File: tmsympmx.tom

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#############################################################################
##
#W  tmsympmx.tom         GAP table of marks library           Thomas Merkwitz
##
#H  @(#)$Id: tmsympmx.tom,v 4.2 2001/07/05 07:20:11 gap Exp $
##
#Y  Copyright (C)  1997,  Lehrstuhl D fuer Mathematik,  RWTH Aachen,  Germany
##
##  This file contains the table of marks of maximal subgroups of symplectic
##  groups.
##
#H  tomlib history
#H  --------------
#H  $Log: tmsympmx.tom,v $
#H  Revision 4.2  2001/07/05 07:20:11  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/tmsympmx.tom,v
#H  Working file: tmsympmx.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 12:25:14;  author: gap;  state: Exp;  lines: +2 -2
#H  changed revision number to 4.1
#H  ----------------------------
#H  revision 1.1
#H  date: 1997/11/19 13:24:13;  author: gap;  state: Exp;
#H  added new table of marks library files
#H  ==========================================================================
#H
Revision.tmsympmx_tom :=
    "@(#)$Id: tmsympmx.tom,v 4.2 2001/07/05 07:20:11 gap Exp $";

SetActualLibFileName("tmsympmx");
LIBTOM( "2^6:(3xA5)",
[[1],[1,2],[1,3],[1,4],[1,5],[1,6],[1,7],[1,8],[1,9],[1,2,10],[1,3,11],[1,4,
12],[1,4,13],[1,5,14],[1,4,15],[1,2,3,4,16],[1,3,4,17],[1,2,4,18],[1,6,19],[1,
6,20],[1,6,21],[1,4,6,22],[1,4,6,23],[1,4,24],[1,3,4,25],[1,4,5,26],[1,4,27],[
1,4,6,28],[1,4,29],[1,4,6,30],[1,6,31],[1,6,32],[1,4,5,6,33],[1,2,5,6,34],[1,
5,6,35],[1,5,6,36],[1,2,6,37],[1,4,6,38],[1,3,5,6,39],[1,5,6,40],[1,4,41],[1,
3,6,42],[1,5,6,43],[1,3,4,44],[1,4,5,6,45],[1,46],[1,5,8,47],[1,6,8,48],[1,2,
8,49],[1,3,9,50],[1,5,7,51],[1,4,5,12,26,52],[1,3,4,13,25,53],[1,2,3,4,10,16,
18,54],[1,2,3,4,11,16,17,55],[1,2,4,15,18,27,56],[1,2,4,15,18,24,57],[1,2,3,4,
15,16,25,58],[1,2,3,4,12,13,16,17,18,59],[1,4,13,15,24,27,60],[1,4,6,12,22,23,
28,61],[1,2,6,20,31,37,62],[1,3,5,6,14,39,40,63],[1,3,6,19,32,42,64],[1,3,5,6,
11,39,42,65],[1,2,6,20,32,37,66],[1,3,5,6,19,36,39,67],[1,3,6,19,31,42,68],[1,
4,5,6,12,38,45,69],[1,2,5,6,14,34,35,70],[1,3,4,13,27,44,71],[1,4,5,6,12,30,
33,72],[1,2,5,6,10,34,37,73],[1,2,5,6,20,34,36,74],[1,3,4,13,24,44,75],[1,3,4,
11,25,44,76],[1,3,4,17,24,25,44,77],[1,4,6,13,22,28,30,38,78],[1,2,4,5,6,18,
26,28,33,34,79],[1,2,3,4,5,6,16,23,26,34,39,80],[1,3,4,5,6,17,22,26,33,39,
81],[1,2,3,4,16,29,82],[1,2,4,6,18,22,23,30,37,83],[1,4,5,6,13,23,26,33,45,
84],[1,2,4,5,6,18,22,26,34,45,85],[1,4,13,29,86],[1,3,4,6,17,22,23,38,42,87],[
1,4,13,41,88],[1,3,4,12,15,25,44,89],[1,3,4,17,25,27,44,90],[1,3,4,5,6,17,26,
28,39,45,91],[1,3,4,15,17,24,27,44,92],[1,3,4,6,17,23,28,30,42,93],[1,2,3,4,
16,18,24,25,44,94],[1,2,4,6,18,23,28,37,38,95],[1,2,3,4,16,18,25,27,44,96],[1,
3,4,15,17,24,27,44,97],[1,4,12,41,98],[1,2,3,4,16,18,24,27,44,99],[1,4,12,29,
100],[1,4,12,24,27,101],[1,2,3,4,6,16,22,28,37,42,102],[1,2,3,4,16,41,103],[1,
4,5,6,22,32,33,35,36,40,45,104],[1,3,5,6,31,32,35,39,42,43,105],[1,3,5,6,31,
35,36,39,42,43,106],[1,4,6,21,28,30,31,32,38,107],[1,3,4,5,6,17,30,33,38,39,
42,45,108],[1,4,5,6,26,30,35,36,40,45,109],[1,2,5,6,32,34,36,37,40,43,110],[1,
3,5,6,32,35,36,39,42,43,111],[1,4,6,21,22,30,31,32,38,112],[1,3,4,5,25,26,29,
113],[1,4,5,24,26,41,114],[1,2,3,4,5,6,16,34,37,38,39,42,45,115],[1,4,5,15,26,
29,116],[1,4,5,6,28,31,33,35,36,40,45,117],[1,3,4,17,29,41,118],[1,3,5,6,20,
21,39,40,42,119],[1,2,3,4,5,6,16,30,33,34,37,39,42,120],[1,4,5,6,26,30,35,38,
40,43,121],[1,4,5,6,20,22,31,33,35,38,43,122],[1,4,5,6,21,23,33,36,43,45,
123],[1,4,5,6,19,22,30,31,40,43,45,124],[1,4,6,19,20,23,30,31,32,38,125],[1,4,
5,6,26,33,35,36,38,40,126],[1,4,5,6,23,30,31,32,35,40,45,127],[1,4,6,23,24,41,
128],[1,4,5,6,23,31,32,33,35,38,40,129],[1,2,4,18,29,41,130],[1,3,4,17,24,25,
27,44,131],[1,4,5,6,19,28,32,33,38,40,43,132],[1,2,5,6,31,32,34,37,40,43,
133],[1,3,4,6,22,25,41,134],[1,4,6,22,24,29,135],[1,4,6,22,27,29,136],[1,4,6,
15,22,41,137],[1,2,4,5,6,18,30,33,34,37,38,45,138],[1,3,4,6,25,28,41,139],[1,
3,4,6,23,25,29,140],[1,2,5,6,19,21,34,35,37,141],[1,4,6,23,27,41,142],[1,3,4,
17,29,41,143],[1,4,5,6,14,26,33,36,43,45,144],[1,4,6,27,28,29,145],[1,4,5,6,
20,28,30,32,35,43,45,146],[1,4,6,24,28,29,147],[1,2,5,6,31,34,36,37,40,43,
148],[1,4,6,15,28,41,149],[1,4,6,15,23,29,150],[1,2,4,18,29,41,151],[1,4,5,26,
27,41,152],[1,7,8,9,153],[1,5,46,154],[1,6,46,155],[1,2,46,156],[1,2,7,10,
157],[1,5,9,14,158],[1,5,8,14,159],[1,3,7,11,160],[1,3,8,11,161],[1,2,9,10,
162],[1,3,9,11,163],[1,4,8,15,164],[1,2,8,10,49,165],[1,4,9,13,166],[1,6,8,20,
167],[1,4,7,12,168],[1,6,9,19,169],[1,5,9,14,170],[1,5,7,14,51,171],[1,3,9,11,
50,172],[1,2,6,8,37,48,49,173],[1,2,5,6,8,34,47,48,49,174],[1,6,9,21,175],[1,
7,46,176],[1,2,3,4,10,11,12,13,16,17,18,54,55,59,177],[1,4,12,24,27,101,178],[
1,3,4,11,12,15,25,44,76,89,179],[1,3,5,6,11,14,20,21,39,40,42,63,65,119,180],[
1,2,5,6,10,14,19,21,34,35,37,70,73,141,181],[1,4,6,13,21,22,28,30,31,32,38,78,
107,112,182],[1,2,3,4,10,15,16,18,24,25,27,44,54,56,57,58,94,96,99,183],[1,4,
5,6,13,14,21,23,26,33,36,43,45,84,123,144,184],[1,2,3,4,5,6,12,13,16,17,18,22,
23,26,28,33,34,39,45,52,59,61,79,80,81,84,85,91,185],[1,2,3,4,12,13,16,17,18,
29,59,82,86,100,186],[1,2,3,4,12,13,15,16,17,18,24,25,27,44,53,58,59,60,77,89,
90,94,96,187],[1,2,3,4,6,12,13,16,17,18,22,23,28,30,37,38,42,59,61,78,83,87,
93,95,102,188],[1,2,3,4,12,13,16,17,18,41,59,88,98,103,189],[1,2,3,4,12,13,15,
16,17,18,24,27,44,56,57,59,60,92,97,99,101,190],[1,3,4,11,13,17,24,25,27,44,
53,71,75,76,77,90,131,191],[1,4,5,6,12,14,26,30,33,35,36,38,40,43,45,52,69,72,
109,121,126,144,192],[1,2,5,6,10,20,31,32,34,36,37,40,43,62,66,73,74,110,133,
148,193],[1,3,5,6,11,19,31,32,35,36,39,42,43,64,65,67,68,105,106,111,194],[1,
3,4,5,12,15,25,26,29,44,52,89,100,113,116,195],[1,4,12,24,27,29,41,98,100,101,
196],[1,2,3,4,10,16,18,29,41,54,82,103,130,151,197],[1,4,5,6,13,15,23,24,26,
27,33,41,45,60,84,88,114,128,198],[1,2,3,4,5,6,11,16,17,22,23,26,28,30,33,34,
37,38,39,42,45,55,65,80,81,87,91,93,102,108,115,120,199],[1,2,3,4,12,13,16,17,
18,29,41,59,98,100,118,151,200],[1,2,3,4,5,6,12,13,16,17,18,22,23,26,28,30,33,
34,37,38,39,42,45,59,69,78,84,85,87,91,95,108,115,138,201],[1,4,5,6,13,23,26,
29,33,41,45,84,86,88,202],[1,4,12,24,27,29,41,98,100,101,203],[1,2,3,4,12,13,
15,16,17,18,24,25,27,44,56,59,71,89,90,94,96,97,99,101,131,204],[1,2,3,4,11,
15,16,17,18,24,25,27,44,55,58,76,77,90,92,94,96,97,99,131,205],[1,3,4,6,12,15,
22,23,25,28,41,44,61,89,98,139,149,206],[1,4,5,6,13,23,26,29,33,45,84,86,
207],[1,4,6,12,22,23,24,27,28,29,61,100,101,145,147,208],[1,4,6,12,22,23,24,
27,28,29,61,100,101,135,136,209],[1,3,4,12,15,25,29,41,44,89,98,100,210],[1,2,
3,4,12,13,15,16,17,18,24,25,27,44,57,59,75,77,89,92,94,96,99,101,131,211],[1,
2,3,4,5,6,12,13,16,17,18,22,23,26,28,30,33,34,37,38,39,42,45,59,72,78,79,81,
83,84,93,108,120,138,212],[1,4,5,6,13,22,23,26,28,30,31,32,33,35,36,38,40,45,
78,84,104,109,117,126,127,129,213],[1,2,3,4,12,13,16,17,18,29,41,59,86,88,143,
151,214],[1,4,5,12,24,26,27,41,52,98,101,114,152,215],[1,4,5,6,13,23,26,33,41,
45,84,88,216],[1,3,4,12,15,25,29,44,89,100,217],[1,3,4,12,15,25,29,41,44,89,
98,100,218],[1,3,4,5,6,13,23,25,26,29,33,45,53,84,86,113,140,219],[1,3,4,12,
15,25,41,44,89,98,220],[1,2,3,4,11,16,17,29,41,55,82,103,118,143,221],[1,4,12,
24,27,29,100,101,222],[1,4,6,13,22,28,29,30,38,78,86,223],[1,2,3,4,12,13,16,
17,18,29,41,59,98,100,130,143,224],[1,4,5,6,13,15,23,24,26,27,33,41,45,60,84,
88,142,152,225],[1,2,3,4,5,6,10,16,18,22,23,26,28,30,33,34,37,38,39,42,45,54,
73,79,80,83,85,95,102,115,120,138,226],[1,4,5,6,13,15,23,24,26,27,29,33,45,60,
84,86,116,150,227],[1,3,4,6,12,15,22,23,25,28,41,44,61,89,98,134,137,228],[1,
4,12,24,27,41,98,101,229],[1,4,6,12,22,23,24,27,28,41,61,98,101,128,142,230],[
1,4,6,13,22,28,29,30,38,41,78,86,88,231],[1,3,4,12,13,15,17,24,25,27,44,60,71,
75,89,92,97,101,131,232],[1,3,4,6,13,22,25,28,30,38,41,53,78,88,134,139,233],[
1,4,6,13,22,28,30,38,41,78,88,234],[1,2,3,4,12,13,16,17,18,29,41,59,86,88,118,
130,235],[1,4,5,6,13,23,26,29,33,41,45,84,86,88,236],[1,4,6,13,15,22,24,27,28,
29,30,38,60,78,86,136,145,237],[1,4,6,13,22,28,29,30,38,41,78,86,88,238],[1,3,
4,6,12,15,22,23,25,28,29,44,61,89,100,140,150,239],[1,4,5,6,13,19,20,22,23,26,
28,30,31,32,33,35,38,40,43,45,78,84,121,122,124,125,132,146,240],[1,3,4,12,15,
17,24,25,27,44,77,89,90,92,97,101,131,241],[1,4,6,13,15,22,24,27,28,30,38,41,
60,78,88,137,149,242],[1,4,6,13,15,22,24,27,28,29,30,38,60,78,86,135,147,
243],[1,2,3,4,5,6,14,16,23,26,30,31,32,33,34,35,36,37,38,39,40,42,43,45,63,70,
80,105,106,110,111,115,120,121,127,129,133,144,148,244],[1,3,4,5,6,17,20,21,
23,26,28,30,31,32,33,35,36,38,39,40,42,43,45,91,93,105,106,107,108,109,111,
117,119,121,123,127,146,245],[1,3,4,5,6,15,17,24,26,27,28,29,39,41,44,45,91,
97,114,116,118,147,149,246],[1,3,4,5,6,17,20,21,22,23,26,30,31,32,33,35,36,38,
39,40,42,43,45,81,87,104,105,106,108,111,112,119,121,122,123,126,129,247],[1,
3,4,6,15,17,23,24,27,28,29,30,41,42,44,92,93,142,143,145,149,150,248],[1,3,4,
5,6,17,25,26,27,28,29,39,41,44,45,90,91,113,118,139,145,152,249],[1,2,4,5,6,
18,19,21,23,26,28,30,31,32,33,34,35,36,37,38,40,43,45,79,95,107,110,117,121,
123,126,129,132,133,138,141,148,250],[1,2,4,5,6,14,18,20,22,26,28,30,31,32,33,
34,35,36,37,38,40,43,45,70,74,79,85,104,109,110,117,122,126,138,144,146,148,
251],[1,2,3,4,6,16,18,23,25,27,28,29,37,38,41,44,95,96,130,139,140,142,145,
252],[1,2,3,4,5,6,16,19,20,21,22,28,30,31,32,33,34,35,36,37,38,39,40,42,43,45,
62,68,102,105,106,107,115,117,119,120,122,124,133,141,148,253],[1,2,3,4,6,15,
16,22,25,28,37,41,42,58,102,103,134,137,139,149,254],[1,4,5,6,12,19,20,21,22,
23,28,30,31,32,33,35,36,38,40,43,45,61,69,72,104,107,112,117,122,123,124,125,
127,129,132,146,255],[1,3,4,5,6,15,17,22,24,26,27,29,33,39,41,44,81,92,116,
136,137,143,152,256],[1,2,3,4,6,16,18,22,24,27,28,29,37,42,44,82,99,102,135,
136,145,147,257],[1,2,3,4,5,6,15,16,23,25,26,29,34,39,58,80,82,113,116,140,
150,258],[1,2,3,4,5,6,16,18,22,25,26,27,29,34,41,44,45,85,96,113,130,134,136,
152,259],[1,2,4,5,6,18,19,21,22,23,26,30,31,32,33,34,35,36,37,38,40,43,45,83,
85,104,109,110,112,121,123,124,127,133,138,141,148,260],[1,2,4,5,6,15,18,26,
27,28,29,33,34,41,56,79,116,145,149,151,152,261],[1,2,4,6,15,18,22,23,27,29,
30,37,41,56,83,136,137,142,150,151,262],[1,2,4,6,15,18,23,24,28,29,37,38,41,
57,95,128,130,147,149,150,263],[1,2,3,4,5,6,16,19,20,21,23,26,30,31,32,33,34,
35,36,37,38,39,40,42,43,45,67,74,80,106,109,110,111,115,119,120,123,125,126,
141,148,264],[1,2,3,4,6,16,18,22,23,24,25,29,30,37,41,44,83,94,128,134,135,
140,151,265],[1,3,4,5,6,17,19,20,21,22,23,28,30,31,32,33,35,38,39,40,42,43,45,
64,68,87,93,105,107,108,112,119,124,125,127,129,132,266],[1,3,4,6,15,17,22,23,
24,27,29,38,41,42,44,87,97,118,128,135,137,150,267],[1,3,4,5,6,14,17,19,22,26,
28,30,31,32,33,35,36,38,39,40,42,43,45,63,67,81,91,104,106,108,109,111,117,
124,126,132,144,268],[1,2,3,4,5,6,16,19,20,21,22,28,30,31,32,33,34,35,36,37,
38,39,40,42,43,45,64,66,102,104,105,110,111,112,115,119,120,132,133,141,146,
269],[1,3,4,5,6,17,22,24,25,26,29,33,39,41,44,77,81,113,114,134,135,143,270],[
1,3,4,6,17,23,24,25,28,29,30,41,42,44,77,93,128,139,140,143,147,271],[1,2,3,4,
5,6,16,18,23,24,26,27,34,39,41,44,80,99,103,114,128,142,152,272],[1,2,3,4,5,6,
16,18,24,25,26,28,29,33,34,41,44,79,94,113,114,139,147,151,273],[1,3,4,6,17,
22,23,25,27,29,38,41,42,44,87,90,118,134,136,140,142,274],[1,2,4,5,6,18,19,20,
21,22,23,28,30,31,32,33,34,35,37,38,40,43,45,62,66,83,95,107,112,122,125,127,
129,133,138,141,146,275],[1,2,4,5,6,15,18,22,24,26,29,34,41,45,57,85,114,116,
130,135,137,276],[1,5,7,8,9,47,51,153,277],[1,2,10,46,156,278],[1,2,5,6,34,46,
154,155,156,279],[1,2,6,37,46,155,156,280],[1,2,4,8,15,18,27,49,56,164,281],[
1,2,3,4,8,15,16,25,49,58,164,282],[1,4,5,8,15,26,29,47,116,164,283],[1,4,6,8,
15,22,41,48,137,164,284],[1,2,4,8,15,18,24,49,57,164,285],[1,4,6,8,15,28,41,
48,149,164,286],[1,4,6,8,15,23,29,48,150,164,287],[1,2,5,6,8,10,34,37,47,48,
49,73,165,173,174,288],[1,2,6,8,20,31,37,49,62,167,289],[1,4,5,6,7,12,38,45,
51,69,168,290],[1,2,6,8,20,32,37,49,66,167,291],[1,2,5,6,8,20,34,36,49,74,167,
292],[1,3,5,6,9,19,36,39,50,67,169,293],[1,3,5,6,9,14,39,40,50,63,158,294],[1,
3,4,9,13,24,44,50,75,166,295],[1,2,3,4,9,10,16,18,50,54,162,296],[1,4,5,6,7,
12,30,33,51,72,168,297],[1,3,6,9,19,31,42,50,68,169,298],[1,3,4,9,13,27,44,50,
71,166,299],[1,4,5,7,12,26,51,52,168,300],[1,3,5,6,7,11,39,42,51,65,160,301],[
1,2,5,6,7,10,34,37,51,73,157,302],[1,3,4,9,13,25,50,53,166,303],[1,3,6,9,19,
32,42,50,64,169,304],[1,2,5,6,8,14,34,35,49,70,159,305],[1,3,4,9,11,25,44,50,
76,163,306],[1,2,3,4,8,11,16,17,49,55,161,307],[1,5,7,46,51,154,176,308],[1,2,
3,4,5,6,10,11,12,13,16,17,18,22,23,26,28,30,33,34,37,38,39,42,45,52,54,55,59,
61,65,69,72,73,78,79,80,81,83,84,85,87,91,93,95,102,108,115,120,138,177,185,
188,199,201,212,226,309],[1,2,3,4,10,11,12,13,15,16,17,18,24,25,27,44,53,54,
55,56,57,58,59,60,71,75,76,77,89,90,92,94,96,97,99,101,131,177,183,187,190,
204,205,211,310],[1,2,3,4,12,13,15,16,17,18,24,25,27,44,56,57,59,60,71,75,77,
89,90,92,94,96,97,99,101,131,178,190,204,211,232,241,311],[1,3,4,6,13,21,22,
25,28,30,31,32,38,41,53,78,88,107,112,134,139,182,233,234,312],[1,4,5,12,24,
26,27,41,52,98,101,114,152,178,215,229,313],[1,3,4,5,11,12,15,25,26,29,44,52,
76,89,100,113,116,179,195,217,314],[1,2,3,4,11,12,13,15,16,17,18,24,25,27,44,
53,55,56,57,58,59,60,71,75,76,77,89,90,92,94,96,97,99,101,131,179,187,191,204,
205,211,232,241,315],[1,3,4,5,6,13,14,21,23,25,26,29,33,36,43,45,53,84,86,113,
123,140,144,184,207,219,316],[1,2,3,4,5,6,12,13,15,16,17,18,22,23,24,25,26,27,
28,29,33,34,39,44,45,52,53,58,59,60,61,77,79,80,81,82,84,85,86,89,90,91,94,96,
100,113,116,140,150,185,186,187,195,219,227,239,258,317],[1,2,3,4,6,12,13,15,
16,17,18,22,23,24,27,28,29,30,37,38,42,44,56,57,59,60,61,78,82,83,86,87,92,93,
95,97,99,100,101,102,135,136,145,147,186,188,190,208,209,237,243,257,318],[1,
2,3,4,6,12,13,15,16,17,18,22,23,24,25,27,28,30,37,38,41,42,44,53,58,59,60,61,
77,78,83,87,88,89,90,93,94,95,96,98,102,103,134,137,139,149,187,188,189,206,
228,233,242,254,319],[1,2,3,4,10,11,12,13,16,17,18,29,41,54,55,59,82,86,88,98,
100,103,118,130,143,151,177,186,189,197,200,214,221,224,235,320],[1,2,3,4,5,6,
12,13,15,16,17,18,22,23,24,26,27,28,33,34,39,41,44,45,52,56,57,59,60,61,79,80,
81,84,85,88,91,92,97,98,99,101,103,114,128,142,152,185,189,190,198,215,225,
230,272,321],[1,2,3,4,10,16,18,29,41,54,82,103,130,151,197,322],[1,2,3,4,11,
16,17,29,41,55,82,103,118,143,221,323],[1,2,3,4,5,6,11,14,16,17,19,20,21,22,
23,26,28,30,31,32,33,34,35,36,37,38,39,40,42,43,45,55,62,63,64,65,66,67,68,70,
74,80,81,87,91,93,102,104,105,106,107,108,109,110,111,112,115,117,119,120,121,
122,123,124,125,126,127,129,132,133,141,144,146,148,180,194,199,244,245,247,
253,264,266,268,269,324],[1,2,3,4,5,6,10,14,16,18,19,20,21,22,23,26,28,30,31,
32,33,34,35,36,37,38,39,40,42,43,45,54,62,63,64,66,67,68,70,73,74,79,80,83,85,
95,102,104,105,106,107,109,110,111,112,115,117,119,120,121,122,123,124,125,
126,127,129,132,133,138,141,144,146,148,181,193,226,244,250,251,253,260,264,
269,275,325],[1,4,6,12,22,23,24,27,28,29,41,61,98,100,101,128,135,136,142,145,
147,178,196,203,208,209,222,230,326],[1,2,3,4,5,6,12,13,15,16,17,18,22,23,24,
25,26,27,28,29,33,34,39,41,44,45,52,56,59,61,71,79,80,81,84,85,89,90,91,94,96,
97,98,99,100,101,113,114,116,118,131,139,145,147,149,151,152,185,195,200,204,
206,208,215,246,249,261,273,327],[1,2,3,4,5,6,12,13,14,16,17,18,19,20,21,22,
23,26,28,30,31,32,33,34,35,36,37,38,39,40,42,43,45,52,59,61,63,67,69,70,72,74,
78,79,80,81,83,84,85,87,91,93,95,104,105,106,107,108,109,110,111,112,115,117,
119,120,121,122,123,124,125,126,127,129,132,133,138,141,144,146,148,184,185,
192,201,212,213,240,244,245,247,250,251,255,260,264,268,328],[1,2,3,4,12,13,
15,16,17,18,24,25,27,29,41,44,56,59,71,82,86,89,90,94,96,97,98,99,100,101,130,
131,143,186,196,204,210,217,222,224,329],[1,2,3,4,12,13,15,16,17,18,24,25,27,
29,41,44,56,59,71,88,89,90,94,96,97,98,99,100,101,103,130,131,143,189,203,204,
218,220,224,229,330],[1,4,5,6,13,15,19,20,22,23,24,26,27,28,29,30,31,32,33,35,
38,40,43,45,60,78,84,86,116,121,122,124,125,132,135,136,145,146,147,150,207,
223,227,237,240,243,331],[1,4,6,13,15,21,22,24,27,28,29,30,31,32,38,41,60,78,
86,88,107,112,135,136,137,145,147,149,182,223,231,237,238,242,243,332],[1,3,4,
5,12,15,17,24,25,26,27,29,41,44,52,77,89,90,92,97,98,100,101,113,114,116,131,
152,195,210,215,218,222,241,333],[1,4,5,6,13,15,22,23,24,26,27,28,29,30,31,32,
33,35,36,38,40,41,45,60,78,84,86,88,104,109,114,116,117,126,127,128,129,136,
145,150,198,202,207,213,227,231,237,334],[1,3,4,5,6,13,22,23,25,26,28,29,30,
31,32,33,35,36,38,40,41,45,53,78,84,86,88,104,109,113,117,126,127,129,134,139,
140,202,213,219,223,233,236,335],[1,2,3,4,5,6,12,13,16,17,18,22,23,26,28,29,
30,33,34,37,38,39,41,42,45,59,69,78,84,85,86,87,88,91,95,98,103,108,115,138,
143,151,189,201,202,214,216,234,238,336],[1,2,3,4,5,6,12,13,15,16,17,18,22,23,
24,26,27,28,29,30,33,34,37,38,39,41,42,44,45,56,57,59,60,72,78,79,81,83,84,86,
88,92,93,97,99,101,108,116,120,136,137,138,142,143,145,149,150,151,152,190,
212,214,225,227,237,242,248,256,261,262,337],[1,2,3,4,5,6,12,13,15,16,17,18,
22,23,24,25,26,27,28,29,30,33,34,37,38,39,41,42,44,45,53,58,59,60,69,77,78,84,
85,86,87,88,89,90,91,94,95,96,108,113,115,118,130,134,136,138,139,140,142,145,
152,187,201,219,225,233,235,237,249,252,259,274,338],[1,2,3,4,5,6,12,13,15,16,
17,18,22,23,24,25,26,27,28,29,30,33,34,37,38,39,41,42,44,45,53,58,59,60,72,77,
78,79,81,83,84,86,88,89,90,93,94,96,108,113,114,120,128,134,135,138,139,140,
143,147,151,187,198,212,214,219,233,243,265,270,271,273,339],[1,2,3,4,5,6,12,
13,16,17,18,19,20,21,22,23,26,28,30,31,32,33,34,35,36,37,38,39,40,42,43,45,59,
61,62,64,66,68,69,72,78,79,81,83,84,85,87,91,93,95,102,104,105,106,107,108,
109,110,111,112,115,117,119,120,121,122,123,124,125,126,127,129,132,133,138,
141,146,148,182,188,201,212,213,240,245,247,250,253,255,260,266,269,275,340],[
1,2,3,4,5,6,12,13,16,17,18,22,23,26,28,29,30,33,34,37,38,39,41,42,45,59,69,78,
82,84,85,86,87,88,91,95,100,108,115,138,143,151,186,201,207,214,223,231,236,
341],[1,3,4,5,6,13,19,20,22,23,25,26,28,29,30,31,32,33,35,38,40,41,43,45,53,
78,84,86,88,113,121,122,124,125,132,134,139,140,146,216,219,231,233,238,240,
342],[1,3,4,6,12,15,17,22,23,24,25,27,28,41,44,61,77,89,90,92,97,98,101,128,
131,134,137,139,142,149,206,220,228,229,230,241,343],[1,2,3,4,12,13,15,16,17,
18,24,25,27,29,41,44,53,58,59,60,77,89,90,94,96,98,100,118,130,143,151,187,
200,210,217,218,220,224,344],[1,4,5,6,13,15,19,20,22,23,24,26,27,28,29,30,31,
32,33,35,38,40,41,43,45,60,78,84,86,88,121,122,124,125,132,135,137,142,146,
147,149,152,202,225,231,234,240,242,243,345],[1,4,5,6,13,15,22,23,24,26,27,28,
29,30,31,32,33,35,36,38,40,41,45,60,78,84,86,88,104,109,116,117,126,127,129,
135,142,147,150,152,207,213,225,227,236,238,243,346],[1,2,3,4,6,12,13,15,16,
17,18,22,23,24,25,27,28,29,30,37,38,41,42,44,57,59,61,75,77,78,83,87,89,92,93,
94,95,96,98,99,100,101,102,128,130,131,139,140,142,143,145,147,149,150,188,
206,208,211,224,230,239,248,252,263,271,347],[1,2,3,4,12,13,15,16,17,18,24,25,
27,29,41,44,57,59,75,77,82,86,89,92,94,96,98,99,100,101,118,131,151,186,200,
203,211,217,218,222,348],[1,4,5,6,13,15,22,23,24,26,27,28,30,31,32,33,35,36,
38,40,41,45,60,78,84,88,104,109,114,117,126,127,128,129,137,142,149,152,198,
213,216,225,234,242,349],[1,2,3,4,5,6,12,13,16,17,18,22,23,26,28,29,33,34,39,
41,45,52,59,61,79,80,81,84,85,86,88,91,118,130,143,151,185,202,207,214,216,
235,236,350],[1,2,3,4,5,6,12,13,16,17,18,22,23,26,28,29,30,33,34,37,38,39,41,
42,45,59,72,78,79,81,82,83,84,86,88,93,100,108,118,120,130,138,186,202,207,
212,223,235,238,351],[1,4,5,6,13,14,15,21,23,24,26,27,29,33,36,41,43,45,60,84,
86,88,114,116,123,128,142,144,150,152,184,198,202,216,225,227,236,352],[1,2,3,
4,5,6,12,13,16,17,18,22,23,26,28,29,30,33,34,37,38,39,41,42,45,59,72,78,79,81,
83,84,86,88,93,98,103,108,118,120,130,138,189,212,216,231,234,235,236,353],[1,
3,4,6,11,12,15,22,23,25,28,29,41,44,61,76,89,98,100,134,137,139,140,149,150,
179,206,210,218,220,228,239,354],[1,2,3,4,6,12,13,15,16,17,18,22,23,24,25,27,
28,29,30,37,38,41,42,44,56,59,61,71,78,83,87,89,90,93,94,95,96,97,98,99,100,
101,102,118,128,131,134,135,136,137,140,142,150,151,188,200,204,209,228,230,
239,262,265,267,274,355],[1,3,4,6,12,13,15,17,22,23,24,25,27,28,29,41,44,60,
61,71,75,89,92,97,98,100,101,128,131,135,136,139,142,149,196,206,209,218,229,
230,232,356],[1,4,5,6,13,15,19,20,22,23,24,26,27,28,29,30,31,32,33,35,38,40,
41,43,45,60,78,84,86,88,114,121,122,124,125,128,132,136,137,145,146,149,198,
234,236,237,238,240,242,357],[1,3,4,5,12,13,15,17,24,25,26,27,29,41,44,52,60,
71,75,89,92,97,98,100,101,113,114,116,131,152,195,196,203,215,220,232,358],[1,
2,3,4,5,6,12,13,15,16,17,18,22,23,24,25,26,27,28,29,33,34,39,41,44,45,52,57,
59,61,75,77,79,80,81,84,85,89,91,92,94,96,98,99,100,101,113,114,116,130,131,
134,135,136,137,143,152,185,195,209,211,215,224,228,256,259,270,276,359],[1,2,
3,4,12,13,15,16,17,18,24,27,29,41,44,56,57,59,60,92,97,98,99,100,101,118,130,
143,151,190,196,200,203,222,224,229,360],[1,3,4,6,12,13,15,17,22,23,24,25,27,
28,29,44,60,61,71,75,89,92,97,100,101,131,135,136,140,145,147,150,208,209,217,
222,232,239,361],[1,2,3,4,12,13,15,16,17,18,24,25,27,29,41,44,57,59,75,77,88,
89,92,94,96,98,99,100,101,103,118,131,151,189,196,200,210,211,220,229,362],[1,
3,4,6,12,15,17,22,23,24,25,27,28,29,41,44,61,77,89,90,92,97,98,100,101,131,
135,136,139,140,149,150,203,206,209,210,217,239,241,363],[1,3,4,6,12,13,15,17,
22,23,24,25,27,28,29,41,44,60,61,71,75,89,92,97,98,100,101,128,131,134,137,
142,145,147,203,208,210,228,229,230,232,364],[1,3,4,6,12,15,17,22,23,24,25,27,
28,29,41,44,61,77,89,90,92,97,98,100,101,131,134,137,140,145,147,150,196,208,
217,218,228,239,241,365],[1,2,3,4,5,6,12,13,15,16,17,18,22,23,24,26,27,28,29,
30,33,34,37,38,39,41,42,44,45,56,57,59,60,69,78,84,85,86,87,88,91,92,95,97,99,
101,108,114,115,116,118,128,130,135,137,138,147,149,150,190,198,201,227,235,
242,243,246,263,267,276,366],[1,2,3,4,6,12,13,16,17,18,22,23,28,29,30,37,38,
41,42,59,61,78,83,86,87,88,93,95,102,118,130,143,151,188,214,223,231,234,235,
238,367],[1,2,3,4,5,6,11,15,16,17,18,22,23,24,25,26,27,28,29,30,33,34,37,38,
39,41,42,44,45,55,58,65,76,77,80,81,82,87,90,91,92,93,94,96,97,99,102,103,108,
113,114,115,116,118,120,128,131,134,135,136,137,139,140,142,143,145,147,149,
150,152,199,205,221,246,248,249,254,256,257,258,267,270,271,272,274,368],[1,2,
3,4,5,6,10,15,16,18,22,23,24,25,26,27,28,29,30,33,34,37,38,39,41,42,44,45,54,
56,57,58,73,79,80,82,83,85,94,95,96,99,102,103,113,114,115,116,120,128,130,
134,135,136,137,138,139,140,142,145,147,149,150,151,152,183,197,226,252,254,
257,258,259,261,262,263,265,272,273,276,369],[1,2,7,8,9,10,49,153,157,162,165,
370],[1,5,7,8,9,14,51,153,158,159,170,171,371],[1,3,7,8,9,11,50,153,160,161,
163,172,372],[1,2,5,6,10,34,37,46,73,154,155,156,278,279,280,373],[1,3,4,8,11,
12,15,25,44,76,89,161,164,179,374],[1,2,3,4,9,10,11,12,13,16,17,18,54,55,59,
162,163,166,177,375],[1,2,3,4,7,10,11,12,13,16,17,18,54,55,59,157,160,168,177,
376],[1,2,5,6,9,10,14,19,21,34,35,37,70,73,141,158,162,169,181,377],[1,3,5,6,
8,11,14,20,21,39,40,42,63,65,119,159,161,167,180,378],[1,4,7,12,24,27,101,168,
178,379],[1,3,4,7,11,12,15,25,44,76,89,160,168,179,380],[1,3,4,9,11,12,15,25,
44,50,76,89,163,172,179,306,381],[1,2,5,6,9,10,14,19,21,34,35,37,70,73,141,
162,170,175,181,382],[1,2,3,4,8,10,11,12,13,16,17,18,49,54,55,59,161,165,177,
307,383],[1,2,5,6,7,10,14,19,21,34,35,37,51,70,73,141,157,171,181,302,384],[1,
2,5,6,8,10,14,19,21,34,35,37,49,70,73,141,159,165,181,305,385],[1,3,5,6,7,11,
14,20,21,39,40,42,51,63,65,119,160,171,180,301,386],[1,3,5,6,9,11,14,20,21,39,
40,42,50,63,65,119,158,172,180,294,387],[1,2,3,4,9,10,11,12,13,16,17,18,50,54,
55,59,162,172,177,296,388],[1,3,5,6,9,11,14,20,21,39,40,42,63,65,119,163,170,
175,180,389],[1,4,5,6,9,13,14,21,23,26,33,36,43,45,84,123,144,166,170,175,184,
390],[1,2,3,4,6,8,15,16,22,25,28,37,41,42,48,49,58,102,103,134,137,139,149,
164,173,254,282,284,286,391],[1,2,3,4,5,6,8,15,16,23,25,26,29,34,39,47,48,49,
58,80,82,113,116,140,150,164,174,258,282,283,287,392],[1,2,4,6,8,15,18,23,24,
28,29,37,38,41,48,49,57,95,128,130,147,149,150,164,173,263,285,286,287,393],[
1,2,4,5,6,8,15,18,26,27,28,29,33,34,41,47,48,49,56,79,116,145,149,151,152,164,
174,261,281,283,286,394],[1,2,3,4,8,10,15,16,18,24,25,27,44,49,54,56,57,58,94,
96,99,164,165,183,281,282,285,395],[1,4,6,9,13,21,22,28,30,31,32,38,78,107,
112,166,175,182,396],[1,2,4,6,8,15,18,22,23,27,29,30,37,41,48,49,56,83,136,
137,142,150,151,164,173,262,281,284,287,397],[1,2,4,5,6,8,15,18,22,24,26,29,
34,41,45,47,48,49,57,85,114,116,130,135,137,164,174,276,283,284,285,398],[1,4,
5,6,7,12,14,26,30,33,35,36,38,40,43,45,51,52,69,72,109,121,126,144,168,171,
192,290,297,300,399],[1,3,5,6,9,11,19,31,32,35,36,39,42,43,50,64,65,67,68,105,
106,111,169,172,194,293,298,304,400],[1,2,5,6,8,10,20,31,32,34,36,37,40,43,49,
62,66,73,74,110,133,148,165,167,193,289,291,292,401],[1,3,4,9,11,13,17,24,25,
27,44,50,53,71,75,76,77,90,131,166,172,191,295,299,303,402],[1,5,8,14,46,47,
154,159,403],[1,6,8,20,46,48,155,167,404],[1,2,7,10,46,156,157,176,278,405],[
1,2,3,4,10,11,12,13,15,16,17,18,24,25,27,44,53,54,55,56,57,58,59,60,71,75,76,
77,89,90,92,94,96,97,99,101,131,177,178,179,183,187,190,191,204,205,211,232,
241,310,311,315,406],[1,2,3,4,5,6,10,11,12,13,14,16,17,18,19,20,21,22,23,26,
28,30,31,32,33,34,35,36,37,38,39,40,42,43,45,52,54,55,59,61,62,63,64,65,66,67,
68,69,70,72,73,74,78,79,80,81,83,84,85,87,91,93,95,102,104,105,106,107,108,
109,110,111,112,115,117,119,120,121,122,123,124,125,126,127,129,132,133,138,
141,144,146,148,177,180,181,182,184,185,188,192,193,194,199,201,212,213,226,
240,244,245,247,250,251,253,255,260,264,266,268,269,275,309,324,325,328,340,
407],[1,2,3,4,10,11,12,13,16,17,18,29,41,54,55,59,82,86,88,98,100,103,118,130,
143,151,177,186,189,197,200,214,221,224,235,320,322,408],[1,2,3,4,10,11,12,13,
16,17,18,29,41,54,55,59,82,86,88,98,100,103,118,130,143,151,177,186,189,197,
200,214,221,224,235,320,323,409],[1,2,3,4,5,6,10,11,12,13,15,16,17,18,22,23,
24,25,26,27,28,29,30,33,34,37,38,39,41,42,44,45,52,53,54,55,56,57,58,59,60,61,
65,69,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,
96,97,98,99,100,101,102,103,108,113,114,115,116,118,120,128,130,131,134,135,
136,137,138,139,140,142,143,145,147,149,150,151,152,177,183,185,186,187,188,
189,190,195,197,198,199,200,201,204,205,206,208,209,211,212,214,215,219,221,
224,225,226,227,228,230,233,235,237,239,242,243,246,248,249,252,254,256,257,
258,259,261,262,263,265,267,270,271,272,273,274,276,309,310,317,318,319,320,
321,327,337,338,339,347,355,359,366,368,369,410],[1,2,3,4,5,6,10,11,12,13,16,
17,18,22,23,26,28,29,30,33,34,37,38,39,41,42,45,52,54,55,59,61,65,69,72,73,78,
79,80,81,82,83,84,85,86,87,88,91,93,95,98,100,102,103,108,115,118,120,130,138,
143,151,177,185,186,188,189,197,199,200,201,202,207,212,214,216,221,223,224,
226,231,234,235,236,238,309,320,336,341,350,351,353,367,411],[1,2,3,4,10,11,
12,13,15,16,17,18,24,25,27,29,41,44,53,54,55,56,57,58,59,60,71,75,76,77,82,86,
88,89,90,92,94,96,97,98,99,100,101,103,118,130,131,143,151,177,183,186,187,
189,190,196,197,200,203,204,205,210,211,214,217,218,220,221,222,224,229,235,
310,320,329,330,344,348,360,362,412],[1,2,3,4,5,6,12,13,15,16,17,18,19,20,21,
22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,56,57,59,
60,61,62,64,66,68,69,72,78,79,81,82,83,84,85,86,87,88,91,92,93,95,97,99,100,
101,102,104,105,106,107,108,109,110,111,112,114,115,116,117,118,119,120,121,
122,123,124,125,126,127,128,129,130,132,133,135,136,137,138,141,142,143,145,
146,147,148,149,150,151,152,182,186,188,190,198,201,202,207,208,209,212,213,
214,223,225,227,231,234,235,236,237,238,240,242,243,245,246,247,248,250,253,
255,256,257,260,261,262,263,266,267,269,275,276,318,331,332,334,337,340,341,
345,346,351,357,366,367,413],[1,2,3,4,6,11,12,13,15,16,17,18,22,23,24,25,27,
28,29,30,37,38,41,42,44,53,55,56,57,58,59,60,61,71,75,76,77,78,83,87,88,89,90,
92,93,94,95,96,97,98,99,100,101,102,103,118,128,130,131,134,135,136,137,139,
140,142,143,145,147,149,150,151,179,187,188,189,191,196,200,203,204,205,206,
208,209,210,211,217,218,220,224,228,229,230,232,233,239,241,242,248,252,254,
262,263,265,267,271,274,315,319,330,343,344,347,354,355,356,362,363,364,365,
414],[1,2,3,4,5,6,11,12,13,15,16,17,18,22,23,24,25,26,27,28,29,33,34,39,41,44,
45,52,53,55,56,57,58,59,60,61,71,75,76,77,79,80,81,82,84,85,86,89,90,91,92,94,
96,97,98,99,100,101,113,114,116,118,130,131,134,135,136,137,139,140,143,145,
147,149,150,151,152,179,185,186,187,191,195,196,200,203,204,205,206,208,209,
210,211,215,217,218,219,220,222,224,227,228,232,239,241,246,249,256,258,259,
261,270,273,276,314,315,317,327,329,333,344,348,354,358,359,361,363,365,415],[
1,2,3,4,5,6,12,13,15,16,17,18,22,23,24,25,26,27,28,29,33,34,39,41,44,45,52,56,
57,59,60,61,71,75,77,79,80,81,84,85,88,89,90,91,92,94,96,97,98,99,100,101,103,
113,114,116,118,128,130,131,134,135,136,137,139,142,143,145,147,149,151,152,
178,185,189,190,195,196,198,200,203,204,206,208,209,210,211,215,218,220,222,
224,225,228,229,230,232,241,246,249,256,259,261,270,272,273,276,311,313,321,
326,327,330,333,343,356,358,359,360,362,364,416],[1,2,3,4,5,6,12,13,14,15,16,
17,18,19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,
44,45,52,56,57,59,60,61,63,67,69,70,72,74,78,79,80,81,83,84,85,86,87,88,91,92,
93,95,97,98,99,101,103,104,105,106,107,108,109,110,111,112,114,115,116,117,
118,119,120,121,122,123,124,125,126,127,128,129,130,132,133,135,136,137,138,
141,142,143,144,145,146,147,148,149,150,151,152,184,185,189,190,192,198,201,
202,207,212,213,214,215,216,225,227,230,231,234,235,236,237,238,240,242,243,
244,245,246,247,248,250,251,255,256,260,261,262,263,264,267,268,272,276,321,
328,334,336,337,345,346,349,350,352,353,357,366,417],[1,2,3,4,5,6,12,13,14,15,
16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,
42,43,44,45,52,53,58,59,60,61,63,67,69,70,72,74,77,78,79,80,81,82,83,84,85,86,
87,88,89,90,91,93,94,95,96,100,104,105,106,107,108,109,110,111,112,113,114,
115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,132,133,134,
135,136,138,139,140,141,142,143,144,145,146,147,148,150,151,152,184,185,186,
187,192,195,198,201,202,207,212,213,214,216,219,223,225,227,231,233,235,236,
237,238,239,240,243,244,245,247,249,250,251,252,255,258,259,260,264,265,268,
270,271,273,274,316,317,328,331,334,335,338,339,341,342,346,350,351,352,418],[
1,2,3,4,5,6,12,13,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,
35,36,37,38,39,40,41,42,43,44,45,53,58,59,60,61,62,64,66,68,69,72,77,78,79,81,
83,84,85,86,87,88,89,90,91,93,94,95,96,98,102,103,104,105,106,107,108,109,110,
111,112,113,114,115,117,118,119,120,121,122,123,124,125,126,127,128,129,130,
132,133,134,135,136,137,138,139,140,141,142,143,145,146,147,148,149,151,152,
182,187,188,189,198,201,202,206,212,213,214,216,219,223,225,228,231,233,234,
235,236,237,238,240,242,243,245,247,249,250,252,253,254,255,259,260,265,266,
269,270,271,273,274,275,312,319,332,335,336,338,339,340,342,345,349,353,357,
367,419],[1,2,3,4,6,12,13,15,16,17,18,22,23,24,25,27,28,29,30,37,38,41,42,44,
56,57,59,60,61,71,75,77,78,82,83,86,87,89,90,92,93,94,95,96,97,98,99,100,101,
102,118,128,130,131,134,135,136,137,139,140,142,143,145,147,149,150,151,178,
186,188,190,196,200,203,204,206,208,209,210,211,217,218,222,224,228,229,230,
232,237,239,241,243,248,252,257,262,263,265,267,271,274,311,318,326,329,347,
348,355,356,360,361,363,364,365,420],[1,2,5,6,7,8,9,10,34,37,47,48,49,51,73,
153,157,162,165,173,174,277,288,302,370,421],[1,4,12,24,27,46,101,178,422],[1,
3,4,5,8,11,12,15,25,26,29,44,47,52,76,89,100,113,116,161,164,179,195,217,283,
314,374,423],[1,3,4,6,8,11,12,15,22,23,25,28,29,41,44,48,61,76,89,98,100,134,
137,139,140,149,150,161,164,179,206,210,218,220,228,239,284,286,287,354,374,
424],[1,2,3,4,8,11,12,13,15,16,17,18,24,25,27,44,49,53,55,56,57,58,59,60,71,
75,76,77,89,90,92,94,96,97,99,101,131,161,164,179,187,191,204,205,211,232,241,
281,282,285,307,315,374,425],[1,2,3,4,5,6,9,10,14,16,18,19,20,21,22,23,26,28,
30,31,32,33,34,35,36,37,38,39,40,42,43,45,50,54,62,63,64,66,67,68,70,73,74,79,
80,83,85,95,102,104,105,106,107,109,110,111,112,115,117,119,120,121,122,123,
124,125,126,127,129,132,133,138,141,144,146,148,158,162,169,181,193,226,244,
250,251,253,260,264,269,275,293,294,296,298,304,325,377,426],[1,2,3,4,5,6,7,
10,11,12,13,16,17,18,22,23,26,28,30,33,34,37,38,39,42,45,51,52,54,55,59,61,65,
69,72,73,78,79,80,81,83,84,85,87,91,93,95,102,108,115,120,138,157,160,168,177,
185,188,199,201,212,226,290,297,300,301,302,309,376,427],[1,2,3,4,9,10,11,12,
13,15,16,17,18,24,25,27,44,50,53,54,55,56,57,58,59,60,71,75,76,77,89,90,92,94,
96,97,99,101,131,162,163,166,177,183,187,190,204,205,211,295,296,299,303,306,
310,375,428],[1,2,3,4,8,11,16,17,29,41,49,55,82,103,118,143,161,221,307,323,
429],[1,2,3,4,9,10,16,18,29,41,50,54,82,103,130,151,162,197,296,322,430],[1,2,
3,4,5,6,8,11,14,16,17,19,20,21,22,23,26,28,30,31,32,33,34,35,36,37,38,39,40,
42,43,45,49,55,62,63,64,65,66,67,68,70,74,80,81,87,91,93,102,104,105,106,107,
108,109,110,111,112,115,117,119,120,121,122,123,124,125,126,127,129,132,133,
141,144,146,148,159,161,167,180,194,199,244,245,247,253,264,266,268,269,289,
291,292,305,307,324,378,431],[1,4,5,7,12,24,26,27,41,51,52,98,101,114,152,168,
178,215,229,300,313,379,432],[1,3,4,5,7,11,12,15,25,26,29,44,51,52,76,89,100,
113,116,160,168,179,195,217,300,314,380,433],[1,3,4,5,6,9,13,14,21,23,25,26,
29,33,36,43,45,50,53,84,86,113,123,140,144,166,170,175,184,207,219,303,316,
390,434],[1,2,3,4,5,6,8,10,15,16,18,22,23,24,25,26,27,28,29,30,33,34,37,38,39,
41,42,44,45,47,48,49,54,56,57,58,73,79,80,82,83,85,94,95,96,99,102,103,113,
114,115,116,120,128,130,134,135,136,137,138,139,140,142,145,147,149,150,151,
152,164,165,173,174,183,197,226,252,254,257,258,259,261,262,263,265,272,273,
276,281,282,283,284,285,286,287,288,369,391,392,393,394,395,397,398,435],[1,3,
4,6,9,13,21,22,25,28,30,31,32,38,41,50,53,78,88,107,112,134,139,166,175,182,
233,234,303,312,396,436],[1,2,6,8,20,32,37,46,48,49,66,155,156,167,173,280,
291,404,437],[1,2,5,6,8,14,34,35,46,47,48,49,70,154,155,156,159,174,279,305,
403,438],[1,2,5,6,8,20,34,36,46,47,48,49,74,154,155,156,167,174,279,292,404,
439],[1,2,6,8,20,31,37,46,48,49,62,155,156,167,173,280,289,404,440],[1,2,5,6,
7,10,34,37,46,51,73,154,155,156,157,176,278,279,280,302,308,373,405,441],[1,2,
3,4,5,6,10,11,12,13,15,16,17,18,22,23,24,25,26,27,28,29,30,33,34,37,38,39,41,
42,44,45,52,53,54,55,56,57,58,59,60,61,65,69,71,72,73,75,76,77,78,79,80,81,82,
83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,108,113,
114,115,116,118,120,128,130,131,134,135,136,137,138,139,140,142,143,145,147,
149,150,151,152,177,178,179,183,185,186,187,188,189,190,191,195,196,197,198,
199,200,201,203,204,205,206,208,209,210,211,212,214,215,217,218,219,220,221,
222,224,225,226,227,228,229,230,232,233,235,237,239,241,242,243,246,248,249,
252,254,256,257,258,259,261,262,263,265,267,270,271,272,273,274,276,309,310,
311,313,314,315,317,318,319,320,321,326,327,329,330,333,337,338,339,343,344,
347,348,354,355,356,358,359,360,361,362,363,364,365,366,368,369,406,410,412,
414,415,416,420,442],[1,2,3,4,5,6,10,11,12,13,14,15,16,17,18,19,20,21,22,23,
24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,52,53,54,55,
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,
144,145,146,147,148,149,150,151,152,177,180,181,182,183,184,185,186,187,188,
189,190,192,193,194,195,197,198,199,200,201,202,204,205,206,207,208,209,211,
212,213,214,215,216,219,221,223,224,225,226,227,228,230,231,233,234,235,236,
237,238,239,240,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,
257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,
276,309,310,312,316,317,318,319,320,321,324,325,327,328,331,332,334,335,336,
337,338,339,340,341,342,345,346,347,349,350,351,352,353,355,357,359,366,367,
368,369,407,410,411,413,417,418,419,443],[1,2,3,4,5,6,10,11,12,13,15,16,17,18,
22,23,24,25,26,27,28,29,30,33,34,37,38,39,41,42,44,45,52,53,54,55,56,57,58,59,
60,61,65,69,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,
94,95,96,97,98,99,100,101,102,103,108,113,114,115,116,118,120,128,130,131,134,
135,136,137,138,139,140,142,143,145,147,149,150,151,152,177,183,185,186,187,
188,189,190,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,
211,212,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,
231,233,234,235,236,237,238,239,242,243,246,248,249,252,254,256,257,258,259,
261,262,263,265,267,270,271,272,273,274,276,309,310,317,318,319,320,321,322,
323,327,329,330,336,337,338,339,341,344,347,348,350,351,353,355,359,360,362,
366,367,368,369,408,409,410,411,412,444],[1,3,4,7,8,9,11,12,15,25,44,50,76,89,
153,160,161,163,164,168,172,179,306,372,374,380,381,445],[1,2,5,6,7,8,9,10,14,
19,21,34,35,37,49,51,70,73,141,153,157,158,159,162,165,169,170,171,175,181,
302,305,370,371,377,382,384,385,446],[1,2,3,4,7,8,9,10,11,12,13,16,17,18,49,
50,54,55,59,153,157,160,161,162,163,165,166,168,172,177,296,307,370,372,375,
376,383,388,447],[1,3,5,6,7,8,9,11,14,20,21,39,40,42,50,51,63,65,119,153,158,
159,160,161,163,167,170,171,172,175,180,294,301,371,372,378,386,387,389,448],[
1,4,5,12,24,26,27,41,46,52,98,101,114,152,154,178,215,229,313,422,449],[1,2,3,
4,12,13,15,16,17,18,24,25,27,44,46,56,57,59,60,71,75,77,89,90,92,94,96,97,99,
101,131,156,178,190,204,211,232,241,311,422,450],[1,4,6,12,22,23,24,27,28,29,
41,46,61,98,100,101,128,135,136,142,145,147,155,178,196,203,208,209,222,230,
326,422,451],[1,5,7,8,9,14,46,47,51,153,154,158,159,170,171,176,277,308,371,
403,452],[1,2,3,4,7,10,11,12,13,15,16,17,18,24,25,27,44,53,54,55,56,57,58,59,
60,71,75,76,77,89,90,92,94,96,97,99,101,131,157,160,168,177,178,179,183,187,
190,191,204,205,211,232,241,310,311,315,376,379,380,406,453],[1,2,3,4,5,6,9,
10,11,12,13,14,16,17,18,19,20,21,22,23,26,28,30,31,32,33,34,35,36,37,38,39,40,
42,43,45,52,54,55,59,61,62,63,64,65,66,67,68,69,70,72,73,74,78,79,80,81,83,84,
85,87,91,93,95,102,104,105,106,107,108,109,110,111,112,115,117,119,120,121,
122,123,124,125,126,127,129,132,133,138,141,144,146,148,162,163,166,170,175,
177,180,181,182,184,185,188,192,193,194,199,201,212,213,226,240,244,245,247,
250,251,253,255,260,264,266,268,269,275,309,324,325,328,340,375,382,389,390,
396,407,454],[1,2,3,4,8,10,11,12,13,15,16,17,18,24,25,27,44,49,53,54,55,56,57,
58,59,60,71,75,76,77,89,90,92,94,96,97,99,101,131,161,164,165,177,178,179,183,
187,190,191,204,205,211,232,241,281,282,285,307,310,311,315,374,383,395,406,
425,455],[1,2,3,4,5,6,8,10,11,12,13,14,16,17,18,19,20,21,22,23,26,28,30,31,32,
33,34,35,36,37,38,39,40,42,43,45,49,52,54,55,59,61,62,63,64,65,66,67,68,69,70,
72,73,74,78,79,80,81,83,84,85,87,91,93,95,102,104,105,106,107,108,109,110,111,
112,115,117,119,120,121,122,123,124,125,126,127,129,132,133,138,141,144,146,
148,159,161,165,167,177,180,181,182,184,185,188,192,193,194,199,201,212,213,
226,240,244,245,247,250,251,253,255,260,264,266,268,269,275,289,291,292,305,
307,309,324,325,328,340,378,383,385,401,407,431,456],[1,2,3,4,9,10,11,12,13,
15,16,17,18,24,25,27,44,50,53,54,55,56,57,58,59,60,71,75,76,77,89,90,92,94,96,
97,99,101,131,162,163,166,172,177,178,179,183,187,190,191,204,205,211,232,241,
295,296,299,303,306,310,311,315,375,381,388,402,406,428,457],[1,2,3,4,5,6,9,
10,11,12,13,14,16,17,18,19,20,21,22,23,26,28,30,31,32,33,34,35,36,37,38,39,40,
42,43,45,50,52,54,55,59,61,62,63,64,65,66,67,68,69,70,72,73,74,78,79,80,81,83,
84,85,87,91,93,95,102,104,105,106,107,108,109,110,111,112,115,117,119,120,121,
122,123,124,125,126,127,129,132,133,138,141,144,146,148,158,162,169,172,177,
180,181,182,184,185,188,192,193,194,199,201,212,213,226,240,244,245,247,250,
251,253,255,260,264,266,268,269,275,293,294,296,298,304,309,324,325,328,340,
377,387,388,400,407,426,458],[1,2,3,4,5,6,7,10,11,12,13,14,16,17,18,19,20,21,
22,23,26,28,30,31,32,33,34,35,36,37,38,39,40,42,43,45,51,52,54,55,59,61,62,63,
64,65,66,67,68,69,70,72,73,74,78,79,80,81,83,84,85,87,91,93,95,102,104,105,
106,107,108,109,110,111,112,115,117,119,120,121,122,123,124,125,126,127,129,
132,133,138,141,144,146,148,157,160,168,171,177,180,181,182,184,185,188,192,
193,194,199,201,212,213,226,240,244,245,247,250,251,253,255,260,264,266,268,
269,275,290,297,300,301,302,309,324,325,328,340,376,384,386,399,407,427,459],[
1,2,3,4,6,8,11,12,13,15,16,17,18,22,23,24,25,27,28,29,30,37,38,41,42,44,48,49,
53,55,56,57,58,59,60,61,71,75,76,77,78,83,87,88,89,90,92,93,94,95,96,97,98,99,
100,101,102,103,118,128,130,131,134,135,136,137,139,140,142,143,145,147,149,
150,151,161,164,173,179,187,188,189,191,196,200,203,204,205,206,208,209,210,
211,217,218,220,224,228,229,230,232,233,239,241,242,248,252,254,262,263,265,
267,271,274,281,282,284,285,286,287,307,315,319,330,343,344,347,354,355,356,
362,363,364,365,374,391,393,397,414,424,425,460],[1,2,3,4,5,6,8,11,12,13,15,
16,17,18,22,23,24,25,26,27,28,29,33,34,39,41,44,45,47,48,49,52,53,55,56,57,58,
59,60,61,71,75,76,77,79,80,81,82,84,85,86,89,90,91,92,94,96,97,98,99,100,101,
113,114,116,118,130,131,134,135,136,137,139,140,143,145,147,149,150,151,152,
161,164,174,179,185,186,187,191,195,196,200,203,204,205,206,208,209,210,211,
215,217,218,219,220,222,224,227,228,232,239,241,246,249,256,258,259,261,270,
273,276,281,282,283,284,285,286,287,307,314,315,317,327,329,333,344,348,354,
358,359,361,363,365,374,392,394,398,415,423,424,425,461],[1,2,3,4,9,10,11,12,
13,16,17,18,29,41,50,54,55,59,82,86,88,98,100,103,118,130,143,151,162,172,177,
186,189,197,200,214,221,224,235,296,320,322,388,408,430,462],[1,2,3,4,8,10,11,
12,13,16,17,18,29,41,49,54,55,59,82,86,88,98,100,103,118,130,143,151,161,165,
177,186,189,197,200,214,221,224,235,307,320,323,383,409,429,463],[1,2,5,6,8,
10,14,19,21,34,35,37,46,47,48,49,70,73,141,154,155,156,159,165,173,174,181,
278,279,280,288,305,373,385,403,438,464],[1,4,7,12,24,27,46,101,168,176,178,
379,422,465],[1,2,5,6,8,10,20,31,32,34,36,37,40,43,46,47,48,49,62,66,73,74,
110,133,148,154,155,156,165,167,173,174,193,278,279,280,288,289,291,292,373,
401,404,437,439,440,466],[1,2,3,4,5,6,10,11,12,13,14,15,16,17,18,19,20,21,22,
23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,52,53,54,
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,
143,144,145,146,147,148,149,150,151,152,177,178,179,180,181,182,183,184,185,
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,
262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,309,310,311,312,
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,
406,407,408,409,410,411,412,413,414,415,416,417,418,419,420,442,443,444,467],[
1,3,4,5,7,8,9,11,12,15,25,26,29,44,47,50,51,52,76,89,100,113,116,153,160,161,
163,164,168,172,179,195,217,277,283,300,306,314,372,374,380,381,423,433,445,
468],[1,2,3,4,10,11,12,13,15,16,17,18,24,25,27,44,46,53,54,55,56,57,58,59,60,
71,75,76,77,89,90,92,94,96,97,99,101,131,156,177,178,179,183,187,190,191,204,
205,211,232,241,278,310,311,315,406,422,450,469],[1,2,3,4,5,6,12,13,15,16,17,
18,22,23,24,25,26,27,28,29,33,34,39,41,44,45,46,52,56,57,59,60,61,71,75,77,79,
80,81,84,85,88,89,90,91,92,94,96,97,98,99,100,101,103,113,114,116,118,128,130,
131,134,135,136,137,139,142,143,145,147,149,151,152,154,155,156,178,185,189,
190,195,196,198,200,203,204,206,208,209,210,211,215,218,220,222,224,225,228,
229,230,232,241,246,249,256,259,261,270,272,273,276,279,311,313,321,326,327,
330,333,343,356,358,359,360,362,364,416,422,449,450,451,470],[1,2,3,4,6,12,13,
15,16,17,18,22,23,24,25,27,28,29,30,37,38,41,42,44,46,56,57,59,60,61,71,75,77,
78,82,83,86,87,89,90,92,93,94,95,96,97,98,99,100,101,102,118,128,130,131,134,
135,136,137,139,140,142,143,145,147,149,150,151,155,156,178,186,188,190,196,
200,203,204,206,208,209,210,211,217,218,222,224,228,229,230,232,237,239,241,
243,248,252,257,262,263,265,267,271,274,280,311,318,326,329,347,348,355,356,
360,361,363,364,365,420,422,450,451,471],[1,2,3,4,5,6,8,10,11,12,13,15,16,17,
18,22,23,24,25,26,27,28,29,30,33,34,37,38,39,41,42,44,45,47,48,49,52,53,54,55,
56,57,58,59,60,61,65,69,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,
90,91,92,93,94,95,96,97,98,99,100,101,102,103,108,113,114,115,116,118,120,128,
130,131,134,135,136,137,138,139,140,142,143,145,147,149,150,151,152,161,164,
165,173,174,177,178,179,183,185,186,187,188,189,190,191,195,196,197,198,199,
200,201,203,204,205,206,208,209,210,211,212,214,215,217,218,219,220,221,222,
224,225,226,227,228,229,230,232,233,235,237,239,241,242,243,246,248,249,252,
254,256,257,258,259,261,262,263,265,267,270,271,272,273,274,276,281,282,283,
284,285,286,287,288,307,309,310,311,313,314,315,317,318,319,320,321,326,327,
329,330,333,337,338,339,343,344,347,348,354,355,356,358,359,360,361,362,363,
364,365,366,368,369,374,383,391,392,393,394,395,397,398,406,410,412,414,415,
416,420,423,424,425,435,442,455,460,461,472],[1,2,3,4,5,6,7,10,11,12,13,15,16,
17,18,22,23,24,25,26,27,28,29,30,33,34,37,38,39,41,42,44,45,51,52,53,54,55,56,
57,58,59,60,61,65,69,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,
91,92,93,94,95,96,97,98,99,100,101,102,103,108,113,114,115,116,118,120,128,
130,131,134,135,136,137,138,139,140,142,143,145,147,149,150,151,152,157,160,
168,177,178,179,183,185,186,187,188,189,190,191,195,196,197,198,199,200,201,
203,204,205,206,208,209,210,211,212,214,215,217,218,219,220,221,222,224,225,
226,227,228,229,230,232,233,235,237,239,241,242,243,246,248,249,252,254,256,
257,258,259,261,262,263,265,267,270,271,272,273,274,276,290,297,300,301,302,
309,310,311,313,314,315,317,318,319,320,321,326,327,329,330,333,337,338,339,
343,344,347,348,354,355,356,358,359,360,361,362,363,364,365,366,368,369,376,
379,380,406,410,412,414,415,416,420,427,432,433,442,453,473],[1,2,3,4,5,6,9,
10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,
36,37,38,39,40,41,42,43,44,45,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,
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,
152,162,163,166,170,175,177,180,181,182,183,184,185,186,187,188,189,190,192,
193,194,195,197,198,199,200,201,202,204,205,206,207,208,209,211,212,213,214,
215,216,219,221,223,224,225,226,227,228,230,231,233,234,235,236,237,238,239,
240,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,
260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,295,296,
299,303,306,309,310,312,316,317,318,319,320,321,324,325,327,328,331,332,334,
335,336,337,338,339,340,341,342,345,346,347,349,350,351,352,353,355,357,359,
366,367,368,369,375,382,389,390,396,407,410,411,413,417,418,419,428,434,436,
443,454,474],[1,4,5,7,12,24,26,27,41,46,51,52,98,101,114,152,154,168,176,178,
215,229,300,308,313,379,422,432,449,465,475],[1,2,3,4,7,8,9,10,11,12,13,15,16,
17,18,24,25,27,44,49,50,53,54,55,56,57,58,59,60,71,75,76,77,89,90,92,94,96,97,
99,101,131,153,157,160,161,162,163,164,165,166,168,172,177,178,179,183,187,
190,191,204,205,211,232,241,281,282,285,295,296,299,303,306,307,310,311,315,
370,372,374,375,376,379,380,381,383,388,395,402,406,425,428,445,447,453,455,
457,476],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,17,18,19,20,21,22,23,26,28,30,
31,32,33,34,35,36,37,38,39,40,42,43,45,49,50,51,52,54,55,59,61,62,63,64,65,66,
67,68,69,70,72,73,74,78,79,80,81,83,84,85,87,91,93,95,102,104,105,106,107,108,
109,110,111,112,115,117,119,120,121,122,123,124,125,126,127,129,132,133,138,
141,144,146,148,153,157,158,159,160,161,162,163,165,166,167,168,169,170,171,
172,175,177,180,181,182,184,185,188,192,193,194,199,201,212,213,226,240,244,
245,247,250,251,253,255,260,264,266,268,269,275,289,290,291,292,293,294,296,
297,298,300,301,302,304,305,307,309,324,325,328,340,370,371,372,375,376,377,
378,382,383,384,385,386,387,388,389,390,396,399,400,401,407,426,427,431,446,
447,448,454,456,458,459,477],[1,2,3,4,5,6,10,11,12,13,15,16,17,18,22,23,24,25,
26,27,28,29,30,33,34,37,38,39,41,42,44,45,46,52,53,54,55,56,57,58,59,60,61,65,
69,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,
97,98,99,100,101,102,103,108,113,114,115,116,118,120,128,130,131,134,135,136,
137,138,139,140,142,143,145,147,149,150,151,152,154,155,156,177,178,179,183,
185,186,187,188,189,190,191,195,196,197,198,199,200,201,203,204,205,206,208,
209,210,211,212,214,215,217,218,219,220,221,222,224,225,226,227,228,229,230,
232,233,235,237,239,241,242,243,246,248,249,252,254,256,257,258,259,261,262,
263,265,267,270,271,272,273,274,276,278,279,280,309,310,311,313,314,315,317,
318,319,320,321,326,327,329,330,333,337,338,339,343,344,347,348,354,355,356,
358,359,360,361,362,363,364,365,366,368,369,373,406,410,412,414,415,416,420,
422,442,449,450,451,469,470,471,478],[1,2,5,6,7,8,9,10,14,19,21,34,35,37,46,
47,48,49,51,70,73,141,153,154,155,156,157,158,159,162,165,169,170,171,173,174,
175,176,181,277,278,279,280,288,302,305,308,370,371,373,377,382,384,385,403,
405,421,438,441,446,452,464,479],[1,2,3,4,5,6,8,10,11,12,13,14,15,16,17,18,19,
20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,
49,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,
77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,
102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,
121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,
140,141,142,143,144,145,146,147,148,149,150,151,152,159,161,164,165,167,177,
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,
273,274,275,276,281,282,285,289,291,292,305,307,309,310,311,312,313,314,315,
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,
354,355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,374,378,383,
385,395,401,406,407,408,409,410,411,412,413,414,415,416,417,418,419,420,425,
429,431,442,443,444,455,456,463,467,480],[1,2,3,4,5,6,9,10,11,12,13,14,15,16,
17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,
43,44,45,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,
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,
138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,162,163,166,170,
172,175,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,
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,
270,271,272,273,274,275,276,295,296,299,303,306,309,310,311,312,313,314,315,
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,
354,355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,375,381,382,
388,389,390,396,402,406,407,408,409,410,411,412,413,414,415,416,417,418,419,
420,428,434,436,442,443,444,454,457,467,474,481],[1,2,3,4,5,6,7,10,11,12,13,
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,
40,41,42,43,44,45,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,
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,
136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,157,160,
168,171,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,
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,
270,271,272,273,274,275,276,290,297,300,301,302,309,310,311,312,313,314,315,
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,
354,355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,376,379,380,
384,386,399,406,407,408,409,410,411,412,413,414,415,416,417,418,419,420,427,
432,433,442,443,444,453,459,467,473,482],[1,2,3,4,5,6,9,10,11,12,13,14,15,16,
17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,
43,44,45,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,
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,
138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,158,162,163,166,
169,172,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,
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,
270,271,272,273,274,275,276,293,294,295,296,298,299,303,304,306,309,310,311,
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,
369,375,377,381,387,388,400,402,406,407,408,409,410,411,412,413,414,415,416,
417,418,419,420,426,428,430,442,443,444,457,458,462,467,483],[1,2,3,4,7,10,11,
12,13,15,16,17,18,24,25,27,44,46,53,54,55,56,57,58,59,60,71,75,76,77,89,90,92,
94,96,97,99,101,131,156,157,160,168,176,177,178,179,183,187,190,191,204,205,
211,232,241,278,310,311,315,376,379,380,405,406,422,450,453,465,469,484],[1,2,
3,4,5,6,7,8,9,10,11,12,13,15,16,17,18,22,23,24,25,26,27,28,29,30,33,34,37,38,
39,41,42,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,65,69,71,72,73,75,
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,
101,102,103,108,113,114,115,116,118,120,128,130,131,134,135,136,137,138,139,
140,142,143,145,147,149,150,151,152,153,157,160,161,162,163,164,165,166,168,
172,173,174,177,178,179,183,185,186,187,188,189,190,191,195,196,197,198,199,
200,201,203,204,205,206,208,209,210,211,212,214,215,217,218,219,220,221,222,
224,225,226,227,228,229,230,232,233,235,237,239,241,242,243,246,248,249,252,
254,256,257,258,259,261,262,263,265,267,270,271,272,273,274,276,277,281,282,
283,284,285,286,287,288,290,295,296,297,299,300,301,302,303,306,307,309,310,
311,313,314,315,317,318,319,320,321,326,327,329,330,333,337,338,339,343,344,
347,348,354,355,356,358,359,360,361,362,363,364,365,366,368,369,370,372,374,
375,376,379,380,381,383,388,391,392,393,394,395,397,398,402,406,410,412,414,
415,416,420,421,423,424,425,427,428,432,433,435,442,445,447,453,455,457,460,
461,468,472,473,476,485],[1,2,3,4,5,6,7,10,11,12,13,15,16,17,18,22,23,24,25,
26,27,28,29,30,33,34,37,38,39,41,42,44,45,46,51,52,53,54,55,56,57,58,59,60,61,
65,69,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,
96,97,98,99,100,101,102,103,108,113,114,115,116,118,120,128,130,131,134,135,
136,137,138,139,140,142,143,145,147,149,150,151,152,154,155,156,157,160,168,
176,177,178,179,183,185,186,187,188,189,190,191,195,196,197,198,199,200,201,
203,204,205,206,208,209,210,211,212,214,215,217,218,219,220,221,222,224,225,
226,227,228,229,230,232,233,235,237,239,241,242,243,246,248,249,252,254,256,
257,258,259,261,262,263,265,267,270,271,272,273,274,276,278,279,280,290,297,
300,301,302,308,309,310,311,313,314,315,317,318,319,320,321,326,327,329,330,
333,337,338,339,343,344,347,348,354,355,356,358,359,360,361,362,363,364,365,
366,368,369,373,376,379,380,405,406,410,412,414,415,416,420,422,427,432,433,
441,442,449,450,451,453,465,469,470,471,473,475,478,484,486],[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,
35,36,37,38,39,40,41,42,43,44,45,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,
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,
150,151,152,153,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,
172,175,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,
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,
270,271,272,273,274,275,276,281,282,285,289,290,291,292,293,294,295,296,297,
298,299,300,301,302,303,304,305,306,307,309,310,311,312,313,314,315,316,317,
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,
356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,374,375,
376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,395,396,399,400,
401,402,406,407,408,409,410,411,412,413,414,415,416,417,418,419,420,425,426,
427,428,429,430,431,432,433,434,436,442,443,444,445,446,447,448,453,454,455,
456,457,458,459,462,463,467,473,474,476,477,480,481,482,483,487],[1,2,3,4,5,6,
8,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,
35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,52,53,54,55,56,57,58,59,60,61,62,
63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,
89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,
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,
149,150,151,152,154,155,156,159,161,164,165,167,173,174,177,178,179,180,181,
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,
278,279,280,281,282,283,284,285,286,287,288,289,291,292,305,307,309,310,311,
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,
369,373,374,378,383,385,391,392,393,394,395,397,398,401,403,404,406,407,408,
409,410,411,412,413,414,415,416,417,418,419,420,422,423,424,425,429,431,435,
437,438,439,440,442,443,444,449,450,451,455,456,460,461,463,464,466,467,469,
470,471,472,478,480,488],[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]],
0,[[1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,3,1],[1,3,1],[1,3,
1],[1,3,1],[1,3,1],[1,3,1],[1,1,1,1,1],[1,1,2,1],[1,1,2,1],[1,3,1],[1,3,1],[1,
3,1],[1,1,2,1],[1,1,2,1],[1,3,1],[1,2,1,1],[1,1,2,1],[1,3,1],[1,1,2,1],[1,1,
1],[1,1,2,1],[1,3,1],[1,3,1],[1,1,1,1,1],[1,1,1,1,1],[1,1,2,1],[1,2,1,1],[1,1,
2,1],[1,1,2,1],[1,1,1,1,1],[1,1,2,1],[1,1,1],[1,1,2,1],[1,1,2,1],[1,1,2,1],[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],[1,3,4,1,6,
1],[1,4,3,1,6,1],[1,3,1,3,1,3,3,1],[1,1,3,3,1,3,3,1],[1,1,6,1,3,3,1],[1,1,6,1,
3,3,1],[1,1,3,3,1,3,3,1],[1,1,1,5,1,1,1,2,2,1],[1,7,1,2,2,2,1],[1,3,4,1,2,2,2,
1],[1,1,6,1,3,3,1],[1,1,3,3,1,3,3,1],[1,1,6,1,3,3,1],[1,3,1,3,1,3,3,1],[1,1,6,
1,3,3,1],[1,1,3,3,1,3,3,1],[1,1,6,1,3,3,1],[1,3,1,3,1,3,3,1],[1,1,3,3,1,3,3,
1],[1,1,6,1,3,3,1],[1,3,1,3,1,3,3,1],[1,3,1,3,1,3,3,1],[1,1,3,3,1,3,3,1],[1,1,
6,1,3,3,1],[1,4,3,1,3,3,1],[1,3,4,1,1,3,2,1],[1,3,4,1,1,1,2,2,1],[1,1,2,2,2,1,
1,1,2,2,1],[1,1,1,1,2,2,1,1,1,2,2,1],[1,1,2,2,2,1,1,1,2,2,1],[1,1,1,1,1,2,1],[
1,1,2,4,1,1,1,2,2,1],[1,3,2,2,1,1,1,2,2,1],[1,1,2,2,2,1,1,1,2,2,1],[1,3,1,2,
1],[1,1,2,4,1,1,1,2,2,1],[1,3,1,2,1],[1,2,5,1,1,1,4,1],[1,3,4,1,3,1,2,1],[1,1,
2,2,2,1,1,1,2,2,1],[1,1,6,1,1,2,1,2,1],[1,1,2,4,1,1,1,2,2,1],[1,1,2,4,2,1,1,1,
2,1],[1,1,2,4,1,1,1,2,2,1],[1,1,2,4,2,1,1,1,2,1],[1,1,6,1,1,1,2,2,1],[1,3,1,2,
1],[1,1,1,5,1,2,1,1,2,1],[1,3,1,2,1],[1,7,1,3,3,1],[1,1,1,1,4,1,1,1,2,2,1],[1,
1,1,1,1,2,1],[1,1,2,4,1,1,1,1,1,1,1,1],[1,1,1,5,1,1,1,1,2,1,1],[1,1,2,4,1,1,1,
2,1,1,1],[1,1,6,1,1,1,2,1,1,1],[1,1,2,1,3,1,1,1,1,1,1,1,1],[1,1,3,3,1,1,1,2,1,
1,1],[1,1,2,4,1,2,1,1,1,1,1],[1,1,2,4,1,1,1,2,1,1,1],[1,1,6,1,1,1,1,2,1,1],[1,
2,1,2,1,1,1,1],[1,3,2,1,1,1,1],[1,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,3,2,1,1,1,1],[
1,1,2,4,1,1,1,1,1,1,1,1],[1,1,2,1,1,1,1],[1,1,1,5,1,1,1,2,2,1],[1,1,1,1,1,3,1,
1,1,1,1,1,1,1],[1,1,2,4,1,1,1,1,1,2,1],[1,1,1,5,1,1,1,1,1,1,1,1],[1,1,2,4,1,1,
1,1,2,1,1],[1,1,1,5,1,1,1,1,1,1,1,1],[1,1,6,1,1,1,1,1,1,1,1],[1,1,3,3,1,1,1,2,
1,1,1],[1,1,1,5,1,1,1,1,1,1,1,1],[1,3,2,1,1,1,1],[1,1,1,5,1,1,1,1,1,1,1,1],[1,
1,2,1,1,1,1],[1,2,5,1,1,1,1,3,1],[1,1,1,5,1,1,1,1,1,1,1,1],[1,1,1,5,1,1,1,2,1,
1,1],[1,2,1,2,1,1,1,1],[1,3,2,1,1,1,1],[1,3,2,1,1,1,1],[1,3,2,1,1,1,1],[1,1,2,
1,3,1,1,1,1,1,1,1,1],[1,2,1,2,1,1,1,1],[1,2,1,2,1,1,1,1],[1,1,1,5,1,1,1,2,2,
1],[1,3,2,1,1,1,1],[1,1,2,1,1,1,1],[1,1,4,2,1,1,1,2,1,1,1],[1,3,2,1,1,1,1],[1,
1,1,5,1,1,1,1,1,1,1,1],[1,3,2,1,1,1,1],[1,1,2,4,1,2,1,1,1,1,1],[1,3,2,1,1,1,
1],[1,3,2,1,1,1,1],[1,1,2,1,1,1,1],[1,3,2,1,1,1,1],[1,1,1,2,1],[1,5,1,1],[1,5,
1,1],[1,1,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,
3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,1,1,3,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,
1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,1,1,3,1],[1,3,1,1,3,1],[1,1,6,1,3,2,1,1],[1,
1,3,3,1,3,1,1,1,1],[1,3,4,1,1],[1,1,1,1],[1,3,3,9,1,1,3,3,9,9,9,3,3,9,1],[1,
15,5,15,15,15,1],[1,6,9,2,3,3,9,18,6,9,1],[1,3,3,9,1,1,3,3,9,9,9,3,3,9,1],[1,
3,3,9,1,1,3,3,9,9,9,3,3,9,1],[1,3,12,1,4,3,3,6,6,6,6,3,6,6,1],[1,3,3,9,1,1,9,
9,3,3,3,6,3,1,1,1,3,3,3,1],[1,3,6,6,1,2,2,3,3,6,6,6,6,3,6,6,1],[1,1,1,5,4,4,1,
1,1,2,2,2,2,6,2,4,4,4,4,1,1,1,2,2,2,2,2,2,1],[1,1,1,5,1,1,1,2,2,4,1,2,2,2,1],[
1,1,5,9,1,1,2,5,2,2,2,10,2,8,1,2,1,1,2,2,2,2,2,1],[1,1,1,5,8,1,1,1,2,2,4,4,4,
4,4,4,4,1,2,2,2,2,2,2,2,1],[1,1,1,5,1,1,1,2,2,4,1,2,2,2,1],[1,1,1,13,1,1,4,1,
2,6,8,8,4,2,2,1,2,2,2,2,2,1],[1,6,9,1,1,3,3,12,3,12,1,1,1,3,3,3,3,1],[1,3,6,6,
1,1,6,3,3,3,6,3,3,3,3,1,1,1,3,3,3,3,1],[1,3,3,9,1,1,3,3,9,3,9,3,3,1,1,3,1,3,3,
3,1],[1,3,3,9,1,1,3,3,3,3,9,9,3,1,3,1,1,3,3,3,1],[1,2,5,4,1,1,1,6,2,4,1,1,1,2,
2,1],[1,7,1,3,3,2,2,1,1,1,1],[1,3,1,3,1,3,3,2,2,1,1,1,2,2,1],[1,7,2,2,1,2,1,2,
1,2,2,2,2,1,1,1,2,2,1],[1,1,3,3,2,6,1,3,3,1,1,1,1,2,2,2,2,2,6,6,2,1,2,1,1,1,1,
1,1,2,2,2,1],[1,1,1,5,1,1,1,2,2,2,2,1,1,1,2,2,1],[1,1,1,5,2,6,1,1,1,2,2,1,1,1,
1,2,2,2,2,6,2,2,6,1,2,1,1,1,1,1,1,2,2,2,1],[1,3,2,2,1,1,1,2,2,2,2,1,1,1,1],[1,
7,1,3,3,2,2,1,1,1,1],[1,1,3,11,1,1,1,3,2,4,3,3,7,10,1,1,2,1,1,1,2,1,2,1,2,1],[
1,1,5,9,1,1,5,3,2,3,7,3,10,1,1,2,1,1,1,2,2,1,1,2,1],[1,2,5,4,1,1,2,2,1,2,2,4,
1,1,1,2,2,1],[1,3,2,2,1,1,1,4,2,2,1,2,1],[1,7,4,1,2,2,3,3,2,2,1,1,1,2,2,1],[1,
7,4,1,2,2,3,3,2,2,1,1,1,2,2,1],[1,2,5,1,1,1,2,2,4,1,1,1,1],[1,1,3,11,1,1,1,3,
2,4,7,3,3,10,1,1,2,1,1,1,2,1,2,1,2,1],[1,1,1,5,2,6,1,1,1,2,2,1,1,1,1,6,6,2,2,
2,2,2,2,1,2,1,1,1,1,1,1,2,2,2,1],[1,3,4,8,1,1,2,2,1,2,2,2,4,4,4,2,4,4,1,2,2,2,
2,2,2,2,1],[1,1,1,5,1,1,1,2,2,2,2,1,1,1,2,2,1],[1,7,4,1,3,6,3,2,1,1,1,2,2,1],[
1,3,2,2,1,1,1,2,4,2,1,2,1],[1,2,5,1,1,1,4,4,1,2,1],[1,2,5,1,1,1,2,2,4,1,1,1,
1],[1,4,3,2,2,1,1,6,1,2,2,2,1,1,1,2,2,1],[1,2,5,1,1,1,4,4,1,2,1],[1,1,3,3,1,3,
3,2,2,1,1,1,2,2,1],[1,7,1,3,3,4,2,1,1],[1,3,4,1,1,1,4,2,2,1,2,1],[1,1,1,5,1,1,
1,2,2,2,2,1,1,1,2,2,1],[1,7,2,2,1,2,1,2,1,2,2,2,2,1,1,1,2,2,1],[1,3,1,3,2,6,1,
3,3,1,1,1,1,2,2,6,6,2,2,2,2,1,2,1,1,1,1,1,1,2,2,2,1],[1,7,2,2,1,2,1,2,1,2,2,2,
2,1,1,1,2,2,1],[1,2,5,4,1,1,2,2,1,2,2,4,1,1,1,2,2,1],[1,7,1,3,3,4,2,1,1],[1,7,
4,1,2,2,3,3,2,2,1,1,1,2,2,1],[1,3,4,1,1,1,2,2,2,2,1,1,1,1],[1,2,13,1,2,3,2,8,
1,8,10,2,2,2,1,2,2,2,2,1],[1,4,3,4,1,1,6,1,2,2,2,1,1,1,2,2,1],[1,3,4,1,1,1,2,
2,4,1,2,1],[1,1,1,5,1,1,1,2,2,2,2,1,1,1,2,2,1],[1,3,2,2,1,1,1,2,2,2,2,1,1,1,
1],[1,7,4,1,2,1,2,2,1,2,2,2,1,1,1,2,2,1],[1,3,4,1,1,1,2,2,2,2,1,1,1,1],[1,2,5,
4,1,1,2,2,1,2,2,4,1,1,1,2,2,1],[1,3,2,10,1,2,2,2,1,1,2,4,2,2,2,2,4,2,4,2,2,1,
2,2,2,2,2,2,1],[1,4,11,1,2,4,5,6,5,12,2,2,2,2,2,1,4,1],[1,7,4,1,2,1,2,2,1,2,2,
2,1,1,1,2,2,1],[1,7,4,1,2,1,2,2,1,2,2,2,1,1,1,2,2,1],[1,1,1,1,4,8,1,1,1,1,1,2,
2,1,4,3,2,2,1,4,3,2,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,3,9,1,1,1,1,1,
2,3,2,2,1,3,2,1,3,2,3,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1],[1,1,6,2,2,1,1,1,1,2,
1,1,2,1,2,2,1,1,1,1,1,1,1,1],[1,1,2,3,9,1,1,1,2,1,1,1,2,2,3,3,2,3,3,2,3,3,1,1,
1,1,1,1,1,1,1,1,1,2,1,1,1,1],[1,1,6,4,1,1,1,2,1,1,1,2,1,2,2,1,1,1,1,1,1,1,1],[
1,3,4,2,2,1,3,1,1,1,1,2,1,2,2,1,1,1,1,1,1,1,1],[1,1,2,3,9,1,1,1,1,1,2,1,2,2,3,
3,2,2,3,3,3,3,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1],[1,1,2,5,7,1,1,1,1,2,1,1,1,1,3,
5,3,5,1,1,2,2,3,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1],[1,1,2,4,4,2,1,1,1,1,1,1,2,2,1,
2,1,1,1,1,1,1,1,1],[1,1,1,1,2,10,1,1,1,1,1,1,1,5,1,1,2,2,1,4,1,2,2,4,2,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,3,3,4,1,3,1,3,1,2,2,2,1,1,1,1,1,1,1,1],[1,3,
2,10,1,1,1,1,2,2,2,3,3,3,3,2,1,3,2,2,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,
6,2,2,1,1,1,2,1,1,1,2,2,1,2,1,1,1,1,1,1,1,1],[1,1,1,5,4,1,2,1,1,1,1,2,2,2,2,1,
1,1,1,1,1,1,1],[1,1,3,3,2,2,1,3,1,3,1,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,2,2,2,1,
1,1,1,1,1,2,1,2,2,1,1,1,1,1,1,1,1],[1,1,2,3,9,1,1,1,2,1,1,3,2,2,1,3,2,2,3,1,3,
3,3,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1],[1,1,6,2,2,1,3,1,3,1,1,2,2,1,1,1,1,1,1,1,1,
1],[1,1,6,4,1,3,1,1,3,1,2,2,1,1,1,1,1,1,1,1,1],[1,1,6,4,1,3,1,3,1,1,2,2,1,1,1,
1,1,1,1,1,1],[1,1,1,1,4,8,1,1,1,1,1,1,1,1,1,1,4,2,5,2,1,4,2,2,2,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1],[1,1,2,4,4,2,1,1,1,1,1,1,2,2,1,2,1,1,1,1,1,1,1,1],[1,1,2,
1,11,1,2,1,1,1,2,1,3,4,4,1,1,3,1,2,5,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1],[1,1,
6,4,1,1,1,1,1,2,1,2,1,2,2,1,1,1,1,1,1,1,1],[1,1,2,5,7,1,1,1,1,2,1,1,1,1,3,2,5,
1,5,3,1,2,3,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1],[1,1,1,1,2,10,1,1,1,1,1,1,1,1,5,1,
2,2,1,4,1,2,2,4,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,3,4,2,2,1,1,1,3,1,1,2,
2,1,2,1,1,1,1,1,1,1,1],[1,3,4,4,1,1,1,3,1,1,2,1,2,2,1,1,1,1,1,1,1,1],[1,1,1,5,
2,2,1,2,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,2,2,2,1,1,1,1,1,1,2,2,1,2,1,
1,1,1,1,1,1,1],[1,3,4,4,1,1,1,3,1,1,2,1,2,2,1,1,1,1,1,1,1,1],[1,1,2,1,11,1,1,
2,1,1,2,1,3,4,4,1,1,2,5,3,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1],[1,1,6,2,2,1,3,
1,3,1,1,2,1,2,1,1,1,1,1,1,1,1],[1,3,1,1,2,1,3,1,1],[1,3,1,1,3,1],[1,1,5,5,5,1,
1,1,1,1],[1,1,10,5,1,2,1,1],[1,1,6,4,1,3,3,4,1,1,1],[1,1,3,3,4,1,3,3,4,1,1,
1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,1,6,4,1,3,3,4,1,1,1],[1,
3,6,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,3,9,1,1,9,9,1,3,3,3,1,3,3,
1],[1,1,6,4,1,3,3,4,1,1,1],[1,3,1,3,4,1,3,3,4,1,1,1],[1,1,6,4,1,3,3,4,1,1,1],[
1,1,3,3,4,1,3,3,4,1,1,1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,1,3,3,4,1,3,3,4,1,1,1],[
1,1,6,4,1,3,3,4,1,1,1],[1,3,1,3,4,1,3,3,4,1,1,1],[1,3,1,3,4,1,3,3,4,1,1,1],[1,
1,6,4,1,3,3,4,1,1,1],[1,1,6,4,1,3,3,4,1,1,1],[1,3,4,4,1,6,4,1,1,1],[1,3,1,3,4,
1,3,3,4,1,1,1],[1,3,1,3,4,1,3,3,4,1,1,1],[1,4,3,4,1,6,4,1,1,1],[1,1,6,4,1,3,3,
4,1,1,1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,4,3,4,1,3,3,4,1,1,1],[1,1,3,3,4,1,3,3,4,
1,1,1],[1,5,1,1,5,1,1,1],[1,3,3,9,4,12,1,1,3,3,9,9,9,6,6,6,6,12,12,12,12,12,
12,12,12,1,3,3,9,3,4,4,4,4,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,1,3,3,6,6,6,6,
1],[1,3,7,21,1,1,3,3,6,21,9,21,18,18,18,36,1,7,3,6,6,6,9,3,4,4,4,6,6,6,6,18,
18,6,18,6,12,1,6,3,3,6,6,6,1],[1,1,5,25,5,5,10,5,10,10,30,10,30,40,5,5,5,10,
10,10,5,10,5,15,5,5,15,10,20,20,1,5,5,5,10,5,1],[1,4,3,12,1,4,3,6,3,6,6,6,6,6,
1,3,3,6,6,6,6,1,3,3,1],[1,15,4,5,15,6,15,6,1,3,15,6,6,1,3,3,1],[1,6,9,4,2,3,3,
9,6,6,18,1,6,9,3,6,6,1,3,3,1],[1,1,9,21,2,3,3,6,9,12,6,18,30,18,48,3,2,1,1,4,
3,3,6,6,12,15,12,15,9,9,9,9,6,6,24,1,3,6,3,6,3,3,6,1],[1,4,3,6,6,1,2,2,3,6,3,
6,6,6,6,6,1,3,3,6,6,6,6,1,3,3,1],[1,1,5,9,4,4,1,1,2,5,2,2,2,2,2,10,6,2,2,4,4,
4,4,8,4,1,1,2,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,
1,1,13,8,1,1,4,1,2,6,4,4,8,8,4,4,4,4,4,4,4,2,2,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,1,5,9,8,1,1,2,5,2,2,4,4,2,10,2,4,4,4,4,4,4,8,
1,2,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,3,3,9,1,1,
3,3,9,9,9,4,4,3,3,9,2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,2,2,2,2,1],[1,1,1,13,4,4,1,
1,4,1,2,6,2,2,8,6,8,2,4,4,4,4,4,4,1,2,2,1,2,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,
4,1,1,1,2,2,2,2,4,1],[1,3,1,3,1,3,3,6,6,1,3,3,6,6,3,1],[1,1,3,3,1,3,3,6,6,1,3,
3,6,6,3,1],[1,1,3,3,6,18,1,1,3,3,3,3,3,3,3,3,3,6,9,9,6,6,9,9,6,6,18,9,18,9,6,
1,1,3,3,6,1,3,3,1,1,3,3,3,3,3,3,3,9,9,3,6,3,3,9,3,6,3,9,6,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,1,3,3,3,3,3,3,3,3,3,3,1],[1,3,1,3,6,18,1,1,3,3,3,3,3,3,3,3,3,6,9,9,6,
18,9,9,18,6,6,9,6,9,6,1,3,1,1,3,1,1,3,6,3,3,3,3,3,3,3,3,3,3,3,3,9,3,3,6,3,3,6,
3,3,3,3,3,3,3,3,3,9,6,9,3,3,9,1,3,3,3,3,3,3,3,3,3,3,1],[1,15,4,5,2,2,15,15,2,
4,2,1,1,2,15,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,3,11,4,4,1,1,1,3,2,4,2,2,3,3,6,
7,2,2,4,4,4,2,10,4,1,1,1,1,2,2,2,2,2,2,1,1,2,1,2,1,1,2,1,1,2,2,2,2,2,2,2,2,2,
2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,1,5,8,16,1,1,2,1,2,2,2,2,2,4,4,8,4,8,6,6,12,
8,10,14,4,8,8,10,4,10,12,1,1,1,2,2,2,2,2,2,2,3,2,3,1,4,3,1,3,1,1,6,2,4,2,4,8,
4,4,2,2,6,2,2,6,4,6,4,2,8,4,4,4,2,4,2,10,4,4,1,1,2,1,1,2,1,2,2,2,2,4,2,2,2,4,
1],[1,1,3,11,1,1,1,3,2,4,3,3,7,6,2,10,1,1,2,2,2,1,1,1,2,1,1,2,3,1,2,2,2,1,1,1,
1,1,1,1,1],[1,1,3,11,1,1,1,3,2,4,3,3,7,2,6,10,1,1,2,2,1,1,1,2,1,3,2,1,1,2,2,2,
2,1,1,1,1,1,1,1,1],[1,7,2,10,1,2,2,2,2,1,2,1,2,2,6,4,2,2,2,2,4,2,4,2,1,2,1,3,
2,2,2,2,2,2,2,2,2,2,2,2,1,2,1,1,1,1,1],[1,7,12,1,2,4,3,2,2,3,4,6,6,6,6,2,1,3,
2,1,6,6,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,4,11,4,1,2,4,5,6,6,5,4,2,12,1,2,2,2,2,
2,1,2,1,4,2,4,4,2,2,1,1,1,1,1,1],[1,7,4,8,1,2,1,2,2,2,2,1,4,2,2,2,4,4,4,2,4,2,
4,1,1,2,2,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,4,3,4,8,1,1,2,6,2,1,4,
2,2,2,4,4,4,2,4,2,4,1,1,2,2,1,2,2,4,2,2,2,2,2,2,4,1,1,2,1,1,1,1],[1,1,1,5,2,6,
1,1,1,2,2,1,1,1,1,2,2,2,2,2,6,2,6,2,6,1,2,1,1,1,1,1,3,1,1,2,2,2,2,2,2,2,1,1,1,
1,1,1,1,1],[1,1,1,13,2,6,1,1,4,1,2,6,1,1,8,1,8,1,2,6,6,2,2,2,2,2,2,4,2,2,2,1,
2,2,1,1,1,1,1,1,1,2,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,
1],[1,1,5,9,2,6,1,1,2,5,2,2,1,1,2,10,1,2,1,2,2,2,2,2,6,2,2,2,8,6,1,2,1,1,2,2,
1,1,1,1,1,1,2,2,1,2,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,
1,5,9,2,6,1,1,2,5,2,2,1,1,2,10,1,2,1,2,6,6,2,2,2,2,2,2,8,2,1,2,1,1,2,2,1,1,1,
1,1,1,1,2,2,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,1,5,
4,20,1,1,1,2,2,4,4,4,6,6,2,6,12,12,12,8,4,8,4,8,12,4,8,8,8,8,1,2,2,2,2,2,2,2,
4,1,1,3,2,1,3,1,3,3,2,4,4,2,8,4,2,2,2,8,2,4,4,2,4,6,4,6,8,2,6,6,6,4,4,4,6,2,1,
1,1,1,1,2,2,2,2,2,4,2,4,2,4,1],[1,1,1,5,2,6,1,1,1,2,2,1,1,1,1,6,2,2,2,2,6,2,2,
2,6,1,2,1,2,1,1,3,1,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,4,3,2,10,1,2,2,2,1,
6,1,2,2,4,2,2,2,2,4,2,4,4,2,1,2,1,1,2,2,2,2,2,2,2,4,4,2,2,1,1,1,2,1,1,1],[1,4,
11,4,1,2,4,2,2,5,6,5,2,6,12,1,2,2,2,2,2,3,1,2,4,2,2,2,2,2,1,2,1,1,1,1,1],[1,1,
5,9,1,1,2,5,2,2,2,10,2,4,4,8,1,2,1,1,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[
1,7,2,10,1,2,2,2,2,1,2,1,2,2,2,4,2,2,2,2,4,2,4,4,2,1,2,1,1,2,2,2,2,2,2,2,2,2,
2,2,2,2,1,1,1,1,1,1,1,1],[1,7,4,8,1,2,1,2,2,2,2,1,4,2,2,2,4,4,4,2,4,2,4,1,1,2,
2,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,3,11,8,1,1,1,3,2,4,4,4,7,3,
3,4,2,4,4,4,2,4,10,1,1,2,2,1,2,2,2,1,1,2,2,2,1,1,2,1,1,2,2,2,2,2,2,2,2,2,2,2,
2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,3,11,1,1,1,3,2,4,7,3,3,6,2,10,1,1,2,1,2,2,1,1,
2,1,1,2,3,1,2,2,2,1,1,1,1,1,1,1,1],[1,7,4,8,1,2,1,2,2,2,2,1,2,2,2,4,4,4,2,4,6,
4,1,1,2,3,2,2,2,2,2,2,2,2,2,2,2,2,1,1,2,1,1,1,1],[1,1,1,5,4,4,1,1,1,2,2,2,2,6,
2,4,4,4,4,4,4,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,1,5,2,6,1,1,
1,2,2,1,1,1,1,6,6,6,2,2,2,2,2,2,2,1,2,1,1,1,2,1,1,3,1,1,2,2,2,2,2,2,1,1,1,1,1,
1,1,1],[1,7,6,6,1,2,2,2,3,2,3,2,2,6,6,4,6,6,1,3,1,2,2,2,6,2,2,6,2,2,1,1,1,1,1,
1,1,1],[1,1,1,5,2,6,1,1,1,2,2,1,1,1,1,2,6,6,2,2,2,2,6,2,2,1,2,1,1,1,1,1,1,3,1,
2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,6,9,4,2,3,3,2,2,9,2,2,4,18,1,6,9,2,1,2,2,2,
2,2,2,1,1,1,1,1,1,1,1],[1,1,3,11,8,1,1,1,3,2,4,4,4,3,3,7,4,2,4,4,4,2,4,10,1,1,
2,2,2,2,2,1,1,2,1,2,2,1,1,2,1,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,
1],[1,2,13,4,1,2,3,2,2,2,8,1,8,2,2,4,10,2,1,2,2,1,2,2,2,1,2,2,2,2,2,2,2,2,1,1,
1,1,1,1,1,1],[1,7,2,10,1,2,2,2,2,1,2,1,2,2,2,4,2,2,2,2,4,2,4,4,2,1,2,1,1,2,2,
2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,2,13,4,1,2,3,2,8,1,6,8,2,4,10,1,2,2,
2,1,2,2,2,1,2,2,4,2,2,4,1,1,1,2,1,1,1],[1,1,3,11,4,4,1,1,1,3,2,4,2,2,7,3,6,3,
2,2,4,4,4,2,10,4,1,1,1,1,2,1,2,2,2,2,2,1,2,1,2,1,1,2,1,1,2,2,2,2,2,2,2,2,2,2,
2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,1,13,1,1,4,1,2,6,8,8,4,4,4,2,2,1,2,2,2,2,2,2,
2,2,2,2,2,1,1,1,1,1,1,1,1],[1,2,13,4,1,2,3,2,2,2,8,1,8,2,6,10,2,1,2,2,1,2,2,3,
2,2,2,2,2,2,2,2,1,1,1,2,1,1,1],[1,1,3,11,1,1,1,3,2,4,7,3,3,2,6,10,1,1,2,1,2,1,
1,2,1,3,2,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,4,11,4,1,2,4,2,2,5,6,5,2,4,2,12,1,2,
2,2,2,2,1,2,1,4,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,2,13,4,1,2,3,2,2,2,8,1,8,2,2,
4,10,2,1,2,2,1,2,2,2,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,4,11,4,1,2,4,2,2,5,
6,5,2,4,2,12,1,2,2,2,2,2,1,2,1,4,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,1,13,2,6,1,
1,4,1,2,6,1,1,8,1,8,1,2,2,2,2,2,6,2,2,2,4,6,2,2,1,2,2,1,1,1,1,1,1,1,2,1,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,1,5,8,1,1,1,2,2,4,4,4,
4,4,4,4,4,4,1,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,5,9,2,6,1,1,5,3,
2,1,1,3,7,1,3,1,2,2,2,2,2,2,6,2,6,10,2,1,1,2,2,1,1,1,1,1,1,1,1,1,2,2,1,1,1,1,
2,1,1,2,1,2,2,1,2,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[
1,3,3,9,2,6,1,1,9,9,1,1,3,3,1,3,1,2,2,2,6,6,2,2,2,2,6,2,3,1,1,1,2,1,1,1,1,1,3,
1,3,3,1,1,1,1,2,1,2,1,2,1,1,1,1,2,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1],[1,3,4,1,8,1,3,4,1,2,1,1],[1,3,1,4,8,1,3,4,1,1,1,1,1],[1,3,4,4,5,1,3,4,
1,1,1,1,1],[1,3,5,15,1,15,15,1,5,1,3,3,1,3,3,1],[1,6,9,16,2,3,3,9,18,6,9,8,12,
1,1],[1,3,3,9,16,1,1,3,3,9,9,9,3,3,9,4,4,12,1,1],[1,3,3,9,16,1,1,3,3,9,9,9,3,
3,9,4,4,12,1,1],[1,3,3,9,16,1,1,3,3,9,9,9,3,3,9,4,4,12,1,1],[1,3,3,9,16,1,1,3,
3,9,9,9,3,3,9,4,4,12,1,1],[1,15,16,5,15,15,15,20,1,1],[1,6,9,16,2,3,3,9,18,6,
9,8,12,1,1],[1,6,9,4,2,3,3,9,18,12,6,9,1,4,1,3,1],[1,3,3,9,16,1,1,3,3,9,9,9,3,
3,9,4,4,12,1,1],[1,3,3,9,4,1,1,3,3,9,9,9,12,3,3,9,1,4,1,3,1],[1,3,3,9,4,1,1,3,
3,9,9,9,12,3,3,9,1,4,1,3,1],[1,3,3,9,4,1,1,3,3,9,9,9,12,3,3,9,1,4,1,3,1],[1,3,
3,9,4,1,1,3,3,9,9,9,12,3,3,9,1,4,1,3,1],[1,3,3,9,4,1,1,3,3,9,9,9,12,3,3,9,1,4,
1,3,1],[1,3,3,9,4,1,1,3,3,9,9,9,12,3,3,9,1,4,1,3,1],[1,3,3,9,16,1,1,3,3,9,9,9,
3,3,9,4,4,12,1,1],[1,3,6,6,16,1,2,2,3,3,6,6,6,6,3,6,6,4,8,8,1,1],[1,1,3,3,12,
4,1,3,3,3,3,6,6,6,8,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,3,3,6,6,4,1,3,3,3,3,6,
6,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,6,12,4,1,3,3,3,3,3,6,6,3,8,4,1,3,
3,3,3,3,3,1,4,3,1,1,1,1],[1,1,6,6,6,4,1,3,3,3,3,3,6,6,3,4,4,4,1,3,3,3,3,3,3,1,
4,3,1,1,1,1],[1,3,3,9,4,1,1,9,9,3,3,3,6,12,3,1,1,1,3,3,3,1,4,1,1,1,1,1],[1,3,
12,16,1,4,3,3,6,6,6,6,3,6,6,4,16,1,1],[1,1,6,12,4,1,3,3,3,3,3,6,6,3,8,4,1,3,3,
3,3,3,3,1,4,3,1,1,1,1],[1,1,6,6,6,4,1,3,3,3,3,3,6,3,6,4,4,4,1,3,3,3,3,3,3,1,4,
3,1,1,1,1],[1,3,6,6,4,1,1,6,3,3,3,6,3,3,3,3,12,1,1,1,3,3,3,3,1,4,1,1,1,1,1],[
1,3,3,9,4,1,1,3,3,3,3,9,9,3,12,1,3,1,1,3,3,3,1,4,1,1,1,1,1],[1,3,3,9,4,1,1,3,
3,9,3,9,3,3,12,1,1,3,1,3,3,3,4,1,1,1,1,1,1],[1,6,9,4,1,1,3,3,12,3,12,12,1,1,1,
3,3,3,3,1,4,1,1,1,1,1],[1,15,10,5,6,10,6,5,1],[1,15,10,5,6,10,6,5,1],[1,3,4,1,
1,3,1,4,1,1],[1,3,15,45,1,5,15,15,30,45,45,45,90,90,90,180,15,15,15,30,30,30,
45,45,60,60,60,90,90,90,90,90,90,90,90,90,180,5,6,10,30,45,45,60,90,90,90,90,
90,15,18,30,1],[1,3,3,9,12,36,1,1,3,3,4,9,9,9,12,12,12,18,18,18,18,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,3,3,3,9,9,12,12,12,12,12,12,12,12,12,12,12,
12,18,18,18,18,18,18,18,18,18,18,18,18,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,1,4,4,6,6,9,9,12,12,12,18,18,18,
18,18,18,36,36,36,36,36,36,36,36,36,36,36,36,36,3,12,12,18,18,1],[1,3,3,9,1,1,
3,3,9,9,9,12,12,3,3,9,6,6,6,6,6,6,12,12,12,12,1,3,3,6,6,6,6,6,6,3,4,1],[1,3,3,
9,1,1,3,3,9,9,9,12,12,3,3,9,6,6,6,6,6,6,12,12,12,12,1,3,3,6,6,6,6,6,6,3,4,1],[
1,3,7,21,4,12,1,1,3,3,6,21,9,21,6,6,18,18,6,18,6,4,12,12,12,12,12,12,4,12,36,
12,1,1,7,3,6,6,6,9,3,3,4,4,4,4,4,4,4,6,6,6,6,6,2,6,6,6,2,6,2,6,6,6,6,6,18,6,
18,6,2,18,2,6,6,2,12,4,4,12,4,4,12,4,4,12,4,4,4,4,12,4,4,4,4,4,4,4,4,4,4,1,6,
3,1,3,3,1,3,2,2,2,6,2,6,6,6,2,2,2,6,6,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,1],[1,3,3,9,
4,12,1,1,3,3,9,9,9,6,6,6,6,8,12,12,12,12,12,12,8,12,12,1,3,3,9,3,4,4,4,4,6,6,
6,6,4,6,6,6,4,6,4,6,6,6,4,4,6,4,12,12,8,12,8,12,8,8,1,3,2,3,2,4,6,4,6,2,2,6,4,
2,4,2,4,6,2,2,4,2,2,1,2,2,2,2,2,2,2,1],[1,3,7,21,1,1,3,3,6,21,9,21,18,18,18,8,
8,36,1,7,3,6,6,6,9,3,4,4,4,6,4,4,4,6,6,6,18,18,6,4,18,4,6,4,8,8,12,8,8,1,6,2,
3,2,3,2,4,4,2,6,6,2,6,4,2,2,2,4,2,4,2,4,1,2,2,2,2,2,2,2,1],[1,1,1,13,4,20,1,1,
4,1,2,6,4,4,4,6,6,8,2,8,6,8,12,12,12,8,4,8,4,8,12,4,8,4,8,8,4,8,2,2,1,2,2,2,2,
2,2,2,2,4,1,1,2,3,2,1,4,3,2,1,2,3,3,2,2,2,2,2,4,4,2,8,4,2,2,2,8,2,2,4,4,2,4,2,
4,6,4,6,8,2,6,2,6,2,6,4,6,6,4,4,4,2,2,6,6,6,2,4,4,2,2,1,1,1,1,1,1,1,2,2,2,1,1,
1,3,1,2,2,1,1,1,3,2,2,2,3,2,2,2,2,2,2,4,2,4,2,2,2,2,4,2,2,4,2,1,2,2,1,1,1,1,1,
1,1,1,1,1,1],[1,1,9,21,8,2,3,3,6,9,12,6,4,4,18,30,18,4,4,4,4,4,8,4,48,3,2,1,1,
4,3,3,2,6,6,12,15,2,2,2,2,12,15,9,2,9,2,9,9,4,6,2,6,2,2,2,4,2,24,6,2,2,6,6,4,
4,2,2,2,6,4,2,1,3,1,1,6,1,1,1,3,6,3,1,1,2,3,1,2,3,1,3,2,2,3,2,2,6,2,2,2,4,2,2,
2,2,2,2,1,1,1,2,1,1,2,1,1,1,1,1,1,1],[1,1,9,21,4,4,2,3,3,6,9,12,6,2,2,18,30,6,
18,2,8,4,4,4,4,48,4,1,3,2,1,1,4,3,3,1,6,6,12,15,2,2,2,2,2,2,2,12,15,2,9,9,9,9,
2,6,4,6,8,4,8,2,2,24,2,2,2,2,2,4,2,2,2,2,4,2,4,1,1,1,3,6,4,1,1,1,3,6,1,1,1,2,
3,2,3,2,2,1,2,1,2,1,3,2,6,2,2,2,4,2,2,2,2,2,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1],[1,
1,5,25,4,4,5,5,10,5,10,10,2,2,30,10,6,30,2,4,4,4,4,8,40,4,1,5,5,5,10,1,10,10,
5,2,2,2,2,2,2,10,5,2,15,5,5,15,4,10,2,20,2,4,8,4,2,4,2,20,2,2,2,2,2,4,2,2,2,2,
2,8,1,1,1,5,2,2,2,1,2,5,1,1,1,1,5,4,1,2,1,1,2,1,3,2,10,5,2,2,2,2,2,2,4,2,2,1,
1,1,1,1,1,1,1,1,2,1,1,1,1,1],[1,1,1,13,8,16,1,1,2,4,1,2,6,2,2,2,4,4,8,8,8,4,4,
8,6,6,12,8,10,14,4,8,8,10,8,4,10,4,12,1,2,2,1,2,1,2,2,2,2,2,2,2,3,2,3,1,4,3,2,
1,4,3,2,1,1,2,2,2,2,2,6,2,4,2,4,8,4,4,2,6,2,4,6,2,2,2,6,4,6,4,2,8,4,6,4,2,4,2,
2,2,4,4,2,6,2,10,2,4,2,4,4,4,2,6,1,1,1,1,2,3,1,2,1,1,2,1,2,3,3,2,2,1,2,1,2,1,
1,1,2,1,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,4,4,2,1,1,1,1,1,1,1,2,1,2,1,1,1,1],[1,1,
5,9,8,16,1,1,2,2,5,2,2,2,2,2,4,4,2,10,8,2,4,8,8,6,6,12,8,10,14,4,8,8,10,4,4,
10,8,12,1,1,2,1,1,1,2,2,2,2,2,2,2,2,3,2,3,2,1,4,3,4,1,2,2,2,3,1,2,1,2,2,6,2,4,
2,4,8,4,4,2,8,2,2,4,6,2,2,2,6,4,6,4,2,8,4,2,4,2,4,2,4,2,2,4,4,8,2,2,2,10,2,4,
2,4,4,2,2,1,1,1,1,2,2,1,1,2,3,1,2,1,1,4,2,1,2,1,2,1,2,1,1,2,1,1,2,2,2,2,2,4,2,
2,4,2,2,2,2,4,2,2,2,2,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1],[1,1,5,9,4,20,1,1,2,5,2,
2,4,4,4,6,6,2,10,2,2,6,4,12,12,12,8,4,8,4,8,12,4,8,8,8,8,8,8,1,2,1,1,2,2,2,2,
2,2,2,2,4,1,1,3,2,1,2,3,4,2,2,1,3,2,3,2,2,2,2,4,4,2,8,4,2,2,2,8,4,2,2,4,2,4,2,
4,6,4,6,8,2,6,2,6,2,6,4,8,2,2,4,4,8,4,4,2,2,2,6,2,2,4,2,2,1,1,1,1,1,1,1,2,1,1,
1,2,2,1,1,2,2,4,3,1,1,1,2,2,2,1,2,2,2,2,2,2,4,4,2,2,2,4,2,2,2,2,2,4,1,1,1,1,1,
1,1,1,2,1,1,1,1,1,1],[1,1,5,25,8,5,5,10,5,10,10,4,4,30,10,30,4,8,4,4,4,4,4,40,
5,5,5,10,2,10,10,5,2,2,2,2,2,10,5,15,2,5,2,5,15,2,10,4,20,2,2,4,2,20,2,6,6,2,
2,4,4,2,6,6,2,4,2,1,1,1,5,2,1,2,5,1,3,3,1,5,2,1,3,1,1,1,2,10,2,2,5,2,2,2,4,2,
2,2,2,2,2,1,1,2,1,1,1,1,1,1,2,1,1,1,1],[1,3,3,9,4,1,8,1,9,9,1,3,3,12,3,4,1,2,
1,3,3,4,1,3,1,1],[1,15,5,15,15,16,15,1,1],[1,6,9,12,16,2,3,3,9,18,18,18,16,3,
6,9,9,18,18,8,12,1,9,9,12,3,1,1],[1,6,9,12,16,2,3,3,6,6,9,6,6,12,18,16,3,6,9,
6,3,6,6,6,6,6,6,8,12,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,1,9,21,16,2,3,3,6,9,12,6,
18,30,18,48,16,3,2,1,1,4,3,3,6,6,12,15,12,15,9,9,9,9,6,6,24,8,12,1,3,6,3,6,3,
3,6,4,4,4,8,1,1,1],[1,3,1,3,6,18,16,1,1,3,3,3,3,3,3,3,3,3,6,9,9,6,18,9,9,18,6,
6,9,6,9,6,16,1,3,1,1,3,1,1,3,6,3,3,3,3,3,3,3,3,3,3,3,3,9,3,3,6,3,3,6,3,3,3,3,
3,3,3,3,3,9,6,9,3,3,9,4,4,12,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,1,1,1],[1,3,3,9,
4,12,16,1,1,3,3,9,9,9,6,6,6,6,12,12,12,12,12,12,12,12,16,1,3,3,9,3,4,4,4,4,6,
6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,4,4,12,1,3,3,6,6,6,6,4,4,4,4,4,1,1,1],[1,3,
7,21,16,1,1,3,3,6,21,9,21,18,18,18,36,16,1,7,3,6,6,6,9,3,4,4,4,6,6,6,6,18,18,
6,18,6,12,4,4,12,1,6,3,3,6,6,6,4,4,4,4,4,1,1,1],[1,1,3,3,16,1,3,3,6,6,16,1,3,
3,6,6,4,3,4,1,1],[1,3,1,3,16,1,3,3,6,6,16,1,3,3,6,6,4,3,4,1,1],[1,1,3,3,6,18,
16,1,1,3,3,3,3,3,3,3,3,3,6,9,9,6,6,9,9,6,6,18,9,18,9,6,16,1,1,3,3,6,1,3,3,1,1,
3,3,3,3,3,3,3,9,9,3,6,3,3,9,3,6,3,9,6,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,12,1,3,
3,3,3,3,3,3,3,3,3,4,4,4,4,4,1,1,1],[1,15,4,16,5,15,6,15,6,16,1,3,15,6,6,20,1,
3,3,4,1,1,1],[1,6,9,4,16,2,3,3,9,6,6,18,16,1,6,9,3,6,6,8,12,1,3,3,4,1,1,1],[1,
4,3,6,6,16,1,2,2,3,6,3,6,6,6,6,6,16,1,3,3,6,6,6,6,4,8,8,1,3,3,4,1,1,1],[1,3,3,
9,6,18,4,1,1,9,9,3,3,3,3,3,3,3,6,6,6,18,18,6,6,6,6,6,6,4,12,12,3,1,1,1,6,3,3,
3,3,3,3,3,3,3,3,3,3,3,6,3,6,3,6,3,3,3,3,6,3,3,3,3,3,3,3,6,3,1,4,12,12,1,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,1,1,1,1,1,1,1,4,3,1,1,1,1,1,1,1,1],[1,4,3,12,16,1,4,3,6,
3,6,6,6,6,6,16,1,3,3,6,6,6,6,4,16,1,3,3,4,1,1,1],[1,1,30,10,5,15,15,6,20,10,5,
12,6,5,10,6,5,1,1],[1,1,15,15,10,5,15,15,6,10,10,10,5,6,6,6,5,10,6,5,1,1],[1,
1,15,15,10,5,15,15,6,10,10,10,5,6,6,6,5,10,6,5,1,1],[1,1,30,10,5,15,15,6,20,
10,5,12,6,5,10,6,5,1,1],[1,3,5,15,4,1,15,15,1,20,5,1,3,3,1,4,1,3,3,5,4,1,1,
1],[1,3,15,45,4,12,1,5,15,15,30,45,45,45,6,6,90,90,6,90,6,12,12,12,12,12,12,
12,12,12,180,12,1,15,15,15,30,30,30,45,45,3,4,4,60,4,4,60,60,90,6,6,6,6,6,6,6,
6,6,6,6,90,90,6,90,6,90,6,90,90,6,90,6,90,6,6,12,12,12,12,12,12,12,12,12,180,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,5,6,10,30,3,3,45,3,3,45,60,6,6,6,
6,6,6,6,6,90,90,6,6,6,6,90,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,90,6,6,6,6,90,6,6,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,1,15,18,2,2,30,3,
3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,1,3,3,6,6,6,6,
1],[1,3,7,21,12,36,1,1,3,3,4,6,21,9,21,12,12,12,18,18,18,18,18,18,18,12,36,36,
36,36,36,36,36,36,36,36,36,12,36,36,36,36,3,1,7,3,6,6,6,9,3,9,12,12,12,12,12,
12,12,12,12,4,12,12,12,4,4,6,18,18,18,18,6,18,18,18,6,18,6,6,6,18,6,18,18,18,
18,6,6,18,6,6,18,6,36,36,36,36,36,36,36,36,36,12,12,36,12,36,12,36,36,36,36,
36,36,36,36,36,12,36,12,12,36,36,12,12,12,12,36,12,12,36,12,12,36,12,36,12,36,
12,12,12,12,1,4,4,6,6,6,9,3,3,9,3,3,12,12,12,6,6,6,18,6,18,6,6,6,6,6,6,6,6,18,
18,6,6,6,6,6,6,6,6,18,6,6,6,6,6,6,6,6,6,6,6,18,6,6,36,36,12,36,12,12,36,36,12,
36,12,36,12,12,12,12,36,12,12,12,36,12,36,12,36,36,12,12,12,12,12,36,12,3,1,2,
2,3,3,3,3,3,12,12,6,18,6,6,6,6,6,6,6,6,18,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,
1,3,3,6,6,6,6,1],[1,3,7,21,4,12,1,1,3,3,6,21,9,21,6,6,18,18,6,18,6,20,12,12,
12,12,12,12,20,12,36,12,1,1,7,3,6,6,6,9,3,3,4,4,4,4,4,4,4,6,6,6,6,6,10,6,6,6,
10,6,10,6,6,6,6,6,18,6,18,6,10,18,10,6,6,10,12,4,4,12,4,20,12,4,20,12,4,4,4,4,
12,4,4,4,20,4,4,4,4,20,4,1,6,3,5,3,3,5,3,2,4,10,2,6,10,6,4,4,6,6,2,4,2,2,4,6,
6,10,2,4,4,4,2,4,10,4,4,10,2,6,2,2,4,2,4,2,4,10,4,2,4,2,2,2,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,5,1,4,4,2,4,4,4,2,2,2,4,4,2,4,4,4,4,2,2,4,4,2,
4,4,4,1,1,1,2,2,1],[1,6,9,16,16,8,2,3,3,9,18,24,6,9,16,8,8,2,12,12,8,1,6,8,1,
1,2,1],[1,3,3,9,4,4,32,1,1,3,3,9,9,9,12,12,3,3,9,16,1,4,1,8,4,12,4,4,12,1,3,3,
4,4,1,1,1,1,1],[1,3,3,9,16,4,20,1,1,3,3,9,9,9,12,12,3,3,9,16,4,4,1,5,4,4,12,
12,4,1,3,3,4,4,1,1,1,1,1],[1,3,3,9,4,16,20,1,1,3,3,9,9,9,12,12,3,3,9,16,1,4,1,
4,4,12,4,4,4,12,1,3,3,4,4,1,1,1,1,1],[1,15,20,5,15,30,15,30,16,5,15,15,30,30,
16,1,15,15,5,1,1],[1,1,5,25,5,5,10,5,10,10,30,10,30,40,16,5,5,5,10,10,10,5,10,
5,15,5,5,15,10,20,20,16,1,5,5,5,10,5,1,1,1],[1,15,20,5,10,10,15,15,10,20,10,
16,5,5,10,15,10,10,10,10,10,10,16,1,5,5,5,5,5,5,5,1,1],[1,15,1,10,20,5,6,10,
15,10,6,5,5,5,5,6,10,6,5,1,1],[1,3,15,45,64,1,5,15,15,30,45,45,45,90,90,90,
180,15,15,15,30,30,30,45,45,60,60,60,90,90,90,90,90,90,90,90,90,180,16,80,240,
5,6,10,30,45,45,60,90,90,90,90,90,15,18,30,20,24,40,1,1],[1,3,3,9,12,36,64,1,
1,3,3,4,9,9,9,12,12,12,18,18,18,18,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
3,3,3,9,9,12,12,12,12,12,12,12,12,12,12,12,12,18,18,18,18,18,18,18,18,18,18,
18,18,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,16,16,48,64,192,1,4,4,6,6,9,9,12,12,12,18,18,18,18,18,18,36,36,36,
36,36,36,36,36,36,36,36,36,36,3,12,12,18,18,4,16,16,24,24,1,1],[1,3,15,45,16,
1,5,15,15,30,45,45,45,90,90,90,180,48,15,15,15,30,30,30,45,45,60,60,60,90,90,
90,90,90,90,90,90,90,180,8,12,16,5,6,10,30,45,45,60,90,90,90,90,90,12,12,12,
24,15,18,30,1,8,12,1,3,1],[1,3,3,9,12,36,16,1,1,3,3,4,9,9,9,12,12,12,18,18,18,
18,36,36,36,36,36,36,36,36,36,36,36,36,36,36,48,3,3,3,9,9,12,12,12,12,12,12,
12,12,12,12,12,12,18,18,18,18,18,18,18,18,18,18,18,18,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,4,4,16,12,1,4,4,6,
6,9,9,12,12,12,18,18,18,18,18,18,36,36,36,36,36,36,36,36,36,36,36,36,36,12,12,
12,12,12,3,12,12,18,18,1,4,4,12,1,3,1],[1,3,15,45,16,1,5,15,15,30,45,45,45,90,
90,90,180,48,15,15,15,30,30,30,45,45,60,60,60,90,90,90,90,90,90,90,90,90,180,
4,4,12,16,5,6,10,30,45,45,60,90,90,90,90,90,12,12,12,12,12,15,18,30,1,4,4,12,
1,3,1],[1,3,3,9,12,36,16,1,1,3,3,4,9,9,9,12,12,12,18,18,18,18,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,48,3,3,3,9,9,12,12,12,12,12,12,12,12,12,12,12,12,
18,18,18,18,18,18,18,18,18,18,18,18,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,4,4,12,16,1,4,4,6,6,9,9,12,12,12,18,
18,18,18,18,18,36,36,36,36,36,36,36,36,36,36,36,36,36,12,12,12,12,12,3,12,12,
18,18,1,4,4,12,1,3,1],[1,3,3,9,12,36,16,1,1,3,3,4,9,9,9,12,12,12,18,18,18,18,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,48,3,3,3,9,9,12,12,12,12,12,12,12,
12,12,12,12,12,18,18,18,18,18,18,18,18,18,18,18,18,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,4,4,12,16,1,4,4,6,6,
9,9,12,12,12,18,18,18,18,18,18,36,36,36,36,36,36,36,36,36,36,36,36,36,12,12,
12,12,12,3,12,12,18,18,1,4,4,12,1,3,1],[1,1,9,21,24,16,2,3,3,6,9,12,6,12,12,
18,30,18,12,12,12,12,12,24,12,48,32,16,3,2,1,1,4,3,3,6,6,6,12,15,6,6,6,6,12,
15,9,6,9,6,9,9,12,6,6,6,6,6,6,12,6,24,18,6,6,18,18,12,12,6,6,6,18,12,6,8,12,
16,1,3,3,3,6,3,3,3,3,6,9,3,3,6,3,3,6,9,3,9,6,6,3,6,6,6,6,6,6,12,6,6,6,6,6,6,4,
4,8,4,8,8,8,1,3,3,6,3,3,6,3,3,3,3,3,3,1,4,4,4,3,2,1,1],[1,1,9,21,12,12,16,2,3,
3,6,9,12,6,6,6,18,30,18,18,6,24,12,12,12,12,48,12,16,16,16,3,3,2,1,1,4,3,3,3,
6,6,12,15,6,6,6,6,6,6,6,12,15,6,9,9,9,9,6,6,12,6,24,12,24,6,6,24,6,6,6,6,6,12,
6,6,6,6,12,6,12,8,12,16,1,3,3,3,6,12,3,3,3,3,6,3,3,3,6,3,6,9,6,6,3,6,3,6,3,3,
6,6,6,6,6,12,6,6,6,6,6,4,4,12,4,4,4,4,8,3,1,3,3,3,6,3,3,3,3,3,3,3,3,1,4,4,4,3,
1,1,1,1],[1,3,3,9,16,1,1,3,3,9,9,9,12,12,48,3,3,9,6,6,6,6,6,6,12,12,12,12,4,
16,1,3,3,6,6,6,6,6,6,12,3,4,4,1,1,1],[1,3,3,9,16,1,1,3,3,9,9,9,12,12,48,3,3,9,
6,6,6,6,6,6,12,12,12,12,4,16,1,3,3,6,6,6,6,6,6,12,3,4,4,1,1,1],[1,3,15,45,10,
1,5,15,15,45,45,45,6,10,30,30,15,15,45,6,18,18,5,10,30,30,5,6,18,18,10,15,6,5,
1,3,1],[1,15,16,5,15,15,16,15,20,16,1,1,1,1],[1,3,15,45,10,1,5,15,15,45,15,45,
15,15,6,10,30,30,5,5,15,5,15,15,15,6,18,18,10,5,30,30,5,6,18,18,10,5,5,5,6,5,
1,1,1,1,1],[1,3,15,45,12,36,1,5,15,15,4,30,45,45,45,12,12,12,18,18,90,90,18,
90,18,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,180,36,3,15,15,15,30,30,30,
45,45,9,12,12,12,12,12,12,12,12,12,60,12,12,12,60,60,90,18,18,18,18,18,18,18,
18,18,18,18,90,90,18,90,18,90,18,90,90,18,90,18,90,18,18,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,180,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,5,6,10,4,4,6,30,6,9,9,45,9,
9,45,60,12,12,12,18,18,18,18,18,18,18,18,18,90,90,18,18,18,18,18,90,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,90,18,18,18,18,18,18,18,18,
90,18,18,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,3,15,18,6,6,6,30,6,9,9,9,9,9,12,12,12,12,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,36,36,1,1,3,3,9,9,9,18,18,18,18,18,
18,18,18,3,3,9,1],[1,6,9,12,16,16,8,2,3,3,9,18,18,18,16,24,48,3,6,9,9,18,18,
16,8,8,2,12,12,8,1,9,9,16,12,12,6,3,8,1,1,2,1,3,1,1],[1,3,15,45,1,5,15,15,30,
45,45,45,90,90,90,180,16,15,15,15,30,30,30,45,45,60,60,60,90,90,90,90,90,90,
90,90,90,180,48,5,6,10,30,45,45,60,90,90,90,90,90,16,15,18,30,1,1,3,1],[1,1,5,
25,20,20,5,5,10,5,10,10,10,10,30,10,30,30,10,20,20,20,20,40,40,20,16,5,5,5,5,
10,5,10,10,5,10,10,10,10,10,10,10,5,10,15,5,5,15,20,10,10,20,10,20,40,20,10,
20,10,20,10,10,10,10,10,20,10,10,10,10,10,40,16,16,16,1,5,5,5,10,10,10,5,10,5,
5,5,5,5,5,20,5,10,5,5,10,5,15,10,10,5,10,10,10,10,10,10,20,10,10,16,1,5,5,5,5,
5,5,5,5,10,5,5,5,5,5,1,1,1,1,1],[1,1,5,25,40,5,5,10,5,10,10,20,20,30,10,30,20,
40,20,20,20,20,20,40,16,5,5,5,10,10,10,10,5,10,10,10,10,10,10,5,15,10,5,10,5,
15,10,10,20,20,10,10,20,10,20,10,30,30,10,10,20,20,10,30,30,10,20,10,32,16,1,
5,5,5,10,5,10,5,5,15,15,5,5,10,5,15,5,5,5,10,10,10,10,5,10,10,10,20,10,10,10,
10,10,10,16,1,5,10,5,5,5,5,5,5,10,5,5,5,5,1,1,2,1],[1,3,15,45,12,36,16,1,5,15,
15,30,45,45,45,18,18,90,90,18,90,18,36,36,36,36,36,36,36,36,36,180,36,16,48,
48,3,15,15,15,30,30,30,45,45,9,12,12,60,12,12,60,60,90,18,18,18,18,18,18,18,
18,18,18,18,90,90,18,90,18,90,18,90,90,18,90,18,90,18,18,36,36,36,36,36,36,36,
36,36,180,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,8,12,16,48,48,5,6,10,
30,9,9,45,9,9,45,60,18,18,18,18,18,18,18,18,90,90,18,18,18,18,90,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,90,18,18,18,18,90,18,18,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,12,12,12,12,12,12,12,16,24,3,15,18,
6,6,30,9,9,9,9,9,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,36,36,1,8,12,12,12,12,12,12,12,1,9,9,18,18,18,18,1,3,3,12,3,1,3,3,
1],[1,3,15,45,4,12,64,1,5,15,15,30,45,45,45,6,6,90,90,6,90,6,12,12,12,12,12,
12,12,12,12,180,12,64,1,15,15,15,30,30,30,45,45,3,4,4,60,4,4,60,60,90,6,6,6,6,
6,6,6,6,6,6,6,90,90,6,90,6,90,6,90,90,6,90,6,90,6,6,12,12,12,12,12,12,12,12,
12,180,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,16,80,240,5,6,10,30,3,3,
45,3,3,45,60,6,6,6,6,6,6,6,6,90,90,6,6,6,6,90,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
90,6,6,6,6,90,6,6,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
16,16,16,16,16,1,15,18,2,2,30,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,12,12,20,24,40,1,3,3,6,6,6,6,4,8,8,1,1,1],[1,3,7,21,12,36,64,1,1,3,
3,4,6,21,9,21,12,12,12,18,18,18,18,18,18,18,12,36,36,36,36,36,36,36,36,36,36,
36,12,36,36,36,36,64,3,1,7,3,6,6,6,9,3,9,12,12,12,12,12,12,12,12,12,4,12,12,
12,4,4,6,18,18,18,18,6,18,18,18,6,18,6,6,6,18,6,18,18,18,18,6,6,18,6,6,18,6,
36,36,36,36,36,36,36,36,36,12,12,36,12,36,12,36,36,36,36,36,36,36,36,36,12,36,
12,12,36,36,12,12,12,12,36,12,12,36,12,12,36,12,36,12,36,12,12,12,12,16,16,48,
64,192,1,4,4,6,6,6,9,3,3,9,3,3,12,12,12,6,6,6,18,6,18,6,6,6,6,6,6,6,6,18,18,6,
6,6,6,6,6,6,6,18,6,6,6,6,6,6,6,6,6,6,6,18,6,6,36,36,12,36,12,12,36,36,12,36,
12,36,12,12,12,12,36,12,12,12,36,12,36,12,36,36,12,12,12,12,12,36,12,16,16,16,
16,16,3,1,2,2,3,3,3,3,3,12,12,6,18,6,6,6,6,6,6,6,6,18,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,12,12,4,16,16,24,24,1,3,3,6,6,6,6,4,8,8,1,1,1],[1,15,20,16,5,15,30,15,
30,16,80,5,15,15,30,30,16,20,16,1,15,15,20,16,5,1,1,5,1,1,1],[1,3,15,45,64,16,
32,1,5,15,15,30,45,45,45,90,90,90,180,48,96,15,15,15,30,30,30,45,45,60,60,60,
90,90,90,90,90,90,90,90,90,180,64,16,80,8,8,8,12,16,24,240,32,5,6,10,30,45,45,
60,90,90,90,90,90,12,12,12,24,24,24,24,24,24,15,18,30,16,32,1,2,20,24,40,8,8,
8,12,24,1,3,6,4,8,1,1,2,1],[1,3,3,9,12,36,16,16,80,1,1,3,3,4,9,9,9,12,12,12,
18,18,18,18,36,36,36,36,36,36,36,36,36,36,36,36,36,36,48,48,48,3,3,3,9,9,12,
12,12,12,12,12,12,12,12,12,12,12,18,18,18,18,18,18,18,18,18,18,18,18,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,64,
4,4,4,4,4,20,16,16,48,12,12,12,64,16,16,192,1,4,4,6,6,9,9,12,12,12,18,18,18,
18,18,18,36,36,36,36,36,36,36,36,36,36,36,36,36,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,3,12,12,18,18,16,16,16,4,1,1,1,16,4,4,4,4,4,4,16,24,24,12,12,
12,1,3,3,3,4,4,4,1,1,1,1,1],[1,3,15,45,20,60,1,5,15,15,30,45,45,45,30,30,90,
90,30,90,30,60,60,60,60,60,60,60,60,60,180,60,16,5,15,15,15,30,30,30,45,45,15,
20,20,60,20,20,60,60,90,30,30,30,30,30,30,30,30,30,30,30,90,90,30,90,30,90,30,
90,90,30,90,30,90,30,30,60,60,60,60,60,60,60,60,60,180,60,60,60,60,60,60,60,
60,60,60,60,60,60,60,60,16,48,48,5,6,10,30,15,15,45,15,15,45,60,30,30,30,30,
30,30,30,30,90,90,30,30,30,30,90,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,
30,90,30,30,30,30,90,30,30,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,
60,60,60,16,48,48,5,15,18,10,10,30,15,15,15,15,15,30,30,30,30,30,30,30,30,30,
30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,60,60,16,1,15,15,30,30,30,30,1,5,
1,3,3,1,3,3,1],[1,3,15,45,4,10,80,1,5,15,15,45,45,45,6,10,30,30,60,15,15,45,
40,6,18,18,1,20,5,20,10,60,20,20,30,30,60,24,5,40,6,18,18,10,15,15,24,10,20,6,
5,5,5,5,1,6,10,3,6,5,4,1,1],[1,3,15,45,12,36,64,1,5,15,15,4,30,45,45,45,12,12,
12,18,18,90,90,18,90,18,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,180,36,
192,3,15,15,15,30,30,30,45,45,9,12,12,12,12,12,12,12,12,12,60,12,12,12,60,60,
90,18,18,18,18,18,18,18,18,18,18,18,90,90,18,90,18,90,18,90,90,18,90,18,90,18,
18,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,180,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,16,
32,48,64,48,5,6,10,4,4,6,30,6,9,9,45,9,9,45,60,12,12,12,18,18,18,18,18,18,18,
18,18,90,90,18,18,18,18,18,90,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,90,18,18,18,18,18,18,18,18,90,18,18,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,48,48,48,
48,48,48,48,96,3,15,18,6,6,6,30,6,9,9,9,9,9,12,12,12,12,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,36,36,4,4,32,16,48,48,1,1,3,3,9,9,9,18,18,18,18,18,
18,18,18,12,12,12,3,3,9,4,4,12,1,1],[1,3,15,45,12,36,64,1,5,15,15,4,30,45,45,
45,12,12,12,18,18,90,90,18,90,18,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
180,36,192,3,15,15,15,30,30,30,45,45,9,12,12,12,12,12,12,12,12,12,60,12,12,12,
60,60,90,18,18,18,18,18,18,18,18,18,18,18,90,90,18,90,18,90,18,90,90,18,90,18,
90,18,18,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,180,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,16,16,48,64,64,192,5,6,10,4,4,6,30,6,9,9,45,9,9,45,60,12,12,12,18,18,18,18,
18,18,18,18,18,90,90,18,18,18,18,18,90,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,90,18,18,18,18,18,18,18,18,90,18,18,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
48,48,48,48,48,3,15,18,6,6,6,30,6,9,9,9,9,9,12,12,12,12,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,36,36,4,16,16,16,16,24,24,48,1,1,3,3,9,9,9,18,18,
18,18,18,18,18,18,12,24,24,3,3,9,1,4,1,3,1],[1,3,15,45,12,36,64,1,5,15,15,4,
30,45,45,45,12,12,12,18,18,90,90,18,90,18,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,180,36,192,3,15,15,15,30,30,30,45,45,9,12,12,12,12,12,12,12,12,12,60,
12,12,12,60,60,90,18,18,18,18,18,18,18,18,18,18,18,90,90,18,90,18,90,18,90,90,
18,90,18,90,18,18,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,180,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,16,80,240,64,5,6,10,4,4,6,30,6,9,9,45,9,9,45,60,12,12,12,18,18,18,
18,18,18,18,18,18,90,90,18,18,18,18,18,90,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,90,18,18,18,18,18,18,18,18,90,18,18,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,48,48,48,48,48,3,15,18,6,6,6,30,6,9,9,9,9,9,12,12,12,12,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,36,36,20,24,40,16,16,48,1,1,3,3,9,9,9,18,18,18,
18,18,18,18,18,12,24,24,3,3,9,1,4,1,3,1],[1,3,15,45,12,36,64,1,5,15,15,4,30,
45,45,45,12,12,12,18,18,90,90,18,90,18,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,180,36,192,3,15,15,15,30,30,30,45,45,9,12,12,12,12,12,12,12,12,12,60,12,
12,12,60,60,90,18,18,18,18,18,18,18,18,18,18,18,90,90,18,90,18,90,18,90,90,18,
90,18,90,18,18,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,180,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,16,16,16,48,48,64,5,6,10,4,4,6,30,6,9,9,45,9,9,45,60,12,12,12,18,18,
18,18,18,18,18,18,18,90,90,18,18,18,18,18,90,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,90,18,18,18,18,18,18,18,18,90,18,18,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,48,48,48,48,48,48,48,48,48,3,15,18,6,6,6,30,6,9,9,9,9,9,12,12,12,12,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,36,36,4,4,16,16,16,48,48,1,1,3,3,
9,9,9,18,18,18,18,18,18,18,18,12,12,12,3,3,9,4,4,12,1,1],[1,3,15,45,64,1,5,15,
15,30,45,45,45,90,90,90,180,16,15,15,15,30,30,30,45,45,60,60,60,90,90,90,90,
90,90,90,90,90,180,48,16,80,240,64,5,6,10,30,45,45,60,90,90,90,90,90,16,15,18,
30,20,24,40,16,1,1,3,1,4,1,1],[1,3,15,45,12,36,64,16,32,1,5,15,15,30,45,45,45,
18,18,90,90,18,90,18,36,36,36,36,36,36,36,36,36,180,36,16,48,48,96,192,3,15,
15,15,30,30,30,45,45,9,12,12,60,12,12,60,60,90,18,18,18,18,18,18,18,18,18,18,
18,90,90,18,90,18,90,18,90,90,18,90,18,90,18,18,36,36,36,36,36,36,36,36,36,
180,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,64,16,80,8,8,8,12,16,24,240,
32,48,48,5,6,10,30,9,9,45,9,9,45,60,18,18,18,18,18,18,18,18,90,90,18,18,18,18,
90,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,90,18,18,18,18,90,18,18,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,64,12,12,12,12,12,12,
12,16,48,24,24,48,24,48,48,48,24,24,24,3,15,18,6,6,30,9,9,9,9,9,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,36,36,16,32,1,2,
20,24,40,8,8,8,12,12,12,12,12,12,12,24,1,9,9,18,18,18,18,16,1,3,3,12,6,24,24,
12,3,4,8,1,1,2,3,3,4,1,3,1,1],[1,3,15,45,20,60,64,1,5,15,15,30,45,45,45,30,30,
90,90,30,90,30,60,60,60,60,60,60,60,60,60,180,60,16,320,5,15,15,15,30,30,30,
45,45,15,20,20,60,20,20,60,60,90,30,30,30,30,30,30,30,30,30,30,30,90,90,30,90,
30,90,30,90,90,30,90,30,90,30,30,60,60,60,60,60,60,60,60,60,180,60,60,60,60,
60,60,60,60,60,60,60,60,60,60,60,16,48,48,16,80,240,64,5,6,10,30,15,15,45,15,
15,45,60,30,30,30,30,30,30,30,30,90,90,30,30,30,30,90,30,30,30,30,30,30,30,30,
30,30,30,30,30,30,30,30,90,30,30,30,30,90,30,30,60,60,60,60,60,60,60,60,60,60,
60,60,60,60,60,60,60,60,60,60,16,48,48,80,80,80,80,80,64,5,15,18,10,10,30,15,
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,
30,30,60,60,16,20,24,40,16,1,15,15,30,30,30,30,1,20,40,40,16,5,1,3,3,1,4,1,3,
3,5,4,1,1,1],[1,3,15,45,12,36,64,64,128,1,5,15,15,4,30,45,45,45,12,12,12,18,
18,90,90,18,90,18,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,180,36,192,384,
192,3,15,15,15,30,30,30,45,45,9,12,12,12,12,12,12,12,12,12,60,12,12,12,60,60,
90,18,18,18,18,18,18,18,18,18,18,18,90,90,18,90,18,90,18,90,90,18,90,18,90,18,
18,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,180,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,256,
16,16,16,80,32,32,32,48,64,96,48,240,48,64,64,128,192,5,6,10,4,4,6,30,6,9,9,
45,9,9,45,60,12,12,12,18,18,18,18,18,18,18,18,18,90,90,18,18,18,18,18,90,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,90,18,18,18,18,18,18,
18,18,90,18,18,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,48,48,48,48,48,48,48,48,48,96,96,48,48,96,
48,48,48,96,48,48,96,96,3,15,18,6,6,6,30,6,9,9,9,9,9,12,12,12,12,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,36,36,64,64,128,4,8,20,4,4,24,40,32,16,32,
16,16,16,16,32,16,24,48,24,48,48,48,96,1,1,3,3,9,9,9,18,18,18,18,18,18,18,18,
12,12,12,24,12,12,12,24,24,24,24,3,3,9,16,16,32,16,1,1,4,4,8,4,4,12,12,1,3,3,
4,4,1,1,1,1,1],[1,3,15,45,60,180,160,1,5,15,15,20,30,45,45,45,60,60,60,90,90,
90,90,90,90,90,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,
180,180,96,160,480,480,15,15,15,15,30,30,30,45,45,45,60,60,60,60,60,60,60,60,
60,60,60,60,60,60,60,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,
90,90,90,90,90,90,90,90,180,180,180,180,180,180,180,180,180,180,180,180,180,
180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,
180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,96,288,
288,80,80,120,160,240,480,480,5,6,10,20,20,30,30,30,45,45,45,45,45,45,60,60,
60,60,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,
90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,
180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,
180,180,180,180,180,180,180,180,180,180,180,180,180,180,96,288,288,120,120,
120,120,120,120,120,160,240,240,240,240,240,15,15,18,30,30,30,30,30,45,45,45,
45,45,60,60,60,60,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,
90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,180,180,96,
10,20,80,80,120,120,120,120,120,120,120,240,16,48,1,5,15,15,45,45,45,90,90,90,
90,90,90,90,90,6,10,30,30,60,60,120,48,48,48,48,15,15,45,6,18,18,10,20,30,30,
60,16,48,5,6,18,18,10,6,5,1],[1,3,15,45,60,180,64,160,320,1,5,15,15,20,30,45,
45,45,60,60,60,90,90,90,90,90,90,90,180,180,180,180,180,180,180,180,180,180,
180,180,180,180,180,180,180,96,160,480,480,960,960,15,15,15,15,30,30,30,45,45,
45,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,90,90,90,90,90,90,90,90,90,90,
90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,180,180,180,180,180,180,
180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,
180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,
180,180,180,180,180,640,96,288,288,16,80,80,80,80,80,80,120,160,240,240,240,
240,320,320,320,480,480,960,384,5,6,10,20,20,30,30,30,45,45,45,45,45,45,60,60,
60,60,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,
90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,
180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,
180,180,180,180,180,180,180,180,180,180,180,180,180,180,640,96,288,288,120,
120,120,120,120,120,120,160,240,240,240,240,240,240,240,240,240,240,240,240,
240,240,240,240,240,240,240,384,15,15,18,30,30,30,30,30,45,45,45,45,45,60,60,
60,60,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,
90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,180,180,160,320,320,96,
10,20,20,20,20,24,40,80,80,80,80,80,80,80,80,80,120,120,120,120,120,120,120,
120,120,240,240,240,240,16,48,96,1,5,15,15,45,45,45,90,90,90,90,90,90,90,90,
160,6,10,30,30,60,60,60,60,60,60,120,120,120,120,120,48,48,48,48,96,15,15,45,
40,80,80,80,6,18,18,64,1,5,10,20,20,20,20,30,30,60,60,16,24,48,5,40,6,18,18,
10,15,15,24,10,20,6,16,5,5,5,5,6,10,6,5,1,1]],
[1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,5,6,6,6,6,6,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,9,10,
10,10,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,15,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,18,20,20,20,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,30,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,36,36,36,40,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,
48,48,48,48,48,48,48,48,48,48,48,48,48,48,60,60,60,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,72,80,96,96,96,96,96,96,96,96,96,96,96,96,96,96,120,120,120,
120,120,128,128,128,144,144,144,144,160,160,160,180,192,192,192,192,192,192,
192,192,192,192,192,240,240,240,256,288,320,320,320,384,384,384,480,576,576,
640,720,768,768,768,768,960,1152,1920,2304,3840,11520],
[489,488,483,467,459,407,452,421,372,489,487,482,481,477,472,467,467,467,458,
456,454,443,443,442,442,443,442,443,410,407,407,407,407,407,407,407,407,407,
407,407,410,407,407,406,407,441,421,288,288,172,171,482,481,483,480,472,472,
472,467,467,467,456,458,458,459,456,458,458,459,456,457,459,459,456,457,457,
442,443,443,443,443,444,443,443,443,443,443,443,442,442,443,442,443,442,443,
442,442,442,442,442,442,443,444,407,407,407,407,407,407,407,407,407,410,410,
407,410,407,410,407,407,407,407,407,407,407,407,407,410,407,410,406,407,407,
410,410,410,410,407,410,410,407,410,410,407,410,407,410,407,410,410,410,410,
277,441,373,373,479,448,446,448,447,447,445,435,421,402,401,399,400,371,371,
372,288,288,175,308,487,486,485,477,477,474,472,474,467,467,467,467,467,467,
457,459,456,458,442,442,444,443,443,442,443,443,442,442,442,442,443,442,442,
442,442,443,443,443,442,443,442,442,443,442,444,442,443,442,443,443,443,442,
442,442,443,442,443,443,443,443,443,443,442,443,442,443,443,407,407,410,407,
410,410,407,407,410,407,410,407,410,410,410,410,407,410,410,410,407,410,407,
410,407,407,410,410,410,410,410,407,410,277,441,373,373,435,435,435,435,435,
435,435,421,401,399,401,401,400,387,402,388,399,400,402,399,386,384,402,400,
385,381,383,308,482,481,478,474,473,473,472,474,467,467,467,467,467,462,463,
456,458,442,442,443,442,442,443,443,442,443,443,443,443,443,443,443,443,443,
442,442,443,443,442,442,443,443,443,443,443,442,442,442,443,442,442,442,442,
442,442,442,442,443,443,410,410,421,371,372,441,485,476,477,477,477,475,468,
445,446,447,446,446,448,448,447,448,434,435,435,435,435,435,436,435,435,399,
400,401,402,479,466,441,489,487,483,480,467,467,467,443,442,442,442,443,443,
443,442,421,486,485,472,472,458,459,457,463,462,456,432,433,434,435,436,466,
464,466,466,441,482,481,467,468,446,447,448,486,478,478,452,489,487,485,477,
476,477,477,472,472,462,463,479,475,466,487,468,486,478,478,485,482,481,475,
485,477,486,479,487,487,487,487,486,485,486,487,489,489],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,8,8,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,1,4,
1,1,1,1,1,1,1,1,1,1,1,4,1,1,1,1,1,4,4,4,4,1,4,4,1,4,1,1,4,1,4,1,4,4,1,4,1,46,
46,1,10,14,14,11,11,10,11,15,1,13,20,12,19,14,1,1,8,8,21,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,4,4,1,4,1,1,1,4,4,1,1,4,4,4,4,4,1,1,1,1,4,4,4,4,4,4,1,4,4,1,
4,1,4,4,4,4,4,1,4,4,1,4,4,4,4,1,1,4,4,1,1,4,1,4,4,1,1,4,1,4,1,4,4,4,4,1,4,4,4,
1,4,1,4,1,1,4,4,4,4,4,1,4,8,1,46,46,15,15,164,164,15,164,164,8,20,12,20,20,19,
14,13,10,12,19,13,12,11,10,13,19,14,11,11,46,1,1,1,13,12,12,1,13,4,4,4,1,4,3,
2,1,1,12,4,1,4,4,13,13,12,13,13,4,4,4,4,1,4,13,12,4,13,13,4,4,13,4,4,13,4,12,
4,12,13,12,4,4,12,4,12,12,12,4,4,4,4,10,14,11,46,179,177,177,181,180,178,179,
11,181,11,10,14,11,14,10,180,184,164,164,164,164,15,182,164,164,12,19,20,13,
403,404,10,1,1,3,2,4,4,4,13,12,12,12,13,13,13,12,165,178,374,374,179,181,177,
177,323,322,180,178,179,184,164,182,404,403,404,404,278,12,13,59,179,181,177,
180,422,178,422,403,406,407,179,180,177,181,177,374,374,322,323,403,178,404,
177,374,178,422,422,374,406,407,422,406,407,422,464,467,407,406,467,406,455,
469,467,488,488],
[( 3, 7)( 4, 8)( 5, 9)( 6,10)(11,12)(15,18)(20,23)(21,22),( 1, 5,13, 4,21,17,
 11, 2,22,18,24,20,16,10, 6)( 3, 9,12)( 7,19,15, 8,14)],
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1],[2,1,1,1],[4,1,3,-1,2,-2,4,-1,3,-2,2,-1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,
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1]]],[[[1,1,2,1],[2,2,3,2,2,2,1,1]],[[1,1,2,1],[2,1,3,1,1,1,2,-1,1,1,2,-2,3,
1]]],[[[1,1,2,1],[3,1,2,1,3,1,2,2,3,1]]],[[[2,1,1,1],[1,1,2,-1,3,-1,2,-2,3,
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1]]],[[[1,1,2,1],[2,-1,1,1,2,-1,3,2]],[[2,1,1,1],[3,1,2,2,3,2,2,-2,1,1]],[[1,
1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,1,4,-1,3,-1,4,1]]],[[[1,1,2,1],[2,1,3,1,2,1,
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3,-1,2,-2,4,-1,3,-2,2,-1]]],[[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,2]],[[2,1,1,
1],[3,1,2,2,3,2,2,-2,1,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,-1,1,1,2,-2,
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1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,-1,1,1,2,-2,3,1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-2,3,2,4,-1,2,-1,4,-1]]],[[[2,1,1,1],[3,1,2,2,3,2,2,-2,1,1]],[[2,1,
1,1],[3,2,2,-2,1,1,3,1,2,2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,-1,1,1,2,
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2,1,3,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,1,2,1,3,1]],[[1,1,2,
1],[2,1,1,1],[3,2,2,1,4,2,2,-2]]],[[[2,1,1,1],[3,2,2,-2,1,1,3,1,2,2]],[[1,1,2,
1],[2,1,1,1],[3,1,4,-1,2,-1,4,-1,1,1,2,-2,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,2,
4,1,3,-2,2,-1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,1,2,1,3,1]],[[1,1,
2,1],[2,1,1,1],[4,2,2,-1,3,-1,2,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,
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1,1,1],[4,2,2,-1,3,-1,2,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,1,2,
1,3,2,4,-1]]],[[[1,1,2,-1,1,1,2,1,1,1]],[[2,1,1,1],[3,1,1,1,2,1,3,-1,2,-1]],[[
1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]]],[[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]],[[
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2,-1,3,-1]]],[[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[1,1,
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4,1]]],[[[2,1,1,1],[2,2],[1,1,2,1,4,1,3,2,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,
2,2,2,4,-1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,1,2,1,3,2,4,
-1]]],[[[2,1,1,1],[3,1,1,1,2,1,3,-1,2,-1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,3,
-2]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]]],[[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,
1,1]],[[2,1,1,1],[2,2],[1,1,2,1,4,1,3,2,4,-1]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,
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1,1,3,1,2,2,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,2,4,-1,2,-1,4,-1]]],[[[1,1,
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1],[2,1,1,1],[1,1,2,-1,3,1,2,1,4,-1,3,-1,4,1]]],[[[1,1,2,1],[2,2,3,1,2,1,3,1,
2,1,1,1]],[[2,1,1,1],[2,1,3,-1,2,-1,1,1,3,1,2,2,3,1]],[[1,1,2,1],[2,1,1,1],[3,
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3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,-1,4,2,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,
1],[4,1,3,2,2,2,4,-1,3,1,4,1]]],[[[1,1,2,1],[1,1,2,-1],[4,2,3,1,2,1,1,1,2,1,3,
2]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1,3,1,2,2,4,2,3,-1]]],[[[2,1,1,1],[2,-2,1,1,2,2]],[[2,1,1,1],[1,1,
2,-1,3,-1,1,1,2,1,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,-1,3,1,2,2,
4,1]]],[[[2,1,1,1],[3,2,2,-2,1,1,3,1,2,2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,
-1,4,-1,1,1,2,-2,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,-1,4,2,3,1,2,1,3,
1]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]],[[2,1,1,1],[3,2,2,-2,1,1,3,1,2,
2]],[[1,1,2,1],[2,1,1,1],[3,2,4,1,2,1,4,2]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,
3,1]],[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,2]],[[1,1,2,1],[2,1,1,1],[3,2,4,1,2,1,
4,2]]],[[[2,1,1,1],[2,2],[1,1,2,1,4,1,3,2,4,-1]],[[2,1,1,1],[3,2,2,-2,1,1,3,1,
2,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,-1,4,2,3,1,2,1,3,1]]],[[[1,1,2,1],[2,
-1,1,1,2,-1,3,2]],[[2,1,1,1],[3,1,2,2,3,2,2,-2,1,1]],[[1,1,2,1],[2,1,1,1],[3,
1,4,-1,2,-1,4,-1,1,1,2,-2,3,1]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2]],[[2,1,1,
1],[3,1,2,-2,1,1,2,2,3,-1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]]],[[[1,1,2,
1],[3,1,2,1,1,1,2,-1,3,-1]],[[1,1,2,-3,1,1,2,3,1,1]],[[1,1,2,1],[2,1,1,1],[3,
2,4,1,2,1,4,2]]],[[[1,1,2,1],[2,1,3,1],[4,1,3,1,4,1,2,1,1,1]],[[1,1,2,1],[3,1,
2,1,3,1,2,1,1,1,2,2]]],[[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,2,-2]],[[1,1,2,1],[
2,1,1,1],[1,1,2,-1,3,-1,4,2,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,1,
4,3,2,-1,3,-1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1]],[[1,1,2,-3,1,1,2,3,1,
1]],[[1,1,2,1],[2,1,3,1,1,1,2,-1,1,1,2,-2,3,1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1,
3,-1,2,-2]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,1,2,1,3,1]],[[1,1,2,1],[2,1,
1,1],[2,1,4,-1,3,1,4,2,3,-2,2,-1]]],[[[1,1,2,1],[3,2,2,3,3,1]],[[2,1,1,1],[3,
1,2,3,3,2]]],[[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]],[[2,1,1,1],[2,2],[1,1,2,1,
4,1,3,2,4,-1]],[[2,1,1,1],[3,2,2,-2,1,1,3,1,2,2]]],[[[1,1,2,1],[2,2,1,1,3,-1,
2,1,3,1]],[[1,1,2,1],[1,1,2,-1,3,-1,2,1,1,1,3,-2]]],[[[1,1,2,1],[2,1,3,1,2,1,
1,1,2,2,3,1]],[[2,1,1,1],[3,1,2,2,3,2,2,-2,1,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1,3,-1,4,2,3,1,2,1,3,1]]],[[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]],[[1,1,2,1],[
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2]],[[2,1,1,1],[3,2,2,-2,1,1,3,1,2,2]],[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,1,3,-2,
2,-1,4,-1]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]],[[1,1,2,1],[2,1,1,1,3,-1,
2,-1,3,-1,1,1,2,-2,3,1]],[[1,1,2,1],[3,1,2,1,3,1,1,1,2,-2,3,1,2,1,1,1]]],[[[1,
1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]],[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,2]],[[2,1,
1,1],[3,1,2,2,3,2,2,-2,1,1]]],[[[2,1,1,1],[3,1,2,2,3,2,2,-2,1,1]],[[1,1,2,1],[
2,1,1,1],[3,1,4,-1,2,-1,4,-1,1,1,2,-2,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,2,
4,-2,2,-1,3,-1]]],[[[2,1,1,1],[2,1,3,-1,2,-1,1,1,3,1,2,2,3,1]],[[2,1,1,1],[3,
1,2,2,3,2,2,-2,1,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,-1,1,1,2,-2,3,
1]]],[[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]],[[2,1,1,1],[2,2,3,1,2,1,3,-1,2,-1,
1,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,1,2,1,3,1]]],[[[2,1,1,1],[2,1,
3,1,2,1,3,-1,1,1,2,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,2,3,1,2,2]]],[[[1,
1,2,1],[3,1,2,1,3,1,2,1,1,1,2,2]],[[2,1,1,1],[2,1,3,-1,2,-1,1,1,3,1,2,2,3,
1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,-1,1,1,2,-2,3,1]]],[[[1,1,2,1],[2,1,
3,1],[4,1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,1,3,1,4,-1,2,-1]]],[[[2,1,
1,1],[2,2,3,1,2,1,3,-1,2,-1,1,1,3,1]],[[2,1,1,1],[3,1,2,2,3,2,2,-2,1,1]],[[2,
1,1,1],[3,2,2,-2,1,1,3,1,2,2]]],[[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]],[[2,1,
1,1],[2,2],[1,1,2,1,4,1,3,2,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,1,2,1,
3,2,4,-1]]],[[[1,1,2,1],[3,1,2,2,1,1,2,-1,3,1]],[[1,1,2,1],[2,2,3,1,2,1,3,1,2,
1,1,1]]],[[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[1,1,2,1],[1,1,2,-2,3,
1,2,1,1,1,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,-1,3,1,2,2,4,
1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,1,2,1,4,2]],[[1,1,2,1],[2,1,3,1,1,1,2,-1,1,
1,2,-2,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1]]],[[[1,1,
2,-1,1,1,2,1,1,1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2]],[[1,1,2,1],[2,1,3,1,2,1,
1,1,2,2,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,1,2,1,3,1]],[[1,1,2,1],[
2,1,1,1],[4,2,2,-1,3,-1,2,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,1,
2,1,3,2,4,-1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[3,
2,4,1,2,1,4,2]],[[1,1,2,1],[2,1,3,1,1,1,2,-1,1,1,2,-2,3,1]]],[[[2,1,1,1],[3,1,
1,1,2,1,3,-1,2,-1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2]],[[2,1,1,1],[3,1,2,-2,1,
1,2,2,3,-1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[
3,1,2,1,3,1,4,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-1,3,1,2,2,1,
1]]],[[[2,1,1,1],[3,1,1,1,2,1,3,-1,2,-1]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,
-1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]]],[[[2,1,1,1],[2,2],[1,1,2,1,4,1,3,
2,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,-1,4,2,3,1,2,1,3,1]],[[1,1,2,1],[2,
1,1,1],[1,1,2,-2,3,1,4,3,2,-1,3,-1]]],[[[2,1,1,1],[3,1,1,1,2,1,3,-1,2,-1]],[[
1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,1]],[[2,
1,1,1],[2,1,3,1,1,1,2,1,3,-1,2,-2]]],[[[2,1,1,1],[3,1,1,1,2,1,3,-1,2,-1]],[[1,
1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,2,2,1,4,
-2]]],[[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]],[[1,1,2,1],[3,1,2,3,3,2]]],[[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,1,2,1,3,
1]],[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,2,1,4,1,3,1]]],[[[1,1,2,1],[2,1,3,1,2,
1,1,1,2,2,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,1,2,1,3,1,4,1]]],[[[1,1,2,1],[
2,2,3,1,2,1,3,1,2,1,1,1]],[[2,1,1,1],[2,2],[1,1,2,1,4,1,3,2,4,-1]],[[1,1,2,
1],[2,1,1,1],[2,1,4,-1,3,1,4,2,3,-2,2,-1]]],[[[1,1,2,-3,1,1,2,3,1,1]],[[1,1,2,
1],[2,1,1,1],[3,2,4,1,2,1,4,2]],[[1,1,2,1],[2,1,3,1,1,1,2,-1,1,1,2,-2,3,
1]]],[[[1,1,2,1],[2,-1,1,1,2,-1,3,2]],[[2,1,1,1],[3,1,2,2,3,2,2,-2,1,1]],[[1,
1,2,1],[2,1,1,1],[4,1,2,1,3,2,4,-2,2,-1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[4,2,2,
-1,3,-1,2,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,2,-2]],[[1,1,2,1],[2,
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2,-2,3,1,4,3,2,-1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,2,-2]],[[1,1,2,
1],[2,1,1,1],[4,1,3,2,2,2,4,-1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,
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-2]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1]],[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,2,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[1,
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1],[2,1,1,1],[1,1,2,-1,3,-1,4,3,3,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1]],[[2,1,1,1],[2,2],[1,1,2,1,4,1,3,2,4,-1]],[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,
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1],[2,1,1,1],[1,1,2,-2,3,1,4,3,2,-1,3,-1]]],[[[1,1,2,1],[1,1,2,-1,3,3,2,1]],[[
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1]]],[[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,2,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,
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1]]],[[[2,1,1,1],[1,1,2,1,3,-2,2,-2]],[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,
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2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,1,4,2,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[
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1,3,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,2,2,1,4,-2]],[[1,1,2,1],[2,1,1,
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1],[2,1,3,1,2,1,1,1,2,2,3,1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1]],[[2,1,1,1,
2,1,1,1,2,-1,1,1,2,-1]],[[1,1,2,-3,1,1,2,3,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,
2,-2,3,2,4,-1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,2,4,-2,2,-1,3,
-1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1,3,-1,2,-2]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,
1,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,2,-2]]],[[[1,1,2,1],[2,1,3,
1],[4,1,2,1,1,1,4,1,3,1]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,3,1,1,1,2,-1]]],[[[1,1,
2,1],[3,1,2,1,1,1,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,
-1,4,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-1,1,1,2,-1,3,1,4,1]]],[[[1,1,2,1],[
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2,2,3,1,2,1,3,-1,2,-1,1,1,3,1]],[[1,1,2,1],[2,1,3,1,1,1,2,-1,1,1,2,-2,3,
1]]],[[[1,1,2,1],[2,1,1,1,2,-2,3,-2]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,1,2,1,3,
1,4,1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,-1,2,-1]],[[1,1,2,1],[1,1,2,-1,3,-1,
2,1,1,1,3,-2]]],[[[1,1,2,2,1,1,2,2]],[[1,1,2,1],[1,1,2,-2],[4,1,3,1,4,1,3,
1]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,-1,2,
-1]]],[[[1,1,2,1],[1,1,2,-1,1,1,2,-1,3,2]],[[1,1,2,1],[2,1,3,1,1,1,2,-1,1,1,2,
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-1,2,1,1,1,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,4,1,3,-1,4,-1,2,
-1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,1,2,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,
1,2,1,4,-1,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,1,2,1,4,-1]],[[1,1,2,
1],[2,1,1,1],[3,1,2,1,3,1,2,1,4,2]]],[[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,2]],[[
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1,1,2,1],[2,2,1,1],[4,1,3,2,4,1]]],[[[1,1,2,2,1,1,2,2]],[[2,1,1,1],[1,1,2,-1,
3,-1,2,-2,3,-1]]],[[[2,1,1,1],[1,1,2,-1,3,-1,2,-2,3,-1]],[[1,1,2,1],[2,1,3,1,
2,1,1,1,2,2,3,1]]],[[[1,1,2,1],[2,1,3,2,2,2,3,1]],[[1,1,2,1],[2,2,1,1],[4,1,3,
2,4,1]]],[[[2,1,1,1],[2,1,3,2]],[[1,1,2,1],[3,1,2,1,3,1,2,2,3,1]]],[[[1,1,2,
1],[3,1,2,1,3,2,2,1,1,1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2,1,1,2,-1]]],[[[1,1,2,
1],[2,1,3,1],[3,1,4,1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,1,2,1,4,
-1]]],[[[1,1,2,1],[2,1,1,1,2,-1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1,2,
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1,1],[2,1,3,2,2,-1,1,1,2,2,1,1]]],[[[1,1,2,1],[2,3,3,2]],[[2,1,1,1],[1,1,2,-1,
3,-1,2,-2,3,-1]]],[[[1,1,2,-1,1,1,2,-4,1,1]],[[1,1,2,1],[3,2,2,1,1,1,2,1,3,
1]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,
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-2,3,1]]],[[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]],[[1,1,2,1],[2,2,3,2,2,1,3,
1]]],[[[1,1,2,1],[1,1,2,-1,3,1,2,1,1,1,3,-2]],[[1,1,2,1],[3,1,2,1,3,2,1,1,2,1,
1,1]]],[[[1,1,2,1],[2,2,3,1,2,1,1,1,2,-1,3,-1]]],[[[1,1,2,1],[3,1,2,1,3,1,2,1,
1,1,2,2]],[[2,1,1,1],[3,1,2,2,3,2,2,-2,1,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,
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1]],[[2,1,1,1],[3,2,2,-2,1,1,3,1,2,2]],[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,1,3,-2,
2,-1,4,-1]]],[[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]],[[2,1,1,1],[3,1,2,2,3,2,2,
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1,3,2,2,1,4,-2]]],[[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1,3,1,4,1,2,1,3,2,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,-1,
3,1,2,2,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,1,4,3,2,-1,3,-1]]],[[[1,1,2,-2,
1,1,2,2,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,1,4,2,2,-1,3,-1]],[[1,1,2,1],[2,
1,1,1],[1,1,2,-1,3,1,2,1,4,-1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,
1,2,1,4,1,3,1,4,-1]]],[[[2,1,1,1],[2,2],[1,1,2,1,4,1,3,2,4,-1]],[[2,1,1,1],[3,
2,2,-2,1,1,3,1,2,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,-1,4,2,3,1,2,1,3,1]],[[
1,1,2,1],[2,1,1,1],[4,1,3,2,2,2,4,-1,3,1,4,1]]],[[[1,1,2,1],[3,1,2,1,3,1,2,1,
1,1,2,2]],[[2,1,1,1],[2,1,3,-1,2,-1,1,1,3,1,2,2,3,1]],[[2,1,1,1],[3,1,2,2,3,2,
2,-2,1,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,-1,1,1,2,-2,3,1]]],[[[2,-1,1,
1,2,1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,
-1]],[[1,1,2,-3,1,1,2,3,1,1]]],[[[1,1,2,1],[2,-1,1,1,2,-1,3,2]],[[1,1,2,1],[3,
1,2,1,3,1,2,1,1,1,2,2]],[[2,1,1,1],[3,1,2,2,3,2,2,-2,1,1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1,3,1,2,1,4,-1,3,-1,4,1]]],[[[1,1,2,1],[2,1,3,1],[4,1,3,1,4,1,2,1,
1,1]],[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,2]],[[1,1,2,1],[2,1,1,1],[3,2,4,-1,3,
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2],[1,1,2,1,4,1,3,2,4,-1]],[[2,1,1,1],[3,2,2,-2,1,1,3,1,2,2]],[[1,1,2,1],[2,1,
1,1],[1,1,2,-1,3,1,4,1,2,1,3,2,4,-1]]],[[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,2,
1,3,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,4,1,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[3,
1,2,1,3,1,4,1,3,-1,2,-2,4,-1]]],[[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,2]],[[2,1,
1,1],[2,1,3,-1,2,-1,1,1,3,1,2,2,3,1]],[[2,1,1,1],[3,2,2,-2,1,1,3,1,2,2]],[[1,
1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,1,2,1,3,1]]],[[[2,1,1,1],[3,1,2,2,3,2,2,-2,1,
1]],[[2,1,1,1],[3,2,2,-2,1,1,3,1,2,2]],[[1,1,2,1],[2,1,1,1],[3,2,4,1,2,1,4,
2]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,2,-2]]],[[[1,1,2,-1,1,1,2,1,1,1]],[[2,1,
1,1],[3,1,1,1,2,1,3,-1,2,-1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2]],[[2,1,1,1],[
3,1,2,-2,1,1,2,2,3,-1]]],[[[2,1,1,1],[2,2],[1,1,2,1,4,1,3,2,4,-1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1,3,1,4,1,2,1,3,2,4,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,
3,1,4,2,3,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,1,4,3,2,-1,3,-1]]],[[[1,
1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,3,3,-2,2,-1]],[[2,1,
1,1],[2,2],[1,1,2,1,4,1,3,2,4,-1]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,3,1,2,1,3,
1]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,
-1]],[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,2]]],[[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1,
2,1]],[[1,1,2,1],[2,1,3,2,2,3,1,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,2,1,3,2]],[[1,
1,2,1],[2,1,3,1],[4,1,3,1,4,1,2,1,1,1]],[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,
2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1]],[[1,1,2,1],[1,1,2,-1,3,2,2,2]],[[1,
1,2,1],[1,1,2,-2,3,-1,2,1,3,2]]],[[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,2]],[[1,1,
2,1],[1,1,2,-2,3,1,2,1,3,1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,1,
4,-1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,1,3,-2,2,-1,4,-1]]],[[[1,1,2,
1],[1,1,2,-1,3,2,2,2]],[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]],[[2,1,1,1],[2,1,
3,1],[1,1,2,1,4,2,3,1]]],[[[2,1,1,1],[3,1,1,1,2,1,3,-1,2,-1]],[[1,1,2,1],[2,1,
3,1,2,1,1,1,2,2,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,2,3,-2]],[[1,1,2,
1],[2,1,1,1],[3,1,2,1,3,2,2,1,4,-2]]],[[[2,2],[3,1,1,1,2,1,3,1,2,1,1,1]],[[1,
1,2,1],[1,1,2,-1,3,1,2,1,3,2]]],[[[1,1,2,1],[2,1,3,3,2,2]],[[1,1,2,1],[2,1,1,
1,2,-1,3,3]]],[[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]],[[2,1,1,1],[2,1,3,-1,2,
-1,1,1,3,1,2,2,3,1]],[[2,1,1,1],[3,1,2,2,3,2,2,-2,1,1]],[[1,1,2,1],[2,1,1,1],[
3,1,4,-1,2,-1,4,-1,1,1,2,-2,3,1]]],[[[2,1,1,1],[2,1,3,-1,2,-1,1,1,3,1,2,2,3,
1]],[[2,1,1,1],[3,1,2,2,3,2,2,-2,1,1]],[[1,1,2,1],[2,1,1,1],[3,2,4,1,2,1,4,
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1,1,1],[1,1,2,-1,3,-1,4,2,2,2,3,1]]],[[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,
1]],[[2,1,1,1],[2,1,3,1],[1,1,2,1,4,2,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,
2,-1,4,-1,1,1,2,-2,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,2,4,-1,2,-1,4,
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1],[2,1,1,1],[1,1,2,-1,3,-1,4,2,3,1,2,1,3,1]]],[[[1,1,2,1],[3,2,1,1,2,-1,3,1,
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1]],[[2,1,1,1],[3,1,2,2,3,2,2,-2,1,1]],[[2,1,1,1],[3,2,2,-2,1,1,3,1,2,2]],[[1,
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2,-1,3,-1]],[[1,1,2,-3,1,1,2,3,1,1]],[[1,1,2,1],[2,1,1,1],[3,2,4,1,2,1,4,
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1,1,2,1],[2,1,1,1,2,-1,3,3]]],[[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]],[[1,1,2,
1],[2,1,1,1],[3,2,2,2,4,2]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,1]],[[1,1,2,1],[
3,1,2,1,3,1,2,1,1,1,2,2]]],[[[2,2],[2,1,1,1,3,2,1,1,2,1]],[[1,1,2,1],[2,1,3,1,
2,1,1,1,2,2,3,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,2,4,2]]],[[[1,1,2,1],[2,2,3,1,2,
1,3,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,1,4,1]]],[[[1,1,2,1],[2,
2,3,1,2,1,3,1,2,1,1,1]],[[2,1,1,1],[2,1,3,1],[1,1,2,1,4,2,3,1]],[[1,1,2,1],[1,
1,2,-2,3,-1,2,1,3,2]]],[[[1,1,2,1],[3,1,2,1,3,3,2,1,1,1]],[[1,1,2,1],[2,1,1,
1],[3,2,2,2,4,2]]],[[[1,1,2,1],[2,1,3,1],[3,1,4,2,3,1]],[[1,1,2,1],[2,1,3,1,1,
1,2,-1,1,1,2,-2,3,1]]],[[[1,1,2,1],[2,1,3,2,2,1,1,1,3,-1]],[[1,1,2,1],[2,1,3,
1],[3,1,4,2,3,1]],[[1,1,2,1],[2,1,1,1],[3,2,4,1,2,1,4,2]]],[[[1,1,2,1],[2,2,1,
1,3,-1,2,1,3,1]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,-1,2,-1]],[[1,1,2,1],[1,1,2,
-1,3,-1,2,1,1,1,3,-2]]],[[[1,1,2,1],[2,-1,1,1,2,-1,3,2]],[[1,1,2,1],[3,1,2,1,
3,1,2,1,1,1,2,2]],[[2,1,1,1],[3,1,2,2,3,2,2,-2,1,1]],[[1,1,2,1],[2,1,1,1],[3,
1,4,-1,2,-1,4,-1,1,1,2,-2,3,1]]],[[[1,1,2,1],[3,2,2,3,3,1]],[[2,1,1,1],[3,1,2,
3,3,2]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1]]],[[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,
1,1]],[[2,1,1,1],[3,1,2,2,3,2,2,-2,1,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,-1,
4,2,2,2,3,1]]],[[[2,1,1,1],[1,1,2,1,3,-2,2,-2]],[[1,1,2,1],[2,1,3,2,1,1,2,-2,
3,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,2,2,1,4,-2]],[[1,1,2,1],[2,1,1,1],[2,
1,4,-1,3,-1,2,1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,2,4,-2,2,-1,3,
-1]]],[[[1,1,2,1],[2,1,3,1],[3,1,4,2,3,1]],[[1,1,2,1],[3,1,1,1,2,-2,3,-1,2,
-1]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]],[[2,1,1,1],[3,1,2,2,3,2,2,-2,1,
1]],[[1,1,2,1],[2,1,1,1],[3,2,4,1,2,1,4,2]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,
2,-2]]],[[[2,1,1,1],[1,1,2,1,3,-2,2,-2]],[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,
2]],[[1,1,2,1],[2,1,1,1],[3,2,4,1,2,1,4,2]]],[[[1,1,2,1],[2,1,1,1,2,-1,3,2,2,
1]],[[1,1,2,1],[2,1,3,1,1,1,2,-1,1,1,2,-2,3,1]]],[[[1,1,2,1],[1,1,2,-1,3,2,2,
2]],[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,1,3,
2]]],[[[1,1,2,1],[1,1,2,-1,3,1,2,2,3,1]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,4,1,2,
1,1,1]]],[[[2,2],[2,1,1,1,3,2,1,1,2,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,2,4,2]],[[
1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-2,2,-1]]],[[[1,1,2,1],[1,1,2,-1,3,3,2,
1]],[[2,1,1,1],[2,1,3,1],[1,1,2,1,4,2,3,1]]],[[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,
1,1]],[[1,1,2,1],[3,1,2,1,3,3,2,1,1,1]],[[2,1,1,1],[3,1,2,2,3,2,2,-2,1,
1]]],[[[1,1,2,1],[2,-1,1,1,2,-1,3,2]],[[2,1,1,1],[3,1,2,2,3,2,2,-2,1,1]],[[1,
1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,1,4,1,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,
1,2,1,3,2,4,-2,2,-1,3,-1]]],[[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]],[[1,1,2,
1],[2,1,3,1,2,1,1,1,2,2,3,1]],[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,2]],[[1,1,2,
1],[2,1,1,1],[3,2,4,1,2,1,4,2]]],[[[1,1,2,1],[3,2,1,1,2,-1,3,1,2,1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1,4,-1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-2,2,
-1]]],[[[1,1,2,1],[3,2,2,3,3,1]],[[2,1,1,1],[3,1,2,3,3,2]],[[1,1,2,1],[2,1,1,
1],[3,1,2,1,3,2,2,1,4,-2]]],[[[2,-1,1,1,2,1]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,
-1]],[[1,1,2,-3,1,1,2,3,1,1]],[[1,1,2,1],[2,1,1,1],[3,2,4,1,2,1,4,2]]],[[[1,1,
2,1],[2,2,3,1,2,1,3,1,2,1,1,1]],[[2,1,1,1],[3,2,2,-2,1,1,3,1,2,2]],[[1,1,2,
1],[1,1,2,-2,3,1,2,1,1,1,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,
-1,3,1,2,2,4,1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,1]],[[1,1,2,1],[2,2,3,1,2,1,
3,1,2,1,1,1]],[[2,1,1,1],[2,1,3,1,1,1,2,1,3,-1,2,-2]]],[[[2,1,1,1,2,-1]],[[1,
1,2,1],[3,1,2,1,3,1,2,1,1,1,2,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,1,4,-1,
3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,1,3,-2,2,-1,4,-1]]],[[[1,1,2,1],[3,
1,2,1,3,1,2,1,1,1,2,2]],[[1,1,2,-1],[3,1,2,-1,1,1,2,-1,3,1,1,1,2,1]],[[1,1,2,
1],[1,1,2,-2,3,1,2,1,3,1,1,1,2,-1]]],[[[2,1,1,1],[3,1,1,1,2,1,3,-1,2,-1]],[[1,
1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]]],[[[1,
1,2,1],[2,-1,1,1,2,-1,3,2]],[[2,1,1,1],[3,1,2,2,3,2,2,-2,1,1]],[[1,1,2,1],[2,
1,1,1],[3,1,4,-1,2,-1,4,-1,1,1,2,-2,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,2,4,
-2,2,-1,3,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1]],[[2,1,1,1],[1,1,2,-1,3,
-1,1,1,2,1,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,3,3,-2,2,-1]],[[1,1,2,1],[2,1,1,
1],[3,1,2,1,4,-2,3,1,2,1,3,1]]],[[[2,1,1,1],[1,1,2,1,3,-2,2,-2]],[[1,1,2,1],[
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4,1,3,2,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,1,2,1,3,2,4,-1]]],[[[1,1,
2,1],[3,1,1,1,2,-2,3,-1,2,-1]],[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,2]],[[1,1,2,
1],[2,1,3,1,1,1,2,-1,1,1,2,-2,3,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1]],[[1,
1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,
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1,1,2,2,3,1]]],[[[2,2],[1,1,2,1,3,1,2,1,1,1,3,1]],[[2,1,1,1],[3,1,2,2,3,2,2,
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2]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,
1]]],[[[2,2],[2,1,1,1,3,2,1,1,2,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]],[[1,
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1,1,3,1]],[[2,1,1,1],[2,2],[1,1,2,1,4,1,3,2,4,-1]],[[1,1,2,1],[2,1,1,1],[4,2,
2,-1,3,-1,2,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,2,3,-2,2,
-1]]],[[[1,1,2,1],[3,1,1,1,2,-2,3,-1,2,-1]],[[2,2],[1,1,2,1,3,1,2,1,1,1,3,
1]],[[1,1,2,-3,1,1,2,3,1,1]]],[[[1,1,2,1],[3,1,1,1,2,-2,3,-1,2,-1]],[[2,2],[1,
1,2,1,3,1,2,1,1,1,3,1]],[[1,1,2,1],[2,1,3,1,1,1,2,-1,1,1,2,-2,3,1]]],[[[1,1,2,
1],[2,1,3,1],[4,1,2,1,1,1,4,1,3,1]],[[1,1,2,-1],[3,1,2,-1,1,1,2,-1,3,1,1,1,2,
1]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,3,1,1,1,2,-1]]],[[[2,1,1,1],[3,1,1,1,2,1,3,
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-1]],[[1,1,2,1],[2,1,3,1],[4,1,3,2,4,1]],[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,
1]]],[[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]],[[2,1,1,1],[2,2],[1,1,2,1,4,1,3,2,
4,-1]],[[2,1,1,1],[3,2,2,-2,1,1,3,1,2,2]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,3,
1,2,1,3,1]]],[[[1,1,2,1],[3,1,1,1,2,-2,3,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,2,
4,1,2,1,4,2]],[[1,1,2,1],[2,1,3,1,1,1,2,-1,1,1,2,-2,3,1]]],[[[1,1,2,-1,1,1,2,
1,1,1]],[[2,1,1,1],[3,1,1,1,2,1,3,-1,2,-1]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,
-1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]]],[[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,
1,1]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,
2,2,1,4,2,2,-2]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,2,3,-2,2,-1]]],[[[1,1,2,
1],[2,1,3,1,2,1,1,1,2,2,3,1]],[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,2]],[[1,1,2,
-1],[3,1,2,-1,1,1,2,-1,3,1,1,1,2,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,2,2,3,1]],[[1,
1,2,1],[3,1,2,1,3,1,2,1,1,1,2,2]],[[1,1,2,1],[2,1,1,1],[3,2,4,1,2,1,4,2]]],[[[
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1],[2,1,3,1,2,1,1,1,2,2,3,1]]],[[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]],[[1,1,2,1],[
2,1,1,1,3,-2,2,-1,3,-1]],[[1,1,2,1],[2,1,3,1],[4,1,3,2,4,1]]],[[[2,1,1,1],[2,
1,3,3,2,-1,1,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]],[[1,1,2,1],[3,1,2,1,3,
1,2,1,1,1,2,2]]],[[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[2,1,1,1],[3,2,
2,-2,1,1,3,1,2,2]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,1,2,1,3,1]],[[1,1,2,
1],[2,1,1,1],[2,1,4,-1,3,1,4,2,3,-2,2,-1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,
-1]],[[1,1,2,1],[3,1,1,1,2,-2,3,-1,2,-1]],[[1,1,2,1],[2,1,3,1,1,1,2,-1,1,1,2,
-2,3,1]]],[[[1,1,2,1],[1,1,2,-1,1,1,2,-1,3,1,2,1,3,1]],[[1,1,2,1],[1,1,2,-2,1,
1,2,-1,3,2,2,1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,1,3,2]],[[1,1,2,1],[1,1,2,-2,3,3,
1,1,2,-1]]],[[[1,1]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-2,3,1]]],[[[1,1,2,1],[1,
1,2,-2,3,1,2,1,3,1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,2,1,4,2]]],[[[1,1,
2,-1,1,1,2,4,1,1]],[[2,1,1,1],[1,1,2,-2,3,-2,2,-2]]],[[[1,1,2,-1,1,1,2,-1,1,1,
2,2]],[[1,1,2,1],[3,1,2,1],[3,1,4,1,3,1,4,1]]],[[[1,1,2,1],[2,2,3,3,2,1]],[[1,
1,2,1],[3,1,1,1,2,1,1,1,3,-2]]],[[[1,1,2,1],[2,2],[3,1,4,1,3,1,4,1]],[[2,1,1,
1],[2,1,3,1,2,1,3,-1,1,1,2,1]]],[[[1,1,2,1],[3,1,2,1,3,1]],[[1,1,2,1],[2,1,3,
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1,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,1,4,-1,3,-1,4,1]]],[[[1,1,2,1],[2,
2,3,1,2,1,3,1,2,1,1,1]],[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,2]],[[2,1,1,1],[2,2,
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1,1],[1,1,2,1,3,-1,2,-1,3,1]],[[1,1,2,-1],[3,1,1,1,2,-1,3,1,2,-1,1,1,2,1]],[[
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1],[2,1,3,1],[4,1,3,2,4,1]],[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,2]]],[[[1,1,2,
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3,1,2,1,1,1,2,2]],[[1,1,2,1],[2,1,1,1],[3,2,4,1,2,1,4,2]]],[[[2,2],[1,1,2,1,3,
1,2,1,1,1,3,1]],[[2,1,1,1],[3,1,2,2,3,2,2,-2,1,1]],[[1,1,2,1],[2,1,3,1,1,1,2,
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1,1,1,2,-1,3,-1,2,-1]],[[1,1,2,1],[1,1,2,-1,3,-1,2,1,1,1,3,-2]]],[[[1,1,2,1],[
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1,3,3,2,2]],[[1,1,2,1],[3,1,2,3,3,2]]],[[[1,1,2,1],[3,1,2,2,1,1,2,-2,3,-1]],[[
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1,1,2,2,1,1]],[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,2]],[[2,1,1,1],[3,1,2,2,3,2,2,
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1,2,1],[3,1,1,1,2,1,1,1,3,-2]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]],[[1,1,2,
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1,1,1,3,1]],[[1,1,2,1],[2,1,3,1,1,1,2,-1,1,1,2,-2,3,1]]],[[[1,1,2,1],[2,1,3,
1],[3,1,4,2,3,1]],[[1,1,2,1],[3,1,1,1,2,-2,3,-1,2,-1]],[[1,1,2,1],[2,1,3,1,1,
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3,2]],[[1,1,2,1],[2,1,3,1],[4,1,3,2,4,1]]],[[[2,1,1,1,2,-1]],[[2,2],[3,1,1,1,
2,1,3,1,2,1,1,1]],[[1,1,2,1],[1,1,2,-1,3,1,2,1,3,2]]],[[[2,1,1,1,2,-1]],[[1,1,
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-1]]],[[[2,1,1,1],[2,1,3,3,2,-1,1,1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2]],[[1,
1,2,1],[3,1,2,1,3,1,2,1,1,1,2,2]],[[1,1,2,1],[2,1,1,1],[3,2,4,1,2,1,4,2]]],[[[
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1,3,1,1,1,2,1,3,-1,2,-2]],[[2,1,1,1],[2,2],[1,1,2,1,4,1,3,2,4,-1]],[[1,1,2,
1],[1,1,2,-2,3,1,2,1,1,1,3,1,2,1,3,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,2,2,3,1]],[[
1,1,2,1],[2,1,3,1],[4,1,3,1,4,1,2,1,1,1]],[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,
2]]],[[[2,1,1,1],[1,1,2,1,3,-2,2,-2]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]],[[1,
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2,1],[2,1,3,1,2,1,1,1,2,2,3,1]],[[1,1,2,1],[2,1,1,1],[3,2,4,1,2,1,4,2]]],[[[1,
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1],[2,1,1,1,2,-1,3,2,2,1]]],[[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1,2,1]],[[1,1,2,
1],[3,1,2,2,1,1,2,-2,3,-1]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,3,1,1,1,2,-1]]],[[[1,
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1,1],[2,1,3,1],[1,1,2,1,4,2,3,1]]],[[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,2]],[[1,
1,2,1],[2,1,3,1],[4,1,2,1,1,1,4,1,3,1]],[[1,1,2,-1],[3,1,2,-1,1,1,2,-1,3,1,1,
1,2,1]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,3,1,1,1,2,-1]]],[[[1,1,2,1],[2,2,3,3,2,
1]],[[2,2],[2,1,1,1,3,2,1,1,2,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,2,4,2]]],[[[2,
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3]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,
-1]],[[1,1,2,1],[3,2,2,1,3,1,2,2,1,1]]],[[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,
1]],[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[2,1,1,1],[2,1,3,1],[1,1,2,1,
4,2,3,1]]],[[[1,1,2,-1,1,1,2,1,1,1]],[[2,1,1,1],[3,1,1,1,2,1,3,-1,2,-1]],[[1,
1,2,1],[2,1,1,1,2,-2,3,-2]]],[[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]],[[1,1,2,1],[2,
1,3,2,2,1,1,1,3,-1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2,3,1]]],[[[2,1,1,1],[2,1,3,
1,2,1,3,-1,1,1,2,1]],[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]],[[1,1,2,1],[1,1,2,
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2,1,3,1],[4,1,3,2,4,1]],[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]],[[1,1,2,1],[2,1,
1,1],[3,2,4,1,2,1,4,2]]],[[[2,1,1,1],[1,1,2,1,3,-2,2,-2]],[[1,1,2,1],[3,1,2,1,
3,1,2,1,1,1,2,2]],[[1,1,2,1],[2,1,3,2,1,1,2,-2,3,-1]]],[[[1,1,2,1],[2,1,3,2,1,
1,2,-1,3,1]],[[1,1,2,1],[3,1,2,2,1,1,2,-2,3,-1]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,
3,1,1,1,2,-1]]],[[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1,2,-1,3,
2,2,1]],[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,2,
2,3,1]],[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,2]],[[1,1,2,1],[2,1,3,1],[4,1,2,1,1,
1,4,1,3,1]],[[1,1,2,-1],[3,1,2,-1,1,1,2,-1,3,1,1,1,2,1]]],[[[1,1,2,1],[2,1,1,
1,3,-1,2,-2,3,-1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2,3,1]],[[2,2],[2,1,1,1,3,1,1,
1,2,1,3,1]]],[[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]],[[1,1,2,1],[3,1,2,1,3,3,2,
1,1,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,2,4,2]]],[[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,
1,2,1]],[[1,1,2,1],[2,1,3,2,2,3,1,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,
1]]],[[[1,1,2,1],[3,2,1,1,2,-1,3,1,2,1]],[[2,2],[2,1,1,1,3,2,1,1,2,1]],[[1,1,
2,1],[3,1,2,1,3,3,2,1,1,1]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]],[[1,1,2,
-1],[3,1,1,1,2,-1,3,1,2,-1,1,1,2,1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,1,3,2]]],[[[
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1,2,1],[3,1,2,1,1,1,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1,3,-1,2,-2,3,-1]],[[1,1,2,
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3]]],[[[2,2,1,1],[3,2,2,-1,1,1]],[[2,2,1,1,2,-1,1,1,2,2]]],[[[2,-1,1,1,2,
1]],[[1,1,2,-6]]],[[[1,1,2,-6]],[[1,1,2,1],[3,1,2,2,3,1,1,1,2,-1]]],[[[2,2,1,
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LIBTOM( "(A5xA5):2",
[[1],[1,2],[1,3],[1,4],[1,5],[1,6],[1,2,7],[1,4,8],[1,4,9],[1,2,4,10],[1,4,
11],[1,2,4,12],[1,3,4,13],[1,14],[1,15],[1,16],[1,2,5,17],[1,3,6,18],[1,2,5,
19],[1,4,5,20],[1,3,6,21],[1,4,6,22],[1,3,4,9,13,23],[1,2,4,7,10,12,24],[1,2,
4,8,9,10,12,25],[1,4,9,11,26],[1,3,4,8,11,13,27],[1,2,3,4,10,11,13,28],[1,5,6,
29],[1,2,14,30],[1,3,16,31],[1,2,14,32],[1,4,14,33],[1,3,16,34],[1,4,16,35],[
1,4,15,36],[1,2,5,7,37],[1,2,5,7,19,38],[1,2,6,7,39],[1,4,6,8,40],[1,2,4,5,10,
17,19,20,41],[1,2,4,5,12,19,20,42],[1,4,6,9,43],[1,3,4,6,13,18,21,22,44],[1,5,
14,45],[1,2,4,7,8,9,10,12,24,25,46],[1,2,3,4,8,9,10,11,12,13,23,25,26,27,28,
47],[1,2,4,8,9,10,11,12,25,26,48],[1,4,5,6,20,22,29,49],[1,2,5,6,17,19,29,
50],[1,3,5,6,18,21,29,51],[1,2,7,14,32,52],[1,2,4,10,14,30,32,33,53],[1,2,4,
12,14,32,33,54],[1,3,4,13,16,31,34,35,55],[1,4,11,15,36,56],[1,2,4,5,7,10,12,
17,19,20,24,38,41,42,57],[1,2,4,5,7,10,12,19,24,37,58],[1,3,4,6,9,13,21,23,43,
59],[1,3,4,6,8,11,13,18,27,40,60],[1,14,15,16,61],[1,2,5,14,19,30,45,62],[1,4,
5,14,20,33,45,63],[1,2,5,14,17,32,45,64],[1,2,3,4,7,8,9,10,11,12,13,23,24,25,
26,27,28,46,47,48,65],[1,4,5,6,11,20,22,29,49,66],[1,2,4,5,6,10,17,19,20,22,
29,41,49,50,67],[1,2,5,6,7,19,29,37,38,39,68],[1,3,4,5,6,13,18,20,21,22,29,44,
49,51,69],[1,2,4,7,10,12,14,24,30,32,33,52,53,54,70],[1,2,4,6,7,8,9,10,12,24,
25,39,40,46,71],[1,2,4,6,7,8,9,10,12,24,25,39,43,46,72],[1,2,4,5,7,8,9,10,12,
19,24,25,37,38,46,58,73],[1,4,14,15,16,33,35,36,61,74],[1,2,14,15,16,30,32,61,
75],[1,3,14,15,16,31,34,61,76],[1,2,5,7,14,17,30,37,77],[1,4,6,9,16,22,35,43,
78],[1,4,6,8,15,22,36,40,79],[1,2,5,7,14,32,37,45,52,80],[1,2,4,5,10,14,17,19,
20,30,32,33,41,45,53,62,63,64,81],[1,2,3,4,5,6,10,11,13,17,18,19,20,21,22,28,
29,41,44,49,50,51,66,67,69,82],[1,2,4,5,6,7,10,12,17,19,20,24,29,37,38,39,41,
42,50,57,58,68,83],[1,2,3,4,6,7,8,9,10,11,12,13,18,23,24,25,26,27,28,39,40,46,
47,48,60,65,71,84],[1,2,3,4,6,7,8,9,10,11,12,13,21,23,24,25,26,27,28,39,43,46,
47,48,59,65,72,85],[1,3,4,13,14,15,16,31,33,34,35,36,55,61,74,76,86],[1,4,11,
14,15,16,33,35,36,56,61,74,87],[1,2,4,10,14,15,16,30,32,33,35,36,53,61,74,75,
88],[1,2,4,5,7,10,12,14,17,19,20,24,30,32,33,37,41,53,58,77,89],[1,2,4,5,7,10,
12,14,19,24,30,32,33,37,45,52,53,54,58,62,70,80,90],[1,3,4,6,9,13,16,18,21,22,
23,31,34,35,43,44,55,59,78,91],[1,3,4,6,8,11,13,15,18,21,22,27,36,40,44,56,60,
79,92],[1,2,4,5,6,7,8,9,10,12,19,24,25,29,37,38,39,40,43,46,58,68,71,72,73,
93],[1,2,5,6,7,14,17,19,29,30,37,38,39,45,50,62,68,77,94],[1,2,3,4,10,11,13,
14,15,16,28,30,31,32,33,34,35,36,53,55,56,61,74,75,76,86,87,88,95],[1,2,4,5,7,
8,9,10,12,14,17,19,20,24,25,30,32,33,37,38,41,42,46,52,53,54,57,58,70,73,77,
89,96],[1,2,3,4,5,6,7,8,9,10,11,12,13,18,19,21,23,24,25,26,27,28,29,37,38,39,
40,43,46,47,48,51,58,59,60,65,68,71,72,73,84,85,93,97],[1,2,5,7,14,15,16,17,
30,32,37,45,52,61,64,75,77,80,98],[1,2,4,5,6,7,10,12,14,17,19,20,22,24,29,30,
32,33,37,38,39,41,42,45,49,50,53,57,58,62,63,64,67,68,77,81,83,89,94,99],[1,2,
4,5,7,10,12,14,15,16,17,19,20,24,30,32,33,35,36,37,41,45,52,53,54,58,61,62,63,
64,70,74,75,77,80,81,88,89,90,98,100],[1,2,4,5,6,7,8,9,10,12,14,17,19,20,24,
25,29,30,32,33,37,38,39,40,41,42,43,45,46,50,52,53,54,57,58,62,68,70,71,72,73,
77,80,83,89,90,93,94,96,101],[1,2,4,5,6,7,8,9,10,12,14,15,16,17,19,20,22,24,
25,29,30,32,33,35,36,37,38,39,40,41,42,43,45,46,49,50,52,53,54,57,58,61,62,63,
64,67,68,70,71,72,73,74,75,77,78,79,80,81,83,88,89,90,93,94,96,98,99,100,101,
102],[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]],
0,[[1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,3,1],[1,3,1],[1,3,1],[1,2,1,1],[1,1,
1],[1,1,2,1],[1,2,1,1],[1,1],[1,1],[1,1],[1,3,1,1],[1,3,1,1],[1,1,1,1],[1,3,1,
1],[1,1,1,1],[1,3,1,1],[1,4,3,1,6,1],[1,4,3,1,3,3,1],[1,2,5,1,1,1,4,1],[1,3,1,
2,1],[1,2,3,1,1,1,1],[1,2,2,1,1,1,1,1],[1,2,2,1],[1,5,1,1],[1,5,1,1],[1,1,1,
1],[1,5,1,1],[1,1,1,1],[1,5,1,1],[1,5,1,1],[1,3,4,1,1],[1,3,1,1,3,1],[1,3,4,1,
1],[1,3,4,1,1],[1,4,3,1,3,1,1,1,1],[1,1,6,1,3,1,2,1],[1,3,4,1,1],[1,4,3,1,3,1,
1,1,1],[1,1,1,1],[1,6,9,2,3,3,9,18,6,9,1],[1,2,4,5,1,1,1,2,4,6,1,1,1,2,2,1],[
1,2,5,1,1,1,4,4,1,2,1],[1,9,2,2,6,6,1,1],[1,3,2,2,1,3,1,1],[1,3,2,2,1,3,1,1],[
1,3,1,1,3,1],[1,6,5,5,1,1,1,1,1],[1,1,10,5,1,1,2,1],[1,6,5,5,1,1,1,1,1],[1,5,
5,1,1,1],[1,6,9,1,1,9,9,1,3,3,3,1,3,3,1],[1,4,3,4,1,3,3,4,1,1,1],[1,4,3,4,1,6,
4,1,1,1],[1,6,3,4,1,3,3,4,3,1,1],[1,2,2,2,1],[1,5,1,1,5,1,1,1],[1,15,1,1,5,3,
1,1],[1,3,1,1,1,3,1,1],[1,6,4,9,2,3,3,9,6,18,6,1,6,9,3,6,6,1,3,3,1],[1,9,2,2,
9,6,6,1,1,1],[1,6,9,2,2,9,2,6,6,6,1,6,1,2,1],[1,3,5,8,1,3,4,1,1,2,1],[1,6,9,2,
2,9,2,6,6,6,1,6,1,2,1],[1,8,15,1,15,15,1,5,1,3,3,1,3,3,1],[1,6,9,16,2,3,3,9,
18,6,9,8,12,1,1],[1,6,9,16,2,3,3,9,18,6,9,8,12,1,1],[1,6,9,4,2,3,3,9,18,12,6,
9,1,4,1,3,1],[1,25,2,2,2,10,10,10,1,1],[1,5,2,2,2,1,5,1,1],[1,5,2,2,2,1,5,1,
1],[1,15,10,5,6,10,6,5,1],[1,15,10,5,6,10,6,5,1],[1,15,10,5,6,10,6,5,1],[1,3,
4,1,1,3,1,4,1,1],[1,8,15,1,15,1,1,5,5,1,3,3,5,1,3,1,1,1,1],[1,6,6,9,2,2,9,9,9,
2,2,6,6,6,6,9,1,6,6,1,2,2,1,1,1,1],[1,6,9,5,8,1,9,9,1,15,3,3,4,1,1,2,3,3,4,1,
3,1,1],[1,6,12,9,16,2,3,3,9,18,18,18,16,3,6,9,9,18,18,8,12,1,9,9,12,3,1,1],[1,
6,4,9,16,2,3,3,9,6,18,6,16,1,6,9,3,6,6,8,12,1,3,3,4,1,1,1],[1,10,25,25,2,2,2,
2,10,10,10,10,10,1,1,2,1],[1,25,25,2,2,2,10,10,10,10,1,1,1],[1,10,25,25,2,2,2,
2,10,10,10,10,10,1,1,2,1],[1,16,15,10,5,15,15,6,10,10,10,5,6,6,6,5,10,6,5,1,
1],[1,8,15,4,1,15,15,1,20,5,1,3,3,1,4,1,3,3,5,4,1,1,1],[1,16,15,10,5,30,6,10,
10,10,5,6,6,6,5,10,6,5,1,1],[1,10,15,10,5,15,15,6,10,10,10,15,6,5,10,6,5,1,
1],[1,6,9,8,32,2,3,3,9,18,24,6,9,16,2,8,16,12,12,1,6,8,1,1,2,1],[1,15,11,20,5,
6,10,15,10,6,5,5,10,6,10,6,5,1,1],[1,10,10,25,25,25,25,2,2,2,25,2,2,10,10,10,
10,10,10,10,10,1,1,2,2,1,1,1,1],[1,18,45,10,6,15,15,45,90,6,10,30,30,30,45,6,
18,18,5,10,30,30,5,6,18,18,10,15,6,5,1,3,1],[1,6,12,9,8,32,2,3,3,9,18,18,18,
16,24,48,3,6,9,9,18,18,16,2,8,16,12,12,1,9,9,16,6,12,12,3,8,1,1,2,1,3,1,1],[1,
15,10,5,7,12,12,10,6,15,5,10,5,6,10,6,1,5,1],[1,18,45,11,20,5,45,45,6,11,45,
45,60,15,10,6,18,18,5,5,10,45,15,6,10,20,18,5,15,6,6,6,10,5,1,6,5,3,1,1],[1,
20,75,10,5,75,75,7,12,12,10,50,50,25,7,45,45,60,60,5,50,10,5,45,15,25,6,10,10,
10,5,6,12,1,5,10,6,5,5,1,1],[1,18,45,14,80,6,15,15,45,90,6,10,90,30,30,45,40,
6,18,18,6,30,60,60,30,30,60,24,5,40,6,18,18,10,30,24,30,6,5,5,10,1,6,10,3,6,5,
4,1,1],[1,30,225,20,200,10,75,75,225,450,12,72,72,20,300,300,600,150,225,100,
12,180,180,360,360,10,100,200,300,300,300,300,120,25,100,200,60,180,180,100,
150,36,120,120,120,100,100,60,25,25,50,36,72,2,60,60,60,120,100,36,30,60,25,
20,10,12,20,12,10,1],[1,30,60,225,20,200,10,75,75,225,450,450,450,12,72,72,20,
200,300,300,600,600,75,150,225,225,450,450,100,12,72,180,180,360,360,360,10,
100,200,300,300,300,300,600,120,25,225,225,100,200,200,60,180,180,360,360,100,
150,300,300,36,120,120,120,75,100,100,100,100,60,25,25,50,36,72,72,2,60,60,60,
120,100,100,25,75,36,36,36,30,60,60,60,25,20,36,10,25,12,20,12,10,1,1]],
[1,2,2,2,3,3,4,4,4,4,4,4,4,5,5,5,6,6,6,6,6,6,8,8,8,8,8,8,9,10,10,10,10,10,10,
10,12,12,12,12,12,12,12,12,15,16,16,16,18,18,18,20,20,20,20,20,24,24,24,24,25,
30,30,30,32,36,36,36,36,40,48,48,48,50,50,50,60,60,60,60,60,72,72,96,96,100,
100,100,120,120,120,120,144,180,200,240,288,300,360,600,720,3600,7200],
[103,96,91,65,99,69,101,84,85,65,47,46,47,100,87,86,99,69,57,57,44,44,85,73,
65,65,47,47,82,100,86,70,70,55,55,56,101,83,68,60,57,57,59,44,81,97,65,65,82,
67,69,90,70,70,55,56,83,73,59,60,95,81,81,81,85,82,82,83,82,90,97,97,93,95,88,
86,102,91,92,90,81,82,83,97,85,95,95,95,96,90,91,92,97,99,95,101,97,100,99,
100,101,103,103],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,5,6,1,5,1,6,1,1,1,1,4,4,1,14,16,1,14,1,16,15,
7,1,7,8,5,5,9,6,1,1,4,4,29,5,6,1,14,14,16,15,5,7,9,40,1,14,45,5,9,29,29,7,29,
14,46,46,7,61,14,16,77,78,79,7,45,49,38,71,46,61,61,61,77,52,78,79,46,77,74,
77,71,77,94,98,96,102,102],
[( 1, 3)( 2, 4)( 5, 6)( 7, 8)( 9,10),( 1,10, 9, 8, 6, 2, 4, 3, 7, 5)],
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1],[2,1,3,1],[4,1,3,1,4,1]]],[[[1,1,2,1],[1,1,2,-1,3,2,1,1,2,-1]]],[[[1,1,2,
1],[2,1,3,1],[1,1,2,-1,4,-1,3,-1,2,1,1,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,
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1,1,3,1]],[[2,2],[3,2,1,1,2,1]]],[[[1,1,2,1],[2,1,3,1],[4,1,3,1,1,1,2,-1,4,
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2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,-2,4,-1,2,-1,4,-1]],[[1,1,2,1],[2,1,3,1],[1,1,
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1]]],[[[1,1,2,1],[2,2],[2,1,1,1,4,-1,3,-2,4,-1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,
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4,2,2,1,1,1]]],[[[2,2],[3,1,1,1,2,2,1,1,3,1]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,1,
1,2,-1,4,-1]]],[[[2,-5]],[[2,2],[3,1,2,1,1,1,3,1,1,1,2,1]]],[[[1,1,2,1],[2,1,
1,1],[3,1,4,2,3,1,2,2]],[[2,1,1,1],[1,1,2,-1],[4,1,2,-1,3,-2,2,-1,1,1,4,
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1,1,2,2,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,1,4,2,2,-1,3,-1]]],[[[1,1,2,
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2,1,1,2,1,3,-2,2,-1]],[[1,1,2,1],[3,1,2,2,1,1,2,-1,3,-1,2,-1]]],[[[1,1,2,-1,1,
1,2,1,1,1]],[[2,2],[3,1,2,1,1,1,3,1]]],[[[2,2],[1,1,2,1,3,1,1,1,2,-1,3,-1]],[[
1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,-1]]],[[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,
-1]],[[1,1,2,1],[1,1,2,-2,3,3,2,1]]],[[[2,1,1,1],[1,1,2,-1,3,-2,2,-1,1,1]],[[
2,1,1,1],[1,1,2,-2,3,-1,1,1,2,2,3,1]]],[[[1,1,2,1],[2,1,3,2,2,1,1,1,2,-1]],[[
1,1,2,1],[1,1,2,-2,3,-1,2,1,3,1]]],[[[2,2],[3,1,2,1,1,1,3,1,1,1,2,1]],[[1,1,2,
-3,1,1,2,3,1,1]],[[1,1,2,1],[3,1,1,1,2,-2,3,-1,2,-2]]],[[[1,1,2,1],[1,1,2,-1,
3,-2,2,-1]],[[1,1,2,1],[3,1,2,1,1,1,2,1,3,1]]],[[[2,2],[3,1,1,1,2,1,1,1,2,-1,
3,-1]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,3,2]]],[[[2,2],[3,1,2,1,1,1,3,1]],[[1,1,2,
1],[3,1,2,1,3,1,2,2,1,1]]],[[[1,1,2,-2,1,1,2,2,1,1]],[[2,2],[2,1,1,1,3,1,1,1,
2,1,3,1]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1]]],[[[1,1,2,1],[3,3,2,2]],[[2,1,1,
1],[1,1,2,-2,3,-1,1,1,2,2,3,1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,1,2,1,3,1,4,1,2,
-1,3,-1,2,1,1,1]]],[[[1,1,2,-2,1,1,2,-2]],[[2,2],[3,1,2,1,1,1,3,1,1,1,2,1]],[[
1,1,2,1],[2,1,3,2,2,2,1,1,3,-1]]],[[[2,2],[3,1,1,1,2,1,3,1]],[[1,1,2,-1],[3,2,
1,1,2,2,1,1]],[[1,1,2,1],[2,1,3,2,2,2,1,1,3,-1]]],[[[2,2],[3,1,1,1,2,1,1,1,2,
-1,3,-1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[3,2,2,2,
4,2]]],[[[1,1,2,-1,1,1,2,1]],[[1,1,2,1,1,1,2,-1]],[[2,2],[2,1,1,1,3,1,1,1,2,1,
3,1]]],[[[2,2],[1,1,2,1,3,1,1,1,2,-1,3,-1]],[[1,1,2,1],[2,1,3,2,2,2,1,1]]],[[[
2,1,1,1,2,-1]],[[1,1,2,1],[2,2],[3,1,4,1,3,1,4,1]]],[[[1,1,2,1],[3,2,1,1,2,
1]],[[1,1,2,-2],[3,2,1,1,2,1]]],[[[1,1,2,-2,1,1,2,2]],[[2,2],[2,1,1,1,3,-1,1,
1,2,1,3,1]]],[[[1,1,2,1,1,1,2,-1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2]]],[[[1,1,2,
1],[3,1,2,2,3,1]],[[1,1,2,1],[3,3,2,2]]],[[[1,1,2,1,1,1,2,-1]],[[1,1,2,1],[2,
1,1,1],[1,1,2,-1,3,2,4,2]]],[[[2,1,1,1,2,-1]],[[1,1,2,1],[1,1,2,-2,3,3,2,
1]]],[[[1,1,2,1],[3,1,2,1,3,1,2,2,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,1,2,1,
3,1,4,1]]],[[[2,1,1,1,2,-1]],[[1,1,2,2,1,1,2,2]],[[1,1,2,1],[2,1,1,1],[3,2,2,
1,3,1,4,2]]],[[[1,1,2,1],[2,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,3,3,2]]],[[[2,1,1,
1],[2,1,3,-1,2,-1,1,1,3,1]],[[2,2],[3,1,2,1,1,1,3,1,1,1,2,1]]],[[[1,1,2,1],[2,
1,3,2,2,2]],[[2,2],[1,1,2,1,3,1,1,1,2,-1,3,-1]]],[[[1,1,2,1],[3,3,2,2]],[[1,1,
2,1],[2,1,3,2,2,2,1,1]]],[[[1,1,2,-2],[3,2,1,1,2,1]],[[2,1,1,1],[2,1,1,1,2,2,
3,2]]],[[[1,1,2,3]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,3,2]]],[[[1,1]],[[2,2],[2,1,
1,1,3,-1,1,1,2,1,3,1]]],[[[1,1]],[[1,1,2,1],[3,3,2,1,3,1]]],[[[2,2],[3,2,1,1,
2,1]],[[1,1,2,1],[3,1,2,1,3,1,2,2,1,1]]],[[[1,1,2,1],[3,2,1,1,2,1]],[[1,1,2,
1],[3,1,2,1,3,1,2,2,1,1]]],[[[1,1]],[[1,1,2,1],[2,1,3,2,2,2]]],[[[1,1,2,3]],[[
2,1,1,1],[1,1,2,-1,3,-1,2,-2,3,-1]]],[[[1,1,2,-1,1,1,2,1,1,1]],[[1,1,2,1],[2,
1,1,1,2,-1,3,-2]]],[[[2,-2]],[[1,1,2,1],[3,2,1,1,2,1]]],[[[2,2,1,1,2,1]],[[1,
1,2,1,1,1,2,-1]],[[1,1,2,-1],[3,2,1,1,2,2,1,1]]],[[[2,-2]],[[1,1,2,-1],[3,2,1,
1,2,2,1,1]]],[[[2,1,1,1,2,-2]],[[1,1,2,3]]],[[[1,1,2,1]],[[2,2]]],[[[1,1]],[[
2,1]]]]);


LIBTOM( "5^(1+2)+:4A5",
[[1],[1,2],[1,3],[1,4],[1,2,5],[1,2,6],[1,2,3,7],[1,8],[1,9],[1,10],[1,11],[1,
12],[1,13],[1,2,4,14],[1,3,4,15],[1,3,4,16],[1,2,6,17],[1,2,3,5,6,7,18],[1,2,
3,6,7,19],[1,2,8,20],[1,2,9,21],[1,3,10,22],[1,2,10,23],[1,3,8,24],[1,2,12,
25],[1,3,12,26],[1,2,11,27],[1,3,11,28],[1,3,10,29],[1,3,9,30],[1,3,9,31],[1,
3,12,32],[1,3,11,33],[1,3,13,34],[1,2,4,6,14,35],[1,2,4,5,14,36],[1,2,3,4,7,
14,15,16,37],[1,4,8,38],[1,2,3,5,6,7,17,18,19,39],[1,2,5,8,20,40],[1,2,5,9,21,
41],[1,2,6,10,23,42],[1,2,6,9,21,43],[1,2,3,7,8,20,24,44],[1,2,6,8,20,45],[1,
2,3,7,10,22,23,29,46],[1,2,3,7,9,21,30,31,47],[1,2,5,10,23,48],[1,2,3,7,12,25,
26,32,49],[1,2,3,7,11,27,28,33,50],[1,2,4,6,14,17,51],[1,2,3,4,5,6,7,14,15,16,
18,35,36,37,52],[1,8,9,53],[1,9,10,12,54],[1,8,10,11,12,55],[1,9,10,11,12,
56],[1,9,11,12,57],[1,8,13,58],[1,3,4,8,15,24,38,59],[1,2,4,8,14,20,38,60],[1,
3,4,8,16,24,38,61],[1,2,6,8,17,20,45,62],[1,2,3,5,6,7,8,18,20,24,40,44,45,
63],[1,2,3,6,7,8,19,20,24,44,45,64],[1,2,3,5,6,7,9,18,21,30,31,41,43,47,65],[
1,2,3,5,6,7,10,18,22,23,29,42,46,48,66],[1,2,3,4,5,6,7,14,17,18,19,36,39,51,
67],[1,3,8,10,11,12,22,24,26,28,55,68],[1,3,8,9,24,31,53,69],[1,2,8,9,20,21,
53,70],[1,2,9,10,12,21,23,54,71],[1,2,9,11,12,21,27,57,72],[1,2,9,10,11,12,21,
25,56,73],[1,3,8,13,24,34,58,74],[1,3,9,10,12,22,30,54,75],[1,2,8,10,11,12,20,
23,25,27,55,76],[1,3,8,10,11,12,24,29,32,33,55,77],[1,3,8,9,24,30,53,78],[1,3,
9,10,12,29,31,32,54,79],[1,3,9,11,12,31,32,33,57,80],[1,3,9,10,11,12,29,31,32,
33,56,81],[1,3,9,11,12,28,30,57,82],[1,3,9,10,11,12,26,30,56,83],[1,2,4,5,8,
14,20,36,38,40,60,84],[1,2,3,4,7,8,14,15,16,20,24,37,38,44,59,60,61,85],[1,2,
4,6,8,14,20,35,38,45,60,86],[1,2,3,5,6,7,8,17,18,19,20,24,39,40,44,45,62,63,
64,87],[1,2,6,9,10,12,21,23,42,43,54,71,88],[1,2,5,8,9,20,21,40,41,53,70,89],[
1,2,5,9,10,12,21,23,41,48,54,71,90],[1,2,5,8,10,11,12,20,23,25,27,40,48,55,76,
91],[1,2,6,8,10,11,12,20,23,25,27,42,45,55,76,92],[1,2,3,7,9,10,12,21,22,23,
29,30,31,32,46,47,54,71,75,79,93],[1,2,3,7,8,10,11,12,20,22,23,24,25,26,27,28,
29,32,33,44,46,49,50,55,68,76,77,94],[1,2,6,8,9,20,21,43,45,53,70,95],[1,2,3,
7,8,9,20,21,24,30,31,44,47,53,69,70,78,96],[1,2,3,7,9,10,11,12,21,25,26,29,30,
31,32,33,47,49,56,73,81,83,97],[1,2,3,7,9,11,12,21,27,28,30,31,32,33,47,50,57,
72,80,82,98],[1,2,4,6,10,14,17,23,35,42,51,99],[1,2,4,6,8,14,17,20,38,45,51,
60,62,100],[1,2,3,4,5,6,7,8,14,15,16,18,20,24,35,36,37,38,40,44,45,52,59,60,
61,63,84,85,86,101],[1,8,9,53,102],[1,8,9,10,11,12,53,54,55,56,57,103],[1,8,9,
13,53,58,104],[1,2,3,5,6,7,8,10,11,12,18,20,22,23,24,25,26,27,28,29,32,33,40,
42,44,45,46,48,49,50,55,63,66,68,76,77,91,92,94,105],[1,2,3,5,6,7,9,10,12,18,
21,22,23,29,30,31,32,41,42,43,46,47,48,54,65,66,71,75,79,88,90,93,106],[1,2,3,
5,6,7,8,9,18,20,21,24,30,31,40,41,43,44,45,47,53,63,65,69,70,78,89,95,96,
107],[1,2,3,4,5,6,7,10,14,15,16,17,18,19,22,23,29,35,36,37,39,42,46,48,51,52,
66,67,99,108],[1,2,3,4,5,6,7,8,14,17,18,19,20,24,36,38,39,40,44,45,51,60,62,
63,64,67,84,87,100,109],[1,2,8,9,20,21,53,70,102,110],[1,3,8,9,10,11,12,24,29,
31,32,33,53,54,55,56,57,69,77,79,80,81,103,111],[1,3,8,9,24,30,31,53,69,78,
102,112],[1,3,8,9,10,11,12,22,24,26,28,30,53,54,55,56,57,68,75,78,82,83,103,
113],[1,2,8,9,10,11,12,20,21,23,25,27,53,54,55,56,57,70,71,72,73,76,103,114],[
1,3,8,9,13,24,30,34,53,58,74,78,104,115],[1,4,8,9,38,53,102,116],[1,2,5,8,9,
20,21,40,41,53,70,89,102,110,117],[1,2,3,7,8,9,20,21,24,30,31,44,47,53,69,70,
78,96,102,110,112,118],[1,2,6,8,9,20,21,43,45,53,70,95,102,110,119],[1,2,3,7,
8,9,10,11,12,20,21,22,23,24,25,26,27,28,29,30,31,32,33,44,46,47,49,50,53,54,
55,56,57,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,93,94,96,97,98,103,111,
113,114,120],[1,2,5,8,9,10,11,12,20,21,23,25,27,40,41,48,53,54,55,56,57,70,71,
72,73,76,89,90,91,103,114,121],[1,2,6,8,9,10,11,12,20,21,23,25,27,42,43,45,53,
54,55,56,57,70,71,72,73,76,88,92,95,103,114,122],[1,2,4,6,8,10,11,12,14,17,20,
23,25,27,35,38,42,45,51,55,60,62,76,86,92,99,100,123],[1,8,9,10,11,12,13,53,
54,55,56,57,58,102,103,104,124],[1,2,4,8,9,14,20,21,38,53,60,70,102,110,116,
125],[1,3,4,8,9,15,24,30,31,38,53,59,69,78,102,112,116,126],[1,3,4,8,9,16,24,
30,31,38,53,61,69,78,102,112,116,127],[1,2,6,8,9,17,20,21,43,45,53,62,70,95,
102,110,119,128],[1,2,3,5,6,7,8,9,18,20,21,24,30,31,40,41,43,44,45,47,53,63,
65,69,70,78,89,95,96,102,107,110,112,117,118,119,129],[1,2,3,6,7,8,9,19,20,21,
24,30,31,43,44,45,47,53,64,69,70,78,95,96,102,110,112,118,119,130],[1,2,3,5,6,
7,8,9,10,11,12,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,40,41,42,43,44,45,
46,47,48,49,50,53,54,55,56,57,63,65,66,68,69,70,71,72,73,75,76,77,78,79,80,81,
82,83,88,89,90,91,92,93,94,95,96,97,98,103,105,106,107,111,113,114,120,121,
122,131],[1,2,3,4,5,6,7,8,10,11,12,14,15,16,17,18,19,20,22,23,24,25,26,27,28,
29,32,33,35,36,37,38,39,40,42,44,45,46,48,49,50,51,52,55,59,60,61,62,63,64,66,
67,68,76,77,84,85,86,87,91,92,94,99,100,101,105,108,109,123,132],[1,3,8,9,10,
11,12,13,22,24,26,28,30,31,34,53,54,55,56,57,58,68,69,74,75,78,82,83,102,103,
104,112,113,115,124,133],[1,2,8,9,10,11,12,13,20,21,23,25,27,53,54,55,56,57,
58,70,71,72,73,76,102,103,104,110,114,124,134],[1,3,8,9,10,11,12,13,24,29,30,
31,32,33,53,54,55,56,57,58,69,77,78,79,80,81,102,103,104,111,112,124,135],[1,
2,4,5,8,9,14,20,21,36,38,40,41,53,60,70,84,89,102,110,116,117,125,136],[1,2,3,
4,7,8,9,14,15,16,20,21,24,30,31,37,38,44,47,53,59,60,61,69,70,78,85,96,102,
110,112,116,118,125,126,127,137],[1,2,4,6,8,9,14,20,21,35,38,43,45,53,60,70,
86,95,102,110,116,119,125,138],[1,2,3,5,6,7,8,9,17,18,19,20,21,24,30,31,39,40,
41,43,44,45,47,53,62,63,64,65,69,70,78,87,89,95,96,102,107,110,112,117,118,
119,128,129,130,139],[1,2,6,8,9,10,11,12,13,20,21,23,25,27,42,43,45,53,54,55,
56,57,58,70,71,72,73,76,88,92,95,102,103,104,110,114,119,122,124,134,140],[1,
2,5,8,9,10,11,12,13,20,21,23,25,27,40,41,48,53,54,55,56,57,58,70,71,72,73,76,
89,90,91,102,103,104,110,114,117,121,124,134,141],[1,2,3,7,8,9,10,11,12,13,20,
21,22,23,24,25,26,27,28,29,30,31,32,33,34,44,46,47,49,50,53,54,55,56,57,58,68,
69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,93,94,96,97,98,102,103,104,110,
111,112,113,114,115,118,120,124,133,134,135,142],[1,2,4,6,8,9,14,17,20,21,38,
43,45,51,53,60,62,70,95,100,102,110,116,119,125,128,143],[1,2,3,4,5,6,7,8,9,
14,15,16,18,20,21,24,30,31,35,36,37,38,40,41,43,44,45,47,52,53,59,60,61,63,65,
69,70,78,84,85,86,89,95,96,101,102,107,110,112,116,117,118,119,125,126,127,
129,136,137,138,144],[1,2,3,5,6,7,8,9,10,11,12,13,18,20,21,22,23,24,25,26,27,
28,29,30,31,32,33,34,40,41,42,43,44,45,46,47,48,49,50,53,54,55,56,57,58,63,65,
66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,88,89,90,91,92,93,94,95,96,
97,98,102,103,104,105,106,107,110,111,112,113,114,115,117,118,119,120,121,122,
124,129,131,133,134,135,140,141,142,145],[1,2,3,4,5,6,7,8,9,14,17,18,19,20,21,
24,30,31,36,38,39,40,41,43,44,45,47,51,53,60,62,63,64,65,67,69,70,78,84,87,89,
95,96,100,102,107,109,110,112,116,117,118,119,125,128,129,130,136,139,143,
146],[1,2,4,6,8,9,10,11,12,13,14,17,20,21,23,25,27,35,38,42,43,45,51,53,54,55,
56,57,58,60,62,70,71,72,73,76,86,88,92,95,99,100,102,103,104,110,114,116,119,
122,123,124,125,128,134,138,140,143,147],[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]],
0,[[1],[1,1],[1,1],[1,1],[1,1,1],[1,1,1],[1,1,2,1],[1,1],[1,1],[1,1],[1,1],[1,
1],[1,1],[1,1,1,1],[1,3,1,1],[1,3,1,1],[1,1,3,1],[1,1,2,1,1,1,1],[1,1,4,1,2,
1],[1,1,1,1],[1,5,1,1],[1,5,1,1],[1,1,1,1],[1,5,1,1],[1,1,1,1],[1,5,1,1],[1,1,
1,1],[1,5,1,1],[1,5,1,1],[1,1,1,1],[1,5,1,1],[1,5,1,1],[1,5,1,1],[1,5,1,1],[1,
1,1,3,1,1],[1,1,1,1,1,1],[1,1,6,1,3,1,1,1,1],[1,1,1,1],[1,1,6,1,3,3,1,3,3,1],[
1,1,5,1,1,1],[1,5,5,1,1,1],[1,1,5,1,1,1],[1,5,5,1,1,1],[1,1,10,5,1,1,2,1],[1,
1,1,1,1,1],[1,1,10,5,1,1,1,1,1],[1,5,6,5,1,1,1,1,1],[1,1,1,1,1,1],[1,1,10,5,1,
1,1,1,1],[1,1,10,5,1,1,1,1,1],[1,1,4,3,4,1,1],[1,1,6,1,1,3,3,1,1,1,3,1,1,1,
1],[1,1,5,1],[1,1,1,4,1],[1,1,1,2,2,1],[1,1,2,2,1,1],[1,1,3,2,1],[1,1,5,1],[1,
15,1,1,5,3,1,1],[1,1,1,1,1,1,1,1],[1,15,1,1,5,3,1,1],[1,1,3,1,1,1,3,1],[1,1,
10,5,1,5,1,5,1,2,1,1,1,1],[1,1,20,1,10,1,5,1,4,2,1,1],[1,5,6,5,5,5,1,5,1,1,1,
1,1,1,1],[1,1,10,1,5,5,1,5,1,1,1,1,1,1,1],[1,1,6,4,1,3,3,4,1,3,3,4,1,1,1],[1,
25,1,1,2,2,5,5,10,10,1,1],[1,25,1,5,5,25,1,1],[1,5,1,5,5,1,1,1],[1,5,1,1,4,1,
5,1,1],[1,5,1,3,2,1,5,1,1],[1,5,1,2,2,1,1,5,1,1],[1,25,1,5,5,25,1,1],[1,5,1,1,
4,1,5,1,1],[1,1,1,1,2,2,1,1,2,2,1,1],[1,25,1,1,2,2,5,5,10,10,1,1],[1,5,1,5,1,
5,1,1],[1,25,1,1,4,5,5,20,1,1],[1,25,1,3,2,5,10,15,1,1],[1,25,1,2,2,1,10,5,5,
10,1,1],[1,5,1,3,2,1,5,1,1],[1,5,1,2,2,1,1,5,1,1],[1,1,1,5,1,1,1,5,1,1,1,1],[
1,1,30,1,15,1,1,5,5,1,6,5,1,3,1,1,1,1],[1,1,1,3,1,1,1,1,1,3,1,1],[1,1,30,5,3,
15,1,1,15,15,1,6,5,1,3,3,1,3,3,1],[1,5,25,1,1,4,1,5,5,5,1,1,1],[1,5,25,1,5,5,
1,5,5,1,1,1],[1,5,5,1,1,4,1,5,1,5,1,1,1],[1,1,5,1,1,2,2,1,1,2,2,1,5,1,1,1],[1,
1,5,1,1,2,2,1,1,2,2,1,5,1,1,1],[1,5,30,25,1,1,4,1,1,5,5,5,5,20,5,5,1,1,1,1,
1],[1,1,50,25,1,1,2,2,1,5,1,10,2,10,2,10,5,10,10,5,5,10,10,1,1,1,1,1],[1,5,5,
1,5,5,1,1,5,1,1,1],[1,5,30,25,1,5,5,1,6,5,25,5,5,1,1,1,1,1],[1,5,30,25,1,2,2,
1,1,5,1,10,5,5,5,10,5,5,1,1,1,1,1],[1,5,30,25,1,3,2,1,5,1,5,5,10,15,5,5,1,1,1,
1,1],[1,1,10,15,6,10,5,6,10,6,5,1],[1,1,4,3,1,4,1,1,4,3,1,4,1,1],[1,1,30,1,5,
3,15,1,1,5,5,15,1,6,1,5,5,1,1,3,3,5,1,1,1,3,1,1,1,1],[1,1,30,6,1],[1,1,5,5,10,
10,1,5,5,10,10,1],[1,1,5,25,1,5,1],[1,1,50,5,5,25,1,1,2,2,25,1,5,1,10,2,10,2,
10,5,10,10,1,1,5,5,5,5,10,10,1,5,5,1,1,1,1,1,1,1],[1,5,30,5,25,25,1,1,4,25,1,
1,5,5,5,5,20,1,5,5,5,5,5,1,5,5,1,1,1,1,1,1,1],[1,5,30,25,5,25,1,5,25,5,1,6,5,
25,5,5,1,5,5,5,1,5,5,1,1,1,1,1,1,1],[1,1,30,10,1,15,15,6,10,10,10,5,15,15,6,6,
6,10,10,10,5,6,6,6,5,10,6,5,1,1],[1,1,30,4,5,3,15,1,4,1,15,15,1,6,20,4,5,1,3,
3,1,4,1,3,3,5,4,1,1,1],[1,25,1,30,25,30,6,30,1,1],[1,125,1,5,5,10,10,25,125,
125,250,250,1,5,5,10,10,5,25,25,50,50,1,1],[1,25,1,30,5,25,25,6,1,5,1,1],[1,
25,1,5,5,10,10,5,5,10,10,25,1,5,5,10,10,1,5,5,10,10,1,1],[1,5,1,5,5,10,10,5,1,
5,10,10,1,5,5,10,10,1,1,2,2,5,1,1],[1,25,1,5,25,5,25,25,1,5,1,5,1,1],[1,25,1,
30,25,6,1,1],[1,25,125,1,30,25,30,25,150,6,30,30,1,1,1],[1,25,50,125,1,30,25,
30,10,50,50,25,50,6,2,30,10,10,1,1,2,1],[1,25,25,1,30,25,30,10,25,6,30,10,1,1,
1],[1,5,150,125,1,5,5,10,10,5,1,5,5,30,10,10,10,10,125,25,125,250,250,25,25,
25,50,50,1,5,5,10,10,1,5,1,1,2,2,5,5,25,5,25,50,50,10,10,5,5,5,10,10,1,1,1,1,
1],[1,5,25,1,5,5,10,10,5,1,5,10,10,5,5,25,1,5,5,10,10,1,1,2,2,5,1,5,5,1,1,1],[
1,5,25,1,5,5,10,10,5,1,5,10,10,5,5,25,1,5,5,10,10,1,1,2,2,5,1,5,5,1,1,1],[1,1,
10,15,1,6,12,12,10,5,1,6,12,12,10,10,6,15,5,6,10,5,6,10,6,1,5,1],[1,1,30,5,10,
10,100,6,5,5,10,10,20,1,1,4,1],[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],[1,75,25,1,30,125,15,75,75,25,6,
25,3,15,1,3,1,1],[1,25,75,1,30,25,25,30,30,75,6,25,30,30,1,1,3,1],[1,25,50,
125,25,125,1,30,125,25,30,10,50,50,25,150,10,25,25,50,6,25,50,2,30,10,30,10,
10,1,10,1,2,1,1,1,1],[1,25,100,25,250,1,30,125,25,30,20,100,100,10,50,25,100,
6,25,4,30,20,10,20,1,1,4,2,1,1],[1,5,150,25,25,125,1,5,5,10,10,125,5,1,5,5,30,
10,10,10,10,125,25,125,250,250,5,5,5,5,25,25,25,25,25,50,50,1,5,5,10,10,25,25,
25,1,5,1,1,2,2,5,5,25,5,25,50,50,10,10,1,1,5,5,5,5,5,5,5,10,10,1,5,5,5,1,1,1,
1,1,1,1],[1,1,150,10,5,15,75,1,6,12,12,10,50,50,5,75,75,1,30,6,30,12,60,12,60,
30,60,60,10,50,50,10,25,1,6,15,15,30,30,60,60,5,50,6,10,10,10,5,15,15,30,25,6,
6,6,10,10,10,5,6,6,6,1,5,10,6,5,5,1,1],[1,125,1,30,5,10,10,100,25,25,50,50,
125,125,500,6,5,5,10,10,20,5,5,20,25,25,50,50,1,1,4,5,5,20,1,1],[1,25,1,30,5,
10,10,100,25,30,25,50,50,6,5,5,10,10,20,30,5,10,10,25,1,1,4,1,5,1,1],[1,125,1,
30,5,10,10,100,25,125,125,125,250,250,6,5,5,10,10,20,5,25,25,25,50,50,1,1,4,1,
5,1,1],[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,
25,150,25,375,1,30,25,125,125,25,30,30,150,150,125,25,75,150,6,25,25,25,6,30,
30,25,30,1,1,6,1,3,1,1,1,1],[1,25,25,75,1,30,25,25,30,25,25,30,75,6,25,30,25,
30,1,1,1,3,1,1],[1,25,150,125,75,375,1,30,25,375,375,25,30,30,150,150,125,25,
150,30,75,75,150,6,25,75,75,150,6,30,30,25,30,30,30,1,30,1,6,1,3,3,1,3,3,1],[
1,25,125,1,30,5,10,10,100,25,30,25,50,50,25,50,125,6,5,5,10,10,20,30,5,10,10,
25,5,25,50,1,1,4,1,5,5,5,1,1,1],[1,25,125,1,30,5,10,10,100,25,30,25,50,50,25,
150,125,6,5,5,10,10,20,30,5,10,10,25,30,25,25,1,1,4,1,5,1,5,1,1,1],[1,25,250,
625,1,30,5,10,10,100,25,30,25,25,50,50,50,50,50,125,250,250,250,250,500,125,
125,250,250,250,6,5,5,10,10,20,5,10,30,5,10,10,20,25,25,25,50,25,50,50,50,50,
25,25,50,50,50,1,1,4,1,1,10,5,5,20,5,5,1,1,1,1,1],[1,25,100,75,1,30,100,25,25,
30,100,30,75,25,6,100,25,30,30,25,1,1,4,3,4,1,1],[1,25,150,25,125,75,375,1,30,
25,125,125,375,25,30,30,150,150,25,125,125,25,25,150,30,75,75,150,125,6,25,25,
25,75,150,6,30,30,25,25,25,30,30,30,25,1,30,1,6,1,1,3,3,1,1,1,3,1,1,1,1],[1,
25,250,125,125,625,1,30,5,10,10,100,625,25,30,25,25,50,50,50,50,50,125,250,
250,250,250,500,25,150,25,50,125,125,125,250,125,250,250,6,5,5,10,10,20,125,
250,125,5,10,30,5,10,10,20,25,25,25,50,25,50,50,50,50,5,30,25,25,25,25,25,50,
50,50,50,1,1,4,25,25,50,1,1,10,5,5,20,1,5,5,5,5,5,1,5,5,1,1,1,1,1,1,1],[1,25,
150,100,125,75,375,1,30,100,25,375,375,25,30,30,150,150,500,100,125,25,150,30,
75,75,150,25,6,100,25,75,75,150,125,6,30,30,100,25,30,30,30,25,1,30,25,1,6,4,
1,3,3,4,1,3,3,4,1,1,1],[1,25,250,375,1,30,30,60,60,600,250,125,25,30,150,300,
300,250,250,150,150,375,125,6,30,30,60,60,120,250,125,30,30,60,60,150,250,30,
150,150,25,125,1,6,24,1,30,10,15,30,25,6,10,5,6,10,6,5,1],[1,25,750,250,125,
375,1875,1,30,30,60,60,600,250,1250,1250,125,1875,1875,25,30,150,150,150,300,
300,300,300,750,750,750,1500,1500,3000,250,1250,1250,250,625,25,150,150,150,
375,375,750,750,750,1500,1500,125,1250,6,30,30,60,60,120,250,250,250,125,375,
375,750,750,625,30,30,30,30,60,60,120,150,150,150,150,150,300,300,300,300,250,
250,250,125,30,30,150,150,150,150,150,150,150,300,300,25,125,250,1,6,24,150,
150,150,125,125,1,6,30,30,30,120,10,1,15,15,30,30,30,25,6,10,10,10,5,15,15,30,
25,6,6,6,10,10,10,5,6,6,6,5,10,6,5,1,1]],
[1,2,2,3,4,4,4,5,5,5,5,5,5,6,6,6,8,8,8,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,12,12,12,15,16,20,20,20,20,20,20,20,20,20,20,20,24,24,25,25,25,25,25,25,
30,30,30,40,40,40,40,40,48,50,50,50,50,50,50,50,50,50,50,50,50,50,50,50,50,60,
60,60,80,100,100,100,100,100,100,100,100,100,100,100,120,120,120,125,125,125,
200,200,200,240,240,250,250,250,250,250,250,375,500,500,500,500,500,500,600,
625,750,750,750,1000,1000,1000,1000,1200,1250,1250,1250,1500,1500,1500,2000,
2500,2500,2500,3000,3000,5000,6000,15000,30000],
[148,132,65,101,108,87,39,148,131,131,120,120,74,101,52,52,109,39,39,132,131,
106,105,107,94,97,94,98,66,65,65,49,50,34,101,52,52,101,67,132,106,105,107,87,
87,66,65,66,49,50,109,52,145,131,131,120,120,115,101,101,101,109,87,87,65,66,
67,131,129,131,131,120,120,115,106,105,105,107,106,98,97,98,97,101,101,101,
109,131,131,106,105,105,106,105,107,107,97,98,132,109,101,148,145,133,105,106,
107,108,109,148,145,129,131,131,115,144,148,139,139,131,131,131,132,145,144,
144,144,146,139,139,131,132,145,145,145,144,144,144,146,145,145,145,146,144,
145,146,148,148],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,2,1,2,1,9,10,1,8,1,12,1,11,10,1,9,12,11,13,4,
1,4,1,2,8,9,10,9,8,1,10,9,1,12,11,17,4,1,1,1,1,1,1,38,1,38,2,8,20,9,10,17,55,
53,9,9,9,9,58,10,1,55,8,54,57,56,11,12,8,38,4,20,54,53,9,8,10,54,55,9,53,56,
57,99,17,38,8,1,8,55,54,53,99,62,102,103,53,55,9,58,102,102,102,102,103,53,54,
99,53,102,116,116,110,102,110,103,123,124,102,103,102,116,116,110,124,102,124,
128,116,124,128,147,147],
[(  1, 41, 58,129, 63)(  2,  6, 67, 86, 24)(  3,107, 14,132, 94)
(  4,127,135, 84, 92)(  5, 19, 74, 29, 46)(  7,142,130, 87,104)
(  9,108, 40, 64, 80)( 10,136, 72, 52, 43)( 11,150,112,125,134)
( 12,105,133,113,109)( 15, 83, 34, 47, 20)( 17,146, 53, 61, 79)
( 18, 50,131,103,100)( 21, 39, 23, 25,141)( 22, 99, 27, 70, 44)
( 30,138, 82,140,143)( 31,151, 81, 49, 73)( 32,147,102,120,153)
( 33,106,121, 65, 35)( 36,144,101,156, 55)( 37,128, 51, 56, 48)
( 38, 95,152, 91,114)( 59,148,115, 93, 78)( 60,111, 97,110,118)
( 62, 77, 71,126,149),(  1,121,116,100, 58, 57, 33, 38,154, 71,149,117)
(  2,  6,  8,112, 17,144, 72, 30, 59, 54, 98, 10)(  3,122, 83, 42, 74,120, 86,
 56, 25,148,136,130)(  4, 68,  7, 89, 27,133, 36,115, 20, 81, 82, 47)
(  5, 60, 28, 31, 48, 46, 94,107, 53,123,139,108)(  9,151, 13, 69,138, 22,156,
 96,146,150,110, 92)( 11, 32, 51, 84,113, 80, 90, 21, 85,111, 39, 70)
( 14,118, 19, 26, 78, 93, 44, 64,127,125, 66, 16)( 15,141)( 18, 77, 95,126,
 103,131,114,152,129,106, 63, 65)( 23, 52,155,105, 75, 67,142, 97, 49, 87, 61,
 40)( 24,140, 43,128,119,137,135,101, 99, 88, 37, 73)( 29, 79,109,134,132,153,
 143,124,102, 45, 55, 34)( 35, 62, 41)( 50, 76, 91)(104,147)],
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13,30,32,49],[1,2,3,4,10,13,22,32,33,50],[1,2,3,4,10,14,24,34,35,51],[1,2,3,4,
10,13,25,30,33,52],[1,2,8,11,27,53],[1,2,3,4,10,12,26,28,31,54],[1,2,3,4,10,
11,23,27,29,55],[1,3,9,13,33,56],[1,2,8,14,24,57],[1,3,9,12,31,58],[1,2,3,4,5,
6,7,10,17,19,37,59],[1,2,3,4,5,9,10,16,17,18,20,38,39,40,60],[1,11,13,61],[1,
12,13,62],[1,11,12,13,63],[1,11,14,64],[1,11,15,65],[1,2,5,12,16,28,41,66],[1,
4,5,12,18,26,41,67],[1,3,5,12,17,31,41,68],[1,2,3,4,9,10,13,20,22,32,33,50,56,
69],[1,2,3,4,8,10,13,21,22,32,33,45,50,70],[1,2,3,4,6,7,10,13,19,22,25,30,32,
33,46,48,49,50,52,71],[1,2,3,4,8,10,11,21,23,27,29,44,53,55,72],[1,2,3,4,9,10,
12,20,26,28,31,47,54,58,73],[1,2,3,4,8,10,14,21,24,34,35,43,51,57,74],[1,2,3,
4,5,6,7,8,9,10,17,19,20,21,37,39,42,59,75],[1,4,11,12,13,26,29,30,63,76],[1,2,
11,12,13,22,25,63,77],[1,3,11,13,23,33,61,78],[1,2,11,13,22,27,61,79],[1,4,11,
14,29,35,64,80],[1,2,12,13,22,28,62,81],[1,3,12,13,31,33,62,82],[1,3,11,12,13,
23,31,33,63,83],[1,2,11,12,13,25,27,28,63,84],[1,4,11,15,29,36,65,85],[1,2,11,
14,24,27,64,86],[1,4,11,13,29,32,61,87],[1,4,12,13,26,32,62,88],[1,3,11,14,23,
34,64,89],[1,4,11,12,13,30,32,63,90],[1,4,5,7,14,18,35,37,91],[1,3,5,9,12,17,
31,38,41,47,68,92],[1,2,3,4,5,10,12,16,17,18,26,28,31,40,41,54,66,67,68,93],[
1,3,5,9,12,17,31,39,41,58,68,94],[1,4,5,7,15,18,36,37,95],[1,5,12,13,62,96],[
1,2,3,4,6,7,8,9,10,13,19,20,21,22,25,30,32,33,42,45,46,48,49,50,52,56,69,70,
71,97],[1,2,4,6,11,12,13,22,25,26,29,30,46,63,76,77,98],[1,2,8,11,13,22,27,44,
45,61,79,99],[1,3,9,12,13,31,33,56,58,62,82,100],[1,4,7,11,12,13,26,29,30,32,
49,63,76,90,101],[1,2,3,4,10,11,12,13,23,25,26,27,28,29,30,31,33,52,54,55,63,
76,83,84,102],[1,3,9,12,13,31,33,47,56,62,82,103],[1,2,8,11,14,24,27,43,53,64,
86,104],[1,2,8,11,12,13,25,27,28,44,53,63,84,105],[1,2,8,11,13,22,27,45,53,61,
79,106],[1,2,4,6,11,12,13,22,25,27,28,30,32,46,48,63,77,84,90,107],[1,2,8,11,
14,24,27,44,57,64,86,108],[1,2,3,4,10,11,14,23,24,27,29,34,35,51,55,64,80,86,
89,109],[1,2,3,4,10,12,13,22,26,28,31,32,33,50,54,62,81,82,88,110],[1,2,3,4,
10,11,12,13,22,23,25,30,31,32,33,50,52,63,77,83,90,111],[1,2,3,4,10,11,13,22,
23,27,29,32,33,50,55,61,78,79,87,112],[1,3,9,11,12,13,23,31,33,47,58,63,83,
113],[1,2,3,4,5,6,7,10,14,16,17,18,19,24,34,35,37,40,51,59,91,114],[1,2,3,4,5,
9,10,12,16,17,18,20,26,28,31,38,39,40,41,47,54,58,60,66,67,68,73,92,93,94,
115],[1,11,12,13,61,62,63,116],[1,11,13,14,61,64,117],[1,11,13,15,61,65,118],[
1,2,5,12,13,16,22,28,62,81,96,119],[1,4,5,12,13,18,26,32,62,88,96,120],[1,3,5,
12,13,17,31,33,62,82,96,121],[1,2,3,4,8,10,11,12,13,21,23,25,26,27,28,29,30,
31,33,44,52,53,54,55,63,72,76,83,84,102,105,122],[1,2,3,4,6,7,10,11,12,13,19,
22,23,25,26,27,28,29,30,31,32,33,46,48,49,50,52,54,55,63,71,76,77,83,84,90,98,
101,102,107,111,123],[1,2,3,4,9,10,11,12,13,20,23,25,26,27,28,29,30,31,33,47,
52,54,55,58,63,73,76,83,84,102,113,124],[1,2,3,4,8,10,11,13,21,22,23,27,29,32,
33,44,45,50,53,55,61,70,72,78,79,87,99,106,112,125],[1,2,3,4,8,10,11,14,21,23,
24,27,29,34,35,43,44,51,53,55,57,64,72,74,80,86,89,104,108,109,126],[1,2,3,4,
9,10,12,13,20,22,26,28,31,32,33,47,50,54,56,58,62,69,73,81,82,88,100,103,110,
127],[1,2,3,4,5,6,7,8,9,10,14,16,17,18,19,20,21,24,34,35,37,38,39,40,42,43,51,
57,59,60,74,75,91,114,128],[1,3,11,12,13,23,31,33,61,62,63,78,82,83,116,129],[
1,2,11,13,14,22,24,27,61,64,79,86,117,130],[1,2,11,12,13,22,25,27,28,61,62,63,
77,79,81,84,116,131],[1,4,11,12,13,26,29,30,32,61,62,63,76,87,88,90,116,132],[
1,3,11,13,14,23,33,34,61,64,78,89,117,133],[1,4,11,13,14,29,32,35,61,64,80,87,
117,134],[1,4,11,13,15,29,32,36,61,65,85,87,118,135],[1,3,5,9,12,13,17,31,33,
39,47,56,62,82,96,103,121,136],[1,2,3,4,5,10,12,13,16,17,18,22,26,28,31,32,33,
40,50,54,62,81,82,88,96,110,119,120,121,137],[1,3,5,9,12,13,17,31,33,38,56,58,
62,82,96,100,121,138],[1,5,11,12,13,41,61,62,63,96,116,139],[1,2,3,4,6,7,8,9,
10,11,12,13,19,20,21,22,23,25,26,27,28,29,30,31,32,33,42,44,46,47,48,49,50,52,
53,54,55,58,63,71,72,73,76,77,83,84,90,98,101,102,105,107,111,113,122,123,124,
140],[1,4,7,11,12,13,26,29,30,32,49,61,62,63,76,87,88,90,101,116,132,141],[1,
2,8,11,13,14,22,24,27,44,45,57,61,64,79,86,99,108,117,130,142],[1,3,9,11,12,
13,23,31,33,47,56,58,61,62,63,78,82,83,100,103,113,116,129,143],[1,2,4,6,11,
12,13,22,25,26,27,28,29,30,32,46,48,61,62,63,76,77,79,81,84,87,88,90,98,107,
116,131,132,144],[1,2,3,4,10,11,12,13,22,23,25,26,27,28,29,30,31,32,33,50,52,
54,55,61,62,63,76,77,78,79,81,82,83,84,87,88,90,102,110,111,112,116,129,131,
132,145],[1,2,8,11,12,13,22,25,27,28,44,45,53,61,62,63,77,79,81,84,99,105,106,
116,131,146],[1,2,3,4,10,11,13,14,22,23,24,27,29,32,33,34,35,50,51,55,61,64,
78,79,80,86,87,89,109,112,117,130,133,134,147],[1,2,8,11,13,14,22,24,27,43,45,
53,61,64,79,86,104,106,117,130,148],[1,2,3,4,5,9,10,12,13,16,17,18,20,22,26,
28,31,32,33,38,39,40,47,50,54,56,58,60,62,69,73,81,82,88,96,100,103,110,119,
120,121,127,136,137,138,149],[1,11,12,13,14,15,61,62,63,64,65,116,117,118,
150],[1,4,5,11,12,13,18,26,29,30,32,41,61,62,63,67,76,87,88,90,96,116,120,132,
139,151],[1,3,5,11,12,13,17,23,31,33,41,61,62,63,68,78,82,83,96,116,121,129,
139,152],[1,2,5,11,12,13,16,22,25,27,28,41,61,62,63,66,77,79,81,84,96,116,119,
131,139,153],[1,2,3,4,6,7,10,11,12,13,19,22,23,25,26,27,28,29,30,31,32,33,46,
48,49,50,52,54,55,61,62,63,71,76,77,78,79,81,82,83,84,87,88,90,98,101,102,107,
110,111,112,116,123,129,131,132,141,144,145,154],[1,2,3,4,8,10,11,12,13,21,22,
23,25,26,27,28,29,30,31,32,33,44,45,50,52,53,54,55,61,62,63,70,72,76,77,78,79,
81,82,83,84,87,88,90,99,102,105,106,110,111,112,116,122,125,129,131,132,145,
146,155],[1,2,3,4,9,10,11,12,13,20,22,23,25,26,27,28,29,30,31,32,33,47,50,52,
54,55,56,58,61,62,63,69,73,76,77,78,79,81,82,83,84,87,88,90,100,102,103,110,
111,112,113,116,124,127,129,131,132,143,145,156],[1,2,3,4,8,10,11,13,14,21,22,
23,24,27,29,32,33,34,35,43,44,45,50,51,53,55,57,61,64,70,72,74,78,79,80,86,87,
89,99,104,106,108,109,112,117,125,126,130,133,134,142,147,148,157],[1,2,11,12,
13,14,15,22,24,25,27,28,61,62,63,64,65,77,79,81,84,86,116,117,118,130,131,150,
158],[1,4,11,12,13,14,15,26,29,30,32,35,36,61,62,63,64,65,76,80,85,87,88,90,
116,117,118,132,134,135,150,159],[1,3,11,12,13,14,15,23,31,33,34,61,62,63,64,
65,78,82,83,89,116,117,118,129,133,150,160],[1,4,5,7,11,12,13,26,29,30,32,37,
41,49,61,62,63,76,87,88,90,96,101,116,132,139,141,161],[1,3,5,9,11,12,13,17,
23,31,33,39,41,47,56,58,61,62,63,68,78,82,83,94,96,100,103,113,116,121,129,
136,139,143,152,162],[1,3,5,9,11,12,13,17,23,31,33,38,41,47,56,58,61,62,63,68,
78,82,83,92,96,100,103,113,116,121,129,138,139,143,152,163],[1,2,3,4,5,10,11,
12,13,16,17,18,22,23,25,26,27,28,29,30,31,32,33,40,41,50,52,54,55,61,62,63,66,
67,68,76,77,78,79,81,82,83,84,87,88,90,93,96,102,110,111,112,116,119,120,121,
129,131,132,137,139,145,151,152,153,164],[1,2,3,4,6,7,8,9,10,11,12,13,19,20,
21,22,23,25,26,27,28,29,30,31,32,33,42,44,45,46,47,48,49,50,52,53,54,55,56,58,
61,62,63,69,70,71,72,73,76,77,78,79,81,82,83,84,87,88,90,97,98,99,100,101,102,
103,105,106,107,110,111,112,113,116,122,123,124,125,127,129,131,132,140,141,
143,144,145,146,154,155,156,165],[1,2,8,11,12,13,14,15,22,24,25,27,28,44,45,
53,57,61,62,63,64,65,77,79,81,84,86,99,105,106,108,116,117,118,130,131,142,
146,150,158,166],[1,2,8,11,12,13,14,15,22,24,25,27,28,43,44,45,53,61,62,63,64,
65,77,79,81,84,86,99,104,105,106,116,117,118,130,131,146,148,150,158,167],[1,
2,3,4,10,11,12,13,14,15,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,50,51,52,
54,55,61,62,63,64,65,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,102,109,110,
111,112,116,117,118,129,130,131,132,133,134,135,145,147,150,158,159,160,168],[
1,2,3,4,5,6,7,10,11,12,13,17,19,22,23,25,26,27,28,29,30,31,32,33,37,41,46,48,
49,50,52,54,55,59,61,62,63,68,71,76,77,78,79,81,82,83,84,87,88,90,96,98,101,
102,107,110,111,112,116,121,123,129,131,132,139,141,144,145,152,154,161,169],[
1,2,3,4,5,9,10,11,12,13,16,17,18,20,22,23,25,26,27,28,29,30,31,32,33,38,39,40,
41,47,50,52,54,55,56,58,60,61,62,63,66,67,68,69,73,76,77,78,79,81,82,83,84,87,
88,90,92,93,94,96,100,102,103,110,111,112,113,115,116,119,120,121,124,127,129,
131,132,136,137,138,139,143,145,149,151,152,153,156,162,163,164,170],[1,2,3,4,
8,10,11,12,13,14,15,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,43,44,45,
50,51,52,53,54,55,57,61,62,63,64,65,70,72,74,76,77,78,79,80,81,82,83,84,85,86,
87,88,89,90,99,102,104,105,106,108,109,110,111,112,116,117,118,122,125,126,
129,130,131,132,133,134,135,142,145,146,147,148,150,155,157,158,159,160,166,
167,168,171],[1,2,3,4,5,6,7,8,9,10,11,12,13,17,19,20,21,22,23,25,26,27,28,29,
30,31,32,33,37,39,41,42,44,45,46,47,48,49,50,52,53,54,55,56,58,59,61,62,63,68,
69,70,71,72,73,75,76,77,78,79,81,82,83,84,87,88,90,94,96,97,98,99,100,101,102,
103,105,106,107,110,111,112,113,116,121,122,123,124,125,127,129,131,132,136,
139,140,141,143,144,145,146,152,154,155,156,161,162,165,169,172],[1,4,5,7,11,
12,13,14,15,18,26,29,30,32,35,36,37,41,49,61,62,63,64,65,67,76,80,85,87,88,90,
91,95,96,101,116,117,118,120,132,134,135,139,141,150,151,159,161,173],[1,2,3,
4,5,6,7,10,11,12,13,14,15,16,17,18,19,22,23,24,25,26,27,28,29,30,31,32,33,34,
35,36,37,40,41,46,48,49,50,51,52,54,55,59,61,62,63,64,65,66,67,68,71,76,77,78,
79,80,81,82,83,84,85,86,87,88,89,90,91,93,95,96,98,101,102,107,109,110,111,
112,114,116,117,118,119,120,121,123,129,130,131,132,133,134,135,137,139,141,
144,145,147,150,151,152,153,154,158,159,160,161,164,168,169,173,174],[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]],
0,[[1],[1,1],[1,1],[1,1],[1,1],[1,2,1,1],[1,3,1],[1,1,1],[1,1,1],[1,1,1,1,1],[
1,1],[1,1],[1,1],[1,1],[1,1],[1,3,1,1],[1,1,1,1],[1,3,1,1],[1,3,1,3,3,1,3,1],[
1,1,1,1,2,1,1],[1,1,1,1,2,1,1],[1,5,1,1],[1,5,1,1],[1,5,1,1],[1,1,1,1],[1,5,1,
1],[1,1,1,1],[1,1,1,1],[1,5,1,1],[1,5,1,1],[1,5,1,1],[1,1,1,1],[1,5,1,1],[1,1,
1,1],[1,5,1,1],[1,5,1,1],[1,3,4,1,1],[1,1,1,1,1,1],[1,1,1,3,1,1],[1,3,1,3,1,3,
1,1,1,1],[1,1,1,1],[1,3,1,3,3,1,2,2,3,1,1,1,1],[1,5,5,1,1,1],[1,1,5,1,1,1],[1,
5,5,1,1,1],[1,6,5,5,1,1,1,1,1],[1,5,5,1,1,1],[1,2,1,1,1,2,1,1],[1,11,5,1,2,1,
1],[1,5,5,1,5,1,1,1,1,1],[1,5,1,5,5,1,1,1,1,1],[1,1,5,5,5,1,1,1,1,1],[1,1,1,1,
1,1],[1,1,5,5,5,1,1,1,1,1],[1,1,5,5,5,1,1,1,1,1],[1,5,5,1,1,1],[1,5,5,1,1,1],[
1,5,5,1,1,1],[1,3,1,3,4,3,1,3,4,1,1,1],[1,3,1,3,1,4,3,1,1,1,3,1,1,1,1],[1,1,5,
1],[1,3,3,1],[1,2,2,2,1],[1,1,5,1],[1,1,5,1],[1,3,1,1,1,3,1,1],[1,15,1,1,5,3,
1,1],[1,5,1,1,5,1,1,1],[1,5,5,1,10,5,1,5,1,1,1,1,2,1],[1,5,5,1,10,5,1,5,1,1,1,
2,1,1],[1,7,5,11,11,5,15,1,5,1,2,2,1,1,2,1,1,1,2,1],[1,1,5,5,6,5,1,5,1,1,1,1,
1,1,1],[1,1,5,5,10,5,1,5,1,1,1,1,1,1,1],[1,5,1,5,10,5,1,5,1,1,1,1,1,1,1],[1,3,
1,3,4,3,1,6,6,3,4,1,3,3,1,4,3,1,1],[1,25,2,2,2,10,10,10,1,1],[1,5,2,2,2,1,5,1,
1],[1,25,1,5,5,25,1,1],[1,5,1,5,1,5,1,1],[1,25,1,5,5,25,1,1],[1,5,3,3,1,5,1,
1],[1,25,3,3,15,15,1,1],[1,25,2,2,2,10,10,10,1,1],[1,1,2,2,2,2,2,2,1,1],[1,25,
1,5,5,25,1,1],[1,5,1,5,1,5,1,1],[1,5,1,5,1,5,1,1],[1,5,3,3,1,5,1,1],[1,5,1,5,
1,5,1,1],[1,5,2,2,2,1,5,1,1],[1,15,10,5,6,10,6,5,1],[1,5,1,5,1,5,1,5,1,1,1,
1],[1,3,5,15,1,15,1,1,5,5,3,3,1,5,1,3,1,1,1,1],[1,5,1,15,1,5,1,5,1,3,1,1],[1,
15,10,5,6,10,6,5,1],[1,25,3,3,1,1],[1,7,5,11,11,5,10,10,15,1,5,5,5,1,2,2,1,1,
5,2,2,1,1,1,2,2,1,1,1,1],[1,10,25,25,2,2,2,2,10,10,10,10,10,1,1,2,1],[1,5,25,
1,5,1,5,5,5,1,1,1],[1,25,25,3,3,15,15,15,15,1,1,1],[1,35,25,2,2,2,10,10,12,10,
10,1,1,2,1],[1,1,25,25,25,2,2,2,10,2,10,2,2,10,10,10,10,10,10,10,1,1,1,1,1],[
1,25,25,3,3,15,15,5,5,1,1,1],[1,5,5,1,5,1,5,1,5,1,1,1],[1,1,5,2,2,2,2,2,2,1,5,
1,1,1],[1,5,5,1,5,1,5,1,5,1,1,1],[1,6,5,5,2,2,2,1,7,2,2,1,5,1,5,1,1,1,1,1],[1,
5,25,1,5,1,5,5,5,1,1,1],[1,5,5,25,25,1,5,1,1,5,5,5,25,5,5,1,1,1,1,1],[1,5,25,
5,25,3,3,1,1,5,15,5,15,5,5,1,1,1,1,1],[1,5,25,5,25,2,2,2,1,10,5,1,10,5,10,5,5,
1,1,1,1,1],[1,5,25,5,25,1,5,1,5,5,1,5,25,5,5,1,1,1,1,1],[1,25,25,2,2,2,10,10,
10,5,5,1,1,1],[1,15,1,15,10,15,5,15,6,10,10,10,5,6,6,6,5,10,6,5,1,1],[1,3,5,
15,1,20,15,1,1,5,5,15,3,3,1,5,5,5,1,1,3,3,5,1,1,1,3,1,1,1,1],[1,6,10,15,6,10,
15,1],[1,1,5,25,1,5,1],[1,1,5,25,1,5,1],[1,15,25,3,3,25,3,15,1,3,1,1],[1,15,
25,3,3,25,3,15,1,3,1,1],[1,25,25,3,3,25,15,15,1,1,1,1],[1,1,25,25,10,25,2,2,2,
25,10,2,10,2,2,10,10,10,10,2,10,10,10,10,1,10,1,1,1,1,2,1],[1,11,25,35,35,25,
75,2,2,2,25,2,10,12,10,2,2,10,12,10,10,10,12,10,10,10,20,10,10,1,10,1,2,1,1,2,
1,1,1,2,2,1],[1,1,25,25,50,25,2,2,2,25,10,2,10,2,2,10,10,10,10,10,10,10,10,10,
1,10,1,1,1,1,2,1],[1,5,25,5,30,25,1,5,25,1,5,5,1,5,25,5,6,5,5,5,1,5,5,1,1,1,1,
1,1,1],[1,5,5,25,30,25,1,5,25,1,1,5,5,5,25,1,5,5,5,5,5,1,5,5,1,1,1,1,1,1,1],[
1,5,25,5,50,25,3,3,25,1,1,5,15,5,15,5,5,5,20,15,1,5,5,1,1,1,1,1,1,1],[1,15,1,
15,10,15,5,30,10,15,6,10,10,10,5,15,15,6,6,6,5,10,10,10,15,6,6,6,5,10,6,5,1,1,
1],[1,125,6,10,15,150,250,375,6,10,15,30,50,75,1,1],[1,25,1,5,25,5,25,25,1,5,
5,25,1,1],[1,5,6,10,15,1,10,10,10,6,10,15,2,2,2,5,1,1],[1,25,6,10,15,10,10,10,
25,6,10,15,1,10,10,10,1,1],[1,25,1,5,25,5,25,25,1,5,1,5,1,1],[1,25,1,5,25,5,
25,25,1,5,1,5,1,1],[1,25,1,5,25,5,25,25,1,5,1,5,1,1],[1,25,25,75,3,3,25,15,15,
25,15,15,1,1,1,3,1,1],[1,15,25,15,25,75,3,3,25,25,25,3,3,15,15,15,15,25,15,15,
1,3,1,3,1,3,1,1,1,1],[1,25,25,25,3,3,25,15,15,25,15,15,1,1,1,1,1,1],[1,25,6,
10,15,25,6,10,15,1,1,1],[1,11,25,35,35,25,10,50,75,2,2,2,25,25,25,2,10,12,10,
2,2,10,12,10,10,10,25,2,12,10,10,10,10,20,10,10,10,10,1,10,10,10,1,2,1,1,2,1,
1,1,2,2,2,2,1,1,1,1],[1,75,125,6,10,15,30,30,30,75,75,6,10,15,3,30,30,30,15,1,
3,1],[1,25,125,1,5,25,5,25,25,25,25,125,1,5,5,25,5,25,1,1,1],[1,125,125,6,10,
15,150,250,375,25,75,75,6,10,15,30,50,75,5,15,15,1,1,1],[1,10,25,25,6,10,15,2,
20,10,20,20,10,10,25,10,25,6,10,15,1,4,4,4,10,10,10,10,1,10,1,2,1,1],[1,5,125,
25,125,6,10,15,1,150,10,10,10,10,10,10,250,25,375,25,50,50,50,6,10,15,1,2,30,
2,2,50,75,5,10,10,10,5,10,10,10,1,1,1,1,1],[1,5,25,6,10,15,1,10,10,10,5,5,25,
6,10,15,2,2,2,5,1,5,5,1,1,1],[1,25,25,25,125,1,5,25,5,5,25,25,5,25,25,25,25,
25,25,25,1,5,1,5,1,25,5,5,5,5,1,1,1,1,1],[1,25,25,1,5,25,5,25,25,5,5,25,1,5,5,
25,5,5,1,1,1],[1,15,25,15,25,100,75,3,3,25,25,25,75,3,3,15,15,15,15,25,25,25,
15,15,15,30,15,25,1,15,15,3,1,3,1,1,3,3,1,1,1,3,1,1,1,1],[1,6,10,15,25,100,6,
10,15,5,20,1,1,4,1],[1,75,25,6,10,15,125,30,30,30,75,25,6,10,15,25,3,30,30,30,
1,1,5,3,1,1],[1,125,25,6,10,15,125,150,250,375,25,6,10,15,25,30,50,75,1,1,5,1,
1,1],[1,15,25,6,10,15,25,3,30,30,30,25,6,10,15,25,6,6,6,15,1,1,1,3,1,1],[1,15,
125,75,75,125,375,6,10,15,125,3,150,30,30,30,30,30,30,250,75,375,30,75,75,75,
150,150,150,6,10,15,75,3,6,30,6,6,50,75,15,30,30,30,3,15,15,30,30,30,30,1,15,
1,3,3,1,3,3,1],[1,5,125,25,50,125,6,10,15,125,1,150,10,10,10,10,10,10,250,25,
375,10,10,25,50,50,50,50,6,10,15,25,50,1,2,30,2,2,50,75,5,10,10,10,2,5,10,10,
10,10,10,1,5,10,1,1,1,1,2,1],[1,5,125,25,250,125,6,10,15,125,1,150,10,10,10,
10,10,10,250,25,375,50,25,50,50,50,150,150,6,10,15,25,50,1,2,30,2,2,50,75,5,
10,10,10,10,5,30,10,10,10,30,1,5,10,1,1,1,2,1,1],[1,25,25,25,150,125,1,5,25,
125,5,5,25,25,5,25,25,25,25,5,25,30,25,25,25,25,125,1,5,25,25,25,1,5,1,25,5,5,
5,5,5,25,5,5,1,5,5,1,1,1,1,1,1,1],[1,25,6,10,15,25,100,5,25,50,50,50,6,10,15,
5,20,10,10,10,25,25,1,1,4,1,5,1,1],[1,125,6,10,15,25,100,50,50,50,125,125,500,
6,10,15,5,20,5,5,20,50,50,50,1,1,4,5,5,20,1,1],[1,125,6,10,15,25,100,150,250,
375,125,6,10,15,5,20,30,50,75,25,1,1,4,1,5,1,1],[1,75,100,125,6,10,15,30,30,
30,75,125,100,75,6,10,15,3,30,30,30,4,15,1,3,4,1,1],[1,125,25,375,6,10,15,125,
150,250,375,125,25,75,225,225,6,10,15,25,30,50,75,25,1,15,45,45,1,5,1,5,1,3,1,
1],[1,125,25,125,6,10,15,125,150,250,375,125,25,25,75,75,6,10,15,25,30,50,75,
25,1,5,15,15,1,5,1,5,1,1,1,1],[1,15,125,75,25,375,6,10,15,25,125,125,3,150,30,
30,30,30,30,30,250,75,375,125,25,75,150,150,150,6,10,15,25,25,25,3,6,30,6,6,
50,75,15,30,30,30,25,1,15,30,30,30,1,1,5,5,1,3,3,5,1,3,1,1,1,1],[1,15,125,75,
75,125,50,250,375,6,10,15,125,125,125,3,150,30,30,30,30,30,30,250,75,375,125,
10,10,30,50,75,75,75,150,50,150,150,150,150,6,10,15,25,25,75,50,50,3,6,30,6,6,
50,75,15,30,30,30,25,3,2,10,15,15,30,10,10,30,30,30,30,30,1,5,15,5,10,10,1,3,
3,5,1,2,3,3,2,1,1,1,1],[1,25,125,6,10,15,25,100,5,25,50,50,50,25,25,125,125,6,
10,15,5,20,10,10,10,25,25,5,25,25,25,1,1,4,1,5,1,5,1,1,1],[1,25,125,6,10,15,
25,100,5,25,50,50,50,25,25,25,125,6,10,15,5,20,10,10,10,25,25,5,25,25,25,1,1,
4,1,5,5,5,1,1,1],[1,25,125,125,625,6,10,15,25,100,5,150,25,50,50,50,50,50,50,
250,125,375,125,125,500,125,125,250,250,250,6,10,15,5,20,5,10,30,10,5,10,50,
75,25,20,25,50,50,25,50,25,25,50,50,50,1,1,4,1,1,5,5,5,5,20,5,5,1,1,1,1,1],[1,
15,125,75,100,75,125,375,6,10,15,500,125,3,150,30,30,30,30,30,30,250,75,375,
125,100,30,75,75,75,150,150,150,125,6,10,15,100,75,3,6,30,6,6,50,75,15,30,30,
30,4,3,15,15,30,30,30,30,1,20,15,1,3,3,4,1,3,3,4,1,1,1],[1,15,125,75,25,500,
375,6,10,15,25,125,125,375,3,150,30,30,30,30,30,30,250,75,375,125,125,125,25,
100,75,150,150,150,300,300,125,6,10,15,25,25,25,75,150,3,6,30,6,6,50,75,15,30,
30,30,25,25,25,1,20,15,60,30,30,30,60,25,1,1,5,5,15,30,1,3,3,5,5,5,1,4,3,5,1,
1,1,3,1,1,1,1],[1,25,125,125,250,625,6,10,15,25,100,625,5,150,25,50,50,50,50,
50,50,250,125,375,125,125,500,25,50,50,125,125,250,250,250,250,125,6,10,15,5,
20,125,250,125,5,10,30,10,5,10,50,75,25,20,25,50,50,25,50,10,25,25,50,50,25,
25,50,50,50,1,1,4,25,50,25,1,1,5,5,5,5,20,1,5,10,5,5,1,5,5,1,1,1,1,1,1,1],[1,
15,125,75,100,75,125,150,750,375,6,10,15,500,125,375,375,3,150,30,30,30,30,30,
30,250,75,375,125,500,100,375,30,30,30,150,75,75,75,150,150,150,150,450,450,
125,6,10,15,100,75,75,75,150,150,125,3,6,30,6,6,50,75,15,30,30,30,100,4,75,3,
6,30,15,15,90,30,30,30,30,30,30,90,1,20,15,15,15,30,30,1,3,3,20,4,15,1,6,3,3,
6,4,1,3,3,1,4,3,1,1],[1,375,250,625,6,10,15,150,600,1250,150,150,150,375,750,
3000,625,250,375,6,10,15,30,120,250,15,30,120,150,150,150,125,500,10,75,1,6,
24,50,15,30,120,10,5,6,10,6,5,1],[1,75,125,375,250,375,625,1875,6,10,15,150,
600,250,1250,1250,625,15,150,150,150,150,150,150,150,150,250,375,375,750,750,
3000,625,1250,250,150,375,375,375,750,750,750,750,625,6,10,15,30,120,250,250,
250,375,15,30,30,30,30,30,50,75,75,120,150,150,150,150,150,125,250,500,10,15,
75,75,150,150,150,150,150,125,1,6,24,10,50,50,75,1,6,15,15,30,30,120,50,10,5,
15,15,30,6,10,10,10,5,6,6,6,5,10,6,5,1,1],[1,75,125,375,250,375,625,750,1250,
1875,6,10,15,150,600,250,1250,1250,625,1875,1875,15,150,150,150,150,150,150,
150,150,250,375,375,750,750,3000,625,1250,1250,1250,250,1875,150,150,150,150,
250,375,375,375,750,750,750,750,750,750,750,750,625,1250,6,10,15,30,120,250,
250,250,375,375,375,750,750,750,625,15,30,30,30,30,30,50,75,75,120,150,150,
150,150,150,125,250,250,250,500,10,375,15,30,50,75,75,150,150,150,150,150,150,
150,150,150,150,150,125,250,1,6,24,10,50,50,75,75,75,150,150,150,125,1,6,15,
15,30,30,120,50,50,50,10,75,5,6,10,15,15,30,30,30,50,6,10,10,10,5,15,15,30,6,
6,6,5,10,10,10,15,6,6,6,5,10,6,5,1,1,1]],
[1,2,2,2,3,4,4,4,4,4,5,5,5,5,5,6,6,6,8,8,8,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,12,12,12,12,15,16,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,
24,24,25,25,25,25,25,30,30,30,40,40,40,40,40,40,48,50,50,50,50,50,50,50,50,50,
50,50,50,50,50,50,60,60,60,60,60,75,80,100,100,100,100,100,100,100,100,100,
100,100,100,100,100,100,100,120,120,125,125,125,150,150,150,200,200,200,200,
200,200,240,250,250,250,250,250,250,250,300,300,300,375,400,500,500,500,500,
500,500,500,500,600,625,750,750,750,1000,1000,1000,1000,1250,1250,1250,1500,
1500,1500,1500,2000,2500,2500,2500,3000,3000,5000,6000,7500,15000,30000],
[175,140,128,97,115,97,75,72,60,42,171,170,165,126,85,115,60,60,75,42,42,165,
126,126,123,127,122,124,125,123,115,97,97,74,74,36,75,60,60,60,115,42,126,122,
125,123,115,97,97,97,74,71,72,73,72,69,74,73,75,60,171,170,165,157,135,115,
115,115,97,97,97,72,73,74,75,165,154,157,155,157,156,149,140,140,135,126,125,
127,126,123,128,115,115,115,95,170,97,165,155,149,140,140,127,126,122,125,123,
126,126,127,123,125,124,128,115,175,171,159,170,149,149,140,140,140,125,126,
127,128,175,171,165,165,157,157,135,149,149,149,170,140,172,171,170,165,165,
155,157,157,149,171,170,170,170,172,165,165,157,171,171,171,172,170,170,170,
165,171,171,171,172,170,171,172,175,175,175],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,5,1,5,1,1,1,13,11,14,1,12,1,1,11,13,12,1,13,1,
14,15,7,1,5,5,1,4,14,11,13,13,12,1,13,13,14,13,1,12,11,13,14,12,7,5,1,1,1,1,1,
5,41,12,13,13,13,11,12,14,37,63,13,61,13,64,13,62,63,1,65,14,11,12,11,13,91,
12,41,41,95,62,32,63,61,62,63,63,62,14,11,13,13,64,64,62,63,61,63,91,41,1,11,
11,96,96,62,63,63,63,61,64,62,91,116,117,13,63,61,64,65,96,96,62,62,76,116,
117,116,63,116,61,117,117,96,61,139,116,96,116,116,116,117,117,150,116,141,
139,116,139,132,117,150,150,141,139,150,161,173,173,173],
[(  1,102, 71, 14)(  2, 84, 77, 26)(  3, 22, 86, 41)(  4, 87, 85, 28)
(  5, 34, 38, 17)(  6,133, 44, 40)(  7, 67,139, 37)(  8, 11, 93,109)
(  9, 50, 35,122)( 10, 78, 27, 16)( 13,148, 92, 42)( 15, 19, 29, 82)
( 18, 32, 90, 99)( 20,123,140, 88)( 21,112, 31,108)( 23,115, 63, 66)
( 24, 70, 39, 81)( 25, 76,120,130)( 30, 46,114, 79)( 43, 51,149,147)
( 45,117, 97, 59)( 47,143, 95, 61)( 48, 52, 49,141)( 53, 68,152, 57)
( 54,144,142, 64)( 55,137,105,135)( 56,156,136,150)( 58, 60,128,119)
( 62,110,151, 96)( 65,153,101,126)( 69, 74)( 72,116,132,127)( 73,131, 94,155)
( 89,124,104,103)( 91,146)( 98,100,111,145)(106,118,125,154)(107,113,129,121),
(  1, 68, 11, 39, 36, 49, 81,152,141, 58,116,112)(  2, 12,  8, 98, 47, 31, 22,
 139,122,126, 61, 16)(  3,108, 33,100,130, 29,106,133, 96, 77, 35, 19)
(  4,117, 20, 87, 50, 80, 94, 44,123, 92, 45, 66)(  5, 17, 75, 34, 38,138)
(  6, 10, 23, 25, 78, 53, 76,149,132,104,109, 88)(  7, 43, 55, 91, 59, 14,151,
 40, 60, 82,103, 73)(  9,120, 32, 97, 21, 30, 51, 48, 18, 27,124, 83)
( 13, 57, 26,150,115, 65, 56, 74,153,121, 72, 41)( 15, 70, 42, 62,102,107, 95,
 144,142, 37,113, 28)( 24,131,114,129, 85,134,156, 64, 79,119,135, 90)
( 46,111,101, 99,154, 86)( 52,143,136, 93,110,148,147,146,155, 89, 67,128)
( 54, 84, 69, 71,118, 63,137,125,140,105,145,127)],
[[[[]]],[[[1,-2]]],[[[1,1,2,1,1,-2,2,1,1,1]]],[[[2,1,1,-1,2,2]]],[[[2,4]]],[[[
2,1,1,-1,2,1],[3,1,1,-2,3,-1]],[[1,1,2,1],[3,1,1,-2,3,-1]]],[[[1,-2],[3,1,2,1,
1,-1,2,2,3,1]],[[2,2,1,-1,2,1]]],[[[1,-1]]],[[[1,-2,2,1]]],[[[1,-2],[3,1,1,1,
2,1,3,1,2,1,1,-1]],[[1,-2],[3,1,2,-1,3,1,2,1,3,1]]],[[[1,-2],[2,1,1,1],[1,1,2,
2,1,-1,2,1,3,1,2,1,4,-1,3,1,4,1]]],[[[1,1,2,1],[2,2,1,-1,3,2,1,-2,2,-1,3,
-1]]],[[[1,-2,2,-2,1,-2,2,-2]]],[[[2,1,1,-1,2,1,1,-1]]],[[[1,1,2,1]]],[[[1,
-2],[2,2],[3,1,4,-1,3,1,4,1]],[[1,-2]]],[[[2,2]]],[[[1,-2,2,-1,1,1,2,-1,1,1,2,
2]],[[2,1,1,-1,2,1,1,-2,2,-1,1,-1,2,-1]]],[[[1,-2],[3,1,1,1,2,-2,3,1,2,2,1,
1]],[[2,1,1,1,2,1],[3,1,1,-2,3,-1]],[[1,-2],[3,1,1,1,2,1,3,1,2,1,1,-1]]],[[[1,
-2],[1,1,2,1],[4,1,3,1,2,1,4,1,3,1]],[[1,-2],[3,1,2,1,3,1,2,-1,3,1]]],[[[1,
-2],[3,1,2,2,3,1,2,1,1,-1,2,1]],[[2,2,1,-1,2,-2]]],[[[1,1,2,2],[3,1,1,-2,3,
-1]],[[1,1,2,-1],[3,1,1,-2,3,-1]]],[[[2,1,1,-1,2,1,1,-2,2,1,1,-1,2,-1]],[[1,
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33,34,37,66],[1,2,5,8,10,29,32,35,67],[1,2,5,10,11,15,30,36,68],[1,2,5,8,10,
11,12,30,31,32,35,69],[1,2,3,4,5,9,10,12,13,14,15,16,31,36,37,38,39,70],[1,2,
3,4,5,8,9,10,13,14,15,16,32,36,37,71],[1,5,6,7,24,25,40,72],[1,5,6,7,25,26,40,
73],[1,2,6,7,20,21,40,74],[1,3,6,7,22,27,40,75],[1,4,6,7,23,28,40,76],[1,2,8,
17,41,77],[1,2,3,4,9,18,43,44,45,78],[1,2,8,17,41,79],[1,2,5,10,17,41,50,80],[
1,2,3,4,9,18,43,47,49,81],[1,2,5,10,18,43,48,51,82],[1,5,15,19,46,83],[1,5,15,
19,46,84],[1,3,5,14,18,45,47,51,85],[1,3,4,5,16,18,45,48,49,86],[1,2,5,10,19,
42,46,52,87],[1,4,5,13,18,44,49,51,88],[1,3,4,5,16,18,44,47,48,89],[1,2,6,8,
20,29,90],[1,2,6,8,20,29,58,91],[1,2,7,8,21,29,92],[1,3,4,5,7,11,14,16,28,33,
55,93],[1,2,5,7,10,12,21,31,57,94],[1,2,5,7,10,11,21,30,55,95],[1,4,5,7,12,13,
15,23,39,57,96],[1,3,4,5,7,11,13,16,27,34,55,97],[1,2,5,6,8,10,20,25,32,53,56,
58,98],[1,2,5,6,8,10,20,25,35,56,58,99],[1,3,5,7,12,14,15,22,38,57,100],[1,2,
3,4,5,7,9,10,13,14,16,21,22,23,24,26,27,28,37,54,59,60,61,62,63,64,101],[1,17,
18,19,102],[1,2,6,17,20,41,65,103],[1,5,6,17,25,50,65,104],[1,5,6,17,25,50,65,
105],[1,2,5,8,10,11,12,29,30,31,32,35,67,69,106],[1,2,3,4,5,8,9,10,11,12,13,
14,15,16,30,31,32,33,34,35,36,37,38,39,66,68,69,70,71,107],[1,2,5,8,10,11,12,
15,30,31,32,35,36,68,69,108],[1,3,5,6,7,14,22,25,26,27,40,61,73,75,109],[1,4,
5,6,7,13,23,25,26,28,40,64,73,76,110],[1,2,5,6,7,10,20,21,24,25,26,40,56,60,
72,73,74,111],[1,2,3,4,6,7,9,20,21,22,23,27,28,40,54,59,74,75,76,112],[1,3,4,
5,6,7,16,22,23,24,25,27,28,40,62,63,72,75,76,113],[1,2,6,7,8,20,21,40,53,58,
74,114],[1,5,6,7,15,24,25,40,72,115],[1,2,8,17,29,41,79,116],[1,2,5,8,10,17,
35,41,50,79,80,117],[1,2,5,8,10,17,32,41,50,77,79,80,118],[1,2,3,4,5,9,10,13,
14,16,18,37,43,44,45,47,48,49,51,78,81,82,85,86,88,89,119],[1,2,5,10,15,19,36,
42,46,52,83,84,87,120],[1,2,5,6,8,10,20,25,29,32,35,53,56,58,67,91,98,99,
121],[1,2,5,6,8,10,20,29,32,35,58,67,90,122],[1,2,3,4,5,7,9,10,11,13,14,16,21,
27,28,30,33,34,37,55,59,66,93,95,97,123],[1,2,3,4,5,7,9,10,12,13,14,15,16,21,
22,23,31,36,37,38,39,54,57,70,94,96,100,124],[1,2,17,18,19,41,42,43,102,125],[
1,5,17,18,19,46,48,50,102,126],[1,5,17,18,19,50,51,52,102,127],[1,3,17,18,19,
45,47,102,128],[1,4,17,18,19,44,49,102,129],[1,5,7,11,18,24,48,55,130],[1,5,7,
12,19,26,46,57,131],[1,2,5,6,10,17,20,25,41,50,56,65,80,103,104,105,132],[1,2,
6,8,17,20,41,58,65,77,103,133],[1,2,6,8,17,20,41,53,65,79,103,134],[1,2,3,4,5,
8,9,10,11,12,13,14,15,16,29,30,31,32,33,34,35,36,37,38,39,66,67,68,69,70,71,
106,107,108,135],[1,2,3,4,5,6,7,9,10,13,14,16,20,21,22,23,24,25,26,27,28,37,
40,54,56,59,60,61,62,63,64,72,73,74,75,76,101,109,110,111,112,113,136],[1,2,5,
6,7,10,15,20,21,24,25,26,36,40,56,60,72,73,74,111,115,137],[1,2,5,6,7,8,10,20,
21,24,25,26,32,40,53,56,58,60,72,73,74,98,111,114,138],[1,2,6,7,8,20,21,29,40,
58,74,90,91,92,139],[1,2,5,8,10,17,29,32,35,41,50,67,77,79,80,116,117,118,
140],[1,2,5,7,8,10,11,12,21,29,30,31,32,35,57,67,69,92,94,106,141],[1,2,5,7,8,
10,11,12,21,29,30,31,32,35,55,67,69,92,95,106,142],[1,2,5,6,8,10,11,12,20,29,
30,31,32,35,58,67,69,90,91,106,122,143],[1,4,5,13,17,18,19,44,49,50,51,52,88,
102,127,129,144],[1,3,5,14,17,18,19,45,47,50,51,52,85,102,127,128,145],[1,2,5,
10,17,18,19,41,42,43,46,48,50,51,52,80,82,87,102,125,126,127,146],[1,2,3,4,9,
17,18,19,41,42,43,44,45,47,49,78,81,102,125,128,129,147],[1,2,8,17,18,19,41,
42,43,77,79,102,125,148],[1,5,15,17,18,19,46,48,50,83,84,102,126,149],[1,3,4,
5,16,17,18,19,44,45,46,47,48,49,50,86,89,102,126,128,129,150],[1,2,6,8,17,20,
29,41,53,77,90,151],[1,3,5,7,12,14,15,19,22,26,27,38,46,57,61,83,100,131,
152],[1,2,6,8,17,20,29,41,65,79,90,103,116,153],[1,2,5,7,10,12,19,21,24,26,31,
42,46,52,57,60,87,94,131,154],[1,2,5,7,10,11,18,21,24,26,30,43,48,51,55,60,82,
95,130,155],[1,3,4,5,7,11,13,16,18,23,24,27,34,44,47,48,55,62,89,97,130,156],[
1,3,4,5,7,11,14,16,18,22,24,28,33,45,48,49,55,63,86,93,130,157],[1,4,5,7,12,
13,15,19,23,26,28,39,46,57,64,84,96,131,158],[1,2,5,6,8,10,17,20,25,32,41,50,
53,56,58,65,77,79,80,98,103,104,105,118,132,133,134,159],[1,2,5,6,7,8,10,20,
21,25,29,32,35,40,53,56,58,67,74,90,91,92,98,99,114,121,122,139,160],[1,2,3,4,
5,6,7,8,9,10,13,14,15,16,20,21,22,23,24,25,26,27,28,32,36,37,40,53,54,56,58,
59,60,61,62,63,64,71,72,73,74,75,76,98,101,109,110,111,112,113,114,115,136,
137,138,161],[1,2,3,4,5,7,8,9,10,11,12,13,14,15,16,21,22,23,29,30,31,32,33,34,
35,36,37,38,39,54,57,66,67,68,69,70,71,92,94,96,100,106,107,108,124,135,141,
162],[1,2,3,4,5,7,8,9,10,11,12,13,14,15,16,21,27,28,29,30,31,32,33,34,35,36,
37,38,39,55,59,66,67,68,69,70,71,92,93,95,97,106,107,108,123,135,142,163],[1,
2,5,8,10,17,18,19,32,41,42,43,46,48,50,51,52,77,79,80,82,87,102,118,125,126,
127,146,148,164],[1,2,5,10,15,17,18,19,36,41,42,43,46,48,50,51,52,80,82,83,84,
87,102,120,125,126,127,146,149,165],[1,2,3,4,5,9,10,13,14,16,17,18,19,37,41,
42,43,44,45,46,47,48,49,50,51,52,78,80,81,82,85,86,87,88,89,102,119,125,126,
127,128,129,144,145,146,147,150,166],[1,2,5,6,8,10,17,20,25,29,32,35,41,50,53,
56,58,67,77,79,80,90,98,118,122,151,167],[1,2,5,6,8,10,17,20,29,32,35,41,50,
58,65,67,77,79,80,90,103,116,117,118,122,133,140,153,168],[1,2,3,4,5,7,9,10,
12,13,14,15,16,19,21,22,23,24,26,27,28,31,36,37,38,39,42,46,52,54,57,59,60,61,
62,63,64,70,83,84,87,94,96,100,101,120,124,131,152,154,158,169],[1,2,3,4,5,7,
9,10,11,13,14,16,18,21,22,23,24,26,27,28,30,33,34,37,43,44,45,47,48,49,51,54,
55,59,60,61,62,63,64,66,78,81,82,85,86,88,89,93,95,97,101,119,123,130,155,156,
157,170],[1,2,5,6,7,8,10,11,12,20,21,29,30,31,32,35,40,55,57,58,67,69,74,90,
91,92,94,95,106,122,139,141,142,143,171],[1,2,6,7,8,17,20,21,29,40,41,53,58,
65,74,77,90,91,92,103,114,133,139,151,172],[1,2,3,4,5,8,9,10,13,14,15,16,17,
18,19,32,36,37,41,42,43,44,45,46,47,48,49,50,51,52,71,77,78,79,80,81,82,83,84,
85,86,87,88,89,102,118,119,120,125,126,127,128,129,144,145,146,147,148,149,
150,164,165,166,173],[1,2,5,6,8,10,11,12,17,20,25,29,30,31,32,35,41,50,53,56,
58,67,69,77,79,80,90,91,98,99,106,116,117,118,121,122,140,143,151,167,174],[1,
2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,20,21,22,23,27,28,29,30,31,32,33,34,35,
36,37,38,39,40,54,55,57,58,59,66,67,68,69,70,71,74,75,76,90,91,92,93,94,95,96,
97,100,106,107,108,112,122,123,124,135,139,141,142,143,162,163,171,175],[1,2,
6,8,17,18,19,20,29,41,42,43,53,65,77,79,90,102,103,116,125,134,148,151,153,
176],[1,2,5,6,7,8,10,17,20,21,24,25,26,29,32,35,40,41,50,53,56,58,60,65,67,72,
73,74,77,79,80,90,91,92,98,99,103,104,105,111,114,118,121,122,132,133,134,138,
139,151,159,160,167,172,177],[1,2,5,6,8,10,17,18,19,20,25,29,32,35,41,42,43,
46,48,50,51,52,53,56,58,65,67,77,79,80,82,87,90,98,102,103,104,105,116,117,
118,122,125,126,127,132,133,134,140,146,148,151,153,159,164,167,168,176,178],[
1,2,5,6,7,8,10,11,12,17,20,21,25,29,30,31,32,35,40,41,50,53,55,56,57,58,65,67,
69,74,77,79,80,90,91,92,94,95,98,99,103,106,114,116,117,118,121,122,133,139,
140,141,142,143,151,153,160,167,168,171,172,174,179],[1,2,5,6,7,8,10,11,12,17,
18,19,20,21,24,25,26,29,30,31,32,35,40,41,42,43,46,48,50,51,52,53,55,56,57,58,
60,65,67,69,72,73,74,77,79,80,82,87,90,91,92,94,95,98,99,102,103,104,105,106,
111,114,116,117,118,121,122,125,126,127,130,131,132,133,134,138,139,140,141,
142,143,146,148,151,153,154,155,159,160,164,167,168,171,172,174,176,177,178,
179,180],[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]],
0,[[1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1,1],[1,1,1,1,1],[1,1,2,1],[1,3,
1],[1,3,1],[1,2,1,1],[1,2,1,1],[1,1,1],[1,1,1,1,1],[1,1],[1,1],[1,1],[1,1,1,
1],[1,1,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,1,1,1],[1,1,
1,1],[1,1,3,1],[1,1,6,3,4,1],[1,1,6,3,4,1],[1,1,2,2,1,1],[1,3,1,3,1,3,3,1],[1,
1,3,3,1,3,3,1],[1,1,4,1,2,1],[1,1,2,1,2,1],[1,1,2,2,2,2,1,1,1,2,1],[1,2,3,1,1,
1,1],[1,2,3,1,1,1,1],[1,2,2,1],[1,1,1,1],[1,1,1,1],[1,1,1,1],[1,5,1,1],[1,5,1,
1],[1,5,1,1],[1,1,1,1],[1,5,1,1],[1,1,1,1],[1,5,1,1],[1,5,1,1],[1,5,1,1],[1,1,
1,3,1,1],[1,1,3,3,1,3,1,1,1,1],[1,3,4,1,1],[1,1,6,1,3,1,2,1],[1,3,4,1,1],[1,1,
1,1,1,1],[1,1,1,1,1,1,1,1,1,1],[1,1,6,1,3,1,1,1,1],[1,4,3,1,3,1,1,1,1],[1,1,3,
3,1,3,1,1,1,1],[1,3,1,3,1,3,1,1,1,1],[1,4,3,1,3,1,1,1,1],[1,1,1,1],[1,1,4,4,6,
4,3,4,6,6,12,1,4,4,6,1],[1,1,6,4,3,1,3,3,1],[1,1,6,3,4,4,1,2,1],[1,1,10,2,5,4,
4,1,1,1,4,1],[1,1,2,2,6,2,3,4,1,1,2,2,1,1,1,2,2,1],[1,1,2,2,2,2,2,1,1,1,2,2,1,
1,1,1],[1,9,2,2,6,6,1,1],[1,9,2,2,6,6,1,1],[1,1,2,2,2,2,1,1],[1,3,2,2,1,3,1,
1],[1,3,2,2,1,3,1,1],[1,1,5,1,1,1],[1,1,5,5,5,1,1,1,1,1],[1,1,1,1,1,1],[1,1,
10,5,1,1,2,1],[1,1,1,1,1,1,1,1,1,1],[1,1,10,5,1,1,1,1,1],[1,5,5,1,1,1],[1,5,5,
1,1,1],[1,6,5,5,1,1,1,1,1],[1,5,1,5,5,1,1,1,1,1],[1,1,10,5,1,1,1,1,1],[1,6,5,
5,1,1,1,1,1],[1,1,5,5,5,1,1,1,1,1],[1,1,4,3,4,1,1],[1,1,1,3,1,1,3,1],[1,1,4,3,
4,1,1],[1,3,1,3,4,1,3,3,4,1,1,1],[1,1,6,4,3,4,4,1,1,1],[1,1,6,4,3,4,4,1,1,1],[
1,6,3,4,1,3,3,4,3,1,1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,1,6,1,4,3,1,2,3,1,1,1,1],[
1,1,12,1,1,6,1,4,3,2,1,1],[1,6,3,4,1,3,3,4,3,1,1],[1,1,4,4,6,1,4,3,3,3,6,1,1,
1,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,2,2,2,1],[1,1,1,1,1,1,1,1],[1,15,1,1,5,3,1,
1],[1,15,1,1,5,3,1,1],[1,1,18,6,9,12,12,2,3,3,9,18,6,9,1],[1,1,4,4,10,2,4,5,4,
4,6,6,4,12,1,1,1,4,4,4,2,6,4,4,1,1,1,2,2,1],[1,1,10,2,5,4,4,8,1,1,1,4,4,2,1,
1],[1,6,9,2,2,9,2,6,6,6,1,6,1,2,1],[1,6,9,2,2,9,2,6,6,6,1,6,1,2,1],[1,1,18,2,
2,9,2,2,6,12,6,1,6,6,1,1,1,1],[1,1,3,3,2,2,3,2,2,1,1,3,3,1,1,3,1,1,1,1],[1,3,
3,9,2,2,9,1,1,6,6,3,3,1,3,3,1,1,1,1],[1,1,2,2,3,2,2,1,1,3,1,1],[1,9,2,2,9,6,6,
1,1,1],[1,1,3,1,1,1,3,1],[1,1,20,1,10,1,5,1,4,1,2,1],[1,1,10,6,5,1,5,1,2,1,1,
1,1],[1,1,6,6,10,6,5,5,5,10,1,5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,10,5,10,1,
5,1,1,1,1,1,1,1],[1,1,18,1,6,9,1,6,1,9,9,1,3,3,3,1,3,3,1],[1,1,6,4,4,3,4,1,3,
3,4,1,1,1],[1,1,4,4,6,4,4,3,4,6,6,12,4,4,4,1,4,4,6,1,4,1,1,1,1,1],[1,1,6,6,6,
4,6,3,4,3,3,6,6,4,4,4,1,3,3,6,6,4,1,3,1,1,1,1],[1,1,2,2,2,2,2,2,1,1],[1,25,2,
2,2,10,10,10,1,1],[1,25,2,2,2,10,10,10,1,1],[1,5,2,2,2,1,5,1,1],[1,5,2,2,2,1,
5,1,1],[1,15,10,5,6,10,6,5,1],[1,15,10,5,6,10,6,5,1],[1,1,30,1,15,1,1,10,1,6,
5,1,3,1,1,1,1],[1,1,1,5,1,1,1,5,1,1,1,1],[1,1,1,3,1,1,1,1,1,3,1,1],[1,1,4,4,
18,6,4,9,12,12,6,6,12,12,2,3,3,9,4,4,18,6,6,12,12,1,6,3,9,6,6,1,3,3,1],[1,1,6,
6,18,2,2,6,9,9,9,18,2,2,2,2,6,12,6,6,6,9,1,2,6,6,6,6,6,6,6,1,1,1,2,2,6,1,1,1,
2,2,1],[1,1,18,2,2,9,18,2,2,6,12,6,9,1,6,6,1,1,1,1,2,1],[1,1,18,2,2,6,9,2,2,6,
12,6,9,1,2,6,6,6,1,1,1,6,1,2,1],[1,1,5,8,3,5,8,1,4,3,4,1,1,2,1],[1,1,30,8,15,
1,1,15,15,1,6,5,1,3,3,1,3,3,1],[1,1,18,16,6,9,12,12,16,2,3,3,9,18,12,6,9,8,12,
1,1],[1,1,18,16,6,9,12,12,16,2,3,3,9,18,12,6,9,8,12,1,1],[1,1,18,4,6,9,12,12,
4,2,3,3,9,18,12,6,9,1,4,1,3,1],[1,10,25,25,2,2,2,2,10,10,10,10,10,1,1,2,1],[1,
10,25,25,2,2,2,2,10,10,10,10,10,1,1,2,1],[1,1,50,25,2,2,2,2,2,2,10,10,20,10,
10,10,10,10,1,1,1,1,1],[1,1,5,5,5,2,2,2,2,2,2,1,1,5,5,1,5,1,1,1,1,1],[1,1,5,2,
2,2,2,2,2,1,5,1,1,1],[1,25,25,2,2,2,10,10,10,5,5,1,1,1],[1,5,5,25,25,2,2,2,1,
1,10,5,10,5,10,5,5,1,1,1,1,1],[1,1,10,15,6,10,5,6,10,6,5,1],[1,10,15,10,5,15,
15,6,10,10,10,15,6,5,10,6,5,1,1],[1,1,4,3,1,4,1,1,4,3,1,4,1,1],[1,1,30,10,15,
20,6,10,10,10,5,6,6,6,5,10,6,5,1,1],[1,1,30,10,15,20,6,10,10,10,5,6,6,6,5,10,
6,5,1,1],[1,1,15,15,10,5,15,15,6,10,10,10,5,6,6,6,5,10,6,5,1,1],[1,15,1,15,10,
5,15,15,6,10,10,10,5,6,6,6,5,10,6,5,1,1],[1,10,15,10,5,15,15,6,10,10,10,15,6,
5,10,6,5,1,1],[1,1,30,1,8,15,1,1,10,15,1,6,1,5,5,1,1,3,3,5,1,1,1,3,1,1,1,1],[
1,1,18,5,8,6,9,5,8,6,1,9,9,4,1,3,15,3,4,1,1,2,3,3,4,1,3,1,1],[1,1,6,6,18,2,2,
6,6,9,9,9,18,18,2,2,2,2,6,12,6,6,6,9,9,9,1,2,2,6,6,6,6,6,6,6,6,9,1,1,1,2,2,6,
6,1,1,1,2,2,2,2,1,1,1,1],[1,1,12,12,18,16,6,12,9,12,12,18,18,36,36,16,16,16,2,
3,3,9,12,12,18,18,18,36,36,16,12,3,6,9,9,18,18,8,12,12,12,1,9,9,12,3,1,1],[1,
1,4,4,18,16,6,4,9,12,12,6,6,12,12,16,16,16,2,3,3,9,4,4,18,6,6,12,12,12,16,1,6,
3,9,6,6,8,4,12,4,1,3,3,4,1,1,1],[1,1,50,10,25,2,2,2,25,2,2,2,10,10,20,10,10,2,
10,10,10,10,1,10,1,1,1,1,2,1],[1,1,50,25,50,2,2,2,25,2,2,2,10,10,20,10,10,10,
10,10,10,10,1,10,1,1,1,1,2,1],[1,1,10,10,50,10,25,25,25,50,2,2,2,25,2,2,2,2,2,
10,10,10,10,20,10,10,2,10,10,10,10,10,10,10,10,1,10,1,1,1,2,2,1,1,1,2,2,1],[1,
1,30,10,16,15,6,10,20,5,15,15,6,12,10,10,10,5,6,6,6,5,10,6,5,1,1],[1,1,30,4,8,
15,1,4,1,15,15,1,6,20,4,5,1,3,3,1,4,1,3,3,5,4,1,1,1],[1,1,10,10,30,10,10,15,
20,15,15,30,30,6,10,10,10,10,10,10,10,5,15,15,30,30,6,6,6,10,5,10,10,10,10,10,
10,15,6,6,6,5,5,5,10,6,5,1,1,1,1,1],[1,1,16,16,30,10,16,15,20,30,30,60,6,10,
10,10,10,10,10,10,5,20,20,30,6,6,6,6,6,6,6,10,5,10,10,10,10,10,10,5,6,6,6,6,6,
6,6,5,5,5,10,6,5,1,1,1,1,1],[1,1,18,8,32,6,9,12,12,8,32,2,3,3,9,18,16,12,12,
24,6,9,16,2,8,16,12,12,1,6,8,1,1,2,1],[1,1,11,20,15,6,11,20,5,10,6,10,15,6,10,
6,5,5,10,6,10,6,5,1,1],[1,1,10,10,50,10,10,25,25,25,50,50,2,2,2,25,25,25,2,2,
2,2,2,10,10,10,10,20,10,10,25,2,2,10,10,10,10,10,10,10,10,10,10,10,1,10,10,10,
1,1,1,2,2,1,1,1,2,2,2,2,1,1,1,1],[1,1,90,10,18,45,60,60,6,10,60,6,15,15,45,90,
6,36,10,30,30,30,45,6,18,18,5,10,30,30,5,6,18,18,10,15,6,5,1,3,1],[1,1,12,12,
18,8,32,6,12,9,12,12,18,18,36,36,8,32,16,16,48,48,2,3,3,9,12,12,18,18,18,36,
36,16,16,12,12,24,48,3,6,9,9,18,18,16,16,16,2,8,16,12,12,12,12,12,12,1,9,9,16,
6,12,12,3,8,1,1,2,1,3,1,1],[1,1,10,15,7,12,12,10,5,7,12,12,10,10,6,15,5,6,10,
5,6,10,6,1,5,1],[1,1,90,11,20,18,45,6,11,20,60,90,60,5,45,45,10,6,36,11,45,45,
60,6,15,10,10,10,6,18,18,5,5,10,45,15,6,6,6,10,20,18,5,15,6,6,6,10,5,1,6,5,3,
1,1],[1,1,150,10,20,75,7,12,12,10,100,5,75,75,7,12,12,60,60,90,60,60,10,50,50,
10,25,7,45,45,60,60,5,50,6,10,10,10,5,15,45,25,6,6,6,10,10,10,5,6,12,1,5,10,6,
5,5,1,1],[1,1,90,14,80,18,45,60,60,6,14,80,60,6,15,15,45,90,40,6,36,10,60,30,
60,90,24,30,45,40,6,18,18,6,30,60,60,60,30,30,24,5,40,6,18,18,10,30,24,30,6,5,
5,10,1,6,10,3,6,5,4,1,1],[1,1,450,20,200,30,225,300,300,12,72,72,20,200,600,
600,600,10,75,75,225,450,100,12,72,72,360,360,360,360,360,20,300,300,300,300,
600,120,150,225,100,100,100,12,180,180,360,360,10,100,200,300,300,300,300,36,
120,120,120,25,100,200,60,180,180,100,150,36,36,36,60,60,120,120,120,100,100,
60,25,25,50,36,72,2,60,60,60,120,100,36,30,60,25,20,10,12,20,12,10,1],[1,1,60,
60,450,20,200,30,60,225,300,300,450,450,900,900,12,72,72,20,200,200,200,600,
600,600,600,600,10,75,75,225,300,300,450,450,450,900,900,100,12,72,72,72,72,
360,360,360,360,360,360,360,20,200,300,300,300,300,600,600,600,600,600,600,
120,75,150,225,225,450,450,100,100,100,200,200,12,72,180,180,360,360,360,360,
360,360,360,360,360,10,100,200,300,300,300,300,300,300,300,300,600,36,120,120,
120,25,225,225,100,100,100,200,200,200,200,60,180,180,360,360,100,150,300,300,
36,36,36,72,72,60,60,120,120,120,75,100,100,100,100,60,25,25,50,36,36,36,72,
72,72,72,2,60,60,60,60,60,60,60,120,100,100,25,75,36,36,36,30,60,60,60,25,20,
36,10,25,12,20,12,10,1,1]],
[1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,5,5,5,6,6,6,6,6,6,6,6,6,8,8,8,8,8,8,8,8,8,8,
8,9,10,10,10,10,10,10,10,10,10,10,10,10,12,12,12,12,12,12,12,12,12,12,12,12,
15,16,16,16,16,16,16,18,18,18,18,18,20,20,20,20,20,20,20,20,20,20,20,20,20,24,
24,24,24,24,24,24,24,24,24,24,24,25,30,30,30,32,32,32,36,36,36,36,36,36,36,40,
40,40,40,40,48,48,48,48,50,50,50,50,50,60,60,60,60,60,64,72,72,72,72,80,96,96,
96,100,100,100,100,100,100,100,120,120,120,120,120,120,120,120,120,144,144,
192,192,200,200,200,240,240,240,240,288,360,400,480,576,600,720,1200,1440,
7200,14400],
[181,181,170,170,107,177,136,174,170,135,123,124,107,107,70,66,178,166,165,
177,136,136,136,101,98,101,101,101,179,163,162,135,123,123,106,107,107,70,70,
161,178,165,166,166,166,120,119,119,119,118,119,120,177,136,123,121,124,121,
101,101,101,101,101,101,159,163,143,135,135,107,107,161,161,161,136,136,178,
166,140,140,119,119,120,120,119,119,120,119,119,179,160,139,123,124,123,124,
123,121,121,124,101,173,159,159,159,175,135,135,161,161,161,136,136,138,137,
168,140,140,119,120,160,143,123,124,173,173,173,166,166,170,169,159,159,159,
163,161,161,161,160,168,175,175,171,173,173,173,166,164,165,166,180,169,168,
169,170,170,170,169,159,160,161,175,163,173,173,173,174,168,169,170,175,177,
173,179,175,178,177,178,179,181,181],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,7,7,7,6,7,1,1,2,1,1,1,1,1,2,1,1,5,
5,1,1,1,1,18,18,19,1,18,1,17,18,19,6,7,11,6,12,1,1,7,7,7,7,7,1,1,2,2,2,5,5,40,
40,1,7,7,17,18,1,17,1,18,19,19,18,18,19,18,18,29,2,29,11,12,11,57,11,6,20,57,
7,1,1,65,65,2,10,10,40,40,40,7,40,6,40,2,41,17,18,19,20,29,11,57,1,102,102,18,
18,130,131,65,17,6,30,40,40,40,29,41,106,106,29,102,102,102,18,17,102,102,151,
131,29,131,130,130,130,131,65,91,73,141,106,102,102,102,151,116,131,130,106,
151,127,151,141,151,172,176,174,180,180],
[(  1, 54)(  2, 60)(  3, 48)(  4, 21)(  5, 33)(  6, 12)(  7, 40)(  8, 37)
(  9, 95)( 10, 97)( 11, 13)( 14, 17)( 15,115)( 16, 24)( 18, 56)( 19,119)
( 20,125)( 22, 26)( 25, 74)( 28,141)( 29, 84)( 30, 86)( 31, 49)( 32, 85)
( 34,146)( 35, 42)( 36, 76)( 38, 98)( 39,106)( 41, 71)( 43,105)( 44,130)
( 45, 53)( 47, 51)( 50, 61)( 52, 62)( 55,128)( 57, 73)( 58,110)( 59,103)
( 63,109)( 65,135)( 66,142)( 67, 77)( 68,143)( 69,113)( 70, 80)( 72,140)
( 75,111)( 78,156)( 79,101)( 82,129)( 83,154)( 88,126)( 90,127)( 91,104)
( 93,107)( 94,145)( 96,123)( 99,114)(100,112)(102,138)(108,122)(116,131)
(117,155)(118,120)(124,136)(132,150)(133,147)(134,144)(139,148)(149,153),
(  1,118, 55,124,138,113)(  2, 18,  7, 13, 82, 15)(  3,129, 86, 62, 42,145)
(  4, 11,102, 83,156, 89)(  5, 73,150,130, 85, 80)(  6, 33, 79, 66, 64,110)
(  8, 94, 35, 31, 51,101)(  9, 99,147,109, 77,155)( 10, 28, 57,116, 43,123)
( 12, 95, 91, 65,148,131)( 14,114, 58, 27,142, 26)( 16, 72,122,136, 45, 52)
( 17, 96,132,100, 32, 39)( 19, 61,139,135, 93, 41)( 20, 44,105, 50, 23,134)
( 21,151, 78, 71, 98, 30)( 22, 47, 29, 56, 60, 97)( 24, 38,126, 54,127,128)
( 25, 37, 70)( 34,111, 46, 59,152,103)( 36, 69, 40)( 48, 74,112,141,115,121)
( 49, 53, 90, 76, 84, 81)( 63,144,119,154,108, 67)( 68, 92,146, 75,143, 87)
( 88,107,149)(104,137,117,140,120,153)(106,125,133)],
[[[[]]],[[[1,1,2,1],[2,1,1,1],[2,2],[5,1,3,1,4,1,5,1,3,1,2,1,3,1,4,1]]],[[[2,
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1]]],[[[1,1,2,1],[2,2],[4,1,3,1,4,1,1,1,2,-2,3,-2,2,1,1,1]]],[[[2,-2]]],[[[1,
1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,-1,2,1,4,-1,3,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[
1,1,2,-1,3,1,2,1,3,1,4,-2,3,-2,2,1]],[[1,1,2,-3,1,1]]],[[[1,1,2,1],[3,-2,2,1,
1,1,2,2,3,1]],[[1,1,2,-1,1,1,2,-2,1,1,2,-1]]],[[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,
-1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1]]],[[[1,1,2,1],[3,-2,1,1,2,-1,3,1,2,1,
3,1]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,
1,2,1,3,1,4,-2,3,-2,2,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,1,4,-1,3,1,4,1,
2,-1]]],[[[1,1,2,1],[2,1,3,1,1,1,2,-1,3,-1,2,1,1,1]],[[1,1,2,1],[3,1,1,1,2,-2,
3,-2]]],[[[1,1,2,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,1,4,-2,3,-2,2,1]],[[1,
1,2,1],[2,1,3,1,1,1,2,-1,3,-1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[5,1,4,
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1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1,2,-2]]],[[[1,1,2,1],[2,1,3,1,1,1,2,-1,3,-1,2,
1,1,1]],[[1,1,2,-3,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,1,3,1,4,-2,3,
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1,2,-1,3,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,3,-1,2,-2]]],[[[1,1,2,
1],[3,-2,2,1,1,1,2,2,3,1]],[[1,1,2,-2,1,1,2,2,1,1]]],[[[1,1,2,1],[3,-2,1,1,2,
-1,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,-1,2,1,4,-1,3,1]]],[[[2,1]]],[[[2,2,
1,1],[3,2,2,-1,1,1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[5,1,4,1,2,1,4,1,3,-1,2,1,4,
-1,3,1,4,1,5,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,-1,2,1,4,-1,3,1,4,
1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,1,4,-2,3,-2,2,1]],[[1,1,2,1],[3,1,2,1,
1,1,2,-1,3,-1]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]]],[[[1,1,2,1],[2,1,1,1],[2,
2,3,1,4,1,2,-1,3,-2,4,-1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1]],[[1,1,2,1],[2,
1,1,1],[4,1,3,1,4,-1,2,-1,3,1,2,1,3,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,
1,3,-1,2,1,4,-1,3,1,4,1]],[[1,1,2,1],[2,1,1,1,2,-1],[4,1,3,-2,4,1]]],[[[2,1,1,
1],[3,1,2,-2,1,1,2,2,3,-1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1]],[[1,1,2,1],[2,
1,3,1,1,1,2,-1,3,-1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,-1,2,-1,
3,-1,4,1,2,-1,3,-2]],[[1,1,2,1],[2,1,3,1,1,1,2,-1,3,-1,2,1,1,1]],[[1,1,2,1],[
2,1,1,1],[4,1,3,-1,2,-1,3,-1,4,1,2,-1,3,-2,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[
2,1,4,-1,3,1,4,-1,3,1,4,-1]],[[1,1]]],[[[1,1,2,-1,1,1,2,-2,1,1,2,-1]],[[1,1,2,
1],[3,-2,2,2,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,1,4,-2,3,-2,2,1]],[[1,1,
2,1],[3,1,2,1,1,1,2,-1,3,-1]],[[1,1,2,1],[2,1,3,1,1,1,2,-1,3,-1,2,1,1,1]]],[[[
1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,1,2,1,4,1]],[[1,1,2,1],[2,1,3,1,1,1,2,-1,3,
-1,2,1,1,1]]],[[[1,1,2,1],[1,1,2,-1],[4,1,3,-2,2,1,4,1,3,-2,2,1,1,1]],[[1,1,2,
1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,
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-1]]],[[[2,1,1,1],[2,2],[2,1,3,-1,2,-1,1,1,3,1],[4,1,5,1,4,1,5,1]]],[[[2,1,1,
1,2,1]]],[[[1,1,2,1],[3,-2,2,1],[1,1,2,-1,4,1,1,1,2,-1,4,-1]]],[[[1,1,2,1],[2,
1,1,1],[4,1,3,-1,2,-1,3,-1,4,1,2,-1,3,-2,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,1,
2,1,3,1,4,-2,3,-2,2,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,3,1,1,1,2,-1,3,-1,2,1,1,
1]],[[1,1,2,1],[3,-2,1,1,2,-2,3,1]]],[[[1,1,2,1],[2,1,1,1,2,-1],[4,1,3,-2,4,
1]],[[1,1,2,1],[3,-2,2,1,1,1,2,-2,3,-1]]],[[[1,1,2,1],[2,1,3,1,1,1,2,-2,3,
1]]],[[[1,1,2,1],[3,1,2,2,1,1,2,-1,3,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,
1,3,1,4,-2,3,-1]]],[[[2,1,1,1],[2,1,3,-1,1,1,2,1],[4,2,3,1]]],[[[1,1,2,1],[3,
1,2,2,1,1,2,-1,3,1,2,1,1,1]],[[1,1,2,1],[2,-3,1,1,3,-2,2,1]]],[[[1,1,2,1],[3,
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3,-1,1,1,2,1]]],[[[1,1,2,2,1,1,2,-1]],[[2,2,1,1,2,1]]],[[[1,1,2,1],[2,1,1,1],[
3,-2,2,1,4,1,3,-1,4,1]],[[2,1,1,1,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1]],[[2,1,1,1,2,-1],[3,1,2,-1,1,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,-2,4,1,2,1,
4,-1,3,1]],[[1,1,2,-3,1,1]],[[2,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1,2,-1,3,1,1,
1,3,-1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,
-1]],[[2,2,1,1,2,-1,1,1,2,1]],[[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],[2,1,1,1],[1,1,2,-1,3,1,4,1,2,1,4,1,3,-1]],[[1,1,
2,1],[2,1,1,1],[3,-2,2,1,4,-1,3,1,4,-1]],[[1,1,2,-3,1,1]]],[[[1,1,2,1],[2,1,1,
1,2,-1,3,-1,2,2,3,1]],[[1,1,2,-1,1,1,2,-3]],[[1,1,2,1],[2,-1,3,-2,2,1]]],[[[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,-2]]],[[[1,1,2,1],[2,
1,1,1],[3,-2,2,1,4,1,3,-1,4,1]],[[1,1,2,-3,1,1]],[[2,1,1,1,2,-1]]],[[[1,1,2,
1],[3,1,2,1,1,1,2,-1,3,-1]],[[2,1,1,1,2,1,1,1]],[[1,1,2,1],[2,-1,3,-2,2,
1]]],[[[1,1,2,1],[3,-2,2,1,1,1]],[[2,2],[3,-1,1,1,2,1]]],[[[1,1,2,1],[1,1,2,
-2,3,-2]],[[1,1,2,2,1,1,2,-2]]],[[[2,1,1,1],[2,1,3,1,2,-1,1,1,3,1]],[[2,-1,1,
1,2,1]]],[[[2,-3,1,1,2,-1,1,1]],[[1,1]]],[[[1,1,2,1],[3,-2,2,1,1,1,3,-1]],[[2,
1,1,1,2,1,1,1]],[[2,2]]],[[[2,-1,1,1,2,1]],[[2,2]],[[1,1]]],[[[1,1]],[[2,
1]]]]);


LIBTOM( "2^6:L3(2)",
[[1],[1,2],[1,3],[1,4],[1,5],[1,6],[1,7],[1,8],[1,9],[1,3,10],[1,4,11],[1,2,3,
4,12],[1,2,4,13],[1,3,4,14],[1,2,3,5,15],[1,4,16],[1,2,5,17],[1,3,7,18],[1,3,
19],[1,3,20],[1,3,5,21],[1,3,6,22],[1,4,5,23],[1,5,24],[1,6,25],[1,6,26],[1,7,
27],[1,7,28],[1,4,29],[1,4,5,30],[1,2,8,31],[1,2,4,5,32],[1,4,5,33],[1,3,8,
34],[1,4,7,35],[1,4,6,36],[1,2,6,7,37],[1,3,4,5,38],[1,4,8,39],[1,3,40],[1,4,
6,7,41],[1,4,42],[1,8,43],[1,6,8,44],[1,7,8,45],[1,4,6,8,46],[1,4,8,47],[1,4,
48],[1,6,7,49],[1,6,7,50],[1,4,7,8,51],[1,3,6,7,52],[1,3,8,53],[1,2,7,8,54],[
1,2,6,8,55],[1,6,7,8,56],[1,5,6,8,57],[1,5,7,8,58],[1,7,59],[1,6,60],[1,8,9,
61],[1,3,9,62],[1,5,9,63],[1,6,9,64],[1,2,9,65],[1,8,9,66],[1,7,9,67],[1,68],[
1,3,10,69],[1,2,3,4,11,12,13,70],[1,3,5,10,21,71],[1,2,3,4,10,12,14,72],[1,3,
4,14,16,73],[1,5,24,74],[1,3,5,21,24,75],[1,3,6,22,26,76],[1,3,19,77],[1,3,7,
18,27,78],[1,3,20,79],[1,3,4,14,19,80],[1,3,4,14,20,81],[1,2,3,4,5,12,17,21,
23,82],[1,3,4,7,14,18,35,83],[1,3,4,6,14,22,36,84],[1,3,4,5,14,21,30,85],[1,3,
8,34,43,86],[1,2,4,5,11,30,32,87],[1,2,4,5,13,16,32,88],[1,2,4,5,16,23,32,
89],[1,4,5,11,16,33,90],[1,3,40,91],[1,2,3,4,5,10,12,15,21,38,92],[1,3,4,5,11,
14,23,33,38,93],[1,3,4,14,29,94],[1,3,4,5,10,14,21,38,95],[1,3,7,8,18,34,45,
96],[1,3,6,8,22,34,44,97],[1,2,3,4,12,40,98],[1,2,3,4,6,7,12,18,22,37,41,99],[
1,3,6,7,10,18,22,52,100],[1,3,7,18,19,101],[1,3,8,19,34,102],[1,3,10,40,103],[
1,3,6,20,22,104],[1,2,3,4,8,12,31,34,39,105],[1,3,4,14,40,106],[1,3,19,40,
107],[1,3,8,10,34,53,108],[1,2,3,4,5,12,14,21,32,33,109],[1,3,10,19,20,110],[
1,3,7,18,40,111],[1,2,3,4,5,13,14,15,23,32,112],[1,2,3,4,12,19,20,113],[1,3,8,
20,34,114],[1,3,7,18,19,115],[1,3,4,14,42,116],[1,3,20,40,117],[1,3,6,20,22,
118],[1,3,6,22,40,119],[1,3,4,8,14,34,47,120],[1,2,6,7,28,37,50,121],[1,2,4,5,
24,32,33,122],[1,2,6,7,25,37,49,123],[1,3,4,6,7,14,35,36,41,52,124],[1,3,4,8,
14,39,47,53,125],[1,4,6,7,25,36,41,50,126],[1,4,6,7,8,11,39,41,46,51,127],[1,
4,7,11,35,42,128],[1,4,5,6,23,36,42,129],[1,2,3,4,5,12,16,30,32,38,130],[1,3,
6,19,22,40,131],[1,3,4,8,14,34,40,132],[1,4,6,11,29,36,133],[1,2,4,5,17,23,24,
30,32,134],[1,2,3,4,12,20,40,135],[1,3,5,8,21,34,40,136],[1,3,7,18,20,40,
137],[1,3,6,7,8,18,22,34,56,138],[1,2,3,4,6,8,12,22,34,46,55,139],[1,4,5,7,23,
35,42,140],[1,3,7,8,18,20,34,141],[1,3,8,20,34,40,142],[1,3,5,6,21,22,40,
143],[1,4,6,7,29,41,144],[1,2,3,4,12,48,145],[1,4,5,6,23,29,36,146],[1,3,6,8,
19,22,34,147],[1,3,5,8,20,21,34,148],[1,4,6,7,28,35,41,49,149],[1,3,8,19,34,
40,150],[1,3,5,8,19,21,34,151],[1,2,4,6,13,36,42,152],[1,3,5,7,8,18,21,34,58,
153],[1,3,4,7,14,18,19,154],[1,3,8,34,40,155],[1,3,8,34,40,156],[1,2,3,4,8,12,
31,47,53,157],[1,2,3,4,6,7,12,35,36,37,52,158],[1,3,6,7,18,22,40,159],[1,3,8,
10,19,34,160],[1,3,4,14,48,161],[1,3,4,14,29,42,162],[1,2,4,6,7,8,13,39,41,54,
55,163],[1,3,4,5,14,16,30,33,38,164],[1,4,5,7,23,29,35,165],[1,2,4,5,13,17,30,
32,33,166],[1,4,5,23,24,30,33,167],[1,3,5,20,21,40,168],[1,3,4,6,14,20,22,
169],[1,3,5,19,21,40,170],[1,3,7,8,18,34,40,171],[1,2,3,4,5,12,13,15,17,32,33,
38,172],[1,3,5,6,8,21,22,34,57,173],[1,2,3,4,12,19,40,174],[1,3,4,8,14,34,40,
175],[1,3,5,8,21,34,40,176],[1,4,5,16,23,30,33,177],[1,3,8,19,20,34,178],[1,4,
6,7,41,42,179],[1,3,6,10,22,40,180],[1,3,5,6,19,21,22,181],[1,2,3,4,12,29,42,
182],[1,3,5,7,18,21,40,183],[1,2,4,7,13,29,35,184],[1,3,7,10,18,40,185],[1,3,
19,20,40,186],[1,2,3,4,7,8,12,18,34,51,54,187],[1,3,5,7,18,20,21,188],[1,3,4,
14,48,189],[1,3,8,10,20,34,190],[1,3,6,8,22,34,40,191],[1,4,6,16,36,48,192],[
1,2,4,5,7,8,32,35,47,54,58,193],[1,2,3,4,5,15,17,21,24,30,32,38,194],[1,3,7,
18,59,195],[1,4,5,6,8,33,36,46,47,57,196],[1,4,5,6,7,8,23,39,41,57,58,197],[1,
4,6,7,8,26,41,44,46,56,198],[1,4,7,8,29,35,39,199],[1,3,6,7,18,28,49,50,52,
200],[1,4,7,16,35,48,201],[1,2,4,5,32,42,48,202],[1,3,8,19,53,203],[1,4,5,8,
29,30,47,204],[1,2,4,5,6,8,32,36,47,55,57,205],[1,4,6,8,36,39,42,206],[1,2,4,
8,13,47,48,207],[1,3,4,5,21,23,24,30,33,38,208],[1,4,6,7,35,36,41,49,50,209],[
1,4,8,11,47,48,210],[1,4,5,8,23,47,48,211],[1,4,5,8,30,42,47,212],[1,2,5,6,7,
8,17,31,37,57,58,213],[1,4,7,8,35,39,42,214],[1,4,6,7,8,27,41,45,51,56,215],[
1,4,5,7,30,35,48,216],[1,4,5,33,42,48,217],[1,4,5,6,30,36,48,218],[1,4,5,7,8,
33,35,47,51,58,219],[1,4,8,16,42,47,220],[1,4,5,29,33,48,221],[1,3,20,222],[1,
4,8,16,29,47,223],[1,2,4,5,29,32,48,224],[1,3,19,225],[1,4,6,7,41,60,226],[1,
2,6,7,37,60,227],[1,2,6,7,37,59,228],[1,3,8,20,53,229],[1,4,6,8,29,36,39,
230],[1,2,6,7,8,26,37,44,55,56,231],[1,2,4,6,7,8,13,31,37,46,51,54,55,232],[1,
4,6,7,29,41,42,233],[1,4,6,7,41,59,234],[1,4,5,8,23,47,48,235],[1,3,6,7,22,25,
49,50,52,236],[1,3,6,22,60,237],[1,2,6,7,8,27,37,45,54,56,238],[1,6,7,26,49,
60,239],[1,6,8,25,44,60,240],[1,6,7,8,44,49,60,241],[1,7,27,28,59,242],[1,6,
25,26,60,243],[1,2,3,5,6,7,8,15,52,53,54,55,57,58,244],[1,4,6,7,8,39,43,44,45,
46,51,56,245],[1,6,7,8,45,50,59,246],[1,3,4,5,6,7,8,38,46,51,52,53,57,58,
247],[1,6,7,27,50,59,248],[1,2,6,7,8,31,43,44,45,54,55,56,249],[1,7,8,28,45,
59,250],[1,4,9,16,251],[1,3,9,10,252],[1,4,9,11,253],[1,6,9,26,254],[1,7,9,27,
255],[1,6,9,25,256],[1,7,9,28,257],[1,5,9,24,258],[1,3,6,7,9,52,62,64,67,
259],[1,3,8,9,53,61,62,66,260],[1,5,7,8,9,58,63,66,67,261],[1,8,9,43,262],[1,
5,6,8,9,57,61,63,64,263],[1,2,3,5,9,15,62,63,65,264],[1,2,6,8,9,55,64,65,66,
265],[1,2,7,8,9,54,61,65,67,266],[1,2,3,4,5,10,12,14,15,21,38,69,71,72,92,95,
267],[1,2,3,4,5,13,14,15,16,23,32,73,88,89,112,268],[1,3,4,6,14,16,20,22,36,
73,81,84,169,269],[1,2,3,4,5,10,11,12,13,14,15,17,21,23,32,33,38,70,72,82,92,
93,109,112,172,270],[1,2,3,4,8,10,12,14,31,34,39,47,53,72,105,108,120,125,157,
271],[1,2,3,4,5,10,12,14,16,21,30,32,33,38,72,73,85,95,109,130,164,272],[1,3,
4,5,11,14,16,23,30,33,38,73,90,93,164,177,273],[1,3,4,5,6,14,19,21,22,30,36,
80,84,85,181,274],[1,2,3,4,6,7,10,12,14,18,22,35,36,37,41,52,72,83,84,99,100,
124,158,275],[1,2,3,4,10,12,14,40,72,98,103,106,276],[1,3,4,14,16,42,73,116,
277],[1,3,4,5,7,14,18,20,21,30,35,81,83,85,188,278],[1,3,4,7,14,16,18,19,35,
73,80,83,154,279],[1,2,3,4,10,12,14,19,20,72,80,81,110,113,280],[1,3,4,14,16,
29,73,94,281],[1,3,6,7,10,18,22,25,28,49,50,52,100,200,236,282],[1,3,10,19,20,
110,283],[1,3,4,5,10,11,14,16,21,23,24,30,33,38,93,95,164,208,284],[1,2,3,4,5,
11,12,13,15,16,17,30,32,33,38,70,87,88,90,130,166,172,285],[1,2,3,4,6,7,12,18,
19,22,37,40,41,99,101,111,131,174,286],[1,3,4,7,14,18,19,27,35,78,83,101,115,
154,287],[1,2,3,4,6,7,12,18,20,22,37,40,41,99,104,119,135,137,288],[1,3,4,6,7,
14,22,25,35,36,41,49,50,52,84,124,126,209,236,289],[1,3,4,7,14,18,19,77,80,
101,115,154,290],[1,2,3,4,5,6,8,12,14,21,22,32,33,34,36,46,47,55,57,84,109,
120,139,173,196,205,291],[1,3,6,10,19,20,22,40,110,117,118,131,180,292],[1,3,
4,5,11,14,20,23,29,33,38,81,93,94,293],[1,2,3,4,5,13,14,15,20,23,32,42,81,112,
116,294],[1,2,3,4,5,6,7,8,12,17,18,21,22,23,31,34,37,39,41,57,58,82,99,105,
153,173,197,213,295],[1,3,4,5,6,10,14,21,22,36,38,40,84,95,106,143,180,296],[
1,3,4,7,8,14,18,34,35,40,45,83,96,111,132,171,297],[1,3,4,14,20,29,42,81,162,
298],[1,3,4,6,14,20,22,79,81,104,118,169,299],[1,3,4,5,7,10,14,18,21,35,38,40,
83,95,106,183,185,300],[1,3,6,7,10,18,22,40,52,69,100,103,180,185,301],[1,3,4,
5,8,14,21,30,34,40,47,85,106,120,136,176,302],[1,2,3,4,5,7,8,12,14,18,21,32,
33,34,35,47,51,54,58,83,109,120,153,187,193,219,303],[1,2,3,4,5,12,14,20,21,
32,33,40,81,106,109,135,168,304],[1,2,3,4,5,12,17,19,20,21,23,40,82,98,113,
168,170,305],[1,3,4,6,7,14,18,28,35,36,41,49,50,52,83,124,149,200,209,306],[1,
2,3,4,12,19,20,40,79,113,117,135,186,307],[1,3,4,5,14,16,21,23,24,30,33,38,85,
164,167,177,208,308],[1,2,3,4,6,7,8,12,18,22,26,34,37,41,44,46,55,56,76,97,99,
138,139,198,231,309],[1,3,6,7,8,10,18,20,22,34,44,52,97,100,104,141,190,310],[
1,2,3,4,5,7,13,14,15,18,23,29,32,35,83,94,112,165,184,311],[1,3,4,6,14,22,36,
48,84,161,312],[1,3,8,10,19,20,34,79,110,114,178,190,313],[1,3,6,7,10,18,22,
27,40,52,78,100,111,159,185,314],[1,3,6,7,8,10,18,19,22,34,45,52,96,100,101,
147,160,315],[1,2,3,4,10,12,14,29,42,72,94,116,162,182,316],[1,2,3,4,5,6,13,
14,15,22,23,32,36,42,84,112,116,129,152,317],[1,2,3,4,6,8,12,19,20,22,34,46,
55,113,114,118,139,147,318],[1,3,4,6,8,14,22,34,36,40,44,84,97,119,175,191,
319],[1,3,4,14,16,48,73,189,320],[1,2,3,4,11,12,13,19,20,40,70,98,113,135,174,
321],[1,3,4,7,14,18,35,48,83,161,322],[1,3,5,8,10,19,20,21,34,53,71,108,110,
148,151,323],[1,3,4,5,7,11,14,18,23,33,35,38,42,83,93,116,128,140,324],[1,2,3,
4,12,19,20,40,77,107,113,174,186,325],[1,3,4,8,14,19,34,40,80,102,107,132,150,
326],[1,3,4,8,14,20,39,47,53,81,125,229,327],[1,3,4,5,11,14,19,23,33,38,42,80,
93,116,328],[1,3,4,5,14,21,29,30,42,85,94,116,329],[1,3,4,5,14,21,30,48,85,
189,330],[1,3,4,6,14,20,22,26,36,76,84,104,118,169,331],[1,3,4,8,14,20,34,40,
81,114,117,142,175,332],[1,3,6,7,10,18,22,26,40,52,76,100,119,159,180,333],[1,
2,3,4,6,7,8,12,18,22,27,34,37,41,45,51,54,56,78,96,99,138,187,215,238,334],[1,
2,3,4,6,7,8,11,12,13,18,22,31,34,37,39,41,46,51,54,55,70,99,105,127,139,163,
187,232,335],[1,2,3,4,5,13,14,15,19,23,29,32,80,94,112,336],[1,2,3,4,5,11,13,
14,15,17,21,23,24,30,32,33,38,85,87,93,112,134,166,167,194,337],[1,3,8,10,19,
20,34,77,102,110,160,178,338],[1,3,4,14,19,29,42,80,162,339],[1,2,3,4,7,8,12,
18,19,20,34,51,54,102,113,115,141,187,340],[1,3,4,5,8,10,14,20,21,34,38,47,81,
95,120,148,190,341],[1,3,4,5,6,11,14,22,23,29,33,36,38,84,93,94,133,146,342],[
1,2,3,4,5,10,12,14,15,17,21,23,24,30,32,33,38,71,75,82,85,92,95,109,194,208,
343],[1,3,5,6,7,10,18,21,22,40,52,71,100,103,143,183,344],[1,2,3,4,5,12,14,19,
21,32,33,40,80,106,109,170,174,345],[1,3,8,10,19,20,34,53,69,108,110,160,190,
346],[1,3,4,8,14,19,39,47,53,80,125,203,347],[1,2,3,4,10,12,14,48,72,145,161,
189,348],[1,3,4,8,14,16,34,40,47,73,106,120,132,175,349],[1,3,7,10,18,19,20,
40,107,110,115,137,185,350],[1,3,4,5,8,10,14,19,21,34,38,47,80,95,120,151,160,
351],[1,2,3,4,5,15,17,21,23,24,30,32,33,38,74,75,122,134,167,194,208,352],[1,
4,6,7,8,11,26,27,39,41,43,44,45,46,51,56,127,198,215,245,353],[1,3,4,6,8,14,
20,22,34,40,44,47,97,114,120,132,142,169,191,354],[1,3,4,6,7,14,19,35,36,41,
48,52,80,124,161,355],[1,3,4,6,7,8,14,29,35,36,39,41,47,52,53,94,124,125,199,
230,356],[1,3,6,7,8,10,18,22,34,40,53,56,108,138,155,171,180,185,191,357],[1,
2,3,4,5,13,14,15,23,29,32,42,48,112,161,162,202,224,358],[1,2,3,4,5,8,13,14,
15,23,32,34,47,48,112,120,189,207,211,359],[1,3,4,6,7,14,20,35,36,41,48,52,81,
124,161,360],[1,3,4,8,14,16,29,39,42,47,53,73,125,162,220,223,361],[1,3,4,5,6,
8,10,14,20,21,22,34,38,40,57,95,132,168,169,173,180,190,362],[1,3,5,6,8,10,19,
21,22,34,40,57,71,136,160,170,173,180,181,363],[1,3,4,5,6,7,8,11,14,23,33,35,
36,38,39,41,46,47,51,52,53,57,58,93,124,125,127,196,197,219,247,364],[1,3,5,6,
7,8,18,19,21,22,34,56,58,101,102,138,147,151,153,181,365],[1,4,6,7,8,11,25,29,
36,39,41,46,50,51,126,127,133,144,230,366],[1,2,3,4,6,8,12,19,20,22,34,40,46,
55,104,113,131,135,139,142,178,367],[1,3,6,8,10,19,22,34,40,44,53,97,108,147,
150,156,160,180,368],[1,3,4,7,8,14,18,29,35,39,42,47,53,83,125,162,199,214,
369],[1,2,3,4,5,6,7,8,10,12,15,18,21,22,34,38,46,51,52,53,54,55,57,58,92,100,
108,139,153,173,187,244,247,370],[1,2,3,4,5,6,7,12,17,21,23,29,35,36,37,42,52,
82,129,140,146,158,165,182,371],[1,3,4,8,14,39,42,47,48,53,116,125,161,372],[
1,3,6,7,10,18,22,52,60,100,237,373],[1,3,4,5,6,7,11,14,23,29,33,35,36,38,41,
42,52,93,124,128,129,133,162,165,374],[1,3,5,7,8,18,20,21,24,34,40,58,75,136,
148,153,168,183,188,375],[1,3,5,7,8,10,18,20,21,34,40,58,71,153,168,176,185,
188,190,376],[1,3,4,14,29,42,48,94,161,162,377],[1,3,4,5,8,11,14,23,33,38,39,
47,48,53,93,125,161,210,211,378],[1,3,4,5,6,7,14,21,30,35,36,41,48,52,85,124,
161,216,218,379],[1,3,4,6,7,14,29,35,36,41,42,52,116,124,162,179,233,380],[1,
3,5,6,7,8,18,20,21,22,34,40,56,57,118,138,142,143,159,173,188,381],[1,3,4,5,
10,14,21,38,42,48,95,116,189,382],[1,2,3,4,6,7,12,18,22,37,41,60,99,226,227,
237,383],[1,3,5,6,8,19,20,21,22,34,40,104,148,168,178,181,186,191,384],[1,2,3,
4,6,7,11,12,13,29,35,36,37,42,52,70,128,133,152,158,182,184,385],[1,2,3,4,8,
11,12,13,31,47,48,53,70,145,157,207,210,386],[1,3,6,7,8,10,18,19,22,34,40,52,
56,100,115,131,138,160,171,185,387],[1,3,5,6,8,19,21,22,34,40,44,57,97,102,
131,136,151,156,173,388],[1,3,4,14,29,42,48,116,161,162,389],[1,2,3,4,6,7,12,
18,22,25,28,35,36,37,41,49,50,52,99,121,123,126,149,158,200,209,236,390],[1,3,
4,5,6,8,14,20,21,22,30,34,40,57,85,143,148,168,169,173,175,391],[1,3,4,5,8,14,
16,29,30,33,34,38,47,94,120,164,204,223,392],[1,3,6,7,8,10,18,20,22,34,40,52,
56,100,118,137,138,180,190,191,393],[1,2,3,4,6,7,8,12,18,19,22,34,37,40,41,51,
54,99,115,147,159,171,174,187,394],[1,4,6,7,8,11,28,35,39,41,42,46,49,51,127,
128,149,179,214,395],[1,2,3,4,5,13,14,15,23,32,40,48,106,112,189,396],[1,2,3,
4,5,6,7,13,14,15,23,29,32,35,36,41,42,52,112,124,140,146,152,162,184,397],[1,
3,4,7,14,18,35,59,83,195,398],[1,3,5,6,8,19,21,22,26,34,40,57,76,131,143,147,
173,181,191,399],[1,3,5,6,7,8,18,20,21,22,34,56,57,104,114,138,141,148,173,
188,400],[1,2,3,4,5,6,7,10,12,15,18,21,22,37,38,40,41,92,98,99,143,180,183,
185,401],[1,3,5,6,7,8,18,21,22,34,40,56,58,111,136,138,143,153,156,191,402],[
1,3,4,6,8,14,22,29,36,39,42,47,53,84,125,162,206,230,403],[1,3,4,7,8,14,18,19,
34,40,106,107,111,150,154,171,175,404],[1,3,4,7,8,14,18,19,34,40,45,47,96,102,
120,150,154,171,175,405],[1,3,4,8,14,34,40,43,47,86,120,132,155,156,175,406],[
1,2,3,4,5,6,7,8,13,14,15,23,32,35,36,39,41,47,52,53,54,55,57,58,112,124,125,
163,193,197,205,244,407],[1,3,6,8,10,19,20,22,34,40,104,110,142,147,180,186,
190,408],[1,2,3,4,6,8,12,19,22,34,40,46,55,98,119,131,139,150,155,174,409],[1,
3,6,7,10,18,22,40,91,103,111,119,159,180,185,410],[1,3,6,8,10,19,22,34,40,103,
107,131,155,160,180,191,411],[1,3,5,8,19,20,21,34,40,117,136,148,150,156,170,
178,412],[1,3,4,5,7,14,16,18,30,33,35,38,48,83,164,189,201,216,413],[1,3,4,6,
7,8,14,35,36,39,41,42,47,52,53,116,124,125,206,214,414],[1,3,5,6,8,19,21,22,
34,40,77,131,147,150,151,170,181,415],[1,3,4,6,7,14,16,35,36,41,48,52,73,124,
161,192,201,416],[1,3,5,6,7,18,20,21,22,40,104,117,137,143,159,168,188,417],[
1,3,4,6,8,14,19,20,22,34,40,80,131,147,169,175,178,186,418],[1,3,4,6,7,14,18,
19,20,22,40,106,131,137,154,159,169,186,419],[1,3,5,6,8,19,20,21,22,34,44,57,
97,118,147,148,173,178,181,420],[1,3,4,6,8,14,20,22,34,40,106,117,119,132,142,
169,191,421],[1,3,4,6,7,14,29,35,36,41,42,52,94,124,144,162,233,422],[1,2,3,4,
7,8,12,18,19,20,34,40,51,54,101,113,137,150,174,178,187,423],[1,3,4,6,14,22,
36,60,84,237,424],[1,2,3,4,5,12,13,14,15,16,17,21,23,24,30,32,33,38,88,109,
112,122,134,164,166,172,177,194,425],[1,3,4,6,7,8,14,18,20,22,34,35,40,56,83,
137,138,141,159,169,175,426],[1,3,5,6,19,20,21,22,40,118,119,131,143,168,181,
186,427],[1,3,4,5,6,14,16,22,30,33,36,38,48,84,164,189,192,218,428],[1,2,4,6,
7,8,13,25,36,39,41,42,50,54,55,126,152,163,179,206,429],[1,2,3,4,6,7,12,18,22,
29,37,41,42,99,144,179,182,233,430],[1,2,3,4,6,7,12,18,22,37,41,59,99,195,228,
234,431],[1,2,3,4,5,10,12,13,14,15,16,17,21,23,24,30,32,33,38,92,95,112,130,
164,172,194,208,432],[1,3,4,5,14,16,19,30,33,38,48,80,164,189,433],[1,3,8,10,
19,20,34,40,103,142,150,156,160,186,190,434],[1,2,3,4,7,8,10,12,14,18,19,34,
40,51,54,72,132,154,160,174,185,187,435],[1,2,3,4,5,6,8,12,14,20,21,22,32,33,
34,40,46,55,109,132,135,139,143,148,169,436],[1,3,6,7,10,18,22,40,52,100,103,
437],[1,3,6,7,10,18,22,52,59,100,195,438],[1,3,5,6,7,18,19,21,22,40,101,107,
131,159,170,181,183,439],[1,2,3,4,5,10,12,15,19,20,21,38,40,92,103,110,135,
168,170,174,440],[1,3,4,6,7,8,14,18,19,20,22,34,47,56,120,138,141,147,154,169,
178,441],[1,3,5,7,8,18,20,21,34,40,45,58,96,114,137,148,153,156,176,442],[1,3,
4,5,11,14,23,29,33,38,42,48,93,161,162,217,221,443],[1,3,5,6,7,8,18,19,21,22,
34,40,56,58,115,138,150,153,159,181,183,444],[1,3,5,7,8,18,20,21,34,40,43,58,
86,136,141,142,148,153,171,445],[1,3,5,7,8,18,19,20,21,34,45,58,96,115,141,
151,153,178,188,446],[1,2,3,4,5,6,8,12,17,19,21,22,23,34,40,46,55,82,136,139,
143,151,174,181,447],[1,3,4,5,11,14,23,33,38,40,48,93,106,189,448],[1,2,3,4,5,
12,14,21,29,32,33,48,94,109,189,221,224,449],[1,3,7,8,10,18,20,34,40,45,53,96,
108,141,142,156,185,190,450],[1,3,4,5,8,14,21,29,30,39,42,47,53,85,125,162,
204,212,451],[1,3,4,7,8,14,18,19,20,34,40,81,132,137,141,154,178,186,452],[1,
2,3,4,5,12,13,15,16,17,21,23,24,30,32,33,38,82,89,130,134,166,167,172,177,194,
208,453],[1,2,3,4,5,8,10,12,15,19,20,21,31,34,38,39,92,105,113,148,151,160,
190,454],[1,2,3,4,8,12,19,20,31,34,39,40,105,135,142,150,155,174,178,455],[1,
2,3,4,5,8,12,14,21,31,32,33,34,39,40,98,105,109,132,136,175,176,456],[1,2,3,4,
7,8,12,18,20,31,34,39,40,51,54,105,114,135,141,156,171,187,457],[1,2,3,4,5,7,
8,12,14,18,19,21,32,33,34,40,51,54,109,151,154,174,175,183,187,458],[1,2,3,4,
5,12,14,21,32,33,42,48,109,116,189,202,217,459],[1,3,5,6,8,19,21,22,34,40,91,
131,143,150,170,176,191,460],[1,2,3,4,5,11,12,14,16,21,23,24,30,32,33,38,87,
89,90,93,109,122,130,164,167,177,208,461],[1,3,4,5,14,16,29,30,33,38,40,94,
106,164,462],[1,3,5,6,7,8,18,21,22,34,40,45,57,96,136,155,159,173,183,191,
463],[1,3,4,5,8,10,14,21,34,38,40,53,95,103,108,132,136,175,176,464],[1,3,5,6,
8,19,21,22,34,40,43,57,86,147,150,151,173,176,191,465],[1,3,4,8,14,29,39,47,
48,53,94,125,161,466],[1,3,4,5,7,8,10,14,18,19,21,34,38,40,58,95,153,154,160,
170,175,185,467],[1,3,5,7,8,18,20,21,27,34,40,58,78,137,141,153,171,183,188,
468],[1,3,4,5,14,16,20,30,33,38,48,81,164,189,469],[1,2,3,4,5,6,7,12,14,18,19,
20,21,22,32,33,37,41,99,109,113,154,169,181,188,470],[1,2,3,4,5,8,13,14,15,23,
32,39,47,48,53,112,125,161,207,235,471],[1,3,4,5,6,7,10,14,18,19,20,21,22,38,
52,95,100,110,154,169,181,188,472],[1,2,3,4,12,19,20,113,222,473],[1,3,5,6,7,
8,18,21,22,34,40,56,57,119,138,156,171,173,176,183,474],[1,3,5,6,7,8,18,21,22,
34,40,44,58,97,143,153,155,159,171,176,475],[1,3,4,8,14,34,40,91,106,132,155,
156,175,476],[1,3,5,8,19,20,21,34,40,107,142,151,156,168,176,178,477],[1,3,5,
8,19,20,21,34,40,114,136,150,151,155,168,186,478],[1,3,5,8,19,20,21,34,40,102,
142,148,155,170,176,186,479],[1,2,3,4,6,8,12,19,22,31,34,39,40,46,55,102,105,
139,147,156,174,191,480],[1,2,3,4,5,6,8,10,12,15,19,21,22,34,38,40,46,55,92,
139,160,174,176,180,181,481],[1,2,4,6,7,8,13,28,29,35,39,41,49,54,55,144,149,
163,184,199,482],[1,3,4,5,7,8,14,18,19,21,30,34,40,58,85,132,151,153,154,170,
183,483],[1,3,5,7,8,18,20,21,34,40,91,136,137,142,168,171,183,484],[1,2,3,4,6,
7,8,12,18,22,31,34,39,43,44,45,46,51,54,55,56,86,96,97,105,138,139,187,245,
249,485],[1,2,3,4,6,8,10,12,14,20,22,34,40,46,55,72,135,139,169,175,180,190,
486],[1,3,5,7,18,19,20,21,40,111,115,137,170,183,186,188,487],[1,2,3,4,12,19,
20,48,113,145,488],[1,2,3,4,5,7,8,12,17,18,20,21,23,34,40,51,54,82,135,148,
176,183,187,188,489],[1,3,10,19,20,110,225,490],[1,2,3,4,6,7,8,12,18,20,22,34,
37,40,41,46,55,99,118,135,139,141,159,191,491],[1,3,4,14,19,80,225,492],[1,2,
3,4,5,7,8,10,12,15,18,20,21,34,38,40,51,54,92,135,136,185,187,188,190,493],[1,
3,4,6,7,8,14,18,19,22,34,36,40,56,84,131,132,138,147,154,159,494],[1,2,3,4,6,
7,8,12,18,22,34,40,46,51,54,55,98,139,156,159,171,187,191,495],[1,3,7,8,10,18,
20,34,40,103,117,137,155,171,185,190,496],[1,2,3,4,12,19,20,40,91,98,107,117,
135,174,186,497],[1,2,3,4,5,8,12,17,21,23,31,47,48,53,82,145,157,211,235,
498],[1,2,3,4,8,12,19,20,31,47,53,113,157,203,229,499],[1,2,3,4,12,19,20,113,
225,500],[1,3,5,7,8,18,20,21,34,40,79,137,141,142,148,168,188,501],[1,3,4,5,8,
11,14,23,33,34,38,47,48,93,120,189,210,235,502],[1,3,5,6,8,19,21,22,34,40,107,
119,136,143,147,155,170,503],[1,3,4,5,10,14,21,29,38,48,94,95,189,504],[1,2,3,
4,7,8,12,18,20,34,40,51,54,98,111,135,137,142,155,187,505],[1,3,5,6,8,19,21,
22,24,34,40,57,75,143,151,170,173,176,181,506],[1,3,8,10,19,20,34,43,53,86,
102,108,114,160,178,190,507],[1,3,4,5,8,14,16,30,33,34,38,42,47,116,120,164,
212,220,508],[1,3,4,14,20,81,222,509],[1,3,8,10,19,20,34,53,108,110,203,229,
510],[1,3,4,5,14,16,30,33,38,40,42,106,116,164,511],[1,3,10,19,20,110,222,
512],[1,3,5,7,8,18,20,21,34,40,111,117,141,155,168,176,183,513],[1,3,7,8,10,
18,19,20,34,40,101,110,141,150,160,185,186,514],[1,3,5,7,8,18,19,20,21,34,40,
101,151,170,171,178,186,188,515],[1,4,6,7,8,27,28,35,41,45,49,51,56,59,149,
215,234,242,250,516],[1,4,5,6,7,8,23,29,35,36,39,41,49,50,57,58,144,146,165,
197,199,209,230,517],[1,3,6,7,22,25,40,49,50,52,60,119,236,237,518],[1,2,4,6,
7,8,13,39,41,54,55,59,60,163,226,234,519],[1,2,4,5,7,8,11,30,32,35,42,47,48,
54,58,87,128,193,202,210,212,216,520],[1,4,5,6,8,11,16,29,33,36,46,47,48,57,
90,133,192,196,210,221,223,521],[1,2,4,5,6,8,13,16,32,36,42,47,48,55,57,88,
152,192,202,205,207,220,522],[1,3,6,7,8,22,25,34,44,49,50,52,60,97,236,237,
240,241,523],[1,3,8,19,53,77,203,225,524],[1,2,4,5,6,8,13,17,30,32,33,36,42,
46,47,48,57,152,166,196,207,212,217,218,525],[1,3,6,7,18,27,28,49,50,52,59,78,
195,200,242,248,526],[1,4,6,7,8,25,27,36,41,45,50,51,56,59,126,215,234,246,
248,527],[1,4,5,6,8,23,24,29,30,33,36,46,47,48,57,146,167,196,204,218,221,235,
528],[1,4,6,7,8,25,26,36,41,44,46,50,56,60,126,198,226,240,243,529],[1,2,3,4,
5,6,7,8,12,13,15,17,31,32,33,35,36,37,38,46,47,51,52,53,54,55,57,58,157,158,
172,193,196,205,213,219,232,244,247,530],[1,2,3,4,5,6,7,12,16,30,32,35,36,37,
38,48,52,130,145,158,192,201,216,218,531],[1,2,4,5,7,8,13,17,29,30,32,33,35,
47,48,51,58,166,184,204,207,216,219,221,532],[1,2,4,6,7,8,13,29,35,36,39,41,
42,49,50,54,55,152,163,184,209,214,230,233,533],[1,4,5,7,8,16,23,29,30,33,35,
47,48,51,58,165,177,201,211,219,221,223,534],[1,2,4,5,7,8,17,23,24,29,30,32,
35,47,48,54,58,134,165,193,204,211,216,224,535],[1,4,5,7,8,23,24,30,33,35,42,
47,48,51,58,140,167,212,216,217,219,235,536],[1,3,6,7,22,25,26,49,50,52,60,76,
236,237,239,243,537],[1,4,5,6,7,8,23,35,36,39,41,42,49,50,57,58,129,140,179,
197,206,209,214,538],[1,4,5,6,7,8,23,25,29,36,39,41,42,50,57,58,126,129,146,
197,206,230,233,539],[1,4,6,7,8,11,29,35,36,39,41,42,46,49,50,51,127,128,133,
199,206,209,233,540],[1,4,5,6,8,16,23,30,33,36,42,46,47,48,57,129,177,192,196,
211,217,220,541],[1,4,6,7,8,26,29,41,44,46,56,59,144,198,234,542],[1,4,6,7,8,
27,41,42,45,51,56,60,179,215,226,543],[1,2,4,5,6,8,16,23,29,32,36,47,48,55,57,
89,146,192,205,223,224,235,544],[1,2,4,5,6,8,11,29,30,32,36,47,48,55,57,87,
133,204,205,210,218,224,545],[1,2,4,5,6,8,17,23,24,30,32,36,42,47,48,55,57,
129,134,202,205,211,212,218,546],[1,2,4,5,7,8,16,23,32,35,42,47,48,54,58,89,
140,193,201,202,220,235,547],[1,2,4,5,7,8,13,16,29,32,35,47,48,54,58,88,184,
193,201,207,223,224,548],[1,3,8,20,53,79,222,229,549],[1,2,3,4,8,12,31,40,47,
48,53,98,145,157,550],[1,2,3,4,5,8,12,16,29,30,31,32,38,42,47,53,130,157,182,
204,212,220,223,551],[1,2,3,4,6,7,8,12,29,31,34,35,36,37,39,42,52,105,158,182,
199,206,214,230,552],[1,3,8,19,40,53,107,203,225,553],[1,3,6,7,18,19,28,49,50,
52,59,101,195,200,554],[1,3,6,7,8,18,28,34,45,49,50,52,59,96,195,200,246,250,
555],[1,3,6,7,18,28,40,49,50,52,59,111,195,200,556],[1,4,5,6,7,8,23,28,29,35,
39,41,42,49,57,58,140,149,165,197,199,214,233,557],[1,3,6,7,20,22,25,49,50,52,
60,104,236,237,558],[1,4,6,7,8,11,39,41,46,51,59,60,127,226,234,559],[1,2,4,6,
7,8,13,26,27,31,37,39,41,43,44,45,46,51,54,55,56,163,198,215,231,232,238,245,
249,560],[1,2,3,4,5,12,13,15,17,29,32,33,38,42,48,145,172,182,202,217,221,224,
561],[1,4,6,7,8,26,28,35,41,44,46,49,56,60,149,198,226,239,241,562],[1,3,6,8,
20,22,53,118,222,229,563],[1,3,8,20,40,53,117,222,229,564],[1,3,7,8,18,19,53,
115,203,225,565],[1,4,5,7,8,11,16,33,35,42,47,48,51,58,90,128,201,210,217,219,
220,566],[1,4,6,7,8,26,41,42,44,46,56,59,179,198,234,567],[1,4,6,7,8,27,29,41,
45,51,56,60,144,215,226,568],[1,3,8,19,34,53,102,203,225,569],[1,3,8,20,34,53,
114,222,229,570],[1,2,6,7,8,25,26,37,44,49,55,56,60,123,227,231,239,240,241,
243,571],[1,2,5,6,7,8,17,31,37,57,58,59,60,213,227,228,572],[1,2,6,7,8,27,28,
37,45,50,54,56,59,121,228,238,242,246,248,250,573],[1,9,68,574],[1,4,8,9,16,
29,47,66,223,251,575],[1,3,4,9,14,16,62,73,251,576],[1,2,3,4,9,11,12,13,62,70,
253,577],[1,2,4,5,9,16,23,32,65,89,251,578],[1,4,5,9,11,16,33,63,90,253,579],[
1,4,7,9,11,35,42,67,128,253,580],[1,4,8,9,16,42,47,61,220,251,581],[1,4,7,9,
16,35,48,67,201,251,582],[1,4,8,9,11,47,48,61,210,253,583],[1,2,4,5,9,13,16,
32,63,88,251,584],[1,3,8,9,10,19,34,61,160,252,585],[1,3,8,9,10,20,34,66,190,
252,586],[1,4,6,9,16,36,48,64,192,251,587],[1,3,5,9,10,21,63,71,252,588],[1,2,
4,5,9,11,30,32,65,87,253,589],[1,4,6,9,11,29,36,64,133,253,590],[1,3,9,10,62,
69,252,591],[1,3,7,9,10,18,40,67,185,252,592],[1,4,8,9,11,47,48,66,210,253,
593],[1,2,3,4,9,10,12,14,65,72,252,594],[1,3,6,9,10,22,40,64,180,252,595],[1,
6,7,9,27,50,59,64,248,255,596],[1,6,8,9,25,44,60,66,240,256,597],[1,2,4,5,9,
24,32,33,65,122,258,598],[1,6,7,9,26,49,60,67,239,254,599],[1,5,9,24,63,74,
258,600],[1,3,6,9,22,26,62,76,254,601],[1,6,9,25,26,60,64,243,256,602],[1,3,5,
9,21,24,62,75,258,603],[1,3,7,9,18,27,62,78,255,604],[1,7,9,27,28,59,67,242,
257,605],[1,2,6,7,9,25,37,49,65,123,256,606],[1,6,9,25,26,60,64,243,254,607],[
1,7,8,9,28,45,59,61,250,257,608],[1,2,6,7,9,28,37,50,65,121,257,609],[1,3,9,
20,62,79,610],[1,3,9,19,62,77,611],[1,7,9,27,28,59,67,242,255,612],[1,3,8,9,
34,43,62,86,262,613],[1,3,9,40,62,91,614],[1,2,3,5,6,7,8,9,15,52,53,54,55,57,
58,61,62,63,64,65,66,67,244,259,260,261,263,264,265,266,615],[1,3,4,6,14,16,
20,22,26,36,73,76,79,81,84,104,118,169,269,299,331,616],[1,2,3,4,6,7,10,12,14,
18,22,25,28,35,36,37,41,49,50,52,72,83,84,99,100,121,123,124,126,149,158,200,
209,236,275,282,289,306,390,617],[1,2,3,4,5,10,11,12,13,14,15,16,17,21,23,24,
30,32,33,38,69,70,71,72,73,75,82,85,92,93,95,109,112,130,164,172,194,208,267,
270,272,284,343,432,618],[1,3,4,7,14,16,18,19,27,35,73,77,78,80,83,101,115,
154,279,287,290,619],[1,2,3,4,10,12,14,19,20,72,80,81,110,113,280,283,620],[1,
2,3,4,5,10,11,12,14,16,21,23,24,30,32,33,38,72,73,85,87,89,90,93,95,109,122,
130,164,167,177,208,272,273,284,308,461,621],[1,2,3,4,11,12,13,19,20,40,70,77,
79,91,98,107,113,117,135,174,186,307,321,325,497,622],[1,2,3,4,10,12,14,48,72,
145,161,189,348,623],[1,3,6,7,10,18,22,26,27,40,52,69,76,78,91,100,103,111,
119,159,180,185,301,314,333,410,624],[1,3,8,10,19,20,34,43,53,69,77,79,86,102,
108,110,114,160,178,190,313,338,346,507,625],[1,3,4,8,14,16,34,40,43,47,73,86,
91,106,120,132,155,156,175,349,406,476,626],[1,2,3,4,6,7,8,11,12,13,18,22,26,
27,31,34,37,39,41,43,44,45,46,51,54,55,56,70,76,78,86,96,97,99,105,127,138,
139,163,187,198,215,231,232,238,245,249,309,334,335,353,485,560,627],[1,3,4,6,
14,16,20,22,36,42,73,81,84,116,169,269,277,628],[1,3,4,7,8,14,16,18,19,34,35,
40,45,47,73,80,83,96,102,106,107,111,120,132,150,154,171,175,279,297,326,349,
404,405,629],[1,2,3,4,5,7,13,14,15,16,18,19,23,29,32,35,73,80,83,88,89,94,112,
154,165,184,268,279,281,311,336,630],[1,3,4,5,6,11,14,16,20,22,23,29,30,33,36,
38,73,81,84,90,93,94,133,146,164,169,177,269,273,281,293,342,631],[1,2,3,4,10,
12,14,19,20,29,42,72,80,81,94,110,113,116,162,182,280,298,316,339,632],[1,3,4,
7,14,16,18,19,29,35,73,80,83,94,154,279,281,633],[1,2,3,4,5,8,10,12,14,15,19,
20,21,31,34,38,39,47,53,69,71,72,80,81,92,95,105,108,110,113,120,125,148,151,
157,160,190,267,271,280,323,341,346,351,454,634],[1,2,3,4,8,10,12,14,19,20,31,
34,39,47,53,72,80,81,105,108,110,113,120,125,157,203,229,271,280,327,347,499,
510,635],[1,3,4,6,14,16,20,22,36,48,73,81,84,169,189,269,320,636],[1,2,3,4,6,
7,10,12,14,18,22,35,36,37,40,41,52,72,83,84,98,99,100,103,106,124,158,275,276,
437,637],[1,2,3,4,5,6,7,10,12,14,16,18,19,20,21,22,30,32,33,35,36,37,38,41,52,
72,73,80,81,83,84,85,95,99,100,109,110,113,124,130,154,158,164,169,181,188,
269,272,274,275,278,279,280,470,472,638],[1,3,4,7,14,16,18,19,35,48,73,80,83,
154,189,279,320,639],[1,2,3,4,5,8,10,12,14,16,21,30,31,32,33,34,38,39,40,47,
53,72,73,85,95,98,103,105,106,108,109,120,125,130,132,136,157,164,175,176,271,
272,276,302,349,456,464,640],[1,2,3,4,5,10,11,12,13,14,15,17,19,20,21,23,32,
33,38,40,70,72,80,81,82,92,93,98,103,106,109,110,112,113,135,168,170,172,174,
270,276,280,304,305,321,345,440,641],[1,2,3,4,5,6,7,8,10,11,12,13,14,15,17,18,
21,22,23,31,32,33,34,35,36,37,38,39,41,46,47,51,52,53,54,55,57,58,70,72,82,83,
84,92,93,99,100,105,108,109,112,120,124,125,127,139,153,157,158,163,172,173,
187,193,196,197,205,213,219,232,244,247,270,271,275,291,295,303,335,364,370,
407,530,642],[1,2,3,4,5,10,12,14,16,21,30,32,33,38,48,72,73,85,95,109,130,145,
161,164,189,272,320,330,348,643],[1,2,3,4,5,10,12,14,16,21,29,30,32,33,38,42,
72,73,85,94,95,109,116,130,162,164,182,272,277,281,316,329,644],[1,2,3,4,6,7,
10,12,14,18,22,29,35,36,37,41,42,52,72,83,84,94,99,100,116,124,144,158,162,
179,182,233,275,316,380,422,430,645],[1,2,3,4,10,12,14,19,20,48,72,80,81,110,
113,145,161,189,280,348,488,646],[1,3,4,6,8,14,16,20,22,34,36,40,44,47,73,81,
84,97,106,114,117,119,120,132,142,169,175,191,269,319,332,349,354,421,647],[1,
2,3,4,5,10,11,12,13,14,15,16,17,21,23,24,30,32,33,38,70,72,73,82,85,87,88,89,
90,92,93,95,109,112,122,130,134,164,166,167,172,177,194,208,268,270,272,273,
285,337,425,432,453,461,648],[1,2,3,4,6,7,10,12,14,18,22,35,36,37,41,48,52,72,
83,84,99,100,124,145,158,161,189,275,312,322,348,649],[1,3,4,5,7,11,14,16,18,
19,23,30,33,35,38,42,73,80,83,90,93,116,128,140,154,164,177,273,277,279,324,
328,650],[1,2,3,4,5,6,13,14,15,16,20,22,23,32,36,42,73,81,84,88,89,112,116,
129,152,169,268,269,277,294,317,651],[1,2,3,4,5,6,7,10,12,14,15,18,21,22,35,
36,37,38,40,41,52,69,71,72,83,84,92,95,98,99,100,103,106,124,143,158,180,183,
185,267,275,276,296,300,301,344,401,652],[1,3,5,8,10,19,20,21,34,53,71,108,
110,148,151,203,229,283,323,510,653],[1,2,3,4,5,10,11,12,13,14,15,16,17,21,23,
24,30,32,33,38,71,74,75,82,85,87,88,89,90,92,93,95,109,112,122,130,134,164,
166,167,172,177,194,208,284,308,337,343,352,425,432,453,461,654],[1,3,5,6,7,
10,18,21,22,25,28,40,49,50,52,71,100,103,143,183,200,236,282,344,437,655],[1,
3,6,7,10,18,22,25,28,40,49,50,52,69,100,103,180,185,200,236,282,301,437,656],[
1,3,8,10,19,20,34,53,69,108,110,160,190,203,229,283,346,510,657],[1,3,5,6,8,
19,21,22,24,26,34,40,43,57,75,76,77,86,91,131,143,147,150,151,170,173,176,181,
191,399,415,460,465,506,658],[1,3,5,7,8,18,20,21,24,27,34,40,43,58,75,78,79,
86,91,136,137,141,142,148,153,168,171,183,188,375,445,468,484,501,659],[1,3,4,
7,14,16,18,19,35,59,73,80,83,154,195,279,398,660],[1,2,3,4,5,6,8,12,17,19,20,
21,22,23,34,40,46,55,77,82,98,107,113,114,118,119,131,136,139,143,147,150,151,
155,168,170,174,181,186,305,318,325,409,415,427,447,478,503,661],[1,3,4,5,6,7,
8,14,18,20,21,22,30,34,35,40,56,57,79,81,83,85,104,114,117,118,137,138,141,
142,143,148,159,168,169,173,175,188,278,299,332,381,391,400,417,426,501,662],[
1,3,4,5,6,14,19,21,22,30,36,80,84,85,181,225,274,492,663],[1,3,4,5,7,14,18,20,
21,30,35,59,81,83,85,188,195,278,398,664],[1,2,3,4,5,6,7,8,12,17,18,20,21,22,
23,27,31,34,37,39,40,41,45,51,54,56,57,58,78,82,96,99,104,105,114,119,135,137,
138,141,148,153,156,171,173,176,183,187,188,197,213,215,238,288,295,334,400,
442,457,468,474,489,665],[1,2,3,4,5,7,11,13,14,15,17,18,20,21,23,24,29,30,32,
33,35,38,42,81,83,85,87,93,94,112,116,128,134,140,165,166,167,184,188,194,278,
293,294,311,324,329,337,666],[1,2,3,4,8,10,12,14,29,31,34,39,42,47,48,53,72,
94,105,108,116,120,125,145,157,161,162,182,189,271,316,348,372,466,667],[1,2,
3,4,5,6,7,8,12,17,18,19,21,22,23,26,31,34,37,39,40,41,44,46,55,56,57,58,76,82,
97,99,101,102,105,111,131,136,138,139,143,147,151,153,156,173,174,181,191,197,
198,213,231,286,295,309,365,388,399,402,447,480,668],[1,3,4,6,7,8,14,16,18,19,
20,22,34,35,36,40,47,56,73,80,81,83,84,106,120,131,132,137,138,141,147,154,
159,169,175,178,186,269,279,349,418,419,426,441,452,494,669],[1,3,4,6,14,16,
20,22,29,36,48,73,81,84,94,169,189,269,281,320,670],[1,2,3,4,5,10,12,14,15,21,
29,38,42,48,69,71,72,92,94,95,116,145,161,162,182,189,267,316,348,382,504,
671],[1,2,3,4,6,7,8,11,12,13,18,19,20,22,31,34,37,39,40,41,46,51,54,55,70,98,
99,102,105,113,114,115,118,127,135,139,141,147,156,159,163,171,174,187,191,
232,318,321,335,340,394,457,480,491,495,672],[1,2,3,4,5,6,8,10,12,14,16,20,21,
22,30,32,33,34,36,38,40,46,47,55,57,72,73,81,84,85,95,106,109,120,130,132,135,
139,143,148,164,168,169,173,175,180,190,196,205,269,272,291,296,304,341,349,
362,391,436,486,673],[1,2,3,4,5,6,7,10,12,14,16,18,21,22,30,32,33,35,36,37,38,
41,48,52,72,73,83,84,85,95,99,100,109,124,130,145,158,161,164,189,192,201,216,
218,272,275,348,379,413,416,428,531,674],[1,3,4,5,6,7,14,18,20,21,28,30,35,36,
41,48,49,50,52,81,83,85,124,149,161,188,200,209,216,218,278,306,322,360,379,
675],[1,2,3,4,5,6,7,10,11,12,13,14,15,17,18,21,22,23,29,32,33,35,36,37,38,41,
42,52,70,72,82,83,84,92,93,94,99,100,109,112,116,124,128,129,133,140,146,152,
158,162,165,172,182,184,270,275,311,316,317,324,342,371,374,385,397,676],[1,2,
3,4,6,8,10,12,14,19,20,22,34,40,46,55,72,79,80,81,104,110,113,114,117,118,131,
135,139,142,147,169,175,178,180,186,190,280,292,299,307,313,318,332,367,408,
418,486,677],[1,3,4,8,14,16,34,40,47,48,73,106,120,132,175,189,320,349,678],[
1,3,4,5,6,7,8,14,18,19,21,22,30,34,36,40,56,58,77,80,84,85,101,102,107,115,
131,132,138,147,150,151,153,154,159,170,181,183,274,290,326,365,415,439,444,
483,494,679],[1,3,4,6,8,14,16,20,22,29,36,39,42,47,53,73,81,84,125,162,169,
206,220,223,229,230,269,298,327,361,403,680],[1,2,3,4,5,6,11,13,14,15,17,19,
21,22,23,24,29,30,32,33,36,38,42,80,84,85,87,93,94,112,116,129,133,134,146,
152,166,167,181,194,274,317,328,329,336,337,342,681],[1,3,4,5,6,8,14,19,21,22,
29,30,36,39,42,47,53,80,84,85,125,162,181,203,204,206,212,230,274,339,347,403,
451,682],[1,3,4,5,6,11,14,16,20,22,23,30,33,36,38,48,73,81,84,90,93,164,169,
177,189,192,218,269,273,320,428,469,683],[1,3,5,7,8,10,18,19,20,21,34,40,45,
53,58,71,79,96,107,108,110,114,115,137,141,142,148,151,153,156,168,176,178,
185,188,190,313,323,350,376,442,446,450,477,501,684],[1,3,4,5,7,14,18,20,21,
30,35,81,83,85,188,222,278,509,685],[1,2,3,4,6,7,8,10,12,14,18,22,29,31,34,35,
36,37,39,41,42,47,52,53,72,83,84,94,99,100,105,108,116,120,124,125,157,158,
162,182,199,206,214,230,271,275,316,356,369,403,414,552,686],[1,3,4,6,7,14,16,
18,19,28,35,36,41,48,49,50,52,73,80,83,124,149,154,161,192,200,201,209,279,
306,322,355,416,687],[1,2,3,4,10,12,14,19,20,29,40,42,72,80,81,94,98,103,106,
110,113,116,162,182,276,280,316,688],[1,3,4,6,14,16,20,22,36,60,73,81,84,169,
237,269,424,689],[1,3,5,6,8,10,19,20,21,22,34,40,44,53,57,71,77,97,102,108,
110,117,118,131,136,147,148,150,151,156,160,170,173,178,180,181,292,323,338,
363,368,388,412,415,420,690],[1,2,3,4,5,10,12,14,16,21,30,32,33,38,42,48,72,
73,85,95,109,116,130,164,189,202,217,272,277,320,382,459,691],[1,3,4,5,6,7,14,
19,21,22,25,30,35,36,41,48,49,50,52,80,84,85,124,126,161,181,209,216,218,236,
274,289,312,355,379,692],[1,3,5,6,7,8,10,18,20,21,22,27,34,40,44,52,58,71,78,
97,100,103,104,111,117,137,141,143,153,155,159,168,171,176,183,185,188,190,
310,314,344,376,417,468,475,496,513,693],[1,3,4,5,6,14,16,19,21,22,23,24,30,
33,36,38,48,80,84,85,164,167,177,181,189,192,208,218,274,308,330,428,433,
694],[1,2,3,4,6,7,10,12,14,18,19,20,22,35,36,37,41,48,52,72,80,81,83,84,99,
100,110,113,124,145,158,161,189,275,280,348,355,360,695],[1,2,3,4,5,7,8,12,17,
18,19,20,21,23,34,40,51,54,79,82,98,102,111,113,115,117,135,137,141,142,148,
155,168,170,176,183,186,187,188,305,307,340,479,487,489,501,505,513,696],[1,2,
3,4,6,7,8,11,12,13,18,19,20,22,31,34,37,39,40,41,46,51,54,55,70,98,99,101,104,
105,111,113,119,127,131,135,137,139,142,150,155,163,174,178,187,232,286,288,
321,335,367,409,423,455,505,697],[1,3,4,5,8,11,14,16,23,30,33,34,38,40,42,47,
73,90,93,106,116,120,132,164,175,177,212,220,273,277,349,508,511,698],[1,2,3,
4,5,10,12,14,16,19,20,21,30,32,33,38,48,72,73,80,81,85,95,109,110,113,130,145,
161,164,189,272,280,348,433,469,699],[1,3,4,8,14,16,29,34,40,42,47,73,94,106,
116,120,132,175,277,281,349,700],[1,3,4,6,14,16,20,22,36,73,81,84,169,222,269,
509,701],[1,3,6,7,8,10,18,19,20,22,34,40,52,53,56,69,100,103,107,108,110,115,
117,118,131,137,138,155,160,171,180,185,190,191,292,301,346,350,357,387,393,
411,496,702],[1,3,4,6,7,14,16,20,22,25,35,36,41,48,49,50,52,73,81,84,124,126,
161,169,192,201,209,236,269,289,312,360,416,703],[1,2,3,4,5,8,10,12,14,16,21,
29,30,31,32,33,34,38,39,42,47,53,72,73,85,94,95,105,108,109,116,120,125,130,
157,162,164,182,204,212,220,223,271,272,316,361,392,451,508,551,704],[1,2,3,4,
10,12,14,19,20,72,80,81,110,113,225,280,490,492,500,705],[1,2,3,4,6,7,10,12,
14,18,22,35,36,37,41,52,60,72,83,84,99,100,124,158,226,227,237,275,373,383,
424,706],[1,2,3,4,7,8,10,12,14,18,19,20,34,40,51,54,72,77,80,81,101,102,107,
110,113,115,132,137,141,150,154,160,174,178,185,186,187,280,290,325,326,338,
340,350,423,435,452,514,707],[1,2,3,4,10,12,14,29,42,48,72,94,116,145,161,162,
182,189,316,348,377,389,708],[1,3,4,7,14,16,18,19,35,42,48,73,80,83,116,154,
189,277,279,320,709],[1,3,4,5,8,11,14,16,23,30,33,34,38,40,47,48,73,90,93,106,
120,132,164,175,177,189,210,235,273,320,349,448,502,710],[1,2,3,4,6,7,10,12,
14,18,22,35,36,37,41,52,59,72,83,84,99,100,124,158,195,228,234,275,398,431,
438,711],[1,3,4,5,6,8,14,19,20,21,22,26,30,34,36,40,44,57,76,80,84,85,97,104,
118,119,131,143,147,148,168,169,173,175,178,181,186,191,274,319,331,384,391,
399,418,420,427,712],[1,2,3,4,10,12,14,29,40,42,48,72,94,98,103,106,116,145,
161,162,182,189,276,316,348,713],[1,2,3,4,5,10,12,14,16,21,29,30,32,33,38,40,
42,72,73,85,94,95,98,103,106,109,116,130,162,164,182,272,276,316,462,511,
714],[1,2,3,4,5,10,11,12,13,14,15,17,21,23,29,32,33,38,42,48,70,72,82,92,93,
94,109,112,116,145,161,162,172,182,189,202,217,221,224,270,316,348,358,443,
449,459,561,715],[1,2,3,4,5,10,11,12,13,14,15,17,21,23,32,33,38,40,48,70,72,
82,92,93,98,103,106,109,112,145,161,172,189,270,276,348,396,448,716],[1,2,3,4,
5,7,8,10,12,14,16,18,19,21,30,32,33,34,35,38,40,47,51,54,58,72,73,80,83,85,95,
106,109,120,130,132,151,153,154,160,164,170,174,175,183,185,187,193,219,272,
279,300,303,345,349,351,435,458,467,483,717],[1,2,3,4,6,7,8,10,12,14,18,20,22,
26,34,35,36,37,40,41,44,46,52,55,56,72,76,83,84,97,99,100,104,118,119,124,135,
137,138,139,141,158,159,169,175,180,190,191,198,231,275,288,309,310,319,331,
333,393,426,486,491,718],[1,2,3,4,10,12,14,19,20,72,80,81,110,113,222,280,473,
509,512,719],[1,2,3,4,8,10,12,14,31,34,39,40,47,48,53,72,98,103,105,106,108,
120,125,145,157,161,189,271,276,348,550,720],[1,3,4,5,7,11,14,16,18,19,23,30,
33,35,38,48,73,80,83,90,93,154,164,177,189,201,216,273,279,320,413,433,721],[
1,3,6,7,8,10,18,19,20,22,34,40,44,45,52,53,69,96,97,100,101,103,104,108,110,
141,142,147,150,156,160,180,185,186,190,301,310,315,346,368,408,434,450,514,
722],[1,3,4,5,7,14,16,18,20,21,23,24,30,33,35,38,48,81,83,85,164,167,177,188,
189,201,208,216,278,308,330,413,469,723],[1,3,4,5,7,8,14,18,19,20,21,27,30,34,
35,40,45,58,78,81,83,85,96,101,111,115,132,137,141,151,153,154,170,171,178,
183,186,188,278,287,297,446,452,468,483,487,515,724],[1,3,4,7,8,14,16,18,19,
29,35,39,42,47,53,73,80,83,125,154,162,199,203,214,220,223,279,339,347,361,
369,725],[1,2,3,4,5,10,12,14,16,21,29,30,32,33,38,48,72,73,85,94,95,109,130,
164,189,221,224,272,281,320,449,504,726],[1,3,4,8,14,16,29,34,40,47,48,73,94,
106,120,132,175,189,281,320,349,727],[1,2,3,4,5,10,11,12,13,14,15,17,19,20,21,
23,29,32,33,38,42,70,72,80,81,82,92,93,94,109,110,112,113,116,162,172,182,270,
280,293,294,316,328,336,728],[1,3,4,5,6,14,19,21,22,30,36,60,80,84,85,181,237,
274,424,729],[1,2,3,4,5,6,8,10,12,14,15,17,19,21,22,23,24,30,32,33,34,36,38,
40,46,47,55,57,71,75,80,82,84,85,92,95,106,109,120,136,139,143,151,160,170,
173,174,176,180,181,194,196,205,208,274,291,296,302,343,345,351,363,447,481,
506,730],[1,3,5,6,7,8,10,18,19,21,22,26,34,40,45,52,57,71,76,96,100,101,103,
107,119,131,136,143,147,155,159,160,170,173,180,181,183,191,315,333,344,363,
399,411,439,463,503,731],[1,3,4,5,7,8,14,18,20,21,29,30,35,39,42,47,53,81,83,
85,125,162,188,199,204,212,214,229,278,298,327,369,451,732],[1,2,3,4,6,7,8,10,
12,14,18,19,22,27,34,35,36,37,40,41,45,51,52,54,56,72,78,83,84,96,99,100,101,
111,115,124,131,132,138,147,154,158,159,160,171,174,185,187,215,238,275,286,
287,297,314,315,334,387,394,435,494,733],[1,2,3,4,5,8,13,14,15,16,23,32,34,40,
47,48,73,88,89,106,112,120,132,175,189,207,211,268,320,349,359,396,734],[1,2,
3,4,5,8,10,11,12,13,14,15,17,21,23,31,32,33,34,38,39,47,48,53,70,72,82,92,93,
105,108,109,112,120,125,145,157,161,172,189,207,210,211,235,270,271,348,359,
378,386,471,498,502,735],[1,3,4,5,8,11,14,16,23,29,30,33,34,38,40,47,73,90,93,
94,106,120,132,164,175,177,204,223,273,281,349,392,462,736],[1,2,3,4,5,7,8,10,
12,14,15,17,18,20,21,23,24,30,32,33,34,35,38,40,47,51,54,58,71,75,81,82,83,85,
92,95,106,109,120,135,136,148,153,168,176,183,185,187,188,190,193,194,208,219,
278,300,302,303,304,341,343,375,376,489,493,737],[1,3,4,8,14,16,34,40,42,47,
48,73,106,116,120,132,175,189,277,320,349,738],[1,3,4,7,14,16,18,19,35,73,80,
83,154,225,279,492,739],[1,3,4,5,6,7,8,11,14,20,23,29,33,35,36,38,39,41,46,47,
48,51,52,53,57,58,81,93,94,124,125,127,161,196,197,199,210,211,219,229,230,
247,293,327,356,360,364,378,466,740],[1,3,4,5,6,7,11,14,19,23,29,33,35,36,38,
41,42,48,52,80,93,116,124,128,129,133,161,162,165,179,217,221,233,328,339,355,
374,380,389,443,741],[1,2,3,4,5,6,7,13,14,15,19,23,29,32,35,36,41,42,48,52,80,
94,112,124,140,144,146,152,161,162,184,202,224,233,336,339,355,358,377,397,
422,742],[1,2,3,4,5,11,12,14,16,20,21,23,24,29,30,32,33,38,40,48,81,87,89,90,
93,94,106,109,122,130,135,164,167,168,177,189,208,221,224,293,304,448,449,461,
462,469,743],[1,3,6,7,8,10,18,19,22,34,40,45,52,60,96,100,101,103,147,160,237,
315,373,437,744],[1,3,4,5,6,7,8,11,14,16,23,29,30,33,35,36,38,39,41,42,46,47,
48,51,52,53,57,58,73,90,93,124,125,127,128,129,133,161,162,164,165,177,192,
196,197,201,210,211,217,219,220,221,223,247,273,361,364,374,378,416,443,521,
534,541,566,745],[1,3,5,6,7,8,18,19,20,21,22,24,34,40,45,56,57,58,75,96,104,
111,114,115,117,136,137,138,141,143,148,150,151,153,155,156,159,168,170,173,
176,178,181,183,186,188,191,375,384,400,402,412,417,442,444,446,463,478,487,
506,513,746],[1,2,3,4,5,6,7,8,13,14,15,18,23,28,29,32,35,36,39,41,42,47,49,50,
52,53,54,55,57,58,83,94,112,124,125,140,144,146,149,152,162,163,165,184,193,
197,199,200,205,209,214,230,233,244,306,311,356,369,397,407,422,482,517,533,
557,747],[1,2,3,4,5,6,7,8,11,13,14,15,17,21,23,24,29,30,32,33,35,36,38,39,41,
42,47,48,52,53,54,55,57,58,85,87,93,112,124,125,128,129,133,134,161,162,163,
165,166,167,193,194,197,202,204,205,210,211,212,216,218,224,244,337,358,374,
378,379,407,451,520,535,545,546,748],[1,2,3,4,5,6,7,8,12,17,18,21,22,23,31,34,
37,39,41,57,58,59,60,82,99,105,153,173,195,197,213,226,227,228,234,237,295,
383,431,572,749],[1,2,3,4,5,6,7,8,11,13,14,15,17,21,23,24,29,30,32,33,35,36,
38,39,41,42,46,47,48,51,52,53,57,58,85,87,93,112,124,125,127,134,140,146,152,
161,162,166,167,184,194,196,197,204,207,212,216,217,218,219,221,235,247,337,
364,379,397,443,451,471,525,528,532,536,750],[1,2,3,4,5,6,10,12,13,14,15,16,
17,21,22,23,24,30,32,33,36,38,40,42,48,84,92,95,106,112,116,129,130,143,152,
164,172,180,189,192,194,208,218,296,317,382,396,428,432,511,751],[1,3,5,6,7,8,
10,18,19,20,21,22,34,40,43,53,56,57,58,71,86,101,102,104,108,110,114,136,138,
141,142,147,148,150,151,153,155,160,168,170,171,173,176,178,180,181,185,186,
188,190,191,323,357,363,365,376,384,400,408,445,465,478,479,507,514,515,752],[
1,3,4,5,6,7,8,11,14,18,23,28,29,33,35,36,38,39,41,42,46,47,49,50,51,52,53,57,
58,83,93,116,124,125,127,128,129,133,140,149,162,165,179,196,197,199,200,206,
209,214,219,233,247,306,324,364,369,374,380,395,414,538,540,557,753],[1,3,4,5,
6,7,8,11,14,19,23,33,35,36,38,39,41,42,46,47,48,51,52,53,57,58,80,93,116,124,
125,127,161,196,197,203,206,210,211,214,219,247,328,347,355,364,372,378,414,
754],[1,2,3,4,5,6,7,8,10,12,14,15,17,18,19,20,21,22,23,24,30,32,33,34,38,40,
46,51,52,53,54,55,57,58,71,75,82,85,92,95,100,103,108,109,110,132,135,136,139,
143,148,151,153,154,168,169,170,173,174,175,176,181,183,187,188,194,208,244,
247,323,343,344,370,375,391,436,440,447,458,464,472,483,489,506,755],[1,2,3,4,
5,6,7,8,10,12,15,18,19,20,21,22,31,34,38,39,40,43,44,45,46,51,52,53,54,55,56,
57,58,86,92,96,97,100,101,102,105,108,113,114,118,137,138,139,147,148,150,151,
153,156,160,173,174,176,178,180,181,187,190,191,244,245,247,249,315,318,365,
368,370,393,420,423,442,454,465,480,481,485,507,756],[1,2,3,4,5,6,7,8,10,12,
15,18,20,21,22,27,34,37,38,40,41,45,46,51,52,53,54,55,56,57,58,78,92,96,98,99,
100,108,111,118,135,136,137,138,139,141,142,143,153,155,156,159,171,173,180,
183,185,187,188,190,191,215,238,244,247,314,334,357,370,381,393,401,402,450,
463,468,491,493,495,505,757],[1,3,4,5,6,8,11,14,22,23,29,33,36,38,39,42,47,48,
53,84,93,94,125,133,146,161,162,206,210,211,217,221,230,312,342,377,378,403,
443,466,758],[1,3,4,6,7,8,14,16,29,35,36,39,41,42,47,48,52,53,73,94,124,125,
144,161,162,192,199,201,220,223,230,233,281,356,361,377,416,422,466,759],[1,3,
4,6,7,14,20,22,25,26,35,36,41,49,50,52,60,76,84,104,118,124,126,169,209,236,
237,239,243,289,331,424,537,558,760],[1,3,4,5,6,7,11,14,20,23,29,33,35,36,38,
41,42,48,52,81,93,94,124,128,129,133,144,161,162,165,217,221,233,293,298,360,
374,377,422,443,761],[1,2,3,4,6,7,8,12,18,22,25,27,28,34,35,36,37,41,45,49,50,
51,52,54,56,59,78,96,99,121,123,126,138,149,158,187,195,200,209,215,228,234,
236,238,242,246,248,250,334,390,431,516,526,527,555,573,762],[1,2,3,4,6,7,8,
12,18,22,25,26,28,34,35,36,37,41,44,46,49,50,52,55,56,60,76,97,99,121,123,126,
138,139,149,158,198,200,209,226,227,231,236,237,239,240,241,243,309,383,390,
523,529,537,562,571,763],[1,2,3,4,6,7,8,11,12,13,18,22,25,28,29,31,34,35,36,
37,39,41,42,46,49,50,51,52,54,55,70,99,105,121,123,126,127,128,133,139,144,
149,152,158,163,179,182,184,187,199,200,206,209,214,230,232,233,236,335,366,
385,390,395,429,430,482,533,540,552,764],[1,3,5,6,7,10,18,21,22,40,52,59,60,
71,100,103,143,183,195,237,344,373,438,765],[1,3,6,7,10,18,22,27,40,52,60,78,
100,103,111,159,185,237,314,373,437,766],[1,3,4,5,8,10,11,14,16,19,21,23,24,
30,33,34,38,42,47,48,80,93,95,116,120,151,160,164,189,208,210,212,220,235,284,
328,351,382,433,502,508,767],[1,2,3,4,5,7,8,10,12,15,18,19,20,21,31,34,38,39,
40,51,54,79,92,101,103,105,110,113,114,117,135,136,137,141,142,148,150,151,
155,156,160,168,170,171,174,178,185,186,187,188,190,307,313,412,423,434,440,
454,455,457,478,493,496,501,514,515,768],[1,3,4,6,7,8,14,16,29,35,36,39,41,42,
47,48,52,53,73,116,124,125,161,162,179,192,201,206,214,220,223,233,277,361,
372,380,389,414,416,769],[1,3,4,5,6,7,8,14,21,29,30,35,36,39,41,42,47,48,52,
53,85,94,116,124,125,144,161,162,204,206,212,214,216,218,233,329,379,389,414,
422,451,466,770],[1,2,3,4,6,7,8,10,12,14,18,19,20,22,34,40,46,51,54,55,72,91,
98,103,106,107,111,117,119,131,132,135,137,139,142,150,154,155,156,159,160,
169,171,174,175,180,185,186,187,190,191,276,404,409,410,411,419,421,434,435,
476,486,495,496,497,505,771],[1,2,3,4,5,6,7,8,12,17,18,19,20,21,22,23,34,40,
46,51,54,55,82,91,98,101,104,107,113,117,131,135,136,137,139,142,143,148,150,
151,156,159,168,170,171,174,176,178,181,183,186,187,188,191,305,367,384,412,
417,423,439,447,460,477,484,489,495,497,515,772],[1,2,3,4,5,6,7,13,14,15,20,
23,29,32,35,36,41,42,48,52,81,112,116,124,140,146,152,161,162,179,184,202,224,
233,294,298,358,360,380,389,397,773],[1,2,3,4,5,6,7,8,12,14,18,19,20,21,22,32,
33,34,37,40,41,51,54,77,80,99,101,106,107,109,111,113,115,131,137,147,150,151,
154,159,169,170,171,174,175,178,181,183,186,187,188,286,290,325,345,394,404,
415,418,419,423,439,458,470,487,515,774],[1,2,3,4,5,6,8,10,12,15,19,20,21,22,
31,34,38,39,40,46,55,77,92,102,103,104,105,107,110,113,131,135,139,142,147,
148,150,151,155,156,160,168,170,174,176,178,180,181,186,190,191,325,338,367,
384,408,411,415,434,440,454,455,477,479,480,481,775],[1,3,4,5,6,7,8,14,21,29,
30,35,36,39,41,42,47,48,52,53,85,94,116,124,125,161,162,179,199,204,212,216,
218,230,233,329,356,372,377,379,380,451,776],[1,2,3,4,5,6,7,8,12,14,18,19,20,
21,22,26,32,33,34,36,37,40,41,44,46,47,55,56,57,76,84,97,99,104,109,113,114,
118,120,131,132,135,138,139,141,142,143,147,148,154,159,169,173,178,181,188,
191,196,198,205,231,291,309,318,331,354,367,381,399,400,420,436,441,470,491,
494,777],[1,2,3,4,5,6,7,8,13,14,15,22,23,25,29,32,35,36,39,41,42,47,49,50,52,
53,54,55,57,58,84,112,116,124,125,126,129,140,146,152,162,163,179,184,193,197,
205,206,209,214,230,233,236,244,289,317,380,397,403,407,414,429,533,538,539,
778],[1,2,3,4,5,6,7,8,13,14,15,20,23,32,35,36,39,41,42,47,48,52,53,54,55,57,
58,81,112,116,124,125,161,163,193,197,205,206,207,214,229,235,244,294,327,360,
372,407,414,471,779],[1,3,4,6,14,20,22,26,36,48,60,76,84,104,118,161,169,237,
312,331,424,780],[1,2,3,4,5,6,7,8,13,14,15,16,23,29,32,35,36,39,41,42,47,48,
52,53,54,55,57,58,73,88,89,112,124,125,140,146,152,161,162,163,184,192,193,
197,201,202,205,207,220,223,224,235,244,268,358,361,397,407,416,471,522,544,
547,548,781],[1,3,4,5,6,7,8,11,14,22,23,25,29,33,35,36,38,39,41,42,46,47,49,
50,51,52,53,57,58,84,93,94,124,125,126,127,128,129,133,144,146,162,165,196,
197,199,206,209,219,230,233,236,247,289,342,356,364,366,374,403,422,517,539,
540,782],[1,3,4,5,6,7,8,10,14,18,19,20,21,22,34,38,40,45,47,52,56,58,77,80,95,
96,100,101,102,110,115,120,131,138,141,147,150,151,153,154,160,169,170,171,
175,178,181,185,186,188,290,315,338,351,365,387,405,415,418,441,446,467,472,
514,515,783],[1,3,4,5,6,7,8,10,14,18,19,20,21,22,27,34,35,38,40,52,56,58,78,
83,95,100,101,106,107,110,111,115,131,137,138,141,150,153,154,159,160,169,170,
171,175,181,183,185,186,188,287,300,314,350,387,404,419,426,439,444,467,468,
472,487,514,784],[1,3,5,6,7,8,18,19,20,21,22,24,34,40,44,56,57,58,75,97,101,
102,107,118,119,131,136,138,142,143,147,148,151,153,155,156,159,168,170,171,
173,176,178,181,183,186,188,365,375,381,388,420,427,439,474,475,477,479,503,
506,515,785],[1,3,4,5,6,7,8,10,14,18,20,21,22,34,35,38,40,45,53,56,57,83,91,
95,96,103,106,108,111,117,119,132,136,137,138,141,142,155,156,159,168,169,171,
173,175,176,180,183,185,190,191,297,300,357,362,410,421,426,450,463,464,474,
476,484,496,513,786],[1,2,3,4,5,12,13,14,15,16,17,20,21,23,24,30,32,33,38,40,
42,48,81,88,106,109,112,116,122,134,135,164,166,168,172,177,189,194,202,217,
294,304,396,425,459,469,511,787],[1,2,3,4,6,7,12,18,20,22,29,37,40,41,42,59,
99,104,119,135,137,144,179,182,195,228,233,234,288,430,431,788],[1,3,4,5,6,10,
11,14,16,21,22,23,24,29,30,33,36,38,40,48,84,93,94,95,106,133,143,146,164,180,
189,192,208,218,284,296,342,428,448,462,504,789],[1,3,5,8,10,19,20,21,34,53,
71,108,110,148,151,222,225,323,490,512,790],[1,2,3,4,6,7,12,18,20,22,25,28,35,
36,37,40,41,49,50,52,60,99,104,119,121,123,126,135,137,149,158,200,209,226,
227,236,237,288,383,390,518,558,791],[1,2,3,4,5,6,7,8,12,14,18,19,21,22,31,32,
33,34,36,39,40,43,44,45,46,47,51,54,55,56,57,84,86,96,97,98,102,105,109,119,
120,131,132,136,138,139,147,150,151,154,155,156,159,171,173,174,175,176,183,
187,191,196,205,245,249,291,319,388,405,406,409,456,458,463,465,474,480,485,
494,495,792],[1,2,3,4,5,6,8,11,12,14,16,21,22,23,24,29,30,32,33,34,36,38,46,
47,48,55,57,84,87,89,90,93,94,109,120,122,130,133,139,146,164,167,173,177,189,
192,196,204,205,208,210,218,221,223,224,235,291,342,392,428,449,461,502,521,
528,544,545,793],[1,2,3,4,6,8,12,19,20,22,34,46,48,55,113,114,118,139,145,147,
225,318,488,500,794],[1,2,3,4,5,6,8,12,13,14,15,16,17,21,22,23,24,30,32,33,34,
36,38,42,46,47,48,55,57,84,88,109,112,116,120,122,129,134,139,152,164,166,172,
173,177,189,192,194,196,202,205,207,211,212,217,218,220,291,317,359,425,428,
459,508,522,525,541,546,795],[1,2,3,4,5,6,7,8,12,14,18,20,21,22,31,32,33,34,
35,39,40,43,44,45,46,47,51,54,55,56,58,83,86,96,97,98,105,109,111,114,120,132,
135,136,137,138,139,141,142,143,148,153,155,156,159,169,171,175,176,187,191,
193,219,245,249,297,303,354,402,406,426,436,442,445,456,457,475,485,495,505,
796],[1,3,4,6,7,14,18,19,27,28,35,36,41,49,50,52,59,78,83,101,115,124,149,154,
195,200,209,242,248,287,306,398,526,554,797],[1,3,4,6,7,8,14,18,28,34,35,36,
40,41,45,49,50,52,59,83,96,111,124,132,149,171,195,200,209,246,250,297,306,
398,555,556,798],[1,2,3,4,5,8,11,13,14,15,17,21,23,24,30,32,33,34,38,40,47,48,
85,87,93,106,112,120,134,136,166,167,176,189,194,207,210,211,235,302,330,337,
359,396,448,502,799],[1,2,3,4,5,7,8,13,14,15,18,23,29,32,35,39,42,47,48,53,83,
94,112,125,161,162,165,184,199,202,207,214,224,235,311,322,358,369,377,466,
471,800],[1,2,3,4,5,6,7,8,12,14,18,19,20,21,22,32,33,34,37,40,41,46,55,79,81,
99,104,106,109,113,117,118,119,131,132,135,137,139,141,142,143,148,154,159,
168,169,178,181,186,188,191,288,299,304,307,367,384,417,419,421,427,436,452,
470,491,501,801],[1,3,8,10,19,20,34,53,69,108,110,160,190,222,225,346,490,512,
802],[1,2,3,4,5,8,10,12,13,14,15,16,17,19,21,23,24,29,30,32,33,34,38,47,48,80,
92,94,95,112,120,130,151,160,164,172,189,194,204,207,208,211,223,336,351,359,
392,432,433,504,803],[1,2,3,4,5,6,7,8,10,12,15,18,19,20,21,22,34,37,38,40,41,
46,55,91,92,98,99,101,103,107,110,111,117,118,119,131,135,139,141,143,150,155,
159,160,168,170,174,176,180,181,183,185,186,191,286,292,401,409,410,411,427,
439,440,460,481,491,497,513,514,804],[1,2,3,4,5,6,8,13,14,15,22,23,29,32,36,
39,42,47,48,53,84,112,116,125,129,152,161,162,202,206,207,224,230,235,312,317,
358,372,389,403,471,805],[1,2,3,4,11,12,13,19,20,40,70,98,113,135,174,222,225,
321,473,500,806],[1,3,4,8,14,19,34,39,40,47,53,80,102,107,125,132,150,203,225,
326,347,492,553,569,807],[1,3,4,5,8,10,11,14,16,20,21,23,24,29,30,33,34,38,47,
48,81,93,94,95,120,148,164,189,190,204,208,210,223,235,284,293,341,392,469,
502,504,808],[1,2,3,4,5,7,8,12,14,18,19,20,21,31,32,33,34,39,40,51,54,81,91,
98,105,106,107,109,111,114,117,132,135,136,137,141,142,150,151,154,155,156,
168,171,174,175,176,178,183,186,187,304,332,404,452,455,456,457,458,476,477,
478,484,497,505,513,809],[1,2,3,4,6,7,8,12,18,22,27,29,34,37,41,42,45,51,54,
56,60,78,96,99,138,144,179,182,187,215,226,227,233,237,238,334,383,430,543,
568,810],[1,2,3,4,6,7,12,18,19,22,29,37,40,41,42,60,99,101,111,131,144,174,
179,182,226,227,233,237,286,383,430,811],[1,2,3,4,5,6,7,8,12,14,18,19,20,21,
22,27,32,33,34,35,37,40,41,45,47,51,54,56,58,78,83,96,99,101,102,109,113,115,
120,137,138,141,147,150,151,153,154,159,169,171,174,175,178,181,183,187,188,
193,215,219,238,287,303,334,340,365,394,405,423,426,441,444,446,458,468,470,
812],[1,2,3,4,5,6,7,8,10,12,15,18,19,20,21,22,34,37,38,40,41,51,54,91,92,98,
99,103,104,107,110,111,115,117,119,135,136,137,142,143,147,155,159,168,170,
171,174,180,183,185,186,187,188,190,288,350,394,401,408,410,417,440,484,487,
493,496,497,503,505,813],[1,3,4,5,6,7,8,10,14,18,19,21,22,34,36,38,40,44,53,
56,58,84,91,95,97,103,106,107,108,111,119,131,132,136,138,143,147,150,153,154,
155,156,159,160,170,171,175,176,180,185,191,296,319,357,368,402,404,410,411,
460,464,467,475,476,494,503,814],[1,2,3,4,5,8,10,12,13,14,15,16,17,20,21,23,
24,30,32,33,34,38,42,47,48,81,92,95,112,116,120,130,148,164,172,189,190,194,
207,208,211,212,220,294,341,359,382,432,469,508,815],[1,2,3,4,12,19,20,40,48,
77,107,113,145,174,186,222,325,473,488,816],[1,2,3,4,5,6,7,8,13,14,15,19,23,
29,32,35,36,39,41,47,48,52,53,54,55,57,58,80,94,112,124,125,161,163,193,197,
199,203,205,207,230,235,244,336,347,355,356,407,466,471,817],[1,3,6,10,19,20,
22,40,110,117,118,131,180,225,283,292,490,818],[1,3,4,7,8,14,18,19,39,47,53,
77,80,101,115,125,154,203,225,290,347,492,524,565,819],[1,2,3,4,5,6,7,8,10,12,
15,18,19,21,22,26,34,37,38,40,41,44,46,51,52,53,54,55,56,57,58,76,92,97,98,99,
100,108,115,119,131,138,139,143,147,150,153,155,156,159,160,171,173,174,176,
180,181,183,185,187,191,198,231,244,247,309,333,357,368,370,387,394,399,401,
409,444,474,475,481,495,820],[1,2,3,4,5,6,7,8,10,12,15,18,19,20,21,22,31,34,
38,39,40,43,44,45,46,51,52,53,54,55,56,57,58,86,92,96,97,100,102,104,105,108,
113,114,115,131,135,136,138,139,141,142,148,151,153,156,160,171,173,178,185,
187,188,190,244,245,247,249,310,340,367,370,387,388,400,445,446,450,454,457,
485,493,507,821],[1,2,3,4,5,6,7,8,10,12,14,15,18,19,20,21,22,34,38,40,46,51,
52,53,54,55,57,58,69,71,72,92,95,100,103,108,110,132,135,136,139,153,154,160,
168,169,170,173,174,175,176,180,181,185,187,188,190,244,247,267,301,346,362,
363,370,376,435,440,464,467,472,481,486,493,822],[1,3,7,10,18,19,20,40,107,
110,115,137,185,222,283,350,512,823],[1,2,3,4,5,7,8,11,12,14,16,18,21,23,24,
30,32,33,34,35,38,42,47,48,51,54,58,83,87,89,90,93,109,116,120,122,128,130,
140,153,164,167,177,187,189,193,201,202,208,210,212,216,217,219,220,235,303,
324,413,459,461,502,508,520,536,547,566,824],[1,3,6,7,8,10,18,20,22,25,28,34,
44,49,50,52,60,97,100,104,141,190,200,236,237,240,241,282,310,373,523,558,
825],[1,3,6,7,10,18,22,25,27,28,40,49,50,52,59,78,100,111,159,185,195,200,236,
242,248,282,314,438,526,556,826],[1,2,3,4,5,11,12,14,16,19,21,23,24,30,32,33,
38,40,42,48,80,87,89,90,93,106,109,116,122,130,164,167,170,174,177,189,202,
208,217,328,345,433,448,459,461,511,827],[1,3,4,5,7,8,11,14,18,23,29,33,35,38,
39,42,47,48,53,83,93,116,125,128,140,161,162,199,210,211,214,217,221,322,324,
369,372,378,389,443,828],[1,3,6,7,8,10,18,19,22,25,28,34,45,49,50,52,59,96,
100,101,147,160,195,200,236,246,250,282,315,438,554,555,829],[1,2,3,4,5,6,7,8,
12,17,18,19,20,21,22,23,31,34,37,39,40,41,43,44,45,46,51,54,55,56,57,58,82,86,
96,97,99,105,115,118,135,136,138,139,141,142,143,147,148,150,151,153,155,159,
171,173,174,176,178,181,183,187,188,191,197,213,245,249,295,381,394,420,444,
445,446,447,455,463,465,475,485,489,491,830],[1,3,8,10,19,20,34,79,110,114,
178,190,225,283,313,490,831],[1,2,3,4,5,6,7,8,10,11,12,13,14,15,17,18,19,20,
21,22,23,31,32,33,34,37,38,39,40,41,46,51,54,55,70,72,82,92,93,98,99,105,109,
112,113,127,132,135,136,139,143,148,151,154,160,163,169,172,174,175,176,180,
181,183,185,187,188,190,232,270,321,335,401,435,436,447,454,456,458,470,481,
486,489,493,832],[1,3,4,5,6,7,8,10,14,18,19,20,21,22,34,38,40,44,47,52,56,57,
79,81,95,97,100,104,110,114,118,120,132,137,138,141,142,147,148,154,168,169,
173,178,180,181,186,188,190,191,299,310,313,341,354,362,384,393,400,408,420,
441,452,472,501,833],[1,3,4,5,7,10,11,14,16,18,21,23,24,30,33,35,38,40,42,48,
83,93,95,106,116,128,140,164,183,185,189,201,208,216,284,300,324,382,413,448,
511,834],[1,3,4,6,8,14,20,22,39,47,53,79,81,104,118,125,169,222,229,299,327,
509,549,563,835],[1,2,3,4,6,7,8,10,12,14,18,19,20,22,31,34,39,40,43,44,45,46,
47,51,53,54,55,56,72,86,96,97,102,105,108,114,120,125,132,135,138,139,141,142,
147,150,154,155,156,157,160,169,171,174,175,178,180,185,187,190,191,245,249,
271,354,357,368,405,406,435,441,450,455,457,480,485,486,507,836],[1,3,4,5,6,8,
10,14,19,20,21,22,34,38,40,43,44,47,53,57,80,86,95,97,102,103,107,108,114,120,
131,132,136,142,147,150,151,155,156,160,168,169,173,175,176,178,180,186,190,
191,326,351,354,362,368,388,406,411,418,434,464,465,477,478,507,837],[1,3,4,7,
14,18,19,27,35,48,59,78,83,101,115,154,161,195,287,322,398,838],[1,3,4,7,8,14,
18,34,35,40,45,48,59,83,96,111,132,161,171,195,297,322,398,839],[1,3,4,8,14,
20,29,34,40,42,81,114,117,142,162,175,222,298,332,509,840],[1,2,3,4,5,7,10,12,
13,14,15,16,17,18,21,23,24,29,30,32,33,35,38,40,48,83,92,94,95,106,112,130,
164,165,172,183,184,185,189,194,201,208,216,300,311,396,413,432,462,504,841],[
1,2,3,4,5,6,7,8,10,12,14,15,17,18,19,20,21,22,23,24,30,31,32,33,34,37,38,39,
40,41,57,58,71,75,82,85,92,95,98,99,105,109,113,132,136,143,148,151,153,154,
160,168,169,170,173,175,176,180,181,183,185,188,190,194,197,208,213,295,305,
343,362,363,375,376,391,401,454,456,467,470,483,506,842],[1,3,4,5,6,7,8,14,18,
19,20,21,22,30,34,40,43,47,56,57,58,85,86,106,107,111,117,119,120,132,136,138,
141,142,143,147,148,150,151,153,154,155,156,168,169,170,171,173,175,176,178,
183,191,302,391,402,404,406,412,421,441,445,465,474,477,483,503,513,843],[1,2,
3,4,8,11,12,13,19,20,31,40,47,48,53,70,98,113,135,145,157,174,203,207,210,229,
321,386,488,499,550,844],[1,3,4,5,6,7,8,10,14,18,19,20,21,22,26,34,36,38,40,
52,56,57,76,84,95,100,104,106,110,117,118,119,131,132,137,138,142,143,147,154,
159,168,169,173,180,181,186,188,190,191,292,296,331,333,362,381,393,399,408,
417,419,421,427,472,494,845],[1,3,6,7,10,18,22,40,52,59,60,69,100,103,180,185,
195,237,301,373,438,846],[1,2,3,4,6,7,12,18,19,22,25,28,35,36,37,40,41,49,50,
52,59,99,101,111,121,123,126,131,149,158,174,195,200,209,228,234,236,286,390,
431,554,556,847],[1,3,4,6,14,20,22,29,42,79,81,104,118,162,169,222,298,299,
509,848],[1,2,3,4,6,7,8,12,18,22,26,29,34,37,41,42,44,46,55,56,59,76,97,99,
138,139,144,179,182,195,198,228,231,233,234,309,430,431,542,567,849],[1,3,7,8,
10,18,19,20,34,40,53,107,108,110,115,137,185,203,225,229,350,490,510,553,565,
850],[1,3,4,6,8,14,22,34,36,40,44,48,60,84,97,119,161,175,191,237,312,319,424,
851],[1,3,4,5,6,7,8,14,18,19,20,21,22,30,34,40,44,45,47,57,58,85,91,96,97,102,
106,114,120,131,132,136,137,142,143,148,150,151,153,154,155,156,159,168,169,
170,171,173,175,176,183,186,191,302,354,388,391,405,419,442,460,463,475,476,
478,479,483,484,852],[1,2,3,4,8,12,19,20,31,40,47,53,79,113,117,135,157,186,
203,222,229,307,473,499,549,564,853],[1,2,3,4,8,12,19,20,31,40,47,53,77,107,
113,157,174,186,203,225,229,325,499,500,524,553,854],[1,3,5,6,7,8,10,18,19,20,
21,22,34,40,52,56,57,58,71,91,100,103,111,115,118,119,131,136,137,138,142,143,
150,153,156,159,160,168,170,171,173,176,180,181,183,185,186,188,190,191,344,
363,376,381,387,393,402,410,427,434,444,460,474,484,487,855],[1,2,3,4,5,6,7,8,
12,17,18,21,22,23,25,28,29,31,34,35,36,37,39,41,42,49,50,52,57,58,82,99,105,
121,123,126,129,140,144,146,149,153,158,165,173,179,182,197,199,200,206,209,
213,214,230,233,236,295,371,390,430,517,538,539,552,557,856],[1,3,4,8,14,20,
34,39,40,47,53,81,114,117,125,142,175,222,229,327,332,509,564,570,857],[1,3,6,
7,10,18,22,26,40,52,59,76,100,103,119,159,180,195,333,437,438,858],[1,3,4,5,8,
14,16,21,23,24,29,30,33,34,38,40,42,47,85,94,106,116,120,136,164,167,176,177,
204,208,212,220,223,302,308,329,392,462,508,511,859],[1,2,3,4,6,8,12,19,20,22,
31,34,46,47,53,55,113,114,118,139,147,157,203,222,229,318,473,499,563,570,
860],[1,3,8,10,19,20,34,77,102,110,160,178,222,283,338,512,861],[1,2,3,4,5,10,
12,14,15,17,21,23,24,29,30,32,33,38,42,48,71,75,82,85,92,94,95,109,116,189,
194,202,208,217,221,224,329,330,343,382,449,459,504,862],[1,3,4,6,7,8,14,22,
25,34,35,36,40,41,44,49,50,52,60,84,97,119,124,126,175,191,209,236,237,240,
241,289,319,424,518,523,863],[1,3,6,7,8,10,18,20,22,34,40,44,52,59,97,100,103,
104,141,190,195,310,437,438,864],[1,3,6,7,10,18,22,25,26,28,40,49,50,52,60,76,
100,119,159,180,200,236,237,239,243,282,333,373,518,537,865],[1,3,4,5,7,8,10,
14,18,19,20,21,34,38,40,43,45,47,53,58,81,86,95,96,102,103,108,114,117,120,
132,136,137,141,142,148,150,153,154,155,156,160,170,171,175,176,178,185,186,
190,332,341,405,406,412,434,442,445,450,452,464,467,479,496,507,866],[1,2,3,4,
6,7,8,11,12,13,18,22,31,34,37,39,41,46,51,54,55,59,60,70,99,105,127,139,163,
187,195,226,227,228,232,234,237,335,383,431,519,559,867],[1,3,6,8,10,19,20,22,
34,40,53,108,110,117,118,131,180,203,222,229,292,510,512,563,564,868],[1,3,4,
8,14,19,29,34,40,42,80,102,107,132,150,162,225,326,339,492,869],[1,2,3,4,5,8,
12,17,19,20,21,23,31,40,47,48,53,82,98,113,145,157,168,170,203,211,229,235,
305,488,498,499,550,870],[1,2,3,4,7,8,12,18,19,20,31,34,47,51,53,54,102,113,
115,141,157,187,203,225,229,340,499,500,565,569,871],[1,2,3,4,5,7,8,12,13,14,
15,16,17,18,21,23,24,29,30,32,33,34,35,38,47,48,51,54,58,83,88,94,109,112,120,
122,134,153,164,165,166,172,177,184,187,189,193,194,201,204,207,211,216,219,
221,223,224,303,311,359,392,413,425,449,532,534,535,548,872],[1,2,3,4,5,12,17,
19,20,21,23,40,82,98,113,168,170,222,225,305,473,500,873],[1,2,3,4,7,8,12,18,
19,20,34,48,51,54,102,113,115,141,145,187,222,340,473,488,874],[1,2,3,4,12,19,
20,40,48,79,113,117,135,145,186,225,307,488,500,875],[1,2,3,4,5,6,8,12,14,19,
20,21,22,31,32,33,34,39,40,46,55,80,91,98,102,105,106,107,109,117,119,131,132,
135,136,139,142,143,147,148,150,155,156,169,170,174,175,176,178,186,191,326,
345,409,412,418,421,436,455,456,460,476,479,480,497,503,876],[1,3,4,7,14,18,
19,29,42,77,80,101,115,154,162,225,290,339,492,877],[1,3,8,10,19,20,34,53,79,
108,110,114,178,190,203,222,229,313,510,512,549,570,878],[1,3,8,10,19,20,34,
53,77,102,108,110,160,178,203,225,229,338,490,510,524,569,879],[1,2,3,4,5,12,
13,14,15,16,17,19,21,23,24,29,30,32,33,38,40,48,80,88,94,106,109,112,122,134,
164,166,170,172,174,177,189,194,221,224,336,345,396,425,433,449,462,880],[1,4,
6,7,8,11,26,27,28,35,39,41,42,43,44,45,46,49,51,56,59,60,127,128,149,179,198,
214,215,226,234,239,241,242,245,250,353,395,516,543,559,562,567,881],[1,2,4,6,
7,8,13,25,26,27,31,36,37,39,41,42,43,44,45,46,50,51,54,55,56,59,60,126,152,
163,179,198,206,215,226,231,232,234,238,240,243,245,246,248,249,429,519,527,
529,543,560,567,882],[1,2,3,4,5,6,7,8,11,12,13,15,16,17,29,30,31,32,33,35,36,
37,38,42,46,47,48,51,52,53,54,55,57,58,70,87,88,90,128,130,133,145,152,157,
158,166,172,182,184,192,193,196,201,202,204,205,207,210,212,213,216,217,218,
219,220,221,223,224,232,244,247,285,385,386,520,521,522,525,530,531,532,545,
548,551,561,566,883],[1,2,3,4,5,6,7,8,12,13,15,16,17,21,23,24,29,30,31,32,33,
35,36,37,38,42,46,47,48,51,52,53,54,55,57,58,82,89,129,130,134,140,145,146,
157,158,165,166,167,172,177,182,192,193,194,196,201,202,204,205,208,211,212,
213,216,217,218,219,220,221,223,224,232,235,244,247,371,453,498,528,530,531,
534,535,536,541,544,546,547,551,561,884],[1,4,6,7,8,11,25,26,27,29,36,39,41,
43,44,45,46,50,51,56,59,60,126,127,133,144,198,215,226,230,234,240,243,245,
246,248,353,366,527,529,542,559,568,885],[1,2,4,6,7,8,13,26,27,28,29,31,35,37,
39,41,43,44,45,46,49,51,54,55,56,59,60,144,149,163,184,198,199,215,226,231,
232,234,238,239,241,242,245,249,250,482,516,519,542,560,562,568,886],[1,3,4,5,
9,10,11,14,16,21,23,24,30,33,38,93,95,164,208,251,252,253,258,284,887],[1,3,9,
10,19,20,110,252,283,888],[1,3,6,7,9,10,18,22,25,28,49,50,52,100,200,236,252,
256,257,282,889],[1,4,6,7,8,9,11,26,27,39,41,43,44,45,46,51,56,127,198,215,
245,253,254,255,262,353,890],[1,2,3,4,5,9,10,12,14,15,21,38,62,63,65,69,71,72,
92,95,252,264,267,588,591,594,891],[1,4,5,6,8,9,11,16,29,33,36,46,47,48,57,61,
63,64,90,133,192,196,210,221,223,253,263,521,579,583,590,892],[1,2,4,5,6,8,9,
16,23,29,32,36,47,48,55,57,64,65,66,89,146,192,205,223,224,235,251,265,544,
575,578,587,893],[1,2,4,5,7,8,9,16,23,32,35,42,47,48,54,58,61,65,67,89,140,
193,201,202,220,235,251,266,547,578,581,582,894],[1,3,8,9,10,19,20,34,53,61,
62,66,69,108,110,160,190,252,260,346,585,586,591,895],[1,2,3,4,5,9,13,14,15,
16,23,32,62,63,65,73,88,89,112,251,264,268,576,578,584,896],[1,3,5,7,8,9,10,
18,20,21,34,40,58,63,66,67,71,153,168,176,185,188,190,252,261,376,586,588,592,
897],[1,2,4,5,7,8,9,13,16,29,32,35,47,48,54,58,63,66,67,88,184,193,201,207,
223,224,251,261,548,575,582,584,898],[1,2,3,4,6,7,9,11,12,13,29,35,36,37,42,
52,62,64,67,70,128,133,152,158,182,184,253,259,385,577,580,590,899],[1,2,4,5,
6,8,9,11,29,30,32,36,47,48,55,57,64,65,66,87,133,204,205,210,218,224,253,265,
545,589,590,593,900],[1,2,3,4,5,9,11,12,13,15,16,17,30,32,33,38,62,63,65,70,
87,88,90,130,166,172,253,264,285,577,579,589,901],[1,2,3,4,7,8,9,10,12,14,18,
19,34,40,51,54,61,65,67,72,132,154,160,174,185,187,252,266,435,585,592,594,
902],[1,4,5,7,8,9,11,16,33,35,42,47,48,51,58,63,66,67,90,128,201,210,217,219,
220,253,261,566,579,580,593,903],[1,2,3,4,8,9,11,12,13,31,47,48,53,61,62,66,
70,145,157,207,210,253,260,386,577,583,593,904],[1,3,5,6,8,9,10,19,21,22,34,
40,57,61,63,64,71,136,160,170,173,180,181,252,263,363,585,588,595,905],[1,2,3,
4,6,8,9,10,12,14,20,22,34,40,46,55,64,65,66,72,135,139,169,175,180,190,252,
265,486,586,594,595,906],[1,3,4,6,7,9,14,16,35,36,41,48,52,62,64,67,73,124,
161,192,201,251,259,416,576,582,587,907],[1,3,4,8,9,14,16,29,39,42,47,53,61,
62,66,73,125,162,220,223,251,260,361,575,576,581,908],[1,2,4,5,6,8,9,13,16,32,
36,42,47,48,55,57,61,63,64,88,152,192,202,205,207,220,251,263,522,581,584,587,
909],[1,2,4,5,7,8,9,11,30,32,35,42,47,48,54,58,61,65,67,87,128,193,202,210,
212,216,253,266,520,580,583,589,910],[1,3,6,7,9,10,18,22,40,52,62,64,67,69,
100,103,180,185,252,259,301,591,592,595,911],[1,3,6,7,9,18,27,28,49,50,52,59,
62,64,67,78,195,200,242,248,255,259,526,596,604,612,912],[1,3,6,7,9,22,25,26,
49,50,52,60,62,64,67,76,236,237,239,243,254,259,537,599,601,607,913],[1,2,6,7,
8,9,25,26,37,44,49,55,56,60,64,65,66,123,227,231,239,240,241,243,256,265,571,
597,602,606,914],[1,2,6,7,8,9,27,28,37,45,50,54,56,59,61,65,67,121,228,238,
242,246,248,250,257,266,573,605,608,609,915],[1,3,8,9,20,53,61,62,66,79,222,
229,260,549,610,916],[1,2,3,4,5,9,15,17,21,23,24,30,32,33,38,62,63,65,74,75,
122,134,167,194,208,258,264,352,598,600,603,917],[1,3,8,9,19,53,61,62,66,77,
203,225,260,524,611,918],[1,3,10,68,69,919],[1,5,24,68,74,920],[1,2,3,4,5,10,
11,12,13,14,15,16,17,21,23,24,30,32,33,38,69,70,71,72,73,74,75,82,85,87,88,89,
90,92,93,95,109,112,122,130,134,164,166,167,172,177,194,208,267,268,270,272,
273,284,285,308,337,343,352,425,432,453,461,618,621,648,654,921],[1,2,3,4,5,6,
13,14,15,16,20,22,23,26,32,36,42,73,76,79,81,84,88,89,104,112,116,118,129,152,
169,268,269,277,294,299,317,331,616,628,651,922],[1,2,3,4,5,7,13,14,15,16,18,
19,23,27,29,32,35,73,77,78,80,83,88,89,94,101,112,115,154,165,184,268,279,281,
287,290,311,336,619,630,633,923],[1,2,3,4,5,6,7,10,12,14,15,18,21,22,25,28,35,
36,37,38,40,41,49,50,52,69,71,72,83,84,92,95,98,99,100,103,106,121,123,124,
126,143,149,158,180,183,185,200,209,236,267,275,276,282,289,296,300,301,306,
344,390,401,437,617,637,652,655,656,924],[1,2,3,4,5,8,10,12,14,15,19,20,21,31,
34,38,39,47,53,69,71,72,80,81,92,95,105,108,110,113,120,125,148,151,157,160,
190,203,229,267,271,280,283,323,327,341,346,347,351,454,499,510,620,634,635,
653,657,925],[1,2,3,4,5,8,13,14,15,16,23,32,34,40,43,47,48,73,86,88,89,91,106,
112,120,132,155,156,175,189,207,211,268,320,349,359,396,406,476,626,678,734,
926],[1,2,3,4,5,10,12,14,15,21,29,38,42,48,69,71,72,92,94,95,116,145,161,162,
182,189,267,316,348,377,382,389,504,623,671,708,927],[1,2,3,4,5,6,8,13,14,15,
16,20,22,23,32,34,36,40,42,44,47,48,73,81,84,88,89,97,106,112,114,116,117,119,
120,129,132,142,152,169,175,189,191,207,211,268,269,277,294,317,319,320,332,
349,354,359,396,421,636,647,651,734,738,928],[1,2,3,4,5,7,8,13,14,15,16,18,19,
23,29,32,34,35,40,45,47,48,73,80,83,88,89,94,96,102,106,107,111,112,120,132,
150,154,165,171,175,184,189,207,211,268,279,281,297,311,320,326,336,349,359,
396,404,405,629,630,639,727,734,929],[1,3,4,5,7,8,11,14,16,18,19,23,29,30,33,
34,35,38,40,42,45,47,73,80,83,90,93,94,96,102,106,107,111,116,120,128,132,140,
150,154,164,171,175,177,204,223,273,277,279,281,297,324,326,328,349,392,404,
405,462,629,633,650,700,736,930],[1,2,3,4,5,8,10,11,12,13,14,15,17,19,20,21,
23,31,32,33,34,38,39,40,47,48,53,70,72,80,81,82,92,93,98,103,105,106,108,109,
110,112,113,120,125,135,145,157,161,168,170,172,174,189,203,207,210,211,229,
235,270,271,276,280,304,305,321,327,345,347,348,359,378,386,440,471,488,498,
499,502,510,550,635,641,646,720,735,844,870,931],[1,2,3,4,5,6,7,10,12,14,16,
18,19,20,21,22,30,32,33,35,36,37,38,41,52,72,73,80,81,83,84,85,95,99,100,109,
110,113,124,130,154,158,164,169,181,188,225,269,272,274,275,278,279,280,470,
472,490,492,500,638,663,705,739,932],[1,2,3,4,5,6,7,10,12,14,16,18,19,20,21,
22,30,32,33,35,36,37,38,41,42,48,52,72,73,80,81,83,84,85,95,99,100,109,110,
113,116,124,130,154,158,164,169,181,188,189,202,217,269,272,274,275,277,278,
279,280,320,382,459,470,472,628,636,638,691,709,933],[1,2,3,4,5,6,7,8,10,11,
12,13,14,15,16,17,18,19,20,21,22,23,24,30,31,32,33,34,35,36,37,38,39,40,41,46,
47,51,52,53,54,55,57,58,69,70,71,72,73,75,80,81,82,83,84,85,92,93,95,98,99,
100,103,105,106,108,109,110,112,113,120,124,125,127,130,132,135,136,139,143,
148,151,153,154,157,158,160,163,164,168,169,170,172,173,174,175,176,180,181,
183,185,187,188,190,193,194,196,197,205,208,213,219,232,244,247,267,269,270,
271,272,274,275,276,278,279,280,284,291,295,296,300,301,302,303,304,305,321,
323,335,341,343,344,345,346,349,351,362,363,364,370,375,376,391,401,407,432,
435,436,440,447,454,456,458,464,467,470,472,481,483,486,489,493,506,530,618,
634,638,640,641,642,652,673,717,730,737,755,822,832,842,934],[1,2,3,4,5,10,11,
12,13,14,15,17,19,20,21,23,29,32,33,38,40,42,70,72,80,81,82,92,93,94,98,103,
106,109,110,112,113,116,135,162,168,170,172,174,182,270,276,280,283,293,294,
298,304,305,316,321,328,336,339,345,440,620,632,641,688,728,935],[1,2,3,4,5,6,
7,10,12,14,16,18,19,20,21,22,25,28,30,32,33,35,36,37,38,41,48,49,50,52,72,73,
80,81,83,84,85,95,99,100,109,110,113,121,123,124,126,130,145,149,154,158,161,
164,169,181,188,189,192,200,201,209,216,218,236,269,272,274,275,278,279,280,
282,289,306,312,322,348,355,360,379,390,413,416,428,470,472,531,617,638,649,
674,675,687,692,695,703,936],[1,2,3,4,5,6,7,10,12,14,15,18,21,22,29,35,36,37,
38,40,41,42,48,52,69,71,72,83,84,92,94,95,98,99,100,103,106,116,124,143,144,
145,158,161,162,179,180,182,183,185,189,233,267,275,276,296,300,301,312,316,
322,344,348,380,382,401,422,430,504,645,649,652,671,713,937],[1,2,3,4,5,6,7,
10,12,14,16,18,19,20,21,22,30,32,33,35,36,37,38,41,48,52,72,73,80,81,83,84,85,
95,99,100,109,110,113,124,130,145,154,158,161,164,169,181,188,189,269,272,274,
275,278,279,280,283,348,355,360,433,469,470,472,488,620,638,646,695,699,938],[
1,2,3,4,5,6,7,10,12,14,16,18,19,20,21,22,29,30,32,33,35,36,37,38,40,41,42,52,
72,73,80,81,83,84,85,94,95,98,99,100,103,106,109,110,113,116,124,130,144,154,
158,162,164,169,179,181,182,188,233,269,272,274,275,276,278,279,280,316,380,
422,430,437,462,470,472,511,637,638,645,688,714,939],[1,2,3,4,5,8,10,11,12,13,
14,15,16,17,21,23,24,30,31,32,33,34,38,39,40,47,48,53,70,72,73,82,85,87,88,89,
90,92,93,95,98,103,105,106,108,109,112,120,122,125,130,132,134,136,145,157,
161,164,166,167,172,175,176,177,189,194,207,208,210,211,235,268,270,271,272,
273,276,285,302,320,330,337,348,349,359,378,386,396,425,432,448,453,456,461,
464,471,498,502,640,643,648,710,716,734,735,799,940],[1,2,3,4,5,6,7,10,12,14,
16,18,19,20,21,22,30,32,33,35,36,37,38,41,52,59,72,73,80,81,83,84,85,95,99,
100,109,110,113,124,130,154,158,164,169,181,188,195,228,234,269,272,274,275,
278,279,280,398,431,438,470,472,638,660,664,711,941],[1,2,3,4,5,6,7,8,10,12,
14,16,18,19,20,21,22,27,30,32,33,34,35,36,37,38,40,41,45,47,51,52,54,56,58,72,
73,77,78,80,81,83,84,85,95,96,99,100,101,102,106,107,109,110,111,113,115,120,
124,130,131,132,137,138,141,147,150,151,153,154,158,159,160,164,169,170,171,
174,175,178,181,183,185,186,187,188,193,215,219,238,269,272,274,275,278,279,
280,286,287,290,297,300,303,314,315,325,326,334,338,340,345,349,350,351,365,
387,394,404,405,415,418,419,423,426,435,439,441,444,446,452,458,467,468,470,
472,483,487,494,514,515,619,629,638,669,679,707,717,724,733,774,783,784,812,
942],[1,2,3,4,5,8,10,11,12,14,16,21,23,24,29,30,31,32,33,34,38,39,40,42,47,53,
72,73,85,87,89,90,93,94,95,98,103,105,106,108,109,116,120,122,125,130,132,136,
157,162,164,167,175,176,177,182,204,208,212,220,223,271,272,273,276,277,281,
284,302,308,316,329,349,361,392,451,456,461,462,464,508,511,551,621,640,644,
698,704,714,736,859,943],[1,2,3,4,5,6,7,10,12,14,16,18,19,20,21,22,30,32,33,
35,36,37,38,41,52,60,72,73,80,81,83,84,85,95,99,100,109,110,113,124,130,154,
158,164,169,181,188,226,227,237,269,272,274,275,278,279,280,373,383,424,470,
472,638,689,706,729,944],[1,2,3,4,5,8,10,12,14,15,19,20,21,29,31,34,38,39,42,
47,48,53,69,71,72,80,81,92,94,95,105,108,110,113,116,120,125,145,148,151,157,
160,161,162,182,189,190,267,271,280,298,316,323,339,341,346,348,351,372,382,
454,466,488,504,632,634,646,667,671,945],[1,3,4,5,6,11,14,16,20,22,23,26,29,
30,33,36,38,48,73,76,79,81,84,90,93,94,104,118,133,146,164,169,177,189,192,
218,269,273,281,293,299,320,331,342,428,469,616,631,636,670,683,946],[1,2,3,4,
5,10,11,12,13,14,15,16,17,21,23,24,29,30,32,33,38,42,48,69,70,71,72,73,75,82,
85,92,93,94,95,109,112,116,130,145,161,162,164,172,182,189,194,202,208,217,
221,224,267,270,272,277,281,284,316,320,329,330,343,348,358,382,432,443,449,
459,504,561,618,643,644,671,691,715,726,862,947],[1,2,3,4,5,6,7,10,11,12,13,
14,15,16,17,18,19,20,21,22,23,24,29,30,32,33,35,36,37,38,41,42,52,70,72,73,80,
81,82,83,84,85,87,88,89,90,92,93,94,95,99,100,109,110,112,113,116,122,124,128,
129,130,133,134,140,146,152,154,158,162,164,165,166,167,169,172,177,181,182,
184,188,194,208,268,269,270,272,273,274,275,277,278,279,280,281,285,293,294,
311,316,317,324,328,329,336,337,342,371,374,385,397,425,432,453,461,470,472,
630,631,638,644,648,650,651,666,676,681,728,948],[1,2,3,4,5,6,7,10,11,12,14,
16,18,19,20,21,22,23,24,30,32,33,35,36,37,38,41,48,52,72,73,80,81,83,84,85,87,
89,90,93,95,99,100,109,110,113,122,124,130,145,154,158,161,164,167,169,177,
181,188,189,192,201,208,216,218,269,272,273,274,275,278,279,280,284,308,320,
330,348,379,413,416,428,433,461,469,470,472,531,621,638,643,674,683,694,699,
721,723,949],[1,2,3,4,5,6,7,8,10,11,12,13,14,15,17,18,21,22,23,31,32,33,34,35,
36,37,38,39,40,41,46,47,48,51,52,53,54,55,57,58,70,72,82,83,84,92,93,98,99,
100,103,105,106,108,109,112,120,124,125,127,139,145,153,157,158,161,163,172,
173,187,189,193,196,197,205,213,219,232,244,247,270,271,275,276,291,295,303,
312,322,335,348,364,370,396,407,437,448,530,550,637,642,649,716,720,950],[1,3,
4,5,7,11,14,16,18,19,23,27,30,33,35,38,42,48,73,77,78,80,83,90,93,101,115,116,
128,140,154,164,177,189,201,216,273,277,279,287,290,320,324,328,413,433,619,
639,650,709,721,951],[1,2,3,4,5,6,7,10,12,14,16,18,19,20,21,22,30,32,33,35,36,
37,38,41,52,72,73,80,81,83,84,85,95,99,100,109,110,113,124,130,154,158,164,
169,181,188,222,269,272,274,275,278,279,280,470,472,473,509,512,638,685,701,
719,952],[1,2,3,4,5,6,7,8,10,11,12,13,14,15,17,18,21,22,23,25,28,29,31,32,33,
34,35,36,37,38,39,41,42,46,47,49,50,51,52,53,54,55,57,58,70,72,82,83,84,92,93,
94,99,100,105,108,109,112,116,120,121,123,124,125,126,127,128,129,133,139,140,
144,146,149,152,153,157,158,162,163,165,172,173,179,182,184,187,193,196,197,
199,200,205,206,209,213,214,219,230,232,233,236,244,247,270,271,275,282,289,
291,295,303,306,311,316,317,324,335,342,356,364,366,369,370,371,374,380,385,
390,395,397,403,407,414,422,429,430,482,517,530,533,538,539,540,552,557,617,
642,645,676,686,747,753,764,778,782,856,953],[1,2,3,4,5,6,7,8,10,12,14,16,18,
19,20,21,22,26,30,32,33,34,35,36,37,38,40,41,44,46,47,52,55,56,57,72,73,76,79,
80,81,83,84,85,95,97,99,100,104,106,109,110,113,114,117,118,119,120,124,130,
131,132,135,137,138,139,141,142,143,147,148,154,158,159,164,168,169,173,175,
178,180,181,186,188,190,191,196,198,205,231,269,272,274,275,278,279,280,288,
291,292,296,299,304,307,309,310,313,318,319,331,332,333,341,349,354,362,367,
381,384,391,393,399,400,408,417,418,419,420,421,426,427,436,441,452,470,472,
486,491,494,501,616,638,647,662,669,673,677,712,718,777,801,833,845,954],[1,3,
4,5,6,8,11,14,16,20,22,23,29,30,33,34,36,38,40,42,44,47,73,81,84,90,93,94,97,
106,114,116,117,119,120,132,133,142,146,164,169,175,177,191,212,220,269,273,
277,281,293,319,332,342,349,354,421,508,511,628,631,647,698,700,955],[1,2,3,4,
5,6,7,10,12,14,16,18,19,20,21,22,29,30,32,33,35,36,37,38,41,48,52,72,73,80,81,
83,84,85,94,95,99,100,109,110,113,124,130,154,158,164,169,181,188,189,221,224,
269,272,274,275,278,279,280,281,320,449,470,472,504,633,638,639,670,726,956],[
1,2,3,4,5,6,7,8,10,12,14,16,18,19,20,21,22,29,30,31,32,33,34,35,36,37,38,39,
41,42,47,52,53,72,73,80,81,83,84,85,94,95,99,100,105,108,109,110,113,116,120,
124,125,130,154,157,158,162,164,169,181,182,188,199,203,204,206,212,214,220,
223,229,230,269,271,272,274,275,278,279,280,298,316,327,339,347,356,361,369,
392,403,414,451,470,472,499,508,510,551,552,632,635,638,680,682,686,704,725,
732,957],[1,2,3,4,5,6,7,8,10,11,12,13,14,15,17,18,21,22,23,31,32,33,34,35,36,
37,38,39,41,46,47,51,52,53,54,55,57,58,59,60,70,72,82,83,84,92,93,99,100,105,
108,109,112,120,124,125,127,139,153,157,158,163,172,173,187,193,195,196,197,
205,213,219,226,227,228,232,234,237,244,247,270,271,275,291,295,303,335,364,
370,373,383,398,407,424,431,438,519,530,559,572,642,706,711,749,867,958],[1,2,
3,4,5,6,7,8,10,11,12,13,14,15,17,18,19,20,21,22,23,26,27,31,32,33,34,35,36,37,
38,39,40,41,43,44,45,46,47,51,52,53,54,55,56,57,58,70,72,76,78,82,83,84,86,92,
93,96,97,98,99,100,101,102,104,105,108,109,111,112,113,114,115,118,119,120,
124,125,127,131,132,135,136,137,138,139,141,142,143,147,148,150,151,153,154,
155,156,157,158,159,160,163,169,171,172,173,174,175,176,178,180,181,183,185,
187,188,190,191,193,196,197,198,205,213,215,219,231,232,238,244,245,247,249,
270,271,275,286,287,288,291,295,297,303,309,310,314,315,318,319,321,331,333,
334,335,340,353,354,357,364,365,367,368,370,381,387,388,393,394,399,400,401,
402,405,406,407,409,420,423,426,435,436,441,442,444,445,446,447,450,454,455,
456,457,458,463,465,468,470,474,475,480,481,485,486,489,491,493,494,495,505,
507,530,560,627,642,665,668,672,697,718,733,756,757,777,792,796,812,820,821,
830,832,836,959],[1,2,3,4,7,8,10,12,14,18,19,20,31,34,39,40,47,51,53,54,72,77,
80,81,101,102,105,107,108,110,113,115,120,125,132,137,141,150,154,157,160,174,
178,185,186,187,203,225,229,271,280,290,325,326,327,338,340,347,350,423,435,
452,490,492,499,500,510,514,524,553,565,569,635,705,707,807,819,850,854,871,
879,960],[1,3,4,6,7,14,16,20,22,25,35,36,41,48,49,50,52,73,81,84,124,126,161,
169,189,192,201,209,222,236,269,289,312,320,360,416,509,636,701,703,961],[1,3,
4,6,7,8,14,16,20,22,25,34,35,36,40,41,44,47,48,49,50,52,60,73,81,84,97,106,
114,117,119,120,124,126,132,142,161,169,175,191,192,201,209,236,237,240,241,
269,289,312,319,332,349,354,360,416,421,424,518,523,647,689,703,851,863,962],[
1,3,4,6,7,14,16,20,22,25,26,35,36,41,48,49,50,52,60,73,76,79,81,84,104,118,
124,126,161,169,192,201,209,236,237,239,243,269,289,299,312,331,360,416,424,
537,558,616,689,703,760,780,963],[1,2,3,4,5,6,7,10,11,12,13,14,15,16,17,18,21,
22,23,24,29,30,32,33,35,36,37,38,40,41,42,48,52,69,70,71,72,73,75,82,83,84,85,
92,93,94,95,98,99,100,103,106,109,112,116,124,128,129,130,133,140,143,145,146,
152,158,161,162,164,165,172,180,182,183,184,185,189,192,194,201,208,216,218,
267,270,272,275,276,284,296,300,301,311,316,317,324,342,343,344,348,371,374,
379,382,385,396,397,401,413,416,428,432,448,462,504,511,531,618,652,671,674,
676,714,716,751,789,834,841,964],[1,2,3,4,5,6,7,8,13,14,15,16,20,22,23,25,29,
32,35,36,39,41,42,47,48,49,50,52,53,54,55,57,58,73,81,84,88,89,112,116,124,
125,126,129,140,146,152,161,162,163,169,179,184,192,193,197,201,202,205,206,
207,209,214,220,223,224,229,230,233,235,236,244,268,269,277,289,294,298,312,
317,327,358,360,361,372,380,389,397,403,407,414,416,429,471,522,533,538,539,
544,547,548,651,680,703,769,773,778,779,781,805,965],[1,3,4,6,8,14,16,20,22,
29,34,36,39,40,42,44,47,53,73,81,84,97,106,114,117,119,120,125,132,142,162,
169,175,191,206,220,222,223,229,230,269,298,319,327,332,349,354,361,403,421,
509,564,570,647,680,701,840,857,966],[1,2,3,4,5,8,10,12,14,16,19,20,21,29,30,
31,32,33,34,38,39,40,42,47,48,53,72,73,80,81,85,94,95,98,103,105,106,108,109,
110,113,116,120,125,130,132,136,145,157,161,162,164,175,176,182,189,203,204,
212,220,223,229,271,272,276,280,302,316,327,347,348,349,361,372,392,433,451,
456,464,466,469,499,508,510,550,551,635,640,667,688,699,704,720,967],[1,3,4,6,
7,14,16,20,22,25,35,36,41,42,48,49,50,52,73,81,84,116,124,126,161,169,192,201,
209,222,236,269,277,289,312,360,416,509,628,701,703,968],[1,3,4,5,6,7,8,11,14,
16,18,19,20,22,23,30,33,34,35,36,38,40,47,48,56,73,80,81,83,84,90,93,106,120,
131,132,137,138,141,147,154,159,164,169,175,177,178,186,189,192,201,210,216,
218,235,269,273,279,320,349,413,418,419,426,428,433,441,448,452,469,494,502,
636,639,669,678,683,710,721,969],[1,2,3,4,6,7,8,10,12,14,18,20,22,25,26,28,34,
35,36,37,40,41,44,46,49,50,52,55,56,60,72,76,83,84,97,99,100,104,118,119,121,
123,124,126,135,137,138,139,141,149,158,159,169,175,180,190,191,198,200,209,
226,227,231,236,237,239,240,241,243,275,282,288,289,306,309,310,319,331,333,
373,383,390,393,424,426,486,491,518,523,529,537,558,562,571,617,706,718,760,
763,791,825,863,865,970],[1,2,3,4,5,6,7,8,10,12,14,16,18,21,22,29,30,31,32,33,
34,35,36,37,38,39,41,42,47,48,52,53,72,73,83,84,85,94,95,99,100,105,108,109,
116,120,124,125,130,144,145,157,158,161,162,164,179,182,189,192,199,201,204,
206,212,214,216,218,220,223,230,233,271,272,275,277,281,316,329,348,356,361,
369,372,377,379,380,389,392,403,413,414,416,422,428,430,451,466,508,531,551,
552,644,645,667,674,686,704,708,759,769,770,776,971],[1,3,4,5,6,7,8,11,14,16,
18,19,20,22,23,29,30,33,34,35,36,38,40,47,48,56,73,80,81,83,84,90,93,94,106,
120,131,132,133,137,138,141,146,147,154,159,164,169,175,177,178,186,189,201,
204,216,223,269,273,279,281,293,320,342,349,392,413,418,419,426,433,441,452,
462,494,631,633,669,670,721,727,736,972],[1,2,3,4,5,8,10,11,12,13,14,15,17,21,
23,29,31,32,33,34,38,39,40,42,47,48,53,70,72,82,92,93,94,98,103,105,106,108,
109,112,116,120,125,145,157,161,162,172,182,189,202,207,210,211,217,221,224,
235,270,271,276,316,348,358,359,372,378,386,396,443,448,449,459,466,471,498,
502,550,561,623,667,713,715,716,720,735,973],[1,2,3,4,5,6,7,8,10,12,14,16,18,
19,20,21,22,30,31,32,33,34,35,36,38,39,40,43,44,45,46,47,51,53,54,55,56,57,58,
72,73,80,81,83,84,85,86,91,95,96,97,98,102,103,105,106,107,108,109,111,114,
117,119,120,125,130,131,132,135,136,137,138,139,141,142,143,147,148,150,151,
153,154,155,156,157,159,160,164,168,169,170,171,173,174,175,176,178,180,183,
185,186,187,190,191,193,196,205,219,245,249,269,271,272,276,279,291,296,297,
300,302,303,304,319,326,332,341,345,349,351,354,357,362,368,388,391,402,404,
405,406,409,410,411,412,418,419,421,426,434,435,436,441,442,445,450,452,455,
456,457,458,460,463,464,465,467,474,475,476,477,478,479,480,483,484,485,486,
494,495,496,497,503,505,507,513,626,629,640,647,669,673,717,771,786,792,796,
809,814,836,837,843,852,866,876,974],[1,2,3,4,5,6,7,10,11,12,13,14,15,17,18,
19,20,21,22,23,29,32,33,35,36,37,38,41,42,48,52,70,72,80,81,82,83,84,92,93,94,
99,100,109,110,112,113,116,124,128,129,133,140,144,145,146,152,158,161,162,
165,172,179,182,184,189,202,217,221,224,233,270,275,280,293,294,298,311,316,
317,324,328,336,339,342,348,355,358,360,371,374,377,380,385,389,397,422,430,
443,449,459,561,632,645,676,695,708,715,728,741,742,761,773,975],[1,2,3,4,5,6,
8,10,12,14,16,20,21,22,29,30,32,33,34,36,38,40,42,46,47,48,55,57,72,73,81,84,
85,94,95,106,109,116,120,130,132,135,139,143,148,162,164,168,169,173,175,180,
182,189,190,196,202,205,217,269,272,277,281,291,296,304,316,320,329,341,349,
362,382,391,436,459,486,628,644,670,673,691,700,738,976],[1,2,3,4,5,6,8,10,12,
14,16,20,21,22,29,30,32,33,34,36,38,40,46,47,48,55,57,72,73,81,84,85,94,95,
106,109,120,130,132,135,139,143,145,148,161,164,168,169,173,175,180,189,190,
196,205,221,224,269,272,281,291,296,304,320,330,341,348,349,362,391,436,449,
486,504,636,643,670,673,678,726,727,977],[1,2,3,4,5,6,7,8,10,12,14,15,18,19,
20,21,22,26,27,34,35,36,37,38,40,41,44,45,46,51,52,53,54,55,56,57,58,69,71,72,
76,78,83,84,91,92,95,96,97,98,99,100,101,103,104,106,107,108,110,111,115,117,
118,119,124,131,132,135,136,137,138,139,141,142,143,147,150,153,154,155,156,
158,159,160,168,169,170,171,173,174,175,176,180,181,183,185,186,187,188,190,
191,198,215,231,238,244,247,267,275,276,286,287,288,292,296,297,300,301,309,
310,314,315,319,331,333,334,344,346,350,357,362,363,368,370,376,381,387,393,
394,399,401,402,404,408,409,410,411,417,419,421,426,427,434,435,439,440,444,
450,460,463,464,467,468,472,474,475,476,481,484,486,487,491,493,494,495,496,
497,503,505,513,514,624,652,693,702,718,722,731,733,757,771,784,786,804,813,
814,820,822,845,855,978],[1,2,3,4,6,7,8,10,12,14,18,20,22,26,29,34,35,36,37,
40,41,42,44,46,52,55,56,59,72,76,83,84,94,97,99,100,104,116,118,119,124,135,
137,138,139,141,144,158,159,162,169,175,179,180,182,190,191,195,198,228,231,
233,234,275,288,309,310,316,319,331,333,380,393,398,422,426,430,431,438,486,
491,542,567,645,711,718,788,849,979],[1,3,4,6,8,14,16,20,22,29,36,39,42,47,48,
53,60,73,81,84,125,162,169,189,206,220,223,229,230,237,269,298,320,327,361,
403,424,636,680,689,980],[1,2,3,4,6,7,8,10,12,14,18,20,22,26,34,35,36,37,40,
41,44,46,52,55,56,59,72,76,83,84,97,98,99,100,103,104,106,118,119,124,135,137,
138,139,141,158,159,169,175,180,190,191,195,198,228,231,234,275,276,288,309,
310,319,331,333,393,398,426,431,437,438,486,491,637,711,718,858,864,981],[1,2,
3,4,6,7,8,10,12,14,18,19,22,27,29,34,35,36,37,40,41,42,45,51,52,54,56,60,72,
78,83,84,94,96,99,100,101,111,115,116,124,131,132,138,144,147,154,158,159,160,
162,171,174,179,182,185,187,215,226,227,233,237,238,275,286,287,297,314,315,
316,334,373,380,383,387,394,422,424,430,435,494,543,568,645,706,733,810,811,
982],[1,2,3,4,5,6,7,10,12,14,15,18,21,22,35,36,37,38,40,41,52,59,60,69,71,72,
83,84,92,95,98,99,100,103,106,124,143,158,180,183,185,195,226,227,228,234,237,
267,275,276,296,300,301,344,373,383,398,401,424,431,438,652,706,711,765,846,
983],[1,2,3,4,5,6,7,8,13,14,15,16,18,19,23,28,29,32,35,36,39,41,42,47,48,49,
50,52,53,54,55,57,58,73,80,83,88,89,94,112,124,125,140,144,146,149,152,154,
161,162,163,165,184,192,193,197,199,200,201,202,203,205,207,209,214,220,223,
224,230,233,235,244,268,279,281,306,311,322,336,339,347,355,356,358,361,369,
377,397,407,416,422,466,471,482,517,522,533,544,547,548,557,630,687,725,742,
747,759,781,800,817,984],[1,2,3,4,5,6,7,8,10,12,14,15,18,19,20,21,22,29,31,34,
35,36,37,38,39,40,41,42,47,48,52,53,69,71,72,80,81,83,84,92,94,95,98,99,100,
103,105,106,108,110,113,116,120,124,125,143,145,148,151,157,158,160,161,162,
180,182,183,185,189,190,199,206,214,230,267,271,275,276,280,296,300,301,316,
323,341,344,346,348,351,355,356,360,369,382,401,403,414,454,504,550,552,634,
652,671,686,688,695,720,985],[1,2,3,4,5,8,10,12,14,15,19,20,21,31,34,38,39,47,
53,69,71,72,80,81,92,95,105,108,110,113,120,125,148,151,157,160,190,222,225,
267,271,280,323,341,346,351,454,473,490,492,500,509,512,634,705,719,790,802,
986],[1,2,3,4,6,7,8,10,12,14,18,19,22,27,34,35,36,37,40,41,45,48,51,52,54,56,
59,72,78,83,84,96,99,100,101,111,115,124,131,132,138,145,147,154,158,159,160,
161,171,174,185,187,189,195,215,228,234,238,275,286,287,297,312,314,315,322,
334,348,387,394,398,431,435,438,494,649,711,733,838,839,987],[1,2,3,4,5,6,8,
10,11,12,14,16,20,21,22,23,24,29,30,32,33,34,36,38,40,46,47,48,55,57,72,73,81,
84,85,87,89,90,93,94,95,106,109,120,122,130,132,133,135,139,143,146,148,164,
167,168,169,173,175,177,180,189,190,192,196,204,205,208,210,218,221,223,224,
235,269,272,273,281,284,291,293,296,304,308,320,341,342,349,362,391,392,428,
436,448,449,461,462,469,486,502,504,521,528,544,545,621,631,673,683,710,726,
736,743,789,793,808,988],[1,2,3,4,5,6,7,10,12,14,16,18,19,20,21,22,30,32,33,
35,36,37,38,41,48,52,72,73,80,81,83,84,85,95,99,100,109,110,113,124,130,145,
158,161,164,189,192,201,216,218,272,275,280,312,320,322,330,348,355,360,379,
413,416,428,433,469,488,531,623,643,646,649,674,695,699,989],[1,2,3,4,5,6,7,8,
10,11,12,13,14,15,17,18,21,22,23,29,31,32,33,34,35,36,37,38,39,41,42,47,48,52,
53,70,72,82,83,84,92,93,94,99,100,105,108,109,112,116,120,124,125,128,129,133,
140,145,146,152,157,158,161,162,165,172,182,184,189,199,202,206,207,210,211,
214,217,221,224,230,235,270,271,275,311,312,316,317,322,324,342,348,356,358,
359,369,371,372,374,377,378,385,386,389,397,403,414,443,449,459,466,471,498,
502,552,561,649,667,676,686,708,715,735,758,800,805,828,990],[1,2,3,4,5,6,7,
10,11,12,13,14,15,17,18,19,20,21,22,23,29,32,33,35,36,37,38,40,41,42,48,52,70,
72,80,81,82,83,84,92,93,94,98,99,100,103,106,109,110,112,113,116,124,128,129,
133,135,140,145,146,152,158,161,162,165,168,170,172,174,182,184,189,270,275,
276,280,304,305,311,316,317,321,324,342,345,348,355,360,371,374,385,396,397,
437,440,448,637,641,676,688,695,713,716,991],[1,2,3,4,5,7,8,10,12,14,16,18,19,
21,30,32,33,34,35,38,40,42,47,48,51,54,58,72,73,80,83,85,95,106,109,116,120,
130,132,145,151,153,154,160,161,164,170,174,175,183,185,187,189,193,202,217,
219,272,277,279,300,303,320,330,345,348,349,351,382,435,458,459,467,483,639,
643,678,691,709,717,738,992],[1,2,3,4,6,7,8,10,12,14,18,20,22,26,34,35,36,37,
40,41,44,46,48,52,55,56,60,72,76,83,84,97,99,100,104,118,119,124,135,137,138,
139,141,145,158,159,161,169,175,180,189,190,191,198,226,227,231,237,275,288,
309,310,312,319,322,331,333,348,373,383,393,424,426,486,491,649,706,718,780,
851,993],[1,2,3,4,5,6,13,14,15,16,20,22,23,32,36,42,60,73,81,84,88,89,112,116,
129,152,169,222,237,268,269,277,294,317,424,509,651,689,701,994],[1,2,3,4,5,6,
7,8,13,14,15,16,18,19,20,22,23,29,32,34,35,36,40,42,47,48,56,73,80,81,83,84,
88,89,94,106,112,116,120,129,131,132,137,138,141,147,152,154,159,165,169,175,
178,184,186,189,207,211,268,269,277,279,281,294,311,317,320,336,349,359,396,
418,419,426,441,452,494,630,651,669,670,700,709,734,995],[1,3,4,5,8,11,14,16,
23,29,30,33,34,38,40,42,43,47,48,73,86,90,91,93,94,106,116,120,132,155,156,
164,175,177,189,204,210,212,220,223,235,273,277,281,320,349,392,406,448,462,
476,502,508,511,626,698,700,710,727,736,738,996],[1,2,3,4,5,6,7,8,10,11,12,13,
14,15,17,18,19,20,21,22,23,29,31,32,33,34,35,36,37,38,39,41,42,46,47,48,51,52,
53,54,55,57,58,70,72,80,81,82,83,84,92,93,94,99,100,105,108,109,110,112,113,
116,120,124,125,127,139,145,153,157,158,161,162,163,172,173,182,187,189,193,
196,197,199,203,205,206,207,210,211,213,214,219,229,230,232,235,244,247,270,
271,275,280,291,293,294,295,303,316,327,328,335,336,347,348,355,356,359,360,
364,369,370,372,378,386,403,407,414,466,471,498,499,502,510,530,552,635,642,
667,686,695,728,735,740,754,779,817,997],[1,2,3,4,6,7,8,10,12,14,18,19,22,27,
34,35,36,37,40,41,45,51,52,54,56,60,72,78,83,84,96,98,99,100,101,103,106,111,
115,124,131,132,138,147,154,158,159,160,171,174,185,187,215,226,227,237,238,
275,276,286,287,297,314,315,334,373,383,387,394,424,435,437,494,637,706,733,
744,766,998],[1,3,4,6,7,8,14,16,18,19,28,34,35,36,40,41,45,47,48,49,50,52,59,
73,80,83,96,102,106,107,111,120,124,132,149,150,154,161,171,175,192,195,200,
201,209,246,250,279,297,306,322,326,349,355,398,404,405,416,555,556,629,660,
687,798,839,999],[1,3,4,6,7,14,16,18,19,28,29,35,36,41,48,49,50,52,73,80,83,
94,124,149,154,161,192,200,201,209,225,279,281,306,322,355,416,492,633,687,
739,1000],[1,2,3,4,5,6,7,8,10,12,14,16,18,21,22,29,30,31,32,33,34,35,36,37,38,
39,40,41,42,47,48,52,53,72,73,83,84,85,94,95,98,99,100,103,105,106,108,109,
116,120,124,125,130,132,136,145,157,158,161,162,164,175,176,182,189,192,199,
201,206,214,216,218,230,271,272,275,276,302,316,348,349,356,369,379,403,413,
414,416,428,437,456,462,464,511,531,550,552,637,640,674,686,713,714,720,
1001],[1,3,4,5,6,7,8,11,14,16,18,19,23,28,29,30,33,35,36,38,39,41,42,46,47,48,
49,50,51,52,53,57,58,73,80,83,90,93,116,124,125,127,128,129,133,140,149,154,
161,162,164,165,177,179,192,196,197,199,200,201,203,206,209,210,211,214,217,
219,220,221,223,233,247,273,277,279,306,322,324,328,339,347,355,361,364,369,
372,374,378,380,389,395,414,416,443,521,534,538,540,541,557,566,650,687,725,
741,745,753,754,769,828,1002],[1,2,3,4,5,10,11,12,13,14,15,16,17,19,20,21,23,
24,29,30,32,33,38,40,42,48,70,72,73,80,81,82,85,87,88,89,90,92,93,94,95,98,
103,106,109,110,112,113,116,122,130,134,135,145,161,162,164,166,167,168,170,
172,174,177,182,189,194,202,208,217,221,224,268,270,272,273,276,280,285,293,
294,304,305,316,321,328,336,337,345,348,358,396,425,432,433,440,443,448,449,
453,459,461,462,469,511,561,641,648,699,714,715,716,728,743,787,827,880,
1003],[1,2,3,4,5,10,11,12,13,14,15,17,19,20,21,23,29,32,33,38,40,42,48,70,72,
80,81,82,92,93,94,98,103,106,109,110,112,113,116,145,161,162,172,182,189,202,
217,221,224,270,276,280,293,294,316,328,336,348,358,377,389,396,443,448,449,
459,488,561,646,688,708,713,715,716,728,1004],[1,3,4,6,8,14,16,20,22,26,29,36,
39,42,47,53,73,76,79,81,84,104,118,125,162,169,206,220,222,223,229,230,269,
298,299,327,331,361,403,509,549,563,616,680,701,835,848,1005],[1,3,4,5,6,11,
14,16,20,22,23,29,30,33,36,38,60,73,81,84,90,93,94,133,146,164,169,177,222,
237,269,273,281,293,342,424,509,631,689,701,1006],[1,3,4,5,6,7,8,11,14,16,18,
19,20,22,23,30,33,34,35,36,38,40,42,47,48,56,73,80,81,83,84,90,93,106,116,120,
128,131,132,137,138,140,141,147,154,159,164,169,175,177,178,186,189,192,212,
218,220,269,273,277,279,320,324,328,349,418,419,426,428,441,452,469,494,508,
511,628,650,669,683,698,709,738,1007],[1,3,4,5,7,8,11,14,16,18,19,23,30,33,34,
35,38,40,42,45,47,48,73,80,83,90,93,96,102,106,107,111,116,120,132,150,154,
164,171,175,177,189,201,210,212,216,220,235,273,277,279,297,320,326,349,404,
405,413,433,448,502,508,511,629,678,698,709,710,721,738,1008],[1,2,3,4,5,6,7,
8,10,12,14,15,18,19,20,21,22,31,34,38,39,40,43,44,45,46,47,51,52,53,54,55,56,
57,58,69,71,72,77,79,80,81,86,92,95,96,97,100,101,102,103,104,105,107,108,110,
113,114,115,117,118,120,125,131,132,135,136,137,138,139,141,142,147,148,150,
151,153,154,155,156,157,160,168,169,170,171,173,174,175,176,178,180,181,185,
186,187,188,190,191,244,245,247,249,267,271,280,290,292,299,301,307,310,313,
315,318,323,325,326,332,338,340,341,346,350,351,354,357,362,363,365,367,368,
370,376,384,387,388,393,400,405,406,408,411,412,415,418,420,423,434,435,440,
441,442,445,446,450,452,454,455,457,464,465,467,472,477,478,479,480,481,485,
486,493,496,501,507,514,515,625,634,677,684,690,702,707,722,752,756,768,775,
783,821,822,833,836,837,866,1009],[1,3,4,5,6,8,11,14,16,20,22,23,29,30,33,34,
36,38,40,44,47,48,73,81,84,90,93,94,97,106,114,117,119,120,132,142,164,169,
175,177,189,191,192,204,210,218,223,235,269,273,281,319,320,332,349,354,392,
421,428,448,462,469,502,647,670,678,683,710,727,736,1010],[1,3,4,6,7,14,16,18,
19,27,28,35,36,41,48,49,50,52,59,73,77,78,80,83,101,115,124,149,154,161,192,
195,200,201,209,242,248,279,287,290,306,322,355,398,416,526,554,619,660,687,
797,838,1011],[1,2,3,4,6,7,8,10,12,14,18,19,22,25,27,28,34,35,36,37,40,41,45,
49,50,51,52,54,56,59,72,78,83,84,96,99,100,101,111,115,121,123,124,126,131,
132,138,147,149,154,158,159,160,171,174,185,187,195,200,209,215,228,234,236,
238,242,246,248,250,275,282,286,287,289,297,306,314,315,334,387,390,394,398,
431,435,438,494,516,526,527,554,555,556,573,617,711,733,762,797,798,826,829,
847,1012],[1,2,3,4,5,6,8,10,11,12,13,14,15,16,17,20,21,22,23,24,30,32,33,34,
36,38,40,42,46,47,48,55,57,70,72,73,81,82,84,85,87,88,89,90,92,93,95,106,109,
112,116,120,122,129,130,132,134,135,139,143,148,152,164,166,167,168,169,172,
173,175,177,180,189,190,192,194,196,202,205,207,208,211,212,217,218,220,268,
269,270,272,273,277,285,291,294,296,304,317,320,337,341,349,359,362,382,391,
396,425,428,432,436,453,459,461,469,486,508,511,522,525,541,546,648,651,673,
683,691,698,734,751,787,795,815,1013],[1,2,3,4,7,8,10,12,14,18,19,20,34,40,48,
51,54,72,77,80,81,101,102,107,110,113,115,132,137,141,145,150,154,160,161,174,
178,185,186,187,189,222,280,290,325,326,338,340,348,350,423,435,452,473,488,
509,512,514,646,707,719,816,874,1014],[1,2,3,4,5,8,10,12,14,16,21,29,30,31,32,
33,34,38,39,40,42,47,48,53,72,73,85,94,95,98,103,105,106,108,109,116,120,125,
130,132,136,157,164,175,176,189,202,217,221,224,271,272,276,277,281,302,320,
349,382,449,456,459,464,504,640,678,691,700,726,727,738,1015],[1,3,4,5,6,7,8,
11,14,16,20,22,23,25,29,30,33,35,36,38,39,41,42,46,47,48,49,50,51,52,53,57,58,
73,81,84,90,93,94,124,125,126,127,128,129,133,144,146,161,162,164,165,169,177,
192,196,197,199,201,206,209,210,211,217,219,220,221,223,229,230,233,236,247,
269,273,281,289,293,298,312,327,342,356,360,361,364,366,374,377,378,403,416,
422,443,466,517,521,534,539,540,541,566,631,680,703,740,745,758,759,761,782,
1016],[1,2,3,4,5,6,7,8,10,11,12,13,14,15,17,18,19,20,21,22,23,31,32,33,34,37,
38,39,40,41,46,51,54,55,70,72,77,79,80,81,82,91,92,93,98,99,101,102,103,104,
105,106,107,109,110,111,112,113,114,115,117,118,119,127,131,132,135,136,137,
139,141,142,143,147,148,150,151,154,155,156,159,160,163,168,169,170,171,172,
174,175,176,178,180,181,183,185,186,187,188,190,191,232,270,276,280,286,288,
290,292,299,304,305,307,313,318,321,325,326,332,335,338,340,345,350,367,384,
394,401,404,408,409,410,411,412,415,417,418,419,421,423,427,434,435,436,439,
440,447,452,454,455,456,457,458,460,470,476,477,478,479,480,481,484,486,487,
489,491,493,495,496,497,501,503,505,513,514,515,622,641,661,672,677,696,697,
707,768,771,772,774,775,801,804,809,813,832,876,1017],[1,2,3,4,5,10,11,12,13,
14,15,17,19,20,21,23,32,33,38,40,70,72,80,81,82,92,93,98,103,106,109,110,112,
113,135,168,170,172,174,222,225,270,276,280,304,305,321,345,440,473,490,492,
500,509,512,641,705,719,806,873,1018],[1,2,3,4,6,8,10,12,14,19,20,22,29,34,40,
42,46,55,72,79,80,81,94,104,110,113,114,116,117,118,131,135,139,142,147,162,
169,175,178,180,182,186,190,222,280,292,298,299,307,313,316,318,332,339,367,
408,418,473,486,509,512,632,677,719,840,848,1019],[1,2,3,4,6,8,10,12,14,19,20,
22,31,34,39,40,46,47,53,55,72,79,80,81,104,105,108,110,113,114,117,118,120,
125,131,135,139,142,147,157,169,175,178,180,186,190,203,222,229,271,280,292,
299,307,313,318,327,332,347,367,408,418,473,486,499,509,510,512,549,563,564,
570,635,677,719,835,853,857,860,868,878,1020],[1,2,3,4,6,8,10,12,14,19,20,22,
34,40,46,48,55,72,79,80,81,104,110,113,114,117,118,131,135,139,142,145,147,
161,169,175,178,180,186,189,190,225,280,292,299,307,313,318,332,348,367,408,
418,486,488,490,492,500,646,677,705,794,875,1021],[1,2,3,4,6,8,10,12,14,19,20,
22,34,40,46,55,72,79,80,81,104,110,113,114,117,118,131,135,139,142,147,169,
175,178,180,186,190,225,280,283,292,299,307,313,318,332,367,408,418,486,490,
492,500,620,677,705,818,831,1022],[1,2,3,4,5,7,8,10,12,14,16,18,19,21,29,30,
32,33,34,35,38,40,42,47,48,51,54,58,72,73,80,83,85,94,95,106,109,116,120,130,
132,151,153,154,160,162,164,170,174,175,182,183,185,187,189,193,219,221,224,
272,277,279,281,300,303,316,320,329,345,349,351,435,449,458,467,483,504,633,
644,700,709,717,726,727,1023],[1,2,3,4,5,6,7,8,10,11,12,13,14,15,16,17,18,21,
22,23,24,29,30,31,32,33,34,35,36,37,38,39,41,42,46,47,48,51,52,53,54,55,57,58,
70,72,73,82,83,84,85,87,88,89,90,92,93,94,95,99,100,105,108,109,112,116,120,
122,124,125,127,128,129,130,133,134,139,140,145,146,152,153,157,158,161,162,
163,164,165,166,167,172,173,177,182,184,187,189,192,193,194,196,197,201,202,
204,205,207,208,210,211,212,213,216,217,218,219,220,221,223,224,232,235,244,
247,268,270,271,272,273,275,285,291,295,303,311,316,317,324,335,337,342,348,
358,359,361,364,370,371,374,378,379,385,386,392,397,407,413,416,425,428,432,
443,449,451,453,459,461,471,498,502,508,520,521,522,525,528,530,531,532,534,
535,536,541,544,545,546,547,548,551,561,566,642,648,674,676,704,715,735,745,
748,750,781,793,795,824,872,883,884,1024],[1,2,3,4,5,8,10,12,14,16,21,29,30,
31,32,33,34,38,39,40,42,47,48,53,72,73,85,94,95,98,103,105,106,108,109,116,
120,125,130,145,157,161,162,164,182,189,204,212,220,223,271,272,276,316,320,
330,348,361,372,377,389,392,451,462,466,508,511,550,551,643,667,704,708,713,
714,720,1025],[1,2,3,4,7,8,10,12,14,18,19,20,29,34,40,42,51,54,72,77,80,81,94,
101,102,107,110,113,115,116,132,137,141,150,154,160,162,174,178,182,185,186,
187,225,280,290,298,316,325,326,338,339,340,350,423,435,452,490,492,500,514,
632,705,707,869,877,1026],[1,3,4,7,8,14,16,18,19,29,35,39,42,47,48,53,59,73,
80,83,125,154,162,189,195,199,203,214,220,223,279,320,339,347,361,369,398,639,
660,725,1027],[1,3,4,6,7,14,16,18,19,28,35,36,41,48,49,50,52,73,80,83,124,149,
154,161,189,192,200,201,209,225,279,306,320,322,355,416,492,639,687,739,
1028],[1,3,4,7,8,14,16,18,19,27,29,35,39,42,47,53,73,77,78,80,83,101,115,125,
154,162,199,203,214,220,223,225,279,287,290,339,347,361,369,492,524,565,619,
725,739,819,877,1029],[1,3,4,5,7,11,14,16,18,19,23,30,33,35,38,42,59,73,80,83,
90,93,116,128,140,154,164,177,195,225,273,277,279,324,328,398,492,650,660,739,
1030],[1,2,3,4,5,7,8,10,11,12,14,16,18,19,21,23,24,30,32,33,34,35,38,40,42,47,
48,51,54,58,72,73,80,83,85,87,89,90,93,95,106,109,116,120,122,128,130,132,140,
151,153,154,160,164,167,170,174,175,177,183,185,187,189,193,201,202,208,210,
212,216,217,219,220,235,272,273,277,279,284,300,303,308,320,324,328,345,349,
351,382,413,433,435,448,458,459,461,467,483,502,508,511,520,536,547,566,621,
650,691,698,710,717,721,767,824,827,834,1031],[1,3,4,7,8,14,16,18,19,29,34,35,
39,40,42,45,47,53,73,80,83,96,102,106,107,111,120,125,132,150,154,162,171,175,
199,203,214,220,223,225,279,297,326,339,347,349,361,369,404,405,492,553,569,
629,725,739,807,869,1032],[1,2,3,4,5,7,13,14,15,16,18,19,23,29,32,35,59,73,80,
83,88,89,94,112,154,165,184,195,225,268,279,281,311,336,398,492,630,660,739,
1033],[1,2,3,4,7,8,10,12,14,18,19,20,34,40,51,54,72,77,80,81,101,102,107,110,
113,115,132,137,141,150,154,160,174,178,185,186,187,222,280,283,290,325,326,
338,340,350,423,435,452,473,509,512,514,620,707,719,823,861,1034],[1,3,4,6,8,
14,16,20,22,29,36,39,42,47,53,60,73,81,84,116,125,162,169,206,220,223,229,230,
237,269,277,298,327,361,403,424,628,680,689,1035],[1,2,3,4,5,10,12,14,16,19,
20,21,29,30,32,33,38,40,42,48,72,73,80,81,85,94,95,98,103,106,109,110,113,116,
130,145,161,162,164,182,189,272,276,277,280,281,298,316,329,339,348,377,389,
433,462,469,511,632,644,688,699,708,713,714,1036],[1,2,3,4,5,7,8,10,11,12,13,
14,15,16,17,18,19,21,23,24,29,30,32,33,34,35,38,40,47,48,51,54,58,70,72,73,80,
82,83,85,87,88,89,90,92,93,94,95,106,109,112,120,122,130,132,134,151,153,154,
160,164,165,166,167,170,172,174,175,177,183,184,185,187,189,193,194,201,204,
207,208,211,216,219,221,223,224,268,270,272,273,279,281,285,300,303,311,320,
336,337,345,349,351,359,392,396,413,425,432,433,435,449,453,458,461,462,467,
483,504,532,534,535,548,630,648,717,721,726,734,736,803,841,872,880,1037],[1,
2,3,4,5,8,10,11,12,13,14,15,16,17,19,20,21,23,24,29,30,31,32,33,34,38,39,42,
47,48,53,69,70,71,72,73,75,80,81,82,85,92,93,94,95,105,108,109,110,112,113,
116,120,125,130,145,148,151,157,160,161,162,164,172,182,189,190,194,204,207,
208,210,211,212,220,223,235,267,270,271,272,280,284,293,294,316,323,328,336,
341,343,346,348,351,359,361,378,382,386,392,432,433,451,454,469,471,498,502,
504,508,551,618,634,671,699,704,728,735,767,803,808,815,1038],[1,3,4,7,8,14,
16,18,19,29,35,39,42,47,53,59,73,80,83,94,125,154,162,195,199,203,214,220,223,
279,281,339,347,361,369,398,633,660,725,1039],[1,2,3,4,8,11,12,13,19,20,31,40,
47,48,53,70,77,79,91,98,107,113,117,135,145,157,174,186,203,207,210,222,225,
229,307,321,325,386,473,488,497,499,500,524,549,550,553,564,622,806,816,844,
853,854,875,1040],[1,2,3,4,5,6,7,8,10,12,14,15,17,18,19,20,21,22,23,24,27,30,
31,32,33,34,35,37,38,39,40,41,43,44,45,46,47,51,52,53,54,55,56,57,58,71,75,78,
79,81,82,83,85,86,91,92,95,96,97,98,99,100,101,102,103,104,105,106,107,108,
109,110,111,113,114,115,117,118,119,120,131,132,135,136,137,138,139,141,142,
143,147,148,150,151,153,154,155,156,159,160,168,169,170,171,173,174,175,176,
178,180,181,183,185,186,187,188,190,191,193,194,197,208,213,215,219,238,244,
245,247,249,278,287,288,295,297,299,300,302,303,304,305,307,310,313,314,323,
332,334,340,341,343,344,350,354,357,362,363,365,367,370,375,376,381,384,387,
388,391,393,394,400,401,402,404,405,406,408,410,412,417,419,420,421,423,426,
427,434,436,439,440,441,442,444,445,446,447,450,452,454,455,456,457,458,460,
463,464,465,467,468,470,472,474,475,476,477,478,479,483,484,485,487,489,491,
493,495,496,497,501,503,505,506,507,513,514,515,659,662,665,684,693,696,724,
737,746,752,755,757,768,772,784,785,786,796,801,809,812,813,821,830,833,842,
843,852,855,866,1041],[1,3,5,6,7,8,10,18,20,21,22,25,27,28,34,40,44,49,50,52,
58,59,60,71,78,97,100,103,104,111,117,137,141,143,153,155,159,168,171,176,183,
185,188,190,195,200,236,237,240,241,242,248,282,310,314,344,373,376,417,437,
438,468,475,496,513,523,526,556,558,655,693,765,766,825,826,864,1042],[1,3,6,
7,8,10,18,19,20,22,25,28,34,40,44,45,49,50,52,53,59,60,69,96,97,100,101,103,
104,108,110,141,142,147,150,156,160,180,185,186,190,195,200,236,237,240,241,
246,250,282,301,310,315,346,368,373,408,434,437,438,450,514,523,554,555,558,
656,722,744,825,829,846,864,1043],[1,2,3,4,5,6,8,10,11,12,13,14,15,16,17,19,
21,22,23,24,29,30,32,33,34,36,38,40,42,46,47,48,55,57,71,74,75,80,82,84,85,87,
88,89,90,92,93,94,95,106,109,112,116,120,122,129,130,133,134,136,139,143,146,
151,152,160,164,166,167,170,172,173,174,176,177,180,181,189,192,194,196,202,
204,205,207,208,210,211,212,217,218,220,221,223,224,235,274,284,291,296,302,
308,317,328,329,330,336,337,342,343,345,351,352,359,363,382,392,396,425,428,
432,433,447,448,449,453,459,461,462,481,502,504,506,508,511,521,522,525,528,
541,544,545,546,654,681,694,730,751,767,789,793,795,799,803,827,859,862,880,
1044],[1,3,4,5,6,14,16,19,21,22,23,24,30,33,36,38,48,60,80,84,85,164,167,177,
181,189,192,208,218,225,237,274,308,330,424,428,433,492,663,694,729,1045],[1,
3,4,5,6,7,8,14,18,19,21,22,29,30,34,36,39,40,42,47,53,56,58,77,80,84,85,101,
102,107,115,125,131,132,138,147,150,151,153,154,159,162,170,181,183,203,204,
206,212,225,230,274,290,326,339,347,365,403,415,439,444,451,483,492,494,524,
553,565,569,663,679,682,807,819,869,877,1046],[1,2,3,4,5,6,7,8,10,12,14,15,17,
18,19,20,21,22,23,24,26,30,31,32,33,34,36,37,38,39,40,41,43,44,45,46,47,51,52,
53,54,55,56,57,58,71,75,76,77,80,82,84,85,86,91,92,95,96,97,98,99,100,101,102,
103,104,105,106,107,108,109,110,111,113,114,115,117,118,119,120,131,132,135,
136,137,138,139,141,142,143,147,148,150,151,153,154,155,156,159,160,168,169,
170,171,173,174,175,176,178,180,181,183,185,186,187,188,190,191,194,196,197,
198,205,208,213,231,244,245,247,249,274,286,290,291,292,295,296,302,305,309,
315,318,319,323,325,326,331,333,338,343,344,345,351,354,357,362,363,365,367,
368,370,375,376,381,384,387,388,391,393,394,399,400,401,402,404,405,406,408,
409,410,411,412,415,417,418,419,420,421,423,427,434,436,439,440,441,442,444,
445,446,447,454,455,456,458,460,463,464,465,467,470,472,474,475,476,477,478,
479,480,481,483,484,485,487,489,491,494,495,497,503,506,507,513,514,515,658,
661,668,679,690,712,730,731,746,752,755,756,772,774,775,777,783,785,792,804,
814,820,830,837,842,843,845,852,855,876,1047],[1,2,3,4,5,6,8,12,17,19,20,21,
22,23,31,34,40,46,47,48,53,55,77,82,98,107,113,114,118,119,131,136,139,143,
145,147,150,151,155,157,168,170,174,181,186,203,211,222,225,229,235,305,318,
325,409,415,427,447,473,478,488,498,499,500,503,524,550,553,563,570,661,794,
816,854,860,870,873,1048],[1,2,3,4,6,7,8,11,12,13,18,19,20,22,25,28,29,31,34,
35,36,37,39,40,41,42,46,49,50,51,52,54,55,59,60,70,98,99,101,104,105,111,113,
119,121,123,126,127,128,131,133,135,137,139,142,144,149,150,152,155,158,163,
174,178,179,182,184,187,195,199,200,206,209,214,226,227,228,230,232,233,234,
236,237,286,288,321,335,366,367,383,385,390,395,409,423,429,430,431,455,482,
505,518,519,533,540,552,554,556,558,559,697,764,788,791,811,847,867,1049],[1,
2,3,4,5,6,7,8,12,17,18,19,21,22,23,25,26,28,29,31,34,35,36,37,39,40,41,42,44,
46,49,50,52,55,56,57,58,59,60,76,82,97,99,101,102,105,111,121,123,126,129,131,
136,138,139,140,143,144,146,147,149,151,153,156,158,165,173,174,179,181,182,
191,195,197,198,199,200,206,209,213,214,226,227,228,230,231,233,234,236,237,
239,240,241,243,286,295,309,365,371,383,388,390,399,402,430,431,447,480,517,
523,529,537,538,539,542,552,554,556,557,562,567,571,572,668,749,763,811,847,
849,856,1050],[1,3,4,5,7,14,16,18,20,21,23,24,30,33,35,38,48,59,81,83,85,164,
167,177,188,189,195,201,208,216,222,278,308,330,398,413,469,509,664,685,723,
1051],[1,3,6,7,10,18,22,25,26,27,28,40,49,50,52,59,60,69,76,78,91,100,103,111,
119,159,180,185,195,200,236,237,239,242,243,248,282,301,314,333,373,410,437,
438,518,526,537,556,624,656,766,826,846,858,865,1052],[1,3,5,6,7,8,10,18,19,
21,22,25,26,28,34,40,45,49,50,52,57,59,60,71,76,96,100,101,103,107,119,131,
136,143,147,155,159,160,170,173,180,181,183,191,195,200,236,237,239,243,246,
250,282,315,333,344,363,373,399,411,437,438,439,463,503,518,537,554,555,655,
731,744,765,829,858,865,1053],[1,2,3,4,6,7,8,11,12,13,18,19,20,22,31,34,37,39,
40,41,46,47,48,51,53,54,55,70,98,99,102,105,113,114,115,118,127,135,139,141,
145,147,156,157,159,163,171,174,187,191,203,207,210,222,225,229,232,318,321,
335,340,386,394,457,473,480,488,491,495,499,500,550,563,565,569,570,672,794,
806,844,860,871,874,1054],[1,3,4,5,6,7,8,14,18,19,20,21,27,28,30,34,35,36,40,
41,45,48,49,50,52,58,59,78,81,83,85,96,101,111,115,124,132,137,141,149,151,
153,154,161,170,171,178,183,186,188,195,200,209,216,218,242,246,248,250,278,
287,297,306,322,360,379,398,446,452,468,483,487,515,526,554,555,556,664,675,
724,797,798,838,839,1055],[1,3,4,5,6,7,8,14,19,20,21,22,25,26,30,34,35,36,40,
41,44,48,49,50,52,57,60,76,80,84,85,97,104,118,119,124,126,131,143,147,148,
161,168,169,173,175,178,181,186,191,209,216,218,236,237,239,240,241,243,274,
289,312,319,331,355,379,384,391,399,418,420,424,427,518,523,537,558,692,712,
729,760,780,851,863,1056],[1,2,3,4,5,7,8,12,17,18,19,20,21,23,31,34,40,47,48,
51,53,54,79,82,98,102,111,113,115,117,135,137,141,142,145,148,155,157,168,170,
176,183,186,187,188,203,211,222,225,229,235,305,307,340,473,479,487,488,489,
498,499,500,501,505,513,549,550,564,565,569,696,853,870,871,873,874,875,
1057],[1,2,3,4,5,6,7,8,12,17,18,20,21,22,23,25,27,28,29,31,34,35,36,37,39,40,
41,42,45,49,50,51,52,54,56,57,58,59,60,78,82,96,99,104,105,114,119,121,123,
126,129,135,137,138,140,141,144,146,148,149,153,156,158,165,171,173,176,179,
182,183,187,188,195,197,199,200,206,209,213,214,215,226,227,228,230,233,234,
236,237,238,242,246,248,250,288,295,334,371,383,390,400,430,431,442,457,468,
474,489,516,517,518,526,527,538,539,543,552,555,557,558,568,572,573,665,749,
762,788,791,810,856,1058],[1,3,8,10,19,20,34,43,53,69,77,79,86,102,108,110,
114,160,178,190,203,222,225,229,283,313,338,346,490,507,510,512,524,549,569,
570,625,657,802,831,861,878,879,1059],[1,3,6,7,8,10,18,19,20,22,34,40,52,53,
56,69,100,103,107,108,110,115,117,118,131,137,138,155,160,171,180,185,190,191,
203,222,225,229,283,292,301,346,350,357,387,393,411,490,496,510,512,553,563,
564,565,657,702,802,818,823,850,868,1060],[1,2,3,4,6,7,8,11,12,13,18,22,25,26,
27,28,29,31,34,35,36,37,39,41,42,43,44,45,46,49,50,51,52,54,55,56,59,60,70,76,
78,86,96,97,99,105,121,123,126,127,128,133,138,139,144,149,152,158,163,179,
182,184,187,195,198,199,200,206,209,214,215,226,227,228,230,231,232,233,234,
236,237,238,239,240,241,242,243,245,246,248,249,250,309,334,335,353,366,383,
385,390,395,429,430,431,482,485,516,519,523,526,527,529,533,537,540,542,543,
552,555,559,560,562,567,568,571,573,627,762,763,764,810,849,867,881,882,885,
886,1061],[1,3,5,6,8,10,19,20,21,22,34,40,44,53,57,71,77,97,102,108,110,117,
118,131,136,147,148,150,151,156,160,170,173,178,180,181,203,222,225,229,283,
292,323,338,363,368,388,412,415,420,490,510,512,524,563,564,569,653,690,790,
818,861,868,879,1062],[1,2,3,4,5,7,8,10,11,12,13,14,15,16,17,18,20,21,23,24,
29,30,32,33,34,35,38,40,42,47,48,51,54,58,71,74,75,81,82,83,85,87,88,89,90,92,
93,94,95,106,109,112,116,120,122,128,130,134,135,136,140,148,153,164,165,166,
167,168,172,176,177,183,184,185,187,188,189,190,193,194,201,202,204,207,208,
210,211,212,216,217,219,220,221,223,224,235,278,284,293,294,300,302,303,304,
308,311,324,329,330,337,341,343,352,359,375,376,382,392,396,413,425,432,448,
449,453,459,461,462,469,489,493,502,504,508,511,520,532,534,535,536,547,548,
566,654,666,723,737,743,787,799,808,815,824,834,841,859,862,872,1063],[1,3,5,
7,8,10,18,19,20,21,34,40,45,53,58,71,79,96,107,108,110,114,115,137,141,142,
148,151,153,156,168,176,178,185,188,190,203,222,225,229,283,313,323,350,376,
442,446,450,477,490,501,510,512,549,553,565,570,653,684,790,823,831,850,878,
1064],[1,3,4,5,6,7,8,14,18,20,21,22,29,30,34,35,39,40,42,47,53,56,57,79,81,83,
85,104,114,117,118,125,137,138,141,142,143,148,159,162,168,169,173,175,188,
199,204,212,214,222,229,278,298,299,327,332,369,381,391,400,417,426,451,501,
509,549,563,564,570,662,685,732,835,840,848,857,1065],[1,2,3,4,5,6,7,8,11,13,
14,15,17,19,21,22,23,24,25,29,30,32,33,35,36,38,39,41,42,46,47,48,49,50,51,52,
53,54,55,57,58,80,84,85,87,93,94,112,116,124,125,126,127,128,129,133,134,140,
144,146,152,161,162,163,165,166,167,179,181,184,193,194,196,197,199,202,203,
204,205,206,207,209,210,211,212,214,216,217,218,219,221,224,230,233,235,236,
244,247,274,289,312,317,328,329,336,337,339,342,347,355,356,358,364,366,372,
374,377,378,379,380,389,397,403,407,414,422,429,443,451,466,471,517,520,525,
528,532,533,535,536,538,539,540,545,546,681,682,692,741,742,748,750,754,758,
770,776,778,782,805,817,1066],[1,2,3,4,5,6,7,8,11,13,14,15,17,18,20,21,23,24,
28,29,30,32,33,35,36,38,39,41,42,46,47,48,49,50,51,52,53,54,55,57,58,81,83,85,
87,93,94,112,116,124,125,127,128,129,133,134,140,144,146,149,152,161,162,163,
165,166,167,179,184,188,193,194,196,197,199,200,202,204,205,206,207,209,210,
211,212,214,216,217,218,219,221,224,229,230,233,235,244,247,278,293,294,298,
306,311,322,324,327,329,337,356,358,360,364,369,372,374,377,378,379,380,389,
395,397,407,414,422,443,451,466,471,482,517,520,525,528,532,533,535,536,538,
540,545,546,557,666,675,732,740,747,748,750,753,761,770,773,776,779,800,828,
1067],[1,3,4,5,6,9,10,11,14,16,21,22,23,24,29,30,33,36,38,40,48,64,84,93,94,
95,106,133,143,146,164,180,189,192,208,218,251,252,253,258,284,296,342,428,
448,462,504,587,590,595,789,887,1068],[1,3,4,6,9,14,16,20,22,26,36,62,73,76,
79,81,84,104,118,169,251,254,269,299,331,576,601,610,616,1069],[1,2,3,4,6,7,9,
10,12,14,18,22,25,28,35,36,37,41,49,50,52,65,72,83,84,99,100,121,123,124,126,
149,158,200,209,236,252,256,257,275,282,289,306,390,594,606,609,617,889,
1070],[1,3,8,9,10,19,20,34,61,77,102,110,160,178,222,252,283,338,512,585,861,
888,1071],[1,3,6,9,10,19,20,22,40,64,110,117,118,131,180,225,252,283,292,490,
595,818,888,1072],[1,2,3,4,5,9,10,11,12,13,14,15,16,17,21,23,24,30,32,33,38,
62,69,70,71,72,73,75,82,85,92,93,95,109,112,130,164,172,194,208,251,252,253,
258,267,270,272,284,343,432,576,577,591,603,618,887,1073],[1,2,3,4,9,10,12,14,
19,20,65,72,80,81,110,113,252,280,283,594,620,888,1074],[1,3,6,7,8,9,10,18,20,
22,25,28,34,44,49,50,52,60,66,97,100,104,141,190,200,236,237,240,241,252,256,
257,282,310,373,523,558,586,597,825,889,1075],[1,2,3,4,5,9,10,11,12,13,14,15,
16,17,21,23,24,30,32,33,38,63,71,74,75,82,85,87,88,89,90,92,93,95,109,112,122,
130,134,164,166,167,172,177,194,208,251,252,253,258,284,308,337,343,352,425,
432,453,461,579,584,588,600,654,887,1076],[1,3,5,8,9,10,19,20,21,34,53,63,71,
108,110,148,151,203,229,252,283,323,510,588,653,888,1077],[1,3,4,5,7,9,10,11,
14,16,18,21,23,24,30,33,35,38,40,42,48,67,83,93,95,106,116,128,140,164,183,
185,189,201,208,216,251,252,253,258,284,300,324,382,413,448,511,580,582,592,
834,887,1078],[1,3,4,5,8,9,10,11,14,16,20,21,23,24,29,30,33,34,38,47,48,66,81,
93,94,95,120,148,164,189,190,204,208,210,223,235,251,252,253,258,284,293,341,
392,469,502,504,575,586,593,808,887,1079],[1,3,4,5,8,9,10,11,14,16,19,21,23,
24,30,33,34,38,42,47,48,61,80,93,95,116,120,151,160,164,189,208,210,212,220,
235,251,252,253,258,284,328,351,382,433,502,508,581,583,585,767,887,1080],[1,
3,7,9,10,18,19,20,40,67,107,110,115,137,185,222,252,283,350,512,592,823,888,
1081],[1,3,6,7,8,9,10,18,19,22,25,28,34,45,49,50,52,59,61,96,100,101,147,160,
195,200,236,246,250,252,256,257,282,315,438,554,555,585,608,829,889,1082],[1,
3,6,7,9,10,18,22,25,28,40,49,50,52,62,69,100,103,180,185,200,236,252,256,257,
282,301,437,591,656,889,1083],[1,3,6,7,9,10,18,22,25,26,28,40,49,50,52,60,64,
76,100,119,159,180,200,236,237,239,243,252,256,257,282,333,373,518,537,595,
602,865,889,1084],[1,3,8,9,10,19,20,34,53,62,69,108,110,160,190,203,229,252,
283,346,510,591,657,888,1085],[1,3,4,7,9,14,16,18,19,27,35,62,73,77,78,80,83,
101,115,154,251,255,279,287,290,576,604,611,619,1086],[1,3,5,6,7,9,10,18,21,
22,25,28,40,49,50,52,63,71,100,103,143,183,200,236,252,256,257,282,344,437,
588,655,889,1087],[1,2,3,4,5,9,10,11,12,14,16,21,23,24,30,32,33,38,65,72,73,
85,87,89,90,93,95,109,122,130,164,167,177,208,251,252,253,258,272,273,284,308,
461,578,589,594,598,621,887,1088],[1,3,6,7,9,10,18,22,25,27,28,40,49,50,52,59,
67,78,100,111,159,185,195,200,236,242,248,252,256,257,282,314,438,526,556,592,
605,826,889,1089],[1,3,8,9,10,19,20,34,66,79,110,114,178,190,225,252,283,313,
490,586,831,888,1090],[1,2,3,4,6,7,8,9,11,12,13,18,22,26,27,31,34,37,39,41,43,
44,45,46,51,54,55,56,62,70,76,78,86,96,97,99,105,127,138,139,163,187,198,215,
231,232,238,245,249,253,254,255,262,309,334,335,353,485,560,577,601,604,613,
627,890,1091],[1,2,3,4,9,10,12,14,48,65,72,145,161,189,252,348,594,623,1092],[
1,3,8,9,10,19,20,34,43,53,62,69,77,79,86,102,108,110,114,160,178,190,252,262,
313,338,346,507,591,610,611,613,625,1093],[1,4,6,7,8,9,11,25,26,27,29,36,39,
41,43,44,45,46,50,51,56,59,60,64,126,127,133,144,198,215,226,230,234,240,243,
245,246,248,253,254,255,262,353,366,527,529,542,559,568,590,596,607,885,890,
1094],[1,4,6,7,8,9,11,26,27,28,35,39,41,42,43,44,45,46,49,51,56,59,60,67,127,
128,149,179,198,214,215,226,234,239,241,242,245,250,253,254,255,262,353,395,
516,543,559,562,567,580,599,612,881,890,1095],[1,2,3,4,9,11,12,13,19,20,40,62,
70,77,79,91,98,107,113,117,135,174,186,253,307,321,325,497,577,610,611,614,
622,1096],[1,3,4,8,9,14,16,34,40,43,47,62,73,86,91,106,120,132,155,156,175,
251,262,349,406,476,576,613,614,626,1097],[1,3,6,7,9,10,18,22,26,27,40,52,62,
69,76,78,91,100,103,111,119,159,180,185,252,254,255,301,314,333,410,591,601,
604,614,624,1098],[1,3,5,7,8,9,18,20,21,24,27,34,40,43,58,62,75,78,79,86,91,
136,137,141,142,148,153,168,171,183,188,255,258,262,375,445,468,484,501,603,
604,610,613,614,659,1099],[1,2,3,4,5,6,7,8,9,11,12,13,15,16,17,29,30,31,32,33,
35,36,37,38,42,46,47,48,51,52,53,54,55,57,58,61,62,63,64,65,66,67,70,87,88,90,
128,130,133,145,152,157,158,166,172,182,184,192,193,196,201,202,204,205,207,
210,212,213,216,217,218,219,220,221,223,224,232,244,247,253,259,260,261,263,
264,265,266,285,385,386,520,521,522,525,530,531,532,545,548,551,561,566,577,
579,580,583,589,590,593,615,883,892,899,900,901,903,904,910,1100],[1,2,3,4,5,
6,7,8,9,10,12,14,15,18,19,20,21,22,34,38,40,46,51,52,53,54,55,57,58,61,62,63,
64,65,66,67,69,71,72,92,95,100,103,108,110,132,135,136,139,153,154,160,168,
169,170,173,174,175,176,180,181,185,187,188,190,244,247,252,259,260,261,263,
264,265,266,267,301,346,362,363,370,376,435,440,464,467,472,481,486,493,585,
586,588,591,592,594,595,615,822,891,895,897,902,905,906,911,1101],[1,2,3,4,5,
6,7,8,9,13,14,15,16,23,29,32,35,36,39,41,42,47,48,52,53,54,55,57,58,61,62,63,
64,65,66,67,73,88,89,112,124,125,140,146,152,161,162,163,184,192,193,197,201,
202,205,207,220,223,224,235,244,251,259,260,261,263,264,265,266,268,358,361,
397,407,416,471,522,544,547,548,575,576,578,581,582,584,587,615,781,893,894,
896,898,907,908,909,1102],[1,3,5,6,8,9,19,21,22,24,26,34,40,43,57,62,75,76,77,
86,91,131,143,147,150,151,170,173,176,181,191,254,258,262,399,415,460,465,506,
601,603,611,613,614,658,1103],[1,2,3,4,5,6,7,8,10,11,12,13,14,15,16,17,18,19,
20,21,22,23,24,26,27,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,51,52,
53,54,55,56,57,58,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,91,92,93,
95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,
115,117,118,119,120,124,125,127,130,131,132,135,136,137,138,139,141,142,143,
147,148,150,151,153,154,155,156,157,158,159,160,163,164,168,169,170,171,172,
173,174,175,176,178,180,181,183,185,186,187,188,190,191,193,194,196,197,198,
205,208,213,215,219,231,232,238,244,245,247,249,267,269,270,271,272,274,275,
276,278,279,280,284,286,287,288,290,291,292,295,296,297,299,300,301,302,303,
304,305,307,309,310,313,314,315,318,319,321,323,325,326,331,332,333,334,335,
338,340,341,343,344,345,346,349,350,351,353,354,357,362,363,364,365,367,368,
370,375,376,381,384,387,388,391,393,394,399,400,401,402,404,405,406,407,408,
409,410,411,412,415,417,418,419,420,421,423,426,427,432,434,435,436,439,440,
441,442,444,445,446,447,450,452,454,455,456,457,458,460,463,464,465,467,468,
470,472,474,475,476,477,478,479,480,481,483,484,485,486,487,489,491,493,494,
495,496,497,501,503,505,506,507,513,514,515,530,560,616,618,619,622,624,625,
626,627,629,634,638,640,641,642,647,652,658,659,661,662,665,668,669,672,673,
677,679,684,690,693,696,697,702,707,712,717,718,722,724,730,731,733,737,746,
752,755,756,757,768,771,772,774,775,777,783,784,785,786,792,796,801,804,809,
812,813,814,820,821,822,830,832,833,836,837,842,843,845,852,855,866,876,934,
942,954,959,974,978,1009,1017,1041,1047,1104],[1,2,3,4,5,6,7,10,11,12,14,16,
18,19,20,21,22,23,24,25,28,30,32,33,35,36,37,38,41,48,49,50,52,72,73,80,81,83,
84,85,87,89,90,93,95,99,100,109,110,113,121,122,123,124,126,130,145,149,154,
158,161,164,167,169,177,181,188,189,192,200,201,208,209,216,218,236,269,272,
273,274,275,278,279,280,282,283,284,289,306,308,312,320,322,330,348,355,360,
379,390,413,416,428,433,461,469,470,472,488,531,617,620,621,623,638,643,646,
649,674,675,683,687,692,694,695,699,703,721,723,936,938,949,989,1105],[1,2,3,
4,5,6,7,8,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,29,30,31,32,33,34,35,
36,37,38,39,40,41,42,46,47,48,51,52,53,54,55,57,58,69,70,71,72,73,74,75,80,81,
82,83,84,85,87,88,89,90,92,93,94,95,98,99,100,103,105,106,108,109,110,112,113,
116,120,122,124,125,127,128,129,130,132,133,134,135,136,139,140,143,145,146,
148,151,152,153,154,157,158,160,161,162,163,164,165,166,167,168,169,170,172,
173,174,175,176,177,180,181,182,183,184,185,187,188,189,190,192,193,194,196,
197,201,202,204,205,207,208,210,211,212,213,216,217,218,219,220,221,223,224,
232,235,244,247,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,
284,285,291,293,294,295,296,300,301,302,303,304,305,308,311,316,317,320,321,
323,324,328,329,330,335,336,337,341,342,343,344,345,346,348,349,351,352,358,
359,361,362,363,364,370,371,374,375,376,378,379,382,385,386,391,392,396,397,
401,407,413,416,425,428,432,433,435,436,440,443,447,448,449,451,453,454,456,
458,459,461,462,464,467,469,470,471,472,481,483,486,489,493,498,502,504,506,
508,511,520,521,522,525,528,530,531,532,534,535,536,541,544,545,546,547,548,
551,561,566,618,621,630,631,634,638,640,641,642,643,644,648,650,651,652,654,
666,671,673,674,676,681,683,691,694,698,699,704,710,714,715,716,717,721,723,
726,728,730,734,735,736,737,743,745,748,750,751,755,767,781,787,789,793,795,
799,803,808,815,822,824,827,832,834,841,842,859,862,872,880,883,884,921,934,
940,943,947,948,949,964,988,1003,1013,1024,1031,1037,1038,1044,1063,1106],[1,
2,3,4,5,6,7,8,10,12,14,16,18,19,20,21,22,26,30,32,33,34,35,36,37,38,40,41,44,
46,47,48,52,55,56,57,72,73,76,79,80,81,83,84,85,95,97,99,100,104,106,109,110,
113,114,117,118,119,120,124,130,131,132,135,137,138,139,141,142,143,145,147,
148,154,158,159,161,164,168,169,173,175,178,180,181,186,188,189,190,191,196,
198,205,225,231,269,272,274,275,278,279,280,283,288,291,292,296,299,304,307,
309,310,313,318,319,331,332,333,341,348,349,354,355,360,362,367,381,384,391,
393,399,400,408,417,418,419,420,421,426,427,433,436,441,452,469,470,472,486,
488,490,491,492,494,500,501,616,620,638,646,647,662,663,669,673,677,695,699,
705,712,718,739,777,794,801,818,831,833,845,875,932,938,954,1021,1022,1107],[
1,2,3,4,5,6,7,8,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,28,29,30,31,
32,33,34,35,36,37,38,39,41,42,46,47,48,49,50,51,52,53,54,55,57,58,70,72,73,80,
81,82,83,84,85,87,88,89,90,92,93,94,95,99,100,105,108,109,110,112,113,116,120,
121,122,123,124,125,126,127,128,129,130,133,134,139,140,144,145,146,149,152,
153,154,157,158,161,162,163,164,165,166,167,169,172,173,177,179,181,182,184,
187,188,189,192,193,194,196,197,199,200,201,202,203,204,205,206,207,208,209,
210,211,212,213,214,216,217,218,219,220,221,223,224,229,230,232,233,235,236,
244,247,268,269,270,271,272,273,274,275,277,278,279,280,281,282,285,289,291,
293,294,295,298,303,306,311,312,316,317,322,324,327,328,329,335,336,337,339,
342,347,348,355,356,358,359,360,361,364,366,369,370,371,372,374,377,378,379,
380,385,386,389,390,392,395,397,403,407,413,414,416,422,425,428,429,430,432,
443,449,451,453,459,461,466,470,471,472,482,498,499,502,508,510,517,520,521,
522,525,528,530,531,532,533,534,535,536,538,539,540,541,544,545,546,547,548,
551,552,557,561,566,617,630,631,632,635,638,642,644,645,648,649,650,651,666,
667,674,675,676,680,681,682,686,687,692,695,703,704,708,715,725,728,732,735,
740,741,742,745,747,748,750,753,754,758,759,761,764,769,770,773,776,778,779,
781,782,793,795,800,805,817,824,828,856,872,883,884,936,948,953,957,965,971,
975,984,990,997,1002,1016,1024,1066,1067,1108],[1,2,3,4,5,6,7,8,10,11,12,14,
16,18,19,20,21,22,23,24,26,29,30,32,33,34,35,36,37,38,40,41,44,46,47,48,52,55,
56,57,72,73,76,79,80,81,83,84,85,87,89,90,93,94,95,97,99,100,104,106,109,110,
113,114,117,118,119,120,122,124,130,131,132,133,135,137,138,139,141,142,143,
145,146,147,148,154,158,159,161,164,167,168,169,173,175,177,178,180,181,186,
188,189,190,191,192,196,198,201,204,205,208,210,216,218,221,223,224,231,235,
269,272,273,274,275,278,279,280,281,284,288,291,292,293,296,299,304,307,308,
309,310,313,318,319,320,330,331,332,333,341,342,348,349,354,362,367,379,381,
384,391,392,393,399,400,408,413,416,417,418,419,420,421,426,427,428,433,436,
441,448,449,452,461,462,469,470,472,486,491,494,501,502,504,521,528,531,544,
545,616,621,631,633,636,638,639,643,647,662,669,670,673,674,677,678,683,694,
699,710,712,718,721,723,726,727,736,743,777,789,793,801,808,833,845,946,949,
954,956,969,972,977,988,1010,1109],[1,2,3,4,5,6,7,10,12,14,16,18,19,20,21,22,
29,30,32,33,35,36,37,38,40,41,42,48,52,72,73,80,81,83,84,85,94,95,98,99,100,
103,106,109,110,113,116,124,130,144,154,158,162,164,169,179,181,182,188,189,
202,217,225,233,269,272,274,275,276,277,278,279,280,316,320,380,382,422,430,
437,459,462,470,472,490,492,500,511,628,636,637,638,645,663,688,691,705,709,
714,739,932,933,939,1110],[1,2,3,4,5,6,7,8,10,11,12,14,16,18,19,20,21,22,23,
24,29,30,31,32,33,34,35,36,37,38,39,40,41,42,47,48,52,53,72,73,80,81,83,84,85,
87,89,90,93,94,95,98,99,100,103,105,106,108,109,110,113,116,120,122,124,125,
130,132,136,144,145,154,157,158,161,162,164,167,169,175,176,177,179,181,182,
188,189,192,199,201,203,204,206,208,212,214,216,218,220,223,229,230,233,269,
271,272,273,274,275,276,277,278,279,280,281,284,298,302,308,316,320,327,329,
330,339,347,348,349,356,361,369,372,377,379,380,389,392,403,413,414,416,422,
428,430,433,437,451,456,461,462,464,466,469,470,472,499,508,510,511,531,550,
551,552,621,632,635,637,638,640,643,644,645,667,674,680,682,683,686,688,694,
698,699,704,708,713,714,720,721,723,725,732,736,759,769,770,776,859,939,943,
949,957,967,971,1001,1025,1036,1111],[1,2,3,4,5,6,7,8,10,11,12,13,14,15,16,17,
18,19,20,21,22,23,24,25,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,46,47,48,
49,50,51,52,53,54,55,57,58,69,70,71,72,73,75,80,81,82,83,84,85,92,93,94,95,98,
99,100,103,105,106,108,109,110,112,113,116,120,121,123,124,125,126,127,128,
129,130,132,133,135,136,139,140,143,144,145,146,148,149,151,152,153,154,157,
158,160,161,162,163,164,165,168,169,170,172,173,174,175,176,179,180,181,182,
183,184,185,187,188,189,190,192,193,194,196,197,199,200,201,205,206,208,209,
213,214,216,218,219,230,232,233,236,244,247,267,269,270,271,272,274,275,276,
278,279,280,282,284,289,291,295,296,300,301,302,303,304,305,306,311,312,316,
317,321,322,323,324,335,341,342,343,344,345,346,348,349,351,355,356,360,362,
363,364,366,369,370,371,374,375,376,379,380,382,385,390,391,395,396,397,401,
403,407,413,414,416,422,428,429,430,432,435,436,437,440,447,448,454,456,458,
462,464,467,470,472,481,482,483,486,489,493,504,506,511,517,530,531,533,538,
539,540,550,552,557,617,618,634,637,638,640,641,642,645,649,652,655,656,671,
673,674,675,676,686,687,688,692,695,703,713,714,716,717,720,730,737,747,751,
753,755,764,778,782,789,822,832,834,841,842,856,924,934,936,937,939,950,953,
964,985,991,1001,1112],[1,2,3,4,5,6,7,8,10,12,14,16,18,19,20,21,22,29,30,31,
32,33,34,35,36,37,38,39,41,42,47,48,52,53,60,72,73,80,81,83,84,85,94,95,99,
100,105,108,109,110,113,116,120,124,125,130,154,157,158,162,164,169,181,182,
188,189,199,202,203,204,206,212,214,217,220,223,226,227,229,230,237,269,271,
272,274,275,277,278,279,280,298,316,320,327,339,347,356,361,369,373,382,383,
392,403,414,424,451,459,470,472,499,508,510,551,552,628,632,635,636,638,680,
682,686,689,691,704,706,709,725,729,732,933,944,957,980,1035,1113],[1,2,3,4,5,
6,7,8,10,12,14,16,18,19,20,21,22,26,29,30,32,33,34,35,36,37,38,40,41,42,44,46,
47,52,55,56,57,59,72,73,76,79,80,81,83,84,85,94,95,97,98,99,100,103,104,106,
109,110,113,114,116,117,118,119,120,124,130,131,132,135,137,138,139,141,142,
143,144,147,148,154,158,159,162,164,168,169,173,175,178,179,180,181,182,186,
188,190,191,195,196,198,205,228,231,233,234,269,272,274,275,276,278,279,280,
288,291,292,296,299,304,307,309,310,313,316,318,319,331,332,333,341,349,354,
362,367,380,381,384,391,393,398,399,400,408,417,418,419,420,421,422,426,427,
430,431,436,437,438,441,452,462,470,472,486,491,494,501,511,542,567,616,637,
638,645,647,660,662,664,669,673,677,688,711,712,714,718,777,788,801,833,845,
849,858,864,939,941,954,979,981,1114],[1,2,3,4,5,6,7,8,10,12,14,16,18,19,20,
21,22,25,27,28,30,32,33,34,35,36,37,38,40,41,45,47,48,49,50,51,52,54,56,58,59,
72,73,77,78,80,81,83,84,85,95,96,99,100,101,102,106,107,109,110,111,113,115,
120,121,123,124,126,130,131,132,137,138,141,145,147,149,150,151,153,154,158,
159,160,161,164,169,170,171,174,175,178,181,183,185,186,187,188,189,192,193,
195,200,201,209,215,216,218,219,228,234,236,238,242,246,248,250,269,272,274,
275,278,279,280,282,286,287,289,290,297,300,303,306,312,314,315,322,325,326,
334,338,340,345,348,349,350,351,355,360,365,379,387,390,394,398,404,405,413,
415,416,418,419,423,426,428,431,435,438,439,441,444,446,452,458,467,468,470,
472,483,487,494,514,515,516,526,527,531,554,555,556,573,617,619,629,638,649,
660,664,669,674,675,679,687,692,695,703,707,711,717,724,733,762,774,783,784,
797,798,812,826,829,838,839,847,936,941,942,987,999,1011,1012,1055,1115],[1,2,
3,4,5,6,7,8,10,12,14,16,18,19,20,21,22,27,30,32,33,34,35,36,37,38,40,41,45,47,
48,51,52,54,56,58,72,73,77,78,80,81,83,84,85,95,96,99,100,101,102,106,107,109,
110,111,113,115,120,124,130,131,132,137,138,141,145,147,150,151,153,154,158,
159,160,161,164,169,170,171,174,175,178,181,183,185,186,187,188,189,193,215,
219,222,238,269,272,274,275,278,279,280,283,286,287,290,297,300,303,314,315,
325,326,334,338,340,345,348,349,350,351,355,360,365,387,394,404,405,415,418,
419,423,426,433,435,439,441,444,446,452,458,467,468,469,470,472,473,483,487,
488,494,509,512,514,515,619,620,629,638,646,669,679,685,695,699,701,707,717,
719,724,733,774,783,784,812,816,823,861,874,938,942,952,1014,1034,1116],[1,2,
3,4,5,6,7,10,12,14,16,18,19,20,21,22,25,28,30,32,33,35,36,37,38,41,42,48,49,
50,52,72,73,80,81,83,84,85,95,99,100,109,110,113,116,121,123,124,126,130,145,
149,154,158,161,164,169,181,188,189,192,200,201,202,209,216,217,218,222,236,
269,272,274,275,277,278,279,280,282,289,306,312,320,322,348,355,360,379,382,
390,413,416,428,459,470,472,473,509,512,531,617,628,636,638,649,674,675,685,
687,691,692,695,701,703,709,719,933,936,952,961,968,1117],[1,2,3,4,5,6,7,8,10,
12,14,16,18,19,20,21,22,25,26,28,30,32,33,34,35,36,37,38,40,41,44,46,47,48,49,
50,52,55,56,57,60,72,73,76,79,80,81,83,84,85,95,97,99,100,104,106,109,110,113,
114,117,118,119,120,121,123,124,126,130,131,132,135,137,138,139,141,142,143,
145,147,148,149,154,158,159,161,164,168,169,173,175,178,180,181,186,188,189,
190,191,192,196,198,200,201,205,209,216,218,226,227,231,236,237,239,240,241,
243,269,272,274,275,278,279,280,282,288,289,291,292,296,299,304,306,307,309,
310,312,313,318,319,322,331,332,333,341,348,349,354,355,360,362,367,373,379,
381,383,384,390,391,393,399,400,408,413,416,417,418,419,420,421,424,426,427,
428,436,441,452,470,472,486,491,494,501,518,523,529,531,537,558,562,571,616,
617,638,647,649,662,669,673,674,675,677,687,689,692,695,703,706,712,718,729,
760,763,777,780,791,801,825,833,845,851,863,865,936,944,954,962,963,970,993,
1056,1118],[1,2,3,4,5,6,7,10,11,12,14,16,18,19,20,21,22,23,24,30,32,33,35,36,
37,38,41,48,52,59,72,73,80,81,83,84,85,87,89,90,93,95,99,100,109,110,113,122,
124,130,145,154,158,161,164,167,169,177,181,188,189,192,195,201,208,216,218,
222,228,234,269,272,273,274,275,278,279,280,284,308,320,330,348,379,398,413,
416,428,431,433,438,461,469,470,472,473,509,512,531,621,638,643,660,664,674,
683,685,694,699,701,711,719,721,723,941,949,952,1051,1119],[1,2,3,4,5,6,7,10,
12,14,16,18,19,20,21,22,30,32,33,35,36,37,38,41,42,48,52,59,72,73,80,81,83,84,
85,95,99,100,109,110,113,116,124,130,145,154,158,161,164,169,181,188,189,195,
202,217,228,234,269,272,274,275,277,278,279,280,283,320,348,355,360,382,398,
431,433,438,459,469,470,472,488,620,628,636,638,646,660,664,691,695,699,709,
711,933,938,941,1120],[1,2,3,4,5,6,7,10,11,12,13,14,15,16,17,18,19,20,21,22,
23,24,29,30,32,33,35,36,37,38,41,42,52,59,70,72,73,80,81,82,83,84,85,87,88,89,
90,92,93,94,95,99,100,109,110,112,113,116,122,124,128,129,130,133,134,140,146,
152,154,158,162,164,165,166,167,169,172,177,181,182,184,188,194,195,208,225,
228,234,268,269,270,272,273,274,275,277,278,279,280,281,285,293,294,311,316,
317,324,328,329,336,337,342,371,374,385,397,398,425,431,432,438,453,461,470,
472,490,492,500,630,631,638,644,648,650,651,660,663,664,666,676,681,705,711,
728,739,932,941,948,1030,1033,1121],[1,2,3,4,5,6,7,10,12,14,16,18,19,20,21,22,
29,30,32,33,35,36,37,38,40,41,42,48,52,72,73,80,81,83,84,85,94,95,98,99,100,
103,106,109,110,113,116,124,130,144,154,158,162,164,169,179,181,182,188,189,
221,222,224,233,269,272,274,275,276,278,279,280,281,316,320,380,422,430,437,
449,462,470,472,473,504,509,511,512,633,637,638,639,645,670,685,688,701,714,
719,726,939,952,956,1122],[1,2,3,4,5,6,7,8,10,11,12,13,14,15,16,17,18,19,20,
21,22,23,24,29,30,31,32,33,34,35,36,37,38,39,40,41,42,46,47,48,51,52,53,54,55,
57,58,69,70,71,72,73,75,80,81,82,83,84,85,92,93,94,95,98,99,100,103,105,106,
108,109,110,112,113,116,120,124,125,127,130,132,135,136,139,143,145,148,151,
153,154,157,158,160,161,162,163,164,168,169,170,172,173,174,175,176,180,181,
182,183,185,187,188,189,190,193,194,196,197,199,203,204,205,206,207,208,210,
211,212,213,214,219,220,223,229,230,232,235,244,247,267,269,270,271,272,274,
275,276,278,279,280,283,284,291,293,294,295,296,298,300,301,302,303,304,305,
316,321,323,327,328,335,336,339,341,343,344,345,346,347,348,349,351,355,356,
359,360,361,362,363,364,369,370,372,375,376,378,382,386,391,392,401,403,407,
414,432,433,435,436,440,447,451,454,456,458,464,466,467,469,470,471,472,481,
483,486,488,489,493,498,499,502,504,506,508,510,530,550,551,552,618,620,632,
634,635,638,640,641,642,646,652,653,657,667,671,673,680,682,686,688,695,699,
704,717,720,725,728,730,732,735,737,740,754,755,767,779,803,808,815,817,822,
832,842,844,870,925,931,934,935,938,945,957,967,985,997,1038,1123],[1,2,3,4,5,
6,7,8,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,26,29,30,32,33,34,35,36,37,
38,40,41,42,44,46,47,48,52,55,56,57,70,72,73,76,79,80,81,82,83,84,85,87,88,89,
90,92,93,94,95,97,99,100,104,106,109,110,112,113,114,116,117,118,119,120,122,
124,128,129,130,131,132,133,134,135,137,138,139,140,141,142,143,146,147,148,
152,154,158,159,162,164,165,166,167,168,169,172,173,175,177,178,180,181,182,
184,186,188,189,190,191,192,194,196,198,202,205,207,208,211,212,217,218,220,
231,268,269,270,272,273,274,275,277,278,279,280,281,285,288,291,292,293,294,
296,299,304,307,309,310,311,313,316,317,318,319,320,324,328,329,331,332,333,
336,337,341,342,349,354,359,362,367,371,374,381,382,384,385,391,393,396,397,
399,400,408,417,418,419,420,421,425,426,427,428,432,436,441,452,453,459,461,
469,470,472,486,491,494,501,508,511,522,525,541,546,616,628,630,631,636,638,
644,647,648,650,651,662,666,669,670,673,676,677,681,683,691,698,700,709,712,
718,728,734,738,751,777,787,795,801,815,833,845,922,928,933,946,948,954,955,
976,995,1007,1013,1124],[1,2,3,4,5,6,7,8,10,12,14,16,18,19,20,21,22,26,29,30,
31,32,33,34,35,36,37,38,39,40,41,42,44,46,47,52,53,55,56,57,72,73,76,79,80,81,
83,84,85,94,95,97,99,100,104,105,106,108,109,110,113,114,116,117,118,119,120,
124,125,130,131,132,135,137,138,139,141,142,143,147,148,154,157,158,159,162,
164,168,169,173,175,178,180,181,182,186,188,190,191,196,198,199,203,204,205,
206,212,214,220,222,223,229,230,231,269,271,272,274,275,278,279,280,288,291,
292,296,298,299,304,307,309,310,313,316,318,319,327,331,332,333,339,341,347,
349,354,356,361,362,367,369,381,384,391,392,393,399,400,403,408,414,417,418,
419,420,421,426,427,436,441,451,452,470,472,473,486,491,494,499,501,508,509,
510,512,549,551,552,563,564,570,616,632,635,638,647,662,669,673,677,680,682,
685,686,701,704,712,718,719,725,732,777,801,833,835,840,845,848,853,857,860,
868,878,952,954,957,966,1005,1019,1020,1065,1125],[1,2,3,4,5,6,7,10,12,14,16,
18,19,20,21,22,29,30,32,33,35,36,37,38,41,48,52,60,72,73,80,81,83,84,85,94,95,
99,100,109,110,113,124,130,145,154,158,161,164,169,181,188,189,221,224,226,
227,237,269,272,274,275,278,279,280,281,283,320,348,355,360,373,383,424,433,
449,469,470,472,488,504,620,633,638,639,646,670,689,695,699,706,726,729,938,
944,956,1126],[1,2,3,4,5,6,7,8,10,12,14,16,18,19,20,21,22,27,29,30,31,32,33,
34,35,36,37,38,39,40,41,42,45,47,51,52,53,54,56,58,72,73,77,78,80,81,83,84,85,
94,95,96,99,100,101,102,105,106,107,108,109,110,111,113,115,116,120,124,125,
130,131,132,137,138,141,147,150,151,153,154,157,158,159,160,162,164,169,170,
171,174,175,178,181,182,183,185,186,187,188,193,199,203,204,206,212,214,215,
219,220,223,225,229,230,238,269,271,272,274,275,278,279,280,286,287,290,297,
298,300,303,314,315,316,325,326,327,334,338,339,340,345,347,349,350,351,356,
361,365,369,387,392,394,403,404,405,414,415,418,419,423,426,435,439,441,444,
446,451,452,458,467,468,470,472,483,487,490,492,494,499,500,508,510,514,515,
524,551,552,553,565,569,619,629,632,635,638,663,669,679,680,682,686,704,705,
707,717,724,725,732,733,739,774,783,784,807,812,819,850,854,869,871,877,879,
932,942,957,960,1026,1029,1032,1046,1127],[1,2,3,4,5,6,7,8,10,11,12,13,14,15,
16,17,18,19,20,21,22,23,24,27,29,30,32,33,34,35,36,37,38,40,41,42,45,47,48,51,
52,54,56,58,70,72,73,77,78,80,81,82,83,84,85,87,88,89,90,92,93,94,95,96,99,
100,101,102,106,107,109,110,111,112,113,115,116,120,122,124,128,129,130,131,
132,133,134,137,138,140,141,146,147,150,151,152,153,154,158,159,160,162,164,
165,166,167,169,170,171,172,174,175,177,178,181,182,183,184,185,186,187,188,
189,193,194,201,204,207,208,211,215,216,219,221,223,224,238,268,269,270,272,
273,274,275,277,278,279,280,281,285,286,287,290,293,294,297,300,303,311,314,
315,316,317,320,324,325,326,328,329,334,336,337,338,340,342,345,349,350,351,
359,365,371,374,385,387,392,394,396,397,404,405,413,415,418,419,423,425,426,
432,433,435,439,441,444,446,449,452,453,458,461,462,467,468,470,472,483,487,
494,504,514,515,532,534,535,548,619,629,630,631,633,638,639,644,648,650,651,
666,669,670,676,679,681,700,707,709,717,721,724,726,727,728,733,734,736,774,
783,784,803,812,841,872,880,923,929,930,942,948,951,956,972,995,1023,1037,
1128],[1,2,3,4,5,6,7,10,11,12,14,16,18,19,20,21,22,23,24,30,32,33,35,36,37,38,
41,48,52,60,72,73,80,81,83,84,85,87,89,90,93,95,99,100,109,110,113,122,124,
130,145,154,158,161,164,167,169,177,181,188,189,192,201,208,216,218,225,226,
227,237,269,272,273,274,275,278,279,280,284,308,320,330,348,373,379,383,413,
416,424,428,433,461,469,470,472,490,492,500,531,621,638,643,663,674,683,689,
694,699,705,706,721,723,729,739,932,944,949,1045,1129],[1,2,3,4,5,6,7,8,10,11,
12,13,14,15,16,17,18,19,20,21,22,23,24,30,31,32,33,34,35,36,37,38,39,40,41,46,
47,51,52,53,54,55,57,58,69,70,71,72,73,75,80,81,82,83,84,85,92,93,95,98,99,
100,103,105,106,108,109,110,112,113,120,124,125,127,130,132,135,136,139,143,
148,151,153,154,157,158,160,163,164,168,169,170,172,173,174,175,176,180,181,
183,185,187,188,190,193,194,196,197,205,208,213,219,222,225,232,244,247,267,
269,270,271,272,274,275,276,278,279,280,284,291,295,296,300,301,302,303,304,
305,321,323,335,341,343,344,345,346,349,351,362,363,364,370,375,376,391,401,
407,432,435,436,440,447,454,456,458,464,467,470,472,473,481,483,486,489,490,
492,493,500,506,509,512,530,618,634,638,640,641,642,652,663,673,685,701,705,
717,719,730,737,739,755,790,802,806,822,832,842,873,932,934,952,986,1018,
1130],[1,2,3,4,5,6,7,10,12,14,16,18,19,20,21,22,25,28,29,30,32,33,35,36,37,38,
41,48,49,50,52,72,73,80,81,83,84,85,94,95,99,100,109,110,113,121,123,124,126,
130,145,149,154,158,161,164,169,181,188,189,192,200,201,209,216,218,221,224,
225,236,269,272,274,275,278,279,280,281,282,289,306,312,320,322,348,355,360,
379,390,413,416,428,449,470,472,490,492,500,504,531,617,633,638,639,649,663,
670,674,675,687,692,695,703,705,726,739,932,936,956,1000,1028,1131],[1,2,3,4,
5,6,7,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,29,30,32,33,35,36,37,38,41,
42,52,60,70,72,73,80,81,82,83,84,85,87,88,89,90,92,93,94,95,99,100,109,110,
112,113,116,122,124,128,129,130,133,134,140,146,152,154,158,162,164,165,166,
167,169,172,177,181,182,184,188,194,208,222,226,227,237,268,269,270,272,273,
274,275,277,278,279,280,281,285,293,294,311,316,317,324,328,329,336,337,342,
371,373,374,383,385,397,424,425,432,453,461,470,472,473,509,512,630,631,638,
644,648,650,651,666,676,681,685,689,701,706,719,728,729,944,948,952,994,1006,
1132],[1,2,3,4,5,6,7,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,29,30,32,33,
35,36,37,38,40,41,42,48,52,70,72,73,80,81,82,83,84,85,87,88,89,90,92,93,94,95,
98,99,100,103,106,109,110,112,113,116,122,124,128,129,130,133,134,135,140,144,
145,146,152,154,158,161,162,164,165,166,167,168,169,170,172,174,177,179,181,
182,184,188,189,194,202,208,217,221,224,233,268,269,270,272,273,274,275,276,
277,278,279,280,281,283,285,293,294,298,304,305,311,316,317,321,324,328,329,
336,337,339,342,345,348,355,358,360,371,374,377,380,385,389,396,397,422,425,
430,432,433,437,440,443,448,449,453,459,461,462,469,470,472,488,511,561,620,
630,631,632,637,638,641,644,645,646,648,650,651,666,676,681,688,695,699,708,
713,714,715,716,728,741,742,743,761,773,787,827,880,935,938,939,948,975,991,
1003,1004,1036,1133],[1,2,3,4,5,6,7,8,10,11,12,13,14,15,16,17,18,19,20,21,22,
23,24,30,31,32,33,34,35,36,37,38,39,40,41,46,47,51,52,53,54,55,57,58,59,60,69,
70,71,72,73,75,80,81,82,83,84,85,92,93,95,98,99,100,103,105,106,108,109,110,
112,113,120,124,125,127,130,132,135,136,139,143,148,151,153,154,157,158,160,
163,164,168,169,170,172,173,174,175,176,180,181,183,185,187,188,190,193,194,
195,196,197,205,208,213,219,226,227,228,232,234,237,244,247,267,269,270,271,
272,274,275,276,278,279,280,284,291,295,296,300,301,302,303,304,305,321,323,
335,341,343,344,345,346,349,351,362,363,364,370,373,375,376,383,391,398,401,
407,424,431,432,435,436,438,440,447,454,456,458,464,467,470,472,481,483,486,
489,493,506,519,530,559,572,618,634,638,640,641,642,652,660,664,673,689,706,
711,717,729,730,737,749,755,765,822,832,842,846,867,934,941,944,958,983,
1134],[1,2,3,4,5,6,7,8,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,29,30,31,
32,33,34,35,36,37,38,39,40,41,42,46,47,48,51,52,53,54,55,57,58,69,70,71,72,73,
75,80,81,82,83,84,85,92,93,94,95,98,99,100,103,105,106,108,109,110,112,113,
116,120,124,125,127,130,132,135,136,139,143,145,148,151,153,154,157,158,160,
161,162,163,164,168,169,170,172,173,174,175,176,180,181,182,183,185,187,188,
189,190,193,194,196,197,202,205,208,213,217,219,221,224,232,244,247,267,269,
270,271,272,274,275,276,277,278,279,280,281,284,291,295,296,300,301,302,303,
304,305,316,320,321,323,329,330,335,341,343,344,345,346,348,349,351,358,362,
363,364,370,375,376,382,391,401,407,432,435,436,440,443,447,449,454,456,458,
459,464,467,470,472,481,483,486,489,493,504,506,530,561,618,628,633,634,636,
638,639,640,641,642,643,644,652,670,671,673,678,691,700,709,715,717,726,727,
730,737,738,755,822,832,842,862,933,934,947,956,976,977,992,1015,1023,1135],[
1,2,3,4,5,6,7,8,10,12,14,16,18,19,20,21,22,29,30,31,32,33,34,35,36,37,38,39,
41,42,47,48,52,53,59,72,73,80,81,83,84,85,94,95,99,100,105,108,109,110,113,
116,120,124,125,130,154,157,158,162,164,169,181,182,188,189,195,199,203,204,
206,212,214,220,221,223,224,228,229,230,234,269,271,272,274,275,278,279,280,
281,298,316,320,327,339,347,356,361,369,392,398,403,414,431,438,449,451,470,
472,499,504,508,510,551,552,632,633,635,638,639,660,664,670,680,682,686,704,
711,725,726,732,941,956,957,1027,1039,1136],[1,2,3,4,5,6,7,8,10,12,14,16,18,
19,20,21,22,27,29,30,32,33,34,35,36,37,38,40,41,42,45,47,51,52,54,56,58,60,72,
73,77,78,80,81,83,84,85,94,95,96,98,99,100,101,102,103,106,107,109,110,111,
113,115,116,120,124,130,131,132,137,138,141,144,147,150,151,153,154,158,159,
160,162,164,169,170,171,174,175,178,179,181,182,183,185,186,187,188,193,215,
219,226,227,233,237,238,269,272,274,275,276,278,279,280,286,287,290,297,300,
303,314,315,316,325,326,334,338,340,345,349,350,351,365,373,380,383,387,394,
404,405,415,418,419,422,423,424,426,430,435,437,439,441,444,446,452,458,462,
467,468,470,472,483,487,494,511,514,515,543,568,619,629,637,638,645,669,679,
688,689,706,707,714,717,724,729,733,744,766,774,783,784,810,811,812,939,942,
944,982,998,1137],[1,2,3,4,5,6,7,8,10,11,12,14,16,18,19,20,21,22,23,24,27,30,
32,33,34,35,36,37,38,40,41,42,45,47,48,51,52,54,56,58,72,73,77,78,80,81,83,84,
85,87,89,90,93,95,96,99,100,101,102,106,107,109,110,111,113,115,116,120,122,
124,128,130,131,132,137,138,140,141,145,147,150,151,153,154,158,159,160,161,
164,167,169,170,171,174,175,177,178,181,183,185,186,187,188,189,192,193,201,
202,208,210,212,215,216,217,218,219,220,235,238,269,272,273,274,275,277,278,
279,280,284,286,287,290,297,300,303,308,314,315,320,324,325,326,328,330,334,
338,340,345,348,349,350,351,365,379,382,387,394,404,405,413,415,416,418,419,
423,426,428,433,435,439,441,444,446,448,452,458,459,461,467,468,469,470,472,
483,487,494,502,508,511,514,515,520,531,536,547,566,619,621,628,629,636,638,
639,643,650,669,674,678,679,683,691,694,698,699,707,709,710,717,721,723,724,
733,738,767,774,783,784,812,824,827,834,933,942,949,951,969,992,1007,1008,
1031,1138],[1,2,3,4,5,6,7,8,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,29,
30,31,32,33,34,35,36,37,38,39,40,41,42,46,47,48,51,52,53,54,55,57,58,70,72,73,
80,81,82,83,84,85,87,88,89,90,92,93,94,95,98,99,100,103,105,106,108,109,110,
112,113,116,120,122,124,125,127,128,129,130,132,133,134,135,136,139,140,145,
146,152,153,157,158,161,162,163,164,165,166,167,168,170,172,173,174,175,176,
177,182,184,187,189,192,193,194,196,197,199,201,202,203,204,205,206,207,208,
210,211,212,213,214,216,217,218,219,220,221,223,224,229,230,232,235,244,247,
268,270,271,272,273,275,276,280,285,291,293,294,295,302,303,304,305,311,312,
316,317,320,321,322,324,327,328,330,335,336,337,342,345,347,348,349,355,356,
358,359,360,361,364,369,370,371,372,374,377,378,379,385,386,389,392,396,397,
403,407,413,414,416,425,428,432,433,437,440,443,448,449,451,453,456,459,461,
462,464,466,469,471,488,498,499,502,508,510,511,520,521,522,525,528,530,531,
532,534,535,536,541,544,545,546,547,548,550,551,552,561,566,623,635,637,640,
641,642,643,646,648,649,667,674,676,686,688,695,699,704,708,710,713,714,715,
716,720,728,734,735,740,743,745,748,750,754,758,779,781,787,793,795,799,800,
805,817,824,827,828,844,870,872,880,883,884,931,940,950,967,973,989,990,991,
997,1001,1003,1004,1024,1025,1139],[1,2,3,4,5,6,7,8,13,14,15,16,18,19,23,27,
28,29,32,35,36,39,41,42,47,48,49,50,52,53,54,55,57,58,59,73,77,78,80,83,88,89,
94,101,112,115,124,125,140,144,146,149,152,154,161,162,163,165,184,192,193,
195,197,199,200,201,202,203,205,207,209,214,220,223,224,225,230,233,235,242,
244,248,268,279,281,287,290,306,311,322,336,339,347,355,356,358,361,369,377,
397,398,407,416,422,466,471,482,492,517,522,524,526,533,544,547,548,554,557,
565,619,630,633,660,687,725,739,742,747,759,781,797,800,817,819,838,877,923,
984,1000,1011,1029,1033,1039,1140],[1,3,4,5,6,7,8,11,14,16,20,22,23,25,26,29,
30,33,35,36,38,39,41,42,46,47,48,49,50,51,52,53,57,58,60,73,76,79,81,84,90,93,
94,104,118,124,125,126,127,128,129,133,144,146,161,162,164,165,169,177,189,
192,196,197,199,201,206,209,210,211,217,218,219,220,221,222,223,229,230,233,
236,237,239,243,247,269,273,281,289,293,298,299,312,320,327,331,342,356,360,
361,364,366,374,377,378,403,416,422,424,428,443,466,469,509,517,521,534,537,
539,540,541,549,558,563,566,616,631,636,670,680,683,689,701,703,740,745,758,
759,760,761,780,782,835,848,946,961,963,980,1005,1006,1016,1141],[1,2,3,4,5,6,
7,8,10,12,14,15,18,19,20,21,22,25,26,27,28,34,35,36,37,38,40,41,44,45,46,49,
50,51,52,53,54,55,56,57,58,59,60,69,71,72,76,78,83,84,91,92,95,96,97,98,99,
100,101,103,104,106,107,108,110,111,115,117,118,119,121,123,124,126,131,132,
135,136,137,138,139,141,142,143,147,149,150,153,154,155,156,158,159,160,168,
169,170,171,173,174,175,176,180,181,183,185,186,187,188,190,191,195,198,200,
209,215,226,227,228,231,234,236,237,238,239,240,241,242,243,244,246,247,248,
250,267,275,276,282,286,287,288,289,292,296,297,300,301,306,309,310,314,315,
319,331,333,334,344,346,350,357,362,363,368,370,373,376,381,383,387,390,393,
394,398,399,401,402,404,408,409,410,411,417,419,421,424,426,427,431,434,435,
437,438,439,440,444,450,460,463,464,467,468,472,474,475,476,481,484,486,487,
491,493,494,495,496,497,503,505,513,514,516,518,523,526,527,529,537,554,555,
556,558,562,571,573,617,624,637,652,655,656,693,702,706,711,718,722,731,733,
744,757,760,762,763,765,766,771,784,786,791,797,798,804,813,814,820,822,825,
826,829,845,846,847,855,858,863,864,865,924,970,978,981,983,998,1012,1042,
1043,1052,1053,1142],[1,2,3,4,5,6,7,8,10,11,12,13,14,15,16,17,18,19,20,21,22,
23,24,29,30,31,32,33,34,35,36,37,38,39,40,41,42,47,48,52,53,69,70,71,72,73,75,
80,81,82,83,84,85,92,93,94,95,98,99,100,103,105,106,108,109,110,112,113,116,
120,124,125,128,129,130,133,140,143,144,145,146,148,151,152,157,158,160,161,
162,164,165,172,179,180,182,183,184,185,189,190,192,194,199,201,202,204,206,
207,208,210,211,212,214,216,217,218,220,221,223,224,230,233,235,267,270,271,
272,275,276,277,280,281,284,293,294,296,298,300,301,311,312,316,317,320,322,
323,324,328,329,330,336,339,341,342,343,344,346,348,351,355,356,358,359,360,
361,369,371,372,374,377,378,379,380,382,385,386,389,392,396,397,401,403,413,
414,416,422,428,430,432,433,443,448,449,451,454,459,462,466,469,471,488,498,
502,504,508,511,531,550,551,552,561,618,623,632,634,643,644,645,646,649,652,
667,671,674,676,686,688,691,695,699,704,708,713,714,715,716,720,726,728,735,
741,742,751,758,759,761,767,769,770,773,776,789,800,803,805,808,815,828,834,
841,862,927,937,945,947,964,971,973,975,985,989,990,1004,1025,1036,1038,
1143],[1,2,3,4,5,6,7,8,13,14,15,16,18,19,23,28,29,32,34,35,36,39,40,41,42,45,
47,48,49,50,52,53,54,55,57,58,59,73,80,83,88,89,94,96,102,106,107,111,112,120,
124,125,132,140,144,146,149,150,152,154,161,162,163,165,171,175,184,189,192,
193,195,197,199,200,201,202,203,205,207,209,211,214,220,223,224,225,230,233,
235,244,246,250,268,279,281,297,306,311,320,322,326,336,339,347,349,355,356,
358,359,361,369,377,396,397,398,404,405,407,416,422,466,471,482,492,517,522,
533,544,547,548,553,555,556,557,569,629,630,639,660,687,725,727,734,739,742,
747,759,781,798,800,807,817,839,869,929,984,999,1027,1028,1032,1033,1144],[1,
2,3,4,5,6,7,8,13,14,15,16,20,22,23,25,26,29,32,35,36,39,41,42,47,48,49,50,52,
53,54,55,57,58,60,73,76,79,81,84,88,89,104,112,116,118,124,125,126,129,140,
146,152,161,162,163,169,179,184,192,193,197,201,202,205,206,207,209,214,220,
222,223,224,229,230,233,235,236,237,239,243,244,268,269,277,289,294,298,299,
312,317,327,331,358,360,361,372,380,389,397,403,407,414,416,424,429,471,509,
522,533,537,538,539,544,547,548,549,558,563,616,628,651,680,689,701,703,760,
769,773,778,779,780,781,805,835,848,922,963,965,968,994,1005,1035,1145],[1,2,
3,4,5,6,7,8,10,11,12,13,14,15,17,18,19,20,21,22,23,25,26,27,28,29,31,32,33,34,
35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,70,
72,76,78,82,83,84,86,92,93,94,96,97,98,99,100,101,102,104,105,108,109,111,112,
113,114,115,116,118,119,120,121,123,124,125,126,127,128,129,131,132,133,135,
136,137,138,139,140,141,142,143,144,146,147,148,149,150,151,152,153,154,155,
156,157,158,159,160,162,163,165,169,171,172,173,174,175,176,178,179,180,181,
182,183,184,185,187,188,190,191,193,195,196,197,198,199,200,205,206,209,213,
214,215,219,226,227,228,230,231,232,233,234,236,237,238,239,240,241,242,243,
244,245,246,247,248,249,250,270,271,275,282,286,287,288,289,291,295,297,303,
306,309,310,311,314,315,316,317,318,319,321,324,331,333,334,335,340,342,353,
354,356,357,364,365,366,367,368,369,370,371,373,374,380,381,383,385,387,388,
390,393,394,395,397,398,399,400,401,402,403,405,406,407,409,414,420,422,423,
424,426,429,430,431,435,436,438,441,442,444,445,446,447,450,454,455,456,457,
458,463,465,468,470,474,475,480,481,482,485,486,489,491,493,494,495,505,507,
516,517,518,519,523,526,527,529,530,533,537,538,539,540,542,543,552,554,555,
556,557,558,559,560,562,567,568,571,572,573,617,627,642,645,665,668,672,676,
686,697,706,711,718,733,747,749,753,756,757,760,762,763,764,777,778,782,788,
791,792,796,797,798,810,811,812,820,821,825,826,829,830,832,836,847,849,856,
863,865,867,881,882,885,886,953,958,959,970,979,982,1012,1049,1050,1058,1061,
1146],[1,2,3,4,5,6,7,8,10,11,12,13,14,15,17,18,19,20,21,22,23,29,31,32,33,34,
37,38,39,40,41,42,46,51,54,55,70,72,77,79,80,81,82,91,92,93,94,98,99,101,102,
103,104,105,106,107,109,110,111,112,113,114,115,116,117,118,119,127,131,132,
135,136,137,139,141,142,143,147,148,150,151,154,155,156,159,160,162,163,168,
169,170,171,172,174,175,176,178,180,181,182,183,185,186,187,188,190,191,222,
225,232,270,276,280,283,286,288,290,292,293,294,298,299,304,305,307,313,316,
318,321,325,326,328,332,335,336,338,339,340,345,350,367,384,394,401,404,408,
409,410,411,412,415,417,418,419,421,423,427,434,435,436,439,440,447,452,454,
455,456,457,458,460,470,473,476,477,478,479,480,481,484,486,487,489,490,491,
492,493,495,496,497,500,501,503,505,509,512,513,514,515,620,622,632,641,661,
672,677,688,696,697,705,707,719,728,768,771,772,774,775,801,804,806,809,813,
818,823,831,832,840,848,861,869,873,876,877,935,1017,1018,1019,1022,1026,1034,
1147],[1,2,3,4,5,6,7,8,10,11,12,13,14,15,17,18,19,20,21,22,23,31,32,33,34,37,
38,39,40,41,46,47,48,51,53,54,55,70,72,77,79,80,81,82,91,92,93,98,99,101,102,
103,104,105,106,107,108,109,110,111,112,113,114,115,117,118,119,120,125,127,
131,132,135,136,137,139,141,142,143,145,147,148,150,151,154,155,156,157,159,
160,161,163,168,169,170,171,172,174,175,176,178,180,181,183,185,186,187,188,
189,190,191,203,207,210,211,222,225,229,232,235,270,271,276,280,286,288,290,
292,299,304,305,307,313,318,321,325,326,327,332,335,338,340,345,347,348,350,
359,367,378,384,386,394,401,404,408,409,410,411,412,415,417,418,419,421,423,
427,434,435,436,439,440,447,452,454,455,456,457,458,460,470,471,473,476,477,
478,479,480,481,484,486,487,488,489,490,491,492,493,495,496,497,498,499,500,
501,502,503,505,509,510,512,513,514,515,524,549,550,553,563,564,565,569,570,
622,635,641,646,661,672,677,696,697,705,707,719,720,735,768,771,772,774,775,
794,801,804,806,807,809,813,816,819,832,835,844,850,853,854,857,860,868,870,
871,873,874,875,876,878,879,931,960,1014,1017,1018,1020,1021,1040,1048,1054,
1057,1148],[1,2,3,4,5,6,7,8,10,11,12,13,14,15,17,18,19,20,21,22,23,26,27,31,
32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,51,52,53,54,55,56,57,58,59,60,
70,72,76,78,82,83,84,86,92,93,96,97,98,99,100,101,102,103,104,105,106,108,109,
111,112,113,114,115,118,119,120,124,125,127,131,132,135,136,137,138,139,141,
142,143,145,147,148,150,151,153,154,155,156,157,158,159,160,161,163,169,171,
172,173,174,175,176,178,180,181,183,185,187,188,189,190,191,193,195,196,197,
198,205,213,215,219,226,227,228,231,232,234,237,238,244,245,247,249,270,271,
275,276,286,287,288,291,295,297,303,309,310,312,314,315,318,319,321,322,331,
333,334,335,340,348,353,354,357,364,365,367,368,370,373,381,383,387,388,393,
394,396,398,399,400,401,402,405,406,407,409,420,423,424,426,431,435,436,437,
438,441,442,444,445,446,447,448,450,454,455,456,457,458,463,465,468,470,474,
475,480,481,485,486,489,491,493,494,495,505,507,519,530,550,559,560,572,627,
637,642,649,665,668,672,697,706,711,716,718,720,733,744,749,756,757,766,777,
780,792,796,812,820,821,830,832,836,838,839,851,858,864,867,950,958,959,981,
987,993,998,1149],[1,2,3,4,5,6,7,8,10,11,12,13,14,15,16,17,18,19,20,21,22,23,
24,29,30,31,32,33,34,35,36,38,39,40,42,43,44,45,46,47,48,51,53,54,55,56,57,58,
70,72,73,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,102,103,105,
106,107,108,109,111,112,114,116,117,119,120,122,125,129,130,131,132,134,135,
136,137,138,139,141,142,143,145,147,148,150,151,152,153,154,155,156,157,159,
160,161,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,180,183,
184,185,186,187,189,190,191,192,193,194,196,201,202,204,205,207,208,210,211,
212,216,217,218,219,220,221,223,224,235,245,249,268,269,270,271,272,273,276,
277,279,281,285,291,294,296,297,300,302,303,304,311,317,319,320,326,330,332,
336,337,341,345,348,349,351,354,357,359,362,368,378,382,386,388,391,392,396,
402,404,405,406,409,410,411,412,413,418,419,421,425,426,428,432,433,434,435,
436,441,442,445,448,449,450,452,453,455,456,457,458,459,460,461,462,463,464,
465,467,469,471,474,475,476,477,478,479,480,483,484,485,486,494,495,496,497,
498,502,503,504,505,507,508,511,513,522,525,532,534,535,541,546,548,626,629,
630,636,639,640,643,647,648,651,669,670,673,678,683,691,698,700,709,710,716,
717,721,726,727,734,735,736,738,751,771,786,787,792,795,796,799,803,809,814,
815,836,837,841,843,852,866,872,876,880,926,928,929,940,969,974,977,992,995,
996,1008,1010,1013,1015,1037,1150],[1,3,4,5,6,7,8,11,14,16,18,19,23,27,28,29,
30,33,35,36,38,39,41,42,46,47,48,49,50,51,52,53,57,58,59,73,77,78,80,83,90,93,
101,115,116,124,125,127,128,129,133,140,149,154,161,162,164,165,177,179,189,
192,195,196,197,199,200,201,203,206,209,210,211,214,216,217,219,220,221,223,
225,233,242,247,248,273,277,279,287,290,306,320,322,324,328,339,347,355,361,
364,369,372,374,378,380,389,395,398,413,414,416,433,443,492,521,524,526,534,
538,540,541,554,557,565,566,619,639,650,660,687,709,721,725,739,741,745,753,
754,769,797,819,828,838,877,951,1002,1011,1027,1028,1029,1030,1151],[1,2,3,4,
5,6,7,8,10,11,12,14,16,18,19,20,21,22,23,24,29,30,31,32,33,34,35,36,38,39,40,
42,43,44,45,46,47,48,51,53,54,55,56,57,58,72,73,80,81,83,84,85,86,87,89,90,91,
93,94,95,96,97,98,102,103,105,106,107,108,109,111,114,116,117,119,120,122,125,
128,130,131,132,133,135,136,137,138,139,140,141,142,143,146,147,148,150,151,
153,154,155,156,157,159,160,162,164,167,168,169,170,171,173,174,175,176,177,
178,180,182,183,185,186,187,189,190,191,192,193,196,201,202,204,205,208,210,
212,216,217,218,219,220,221,223,224,235,245,249,269,271,272,273,276,277,279,
281,284,291,293,296,297,300,302,303,304,308,316,319,320,324,326,328,329,332,
341,342,345,349,351,354,357,361,362,368,382,388,391,392,402,404,405,406,409,
410,411,412,413,418,419,421,426,428,433,434,435,436,441,442,445,448,449,450,
451,452,455,456,457,458,459,460,461,462,463,464,465,467,469,474,475,476,477,
478,479,480,483,484,485,486,494,495,496,497,502,503,504,505,507,508,511,513,
520,521,528,536,544,545,547,551,566,621,626,628,629,631,633,640,644,647,650,
669,670,673,678,683,691,698,700,704,709,710,714,717,721,726,727,736,738,743,
767,771,786,789,792,793,796,808,809,814,824,827,834,836,837,843,852,859,866,
876,930,943,955,972,974,976,988,996,1007,1008,1010,1015,1023,1031,1152],[1,2,
3,4,5,6,7,8,13,14,15,16,20,22,23,25,29,32,34,35,36,39,40,41,42,44,47,48,49,50,
52,53,54,55,57,58,60,73,81,84,88,89,97,106,112,114,116,117,119,120,124,125,
126,129,132,140,142,146,152,161,162,163,169,175,179,184,189,191,192,193,197,
201,202,205,206,207,209,211,214,220,222,223,224,229,230,233,235,236,237,240,
241,244,268,269,277,289,294,298,312,317,319,320,327,332,349,354,358,359,360,
361,372,380,389,396,397,403,407,414,416,421,424,429,471,509,518,522,523,533,
538,539,544,547,548,564,570,636,647,651,680,689,701,703,734,738,769,773,778,
779,781,805,840,851,857,863,928,961,962,965,966,980,994,1153],[1,3,4,5,6,7,8,
11,14,16,20,22,23,25,29,30,33,34,35,36,38,39,40,41,42,44,46,47,48,49,50,51,52,
53,57,58,60,73,81,84,90,93,94,97,106,114,116,117,119,120,124,125,126,127,128,
129,132,133,142,144,146,161,162,164,165,169,175,177,191,192,196,197,199,201,
206,209,210,211,212,217,219,220,221,222,223,229,230,233,236,237,240,241,247,
269,273,277,281,289,293,298,312,319,327,332,342,349,354,356,360,361,364,366,
374,377,378,403,416,421,422,424,443,466,508,509,511,517,518,521,523,534,539,
540,541,564,566,570,628,631,647,680,689,698,700,701,703,740,745,758,759,761,
782,840,851,857,863,955,962,966,968,1006,1016,1035,1154],[1,3,4,5,6,7,8,11,14,
16,18,19,23,28,29,30,33,34,35,36,38,39,40,41,42,45,46,47,48,49,50,51,52,53,57,
58,59,73,80,83,90,93,94,96,102,106,107,111,116,120,124,125,127,128,129,132,
133,140,149,150,154,161,162,164,165,171,175,177,179,192,195,196,197,199,200,
201,203,204,206,209,210,211,214,217,219,220,221,223,225,233,246,247,250,273,
277,279,281,297,306,322,324,326,328,339,347,349,355,361,364,369,372,374,378,
380,389,392,395,398,404,405,414,416,443,462,492,521,534,538,540,541,553,555,
556,557,566,569,629,633,650,660,687,700,725,736,739,741,745,753,754,769,798,
807,828,839,869,930,999,1000,1002,1030,1032,1039,1155],[1,2,3,4,5,6,7,8,10,12,
14,15,18,19,20,21,22,26,27,29,34,35,36,37,38,40,41,42,44,45,46,48,51,52,53,54,
55,56,57,58,59,60,69,71,72,76,78,83,84,91,92,94,95,96,97,98,99,100,101,103,
104,106,107,108,110,111,115,116,117,118,119,124,131,132,135,136,137,138,139,
141,142,143,144,145,147,150,153,154,155,156,158,159,160,161,162,168,169,170,
171,173,174,175,176,179,180,181,182,183,185,186,187,188,189,190,191,195,198,
215,226,227,228,231,233,234,237,238,244,247,267,275,276,286,287,288,292,296,
297,300,301,309,310,312,314,315,316,319,322,331,333,334,344,346,348,350,357,
362,363,368,370,373,376,380,381,382,383,387,393,394,398,399,401,402,404,408,
409,410,411,417,419,421,422,424,426,427,430,431,434,435,438,439,440,444,450,
460,463,464,467,468,472,474,475,476,481,484,486,487,491,493,494,495,496,497,
503,504,505,513,514,542,543,567,568,624,645,649,652,671,693,702,706,711,713,
718,722,731,733,757,765,771,780,784,786,788,804,810,811,813,814,820,822,838,
839,845,846,849,851,855,937,978,979,982,983,987,993,1156],[1,2,3,4,5,6,7,8,10,
12,14,15,18,19,20,21,22,29,31,34,38,39,40,42,43,44,45,46,47,48,51,52,53,54,55,
56,57,58,69,71,72,77,79,80,81,86,92,94,95,96,97,100,101,102,103,104,105,107,
108,110,113,114,115,116,117,118,120,125,131,132,135,136,137,138,139,141,142,
145,147,148,150,151,153,154,155,156,157,160,161,162,168,169,170,171,173,174,
175,176,178,180,181,182,185,186,187,188,189,190,191,222,225,244,245,247,249,
267,271,280,290,292,298,299,301,307,310,313,315,316,318,323,325,326,332,338,
339,340,341,346,348,350,351,354,357,362,363,365,367,368,370,372,376,382,384,
387,388,393,400,405,406,408,411,412,415,418,420,423,434,435,440,441,442,445,
446,450,452,454,455,457,464,465,466,467,472,473,477,478,479,480,481,485,486,
488,490,492,493,496,500,501,504,507,509,512,514,515,625,632,634,646,667,671,
677,684,690,702,705,707,719,722,752,756,768,775,783,790,794,802,816,821,822,
833,836,837,840,848,866,869,874,875,877,945,986,1009,1014,1019,1021,1026,
1157],[1,2,3,4,5,6,7,8,10,12,14,15,18,19,20,21,22,31,34,38,39,40,43,44,45,46,
47,51,52,53,54,55,56,57,58,69,71,72,77,79,80,81,86,92,95,96,97,100,101,102,
103,104,105,107,108,110,113,114,115,117,118,120,125,131,132,135,136,137,138,
139,141,142,147,148,150,151,153,154,155,156,157,160,168,169,170,171,173,174,
175,176,178,180,181,185,186,187,188,190,191,203,222,225,229,244,245,247,249,
267,271,280,283,290,292,299,301,307,310,313,315,318,323,325,326,327,332,338,
340,341,346,347,350,351,354,357,362,363,365,367,368,370,376,384,387,388,393,
400,405,406,408,411,412,415,418,420,423,434,435,440,441,442,445,446,450,452,
454,455,457,464,465,467,472,473,477,478,479,480,481,485,486,490,492,493,496,
499,500,501,507,509,510,512,514,515,524,549,553,563,564,565,569,570,620,625,
634,635,653,657,677,684,690,702,705,707,719,722,752,756,768,775,783,790,802,
807,818,819,821,822,823,831,833,835,836,837,850,853,854,857,860,861,866,868,
871,878,879,925,960,986,1009,1020,1022,1034,1059,1060,1062,1064,1158],[1,6,9,
25,26,60,64,68,243,254,256,574,602,607,1159],[1,3,9,10,62,68,69,252,574,591,
919,1160],[1,7,9,27,28,59,67,68,242,255,257,574,605,612,1161],[1,5,9,24,63,68,
74,258,574,600,920,1162],[1,2,3,4,5,6,7,9,10,12,14,15,18,21,22,25,28,35,36,37,
38,40,41,49,50,52,62,63,65,69,71,72,83,84,92,95,98,99,100,103,106,121,123,124,
126,143,149,158,180,183,185,200,209,236,252,256,257,264,267,275,276,282,289,
296,300,301,306,344,390,401,437,588,591,594,606,609,617,637,652,655,656,889,
891,924,1070,1083,1087,1163],[1,3,4,6,7,9,14,16,20,22,25,26,35,36,41,48,49,50,
52,60,62,64,67,73,76,79,81,84,104,118,124,126,161,169,192,201,209,236,237,239,
243,251,254,259,269,289,299,312,331,360,416,424,537,558,576,582,587,599,601,
607,610,616,689,703,760,780,907,913,963,1069,1164],[1,3,4,6,8,9,14,16,20,22,
26,29,36,39,42,47,53,61,62,66,73,76,79,81,84,104,118,125,162,169,206,220,222,
223,229,230,251,254,260,269,298,299,327,331,361,403,509,549,563,575,576,581,
601,610,616,680,701,835,848,908,916,1005,1069,1165],[1,2,3,4,5,6,9,13,14,15,
16,20,22,23,26,32,36,42,62,63,65,73,76,79,81,84,88,89,104,112,116,118,129,152,
169,251,254,264,268,269,277,294,299,317,331,576,578,584,601,610,616,628,651,
896,922,1069,1166],[1,3,5,6,7,8,9,10,18,19,21,22,25,26,28,34,40,45,49,50,52,
57,59,60,61,63,64,71,76,96,100,101,103,107,119,131,136,143,147,155,159,160,
170,173,180,181,183,191,195,200,236,237,239,243,246,250,252,256,257,263,282,
315,333,344,363,373,399,411,437,438,439,463,503,518,537,554,555,585,588,595,
602,608,655,731,744,765,829,858,865,889,905,1053,1082,1084,1087,1167],[1,3,5,
6,7,8,9,10,18,20,21,22,25,27,28,34,40,44,49,50,52,58,59,60,63,66,67,71,78,97,
100,103,104,111,117,137,141,143,153,155,159,168,171,176,183,185,188,190,195,
200,236,237,240,241,242,248,252,256,257,261,282,310,314,344,373,376,417,437,
438,468,475,496,513,523,526,556,558,586,588,592,597,605,655,693,765,766,825,
826,864,889,897,1042,1075,1087,1089,1168],[1,3,6,7,9,10,18,22,25,26,27,28,40,
49,50,52,59,60,62,64,67,69,76,78,91,100,103,111,119,159,180,185,195,200,236,
237,239,242,243,248,252,256,257,259,282,301,314,333,373,410,437,438,518,526,
537,556,591,592,595,602,605,624,656,766,826,846,858,865,889,911,1052,1083,
1084,1089,1169],[1,3,6,7,8,9,10,18,19,20,22,25,28,34,40,44,45,49,50,52,53,59,
60,61,62,66,69,96,97,100,101,103,104,108,110,141,142,147,150,156,160,180,185,
186,190,195,200,236,237,240,241,246,250,252,256,257,260,282,301,310,315,346,
368,373,408,434,437,438,450,514,523,554,555,558,585,586,591,597,608,656,722,
744,825,829,846,864,889,895,1043,1075,1082,1083,1170],[1,2,3,4,5,8,9,10,12,14,
15,19,20,21,31,34,38,39,47,53,62,63,65,69,71,72,80,81,92,95,105,108,110,113,
120,125,148,151,157,160,190,203,229,252,264,267,271,280,283,323,327,341,346,
347,351,454,499,510,588,591,594,620,634,635,653,657,888,891,925,1074,1077,
1085,1171],[1,2,3,4,5,6,8,9,10,11,12,14,16,20,21,22,23,24,29,30,32,33,34,36,
38,40,46,47,48,55,57,64,65,66,72,73,81,84,85,87,89,90,93,94,95,106,109,120,
122,130,132,133,135,139,143,146,148,164,167,168,169,173,175,177,180,189,190,
192,196,204,205,208,210,218,221,223,224,235,251,252,253,258,265,269,272,273,
281,284,291,293,296,304,308,320,341,342,349,362,391,392,428,436,448,449,461,
462,469,486,502,504,521,528,544,545,575,578,586,587,589,590,593,594,595,598,
621,631,673,683,710,726,736,743,789,793,808,887,893,900,906,988,1068,1079,
1088,1172],[1,2,3,4,6,7,8,9,10,12,14,18,20,22,25,26,28,34,35,36,37,40,41,44,
46,49,50,52,55,56,60,64,65,66,72,76,83,84,97,99,100,104,118,119,121,123,124,
126,135,137,138,139,141,149,158,159,169,175,180,190,191,198,200,209,226,227,
231,236,237,239,240,241,243,252,256,257,265,275,282,288,289,306,309,310,319,
331,333,373,383,390,393,424,426,486,491,518,523,529,537,558,562,571,586,594,
595,597,602,606,609,617,706,718,760,763,791,825,863,865,889,906,914,970,1070,
1075,1084,1173],[1,2,3,4,6,7,8,9,10,12,14,18,19,22,25,27,28,34,35,36,37,40,41,
45,49,50,51,52,54,56,59,61,65,67,72,78,83,84,96,99,100,101,111,115,121,123,
124,126,131,132,138,147,149,154,158,159,160,171,174,185,187,195,200,209,215,
228,234,236,238,242,246,248,250,252,256,257,266,275,282,286,287,289,297,306,
314,315,334,387,390,394,398,431,435,438,494,516,526,527,554,555,556,573,585,
592,594,605,606,608,609,617,711,733,762,797,798,826,829,847,889,902,915,1012,
1070,1082,1089,1174],[1,2,3,4,5,9,10,11,12,13,14,15,16,17,21,23,24,30,32,33,
38,62,63,65,69,70,71,72,73,74,75,82,85,87,88,89,90,92,93,95,109,112,122,130,
134,164,166,167,172,177,194,208,251,252,253,258,264,267,268,270,272,273,284,
285,308,337,343,352,425,432,453,461,576,577,578,579,584,588,589,591,594,598,
600,603,618,621,648,654,887,891,896,901,917,921,1073,1076,1088,1175],[1,2,3,4,
6,8,9,10,12,14,19,20,22,34,40,46,55,64,65,66,72,79,80,81,104,110,113,114,117,
118,131,135,139,142,147,169,175,178,180,186,190,225,252,265,280,283,292,299,
307,313,318,332,367,408,418,486,490,492,500,586,594,595,620,677,705,818,831,
888,906,1022,1072,1074,1090,1176],[1,2,3,4,5,7,9,13,14,15,16,18,19,23,27,29,
32,35,62,63,65,73,77,78,80,83,88,89,94,101,112,115,154,165,184,251,255,264,
268,279,281,287,290,311,336,576,578,584,604,611,619,630,633,896,923,1086,
1177],[1,3,4,7,8,9,14,16,18,19,27,29,35,39,42,47,53,61,62,66,73,77,78,80,83,
101,115,125,154,162,199,203,214,220,223,225,251,255,260,279,287,290,339,347,
361,369,492,524,565,575,576,581,604,611,619,725,739,819,877,908,918,1029,1086,
1178],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,19,21,22,23,24,29,30,32,33,34,
36,38,40,42,46,47,48,55,57,61,63,64,71,74,75,80,82,84,85,87,88,89,90,92,93,94,
95,106,109,112,116,120,122,129,130,133,134,136,139,143,146,151,152,160,164,
166,167,170,172,173,174,176,177,180,181,189,192,194,196,202,204,205,207,208,
210,211,212,217,218,220,221,223,224,235,251,252,253,258,263,274,284,291,296,
302,308,317,328,329,330,336,337,342,343,345,351,352,359,363,382,392,396,425,
428,432,433,447,448,449,453,459,461,462,481,502,504,506,508,511,521,522,525,
528,541,544,545,546,579,581,583,584,585,587,588,590,595,600,654,681,694,730,
751,767,789,793,795,799,803,827,859,862,880,887,892,905,909,1044,1068,1076,
1080,1179],[1,2,3,4,5,7,8,9,10,11,12,13,14,15,16,17,18,20,21,23,24,29,30,32,
33,34,35,38,40,42,47,48,51,54,58,63,66,67,71,74,75,81,82,83,85,87,88,89,90,92,
93,94,95,106,109,112,116,120,122,128,130,134,135,136,140,148,153,164,165,166,
167,168,172,176,177,183,184,185,187,188,189,190,193,194,201,202,204,207,208,
210,211,212,216,217,219,220,221,223,224,235,251,252,253,258,261,278,284,293,
294,300,302,303,304,308,311,324,329,330,337,341,343,352,359,375,376,382,392,
396,413,425,432,448,449,453,459,461,462,469,489,493,502,504,508,511,520,532,
534,535,536,547,548,566,575,579,580,582,584,586,588,592,593,600,654,666,723,
737,743,787,799,808,815,824,834,841,859,862,872,887,897,898,903,1063,1076,
1078,1079,1180],[1,2,3,4,5,6,7,9,10,11,12,13,14,15,16,17,18,21,22,23,24,29,30,
32,33,35,36,37,38,40,41,42,48,52,62,64,67,69,70,71,72,73,75,82,83,84,85,92,93,
94,95,98,99,100,103,106,109,112,116,124,128,129,130,133,140,143,145,146,152,
158,161,162,164,165,172,180,182,183,184,185,189,192,194,201,208,216,218,251,
252,253,258,259,267,270,272,275,276,284,296,300,301,311,316,317,324,342,343,
344,348,371,374,379,382,385,396,397,401,413,416,428,432,448,462,504,511,531,
576,577,580,582,587,590,591,592,595,603,618,652,671,674,676,714,716,751,789,
834,841,887,899,907,911,964,1068,1073,1078,1181],[1,2,3,4,5,8,9,10,11,12,13,
14,15,16,17,19,20,21,23,24,29,30,31,32,33,34,38,39,42,47,48,53,61,62,66,69,70,
71,72,73,75,80,81,82,85,92,93,94,95,105,108,109,110,112,113,116,120,125,130,
145,148,151,157,160,161,162,164,172,182,189,190,194,204,207,208,210,211,212,
220,223,235,251,252,253,258,260,267,270,271,272,280,284,293,294,316,323,328,
336,341,343,346,348,351,359,361,378,382,386,392,432,433,451,454,469,471,498,
502,504,508,551,575,576,577,581,583,585,586,591,593,603,618,634,671,699,704,
728,735,767,803,808,815,887,895,904,908,1038,1073,1079,1080,1182],[1,3,5,7,8,
9,10,18,19,20,21,34,40,45,53,58,63,66,67,71,79,96,107,108,110,114,115,137,141,
142,148,151,153,156,168,176,178,185,188,190,203,222,225,229,252,261,283,313,
323,350,376,442,446,450,477,490,501,510,512,549,553,565,570,586,588,592,653,
684,790,823,831,850,878,888,897,1064,1077,1081,1090,1183],[1,2,3,4,7,8,9,10,
12,14,18,19,20,34,40,51,54,61,65,67,72,77,80,81,101,102,107,110,113,115,132,
137,141,150,154,160,174,178,185,186,187,222,252,266,280,283,290,325,326,338,
340,350,423,435,452,473,509,512,514,585,592,594,620,707,719,823,861,888,902,
1034,1071,1074,1081,1184],[1,3,8,9,10,19,20,34,43,53,61,62,66,69,77,79,86,102,
108,110,114,160,178,190,203,222,225,229,252,260,283,313,338,346,490,507,510,
512,524,549,569,570,585,586,591,625,657,802,831,861,878,879,888,895,1059,1071,
1085,1090,1185],[1,2,3,4,5,7,8,9,10,11,12,14,16,18,19,21,23,24,30,32,33,34,35,
38,40,42,47,48,51,54,58,61,65,67,72,73,80,83,85,87,89,90,93,95,106,109,116,
120,122,128,130,132,140,151,153,154,160,164,167,170,174,175,177,183,185,187,
189,193,201,202,208,210,212,216,217,219,220,235,251,252,253,258,266,272,273,
277,279,284,300,303,308,320,324,328,345,349,351,382,413,433,435,448,458,459,
461,467,483,502,508,511,520,536,547,566,578,580,581,582,583,585,589,592,594,
598,621,650,691,698,710,717,721,767,824,827,834,887,894,902,910,1031,1078,
1080,1088,1186],[1,3,6,7,8,9,10,18,19,20,22,34,40,52,53,56,62,64,67,69,100,
103,107,108,110,115,117,118,131,137,138,155,160,171,180,185,190,191,203,222,
225,229,252,259,283,292,301,346,350,357,387,393,411,490,496,510,512,553,563,
564,565,591,592,595,657,702,802,818,823,850,868,888,911,1060,1072,1081,1085,
1187],[1,3,4,6,7,9,14,16,18,19,27,28,35,36,41,48,49,50,52,59,62,64,67,73,77,
78,80,83,101,115,124,149,154,161,192,195,200,201,209,242,248,251,255,259,279,
287,290,306,322,355,398,416,526,554,576,582,587,596,604,611,612,619,660,687,
797,838,907,912,1011,1086,1188],[1,3,5,6,8,9,10,19,20,21,22,34,40,44,53,57,61,
63,64,71,77,97,102,108,110,117,118,131,136,147,148,150,151,156,160,170,173,
178,180,181,203,222,225,229,252,263,283,292,323,338,363,368,388,412,415,420,
490,510,512,524,563,564,569,585,588,595,653,690,790,818,861,868,879,888,905,
1062,1071,1072,1077,1189],[1,2,3,4,8,9,11,12,13,19,20,31,40,47,48,53,61,62,66,
70,77,79,91,98,107,113,117,135,145,157,174,186,203,207,210,222,225,229,253,
260,307,321,325,386,473,488,497,499,500,524,549,550,553,564,577,583,593,610,
611,614,622,806,816,844,853,854,875,904,916,918,1040,1096,1190],[1,2,3,4,6,7,
8,9,11,12,13,18,22,25,26,27,28,29,31,34,35,36,37,39,41,42,43,44,45,46,49,50,
51,52,54,55,56,59,60,62,64,67,70,76,78,86,96,97,99,105,121,123,126,127,128,
133,138,139,144,149,152,158,163,179,182,184,187,195,198,199,200,206,209,214,
215,226,227,228,230,231,232,233,234,236,237,238,239,240,241,242,243,245,246,
248,249,250,253,254,255,259,262,309,334,335,353,366,383,385,390,395,429,430,
431,482,485,516,519,523,526,527,529,533,537,540,542,543,552,555,559,560,562,
567,568,571,573,577,580,590,596,599,601,604,607,612,613,627,762,763,764,810,
849,867,881,882,885,886,890,899,912,913,1061,1091,1094,1095,1191],[1,2,3,4,5,
9,10,12,14,15,21,29,38,42,48,62,63,65,69,71,72,92,94,95,116,145,161,162,182,
189,252,264,267,316,348,377,382,389,504,588,591,594,623,671,708,891,927,1092,
1192],[1,3,6,7,9,10,18,22,25,26,27,28,40,49,50,52,59,60,62,64,67,69,76,78,91,
100,103,111,119,159,180,185,195,200,236,237,239,242,243,248,252,254,255,259,
282,301,314,333,373,410,437,438,518,526,537,556,591,592,595,596,599,601,604,
607,612,614,624,656,766,826,846,858,865,911,912,913,1052,1098,1193],[1,2,3,4,
5,8,9,13,14,15,16,23,32,34,40,43,47,48,62,63,65,73,86,88,89,91,106,112,120,
132,155,156,175,189,207,211,251,262,264,268,320,349,359,396,406,476,576,578,
584,613,614,626,678,734,896,926,1097,1194],[1,3,8,9,10,19,20,34,43,53,61,62,
66,69,77,79,86,102,108,110,114,160,178,190,203,222,225,229,252,260,262,283,
313,338,346,490,507,510,512,524,549,569,570,585,586,591,610,611,613,625,657,
802,831,861,878,879,895,916,918,1059,1093,1195],[1,2,3,4,5,6,7,8,10,11,12,13,
14,15,16,17,18,19,20,21,22,23,24,25,28,29,30,31,32,33,34,35,36,37,38,39,40,41,
42,46,47,48,49,50,51,52,53,54,55,57,58,69,70,71,72,73,74,75,80,81,82,83,84,85,
87,88,89,90,92,93,94,95,98,99,100,103,105,106,108,109,110,112,113,116,120,121,
122,123,124,125,126,127,128,129,130,132,133,134,135,136,139,140,143,144,145,
146,148,149,151,152,153,154,157,158,160,161,162,163,164,165,166,167,168,169,
170,172,173,174,175,176,177,179,180,181,182,183,184,185,187,188,189,190,192,
193,194,196,197,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,
214,216,217,218,219,220,221,223,224,229,230,232,233,235,236,244,247,267,268,
269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,289,291,
293,294,295,296,298,300,301,302,303,304,305,306,308,311,312,316,317,320,321,
322,323,324,327,328,329,330,335,336,337,339,341,342,343,344,345,346,347,348,
349,351,352,355,356,358,359,360,361,362,363,364,366,369,370,371,372,374,375,
376,377,378,379,380,382,385,386,389,390,391,392,395,396,397,401,403,407,413,
414,416,422,425,428,429,430,432,433,435,436,437,440,443,447,448,449,451,453,
454,456,458,459,461,462,464,466,467,469,470,471,472,481,482,483,486,488,489,
493,498,499,502,504,506,508,510,511,517,520,521,522,525,528,530,531,532,533,
534,535,536,538,539,540,541,544,545,546,547,548,550,551,552,557,561,566,617,
618,620,621,623,630,631,632,634,635,637,638,640,641,642,643,644,645,646,648,
649,650,651,652,653,654,655,656,657,666,667,671,673,674,675,676,680,681,682,
683,686,687,688,691,692,694,695,698,699,703,704,708,710,713,714,715,716,717,
720,721,723,725,726,728,730,732,734,735,736,737,740,741,742,743,745,747,748,
750,751,753,754,755,758,759,761,764,767,769,770,773,776,778,779,781,782,787,
789,793,795,799,800,803,805,808,815,817,822,824,827,828,832,834,841,842,844,
856,859,862,870,872,880,883,884,921,924,925,927,931,934,935,936,937,938,939,
940,943,945,947,948,949,950,953,957,964,965,967,971,973,975,984,985,988,989,
990,991,997,1001,1002,1003,1004,1013,1016,1024,1025,1031,1036,1037,1038,1044,
1063,1066,1067,1105,1106,1108,1111,1112,1123,1133,1139,1143,1196],[1,2,3,4,5,
6,7,8,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,26,27,29,30,31,32,33,34,35,
36,37,38,39,40,41,42,43,44,45,46,47,48,51,52,53,54,55,56,57,58,69,70,71,72,73,
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,
119,120,122,124,125,127,128,129,130,131,132,133,134,135,136,137,138,139,140,
141,142,143,145,146,147,148,150,151,152,153,154,155,156,157,158,159,160,161,
162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,180,181,
182,183,184,185,186,187,188,189,190,191,192,193,194,196,197,198,201,202,204,
205,207,208,210,211,212,213,215,216,217,218,219,220,221,223,224,231,232,235,
238,244,245,247,249,267,268,269,270,271,272,273,274,275,276,277,278,279,280,
281,284,285,286,287,288,290,291,292,293,294,295,296,297,299,300,301,302,303,
304,305,307,308,309,310,311,313,314,315,316,317,318,319,320,321,323,324,325,
326,328,329,330,331,332,333,334,335,336,337,338,340,341,342,343,344,345,346,
348,349,350,351,352,353,354,357,358,359,361,362,363,364,365,367,368,370,371,
374,375,376,378,379,381,382,384,385,386,387,388,391,392,393,394,396,397,399,
400,401,402,404,405,406,407,408,409,410,411,412,413,415,416,417,418,419,420,
421,423,425,426,427,428,432,433,434,435,436,439,440,441,442,443,444,445,446,
447,448,449,450,451,452,453,454,455,456,457,458,459,460,461,462,463,464,465,
467,468,469,470,471,472,474,475,476,477,478,479,480,481,483,484,485,486,487,
489,491,493,494,495,496,497,498,501,502,503,504,505,506,507,508,511,513,514,
515,520,521,522,525,528,530,531,532,534,535,536,541,544,545,546,547,548,551,
560,561,566,616,618,619,621,622,624,625,626,627,628,629,630,631,633,634,636,
638,639,640,641,642,643,644,647,648,650,651,652,654,658,659,661,662,665,666,
668,669,670,671,672,673,674,676,677,678,679,681,683,684,690,691,693,694,696,
697,698,699,700,702,704,707,709,710,712,714,715,716,717,718,721,722,723,724,
726,727,728,730,731,733,734,735,736,737,738,743,745,746,748,750,751,752,755,
756,757,767,768,771,772,774,775,777,781,783,784,785,786,787,789,792,793,795,
796,799,801,803,804,808,809,812,813,814,815,820,821,822,824,827,830,832,833,
834,836,837,841,842,843,845,852,855,859,862,866,872,876,880,883,884,921,922,
923,926,928,929,930,933,934,940,942,943,946,947,948,949,951,954,955,956,959,
964,969,972,974,976,977,978,988,992,995,996,1003,1007,1008,1009,1010,1013,
1015,1017,1023,1024,1031,1037,1038,1041,1044,1047,1063,1104,1106,1109,1124,
1128,1135,1138,1150,1152,1197],[1,2,3,4,5,6,7,8,10,11,12,14,16,18,19,20,21,22,
23,24,25,26,28,29,30,32,33,34,35,36,37,38,40,41,44,46,47,48,49,50,52,55,56,57,
60,72,73,76,79,80,81,83,84,85,87,89,90,93,94,95,97,99,100,104,106,109,110,113,
114,117,118,119,120,121,122,123,124,126,130,131,132,133,135,137,138,139,141,
142,143,145,146,147,148,149,154,158,159,161,164,167,168,169,173,175,177,178,
180,181,186,188,189,190,191,192,196,198,200,201,204,205,208,209,210,216,218,
221,223,224,225,226,227,231,235,236,237,239,240,241,243,269,272,273,274,275,
278,279,280,281,282,283,284,288,289,291,292,293,296,299,304,306,307,308,309,
310,312,313,318,319,320,322,330,331,332,333,341,342,348,349,354,355,360,362,
367,373,379,381,383,384,390,391,392,393,399,400,408,413,416,417,418,419,420,
421,424,426,427,428,433,436,441,448,449,452,461,462,469,470,472,486,488,490,
491,492,494,500,501,502,504,518,521,523,528,529,531,537,544,545,558,562,571,
616,617,620,621,623,631,633,636,638,639,643,646,647,649,662,663,669,670,673,
674,675,677,678,683,687,689,692,694,695,699,703,705,706,710,712,718,721,723,
726,727,729,736,739,743,760,763,777,780,789,791,793,794,801,808,818,825,831,
833,845,851,863,865,875,932,936,938,944,946,949,954,956,962,963,969,970,972,
977,988,989,993,1000,1010,1021,1022,1028,1045,1056,1105,1107,1109,1118,1126,
1129,1131,1198],[1,2,3,4,5,6,7,8,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,
25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,44,46,47,48,49,50,51,52,53,
54,55,56,57,58,60,70,72,73,76,79,80,81,82,83,84,85,87,88,89,90,92,93,94,95,97,
99,100,104,105,106,108,109,110,112,113,114,116,117,118,119,120,121,122,123,
124,125,126,127,128,129,130,131,132,133,134,135,137,138,139,140,141,142,143,
144,145,146,147,148,149,152,153,154,157,158,159,161,162,163,164,165,166,167,
168,169,172,173,175,177,178,179,180,181,182,184,186,187,188,189,190,191,192,
193,194,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,
213,214,216,217,218,219,220,221,222,223,224,226,227,229,230,231,232,233,235,
236,237,239,240,241,243,244,247,268,269,270,271,272,273,274,275,277,278,279,
280,281,282,285,288,289,291,292,293,294,295,296,298,299,303,304,306,307,309,
310,311,312,313,316,317,318,319,320,322,324,327,328,329,331,332,333,335,336,
337,339,341,342,347,348,349,354,355,356,358,359,360,361,362,364,366,367,369,
370,371,372,373,374,377,378,379,380,381,382,383,384,385,386,389,390,391,392,
393,395,396,397,399,400,403,407,408,413,414,416,417,418,419,420,421,422,424,
425,426,427,428,429,430,432,436,441,443,449,451,452,453,459,461,466,469,470,
471,472,473,482,486,491,494,498,499,501,502,508,509,510,511,512,517,518,520,
521,522,523,525,528,529,530,531,532,533,534,535,536,537,538,539,540,541,544,
545,546,547,548,549,551,552,557,558,561,562,563,564,566,570,571,616,617,628,
630,631,632,635,636,638,642,644,645,647,648,649,650,651,662,666,667,669,670,
673,674,675,676,677,680,681,682,683,685,686,687,689,691,692,695,698,700,701,
703,704,706,708,709,712,715,718,719,725,728,729,732,734,735,738,740,741,742,
745,747,748,750,751,753,754,758,759,760,761,763,764,769,770,773,776,777,778,
779,780,781,782,787,791,793,795,800,801,805,815,817,824,825,828,833,835,840,
845,848,851,853,856,857,860,863,865,868,872,878,883,884,922,928,933,936,944,
946,948,952,953,954,955,957,961,962,963,965,966,968,970,971,975,976,980,984,
990,993,994,995,997,1002,1005,1006,1007,1013,1016,1019,1020,1024,1035,1056,
1065,1066,1067,1108,1113,1117,1118,1124,1125,1132,1141,1145,1153,1154,1199],[
1,2,3,4,5,6,7,8,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,
30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,
56,57,58,59,60,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,91,92,93,94,
95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,
115,116,117,118,119,120,121,123,124,125,126,127,128,129,130,131,132,133,135,
136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,
155,156,157,158,159,160,161,162,163,164,165,168,169,170,171,172,173,174,175,
176,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,
196,197,198,199,200,201,205,206,208,209,213,214,215,216,218,219,226,227,228,
230,231,232,233,234,236,237,238,239,240,241,242,243,244,245,246,247,248,249,
250,267,269,270,271,272,274,275,276,278,279,280,282,284,286,287,288,289,290,
291,292,295,296,297,299,300,301,302,303,304,305,306,307,309,310,311,312,313,
314,315,316,317,318,319,321,322,323,324,325,326,331,332,333,334,335,338,340,
341,342,343,344,345,346,348,349,350,351,353,354,355,356,357,360,362,363,364,
365,366,367,368,369,370,371,373,374,375,376,379,380,381,382,383,384,385,387,
388,390,391,393,394,395,396,397,398,399,400,401,402,403,404,405,406,407,408,
409,410,411,412,413,414,415,416,417,418,419,420,421,422,423,424,426,427,428,
429,430,431,432,434,435,436,437,438,439,440,441,442,444,445,446,447,448,450,
452,454,455,456,457,458,460,462,463,464,465,467,468,470,472,474,475,476,477,
478,479,480,481,482,483,484,485,486,487,489,491,493,494,495,496,497,501,503,
504,505,506,507,511,513,514,515,516,517,518,519,523,526,527,529,530,531,533,
537,538,539,540,542,543,550,552,554,555,556,557,558,559,560,562,567,568,571,
572,573,616,617,618,619,622,624,625,626,627,629,634,637,638,640,641,642,645,
647,649,652,655,656,658,659,660,661,662,664,665,668,669,671,672,673,674,675,
676,677,679,684,686,687,688,689,690,692,693,695,696,697,702,703,706,707,711,
712,713,714,716,717,718,720,722,724,729,730,731,733,737,744,746,747,749,751,
752,753,755,756,757,760,762,763,764,765,766,768,771,772,774,775,777,778,780,
782,783,784,785,786,788,789,791,792,796,797,798,801,804,809,810,811,812,813,
814,820,821,822,825,826,829,830,832,833,834,836,837,838,839,841,842,843,845,
846,847,849,851,852,855,856,858,863,864,865,866,867,876,881,882,885,886,924,
934,936,937,939,941,942,944,950,953,954,958,959,962,963,964,970,974,978,979,
981,982,983,985,987,991,993,998,999,1001,1009,1011,1012,1017,1041,1042,1043,
1047,1049,1050,1052,1053,1055,1056,1058,1061,1104,1112,1114,1115,1118,1134,
1137,1142,1146,1149,1156,1200],[1,2,3,4,5,6,7,8,10,11,12,13,14,15,16,17,18,19,
20,21,22,23,24,25,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,46,47,48,49,50,
51,52,53,54,55,57,58,69,70,71,72,73,75,80,81,82,83,84,85,92,93,94,95,98,99,
100,103,105,106,108,109,110,112,113,116,120,121,123,124,125,126,127,128,129,
130,132,133,135,136,139,140,143,144,145,146,148,149,151,152,153,154,157,158,
160,161,162,163,164,165,168,169,170,172,173,174,175,176,179,180,181,182,183,
184,185,187,188,189,190,192,193,194,196,197,199,200,201,202,205,206,208,209,
213,214,216,217,218,219,221,222,224,225,230,232,233,236,244,247,267,269,270,
271,272,274,275,276,277,278,279,280,281,282,284,289,291,295,296,300,301,302,
303,304,305,306,311,312,316,317,320,321,322,323,324,329,330,335,341,342,343,
344,345,346,348,349,351,355,356,358,360,362,363,364,366,369,370,371,374,375,
376,379,380,382,385,390,391,395,396,397,401,403,407,413,414,416,422,428,429,
430,432,435,436,437,440,443,447,448,449,454,456,458,459,462,464,467,470,472,
473,481,482,483,486,489,490,492,493,500,504,506,509,511,512,517,530,531,533,
538,539,540,550,552,557,561,617,618,628,633,634,636,637,638,639,640,641,642,
643,644,645,649,652,655,656,663,670,671,673,674,675,676,678,685,686,687,688,
691,692,695,700,701,703,705,709,713,714,715,716,717,719,720,726,727,730,737,
738,739,747,751,753,755,764,778,782,789,790,802,806,822,832,834,841,842,856,
862,873,924,932,933,934,936,937,939,947,950,952,953,956,961,964,968,976,977,
985,986,991,992,1000,1001,1015,1018,1023,1028,1110,1112,1117,1122,1130,1131,
1135,1201],[1,2,3,4,5,6,7,8,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,
27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,45,46,47,48,49,50,51,52,53,54,
55,56,57,58,59,70,72,73,77,78,80,81,82,83,84,85,87,88,89,90,92,93,94,95,96,99,
100,101,102,105,106,107,108,109,110,111,112,113,115,116,120,121,122,123,124,
125,126,127,128,129,130,131,132,133,134,137,138,139,140,141,144,145,146,147,
149,150,151,152,153,154,157,158,159,160,161,162,163,164,165,166,167,169,170,
171,172,173,174,175,177,178,179,181,182,183,184,185,186,187,188,189,192,193,
194,195,196,197,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,
214,215,216,217,218,219,220,221,223,224,225,228,229,230,232,233,234,235,236,
238,242,244,246,247,248,250,268,269,270,271,272,273,274,275,277,278,279,280,
281,282,285,286,287,289,290,291,293,294,295,297,298,300,303,306,311,312,314,
315,316,317,320,322,324,325,326,327,328,329,334,335,336,337,338,339,340,342,
345,347,348,349,350,351,355,356,358,359,360,361,364,365,366,369,370,371,372,
374,377,378,379,380,385,386,387,389,390,392,394,395,396,397,398,403,404,405,
407,413,414,415,416,418,419,422,423,425,426,428,429,430,431,432,433,435,438,
439,441,443,444,446,449,451,452,453,458,459,461,462,466,467,468,470,471,472,
482,483,487,490,492,494,498,499,500,502,504,508,510,514,515,516,517,520,521,
522,524,525,526,527,528,530,531,532,533,534,535,536,538,539,540,541,544,545,
546,547,548,551,552,553,554,555,556,557,561,565,566,569,573,617,619,629,630,
631,632,633,635,638,639,642,644,645,648,649,650,651,660,663,664,666,667,669,
670,674,675,676,679,680,681,682,686,687,692,695,700,703,704,705,707,708,709,
711,715,717,721,724,725,726,727,728,732,733,734,735,736,739,740,741,742,745,
747,748,750,753,754,758,759,761,762,764,769,770,773,774,776,778,779,781,782,
783,784,793,795,797,798,800,803,805,807,812,817,819,824,826,828,829,838,839,
841,847,850,854,856,869,871,872,877,879,880,883,884,923,929,930,932,936,941,
942,948,951,953,956,957,960,965,971,972,975,984,987,990,995,997,999,1000,1002,
1011,1012,1016,1023,1024,1026,1027,1028,1029,1030,1032,1033,1037,1039,1046,
1055,1066,1067,1108,1115,1121,1127,1128,1131,1136,1140,1144,1151,1155,1202],[
1,2,3,4,5,6,7,8,10,11,12,14,16,18,19,20,21,22,23,24,25,27,28,30,32,33,34,35,
36,37,38,40,41,42,45,47,48,49,50,51,52,54,56,58,59,72,73,77,78,80,81,83,84,85,
87,89,90,93,95,96,99,100,101,102,106,107,109,110,111,113,115,116,120,121,122,
123,124,126,128,130,131,132,137,138,140,141,145,147,149,150,151,153,154,158,
159,160,161,164,167,169,170,171,174,175,177,178,181,183,185,186,187,188,189,
192,193,195,200,201,202,208,209,210,212,215,216,217,218,219,220,222,228,234,
235,236,238,242,246,248,250,269,272,273,274,275,277,278,279,280,282,283,284,
286,287,289,290,297,300,303,306,308,312,314,315,320,322,324,325,326,328,330,
334,338,340,345,348,349,350,351,355,360,365,379,382,387,390,394,398,404,405,
413,415,416,418,419,423,426,428,431,433,435,438,439,441,444,446,448,452,458,
459,461,467,468,469,470,472,473,483,487,488,494,502,508,509,511,512,514,515,
516,520,526,527,531,536,547,554,555,556,566,573,617,619,620,621,623,628,629,
636,638,639,643,646,649,650,660,664,669,674,675,678,679,683,685,687,691,692,
694,695,698,699,701,703,707,709,710,711,717,719,721,723,724,733,738,762,767,
774,783,784,797,798,812,816,823,824,826,827,829,834,838,839,847,861,874,933,
936,938,941,942,949,951,952,961,968,969,987,989,992,999,1007,1008,1011,1012,
1014,1031,1034,1051,1055,1105,1115,1116,1117,1119,1120,1138,1203],[1,2,3,4,5,
6,7,8,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,26,29,30,32,33,34,35,36,37,
38,40,41,42,44,46,47,48,52,55,56,57,59,70,72,73,76,79,80,81,82,83,84,85,87,88,
89,90,92,93,94,95,97,98,99,100,103,104,106,109,110,112,113,114,116,117,118,
119,120,122,124,128,129,130,131,132,133,134,135,137,138,139,140,141,142,143,
144,145,146,147,148,152,154,158,159,161,162,164,165,166,167,168,169,170,172,
173,174,175,177,178,179,180,181,182,184,186,188,189,190,191,192,194,195,196,
198,202,205,207,208,211,212,217,218,220,221,224,225,228,231,233,234,268,269,
270,272,273,274,275,276,277,278,279,280,281,283,285,288,291,292,293,294,296,
298,299,304,305,307,309,310,311,313,316,317,318,319,320,321,324,328,329,331,
332,333,336,337,339,341,342,345,348,349,354,355,358,359,360,362,367,371,374,
377,380,381,382,384,385,389,391,393,396,397,398,399,400,408,417,418,419,420,
421,422,425,426,427,428,430,431,432,433,436,437,438,440,441,443,448,449,452,
453,459,461,462,469,470,472,486,488,490,491,492,494,500,501,508,511,522,525,
541,542,546,561,567,616,620,628,630,631,632,636,637,638,641,644,645,646,647,
648,650,651,660,662,663,664,666,669,670,673,676,677,681,683,688,691,695,698,
699,700,705,708,709,711,712,713,714,715,716,718,728,734,738,739,741,742,743,
751,761,773,777,787,788,794,795,801,815,818,827,831,833,845,849,858,864,875,
880,922,928,932,933,935,938,939,941,946,948,954,955,975,976,979,981,991,995,
1003,1004,1007,1013,1021,1022,1030,1033,1036,1107,1110,1114,1120,1121,1124,
1133,1204],[1,2,3,4,5,6,7,8,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,27,
29,30,32,33,34,35,36,37,38,40,41,42,45,47,48,51,52,54,56,58,60,70,72,73,77,78,
80,81,82,83,84,85,87,88,89,90,92,93,94,95,96,98,99,100,101,102,103,106,107,
109,110,111,112,113,115,116,120,122,124,128,129,130,131,132,133,134,135,137,
138,140,141,144,145,146,147,150,151,152,153,154,158,159,160,161,162,164,165,
166,167,168,169,170,171,172,174,175,177,178,179,181,182,183,184,185,186,187,
188,189,193,194,201,202,204,207,208,211,215,216,217,219,221,222,223,224,226,
227,233,237,238,268,269,270,272,273,274,275,276,277,278,279,280,281,283,285,
286,287,290,293,294,297,298,300,303,304,305,311,314,315,316,317,320,321,324,
325,326,328,329,334,336,337,338,339,340,342,345,348,349,350,351,355,358,359,
360,365,371,373,374,377,380,383,385,387,389,392,394,396,397,404,405,413,415,
418,419,422,423,424,425,426,430,432,433,435,437,439,440,441,443,444,446,448,
449,452,453,458,459,461,462,467,468,469,470,472,473,483,487,488,494,504,509,
511,512,514,515,532,534,535,543,548,561,568,619,620,629,630,631,632,633,637,
638,639,641,644,645,646,648,650,651,666,669,670,676,679,681,685,688,689,695,
699,700,701,706,707,708,709,713,714,715,716,717,719,721,724,726,727,728,729,
733,734,736,741,742,743,744,761,766,773,774,783,784,787,803,810,811,812,816,
823,827,841,861,872,874,880,923,929,930,935,938,939,942,944,948,951,952,956,
972,975,982,991,994,995,998,1003,1004,1006,1014,1023,1034,1036,1037,1116,1122,
1126,1128,1132,1133,1137,1205],[1,2,3,4,5,6,7,8,10,11,12,14,16,18,19,20,21,22,
23,24,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,45,47,48,51,52,53,54,56,58,
60,72,73,77,78,80,81,83,84,85,87,89,90,93,94,95,96,98,99,100,101,102,103,105,
106,107,108,109,110,111,113,115,116,120,122,124,125,128,130,131,132,136,137,
138,140,141,144,145,147,150,151,153,154,157,158,159,160,161,162,164,167,169,
170,171,174,175,176,177,178,179,181,182,183,185,186,187,188,189,192,193,199,
201,202,203,204,206,208,210,212,214,215,216,217,218,219,220,223,225,226,227,
229,230,233,235,237,238,269,271,272,273,274,275,276,277,278,279,280,281,284,
286,287,290,297,298,300,302,303,308,314,315,316,320,324,325,326,327,328,329,
330,334,338,339,340,345,347,348,349,350,351,356,361,365,369,372,373,377,379,
380,382,383,387,389,392,394,403,404,405,413,414,415,416,418,419,422,423,424,
426,428,430,433,435,437,439,441,444,446,448,451,452,456,458,459,461,462,464,
466,467,468,469,470,472,483,487,490,492,494,499,500,502,508,510,511,514,515,
520,524,531,536,543,547,550,551,552,553,565,566,568,569,619,621,628,629,632,
635,636,637,638,639,640,643,644,645,650,663,667,669,674,678,679,680,682,683,
686,688,689,691,694,698,699,704,705,706,707,708,709,710,713,714,717,720,721,
723,724,725,729,732,733,736,738,739,744,759,766,767,769,770,774,776,783,784,
807,810,811,812,819,824,827,834,850,854,859,869,871,877,879,932,933,939,942,
943,944,949,951,957,960,967,969,971,980,982,992,998,1001,1007,1008,1025,1026,
1029,1031,1032,1035,1036,1045,1046,1110,1111,1113,1127,1129,1137,1138,1206],[
1,2,3,4,5,6,7,8,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,29,30,31,32,33,
34,35,36,37,38,39,40,41,42,46,47,48,51,52,53,54,55,57,58,59,60,69,70,71,72,73,
74,75,80,81,82,83,84,85,87,88,89,90,92,93,94,95,98,99,100,103,105,106,108,109,
110,112,113,116,120,122,124,125,127,128,129,130,132,133,134,135,136,139,140,
143,145,146,148,151,152,153,154,157,158,160,161,162,163,164,165,166,167,168,
169,170,172,173,174,175,176,177,180,181,182,183,184,185,187,188,189,190,192,
193,194,195,196,197,201,202,204,205,207,208,210,211,212,213,216,217,218,219,
220,221,222,223,224,225,226,227,228,232,234,235,237,244,247,267,268,269,270,
271,272,273,274,275,276,277,278,279,280,281,284,285,291,293,294,295,296,300,
301,302,303,304,305,308,311,316,317,320,321,323,324,328,329,330,335,336,337,
341,342,343,344,345,346,348,349,351,352,358,359,361,362,363,364,370,371,373,
374,375,376,378,379,382,383,385,386,391,392,396,397,398,401,407,413,416,424,
425,428,431,432,433,435,436,438,440,443,447,448,449,451,453,454,456,458,459,
461,462,464,467,469,470,471,472,473,481,483,486,489,490,492,493,498,500,502,
504,506,508,509,511,512,519,520,521,522,525,528,530,531,532,534,535,536,541,
544,545,546,547,548,551,559,561,566,572,618,621,630,631,634,638,640,641,642,
643,644,648,650,651,652,654,660,663,664,666,671,673,674,676,681,683,685,689,
691,694,698,699,701,704,705,706,710,711,714,715,716,717,719,721,723,726,728,
729,730,734,735,736,737,739,743,745,748,749,750,751,755,765,767,781,787,789,
790,793,795,799,802,803,806,808,815,822,824,827,832,834,841,842,846,859,862,
867,872,873,880,883,884,921,932,934,940,941,943,944,947,948,949,952,958,964,
983,986,988,994,1003,1006,1013,1018,1024,1030,1031,1033,1037,1038,1044,1045,
1051,1063,1106,1119,1121,1129,1130,1132,1134,1207],[1,2,3,4,5,6,7,8,10,11,12,
13,14,15,16,17,18,19,20,21,22,23,24,29,30,31,32,33,34,35,36,37,38,39,40,41,42,
46,47,48,51,52,53,54,55,57,58,59,60,69,70,71,72,73,75,80,81,82,83,84,85,92,93,
94,95,98,99,100,103,105,106,108,109,110,112,113,116,120,124,125,127,130,132,
135,136,139,143,145,148,151,153,154,157,158,160,161,162,163,164,168,169,170,
172,173,174,175,176,180,181,182,183,185,187,188,189,190,193,194,195,196,197,
199,202,203,204,205,206,207,208,210,211,212,213,214,217,219,220,221,223,224,
226,227,228,229,230,232,234,235,237,244,247,267,269,270,271,272,274,275,276,
277,278,279,280,281,283,284,291,293,294,295,296,298,300,301,302,303,304,305,
316,320,321,323,327,328,329,330,335,336,339,341,343,344,345,346,347,348,349,
351,355,356,358,359,360,361,362,363,364,369,370,372,373,375,376,378,382,383,
386,391,392,398,401,403,407,414,424,431,432,433,435,436,438,440,443,447,449,
451,454,456,458,459,464,466,467,469,470,471,472,481,483,486,488,489,493,498,
499,502,504,506,508,510,519,530,550,551,552,559,561,572,618,620,628,632,633,
634,635,636,638,639,640,641,642,643,644,646,652,653,657,660,664,667,670,671,
673,678,680,682,686,688,689,691,695,699,700,704,706,709,711,715,717,720,725,
726,727,728,729,730,732,735,737,738,740,749,754,755,765,767,779,803,808,815,
817,822,832,842,844,846,862,867,870,925,931,933,934,935,938,941,944,945,947,
956,957,958,967,976,977,980,983,985,992,997,1015,1023,1027,1035,1038,1039,
1113,1120,1123,1126,1134,1135,1136,1208],[1,2,3,4,5,6,7,8,10,11,12,14,16,18,
19,20,21,22,23,24,26,29,30,31,32,33,34,35,36,37,38,39,40,41,42,44,46,47,48,52,
53,55,56,57,59,72,73,76,79,80,81,83,84,85,87,89,90,93,94,95,97,98,99,100,103,
104,105,106,108,109,110,113,114,116,117,118,119,120,122,124,125,130,131,132,
133,135,136,137,138,139,141,142,143,144,145,146,147,148,154,157,158,159,161,
162,164,167,168,169,173,175,176,177,178,179,180,181,182,186,188,189,190,191,
192,195,196,198,199,201,203,204,205,206,208,210,212,214,216,218,220,221,222,
223,224,228,229,230,231,233,234,235,269,271,272,273,274,275,276,277,278,279,
280,281,284,288,291,292,293,296,298,299,302,304,307,308,309,310,313,316,318,
319,320,327,329,330,331,332,333,339,341,342,347,348,349,354,356,361,362,367,
369,372,377,379,380,381,384,389,391,392,393,398,399,400,403,408,413,414,416,
417,418,419,420,421,422,426,427,428,430,431,433,436,437,438,441,448,449,451,
452,456,461,462,464,466,469,470,472,473,486,491,494,499,501,502,504,508,509,
510,511,512,521,528,531,542,544,545,549,550,551,552,563,564,567,570,616,621,
631,632,633,635,636,637,638,639,640,643,644,645,647,660,662,664,667,669,670,
673,674,677,678,680,682,683,685,686,688,694,698,699,701,704,708,710,711,712,
713,714,718,719,720,721,723,725,726,727,732,736,743,759,769,770,776,777,788,
789,793,801,808,833,835,840,845,848,849,853,857,858,859,860,864,868,878,939,
941,943,946,949,952,954,956,957,966,967,969,971,972,977,979,981,988,1001,1005,
1010,1019,1020,1025,1027,1036,1039,1051,1065,1109,1111,1114,1119,1122,1125,
1136,1209],[1,2,3,4,5,6,7,8,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,26,
27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,51,52,53,54,55,
56,57,58,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,91,92,93,94,95,96,
97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,
117,118,119,120,124,125,127,130,131,132,135,136,137,138,139,141,142,143,145,
147,148,150,151,153,154,155,156,157,158,159,160,161,162,163,164,168,169,170,
171,172,173,174,175,176,178,180,181,182,183,185,186,187,188,189,190,191,193,
194,196,197,198,199,203,204,205,206,207,208,210,211,212,213,214,215,219,220,
222,223,225,229,230,231,232,235,238,244,245,247,249,267,269,270,271,272,274,
275,276,278,279,280,283,284,286,287,288,290,291,292,293,294,295,296,297,298,
299,300,301,302,303,304,305,307,309,310,313,314,315,316,318,319,321,323,325,
326,327,328,331,332,333,334,335,336,338,339,340,341,343,344,345,346,347,348,
349,350,351,353,354,355,356,357,359,360,361,362,363,364,365,367,368,369,370,
372,375,376,378,381,382,384,386,387,388,391,392,393,394,399,400,401,402,403,
404,405,406,407,408,409,410,411,412,414,415,417,418,419,420,421,423,426,427,
432,433,434,435,436,439,440,441,442,444,445,446,447,450,451,452,454,455,456,
457,458,460,463,464,465,466,467,468,469,470,471,472,473,474,475,476,477,478,
479,480,481,483,484,485,486,487,488,489,490,491,492,493,494,495,496,497,498,
499,500,501,502,503,504,505,506,507,508,509,510,512,513,514,515,524,530,549,
550,551,552,553,560,563,564,565,569,570,616,618,619,620,622,624,625,626,627,
629,632,634,635,638,640,641,642,646,647,652,653,657,658,659,661,662,663,665,
667,668,669,671,672,673,677,679,680,682,684,685,686,688,690,693,695,696,697,
699,701,702,704,705,707,712,717,718,719,720,722,724,725,728,730,731,732,733,
735,737,739,740,746,752,754,755,756,757,767,768,771,772,774,775,777,779,783,
784,785,786,790,792,794,796,801,802,803,804,806,807,808,809,812,813,814,815,
816,817,818,819,820,821,822,823,830,831,832,833,835,836,837,840,842,843,844,
845,848,850,852,853,854,855,857,860,861,866,868,869,870,871,873,874,875,876,
877,878,879,925,931,932,934,935,938,942,945,952,954,957,959,960,966,967,974,
978,985,986,997,1005,1009,1014,1017,1018,1019,1020,1021,1022,1026,1029,1032,
1034,1038,1040,1041,1046,1047,1048,1054,1057,1059,1060,1062,1064,1065,1104,
1107,1116,1123,1125,1127,1130,1147,1148,1157,1158,1210],[1,2,3,4,5,6,7,8,9,10,
11,12,13,14,15,16,17,18,19,20,21,22,23,24,26,27,30,31,32,33,34,35,36,37,38,39,
40,41,43,44,45,46,47,51,52,53,54,55,56,57,58,62,69,70,71,72,73,75,76,77,78,79,
80,81,82,83,84,85,86,91,92,93,95,96,97,98,99,100,101,102,103,104,105,106,107,
108,109,110,111,112,113,114,115,117,118,119,120,124,125,127,130,131,132,135,
136,137,138,139,141,142,143,147,148,150,151,153,154,155,156,157,158,159,160,
163,164,168,169,170,171,172,173,174,175,176,178,180,181,183,185,186,187,188,
190,191,193,194,196,197,198,205,208,213,215,219,231,232,238,244,245,247,249,
251,252,253,254,255,258,262,267,269,270,271,272,274,275,276,278,279,280,284,
286,287,288,290,291,292,295,296,297,299,300,301,302,303,304,305,307,309,310,
313,314,315,318,319,321,323,325,326,331,332,333,334,335,338,340,341,343,344,
345,346,349,350,351,353,354,357,362,363,364,365,367,368,370,375,376,381,384,
387,388,391,393,394,399,400,401,402,404,405,406,407,408,409,410,411,412,415,
417,418,419,420,421,423,426,427,432,434,435,436,439,440,441,442,444,445,446,
447,450,452,454,455,456,457,458,460,463,464,465,467,468,470,472,474,475,476,
477,478,479,480,481,483,484,485,486,487,489,491,493,494,495,496,497,501,503,
505,506,507,513,514,515,530,560,576,577,591,601,603,604,610,611,613,614,616,
618,619,622,624,625,626,627,629,634,638,640,641,642,647,652,658,659,661,662,
665,668,669,672,673,677,679,684,690,693,696,697,702,707,712,717,718,722,724,
730,731,733,737,746,752,755,756,757,768,771,772,774,775,777,783,784,785,786,
792,796,801,804,809,812,813,814,820,821,822,830,832,833,836,837,842,843,845,
852,855,866,876,887,890,934,942,954,959,974,978,1009,1017,1041,1047,1069,1073,
1086,1091,1093,1096,1097,1098,1099,1103,1104,1211],[1,2,3,4,5,6,7,9,10,11,12,
14,16,18,19,20,21,22,23,24,25,28,30,32,33,35,36,37,38,41,48,49,50,52,65,72,73,
80,81,83,84,85,87,89,90,93,95,99,100,109,110,113,121,122,123,124,126,130,145,
149,154,158,161,164,167,169,177,181,188,189,192,200,201,208,209,216,218,236,
251,252,253,256,257,258,269,272,273,274,275,278,279,280,282,283,284,289,306,
308,312,320,322,330,348,355,360,379,390,413,416,428,433,461,469,470,472,488,
531,578,589,594,598,606,609,617,620,621,623,638,643,646,649,674,675,683,687,
692,694,695,699,703,721,723,887,888,889,936,938,949,989,1070,1074,1088,1092,
1105,1212],[1,2,3,4,5,6,7,8,9,10,12,14,15,18,19,20,21,22,25,26,27,28,34,35,36,
37,38,40,41,44,45,46,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,
69,71,72,76,78,83,84,91,92,95,96,97,98,99,100,101,103,104,106,107,108,110,111,
115,117,118,119,121,123,124,126,131,132,135,136,137,138,139,141,142,143,147,
149,150,153,154,155,156,158,159,160,168,169,170,171,173,174,175,176,180,181,
183,185,186,187,188,190,191,195,198,200,209,215,226,227,228,231,234,236,237,
238,239,240,241,242,243,244,246,247,248,250,252,256,257,259,260,261,263,264,
265,266,267,275,276,282,286,287,288,289,292,296,297,300,301,306,309,310,314,
315,319,331,333,334,344,346,350,357,362,363,368,370,373,376,381,383,387,390,
393,394,398,399,401,402,404,408,409,410,411,417,419,421,424,426,427,431,434,
435,437,438,439,440,444,450,460,463,464,467,468,472,474,475,476,481,484,486,
487,491,493,494,495,496,497,503,505,513,514,516,518,523,526,527,529,537,554,
555,556,558,562,571,573,585,586,588,591,592,594,595,597,602,605,606,608,609,
615,617,624,637,652,655,656,693,702,706,711,718,722,731,733,744,757,760,762,
763,765,766,771,784,786,791,797,798,804,813,814,820,822,825,826,829,845,846,
847,855,858,863,864,865,889,891,895,897,902,905,906,911,914,915,924,970,978,
981,983,998,1012,1042,1043,1052,1053,1070,1075,1082,1083,1084,1087,1089,1101,
1142,1163,1167,1168,1169,1170,1173,1174,1213],[1,2,3,4,5,6,7,8,9,13,14,15,16,
20,22,23,25,26,29,32,35,36,39,41,42,47,48,49,50,52,53,54,55,57,58,60,61,62,63,
64,65,66,67,73,76,79,81,84,88,89,104,112,116,118,124,125,126,129,140,146,152,
161,162,163,169,179,184,192,193,197,201,202,205,206,207,209,214,220,222,223,
224,229,230,233,235,236,237,239,243,244,251,254,259,260,261,263,264,265,266,
268,269,277,289,294,298,299,312,317,327,331,358,360,361,372,380,389,397,403,
407,414,416,424,429,471,509,522,533,537,538,539,544,547,548,549,558,563,575,
576,578,581,582,584,587,599,601,607,610,615,616,628,651,680,689,701,703,760,
769,773,778,779,780,781,805,835,848,893,894,896,898,907,908,909,913,916,922,
963,965,968,994,1005,1035,1069,1102,1145,1164,1165,1166,1214],[1,2,3,4,5,6,7,
8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,29,30,31,32,33,34,35,36,37,
38,39,40,41,42,46,47,48,51,52,53,54,55,57,58,61,62,63,64,65,66,67,69,70,71,72,
73,74,75,80,81,82,83,84,85,87,88,89,90,92,93,94,95,98,99,100,103,105,106,108,
109,110,112,113,116,120,122,124,125,127,128,129,130,132,133,134,135,136,139,
140,143,145,146,148,151,152,153,154,157,158,160,161,162,163,164,165,166,167,
168,169,170,172,173,174,175,176,177,180,181,182,183,184,185,187,188,189,190,
192,193,194,196,197,201,202,204,205,207,208,210,211,212,213,216,217,218,219,
220,221,223,224,232,235,244,247,251,252,253,258,259,260,261,263,264,265,266,
267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,284,285,291,293,
294,295,296,300,301,302,303,304,305,308,311,316,317,320,321,323,324,328,329,
330,335,336,337,341,342,343,344,345,346,348,349,351,352,358,359,361,362,363,
364,370,371,374,375,376,378,379,382,385,386,391,392,396,397,401,407,413,416,
425,428,432,433,435,436,440,443,447,448,449,451,453,454,456,458,459,461,462,
464,467,469,470,471,472,481,483,486,489,493,498,502,504,506,508,511,520,521,
522,525,528,530,531,532,534,535,536,541,544,545,546,547,548,551,561,566,575,
576,577,578,579,580,581,582,583,584,585,586,587,588,589,590,591,592,593,594,
595,598,600,603,615,618,621,630,631,634,638,640,641,642,643,644,648,650,651,
652,654,666,671,673,674,676,681,683,691,694,698,699,704,710,714,715,716,717,
721,723,726,728,730,734,735,736,737,743,745,748,750,751,755,767,781,787,789,
793,795,799,803,808,815,822,824,827,832,834,841,842,859,862,872,880,883,884,
887,891,892,893,894,895,896,897,898,899,900,901,902,903,904,905,906,907,908,
909,910,911,917,921,934,940,943,947,948,949,964,988,1003,1013,1024,1031,1037,
1038,1044,1063,1068,1073,1076,1078,1079,1080,1088,1100,1101,1102,1106,1172,
1175,1179,1180,1181,1182,1186,1215],[1,2,3,4,5,6,7,8,9,13,14,15,16,18,19,23,
27,28,29,32,35,36,39,41,42,47,48,49,50,52,53,54,55,57,58,59,61,62,63,64,65,66,
67,73,77,78,80,83,88,89,94,101,112,115,124,125,140,144,146,149,152,154,161,
162,163,165,184,192,193,195,197,199,200,201,202,203,205,207,209,214,220,223,
224,225,230,233,235,242,244,248,251,255,259,260,261,263,264,265,266,268,279,
281,287,290,306,311,322,336,339,347,355,356,358,361,369,377,397,398,407,416,
422,466,471,482,492,517,522,524,526,533,544,547,548,554,557,565,575,576,578,
581,582,584,587,596,604,611,612,615,619,630,633,660,687,725,739,742,747,759,
781,797,800,817,819,838,877,893,894,896,898,907,908,909,912,918,923,984,1000,
1011,1029,1033,1039,1086,1102,1140,1177,1178,1188,1216],[1,2,3,4,5,6,7,8,9,10,
12,14,15,18,19,20,21,22,31,34,38,39,40,43,44,45,46,47,51,52,53,54,55,56,57,58,
61,62,63,64,65,66,67,69,71,72,77,79,80,81,86,92,95,96,97,100,101,102,103,104,
105,107,108,110,113,114,115,117,118,120,125,131,132,135,136,137,138,139,141,
142,147,148,150,151,153,154,155,156,157,160,168,169,170,171,173,174,175,176,
178,180,181,185,186,187,188,190,191,203,222,225,229,244,245,247,249,252,259,
260,261,263,264,265,266,267,271,280,283,290,292,299,301,307,310,313,315,318,
323,325,326,327,332,338,340,341,346,347,350,351,354,357,362,363,365,367,368,
370,376,384,387,388,393,400,405,406,408,411,412,415,418,420,423,434,435,440,
441,442,445,446,450,452,454,455,457,464,465,467,472,473,477,478,479,480,481,
485,486,490,492,493,496,499,500,501,507,509,510,512,514,515,524,549,553,563,
564,565,569,570,585,586,588,591,592,594,595,615,620,625,634,635,653,657,677,
684,690,702,705,707,719,722,752,756,768,775,783,790,802,807,818,819,821,822,
823,831,833,835,836,837,850,853,854,857,860,861,866,868,871,878,879,888,891,
895,897,902,905,906,911,925,960,986,1009,1020,1022,1034,1059,1060,1062,1064,
1071,1072,1074,1077,1081,1085,1090,1101,1158,1171,1176,1183,1184,1185,1187,
1189,1217],[1,2,3,4,5,10,11,12,13,14,15,16,17,21,23,24,30,32,33,38,68,69,70,
71,72,73,74,75,82,85,87,88,89,90,92,93,95,109,112,122,130,134,164,166,167,172,
177,194,208,267,268,270,272,273,284,285,308,337,343,352,425,432,453,461,618,
621,648,654,919,920,921,1218],[1,2,3,4,5,6,7,8,10,11,12,13,14,15,16,17,18,19,
20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,
46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,69,70,71,72,73,74,75,76,77,78,79,
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,
237,238,239,240,241,242,243,244,245,246,247,248,249,250,267,268,269,270,271,
272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,
291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,
310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,
329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,
348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,
367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,
386,387,388,389,390,391,392,393,394,395,396,397,398,399,400,401,402,403,404,
405,406,407,408,409,410,411,412,413,414,415,416,417,418,419,420,421,422,423,
424,425,426,427,428,429,430,431,432,433,434,435,436,437,438,439,440,441,442,
443,444,445,446,447,448,449,450,451,452,453,454,455,456,457,458,459,460,461,
462,463,464,465,466,467,468,469,470,471,472,473,474,475,476,477,478,479,480,
481,482,483,484,485,486,487,488,489,490,491,492,493,494,495,496,497,498,499,
500,501,502,503,504,505,506,507,508,509,510,511,512,513,514,515,516,517,518,
519,520,521,522,523,524,525,526,527,528,529,530,531,532,533,534,535,536,537,
538,539,540,541,542,543,544,545,546,547,548,549,550,551,552,553,554,555,556,
557,558,559,560,561,562,563,564,565,566,567,568,569,570,571,572,573,616,617,
618,619,620,621,622,623,624,625,626,627,628,629,630,631,632,633,634,635,636,
637,638,639,640,641,642,643,644,645,646,647,648,649,650,651,652,653,654,655,
656,657,658,659,660,661,662,663,664,665,666,667,668,669,670,671,672,673,674,
675,676,677,678,679,680,681,682,683,684,685,686,687,688,689,690,691,692,693,
694,695,696,697,698,699,700,701,702,703,704,705,706,707,708,709,710,711,712,
713,714,715,716,717,718,719,720,721,722,723,724,725,726,727,728,729,730,731,
732,733,734,735,736,737,738,739,740,741,742,743,744,745,746,747,748,749,750,
751,752,753,754,755,756,757,758,759,760,761,762,763,764,765,766,767,768,769,
770,771,772,773,774,775,776,777,778,779,780,781,782,783,784,785,786,787,788,
789,790,791,792,793,794,795,796,797,798,799,800,801,802,803,804,805,806,807,
808,809,810,811,812,813,814,815,816,817,818,819,820,821,822,823,824,825,826,
827,828,829,830,831,832,833,834,835,836,837,838,839,840,841,842,843,844,845,
846,847,848,849,850,851,852,853,854,855,856,857,858,859,860,861,862,863,864,
865,866,867,868,869,870,871,872,873,874,875,876,877,878,879,880,881,882,883,
884,885,886,921,922,923,924,925,926,927,928,929,930,931,932,933,934,935,936,
937,938,939,940,941,942,943,944,945,946,947,948,949,950,951,952,953,954,955,
956,957,958,959,960,961,962,963,964,965,966,967,968,969,970,971,972,973,974,
975,976,977,978,979,980,981,982,983,984,985,986,987,988,989,990,991,992,993,
994,995,996,997,998,999,1000,1001,1002,1003,1004,1005,1006,1007,1008,1009,
1010,1011,1012,1013,1014,1015,1016,1017,1018,1019,1020,1021,1022,1023,1024,
1025,1026,1027,1028,1029,1030,1031,1032,1033,1034,1035,1036,1037,1038,1039,
1040,1041,1042,1043,1044,1045,1046,1047,1048,1049,1050,1051,1052,1053,1054,
1055,1056,1057,1058,1059,1060,1061,1062,1063,1064,1065,1066,1067,1104,1105,
1106,1107,1108,1109,1110,1111,1112,1113,1114,1115,1116,1117,1118,1119,1120,
1121,1122,1123,1124,1125,1126,1127,1128,1129,1130,1131,1132,1133,1134,1135,
1136,1137,1138,1139,1140,1141,1142,1143,1144,1145,1146,1147,1148,1149,1150,
1151,1152,1153,1154,1155,1156,1157,1158,1196,1197,1198,1199,1200,1201,1202,
1203,1204,1205,1206,1207,1208,1209,1210,1219],[1,2,3,4,5,6,7,8,9,10,11,12,14,
16,18,19,20,21,22,23,24,25,27,28,30,32,33,34,35,36,37,38,40,41,42,45,47,48,49,
50,51,52,54,56,58,59,61,65,67,72,73,77,78,80,81,83,84,85,87,89,90,93,95,96,99,
100,101,102,106,107,109,110,111,113,115,116,120,121,122,123,124,126,128,130,
131,132,137,138,140,141,145,147,149,150,151,153,154,158,159,160,161,164,167,
169,170,171,174,175,177,178,181,183,185,186,187,188,189,192,193,195,200,201,
202,208,209,210,212,215,216,217,218,219,220,222,228,234,235,236,238,242,246,
248,250,251,252,253,256,257,258,266,269,272,273,274,275,277,278,279,280,282,
283,284,286,287,289,290,297,300,303,306,308,312,314,315,320,322,324,325,326,
328,330,334,338,340,345,348,349,350,351,355,360,365,379,382,387,390,394,398,
404,405,413,415,416,418,419,423,426,428,431,433,435,438,439,441,444,446,448,
452,458,459,461,467,468,469,470,472,473,483,487,488,494,502,508,509,511,512,
514,515,516,520,526,527,531,536,547,554,555,556,566,573,578,580,581,582,583,
585,589,592,594,598,605,606,608,609,617,619,620,621,623,628,629,636,638,639,
643,646,649,650,660,664,669,674,675,678,679,683,685,687,691,692,694,695,698,
699,701,703,707,709,710,711,717,719,721,723,724,733,738,762,767,774,783,784,
797,798,812,816,823,824,826,827,829,834,838,839,847,861,874,887,888,889,894,
902,910,915,933,936,938,941,942,949,951,952,961,968,969,987,989,992,999,1007,
1008,1011,1012,1014,1031,1034,1051,1055,1070,1071,1074,1078,1080,1081,1082,
1088,1089,1092,1105,1115,1116,1117,1119,1120,1138,1174,1184,1186,1203,1212,
1220],[1,2,3,4,5,6,7,8,9,10,11,12,14,16,18,19,20,21,22,23,24,25,26,28,29,30,
32,33,34,35,36,37,38,40,41,44,46,47,48,49,50,52,55,56,57,60,64,65,66,72,73,76,
79,80,81,83,84,85,87,89,90,93,94,95,97,99,100,104,106,109,110,113,114,117,118,
119,120,121,122,123,124,126,130,131,132,133,135,137,138,139,141,142,143,145,
146,147,148,149,154,158,159,161,164,167,168,169,173,175,177,178,180,181,186,
188,189,190,191,192,196,198,200,201,204,205,208,209,210,216,218,221,223,224,
225,226,227,231,235,236,237,239,240,241,243,251,252,253,256,257,258,265,269,
272,273,274,275,278,279,280,281,282,283,284,288,289,291,292,293,296,299,304,
306,307,308,309,310,312,313,318,319,320,322,330,331,332,333,341,342,348,349,
354,355,360,362,367,373,379,381,383,384,390,391,392,393,399,400,408,413,416,
417,418,419,420,421,424,426,427,428,433,436,441,448,449,452,461,462,469,470,
472,486,488,490,491,492,494,500,501,502,504,518,521,523,528,529,531,537,544,
545,558,562,571,575,578,586,587,589,590,593,594,595,597,598,602,606,609,616,
617,620,621,623,631,633,636,638,639,643,646,647,649,662,663,669,670,673,674,
675,677,678,683,687,689,692,694,695,699,703,705,706,710,712,718,721,723,726,
727,729,736,739,743,760,763,777,780,789,791,793,794,801,808,818,825,831,833,
845,851,863,865,875,887,888,889,893,900,906,914,932,936,938,944,946,949,954,
956,962,963,969,970,972,977,988,989,993,1000,1010,1021,1022,1028,1045,1056,
1068,1070,1072,1074,1075,1079,1084,1088,1090,1092,1105,1107,1109,1118,1126,
1129,1131,1172,1173,1176,1198,1212,1221],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,
16,17,18,19,20,21,22,23,24,25,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,46,
47,48,49,50,51,52,53,54,55,57,58,62,63,65,69,70,71,72,73,74,75,80,81,82,83,84,
85,87,88,89,90,92,93,94,95,98,99,100,103,105,106,108,109,110,112,113,116,120,
121,122,123,124,125,126,127,128,129,130,132,133,134,135,136,139,140,143,144,
145,146,148,149,151,152,153,154,157,158,160,161,162,163,164,165,166,167,168,
169,170,172,173,174,175,176,177,179,180,181,182,183,184,185,187,188,189,190,
192,193,194,196,197,199,200,201,202,203,204,205,206,207,208,209,210,211,212,
213,214,216,217,218,219,220,221,223,224,229,230,232,233,235,236,244,247,251,
252,253,256,257,258,264,267,268,269,270,271,272,273,274,275,276,277,278,279,
280,281,282,283,284,285,289,291,293,294,295,296,298,300,301,302,303,304,305,
306,308,311,312,316,317,320,321,322,323,324,327,328,329,330,335,336,337,339,
341,342,343,344,345,346,347,348,349,351,352,355,356,358,359,360,361,362,363,
364,366,369,370,371,372,374,375,376,377,378,379,380,382,385,386,389,390,391,
392,395,396,397,401,403,407,413,414,416,422,425,428,429,430,432,433,435,436,
437,440,443,447,448,449,451,453,454,456,458,459,461,462,464,466,467,469,470,
471,472,481,482,483,486,488,489,493,498,499,502,504,506,508,510,511,517,520,
521,522,525,528,530,531,532,533,534,535,536,538,539,540,541,544,545,546,547,
548,550,551,552,557,561,566,576,577,578,579,584,588,589,591,594,598,600,603,
606,609,617,618,620,621,623,630,631,632,634,635,637,638,640,641,642,643,644,
645,646,648,649,650,651,652,653,654,655,656,657,666,667,671,673,674,675,676,
680,681,682,683,686,687,688,691,692,694,695,698,699,703,704,708,710,713,714,
715,716,717,720,721,723,725,726,728,730,732,734,735,736,737,740,741,742,743,
745,747,748,750,751,753,754,755,758,759,761,764,767,769,770,773,776,778,779,
781,782,787,789,793,795,799,800,803,805,808,815,817,822,824,827,828,832,834,
841,842,844,856,859,862,870,872,880,883,884,887,888,889,891,896,901,917,921,
924,925,927,931,934,935,936,937,938,939,940,943,945,947,948,949,950,953,957,
964,965,967,971,973,975,984,985,988,989,990,991,997,1001,1002,1003,1004,1013,
1016,1024,1025,1031,1036,1037,1038,1044,1063,1066,1067,1070,1073,1074,1076,
1077,1083,1085,1087,1088,1092,1105,1106,1108,1111,1112,1123,1133,1139,1143,
1163,1171,1175,1192,1196,1212,1222],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,
17,18,19,20,21,22,23,24,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,
45,46,47,48,51,52,53,54,55,56,57,58,61,62,66,69,70,71,72,73,75,76,77,78,79,80,
81,82,83,84,85,86,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,
108,109,110,111,112,113,114,115,116,117,118,119,120,124,125,127,130,131,132,
135,136,137,138,139,141,142,143,145,147,148,150,151,153,154,155,156,157,158,
159,160,161,162,163,164,168,169,170,171,172,173,174,175,176,178,180,181,182,
183,185,186,187,188,189,190,191,193,194,196,197,198,199,203,204,205,206,207,
208,210,211,212,213,214,215,219,220,222,223,225,229,230,231,232,235,238,244,
245,247,249,251,252,253,254,255,258,260,262,267,269,270,271,272,274,275,276,
278,279,280,283,284,286,287,288,290,291,292,293,294,295,296,297,298,299,300,
301,302,303,304,305,307,309,310,313,314,315,316,318,319,321,323,325,326,327,
328,331,332,333,334,335,336,338,339,340,341,343,344,345,346,347,348,349,350,
351,353,354,355,356,357,359,360,361,362,363,364,365,367,368,369,370,372,375,
376,378,381,382,384,386,387,388,391,392,393,394,399,400,401,402,403,404,405,
406,407,408,409,410,411,412,414,415,417,418,419,420,421,423,426,427,432,433,
434,435,436,439,440,441,442,444,445,446,447,450,451,452,454,455,456,457,458,
460,463,464,465,466,467,468,469,470,471,472,473,474,475,476,477,478,479,480,
481,483,484,485,486,487,488,489,490,491,492,493,494,495,496,497,498,499,500,
501,502,503,504,505,506,507,508,509,510,512,513,514,515,524,530,549,550,551,
552,553,560,563,564,565,569,570,575,576,577,581,583,585,586,591,593,601,603,
604,610,611,613,614,616,618,619,620,622,624,625,626,627,629,632,634,635,638,
640,641,642,646,647,652,653,657,658,659,661,662,663,665,667,668,669,671,672,
673,677,679,680,682,684,685,686,688,690,693,695,696,697,699,701,702,704,705,
707,712,717,718,719,720,722,724,725,728,730,731,732,733,735,737,739,740,746,
752,754,755,756,757,767,768,771,772,774,775,777,779,783,784,785,786,790,792,
794,796,801,802,803,804,806,807,808,809,812,813,814,815,816,817,818,819,820,
821,822,823,830,831,832,833,835,836,837,840,842,843,844,845,848,850,852,853,
854,855,857,860,861,866,868,869,870,871,873,874,875,876,877,878,879,887,890,
895,904,908,916,918,925,931,932,934,935,938,942,945,952,954,957,959,960,966,
967,974,978,985,986,997,1005,1009,1014,1017,1018,1019,1020,1021,1022,1026,
1029,1032,1034,1038,1040,1041,1046,1047,1048,1054,1057,1059,1060,1062,1064,
1065,1069,1073,1079,1080,1086,1091,1093,1096,1097,1098,1099,1103,1104,1107,
1116,1123,1125,1127,1130,1147,1148,1157,1158,1165,1178,1182,1190,1195,1210,
1211,1223],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,26,
27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,51,52,53,54,55,
56,57,58,62,63,65,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,
89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,
111,112,113,114,115,116,117,118,119,120,122,124,125,127,128,129,130,131,132,
133,134,135,136,137,138,139,140,141,142,143,145,146,147,148,150,151,152,153,
154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,
173,174,175,176,177,178,180,181,182,183,184,185,186,187,188,189,190,191,192,
193,194,196,197,198,201,202,204,205,207,208,210,211,212,213,215,216,217,218,
219,220,221,223,224,231,232,235,238,244,245,247,249,251,252,253,254,255,258,
262,264,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,284,285,
286,287,288,290,291,292,293,294,295,296,297,299,300,301,302,303,304,305,307,
308,309,310,311,313,314,315,316,317,318,319,320,321,323,324,325,326,328,329,
330,331,332,333,334,335,336,337,338,340,341,342,343,344,345,346,348,349,350,
351,352,353,354,357,358,359,361,362,363,364,365,367,368,370,371,374,375,376,
378,379,381,382,384,385,386,387,388,391,392,393,394,396,397,399,400,401,402,
404,405,406,407,408,409,410,411,412,413,415,416,417,418,419,420,421,423,425,
426,427,428,432,433,434,435,436,439,440,441,442,443,444,445,446,447,448,449,
450,451,452,453,454,455,456,457,458,459,460,461,462,463,464,465,467,468,469,
470,471,472,474,475,476,477,478,479,480,481,483,484,485,486,487,489,491,493,
494,495,496,497,498,501,502,503,504,505,506,507,508,511,513,514,515,520,521,
522,525,528,530,531,532,534,535,536,541,544,545,546,547,548,551,560,561,566,
576,577,578,579,584,588,589,591,594,598,600,601,603,604,610,611,613,614,616,
618,619,621,622,624,625,626,627,628,629,630,631,633,634,636,638,639,640,641,
642,643,644,647,648,650,651,652,654,658,659,661,662,665,666,668,669,670,671,
672,673,674,676,677,678,679,681,683,684,690,691,693,694,696,697,698,699,700,
702,704,707,709,710,712,714,715,716,717,718,721,722,723,724,726,727,728,730,
731,733,734,735,736,737,738,743,745,746,748,750,751,752,755,756,757,767,768,
771,772,774,775,777,781,783,784,785,786,787,789,792,793,795,796,799,801,803,
804,808,809,812,813,814,815,820,821,822,824,827,830,832,833,834,836,837,841,
842,843,845,852,855,859,862,866,872,876,880,883,884,887,890,891,896,901,917,
921,922,923,926,928,929,930,933,934,940,942,943,946,947,948,949,951,954,955,
956,959,964,969,972,974,976,977,978,988,992,995,996,1003,1007,1008,1009,1010,
1013,1015,1017,1023,1024,1031,1037,1038,1041,1044,1047,1063,1069,1073,1076,
1086,1088,1091,1093,1096,1097,1098,1099,1103,1104,1106,1109,1124,1128,1135,
1138,1150,1152,1166,1175,1177,1194,1197,1211,1224],[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,
38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,64,67,
69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,91,92,93,94,95,96,97,98,99,
100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,
119,120,121,123,124,125,126,127,128,129,130,131,132,133,135,136,137,138,139,
140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,
159,160,161,162,163,164,165,168,169,170,171,172,173,174,175,176,178,179,180,
181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,
200,201,205,206,208,209,213,214,215,216,218,219,226,227,228,230,231,232,233,
234,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,
254,255,258,259,262,267,269,270,271,272,274,275,276,278,279,280,282,284,286,
287,288,289,290,291,292,295,296,297,299,300,301,302,303,304,305,306,307,309,
310,311,312,313,314,315,316,317,318,319,321,322,323,324,325,326,331,332,333,
334,335,338,340,341,342,343,344,345,346,348,349,350,351,353,354,355,356,357,
360,362,363,364,365,366,367,368,369,370,371,373,374,375,376,379,380,381,382,
383,384,385,387,388,390,391,393,394,395,396,397,398,399,400,401,402,403,404,
405,406,407,408,409,410,411,412,413,414,415,416,417,418,419,420,421,422,423,
424,426,427,428,429,430,431,432,434,435,436,437,438,439,440,441,442,444,445,
446,447,448,450,452,454,455,456,457,458,460,462,463,464,465,467,468,470,472,
474,475,476,477,478,479,480,481,482,483,484,485,486,487,489,491,493,494,495,
496,497,501,503,504,505,506,507,511,513,514,515,516,517,518,519,523,526,527,
529,530,531,533,537,538,539,540,542,543,550,552,554,555,556,557,558,559,560,
562,567,568,571,572,573,576,577,580,582,587,590,591,592,595,596,599,601,603,
604,607,610,611,612,613,614,616,617,618,619,622,624,625,626,627,629,634,637,
638,640,641,642,645,647,649,652,655,656,658,659,660,661,662,664,665,668,669,
671,672,673,674,675,676,677,679,684,686,687,688,689,690,692,693,695,696,697,
702,703,706,707,711,712,713,714,716,717,718,720,722,724,729,730,731,733,737,
744,746,747,749,751,752,753,755,756,757,760,762,763,764,765,766,768,771,772,
774,775,777,778,780,782,783,784,785,786,788,789,791,792,796,797,798,801,804,
809,810,811,812,813,814,820,821,822,825,826,829,830,832,833,834,836,837,838,
839,841,842,843,845,846,847,849,851,852,855,856,858,863,864,865,866,867,876,
881,882,885,886,887,890,899,907,911,912,913,924,934,936,937,939,941,942,944,
950,953,954,958,959,962,963,964,970,974,978,979,981,982,983,985,987,991,993,
998,999,1001,1009,1011,1012,1017,1041,1042,1043,1047,1049,1050,1052,1053,1055,
1056,1058,1061,1068,1069,1073,1078,1086,1091,1093,1094,1095,1096,1097,1098,
1099,1103,1104,1112,1114,1115,1118,1134,1137,1142,1146,1149,1156,1164,1181,
1188,1191,1193,1200,1211,1225],[1,2,3,4,5,9,10,11,12,13,14,15,16,17,21,23,24,
30,32,33,38,62,63,65,68,69,70,71,72,73,74,75,82,85,87,88,89,90,92,93,95,109,
112,122,130,134,164,166,167,172,177,194,208,251,252,253,258,264,267,268,270,
272,273,284,285,308,337,343,352,425,432,453,461,574,576,577,578,579,584,588,
589,591,594,598,600,603,618,621,648,654,887,891,896,901,917,919,920,921,1073,
1076,1088,1160,1162,1175,1218,1226],[1,3,8,9,10,19,20,34,43,53,61,62,66,68,69,
77,79,86,102,108,110,114,160,178,190,203,222,225,229,252,260,262,283,313,338,
346,490,507,510,512,524,549,569,570,574,585,586,591,610,611,613,625,657,802,
831,861,878,879,888,895,916,918,919,1059,1071,1085,1090,1093,1160,1185,1195,
1227],[1,3,6,7,9,10,18,22,25,26,27,28,40,49,50,52,59,60,62,64,67,68,69,76,78,
91,100,103,111,119,159,180,185,195,200,236,237,239,242,243,248,252,254,255,
256,257,259,282,301,314,333,373,410,437,438,518,526,537,556,574,591,592,595,
596,599,601,602,604,605,607,612,614,624,656,766,826,846,858,865,889,911,912,
913,919,1052,1083,1084,1089,1098,1159,1160,1161,1169,1193,1228],[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,
60,61,62,63,64,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,
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,
242,243,244,245,246,247,248,249,250,251,252,253,256,257,258,259,260,261,263,
264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,
283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,
302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,
321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,
340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,
359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,374,375,376,377,
378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,394,395,396,
397,398,399,400,401,402,403,404,405,406,407,408,409,410,411,412,413,414,415,
416,417,418,419,420,421,422,423,424,425,426,427,428,429,430,431,432,433,434,
435,436,437,438,439,440,441,442,443,444,445,446,447,448,449,450,451,452,453,
454,455,456,457,458,459,460,461,462,463,464,465,466,467,468,469,470,471,472,
473,474,475,476,477,478,479,480,481,482,483,484,485,486,487,488,489,490,491,
492,493,494,495,496,497,498,499,500,501,502,503,504,505,506,507,508,509,510,
511,512,513,514,515,516,517,518,519,520,521,522,523,524,525,526,527,528,529,
530,531,532,533,534,535,536,537,538,539,540,541,542,543,544,545,546,547,548,
549,550,551,552,553,554,555,556,557,558,559,560,561,562,563,564,565,566,567,
568,569,570,571,572,573,575,576,577,578,579,580,581,582,583,584,585,586,587,
588,589,590,591,592,593,594,595,597,598,600,602,603,605,606,608,609,615,616,
617,618,619,620,621,622,623,624,625,626,627,628,629,630,631,632,633,634,635,
636,637,638,639,640,641,642,643,644,645,646,647,648,649,650,651,652,653,654,
655,656,657,658,659,660,661,662,663,664,665,666,667,668,669,670,671,672,673,
674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,689,690,691,692,
693,694,695,696,697,698,699,700,701,702,703,704,705,706,707,708,709,710,711,
712,713,714,715,716,717,718,719,720,721,722,723,724,725,726,727,728,729,730,
731,732,733,734,735,736,737,738,739,740,741,742,743,744,745,746,747,748,749,
750,751,752,753,754,755,756,757,758,759,760,761,762,763,764,765,766,767,768,
769,770,771,772,773,774,775,776,777,778,779,780,781,782,783,784,785,786,787,
788,789,790,791,792,793,794,795,796,797,798,799,800,801,802,803,804,805,806,
807,808,809,810,811,812,813,814,815,816,817,818,819,820,821,822,823,824,825,
826,827,828,829,830,831,832,833,834,835,836,837,838,839,840,841,842,843,844,
845,846,847,848,849,850,851,852,853,854,855,856,857,858,859,860,861,862,863,
864,865,866,867,868,869,870,871,872,873,874,875,876,877,878,879,880,881,882,
883,884,885,886,887,888,889,891,892,893,894,895,896,897,898,899,900,901,902,
903,904,905,906,907,908,909,910,911,914,915,917,921,922,923,924,925,926,927,
928,929,930,931,932,933,934,935,936,937,938,939,940,941,942,943,944,945,946,
947,948,949,950,951,952,953,954,955,956,957,958,959,960,961,962,963,964,965,
966,967,968,969,970,971,972,973,974,975,976,977,978,979,980,981,982,983,984,
985,986,987,988,989,990,991,992,993,994,995,996,997,998,999,1000,1001,1002,
1003,1004,1005,1006,1007,1008,1009,1010,1011,1012,1013,1014,1015,1016,1017,
1018,1019,1020,1021,1022,1023,1024,1025,1026,1027,1028,1029,1030,1031,1032,
1033,1034,1035,1036,1037,1038,1039,1040,1041,1042,1043,1044,1045,1046,1047,
1048,1049,1050,1051,1052,1053,1054,1055,1056,1057,1058,1059,1060,1061,1062,
1063,1064,1065,1066,1067,1068,1070,1071,1072,1073,1074,1075,1076,1077,1078,
1079,1080,1081,1082,1083,1084,1085,1087,1088,1089,1090,1092,1100,1101,1102,
1104,1105,1106,1107,1108,1109,1110,1111,1112,1113,1114,1115,1116,1117,1118,
1119,1120,1121,1122,1123,1124,1125,1126,1127,1128,1129,1130,1131,1132,1133,
1134,1135,1136,1137,1138,1139,1140,1141,1142,1143,1144,1145,1146,1147,1148,
1149,1150,1151,1152,1153,1154,1155,1156,1157,1158,1163,1167,1168,1169,1170,
1171,1172,1173,1174,1175,1176,1179,1180,1181,1182,1183,1184,1185,1186,1187,
1189,1192,1196,1197,1198,1199,1200,1201,1202,1203,1204,1205,1206,1207,1208,
1209,1210,1212,1213,1215,1217,1219,1220,1221,1222,1229],[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,
63,64,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,
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,
245,246,247,248,249,250,251,252,253,254,255,258,259,260,261,262,263,264,265,
266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,
285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,
304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,
323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,
342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,
361,362,363,364,365,366,367,368,369,370,371,372,373,374,375,376,377,378,379,
380,381,382,383,384,385,386,387,388,389,390,391,392,393,394,395,396,397,398,
399,400,401,402,403,404,405,406,407,408,409,410,411,412,413,414,415,416,417,
418,419,420,421,422,423,424,425,426,427,428,429,430,431,432,433,434,435,436,
437,438,439,440,441,442,443,444,445,446,447,448,449,450,451,452,453,454,455,
456,457,458,459,460,461,462,463,464,465,466,467,468,469,470,471,472,473,474,
475,476,477,478,479,480,481,482,483,484,485,486,487,488,489,490,491,492,493,
494,495,496,497,498,499,500,501,502,503,504,505,506,507,508,509,510,511,512,
513,514,515,516,517,518,519,520,521,522,523,524,525,526,527,528,529,530,531,
532,533,534,535,536,537,538,539,540,541,542,543,544,545,546,547,548,549,550,
551,552,553,554,555,556,557,558,559,560,561,562,563,564,565,566,567,568,569,
570,571,572,573,575,576,577,578,579,580,581,582,583,584,585,586,587,588,589,
590,591,592,593,594,595,596,598,599,600,601,603,604,607,610,611,612,613,614,
615,616,617,618,619,620,621,622,623,624,625,626,627,628,629,630,631,632,633,
634,635,636,637,638,639,640,641,642,643,644,645,646,647,648,649,650,651,652,
653,654,655,656,657,658,659,660,661,662,663,664,665,666,667,668,669,670,671,
672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,689,690,
691,692,693,694,695,696,697,698,699,700,701,702,703,704,705,706,707,708,709,
710,711,712,713,714,715,716,717,718,719,720,721,722,723,724,725,726,727,728,
729,730,731,732,733,734,735,736,737,738,739,740,741,742,743,744,745,746,747,
748,749,750,751,752,753,754,755,756,757,758,759,760,761,762,763,764,765,766,
767,768,769,770,771,772,773,774,775,776,777,778,779,780,781,782,783,784,785,
786,787,788,789,790,791,792,793,794,795,796,797,798,799,800,801,802,803,804,
805,806,807,808,809,810,811,812,813,814,815,816,817,818,819,820,821,822,823,
824,825,826,827,828,829,830,831,832,833,834,835,836,837,838,839,840,841,842,
843,844,845,846,847,848,849,850,851,852,853,854,855,856,857,858,859,860,861,
862,863,864,865,866,867,868,869,870,871,872,873,874,875,876,877,878,879,880,
881,882,883,884,885,886,887,890,891,892,893,894,895,896,897,898,899,900,901,
902,903,904,905,906,907,908,909,910,911,912,913,916,917,918,921,922,923,924,
925,926,927,928,929,930,931,932,933,934,935,936,937,938,939,940,941,942,943,
944,945,946,947,948,949,950,951,952,953,954,955,956,957,958,959,960,961,962,
963,964,965,966,967,968,969,970,971,972,973,974,975,976,977,978,979,980,981,
982,983,984,985,986,987,988,989,990,991,992,993,994,995,996,997,998,999,1000,
1001,1002,1003,1004,1005,1006,1007,1008,1009,1010,1011,1012,1013,1014,1015,
1016,1017,1018,1019,1020,1021,1022,1023,1024,1025,1026,1027,1028,1029,1030,
1031,1032,1033,1034,1035,1036,1037,1038,1039,1040,1041,1042,1043,1044,1045,
1046,1047,1048,1049,1050,1051,1052,1053,1054,1055,1056,1057,1058,1059,1060,
1061,1062,1063,1064,1065,1066,1067,1068,1069,1073,1076,1078,1079,1080,1086,
1088,1091,1093,1094,1095,1096,1097,1098,1099,1100,1101,1102,1103,1104,1105,
1106,1107,1108,1109,1110,1111,1112,1113,1114,1115,1116,1117,1118,1119,1120,
1121,1122,1123,1124,1125,1126,1127,1128,1129,1130,1131,1132,1133,1134,1135,
1136,1137,1138,1139,1140,1141,1142,1143,1144,1145,1146,1147,1148,1149,1150,
1151,1152,1153,1154,1155,1156,1157,1158,1164,1165,1166,1172,1175,1177,1178,
1179,1180,1181,1182,1186,1188,1190,1191,1193,1194,1195,1196,1197,1198,1199,
1200,1201,1202,1203,1204,1205,1206,1207,1208,1209,1210,1211,1214,1215,1216,
1219,1223,1224,1225,1230],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,
21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,
47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,
73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,
99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,
118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,
137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,
156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,
175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,
194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,
213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,
232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,
251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,
270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,
289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,
308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,
327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,
346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,
365,366,367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,
384,385,386,387,388,389,390,391,392,393,394,395,396,397,398,399,400,401,402,
403,404,405,406,407,408,409,410,411,412,413,414,415,416,417,418,419,420,421,
422,423,424,425,426,427,428,429,430,431,432,433,434,435,436,437,438,439,440,
441,442,443,444,445,446,447,448,449,450,451,452,453,454,455,456,457,458,459,
460,461,462,463,464,465,466,467,468,469,470,471,472,473,474,475,476,477,478,
479,480,481,482,483,484,485,486,487,488,489,490,491,492,493,494,495,496,497,
498,499,500,501,502,503,504,505,506,507,508,509,510,511,512,513,514,515,516,
517,518,519,520,521,522,523,524,525,526,527,528,529,530,531,532,533,534,535,
536,537,538,539,540,541,542,543,544,545,546,547,548,549,550,551,552,553,554,
555,556,557,558,559,560,561,562,563,564,565,566,567,568,569,570,571,572,573,
574,575,576,577,578,579,580,581,582,583,584,585,586,587,588,589,590,591,592,
593,594,595,596,597,598,599,600,601,602,603,604,605,606,607,608,609,610,611,
612,613,614,615,616,617,618,619,620,621,622,623,624,625,626,627,628,629,630,
631,632,633,634,635,636,637,638,639,640,641,642,643,644,645,646,647,648,649,
650,651,652,653,654,655,656,657,658,659,660,661,662,663,664,665,666,667,668,
669,670,671,672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,687,
688,689,690,691,692,693,694,695,696,697,698,699,700,701,702,703,704,705,706,
707,708,709,710,711,712,713,714,715,716,717,718,719,720,721,722,723,724,725,
726,727,728,729,730,731,732,733,734,735,736,737,738,739,740,741,742,743,744,
745,746,747,748,749,750,751,752,753,754,755,756,757,758,759,760,761,762,763,
764,765,766,767,768,769,770,771,772,773,774,775,776,777,778,779,780,781,782,
783,784,785,786,787,788,789,790,791,792,793,794,795,796,797,798,799,800,801,
802,803,804,805,806,807,808,809,810,811,812,813,814,815,816,817,818,819,820,
821,822,823,824,825,826,827,828,829,830,831,832,833,834,835,836,837,838,839,
840,841,842,843,844,845,846,847,848,849,850,851,852,853,854,855,856,857,858,
859,860,861,862,863,864,865,866,867,868,869,870,871,872,873,874,875,876,877,
878,879,880,881,882,883,884,885,886,887,888,889,890,891,892,893,894,895,896,
897,898,899,900,901,902,903,904,905,906,907,908,909,910,911,912,913,914,915,
916,917,918,919,920,921,922,923,924,925,926,927,928,929,930,931,932,933,934,
935,936,937,938,939,940,941,942,943,944,945,946,947,948,949,950,951,952,953,
954,955,956,957,958,959,960,961,962,963,964,965,966,967,968,969,970,971,972,
973,974,975,976,977,978,979,980,981,982,983,984,985,986,987,988,989,990,991,
992,993,994,995,996,997,998,999,1000,1001,1002,1003,1004,1005,1006,1007,1008,
1009,1010,1011,1012,1013,1014,1015,1016,1017,1018,1019,1020,1021,1022,1023,
1024,1025,1026,1027,1028,1029,1030,1031,1032,1033,1034,1035,1036,1037,1038,
1039,1040,1041,1042,1043,1044,1045,1046,1047,1048,1049,1050,1051,1052,1053,
1054,1055,1056,1057,1058,1059,1060,1061,1062,1063,1064,1065,1066,1067,1068,
1069,1070,1071,1072,1073,1074,1075,1076,1077,1078,1079,1080,1081,1082,1083,
1084,1085,1086,1087,1088,1089,1090,1091,1092,1093,1094,1095,1096,1097,1098,
1099,1100,1101,1102,1103,1104,1105,1106,1107,1108,1109,1110,1111,1112,1113,
1114,1115,1116,1117,1118,1119,1120,1121,1122,1123,1124,1125,1126,1127,1128,
1129,1130,1131,1132,1133,1134,1135,1136,1137,1138,1139,1140,1141,1142,1143,
1144,1145,1146,1147,1148,1149,1150,1151,1152,1153,1154,1155,1156,1157,1158,
1159,1160,1161,1162,1163,1164,1165,1166,1167,1168,1169,1170,1171,1172,1173,
1174,1175,1176,1177,1178,1179,1180,1181,1182,1183,1184,1185,1186,1187,1188,
1189,1190,1191,1192,1193,1194,1195,1196,1197,1198,1199,1200,1201,1202,1203,
1204,1205,1206,1207,1208,1209,1210,1211,1212,1213,1214,1215,1216,1217,1218,
1219,1220,1221,1222,1223,1224,1225,1226,1227,1228,1229,1230,1231]],
0,[[1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,3,1],[1,3,1],[1,1,1,
1,1],[1,2,1,1],[1,1,2,1],[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],[1,3,1],[1,3,1],[1,3,1],[1,3,1],[1,3,1],[1,1,
1],[1,1,2,1],[1,1,2,1],[1,1,1,1,1],[1,2,1,1],[1,1,2,1],[1,1,2,1],[1,1,2,1],[1,
1,1,1,1],[1,1,1,1,1],[1,1,2,1],[1,1,1],[1,1,1,1,1],[1,1,1],[1,3,1],[1,1,2,1],[
1,1,2,1],[1,1,1,1,1],[1,1,2,1],[1,1,1],[1,1,2,1],[1,2,1,1],[1,1,1,1,1],[1,1,1,
1,1],[1,1,2,1],[1,1,1,1,1],[1,1,1,1,1],[1,1,1,1,1],[1,1,1,1,1],[1,1,1,1,1],[1,
1,1],[1,1,1],[1,3,1,1],[1,1,1,1],[1,1,1,1],[1,3,1,1],[1,1,1,1],[1,3,1,1],[1,3,
1,1],[1,1],[1,7,7,1],[1,3,1,3,1,3,3,1],[1,3,4,1,6,1],[1,1,3,3,1,3,3,1],[1,1,6,
3,4,1],[1,7,7,1],[1,1,6,3,4,1],[1,1,6,3,4,1],[1,1,3,1],[1,1,6,3,4,1],[1,1,3,
1],[1,1,2,1,2,1],[1,1,2,1,2,1],[1,1,1,1,4,1,2,2,2,1],[1,1,2,4,1,2,4,1],[1,1,2,
4,1,2,4,1],[1,1,2,4,1,2,4,1],[1,1,6,3,4,1],[1,1,3,3,1,3,3,1],[1,3,3,1,3,1,3,
1],[1,1,3,3,1,3,3,1],[1,6,1,1,3,3,1],[1,1,3,1],[1,1,3,1,2,1,1,2,1,2,1],[1,1,4,
2,1,1,1,2,2,1],[1,1,2,1,2,1],[1,3,2,2,1,1,1,4,1],[1,1,2,4,1,2,4,1],[1,1,2,4,1,
2,4,1],[1,1,1,1,1,2,1],[1,1,1,1,2,2,1,1,1,2,2,1],[1,3,2,2,1,1,1,4,1],[1,1,2,1,
2,1],[1,1,4,1,2,1],[1,3,1,2,1],[1,1,2,2,1,1],[1,1,1,1,4,1,2,2,2,1],[1,1,2,1,2,
1],[1,1,1,2,1],[1,3,4,1,2,4,1],[1,1,1,3,2,1,1,1,2,2,1],[1,3,1,1,1,1],[1,1,2,1,
2,1],[1,2,1,2,2,1,1,2,1,2,1],[1,1,1,1,1,1,1,1],[1,1,4,1,2,1],[1,1,4,2,1,1],[1,
1,2,1,2,1],[1,1,1,2,1],[1,1,4,1,2,1],[1,1,2,1,2,1],[1,1,2,4,1,2,4,1],[1,1,3,3,
1,3,3,1],[1,1,3,3,1,3,3,1],[1,1,3,3,1,3,3,1],[1,1,2,2,2,1,1,1,2,2,1],[1,1,2,4,
1,2,2,2,1],[1,1,5,1,2,2,1,2,1],[1,3,1,1,2,1,1,1,2,2,1],[1,3,2,1,1,1,1],[1,1,2,
2,1,1,1,1],[1,1,1,3,2,1,1,1,2,2,1],[1,1,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,3,2,1,
1,1,1],[1,1,1,5,2,1,2,1,1,1],[1,1,1,1,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,2,1,1,1,
1],[1,1,2,2,2,1,1,1,4,1],[1,1,1,1,2,2,1,1,1,2,2,1],[1,1,2,2,1,1,1,1],[1,1,2,2,
1,1,1,1],[1,1,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,1,1,2,1,1],[1,1,1,1,1,2,1],[1,
1,2,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,1,5,2,2,1,2,1],[1,1,2,
1,1,1,1],[1,1,2,2,1,1,1,1],[1,2,1,2,1,1,1,1],[1,1,2,2,2,1,1,1,4,1],[1,1,2,2,1,
1,1,1],[1,1,2,1,2,1],[1,1,4,2,1,1],[1,1,1,1,4,1,2,2,2,1],[1,1,1,1,2,2,1,1,1,2,
2,1],[1,1,2,2,1,1,1,1],[1,3,2,1,1,1,1],[1,1,2,1,2,1],[1,1,2,1,1,1,1],[1,2,1,1,
1,2,1,1,1,2,2,1],[1,1,4,2,1,1,1,2,2,1],[1,1,2,2,1,1,1,1],[1,2,2,3,1,2,1,2,1,
1],[1,2,5,1,2,3,1,1],[1,1,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,2,1,1,1,1],[1,1,2,
2,1,1,1,1],[1,2,1,2,2,1,1,1,1,1,1,1,1],[1,1,2,2,2,1,1,1,4,1],[1,1,1,1,1,1,1,
1],[1,1,2,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,4,3,1,1,2,3,1],[1,1,2,1,1,1,1],[1,1,
1,1,1,2,1],[1,3,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,1,1,1,1,1,1],[1,1,2,2,1,1,1,
1],[1,2,1,2,1,1,1,1],[1,3,2,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,2,2,1,1,1,2,2,1],[
1,1,2,2,1,1,1,1],[1,1,2,1,2,1],[1,3,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,3,2,1,1,1,
1],[1,1,1,1,2,2,1,1,1,2,2,1],[1,1,1,1,4,1,1,1,1,1,1,1,1],[1,1,2,1,2,1],[1,2,1,
2,2,1,1,2,1,2,1],[1,1,2,1,1,2,1,1,1,2,2,1],[1,1,3,1,2,1,1,1,2,2,1],[1,1,2,2,1,
1,1,1],[1,1,2,4,1,1,2,1,2,1],[1,3,2,1,1,1,1],[1,1,1,1,1,1,1,1],[1,1,4,1,2,1],[
1,1,2,2,1,1,1,1],[1,1,1,1,2,2,1,1,1,2,2,1],[1,1,2,2,1,1,1,1],[1,2,1,2,1,1,1,
1],[1,1,2,4,1,1,1,1,1,2,1],[1,1,3,3,1,1,1,2,2,1],[1,3,2,1,1,1,1],[1,1,2,2,1,1,
1,1],[1,1,2,2,1,1,1,1],[1,1,2,1,1,2,1,1,1,2,2,1],[1,1,2,2,1,1,1,1],[1,1,1,3,2,
1,1,1,2,2,1],[1,1,2,2,1,1,1,1],[1,2,1,1,1,1,1],[1,1,2,2,1,1,1,1],[1,2,1,2,2,1,
1,1,2,2,1],[1,3,2,1,1,1,1],[1,2,1,1,1,1,1],[1,1,1,1],[1,3,2,1,1,1,1],[1,1,1,1,
1,1,1,1],[1,1,1,1],[1,1,1,1,1,2,1],[1,1,1,1,1,2,1],[1,1,1,1,1,2,1],[1,1,4,1,2,
1],[1,1,2,2,1,1,1,1],[1,1,3,1,2,1,1,1,2,2,1],[1,2,1,1,1,2,1,1,1,1,1,1,1,1],[1,
1,1,1,1,1,1,1],[1,1,1,1,1,2,1],[1,1,2,2,1,1,1,1],[1,1,4,2,1,1,1,2,2,1],[1,1,2,
1,2,1],[1,1,1,3,2,1,1,1,2,2,1],[1,3,2,1,1,1,1],[1,3,2,1,1,1,1],[1,1,2,2,1,1,1,
1],[1,5,1,1,1,1],[1,5,1,1,1,1],[1,1,1,1,1,1,2,1,1,1,1,1,1,1,1],[1,1,1,1,4,1,1,
1,1,1,1,1,1],[1,2,1,2,1,1,1,1],[1,1,1,1,1,1,2,1,1,1,1,1,1,1,1],[1,2,3,1,1,1,
1],[1,1,1,1,4,1,1,1,1,1,1,1,1],[1,3,2,1,1,1,1],[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],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,1,3,3,1,3,
1,1,1,1],[1,1,6,1,3,1,1,1,1],[1,1,3,3,1,3,1,1,1,1],[1,3,4,1,1],[1,1,3,3,1,3,1,
1,1,1],[1,1,1,1,1,1,1,1,1,1],[1,1,3,3,1,3,1,1,1,1],[1,1,3,3,1,3,1,1,1,1],[1,1,
7,3,4,7,3,3,4,6,12,1,1,1,6,6,1],[1,4,1,6,4,6,3,4,4,6,12,1,4,4,6,1],[1,1,6,4,3,
4,2,2,4,1,1,1,4,1],[1,3,3,5,4,1,1,5,3,3,4,2,2,2,4,4,4,1,1,1,2,2,2,2,4,1],[1,1,
3,3,8,1,3,3,4,4,4,8,8,1,2,2,2,4,4,1],[1,1,3,7,4,1,3,5,4,2,4,4,4,8,1,1,1,2,2,4,
4,1],[1,1,10,4,2,3,8,2,4,12,4,1,4,2,4,4,1],[1,1,2,4,4,1,2,2,2,4,4,1,1,1,4,1],[
1,1,3,3,4,4,1,3,3,2,2,4,4,4,4,8,1,1,1,2,2,4,4,1],[1,1,3,3,1,3,3,4,1,2,2,2,1],[
1,1,6,3,4,4,1,2,1],[1,1,2,4,4,1,2,2,2,4,4,1,1,1,4,1],[1,1,6,4,3,4,2,2,4,1,1,1,
4,1],[1,1,3,3,1,3,3,2,2,1,1,1,2,2,1],[1,1,6,3,4,4,1,2,1],[1,3,6,6,1,3,3,2,2,6,
6,12,3,6,6,1],[1,3,1,3,3,3,1],[1,3,6,6,1,1,3,1,3,3,2,3,6,12,3,3,3,6,1],[1,4,1,
6,4,1,3,6,1,3,3,3,9,3,3,1,1,3,1,3,3,3,1],[1,1,1,1,2,2,1,1,2,1,2,2,2,1,1,1,2,2,
1],[1,1,2,8,1,4,2,4,4,1,1,1,2,2,1],[1,1,1,1,2,2,1,1,2,1,2,2,2,1,1,1,2,2,1],[1,
1,2,8,4,1,2,4,2,6,4,4,8,4,1,2,4,4,4,1],[1,1,2,4,1,2,4,1,1,2,1,2,1],[1,1,1,3,2,
4,4,1,1,1,2,2,2,2,4,4,4,4,8,1,1,1,2,2,4,4,1],[1,3,4,1,1,1,2,2,1,1,1,2,2,1],[1,
1,4,2,1,1,2,1,2,2,2,1,1,1,1],[1,2,1,2,2,1,1,2,2,1,2,2,1,1,1,1],[1,1,1,1,4,2,2,
4,1,2,1,2,1,2,2,2,2,2,2,8,8,1,1,1,2,2,4,4,1],[1,3,2,2,4,1,1,1,2,4,4,2,1,1,1,2,
2,1],[1,1,2,4,4,1,2,2,4,2,4,1,1,1,2,2,1],[1,1,2,1,2,2,2,1,2,1],[1,1,2,4,1,4,2,
1,1,2,1,2,1],[1,3,2,2,4,1,1,2,1,4,4,2,1,1,1,2,2,1],[1,7,2,2,7,1,1,2,4,1,1,1,2,
2,1],[1,1,2,4,4,1,2,4,2,2,4,1,1,1,2,2,1],[1,1,1,3,2,4,4,1,1,2,1,2,2,2,4,4,4,4,
8,1,1,1,2,2,4,4,1],[1,1,1,3,2,1,1,2,1,2,2,2,1,1,1,2,2,1],[1,1,1,1,4,1,2,1,1,2,
2,2,1,1,1,2,2,1],[1,1,2,4,8,1,2,4,6,2,4,8,4,4,1,2,4,4,4,1],[1,1,1,1,1,1,3,2,1,
1,1,2,2,1],[1,1,6,8,1,2,2,4,4,10,8,4,1,2,4,4,4,1],[1,1,1,1,6,2,4,1,1,3,4,2,2,
2,4,4,4,8,1,1,1,2,2,4,4,1],[1,3,2,2,4,1,1,2,1,2,4,4,1,1,1,2,2,1],[1,2,1,2,2,4,
1,1,2,2,1,2,2,4,1,1,1,2,2,1],[1,1,2,4,1,2,4,4,1,2,1],[1,3,4,1,1,3,2,1,1,1,2,2,
1],[1,3,2,6,1,3,1,4,2,4,1,1,1,2,2,1],[1,3,2,2,4,1,1,2,1,2,4,4,1,1,1,2,2,1],[1,
1,3,3,1,3,3,2,2,1,1,1,2,2,1],[1,2,1,2,2,4,1,1,2,2,1,2,4,2,1,1,1,2,2,1],[1,1,1,
1,4,4,1,1,1,2,2,4,4,1,1,1,2,2,1],[1,1,2,4,4,1,2,2,4,2,4,1,1,1,2,2,1],[1,1,6,3,
4,4,1,2,1],[1,3,1,3,1,3,3,1,1,2,1,1,1,2,2,1],[1,1,2,4,1,2,4,4,1,2,1],[1,3,4,4,
1,1,1,6,2,4,1,1,1,2,2,1],[1,1,4,2,4,1,1,2,1,2,4,2,2,1,1,1,2,2,1],[1,1,1,1,1,3,
1,2,1,1,1,2,2,1],[1,1,2,4,1,2,2,2,1,1,1,2,2,1],[1,1,2,8,1,2,4,4,4,1,2,4,1],[1,
1,4,2,1,1,2,1,2,2,2,1,1,1,1],[1,1,2,4,1,2,2,4,2,1,1,1,1],[1,1,2,4,1,2,4,4,1,2,
1],[1,1,2,8,1,2,4,4,4,1,1,1,2,2,1],[1,1,2,4,1,2,2,2,1,1,1,2,2,1],[1,3,6,2,1,1,
3,4,2,4,1,1,1,2,2,1],[1,1,1,1,2,6,4,1,3,1,4,2,2,2,4,4,4,8,1,1,1,2,2,4,4,1],[1,
3,1,3,2,2,4,1,3,3,1,1,2,2,2,2,2,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,2,1,2,2,1,1,2,2,
1,2,2,1,1,1,1],[1,2,1,4,8,1,1,1,2,4,2,2,4,8,6,2,2,1,2,1,1,2,2,2,4,1],[1,3,4,1,
3,1,2,1,1,1,2,2,1],[1,1,2,1,2,2,2,1,2,1],[1,1,1,1,4,4,1,2,1,1,2,4,4,1,1,1,2,2,
1],[1,3,2,2,4,1,1,2,1,2,4,4,1,1,1,2,2,1],[1,1,4,2,4,1,1,2,1,2,2,4,2,1,1,1,2,2,
1],[1,1,3,3,8,1,1,1,2,2,8,2,4,4,2,2,6,1,1,1,1,1,1,1,4,4,1],[1,3,4,2,2,1,1,6,1,
2,4,1,1,1,2,2,1],[1,1,1,3,2,1,1,2,1,2,2,2,1,1,1,2,2,1],[1,7,4,7,1,1,2,4,1,1,1,
2,2,1],[1,1,2,8,1,2,4,4,4,1,2,4,1],[1,1,3,3,1,3,3,4,1,2,2,2,1],[1,1,6,4,3,4,2,
2,4,1,1,1,2,2,1],[1,3,4,1,2,1,1,2,1,1,1,2,2,1],[1,3,2,2,4,1,1,2,1,2,4,4,1,1,1,
2,2,1],[1,1,1,3,10,1,3,3,3,10,6,3,3,3,1,1,1,3,3,3,3,1],[1,3,3,3,6,1,1,1,3,3,2,
3,3,6,6,6,3,3,3,6,1],[1,1,2,2,6,1,1,1,3,1,4,4,1,1,1,1,1,1,1,1],[1,1,2,2,2,1,2,
1,1,2,2,2,1,1,1,1],[1,1,2,2,2,4,1,2,1,1,2,2,2,2,2,1,1,1,2,2,1],[1,3,2,2,4,1,1,
1,2,2,4,4,1,1,1,1,1,1,1,1],[1,2,1,2,2,1,1,2,1,1,2,1,2,1,1,1,2,2,1],[1,2,1,2,2,
4,1,1,2,1,2,2,4,2,1,1,1,2,2,1],[1,1,2,2,2,1,2,1,1,2,2,2,1,1,1,1],[1,1,6,4,3,4,
1,2,1,2,2,1,1,1,2,2,1],[1,3,2,2,2,2,1,1,1,1,1,1,4,1,4,1,1,1,1,1,1,1,1],[1,3,4,
2,2,1,1,6,1,1,1,4,1,1,1,1,1,1,1,1],[1,1,4,2,2,2,4,1,1,1,2,1,1,2,2,2,4,2,4,2,2,
4,4,1,1,1,2,2,2,2,4,1],[1,1,2,2,2,4,1,2,1,1,2,4,4,1,1,1,1,1,1,1,1],[1,3,5,1,2,
1,2,2,2,1,1,2,2,2,1,1,2,1,2,1],[1,1,1,1,2,2,1,1,2,1,1,1,2,2,1,1,1,1,1,1,1,1],[
1,3,2,6,1,1,1,3,1,4,4,1,1,1,1,1,1,1,1],[1,1,2,4,4,1,2,1,4,2,1,2,2,1,1,1,2,2,
1],[1,1,3,1,2,2,2,4,1,1,2,1,1,1,2,2,2,2,4,4,2,2,4,4,1,1,1,1,1,1,1,4,4,1],[1,1,
1,1,4,2,2,1,2,2,2,1,1,1,2,1,2,1,1,1,1,1,1,1,1],[1,1,2,4,1,2,2,2,2,2,1,1,1,1],[
1,3,2,2,1,1,1,4,4,1,2,1],[1,1,4,2,2,2,1,1,1,1,2,1,1,2,2,1,2,1,1,1,1,1,1,1,1],[
1,1,6,2,2,1,1,3,4,1,1,4,1,1,1,1,1,1,1,1],[1,3,4,2,2,1,1,1,6,1,1,4,1,1,1,1,1,1,
1,1],[1,1,2,1,3,1,2,1,1,1,1],[1,1,4,2,4,1,1,1,2,2,2,2,2,2,1,1,1,2,2,1],[1,1,2,
4,2,2,1,2,4,1,1,2,2,2,1,1,1,2,2,1],[1,1,2,2,2,1,1,1,1,2,3,2,1,1,1,2,2,1],[1,1,
2,4,2,2,1,1,1,2,1,1,4,4,1,1,1,1,1,1,1,1],[1,3,2,2,1,1,1,4,2,2,1,1,1,1],[1,1,1,
1,2,2,1,1,1,2,2,4,1,2,2,2,1],[1,1,2,2,2,1,2,1,1,1,1,1,1,1,1,1,1,1,1],[1,3,1,3,
2,2,1,3,3,1,1,1,2,1,2,1,1,1,1,1,1,1,1],[1,3,1,3,4,1,3,3,2,2,2,2,1,1,1,2,2,1],[
1,3,2,4,2,1,2,1,1,1,1,4,4,1,1,1,1,1,1,1,1],[1,1,2,2,6,1,1,1,3,1,4,4,1,1,1,1,1,
1,1,1],[1,1,2,1,1,3,2,1,1,1,1],[1,1,1,1,6,6,1,1,1,2,2,2,2,6,2,6,6,4,1,2,2,1,1,
2,2,2,2,1],[1,1,2,4,2,2,1,1,2,1,4,1,1,4,1,1,1,1,1,1,1,1],[1,1,4,2,4,1,1,2,1,2,
2,2,4,1,1,1,2,2,1],[1,3,4,2,2,1,1,1,2,1,1,4,4,1,1,1,1,1,1,1,1],[1,1,1,1,2,4,2,
1,2,1,1,1,2,1,2,2,2,1,1,1,1,1,1,1,1],[1,3,1,5,2,1,2,2,1,1,2,2,2,2,1,2,1,1,2,
1],[1,2,1,2,2,1,1,2,1,2,2,2,1,1,1,1],[1,2,1,2,2,2,2,1,1,2,1,1,2,1,1,2,1,2,1,1,
1,1,1,1,1,1],[1,1,2,4,1,2,4,4,1,2,1],[1,1,2,6,2,1,1,3,4,1,1,4,1,1,1,1,1,1,1,
1],[1,1,2,2,2,4,1,2,1,1,2,4,4,1,1,1,1,1,1,1,1],[1,1,3,1,2,2,2,1,1,2,1,1,1,2,2,
2,2,1,1,1,1,1,1,1,1],[1,1,2,2,2,4,1,1,1,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,2,4,4,1,
2,1,4,2,1,2,2,1,1,1,2,2,1],[1,1,2,2,2,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,1,2,2,6,1,
1,1,3,1,4,4,1,1,1,1,1,1,1,1],[1,1,2,8,1,4,2,4,4,1,1,1,1,2,1,1],[1,2,1,2,2,2,2,
4,1,1,2,1,2,1,1,2,2,2,2,2,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,3,2,2,1,1,2,1,1,1,1,1,
1,1,1,1,1,1],[1,1,1,1,2,2,1,1,1,1,3,2,2,1,1,1,1,1,1,1,1],[1,3,2,2,1,1,1,4,1,1,
1,1,1,1,1,1],[1,3,2,2,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,1,2,4,1,1,1,2,2,1,1,1,1,1,
1,1,1],[1,1,4,2,4,1,1,2,1,2,4,2,2,1,1,1,2,2,1],[1,1,2,2,2,4,1,1,1,2,2,2,2,2,2,
1,1,1,2,2,1],[1,1,2,2,2,3,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,6,2,2,3,4,1,1,2,2,2,1,
1,1,2,2,1],[1,1,2,2,2,1,2,1,1,2,1,1,1,1,1,1,1,1],[1,1,2,2,2,1,2,1,1,1,1,1,1,1,
1,1,1,1,1],[1,1,2,2,2,1,1,1,1,1,2,1,1,1,1,1,1,1,1],[1,1,2,4,4,1,1,1,2,2,4,4,1,
1,1,1,1,1,1,1],[1,1,2,2,2,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,1,2,2,2,1,3,1,1,2,1,2,
1,1,2,1,2,1],[1,1,1,1,2,2,1,1,2,1,1,1,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,1,2,4,4,1,
2,1],[1,3,1,5,6,1,3,1,2,1,4,1,1,2,3,8,6,2,1,1,1,2,1,1,3,2,1,2,1],[1,1,2,2,4,2,
1,2,1,1,1,4,1,4,1,1,1,1,1,1,1,1],[1,1,2,4,1,1,1,2,2,1,1,1,1,1,1,1,1],[1,1,4,2,
4,1,1,2,1,2,4,2,2,1,1,1,2,2,1],[1,2,1,5,1,2,1,2,2,1,1,2,2,2,2,1,2,1,1,2,1],[1,
1,1,1,2,2,1,1,1,2,2,2,2,1,1,1,2,2,1],[1,1,1,1,2,2,1,1,1,2,2,4,1,2,2,2,1],[1,2,
3,4,6,1,2,1,1,4,1,2,3,1,2,3,4,2,8,2,1,1,2,1,2,4,2,1],[1,1,4,2,1,1,2,1,2,2,2,1,
1,1,1],[1,3,4,1,1,1,2,2,1,1,1,1,1,1,1,1],[1,1,3,3,2,2,1,3,3,1,1,1,1,2,2,1,1,1,
1,1,1,1,1],[1,1,1,3,2,2,2,1,1,1,1,1,2,2,1,1,2,2,1,1,1,1,1,1,1,1],[1,3,2,2,1,1,
1,4,4,1,2,1],[1,3,2,2,1,1,1,4,4,1,2,1],[1,1,2,2,2,1,2,1,1,2,1,1,1,1,1,1,1,1],[
1,1,3,1,2,1,1,2,1,1,1,2,2,1,1,1,1,1,1,1,1],[1,1,2,2,2,4,1,1,1,1,1,2,4,4,1,1,1,
1,1,1,1,1],[1,1,2,2,6,1,1,1,3,1,4,4,1,1,1,1,1,1,1,1],[1,1,4,2,1,1,1,1,2,2,1,2,
1,1,1,2,2,1],[1,1,2,2,4,2,2,1,1,1,1,1,4,4,1,1,1,1,1,1,1,1],[1,1,2,2,6,1,1,1,3,
1,4,4,1,1,1,1,1,1,1,1],[1,1,2,4,4,2,1,1,1,2,4,4,1,1,1,1,1,1,1,1],[1,1,1,1,4,2,
2,1,2,1,2,1,2,1,1,2,2,1,1,1,1,1,1,1,1],[1,1,4,2,1,1,1,2,2,2,2,1,1,1,1],[1,1,1,
3,2,1,1,1,2,2,2,2,1,1,1,2,2,1],[1,3,2,6,1,1,1,3,1,4,4,1,1,1,1,1,1,1,1],[1,1,2,
4,4,1,2,1,4,2,1,2,2,1,1,1,2,2,1],[1,1,2,2,2,1,1,1,2,1,1,1,1,1,1,1,1,1,1],[1,2,
1,4,8,1,1,1,1,5,2,4,4,5,5,3,3,1,1,1,3,2,1,1,1,2,2,1],[1,1,3,1,2,4,1,1,2,1,1,1,
2,2,2,2,1,1,1,1,1,1,1,1],[1,1,1,1,4,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,1,3,2,
4,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,1,1,2,6,1,1,1,2,3,2,1,2,2,1,1,1,1,1,
1,1,1],[1,1,1,3,2,2,2,1,1,1,1,1,2,2,1,1,2,2,1,1,1,1,1,1,1,1],[1,1,1,3,2,1,1,1,
2,2,2,2,1,1,1,2,2,1],[1,1,2,2,2,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,1,1,7,6,1,1,1,3,
1,3,2,5,6,8,4,1,1,1,1,1,2,2,1,1,2,2,1],[1,1,4,2,1,1,2,1,2,2,2,1,1,1,1],[1,1,2,
2,2,4,1,1,1,2,2,4,4,1,1,1,1,1,1,1,1],[1,3,2,2,4,1,1,1,2,4,2,4,1,1,1,1,1,1,1,
1],[1,1,2,2,6,1,1,1,3,1,4,4,1,1,1,1,1,1,1,1],[1,1,2,4,1,2,2,2,2,2,1,1,1,1],[1,
3,2,2,2,2,1,1,1,1,1,1,4,1,4,1,1,1,1,1,1,1,1],[1,1,2,6,2,3,1,1,4,1,1,4,1,1,1,1,
1,1,1,1],[1,1,4,2,1,1,2,1,2,2,2,1,1,1,1],[1,1,1,3,2,2,2,1,1,1,1,1,1,1,2,2,2,2,
1,1,1,1,1,1,1,1],[1,2,1,2,2,4,1,1,2,1,2,2,2,2,2,1,1,1,2,2,1],[1,3,2,2,2,2,1,1,
1,1,1,1,1,4,4,1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1,1,2,1],[1,1,2,2,2,4,1,1,1,2,2,4,
4,1,1,1,1,1,1,1,1],[1,1,2,2,2,4,1,1,1,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,2,4,1,2,4,
1,1,1,2,1,1,1],[1,1,2,4,1,1,1,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,1,1,1,2,2,1,1,1,1,
1,1,1,1],[1,1,2,4,1,1,1,2,2,1,1,1,1,1,1,1,1],[1,1,1,1,2,6,1,1,1,2,3,2,1,2,2,1,
1,1,1,1,1,1,1],[1,1,3,1,2,2,2,1,1,2,1,1,1,1,2,1,2,2,1,1,1,1,1,1,1,1],[1,2,1,1,
5,2,1,2,2,2,1,1,2,2,2,1,1,1,2,2,1],[1,1,2,4,2,2,1,1,1,2,4,1,1,4,1,1,1,1,1,1,1,
1],[1,1,2,2,2,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,1,1,1,2,2,8,1,1,1,2,4,2,4,4,4,2,2,
2,2,4,1,1,1,1,1,1,1,4,4,1],[1,1,3,3,2,2,1,3,3,1,1,1,1,2,2,1,1,1,1,1,1,1,1],[1,
1,2,4,2,1,1,1,2,1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1,4,1,2,1],[1,1,1,1,4,2,2,1,2,1,
1,2,2,1,1,2,2,1,1,1,1,1,1,1,1],[1,3,1,1,1,1,2,1],[1,1,1,1,4,2,2,1,1,1,2,1,2,1,
2,2,2,1,1,1,1,1,1,1,1],[1,1,2,1,2,1,2,1],[1,1,3,1,2,2,2,1,1,2,1,1,1,1,2,1,2,2,
1,1,1,1,1,1,1,1],[1,1,2,4,2,2,1,1,1,2,1,4,1,4,1,1,1,1,1,1,1,1],[1,1,1,1,2,2,4,
1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,2,2,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,1,1,
1,1,1,1,4,1,1,1,1,1,1,1,1],[1,1,1,1,4,4,1,2,2,2,2,2,2,2,1,1,1,2,2,1],[1,1,1,1,
8,1,1,1,4,4,4,1,2,2,2,1],[1,1,1,1,1,1,1,1,2,1],[1,1,2,2,2,1,3,1,1,1,1,1,1,1,1,
1,1,1],[1,1,4,2,4,1,1,1,2,2,2,4,2,1,1,1,2,2,1],[1,1,2,2,2,1,1,1,1,3,1,1,1,1,1,
1,1,1],[1,3,2,2,1,1,1,2,4,2,1,1,1,1],[1,1,1,1,2,2,1,1,1,1,3,2,2,1,1,1,1,1,1,1,
1],[1,1,6,2,2,1,3,1,4,1,1,4,1,1,1,1,1,1,1,1],[1,3,8,1,1,1,4,4,4,1,1,1,1,1,1,1,
1],[1,1,4,2,4,1,1,1,2,2,2,2,4,1,1,1,2,2,1],[1,1,2,1,2,1,2,1],[1,3,8,1,1,1,4,8,
2,1,2,2,1],[1,1,4,2,1,1,1,2,2,2,2,1,1,1,1],[1,3,1,1,1,1,2,1],[1,1,2,2,2,1,1,1,
1,3,1,1,1,1,1,1,1,1],[1,3,2,2,1,1,2,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,2,2,1,2,1,1,
1,1,1,1,1,1,1,1,1,1],[1,1,1,7,2,1,2,2,1,1,2,2,2,2,1,1,1,2,2,1],[1,1,2,3,3,2,1,
2,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,4,2,1,1,2,1,2,2,2,1,1,1,1],[1,2,1,1,1,
2,1,1,1,2,2,2,2,1,1,1,1],[1,1,3,3,2,2,1,3,3,1,1,1,1,2,2,1,1,1,1,1,1,1,1],[1,6,
1,2,2,1,3,1,3,1,2,1,1,2,1,1,1,1,1,1,1,1],[1,3,3,1,2,2,3,1,3,1,1,1,1,2,2,1,1,1,
1,1,1,1,1],[1,1,4,2,4,1,1,2,4,1,2,2,2,1,1,1,2,2,1],[1,1,4,3,2,1,1,1,1],[1,2,2,
3,2,2,1,2,1,2,1,1,1,2,1,1,2,1,1,1,1,1,1,1,1],[1,1,2,8,3,4,1,2,1,2,2,1,1,1,2,2,
1],[1,1,5,3,2,2,1,2,1,1,2,2,2,2,1,1,1,2,2,1],[1,2,5,2,2,1,2,1,3,1,1,2,1,1,2,1,
1,1,1,1,1,1,1],[1,1,7,1,2,2,1,2,1,1,2,2,2,2,1,1,1,2,2,1],[1,2,1,2,2,2,2,4,1,1,
1,1,2,1,1,1,1,2,1,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,2,1,2,2,2,1],[1,1,1,3,2,2,2,1,
1,1,2,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,2,2,3,2,2,1,2,1,1,2,1,1,1,1,2,2,1,1,1,1,
1,1,1,1],[1,2,1,3,3,2,1,1,1,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,4,3,2,2,1,1,1,
2,3,1,1,1,2,2,1,1,1,1,1,1,1,1],[1,1,1,5,2,2,2,1,2,1,1,1,1,1,1,2,2,1,1,1,1,1,1,
1,1],[1,2,5,2,2,1,2,3,1,1,1,1,1,2,2,1,1,1,1,1,1,1,1],[1,1,8,2,3,1,4,1,2,2,2,1,
1,1,2,2,1],[1,1,2,3,3,2,1,1,1,1,1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,5,1,2,1,2,
1,2,1,1,1,2,2,2,1,1,1,1,1,1,1,1],[1,3,3,3,2,1,1,1,1,1,1,1,2,2,2,2,1,1,1,1,1,1,
1,1],[1,4,3,2,2,1,1,2,3,1,1,2,1,1,2,1,1,1,1,1,1,1,1],[1,1,3,1,2,1,2,1,1,2,2,2,
1,1,1,1],[1,1,1,3,2,1,1,2,1,2,2,2,1,1,1,1],[1,1,3,3,2,2,1,3,1,3,1,1,1,2,2,1,1,
1,1,1,1,1,1],[1,1,3,3,2,2,1,1,3,3,1,1,1,2,2,1,1,1,1,1,1,1,1],[1,1,1,5,2,2,2,1,
2,1,1,1,1,1,1,2,2,1,1,1,1,1,1,1,1],[1,1,3,3,2,2,1,3,3,1,1,1,1,2,2,1,1,1,1,1,1,
1,1],[1,3,3,1,2,2,3,1,1,3,1,1,1,2,2,1,1,1,1,1,1,1,1],[1,1,4,3,2,1,1,1,1],[1,1,
1,1,4,1,2,2,2,2,2,1,1,1,1],[1,1,1,3,2,4,1,1,1,1,2,2,2,1,2,2,1,1,1,1,1,1,1,1],[
1,1,1,1,2,2,4,1,1,2,2,1,1,2,2,1,2,1,1,1,1,1,1,1,1],[1,1,4,1,2,2,1,1,1,1],[1,1,
2,4,1,2,1,2,1,2,2,1,1,1,1],[1,1,2,4,4,1,1,2,4,2,1,2,2,1,1,1,2,2,1],[1,1,2,4,1,
1,2,2,1,2,2,1,1,1,1],[1,1,2,1,5,2,1,2,1,2,1,1,1,2,2,2,1,1,1,1,1,1,1,1],[1,1,4,
2,2,1,1,1,2,2,2,1,1,1,1],[1,3,1,1,2,1,1,1,2,2,2,2,1,1,1,1],[1,2,1,3,3,6,1,1,1,
2,2,1,1,2,3,3,2,2,4,4,6,1,1,1,2,2,2,2,4,1],[1,2,1,2,2,1,1,1,1,1,1,1,1,1,2,1,1,
1,1,1,1,1,1],[1,1,3,5,2,1,2,2,1,1,2,2,2,2,1,1,1,2,2,1],[1,1,4,4,1,2,2,1,1,1,
1],[1,1,4,1,2,2,1,1,1,1],[1,1,4,4,2,1,2,1,1,1,1],[1,6,1,2,2,1,3,3,1,1,1,1,2,2,
1,1,1,1,1,1,1,1],[1,1,3,1,2,1,1,2,1,2,2,2,1,1,1,1],[1,1,1,3,2,1,2,1,1,2,2,2,1,
1,1,1],[1,1,8,1,2,2,1,1,1,1],[1,1,8,1,2,2,1,1,1,1],[1,1,5,3,2,1,1,3,1,3,2,2,2,
1,1,1,1,1,1,1,1],[1,1,2,1,1,2,1,1,1,2,2,2,2,1,1,1,1],[1,1,3,5,2,1,1,3,1,3,2,2,
2,1,1,1,1,1,1,1,1],[1,7,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,1,6,4,3,4,4,1,1,1],[1,
3,1,3,4,1,3,3,4,1,1,1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,6,1,4,1,3,3,4,1,1,1],[1,3,
6,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,6,4,1,
3,3,4,3,1,1],[1,3,3,1,4,3,1,3,4,1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,
4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,4,4,1,6,4,1,1,1],[1,1,3,3,4,1,3,3,4,1,1,
1],[1,3,6,4,1,3,3,4,3,1,1],[1,7,4,7,4,1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,6,4,
1,3,3,4,3,1,1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,6,3,4,1,3,
3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,3,6,4,1,3,3,4,
3,1,1],[1,7,4,7,4,1,1,1],[1,1,6,4,3,4,4,1,1,1],[1,9,4,1,3,3,4,3,1,1],[1,1,6,4,
3,4,4,1,1,1],[1,1,6,4,3,4,4,1,1,1],[1,9,4,3,1,3,4,3,1,1],[1,1,3,3,4,1,3,3,4,1,
1,1],[1,9,4,3,1,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,1,3,3,4,1,3,3,4,1,1,1],[
1,1,4,3,4,1,1],[1,1,4,3,4,1,1],[1,9,4,1,3,3,4,3,1,1],[1,1,6,4,3,4,4,1,1,1],[1,
1,4,3,4,1,1],[1,1,1,1,3,3,6,1,1,3,3,3,3,3,3,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1],[
1,1,6,12,3,4,6,6,8,12,1,2,2,3,3,6,6,12,3,6,6,1],[1,1,3,3,12,12,1,3,3,6,6,8,8,
12,12,12,12,24,24,24,1,3,3,6,6,8,8,12,12,12,12,24,24,24,3,4,6,6,12,1],[1,3,7,
9,12,7,1,9,3,9,12,4,6,18,6,8,12,12,12,36,1,1,3,3,1,2,3,3,18,6,18,6,6,12,12,12,
24,24,3,3,3,4,6,12,1],[1,1,6,12,3,4,6,6,8,12,1,2,2,3,3,6,6,12,3,6,6,1],[1,1,3,
3,1,3,3,6,6,1,3,3,6,6,3,4,1],[1,1,3,15,12,1,4,3,9,16,6,12,8,24,12,36,24,1,3,3,
4,4,12,12,6,6,8,12,24,12,24,24,3,6,4,6,12,1],[1,3,1,3,1,3,3,3,3,6,1,1,1,2,3,3,
3,3,6,6,6,3,3,3,6,1],[1,1,3,3,1,3,3,12,1,6,6,6,3,1],[1,7,6,6,7,3,3,4,4,6,12,1,
1,1,2,3,3,3,3,6,6,6,3,3,3,6,1],[1,7,12,7,3,3,6,8,12,1,1,1,2,3,3,3,3,6,6,6,3,3,
3,6,1],[1,1,6,12,3,4,6,6,8,12,1,2,2,3,3,6,6,6,6,3,6,6,1],[1,3,1,3,6,6,12,1,3,
3,3,3,4,4,6,6,6,6,6,8,12,12,12,12,12,12,24,1,1,1,2,3,3,3,3,6,6,6,6,6,12,12,12,
12,12,24,24,3,3,3,4,6,12,1],[1,1,6,4,3,4,2,2,4,8,1,1,1,4,4,1,2,1],[1,1,6,4,8,
3,4,2,2,4,4,4,8,8,1,1,1,2,2,2,2,2,2,4,4,4,4,4,1,2,2,2,4,4,1],[1,4,1,6,4,4,6,3,
4,4,2,2,6,4,12,4,1,1,1,4,4,2,6,4,4,4,1,1,1,2,2,1],[1,1,10,4,4,2,3,8,2,2,2,4,4,
12,4,4,1,1,1,4,2,2,4,4,4,4,4,1,1,1,2,2,1],[1,1,3,3,1,3,3,2,2,4,4,1,1,1,2,2,2,
2,4,4,1,2,2,2,1],[1,1,6,4,3,4,2,2,8,4,1,1,1,4,4,1,2,1],[1,1,7,3,4,8,7,3,3,4,2,
2,6,4,4,12,4,8,8,1,1,1,1,1,6,6,2,2,2,2,2,4,4,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,1,
3,3,16,1,3,3,2,2,8,8,8,16,16,1,1,1,4,4,2,2,4,8,8,8,8,2,1,2,2,4,4,1],[1,1,6,4,
3,4,2,2,4,8,1,1,1,4,4,1,2,1],[1,1,3,3,4,4,1,3,3,2,2,4,4,4,8,4,8,1,1,1,4,2,2,4,
4,4,4,1,2,4,1],[1,1,3,7,4,4,4,1,3,5,4,2,2,2,2,2,4,4,4,4,4,4,8,4,8,1,1,1,1,1,1,
1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,4,4,1],[1,1,6,4,3,4,2,2,4,8,1,1,1,
4,4,1,2,1],[1,1,3,7,4,8,1,3,5,4,2,4,4,4,4,4,8,4,4,8,8,1,1,1,2,2,2,2,2,2,2,2,4,
4,4,4,4,4,4,4,1,1,1,2,2,4,4,1],[1,3,3,5,4,1,1,5,3,3,4,2,2,2,2,2,4,4,4,4,1,1,1,
1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,3,3,5,4,4,4,8,1,1,5,3,3,
4,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,16,16,1,1,1,1,1,2,2,2,2,2,2,2,2,
2,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,16,16,1,1,1,2,2,2,2,4,4,4,8,1],[1,1,3,7,
4,1,3,5,4,2,4,4,4,8,8,1,1,1,2,2,4,4,4,4,4,1,2,2,2,1],[1,1,3,7,4,1,3,5,4,2,4,4,
4,4,8,4,1,1,1,2,2,2,2,4,4,4,4,1,1,1,2,2,1],[1,1,3,3,4,4,1,3,3,2,2,4,4,4,4,4,4,
8,1,1,1,2,2,2,2,4,4,4,4,4,4,8,1,2,4,4,4,1],[1,1,3,3,1,3,3,2,2,8,1,1,1,2,2,4,4,
4,1,2,4,1],[1,1,6,4,8,3,4,2,2,4,4,4,8,8,1,1,1,2,2,2,2,2,2,4,4,4,4,4,1,2,2,2,4,
4,1],[1,5,3,11,12,1,2,7,10,5,8,8,12,6,8,8,16,28,20,16,2,1,1,2,1,4,8,4,4,4,4,2,
6,8,8,12,8,8,16,4,16,8,16,8,1,2,1,1,4,2,8,4,4,4,1],[1,1,3,3,4,4,1,3,3,2,2,4,4,
4,4,8,8,1,1,1,2,2,4,4,4,4,4,1,2,2,2,1],[1,1,10,4,4,2,3,8,2,2,2,4,12,4,4,4,1,1,
1,4,2,2,4,4,4,4,4,1,1,1,2,2,1],[1,4,1,6,4,4,6,3,4,4,2,2,6,12,4,4,1,1,1,4,4,6,
2,4,4,4,1,1,1,2,2,1],[1,1,7,3,4,4,4,7,3,3,4,2,6,2,4,4,4,12,4,4,8,1,1,1,1,1,6,
6,2,2,2,2,2,4,4,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,3,4,12,1,3,3,6,6,12,1,3,3,6,6,6,
6,1,3,3,1],[1,3,3,9,16,1,1,3,3,3,6,4,12,12,12,20,24,18,18,18,1,2,3,3,3,3,1,3,
1,3,3,3,3,3,6,6,15,6,9,15,6,9,24,24,1,3,3,3,6,3,3,6,3,1],[1,3,4,6,6,1,3,6,3,2,
2,6,6,6,12,1,3,3,6,6,6,6,1,3,3,1],[1,7,6,6,7,3,3,2,2,6,6,6,12,1,3,3,6,6,6,6,1,
3,3,1],[1,7,12,7,3,3,6,12,1,3,3,6,6,6,6,1,3,3,1],[1,1,6,6,6,3,3,3,4,4,3,3,4,
12,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1],[1,1,6,6,6,3,3,3,4,4,3,3,4,12,1,
1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1],[1,1,6,4,3,4,2,2,4,8,1,1,1,4,4,1,2,
1],[1,1,1,1,4,4,4,1,2,3,1,2,2,2,2,4,4,4,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,1,1,1,2,2,2,2,2,2,1],[1,1,2,4,4,4,4,1,2,4,2,2,4,2,4,2,8,8,1,1,1,1,2,1,1,1,
2,2,2,2,2,2,2,2,2,2,2,4,1,1,1,2,2,2,2,2,2,1],[1,1,2,4,4,1,2,2,2,4,4,1,1,1,4,4,
1,2,1],[1,1,2,4,4,1,2,2,2,4,4,8,1,1,1,4,4,1,2,1],[1,1,1,1,4,2,6,8,1,2,3,2,2,1,
2,4,2,4,2,2,2,2,4,4,4,8,8,8,1,1,1,1,1,1,2,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,
1,1,1,2,2,2,2,2,2,1],[1,2,1,4,8,4,1,1,1,2,4,2,2,2,2,4,2,8,6,2,4,2,2,1,1,1,2,1,
1,1,1,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,3,3,8,1,3,3,2,4,4,4,2,8,4,8,1,1,
2,2,1,2,4,2,4,2,2,2,2,1,1,1,2,2,1],[1,1,1,1,4,6,2,8,1,2,1,2,2,3,2,4,2,4,2,2,2,
2,4,4,4,8,8,8,1,1,1,1,1,2,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,2,2,
2,2,1],[1,1,6,4,4,4,3,4,2,2,2,2,2,4,4,2,4,8,1,1,1,1,1,1,1,2,2,2,2,2,2,4,2,4,2,
2,2,1,1,1,2,2,2,2,2,2,1],[1,1,6,4,3,4,2,2,4,4,4,1,1,1,2,4,2,1,1,1,1],[1,1,7,3,
4,7,3,3,4,6,2,12,2,4,1,1,1,6,1,6,1,2,2,2,2,2,1,1,1,2,2,1],[1,3,1,3,4,4,8,1,3,
3,2,1,1,2,4,4,4,4,2,4,8,8,8,8,1,1,2,1,2,1,1,1,1,4,2,4,2,2,2,2,4,2,2,4,2,8,1,1,
2,1,2,2,2,2,2,1],[1,1,3,7,4,4,4,1,3,5,4,2,2,2,4,4,4,2,4,8,2,4,4,4,8,1,1,1,1,1,
2,1,2,1,4,2,2,2,2,2,4,2,4,2,2,2,2,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,3,7,4,4,4,
1,3,5,4,2,2,2,4,4,4,4,4,4,8,4,4,8,1,1,1,1,1,2,2,2,2,4,4,2,4,2,4,2,4,4,4,4,1,1,
1,2,2,2,2,4,1],[1,1,2,4,4,8,1,2,2,2,4,4,6,2,4,4,8,4,4,1,1,1,2,4,2,4,4,4,4,4,1,
1,1,2,2,1],[1,3,3,5,4,4,4,1,1,5,3,3,4,2,2,2,2,2,2,4,4,4,4,4,4,4,2,8,1,1,1,1,1,
2,2,1,2,2,2,2,1,4,2,2,2,2,2,2,4,2,2,4,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,3,3,4,
4,1,3,3,2,4,2,2,2,4,4,1,1,1,1,2,2,2,1,1,1,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,
2,2,2,2,1],[1,1,6,4,3,4,2,2,4,8,1,1,1,2,2,4,2,1,1],[1,1,2,4,4,4,4,1,2,4,2,2,4,
2,4,2,8,8,1,1,1,1,2,1,1,1,2,2,2,2,2,2,2,2,2,2,4,2,1,1,1,2,2,2,2,2,2,1],[1,1,6,
4,8,3,4,2,2,2,4,4,2,4,4,1,1,1,2,2,4,4,4,4,4,4,1,1,1,2,2,1],[1,2,1,4,8,4,1,1,1,
2,4,2,2,2,2,4,2,8,6,2,4,2,2,1,1,1,2,1,1,1,1,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,
1],[1,1,2,4,4,8,1,2,2,2,2,4,4,4,2,4,4,1,1,1,2,2,4,4,4,4,4,4,1,1,1,2,2,1],[1,1,
10,4,4,2,3,8,2,2,2,4,12,4,4,4,1,1,1,4,2,4,4,4,2,4,4,1,1,1,2,2,1],[1,3,4,4,8,1,
2,1,3,6,4,2,8,4,8,1,1,2,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,2,2,2,2,2,2,
1],[1,1,2,4,4,1,2,2,2,4,4,1,1,1,4,4,1,2,1],[1,1,3,3,4,4,8,1,3,3,2,2,2,4,4,4,4,
4,4,4,2,8,8,8,1,1,1,1,2,2,2,2,1,2,4,4,4,4,2,2,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,1,
6,4,8,3,4,2,2,4,6,2,4,4,8,4,4,1,1,1,2,4,4,2,4,4,4,4,1,1,1,2,2,1],[1,1,3,3,1,3,
3,2,2,2,4,2,1,1,1,1,2,2,2,2,2,1,2,2,1,1,1,1],[1,1,6,4,3,4,2,2,4,8,1,1,1,4,4,1,
2,1],[1,3,4,4,8,1,3,1,6,2,4,2,8,4,8,1,1,2,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,
1,1,1,2,2,2,2,2,2,1],[1,1,3,7,4,1,3,5,4,2,4,4,4,8,4,4,1,1,1,2,2,2,4,4,2,4,4,1,
1,1,2,2,1],[1,1,2,4,8,4,1,2,2,2,4,4,2,6,4,4,4,8,4,1,1,1,2,4,2,4,4,4,4,4,1,1,1,
2,2,1],[1,3,4,2,6,4,1,3,2,6,1,4,2,4,4,4,8,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,1,1,1,2,2,2,2,2,2,1],[1,1,6,8,4,1,2,2,2,2,4,4,10,8,4,4,4,1,1,1,2,4,4,4,
2,4,4,4,1,1,1,2,2,1],[1,1,3,3,4,4,1,3,3,2,2,2,2,4,4,4,4,4,8,1,1,1,1,1,2,2,2,2,
4,2,4,2,2,1,1,1,2,2,1],[1,1,1,1,4,4,4,1,2,2,1,3,2,2,2,4,4,4,1,1,1,1,2,1,1,1,2,
2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,2,2,2,2,2,2,1],[1,3,1,3,2,2,4,1,3,3,1,2,2,1,2,2,
2,2,4,2,4,4,4,4,1,2,1,1,1,1,1,2,1,2,2,4,2,2,2,2,2,2,4,2,2,4,1,1,2,1,2,2,2,2,2,
1],[1,1,10,4,4,2,3,8,2,4,12,2,4,2,4,4,1,4,2,1,2,1,2,4,2,4,4,4,1,1,1,2,2,1],[1,
1,3,7,4,1,3,5,4,2,2,2,4,4,4,8,4,1,1,1,1,1,2,2,2,2,4,2,2,4,2,1,1,1,2,2,1],[1,1,
6,4,3,4,4,2,2,4,4,1,2,1,2,1,2,2,1,1,1,1],[1,1,6,4,3,4,2,2,4,1,1,1,4,4,1,2,1],[
1,7,4,4,4,7,2,1,1,2,2,4,8,4,8,1,2,2,1,1,1,1,1,1,2,2,2,2,2,2,4,4,2,2,1,2,1,1,2,
2,2,2,2,1],[1,1,6,8,4,3,4,2,2,4,2,6,4,4,4,8,4,1,1,1,2,4,2,4,4,4,4,4,1,1,1,2,2,
1],[1,1,3,7,4,8,1,3,5,4,2,2,4,4,4,4,4,8,4,2,8,8,1,1,1,1,2,2,2,2,1,2,4,4,4,2,4,
2,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,1,3,3,1,3,3,2,2,1,1,1,2,2,4,1,2,2,2,1],[1,1,3,
3,4,4,1,3,3,2,2,4,4,4,4,8,8,1,1,1,2,2,4,4,4,4,4,1,2,2,2,1],[1,1,3,3,4,4,1,3,3,
2,4,2,2,2,4,4,1,1,1,1,2,1,1,2,2,1,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,
1],[1,1,3,3,1,3,3,4,4,4,1,2,2,2,2,4,4,2,2,1,2,2,1],[1,1,6,4,3,4,2,2,4,4,4,1,1,
1,2,4,2,1,1,1,1],[1,1,10,4,4,2,3,8,2,4,12,2,4,2,4,4,1,4,2,1,1,2,4,2,4,2,4,4,1,
1,1,2,2,1],[1,1,3,3,4,4,1,3,3,2,2,4,4,4,4,8,8,1,1,1,2,2,4,4,4,4,4,1,2,2,2,1],[
1,1,2,4,8,4,1,2,2,2,4,4,4,2,4,2,4,8,1,1,1,1,1,1,2,1,2,2,2,2,2,2,2,2,2,4,2,2,1,
1,1,2,2,2,2,2,2,1],[1,1,3,3,1,3,3,2,4,2,4,1,1,2,2,2,1,2,2,2,2,2,1,1,1,1],[1,1,
3,7,4,1,3,5,4,2,2,4,4,4,8,4,2,1,1,1,1,2,2,2,2,2,1,4,2,4,2,1,1,1,2,2,1],[1,3,3,
5,4,1,1,5,3,3,4,2,2,2,2,4,4,4,2,4,1,1,1,2,2,1,2,2,1,2,2,2,4,2,2,4,4,4,4,1,1,1,
2,2,2,2,4,1],[1,3,3,5,4,1,1,5,3,3,4,2,2,2,4,4,4,4,4,1,1,1,2,2,2,2,2,2,2,2,2,4,
2,1,1,1,2,2,1],[1,1,3,7,4,4,4,1,3,5,4,2,2,2,4,4,4,2,4,8,2,4,4,4,8,1,1,1,1,1,2,
1,2,1,4,2,2,2,4,2,4,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,3,3,8,4,4,1,
3,3,2,2,4,4,2,4,4,4,2,4,4,4,8,4,8,1,1,1,1,1,2,2,1,2,1,4,2,2,2,2,2,4,2,2,2,2,2,
2,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,3,3,1,3,3,2,2,1,1,1,2,2,4,1,2,2,2,1],[1,1,
3,3,8,1,3,3,4,4,4,4,8,4,8,1,2,2,2,2,2,2,4,2,4,2,2,1,1,1,4,1],[1,1,10,4,4,2,3,
8,2,2,2,4,12,4,4,4,1,1,1,4,2,4,4,4,2,4,4,1,1,1,2,2,1],[1,7,2,2,8,7,1,2,2,1,4,
2,4,4,4,8,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,2,2,2,4,1,1,1,2,2,2,2,2,2,1],[1,1,6,8,
4,1,2,2,2,2,4,4,10,8,4,4,4,1,1,1,2,4,4,4,2,4,4,4,1,1,1,2,2,1],[1,1,2,4,8,4,1,
4,2,2,2,4,4,2,4,2,4,8,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,1,1,1,2,2,2,2,2,
2,1],[1,1,6,4,8,3,4,2,2,2,4,4,2,4,4,1,1,1,2,4,2,4,4,4,4,4,1,1,1,2,2,1],[1,1,3,
7,4,1,3,5,4,2,4,4,4,4,8,4,1,1,1,2,2,2,4,4,2,4,4,1,1,1,2,2,1],[1,1,6,4,3,4,4,2,
2,4,4,1,2,1,1,2,2,2,1,1,1,1],[1,3,3,5,4,1,1,5,3,3,4,2,2,2,2,2,2,4,4,4,2,1,1,1,
1,1,2,2,1,2,2,2,2,1,2,4,2,1,1,1,1,1,1,1,1],[1,1,2,4,4,1,2,2,2,4,4,8,1,1,1,4,4,
1,2,1],[1,1,3,3,8,4,4,1,1,1,2,2,2,8,2,2,4,4,2,2,2,4,6,2,4,4,4,8,1,1,1,1,1,1,1,
1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,3,4,6,2,4,1,
1,2,6,3,4,2,4,4,4,8,1,1,1,1,1,1,2,1,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,2,2,2,2,2,
2,1],[1,1,2,4,4,8,1,2,2,2,2,4,4,4,2,4,4,1,1,1,2,2,4,4,4,4,4,4,1,1,1,2,2,1],[1,
1,3,3,4,8,4,1,3,3,4,2,2,4,2,4,4,4,2,4,4,4,8,4,8,1,1,1,1,1,2,2,1,1,2,4,2,2,2,2,
2,4,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,4,1,6,4,4,6,3,4,4,6,12,2,2,4,
4,1,4,4,1,6,1,2,2,2,4,4,1,1,1,2,2,1],[1,3,3,5,4,8,1,1,5,3,3,4,2,2,2,4,4,4,4,4,
4,8,4,8,1,1,1,2,2,2,2,2,2,2,4,2,4,2,4,2,4,4,4,4,1,1,1,2,2,2,2,2,2,1],[1,1,10,
4,4,2,3,8,2,4,4,12,2,4,2,4,1,4,2,2,1,1,2,4,2,4,4,4,1,1,1,2,2,1],[1,1,3,3,8,4,
4,1,1,1,2,2,2,2,8,2,4,4,2,2,2,4,6,2,4,4,4,8,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,
2,2,2,4,2,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,6,4,3,4,2,2,4,4,4,1,1,2,1,2,2,
2,1,1,1,1],[1,1,6,4,3,4,2,2,4,1,1,1,4,4,1,2,1],[1,1,4,2,2,2,8,1,1,2,1,2,2,1,1,
2,4,2,4,4,2,4,2,4,4,4,1,1,1,1,2,2,1,2,2,2,2,2,2,4,2,4,1,1,1,1,1,1,1,1],[1,1,4,
2,2,2,1,1,2,1,2,2,1,1,2,2,4,2,2,1,1,1,1,1,1,1,1,2,1,2,2,2,2,1,1,1,1,1,1,1,1],[
1,2,1,2,2,2,2,1,1,2,2,1,4,2,1,1,2,2,2,2,1,1,1,1,1,2,1,1,1,2,1,2,2,2,1,1,1,1,1,
1,1,1],[1,1,1,7,6,1,1,1,3,2,1,3,2,2,5,6,8,4,2,2,1,1,1,1,1,1,1,1,2,2,2,1,1,2,2,
1,2,2,2,1,1,1,1,1,1,1,1],[1,3,2,2,4,1,1,2,1,2,4,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[
1,1,10,4,2,2,4,2,3,8,2,1,4,12,1,1,4,2,2,1,4,2,2,4,2,2,4,4,1,4,2,1,1,2,1,1,1,1,
1,4,1,4,2,2,2,2,2,2,2,2,2,2,2,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,6,2,4,6,2,1,2,3,
1,4,3,3,4,4,4,8,1,1,1,1,1,1,1,2,1,1,1,1,2,1,1,2,1,1,1,2,1,1,1,1,1,2,1,2,1,2,1,
1,1,1,1,1,1,1,1,1,1,1,1,1],[1,2,1,2,2,4,8,4,1,1,2,2,1,4,3,2,6,2,2,4,1,2,8,4,4,
2,4,4,4,4,1,1,1,2,1,1,2,1,4,1,1,2,2,3,2,2,4,4,2,4,2,2,2,4,1,1,1,1,1,1,1,2,2,2,
2,1],[1,2,1,4,8,2,2,4,1,1,1,2,4,2,2,4,1,8,6,2,1,1,2,2,2,1,2,2,2,2,4,4,4,4,1,2,
1,1,1,1,1,1,1,2,1,1,2,1,2,2,2,4,2,2,2,2,2,2,2,2,2,2,4,1,1,1,1,1,1,1,2,2,2,2,
1],[1,1,1,1,4,2,2,4,1,2,1,2,1,2,2,2,2,2,2,8,8,4,4,1,1,1,2,2,2,4,4,2,2,2,2,2,1,
1,1,4,1],[1,2,1,4,8,2,2,4,1,1,1,2,4,2,2,4,1,8,6,2,1,1,2,2,2,1,4,2,2,4,2,2,4,4,
1,2,1,1,1,1,2,2,1,1,1,1,1,2,2,1,4,2,2,2,2,2,2,2,2,2,2,2,4,1,1,1,1,1,1,1,2,2,2,
2,1],[1,2,3,4,6,4,1,2,1,1,4,1,2,3,2,1,2,3,4,2,4,8,2,2,2,1,2,1,1,1,1,2,2,2,2,1,
2,2,1,2,4,2,2,1,1,1,1,1,1,1,1],[1,3,4,2,2,8,1,1,2,2,6,1,4,2,4,4,4,4,4,1,1,1,1,
1,1,1,1,1,1,1,1,1,2,1,2,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1],[1,1,4,2,4,8,4,1,1,2,1,4,1,2,6,2,2,2,4,3,4,2,8,4,4,4,2,4,4,1,1,1,2,
1,2,3,1,1,2,4,1,1,2,2,2,2,4,2,4,4,2,2,4,1,1,1,1,1,1,2,1,2,2,2,1],[1,1,4,2,2,2,
8,1,1,2,1,2,1,1,2,4,2,2,4,4,2,4,2,4,4,4,1,1,1,1,2,2,1,2,2,4,2,2,2,2,2,4,1,1,1,
1,1,1,1,1],[1,1,3,3,8,2,2,4,1,1,1,2,2,1,1,1,8,1,2,4,4,2,2,2,6,2,2,2,4,4,2,2,4,
4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,1,1,1,1,1,1,1,1,1,1,2,1,1,4,4,4,4,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,3,1,2,4,2,10,1,1,2,1,2,1,1,2,2,5,2,2,1,4,4,4,
4,2,4,4,2,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,1,1,1,1,1,2,1,1,1,1,1,1,1,1,
1,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,3,1,2,4,6,6,1,1,2,3,1,1,2,4,3,
2,2,3,2,4,2,4,4,4,4,2,8,4,4,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,2,1,1,1,1,
2,2,1,1,2,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,4,2,4,4,1,1,2,1,3,2,4,
2,2,1,2,4,2,1,1,1,1,2,2,2,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,2,2,4,3,4,5,1,
1,2,2,1,2,2,2,2,1,2,1,1,2,1,1,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,12,4,1,2,
4,4,4,2,6,4,4,8,4,4,1,1,1,2,2,4,2,4,4,2,4,4,1,1,1,2,2,1],[1,1,4,2,2,2,1,1,2,1,
4,2,1,1,2,2,2,2,2,1,1,1,1,1,1,1,2,1,2,1,2,2,2,1,1,1,1,1,1,1,1],[1,1,1,1,6,10,
4,1,3,1,2,4,2,2,2,2,6,2,4,6,6,4,4,4,8,4,1,1,1,2,2,1,2,1,2,2,2,2,2,4,2,2,2,4,4,
4,4,4,1,1,1,2,2,2,2,4,1],[1,1,1,1,10,6,4,1,1,3,2,4,2,2,2,2,6,2,4,4,6,6,4,4,8,
4,1,1,1,2,2,1,2,2,1,2,4,2,2,2,2,4,2,2,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,3,1,3,6,6,
4,1,3,3,1,1,2,2,2,2,2,2,2,6,2,2,2,4,6,6,4,4,4,4,1,1,1,2,2,1,2,2,2,2,1,1,2,2,2,
1,2,2,2,2,2,2,2,2,2,4,2,2,1,1,2,1,1,1,1,1,2,2,2,1],[1,3,4,2,2,1,1,6,1,2,4,4,4,
1,1,1,2,2,2,2,1,1,1,1],[1,3,2,6,1,3,1,4,6,4,4,1,1,2,1,2,2,2,1,1,1,1],[1,3,6,6,
4,1,1,3,1,2,3,3,2,3,6,2,12,2,4,2,1,3,3,1,1,2,2,3,1,6,2,2,2,2,1,1,1,1,1,1,1,
1],[1,1,3,1,2,2,6,1,1,2,1,2,3,1,2,3,2,2,3,2,2,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,2,
1,1,1,1,1,1,1,1,2,1,2,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,6,2,2,4,3,4,
1,1,1,2,2,5,2,2,2,2,1,2,1,1,1,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,2,2,
4,1,2,3,4,1,1,2,2,3,2,2,2,2,1,1,1,1,1,2,1,1,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,
1,3,3,2,2,4,1,3,3,1,1,1,1,2,6,2,2,2,2,1,1,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,1,1,4,2,2,4,1,2,1,
2,2,2,1,2,2,4,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,1,1,1,2,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,2,1,2,2,2,2,1,1,2,2,1,2,2,1,1,2,4,
2,2,1,1,1,1,1,1,1,1,2,2,1,2,2,2,1,1,1,1,1,1,1,1],[1,1,1,3,2,2,4,2,1,1,2,4,1,1,
1,2,2,1,2,3,2,2,2,1,1,1,2,1,1,1,1,1,1,2,1,1,1,1,2,1,1,2,1,3,1,1,1,1,2,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,3,1,2,2,6,1,1,2,3,2,1,1,2,3,2,2,3,2,2,1,1,1,
1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,2,1,1,2,1,2,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1],[1,1,2,4,2,2,4,1,2,3,4,1,1,2,2,3,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,2,2,2,
2,1,1,1,1,1,1,1,1],[1,1,1,3,2,8,2,6,1,1,1,1,2,1,4,4,2,2,3,4,2,1,2,4,6,4,6,8,8,
1,1,1,1,1,1,1,1,2,1,1,1,1,2,3,1,1,1,2,1,1,1,2,2,1,1,1,1,4,4,4,4,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1],[1,2,1,2,2,8,4,4,1,1,2,2,1,4,1,2,2,6,2,4,3,2,4,8,4,2,4,4,4,
4,1,1,1,2,1,4,2,1,1,3,1,2,2,1,2,2,2,4,4,2,2,2,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,
2,1,2,2,2,2,8,1,1,2,2,1,2,1,1,4,2,2,4,2,2,4,4,4,4,4,1,1,1,1,2,1,2,2,2,2,2,2,2,
4,2,4,1,1,1,1,1,1,1,1],[1,1,2,8,1,2,4,4,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,4,1,6,
4,2,2,4,6,3,4,4,6,1,12,1,1,2,2,1,2,2,2,2,4,4,4,4,1,4,4,6,1,1,1,1,1,1,1,2,1,2,
2,2,2,2,2,2,2,2,2,2,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,4,2,8,4,4,1,1,2,1,4,3,2,2,
6,2,2,4,1,4,2,4,8,4,4,2,4,4,1,1,1,2,1,4,2,1,1,3,2,2,1,1,2,2,2,2,4,2,4,2,4,4,1,
1,1,1,2,1,1,1,2,2,2,1],[1,3,2,2,2,4,6,1,1,2,4,1,1,1,3,4,1,4,4,4,4,4,1,1,1,1,1,
2,1,1,1,1,1,1,1,2,1,2,1,2,3,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1],[1,3,2,2,2,8,2,1,1,4,2,1,1,1,4,1,4,4,3,4,4,4,1,1,1,1,1,1,1,1,1,2,1,2,1,1,1,
1,2,2,1,1,1,1,1,1,2,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,6,4,2,6,1,2,1,
3,2,4,3,3,4,4,8,4,1,1,1,1,1,1,1,1,1,1,1,2,1,1,2,1,1,1,1,1,2,1,2,2,1,2,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,2,1,1],[1,3,2,2,2,4,6,1,1,2,1,1,1,3,4,4,5,4,4,4,4,1,1,1,
1,1,1,1,1,1,1,2,1,1,1,1,1,2,1,1,1,1,2,1,1,1,1,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1],[1,3,1,5,6,1,3,1,2,1,4,2,1,1,2,3,8,6,2,2,2,2,1,1,1,1,1,1,2,1,2,1,3,2,
2,1,1,2,2,2,1,1,1,1,1,1,1,1],[1,1,1,1,2,2,1,1,2,1,2,2,2,2,2,4,1,1,1,2,2,1,1,2,
2,2,2,2,1,1,1,1],[1,3,6,6,4,1,1,3,1,3,2,3,2,2,3,6,4,12,2,2,1,3,1,3,1,2,2,2,3,
2,1,2,6,2,1,1,1,1,1,1,1,1],[1,3,4,4,1,1,1,6,2,4,1,1,1,2,2,2,2,1,1,1,1],[1,1,1,
1,6,6,1,1,2,1,2,2,2,2,6,2,2,6,6,4,4,1,1,1,2,2,1,2,2,1,2,2,2,2,2,2,2,1,1,1,2,2,
1],[1,1,1,3,2,4,2,10,1,1,1,1,1,2,2,2,2,5,4,2,3,4,4,4,4,4,2,2,4,4,8,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,2,1,1,2,1,2,1,1,1,2,4,4,4,4,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1],[1,1,1,7,6,4,4,1,1,1,3,1,2,3,2,2,5,6,8,2,4,4,4,4,2,4,8,1,1,1,1,1,
1,1,1,2,2,2,2,2,1,1,2,2,1,2,4,2,4,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,
1,1,4,4,1,1,1,2,2,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,3,1,5,6,4,4,1,3,1,2,1,4,1,2,
1,2,3,8,6,2,4,2,2,4,4,2,4,8,1,1,1,1,1,1,2,2,1,2,2,1,3,2,2,1,1,2,2,4,2,4,2,2,2,
2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,1,3,2,2,4,10,1,1,2,1,1,1,2,2,2,5,4,2,3,4,
4,4,2,4,4,4,2,4,8,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,2,1,2,1,1,2,1,1,2,1,
4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,4,12,1,4,2,4,4,6,2,4,8,4,4,4,
1,1,1,2,2,4,2,2,4,4,4,4,1,1,1,2,2,1],[1,1,2,4,8,4,1,2,4,2,6,2,2,4,4,8,4,4,4,1,
1,1,2,2,4,2,2,4,4,4,4,1,1,1,2,2,1],[1,2,1,4,8,4,1,1,1,2,4,2,2,4,8,6,2,2,2,2,4,
4,1,2,1,1,1,1,2,2,2,2,2,2,4,2,2,2,2,1,1,1,1,1,1,1,1],[1,2,1,2,2,4,4,1,1,2,2,1,
3,2,4,2,1,2,4,2,1,1,1,1,2,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,1,3,2,4,2,2,
1,1,1,1,4,1,2,2,2,1,2,3,2,2,2,1,1,1,2,1,1,1,1,1,1,1,1,3,2,1,1,1,1,1,1,1,2,2,1,
1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,7,4,7,1,1,2,4,1,1,1,2,2,2,2,1,1,1,
1],[1,2,3,4,6,4,1,2,1,1,4,1,2,2,3,1,2,2,3,4,2,2,8,4,2,1,2,1,1,1,1,2,2,2,1,2,1,
4,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,3,1,2,4,2,2,1,1,2,1,2,1,1,2,1,2,2,5,2,2,2,1,
1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,2,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1],[1,2,1,2,2,4,4,1,1,2,2,1,1,2,4,2,3,2,4,2,1,1,1,1,2,2,2,1,2,2,2,
2,2,2,1,1,1,1,1,1,1,1],[1,3,1,3,1,3,3,1,1,2,1,1,1,2,2,2,2,1,1,1,1],[1,1,2,12,
1,2,2,4,2,4,4,1,1,1,2,2,2,4,2,1,1,1,2,2,1],[1,3,6,6,4,1,1,3,1,2,3,3,2,2,3,6,2,
12,4,2,1,3,1,3,1,2,3,1,2,2,6,2,2,2,1,1,1,1,1,1,1,1],[1,1,1,3,2,2,6,1,1,1,1,2,
1,2,2,2,3,2,5,2,2,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,2,1,1,1,2,1,2,1,1,2,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,1,1,2,6,4,1,3,1,4,2,2,2,2,2,4,4,4,8,4,1,
1,1,2,1,1,2,2,4,2,2,2,2,4,1,1,1,2,2,1],[1,1,1,1,2,2,1,1,2,1,2,2,2,2,2,4,1,1,1,
2,1,2,1,2,2,2,2,2,1,1,1,1],[1,1,1,3,2,2,8,6,1,1,4,2,1,1,1,4,2,2,3,4,2,1,2,4,4,
6,6,8,8,1,1,1,1,1,1,1,1,2,1,1,2,2,1,1,1,2,2,1,1,1,1,1,1,1,1,3,1,4,4,4,4,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,3,1,2,2,4,2,1,1,2,2,1,2,1,1,1,2,2,5,2,2,2,1,1,
1,1,1,1,1,1,1,1,1,1,2,1,3,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1],[1,3,2,2,4,2,6,1,1,1,1,1,2,3,4,4,5,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,2,1,1,1,1,2,1,1,1,1,1,2,1,2,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,2,3,
4,6,4,1,2,1,1,4,1,2,2,3,1,2,3,4,2,2,8,2,4,2,1,2,1,1,1,1,2,2,1,2,1,2,4,2,2,2,2,
2,1,1,1,1,1,1,1,1],[1,1,1,1,1,3,1,2,4,1,1,1,2,2,2,2,1,1,1,1],[1,2,1,2,2,2,2,8,
1,1,2,2,1,2,2,1,1,4,2,4,2,2,4,4,4,4,4,1,1,1,1,2,1,2,2,2,2,4,2,2,2,2,4,1,1,1,1,
1,1,1,1],[1,3,4,1,3,3,2,2,3,1,1,2,2,2,1,1,1,1],[1,1,2,4,8,1,2,4,4,4,4,1,1,2,1,
2,2,4,2,1,1,1,2,2,1],[1,1,3,1,2,6,4,6,1,1,2,2,1,1,3,4,3,2,2,3,2,4,4,2,4,4,2,4,
8,4,4,1,1,1,1,1,1,1,1,1,1,2,2,1,1,1,1,1,1,2,1,2,1,1,1,2,1,1,1,1,1,4,4,4,4,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,3,1,2,2,4,10,1,1,2,2,1,2,1,1,2,5,2,2,1,4,4,
4,2,4,4,4,4,2,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,2,
1,2,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,7,3,4,2,2,4,7,3,3,4,1,1,1,6,
1,2,12,2,2,2,4,4,2,2,4,4,1,1,1,6,6,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,2,1,2,
1,1,2,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,3,4,1,2,3,3,2,1,3,1,2,2,2,1,1,1,
1],[1,1,1,7,6,4,4,1,1,1,3,2,1,3,2,5,6,8,2,4,4,2,4,2,4,4,8,1,1,1,1,1,1,1,1,2,2,
2,2,2,1,1,2,2,1,4,2,2,2,2,2,2,2,4,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,3,6,6,4,1,3,
2,3,2,2,2,4,6,6,12,4,1,3,1,2,2,6,6,2,4,4,1,1,1,2,2,1],[1,3,6,10,1,5,3,2,4,2,2,
6,6,12,4,1,3,1,2,2,2,6,6,4,4,1,1,1,2,2,1],[1,1,1,7,6,1,1,1,3,2,1,3,2,5,6,8,4,
2,2,2,1,1,1,1,1,1,1,1,2,2,1,1,2,2,2,1,2,2,2,1,1,1,1,1,1,1,1],[1,1,4,2,4,4,1,1,
2,1,1,2,4,2,2,3,2,4,2,1,1,1,1,2,2,2,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,6,6,4,
1,3,2,3,2,2,2,4,6,6,12,4,1,3,1,2,2,2,6,6,4,4,1,1,1,2,2,1],[1,1,1,1,4,4,4,8,1,
2,2,1,1,2,2,2,2,4,2,2,2,2,4,4,4,2,2,2,2,4,8,8,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,2,1,2,1,2,1,1,1,1,1,1,1,1,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,3,
4,1,3,5,2,1,3,1,2,2,2,1,1,1,1],[1,3,3,5,4,2,2,4,1,1,5,3,3,4,2,1,1,1,2,1,2,2,4,
4,2,2,4,2,2,2,4,4,4,4,1,1,1,2,2,1,1,1,2,2,1,2,1,2,1,2,1,1,1,1,1,2,1,4,2,1,1,1,
1,1,1,2,1,1,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,3,2,2,4,2,6,1,1,1,1,4,1,2,3,
4,1,4,4,4,4,4,1,1,1,1,1,2,1,1,1,1,1,1,1,2,1,1,2,1,1,2,1,2,1,1,1,1,3,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1],[1,3,6,6,4,1,1,3,1,2,3,3,2,3,6,4,12,2,2,2,1,3,3,1,1,
2,2,3,2,2,1,2,6,2,1,1,1,1,1,1,1,1],[1,1,2,4,8,1,4,2,4,4,4,1,1,2,1,2,2,2,4,1,1,
1,2,2,1],[1,1,3,3,2,2,12,1,3,3,1,1,1,1,4,6,4,2,4,4,4,2,8,2,8,2,2,4,1,1,1,1,1,
2,2,1,2,4,1,1,1,1,1,1,1,1,1,1,2,4,1,1,1,1,1,1,1,1,1,1,1,4,4,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1],[1,3,2,2,2,10,1,1,2,1,1,1,5,4,3,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,
1,2,1,1,1,2,2,1,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,
2,8,1,4,2,4,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,1,2,4,4,1,2,2,4,2,4,4,4,1,1,1,2,2,
2,2,1,1,1,1],[1,1,2,4,1,2,2,2,2,2,1,1,1,2,2,2,2,1,1,1,1],[1,2,3,4,6,4,1,2,1,1,
4,1,2,2,3,1,2,2,3,4,2,4,8,2,2,1,2,1,1,1,1,2,1,2,2,2,2,2,1,4,2,2,2,1,1,1,1,1,1,
1,1],[1,1,3,3,8,2,2,4,1,1,1,2,2,1,1,1,8,1,2,4,4,2,2,2,2,2,6,2,2,2,8,8,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,2,1,2,2,1,1,1,1,1,1,1,1,4,4,4,4,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1],[1,1,2,4,2,2,8,1,1,1,1,2,1,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,1,1,
2,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1],[1,3,1,3,8,1,3,3,1,1,4,2,4,4,4,1,1,1,2,2,2,2,2,4,4,2,1,2,1,1,2,1],[1,3,2,2,
8,2,2,1,1,1,1,2,1,4,4,1,4,4,3,4,4,4,1,1,1,1,1,1,1,1,2,1,2,1,1,1,1,2,1,1,2,1,2,
1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,7,2,2,7,1,1,2,4,4,4,1,1,1,2,
2,2,2,1,1,1,1],[1,1,1,1,6,6,1,1,2,1,2,2,2,2,6,2,2,6,6,4,4,1,1,1,2,2,1,2,1,2,2,
2,2,2,2,2,2,1,1,1,2,2,1],[1,1,2,4,1,4,2,2,2,1,1,2,1,2,2,2,1,1,1,1],[1,1,1,1,6,
2,4,1,1,3,4,2,2,2,2,2,4,4,4,8,4,1,1,1,2,2,1,1,2,2,4,2,4,2,2,1,1,1,2,2,1],[1,3,
4,8,1,2,1,1,4,2,8,1,2,1,1,2,2,2,2,2,1,1,1,2,2,1],[1,1,2,4,4,1,2,2,4,2,4,4,4,1,
1,1,2,2,2,2,1,1,1,1],[1,1,2,4,2,2,8,1,1,1,1,2,1,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,
1,1,1,2,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1],[1,1,1,1,8,1,1,3,4,2,4,4,1,1,1,2,2,2,2,2,2,1,1,1,2,2,1],[1,1,1,1,8,1,3,1,
4,2,4,4,1,1,1,2,2,2,2,2,2,1,1,1,2,2,1],[1,3,4,4,4,4,1,2,1,1,6,2,2,4,4,8,4,4,1,
1,1,1,1,1,1,1,1,1,1,2,1,2,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1],[1,1,1,1,4,6,6,4,1,2,1,2,1,2,2,2,2,2,2,2,2,6,2,2,2,6,6,4,8,8,
1,1,1,2,2,1,2,2,1,2,1,2,2,2,2,1,2,4,2,2,2,2,4,2,2,2,2,1,2,1,1,2,2,2,2,2,1],[1,
1,2,12,1,2,2,4,2,4,4,1,1,1,2,2,2,2,4,1,1,1,2,2,1],[1,3,6,2,1,1,3,4,6,4,4,1,1,
2,1,2,2,2,1,1,1,1],[1,1,6,8,4,1,2,2,4,4,2,10,8,2,4,2,2,4,1,1,1,1,1,2,2,4,2,4,
2,4,2,2,2,1,1,1,1,1,1,1,1],[1,1,1,1,4,12,1,1,1,2,4,2,4,4,4,4,1,1,1,2,2,2,2,2,
2,1,1,1,2,2,1],[1,3,4,1,5,3,2,1,1,3,2,2,2,1,1,1,1],[1,1,3,3,8,1,1,1,2,2,8,2,4,
2,4,2,2,6,2,4,1,1,1,1,1,1,1,1,1,2,4,2,4,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,8,4,4,1,
2,4,2,2,6,2,4,4,4,8,4,4,1,1,1,2,4,2,2,4,4,2,4,4,1,1,1,2,2,1],[1,3,2,2,4,1,1,2,
1,2,4,4,4,4,1,1,2,1,2,2,2,1,1,1,1],[1,3,10,6,1,3,5,2,4,2,2,6,6,12,4,1,3,1,2,2,
6,6,2,4,4,1,1,1,2,2,1],[1,3,2,2,2,10,1,1,1,1,2,1,5,4,3,4,4,4,4,4,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,2,2,1,1,1,1,2,1,1,1,2,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1],[1,3,1,3,2,2,4,1,3,3,1,1,2,2,2,2,2,4,4,4,4,4,4,1,1,1,2,2,2,2,2,2,2,2,4,2,2,
1,1,1,2,2,1],[1,3,4,8,1,1,1,2,4,2,8,2,1,1,1,2,2,2,2,2,1,1,1,2,2,1],[1,1,2,4,1,
2,2,2,2,2,1,1,1,2,2,2,2,1,1,1,1],[1,1,1,1,4,8,1,2,1,1,2,2,4,2,4,4,4,1,1,1,2,2,
2,2,2,4,2,4,1,1,2,1,2,1],[1,1,1,1,4,12,1,2,1,1,4,2,4,4,4,4,1,1,1,2,2,2,2,2,2,
1,1,1,2,2,1],[1,3,1,5,6,4,4,1,3,1,2,1,4,2,1,1,2,2,3,8,6,2,4,2,4,2,4,4,8,1,1,1,
1,1,1,2,1,2,1,2,3,2,1,2,2,1,4,2,2,2,2,2,2,4,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,
1,1,1,4,1,2,1,1,2,2,2,1,1,1,2,2,2,2,1,1,1,1],[1,1,1,1,4,4,1,2,1,1,2,4,4,4,1,1,
1,2,2,2,2,1,1,1,1],[1,1,1,1,1,1,3,2,4,1,1,1,2,2,2,2,1,1,1,1],[1,1,1,3,2,2,6,1,
1,2,1,1,1,2,2,2,3,2,5,2,2,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,2,2,1,1,2,2,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,4,1,2,4,2,2,1,1,2,1,2,2,2,1,1,
1,1],[1,3,12,1,1,3,6,8,1,2,1,1,2,2,2,2,2,1,1,1,2,2,1],[1,3,12,1,3,1,6,8,1,1,2,
1,2,2,2,2,2,1,1,1,2,2,1],[1,3,1,5,6,1,3,1,2,1,4,2,1,1,2,2,3,8,6,2,2,2,1,1,1,1,
1,1,2,1,1,3,2,2,2,1,1,2,2,2,1,1,1,1,1,1,1,1],[1,3,3,7,6,1,1,1,2,2,3,3,2,2,3,3,
6,2,6,6,2,2,3,2,1,1,3,2,3,1,1,2,2,2,6,2,1,1,1,1,1,1,1,1],[1,2,1,7,3,6,1,2,1,1,
2,2,2,1,1,2,2,3,3,2,2,2,4,4,6,2,2,1,2,1,1,1,2,1,1,2,2,1,2,2,2,2,2,2,4,1,1,1,1,
1,1,1,1],[1,4,1,6,4,2,2,4,1,3,6,1,3,3,1,3,2,9,3,1,1,2,3,1,2,2,2,2,2,2,2,2,4,4,
1,1,3,1,1,3,1,1,1,1,1,3,3,1,1,1,1,1,1,1,1,1,2,2,1,2,1,1,1,1,1,1,1,1,2,2,2,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,2,1,4,8,2,2,4,1,1,1,1,5,2,4,4,1,5,2,5,3,1,1,2,
3,1,2,2,2,2,2,2,2,2,4,4,1,1,1,1,3,1,1,1,1,1,1,2,1,1,1,1,1,1,2,1,1,1,1,1,2,2,1,
2,1,1,1,1,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,3,7,3,6,1,2,1,1,
2,2,3,3,2,3,3,6,2,6,6,2,2,1,3,2,1,3,3,1,2,1,2,2,6,2,2,1,1,1,1,1,1,1,1],[1,2,1,
3,7,6,1,1,1,2,2,2,2,2,1,1,2,3,3,2,2,2,4,4,6,2,2,1,1,1,2,1,2,1,1,2,2,1,2,2,2,2,
2,4,2,1,1,1,1,1,1,1,1],[1,3,6,6,16,1,1,3,1,3,3,2,3,6,12,3,3,3,6,4,4,4,8,1,1],[
1,3,16,1,3,3,3,4,1,1],[1,3,6,6,16,1,3,3,2,2,6,6,12,3,6,6,4,8,8,1,1],[1,3,3,3,
6,16,1,1,1,3,3,2,3,3,6,6,6,3,3,3,6,4,4,4,8,1,1],[1,1,7,3,4,4,7,3,3,4,6,12,4,4,
4,1,1,1,6,6,1,4,1,1,1,1,1],[1,6,1,6,6,4,1,3,3,3,3,6,3,3,6,4,4,4,1,3,3,3,3,3,3,
1,4,3,1,1,1,1],[1,1,3,3,6,6,4,1,3,3,3,3,3,3,6,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,
1,1],[1,1,3,3,6,6,4,1,3,3,3,3,3,3,6,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,7,
12,4,7,3,3,6,12,4,4,4,1,3,3,6,6,1,4,3,1,1,1,1],[1,4,1,6,4,4,6,3,4,4,6,12,4,4,
4,1,4,4,6,1,4,1,1,1,1,1],[1,3,4,6,6,4,1,3,3,6,3,3,12,4,4,4,1,3,3,3,3,3,3,1,4,
3,1,1,1,1],[1,3,3,1,6,6,4,3,1,3,3,3,3,3,6,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,
1],[1,3,1,3,6,6,4,1,3,3,3,3,3,6,3,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,3,
3,6,6,4,1,3,3,3,3,3,3,6,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,4,1,6,4,4,1,3,
6,1,3,3,3,9,3,3,4,4,4,1,1,3,1,3,3,3,1,4,1,1,1,1,1],[1,1,3,3,6,6,4,1,3,3,3,3,3,
3,6,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,6,1,6,6,4,1,3,3,3,3,3,3,6,6,4,4,4,
1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,3,1,3,12,4,1,3,3,6,6,6,6,4,4,4,1,3,3,6,6,1,4,
3,1,1,1,1],[1,3,4,6,6,4,1,3,6,3,3,3,12,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,
1,3,3,6,6,4,1,3,3,3,3,3,3,6,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,6,6,6,4,
3,4,3,3,6,6,6,4,4,4,1,3,3,6,6,1,4,3,1,1,1,1],[1,1,6,12,4,3,4,3,6,3,6,6,4,4,4,
1,3,3,6,6,1,4,3,1,1,1,1],[1,3,3,1,6,6,4,3,1,3,3,3,3,3,6,6,4,4,4,1,3,3,3,3,3,3,
1,4,3,1,1,1,1],[1,1,3,3,6,6,4,1,3,3,3,3,3,3,6,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,
1,1],[1,7,6,6,4,7,3,3,6,12,4,4,4,1,3,3,6,6,1,4,3,1,1,1,1],[1,1,6,12,4,3,4,3,6,
3,6,6,4,4,4,1,3,3,6,6,1,4,3,1,1,1,1],[1,1,12,6,4,3,3,4,3,6,6,6,4,4,4,1,3,3,6,
6,1,4,3,1,1,1,1],[1,1,9,3,6,4,1,3,3,3,3,6,6,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,
1],[1,1,3,9,6,4,3,1,3,3,3,6,6,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,12,4,
3,6,4,4,4,1,3,3,4,3,1,1],[1,1,1,3,10,4,1,3,3,3,10,6,3,3,3,4,4,4,1,1,1,3,3,3,3,
1,4,1,1,1,1,1],[1,1,12,4,3,6,4,4,4,1,3,3,4,3,1,1],[1,7,7,8,1,1],[1,7,7,8,1,
1],[1,7,7,21,28,7,7,21,21,21,28,28,42,42,42,56,84,84,84,84,1,7,7,7,7,8,14,21,
21,28,28,28,28,42,42,42,42,42,56,84,84,84,84,84,84,84,168,168,7,7,21,21,21,28,
28,42,42,42,56,84,84,84,84,7,7,21,28,1],[1,4,1,6,4,12,6,3,4,4,6,6,6,8,12,12,
12,1,2,2,3,3,4,4,6,6,6,6,12,12,12,1,3,3,6,6,6,6,1,3,3,1],[1,4,1,6,4,12,6,3,4,
4,6,6,6,8,12,12,12,1,2,2,3,3,4,4,6,6,6,6,12,12,12,1,3,3,6,6,6,6,1,3,3,1],[1,1,
7,3,4,12,12,7,3,3,4,6,6,6,8,8,12,12,12,12,12,12,24,24,24,1,1,1,3,3,6,6,6,6,6,
6,6,8,8,12,12,12,12,12,12,12,12,24,24,24,1,3,3,4,6,6,6,6,6,6,12,12,12,1,3,3,4,
4,1],[1,1,7,3,4,24,7,3,3,4,6,6,6,12,12,12,12,24,24,1,1,1,3,3,6,6,6,6,6,6,6,12,
12,12,12,12,12,24,24,1,3,3,4,6,6,6,6,6,6,12,12,12,1,3,3,4,4,1],[1,4,1,6,4,12,
6,3,4,4,6,12,6,6,8,12,12,1,2,4,4,2,3,6,3,6,6,6,6,6,12,12,1,3,3,6,6,6,6,1,3,3,
1],[1,1,7,3,4,7,3,3,4,6,6,12,6,12,1,1,1,6,3,6,3,6,6,6,6,6,1,3,3,6,6,6,6,1,3,3,
1],[1,4,1,6,4,4,8,6,3,4,4,2,2,6,12,4,4,4,4,8,8,8,1,1,1,4,4,2,2,6,2,2,2,2,2,4,
4,4,4,4,4,4,4,8,8,1,1,1,2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,1],[1,4,1,6,4,4,8,6,3,4,
4,2,2,6,4,12,4,4,4,8,8,8,1,1,1,4,4,2,2,2,2,2,2,6,2,4,4,4,4,4,4,4,4,8,8,1,1,1,
2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,1],[1,1,10,4,4,8,2,3,8,2,2,2,8,4,12,4,4,4,4,4,8,
8,1,1,1,4,2,4,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,8,8,1,1,1,2,2,2,2,2,2,4,4,4,4,1,
1,1,2,2,1],[1,3,3,5,4,16,1,1,5,3,3,4,2,2,2,2,2,8,4,4,8,4,8,4,16,8,16,1,1,1,1,
1,2,2,2,2,4,2,4,2,2,2,2,4,8,4,4,8,4,4,4,4,4,4,8,8,8,8,8,8,1,2,1,1,2,2,2,2,2,2,
2,4,4,4,4,4,4,4,4,4,4,8,1,1,1,2,2,4,4,1],[1,1,3,7,4,4,4,1,3,5,4,2,2,2,2,2,4,4,
4,4,4,4,8,4,8,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,8,1,1,1,1,1,1,1,4,4,4,
4,4,1,2,2,2,1],[1,1,3,7,4,4,4,1,3,5,4,2,2,2,2,2,4,4,4,4,4,4,8,4,8,8,8,1,1,1,1,
1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,8,8,1,1,1,1,2,1,1,1,2,4,4,4,4,1,1,1,2,2,
1],[1,3,7,9,12,4,4,8,7,1,9,3,9,12,4,6,2,2,2,18,2,6,8,12,4,12,12,4,4,4,4,36,4,
4,4,8,8,8,8,8,8,8,16,16,1,1,3,3,1,2,1,1,3,1,1,3,18,6,18,2,2,2,2,2,2,2,6,2,6,2,
2,4,4,4,12,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,4,4,12,4,4,4,4,4,4,4,4,4,4,4,8,24,8,
8,8,24,8,8,8,16,16,3,1,3,1,3,1,1,1,1,1,1,4,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,
2,2,4,4,4,4,4,4,4,4,4,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,1,1,1,1,1,1,1,2,
2,2,2,4,4,4,4,1],[1,3,3,5,4,1,1,5,3,3,4,2,6,6,2,2,4,4,4,4,4,4,1,1,3,3,1,2,2,2,
2,2,2,2,6,2,6,2,4,4,4,4,4,4,4,1,1,3,4,2,2,2,2,2,2,2,2,2,2,2,4,1,1,1,2,2,1],[1,
1,3,7,4,12,12,1,3,5,4,6,2,2,2,6,8,8,4,4,4,12,12,12,8,12,8,24,24,24,1,1,1,1,3,
3,1,2,6,6,2,2,2,8,8,12,12,4,4,12,4,12,4,4,4,4,4,4,8,24,8,24,8,8,24,1,1,1,3,1,
1,1,4,6,6,2,2,2,4,4,4,12,4,4,4,4,4,8,1,1,1,2,2,2,2,2,2,1],[1,1,7,3,4,4,4,7,3,
3,4,2,6,2,4,4,4,4,12,4,4,4,8,8,1,1,1,1,1,6,2,6,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,
4,4,4,4,8,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,1,1,1,2,2,1],[1,1,3,7,4,4,4,1,3,5,
4,2,6,6,2,2,4,4,4,4,4,4,8,4,8,8,1,1,3,3,1,1,1,2,2,2,2,6,6,4,4,4,4,4,4,4,4,4,4,
4,1,1,1,1,1,1,3,4,2,4,4,4,4,4,4,4,1,1,1,2,2,1],[1,1,3,7,4,4,4,1,3,5,4,2,2,2,2,
2,4,4,4,4,4,4,4,8,8,4,4,8,1,1,1,1,1,1,1,2,2,4,2,2,4,4,2,2,2,2,4,4,4,4,4,4,4,4,
4,4,4,4,8,1,1,1,1,2,1,1,1,2,4,4,4,4,4,4,4,4,1,1,1,2,2,1],[1,5,3,11,12,8,1,2,7,
10,5,8,8,12,6,8,8,16,4,28,20,4,16,4,4,8,8,8,2,1,1,2,1,4,8,4,4,4,4,2,2,2,2,2,2,
6,8,2,8,4,12,4,8,4,4,4,4,8,16,4,16,4,4,8,4,16,8,8,8,8,8,1,2,1,1,1,1,4,2,2,2,2,
2,2,4,4,4,4,8,4,4,4,4,4,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,1,3,7,4,4,4,1,3,5,4,2,2,
2,2,2,4,4,4,4,4,4,8,4,8,16,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,8,8,8,1,
1,1,1,1,1,1,4,4,4,4,4,1,2,2,2,1],[1,1,3,7,4,4,12,8,1,3,5,4,6,6,2,2,2,8,4,4,4,
4,12,4,4,8,4,4,8,8,8,8,8,16,16,1,1,2,2,3,1,3,1,1,2,2,2,2,6,2,2,2,2,2,2,2,6,2,
4,4,4,4,4,4,4,4,4,4,4,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,1,1,1,1,1,3,
1,2,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,1,1,1,2,2,2,2,2,2,4,4,4,4,1],[1,1,3,15,12,8,1,4,3,9,16,6,12,8,4,24,
4,12,36,4,24,4,4,4,8,8,1,3,3,4,4,12,12,2,6,2,2,2,2,2,6,2,2,8,4,12,4,4,4,4,24,
12,4,4,24,4,8,24,8,8,8,1,3,6,1,1,1,4,2,6,2,2,2,4,4,4,4,12,4,4,4,4,8,1,1,1,2,2,
2,2,4,1],[1,1,3,7,4,4,4,1,3,5,4,2,2,2,2,2,4,4,4,4,4,4,8,4,8,16,1,1,1,1,1,1,1,
2,2,2,2,2,2,4,4,4,4,4,4,4,4,8,8,8,1,1,1,1,1,1,1,4,4,4,4,4,1,2,2,2,1],[1,1,7,3,
4,8,7,3,3,4,2,2,6,4,4,4,12,4,4,8,8,8,1,1,1,1,1,6,2,6,2,2,2,2,2,2,4,4,4,4,4,4,
4,4,4,4,4,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,1,1,1,2,2,1],[1,1,10,4,12,2,3,8,6,
6,2,8,4,4,12,12,4,8,1,2,2,3,3,4,2,2,6,6,4,4,4,12,4,4,8,8,3,1,1,2,6,2,6,2,4,4,
1,1,1,2,2,1],[1,3,7,9,12,7,1,9,3,9,12,4,6,18,6,8,4,12,12,12,36,4,8,1,1,3,3,1,
2,3,3,18,6,2,18,6,6,2,12,4,4,4,12,12,4,4,24,8,24,8,8,8,3,3,3,1,1,4,2,2,2,2,6,
2,4,4,12,4,4,4,4,8,1,1,1,2,2,2,2,4,1],[1,5,3,11,12,4,4,1,2,7,10,5,8,8,12,2,2,
2,6,2,8,8,4,16,28,20,4,4,4,16,4,4,8,2,1,1,1,1,2,1,1,1,4,8,4,4,4,4,2,2,2,2,6,2,
8,2,2,8,4,4,4,12,4,8,4,4,4,4,4,4,8,4,16,4,4,16,8,4,4,4,4,16,8,1,1,2,1,1,1,1,1,
1,1,1,1,4,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,8,4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[
1,1,3,15,12,4,4,1,4,3,9,16,2,2,2,6,2,12,8,24,12,36,4,4,4,24,4,8,8,1,3,1,1,1,1,
3,4,4,12,12,6,2,2,6,2,2,8,4,12,4,4,4,4,24,12,4,24,4,4,4,8,8,24,8,8,1,3,6,1,1,
1,1,1,4,6,2,2,2,4,4,4,4,4,12,4,4,4,8,1,1,1,2,2,2,2,2,2,1],[1,3,3,5,4,4,4,8,1,
1,5,3,3,4,2,2,2,2,2,4,4,4,4,4,4,4,4,4,8,4,8,8,8,8,8,8,8,8,16,16,1,1,1,1,1,2,2,
4,2,2,4,2,4,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,16,16,1,1,1,2,2,
2,2,2,2,2,2,4,4,4,4,4,4,8,8,1,1,1,2,2,1],[1,1,10,4,12,2,3,8,6,6,2,8,4,12,12,4,
4,8,1,2,2,3,3,4,2,6,6,2,4,4,12,4,4,4,8,8,1,1,3,6,6,2,2,2,4,4,1,1,1,2,2,1],[1,
1,3,7,4,4,4,1,3,5,4,2,2,2,2,2,4,4,4,4,4,4,8,4,8,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,
4,4,4,4,4,4,8,1,1,1,1,1,1,1,4,4,4,4,4,1,2,2,2,1],[1,3,3,5,4,12,12,8,1,1,5,3,3,
4,2,6,2,6,2,8,8,4,4,4,4,4,12,12,12,4,4,12,4,8,8,24,24,8,24,8,8,8,16,16,1,1,1,
3,3,2,2,2,6,6,2,2,2,2,2,2,8,8,12,4,12,4,4,4,4,4,4,4,4,12,4,4,4,12,4,4,4,4,4,4,
4,4,4,8,8,8,8,24,8,8,24,8,8,8,8,8,8,24,16,16,1,1,3,4,6,2,2,2,6,2,2,2,2,2,2,4,
4,4,4,4,4,4,4,4,12,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,1,1,1,2,2,4,4,4,4,4,4,
1],[1,1,3,7,4,12,4,8,1,3,5,4,2,2,6,2,6,8,4,4,4,4,4,12,4,8,4,4,8,8,8,8,8,16,16,
1,1,2,2,1,3,1,3,1,2,2,2,2,6,2,2,2,2,2,2,6,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,12,4,4,4,4,4,4,4,4,4,8,8,8,8,3,1,1,1,1,1,1,2,2,2,2,6,2,2,2,2,2,2,2,6,2,2,
2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,2,2,2,2,2,2,4,4,
4,4,1],[1,1,10,4,4,8,2,3,8,2,2,2,4,4,12,4,4,4,4,8,8,8,1,1,1,4,2,2,2,2,2,4,2,2,
2,4,4,4,4,4,4,4,4,4,8,8,1,1,2,1,2,2,2,2,2,4,4,4,4,1,1,1,2,2,1],[1,1,3,7,4,4,4,
1,3,5,4,2,2,2,2,2,8,4,4,4,4,4,4,8,4,8,8,1,1,1,1,1,1,1,4,2,2,2,2,2,2,4,4,4,4,4,
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],[1,1,3,7,4,4,4,16,1,3,5,4,
2,2,2,2,2,4,4,8,4,4,8,4,4,4,8,8,4,4,16,8,16,1,1,1,1,1,1,1,2,2,2,2,4,4,2,2,2,2,
4,4,8,4,4,8,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,8,1,2,1,1,1,1,1,1,2,2,2,2,2,4,4,4,
4,4,4,4,4,4,4,4,4,8,8,1,1,1,2,2,2,2,2,2,1],[1,3,3,5,4,4,4,8,1,1,5,3,3,4,2,2,2,
2,2,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,16,16,8,8,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,
4,4,4,4,4,4,4,4,4,4,8,4,8,8,8,8,8,4,4,4,8,4,4,16,16,1,1,1,2,2,2,2,4,4,2,2,2,4,
2,2,2,4,8,4,8,1,1,1,2,2,1],[1,3,3,5,4,8,8,16,1,1,5,3,3,4,2,4,2,2,2,4,2,4,4,8,
4,4,8,4,4,8,4,8,4,8,8,12,12,16,8,16,8,8,16,16,24,16,16,1,1,1,1,1,1,1,2,2,2,3,
3,2,4,2,1,2,1,4,2,2,1,2,2,2,2,2,1,2,4,4,8,2,2,4,2,2,6,8,4,2,2,4,2,2,2,4,2,2,4,
4,4,4,2,8,2,4,4,4,4,2,2,2,2,2,2,2,8,2,2,4,8,8,8,12,8,8,12,8,12,16,12,16,24,16,
24,1,1,1,1,1,1,2,2,1,2,3,1,1,1,2,1,2,1,1,3,4,2,4,2,2,4,2,2,2,4,2,2,2,2,4,2,2,
2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,4,2,6,2,2,4,2,2,4,2,
2,8,12,1,1,1,1,2,1,1,1,2,2,2,2,2,2,2,2,2,2,2,1],[1,1,3,3,4,20,1,3,3,2,4,2,8,
10,8,2,16,4,16,4,1,1,1,1,2,1,4,1,4,2,2,1,4,8,2,2,2,2,2,8,2,2,2,2,2,2,8,4,8,2,
1,1,1,1,2,1,1,2,1,2,2,2,2,2,4,2,4,2,4,4,4,4,1,1,1,2,2,2,2,2,2,1],[1,1,6,8,4,3,
4,2,2,4,2,6,4,12,4,8,4,1,1,1,2,4,2,4,4,4,4,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,1,
6,8,4,8,3,4,2,2,4,4,2,6,4,4,8,8,4,4,8,4,8,1,1,1,2,2,2,2,2,2,2,4,4,4,2,4,4,4,4,
4,4,4,4,8,8,1,1,1,2,2,2,4,2,2,4,2,4,4,1,1,1,2,2,1],[1,1,6,16,4,3,4,6,6,4,8,2,
14,4,4,4,8,4,8,1,2,2,3,3,6,6,2,4,2,12,4,4,4,4,4,8,8,3,1,6,1,6,2,2,2,4,4,1,1,1,
2,2,1],[1,3,7,9,12,4,4,7,1,9,3,9,12,4,6,2,18,2,6,8,2,12,12,12,4,4,4,36,4,4,2,
4,8,1,1,3,3,1,2,3,1,1,3,18,6,1,18,2,2,2,2,2,6,6,1,4,2,2,12,2,2,4,2,2,2,4,2,2,
12,2,12,4,2,4,2,4,2,4,24,4,24,4,4,3,3,3,1,1,4,2,2,2,1,1,1,1,1,6,2,1,2,2,2,2,2,
2,2,4,2,2,2,12,2,2,2,2,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,4,1,6,4,8,4,8,6,3,4,4,2,
2,6,4,2,12,2,6,4,4,6,4,4,4,8,4,4,8,8,8,8,1,1,1,4,4,6,2,2,2,4,4,2,2,6,2,2,4,4,
4,2,4,4,4,4,4,4,8,4,4,4,4,4,4,4,4,4,4,4,8,1,1,1,1,2,1,1,2,1,2,2,2,2,2,2,2,2,2,
2,2,4,2,4,4,4,4,4,4,4,1,1,1,2,2,2,2,2,2,1],[1,1,6,4,16,3,4,2,2,2,4,4,4,4,2,8,
12,4,1,1,1,2,2,2,2,2,2,2,4,4,2,4,4,4,4,4,4,4,4,4,1,1,2,1,2,2,4,2,2,4,2,4,4,1,
1,1,2,2,1],[1,1,3,7,4,16,1,3,5,4,2,2,2,2,4,8,4,4,8,8,8,4,2,16,4,16,1,1,1,1,1,
1,2,2,2,4,2,4,2,2,2,1,4,8,4,4,4,2,8,2,2,4,4,4,2,2,8,4,4,4,4,8,2,1,1,1,2,1,2,2,
1,2,2,2,2,2,2,4,4,2,2,4,2,4,4,4,1,1,1,1,1,1,1,1],[1,1,6,8,4,3,4,2,2,4,2,6,4,8,
4,4,8,4,1,1,1,4,2,4,2,4,4,4,4,4,4,1,2,1,1,2,2,2,1,1,1,1],[1,1,10,4,4,4,4,2,3,
8,2,2,2,2,2,4,12,2,4,4,4,2,4,12,8,1,1,1,1,1,4,2,1,1,2,2,2,2,2,2,4,2,4,4,2,4,2,
2,6,4,4,4,4,4,4,1,1,1,3,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,3,3,
16,12,4,1,3,3,6,2,8,8,4,8,2,12,12,12,2,12,4,4,24,24,24,4,8,8,1,1,3,3,1,6,6,1,
2,1,8,8,12,12,2,2,2,2,2,12,12,2,2,2,2,2,2,4,24,24,4,4,4,24,4,8,8,8,8,3,4,1,6,
6,1,1,1,1,1,2,2,12,2,2,2,2,2,4,4,4,4,4,4,8,1,1,1,2,2,2,2,2,2,1],[1,1,3,7,4,4,
4,8,1,3,5,4,2,2,2,6,4,4,4,4,4,4,4,4,8,4,4,6,8,4,8,8,1,1,1,1,1,3,2,2,2,2,2,2,3,
2,4,4,4,4,2,4,4,2,6,4,4,6,2,4,4,4,4,4,4,4,4,4,4,4,4,8,1,1,1,1,1,3,2,1,2,2,2,2,
2,2,4,2,2,2,2,2,2,4,2,4,2,2,2,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,10,4,4,4,4,
2,3,8,2,2,2,2,2,8,4,12,2,4,4,4,2,4,4,8,1,1,1,1,1,4,2,4,1,1,2,2,4,2,2,2,4,2,4,
2,4,4,2,4,2,2,2,4,4,4,4,1,1,1,2,2,1,2,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[
1,3,3,5,4,8,1,1,5,3,3,4,2,2,2,2,4,4,4,4,4,4,4,2,8,12,8,1,1,1,2,2,1,2,2,2,2,2,
2,2,1,2,4,6,4,6,2,4,2,6,4,4,4,4,4,4,4,4,1,1,1,1,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
4,4,1,1,1,1,1,1,1,1],[1,1,3,7,4,4,4,16,1,3,5,4,2,2,2,2,2,4,4,4,4,8,4,4,8,4,8,
8,8,8,4,16,4,8,4,4,8,8,8,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,4,4,
4,2,8,2,4,2,2,2,2,4,2,2,2,4,2,2,4,6,6,4,2,2,4,2,4,2,4,2,2,8,4,2,2,2,2,2,2,2,4,
4,4,4,4,8,8,1,1,1,1,1,1,1,2,1,2,1,1,2,2,2,1,1,4,1,4,2,2,2,2,2,2,4,4,6,2,2,2,2,
2,2,4,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,4,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,1],[1,3,3,5,4,4,4,1,1,5,3,3,4,2,2,2,2,
2,2,2,6,4,4,4,4,4,4,4,6,4,8,1,1,1,1,1,1,1,2,2,3,2,2,2,2,2,2,3,4,2,2,2,2,4,2,2,
2,4,2,6,2,4,4,6,2,2,4,4,4,4,8,1,1,1,1,1,2,1,3,1,1,1,1,2,1,1,2,2,2,2,2,2,4,2,2,
2,4,4,2,2,2,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,3,7,4,4,4,1,3,5,4,2,2,2,4,4,4,4,2,
4,8,2,8,4,4,4,4,8,1,1,1,1,1,2,2,1,2,4,1,4,2,2,2,2,2,4,4,2,4,2,2,2,4,2,2,4,4,4,
4,1,1,2,1,1,1,1,2,1,2,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,3,7,4,4,4,1,3,5,4,
2,2,2,4,4,4,4,2,4,8,2,4,4,12,4,8,1,1,1,1,1,2,2,1,2,1,4,2,2,2,2,4,2,4,4,2,4,2,
2,2,6,2,4,4,4,4,1,1,1,1,1,1,3,2,1,2,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,7,3,4,
8,8,8,7,3,3,4,4,2,2,6,4,4,4,4,4,4,4,12,8,4,4,4,4,4,16,8,4,4,16,8,8,1,1,1,1,1,
1,1,2,6,6,1,1,2,2,4,1,4,1,2,2,2,2,3,2,2,2,3,4,4,2,2,2,4,4,2,2,2,4,2,2,2,2,4,2,
4,6,4,2,2,2,4,2,2,2,2,8,2,4,8,2,2,2,4,4,4,4,4,4,8,8,1,1,1,1,1,1,2,2,1,2,4,1,1,
3,1,1,1,3,1,2,2,2,4,2,2,2,2,2,2,4,4,2,2,4,2,2,2,2,6,4,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,1,1,1,2,1,1,1,1,2,2,2,2,2,2,2,2,2,
2,2,1],[1,1,3,3,8,4,4,1,3,3,2,2,4,4,4,2,4,4,4,2,4,4,4,4,8,4,8,8,1,1,1,1,2,1,2,
2,1,2,2,1,4,2,2,2,2,2,4,4,2,4,2,2,4,2,4,2,2,4,4,4,4,8,4,1,1,1,1,2,1,1,1,4,2,2,
4,2,4,2,2,2,2,4,4,1,1,1,2,2,1],[1,1,6,4,8,3,4,2,2,2,4,4,2,4,8,4,8,1,1,1,2,2,4,
4,4,4,4,4,4,4,1,1,2,1,2,2,2,1,1,1,1],[1,1,3,3,8,4,4,1,3,3,2,2,4,4,2,4,4,4,10,
4,4,4,8,4,8,8,1,1,1,1,1,4,2,2,4,1,4,2,1,4,2,2,2,2,2,4,2,2,2,2,2,2,4,4,4,4,4,1,
2,1,1,1,1,1,1,2,2,2,2,4,2,2,2,1,1,1,2,2,1],[1,1,3,3,4,8,4,1,3,3,4,2,2,4,4,2,4,
4,4,2,4,4,4,4,8,4,8,8,1,1,1,1,2,1,2,2,1,1,2,2,4,2,2,2,4,2,2,4,2,2,4,2,2,4,4,2,
2,4,4,4,8,4,4,1,1,1,1,1,1,2,1,2,4,2,2,2,4,2,4,2,2,4,4,1,1,1,2,2,1],[1,1,7,3,4,
4,4,7,3,3,4,2,6,2,4,4,4,12,4,4,8,8,8,1,1,1,1,1,6,6,2,2,2,2,2,4,4,4,4,4,4,4,4,
4,4,4,4,1,1,1,2,2,2,2,2,2,2,4,2,2,2,1,1,1,2,2,1],[1,4,1,6,4,4,8,8,6,3,4,4,2,2,
6,4,6,12,6,2,4,4,2,4,4,8,4,4,4,8,8,8,8,1,1,1,4,4,2,6,2,2,2,4,2,4,2,4,2,2,4,4,
6,4,4,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,1,1,1,1,2,1,2,1,1,2,2,2,2,2,2,2,2,2,2,
2,2,4,4,4,4,4,4,4,4,1,1,1,2,2,2,2,2,2,1],[1,1,7,3,4,4,4,8,7,3,3,4,2,2,2,6,2,2,
4,4,4,4,4,12,4,4,4,2,8,4,8,8,1,1,1,1,1,1,1,6,1,6,2,2,2,2,2,2,2,2,2,1,2,4,4,4,
2,4,4,4,4,4,2,2,4,2,4,4,2,4,4,4,4,4,1,1,1,1,1,2,2,2,1,2,2,2,2,1,2,2,2,2,2,2,4,
2,2,4,2,4,4,1,1,1,1,1,1,1,1],[1,1,7,3,4,8,7,3,3,4,2,2,6,4,4,12,4,8,8,1,1,1,1,
1,6,6,2,2,2,2,2,4,4,4,4,4,4,4,4,1,1,1,2,2,2,2,4,2,2,2,2,2,2,1,1,1,2,2,1],[1,1,
3,3,4,8,4,1,3,3,4,2,2,4,2,4,4,4,2,4,4,8,4,8,4,8,8,1,1,1,1,1,2,2,1,1,2,4,2,2,2,
4,2,2,4,2,2,4,2,2,2,2,4,4,4,4,4,4,1,1,1,1,2,1,1,2,1,2,2,2,2,2,2,2,2,1,1,1,2,2,
1],[1,1,3,15,12,4,4,1,4,3,9,16,2,6,2,12,8,4,24,12,36,2,4,24,2,4,4,4,4,8,1,3,1,
1,3,4,4,12,12,2,6,1,6,1,8,12,2,4,2,2,2,4,2,24,12,2,4,2,2,24,2,2,2,4,4,4,4,24,
4,4,4,4,4,4,1,3,6,1,4,1,2,1,1,6,1,1,2,1,2,2,2,2,2,2,2,12,2,2,2,2,2,4,4,4,4,1,
1,1,1,1,1,1,2,2,2,2,1],[1,1,3,7,4,4,4,1,3,5,4,2,2,2,2,2,4,4,4,4,4,4,8,4,16,8,
1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,8,4,8,4,8,4,4,4,4,1,1,1,2,2,2,2,4,2,2,2,2,2,2,2,
2,4,4,1,1,1,1,1,1,1,1],[1,3,3,5,4,4,4,8,1,1,5,3,3,4,2,2,2,2,2,4,4,4,4,4,4,4,4,
4,4,4,4,8,8,8,8,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,2,2,2,2,4,2,2,4,4,4,4,2,4,
4,2,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,1,2,2,1,2,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,3,3,5,4,4,4,1,1,5,3,3,4,2,2,
2,2,2,2,2,2,4,4,4,4,4,4,8,4,2,4,8,1,1,1,1,1,1,1,2,2,1,4,2,2,4,4,2,2,2,2,1,4,2,
2,2,4,2,2,2,2,4,2,2,2,4,4,4,4,2,2,2,1,1,2,1,2,2,1,1,1,2,1,1,2,1,2,2,2,2,2,2,2,
4,4,2,1,1,1,1,1,1,1,1],[1,1,3,7,4,4,4,1,3,5,4,2,2,2,4,4,4,2,4,8,2,4,4,12,4,4,
8,1,1,1,1,1,2,1,2,2,1,4,2,4,2,2,4,2,4,4,2,2,2,2,2,2,6,4,4,4,4,1,1,1,1,1,3,2,1,
2,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,3,3,8,4,4,1,3,3,2,2,4,4,2,4,4,4,2,4,4,
4,8,8,4,8,8,1,1,1,1,1,2,2,1,2,1,4,2,2,2,2,2,4,4,2,4,2,2,2,4,2,2,4,4,4,4,4,1,1,
1,1,2,1,2,1,1,2,2,2,2,2,2,2,2,1,1,1,2,2,1],[1,4,1,6,4,4,6,3,4,4,2,2,6,12,4,4,
8,1,1,1,4,4,6,2,4,4,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,4,1,6,4,4,4,4,6,3,4,4,2,2,
2,2,6,4,12,2,4,4,2,4,4,4,8,1,1,1,1,1,4,4,2,1,6,2,1,4,2,2,2,2,2,2,4,4,2,4,4,2,
2,4,2,2,4,4,1,1,1,1,1,2,2,2,1,2,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,10,4,
12,2,3,8,2,4,4,12,6,4,6,4,8,12,4,1,2,4,2,2,2,3,2,3,6,6,6,4,6,4,2,4,4,4,4,4,4,
1,1,1,1,3,2,6,2,2,6,2,2,2,1,1,1,1,1,1,1,1],[1,3,3,5,4,4,4,16,1,1,5,3,3,4,2,2,
2,2,2,2,2,2,8,4,4,8,4,4,4,4,8,4,2,8,16,4,8,8,16,8,8,16,16,1,1,1,1,1,1,1,2,2,1,
2,2,4,4,2,2,2,2,1,4,4,8,4,4,2,4,8,4,2,2,4,4,4,2,4,2,8,8,8,4,8,8,4,4,4,4,8,4,8,
8,4,8,4,16,16,1,2,1,1,2,1,1,2,2,1,2,1,2,1,2,1,2,2,2,2,4,2,4,2,2,2,2,4,2,2,2,2,
4,2,4,8,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,3,3,4,8,4,1,3,3,4,2,2,4,2,4,4,4,10,4,
4,4,8,4,8,8,1,1,1,1,1,4,2,2,1,4,4,1,2,4,2,2,2,2,2,4,2,2,2,2,2,2,4,4,4,4,4,1,2,
1,1,1,1,1,1,2,2,2,2,2,2,4,2,1,1,1,2,2,1],[1,1,6,4,8,8,3,4,2,2,4,4,6,2,4,4,8,8,
4,8,4,4,8,1,1,1,2,2,2,2,2,2,2,4,4,4,4,2,4,4,4,4,4,4,4,8,8,1,2,1,1,2,2,2,2,4,4,
2,4,4,1,1,1,2,2,1],[1,1,6,4,8,3,4,2,2,4,8,6,2,4,4,8,4,4,1,1,1,4,2,4,4,2,4,4,4,
4,4,1,2,1,1,2,2,2,1,1,1,1],[1,1,3,7,4,4,4,8,1,3,5,4,2,2,2,2,4,4,4,4,4,4,4,4,8,
4,8,4,2,8,4,8,8,1,1,1,1,1,1,2,4,2,2,4,2,4,2,2,1,2,4,4,4,4,4,2,4,4,2,2,4,4,4,2,
2,4,4,4,4,4,4,4,4,1,1,1,2,2,1,1,2,2,2,2,2,2,2,2,2,4,4,2,4,2,4,4,4,1,1,1,1,1,1,
1,1],[1,1,10,4,4,8,8,2,3,8,2,2,2,4,2,4,12,6,2,4,4,4,6,8,4,4,8,4,8,4,4,8,8,1,1,
1,4,2,2,2,2,4,6,2,2,4,4,4,2,2,4,2,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,8,1,
1,1,1,1,2,2,1,1,2,2,2,2,2,2,2,2,2,4,2,2,2,4,4,4,4,4,4,4,1,1,1,2,2,2,2,2,2,1],[
1,5,3,11,12,1,2,7,10,5,8,8,12,2,2,6,8,8,2,16,28,20,16,4,2,4,2,1,1,1,1,2,1,4,8,
4,4,4,4,1,2,2,2,2,6,2,8,2,1,8,12,8,4,2,2,2,8,16,4,4,4,16,4,8,2,2,16,4,8,4,4,4,
1,2,1,1,1,1,4,1,1,2,2,1,2,1,1,2,2,1,2,2,8,4,2,4,2,2,2,4,2,4,2,2,2,4,1,1,1,1,1,
1,1,2,2,2,2,1],[1,3,3,5,4,1,1,5,3,3,4,2,2,2,2,2,4,4,4,4,4,4,8,1,1,1,1,1,2,2,2,
2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,2,1,1,2,2,2,2,2,2,2,2,2,4,4,1,1,
1,1,1,1,1,1],[1,1,6,12,8,3,4,6,6,8,2,12,4,2,4,4,1,2,2,3,3,6,6,2,2,12,4,4,4,4,
4,4,3,1,6,1,6,2,2,2,4,4,1,1,1,2,2,1],[1,1,10,4,4,2,3,8,2,2,2,4,4,12,4,4,8,1,1,
1,4,2,2,4,4,4,4,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,1,10,4,4,4,4,2,3,8,2,2,2,2,2,
4,12,2,4,4,4,2,8,4,4,8,1,1,1,1,1,4,2,1,4,1,4,2,2,2,2,4,2,2,4,2,4,4,2,4,2,2,2,
4,4,4,4,1,1,2,1,1,2,2,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,10,4,4,8,2,
3,8,2,2,2,4,12,4,4,4,4,4,8,8,8,1,1,1,4,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,1,1,1,2,2,2,2,4,4,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,7,3,4,4,4,16,7,3,3,
4,2,4,4,6,2,4,8,12,4,4,8,8,8,4,8,4,8,16,4,4,8,8,8,1,1,1,1,1,1,1,2,6,6,2,2,2,2,
3,2,2,2,1,4,4,2,3,1,1,1,2,4,2,2,2,2,2,2,2,4,4,4,4,4,4,2,2,2,4,4,8,2,2,2,2,2,2,
2,2,6,4,2,4,4,2,2,8,2,8,8,8,8,1,1,1,1,1,1,2,1,2,3,2,1,2,1,1,1,3,1,2,4,1,2,2,2,
2,2,2,2,4,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,4,2,2,2,2,2,2,4,2,4,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,6,4,2,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,1],[1,1,10,4,4,8,
2,3,8,2,2,2,4,4,12,4,4,4,4,8,8,8,1,1,1,4,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,1,1,1,2,2,2,2,4,2,4,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,4,16,3,4,6,6,8,
4,14,2,4,4,8,4,4,8,1,2,2,3,3,6,6,2,4,12,2,4,4,4,4,4,8,8,3,6,6,1,1,2,2,2,4,4,1,
1,1,2,2,1],[1,1,3,3,12,16,4,1,3,3,8,2,6,8,4,8,2,12,12,12,2,12,4,24,24,4,24,4,
8,8,1,1,3,3,1,6,6,1,1,2,8,8,12,12,2,2,2,2,12,2,12,2,2,2,2,2,2,4,24,24,4,4,4,
24,4,8,8,8,8,3,4,1,1,6,1,6,1,1,1,2,12,2,2,2,2,2,2,4,4,4,4,4,4,8,1,1,1,2,2,2,2,
2,2,1],[1,5,3,11,12,4,4,1,2,7,10,5,8,8,12,2,6,2,8,8,16,28,20,2,4,16,2,4,4,4,4,
4,8,2,1,1,1,2,1,1,4,8,4,4,4,4,2,1,6,8,2,1,8,4,12,2,8,2,2,2,2,4,8,16,4,2,4,16,
2,2,8,2,2,2,4,16,4,4,4,4,8,4,4,4,4,4,1,1,2,1,1,1,4,1,2,1,1,2,1,2,1,1,2,2,2,2,
2,8,2,4,2,4,2,4,2,2,2,2,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,3,3,4,4,1,3,3,2,
4,2,2,2,8,4,4,1,1,1,1,2,1,1,2,2,1,2,2,2,4,2,2,2,4,2,2,2,2,2,4,4,1,1,1,1,1,1,2,
1,2,2,2,2,4,2,2,2,1,1,1,2,2,1],[1,1,3,7,4,8,1,3,5,4,2,4,4,4,4,4,4,8,4,4,4,8,8,
8,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,2,2,2,2,2,4,2,
4,2,1,1,1,1,1,1,1,1],[1,1,10,4,8,4,8,2,3,8,2,2,2,4,6,4,12,2,6,4,4,4,2,8,4,4,4,
8,8,4,4,8,8,1,1,1,4,2,2,2,2,4,4,2,2,6,4,4,2,2,4,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,8,4,4,8,1,1,1,1,2,1,1,1,2,2,2,2,2,4,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,1,1,1,
2,2,2,2,2,2,1],[1,3,3,5,4,4,4,8,1,1,5,3,3,4,2,2,4,4,2,2,2,4,4,4,4,4,4,4,8,4,8,
8,8,8,1,1,1,1,1,1,1,2,2,2,4,2,2,1,2,2,2,2,3,2,2,2,2,4,1,1,3,1,2,4,4,2,8,2,4,4,
2,4,2,2,2,4,2,2,4,2,2,2,4,4,2,4,2,4,8,2,2,4,2,2,2,2,6,4,2,2,2,8,1,1,1,2,2,1,1,
1,2,2,3,1,1,4,3,1,1,2,1,1,2,1,4,2,2,2,2,2,4,2,2,2,2,2,2,2,2,4,2,2,2,2,2,4,2,2,
2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,4,2,2,2,1,1,1,1,1,1,2,1,2,2,2,
2,2,2,2,2,2,2,2,1],[1,3,3,5,4,1,1,5,3,3,4,2,2,2,2,2,4,4,4,4,1,1,1,1,1,2,2,2,2,
2,2,2,2,2,4,4,4,4,4,4,4,1,1,1,2,2,2,2,4,2,2,2,2,2,2,1,1,1,2,2,1],[1,1,3,3,4,4,
1,3,3,2,4,2,4,2,2,4,4,4,1,1,1,1,2,2,2,2,1,2,1,1,2,2,2,2,2,4,2,2,2,2,4,2,2,4,1,
1,2,1,1,1,2,1,1,2,2,2,2,2,2,2,2,1,1,1,2,2,1],[1,1,3,3,4,20,1,3,3,2,4,2,8,10,8,
2,4,16,16,4,1,1,1,1,2,4,4,2,2,1,1,1,4,8,2,2,2,2,2,8,2,2,2,2,2,2,8,4,8,2,1,1,1,
1,1,1,2,1,2,2,2,2,2,2,4,2,4,2,4,4,4,4,1,1,1,2,2,2,2,2,2,1],[1,1,3,3,4,4,1,3,3,
2,4,2,2,2,4,8,4,1,1,1,1,2,2,2,1,1,1,2,2,2,2,4,2,4,2,2,2,2,2,4,2,4,1,1,1,1,1,1,
1,2,2,2,2,2,4,2,2,2,1,1,1,2,2,1],[1,1,3,3,4,4,1,3,3,6,8,2,2,2,4,4,1,1,3,3,2,6,
6,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,3,4,1,1,1,1,1,1,2,2,2,2,2,2,2,1,1,1,2,2,1],[1,
1,3,7,4,4,4,1,3,5,4,2,2,2,8,4,4,4,2,4,8,2,4,4,4,4,4,8,1,1,1,1,1,4,2,1,2,2,1,4,
2,2,2,4,2,4,4,2,2,2,4,2,2,2,2,4,4,4,4,1,1,1,2,1,1,2,1,2,1,1,1,2,2,2,2,2,2,1,1,
1,1,1,1,1,1],[1,5,3,11,12,4,4,8,1,2,7,10,5,8,8,12,2,6,2,8,8,2,16,4,28,20,4,4,
4,4,16,4,4,2,8,8,4,8,8,8,8,8,16,16,2,1,1,2,1,1,1,4,8,4,4,4,4,1,2,2,2,2,2,6,8,
1,2,8,4,4,4,2,2,12,2,8,4,2,2,2,2,4,4,4,2,2,4,8,2,16,4,16,4,8,2,2,4,2,4,8,16,8,
8,4,4,4,8,4,8,4,4,4,8,4,4,4,8,4,4,4,4,8,4,16,16,1,2,1,1,1,1,4,2,2,2,1,1,1,1,2,
2,1,1,2,2,2,4,4,2,2,2,2,2,2,2,2,4,2,2,8,2,4,2,2,2,4,2,4,2,2,2,2,4,4,4,4,4,8,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,1],[1,1,3,7,4,8,1,
3,5,4,2,4,4,4,4,4,4,8,4,4,4,8,8,8,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,
4,4,4,4,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,3,3,4,4,1,
3,3,2,4,2,4,2,2,4,4,4,1,1,1,1,2,2,1,1,2,2,1,2,2,2,2,2,2,2,4,2,2,4,2,2,2,4,1,1,
2,2,1,1,1,2,1,1,2,2,2,2,2,2,2,1,1,1,2,2,1],[1,1,6,4,8,3,4,2,2,2,4,4,2,4,8,4,8,
1,1,1,2,4,2,4,4,4,4,4,4,4,1,2,1,1,2,2,2,1,1,1,1],[1,1,6,4,8,3,4,2,2,4,6,2,4,
12,8,4,4,1,1,1,2,4,4,2,4,4,4,4,4,4,1,1,2,1,2,2,2,1,1,1,1],[1,1,6,12,8,3,4,6,6,
8,2,12,4,2,4,4,1,2,2,3,3,6,6,2,12,2,4,4,4,4,4,4,3,6,6,1,1,2,2,2,4,4,1,1,1,2,2,
1],[1,1,10,4,4,2,3,8,2,2,2,4,12,4,4,4,8,1,1,1,4,2,2,4,4,4,4,4,4,4,1,1,1,2,2,2,
2,1,1,1,1],[1,1,3,15,12,4,4,1,4,3,9,16,2,2,6,12,8,24,12,36,2,4,24,2,4,4,4,4,4,
8,1,3,1,1,3,4,4,12,12,6,1,6,2,1,8,4,12,2,4,2,2,4,2,24,12,2,2,2,24,2,2,2,2,4,4,
4,24,4,4,4,4,4,4,4,3,6,1,1,4,1,1,6,1,2,2,1,1,1,2,2,2,2,2,2,2,12,2,2,2,2,2,4,4,
4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,6,4,16,3,4,2,2,2,4,4,4,4,2,8,12,4,1,1,1,2,2,
2,2,2,2,2,4,4,4,2,4,4,4,4,4,4,4,4,1,2,2,1,1,2,2,2,4,4,2,4,4,1,1,1,2,2,1],[1,4,
1,6,4,4,6,3,4,4,2,2,6,4,12,4,8,1,1,1,4,4,2,6,4,4,4,4,4,1,1,1,2,2,2,2,1,1,1,
1],[1,1,3,3,4,4,1,3,3,2,8,6,2,2,4,4,1,1,3,3,2,1,1,6,6,1,2,2,2,2,2,2,2,2,2,2,2,
4,3,4,1,1,1,1,1,1,2,2,2,2,2,2,2,1,1,1,2,2,1],[1,1,6,4,8,3,4,2,2,2,4,4,10,4,4,
8,1,1,1,4,2,2,4,4,4,4,4,4,4,1,2,1,1,2,2,2,1,1,1,1],[1,1,3,7,4,1,3,5,4,2,2,2,6,
4,4,4,8,4,6,4,1,1,1,1,1,3,2,2,2,2,2,2,2,3,4,2,2,6,4,6,2,1,1,1,1,1,2,3,2,2,1,2,
2,2,2,2,2,1,1,1,1,1,1,1,1],[1,5,3,11,12,4,4,1,2,7,10,5,8,8,12,2,2,6,8,8,4,16,
28,20,2,4,16,2,4,4,4,4,8,2,1,1,1,2,1,1,4,8,4,4,4,4,2,2,1,6,8,1,8,12,2,8,2,2,4,
2,8,4,16,4,2,16,2,2,8,2,4,2,2,2,4,16,4,4,4,8,4,4,4,4,4,4,1,2,1,1,1,1,4,1,1,2,
1,2,2,1,1,1,2,2,2,2,8,4,2,2,2,4,2,4,2,2,2,2,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[
1,3,7,9,12,8,7,1,9,3,9,12,4,6,2,2,18,6,8,2,12,4,12,12,4,36,4,2,8,4,8,1,1,3,3,
1,2,1,1,3,3,18,6,1,18,2,2,6,2,6,2,1,2,4,12,2,4,4,4,4,2,2,12,12,2,2,4,24,4,4,
24,4,4,4,4,4,4,3,3,1,3,1,4,1,1,1,2,1,1,2,6,2,1,2,2,2,2,2,2,2,12,2,2,4,2,2,2,2,
2,2,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,6,4,8,3,4,2,2,10,4,4,2,4,4,8,1,1,1,4,2,4,
2,4,4,4,4,4,4,1,2,1,1,2,2,2,1,1,1,1],[1,3,1,3,8,1,3,3,3,3,4,6,4,4,4,1,1,1,2,3,
3,3,3,6,2,2,6,6,2,4,4,2,2,2,3,3,3,2,1,1,6,1,1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,
3,3,8,4,8,12,1,1,1,2,2,4,2,4,8,2,2,4,4,4,2,2,2,6,4,2,6,2,6,2,4,4,8,2,4,6,4,4,
6,2,12,12,20,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,2,1,1,1,1,1,1,2,1,2,2,2,
1,1,1,1,2,3,4,5,3,1,5,4,3,1,5,2,3,5,2,3,3,3,1,5,2,3,4,3,1,2,4,3,1,2,5,3,3,3,6,
3,2,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,4,3,2,2,1,1,2,1,1,3,1,2,1,1,1,1,1,2,3,1,1,1,1,2,1,1,1,1,1,1,3,2,3,3,
1,2,2,1,1,1,2,1,1,2,1,1,1,4,1,1,2,2,1,2,2,2,2,3,1,3,3,1,2,1,2,1,4,1,2,2,1,3,1,
2,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,3,4,6,10,
4,1,5,2,6,3,2,4,2,2,8,4,6,6,12,8,4,4,1,1,1,3,3,1,1,2,2,2,6,2,2,2,2,2,2,6,2,2,
2,2,6,6,2,4,4,4,4,1,1,1,3,1,2,2,3,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,7,6,6,
8,7,3,2,2,3,2,2,4,6,4,4,6,6,12,8,4,4,1,1,1,3,1,3,1,2,2,2,2,2,2,2,4,6,6,2,4,2,
6,6,2,4,4,4,4,1,3,1,1,2,2,1,2,2,3,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,3,9,16,
4,4,1,1,3,3,3,6,4,12,2,12,2,12,20,2,24,18,18,2,4,18,2,2,4,4,4,4,8,1,2,3,1,3,1,
3,3,1,3,1,3,3,1,3,1,3,3,1,1,6,2,6,2,15,2,2,2,2,2,2,2,6,9,15,2,6,2,2,2,9,2,4,2,
4,24,4,2,2,4,2,24,2,2,2,2,4,2,2,2,2,2,1,1,1,1,1,3,1,1,1,1,1,3,1,3,1,1,6,1,2,1,
1,1,3,2,3,2,2,1,1,6,1,3,1,2,1,1,2,1,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1],[1,1,6,8,4,1,2,2,2,2,4,4,10,8,4,4,4,8,1,1,1,2,4,4,4,2,4,4,4,4,4,1,1,
1,2,2,2,2,1,1,1,1],[1,1,2,4,4,4,12,1,2,4,2,2,2,4,2,4,4,2,2,4,4,8,8,1,1,1,1,2,
1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,2,4,4,4,4,4,4,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,
2,2,1,1,1,1,1,1,1,1],[1,1,3,3,8,8,4,12,1,1,1,2,2,2,4,2,8,4,2,4,4,4,2,2,2,6,4,
2,6,2,6,2,4,8,4,6,4,2,4,4,2,6,12,20,12,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,2,2,
1,1,1,1,2,1,1,1,1,1,1,1,1,2,2,1,5,2,1,4,1,3,3,1,2,5,5,3,4,5,3,2,3,3,3,3,3,2,5,
2,5,3,2,4,3,3,6,3,1,3,1,2,1,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,1,2,1,2,1,2,2,1,3,2,1,1,4,1,1,2,1,1,1,1,2,1,2,
2,4,1,2,1,3,1,1,3,1,1,3,1,1,1,2,1,1,3,1,1,1,1,3,2,1,3,1,1,1,2,2,1,2,2,2,2,2,2,
1,1,1,1,1,2,1,1,3,4,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,
1,1,1,1,1,1],[1,1,1,1,4,4,12,1,2,3,1,2,2,2,4,2,4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,4,1,1,1,2,2,2,2,1,2,1,2,1,1,2,2,2,2,2,2,
1,1,1,1,1,1,1,1],[1,3,1,3,6,6,4,1,3,3,1,2,2,1,2,2,2,2,2,2,2,6,2,4,2,2,4,6,6,4,
4,4,4,4,4,1,2,1,1,1,1,1,2,1,2,2,1,2,2,2,2,4,2,2,2,1,1,2,2,2,2,2,4,2,1,2,2,2,2,
2,2,2,2,2,2,2,2,2,4,2,2,2,2,1,1,2,1,1,2,1,2,1,1,2,2,1,1,1,2,1,2,2,2,2,2,2,2,2,
2,2,1,1,1,1,1,1,1,1],[1,1,1,1,4,10,6,8,1,2,1,2,2,3,2,2,4,2,2,2,4,2,2,6,2,2,2,
2,4,4,6,6,4,4,8,8,8,4,4,1,1,1,1,1,2,1,1,2,2,1,2,2,2,2,2,2,2,1,2,2,1,2,2,2,2,2,
2,2,1,2,2,2,2,4,4,2,2,2,2,4,2,2,2,2,2,4,2,2,2,2,4,4,4,4,1,1,1,2,2,1,2,1,2,2,1,
1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,6,8,4,1,2,2,2,2,4,4,
10,8,4,4,4,8,1,1,1,2,4,4,4,2,4,4,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,7,10,10,7,5,
5,2,4,4,2,10,6,6,20,4,4,1,1,1,2,5,5,3,3,6,10,10,2,6,6,2,4,4,4,4,1,5,3,3,1,6,3,
1,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,4,10,6,4,1,3,2,6,5,2,4,2,2,8,4,6,6,12,8,4,4,1,
1,1,3,1,3,2,1,2,2,6,2,2,2,2,2,2,2,2,6,2,2,6,6,2,4,4,4,4,1,1,1,3,2,1,2,2,3,1,2,
2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,1,3,4,4,16,1,3,3,2,1,1,2,8,4,4,4,2,4,8,4,4,
8,4,8,8,1,1,2,1,2,1,1,1,1,4,2,4,2,2,2,2,2,2,4,2,2,4,2,2,4,4,2,2,2,8,1,1,2,1,2,
2,2,1,2,1,2,2,1,1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,4,12,4,1,4,2,2,2,4,4,4,
2,6,2,2,4,4,4,8,4,4,8,8,1,1,1,1,1,1,1,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,4,4,4,4,4,
4,4,4,4,4,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,12,4,
4,1,2,2,2,4,4,4,4,2,2,6,2,4,4,4,4,8,4,8,8,1,1,1,1,1,1,2,1,2,4,2,2,2,2,2,2,2,2,
2,2,4,2,2,4,4,4,4,4,4,4,4,4,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,
1],[1,1,1,1,4,4,12,1,2,2,1,3,2,2,4,2,4,4,4,4,4,4,1,1,1,1,2,1,1,1,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,4,2,2,2,4,1,1,1,1,2,2,1,2,2,1,1,2,2,2,2,2,2,2,2,1,1,1,1,1,
1,1,1],[1,1,1,1,4,6,10,8,1,2,3,2,2,1,2,2,4,2,2,2,4,2,2,6,2,2,2,2,4,6,6,4,4,4,
8,8,8,4,4,1,1,1,1,1,1,2,1,2,2,1,2,2,2,2,2,2,1,2,2,1,2,2,2,2,2,2,2,1,2,2,2,2,2,
4,2,2,2,2,4,2,4,2,2,2,2,2,2,2,2,4,4,4,4,4,1,1,1,2,1,1,2,1,1,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,7,20,7,5,5,10,8,20,1,1,1,2,3,5,5,3,
10,6,10,6,2,2,6,1,3,3,5,1,6,3,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,7,4,4,12,7,2,3,3,
2,6,4,8,12,8,1,2,2,1,3,3,1,1,1,2,2,2,2,6,2,4,4,6,2,6,2,2,6,1,1,2,3,1,2,2,2,2,
1,2,3,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,1,3,10,10,12,1,3,3,3,3,2,4,4,2,2,6,6,2,
2,10,6,6,2,8,12,12,12,6,6,12,4,12,12,24,4,4,1,1,1,2,3,3,3,3,2,2,1,6,2,2,6,6,1,
1,2,2,6,1,2,2,6,2,12,2,2,2,2,2,12,2,2,2,2,12,12,2,2,2,2,12,4,4,4,4,4,24,4,4,
24,4,3,3,3,4,1,1,2,1,1,1,1,1,1,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,12,2,2,2,4,4,1,1,
1,1,1,1,1,2,2,2,2,1],[1,3,4,4,16,1,5,3,6,2,8,2,8,12,8,1,1,2,1,3,3,1,1,2,2,2,6,
2,6,2,2,2,2,2,2,2,6,2,2,6,1,1,3,1,2,2,2,2,2,2,1,3,1,2,2,2,2,1,1,1,1,1,1,1,1],[
1,3,3,9,16,4,4,1,1,3,3,3,6,4,12,2,2,12,12,20,2,24,18,18,2,4,18,2,2,4,4,4,4,8,
1,2,3,1,3,1,3,3,1,3,1,3,3,1,3,1,3,3,1,1,6,2,6,15,2,2,2,2,2,6,2,9,15,2,6,2,9,2,
2,2,2,4,2,2,4,24,4,2,2,2,24,2,2,2,4,2,4,2,2,2,2,2,1,1,1,1,1,1,1,1,3,1,1,1,1,3,
1,3,6,1,2,2,1,1,1,2,3,3,1,1,6,1,3,1,2,2,2,1,1,1,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1],[1,3,4,4,16,1,2,3,5,6,8,2,8,12,8,1,1,2,1,3,3,1,1,2,2,2,6,
6,2,2,2,2,2,2,2,2,6,2,2,6,1,1,3,1,2,2,2,2,2,1,2,3,1,2,2,2,2,1,1,1,1,1,1,1,1],[
1,1,2,4,4,4,12,1,2,4,2,2,2,4,2,4,4,2,2,4,4,8,8,1,1,1,1,2,1,1,1,2,2,2,2,2,2,2,
2,2,2,2,2,2,4,4,4,4,4,4,4,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,
1],[1,2,1,4,8,8,4,8,1,1,1,2,4,2,2,2,2,4,4,4,8,6,2,2,6,2,4,4,4,4,4,4,4,8,4,4,4,
4,4,8,8,1,1,1,2,1,1,1,1,2,2,4,2,1,3,3,2,1,2,3,3,2,2,2,1,2,2,2,4,1,2,4,2,4,2,2,
4,4,2,6,2,4,2,2,4,2,4,2,4,2,2,2,6,4,2,4,4,4,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,2,1,
1,1,1,2,1,1,1,2,1,1,1,2,1,2,1,1,2,2,2,2,2,2,2,2,2,4,2,2,2,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1],[1,2,1,4,8,4,8,8,1,1,1,2,4,2,2,2,2,4,4,4,8,6,2,6,2,2,4,4,4,4,4,4,
8,4,4,4,4,4,4,8,8,1,1,1,2,1,1,1,1,2,2,2,3,1,1,2,3,2,1,4,1,2,2,2,3,2,2,2,3,4,2,
4,2,4,6,4,2,4,2,2,2,4,2,2,4,6,4,2,4,2,2,2,4,2,4,2,4,4,1,1,1,1,1,1,1,1,1,1,1,1,
1,2,1,2,1,1,1,1,2,1,1,2,1,1,1,1,1,2,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1],[1,3,6,6,12,16,1,1,3,1,3,6,3,2,6,3,6,12,12,6,6,16,3,3,
3,3,3,6,6,6,3,6,3,6,6,6,4,4,4,8,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,1,6,12,16,3,4,6,
6,8,12,16,1,2,2,3,3,6,6,12,4,8,3,6,6,4,8,8,1,1],[1,1,3,3,12,12,16,1,3,3,6,6,8,
8,12,12,12,12,24,24,24,16,1,3,3,6,6,8,8,12,12,12,12,24,24,24,4,8,8,3,4,6,6,12,
4,8,8,1,1,1],[1,3,12,16,1,9,3,6,16,3,3,3,6,6,6,4,1,3,3,4,3,1,1],[1,3,12,16,1,
3,3,6,6,16,3,3,3,6,6,6,4,1,3,3,4,3,1,1],[1,3,7,9,12,16,7,1,9,3,9,12,4,6,18,6,
8,12,12,12,36,16,1,1,3,3,1,2,3,3,18,6,18,6,6,12,12,12,24,24,4,4,4,8,3,3,3,4,6,
12,4,4,4,8,1,1,1],[1,1,3,3,16,1,3,3,6,6,16,1,3,3,6,6,4,3,4,4,1,1,1],[1,3,6,6,
12,16,1,3,6,3,2,2,6,12,6,6,12,12,16,3,3,3,6,6,6,6,6,12,12,4,8,8,1,3,3,6,6,4,8,
3,1,1],[1,3,3,9,16,16,1,1,3,3,3,6,4,12,12,12,20,24,18,18,18,16,1,2,3,3,3,3,1,
3,1,3,3,3,3,3,6,6,15,6,9,15,6,9,24,24,4,4,4,8,1,3,3,3,6,3,3,6,3,4,4,4,8,1,1,
1],[1,3,4,12,16,1,3,3,6,6,12,16,1,3,3,6,6,6,6,4,1,3,3,4,1,1,1],[1,3,6,6,12,16,
1,1,3,1,6,3,3,2,3,6,12,12,6,6,6,16,3,3,3,3,3,6,6,3,6,6,3,6,6,6,4,4,4,8,1,3,3,
3,3,3,3,4,4,4,3,1,1],[1,3,6,6,12,16,1,1,3,1,6,3,3,2,6,3,6,6,12,12,6,16,3,3,3,
3,3,6,3,3,6,6,6,6,6,6,4,4,4,8,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,3,6,6,12,16,1,1,3,
1,6,3,3,2,3,6,6,12,6,12,6,16,3,3,3,3,3,6,6,3,3,6,6,6,6,6,4,4,4,8,1,3,3,3,3,3,
3,4,4,4,3,1,1],[1,3,12,16,1,6,3,3,6,16,3,3,3,6,6,6,4,1,3,3,4,3,1,1],[1,3,6,6,
12,16,1,3,6,3,2,2,6,12,6,6,12,12,16,3,3,3,6,6,6,6,6,12,12,4,8,8,1,3,3,6,6,4,8,
3,1,1],[1,7,6,6,16,7,3,3,2,2,6,6,6,12,16,1,3,3,6,6,6,6,4,8,8,1,3,3,4,1,1,1],[
1,3,18,6,16,1,3,9,2,12,2,6,6,6,12,12,16,3,3,3,6,6,6,6,6,12,12,4,8,8,1,3,3,6,6,
4,8,3,1,1],[1,7,12,16,7,3,3,6,12,16,1,3,3,6,6,6,6,4,1,3,3,4,1,1,1],[1,1,6,12,
16,3,4,6,6,8,12,16,1,2,2,3,3,6,6,12,4,8,3,6,6,4,8,8,1,1],[1,3,4,6,6,16,1,3,6,
3,2,2,6,6,6,12,16,1,3,3,6,6,6,6,4,8,8,1,3,3,4,1,1,1],[1,1,3,15,12,16,1,4,3,9,
16,6,12,8,24,12,36,24,16,1,3,3,4,4,12,12,6,6,8,12,24,12,24,24,4,4,4,8,3,6,4,6,
12,4,4,4,8,1,1,1],[1,3,6,18,16,1,9,3,2,12,2,6,6,6,12,12,16,3,3,3,6,6,6,6,6,12,
12,4,8,8,1,3,3,6,6,4,8,3,1,1],[1,3,12,16,1,3,9,6,16,3,3,3,6,6,6,4,1,3,3,4,3,1,
1],[1,3,1,3,6,6,12,16,1,3,3,3,3,4,4,6,6,6,6,6,8,12,12,12,12,12,12,24,16,1,1,1,
2,3,3,3,3,6,6,6,6,6,12,12,12,12,12,24,24,4,4,4,8,3,3,3,4,6,12,4,4,4,8,1,1,1],[
1,1,3,3,16,1,3,3,12,16,1,6,6,6,4,3,4,1,1],[1,7,12,16,7,3,3,6,8,12,16,1,1,1,2,
3,3,3,3,6,6,6,4,8,3,3,3,6,4,4,4,8,1,1],[1,3,15,3,6,16,1,6,1,1,6,6,3,3,2,3,3,6,
6,6,6,6,6,16,3,3,6,3,3,3,3,6,3,6,6,6,6,6,4,4,4,8,1,3,3,3,3,3,3,4,4,4,3,1,1],[
1,3,3,15,6,16,1,1,1,6,6,3,3,6,2,3,3,6,6,6,6,6,6,16,3,6,3,3,3,6,3,3,3,6,6,6,6,
6,4,4,4,8,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,3,1,3,16,1,3,3,3,3,6,16,1,1,1,2,3,3,3,
3,6,6,6,4,3,3,3,6,4,4,4,8,1,1],[1,1,6,12,16,3,4,6,6,8,12,16,1,2,2,3,3,6,6,6,6,
4,8,3,6,6,4,8,8,1,1],[1,7,6,6,16,7,3,3,4,4,6,12,16,1,1,1,2,3,3,3,3,6,6,6,4,4,
4,3,3,3,6,4,4,4,8,1,1],[1,1,6,6,6,16,3,3,3,4,4,3,3,4,12,16,1,1,1,1,1,3,3,3,3,
3,3,3,3,3,3,4,4,4,3,3,3,3,3,4,4,4,4,4,1,1],[1,4,1,6,4,6,6,12,4,1,3,6,1,3,3,3,
3,6,9,3,3,3,6,3,3,6,6,6,6,6,6,6,6,12,12,4,4,4,4,4,4,4,1,1,3,1,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,6,6,3,6,3,3,3,3,3,3,3,3,6,6,6,1,4,4,4,4,4,4,4,1,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,1,1,1,1,1,1,1,4,3,1,1,1,1,1,1,1,1],[1,1,7,3,4,6,6,12,4,7,3,
3,4,3,3,3,6,3,6,12,6,6,6,12,12,6,6,12,12,4,4,4,4,4,4,4,1,1,1,6,6,3,3,3,3,3,3,
3,3,3,3,6,3,3,3,3,3,3,3,6,3,6,3,3,6,12,12,1,4,4,4,4,4,4,4,1,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,1,1,1,1,1,1,1,4,3,1,1,1,1,1,1,1,1],[1,4,1,6,4,6,6,12,4,6,3,4,4,6,3,
12,3,3,6,6,3,6,6,6,6,12,12,12,12,4,4,4,4,4,4,4,1,4,4,6,3,3,3,3,3,3,3,6,3,6,6,
6,6,6,6,6,6,6,6,6,12,1,4,4,4,4,4,4,4,1,3,3,3,3,3,3,6,6,6,6,1,1,1,1,1,1,1,4,3,
1,1,1,1,1,1,1,1],[1,1,6,6,6,16,3,3,3,4,4,3,3,4,12,16,1,1,1,1,1,3,3,3,3,3,3,3,
3,3,3,4,4,4,3,3,3,3,3,4,4,4,4,4,1,1],[1,3,7,9,12,12,12,24,7,1,9,3,9,12,4,6,6,
6,6,18,6,6,8,8,8,12,12,12,12,12,12,12,12,36,12,12,12,16,24,24,24,24,24,24,24,
24,24,48,48,48,1,1,3,3,1,2,2,2,2,2,3,3,3,3,3,3,4,4,18,6,18,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,24,24,24,24,24,24,24,24,24,24,24,24,24,48,48,48,48,3,3,3,3,3,3,
3,3,3,3,3,4,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,8,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,
24,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,3,3,3,6,6,6,6,6,12,12,1],[1,1,
3,15,12,12,12,1,4,3,9,16,6,6,6,6,6,12,8,8,8,24,12,36,12,12,12,24,12,24,24,24,
24,1,3,3,3,3,3,3,4,4,12,12,6,6,6,6,6,6,8,8,8,12,12,12,12,12,12,12,12,24,12,12,
24,12,12,12,24,24,24,24,24,24,24,24,3,3,6,3,3,3,3,3,4,4,4,6,6,6,6,6,6,6,6,12,
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],[1,7,7,21,28,4,4,8,7,7,21,21,21,28,28,42,2,2,2,42,2,42,56,4,84,4,
84,84,4,4,4,4,84,4,4,4,4,8,8,8,8,8,8,8,8,16,16,1,7,7,7,7,8,14,1,1,21,1,1,21,
28,28,28,28,42,42,2,42,2,2,2,2,2,2,2,42,2,42,2,2,2,56,4,4,4,4,4,84,4,4,84,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,84,4,84,84,4,4,4,84,4,4,4,4,84,4,4,4,4,4,4,4,
4,4,4,8,8,168,8,8,8,8,8,8,8,168,8,8,8,8,8,8,8,8,8,8,8,8,8,8,16,16,7,7,1,21,1,
21,21,1,1,1,1,1,1,1,1,28,28,2,2,2,2,2,2,2,2,2,2,2,42,2,2,2,2,2,2,2,2,2,2,2,2,
42,2,2,42,2,2,2,2,2,2,56,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,84,4,
84,4,4,4,4,4,4,4,4,4,84,4,4,4,4,84,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,7,7,1,1,1,1,1,1,1,1,1,21,1,1,1,28,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,8,8,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,1],[1,1,3,7,4,12,4,8,
1,3,5,4,2,6,10,2,6,8,4,4,4,4,4,12,4,8,4,4,8,8,8,8,8,8,16,16,1,1,2,2,3,5,1,3,1,
2,2,2,2,6,2,2,6,6,2,2,6,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,4,4,
4,4,4,4,4,4,4,8,8,8,8,8,3,1,1,1,1,1,3,4,2,2,2,2,6,2,2,2,2,2,2,2,6,2,2,2,2,2,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,2,
2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,1,1,1,2,2,1],[1,5,3,11,12,12,12,16,1,2,7,
10,5,8,8,12,6,2,2,6,6,8,8,8,8,8,16,8,28,20,8,12,12,12,16,8,12,8,16,16,8,24,24,
16,24,16,16,16,32,32,2,1,1,1,1,2,3,3,1,4,8,4,4,4,4,4,2,6,6,4,4,6,2,8,2,4,4,8,
8,8,12,8,12,8,8,8,12,8,8,8,8,8,4,8,12,8,8,4,8,12,4,8,8,8,8,16,4,4,16,8,8,8,4,
8,8,8,4,4,8,16,16,16,16,16,24,8,8,8,8,16,16,8,8,24,8,8,8,16,16,8,8,8,16,8,8,8,
8,8,16,16,16,8,24,32,32,1,1,2,2,1,1,1,3,1,1,1,1,1,4,4,6,4,2,2,4,2,4,6,4,2,4,4,
2,4,2,2,2,4,2,2,2,4,2,2,4,8,4,4,4,4,8,8,8,8,8,4,8,4,4,4,8,8,4,4,12,4,8,8,8,8,
4,8,4,8,8,4,8,8,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,4,16,8,8,8,8,8,16,8,8,16,8,8,
8,16,16,16,8,8,8,8,8,8,8,16,16,8,8,1,1,1,1,1,1,2,1,2,1,1,1,1,2,2,2,2,4,2,2,2,
4,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,8,4,4,8,4,4,4,4,8,4,4,4,4,8,4,4,8,4,4,4,4,4,4,
4,8,4,8,8,1,1,2,1,2,2,2,2,2,2,2,2,2,4,4,1],[1,1,3,15,12,12,4,8,1,4,3,9,16,2,2,
6,6,6,12,8,8,8,24,12,36,4,4,12,4,24,4,4,8,8,8,16,8,8,16,16,1,3,2,2,1,3,1,3,3,
4,4,12,12,4,6,2,2,2,6,2,6,2,2,2,2,6,2,2,8,4,12,4,4,8,4,4,4,4,4,4,4,4,8,4,4,4,
4,4,4,24,12,4,12,4,4,24,4,4,4,4,4,8,4,4,16,8,8,8,8,8,24,8,8,16,8,8,8,8,8,3,3,
6,1,1,1,1,1,2,4,2,2,2,4,2,6,2,2,6,2,2,2,2,2,4,2,6,2,2,2,4,2,2,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,12,4,8,4,4,4,4,4,4,4,4,8,8,8,8,8,1,1,
2,1,2,1,1,1,1,2,2,4,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,2,1,1,1,2,2,
2,2,2,1],[1,1,3,7,4,4,4,1,3,5,4,2,2,2,2,2,4,4,4,4,4,4,4,8,8,4,12,8,8,1,1,1,1,
1,1,1,2,2,4,2,2,4,4,2,2,2,6,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,1,1,1,1,2,2,1,1,
1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,2,2,2,2,2,2,2,1,1,1,1],[1,1,3,15,12,
4,4,16,1,4,3,9,16,2,2,2,6,2,12,8,8,24,8,12,36,8,4,4,4,24,8,8,4,8,16,8,8,16,1,
3,1,1,1,1,3,4,4,12,12,4,6,4,2,2,4,4,4,4,6,2,2,4,4,8,4,8,12,8,8,4,4,4,8,4,4,8,
24,12,4,8,8,24,4,4,8,4,4,8,8,8,8,16,8,24,16,8,8,8,16,16,8,8,8,1,2,3,6,1,1,2,2,
1,1,1,2,4,2,4,6,4,2,2,4,2,2,2,2,4,4,8,4,4,4,4,4,4,8,4,4,4,4,4,4,4,4,4,8,8,12,
8,8,4,4,4,4,4,8,4,8,8,8,16,8,1,1,1,1,1,2,1,2,1,2,2,2,2,2,2,2,2,4,2,4,2,2,4,2,
2,2,2,2,4,4,4,4,4,8,1,2,1,1,2,2,2,2,2,1],[1,3,7,9,12,12,12,8,7,1,9,3,9,12,4,6,
6,2,2,18,6,6,8,8,8,4,12,4,12,12,4,12,12,12,36,4,12,12,4,8,8,8,24,24,8,24,8,8,
8,16,16,1,1,3,3,1,2,1,1,3,3,3,3,18,6,2,18,6,6,6,6,2,6,2,6,2,6,2,2,2,8,8,12,4,
12,4,4,4,12,4,4,4,4,4,4,12,4,4,4,4,12,4,4,4,4,4,12,4,4,4,4,12,4,4,4,4,12,4,4,
4,4,4,12,4,4,12,4,12,4,4,4,4,8,8,24,8,8,8,24,8,8,8,24,24,8,8,8,8,8,8,8,8,24,
16,16,3,1,3,1,3,1,3,3,1,1,1,4,4,6,2,2,6,6,6,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,6,
6,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,4,4,4,12,4,4,4,4,4,4,4,4,4,
12,4,4,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,8,1,1,1,3,
1,1,1,1,1,1,3,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,3,7,4,4,4,16,1,3,5,4,2,2,2,2,2,4,4,8,4,4,8,
4,4,4,8,8,4,12,16,8,8,16,16,1,1,1,1,1,1,1,2,2,2,2,4,4,2,2,2,6,4,4,8,4,4,8,4,4,
4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,1,2,1,1,1,2,1,1,1,2,2,2,2,2,2,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,1,1,1,2,2,1],[
1,1,3,7,4,12,4,8,1,3,5,4,2,2,6,2,6,8,4,4,4,4,4,4,12,4,8,12,4,4,8,8,8,8,8,16,
16,16,1,1,2,2,1,3,1,3,1,2,2,2,4,2,2,4,6,6,2,2,2,2,2,2,6,2,2,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,12,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,3,1,1,1,2,1,1,
1,2,2,2,2,6,2,2,2,2,2,2,2,2,6,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,
4,4,1,1,1,2,2,1],[1,1,3,7,4,12,20,8,1,3,5,4,10,6,2,2,6,8,8,8,4,4,4,4,20,12,12,
8,4,12,8,8,8,24,24,8,24,8,16,16,16,1,1,2,2,3,1,5,3,1,2,2,6,6,6,2,2,2,2,2,2,2,
6,2,8,8,12,12,4,4,4,4,4,4,4,4,12,4,4,4,12,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,8,8,8,24,8,24,8,8,8,8,8,8,24,8,16,16,16,16,1,1,1,3,1,3,1,4,2,6,6,6,2,2,2,6,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,16,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,1,3,7,4,4,12,8,1,3,5,4,6,10,
6,2,2,8,4,4,4,4,12,4,4,8,4,4,8,8,8,8,8,8,16,16,1,1,2,2,5,3,3,1,1,2,2,2,2,6,2,
2,2,2,6,2,6,6,2,4,4,4,4,4,4,4,4,4,4,4,4,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,8,8,8,8,8,1,1,1,1,1,3,3,4,2,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,2,2,2,2,2,2,2,
2,2,2,2,4,4,4,4,4,4,4,4,1,1,1,2,2,1],[1,1,3,7,4,12,12,1,3,5,4,6,2,2,2,6,8,8,4,
4,4,12,12,12,8,12,8,16,24,24,24,1,1,1,1,3,3,1,2,6,6,2,2,2,4,8,8,12,12,4,4,12,
4,12,4,4,4,4,4,8,8,24,8,8,24,8,8,8,8,24,1,1,1,3,2,1,1,1,4,6,6,2,2,2,2,4,4,4,4,
12,4,4,4,4,4,4,4,4,4,8,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,1,1,1,2,2,1],[1,1,3,7,
4,20,12,8,1,3,5,4,6,2,6,2,10,8,8,8,4,4,4,4,12,20,12,8,4,12,8,8,8,8,24,24,24,8,
16,16,16,1,1,2,2,1,3,3,5,1,2,2,6,6,6,2,2,2,2,2,2,6,2,2,8,8,12,12,4,4,4,4,4,4,
4,4,4,4,4,4,4,12,4,12,4,4,4,4,12,4,4,4,4,4,4,4,4,4,4,8,8,8,24,8,8,24,8,8,8,8,
8,24,8,16,16,16,16,3,1,1,3,1,1,1,4,2,6,2,2,2,6,2,6,2,2,2,2,2,2,2,2,6,2,2,2,2,
2,4,4,4,4,4,4,4,4,4,4,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,
8,8,8,8,8,8,16,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,
4,1,1,1,2,2,2,2,4,1],[1,1,3,15,12,4,4,1,4,3,9,16,2,2,2,6,2,12,8,24,12,36,4,4,
4,24,4,8,8,16,1,3,1,1,1,1,3,4,4,12,12,6,2,2,6,2,2,8,4,12,4,4,4,4,24,12,4,24,4,
4,4,8,8,8,24,8,8,8,8,8,1,3,6,1,1,1,1,1,4,6,2,2,2,4,4,4,4,4,4,4,4,12,4,4,4,4,4,
4,8,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,4,1],[1,1,3,7,4,4,4,1,3,5,4,2,6,6,2,2,
4,4,4,4,4,4,8,4,8,16,8,16,1,1,3,3,1,1,1,2,2,2,2,6,6,4,4,4,4,4,4,4,4,4,4,4,8,8,
8,8,8,8,1,1,1,1,2,1,1,3,4,2,2,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,2,2,2,2,2,2,2,
1,1,1,1],[1,5,3,11,12,4,4,1,2,7,10,5,8,8,12,2,2,2,6,2,8,8,4,16,28,20,4,4,4,16,
4,4,8,16,2,1,1,1,1,2,1,1,1,4,8,4,4,4,4,2,2,2,2,6,2,8,2,2,8,4,4,4,12,4,8,4,4,4,
4,4,4,8,4,16,4,4,16,8,4,4,4,4,16,8,8,8,8,8,1,1,2,1,1,1,1,1,1,1,1,1,4,2,2,2,2,
2,2,2,2,2,2,2,4,4,4,4,4,8,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,
2,1,1,1,2,2,1],[1,1,3,7,4,4,4,1,3,5,4,2,2,2,2,2,12,4,4,4,4,4,4,8,8,4,4,8,8,1,
1,1,1,1,1,1,6,2,4,2,2,4,4,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,1,1,1,1,2,
1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,2,2,2,2,2,2,2,1,1,1,1],[1,3,7,
9,12,4,4,24,7,1,9,3,9,12,4,6,2,6,6,18,2,6,8,4,12,12,12,12,12,4,4,4,36,12,4,4,
4,8,24,8,8,8,24,8,8,16,16,1,1,3,3,1,2,3,3,3,1,1,3,18,6,2,18,2,2,2,2,6,2,6,6,6,
6,6,2,6,4,12,4,12,4,4,4,4,4,4,12,12,4,4,12,4,12,4,4,4,12,4,4,4,12,4,4,4,4,4,4,
4,4,4,4,4,4,12,8,24,8,8,8,24,8,8,8,8,24,8,8,8,8,8,8,8,8,24,8,8,8,16,16,3,1,3,
3,3,1,1,1,1,1,3,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,6,2,2,2,2,6,6,2,2,6,6,2,2,6,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,4,4,4,4,4,12,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,12,4,4,4,4,12,8,8,8,8,1,1,1,3,3,1,1,1,1,1,1,4,4,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,
5,3,11,12,12,4,8,1,2,7,10,5,8,8,12,2,2,6,6,6,8,8,8,4,16,28,20,4,4,12,4,16,4,4,
12,8,8,8,8,8,8,16,16,2,1,1,2,2,1,3,2,1,3,1,4,8,4,4,4,4,2,2,2,2,2,6,2,6,2,8,2,
2,6,2,6,2,2,8,4,4,12,12,4,4,4,8,4,4,4,4,4,4,4,4,4,4,4,12,4,4,4,4,8,4,16,4,4,
12,16,4,4,8,4,4,4,4,4,4,4,4,4,4,8,16,8,8,8,8,8,8,8,8,8,8,8,8,1,3,2,1,1,1,1,3,
1,1,1,1,4,2,2,2,2,6,2,6,2,2,2,2,2,2,2,6,2,2,2,2,2,2,6,2,2,2,2,2,2,2,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,
8,8,1,3,1,1,1,1,1,1,1,1,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,
1,1,1,1,1,1,1,2,2,2,2,1],[1,1,3,7,4,12,4,24,1,3,5,4,2,2,6,2,6,8,4,4,8,4,4,12,
4,12,4,8,8,4,4,4,8,8,24,8,16,8,16,16,1,1,2,2,1,3,1,3,1,2,2,2,2,2,6,4,2,4,2,2,
2,2,2,2,6,2,6,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,4,12,4,4,4,4,4,4,4,4,4,
4,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,3,2,1,1,1,1,1,1,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,
6,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,8,8,8,8,8,8,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,
4,4,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,1,3,7,4,4,4,1,3,5,4,2,6,6,2,2,8,4,4,4,4,4,4,
8,4,16,8,16,1,1,3,3,1,1,1,4,2,2,2,2,6,6,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,1,1,1,
1,1,1,3,2,4,2,2,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,2,2,2,2,2,2,2,1,1,1,1],[1,1,
3,7,4,4,12,24,1,3,5,4,6,6,2,2,2,8,4,4,8,4,4,12,12,4,4,8,8,4,4,4,8,24,8,8,16,8,
16,16,1,1,2,2,3,1,3,1,1,2,2,2,2,2,6,2,4,2,2,4,2,2,2,2,6,2,6,4,8,4,4,4,4,4,4,4,
4,4,4,12,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
1,2,1,1,1,1,3,1,2,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,1,1,1,
1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,2,2,2,2,4,1],[
1,5,3,11,12,4,12,8,1,2,7,10,5,8,8,12,6,6,2,6,2,8,8,8,12,16,28,20,4,12,4,4,16,
4,4,4,8,8,8,8,8,8,16,16,2,1,1,2,2,3,1,2,3,1,1,4,8,4,4,4,4,6,2,2,2,2,6,2,2,2,6,
2,2,8,2,6,2,2,8,4,4,4,12,4,4,4,8,4,4,4,4,4,4,4,4,4,4,12,4,4,4,4,8,12,16,4,4,4,
4,16,4,4,8,4,4,4,4,12,4,4,4,4,4,8,16,8,8,8,8,8,8,8,8,8,8,8,8,1,1,2,1,1,1,1,1,
1,3,1,3,4,2,6,6,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,
8,8,1,1,3,1,3,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,
1,1,1,1,1,1,1,2,2,2,2,1],[1,1,3,15,12,4,4,1,4,3,9,16,2,2,2,6,2,12,8,24,12,36,
4,4,4,24,4,8,8,16,1,3,1,1,1,1,3,4,4,12,12,6,2,2,6,2,2,8,4,12,4,4,4,4,24,12,4,
24,4,4,4,8,8,24,8,8,8,8,8,8,1,3,6,1,1,1,1,1,4,6,2,2,2,4,4,4,4,4,4,4,4,12,4,4,
4,4,4,4,8,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,4,1],[1,3,7,9,12,4,4,8,7,1,9,3,
9,12,4,6,2,2,2,18,2,6,8,12,4,12,12,4,4,4,4,36,4,4,4,8,8,8,8,8,8,8,16,16,1,1,3,
3,1,2,1,1,3,1,1,3,18,6,18,2,2,2,2,2,2,2,6,2,6,2,2,4,4,4,12,4,4,4,4,4,4,4,4,4,
4,4,4,4,12,4,4,4,12,4,4,4,4,4,4,4,4,4,4,4,8,24,8,8,8,24,8,8,8,8,8,16,16,3,1,3,
1,3,1,1,1,1,1,1,4,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,4,4,4,4,4,4,4,4,4,12,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,
2,2,4,4,4,4,4,4,4,4,1,1,1,2,2,1],[1,1,3,7,4,12,12,1,3,5,4,6,2,2,2,6,8,8,8,4,4,
4,12,12,12,8,12,16,24,24,24,1,1,1,1,3,3,1,4,2,6,6,2,2,2,8,8,12,12,4,4,12,4,12,
4,4,4,4,4,8,8,24,8,24,8,8,8,8,8,24,1,1,1,3,1,1,1,2,4,6,6,2,2,2,2,4,4,4,12,4,4,
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],[1,5,3,11,12,4,
4,1,2,7,10,5,8,8,12,2,2,2,6,2,8,8,4,16,28,20,4,4,4,16,4,4,8,16,2,1,1,1,1,2,1,
1,1,4,8,4,4,4,4,2,2,2,2,6,2,8,2,2,8,4,4,4,12,4,8,4,4,4,4,4,4,8,4,16,4,4,16,8,
4,4,4,4,16,8,8,8,8,8,1,1,2,1,1,1,1,1,1,1,1,1,4,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,
4,4,4,8,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,1,1,1,2,2,1],[1,5,3,
11,12,4,4,1,2,7,10,5,8,8,12,2,6,6,6,2,8,8,8,16,28,20,4,4,4,16,8,4,8,8,8,2,1,1,
3,3,2,1,1,1,4,8,4,4,4,4,4,2,4,2,2,4,4,6,6,8,6,4,8,4,4,4,12,4,8,8,4,4,4,4,4,4,
4,4,8,8,4,16,4,8,4,8,16,8,8,4,4,8,4,4,4,16,8,8,8,8,8,8,1,1,2,1,1,1,1,2,1,1,1,
3,1,4,4,4,4,4,4,4,2,4,2,4,2,4,2,4,2,4,2,4,2,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,
8,4,4,4,4,4,4,4,4,4,4,4,4,8,1,1,1,2,1,1,2,1,1,1,1,1,1,2,2,2,4,2,2,2,2,2,2,2,4,
4,4,4,4,4,4,4,4,2,1,1,1,2,2,2,2,2,1],[1,3,7,9,12,4,4,8,7,1,9,3,9,12,4,6,2,2,2,
18,2,6,8,12,4,12,12,4,4,4,4,36,4,4,4,8,8,8,8,8,8,8,16,16,16,16,1,1,3,3,1,2,1,
1,3,1,1,3,18,6,18,2,2,2,2,2,2,2,6,2,6,2,2,4,4,4,12,4,4,4,4,4,4,4,4,4,4,4,4,4,
12,4,4,4,12,4,4,4,4,4,4,4,4,4,4,4,8,24,8,8,8,8,24,8,8,8,8,8,8,8,8,16,16,3,1,3,
1,3,1,1,1,1,1,1,4,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,16,1,1,1,1,1,1,1,2,2,2,2,2,
2,2,2,2,2,4,4,4,4,4,4,4,4,1,1,1,2,2,1],[1,3,7,9,12,4,4,8,7,1,9,3,9,12,4,6,2,2,
2,18,2,6,8,8,12,4,12,12,4,4,4,4,36,4,4,4,8,8,8,16,8,8,8,8,8,16,16,1,1,3,3,1,2,
1,1,3,1,1,3,18,6,4,18,2,2,2,2,2,2,2,6,2,6,2,4,2,4,4,4,12,4,4,4,4,4,8,4,4,4,4,
4,4,4,8,8,4,12,4,4,4,12,4,4,4,4,4,4,8,4,4,4,4,8,4,8,24,8,8,16,8,24,8,16,8,16,
16,8,16,16,3,1,3,1,3,1,1,1,2,1,1,1,2,4,2,2,2,2,2,2,2,2,2,4,4,2,2,4,4,2,2,6,2,
2,2,4,2,2,8,4,4,4,4,4,4,8,4,4,4,12,4,4,4,8,4,8,4,4,4,8,4,4,4,4,4,4,4,4,4,8,4,
8,16,1,1,1,1,1,1,1,1,1,1,2,2,1,2,4,2,2,4,2,2,4,2,4,2,2,2,2,4,4,4,4,8,1,1,2,1,
2,2,2,2,2,1],[1,1,3,7,4,4,4,16,1,3,5,4,2,2,2,2,2,12,4,8,4,4,8,4,4,4,8,8,4,4,
16,8,8,16,16,1,1,1,1,1,1,1,6,2,2,2,4,4,2,2,2,2,4,4,8,4,4,8,4,4,4,4,4,4,4,4,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,1,2,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,8,8,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,1,1,1,2,2,1],[1,1,3,7,4,4,
12,8,1,3,5,4,6,6,2,2,2,8,4,4,4,4,4,12,4,4,8,12,4,4,8,8,8,8,8,16,16,16,1,1,2,2,
3,1,3,1,1,2,2,2,4,2,2,6,2,4,6,2,2,2,2,2,6,2,2,4,4,4,4,4,4,4,4,4,4,4,4,12,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,1,1,1,1,2,1,3,1,2,6,6,2,2,2,
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,
4,4,4,4,4,4,4,4,8,8,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,1,1,1,2,2,
1],[1,1,3,15,12,4,12,8,1,4,3,9,16,6,6,2,6,2,12,8,8,24,12,36,4,12,4,4,24,4,4,8,
8,8,16,8,8,8,16,16,1,3,2,2,3,1,3,1,3,4,4,12,12,6,2,2,2,6,2,2,2,6,2,2,2,6,4,2,
8,4,8,12,4,4,4,4,8,4,4,4,4,4,4,12,4,4,4,4,24,12,4,4,4,4,4,24,4,4,4,4,4,4,4,8,
8,8,16,8,24,8,8,8,16,8,8,8,8,8,8,1,3,6,1,1,2,1,3,1,4,2,6,6,2,2,2,6,2,2,4,4,2,
2,4,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,4,4,12,4,
4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,1,1,1,1,1,1,2,1,2,2,2,2,2,2,2,2,2,2,2,4,2,2,
4,2,2,2,2,4,4,4,4,4,4,4,4,1,1,1,2,2,2,2,2,2,1],[1,5,3,11,12,4,4,16,1,2,7,10,5,
8,8,12,2,2,2,6,2,8,8,4,16,8,28,20,8,4,4,4,16,8,8,4,4,8,16,16,8,8,16,8,8,16,16,
2,1,1,1,1,2,1,1,1,4,8,4,4,4,4,2,2,4,2,2,4,4,4,4,6,2,8,2,2,4,8,4,8,4,2,2,12,4,
2,8,4,4,4,2,8,2,2,4,8,4,8,4,4,8,2,16,4,4,4,16,4,4,4,4,8,4,2,4,8,4,8,16,8,8,4,
4,8,8,4,8,4,12,8,12,12,4,8,4,4,8,4,8,4,8,4,8,8,4,8,12,16,16,1,2,2,1,1,1,2,1,4,
2,1,1,2,2,2,2,2,1,2,2,1,2,2,2,1,2,1,2,2,1,2,1,2,2,4,2,2,2,4,6,2,2,4,2,4,2,4,2,
2,6,2,2,6,2,2,6,2,2,4,2,2,2,8,2,4,2,4,4,4,6,4,2,4,4,4,4,2,4,4,2,6,4,6,4,6,2,4,
2,4,4,4,4,4,8,4,4,4,4,4,4,4,4,4,4,4,12,4,4,8,4,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,
1,1,1,1,2,2,1,2,3,3,1,2,3,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,4,4,2,2,4,4,1,
1,1,1,2,1,1,1,1,1,1,1,1,1,1],[1,4,1,6,4,4,16,8,6,3,4,4,6,6,6,8,4,14,12,14,2,4,
4,2,4,4,8,4,4,4,8,8,8,8,8,1,2,2,3,3,4,4,6,6,6,6,2,2,2,4,2,4,2,12,2,2,4,12,14,
4,4,4,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,1,3,3,6,6,1,6,1,6,1,1,2,2,2,2,2,
2,2,2,2,2,2,2,2,4,2,4,4,4,4,4,4,4,4,4,4,4,1,3,3,1,1,1,1,2,2,2,2,2,2,2,2,2,2,1,
1,1,1,1,1,1,1],[1,1,10,4,16,4,8,2,3,8,6,6,2,4,8,6,4,12,2,14,4,4,4,2,8,4,12,4,
8,8,4,4,8,8,8,1,2,2,3,3,4,2,2,6,6,2,2,4,4,2,2,6,4,4,2,2,4,2,12,4,4,12,4,4,4,4,
4,4,4,4,4,8,4,4,4,4,4,4,8,4,4,4,8,8,8,3,1,1,1,2,1,6,1,2,1,6,2,2,2,2,2,4,2,2,2,
2,2,2,2,4,2,2,4,2,4,4,4,4,4,4,4,4,4,4,4,1,1,1,2,1,2,1,1,1,2,2,2,2,2,2,2,2,2,2,
1,1,1,1,1,1,1,1],[1,1,7,3,4,16,16,8,7,3,3,4,8,2,2,6,8,8,4,4,8,4,12,12,12,12,
16,12,4,4,4,24,24,4,32,8,4,4,16,8,8,8,8,1,1,1,1,1,3,3,2,6,6,1,1,6,6,8,1,8,1,6,
2,2,2,3,2,2,2,3,8,8,12,12,4,2,2,2,4,4,2,2,2,12,2,12,2,2,2,4,2,12,6,4,2,2,2,4,
2,2,2,2,16,2,12,16,2,2,2,4,4,4,4,24,24,4,4,4,4,4,4,24,4,4,8,8,8,8,8,8,8,8,8,8,
1,3,3,4,1,1,1,6,2,6,1,6,8,6,1,1,3,1,1,1,3,1,6,2,2,4,2,2,2,2,2,2,2,2,4,12,4,2,
2,2,12,2,2,2,2,6,4,2,2,2,2,2,2,2,2,2,12,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,4,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,8,8,1,1,3,3,4,4,1,2,1,1,1,1,1,1,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,
1],[1,3,7,9,12,4,4,8,7,1,9,3,9,12,4,6,2,2,2,18,2,6,8,8,12,4,12,12,4,4,4,4,36,
4,4,4,8,8,16,8,8,1,1,3,3,1,2,1,1,3,1,1,3,18,6,4,18,2,2,2,2,2,2,2,6,2,6,2,4,2,
4,4,2,2,12,2,2,4,4,8,2,4,4,2,4,4,4,8,8,12,2,12,4,4,8,4,2,4,8,4,4,24,4,4,8,4,4,
4,24,4,4,4,4,4,8,4,4,8,4,8,4,8,4,3,3,1,3,1,1,1,1,1,4,1,1,2,2,2,2,1,2,4,1,2,2,
2,1,1,2,2,1,2,2,1,6,2,2,4,2,2,2,4,2,2,2,2,2,4,2,6,2,2,4,8,2,2,6,2,2,2,4,2,2,2,
2,4,2,4,12,2,4,2,4,2,4,4,2,4,2,2,4,2,2,8,2,2,4,4,4,4,8,1,1,1,1,1,1,1,1,1,1,2,
4,1,1,1,1,2,1,1,1,3,2,1,2,1,1,2,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,4,1,6,4,4,8,16,6,3,4,4,2,2,6,4,6,12,4,6,2,
4,4,4,2,8,12,12,8,4,4,4,8,8,8,8,8,1,1,1,4,4,2,2,2,2,2,2,6,2,2,2,4,2,4,2,4,4,2,
4,2,2,4,4,4,4,6,4,4,4,4,4,8,4,4,4,4,4,12,4,8,4,4,4,4,4,4,4,4,8,8,8,1,1,1,2,1,
2,2,1,2,2,1,1,2,2,2,2,4,2,2,2,4,2,2,4,4,2,2,2,2,2,4,2,4,4,4,4,4,4,4,4,4,4,4,1,
1,1,1,1,1,2,2,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,4,1,6,4,16,4,8,6,3,4,
4,6,6,6,4,8,2,12,2,14,4,4,14,4,4,4,8,4,4,8,8,8,8,8,1,2,2,3,3,4,4,6,6,6,6,2,2,
4,12,2,2,14,2,2,4,12,4,2,4,4,4,4,4,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,1,3,3,
1,6,1,6,1,6,1,6,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,4,4,4,4,4,4,4,4,4,4,4,1,3,3,1,1,
1,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,3,5,4,16,16,16,1,1,5,3,3,4,2,8,
2,2,2,8,2,8,4,4,8,4,8,4,4,8,12,12,16,4,8,4,16,4,8,12,12,16,8,24,24,16,24,8,16,
16,24,16,16,8,8,1,1,1,1,1,3,3,2,2,2,2,3,3,2,8,6,1,2,1,4,2,2,1,2,2,2,2,2,2,1,2,
8,8,12,4,12,8,4,4,2,2,4,4,2,2,6,8,4,4,2,2,4,4,4,2,12,2,2,4,4,2,2,4,4,12,4,2,4,
8,4,2,4,4,4,4,2,2,2,4,2,2,4,2,4,2,8,2,2,4,8,4,8,8,12,8,24,8,8,24,8,8,12,8,4,4,
4,8,12,16,8,4,24,4,12,8,8,8,8,8,16,24,8,16,8,24,8,1,1,3,4,1,1,1,6,2,2,1,2,6,3,
1,2,1,1,2,2,2,1,2,2,1,1,3,4,2,2,4,2,4,2,4,2,4,2,2,4,4,4,2,4,4,2,2,4,2,2,12,2,
4,4,4,2,2,2,2,2,4,2,2,4,2,4,2,4,2,2,2,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,
2,2,2,2,4,2,4,6,2,2,4,2,2,4,2,2,4,8,4,4,4,4,4,4,8,8,4,8,8,8,4,4,8,4,4,4,8,4,4,
12,4,4,4,8,8,8,1,1,1,1,1,1,2,2,2,1,1,1,1,1,4,2,4,2,2,2,2,2,4,2,4,4,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,3,3,5,
4,4,4,8,1,1,5,3,3,4,2,2,8,8,2,2,2,4,4,4,4,4,4,4,4,8,4,4,8,8,8,8,1,1,1,1,3,3,1,
2,2,2,2,4,2,2,1,2,2,2,2,3,2,6,2,2,8,1,1,2,3,1,2,4,4,2,8,2,4,4,2,4,2,2,2,4,2,2,
4,2,2,2,4,4,4,2,4,2,4,8,2,2,4,2,2,4,2,2,6,4,2,2,2,4,4,8,1,1,3,4,2,2,1,1,2,2,2,
1,2,2,3,1,2,1,4,3,1,2,1,2,2,1,2,1,2,1,4,2,2,2,2,2,4,2,2,2,2,2,2,2,2,4,2,2,2,2,
2,4,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,4,2,2,2,2,2,1,
1,1,1,1,1,1,2,1,2,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,
1,1,1],[1,3,3,5,4,4,4,24,1,1,5,3,3,4,2,2,4,4,2,2,2,12,4,4,12,4,4,12,8,4,8,16,
8,8,16,8,8,1,1,1,1,1,1,1,2,2,2,4,2,2,1,2,2,6,2,3,4,2,2,2,2,4,1,1,3,1,2,4,8,4,
4,2,8,2,4,4,2,4,2,4,2,2,4,2,2,4,2,8,2,2,4,4,4,2,4,2,4,8,2,2,4,2,2,2,2,6,4,2,4,
2,2,8,8,8,8,4,4,8,8,8,1,2,1,1,2,2,1,1,1,2,2,3,1,1,4,3,1,2,1,2,1,1,2,2,2,1,4,4,
4,2,4,2,2,2,2,4,2,2,2,2,2,2,2,2,4,2,2,2,2,2,4,2,2,2,4,2,2,2,2,2,4,2,2,2,2,2,2,
2,2,2,2,4,2,2,2,2,2,2,2,6,4,4,2,2,4,2,4,2,4,2,2,2,2,4,4,8,4,4,4,4,4,4,1,1,1,1,
1,1,1,1,2,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,4,2,2,2,2,2,
2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,3,3,5,4,8,8,16,1,1,5,3,3,4,2,4,2,2,2,4,2,4,4,
8,4,4,8,4,4,8,4,8,12,8,8,12,12,16,8,8,16,8,8,16,16,24,16,16,8,8,1,1,1,1,1,1,1,
2,2,2,3,3,6,4,2,1,2,4,1,4,4,2,2,1,2,2,2,2,2,1,2,4,4,8,2,2,4,2,2,6,8,4,2,2,4,4,
2,2,2,4,2,2,4,4,4,4,2,4,8,2,4,4,4,4,2,2,2,2,2,2,2,8,2,4,2,4,8,4,8,8,12,8,8,12,
8,4,4,4,12,16,4,4,12,16,24,16,24,1,1,1,2,1,1,1,2,2,1,2,3,1,2,1,1,2,1,2,2,1,1,
3,4,2,2,4,2,2,4,2,2,2,4,2,2,2,2,2,2,4,4,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,4,2,2,
2,2,2,2,2,4,2,2,2,2,4,2,2,2,2,2,2,2,4,2,6,2,2,4,2,2,4,2,2,4,8,8,4,12,8,1,1,1,
1,1,1,2,1,1,1,2,1,2,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,
1],[1,5,3,11,12,4,4,16,1,2,7,10,5,8,8,12,2,2,2,6,2,8,8,4,16,4,28,20,8,4,4,16,
4,8,4,8,8,8,4,16,16,4,8,4,4,8,8,8,2,1,1,1,1,2,1,1,1,2,4,8,4,4,2,4,4,2,2,2,2,2,
2,2,2,4,2,2,6,2,8,2,2,2,2,4,8,4,4,12,2,8,8,2,4,2,2,2,2,4,2,4,2,2,4,2,4,2,4,6,
6,4,2,2,4,8,4,16,4,2,4,2,4,16,2,2,8,4,8,2,2,2,4,2,2,2,8,2,4,4,4,16,4,4,4,4,4,
16,8,8,16,4,4,4,4,4,4,4,4,4,8,8,8,1,1,2,1,1,1,1,1,1,1,4,1,2,1,2,1,2,1,1,2,2,2,
4,2,2,2,2,2,1,1,2,4,1,4,2,8,2,2,4,2,4,2,2,2,8,2,4,4,6,2,2,2,2,2,2,2,4,8,2,2,4,
2,2,2,2,2,2,2,4,2,2,2,4,2,4,2,2,2,2,4,2,2,4,2,2,2,4,2,2,6,2,2,2,2,2,2,2,2,2,2,
2,2,4,4,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,2,
2,1,1,1,2,4,2,1,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1],[1,1,10,4,4,16,8,2,3,8,6,6,2,8,4,2,4,12,14,2,4,4,4,6,8,4,12,8,
4,8,4,4,8,8,8,1,2,2,3,3,4,2,6,6,2,2,2,4,6,2,2,4,4,12,2,2,4,2,4,4,4,4,4,4,4,4,
4,12,4,4,4,4,4,8,8,4,4,4,4,4,4,4,8,8,8,1,1,3,6,6,1,2,1,2,2,1,1,2,2,2,2,2,2,2,
2,2,4,2,4,2,2,4,2,2,4,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,2,2,1,1,2,2,2,2,2,2,2,2,2,
2,1,1,1,1,1,1,1,1],[1,1,3,15,12,4,4,16,1,4,3,9,16,2,2,2,6,2,12,8,8,24,4,12,36,
8,4,4,24,4,8,8,8,8,8,4,16,8,4,8,4,4,8,8,8,1,3,1,1,1,1,3,2,4,4,12,2,12,4,6,2,2,
2,2,2,2,4,2,2,6,2,2,4,2,2,4,8,4,4,12,2,8,4,2,4,2,2,2,4,2,4,2,4,2,2,4,2,2,4,6,
6,4,2,2,4,24,12,2,4,2,4,2,2,8,4,24,2,2,4,2,2,2,2,4,2,4,4,4,4,4,4,12,4,24,8,12,
4,4,4,4,12,4,12,4,8,8,8,1,1,3,6,1,2,1,2,4,1,2,1,2,1,2,1,1,6,2,2,2,2,2,2,2,2,1,
2,1,4,1,4,2,4,2,2,2,2,2,6,2,4,4,6,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,4,2,2,4,2,
2,4,2,2,2,2,12,6,2,4,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,6,6,2,4,4,
4,4,4,4,4,8,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,2,1,2,2,1,1,1,2,3,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1],[1,4,1,6,4,8,
4,16,6,3,4,4,2,2,6,4,2,12,4,2,6,4,4,4,6,8,12,12,4,8,4,4,8,8,8,8,8,1,1,1,4,4,2,
2,6,2,2,2,2,2,2,2,4,4,4,2,4,2,6,2,2,4,4,4,4,2,4,4,4,4,4,4,4,4,8,12,4,8,4,4,4,
4,4,4,4,4,4,4,4,8,8,8,1,1,1,1,2,1,1,2,2,2,1,2,2,4,2,4,2,2,2,2,2,4,2,2,2,2,2,4,
2,4,2,2,4,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,
1,1,1],[1,1,10,4,8,4,16,2,3,8,2,2,2,4,6,4,12,4,2,6,4,4,4,4,10,8,8,12,4,4,8,8,
4,4,8,8,8,1,1,1,4,2,2,2,2,2,4,2,2,2,2,2,4,4,2,2,4,6,4,4,4,2,2,4,2,4,4,4,4,4,4,
4,4,4,4,4,4,4,8,4,4,12,4,4,4,4,8,4,4,4,8,8,8,1,1,2,1,1,2,1,1,2,1,2,2,2,4,2,2,
2,2,4,2,2,2,2,2,4,2,2,2,2,4,2,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,2,2,1,1,2,2,2,
2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,10,4,4,8,16,2,3,8,2,2,2,4,10,4,12,4,6,2,4,
4,4,4,6,8,8,12,4,8,4,8,4,4,8,8,8,1,1,1,4,2,4,2,2,2,2,2,2,2,2,2,4,6,2,4,2,4,4,
4,4,2,2,4,2,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,8,4,4,4,4,12,4,4,8,8,8,1,1,1,2,
2,1,1,2,2,2,1,1,2,2,2,2,2,2,2,2,2,2,4,4,2,4,4,2,2,2,4,2,4,4,4,4,4,4,4,4,4,4,4,
1,1,1,1,1,2,1,2,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,7,3,4,8,8,8,7,3,3,
4,4,2,2,6,4,4,4,4,4,4,4,4,12,8,4,4,4,4,4,8,4,16,8,4,4,16,8,8,8,8,1,1,1,1,1,1,
1,2,6,2,6,1,1,2,2,4,1,4,1,2,2,2,2,3,2,2,2,2,3,4,4,2,2,2,4,4,2,2,2,4,4,4,2,2,2,
2,4,2,4,6,4,4,4,2,2,2,4,2,2,2,2,4,8,2,4,4,8,2,2,2,4,4,4,4,4,4,4,4,4,4,8,4,4,4,
8,8,1,1,1,1,1,1,2,2,1,2,4,1,1,2,3,1,2,1,2,1,3,1,2,2,2,2,4,2,2,2,2,2,2,4,2,4,2,
4,4,2,2,2,4,2,2,2,2,6,4,2,2,2,4,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,4,2,2,4,2,2,2,4,4,4,4,1,1,1,1,2,1,2,1,1,2,1,1,1,1,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,7,3,4,4,4,16,7,3,3,4,2,4,4,6,
2,4,4,8,12,4,4,4,8,8,8,4,8,8,4,8,16,4,4,8,8,8,1,1,1,1,1,1,1,2,6,2,6,2,2,2,2,3,
2,2,2,1,4,4,2,3,1,2,1,1,2,4,2,2,2,2,2,2,2,4,4,4,4,4,4,4,2,2,2,4,4,8,4,4,2,2,2,
2,2,2,2,2,6,4,2,4,4,4,2,2,4,8,2,4,4,8,8,8,8,1,1,1,1,1,2,1,2,1,2,3,2,2,1,2,1,1,
1,3,2,1,2,4,2,1,2,2,2,2,2,2,2,4,2,4,2,4,2,2,2,2,2,2,2,4,2,2,2,2,2,2,4,2,2,2,2,
2,2,4,2,4,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,4,6,2,2,4,2,1,1,1,1,2,2,
1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,
1,7,3,4,4,4,32,7,3,3,4,2,8,8,6,2,12,16,12,12,4,8,8,8,4,24,4,8,32,4,4,8,8,8,1,
1,1,1,1,3,3,2,6,6,2,2,2,2,3,2,2,6,1,8,8,6,3,1,1,1,6,12,2,2,2,2,2,2,2,4,4,4,12,
4,12,2,2,2,4,12,16,2,2,2,2,2,2,2,2,6,4,2,4,4,2,2,16,2,24,4,4,24,8,8,8,8,1,3,3,
4,1,1,1,2,1,2,3,2,1,6,1,1,6,1,3,1,6,8,6,1,6,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,4,
2,2,2,2,2,2,4,2,2,2,2,2,2,4,2,12,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,12,2,2,6,
2,12,2,4,2,4,4,4,4,4,4,4,4,1,1,3,3,4,4,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,21,28,7,7,21,
28,8,21,7,7,8,7,7,1],[1,7,28,7,28,8,1,7,8,7,1,1],[1,21,28,7,7,21,28,8,21,7,7,
8,7,7,1],[1,7,28,7,28,8,1,7,8,7,1,1],[1,1,7,3,4,12,12,16,7,3,3,4,6,6,6,8,8,12,
12,12,12,12,12,24,24,24,16,16,16,1,1,1,3,3,6,6,6,6,6,6,6,8,8,12,12,12,12,12,
12,12,12,24,24,24,4,8,8,16,1,3,3,4,6,6,6,6,6,6,12,12,12,4,4,4,8,8,1,3,3,4,4,1,
4,1,1,1,1,1],[1,1,6,24,12,16,3,4,6,6,12,8,6,18,12,12,12,24,12,24,16,16,16,1,2,
2,3,3,6,6,6,12,6,12,12,12,12,12,12,24,24,4,8,16,3,3,6,3,6,6,6,6,12,12,4,4,4,8,
8,8,8,1,3,3,6,6,4,8,3,1,1],[1,1,6,12,24,16,3,4,6,6,8,6,12,12,6,12,12,16,16,16,
1,2,2,3,3,6,6,6,6,12,12,12,12,12,12,12,4,8,16,3,3,6,3,6,6,6,6,12,12,4,4,4,8,8,
1,3,3,6,6,4,8,3,1,1],[1,4,1,6,4,12,16,6,3,4,4,6,6,6,8,12,12,12,16,16,16,1,2,2,
3,3,4,4,6,6,6,6,12,12,12,4,8,16,1,3,3,6,6,6,6,4,4,4,8,8,1,3,3,4,1,1,1],[1,3,4,
18,6,12,16,1,3,6,6,9,2,12,2,6,12,12,6,6,12,24,12,12,16,16,16,1,3,3,3,3,3,6,3,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,4,8,8,16,1,3,3,3,6,3,6,6,3,3,6,
6,6,6,6,6,6,4,4,4,8,8,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,3,4,6,18,12,16,1,9,6,6,
3,2,12,2,6,12,12,6,6,12,24,12,12,16,16,16,1,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,12,12,12,12,4,8,8,16,1,3,3,3,3,6,6,3,3,6,6,6,6,6,6,6,6,4,4,4,8,
8,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,7,18,18,16,7,9,9,2,12,12,2,18,6,6,36,12,12,
16,16,16,1,3,3,6,9,9,9,9,18,18,18,6,6,6,6,12,12,12,12,4,8,8,16,1,9,9,9,3,18,3,
3,6,6,6,6,4,4,4,8,8,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,7,6,6,24,16,7,3,6,6,3,2,2,
12,6,12,12,6,6,12,24,12,12,16,16,16,1,3,3,3,3,3,3,6,6,6,6,6,6,6,12,6,6,6,12,6,
6,6,6,12,12,12,12,4,8,8,16,1,3,3,3,6,6,3,6,6,3,3,6,6,6,6,6,6,4,4,4,8,8,1,3,3,
3,3,3,3,1,4,3,1,1,1,1],[1,1,7,3,4,24,16,7,3,3,4,6,6,6,12,12,12,12,24,24,16,16,
16,1,1,1,3,3,6,6,6,6,6,6,6,12,12,12,12,12,12,24,24,4,16,1,3,3,4,6,6,6,6,6,6,
12,12,12,4,4,4,1,3,3,4,4,1,4,1,1,1,1,1],[1,1,3,15,12,12,12,16,1,4,3,9,16,6,6,
6,12,8,12,24,12,36,6,12,24,6,12,12,12,12,24,16,16,16,1,3,3,3,3,4,4,12,12,6,6,
3,6,3,8,12,6,12,6,6,6,12,6,24,12,6,12,6,6,24,6,6,6,12,12,12,12,24,12,12,12,12,
12,12,4,4,4,8,16,3,3,6,3,4,3,6,3,3,6,3,3,6,3,6,6,6,6,6,6,6,12,6,6,6,6,6,12,12,
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],[1,1,3,3,
24,12,12,16,1,3,3,6,6,12,8,12,8,6,12,12,12,6,12,12,12,24,24,24,12,24,24,16,16,
16,1,3,3,3,3,6,6,3,6,3,8,8,12,12,6,6,6,6,6,12,12,6,6,6,6,6,6,12,24,24,12,12,
12,24,12,24,24,24,24,4,8,8,16,3,4,3,6,6,3,3,3,3,3,6,6,12,6,6,6,6,6,12,12,12,
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],[1,1,3,3,12,24,
12,16,1,3,3,12,6,6,8,12,8,6,12,12,12,6,12,12,24,24,12,24,12,24,24,16,16,16,1,
3,3,3,3,6,6,3,3,6,8,8,12,12,6,6,6,6,12,6,12,6,6,6,6,6,6,12,24,24,12,12,12,24,
12,24,24,24,24,4,8,8,16,3,4,3,3,6,3,6,3,3,3,6,12,6,6,6,6,6,6,12,12,12,12,12,
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],[1,7,7,21,28,16,7,7,21,
21,21,28,28,42,42,42,56,84,84,84,84,16,16,16,1,7,7,7,7,8,14,21,21,28,28,28,28,
42,42,42,42,42,56,84,84,84,84,84,84,84,168,168,4,4,4,8,16,7,7,21,21,21,28,28,
42,42,42,56,84,84,84,84,4,4,4,4,4,4,4,4,4,8,8,8,7,7,21,28,1,4,4,4,8,1,1,1,1,
1],[1,1,3,3,12,12,16,1,3,3,6,12,6,6,6,12,12,16,16,16,1,3,3,3,6,6,6,3,3,3,6,6,
6,6,6,6,6,6,6,6,6,12,4,16,3,4,3,3,3,3,3,3,6,6,6,6,6,6,6,4,4,4,1,3,3,6,6,1,4,3,
1,1,1,1],[1,4,1,6,4,12,16,6,3,4,4,6,6,6,8,12,12,12,16,16,16,1,2,2,3,3,4,4,6,6,
6,6,12,12,12,4,8,16,1,3,3,6,6,6,6,4,4,4,8,8,1,3,3,4,1,1,1],[1,1,6,12,24,16,3,
4,6,6,8,6,12,12,6,12,12,16,16,16,1,2,2,3,3,6,6,6,12,6,12,12,12,12,12,12,4,8,
16,3,6,6,3,3,6,6,6,12,12,4,4,4,8,8,1,3,3,6,6,4,8,3,1,1],[1,3,3,9,16,12,12,16,
1,1,3,3,3,6,4,12,6,12,6,12,20,6,24,18,18,6,12,18,6,6,12,12,12,12,24,16,16,16,
1,2,3,3,3,3,3,3,1,3,1,3,3,3,3,3,3,3,3,3,6,6,6,6,15,6,6,6,6,6,6,6,6,9,15,6,6,6,
6,6,9,6,12,6,12,24,12,6,6,12,6,24,6,6,6,6,12,6,6,6,6,6,4,4,4,8,16,3,1,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,6,3,6,3,3,3,3,6,3,6,6,3,3,6,3,3,3,6,3,3,6,3,3,6,6,6,6,6,6,
6,6,4,4,4,4,4,4,4,4,4,8,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,4,4,4,3,1,1,1,1],[1,3,
3,9,16,12,12,16,1,1,3,3,3,6,4,12,6,6,12,12,20,6,24,18,18,6,12,18,6,6,12,12,12,
12,24,16,16,16,1,2,3,3,3,3,3,3,1,3,1,3,3,3,3,3,3,3,3,3,6,6,6,15,6,6,6,6,6,6,6,
9,15,6,6,6,9,6,6,6,6,12,6,6,12,24,12,6,6,6,24,6,6,6,12,6,12,6,6,6,6,6,4,4,4,8,
16,3,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,6,3,6,6,3,3,3,6,3,3,3,3,6,3,3,3,6,6,6,3,3,
3,3,6,6,6,6,6,6,6,6,4,4,4,4,4,4,4,4,4,8,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,4,4,4,
3,1,1,1,1],[1,3,7,9,12,12,12,16,7,1,9,3,9,12,4,6,6,18,6,6,8,6,12,12,12,12,12,
12,36,12,12,6,12,24,16,16,16,1,1,3,3,1,2,3,3,3,3,18,6,3,18,6,6,6,6,6,6,6,3,12,
6,6,12,6,6,12,6,6,6,12,6,6,12,6,12,12,6,12,6,12,6,12,24,12,24,12,12,4,4,4,8,
16,3,3,3,3,3,4,6,6,6,3,3,3,3,3,6,6,3,6,6,6,6,6,6,6,12,6,6,6,12,6,6,6,6,12,4,4,
4,4,4,4,4,4,4,8,1,3,3,3,3,3,3,6,6,6,6,1,4,4,4,3,1,1,1,1],[1,3,7,9,12,24,16,7,
1,9,3,9,12,4,6,6,6,18,6,8,6,12,12,12,12,12,36,12,6,24,12,24,16,16,16,1,1,3,3,
1,2,3,3,3,3,18,6,3,18,6,6,6,6,6,6,3,6,12,12,6,12,12,12,12,6,6,12,12,6,6,12,24,
12,12,24,12,12,12,12,12,12,4,4,4,8,16,3,3,3,3,3,4,3,3,3,6,3,3,6,6,6,3,6,6,6,6,
6,6,6,12,6,6,12,6,6,6,6,6,6,12,4,4,4,4,4,4,4,4,4,8,1,3,3,3,3,3,3,6,6,6,6,1,4,
4,4,3,1,1,1,1],[1,3,4,12,24,16,1,6,3,9,6,12,6,24,12,24,16,16,16,1,3,6,3,3,3,3,
3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,4,16,1,3,3,3,6,6,6,6,6,3,6,3,3,6,6,6,6,4,
4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,3,3,12,12,16,1,3,3,6,12,6,6,6,12,12,16,
16,16,1,3,3,3,6,3,3,6,6,3,6,6,6,6,6,6,6,6,6,6,6,12,4,16,3,4,3,3,3,3,3,3,6,6,6,
6,6,6,6,4,4,4,1,3,3,6,6,1,4,3,1,1,1,1],[1,7,36,16,7,9,9,18,24,36,16,16,16,1,3,
3,6,9,9,9,9,18,18,18,6,6,6,6,4,16,1,9,9,9,3,18,3,3,6,6,6,6,4,4,4,3,1,3,3,3,3,
3,1,4,3,1,1,1,1],[1,1,3,15,12,12,12,16,1,4,3,9,16,6,6,6,12,8,24,12,36,6,12,24,
6,12,12,12,12,12,24,16,16,16,1,3,3,3,3,4,4,12,12,6,3,6,6,3,8,12,12,6,12,6,6,
12,6,24,12,6,6,6,24,6,6,6,6,12,12,12,24,12,12,12,12,12,12,12,4,4,4,8,16,3,6,3,
3,4,3,3,6,3,6,6,3,3,3,6,6,6,6,6,6,6,12,6,6,6,6,6,12,12,12,12,4,4,4,4,4,4,4,4,
4,8,1,3,3,3,3,3,3,6,6,6,6,1,4,4,4,3,1,1,1,1],[1,7,12,12,12,16,7,6,3,3,6,6,12,
24,12,24,16,16,16,1,6,6,3,3,3,3,3,3,6,6,6,6,6,6,12,12,6,6,6,6,6,6,4,16,1,3,6,
3,3,6,6,6,6,3,6,3,3,6,6,6,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,6,12,24,
16,3,4,6,6,8,12,18,6,12,12,24,12,12,24,16,16,16,1,2,2,3,3,6,6,6,12,12,6,12,12,
12,12,12,24,24,4,8,16,3,6,6,3,3,6,6,6,12,12,4,4,4,8,8,8,8,1,3,3,6,6,4,8,3,1,
1],[1,3,4,12,24,16,1,9,3,6,6,12,6,24,12,24,16,16,16,1,3,6,3,3,3,3,3,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,4,16,1,3,3,3,6,6,6,6,6,6,3,3,3,6,6,6,6,4,4,4,1,3,3,3,
3,3,3,1,4,3,1,1,1,1],[1,3,1,3,24,16,1,3,3,3,3,12,6,12,12,12,16,16,16,1,1,1,2,
3,3,3,3,6,6,6,6,6,6,12,12,6,6,6,4,16,3,3,3,6,3,3,6,3,3,6,6,6,6,6,4,4,4,4,4,8,
1,3,3,3,3,3,3,4,4,4,3,1,1],[1,3,1,3,18,18,12,16,1,3,3,3,3,6,4,4,6,6,6,6,6,6,
18,6,6,6,8,12,12,12,18,18,12,12,12,12,24,12,12,16,16,16,1,1,1,2,3,3,3,3,6,6,3,
6,6,6,6,6,3,3,6,6,6,3,6,6,6,6,12,6,6,6,6,6,12,6,6,6,6,12,12,6,6,6,6,12,12,12,
12,12,12,24,12,12,24,12,4,4,4,16,8,3,3,3,4,3,3,6,3,3,3,3,3,3,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,12,6,6,6,12,12,4,4,4,4,4,4,4,4,4,8,1,3,3,3,3,3,3,6,6,6,6,1,4,4,
4,3,1,1,1,1],[1,1,7,3,4,16,7,3,3,4,6,6,12,6,12,16,16,16,1,1,1,6,3,6,3,6,6,6,6,
6,4,16,1,3,3,6,6,6,6,4,4,4,1,3,3,4,1,1,1],[1,7,18,18,16,7,9,9,6,4,4,6,18,18,
18,36,12,12,16,16,16,1,1,1,2,9,9,3,3,6,18,18,6,18,18,6,12,12,12,12,4,4,4,16,3,
9,3,3,3,6,9,3,6,6,6,6,4,4,4,4,4,4,4,4,4,8,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,4,1,6,
4,12,16,6,3,4,4,6,12,6,6,8,12,12,16,16,16,1,2,4,4,2,3,6,3,6,6,6,6,6,12,12,4,8,
16,1,3,3,6,6,6,6,4,4,4,8,8,1,3,3,4,1,1,1],[1,7,36,16,7,9,9,18,8,36,16,16,16,1,
1,1,2,3,9,9,3,18,6,18,18,6,6,18,4,16,8,3,3,3,9,3,6,9,3,6,6,6,6,4,4,4,4,4,8,1,
3,3,3,3,3,3,4,4,4,3,1,1],[1,7,7,21,28,12,12,24,7,7,21,21,21,28,28,42,6,6,6,42,
6,42,56,8,8,12,84,12,84,84,12,12,12,12,84,12,12,12,12,24,24,24,24,24,24,24,24,
24,24,48,48,1,7,7,7,7,8,14,3,3,21,3,3,21,28,28,28,28,42,42,6,42,6,6,6,6,6,6,6,
42,6,42,6,6,6,8,56,8,12,12,12,12,12,12,84,12,12,84,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,84,12,84,84,12,12,12,84,12,12,12,12,84,12,12,
12,12,12,12,12,12,12,12,12,24,24,168,24,24,24,24,24,24,24,24,24,24,24,168,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,48,48,7,7,3,21,3,21,
21,3,3,3,3,3,3,3,3,4,4,28,28,6,6,6,6,6,6,6,6,6,6,6,6,6,6,42,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,42,6,6,6,42,6,6,6,6,6,6,6,56,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
84,12,12,12,84,12,12,12,12,12,12,12,12,12,12,84,12,12,12,12,84,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,1,7,1,7,2,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,21,3,3,3,3,4,28,4,4,4,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,24,1,1,1,2,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,1,
3,3,3,3,3,3,6,6,1],[1,7,7,21,28,12,12,24,7,7,21,21,21,28,28,42,6,6,6,42,6,42,
56,8,8,12,84,12,84,84,12,12,12,12,84,12,12,12,12,16,24,24,24,24,24,24,24,24,
24,24,48,48,48,1,7,7,7,7,8,14,2,2,2,2,3,3,21,3,3,21,4,28,28,28,28,4,42,42,6,
42,6,6,6,6,6,6,6,6,6,6,6,6,6,42,6,6,42,6,6,6,6,6,6,6,6,56,12,12,12,12,12,84,
12,12,12,84,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,84,12,84,84,12,12,12,12,84,12,12,12,12,84,12,12,12,12,12,12,12,
12,12,12,12,12,12,24,24,168,24,24,24,24,24,24,24,24,168,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,48,48,48,48,7,7,3,21,3,21,21,3,3,3,3,3,3,3,3,28,
28,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,42,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,42,6,6,6,6,42,6,6,6,6,6,6,6,56,8,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,84,12,12,12,84,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,84,12,12,12,12,12,12,12,84,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,1,7,1,7,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
21,3,3,3,28,4,4,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,24,
1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,12,12,12,12,1,3,3,3,3,3,3,6,6,1],[1,1,3,15,12,20,12,8,1,4,3,9,16,
6,6,10,6,10,12,8,8,8,8,8,24,12,36,4,12,20,12,24,4,12,8,8,8,32,24,24,24,8,16,
16,16,1,3,2,2,3,5,3,5,3,4,4,12,12,4,6,2,6,6,6,2,6,6,6,2,2,6,2,2,8,8,8,12,12,
12,4,4,8,4,4,4,4,4,4,4,12,8,4,4,12,12,12,4,12,24,12,4,20,4,4,24,4,4,12,4,12,
16,4,4,32,8,8,24,24,8,8,24,24,8,24,32,8,8,8,8,8,8,8,8,24,8,16,16,16,16,5,3,6,
3,3,3,3,3,2,4,4,4,2,6,2,2,4,2,6,2,6,2,6,2,2,6,2,2,2,8,6,6,6,2,2,2,4,6,2,4,12,
12,4,4,4,12,4,4,4,12,4,4,4,4,4,4,12,12,4,4,4,4,4,4,4,4,16,12,4,4,4,4,4,12,4,
16,12,12,4,12,4,4,4,4,4,4,4,4,8,8,8,8,8,24,8,8,8,8,8,16,1,1,1,1,2,2,1,2,3,1,3,
3,1,3,2,2,2,4,2,6,6,2,2,8,6,2,6,6,6,6,6,2,2,2,2,2,6,6,2,2,2,2,2,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,1,3,3,1,2,3,1,1,2,2,2,2,2,2,2,6,2,2,2,2,2,2,4,4,1,1,
1,1,1,1,1,1],[1,5,3,11,12,20,12,24,1,2,7,10,5,8,8,12,6,2,6,6,10,8,8,8,8,8,8,
16,8,28,20,12,12,20,12,16,8,4,12,16,8,24,24,16,24,24,16,24,16,16,24,16,48,32,
16,2,1,1,2,2,1,3,2,3,5,1,4,8,4,4,4,4,4,2,2,6,6,6,4,2,4,6,2,8,2,2,8,2,6,2,6,8,
8,8,12,8,12,8,8,16,12,4,4,8,8,4,4,4,12,8,4,4,4,8,4,8,4,4,12,16,8,4,8,12,4,4,8,
8,8,8,16,4,4,12,16,12,4,8,4,8,4,4,8,8,4,8,4,8,4,4,16,16,16,24,16,8,16,24,8,16,
8,8,24,16,16,8,24,8,16,16,16,16,8,16,16,16,16,8,8,8,8,8,8,8,16,8,16,16,8,24,8,
16,16,16,16,32,32,1,3,2,2,1,1,1,3,3,1,1,1,1,4,4,2,6,6,2,2,6,4,2,2,6,4,2,6,2,2,
2,4,2,2,4,8,2,2,2,2,4,2,2,2,6,2,2,4,2,2,2,2,4,2,2,2,4,4,8,4,8,4,4,4,8,8,4,8,8,
8,4,4,8,4,4,4,8,4,4,4,4,8,4,4,12,4,4,4,8,4,8,4,4,8,8,4,4,8,4,4,4,4,4,4,8,4,8,
4,4,8,8,8,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,8,4,4,4,4,16,8,8,8,
16,8,16,8,8,16,8,8,16,8,8,8,8,16,16,16,16,8,8,16,8,8,8,8,16,16,8,8,8,8,8,8,8,
16,1,1,3,1,1,1,1,1,1,2,1,2,1,1,1,1,3,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,4,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,8,4,4,4,8,4,4,4,4,4,4,8,4,4,4,
4,4,8,4,4,4,8,4,4,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,8,8,1,1,1,
1,1,1,1,1,2,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,
4,1,1,1,1,1,1,1,2,2,2,2,1],[1,3,7,9,12,20,20,24,7,1,9,3,9,12,4,6,10,6,6,18,10,
6,8,8,8,8,8,4,12,12,12,12,12,20,20,20,36,12,20,20,4,16,24,24,24,24,8,24,24,24,
40,24,24,24,48,48,48,16,16,1,1,3,3,1,2,2,2,2,2,3,3,3,5,5,3,4,4,18,6,2,18,6,6,
10,10,10,6,6,10,6,6,10,6,6,6,6,6,6,6,6,6,2,6,6,6,6,8,8,20,12,12,12,4,4,12,12,
12,4,12,12,12,12,12,4,12,12,20,4,4,4,12,12,12,12,12,4,12,12,12,12,12,20,12,12,
4,4,12,12,4,12,12,12,12,12,12,12,12,12,12,4,20,12,4,20,4,20,12,12,12,4,12,12,
8,24,24,8,24,24,24,8,24,8,24,8,24,24,24,8,24,8,8,24,8,8,8,8,24,24,8,8,24,8,24,
16,16,16,16,16,48,48,16,48,16,48,16,3,3,3,3,3,3,5,5,3,3,3,4,4,6,6,6,6,6,6,6,6,
10,6,6,10,10,6,6,6,6,6,6,6,6,2,2,6,6,6,2,2,6,6,6,2,6,2,6,6,6,6,6,6,6,6,6,6,2,
6,10,6,6,2,6,6,6,8,12,4,4,12,4,12,12,12,12,4,12,12,4,12,4,4,4,12,12,4,4,12,4,
4,12,4,12,12,12,12,12,12,4,4,4,4,12,12,20,12,4,12,12,12,12,12,12,12,12,12,4,4,
12,4,12,12,12,12,12,4,12,4,12,12,4,4,4,4,12,12,12,12,12,4,12,12,12,12,12,12,
12,12,4,12,12,12,12,12,12,12,12,4,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,4,12,12,12,12,12,12,12,12,12,12,12,12,12,12,4,12,12,12,4,12,12,12,8,8,8,8,
8,8,8,8,24,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,24,8,8,8,16,16,16,1,1,1,1,2,2,2,2,
2,3,3,3,3,3,3,3,1,3,1,5,4,4,4,4,2,6,6,2,6,6,6,2,6,6,2,2,2,6,6,6,2,2,2,2,6,2,6,
2,6,6,6,2,2,6,2,6,2,2,2,6,6,2,6,6,2,6,6,6,6,4,12,4,4,4,12,4,12,12,12,4,4,4,4,
4,4,12,12,12,12,12,12,4,4,4,12,12,12,12,4,4,4,12,12,4,4,12,12,12,4,4,12,12,12,
12,12,12,4,4,4,12,12,12,4,12,12,4,4,4,12,12,12,4,4,4,4,12,12,4,4,4,4,4,12,4,
12,8,8,8,8,1,3,1,1,1,1,3,1,1,1,3,2,6,2,2,2,2,6,6,2,2,2,2,2,2,2,2,2,2,2,6,2,2,
6,12,4,4,12,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,3,7,9,12,12,12,8,7,1,
9,3,9,12,4,6,6,2,2,18,6,6,8,8,8,12,12,4,12,12,4,12,12,12,36,4,12,12,12,8,8,24,
24,24,8,24,8,8,8,16,16,1,1,3,3,1,2,1,1,3,3,3,3,18,6,6,18,6,6,6,6,2,6,2,6,2,6,
2,6,2,8,8,12,4,12,4,4,4,12,4,4,4,4,4,4,12,4,12,4,4,12,4,4,4,4,4,12,4,12,12,4,
12,4,4,4,4,12,4,4,4,4,4,12,4,12,12,4,12,4,4,12,4,8,8,24,8,8,8,24,8,16,8,8,24,
24,8,8,8,16,8,8,16,8,16,8,8,8,8,24,16,16,3,1,3,1,3,1,3,3,2,1,1,1,2,4,4,6,2,2,
6,6,6,2,2,2,2,6,2,2,6,2,4,2,2,2,2,4,4,2,2,2,6,6,2,2,6,2,2,4,4,8,4,4,4,4,4,4,4,
4,4,4,4,4,4,12,4,12,4,4,4,4,12,4,4,4,4,4,4,4,4,4,12,4,4,12,4,8,4,4,8,4,4,4,8,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,4,4,4,8,8,8,8,8,8,8,8,8,8,16,1,1,1,1,1,1,3,
1,1,1,1,1,2,2,1,1,3,4,4,2,2,6,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,4,2,2,2,2,
4,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,1,1,1,1,1,1,1,2,1,1,1,1,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,5,3,11,12,12,20,24,1,2,7,10,5,8,
8,12,10,6,2,6,6,8,8,8,8,8,16,16,8,28,20,12,20,12,12,16,8,4,12,8,8,16,24,16,24,
24,24,24,16,24,16,16,32,48,16,2,1,1,2,2,3,1,2,5,3,1,4,8,4,4,4,4,8,2,2,6,6,6,2,
4,2,2,4,6,2,2,8,2,6,4,6,8,8,8,12,8,12,8,8,8,12,4,4,8,8,4,4,8,8,4,8,4,8,4,12,4,
4,8,12,12,8,12,4,4,4,8,8,8,16,16,4,4,4,4,16,8,4,4,8,4,8,4,8,4,16,4,4,12,4,8,8,
24,16,8,16,16,16,24,16,8,8,16,16,16,16,8,24,8,16,8,16,16,8,16,8,8,24,8,16,16,
16,8,8,8,16,16,16,8,8,24,8,16,32,16,32,16,16,1,1,2,2,1,1,1,3,1,1,3,1,3,4,4,2,
6,6,6,4,2,2,4,2,2,2,6,6,8,2,2,2,4,4,2,2,4,2,2,2,2,2,2,4,6,2,2,2,2,4,2,2,2,2,2,
2,4,8,4,8,4,4,8,4,8,8,8,8,4,8,4,4,4,8,8,4,4,4,12,8,4,8,4,8,4,8,4,4,8,8,8,4,4,
4,4,8,4,8,4,4,8,8,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,8,16,8,8,8,8,8,8,8,8,16,8,16,16,16,16,8,16,16,16,8,8,8,8,8,
16,8,16,8,8,8,8,16,8,8,8,8,16,1,1,1,3,1,1,3,1,1,1,2,1,2,1,1,1,1,2,2,2,2,2,2,2,
2,2,4,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,8,4,
4,8,4,4,4,4,4,8,4,4,4,4,4,8,4,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,8,4,4,8,4,4,4,8,8,1,1,1,1,1,1,1,1,1,2,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,3,15,12,12,20,8,1,4,
3,9,16,10,10,6,6,6,12,8,8,8,8,24,12,36,4,20,12,12,24,4,12,8,8,8,32,24,24,8,24,
8,16,16,16,1,3,2,2,5,3,5,3,3,4,4,12,12,6,2,6,6,6,2,2,2,6,6,2,6,6,4,2,8,8,8,12,
12,8,12,4,4,4,4,8,4,12,4,12,4,4,4,20,12,4,4,12,24,12,12,4,4,4,4,24,4,12,4,4,4,
4,12,16,24,8,8,24,32,8,24,24,8,8,8,32,8,24,8,8,8,8,8,8,24,8,16,16,16,16,3,3,6,
3,3,2,3,5,3,4,4,4,2,6,6,6,2,2,2,6,6,6,2,2,8,6,4,2,2,4,6,2,2,2,2,6,2,2,2,12,12,
4,12,4,4,12,4,4,4,4,16,4,12,4,4,4,4,12,4,16,4,4,4,4,4,4,4,4,4,4,12,4,4,12,12,
12,4,4,4,12,4,4,4,4,4,4,4,4,8,8,8,8,24,8,8,8,8,8,8,16,1,1,1,1,2,1,1,1,3,2,3,3,
3,2,2,2,2,6,6,2,2,6,2,6,2,6,6,6,2,6,2,6,2,4,2,2,2,2,8,6,2,2,2,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,1,3,3,1,1,3,2,1,2,2,2,2,6,2,2,2,2,2,2,2,2,2,4,4,1,1,1,
1,1,1,1,1],[1,5,3,11,12,12,4,8,1,2,7,10,5,8,8,12,2,6,10,6,6,8,8,8,8,16,28,20,
4,4,12,4,16,12,4,16,8,8,8,16,8,8,16,16,16,2,1,1,2,2,3,5,2,1,3,1,4,8,4,4,4,4,4,
2,2,4,2,2,4,6,6,6,6,8,6,2,8,2,6,2,2,8,4,4,12,12,4,4,4,8,12,4,4,4,4,4,4,4,4,4,
4,4,4,12,4,4,4,4,8,8,4,16,4,12,12,8,16,4,8,4,8,4,4,4,4,8,4,4,4,8,4,4,8,16,8,8,
8,16,8,8,8,8,8,16,8,8,8,8,8,8,8,8,8,1,3,2,1,1,1,1,2,3,1,1,3,1,4,4,2,2,2,4,8,2,
4,6,6,4,2,2,2,2,2,4,6,2,2,2,4,2,4,2,6,2,2,4,2,4,2,2,4,2,2,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,8,
4,4,8,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,1,1,3,1,1,2,1,1,1,2,1,1,1,1,1,1,3,
2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,4,4,4,4,4,4,4,
8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,1,2,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,1,1,1,1,1,1,1,1],[1,5,3,11,12,4,12,8,1,2,7,10,5,8,8,12,6,10,6,6,2,8,8,
8,16,16,28,20,4,12,4,4,16,12,4,8,8,8,16,8,8,8,16,16,16,2,1,1,2,2,5,3,2,3,1,1,
4,8,4,4,4,4,8,2,2,4,2,2,6,2,4,6,2,6,6,2,8,6,6,4,2,8,4,4,4,12,4,4,4,8,8,4,4,4,
4,4,4,4,4,4,4,4,4,12,4,4,4,4,8,8,12,16,4,8,4,12,4,16,12,4,8,4,4,4,8,4,12,4,4,
4,4,8,8,16,8,8,8,8,8,8,8,8,8,8,16,8,8,16,8,8,8,8,8,1,1,2,1,1,1,1,2,1,1,3,3,3,
4,4,2,6,6,4,4,2,4,2,2,4,4,6,2,2,4,2,2,4,2,2,2,4,2,2,8,2,2,4,2,2,6,2,2,2,2,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,4,4,4,8,4,4,4,8,4,4,4,8,4,4,4,4,4,
8,4,4,4,4,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,1,1,1,3,1,2,3,1,1,
1,2,1,1,1,1,1,1,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,
2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,1,1,1,2,1,1,1,1,1,1,1,1,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,3,15,12,4,12,24,1,4,3,9,16,6,6,
2,6,2,12,8,8,8,24,8,12,36,12,12,4,4,24,8,12,4,16,8,24,16,8,8,16,8,16,16,16,1,
3,2,2,3,1,3,1,3,4,4,12,12,4,6,2,4,2,2,6,2,4,4,6,2,4,6,2,2,2,6,8,6,8,4,8,8,12,
4,12,8,4,4,8,4,4,4,4,4,4,4,12,8,4,4,4,4,8,24,12,4,4,4,4,12,8,24,4,4,4,8,4,4,4,
4,4,8,8,8,8,16,8,8,16,8,24,8,24,8,8,16,8,8,8,24,16,8,8,8,8,8,8,8,8,8,1,2,3,6,
1,1,2,4,1,3,1,2,4,2,6,6,2,2,2,4,2,6,2,2,4,4,4,2,2,2,4,4,2,2,2,2,2,2,2,2,6,2,2,
4,8,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,8,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,8,
4,8,4,4,12,8,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,12,4,4,8,8,8,8,8,8,8,16,8,8,8,
8,8,8,1,1,1,1,1,1,1,1,1,2,2,1,2,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,4,2,2,2,2,
4,2,2,4,2,2,4,2,2,2,2,2,2,4,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,
4,4,1,1,1,1,2,1,1,2,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,
1],[1,7,7,21,28,4,4,8,7,7,21,21,21,28,28,42,2,2,2,42,2,42,56,4,84,4,84,84,4,4,
4,4,84,4,4,4,4,8,8,8,8,8,8,8,8,16,16,16,16,1,7,7,7,7,8,14,1,1,21,1,1,21,28,28,
28,28,42,42,2,42,2,2,2,2,2,2,2,42,2,42,2,2,2,56,4,4,4,4,4,84,4,4,84,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,84,4,84,84,4,4,4,84,4,4,4,4,84,4,4,4,4,4,4,4,4,4,4,
8,8,168,8,8,8,8,8,8,8,8,168,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,16,16,7,
7,1,21,1,21,21,1,1,1,1,1,1,1,1,28,28,2,2,2,2,2,2,2,2,2,2,2,42,2,2,2,2,2,2,2,2,
2,2,2,2,42,2,2,42,2,2,2,2,2,2,56,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,84,4,4,84,4,4,4,4,4,4,4,4,4,4,84,4,4,4,4,84,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,16,7,7,
1,1,1,1,1,1,1,1,1,21,1,1,1,28,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,8,8,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
4,4,4,4,1,1,1,1,1,1,1,1],[1,3,7,9,12,4,4,24,7,1,9,3,9,12,4,6,2,6,6,18,2,6,8,
12,12,12,12,12,12,4,4,4,36,12,4,4,12,8,24,24,8,8,24,8,8,16,16,16,16,1,1,3,3,1,
2,3,3,3,1,1,3,18,6,6,18,2,2,2,2,6,2,6,6,6,6,6,6,6,4,12,4,12,4,4,4,4,4,12,12,
12,4,4,12,4,12,12,12,4,12,4,4,4,12,4,4,4,4,4,4,12,4,4,4,4,12,12,8,24,8,8,8,8,
16,24,8,8,8,8,24,8,8,8,8,8,16,8,8,16,8,16,8,8,8,24,8,8,8,8,8,16,16,3,1,3,3,3,
1,1,1,2,1,1,3,2,4,4,2,2,2,2,2,2,2,2,2,2,2,2,6,4,2,6,6,2,4,4,2,2,2,6,6,2,2,6,6,
6,2,6,4,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,4,4,4,4,4,4,4,4,4,4,12,4,4,4,4,4,8,
4,8,4,12,4,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,12,4,4,12,8,8,8,8,8,8,16,16,1,
1,1,1,1,3,3,1,1,1,1,1,1,2,2,1,1,4,4,2,2,2,2,6,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,4,
2,2,2,4,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,1,1,1,1,1,1,1,1,
1,2,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,3,15,12,12,4,24,1,
4,3,9,16,2,2,6,6,6,12,8,8,16,24,8,12,36,12,4,12,4,24,8,12,4,8,8,8,24,16,8,16,
8,16,16,16,1,3,2,2,1,3,1,3,3,4,4,12,12,8,6,2,4,2,2,4,6,4,6,4,6,2,2,2,4,2,6,2,
6,8,4,8,12,4,12,8,4,8,4,4,4,4,4,4,4,4,8,4,4,4,8,4,4,4,8,24,12,4,12,4,12,8,24,
4,4,4,4,8,4,4,8,4,4,16,8,8,8,8,8,8,24,8,8,24,8,16,8,8,16,16,8,8,24,8,8,8,8,8,
8,8,8,3,2,3,6,1,1,2,2,1,1,1,4,4,2,2,2,4,2,2,6,4,2,2,6,2,2,2,4,2,2,4,2,4,2,6,2,
2,2,2,4,2,2,6,4,4,8,4,4,4,4,4,4,4,4,4,4,4,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,8,4,4,4,4,4,4,4,4,4,8,4,8,12,12,8,4,8,4,4,4,4,4,4,4,4,4,4,8,4,4,8,4,8,8,8,8,
8,8,8,8,16,8,8,8,8,8,1,1,2,1,1,1,2,1,1,1,2,1,2,1,1,2,2,2,2,2,4,2,2,2,2,2,2,4,
2,2,2,2,4,2,2,4,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,6,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,8,4,4,4,4,1,1,2,2,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,
1,1,1,1,1,1,1,1],[1,3,7,9,12,12,12,40,7,1,9,3,9,12,4,6,6,10,10,18,6,6,8,8,8,4,
12,20,12,12,20,12,12,12,36,20,12,12,4,16,24,24,24,40,8,24,24,40,24,24,48,48,
48,1,1,3,3,1,2,2,2,2,2,5,5,3,3,3,3,4,4,18,6,2,18,6,6,6,6,6,6,6,6,6,10,6,6,10,
6,10,6,6,10,6,6,2,6,6,6,10,12,20,12,12,12,12,12,12,12,12,12,12,12,12,4,12,20,
12,20,12,12,12,12,20,12,12,20,4,4,12,12,12,12,12,12,12,12,12,12,12,12,12,12,4,
12,12,12,12,12,4,20,12,24,24,24,24,24,8,24,8,24,8,8,24,8,8,8,24,8,24,24,8,8,8,
8,24,8,24,24,8,24,48,48,48,48,3,3,3,5,3,3,3,3,3,3,5,4,4,6,6,6,6,6,6,2,2,6,6,6,
2,6,6,6,6,6,6,6,6,6,6,6,6,6,2,6,6,6,10,6,6,6,2,6,6,6,6,6,2,6,2,6,10,6,6,6,10,
6,2,6,6,10,8,12,4,4,12,4,4,4,12,12,12,12,12,12,4,12,4,12,12,4,12,4,12,4,12,12,
12,4,12,12,12,12,12,12,4,12,12,12,12,12,12,12,12,12,4,12,12,12,12,12,12,12,12,
12,12,4,12,12,12,12,12,12,12,12,12,12,12,12,4,12,20,12,12,12,12,12,12,12,12,4,
12,12,4,12,4,12,4,12,12,12,12,12,12,12,12,12,12,12,12,12,4,12,4,12,4,12,12,12,
12,12,4,12,4,12,4,12,4,12,12,12,4,4,12,4,12,12,12,8,24,8,8,8,8,8,24,8,8,8,8,8,
1,1,1,1,2,2,2,2,2,3,1,5,3,3,3,3,3,1,3,3,4,4,4,4,6,6,2,6,2,6,6,2,6,6,6,6,2,2,6,
2,2,2,6,6,2,6,6,2,2,6,2,2,6,6,6,6,2,2,6,6,2,2,6,6,2,6,2,6,2,4,12,12,4,12,12,
12,4,12,12,12,12,12,12,4,12,12,12,12,4,12,4,12,12,4,4,12,4,4,4,12,12,12,12,4,
4,4,4,4,12,12,12,4,12,4,12,12,4,12,12,4,12,12,4,12,4,4,12,4,4,12,4,4,4,12,4,4,
4,4,4,4,4,12,4,4,4,1,1,1,3,1,1,3,1,1,3,1,6,2,2,2,6,6,2,2,2,2,6,2,6,2,2,2,2,2,
2,2,2,2,2,4,12,4,12,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,3,7,9,12,12,
12,24,64,7,1,9,3,9,12,4,6,6,6,6,18,6,6,8,8,8,12,12,12,12,12,12,12,12,36,12,12,
12,16,24,24,24,24,24,24,24,24,24,48,48,48,64,1,1,3,3,1,2,2,2,2,2,3,3,3,3,3,3,
4,4,18,6,18,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,24,24,24,24,24,24,24,24,24,24,
24,24,48,48,48,48,16,16,16,32,32,32,64,3,3,3,3,3,3,3,3,3,3,3,4,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,8,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,24,16,16,16,32,32,32,32,32,
64,64,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,4,8,3,3,3,6,6,6,6,6,12,12,
4,4,4,8,8,8,8,8,16,16,1,1],[1,1,3,15,12,12,12,64,1,4,3,9,16,6,6,6,6,6,12,8,8,
8,24,12,36,12,12,12,24,12,24,24,24,24,64,1,3,3,3,3,3,3,4,4,12,12,6,6,6,6,6,6,
8,8,8,12,12,12,12,12,12,12,12,24,12,12,24,12,12,12,24,24,24,24,24,24,24,24,16,
16,16,32,32,32,3,3,6,3,3,3,3,3,4,4,4,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,
12,12,12,12,12,24,16,16,16,32,32,32,1,1,1,2,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,4,4,
4,3,3,3,6,4,4,4,8,1,1],[1,1,7,3,4,24,24,24,16,7,3,3,4,12,6,6,6,12,8,12,12,8,
12,12,12,12,12,24,12,12,12,12,24,24,12,48,24,12,12,48,24,24,24,24,16,16,16,16,
16,16,16,1,1,1,3,3,3,3,6,6,6,3,3,6,6,12,3,12,3,6,6,6,6,9,6,6,6,9,8,8,12,12,12,
6,6,6,12,12,6,6,6,12,6,12,6,6,6,12,6,12,18,12,6,6,6,12,6,6,6,6,24,6,12,24,6,6,
6,12,12,12,12,24,24,12,12,12,12,12,12,24,12,12,24,24,24,24,24,24,24,24,24,24,
4,8,8,16,16,16,16,16,16,16,1,3,3,4,3,3,3,6,6,6,3,6,12,6,3,3,9,3,3,3,9,3,6,6,6,
12,6,6,6,6,6,6,6,6,12,12,12,6,6,6,12,6,6,6,6,18,12,6,6,6,6,6,6,6,6,6,12,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,6,6,6,6,6,12,12,12,12,12,12,12,12,12,
12,12,12,24,24,4,4,4,4,4,4,4,8,8,8,8,8,8,16,1,3,3,3,4,4,3,6,3,3,3,3,3,3,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,1,4,4,4,4,4,4,4,8,8,1,3,3,
3,3,3,3,6,6,6,6,1,1,1,1,1,1,1,4,3,1,1,1,1,1,1,1,1],[1,4,1,6,4,24,12,24,16,6,3,
4,4,6,6,6,12,8,6,12,6,18,12,12,18,12,12,12,24,12,12,24,24,24,24,24,16,16,16,
16,16,16,16,1,2,2,3,3,4,4,6,6,6,6,6,6,12,12,6,6,18,6,6,12,12,12,6,12,12,12,12,
12,12,24,12,12,12,12,12,12,12,12,12,12,12,12,12,24,24,24,4,8,16,16,16,16,16,
16,16,1,3,3,3,6,3,6,3,6,3,6,6,6,6,6,6,6,6,6,6,6,6,6,12,6,6,12,12,12,12,12,12,
12,12,12,12,12,4,4,4,4,4,4,4,8,8,8,8,16,1,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,4,4,
4,4,4,4,4,8,8,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,7,7,21,28,12,12,24,16,7,7,21,21,
21,28,28,42,6,6,6,42,6,42,56,12,84,12,84,84,12,12,12,12,84,12,12,12,12,24,24,
24,24,24,24,24,24,48,48,16,16,16,16,16,16,16,1,7,7,7,7,8,14,3,3,21,3,3,21,28,
28,28,28,42,42,6,42,6,6,6,6,6,6,6,42,6,42,6,6,6,56,12,12,12,12,12,84,12,12,84,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,84,12,84,84,12,12,12,84,
12,12,12,12,84,12,12,12,12,12,12,12,12,12,12,24,24,168,24,24,24,24,24,24,24,
168,24,24,24,24,24,24,24,24,24,24,24,24,24,24,48,48,4,4,4,8,16,16,16,16,16,16,
16,7,7,3,21,3,21,21,3,3,3,3,3,3,3,3,28,28,6,6,6,6,6,6,6,6,6,6,6,42,6,6,6,6,6,
6,6,6,6,6,6,6,42,6,6,42,6,6,6,6,6,6,56,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,84,12,84,12,12,12,12,12,12,12,12,12,84,12,12,
12,12,84,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,8,8,8,16,7,7,3,3,3,3,3,3,3,3,3,21,3,3,3,28,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,24,24,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,8,1,3,3,3,3,3,3,6,6,6,6,6,6,6,6,12,12,1,1,1,1,1,1,1,4,4,4,3,1,1,1,1,1,1,
1,1],[1,4,1,6,4,12,24,24,16,6,3,4,4,6,6,6,8,12,18,12,18,6,12,12,6,12,12,24,12,
12,12,24,24,24,24,24,16,16,16,16,16,16,16,1,2,2,3,3,4,4,6,6,6,6,6,6,6,12,6,12,
6,12,6,6,12,12,18,12,12,12,12,24,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
24,24,24,4,8,16,16,16,16,16,16,16,1,3,3,6,6,3,6,3,6,3,3,6,6,6,6,6,6,6,6,6,6,6,
6,6,12,6,12,12,12,12,12,12,12,12,12,12,12,4,4,4,4,4,4,4,8,8,8,8,16,1,3,3,3,3,
3,3,6,6,6,6,6,6,6,6,6,6,4,4,4,4,4,4,4,8,8,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,7,
3,4,12,12,48,16,7,3,3,4,6,12,12,6,6,12,24,12,12,12,24,24,24,12,24,12,24,48,12,
12,24,24,24,16,16,16,16,16,16,16,1,1,1,3,3,3,3,6,6,6,6,6,6,6,9,6,6,6,3,12,12,
6,9,3,3,3,6,12,6,6,6,6,6,6,6,12,12,12,12,12,12,6,6,6,12,12,24,6,6,6,6,6,6,6,6,
18,12,6,12,12,6,6,24,6,24,12,12,24,24,24,24,24,4,16,16,16,16,16,16,16,1,3,3,4,
3,3,3,6,3,6,9,6,3,6,3,3,6,3,9,3,6,12,6,3,6,6,6,6,6,6,6,12,6,6,6,6,6,6,6,6,6,
12,6,6,6,6,6,6,12,6,6,6,6,6,6,12,6,12,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,
6,6,18,6,12,6,12,6,12,12,12,12,12,12,12,12,4,4,4,4,4,4,4,16,1,3,3,3,4,4,3,3,3,
3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,1,4,4,4,4,
4,4,4,1,3,3,3,3,3,3,6,6,6,6,1,1,1,1,1,1,1,4,3,1,1,1,1,1,1,1,1],[1,7,7,21,28,7,
7,21,21,21,28,28,42,42,42,56,84,84,84,84,64,1,7,7,7,7,8,14,21,21,28,28,28,28,
42,42,42,42,42,56,84,84,84,84,84,84,84,168,168,7,7,21,21,21,28,28,42,42,42,56,
84,84,84,84,7,7,21,28,8,8,1,1],[1,7,7,21,28,20,20,40,7,7,21,21,21,28,28,42,10,
10,10,42,10,42,56,8,8,8,8,20,84,20,84,84,20,20,20,20,84,20,20,20,20,16,24,24,
40,40,40,24,24,40,40,40,40,40,48,80,80,16,16,1,7,7,7,7,8,14,2,2,2,2,5,5,21,5,
5,21,4,28,28,28,28,4,42,42,10,42,6,6,10,10,10,6,6,10,6,10,10,6,10,42,10,6,42,
10,6,6,10,6,6,6,10,8,56,8,20,20,12,20,20,20,84,12,20,20,84,20,20,12,12,20,20,
12,12,20,12,20,20,12,20,12,12,20,20,20,20,12,12,20,20,12,20,20,20,20,84,20,84,
84,20,20,20,12,84,20,20,20,20,84,12,12,20,20,20,20,20,20,12,20,20,20,20,12,40,
40,168,8,40,40,24,24,24,40,40,24,40,40,24,40,168,24,40,40,40,40,24,24,40,40,
40,40,40,40,8,40,40,8,8,8,8,24,24,24,40,24,8,40,24,8,24,16,16,16,16,16,80,48,
16,80,16,48,16,7,7,5,21,5,21,21,5,5,5,5,5,5,5,5,4,4,28,28,6,6,6,6,6,10,6,10,
10,10,10,6,6,6,10,10,10,10,10,10,6,6,42,6,6,10,6,6,6,6,10,10,6,6,10,10,6,10,
10,6,6,6,10,10,10,6,6,6,6,10,10,42,6,6,6,10,10,42,10,10,10,6,10,10,6,10,56,8,
12,12,12,12,20,20,12,20,20,20,20,12,12,12,12,12,20,20,12,4,20,20,20,12,20,20,
12,12,20,4,12,20,20,12,12,12,12,20,20,12,12,12,20,20,4,12,12,20,12,12,12,12,
12,20,12,12,12,12,12,20,12,12,20,12,12,12,12,12,12,12,4,84,12,12,20,12,12,4,
84,20,12,20,20,12,4,12,20,12,12,20,12,12,12,20,20,20,12,20,12,84,20,12,20,12,
20,20,12,84,20,12,20,12,12,20,12,20,20,20,20,4,12,12,12,12,12,12,12,20,12,20,
12,12,20,12,12,20,4,12,4,20,12,12,12,12,20,12,4,12,20,12,20,12,20,12,20,4,12,
20,4,12,12,12,8,24,8,8,40,40,40,8,8,40,8,8,40,8,40,40,40,24,40,40,40,8,24,24,
24,40,8,8,40,40,40,40,40,8,24,40,24,8,8,8,8,24,8,8,24,40,8,8,8,8,40,8,8,8,8,
16,16,16,1,1,7,1,1,7,2,2,2,2,2,2,3,3,5,5,3,3,5,3,3,3,5,3,5,5,5,5,5,3,3,3,21,3,
5,5,5,4,28,4,4,4,4,4,2,6,6,2,2,6,10,6,6,6,6,10,6,10,10,6,10,6,6,6,6,10,6,10,6,
2,6,6,6,2,6,10,6,6,10,6,6,6,10,10,6,2,6,6,10,2,2,6,6,6,10,2,6,6,10,10,10,10,6,
2,6,10,6,10,6,6,10,6,10,2,10,6,6,6,10,10,10,10,6,2,12,12,12,20,4,20,12,12,20,
4,20,20,12,12,12,20,12,12,12,12,4,12,4,4,12,4,4,20,12,12,12,12,12,12,12,12,12,
12,12,12,4,20,12,12,12,12,12,20,4,20,4,4,12,20,4,20,12,4,4,20,12,12,4,20,12,
12,4,4,20,12,4,4,12,12,12,20,4,12,4,4,12,12,20,4,20,4,4,20,12,4,12,4,20,12,20,
4,12,12,4,4,4,20,20,12,12,12,4,4,4,4,4,4,12,4,4,12,12,4,4,20,4,4,20,4,4,4,12,
4,4,4,12,4,20,4,4,4,12,4,4,4,20,8,8,40,40,8,8,1,1,1,1,1,2,2,3,3,3,3,1,3,5,3,3,
3,3,3,5,1,3,5,1,3,3,5,5,5,3,3,1,3,3,3,3,3,2,6,2,2,2,2,10,6,2,6,2,6,2,6,6,6,6,
6,6,6,6,2,2,2,2,2,6,6,2,2,10,6,6,6,6,2,2,6,6,6,2,2,2,6,6,10,6,2,2,6,6,6,6,2,2,
10,2,6,6,6,2,2,2,2,2,6,10,6,2,2,2,2,2,10,2,2,2,2,6,10,10,2,4,12,4,4,20,4,4,12,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,20,4,4,12,12,1,1,5,1,3,3,1,3,3,1,1,1,1,1,1,1,1,
1,1,3,3,1,1,1,3,1,1,1,1,3,1,3,1,1,3,6,2,2,2,6,2,2,2,2,2,2,6,2,6,2,2,2,2,2,2,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,3,15,12,12,36,24,64,1,4,3,9,16,18,18,6,6,
6,12,8,8,24,8,24,12,36,12,36,12,12,24,12,12,24,24,24,48,24,24,24,24,24,48,48,
48,64,64,64,1,3,6,6,9,3,9,3,3,4,4,12,12,6,6,6,6,18,6,6,6,6,6,6,6,18,12,6,8,8,
8,12,12,24,12,12,12,12,12,24,12,12,12,12,12,12,12,36,12,12,12,12,24,12,12,12,
12,12,12,24,12,12,12,12,12,12,12,24,24,24,24,24,48,24,24,24,24,24,24,48,24,24,
24,24,24,24,24,24,24,24,48,48,48,48,16,16,16,32,32,32,64,3,3,6,3,3,6,3,9,3,4,
4,4,6,18,6,18,6,6,6,6,6,6,6,6,12,6,12,6,6,12,6,6,6,6,6,6,6,6,6,12,12,12,12,12,
12,12,12,12,12,12,24,12,12,12,12,12,12,12,12,24,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,24,24,24,24,24,24,24,
24,24,24,48,16,16,16,16,16,16,16,16,16,32,32,32,32,32,1,3,1,1,2,3,3,3,3,6,3,3,
3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,6,6,6,6,12,6,6,6,6,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,4,4,4,16,16,16,32,3,3,3,3,3,3,
6,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,4,4,4,4,4,4,4,4,4,8,1,3,3,3,3,3,3,4,4,4,
3,1,1],[1,1,3,15,12,36,12,24,64,1,4,3,9,16,6,6,18,6,18,12,8,8,24,8,24,24,12,
36,12,12,36,12,24,12,12,24,24,24,48,24,24,24,24,48,48,48,64,64,64,1,3,6,6,3,9,
3,9,3,4,4,12,12,12,6,6,6,6,18,6,6,6,6,6,6,18,6,6,8,8,8,12,12,12,12,12,24,12,
12,12,12,12,12,12,12,24,12,12,12,12,12,12,12,24,12,12,36,12,12,24,12,12,12,12,
12,24,12,12,48,24,24,24,24,24,24,24,24,24,24,48,24,24,24,24,24,24,24,24,24,24,
48,48,48,48,16,16,16,32,32,32,64,9,3,6,3,3,3,3,3,6,4,4,4,6,6,6,6,12,6,18,6,6,
6,6,6,6,6,6,6,6,12,6,6,18,6,6,6,12,6,6,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,12,12,12,12,12,12,12,12,24,12,12,
12,12,12,12,12,12,12,12,12,12,24,24,24,24,24,24,24,24,24,24,24,48,16,16,16,16,
16,16,16,16,16,32,32,32,32,32,3,1,1,1,2,6,3,6,3,3,3,3,3,3,6,6,6,12,6,6,6,6,6,
12,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,4,4,4,16,16,16,32,3,3,3,3,6,3,3,3,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,12,12,4,4,4,4,4,4,4,4,4,8,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,7,7,21,28,12,
12,24,64,7,7,21,21,21,28,28,42,6,6,6,42,6,42,56,8,8,12,84,12,84,84,12,12,12,
12,84,12,12,12,12,24,24,24,24,24,24,24,24,24,24,48,48,64,64,64,1,7,7,7,7,8,14,
3,3,21,3,3,21,28,28,28,28,42,42,6,42,6,6,6,6,6,6,6,42,6,42,6,6,6,8,56,8,12,12,
12,12,12,12,84,12,12,84,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,84,12,84,84,12,12,12,84,12,12,12,12,84,12,12,12,12,12,12,12,12,12,12,12,
24,24,168,24,24,24,24,24,24,24,24,24,24,24,168,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,48,48,16,16,16,32,32,32,64,7,7,3,21,3,21,21,3,3,
3,3,3,3,3,3,4,4,28,28,6,6,6,6,6,6,6,6,6,6,6,6,6,6,42,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,42,6,6,6,42,6,6,6,6,6,6,6,56,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,84,12,
12,12,84,12,12,12,12,12,12,12,12,12,12,84,12,12,12,12,84,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,16,16,16,16,16,16,16,16,
16,32,32,32,32,32,1,7,1,7,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,21,3,3,3,3,4,28,4,4,4,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,24,24,4,4,4,16,16,16,32,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,4,4,4,4,4,4,4,4,4,8,1,3,3,
3,3,3,3,6,6,4,4,4,8,1,1,1],[1,3,7,9,12,12,12,72,64,7,1,9,3,9,12,4,6,6,18,18,
18,6,6,8,8,8,12,12,36,12,12,36,12,12,12,36,36,12,12,12,16,24,24,24,72,24,24,
24,72,24,24,48,48,48,64,64,64,1,1,3,3,1,2,2,2,2,2,9,9,3,3,3,3,4,4,18,6,6,18,6,
6,6,6,6,6,6,6,6,18,6,6,18,6,18,6,6,18,6,6,6,6,6,6,18,12,36,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,36,12,36,12,12,12,12,36,12,12,36,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,36,12,24,24,24,24,24,24,72,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,72,24,24,24,24,24,48,48,48,48,16,
16,16,32,32,32,64,64,3,3,3,9,3,3,3,3,3,3,9,12,4,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,18,6,6,18,6,6,6,6,6,6,6,6,6,6,18,6,6,6,18,18,6,6,
6,18,8,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,36,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,36,12,12,12,12,12,12,12,12,12,12,36,12,12,12,12,24,
24,24,24,24,24,24,24,24,24,24,24,24,16,16,16,16,16,16,16,16,16,32,32,32,32,32,
64,64,1,1,1,3,2,2,2,2,2,3,3,9,9,3,3,3,3,3,3,3,12,12,4,4,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,4,8,16,16,16,
32,32,3,3,3,3,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,
12,12,12,12,12,12,12,12,12,12,12,4,4,4,4,4,8,8,8,8,8,16,16,1,3,3,3,3,3,3,6,6,
6,6,4,4,4,8,8,3,1,1],[1,7,7,21,28,12,12,24,64,7,7,21,21,21,28,28,42,6,6,6,42,
6,42,56,8,8,12,84,12,84,84,12,12,12,12,84,12,12,12,12,16,24,24,24,24,24,24,24,
24,24,24,48,48,48,64,64,64,1,7,7,7,7,8,14,2,2,2,2,3,3,21,3,3,21,4,28,28,28,28,
4,42,42,6,42,6,6,6,6,6,6,6,6,6,6,6,6,6,42,6,6,42,6,6,6,6,6,6,6,6,56,12,12,12,
12,12,84,12,12,12,84,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,84,12,84,84,12,12,12,12,84,12,12,12,12,84,12,12,12,12,
12,12,12,12,12,12,12,12,12,24,24,168,24,24,24,24,24,24,24,24,168,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,48,48,48,48,16,16,16,32,32,32,64,64,7,
7,3,21,3,21,21,3,3,3,3,3,3,3,3,28,28,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,42,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,42,6,6,6,6,42,6,6,6,6,6,6,6,
56,8,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,84,12,12,12,84,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
84,12,12,12,12,12,12,12,84,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,16,16,16,16,16,
16,16,16,16,32,32,32,32,32,32,32,64,64,1,7,1,7,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,21,3,3,3,28,4,4,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,24,24,4,8,16,16,16,32,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,4,4,4,4,4,8,8,8,8,8,16,16,1,
3,3,3,3,3,3,6,6,4,4,4,8,1,1,1],[1,3,7,9,12,36,36,24,64,7,1,9,3,9,12,4,6,18,6,
6,18,18,6,8,24,8,8,24,12,12,12,12,12,12,36,36,36,36,12,36,36,12,16,24,24,24,
24,24,72,72,24,72,24,24,24,48,48,48,48,48,64,64,64,1,1,3,3,1,2,2,2,2,2,3,3,3,
9,9,3,4,4,18,6,6,18,6,6,18,18,18,6,6,18,6,6,18,6,6,6,6,6,6,6,6,6,6,6,6,6,6,24,
24,36,12,36,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,36,12,12,12,12,12,36,
12,12,12,12,12,12,12,12,36,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,36,12,12,36,12,36,12,12,12,12,12,12,24,24,24,24,24,24,24,24,72,24,24,24,24,
72,24,24,24,24,24,24,24,24,24,24,24,24,24,24,72,24,24,48,48,48,48,48,48,48,48,
48,48,48,48,16,16,16,32,32,32,64,64,3,3,3,3,3,3,9,9,3,3,3,12,4,6,6,6,18,6,6,6,
6,18,6,6,18,18,6,6,6,6,18,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,18,6,6,6,6,6,6,8,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,36,12,12,12,12,12,12,12,12,12,36,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,36,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,48,48,48,16,16,16,16,16,16,16,16,16,32,32,32,32,
32,32,32,32,32,64,64,1,3,1,1,2,2,2,2,2,3,3,9,3,3,3,3,3,3,3,9,12,12,4,4,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
24,24,24,24,4,8,16,16,16,32,32,3,3,3,3,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,12,4,4,4,4,4,8,8,8,8,8,
8,8,16,16,1,3,3,3,3,3,3,6,6,6,6,4,4,4,8,8,3,1,1],[1,7,7,21,28,112,7,7,21,21,
21,28,28,42,42,42,56,84,84,84,84,112,112,112,64,1,7,7,7,7,8,14,21,21,28,28,28,
28,42,42,42,42,42,56,84,84,84,84,84,84,84,168,168,28,28,28,56,112,7,7,21,21,
21,28,28,42,42,42,56,84,84,84,84,64,28,28,28,28,28,28,28,28,28,56,56,56,7,7,
21,28,7,28,28,28,56,8,8,1,7,7,7,8,8,7,1,1],[1,7,84,112,7,21,21,42,56,84,112,
112,112,64,1,7,7,14,21,21,21,21,42,42,42,42,42,42,42,28,112,56,7,21,21,21,21,
42,21,21,42,42,42,42,64,28,28,28,28,28,56,7,7,21,21,21,21,21,7,28,28,28,8,21,
7,7,7,7,8,7,7,1],[1,7,42,42,112,7,21,21,14,28,28,14,42,42,42,84,84,84,112,112,
112,64,1,7,7,14,21,21,21,21,42,42,42,42,42,42,42,84,84,84,84,28,28,28,56,56,
112,7,21,21,21,21,42,21,21,42,42,42,42,64,28,28,28,28,28,28,56,28,56,28,28,56,
7,7,21,21,21,21,21,7,28,28,28,8,21,7,7,7,7,8,8,8,7,7,1],[1,7,7,21,28,36,36,72,
64,7,7,21,21,21,28,28,42,18,18,18,42,18,42,56,8,24,24,8,36,84,36,84,84,36,36,
36,36,84,36,36,36,36,48,72,72,72,72,72,24,24,72,72,72,72,72,144,144,144,48,48,
64,64,64,64,64,64,64,1,7,7,7,7,8,14,6,6,6,6,9,9,21,9,9,21,12,28,28,28,28,12,
42,42,18,42,18,18,18,18,18,18,18,18,18,18,18,18,18,42,18,18,42,18,18,18,18,18,
18,18,18,8,56,8,36,36,12,36,36,36,84,36,36,36,84,36,36,36,36,36,36,36,36,36,
12,36,36,36,36,12,36,36,36,36,36,36,36,36,36,36,36,36,36,36,84,36,84,84,36,36,
36,36,84,36,36,36,36,84,36,12,36,36,36,36,36,36,36,36,36,36,36,36,72,72,168,
24,72,72,72,24,24,72,72,24,72,72,24,72,168,24,72,72,72,72,24,72,72,72,72,72,
72,72,24,72,72,24,24,24,24,24,24,72,72,24,24,72,24,24,72,48,48,48,48,48,144,
144,48,144,48,144,48,16,16,16,32,32,32,64,64,64,64,64,64,64,7,7,9,21,9,21,21,
9,9,9,9,9,9,9,9,4,4,28,28,18,18,18,6,18,18,18,18,18,18,18,18,6,18,18,18,18,18,
18,18,6,18,42,18,18,18,6,18,18,18,18,18,18,18,18,18,6,18,18,18,18,6,18,18,18,
18,18,18,18,18,18,42,18,6,18,18,18,42,18,18,18,6,18,18,18,18,56,24,36,12,12,
36,36,36,12,36,36,36,36,36,12,36,36,12,36,36,12,12,36,36,36,12,36,36,12,36,36,
12,36,36,36,36,36,12,12,36,36,36,36,12,36,36,12,36,36,36,36,12,36,36,36,36,36,
36,36,36,36,36,12,36,36,36,36,36,36,36,12,36,12,84,36,36,36,12,12,12,84,36,36,
36,36,12,12,36,36,36,36,36,36,36,36,36,36,36,36,36,36,84,36,36,36,36,36,36,36,
84,36,36,36,36,12,36,36,36,36,36,36,12,36,36,36,36,36,36,36,36,12,36,36,36,36,
36,12,36,12,36,12,36,36,36,36,36,36,12,12,36,36,36,36,36,36,36,36,12,12,36,12,
36,36,36,24,24,24,24,72,72,72,24,24,72,24,24,72,24,72,72,72,24,72,72,72,24,24,
24,24,72,24,24,72,72,72,72,72,24,24,72,24,24,24,24,24,24,24,24,72,72,24,24,24,
24,72,24,24,24,24,48,48,48,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,32,32,32,32,32,32,32,32,32,64,3,1,7,3,1,7,6,2,6,6,6,6,9,9,9,9,3,9,
9,3,9,3,9,9,9,9,9,9,9,3,3,9,21,3,9,9,9,4,28,4,4,4,12,12,6,18,18,6,6,18,18,6,
18,18,18,18,18,18,18,6,18,18,18,18,6,18,6,18,18,6,6,6,6,6,18,18,6,18,18,6,18,
18,18,18,18,6,18,6,18,6,6,18,6,18,18,6,18,6,18,18,18,18,18,6,6,18,18,18,18,6,
18,18,18,6,18,18,6,18,18,18,18,18,18,6,12,12,12,36,12,36,36,12,36,12,36,36,36,
12,12,36,36,36,12,12,12,12,12,12,12,12,12,36,36,12,12,36,36,12,36,36,12,36,12,
12,12,36,12,36,36,36,36,36,12,36,12,12,36,36,12,36,36,12,12,36,12,36,12,36,36,
12,12,12,36,36,12,12,36,36,36,36,12,12,12,12,36,36,36,12,36,12,12,36,12,12,36,
12,36,36,36,12,36,36,12,12,12,36,36,36,12,36,12,12,12,12,12,12,36,12,12,36,12,
12,12,36,12,12,36,12,12,12,36,12,12,12,12,12,36,12,12,12,36,12,12,12,36,24,24,
72,72,24,24,4,4,4,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,32,32,32,1,3,3,1,1,6,2,9,9,9,3,3,9,9,3,3,3,3,3,9,3,9,9,3,3,9,9,9,9,3,9,3,3,
9,9,9,3,6,18,6,6,6,6,18,6,6,6,6,18,6,6,18,6,18,6,18,18,18,6,6,6,6,6,6,6,6,6,
18,6,6,6,18,6,6,18,18,6,6,6,6,6,6,18,6,6,6,18,18,18,18,6,6,18,6,18,6,18,6,6,6,
6,6,18,18,6,6,6,6,6,6,18,6,6,6,6,6,18,18,6,12,36,12,12,36,12,12,36,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,36,12,12,12,12,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,8,16,16,16,3,1,9,3,3,9,3,3,3,3,3,3,3,3,3,3,3,3,3,3,9,3,3,3,9,
3,3,3,3,3,3,9,3,3,9,6,6,6,6,6,6,6,6,6,6,6,18,6,18,6,6,6,6,6,6,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,8,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,4,4,4,3,1,1,1,1],[
1,7,7,21,28,36,36,72,64,7,7,21,21,21,28,28,42,18,18,18,42,18,42,56,24,8,8,24,
36,84,36,84,84,36,36,36,36,84,36,36,36,36,16,24,24,72,72,72,72,72,72,72,72,72,
72,48,144,144,48,48,64,64,64,64,64,64,64,1,7,7,7,7,8,14,2,2,2,2,9,9,21,9,9,21,
4,28,28,28,28,4,42,42,18,42,6,6,18,18,18,6,6,18,6,18,18,6,18,42,18,6,42,18,6,
6,18,6,6,6,18,24,56,24,36,36,36,36,36,36,84,12,36,36,84,36,36,12,12,36,36,12,
12,36,36,36,36,12,36,36,12,36,36,36,36,12,12,36,36,12,36,36,36,36,84,36,84,84,
36,36,36,12,84,36,36,36,36,84,12,36,36,36,36,36,36,36,12,36,36,36,36,12,72,72,
168,24,72,72,24,72,72,72,72,72,72,72,72,72,168,72,72,72,72,72,72,24,72,72,72,
72,72,72,24,72,72,24,24,24,24,72,72,24,72,72,24,72,72,24,24,48,48,48,48,48,
144,48,48,144,48,48,48,16,16,16,32,32,32,64,64,64,64,64,64,64,64,7,7,9,21,9,
21,21,9,9,9,9,9,9,9,9,12,12,28,28,6,6,6,18,6,18,6,18,18,18,18,6,18,6,18,18,18,
18,18,18,18,6,42,6,6,18,18,6,6,6,18,18,6,6,18,18,18,18,18,6,6,18,18,18,18,6,6,
6,6,18,18,42,6,18,6,18,18,42,18,18,18,18,18,18,6,18,56,8,12,36,36,12,36,36,36,
36,36,36,36,12,36,12,12,36,36,36,36,12,36,36,36,36,36,36,36,12,36,12,12,36,36,
12,12,36,36,36,36,12,12,36,36,36,12,12,12,36,12,36,12,12,12,36,12,12,12,12,12,
36,36,12,36,12,12,12,12,12,36,12,12,84,12,12,36,36,36,12,84,36,12,36,36,36,12,
12,36,12,12,36,12,12,12,36,36,36,12,36,12,84,36,12,36,12,36,36,12,84,36,12,36,
12,36,36,12,36,36,36,36,12,12,12,12,12,12,12,12,36,36,36,12,12,36,12,36,36,12,
12,12,36,12,12,12,12,36,36,12,12,36,12,36,12,36,12,36,12,36,36,12,12,12,12,24,
72,24,24,72,72,72,24,24,72,24,24,72,24,72,72,72,72,72,72,72,24,72,72,72,72,24,
24,72,72,72,72,72,24,72,72,72,24,24,24,24,72,24,24,24,72,24,24,24,24,72,24,24,
24,24,48,48,48,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
32,32,32,32,32,32,32,32,32,32,32,64,64,64,1,3,7,1,3,7,2,6,2,2,2,2,3,3,9,9,9,3,
9,9,3,9,9,3,9,9,9,9,9,9,9,3,21,9,9,9,9,12,28,12,12,12,4,4,6,6,6,6,6,6,18,18,6,
6,6,18,6,18,18,18,18,6,6,6,18,18,18,18,6,6,18,18,18,6,6,18,18,6,18,18,6,6,18,
18,6,6,6,18,18,6,6,6,18,6,18,6,6,18,18,18,18,18,6,6,18,18,6,18,6,18,18,6,18,6,
18,6,18,6,18,18,18,18,6,6,36,36,36,36,12,36,12,36,36,12,36,36,12,36,36,36,12,
12,36,36,12,36,12,12,36,12,12,36,12,36,36,12,12,36,12,12,36,12,36,36,12,36,36,
12,12,12,12,36,12,36,12,12,12,36,12,36,12,12,12,36,36,12,12,36,12,36,12,12,36,
12,12,12,12,12,12,36,12,36,12,12,12,12,36,12,36,12,12,36,36,12,12,12,36,12,36,
12,12,12,12,12,12,36,36,12,36,12,12,12,12,12,12,12,12,12,12,12,36,12,12,36,12,
12,36,12,12,12,12,12,12,12,36,12,36,12,12,12,12,12,12,12,36,24,24,72,72,24,24,
4,8,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,32,32,32,
32,32,1,1,1,3,3,2,6,3,3,3,9,3,3,9,9,9,9,9,9,9,3,3,9,3,9,3,9,9,9,9,3,3,9,3,3,3,
9,6,6,6,6,6,6,18,18,6,18,6,6,6,18,6,18,6,18,6,6,6,6,6,6,6,6,18,18,6,6,18,18,
18,18,6,6,6,6,6,18,6,6,6,18,18,18,18,6,6,6,6,6,6,6,6,18,6,6,18,6,6,6,6,6,6,6,
18,18,6,6,6,6,6,18,6,6,6,6,18,18,18,6,12,12,12,12,36,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,36,12,12,36,36,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,
16,16,16,16,16,1,3,9,3,9,3,3,9,9,3,3,3,3,3,3,3,3,3,3,9,3,3,3,3,3,3,3,3,3,9,3,
3,3,3,3,18,6,6,6,18,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,4,4,4,4,4,4,4,4,4,4,4,4,4,8,
8,8,8,8,3,1,3,3,3,3,3,3,3,3,3,3,3,3,3,1,4,4,4,3,1,1,1,1],[1,7,7,21,28,84,84,
168,448,7,7,21,21,21,28,28,42,42,42,42,42,42,42,56,56,56,56,56,84,84,84,84,84,
84,84,84,84,84,84,84,84,84,112,168,168,168,168,168,168,168,168,168,168,168,
168,336,336,336,336,336,448,448,448,448,448,448,448,512,1,7,7,7,7,8,14,14,14,
14,14,21,21,21,21,21,21,28,28,28,28,28,28,42,42,42,42,42,42,42,42,42,42,42,42,
42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,56,56,56,84,84,84,84,84,84,
84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,
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,
84,84,84,84,84,84,84,84,84,84,168,168,168,168,168,168,168,168,168,168,168,168,
168,168,168,168,168,168,168,168,168,168,168,168,168,168,168,168,168,168,168,
168,168,168,168,168,168,168,168,168,168,168,168,168,168,168,168,336,336,336,
336,336,336,336,336,336,336,336,336,112,112,112,224,224,224,224,224,448,448,
448,448,448,448,448,448,7,7,21,21,21,21,21,21,21,21,21,21,21,21,21,28,28,28,
28,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,
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,
42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,56,56,84,84,84,84,84,84,84,84,84,
84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,
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,
84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,
84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,
84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,
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,
168,168,168,168,168,168,168,168,168,168,168,168,168,168,168,168,168,168,168,
168,168,168,168,168,168,168,168,168,168,168,168,168,168,168,168,168,168,168,
168,168,168,168,168,168,168,168,168,168,168,168,168,168,168,336,336,336,512,
112,112,112,112,112,112,112,112,112,112,112,112,112,112,112,112,112,112,112,
112,112,224,224,224,224,224,224,224,224,224,224,224,224,224,224,224,224,224,
448,448,448,7,7,7,7,7,7,14,14,14,14,14,14,21,21,21,21,21,21,21,21,21,21,21,21,
21,21,21,21,21,21,21,21,21,21,21,21,21,28,28,28,28,28,28,28,42,42,42,42,42,42,
42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,
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,
42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,84,84,84,84,
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,
84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,
84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,
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,
84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,
84,84,84,84,84,84,84,168,168,168,168,168,168,28,28,28,56,112,112,112,112,112,
112,112,112,112,112,112,112,112,112,112,112,112,112,112,112,112,224,224,224,
224,224,224,224,64,64,1,7,7,7,7,14,14,21,21,21,21,21,21,21,21,21,21,21,21,21,
21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,42,42,42,42,42,42,42,42,42,
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,
42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,
42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,84,84,84,84,84,
84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,28,28,28,
28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,56,56,56,56,56,56,
56,56,112,112,112,112,112,7,7,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,
21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,42,42,42,42,42,42,42,42,42,
42,42,42,42,42,42,42,42,42,42,42,64,64,64,64,28,28,28,28,28,28,28,28,28,28,28,
28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,56,56,56,56,56,56,7,7,21,21,
21,21,21,21,21,21,21,21,21,21,21,7,7,28,28,28,28,28,8,21,7,7,7,7,7,7,8,8,8,7,
7,1]],
[1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,6,6,6,6,6,6,6,7,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
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,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
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,
48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,
48,48,48,48,56,56,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
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,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
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,
96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,
96,96,96,96,96,96,96,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,168,168,168,168,192,192,192,192,192,192,192,192,192,192,192,192,
192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,
192,192,256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,384,384,
384,384,384,384,384,448,512,768,768,768,768,768,768,1344,1344,1344,1536,1536,
10752],
[1231,1229,1230,1219,1215,1146,1146,959,615,1229,1230,1219,1219,1219,1215,
1215,1207,1200,1210,1210,1197,1200,1196,1175,1173,1191,1191,1174,1108,1106,
1149,1106,1106,1104,1108,1108,1146,1106,1146,1104,1146,1108,1091,1061,1061,
959,1024,1024,970,1012,959,953,997,959,959,627,642,642,762,763,615,615,615,
615,615,615,615,574,1231,1230,1229,1229,1230,1226,1224,1225,1223,1225,1223,
1219,1219,1219,1219,1219,1219,1211,1215,1215,1215,1215,1211,1197,1196,1196,
1197,1200,1200,1210,1200,1200,1200,1210,1200,1200,1200,1197,1210,1210,1197,
1210,1200,1196,1210,1210,1210,1196,1210,1210,1200,1197,1174,1175,1173,1108,
1108,1146,1146,1108,1108,1106,1104,1104,1108,1106,1104,1104,1104,1104,1104,
1108,1104,1104,1104,1146,1139,1108,1104,1104,1146,1104,1104,1108,1104,1104,
1104,1104,1139,1108,1104,1104,1108,1108,1146,1106,1108,1106,1106,1104,1104,
1104,1104,1106,1104,1104,1104,1104,1106,1104,1146,1104,1104,1108,1104,1108,
1104,1104,1104,1104,1106,1104,1104,1024,1024,921,1012,1024,953,1061,953,1012,
1024,1024,960,1024,1024,953,1024,921,953,1024,1024,1024,958,953,1061,1024,
1024,1024,1024,1024,1024,1020,1024,1024,960,1061,1050,1058,1020,953,1061,959,
953,1061,1024,970,970,1061,763,763,763,762,763,642,627,762,642,762,627,762,
1102,1101,1100,913,912,914,915,917,615,615,615,613,615,615,615,615,1229,1230,
1219,1219,1219,1219,1219,1219,1219,1219,1219,1219,1219,1219,1219,1213,1217,
1215,1215,1200,1200,1200,1199,1210,1197,1210,1196,1196,1200,1197,1200,1199,
1210,1197,1200,1197,1197,1197,1210,1202,1210,1207,1200,1200,1196,1199,1210,
1200,1200,1196,1196,1210,1200,1197,1210,1202,1210,1196,1210,1210,1199,1196,
1196,1207,1200,1210,1200,1200,1200,1196,1196,1210,1202,1210,1197,1196,1197,
1200,1197,1210,1202,1196,1197,1210,1197,1175,1191,1104,1108,1108,1104,1108,
1106,1108,1108,1104,1104,1108,1104,1146,1104,1104,1108,1104,1108,1108,1142,
1108,1104,1104,1108,1108,1108,1108,1104,1106,1146,1104,1108,1139,1104,1104,
1108,1146,1104,1106,1104,1104,1146,1106,1108,1115,1104,1104,1104,1104,1108,
1104,1104,1104,1108,1104,1104,1104,1104,1104,1106,1108,1104,1108,1104,1104,
1104,1104,1104,1108,1104,1118,1106,1104,1104,1106,1146,1146,1146,1106,1106,
1104,1104,1104,1142,1142,1104,1104,1104,1104,1108,1104,1104,1104,1104,1106,
1106,1104,1108,1104,1106,1104,1104,1104,1104,1104,1106,1104,1106,1106,1104,
1104,1104,1108,1104,1104,1106,1104,1108,1104,1148,1104,1104,1104,1104,1104,
1104,1104,1104,1146,1104,1104,1104,1104,1104,1148,1104,1158,1104,1127,1104,
1104,1104,1104,1104,1139,1148,1148,1104,1106,1104,1106,1104,1104,1104,1106,
1125,1158,1106,1158,1104,1104,1104,1061,953,970,1061,1024,1024,1024,970,960,
1024,1012,1061,1024,1061,1024,1024,1024,953,1024,1024,1024,970,953,953,953,
1024,1061,1061,1024,1024,1024,1024,1024,1020,931,1024,953,960,1012,1012,1012,
953,970,1061,1061,1024,1061,1020,1020,960,1024,1061,1061,960,1020,763,749,762,
574,1102,1102,1100,1102,1100,1100,1102,1102,1100,1102,1101,1101,1102,1101,
1100,1100,1101,1101,1100,1101,1101,912,914,917,913,917,913,914,917,912,915,
914,913,915,915,916,918,912,613,614,615,1230,1229,1230,1230,1229,1229,1223,
1222,1225,1223,1224,1225,1219,1219,1219,1219,1219,1219,1219,1219,1219,1219,
1219,1219,1219,1219,1219,1219,1219,1219,1219,1219,1219,1219,1219,1219,1219,
1217,1215,1213,1213,1217,1211,1211,1202,1210,1210,1206,1203,1200,1196,1196,
1200,1197,1197,1196,1210,1197,1196,1202,1196,1210,1197,1210,1199,1196,1202,
1197,1210,1209,1196,1202,1196,1199,1210,1197,1199,1200,1207,1196,1210,1200,
1197,1196,1197,1199,1210,1199,1196,1210,1200,1210,1196,1197,1197,1200,1200,
1196,1196,1196,1196,1197,1200,1210,1196,1197,1200,1207,1200,1202,1197,1197,
1196,1198,1197,1200,1199,1200,1197,1196,1197,1197,1197,1202,1108,1108,1108,
1106,1142,1108,1104,1108,1108,1146,1108,1106,1104,1108,1108,1104,1104,1104,
1108,1108,1118,1108,1146,1146,1146,1142,1142,1106,1104,1108,1108,1104,1104,
1108,1104,1104,1108,1104,1108,1108,1118,1108,1108,1104,1104,1104,1104,1106,
1146,1106,1158,1146,1104,1106,1148,1106,1104,1115,1115,1106,1108,1104,1158,
1106,1104,1108,1148,1127,1106,1104,1146,1146,1104,1104,1104,1106,1148,1108,
1158,1127,1104,1104,1104,1158,1106,1142,1142,1106,1108,1142,1104,1158,1104,
1104,1106,1125,1104,1104,1115,1115,1125,1106,1104,1104,1148,1104,1142,1146,
1125,1146,1158,1118,1104,1148,1148,1104,1146,1125,1142,1106,1148,1158,1106,
1118,1142,1142,1104,1146,1158,1127,1148,1148,1106,1148,1148,1148,1104,1127,
1158,1158,1106,1061,1061,1024,1024,1061,1061,1215,1217,1213,1191,1101,1100,
1102,1102,1101,1102,1101,1102,1100,1100,1100,1101,1100,1100,1101,1101,1102,
1102,1102,1100,1101,912,913,914,915,916,917,918,1160,1162,1231,1230,1230,1229,
1229,1224,1222,1219,1219,1219,1219,1219,1219,1219,1219,1219,1219,1219,1219,
1219,1219,1219,1219,1219,1219,1219,1219,1219,1219,1219,1219,1219,1219,1219,
1219,1219,1219,1200,1200,1210,1199,1199,1199,1196,1199,1199,1196,1199,1197,
1200,1196,1197,1196,1197,1196,1197,1197,1200,1200,1199,1200,1200,1200,1202,
1196,1210,1200,1197,1196,1196,1196,1197,1200,1199,1197,1197,1196,1200,1202,
1202,1196,1202,1196,1196,1199,1199,1197,1197,1210,1197,1202,1200,1197,1210,
1197,1199,1210,1210,1210,1210,1210,1210,1197,1196,1196,1210,1202,1202,1202,
1202,1197,1202,1202,1210,1199,1196,1197,1196,1202,1148,1104,1142,1142,1106,
1129,1127,1104,1148,1146,1146,1119,1142,1142,1148,1115,1118,1148,1146,1158,
1158,1146,1158,1106,1158,1125,1108,1108,1215,1214,1213,1217,1217,1215,1217,
1213,1215,1217,1215,1215,1215,1217,1213,1213,1213,1217,1216,1213,1215,1213,
1217,1191,1192,1195,1191,1191,1190,1194,1193,1099,1100,1101,1102,1103,1230,
1229,1219,1219,1219,1219,1219,1219,1219,1219,1219,1219,1219,1219,1219,1219,
1219,1219,1219,1219,1219,1219,1219,1219,1219,1219,1219,1219,1219,1219,1219,
1219,1219,1219,1219,1196,1202,1199,1200,1196,1202,1199,1200,1210,1210,1200,
1197,1202,1197,1199,1199,1202,1200,1210,1210,1159,1160,1161,1162,1213,1214,
1214,1214,1213,1213,1213,1213,1217,1215,1213,1213,1215,1217,1216,1216,1215,
1215,1215,1215,1217,1217,1217,1215,1217,1216,1217,1190,1191,1192,1193,1194,
1195,1229,1230,1219,1219,1219,1219,1219,1219,1219,1219,1219,1219,1219,1219,
1219,1230,1229,1213,1214,1215,1216,1217,1226,1219,1229,1229,1229,1230,1230,
1230,1226,1227,1228,1229,1230,1231],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,9,1,1,9,1,9,9,1,1,1,1,1,1,1,1,1,3,
1,3,1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,3,1,1,1,1,1,1,3,3,1,
3,3,1,1,1,1,1,1,1,1,1,4,4,1,1,3,4,1,1,3,1,1,1,4,3,1,3,1,1,4,3,3,1,1,3,4,1,3,1,
3,1,1,3,3,1,1,1,1,4,1,1,1,3,1,3,1,1,1,3,3,1,1,1,3,3,1,3,4,3,3,1,3,1,3,3,4,1,1,
1,1,1,1,4,1,4,1,3,4,1,4,4,1,1,4,4,4,1,4,1,4,1,4,1,4,1,1,4,1,1,1,1,1,3,4,1,1,1,
1,4,1,1,1,6,6,6,7,6,1,1,7,1,7,1,7,16,10,11,26,27,25,28,24,9,9,9,43,9,1,9,9,1,
1,3,1,1,1,1,3,1,1,3,3,3,1,3,1,1,1,1,1,3,1,1,3,1,3,4,4,1,3,3,1,3,3,3,3,1,1,1,1,
3,1,1,3,4,3,3,3,3,1,4,3,3,3,1,3,3,4,3,3,3,4,3,3,3,3,3,1,1,4,1,3,1,3,3,4,1,3,1,
3,3,1,3,3,3,1,1,3,4,4,3,1,4,4,4,3,3,1,3,4,1,3,4,1,4,3,3,4,3,3,4,4,4,1,3,3,1,3,
4,4,3,3,4,1,3,4,3,3,4,4,4,3,3,3,3,3,4,3,3,3,1,3,1,3,3,3,4,4,3,4,3,3,3,3,3,1,1,
3,1,3,3,4,4,1,1,1,4,3,3,3,3,3,3,1,3,3,1,3,3,3,3,4,1,3,4,3,1,3,1,3,3,3,1,3,1,4,
3,3,3,3,3,3,4,3,4,3,1,3,3,3,3,3,3,3,3,4,3,3,1,3,3,3,3,3,3,3,3,3,3,3,3,4,3,1,3,
4,3,3,1,3,3,4,3,3,4,3,3,3,3,7,4,6,4,4,4,4,6,19,4,7,7,4,6,1,4,4,4,4,4,4,6,4,4,
4,4,6,7,4,4,4,4,4,20,2,4,4,19,7,7,7,4,6,4,1,1,6,20,20,19,4,6,7,19,20,6,2,7,68,
251,16,11,16,11,253,251,251,253,16,252,252,251,10,11,253,10,252,253,10,252,
255,256,24,254,24,26,256,24,27,257,25,254,257,28,79,77,255,43,91,9,3,1,1,3,1,
1,3,2,3,3,3,1,14,3,14,14,1,14,3,3,14,3,3,14,3,1,1,3,3,1,3,3,1,3,14,14,3,10,1,
10,10,10,3,3,14,3,3,14,14,3,14,3,3,3,14,3,3,3,4,14,4,3,14,3,14,14,14,14,3,14,
4,14,4,14,3,3,14,3,14,4,3,1,14,4,14,14,3,14,4,3,3,3,4,14,14,3,3,3,4,1,4,3,3,3,
2,14,3,14,3,14,3,14,4,14,3,3,14,3,14,4,14,3,14,14,14,4,4,4,18,4,3,4,4,2,4,14,
3,4,14,3,3,3,14,14,22,4,7,6,4,10,18,14,3,14,14,3,3,4,3,3,14,3,4,14,22,4,4,3,3,
3,3,4,6,14,10,6,3,4,20,4,3,18,18,14,14,3,10,14,3,14,4,19,14,3,7,7,3,3,3,14,19,
14,20,19,3,3,3,19,4,22,18,4,14,18,3,20,3,3,14,20,3,3,18,18,20,14,3,3,12,3,10,
7,20,6,19,22,3,20,19,3,4,20,22,14,20,19,3,22,22,22,3,4,20,19,12,19,4,2,19,20,
3,19,20,19,4,41,41,4,4,41,41,284,283,282,353,10,253,251,251,252,16,252,251,
253,253,11,252,253,253,252,252,251,251,251,253,252,255,254,256,257,610,24,611,
69,74,1,73,73,10,10,73,72,73,73,73,12,14,14,3,4,14,10,14,14,14,14,3,14,14,10,
73,3,14,14,12,73,14,4,3,73,14,14,12,3,19,84,84,84,14,14,81,72,84,73,22,14,73,
12,3,4,14,14,3,22,81,22,18,10,14,72,10,18,14,72,14,14,14,22,73,73,73,14,18,83,
83,72,14,4,14,81,73,73,73,3,73,83,18,14,19,14,14,3,12,20,20,20,20,14,4,72,19,
80,83,80,73,14,80,73,19,81,14,14,14,80,113,3,100,100,14,85,80,3,113,41,99,85,
100,100,113,83,84,113,99,110,110,41,110,14,110,81,14,14,887,616,282,888,888,
284,283,889,284,283,887,887,887,888,889,282,889,283,619,282,284,889,888,353,
623,625,890,890,622,626,624,659,253,252,251,658,3,72,14,81,14,73,84,72,72,81,
84,83,80,84,84,85,81,73,83,72,73,81,80,80,73,85,72,83,73,14,72,14,80,83,73,72,
279,269,100,72,279,269,99,113,113,99,73,279,73,269,269,279,100,110,110,1159,
919,1161,920,282,1069,1069,616,889,889,889,889,283,887,889,889,284,888,619,
1086,887,887,887,887,888,888,888,887,888,1086,888,1096,890,623,1098,626,1093,
72,73,638,269,275,275,279,638,269,279,638,272,280,638,280,1104,1105,889,1069,
887,1086,888,921,638,1212,1212,1105,1211,1104,1211,1218,1227,1228,1212,1211,
1231],
[( 1, 6, 7,13,14,12)( 2, 5,21)( 4, 9, 8)(10,17,20)(11,18,16,15,25,28)
(19,24,27)(22,23,26),( 1, 8, 2, 3,18, 5, 6)( 4,19, 7, 9,11,13,21)
(10,17,27,12,20,14,16)(15,28,22,23,24,25,26)],
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1,-2,3,1]],[[1,2],[3,1,2,2,3,1]]],[[[2,2,1,2,2,2,1,1]],[[2,2],[3,1,1,-2,3,
1]],[[1,1,2,-3]]],[[[1,2],[1,1,2,1,3,1,2,1,3,-1]],[[2,1,1,-1,2,1,1,1,2,2]],[[
2,1,1,1,2,-2,1,-2]]],[[[1,1,2,2],[3,1,1,2,3,1]],[[2,1,1,1,2,-1,1,2,2,1]],[[2,
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2,1,1,1,2,1]]],[[[1,2,2,-1,1,-1,2,-1]],[[2,1,1,1,2,-1,1,2]]],[[[1,2],[2,-1,3,
1,2,1]],[[2,1,1,1,2,-2,1,-1]]],[[[2,2,1,-2,2,-1]],[[1,-3,2,1,1,1]]],[[[1,-3,2,
1,1,1]],[[1,1,2,-1,1,-1,2,1]],[[1,2,2,-1,1,-1,2,-1]]],[[[1,1,2,1],[3,1,1,-2,3,
-1,2,-1]],[[1,-3,2,-1,1,1]],[[1,2,2,1]]],[[[1,2],[3,-1,2,1,3,-1,2,-1,1,-1,2,
-1]],[[1,2],[2,-1,1,1]],[[1,1,2,-3]]],[[[2,1,1,1,2,1,1,2,2,2,1,1]],[[1,-1,2,1,
1,-1,2,1]],[[1,-3]]],[[[1,-3,2,1,1,1]],[[1,1,2,-3]],[[2,2,1,-1,2,1]]],[[[1,-3,
2,1,1,1]],[[1,1,2,-1,1,1,2,2]],[[1,1,2,-1,1,-1,2,1]]],[[[1,2,2,-1,1,-1,2,
-1]],[[1,1,2,-3]],[[2,2,1,-1,2,1]]],[[[1,1,2,-1,1,1,2,2]],[[1,2,2,-1,1,-1,2,
-1]],[[1,1,2,-1,1,-1,2,1]]],[[[1,1,2,-1,1,2,2,1]],[[1,-3,2,1,1,1]]],[[[1,2,2,
-2,1,-1,2,-1]],[[1,1,2,-1,1,1,2,-1]]],[[[2,2,1,1,2,2]],[[1,1,2,-1,1,-1,2,
1]],[[2,2,1,-1,2,1]]],[[[1,2,2,-1,1,-1,2,1,1,-1,2,1]],[[1,2],[3,1,2,1,3,-1,2,
2]],[[1,1,2,-1,1,-1,2,1]]],[[[2,1,1,1,2,2,1,1]],[[1,-3]],[[2,1,1,-3,2,
-1]]],[[[2,1,1,1,2,-1,1,2,2,2]],[[2,1,1,1,2,3,1,-1]],[[2,2,1,-1,2,1]]],[[[1,1,
2,1,1,-3]],[[2,1,1,-1,2,-1,1,1]]],[[[1,2],[3,-1,2,1,1,1,2,1]],[[2,1,1,2,2,
2]],[[2,1,1,-1,2,-1,1,1]]],[[[2,2,1,-2,2,1,1,-1]],[[2,1,1,2,2,2]],[[2,1,1,-1,
2,2]]],[[[1,2,2,3]],[[1,-1,2,1,1,1,2,-1]],[[2,1,1,-3,2,-1]]],[[[2,2,1,-1,2,1,
1,-2]],[[1,1,2,-2,1,1,2,1]],[[2,2,1,1,2,2]]],[[[2,2],[3,1,1,-2,3,1]],[[2,2,1,
-1,2,1,1,-2]],[[2,1,1,-3,2,-1]]],[[[2,1,1,1,2,2,1,-1,2,1]],[[2,3,1,1,2,
-1]]],[[[1,1,2,2],[3,1,1,2,3,1]],[[1,1,2,-2,1,-2]],[[1,-1,2,2,1,2]]],[[[1,2],[
3,1,1,1,2,1,3,-1,2,1,3,-1]],[[1,-1,2,2,1,-1]],[[1,1,2,-1,1,-1,2,1]]],[[[2,1,1,
1,2,2,1,-2]],[[1,1,2,-1,1,-2,2,-1]]],[[[1,2],[3,1,1,1,2,1,3,-1,2,1,3,-1]],[[1,
1,2,-3]],[[1,1,2,-1,1,-1,2,1]]],[[[1,1,2,-2,1,2,2,1]],[[2,1,1,-1,2,-1,1,
1]]],[[[1,1,2,1],[3,1,1,2,2,1,3,1]],[[1,-1,2,2,1,-1]]],[[[1,1,2,-1,1,-2,2,
-2]],[[2,1,1,-1,2,-3]],[[2,1,1,-3,2,-1]]],[[[2,1,1,1,2,2,1,2]],[[1,1,2,1],[3,
2,1,2]],[[1,1,2,-3]]],[[[2,1,1,-1,2,-1,1,2,2,1]],[[1,-3,2,1,1,1]]],[[[2,1,1,
-1,2,2,1,2]],[[1,1,2,-1,1,1,2,2]],[[1,1,2,-3]]],[[[1,2],[1,1,2,1,3,-1,2,1]],[[
2,1,1,1,2,2,1,-2]],[[2,1,1,-3,2,-1]]],[[[2,2,1,2,2,1,1,-1]],[[1,1,2,1],[3,1,2,
1,3,1,2,1]],[[1,2]]],[[[2,1,1,-1,2,1,1,2,2,-1,1,-1]],[[2,2],[3,1,1,-2,3,1]],[[
1,-3]],[[2,2,1,1,2,2]],[[2,1,1,-3,2,-1]]],[[[2,1,1,1,2,1,1,1,2,1,1,-2]],[[1,
-1,2,1,1,-1,2,1]],[[2,1,1,-3,2,2,1,-1]],[[1,-3]],[[2,1,1,1,2,1,1,-2,2,1,1,
1]]],[[[1,2,2,2,1,1,2,-1]],[[1,1,2,-1,1,1,2,2]],[[1,-1,2,1,1,-1,2,1]]],[[[2,1,
1,1,2,2,1,-1,2,1]],[[1,-1,2,2,1,2]],[[2,1,1,-3,2,-1]],[[1,2,2,2,1,-1]]],[[[2,
1,1,-1,2,-1,1,2,2,1]],[[2,2,1,-1,2,1]],[[2,1,1,-3,2,-1]],[[1,2],[2,-1,3,1,2,
2]]],[[[2,3,1,1,2,-1]],[[2,2,1,1,2,2]],[[2,1,1,-3,2,-1]]],[[[1,2,2,-1,1,-1,2,
1,1,-1,2,1]],[[1,1,2,-2,1,1]],[[2,1,1,-3,2,-1]],[[1,2],[3,-1,2,-2,3,-1]]],[[[
2,1,1,-1,2,-1,1,2,2,1]],[[1,2,2,1,1,-1,2,1]],[[2,2,1,1,2,2]]],[[[1,1,2,1,1,-2,
2,-2]],[[1,1,2,-3]],[[1,-3]]],[[[2,2],[3,1,1,-2,3,1]],[[2,1,1,-3,2,-1]],[[1,1,
2,-1,1,1,2,2]],[[1,-3]]],[[[1,2,2,2,1,1,2,-1]],[[1,2,2,1,1,-1,2,1]],[[1,1,2,
-1,1,1,2,2]]],[[[1,2,2,2,1,1,2,-1]],[[1,-3]],[[1,1,2,-1,1,1,2,2]]],[[[2,1,1,
-1,2,-1,1,2,2,1]],[[1,1,2,-1,1,1,2,2]],[[1,2,2,1,1,-1,2,1]]],[[[1,1,2,2],[1,2,
3,2]],[[1,1,2,-1,1,-2,2,2]],[[1,1,2,-3]]],[[[2,2,1,-3,2,1,1,-1]],[[1,2,2,2,1,
1,2,-1]],[[1,-1,2,1,1,-1,2,1]],[[1,2,2,1,1,2,2,1]]],[[[1,2,2,-1,1,-1,2,-2]],[[
1,-1,2,1,1,-1,2,1]],[[2,1,1,-2,2,2,1,-1]],[[2,1,1,-2,2,-1]]],[[[2,2,1,1,2,
2]],[[2,1,1,1]],[[1,1,2,-1,1,-1,2,1]]],[[[1,-3,2,1,1,1]],[[1,1,2,-3]],[[2,2,1,
1,2,2]]],[[[1,1,2,1],[3,1,1,-2,3,-1,2,-1]],[[1,2],[2,-1,1,1]],[[1,2,2,1]]],[[[
2,1,1,1,2,2,1,1]],[[1,1,2,-1,1,-2,2,-1]],[[1,-3]]],[[[1,1,2,1,1,-3]],[[2,-3,1,
1]],[[1,-1,2,1,1,1,2,-1]]],[[[1,1,2,-2,1,-2]],[[2,2,1,-1,2,1]],[[1,-3,2,1,1,
1]]],[[[2,1,1,-1,2,1]],[[1,-3]]],[[[2,1,1,-1,2,-1,1,2,2,1]],[[1,2,2,1,1,-1,2,
1]],[[1,-3]],[[1,1,2,-1,1,1,2,2]]],[[[2,3,1,1,2,-1]],[[2,1,1,1]]],[[[2,2,1,1,
2,2]],[[1,1,2,-2,1,1]],[[2,1,1,1]]],[[[1,1,2,-1,1,-1,2,1]],[[2,1,1,-2]],[[2,1,
1,1]]],[[[1,2],[2,-1,1,1]],[[2,1,1,-2,2,-1]],[[1,1,2,-3]]],[[[2,1,1,1],[2,1,3,
2]],[[1,-1,2,1,1,-1,2,1]],[[2,1,1,-1,2,-1]]],[[[1,-1,2,1,1,-1,2,1]],[[1,2,2,
1]],[[2,1,1,2,2,-1]]],[[[1,1,2,1]],[[2,1,1,1]]],[[[1,-3,2,-1]],[[1,1,2,
2]]],[[[1,-1,2,1,1,1]],[[1,2,2,1]]],[[[1,-1,2,2,1,-1]],[[1,2,2,-1]],[[2,1,1,
1]]],[[[1,2,2,1]],[[2,1,1,-1,2,-1]]],[[[1,1]],[[2,1]]]]);


AFLT( "2^6:(3xA5)","S4(4)",[1,3,4,2,3,2,5,5,6,14,7,9,8,14,15,24,11,21,10,9,8,
13,10,16,18,23,17,12,19,12,13,12,22,23,22,23,22,13,24,21,20,11,22,25,22,26,29,
34,31,32,31,54,35,55,47,64,63,65,48,36,58,49,55,57,47,50,60,56,49,69,37,50,69,
54,38,39,42,59,61,60,70,74,51,72,62,78,56,79,45,43,71,40,57,68,52,67,41,81,66,
80,44,53,75,73,53,70,59,53,61,61,71,59,84,86,70,85,73,82,48,71,73,49,72,52,58,
62,51,94,52,76,46,51,73,88,96,95,91,73,89,92,72,93,83,69,98,50,97,62,90,99,77,
87,100,101,105,103,108,111,108,112,112,111,109,114,117,110,113,113,115,111,
117,116,121,120,110,122,124,125,126,124,131,130,135,131,136,148,137,142,147,
138,127,143,143,132,193,164,154,173,132,149,133,155,163,140,139,185,157,187,
188,167,141,134,144,152,194,158,170,168,174,169,153,165,161,150,172,146,171,
184,166,186,159,129,182,162,151,156,179,160,183,145,128,181,180,146,134,177,
133,189,175,144,143,203,133,206,145,178,205,200,196,144,199,202,201,136,204,
142,190,146,134,176,192,195,197,191,145,198,209,211,215,216,228,230,225,222,
229,223,224,242,237,237,238,241,231,236,233,236,238,227,234,241,239,240,235,
226,240,232,239,246,252,251,254,261,258,257,255,263,285,281,282,295,286,296,
297,252,256,276,287,256,300,301,265,262,259,277,279,308,290,291,292,253,307,
266,273,302,268,278,284,298,280,309,305,264,306,274,283,271,267,260,288,303,
275,299,270,272,269,289,304,293,294,314,314,315,316,319,321,320,318,320,323,
324,329,325,327,326,326,327,328,328,321,325,340,343,339,342,332,322,338,341,
333,331,333,330,351,352,355,360,359,362,361,363,365,364,371,373,368,369,366,
367,370,372,377,379,382,383,384,385,386,387,388,389,386,392,391,393,395,390,
404,399,406,405,409,412,411,413,414,415,416,416,419,422,420,423,426,425,427,
430,428,429,430,433,434,436,435,438,442,441,444,446,450,453,454,458,461,460,
463,464,465,469,470,474,475,476,473,478,480,482,483,487,494] );

AFLT( "2^6:(3xA5)","S4(4)",[1,4,3,2,4,2,6,6,5,7,14,8,9,7,10,24,21,11,15,8,9,
17,15,13,23,18,12,16,19,16,17,16,25,18,25,18,25,17,24,11,20,21,25,22,25,27,30,
33,32,31,32,35,54,47,55,57,56,60,48,58,36,37,47,63,55,38,65,64,37,39,50,38,39,
35,49,69,62,44,42,65,67,74,40,45,43,80,64,81,72,61,68,52,63,70,41,71,51,79,53,
78,59,66,75,46,66,67,44,66,42,42,68,44,84,88,67,92,46,77,48,68,46,37,45,41,36,
43,40,91,41,82,73,40,46,87,95,98,93,46,86,85,45,90,76,39,97,38,96,43,94,99,83,
89,100,102,107,106,109,112,109,111,111,112,108,115,116,113,110,110,114,112,
116,117,118,119,113,123,124,130,131,124,126,125,132,126,137,148,136,138,147,
142,143,127,127,135,174,160,153,184,135,152,140,168,159,134,146,173,170,180,
179,155,133,141,128,150,182,169,157,156,193,158,154,161,165,151,185,139,183,
172,162,181,164,145,194,166,149,167,187,163,171,129,144,186,188,139,141,204,
140,201,197,128,127,177,140,195,129,203,205,200,175,128,192,189,190,137,178,
138,202,139,141,196,198,206,176,199,129,191,210,212,214,213,226,231,221,220,
227,219,218,243,234,234,233,235,230,239,237,239,233,228,238,235,236,232,241,
229,232,240,236,245,251,252,253,258,261,263,256,257,285,281,286,295,282,297,
296,251,255,262,292,255,305,306,275,276,279,269,259,301,284,287,288,254,300,
260,280,309,271,270,289,307,273,302,298,274,299,264,290,267,272,266,291,304,
265,308,277,268,278,283,303,294,293,315,315,314,317,318,320,321,319,321,322,
325,326,324,328,329,329,328,327,327,320,324,344,345,337,334,331,323,336,335,
330,332,330,333,349,350,356,359,360,361,362,363,364,365,372,366,367,370,373,
368,369,371,376,378,380,381,385,384,387,386,389,388,387,390,393,391,394,392,
402,400,401,403,410,411,412,413,415,414,416,416,417,421,418,424,425,426,429,
428,430,427,428,432,431,435,436,439,443,440,444,445,449,452,451,459,460,461,
462,465,464,468,471,473,476,475,474,477,479,481,483,486,495] );

AFLT( "2^6:(3xA5)","2^2.l3(4).3",[1,2,3,4,3,4,6,5,6,8,9,11,12,9,17,19,20,10,
11,18,12,15,18,14,24,23,16,13,26,15,15,13,21,19,20,23,10,13,23,21,25,21,21,22,
21,27,30,31,28,29,29,35,34,36,33,38,39,41,45,44,43,37,49,50,49,40,35,51,50,33,
53,51,36,42,52,48,66,54,65,42,67,76,37,57,63,74,61,72,56,68,69,60,58,64,40,62,
59,73,47,75,55,46,77,71,71,67,54,71,67,65,69,54,82,93,65,95,71,80,57,63,71,58,
57,51,43,69,58,85,61,79,70,50,46,92,89,90,84,46,94,96,45,83,81,49,88,61,87,63,
86,97,78,91,99,101,102,103,104,107,108,107,108,104,106,109,113,112,110,111,
111,106,114,114,115,116,112,118,119,120,122,123,119,121,127,123,128,143,129,
130,142,131,124,125,126,125,150,193,149,155,134,144,137,189,192,138,135,152,
201,157,156,190,139,136,132,147,165,199,200,191,151,198,148,197,196,145,154,
126,161,153,187,163,194,140,164,186,146,188,159,195,160,141,133,162,158,134,
132,180,132,174,171,137,134,168,136,185,141,183,179,178,172,136,169,176,177,
128,167,141,175,125,137,170,182,184,173,181,130,166,205,206,207,208,222,225,
220,216,223,218,213,237,221,231,224,226,235,228,233,236,230,230,232,235,228,
236,234,231,227,229,227,240,241,242,244,250,249,248,246,247,275,274,273,271,
272,287,286,245,241,267,280,245,295,291,258,268,263,260,264,288,277,283,282,
243,292,266,270,297,256,259,279,294,269,296,293,251,289,252,278,254,255,265,
281,299,257,290,262,253,261,276,298,285,284,303,305,305,308,311,313,312,312,
310,315,316,320,313,318,323,318,319,319,323,317,317,336,326,332,330,324,314,
334,328,321,321,325,322,339,340,342,345,344,347,346,350,349,348,354,356,357,
351,355,358,352,353,364,366,372,373,375,378,378,377,379,380,376,386,383,384,
382,385,391,394,393,388,395,397,396,398,399,401,401,400,403,407,406,410,411,
412,413,414,416,415,415,419,418,422,421,424,427,425,430,432,435,436,439,444,
447,446,448,451,450,452,458,461,459,460,462,465,467,470,471,473,475] );

AFLT( "2^6:(3xA5)","2^2.l3(4).3",[1,2,3,4,3,4,6,5,6,8,9,12,11,9,18,19,20,10,
12,17,11,14,17,15,23,24,13,16,26,14,14,16,22,19,20,24,10,16,24,22,25,22,22,21,
22,27,30,31,28,29,29,34,35,36,33,40,37,42,45,43,44,39,48,53,48,38,34,52,53,33,
50,52,36,41,51,49,67,55,62,41,66,76,39,56,64,75,59,73,57,69,68,58,60,63,38,65,
61,72,46,74,54,47,77,70,70,66,55,70,66,62,68,55,82,92,62,96,70,80,56,64,70,60,
56,52,44,68,60,84,59,78,71,53,47,93,89,87,85,47,91,95,45,86,81,48,88,59,90,64,
83,97,79,94,99,101,102,103,104,106,108,106,108,104,107,110,113,111,109,112,
112,107,114,114,115,116,111,118,119,121,123,122,119,120,126,122,129,143,128,
131,142,130,125,124,127,124,151,194,149,153,135,146,138,191,195,137,134,154,
200,159,158,188,136,139,133,145,164,198,201,189,150,199,148,196,197,147,152,
127,160,155,186,162,193,141,165,187,144,190,157,192,161,140,132,163,156,135,
133,181,133,174,171,138,135,169,139,184,140,182,179,178,173,139,168,177,176,
129,166,140,175,124,138,170,183,185,172,180,131,167,205,206,207,208,224,226,
219,215,221,217,214,237,223,232,222,225,234,229,230,236,233,233,231,234,229,
236,235,232,227,228,227,240,242,241,243,249,250,247,245,248,275,274,272,271,
273,287,286,246,242,268,283,246,292,288,257,267,264,261,263,291,279,280,281,
244,295,265,269,296,254,262,277,293,270,297,294,252,290,251,276,256,253,266,
282,298,258,289,259,255,260,278,299,285,284,303,305,305,308,310,312,313,313,
311,314,317,319,312,318,323,318,320,320,323,316,316,337,327,335,331,325,315,
333,329,322,322,324,321,339,341,342,344,345,347,346,350,348,349,353,355,358,
352,356,357,351,354,364,365,371,374,376,377,377,378,379,380,375,385,384,383,
381,386,389,394,392,390,395,396,397,398,400,401,401,399,404,408,405,410,412,
411,414,413,415,416,416,420,417,422,421,424,428,426,430,433,434,437,438,445,
446,447,449,450,451,453,458,461,460,459,462,464,466,469,471,472,474] );

AFLT( "(A5xA5):2","S4(4)",[1,4,3,2,6,5,7,15,9,18,19,25,23,27,28,26,30,29,32,
33,31,34,54,39,45,80,85,84,100,102,101,106,107,103,105,104,109,116,112,114,
119,118,113,120,123,126,193,170,208,210,209,212,214,213,215,217,243,232,241,
225,244,245,247,249,257,311,312,315,313,317,319,324,329,346,347,348,349,352,
353,356,357,375,376,382,391,396,398,397,400,410,406,408,414,424,437,439,446,
448,457,466,471,484,491] );

AFLT( "(A5xA5):2","S4(4)",[1,3,4,2,5,6,14,10,8,23,19,22,18,26,28,27,29,30,31,
34,32,33,35,69,72,78,92,84,100,101,102,103,105,106,107,104,108,117,111,115,
120,121,110,119,122,131,174,157,208,209,210,211,215,216,214,217,242,240,235,
221,244,246,248,250,263,311,313,314,312,316,318,325,326,346,348,347,351,350,
354,355,358,375,377,380,393,397,398,396,399,409,401,407,415,423,437,438,445,
447,456,467,470,485,490] );

AFLT( "5^(1+2)+:4A5","S4(5)",[1,2,3,4,10,10,9,12,14,12,13,14,15,20,19,19,23,
27,31,40,33,36,40,36,41,35,42,34,36,43,38,38,37,39,44,57,56,60,63,73,80,73,80,
76,84,76,77,84,78,79,86,98,105,105,107,107,106,108,113,110,112,127,129,133,
132,129,136,141,142,150,150,146,148,145,151,152,144,151,142,143,144,147,149,
163,160,161,173,185,185,188,189,189,184,187,188,184,182,183,193,200,201,203,
205,204,217,220,220,225,226,228,227,231,230,229,232,243,247,252,253,250,254,
254,256,258,263,262,261,268,272,270,271,274,275,277,276,285,284,282,286,289,
290,288,292,294,295,296,303,305] );

AFLT( "5^3:(2xA5).2","S4(5)",[1,2,3,3,5,6,8,10,11,9,12,13,14,14,15,16,22,18,
26,28,27,33,36,33,41,34,40,42,36,35,37,43,38,43,38,39,47,58,45,54,61,65,80,73,
80,74,81,85,75,77,77,78,84,79,76,83,80,82,95,99,105,106,107,105,108,115,111,
114,130,132,128,129,131,132,135,141,148,142,150,142,146,143,144,152,145,150,
151,147,151,149,155,158,159,162,157,172,175,180,185,186,181,187,190,188,189,
188,192,185,184,183,182,184,191,197,202,205,203,204,209,210,211,217,216,218,
220,220,219,221,227,228,229,230,231,231,232,235,236,234,242,244,248,247,249,
251,250,254,252,253,257,258,266,265,264,269,271,273,272,277,275,276,279,281,
280,283,287,290,289,288,291,293,295,297,299,302,306] );

AFLT( "2.(A5xA5).2","S4(5)",[1,2,3,2,3,4,5,10,6,9,8,7,6,8,11,9,12,14,13,20,21,
17,16,18,19,17,22,21,23,24,25,27,24,26,31,28,26,30,29,32,40,42,41,33,35,37,43,
38,41,36,35,34,44,51,47,56,46,57,50,55,53,54,55,51,60,62,63,64,66,67,65,69,70,
68,71,72,73,74,84,76,85,78,82,81,75,78,79,74,77,86,88,87,97,96,97,89,95,98,
103,91,94,107,110,113,112,116,118,117,121,122,119,125,123,124,126,127,133,129,
128,131,134,136,139,138,152,144,141,149,148,155,154,160,163,161,164,165,169,
170,167,173,177,176,178,180,181,187,192,189,191,182,193,196,200,198,199,197,
199,194,201,206,207,214,215,217,218,216,225,226,224,222,233,240,244,245,255,
256,259,274,278,298,301] );

AFLT( "2^6:L3(2)","S6(2)",[1,2,3,5,4,5,3,4,8,12,9,17,11,16,19,18,10,12,32,28,
13,16,22,14,15,18,12,12,30,24,10,26,25,13,20,15,17,23,22,32,16,29,14,24,13,25,
21,31,20,16,23,20,27,19,26,23,21,27,32,31,38,46,47,42,49,39,37,50,51,55,52,58,
56,53,54,56,92,51,91,95,99,66,74,65,76,54,60,81,57,59,92,68,67,105,77,52,76,
108,58,74,103,128,103,99,66,96,93,82,62,97,103,83,101,120,127,107,94,131,95,
75,58,63,61,80,88,65,67,117,132,64,96,122,118,69,101,128,97,77,62,136,121,98,
122,105,102,135,122,120,74,104,129,119,82,124,104,129,72,61,124,130,109,110,
83,70,133,87,78,98,131,104,130,86,75,108,123,129,71,98,107,124,123,100,130,
115,127,94,68,121,106,121,123,137,90,73,103,85,88,70,133,74,144,114,146,126,
84,132,116,79,80,145,134,142,72,136,77,125,112,141,89,138,113,148,143,111,147,
106,102,108,140,135,64,86,110,96,139,80,109,68,144,141,125,127,137,90,79,122,
89,124,73,130,160,161,158,160,161,159,161,162,181,184,185,162,182,168,187,183,
197,204,278,216,214,205,206,279,202,238,253,283,281,242,255,196,357,198,211,
238,315,242,195,225,203,232,261,254,214,280,314,360,221,309,315,308,213,243,
240,196,219,200,205,283,322,265,234,315,314,249,306,334,279,256,237,274,311,
321,220,226,331,262,257,268,278,235,281,197,216,259,207,224,358,301,284,324,
199,314,239,310,332,244,282,222,307,201,198,289,276,344,319,251,323,267,348,
288,317,212,318,324,243,320,345,213,328,266,274,325,312,313,359,290,292,247,
288,258,244,235,300,353,309,308,361,202,289,286,287,302,321,260,343,277,282,
284,302,318,346,228,317,316,215,236,239,225,228,229,285,347,227,350,236,233,
232,289,233,248,241,265,217,287,233,327,306,249,238,210,270,231,302,334,277,
277,228,241,288,311,246,319,312,313,305,272,245,313,295,236,208,303,240,305,
303,304,250,227,209,271,317,318,316,275,319,310,264,335,349,287,366,307,320,
227,223,229,229,305,304,322,320,224,199,335,230,362,303,364,335,363,301,280,
304,230,220,293,294,365,234,291,226,269,241,316,312,326,368,333,263,367,231,
230,231,309,344,276,260,336,337,356,292,374,355,315,280,298,327,218,339,342,
343,297,296,299,350,347,346,325,329,271,258,352,341,330,351,354,376,273,338,
328,375,277,314,277,345,267,272,210,252,285,372,373,370,340,263,269,371,369,
339,273,302,398,407,432,422,433,428,404,416,408,410,434,417,412,415,436,429,
403,435,418,409,430,413,413,414,431,408,437,432,419,438,435,418,427,415,417,
430,440,443,418,438,443,455,495,489,493,496,512,491,511,519,496,499,497,493,
579,498,523,525,514,575,593,600,580,573,601,576,591,517,490,563,559,516,513,
508,494,556,522,532,592,623,492,534,533,624,497,499,586,638,510,630,587,593,
529,557,591,509,581,568,618,602,605,549,619,642,578,501,628,528,625,526,500,
634,617,550,520,590,503,560,548,506,539,558,637,517,527,565,584,633,502,554,
604,636,556,639,515,583,538,573,508,521,566,518,567,594,601,635,574,537,506,
535,506,626,564,577,561,585,595,498,627,592,524,603,536,596,582,629,553,676,
678,570,589,611,507,614,607,574,608,531,507,616,552,599,599,597,648,652,554,
677,592,605,619,589,588,546,637,654,651,641,640,675,641,640,649,602,613,555,
590,621,615,505,502,504,505,562,520,543,631,558,595,609,680,620,599,533,534,
545,650,642,632,541,641,653,643,665,542,640,568,521,597,639,501,530,645,551,
659,666,594,596,597,657,606,549,533,569,647,534,598,662,618,510,544,669,598,
504,588,589,663,540,598,504,656,509,588,573,664,566,667,585,503,673,674,505,
617,671,586,547,681,658,572,548,587,550,507,567,670,660,655,682,610,644,679,
646,638,661,672,668,571,544,531,622,612,543,540,759,765,758,759,756,739,731,
729,734,755,733,728,722,740,754,735,744,741,736,745,730,732,738,743,737,737,
730,746,735,784,757,781,800,799,808,809,810,830,852,811,855,821,812,813,880,
857,861,846,876,843,873,859,872,833,863,849,832,870,860,823,878,841,831,871,
814,856,845,848,824,865,853,871,846,883,885,826,820,837,898,904,895,894,817,
843,882,819,875,850,924,862,866,849,872,918,863,873,864,899,897,858,864,834,
922,881,874,868,870,893,822,816,844,864,828,889,896,901,879,877,913,886,825,
815,851,818,827,830,842,926,869,900,854,925,917,884,927,916,867,847,923,914,
920,890,906,887,838,907,888,915,921,928,835,836,919,932,851,829,829,839,891,
912,850,930,874,896,892,827,828,931,829,826,929,897,910,908,837,909,840,911,
905,902,903,969,959,993,1017,1015,996,1032,971,995,1030,968,970,967,1016,965,
1027,972,1031,960,1026,994,966,1014,996,1038,962,969,968,964,961,960,962,988,
989,990,961,1064,1065,1102,1086,1094,1071,1077,1098,1099,1092,1066,1075,1087,
1083,1068,1082,1090,1081,1078,1100,1074,1095,1091,1096,1069,1079,1085,1080,
1084,1076,1089,1101,1093,1067,1070,1112,1107,1106,1075,1114,1108,1111,1099,
1113,1103,1089,1073,1109,1072,1104,1105,1110,1067,1088,1097,1139,1141,1138,
1140,1195,1146,1165,1160,1182,1179,1181,1180,1184,1154,1158,1151,1168,1185,
1161,1166,1153,1156,1152,1157,1193,1186,1194,1155,1191,1147,1192,1190,1152,
1196,1147,1162,1167,1215,1214,1226,1221,1216,1224,1220,1227,1219,1218,1222,
1225,1217,1223,1228,1255,1259,1273,1267,1270,1268,1272,1276,1278,1309,1310,
1312,1311,1319,1307,1335,1336,1334,1342,1341,1361] );

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

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