,22,31,40,41,54,58,59,80,102,111,128,148,149,151,191,
225,270,271,272,341],[1,3,4,5,6,9,10,13,18,19,20,21,24,30,40,41,42,55,57,61,
63,80,81,89,92,93,94,100,112,129,148,152,154,162,190,193,226,268,269,273,
342],[1,3,4,5,6,13,14,18,19,20,21,24,37,40,41,42,61,63,68,70,80,81,87,89,92,
93,94,100,120,129,152,159,162,176,190,193,197,240,269,276,288,343],[1,3,4,5,6,
9,10,13,19,20,21,22,24,30,40,41,42,55,57,60,63,70,80,85,87,89,92,93,94,102,
119,129,148,152,154,168,176,190,197,209,226,273,276,282,344],[1,3,5,7,11,14,
22,27,35,43,45,58,64,66,82,104,114,130,150,167,169,195,256,275,284,286,345],[
1,3,5,7,12,14,22,27,32,43,45,54,65,66,82,104,117,130,155,169,171,195,255,280,
281,286,346],[1,2,3,4,5,6,10,13,15,17,18,19,20,21,22,23,24,29,40,41,42,55,60,
61,63,67,69,70,71,80,81,83,85,86,87,88,89,92,93,94,100,102,110,124,129,152,
154,157,160,162,166,168,173,174,176,181,190,192,193,197,209,244,247,269,274,
282,290,296,347],[1,3,5,7,9,11,12,22,27,31,43,45,54,58,59,82,104,111,130,153,
167,171,195,250,275,278,280,348],[1,2,3,4,5,7,11,12,15,17,18,22,25,26,27,39,
43,45,58,65,69,72,82,84,96,97,99,104,116,130,155,167,172,180,188,194,195,248,
275,277,281,349],[1,3,5,6,10,14,20,21,22,36,40,41,42,55,60,68,80,85,93,94,102,
125,129,154,159,168,190,209,229,268,282,288,350],[1,2,3,4,5,7,9,14,15,17,18,
22,25,26,27,33,43,45,59,66,69,72,82,84,96,97,99,104,126,130,153,169,172,180,
188,194,195,251,277,278,286,351],[1,3,5,7,9,11,12,22,27,31,43,45,59,64,65,82,
104,123,130,150,153,155,195,227,278,281,284,352],[1,2,3,4,5,6,9,14,15,17,19,
20,21,23,24,33,40,41,42,57,67,68,71,80,83,86,87,88,89,92,93,94,115,129,148,
157,159,173,174,190,192,197,234,273,274,288,353],[1,2,3,4,5,7,11,12,15,17,18,
22,25,26,27,39,43,45,54,64,69,72,82,84,96,97,99,104,122,130,150,171,172,180,
188,194,195,245,277,280,284,354],[1,3,5,6,11,14,20,22,35,40,41,58,64,66,80,
102,114,128,151,159,191,241,270,283,287,355],[1,2,3,4,5,6,11,12,15,17,18,20,
22,23,24,39,40,41,58,65,69,71,80,83,86,87,100,102,116,128,149,151,157,181,189,
191,196,254,270,279,285,356],[1,2,3,4,5,6,9,14,15,17,18,20,22,23,24,33,40,41,
59,66,69,71,80,83,86,87,100,102,126,128,148,157,159,181,189,191,196,234,272,
279,283,357],[1,2,3,4,5,6,11,12,15,17,18,20,22,23,24,39,40,41,54,64,69,71,80,
83,86,87,100,102,122,128,149,151,157,181,189,191,196,254,271,279,287,358],[1,
3,5,6,9,11,12,20,22,31,40,41,59,64,65,80,102,123,128,148,149,151,191,225,272,
285,287,359],[1,3,5,6,12,14,20,22,32,40,41,54,65,66,80,102,117,128,149,159,
191,239,271,283,285,360],[1,3,5,8,9,11,12,22,28,31,44,59,64,65,106,123,132,
207,295,298,299,361],[1,3,5,8,11,14,22,28,35,44,46,58,64,66,91,106,114,133,
163,177,179,210,257,291,294,297,362],[1,3,5,8,12,14,22,28,32,44,47,54,65,66,
90,106,117,134,161,175,178,208,258,289,292,293,363],[1,5,6,7,8,40,41,43,44,45,
46,47,49,50,128,130,131,132,133,134,135,136,137,138,139,140,141,145,260,262,
265,364],[1,5,6,7,8,40,41,42,43,44,48,50,128,129,131,135,136,137,139,142,143,
144,146,259,260,261,263,266,365],[1,5,6,7,8,40,41,43,44,48,50,128,131,135,136,
137,139,142,143,144,146,260,261,264,267,366],[1,2,3,4,6,9,10,11,12,13,14,15,
19,20,21,23,24,29,30,31,32,33,34,35,36,37,38,39,41,55,63,67,70,71,73,74,75,76,
77,78,79,80,86,87,89,94,124,147,148,149,151,152,154,157,159,174,176,225,226,
229,231,232,234,239,240,241,244,254,308,310,312,314,319,320,321,367],[1,2,3,4,
5,6,9,10,11,12,13,14,15,17,18,19,20,21,22,23,24,29,30,31,32,33,34,35,36,37,38,
39,42,54,55,57,58,59,60,61,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,81,
85,88,92,93,110,111,112,114,115,116,117,119,120,122,123,124,125,126,147,156,
158,160,162,165,166,168,170,173,186,187,228,230,233,235,236,237,238,242,246,
247,249,309,311,313,315,316,317,318,368],[1,3,5,6,7,10,20,21,40,41,42,43,48,
55,56,80,93,94,129,131,142,154,190,263,268,369],[1,3,5,6,10,20,21,22,40,41,42,
55,60,80,85,93,94,102,128,129,154,168,190,191,209,259,268,282,326,370],[1,2,3,
4,5,6,15,17,18,19,20,21,22,23,24,40,41,42,67,69,71,80,81,83,85,86,87,88,89,92,
93,94,100,102,128,129,157,160,173,174,181,189,190,191,192,193,196,197,209,259,
274,279,290,324,325,326,371],[1,3,5,6,9,20,21,22,40,41,42,57,59,80,85,93,94,
102,128,129,148,156,190,191,209,259,272,273,326,372],[1,3,5,6,14,20,21,22,40,
41,42,66,68,80,85,93,94,102,128,129,158,159,190,191,209,259,283,288,326,373],[
1,3,5,6,8,10,20,21,40,41,42,44,48,55,62,80,93,94,129,135,142,154,190,266,268,
374],[1,3,5,6,11,20,21,22,40,41,42,58,64,80,85,93,94,102,128,129,151,165,190,
191,209,259,270,287,326,375],[1,3,4,5,6,13,18,19,20,21,22,24,40,41,42,61,63,
70,80,81,85,87,89,92,93,94,100,102,128,129,152,162,166,176,190,191,193,196,
197,209,259,269,276,296,325,326,376],[1,3,5,6,12,20,21,22,40,41,42,54,65,80,
85,93,94,102,128,129,149,170,190,191,209,259,271,285,326,377],[1,2,3,4,5,6,7,
8,15,17,18,20,22,23,24,25,26,27,28,40,43,44,45,49,50,69,71,72,82,83,84,96,97,
98,99,100,101,102,103,104,105,106,130,131,136,137,138,139,140,141,145,172,180,
181,182,188,194,195,198,199,200,201,202,203,204,205,206,216,217,218,219,220,
221,222,262,277,301,303,305,306,330,335,336,378],[1,2,3,4,5,6,7,15,17,18,19,
20,21,22,23,24,25,26,27,40,41,42,43,48,67,69,71,72,81,83,84,85,86,88,89,92,93,
94,95,99,100,102,104,129,131,142,160,173,174,180,181,192,193,201,204,205,209,
213,263,290,306,327,333,334,379],[1,2,3,4,5,6,7,8,15,17,18,20,22,23,24,25,26,
27,28,40,41,43,44,50,69,71,72,80,83,84,86,87,98,99,100,102,103,104,105,106,
128,131,135,136,137,139,157,180,181,182,189,191,196,198,199,200,201,202,203,
204,205,206,211,218,219,221,260,279,301,303,305,306,328,329,332,380],[1,3,7,
10,14,16,27,36,45,52,56,82,121,169,223,381],[1,3,8,10,14,16,28,36,47,52,62,90,
127,175,224,382],[1,3,8,10,14,16,28,36,46,52,62,91,127,177,224,383],[1,3,7,8,
10,14,16,27,28,36,49,52,56,62,101,121,127,183,223,224,384],[1,5,6,16,40,41,42,
128,129,259,385],[1,2,3,4,5,7,9,11,12,14,15,17,18,22,25,26,27,31,32,33,35,39,
43,45,54,58,59,64,65,66,69,72,76,82,84,96,97,99,104,111,114,116,117,122,123,
126,130,150,153,155,167,169,171,172,180,187,188,194,195,227,245,248,250,251,
255,256,275,277,278,280,281,284,286,322,345,346,348,349,351,352,354,386],[1,2,
3,4,5,6,9,11,12,14,15,17,18,20,22,23,24,31,32,33,35,39,40,41,54,58,59,64,65,
66,69,71,76,80,83,86,87,100,102,111,114,116,117,122,123,126,128,148,149,151,
157,159,181,187,189,191,196,225,234,239,241,254,270,271,272,279,283,285,287,
319,341,355,356,357,358,359,360,387],[1,2,3,4,5,6,9,10,13,14,15,17,18,19,20,
21,22,23,24,29,30,33,36,37,40,41,42,55,57,60,61,63,67,68,69,70,71,77,80,81,83,
85,86,87,88,89,92,93,94,100,102,110,112,115,119,120,124,125,129,148,152,154,
157,159,160,162,166,168,173,174,176,181,186,190,192,193,197,209,226,229,234,
240,244,247,268,269,273,274,276,282,288,290,296,314,340,342,343,344,347,350,
353,388],[1,3,5,6,7,8,20,22,27,28,40,41,43,44,45,46,47,49,50,80,82,90,91,98,
101,102,104,106,128,130,131,132,133,134,135,136,137,138,139,140,141,145,191,
195,205,207,208,210,211,216,217,218,219,220,221,222,260,262,265,329,335,339,
364,389],[1,4,5,6,7,8,18,24,25,40,41,43,44,45,46,47,49,50,84,87,96,100,103,
128,130,131,132,133,134,135,136,137,138,139,140,141,145,188,196,198,199,203,
204,260,262,265,330,332,364,390],[1,2,5,6,7,8,17,23,26,40,41,43,44,45,46,47,
49,50,83,86,97,99,105,128,130,131,132,133,134,135,136,137,138,139,140,141,145,
189,194,200,201,202,206,260,262,265,328,336,364,391],[1,2,5,6,7,8,17,23,26,40,
41,42,43,44,48,50,83,86,88,99,105,128,129,131,135,136,137,139,142,143,144,146,
189,192,200,201,202,206,259,260,261,263,266,324,328,334,365,392],[1,4,5,6,7,8,
18,19,24,25,40,41,42,43,44,48,50,81,84,87,89,92,95,100,103,128,129,131,135,
136,137,139,142,143,144,146,193,196,197,198,199,203,204,212,213,214,215,259,
260,261,263,266,325,327,332,337,365,393],[1,3,5,6,7,8,20,21,22,27,28,40,41,42,
43,44,48,50,80,85,93,94,98,102,104,106,128,129,131,135,136,137,139,142,143,
144,146,190,191,205,209,211,218,219,221,259,260,261,263,266,326,329,333,338,
365,394],[1,4,5,6,7,8,18,24,25,40,41,43,44,48,50,84,87,95,100,103,128,131,135,
136,137,139,142,143,144,146,196,198,199,203,204,212,213,214,215,260,261,264,
267,331,332,337,366,395],[1,2,3,4,5,6,10,13,15,17,18,19,20,21,22,23,24,29,40,
41,42,55,60,61,63,67,69,70,71,80,81,83,85,86,87,88,89,92,93,94,100,102,110,
124,128,129,152,154,157,160,162,166,168,173,174,176,181,189,190,191,192,193,
196,197,209,244,247,259,268,269,274,276,279,282,290,296,324,325,326,340,347,
370,371,376,396],[1,3,4,5,6,7,9,10,13,18,19,20,21,24,25,30,40,41,42,43,48,55,
56,57,61,63,80,81,84,89,92,93,94,95,100,112,113,129,131,142,148,152,154,162,
190,193,204,213,226,263,268,269,273,327,342,369,397],[1,3,5,6,11,14,20,21,22,
35,40,41,42,58,64,66,68,80,85,93,94,102,114,128,129,151,158,159,165,190,191,
209,233,241,259,270,283,287,288,326,355,373,375,398],[1,3,5,6,14,20,21,22,38,
40,41,42,66,68,80,85,93,94,102,128,129,158,159,190,191,209,231,236,259,283,
288,326,373,399],[1,3,5,6,14,20,21,22,34,40,41,42,66,68,80,85,93,94,102,128,
129,158,159,190,191,209,232,238,259,283,288,326,373,400],[1,3,5,6,12,14,20,21,
22,32,40,41,42,54,65,66,68,80,85,93,94,102,117,128,129,149,158,159,170,190,
191,209,228,239,259,271,283,285,288,326,360,373,377,401],[1,3,5,6,10,14,20,21,
22,36,40,41,42,55,60,66,68,80,85,93,94,102,125,128,129,154,158,159,168,190,
191,209,229,230,259,268,282,283,288,326,350,370,373,402],[1,2,3,4,5,6,9,14,15,
17,18,19,20,21,22,23,24,33,40,41,42,57,59,66,67,68,69,71,80,81,83,85,86,87,88,
89,92,93,94,100,102,115,126,128,129,148,156,157,158,159,160,173,174,181,189,
190,191,192,193,196,197,209,234,235,259,272,273,274,279,283,288,290,324,325,
326,353,357,371,372,373,403],[1,3,4,5,6,13,14,18,19,20,21,22,24,37,40,41,42,
61,63,66,68,70,80,81,85,87,89,92,93,94,100,102,120,128,129,152,158,159,162,
166,176,190,191,193,196,197,209,237,240,259,269,276,283,288,296,325,326,343,
373,376,404],[1,3,4,5,6,9,10,13,18,19,20,21,22,24,30,40,41,42,55,57,59,60,61,
63,70,80,81,85,87,89,92,93,94,100,102,112,119,128,129,148,152,154,156,162,166,
168,176,190,191,193,196,197,209,226,242,259,268,269,272,273,276,282,296,325,
326,342,344,370,372,376,405],[1,2,3,4,5,6,11,12,15,17,18,19,20,21,22,23,24,39,
40,41,42,54,58,64,65,67,69,71,80,81,83,85,86,87,88,89,92,93,94,100,102,116,
122,128,129,149,151,157,160,165,170,173,174,181,189,190,191,192,193,196,197,
209,249,254,259,270,271,274,279,285,287,290,324,325,326,356,358,371,375,377,
406],[1,3,5,6,9,11,12,20,21,22,31,40,41,42,54,57,58,59,64,65,80,85,93,94,102,
111,123,128,129,148,149,151,156,165,170,190,191,209,225,246,259,270,271,272,
273,285,287,326,341,359,372,375,377,407],[1,3,5,6,7,10,14,20,21,22,27,36,40,
41,42,43,48,55,56,60,68,80,85,93,94,102,104,121,125,129,131,142,154,159,168,
190,205,209,229,263,268,282,288,333,350,369,408],[1,2,3,4,5,6,7,10,13,15,17,
19,20,21,23,24,26,29,40,41,42,43,48,55,56,63,67,70,71,80,83,86,87,88,89,92,93,
94,99,118,124,129,131,142,152,154,157,173,174,176,190,192,197,201,244,263,268,
274,276,334,340,369,409],[1,3,5,6,8,10,14,20,21,22,28,36,40,41,42,44,48,55,60,
62,68,80,85,93,94,102,106,125,127,129,135,142,154,159,168,190,209,211,229,266,
268,282,288,338,350,374,410],[1,3,7,10,12,14,16,27,32,34,36,45,52,56,74,82,
109,121,155,169,171,223,255,381,411],[1,3,7,10,11,14,16,27,35,36,38,45,52,56,
78,82,108,121,150,167,169,223,256,381,412],[1,2,3,4,7,9,10,13,14,15,16,25,26,
27,29,30,33,36,37,45,51,52,53,56,72,77,82,96,97,107,113,118,121,153,169,172,
185,223,251,307,381,413],[1,3,8,10,11,14,16,28,35,36,38,46,52,62,78,91,108,
127,163,177,179,224,257,383,414],[1,3,8,10,12,14,16,28,32,34,36,47,52,62,74,
90,109,127,161,175,178,224,258,382,415],[1,5,6,7,8,40,41,42,43,44,45,46,47,48,
49,50,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,
146,259,260,261,262,263,264,265,266,267,364,365,366,416],[1,3,5,6,16,20,21,22,
40,41,42,52,80,85,93,94,102,128,129,190,191,209,259,326,385,417],[1,4,5,6,16,
18,19,24,40,41,42,51,81,87,89,92,100,128,129,193,196,197,259,325,385,418],[1,
2,5,6,16,17,23,40,41,42,53,83,86,88,128,129,189,192,259,324,385,419],[1,3,5,6,
7,8,11,20,22,27,28,40,41,43,44,45,46,47,49,50,58,80,82,90,91,98,101,102,104,
106,128,130,131,132,133,134,135,136,137,138,139,140,141,145,151,167,179,191,
195,205,207,208,210,211,216,217,218,219,220,221,222,260,262,265,270,275,294,
329,335,339,364,389,420],[1,3,5,6,7,8,9,20,22,27,28,40,41,43,44,45,46,47,49,
50,59,80,82,90,91,98,101,102,104,106,128,130,131,132,133,134,135,136,137,138,
139,140,141,145,148,153,191,195,205,207,208,210,211,216,217,218,219,220,221,
222,260,262,265,272,278,298,329,335,339,364,389,421],[1,3,5,6,7,8,12,20,22,27,
28,40,41,43,44,45,46,47,49,50,54,80,82,90,91,98,101,102,104,106,128,130,131,
132,133,134,135,136,137,138,139,140,141,145,149,171,178,191,195,205,207,208,
210,211,216,217,218,219,220,221,222,260,262,265,271,280,293,329,335,339,364,
389,422],[1,3,5,6,7,8,12,20,22,27,28,40,41,43,44,45,46,47,49,50,65,80,82,90,
91,98,101,102,104,106,128,130,131,132,133,134,135,136,137,138,139,140,141,145,
149,155,161,191,195,205,207,208,210,211,216,217,218,219,220,221,222,260,262,
265,281,285,289,295,304,329,335,339,364,389,423],[1,3,5,6,7,8,14,20,22,27,28,
40,41,43,44,45,46,47,49,50,66,80,82,90,91,98,101,102,104,106,128,130,131,132,
133,134,135,136,137,138,139,140,141,145,159,169,175,177,183,191,195,205,207,
208,210,211,216,217,218,219,220,221,222,260,262,265,283,286,292,297,300,329,
335,339,364,389,424],[1,3,5,6,7,8,10,20,21,22,40,41,42,43,44,48,50,55,56,60,
62,80,85,93,94,102,128,129,131,135,136,137,139,142,143,144,146,154,164,168,
190,191,209,259,260,261,263,266,268,282,326,365,369,370,374,425],[1,2,3,4,5,6,
7,8,15,17,18,20,22,23,24,25,26,27,28,40,41,43,44,45,46,47,49,50,69,71,72,80,
82,83,84,86,87,90,91,96,97,98,99,100,101,102,103,104,105,106,128,130,131,132,
133,134,135,136,137,138,139,140,141,145,157,172,180,181,182,188,189,191,194,
195,196,198,199,200,201,202,203,204,205,206,207,208,210,211,216,217,218,219,
220,221,222,260,262,265,277,279,301,303,305,306,328,329,330,332,335,336,339,
364,378,380,389,390,391,426],[1,3,5,6,7,8,11,20,22,27,28,40,41,43,44,45,46,47,
49,50,64,80,82,90,91,98,101,102,104,106,128,130,131,132,133,134,135,136,137,
138,139,140,141,145,150,151,163,191,195,205,207,208,210,211,216,217,218,219,
220,221,222,260,262,265,284,287,291,299,302,329,335,339,364,389,427],[1,2,3,4,
5,6,7,8,15,17,18,19,20,21,22,23,24,25,26,27,28,40,41,42,43,44,48,50,67,69,71,
72,80,81,83,84,85,86,87,88,89,92,93,94,95,98,99,100,102,103,104,105,106,128,
129,131,135,136,137,139,142,143,144,146,157,160,173,174,180,181,182,189,190,
191,192,193,196,197,198,199,200,201,202,203,204,205,206,209,211,212,213,214,
215,218,219,221,259,260,261,263,266,274,279,290,301,303,305,306,324,325,326,
327,328,329,332,333,334,337,338,365,371,379,380,392,393,394,428],[1,2,3,4,5,6,
9,14,15,17,18,19,20,21,22,23,24,33,34,38,40,41,42,57,59,66,67,68,69,71,75,80,
81,83,85,86,87,88,89,92,93,94,100,102,115,126,128,129,148,156,157,158,159,160,
173,174,181,189,190,191,192,193,196,197,209,231,232,234,235,236,238,259,272,
273,274,279,283,288,290,311,312,324,325,326,353,357,371,372,373,399,400,403,
429],[1,2,3,4,5,6,9,11,12,14,15,17,18,19,20,21,22,23,24,31,32,33,35,39,40,41,
42,54,57,58,59,64,65,66,67,68,69,71,76,80,81,83,85,86,87,88,89,92,93,94,100,
102,111,114,115,116,117,122,123,126,128,129,148,149,151,156,157,158,159,160,
165,170,173,174,181,187,189,190,191,192,193,196,197,209,225,228,233,234,235,
239,241,246,249,254,259,270,271,272,273,274,279,283,285,287,288,290,313,319,
324,325,326,341,353,355,356,357,358,359,360,371,372,373,375,377,387,398,401,
403,406,407,430],[1,2,3,4,5,6,9,10,13,14,15,17,18,19,20,21,22,23,24,29,30,33,
36,37,40,41,42,55,57,59,60,61,63,66,67,68,69,70,71,77,80,81,83,85,86,87,88,89,
92,93,94,100,102,110,112,115,119,120,124,125,126,128,129,148,152,154,156,157,
158,159,160,162,166,168,173,174,176,181,186,189,190,191,192,193,196,197,209,
226,229,230,234,235,237,240,242,244,247,259,268,269,272,273,274,276,279,282,
283,288,290,296,314,317,324,325,326,340,342,343,344,347,350,353,357,370,371,
372,373,376,388,396,402,403,404,405,431],[1,3,4,5,6,11,13,14,18,19,20,21,22,
24,34,35,37,40,41,42,58,61,63,64,66,68,70,79,80,81,85,87,89,92,93,94,100,102,
114,120,128,129,151,152,158,159,162,165,166,176,190,191,193,196,197,209,232,
233,237,238,240,241,259,269,270,276,283,287,288,296,308,318,325,326,343,355,
373,375,376,398,400,404,432],[1,3,4,5,6,12,13,14,18,19,20,21,22,24,32,37,38,
40,41,42,54,61,63,65,66,68,70,73,80,81,85,87,89,92,93,94,100,102,117,120,128,
129,149,152,158,159,162,166,170,176,190,191,193,196,197,209,228,231,236,237,
239,240,259,269,271,276,283,285,288,296,309,310,325,326,343,360,373,376,377,
399,401,404,433],[1,3,5,6,10,11,14,20,21,22,35,36,38,40,41,42,55,58,60,64,66,
68,78,80,85,93,94,102,114,125,128,129,151,154,158,159,165,168,190,191,209,229,
230,231,233,236,241,259,268,270,282,283,287,288,316,320,326,350,355,370,373,
375,398,399,402,434],[1,3,5,6,10,12,14,20,21,22,32,34,36,40,41,42,54,55,60,65,
66,68,74,80,85,93,94,102,117,125,128,129,149,154,158,159,168,170,190,191,209,
228,229,230,232,238,239,259,268,271,282,283,285,288,315,321,326,350,360,370,
373,377,400,401,402,435],[1,2,3,4,5,6,7,9,10,13,14,15,17,18,19,20,21,22,23,24,
25,26,27,29,30,33,36,37,40,41,42,43,48,55,56,57,60,61,63,67,68,69,70,71,72,77,
80,81,83,84,85,86,87,88,89,92,93,94,95,99,100,102,104,110,112,113,115,118,119,
120,121,124,125,129,131,142,148,152,154,157,159,160,162,166,168,173,174,176,
180,181,185,186,190,192,193,197,201,204,205,209,213,226,229,234,240,244,247,
263,268,269,273,274,276,282,288,290,296,306,314,327,333,334,340,342,343,344,
347,350,353,369,379,388,397,408,409,436],[1,2,3,4,7,9,10,11,12,13,14,15,16,25,
26,27,29,30,31,32,33,34,35,36,37,38,39,45,51,52,53,56,72,73,74,75,76,77,78,79,
82,96,97,107,108,109,113,118,121,147,150,153,155,167,169,171,172,184,185,223,
227,245,248,250,251,255,256,307,322,381,411,412,413,437],[1,2,5,6,7,8,17,23,
26,40,41,42,43,44,45,46,47,48,49,50,83,86,88,97,99,105,128,129,130,131,132,
133,134,135,136,137,138,139,140,141,142,143,144,145,146,189,192,194,200,201,
202,206,259,260,261,262,263,264,265,266,267,324,328,334,336,364,365,366,391,
392,416,438],[1,3,5,6,7,8,20,21,22,27,28,40,41,42,43,44,45,46,47,48,49,50,80,
82,85,90,91,93,94,98,101,102,104,106,128,129,130,131,132,133,134,135,136,137,
138,139,140,141,142,143,144,145,146,190,191,195,205,207,208,209,210,211,216,
217,218,219,220,221,222,259,260,261,262,263,264,265,266,267,326,329,333,335,
338,339,364,365,366,389,394,416,439],[1,4,5,6,7,8,18,19,24,25,40,41,42,43,44,
45,46,47,48,49,50,81,84,87,89,92,95,96,100,103,128,129,130,131,132,133,134,
135,136,137,138,139,140,141,142,143,144,145,146,188,193,196,197,198,199,203,
204,212,213,214,215,259,260,261,262,263,264,265,266,267,325,327,330,331,332,
337,364,365,366,390,393,395,416,440],[1,3,5,6,12,16,20,21,22,40,41,42,52,54,
65,80,85,93,94,102,109,128,129,149,170,190,191,209,259,271,285,326,377,385,
417,441],[1,3,5,6,11,16,20,21,22,40,41,42,52,58,64,80,85,93,94,102,108,128,
129,151,165,190,191,209,259,270,287,326,375,385,417,442],[1,2,3,4,5,6,15,16,
17,18,19,20,21,22,23,24,40,41,42,51,52,53,67,69,71,80,81,83,85,86,87,88,89,92,
93,94,100,102,107,128,129,157,160,173,174,181,189,190,191,192,193,196,197,209,
259,274,279,290,324,325,326,371,385,417,418,419,443],[1,3,5,6,7,8,9,11,12,20,
22,27,28,31,40,41,43,44,45,46,47,49,50,54,58,59,80,82,90,91,98,101,102,104,
106,111,128,130,131,132,133,134,135,136,137,138,139,140,141,145,148,149,151,
153,167,171,178,179,191,195,205,207,208,210,211,216,217,218,219,220,221,222,
225,250,260,262,265,270,271,272,275,278,280,293,294,298,329,335,339,341,348,
364,389,420,421,422,444],[1,3,4,5,6,7,8,9,10,13,18,19,20,21,22,24,25,30,40,41,
42,43,44,48,50,55,56,57,59,60,61,62,63,70,80,81,84,85,87,89,92,93,94,95,100,
102,103,112,113,119,128,129,131,135,136,137,139,142,143,144,146,148,152,154,
156,162,164,166,168,176,190,191,193,196,197,198,199,203,204,209,212,213,214,
215,226,242,253,259,260,261,263,266,268,269,272,273,276,282,296,325,326,327,
332,337,342,344,365,369,370,372,374,376,393,397,405,425,445],[1,2,3,4,5,6,7,8,
11,12,15,17,18,20,22,23,24,25,26,27,28,39,40,41,43,44,45,46,47,49,50,54,64,69,
71,72,80,82,83,84,86,87,90,91,96,97,98,99,100,101,102,103,104,105,106,122,128,
130,131,132,133,134,135,136,137,138,139,140,141,145,149,150,151,157,163,171,
172,178,180,181,182,188,189,191,194,195,196,198,199,200,201,202,203,204,205,
206,207,208,210,211,216,217,218,219,220,221,222,245,254,260,262,265,271,277,
279,280,284,287,291,293,299,301,302,303,305,306,328,329,330,332,335,336,339,
354,358,364,378,380,389,390,391,422,426,427,446],[1,3,5,6,7,8,11,14,20,22,27,
28,35,40,41,43,44,45,46,47,49,50,58,64,66,80,82,90,91,98,101,102,104,106,114,
128,130,131,132,133,134,135,136,137,138,139,140,141,145,150,151,159,163,167,
169,175,177,179,183,191,195,205,207,208,210,211,216,217,218,219,220,221,222,
241,256,257,260,262,265,270,275,283,284,286,287,291,292,294,297,299,300,302,
329,335,339,345,355,362,364,389,420,424,427,447],[1,2,3,4,5,6,7,8,11,12,15,17,
18,20,22,23,24,25,26,27,28,39,40,41,43,44,45,46,47,49,50,58,65,69,71,72,80,82,
83,84,86,87,90,91,96,97,98,99,100,101,102,103,104,105,106,116,128,130,131,132,
133,134,135,136,137,138,139,140,141,145,149,151,155,157,161,167,172,179,180,
181,182,188,189,191,194,195,196,198,199,200,201,202,203,204,205,206,207,208,
210,211,216,217,218,219,220,221,222,248,254,260,262,265,270,275,277,279,281,
285,289,294,295,301,303,304,305,306,328,329,330,332,335,336,339,349,356,364,
378,380,389,390,391,420,423,426,448],[1,2,3,4,5,6,7,8,9,14,15,17,18,20,22,23,
24,25,26,27,28,33,40,41,43,44,45,46,47,49,50,59,66,69,71,72,80,82,83,84,86,87,
90,91,96,97,98,99,100,101,102,103,104,105,106,126,128,130,131,132,133,134,135,
136,137,138,139,140,141,145,148,153,157,159,169,172,175,177,180,181,182,183,
188,189,191,194,195,196,198,199,200,201,202,203,204,205,206,207,208,210,211,
216,217,218,219,220,221,222,234,251,260,262,265,272,277,278,279,283,286,292,
297,298,300,301,303,305,306,328,329,330,332,335,336,339,351,357,364,378,380,
389,390,391,421,424,426,449],[1,2,3,4,5,6,7,8,10,13,15,17,18,19,20,21,22,23,
24,26,29,40,41,42,43,44,48,50,55,56,60,61,62,63,67,69,70,71,80,81,83,85,86,87,
88,89,92,93,94,99,100,102,105,110,118,124,128,129,131,135,136,137,139,142,143,
144,146,152,154,157,160,162,164,166,168,173,174,176,181,189,190,191,192,193,
196,197,200,201,202,206,209,243,244,247,259,260,261,263,266,268,269,274,276,
279,282,290,296,324,325,326,328,334,340,347,365,369,370,371,374,376,392,396,
409,425,450],[1,3,5,6,7,8,9,11,12,20,22,27,28,31,40,41,43,44,45,46,47,49,50,
59,64,65,80,82,90,91,98,101,102,104,106,123,128,130,131,132,133,134,135,136,
137,138,139,140,141,145,148,149,150,151,153,155,161,163,191,195,205,207,208,
210,211,216,217,218,219,220,221,222,225,227,260,262,265,272,278,281,284,285,
287,289,291,295,298,299,302,304,329,335,339,352,359,361,364,389,421,423,427,
451],[1,3,5,6,7,8,12,14,20,22,27,28,32,40,41,43,44,45,46,47,49,50,54,65,66,80,
82,90,91,98,101,102,104,106,117,128,130,131,132,133,134,135,136,137,138,139,
140,141,145,149,155,159,161,169,171,175,177,178,183,191,195,205,207,208,210,
211,216,217,218,219,220,221,222,239,255,258,260,262,265,271,280,281,283,285,
286,289,292,293,295,297,300,304,329,335,339,346,360,363,364,389,422,423,424,
452],[1,3,5,6,7,8,10,14,20,21,22,27,28,36,40,41,42,43,44,48,50,55,56,60,62,66,
68,80,85,93,94,98,102,104,106,121,125,127,128,129,131,135,136,137,139,142,143,
144,146,154,158,159,164,168,190,191,205,209,211,218,219,221,229,230,252,259,
260,261,263,266,268,282,283,288,326,329,333,338,350,365,369,370,373,374,394,
402,408,410,425,453],[1,2,3,4,5,6,9,10,11,12,13,14,15,17,18,19,20,21,22,23,24,
29,30,31,32,33,34,35,36,37,38,39,40,41,42,54,55,57,58,59,60,61,63,64,65,66,67,
68,69,70,71,73,74,75,76,77,78,79,80,81,83,85,86,87,88,89,92,93,94,100,102,110,
111,112,114,115,116,117,119,120,122,123,124,125,126,128,129,147,148,149,151,
152,154,156,157,158,159,160,162,165,166,168,170,173,174,176,181,186,187,189,
190,191,192,193,196,197,209,225,226,228,229,230,231,232,233,234,235,236,237,
238,239,240,241,242,244,246,247,249,254,259,268,269,270,271,272,273,274,276,
279,282,283,285,287,288,290,296,308,309,310,311,312,313,314,315,316,317,318,
319,320,321,324,325,326,340,341,342,343,344,347,350,353,355,356,357,358,359,
360,367,368,370,371,372,373,375,376,377,387,388,396,398,399,400,401,402,403,
404,405,406,407,429,430,431,432,433,434,435,454],[1,2,3,4,5,6,7,8,15,17,18,19,
20,21,22,23,24,25,26,27,28,40,41,42,43,44,45,46,47,48,49,50,67,69,71,72,80,81,
82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,
106,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,
146,157,160,172,173,174,180,181,182,188,189,190,191,192,193,194,195,196,197,
198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,
217,218,219,220,221,222,259,260,261,262,263,264,265,266,267,274,277,279,290,
301,303,305,306,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,
339,364,365,366,371,378,379,380,389,390,391,392,393,394,395,416,426,428,438,
439,440,455],[1,3,5,6,7,8,11,20,21,22,27,28,40,41,42,43,44,45,46,47,48,49,50,
58,64,80,82,85,90,91,93,94,98,101,102,104,106,128,129,130,131,132,133,134,135,
136,137,138,139,140,141,142,143,144,145,146,151,165,167,179,190,191,195,205,
207,208,209,210,211,216,217,218,219,220,221,222,259,260,261,262,263,264,265,
266,267,270,275,287,294,326,329,333,335,338,339,364,365,366,375,389,394,416,
420,439,456],[1,3,5,6,7,8,9,20,21,22,27,28,40,41,42,43,44,45,46,47,48,49,50,
57,59,80,82,85,90,91,93,94,98,101,102,104,106,128,129,130,131,132,133,134,135,
136,137,138,139,140,141,142,143,144,145,146,148,153,156,190,191,195,205,207,
208,209,210,211,216,217,218,219,220,221,222,259,260,261,262,263,264,265,266,
267,272,273,278,298,326,329,333,335,338,339,364,365,366,372,389,394,416,421,
439,457],[1,3,5,6,7,8,14,20,21,22,27,28,40,41,42,43,44,45,46,47,48,49,50,66,
68,80,82,85,90,91,93,94,98,101,102,104,106,128,129,130,131,132,133,134,135,
136,137,138,139,140,141,142,143,144,145,146,158,159,169,175,177,183,190,191,
195,205,207,208,209,210,211,216,217,218,219,220,221,222,259,260,261,262,263,
264,265,266,267,283,286,288,292,297,300,326,329,333,335,338,339,364,365,366,
373,389,394,416,424,439,458],[1,3,5,6,7,8,12,20,21,22,27,28,40,41,42,43,44,45,
46,47,48,49,50,54,65,80,82,85,90,91,93,94,98,101,102,104,106,128,129,130,131,
132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,149,155,161,170,
190,191,195,205,207,208,209,210,211,216,217,218,219,220,221,222,259,260,261,
262,263,264,265,266,267,271,281,285,289,295,304,326,329,333,335,338,339,364,
365,366,377,389,394,416,423,439,459],[1,3,5,6,7,8,12,20,21,22,27,28,40,41,42,
43,44,45,46,47,48,49,50,54,65,80,82,85,90,91,93,94,98,101,102,104,106,128,129,
130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,149,170,
171,178,190,191,195,205,207,208,209,210,211,216,217,218,219,220,221,222,259,
260,261,262,263,264,265,266,267,271,280,285,293,326,329,333,335,338,339,364,
365,366,377,389,394,416,422,439,460],[1,3,5,6,7,8,11,20,21,22,27,28,40,41,42,
43,44,45,46,47,48,49,50,58,64,80,82,85,90,91,93,94,98,101,102,104,106,128,129,
130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,150,151,
163,165,190,191,195,205,207,208,209,210,211,216,217,218,219,220,221,222,259,
260,261,262,263,264,265,266,267,270,284,287,291,299,302,326,329,333,335,338,
339,364,365,366,375,389,394,416,427,439,461],[1,2,3,4,5,6,11,12,15,16,17,18,
19,20,21,22,23,24,39,40,41,42,51,52,53,54,58,64,65,67,69,71,80,81,83,85,86,87,
88,89,92,93,94,100,102,107,108,109,116,122,128,129,149,151,157,160,165,170,
173,174,181,184,189,190,191,192,193,196,197,209,249,254,259,270,271,274,279,
285,287,290,324,325,326,356,358,371,375,377,385,406,417,418,419,441,442,443,
462],[1,2,3,4,5,6,7,8,9,10,13,14,15,17,18,19,20,21,22,23,24,25,26,27,28,29,30,
33,36,37,40,41,42,43,44,48,50,55,56,57,59,60,61,62,63,66,67,68,69,70,71,72,77,
80,81,83,84,85,86,87,88,89,92,93,94,95,98,99,100,102,103,104,105,106,110,112,
113,115,118,119,120,121,124,125,126,127,128,129,131,135,136,137,139,142,143,
144,146,148,152,154,156,157,158,159,160,162,164,166,168,173,174,176,180,181,
182,185,186,189,190,191,192,193,196,197,198,199,200,201,202,203,204,205,206,
209,211,212,213,214,215,218,219,221,226,229,230,234,235,237,240,242,243,244,
247,252,253,259,260,261,263,266,268,269,272,273,274,276,279,282,283,288,290,
296,301,303,305,306,314,317,323,324,325,326,327,328,329,332,333,334,337,338,
340,342,343,344,347,350,353,357,365,369,370,371,372,373,374,376,379,380,388,
392,393,394,396,397,402,403,404,405,408,409,410,425,428,431,436,445,450,453,
463],[1,2,3,4,5,6,7,8,9,11,12,14,15,17,18,20,22,23,24,25,26,27,28,31,32,33,35,
39,40,41,43,44,45,46,47,49,50,54,58,59,64,65,66,69,71,72,76,80,82,83,84,86,87,
90,91,96,97,98,99,100,101,102,103,104,105,106,111,114,116,117,122,123,126,128,
130,131,132,133,134,135,136,137,138,139,140,141,145,148,149,150,151,153,155,
157,159,161,163,167,169,171,172,175,177,178,179,180,181,182,183,187,188,189,
191,194,195,196,198,199,200,201,202,203,204,205,206,207,208,210,211,216,217,
218,219,220,221,222,225,227,234,239,241,245,248,250,251,254,255,256,257,258,
260,262,265,270,271,272,275,277,278,279,280,281,283,284,285,286,287,289,291,
292,293,294,295,297,298,299,300,301,302,303,304,305,306,319,322,328,329,330,
332,335,336,339,341,345,346,348,349,351,352,354,355,356,357,358,359,360,361,
362,363,364,378,380,386,387,389,390,391,420,421,422,423,424,426,427,444,446,
447,448,449,451,452,464],[1,3,5,6,7,8,10,16,20,21,22,27,28,40,41,42,43,44,48,
50,52,55,56,60,62,80,85,93,94,98,102,104,106,128,129,131,135,136,137,139,142,
143,144,146,154,164,168,190,191,205,209,211,218,219,221,223,224,259,260,261,
263,266,268,282,326,329,333,338,365,369,370,374,385,394,417,425,465],[1,2,3,4,
5,6,7,8,9,14,15,17,18,19,20,21,22,23,24,25,26,27,28,33,40,41,42,43,44,45,46,
47,48,49,50,57,59,66,67,68,69,71,72,80,81,82,83,84,85,86,87,88,89,90,91,92,93,
94,95,96,97,98,99,100,101,102,103,104,105,106,115,126,128,129,130,131,132,133,
134,135,136,137,138,139,140,141,142,143,144,145,146,148,153,156,157,158,159,
160,169,172,173,174,175,177,180,181,182,183,188,189,190,191,192,193,194,195,
196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,
215,216,217,218,219,220,221,222,234,235,251,259,260,261,262,263,264,265,266,
267,272,273,274,277,278,279,283,286,288,290,292,297,298,300,301,303,305,306,
324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,351,353,357,
364,365,366,371,372,373,378,379,380,389,390,391,392,393,394,395,403,416,421,
424,426,428,438,439,440,449,455,457,458,466],[1,2,3,4,5,6,7,8,11,12,15,17,18,
19,20,21,22,23,24,25,26,27,28,39,40,41,42,43,44,45,46,47,48,49,50,54,58,64,65,
67,69,71,72,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,
101,102,103,104,105,106,116,122,128,129,130,131,132,133,134,135,136,137,138,
139,140,141,142,143,144,145,146,149,150,151,157,160,163,165,170,171,172,173,
174,178,180,181,182,188,189,190,191,192,193,194,195,196,197,198,199,200,201,
202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,
221,222,245,249,254,259,260,261,262,263,264,265,266,267,270,271,274,277,279,
280,284,285,287,290,291,293,299,301,302,303,305,306,324,325,326,327,328,329,
330,331,332,333,334,335,336,337,338,339,354,356,358,364,365,366,371,375,377,
378,379,380,389,390,391,392,393,394,395,406,416,422,426,427,428,438,439,440,
446,455,460,461,467],[1,2,3,4,5,6,7,8,11,12,15,17,18,19,20,21,22,23,24,25,26,
27,28,39,40,41,42,43,44,45,46,47,48,49,50,54,58,64,65,67,69,71,72,80,81,82,83,
84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,
116,122,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,
145,146,149,151,155,157,160,161,165,167,170,172,173,174,179,180,181,182,188,
189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,
208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,248,249,254,259,
260,261,262,263,264,265,266,267,270,271,274,275,277,279,281,285,287,289,290,
294,295,301,303,304,305,306,324,325,326,327,328,329,330,331,332,333,334,335,
336,337,338,339,349,356,358,364,365,366,371,375,377,378,379,380,389,390,391,
392,393,394,395,406,416,420,423,426,428,438,439,440,448,455,456,459,468],[1,3,
5,6,7,8,9,11,12,20,21,22,27,28,31,40,41,42,43,44,45,46,47,48,49,50,54,57,58,
59,64,65,80,82,85,90,91,93,94,98,101,102,104,106,111,123,128,129,130,131,132,
133,134,135,136,137,138,139,140,141,142,143,144,145,146,148,149,150,151,153,
155,156,161,163,165,170,190,191,195,205,207,208,209,210,211,216,217,218,219,
220,221,222,225,227,246,259,260,261,262,263,264,265,266,267,270,271,272,273,
278,281,284,285,287,289,291,295,298,299,302,304,326,329,333,335,338,339,341,
352,359,361,364,365,366,372,375,377,389,394,407,416,421,423,427,439,451,457,
459,461,469],[1,3,5,6,7,8,12,14,20,21,22,27,28,32,40,41,42,43,44,45,46,47,48,
49,50,54,65,66,68,80,82,85,90,91,93,94,98,101,102,104,106,117,128,129,130,131,
132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,149,155,158,159,
161,169,170,171,175,177,178,183,190,191,195,205,207,208,209,210,211,216,217,
218,219,220,221,222,228,239,255,258,259,260,261,262,263,264,265,266,267,271,
280,281,283,285,286,288,289,292,293,295,297,300,304,326,329,333,335,338,339,
346,360,363,364,365,366,373,377,389,394,401,416,422,423,424,439,452,458,459,
460,470],[1,3,5,6,7,8,9,11,12,20,21,22,27,28,31,40,41,42,43,44,45,46,47,48,49,
50,54,57,58,59,64,65,80,82,85,90,91,93,94,98,101,102,104,106,111,123,128,129,
130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,148,149,
151,153,156,165,167,170,171,178,179,190,191,195,205,207,208,209,210,211,216,
217,218,219,220,221,222,225,246,250,259,260,261,262,263,264,265,266,267,270,
271,272,273,275,278,280,285,287,293,294,298,326,329,333,335,338,339,341,348,
359,364,365,366,372,375,377,389,394,407,416,420,421,422,439,444,456,457,460,
471],[1,3,5,6,7,8,11,14,20,21,22,27,28,35,40,41,42,43,44,45,46,47,48,49,50,58,
64,66,68,80,82,85,90,91,93,94,98,101,102,104,106,114,128,129,130,131,132,133,
134,135,136,137,138,139,140,141,142,143,144,145,146,150,151,158,159,163,165,
167,169,175,177,179,183,190,191,195,205,207,208,209,210,211,216,217,218,219,
220,221,222,233,241,256,257,259,260,261,262,263,264,265,266,267,270,275,283,
284,286,287,288,291,292,294,297,299,300,302,326,329,333,335,338,339,345,355,
362,364,365,366,373,375,389,394,398,416,420,424,427,439,447,456,458,461,472],[
1,2,3,4,5,6,7,8,10,13,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,40,41,42,
43,44,48,50,51,52,53,55,56,60,61,62,63,67,69,70,71,72,80,81,83,84,85,86,87,88,
89,92,93,94,95,98,99,100,102,103,104,105,106,107,110,118,124,128,129,131,135,
136,137,139,142,143,144,146,152,154,157,160,162,164,166,168,173,174,176,180,
181,182,189,190,191,192,193,196,197,198,199,200,201,202,203,204,205,206,209,
211,212,213,214,215,218,219,221,223,224,243,244,247,259,260,261,263,266,268,
269,274,276,279,282,290,296,301,303,305,306,307,324,325,326,327,328,329,332,
333,334,337,338,340,347,365,369,370,371,374,376,379,380,385,392,393,394,396,
409,417,418,419,425,428,443,450,465,473],[1,2,3,4,5,6,7,8,9,11,12,14,15,17,18,
19,20,21,22,23,24,25,26,27,28,31,32,33,35,39,40,41,42,43,44,45,46,47,48,49,50,
54,57,58,59,64,65,66,67,68,69,71,72,76,80,81,82,83,84,85,86,87,88,89,90,91,92,
93,94,95,96,97,98,99,100,101,102,103,104,105,106,111,114,115,116,117,122,123,
126,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,
146,148,149,150,151,153,155,156,157,158,159,160,161,163,165,167,169,170,171,
172,173,174,175,177,178,179,180,181,182,183,187,188,189,190,191,192,193,194,
195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,
214,215,216,217,218,219,220,221,222,225,227,228,233,234,235,239,241,245,246,
248,249,250,251,254,255,256,257,258,259,260,261,262,263,264,265,266,267,270,
271,272,273,274,275,277,278,279,280,281,283,284,285,286,287,288,289,290,291,
292,293,294,295,297,298,299,300,301,302,303,304,305,306,313,319,322,324,325,
326,327,328,329,330,331,332,333,334,335,336,337,338,339,341,345,346,348,349,
351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,371,372,373,
375,377,378,379,380,386,387,389,390,391,392,393,394,395,398,401,403,406,407,
416,420,421,422,423,424,426,427,428,430,438,439,440,444,446,447,448,449,451,
452,455,456,457,458,459,460,461,464,466,467,468,469,470,471,472,474],[1,3,5,6,
7,8,10,14,16,20,21,22,27,28,36,40,41,42,43,44,45,46,47,48,49,50,52,55,56,60,
62,66,68,80,82,85,90,91,93,94,98,101,102,104,106,121,125,127,128,129,130,131,
132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,154,158,159,164,
168,169,175,177,183,190,191,195,205,207,208,209,210,211,216,217,218,219,220,
221,222,223,224,229,230,252,259,260,261,262,263,264,265,266,267,268,282,283,
286,288,292,297,300,326,329,333,335,338,339,350,364,365,366,369,370,373,374,
381,382,383,384,385,389,394,402,408,410,416,417,424,425,439,453,458,465,475],[
1,2,3,4,5,6,7,8,9,10,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,33,
36,37,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,59,60,61,62,63,66,67,
68,69,70,71,72,77,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,
100,101,102,103,104,105,106,107,110,112,113,115,118,119,120,121,124,125,126,
127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,
146,148,152,153,154,156,157,158,159,160,162,164,166,168,169,172,173,174,175,
176,177,180,181,182,183,185,186,188,189,190,191,192,193,194,195,196,197,198,
199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,
218,219,220,221,222,223,224,226,229,230,234,235,237,240,242,243,244,247,251,
252,253,259,260,261,262,263,264,265,266,267,268,269,272,273,274,276,277,278,
279,282,283,286,288,290,292,296,297,298,300,301,303,305,306,307,314,317,323,
324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,342,343,
344,347,350,351,353,357,364,365,366,369,370,371,372,373,374,376,378,379,380,
381,382,383,384,385,388,389,390,391,392,393,394,395,396,397,402,403,404,405,
408,409,410,413,416,417,418,419,421,424,425,426,428,431,436,438,439,440,443,
445,449,450,453,455,457,458,463,465,466,473,475,476],[1,3,5,6,7,8,10,11,14,16,
20,21,22,27,28,35,36,38,40,41,42,43,44,45,46,47,48,49,50,52,55,56,58,60,62,64,
66,68,78,80,82,85,90,91,93,94,98,101,102,104,106,108,114,121,125,127,128,129,
130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,150,151,
154,158,159,163,164,165,167,168,169,175,177,179,183,190,191,195,205,207,208,
209,210,211,216,217,218,219,220,221,222,223,224,229,230,231,233,236,241,252,
256,257,259,260,261,262,263,264,265,266,267,268,270,275,282,283,284,286,287,
288,291,292,294,297,299,300,302,316,320,326,329,333,335,338,339,345,350,355,
362,364,365,366,369,370,373,374,375,381,382,383,384,385,389,394,398,399,402,
408,410,412,414,416,417,420,424,425,427,434,439,442,447,453,456,458,461,465,
472,475,477],[1,3,5,6,7,8,10,12,14,16,20,21,22,27,28,32,34,36,40,41,42,43,44,
45,46,47,48,49,50,52,54,55,56,60,62,65,66,68,74,80,82,85,90,91,93,94,98,101,
102,104,106,109,117,121,125,127,128,129,130,131,132,133,134,135,136,137,138,
139,140,141,142,143,144,145,146,149,154,155,158,159,161,164,168,169,170,171,
175,177,178,183,190,191,195,205,207,208,209,210,211,216,217,218,219,220,221,
222,223,224,228,229,230,232,238,239,252,255,258,259,260,261,262,263,264,265,
266,267,268,271,280,281,282,283,285,286,288,289,292,293,295,297,300,304,315,
321,326,329,333,335,338,339,346,350,360,363,364,365,366,369,370,373,374,377,
381,382,383,384,385,389,394,400,401,402,408,410,411,415,416,417,422,423,424,
425,435,439,441,452,453,458,459,460,465,470,475,478],[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]],
0,[[1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1,1],[1,3,1],[1,1,1],[1,1,
1],[1,1,2,1],[1,1,1],[1,1,1,1,1],[1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,
1],[1,1,1,1],[1,1,1,1],[1,3,1,1],[1,1,1,1],[1,3,1,1],[1,1,1,1],[1,3,1,1],[1,3,
1,1],[1,1,3,3,1,3,3,1],[1,3,2,1,1,1,1],[1,1,1,1,1,1],[1,1,2,1,1],[1,1,1,1,1,1,
1,1],[1,1,1,1],[1,1,2,1,1],[1,5,2,1,1],[1,1,4,2,1,1],[1,1,1,1],[1,1,1,1,1,1,1,
1],[1,1,3,1],[1,4,1],[1,2,2,1],[1,1,3,1],[1,1,3,1],[1,4,1],[1,4,1],[1,4,1],[1,
1,1],[1,2,2,1],[1,1,1,2,1],[1,5,1,1],[1,5,1,1],[1,1,1,1],[1,1,1,3,1,1],[1,7,1,
3,2,1,1],[1,3,4,1,1],[1,1,1,1,1,1],[1,1,1,3,1,1],[1,1,1,1,1,1],[1,3,1,1,3,1],[
1,1,6,1,3,2,1,1],[1,3,4,1,1],[1,3,4,1,3,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1,1],[
1,1,1,3,1,1],[1,3,1,3,1,3,1,1,1,1],[1,1,1,3,1,1],[1,3,1,3,1,3,1,1,1,1],[1,1,2,
1,1,1,2,1],[1,3,3,1,1,3,1,1,1,1],[1,1,3,3,1,3,1,1,1,1],[1,1,4,2,2,1,1,1,1,1],[
1,5,2,2,1,1,1,1,1],[1,1,1,1,1,1,1,1,1,1,1],[1,1,1,1,1,2,2,1,1,2,1,1,1,2,1],[1,
1,5,5,1,2,6,1,5,2,2,1,1,1,1],[1,5,2,2,1,1,1,1,1],[1,1,4,2,2,1,1,1,1,1],[1,9,4,
12,1,1],[1,9,2,2,6,6,1,1],[1,9,4,12,1,1],[1,9,1,3,3,9,1,1],[1,9,1,3,3,9,1,1],[
1,1,2,2,2,2,1,1],[1,9,4,12,1,1],[1,1,4,4,1,1],[1,9,2,2,6,6,1,1],[1,3,4,1,3,1,
1],[1,9,4,12,1,1],[1,9,4,12,1,1],[1,3,2,2,1,3,1,1],[1,3,2,2,1,3,1,1],[1,3,4,1,
3,1,1],[1,9,1,3,1,1],[1,9,4,12,1,1],[1,1,4,4,1,1],[1,9,1,1,2,3,3,6,1,1],[1,3,
1,3,1,3,1,1],[1,3,1,3,1,3,1,1],[1,9,2,2,6,6,1,1],[1,3,1,3,1,3,1,1],[1,3,1,1,2,
3,1,1,1],[1,3,1,3,3,1,1,1],[1,3,1,1,2,1,3,1,1],[1,3,1,3,3,1,1,1],[1,1,5,5,5,1,
1,1,1,1],[1,5,5,1,1,1],[1,5,5,1,1,1],[1,3,3,9,1,1,9,9,3,3,1,3,1,3,3,1],[1,1,1,
1,3,3,1,3,1,1,1,1],[1,7,6,1,1,3,3,2,2,1,3,1,1,1,1],[1,3,6,4,3,1,3,4,3,1,1],[1,
1,1,4,3,1,3,1,1,1,1],[1,3,1,3,1,1,3,3,1,1,1,3,1,1,1,1],[1,3,1,3,1,3,1,3,1,1,1,
3,1,1,1,1],[1,1,1,4,3,1,3,1,1,1,1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,3,2,1,1,1,1,3,
2,1,1,1,1,1],[1,1,8,1,4,3,2,1,2,3,1,1,1,1],[1,9,4,4,3,4,3,1,1],[1,3,1,3,1,1,3,
3,1,1,1,3,1,1,1,1],[1,1,1,1,1,1,1,1,1,1,1,1],[1,3,7,5,1,3,7,9,1,2,1,1,2,3,1,2,
1,1,2,1],[1,9,1,4,3,2,3,3,1,1,1,1],[1,3,1,3,1,1,3,3,1,1,1,3,1,1,1,1],[1,9,4,4,
3,4,3,1,1],[1,1,12,4,9,1],[1,4,9,4,3,6,1],[1,1,12,4,9,1],[1,1,3,9,1,3,1],[1,1,
12,4,1],[1,1,12,4,9,1],[1,1,12,4,9,1],[1,1,3,9,1,3,1],[1,1,3,3,6,1,1,2,9,1],[
1,1,3,3,6,1,1,2,1],[1,1,6,6,2,2,1],[1,1,3,3,6,1,1,2,1],[1,1,6,6,2,2,9,1],[1,1,
6,6,2,2,1],[1,1,3,1,3,1],[1,1,3,1,3,1],[1,1,3,1,3,1],[1,1,3,9,1,3,1],[1,1,3,1,
3,1],[1,1,5,5,1,2,2,2,6,1,5,2,2,2,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1],[1,9,4,9,
12,1,1,1],[1,9,4,9,12,1,1,1],[1,9,4,9,12,1,1,1],[1,9,4,9,12,1,1,1],[1,9,6,4,9,
2,12,6,1,6,1,2,1],[1,9,4,9,12,1,1,1],[1,15,4,9,14,6,1,6,1,2,1],[1,9,4,9,12,1,
1,1],[1,1,2,2,1,2,2,1,2,2,1,1],[1,9,9,1,4,9,12,12,4,1,12,1,1,1,1],[1,1,2,2,9,
2,2,1,6,6,1,1],[1,9,4,9,12,1,1,1],[1,9,1,9,2,2,9,6,6,6,2,2,6,1,6,6,1,1,1,1],[
1,9,4,9,12,1,1,1],[1,3,12,2,2,9,6,7,1,3,3,1,3,3,1,1,1,1],[1,9,4,9,12,1,1,1],[
1,3,1,4,8,1,3,4,1,1,2,1],[1,1,2,2,3,2,2,1,1,3,1,1],[1,1,6,2,2,3,2,2,2,6,1,1,3,
1,2,1],[1,9,4,9,12,1,1,1],[1,7,2,2,3,2,8,2,1,1,3,1,2,1],[1,9,4,9,12,1,1,1],[1,
1,2,2,3,2,2,1,1,3,1,1],[1,9,4,9,12,1,1,1],[1,1,9,9,4,9,12,4,12,1,12,1,1,1,1],[
1,9,3,3,2,2,9,6,1,1,3,6,3,1,3,3,1,1,1,1],[1,9,3,3,4,9,1,1,3,12,3,1,3,3,1,1,1,
1],[1,9,4,9,12,1,1,1],[1,3,4,4,3,1,1,3,7,1,1,3,1,1,1,1],[1,9,4,9,12,1,1,1],[1,
9,4,9,12,1,1,1],[1,9,4,9,12,1,1,1],[1,3,3,9,1,3,9,1,3,3,9,3,1,1,3,3,1,1,1,1],[
1,9,3,3,1,3,9,3,1,1,3,9,3,1,3,3,1,1,1,1],[1,3,9,3,1,1,2,9,3,1,3,1,3,3,6,1,3,3,
1,1,1,1],[1,9,2,2,9,6,6,1,1,1],[1,1,5,5,5,5,5,1,5,1,1,1,1,1,1,1],[1,1,9,9,4,3,
4,12,3,9,4,4,4,4,6,3,3,3,1,4,3,1,1,1,1],[1,3,9,11,1,1,4,16,3,15,3,2,3,1,2,6,4,
3,3,3,1,1,1,3,2,3,1,1,2,3,1,1,1,1,1,1,1,1],[1,3,1,3,1,1,4,4,3,3,1,1,1,4,3,3,3,
6,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,27,1,12,9,108,4,9,12,27,1,1],[1,27,1,12,
9,108,4,9,12,27,1,1],[1,9,4,9,12,9,4,3,6,1,6,6,1,1],[1,9,1,12,12,9,4,9,1,12,1,
1],[1,27,4,9,36,81,4,3,6,12,9,18,1,1],[1,9,4,9,6,6,9,4,3,6,1,3,3,6,1,1],[1,3,
1,12,1,12,4,9,3,4,1,1],[1,9,1,12,9,12,4,9,1,12,1,1],[1,3,1,12,1,12,4,9,3,4,1,
1],[1,3,4,9,1,12,4,3,6,3,2,2,1,1],[1,9,1,3,3,6,3,9,9,1,1,2,1,3,1,1],[1,9,1,3,
3,6,3,9,9,1,1,2,9,1,3,9,1,1],[1,9,1,3,3,6,3,9,9,1,1,2,1,3,1,1],[1,9,1,3,9,3,9,
9,1,3,1,3,1,1],[1,9,1,3,3,6,3,9,9,1,1,2,1,3,1,1],[1,9,1,3,3,6,3,9,9,1,1,2,1,3,
1,1],[1,9,1,3,9,3,9,9,1,3,1,3,1,1],[1,9,1,3,9,3,9,9,1,3,3,9,1,1],[1,9,1,3,3,6,
3,9,9,1,1,2,9,1,3,9,1,1],[1,9,1,12,9,12,4,12,1,1],[1,9,1,12,9,12,4,9,1,12,1,
1],[1,3,4,9,1,6,6,4,3,6,3,1,1,2,1,1],[1,9,1,12,9,12,4,9,1,12,1,1],[1,9,1,3,9,
3,9,9,1,3,3,9,1,1],[1,9,1,3,3,9,1,3,1,3,1,1],[1,9,1,3,3,9,1,3,1,3,1,1],[1,9,1,
3,3,9,1,3,1,3,1,1],[1,9,1,3,3,9,1,3,1,3,1,1],[1,9,1,6,6,9,6,6,2,2,6,6,1,1],[1,
9,1,6,6,9,6,6,2,2,6,6,1,1],[1,9,1,3,3,6,3,9,3,6,1,1,2,3,3,6,1,1],[1,9,1,3,3,6,
3,9,3,6,1,1,2,3,3,6,1,1],[1,9,1,6,6,9,6,6,2,2,9,1,6,6,1,1],[1,9,1,3,3,6,3,9,3,
6,1,1,2,9,1,3,3,6,1,1],[1,9,1,3,9,9,3,9,1,3,3,9,1,1],[1,15,10,5,6,10,6,5,1],[
1,15,10,5,6,10,6,5,1],[1,9,4,9,9,9,12,9,1,1,1,1,1,1],[1,15,6,4,9,9,9,2,14,6,6,
9,1,6,6,1,2,2,1,1,1,1],[1,9,4,9,9,9,12,9,1,1,1,1,1,1],[1,1,2,2,6,9,2,2,9,1,2,
6,6,6,1,6,1,2,1],[1,21,4,18,9,16,12,9,1,12,1,4,2,1,1],[1,13,2,2,6,9,4,14,2,9,
1,2,6,6,6,1,4,6,1,2,1],[1,9,4,9,12,9,1,1,1,1],[1,9,4,9,12,9,1,1,1,1],[1,1,2,2,
6,9,2,2,9,1,2,6,6,6,1,6,1,2,1],[1,9,9,1,4,9,9,9,12,12,4,9,1,12,1,1,1,1,1,1,
1],[1,9,1,9,2,2,1,9,9,6,6,6,2,2,6,9,1,2,2,6,6,6,6,1,1,1,6,6,1,1,1,1],[1,1,2,2,
9,2,2,9,1,6,6,1,1,1],[1,1,12,2,2,6,9,4,2,2,12,9,1,2,6,6,6,1,4,6,1,2,1],[1,1,2,
2,9,2,2,9,1,6,6,1,1,1],[1,9,4,18,9,12,9,1,1,2,1,1],[1,9,12,4,18,9,4,12,12,9,1,
12,1,4,2,1,1],[1,9,4,18,9,12,9,1,1,2,1,1],[1,7,6,2,2,1,3,3,2,2,8,2,6,3,1,1,2,
2,3,1,3,1,2,2,1,3,1,1,1,1],[1,3,3,9,1,4,8,1,9,9,3,3,1,12,3,4,1,1,3,2,3,4,1,3,
1,1],[1,9,15,7,4,9,15,27,2,14,6,12,10,9,1,6,8,6,6,18,1,1,1,2,2,6,1,1,1,2,2,
1],[1,1,9,9,4,9,9,9,12,4,12,9,1,12,1,1,1,1,1,1,1],[1,1,2,2,1,3,3,2,2,3,1,1,2,
1,2,3,3,1,1,3,1,1,1,1],[1,9,7,15,2,2,3,21,27,6,6,8,2,8,2,6,6,9,1,1,3,7,6,12,6,
3,6,1,1,1,2,2,3,3,1,2,1,1,2,1],[1,1,9,9,4,9,9,9,12,4,12,9,1,12,1,1,1,1,1,1,
1],[1,9,1,9,2,2,3,3,9,6,6,6,2,2,6,9,1,1,1,3,3,6,6,1,1,1,3,3,1,1,1,1],[1,9,4,9,
9,9,12,9,1,1,1,1,1,1],[1,1,9,9,4,9,9,9,12,4,12,9,1,12,1,1,1,1,1,1,1],[1,21,1,
4,8,10,9,6,3,12,24,9,4,3,1,1,2,3,4,3,3,6,1,1],[1,3,6,1,4,8,3,1,3,3,6,4,3,4,1,
3,1,2,3,4,1,3,1,1],[1,9,9,1,4,9,9,9,12,12,4,9,1,12,1,1,1,1,1,1,1],[1,9,4,18,9,
12,9,1,1,1,1,1,1],[1,9,4,18,9,12,9,1,1,1,1,1,1],[1,9,4,18,9,12,9,1,1,1,1,1,
1],[1,9,4,18,9,12,9,1,1,1,1,1,1],[1,10,30,40,45,45,10,30,1],[1,1,12,9,18,4,9,
3,6,27,1,1,2,3,3,3,1],[1,1,12,4,9,9,1,3,3,3,3,1],[1,1,3,18,18,1,6,6,9,18,9,1,
1,1,1,2,1,2,2,2,1],[1,4,9,9,4,3,6,3,6,1,1,2,1],[1,1,3,9,1,3,9,1,1,1,1,1],[1,1,
3,9,27,1,3,9,9,9,9,9,1,1,1,1,1,1,1,1,1,1,3,1],[1,4,9,9,4,3,6,3,6,1,1,2,1],[1,
1,3,9,1,3,9,1,1,1,1,1],[1,27,4,9,27,36,27,4,3,6,27,3,18,18,1,9,3,1],[1,9,18,4,
9,27,12,12,12,9,18,4,3,6,9,18,1,2,6,6,6,6,12,1,3,6,1,2,1],[1,9,1,12,27,12,9,4,
9,9,1,12,1,3,1,1],[1,9,1,12,27,12,9,4,9,9,1,12,1,3,1,1],[1,9,1,12,9,12,9,4,9,
9,1,12,1,1,1,1],[1,9,4,9,9,12,9,4,3,6,9,1,6,6,1,1,1,1],[1,27,9,3,4,9,27,36,1,
12,9,81,12,4,3,6,9,36,1,12,9,3,18,2,2,6,6,1,3,6,6,1,1,1,1],[1,9,1,12,27,9,12,
4,9,9,1,12,1,3,1,1],[1,9,6,4,9,9,2,12,9,24,4,3,6,6,9,1,6,4,4,6,6,1,1,6,1,2,
1],[1,3,9,27,1,12,27,1,9,9,108,12,12,4,9,9,36,1,12,27,3,4,12,1,3,12,1,1,1,1],[
1,9,1,12,9,9,12,4,9,9,1,12,1,1,1,1],[1,27,9,3,1,12,27,9,1,12,9,108,12,4,9,9,
36,1,12,27,3,4,12,1,3,12,1,1,1,1],[1,9,1,12,27,9,12,4,9,9,1,12,1,3,1,1],[1,9,
1,12,9,9,12,4,9,9,1,12,1,1,1,1],[1,15,4,9,9,14,21,12,4,3,6,6,9,1,6,8,8,4,1,1,
6,1,2,1],[1,9,1,12,27,12,9,4,9,9,1,12,1,3,1,1],[1,9,1,12,9,9,12,4,9,9,1,12,1,
1,1,1],[1,9,1,12,9,12,9,4,9,9,1,12,1,1,1,1],[1,9,1,12,27,9,12,4,9,9,1,12,1,3,
1,1],[1,9,1,12,9,12,9,4,9,9,1,12,1,1,1,1],[1,9,4,9,27,12,9,4,3,6,9,1,6,6,1,3,
1,1],[1,9,1,12,9,9,12,4,9,9,1,12,1,1,1,1],[1,27,3,9,4,9,27,36,6,6,1,6,6,81,9,
4,3,6,18,18,9,1,12,3,9,18,3,3,1,1,6,2,1,3,3,3,6,1,1,1,1],[1,9,1,12,9,9,12,4,9,
9,1,12,1,1,1,1],[1,9,1,12,27,9,12,4,9,9,1,12,1,3,1,1],[1,9,1,12,27,9,12,4,9,9,
1,12,1,3,1,1],[1,9,1,12,27,9,12,4,9,9,1,12,1,3,1,1],[1,9,1,12,9,9,12,4,9,12,1,
1,1],[1,3,12,4,9,9,6,7,1,6,6,21,4,3,6,3,3,9,1,3,3,5,5,1,1,6,2,1,1,3,3,1,1,1,
1],[1,9,1,12,27,9,12,4,9,9,1,12,1,3,1,1],[1,9,1,12,9,9,12,4,9,12,1,1,1],[1,9,
1,12,9,9,12,4,9,12,1,1,1],[1,9,1,6,6,27,9,6,6,2,2,9,9,1,6,6,1,3,1,1],[1,9,9,9,
1,3,3,6,27,3,3,3,9,9,9,9,9,3,6,1,1,2,9,9,9,1,1,3,3,3,3,6,1,3,3,1,1,1,1],[1,9,
1,6,6,9,9,6,6,2,2,9,6,6,1,1,1],[1,9,9,9,1,3,3,6,27,3,3,3,9,9,9,9,9,3,6,1,1,2,
9,9,9,9,1,1,1,3,3,3,9,3,9,6,1,3,3,3,1,1,1,1],[1,9,1,6,6,9,9,6,6,2,2,9,6,6,1,1,
1],[1,9,9,9,1,3,3,6,27,3,3,3,9,9,9,9,9,3,6,1,1,2,9,9,9,1,1,3,3,3,3,6,1,3,3,1,
1,1,1],[1,9,9,9,1,3,9,27,3,3,3,9,9,9,9,9,9,1,3,9,9,9,1,1,3,3,3,9,1,3,3,1,1,1,
1],[1,1,15,15,10,5,15,15,6,10,10,10,5,6,6,6,5,10,6,5,1,1],[1,9,12,4,18,18,9,4,
12,12,9,9,9,1,12,9,1,4,2,2,1,1,1,1,1],[1,1,12,2,2,6,6,9,4,2,2,12,9,9,9,1,2,2,
6,6,6,6,9,1,4,6,6,1,2,2,1,1,1,1],[1,9,12,4,18,18,9,4,12,12,9,9,9,1,12,9,1,4,2,
2,1,1,1,1,1],[1,9,1,9,2,2,1,9,9,6,6,6,2,2,6,9,9,9,1,2,2,6,6,6,6,9,1,1,1,6,6,1,
1,1,1,1,1,1],[1,9,9,1,4,9,9,9,12,12,4,9,9,9,1,12,9,1,1,1,1,1,1,1,1,1,1],[1,9,
1,9,2,2,1,6,6,9,9,6,6,6,2,2,6,6,9,9,9,18,1,2,2,2,2,6,6,6,6,6,6,9,1,1,1,2,6,6,
6,6,6,6,6,1,1,1,2,2,6,1,1,1,2,2,1],[1,9,21,13,4,9,18,30,9,45,4,16,12,12,16,18,
18,9,9,9,1,12,16,12,12,24,9,1,1,1,4,4,12,1,2,2,1,1,4,4,2,1,1,1,2,1],[1,13,2,2,
6,6,9,4,14,2,9,9,9,1,2,2,6,6,6,6,9,1,4,6,6,1,2,2,1,1,1,1],[1,13,2,2,6,6,9,4,
14,2,9,9,9,1,2,2,6,6,6,6,9,1,4,6,6,1,2,2,1,1,1,1],[1,9,13,21,2,2,1,6,42,9,45,
6,6,10,4,14,2,6,12,18,6,9,9,9,1,2,2,2,6,14,12,6,18,6,6,6,12,9,1,1,1,4,4,6,2,6,
6,6,6,6,6,1,1,1,4,2,2,4,6,1,1,1,2,2,1],[1,1,12,2,2,6,6,9,4,2,2,12,9,9,9,1,2,2,
6,6,6,6,9,1,4,6,6,1,2,2,1,1,1,1],[1,9,9,1,4,9,18,18,9,9,12,12,4,18,9,9,9,18,1,
12,9,1,1,1,1,2,2,1,1,2,1,1,1,2,1],[1,21,4,18,18,9,16,12,9,9,9,1,12,9,1,4,2,2,
1,1,1,1,1],[1,21,4,18,18,9,16,12,9,9,9,1,12,9,1,4,2,2,1,1,1,1,1],[1,1,9,9,4,9,
18,18,9,9,12,4,12,18,9,9,9,18,1,12,9,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,
3,21,15,1,4,8,3,10,30,9,27,3,6,3,1,6,4,12,12,24,12,12,9,9,9,4,3,1,3,1,3,2,6,3,
3,3,6,12,9,4,4,4,1,3,1,3,3,3,3,3,3,3,6,1,4,3,3,1,1,1,1],[1,81,10,30,270,810,
40,45,45,360,405,405,10,30,30,90,1,1],[1,9,10,30,6,6,36,40,45,45,1,9,12,12,24,
10,30,4,6,6,1,1],[1,9,10,30,12,18,18,40,45,45,1,9,12,12,24,10,30,2,2,12,1,1],[
1,27,4,9,9,18,18,27,27,4,3,6,3,6,3,3,9,9,6,18,1,1,2,3,3,6,1,1],[1,27,1,12,9,
18,9,108,27,4,9,3,6,27,12,27,9,27,1,1,2,3,3,3,1,3,3,3,3,1,1],[1,27,1,12,9,18,
36,27,27,54,4,9,3,6,27,3,9,36,27,54,1,1,2,3,3,3,3,3,6,9,9,9,1,1],[1,27,1,3,18,
18,9,27,108,1,6,6,9,18,9,12,27,9,27,1,1,1,1,2,1,2,2,2,1,3,3,3,3,1,1],[1,27,1,
3,9,9,27,27,1,3,9,3,9,9,1,1,1,1,3,3,3,3,1,1],[1,9,1,12,9,18,3,36,9,4,9,3,6,27,
1,9,12,9,1,1,2,3,3,3,3,1,1,1,1,1,1],[1,9,4,9,9,3,18,18,9,4,3,6,3,6,9,3,3,6,9,
1,1,2,1,3,1,1],[1,27,4,9,9,36,81,27,4,3,6,3,6,12,9,18,9,1,1,2,1,3,1,1],[1,27,
1,3,18,18,9,27,54,54,1,6,6,9,18,9,3,3,6,9,54,54,1,1,1,1,2,1,2,2,2,3,3,6,6,3,3,
6,3,6,1,1],[1,9,1,3,18,18,3,9,36,1,6,6,9,18,9,1,9,12,9,1,1,1,1,2,1,2,2,2,3,1,
1,1,1,1,1],[1,9,1,12,3,36,4,9,9,9,1,12,1,3,3,3,3,3,1,1,1,1,1,1],[1,9,4,9,9,3,
18,18,9,4,3,6,3,6,9,3,3,6,9,1,1,2,3,1,1,1],[1,27,1,3,9,27,9,27,27,81,1,3,9,9,
9,9,9,3,3,3,3,9,27,81,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,9,1,1],[1,27,
27,9,4,9,27,27,81,36,3,36,27,81,36,27,4,3,6,27,18,27,27,108,3,12,9,9,18,6,6,
18,18,27,1,3,9,9,18,18,18,3,1,3,9,1,3,3,1],[1,9,1,12,9,27,27,12,9,27,4,9,9,9,
9,1,12,9,1,1,3,3,1,3,1,1,1,1],[1,27,18,4,9,9,27,27,12,12,36,27,18,27,4,3,6,27,
9,9,18,3,2,6,6,18,18,12,9,1,1,3,9,6,3,2,3,1,1,1,1],[1,9,24,4,9,36,27,12,14,12,
9,42,27,4,3,6,9,24,9,9,1,2,6,10,10,6,6,12,9,1,4,3,6,6,1,2,2,3,1,1,1,1],[1,15,
6,4,9,9,9,9,2,14,21,12,24,9,4,3,6,6,9,9,6,9,1,6,6,4,4,8,8,4,9,1,1,1,1,6,6,1,2,
2,1,1,1,1,1],[1,9,1,12,36,27,9,12,27,4,9,9,9,9,1,12,9,1,1,3,3,1,3,1,1,1,1],[1,
9,1,12,36,27,9,12,27,4,9,9,9,9,1,12,9,1,1,3,3,1,3,1,1,1,1],[1,27,15,21,4,9,9,
45,81,36,12,13,14,21,12,81,30,27,4,3,6,6,9,15,24,45,36,18,54,1,2,12,6,9,3,18,
8,8,8,8,12,4,9,18,1,3,1,3,6,8,6,6,12,12,6,12,1,1,2,1,2,3,6,1,1,1,2,2,1],[1,9,
1,12,9,27,27,9,12,27,4,9,9,9,9,1,12,9,1,1,3,3,1,3,1,1,1,1],[1,3,9,27,1,12,27,
9,27,1,9,9,108,12,12,27,4,9,9,9,9,36,1,12,27,3,4,12,9,1,1,3,3,12,1,1,1,3,1,1,
1,1],[1,33,4,9,36,27,38,39,12,27,4,3,6,33,9,9,3,6,20,20,4,9,1,10,3,6,3,2,3,1,
1,1,1],[1,3,9,27,1,12,9,27,27,1,9,9,108,12,12,27,4,9,9,9,9,36,1,12,27,3,4,12,
9,1,1,3,3,12,1,1,1,3,1,1,1,1],[1,9,1,12,9,9,9,9,12,9,4,9,9,9,9,1,12,9,1,1,1,1,
1,1,1,1,1,1],[1,27,9,3,4,9,9,27,27,36,1,12,9,81,12,27,4,3,6,9,9,9,36,1,12,9,3,
18,2,2,6,6,9,1,1,3,3,6,6,1,1,1,3,1,1,1,1],[1,3,9,27,1,12,9,27,27,1,9,9,108,12,
12,27,4,9,9,9,9,36,1,12,27,3,4,12,9,1,1,3,3,12,1,1,1,3,1,1,1,1],[1,9,1,12,36,
27,12,9,27,4,9,9,9,9,1,12,9,1,4,3,1,3,1,1,1,1],[1,27,9,3,1,12,27,9,27,9,1,12,
9,108,12,27,4,9,9,9,9,36,1,12,27,3,4,12,9,1,1,3,3,12,1,1,1,3,1,1,1,1],[1,27,9,
3,1,12,9,27,27,9,1,12,9,108,12,27,4,9,9,9,9,36,1,12,27,3,4,12,9,1,1,3,3,12,1,
1,1,3,1,1,1,1],[1,27,9,3,1,12,9,27,27,9,1,12,9,108,12,27,4,9,9,9,9,36,1,12,27,
3,4,12,9,1,3,1,3,12,1,1,1,3,1,1,1,1],[1,9,1,12,9,9,9,12,9,9,4,9,9,9,9,1,12,9,
1,1,1,1,1,1,1,1,1,1],[1,9,1,12,36,27,12,9,27,4,9,9,9,9,1,12,9,1,4,3,1,3,1,1,1,
1],[1,9,1,12,9,9,9,9,12,9,4,9,9,9,12,9,1,1,1,1,1,1],[1,9,1,12,36,27,9,12,27,4,
9,9,9,9,1,12,9,1,1,3,3,1,3,1,1,1,1],[1,9,1,12,36,27,9,12,27,4,9,9,9,9,1,12,9,
1,1,3,3,1,3,1,1,1,1],[1,1,12,36,72,4,9,12,24,27,54,54,108,108,1,3,4,6,6,6,8,
12,12,12,12,12,12,24,4,12,24,1],[1,10,30,9,18,40,45,45,3,6,18,27,10,30,1,2,3,
3,3,6,6,6,6,1,1,2,3,6,1],[1,1,12,9,18,4,9,3,6,27,27,1,1,2,3,3,3,9,9,9,9,1,3,3,
6,1],[1,9,21,13,4,9,18,18,18,30,9,45,4,16,12,12,16,18,18,18,9,9,9,9,9,9,9,18,
1,12,16,12,12,24,9,9,9,9,9,9,9,1,1,1,4,4,12,9,1,2,2,2,2,1,1,4,4,2,2,1,1,1,1,1,
1,1,2,2,1,1,1,1,1,1,1,1],[1,9,13,21,2,2,1,6,6,6,42,9,45,6,6,10,4,14,2,6,12,18,
6,6,9,9,9,9,9,9,9,18,1,2,2,2,2,2,6,14,12,6,6,6,18,6,6,6,12,9,9,9,9,9,9,9,1,1,
1,4,4,6,2,2,6,6,6,6,6,6,6,6,6,6,6,9,1,1,1,4,2,2,2,2,4,6,6,1,1,1,1,1,1,1,2,2,2,
2,1,1,1,1,1,1,1,1],[1,27,4,9,36,27,36,27,4,3,6,12,24,27,27,3,18,18,1,4,8,9,3,
4,1,1],[1,27,10,30,27,36,54,54,40,45,45,27,27,3,27,36,36,72,10,30,9,27,6,6,36,
1,1,9,3,1],[1,81,9,9,10,30,81,270,6,6,12,18,18,810,36,40,45,45,54,54,108,1,1,
360,9,405,9,405,12,12,12,12,24,24,10,30,9,9,36,36,72,30,2,2,90,4,6,6,12,1,6,6,
12,1,1,1,1],[1,9,10,30,9,12,18,18,40,45,45,18,18,1,9,12,12,24,10,30,1,9,2,2,
12,1,2,2,1,1],[1,9,10,30,81,12,18,18,40,45,45,54,54,1,9,12,12,24,10,30,9,9,2,
2,12,1,6,6,1,1],[1,27,4,9,36,27,36,27,4,3,6,12,24,27,27,3,18,18,1,4,8,9,3,4,1,
1],[1,9,10,30,27,12,18,18,40,45,45,9,27,1,9,12,12,24,10,30,3,9,2,2,12,1,1,3,1,
1],[1,9,18,10,30,27,12,12,12,18,18,72,40,45,45,9,18,27,1,2,9,18,24,24,12,12,
48,24,10,30,3,6,9,18,2,2,8,12,12,12,1,1,3,6,2,1,1],[1,9,10,30,27,12,18,18,40,
45,45,9,27,1,9,12,12,24,10,30,3,9,2,2,12,1,1,3,1,1],[1,9,27,27,1,3,18,18,81,3,
9,9,27,9,27,108,36,54,54,1,6,6,9,18,9,27,27,108,3,1,12,27,9,3,12,9,6,9,27,54,
9,54,1,1,1,1,2,1,2,2,2,9,36,9,9,1,3,3,3,3,1,1,1,3,3,3,1,6,6,3,3,6,3,6,1,3,3,3,
3,3,1,1,1,1],[1,27,9,27,4,9,9,81,36,18,18,3,18,18,81,27,27,27,9,4,3,6,3,6,54,
54,27,27,3,12,3,9,9,18,9,9,3,3,6,9,18,6,9,1,1,2,9,9,9,9,18,1,3,3,3,1,3,6,1,3,
3,1,1,1,1],[1,27,27,9,1,12,9,18,81,9,3,36,27,108,36,9,27,27,54,4,9,3,6,27,27,
108,27,3,12,1,27,9,9,9,12,36,9,27,27,54,1,1,2,3,3,3,9,9,36,9,1,3,3,1,1,3,3,3,
1,1,3,3,6,9,9,9,1,3,3,3,3,3,1,1,1,1],[1,45,40,30,45,36,120,45,10,36,30,10,30,
10,12,1],[1,45,40,30,45,36,120,45,10,36,30,10,30,10,12,1],[1,45,40,30,45,36,
120,45,10,36,30,10,30,10,12,1],[1,45,20,20,30,45,36,60,60,45,10,36,15,15,10,
15,15,10,6,6,1],[1,10,30,81,40,45,45,10,30,1,1],[1,3,9,27,1,12,9,36,36,27,27,
1,9,9,108,12,12,36,27,27,27,54,4,9,9,9,9,9,9,9,9,36,27,1,12,27,3,4,12,9,9,9,9,
9,9,9,1,1,1,1,3,3,3,3,12,9,1,1,1,1,3,3,3,3,3,3,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,
1],[1,27,9,3,1,12,9,36,36,27,27,9,1,12,9,108,12,36,27,27,27,54,4,9,9,9,9,9,9,
9,9,36,27,1,12,27,3,4,12,9,9,9,9,9,9,9,1,1,4,4,3,3,12,9,1,1,1,4,3,3,3,6,1,1,1,
1,1,1,1,3,1,1,1,1,1,1,1,1],[1,27,33,27,4,9,9,36,72,27,135,36,12,15,38,39,12,
81,54,54,36,27,27,27,4,3,6,33,9,9,15,42,63,9,36,45,126,27,3,2,12,6,9,9,18,12,
12,20,20,12,4,9,9,9,9,9,45,9,1,1,6,10,9,3,6,8,6,6,24,24,24,12,9,3,1,2,3,2,4,3,
3,3,12,6,1,1,1,3,3,1,1,2,2,3,1,1,1,1,1,1,1,1],[1,81,1,12,36,72,108,81,324,648,
4,9,12,24,27,54,54,108,108,9,27,54,54,108,108,108,324,648,1,3,4,6,6,6,8,12,12,
12,12,12,12,24,9,27,36,54,54,54,72,108,108,108,108,108,108,216,4,12,24,12,36,
72,1,1],[1,27,1,12,36,72,9,108,108,4,9,12,24,27,54,54,108,108,12,27,27,36,108,
1,3,4,6,6,6,8,12,12,12,12,12,12,24,1,9,12,12,12,12,4,12,24,4,12,1,1],[1,27,1,
12,36,72,9,108,108,4,9,12,24,27,54,54,108,108,12,27,27,36,108,1,3,4,6,6,6,8,
12,12,12,12,12,12,24,1,9,12,12,12,12,4,12,24,4,12,1,1],[1,81,10,30,9,18,270,
810,81,40,45,45,3,6,18,27,360,405,405,27,81,10,30,1,2,3,3,3,6,6,6,6,30,90,9,9,
9,9,1,1,2,3,6,1,3,9,1,1],[1,27,10,30,9,18,18,18,108,27,40,45,45,3,6,18,27,3,3,
27,36,36,6,72,27,10,30,1,2,3,3,3,6,6,6,6,12,18,18,3,3,3,3,6,6,6,6,1,1,2,3,6,3,
1,3,6,1,1],[1,27,10,30,9,18,36,54,54,27,54,40,45,45,3,6,18,27,3,27,36,36,9,72,
27,54,10,30,1,2,3,3,3,6,6,6,6,6,6,3,36,6,9,9,9,1,1,2,3,6,3,1,3,6,1,1],[1,27,1,
12,9,18,9,108,27,4,9,3,6,27,27,3,27,9,36,27,1,1,2,3,3,3,9,9,9,9,9,3,3,3,3,9,9,
9,9,1,3,3,6,1,3,9,1,1],[1,81,27,27,10,30,27,81,243,270,18,18,36,54,54,810,108,
81,40,45,45,27,27,27,54,162,162,81,324,3,3,360,27,405,27,405,36,36,36,36,72,
72,27,81,10,30,9,9,27,27,18,27,27,108,108,54,216,30,6,6,90,12,18,18,36,27,27,
1,1,3,18,9,18,9,36,18,1,3,3,3,9,1,3,3,1],[1,27,54,4,9,36,27,27,81,36,36,36,27,
54,108,81,4,3,6,12,24,27,27,27,27,54,3,6,12,18,18,18,18,24,36,27,27,1,4,8,3,9,
9,18,3,6,12,24,9,4,1,3,3,4,3,1,1],[1,9,10,30,54,81,12,18,18,81,40,45,45,18,54,
54,54,1,9,12,12,24,54,10,30,6,9,9,18,2,2,12,9,9,1,2,6,6,6,1,6,1,2,1],[1,9,10,
30,81,12,18,18,81,40,45,45,54,54,1,9,12,12,24,10,30,9,9,2,2,12,9,9,1,6,6,1,1,
1],[1,9,10,30,81,12,18,18,81,40,45,45,54,54,1,9,12,12,24,10,30,9,9,2,2,12,9,9,
1,6,6,1,1,1],[1,9,10,30,54,81,12,18,18,81,40,45,45,18,54,54,54,1,9,12,12,24,
54,10,30,6,9,9,18,2,2,12,9,9,1,2,6,6,6,1,6,1,2,1],[1,45,10,30,54,81,60,90,90,
81,40,45,45,54,54,54,54,5,45,60,60,120,54,10,30,18,9,9,54,10,10,60,9,9,1,2,18,
6,6,5,6,2,1,1],[1,81,9,9,10,30,9,81,81,270,6,6,12,18,18,810,36,81,40,45,45,18,
18,54,54,54,54,108,1,1,360,9,405,9,405,12,12,12,12,24,24,54,54,10,30,1,9,9,9,
9,9,36,36,72,30,2,2,90,4,6,6,12,9,9,1,2,2,6,6,6,6,12,1,1,1,6,6,1,1,1,1],[1,9,
36,10,30,54,81,24,24,12,18,18,144,81,40,45,45,18,36,54,54,54,1,4,9,36,48,48,
12,12,96,24,54,10,30,6,9,9,12,18,36,2,2,16,24,24,12,9,9,1,2,6,6,6,12,4,1,6,1,
2,1],[1,27,18,10,30,9,27,27,12,12,36,54,54,72,27,40,45,45,27,18,18,27,9,18,27,
3,2,27,18,24,24,36,36,48,72,9,27,10,30,1,3,9,9,6,9,27,18,6,6,8,12,12,36,3,9,1,
1,1,2,2,3,9,6,2,3,1,3,1,1,1,1],[1,81,9,9,10,30,27,27,81,270,6,6,12,18,18,810,
36,81,40,45,45,9,9,27,27,54,54,108,1,1,360,9,405,9,405,12,12,12,12,24,24,27,
27,10,30,3,3,9,9,9,9,36,36,72,30,2,2,90,4,6,6,12,9,9,1,1,1,6,6,3,3,12,1,1,1,3,
3,1,1,1,1],[1,9,10,30,9,27,27,12,18,18,27,40,45,45,9,18,9,18,27,27,1,9,12,12,
24,9,27,10,30,1,3,3,9,9,9,2,2,12,3,9,1,1,1,2,2,3,3,1,1,3,1,1,1,1],[1,45,4,9,
36,54,81,42,63,36,36,81,4,3,6,12,24,45,27,27,27,3,18,24,24,12,36,27,27,1,4,8,
12,9,18,3,4,6,9,4,1,3,3,4,3,1,1],[1,27,27,9,4,9,36,27,27,81,36,3,36,27,81,36,
108,27,4,3,6,12,24,27,27,18,27,27,108,3,12,9,9,18,6,6,18,18,36,27,27,1,4,8,3,
9,9,18,18,18,3,1,3,12,9,4,1,3,3,4,1,1,1],[1,45,4,9,36,54,81,42,63,36,36,81,4,
3,6,12,24,45,27,27,27,3,18,24,24,12,36,27,27,1,4,8,12,9,18,3,6,4,9,4,1,3,3,4,
3,1,1],[1,45,40,30,90,45,36,120,45,45,45,10,36,30,45,10,36,30,10,10,10,12,10,
1,1],[1,45,40,30,90,45,36,120,45,45,45,10,36,30,45,10,36,30,10,10,10,12,10,1,
1],[1,1,45,45,40,45,30,90,45,45,36,120,40,120,30,90,45,45,45,10,36,36,36,30,
120,45,10,10,10,36,30,30,30,10,10,10,30,12,10,12,1,1],[1,45,40,30,90,45,36,
120,45,45,45,10,36,30,45,10,36,30,10,10,10,12,10,1,1],[1,45,40,30,90,45,36,
120,45,45,45,10,36,30,45,10,36,30,10,10,10,12,10,1,1],[1,10,30,36,72,40,45,45,
12,24,27,54,54,72,108,108,10,30,3,4,6,6,6,8,12,12,12,12,12,12,24,24,24,24,24,
1,4,8,12,12,24,24,24,48,1,4,8,1],[1,45,10,30,81,60,90,90,40,45,45,81,5,45,60,
60,120,10,30,10,10,60,1,5,1,1],[1,45,10,30,81,30,30,180,40,45,45,81,5,45,60,
60,120,10,30,20,30,30,1,5,1,1],[1,81,10,30,81,270,810,40,45,45,81,360,405,405,
10,30,30,90,1,1,1,1],[1,81,1,12,36,72,243,108,81,324,648,4,9,12,24,27,54,54,
108,108,81,9,27,54,54,108,108,108,324,648,1,3,4,6,6,6,8,12,12,12,12,12,12,24,
27,81,162,9,27,36,54,54,54,72,108,108,108,108,108,108,216,4,12,24,9,27,54,12,
36,72,1,1,1],[1,81,1,12,36,72,81,108,81,324,648,4,9,12,24,27,54,54,108,108,81,
9,27,54,54,108,108,108,324,648,1,3,4,6,6,6,8,12,12,12,12,12,12,24,9,27,9,27,
36,54,54,54,72,108,108,108,108,108,108,216,4,12,24,9,27,54,12,36,72,1,1,1],[1,
81,1,12,36,72,243,108,81,324,648,4,9,12,24,27,54,54,108,108,81,9,27,54,54,108,
108,108,324,648,1,3,4,6,6,6,8,12,12,12,12,12,12,24,27,81,162,9,27,36,54,54,54,
72,108,108,108,108,108,108,216,4,12,24,9,27,54,12,36,72,1,1,1],[1,81,1,12,36,
72,81,108,81,324,648,4,9,12,24,27,54,54,108,108,81,9,27,54,54,108,108,108,324,
648,1,3,4,6,6,6,8,12,12,12,12,12,12,24,9,9,18,9,27,36,54,54,54,72,108,108,108,
108,108,108,216,4,12,24,9,9,18,18,36,12,36,72,1,1,1],[1,81,1,12,36,72,243,108,
81,324,648,4,9,12,24,27,54,54,108,108,81,9,27,54,54,108,108,108,324,648,1,3,4,
6,6,6,8,12,12,12,12,12,12,24,27,27,54,54,108,9,27,36,54,54,54,72,108,108,108,
108,108,108,216,4,12,24,9,9,18,18,36,12,36,72,1,1,1],[1,27,10,30,36,72,27,36,
54,54,40,45,45,12,24,72,108,27,27,27,54,3,27,36,36,72,10,30,4,8,12,12,12,24,
24,24,24,9,27,27,6,6,36,1,4,8,12,24,1,9,3,4,1,1,2,1],[1,27,81,27,1,12,36,72,
243,9,9,108,81,108,108,108,108,324,648,4,9,12,24,27,54,54,108,108,81,324,324,
9,27,12,12,27,27,54,54,27,27,108,36,36,108,108,108,324,108,648,1,3,4,6,6,6,8,
12,12,12,12,12,12,24,27,27,108,108,108,1,1,9,9,27,9,12,12,12,12,12,12,12,36,
12,54,54,54,72,108,108,108,108,108,108,216,4,12,24,9,9,36,36,36,36,4,12,4,12,
36,12,72,1,12,12,1,1,1,1],[1,81,1,12,36,72,81,108,81,324,648,4,9,12,24,27,54,
54,108,108,81,9,27,54,54,108,108,108,324,648,1,3,4,6,6,6,8,12,12,12,12,12,12,
24,9,9,18,9,27,36,54,54,54,72,108,108,108,108,108,108,216,4,12,24,9,9,18,18,
36,12,36,72,1,1,1],[1,81,27,27,10,30,9,18,243,270,18,18,36,54,54,810,108,27,
81,27,54,40,45,45,3,6,18,27,162,162,324,81,3,3,360,3,27,405,27,405,36,36,36,
36,6,9,27,72,72,27,27,81,54,10,30,1,2,3,3,3,6,6,6,6,27,27,108,108,27,216,27,
30,6,6,90,12,18,18,3,3,9,9,9,3,3,3,9,36,6,6,6,6,6,9,9,9,1,1,2,3,6,18,18,36,9,
9,9,9,1,3,3,1,3,1,3,3,9,6,6,1,3,3,3,1,1,1,1],[1,81,9,9,10,30,9,81,81,270,6,6,
12,18,18,810,36,81,81,81,40,45,45,18,18,54,54,54,54,108,81,1,1,360,9,405,9,
405,12,12,12,12,24,24,54,54,10,30,1,9,9,9,9,9,36,36,72,30,2,2,90,4,6,6,12,9,9,
9,9,9,9,1,2,2,6,6,6,6,12,9,9,1,1,1,6,6,1,1,1,1,1,1,1],[1,81,9,9,10,30,9,54,54,
81,81,270,6,6,12,18,18,810,36,54,81,81,81,162,40,45,45,18,18,18,18,54,54,54,
54,54,54,108,81,1,1,360,9,405,9,405,12,12,12,12,24,24,18,54,54,54,54,54,54,54,
10,30,1,6,6,9,9,9,9,9,18,18,36,36,72,54,30,2,2,90,4,6,6,12,6,9,9,9,9,9,9,18,
18,18,1,2,2,2,2,6,6,6,6,6,6,12,9,9,1,1,1,2,6,6,6,6,6,6,6,1,1,1,2,2,6,1,1,1,2,
2,1],[1,81,45,45,10,30,9,54,162,81,405,270,30,30,60,90,90,810,180,162,54,81,
81,81,40,45,45,54,18,18,54,54,108,54,270,54,270,162,540,81,5,5,360,45,405,45,
405,60,60,60,60,120,120,54,18,54,54,54,162,54,54,10,30,1,18,18,9,45,9,9,45,36,
54,54,180,180,108,360,54,30,10,10,90,20,30,30,60,6,9,9,9,9,9,9,18,54,54,1,2,6,
2,2,30,18,30,18,6,6,60,36,9,9,1,5,5,6,2,6,6,18,6,6,6,2,5,1,1,6,6,2,1,1,1,2,
1],[1,9,36,10,30,54,54,81,24,24,12,18,18,144,81,81,81,40,45,45,18,18,36,54,54,
54,54,81,1,4,9,36,48,48,12,12,96,24,54,54,10,30,6,6,9,9,12,18,18,36,2,2,16,24,
24,12,9,9,9,9,9,9,1,2,2,6,6,6,6,12,9,9,4,1,6,6,1,2,2,1,1,1,1],[1,9,36,10,30,
54,54,81,24,24,12,18,18,144,81,81,81,40,45,45,18,18,36,54,54,54,54,81,1,4,9,
36,48,48,12,12,96,24,54,54,10,30,6,6,9,9,12,18,18,36,2,2,16,24,24,12,9,9,9,9,
9,9,1,2,2,6,6,6,6,12,9,9,4,1,6,6,1,2,2,1,1,1,1],[1,45,10,30,54,54,81,60,90,90,
81,81,81,40,45,45,54,18,54,54,54,54,81,5,45,60,60,120,54,54,10,30,6,18,9,9,18,
54,10,10,60,9,9,9,9,9,9,1,2,2,18,6,6,6,9,9,5,6,6,2,1,2,1,1,1,1],[1,45,10,30,
54,54,81,60,90,90,81,81,81,40,45,45,18,54,54,54,54,54,81,5,45,60,60,120,54,54,
10,30,6,18,9,9,54,18,10,10,60,9,9,9,9,9,9,1,2,2,18,6,6,6,9,9,5,6,6,2,1,2,1,1,
1,1],[1,27,45,63,4,9,36,27,54,162,81,243,36,36,39,42,63,36,81,90,108,108,36,
108,108,81,81,81,4,3,6,12,24,45,27,27,27,45,90,135,27,108,81,162,108,81,3,6,
12,12,18,9,9,18,24,24,24,24,24,36,36,12,36,27,27,27,27,27,27,27,27,81,27,1,4,
8,3,12,12,9,9,18,24,18,18,36,36,36,36,36,27,27,3,1,6,3,12,12,4,6,24,12,9,9,9,
18,18,4,1,3,3,3,3,3,3,6,6,12,9,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,45,45,
40,45,30,90,90,90,45,45,36,120,40,120,30,90,90,45,45,45,45,45,45,45,90,10,36,
36,36,30,120,45,45,45,45,45,45,45,10,10,10,36,36,36,30,30,30,45,10,10,10,10,
10,10,10,36,30,12,10,10,10,10,10,10,10,12,10,1,1,1,1,1],[1,81,10,30,36,72,270,
810,324,40,45,45,12,24,27,54,54,72,108,108,360,405,405,81,108,324,10,30,3,4,6,
6,6,8,12,12,12,12,12,12,24,24,24,24,24,30,90,27,36,36,36,36,1,4,8,12,12,24,24,
24,48,1,12,36,36,1,4,8,3,4,1,1],[1,81,10,30,36,72,108,162,162,324,648,40,45,
45,12,24,27,54,54,72,108,108,9,27,81,54,54,108,108,108,108,216,324,648,10,30,
3,4,6,6,6,8,12,12,12,12,12,12,24,24,24,24,24,18,18,27,36,54,54,108,54,72,108,
108,108,108,108,108,216,1,4,8,12,12,24,24,24,48,9,12,36,36,72,72,1,4,8,1,12,1,
1],[1,81,10,30,36,72,54,54,324,324,40,45,45,12,24,27,54,54,72,108,108,9,36,81,
108,108,72,81,216,324,10,30,3,4,6,6,6,8,12,12,12,12,12,12,24,24,24,24,24,3,36,
54,54,36,36,36,36,72,72,72,72,1,4,8,12,12,24,24,24,48,9,12,12,24,36,72,1,4,8,
3,12,24,1,1],[1,45,10,30,135,81,60,90,90,40,45,45,81,45,135,5,45,60,60,120,81,
10,30,15,45,10,10,60,1,5,15,5,5,1,1,1],[1,45,10,30,135,81,60,90,90,40,45,45,
81,45,135,5,45,60,60,120,81,10,30,15,45,10,10,60,1,5,15,5,5,1,1,1],[1,81,45,
45,10,30,405,81,270,30,30,60,90,90,810,180,40,45,45,81,81,81,270,270,540,5,5,
360,45,405,45,405,60,60,60,60,120,120,81,10,30,45,45,180,180,360,30,10,10,90,
20,30,30,60,1,30,30,60,1,5,5,5,1,1,1,1,1],[1,81,1,12,36,72,81,243,243,108,81,
324,648,243,4,9,12,24,27,54,54,108,108,81,81,81,9,27,54,54,108,108,108,324,
648,81,1,3,4,6,6,6,8,12,12,12,12,12,12,24,9,27,27,27,81,81,162,162,9,27,36,54,
54,54,72,108,108,108,108,108,108,216,27,81,4,12,24,9,9,9,27,27,27,54,54,54,12,
36,72,9,27,1,1,1,1,1,1],[1,27,54,10,30,36,72,27,27,81,36,36,36,54,54,216,108,
81,40,45,45,12,24,72,108,27,27,54,54,27,27,54,54,81,3,6,12,27,54,72,72,36,36,
24,144,72,108,27,27,81,10,30,4,8,12,12,12,24,24,24,24,3,9,9,27,18,27,27,27,54,
6,6,24,36,36,12,12,12,12,36,24,24,24,24,9,27,27,1,4,8,12,24,1,3,6,6,9,9,18,6,
3,4,12,24,3,9,4,1,1,3,2,3,4,1,3,1,1],[1,27,81,27,1,12,36,72,81,243,243,9,9,
108,81,108,108,108,108,324,648,243,4,9,12,24,27,54,54,108,108,81,81,81,324,
324,9,27,12,12,27,27,54,54,27,27,108,36,36,108,108,108,324,108,648,81,1,3,4,6,
6,6,8,12,12,12,12,12,12,24,27,9,9,27,18,81,27,162,108,108,108,1,1,9,9,27,9,12,
12,12,12,12,12,12,36,12,54,54,54,72,108,108,108,108,108,108,216,27,27,4,12,24,
9,9,9,27,9,9,18,54,18,36,36,36,36,36,4,12,4,12,36,12,72,9,9,1,12,12,1,1,1,1,1,
1,1],[1,81,1,12,36,72,324,243,108,81,324,648,243,4,9,12,24,27,54,54,108,108,
81,81,81,9,27,54,54,108,108,108,324,648,81,1,3,4,6,6,6,8,12,12,12,12,12,12,24,
9,36,27,18,81,27,54,54,162,108,9,27,36,54,54,54,72,108,108,108,108,108,108,
216,27,27,54,4,12,24,9,27,9,9,9,9,18,18,54,18,18,36,36,12,36,72,9,9,18,1,1,1,
1,1,1],[1,27,81,27,1,12,36,72,243,81,243,9,9,108,81,108,108,108,108,324,648,
243,4,9,12,24,27,54,54,108,108,81,81,81,324,324,9,27,12,12,27,27,54,54,27,27,
108,36,36,108,108,108,324,108,648,81,1,3,4,6,6,6,8,12,12,12,12,12,12,24,9,27,
9,27,18,81,27,162,108,108,108,1,1,9,9,27,9,12,12,12,12,12,12,12,36,12,54,54,
54,72,108,108,108,108,108,108,216,27,27,4,12,24,9,27,9,9,9,9,18,54,18,36,36,
36,36,36,4,12,4,12,36,12,72,9,9,1,12,12,1,1,1,1,1,1,1],[1,27,81,27,1,12,36,72,
81,243,243,9,9,108,81,108,108,108,108,324,648,243,4,9,12,24,27,54,54,108,108,
81,81,81,324,324,9,27,12,12,27,27,54,54,27,27,108,36,36,108,108,108,324,108,
648,81,1,3,4,6,6,6,8,12,12,12,12,12,12,24,9,27,27,27,27,27,54,54,108,108,108,
108,1,1,9,9,27,9,12,12,12,12,12,12,12,36,12,54,54,54,72,108,108,108,108,108,
108,216,27,27,4,12,24,9,9,27,9,9,9,18,18,54,36,36,36,36,36,4,12,4,12,36,12,72,
9,9,1,12,12,1,1,1,1,1,1,1],[1,81,27,27,10,30,36,72,27,81,243,270,18,18,36,54,
54,810,108,324,81,40,45,45,12,24,72,108,27,27,27,27,54,54,162,162,81,324,3,3,
360,27,405,27,405,36,36,36,36,108,72,72,324,27,81,81,10,30,4,8,12,12,12,24,24,
24,24,9,9,27,27,18,27,27,27,108,108,54,216,30,6,6,90,12,18,18,36,36,36,36,36,
27,27,27,1,4,8,12,24,1,3,18,9,18,9,36,18,1,3,3,12,36,3,9,4,1,1,3,2,3,4,1,3,1,
1],[1,81,1,12,36,72,81,81,81,108,81,324,648,81,4,9,12,24,27,54,54,108,108,81,
81,81,9,27,54,54,108,108,108,324,648,81,1,3,4,6,6,6,8,12,12,12,12,12,12,24,9,
9,9,9,27,9,18,18,9,27,36,54,54,54,72,108,108,108,108,108,108,216,9,9,4,12,24,
9,27,9,9,9,9,18,18,18,54,18,36,36,12,36,72,9,9,18,1,1,1,1,1,1],[1,81,1,12,36,
72,324,243,108,81,324,648,243,4,9,12,24,27,54,54,108,108,81,81,81,9,27,54,54,
108,108,108,324,648,81,1,3,4,6,6,6,8,12,12,12,12,12,12,24,36,9,27,18,27,81,54,
54,162,108,9,27,36,54,54,54,72,108,108,108,108,108,108,216,27,27,54,4,12,24,9,
27,9,9,9,9,18,18,54,18,18,36,36,12,36,72,9,9,18,1,1,1,1,1,1],[1,81,10,30,36,
72,108,243,108,162,162,108,216,243,40,45,45,12,24,72,108,108,27,108,54,162,
162,9,81,108,108,36,216,108,216,81,162,162,10,30,4,8,12,12,12,24,24,24,24,36,
27,27,27,108,18,18,12,108,24,36,36,36,27,27,27,1,4,8,12,24,4,36,18,18,9,4,12,
24,18,4,1,4,3,2,4,3,3,6,1,1],[1,81,45,45,10,30,9,54,54,54,162,81,405,270,30,
30,60,90,90,810,180,162,54,54,81,81,81,81,81,81,81,162,40,45,45,18,54,18,18,
18,54,54,108,54,54,54,270,54,270,162,540,81,81,81,81,81,81,81,5,5,360,45,405,
45,405,60,60,60,60,120,120,54,18,18,54,54,54,54,54,54,54,54,162,54,54,10,30,
81,1,6,6,18,18,9,45,9,9,45,36,18,54,54,18,180,180,108,360,54,54,30,10,10,90,
20,30,30,60,6,6,9,9,9,9,9,9,9,9,9,9,9,9,9,9,18,54,18,54,18,18,1,2,6,2,2,2,2,
30,18,30,18,6,6,6,6,60,36,9,9,9,9,9,9,9,9,9,9,9,9,9,9,1,5,5,6,2,2,6,6,18,6,6,
6,6,6,6,6,6,9,9,2,5,1,1,2,6,2,6,6,2,1,1,1,1,1,1,1,2,2,2,1,1,1,1,1,1,1,1],[1,
81,81,81,10,30,36,72,729,270,54,54,108,162,162,810,324,324,324,324,648,40,45,
45,12,24,27,54,54,72,108,108,486,486,972,972,9,9,27,360,36,81,405,81,405,108,
54,54,108,108,108,72,81,81,108,108,216,108,216,324,324,324,648,10,30,3,4,6,6,
6,8,12,12,12,12,12,12,24,24,24,24,24,81,81,81,324,324,324,648,324,3,30,18,18,
90,36,27,27,54,54,36,36,36,36,36,36,36,36,36,54,54,108,54,72,72,72,72,72,108,
108,108,108,108,108,216,1,4,8,12,12,24,24,24,48,54,27,54,108,108,108,108,108,
1,9,9,12,12,12,12,24,36,36,36,36,36,72,72,72,1,4,8,9,36,36,36,1,3,3,4,12,12,
24,1,3,12,1,1,1,1],[1,81,10,30,36,72,243,108,162,162,324,648,40,45,45,12,24,
27,54,54,72,108,108,81,243,9,27,81,54,54,108,108,108,108,216,324,648,10,30,3,
4,6,6,6,8,12,12,12,12,12,12,24,24,24,24,24,27,81,81,162,18,18,27,36,54,54,108,
54,72,108,108,108,108,108,108,216,1,4,8,12,12,24,24,24,48,9,27,27,54,9,12,36,
36,72,72,1,4,8,9,1,12,1,1,1,1],[1,81,10,30,36,72,81,108,162,162,324,648,40,45,
45,12,24,27,54,54,72,108,108,162,162,9,27,81,54,54,108,108,108,108,216,324,
648,10,30,3,4,6,6,6,8,12,12,12,12,12,12,24,24,24,24,24,9,27,81,18,18,27,36,54,
54,108,54,72,108,108,108,108,108,108,216,1,4,8,12,12,24,24,24,48,18,18,27,54,
9,12,36,36,72,72,1,4,8,9,1,12,1,1,1,1],[1,81,10,30,36,72,729,108,162,162,324,
648,40,45,45,12,24,27,54,54,72,108,108,486,486,9,27,81,54,54,108,108,108,108,
216,324,648,10,30,3,4,6,6,6,8,12,12,12,12,12,12,24,24,24,24,24,81,81,81,162,
162,324,18,18,27,36,54,54,108,54,72,108,108,108,108,108,108,216,1,4,8,12,12,
24,24,24,48,54,27,54,54,54,108,9,12,36,36,72,72,1,4,8,9,1,12,1,3,1,1],[1,81,
10,30,36,72,243,108,162,162,324,648,40,45,45,12,24,27,54,54,72,108,108,81,243,
9,27,81,54,54,108,108,108,108,216,324,648,10,30,3,4,6,6,6,8,12,12,12,12,12,12,
24,24,24,24,24,27,27,54,81,18,18,27,36,54,54,108,54,72,108,108,108,108,108,
108,216,1,4,8,12,12,24,24,24,48,9,27,27,54,54,108,9,12,36,36,72,72,1,4,8,9,1,
12,1,3,1,1],[1,81,10,30,36,72,243,108,162,162,324,648,40,45,45,12,24,27,54,54,
72,108,108,81,243,9,27,81,54,54,108,108,108,108,216,324,648,10,30,3,4,6,6,6,8,
12,12,12,12,12,12,24,24,24,24,24,27,81,81,162,18,18,27,36,54,54,108,54,72,108,
108,108,108,108,108,216,1,4,8,12,12,24,24,24,48,9,27,27,54,9,12,36,36,72,72,1,
4,8,9,1,12,1,1,1,1],[1,81,10,30,36,72,243,108,162,162,324,648,40,45,45,12,24,
27,54,54,72,108,108,81,243,9,27,81,54,54,108,108,108,108,216,324,648,10,30,3,
4,6,6,6,8,12,12,12,12,12,12,24,24,24,24,24,27,27,54,81,18,18,27,36,54,54,108,
54,72,108,108,108,108,108,108,216,1,4,8,12,12,24,24,24,48,9,27,27,54,54,108,9,
12,36,36,72,72,1,4,8,9,1,12,1,3,1,1],[1,81,45,45,10,30,135,135,405,81,270,30,
30,60,90,90,810,180,405,40,45,45,81,81,81,45,45,135,135,270,270,540,5,5,360,
45,405,45,405,60,60,60,60,120,120,81,81,81,135,135,10,30,15,15,45,45,45,45,
180,180,360,81,30,10,10,90,20,30,30,60,45,45,1,5,5,30,30,15,15,60,1,5,5,15,15,
5,5,5,1,5,1,1,1,1,1,1,1],[1,81,81,81,10,30,36,72,27,108,324,243,729,270,54,54,
108,162,162,810,324,108,324,108,216,324,162,243,243,243,40,45,45,12,24,72,108,
108,27,54,54,108,108,54,216,162,486,162,486,324,972,324,243,9,9,360,12,81,405,
81,405,108,108,108,108,24,36,108,216,216,108,108,324,216,108,54,27,162,81,162,
162,81,324,162,162,162,10,30,4,8,12,12,12,24,24,24,24,3,36,36,27,81,27,27,81,
72,27,108,108,324,324,216,108,648,108,81,162,30,18,18,90,36,54,54,12,12,36,36,
36,12,12,12,36,108,24,24,24,24,24,36,36,36,18,27,27,27,27,27,27,54,27,108,108,
27,27,1,4,8,12,24,4,12,6,6,54,36,54,36,18,18,108,72,36,36,36,36,27,27,27,1,9,
9,4,12,4,12,12,36,24,24,12,6,18,18,36,18,18,18,4,1,4,9,3,3,2,12,12,12,18,4,4,
4,4,1,3,3,3,6,3,3,6,1,4,3,3,1,1,1,1],[1,27,81,27,1,12,36,72,81,324,324,243,
243,9,9,108,81,108,108,108,108,324,648,324,243,243,243,486,4,9,12,24,27,54,54,
108,108,81,81,81,81,81,81,81,324,324,243,9,27,12,12,27,27,54,54,27,27,108,36,
36,108,108,108,324,108,648,81,81,81,81,81,81,81,1,3,4,6,6,6,8,12,12,12,12,12,
12,24,9,36,9,36,27,9,27,27,18,18,81,27,81,27,54,54,162,162,108,108,108,108,81,
1,1,9,9,27,9,12,12,12,12,12,12,12,36,12,54,54,54,72,108,108,108,108,108,108,
216,36,9,27,27,27,27,27,81,27,54,27,27,54,54,4,12,24,9,9,9,27,9,27,9,27,9,9,9,
9,9,9,18,18,18,54,54,18,18,54,18,36,36,36,36,36,36,36,27,27,4,12,4,12,36,12,
72,9,9,9,27,9,9,9,9,9,9,9,9,9,9,18,18,18,1,12,12,9,9,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1],[1,135,10,30,90,180,135,486,180,270,270,270,540,40,45,45,30,60,
180,270,486,135,135,135,270,15,135,180,180,90,360,270,540,10,30,10,20,30,30,
30,60,60,60,60,45,135,135,30,30,30,180,60,90,90,90,81,162,1,10,20,30,60,5,45,
15,10,30,60,10,5,5,10,6,10,6,5,1],[1,81,81,81,10,30,36,72,81,729,729,270,54,
54,108,162,162,810,324,324,324,324,648,729,40,45,45,12,24,27,54,54,72,108,108,
162,162,486,486,486,486,972,972,9,9,27,360,36,81,405,81,405,108,54,54,108,108,
108,72,81,81,108,108,216,108,216,324,324,324,648,486,486,10,30,3,4,6,6,6,8,12,
12,12,12,12,12,24,24,24,24,24,9,27,81,81,81,81,81,81,81,324,324,162,162,324,
648,324,324,3,30,18,18,90,36,27,27,54,54,36,36,36,36,36,36,36,36,36,54,54,108,
54,72,72,72,72,72,108,108,108,108,108,108,216,81,81,81,1,4,8,12,12,24,24,24,
48,18,18,54,27,27,54,54,27,54,108,54,54,54,108,108,108,108,108,1,9,9,12,12,12,
12,24,36,36,36,36,36,72,72,72,27,54,54,1,4,8,9,9,9,36,36,36,1,3,3,4,12,12,24,
9,1,1,3,3,12,1,1,1,3,1,1,1,1],[1,81,81,81,10,30,36,72,243,243,729,270,54,54,
108,162,162,810,324,324,324,324,648,729,40,45,45,12,24,27,54,54,72,108,108,81,
81,243,243,486,486,972,972,9,9,27,360,36,81,405,81,405,108,54,54,108,108,108,
72,81,81,108,108,216,108,216,324,324,324,648,243,243,10,30,3,4,6,6,6,8,12,12,
12,12,12,12,24,24,24,24,24,27,27,27,81,81,54,81,81,81,81,324,324,162,324,648,
324,3,30,18,18,90,36,27,27,54,54,36,36,36,36,36,36,36,36,36,54,54,108,54,72,
72,72,72,72,108,108,108,108,108,108,216,81,81,81,1,4,8,12,12,24,24,24,48,9,9,
54,27,54,27,27,27,27,108,54,54,54,108,108,108,108,108,1,9,9,12,12,12,12,24,36,
36,36,36,36,72,72,72,27,27,27,1,4,8,9,9,9,36,36,36,1,3,3,4,12,12,24,9,1,1,3,3,
12,1,1,1,3,1,1,1,1],[1,81,81,81,10,30,36,72,243,243,729,270,54,54,108,162,162,
810,324,324,324,324,648,729,40,45,45,12,24,27,54,54,72,108,108,81,81,243,243,
486,486,972,972,9,9,27,360,36,81,405,81,405,108,54,54,108,108,108,72,81,81,
108,108,216,108,216,324,324,324,648,243,243,10,30,3,4,6,6,6,8,12,12,12,12,12,
12,24,24,24,24,24,27,27,27,81,81,54,81,81,81,81,324,324,162,324,648,324,3,30,
18,18,90,36,27,27,54,54,36,36,36,36,36,36,36,36,36,54,54,108,54,72,72,72,72,
72,108,108,108,108,108,108,216,81,81,81,1,4,8,12,12,24,24,24,48,9,9,54,27,27,
54,27,27,27,54,108,54,54,108,108,108,108,108,1,9,9,12,12,12,12,24,36,36,36,36,
36,72,72,72,27,27,27,1,4,8,9,9,9,36,36,36,1,3,3,4,12,12,24,9,1,1,3,3,12,1,1,1,
3,1,1,1,1],[1,81,10,30,36,72,81,243,243,108,162,162,324,648,243,40,45,45,12,
24,27,54,54,72,108,108,81,162,81,162,243,243,9,27,81,54,54,108,108,108,108,
216,324,648,81,243,10,30,3,4,6,6,6,8,12,12,12,12,12,12,24,24,24,24,24,9,27,27,
27,27,27,81,54,54,81,81,18,18,27,36,54,54,108,54,72,108,108,108,108,108,108,
216,27,27,81,1,4,8,12,12,24,24,24,48,9,9,18,18,27,27,27,27,27,54,54,54,54,54,
108,108,9,12,36,36,72,72,9,27,27,54,1,4,8,9,9,9,1,12,9,1,1,3,3,1,3,1,1,1,1],[
1,81,10,30,36,72,486,729,108,162,162,324,648,729,40,45,45,12,24,27,54,54,72,
108,108,162,486,486,486,9,27,81,54,54,108,108,108,108,216,324,648,486,10,30,3,
4,6,6,6,8,12,12,12,12,12,12,24,24,24,24,24,54,27,81,81,54,81,162,81,162,162,
162,324,18,18,27,36,54,54,108,54,72,108,108,108,108,108,108,216,81,81,81,162,
1,4,8,12,12,24,24,24,48,18,27,27,54,54,27,54,54,54,54,54,54,108,108,9,12,36,
36,72,72,27,54,54,1,4,8,9,18,1,12,9,1,1,3,3,1,3,1,1,1,1],[1,81,10,30,36,72,81,
243,243,108,162,162,324,648,243,40,45,45,12,24,27,54,54,72,108,108,81,162,81,
162,243,243,9,27,81,54,54,108,108,108,108,216,324,648,81,243,10,30,3,4,6,6,6,
8,12,12,12,12,12,12,24,24,24,24,24,9,27,27,27,81,81,81,81,81,162,162,18,18,27,
36,54,54,108,54,72,108,108,108,108,108,108,216,27,81,81,1,4,8,12,12,24,24,24,
48,9,9,18,18,27,27,27,27,27,54,54,54,9,12,36,36,72,72,9,27,27,1,4,8,9,9,9,1,
12,9,1,1,1,1,1,1,1,1,1,1],[1,81,10,30,36,72,486,729,108,162,162,324,648,729,
40,45,45,12,24,27,54,54,72,108,108,162,486,486,486,9,27,81,54,54,108,108,108,
108,216,324,648,486,10,30,3,4,6,6,6,8,12,12,12,12,12,12,24,24,24,24,24,27,54,
81,81,54,162,81,81,162,162,162,324,18,18,27,36,54,54,108,54,72,108,108,108,
108,108,108,216,81,81,81,162,1,4,8,12,12,24,24,24,48,18,27,54,27,27,54,54,54,
54,54,54,54,108,108,9,12,36,36,72,72,27,54,54,1,4,8,9,18,1,12,9,1,1,3,3,1,3,1,
1,1,1],[1,81,135,135,10,30,90,180,135,405,1215,486,270,90,90,180,270,270,810,
540,270,810,270,540,405,40,45,45,30,60,180,270,486,486,486,135,135,135,135,
270,270,810,810,405,1620,810,15,15,360,30,135,405,135,405,180,180,180,180,60,
90,270,360,360,270,270,810,540,486,135,405,405,10,30,10,20,30,30,30,60,60,60,
60,45,45,135,135,90,135,135,135,540,540,270,270,1080,270,30,30,30,90,60,90,90,
30,30,90,90,90,30,30,30,90,180,60,60,60,60,60,90,90,90,81,162,135,135,135,1,
10,20,30,60,5,15,90,45,90,45,180,90,90,90,90,90,81,1,15,15,10,30,10,30,30,90,
60,60,15,45,10,5,5,15,10,15,30,30,6,10,10,10,5,15,6,6,6,5,10,6,5,1,1],[1,81,
81,81,10,30,36,72,81,486,486,729,729,270,54,54,108,162,162,810,324,324,324,
324,648,486,729,729,729,1458,40,45,45,12,24,27,54,54,72,108,108,162,162,162,
162,486,486,486,486,486,486,972,972,729,9,9,27,360,36,81,405,81,405,108,54,54,
108,108,108,72,81,81,108,108,216,108,216,324,324,324,648,162,486,486,486,486,
486,486,486,10,30,3,4,6,6,6,8,12,12,12,12,12,12,24,24,24,24,24,9,54,27,54,27,
27,81,81,81,81,81,54,54,162,81,81,162,81,81,324,324,162,162,162,162,324,648,
324,324,486,3,30,18,18,90,36,27,27,54,54,36,36,36,36,36,36,36,36,36,54,54,108,
54,72,72,72,72,72,108,108,108,108,108,108,216,54,27,81,81,81,81,81,81,81,162,
81,162,81,81,162,81,81,162,162,1,4,8,12,12,24,24,24,48,18,18,18,18,54,27,27,
27,54,27,27,54,27,54,27,54,54,54,108,54,54,54,54,54,54,54,54,108,108,108,108,
108,108,108,81,81,81,1,9,9,12,12,12,12,24,36,36,36,36,36,72,72,72,18,27,27,27,
27,27,27,54,27,54,54,54,54,54,54,54,54,54,1,4,8,9,9,9,18,18,36,36,36,27,54,1,
3,3,4,12,12,24,9,9,9,18,18,1,1,1,1,3,3,3,3,12,9,1,1,1,1,3,3,3,3,3,3,1,1,1,1,1,
1,1,3,1,1,1,1,1,1,1,1],[1,405,10,30,360,720,810,3645,2916,540,810,810,3240,
6480,3645,40,45,45,120,240,270,540,540,720,1080,1080,2916,810,810,810,1620,
2430,2430,45,270,405,540,540,540,540,1080,1080,1080,3240,6480,2430,2430,4860,
10,30,30,40,60,60,60,80,120,120,120,120,120,120,240,240,240,240,240,270,405,
405,810,810,810,1620,1620,3240,90,90,270,360,540,540,540,540,720,1080,1080,
1080,1080,1080,1080,2160,972,1944,405,405,810,1,40,80,120,120,240,240,240,480,
30,270,270,270,270,540,540,1080,45,120,360,360,720,720,270,10,40,80,30,30,45,
60,81,162,162,324,36,10,120,45,90,180,10,36,30,30,10,30,10,12,1],[1,81,405,
405,10,30,360,720,405,810,2430,3645,3645,2916,270,270,270,540,810,810,810,
1620,3240,3240,3240,6480,2430,2430,3645,3645,3645,40,45,45,120,240,270,540,
540,720,1080,1080,2916,2916,2916,810,810,810,810,810,810,1620,1620,2430,2430,
2430,2430,2430,4860,9720,3645,45,45,270,360,360,405,405,405,405,540,540,540,
540,540,540,720,810,810,1080,1080,1080,1080,1080,3240,3240,3240,6480,2916,810,
810,810,2430,2430,2430,2430,2430,2430,2430,2430,4860,10,30,30,40,60,60,60,80,
120,120,120,120,120,120,240,240,240,240,240,45,270,270,270,405,405,405,405,
405,540,810,810,810,810,810,1620,1620,1620,1620,1620,3240,3240,3240,3240,2430,
2430,30,30,90,90,90,180,270,270,270,270,360,360,360,360,360,360,360,360,360,
540,540,540,540,720,720,720,720,720,1080,1080,1080,1080,1080,1080,2160,972,
1944,270,405,405,405,405,405,405,810,810,810,810,810,810,810,1,40,80,120,120,
240,240,240,480,30,90,90,90,270,270,270,270,270,270,270,270,270,540,540,540,
540,540,1080,1080,1080,1080,1080,972,405,405,810,1,45,45,120,120,120,120,240,
360,360,360,360,360,720,720,720,90,90,270,270,270,270,270,270,270,10,40,80,30,
30,45,45,45,60,90,360,360,360,81,162,162,324,36,270,10,30,30,40,120,120,240,
30,30,45,45,45,90,90,90,180,81,10,36,36,36,10,30,30,30,120,45,90,10,10,10,36,
30,30,30,30,10,10,10,30,12,10,12,1,1],[1,405,10,30,360,720,810,2430,3645,2916,
540,810,810,3240,6480,3645,3645,3645,40,45,45,120,240,270,540,540,720,1080,
1080,2916,810,810,810,810,1620,2430,2430,2430,3645,45,270,405,540,540,540,540,
1080,1080,1080,3240,6480,2916,2430,2430,2430,4860,10,30,30,40,60,60,60,80,120,
120,120,120,120,120,240,240,240,240,240,270,270,270,405,405,540,810,810,810,
810,810,1620,1620,1620,3240,90,90,270,360,540,540,540,540,720,1080,1080,1080,
1080,1080,1080,2160,972,1944,405,405,405,405,405,405,810,810,1620,1,40,80,120,
120,240,240,240,480,30,90,270,270,270,270,270,270,270,540,540,540,540,540,
1080,1080,405,405,45,120,360,360,720,720,270,270,270,540,10,40,80,30,30,45,60,
90,81,162,162,324,36,10,120,45,45,45,90,180,81,162,10,36,10,30,30,30,45,10,36,
30,30,10,10,10,12,10,1,1],[1,405,10,30,360,720,810,2430,3645,2916,540,810,810,
3240,6480,3645,3645,3645,40,45,45,120,240,270,540,540,720,1080,1080,2916,810,
810,810,810,1620,2430,2430,2430,3645,45,270,405,540,540,540,540,1080,1080,
1080,3240,6480,2916,2430,2430,2430,4860,10,30,30,40,60,60,60,80,120,120,120,
120,120,120,240,240,240,240,240,270,270,270,405,405,540,810,810,810,810,810,
1620,1620,1620,3240,90,90,270,360,540,540,540,540,720,1080,1080,1080,1080,
1080,1080,2160,972,1944,405,405,405,405,405,405,810,810,1620,1,40,80,120,120,
240,240,240,480,30,90,270,270,270,270,270,270,270,540,540,540,540,540,1080,
1080,405,405,45,120,360,360,720,720,270,270,270,540,10,40,80,30,30,45,60,90,
81,162,162,324,36,10,120,45,45,45,90,180,81,162,10,36,10,30,30,30,45,10,36,30,
30,10,10,10,12,10,1,1],[1,81,405,405,10,30,360,720,405,810,2430,2430,2430,
3645,3645,2916,270,270,270,540,810,810,810,1620,3240,3240,3240,6480,2430,2430,
2430,3645,3645,3645,3645,3645,3645,3645,7290,40,45,45,120,240,270,540,540,720,
1080,1080,2916,2916,2916,810,810,810,810,810,810,810,810,1620,1620,2430,2430,
2430,2430,2430,2430,2430,4860,9720,3645,3645,3645,3645,3645,3645,3645,45,45,
270,360,360,405,405,405,405,540,540,540,540,540,540,720,810,810,1080,1080,
1080,1080,1080,3240,3240,3240,6480,2916,2916,2916,810,810,810,810,2430,2430,
2430,2430,2430,2430,2430,2430,2430,2430,2430,2430,2430,4860,10,30,30,40,60,60,
60,80,120,120,120,120,120,120,240,240,240,240,240,3645,45,270,270,270,270,270,
270,270,405,405,405,405,405,540,540,540,810,810,810,810,810,810,810,810,810,
1620,1620,1620,1620,1620,1620,1620,3240,3240,3240,3240,2916,2430,2430,2430,30,
30,90,90,90,180,270,270,270,270,360,360,360,360,360,360,360,360,360,540,540,
540,540,720,720,720,720,720,1080,1080,1080,1080,1080,1080,2160,972,1944,270,
270,270,405,405,405,405,405,405,405,405,405,405,405,405,405,405,810,810,810,
810,810,810,810,810,810,810,810,810,810,810,810,1620,1620,1,40,80,120,120,240,
240,240,480,30,90,90,90,90,90,270,270,270,270,270,270,270,270,270,270,270,270,
270,270,270,540,540,540,540,540,540,540,540,540,540,540,1080,1080,1080,1080,
1080,1080,1080,972,405,405,405,405,405,405,405,405,405,405,405,405,405,405,
810,810,1,45,45,120,120,120,120,240,360,360,360,360,360,720,720,720,90,90,90,
270,270,270,270,270,270,270,270,270,270,270,270,270,270,270,270,270,270,540,
540,540,10,40,80,405,405,30,30,45,45,45,60,90,90,90,360,360,360,81,162,162,
324,36,270,270,270,10,30,30,40,120,120,240,30,30,45,45,45,45,45,45,45,90,90,
90,90,90,180,81,81,81,162,162,10,36,36,36,10,10,10,30,30,30,30,30,120,45,45,
45,45,45,45,45,90,81,10,10,10,36,36,36,10,30,30,30,30,30,30,30,30,30,45,10,10,
10,10,10,10,10,36,30,30,12,10,10,10,10,10,10,10,12,10,1,1,1,1,1]],
[1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,5,6,6,6,6,6,6,6,6,6,6,6,6,8,8,8,8,8,8,8,8,8,8,
8,9,9,9,9,9,9,9,9,9,9,9,10,10,10,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,16,16,16,16,16,16,16,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,20,20,20,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,
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,
36,36,36,36,36,36,36,36,36,36,36,40,48,48,48,54,54,54,54,54,54,54,54,54,54,54,
54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,60,60,
72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,
72,72,72,72,72,72,72,72,81,81,81,81,81,81,81,81,81,108,108,108,108,108,108,
108,108,108,108,108,108,108,108,108,108,108,108,108,108,108,108,108,108,108,
108,108,108,108,108,108,108,108,108,108,108,108,108,108,120,144,144,144,144,
144,144,144,144,144,144,144,144,144,144,144,144,162,162,162,162,162,162,162,
162,162,162,162,162,162,162,162,162,216,216,216,216,216,216,216,216,216,216,
216,216,216,216,216,216,216,216,216,216,216,216,216,216,243,243,243,288,288,
324,324,324,324,324,324,324,324,324,324,324,324,360,360,360,360,405,432,432,
432,486,486,486,486,486,486,486,648,648,648,648,648,648,648,648,648,648,648,
648,648,648,648,720,720,720,720,720,729,810,810,810,972,972,972,972,972,972,
972,972,972,1296,1296,1296,1296,1296,1296,1296,1296,1440,1458,1458,1458,1620,
1620,1620,1944,1944,1944,1944,1944,1944,1944,1944,1944,1944,2592,2916,2916,
2916,2916,2916,2916,2916,3240,3888,3888,4860,5832,5832,5832,5832,5832,5832,
5832,9720,11664,29160,58320,58320,58320,116640],
[479,437,368,367,474,463,378,339,368,323,187,187,186,147,147,184,386,387,388,
347,317,313,323,244,182,172,180,106,185,186,187,147,147,147,147,147,147,147,
76,455,454,454,426,389,386,362,363,337,300,303,184,184,184,313,317,323,317,
313,313,323,317,252,244,187,187,187,186,186,187,186,124,72,147,147,147,147,
147,147,147,454,454,386,378,380,368,367,367,368,340,363,362,347,347,347,337,
322,322,303,277,279,300,290,182,180,182,106,184,184,184,323,313,317,323,187,
186,187,187,185,186,186,185,187,187,186,186,187,127,474,463,464,455,451,447,
452,439,426,426,427,426,424,423,393,395,395,389,395,147,454,387,386,387,388,
386,388,386,368,367,368,367,368,363,347,362,323,313,317,322,317,322,313,322,
322,247,244,258,244,257,258,257,180,181,182,183,184,185,186,187,464,464,431,
430,436,396,386,386,387,388,380,380,378,378,378,380,380,379,378,361,363,347,
362,338,337,337,337,337,302,304,301,305,300,303,222,307,224,387,388,386,368,
367,368,367,367,368,367,368,368,368,368,367,367,367,317,323,314,322,313,317,
322,313,322,322,323,323,319,322,322,257,258,479,455,440,426,428,395,389,394,
366,463,431,430,430,430,431,388,386,388,386,386,387,386,386,388,387,386,387,
386,387,388,363,347,362,363,363,362,361,347,362,361,361,300,301,302,303,304,
305,306,307,367,368,367,368,367,368,367,368,368,368,368,367,367,367,322,323,
479,454,454,428,426,428,426,395,380,379,379,378,378,337,338,339,436,430,431,
388,388,386,386,388,386,386,388,386,386,388,386,387,387,387,387,387,387,361,
362,363,474,455,440,367,368,463,463,454,454,454,453,430,431,430,378,379,380,
437,415,414,384,462,386,387,388,474,464,464,455,428,428,395,463,463,454,454,
454,454,454,454,454,431,430,430,436,436,410,437,437,437,414,415,474,462,462,
462,474,474,474,464,464,463,464,464,428,454,454,454,454,454,454,454,436,437,
474,474,474,462,462,462,474,463,464,464,464,464,463,464,464,463,454,474,474,
474,474,474,474,474,462,463,464,473,474,474,474,474,474,474,474,473,474,479,
479,479,479,479],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,5,5,6,6,1,1,6,1,7,1,7,8,1,3,3,3,1,1,3,3,3,1,
1,1,1,1,1,1,1,1,1,1,1,1,16,16,1,5,6,10,1,5,1,1,6,10,6,1,1,5,6,6,5,1,6,7,14,14,
1,3,3,14,14,41,42,45,40,43,1,41,1,42,6,47,46,6,6,6,48,45,1,50,5,5,49,6,7,7,6,
8,16,16,16,6,22,21,56,22,6,5,22,10,3,21,56,5,3,6,21,5,62,1,1,1,5,5,1,1,5,1,5,
5,5,1,5,5,1,5,5,5,14,41,41,45,41,41,45,41,45,1,41,42,41,42,47,42,46,10,5,6,45,
6,45,5,45,45,42,41,47,6,46,47,46,43,40,50,49,16,56,21,22,130,128,41,41,129,42,
5,45,5,6,43,43,40,40,40,43,43,131,40,132,47,6,46,135,48,48,48,48,138,141,137,
139,49,50,145,223,224,80,80,82,85,80,85,41,41,85,41,42,42,85,42,80,80,80,21,
60,41,45,22,42,45,42,82,45,164,56,41,82,82,91,90,1,5,5,5,40,40,5,40,40,129,
129,128,128,41,41,129,130,41,130,45,128,130,45,41,128,45,41,130,41,129,47,129,
46,134,134,133,132,42,133,132,132,140,137,138,136,141,139,131,223,159,158,159,
42,41,85,80,158,158,85,158,80,159,159,82,164,259,42,41,263,128,260,130,264,43,
131,129,262,40,48,135,265,129,191,190,190,80,195,195,129,195,130,190,130,82,
129,130,191,128,128,128,80,191,207,210,208,5,40,40,159,158,268,129,259,41,259,
268,128,129,128,262,263,260,381,382,383,384,259,195,191,190,364,130,128,259,
263,260,264,259,369,326,259,259,326,326,259,326,190,259,191,369,268,374,381,
381,381,383,382,128,385,385,259,364,364,364,364,364,268,364,364,365,259,326,
326,373,373,373,373,369,381,259,364,416,385,385,385,389,369,364,389,364,364,
370,389,389,425,373,416,364,364,416,416,364,416,385,425,389,465,416,416,416,
439,439,389,439,465,439,475,475,475,475,475],
[( 1, 2, 4, 7)( 3, 5, 8,11)( 6, 9)(10,14,15,19)(13,17,22,20)(16,21,28,23)
(18,24,29,27),( 1, 3, 6)( 4, 8,12,16,19,26)( 5, 7,10)( 9,13,18,25,28,14)
(11,15,20,27,24,21)(17,23)(22,29,30)],
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1,-1,2,-1,1,-2]],[[1,1,2,1,1,1]],[[2,-3]]],[[[1,-2],[3,1,2,-1,1,1,2,1,3,1]],[[
1,1,2,1,1,-1]],[[2,1,1,1,2,1,1,1]]],[[[1,1,2,2,1,-1]],[[2,1,1,1,2,-1,1,
1]]],[[[2,1,1,-1,2,-1,1,1]],[[1,1,2,-1,1,-1]],[[2,-3]]],[[[1,-2],[3,1,2,-1,1,
-1,2,1,3,1]],[[2,1,1,1,2,-1,1,1,2,2]],[[2,-3]]],[[[2,2,1,1,2,1]],[[1,1,2,-1,1,
-1]],[[2,-3]]],[[[2,2,1,1,2,-2]],[[2,1,1,-1,2,2,1,1]],[[1,1,2,2,1,-1]]],[[[2,
2,1,-1,2,-2]],[[2,1,1,1,2,1,1,1]]],[[[2,1,1,1,2,-2,1,1]],[[2,2,1,1,2,1]]],[[[
2,2,1,1,2,1]],[[2,1,1,-1,2,-1,1,1]]],[[[1,-1,2,1,1,-1,2,-1]],[[1,1,2,1,1,
-1]],[[2,-3]]],[[[2,1,1,1,2,1,1,1]],[[2,2,1,1,2,1]],[[2,-3]]],[[[2,1,1,-1,2,1,
1,-1]],[[2,-2]]],[[[1,1,2,1,1,-1]],[[2,-1]]],[[[1,1,2,-1]],[[2,2]]],[[[2,
2]],[[1,1]]],[[[1,1]],[[2,1]]]]);
LIBTOM( "3^4:M10",
[[1],[1,2],[1,3],[1,4],[1,5],[1,6],[1,7],[1,2,8],[1,2,9],[1,2,10],[1,11],[1,2,
4,12],[1,2,5,13],[1,2,6,14],[1,2,7,15],[1,2,3,16],[1,2,4,17],[1,2,9,10,18],[1,
2,10,19],[1,2,8,10,20],[1,3,4,21],[1,3,4,22],[1,4,23],[1,3,7,24],[1,3,6,25],[
1,3,5,26],[1,7,27],[1,6,28],[1,5,29],[1,5,6,30],[1,5,7,31],[1,6,7,32],[1,4,5,
6,7,33],[1,3,34],[1,2,11,35],[1,2,4,8,17,36],[1,2,7,8,37],[1,2,6,8,38],[1,2,5,
8,39],[1,2,4,8,12,17,40],[1,2,3,9,16,41],[1,2,3,10,16,42],[1,2,4,10,17,43],[1,
2,3,9,16,44],[1,2,8,9,10,18,19,20,45],[1,2,4,12,23,46],[1,2,7,15,27,47],[1,2,
6,14,28,48],[1,2,5,13,29,49],[1,2,6,7,14,15,32,50],[1,2,5,7,13,15,31,51],[1,2,
5,6,13,14,30,52],[1,2,4,5,6,7,12,13,14,15,33,53],[1,2,3,4,16,17,22,54],[1,2,3,
4,12,17,22,55],[1,2,4,12,17,23,56],[1,2,3,4,12,16,21,57],[1,2,3,5,13,16,26,
58],[1,2,3,7,15,16,24,59],[1,2,3,6,14,16,25,60],[1,2,9,11,35,61],[1,2,4,8,10,
12,17,20,36,40,43,62],[1,2,5,8,10,13,20,39,63],[1,2,6,8,10,14,20,38,64],[1,2,
7,8,10,15,20,37,65],[1,2,3,9,10,16,18,41,42,44,66],[1,3,4,21,23,67],[1,3,5,26,
29,68],[1,3,7,24,27,69],[1,3,6,25,28,70],[1,3,4,21,22,23,71],[1,3,5,6,25,26,
30,72],[1,3,5,7,24,26,31,73],[1,3,6,7,24,25,32,74],[1,3,4,5,6,7,21,24,25,26,
33,75],[1,3,4,7,21,24,76],[1,3,4,6,21,25,77],[1,3,4,5,21,26,78],[1,3,6,7,24,
25,79],[1,3,5,7,24,26,80],[1,3,5,6,25,26,81],[1,3,4,5,6,7,21,24,25,26,82],[1,
3,4,5,6,7,21,24,25,26,83],[1,3,5,6,7,24,25,26,84],[1,3,5,6,7,24,25,26,85],[1,
3,5,6,7,24,25,26,86],[1,3,4,21,34,87],[1,3,4,21,34,88],[1,3,4,21,34,89],[1,3,
4,21,34,90],[1,2,4,9,12,23,46,91],[1,2,5,9,13,29,49,92],[1,2,6,9,14,28,48,
93],[1,2,7,9,15,27,47,94],[1,2,5,9,13,29,49,95],[1,2,6,9,14,28,48,96],[1,2,7,
9,15,27,47,97],[1,2,4,10,12,23,46,98],[1,2,6,10,14,28,48,99],[1,2,7,10,15,27,
47,100],[1,2,5,10,13,29,49,101],[1,2,5,7,10,13,15,31,51,102],[1,2,5,6,10,13,
14,30,52,103],[1,2,6,7,10,14,15,32,50,104],[1,2,4,8,12,17,23,40,46,56,105],[1,
2,3,4,10,16,17,22,42,43,54,106],[1,2,3,4,8,12,16,17,22,36,40,54,55,107],[1,2,
4,5,6,7,8,17,33,36,37,38,39,108],[1,2,3,4,9,16,17,22,41,44,54,109],[1,2,3,4,
12,16,21,23,46,57,67,110],[1,2,3,4,12,17,21,22,23,46,55,56,71,111],[1,2,3,5,
13,16,26,29,49,58,68,112],[1,2,3,6,14,16,25,28,48,60,70,113],[1,2,3,7,15,16,
24,27,47,59,69,114],[1,2,3,5,6,13,14,16,25,26,30,52,58,60,72,115],[1,2,3,5,7,
13,15,16,24,26,31,51,58,59,73,116],[1,2,3,6,7,14,15,16,24,25,32,50,59,60,74,
117],[1,2,3,4,5,6,7,12,13,14,15,16,21,24,25,26,33,53,57,58,59,60,75,118],[1,2,
3,4,7,12,15,16,21,24,57,59,76,119],[1,2,3,4,6,12,14,16,21,25,57,60,77,120],[1,
2,3,4,5,12,13,16,21,26,57,58,78,121],[1,2,3,5,6,13,14,16,25,26,58,60,81,122],[
1,2,3,5,7,13,15,16,24,26,58,59,80,123],[1,2,3,6,7,14,15,16,24,25,59,60,79,
124],[1,2,3,4,5,6,7,12,13,14,15,16,21,24,25,26,57,58,59,60,83,125],[1,2,3,4,5,
6,7,12,13,14,15,16,21,24,25,26,57,58,59,60,82,126],[1,2,3,5,6,7,13,14,15,16,
24,25,26,58,59,60,84,127],[1,2,3,5,6,7,13,14,15,16,24,25,26,58,59,60,85,128],[
1,2,3,5,6,7,13,14,15,16,24,25,26,58,59,60,86,129],[1,2,3,4,12,16,17,21,22,23,
54,55,56,57,71,130],[1,2,5,8,11,13,35,39,131],[1,2,7,8,11,15,35,37,132],[1,2,
6,8,11,14,35,38,133],[1,2,4,10,12,19,23,46,98,134],[1,2,3,4,9,10,16,17,18,22,
41,42,43,44,54,66,106,109,135],[1,2,3,4,10,16,17,19,22,42,43,54,106,136],[1,2,
4,9,10,12,18,23,46,91,98,137],[1,2,5,9,10,13,18,29,49,92,95,101,138],[1,2,6,9,
10,14,18,28,48,93,96,99,139],[1,2,7,9,10,15,18,27,47,94,97,100,140],[1,2,3,4,
8,10,12,16,17,20,22,36,40,42,43,54,55,62,106,107,141],[1,2,4,8,10,12,17,20,23,
40,46,56,98,105,142],[1,2,4,5,6,7,8,10,12,13,14,15,17,20,33,36,37,38,39,40,43,
53,62,63,64,65,108,143],[1,3,4,21,22,23,67,71,144],[1,3,4,5,6,7,21,23,24,25,
26,33,67,75,76,77,78,82,83,145],[1,3,4,5,6,7,21,24,25,26,28,30,32,33,70,72,74,
75,77,79,81,82,83,84,85,86,146],[1,3,4,5,6,7,21,24,25,26,27,31,32,33,69,73,74,
75,76,79,80,82,83,84,85,86,147],[1,3,4,5,6,7,21,24,25,26,29,30,31,33,68,72,73,
75,78,80,81,82,83,84,85,86,148],[1,3,4,21,23,34,67,87,88,89,90,149],[1,3,4,5,
21,22,23,26,34,71,78,90,150],[1,3,4,6,21,22,23,25,34,71,77,90,151],[1,3,4,7,
21,22,23,24,34,71,76,90,152],[1,3,4,5,21,26,34,78,87,88,89,153],[1,3,4,6,21,
25,34,77,87,88,89,154],[1,3,4,7,21,24,34,76,87,88,89,155],[1,2,3,4,8,12,17,21,
22,23,40,46,55,56,71,105,111,156],[1,2,3,4,9,12,16,21,23,41,46,57,67,91,110,
157],[1,2,3,6,9,14,16,25,28,41,48,60,70,96,113,158],[1,2,3,7,9,15,16,24,27,41,
47,59,69,97,114,159],[1,2,3,5,9,13,16,26,29,41,49,58,68,95,112,160],[1,2,3,4,
10,12,17,21,22,23,43,46,55,56,71,98,111,161],[1,2,3,4,10,12,16,21,23,42,46,57,
67,98,110,162],[1,2,3,5,10,13,16,26,29,42,49,58,68,101,112,163],[1,2,3,7,10,
15,16,24,27,42,47,59,69,100,114,164],[1,2,3,6,10,14,16,25,28,42,48,60,70,99,
113,165],[1,2,3,5,6,10,13,14,16,25,26,30,42,52,58,60,72,103,115,166],[1,2,3,5,
7,10,13,15,16,24,26,31,42,51,58,59,73,102,116,167],[1,2,3,6,7,10,14,15,16,24,
25,32,42,50,59,60,74,104,117,168],[1,2,3,4,8,12,16,17,21,22,23,36,40,46,54,55,
56,57,71,105,107,111,130,169],[1,2,3,4,9,12,16,21,23,44,46,57,67,91,110,170],[
1,2,3,5,9,13,16,26,29,44,49,58,68,92,112,171],[1,2,3,7,9,15,16,24,27,44,47,59,
69,94,114,172],[1,2,3,6,9,14,16,25,28,44,48,60,70,93,113,173],[1,2,3,6,7,9,14,
15,16,24,25,44,59,60,79,124,174],[1,2,3,5,6,9,13,14,16,25,26,44,58,60,81,122,
175],[1,2,3,5,7,9,13,15,16,24,26,44,58,59,80,123,176],[1,2,3,4,8,9,10,12,16,
17,18,19,20,22,36,40,41,42,43,44,45,54,55,62,66,106,107,109,135,136,141,177],[
1,2,4,8,9,10,12,17,18,19,20,23,40,45,46,56,91,98,105,134,137,142,178],[1,2,3,
4,12,16,17,21,22,23,46,54,55,56,57,67,71,110,111,130,144,179],[1,2,3,4,5,6,7,
12,13,14,15,16,21,23,24,25,26,33,46,53,57,58,59,60,67,75,76,77,78,82,83,110,
118,119,120,121,125,126,145,180],[1,2,3,4,5,6,7,12,13,14,15,16,21,24,25,26,29,
30,31,33,49,51,52,53,57,58,59,60,68,72,73,75,78,80,81,82,83,84,85,86,112,115,
116,118,121,122,123,125,126,127,128,129,148,181],[1,2,3,4,5,6,7,12,13,14,15,
16,21,24,25,26,28,30,32,33,48,50,52,53,57,58,59,60,70,72,74,75,77,79,81,82,83,
84,85,86,113,115,117,118,120,122,124,125,126,127,128,129,146,182],[1,2,3,4,5,
6,7,12,13,14,15,16,21,24,25,26,27,31,32,33,47,50,51,53,57,58,59,60,69,73,74,
75,76,79,80,82,83,84,85,86,114,116,117,118,119,123,124,125,126,127,128,129,
147,183],[1,2,3,4,6,12,14,16,17,21,22,23,25,34,54,55,56,57,60,71,77,90,120,
130,151,184],[1,2,3,4,7,12,15,16,17,21,22,23,24,34,54,55,56,57,59,71,76,90,
119,130,152,185],[1,2,3,4,5,12,13,16,17,21,22,23,26,34,54,55,56,57,58,71,78,
90,121,130,150,186],[1,2,3,4,8,10,12,16,17,20,21,22,23,36,40,43,46,54,55,56,
57,62,71,98,105,107,111,130,142,156,161,169,187],[1,2,3,7,9,10,15,16,18,24,27,
41,42,44,47,59,66,69,94,97,100,114,140,159,164,172,188],[1,2,3,6,9,10,14,16,
18,25,28,41,42,44,48,60,66,70,93,96,99,113,139,158,165,173,189],[1,2,3,5,9,10,
13,16,18,26,29,41,42,44,49,58,66,68,92,95,101,112,138,160,163,171,190],[1,2,3,
4,9,10,12,16,18,21,23,41,42,44,46,57,66,67,91,98,110,137,157,162,170,191],[1,
3,4,5,6,7,21,23,24,25,26,27,28,29,30,31,32,33,67,68,69,70,72,73,74,75,76,77,
78,79,80,81,82,83,84,85,86,145,146,147,148,192],[1,3,4,5,6,7,21,22,23,24,25,
26,33,34,67,71,75,76,77,78,82,83,87,88,89,90,144,145,149,150,151,152,193],[1,
3,4,5,6,7,21,23,24,25,26,33,34,67,75,76,77,78,82,83,87,88,89,90,145,149,153,
154,155,194],[1,2,3,4,6,8,12,17,21,22,23,25,34,38,40,46,55,56,71,77,90,105,
111,151,156,195],[1,2,3,4,7,8,12,17,21,22,23,24,34,37,40,46,55,56,71,76,90,
105,111,152,156,196],[1,2,3,4,5,8,12,17,21,22,23,26,34,39,40,46,55,56,71,78,
90,105,111,150,156,197],[1,2,3,4,8,12,16,17,21,22,23,36,40,46,54,55,56,57,67,
71,105,107,110,111,130,144,156,169,179,198],[1,2,3,4,10,12,16,17,21,22,23,42,
43,46,54,55,56,57,67,71,98,106,110,111,130,144,161,162,179,199],[1,2,3,4,9,12,
16,17,21,22,23,41,44,46,54,55,56,57,67,71,91,109,110,111,130,144,157,170,179,
200],[1,2,7,8,10,11,15,20,27,35,37,47,65,100,132,201],[1,2,6,8,10,11,14,20,28,
35,38,48,64,99,133,202],[1,2,5,8,10,11,13,20,29,35,39,49,63,101,131,203],[1,2,
6,7,8,10,11,14,15,20,32,35,37,38,50,64,65,104,132,133,204],[1,2,5,6,8,10,11,
13,14,20,30,35,38,39,52,63,64,103,131,133,205],[1,2,5,7,8,10,11,13,15,20,31,
35,37,39,51,63,65,102,131,132,206],[1,3,4,11,21,22,23,67,71,144,207],[1,2,3,4,
5,6,7,12,13,14,15,16,21,23,24,25,26,27,28,29,30,31,32,33,46,47,48,49,50,51,52,
53,57,58,59,60,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,110,
112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,145,
146,147,148,180,181,182,183,192,208],[1,2,3,4,5,6,7,12,13,14,15,16,17,21,22,
23,24,25,26,33,34,46,53,54,55,56,57,58,59,60,67,71,75,76,77,78,82,83,87,88,89,
90,110,111,118,119,120,121,125,126,130,144,145,149,150,151,152,179,180,184,
185,186,193,209],[1,2,3,4,9,10,12,16,17,18,21,22,23,41,42,43,44,46,54,55,56,
57,66,67,71,91,98,106,109,110,111,130,135,137,144,157,161,162,170,179,191,199,
200,210],[1,2,3,4,10,12,16,17,19,21,22,23,42,43,46,54,55,56,57,67,71,98,106,
110,111,130,134,136,144,161,162,179,199,211],[1,2,3,4,8,10,12,16,17,20,21,22,
23,36,40,42,43,46,54,55,56,57,62,67,71,98,105,106,107,110,111,130,141,142,144,
156,161,162,169,179,187,198,199,212],[1,2,3,4,6,8,10,12,14,16,17,20,21,22,23,
25,34,36,38,40,43,46,54,55,56,57,60,62,64,71,77,90,98,105,107,111,120,130,142,
151,156,161,169,184,187,195,213],[1,2,3,4,7,8,10,12,15,16,17,20,21,22,23,24,
34,36,37,40,43,46,54,55,56,57,59,62,65,71,76,90,98,105,107,111,119,130,142,
152,156,161,169,185,187,196,214],[1,2,3,4,5,8,10,12,13,16,17,20,21,22,23,26,
34,36,39,40,43,46,54,55,56,57,58,62,63,71,78,90,98,105,107,111,121,130,142,
150,156,161,169,186,187,197,215],[1,2,7,8,9,10,11,15,18,19,20,27,35,37,45,47,
61,65,94,97,100,132,140,201,216],[1,2,6,8,9,10,11,14,18,19,20,28,35,38,45,48,
61,64,93,96,99,133,139,202,217],[1,2,5,8,9,10,11,13,18,19,20,29,35,39,45,49,
61,63,92,95,101,131,138,203,218],[1,3,4,5,6,7,21,22,23,24,25,26,27,28,29,30,
31,32,33,34,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,
89,90,144,145,146,147,148,149,150,151,152,153,154,155,192,193,194,219],[1,2,3,
4,11,12,16,17,21,22,23,35,46,54,55,56,57,67,71,110,111,130,144,179,207,220],[
1,2,3,4,5,6,7,9,12,13,14,15,16,21,23,24,25,26,27,28,29,30,31,32,33,41,46,47,
48,49,50,51,52,53,57,58,59,60,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,
84,85,86,91,95,96,97,110,112,113,114,115,116,117,118,119,120,121,122,123,124,
125,126,127,128,129,145,146,147,148,157,158,159,160,180,181,182,183,192,208,
221],[1,2,3,4,5,6,7,10,12,13,14,15,16,21,23,24,25,26,27,28,29,30,31,32,33,42,
46,47,48,49,50,51,52,53,57,58,59,60,67,68,69,70,72,73,74,75,76,77,78,79,80,81,
82,83,84,85,86,98,99,100,101,102,103,104,110,112,113,114,115,116,117,118,119,
120,121,122,123,124,125,126,127,128,129,145,146,147,148,162,163,164,165,166,
167,168,180,181,182,183,192,208,222],[1,2,3,4,5,6,7,8,12,16,17,21,22,23,24,25,
26,33,34,36,37,38,39,40,46,54,55,56,57,67,71,75,76,77,78,82,83,87,88,89,90,
105,107,108,110,111,130,144,145,149,150,151,152,156,169,179,193,195,196,197,
198,223],[1,2,3,4,5,6,7,9,12,13,14,15,16,21,23,24,25,26,27,28,29,30,31,32,33,
44,46,47,48,49,50,51,52,53,57,58,59,60,67,68,69,70,72,73,74,75,76,77,78,79,80,
81,82,83,84,85,86,91,92,93,94,110,112,113,114,115,116,117,118,119,120,121,122,
123,124,125,126,127,128,129,145,146,147,148,170,171,172,173,174,175,176,180,
181,182,183,192,208,224],[1,2,3,4,8,9,10,12,16,17,18,19,20,21,22,23,36,40,41,
42,43,44,45,46,54,55,56,57,62,66,67,71,91,98,105,106,107,109,110,111,130,134,
135,136,137,141,142,144,156,157,161,162,169,170,177,178,179,187,191,198,199,
200,210,211,212,225],[1,2,3,4,5,6,7,12,13,14,15,16,17,21,22,23,24,25,26,27,28,
29,30,31,32,33,34,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,67,68,69,70,71,
72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,110,111,112,113,114,
115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,144,145,146,
147,148,149,150,151,152,153,154,155,179,180,181,182,183,184,185,186,192,193,
194,208,209,219,226],[1,2,3,4,9,11,12,16,17,21,22,23,35,41,44,46,54,55,56,57,
61,67,71,91,109,110,111,130,144,157,170,179,200,207,220,227],[1,2,3,4,5,6,7,9,
10,12,13,14,15,16,18,21,23,24,25,26,27,28,29,30,31,32,33,41,42,44,46,47,48,49,
50,51,52,53,57,58,59,60,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,
85,86,91,92,93,94,95,96,97,98,99,100,101,102,103,104,110,112,113,114,115,116,
117,118,119,120,121,122,123,124,125,126,127,128,129,137,138,139,140,145,146,
147,148,157,158,159,160,162,163,164,165,166,167,168,170,171,172,173,174,175,
176,180,181,182,183,188,189,190,191,192,208,221,222,224,228],[1,2,3,4,5,6,7,8,
10,12,13,14,15,16,17,20,21,22,23,24,25,26,33,34,36,37,38,39,40,42,43,46,53,54,
55,56,57,58,59,60,62,63,64,65,67,71,75,76,77,78,82,83,87,88,89,90,98,105,106,
107,108,110,111,118,119,120,121,125,126,130,141,142,143,144,145,149,150,151,
152,156,161,162,169,179,180,184,185,186,187,193,195,196,197,198,199,209,212,
213,214,215,223,229],[1,2,3,4,5,6,7,9,12,13,14,15,16,17,21,22,23,24,25,26,27,
28,29,30,31,32,33,34,41,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,67,68,
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,
109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,
128,129,130,144,145,146,147,148,149,150,151,152,153,154,155,157,170,171,172,
173,174,175,176,179,180,181,182,183,184,185,186,192,193,194,200,208,209,219,
224,226,230],[1,2,3,4,5,6,7,9,12,13,14,15,16,17,21,22,23,24,25,26,27,28,29,30,
31,32,33,34,41,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,67,68,69,70,71,
72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,95,96,97,109,110,
111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,
130,144,145,146,147,148,149,150,151,152,153,154,155,157,158,159,160,170,179,
180,181,182,183,184,185,186,192,193,194,200,208,209,219,221,226,231],[1,2,3,4,
5,6,7,10,12,13,14,15,16,17,21,22,23,24,25,26,27,28,29,30,31,32,33,34,42,43,46,
47,48,49,50,51,52,53,54,55,56,57,58,59,60,67,68,69,70,71,72,73,74,75,76,77,78,
79,80,81,82,83,84,85,86,87,88,89,90,98,99,100,101,102,103,104,106,110,111,112,
113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,144,
145,146,147,148,149,150,151,152,153,154,155,161,162,163,164,165,166,167,168,
179,180,181,182,183,184,185,186,192,193,194,199,208,209,219,222,226,232],[1,2,
3,4,5,6,7,8,11,12,13,14,15,16,17,21,22,23,24,25,26,33,34,35,36,37,38,39,40,46,
53,54,55,56,57,58,59,60,67,71,75,76,77,78,82,83,87,88,89,90,105,107,108,110,
111,118,119,120,121,125,126,130,131,132,133,144,145,149,150,151,152,156,169,
179,180,184,185,186,193,195,196,197,198,207,209,220,223,233],[1,2,3,4,5,6,7,9,
10,12,13,14,15,16,17,18,21,22,23,24,25,26,27,28,29,30,31,32,33,34,41,42,43,44,
46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,66,67,68,69,70,71,72,73,74,75,76,
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,
102,103,104,106,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,
124,125,126,127,128,129,130,135,137,138,139,140,144,145,146,147,148,149,150,
151,152,153,154,155,157,158,159,160,161,162,163,164,165,166,167,168,170,171,
172,173,174,175,176,179,180,181,182,183,184,185,186,188,189,190,191,192,193,
194,199,200,208,209,210,219,221,222,224,226,228,230,231,232,234],[1,2,3,4,5,6,
7,8,10,11,12,13,14,15,16,17,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,
36,37,38,39,40,42,43,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,
67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,98,99,
100,101,102,103,104,105,106,107,108,110,111,112,113,114,115,116,117,118,119,
120,121,122,123,124,125,126,127,128,129,130,131,132,133,141,142,143,144,145,
146,147,148,149,150,151,152,153,154,155,156,161,162,163,164,165,166,167,168,
169,179,180,181,182,183,184,185,186,187,192,193,194,195,196,197,198,199,201,
202,203,204,205,206,207,208,209,212,213,214,215,219,220,222,223,226,229,232,
233,235],[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]],
0,[[1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,3,1],[1,1,1],[1,1,1],[1,1],[1,3,
1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,1,1,1],[1,1,1,1],[1,1,2,1,1],[1,1,1,1],[
1,5,2,1,1],[1,1,3,1],[1,2,2,1],[1,4,1],[1,1,3,1],[1,1,3,1],[1,1,3,1],[1,4,1],[
1,4,1],[1,4,1],[1,2,2,1],[1,2,2,1],[1,2,2,1],[1,1,1,1,1,1],[1,1,1],[1,5,1,1],[
1,3,1,1,3,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,7,1,3,2,1,1],[1,1,1,3,1,
1],[1,1,1,3,1,1],[1,1,1,3,1,1],[1,1,1,1,1,1],[1,5,2,2,1,1,1,1,1],[1,9,4,12,1,
1],[1,9,4,12,1,1],[1,9,4,12,1,1],[1,9,4,12,1,1],[1,9,2,2,6,6,1,1],[1,9,2,2,6,
6,1,1],[1,9,2,2,6,6,1,1],[1,9,1,1,1,1,3,3,3,3,1,1],[1,1,2,2,2,2,1,1],[1,3,2,2,
1,3,1,1],[1,3,4,1,3,1,1],[1,3,1,3,1,3,1,1],[1,3,1,3,1,3,1,1],[1,3,1,3,1,3,1,
1],[1,3,1,3,1,3,1,1],[1,5,5,1,1,1],[1,9,1,4,3,2,3,3,1,1,1,1],[1,9,4,4,3,4,3,1,
1],[1,9,4,4,3,4,3,1,1],[1,9,4,4,3,4,3,1,1],[1,1,1,4,3,1,3,1,1,1,1],[1,1,12,4,
9,1],[1,1,12,4,9,1],[1,1,12,4,9,1],[1,1,12,4,9,1],[1,4,9,4,6,3,1],[1,1,6,6,2,
2,9,1],[1,1,6,6,2,2,9,1],[1,1,6,6,2,2,9,1],[1,1,3,3,3,3,1,1,1,1,9,1],[1,1,3,9,
1,3,1],[1,1,3,9,1,3,1],[1,1,3,9,1,3,1],[1,1,6,6,2,2,1],[1,1,6,6,2,2,1],[1,1,6,
6,2,2,1],[1,1,3,3,3,3,1,1,1,1,1],[1,1,3,3,3,3,1,1,1,1,1],[1,1,6,3,3,1,1,2,1],[
1,1,3,3,6,2,1,1,1],[1,1,3,6,3,1,2,1,1],[1,1,3,1,3,1],[1,1,3,1,3,1],[1,1,3,1,3,
1],[1,1,3,1,3,1],[1,9,4,9,12,1,1,1],[1,9,4,9,12,1,1,1],[1,9,4,9,12,1,1,1],[1,
9,4,9,12,1,1,1],[1,9,4,9,12,1,1,1],[1,9,4,9,12,1,1,1],[1,9,4,9,12,1,1,1],[1,9,
4,9,12,1,1,1],[1,9,4,9,12,1,1,1],[1,9,4,9,12,1,1,1],[1,9,4,9,12,1,1,1],[1,9,2,
2,9,6,6,1,1,1],[1,9,2,2,9,6,6,1,1,1],[1,9,2,2,9,6,6,1,1,1],[1,15,4,9,14,6,1,6,
1,2,1],[1,1,2,2,9,2,2,1,6,6,1,1],[1,7,2,2,3,2,2,8,1,3,1,1,2,1],[1,3,1,4,4,4,1,
3,4,1,1,1,1,1],[1,1,2,2,3,2,2,1,1,3,1,1],[1,9,1,12,12,9,4,9,1,12,1,1],[1,9,4,
9,12,9,4,6,3,1,6,6,1,1],[1,9,1,12,12,9,4,9,1,12,1,1],[1,9,1,12,12,9,4,9,1,12,
1,1],[1,9,1,12,12,9,4,9,1,12,1,1],[1,9,1,6,6,6,6,9,2,2,9,1,6,6,1,1],[1,9,1,6,
6,6,6,9,2,2,9,1,6,6,1,1],[1,9,1,6,6,6,6,9,2,2,9,1,6,6,1,1],[1,9,1,3,3,3,3,3,3,
3,3,9,1,1,1,1,9,1,3,3,3,3,1,1],[1,9,1,3,9,3,9,9,1,3,3,9,1,1],[1,9,1,3,9,3,9,9,
1,3,3,9,1,1],[1,9,1,3,9,3,9,9,1,3,3,9,1,1],[1,9,1,6,6,6,6,9,2,2,6,6,1,1],[1,9,
1,6,6,6,6,9,2,2,6,6,1,1],[1,9,1,6,6,6,6,9,2,2,6,6,1,1],[1,9,1,3,3,3,3,3,3,3,3,
9,1,1,1,1,3,3,3,3,1,1],[1,9,1,3,3,3,3,3,3,3,3,9,1,1,1,1,3,3,3,3,1,1],[1,9,1,6,
3,3,6,3,3,9,1,1,2,6,3,3,1,1],[1,9,1,3,3,6,3,3,6,9,2,1,1,3,6,3,1,1],[1,9,1,3,6,
3,3,6,3,9,1,2,1,3,3,6,1,1],[1,3,4,9,1,6,6,4,6,3,3,1,1,2,1,1],[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],[1,9,4,9,12,9,1,1,1,1],[
1,1,2,2,6,9,2,2,9,1,2,6,6,6,1,6,1,2,1],[1,1,2,2,9,2,2,9,1,6,6,1,1,1],[1,9,4,
18,9,12,9,1,1,2,1,1],[1,9,4,18,9,12,9,1,1,1,1,1,1],[1,9,4,18,9,12,9,1,1,1,1,1,
1],[1,9,4,18,9,12,9,1,1,1,1,1,1],[1,13,2,2,6,9,4,2,14,9,1,6,2,6,6,1,4,6,1,2,
1],[1,21,4,18,9,16,12,9,1,12,1,4,1,2,1],[1,21,1,4,4,4,10,9,6,12,12,12,3,9,4,1,
1,1,1,3,3,4,3,3,3,3,1,1],[1,10,30,40,45,45,10,30,1],[1,1,12,9,9,9,4,9,3,3,3,
27,1,3,1,1,1,3,3,1],[1,1,3,9,18,9,1,3,6,3,9,9,9,9,1,1,1,1,1,1,1,1,1,1,1,2,1],[
1,1,3,9,9,18,1,6,3,3,9,9,9,9,1,1,1,1,1,1,1,1,1,1,2,1,1],[1,1,3,18,9,9,1,3,3,6,
9,9,9,9,1,1,1,1,1,1,1,1,1,2,1,1,1],[1,1,12,4,9,9,1,3,3,3,3,1],[1,4,9,9,4,6,3,
3,6,1,1,2,1],[1,4,9,9,4,6,3,3,6,1,1,2,1],[1,4,9,9,4,6,3,3,6,1,1,2,1],[1,1,3,9,
1,3,9,1,1,1,1,1],[1,1,3,9,1,3,9,1,1,1,1,1],[1,1,3,9,1,3,9,1,1,1,1,1],[1,27,4,
9,27,36,27,4,6,3,27,3,18,18,1,9,3,1],[1,9,1,12,27,12,9,4,9,9,1,12,1,3,1,1],[1,
9,1,12,27,12,9,4,9,9,1,12,1,3,1,1],[1,9,1,12,27,12,9,4,9,9,1,12,1,3,1,1],[1,9,
1,12,27,12,9,4,9,9,1,12,1,3,1,1],[1,9,4,9,27,12,9,4,6,3,9,1,6,6,1,3,1,1],[1,9,
1,12,27,12,9,4,9,9,1,12,1,3,1,1],[1,9,1,12,27,12,9,4,9,9,1,12,1,3,1,1],[1,9,1,
12,27,12,9,4,9,9,1,12,1,3,1,1],[1,9,1,12,27,12,9,4,9,9,1,12,1,3,1,1],[1,9,1,6,
6,27,6,6,9,2,2,9,9,1,6,6,1,3,1,1],[1,9,1,6,6,27,6,6,9,2,2,9,9,1,6,6,1,3,1,1],[
1,9,1,6,6,27,6,6,9,2,2,9,9,1,6,6,1,3,1,1],[1,15,4,9,9,14,12,21,4,6,3,9,6,1,6,
8,8,4,1,1,6,1,2,1],[1,9,1,12,9,12,9,4,9,9,1,12,1,1,1,1],[1,9,1,12,9,12,9,4,9,
9,1,12,1,1,1,1],[1,9,1,12,9,12,9,4,9,9,1,12,1,1,1,1],[1,9,1,12,9,12,9,4,9,9,1,
12,1,1,1,1],[1,9,1,6,6,9,6,6,9,2,2,9,6,6,1,1,1],[1,9,1,6,6,9,6,6,9,2,2,9,6,6,
1,1,1],[1,9,1,6,6,9,6,6,9,2,2,9,6,6,1,1,1],[1,13,2,2,6,6,9,4,2,14,9,9,9,1,6,2,
2,6,6,6,9,1,4,6,6,1,2,2,1,1,1,1],[1,21,4,18,18,9,16,12,9,9,9,1,12,9,1,4,2,1,2,
1,1,1,1],[1,9,10,30,12,18,18,40,45,45,1,9,12,12,24,10,30,2,2,12,1,1],[1,27,1,
12,9,9,9,36,27,27,27,27,4,9,3,3,3,27,3,9,36,27,27,27,1,3,1,1,1,3,3,3,9,3,3,3,
9,9,1,1],[1,27,1,3,18,9,9,9,54,27,27,27,1,3,3,6,9,9,9,9,3,3,3,3,9,54,27,27,1,
1,1,1,1,1,1,1,1,2,1,1,3,3,3,3,3,3,3,3,3,6,3,3,1,1],[1,27,1,3,9,18,9,9,27,54,
27,27,1,3,6,3,9,9,9,9,3,3,3,3,9,27,27,54,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,
3,3,3,3,3,6,1,1],[1,27,1,3,9,9,18,9,27,27,54,27,1,6,3,3,9,9,9,9,3,3,3,3,9,27,
54,27,1,1,1,1,1,1,1,1,1,1,2,1,3,3,3,3,3,3,3,3,3,3,6,3,1,1],[1,9,4,9,9,3,9,18,
18,4,6,3,3,6,9,3,3,6,9,1,1,2,1,3,1,1],[1,9,4,9,9,3,9,18,18,4,6,3,3,6,9,3,3,6,
9,1,1,2,1,3,1,1],[1,9,4,9,9,3,9,18,18,4,6,3,3,6,9,3,3,6,9,1,1,2,1,3,1,1],[1,
33,4,9,36,27,38,12,39,27,4,6,3,9,33,9,3,6,20,20,4,9,1,3,10,6,3,2,3,1,1,1,1],[
1,9,1,12,36,27,12,9,27,4,9,9,9,9,1,12,9,1,1,3,3,1,3,1,1,1,1],[1,9,1,12,36,27,
12,9,27,4,9,9,9,9,1,12,9,1,1,3,3,1,3,1,1,1,1],[1,9,1,12,36,27,12,9,27,4,9,9,9,
9,1,12,9,1,1,3,3,1,3,1,1,1,1],[1,9,1,12,36,27,12,9,27,4,9,9,9,9,1,12,9,1,4,3,
1,3,1,1,1,1],[1,1,12,36,36,36,4,9,12,12,12,27,27,27,54,54,54,108,1,3,3,3,6,6,
6,12,4,4,4,6,6,6,12,12,12,12,12,4,12,12,12,1],[1,10,30,9,9,9,40,45,45,3,3,3,
27,18,10,30,3,1,1,1,3,3,6,6,6,6,1,1,2,3,3,3,1],[1,1,12,9,9,9,4,9,3,3,3,27,27,
1,3,1,1,1,3,3,9,9,9,9,1,3,3,3,3,1],[1,27,4,9,36,27,36,27,4,6,3,12,24,27,27,3,
18,18,1,4,8,9,3,4,1,1],[1,27,4,9,36,27,36,27,4,6,3,12,24,27,27,3,18,18,1,4,8,
9,3,4,1,1],[1,27,4,9,36,27,36,27,4,6,3,12,24,27,27,3,18,18,1,4,8,9,3,4,1,1],[
1,27,10,30,27,36,54,54,40,45,45,27,27,3,27,36,36,72,10,30,9,27,6,6,36,1,1,9,3,
1],[1,9,10,30,81,12,18,18,40,45,45,54,54,1,9,12,12,24,10,30,9,9,2,2,12,1,6,6,
1,1],[1,9,10,30,27,12,18,18,40,45,45,9,27,1,9,12,12,24,10,30,3,9,2,2,12,1,1,3,
1,1],[1,45,40,30,45,36,120,45,10,36,30,10,30,10,12,1],[1,45,40,30,45,36,120,
45,10,36,30,10,30,10,12,1],[1,45,40,30,45,36,120,45,10,36,30,10,30,10,12,1],[
1,45,20,20,30,45,36,60,60,45,10,36,15,15,10,15,15,10,6,6,1],[1,45,20,20,30,45,
36,60,60,45,10,36,15,15,10,15,15,10,6,6,1],[1,45,20,20,30,45,36,60,60,45,10,
36,15,15,10,15,15,10,6,6,1],[1,10,30,81,40,45,45,10,30,1,1],[1,81,1,12,36,36,
36,108,324,324,324,81,4,9,12,12,12,27,27,27,54,54,54,108,9,27,27,27,54,54,54,
108,108,324,324,324,1,3,3,3,6,6,6,12,4,4,4,6,6,6,12,12,12,12,12,9,27,27,27,54,
54,54,108,36,36,36,54,54,54,108,108,108,108,108,4,12,12,12,12,36,36,36,1,1],[
1,27,10,30,9,9,9,36,27,27,27,54,54,40,45,45,3,3,3,27,18,3,9,27,36,36,72,27,27,
27,10,30,3,1,1,1,3,3,6,6,6,6,6,6,9,3,3,3,9,9,36,1,1,2,3,3,3,3,1,3,3,3,1,1],[1,
9,10,30,54,81,12,18,18,81,40,45,45,18,54,54,54,1,9,12,12,24,54,10,30,6,9,9,18,
2,2,12,9,9,1,2,6,6,6,1,6,1,2,1],[1,9,10,30,81,12,18,18,81,40,45,45,54,54,1,9,
12,12,24,10,30,9,9,2,2,12,9,9,1,6,6,1,1,1],[1,45,10,30,54,81,60,90,90,81,40,
45,45,54,54,54,54,5,45,60,60,120,54,10,30,9,18,9,54,10,10,60,9,9,1,2,6,6,18,5,
6,2,1,1],[1,45,4,9,36,54,81,42,36,36,63,81,4,6,3,12,24,27,27,45,27,3,18,24,24,
12,36,27,27,1,4,8,9,12,18,3,4,6,9,4,1,3,3,4,3,1,1],[1,45,4,9,36,54,81,42,36,
36,63,81,4,6,3,12,24,27,27,45,27,3,18,24,24,12,36,27,27,1,4,8,9,12,18,3,4,6,9,
4,1,3,3,4,3,1,1],[1,45,4,9,36,54,81,42,36,36,63,81,4,6,3,12,24,27,27,45,27,3,
18,24,24,12,36,27,27,1,4,8,9,12,18,3,4,6,9,4,1,3,3,4,3,1,1],[1,45,40,30,90,45,
36,120,45,45,45,10,36,30,45,10,36,30,10,10,10,12,10,1,1],[1,45,40,30,90,45,36,
120,45,45,45,10,36,30,45,10,36,30,10,10,10,12,10,1,1],[1,45,40,30,90,45,36,
120,45,45,45,10,36,30,45,10,36,30,10,10,10,12,10,1,1],[1,10,30,36,36,36,40,45,
45,12,12,12,27,27,27,54,54,54,108,72,10,3,3,3,30,6,6,6,12,4,4,4,6,6,6,12,12,
12,12,12,24,24,24,24,1,4,12,12,12,8,12,12,12,24,24,24,1,4,8,1],[1,45,10,30,81,
60,90,90,40,45,45,81,5,45,60,60,120,10,30,10,10,60,1,5,1,1],[1,81,1,12,36,36,
36,243,108,324,324,324,81,4,9,12,12,12,27,27,27,54,54,54,108,81,9,27,27,27,54,
54,54,108,108,324,324,324,1,3,3,3,6,6,6,12,4,4,4,6,6,6,12,12,12,12,12,27,81,
81,81,9,27,27,27,54,54,54,108,36,36,36,54,54,54,108,108,108,108,108,4,12,12,
12,9,27,27,27,12,36,36,36,1,1,1],[1,81,1,12,36,36,36,243,108,324,324,324,81,4,
9,12,12,12,27,27,27,54,54,54,108,81,9,27,27,27,54,54,54,108,108,324,324,324,1,
3,3,3,6,6,6,12,4,4,4,6,6,6,12,12,12,12,12,27,27,27,27,54,54,54,9,27,27,27,54,
54,54,108,36,36,36,54,54,54,108,108,108,108,108,4,12,12,12,9,9,9,9,18,18,18,
12,36,36,36,1,1,1],[1,27,10,30,36,36,36,27,36,54,54,40,45,45,12,12,12,108,72,
27,27,27,27,27,3,27,36,36,72,10,30,12,4,4,4,12,12,24,24,24,24,9,27,27,6,6,36,
1,4,8,12,12,12,1,9,3,4,1,1,1,1,1],[1,81,1,12,36,36,36,81,108,324,324,324,81,4,
9,12,12,12,27,27,27,54,54,54,108,81,9,27,27,27,54,54,54,108,108,324,324,324,1,
3,3,3,6,6,6,12,4,4,4,6,6,6,12,12,12,12,12,9,9,9,9,9,27,27,27,54,54,54,108,36,
36,36,54,54,54,108,108,108,108,108,4,12,12,12,9,9,9,9,18,18,18,12,36,36,36,1,
1,1],[1,45,10,30,54,54,81,60,90,90,81,81,81,40,45,45,54,54,18,54,54,54,81,5,
45,60,60,120,54,54,10,30,6,9,18,9,54,18,10,10,60,9,9,9,9,9,9,1,2,2,6,6,18,6,9,
9,5,6,6,2,1,2,1,1,1,1],[1,81,10,30,36,36,36,108,324,324,324,162,162,40,45,45,
12,12,12,27,27,27,54,54,54,108,72,9,27,27,27,54,54,54,108,81,108,108,216,324,
324,324,10,3,3,3,30,6,6,6,12,4,4,4,6,6,6,12,12,12,12,12,24,24,24,24,18,18,27,
27,27,54,54,54,108,36,36,36,54,54,54,108,108,108,108,108,108,1,4,12,12,12,8,
12,12,12,24,24,24,9,12,36,36,36,36,36,36,1,4,8,1,12,1,1],[1,45,10,30,135,81,
60,90,90,40,45,45,81,45,135,5,45,60,60,120,81,10,30,15,45,10,10,60,1,5,15,5,5,
1,1,1],[1,81,1,12,36,36,36,324,243,108,324,324,324,81,243,4,9,12,12,12,27,27,
27,54,54,54,108,81,81,81,9,27,27,27,54,54,54,108,108,324,324,324,81,1,3,3,3,6,
6,6,12,4,4,4,6,6,6,12,12,12,12,12,36,9,9,9,81,81,81,27,27,27,27,54,54,54,9,27,
27,27,54,54,54,108,36,36,36,54,54,54,108,108,108,108,108,27,27,27,27,4,12,12,
12,9,27,27,27,9,9,9,9,18,18,18,9,9,9,9,18,18,18,12,36,36,36,9,9,9,9,1,1,1,1,1,
1],[1,81,10,30,36,36,36,108,243,108,108,108,108,162,162,243,40,45,45,12,12,12,
108,72,108,27,27,27,108,162,162,9,36,81,108,108,216,108,108,108,162,81,81,81,
10,30,12,4,4,4,12,12,24,24,24,24,27,36,27,108,27,18,18,36,12,12,12,36,36,108,
27,27,27,1,4,8,12,12,12,4,18,18,36,9,4,12,12,12,18,4,1,1,1,4,3,4,3,3,3,3,1,
1],[1,81,10,30,36,36,36,243,108,324,324,324,162,162,40,45,45,12,12,12,27,27,
27,54,54,54,108,72,81,243,9,27,27,27,54,54,54,108,81,108,108,216,324,324,324,
10,3,3,3,30,6,6,6,12,4,4,4,6,6,6,12,12,12,12,12,24,24,24,24,27,27,27,27,81,18,
18,27,27,27,54,54,54,108,36,36,36,54,54,54,108,108,108,108,108,108,1,4,12,12,
12,8,12,12,12,24,24,24,9,27,27,27,27,54,54,54,9,12,36,36,36,36,36,36,1,4,8,9,
1,12,1,3,1,1],[1,81,10,30,36,36,36,243,108,324,324,324,162,162,40,45,45,12,12,
12,27,27,27,54,54,54,108,72,81,243,9,27,27,27,54,54,54,108,81,108,108,216,324,
324,324,10,3,3,3,30,6,6,6,12,4,4,4,6,6,6,12,12,12,12,12,24,24,24,24,27,81,81,
81,81,18,18,27,27,27,54,54,54,108,36,36,36,54,54,54,108,108,108,108,108,108,1,
4,12,12,12,8,12,12,12,24,24,24,9,27,27,27,27,9,12,36,36,36,36,36,36,1,4,8,9,1,
12,1,1,1,1],[1,81,10,30,36,36,36,729,108,324,324,324,162,162,40,45,45,12,12,
12,27,27,27,54,54,54,108,72,486,486,9,27,27,27,54,54,54,108,81,108,108,216,
324,324,324,10,3,3,3,30,6,6,6,12,4,4,4,6,6,6,12,12,12,12,12,24,24,24,24,81,81,
81,81,162,162,162,81,18,18,27,27,27,54,54,54,108,36,36,36,54,54,54,108,108,
108,108,108,108,1,4,12,12,12,8,12,12,12,24,24,24,54,54,27,27,27,54,54,54,9,12,
36,36,36,36,36,36,1,4,8,9,1,12,1,3,1,1],[1,135,10,30,90,90,90,135,486,180,270,
270,270,270,270,40,45,45,30,30,30,270,180,486,135,135,135,135,135,15,90,135,
180,180,360,270,270,270,10,30,30,10,10,10,30,30,60,60,60,60,45,135,135,30,30,
90,30,30,30,90,90,180,81,81,81,1,10,20,30,30,30,5,45,15,10,30,30,30,10,5,5,5,
5,6,10,6,5,1],[1,81,10,30,36,36,36,486,729,108,324,324,324,162,162,729,40,45,
45,12,12,12,27,27,27,54,54,54,108,72,162,486,486,486,9,27,27,27,54,54,54,108,
81,108,108,216,324,324,324,486,10,3,3,3,30,6,6,6,12,4,4,4,6,6,6,12,12,12,12,
12,24,24,24,24,54,27,27,27,81,81,81,81,81,81,81,162,162,162,81,162,18,18,27,
27,27,54,54,54,108,36,36,36,54,54,54,108,108,108,108,108,108,81,81,81,81,81,1,
4,12,12,12,8,12,12,12,24,24,24,18,27,27,27,54,54,27,27,27,54,54,54,54,27,27,
27,54,54,54,9,12,36,36,36,36,36,36,27,27,27,54,1,4,8,9,18,1,12,9,1,1,3,3,1,3,
1,1,1,1],[1,405,10,30,360,360,360,810,3645,2916,540,3240,3240,3240,810,810,
3645,40,45,45,120,120,120,270,270,270,540,540,540,1080,720,2916,810,810,810,
810,810,2430,2430,45,270,270,270,540,540,540,1080,405,540,540,1080,3240,3240,
3240,2430,2430,2430,2430,10,30,30,30,30,60,60,60,120,40,40,40,60,60,60,120,
120,120,120,120,240,240,240,240,405,810,810,810,1620,1620,1620,270,405,810,
810,90,90,270,270,270,540,540,540,1080,360,360,360,540,540,540,1080,1080,1080,
1080,1080,540,972,972,972,405,405,810,1,40,120,120,120,80,120,120,120,240,240,
240,30,270,270,270,270,270,540,540,540,270,45,120,360,360,360,360,360,360,270,
10,40,80,30,30,30,30,45,81,81,81,162,162,162,36,10,120,45,90,90,90,10,36,30,
30,10,30,10,12,1],[1,405,10,30,360,360,360,810,2430,3645,2916,540,3240,3240,
3240,810,810,3645,3645,3645,40,45,45,120,120,120,270,270,270,540,540,540,1080,
720,2916,810,810,810,810,810,810,2430,2430,2430,3645,45,270,270,270,540,540,
540,1080,405,540,540,1080,3240,3240,3240,2916,2430,2430,2430,2430,2430,10,30,
30,30,30,60,60,60,120,40,40,40,60,60,60,120,120,120,120,120,240,240,240,240,
270,270,270,270,810,810,810,405,810,810,810,1620,1620,1620,270,405,810,810,
810,90,90,270,270,270,540,540,540,1080,360,360,360,540,540,540,1080,1080,1080,
1080,1080,540,972,972,972,405,405,405,405,810,810,810,405,405,810,1,40,120,
120,120,80,120,120,120,240,240,240,30,90,270,270,270,270,270,270,270,270,540,
540,540,270,270,270,270,270,540,540,540,405,405,45,120,360,360,360,360,360,
360,270,270,270,270,270,10,40,80,30,30,30,30,45,90,81,81,81,162,162,162,36,10,
120,45,45,45,90,90,90,81,81,81,10,36,10,30,30,30,45,10,36,30,30,10,10,10,12,
10,1,1]],
[1,2,3,3,3,3,3,4,4,4,5,6,6,6,6,6,6,8,8,8,9,9,9,9,9,9,9,9,9,9,9,9,9,9,10,12,12,
12,12,12,12,12,12,12,16,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,20,24,24,
24,24,24,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,
27,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,54,54,54,54,54,54,
54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,60,60,60,72,72,72,72,72,72,72,72,
72,72,81,81,81,81,81,81,81,81,81,81,81,81,108,108,108,108,108,108,108,108,108,
108,108,108,108,108,108,108,108,108,108,108,108,144,144,162,162,162,162,162,
162,162,162,216,216,216,216,216,243,243,243,324,324,324,324,324,324,360,360,
360,360,360,360,405,486,486,648,648,648,648,648,648,720,720,720,729,810,972,
972,972,972,1296,1458,1620,1944,1944,2916,2916,2916,4860,5832,29160,58320],
[236,177,234,229,181,182,183,143,66,45,61,169,58,60,59,135,141,45,45,45,226,
225,225,208,208,208,188,189,190,166,167,168,118,149,61,143,143,143,143,141,
135,66,62,66,45,225,188,189,190,168,167,166,118,177,169,169,130,58,59,60,61,
62,63,64,65,66,234,228,228,228,229,222,222,222,208,226,226,226,224,224,224,
208,208,208,208,208,194,194,194,193,191,190,189,188,138,139,140,178,139,140,
138,102,103,104,187,177,141,143,135,210,212,190,189,188,166,167,168,118,185,
184,186,175,176,174,125,126,127,128,129,169,131,132,133,178,177,177,178,138,
139,140,177,178,143,236,226,208,208,208,219,209,209,209,194,194,194,229,210,
189,188,190,187,191,190,188,189,166,167,168,187,191,190,188,189,174,175,176,
177,178,225,209,181,182,183,184,185,186,187,188,189,190,191,234,226,219,229,
229,229,229,225,210,216,217,218,204,205,206,227,234,209,225,225,225,213,214,
215,216,217,218,234,227,234,228,229,228,225,234,227,228,229,234,234,234,233,
234,236,236],
[1,1,1,1,1,1,1,1,1,1,1,4,5,6,7,1,1,2,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,11,1,8,8,
8,4,3,3,4,1,10,23,27,28,29,32,31,30,33,1,4,4,4,5,7,6,11,17,39,38,37,16,1,1,1,
1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,1,3,23,29,28,27,29,28,27,23,28,27,29,31,
30,32,23,22,4,8,3,23,23,29,28,27,30,31,32,33,76,77,78,81,80,79,83,82,84,85,86,
4,131,132,133,23,54,22,46,49,48,47,54,46,108,1,3,3,3,3,3,21,21,21,21,21,21,71,
67,70,69,68,71,67,68,69,70,72,73,74,23,23,29,27,28,79,81,80,106,98,23,145,148,
146,147,77,76,78,111,114,113,112,110,3,21,21,156,156,156,71,144,67,201,202,
203,204,205,206,144,192,145,179,144,179,195,196,197,201,202,203,67,207,192,
192,156,192,199,192,207,208,223,219,192,219,233,226,235,235],
[( 1, 80,181,172,150)( 2,224,204, 94,136)( 3,209, 19, 79,226)
( 4,167,234, 58,245)( 5,251,108,183, 14)( 6,154,238,197,174)
( 7,192, 18,177,151)( 8, 88,125,112, 35)( 9,138,207, 13,255)
( 10, 64,271,273, 48)( 11, 99,124, 17,254)( 12, 75, 89, 27,229)
( 15,201,259,240, 78)( 16, 39,263, 25, 63)( 20,102,225,156,170)
( 21, 45,184, 41, 61)( 22,139,196, 30, 36)( 23,116,233,104,176)
( 26,249, 53,160,119)( 28,120,122,159, 74)( 29, 43,105,236,152)
( 31,132, 56,212,114)( 32,107, 68,248,235)( 33, 55, 67,142,211)
( 34, 83,148, 54,242)( 37,217, 70, 62,200)( 38,221,206,186, 87)
( 40,205,253,109,165)( 44,239,191,230,270)( 46,134,182,198,143)
( 47,103,187,252,144)( 49, 69,218,237,135)( 50,129,189, 71, 86)
( 51, 93,262,210,267)( 52,123,219,168, 60)( 57,232,128,157,223)
( 59,166,231,178, 92)( 65,169,190,260,130)( 66,115,185, 97,117)
( 72,272,275,145,243)( 73,133,202,257,155)( 76,269,163,250,214)
( 77, 96,141,215,193)( 81,247,261,111,147)( 82,137,140, 98,179)
( 84, 95,241,126,195)( 90,127,274,110,131)( 91,171,220,244,188)
(100,268,222,164,158)(101,216,175,113,106)(118,208,246,228,162)
(146,213,199,203,194)(149,256,265,153,264)(161,173,258,266,180),
( 1,170, 19,164, 80,200,217, 37)( 2,180,132,115,201, 68, 56,255)
( 3,221,149,238, 28,265,226, 71)( 4,273,202,241,105, 14, 27, 48)
( 5,254, 95, 66)( 6,176,129,140,158,268,121,264)( 7,138,126,236,190,146,
212,168)( 8, 58, 63,257, 78, 60, 76, 11)( 9,165,155,166, 32, 65, 77,114)
( 10, 12,130,131, 18,139,134,213)( 13,136, 93,260, 17,163,161,125)
( 15,232,259, 73,109,141,178,123)( 16,235,250,128,271,223,182,167)
( 21, 61, 45,208,144, 54,275,252)( 22,195,194,151,267,169,234,227)
( 23,154,153,156,225,181,206,172)( 24, 85)( 25,258,204,173,253,124,143, 30)
( 26,150,256,233,122,211, 67, 50)( 29, 92,110,251,117,106, 52,214)
( 31,262,183,185,192,219,231,196)( 33,120,174,197,100, 82,135,247)
( 34,148,242, 91,118,187,145, 83)( 35, 75,270,133, 84, 57, 59, 97)
( 36,198, 99,240)( 38, 98,147,179, 81, 55, 87,237)( 39,245,108,274,224, 42,
88, 43)( 40,266,177, 96, 44, 89,112,207)( 41,243,184,244,188,228,246,162)
( 46,157,205,203,191, 90,175,199)( 47,220, 72,103)( 49, 70,142, 62,111,189,
86,116)( 51,263,248,113)( 53,186,160,137)( 64,210,101,152,230,215,269,107)
( 69,102,119,222)( 74,261,249,104,218,209,159, 79)( 94,127,239,229)(171,272)
(193,216)],
[[[[]]],[[[2,1,1,1],[2,1,3,1,2,1,3,1]]],[[[1,1,2,1],[2,1,1,-2],[4,1,3,-1,4,1,
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1],[3,1,4,1,3,1,4,1]],[[1,2],[3,1,2,2,3,1]],[[1,2],[1,1,2,-1,3,-2,2,-1,1,
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2],[3,1,4,-2,3,-1]],[[1,-1,2,2]],[[1,2],[3,1,2,-2,3,1,2,1,1,1,2,1]]],[[[1,2],[
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LIBTOM( "5^(1+2)+:3:8",
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[( 1, 44,187)( 2,202,266)( 3, 93, 53)( 4,238,181)( 5, 68, 42)
( 6,186, 17)( 7,170,220)( 8, 10,152)( 9,273,137)( 11, 76,269)( 12, 94,219)
( 13, 35,247)( 14, 37,100)( 15,150,159)( 16, 60,224)( 18,157,256)( 19,195, 54)
( 20,178,242)( 22,151,126)( 23,226,199)( 24,196,267)( 25, 58, 63)( 26, 43,103)
( 27,162,158)( 28,141,108)( 29,208,182)( 30,207,175)( 31,272,234)( 32,145, 65)
( 33, 45,240)( 34, 97,270)( 36,216, 92)( 38,191,252)( 39,128, 98)( 40,147,189)
( 41, 51,149)( 46,133, 87)( 47,218,121)( 48, 67,257)( 49,206,229)( 50,185,192)
( 52, 74,188)( 55, 61, 78)( 56,124,116)( 57, 82,250)( 59, 75,109)( 62,107,253)
( 64,211,123)( 66,106,160)( 69, 86,166)( 70,120,251)( 71,105,144)( 72,171,179)
( 73,204,214)( 77,197,163)( 79, 91,101)( 80,134,168)( 81,249,130)( 83,217,264)
( 84,254, 89)( 85,136,201)( 88,111,274)( 90,271,140)( 95,237,119)( 96,174,263)
( 99,212,243)(102,112,203)(104,132,167)(110,177,139)(113,223,265)(114,227,194)
(117,230,148)(118,143,236)(122,161,246)(125,146,209)(127,131,205)(129,225,262)
(135,172,180)(138,260,255)(142,228,233)(153,184,210)(155,222,244)(156,213,176)
(164,259,221)(165,235,275)(169,241,258)(173,231,245)(183,268,193)(190,200,248)
(215,232,239),( 1, 70, 68,162)( 2,118,159,181)( 3,262,170, 58, 44,208, 8,
123)( 4, 30,218, 55, 54,266, 63,217)( 5, 19, 46,229)( 6,250,168,226, 92,
165, 45, 39)( 7, 34, 96,206,150,223,152,143)( 9, 81,137,272,252, 79,269,228
)( 10, 75,220,265,271,167,202,268)( 11,247, 13,212,267,142,155,205)
( 12, 98, 37,219, 21,216,249,199)( 14,160,180, 56,233, 16,243, 94)
( 15,236,144,120,200, 77, 72, 20)( 17,149,240, 73, 43,108,116, 36)( 18,258)
( 22,260,110,259, 85,263, 97,169)( 23,186,203,153,114,273,131,231)
( 24,128, 41, 89)( 25, 93,121, 48,256, 83,158,175)( 26,130, 32, 88, 31,253,
213,156)( 27, 61,104,164,148, 42,195, 69)( 28,244,224, 80, 95,115, 35, 62)
( 29, 40, 50,187)( 33,176, 91,234,102,134,210,141)( 38,145,275,135,111,254,
274,119)( 47,161,197,189,185,138,109,179)( 49,105,177,174,178,207,136, 87)
( 51,191, 57,154,235,101, 66,214)( 52,163, 71,183,248,129, 53,182)( 59,133)
( 64,147,139,239)( 65,237,196,127,204,198,124,184)( 67,201,255,126,221,132,
171,192)( 74,151,257,193)( 76, 82, 84,103,222,261,172,173)( 78,225,188,238,
86,211,246,230)( 90,270,190,113,215,125,264,251)( 99,227,245,112,194,100,
107,106)(117,166,157,122,242,140,146,241)(209,232)],
[[[[]]],[[[2,-4]]],[[[1,1]]],[[[2,-2]]],[[[1,1,2,1],[3,1,2,2,1,1,3,-1,2,-2,1,
1]]],[[[2,1,1,-1,2,-1,1,-1]]],[[[2,2,1,1,2,2,1,1]]],[[[2,-1]]],[[[2,3,1,1,2,1,
1,1]]],[[[1,1,2,-4,1,-1]],[[1,1,2,-1,1,-1,2,1,1,1]]],[[[1,1,2,-2]]],[[[1,-1,2,
1,1,1,2,-1]]],[[[2,3,1,1,2,-1,1,1]],[[1,1,2,-2,1,-1]]],[[[1,-1],[2,1,1,1],[3,
1,2,1,4,-1,3,1,2,1,4,1]],[[1,1,2,-1,1,-1,2,1,1,1]]],[[[1,1,2,1,1,-1,2,-1,1,1,
2,-1]],[[2,1,1,1],[1,-1,2,1,3,2]]],[[[2,1,1,1,2,1,1,-1,2,-1,1,1,2,-1]],[[1,1,
2,-1,1,-1,2,1,1,1]]],[[[2,2,1,1,2,2]]],[[[1,1,2,-1,1,-1,2,-1,1,1,2,-1]],[[1,1,
2,-2,1,-1]]],[[[2,2,1,-1,2,2,1,1]],[[1,1,2,-1,1,-1,2,1,1,1]]],[[[1,1,2,-2,1,
-1]],[[2,1,1,-1,2,1]]],[[[2,2,1,-1,2,2,1,1]],[[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]],[[1,1,2,1,1,1,2,-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,-2]]],[[[2,-4]],[[1,-1]]],[[[1,1,2,-1,
1,1]],[[2,1]]],[[[2,2]],[[1,1]]],[[[1,1]],[[2,1]]]]);
LIBTOM( "3^(1+4)+:4S5",
[[1],[1,2],[1,3],[1,4],[1,5],[1,6],[1,7],[1,2,8],[1,2,9],[1,2,10],[1,2,11],[1,
2,3,12],[1,13],[1,2,4,14],[1,3,4,15],[1,3,5,16],[1,3,7,17],[1,2,5,18],[1,2,6,
19],[1,2,7,20],[1,3,5,21],[1,3,6,22],[1,3,6,23],[1,3,7,24],[1,2,10,25],[1,2,9,
10,26],[1,2,10,27],[1,2,8,9,11,28],[1,2,3,10,12,29],[1,2,10,30],[1,2,10,11,
31],[1,2,3,8,10,12,32],[1,2,3,9,11,12,33],[1,4,6,34],[1,4,5,7,35],[1,6,36],[1,
6,37],[1,5,6,7,38],[1,5,6,7,39],[1,6,7,40],[1,4,41],[1,2,13,42],[1,3,13,43],[
1,2,4,8,14,44],[1,2,4,11,14,45],[1,2,5,9,18,46],[1,2,4,9,14,47],[1,2,5,10,18,
48],[1,2,5,9,18,49],[1,2,3,4,12,14,15,50],[1,2,4,10,14,51],[1,2,7,9,20,52],[1,
2,3,5,12,16,18,21,53],[1,2,5,11,18,54],[1,2,5,8,18,55],[1,2,5,11,18,56],[1,2,
3,7,12,17,20,24,57],[1,2,7,11,20,58],[1,2,3,6,12,19,22,23,59],[1,4,13,60],[1,
2,9,10,25,26,27,61],[1,2,3,8,10,12,25,29,32,62],[1,2,3,9,10,12,26,29,30,63],[
1,2,3,8,10,12,27,30,32,64],[1,2,3,8,9,10,11,12,26,28,31,32,33,65],[1,2,3,10,
11,12,27,29,31,66],[1,2,10,11,25,30,31,67],[1,3,4,5,7,15,16,17,35,68],[1,2,6,
19,36,69],[1,2,6,19,37,70],[1,3,4,6,15,22,34,71],[1,3,4,15,41,72],[1,2,4,5,7,
14,18,20,35,73],[1,3,6,23,36,74],[1,3,4,5,7,15,21,24,35,75],[1,3,6,22,36,76],[
1,2,6,7,19,20,40,77],[1,2,5,6,7,18,19,38,78],[1,3,5,6,7,17,23,39,79],[1,2,5,6,
7,19,20,39,80],[1,3,5,6,7,16,23,38,81],[1,3,4,6,15,23,34,82],[1,3,6,7,17,23,
40,83],[1,2,4,6,14,19,34,84],[1,3,5,6,7,21,22,24,38,85],[1,3,5,6,7,21,22,24,
39,86],[1,3,6,7,22,24,40,87],[1,3,6,22,23,37,88],[1,2,10,13,42,89],[1,2,3,12,
13,42,43,90],[1,2,8,13,42,91],[1,2,5,10,18,25,92],[1,2,4,10,14,25,51,93],[1,2,
5,9,10,18,26,46,48,49,94],[1,2,4,8,9,11,14,28,44,45,47,95],[1,2,7,10,20,25,
96],[1,2,4,9,10,14,26,47,51,97],[1,2,3,4,10,12,14,15,29,50,51,98],[1,2,3,4,8,
10,12,14,15,32,44,50,51,99],[1,2,4,10,14,30,51,100],[1,2,4,10,14,27,51,101],[
1,2,4,10,11,14,31,45,51,102],[1,2,5,10,11,18,31,48,54,56,103],[1,2,3,4,9,11,
12,14,15,33,45,47,50,104],[1,2,5,8,9,11,18,28,46,55,56,105],[1,2,3,5,9,11,12,
16,18,21,33,49,53,56,106],[1,2,5,8,9,11,18,28,49,54,55,107],[1,2,3,5,9,11,12,
16,18,21,33,46,53,54,108],[1,2,3,5,8,10,12,16,18,21,32,48,53,55,109],[1,2,3,7,
9,11,12,17,20,24,33,52,57,58,110],[1,4,6,34,36,111],[1,4,6,34,112],[1,4,6,34,
113],[1,4,6,34,37,114],[1,4,6,34,115],[1,5,6,7,36,38,40,116],[1,4,5,6,7,34,35,
38,39,40,117],[1,5,6,7,36,38,39,40,118],[1,4,6,34,41,119],[1,4,6,34,41,120],[
1,4,6,34,41,121],[1,4,6,34,41,122],[1,2,4,13,14,42,60,123],[1,3,4,13,15,43,60,
124],[1,2,3,8,9,10,11,12,25,26,27,28,29,30,31,32,33,61,62,63,64,65,66,67,
125],[1,2,6,9,19,36,69,126],[1,2,6,10,19,36,69,127],[1,2,6,9,19,36,69,128],[1,
2,6,10,19,37,70,129],[1,2,6,8,19,36,69,130],[1,2,6,11,19,36,69,131],[1,2,4,5,
7,9,14,18,20,35,47,49,52,73,132],[1,2,4,5,7,8,14,18,20,35,44,55,73,133],[1,2,
4,5,7,11,14,18,20,35,45,54,73,134],[1,2,6,11,19,36,69,135],[1,2,3,4,5,7,12,14,
15,16,17,18,20,21,24,35,50,53,57,68,73,75,136],[1,2,4,5,7,9,14,18,20,35,46,47,
73,137],[1,2,3,6,12,19,22,23,36,59,69,74,76,138],[1,2,4,5,7,10,14,18,20,35,48,
51,73,139],[1,2,4,5,7,11,14,18,20,35,45,56,58,73,140],[1,2,3,6,12,19,22,23,37,
59,70,88,141],[1,2,6,11,19,37,70,142],[1,2,3,5,6,7,12,16,18,19,21,22,23,24,38,
53,59,78,81,85,143],[1,2,3,5,6,7,12,17,19,20,21,22,23,24,39,57,59,79,80,86,
144],[1,2,3,4,6,12,14,15,19,22,23,34,50,59,71,82,84,145],[1,2,3,6,7,12,17,19,
20,22,23,24,40,57,59,77,83,87,146],[1,2,10,13,27,42,89,147],[1,2,10,13,30,42,
89,148],[1,2,3,8,10,12,13,32,42,43,89,90,91,149],[1,2,5,9,10,18,25,26,27,46,
61,92,150],[1,2,3,4,8,10,12,14,15,25,29,32,44,50,51,62,93,98,99,151],[1,2,5,
10,11,18,25,30,31,56,67,92,152],[1,2,4,9,10,14,25,26,27,47,51,61,93,97,101,
153],[1,2,3,4,9,10,12,14,15,26,29,30,47,50,51,63,97,98,100,154],[1,2,3,4,10,
11,12,14,15,27,29,31,45,50,51,66,98,101,102,155],[1,2,3,5,8,10,12,18,25,29,32,
55,62,92,156],[1,2,3,4,8,9,10,11,12,14,15,26,28,31,32,33,44,45,47,50,51,65,95,
97,99,102,104,157],[1,2,3,4,8,10,12,14,15,27,30,32,44,50,51,64,99,100,101,
158],[1,2,4,10,11,14,25,30,31,45,51,67,93,100,102,159],[1,2,7,10,11,20,25,30,
31,58,67,96,160],[1,2,3,5,8,9,10,11,12,16,18,21,26,28,31,32,33,46,48,49,53,54,
55,56,65,94,103,105,106,107,108,109,161],[1,3,4,6,15,22,34,36,71,76,111,162],[
1,2,5,6,7,18,19,36,38,40,69,78,116,163],[1,2,4,6,14,19,34,36,69,84,111,164],[
1,2,4,6,14,19,34,84,112,165],[1,2,5,6,7,19,20,36,38,39,40,69,77,80,118,166],[
1,3,4,6,15,23,34,36,74,82,111,167],[1,2,4,6,14,19,34,37,70,84,114,168],[1,3,5,
6,7,21,22,24,36,38,40,76,85,87,116,169],[1,3,5,6,7,16,23,36,38,40,74,81,116,
170],[1,2,4,6,14,19,34,84,113,171],[1,3,4,6,15,22,23,34,71,82,113,172],[1,3,4,
5,6,7,15,21,22,24,34,35,38,39,40,71,75,85,86,87,117,173],[1,3,4,6,15,22,23,34,
71,82,115,174],[1,2,4,6,14,19,34,84,115,175],[1,3,4,5,6,7,15,16,17,23,34,35,
38,39,40,68,79,81,82,83,117,176],[1,3,4,6,15,22,23,34,71,82,115,177],[1,3,4,6,
15,22,23,34,37,71,82,88,114,178],[1,3,5,6,7,17,23,36,38,39,40,74,79,83,118,
179],[1,3,5,6,7,21,22,24,36,38,39,40,76,85,86,87,118,180],[1,3,4,6,15,23,34,
41,72,82,121,181],[1,3,4,6,15,23,34,41,72,82,119,182],[1,3,4,6,15,23,34,41,72,
82,120,183],[1,3,4,6,15,23,34,41,72,82,122,184],[1,2,4,5,6,7,14,18,19,20,34,
35,38,39,40,73,77,78,80,84,117,185],[1,2,3,4,12,13,14,15,42,43,50,60,90,123,
124,186],[1,2,4,10,13,14,42,51,60,89,123,187],[1,2,4,8,13,14,42,44,60,91,123,
188],[1,2,6,9,10,19,26,36,69,126,127,128,189],[1,2,6,8,9,11,19,28,36,69,126,
130,131,190],[1,2,6,10,19,27,37,70,129,191],[1,2,4,5,7,10,14,18,20,25,35,51,
73,92,93,96,192],[1,2,4,5,7,8,9,11,14,18,20,28,35,44,45,47,49,52,54,55,73,95,
107,132,133,134,193],[1,2,6,8,9,11,19,28,36,69,128,130,135,194],[1,2,6,10,11,
19,31,36,69,127,131,135,195],[1,2,6,10,11,19,31,37,70,129,142,196],[1,2,3,6,
10,12,19,22,23,29,37,59,70,88,129,141,197],[1,2,4,5,7,9,10,14,18,20,26,35,46,
47,48,49,51,52,73,94,97,132,137,139,198],[1,2,3,4,5,7,8,10,12,14,15,16,17,18,
20,21,24,32,35,44,48,50,51,53,55,57,68,73,75,99,109,133,136,139,199],[1,2,4,5,
7,8,9,11,14,18,20,28,35,44,45,46,47,55,56,58,73,95,105,133,137,140,200],[1,2,
3,6,8,10,12,19,22,23,32,36,59,69,74,76,127,130,138,201],[1,2,3,4,5,7,9,11,12,
14,15,16,17,18,20,21,24,33,35,45,47,49,50,52,53,56,57,58,68,73,75,104,106,110,
132,136,140,202],[1,2,3,6,9,11,12,19,22,23,33,36,59,69,74,76,126,135,138,
203],[1,2,3,6,9,11,12,19,22,23,33,36,59,69,74,76,128,131,138,204],[1,2,4,5,7,
10,11,14,18,20,31,35,45,48,51,54,56,58,73,102,103,134,139,140,205],[1,2,3,4,5,
7,9,11,12,14,15,16,17,18,20,21,24,33,35,45,46,47,50,53,54,57,68,73,75,104,108,
134,136,137,206],[1,2,3,8,10,12,13,27,30,32,42,43,64,89,90,91,147,148,149,
207],[1,4,5,6,7,34,35,36,38,39,40,111,116,117,118,208],[1,4,6,34,36,37,111,
112,113,114,115,209],[1,4,6,34,36,41,111,119,120,121,122,210],[1,4,5,6,7,34,
35,38,39,40,41,115,117,121,211],[1,4,6,34,41,115,119,120,122,212],[1,4,5,6,7,
34,35,38,39,40,41,112,117,121,213],[1,4,6,34,41,112,119,120,122,214],[1,2,3,5,
8,9,10,11,12,18,25,26,27,28,29,30,31,32,33,46,55,56,61,62,63,64,65,66,67,92,
105,125,150,152,156,215],[1,2,3,4,8,9,10,11,12,14,15,25,26,27,28,29,30,31,32,
33,44,45,47,50,51,61,62,63,64,65,66,67,93,95,97,98,99,100,101,102,104,125,151,
153,154,155,157,158,159,216],[1,2,5,6,7,10,18,19,36,38,40,48,69,78,116,127,
163,217],[1,2,5,6,7,9,18,19,36,38,40,49,69,78,116,126,163,218],[1,2,4,6,8,14,
19,34,36,44,69,84,111,130,164,219],[1,2,5,6,7,9,18,19,36,38,40,46,69,78,116,
128,163,220],[1,2,4,6,9,14,19,34,36,47,69,84,111,126,164,221],[1,2,4,6,11,14,
19,34,36,45,69,84,111,131,164,222],[1,2,5,6,7,9,19,20,36,38,39,40,52,69,77,80,
118,126,166,223],[1,2,5,6,7,11,18,19,36,38,40,54,69,78,116,131,163,224],[1,2,
5,6,7,8,18,19,36,38,40,55,69,78,116,130,163,225],[1,2,4,6,11,14,19,34,36,45,
69,84,111,135,164,226],[1,2,5,6,7,11,18,19,36,38,40,56,69,78,116,135,163,
227],[1,2,4,6,10,14,19,34,51,84,113,171,228],[1,2,4,6,10,14,19,34,37,51,70,84,
114,129,168,229],[1,2,4,6,10,14,19,34,36,51,69,84,111,127,164,230],[1,2,3,5,6,
7,12,16,18,19,21,22,23,24,36,38,40,53,59,69,74,76,78,81,85,87,116,138,143,163,
169,170,231],[1,2,4,6,9,14,19,34,36,47,69,84,111,128,164,232],[1,2,3,4,6,12,
14,15,19,22,23,34,36,50,59,69,71,74,76,82,84,111,138,145,162,164,167,233],[1,
2,3,5,6,7,12,17,19,20,21,22,23,24,36,38,39,40,57,59,69,74,76,77,79,80,83,85,
86,87,118,138,144,146,166,179,180,234],[1,2,3,4,6,12,14,15,19,22,23,34,50,59,
71,82,84,113,145,171,172,235],[1,2,4,6,9,14,19,34,47,84,113,171,236],[1,2,4,6,
11,14,19,34,37,45,70,84,114,142,168,237],[1,2,5,6,7,11,19,20,36,38,39,40,58,
69,77,80,118,135,166,238],[1,2,4,6,10,14,19,34,51,84,112,165,239],[1,2,3,4,6,
12,14,15,19,22,23,34,37,50,59,70,71,82,84,88,114,141,145,168,178,240],[1,2,3,
4,5,6,7,12,14,15,16,17,18,19,20,21,22,23,24,34,35,38,39,40,50,53,57,59,68,71,
73,75,77,78,79,80,81,82,83,84,85,86,87,117,136,143,144,145,146,173,176,185,
241],[1,2,3,4,6,12,14,15,19,22,23,34,50,59,71,82,84,115,145,174,175,177,242],[
1,2,5,10,13,18,25,42,48,89,92,243],[1,2,4,10,13,14,27,42,51,60,89,101,123,147,
187,244],[1,2,3,4,8,10,12,13,14,15,32,42,43,44,50,51,60,89,90,91,99,123,124,
149,186,187,188,245],[1,2,4,10,13,14,30,42,51,60,89,100,123,148,187,246],[1,2,
4,5,7,9,10,14,18,20,25,26,27,35,46,47,51,61,73,92,93,96,97,101,137,150,153,
192,247],[1,2,4,5,7,10,11,14,18,20,25,30,31,35,45,51,56,58,67,73,92,93,96,100,
102,140,152,159,160,192,248],[1,2,3,4,5,7,8,10,12,14,15,18,20,25,29,32,35,44,
50,51,55,62,73,92,93,96,98,99,133,151,156,192,249],[1,2,3,6,8,9,10,11,12,19,
22,23,26,28,31,32,33,36,59,65,69,74,76,126,127,128,130,131,135,138,189,190,
194,195,201,203,204,250],[1,2,3,4,5,7,8,9,10,11,12,14,15,16,17,18,20,21,24,26,
28,31,32,33,35,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,65,68,73,75,94,95,
97,99,102,103,104,105,106,107,108,109,110,132,133,134,136,137,139,140,157,161,
193,198,199,200,202,205,206,251],[1,2,3,6,10,11,12,19,22,23,27,29,31,37,59,66,
70,88,129,141,142,191,196,197,252],[1,3,4,5,6,7,15,21,22,24,34,35,36,38,39,40,
71,75,76,85,86,87,111,116,117,118,162,169,173,180,208,253],[1,3,4,5,6,7,15,16,
17,23,34,35,36,38,39,40,68,74,79,81,82,83,111,116,117,118,167,170,176,179,208,
254],[1,2,4,5,6,7,14,18,19,20,34,35,36,38,39,40,69,73,77,78,80,84,111,116,117,
118,163,164,166,185,208,255],[1,2,4,6,14,19,34,36,37,69,70,84,111,112,113,114,
115,164,165,168,171,175,209,256],[1,3,4,6,15,22,23,34,36,37,71,76,82,88,111,
112,113,114,115,162,172,174,177,178,209,257],[1,3,4,5,6,7,15,16,17,22,23,34,
35,38,39,40,41,68,71,72,79,81,82,83,115,117,121,176,177,181,211,258],[1,3,4,6,
15,22,23,34,41,71,72,82,115,119,120,122,177,182,183,184,212,259],[1,2,4,5,6,7,
14,18,19,20,34,35,38,39,40,41,73,77,78,80,84,115,117,121,175,185,211,260],[1,
3,4,5,6,7,15,21,22,23,24,34,35,38,39,40,41,71,75,82,85,86,87,115,117,121,173,
174,211,261],[1,3,4,6,15,22,23,34,36,37,71,74,82,88,111,112,113,114,115,167,
172,174,177,178,209,262],[1,2,4,5,6,7,14,18,19,20,34,35,38,39,40,41,73,77,78,
80,84,112,117,121,165,185,213,263],[1,3,4,6,15,23,34,36,41,72,74,82,111,119,
120,121,122,167,181,182,183,184,210,264],[1,2,4,6,8,9,11,14,19,28,34,36,44,45,
47,69,84,95,111,126,130,131,164,190,219,221,222,265],[1,2,5,6,7,9,10,18,19,26,
36,38,40,46,48,49,69,78,94,116,126,127,128,163,189,217,218,220,266],[1,2,4,6,
10,14,19,25,34,51,84,93,112,165,239,267],[1,2,5,6,7,8,9,11,18,19,28,36,38,40,
49,54,55,69,78,107,116,126,130,131,163,190,218,224,225,268],[1,2,4,6,9,10,14,
19,26,34,47,51,84,97,113,171,228,236,269],[1,2,4,6,10,11,14,19,31,34,36,45,51,
69,84,102,111,127,131,135,164,195,222,226,230,270],[1,2,4,6,10,11,14,19,31,34,
37,45,51,70,84,102,114,129,142,168,196,229,237,271],[1,2,4,6,10,14,19,27,34,
37,51,70,84,101,114,129,168,191,229,272],[1,2,3,5,6,7,9,11,12,16,18,19,21,22,
23,24,33,36,38,40,46,53,54,59,69,74,76,78,81,85,87,108,116,128,131,138,143,
163,169,170,204,220,224,231,273],[1,2,4,6,10,14,19,30,34,51,84,100,113,171,
228,274],[1,2,3,5,6,7,8,10,12,16,18,19,21,22,23,24,32,36,38,40,48,53,55,59,69,
74,76,78,81,85,87,109,116,127,130,138,143,163,169,170,201,217,225,231,275],[1,
2,3,5,6,7,9,11,12,16,18,19,21,22,23,24,33,36,38,40,49,53,56,59,69,74,76,78,81,
85,87,106,116,126,135,138,143,163,169,170,203,218,227,231,276],[1,2,5,6,7,8,9,
11,18,19,28,36,38,40,46,55,56,69,78,105,116,128,130,135,163,194,220,225,227,
277],[1,2,3,4,6,10,12,14,15,19,22,23,29,34,37,50,51,59,70,71,82,84,88,98,114,
129,141,145,168,178,197,229,240,278],[1,2,4,6,9,10,14,19,26,34,36,47,51,69,84,
97,111,126,127,128,164,189,221,230,232,279],[1,2,5,6,7,10,11,18,19,31,36,38,
40,48,54,56,69,78,103,116,127,131,135,163,195,217,224,227,280],[1,2,3,4,6,9,
11,12,14,15,19,22,23,33,34,36,45,47,50,59,69,71,74,76,82,84,104,111,128,131,
138,145,162,164,167,204,222,232,233,281],[1,2,4,6,8,9,11,14,19,28,34,36,44,45,
47,69,84,95,111,128,130,135,164,194,219,226,232,282],[1,2,3,4,6,8,10,12,14,15,
19,22,23,32,34,36,44,50,51,59,69,71,74,76,82,84,99,111,127,130,138,145,162,
164,167,201,219,230,233,283],[1,2,3,4,6,10,12,14,15,19,22,23,29,34,50,51,59,
71,82,84,98,113,145,171,172,228,235,284],[1,2,3,4,6,9,11,12,14,15,19,22,23,33,
34,36,45,47,50,59,69,71,74,76,82,84,104,111,126,135,138,145,162,164,167,203,
221,226,233,285],[1,2,3,5,6,7,9,11,12,17,19,20,21,22,23,24,33,36,38,39,40,52,
57,58,59,69,74,76,77,79,80,83,85,86,87,110,118,126,135,138,144,146,166,179,
180,203,223,234,238,286],[1,2,5,9,10,13,18,25,26,27,42,46,48,49,61,89,92,94,
147,150,243,287],[1,2,5,10,11,13,18,25,30,31,42,48,54,56,67,89,92,103,148,152,
243,288],[1,2,3,5,8,10,12,13,16,18,21,25,29,32,42,43,48,53,55,62,89,90,91,92,
109,149,156,243,289],[1,2,3,4,8,10,12,13,14,15,27,30,32,42,43,44,50,51,60,64,
89,90,91,99,100,101,123,124,147,148,149,158,186,187,188,207,244,245,246,290],[
1,4,6,34,36,37,111,112,113,114,115,209,291],[1,4,5,6,7,34,35,36,37,38,39,40,
41,111,112,113,114,115,116,117,118,119,120,121,122,208,209,210,211,213,292],[
1,4,6,34,36,37,41,111,112,113,114,115,119,120,121,122,209,210,212,214,293],[1,
2,3,4,5,7,8,9,10,11,12,14,15,18,20,25,26,27,28,29,30,31,32,33,35,44,45,46,47,
50,51,55,56,58,61,62,63,64,65,66,67,73,92,93,95,96,97,98,99,100,101,102,104,
105,125,133,137,140,150,151,152,153,154,155,156,157,158,159,160,192,200,215,
216,247,248,249,294],[1,2,4,5,6,7,8,14,18,19,20,34,35,36,38,39,40,44,55,69,73,
77,78,80,84,111,116,117,118,130,133,163,164,166,185,208,219,225,255,295],[1,2,
4,5,6,7,11,14,18,19,20,34,35,36,38,39,40,45,54,69,73,77,78,80,84,111,116,117,
118,131,134,163,164,166,185,208,222,224,255,296],[1,2,3,4,5,6,7,12,14,15,16,
17,18,19,20,21,22,23,24,34,35,36,38,39,40,50,53,57,59,68,69,71,73,74,75,76,77,
78,79,80,81,82,83,84,85,86,87,111,116,117,118,136,138,143,144,145,146,162,163,
164,166,167,169,170,173,176,179,180,185,208,231,233,234,241,253,254,255,297],[
1,2,4,5,6,7,9,14,18,19,20,34,35,36,38,39,40,47,49,52,69,73,77,78,80,84,111,
116,117,118,126,132,163,164,166,185,208,218,221,223,255,298],[1,2,4,5,6,7,11,
14,18,19,20,34,35,36,38,39,40,45,56,58,69,73,77,78,80,84,111,116,117,118,135,
140,163,164,166,185,208,226,227,238,255,299],[1,2,4,5,6,7,9,14,18,19,20,34,35,
36,38,39,40,46,47,69,73,77,78,80,84,111,116,117,118,128,137,163,164,166,185,
208,220,232,255,300],[1,2,4,5,6,7,10,14,18,19,20,34,35,36,38,39,40,48,51,69,
73,77,78,80,84,111,116,117,118,127,139,163,164,166,185,208,217,230,255,301],[
1,2,3,4,5,6,7,12,14,15,16,17,18,19,20,21,22,23,24,34,35,38,39,40,41,50,53,57,
59,68,71,72,73,75,77,78,79,80,81,82,83,84,85,86,87,115,117,121,136,143,144,
145,146,173,174,175,176,177,181,185,211,241,242,258,260,261,302],[1,2,3,4,6,
12,14,15,19,22,23,34,36,37,50,59,69,70,71,74,76,82,84,88,111,112,113,114,115,
138,141,145,162,164,165,167,168,171,172,174,175,177,178,209,233,235,240,242,
256,257,262,303],[1,2,4,5,7,10,13,14,18,20,25,35,42,48,51,60,73,89,92,93,96,
123,139,187,192,243,304],[1,2,3,4,6,8,9,10,11,12,14,15,19,22,23,26,28,31,32,
33,34,36,44,45,47,50,51,59,65,69,71,74,76,82,84,95,97,99,102,104,111,126,127,
128,130,131,135,138,145,157,162,164,167,189,190,194,195,201,203,204,219,221,
222,226,230,232,233,250,265,270,279,281,282,283,285,305],[1,2,3,5,6,7,8,9,10,
11,12,16,18,19,21,22,23,24,26,28,31,32,33,36,38,40,46,48,49,53,54,55,56,59,65,
69,74,76,78,81,85,87,94,103,105,106,107,108,109,116,126,127,128,130,131,135,
138,143,161,163,169,170,189,190,194,195,201,203,204,217,218,220,224,225,227,
231,250,266,268,273,275,276,277,280,306],[1,2,3,4,6,10,11,12,14,15,19,22,23,
27,29,31,34,37,45,50,51,59,66,70,71,82,84,88,98,101,102,114,129,141,142,145,
155,168,178,191,196,197,229,237,240,252,271,272,278,307],[1,2,3,4,6,9,10,12,
14,15,19,22,23,26,29,30,34,47,50,51,59,63,71,82,84,97,98,100,113,145,154,171,
172,228,235,236,269,274,284,308],[1,2,3,5,8,9,10,11,12,13,16,18,21,25,26,27,
28,29,30,31,32,33,42,43,46,48,49,53,54,55,56,61,62,63,64,65,66,67,89,90,91,92,
94,103,105,106,107,108,109,125,147,148,149,150,152,156,161,207,215,243,287,
288,289,309],[1,2,4,6,14,19,34,36,37,69,70,84,111,112,113,114,115,164,165,168,
171,175,209,256,291,310],[1,3,4,6,15,22,23,34,36,37,71,74,76,82,88,111,112,
113,114,115,162,167,172,174,177,178,209,257,262,291,311],[1,3,4,5,6,7,15,21,
22,23,24,34,35,36,37,38,39,40,41,71,75,76,82,85,86,87,88,111,112,113,114,115,
116,117,118,119,120,121,122,162,169,172,173,174,177,178,180,208,209,210,211,
213,253,257,261,292,312],[1,2,4,5,6,7,14,18,19,20,34,35,36,37,38,39,40,41,69,
70,73,77,78,80,84,111,112,113,114,115,116,117,118,119,120,121,122,163,164,165,
166,168,171,175,185,208,209,210,211,213,255,256,260,263,292,313],[1,3,4,5,6,7,
15,16,17,22,23,34,35,36,37,38,39,40,41,68,71,72,74,79,81,82,83,88,111,112,113,
114,115,116,117,118,119,120,121,122,167,170,172,174,176,177,178,179,181,182,
183,184,208,209,210,211,213,254,258,262,264,292,314],[1,3,4,6,15,22,23,34,36,
37,41,71,72,74,82,88,111,112,113,114,115,119,120,121,122,167,172,174,177,178,
181,182,183,184,209,210,212,214,259,262,264,293,315],[1,2,4,5,6,7,8,9,11,14,
18,19,20,28,34,35,36,38,39,40,44,45,46,47,55,56,58,69,73,77,78,80,84,95,105,
111,116,117,118,128,130,133,135,137,140,163,164,166,185,194,200,208,219,220,
225,226,227,232,238,255,277,282,295,299,300,316],[1,2,4,5,6,7,9,10,14,18,19,
20,26,34,35,36,38,39,40,46,47,48,49,51,52,69,73,77,78,80,84,94,97,111,116,117,
118,126,127,128,132,137,139,163,164,166,185,189,198,208,217,218,220,221,223,
230,232,255,266,279,298,300,301,317],[1,2,4,5,6,7,8,9,11,14,18,19,20,28,34,35,
36,38,39,40,44,45,47,49,52,54,55,69,73,77,78,80,84,95,107,111,116,117,118,126,
130,131,132,133,134,163,164,166,185,190,193,208,218,219,221,222,223,224,225,
255,265,268,295,296,298,318],[1,2,3,4,5,6,7,9,11,12,14,15,16,17,18,19,20,21,
22,23,24,33,34,35,36,38,39,40,45,47,49,50,52,53,56,57,58,59,68,69,71,73,74,75,
76,77,78,79,80,81,82,83,84,85,86,87,104,106,110,111,116,117,118,126,132,135,
136,138,140,143,144,145,146,162,163,164,166,167,169,170,173,176,179,180,185,
202,203,208,218,221,223,226,227,231,233,234,238,241,253,254,255,276,285,286,
297,298,299,319],[1,2,3,4,5,6,7,9,11,12,14,15,16,17,18,19,20,21,22,23,24,33,
34,35,36,38,39,40,45,46,47,50,53,54,57,59,68,69,71,73,74,75,76,77,78,79,80,81,
82,83,84,85,86,87,104,108,111,116,117,118,128,131,134,136,137,138,143,144,145,
146,162,163,164,166,167,169,170,173,176,179,180,185,204,206,208,220,222,224,
231,232,233,234,241,253,254,255,273,281,296,297,300,320],[1,2,4,5,6,7,10,11,
14,18,19,20,31,34,35,36,38,39,40,45,48,51,54,56,58,69,73,77,78,80,84,102,103,
111,116,117,118,127,131,134,135,139,140,163,164,166,185,195,205,208,217,222,
224,226,227,230,238,255,270,280,296,299,301,321],[1,2,3,4,5,6,7,8,10,12,14,15,
16,17,18,19,20,21,22,23,24,32,34,35,36,38,39,40,44,48,50,51,53,55,57,59,68,69,
71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,99,109,111,116,117,118,127,
130,133,136,138,139,143,144,145,146,162,163,164,166,167,169,170,173,176,179,
180,185,199,201,208,217,219,225,230,231,233,234,241,253,254,255,275,283,295,
297,301,322],[1,2,4,5,6,7,10,14,18,19,20,25,34,35,38,39,40,41,51,73,77,78,80,
84,92,93,96,112,117,121,165,185,192,213,239,263,267,323],[1,2,3,4,5,7,8,10,12,
13,14,15,16,17,18,20,21,24,25,29,32,35,42,43,44,48,50,51,53,55,57,60,62,68,73,
75,89,90,91,92,93,96,98,99,109,123,124,133,136,139,149,151,156,186,187,188,
192,199,243,245,249,289,304,324],[1,2,4,5,7,9,10,13,14,18,20,25,26,27,35,42,
46,47,48,49,51,52,60,61,73,89,92,93,94,96,97,101,123,132,137,139,147,150,153,
187,192,198,243,244,247,287,304,325],[1,2,4,5,7,10,11,13,14,18,20,25,30,31,35,
42,45,48,51,54,56,58,60,67,73,89,92,93,96,100,102,103,123,134,139,140,148,152,
159,160,187,192,205,243,246,248,288,304,326],[1,4,5,6,7,34,35,36,37,38,39,40,
41,111,112,113,114,115,116,117,118,119,120,121,122,208,209,210,211,212,213,
214,291,292,293,327],[1,2,4,6,8,14,19,34,36,37,44,69,70,84,111,112,113,114,
115,130,164,165,168,171,175,209,219,256,291,310,328],[1,2,4,6,11,14,19,34,36,
37,45,69,70,84,111,112,113,114,115,131,135,142,164,165,168,171,175,209,222,
226,237,256,291,310,329],[1,2,4,6,9,14,19,34,36,37,47,69,70,84,111,112,113,
114,115,126,128,164,165,168,171,175,209,221,232,236,256,291,310,330],[1,2,3,4,
6,12,14,15,19,22,23,34,36,37,50,59,69,70,71,74,76,82,84,88,111,112,113,114,
115,138,141,145,162,164,165,167,168,171,172,174,175,177,178,209,233,235,240,
242,256,257,262,291,303,310,311,331],[1,2,4,6,10,14,19,34,36,37,51,69,70,84,
111,112,113,114,115,127,129,164,165,168,171,175,209,228,229,230,239,256,291,
310,332],[1,2,3,4,5,6,7,12,14,15,16,17,18,19,20,21,22,23,24,34,35,36,37,38,39,
40,41,50,53,57,59,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,
88,111,112,113,114,115,116,117,118,119,120,121,122,136,138,141,143,144,145,
146,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,
180,181,182,183,184,185,208,209,210,211,213,231,233,234,235,240,241,242,253,
254,255,256,257,258,260,261,262,263,264,292,297,302,303,312,313,314,333],[1,4,
6,13,34,36,37,60,111,112,113,114,115,209,291,334],[1,2,3,4,5,6,7,8,9,10,11,12,
14,15,16,17,18,19,20,21,22,23,24,26,28,31,32,33,34,35,36,38,39,40,44,45,46,47,
48,49,50,51,52,53,54,55,56,57,58,59,65,68,69,71,73,74,75,76,77,78,79,80,81,82,
83,84,85,86,87,94,95,97,99,102,103,104,105,106,107,108,109,110,111,116,117,
118,126,127,128,130,131,132,133,134,135,136,137,138,139,140,143,144,145,146,
157,161,162,163,164,166,167,169,170,173,176,179,180,185,189,190,193,194,195,
198,199,200,201,202,203,204,205,206,208,217,218,219,220,221,222,223,224,225,
226,227,230,231,232,233,234,238,241,250,251,253,254,255,265,266,268,270,273,
275,276,277,279,280,281,282,283,285,286,295,296,297,298,299,300,301,305,306,
316,317,318,319,320,321,322,335],[1,2,3,4,5,7,8,9,10,11,12,13,14,15,16,17,18,
20,21,24,25,26,27,28,29,30,31,32,33,35,42,43,44,45,46,47,48,49,50,51,52,53,54,
55,56,57,58,60,61,62,63,64,65,66,67,68,73,75,89,90,91,92,93,94,95,96,97,98,99,
100,101,102,103,104,105,106,107,108,109,110,123,124,125,132,133,134,136,137,
139,140,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,186,187,
188,192,193,198,199,200,202,205,206,207,215,216,243,244,245,246,247,248,249,
251,287,288,289,290,294,304,309,324,325,326,336],[1,3,4,5,6,7,15,16,17,22,23,
34,35,36,37,38,39,40,41,68,71,72,74,76,79,81,82,83,88,111,112,113,114,115,116,
117,118,119,120,121,122,162,167,170,172,174,176,177,178,179,181,182,183,184,
208,209,210,211,212,213,214,254,257,258,259,262,264,291,292,293,311,314,315,
327,337],[1,2,4,5,6,7,14,18,19,20,34,35,36,37,38,39,40,41,69,70,73,77,78,80,
84,111,112,113,114,115,116,117,118,119,120,121,122,163,164,165,166,168,171,
175,185,208,209,210,211,212,213,214,255,256,260,263,291,292,293,310,313,327,
338],[1,3,4,5,6,7,15,21,22,23,24,34,35,36,37,38,39,40,41,71,74,75,76,82,85,86,
87,88,111,112,113,114,115,116,117,118,119,120,121,122,162,167,169,172,173,174,
177,178,180,208,209,210,211,212,213,214,253,257,261,262,291,292,293,311,312,
327,339],[1,2,4,6,10,14,19,25,34,36,37,51,69,70,84,93,111,112,113,114,115,127,
129,164,165,168,171,175,209,228,229,230,239,256,267,291,310,332,340],[1,2,4,6,
8,9,11,14,19,28,34,36,37,44,45,47,69,70,84,95,111,112,113,114,115,126,128,130,
131,135,142,164,165,168,171,175,190,194,209,219,221,222,226,232,236,237,256,
265,282,291,310,328,329,330,341],[1,2,4,6,10,11,14,19,31,34,36,37,45,51,69,70,
84,102,111,112,113,114,115,127,129,131,135,142,164,165,168,171,175,195,196,
209,222,226,228,229,230,237,239,256,270,271,291,310,329,332,342],[1,2,3,4,6,8,
10,12,14,15,19,22,23,32,34,36,37,44,50,51,59,69,70,71,74,76,82,84,88,99,111,
112,113,114,115,127,129,130,138,141,145,162,164,165,167,168,171,172,174,175,
177,178,201,209,219,228,229,230,233,235,239,240,242,256,257,262,283,291,303,
310,311,328,331,332,343],[1,2,4,6,9,10,14,19,26,34,36,37,47,51,69,70,84,97,
111,112,113,114,115,126,127,128,129,164,165,168,171,175,189,209,221,228,229,
230,232,236,239,256,269,279,291,310,330,332,344],[1,2,4,6,10,14,19,30,34,36,
37,51,69,70,84,100,111,112,113,114,115,127,129,164,165,168,171,175,209,228,
229,230,239,256,274,291,310,332,345],[1,2,4,6,10,14,19,27,34,36,37,51,69,70,
84,101,111,112,113,114,115,127,129,164,165,168,171,175,191,209,228,229,230,
239,256,272,291,310,332,346],[1,2,3,4,6,10,12,14,15,19,22,23,29,34,36,37,50,
51,59,69,70,71,74,76,82,84,88,98,111,112,113,114,115,127,129,138,141,145,162,
164,165,167,168,171,172,174,175,177,178,197,209,228,229,230,233,235,239,240,
242,256,257,262,278,284,291,303,310,311,331,332,347],[1,2,3,4,6,9,11,12,14,15,
19,22,23,33,34,36,37,45,47,50,59,69,70,71,74,76,82,84,88,104,111,112,113,114,
115,126,128,131,135,138,141,142,145,162,164,165,167,168,171,172,174,175,177,
178,203,204,209,221,222,226,232,233,235,236,237,240,242,256,257,262,281,285,
291,303,310,311,329,330,331,348],[1,2,4,6,13,14,19,34,36,37,42,60,69,70,84,
111,112,113,114,115,123,164,165,168,171,175,209,256,291,310,334,349],[1,3,4,6,
13,15,22,23,34,36,37,43,60,71,74,76,82,88,111,112,113,114,115,124,162,167,172,
174,177,178,209,257,262,291,311,334,350],[1,2,4,5,6,7,9,14,18,19,20,34,35,36,
37,38,39,40,41,46,47,69,70,73,77,78,80,84,111,112,113,114,115,116,117,118,119,
120,121,122,126,128,137,163,164,165,166,168,171,175,185,208,209,210,211,212,
213,214,220,221,232,236,255,256,260,263,291,292,293,300,310,313,327,330,338,
351],[1,2,4,5,6,7,8,14,18,19,20,34,35,36,37,38,39,40,41,44,55,69,70,73,77,78,
80,84,111,112,113,114,115,116,117,118,119,120,121,122,130,133,163,164,165,166,
168,171,175,185,208,209,210,211,212,213,214,219,225,255,256,260,263,291,292,
293,295,310,313,327,328,338,352],[1,2,4,5,6,7,11,14,18,19,20,34,35,36,37,38,
39,40,41,45,56,58,69,70,73,77,78,80,84,111,112,113,114,115,116,117,118,119,
120,121,122,131,135,140,142,163,164,165,166,168,171,175,185,208,209,210,211,
212,213,214,222,226,227,237,238,255,256,260,263,291,292,293,299,310,313,327,
329,338,353],[1,2,3,4,5,6,7,12,14,15,16,17,18,19,20,21,22,23,24,34,35,36,37,
38,39,40,41,50,53,57,59,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,
86,87,88,111,112,113,114,115,116,117,118,119,120,121,122,136,138,141,143,144,
145,146,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,
179,180,181,182,183,184,185,208,209,210,211,212,213,214,231,233,234,235,240,
241,242,253,254,255,256,257,258,259,260,261,262,263,264,291,292,293,297,302,
303,310,311,312,313,314,315,327,331,333,337,338,339,354],[1,2,4,5,6,7,10,14,
18,19,20,34,35,36,37,38,39,40,41,48,51,69,70,73,77,78,80,84,111,112,113,114,
115,116,117,118,119,120,121,122,127,129,139,163,164,165,166,168,171,175,185,
208,209,210,211,212,213,214,217,228,229,230,239,255,256,260,263,291,292,293,
301,310,313,327,332,338,355],[1,2,4,5,6,7,9,14,18,19,20,34,35,36,37,38,39,40,
41,47,49,52,69,70,73,77,78,80,84,111,112,113,114,115,116,117,118,119,120,121,
122,126,128,132,163,164,165,166,168,171,175,185,208,209,210,211,212,213,214,
218,221,223,232,236,255,256,260,263,291,292,293,298,310,313,327,330,338,356],[
1,2,4,5,6,7,11,14,18,19,20,34,35,36,37,38,39,40,41,45,54,69,70,73,77,78,80,84,
111,112,113,114,115,116,117,118,119,120,121,122,131,134,135,142,163,164,165,
166,168,171,175,185,208,209,210,211,212,213,214,222,224,226,237,255,256,260,
263,291,292,293,296,310,313,327,329,338,357],[1,2,3,4,6,8,10,12,14,15,19,22,
23,25,29,32,34,36,37,44,50,51,59,62,69,70,71,74,76,82,84,88,93,98,99,111,112,
113,114,115,127,129,130,138,141,145,151,162,164,165,167,168,171,172,174,175,
177,178,197,201,209,219,228,229,230,233,235,239,240,242,256,257,262,267,278,
283,284,291,303,310,311,328,331,332,340,343,347,358],[1,2,3,4,6,8,9,10,11,12,
14,15,19,22,23,26,28,31,32,33,34,36,37,44,45,47,50,51,59,65,69,70,71,74,76,82,
84,88,95,97,99,102,104,111,112,113,114,115,126,127,128,129,130,131,135,138,
141,142,145,157,162,164,165,167,168,171,172,174,175,177,178,189,190,194,195,
196,201,203,204,209,219,221,222,226,228,229,230,232,233,235,236,237,239,240,
242,250,256,257,262,265,269,270,271,279,281,282,283,285,291,303,305,310,311,
328,329,330,331,332,341,342,343,344,348,359],[1,2,4,6,10,11,14,19,25,30,31,34,
36,37,45,51,67,69,70,84,93,100,102,111,112,113,114,115,127,129,131,135,142,
159,164,165,168,171,175,195,196,209,222,226,228,229,230,237,239,256,267,270,
271,274,291,310,329,332,340,342,345,360],[1,2,3,4,6,8,10,12,14,15,19,22,23,27,
30,32,34,36,37,44,50,51,59,64,69,70,71,74,76,82,84,88,99,100,101,111,112,113,
114,115,127,129,130,138,141,145,158,162,164,165,167,168,171,172,174,175,177,
178,191,201,209,219,228,229,230,233,235,239,240,242,256,257,262,272,274,283,
291,303,310,311,328,331,332,343,345,346,361],[1,2,3,4,6,10,11,12,14,15,19,22,
23,27,29,31,34,36,37,45,50,51,59,66,69,70,71,74,76,82,84,88,98,101,102,111,
112,113,114,115,127,129,131,135,138,141,142,145,155,162,164,165,167,168,171,
172,174,175,177,178,191,195,196,197,209,222,226,228,229,230,233,235,237,239,
240,242,252,256,257,262,270,271,272,278,284,291,303,307,310,311,329,331,332,
342,346,347,362],[1,2,4,6,9,10,14,19,25,26,27,34,36,37,47,51,61,69,70,84,93,
97,101,111,112,113,114,115,126,127,128,129,153,164,165,168,171,175,189,191,
209,221,228,229,230,232,236,239,256,267,269,272,279,291,310,330,332,340,344,
346,363],[1,2,3,4,6,9,10,12,14,15,19,22,23,26,29,30,34,36,37,47,50,51,59,63,
69,70,71,74,76,82,84,88,97,98,100,111,112,113,114,115,126,127,128,129,138,141,
145,154,162,164,165,167,168,171,172,174,175,177,178,189,197,209,221,228,229,
230,232,233,235,236,239,240,242,256,257,262,269,274,278,279,284,291,303,308,
310,311,330,331,332,344,345,347,364],[1,2,4,6,10,13,14,19,34,36,37,42,51,60,
69,70,84,89,111,112,113,114,115,123,127,129,164,165,168,171,175,187,209,228,
229,230,239,256,291,310,332,334,349,365],[1,2,3,4,6,12,13,14,15,19,22,23,34,
36,37,42,43,50,59,60,69,70,71,74,76,82,84,88,90,111,112,113,114,115,123,124,
138,141,145,162,164,165,167,168,171,172,174,175,177,178,186,209,233,235,240,
242,256,257,262,291,303,310,311,331,334,349,350,366],[1,2,4,6,8,13,14,19,34,
36,37,42,44,60,69,70,84,91,111,112,113,114,115,123,130,164,165,168,171,175,
188,209,219,256,291,310,328,334,349,367],[1,2,4,5,6,7,10,14,18,19,20,25,34,35,
36,37,38,39,40,41,51,69,70,73,77,78,80,84,92,93,96,111,112,113,114,115,116,
117,118,119,120,121,122,127,129,163,164,165,166,168,171,175,185,192,208,209,
210,211,212,213,214,228,229,230,239,255,256,260,263,267,291,292,293,310,313,
323,327,332,338,340,368],[1,2,3,4,5,6,7,8,10,12,14,15,16,17,18,19,20,21,22,23,
24,32,34,35,36,37,38,39,40,41,44,48,50,51,53,55,57,59,68,69,70,71,72,73,74,75,
76,77,78,79,80,81,82,83,84,85,86,87,88,99,109,111,112,113,114,115,116,117,118,
119,120,121,122,127,129,130,133,136,138,139,141,143,144,145,146,162,163,164,
165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,
184,185,199,201,208,209,210,211,212,213,214,217,219,225,228,229,230,231,233,
234,235,239,240,241,242,253,254,255,256,257,258,259,260,261,262,263,264,275,
283,291,292,293,295,297,301,302,303,310,311,312,313,314,315,322,327,328,331,
332,333,337,338,339,343,352,354,355,369],[1,2,3,4,5,6,7,9,11,12,14,15,16,17,
18,19,20,21,22,23,24,33,34,35,36,37,38,39,40,41,45,46,47,50,53,54,57,59,68,69,
70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,104,108,111,112,113,
114,115,116,117,118,119,120,121,122,126,128,131,134,135,136,137,138,141,142,
143,144,145,146,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,
177,178,179,180,181,182,183,184,185,203,204,206,208,209,210,211,212,213,214,
220,221,222,224,226,231,232,233,234,235,236,237,240,241,242,253,254,255,256,
257,258,259,260,261,262,263,264,273,281,285,291,292,293,296,297,300,302,303,
310,311,312,313,314,315,320,327,329,330,331,333,337,338,339,348,351,354,357,
370],[1,2,4,5,6,7,8,9,11,14,18,19,20,28,34,35,36,37,38,39,40,41,44,45,47,49,
52,54,55,69,70,73,77,78,80,84,95,107,111,112,113,114,115,116,117,118,119,120,
121,122,126,128,130,131,132,133,134,135,142,163,164,165,166,168,171,175,185,
190,193,194,208,209,210,211,212,213,214,218,219,221,222,223,224,225,226,232,
236,237,255,256,260,263,265,268,282,291,292,293,295,296,298,310,313,318,327,
328,329,330,338,341,352,356,357,371],[1,2,4,5,6,7,10,11,14,18,19,20,31,34,35,
36,37,38,39,40,41,45,48,51,54,56,58,69,70,73,77,78,80,84,102,103,111,112,113,
114,115,116,117,118,119,120,121,122,127,129,131,134,135,139,140,142,163,164,
165,166,168,171,175,185,195,196,205,208,209,210,211,212,213,214,217,222,224,
226,227,228,229,230,237,238,239,255,256,260,263,270,271,280,291,292,293,296,
299,301,310,313,321,327,329,332,338,342,353,355,357,372],[1,2,4,5,6,7,8,9,11,
14,18,19,20,28,34,35,36,37,38,39,40,41,44,45,46,47,55,56,58,69,70,73,77,78,80,
84,95,105,111,112,113,114,115,116,117,118,119,120,121,122,126,128,130,131,133,
135,137,140,142,163,164,165,166,168,171,175,185,190,194,200,208,209,210,211,
212,213,214,219,220,221,222,225,226,227,232,236,237,238,255,256,260,263,265,
277,282,291,292,293,295,299,300,310,313,316,327,328,329,330,338,341,351,352,
353,373],[1,2,4,5,6,7,9,10,14,18,19,20,26,34,35,36,37,38,39,40,41,46,47,48,49,
51,52,69,70,73,77,78,80,84,94,97,111,112,113,114,115,116,117,118,119,120,121,
122,126,127,128,129,132,137,139,163,164,165,166,168,171,175,185,189,198,208,
209,210,211,212,213,214,217,218,220,221,223,228,229,230,232,236,239,255,256,
260,263,266,269,279,291,292,293,298,300,301,310,313,317,327,330,332,338,344,
351,355,356,374],[1,2,3,4,5,6,7,9,11,12,14,15,16,17,18,19,20,21,22,23,24,33,
34,35,36,37,38,39,40,41,45,47,49,50,52,53,56,57,58,59,68,69,70,71,72,73,74,75,
76,77,78,79,80,81,82,83,84,85,86,87,88,104,106,110,111,112,113,114,115,116,
117,118,119,120,121,122,126,128,131,132,135,136,138,140,141,142,143,144,145,
146,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,
180,181,182,183,184,185,202,203,204,208,209,210,211,212,213,214,218,221,222,
223,226,227,231,232,233,234,235,236,237,238,240,241,242,253,254,255,256,257,
258,259,260,261,262,263,264,276,281,285,286,291,292,293,297,298,299,302,303,
310,311,312,313,314,315,319,327,329,330,331,333,337,338,339,348,353,354,356,
375],[1,2,3,4,6,8,9,10,11,12,14,15,19,22,23,25,26,27,28,29,30,31,32,33,34,36,
37,44,45,47,50,51,59,61,62,63,64,65,66,67,69,70,71,74,76,82,84,88,93,95,97,98,
99,100,101,102,104,111,112,113,114,115,125,126,127,128,129,130,131,135,138,
141,142,145,151,153,154,155,157,158,159,162,164,165,167,168,171,172,174,175,
177,178,189,190,191,194,195,196,197,201,203,204,209,216,219,221,222,226,228,
229,230,232,233,235,236,237,239,240,242,250,252,256,257,262,265,267,269,270,
271,272,274,278,279,281,282,283,284,285,291,303,305,307,308,310,311,328,329,
330,331,332,340,341,342,343,344,345,346,347,348,358,359,360,361,362,363,364,
376],[1,2,4,6,10,13,14,19,27,34,36,37,42,51,60,69,70,84,89,101,111,112,113,
114,115,123,127,129,147,164,165,168,171,175,187,191,209,228,229,230,239,244,
256,272,291,310,332,334,346,349,365,377],[1,2,3,4,6,8,10,12,13,14,15,19,22,23,
32,34,36,37,42,43,44,50,51,59,60,69,70,71,74,76,82,84,88,89,90,91,99,111,112,
113,114,115,123,124,127,129,130,138,141,145,149,162,164,165,167,168,171,172,
174,175,177,178,186,187,188,201,209,219,228,229,230,233,235,239,240,242,245,
256,257,262,283,291,303,310,311,328,331,332,334,343,349,350,365,366,367,378],[
1,2,4,6,10,13,14,19,30,34,36,37,42,51,60,69,70,84,89,100,111,112,113,114,115,
123,127,129,148,164,165,168,171,175,187,209,228,229,230,239,246,256,274,291,
310,332,334,345,349,365,379],[1,2,4,5,6,7,10,11,14,18,19,20,25,30,31,34,35,36,
37,38,39,40,41,45,51,56,58,67,69,70,73,77,78,80,84,92,93,96,100,102,111,112,
113,114,115,116,117,118,119,120,121,122,127,129,131,135,140,142,152,159,160,
163,164,165,166,168,171,175,185,192,195,196,208,209,210,211,212,213,214,222,
226,227,228,229,230,237,238,239,248,255,256,260,263,267,270,271,274,291,292,
293,299,310,313,323,327,329,332,338,340,342,345,353,360,368,380],[1,2,3,4,5,6,
7,8,10,12,14,15,18,19,20,22,23,25,29,32,34,35,36,37,38,39,40,41,44,50,51,55,
59,62,69,70,71,73,74,76,77,78,80,82,84,88,92,93,96,98,99,111,112,113,114,115,
116,117,118,119,120,121,122,127,129,130,133,138,141,145,151,156,162,163,164,
165,166,167,168,171,172,174,175,177,178,185,192,197,201,208,209,210,211,212,
213,214,219,225,228,229,230,233,235,239,240,242,249,255,256,257,260,262,263,
267,278,283,284,291,292,293,295,303,310,311,313,323,327,328,331,332,338,340,
343,347,352,358,368,381],[1,2,4,5,6,7,9,10,14,18,19,20,25,26,27,34,35,36,37,
38,39,40,41,46,47,51,61,69,70,73,77,78,80,84,92,93,96,97,101,111,112,113,114,
115,116,117,118,119,120,121,122,126,127,128,129,137,150,153,163,164,165,166,
168,171,175,185,189,191,192,208,209,210,211,212,213,214,220,221,228,229,230,
232,236,239,247,255,256,260,263,267,269,272,279,291,292,293,300,310,313,323,
327,330,332,338,340,344,346,351,363,368,382],[1,2,3,4,5,6,7,8,9,10,11,12,14,
15,16,17,18,19,20,21,22,23,24,26,28,31,32,33,34,35,36,37,38,39,40,41,44,45,46,
47,48,49,50,51,52,53,54,55,56,57,58,59,65,68,69,70,71,72,73,74,75,76,77,78,79,
80,81,82,83,84,85,86,87,88,94,95,97,99,102,103,104,105,106,107,108,109,110,
111,112,113,114,115,116,117,118,119,120,121,122,126,127,128,129,130,131,132,
133,134,135,136,137,138,139,140,141,142,143,144,145,146,157,161,162,163,164,
165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,
184,185,189,190,193,194,195,196,198,199,200,201,202,203,204,205,206,208,209,
210,211,212,213,214,217,218,219,220,221,222,223,224,225,226,227,228,229,230,
231,232,233,234,235,236,237,238,239,240,241,242,250,251,253,254,255,256,257,
258,259,260,261,262,263,264,265,266,268,269,270,271,273,275,276,277,279,280,
281,282,283,285,286,291,292,293,295,296,297,298,299,300,301,302,303,305,306,
310,311,312,313,314,315,316,317,318,319,320,321,322,327,328,329,330,331,332,
333,335,337,338,339,341,342,343,344,348,351,352,353,354,355,356,357,359,369,
370,371,372,373,374,375,383],[1,2,3,4,6,8,10,12,13,14,15,19,22,23,27,30,32,34,
36,37,42,43,44,50,51,59,60,64,69,70,71,74,76,82,84,88,89,90,91,99,100,101,111,
112,113,114,115,123,124,127,129,130,138,141,145,147,148,149,158,162,164,165,
167,168,171,172,174,175,177,178,186,187,188,191,201,207,209,219,228,229,230,
233,235,239,240,242,244,245,246,256,257,262,272,274,283,290,291,303,310,311,
328,331,332,334,343,345,346,349,350,361,365,366,367,377,378,379,384],[1,2,3,4,
5,6,7,8,9,10,11,12,14,15,18,19,20,22,23,25,26,27,28,29,30,31,32,33,34,35,36,
37,38,39,40,41,44,45,46,47,50,51,55,56,58,59,61,62,63,64,65,66,67,69,70,71,73,
74,76,77,78,80,82,84,88,92,93,95,96,97,98,99,100,101,102,104,105,111,112,113,
114,115,116,117,118,119,120,121,122,125,126,127,128,129,130,131,133,135,137,
138,140,141,142,145,150,151,152,153,154,155,156,157,158,159,160,162,163,164,
165,166,167,168,171,172,174,175,177,178,185,189,190,191,192,194,195,196,197,
200,201,203,204,208,209,210,211,212,213,214,215,216,219,220,221,222,225,226,
227,228,229,230,232,233,235,236,237,238,239,240,242,247,248,249,250,252,255,
256,257,260,262,263,265,267,269,270,271,272,274,277,278,279,281,282,283,284,
285,291,292,293,294,295,299,300,303,305,307,308,310,311,313,316,323,327,328,
329,330,331,332,338,340,341,342,343,344,345,346,347,348,351,352,353,358,359,
360,361,362,363,364,368,373,376,380,381,382,385],[1,2,4,5,6,7,10,13,14,18,19,
20,25,34,35,36,37,38,39,40,41,42,48,51,60,69,70,73,77,78,80,84,89,92,93,96,
111,112,113,114,115,116,117,118,119,120,121,122,123,127,129,139,163,164,165,
166,168,171,175,185,187,192,208,209,210,211,212,213,214,217,228,229,230,239,
243,255,256,260,263,267,291,292,293,301,304,310,313,323,327,332,334,338,340,
349,355,365,368,386],[1,2,3,4,5,6,7,8,10,12,13,14,15,16,17,18,19,20,21,22,23,
24,25,29,32,34,35,36,37,38,39,40,41,42,43,44,48,50,51,53,55,57,59,60,62,68,69,
70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,96,98,
99,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,127,129,130,
133,136,138,139,141,143,144,145,146,149,151,156,162,163,164,165,166,167,168,
169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,
188,192,197,199,201,208,209,210,211,212,213,214,217,219,225,228,229,230,231,
233,234,235,239,240,241,242,243,245,249,253,254,255,256,257,258,259,260,261,
262,263,264,267,275,278,283,284,289,291,292,293,295,297,301,302,303,304,310,
311,312,313,314,315,322,323,324,327,328,331,332,333,334,337,338,339,340,343,
347,349,350,352,354,355,358,365,366,367,368,369,378,381,386,387],[1,2,4,5,6,7,
10,11,13,14,18,19,20,25,30,31,34,35,36,37,38,39,40,41,42,45,48,51,54,56,58,60,
67,69,70,73,77,78,80,84,89,92,93,96,100,102,103,111,112,113,114,115,116,117,
118,119,120,121,122,123,127,129,131,134,135,139,140,142,148,152,159,160,163,
164,165,166,168,171,175,185,187,192,195,196,205,208,209,210,211,212,213,214,
217,222,224,226,227,228,229,230,237,238,239,243,246,248,255,256,260,263,267,
270,271,274,280,288,291,292,293,296,299,301,304,310,313,321,323,326,327,329,
332,334,338,340,342,345,349,353,355,357,360,365,368,372,379,380,386,388],[1,2,
4,5,6,7,9,10,13,14,18,19,20,25,26,27,34,35,36,37,38,39,40,41,42,46,47,48,49,
51,52,60,61,69,70,73,77,78,80,84,89,92,93,94,96,97,101,111,112,113,114,115,
116,117,118,119,120,121,122,123,126,127,128,129,132,137,139,147,150,153,163,
164,165,166,168,171,175,185,187,189,191,192,198,208,209,210,211,212,213,214,
217,218,220,221,223,228,229,230,232,236,239,243,244,247,255,256,260,263,266,
267,269,272,279,287,291,292,293,298,300,301,304,310,313,317,323,325,327,330,
332,334,338,340,344,346,349,351,355,356,363,365,368,374,377,382,386,389],[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]],
0,[[1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1,1],[1,1,1],[1,1,1],[1,1,1],[1,
1,2,1],[1,1],[1,1,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,1,1,1],[1,3,1,1],[1,1,
1,1],[1,3,1,1],[1,3,1,1],[1,1,1,1],[1,3,1,1],[1,1,3,1],[1,1,2,1,1],[1,1,1,1],[
1,1,1,1,1,1],[1,1,4,1,2,1],[1,1,1,1],[1,1,1,2,1],[1,1,2,1,1,1,1],[1,1,2,1,1,1,
1],[1,1,3,1],[1,1,1,2,1],[1,4,1],[1,4,1],[1,1,1,2,1],[1,2,1,1,1],[1,1,3,1],[1,
1,1],[1,1,1,1],[1,5,1,1],[1,1,1,3,1,1],[1,1,1,3,1,1],[1,1,1,3,1,1],[1,1,1,1,1,
1],[1,1,1,3,1,1],[1,1,1,1,1,1],[1,1,6,1,3,1,2,1],[1,1,1,1,1,1],[1,1,1,1,1,1],[
1,1,6,1,3,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,3,1,1],[1,1,6,1,3,1,1,1,
1],[1,1,1,3,1,1],[1,3,4,1,3,1,1,1,1],[1,1,1,1],[1,1,2,3,1,1,1,1],[1,1,6,1,3,3,
1,3,3,1],[1,1,4,2,1,2,1,1,1,1],[1,1,2,1,1,1,1,1,1,1],[1,1,2,1,2,1,2,1,1,2,1,1,
2,1],[1,1,4,1,2,2,1,1,1,1],[1,1,3,2,1,1,1,1],[1,9,1,1,2,3,3,6,1,1],[1,9,4,12,
1,1],[1,9,4,12,1,1],[1,9,1,3,3,9,1,1],[1,9,1,3,1,1],[1,1,1,1,2,1,1,2,1,1],[1,
1,4,4,1,1],[1,9,1,1,2,3,3,6,1,1],[1,9,4,12,1,1],[1,3,1,3,1,3,1,1],[1,3,1,1,2,
3,1,1,1],[1,3,2,1,1,1,3,1,1],[1,3,2,1,1,1,3,1,1],[1,3,1,1,2,1,3,1,1],[1,3,1,3,
1,3,1,1],[1,3,1,3,1,3,1,1],[1,3,1,3,3,1,1,1],[1,9,1,1,2,3,3,6,1,1],[1,9,2,1,1,
6,3,3,1,1],[1,9,1,3,3,9,1,1],[1,3,4,1,3,1,1],[1,1,5,1,1,1],[1,1,10,5,1,1,2,
1],[1,1,1,1,1,1],[1,1,4,3,4,1,1],[1,1,1,3,1,1,3,1],[1,1,1,4,3,1,3,1,1,1,1],[1,
1,1,3,1,3,1,3,1,1,1,1],[1,1,4,3,4,1,1],[1,1,1,2,1,1,1,2,1,1],[1,1,12,1,1,6,1,
4,3,2,1,1],[1,1,6,1,3,1,3,1,2,3,1,1,1,1],[1,1,1,1,1,3,1,1],[1,1,1,1,1,1,1,1],[
1,1,1,1,6,1,3,2,1,1],[1,1,1,3,4,1,3,1,1,1,1],[1,1,6,1,1,3,3,1,2,3,1,1,1,1],[1,
1,1,1,3,3,1,3,1,1,1,1],[1,1,6,1,1,3,3,1,1,1,3,1,1,1,1],[1,1,1,1,1,1,1,1,1,1,1,
1],[1,1,6,1,3,1,3,1,1,1,3,1,1,1,1],[1,1,6,1,1,3,3,1,1,1,3,1,1,1,1],[1,1,6,1,1,
3,3,1,1,1,3,1,1,1,1],[1,1,12,4,9,1],[1,1,12,4,1],[1,1,12,4,1],[1,1,12,4,9,1],[
1,1,12,4,1],[1,1,4,8,1,4,8,1],[1,1,3,3,6,1,3,3,3,3,1],[1,4,4,5,1,4,6,2,1],[1,
1,3,1,3,1],[1,1,3,1,3,1],[1,1,3,1,3,1],[1,1,3,1,3,1],[1,1,1,1,1,1,1,1],[1,15,
1,1,5,3,1,1],[1,1,6,1,2,3,2,3,1,1,1,2,3,1,1,3,2,1,1,1,1,1,1,1,1],[1,9,4,9,12,
1,1,1],[1,9,4,9,12,1,1,1],[1,9,4,9,12,1,1,1],[1,9,4,9,12,1,1,1],[1,9,4,9,12,1,
1,1],[1,9,4,9,12,1,1,1],[1,1,1,1,2,1,1,1,2,1,1,1,2,1,1],[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],[1,9,4,9,12,1,1,1],[1,1,18,1,1,2,9,1,6,
3,6,1,2,3,6,1,3,3,6,1,1,1,1],[1,1,1,1,2,3,1,1,2,1,1,3,1,1],[1,9,10,4,9,12,12,
4,1,12,1,1,1,1],[1,1,1,1,2,3,1,1,2,1,1,3,1,1],[1,1,1,1,2,9,1,1,2,1,3,3,6,1,
1],[1,9,6,4,9,12,2,6,1,6,1,2,1],[1,9,4,9,12,1,1,1],[1,3,12,1,1,2,9,1,3,1,3,3,
3,6,1,3,3,1,1,1,1],[1,3,12,2,1,1,9,1,1,3,6,3,3,3,1,3,3,1,1,1,1],[1,3,12,1,3,9,
3,4,1,9,3,1,3,3,1,1,1,1],[1,3,12,1,3,9,1,1,3,3,3,9,1,3,3,1,1,1,1],[1,1,5,1,5,
1,1,1],[1,1,5,1,5,1,1,1],[1,1,10,1,5,5,1,5,1,2,1,1,1,1],[1,1,4,6,3,4,1,3,3,4,
3,1,1],[1,1,18,1,3,3,9,1,6,1,9,9,1,3,3,3,1,3,3,1],[1,1,4,3,6,4,1,3,3,4,3,1,
1],[1,1,1,2,3,1,1,1,1,2,3,1,1,1,1,1],[1,1,12,1,2,1,6,1,4,1,3,3,2,2,1,3,1,1,1,
1],[1,1,12,1,1,6,6,1,4,1,3,3,2,2,1,3,1,1,1,1],[1,1,6,4,1,3,3,4,1,3,3,4,1,1,
1],[1,1,6,1,3,2,1,6,3,1,2,1,6,3,3,6,1,2,2,1,1,3,2,1,1,1,2,1],[1,1,6,1,3,1,3,1,
2,1,3,3,1,1,1,3,1,1,1,1],[1,1,1,3,6,1,1,3,3,2,3,3,1,1,1,1],[1,1,4,3,6,4,1,3,3,
4,3,1,1],[1,1,6,1,1,4,3,4,3,1,1,1,3,4,3,3,6,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1],[
1,27,1,12,9,108,4,9,12,27,1,1],[1,9,1,4,8,9,12,1,4,8,1,12,1,1],[1,9,1,12,9,12,
4,9,1,12,1,1],[1,9,1,12,9,12,4,12,1,1],[1,9,4,4,5,12,9,1,4,6,2,1,6,6,1,1],[1,
3,1,12,1,12,4,9,3,4,1,1],[1,9,1,12,9,12,4,9,1,12,1,1],[1,27,1,4,8,9,36,72,1,4,
8,3,12,24,1,1],[1,3,1,4,8,1,12,1,4,8,3,4,1,1],[1,9,1,12,9,12,4,12,1,1],[1,9,1,
12,3,9,9,4,1,3,1,1],[1,27,1,3,3,6,9,27,27,54,1,3,3,3,3,3,9,9,9,9,1,1],[1,9,1,
12,3,9,9,4,1,3,1,1],[1,9,1,12,9,12,4,12,1,1],[1,9,1,3,3,6,3,3,6,9,1,3,3,3,3,1,
3,3,3,3,1,1],[1,9,1,12,3,9,9,4,1,3,1,1],[1,9,1,12,3,9,9,4,9,1,3,9,1,1],[1,3,4,
4,5,1,12,1,4,6,2,3,2,2,1,1],[1,27,4,4,5,36,36,45,1,4,6,2,3,12,18,6,1,1],[1,9,
1,3,3,9,1,3,1,3,1,1],[1,9,1,3,3,9,1,3,1,3,1,1],[1,9,1,3,3,9,1,3,1,3,1,1],[1,9,
1,3,3,9,1,3,1,3,1,1],[1,3,1,3,3,6,3,3,1,6,1,3,3,3,3,3,1,1,1,1,1,1],[1,1,30,1,
15,1,1,10,1,6,5,1,3,1,2,1],[1,1,1,5,1,1,1,5,1,1,1,1],[1,1,1,3,1,1,1,1,1,3,1,
1],[1,9,4,18,9,12,9,1,1,1,1,1,1],[1,9,4,9,9,9,12,9,1,1,1,1,1,1],[1,9,4,9,12,9,
1,1,1,1],[1,1,1,4,8,3,1,4,8,1,4,3,4,1,1,2,1],[1,1,1,1,2,3,1,3,1,1,2,3,1,1,1,1,
1,2,3,3,1,1,3,1,1,1,1],[1,9,4,9,9,9,12,9,1,1,1,1,1,1],[1,9,4,9,18,12,9,1,1,1,
1,1,1],[1,9,4,9,18,12,9,1,1,1,2,1],[1,9,12,4,9,18,12,4,12,9,1,12,1,4,1,2,1],[
1,1,1,1,2,4,3,1,1,2,3,1,1,4,1,1,3,2,1,1,3,1,1,1,1],[1,1,18,1,1,2,3,3,9,1,6,3,
6,1,2,3,6,9,1,1,1,3,3,3,3,6,1,1,1,3,3,1,1,1,1],[1,1,1,1,2,3,3,9,1,1,2,9,1,1,3,
1,3,3,3,6,1,3,3,1,1,1,1],[1,9,10,4,9,9,9,12,12,4,9,1,12,1,1,1,1,1,1,1],[1,1,
18,1,1,2,1,9,9,1,6,3,6,1,2,3,6,9,1,3,1,1,3,2,3,3,6,6,1,1,1,3,3,6,1,1,1,1],[1,
9,10,4,9,9,9,12,12,4,9,1,12,1,1,1,1,1,1,1],[1,9,10,4,9,9,9,12,12,4,9,1,12,1,1,
1,1,1,1,1],[1,1,1,1,2,3,12,1,1,2,9,1,4,1,3,3,3,6,1,3,3,1,1,1,1],[1,1,18,1,1,2,
3,3,9,1,6,3,6,1,2,3,6,9,1,1,1,3,3,3,3,6,1,1,1,3,3,1,1,1,1],[1,1,10,1,5,5,1,5,
5,5,1,2,5,1,1,1,1,1,1,1],[1,1,9,12,18,4,9,9,36,36,36,1,9,12,18,1],[1,1,39,13,
9,27,1,2,3,3,4,1],[1,1,12,4,9,9,1,3,3,3,3,1],[1,1,3,12,6,4,3,3,3,3,6,1,1,2,
1],[1,1,12,4,9,1,1,1,1,1],[1,1,3,12,6,4,3,3,3,3,6,1,1,2,1],[1,1,12,4,9,1,1,1,
1,1],[1,1,6,4,1,6,3,6,3,4,1,3,3,6,3,3,3,3,6,4,4,4,3,1,3,3,3,3,3,1,4,3,1,1,1,
1],[1,1,18,1,3,2,3,6,9,1,6,1,1,1,6,9,3,3,9,6,1,2,2,3,3,1,3,3,3,3,3,3,1,2,1,3,
3,1,1,1,2,3,1,1,1,1,1,1,1,1],[1,9,1,4,8,27,9,12,1,4,8,9,1,12,1,3,1,1],[1,9,1,
4,8,9,9,12,1,4,8,9,1,12,1,1,1,1],[1,9,1,12,27,9,12,4,9,9,1,12,1,3,1,1],[1,9,1,
4,8,27,9,12,1,4,8,9,1,12,1,3,1,1],[1,9,1,12,9,9,12,4,9,9,1,12,1,1,1,1],[1,9,1,
12,27,9,12,4,9,9,1,12,1,3,1,1],[1,9,4,4,5,9,12,9,1,4,6,2,9,1,6,6,1,1,1,1],[1,
9,1,4,8,9,9,12,1,4,8,9,1,12,1,1,1,1],[1,9,1,4,8,9,9,12,1,4,8,9,1,12,1,1,1,1],[
1,9,1,12,27,9,12,4,9,9,1,12,1,3,1,1],[1,9,1,4,8,27,9,12,1,4,8,9,1,12,1,3,1,
1],[1,9,1,12,9,9,12,4,9,12,1,1,1],[1,9,1,12,9,9,12,4,9,9,1,12,1,1,1,1],[1,9,1,
12,9,9,12,4,9,9,1,12,1,1,1,1],[1,9,30,1,4,8,27,1,9,12,9,36,12,72,1,4,8,9,36,1,
3,3,12,4,12,24,1,3,12,1,1,1,1],[1,9,1,12,9,9,12,4,9,9,1,12,1,1,1,1],[1,9,30,1,
12,27,9,10,12,108,12,4,9,9,36,1,12,3,27,4,12,1,3,12,1,1,1,1],[1,9,30,4,4,5,27,
1,12,9,36,36,12,45,1,4,6,2,9,36,1,3,3,6,2,6,2,12,18,6,1,3,6,6,1,1,1,1],[1,9,
18,1,12,27,9,6,12,18,18,4,9,18,2,6,12,1,6,1,2,1],[1,9,1,12,9,9,12,4,9,12,1,1,
1],[1,9,1,12,27,9,12,4,9,9,1,12,1,3,1,1],[1,9,4,4,5,27,12,9,1,4,6,2,9,1,6,6,1,
3,1,1],[1,9,1,12,9,9,12,4,9,12,1,1,1],[1,9,18,1,12,27,9,6,12,18,18,4,9,9,18,1,
2,6,12,18,1,3,6,1,2,1],[1,3,36,1,3,3,6,27,3,12,3,6,3,1,6,27,27,9,54,1,3,3,3,3,
9,9,18,9,1,3,3,9,1,1,3,1,3,3,3,1,9,9,9,1,3,3,3,3,3,1,1,1,1],[1,9,18,1,12,27,9,
6,12,18,18,4,9,18,2,6,12,1,6,1,1,1,1],[1,1,10,15,6,10,5,6,10,6,5,1],[1,1,1,5,
1,1,5,1,5,1,1,5,1,1,1,1],[1,1,30,1,3,5,15,1,1,10,15,1,6,1,5,5,1,1,3,3,5,1,2,3,
1,1,1,1],[1,1,1,5,1,1,15,1,5,1,1,5,1,3,1,1],[1,1,1,4,8,6,3,1,4,8,1,3,3,4,4,6,
3,3,4,1,1,2,3,3,4,1,3,1,1],[1,1,1,4,8,3,18,1,4,8,1,9,9,4,6,3,12,24,9,4,1,1,2,
3,3,4,3,3,6,1,1],[1,1,18,1,4,8,3,3,9,1,6,4,8,1,9,9,4,1,3,3,12,3,4,1,1,2,3,3,4,
1,3,1,1],[1,9,10,4,9,18,9,18,9,12,12,4,9,18,9,9,18,1,12,9,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1],[1,1,18,1,1,2,3,4,3,12,9,1,6,3,6,1,2,3,6,3,12,9,9,18,1,1,4,1,
4,1,1,3,3,2,3,3,3,3,6,6,9,1,1,1,1,4,3,3,3,3,6,3,3,3,3,3,6,1,1,1,1,1,1,1,3,3,1,
1,1,1,1,1,1,1],[1,9,12,4,9,18,18,12,4,12,9,9,9,1,12,9,1,4,1,2,2,1,1,1,1],[1,
81,1,9,12,18,27,243,324,486,4,9,9,36,36,36,36,81,81,324,324,324,1,9,12,18,3,
27,36,54,1,1],[1,9,1,9,12,18,3,3,6,36,4,9,9,36,36,36,1,9,12,12,12,12,1,9,12,
18,3,3,4,6,1,1],[1,9,1,9,12,18,9,9,12,18,4,9,9,36,36,36,1,9,12,12,12,12,1,9,
12,18,1,1,2,12,1,1],[1,27,1,39,27,117,13,9,27,3,9,117,1,2,3,3,4,3,6,9,9,12,1,
1],[1,27,1,39,9,108,27,13,9,27,12,27,9,27,1,2,3,3,4,1,3,3,3,3,1,1],[1,27,1,3,
12,6,9,9,18,27,27,4,3,3,3,3,6,3,3,6,9,9,9,9,1,1,2,3,3,6,1,1],[1,27,1,12,9,27,
27,4,9,3,9,9,1,1,1,1,3,3,3,3,1,1],[1,9,1,3,12,6,9,9,12,18,4,3,3,3,3,6,9,3,3,3,
12,1,1,2,1,3,1,1],[1,27,1,3,12,6,9,27,27,27,54,4,3,3,3,3,6,3,9,9,9,9,9,1,1,2,
1,3,1,1],[1,9,1,39,3,9,36,13,9,27,1,9,12,9,1,2,3,3,4,3,1,1,1,1,1,1],[1,9,1,3,
12,6,9,9,12,18,4,3,3,3,3,6,9,3,3,3,12,1,1,2,1,3,1,1],[1,9,1,12,3,36,4,9,9,1,9,
12,1,3,3,3,3,3,1,1,1,1,1,1],[1,9,1,12,27,9,27,9,12,27,4,9,9,9,9,1,12,9,1,1,3,
3,1,3,1,1,1,1],[1,9,1,4,8,36,27,9,12,27,1,4,8,9,9,9,1,12,9,1,1,3,3,1,3,1,1,1,
1],[1,9,1,12,27,9,12,9,4,27,12,9,1,1,3,1],[1,9,1,4,8,9,9,9,9,12,9,1,4,8,9,9,9,
1,12,9,1,1,1,1,1,1,1,1,1,1],[1,9,1,12,18,9,9,12,9,4,18,9,12,9,1,1,1,2,1],[1,9,
1,12,9,54,9,12,27,4,9,18,9,1,12,9,1,1,3,3,1,3,1,1,1,1],[1,9,1,12,9,54,9,12,27,
4,9,18,9,1,12,9,1,1,6,1,3,1,2,1],[1,9,1,12,9,9,12,9,4,9,9,1,12,9,1,1,1,1,1,
1],[1,9,30,1,4,8,27,9,27,1,9,12,9,36,12,72,27,1,4,8,9,9,9,36,1,3,3,12,4,12,24,
9,1,3,1,3,12,1,1,1,3,1,1,1,1],[1,9,1,12,9,9,12,27,4,9,12,9,1,1,1,1],[1,9,30,1,
4,8,9,27,27,1,9,12,9,36,12,72,27,1,4,8,9,9,9,36,1,3,3,12,4,12,24,9,1,3,1,3,12,
1,1,1,3,1,1,1,1],[1,9,30,1,4,8,9,27,27,1,9,12,9,36,12,72,27,1,4,8,9,9,9,36,1,
3,3,12,4,12,24,9,1,1,3,3,12,1,1,1,3,1,1,1,1],[1,9,1,4,8,9,27,27,9,12,27,1,4,8,
9,9,9,1,12,9,1,3,1,3,1,3,1,1,1,1],[1,9,36,1,12,9,54,9,12,12,36,36,27,4,9,18,9,
36,1,4,12,12,36,9,1,1,6,12,1,4,3,1,2,1],[1,9,1,12,18,9,9,12,9,4,9,18,9,1,12,9,
1,1,1,1,1,1,1,1,1,1],[1,9,1,4,8,27,36,9,12,27,1,4,8,9,9,9,1,12,9,1,3,1,3,1,3,
1,1,1,1],[1,9,30,1,12,9,27,27,9,10,12,108,12,27,4,9,9,9,9,36,1,12,3,27,4,12,9,
1,1,3,3,12,1,1,1,3,1,1,1,1],[1,9,1,12,27,9,27,9,12,27,4,9,9,9,9,1,12,9,1,1,3,
3,1,3,1,1,1,1],[1,9,30,1,12,27,9,27,9,10,12,108,12,27,4,9,9,9,9,36,1,12,3,27,
4,12,9,1,1,3,3,12,1,1,1,3,1,1,1,1],[1,9,36,1,12,9,54,9,12,12,36,36,27,4,18,9,
36,4,12,12,9,1,12,1,4,1,2,1],[1,9,30,1,12,9,27,27,9,10,12,108,12,27,4,9,9,9,9,
36,1,12,3,27,4,12,9,1,1,3,3,12,1,1,1,3,1,1,1,1],[1,9,30,4,4,5,9,27,27,1,12,9,
36,36,12,45,27,1,4,6,2,9,9,9,36,1,3,3,6,2,6,2,12,18,6,9,1,1,3,3,6,6,1,1,1,3,1,
1,1,1],[1,1,10,10,15,6,10,5,15,15,6,10,10,10,15,6,5,10,6,5,1,1],[1,1,10,15,10,
6,10,5,15,15,6,10,10,10,15,6,5,10,6,5,1,1],[1,1,30,10,1,15,15,6,10,10,10,5,15,
15,6,12,10,10,10,5,6,6,6,5,10,6,5,1,1],[1,1,30,1,3,5,15,1,1,10,5,15,15,1,6,1,
5,5,1,15,1,3,3,5,5,5,1,2,1,3,3,5,1,1,1,3,1,1,1,1],[1,1,120,40,90,270,10,20,30,
30,40,40,1],[1,1,9,39,18,13,9,9,27,36,36,36,18,1,2,3,3,4,9,12,18,6,6,6,6,1,1,
2,3,6,1],[1,1,39,13,9,27,27,1,2,3,3,4,9,9,9,9,1,3,3,6,1],[1,1,18,1,4,8,3,6,3,
18,9,1,6,4,8,1,3,3,18,9,9,9,9,18,4,1,6,4,6,3,3,12,12,24,3,3,9,9,9,9,9,4,1,1,6,
2,3,3,3,3,3,3,6,12,9,4,4,4,1,1,3,3,3,3,3,3,3,3,6,1,4,3,3,1,1,1,1],[1,9,1,9,12,
18,27,9,9,12,18,4,9,9,36,36,36,9,27,1,9,12,12,12,12,1,9,12,18,3,9,1,1,2,12,1,
1,3,1,1],[1,9,1,9,12,18,27,9,9,12,18,4,9,9,36,36,36,9,27,1,9,12,12,12,12,1,9,
12,18,3,9,1,1,2,12,1,1,3,1,1],[1,9,90,1,9,12,18,81,9,30,3,6,9,12,18,243,324,
36,486,4,9,9,36,36,36,27,27,54,108,1,1,36,9,9,81,81,12,12,12,12,12,12,12,12,
324,324,324,1,9,12,18,9,9,36,36,36,36,3,1,1,2,3,27,3,36,4,6,54,12,1,3,3,6,12,
1,1,1,1],[1,9,1,9,12,18,9,9,9,12,18,4,9,9,36,36,36,9,9,18,1,9,12,12,12,12,1,9,
12,18,1,9,1,1,2,12,1,1,1,2,1,1],[1,9,1,9,12,18,81,9,9,12,18,4,9,9,36,36,36,27,
27,54,1,9,12,12,12,12,1,9,12,18,9,9,1,1,2,12,1,3,3,6,1,1],[1,9,1,9,12,18,27,9,
9,12,18,4,9,9,36,36,36,9,27,1,9,12,12,12,12,1,9,12,18,3,9,1,1,2,12,1,1,3,1,
1],[1,9,1,9,12,18,27,9,9,12,18,4,9,9,36,36,36,9,27,1,9,12,12,12,12,1,9,12,18,
3,9,1,1,2,12,1,1,3,1,1],[1,9,54,1,3,12,6,81,9,18,9,18,9,12,18,27,54,54,54,4,3,
3,3,3,6,27,27,54,54,3,6,6,9,9,3,3,9,3,9,18,9,12,9,9,9,1,1,2,9,9,9,18,9,1,3,1,
3,3,6,3,1,3,3,1,1,1,1],[1,27,36,1,39,81,27,12,117,117,63,13,9,27,27,135,3,9,
13,9,27,21,117,36,1,2,3,3,4,9,9,45,1,3,6,3,9,9,4,4,12,4,4,1,3,3,3,6,1,1,1,1],[
1,1,1,10,20,15,6,1,10,20,5,10,6,10,15,6,10,6,5,5,10,6,10,6,5,1,1],[1,9,30,1,
12,27,18,9,54,27,9,10,12,108,12,9,54,27,27,54,4,9,9,18,18,9,9,36,27,1,12,3,27,
4,12,18,9,9,9,18,1,1,1,1,3,3,3,3,12,9,1,1,1,1,3,3,3,3,3,3,1,1,1,1,1,1,1,3,1,1,
1,1,1,1,1,1],[1,9,30,1,4,8,9,36,27,36,27,1,9,12,9,36,12,72,27,36,27,27,54,1,4,
8,9,9,9,9,9,9,9,36,27,1,3,3,12,4,12,24,9,9,9,9,9,9,9,1,1,3,3,1,1,3,3,12,9,1,1,
1,3,1,3,3,3,3,3,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,9,36,1,12,9,54,54,9,12,12,
36,36,9,27,27,4,9,18,18,9,36,27,1,4,12,12,36,9,9,9,1,1,6,6,12,9,1,4,1,3,3,1,2,
2,3,1,1,1,1],[1,9,36,1,12,18,9,54,9,12,12,36,36,9,27,27,4,18,18,9,36,27,4,12,
12,9,9,9,1,12,9,1,4,1,2,2,1,1,1,1],[1,1,30,10,1,10,15,10,15,6,10,10,10,5,15,
15,10,15,15,15,15,30,6,12,10,10,10,10,10,10,10,15,5,15,15,15,15,15,6,6,6,5,10,
10,10,10,10,10,10,15,6,6,6,5,5,5,10,6,5,1,1,1,1,1],[1,81,1,120,81,1080,40,90,
270,90,270,1080,10,20,30,30,40,90,180,270,270,360,40,120,1,1],[1,27,1,120,9,
108,108,40,90,270,12,27,27,36,108,10,20,30,30,40,1,9,12,12,12,12,40,4,12,1,
1],[1,81,1,9,39,18,27,243,324,81,486,13,9,9,27,36,36,36,18,36,81,81,27,324,
324,324,81,1,2,3,3,4,9,12,18,6,6,6,6,3,27,9,36,9,9,9,54,1,1,2,3,6,1,3,9,1,1],[
1,27,1,9,39,18,27,27,117,54,13,9,9,27,36,36,36,18,3,9,27,36,36,36,117,1,2,3,3,
4,9,12,18,6,6,6,6,3,3,6,6,9,9,12,36,1,1,2,3,6,3,1,3,6,1,1],[1,27,1,9,39,18,9,
9,18,27,108,13,9,9,27,36,36,36,18,3,3,6,27,36,36,36,36,27,1,2,3,3,4,9,12,18,6,
6,6,6,9,9,3,3,12,3,3,18,6,6,6,6,1,1,2,3,6,3,1,3,6,1,1],[1,27,1,39,9,27,108,13,
9,27,27,3,9,27,36,27,1,2,3,3,4,9,9,9,9,9,3,3,3,3,9,9,9,9,1,3,3,6,1,3,9,1,1],[
1,9,1,9,12,18,27,27,81,9,9,12,18,81,4,9,9,36,36,36,9,27,9,27,27,27,54,1,9,12,
12,12,12,27,27,1,9,12,18,3,3,9,9,9,9,1,1,2,12,9,9,1,1,1,3,3,3,3,6,1,3,3,1,1,1,
1],[1,9,1,9,12,18,36,27,9,9,12,18,27,4,9,9,36,36,36,9,36,9,9,27,18,1,9,12,12,
12,12,9,27,1,9,12,18,1,3,3,9,9,9,1,1,2,12,3,9,1,1,1,1,1,2,3,3,1,1,3,1,1,1,1],[
1,9,1,9,12,18,27,9,27,9,9,12,18,27,4,9,9,36,36,36,9,9,9,9,18,27,27,1,9,12,12,
12,12,9,27,1,9,12,18,1,3,3,9,9,9,1,1,2,12,3,9,1,1,1,1,1,2,3,3,1,1,3,1,1,1,1],[
1,9,90,1,9,12,18,9,81,81,9,30,3,6,9,12,18,243,324,36,486,81,4,9,9,36,36,36,27,
9,9,27,18,27,27,54,54,108,1,1,36,9,9,81,81,12,12,12,12,12,12,12,12,324,324,
324,27,27,54,1,9,12,18,1,9,9,9,9,9,36,36,36,36,3,1,1,2,3,27,3,36,4,6,54,12,9,
9,1,1,1,2,3,3,3,3,6,6,12,1,1,1,3,3,6,1,1,1,1],[1,9,90,1,9,12,18,27,27,81,9,30,
3,6,9,12,18,243,324,36,486,81,4,9,9,36,36,36,9,9,27,27,27,27,54,108,1,1,36,9,
9,81,81,12,12,12,12,12,12,12,12,324,324,324,27,27,1,9,12,18,3,3,9,9,9,9,36,36,
36,36,3,1,1,2,3,27,3,36,4,6,54,12,9,9,1,1,1,3,3,3,3,6,12,1,1,1,3,3,1,1,1,1],[
1,9,1,9,12,18,27,108,9,9,12,18,81,4,9,9,36,36,36,36,9,27,27,27,54,1,9,12,12,
12,12,27,27,1,9,12,18,3,3,9,9,9,9,1,1,2,12,9,9,1,1,1,3,3,3,3,6,1,3,3,1,1,1,
1],[1,9,90,1,9,12,18,27,27,81,9,30,3,6,9,12,18,243,324,36,486,81,4,9,9,36,36,
36,9,9,27,27,27,27,54,108,1,1,36,9,9,81,81,12,12,12,12,12,12,12,12,324,324,
324,27,27,1,9,12,18,3,3,9,9,9,9,36,36,36,36,3,1,1,2,3,27,3,36,4,6,54,12,9,9,1,
1,1,3,3,3,3,6,12,1,1,1,3,3,1,1,1,1],[1,9,1,12,12,24,27,9,36,12,72,9,4,12,12,
12,12,24,27,36,12,12,12,12,9,9,18,1,4,8,1,12,9,4,3,4,1,1],[1,1,90,1,10,20,3,
15,45,6,1,30,30,60,10,20,30,60,5,45,45,10,6,36,1,10,15,15,30,30,60,6,15,10,10,
10,6,18,18,5,5,10,15,15,30,6,12,10,10,10,18,5,15,6,6,6,5,10,1,6,5,3,1,1],[1,1,
1,10,20,10,15,6,1,10,20,5,15,15,10,6,10,10,10,10,15,20,6,15,10,6,5,5,10,10,15,
15,6,10,10,10,6,5,15,6,5,10,1,6,5,1,1,1],[1,1,1,10,20,15,30,6,1,10,20,5,45,45,
10,6,10,10,15,30,30,60,6,45,10,6,5,5,10,15,15,30,6,10,10,10,18,15,15,30,6,5,
10,1,6,5,3,1,1],[1,1,9,120,18,40,9,90,270,36,36,36,72,10,20,30,30,40,9,12,18,
24,24,24,24,1,40,8,12,24,24,48,1,4,8,1],[1,81,1,120,243,81,1080,40,90,270,81,
90,270,1080,10,20,30,30,40,270,90,180,270,270,360,40,90,120,1,1,1],[1,81,1,
120,243,81,1080,40,90,270,81,90,270,1080,10,20,30,30,40,27,81,162,90,180,270,
270,360,40,9,27,54,120,1,1,1],[1,81,1,120,81,81,1080,40,90,270,81,90,270,1080,
10,20,30,30,40,9,27,90,180,270,270,360,40,9,27,54,120,1,1,1],[1,81,54,1,120,
243,81,18,1080,216,216,40,90,270,81,648,90,270,24,54,54,72,1080,216,10,20,30,
30,40,54,108,216,2,90,180,18,270,270,24,24,360,24,24,40,18,36,36,72,120,8,24,
1,24,1,2,1],[1,81,1,120,81,81,1080,40,90,270,81,90,270,1080,10,20,30,30,40,18,
18,90,180,270,270,360,40,18,18,18,36,120,1,1,1],[1,27,108,1,9,39,18,243,27,36,
9,18,27,117,54,243,351,189,486,13,9,9,27,36,36,36,18,81,81,162,405,3,3,9,39,6,
27,27,81,81,36,36,36,36,36,63,36,117,324,324,324,108,1,2,3,3,4,9,12,18,6,6,6,
6,27,27,27,108,108,135,108,3,3,3,6,6,9,9,27,9,9,12,36,12,12,12,12,12,18,54,6,
6,6,6,36,1,1,2,3,6,9,9,18,9,9,36,18,1,3,3,1,3,1,3,9,3,6,6,1,3,3,3,1,1,1,1],[1,
1,120,81,40,90,270,81,10,20,30,30,40,40,1,1],[1,9,90,1,9,12,18,27,36,27,108,
81,9,30,3,6,9,12,18,243,324,36,486,27,108,81,81,162,4,9,9,36,36,36,9,36,9,36,
9,9,27,27,18,27,27,27,27,54,54,108,81,1,1,36,9,9,81,81,12,12,12,12,12,12,12,
12,324,324,324,9,36,27,27,27,27,54,27,27,27,27,27,54,1,9,12,18,1,3,3,3,3,9,9,
9,9,9,9,9,9,9,36,36,36,36,27,27,3,1,1,2,3,27,3,36,4,6,54,12,3,3,9,9,9,9,9,9,9,
9,9,9,9,9,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,6,6,12,9,9,1,1,1,1,1,3,3,3,3,3,3,3,
3,3,3,3,3,6,1,1,1,1,1,1,1,3,3,1,1,1,1,1,1,1,1],[1,1,90,1,10,20,3,10,15,30,45,
6,1,30,30,60,10,20,30,60,5,15,15,30,45,45,45,45,90,10,6,36,1,10,10,10,10,10,
15,15,20,30,30,30,30,60,60,6,15,15,45,45,45,45,45,10,10,10,6,18,18,5,5,10,10,
10,15,15,15,15,15,15,30,30,30,30,30,30,30,60,6,12,45,10,10,10,10,10,10,10,6,
18,18,5,5,15,15,15,15,15,15,15,15,30,30,6,6,6,5,10,10,10,10,10,10,10,18,15,15,
1,6,6,6,5,5,5,10,1,3,3,6,5,1,3,1,1,1,1],[1,81,1,9,120,18,27,27,54,324,324,40,
9,90,270,36,36,36,72,9,36,72,81,81,108,108,108,108,324,10,20,30,30,40,9,12,18,
24,24,24,24,3,27,27,36,36,36,36,36,54,72,72,72,72,1,40,8,12,24,24,48,9,12,12,
24,36,72,1,4,8,3,12,24,1,1],[1,81,1,9,120,18,81,81,1080,162,40,9,90,270,36,36,
36,72,90,270,81,108,108,108,1080,10,20,30,30,40,9,12,18,24,24,24,24,9,90,180,
18,270,270,360,108,1,40,8,12,24,24,48,9,120,36,72,1,4,8,1,12,1,1],[1,81,1,9,
120,18,27,243,324,324,486,40,9,90,270,36,36,36,72,36,81,81,81,108,324,324,324,
324,10,20,30,30,40,9,12,18,24,24,24,24,3,27,27,36,36,36,36,36,54,1,40,8,12,24,
24,48,1,12,36,36,1,4,8,3,4,1,1],[1,81,1,120,243,81,1080,81,40,90,270,243,90,
270,1080,81,10,20,30,30,40,54,54,90,180,270,270,360,40,54,54,54,108,120,36,1,
1,3,1],[1,81,1,120,243,81,243,81,1080,243,40,90,270,81,81,81,90,270,1080,81,
10,20,30,30,40,9,27,270,27,81,162,90,180,270,270,360,27,81,40,90,9,9,27,27,54,
54,120,9,27,1,1,1,1,1,1],[1,81,1,120,81,486,81,1080,243,40,90,270,162,81,90,
270,1080,81,10,20,30,30,40,18,18,54,162,324,90,180,270,270,360,54,54,40,18,54,
18,18,18,108,36,120,18,18,1,1,2,1,1],[1,81,54,1,120,243,81,243,81,18,1080,216,
216,243,40,90,270,81,81,81,648,90,270,24,54,54,72,1080,216,81,10,20,30,30,40,
18,18,270,54,108,216,2,90,180,18,270,270,24,24,360,24,24,54,40,90,18,18,18,18,
36,36,36,72,120,8,24,18,1,24,1,2,1,1,1,1],[1,81,1,120,162,81,81,1080,81,40,90,
270,162,81,90,270,1080,81,10,20,30,30,40,18,18,54,18,90,180,270,270,360,18,40,
18,18,18,18,54,108,36,120,18,18,1,1,2,1,1],[1,81,1,120,81,81,1080,243,40,90,
270,81,90,270,1080,81,10,20,30,30,40,18,18,90,180,270,270,360,40,18,18,18,36,
120,18,1,1,1,1],[1,81,1,120,81,81,1080,81,40,90,270,81,90,270,1080,81,10,20,
30,30,40,18,18,90,180,270,270,360,18,40,18,18,18,36,120,18,1,1,1,1],[1,81,108,
1,120,81,486,81,36,1080,432,432,243,40,90,270,162,81,1296,90,270,48,108,108,
144,1080,432,81,10,20,30,30,40,18,18,108,216,432,4,90,180,36,270,270,48,48,
360,48,48,54,40,18,18,18,36,72,36,72,144,120,16,48,18,18,1,48,1,4,2,1,1],[1,
81,54,1,120,81,243,243,81,18,1080,216,216,243,40,90,270,81,81,81,648,90,270,
24,54,54,72,1080,216,81,10,20,30,30,40,9,27,27,81,54,108,162,216,2,90,180,18,
270,270,24,24,360,24,24,27,27,40,9,9,27,27,18,36,54,54,36,72,120,8,24,9,9,1,
24,1,2,1,1,1,1],[1,81,1,120,81,81,1080,40,90,270,81,81,90,270,1080,10,20,30,
30,40,81,90,180,270,270,360,40,120,1,1,1,1],[1,135,1,120,81,45,540,540,40,90,
270,243,81,60,135,135,180,540,10,20,30,30,40,81,5,45,60,60,60,60,40,20,60,1,5,
1,1],[1,81,1,9,120,18,243,81,81,1080,162,40,9,90,270,36,36,36,72,81,243,90,
270,81,108,108,108,1080,10,20,30,30,40,9,12,18,24,24,24,24,27,81,81,9,90,180,
18,270,270,360,108,1,40,8,12,24,24,48,9,27,81,162,9,120,36,72,1,4,8,9,1,12,1,
3,1,1],[1,81,1,9,120,18,243,81,81,1080,162,40,9,90,270,36,36,36,72,81,243,90,
270,81,108,108,108,1080,10,20,30,30,40,9,12,18,24,24,24,24,270,81,9,90,180,18,
270,270,360,108,1,40,8,12,24,24,48,90,27,9,120,36,72,1,4,8,9,1,12,1,1,1,1],[1,
81,1,9,120,18,729,81,81,1080,162,40,9,90,270,36,36,36,72,243,243,486,90,270,
81,108,108,108,1080,10,20,30,30,40,9,12,18,24,24,24,24,81,243,81,486,9,90,180,
18,270,270,360,108,1,40,8,12,24,24,48,27,81,27,162,54,9,120,36,72,1,4,8,9,1,
12,1,3,1,1],[1,81,162,1,9,120,18,729,81,54,27,54,81,1080,162,243,648,648,486,
40,9,90,270,36,36,36,72,243,243,486,1944,9,90,270,72,72,81,162,81,162,108,108,
108,108,108,216,108,1080,324,324,324,648,10,20,30,30,40,9,12,18,24,24,24,24,
81,162,324,324,324,648,324,6,9,90,180,18,54,270,27,27,270,72,36,72,360,36,72,
72,54,54,72,72,72,72,108,1,40,8,12,24,24,48,27,54,54,108,108,108,216,1,9,9,
120,24,12,24,36,36,72,72,72,1,4,8,9,36,72,1,6,4,12,12,24,1,3,12,1,1,1,1],[1,
81,1,9,120,18,243,81,81,1080,162,40,9,90,270,36,36,36,72,81,243,90,270,81,108,
108,108,1080,10,20,30,30,40,9,12,18,24,24,24,24,54,54,81,9,90,180,18,270,270,
360,108,1,40,8,12,24,24,48,9,54,54,54,108,9,120,36,72,1,4,8,9,1,12,1,3,1,1],[
1,81,1,9,120,18,81,81,81,1080,162,40,9,90,270,36,36,36,72,81,81,162,90,270,81,
108,108,108,1080,10,20,30,30,40,9,12,18,24,24,24,24,9,27,81,9,90,180,18,270,
270,360,108,1,40,8,12,24,24,48,9,9,18,27,54,9,120,36,72,1,4,8,9,1,12,1,1,1,
1],[1,81,1,9,120,18,243,81,81,1080,162,40,9,90,270,36,36,36,72,81,243,90,270,
81,108,108,108,1080,10,20,30,30,40,9,12,18,24,24,24,24,27,81,81,162,9,90,180,
18,270,270,360,108,1,40,8,12,24,24,48,9,27,27,54,9,120,36,72,1,4,8,9,1,12,1,1,
1,1],[1,81,162,1,120,243,243,729,81,54,1080,648,648,81,729,729,40,90,270,81,
243,243,1944,243,90,270,72,162,162,216,1080,648,81,243,243,10,20,30,30,40,54,
54,270,162,324,648,81,6,90,180,54,270,270,72,72,360,72,72,162,162,40,90,54,54,
54,54,108,108,108,216,120,24,72,36,54,54,54,1,72,1,6,1,3,3,1,3,3,1],[1,81,54,
1,120,243,162,81,486,243,81,18,1080,216,216,81,486,243,243,486,40,90,270,81,
162,162,81,81,648,243,90,270,24,54,54,72,1080,216,162,81,81,81,162,10,20,30,
30,40,18,18,54,18,270,54,162,54,108,324,216,81,2,90,180,18,270,270,24,24,360,
24,24,18,54,162,54,54,54,54,54,40,90,18,18,54,18,18,18,54,18,36,108,108,36,36,
72,54,120,8,24,18,18,18,18,18,18,54,18,18,1,24,18,1,2,1,2,2,1,1,2,1,1,1,2,1],[
1,81,1,120,243,486,81,1080,81,243,243,40,90,270,162,243,243,90,270,1080,81,81,
81,10,20,30,30,40,54,54,54,162,324,81,90,180,270,270,360,54,54,40,18,54,54,54,
54,108,108,120,36,18,18,18,1,1,2,3,1,1,1,1],[1,81,54,1,120,243,81,243,81,18,
1080,216,216,81,243,243,40,90,270,81,81,81,648,243,90,270,24,54,54,72,1080,
216,81,81,81,10,20,30,30,40,18,18,270,54,108,216,81,2,90,180,18,270,270,24,24,
360,24,24,18,54,40,90,18,18,18,18,36,36,36,72,120,8,24,18,18,18,1,24,1,2,1,1,
1,1,1,1,1],[1,81,108,1,120,81,486,486,81,36,1080,432,432,81,243,243,40,90,270,
162,162,81,1296,243,90,270,48,108,108,144,1080,432,81,81,81,10,20,30,30,40,18,
18,54,162,108,216,324,432,81,4,90,180,36,270,270,48,48,360,48,48,18,54,54,54,
40,18,54,18,18,18,36,72,108,36,72,144,54,120,16,48,18,18,18,18,18,1,48,18,1,4,
2,2,1,1,1,1,1],[1,81,1,120,162,243,81,1080,81,81,81,40,90,270,162,243,81,90,
270,1080,81,81,81,10,20,30,30,40,18,54,54,54,81,90,180,270,270,360,18,18,40,
18,54,54,54,54,108,108,120,36,18,18,18,1,1,2,3,1,1,1,1],[1,81,108,1,120,162,
81,486,81,36,1080,432,432,81,243,243,40,90,270,162,162,81,1296,243,90,270,48,
108,108,144,1080,432,81,81,81,10,20,30,30,40,18,18,54,18,108,216,432,81,4,90,
180,36,270,270,48,48,360,48,48,18,54,40,18,18,18,18,54,36,72,108,36,72,144,
120,16,48,18,18,18,18,18,1,48,18,1,4,2,2,1,1,1,1,1],[1,81,1,120,405,81,81,
1080,40,90,270,81,405,81,90,270,1080,81,10,20,30,30,40,81,90,90,90,180,270,
270,360,81,40,90,90,90,180,120,1,1,5,1,1,1],[1,81,270,1,120,1215,81,81,90,
1080,1080,1080,40,90,270,81,486,405,3240,81,90,270,120,270,270,360,1080,1080,
243,10,20,30,30,40,81,162,270,540,1080,10,90,180,90,270,270,120,120,360,120,
120,81,40,90,180,180,360,120,40,120,1,120,1,10,5,1,1,2,1],[1,81,1,120,243,81,
81,1080,40,90,270,81,81,81,90,270,1080,243,10,20,30,30,40,81,270,90,180,270,
270,360,81,40,90,120,1,1,1,1,1,1],[1,81,1,36,120,72,243,81,324,1080,648,81,40,
36,90,270,144,144,144,288,243,90,270,324,432,432,432,1080,81,81,162,10,20,30,
30,40,36,48,72,96,96,96,96,54,54,36,90,180,72,270,270,360,432,81,4,40,32,48,
96,96,192,54,54,54,108,36,120,144,288,36,1,16,32,1,48,36,4,3,4,1,1],[1,81,162,
1,9,120,18,243,243,729,81,54,27,54,81,1080,162,243,648,648,486,729,40,9,90,
270,36,36,36,72,81,81,243,243,243,243,486,1944,9,90,270,72,72,81,162,81,162,
108,108,108,108,108,216,108,1080,324,324,324,648,243,243,10,20,30,30,40,9,12,
18,24,24,24,24,54,54,270,81,81,162,81,324,324,324,648,324,6,9,90,180,18,54,
270,27,27,270,72,36,72,360,36,72,72,54,54,72,72,72,72,108,81,162,1,40,8,12,24,
24,48,9,90,27,54,54,54,27,54,54,108,108,108,108,216,1,9,9,120,24,12,24,36,36,
72,72,72,27,54,1,4,8,9,9,9,36,72,1,6,4,12,12,24,9,1,1,3,3,12,1,1,1,3,1,1,1,
1],[1,81,162,1,9,120,18,243,243,729,81,54,27,54,81,1080,162,243,648,648,486,
729,40,9,90,270,36,36,36,72,81,81,243,243,243,243,486,1944,9,90,270,72,72,81,
162,81,162,108,108,108,108,108,216,108,1080,324,324,324,648,243,243,10,20,30,
30,40,9,12,18,24,24,24,24,27,81,27,81,81,81,81,162,324,162,324,324,648,324,6,
9,90,180,18,54,270,27,27,270,72,36,72,360,36,72,72,54,54,72,72,72,72,108,81,
81,81,1,40,8,12,24,24,48,9,27,9,27,27,27,81,54,54,108,162,54,108,108,216,1,9,
9,120,24,12,24,36,36,72,72,72,27,27,27,1,4,8,9,9,9,36,72,1,6,4,12,12,24,9,1,1,
3,3,12,1,1,1,3,1,1,1,1],[1,81,1,9,120,18,243,81,243,81,81,1080,162,243,40,9,
90,270,36,36,36,72,81,81,81,81,162,243,243,90,270,81,108,108,108,1080,81,243,
10,20,30,30,40,9,12,18,24,24,24,24,9,27,270,27,81,81,81,81,162,9,90,180,18,
270,270,360,108,27,81,81,1,40,8,12,24,24,48,9,90,9,9,18,27,27,27,27,54,54,9,
120,36,72,9,27,27,1,4,8,9,9,9,1,12,9,1,1,1,1,1,1,1,1,1,1],[1,81,1,9,120,18,
243,972,81,81,1080,162,729,40,9,90,270,36,36,36,72,324,81,243,243,243,486,90,
270,81,108,108,108,1080,243,243,10,20,30,30,40,9,12,18,24,24,24,24,54,54,108,
81,324,81,81,648,9,90,180,18,270,270,360,108,162,162,81,1,40,8,12,24,24,48,9,
36,27,108,27,54,54,54,216,54,108,9,120,36,72,54,54,27,1,4,8,9,9,9,1,12,9,1,4,
3,1,3,1,1,1,1],[1,81,1,9,120,18,243,243,729,81,81,1080,162,729,40,9,90,270,36,
36,36,72,81,243,81,243,243,243,486,90,270,81,108,108,108,1080,243,243,10,20,
30,30,40,9,12,18,24,24,24,24,27,81,270,81,81,243,81,81,486,9,90,180,18,270,
270,360,108,81,243,81,1,40,8,12,24,24,48,90,9,27,27,27,81,27,81,162,162,54,9,
120,36,72,27,27,81,1,4,8,9,9,9,1,12,9,1,1,3,3,1,3,1,1,1,1],[1,81,1,9,120,18,
324,243,81,81,1080,162,243,40,9,90,270,36,36,36,72,81,324,81,81,243,162,90,
270,81,108,108,108,1080,81,243,10,20,30,30,40,9,12,18,24,24,24,24,36,54,108,
54,81,81,81,9,90,180,18,270,270,360,108,54,81,1,40,8,12,24,24,48,9,9,9,36,18,
54,54,54,108,216,108,9,120,36,72,9,54,54,1,4,8,9,9,9,1,12,9,1,4,3,1,3,1,1,1,
1],[1,81,162,1,9,120,18,81,729,729,81,54,27,54,81,1080,162,243,648,648,486,
729,40,9,90,270,36,36,36,72,243,81,81,243,162,243,243,486,486,1944,9,90,270,
72,72,81,162,81,162,108,108,108,108,108,216,108,1080,324,324,324,648,243,243,
486,10,20,30,30,40,9,12,18,24,24,24,24,9,27,81,81,243,81,162,81,324,486,324,
324,648,324,6,9,90,180,18,54,270,27,27,270,72,36,72,360,36,72,72,54,54,72,72,
72,72,108,81,81,81,1,40,8,12,24,24,48,9,9,27,18,81,27,27,27,54,54,108,54,162,
54,108,108,216,1,9,9,120,24,12,24,36,36,72,72,72,27,27,27,54,1,4,8,9,9,9,36,
72,1,6,4,12,12,24,9,1,3,1,3,12,1,1,1,3,1,1,1,1],[1,81,162,1,120,243,162,243,
486,729,81,54,1080,648,648,81,81,81,486,729,243,243,729,486,40,90,270,81,162,
162,243,243,1944,81,243,243,243,243,243,243,90,270,72,162,162,216,1080,648,81,
162,81,243,243,81,81,81,162,10,20,30,30,40,243,18,54,54,54,270,54,162,162,324,
324,648,81,81,81,81,81,81,81,6,90,180,54,270,270,72,72,360,72,72,18,54,18,162,
54,54,162,162,54,54,40,81,90,18,18,54,54,54,54,54,54,108,108,108,108,108,216,
54,54,120,24,72,18,36,18,18,18,18,18,54,18,18,54,54,54,18,1,72,18,18,18,1,6,1,
2,2,3,3,1,2,1,3,1,1,1,3,2,1,1,1,1,1,1,1,1],[1,81,1,120,405,81,81,1080,405,40,
90,270,81,405,81,90,270,1080,81,405,10,20,30,30,40,81,90,90,81,90,180,270,270,
360,81,90,40,90,90,90,180,81,120,90,1,1,5,1,5,1,1,1],[1,81,270,1,120,243,405,
1215,81,81,90,1080,1080,1080,1215,40,90,270,81,486,81,405,405,3240,81,90,270,
120,270,270,360,1080,1080,81,243,243,405,10,20,30,30,40,81,162,90,90,270,270,
540,1080,243,10,90,180,90,270,270,120,120,360,120,120,81,81,81,270,40,90,90,
90,90,90,180,180,180,360,81,120,40,120,90,1,120,1,10,1,5,5,1,5,1,2,1,1,1,1],[
1,81,1,120,405,81,81,1080,1215,40,90,270,81,405,81,90,270,1080,81,405,10,20,
30,30,40,81,90,90,243,90,180,270,270,360,81,40,90,90,90,180,81,120,90,1,1,5,1,
5,1,1,1],[1,81,1,36,120,72,243,1458,81,324,1080,648,81,729,729,40,36,90,270,
144,144,144,288,486,243,972,1944,729,90,270,324,432,432,432,1080,81,81,162,
243,243,10,20,30,30,40,36,48,72,96,96,96,96,54,54,162,486,324,972,243,243,486,
36,90,180,72,270,270,360,432,81,162,162,4,40,32,48,96,96,192,54,162,108,54,54,
54,324,216,108,81,36,120,144,288,36,54,54,54,1,16,32,36,1,48,36,4,6,3,4,1,3,3,
4,3,1,1],[1,81,162,1,36,120,72,243,243,729,81,54,324,1080,648,648,648,81,729,
729,40,36,90,270,144,144,144,288,81,243,243,972,1944,243,90,270,72,324,162,
162,432,432,432,216,1080,648,81,81,162,243,243,10,20,30,30,40,36,48,72,96,96,
96,96,54,54,270,324,162,324,648,81,243,6,36,90,180,72,54,270,270,72,72,360,72,
72,432,81,162,162,4,40,32,48,96,96,192,90,108,54,54,54,54,108,108,108,216,81,
36,120,24,144,72,288,36,54,54,54,1,16,32,36,72,1,6,48,36,4,1,3,3,4,1,3,3,4,1,
1,1],[1,81,1,36,120,72,486,243,81,324,1080,648,81,243,243,40,36,90,270,144,
144,144,288,324,486,243,243,90,270,324,432,432,432,1080,81,81,162,243,243,10,
20,30,30,40,36,48,72,96,96,96,96,54,54,162,54,324,81,243,36,90,180,72,270,270,
360,432,54,54,81,4,40,32,48,96,96,192,36,54,54,54,54,162,324,108,81,36,120,
144,288,36,54,54,54,1,16,32,36,1,48,36,4,6,3,4,1,3,3,4,3,1,1],[1,81,162,1,9,
120,18,243,324,243,972,729,81,54,27,54,81,1080,162,243,648,648,486,243,972,
729,729,1458,40,9,90,270,36,36,36,72,81,324,81,324,81,81,243,243,162,243,243,
243,243,486,486,1944,729,9,90,270,72,72,81,162,81,162,108,108,108,108,108,216,
108,1080,324,324,324,648,81,324,243,243,243,243,486,243,243,243,243,243,486,
10,20,30,30,40,9,12,18,24,24,24,24,36,54,108,54,270,108,81,81,81,324,81,81,
162,81,81,324,648,324,324,648,324,243,243,6,9,90,180,18,54,270,27,27,270,72,
36,72,360,36,72,72,54,54,72,72,72,72,108,54,108,81,324,162,162,81,81,81,162,
81,162,162,81,81,1,40,8,12,24,24,48,9,9,90,9,36,36,18,27,27,108,27,54,54,54,
27,108,54,54,108,216,216,54,108,108,108,216,162,81,1,9,9,120,24,12,24,36,36,
72,72,72,36,9,27,54,54,54,27,27,27,27,54,27,54,108,54,54,54,1,4,8,9,9,9,9,9,9,
9,36,72,54,27,1,6,4,12,12,24,9,9,9,9,9,9,9,1,1,4,4,3,3,12,9,1,1,1,4,3,3,3,6,1,
1,1,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,81,270,1,120,243,405,1215,81,81,90,1080,
1080,1080,405,1215,1215,40,90,270,81,486,81,405,405,3240,81,1215,90,270,120,
270,270,360,1080,1080,81,243,243,405,405,405,10,20,30,30,40,81,162,90,90,270,
270,540,1080,81,243,243,405,10,90,180,90,270,270,120,120,360,120,120,81,81,81,
90,270,243,40,90,90,90,90,90,180,180,180,360,81,81,81,120,40,120,90,90,90,81,
1,120,1,10,1,5,5,1,5,5,5,1,2,5,1,1,1,1,1,1,1],[1,81,162,1,36,120,72,243,486,
243,1458,729,81,54,324,1080,648,648,648,81,243,243,1458,729,729,729,729,1458,
40,36,90,270,144,144,144,288,81,486,324,486,243,243,972,972,1944,1944,243,243,
729,729,729,729,729,90,270,72,324,162,162,432,432,432,216,1080,648,81,81,486,
162,243,243,243,243,243,243,486,972,10,20,30,30,40,36,48,72,96,96,96,96,729,
54,54,162,54,270,162,324,486,324,162,324,324,972,648,81,81,243,243,243,243,
243,243,243,243,486,6,36,90,180,72,54,270,270,72,72,360,72,72,432,54,162,54,
81,486,162,162,162,324,162,162,162,4,40,32,48,96,96,192,243,243,90,36,54,54,
108,162,108,54,54,54,162,54,108,324,324,216,108,108,216,81,81,81,162,162,36,
120,24,144,72,288,54,36,54,54,54,54,54,108,54,54,54,162,54,54,54,1,16,32,81,
36,36,36,72,54,54,54,1,6,48,36,36,4,1,6,6,3,3,4,1,6,3,3,3,3,3,3,6,4,4,4,1,3,3,
3,3,3,3,1,4,3,1,1,1,1],[1,81,1,90,120,180,1215,486,81,810,1080,1620,405,40,90,
90,270,360,360,360,720,486,810,1215,486,90,270,810,1080,1080,1080,1080,486,
405,405,810,10,20,30,30,40,90,120,180,240,240,240,240,486,270,270,810,90,90,
180,180,270,270,360,1080,486,405,10,40,80,120,240,240,480,90,270,270,270,540,
81,90,120,360,720,180,1,40,80,90,81,1,120,180,10,15,6,10,5,6,10,6,5,1],[1,81,
810,1,90,120,180,243,1215,3645,486,81,270,270,540,810,1080,1620,2430,3240,
3240,4860,405,3645,3645,40,90,90,270,360,360,360,720,486,2916,81,810,1215,
1215,2430,2430,4860,9720,486,1215,90,90,270,360,720,810,810,810,810,1080,1080,
1080,1080,1080,1080,1080,1080,3240,3240,3240,3240,486,1458,1458,405,405,810,
1215,1215,2430,10,20,30,30,40,90,120,180,240,240,240,240,486,972,270,270,270,
810,810,810,810,1620,3240,3240,3240,3240,1458,405,1215,30,90,90,180,180,270,
270,270,270,270,360,360,360,360,360,360,360,540,540,720,720,720,720,1080,486,
486,486,405,810,810,810,10,40,80,120,240,240,480,90,90,270,270,270,270,270,
270,540,540,540,540,1080,1080,81,486,405,10,90,90,120,120,120,240,360,360,360,
720,720,180,270,270,270,270,243,1,40,80,90,90,90,360,360,81,1,30,40,120,120,
240,90,180,81,10,1,15,15,120,6,10,10,10,5,15,15,6,12,10,10,10,5,6,6,6,5,10,6,
5,1,1],[1,81,1,90,120,180,1215,2430,486,81,810,1080,1620,405,3645,3645,40,90,
90,270,360,360,360,720,486,810,810,1215,2430,2430,4860,486,3645,90,270,810,
1080,1080,1080,1080,486,405,405,810,1215,1215,2430,10,20,30,30,40,90,120,180,
240,240,240,240,486,270,270,270,810,810,810,810,1620,1458,1215,1215,2430,90,
90,180,180,270,270,360,1080,486,405,810,810,810,10,40,80,120,240,240,480,90,
90,270,270,270,270,270,270,540,540,540,81,486,405,90,120,360,720,180,270,270,
270,270,243,1,40,80,90,90,90,81,1,120,90,180,81,10,10,15,6,10,5,15,15,6,10,10,
10,15,6,5,10,6,5,1,1],[1,81,1,90,120,180,810,1215,486,81,810,1080,1620,405,
1215,1215,40,90,90,270,360,360,360,720,486,810,810,810,810,1215,1620,486,1215,
90,270,810,1080,1080,1080,1080,486,405,405,810,810,1215,1215,10,20,30,30,40,
90,120,180,240,240,240,240,486,90,270,270,270,810,810,810,486,405,1215,90,90,
180,180,270,270,360,1080,486,270,270,405,810,10,40,80,120,240,240,480,90,90,
90,90,180,270,270,270,270,540,540,81,486,405,90,120,360,720,90,180,270,270,
270,81,1,40,80,90,90,90,81,1,120,90,180,81,10,10,15,6,10,5,15,15,6,10,10,10,
15,6,5,10,6,5,1,1],[1,81,810,1,90,120,180,243,810,1215,2430,3645,486,81,270,
270,540,810,1080,1620,2430,3240,3240,4860,405,1215,1215,2430,3645,3645,3645,
3645,7290,40,90,90,270,360,360,360,720,486,2916,81,810,810,810,810,810,1215,
1215,1620,2430,2430,2430,2430,4860,4860,9720,486,1215,1215,3645,3645,3645,
3645,3645,90,90,270,360,720,810,810,810,810,1080,1080,1080,1080,1080,1080,
1080,1080,3240,3240,3240,3240,486,1458,1458,405,405,810,810,810,1215,1215,
1215,1215,1215,1215,2430,2430,2430,2430,2430,2430,2430,4860,10,20,30,30,40,90,
120,180,240,240,240,240,486,972,3645,90,270,270,270,270,270,810,810,810,810,
810,810,810,810,810,1620,1620,3240,3240,3240,3240,486,1458,1458,405,405,1215,
1215,1215,1215,1215,1215,1215,1215,2430,2430,30,90,90,180,180,270,270,270,270,
270,360,360,360,360,360,360,360,540,540,720,720,720,720,1080,486,486,486,270,
270,270,405,810,810,810,810,810,810,810,810,810,810,810,810,810,810,1458,10,
40,80,120,240,240,480,1215,1215,90,90,90,90,90,90,180,270,270,270,270,270,270,
270,270,270,270,540,540,540,540,540,540,540,1080,1080,81,486,486,486,405,405,
405,810,810,810,10,90,90,120,120,120,240,360,360,360,720,720,90,90,180,270,
270,270,270,270,270,270,270,270,270,270,270,270,270,270,270,270,270,540,81,
243,243,486,1,40,80,405,90,90,90,90,90,90,90,360,360,81,270,270,270,270,243,1,
30,40,120,120,240,90,90,90,90,90,90,90,180,81,81,81,10,1,10,10,15,15,120,6,90,
81,10,10,10,5,10,15,15,15,15,15,15,30,6,12,10,10,10,10,10,10,10,5,15,15,15,15,
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]],
[1,2,2,3,3,3,3,4,4,4,4,4,5,6,6,6,6,6,6,6,6,6,6,6,8,8,8,8,8,8,8,8,8,9,9,9,9,9,
9,9,9,10,10,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,15,16,16,16,16,16,
16,16,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,20,20,20,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,27,27,27,27,27,27,27,
27,27,27,27,27,30,30,32,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,40,40,40,48,48,48,48,48,48,48,48,48,48,48,48,54,54,54,54,54,54,54,54,
54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,60,60,60,72,72,72,72,72,72,72,
72,72,72,72,72,72,72,72,72,72,72,80,81,81,81,81,81,81,81,96,96,108,108,108,
108,108,108,108,108,108,108,108,108,108,108,108,108,108,108,108,108,108,108,
108,108,108,108,120,120,120,120,144,144,144,144,144,144,162,162,162,162,162,
162,162,162,162,162,162,162,216,216,216,216,216,216,216,216,216,216,216,216,
216,216,216,216,216,216,216,216,216,216,240,240,240,240,243,243,243,288,324,
324,324,324,324,324,324,324,324,360,432,432,432,432,480,486,486,486,486,486,
486,648,648,648,648,648,648,648,648,720,720,720,729,972,972,972,972,972,972,
1215,1296,1440,1458,1458,1458,1944,1944,1944,1944,1944,1944,1944,1944,1944,
2430,2430,2916,2916,2916,2916,2916,2916,2916,3888,3888,3888,3888,3888,3888,
3888,4860,4860,4860,5832,5832,5832,5832,5832,5832,5832,5832,7776,9720,9720,
9720,11664,11664,11664,11664,19440,23328,29160,58320,58320,58320,116640],
[390,336,250,390,335,333,319,309,251,216,161,125,290,336,305,306,286,251,241,
202,161,141,138,110,294,216,216,161,125,125,125,125,65,354,335,335,307,297,
297,297,264,290,149,336,251,251,251,251,251,216,216,202,161,161,161,161,110,
110,59,290,216,215,125,125,125,125,125,335,335,307,303,264,251,250,251,250,
241,241,234,241,231,233,234,241,143,144,146,141,290,207,207,294,294,251,251,
248,216,216,216,216,216,216,161,157,161,161,161,161,161,110,383,368,364,362,
354,335,333,319,315,315,314,315,290,245,125,335,305,305,307,306,306,251,251,
251,250,251,251,250,251,251,197,196,143,144,145,146,290,207,207,294,294,215,
216,216,216,215,216,216,216,160,161,359,335,335,323,319,305,307,306,306,308,
303,302,303,302,297,303,303,286,286,264,264,264,264,241,290,290,290,305,306,
307,294,251,250,250,252,252,251,251,251,250,251,250,250,251,251,207,383,354,
337,333,315,313,293,215,216,335,335,335,335,335,335,319,306,306,305,306,308,
307,305,306,305,305,286,284,269,271,286,267,278,241,242,336,290,290,290,294,
294,294,250,251,252,383,335,335,333,331,333,315,302,302,303,263,264,335,335,
323,306,308,305,307,307,306,308,306,306,306,307,305,306,305,305,305,308,305,
286,336,309,309,290,390,354,337,294,335,335,335,335,335,335,335,302,303,336,
305,306,307,308,309,390,359,354,333,333,315,335,335,335,335,335,335,335,323,
336,336,336,383,390,383,383,376,376,333,384,335,336,383,383,383,385,383,376,
376,376,376,376,376,359,384,378,383,383,383,383,383,383,383,385,376,376,376,
376,376,376,384,384,384,385,383,383,383,383,383,383,383,376,384,384,384,385,
385,385,383,384,385,390,390,390,390,390],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,5,7,1,6,1,5,6,1,7,2,2,1,2,2,1,2,1,1,1,1,1,1,1,
1,1,1,1,13,4,4,5,1,5,1,4,1,1,5,1,1,5,7,7,6,1,10,2,10,2,2,10,10,35,36,37,34,41,
1,1,35,36,6,6,7,6,5,4,7,6,38,39,40,6,13,13,1,25,2,18,14,25,2,14,4,4,1,14,18,4,
18,5,2,5,5,7,1,4,4,1,4,1,1,1,1,4,4,4,1,60,10,36,36,36,37,36,36,1,4,4,36,35,5,
36,5,35,37,37,38,39,34,40,13,13,13,92,14,92,10,51,51,25,14,14,51,96,18,111,36,
36,112,36,4,37,116,5,113,34,117,34,115,35,34,34,7,118,41,41,41,41,6,60,13,4,
69,69,37,25,14,69,69,70,70,18,35,73,36,35,36,36,73,35,42,1,4,4,34,34,34,34,92,
51,116,36,111,116,36,111,36,36,36,111,116,113,37,36,116,36,111,118,113,113,
114,118,112,114,117,115,243,13,60,60,92,192,93,69,73,129,208,35,36,209,111,
211,212,115,117,34,112,41,164,163,165,69,171,164,168,37,116,113,116,116,163,
168,69,163,111,164,111,171,111,118,243,243,243,123,4,34,34,192,111,111,208,36,
208,116,116,211,209,243,164,163,229,228,243,291,111,208,209,211,212,255,163,
164,208,208,255,208,267,304,243,304,111,291,291,291,291,291,292,291,255,304,
327,291,208,310,310,310,291,310,291,291,310,291,291,334,327,291,327,327,327,
291,291,310,310,332,310,332,332,332,334,334,291,340,327,327,310,338,338,338,
327,332,334,334,334,368,340,368,338,349,368,386,386,386,386,386],
[( 1, 74, 53, 19)( 2,109, 54, 20)( 3, 76, 55, 21)( 4,110, 56, 22)
( 5,111, 57, 23)( 6,112, 58, 24)( 7,113, 59, 25)( 8,114, 60, 26)
( 9,115, 61, 27)( 10, 46, 62, 28)( 11,116, 63, 29)( 12, 98, 64, 30)
( 13,117, 65, 31)( 14,118, 66, 32)( 15,119, 67, 33)( 16, 89, 43, 34)
( 17, 87, 41, 35)( 18,120, 68, 36)( 37,211,150, 83)( 38,100,151, 84)
( 39,212,152, 85)( 40,213,153, 86)( 42,214,154, 88)( 44,215,155, 90)
( 45,216,156, 91)( 47,144,157, 92)( 48,164,158, 93)( 49,217,159, 94)
( 50,193,160, 95)( 51,203,147, 96)( 52,218,161, 97)( 69,105,183,122)
( 70,228,196,132)( 71,106,197,133)( 72,223,168,134)( 73,174,185,124)
( 75,175,198,135)( 77,143,188,129)( 78,237,199,136)( 79,180,146,127)
( 80,231,200,137)( 81,202,201,138)( 82,172,104,121)( 99,166,163,103)
(101,130,162,170)(102,191,165,171)(107,141,167,131)(108,224,169,173)
(123,148,178,184)(125,230,182,186)(126,227,179,187)(128,222,181,145)
(139,238,210,205)(140,233,236,206)(142,232,219,207)(149,190,235,192)
(176,226,195,229)(177,209,242,221)(208,243,241,220)(225,239,234,240),
( 1,238,196,143, 76, 26, 70, 20,168, 96,133, 94,242,219,150,134,151,174, 98,
37)( 2,103, 44, 8, 31,210,149, 82, 36,177,105, 46, 10,154,239,199,222,157,
99, 38)( 3, 41, 5,223,191,123, 57, 32,188,190,122, 56,214,236,195,131, 68,
175,100, 39)( 4,186,206,243,230,228,173,213,218,234,183,211,231,178,115,233,
181,119,101, 40)( 6, 33, 34,160,162, 84, 88,106, 47, 11,155,156,146, 79, 29,
52, 18, 14, 93, 42)( 7,141, 74, 24, 59,224,167, 95,126, 61,215,220,152,129,
64,182,120,176,102, 43)( 9,198,208,140, 73, 23,109,216,164, 86,197,226,170,
114,159,232,180,117,104, 45)( 12,169, 97,209,148, 81, 35,147, 80, 30, 90,179,
116, 92,221,153,145, 78, 28, 48)( 13,111, 55, 87,227,171,125, 60,158,229,189,
121, 54,235,205,193,128, 63, 72, 22)( 15,113, 53,139, 69, 19,124, 58,163, 85,
194,130, 66, 51, 17,192,127, 62,107, 49)( 16,203,136,144, 77, 27,202,132,165,
89, 71, 21,135,184,161, 83,204,137,108, 50)( 25,118,225,166, 91,187,212,172,
112,110,241,237,201,200,240,217,185,207,142, 75)( 65, 67)],
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1,3,9,24],[1,2,3,4,6,8,9,25],[1,3,7,9,26],[1,3,4,7,8,10,27],[1,5,28],[1,4,11,
29],[1,3,11,30],[1,2,11,31],[1,32],[1,2,3,4,5,6,12,13,14,33],[1,3,5,7,34],[1,
3,5,7,12,16,17,35],[1,3,4,5,10,14,17,18,36],[1,2,3,4,5,6,13,15,17,37],[1,2,3,
4,5,6,13,16,18,38],[1,3,4,5,10,14,15,16,39],[1,3,4,5,10,12,15,18,40],[1,2,3,4,
6,8,9,19,21,25,41],[1,2,3,4,6,8,9,23,24,25,42],[1,3,4,8,9,10,21,22,23,43],[1,
3,7,9,19,23,26,44],[1,3,4,9,10,19,22,24,45],[1,3,7,8,9,21,24,26,46],[1,2,3,4,
6,7,8,9,10,20,22,25,26,27,47],[1,2,5,13,28,48],[1,3,5,16,28,49],[1,4,5,18,28,
50],[1,3,5,12,17,28,51],[1,4,5,14,15,28,52],[1,2,3,4,6,11,29,30,31,53],[1,3,8,
11,30,54],[1,3,9,11,30,55],[1,2,32,56],[1,3,5,9,17,19,57],[1,3,5,7,9,16,26,34,
58],[1,2,3,4,5,6,7,10,13,20,34,59],[1,3,4,5,7,8,10,18,27,34,60],[1,2,3,4,5,6,
7,10,12,13,14,15,16,17,18,20,33,35,36,37,38,39,40,61],[1,2,3,4,6,7,8,9,10,19,
20,21,22,23,24,25,26,27,41,42,43,44,45,46,47,62],[1,2,3,4,5,6,13,16,18,28,38,
48,49,50,63],[1,3,5,8,16,28,49,64],[1,3,5,9,16,28,49,65],[1,3,5,7,12,16,17,28,
35,49,51,66],[1,3,4,5,10,14,15,16,28,39,49,52,67],[1,3,5,9,16,28,49,68],[1,3,
5,8,16,28,49,69],[1,2,3,4,5,6,12,13,14,15,17,28,33,37,48,51,52,70],[1,3,4,5,
10,12,14,15,17,18,28,36,40,50,51,52,71],[1,2,3,4,6,8,9,11,25,29,30,31,53,54,
55,72],[1,2,3,4,5,6,8,9,13,15,17,19,21,25,37,41,57,73],[1,3,5,7,9,12,16,17,19,
23,26,35,44,57,74],[1,3,4,5,9,10,14,17,18,19,22,24,36,45,57,75],[1,2,3,4,5,6,
7,8,9,10,13,16,18,20,22,25,26,27,34,38,47,58,59,60,76],[1,11,32,77],[1,3,5,7,
11,12,30,34,78],[1,3,5,7,11,16,30,34,79],[1,3,5,9,16,23,28,49,65,80],[1,3,4,5,
9,10,14,15,16,22,28,39,49,52,65,67,81],[1,2,3,4,5,6,8,9,13,16,18,25,28,38,48,
49,50,63,64,65,82],[1,3,5,9,16,19,28,49,65,68,83],[1,3,5,7,9,12,16,17,26,28,
35,49,51,65,66,84],[1,3,5,8,9,16,21,28,49,65,69,85],[1,3,5,9,16,24,28,49,65,
86],[1,3,5,8,9,16,21,28,49,64,68,69,87],[1,3,4,5,7,8,10,12,14,15,16,17,27,28,
35,39,49,51,52,64,66,67,88],[1,2,3,4,5,6,7,10,12,13,14,15,16,17,18,20,28,33,
35,36,37,38,39,40,48,49,50,51,52,61,63,66,67,70,71,89],[1,2,3,4,5,6,8,9,13,16,
18,25,28,38,48,49,50,63,68,69,90],[1,2,3,4,5,6,7,8,9,10,12,13,14,15,16,17,18,
19,20,21,22,23,24,25,26,27,33,35,36,37,38,39,40,41,42,43,44,45,46,47,57,61,62,
73,74,75,91],[1,2,11,31,32,56,77,92],[1,3,4,5,7,8,10,11,12,15,18,27,30,34,40,
54,60,78,93],[1,3,5,7,9,11,12,16,17,26,30,34,35,55,58,78,94],[1,2,3,4,5,6,7,
10,11,12,13,14,20,29,30,31,33,34,53,59,78,95],[1,2,3,4,5,6,7,10,11,13,16,18,
20,29,30,31,34,38,53,59,79,96],[1,2,3,4,5,6,8,9,13,16,18,23,24,25,28,38,42,48,
49,50,63,64,65,80,82,86,97],[1,2,3,4,5,6,7,8,9,10,12,13,14,15,16,17,18,20,22,
25,26,27,28,33,35,36,37,38,39,40,47,48,49,50,51,52,61,63,64,65,66,67,70,71,81,
82,84,88,89,98],[1,2,3,4,5,6,8,9,13,16,18,19,21,25,28,38,41,48,49,50,63,64,65,
68,69,82,83,85,87,90,99],[1,3,5,7,8,9,12,16,17,21,24,26,28,35,46,49,51,65,66,
69,84,85,86,100],[1,3,4,5,9,10,14,15,16,19,22,24,28,39,45,49,52,65,67,68,81,
83,86,101],[1,3,4,5,8,9,10,14,15,16,21,22,23,28,39,43,49,52,65,67,69,80,81,85,
102],[1,3,5,7,9,12,16,17,19,23,26,28,35,44,49,51,65,66,68,80,83,84,103],[1,2,
3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,22,25,26,27,29,30,31,33,34,35,36,
37,38,39,40,47,53,54,55,58,59,60,61,72,76,78,93,94,95,104],[1,2,3,4,5,6,7,8,9,
10,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,33,35,36,37,38,39,40,41,
42,43,44,45,46,47,48,49,50,51,52,61,62,63,64,65,66,67,68,69,70,71,80,81,82,83,
84,85,86,87,88,89,90,97,98,99,100,101,102,103,105],[1,3,5,7,9,11,16,26,28,30,
34,49,58,68,79,106],[1,3,5,7,11,12,16,17,30,32,34,35,77,78,79,107],[1,3,5,7,9,
11,16,19,23,26,28,30,34,44,49,55,58,65,68,79,83,106,108],[1,2,3,4,5,6,7,8,9,
10,11,13,16,18,20,22,25,26,27,28,29,30,31,34,38,47,48,49,50,53,58,59,60,63,68,
69,76,79,90,96,106,109],[1,3,5,7,8,9,11,16,21,24,26,28,30,34,46,49,54,58,64,
68,69,79,87,106,110],[1,2,3,4,5,6,7,10,11,12,13,14,15,16,17,18,20,29,30,31,32,
33,34,35,36,37,38,39,40,53,56,59,61,77,78,79,92,95,96,107,111],[1,2,3,4,5,6,7,
8,9,10,11,13,16,18,19,20,21,22,23,24,25,26,27,28,29,30,31,34,38,41,42,43,44,
45,46,47,48,49,50,53,54,55,58,59,60,62,63,64,65,68,69,72,76,79,82,83,85,87,90,
96,99,106,108,109,110,112],[1,3,5,7,9,11,12,16,17,19,23,26,28,30,32,34,35,44,
49,51,55,57,58,65,66,68,74,77,78,79,80,83,84,94,103,106,107,108,113],[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]],
0,[[1],[1,1],[1,1],[1,1],[1,1],[1,1,1,1,1],[1,3,1],[1,1,1],[1,1,1],[1,1,2,1],[
1,1],[1,3,1,1],[1,1,1,1],[1,3,1,1],[1,1,1,1],[1,3,1,1],[1,1,1,1],[1,3,1,1],[1,
1,3,1],[1,1,3,3,3,1,3,1],[1,1,2,1,1],[1,1,4,1,2,1],[1,1,1,1],[1,1,1,1],[1,1,1,
1,1,1,1,1],[1,5,2,1,1],[1,3,2,1,1,1,1],[1,4,1],[1,5,1,1],[1,5,1,1],[1,1,1,1],[
1,1],[1,1,3,3,1,3,1,1,1,1],[1,3,4,1,1],[1,7,1,3,1,1,1,1],[1,1,6,1,3,1,1,1,1],[
1,1,1,1,1,1,1,1,1,1],[1,1,3,3,1,3,1,1,1,1],[1,3,4,1,3,1,1,1,1],[1,3,4,1,3,1,1,
1,1],[1,1,1,1,1,3,3,1,3,3,1],[1,1,1,1,1,1,1,1,1,1,1],[1,1,4,2,1,2,1,1,1,1],[1,
5,2,3,1,1,1,1],[1,1,4,3,2,1,1,1,1],[1,5,2,2,1,1,1,1,1],[1,1,5,5,5,2,1,1,6,2,1,
1,1,2,1],[1,1,4,4,1,1],[1,9,4,12,1,1],[1,9,4,12,1,1],[1,3,4,1,3,1,1],[1,3,4,1,
3,1,1],[1,1,5,5,5,1,1,1,1,1],[1,5,5,1,1,1],[1,5,5,1,1,1],[1,1,1,1],[1,1,4,3,4,
1,1],[1,9,4,4,3,4,3,1,1],[1,1,3,3,4,3,1,3,4,1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,
1,7,7,1,7,3,9,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,1,5,5,5,2,3,3,6,1,2,3,1,1,1,
3,1,2,1,1,1,1,1,1,1,1],[1,1,9,9,4,9,4,12,12,1,12,1,1,1,1],[1,9,4,9,12,1,1,1],[
1,9,4,9,12,1,1,1],[1,15,4,9,2,12,6,1,6,1,2,1],[1,9,6,4,9,2,6,12,1,6,1,2,1],[1,
9,4,9,12,1,1,1],[1,9,4,9,12,1,1,1],[1,1,3,3,4,3,1,4,1,3,3,1,1,3,1,1,1,1],[1,3,
12,4,9,1,1,3,3,12,1,3,3,1,1,1,1],[1,1,5,5,5,5,5,1,5,1,1,1,1,1,1,1],[1,1,1,1,4,
1,3,3,4,4,4,1,3,3,4,1,1,1],[1,13,4,6,3,4,4,4,1,3,3,4,3,1,1],[1,1,12,4,3,6,4,4,
4,1,3,3,4,3,1,1],[1,1,9,9,4,9,4,3,3,12,4,4,4,4,3,3,3,6,1,4,3,1,1,1,1],[1,11,1,
1],[1,15,10,5,6,10,6,5,1],[1,15,10,5,6,10,6,5,1],[1,9,4,9,12,9,1,1,1,1],[1,9,
12,4,9,18,4,12,12,9,1,12,1,4,1,2,1],[1,1,9,9,4,9,9,9,4,12,12,9,1,12,1,1,1,1,1,
1,1],[1,9,4,27,12,9,1,1,1,2,1],[1,21,4,18,9,4,12,12,9,1,12,1,4,1,2,1],[1,9,4,
18,9,12,9,1,1,1,2,1],[1,9,4,9,12,9,1,1,1,1],[1,9,4,18,9,12,9,1,1,1,1,1,1],[1,
15,6,4,9,9,9,2,2,6,12,6,9,1,6,6,1,2,2,1,1,1,1],[1,1,15,15,4,15,9,27,2,4,2,6,
12,6,12,9,1,2,6,6,6,12,6,6,1,1,1,2,2,6,1,1,1,2,2,1],[1,1,9,9,4,9,9,9,4,12,12,
9,1,12,1,1,1,1,1,1,1],[1,1,13,13,4,13,6,3,3,18,4,4,4,4,4,4,4,1,6,3,3,3,3,3,3,
6,4,4,4,4,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,11,11,1,1,1,1],[1,15,10,10,
5,15,15,6,10,10,10,15,6,5,10,6,5,1,1],[1,25,10,20,15,6,10,10,10,15,6,5,10,6,5,
1,1],[1,1,15,15,10,15,5,15,6,10,10,10,5,6,6,6,10,5,6,5,1,1],[1,1,15,15,10,15,
5,15,6,10,10,10,5,6,6,6,5,10,6,5,1,1],[1,1,9,9,4,9,9,9,4,12,12,9,9,9,1,12,9,1,
1,1,1,1,1,1,1,1,1],[1,1,21,21,4,21,18,9,9,54,4,4,4,12,12,12,12,18,9,9,9,18,1,
4,12,12,12,12,12,12,9,1,1,1,4,4,12,1,1,1,2,2,4,4,1,1,1,2,2,1],[1,1,9,9,4,9,27,
27,4,12,12,9,27,27,1,12,9,1,1,1,1,1,1,2,2,1,1,1,2,2,1],[1,21,4,18,18,9,4,12,
12,9,9,9,1,12,9,1,4,1,2,2,1,1,1,1],[1,9,12,4,27,18,4,12,12,9,9,9,1,12,9,1,4,1,
2,2,1,1,1,1],[1,9,12,4,18,9,18,4,12,12,9,9,9,1,12,9,1,4,1,2,2,1,1,1,1],[1,21,
4,18,27,4,12,12,9,9,9,1,12,9,1,4,1,2,2,1,1,1,1],[1,1,25,25,10,25,20,15,15,60,
6,10,10,10,10,10,10,10,20,15,15,15,30,6,6,6,10,5,10,10,10,10,10,10,15,6,6,6,5,
5,5,10,6,5,1,1,1,1,1],[1,1,21,21,4,21,18,27,27,54,4,4,4,12,12,12,12,9,18,27,9,
9,9,27,9,18,1,4,12,12,12,12,12,12,9,9,9,9,9,9,9,1,1,1,4,4,12,9,1,1,1,2,2,2,2,
4,4,1,1,1,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,45,40,30,45,36,120,45,10,36,30,
10,30,10,12,1],[1,55,55,55,66,55,55,55,66,12,55,55,12,11,11,1],[1,45,40,30,
135,36,120,45,45,45,10,36,30,45,10,36,30,10,20,12,10,1,1],[1,1,45,45,40,45,30,
45,45,90,36,40,120,120,30,45,45,45,90,10,36,36,36,30,120,45,10,10,10,36,30,30,
30,10,10,10,30,12,10,12,1,1],[1,45,40,30,90,45,36,120,45,45,45,10,36,30,45,10,
36,30,10,10,10,12,10,1,1],[1,1,55,55,55,55,55,165,66,55,55,55,55,55,55,55,55,
66,66,66,12,55,55,55,55,55,55,55,55,66,12,55,55,12,11,11,12,11,11,1,1],[1,1,
45,45,40,45,30,135,135,90,36,40,120,120,45,30,135,45,45,45,135,45,90,10,36,36,
36,30,120,45,45,45,45,45,45,45,10,10,10,36,36,36,30,30,30,45,10,10,10,20,20,
36,30,12,10,10,10,20,20,12,10,1,1,1,1,1],[1,165,220,330,495,396,220,660,660,
165,495,495,55,396,144,330,660,495,55,220,396,165,330,55,110,110,165,144,66,
132,55,55,55,66,55,11,12,11,1],[1,1,165,165,220,165,330,495,495,990,396,220,
220,220,660,660,660,660,165,330,495,495,495,495,495,495,990,55,396,396,396,
144,220,330,660,660,660,660,660,660,165,495,495,495,495,495,495,55,55,55,220,
220,396,396,396,144,165,330,330,330,660,495,55,55,55,110,110,110,110,220,220,
396,165,165,165,330,144,66,132,55,55,55,55,55,55,55,110,110,110,110,165,144,
66,66,66,132,55,55,55,55,55,55,55,66,55,11,12,11,11,11,12,11,1,1]],
[1,2,2,2,3,4,4,4,4,4,5,6,6,6,6,6,6,6,8,8,8,8,8,8,8,8,8,9,10,10,10,11,12,12,12,
12,12,12,12,12,16,16,16,16,16,16,16,18,18,18,18,18,20,20,20,22,24,24,24,24,24,
32,36,36,36,36,36,36,36,36,36,40,48,48,48,48,55,60,60,72,72,72,72,72,72,72,72,
72,72,72,96,110,120,120,120,120,144,144,144,144,144,144,144,240,288,360,660,
720,720,720,1320,1440,7920,15840],
[114,114,91,91,89,91,76,62,62,47,72,89,89,89,61,61,61,61,91,76,62,62,62,62,62,
62,47,105,72,72,72,92,89,76,61,61,61,61,61,61,91,62,62,62,62,62,62,105,105,
105,89,89,72,72,72,92,91,76,76,76,61,62,105,105,105,98,98,99,99,89,89,72,91,
91,91,76,92,104,96,105,105,105,105,105,105,105,99,98,98,99,91,92,104,104,104,
96,105,105,105,105,105,105,105,104,105,112,111,112,112,112,111,112,114,114],
[1,1,1,1,1,1,1,1,1,1,1,5,1,5,1,5,1,5,3,1,3,3,1,1,1,3,3,1,11,11,1,1,5,7,5,5,1,
5,5,5,3,1,9,9,9,9,3,1,28,28,5,5,11,11,11,1,19,34,7,34,5,9,28,28,28,28,28,28,
28,5,28,11,19,57,57,34,32,78,79,28,49,28,49,49,49,28,49,49,28,28,57,32,78,78,
78,79,28,49,49,65,65,65,65,78,65,106,107,106,106,106,107,106,113,113],
[( 1, 7, 2,19)( 3,12,10, 4)( 5,17,13,11)( 6, 9)(15,20,18,16),( 1, 2, 9, 7, 3,
10,11, 4,22,20, 8,18,15, 6,16,13, 5,12,17,21,19,14)],
[[[[]]],[[[1,1,2,1],[2,1,1,1,3,2,1,1,2,-2,3,-1,1,-2,3,-1]]],[[[1,-2]]],[[[1,1,
2,-1],[3,1,1,-1,2,1,3,1,2,-1]]],[[[2,1,1,-1,2,1,1,-1]]],[[[1,-2],[1,1,2,1],[3,
1,2,1,1,-1,2,-1,4,1,3,1,4,1]],[[1,1,2,1],[1,-2,2,1,3,2,1,1,2,-2]]],[[[1,-2],[
3,1,2,2,1,-2,2,-2,3,1]],[[2,1,1,-1,2,1],[3,1,1,-2,3,-1]]],[[[1,1]]],[[[2,1,1,
1,2,1,1,1]]],[[[1,-2],[3,1,2,2,1,-2,2,-2,3,1]],[[1,1,2,1],[1,-2,3,1,2,1,1,-1,
2,-1,3,1]]],[[[2,2,1,-1,2,1]]],[[[1,-2,2,2,1,-1,2,2,1,1]],[[1,-2],[2,1,3,1,2,
-2,1,-1,3,1]]],[[[2,1,1,-1,2,1,1,1,2,1,1,-2]]],[[[1,1,2,1],[1,-2,3,1,2,1,1,-1,
2,-1,3,1]],[[2,2,1,-1,2,-2,1,-1]]],[[[1,1,2,2,1,1,2,-1]]],[[[2,1,1,1],[3,1,2,
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1,1],[1,1,30,6,1],[1,5,30,5,25,25,1,5,25,5,1,6,5,25,5,1,5,5,5,5,1,5,5,1,1,1,1,
1,1,1],[1,1,30,1,3,5,15,1,1,10,5,15,15,1,6,1,5,5,1,15,1,3,3,5,5,5,1,2,1,3,3,5,
1,1,1,3,1,1,1,1],[1,25,1,30,25,30,6,30,1,1],[1,25,1,30,5,25,25,6,1,5,1,1],[1,
25,1,30,25,6,1,1],[1,25,125,1,30,25,30,25,150,6,30,30,1,1,1],[1,25,25,1,30,25,
30,10,25,6,30,10,1,1,1],[1,25,50,125,1,30,25,30,10,50,50,25,50,6,2,10,30,10,1,
1,2,1],[1,25,25,1,30,25,25,30,25,6,25,30,1,1,1,1],[1,75,25,1,30,125,15,75,75,
25,6,25,3,15,1,3,1,1],[1,25,125,1,30,125,25,30,25,150,6,25,30,30,1,1,1,1],[1,
25,50,25,125,125,1,30,125,25,30,10,50,50,25,10,25,25,50,150,6,25,50,2,10,30,
30,10,10,1,10,1,2,1,1,1,1],[1,25,125,1,30,125,25,30,25,150,6,25,30,30,1,1,1,
1],[1,25,25,75,1,30,25,25,30,25,25,30,75,6,25,30,25,30,1,1,1,3,1,1],[1,25,25,
125,1,30,25,25,30,125,25,25,150,6,25,30,25,30,1,1,1,1,1,1],[1,25,150,25,375,1,
30,25,250,25,30,30,150,150,125,25,75,150,6,25,50,6,30,30,25,30,1,1,6,1,3,1,2,
1],[1,25,50,25,125,125,1,30,125,125,125,25,30,10,50,50,125,25,10,25,25,50,150,
6,25,25,25,50,2,10,30,25,30,10,10,1,10,1,2,1,1,1,1,1,1,1],[1,25,150,25,75,125,
375,1,30,25,250,375,25,30,30,150,150,25,125,125,25,25,30,75,75,150,150,125,6,
25,50,75,150,6,30,30,25,25,25,30,30,30,25,1,30,1,6,1,1,3,3,1,2,3,1,1,1,1],[1,
25,25,125,1,30,25,375,25,30,125,25,25,150,125,6,25,75,30,25,30,25,1,1,1,1,1,3,
1,1],[1,25,25,125,1,30,25,125,25,30,125,25,25,150,125,6,25,25,30,25,30,25,1,1,
1,1,1,1,1,1],[1,25,150,25,75,125,375,1,30,25,250,125,375,375,25,30,30,150,150,
25,125,125,25,375,25,30,75,75,150,150,125,125,125,6,25,50,25,75,75,150,125,6,
30,30,25,25,25,75,30,30,30,25,25,25,1,30,25,1,6,1,1,3,3,1,2,1,3,3,1,1,1,3,1,1,
1,1]],
[1,2,2,3,4,4,4,5,5,6,6,8,8,8,10,10,10,10,10,12,12,12,15,16,20,20,20,20,20,20,
24,24,24,25,30,30,40,40,40,40,48,50,50,50,60,60,60,80,100,100,100,120,120,120,
125,200,240,250,250,375,500,500,500,750,750,1000,1000,1000,1500,1500,1500,
2000,3000,3000,3000,6000],
[76,57,40,57,48,41,24,76,56,57,32,41,24,24,57,56,56,40,40,57,41,41,57,24,57,
56,48,48,40,40,41,41,41,67,57,52,57,48,48,40,41,67,56,56,57,57,57,48,56,56,56,
57,57,57,76,56,57,76,67,76,76,72,72,76,73,76,72,72,76,76,76,72,76,76,76,76],
[1,1,1,1,1,1,1,1,1,1,4,1,1,1,1,9,8,1,9,4,4,1,1,2,8,9,8,1,9,9,1,4,4,1,1,23,8,8,
8,9,10,34,8,9,23,8,4,15,34,34,9,23,23,8,8,34,35,55,34,55,55,55,55,55,60,55,55,
55,60,55,60,58,60,60,55,64],
[( 1, 6, 3, 51,111, 80, 57, 34, 75, 48, 28,110,106, 72, 46, 27, 15, 8, 4,
2)( 5, 83,118, 89, 58, 97, 64, 73, 47, 53,116, 87, 81,113,100, 91, 59, 35,
19, 10)( 7,121,107, 77, 49, 54, 31, 17, 9, 66, 40, 22, 88,102,117, 96, 62,
37, 20, 13)( 11,120, 94,108, 74,124,125,119, 92,114, 99, 67, 90, 84, 63, 38,
93, 60, 39, 21)( 12, 65,109, 78, 76, 79, 50, 29, 16, 45, 26, 14, 86, 56, 33,
18,103, 69, 42, 23)( 24,112, 82, 52, 30)( 25,115, 85, 55, 32,105, 71, 44,122,
123,104, 95, 61, 36,101, 68, 41, 98, 70, 43),( 1,115,100, 67, 40, 89, 69,
99, 84, 53, 30, 16, 8, 26, 37, 55, 61, 77, 74, 47, 27, 14, 7, 3)
( 2, 23, 62, 46,111,123,116,108,117, 87, 56, 94, 60, 35, 24, 12, 6, 42,102,
68, 41, 22, 11, 5)( 4,106,105,118,119,107, 73, 79,125,124,113, 82, 76, 48,
33, 54, 43, 32, 17, 90, 58, 34, 18, 9)( 10, 45, 63,120, 97,112, 86, 80, 50,
66, 44, 25, 13, 93, 81, 51, 29, 88, 57, 75, 98, 64, 38, 20)( 15, 36, 19, 21,
31, 91, 65, 39,114, 83, 52,103, 72,109,121, 95,122, 96, 92, 59,110, 78, 49,
28)( 70,101, 71,104)],
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LIBTOM( "3^(1+4)+:2S5",
[[1],[1,2],[1,3],[1,4],[1,5],[1,6],[1,2,7],[1,2,8],[1,9],[1,2,3,10],[1,2,4,
11],[1,2,5,12],[1,2,6,13],[1,2,7,14],[1,2,7,15],[1,2,7,8,16],[1,3,5,17],[1,3,
4,6,18],[1,5,19],[1,5,20],[1,5,6,21],[1,4,5,6,22],[1,4,5,6,23],[1,3,24],[1,2,
9,25],[1,2,4,7,11,26],[1,2,3,8,10,27],[1,2,3,7,10,28],[1,2,4,8,11,29],[1,2,4,
8,11,30],[1,2,6,8,13,31],[1,3,9,32],[1,2,7,8,14,15,16,33],[1,2,5,12,19,34],[1,
2,5,12,20,35],[1,2,3,4,6,10,11,13,18,36],[1,2,4,5,6,12,13,22,37],[1,2,5,6,12,
13,21,38],[1,2,3,5,10,12,17,39],[1,2,4,5,6,11,12,23,40],[1,2,7,9,25,41],[1,2,
4,7,11,14,42],[1,2,3,7,10,14,28,43],[1,2,6,7,13,14,44],[1,2,6,7,13,14,45],[1,
2,3,7,8,10,16,27,28,46],[1,2,3,7,10,15,28,47],[1,2,4,7,8,11,16,26,29,30,48],[
1,3,5,17,19,49],[1,3,5,17,50],[1,3,5,17,51],[1,3,5,17,52],[1,3,5,17,20,53],[1,
3,5,17,54],[1,4,5,6,19,21,23,55],[1,3,4,5,6,17,18,21,22,23,56],[1,4,5,6,19,21,
22,23,57],[1,3,5,17,24,58],[1,3,5,17,24,59],[1,3,5,17,24,60],[1,3,5,17,24,
61],[1,2,3,9,10,25,32,62],[1,2,5,7,12,19,34,63],[1,2,5,8,12,19,34,64],[1,2,5,
7,12,20,35,65],[1,2,3,4,6,7,10,11,13,18,26,28,36,66],[1,2,3,4,6,8,10,11,13,18,
27,29,31,36,67],[1,2,5,8,12,20,35,68],[1,2,5,8,12,19,34,69],[1,2,3,4,6,8,10,
11,13,18,27,30,36,70],[1,2,5,8,12,20,35,71],[1,2,7,9,15,25,41,72],[1,2,6,7,8,
13,14,15,16,31,33,45,73],[1,2,6,7,8,13,14,15,16,31,33,44,74],[1,2,3,7,8,10,14,
15,16,27,28,33,43,46,47,75],[1,2,4,7,8,11,14,15,16,29,33,42,76],[1,2,3,5,10,
12,17,19,34,39,49,77],[1,2,4,5,6,11,12,19,21,23,34,40,55,78],[1,2,3,5,10,12,
17,39,50,79],[1,2,3,5,10,12,17,39,51,80],[1,2,4,5,6,12,13,19,21,22,23,34,37,
38,57,81],[1,2,3,5,10,12,17,39,52,82],[1,2,3,5,10,12,17,20,35,39,53,83],[1,2,
3,5,10,12,17,39,54,84],[1,2,3,4,5,6,10,11,12,13,17,18,21,22,23,36,37,38,39,40,
56,85],[1,2,3,7,9,10,25,28,32,41,62,86],[1,2,3,4,6,7,10,11,13,14,18,28,36,42,
43,44,45,87],[1,2,5,7,8,12,16,20,35,65,68,71,88],[1,2,5,7,8,12,16,19,34,63,64,
69,89],[1,2,3,4,6,7,8,10,11,13,16,18,26,27,28,29,30,31,36,46,48,66,67,70,90],[
1,3,4,5,6,17,18,19,21,22,23,49,55,56,57,91],[1,3,5,17,19,20,49,50,51,52,53,54,
92],[1,3,5,17,19,24,49,58,59,60,61,93],[1,3,4,5,6,17,18,21,22,23,24,54,56,61,
94],[1,3,4,5,6,17,18,21,22,23,24,51,56,61,95],[1,3,4,5,6,17,18,21,22,23,24,50,
56,61,96],[1,3,5,17,24,50,58,59,60,97],[1,3,5,17,24,51,58,59,60,98],[1,3,5,17,
24,54,58,59,60,99],[1,2,4,5,6,7,11,12,19,21,23,26,34,40,55,63,78,100],[1,2,3,
5,8,10,12,17,19,27,34,39,49,64,77,101],[1,2,4,5,6,8,11,12,19,21,23,29,34,40,
55,69,78,102],[1,2,3,5,8,10,12,17,20,27,35,39,53,68,83,103],[1,2,3,5,7,10,12,
17,28,39,52,82,104],[1,2,3,5,7,10,12,17,28,39,50,79,105],[1,2,4,5,6,8,11,12,
19,21,23,30,34,40,55,64,78,106],[1,2,3,5,8,10,12,17,20,27,35,39,53,71,83,
107],[1,2,3,5,7,10,12,17,19,28,34,39,49,63,77,108],[1,2,3,5,8,10,12,17,19,27,
34,39,49,69,77,109],[1,2,3,5,7,10,12,17,28,39,51,80,110],[1,2,3,5,7,10,12,17,
20,28,35,39,53,65,83,111],[1,2,4,5,6,8,12,13,19,21,22,23,31,34,37,38,57,69,81,
112],[1,2,4,7,9,11,14,25,26,41,42,113],[1,2,3,7,9,10,15,25,28,32,41,47,62,72,
86,114],[1,2,3,4,6,7,8,10,11,13,14,15,16,18,27,28,29,31,33,36,42,43,44,45,46,
47,67,73,74,75,76,87,115],[1,2,3,4,5,6,10,11,12,13,17,18,19,21,22,23,34,36,37,
38,39,40,49,55,56,57,77,78,81,85,91,116],[1,2,3,5,10,12,17,19,20,34,35,39,49,
50,51,52,53,54,77,79,80,82,83,84,92,117],[1,2,3,4,5,6,10,11,12,13,17,18,21,22,
23,24,36,37,38,39,40,50,56,61,79,85,96,118],[1,2,3,4,5,6,10,11,12,13,17,18,21,
22,23,24,36,37,38,39,40,51,56,61,80,85,95,119],[1,2,3,4,5,6,10,11,12,13,17,18,
21,22,23,24,36,37,38,39,40,54,56,61,84,85,94,120],[1,2,3,5,7,10,12,14,17,28,
39,43,51,80,110,121],[1,2,3,5,7,10,12,14,17,28,39,43,50,79,105,122],[1,2,3,5,
7,8,10,12,16,17,20,27,28,35,39,46,53,65,68,71,83,88,103,107,111,123],[1,2,3,5,
7,8,10,12,16,17,19,27,28,34,39,46,49,63,64,69,77,89,101,108,109,124],[1,2,3,5,
7,10,12,15,17,28,39,47,52,82,104,125],[1,2,4,5,6,7,8,11,12,16,19,21,23,26,29,
30,34,40,48,55,63,64,69,78,89,100,102,106,126],[1,2,4,7,8,9,11,14,15,16,25,26,
29,30,33,41,42,48,72,76,113,127],[1,3,5,17,19,20,49,50,51,52,53,54,92,128],[1,
3,4,5,6,17,18,19,20,21,22,23,24,49,50,51,52,53,54,55,56,57,58,59,60,61,91,92,
93,94,95,96,129],[1,3,5,17,19,20,24,49,50,51,52,53,54,58,59,60,61,92,93,97,98,
99,130],[1,2,3,4,5,6,7,10,11,12,13,17,18,19,21,22,23,26,28,34,36,37,38,39,40,
49,55,56,57,63,66,77,78,81,85,91,100,108,116,131],[1,2,3,4,5,6,8,10,11,12,13,
17,18,19,21,22,23,27,30,34,36,37,38,39,40,49,55,56,57,64,70,77,78,81,85,91,
101,106,116,132],[1,2,3,4,5,6,8,10,11,12,13,17,18,19,21,22,23,27,29,31,34,36,
37,38,39,40,49,55,56,57,67,69,77,78,81,85,91,102,109,112,116,133],[1,2,3,4,6,
7,9,10,11,13,14,18,25,26,28,32,36,41,42,43,44,45,62,66,86,87,113,134],[1,2,3,
5,10,12,17,19,20,34,35,39,49,50,51,52,53,54,77,79,80,82,83,84,92,117,128,
135],[1,2,3,4,5,6,10,11,12,13,17,18,19,20,21,22,23,24,34,35,36,37,38,39,40,49,
50,51,52,53,54,55,56,57,58,59,60,61,77,78,79,80,81,82,83,84,85,91,92,93,94,95,
96,116,117,118,119,120,129,136],[1,2,3,4,5,6,7,10,11,12,13,14,17,18,21,22,23,
24,28,36,37,38,39,40,42,43,44,45,51,56,61,80,85,87,95,110,119,121,137],[1,2,3,
4,5,6,7,8,10,11,12,13,16,17,18,19,21,22,23,26,27,28,29,30,31,34,36,37,38,39,
40,46,48,49,55,56,57,63,64,66,67,69,70,77,78,81,85,89,90,91,100,101,102,106,
108,109,112,116,124,126,131,132,133,138],[1,2,3,4,5,6,7,10,11,12,13,14,17,18,
21,22,23,24,28,36,37,38,39,40,42,43,44,45,50,56,61,79,85,87,96,105,118,122,
139],[1,2,3,4,6,7,8,9,10,11,13,14,15,16,18,25,26,27,28,29,30,31,32,33,36,41,
42,43,44,45,46,47,48,62,66,67,70,72,73,74,75,76,86,87,90,113,114,115,127,134,
140],[1,3,4,5,6,17,18,19,20,21,22,23,24,49,50,51,52,53,54,55,56,57,58,59,60,
61,91,92,93,94,95,96,97,98,99,128,129,130,141],[1,2,3,5,8,10,12,17,19,20,27,
34,35,39,49,50,51,52,53,54,64,68,69,71,77,79,80,82,83,84,92,101,103,107,109,
117,128,135,142],[1,2,3,5,7,10,12,17,19,20,28,34,35,39,49,50,51,52,53,54,63,
65,77,79,80,82,83,84,92,104,105,108,110,111,117,128,135,143],[1,3,5,9,17,19,
20,32,49,50,51,52,53,54,92,128,144],[1,2,3,4,5,6,10,11,12,13,17,18,19,20,21,
22,23,24,34,35,36,37,38,39,40,49,50,51,52,53,54,55,56,57,58,59,60,61,77,78,79,
80,81,82,83,84,85,91,92,93,94,95,96,97,98,99,116,117,118,119,120,128,129,130,
135,136,141,145],[1,2,3,5,7,10,12,14,17,19,20,28,34,35,39,43,49,50,51,52,53,
54,63,65,77,79,80,82,83,84,92,104,105,108,110,111,117,121,122,128,135,143,
146],[1,2,3,5,7,8,10,12,16,17,19,20,27,28,34,35,39,46,49,50,51,52,53,54,63,64,
65,68,69,71,77,79,80,82,83,84,88,89,92,101,103,104,105,107,108,109,110,111,
117,123,124,128,135,142,143,147],[1,2,3,5,7,10,12,15,17,19,20,28,34,35,39,47,
49,50,51,52,53,54,63,65,77,79,80,82,83,84,92,104,105,108,110,111,117,125,128,
135,143,148],[1,2,3,5,9,10,12,17,19,20,25,32,34,35,39,49,50,51,52,53,54,62,77,
79,80,82,83,84,92,117,128,135,144,149],[1,2,3,4,5,6,7,10,11,12,13,17,18,19,20,
21,22,23,24,26,28,34,35,36,37,38,39,40,49,50,51,52,53,54,55,56,57,58,59,60,61,
63,65,66,77,78,79,80,81,82,83,84,85,91,92,93,94,95,96,97,98,99,100,104,105,
108,110,111,116,117,118,119,120,128,129,130,131,135,136,141,143,145,150],[1,2,
3,4,5,6,8,10,11,12,13,17,18,19,20,21,22,23,24,27,29,31,34,35,36,37,38,39,40,
49,50,51,52,53,54,55,56,57,58,59,60,61,64,67,68,69,71,77,78,79,80,81,82,83,84,
85,91,92,93,94,95,96,97,98,99,101,102,103,107,109,112,116,117,118,119,120,128,
129,130,133,135,136,141,142,145,151],[1,2,3,4,5,6,8,10,11,12,13,17,18,19,20,
21,22,23,24,27,30,34,35,36,37,38,39,40,49,50,51,52,53,54,55,56,57,58,59,60,61,
64,68,69,70,71,77,78,79,80,81,82,83,84,85,91,92,93,94,95,96,97,98,99,101,103,
106,107,109,116,117,118,119,120,128,129,130,132,135,136,141,142,145,152],[1,2,
3,5,7,8,10,12,14,15,16,17,19,20,27,28,33,34,35,39,43,46,47,49,50,51,52,53,54,
63,64,65,68,69,71,75,77,79,80,82,83,84,88,89,92,101,103,104,105,107,108,109,
110,111,117,121,122,123,124,125,128,135,142,143,146,147,148,153],[1,2,3,5,7,9,
10,12,17,19,20,25,28,32,34,35,39,41,49,50,51,52,53,54,62,63,65,77,79,80,82,83,
84,86,92,104,105,108,110,111,117,128,135,143,144,149,154],[1,2,3,4,5,6,7,10,
11,12,13,14,17,18,19,20,21,22,23,24,28,34,35,36,37,38,39,40,42,43,44,45,49,50,
51,52,53,54,55,56,57,58,59,60,61,63,65,77,78,79,80,81,82,83,84,85,87,91,92,93,
94,95,96,97,98,99,104,105,108,110,111,116,117,118,119,120,121,122,128,129,130,
135,136,137,139,141,143,145,146,155],[1,2,3,4,5,6,7,8,10,11,12,13,16,17,18,19,
20,21,22,23,24,26,27,28,29,30,31,34,35,36,37,38,39,40,46,48,49,50,51,52,53,54,
55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,77,78,79,80,81,82,83,84,85,88,
89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,
111,112,116,117,118,119,120,123,124,126,128,129,130,131,132,133,135,136,138,
141,142,143,145,147,150,151,152,156],[1,2,3,5,7,9,10,12,15,17,19,20,25,28,32,
34,35,39,41,47,49,50,51,52,53,54,62,63,65,72,77,79,80,82,83,84,86,92,104,105,
108,110,111,114,117,125,128,135,143,144,148,149,154,157],[1,2,3,4,5,6,7,8,10,
11,12,13,14,15,16,17,18,19,20,21,22,23,24,27,28,29,31,33,34,35,36,37,38,39,40,
42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,67,68,69,71,
73,74,75,76,77,78,79,80,81,82,83,84,85,87,88,89,91,92,93,94,95,96,97,98,99,
101,102,103,104,105,107,108,109,110,111,112,115,116,117,118,119,120,121,122,
123,124,125,128,129,130,133,135,136,137,139,141,142,143,145,146,147,148,151,
153,155,158],[1,2,3,4,5,6,7,9,10,11,12,13,14,17,18,19,20,21,22,23,24,25,26,28,
32,34,35,36,37,38,39,40,41,42,43,44,45,49,50,51,52,53,54,55,56,57,58,59,60,61,
62,63,65,66,77,78,79,80,81,82,83,84,85,86,87,91,92,93,94,95,96,97,98,99,100,
104,105,108,110,111,113,116,117,118,119,120,121,122,128,129,130,131,134,135,
136,137,139,141,143,144,145,146,149,150,154,155,159],[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]],
0,[[1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1,1],[1,1,1],[1,1],[1,1,1,1],[1,1,1,
1],[1,3,1,1],[1,1,1,1],[1,1,3,1],[1,1,1,1],[1,1,1,2,1],[1,1,3,1],[1,1,1,2,1],[
1,4,1],[1,4,1],[1,1,3,1],[1,2,1,1,1],[1,1,1,2,1],[1,1,1],[1,1,1,1],[1,1,1,3,1,
1],[1,1,1,3,1,1],[1,1,1,1,1,1],[1,1,1,3,1,1],[1,1,1,1,1,1],[1,1,1,3,1,1],[1,1,
1,1],[1,1,3,2,1,1,1,1],[1,9,4,12,1,1],[1,9,4,12,1,1],[1,1,1,1,2,1,1,2,1,1],[1,
3,2,1,1,1,3,1,1],[1,3,1,3,1,3,1,1],[1,3,1,3,3,1,1,1],[1,3,1,1,2,3,1,1,1],[1,1,
5,1,1,1],[1,1,4,3,4,1,1],[1,1,1,3,1,1,3,1],[1,1,4,3,4,1,1],[1,1,4,3,4,1,1],[1,
1,1,1,6,1,3,2,1,1],[1,1,1,1,1,3,1,1],[1,1,1,3,4,1,3,1,1,1,1],[1,1,12,4,9,1],[
1,1,12,4,1],[1,1,12,4,1],[1,1,12,4,1],[1,1,12,4,9,1],[1,1,12,4,1],[1,1,4,8,1,
8,4,1],[1,1,3,3,6,1,3,3,3,3,1],[1,4,4,5,1,2,6,4,1],[1,1,3,1,3,1],[1,1,3,1,3,
1],[1,1,3,1,3,1],[1,1,3,1,3,1],[1,1,1,1,1,1,1,1],[1,9,4,9,12,1,1,1],[1,9,4,9,
12,1,1,1],[1,9,4,9,12,1,1,1],[1,1,1,1,2,3,1,1,2,1,1,3,1,1],[1,1,1,1,2,9,1,1,2,
1,3,3,6,1,1],[1,9,4,9,12,1,1,1],[1,9,4,9,12,1,1,1],[1,1,1,1,2,3,1,1,2,1,1,3,1,
1],[1,9,4,9,12,1,1,1],[1,1,5,1,5,1,1,1],[1,1,4,3,6,4,1,3,3,4,3,1,1],[1,1,4,3,
6,4,1,3,3,4,3,1,1],[1,1,1,3,6,1,1,3,3,2,3,3,1,1,1,1],[1,1,4,3,6,4,1,3,3,4,3,1,
1],[1,9,1,12,9,12,4,9,1,12,1,1],[1,9,1,4,8,9,12,1,8,4,1,12,1,1],[1,9,1,12,9,
12,4,12,1,1],[1,9,1,12,9,12,4,12,1,1],[1,9,4,4,5,12,9,1,2,6,4,1,6,6,1,1],[1,9,
1,12,9,12,4,12,1,1],[1,9,1,12,9,12,4,9,1,12,1,1],[1,9,1,12,9,12,4,12,1,1],[1,
3,1,3,3,6,3,3,1,6,1,3,3,3,3,3,1,1,1,1,1,1],[1,1,1,5,1,1,1,5,1,1,1,1],[1,1,1,4,
8,3,1,4,8,1,4,3,4,1,1,1,1,1],[1,9,4,9,18,12,9,1,1,1,1,1,1],[1,9,4,9,18,12,9,1,
1,1,1,1,1],[1,1,1,1,2,3,12,1,1,2,9,1,1,4,3,3,3,6,1,3,3,1,1,1,1],[1,1,9,12,18,
4,9,9,36,36,36,1,9,12,18,1],[1,1,39,13,9,27,1,1,1,3,3,4,1],[1,1,12,4,9,9,1,3,
3,3,3,1],[1,1,3,12,6,4,3,3,3,3,6,1,1,2,1],[1,1,3,12,6,4,3,3,3,3,6,1,1,2,1],[1,
1,3,12,6,4,3,3,3,3,6,1,1,2,1],[1,1,12,4,9,1,1,1,1,1],[1,1,12,4,9,1,1,1,1,1],[
1,1,12,4,9,1,1,1,1,1],[1,9,1,4,8,27,9,12,1,8,4,9,1,12,1,3,1,1],[1,9,1,12,27,9,
12,4,9,9,1,12,1,3,1,1],[1,9,1,4,8,27,9,12,1,8,4,9,1,12,1,3,1,1],[1,9,1,12,27,
9,12,4,9,9,1,12,1,3,1,1],[1,9,1,12,9,9,12,4,9,12,1,1,1],[1,9,1,12,9,9,12,4,9,
12,1,1,1],[1,9,1,4,8,9,9,12,1,8,4,9,1,12,1,1,1,1],[1,9,1,12,27,9,12,4,9,9,1,
12,1,3,1,1],[1,9,1,12,9,9,12,4,9,9,1,12,1,1,1,1],[1,9,1,12,27,9,12,4,9,9,1,12,
1,3,1,1],[1,9,1,12,9,9,12,4,9,12,1,1,1],[1,9,1,12,9,9,12,4,9,9,1,12,1,1,1,1],[
1,9,4,4,5,27,12,9,1,2,6,4,9,1,6,6,1,3,1,1],[1,1,10,15,6,10,5,6,10,6,5,1],[1,1,
1,5,1,1,15,1,5,1,1,5,1,3,1,1],[1,1,1,4,8,3,18,1,4,8,1,9,9,4,6,3,12,24,9,4,1,1,
1,1,3,3,4,3,3,3,3,1,1],[1,9,1,9,12,18,9,9,12,18,4,9,9,36,36,36,1,9,12,12,12,
12,1,9,12,18,1,1,2,12,1,1],[1,27,1,39,27,117,13,9,27,3,9,117,1,1,1,3,3,4,3,3,
3,9,9,12,1,1],[1,9,1,3,12,6,9,9,12,18,4,3,3,3,3,6,9,3,3,12,3,1,1,2,1,3,1,1],[
1,9,1,3,12,6,9,9,12,18,4,3,3,3,3,6,9,3,3,12,3,1,1,2,1,3,1,1],[1,9,1,3,12,6,9,
9,12,18,4,3,3,3,3,6,9,3,3,12,3,1,1,2,1,3,1,1],[1,9,1,12,27,9,12,9,4,27,12,9,1,
1,3,1],[1,9,1,12,27,9,12,9,4,27,12,9,1,1,3,1],[1,9,1,12,9,54,9,12,27,4,9,18,9,
1,12,9,1,1,3,3,1,3,1,1,1,1],[1,9,1,12,9,54,9,12,27,4,9,18,9,1,12,9,1,1,3,3,1,
3,1,1,1,1],[1,9,1,12,9,9,12,27,4,9,12,9,1,1,1,1],[1,9,1,4,8,27,36,9,12,27,1,8,
4,9,9,9,1,12,9,1,3,1,3,1,3,1,1,1,1],[1,1,10,15,10,6,10,5,15,15,6,10,10,10,15,
6,5,10,6,5,1,1],[1,1,120,40,90,270,10,10,10,30,30,40,40,1],[1,1,9,39,18,13,9,
9,27,36,36,36,18,1,1,1,3,3,4,9,12,18,6,6,6,6,1,1,2,3,3,3,1],[1,1,39,13,9,27,
27,1,1,1,3,3,4,9,9,9,9,1,3,3,3,3,1],[1,9,1,9,12,18,27,9,9,12,18,4,9,9,36,36,
36,9,27,1,9,12,12,12,12,1,9,12,18,3,9,1,1,2,12,1,1,3,1,1],[1,9,1,9,12,18,27,9,
9,12,18,4,9,9,36,36,36,9,27,1,9,12,12,12,12,1,9,12,18,3,9,1,1,2,12,1,1,3,1,
1],[1,9,1,9,12,18,81,9,9,12,18,4,9,9,36,36,36,27,27,54,1,9,12,12,12,12,1,9,12,
18,9,9,1,1,2,12,1,3,3,6,1,1],[1,1,1,10,20,15,6,1,10,20,5,10,6,10,15,6,10,6,5,
5,5,5,6,10,6,5,1,1],[1,81,1,120,81,1080,40,90,270,90,270,1080,10,10,10,30,30,
40,90,90,90,270,270,360,40,120,1,1],[1,27,1,9,39,18,27,27,117,54,13,9,9,27,36,
36,36,18,3,9,27,36,36,117,36,1,1,1,3,3,4,9,12,18,6,6,6,6,3,3,3,3,6,9,9,12,36,
1,1,2,3,3,3,3,1,3,3,3,1,1],[1,9,1,12,12,24,27,9,36,12,72,9,4,12,12,12,12,24,
27,36,12,12,12,12,9,9,9,9,1,4,8,1,12,9,4,3,4,1,1],[1,9,1,9,12,18,27,108,9,9,
12,18,81,4,9,9,36,36,36,9,36,27,27,27,54,1,9,12,12,12,12,27,27,1,9,12,18,3,3,
9,9,9,9,1,1,2,12,9,9,1,1,1,3,3,3,3,6,1,3,3,1,1,1,1],[1,9,1,12,12,24,27,9,36,
12,72,9,4,12,12,12,12,24,27,36,12,12,12,12,9,9,9,9,1,4,8,1,12,9,4,3,4,1,1],[1,
1,1,10,20,15,30,6,1,10,20,5,45,45,10,6,10,10,15,30,30,60,6,45,10,6,5,5,5,5,15,
15,30,6,10,10,10,18,15,15,15,15,6,5,10,1,6,5,3,1,1],[1,1,9,120,18,40,9,90,270,
36,36,36,72,10,10,10,30,30,40,9,12,18,24,24,24,24,1,40,8,12,12,12,24,24,24,1,
4,8,1],[1,81,1,120,243,81,1080,40,90,270,81,90,270,1080,10,10,10,30,30,40,27,
81,81,81,90,90,90,270,270,360,40,9,27,27,27,120,1,1,1],[1,81,1,120,81,81,1080,
40,90,270,81,90,270,1080,10,10,10,30,30,40,18,18,90,90,90,270,270,360,40,18,
18,18,18,18,120,1,1,1],[1,1,120,81,40,90,270,81,10,10,10,30,30,40,40,1,1],[1,
81,1,9,120,18,81,81,1080,162,40,9,90,270,36,36,36,72,90,270,81,108,108,1080,
108,10,10,10,30,30,40,9,12,18,24,24,24,24,90,9,90,90,18,270,270,360,108,1,40,
8,12,12,12,24,24,24,9,120,36,36,36,1,4,8,1,12,1,1],[1,81,1,120,243,81,1080,81,
40,90,270,243,90,270,1080,81,10,10,10,30,30,40,54,54,90,90,90,270,270,360,40,
54,54,54,54,54,120,18,18,1,1,3,1],[1,81,1,120,81,486,81,1080,243,40,90,270,
162,81,90,270,1080,81,10,10,10,30,30,40,18,54,18,162,162,162,90,90,90,270,270,
360,54,54,40,18,54,18,18,54,18,54,18,18,120,18,18,1,1,2,1,1],[1,81,1,120,81,
81,1080,243,40,90,270,81,90,270,1080,81,10,10,10,30,30,40,18,18,90,90,90,270,
270,360,40,18,18,18,18,18,120,18,1,1,1,1],[1,81,1,120,81,81,1080,40,90,270,81,
81,90,270,1080,10,10,10,30,30,40,81,90,90,90,270,270,360,40,120,1,1,1,1],[1,
81,1,9,120,18,243,81,81,1080,162,40,9,90,270,36,36,36,72,81,243,90,270,81,108,
108,1080,108,10,10,10,30,30,40,9,12,18,24,24,24,24,54,54,81,90,9,90,90,18,270,
270,360,108,1,40,8,12,12,12,24,24,24,9,54,54,54,54,54,9,120,36,36,36,1,4,8,9,
1,12,1,3,1,1],[1,81,1,9,120,18,729,81,81,1080,162,40,9,90,270,36,36,36,72,243,
243,486,90,270,81,108,108,1080,108,10,10,10,30,30,40,9,12,18,24,24,24,24,81,
81,243,243,243,90,9,90,90,18,270,270,360,108,1,40,8,12,12,12,24,24,24,27,27,
81,81,81,54,9,120,36,36,36,1,4,8,9,1,12,1,3,1,1],[1,81,1,9,120,18,243,81,81,
1080,162,40,9,90,270,36,36,36,72,81,243,90,270,81,108,108,1080,108,10,10,10,
30,30,40,9,12,18,24,24,24,24,27,81,81,81,81,90,9,90,90,18,270,270,360,108,1,
40,8,12,12,12,24,24,24,9,27,27,27,27,9,120,36,36,36,1,4,8,9,1,12,1,1,1,1],[1,
81,1,120,243,486,81,1080,81,243,243,40,90,270,162,243,243,90,270,1080,81,81,
81,10,10,10,30,30,40,54,54,54,162,162,162,81,90,90,90,270,270,360,54,54,40,18,
54,54,54,54,54,54,54,54,120,18,18,18,18,18,1,1,2,3,1,1,1,1],[1,81,1,120,405,
81,81,1080,40,90,270,81,405,81,90,270,1080,81,10,10,10,30,30,40,81,90,90,90,
90,90,270,270,360,81,40,90,90,90,90,90,120,1,1,5,1,1,1],[1,81,1,36,120,72,243,
81,324,1080,648,81,40,36,90,270,144,144,144,288,243,90,270,324,432,432,1080,
432,81,81,81,81,10,10,10,30,30,40,36,48,72,96,96,96,96,54,54,90,36,90,90,72,
270,270,360,432,81,4,40,32,48,48,48,96,96,96,54,54,54,54,54,36,120,144,144,
144,18,18,1,16,32,1,48,18,18,4,3,4,1,1],[1,81,1,9,120,18,243,972,81,81,1080,
162,729,40,9,90,270,36,36,36,72,81,324,243,243,243,486,90,270,81,108,108,1080,
108,243,243,10,10,10,30,30,40,9,12,18,24,24,24,24,54,108,54,81,81,324,324,81,
324,90,9,90,90,18,270,270,360,108,162,162,81,1,40,8,12,12,12,24,24,24,9,36,27,
108,54,54,27,108,54,108,54,54,54,9,120,36,36,36,54,54,27,1,4,8,9,9,9,1,12,9,1,
4,3,1,3,1,1,1,1],[1,81,1,120,405,81,81,1080,1215,40,90,270,81,405,81,90,270,
1080,81,405,10,10,10,30,30,40,81,90,90,243,90,90,90,270,270,360,81,40,90,90,
90,90,90,81,120,90,1,1,5,1,5,1,1,1],[1,81,1,36,120,72,243,1458,81,324,1080,
648,81,729,729,40,36,90,270,144,144,144,288,486,243,972,1944,729,90,270,324,
432,432,1080,432,81,81,81,81,243,243,10,10,10,30,30,40,36,48,72,96,96,96,96,
54,162,54,324,486,486,486,243,243,243,243,90,36,90,90,72,270,270,360,432,81,
162,162,4,40,32,48,48,48,96,96,96,54,108,162,54,54,162,54,162,54,54,216,81,36,
120,144,144,144,18,18,54,54,54,1,16,32,36,1,48,18,18,4,6,3,4,1,3,3,4,3,1,1],[
1,81,1,90,120,180,1215,486,81,810,1080,1620,405,40,90,90,270,360,360,360,720,
486,810,1215,486,90,270,810,1080,1080,1080,1080,486,405,405,405,405,10,10,10,
30,30,40,90,120,180,240,240,240,240,486,270,270,810,90,90,90,90,180,270,270,
360,1080,486,405,10,40,80,120,120,120,240,240,240,90,270,270,270,270,270,81,
90,120,360,360,360,90,90,1,40,80,90,81,1,120,90,90,10,15,6,10,5,6,10,6,5,1],[
1,81,1,90,120,180,1215,2430,486,81,810,1080,1620,405,3645,3645,40,90,90,270,
360,360,360,720,486,810,810,1215,2430,2430,4860,486,3645,90,270,810,1080,1080,
1080,1080,486,405,405,405,405,1215,1215,2430,10,10,10,30,30,40,90,120,180,240,
240,240,240,486,270,270,270,810,810,810,810,810,810,1458,1215,1215,1215,1215,
90,90,90,90,180,270,270,360,1080,486,405,810,810,810,10,40,80,120,120,120,240,
240,240,90,90,270,270,270,270,270,270,270,270,270,270,540,81,486,405,90,120,
360,360,360,90,90,270,270,270,270,243,1,40,80,90,90,90,81,1,120,90,90,90,81,
10,10,15,6,10,5,15,15,6,10,10,10,15,6,5,10,6,5,1,1]],
[1,2,3,3,3,3,4,4,5,6,6,6,6,8,8,8,9,9,9,9,9,9,9,9,10,12,12,12,12,12,12,15,16,
18,18,18,18,18,18,18,20,24,24,24,24,24,24,24,27,27,27,27,27,27,27,27,27,27,27,
27,27,30,36,36,36,36,36,36,36,36,36,40,48,48,48,48,54,54,54,54,54,54,54,54,54,
60,72,72,72,72,81,81,81,81,81,81,81,81,81,108,108,108,108,108,108,108,108,108,
108,108,108,108,120,120,144,162,162,162,162,162,216,216,216,216,216,216,240,
243,243,243,324,324,324,360,486,486,648,648,648,720,729,972,972,1215,1458,
1944,1944,1944,2430,2916,2916,2916,3888,4860,5832,5832,9720,11664,29160,
58320],
[160,140,160,138,136,133,75,48,114,140,90,85,67,115,33,33,145,138,138,123,116,
116,116,93,114,90,90,75,48,48,31,114,33,138,123,90,85,85,85,85,114,115,115,
115,115,75,75,48,156,155,155,148,147,145,138,136,133,130,130,130,129,114,124,
126,123,90,90,88,89,90,88,72,73,74,75,76,138,138,139,137,133,125,123,120,85,
114,115,88,89,90,156,145,141,136,136,136,130,130,130,138,138,126,123,125,122,
126,123,124,124,121,123,112,140,114,115,138,136,118,119,120,137,139,123,124,
125,126,127,160,145,141,138,138,138,140,160,136,137,138,139,140,156,156,153,
157,156,158,153,153,157,156,156,156,153,157,158,156,157,158,160,160],
[1,1,1,1,1,1,1,1,1,1,1,5,1,2,1,2,1,1,1,1,1,1,1,1,1,4,3,1,4,1,6,1,7,19,20,1,5,
5,5,5,9,14,2,14,14,10,3,11,1,3,3,3,1,3,1,1,1,3,3,1,3,1,19,19,20,4,18,20,19,3,
20,9,45,44,28,42,19,19,50,51,19,52,20,54,5,9,14,35,34,36,1,3,3,17,17,17,17,17,
17,55,49,55,53,52,50,19,53,19,49,51,20,57,113,32,87,19,92,50,51,54,80,79,83,
77,52,78,113,3,17,17,55,49,91,113,128,92,121,116,122,134,49,128,128,128,128,
135,135,128,128,141,141,128,143,144,146,145,144,155,159,159],
[( 1, 2, 4, 8, 16)( 3, 6, 12, 24, 45)( 5, 10, 20, 38, 70)
( 7, 14, 27, 51, 92)( 9, 18, 34, 63,109)( 11, 22, 30, 57, 13)
( 15, 29, 55, 97, 71)( 17, 32, 37, 69,106)( 19, 36, 67,115,103)
( 21, 40, 74,125,187)( 23, 43, 58,101,161)( 25, 47, 86,144,193)
( 26, 49, 88, 50, 90)( 28, 53, 56, 75,126)( 31, 59,102, 60,104)
( 33, 61, 42, 78,132)( 35, 65, 77,130,142)( 39, 72,121,182,234)
( 41, 76,128, 98,155)( 44, 81,137,190, 48)( 46, 84,112,172, 79)
( 52, 93,152,208, 96)( 54, 95, 82,139, 85)( 62,107,146,138,136)
( 64,111, 87,145,118)( 66,113,131,192,242)( 68,117,134,171,222)
( 73,123,185,236,218)( 80,135,196,163,211)( 83,141,201,247,267)
( 89,148,203,248,177)( 91,151,206,220,207)( 94,129,127,124,140)
( 99,157,168,219,197)(100,159,213,227,259)(105,165,217,254,110)
(108,167,158,212,251)(114,173,225,200,147)(116,176,228,233,215)
(119,179,184,153,209)(120,166,156,210,186)(122,133,195,245,256)
(143,202,150,205,160)(149,204,249,162,216)(154,198,183,235,214)
(164,191,194,189,231)(169,221,199,246,265)(170,223,257,241,263)
(174,181,232,240,255)(175,226,243,250,238)(178,230,237,252,264)
(180,188,239,262,253)(224,244,261,269,270)(229,258,260,266,268),
( 1, 3, 7, 15, 30, 58, 49, 89,149, 43, 80,136)( 2, 5, 11, 23, 44, 82,140,
107, 4, 9, 19, 37)( 6, 13, 26, 50, 91, 92,148,151,207,126, 86, 32)
( 8, 17, 33, 62,108,168,220,255,195, 90,150, 69)( 10, 21, 41, 77,131,193)
( 12, 25, 48, 14, 28, 54, 96, 55, 98,156,211,226)( 16, 31, 60,105,166, 18, 35,
66,114,174,159,214)( 20, 39, 73,124,179,157,104,164,206, 57,100,160)
( 22, 42, 79,134,197,217,221,256,204,101,162,213)( 24, 46, 85,125,188,240,141,
128,190,219, 27, 52)( 29, 56, 99,158,144,161,215, 72,122,184, 88,147)
( 34, 64, 95, 36, 68,118,130,191,241, 81,138,199)( 38, 71,120,181,233, 47, 87,
146, 78,133,196,176)( 40, 75,127,189,236,155)( 45, 83,142, 51, 76,129,187,
238, 70,119,180,231)( 53, 94, 65,112,132,194,244,182,228,205,250,265)
( 59,103, 67,116,177,229)( 61,106,115,175,227,249,248,209,251,223,258,210)
( 63,110,170,224,257,212,252,259,232,145, 84,143)( 74,113, 93,153,123,186,137,
198,239,139,200,201)( 97,154,135,152,208,173)(102,163,192,243,172,121,183,
117,178,167,165,218)(109,169,222,247,268,111,171,225,235,216,253,230)
(185,237,261,262,267,242,264,270,246,266,263,269)(203,234,260)(245,254)],
[[[[]]],[[[1,1,2,1,1,2,2,1,1,1]]],[[[1,1,2,1],[2,2,1,-1],[4,1,3,-1,4,-1,3,
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1,2],[3,1,1,1,2,1,3,1,2,1,1,-1]]],[[[2,1,1,-1,2,-1,1,-2,2,-1,1,-1,2,-1]],[[2,
2,1,-2,2,-1,1,1,2,-1]],[[1,2],[3,2,2,2,1,1]]],[[[1,2],[3,1,1,1,2,1,3,1,2,1,1,
-1]],[[1,1,2,-1],[3,1,2,-1,3,1,2,-1]],[[1,2,2,1,1,2,2,1]]],[[[1,1,2,1,1,2,2,1,
1,1]],[[1,1,2,-1],[3,1,2,-1,3,1,2,-1]],[[1,2,2,1,1,2,2,1]]],[[[2,1,1,-1,2,-1,
1,-2,2,-1,1,-1,2,-1]],[[1,1,2,-1,1,2,2,-1,1,-1]],[[1,2,2,1,1,2,2,1]]],[[[1,
2],[1,1,2,2],[4,1,3,-1,4,1,3,-1]],[[1,1,2,-1],[3,1,2,-1,3,1,2,-1]],[[2,1,1,2,
2,1,1,2]]],[[[1,2],[3,1,1,1,2,1,3,1,2,1,1,-1]],[[2,1,1,-1],[3,1,2,1,3,1,2,
1]],[[1,2,2,1,1,2,2,1]]],[[[1,2],[3,1,1,1,2,1,3,1,2,1,1,-1]],[[1,1,2,-1],[3,1,
2,-1,3,1,2,-1]],[[1,1,2,1,1,2,2,1,1,1]]],[[[2,1,1,1,2,1,1,-2,2,1,1,-1,2,
-1]],[[1,2],[3,1,2,-1,1,-1,3,1,2,1,1,1]]],[[[1,2],[3,1,2,-1,3,1,2,-1,3,-2]],[[
1,2],[1,1,2,1,3,1,2,-1,3,1]]],[[[1,1,2,-4,1,-1]],[[2,1,1,-1,2,-1,1,-1]]],[[[1,
2,2,2,1,-1,2,1]],[[1,1,2,4]]],[[[1,2],[1,1,2,-1,3,1,2,1,3,1]],[[2,1,1,-2,2,
-2]]],[[[1,2,2,3,1,-1]],[[2,1,1,-2,2,-2]]],[[[2,1,1,1,2,2,1,1,2,-1,1,-2]],[[1,
-2,2,3,1,-1,2,1]],[[1,2],[3,1,1,1,2,-1,3,1,2,-1,3,1]],[[2,1,1,1],[2,1,3,-1,2,
-1,1,-1,3,-1]]],[[[1,2],[2,1,1,1,2,-1,1,1,2,1,3,-1,2,1,3,-1]],[[1,2],[3,1,2,2,
3,1,2,1,1,-1,2,1]],[[1,2],[3,1,2,1,1,-1,2,1,3,1,2,2]]],[[[1,2],[2,1,1,1],[3,1,
4,1,2,-1,4,-1,2,-1,3,-1]],[[2,1,1,-1,2,2,1,1,2,-1,1,-1]],[[1,2],[3,2,2,-1,1,1,
2,1]]],[[[2,2,1,-1,2,1,1,1,2,1,1,2]],[[1,-2,2,3,1,-1,2,1]]],[[[1,1,2,1,1,1,2,
-1,1,-2]],[[2,1,1,1,2,1,1,-1]]],[[[1,2,2,-1,1,-1,2,-1,1,-1,2,-2]],[[1,-2,2,3,
1,-1,2,1]]],[[[1,1,2,2,1,2,2,2]],[[1,1,2,1,1,1,2,-1,1,-2]]],[[[1,2],[3,2,2,-1,
1,1,2,1]],[[1,1,2,1,1,1,2,-1,1,-2]]],[[[1,2],[2,1,1,-1,2,-1,3,-2]],[[1,2,2,2,
1,1,2,2]]],[[[1,2],[2,-1,3,1,2,1,3,-1]],[[1,1,2,-1,1,1,2,1,1,2]]],[[[1,2,2,1,
1,1,2,-1,1,-1,2,-1]],[[1,1,2,-1],[3,1,2,-1,3,1,2,-1]]],[[[2,1,1,-1,2,1,1,2,2,
1,1,1,2,1]],[[1,1,2,1],[3,1,2,1,1,2,3,-1]],[[1,-2,2,-1,1,1,2,1]]],[[[1,2],[1,
1,2,1],[3,1,4,-1,2,-1,4,-1,3,-1]],[[1,2],[3,1,2,-1,3,-1,2,2,1,1]]],[[[1,2],[3,
1,1,1,2,1,3,1,2,1,1,-1]],[[2,1,1,-1,2,-1,1,-1]]],[[[1,1,2,1],[3,1,2,2,3,1,1,
2]],[[1,2,2,1,1,2,2,1]]],[[[1,2],[2,1,1,1,2,-1,3,1,2,1,3,1]],[[1,1,2,-1,1,1,2,
1,1,2]]],[[[1,2],[1,1,2,1],[3,1,4,2,2,1,3,-1]],[[2,1,1,1],[3,2,2,-1]]],[[[1,1,
2,-4,1,-2]],[[2,2,1,1,2,-1,1,1,2,-1]]],[[[1,1,2,1],[1,2,3,-1,2,-1,3,1]],[[2,1,
1,-2,2,-2]]],[[[1,2],[3,1,1,1,2,1,3,1,2,1,1,-1]],[[1,1,2,2,1,2,2,-2]]],[[[1,1,
2,1],[1,2,3,1,2,2,3,1]],[[1,2],[3,1,1,1,2,1,3,1,2,1,1,-1]]],[[[1,-2,2,3,1,-1,
2,1]],[[1,2,2,1]]],[[[1,2],[3,1,1,1,2,-1,3,1,2,-1,3,1]],[[2,1,1,-2,2,1]]],[[[
1,2],[3,1,2,-1,3,1,2,-1,3,-2]],[[1,1,2,-1,1,-1,2,2]]],[[[1,2],[3,1,2,2,1,1,2,
-1,3,-1]],[[2,1,1,-1,2,-1,1,-1]],[[1,1,2,-3,1,1,2,-1]]],[[[1,2],[1,1,2,2],[4,
1,3,-1,4,1,3,-1]],[[1,2],[1,1,2,-1,3,2,2,1,1,1]],[[1,2],[2,1,1,1,2,1],[3,1,4,
-1,3,1,4,-1]]],[[[1,2],[3,1,1,1,2,1,3,1,2,1,1,-1]],[[1,1,2,-1],[3,1,2,-1,3,1,
2,-1]],[[1,2,2,1,1,2,2,1]],[[1,1,2,1,1,2,2,1,1,1]]],[[[1,2,2,1,1,2,2,1]],[[1,
-2,2,1,1,1,2,-1]]],[[[1,-2,2,3,1,-1,2,1]],[[1,2,2,1,1,2,2,1]],[[2,1,1,2,2,1,1,
2]]],[[[1,2],[3,1,2,-2,3,1,1,1,2,2]],[[2,1,1,-1,2,-1,1,-2,2,-1,1,-1,2,
-1]]],[[[1,2],[1,1,2,1],[3,1,2,-1,4,-1,3,1,2,1,4,1]],[[1,1,2,1],[2,1,3,-1,2,1,
3,1,1,2]],[[1,2],[3,1,1,1,2,1,3,1,2,1,1,-1]]],[[[1,2],[3,1,2,-1,1,-1,3,1,2,1,
1,-1]],[[1,2],[3,1,2,2,3,1]],[[1,2,2,1,1,2,2,1]]],[[[1,1,2,1],[3,1,2,1,3,
1]],[[1,1,2,-1,1,2]]],[[[2,2,1,1,2,-1,1,1,2,-1]],[[1,1,2,1],[2,1,3,2]]],[[[1,
2],[3,1,2,-1,3,1,2,2,1,-1]],[[2,1,1,-1,2,-1,1,-1]]],[[[1,2],[2,1,1,1,2,-1,3,1,
2,1,3,1]],[[1,2],[2,-1,3,1,2,1,3,-1]],[[1,1,2,-1,1,1,2,1,1,2]]],[[[1,2],[3,1,
1,1,2,-1,3,1,2,-1,3,1]],[[1,2,2,1,1,1,2,1,1,1,2,-1]],[[2,1,1,-2,2,1]]],[[[1,
2],[3,1,2,2,3,1,2,1,1,-1,2,1]],[[1,1,2,1],[2,1,3,2,1,-1,3,-1]],[[1,2],[2,2,3,
1,2,1,1,-1,2,1,3,1]],[[1,2],[3,1,2,1,1,-1,2,1,3,1,2,2]]],[[[1,2,2,-1,1,-1,2,
-1,1,-1,2,-2]],[[1,-2,2,3,1,-1,2,1]],[[1,2],[3,1,1,1,2,-1,3,1,2,-1,3,1]]],[[[
1,2,2,-1,1,-1,2,-1,1,-1,2,-2]],[[2,1,1,1,2,1,1,-1]],[[1,2],[3,2,2,-1,1,1,2,
1]]],[[[2,2,1,1,2,-1,1,1,2,-1]],[[1,1,2,-1,1,1,2,1,1,2]]],[[[1,2],[2,1,1,1,2,
-1,3,1,2,1,3,1]],[[1,1,2,3]]],[[[1,2],[3,1,2,-1,1,-1,3,1,2,1,1,1]],[[1,1,2,
1],[1,2,3,-1,2,-1,3,1]],[[2,1,1,-2,2,-2]]],[[[2,1,1,-1,2,-1,1,2,2,-1,1,-1,2,
-1]],[[2,1,1,-2,2,1]]],[[[2,1,1,-1],[3,1,2,1,3,1,2,1]],[[1,2,2,1,1,2,2,1]],[[
1,1,2,-1],[2,1,3,-1,2,1,3,-1]],[[2,1,1,2,2,1,1,2]],[[1,1,2,1,1,2,2,1,1,
1]]],[[[1,1,2,1],[3,1,1,2,3,1]],[[1,1,2,-1,1,1,2,1,1,2]],[[2,1,1,1],[1,2,3,
2]]],[[[1,1,2,-3,1,1,2,-1]],[[2,1,1,-1,2,1,1,1]]],[[[2,2,1,1,2,-1,1,1,2,
-1]],[[1,1,2,3]]],[[[2,2],[1,2,3,2]],[[1,-2,2,2]]],[[[1,2,2,1,1,1,2,1,1,-1,2,
1]],[[1,2,2,3,1,1]],[[2,2,1,-2]]],[[[1,1,2,2,1,2,2,2]],[[2,1,1,1,2,1,1,-1]],[[
1,-2,2,3,1,-1,2,1]]],[[[2,1,1,2,2,1,1,-1,2,1]],[[1,1,2,-1],[3,1,2,-1,3,1,2,
-1]],[[1,2,2,1]]],[[[2,1,1,2,2,1,1,2]],[[2,3,1,1,2,1]],[[1,2,2,1,1,2,2,
1]]],[[[2,2,1,2,2,1,1,-1,2,1]],[[1,1]]],[[[1,2,2,1,1,2,2,1]],[[2,1,1,1,2,1,1,
-1]],[[2,1,1,-1,2,-1,1,2]]],[[[1,1,2,4]],[[2,3,1,1,2,1]],[[1,1,2,1,1,1,2,
1]]],[[[2,3,1,1,2,1]],[[2,1,1,1,2,2,1,1]],[[1,2,2,-1,1,1]]],[[[2,3,1,1,2,
1]],[[2,1,1,1,2,-1,1,1,2,-1]]],[[[2,1,1,2,2,1]],[[1,1]]],[[[2,1,1,1,2,1,1,
-1]],[[1,-1,2,2]]],[[[1,1,2,1,1,1]],[[1,2,2,1]]],[[[1,2,2,-1,1,1]],[[2,1,1,1,
2,-2]]],[[[1,-1,2,1,1,-2]],[[2,2,1,-1]]],[[[2,3,1,1,2,1]],[[1,-1]]],[[[1,-2,2,
2]],[[1,1,2,-2]],[[2,1,1,-1,2,1,1,1]]],[[[1,-1,2,2]],[[1,1,2,1,1,1]],[[1,2,2,
1]]],[[[2,2,1,1,2,-1]],[[1,-1]]],[[[1,1,2,-2]],[[1,1,2,1]],[[2,1,1,2]]],[[[2,
-2]],[[1,1]]],[[[1,1]],[[2,1]]]]);
AFLT( "4^3:L3(2)","HS",[1,2,2,3,4,8,5,6,8,6,7,12,9,8,9,8,9,11,10,12,11,6,7,20,
18,17,21,22,29,27,22,34,23,35,28,23,30,24,36,25,29,39,32,43,40,28,42,31,36,37,
27,28,49,43,33,24,47,30,28,43,44,41,46,38,23,45,48,26,45,43,45,44,46,58,60,60,
59,60,67,61,70,68,79,75,80,73,96,81,87,84,97,76,99,75,100,76,82,109,86,74,77,
88,89,85,108,78,101,101,85,98,97,87,117,116,112,110,92,91,115,105,90,113,111,
83,102,103,108,104,109,85,114,106,83,90,89,102,95,128,129,92,102,93,124,126,
122,85,119,118,131,125,123,108,107,111,130,94,88,120,112,82,127,90,110,121,
146,160,153,155,155,159,150,148,161,149,151,151,150,156,152,151,165,172,185,
180,193,186,196,194,188,189,175,176,173,183,187,198,191,202,181,209,178,208,
200,206,199,204,205,177,179,175,190,207,197,182,174,192,232,214,194,229,198,
201,228,182,180,222,216,211,183,199,184,195,210,218,213,201,227,203,181,220,
200,215,233,223,221,219,224,212,226,225,217,201,231,187,236,234,192,230,211,
235,212,257,254,258,266,265,260,267,264,271,267,259,264,273,275,272,276,274,
265,268,277,285,295,298,296,297,304,312,299,313,311,308,306,307,305,310,303,
331,300,323,324,335,340,301,345,327,320,338,309,316,317,332,346,302,347,328,
318,314,326,315,343,330,334,336,329,342,325,344,341,337,319,339,333,302,349,
348,322,303,321,342,332,367,373,368,371,385,381,372,378,380,379,384,377,376,
386,377,387,405,407,409,410,411,412,408,406,413,419,421,420,426,427,422,428,
424,423,415,417,418,414,416,425,440,443,444,446,452,450,449,451,459,458,457,
455,456,461,463,462,476,477,481,480,482,479,478,502,509,511,507,513,512,514,
520,542,541,543,540,555,553,554,563,564,578] );
AFLT( "4.2^4:S5","HS",[1,2,2,3,2,3,4,5,8,6,8,6,5,9,9,11,6,7,12,8,11,6,9,11,12,
7,10,12,11,13,17,16,20,20,19,17,18,22,23,29,27,36,35,34,29,28,27,30,24,25,38,
24,27,23,43,40,29,42,32,30,28,39,37,31,26,23,38,42,44,28,45,38,32,47,46,45,49,
36,37,33,43,45,41,48,29,31,43,26,24,45,49,26,41,46,44,45,55,52,58,60,70,62,66,
68,63,59,69,67,64,67,66,65,75,73,74,76,87,97,79,96,81,84,100,99,101,79,84,87,
86,85,80,82,108,109,77,75,88,81,89,97,96,78,92,86,92,102,112,109,77,89,74,88,
111,82,113,111,92,76,90,110,116,83,83,110,104,103,114,81,111,85,110,91,105,
112,108,112,115,117,106,90,98,90,83,94,129,116,115,123,106,124,102,127,120,95,
130,125,93,121,128,131,101,105,107,117,118,126,119,122,93,95,90,92,143,144,
145,148,153,147,155,154,148,149,153,159,161,160,150,156,166,151,158,165,162,
164,157,163,173,178,175,196,194,186,188,172,189,193,176,172,209,206,191,185,
196,183,205,177,187,180,200,189,182,181,193,199,190,197,204,207,174,202,198,
208,179,186,188,194,202,184,179,211,213,212,217,211,183,216,211,187,212,229,
191,198,192,212,197,232,233,213,233,233,223,182,222,214,227,232,226,192,190,
224,213,184,181,232,225,192,195,219,228,220,184,218,221,201,178,203,210,215,
234,230,231,221,220,236,223,222,235,249,248,252,257,269,261,260,266,255,256,
259,267,277,262,263,264,275,265,274,260,261,276,278,272,273,271,270,279,268,
286,296,295,297,301,304,300,299,310,308,298,305,313,306,307,312,311,324,318,
303,327,309,331,343,341,342,333,335,340,336,319,325,313,323,315,334,337,345,
329,330,310,302,344,328,339,332,299,316,320,326,317,347,314,338,346,323,339,
348,318,343,321,344,342,349,331,322,338,366,367,373,368,383,381,370,382,374,
369,378,376,375,387,377,386,388,399,398,400,406,412,407,408,409,410,411,405,
421,422,410,412,419,423,425,413,417,418,414,415,416,424,427,426,428,420,438,
454,451,448,447,452,453,449,456,455,458,459,457,450,460,462,465,466,470,469,
467,468,471,476,479,482,480,477,481,478,490,488,489,510,504,508,505,507,503,
506,512,513,515,516,520,527,525,526,542,544,552,563,572,575] );
AFLT( "5:4xA5","HS",[1,2,3,3,4,10,5,7,12,10,14,13,14,16,20,17,25,33,31,51,52,
53,56,55,52,53,59,69,66,70,72,78,137,140,142,141,138,144,143,145,156,164,167,
170,169,171,247,251,250,252,268,281,280,282,286,291,294,292,293,365,392,391,
389,402,400,403,464,473,471,487,524,551] );
AFLT( "3^4:(M10x2)","McL.2",[1,3,2,3,4,5,5,5,6,8,6,7,9,7,9,11,15,15,16,18,13,
12,17,14,17,14,18,18,21,30,23,24,29,26,23,32,33,27,29,34,35,37,34,34,35,35,36,
38,36,36,43,41,40,46,53,49,57,45,56,59,50,48,52,56,58,46,54,47,51,60,55,55,85,
87,81,68,77,83,88,93,94,93,96,96,99,97,100,98,102,95,93,103,101,104,108,97,
100,95,105,105,95,106,107,106,107,106,113,110,111,122,129,124,126,129,134,132,
130,137,138,140,127,133,121,123,139,133,128,142,144,142,147,146,142,143,145,
143,146,146,147,143,145,149,151,150,147,148,171,182,184,182,183,188,183,189,
184,197,196,198,185,195,186,190,183,201,200,203,183,202,184,199,185,196,192,
193,187,204,185,187,183,194,194,191,187,208,231,238,233,242,242,245,244,243,
247,252,244,252,253,257,248,256,255,257,255,256,251,248,250,246,254,244,249,
258,261,260,259,250,249,250,251,246,246,251,266,267,285,292,285,302,293,297,
291,290,303,298,304,300,296,301,287,294,286,313,312,307,298,311,308,299,310,
286,299,309,306,299,287,285,286,288,316,317,318,317,319,321,317,320,322,351,
352,359,360,355,354,367,359,364,368,356,368,361,357,365,361,355,357,360,356,
362,358,369,356,363,363,359,370,366,361,372,372,363,373,372,353,371,374,374,
380,399,402,396,408,407,409,401,405,404,410,403,406,397,398,406,414,416,417,
418,419,420,421,420,422,423,425,424,421,423,427,426,421,456,450,454,461,470,
450,452,457,451,464,460,463,466,465,462,451,464,462,463,466,452,459,451,453,
479,480,481,487,489,493,491,495,497,496,494,498,492,499,501,500,501,511,512,
510,513,524,525,525,526,531,532,532,533,535,534,536,545,546,550,553,552,551,
547,549,548,559,554,558,555,557,556,567,569,575,568,571,577,583,584,582,587,
589,588,590,588,592,591,589,593,610,604,605,607,608,609,606,611,619,623,621,
622,628,627,629,632,641,639,632,638,639,642,634,633,640,651,661,659,657,660,
655,658,656,665,673,669,677,687,685,686,688,683,684,682,696,701,709,722,718,
717,726] );
AFLT( "3^4:(M10x2)","U4(3).2^2_133",[1,5,6,5,7,9,9,8,10,17,11,12,18,15,19,25,
42,42,38,40,31,30,39,32,39,32,40,41,59,68,48,49,104,90,50,80,81,91,107,108,
109,113,108,110,109,112,111,115,114,114,119,118,120,128,137,132,125,129,123,
151,138,134,147,127,126,130,148,131,139,152,149,149,223,221,260,231,290,222,
224,318,319,318,326,326,350,327,349,328,339,320,321,337,338,340,351,327,349,
329,341,341,329,345,344,345,344,343,356,358,359,415,378,396,370,380,389,386,
381,412,391,402,373,387,369,417,403,388,377,419,423,419,424,425,421,420,428,
422,427,427,426,422,426,431,430,429,428,432,610,631,634,635,635,644,631,645,
634,668,664,667,640,665,636,650,637,678,676,670,635,669,640,677,634,664,660,
659,642,675,641,638,639,661,661,658,643,683,719,728,747,764,764,773,772,765,
774,788,772,788,786,792,779,793,796,792,793,796,767,779,768,775,787,776,771,
799,797,798,800,770,769,770,769,780,780,771,801,804,939,956,939,971,958,964,
950,951,972,967,975,974,963,973,941,957,940,983,984,980,970,976,981,970,986,
939,967,985,977,970,941,940,945,944,989,990,992,990,993,995,991,994,996,1068,
1069,1073,1074,1083,1082,1103,1073,1116,1102,1083,1102,1074,1087,1115,1079,
1086,1087,1079,1086,1080,1088,1104,1089,1077,1076,1075,1094,1117,1078,1092,
1093,1081,1108,1096,1072,1097,1109,1110,1122,1192,1216,1191,1219,1209,1221,
1206,1218,1217,1220,1215,1212,1193,1194,1212,1222,1224,1226,1225,1233,1229,
1231,1229,1238,1236,1239,1241,1231,1236,1242,1240,1232,1307,1311,1304,1352,
1339,1315,1314,1308,1311,1334,1351,1335,1350,1336,1333,1315,1334,1335,1333,
1350,1314,1321,1317,1316,1360,1361,1362,1391,1392,1394,1396,1399,1400,1398,
1395,1402,1397,1403,1406,1411,1406,1417,1420,1421,1422,1453,1461,1461,1467,
1478,1482,1482,1483,1485,1484,1486,1500,1499,1501,1503,1504,1502,1505,1507,
1506,1514,1510,1512,1508,1513,1509,1530,1531,1523,1532,1533,1540,1550,1551,
1552,1559,1561,1558,1564,1560,1569,1568,1563,1571,1589,1590,1588,1586,1587,
1585,1584,1592,1610,1614,1615,1616,1619,1620,1618,1624,1656,1639,1627,1638,
1640,1655,1643,1626,1657,1666,1670,1674,1676,1673,1671,1675,1672,1677,1717,
1688,1719,1728,1722,1723,1726,1725,1727,1724,1745,1754,1770,1781,1780,1779,
1784] );
AFLT( "3^4:M10","McL",[1,2,3,4,4,4,4,5,6,6,8,11,11,11,11,9,10,16,19,18,20,22,
21,20,20,20,23,21,23,23,21,23,23,24,26,33,29,30,28,34,31,31,32,35,48,49,50,49,
50,50,49,50,50,51,53,52,54,54,54,54,56,70,66,67,65,68,72,73,73,72,74,73,72,73,
73,76,78,75,75,77,76,78,77,78,78,77,80,82,81,79,93,95,93,95,97,94,96,94,93,97,
96,94,96,97,98,99,102,100,101,128,127,129,128,129,129,128,129,129,124,126,123,
124,125,123,125,126,126,126,125,130,134,135,136,146,152,153,150,151,150,151,
149,148,154,157,158,158,158,158,159,160,162,161,164,163,165,180,181,182,183,
184,185,182,183,184,181,183,182,184,186,187,188,188,187,189,190,191,205,204,
209,210,210,210,210,211,213,212,240,238,237,238,237,243,244,245,254,253,252,
255,256,257,264,269,263,265,266,268,278,279,280,290,288,289,293,291,292,298,
300,299,304,306,311,311,313,312,318,322,324,329,330,341,343,342,347,352,362,
367] );
AFLT( "3^4:M10","U4(3).2_3",[1,2,4,6,5,5,6,8,11,12,13,16,17,17,16,18,19,24,31,
41,42,47,43,42,44,44,43,46,46,45,48,48,48,49,51,65,56,57,58,63,53,54,55,61,91,
102,102,103,103,107,107,104,107,109,110,113,114,115,114,115,117,138,137,136,
133,126,145,146,145,146,149,147,148,148,148,139,141,142,144,144,140,144,143,
141,143,142,151,150,152,153,189,187,188,189,190,190,189,194,192,194,191,195,
193,195,196,200,201,203,202,228,227,230,230,228,229,232,232,232,233,235,236,
234,237,237,238,237,235,238,236,240,248,246,247,273,281,282,271,267,268,271,
280,275,283,285,286,287,286,287,288,291,290,289,293,292,294,312,314,315,314,
315,319,320,317,320,316,318,321,321,332,326,325,326,324,330,328,330,352,350,
354,356,357,357,356,359,361,360,393,384,381,380,384,394,395,396,402,401,403,
404,405,406,411,414,415,418,416,417,424,428,430,437,435,436,440,439,441,447,
448,449,453,455,458,459,463,462,467,471,472,478,482,487,488,486,496,499,510,
513] );
AFLT( "5^(1+2)+:3:8","McL",[1,2,3,6,7,8,9,19,25,26,35,37,55,56,69,71,83,103,
122,138,179,199,200,246,271,281,305,314,323,344] );
AFLT( "3^(1+4)+:4S5","McL.2",[1,2,3,4,4,5,5,6,6,7,7,9,10,12,15,15,16,12,18,13,
15,17,14,17,22,23,25,23,33,26,24,29,29,34,37,35,36,34,37,35,38,39,42,45,46,45,
56,46,56,51,58,57,51,58,56,46,54,47,55,64,69,74,88,82,68,86,70,94,93,95,96,
108,99,100,98,97,104,106,103,101,105,105,102,106,96,98,97,107,109,112,114,117,
120,129,129,119,121,125,132,135,131,130,130,133,129,133,121,132,133,134,142,
145,146,143,147,142,144,144,151,150,149,148,153,154,169,182,184,183,186,183,
184,197,200,199,185,195,200,196,199,198,191,187,194,192,194,193,205,206,207,
213,224,215,236,234,235,223,233,237,232,216,233,242,244,244,249,245,252,246,
242,252,250,257,243,255,251,247,256,248,253,243,261,260,259,258,254,269,268,
264,285,285,289,305,311,286,287,288,295,311,310,303,299,304,298,299,302,310,
315,316,317,318,319,321,320,322,334,347,360,355,359,359,355,360,354,357,356,
361,361,370,358,357,368,356,368,367,373,372,363,362,371,353,369,374,377,385,
384,386,413,411,412,406,409,400,416,417,418,421,420,419,422,425,424,423,426,
427,450,450,458,466,459,452,453,467,464,468,463,462,451,455,466,452,463,451,
464,469,462,465,471,472,475,478,479,480,481,488,498,499,495,497,496,498,499,
500,501,508,525,525,527,528,529,531,532,533,534,535,536,550,558,558,549,554,
551,554,560,576,566,572,577,587,588,589,591,590,593,603,604,620,622,621,623,
631,632,633,638,634,636,635,637,639,646,647,656,659,660,661,655,657,658,666,
669,668,670,671,672,667,676,675,674,681,686,685,684,683,682,688,687,691,695,
693,694,699,700,698,701,704,707,710,719,720,721,725] );
AFLT( "M11x2","McL.2",[1,3,2,3,5,9,8,6,7,9,11,18,14,16,14,18,13,17,24,21,23,
33,26,27,29,32,30,35,43,41,40,44,52,49,53,54,60,55,52,55,68,81,88,87,85,83,77,
100,93,97,104,102,113,110,111,116,118,127,137,126,123,171,196,182,185,189,188,
184,183,204,193,208,228,220,219,231,262,265,266,290,294,298,287,293,286,291,
285,292,307,299,344,375,382,381,379,380,407,401,406,397,396,399,398,477,487,
511,561,567,575,569,612,619,692,703] );
AFLT( "5^(1+2)+:3:8.2","McL.2",[1,2,3,4,6,7,9,10,11,12,15,25,26,29,39,41,42,
40,43,45,51,58,64,82,109,110,112,114,113,111,131,132,135,141,153,154,205,206,
207,208,237,239,240,241,269,268,264,315,348,350,349,384,386,385,387,449,478,
482,483,514,537,538,539,578,579,594,596,595,626,625,624,643,663,664,662,
689] );
AFLT( "5^(1+2)+:3:8.2","U3(5).S3",[1,2,3,4,7,8,11,12,13,14,23,30,31,33,37,40,
39,38,41,42,53,58,61,66,77,78,80,82,81,79,106,104,103,108,110,111,126,127,128,
129,139,145,147,146,151,152,153,171,174,176,175,183,185,180,186,195,203,205,
206,211,215,217,216,224,225,226,228,227,232,233,231,234,238,236,237,240] );
AFLT( "3^(1+4)+:2S5","McL",[1,2,3,3,4,4,6,6,7,9,9,11,10,15,19,16,20,22,21,23,
21,22,20,24,25,31,31,35,31,35,32,37,47,49,50,51,53,52,54,54,55,58,62,60,59,68,
69,68,72,76,75,77,73,78,72,74,74,82,80,81,79,83,93,93,95,101,99,96,94,101,97,
103,114,115,121,112,128,128,124,123,127,125,129,126,130,138,147,151,150,152,
157,158,159,162,160,161,165,164,163,181,181,182,183,191,190,187,184,187,182,
189,188,185,194,199,206,209,210,213,212,211,236,235,238,237,239,237,242,243,
244,245,257,257,256,270,279,280,294,290,295,302,304,311,312,317,322,327,329,
328,331,341,342,343,345,346,351,352,355,356,361,368] );
#############################################################################
#############################################################################
##
#E