File: tm4l34.tom

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#############################################################################
##
#W  tm4l34.tom           GAP table of marks library           Thomas Merkwitz
##
#H  @(#)$Id: tm4l34.tom,v 4.3 2003/12/18 07:58:42 gap Exp $
##
#Y  Copyright (C)  1997,  Lehrstuhl D fuer Mathematik,  RWTH Aachen,  Germany
##
##  This file contains the tables of marks of the groups $2^2.L3(4).2_2$,
##  $2^2.L3(4).3$ and $2^2.l3(4)$.
##
#H  tomlib history
#H  --------------
#H  $Log: tm4l34.tom,v $
#H  Revision 4.3  2003/12/18 07:58:42  gap
#H  ***&L_3(4)&:&The generators for the representative of the class $706$ in
#H  $2^2.L_3(4).2_2$ were replaced; the former generators belonged to a group
#H  in class $705$
#H      TB
#H
#H  Revision 4.2  2001/07/05 06:54:35  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/tm4l34.tom,v
#H  Working file: tm4l34.tom
#H  head: 4.1
#H  branch:
#H  locks: strict
#H  access list:
#H  symbolic names:
#H  	GAP4R2: 4.1.0.10
#H  	GAP4R2PRE2: 4.1.0.8
#H  	GAP4R2PRE1: 4.1.0.2
#H  	GAP4R1: 4.1.0.6
#H  	GAP4B5: 4.1.0.4
#H  	dec16-98b: 4.1
#H  	GAP4b4: 4.1
#H  	version-14-apr: 4.1
#H  	version-15-jun: 4.1
#H  keyword substitution: kv
#H  total revisions: 2;	selected revisions: 2
#H  description:
#H  ----------------------------
#H  revision 4.1
#H  date: 1997/11/20 11:19:16;  author: gap;  state: Exp;  lines: +2 -2
#H  changed revision number to 4.1
#H  ----------------------------
#H  revision 1.1
#H  date: 1997/11/19 13:19:43;  author: gap;  state: Exp;
#H  added new table of marks library files
#H  ==========================================================================
#H
Revision.tm4l34_tom :=
    "@(#)$Id: tm4l34.tom,v 4.3 2003/12/18 07:58:42 gap Exp $";

SetActualLibFileName("tm4l34");
LIBTOM( "2^2.L3(4).2_2",
[[1],[1,2],[1,3],[1,4],[1,5],[1,6],[1,7],[1,8],[1,2,4,9],[1,3,4,10],[1,6,11],[
1,6,7,12],[1,4,5,13],[1,7,14],[1,7,15],[1,6,7,16],[1,6,7,17],[1,3,7,18],[1,3,
7,19],[1,3,7,20],[1,3,7,21],[1,3,6,22],[1,3,6,23],[1,3,6,24],[1,2,3,6,25],[1,
2,3,7,26],[1,4,6,7,27],[1,3,28],[1,3,29],[1,3,30],[1,3,31],[1,3,6,32],[1,3,6,
33],[1,3,7,34],[1,3,7,35],[1,3,6,7,36],[1,3,6,7,37],[1,5,7,38],[1,5,6,39],[1,
4,40],[1,7,41],[1,6,42],[1,7,43],[1,3,44],[1,3,45],[1,7,46],[1,47],[1,4,8,
48],[1,2,8,49],[1,5,8,50],[1,5,8,51],[1,6,8,52],[1,7,8,53],[1,3,8,54],[1,55],[
1,4,6,7,11,12,27,56],[1,2,3,6,11,22,25,57],[1,2,3,6,7,12,18,19,22,25,26,58],[
1,2,3,6,25,28,32,59],[1,2,3,6,25,29,33,60],[1,2,3,7,26,29,35,61],[1,2,3,7,26,
28,34,62],[1,2,3,6,7,25,26,31,33,36,63],[1,2,3,6,7,25,26,30,32,37,64],[1,2,3,
6,7,25,26,30,34,37,65],[1,2,3,6,7,25,26,31,35,36,66],[1,3,6,7,21,22,28,34,37,
67],[1,3,6,7,20,22,29,35,36,68],[1,3,6,7,19,21,24,30,34,37,69],[1,3,6,7,18,20,
23,31,35,36,70],[1,3,6,22,24,30,32,71],[1,3,6,22,23,31,33,72],[1,3,7,19,20,31,
35,73],[1,3,7,18,21,30,34,74],[1,3,6,7,18,24,28,32,37,75],[1,3,6,7,19,23,29,
33,36,76],[1,3,6,7,21,22,24,30,32,37,77],[1,3,6,7,20,22,23,31,33,36,78],[1,4,
6,7,14,17,27,79],[1,4,6,7,15,16,27,80],[1,3,6,7,16,18,33,81],[1,3,6,7,17,19,
32,82],[1,3,7,14,19,34,83],[1,3,7,15,18,35,84],[1,3,6,7,15,16,19,36,85],[1,3,
6,7,14,17,18,37,86],[1,3,6,7,17,22,32,34,37,87],[1,3,6,7,16,22,33,35,36,88],[
1,2,3,4,6,7,9,10,25,26,27,89],[1,3,4,6,7,10,18,19,22,27,90],[1,3,4,6,7,10,21,
24,27,91],[1,3,4,6,7,10,20,23,27,92],[1,3,4,10,28,30,93],[1,3,4,10,29,31,94],[
1,5,7,14,38,95],[1,5,7,15,38,96],[1,5,6,7,17,38,39,97],[1,5,6,7,16,38,39,98],[
1,2,3,7,14,21,26,99],[1,2,3,7,15,20,26,100],[1,2,3,6,7,17,21,24,25,26,101],[1,
2,3,6,7,16,20,23,25,26,102],[1,3,7,18,20,29,31,103],[1,3,7,18,21,30,104],[1,3,
7,19,21,28,30,105],[1,3,7,19,20,31,106],[1,3,6,22,23,29,31,107],[1,3,6,22,24,
28,30,108],[1,3,6,7,12,15,20,35,36,109],[1,3,6,7,12,14,21,34,37,110],[1,3,6,7,
11,16,23,33,36,111],[1,3,6,7,11,17,24,32,37,112],[1,3,6,7,12,16,23,35,36,
113],[1,3,6,7,12,17,24,34,37,114],[1,3,6,7,12,16,20,33,36,115],[1,3,6,7,12,17,
21,32,37,116],[1,3,4,6,7,10,27,33,35,36,117],[1,3,4,6,7,10,27,32,34,37,118],[
1,4,5,6,7,13,27,38,39,119],[1,2,4,5,9,13,40,120],[1,3,4,5,10,13,40,121],[1,6,
7,14,16,43,122],[1,6,7,15,17,43,123],[1,6,7,16,17,43,124],[1,7,14,15,43,125],[
1,3,7,15,21,41,126],[1,3,7,14,20,41,127],[1,3,6,7,16,21,41,128],[1,3,6,7,17,
20,41,129],[1,3,7,34,35,44,130],[1,3,6,32,33,44,131],[1,3,6,7,32,35,45,132],[
1,3,6,7,33,34,45,133],[1,3,7,30,35,44,134],[1,3,7,31,34,44,135],[1,3,7,29,34,
45,136],[1,3,7,28,35,45,137],[1,3,6,29,32,44,138],[1,3,6,31,32,45,139],[1,3,6,
30,33,45,140],[1,3,6,28,33,44,141],[1,3,28,29,44,142],[1,3,28,31,45,143],[1,3,
30,31,44,144],[1,3,29,30,45,145],[1,5,6,11,39,42,146],[1,5,6,7,12,39,42,147],[
1,3,7,20,21,43,148],[1,3,7,20,21,43,149],[1,5,7,15,38,46,150],[1,5,7,14,38,46,
151],[1,5,6,7,17,38,46,152],[1,5,6,7,16,38,46,153],[1,5,7,38,43,154],[1,3,5,7,
19,38,46,155],[1,3,5,7,18,38,46,156],[1,3,5,6,23,39,42,157],[1,3,5,6,24,39,42,
158],[1,3,7,19,41,159],[1,3,7,18,41,160],[1,3,7,19,45,161],[1,3,7,19,44,162],[
1,3,7,18,45,163],[1,3,7,18,44,164],[1,3,6,22,44,45,165],[1,3,6,22,44,45,166],[
1,2,3,6,25,44,167],[1,2,3,6,25,45,168],[1,2,3,7,26,44,45,169],[1,4,6,7,27,43,
170],[1,3,7,19,43,171],[1,3,7,18,43,172],[1,4,6,7,27,41,173],[1,4,6,7,27,42,
174],[1,4,6,7,27,40,175],[1,6,7,17,46,176],[1,6,7,16,46,177],[1,7,14,46,178],[
1,7,15,46,179],[1,4,6,7,27,46,180],[1,5,7,38,43,46,181],[1,5,7,38,43,46,182],[
1,6,7,12,41,43,183],[1,6,7,16,42,184],[1,6,7,17,42,185],[1,3,4,10,44,45,186],[
1,2,3,7,26,41,43,187],[1,7,43,46,188],[1,7,41,189],[1,8,190],[1,7,47,191],[1,
6,47,192],[1,3,47,193],[1,4,47,194],[1,2,47,195],[1,7,8,15,196],[1,7,8,14,
197],[1,6,8,11,198],[1,3,8,29,199],[1,3,8,28,200],[1,4,5,8,13,48,51,201],[1,3,
4,8,10,48,54,202],[1,4,6,7,8,27,48,52,53,203],[1,5,7,8,38,50,51,53,204],[1,5,
6,8,39,50,51,52,205],[1,2,3,7,8,26,49,53,54,206],[1,2,3,6,8,25,49,52,54,207],[
1,4,8,40,48,208],[1,2,4,8,9,48,49,209],[1,4,5,8,13,48,50,210],[1,4,8,40,48,
211],[1,4,55,212],[1,5,55,213],[1,2,55,214],[1,2,3,4,6,7,9,10,11,12,18,19,22,
25,26,27,56,57,58,89,90,215],[1,2,3,4,6,7,9,10,25,26,27,28,30,32,34,37,59,62,
64,65,89,93,118,216],[1,2,3,4,6,7,9,10,25,26,27,29,31,33,35,36,60,61,63,66,89,
94,117,217],[1,3,4,6,7,10,18,19,20,22,23,27,29,31,33,35,36,68,70,72,73,76,78,
90,92,94,117,218],[1,3,4,6,7,10,18,19,21,22,24,27,28,30,32,34,37,67,69,71,74,
75,77,90,91,93,118,219],[1,3,7,18,21,30,34,74,104,220],[1,3,7,19,20,31,35,73,
106,221],[1,3,6,7,19,20,22,23,29,31,33,36,72,76,78,106,107,222],[1,3,6,7,18,
21,22,24,28,30,32,37,71,75,77,104,108,223],[1,3,6,7,18,19,21,22,24,28,30,32,
34,37,67,69,74,75,77,104,105,108,224],[1,3,6,7,18,19,20,22,23,29,31,33,35,36,
68,70,73,76,78,103,106,107,225],[1,2,3,4,6,7,9,10,14,17,21,24,25,26,27,79,89,
91,99,101,226],[1,2,3,4,6,7,9,10,15,16,20,23,25,26,27,80,89,92,100,102,227],[
1,4,5,6,7,13,14,17,27,38,39,79,95,97,119,228],[1,4,5,6,7,13,15,16,27,38,39,80,
96,98,119,229],[1,3,6,7,11,14,17,18,24,28,32,37,75,86,112,230],[1,3,6,7,11,15,
16,19,23,29,33,36,76,85,111,231],[1,3,6,7,12,15,16,18,19,20,23,31,35,36,70,73,
84,85,109,113,232],[1,3,6,7,12,14,17,18,19,21,24,30,34,37,69,74,83,86,110,114,
233],[1,3,6,7,12,15,16,19,20,22,23,29,31,33,35,36,68,73,76,78,85,88,109,113,
115,234],[1,3,6,7,12,14,17,18,21,22,24,28,30,32,34,37,67,74,75,77,86,87,110,
114,116,235],[1,3,6,7,11,12,16,18,20,22,23,31,33,35,36,70,72,78,81,88,111,113,
115,236],[1,3,6,7,11,12,17,19,21,22,24,30,32,34,37,69,71,77,82,87,112,114,116,
237],[1,3,4,6,7,10,14,17,18,19,22,27,32,34,37,79,82,83,86,87,90,118,238],[1,3,
4,6,7,10,15,16,18,19,22,27,33,35,36,80,81,84,85,88,90,117,239],[1,3,4,6,7,10,
18,19,20,22,23,27,29,31,90,92,94,103,106,107,240],[1,3,4,6,7,10,18,19,21,22,
24,27,28,30,90,91,93,104,105,108,241],[1,2,3,6,7,12,14,18,19,21,22,25,26,28,
30,34,37,58,62,65,67,74,83,99,105,110,242],[1,2,3,6,7,12,15,18,19,20,22,25,26,
29,31,35,36,58,61,66,68,73,84,100,103,109,243],[1,2,3,6,7,12,16,18,19,20,22,
23,25,26,29,31,33,36,58,60,63,72,76,81,102,103,115,244],[1,2,3,6,7,12,17,18,
19,21,22,24,25,26,28,30,32,37,58,59,64,71,75,82,101,105,116,245],[1,2,3,6,7,
12,17,18,19,21,22,24,25,26,28,30,32,34,37,58,62,64,65,69,74,75,87,101,108,114,
246],[1,2,3,6,7,12,16,18,19,20,22,23,25,26,29,31,33,35,36,58,61,63,66,70,73,
76,88,102,107,113,247],[1,2,3,6,7,11,16,20,22,23,25,26,29,31,33,35,36,57,60,
63,66,68,72,78,88,102,107,111,248],[1,2,3,6,7,11,17,21,22,24,25,26,28,30,32,
34,37,57,59,64,65,67,71,77,87,101,108,112,249],[1,2,3,6,7,12,15,16,18,19,20,
22,23,25,26,31,33,35,36,58,63,66,70,78,85,100,102,106,109,115,250],[1,2,3,6,7,
12,14,17,18,19,21,22,24,25,26,30,32,34,37,58,64,65,69,77,86,99,101,104,110,
116,251],[1,3,4,6,7,10,11,12,14,17,21,24,27,32,34,37,56,79,91,110,112,114,116,
118,252],[1,3,4,6,7,10,11,12,15,16,20,23,27,33,35,36,56,80,92,109,111,113,115,
117,253],[1,4,6,7,14,17,27,40,79,175,254],[1,4,6,7,15,16,27,40,80,175,255],[1,
4,6,7,14,17,27,42,79,174,185,256],[1,4,6,7,15,16,27,42,80,174,184,257],[1,3,4,
6,7,10,18,19,22,27,43,90,170,171,172,258],[1,3,4,6,7,10,18,19,22,27,41,90,159,
160,173,259],[1,2,3,4,6,7,9,10,25,26,27,44,45,89,167,168,169,186,260],[1,3,4,
6,7,10,18,19,22,27,44,45,90,163,164,166,186,261],[1,3,4,6,7,10,18,19,22,27,44,
45,90,161,162,165,186,262],[1,2,3,6,7,12,18,19,22,25,26,45,58,161,163,168,
263],[1,2,3,6,7,12,18,19,22,25,26,44,58,162,164,167,264],[1,2,3,6,7,12,18,19,
22,25,26,44,45,58,163,164,165,169,265],[1,2,3,6,7,12,18,19,22,25,26,44,45,58,
161,162,166,169,266],[1,2,3,6,11,22,25,44,45,57,165,166,167,168,267],[1,2,3,4,
6,7,9,10,25,26,27,41,43,89,170,173,187,268],[1,4,6,7,15,16,27,46,80,177,179,
180,269],[1,4,6,7,14,17,27,46,79,176,178,180,270],[1,4,6,7,11,12,27,41,43,56,
170,173,183,271],[1,2,3,6,7,12,18,19,22,25,26,41,43,58,160,172,183,187,272],[
1,2,3,6,7,12,18,19,22,25,26,41,43,58,159,171,183,187,273],[1,4,5,6,7,13,27,38,
39,43,46,119,170,180,181,182,274],[1,3,6,7,14,16,17,18,33,37,43,81,86,122,124,
172,275],[1,3,6,7,15,16,17,19,32,36,43,82,85,123,124,171,276],[1,3,6,7,14,15,
17,18,35,37,43,84,86,123,125,172,277],[1,3,6,7,14,15,16,19,34,36,43,83,85,122,
125,171,278],[1,3,7,14,19,20,31,34,41,83,106,127,159,279],[1,3,7,15,18,21,30,
35,41,84,104,126,160,280],[1,3,6,7,17,19,20,31,32,41,82,106,129,159,281],[1,3,
6,7,16,18,21,30,33,41,81,104,128,160,282],[1,3,6,7,15,16,19,21,28,30,36,41,85,
105,126,128,159,283],[1,3,6,7,14,17,18,20,29,31,37,41,86,103,127,129,160,
284],[1,4,5,6,7,13,27,38,39,43,119,154,170,285],[1,4,5,6,7,13,15,16,27,38,39,
46,80,119,150,153,180,286],[1,4,5,6,7,13,14,17,27,38,39,46,79,119,151,152,180,
287],[1,3,7,18,20,21,29,30,31,43,103,104,148,149,172,288],[1,3,7,19,20,21,28,
30,31,43,105,106,148,149,171,289],[1,4,5,6,7,11,12,13,27,38,39,42,56,119,146,
147,174,290],[1,3,4,5,6,7,10,13,21,24,27,38,39,42,91,119,158,174,291],[1,3,4,
5,6,7,10,13,20,23,27,38,39,42,92,119,157,174,292],[1,2,3,4,5,6,7,9,10,13,25,
26,27,38,39,40,89,119,120,121,175,293],[1,3,4,5,6,7,10,13,20,23,27,38,39,40,
92,119,121,175,294],[1,3,4,5,6,7,10,13,21,24,27,38,39,40,91,119,121,175,295],[
1,3,7,19,20,21,28,30,31,35,45,73,105,137,143,161,296],[1,3,7,19,20,21,28,30,
31,35,44,73,105,134,144,162,297],[1,3,7,18,20,21,29,30,31,34,45,74,103,136,
145,163,298],[1,3,7,18,20,21,29,30,31,34,44,74,103,135,144,164,299],[1,3,6,7,
19,21,23,28,29,30,33,36,44,76,105,141,142,162,300],[1,3,6,7,19,21,23,28,29,30,
33,36,45,76,105,140,145,161,301],[1,3,6,7,18,20,24,28,29,31,32,37,45,75,103,
139,143,163,302],[1,3,6,7,18,20,24,28,29,31,32,37,44,75,103,138,142,164,303],[
1,3,6,22,23,24,28,30,31,33,44,45,72,108,140,141,143,144,165,304],[1,3,6,22,23,
24,29,30,31,32,44,45,71,107,138,139,144,145,166,305],[1,3,6,7,20,22,24,28,29,
30,35,36,44,45,68,108,134,137,142,145,165,306],[1,3,6,7,21,22,23,28,29,31,34,
37,44,45,67,107,135,136,142,143,166,307],[1,3,5,6,7,14,17,18,37,38,46,86,95,
152,156,178,308],[1,3,5,6,7,15,16,19,36,38,46,85,96,153,155,179,309],[1,3,5,6,
7,15,16,19,36,38,39,46,85,98,150,155,177,310],[1,3,5,6,7,14,17,18,37,38,39,46,
86,97,151,156,176,311],[1,3,5,6,7,16,18,33,38,39,46,81,98,153,156,177,312],[1,
3,5,6,7,17,19,32,38,39,46,82,97,152,155,176,313],[1,3,5,7,15,18,35,38,46,84,
96,150,156,179,314],[1,3,5,7,14,19,34,38,46,83,95,151,155,178,315],[1,3,6,7,
17,19,20,31,32,35,45,73,82,132,139,161,316],[1,3,6,7,16,18,21,30,33,34,45,74,
81,133,140,163,317],[1,3,7,15,18,21,30,34,35,44,74,84,130,134,164,318],[1,3,7,
14,19,20,31,34,35,44,73,83,130,135,162,319],[1,3,6,7,17,19,23,29,32,33,36,44,
76,82,131,138,162,320],[1,3,6,7,16,18,24,28,32,33,37,44,75,81,131,141,164,
321],[1,3,6,7,14,19,23,29,33,34,36,45,76,83,133,136,161,322],[1,3,6,7,15,18,
24,28,32,35,37,45,75,84,132,137,163,323],[1,3,6,7,16,21,22,28,33,34,35,36,37,
44,45,67,88,130,133,137,141,166,324],[1,3,6,7,17,20,22,29,32,34,35,36,37,44,
45,68,87,130,132,136,138,165,325],[1,3,6,7,16,22,24,30,32,33,35,36,44,45,71,
88,131,132,134,140,166,326],[1,3,6,7,17,22,23,31,32,33,34,37,44,45,72,87,131,
133,135,139,165,327],[1,3,4,6,7,10,15,16,21,24,27,41,80,91,126,128,173,328],[
1,3,4,6,7,10,14,17,20,23,27,41,79,92,127,129,173,329],[1,3,4,5,6,7,10,13,18,
19,22,27,38,39,46,90,119,155,156,180,330],[1,3,4,6,7,10,20,21,23,24,27,43,91,
92,148,149,170,331],[1,4,6,7,14,15,16,17,27,43,79,80,122,123,124,125,170,
332],[1,2,3,6,7,25,26,29,30,33,34,37,45,60,65,133,136,140,145,168,333],[1,2,3,
6,7,25,26,28,31,32,35,36,45,59,66,132,137,139,143,168,334],[1,2,3,6,7,25,26,
29,30,32,35,37,44,45,61,64,132,134,138,145,169,335],[1,2,3,6,7,25,26,28,31,33,
34,36,44,45,62,63,133,135,141,143,169,336],[1,2,3,7,26,28,29,34,35,44,45,61,
62,130,136,137,142,169,337],[1,2,3,6,7,25,26,30,31,34,35,36,37,44,65,66,130,
134,135,144,167,338],[1,2,3,6,7,25,26,30,31,32,33,36,37,44,45,63,64,131,139,
140,144,169,339],[1,2,3,6,25,28,29,32,33,44,59,60,131,138,141,142,167,340],[1,
2,3,6,7,15,17,20,21,24,25,26,41,43,100,101,123,126,129,148,187,341],[1,2,3,6,
7,14,16,20,21,23,25,26,41,43,99,102,122,127,128,148,187,342],[1,2,3,6,7,16,17,
20,21,23,24,25,26,41,43,101,102,124,128,129,149,187,343],[1,2,3,7,14,15,20,21,
26,41,43,99,100,125,126,127,149,187,344],[1,3,6,7,12,16,17,20,21,32,33,36,37,
41,43,115,116,124,128,129,148,183,345],[1,3,6,7,12,14,15,20,21,34,35,36,37,41,
43,109,110,125,126,127,148,183,346],[1,3,6,7,12,14,16,20,21,33,34,36,37,41,43,
110,115,122,127,128,149,183,347],[1,3,6,7,12,15,17,20,21,32,35,36,37,41,43,
109,116,123,126,129,149,183,348],[1,3,4,6,7,10,27,32,33,34,35,36,37,44,45,117,
118,130,131,132,133,186,349],[1,3,4,10,28,29,30,31,44,45,93,94,142,143,144,
145,186,350],[1,3,5,6,7,12,16,23,35,36,38,39,42,98,113,147,157,184,351],[1,3,
5,6,7,12,17,24,34,37,38,39,42,97,114,147,158,185,352],[1,3,5,6,7,11,16,23,33,
36,38,39,42,98,111,146,157,184,353],[1,3,5,6,7,11,17,24,32,37,38,39,42,97,112,
146,158,185,354],[1,5,6,7,16,17,38,39,43,46,97,98,124,152,153,154,182,355],[1,
5,7,14,15,38,43,46,95,96,125,150,151,154,182,356],[1,5,6,7,14,16,38,39,43,46,
95,98,122,151,153,154,181,357],[1,5,6,7,15,17,38,39,43,46,96,97,123,150,152,
154,181,358],[1,3,4,6,7,10,27,29,31,32,34,37,44,45,94,118,135,136,138,139,186,
359],[1,3,4,6,7,10,27,28,30,33,35,36,44,45,93,117,134,137,140,141,186,360],[1,
3,7,19,20,31,44,106,162,361],[1,3,7,19,20,31,45,106,161,362],[1,3,7,19,20,31,
44,45,106,161,162,363],[1,3,7,18,21,30,44,104,164,364],[1,3,7,18,21,30,45,104,
163,365],[1,3,7,18,21,30,44,45,104,163,164,366],[1,3,6,7,14,17,18,37,44,86,
164,367],[1,3,6,7,14,17,18,37,45,86,163,368],[1,3,6,7,14,17,18,37,44,45,86,
163,164,369],[1,3,6,7,15,16,19,36,44,85,162,370],[1,3,6,7,15,16,19,36,45,85,
161,371],[1,3,6,7,15,16,19,36,44,45,85,161,162,372],[1,3,6,7,18,24,28,32,37,
43,44,75,164,172,373],[1,3,6,7,18,24,28,32,37,43,45,75,163,172,374],[1,3,6,7,
19,23,29,33,36,43,45,76,161,171,375],[1,3,6,7,19,23,29,33,36,43,44,76,162,171,
376],[1,3,7,19,20,31,35,43,44,73,162,171,377],[1,3,7,19,20,31,35,43,45,73,161,
171,378],[1,3,7,18,21,30,34,43,44,74,164,172,379],[1,3,7,18,21,30,34,43,45,74,
163,172,380],[1,3,6,7,15,16,19,36,42,85,184,381],[1,3,6,7,14,17,18,37,42,86,
185,382],[1,3,6,7,16,18,33,42,81,184,383],[1,3,6,7,17,19,32,42,82,185,384],[1,
3,6,7,19,23,29,33,36,41,44,76,159,162,385],[1,3,6,7,19,23,29,33,36,41,45,76,
159,161,386],[1,3,6,7,18,24,28,32,37,41,45,75,160,163,387],[1,3,6,7,18,24,28,
32,37,41,44,75,160,164,388],[1,3,7,18,21,30,34,41,45,74,160,163,389],[1,3,7,
18,21,30,34,41,44,74,160,164,390],[1,3,7,19,20,31,35,41,44,73,159,162,391],[1,
3,7,19,20,31,35,41,45,73,159,161,392],[1,3,4,6,7,10,21,24,27,40,46,91,175,180,
393],[1,3,4,6,7,10,20,23,27,40,46,92,175,180,394],[1,2,3,4,6,7,9,10,25,26,27,
42,46,89,174,180,395],[1,3,4,6,7,10,20,23,27,42,46,92,174,180,396],[1,3,4,6,7,
10,21,24,27,42,46,91,174,180,397],[1,4,5,6,7,13,27,38,39,40,41,119,173,175,
398],[1,4,5,6,7,13,27,38,39,41,42,119,173,174,399],[1,4,6,7,14,17,27,40,42,79,
174,175,400],[1,4,6,7,15,16,27,40,42,80,174,175,401],[1,4,6,7,11,12,27,40,46,
56,175,180,402],[1,3,6,7,15,16,19,36,46,85,179,403],[1,3,6,7,14,17,18,37,46,
86,178,404],[1,3,7,14,19,34,46,83,178,405],[1,3,7,15,18,35,46,84,179,406],[1,
3,4,6,7,10,18,19,22,27,40,42,90,174,175,407],[1,3,6,7,11,16,23,33,36,42,46,
111,177,184,408],[1,3,6,7,11,17,24,32,37,42,46,112,176,185,409],[1,3,6,7,12,
16,23,35,36,42,46,113,177,184,410],[1,3,6,7,12,17,24,34,37,42,46,114,176,185,
411],[1,4,6,7,27,42,43,170,174,412],[1,4,6,7,27,40,43,170,175,413],[1,4,6,7,
27,40,42,43,170,174,175,414],[1,4,6,7,27,41,42,46,173,174,180,415],[1,4,6,7,
27,40,41,46,173,175,180,416],[1,4,6,7,27,43,46,170,180,188,417],[1,3,7,18,41,
160,189,418],[1,3,7,19,41,159,189,419],[1,4,6,7,27,41,173,189,420],[1,5,7,14,
15,38,43,46,125,150,151,178,179,181,188,421],[1,5,6,7,15,17,38,43,46,123,150,
152,176,179,182,188,422],[1,5,6,7,14,16,38,43,46,122,151,153,177,178,182,188,
423],[1,5,6,7,16,17,38,43,46,124,152,153,176,177,181,188,424],[1,3,5,7,19,38,
43,46,154,155,171,181,182,188,425],[1,3,5,7,18,38,43,46,154,156,172,181,182,
188,426],[1,4,8,48,190,427],[1,2,8,49,190,428],[1,6,8,52,190,429],[1,7,8,53,
190,430],[1,3,8,54,190,431],[1,5,8,50,51,190,432],[1,2,4,9,47,194,195,433],[1,
3,4,10,47,193,194,434],[1,4,6,7,27,47,191,192,194,435],[1,2,3,7,26,47,191,193,
195,436],[1,2,3,6,25,47,192,193,195,437],[1,7,46,47,191,438],[1,6,42,47,192,
439],[1,8,55,440],[1,7,8,14,15,43,53,125,196,441],[1,7,8,14,15,43,53,125,197,
442],[1,6,7,8,15,17,43,52,123,196,443],[1,6,7,8,14,16,43,52,122,197,444],[1,3,
7,8,14,20,41,54,127,197,445],[1,3,7,8,15,21,41,54,126,196,446],[1,3,7,8,28,35,
45,53,137,200,447],[1,3,7,8,29,34,45,53,136,199,448],[1,3,6,8,29,32,44,52,138,
199,449],[1,3,6,8,28,33,44,52,141,200,450],[1,5,7,8,15,38,46,51,150,196,451],[
1,5,7,8,14,38,46,51,151,197,452],[1,3,8,28,29,44,54,142,200,453],[1,3,8,28,31,
45,54,143,200,454],[1,3,8,29,30,45,54,145,199,455],[1,3,8,28,29,44,54,142,199,
456],[1,5,6,8,11,39,42,51,146,198,457],[1,4,6,7,8,15,16,27,48,80,196,458],[1,
4,6,7,8,14,17,27,48,79,197,459],[1,5,7,8,15,38,50,96,196,460],[1,5,7,8,14,38,
50,95,197,461],[1,3,4,8,10,28,30,48,93,200,462],[1,3,4,8,10,29,31,48,94,199,
463],[1,2,3,7,8,15,20,26,49,100,196,464],[1,2,3,7,8,14,21,26,49,99,197,465],[
1,2,3,7,8,26,29,35,49,61,199,466],[1,2,3,7,8,26,28,34,49,62,200,467],[1,2,3,6,
8,25,28,32,49,59,200,468],[1,2,3,6,8,25,29,33,49,60,199,469],[1,2,3,6,8,11,22,
25,49,57,198,470],[1,4,6,7,8,11,12,27,48,56,198,471],[1,2,4,5,8,9,13,40,48,49,
51,120,201,208,209,472],[1,3,4,5,8,10,13,40,48,50,54,121,202,208,210,473],[1,
2,4,5,8,9,13,40,48,49,50,120,209,210,211,474],[1,3,4,5,8,10,13,40,48,51,54,
121,201,202,211,475],[1,4,5,6,7,8,13,27,38,39,48,50,51,52,53,119,201,203,204,
205,210,476],[1,2,3,4,6,7,8,9,10,25,26,27,48,49,52,53,54,89,202,203,206,207,
209,477],[1,4,6,7,8,27,40,48,52,53,175,203,208,211,478],[1,4,5,13,55,212,213,
479],[1,2,4,9,55,212,214,480],[1,4,40,55,212,481],[1,3,4,6,7,10,18,19,21,22,
24,27,28,30,32,34,37,67,69,71,74,75,77,90,91,93,104,105,108,118,219,220,223,
224,241,482],[1,3,4,6,7,10,18,19,20,22,23,27,29,31,33,35,36,68,70,72,73,76,78,
90,92,94,103,106,107,117,218,221,222,225,240,483],[1,3,4,6,7,10,11,12,14,17,
18,19,21,22,24,27,28,30,32,34,37,56,67,69,71,74,75,77,79,82,83,86,87,90,91,93,
110,112,114,116,118,219,230,233,235,237,238,252,484],[1,3,4,6,7,10,11,12,15,
16,18,19,20,22,23,27,29,31,33,35,36,56,68,70,72,73,76,78,80,81,84,85,88,90,92,
94,109,111,113,115,117,218,231,232,234,236,239,253,485],[1,2,3,6,7,12,14,17,
18,19,21,22,24,25,26,28,30,32,34,37,58,62,64,65,67,69,74,75,77,83,86,87,99,
101,104,105,108,110,114,116,220,224,233,235,242,246,251,486],[1,2,3,6,7,12,15,
16,18,19,20,22,23,25,26,29,31,33,35,36,58,61,63,66,68,70,73,76,78,84,85,88,
100,102,103,106,107,109,113,115,221,225,232,234,243,247,250,487],[1,2,3,6,7,
11,12,14,17,18,19,21,22,24,25,26,28,30,32,34,37,57,58,59,62,64,65,67,69,71,74,
75,77,82,86,87,99,101,104,105,108,110,112,114,116,223,224,230,235,237,245,246,
249,251,488],[1,2,3,6,7,11,12,15,16,18,19,20,22,23,25,26,29,31,33,35,36,57,58,
60,61,63,66,68,70,72,73,76,78,81,85,88,100,102,103,106,107,109,111,113,115,
222,225,231,234,236,244,247,248,250,489],[1,2,3,4,6,7,9,10,11,12,14,17,18,19,
21,22,24,25,26,27,28,30,32,34,37,56,57,58,59,62,64,65,67,69,71,74,75,77,79,82,
83,86,87,89,90,91,93,99,101,104,105,108,110,112,114,116,118,215,216,219,226,
238,241,242,245,246,249,251,252,490],[1,2,3,4,6,7,9,10,11,12,15,16,18,19,20,
22,23,25,26,27,29,31,33,35,36,56,57,58,60,61,63,66,68,70,72,73,76,78,80,81,84,
85,88,89,90,92,94,100,102,103,106,107,109,111,113,115,117,215,217,218,227,239,
240,243,244,247,248,250,253,491],[1,2,3,4,5,6,7,9,10,13,14,17,21,24,25,26,27,
38,39,40,79,89,91,95,97,99,101,119,120,121,175,226,228,254,293,295,492],[1,2,
3,4,5,6,7,9,10,13,15,16,20,23,25,26,27,38,39,40,80,89,92,96,98,100,102,119,
120,121,175,227,229,255,293,294,493],[1,3,4,6,7,10,15,16,18,19,21,22,24,27,28,
30,33,35,36,41,80,81,84,85,88,90,91,93,104,105,108,117,126,128,159,160,173,
239,241,259,280,282,283,328,494],[1,3,4,6,7,10,14,17,18,19,20,22,23,27,29,31,
32,34,37,41,79,82,83,86,87,90,92,94,103,106,107,118,127,129,159,160,173,238,
240,259,279,281,284,329,495],[1,3,4,6,7,10,18,19,20,21,22,23,24,27,28,29,30,
31,43,90,91,92,93,94,103,104,105,106,107,108,148,149,170,171,172,240,241,258,
288,289,331,496],[1,2,3,6,7,12,14,15,17,18,19,20,21,22,24,25,26,29,30,31,32,
34,35,36,37,41,43,58,61,64,65,66,68,69,73,77,84,86,99,100,101,103,104,109,110,
116,123,125,126,127,129,148,149,160,172,183,187,243,251,272,277,280,284,288,
341,344,346,348,497],[1,2,3,6,7,12,14,15,16,18,19,20,21,22,23,25,26,28,30,31,
33,34,35,36,37,41,43,58,62,63,65,66,67,70,74,78,83,85,99,100,102,105,106,109,
110,115,122,125,126,127,128,148,149,159,171,183,187,242,250,273,278,279,283,
289,342,344,346,347,498],[1,2,3,6,7,12,15,16,17,18,19,20,21,22,23,24,25,26,28,
30,31,32,33,35,36,37,41,43,58,59,63,64,66,70,71,75,78,82,85,100,101,102,105,
106,109,115,116,123,124,126,128,129,148,149,159,171,183,187,245,250,273,276,
281,283,289,341,343,345,348,499],[1,2,3,6,7,12,14,16,17,18,19,20,21,22,23,24,
25,26,29,30,31,32,33,34,36,37,41,43,58,60,63,64,65,69,72,76,77,81,86,99,101,
102,103,104,110,115,116,122,124,127,128,129,148,149,160,172,183,187,244,251,
272,275,282,284,288,342,343,345,347,500],[1,3,4,6,7,10,14,15,16,17,18,19,22,
27,32,33,34,35,36,37,43,79,80,81,82,83,84,85,86,87,88,90,117,118,122,123,124,
125,170,171,172,238,239,258,275,276,277,278,332,501],[1,3,4,5,6,7,10,13,14,17,
18,19,22,27,32,34,37,38,39,46,79,82,83,86,87,90,95,97,118,119,151,152,155,156,
176,178,180,228,238,270,287,308,311,313,315,330,502],[1,3,4,5,6,7,10,13,15,16,
18,19,22,27,33,35,36,38,39,46,80,81,84,85,88,90,96,98,117,119,150,153,155,156,
177,179,180,229,239,269,286,309,310,312,314,330,503],[1,2,3,6,7,12,14,16,18,
19,20,21,22,23,25,26,28,29,30,31,33,34,36,37,45,58,60,62,63,65,67,72,74,76,81,
83,99,102,103,105,110,115,133,136,140,145,161,163,168,242,244,263,298,301,317,
322,333,504],[1,2,3,6,7,12,15,17,18,19,20,21,22,24,25,26,28,29,30,31,32,35,36,
37,45,58,59,61,64,66,68,71,73,75,82,84,100,101,103,105,109,116,132,137,139,
143,161,163,168,243,245,263,296,302,316,323,334,505],[1,2,3,6,7,12,14,15,18,
19,20,21,22,25,26,28,29,30,31,34,35,36,37,44,58,61,62,65,66,67,68,73,74,83,84,
99,100,103,105,109,110,130,134,135,144,162,164,167,242,243,264,297,299,318,
319,338,506],[1,2,3,6,7,12,16,17,18,19,20,21,22,23,24,25,26,28,29,30,31,32,33,
36,37,44,58,59,60,63,64,71,72,75,76,81,82,101,102,103,105,115,116,131,138,141,
142,162,164,167,244,245,264,300,303,320,321,340,507],[1,2,3,6,7,12,15,17,18,
19,20,21,22,24,25,26,28,29,30,31,32,34,35,36,37,44,45,58,61,62,64,65,66,68,69,
73,74,75,84,87,100,101,103,108,109,114,130,132,134,136,137,138,142,145,163,
164,165,169,243,246,265,298,303,306,318,323,325,335,337,508],[1,2,3,6,7,12,14,
16,18,19,20,21,22,23,25,26,28,29,30,31,33,34,35,36,37,44,45,58,61,62,63,65,66,
67,70,73,74,76,83,88,99,102,105,107,110,113,130,133,135,136,137,141,142,143,
161,162,166,169,242,247,266,296,300,307,319,322,324,336,337,509],[1,2,3,6,7,
12,16,17,18,19,20,21,22,23,24,25,26,28,29,30,31,32,33,34,36,37,44,45,58,60,62,
63,64,65,69,72,74,75,76,81,87,101,102,103,108,114,115,131,133,135,139,140,141,
143,144,163,164,165,169,244,246,265,299,302,304,317,321,327,336,339,510],[1,2,
3,6,7,12,16,17,18,19,20,21,22,23,24,25,26,28,29,30,31,32,33,35,36,37,44,45,58,
59,61,63,64,66,70,71,73,75,76,82,88,101,102,105,107,113,116,131,132,134,138,
139,140,144,145,161,162,166,169,245,247,266,297,301,305,316,320,326,335,339,
511],[1,2,3,6,7,11,16,17,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,
44,45,57,59,60,63,64,65,66,67,68,71,72,77,78,87,88,101,102,107,108,111,112,
130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,165,166,167,
168,248,249,267,304,305,306,307,324,325,326,327,333,334,338,340,512],[1,3,4,5,
6,7,10,11,12,13,15,16,20,23,27,33,35,36,38,39,42,56,80,92,96,98,109,111,113,
115,117,119,146,147,157,174,184,229,253,257,290,292,351,353,513],[1,3,4,5,6,7,
10,11,12,13,14,17,21,24,27,32,34,37,38,39,42,56,79,91,95,97,110,112,114,116,
118,119,146,147,158,174,185,228,252,256,290,291,352,354,514],[1,3,4,6,7,10,18,
19,20,21,22,23,24,27,28,29,30,31,33,35,36,44,45,68,70,72,73,76,78,90,91,92,93,
94,104,105,108,117,134,137,140,141,142,143,144,145,161,162,165,186,218,241,
262,296,297,300,301,304,306,350,360,515],[1,3,4,6,7,10,18,19,20,21,22,23,24,
27,28,29,30,31,32,34,37,44,45,67,69,71,74,75,77,90,91,92,93,94,103,106,107,
118,135,136,138,139,142,143,144,145,163,164,166,186,219,240,261,298,299,302,
303,305,307,350,359,516],[1,3,4,6,7,10,14,17,18,19,20,22,23,27,29,31,32,33,34,
35,36,37,44,45,68,70,72,73,76,78,79,82,83,86,87,90,92,94,117,118,130,131,132,
133,135,136,138,139,161,162,165,186,218,238,262,316,319,320,322,325,327,349,
359,517],[1,3,4,6,7,10,15,16,18,19,21,22,24,27,28,30,32,33,34,35,36,37,44,45,
67,69,71,74,75,77,80,81,84,85,88,90,91,93,117,118,130,131,132,133,134,137,140,
141,163,164,166,186,219,239,261,317,318,321,323,324,326,349,360,518],[1,4,5,6,
7,13,14,15,16,17,27,38,39,43,46,79,80,95,96,97,98,119,122,123,124,125,150,151,
152,153,154,170,180,181,182,228,229,274,285,286,287,332,355,356,357,358,519],[
1,2,3,4,6,7,9,10,14,15,16,17,20,21,23,24,25,26,27,41,43,79,80,89,91,92,99,100,
101,102,122,123,124,125,126,127,128,129,148,149,170,173,187,226,227,268,328,
329,331,332,341,342,343,344,520],[1,3,4,6,7,10,11,12,14,15,16,17,20,21,23,24,
27,32,33,34,35,36,37,41,43,56,79,80,91,92,109,110,111,112,113,114,115,116,117,
118,122,123,124,125,126,127,128,129,148,149,170,173,183,252,253,271,328,329,
331,332,345,346,347,348,521],[1,2,3,4,6,7,9,10,25,26,27,28,29,30,31,32,33,34,
35,36,37,44,45,59,60,61,62,63,64,65,66,89,93,94,117,118,130,131,132,133,134,
135,136,137,138,139,140,141,142,143,144,145,167,168,169,186,216,217,260,333,
334,335,336,337,338,339,340,349,350,359,360,522],[1,2,3,4,6,7,9,10,11,12,18,
19,22,25,26,27,41,43,56,57,58,89,90,159,160,170,171,172,173,183,187,215,258,
259,268,271,272,273,523],[1,2,3,4,6,7,9,10,11,12,18,19,22,25,26,27,44,45,56,
57,58,89,90,161,162,163,164,165,166,167,168,169,186,215,260,261,262,263,264,
265,266,267,524],[1,4,6,7,11,12,27,41,43,56,170,173,183,271,525],[1,2,3,6,11,
22,25,44,45,57,165,166,167,168,267,526],[1,2,3,4,6,7,9,10,25,26,27,41,43,44,
45,89,167,168,169,170,173,186,187,260,268,527],[1,3,5,6,7,11,14,17,18,24,28,
32,37,38,46,75,86,95,112,152,156,178,230,308,404,528],[1,3,5,6,7,11,15,16,19,
23,29,33,36,38,46,76,85,96,111,153,155,179,231,309,403,529],[1,3,5,6,7,12,14,
17,18,19,21,24,30,34,37,38,46,69,74,83,86,95,110,114,151,152,155,156,178,233,
308,315,404,405,530],[1,3,5,6,7,12,15,16,18,19,20,23,31,35,36,38,46,70,73,84,
85,96,109,113,150,153,155,156,179,232,309,314,403,406,531],[1,3,6,7,12,14,15,
17,18,19,21,24,30,34,35,37,43,44,69,74,83,84,86,110,114,123,125,130,134,164,
172,233,277,318,367,379,532],[1,3,6,7,12,14,15,16,18,19,20,23,31,34,35,36,43,
44,70,73,83,84,85,109,113,122,125,130,135,162,171,232,278,319,370,377,533],[1,
3,6,7,11,14,16,17,18,24,28,32,33,37,43,44,75,81,86,112,122,124,131,141,164,
172,230,275,321,367,373,534],[1,3,6,7,11,15,16,17,19,23,29,32,33,36,43,44,76,
82,85,111,123,124,131,138,162,171,231,276,320,370,376,535],[1,3,6,7,11,14,15,
17,18,24,28,32,35,37,43,45,75,84,86,112,123,125,132,137,163,172,230,277,323,
368,374,536],[1,3,6,7,11,14,15,16,19,23,29,33,34,36,43,45,76,83,85,111,122,
125,133,136,161,171,231,278,322,371,375,537],[1,3,6,7,12,15,16,17,18,19,20,23,
31,32,35,36,43,45,70,73,82,84,85,109,113,123,124,132,139,161,171,232,276,316,
371,378,538],[1,3,6,7,12,14,16,17,18,19,21,24,30,33,34,37,43,45,69,74,81,83,
86,110,114,122,124,133,140,163,172,233,275,317,368,380,539],[1,3,6,7,12,15,16,
17,19,20,22,23,29,31,32,33,35,36,43,44,45,68,73,76,78,82,85,88,109,113,115,
123,124,131,132,138,139,161,162,171,234,276,316,320,372,375,377,540],[1,3,6,7,
12,14,16,17,18,21,22,24,28,30,32,33,34,37,43,44,45,67,74,75,77,81,86,87,110,
114,116,122,124,131,133,140,141,163,164,172,235,275,317,321,369,374,379,541],[
1,3,6,7,12,14,15,17,18,21,22,24,28,30,32,34,35,37,43,44,45,67,74,75,77,84,86,
87,110,114,116,123,125,130,132,134,137,163,164,172,235,277,318,323,369,373,
380,542],[1,3,6,7,12,14,15,16,19,20,22,23,29,31,33,34,35,36,43,44,45,68,73,76,
78,83,85,88,109,113,115,122,125,130,133,135,136,161,162,171,234,278,319,322,
372,376,378,543],[1,3,7,14,19,20,31,34,35,41,44,73,83,106,127,130,135,159,162,
221,279,319,361,391,544],[1,3,7,15,18,21,30,34,35,41,44,74,84,104,126,130,134,
160,164,220,280,318,364,390,545],[1,3,6,7,17,19,20,31,32,35,41,45,73,82,106,
129,132,139,159,161,221,281,316,362,392,546],[1,3,6,7,16,18,21,30,33,34,41,45,
74,81,104,128,133,140,160,163,220,282,317,365,389,547],[1,3,6,7,16,18,21,22,
24,28,30,32,33,37,41,44,71,75,77,81,104,108,128,131,141,160,164,223,282,321,
364,388,548],[1,3,6,7,17,19,20,22,23,29,31,32,33,36,41,44,72,76,78,82,106,107,
129,131,138,159,162,222,281,320,361,385,549],[1,3,6,7,15,18,21,22,24,28,30,32,
35,37,41,45,71,75,77,84,104,108,126,132,137,160,163,223,280,323,365,387,550],[
1,3,6,7,14,19,20,22,23,29,31,33,34,36,41,45,72,76,78,83,106,107,127,133,136,
159,161,222,279,322,362,386,551],[1,3,6,7,17,18,19,20,22,23,29,31,32,33,35,36,
41,44,45,68,70,73,76,78,82,103,106,107,129,131,132,138,139,159,161,162,225,
281,316,320,363,386,391,552],[1,3,6,7,16,18,19,21,22,24,28,30,32,33,34,37,41,
44,45,67,69,74,75,77,81,104,105,108,128,131,133,140,141,160,163,164,224,282,
317,321,366,387,390,553],[1,3,6,7,14,18,19,20,22,23,29,31,33,34,35,36,41,44,
45,68,70,73,76,78,83,103,106,107,127,130,133,135,136,159,161,162,225,279,319,
322,363,385,392,554],[1,3,6,7,15,18,19,21,22,24,28,30,32,34,35,37,41,44,45,67,
69,74,75,77,84,104,105,108,126,130,132,134,137,160,163,164,224,280,318,323,
366,388,389,555],[1,3,6,7,12,15,16,18,19,20,21,23,28,30,31,35,36,41,44,45,70,
73,84,85,105,109,113,126,128,134,137,143,144,159,161,162,232,283,296,297,372,
391,392,556],[1,3,6,7,12,14,17,18,19,20,21,24,29,30,31,34,37,41,44,45,69,74,
83,86,103,110,114,127,129,135,136,144,145,160,163,164,233,284,298,299,369,389,
390,557],[1,3,6,7,11,15,16,19,21,23,28,29,30,33,36,41,44,45,76,85,105,111,126,
128,140,141,142,145,159,161,162,231,283,300,301,372,385,386,558],[1,3,6,7,11,
14,17,18,20,24,28,29,31,32,37,41,44,45,75,86,103,112,127,129,138,139,142,143,
160,163,164,230,284,302,303,369,387,388,559],[1,3,6,7,12,15,16,19,20,21,22,23,
28,29,30,31,33,35,36,41,45,68,73,76,78,85,88,105,109,113,115,126,128,137,140,
143,145,159,161,234,283,296,301,371,386,392,560],[1,3,6,7,12,15,16,19,20,21,
22,23,28,29,30,31,33,35,36,41,44,68,73,76,78,85,88,105,109,113,115,126,128,
134,141,142,144,159,162,234,283,297,300,370,385,391,561],[1,3,6,7,12,14,17,18,
20,21,22,24,28,29,30,31,32,34,37,41,44,67,74,75,77,86,87,103,110,114,116,127,
129,135,138,142,144,160,164,235,284,299,303,367,388,390,562],[1,3,6,7,12,14,
17,18,20,21,22,24,28,29,30,31,32,34,37,41,45,67,74,75,77,86,87,103,110,114,
116,127,129,136,139,143,145,160,163,235,284,298,302,368,387,389,563],[1,2,3,4,
5,6,7,9,10,13,15,16,20,23,25,26,27,38,39,40,42,46,80,89,92,100,102,119,120,
121,150,153,157,174,175,180,227,286,292,293,394,395,401,564],[1,2,3,4,5,6,7,9,
10,13,14,17,21,24,25,26,27,38,39,40,42,46,79,89,91,99,101,119,120,121,151,152,
158,174,175,180,226,287,291,293,393,395,400,565],[1,3,5,6,7,11,14,17,18,24,28,
32,37,38,39,42,46,75,86,97,112,146,151,156,158,176,185,230,311,354,382,409,
566],[1,3,5,6,7,11,15,16,19,23,29,33,36,38,39,42,46,76,85,98,111,146,150,155,
157,177,184,231,310,353,381,408,567],[1,3,5,6,7,12,14,17,18,19,21,24,30,34,37,
38,39,42,46,69,74,83,86,97,110,114,147,151,156,158,176,185,233,311,352,382,
411,568],[1,3,5,6,7,12,15,16,18,19,20,23,31,35,36,38,39,42,46,70,73,84,85,98,
109,113,147,150,155,157,177,184,232,310,351,381,410,569],[1,3,5,6,7,11,12,16,
18,20,22,23,31,33,35,36,38,39,42,46,70,72,78,81,88,98,111,113,115,146,147,153,
156,157,177,184,236,312,351,353,383,408,410,570],[1,3,5,6,7,11,12,17,19,21,22,
24,30,32,34,37,38,39,42,46,69,71,77,82,87,97,112,114,116,146,147,152,155,158,
176,185,237,313,352,354,384,409,411,571],[1,3,4,5,6,7,10,13,18,19,20,22,23,27,
29,31,38,39,40,42,46,90,92,94,103,106,107,119,121,155,156,157,174,175,180,240,
292,294,330,394,396,407,572],[1,3,4,5,6,7,10,13,18,19,21,22,24,27,28,30,38,39,
40,42,46,90,91,93,104,105,108,119,121,155,156,158,174,175,180,241,291,295,330,
393,397,407,573],[1,2,3,4,5,6,7,9,10,11,12,13,18,19,22,25,26,27,38,39,40,42,
46,56,57,58,89,90,119,120,121,146,147,155,156,174,175,180,215,290,293,330,395,
402,407,574],[1,3,4,5,6,7,10,13,14,17,20,23,27,38,39,40,41,42,79,92,95,97,119,
121,127,129,157,173,174,175,228,292,294,329,398,399,400,575],[1,3,4,5,6,7,10,
13,15,16,21,24,27,38,39,40,41,42,80,91,96,98,119,121,126,128,158,173,174,175,
229,291,295,328,398,399,401,576],[1,3,6,7,18,19,20,21,22,23,28,29,30,31,33,35,
36,43,45,68,70,73,76,78,103,105,106,107,137,140,143,145,148,149,161,171,225,
289,296,301,362,375,378,577],[1,3,6,7,18,19,20,21,22,23,28,29,30,31,33,35,36,
43,44,68,70,73,76,78,103,105,106,107,134,141,142,144,148,149,162,171,225,289,
297,300,361,376,377,578],[1,3,6,7,18,19,20,21,22,24,28,29,30,31,32,34,37,43,
44,67,69,74,75,77,103,104,105,108,135,138,142,144,148,149,164,172,224,288,299,
303,364,373,379,579],[1,3,6,7,18,19,20,21,22,24,28,29,30,31,32,34,37,43,45,67,
69,74,75,77,103,104,105,108,136,139,143,145,148,149,163,172,224,288,298,302,
365,374,380,580],[1,3,6,7,19,20,21,22,23,28,29,30,31,33,36,43,44,45,72,76,78,
105,106,107,140,141,142,145,148,149,161,162,171,222,289,300,301,363,375,376,
581],[1,3,6,7,18,20,21,22,24,28,29,30,31,32,37,43,44,45,71,75,77,103,104,108,
138,139,142,143,148,149,163,164,172,223,288,302,303,366,373,374,582],[1,3,7,
19,20,21,28,30,31,35,43,44,45,73,105,106,134,137,143,144,148,149,161,162,171,
221,289,296,297,363,377,378,583],[1,3,7,18,20,21,29,30,31,34,43,44,45,74,103,
104,135,136,144,145,148,149,163,164,172,220,288,298,299,366,379,380,584],[1,3,
4,5,6,7,10,11,12,13,15,16,20,23,27,33,35,36,38,39,40,42,46,56,80,92,109,111,
113,115,117,119,121,146,147,150,153,174,175,180,253,286,290,294,396,401,402,
585],[1,3,4,5,6,7,10,11,12,13,14,17,21,24,27,32,34,37,38,39,40,42,46,56,79,91,
110,112,114,116,118,119,121,146,147,151,152,174,175,180,252,287,290,295,397,
400,402,586],[1,3,4,6,7,10,14,17,18,19,22,27,32,34,37,44,45,79,82,83,86,87,90,
118,163,164,166,186,238,261,367,368,369,587],[1,3,4,6,7,10,15,16,18,19,22,27,
33,35,36,44,45,80,81,84,85,88,90,117,161,162,165,186,239,262,370,371,372,
588],[1,3,4,6,7,10,14,17,18,19,22,27,32,34,37,42,79,82,83,86,87,90,118,174,
185,238,256,382,384,589],[1,3,4,6,7,10,15,16,18,19,22,27,33,35,36,42,80,81,84,
85,88,90,117,174,184,239,257,381,383,590],[1,3,4,6,7,10,15,16,18,19,22,27,33,
35,36,40,42,80,81,84,85,88,90,117,174,175,184,239,255,257,401,407,591],[1,3,4,
6,7,10,14,17,18,19,22,27,32,34,37,40,42,79,82,83,86,87,90,118,174,175,185,238,
254,256,400,407,592],[1,3,4,6,7,10,18,19,20,22,23,27,29,31,33,35,36,43,44,45,
68,70,72,73,76,78,90,92,94,117,161,162,165,170,171,172,186,218,258,262,375,
376,377,378,593],[1,3,4,6,7,10,18,19,21,22,24,27,28,30,32,34,37,43,44,45,67,
69,71,74,75,77,90,91,93,118,163,164,166,170,171,172,186,219,258,261,373,374,
379,380,594],[1,3,4,6,7,10,11,12,14,17,21,24,27,32,34,37,40,46,56,79,91,110,
112,114,116,118,175,176,178,180,252,254,270,393,402,595],[1,3,4,6,7,10,11,12,
15,16,20,23,27,33,35,36,40,46,56,80,92,109,111,113,115,117,175,177,179,180,
253,255,269,394,402,596],[1,3,4,6,7,10,11,12,15,16,20,23,27,33,35,36,42,46,56,
80,92,109,111,113,115,117,174,177,179,180,184,253,257,269,408,410,597],[1,3,4,
6,7,10,11,12,14,17,21,24,27,32,34,37,42,46,56,79,91,110,112,114,116,118,174,
176,178,180,185,252,256,270,409,411,598],[1,3,4,6,7,10,15,16,18,19,22,27,33,
35,36,46,80,81,84,85,88,90,117,177,179,180,239,269,403,406,599],[1,3,4,6,7,10,
14,17,18,19,22,27,32,34,37,46,79,82,83,86,87,90,118,176,178,180,238,270,404,
405,600],[1,2,3,4,6,7,9,10,14,17,21,24,25,26,27,42,46,79,89,91,99,101,174,176,
178,180,185,226,256,270,395,397,601],[1,2,3,4,6,7,9,10,15,16,20,23,25,26,27,
42,46,80,89,92,100,102,174,177,179,180,184,227,257,269,395,396,602],[1,3,4,6,
7,10,18,19,20,22,23,27,29,31,44,45,90,92,94,103,106,107,161,162,165,186,240,
262,361,362,363,603],[1,3,4,6,7,10,18,19,21,22,24,27,28,30,44,45,90,91,93,104,
105,108,163,164,166,186,241,261,364,365,366,604],[1,2,3,6,7,12,15,16,18,19,20,
22,23,25,26,31,33,35,36,44,45,58,63,66,70,78,85,100,102,106,109,115,161,162,
163,166,168,169,250,263,266,362,363,371,372,605],[1,2,3,6,7,12,15,16,18,19,20,
22,23,25,26,31,33,35,36,44,45,58,63,66,70,78,85,100,102,106,109,115,161,162,
164,166,167,169,250,264,266,361,363,370,372,606],[1,2,3,6,7,12,14,17,18,19,21,
22,24,25,26,30,32,34,37,44,45,58,64,65,69,77,86,99,101,104,110,116,162,163,
164,165,167,169,251,264,265,364,366,367,369,607],[1,2,3,6,7,12,14,17,18,19,21,
22,24,25,26,30,32,34,37,44,45,58,64,65,69,77,86,99,101,104,110,116,161,163,
164,165,168,169,251,263,265,365,366,368,369,608],[1,3,4,6,7,10,18,19,20,22,23,
27,29,31,33,35,36,41,44,45,68,70,72,73,76,78,90,92,94,117,159,160,161,162,165,
173,186,218,259,262,385,386,391,392,609],[1,3,4,6,7,10,18,19,21,22,24,27,28,
30,32,34,37,41,44,45,67,69,71,74,75,77,90,91,93,118,159,160,163,164,166,173,
186,219,259,261,387,388,389,390,610],[1,2,3,6,7,12,16,18,19,20,22,23,25,26,29,
31,33,35,36,41,43,44,58,61,63,66,70,73,76,88,102,107,113,159,162,164,167,171,
183,187,247,264,273,376,377,385,391,611],[1,2,3,6,7,12,16,18,19,20,22,23,25,
26,29,31,33,35,36,41,43,45,58,61,63,66,70,73,76,88,102,107,113,159,161,163,
168,171,183,187,247,263,273,375,378,386,392,612],[1,2,3,6,7,12,17,18,19,21,22,
24,25,26,28,30,32,34,37,41,43,44,58,62,64,65,69,74,75,87,101,108,114,160,162,
164,167,172,183,187,246,264,272,373,379,388,390,613],[1,2,3,6,7,12,17,18,19,
21,22,24,25,26,28,30,32,34,37,41,43,45,58,62,64,65,69,74,75,87,101,108,114,
160,161,163,168,172,183,187,246,263,272,374,380,387,389,614],[1,2,3,6,7,12,14,
18,19,21,22,25,26,28,30,34,37,41,43,44,45,58,62,65,67,74,83,99,105,110,160,
163,164,165,169,172,183,187,242,265,272,379,380,389,390,615],[1,2,3,6,7,12,15,
18,19,20,22,25,26,29,31,35,36,41,43,44,45,58,61,66,68,73,84,100,103,109,159,
161,162,166,169,171,183,187,243,266,273,377,378,391,392,616],[1,2,3,6,7,12,17,
18,19,21,22,24,25,26,28,30,32,37,41,43,44,45,58,59,64,71,75,82,101,105,116,
160,163,164,165,169,172,183,187,245,265,272,373,374,387,388,617],[1,2,3,6,7,
12,16,18,19,20,22,23,25,26,29,31,33,36,41,43,44,45,58,60,63,72,76,81,102,103,
115,159,161,162,166,169,171,183,187,244,266,273,375,376,385,386,618],[1,3,4,6,
7,10,18,19,22,27,40,42,43,90,170,171,172,174,175,258,407,412,413,414,619],[1,
4,5,6,7,11,12,13,27,38,39,41,42,43,56,119,146,147,154,170,173,174,183,271,285,
290,399,412,620],[1,2,3,4,5,6,7,9,10,13,25,26,27,38,39,40,41,43,89,119,120,
121,154,170,173,175,187,268,285,293,398,413,621],[1,3,4,5,6,7,10,13,20,21,23,
24,27,38,39,40,43,46,91,92,119,121,148,149,170,175,180,181,182,274,294,295,
331,393,394,413,622],[1,3,4,5,6,7,10,13,20,21,23,24,27,38,39,42,43,46,91,92,
119,148,149,157,158,170,174,180,181,182,274,291,292,331,396,397,412,623],[1,3,
4,5,6,7,10,13,15,16,21,24,27,38,39,40,41,46,80,91,119,121,126,128,150,153,173,
175,180,255,286,295,328,393,398,416,624],[1,3,4,5,6,7,10,13,14,17,20,23,27,38,
39,40,41,46,79,92,119,121,127,129,151,152,173,175,180,254,287,294,329,394,398,
416,625],[1,3,4,5,6,7,10,13,15,16,21,24,27,38,39,41,42,46,80,91,119,126,128,
150,153,158,173,174,180,184,257,286,291,328,397,399,415,626],[1,3,4,5,6,7,10,
13,14,17,20,23,27,38,39,41,42,46,79,92,119,127,129,151,152,157,173,174,180,
185,256,287,292,329,396,399,415,627],[1,4,6,7,11,12,27,40,41,43,46,56,170,173,
175,180,183,188,271,402,413,416,417,628],[1,2,3,4,6,7,9,10,25,26,27,41,42,43,
46,89,170,173,174,180,187,188,268,395,412,415,417,629],[1,3,4,5,6,7,10,13,18,
19,22,27,38,39,43,46,90,119,154,155,156,170,171,172,180,181,182,188,258,274,
285,330,417,425,426,630],[1,4,5,6,7,13,14,15,16,17,27,38,39,43,46,79,80,119,
122,123,124,125,150,151,152,153,170,176,177,178,179,180,181,182,188,269,270,
274,286,287,332,417,421,422,423,424,631],[1,4,6,7,14,15,16,17,27,40,42,43,79,
80,122,123,124,125,170,174,175,254,255,332,400,401,413,414,632],[1,4,6,7,14,
15,16,17,27,40,42,43,79,80,122,123,124,125,170,174,175,184,185,256,257,332,
400,401,412,414,633],[1,2,3,4,5,6,7,9,10,13,25,26,27,38,39,40,41,42,43,46,89,
119,120,121,170,173,174,175,180,181,182,187,268,274,293,395,399,414,416,634],[
1,4,5,6,7,11,12,13,27,38,39,40,41,42,43,46,56,119,146,147,170,173,174,175,180,
181,182,183,271,274,290,398,402,414,415,635],[1,3,5,6,7,15,16,19,36,38,39,44,
46,85,98,150,155,162,177,179,310,370,403,636],[1,3,5,6,7,15,16,19,36,38,39,45,
46,85,98,150,155,161,177,179,310,371,403,637],[1,3,5,6,7,14,17,18,37,38,39,44,
46,86,97,151,156,164,176,178,311,367,404,638],[1,3,5,6,7,14,17,18,37,38,39,45,
46,86,97,151,156,163,176,178,311,368,404,639],[1,3,5,6,7,14,17,18,37,38,42,45,
46,86,95,152,156,163,178,185,308,368,382,640],[1,3,5,6,7,14,17,18,37,38,42,44,
46,86,95,152,156,164,178,185,308,367,382,641],[1,3,5,6,7,15,16,19,36,38,42,45,
46,85,96,153,155,161,179,184,309,371,381,642],[1,3,5,6,7,15,16,19,36,38,42,44,
46,85,96,153,155,162,179,184,309,370,381,643],[1,3,6,7,15,16,17,19,32,36,42,
43,46,82,85,123,124,171,179,184,276,381,403,644],[1,3,6,7,14,16,17,18,33,37,
42,43,46,81,86,122,124,172,178,185,275,382,404,645],[1,3,6,7,14,15,16,19,34,
36,42,43,46,83,85,122,125,171,179,184,278,381,403,646],[1,3,6,7,14,15,17,18,
35,37,42,43,46,84,86,123,125,172,178,185,277,382,404,647],[1,3,6,7,16,18,21,
30,33,41,42,81,104,128,160,184,282,383,648],[1,3,6,7,17,19,20,31,32,41,42,82,
106,129,159,185,281,384,649],[1,3,7,14,19,20,31,34,41,46,83,106,127,159,178,
279,405,650],[1,3,7,15,18,21,30,35,41,46,84,104,126,160,179,280,406,651],[1,3,
4,6,7,10,14,17,20,23,27,40,41,42,46,79,92,127,129,173,174,175,176,178,180,270,
329,394,396,400,415,416,652],[1,3,4,6,7,10,15,16,21,24,27,40,41,42,46,80,91,
126,128,173,174,175,177,179,180,269,328,393,397,401,415,416,653],[1,3,4,5,6,7,
10,13,18,19,22,27,38,39,40,41,42,46,90,119,155,156,159,160,173,174,175,180,
259,330,398,399,407,415,416,654],[1,3,7,15,18,21,30,35,41,84,104,126,160,189,
280,418,655],[1,3,7,14,19,20,31,34,41,83,106,127,159,189,279,419,656],[1,3,6,
7,16,18,21,30,33,41,81,104,128,160,189,282,418,657],[1,3,6,7,17,19,20,31,32,
41,82,106,129,159,189,281,419,658],[1,3,5,6,7,14,15,17,18,35,37,38,39,43,46,
84,86,95,96,97,123,125,150,151,152,154,156,172,176,178,179,181,182,188,277,
308,311,314,356,358,421,422,426,659],[1,3,5,6,7,14,15,16,19,34,36,38,39,43,46,
83,85,95,96,98,122,125,150,151,153,154,155,171,177,178,179,181,182,188,278,
309,310,315,356,357,421,423,425,660],[1,3,5,6,7,14,16,17,18,33,37,38,39,43,46,
81,86,95,97,98,122,124,151,152,153,154,156,172,176,177,178,181,182,188,275,
308,311,312,355,357,423,424,426,661],[1,3,5,6,7,15,16,17,19,32,36,38,39,43,46,
82,85,96,97,98,123,124,150,152,153,154,155,171,176,177,179,181,182,188,276,
309,310,313,355,358,422,424,425,662],[1,3,4,6,7,10,18,19,22,27,41,90,159,160,
173,189,259,418,419,420,663],[1,3,4,5,6,7,10,13,20,21,23,24,27,38,39,40,42,43,
91,92,119,121,148,149,154,157,158,170,174,175,285,291,292,294,295,331,414,
664],[1,2,3,4,6,7,9,10,25,26,27,41,43,89,170,173,187,189,268,420,665],[1,4,6,
7,11,12,27,41,43,56,170,173,183,189,271,420,666],[1,3,4,6,7,10,20,21,23,24,27,
40,42,43,46,91,92,148,149,170,174,175,180,188,331,393,394,396,397,414,417,
667],[1,3,4,8,10,48,54,190,202,427,431,668],[1,2,3,7,8,26,49,53,54,190,206,
428,430,431,669],[1,2,3,6,8,25,49,52,54,190,207,428,429,431,670],[1,4,6,7,8,
27,48,52,53,190,203,427,429,430,671],[1,2,4,8,9,48,49,190,209,427,428,672],[1,
7,8,43,53,190,430,673],[1,3,8,45,54,190,431,674],[1,3,8,44,54,190,431,675],[1,
7,8,41,53,190,430,676],[1,5,6,8,39,50,51,52,190,205,429,432,677],[1,5,7,8,38,
50,51,53,190,204,430,432,678],[1,4,5,8,13,48,50,51,190,201,210,427,432,679],[
1,4,8,40,48,190,208,211,427,680],[1,2,3,4,6,7,9,10,25,26,27,47,89,191,192,193,
194,195,433,434,435,436,437,681],[1,4,6,7,27,46,47,180,191,192,194,435,438,
682],[1,4,6,7,27,42,47,174,191,192,194,435,439,683],[1,4,8,48,55,212,440,
684],[1,2,8,49,55,214,440,685],[1,5,8,50,55,213,440,686],[1,3,6,7,8,11,15,16,
19,23,29,33,36,76,85,111,196,198,199,231,687],[1,3,6,7,8,11,14,17,18,24,28,32,
37,75,86,112,197,198,200,230,688],[1,3,4,6,7,8,10,14,17,20,23,27,41,48,54,79,
92,127,129,173,197,202,329,445,459,689],[1,3,4,6,7,8,10,15,16,21,24,27,41,48,
54,80,91,126,128,173,196,202,328,446,458,690],[1,4,6,7,8,14,15,16,17,27,43,48,
52,53,79,80,122,123,124,125,170,197,203,332,442,444,459,691],[1,4,6,7,8,14,15,
16,17,27,43,48,52,53,79,80,122,123,124,125,170,196,203,332,441,443,458,692],[
1,5,7,8,14,15,38,43,46,50,51,53,95,96,125,150,151,154,182,197,204,356,442,452,
461,693],[1,5,7,8,14,15,38,43,46,50,51,53,95,96,125,150,151,154,182,196,204,
356,441,451,460,694],[1,5,6,7,8,15,17,38,39,43,46,50,51,52,96,97,123,150,152,
154,181,196,205,358,443,451,460,695],[1,5,6,7,8,14,16,38,39,43,46,50,51,52,95,
98,122,151,153,154,181,197,205,357,444,452,461,696],[1,4,5,6,7,8,13,15,16,27,
38,39,46,48,51,80,119,150,153,180,196,201,286,451,458,697],[1,4,5,6,7,8,13,14,
17,27,38,39,46,48,51,79,119,151,152,180,197,201,287,452,459,698],[1,2,3,6,7,8,
14,16,20,21,23,25,26,41,43,49,52,54,99,102,122,127,128,148,187,197,207,342,
444,445,465,699],[1,2,3,6,7,8,15,17,20,21,24,25,26,41,43,49,52,54,100,101,123,
126,129,148,187,196,207,341,443,446,464,700],[1,2,3,7,8,14,15,20,21,26,41,43,
49,53,54,99,100,125,126,127,149,187,196,206,344,441,446,464,701],[1,2,3,7,8,
14,15,20,21,26,41,43,49,53,54,99,100,125,126,127,149,187,197,206,344,442,445,
465,702],[1,3,4,8,10,28,29,30,31,44,45,48,54,93,94,142,143,144,145,186,199,
202,350,455,456,463,703],[1,3,4,8,10,28,29,30,31,44,45,48,54,93,94,142,143,
144,145,186,200,202,350,453,454,462,704],[1,2,3,6,7,8,25,26,29,30,33,34,37,45,
49,53,54,60,65,133,136,140,145,168,199,206,333,448,455,469,705],[1,2,3,6,7,8,
25,26,28,31,32,35,36,45,49,53,54,59,66,132,137,139,143,168,200,206,334,447,
454,468,706],[1,2,3,6,7,8,25,26,29,30,32,35,37,44,45,49,52,54,61,64,132,134,
138,145,169,199,207,335,449,455,466,707],[1,2,3,6,7,8,25,26,28,31,33,34,36,44,
45,49,52,54,62,63,133,135,141,143,169,200,207,336,450,454,467,708],[1,2,3,6,8,
25,28,29,32,33,44,49,52,54,59,60,131,138,141,142,167,199,207,340,449,456,469,
709],[1,2,3,6,8,25,28,29,32,33,44,49,52,54,59,60,131,138,141,142,167,200,207,
340,450,453,468,710],[1,2,3,7,8,26,28,29,34,35,44,45,49,53,54,61,62,130,136,
137,142,169,200,206,337,447,453,467,711],[1,2,3,7,8,26,28,29,34,35,44,45,49,
53,54,61,62,130,136,137,142,169,199,206,337,448,456,466,712],[1,4,5,6,7,8,11,
12,13,27,38,39,42,48,51,56,119,146,147,174,198,201,290,457,471,713],[1,3,4,6,
7,8,10,27,28,30,33,35,36,44,45,48,52,53,93,117,134,137,140,141,186,200,203,
360,447,450,462,714],[1,3,4,6,7,8,10,27,29,31,32,34,37,44,45,48,52,53,94,118,
135,136,138,139,186,199,203,359,448,449,463,715],[1,2,3,4,6,7,8,9,10,14,17,21,
24,25,26,27,48,49,79,89,91,99,101,197,209,226,459,465,716],[1,2,3,4,6,7,8,9,
10,15,16,20,23,25,26,27,48,49,80,89,92,100,102,196,209,227,458,464,717],[1,4,
5,6,7,8,13,14,17,27,38,39,48,50,79,95,97,119,197,210,228,459,461,718],[1,4,5,
6,7,8,13,15,16,27,38,39,48,50,80,96,98,119,196,210,229,458,460,719],[1,2,3,4,
6,7,8,9,10,25,26,27,28,30,32,34,37,48,49,59,62,64,65,89,93,118,200,209,216,
462,467,468,720],[1,2,3,4,6,7,8,9,10,25,26,27,29,31,33,35,36,48,49,60,61,63,
66,89,94,117,199,209,217,463,466,469,721],[1,2,3,4,6,7,8,9,10,11,12,18,19,22,
25,26,27,48,49,56,57,58,89,90,198,209,215,470,471,722],[1,4,6,7,8,14,17,27,40,
48,79,175,197,211,254,459,723],[1,4,6,7,8,15,16,27,40,48,80,175,196,211,255,
458,724],[1,4,6,7,8,14,17,27,40,42,48,79,174,175,197,208,400,459,725],[1,4,6,
7,8,15,16,27,40,42,48,80,174,175,196,208,401,458,726],[1,4,6,7,8,11,12,27,40,
46,48,56,175,180,198,208,402,471,727],[1,2,3,4,5,6,7,8,9,10,13,25,26,27,38,39,
40,48,49,50,51,52,53,54,89,119,120,121,175,201,202,203,204,205,206,207,208,
209,210,211,293,472,473,474,475,476,477,478,728],[1,2,4,5,9,13,40,55,120,212,
213,214,479,480,481,729],[1,7,8,15,47,53,191,196,730],[1,7,8,14,47,53,191,197,
731],[1,6,8,11,47,52,192,198,732],[1,3,8,29,47,54,193,199,733],[1,3,8,28,47,
54,193,200,734],[1,2,3,4,6,7,9,10,11,12,14,17,18,19,21,22,24,25,26,27,28,30,
32,34,37,56,57,58,59,62,64,65,67,69,71,74,75,77,79,82,83,86,87,89,90,91,93,99,
101,104,105,108,110,112,114,116,118,215,216,219,220,223,224,226,230,233,235,
237,238,241,242,245,246,249,251,252,482,484,486,488,490,735],[1,2,3,4,6,7,9,
10,11,12,15,16,18,19,20,22,23,25,26,27,29,31,33,35,36,56,57,58,60,61,63,66,68,
70,72,73,76,78,80,81,84,85,88,89,90,92,94,100,102,103,106,107,109,111,113,115,
117,215,217,218,221,222,225,227,231,232,234,236,239,240,243,244,247,248,250,
253,483,485,487,489,491,736],[1,2,3,4,6,7,9,10,11,12,18,19,22,25,26,27,41,43,
56,57,58,89,90,159,160,170,171,172,173,183,187,215,258,259,268,271,272,273,
523,525,737],[1,2,3,4,6,7,9,10,11,12,18,19,22,25,26,27,44,45,56,57,58,89,90,
161,162,163,164,165,166,167,168,169,186,215,260,261,262,263,264,265,266,267,
524,526,738],[1,2,3,4,6,7,9,10,11,12,18,19,22,25,26,27,41,43,44,45,56,57,58,
89,90,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,183,186,187,
215,258,259,260,261,262,263,264,265,266,267,268,271,272,273,523,524,527,739],[
1,3,4,5,6,7,10,11,12,13,15,16,18,19,20,22,23,27,29,31,33,35,36,38,39,46,56,68,
70,72,73,76,78,80,81,84,85,88,90,92,94,96,98,109,111,113,115,117,119,150,153,
155,156,177,179,180,218,229,231,232,234,236,239,253,269,286,309,310,312,314,
330,403,406,485,503,529,531,599,740],[1,3,4,5,6,7,10,11,12,13,14,17,18,19,21,
22,24,27,28,30,32,34,37,38,39,46,56,67,69,71,74,75,77,79,82,83,86,87,90,91,93,
95,97,110,112,114,116,118,119,151,152,155,156,176,178,180,219,228,230,233,235,
237,238,252,270,287,308,311,313,315,330,404,405,484,502,528,530,600,741],[1,3,
4,6,7,10,11,12,14,15,16,17,18,19,20,22,23,27,29,31,32,33,34,35,36,37,43,44,45,
56,68,70,72,73,76,78,79,80,81,82,83,84,85,86,87,88,90,92,94,109,111,113,115,
117,118,122,123,124,125,130,131,132,133,135,136,138,139,161,162,165,170,171,
172,186,218,231,232,234,236,238,239,253,258,262,275,276,277,278,316,319,320,
322,325,327,332,349,359,370,371,372,375,376,377,378,485,501,517,533,535,537,
538,540,543,588,593,742],[1,3,4,6,7,10,11,12,14,15,16,17,18,19,21,22,24,27,28,
30,32,33,34,35,36,37,43,44,45,56,67,69,71,74,75,77,79,80,81,82,83,84,85,86,87,
88,90,91,93,110,112,114,116,117,118,122,123,124,125,130,131,132,133,134,137,
140,141,163,164,166,170,171,172,186,219,230,233,235,237,238,239,252,258,261,
275,276,277,278,317,318,321,323,324,326,332,349,360,367,368,369,373,374,379,
380,484,501,518,532,534,536,539,541,542,587,594,743],[1,2,3,4,5,6,7,9,10,11,
12,13,14,17,18,19,21,22,24,25,26,27,28,30,32,34,37,38,39,40,42,46,56,57,58,59,
62,64,65,67,69,71,74,75,77,79,82,83,86,87,89,90,91,93,95,97,99,101,104,105,
108,110,112,114,116,118,119,120,121,146,147,151,152,155,156,158,174,175,176,
178,180,185,215,216,219,226,228,238,241,242,245,246,249,251,252,254,256,270,
287,290,291,293,295,308,311,313,315,330,352,354,393,395,397,400,402,407,490,
492,502,514,565,573,574,586,592,595,601,744],[1,2,3,4,5,6,7,9,10,11,12,13,15,
16,18,19,20,22,23,25,26,27,29,31,33,35,36,38,39,40,42,46,56,57,58,60,61,63,66,
68,70,72,73,76,78,80,81,84,85,88,89,90,92,94,96,98,100,102,103,106,107,109,
111,113,115,117,119,120,121,146,147,150,153,155,156,157,174,175,177,179,180,
184,215,217,218,227,229,239,240,243,244,247,248,250,253,255,257,269,286,290,
292,293,294,309,310,312,314,330,351,353,394,395,396,401,402,407,491,493,503,
513,564,572,574,585,591,596,602,745],[1,3,4,6,7,10,11,12,15,16,18,19,20,21,22,
23,24,27,28,29,30,31,33,35,36,41,44,45,56,68,70,72,73,76,78,80,81,84,85,88,90,
91,92,93,94,104,105,108,109,111,113,115,117,126,128,134,137,140,141,142,143,
144,145,159,160,161,162,165,173,186,218,231,232,234,236,239,241,253,259,262,
280,282,283,296,297,300,301,304,306,328,350,360,370,371,372,385,386,391,392,
485,494,515,556,558,560,561,588,609,746],[1,3,4,6,7,10,11,12,14,17,18,19,20,
21,22,23,24,27,28,29,30,31,32,34,37,41,44,45,56,67,69,71,74,75,77,79,82,83,86,
87,90,91,92,93,94,103,106,107,110,112,114,116,118,127,129,135,136,138,139,142,
143,144,145,159,160,163,164,166,173,186,219,230,233,235,237,238,240,252,259,
261,279,281,284,298,299,302,303,305,307,329,350,359,367,368,369,387,388,389,
390,484,495,516,557,559,562,563,587,610,747],[1,3,4,6,7,10,14,17,18,19,20,22,
23,27,29,31,32,33,34,35,36,37,41,44,45,68,70,72,73,76,78,79,82,83,86,87,90,92,
94,103,106,107,117,118,127,129,130,131,132,133,135,136,138,139,159,160,161,
162,165,173,186,218,221,222,225,238,240,259,262,279,281,284,316,319,320,322,
325,327,329,349,359,361,362,363,385,386,391,392,483,495,517,544,546,549,551,
552,554,603,609,748],[1,3,4,6,7,10,15,16,18,19,21,22,24,27,28,30,32,33,34,35,
36,37,41,44,45,67,69,71,74,75,77,80,81,84,85,88,90,91,93,104,105,108,117,118,
126,128,130,131,132,133,134,137,140,141,159,160,163,164,166,173,186,219,220,
223,224,239,241,259,261,280,282,283,317,318,321,323,324,326,328,349,360,364,
365,366,387,388,389,390,482,494,518,545,547,548,550,553,555,604,610,749],[1,3,
4,6,7,10,18,19,20,21,22,23,24,27,28,29,30,31,33,35,36,43,44,45,68,70,72,73,76,
78,90,91,92,93,94,103,104,105,106,107,108,117,134,137,140,141,142,143,144,145,
148,149,161,162,165,170,171,172,186,218,221,222,225,240,241,258,262,288,289,
296,297,300,301,304,306,331,350,360,361,362,363,375,376,377,378,483,496,515,
577,578,581,583,593,603,750],[1,3,4,6,7,10,18,19,20,21,22,23,24,27,28,29,30,
31,32,34,37,43,44,45,67,69,71,74,75,77,90,91,92,93,94,103,104,105,106,107,108,
118,135,136,138,139,142,143,144,145,148,149,163,164,166,170,171,172,186,219,
220,223,224,240,241,258,261,288,289,298,299,302,303,305,307,331,350,359,364,
365,366,373,374,379,380,482,496,516,579,580,582,584,594,604,751],[1,2,3,6,7,
11,12,14,16,17,18,19,20,21,22,23,24,25,26,28,29,30,31,32,33,34,36,37,41,43,44,
45,57,58,59,60,62,63,64,65,67,69,71,72,74,75,76,77,81,82,86,87,99,101,102,103,
104,105,108,110,112,114,115,116,122,124,127,128,129,131,133,135,138,139,140,
141,142,143,144,148,149,160,162,163,164,165,167,169,172,183,187,223,224,230,
235,237,244,245,246,249,251,264,265,272,275,282,284,288,299,300,302,303,304,
317,320,321,327,336,339,340,342,343,345,347,364,366,367,369,373,374,379,387,
388,390,488,500,507,510,534,541,548,553,559,562,579,582,607,613,617,752],[1,2,
3,6,7,11,12,15,16,17,18,19,20,21,22,23,24,25,26,28,29,30,31,32,33,35,36,37,41,
43,44,45,57,58,59,60,61,63,64,66,68,70,71,72,73,75,76,78,81,82,85,88,100,101,
102,103,105,106,107,109,111,113,115,116,123,124,126,128,129,131,132,134,138,
139,140,141,142,144,145,148,149,159,161,162,164,166,167,169,171,183,187,222,
225,231,234,236,244,245,247,248,250,264,266,273,276,281,283,289,297,300,301,
303,305,316,320,321,326,335,339,340,341,343,345,348,361,363,370,372,375,376,
377,385,386,391,489,499,507,511,535,540,549,552,558,561,578,581,606,611,618,
753],[1,2,3,6,7,12,14,16,17,18,19,20,21,22,23,24,25,26,28,29,30,31,32,33,34,
36,37,41,43,44,45,58,60,62,63,64,65,67,69,72,74,75,76,77,81,83,86,87,99,101,
102,103,104,105,108,110,114,115,116,122,124,127,128,129,131,133,135,136,139,
140,141,143,144,145,148,149,160,161,163,164,165,168,169,172,183,187,220,224,
233,235,242,244,246,251,263,265,272,275,282,284,288,298,299,301,302,304,317,
321,322,327,333,336,339,342,343,345,347,365,366,368,369,374,379,380,387,389,
390,486,500,504,510,539,541,547,553,557,563,580,584,608,614,615,754],[1,2,3,6,
7,12,15,16,17,18,19,20,21,22,23,24,25,26,28,29,30,31,32,33,35,36,37,41,43,44,
45,58,59,61,63,64,66,68,70,71,73,75,76,78,82,84,85,88,100,101,102,103,105,106,
107,109,113,115,116,123,124,126,128,129,131,132,134,137,138,139,140,143,144,
145,148,149,159,161,162,163,166,168,169,171,183,187,221,225,232,234,243,245,
247,250,263,266,273,276,281,283,289,296,297,301,302,305,316,320,323,326,334,
335,339,341,343,345,348,362,363,371,372,375,377,378,386,391,392,487,499,505,
511,538,540,546,552,556,560,577,583,605,612,616,755],[1,2,3,6,7,11,12,14,15,
16,18,19,20,21,22,23,25,26,28,29,30,31,33,34,35,36,37,41,43,44,45,57,58,60,61,
62,63,65,66,67,68,70,72,73,74,76,78,81,83,85,88,99,100,102,103,105,106,107,
109,110,111,113,115,122,125,126,127,128,130,133,135,136,137,140,141,142,143,
145,148,149,159,161,162,163,166,168,169,171,183,187,222,225,231,234,236,242,
244,247,248,250,263,266,273,278,279,283,289,296,298,300,301,307,317,319,322,
324,333,336,337,342,344,346,347,362,363,371,372,375,376,378,385,386,392,489,
498,504,509,537,543,551,554,558,560,577,581,605,612,618,756],[1,2,3,6,7,11,12,
14,15,17,18,19,20,21,22,24,25,26,28,29,30,31,32,34,35,36,37,41,43,44,45,57,58,
59,61,62,64,65,66,67,68,69,71,73,74,75,77,82,84,86,87,99,100,101,103,104,105,
108,109,110,112,114,116,123,125,126,127,129,130,132,134,136,137,138,139,142,
143,145,148,149,160,161,163,164,165,168,169,172,183,187,223,224,230,235,237,
243,245,246,249,251,263,265,272,277,280,284,288,296,298,302,303,306,316,318,
323,325,334,335,337,341,344,346,348,365,366,368,369,373,374,380,387,388,389,
488,497,505,508,536,542,550,555,559,563,580,582,608,614,617,757],[1,2,3,6,7,
12,14,15,16,18,19,20,21,22,23,25,26,28,29,30,31,33,34,35,36,37,41,43,44,45,58,
61,62,63,65,66,67,68,70,73,74,76,78,83,84,85,88,99,100,102,103,105,106,107,
109,110,113,115,122,125,126,127,128,130,133,134,135,136,137,141,142,143,144,
148,149,159,161,162,164,166,167,169,171,183,187,221,225,232,234,242,243,247,
250,264,266,273,278,279,283,289,296,297,299,300,307,318,319,322,324,336,337,
338,342,344,346,347,361,363,370,372,376,377,378,385,391,392,487,498,506,509,
533,543,544,554,556,561,578,583,606,611,616,758],[1,2,3,6,7,12,14,15,17,18,19,
20,21,22,24,25,26,28,29,30,31,32,34,35,36,37,41,43,44,45,58,61,62,64,65,66,67,
68,69,73,74,75,77,83,84,86,87,99,100,101,103,104,105,108,109,110,114,116,123,
125,126,127,129,130,132,134,135,136,137,138,142,144,145,148,149,160,162,163,
164,165,167,169,172,183,187,220,224,233,235,242,243,246,251,264,265,272,277,
280,284,288,297,298,299,303,306,318,319,323,325,335,337,338,341,344,346,348,
364,366,367,369,373,379,380,388,389,390,486,497,506,508,532,542,545,555,557,
562,579,584,607,613,615,759],[1,3,4,5,6,7,10,11,12,13,14,17,18,19,21,22,24,27,
28,30,32,34,37,38,39,42,46,56,67,69,71,74,75,77,79,82,83,86,87,90,91,93,95,97,
110,112,114,116,118,119,146,147,151,152,155,156,158,174,176,178,180,185,219,
228,230,233,235,237,238,252,256,270,287,290,291,308,311,313,315,330,352,354,
382,384,409,411,484,502,514,566,568,571,589,598,760],[1,3,4,5,6,7,10,11,12,13,
15,16,18,19,20,22,23,27,29,31,33,35,36,38,39,42,46,56,68,70,72,73,76,78,80,81,
84,85,88,90,92,94,96,98,109,111,113,115,117,119,146,147,150,153,155,156,157,
174,177,179,180,184,218,229,231,232,234,236,239,253,257,269,286,290,292,309,
310,312,314,330,351,353,381,383,408,410,485,503,513,567,569,570,590,597,761],[
1,3,4,6,7,10,11,12,15,16,18,19,20,22,23,27,29,31,33,35,36,40,42,56,68,70,72,
73,76,78,80,81,84,85,88,90,92,94,109,111,113,115,117,174,175,184,218,231,232,
234,236,239,253,255,257,381,383,401,407,485,590,591,762],[1,3,4,6,7,10,11,12,
14,17,18,19,21,22,24,27,28,30,32,34,37,40,42,56,67,69,71,74,75,77,79,82,83,86,
87,90,91,93,110,112,114,116,118,174,175,185,219,230,233,235,237,238,252,254,
256,382,384,400,407,484,589,592,763],[1,2,3,4,6,7,9,10,11,12,14,17,18,19,21,
22,24,25,26,27,28,30,32,34,37,42,46,56,57,58,59,62,64,65,67,69,71,74,75,77,79,
82,83,86,87,89,90,91,93,99,101,104,105,108,110,112,114,116,118,174,176,178,
180,185,215,216,219,226,238,241,242,245,246,249,251,252,256,270,382,384,395,
397,404,405,409,411,490,589,598,600,601,764],[1,2,3,4,6,7,9,10,11,12,15,16,18,
19,20,22,23,25,26,27,29,31,33,35,36,42,46,56,57,58,60,61,63,66,68,70,72,73,76,
78,80,81,84,85,88,89,90,92,94,100,102,103,106,107,109,111,113,115,117,174,177,
179,180,184,215,217,218,227,239,240,243,244,247,248,250,253,257,269,381,383,
395,396,403,406,408,410,491,590,597,599,602,765],[1,3,4,6,7,10,11,12,14,17,18,
19,21,22,24,27,28,30,32,34,37,40,42,46,56,67,69,71,74,75,77,79,82,83,86,87,90,
91,93,110,112,114,116,118,174,175,176,178,180,185,219,230,233,235,237,238,252,
254,256,270,393,400,402,404,405,407,409,411,484,592,595,598,600,766],[1,3,4,6,
7,10,11,12,15,16,18,19,20,22,23,27,29,31,33,35,36,40,42,46,56,68,70,72,73,76,
78,80,81,84,85,88,90,92,94,109,111,113,115,117,174,175,177,179,180,184,218,
231,232,234,236,239,253,255,257,269,394,401,402,403,406,407,408,410,485,591,
596,597,599,767],[1,2,3,4,6,7,9,10,11,12,14,17,18,19,21,22,24,25,26,27,28,30,
32,34,37,44,45,56,57,58,59,62,64,65,67,69,71,74,75,77,79,82,83,86,87,89,90,91,
93,99,101,104,105,108,110,112,114,116,118,161,162,163,164,165,166,167,168,169,
186,215,216,219,226,238,241,242,245,246,249,251,252,260,261,262,263,264,265,
266,267,364,365,366,367,368,369,490,524,587,604,607,608,768],[1,2,3,4,6,7,9,
10,11,12,15,16,18,19,20,22,23,25,26,27,29,31,33,35,36,44,45,56,57,58,60,61,63,
66,68,70,72,73,76,78,80,81,84,85,88,89,90,92,94,100,102,103,106,107,109,111,
113,115,117,161,162,163,164,165,166,167,168,169,186,215,217,218,227,239,240,
243,244,247,248,250,253,260,261,262,263,264,265,266,267,361,362,363,370,371,
372,491,524,588,603,605,606,769],[1,2,3,4,6,7,9,10,11,12,15,16,18,19,20,22,23,
25,26,27,29,31,33,35,36,41,43,44,45,56,57,58,60,61,63,66,68,70,72,73,76,78,80,
81,84,85,88,89,90,92,94,100,102,103,106,107,109,111,113,115,117,159,160,161,
162,163,164,165,166,167,168,169,170,171,172,173,183,186,187,215,217,218,227,
239,240,243,244,247,248,250,253,258,259,260,261,262,263,264,265,266,267,268,
271,272,273,375,376,377,378,385,386,391,392,491,523,524,593,609,611,612,616,
618,770],[1,2,3,4,6,7,9,10,11,12,14,17,18,19,21,22,24,25,26,27,28,30,32,34,37,
41,43,44,45,56,57,58,59,62,64,65,67,69,71,74,75,77,79,82,83,86,87,89,90,91,93,
99,101,104,105,108,110,112,114,116,118,159,160,161,162,163,164,165,166,167,
168,169,170,171,172,173,183,186,187,215,216,219,226,238,241,242,245,246,249,
251,252,258,259,260,261,262,263,264,265,266,267,268,271,272,273,373,374,379,
380,387,388,389,390,490,523,524,594,610,613,614,615,617,771],[1,3,4,5,6,7,10,
13,14,15,16,17,18,19,22,27,32,33,34,35,36,37,38,39,43,46,79,80,81,82,83,84,85,
86,87,88,90,95,96,97,98,117,118,119,122,123,124,125,150,151,152,153,154,155,
156,170,171,172,176,177,178,179,180,181,182,188,228,229,238,239,258,269,270,
274,275,276,277,278,285,286,287,308,309,310,311,312,313,314,315,330,332,355,
356,357,358,417,421,422,423,424,425,426,501,502,503,519,630,631,659,660,661,
662,772],[1,3,4,6,7,10,14,17,18,19,20,22,23,27,29,31,32,34,37,41,46,79,82,83,
86,87,90,92,94,103,106,107,118,127,129,159,160,173,176,178,180,238,240,259,
270,279,281,284,329,404,405,495,600,650,773],[1,3,4,6,7,10,15,16,18,19,21,22,
24,27,28,30,33,35,36,41,46,80,81,84,85,88,90,91,93,104,105,108,117,126,128,
159,160,173,177,179,180,239,241,259,269,280,282,283,328,403,406,494,599,651,
774],[1,3,4,6,7,10,15,16,18,19,21,22,24,27,28,30,33,35,36,41,42,80,81,84,85,
88,90,91,93,104,105,108,117,126,128,159,160,173,174,184,239,241,257,259,280,
282,283,328,381,383,494,590,648,775],[1,3,4,6,7,10,14,17,18,19,20,22,23,27,29,
31,32,34,37,41,42,79,82,83,86,87,90,92,94,103,106,107,118,127,129,159,160,173,
174,185,238,240,256,259,279,281,284,329,382,384,495,589,649,776],[1,3,4,5,6,7,
10,13,15,16,18,19,22,27,33,35,36,38,39,42,44,45,46,80,81,84,85,88,90,96,98,
117,119,150,153,155,156,161,162,165,174,177,179,180,184,186,229,239,257,262,
269,286,309,310,312,314,330,370,371,372,381,383,503,588,590,642,643,777],[1,3,
4,5,6,7,10,13,14,17,18,19,22,27,32,34,37,38,39,42,44,45,46,79,82,83,86,87,90,
95,97,118,119,151,152,155,156,163,164,166,174,176,178,180,185,186,228,238,256,
261,270,287,308,311,313,315,330,367,368,369,382,384,502,587,589,640,641,778],[
1,3,4,6,7,10,14,15,16,17,18,19,22,27,32,33,34,35,36,37,42,43,46,79,80,81,82,
83,84,85,86,87,88,90,117,118,122,123,124,125,170,171,172,174,177,179,180,184,
238,239,257,258,269,275,276,277,278,332,381,383,403,406,501,590,599,644,646,
779],[1,3,4,6,7,10,14,15,16,17,18,19,22,27,32,33,34,35,36,37,42,43,46,79,80,
81,82,83,84,85,86,87,88,90,117,118,122,123,124,125,170,171,172,174,176,178,
180,185,238,239,256,258,270,275,276,277,278,332,382,384,404,405,501,589,600,
645,647,780],[1,3,4,5,6,7,10,13,15,16,18,19,22,27,33,35,36,38,39,44,45,46,80,
81,84,85,88,90,96,98,117,119,150,153,155,156,161,162,165,177,179,180,186,229,
239,262,269,286,309,310,312,314,330,370,371,372,403,406,503,588,599,636,637,
781],[1,3,4,5,6,7,10,13,14,17,18,19,22,27,32,34,37,38,39,44,45,46,79,82,83,86,
87,90,95,97,118,119,151,152,155,156,163,164,166,176,178,180,186,228,238,261,
270,287,308,311,313,315,330,367,368,369,404,405,502,587,600,638,639,782],[1,3,
4,6,7,10,14,15,16,17,18,19,22,27,32,33,34,35,36,37,40,42,43,79,80,81,82,83,84,
85,86,87,88,90,117,118,122,123,124,125,170,171,172,174,175,184,185,238,239,
254,255,256,257,258,275,276,277,278,332,400,401,407,412,413,414,501,591,592,
619,632,633,783],[1,2,3,4,6,7,9,10,11,12,14,15,16,17,18,19,20,21,22,23,24,25,
26,27,28,29,30,31,32,33,34,35,36,37,41,43,56,57,58,59,60,61,62,63,64,65,66,67,
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,
94,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,
118,122,123,124,125,126,127,128,129,148,149,159,160,170,171,172,173,183,187,
215,216,217,218,219,226,227,238,239,240,241,242,243,244,245,246,247,248,249,
250,251,252,253,258,259,268,271,272,273,275,276,277,278,279,280,281,282,283,
284,288,289,328,329,331,332,341,342,343,344,345,346,347,348,490,491,494,495,
496,497,498,499,500,501,520,521,523,784],[1,2,3,4,6,7,9,10,11,12,14,15,16,17,
18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,44,45,56,57,58,59,
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,
86,87,88,89,90,91,92,93,94,99,100,101,102,103,104,105,106,107,108,109,110,111,
112,113,114,115,116,117,118,130,131,132,133,134,135,136,137,138,139,140,141,
142,143,144,145,161,162,163,164,165,166,167,168,169,186,215,216,217,218,219,
226,227,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,260,
261,262,263,264,265,266,267,296,297,298,299,300,301,302,303,304,305,306,307,
316,317,318,319,320,321,322,323,324,325,326,327,333,334,335,336,337,338,339,
340,349,350,359,360,490,491,504,505,506,507,508,509,510,511,512,515,516,517,
518,522,524,785],[1,3,4,5,6,7,10,13,14,17,18,19,20,22,23,27,29,31,32,34,37,38,
39,40,41,42,46,79,82,83,86,87,90,92,94,95,97,103,106,107,118,119,121,127,129,
151,152,155,156,157,159,160,173,174,175,176,178,180,185,228,238,240,254,256,
259,270,279,281,284,287,292,294,308,311,313,315,329,330,394,396,398,399,400,
407,415,416,495,502,572,575,592,625,627,652,654,786],[1,3,4,5,6,7,10,13,15,16,
18,19,21,22,24,27,28,30,33,35,36,38,39,40,41,42,46,80,81,84,85,88,90,91,93,96,
98,104,105,108,117,119,121,126,128,150,153,155,156,158,159,160,173,174,175,
177,179,180,184,229,239,241,255,257,259,269,280,282,283,286,291,295,309,310,
312,314,328,330,393,397,398,399,401,407,415,416,494,503,573,576,591,624,626,
653,654,787],[1,3,4,5,6,7,10,13,18,19,20,21,22,23,24,27,28,29,30,31,38,39,40,
42,43,46,90,91,92,93,94,103,104,105,106,107,108,119,121,148,149,154,155,156,
157,158,170,171,172,174,175,180,181,182,188,240,241,258,274,285,288,289,291,
292,294,295,330,331,393,394,396,397,407,412,413,414,417,425,426,496,572,573,
619,622,623,630,664,667,788],[1,2,3,4,6,7,9,10,11,12,18,19,22,25,26,27,41,43,
56,57,58,89,90,159,160,170,171,172,173,183,187,189,215,258,259,268,271,272,
273,418,419,420,523,663,665,666,789],[1,2,3,4,5,6,7,9,10,11,12,13,18,19,22,25,
26,27,38,39,40,41,42,43,46,56,57,58,89,90,119,120,121,146,147,154,155,156,159,
160,170,171,172,173,174,175,180,181,182,183,187,188,215,258,259,268,271,272,
273,274,285,290,293,330,395,398,399,402,407,412,413,414,415,416,417,425,426,
523,574,619,620,621,628,629,630,634,635,654,790],[1,3,4,6,7,10,14,17,18,19,20,
22,23,27,29,31,32,34,37,41,79,82,83,86,87,90,92,94,103,106,107,118,127,129,
159,160,173,189,238,240,259,279,281,284,329,418,419,420,495,656,658,663,791],[
1,3,4,6,7,10,15,16,18,19,21,22,24,27,28,30,33,35,36,41,80,81,84,85,88,90,91,
93,104,105,108,117,126,128,159,160,173,189,239,241,259,280,282,283,328,418,
419,420,494,655,657,663,792],[1,3,4,6,7,10,14,17,18,19,22,27,32,34,37,40,42,
44,45,46,79,82,83,86,87,90,118,163,164,166,174,175,176,178,180,185,186,238,
254,256,261,270,367,368,369,400,404,405,407,587,592,600,793],[1,3,4,6,7,10,15,
16,18,19,22,27,33,35,36,40,42,44,45,46,80,81,84,85,88,90,117,161,162,165,174,
175,177,179,180,184,186,239,255,257,262,269,370,371,372,401,403,406,407,588,
591,599,794],[1,3,4,6,7,10,15,16,18,19,22,27,33,35,36,40,42,44,45,80,81,84,85,
88,90,117,161,162,165,174,175,184,186,239,255,257,262,370,371,372,381,383,401,
407,588,590,591,795],[1,3,4,6,7,10,14,17,18,19,22,27,32,34,37,40,42,44,45,79,
82,83,86,87,90,118,163,164,166,174,175,185,186,238,254,256,261,367,368,369,
382,384,400,407,587,589,592,796],[1,3,6,7,15,18,21,22,24,28,30,32,35,37,41,45,
46,71,75,77,84,104,108,126,132,137,160,163,179,189,223,280,323,365,387,406,
418,550,651,655,797],[1,3,6,7,14,19,20,22,23,29,31,33,34,36,41,45,46,72,76,78,
83,106,107,127,133,136,159,161,178,189,222,279,322,362,386,405,419,551,650,
656,798],[1,3,7,15,18,21,30,34,35,41,44,46,74,84,104,126,130,134,160,164,179,
189,220,280,318,364,390,406,418,545,651,655,799],[1,3,7,14,19,20,31,34,35,41,
44,46,73,83,106,127,130,135,159,162,178,189,221,279,319,361,391,405,419,544,
650,656,800],[1,3,6,7,16,18,21,22,24,28,30,32,33,37,41,42,44,71,75,77,81,104,
108,128,131,141,160,164,184,189,223,282,321,364,383,388,418,548,648,657,801],[
1,3,6,7,17,19,20,22,23,29,31,32,33,36,41,42,44,72,76,78,82,106,107,129,131,
138,159,162,185,189,222,281,320,361,384,385,419,549,649,658,802],[1,3,6,7,16,
18,21,30,33,34,41,42,45,74,81,104,128,133,140,160,163,184,189,220,282,317,365,
383,389,418,547,648,657,803],[1,3,6,7,17,19,20,31,32,35,41,42,45,73,82,106,
129,132,139,159,161,185,189,221,281,316,362,384,392,419,546,649,658,804],[1,3,
4,5,6,7,10,11,12,13,14,15,16,17,20,21,23,24,27,32,33,34,35,36,37,38,39,40,41,
42,43,46,56,79,80,91,92,95,96,97,98,109,110,111,112,113,114,115,116,117,118,
119,121,122,123,124,125,126,127,128,129,146,147,148,149,150,151,152,153,154,
157,158,170,173,174,175,180,181,182,183,184,185,228,229,252,253,256,257,271,
274,285,286,287,290,291,292,294,295,328,329,331,332,345,346,347,348,351,352,
353,354,355,356,357,358,396,397,398,399,400,401,402,412,414,415,513,514,519,
521,575,576,585,586,620,623,626,627,633,635,664,805],[1,2,3,4,5,6,7,9,10,13,
14,15,16,17,20,21,23,24,25,26,27,38,39,40,41,42,43,46,79,80,89,91,92,95,96,97,
98,99,100,101,102,119,120,121,122,123,124,125,126,127,128,129,148,149,150,151,
152,153,154,157,158,170,173,174,175,180,181,182,187,226,227,228,229,254,255,
268,274,285,286,287,291,292,293,294,295,328,329,331,332,341,342,343,344,355,
356,357,358,393,394,395,398,399,400,401,413,414,416,492,493,519,520,564,565,
575,576,621,622,624,625,632,634,664,806],[1,3,5,6,7,11,14,15,17,18,24,28,32,
35,37,38,39,42,43,45,46,75,84,86,95,96,97,112,123,125,132,137,146,150,151,152,
154,156,158,163,172,176,178,179,181,182,185,188,230,277,308,311,314,323,354,
356,358,368,374,382,404,409,421,422,426,528,536,566,639,640,647,659,807],[1,3,
5,6,7,11,14,15,16,19,23,29,33,34,36,38,39,42,43,45,46,76,83,85,95,96,98,111,
122,125,133,136,146,150,151,153,154,155,157,161,171,177,178,179,181,182,184,
188,231,278,309,310,315,322,353,356,357,371,375,381,403,408,421,423,425,529,
537,567,637,642,646,660,808],[1,3,5,6,7,12,15,16,17,18,19,20,23,31,32,35,36,
38,39,42,43,45,46,70,73,82,84,85,96,97,98,109,113,123,124,132,139,147,150,152,
153,154,155,156,157,161,171,176,177,179,181,182,184,188,232,276,309,310,313,
314,316,351,355,358,371,378,381,403,406,410,422,424,425,531,538,569,637,642,
644,662,809],[1,3,5,6,7,12,14,16,17,18,19,21,24,30,33,34,37,38,39,42,43,45,46,
69,74,81,83,86,95,97,98,110,114,122,124,133,140,147,151,152,153,154,155,156,
158,163,172,176,177,178,181,182,185,188,233,275,308,311,312,315,317,352,355,
357,368,380,382,404,405,411,423,424,426,530,539,568,639,640,645,661,810],[1,3,
5,6,7,11,15,16,17,19,23,29,32,33,36,38,39,42,43,44,46,76,82,85,96,97,98,111,
123,124,131,138,146,150,152,153,154,155,157,162,171,176,177,179,181,182,184,
188,231,276,309,310,313,320,353,355,358,370,376,381,403,408,422,424,425,529,
535,567,636,643,644,662,811],[1,3,5,6,7,11,14,16,17,18,24,28,32,33,37,38,39,
42,43,44,46,75,81,86,95,97,98,112,122,124,131,141,146,151,152,153,154,156,158,
164,172,176,177,178,181,182,185,188,230,275,308,311,312,321,354,355,357,367,
373,382,404,409,423,424,426,528,534,566,638,641,645,661,812],[1,3,5,6,7,12,14,
15,17,18,19,21,24,30,34,35,37,38,39,42,43,44,46,69,74,83,84,86,95,96,97,110,
114,123,125,130,134,147,150,151,152,154,155,156,158,164,172,176,178,179,181,
182,185,188,233,277,308,311,314,315,318,352,356,358,367,379,382,404,405,411,
421,422,426,530,532,568,638,641,647,659,813],[1,3,5,6,7,12,14,15,16,18,19,20,
23,31,34,35,36,38,39,42,43,44,46,70,73,83,84,85,95,96,98,109,113,122,125,130,
135,147,150,151,153,154,155,156,157,162,171,177,178,179,181,182,184,188,232,
278,309,310,314,315,319,351,356,357,370,377,381,403,406,410,421,423,425,531,
533,569,636,643,646,660,814],[1,4,6,7,11,12,27,40,41,43,46,56,170,173,175,180,
183,188,189,271,402,413,416,417,420,525,628,666,815],[1,2,3,4,6,7,9,10,25,26,
27,41,42,43,44,45,46,89,167,168,169,170,173,174,180,186,187,188,189,260,268,
395,412,415,417,420,527,629,665,816],[1,4,5,6,7,11,12,13,27,38,39,41,42,43,56,
119,146,147,154,170,173,174,183,189,271,285,290,399,412,420,525,620,666,817],[
1,2,3,4,5,6,7,9,10,13,25,26,27,38,39,40,41,43,44,45,89,119,120,121,154,167,
168,169,170,173,175,186,187,189,260,268,285,293,398,413,420,527,621,665,818],[
1,3,4,5,6,7,10,11,12,13,14,15,16,17,20,21,23,24,27,32,33,34,35,36,37,38,39,40,
41,42,43,46,56,79,80,91,92,109,110,111,112,113,114,115,116,117,118,119,121,
122,123,124,125,126,127,128,129,146,147,148,149,150,151,152,153,170,173,174,
175,176,177,178,179,180,181,182,183,188,252,253,254,255,269,270,271,274,286,
287,290,294,295,328,329,331,332,345,346,347,348,393,394,396,397,398,400,401,
402,413,414,415,416,417,421,422,423,424,521,585,586,595,596,622,624,625,628,
631,632,635,652,653,667,819],[1,2,3,4,5,6,7,9,10,13,14,15,16,17,20,21,23,24,
25,26,27,38,39,40,41,42,43,46,79,80,89,91,92,99,100,101,102,119,120,121,122,
123,124,125,126,127,128,129,148,149,150,151,152,153,157,158,170,173,174,175,
176,177,178,179,180,181,182,184,185,187,188,226,227,256,257,268,269,270,274,
286,287,291,292,293,328,329,331,332,341,342,343,344,393,394,395,396,397,399,
400,401,412,414,415,416,417,421,422,423,424,520,564,565,601,602,623,626,627,
629,631,633,634,652,653,667,820],[1,4,6,7,8,27,43,48,52,53,170,190,203,427,
429,430,671,673,821],[1,2,3,6,8,25,45,49,52,54,168,190,207,428,429,431,670,
674,822],[1,2,3,6,8,25,44,49,52,54,167,190,207,428,429,431,670,675,823],[1,2,
3,7,8,26,44,45,49,53,54,169,190,206,428,430,431,669,674,675,824],[1,3,4,8,10,
44,45,48,54,186,190,202,427,431,668,674,675,825],[1,4,6,7,8,27,41,48,52,53,
173,190,203,427,429,430,671,676,826],[1,2,3,7,8,26,41,43,49,53,54,187,190,206,
428,430,431,669,673,676,827],[1,2,3,4,6,7,8,9,10,25,26,27,48,49,52,53,54,89,
190,202,203,206,207,209,427,428,429,430,431,477,668,669,670,671,672,828],[1,4,
5,6,7,8,13,27,38,39,48,50,51,52,53,119,190,201,203,204,205,210,427,429,430,
432,476,671,677,678,679,829],[1,4,6,7,8,27,40,48,52,53,175,190,203,208,211,
427,429,430,478,671,680,830],[1,2,4,5,8,9,13,40,48,49,50,51,120,190,201,208,
209,210,211,427,428,432,472,474,672,679,680,831],[1,3,4,5,8,10,13,40,48,50,51,
54,121,190,201,202,208,210,211,427,431,432,473,475,668,679,680,832],[1,5,7,8,
38,43,50,51,53,154,190,204,430,432,673,678,833],[1,7,8,41,53,189,190,430,676,
834],[1,3,7,18,21,30,34,47,74,104,220,835],[1,3,7,19,20,31,35,47,73,106,221,
836],[1,2,3,4,6,7,9,10,25,26,27,42,46,47,89,174,180,191,192,193,194,195,395,
433,434,435,436,437,438,439,681,682,683,837],[1,2,4,8,9,48,49,55,209,212,214,
440,480,684,685,838],[1,4,5,8,13,48,50,55,210,212,213,440,479,684,686,839],[1,
4,8,40,48,55,211,212,440,481,684,840],[1,3,4,6,7,8,10,11,12,14,17,18,19,21,22,
24,27,28,30,32,34,37,48,56,67,69,71,74,75,77,79,82,83,86,87,90,91,93,110,112,
114,116,118,197,198,200,219,230,233,235,237,238,252,459,462,471,484,688,841],[
1,3,4,6,7,8,10,11,12,15,16,18,19,20,22,23,27,29,31,33,35,36,48,56,68,70,72,73,
76,78,80,81,84,85,88,90,92,94,109,111,113,115,117,196,198,199,218,231,232,234,
236,239,253,458,463,471,485,687,842],[1,2,3,6,7,8,11,12,14,17,18,19,21,22,24,
25,26,28,30,32,34,37,49,57,58,59,62,64,65,67,69,71,74,75,77,82,86,87,99,101,
104,105,108,110,112,114,116,197,198,200,223,224,230,235,237,245,246,249,251,
465,467,468,470,488,688,843],[1,2,3,6,7,8,11,12,15,16,18,19,20,22,23,25,26,29,
31,33,35,36,49,57,58,60,61,63,66,68,70,72,73,76,78,81,85,88,100,102,103,106,
107,109,111,113,115,196,198,199,222,225,231,234,236,244,247,248,250,464,466,
469,470,489,687,844],[1,3,6,7,8,11,14,16,17,18,24,28,32,33,37,43,44,52,75,81,
86,112,122,124,131,141,164,172,197,198,200,230,275,321,367,373,444,450,534,
688,845],[1,3,6,7,8,11,14,15,17,18,24,28,32,35,37,43,45,53,75,84,86,112,123,
125,132,137,163,172,197,198,200,230,277,323,368,374,442,447,536,688,846],[1,3,
6,7,8,11,15,16,17,19,23,29,32,33,36,43,44,52,76,82,85,111,123,124,131,138,162,
171,196,198,199,231,276,320,370,376,443,449,535,687,847],[1,3,6,7,8,11,14,15,
16,19,23,29,33,34,36,43,45,53,76,83,85,111,122,125,133,136,161,171,196,198,
199,231,278,322,371,375,441,448,537,687,848],[1,3,6,7,8,11,14,17,18,20,24,28,
29,31,32,37,41,44,45,54,75,86,103,112,127,129,138,139,142,143,160,163,164,197,
198,200,230,284,302,303,369,387,388,445,453,454,559,688,849],[1,3,6,7,8,11,15,
16,19,21,23,28,29,30,33,36,41,44,45,54,76,85,105,111,126,128,140,141,142,145,
159,161,162,196,198,199,231,283,300,301,372,385,386,446,455,456,558,687,850],[
1,3,5,6,7,8,11,14,17,18,24,28,32,37,38,39,42,46,51,75,86,97,112,146,151,156,
158,176,185,197,198,200,230,311,354,382,409,452,457,566,688,851],[1,3,5,6,7,8,
11,15,16,19,23,29,33,36,38,39,42,46,51,76,85,98,111,146,150,155,157,177,184,
196,198,199,231,310,353,381,408,451,457,567,687,852],[1,3,5,6,7,8,11,14,17,18,
24,28,32,37,38,46,50,75,86,95,112,152,156,178,197,198,200,230,308,404,461,528,
688,853],[1,3,5,6,7,8,11,15,16,19,23,29,33,36,38,46,50,76,85,96,111,153,155,
179,196,198,199,231,309,403,460,529,687,854],[1,4,6,7,8,11,12,27,41,43,48,56,
170,173,183,198,271,471,525,855],[1,2,3,6,8,11,22,25,44,45,49,57,165,166,167,
168,198,267,470,526,856],[1,2,3,4,6,7,8,9,10,14,15,16,17,20,21,23,24,25,26,27,
41,43,48,49,52,53,54,79,80,89,91,92,99,100,101,102,122,123,124,125,126,127,
128,129,148,149,170,173,187,196,202,203,206,207,209,226,227,268,328,329,331,
332,341,342,343,344,441,443,446,458,464,477,520,690,692,700,701,717,857],[1,2,
3,4,6,7,8,9,10,14,15,16,17,20,21,23,24,25,26,27,41,43,48,49,52,53,54,79,80,89,
91,92,99,100,101,102,122,123,124,125,126,127,128,129,148,149,170,173,187,197,
202,203,206,207,209,226,227,268,328,329,331,332,341,342,343,344,442,444,445,
459,465,477,520,689,691,699,702,716,858],[1,4,5,6,7,8,13,14,15,16,17,27,38,39,
43,46,48,50,51,52,53,79,80,95,96,97,98,119,122,123,124,125,150,151,152,153,
154,170,180,181,182,197,201,203,204,205,210,228,229,274,285,286,287,332,355,
356,357,358,442,444,452,459,461,476,519,691,693,696,698,718,859],[1,4,5,6,7,8,
13,14,15,16,17,27,38,39,43,46,48,50,51,52,53,79,80,95,96,97,98,119,122,123,
124,125,150,151,152,153,154,170,180,181,182,196,201,203,204,205,210,228,229,
274,285,286,287,332,355,356,357,358,441,443,451,458,460,476,519,692,694,695,
697,719,860],[1,2,3,4,6,7,8,9,10,25,26,27,28,29,30,31,32,33,34,35,36,37,44,45,
48,49,52,53,54,59,60,61,62,63,64,65,66,89,93,94,117,118,130,131,132,133,134,
135,136,137,138,139,140,141,142,143,144,145,167,168,169,186,199,202,203,206,
207,209,216,217,260,333,334,335,336,337,338,339,340,349,350,359,360,448,449,
455,456,463,466,469,477,522,703,705,707,709,712,715,721,861],[1,2,3,4,6,7,8,9,
10,25,26,27,28,29,30,31,32,33,34,35,36,37,44,45,48,49,52,53,54,59,60,61,62,63,
64,65,66,89,93,94,117,118,130,131,132,133,134,135,136,137,138,139,140,141,142,
143,144,145,167,168,169,186,200,202,203,206,207,209,216,217,260,333,334,335,
336,337,338,339,340,349,350,359,360,447,450,453,454,462,467,468,477,522,704,
706,708,710,711,714,720,862],[1,3,4,5,6,7,8,10,13,14,17,20,23,27,38,39,40,41,
42,48,50,54,79,92,95,97,119,121,127,129,157,173,174,175,197,202,208,210,228,
292,294,329,398,399,400,445,459,461,473,575,689,718,725,863],[1,3,4,5,6,7,8,
10,13,15,16,21,24,27,38,39,40,41,42,48,50,54,80,91,96,98,119,121,126,128,158,
173,174,175,196,202,208,210,229,291,295,328,398,399,401,446,458,460,473,576,
690,719,726,864],[1,2,3,4,5,6,7,8,9,10,13,14,17,21,24,25,26,27,38,39,40,42,46,
48,49,51,79,89,91,99,101,119,120,121,151,152,158,174,175,180,197,201,208,209,
226,287,291,293,393,395,400,452,459,465,472,565,698,716,725,865],[1,2,3,4,5,6,
7,8,9,10,13,15,16,20,23,25,26,27,38,39,40,42,46,48,49,51,80,89,92,100,102,119,
120,121,150,153,157,174,175,180,196,201,208,209,227,286,292,293,394,395,401,
451,458,464,472,564,697,717,726,866],[1,2,3,4,5,6,7,8,9,10,11,12,13,18,19,22,
25,26,27,38,39,40,42,46,48,49,51,56,57,58,89,90,119,120,121,146,147,155,156,
174,175,180,198,201,208,209,215,290,293,330,395,402,407,457,470,471,472,574,
713,722,727,867],[1,2,3,4,5,6,7,8,9,10,13,14,17,21,24,25,26,27,38,39,40,48,49,
50,79,89,91,95,97,99,101,119,120,121,175,197,209,210,211,226,228,254,293,295,
459,461,465,474,492,716,718,723,868],[1,2,3,4,5,6,7,8,9,10,13,15,16,20,23,25,
26,27,38,39,40,48,49,50,80,89,92,96,98,100,102,119,120,121,175,196,209,210,
211,227,229,255,293,294,458,460,464,474,493,717,719,724,869],[1,3,4,5,6,7,8,
10,13,14,17,20,23,27,38,39,40,41,46,48,51,54,79,92,119,121,127,129,151,152,
173,175,180,197,201,202,211,254,287,294,329,394,398,416,445,452,459,475,625,
689,698,723,870],[1,3,4,5,6,7,8,10,13,15,16,21,24,27,38,39,40,41,46,48,51,54,
80,91,119,121,126,128,150,153,173,175,180,196,201,202,211,255,286,295,328,393,
398,416,446,451,458,475,624,690,697,724,871],[1,4,6,7,8,14,15,16,17,27,40,42,
43,48,52,53,79,80,122,123,124,125,170,174,175,196,203,208,211,254,255,332,400,
401,413,414,441,443,458,478,632,692,724,726,872],[1,4,6,7,8,14,15,16,17,27,40,
42,43,48,52,53,79,80,122,123,124,125,170,174,175,197,203,208,211,254,255,332,
400,401,413,414,442,444,459,478,632,691,723,725,873],[1,4,6,7,8,15,16,27,47,
48,52,53,80,191,192,194,196,203,435,458,730,874],[1,4,6,7,8,14,17,27,47,48,52,
53,79,191,192,194,197,203,435,459,731,875],[1,4,6,7,8,11,12,27,47,48,52,53,56,
191,192,194,198,203,435,471,732,876],[1,2,3,7,8,14,21,26,47,49,53,54,99,191,
193,195,197,206,436,465,731,877],[1,2,3,7,8,15,20,26,47,49,53,54,100,191,193,
195,196,206,436,464,730,878],[1,3,4,8,10,28,30,47,48,54,93,193,194,200,202,
434,462,734,879],[1,3,4,8,10,29,31,47,48,54,94,193,194,199,202,434,463,733,
880],[1,2,3,6,8,25,28,32,47,49,52,54,59,192,193,195,200,207,437,468,734,881],[
1,2,3,6,8,25,29,33,47,49,52,54,60,192,193,195,199,207,437,469,733,882],[1,2,3,
7,8,26,29,35,47,49,53,54,61,191,193,195,199,206,436,466,733,883],[1,2,3,7,8,
26,28,34,47,49,53,54,62,191,193,195,200,206,436,467,734,884],[1,2,3,6,8,11,22,
25,47,49,52,54,57,192,193,195,198,207,437,470,732,885],[1,5,7,8,15,38,46,47,
50,51,53,150,191,196,204,438,451,730,886],[1,5,7,8,14,38,46,47,50,51,53,151,
191,197,204,438,452,731,887],[1,5,6,8,11,39,42,47,50,51,52,146,192,198,205,
439,457,732,888],[1,2,3,4,5,6,7,9,10,11,12,13,15,16,18,19,20,22,23,25,26,27,
29,31,33,35,36,38,39,40,42,46,56,57,58,60,61,63,66,68,70,72,73,76,78,80,81,84,
85,88,89,90,92,94,96,98,100,102,103,106,107,109,111,113,115,117,119,120,121,
146,147,150,153,155,156,157,174,175,177,179,180,184,215,217,218,221,222,225,
227,229,231,232,234,236,239,240,243,244,247,248,250,253,255,257,269,286,290,
292,293,294,309,310,312,314,330,351,353,381,383,394,395,396,401,402,403,406,
407,408,410,483,485,487,489,491,493,503,513,529,531,564,567,569,570,572,574,
585,590,591,596,597,599,602,736,740,745,761,762,765,767,889],[1,2,3,4,5,6,7,9,
10,11,12,13,14,17,18,19,21,22,24,25,26,27,28,30,32,34,37,38,39,40,42,46,56,57,
58,59,62,64,65,67,69,71,74,75,77,79,82,83,86,87,89,90,91,93,95,97,99,101,104,
105,108,110,112,114,116,118,119,120,121,146,147,151,152,155,156,158,174,175,
176,178,180,185,215,216,219,220,223,224,226,228,230,233,235,237,238,241,242,
245,246,249,251,252,254,256,270,287,290,291,293,295,308,311,313,315,330,352,
354,382,384,393,395,397,400,402,404,405,407,409,411,482,484,486,488,490,492,
502,514,528,530,565,566,568,571,573,574,586,589,592,595,598,600,601,735,741,
744,760,763,764,766,890],[1,2,3,4,6,7,9,10,11,12,14,15,16,17,18,19,20,21,22,
23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,41,43,44,45,56,57,58,59,60,61,62,
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,
89,90,91,92,93,94,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,
114,115,116,117,118,122,123,124,125,126,127,128,129,130,131,132,133,134,135,
136,137,138,139,140,141,142,143,144,145,148,149,159,160,161,162,163,164,165,
166,167,168,169,170,171,172,173,183,186,187,215,216,217,218,219,220,223,224,
226,227,230,233,235,237,238,239,240,241,242,243,244,245,246,247,248,249,250,
251,252,253,258,259,260,261,262,263,264,265,266,267,268,271,272,273,275,276,
277,278,279,280,281,282,283,284,288,289,296,297,298,299,300,301,302,303,304,
305,306,307,316,317,318,319,320,321,322,323,324,325,326,327,328,329,331,332,
333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,359,
360,364,365,366,367,368,369,373,374,379,380,387,388,389,390,482,484,486,488,
490,491,494,495,496,497,498,499,500,501,504,505,506,507,508,509,510,511,512,
515,516,517,518,520,521,522,523,524,532,534,536,539,541,542,545,547,548,550,
553,555,557,559,562,563,579,580,582,584,587,594,604,607,608,610,613,614,615,
617,735,743,747,749,751,752,754,757,759,768,771,784,785,891],[1,2,3,4,6,7,9,
10,11,12,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,
37,41,43,44,45,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,
77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,99,100,101,102,103,104,
105,106,107,108,109,110,111,112,113,114,115,116,117,118,122,123,124,125,126,
127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,
148,149,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,183,186,
187,215,216,217,218,219,221,222,225,226,227,231,232,234,236,238,239,240,241,
242,243,244,245,246,247,248,249,250,251,252,253,258,259,260,261,262,263,264,
265,266,267,268,271,272,273,275,276,277,278,279,280,281,282,283,284,288,289,
296,297,298,299,300,301,302,303,304,305,306,307,316,317,318,319,320,321,322,
323,324,325,326,327,328,329,331,332,333,334,335,336,337,338,339,340,341,342,
343,344,345,346,347,348,349,350,359,360,361,362,363,370,371,372,375,376,377,
378,385,386,391,392,483,485,487,489,490,491,494,495,496,497,498,499,500,501,
504,505,506,507,508,509,510,511,512,515,516,517,518,520,521,522,523,524,533,
535,537,538,540,543,544,546,549,551,552,554,556,558,560,561,577,578,581,583,
588,593,603,605,606,609,611,612,616,618,736,742,746,748,750,753,755,756,758,
769,770,784,785,892],[1,2,3,4,6,7,9,10,11,12,14,15,16,17,18,19,20,21,22,23,24,
25,26,27,28,29,30,31,32,33,34,35,36,37,41,43,56,57,58,59,60,61,62,63,64,65,66,
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,
93,94,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,
117,118,122,123,124,125,126,127,128,129,148,149,159,160,170,171,172,173,183,
187,189,215,216,217,218,219,226,227,238,239,240,241,242,243,244,245,246,247,
248,249,250,251,252,253,258,259,268,271,272,273,275,276,277,278,279,280,281,
282,283,284,288,289,328,329,331,332,341,342,343,344,345,346,347,348,418,419,
420,490,491,494,495,496,497,498,499,500,501,520,521,523,655,656,657,658,663,
665,666,784,789,791,792,893],[1,2,3,4,6,7,9,10,11,12,14,15,16,17,18,19,20,21,
22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,41,42,43,46,56,57,58,59,60,61,
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,
88,89,90,91,92,93,94,99,100,101,102,103,104,105,106,107,108,109,110,111,112,
113,114,115,116,117,118,122,123,124,125,126,127,128,129,148,149,159,160,170,
171,172,173,174,177,179,180,183,184,187,215,216,217,218,219,226,227,238,239,
240,241,242,243,244,245,246,247,248,249,250,251,252,253,257,258,259,268,269,
271,272,273,275,276,277,278,279,280,281,282,283,284,288,289,328,329,331,332,
341,342,343,344,345,346,347,348,381,383,395,396,403,406,408,410,490,491,494,
495,496,497,498,499,500,501,520,521,523,590,597,599,602,644,646,648,651,765,
774,775,779,784,894],[1,2,3,4,6,7,9,10,11,12,14,15,16,17,18,19,20,21,22,23,24,
25,26,27,28,29,30,31,32,33,34,35,36,37,41,42,43,46,56,57,58,59,60,61,62,63,64,
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,
91,92,93,94,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,
115,116,117,118,122,123,124,125,126,127,128,129,148,149,159,160,170,171,172,
173,174,176,178,180,183,185,187,215,216,217,218,219,226,227,238,239,240,241,
242,243,244,245,246,247,248,249,250,251,252,253,256,258,259,268,270,271,272,
273,275,276,277,278,279,280,281,282,283,284,288,289,328,329,331,332,341,342,
343,344,345,346,347,348,382,384,395,397,404,405,409,411,490,491,494,495,496,
497,498,499,500,501,520,521,523,589,598,600,601,645,647,649,650,764,773,776,
780,784,895],[1,2,3,4,6,7,9,10,11,12,14,15,16,17,18,19,20,21,22,23,24,25,26,
27,28,29,30,31,32,33,34,35,36,37,41,43,44,45,56,57,58,59,60,61,62,63,64,65,66,
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,
93,94,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,
117,118,122,123,124,125,126,127,128,129,148,149,159,160,161,162,163,164,165,
166,167,168,169,170,171,172,173,183,186,187,215,216,217,218,219,226,227,238,
239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,258,259,260,261,
262,263,264,265,266,267,268,271,272,273,275,276,277,278,279,280,281,282,283,
284,288,289,328,329,331,332,341,342,343,344,345,346,347,348,373,374,375,376,
377,378,379,380,385,386,387,388,389,390,391,392,490,491,494,495,496,497,498,
499,500,501,520,521,523,524,525,527,593,594,609,610,611,612,613,614,615,616,
617,618,737,739,770,771,784,896],[1,2,3,4,6,7,9,10,11,12,14,15,16,17,18,19,20,
21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,41,43,44,45,56,57,58,59,60,
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,
87,88,89,90,91,92,93,94,99,100,101,102,103,104,105,106,107,108,109,110,111,
112,113,114,115,116,117,118,130,131,132,133,134,135,136,137,138,139,140,141,
142,143,144,145,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,
183,186,187,215,216,217,218,219,226,227,238,239,240,241,242,243,244,245,246,
247,248,249,250,251,252,253,258,259,260,261,262,263,264,265,266,267,268,271,
272,273,296,297,298,299,300,301,302,303,304,305,306,307,316,317,318,319,320,
321,322,323,324,325,326,327,333,334,335,336,337,338,339,340,349,350,359,360,
361,362,363,364,365,366,367,368,369,370,371,372,373,374,375,376,377,378,379,
380,385,386,387,388,389,390,391,392,490,491,504,505,506,507,508,509,510,511,
512,515,516,517,518,522,523,524,526,527,587,588,593,594,603,604,605,606,607,
608,609,610,611,612,613,614,615,616,617,618,738,739,768,769,770,771,785,897],[
1,2,3,4,5,6,7,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,
30,31,32,33,34,35,36,37,38,39,40,41,42,43,46,56,57,58,59,60,61,62,63,64,65,66,
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,
114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,146,147,148,
149,150,151,152,153,154,155,156,157,158,159,160,170,171,172,173,174,175,176,
177,178,179,180,181,182,183,184,185,187,188,215,216,217,218,219,226,227,228,
229,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,
256,257,258,259,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,
283,284,285,286,287,288,289,290,291,292,293,294,295,308,309,310,311,312,313,
314,315,328,329,330,331,332,341,342,343,344,345,346,347,348,351,352,353,354,
355,356,357,358,393,394,395,396,397,398,399,400,401,402,407,412,413,414,415,
416,417,421,422,423,424,425,426,490,491,492,493,494,495,496,497,498,499,500,
501,502,503,513,514,519,520,521,523,564,565,572,573,574,575,576,585,586,591,
592,595,596,601,602,619,620,621,622,623,624,625,626,627,628,629,630,631,632,
633,634,635,652,653,654,659,660,661,662,664,667,744,745,772,783,784,786,787,
788,790,805,806,819,820,898],[1,3,4,5,6,7,10,11,12,13,14,17,18,19,20,21,22,23,
24,27,28,29,30,31,32,34,37,38,39,40,41,42,44,45,46,56,67,69,71,74,75,77,79,82,
83,86,87,90,91,92,93,94,95,97,103,106,107,110,112,114,116,118,119,121,127,129,
135,136,138,139,142,143,144,145,146,147,151,152,155,156,157,158,159,160,163,
164,166,173,174,175,176,178,180,185,186,219,228,230,233,235,237,238,240,252,
254,256,259,261,270,279,281,284,287,290,291,292,294,298,299,302,303,305,307,
308,311,313,315,329,330,350,352,354,359,367,368,369,382,384,387,388,389,390,
394,396,398,399,400,407,409,411,415,416,484,495,502,514,516,557,559,562,563,
566,568,571,572,575,587,589,592,598,610,625,627,640,641,649,652,654,747,760,
763,776,778,786,796,899],[1,3,4,5,6,7,10,11,12,13,15,16,18,19,20,21,22,23,24,
27,28,29,30,31,33,35,36,38,39,40,41,42,44,45,46,56,68,70,72,73,76,78,80,81,84,
85,88,90,91,92,93,94,96,98,104,105,108,109,111,113,115,117,119,121,126,128,
134,137,140,141,142,143,144,145,146,147,150,153,155,156,157,158,159,160,161,
162,165,173,174,175,177,179,180,184,186,218,229,231,232,234,236,239,241,253,
255,257,259,262,269,280,282,283,286,290,291,292,295,296,297,300,301,304,306,
309,310,312,314,328,330,350,351,353,360,370,371,372,381,383,385,386,391,392,
393,397,398,399,401,407,408,410,415,416,485,494,503,513,515,556,558,560,561,
567,569,570,573,576,588,590,591,597,609,624,626,642,643,648,653,654,746,761,
762,775,777,787,795,900],[1,3,4,5,6,7,10,11,12,13,15,16,18,19,20,21,22,23,24,
27,28,29,30,31,33,35,36,38,39,40,41,42,44,45,46,56,68,70,72,73,76,78,80,81,84,
85,88,90,91,92,93,94,96,98,104,105,108,109,111,113,115,117,119,121,126,128,
134,137,140,141,142,143,144,145,150,153,155,156,158,159,160,161,162,165,173,
174,175,177,179,180,184,186,218,229,231,232,234,236,239,241,253,255,257,259,
262,269,280,282,283,286,291,295,296,297,300,301,304,306,309,310,312,314,328,
330,350,360,370,371,372,385,386,391,392,393,394,397,398,399,401,402,403,406,
407,408,410,415,416,485,494,503,515,529,531,556,558,560,561,573,576,588,591,
596,597,599,609,624,626,636,637,651,653,654,740,746,767,774,781,787,794,901],[
1,3,4,5,6,7,10,11,12,13,14,17,18,19,20,21,22,23,24,27,28,29,30,31,32,34,37,38,
39,40,41,42,44,45,46,56,67,69,71,74,75,77,79,82,83,86,87,90,91,92,93,94,95,97,
103,106,107,110,112,114,116,118,119,121,127,129,135,136,138,139,142,143,144,
145,151,152,155,156,157,159,160,163,164,166,173,174,175,176,178,180,185,186,
219,228,230,233,235,237,238,240,252,254,256,259,261,270,279,281,284,287,292,
294,298,299,302,303,305,307,308,311,313,315,329,330,350,359,367,368,369,387,
388,389,390,393,394,396,398,399,400,402,404,405,407,409,411,415,416,484,495,
502,516,528,530,557,559,562,563,572,575,587,592,595,598,600,610,625,627,638,
639,650,652,654,741,747,766,773,782,786,793,902],[1,2,3,4,5,6,7,9,10,11,12,13,
18,19,22,25,26,27,38,39,40,41,42,43,44,45,46,56,57,58,89,90,119,120,121,146,
147,154,155,156,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,
174,175,180,181,182,183,186,187,188,189,215,258,259,260,261,262,263,264,265,
266,267,268,271,272,273,274,285,290,293,330,395,398,399,402,407,412,413,414,
415,416,417,418,419,420,425,426,523,524,527,574,619,620,621,628,629,630,634,
635,654,663,665,666,739,789,790,816,818,903],[1,2,3,4,5,6,7,9,10,11,12,13,18,
19,22,25,26,27,38,39,40,41,42,43,46,56,57,58,89,90,119,120,121,146,147,154,
155,156,159,160,170,171,172,173,174,175,180,181,182,183,187,188,189,215,258,
259,268,271,272,273,274,285,290,293,330,395,398,399,402,407,412,413,414,415,
416,417,418,419,420,425,426,523,525,574,619,620,621,628,629,630,634,635,654,
663,665,666,737,789,790,815,817,904],[1,3,4,5,6,7,10,11,12,13,14,15,16,17,18,
19,20,22,23,27,29,31,32,33,34,35,36,37,38,39,42,43,44,45,46,56,68,70,72,73,76,
78,79,80,81,82,83,84,85,86,87,88,90,92,94,95,96,97,98,109,111,113,115,117,118,
119,122,123,124,125,130,131,132,133,135,136,138,139,146,147,150,151,152,153,
154,155,156,157,161,162,165,170,171,172,174,176,177,178,179,180,181,182,184,
186,188,218,228,229,231,232,234,236,238,239,253,257,258,262,269,270,274,275,
276,277,278,285,286,287,290,292,308,309,310,311,312,313,314,315,316,319,320,
322,325,327,330,332,349,351,353,355,356,357,358,359,370,371,372,375,376,377,
378,381,383,403,406,408,410,417,421,422,423,424,425,426,485,501,502,503,513,
517,519,529,531,533,535,537,538,540,543,567,569,570,588,590,593,597,599,630,
631,636,637,642,643,644,646,659,660,661,662,740,742,761,772,777,779,781,808,
809,811,814,905],[1,3,4,5,6,7,10,11,12,13,14,15,16,17,18,19,21,22,24,27,28,30,
32,33,34,35,36,37,38,39,42,43,44,45,46,56,67,69,71,74,75,77,79,80,81,82,83,84,
85,86,87,88,90,91,93,95,96,97,98,110,112,114,116,117,118,119,122,123,124,125,
130,131,132,133,134,137,140,141,146,147,150,151,152,153,154,155,156,158,163,
164,166,170,171,172,174,176,177,178,179,180,181,182,185,186,188,219,228,229,
230,233,235,237,238,239,252,256,258,261,269,270,274,275,276,277,278,285,286,
287,290,291,308,309,310,311,312,313,314,315,317,318,321,323,324,326,330,332,
349,352,354,355,356,357,358,360,367,368,369,373,374,379,380,382,384,404,405,
409,411,417,421,422,423,424,425,426,484,501,502,503,514,518,519,528,530,532,
534,536,539,541,542,566,568,571,587,589,594,598,600,630,631,638,639,640,641,
645,647,659,660,661,662,741,743,760,772,778,780,782,807,810,812,813,906],[1,3,
4,6,7,10,14,17,18,19,20,22,23,27,29,31,32,33,34,35,36,37,41,44,45,46,68,70,72,
73,76,78,79,82,83,86,87,90,92,94,103,106,107,117,118,127,129,130,131,132,133,
135,136,138,139,159,160,161,162,165,173,176,178,180,186,189,218,221,222,225,
238,240,259,262,270,279,281,284,316,319,320,322,325,327,329,349,359,361,362,
363,385,386,391,392,404,405,418,419,420,483,495,517,544,546,549,551,552,554,
600,603,609,650,656,658,663,748,773,791,798,800,907],[1,3,4,6,7,10,15,16,18,
19,21,22,24,27,28,30,32,33,34,35,36,37,41,44,45,46,67,69,71,74,75,77,80,81,84,
85,88,90,91,93,104,105,108,117,118,126,128,130,131,132,133,134,137,140,141,
159,160,163,164,166,173,177,179,180,186,189,219,220,223,224,239,241,259,261,
269,280,282,283,317,318,321,323,324,326,328,349,360,364,365,366,387,388,389,
390,403,406,418,419,420,482,494,518,545,547,548,550,553,555,599,604,610,651,
655,657,663,749,774,792,797,799,908],[1,3,4,6,7,10,15,16,18,19,21,22,24,27,28,
30,32,33,34,35,36,37,41,42,44,45,67,69,71,74,75,77,80,81,84,85,88,90,91,93,
104,105,108,117,118,126,128,130,131,132,133,134,137,140,141,159,160,163,164,
166,173,174,184,186,189,219,220,223,224,239,241,257,259,261,280,282,283,317,
318,321,323,324,326,328,349,360,364,365,366,381,383,387,388,389,390,418,419,
420,482,494,518,545,547,548,550,553,555,590,604,610,648,655,657,663,749,775,
792,801,803,909],[1,3,4,6,7,10,14,17,18,19,20,22,23,27,29,31,32,33,34,35,36,
37,41,42,44,45,68,70,72,73,76,78,79,82,83,86,87,90,92,94,103,106,107,117,118,
127,129,130,131,132,133,135,136,138,139,159,160,161,162,165,173,174,185,186,
189,218,221,222,225,238,240,256,259,262,279,281,284,316,319,320,322,325,327,
329,349,359,361,362,363,382,384,385,386,391,392,418,419,420,483,495,517,544,
546,549,551,552,554,589,603,609,649,656,658,663,748,776,791,802,804,910],[1,3,
4,6,7,10,11,12,14,15,16,17,18,19,21,22,24,27,28,30,32,33,34,35,36,37,40,42,43,
44,45,46,56,67,69,71,74,75,77,79,80,81,82,83,84,85,86,87,88,90,91,93,110,112,
114,116,117,118,122,123,124,125,130,131,132,133,134,137,140,141,163,164,166,
170,171,172,174,175,176,178,180,184,185,186,219,230,233,235,237,238,239,252,
254,255,256,257,258,261,270,275,276,277,278,317,318,321,323,324,326,332,349,
360,367,368,369,373,374,379,380,382,384,393,400,401,402,404,405,407,409,411,
412,413,414,484,501,518,532,534,536,539,541,542,587,589,591,592,594,595,598,
600,619,632,633,645,647,743,763,766,780,783,793,796,911],[1,3,4,6,7,10,11,12,
14,15,16,17,18,19,20,22,23,27,29,31,32,33,34,35,36,37,40,42,43,44,45,46,56,68,
70,72,73,76,78,79,80,81,82,83,84,85,86,87,88,90,92,94,109,111,113,115,117,118,
122,123,124,125,130,131,132,133,135,136,138,139,161,162,165,170,171,172,174,
175,177,179,180,184,185,186,218,231,232,234,236,238,239,253,254,255,256,257,
258,262,269,275,276,277,278,316,319,320,322,325,327,332,349,359,370,371,372,
375,376,377,378,381,383,394,400,401,402,403,406,407,408,410,412,413,414,485,
501,517,533,535,537,538,540,543,588,590,591,592,593,596,597,599,619,632,633,
644,646,742,762,767,779,783,794,795,912],[1,2,3,4,5,6,7,9,10,11,12,13,15,16,
18,19,20,22,23,25,26,27,29,31,33,35,36,38,39,40,42,44,45,46,56,57,58,60,61,63,
66,68,70,72,73,76,78,80,81,84,85,88,89,90,92,94,96,98,100,102,103,106,107,109,
111,113,115,117,119,120,121,146,147,150,153,155,156,157,161,162,163,164,165,
166,167,168,169,174,175,177,179,180,184,186,215,217,218,227,229,239,240,243,
244,247,248,250,253,255,257,260,261,262,263,264,265,266,267,269,286,290,292,
293,294,309,310,312,314,330,351,353,361,362,363,370,371,372,381,383,394,395,
396,401,402,403,406,407,408,410,491,493,503,513,524,564,572,574,585,588,590,
591,596,597,599,602,603,605,606,636,637,642,643,745,765,769,777,781,794,795,
913],[1,2,3,4,5,6,7,9,10,11,12,13,14,17,18,19,21,22,24,25,26,27,28,30,32,34,
37,38,39,40,42,44,45,46,56,57,58,59,62,64,65,67,69,71,74,75,77,79,82,83,86,87,
89,90,91,93,95,97,99,101,104,105,108,110,112,114,116,118,119,120,121,146,147,
151,152,155,156,158,161,162,163,164,165,166,167,168,169,174,175,176,178,180,
185,186,215,216,219,226,228,238,241,242,245,246,249,251,252,254,256,260,261,
262,263,264,265,266,267,270,287,290,291,293,295,308,311,313,315,330,352,354,
364,365,366,367,368,369,382,384,393,395,397,400,402,404,405,407,409,411,490,
492,502,514,524,565,573,574,586,587,589,592,595,598,600,601,604,607,608,638,
639,640,641,744,764,768,778,782,793,796,914],[1,4,5,6,7,8,13,27,38,39,43,48,
50,51,52,53,119,154,170,190,201,203,204,205,210,285,427,429,430,432,476,671,
673,677,678,679,821,829,833,915],[1,2,3,4,6,7,8,9,10,25,26,27,41,43,48,49,52,
53,54,89,170,173,187,190,202,203,206,207,209,268,427,428,429,430,431,477,668,
669,670,671,672,673,676,821,826,827,828,916],[1,2,3,4,6,7,8,9,10,25,26,27,44,
45,48,49,52,53,54,89,167,168,169,186,190,202,203,206,207,209,260,427,428,429,
430,431,477,668,669,670,671,672,674,675,822,823,824,825,828,917],[1,4,6,7,8,
27,40,43,48,52,53,170,175,190,203,208,211,413,427,429,430,478,671,673,680,821,
830,918],[1,2,3,4,5,6,7,8,9,10,13,25,26,27,38,39,40,48,49,50,51,52,53,54,89,
119,120,121,175,190,201,202,203,204,205,206,207,208,209,210,211,293,427,428,
429,430,431,432,472,473,474,475,476,477,478,668,669,670,671,672,677,678,679,
680,728,828,829,830,831,832,919],[1,4,5,6,7,8,13,27,38,39,40,41,48,50,51,52,
53,119,173,175,190,201,203,204,205,208,210,211,398,427,429,430,432,476,478,
671,676,677,678,679,680,826,829,830,920],[1,4,6,7,8,27,41,48,52,53,173,189,
190,203,420,427,429,430,671,676,826,834,921],[1,3,7,15,18,21,30,34,35,41,44,
47,74,84,104,126,130,134,160,164,191,220,280,318,364,390,545,835,922],[1,3,7,
14,19,20,31,34,35,41,44,47,73,83,106,127,130,135,159,162,191,221,279,319,361,
391,544,836,923],[1,3,6,7,16,18,21,30,33,34,41,45,47,74,81,104,128,133,140,
160,163,192,220,282,317,365,389,547,835,924],[1,3,6,7,17,19,20,31,32,35,41,45,
47,73,82,106,129,132,139,159,161,192,221,281,316,362,392,546,836,925],[1,3,7,
18,20,21,29,30,31,34,43,44,45,47,74,103,104,135,136,144,145,148,149,163,164,
172,193,220,288,298,299,366,379,380,584,835,926],[1,3,7,19,20,21,28,30,31,35,
43,44,45,47,73,105,106,134,137,143,144,148,149,161,162,171,193,221,289,296,
297,363,377,378,583,836,927],[1,3,4,6,7,10,18,19,21,22,24,27,28,30,32,34,37,
47,67,69,71,74,75,77,90,91,93,104,105,108,118,194,219,220,223,224,241,482,835,
928],[1,3,4,6,7,10,18,19,20,22,23,27,29,31,33,35,36,47,68,70,72,73,76,78,90,
92,94,103,106,107,117,194,218,221,222,225,240,483,836,929],[1,2,3,6,7,12,14,
17,18,19,21,22,24,25,26,28,30,32,34,37,47,58,62,64,65,67,69,74,75,77,83,86,87,
99,101,104,105,108,110,114,116,195,220,224,233,235,242,246,251,486,835,930],[
1,2,3,6,7,12,15,16,18,19,20,22,23,25,26,29,31,33,35,36,47,58,61,63,66,68,70,
73,76,78,84,85,88,100,102,103,106,107,109,113,115,195,221,225,232,234,243,247,
250,487,836,931],[1,7,8,14,15,43,53,55,125,196,197,440,441,442,932],[1,3,8,28,
29,44,54,55,142,199,200,440,453,456,933],[1,2,4,5,8,9,13,40,48,49,50,55,120,
209,210,211,212,213,214,440,474,479,480,481,684,685,686,729,838,839,840,934],[
1,3,4,6,7,8,10,11,12,14,17,18,19,21,22,24,27,28,30,32,34,37,40,42,48,56,67,69,
71,74,75,77,79,82,83,86,87,90,91,93,110,112,114,116,118,174,175,185,197,198,
200,211,219,230,233,235,237,238,252,254,256,382,384,400,407,459,462,471,484,
589,592,688,723,763,841,935],[1,3,4,6,7,8,10,11,12,15,16,18,19,20,22,23,27,29,
31,33,35,36,40,42,48,56,68,70,72,73,76,78,80,81,84,85,88,90,92,94,109,111,113,
115,117,174,175,184,196,198,199,211,218,231,232,234,236,239,253,255,257,381,
383,401,407,458,463,471,485,590,591,687,724,762,842,936],[1,3,4,6,7,8,10,11,
12,14,17,18,19,21,22,24,27,28,30,32,34,37,40,42,46,48,56,67,69,71,74,75,77,79,
82,83,86,87,90,91,93,110,112,114,116,118,174,175,176,178,180,185,197,198,200,
208,219,230,233,235,237,238,252,254,256,270,393,400,402,404,405,407,409,411,
459,462,471,484,592,595,598,600,688,725,727,766,841,937],[1,3,4,6,7,8,10,11,
12,15,16,18,19,20,22,23,27,29,31,33,35,36,40,42,46,48,56,68,70,72,73,76,78,80,
81,84,85,88,90,92,94,109,111,113,115,117,174,175,177,179,180,184,196,198,199,
208,218,231,232,234,236,239,253,255,257,269,394,401,402,403,406,407,408,410,
458,463,471,485,591,596,597,599,687,726,727,767,842,938],[1,3,4,5,6,7,8,10,11,
12,13,14,17,18,19,21,22,24,27,28,30,32,34,37,38,39,42,46,48,51,56,67,69,71,74,
75,77,79,82,83,86,87,90,91,93,95,97,110,112,114,116,118,119,146,147,151,152,
155,156,158,174,176,178,180,185,197,198,200,201,219,228,230,233,235,237,238,
252,256,270,287,290,291,308,311,313,315,330,352,354,382,384,409,411,452,457,
459,462,471,484,502,514,566,568,571,589,598,688,698,713,760,841,851,939],[1,3,
4,5,6,7,8,10,11,12,13,15,16,18,19,20,22,23,27,29,31,33,35,36,38,39,42,46,48,
51,56,68,70,72,73,76,78,80,81,84,85,88,90,92,94,96,98,109,111,113,115,117,119,
146,147,150,153,155,156,157,174,177,179,180,184,196,198,199,201,218,229,231,
232,234,236,239,253,257,269,286,290,292,309,310,312,314,330,351,353,381,383,
408,410,451,457,458,463,471,485,503,513,567,569,570,590,597,687,697,713,761,
842,852,940],[1,3,4,6,7,8,10,11,12,15,16,18,19,20,21,22,23,24,27,28,29,30,31,
33,35,36,41,44,45,48,54,56,68,70,72,73,76,78,80,81,84,85,88,90,91,92,93,94,
104,105,108,109,111,113,115,117,126,128,134,137,140,141,142,143,144,145,159,
160,161,162,165,173,186,196,198,199,202,218,231,232,234,236,239,241,253,259,
262,280,282,283,296,297,300,301,304,306,328,350,360,370,371,372,385,386,391,
392,446,455,456,458,463,471,485,494,515,556,558,560,561,588,609,687,690,703,
746,842,850,941],[1,3,4,6,7,8,10,11,12,14,17,18,19,20,21,22,23,24,27,28,29,30,
31,32,34,37,41,44,45,48,54,56,67,69,71,74,75,77,79,82,83,86,87,90,91,92,93,94,
103,106,107,110,112,114,116,118,127,129,135,136,138,139,142,143,144,145,159,
160,163,164,166,173,186,197,198,200,202,219,230,233,235,237,238,240,252,259,
261,279,281,284,298,299,302,303,305,307,329,350,359,367,368,369,387,388,389,
390,445,453,454,459,462,471,484,495,516,557,559,562,563,587,610,688,689,704,
747,841,849,942],[1,2,3,6,7,8,11,12,14,16,17,18,19,20,21,22,23,24,25,26,28,29,
30,31,32,33,34,36,37,41,43,44,45,49,52,54,57,58,59,60,62,63,64,65,67,69,71,72,
74,75,76,77,81,82,86,87,99,101,102,103,104,105,108,110,112,114,115,116,122,
124,127,128,129,131,133,135,138,139,140,141,142,143,144,148,149,160,162,163,
164,165,167,169,172,183,187,197,198,200,207,223,224,230,235,237,244,245,246,
249,251,264,265,272,275,282,284,288,299,300,302,303,304,317,320,321,327,336,
339,340,342,343,345,347,364,366,367,369,373,374,379,387,388,390,444,445,450,
453,454,465,467,468,470,488,500,507,510,534,541,548,553,559,562,579,582,607,
613,617,688,699,708,710,752,843,845,849,943],[1,2,3,6,7,8,11,12,14,15,17,18,
19,20,21,22,24,25,26,28,29,30,31,32,34,35,36,37,41,43,44,45,49,53,54,57,58,59,
61,62,64,65,66,67,68,69,71,73,74,75,77,82,84,86,87,99,100,101,103,104,105,108,
109,110,112,114,116,123,125,126,127,129,130,132,134,136,137,138,139,142,143,
145,148,149,160,161,163,164,165,168,169,172,183,187,197,198,200,206,223,224,
230,235,237,243,245,246,249,251,263,265,272,277,280,284,288,296,298,302,303,
306,316,318,323,325,334,335,337,341,344,346,348,365,366,368,369,373,374,380,
387,388,389,442,445,447,453,454,465,467,468,470,488,497,505,508,536,542,550,
555,559,563,580,582,608,614,617,688,702,706,711,757,843,846,849,944],[1,2,3,6,
7,8,11,12,15,16,17,18,19,20,21,22,23,24,25,26,28,29,30,31,32,33,35,36,37,41,
43,44,45,49,52,54,57,58,59,60,61,63,64,66,68,70,71,72,73,75,76,78,81,82,85,88,
100,101,102,103,105,106,107,109,111,113,115,116,123,124,126,128,129,131,132,
134,138,139,140,141,142,144,145,148,149,159,161,162,164,166,167,169,171,183,
187,196,198,199,207,222,225,231,234,236,244,245,247,248,250,264,266,273,276,
281,283,289,297,300,301,303,305,316,320,321,326,335,339,340,341,343,345,348,
361,363,370,372,375,376,377,385,386,391,443,446,449,455,456,464,466,469,470,
489,499,507,511,535,540,549,552,558,561,578,581,606,611,618,687,700,707,709,
753,844,847,850,945],[1,2,3,6,7,8,11,12,14,15,16,18,19,20,21,22,23,25,26,28,
29,30,31,33,34,35,36,37,41,43,44,45,49,53,54,57,58,60,61,62,63,65,66,67,68,70,
72,73,74,76,78,81,83,85,88,99,100,102,103,105,106,107,109,110,111,113,115,122,
125,126,127,128,130,133,135,136,137,140,141,142,143,145,148,149,159,161,162,
163,166,168,169,171,183,187,196,198,199,206,222,225,231,234,236,242,244,247,
248,250,263,266,273,278,279,283,289,296,298,300,301,307,317,319,322,324,333,
336,337,342,344,346,347,362,363,371,372,375,376,378,385,386,392,441,446,448,
455,456,464,466,469,470,489,498,504,509,537,543,551,554,558,560,577,581,605,
612,618,687,701,705,712,756,844,848,850,946],[1,3,4,6,7,8,10,11,12,14,15,16,
17,18,19,20,22,23,27,29,31,32,33,34,35,36,37,43,44,45,48,52,53,56,68,70,72,73,
76,78,79,80,81,82,83,84,85,86,87,88,90,92,94,109,111,113,115,117,118,122,123,
124,125,130,131,132,133,135,136,138,139,161,162,165,170,171,172,186,196,198,
199,203,218,231,232,234,236,238,239,253,258,262,275,276,277,278,316,319,320,
322,325,327,332,349,359,370,371,372,375,376,377,378,441,443,448,449,458,463,
471,485,501,517,533,535,537,538,540,543,588,593,687,692,715,742,842,847,848,
947],[1,3,4,6,7,8,10,11,12,14,15,16,17,18,19,21,22,24,27,28,30,32,33,34,35,36,
37,43,44,45,48,52,53,56,67,69,71,74,75,77,79,80,81,82,83,84,85,86,87,88,90,91,
93,110,112,114,116,117,118,122,123,124,125,130,131,132,133,134,137,140,141,
163,164,166,170,171,172,186,197,198,200,203,219,230,233,235,237,238,239,252,
258,261,275,276,277,278,317,318,321,323,324,326,332,349,360,367,368,369,373,
374,379,380,442,444,447,450,459,462,471,484,501,518,532,534,536,539,541,542,
587,594,688,691,714,743,841,845,846,948],[1,2,3,4,6,7,8,9,10,11,12,15,16,18,
19,20,22,23,25,26,27,29,31,33,35,36,48,49,56,57,58,60,61,63,66,68,70,72,73,76,
78,80,81,84,85,88,89,90,92,94,100,102,103,106,107,109,111,113,115,117,196,198,
199,209,215,217,218,221,222,225,227,231,232,234,236,239,240,243,244,247,248,
250,253,458,463,464,466,469,470,471,483,485,487,489,491,687,717,721,722,736,
842,844,949],[1,2,3,4,6,7,8,9,10,11,12,14,17,18,19,21,22,24,25,26,27,28,30,32,
34,37,48,49,56,57,58,59,62,64,65,67,69,71,74,75,77,79,82,83,86,87,89,90,91,93,
99,101,104,105,108,110,112,114,116,118,197,198,200,209,215,216,219,220,223,
224,226,230,233,235,237,238,241,242,245,246,249,251,252,459,462,465,467,468,
470,471,482,484,486,488,490,688,716,720,722,735,841,843,950],[1,3,4,5,6,7,8,
10,11,12,13,15,16,18,19,20,22,23,27,29,31,33,35,36,38,39,46,48,50,56,68,70,72,
73,76,78,80,81,84,85,88,90,92,94,96,98,109,111,113,115,117,119,150,153,155,
156,177,179,180,196,198,199,210,218,229,231,232,234,236,239,253,269,286,309,
310,312,314,330,403,406,458,460,463,471,485,503,529,531,599,687,719,740,842,
854,951],[1,3,4,5,6,7,8,10,11,12,13,14,17,18,19,21,22,24,27,28,30,32,34,37,38,
39,46,48,50,56,67,69,71,74,75,77,79,82,83,86,87,90,91,93,95,97,110,112,114,
116,118,119,151,152,155,156,176,178,180,197,198,200,210,219,228,230,233,235,
237,238,252,270,287,308,311,313,315,330,404,405,459,461,462,471,484,502,528,
530,600,688,718,741,841,853,952],[1,3,5,6,7,8,11,14,15,17,18,24,28,32,35,37,
38,39,42,43,45,46,50,51,53,75,84,86,95,96,97,112,123,125,132,137,146,150,151,
152,154,156,158,163,172,176,178,179,181,182,185,188,197,198,200,204,230,277,
308,311,314,323,354,356,358,368,374,382,404,409,421,422,426,442,447,452,457,
461,528,536,566,639,640,647,659,688,693,807,846,851,853,953],[1,3,5,6,7,8,11,
14,16,17,18,24,28,32,33,37,38,39,42,43,44,46,50,51,52,75,81,86,95,97,98,112,
122,124,131,141,146,151,152,153,154,156,158,164,172,176,177,178,181,182,185,
188,197,198,200,205,230,275,308,311,312,321,354,355,357,367,373,382,404,409,
423,424,426,444,450,452,457,461,528,534,566,638,641,645,661,688,696,812,845,
851,853,954],[1,3,5,6,7,8,11,14,15,16,19,23,29,33,34,36,38,39,42,43,45,46,50,
51,53,76,83,85,95,96,98,111,122,125,133,136,146,150,151,153,154,155,157,161,
171,177,178,179,181,182,184,188,196,198,199,204,231,278,309,310,315,322,353,
356,357,371,375,381,403,408,421,423,425,441,448,451,457,460,529,537,567,637,
642,646,660,687,694,808,848,852,854,955],[1,3,5,6,7,8,11,15,16,17,19,23,29,32,
33,36,38,39,42,43,44,46,50,51,52,76,82,85,96,97,98,111,123,124,131,138,146,
150,152,153,154,155,157,162,171,176,177,179,181,182,184,188,196,198,199,205,
231,276,309,310,313,320,353,355,358,370,376,381,403,408,422,424,425,443,449,
451,457,460,529,535,567,636,643,644,662,687,695,811,847,852,854,956],[1,2,3,4,
6,7,8,9,10,11,12,18,19,22,25,26,27,41,43,48,49,56,57,58,89,90,159,160,170,171,
172,173,183,187,198,209,215,258,259,268,271,272,273,470,471,523,525,722,737,
855,957],[1,2,3,4,6,7,8,9,10,11,12,18,19,22,25,26,27,44,45,48,49,56,57,58,89,
90,161,162,163,164,165,166,167,168,169,186,198,209,215,260,261,262,263,264,
265,266,267,470,471,524,526,722,738,856,958],[1,4,6,7,8,11,12,27,40,41,43,46,
48,56,170,173,175,180,183,188,189,198,208,271,402,413,416,417,420,471,525,628,
666,727,815,855,959],[1,4,5,6,7,8,11,12,13,27,38,39,41,42,43,48,51,56,119,146,
147,154,170,173,174,183,189,198,201,271,285,290,399,412,420,457,471,525,620,
666,713,817,855,960],[1,2,3,4,5,6,7,8,9,10,13,14,15,16,17,20,21,23,24,25,26,
27,38,39,40,41,42,43,46,48,49,50,51,52,53,54,79,80,89,91,92,95,96,97,98,99,
100,101,102,119,120,121,122,123,124,125,126,127,128,129,148,149,150,151,152,
153,154,157,158,170,173,174,175,180,181,182,187,196,201,202,203,204,205,206,
207,208,209,210,211,226,227,228,229,254,255,268,274,285,286,287,291,292,293,
294,295,328,329,331,332,341,342,343,344,355,356,357,358,393,394,395,398,399,
400,401,413,414,416,441,443,446,451,458,460,464,472,473,474,475,476,477,478,
492,493,519,520,564,565,575,576,621,622,624,625,632,634,664,690,692,694,695,
697,700,701,717,719,724,726,728,806,857,860,864,866,869,871,872,961],[1,2,3,4,
5,6,7,8,9,10,13,14,15,16,17,20,21,23,24,25,26,27,38,39,40,41,42,43,46,48,49,
50,51,52,53,54,79,80,89,91,92,95,96,97,98,99,100,101,102,119,120,121,122,123,
124,125,126,127,128,129,148,149,150,151,152,153,154,157,158,170,173,174,175,
180,181,182,187,197,201,202,203,204,205,206,207,208,209,210,211,226,227,228,
229,254,255,268,274,285,286,287,291,292,293,294,295,328,329,331,332,341,342,
343,344,355,356,357,358,393,394,395,398,399,400,401,413,414,416,442,444,445,
452,459,461,465,472,473,474,475,476,477,478,492,493,519,520,564,565,575,576,
621,622,624,625,632,634,664,689,691,693,696,698,699,702,716,718,723,725,728,
806,858,859,863,865,868,870,873,962],[1,2,3,4,6,7,8,9,10,15,16,20,23,25,26,27,
47,48,49,52,53,54,80,89,92,100,102,191,192,193,194,195,196,202,203,206,207,
209,227,433,434,435,436,437,458,464,477,681,717,730,874,878,963],[1,2,3,4,6,7,
8,9,10,14,17,21,24,25,26,27,47,48,49,52,53,54,79,89,91,99,101,191,192,193,194,
195,197,202,203,206,207,209,226,433,434,435,436,437,459,465,477,681,716,731,
875,877,964],[1,2,3,4,6,7,8,9,10,11,12,18,19,22,25,26,27,47,48,49,52,53,54,56,
57,58,89,90,191,192,193,194,195,198,202,203,206,207,209,215,433,434,435,436,
437,470,471,477,681,722,732,876,885,965],[1,2,3,4,6,7,8,9,10,25,26,27,28,30,
32,34,37,47,48,49,52,53,54,59,62,64,65,89,93,118,191,192,193,194,195,200,202,
203,206,207,209,216,433,434,435,436,437,462,467,468,477,681,720,734,879,881,
884,966],[1,2,3,4,6,7,8,9,10,25,26,27,29,31,33,35,36,47,48,49,52,53,54,60,61,
63,66,89,94,117,191,192,193,194,195,199,202,203,206,207,209,217,433,434,435,
436,437,463,466,469,477,681,721,733,880,882,883,967],[1,4,5,6,7,8,13,15,16,27,
38,39,46,47,48,50,51,52,53,80,119,150,153,180,191,192,194,196,201,203,204,205,
210,286,435,438,451,458,476,682,697,730,874,886,968],[1,4,5,6,7,8,13,14,17,27,
38,39,46,47,48,50,51,52,53,79,119,151,152,180,191,192,194,197,201,203,204,205,
210,287,435,438,452,459,476,682,698,731,875,887,969],[1,4,5,6,7,8,11,12,13,27,
38,39,42,47,48,50,51,52,53,56,119,146,147,174,191,192,194,198,201,203,204,205,
210,290,435,439,457,471,476,683,713,732,876,888,970],[1,4,6,7,8,11,12,27,40,
46,47,48,52,53,56,175,180,191,192,194,198,203,208,211,402,435,438,471,478,682,
727,732,876,971],[1,4,6,7,8,15,16,27,40,42,47,48,52,53,80,174,175,191,192,194,
196,203,208,211,401,435,439,458,478,683,726,730,874,972],[1,4,6,7,8,14,17,27,
40,42,47,48,52,53,79,174,175,191,192,194,197,203,208,211,400,435,439,459,478,
683,725,731,875,973],[1,2,3,4,6,7,9,10,11,12,14,15,16,17,18,19,20,21,22,23,24,
25,26,27,28,29,30,31,32,33,34,35,36,37,41,43,44,45,56,57,58,59,60,61,62,63,64,
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,
91,92,93,94,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,
115,116,117,118,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,
137,138,139,140,141,142,143,144,145,148,149,159,160,161,162,163,164,165,166,
167,168,169,170,171,172,173,183,186,187,215,216,217,218,219,220,221,222,223,
224,225,226,227,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,
245,246,247,248,249,250,251,252,253,258,259,260,261,262,263,264,265,266,267,
268,271,272,273,275,276,277,278,279,280,281,282,283,284,288,289,296,297,298,
299,300,301,302,303,304,305,306,307,316,317,318,319,320,321,322,323,324,325,
326,327,328,329,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,
346,347,348,349,350,359,360,361,362,363,364,365,366,367,368,369,370,371,372,
373,374,375,376,377,378,379,380,385,386,387,388,389,390,391,392,482,483,484,
485,486,487,488,489,490,491,494,495,496,497,498,499,500,501,504,505,506,507,
508,509,510,511,512,515,516,517,518,520,521,522,523,524,525,526,527,532,533,
534,535,536,537,538,539,540,541,542,543,544,545,546,547,548,549,550,551,552,
553,554,555,556,557,558,559,560,561,562,563,577,578,579,580,581,582,583,584,
587,588,593,594,603,604,605,606,607,608,609,610,611,612,613,614,615,616,617,
618,735,736,737,738,739,742,743,746,747,748,749,750,751,752,753,754,755,756,
757,758,759,768,769,770,771,784,785,891,892,896,897,974],[1,2,3,4,5,6,7,9,10,
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,
37,38,39,40,41,42,43,44,45,46,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,
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,
175,176,177,178,179,180,181,182,183,184,185,186,187,188,215,216,217,218,219,
220,223,224,226,227,228,229,230,233,235,237,238,239,240,241,242,243,244,245,
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,
360,364,365,366,367,368,369,373,374,379,380,382,384,387,388,389,390,393,394,
395,396,397,398,399,400,401,402,404,405,407,409,411,412,413,414,415,416,417,
421,422,423,424,425,426,482,484,486,488,490,491,492,493,494,495,496,497,498,
499,500,501,502,503,504,505,506,507,508,509,510,511,512,513,514,515,516,517,
518,519,520,521,522,523,524,528,530,532,534,536,539,541,542,545,547,548,550,
553,555,557,559,562,563,564,565,566,568,571,572,573,574,575,576,579,580,582,
584,585,586,587,589,591,592,594,595,596,598,600,601,602,604,607,608,610,613,
614,615,617,619,620,621,622,623,624,625,626,627,628,629,630,631,632,633,634,
635,638,639,640,641,645,647,649,650,652,653,654,659,660,661,662,664,667,735,
741,743,744,745,747,749,751,752,754,757,759,760,763,764,766,768,771,772,773,
776,778,780,782,783,784,785,786,787,788,790,793,796,805,806,807,810,812,813,
819,820,890,891,895,898,899,902,906,911,914,975],[1,2,3,4,5,6,7,9,10,11,12,13,
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,
40,41,42,43,44,45,46,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,
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,
176,177,178,179,180,181,182,183,184,185,186,187,188,215,216,217,218,219,221,
222,225,226,227,228,229,231,232,234,236,238,239,240,241,242,243,244,245,246,
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,
361,362,363,370,371,372,375,376,377,378,381,383,385,386,391,392,393,394,395,
396,397,398,399,400,401,402,403,406,407,408,410,412,413,414,415,416,417,421,
422,423,424,425,426,483,485,487,489,490,491,492,493,494,495,496,497,498,499,
500,501,502,503,504,505,506,507,508,509,510,511,512,513,514,515,516,517,518,
519,520,521,522,523,524,529,531,533,535,537,538,540,543,544,546,549,551,552,
554,556,558,560,561,564,565,567,569,570,572,573,574,575,576,577,578,581,583,
585,586,588,590,591,592,593,595,596,597,599,601,602,603,605,606,609,611,612,
616,618,619,620,621,622,623,624,625,626,627,628,629,630,631,632,633,634,635,
636,637,642,643,644,646,648,651,652,653,654,659,660,661,662,664,667,736,740,
742,744,745,746,748,750,753,755,756,758,761,762,765,767,769,770,772,774,775,
777,779,781,783,784,785,786,787,788,790,794,795,805,806,808,809,811,814,819,
820,889,892,894,898,900,901,905,912,913,976],[1,2,3,4,6,7,9,10,11,12,14,15,16,
17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,41,42,43,44,45,
46,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,
81,82,83,84,85,86,87,88,89,90,91,92,93,94,99,100,101,102,103,104,105,106,107,
108,109,110,111,112,113,114,115,116,117,118,122,123,124,125,126,127,128,129,
148,149,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,176,
177,178,179,180,183,184,185,186,187,215,216,217,218,219,226,227,238,239,240,
241,242,243,244,245,246,247,248,249,250,251,252,253,256,257,258,259,260,261,
262,263,264,265,266,267,268,269,270,271,272,273,275,276,277,278,279,280,281,
282,283,284,288,289,328,329,331,332,341,342,343,344,345,346,347,348,373,374,
375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,395,
396,397,403,404,405,406,408,409,410,411,490,491,494,495,496,497,498,499,500,
501,520,521,523,524,525,527,589,590,593,594,597,598,599,600,601,602,609,610,
611,612,613,614,615,616,617,618,644,645,646,647,648,649,650,651,737,739,764,
765,770,771,773,774,775,776,779,780,784,894,895,896,977],[1,2,3,4,6,7,9,10,11,
12,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,41,
42,43,44,45,46,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,
77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,99,100,101,102,103,104,
105,106,107,108,109,110,111,112,113,114,115,116,117,118,122,123,124,125,126,
127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,
148,149,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,176,
178,180,183,185,186,187,189,215,216,217,218,219,221,222,225,226,227,231,232,
234,236,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,256,
258,259,260,261,262,263,264,265,266,267,268,270,271,272,273,275,276,277,278,
279,280,281,282,283,284,288,289,296,297,298,299,300,301,302,303,304,305,306,
307,316,317,318,319,320,321,322,323,324,325,326,327,328,329,331,332,333,334,
335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,359,360,361,
362,363,370,371,372,375,376,377,378,382,384,385,386,391,392,395,397,404,405,
409,411,418,419,420,483,485,487,489,490,491,494,495,496,497,498,499,500,501,
504,505,506,507,508,509,510,511,512,515,516,517,518,520,521,522,523,524,533,
535,537,538,540,543,544,546,549,551,552,554,556,558,560,561,577,578,581,583,
588,589,593,598,600,601,603,605,606,609,611,612,616,618,645,647,649,650,655,
656,657,658,663,665,666,736,742,746,748,750,753,755,756,758,764,769,770,773,
776,780,784,785,789,791,792,798,800,802,804,892,893,895,907,910,978],[1,2,3,4,
6,7,9,10,11,12,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,
35,36,37,41,42,43,44,45,46,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,
73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,99,100,101,
102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,122,123,
124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,
143,144,145,148,149,159,160,161,162,163,164,165,166,167,168,169,170,171,172,
173,174,177,179,180,183,184,186,187,189,215,216,217,218,219,220,223,224,226,
227,230,233,235,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,
252,253,257,258,259,260,261,262,263,264,265,266,267,268,269,271,272,273,275,
276,277,278,279,280,281,282,283,284,288,289,296,297,298,299,300,301,302,303,
304,305,306,307,316,317,318,319,320,321,322,323,324,325,326,327,328,329,331,
332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,
359,360,364,365,366,367,368,369,373,374,379,380,381,383,387,388,389,390,395,
396,403,406,408,410,418,419,420,482,484,486,488,490,491,494,495,496,497,498,
499,500,501,504,505,506,507,508,509,510,511,512,515,516,517,518,520,521,522,
523,524,532,534,536,539,541,542,545,547,548,550,553,555,557,559,562,563,579,
580,582,584,587,590,594,597,599,602,604,607,608,610,613,614,615,617,644,646,
648,651,655,656,657,658,663,665,666,735,743,747,749,751,752,754,757,759,765,
768,771,774,775,779,784,785,789,791,792,797,799,801,803,891,893,894,908,909,
979],[1,2,3,4,5,6,7,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,
28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,56,57,58,59,60,61,62,
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,
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,
184,185,186,187,188,189,215,216,217,218,219,226,227,228,229,238,239,240,241,
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,
280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,308,309,310,
311,312,313,314,315,328,329,330,331,332,341,342,343,344,345,346,347,348,351,
352,353,354,355,356,357,358,373,374,375,376,377,378,379,380,385,386,387,388,
389,390,391,392,393,394,395,396,397,398,399,400,401,402,407,412,413,414,415,
416,417,418,419,420,421,422,423,424,425,426,490,491,492,493,494,495,496,497,
498,499,500,501,502,503,513,514,519,520,521,523,524,525,527,564,565,572,573,
574,575,576,585,586,591,592,593,594,595,596,601,602,609,610,611,612,613,614,
615,616,617,618,619,620,621,622,623,624,625,626,627,628,629,630,631,632,633,
634,635,652,653,654,655,656,657,658,659,660,661,662,663,664,665,666,667,737,
739,744,745,770,771,772,783,784,786,787,788,789,790,791,792,805,806,815,816,
817,818,819,820,893,896,898,903,904,980],[1,2,3,4,6,7,8,9,10,25,26,27,41,43,
48,49,52,53,54,89,170,173,187,189,190,202,203,206,207,209,268,420,427,428,429,
430,431,477,665,668,669,670,671,672,673,676,821,826,827,828,834,916,921,981],[
1,2,3,4,5,6,7,8,9,10,13,25,26,27,38,39,40,41,43,48,49,50,51,52,53,54,89,119,
120,121,154,170,173,175,187,190,201,202,203,204,205,206,207,208,209,210,211,
268,285,293,398,413,427,428,429,430,431,432,472,473,474,475,476,477,478,621,
668,669,670,671,672,673,676,677,678,679,680,728,821,826,827,828,829,830,831,
832,833,915,916,918,919,920,982],[1,2,3,4,6,7,8,9,10,25,26,27,41,43,44,45,48,
49,52,53,54,89,167,168,169,170,173,186,187,190,202,203,206,207,209,260,268,
427,428,429,430,431,477,527,668,669,670,671,672,673,674,675,676,821,822,823,
824,825,826,827,828,916,917,983],[1,2,3,4,6,7,9,10,11,12,14,17,18,19,21,22,24,
25,26,27,28,30,32,34,37,47,56,57,58,59,62,64,65,67,69,71,74,75,77,79,82,83,86,
87,89,90,91,93,99,101,104,105,108,110,112,114,116,118,194,195,215,216,219,220,
223,224,226,230,233,235,237,238,241,242,245,246,249,251,252,433,482,484,486,
488,490,735,835,928,930,984],[1,2,3,4,6,7,9,10,11,12,15,16,18,19,20,22,23,25,
26,27,29,31,33,35,36,47,56,57,58,60,61,63,66,68,70,72,73,76,78,80,81,84,85,88,
89,90,92,94,100,102,103,106,107,109,111,113,115,117,194,195,215,217,218,221,
222,225,227,231,232,234,236,239,240,243,244,247,248,250,253,433,483,485,487,
489,491,736,836,929,931,985],[1,3,4,6,7,10,15,16,18,19,21,22,24,27,28,30,32,
33,34,35,36,37,41,44,45,47,67,69,71,74,75,77,80,81,84,85,88,90,91,93,104,105,
108,117,118,126,128,130,131,132,133,134,137,140,141,159,160,163,164,166,173,
186,191,192,194,219,220,223,224,239,241,259,261,280,282,283,317,318,321,323,
324,326,328,349,360,364,365,366,387,388,389,390,435,482,494,518,545,547,548,
550,553,555,604,610,749,835,922,924,928,986],[1,3,4,6,7,10,14,17,18,19,20,22,
23,27,29,31,32,33,34,35,36,37,41,44,45,47,68,70,72,73,76,78,79,82,83,86,87,90,
92,94,103,106,107,117,118,127,129,130,131,132,133,135,136,138,139,159,160,161,
162,165,173,186,191,192,194,218,221,222,225,238,240,259,262,279,281,284,316,
319,320,322,325,327,329,349,359,361,362,363,385,386,391,392,435,483,495,517,
544,546,549,551,552,554,603,609,748,836,923,925,929,987],[1,3,4,6,7,10,18,19,
20,21,22,23,24,27,28,29,30,31,32,34,37,43,44,45,47,67,69,71,74,75,77,90,91,92,
93,94,103,104,105,106,107,108,118,135,136,138,139,142,143,144,145,148,149,163,
164,166,170,171,172,186,193,194,219,220,223,224,240,241,258,261,288,289,298,
299,302,303,305,307,331,350,359,364,365,366,373,374,379,380,434,482,496,516,
579,580,582,584,594,604,751,835,926,928,988],[1,3,4,6,7,10,18,19,20,21,22,23,
24,27,28,29,30,31,33,35,36,43,44,45,47,68,70,72,73,76,78,90,91,92,93,94,103,
104,105,106,107,108,117,134,137,140,141,142,143,144,145,148,149,161,162,165,
170,171,172,186,193,194,218,221,222,225,240,241,258,262,288,289,296,297,300,
301,304,306,331,350,360,361,362,363,375,376,377,378,434,483,496,515,577,578,
581,583,593,603,750,836,927,929,989],[1,2,3,6,7,12,14,15,17,18,19,20,21,22,24,
25,26,28,29,30,31,32,34,35,36,37,41,43,44,45,47,58,61,62,64,65,66,67,68,69,73,
74,75,77,83,84,86,87,99,100,101,103,104,105,108,109,110,114,116,123,125,126,
127,129,130,132,134,135,136,137,138,142,144,145,148,149,160,162,163,164,165,
167,169,172,183,187,191,193,195,220,224,233,235,242,243,246,251,264,265,272,
277,280,284,288,297,298,299,303,306,318,319,323,325,335,337,338,341,344,346,
348,364,366,367,369,373,379,380,388,389,390,436,486,497,506,508,532,542,545,
555,557,562,579,584,607,613,615,759,835,922,926,930,990],[1,2,3,6,7,12,14,15,
16,18,19,20,21,22,23,25,26,28,29,30,31,33,34,35,36,37,41,43,44,45,47,58,61,62,
63,65,66,67,68,70,73,74,76,78,83,84,85,88,99,100,102,103,105,106,107,109,110,
113,115,122,125,126,127,128,130,133,134,135,136,137,141,142,143,144,148,149,
159,161,162,164,166,167,169,171,183,187,191,193,195,221,225,232,234,242,243,
247,250,264,266,273,278,279,283,289,296,297,299,300,307,318,319,322,324,336,
337,338,342,344,346,347,361,363,370,372,376,377,378,385,391,392,436,487,498,
506,509,533,543,544,554,556,561,578,583,606,611,616,758,836,923,927,931,991],[
1,2,3,6,7,12,15,16,17,18,19,20,21,22,23,24,25,26,28,29,30,31,32,33,35,36,37,
41,43,44,45,47,58,59,61,63,64,66,68,70,71,73,75,76,78,82,84,85,88,100,101,102,
103,105,106,107,109,113,115,116,123,124,126,128,129,131,132,134,137,138,139,
140,143,144,145,148,149,159,161,162,163,166,168,169,171,183,187,192,193,195,
221,225,232,234,243,245,247,250,263,266,273,276,281,283,289,296,297,301,302,
305,316,320,323,326,334,335,339,341,343,345,348,362,363,371,372,375,377,378,
386,391,392,437,487,499,505,511,538,540,546,552,556,560,577,583,605,612,616,
755,836,925,927,931,992],[1,2,3,6,7,12,14,16,17,18,19,20,21,22,23,24,25,26,28,
29,30,31,32,33,34,36,37,41,43,44,45,47,58,60,62,63,64,65,67,69,72,74,75,76,77,
81,83,86,87,99,101,102,103,104,105,108,110,114,115,116,122,124,127,128,129,
131,133,135,136,139,140,141,143,144,145,148,149,160,161,163,164,165,168,169,
172,183,187,192,193,195,220,224,233,235,242,244,246,251,263,265,272,275,282,
284,288,298,299,301,302,304,317,321,322,327,333,336,339,342,343,345,347,365,
366,368,369,374,379,380,387,389,390,437,486,500,504,510,539,541,547,553,557,
563,580,584,608,614,615,754,835,924,926,930,993],[1,3,6,7,16,18,21,30,33,34,
41,42,45,47,74,81,104,128,133,140,160,163,184,189,192,220,282,317,365,383,389,
418,439,547,648,657,803,835,924,994],[1,3,6,7,17,19,20,31,32,35,41,42,45,47,
73,82,106,129,132,139,159,161,185,189,192,221,281,316,362,384,392,419,439,546,
649,658,804,836,925,995],[1,3,7,15,18,21,30,34,35,41,44,46,47,74,84,104,126,
130,134,160,164,179,189,191,220,280,318,364,390,406,418,438,545,651,655,799,
835,922,996],[1,3,7,14,19,20,31,34,35,41,44,46,47,73,83,106,127,130,135,159,
162,178,189,191,221,279,319,361,391,405,419,438,544,650,656,800,836,923,997],[
1,4,6,7,8,14,15,16,17,27,43,48,52,53,55,79,80,122,123,124,125,170,196,197,203,
212,332,440,441,442,443,444,458,459,684,691,692,932,998],[1,5,7,8,14,15,38,43,
46,50,51,53,55,95,96,125,150,151,154,182,196,197,204,213,356,440,441,442,451,
452,460,461,686,693,694,932,999],[1,3,4,8,10,28,29,30,31,44,45,48,54,55,93,94,
142,143,144,145,186,199,200,202,212,350,440,453,454,455,456,462,463,684,703,
704,933,1000],[1,2,3,7,8,26,28,29,34,35,44,45,49,53,54,55,61,62,130,136,137,
142,169,199,200,206,214,337,440,447,448,453,456,466,467,685,711,712,933,
1001],[1,2,3,6,8,25,28,29,32,33,44,49,52,54,55,59,60,131,138,141,142,167,199,
200,207,214,340,440,449,450,453,456,468,469,685,709,710,933,1002],[1,2,3,7,8,
14,15,20,21,26,41,43,49,53,54,55,99,100,125,126,127,149,187,196,197,206,214,
344,440,441,442,445,446,464,465,685,701,702,932,1003],[1,7,8,14,15,43,47,53,
125,190,191,196,197,430,441,442,673,730,731,1004],[1,3,8,28,29,44,47,54,142,
190,193,199,200,431,453,456,675,733,734,1005],[1,3,4,5,6,7,8,10,11,12,13,15,
16,18,19,20,21,22,23,24,27,28,29,30,31,33,35,36,38,39,40,41,42,44,45,46,48,50,
54,56,68,70,72,73,76,78,80,81,84,85,88,90,91,92,93,94,96,98,104,105,108,109,
111,113,115,117,119,121,126,128,134,137,140,141,142,143,144,145,150,153,155,
156,158,159,160,161,162,165,173,174,175,177,179,180,184,186,196,198,199,202,
208,210,218,229,231,232,234,236,239,241,253,255,257,259,262,269,280,282,283,
286,291,295,296,297,300,301,304,306,309,310,312,314,328,330,350,360,370,371,
372,385,386,391,392,393,394,397,398,399,401,402,403,406,407,408,410,415,416,
446,455,456,458,460,463,471,473,485,494,503,515,529,531,556,558,560,561,573,
576,588,591,596,597,599,609,624,626,636,637,651,653,654,687,690,703,719,726,
727,740,746,767,774,781,787,794,842,850,854,864,901,938,941,951,1006],[1,3,4,
5,6,7,8,10,11,12,13,14,17,18,19,20,21,22,23,24,27,28,29,30,31,32,34,37,38,39,
40,41,42,44,45,46,48,50,54,56,67,69,71,74,75,77,79,82,83,86,87,90,91,92,93,94,
95,97,103,106,107,110,112,114,116,118,119,121,127,129,135,136,138,139,142,143,
144,145,151,152,155,156,157,159,160,163,164,166,173,174,175,176,178,180,185,
186,197,198,200,202,208,210,219,228,230,233,235,237,238,240,252,254,256,259,
261,270,279,281,284,287,292,294,298,299,302,303,305,307,308,311,313,315,329,
330,350,359,367,368,369,387,388,389,390,393,394,396,398,399,400,402,404,405,
407,409,411,415,416,445,453,454,459,461,462,471,473,484,495,502,516,528,530,
557,559,562,563,572,575,587,592,595,598,600,610,625,627,638,639,650,652,654,
688,689,704,718,725,727,741,747,766,773,782,786,793,841,849,853,863,902,937,
942,952,1007],[1,3,4,5,6,7,8,10,11,12,13,14,15,16,17,18,19,20,22,23,27,29,31,
32,33,34,35,36,37,38,39,42,43,44,45,46,48,50,51,52,53,56,68,70,72,73,76,78,79,
80,81,82,83,84,85,86,87,88,90,92,94,95,96,97,98,109,111,113,115,117,118,119,
122,123,124,125,130,131,132,133,135,136,138,139,146,147,150,151,152,153,154,
155,156,157,161,162,165,170,171,172,174,176,177,178,179,180,181,182,184,186,
188,196,198,199,201,203,204,205,210,218,228,229,231,232,234,236,238,239,253,
257,258,262,269,270,274,275,276,277,278,285,286,287,290,292,308,309,310,311,
312,313,314,315,316,319,320,322,325,327,330,332,349,351,353,355,356,357,358,
359,370,371,372,375,376,377,378,381,383,403,406,408,410,417,421,422,423,424,
425,426,441,443,448,449,451,457,458,460,463,471,476,485,501,502,503,513,517,
519,529,531,533,535,537,538,540,543,567,569,570,588,590,593,597,599,630,631,
636,637,642,643,644,646,659,660,661,662,687,692,694,695,697,713,715,719,740,
742,761,772,777,779,781,808,809,811,814,842,847,848,852,854,860,905,940,947,
951,955,956,1008],[1,3,4,5,6,7,8,10,11,12,13,14,15,16,17,18,19,21,22,24,27,28,
30,32,33,34,35,36,37,38,39,42,43,44,45,46,48,50,51,52,53,56,67,69,71,74,75,77,
79,80,81,82,83,84,85,86,87,88,90,91,93,95,96,97,98,110,112,114,116,117,118,
119,122,123,124,125,130,131,132,133,134,137,140,141,146,147,150,151,152,153,
154,155,156,158,163,164,166,170,171,172,174,176,177,178,179,180,181,182,185,
186,188,197,198,200,201,203,204,205,210,219,228,229,230,233,235,237,238,239,
252,256,258,261,269,270,274,275,276,277,278,285,286,287,290,291,308,309,310,
311,312,313,314,315,317,318,321,323,324,326,330,332,349,352,354,355,356,357,
358,360,367,368,369,373,374,379,380,382,384,404,405,409,411,417,421,422,423,
424,425,426,442,444,447,450,452,457,459,461,462,471,476,484,501,502,503,514,
518,519,528,530,532,534,536,539,541,542,566,568,571,587,589,594,598,600,630,
631,638,639,640,641,645,647,659,660,661,662,688,691,693,696,698,713,714,718,
741,743,760,772,778,780,782,807,810,812,813,841,845,846,851,853,859,906,939,
948,952,953,954,1009],[1,3,4,5,6,7,8,10,11,12,13,14,17,18,19,20,21,22,23,24,
27,28,29,30,31,32,34,37,38,39,40,41,42,44,45,46,48,51,54,56,67,69,71,74,75,77,
79,82,83,86,87,90,91,92,93,94,95,97,103,106,107,110,112,114,116,118,119,121,
127,129,135,136,138,139,142,143,144,145,146,147,151,152,155,156,157,158,159,
160,163,164,166,173,174,175,176,178,180,185,186,197,198,200,201,202,211,219,
228,230,233,235,237,238,240,252,254,256,259,261,270,279,281,284,287,290,291,
292,294,298,299,302,303,305,307,308,311,313,315,329,330,350,352,354,359,367,
368,369,382,384,387,388,389,390,394,396,398,399,400,407,409,411,415,416,445,
452,453,454,457,459,462,471,475,484,495,502,514,516,557,559,562,563,566,568,
571,572,575,587,589,592,598,610,625,627,640,641,649,652,654,688,689,698,704,
713,723,747,760,763,776,778,786,796,841,849,851,870,899,935,939,942,1010],[1,
3,4,5,6,7,8,10,11,12,13,15,16,18,19,20,21,22,23,24,27,28,29,30,31,33,35,36,38,
39,40,41,42,44,45,46,48,51,54,56,68,70,72,73,76,78,80,81,84,85,88,90,91,92,93,
94,96,98,104,105,108,109,111,113,115,117,119,121,126,128,134,137,140,141,142,
143,144,145,146,147,150,153,155,156,157,158,159,160,161,162,165,173,174,175,
177,179,180,184,186,196,198,199,201,202,211,218,229,231,232,234,236,239,241,
253,255,257,259,262,269,280,282,283,286,290,291,292,295,296,297,300,301,304,
306,309,310,312,314,328,330,350,351,353,360,370,371,372,381,383,385,386,391,
392,393,397,398,399,401,407,408,410,415,416,446,451,455,456,457,458,463,471,
475,485,494,503,513,515,556,558,560,561,567,569,570,573,576,588,590,591,597,
609,624,626,642,643,648,653,654,687,690,697,703,713,724,746,761,762,775,777,
787,795,842,850,852,871,900,936,940,941,1011],[1,3,4,6,7,8,10,11,12,14,15,16,
17,18,19,20,22,23,27,29,31,32,33,34,35,36,37,40,42,43,44,45,46,48,52,53,56,68,
70,72,73,76,78,79,80,81,82,83,84,85,86,87,88,90,92,94,109,111,113,115,117,118,
122,123,124,125,130,131,132,133,135,136,138,139,161,162,165,170,171,172,174,
175,177,179,180,184,185,186,196,198,199,203,208,211,218,231,232,234,236,238,
239,253,254,255,256,257,258,262,269,275,276,277,278,316,319,320,322,325,327,
332,349,359,370,371,372,375,376,377,378,381,383,394,400,401,402,403,406,407,
408,410,412,413,414,441,443,448,449,458,463,471,478,485,501,517,533,535,537,
538,540,543,588,590,591,592,593,596,597,599,619,632,633,644,646,687,692,715,
724,726,727,742,762,767,779,783,794,795,842,847,848,872,912,936,938,947,
1012],[1,3,4,6,7,8,10,11,12,14,15,16,17,18,19,21,22,24,27,28,30,32,33,34,35,
36,37,40,42,43,44,45,46,48,52,53,56,67,69,71,74,75,77,79,80,81,82,83,84,85,86,
87,88,90,91,93,110,112,114,116,117,118,122,123,124,125,130,131,132,133,134,
137,140,141,163,164,166,170,171,172,174,175,176,178,180,184,185,186,197,198,
200,203,208,211,219,230,233,235,237,238,239,252,254,255,256,257,258,261,270,
275,276,277,278,317,318,321,323,324,326,332,349,360,367,368,369,373,374,379,
380,382,384,393,400,401,402,404,405,407,409,411,412,413,414,442,444,447,450,
459,462,471,478,484,501,518,532,534,536,539,541,542,587,589,591,592,594,595,
598,600,619,632,633,645,647,688,691,714,723,725,727,743,763,766,780,783,793,
796,841,845,846,873,911,935,937,948,1013],[1,2,3,4,6,7,8,9,10,11,12,14,15,16,
17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,41,43,44,45,48,
49,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,
78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,99,100,101,102,103,104,105,
106,107,108,109,110,111,112,113,114,115,116,117,118,122,123,124,125,126,127,
128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,148,
149,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,183,186,187,
197,198,200,202,203,206,207,209,215,216,217,218,219,220,223,224,226,227,230,
233,235,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,
258,259,260,261,262,263,264,265,266,267,268,271,272,273,275,276,277,278,279,
280,281,282,283,284,288,289,296,297,298,299,300,301,302,303,304,305,306,307,
316,317,318,319,320,321,322,323,324,325,326,327,328,329,331,332,333,334,335,
336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,359,360,364,365,
366,367,368,369,373,374,379,380,387,388,389,390,442,444,445,447,450,453,454,
459,462,465,467,468,470,471,477,482,484,486,488,490,491,494,495,496,497,498,
499,500,501,504,505,506,507,508,509,510,511,512,515,516,517,518,520,521,522,
523,524,532,534,536,539,541,542,545,547,548,550,553,555,557,559,562,563,579,
580,582,584,587,594,604,607,608,610,613,614,615,617,688,689,691,699,702,704,
706,708,710,711,714,716,720,722,735,743,747,749,751,752,754,757,759,768,771,
784,785,841,843,845,846,849,858,862,891,942,943,944,948,950,1014],[1,2,3,4,6,
7,8,9,10,11,12,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,
35,36,37,41,43,44,45,48,49,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,
70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,99,
100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,
122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,
141,142,143,144,145,148,149,159,160,161,162,163,164,165,166,167,168,169,170,
171,172,173,183,186,187,196,198,199,202,203,206,207,209,215,216,217,218,219,
221,222,225,226,227,231,232,234,236,238,239,240,241,242,243,244,245,246,247,
248,249,250,251,252,253,258,259,260,261,262,263,264,265,266,267,268,271,272,
273,275,276,277,278,279,280,281,282,283,284,288,289,296,297,298,299,300,301,
302,303,304,305,306,307,316,317,318,319,320,321,322,323,324,325,326,327,328,
329,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,
349,350,359,360,361,362,363,370,371,372,375,376,377,378,385,386,391,392,441,
443,446,448,449,455,456,458,463,464,466,469,470,471,477,483,485,487,489,490,
491,494,495,496,497,498,499,500,501,504,505,506,507,508,509,510,511,512,515,
516,517,518,520,521,522,523,524,533,535,537,538,540,543,544,546,549,551,552,
554,556,558,560,561,577,578,581,583,588,593,603,605,606,609,611,612,616,618,
687,690,692,700,701,703,705,707,709,712,715,717,721,722,736,742,746,748,750,
753,755,756,758,769,770,784,785,842,844,847,848,850,857,861,892,941,945,946,
947,949,1015],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,17,18,19,21,22,24,25,26,27,28,
30,32,34,37,38,39,40,42,46,48,49,50,56,57,58,59,62,64,65,67,69,71,74,75,77,79,
82,83,86,87,89,90,91,93,95,97,99,101,104,105,108,110,112,114,116,118,119,120,
121,146,147,151,152,155,156,158,174,175,176,178,180,185,197,198,200,209,210,
211,215,216,219,220,223,224,226,228,230,233,235,237,238,241,242,245,246,249,
251,252,254,256,270,287,290,291,293,295,308,311,313,315,330,352,354,382,384,
393,395,397,400,402,404,405,407,409,411,459,461,462,465,467,468,470,471,474,
482,484,486,488,490,492,502,514,528,530,565,566,568,571,573,574,586,589,592,
595,598,600,601,688,716,718,720,722,723,735,741,744,760,763,764,766,841,843,
853,868,890,935,950,952,1016],[1,2,3,4,5,6,7,8,9,10,11,12,13,15,16,18,19,20,
22,23,25,26,27,29,31,33,35,36,38,39,40,42,46,48,49,50,56,57,58,60,61,63,66,68,
70,72,73,76,78,80,81,84,85,88,89,90,92,94,96,98,100,102,103,106,107,109,111,
113,115,117,119,120,121,146,147,150,153,155,156,157,174,175,177,179,180,184,
196,198,199,209,210,211,215,217,218,221,222,225,227,229,231,232,234,236,239,
240,243,244,247,248,250,253,255,257,269,286,290,292,293,294,309,310,312,314,
330,351,353,381,383,394,395,396,401,402,403,406,407,408,410,458,460,463,464,
466,469,470,471,474,483,485,487,489,491,493,503,513,529,531,564,567,569,570,
572,574,585,590,591,596,597,599,602,687,717,719,721,722,724,736,740,745,761,
762,765,767,842,844,854,869,889,936,949,951,1017],[1,2,3,4,5,6,7,8,9,10,11,12,
13,14,17,18,19,21,22,24,25,26,27,28,30,32,34,37,38,39,40,42,46,48,49,51,56,57,
58,59,62,64,65,67,69,71,74,75,77,79,82,83,86,87,89,90,91,93,95,97,99,101,104,
105,108,110,112,114,116,118,119,120,121,146,147,151,152,155,156,158,174,175,
176,178,180,185,197,198,200,201,208,209,215,216,219,220,223,224,226,228,230,
233,235,237,238,241,242,245,246,249,251,252,254,256,270,287,290,291,293,295,
308,311,313,315,330,352,354,382,384,393,395,397,400,402,404,405,407,409,411,
452,457,459,462,465,467,468,470,471,472,482,484,486,488,490,492,502,514,528,
530,565,566,568,571,573,574,586,589,592,595,598,600,601,688,698,713,716,720,
722,725,727,735,741,744,760,763,764,766,841,843,851,865,867,890,937,939,950,
1018],[1,2,3,4,5,6,7,8,9,10,11,12,13,15,16,18,19,20,22,23,25,26,27,29,31,33,
35,36,38,39,40,42,46,48,49,51,56,57,58,60,61,63,66,68,70,72,73,76,78,80,81,84,
85,88,89,90,92,94,96,98,100,102,103,106,107,109,111,113,115,117,119,120,121,
146,147,150,153,155,156,157,174,175,177,179,180,184,196,198,199,201,208,209,
215,217,218,221,222,225,227,229,231,232,234,236,239,240,243,244,247,248,250,
253,255,257,269,286,290,292,293,294,309,310,312,314,330,351,353,381,383,394,
395,396,401,402,403,406,407,408,410,451,457,458,463,464,466,469,470,471,472,
483,485,487,489,491,493,503,513,529,531,564,567,569,570,572,574,585,590,591,
596,597,599,602,687,697,713,717,721,722,726,727,736,740,745,761,762,765,767,
842,844,852,866,867,889,938,940,949,1019],[1,2,3,4,5,6,7,8,9,10,11,12,13,18,
19,22,25,26,27,38,39,40,41,42,43,46,48,49,51,56,57,58,89,90,119,120,121,146,
147,154,155,156,159,160,170,171,172,173,174,175,180,181,182,183,187,188,189,
198,201,208,209,215,258,259,268,271,272,273,274,285,290,293,330,395,398,399,
402,407,412,413,414,415,416,417,418,419,420,425,426,457,470,471,472,523,525,
574,619,620,621,628,629,630,634,635,654,663,665,666,713,722,727,737,789,790,
815,817,855,867,904,957,959,960,1020],[1,2,3,4,5,6,7,8,9,10,13,15,16,20,23,25,
26,27,38,39,40,42,46,47,48,49,50,51,52,53,54,80,89,92,100,102,119,120,121,150,
153,157,174,175,180,191,192,193,194,195,196,201,202,203,204,205,206,207,208,
209,210,211,227,286,292,293,394,395,401,433,434,435,436,437,438,439,451,458,
464,472,473,474,475,476,477,478,564,681,682,683,697,717,726,728,730,837,866,
874,878,886,963,968,972,1021],[1,2,3,4,5,6,7,8,9,10,13,14,17,21,24,25,26,27,
38,39,40,42,46,47,48,49,50,51,52,53,54,79,89,91,99,101,119,120,121,151,152,
158,174,175,180,191,192,193,194,195,197,201,202,203,204,205,206,207,208,209,
210,211,226,287,291,293,393,395,400,433,434,435,436,437,438,439,452,459,465,
472,473,474,475,476,477,478,565,681,682,683,698,716,725,728,731,837,865,875,
877,887,964,969,973,1022],[1,2,3,4,5,6,7,8,9,10,11,12,13,18,19,22,25,26,27,38,
39,40,42,46,47,48,49,50,51,52,53,54,56,57,58,89,90,119,120,121,146,147,155,
156,174,175,180,191,192,193,194,195,198,201,202,203,204,205,206,207,208,209,
210,211,215,290,293,330,395,402,407,433,434,435,436,437,438,439,457,470,471,
472,473,474,475,476,477,478,574,681,682,683,713,722,727,728,732,837,867,876,
885,888,965,970,971,1023],[1,2,3,4,5,6,7,9,10,11,12,13,14,15,16,17,18,19,20,
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,
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,
182,183,184,185,186,187,188,189,215,216,217,218,219,220,221,222,223,224,225,
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,
416,417,418,419,420,421,422,423,424,425,426,482,483,484,485,486,487,488,489,
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,
661,662,663,664,665,666,667,735,736,737,738,739,740,741,742,743,744,745,746,
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,
804,805,806,807,808,809,810,811,812,813,814,815,816,817,818,819,820,889,890,
891,892,893,894,895,896,897,898,899,900,901,902,903,904,905,906,907,908,909,
910,911,912,913,914,974,975,976,977,978,979,980,1024],[1,2,3,4,5,6,7,8,9,10,
13,25,26,27,38,39,40,41,43,44,45,48,49,50,51,52,53,54,89,119,120,121,154,167,
168,169,170,173,175,186,187,189,190,201,202,203,204,205,206,207,208,209,210,
211,260,268,285,293,398,413,420,427,428,429,430,431,432,472,473,474,475,476,
477,478,527,621,665,668,669,670,671,672,673,674,675,676,677,678,679,680,728,
818,821,822,823,824,825,826,827,828,829,830,831,832,833,834,915,916,917,918,
919,920,921,981,982,983,1025],[1,2,3,4,6,7,9,10,11,12,14,15,16,17,18,19,20,21,
22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,41,43,44,45,47,56,57,58,59,60,
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,
87,88,89,90,91,92,93,94,99,100,101,102,103,104,105,106,107,108,109,110,111,
112,113,114,115,116,117,118,122,123,124,125,126,127,128,129,130,131,132,133,
134,135,136,137,138,139,140,141,142,143,144,145,148,149,159,160,161,162,163,
164,165,166,167,168,169,170,171,172,173,183,186,187,191,192,193,194,195,215,
216,217,218,219,220,223,224,226,227,230,233,235,237,238,239,240,241,242,243,
244,245,246,247,248,249,250,251,252,253,258,259,260,261,262,263,264,265,266,
267,268,271,272,273,275,276,277,278,279,280,281,282,283,284,288,289,296,297,
298,299,300,301,302,303,304,305,306,307,316,317,318,319,320,321,322,323,324,
325,326,327,328,329,331,332,333,334,335,336,337,338,339,340,341,342,343,344,
345,346,347,348,349,350,359,360,364,365,366,367,368,369,373,374,379,380,387,
388,389,390,433,434,435,436,437,482,484,486,488,490,491,494,495,496,497,498,
499,500,501,504,505,506,507,508,509,510,511,512,515,516,517,518,520,521,522,
523,524,532,534,536,539,541,542,545,547,548,550,553,555,557,559,562,563,579,
580,582,584,587,594,604,607,608,610,613,614,615,617,681,735,743,747,749,751,
752,754,757,759,768,771,784,785,835,891,922,924,926,928,930,984,986,988,990,
993,1026],[1,2,3,4,6,7,9,10,11,12,14,15,16,17,18,19,20,21,22,23,24,25,26,27,
28,29,30,31,32,33,34,35,36,37,41,43,44,45,47,56,57,58,59,60,61,62,63,64,65,66,
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,
93,94,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,
117,118,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,
139,140,141,142,143,144,145,148,149,159,160,161,162,163,164,165,166,167,168,
169,170,171,172,173,183,186,187,191,192,193,194,195,215,216,217,218,219,221,
222,225,226,227,231,232,234,236,238,239,240,241,242,243,244,245,246,247,248,
249,250,251,252,253,258,259,260,261,262,263,264,265,266,267,268,271,272,273,
275,276,277,278,279,280,281,282,283,284,288,289,296,297,298,299,300,301,302,
303,304,305,306,307,316,317,318,319,320,321,322,323,324,325,326,327,328,329,
331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,
350,359,360,361,362,363,370,371,372,375,376,377,378,385,386,391,392,433,434,
435,436,437,483,485,487,489,490,491,494,495,496,497,498,499,500,501,504,505,
506,507,508,509,510,511,512,515,516,517,518,520,521,522,523,524,533,535,537,
538,540,543,544,546,549,551,552,554,556,558,560,561,577,578,581,583,588,593,
603,605,606,609,611,612,616,618,681,736,742,746,748,750,753,755,756,758,769,
770,784,785,836,892,923,925,927,929,931,985,987,989,991,992,1027],[1,3,4,6,7,
10,15,16,18,19,21,22,24,27,28,30,32,33,34,35,36,37,41,44,45,46,47,67,69,71,74,
75,77,80,81,84,85,88,90,91,93,104,105,108,117,118,126,128,130,131,132,133,134,
137,140,141,159,160,163,164,166,173,177,179,180,186,189,191,192,194,219,220,
223,224,239,241,259,261,269,280,282,283,317,318,321,323,324,326,328,349,360,
364,365,366,387,388,389,390,403,406,418,419,420,435,438,482,494,518,545,547,
548,550,553,555,599,604,610,651,655,657,663,682,749,774,792,797,799,835,908,
922,924,928,986,996,1028],[1,3,4,6,7,10,14,17,18,19,20,22,23,27,29,31,32,33,
34,35,36,37,41,44,45,46,47,68,70,72,73,76,78,79,82,83,86,87,90,92,94,103,106,
107,117,118,127,129,130,131,132,133,135,136,138,139,159,160,161,162,165,173,
176,178,180,186,189,191,192,194,218,221,222,225,238,240,259,262,270,279,281,
284,316,319,320,322,325,327,329,349,359,361,362,363,385,386,391,392,404,405,
418,419,420,435,438,483,495,517,544,546,549,551,552,554,600,603,609,650,656,
658,663,682,748,773,791,798,800,836,907,923,925,929,987,997,1029],[1,3,4,6,7,
10,14,17,18,19,20,22,23,27,29,31,32,33,34,35,36,37,41,42,44,45,47,68,70,72,73,
76,78,79,82,83,86,87,90,92,94,103,106,107,117,118,127,129,130,131,132,133,135,
136,138,139,159,160,161,162,165,173,174,185,186,189,191,192,194,218,221,222,
225,238,240,256,259,262,279,281,284,316,319,320,322,325,327,329,349,359,361,
362,363,382,384,385,386,391,392,418,419,420,435,439,483,495,517,544,546,549,
551,552,554,589,603,609,649,656,658,663,683,748,776,791,802,804,836,910,923,
925,929,987,995,1030],[1,3,4,6,7,10,15,16,18,19,21,22,24,27,28,30,32,33,34,35,
36,37,41,42,44,45,47,67,69,71,74,75,77,80,81,84,85,88,90,91,93,104,105,108,
117,118,126,128,130,131,132,133,134,137,140,141,159,160,163,164,166,173,174,
184,186,189,191,192,194,219,220,223,224,239,241,257,259,261,280,282,283,317,
318,321,323,324,326,328,349,360,364,365,366,381,383,387,388,389,390,418,419,
420,435,439,482,494,518,545,547,548,550,553,555,590,604,610,648,655,657,663,
683,749,775,792,801,803,835,909,922,924,928,986,994,1031],[1,4,6,7,8,14,15,16,
17,27,40,42,43,48,52,53,55,79,80,122,123,124,125,170,174,175,196,197,203,208,
211,212,254,255,332,400,401,413,414,440,441,442,443,444,458,459,478,481,632,
684,691,692,723,724,725,726,840,872,873,932,998,1032],[1,4,5,6,7,8,13,14,15,
16,17,27,38,39,43,46,48,50,51,52,53,55,79,80,95,96,97,98,119,122,123,124,125,
150,151,152,153,154,170,180,181,182,196,197,201,203,204,205,210,212,213,228,
229,274,285,286,287,332,355,356,357,358,440,441,442,443,444,451,452,458,459,
460,461,476,479,519,684,686,691,692,693,694,695,696,697,698,718,719,839,859,
860,932,998,999,1033],[1,2,3,4,6,7,8,9,10,14,15,16,17,20,21,23,24,25,26,27,41,
43,48,49,52,53,54,55,79,80,89,91,92,99,100,101,102,122,123,124,125,126,127,
128,129,148,149,170,173,187,196,197,202,203,206,207,209,212,214,226,227,268,
328,329,331,332,341,342,343,344,440,441,442,443,444,445,446,458,459,464,465,
477,480,520,684,685,689,690,691,692,699,700,701,702,716,717,838,857,858,932,
998,1003,1034],[1,2,3,4,6,7,8,9,10,25,26,27,28,29,30,31,32,33,34,35,36,37,44,
45,48,49,52,53,54,55,59,60,61,62,63,64,65,66,89,93,94,117,118,130,131,132,133,
134,135,136,137,138,139,140,141,142,143,144,145,167,168,169,186,199,200,202,
203,206,207,209,212,214,216,217,260,333,334,335,336,337,338,339,340,349,350,
359,360,440,447,448,449,450,453,454,455,456,462,463,466,467,468,469,477,480,
522,684,685,703,704,705,706,707,708,709,710,711,712,714,715,720,721,838,861,
862,933,1000,1001,1002,1035],[1,4,6,7,8,14,15,16,17,27,43,47,48,52,53,79,80,
122,123,124,125,170,190,191,192,194,196,197,203,332,427,429,430,435,441,442,
443,444,458,459,671,673,691,692,730,731,821,874,875,1004,1036],[1,2,3,6,8,25,
28,29,32,33,44,47,49,52,54,59,60,131,138,141,142,167,190,192,193,195,199,200,
207,340,428,429,431,437,449,450,453,456,468,469,670,675,709,710,733,734,823,
881,882,1005,1037],[1,2,3,7,8,26,28,29,34,35,44,45,47,49,53,54,61,62,130,136,
137,142,169,190,191,193,195,199,200,206,337,428,430,431,436,447,448,453,456,
466,467,669,674,675,711,712,733,734,824,883,884,1005,1038],[1,3,4,8,10,28,29,
30,31,44,45,47,48,54,93,94,142,143,144,145,186,190,193,194,199,200,202,350,
427,431,434,453,454,455,456,462,463,668,674,675,703,704,733,734,825,879,880,
1005,1039],[1,2,3,7,8,14,15,20,21,26,41,43,47,49,53,54,99,100,125,126,127,149,
187,190,191,193,195,196,197,206,344,428,430,431,436,441,442,445,446,464,465,
669,673,676,701,702,730,731,827,877,878,1004,1040],[1,5,7,8,14,15,38,43,46,47,
50,51,53,95,96,125,150,151,154,182,190,191,196,197,204,356,430,432,438,441,
442,451,452,460,461,673,678,693,694,730,731,833,886,887,1004,1041],[1,2,3,4,6,
7,8,9,10,11,12,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,
35,36,37,41,43,44,45,48,49,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,
73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,99,100,101,
102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,122,123,
124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,
143,144,145,148,149,159,160,161,162,163,164,165,166,167,168,169,170,171,172,
173,183,186,187,196,197,198,199,200,209,215,216,217,218,219,220,221,222,223,
224,225,226,227,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,
245,246,247,248,249,250,251,252,253,258,259,260,261,262,263,264,265,266,267,
268,271,272,273,275,276,277,278,279,280,281,282,283,284,288,289,296,297,298,
299,300,301,302,303,304,305,306,307,316,317,318,319,320,321,322,323,324,325,
326,327,328,329,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,
346,347,348,349,350,359,360,361,362,363,364,365,366,367,368,369,370,371,372,
373,374,375,376,377,378,379,380,385,386,387,388,389,390,391,392,458,459,462,
463,464,465,466,467,468,469,470,471,482,483,484,485,486,487,488,489,490,491,
494,495,496,497,498,499,500,501,504,505,506,507,508,509,510,511,512,515,516,
517,518,520,521,522,523,524,525,526,527,532,533,534,535,536,537,538,539,540,
541,542,543,544,545,546,547,548,549,550,551,552,553,554,555,556,557,558,559,
560,561,562,563,577,578,579,580,581,582,583,584,587,588,593,594,603,604,605,
606,607,608,609,610,611,612,613,614,615,616,617,618,687,688,716,717,720,721,
722,735,736,737,738,739,742,743,746,747,748,749,750,751,752,753,754,755,756,
757,758,759,768,769,770,771,784,785,841,842,843,844,855,856,891,892,896,897,
949,950,957,958,974,1042],[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,
48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,
75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,
100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,
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,
176,177,178,179,180,181,182,183,184,185,186,187,188,197,198,200,201,202,203,
204,205,206,207,208,209,210,211,215,216,217,218,219,220,223,224,226,227,228,
229,230,233,235,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,
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,
347,348,349,350,351,352,353,354,355,356,357,358,359,360,364,365,366,367,368,
369,373,374,379,380,382,384,387,388,389,390,393,394,395,396,397,398,399,400,
401,402,404,405,407,409,411,412,413,414,415,416,417,421,422,423,424,425,426,
442,444,445,447,450,452,453,454,457,459,461,462,465,467,468,470,471,472,473,
474,475,476,477,478,482,484,486,488,490,491,492,493,494,495,496,497,498,499,
500,501,502,503,504,505,506,507,508,509,510,511,512,513,514,515,516,517,518,
519,520,521,522,523,524,528,530,532,534,536,539,541,542,545,547,548,550,553,
555,557,559,562,563,564,565,566,568,571,572,573,574,575,576,579,580,582,584,
585,586,587,589,591,592,594,595,596,598,600,601,602,604,607,608,610,613,614,
615,617,619,620,621,622,623,624,625,626,627,628,629,630,631,632,633,634,635,
638,639,640,641,645,647,649,650,652,653,654,659,660,661,662,664,667,688,689,
691,693,696,698,699,702,704,706,708,710,711,713,714,716,718,720,722,723,725,
727,728,735,741,743,744,745,747,749,751,752,754,757,759,760,763,764,766,768,
771,772,773,776,778,780,782,783,784,785,786,787,788,790,793,796,805,806,807,
810,812,813,819,820,841,843,845,846,849,851,853,858,859,862,863,865,867,868,
870,873,890,891,895,898,899,902,906,911,914,935,937,939,942,943,944,948,950,
952,953,954,962,975,1007,1009,1010,1013,1014,1016,1018,1043],[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,
35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,56,57,58,59,60,61,62,
63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,
89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,
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,
187,188,196,198,199,201,202,203,204,205,206,207,208,209,210,211,215,216,217,
218,219,221,222,225,226,227,228,229,231,232,234,236,238,239,240,241,242,243,
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,
358,359,360,361,362,363,370,371,372,375,376,377,378,381,383,385,386,391,392,
393,394,395,396,397,398,399,400,401,402,403,406,407,408,410,412,413,414,415,
416,417,421,422,423,424,425,426,441,443,446,448,449,451,455,456,457,458,460,
463,464,466,469,470,471,472,473,474,475,476,477,478,483,485,487,489,490,491,
492,493,494,495,496,497,498,499,500,501,502,503,504,505,506,507,508,509,510,
511,512,513,514,515,516,517,518,519,520,521,522,523,524,529,531,533,535,537,
538,540,543,544,546,549,551,552,554,556,558,560,561,564,565,567,569,570,572,
573,574,575,576,577,578,581,583,585,586,588,590,591,592,593,595,596,597,599,
601,602,603,605,606,609,611,612,616,618,619,620,621,622,623,624,625,626,627,
628,629,630,631,632,633,634,635,636,637,642,643,644,646,648,651,652,653,654,
659,660,661,662,664,667,687,690,692,694,695,697,700,701,703,705,707,709,712,
713,715,717,719,721,722,724,726,727,728,736,740,742,744,745,746,748,750,753,
755,756,758,761,762,765,767,769,770,772,774,775,777,779,781,783,784,785,786,
787,788,790,794,795,805,806,808,809,811,814,819,820,842,844,847,848,850,852,
854,857,860,861,864,866,867,869,871,872,889,892,894,898,900,901,905,912,913,
936,938,940,941,945,946,947,949,951,955,956,961,976,1006,1008,1011,1012,1015,
1017,1019,1044],[1,2,3,4,6,7,9,10,11,12,14,15,16,17,18,19,20,21,22,23,24,25,
26,27,28,29,30,31,32,33,34,35,36,37,41,42,43,44,45,46,47,56,57,58,59,60,61,62,
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,
89,90,91,92,93,94,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,
114,115,116,117,118,122,123,124,125,126,127,128,129,130,131,132,133,134,135,
136,137,138,139,140,141,142,143,144,145,148,149,159,160,161,162,163,164,165,
166,167,168,169,170,171,172,173,174,177,179,180,183,184,186,187,189,191,192,
193,194,195,215,216,217,218,219,220,223,224,226,227,230,233,235,237,238,239,
240,241,242,243,244,245,246,247,248,249,250,251,252,253,257,258,259,260,261,
262,263,264,265,266,267,268,269,271,272,273,275,276,277,278,279,280,281,282,
283,284,288,289,296,297,298,299,300,301,302,303,304,305,306,307,316,317,318,
319,320,321,322,323,324,325,326,327,328,329,331,332,333,334,335,336,337,338,
339,340,341,342,343,344,345,346,347,348,349,350,359,360,364,365,366,367,368,
369,373,374,379,380,381,383,387,388,389,390,395,396,403,406,408,410,418,419,
420,433,434,435,436,437,438,439,482,484,486,488,490,491,494,495,496,497,498,
499,500,501,504,505,506,507,508,509,510,511,512,515,516,517,518,520,521,522,
523,524,532,534,536,539,541,542,545,547,548,550,553,555,557,559,562,563,579,
580,582,584,587,590,594,597,599,602,604,607,608,610,613,614,615,617,644,646,
648,651,655,656,657,658,663,665,666,681,682,683,735,743,747,749,751,752,754,
757,759,765,768,771,774,775,779,784,785,789,791,792,797,799,801,803,835,837,
891,893,894,908,909,922,924,926,928,930,979,984,986,988,990,993,994,996,1026,
1028,1031,1045],[1,2,3,4,6,7,9,10,11,12,14,15,16,17,18,19,20,21,22,23,24,25,
26,27,28,29,30,31,32,33,34,35,36,37,41,42,43,44,45,46,47,56,57,58,59,60,61,62,
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,
89,90,91,92,93,94,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,
114,115,116,117,118,122,123,124,125,126,127,128,129,130,131,132,133,134,135,
136,137,138,139,140,141,142,143,144,145,148,149,159,160,161,162,163,164,165,
166,167,168,169,170,171,172,173,174,176,178,180,183,185,186,187,189,191,192,
193,194,195,215,216,217,218,219,221,222,225,226,227,231,232,234,236,238,239,
240,241,242,243,244,245,246,247,248,249,250,251,252,253,256,258,259,260,261,
262,263,264,265,266,267,268,270,271,272,273,275,276,277,278,279,280,281,282,
283,284,288,289,296,297,298,299,300,301,302,303,304,305,306,307,316,317,318,
319,320,321,322,323,324,325,326,327,328,329,331,332,333,334,335,336,337,338,
339,340,341,342,343,344,345,346,347,348,349,350,359,360,361,362,363,370,371,
372,375,376,377,378,382,384,385,386,391,392,395,397,404,405,409,411,418,419,
420,433,434,435,436,437,438,439,483,485,487,489,490,491,494,495,496,497,498,
499,500,501,504,505,506,507,508,509,510,511,512,515,516,517,518,520,521,522,
523,524,533,535,537,538,540,543,544,546,549,551,552,554,556,558,560,561,577,
578,581,583,588,589,593,598,600,601,603,605,606,609,611,612,616,618,645,647,
649,650,655,656,657,658,663,665,666,681,682,683,736,742,746,748,750,753,755,
756,758,764,769,770,773,776,780,784,785,789,791,792,798,800,802,804,836,837,
892,893,895,907,910,923,925,927,929,931,978,985,987,989,991,992,995,997,1027,
1029,1030,1046],[1,2,3,4,5,6,7,8,9,10,13,14,15,16,17,20,21,23,24,25,26,27,38,
39,40,41,42,43,46,48,49,50,51,52,53,54,55,79,80,89,91,92,95,96,97,98,99,100,
101,102,119,120,121,122,123,124,125,126,127,128,129,148,149,150,151,152,153,
154,157,158,170,173,174,175,180,181,182,187,196,197,201,202,203,204,205,206,
207,208,209,210,211,212,213,214,226,227,228,229,254,255,268,274,285,286,287,
291,292,293,294,295,328,329,331,332,341,342,343,344,355,356,357,358,393,394,
395,398,399,400,401,413,414,416,440,441,442,443,444,445,446,451,452,458,459,
460,461,464,465,472,473,474,475,476,477,478,479,480,481,492,493,519,520,564,
565,575,576,621,622,624,625,632,634,664,684,685,686,689,690,691,692,693,694,
695,696,697,698,699,700,701,702,716,717,718,719,723,724,725,726,728,729,806,
838,839,840,857,858,859,860,863,864,865,866,868,869,870,871,872,873,932,934,
961,962,998,999,1003,1032,1033,1034,1047],[1,4,5,6,7,8,13,14,15,16,17,27,38,
39,43,46,47,48,50,51,52,53,79,80,95,96,97,98,119,122,123,124,125,150,151,152,
153,154,170,180,181,182,190,191,192,194,196,197,201,203,204,205,210,228,229,
274,285,286,287,332,355,356,357,358,427,429,430,432,435,438,441,442,443,444,
451,452,458,459,460,461,476,519,671,673,677,678,679,682,691,692,693,694,695,
696,697,698,718,719,730,731,821,829,833,859,860,874,875,886,887,915,968,969,
1004,1036,1041,1048],[1,2,3,4,6,7,8,9,10,14,15,16,17,20,21,23,24,25,26,27,41,
43,47,48,49,52,53,54,79,80,89,91,92,99,100,101,102,122,123,124,125,126,127,
128,129,148,149,170,173,187,190,191,192,193,194,195,196,197,202,203,206,207,
209,226,227,268,328,329,331,332,341,342,343,344,427,428,429,430,431,433,434,
435,436,437,441,442,443,444,445,446,458,459,464,465,477,520,668,669,670,671,
672,673,676,681,689,690,691,692,699,700,701,702,716,717,730,731,821,826,827,
828,857,858,874,875,877,878,916,963,964,1004,1036,1040,1049],[1,2,3,4,6,7,8,9,
10,25,26,27,28,29,30,31,32,33,34,35,36,37,44,45,47,48,49,52,53,54,59,60,61,62,
63,64,65,66,89,93,94,117,118,130,131,132,133,134,135,136,137,138,139,140,141,
142,143,144,145,167,168,169,186,190,191,192,193,194,195,199,200,202,203,206,
207,209,216,217,260,333,334,335,336,337,338,339,340,349,350,359,360,427,428,
429,430,431,433,434,435,436,437,447,448,449,450,453,454,455,456,462,463,466,
467,468,469,477,522,668,669,670,671,672,674,675,681,703,704,705,706,707,708,
709,710,711,712,714,715,720,721,733,734,822,823,824,825,828,861,862,879,880,
881,882,883,884,917,966,967,1005,1037,1038,1039,1050],[1,4,6,7,8,14,15,16,17,
27,40,42,43,47,48,52,53,79,80,122,123,124,125,170,174,175,190,191,192,194,196,
197,203,208,211,254,255,332,400,401,413,414,427,429,430,435,439,441,442,443,
444,458,459,478,632,671,673,680,683,691,692,723,724,725,726,730,731,821,830,
872,873,874,875,918,972,973,1004,1036,1051],[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,
41,42,43,44,45,46,48,49,51,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,
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,
175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,196,197,198,199,
200,201,208,209,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,
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,
420,421,422,423,424,425,426,451,452,457,458,459,462,463,464,465,466,467,468,
469,470,471,472,482,483,484,485,486,487,488,489,490,491,492,493,494,495,496,
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,
687,688,697,698,713,716,717,720,721,722,725,726,727,735,736,737,738,739,740,
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,
817,818,819,820,841,842,843,844,851,852,855,856,865,866,867,889,890,891,892,
893,894,895,896,897,898,899,900,901,902,903,904,905,906,907,908,909,910,911,
912,913,914,937,938,939,940,949,950,957,958,959,960,974,975,976,977,978,979,
980,1018,1019,1020,1024,1042,1052],[1,2,3,4,5,6,7,8,9,10,13,14,15,16,17,20,21,
23,24,25,26,27,38,39,40,41,42,43,46,47,48,49,50,51,52,53,54,79,80,89,91,92,95,
96,97,98,99,100,101,102,119,120,121,122,123,124,125,126,127,128,129,148,149,
150,151,152,153,154,157,158,170,173,174,175,180,181,182,187,190,191,192,193,
194,195,196,197,201,202,203,204,205,206,207,208,209,210,211,226,227,228,229,
254,255,268,274,285,286,287,291,292,293,294,295,328,329,331,332,341,342,343,
344,355,356,357,358,393,394,395,398,399,400,401,413,414,416,427,428,429,430,
431,432,433,434,435,436,437,438,439,441,442,443,444,445,446,451,452,458,459,
460,461,464,465,472,473,474,475,476,477,478,492,493,519,520,564,565,575,576,
621,622,624,625,632,634,664,668,669,670,671,672,673,676,677,678,679,680,681,
682,683,689,690,691,692,693,694,695,696,697,698,699,700,701,702,716,717,718,
719,723,724,725,726,728,730,731,806,821,826,827,828,829,830,831,832,833,837,
857,858,859,860,863,864,865,866,868,869,870,871,872,873,874,875,877,878,886,
887,915,916,918,919,920,961,962,963,964,968,969,972,973,982,1004,1021,1022,
1036,1040,1041,1048,1049,1051,1053],[1,2,3,4,6,7,8,9,10,11,12,14,15,16,17,18,
19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,41,43,44,45,47,48,49,
52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,
79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,99,100,101,102,103,104,105,
106,107,108,109,110,111,112,113,114,115,116,117,118,122,123,124,125,126,127,
128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,148,
149,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,183,186,187,
191,192,193,194,195,196,197,198,199,200,202,203,206,207,209,215,216,217,218,
219,220,221,222,223,224,225,226,227,230,231,232,233,234,235,236,237,238,239,
240,241,242,243,244,245,246,247,248,249,250,251,252,253,258,259,260,261,262,
263,264,265,266,267,268,271,272,273,275,276,277,278,279,280,281,282,283,284,
288,289,296,297,298,299,300,301,302,303,304,305,306,307,316,317,318,319,320,
321,322,323,324,325,326,327,328,329,331,332,333,334,335,336,337,338,339,340,
341,342,343,344,345,346,347,348,349,350,359,360,361,362,363,364,365,366,367,
368,369,370,371,372,373,374,375,376,377,378,379,380,385,386,387,388,389,390,
391,392,433,434,435,436,437,441,443,446,448,449,455,456,458,459,462,463,464,
465,466,467,468,469,470,471,477,482,483,484,485,486,487,488,489,490,491,494,
495,496,497,498,499,500,501,504,505,506,507,508,509,510,511,512,515,516,517,
518,520,521,522,523,524,525,526,527,532,533,534,535,536,537,538,539,540,541,
542,543,544,545,546,547,548,549,550,551,552,553,554,555,556,557,558,559,560,
561,562,563,577,578,579,580,581,582,583,584,587,588,593,594,603,604,605,606,
607,608,609,610,611,612,613,614,615,616,617,618,681,687,688,690,692,700,701,
703,705,707,709,712,715,716,717,720,721,722,731,732,734,735,736,737,738,739,
742,743,746,747,748,749,750,751,752,753,754,755,756,757,758,759,768,769,770,
771,784,785,836,841,842,843,844,847,848,850,855,856,857,861,875,876,877,879,
881,884,885,891,892,896,897,923,925,927,929,931,941,945,946,947,949,950,957,
958,964,965,966,974,985,987,989,991,992,1015,1027,1042,1054],[1,2,3,4,6,7,8,9,
10,11,12,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,
37,41,43,44,45,47,48,49,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,
71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,99,
100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,
122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,
141,142,143,144,145,148,149,159,160,161,162,163,164,165,166,167,168,169,170,
171,172,173,183,186,187,191,192,193,194,195,196,197,198,199,200,202,203,206,
207,209,215,216,217,218,219,220,221,222,223,224,225,226,227,230,231,232,233,
234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,
253,258,259,260,261,262,263,264,265,266,267,268,271,272,273,275,276,277,278,
279,280,281,282,283,284,288,289,296,297,298,299,300,301,302,303,304,305,306,
307,316,317,318,319,320,321,322,323,324,325,326,327,328,329,331,332,333,334,
335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,359,360,361,
362,363,364,365,366,367,368,369,370,371,372,373,374,375,376,377,378,379,380,
385,386,387,388,389,390,391,392,433,434,435,436,437,442,444,445,447,450,453,
454,458,459,462,463,464,465,466,467,468,469,470,471,477,482,483,484,485,486,
487,488,489,490,491,494,495,496,497,498,499,500,501,504,505,506,507,508,509,
510,511,512,515,516,517,518,520,521,522,523,524,525,526,527,532,533,534,535,
536,537,538,539,540,541,542,543,544,545,546,547,548,549,550,551,552,553,554,
555,556,557,558,559,560,561,562,563,577,578,579,580,581,582,583,584,587,588,
593,594,603,604,605,606,607,608,609,610,611,612,613,614,615,616,617,618,681,
687,688,689,691,699,702,704,706,708,710,711,714,716,717,720,721,722,730,732,
733,735,736,737,738,739,742,743,746,747,748,749,750,751,752,753,754,755,756,
757,758,759,768,769,770,771,784,785,835,841,842,843,844,845,846,849,855,856,
858,862,874,876,878,880,882,883,885,891,892,896,897,922,924,926,928,930,942,
943,944,948,949,950,957,958,963,965,967,974,984,986,988,990,993,1014,1026,
1042,1055],[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,
52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,
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,
179,180,181,182,183,184,185,186,187,188,189,191,192,193,194,195,196,197,198,
199,200,201,202,203,204,205,206,207,208,209,210,211,215,216,217,218,219,220,
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,
411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,426,433,434,435,
436,437,438,439,441,443,446,448,449,451,452,455,456,457,458,459,460,462,463,
464,465,466,467,468,469,470,471,472,473,474,475,476,477,478,482,483,484,485,
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,
657,658,659,660,661,662,663,664,665,666,667,681,682,683,687,688,690,692,694,
695,697,698,700,701,703,705,707,709,712,713,715,716,717,719,720,721,722,724,
725,726,727,728,731,732,734,735,736,737,738,739,740,741,742,743,744,745,746,
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,
804,805,806,807,808,809,810,811,812,813,814,815,816,817,818,819,820,836,837,
841,842,843,844,847,848,850,851,852,854,855,856,857,860,861,864,865,866,867,
869,871,872,875,876,877,879,881,884,885,887,888,889,890,891,892,893,894,895,
896,897,898,899,900,901,902,903,904,905,906,907,908,909,910,911,912,913,914,
923,925,927,929,931,936,937,938,939,940,941,945,946,947,949,950,951,955,956,
957,958,959,960,961,964,965,966,969,970,971,973,974,975,976,977,978,979,980,
985,987,989,991,992,995,997,1006,1008,1011,1012,1015,1017,1018,1019,1020,1022,
1023,1024,1027,1029,1030,1042,1044,1046,1052,1054,1056],[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,
37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,
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,
188,189,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,
208,209,210,211,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,
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,
420,421,422,423,424,425,426,433,434,435,436,437,438,439,442,444,445,447,450,
451,452,453,454,457,458,459,461,462,463,464,465,466,467,468,469,470,471,472,
473,474,475,476,477,478,482,483,484,485,486,487,488,489,490,491,492,493,494,
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,
666,667,681,682,683,687,688,689,691,693,696,697,698,699,702,704,706,708,710,
711,713,714,716,717,718,720,721,722,723,725,726,727,728,730,732,733,735,736,
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,
813,814,815,816,817,818,819,820,835,837,841,842,843,844,845,846,849,851,852,
853,855,856,858,859,862,863,865,866,867,868,870,873,874,876,878,880,882,883,
885,886,888,889,890,891,892,893,894,895,896,897,898,899,900,901,902,903,904,
905,906,907,908,909,910,911,912,913,914,922,924,926,928,930,935,937,938,939,
940,942,943,944,948,949,950,952,953,954,957,958,959,960,962,963,965,967,968,
970,971,972,974,975,976,977,978,979,980,984,986,988,990,993,994,996,1007,1009,
1010,1013,1014,1016,1018,1019,1020,1021,1023,1024,1026,1028,1031,1042,1043,
1045,1052,1055,1057],[1,2,3,4,6,7,8,9,10,11,12,14,15,16,17,18,19,20,21,22,23,
24,25,26,27,28,29,30,31,32,33,34,35,36,37,41,43,44,45,47,48,49,52,53,54,55,56,
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,
83,84,85,86,87,88,89,90,91,92,93,94,99,100,101,102,103,104,105,106,107,108,
109,110,111,112,113,114,115,116,117,118,122,123,124,125,126,127,128,129,130,
131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,148,149,159,160,
161,162,163,164,165,166,167,168,169,170,171,172,173,183,186,187,190,191,192,
193,194,195,196,197,198,199,200,202,203,206,207,209,212,214,215,216,217,218,
219,220,221,222,223,224,225,226,227,230,231,232,233,234,235,236,237,238,239,
240,241,242,243,244,245,246,247,248,249,250,251,252,253,258,259,260,261,262,
263,264,265,266,267,268,271,272,273,275,276,277,278,279,280,281,282,283,284,
288,289,296,297,298,299,300,301,302,303,304,305,306,307,316,317,318,319,320,
321,322,323,324,325,326,327,328,329,331,332,333,334,335,336,337,338,339,340,
341,342,343,344,345,346,347,348,349,350,359,360,361,362,363,364,365,366,367,
368,369,370,371,372,373,374,375,376,377,378,379,380,385,386,387,388,389,390,
391,392,427,428,429,430,431,433,434,435,436,437,440,441,442,443,444,445,446,
447,448,449,450,453,454,455,456,458,459,462,463,464,465,466,467,468,469,470,
471,477,480,482,483,484,485,486,487,488,489,490,491,494,495,496,497,498,499,
500,501,504,505,506,507,508,509,510,511,512,515,516,517,518,520,521,522,523,
524,525,526,527,532,533,534,535,536,537,538,539,540,541,542,543,544,545,546,
547,548,549,550,551,552,553,554,555,556,557,558,559,560,561,562,563,577,578,
579,580,581,582,583,584,587,588,593,594,603,604,605,606,607,608,609,610,611,
612,613,614,615,616,617,618,668,669,670,671,672,673,674,675,676,681,684,685,
687,688,689,690,691,692,699,700,701,702,703,704,705,706,707,708,709,710,711,
712,714,715,716,717,720,721,722,730,731,732,733,734,735,736,737,738,739,742,
743,746,747,748,749,750,751,752,753,754,755,756,757,758,759,768,769,770,771,
784,785,821,822,823,824,825,826,827,828,835,836,838,841,842,843,844,845,846,
847,848,849,850,855,856,857,858,861,862,874,875,876,877,878,879,880,881,882,
883,884,885,891,892,896,897,916,917,922,923,924,925,926,927,928,929,930,931,
932,933,941,942,943,944,945,946,947,948,949,950,957,958,963,964,965,966,967,
974,983,984,985,986,987,988,989,990,991,992,993,998,1000,1001,1002,1003,1004,
1005,1014,1015,1026,1027,1034,1035,1036,1037,1038,1039,1040,1042,1049,1050,
1054,1055,1058],[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]],
0,
[[1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,2,1,1],[1,2,1,1],[1,3,1],[1,
1,2,1],[1,1,2,1],[1,3,1],[1,3,1],[1,2,1,1],[1,2,1,1],[1,2,1,1],[1,2,1,1],[1,2,
1,1],[1,2,1,1],[1,2,1,1],[1,2,1,1],[1,2,1,1],[1,1,1,1,1],[1,1,1,1,1],[1,1,1,1,
1],[1,3,1],[1,3,1],[1,3,1],[1,3,1],[1,1,2,1],[1,1,2,1],[1,1,2,1],[1,1,2,1],[1,
1,1,1,1],[1,1,1,1,1],[1,2,1,1],[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],[1,1,1,1],[1,1,1,1],[1,1,1,1],[1,3,1,1],[1,3,1,1],[1,
3,1,1],[1,3,1,1],[1,1],[1,1,3,3,1,3,3,1],[1,1,3,3,1,3,3,1],[1,1,3,1,2,1,1,1,1,
1,2,1],[1,1,3,3,3,1,3,1],[1,1,3,3,3,1,3,1],[1,1,3,3,3,1,3,1],[1,1,3,3,3,1,3,
1],[1,1,3,2,1,2,1,1,1,2,1],[1,1,3,2,1,2,1,1,1,2,1],[1,1,3,1,2,1,2,1,1,2,1],[1,
1,3,1,2,1,2,1,1,2,1],[1,4,1,2,2,1,1,1,2,1],[1,4,1,2,2,1,1,1,2,1],[1,4,1,2,1,1,
1,1,1,2,1],[1,4,1,2,1,1,1,1,1,2,1],[1,4,3,1,2,1,3,1],[1,4,3,1,2,1,3,1],[1,4,3,
1,2,1,3,1],[1,4,3,1,2,1,3,1],[1,4,2,1,1,2,1,1,2,1],[1,4,2,1,1,2,1,1,2,1],[1,4,
2,1,1,1,1,1,1,2,1],[1,4,2,1,1,1,1,1,1,2,1],[1,1,3,3,1,3,3,1],[1,1,3,3,1,3,3,
1],[1,2,4,1,2,1,4,1],[1,2,4,1,2,1,4,1],[1,2,5,2,1,4,1],[1,2,5,2,1,4,1],[1,2,2,
3,1,1,1,4,1],[1,2,2,3,1,1,1,4,1],[1,2,3,2,2,1,1,1,2,1],[1,2,3,2,2,1,1,1,2,1],[
1,2,2,1,1,1,1,1,2,2,1,1],[1,4,1,1,1,2,1,1,2,1,1],[1,4,1,1,1,2,2,2,1,1],[1,4,1,
1,1,2,2,2,1,1],[1,6,1,3,1,3,1],[1,6,1,3,1,3,1],[1,4,3,1,6,1],[1,4,3,1,6,1],[1,
4,2,1,1,2,4,1],[1,4,2,1,1,2,4,1],[1,1,3,3,1,3,3,1],[1,1,3,3,1,3,3,1],[1,1,3,2,
1,1,1,2,2,1,1],[1,1,3,2,1,1,1,2,2,1,1],[1,6,1,1,2,2,2,1],[1,6,1,1,2,4,1],[1,6,
1,1,2,2,2,1],[1,6,1,1,2,4,1],[1,6,1,1,2,1,3,1],[1,6,1,1,2,1,3,1],[1,2,1,4,1,1,
1,2,2,1],[1,2,1,4,1,1,1,2,2,1],[1,2,4,1,1,1,1,2,2,1],[1,2,4,1,1,1,1,2,2,1],[1,
2,2,3,1,1,1,2,2,1],[1,2,2,3,1,1,1,2,2,1],[1,2,3,2,1,1,1,2,2,1],[1,2,3,2,1,1,1,
2,2,1],[1,2,1,2,2,1,2,1,1,2,1],[1,2,1,2,2,1,2,1,1,2,1],[1,1,4,1,1,2,1,2,2,1],[
1,2,1,2,1,1,1,1],[1,2,1,2,1,1,1,1],[1,2,3,1,1,1,1],[1,2,3,1,1,1,1],[1,4,1,1,1,
1,1],[1,5,1,1,1,1],[1,2,3,1,1,1,1],[1,2,3,1,1,1,1],[1,2,2,1,1,1,1,1],[1,2,2,1,
1,1,1,1],[1,1,4,1,1,1,1],[1,1,4,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,2,2,1,1,1,1],[
1,3,2,1,1,1,1],[1,3,2,1,1,1,1],[1,3,2,1,1,1,1],[1,3,2,1,1,1,1],[1,3,2,1,1,1,
1],[1,3,2,1,1,1,1],[1,3,2,1,1,1,1],[1,3,2,1,1,1,1],[1,5,1,1,1,1],[1,5,1,1,1,
1],[1,5,1,1,1,1],[1,5,1,1,1,1],[1,2,3,1,1,1,1],[1,2,1,2,1,1,1,1],[1,4,1,1,1,1,
1],[1,4,1,1,1,1,1],[1,2,3,1,1,1,1],[1,2,3,1,1,1,1],[1,2,2,1,1,1,1,1],[1,2,2,1,
1,1,1,1],[1,4,1,2,1,1],[1,2,2,1,1,1,1,1],[1,2,2,1,1,1,1,1],[1,2,2,1,1,1,1,1],[
1,2,2,1,1,1,1,1],[1,2,1,1,2,1],[1,2,1,1,2,1],[1,2,1,1,2,1],[1,2,1,1,2,1],[1,2,
1,1,2,1],[1,2,1,1,2,1],[1,2,1,1,1,1,1],[1,2,1,1,1,1,1],[1,1,1,1,1,2,1],[1,1,1,
1,1,2,1],[1,1,1,1,1,1,1,1],[1,1,1,1,1,2,1],[1,2,1,1,2,1],[1,2,1,1,2,1],[1,1,1,
1,1,2,1],[1,1,1,1,1,2,1],[1,1,1,1,1,2,1],[1,2,1,1,2,1],[1,2,1,1,2,1],[1,3,1,2,
1],[1,3,1,2,1],[1,1,1,1,1,2,1],[1,2,1,1,1,1,1],[1,2,1,1,1,1,1],[1,1,2,1,1,1,
1],[1,2,1,1,2,1],[1,2,1,1,2,1],[1,2,1,1,1,1,1],[1,1,1,1,1,1,1,1],[1,1,1,2,1],[
1,1,1,1],[1,4,1],[1,5,1,1],[1,5,1,1],[1,5,1,1],[1,1,1,1],[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],[1,1,6,1,3,1,2,1],[1,6,1,1,
3,1,2,1],[1,1,3,3,1,3,1,1,1,1],[1,4,3,1,3,1,1,1,1],[1,4,3,1,3,1,1,1,1],[1,1,3,
3,1,3,1,1,1,1],[1,1,3,3,1,3,1,1,1,1],[1,1,1,3,1,1],[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],[1,1,1,1],[1,1,1,1],[1,2,6,1,3,3,1,3,1,3,3,3,
6,6,6,3,1,2,6,3,3,1],[1,2,6,1,3,3,1,3,6,6,3,1,3,3,3,6,1,1,3,3,3,1,3,1],[1,2,6,
1,3,3,1,3,6,6,3,1,3,3,3,6,1,1,3,3,3,1,3,1],[1,8,1,3,3,4,1,1,4,2,4,3,1,3,3,3,6,
1,2,1,1,1,2,1,2,1,3,1],[1,8,1,3,3,4,1,1,4,2,4,3,1,3,3,3,6,1,2,1,1,1,2,1,2,1,3,
1],[1,10,5,5,10,10,10,10,5,1],[1,10,5,5,10,10,10,10,5,1],[1,10,4,1,1,2,4,8,2,
8,6,4,4,2,4,1,4,1],[1,10,4,1,1,2,4,8,2,8,6,4,4,2,4,1,4,1],[1,10,2,3,1,2,6,2,4,
3,7,1,3,6,2,4,1,1,2,1,2,2,1],[1,10,2,3,2,1,6,2,4,3,7,1,3,6,2,4,1,1,2,2,1,2,
1],[1,2,6,1,3,3,1,3,1,3,6,6,6,6,3,1,3,3,2,6,1],[1,2,6,1,3,3,1,3,1,3,6,6,6,6,3,
1,3,3,2,6,1],[1,1,8,3,3,4,1,3,3,12,12,1,2,6,6,1],[1,1,8,3,3,4,1,3,3,12,12,1,2,
6,6,1],[1,6,6,3,2,1,3,3,6,2,6,12,6,3,6,1],[1,6,6,3,2,1,3,3,6,2,6,12,6,3,6,1],[
1,6,2,7,2,3,1,2,1,4,2,2,10,8,4,2,2,1,4,2,1],[1,6,2,7,2,3,1,1,2,4,2,2,10,8,4,2,
2,1,4,2,1],[1,6,4,5,2,1,3,1,4,2,2,1,1,3,5,10,2,1,1,2,1,2,2,2,2,1],[1,6,4,5,2,
1,3,1,4,2,2,1,1,3,5,10,2,1,1,2,1,2,2,2,2,1],[1,6,6,3,1,1,4,1,2,2,4,2,8,2,8,2,
2,2,1,2,3,1,2,1],[1,6,6,3,1,1,4,1,2,2,4,2,8,2,8,2,2,2,1,2,3,1,2,1],[1,4,1,5,5,
2,2,6,1,1,2,5,4,4,8,2,1,1,2,4,1,4,1],[1,4,1,5,5,2,2,6,1,1,2,5,4,4,8,2,1,1,2,4,
1,4,1],[1,12,1,1,1,6,1,1,4,2,4,1,4,12,1,2,4,2,2,4,1],[1,12,1,1,1,6,1,1,4,2,4,
1,4,12,1,2,4,2,2,4,1],[1,1,7,1,6,1,2,1,1,6,1,1,6,2,2,8,4,1,2,2,2,2,1,2,1,2,
1],[1,1,7,1,6,1,2,1,1,6,1,1,6,2,2,8,4,1,2,2,2,2,1,2,1,2,1],[1,1,7,5,2,1,2,1,1,
2,1,4,5,2,2,2,8,4,1,2,2,2,2,1,2,1,2,1],[1,1,7,5,2,1,2,1,1,2,1,4,5,2,2,2,8,4,1,
2,2,2,2,1,2,1,2,1],[1,1,7,3,4,1,2,1,1,2,1,4,3,4,1,3,1,5,6,1,1,1,2,2,1,1,1,2,1,
2,1],[1,1,7,3,4,1,2,1,1,2,1,4,3,4,1,3,1,5,6,1,1,1,2,2,1,1,1,2,1,2,1],[1,1,7,5,
2,1,2,2,3,4,5,2,1,3,5,1,6,1,1,2,1,1,1,2,1,2,1,2,1],[1,1,7,5,2,1,2,2,3,4,5,2,1,
3,5,1,6,1,1,2,1,1,1,2,1,2,1,2,1],[1,1,7,3,4,1,1,1,1,1,4,1,2,3,4,4,2,2,8,1,2,2,
2,2,1,1,1,1,1,1,1],[1,1,7,3,4,1,1,1,1,1,4,1,2,3,4,4,2,2,8,1,2,2,2,2,1,1,1,1,1,
1,1],[1,4,1,5,5,2,1,3,1,3,2,2,5,4,4,8,1,1,1,2,2,2,2,4,1],[1,4,1,5,5,2,1,3,1,3,
2,2,5,4,4,8,1,1,1,2,2,2,2,4,1],[1,1,3,3,1,3,3,4,1,6,1],[1,1,3,3,1,3,3,4,1,6,
1],[1,1,3,3,1,3,3,4,1,2,4,1],[1,1,3,3,1,3,3,4,1,2,4,1],[1,4,1,1,1,2,1,1,2,1,4,
1,2,2,2,1],[1,4,1,1,1,2,1,1,2,1,4,1,2,2,2,1],[1,2,2,1,1,1,1,1,2,2,1,2,2,1,1,1,
2,2,1],[1,4,1,1,1,2,1,1,2,1,2,2,1,1,1,2,2,1],[1,4,1,1,1,2,1,1,2,1,2,2,1,1,1,2,
2,1],[1,1,3,1,2,1,1,1,1,1,2,4,1,2,2,2,1],[1,1,3,1,2,1,1,1,1,1,2,4,1,2,2,2,1],[
1,1,3,1,2,1,1,1,1,1,2,2,2,1,1,1,2,2,1],[1,1,3,1,2,1,1,1,1,1,2,2,2,1,1,1,2,2,
1],[1,1,3,3,1,3,3,2,2,1,2,2,1,1,1],[1,2,2,1,1,1,1,1,2,2,1,2,2,1,1,1,4,1],[1,1,
3,3,1,3,3,4,1,2,2,2,1],[1,1,3,3,1,3,3,4,1,2,2,2,1],[1,1,3,3,1,3,3,2,2,1,1,1,4,
1],[1,1,3,1,2,1,1,1,1,1,2,2,2,1,1,1,2,2,1],[1,1,3,1,2,1,1,1,1,1,2,2,2,1,1,1,2,
2,1],[1,1,4,1,1,2,1,2,2,2,2,1,1,1,2,2,1],[1,2,6,3,1,2,1,1,4,4,2,1,1,2,2,1,1],[
1,2,6,3,1,1,2,1,4,4,2,1,1,2,2,1,1],[1,2,2,7,1,2,1,1,4,4,2,1,1,2,2,1,1],[1,2,2,
7,2,1,1,1,4,4,2,1,1,2,2,1,1],[1,6,5,2,1,2,4,4,2,1,1,4,1,1],[1,6,5,2,1,2,4,4,2,
1,1,4,1,1],[1,6,4,1,2,1,2,4,4,2,1,1,4,1,1],[1,6,4,1,2,1,2,4,4,2,1,1,4,1,1],[1,
6,2,3,1,1,1,2,2,2,4,2,1,1,2,2,1,1],[1,6,2,3,1,1,1,2,2,2,4,2,1,1,2,2,1,1],[1,1,
8,1,1,4,1,4,4,2,2,4,1,1],[1,1,4,3,3,2,1,3,3,2,2,2,1,1,2,2,1,1],[1,1,4,3,3,2,1,
3,3,2,2,2,1,1,2,2,1,1],[1,10,1,1,2,2,2,4,2,2,1,1,2,2,1,1],[1,10,1,1,2,2,2,2,4,
2,1,1,2,2,1,1],[1,1,4,3,3,1,3,2,3,2,2,2,1,1,2,2,1,1],[1,4,1,4,1,1,2,2,2,2,1,2,
2,2,1,1,4,1,1],[1,4,1,4,1,1,2,2,2,2,1,2,2,2,1,1,4,1,1],[1,2,2,1,4,1,1,1,1,2,2,
2,1,2,2,2,1,1,2,2,1,1],[1,4,1,4,1,1,2,2,2,2,1,2,2,2,1,1,4,1,1],[1,4,1,4,1,1,2,
2,2,2,1,2,2,2,1,1,4,1,1],[1,8,3,1,2,2,2,2,1,3,2,1,1,2,2,1,1],[1,8,3,1,2,2,2,2,
1,3,2,1,1,2,2,1,1],[1,8,3,1,2,2,2,1,2,3,2,1,1,2,2,1,1],[1,8,3,1,2,2,2,1,2,3,2,
1,1,2,2,1,1],[1,8,2,1,1,2,2,2,1,2,1,2,2,1,1,2,2,1,1],[1,8,2,1,1,2,2,2,1,2,1,2,
2,1,1,2,2,1,1],[1,8,2,1,1,2,2,1,2,2,1,2,2,1,1,2,2,1,1],[1,8,2,1,1,2,2,1,2,2,1,
2,2,1,1,2,2,1,1],[1,8,3,1,2,2,1,3,1,3,1,1,1,1,1,1,1,1,1,1],[1,8,3,1,2,2,1,1,3,
3,1,1,1,1,1,1,1,1,1,1],[1,8,1,2,2,1,2,1,1,3,1,2,1,1,1,1,1,1,1,1,1,1],[1,8,1,2,
2,1,2,1,1,3,1,2,1,1,1,1,1,1,1,1,1,1],[1,2,4,2,3,1,1,1,4,6,2,1,1,2,2,1,1],[1,2,
4,2,3,1,1,1,4,6,2,1,1,2,2,1,1],[1,2,4,2,3,1,1,1,4,2,4,2,1,1,2,2,1,1],[1,2,4,2,
3,1,1,1,4,2,4,2,1,1,2,2,1,1],[1,2,4,4,1,2,1,4,2,4,2,1,1,2,2,1,1],[1,2,4,4,1,2,
1,4,2,4,2,1,1,2,2,1,1],[1,2,4,5,2,1,4,6,2,1,1,2,2,1,1],[1,2,4,5,2,1,4,6,2,1,1,
2,2,1,1],[1,4,4,3,2,1,2,1,4,3,2,1,1,2,2,1,1],[1,4,4,3,2,1,2,1,4,3,2,1,1,2,2,1,
1],[1,4,7,2,1,2,1,3,4,2,1,1,2,2,1,1],[1,4,7,2,1,2,1,4,3,2,1,1,2,2,1,1],[1,4,6,
1,2,1,2,1,4,1,2,2,1,1,2,2,1,1],[1,4,6,1,2,1,2,1,1,4,2,2,1,1,2,2,1,1],[1,4,2,5,
2,1,2,1,1,4,2,2,1,1,2,2,1,1],[1,4,2,5,2,1,2,1,1,4,2,2,1,1,2,2,1,1],[1,4,3,4,2,
2,1,1,1,1,1,2,2,1,1,1,1,1,1,1,1,1,1],[1,4,3,4,2,2,1,1,1,1,1,2,2,1,1,1,1,1,1,1,
1,1,1],[1,4,5,2,2,1,2,1,3,1,1,2,1,1,1,1,1,1,1,1,1,1],[1,4,5,2,2,1,2,1,1,3,1,2,
1,1,1,1,1,1,1,1,1,1],[1,4,1,3,3,2,1,3,2,2,3,2,1,1,2,2,1,1],[1,4,1,3,3,2,1,3,2,
2,3,2,1,1,2,2,1,1],[1,4,1,4,1,1,2,2,1,1,2,1,2,2,2,1,1,2,2,1,1],[1,8,1,1,1,4,2,
2,2,2,1,2,1,1,2,2,1,1],[1,1,5,5,1,1,3,3,5,2,1,1,1,1,1,1,1,1],[1,1,5,3,2,3,2,1,
1,3,1,2,2,1,1,1,1,1,1,1,1],[1,1,5,3,2,3,2,1,1,3,1,2,2,1,1,1,1,1,1,1,1],[1,1,5,
2,3,2,3,1,1,1,3,2,1,1,1,1,1,1,1,1,1,1],[1,1,5,2,3,2,3,1,1,1,3,2,1,1,1,1,1,1,1,
1,1,1],[1,1,5,5,5,1,1,3,3,1,1,1,1,1,1,1,1,1,1],[1,1,5,1,4,1,4,1,1,1,1,2,2,2,1,
1,1,1,1,1,1,1],[1,1,5,4,1,4,1,1,1,1,1,2,2,1,1,1,1,1,1,1,1,1,1],[1,1,5,5,5,1,1,
3,3,2,1,1,1,1,1,1,1,1],[1,1,5,2,3,1,1,3,1,2,2,3,1,1,1,1,1,1,1,1,1,1],[1,1,5,2,
3,1,1,1,3,2,2,3,1,1,1,1,1,1,1,1,1,1],[1,1,5,4,1,1,1,1,1,2,2,4,1,1,1,1,1,1,1,1,
1,1,1],[1,1,5,5,1,1,3,3,5,1,1,1,1,1,1,1,1,1,1],[1,4,5,2,1,1,1,1,1,2,2,2,2,1,1,
1,1,1,1,1,1,1,1],[1,4,1,6,1,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1,1,1],[1,4,3,4,1,1,
1,1,1,2,2,2,2,1,1,1,1,1,1,1,1,1,1],[1,4,3,4,1,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1,
1,1],[1,2,1,4,4,1,4,1,1,1,1,2,2,1,1,1,1,1,1,1,1,1,1],[1,10,1,5,1,1,3,3,1,1,1,
1,1,1,1,1,1,1],[1,2,4,2,3,1,1,1,2,2,2,4,2,1,1,2,2,1,1],[1,2,4,2,3,1,1,1,2,2,2,
4,2,1,1,2,2,1,1],[1,2,4,4,1,1,1,1,2,2,2,4,2,1,1,2,2,1,1],[1,2,4,4,1,1,1,1,2,2,
2,4,2,1,1,2,2,1,1],[1,6,4,1,1,1,3,8,1,1,1,1,1,1,1,1,1,1],[1,6,5,1,1,11,1,1,1,
1,1,1,1,1,1,1],[1,6,2,3,1,1,7,4,1,1,1,1,1,1,1,1,1,1],[1,6,2,3,1,1,7,4,1,1,1,1,
1,1,1,1,1,1],[1,6,1,2,2,3,2,1,3,1,1,2,1,1,1,1,1,1,1,1,1,1],[1,6,1,2,2,3,2,1,3,
1,1,2,1,1,1,1,1,1,1,1,1,1],[1,6,1,1,2,4,4,1,2,1],[1,6,1,1,2,4,4,1,2,1],[1,6,1,
1,2,4,2,2,1,1,1,1],[1,6,1,1,2,4,4,1,2,1],[1,6,1,1,2,4,4,1,2,1],[1,6,1,1,2,4,2,
2,1,1,1,1],[1,2,2,3,1,1,1,4,4,1,2,1],[1,2,2,3,1,1,1,4,4,1,2,1],[1,2,2,3,1,1,1,
4,2,2,1,1,1,1],[1,2,2,3,1,1,1,4,4,1,2,1],[1,2,2,3,1,1,1,4,4,1,2,1],[1,2,2,3,1,
1,1,4,2,2,1,1,1,1],[1,4,2,1,1,2,1,1,2,2,2,1,1,1,1],[1,4,2,1,1,2,1,1,2,2,2,1,1,
1,1],[1,4,2,1,1,2,1,1,2,2,2,1,1,1,1],[1,4,2,1,1,2,1,1,2,2,2,1,1,1,1],[1,4,3,1,
2,1,3,2,2,1,1,1,1],[1,4,3,1,2,1,3,2,2,1,1,1,1],[1,4,3,1,2,1,3,2,2,1,1,1,1],[1,
4,3,1,2,1,3,2,2,1,1,1,1],[1,2,2,3,1,1,1,4,4,1,2,1],[1,2,2,3,1,1,1,4,4,1,2,1],[
1,2,4,1,2,1,4,4,1,2,1],[1,2,4,1,2,1,4,4,1,2,1],[1,4,2,1,1,2,1,1,2,2,2,1,1,1,
1],[1,4,2,1,1,2,1,1,2,2,2,1,1,1,1],[1,4,2,1,1,2,1,1,2,2,2,1,1,1,1],[1,4,2,1,1,
2,1,1,2,2,2,1,1,1,1],[1,4,3,1,2,1,3,2,2,1,1,1,1],[1,4,3,1,2,1,3,2,2,1,1,1,1],[
1,4,3,1,2,1,3,2,2,1,1,1,1],[1,4,3,1,2,1,3,2,2,1,1,1,1],[1,4,1,1,1,2,2,2,1,2,2,
1,1,1,1],[1,4,1,1,1,2,2,2,1,2,2,1,1,1,1],[1,2,2,1,1,1,1,1,2,2,1,2,2,1,1,1,1],[
1,4,1,1,1,2,2,2,1,2,2,1,1,1,1],[1,4,1,1,1,2,2,2,1,2,2,1,1,1,1],[1,1,4,1,1,2,1,
2,2,2,2,1,1,1,1],[1,1,4,1,1,2,1,2,2,2,2,1,1,1,1],[1,1,3,3,1,3,3,2,2,1,1,1,1],[
1,1,3,3,1,3,3,2,2,1,1,1,1],[1,1,3,3,1,3,3,2,2,1,1,1,1],[1,2,2,3,1,1,1,4,4,1,2,
1],[1,2,2,3,1,1,1,4,4,1,2,1],[1,2,5,2,1,4,4,1,2,1],[1,2,5,2,1,4,4,1,2,1],[1,4,
1,1,1,2,1,1,2,1,2,2,1,1,1,1],[1,2,4,1,1,1,1,2,2,2,2,1,1,1,1],[1,2,4,1,1,1,1,2,
2,2,2,1,1,1,1],[1,2,2,3,1,1,1,2,2,2,2,1,1,1,1],[1,2,2,3,1,1,1,2,2,2,2,1,1,1,
1],[1,1,1,1,1,4,2,1,2,1],[1,1,1,1,1,4,2,1,2,1],[1,1,1,1,1,2,2,2,1,1,1,1],[1,1,
1,1,1,2,2,2,1,1,1,1],[1,1,1,1,1,2,2,2,1,1,1,1],[1,1,1,1,1,2,4,1,2,4,1],[1,2,1,
1,2,1,2,1],[1,2,1,1,2,1,2,1],[1,1,1,1,1,2,1,2,1],[1,2,5,1,1,1,1,3,1,1,1,1,1,1,
1,1],[1,2,2,3,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,2,2,3,1,1,1,1,3,1,1,1,1,1,1,1,1],[
1,2,4,1,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,2,4,1,1,2,2,2,1,2,1,1,1,1,1],[1,2,4,1,1,
2,2,2,1,2,1,1,1,1,1],[1,1,4,4,1,1],[1,1,4,4,1,1],[1,9,4,12,1,1],[1,9,4,12,1,
1],[1,9,4,12,1,1],[1,3,4,3,1,1,1],[1,2,1,1,1,1,2,1],[1,10,1,5,1,2,1,1],[1,1,5,
5,5,1,1,1,1,1],[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],[1,7,1,1],[1,9,4,3,1,3,4,3,1,1],[1,9,4,1,3,3,4,3,1,1],[1,6,3,4,1,3,3,
4,3,1,1],[1,6,3,4,1,3,3,4,3,1,1],[1,6,3,4,1,3,3,4,3,1,1],[1,6,3,4,1,3,3,4,3,1,
1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,
3,6,4,1,3,3,4,3,1,1],[1,6,3,4,1,3,3,4,3,1,1],[1,6,3,4,1,3,3,4,3,1,1],[1,9,4,1,
3,3,4,3,1,1],[1,9,4,1,3,3,4,3,1,1],[1,9,4,1,3,3,4,3,1,1],[1,9,4,3,1,3,4,3,1,
1],[1,6,3,4,1,3,3,4,3,1,1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,1,3,3,4,1,3,3,4,1,1,
1],[1,4,3,4,1,6,4,1,1,1],[1,4,3,4,1,6,4,1,1,1],[1,6,1,4,3,1,3,4,1,1,1],[1,6,1,
4,3,1,3,4,1,1,1],[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,
4,3,1,3,4,1,1,1],[1,1,3,3,4,3,1,3,4,1,1,1],[1,1,3,3,4,3,1,3,4,1,1,1],[1,1,3,3,
4,3,1,3,4,1,1,1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,2,1,6,
1,1,3,3,1,2,2,3,1,1,1,1],[1,6,1,2,1,3,1,3,1,2,2,3,1,1,1,1],[1,2,1,2,1,1,1,1,1,
2,2,1,1,1,1,1],[1,6,1,6,1,3,3,1,1,2,2,3,1,1,1,1],[1,1,8,3,3,1,4,3,6,6,1,2,2,1,
1,3,1,1,2,2,1,1],[1,2,6,1,3,3,1,1,3,6,6,3,1,2,1,1,2,3,1,1,2,2,1,1],[1,1,3,3,1,
3,4,1,1,1,3,1,1,1,1],[1,1,2,1,1,1,2,1],[1,2,1,1,1,1,2,1],[1,1,1,1,1,1],[1,20,
1,5,5,10,5,5,20,10,20,5,10,30,10,10,20,10,20,10,10,10,20,5,10,10,10,10,20,10,
10,1,5,10,5,1],[1,20,1,5,5,10,5,5,20,10,20,5,10,30,10,10,20,10,20,10,10,10,20,
5,10,10,10,10,20,10,10,1,5,10,5,1],[1,12,1,9,9,6,2,6,4,12,3,3,12,6,12,9,2,6,
18,18,36,2,6,12,6,6,6,12,4,3,3,6,12,3,6,2,12,12,12,12,18,6,1,3,6,6,3,6,1],[1,
12,1,9,9,6,2,6,4,12,3,3,12,6,12,9,2,6,18,18,36,2,6,12,6,6,6,12,4,3,3,6,12,3,6,
2,12,12,12,12,18,6,1,3,6,6,3,6,1],[1,1,15,5,10,5,5,5,5,5,20,5,10,5,10,5,15,5,
25,30,5,5,5,10,10,20,15,5,10,5,5,5,5,5,5,5,5,15,10,5,1,5,5,5,5,5,5,1],[1,1,15,
5,10,5,5,5,5,5,20,5,10,5,10,5,15,5,25,30,5,5,5,10,10,20,15,5,10,5,5,5,5,5,5,5,
5,15,10,5,1,5,5,5,5,5,5,1],[1,1,15,9,6,2,3,1,9,3,3,12,9,18,9,6,5,15,21,9,30,2,
3,4,1,9,6,6,12,12,3,9,18,3,3,9,1,9,3,3,9,3,12,6,9,3,3,1,3,6,3,3,6,3,1],[1,1,
15,9,6,2,3,1,9,3,3,12,9,18,9,6,5,15,21,9,30,2,3,4,1,9,6,6,12,12,3,9,18,3,3,9,
1,9,3,3,9,3,12,6,9,3,3,1,3,6,3,3,6,3,1],[1,2,14,1,7,7,1,7,1,3,2,6,3,3,12,6,12,
14,14,7,4,12,12,12,24,1,2,6,4,4,12,12,4,8,4,4,4,8,2,1,1,2,4,7,3,6,4,4,12,2,2,
4,4,4,4,4,12,1,4,4,2,1,1,2,2,4,4,4,2,1],[1,2,14,1,7,7,1,7,1,3,2,6,3,3,12,6,12,
14,14,7,4,12,12,12,24,1,2,6,4,4,12,12,4,8,4,4,4,8,2,1,1,2,4,7,3,6,4,4,12,2,2,
4,4,4,4,4,12,1,4,4,2,1,1,2,2,4,4,4,2,1],[1,2,6,1,8,3,3,1,3,4,1,3,6,6,6,6,3,12,
12,4,1,3,3,2,6,2,6,6,4,12,6,1,1,1,6,6,1],[1,2,6,1,8,3,3,1,3,4,1,3,6,6,6,6,3,
12,12,4,1,3,3,2,6,2,6,6,4,12,6,1,1,1,6,6,1],[1,12,1,5,5,6,2,6,1,1,4,2,4,5,4,
12,4,4,8,4,2,1,1,2,4,1,2,4,2,2,4,4,8,8,2,2,2,1,1,1,2,2,4,4,1],[1,12,1,5,5,6,2,
6,1,1,4,2,4,5,4,12,4,4,8,4,2,1,1,2,4,1,2,4,2,2,4,4,8,8,2,2,2,1,1,1,2,2,4,4,
1],[1,20,1,1,1,10,1,1,4,4,2,4,4,1,4,4,12,12,4,1,2,2,4,4,2,2,2,2,4,4,8,8,2,2,2,
1,1,1,4,4,4,1],[1,1,11,3,8,1,1,2,1,1,1,6,4,1,2,3,8,2,4,2,2,2,8,4,8,2,2,1,2,2,
2,2,2,2,2,2,1,1,1,2,1,1,1,2,1,1,2,2,4,2,2,2,2,1,1,2,2,1,1,1,1,1,1,1,2,2,2,2,
1],[1,1,11,3,8,1,2,1,1,1,1,4,6,1,2,3,8,2,2,4,2,8,2,8,4,2,2,1,2,2,2,2,2,2,2,2,
1,1,2,1,1,1,1,1,2,1,2,2,2,4,2,2,2,1,1,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,11,7,
4,1,1,1,2,1,1,4,2,1,2,4,7,4,2,2,4,8,2,2,8,4,2,2,1,2,2,2,2,2,2,2,2,1,1,1,2,1,1,
1,1,1,2,2,2,2,2,4,2,2,1,1,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,11,7,4,1,1,2,1,1,
1,2,4,1,4,2,7,4,2,4,2,2,8,2,4,8,2,2,1,2,2,2,2,2,2,2,2,1,1,1,1,2,1,1,1,2,1,2,2,
2,4,2,2,2,1,1,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,4,1,9,9,2,2,2,6,6,1,1,2,9,4,4,4,
4,8,8,4,2,2,1,1,1,1,2,2,4,4,1,4,4,4,4,4,4,2,2,2,1,1,1,2,2,2,2,4,1],[1,4,1,8,5,
5,2,4,2,6,1,1,2,5,4,4,8,12,12,4,2,1,1,2,4,1,2,6,4,6,4,4,4,4,2,2,2,1,1,1,2,2,2,
2,2,2,1],[1,4,1,8,5,5,2,4,2,6,1,1,2,5,4,4,8,12,12,4,2,1,1,2,4,1,2,6,4,6,4,4,4,
4,2,2,2,1,1,1,2,2,2,2,2,2,1],[1,1,11,5,6,1,2,2,1,1,2,6,1,4,5,6,2,2,2,2,8,8,4,
4,4,1,2,2,2,2,2,2,2,2,1,1,2,2,1,1,2,2,4,4,4,4,2,2,2,1,1,1,2,2,2,2,4,1],[1,1,
11,5,6,1,2,2,1,1,6,2,1,4,5,6,2,2,2,2,8,8,4,4,4,1,2,2,2,2,2,2,2,2,1,1,2,2,1,1,
2,2,4,4,4,4,2,2,2,1,1,1,2,2,2,2,4,1],[1,1,11,1,10,1,2,2,1,1,6,6,1,1,10,2,2,2,
2,8,8,4,4,4,1,2,2,2,2,2,2,2,2,1,1,2,2,1,1,2,2,4,4,4,4,2,2,2,1,1,1,2,2,2,2,4,
1],[1,1,11,9,2,1,2,2,1,1,2,2,1,4,4,9,2,2,2,2,2,8,8,4,4,4,1,2,2,2,2,2,2,2,2,1,
1,2,2,1,1,2,2,4,4,4,4,2,2,2,1,1,1,2,2,2,2,4,1],[1,1,11,3,8,1,2,2,1,1,6,2,1,4,
3,8,1,2,3,2,1,5,8,4,6,2,2,1,2,1,1,2,2,2,2,2,1,1,1,1,2,2,1,1,2,2,2,2,2,2,2,2,2,
2,1,1,2,2,1,1,1,1,1,2,1,1,2,2,2,1],[1,1,11,3,8,1,2,2,1,1,2,6,1,4,3,8,2,1,2,3,
1,8,5,6,4,2,2,1,1,2,1,2,2,2,2,1,2,1,1,1,2,2,1,1,2,2,2,2,2,2,2,2,2,2,1,1,2,2,1,
1,1,1,1,2,1,1,2,2,2,1],[1,1,11,7,4,1,2,2,1,1,2,2,1,4,4,7,4,1,2,3,2,1,8,5,4,6,
2,2,1,2,1,2,1,2,2,2,1,1,2,1,1,2,2,1,1,2,2,2,2,2,2,2,2,2,2,1,1,2,2,1,1,1,1,1,2,
1,1,2,2,2,1],[1,1,11,7,4,1,2,2,1,1,2,2,1,4,4,7,4,2,1,2,3,8,1,5,6,4,2,2,1,2,1,
1,2,2,2,2,1,2,1,1,1,2,2,1,1,2,2,2,2,2,2,2,2,2,2,1,1,2,2,1,1,1,1,1,2,1,1,2,2,2,
1],[1,1,11,7,4,1,2,2,2,2,3,4,4,7,4,1,1,3,3,5,5,1,1,6,6,2,2,1,1,1,2,2,1,1,1,1,
1,1,2,2,1,1,2,2,1,1,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1],[1,4,1,8,5,5,2,1,3,4,1,3,2,2,5,4,4,8,12,12,4,1,1,1,2,6,2,2,
2,2,4,6,4,4,8,2,4,1,1,1,2,2,4,4,1],[1,4,1,8,5,5,2,1,3,4,1,3,2,2,5,4,4,8,12,12,
4,1,1,1,2,6,2,2,2,2,4,6,4,4,8,2,4,1,1,1,2,2,4,4,1],[1,16,1,3,3,8,1,1,4,4,2,4,
4,3,4,1,12,3,3,3,6,2,2,1,2,1,1,1,2,1,2,2,4,1,2,2,4,3,2,2,2,2,2,2,2,2,1,1,2,2,
1,1,1,1,1,1,1,2,2,2,2,1],[1,16,1,3,3,8,1,1,4,4,2,4,4,3,1,4,3,12,3,3,6,2,2,1,2,
1,1,1,2,1,2,2,1,4,2,2,4,3,2,2,2,2,2,2,2,2,1,1,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,
8,1,7,7,4,2,6,1,1,4,2,4,7,1,3,4,3,4,3,6,8,2,2,1,2,1,1,1,2,2,1,1,2,4,1,2,1,3,4,
2,2,2,2,2,2,2,2,1,1,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,8,1,7,7,4,2,6,1,1,4,2,4,7,
1,3,3,4,3,4,8,6,2,2,1,2,1,1,1,2,2,1,1,2,4,1,2,1,4,3,2,2,2,2,2,2,2,2,1,1,2,2,1,
1,1,1,1,1,1,2,2,2,2,1],[1,1,12,5,5,6,1,1,3,3,5,22,22,2,2,1,1,2,2,6,6,11,1,1,1,
1,2,2,2,2,4,1,1,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,2,10,1,5,5,1,5,1,1,3,3,6,6,6,
6,10,10,5,2,2,1,1,5,3,3,2,2,6,6,1,1,1,1,2,2,2,2,2,2,1,1,4,1,1,1,1,1,1,1,2,2,2,
2,1],[1,8,1,7,7,4,1,3,1,1,3,3,2,2,2,2,7,4,4,4,4,8,8,2,2,1,1,1,1,1,2,2,2,2,2,2,
2,2,4,4,1,1,1,1,2,2,2,2,2,2,1,1,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,2,10,1,5,5,1,5,
10,10,5,1,1,3,3,3,3,3,3,6,6,2,2,1,1,1,1,3,3,3,3,5,1,1,3,3,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,2,6,1,3,3,1,3,1,3,3,3,
6,6,6,3,4,4,1,2,6,3,3,2,2,2,2,2,2,8,8,1,1,1,2,2,4,4,1],[1,2,6,1,3,3,1,3,1,3,3,
3,6,6,6,3,4,4,1,2,6,3,3,2,2,2,2,4,4,2,2,4,4,1,2,2,2,1,1,2,2,2,1],[1,1,3,3,1,3,
3,6,6,1,3,3,12,3,1],[1,1,3,3,1,3,3,6,6,1,6,6,3,3,3,1],[1,2,2,1,1,1,1,1,2,2,1,
2,2,4,4,1,2,2,4,1,1,4,4,2,1,1],[1,6,4,6,3,2,1,3,3,6,2,6,12,6,6,6,3,1,6,6,6,3,
1,3,3,1],[1,6,4,6,3,2,1,3,3,6,2,6,12,6,6,6,3,1,6,6,6,3,1,3,3,1],[1,6,4,2,7,2,
3,1,1,2,4,2,2,10,8,6,6,4,2,2,1,1,4,2,4,2,4,2,3,1,1,2,1,2,1],[1,6,4,2,7,2,3,1,
2,1,4,2,2,10,8,6,6,4,2,2,1,1,4,2,4,2,2,4,3,1,1,2,1,2,1],[1,6,2,11,2,3,2,1,1,2,
4,2,2,10,4,8,2,4,4,2,2,1,1,4,2,2,2,4,4,2,1,1,1,2,1,2,1],[1,6,2,11,2,2,3,1,2,1,
4,2,2,4,10,8,2,4,4,2,1,2,1,4,2,2,2,4,4,2,1,1,1,2,1,2,1],[1,6,10,3,2,1,2,3,3,6,
2,6,4,12,2,4,6,1,3,6,2,2,4,4,2,1,1,1,2,1,2,1],[1,6,10,3,2,1,3,2,3,6,2,4,6,12,
2,4,6,1,3,6,2,2,4,4,2,1,1,1,2,1,2,1],[1,6,6,7,2,1,2,3,3,6,2,6,4,12,2,4,6,1,3,
6,2,2,4,4,2,1,1,1,2,1,2,1],[1,6,6,7,2,2,1,3,3,6,2,6,4,12,2,4,6,1,3,6,2,2,4,4,
2,1,1,1,2,1,2,1],[1,6,6,7,2,3,1,2,2,1,4,2,2,4,10,8,2,4,4,2,1,2,1,4,2,2,2,4,4,
2,1,1,1,2,1,2,1],[1,6,6,7,2,3,2,1,1,2,4,2,2,4,10,8,2,4,4,2,1,2,1,4,2,2,2,4,4,
2,1,1,1,2,1,2,1],[1,6,8,5,2,1,3,2,1,4,2,2,1,1,4,3,5,10,2,2,2,2,1,1,2,1,1,2,2,
2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1],[1,6,8,5,2,1,2,3,1,4,2,2,1,1,3,4,5,10,
2,2,2,2,1,1,2,1,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1],[1,6,4,9,2,1,2,3,
1,4,2,2,1,1,3,5,4,10,2,2,2,2,1,1,2,1,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,
1,1],[1,6,4,9,2,2,1,3,1,4,2,2,1,1,3,4,5,10,2,2,2,2,1,1,2,1,1,2,2,2,2,2,2,2,2,
2,2,1,1,1,1,1,1,1,1,1,1,1],[1,10,9,2,5,10,10,4,10,2,4,10,1,5,4,4,4,1,2,1,1,2,
1,2,1],[1,10,9,2,5,10,10,10,4,2,4,10,1,5,4,4,4,1,2,1,1,2,1,2,1],[1,10,4,5,2,5,
10,10,4,10,2,4,10,1,5,4,4,4,1,2,1,1,2,1,2,1],[1,10,4,5,2,5,10,10,4,10,2,4,10,
1,5,4,4,4,1,2,1,1,2,1,2,1],[1,10,8,1,2,1,2,4,8,2,8,6,4,4,2,4,4,2,4,1,1,4,4,4,
4,1,2,1,1,2,1,2,1],[1,10,8,1,2,1,2,4,8,2,8,4,6,4,2,4,4,2,4,1,1,4,4,4,4,1,2,1,
1,2,1,2,1],[1,10,4,5,2,1,2,4,8,2,8,6,4,4,2,4,4,2,4,1,1,4,4,4,4,1,2,1,1,2,1,2,
1],[1,10,4,5,2,1,2,4,8,2,8,6,4,4,2,4,4,2,4,1,1,4,4,4,4,1,2,1,1,2,1,2,1],[1,10,
6,3,2,2,1,6,2,4,3,7,4,1,3,6,2,2,2,2,4,1,1,2,1,2,1,2,4,2,2,2,2,1,1,1,1,1,1,1,1,
1,1,1],[1,10,6,3,2,1,2,6,2,4,3,7,1,4,3,6,2,2,2,2,4,1,1,2,1,1,2,2,4,2,2,2,2,1,
1,1,1,1,1,1,1,1,1,1],[1,10,2,7,2,2,1,6,2,4,3,7,1,4,3,6,2,2,2,2,4,1,1,2,1,2,1,
2,4,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1],[1,10,2,7,2,1,2,6,2,4,3,7,1,3,4,6,2,2,2,2,
4,1,1,2,1,1,2,2,4,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1],[1,10,2,7,2,3,1,2,1,4,2,2,2,
2,2,10,8,2,2,2,4,2,2,1,1,4,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1],[1,10,2,7,2,3,
1,1,2,2,4,2,2,2,2,10,8,2,2,2,4,2,2,1,1,4,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,
1],[1,10,6,3,2,1,3,3,2,6,2,2,2,6,12,2,2,2,6,3,1,6,2,2,2,2,2,2,1,1,1,1,1,1,1,1,
1,1,1],[1,10,6,3,2,1,3,3,2,6,2,2,2,6,12,2,2,2,6,3,1,6,2,2,2,2,2,2,1,1,1,1,1,1,
1,1,1,1,1],[1,10,4,5,2,1,3,1,4,2,2,2,2,1,2,1,3,5,10,2,4,2,1,1,2,1,2,1,2,2,2,2,
2,2,2,2,2,1,2,1,1,1,1,1,1,1,1],[1,10,4,5,2,1,3,1,4,2,2,2,2,1,2,1,3,5,10,2,4,2,
1,1,2,1,2,1,2,2,2,2,2,2,2,2,2,1,2,1,1,1,1,1,1,1,1],[1,10,4,5,2,1,3,1,2,4,2,2,
1,2,1,2,3,5,10,2,4,2,1,1,2,1,2,1,2,2,2,2,2,2,2,2,2,1,2,1,1,1,1,1,1,1,1],[1,10,
4,5,2,1,3,1,2,4,2,2,1,2,1,2,3,5,10,2,4,2,1,1,2,1,2,1,2,2,2,2,2,2,2,2,2,1,2,1,
1,1,1,1,1,1,1],[1,2,6,1,4,3,3,1,3,2,1,3,6,6,6,6,3,2,2,2,2,2,1,3,3,2,6,1,2,2,2,
2,4,1,1,1,1,1,1,1,1,1,1,1],[1,2,6,1,4,3,3,1,3,2,1,3,6,6,6,6,3,2,2,2,2,2,1,3,3,
2,6,1,2,2,2,2,4,1,1,1,1,1,1,1,1,1,1,1],[1,6,4,6,3,2,1,3,3,6,2,6,12,2,4,4,2,6,
3,1,6,4,2,2,4,1,2,1,1,2,1,2,1],[1,6,4,6,3,2,1,3,3,6,2,6,12,2,4,4,2,6,3,1,6,4,
2,2,4,1,2,1,1,2,1,2,1],[1,6,4,2,7,2,3,1,1,2,4,2,2,10,8,2,4,4,2,4,2,2,1,1,4,2,
4,2,2,4,1,2,1,1,2,1,2,1],[1,6,4,2,7,2,3,1,2,1,4,2,2,10,8,2,4,4,2,4,2,2,1,1,4,
2,4,2,2,4,1,2,1,1,2,1,2,1],[1,6,4,6,3,1,1,4,1,2,2,4,2,8,2,8,2,4,4,2,2,2,2,1,2,
1,3,1,2,2,2,2,2,4,1,2,1,1,1,1,1,1,1,1],[1,6,4,6,3,1,1,4,1,2,2,4,2,8,2,8,2,4,4,
2,2,2,2,1,2,1,3,1,2,2,2,2,2,4,1,2,1,1,1,1,1,1,1,1],[1,12,1,4,1,1,6,2,1,1,4,2,
4,1,4,12,2,2,2,2,2,1,2,4,2,2,4,1,4,2,2,4,1,1,1,1,1,1,1,1,1,1,1],[1,12,1,4,1,1,
6,2,1,1,4,2,4,1,4,12,2,2,2,2,2,1,2,4,2,2,4,1,4,2,2,4,1,1,1,1,1,1,1,1,1,1,1],[
1,2,6,1,4,3,3,1,3,1,3,2,3,3,6,6,6,3,2,2,2,2,2,1,2,6,3,3,1,2,2,2,2,2,2,1,1,1,1,
1,1,1,1,1,1,1],[1,4,1,8,3,3,2,4,1,3,2,2,3,12,12,2,2,2,1,1,2,6,6,4,2,2,4,1,1,1,
1,1,1,1,1,1,1,1],[1,4,1,8,3,3,2,4,1,3,2,2,3,12,12,2,2,2,1,1,2,6,6,4,2,2,4,1,1,
1,1,1,1,1,1,1,1,1],[1,14,2,3,2,1,6,2,2,4,2,3,2,7,1,3,6,2,4,2,4,1,1,2,2,1,1,2,
2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1],[1,14,2,3,2,1,6,2,2,4,2,3,2,7,1,3,6,2,4,2,4,
1,1,2,2,1,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1],[1,14,2,3,1,2,2,6,2,4,3,2,7,2,
1,3,6,2,4,2,4,1,1,2,1,1,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1],[1,14,2,3,1,2,2,
6,2,4,3,2,7,2,1,3,6,2,4,2,4,1,1,2,1,1,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1],[1,
14,4,1,1,2,2,4,8,2,2,2,8,6,4,2,2,2,4,2,4,1,1,4,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,
1,1],[1,14,4,1,1,2,2,4,8,2,2,8,2,6,4,2,2,2,4,2,4,1,1,4,2,2,2,2,2,2,1,1,1,1,1,
1,1,1,1,1,1],[1,14,5,5,10,2,2,2,10,10,2,2,2,10,1,5,2,2,2,2,2,2,1,1,1,1,1,1,1,
1,1,1,1],[1,14,5,5,2,10,2,10,2,10,2,2,2,10,1,5,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,
1,1],[1,4,1,4,5,5,2,1,3,2,1,3,2,2,5,4,4,8,2,2,2,2,2,1,1,1,2,2,2,2,4,1,4,2,2,2,
2,1,1,1,1,1,1,1,1,1,1,1],[1,4,1,4,5,5,2,1,3,2,1,3,2,2,5,4,4,8,2,2,2,2,2,1,1,1,
2,2,2,2,4,1,4,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1],[1,4,1,5,5,2,2,6,1,1,2,5,4,4,8,4,
4,2,1,1,2,4,1,4,2,2,4,4,1,2,1,1,2,1],[1,4,1,5,5,2,2,6,1,1,2,5,4,4,8,4,4,2,1,1,
2,4,1,4,2,2,4,4,1,2,1,1,2,1],[1,4,1,5,5,2,2,6,1,1,2,5,4,4,8,8,2,1,1,2,4,1,4,4,
8,1,2,2,2,1],[1,4,1,5,5,2,2,6,1,1,2,5,4,4,8,8,2,1,1,2,4,1,4,4,8,1,2,2,2,1],[1,
4,1,5,5,2,2,6,1,1,2,5,4,4,8,4,4,2,1,1,2,4,1,4,2,6,4,1,1,1,2,2,1],[1,4,1,5,5,2,
2,6,1,1,2,5,4,4,8,4,4,2,1,1,2,4,1,4,2,6,4,1,1,1,2,2,1],[1,8,1,3,3,4,1,1,4,2,4,
3,1,3,3,3,6,4,2,2,1,2,1,1,1,2,1,2,1,3,1,1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,8,1,3,
3,4,1,1,4,2,4,3,1,3,3,3,6,4,2,2,1,2,1,1,1,2,1,2,1,3,1,1,2,2,2,2,2,1,1,1,1,1,1,
1,1],[1,4,1,5,5,2,1,3,1,3,2,2,5,4,4,8,4,4,1,1,1,2,2,2,2,4,6,2,2,2,1,1,1,2,2,
1],[1,4,1,5,5,2,1,3,1,3,2,2,5,4,4,8,4,4,1,1,1,2,2,2,2,4,6,2,2,2,1,1,1,2,2,1],[
1,4,1,5,5,2,1,3,1,3,2,2,5,4,4,8,4,4,1,1,1,2,2,2,2,4,2,2,2,2,4,1,1,1,2,2,1],[1,
4,1,5,5,2,1,3,1,3,2,2,5,4,4,8,4,4,1,1,1,2,2,2,2,4,2,2,2,2,4,1,1,1,2,2,1],[1,4,
1,5,5,2,2,6,1,1,2,5,4,4,8,8,2,1,1,2,4,1,4,4,4,4,1,2,2,2,1],[1,4,1,5,5,2,2,6,1,
1,2,5,4,4,8,8,2,1,1,2,4,1,4,4,4,4,1,2,2,2,1],[1,2,6,1,3,3,1,3,1,3,6,6,6,6,3,4,
4,1,3,3,2,6,2,2,2,2,4,1,1,1,2,2,1],[1,2,6,1,3,3,1,3,1,3,6,6,6,6,3,4,4,1,3,3,2,
6,2,2,2,2,4,1,1,1,2,2,1],[1,12,1,1,1,6,1,1,4,2,4,1,4,12,4,4,1,2,4,2,2,4,2,2,4,
4,1,2,1,1,2,1],[1,12,1,1,1,6,1,1,4,2,4,1,4,12,4,4,1,2,4,2,2,4,2,2,4,4,1,2,1,1,
2,1],[1,1,7,3,4,1,1,1,1,1,4,1,2,3,4,4,2,2,8,2,6,1,2,2,2,2,1,1,1,1,1,1,3,1,2,2,
2,2,1,1,1,1,1,1,1,1],[1,1,7,3,4,1,1,1,1,1,4,1,2,3,4,4,2,2,8,6,2,1,2,2,2,2,1,1,
1,1,1,1,1,3,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,7,3,4,1,1,1,1,1,4,1,2,3,4,4,2,2,8,6,
2,1,2,2,2,2,1,1,1,1,1,1,2,1,3,2,2,2,1,1,1,1,1,1,1,1],[1,1,7,3,4,1,1,1,1,1,4,1,
2,3,4,4,2,2,8,2,6,1,2,2,2,2,1,1,1,1,1,1,2,3,1,2,2,2,1,1,1,1,1,1,1,1],[1,8,1,3,
3,4,1,1,4,2,4,3,1,3,3,3,6,4,2,2,1,2,1,1,1,2,1,2,1,3,2,2,1,1,2,2,2,1,1,1,1,1,1,
1,1],[1,8,1,3,3,4,1,1,4,2,4,3,1,3,3,3,6,4,2,2,1,2,1,1,1,2,1,2,1,3,2,2,1,1,2,2,
2,1,1,1,1,1,1,1,1],[1,1,7,3,4,1,2,1,1,2,1,4,3,4,1,3,1,5,6,2,2,4,1,1,1,2,2,1,1,
1,2,1,2,1,2,2,2,1,2,2,1,1,1,1,1,1,1,1],[1,1,7,3,4,1,2,1,1,2,1,4,3,4,1,3,1,5,6,
2,2,4,1,1,1,2,2,1,1,1,2,1,2,1,2,2,2,1,2,2,1,1,1,1,1,1,1,1],[1,1,7,3,4,1,2,1,1,
2,1,4,3,4,1,3,1,5,6,2,2,4,1,1,1,2,2,1,1,1,2,1,2,1,2,2,2,1,2,2,1,1,1,1,1,1,1,
1],[1,1,7,3,4,1,2,1,1,2,1,4,3,4,1,3,1,5,6,2,2,4,1,1,1,2,2,1,1,1,2,1,2,1,2,2,2,
1,2,2,1,1,1,1,1,1,1,1],[1,1,7,1,6,1,2,1,1,6,1,1,6,2,2,8,4,2,2,2,2,1,2,2,2,2,1,
2,1,2,1,1,1,2,2,1,2,2,1,1,1,1,1,1,1,1],[1,1,7,1,6,1,2,1,1,6,1,1,6,2,2,8,4,2,2,
2,2,1,2,2,2,2,1,2,1,2,1,1,1,2,2,1,2,2,1,1,1,1,1,1,1,1],[1,1,7,5,2,1,2,1,1,2,1,
4,5,2,2,2,8,4,2,2,2,2,1,2,2,2,2,1,2,1,2,1,1,1,2,2,1,2,2,1,1,1,1,1,1,1,1],[1,1,
7,5,2,1,2,1,1,2,1,4,5,2,2,2,8,4,2,2,2,2,1,2,2,2,2,1,2,1,2,1,1,1,2,2,1,2,2,1,1,
1,1,1,1,1,1],[1,4,1,1,1,2,1,1,2,1,4,4,4,1,2,2,2,2,2,1,2,1,1,2,1],[1,1,8,3,3,1,
3,4,3,4,4,2,4,2,1,2,4,4,4,1,1,2,4,1,1,2,2,1,1],[1,2,2,1,8,1,1,1,1,4,2,2,1,4,4,
4,2,2,1,2,4,4,4,1,1,2,4,1,1,2,2,1,1],[1,8,1,4,1,1,4,2,2,2,2,2,1,2,2,4,2,2,1,1,
1,8,2,2,1,2,1,2,2,1,1,1,1,1,1,1,1],[1,8,1,4,1,1,4,2,2,2,2,2,1,2,2,4,2,2,1,1,1,
2,2,4,4,1,2,1,2,2,1,1,1,1,1,1,1,1],[1,4,1,4,3,3,2,2,1,3,2,2,3,2,2,4,2,2,1,1,1,
4,2,2,2,2,1,6,1,1,1,1,1,1,1,1,1],[1,4,1,4,3,3,2,2,1,3,2,2,3,2,2,4,2,2,1,1,1,4,
2,2,2,2,1,6,1,1,1,1,1,1,1,1,1],[1,4,1,4,3,3,2,2,1,3,2,2,3,2,2,2,4,2,1,1,1,2,2,
2,2,4,1,2,1,4,1,1,1,1,1,1,1,1],[1,4,1,4,3,3,2,2,1,3,2,2,3,2,2,2,4,2,1,1,1,2,2,
2,2,4,1,2,1,4,1,1,1,1,1,1,1,1],[1,1,3,3,1,3,3,4,2,2,4,1,1,1,2,2,4,4,1,2,1,2,1,
1],[1,2,2,1,1,1,1,1,2,2,1,2,4,2,4,1,1,1,2,2,4,4,1,2,1,2,1,1],[1,4,1,8,1,1,2,4,
1,1,2,1,4,4,4,4,1,2,4,4,4,2,2,2,2,4,4,4,1,2,1,2,1,4,4,1],[1,1,4,5,5,2,1,1,3,3,
5,2,2,2,6,1,1,1,1,1,1,1,2,2,2,2,1,2,2,2,2,3,2,2,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,
1,5,5,1,1,3,3,5,6,2,2,1,1,1,1,1,1,1,1,11,1,1,1,1,1,1,1,1],[1,1,5,5,1,1,3,3,5,
2,6,2,1,1,1,1,1,1,1,3,1,4,4,1,1,1,1,1,1,1,1],[1,2,2,1,4,1,1,1,1,2,2,2,1,2,2,2,
2,2,2,2,1,1,2,2,1,1,1,1,1,2,2,4,1,1,1,1,1,1,1,1],[1,1,4,3,3,1,3,2,3,2,2,2,2,2,
2,2,1,1,2,2,1,1,1,1,1,2,2,4,1,1,1,1,1,1,1,1],[1,2,4,2,3,1,1,1,4,2,4,4,6,1,1,2,
2,2,1,2,1,1,1,1],[1,2,4,2,3,1,1,1,4,2,4,4,6,1,1,2,2,2,1,2,1,1,1,1],[1,2,4,2,3,
1,1,1,4,2,4,4,6,1,1,2,2,2,1,2,1,1,1,1],[1,2,4,2,3,1,1,1,4,2,4,4,6,1,1,2,2,2,1,
2,1,1,1,1],[1,2,4,2,3,1,1,1,4,6,4,4,2,1,1,2,2,2,1,2,1,1,1,1],[1,2,4,2,3,1,1,1,
4,6,4,4,2,1,1,2,2,2,1,2,1,1,1,1],[1,2,4,2,3,1,1,1,4,6,4,4,2,1,1,2,2,2,1,2,1,1,
1,1],[1,2,4,2,3,1,1,1,4,6,4,4,2,1,1,2,2,2,1,2,1,1,1,1],[1,2,6,3,1,1,2,1,4,4,4,
2,4,1,1,2,2,1,2,2,1,1,1,1],[1,2,6,3,1,2,1,1,4,4,4,2,4,1,1,2,2,1,2,2,1,1,1,1],[
1,2,2,7,2,1,1,1,4,4,4,2,4,1,1,2,2,1,2,2,1,1,1,1],[1,2,2,7,1,2,1,1,4,4,4,2,4,1,
1,2,2,1,2,2,1,1,1,1],[1,6,4,1,2,1,2,4,4,2,8,1,1,4,1,4,1,2,1],[1,6,4,1,2,1,2,4,
4,2,8,1,1,4,1,4,1,2,1],[1,6,5,2,1,2,4,4,2,8,1,1,4,1,4,1,2,1],[1,6,5,2,1,2,4,4,
2,8,1,1,4,1,4,1,2,1],[1,4,1,3,3,2,1,3,2,2,3,2,2,2,4,1,1,2,2,1,1,1,2,2,2,1,1,1,
1,1,1,1,1],[1,4,1,3,3,2,1,3,2,2,3,2,2,2,4,1,1,2,2,1,1,1,2,2,2,1,1,1,1,1,1,1,
1],[1,4,1,4,1,1,2,2,1,1,2,1,2,2,2,4,2,2,1,1,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1],[
1,6,5,2,1,2,4,4,2,1,1,4,1,4,1,2,1],[1,6,5,2,1,2,4,4,2,1,1,4,1,4,1,2,1],[1,6,4,
1,2,1,2,4,4,2,1,1,4,1,4,1,2,1],[1,6,4,1,2,1,2,4,4,2,1,1,4,1,4,1,2,1],[1,2,8,2,
7,1,2,1,1,4,4,16,4,2,4,1,1,1,2,1,2,2,4,2,2,2,4,1,1,1,2,2,2,2,1,1,1,2,2,2,2,2,
2,1],[1,2,8,2,7,2,1,1,1,4,4,16,4,2,4,1,1,2,1,1,2,2,2,4,2,2,4,1,1,2,1,2,2,2,1,
1,1,2,2,2,2,2,2,1],[1,2,8,6,3,1,2,1,1,4,4,8,12,2,4,1,1,1,1,2,2,2,2,2,4,2,4,1,
1,2,1,2,2,2,1,1,1,2,2,2,2,2,2,1],[1,2,8,6,3,1,1,2,1,4,4,8,12,2,4,1,1,1,2,1,2,
2,2,4,2,2,4,1,2,1,1,2,2,2,1,1,1,2,2,2,2,2,2,1],[1,4,1,1,1,2,1,1,2,1,4,1,2,2,2,
4,1,2,2,2,1],[1,8,1,8,1,1,4,4,2,2,2,2,1,4,4,2,2,2,1,1,2,8,2,2,4,4,4,1,1,1,1,1,
1,1,1,1,1,1],[1,2,2,1,1,1,1,1,2,2,1,2,2,1,1,1,4,4,1,2,1],[1,1,3,3,1,3,3,2,2,1,
1,1,4,4,1,2,1],[1,8,1,1,1,4,2,2,2,2,1,2,2,2,4,1,1,2,2,1,1,1,2,4,1,1,1,1,1,1,1,
1],[1,18,1,4,9,4,24,1,12,1,2,1],[1,1,9,9,4,9,4,12,12,1,12,1,1,1,1],[1,1,9,9,4,
9,4,12,12,1,12,1,1,1,1],[1,1,9,9,4,9,4,12,12,1,12,1,1,1,1],[1,2,1,4,1,4,8,1,4,
1,2,1],[1,9,4,9,12,1,1,1],[1,9,4,9,12,1,1,1],[1,9,4,9,12,1,1,1],[1,9,4,9,12,1,
1,1],[1,6,9,4,9,6,2,12,1,6,1,2,1],[1,6,9,4,9,6,2,12,1,6,1,2,1],[1,1,6,4,3,4,6,
2,1,1,3,1,2,1],[1,1,4,3,4,1,1,3,1,1],[1,2,10,1,5,5,1,5,10,10,5,1,5,1,1,2,1,2,
1,1,1,2,2,1],[1,1,5,5,5,10,1,5,1,1,1,1,2,1],[1,1,5,5,5,10,1,5,1,1,1,1,2,1],[1,
1,7,7,1,1,1,1],[1,1,7,7,1,1,1,1],[1,1,7,7,1,1,1,1],[1,6,6,3,16,2,1,3,3,6,2,6,
12,6,3,6,4,8,8,1,1],[1,6,6,3,16,2,1,3,3,6,2,6,12,6,3,6,4,8,8,1,1],[1,12,1,3,3,
4,6,1,3,6,6,3,6,4,8,1,3,6,6,3,1,4,3,2,1,1],[1,12,1,3,3,4,6,1,3,6,6,3,6,4,8,1,
3,6,6,3,1,4,3,2,1,1],[1,1,9,9,4,1,3,9,3,9,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,
1],[1,1,9,9,4,3,1,3,9,9,6,4,4,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,10,9,4,1,3,21,
3,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,10,9,4,3,1,21,3,3,4,4,4,3,1,3,3,3,3,
3,1,4,3,1,1,1,1],[1,10,6,3,4,1,3,9,12,3,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[
1,10,6,3,4,1,3,9,12,3,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,12,3,3,4,6,1,
3,3,6,6,6,4,8,1,3,6,6,3,1,4,3,2,1,1],[1,1,12,3,3,4,6,1,3,3,6,6,6,4,8,1,3,6,6,
3,1,4,3,2,1,1],[1,1,9,6,3,4,1,3,3,3,6,6,3,3,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,
1],[1,1,9,6,3,4,1,3,3,3,6,6,3,3,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,9,9,
4,3,1,3,9,9,3,3,4,4,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,9,9,4,1,3,9,3,9,3,3,4,
4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,18,1,4,9,3,1,9,3,3,3,4,8,3,1,3,3,3,3,3,1,
4,3,1,1,1,1],[1,18,1,4,9,1,3,3,9,3,3,4,8,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,9,
3,6,4,3,6,1,3,3,3,6,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,9,3,6,4,3,6,1,3,
3,3,6,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,9,6,3,4,6,3,1,3,3,3,6,3,3,4,4,
4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,9,6,3,4,6,3,1,3,3,3,6,3,3,4,4,4,1,3,3,3,3,
3,3,1,4,3,1,1,1,1],[1,1,9,9,4,9,3,1,9,3,6,4,4,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[
1,1,9,9,4,9,1,3,3,9,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,9,9,4,9,1,3,3,9,
3,3,4,4,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,9,9,4,9,3,1,9,3,3,3,4,4,4,1,3,3,3,
3,3,3,1,4,3,1,1,1,1],[1,1,12,3,3,4,1,3,6,3,6,6,6,4,8,1,3,6,6,3,1,4,3,2,1,1],[
1,6,1,6,6,4,3,6,1,3,3,3,6,3,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,6,1,6,6,4,
3,6,1,3,3,3,6,3,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,2,6,1,3,3,4,1,3,1,3,6,
6,6,6,3,4,8,1,3,3,2,6,1,4,1,1,2,1],[1,2,6,1,3,3,4,1,3,1,3,6,6,6,6,3,4,8,1,3,3,
2,6,1,4,1,1,2,1],[1,1,8,3,3,4,4,1,3,3,12,12,4,8,1,2,6,6,1,4,1,1,2,1],[1,1,8,3,
3,4,4,1,3,3,12,12,4,8,1,2,6,6,1,4,1,1,2,1],[1,2,6,1,3,3,4,1,3,6,6,3,1,3,3,3,6,
4,8,1,1,3,3,3,1,3,1,4,1,1,1,1,1],[1,2,6,1,3,3,4,1,3,6,6,3,1,3,3,3,6,4,8,1,1,3,
3,3,1,3,1,4,1,1,1,1,1],[1,2,6,1,3,3,4,1,3,1,3,3,3,6,6,6,3,4,8,1,2,6,3,3,1,4,1,
2,1,1],[1,1,3,3,4,1,3,3,4,4,1,6,1,4,1,1,1],[1,1,3,3,4,1,3,3,4,4,1,6,1,4,1,1,
1],[1,1,3,3,4,1,3,3,6,6,4,1,3,3,1,4,3,1,1],[1,1,3,3,4,1,3,3,6,6,4,1,3,3,1,4,3,
1,1],[1,1,3,3,4,1,3,3,6,6,4,1,3,3,1,4,3,1,1],[1,2,6,1,8,3,3,1,1,3,4,6,6,3,6,6,
4,1,2,2,2,1,1,2,3,3,4,6,3,1,1,1,2,2,2,2,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,2,1,2,1,
1,1,1,1,1,2,2,1,1,1,1],[1,15,10,5,6,10,6,5,1],[1,15,10,5,6,10,6,5,1],[1,15,10,
5,6,10,6,5,1],[1,15,10,5,6,10,6,5,1],[1,15,10,5,6,10,6,5,1],[1,2,30,1,15,15,1,
15,5,15,10,30,15,15,60,30,60,30,30,15,20,60,60,60,120,5,10,30,20,20,60,60,60,
120,60,60,60,120,10,15,15,30,60,15,15,30,20,20,60,30,30,60,60,60,60,60,60,5,
20,60,6,30,60,10,10,30,60,60,15,15,30,30,60,60,60,30,6,10,12,20,15,1],[1,2,30,
1,15,15,1,15,5,15,10,30,15,15,60,30,60,30,30,15,20,60,60,60,120,5,10,30,20,20,
60,60,60,120,60,60,60,120,10,15,15,30,60,15,15,30,20,20,60,30,30,60,60,60,60,
60,60,5,20,60,6,30,60,10,10,30,60,60,15,15,30,30,60,60,60,30,6,10,12,20,15,
1],[1,2,6,1,3,3,1,3,1,3,3,3,6,6,6,3,12,12,1,2,6,3,3,6,6,6,6,6,6,24,24,1,3,3,6,
6,12,12,3,4,1],[1,2,6,1,3,3,1,3,1,3,3,3,6,6,6,3,12,12,1,2,6,3,3,6,6,6,6,12,12,
6,6,12,12,1,6,6,6,3,3,6,6,6,3,4,1],[1,2,6,1,3,3,1,3,1,3,3,3,6,6,6,3,4,4,8,8,1,
2,6,3,3,2,2,4,4,4,4,8,8,4,4,8,2,2,2,2,8,8,8,1,1,1,4,4,4,2,2,4,4,4,2,2,4,4,1,2,
4,1],[1,12,1,8,9,9,6,2,6,4,4,12,3,3,12,6,12,9,2,6,18,18,36,12,12,12,2,6,12,6,
6,6,12,4,3,3,6,12,3,6,2,2,6,12,12,12,12,18,6,12,12,12,12,6,6,6,6,1,1,3,6,6,3,
6,3,6,6,6,6,6,6,6,6,1,3,2,6,3,1],[1,12,1,8,9,9,6,2,6,4,4,12,3,3,12,6,12,9,2,6,
18,18,36,12,12,12,2,6,12,6,6,6,12,4,3,3,6,12,3,6,2,2,6,12,12,12,12,18,6,12,12,
12,12,6,6,6,6,1,1,3,6,6,3,6,3,6,6,6,6,6,6,6,6,1,3,2,6,3,1],[1,12,1,13,13,6,2,
6,2,4,12,6,3,3,12,6,12,13,2,6,4,18,4,18,36,8,4,4,4,2,6,12,6,6,6,12,2,4,3,1,1,
3,6,2,4,12,3,6,2,12,12,12,12,18,4,4,4,4,4,4,4,4,4,4,4,4,4,2,2,4,2,2,2,4,6,1,3,
6,6,1,3,6,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,1,1,2,2,2,2,2,1,1,2,1,1,1,1,2,2,1,2,
1],[1,12,1,13,13,6,2,6,4,2,6,12,3,3,12,6,12,13,2,6,18,4,18,4,8,36,4,4,4,2,6,
12,6,6,6,12,4,2,1,3,3,1,2,6,12,4,3,6,2,12,12,12,12,4,18,4,4,4,4,4,4,4,4,4,4,4,
4,2,2,4,2,2,2,4,6,1,3,6,6,3,1,6,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,1,1,2,2,2,2,2,1,
1,2,1,1,1,1,2,2,1,2,1],[1,2,14,1,8,7,7,1,7,1,3,4,2,6,3,3,12,6,12,14,14,7,4,12,
12,12,24,12,12,4,4,4,1,2,6,4,4,12,12,4,8,4,4,4,8,2,1,1,2,4,7,3,6,4,2,6,4,12,2,
2,4,4,4,4,4,12,6,4,12,4,4,4,4,4,4,8,2,6,2,2,2,4,1,4,4,2,1,1,1,2,2,4,4,4,2,1,1,
1,2,2,2,6,6,2,2,2,2,2,4,4,2,2,2,2,2,2,1,1,1,1,2,2,2,2,1,1,1,1],[1,2,14,1,8,7,
7,1,7,1,3,4,2,6,3,3,12,6,12,14,14,7,4,12,12,12,24,12,12,4,4,4,1,2,6,4,4,12,12,
4,8,4,4,4,8,2,1,1,2,4,7,3,6,4,2,6,4,12,2,2,4,4,4,4,4,12,6,4,12,4,4,4,4,4,4,8,
2,6,2,2,2,4,1,4,4,2,1,1,1,2,2,4,4,4,2,1,1,1,2,2,2,6,6,2,2,2,2,2,4,4,2,2,2,2,2,
2,1,1,1,1,2,2,2,2,1,1,1,1],[1,20,1,9,9,10,2,6,4,12,3,3,12,4,6,12,4,9,4,2,12,6,
18,18,36,4,4,4,2,6,12,6,6,6,12,4,3,3,6,12,3,2,6,4,2,2,2,4,12,12,12,12,18,8,8,
4,4,4,4,4,4,4,4,2,2,2,2,4,2,4,6,1,3,6,6,3,1,6,1,2,2,2,4,2,2,2,2,4,4,4,4,4,1,1,
2,2,2,2,2,1,1,2,2,2,2,2,1,2,1],[1,20,1,9,9,10,2,6,4,12,3,3,4,12,6,4,12,9,2,4,
6,12,18,18,36,4,4,4,2,6,12,6,6,6,12,4,3,3,6,12,3,6,2,2,4,2,2,4,12,12,12,12,18,
8,8,4,4,4,4,4,4,4,4,2,2,2,2,4,2,4,6,1,3,6,6,3,1,6,1,2,2,2,4,2,2,2,2,4,4,4,4,4,
1,1,2,2,2,2,2,1,1,2,2,2,2,2,1,2,1],[1,20,1,9,9,10,2,6,5,5,20,10,20,9,10,30,4,
10,4,10,20,8,4,4,4,10,20,10,10,10,20,2,1,1,2,4,5,10,10,10,10,20,10,4,8,8,4,4,
4,4,4,4,4,4,2,2,2,2,4,2,4,10,1,5,10,1,5,1,2,2,2,4,2,2,2,2,4,4,4,4,4,1,1,2,2,2,
2,2,1,1,2,1,1,1,1,2,2,1,2,1],[1,20,1,9,9,10,2,6,5,5,20,10,20,9,10,30,10,4,10,
4,8,20,4,4,4,10,20,10,10,10,20,2,1,1,2,4,5,10,10,10,10,20,4,10,8,8,4,4,4,4,4,
4,4,4,2,2,2,2,4,2,4,10,1,5,10,1,5,1,2,2,2,4,2,2,2,2,4,4,4,4,4,1,1,2,2,2,2,2,1,
1,2,1,1,1,1,2,2,1,2,1],[1,28,1,5,5,14,5,5,20,4,10,20,4,5,4,10,12,30,10,10,20,
4,4,4,10,20,10,10,10,20,5,2,10,4,10,10,2,2,10,20,4,10,4,4,4,4,4,4,4,4,8,8,2,2,
4,2,2,2,4,10,1,5,10,5,1,1,2,4,4,2,2,2,2,4,4,4,4,4,1,1,2,2,2,2,2,1,1,2,2,2,2,2,
2,1,1],[1,28,1,5,5,14,5,5,4,20,10,4,20,5,10,4,30,12,10,10,20,4,4,4,10,20,10,
10,10,20,5,10,2,10,4,2,10,10,2,4,20,10,4,4,4,4,4,4,4,4,8,8,2,2,4,2,2,2,4,10,1,
5,10,1,5,1,2,4,4,2,2,2,2,4,4,4,4,4,1,1,2,2,2,2,2,1,1,2,2,2,2,2,2,1,1],[1,1,19,
13,6,2,3,1,2,9,3,3,2,12,9,4,18,13,6,5,2,15,2,21,8,9,4,30,2,2,6,2,2,3,4,2,1,2,
9,6,6,12,12,2,3,9,2,18,1,3,3,9,1,9,2,1,3,3,9,3,12,6,2,9,2,2,2,4,2,6,2,2,4,2,2,
6,4,2,2,2,2,1,2,1,3,2,2,2,1,2,2,3,3,1,3,6,1,3,3,6,3,1,1,1,1,1,1,1,1,2,1,2,2,1,
2,3,2,2,2,4,2,2,2,2,1,1,1,1,2,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,
19,13,6,2,3,1,9,2,3,3,12,2,9,18,4,13,6,2,5,2,15,8,21,9,30,4,2,2,6,2,2,3,2,4,1,
9,2,6,6,12,2,12,3,2,9,18,3,1,3,9,1,2,9,3,1,3,9,3,12,6,9,2,2,2,2,2,4,6,2,2,6,2,
2,4,4,2,2,2,2,1,1,3,2,2,2,2,1,2,2,3,3,1,3,6,3,1,3,6,3,1,1,1,1,1,1,1,1,2,1,2,2,
1,3,2,2,2,2,4,2,2,2,2,1,1,1,1,1,2,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,
1,19,9,10,5,5,2,5,5,5,2,20,5,4,10,9,10,5,2,15,2,5,8,25,4,30,2,2,2,6,5,2,5,2,5,
10,10,20,2,15,5,2,10,1,5,5,5,5,5,2,1,5,5,5,15,10,2,5,2,2,2,4,2,2,6,2,4,2,6,2,
2,2,4,2,2,1,2,3,1,2,2,2,1,2,2,1,5,5,5,5,1,5,5,1,1,1,1,1,1,1,2,1,2,1,2,3,1,2,2,
4,2,2,2,2,2,2,1,1,1,1,1,1,2,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,19,9,
10,5,5,5,2,5,5,20,2,5,10,4,9,10,2,5,2,15,8,5,25,30,4,2,2,2,6,5,2,5,5,2,10,10,
20,2,15,2,5,10,1,5,5,5,5,2,5,5,1,5,5,15,10,5,2,2,2,2,2,4,2,6,2,4,2,6,2,4,2,2,
2,2,1,3,1,2,2,2,2,1,2,2,1,5,5,5,5,1,5,5,1,1,1,1,1,1,1,2,1,1,2,2,3,1,2,2,4,2,2,
2,2,2,2,1,1,1,1,1,1,2,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,19,9,10,2,3,
2,1,9,3,3,12,6,9,18,9,10,2,5,2,15,21,8,9,30,4,2,2,2,6,2,3,4,1,2,9,2,6,2,6,12,
12,3,2,9,18,3,1,3,9,2,1,9,3,1,3,9,3,2,12,6,9,2,2,2,4,2,2,6,2,6,2,4,2,2,2,4,2,
2,1,3,1,2,2,2,2,1,2,2,3,3,1,3,6,1,3,3,6,3,1,1,1,1,1,1,1,1,2,1,2,2,2,1,3,2,4,2,
2,2,2,2,2,1,1,1,1,2,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,19,9,10,2,
3,1,2,9,3,3,6,12,9,18,9,10,5,2,15,2,21,9,8,4,30,2,2,2,6,2,3,4,2,1,9,6,2,6,2,
12,12,2,3,9,18,3,1,3,9,1,2,9,1,3,3,9,2,3,12,6,9,2,2,4,2,2,2,6,2,2,6,2,4,2,4,2,
2,2,1,2,3,1,2,2,2,1,2,2,3,3,1,3,6,1,3,3,6,3,1,1,1,1,1,1,1,2,1,2,1,2,2,1,3,2,4,
2,2,2,2,2,2,1,1,1,1,1,2,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,19,5,14,
5,2,5,5,5,5,20,6,5,10,5,14,2,5,2,15,5,8,25,30,4,2,2,6,2,5,5,2,5,2,10,2,10,20,
15,2,5,10,1,5,5,5,2,5,5,5,1,5,5,15,2,10,5,2,2,2,4,2,6,2,4,6,2,2,2,2,2,4,2,2,1,
1,3,2,2,2,2,1,2,2,1,5,5,5,1,5,5,5,1,1,1,1,1,1,1,1,2,2,1,2,2,3,1,2,2,2,4,2,2,2,
2,1,1,1,1,1,2,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,19,5,14,5,5,2,5,5,
5,6,20,5,10,5,14,5,2,15,2,5,25,8,4,30,2,2,6,2,5,2,5,5,10,2,10,2,20,2,15,5,10,
5,1,5,5,5,2,5,1,5,5,5,2,15,10,5,2,2,4,2,2,6,2,6,4,2,2,2,2,4,2,2,2,1,2,1,3,2,2,
2,1,2,2,1,5,5,5,5,1,5,5,1,1,1,1,1,1,1,2,1,2,1,2,3,2,1,2,2,2,4,2,2,2,2,1,1,1,1,
1,2,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,12,1,8,9,9,6,2,6,4,4,12,3,3,
12,6,12,9,2,6,18,18,36,12,12,8,4,2,6,12,6,6,6,12,4,3,3,6,12,3,6,2,2,6,12,12,
12,12,18,6,8,8,4,4,4,4,16,4,2,2,2,8,6,1,1,3,6,6,3,6,2,1,2,4,4,2,2,2,2,2,8,8,2,
2,4,4,1,1,2,2,2,4,1,2,1],[1,12,1,8,9,9,6,2,6,4,4,12,3,3,12,6,12,9,2,6,18,18,
36,12,12,8,4,2,6,12,6,6,6,12,4,3,3,6,12,3,6,2,2,6,12,12,12,12,18,6,8,8,4,4,4,
4,16,4,2,2,2,8,6,1,1,3,6,6,3,6,2,1,2,4,4,2,2,2,2,2,8,8,2,2,4,4,1,1,2,2,2,4,1,
2,1],[1,12,1,9,9,6,2,6,4,12,3,3,12,6,12,9,2,6,18,18,36,4,12,2,6,12,6,6,6,12,4,
3,3,6,12,3,6,2,12,12,12,12,18,6,6,12,6,1,3,6,6,3,6,1,3,6,6,6,6,1,3,3,1],[1,12,
1,9,9,6,2,6,4,12,3,3,12,6,12,9,2,6,18,18,36,4,12,2,6,12,6,6,6,12,4,3,3,6,12,3,
6,2,12,12,12,12,18,6,6,12,6,1,3,6,6,3,6,1,3,6,6,6,6,1,3,3,1],[1,2,14,1,7,7,1,
7,1,3,2,6,3,3,12,6,12,14,14,7,4,12,12,12,24,8,8,1,2,6,4,4,12,12,4,8,4,4,4,8,2,
1,1,2,4,7,3,6,4,4,12,2,2,4,4,4,4,4,12,4,4,4,4,8,1,4,4,2,1,1,2,2,4,4,4,2,2,2,2,
2,4,4,2,2,4,4,1,1,2,1,2,1],[1,2,14,1,7,7,1,7,1,3,2,6,3,3,12,6,12,14,14,7,4,12,
12,12,24,8,8,1,2,6,4,4,12,12,4,8,4,4,4,8,2,1,1,2,4,7,3,6,4,4,12,2,2,4,4,4,4,4,
12,4,4,4,4,8,1,4,4,2,1,1,2,2,4,4,4,2,2,2,2,2,4,4,2,2,4,4,1,1,2,1,2,1],[1,12,1,
9,9,6,2,6,4,12,3,3,12,6,12,9,2,6,18,18,36,4,4,8,2,6,12,6,6,6,12,4,3,3,6,12,3,
6,2,12,12,12,12,18,2,6,4,4,4,4,6,1,3,6,6,3,6,1,1,2,4,2,4,2,2,2,4,4,1,1,2,2,1,
1],[1,12,1,9,9,6,2,6,4,12,3,3,12,6,12,9,2,6,18,18,36,4,4,8,2,6,12,6,6,6,12,4,
3,3,6,12,3,6,2,12,12,12,12,18,2,6,4,4,4,4,6,1,3,6,6,3,6,1,1,2,4,2,4,2,2,2,4,4,
1,1,2,2,1,1],[1,2,14,1,7,7,1,7,1,3,2,6,3,3,12,6,12,14,14,7,4,12,12,12,24,8,8,
1,2,6,4,4,12,12,4,8,4,4,4,8,2,1,1,2,4,7,3,6,4,4,12,2,2,4,4,4,4,4,12,4,4,4,4,8,
8,4,4,8,8,1,4,4,2,1,1,2,2,4,4,4,2,4,4,4,2,2,4,4,4,2,2,4,2,2,4,1,2,2,2,4,4,1],[
1,2,14,1,7,7,1,7,1,3,2,6,3,3,12,6,12,14,14,7,4,12,12,12,24,8,8,1,2,6,4,4,12,
12,4,8,4,4,4,8,2,1,1,2,4,7,3,6,4,4,12,2,2,4,4,4,4,4,12,4,4,4,4,8,8,4,4,8,8,1,
4,4,2,1,1,2,2,4,4,4,2,4,4,4,2,2,4,4,4,2,2,4,2,2,4,1,2,2,2,4,4,1],[1,2,14,1,7,
7,1,7,1,3,2,6,3,3,12,6,12,14,14,7,4,12,12,12,24,4,4,4,4,1,2,6,4,4,12,12,4,8,4,
4,4,8,2,1,1,2,4,7,3,6,4,4,12,2,2,4,4,4,4,4,12,2,2,2,2,2,2,4,4,2,2,4,2,2,2,2,8,
4,8,1,4,4,2,1,1,2,2,4,4,4,2,1,1,2,2,2,1,1,2,2,2,2,2,4,4,2,2,2,2,2,2,2,2,1,1,1,
2,2,2,2,2,2,1],[1,2,14,1,7,7,1,7,1,3,2,6,3,3,12,6,12,14,14,7,4,12,12,12,24,4,
4,4,4,1,2,6,4,4,12,12,4,8,4,4,4,8,2,1,1,2,4,7,3,6,4,4,12,2,2,4,4,4,4,4,12,2,2,
2,2,2,2,4,4,2,2,4,2,2,2,2,8,4,8,1,4,4,2,1,1,2,2,4,4,4,2,1,1,2,2,2,1,1,2,2,2,2,
2,4,4,2,2,2,2,2,2,2,2,1,1,1,2,2,2,2,2,2,1],[1,4,1,16,9,9,2,8,2,2,6,6,1,1,2,9,
4,4,4,4,8,8,40,40,4,8,2,2,1,1,1,1,2,2,4,4,1,4,4,12,12,4,4,20,4,4,4,4,8,8,8,8,
8,8,8,2,2,2,4,4,4,4,4,8,8,8,2,2,1,1,1,2,2,4,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,
8,8,8,8,2,8,8,8,8,8,8,1,2,2,4,2,4,4,4,4,4,1],[1,12,1,5,5,6,2,6,1,1,4,2,4,5,4,
12,4,4,8,4,16,2,1,1,2,4,1,2,4,2,2,4,4,8,8,2,2,2,8,8,8,1,1,1,4,2,2,4,4,4,4,1,2,
4,1],[1,12,1,5,5,6,2,6,1,1,4,2,4,5,4,12,4,4,8,4,16,2,1,1,2,4,1,2,4,2,2,4,4,8,
8,2,2,2,8,8,8,1,1,1,4,2,2,4,4,4,4,1,2,4,1],[1,12,1,5,5,6,2,6,1,1,4,2,4,5,4,12,
4,4,8,4,16,2,1,1,2,4,1,2,4,2,2,4,4,8,8,2,2,2,8,16,1,1,4,1,2,2,4,4,4,4,1,2,4,
1],[1,12,1,5,5,6,2,6,1,1,4,2,4,5,4,12,4,4,8,4,16,2,1,1,2,4,1,2,4,2,2,4,4,8,8,
2,2,2,8,16,1,1,4,1,2,2,4,4,4,4,1,2,4,1],[1,4,1,8,5,5,2,4,2,6,1,1,2,5,4,4,8,12,
12,8,4,4,4,2,1,1,2,4,1,2,6,4,6,4,4,4,4,2,2,4,4,2,2,2,8,4,1,1,2,2,1,2,2,2,2,2,
2,1,1,2,2,2,1,1,1,2,2,1],[1,4,1,8,5,5,2,4,2,6,1,1,2,5,4,4,8,12,12,8,4,4,4,2,1,
1,2,4,1,2,6,4,6,4,4,4,4,2,2,4,4,2,2,2,8,4,1,1,2,2,1,2,2,2,2,2,2,1,1,2,2,2,1,1,
1,2,2,1],[1,4,1,9,9,2,2,2,6,6,1,1,2,9,4,4,4,4,8,8,8,4,8,2,2,1,1,1,1,2,2,4,4,1,
4,4,4,4,4,4,2,2,2,4,4,4,4,8,1,1,2,1,2,2,2,2,2,4,2,2,2,2,1,1,1,2,2,1],[1,4,1,9,
9,2,2,2,6,6,1,1,2,9,4,4,4,4,8,8,8,4,8,2,2,1,1,1,1,2,2,4,4,1,4,4,4,4,4,4,2,2,2,
4,4,4,4,8,1,1,2,1,2,2,2,2,2,4,2,2,2,2,1,1,1,2,2,1],[1,4,1,8,5,5,2,4,2,6,1,1,2,
5,4,4,8,12,12,4,4,12,2,1,1,2,4,1,2,6,4,6,4,4,4,4,2,2,4,6,6,6,4,1,1,2,3,2,2,2,
2,2,2,1,1,2,2,2,1,1,1,2,2,1],[1,4,1,8,5,5,2,4,2,6,1,1,2,5,4,4,8,12,12,4,4,12,
2,1,1,2,4,1,2,6,4,6,4,4,4,4,2,2,4,6,6,6,4,1,1,2,3,2,2,2,2,2,2,1,1,2,2,2,1,1,1,
2,2,1],[1,4,1,9,9,2,2,2,6,6,1,1,2,9,4,4,4,4,8,8,8,8,4,2,2,1,1,1,1,2,2,4,4,1,4,
4,4,4,4,4,2,2,2,4,20,8,8,1,1,2,2,2,2,1,2,2,2,2,4,4,4,4,2,2,4,1,2,2,2,4,4,1],[
1,2,22,1,11,11,1,11,1,3,2,2,6,6,3,3,12,12,6,12,12,22,22,11,4,4,12,12,12,12,12,
12,24,24,4,4,1,2,6,4,4,4,4,12,12,12,12,4,4,8,8,4,4,4,4,4,4,8,8,2,2,1,1,1,1,2,
2,4,4,11,3,6,6,4,4,4,4,12,12,2,2,2,2,4,4,4,4,4,4,4,4,4,4,12,12,4,4,4,4,8,8,8,
8,8,8,2,2,2,2,2,2,8,8,1,4,4,4,4,2,2,1,1,1,1,2,2,2,2,4,4,4,4,4,4,2,2,1,1,2,2,4,
4,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,1,1,1,1,1,4,4,4,4,1,4,4,1,
1],[1,2,22,1,11,11,1,11,1,3,2,2,6,6,3,3,12,12,6,12,12,22,22,11,4,4,12,12,12,
12,12,12,24,24,4,4,1,2,6,4,4,4,4,12,12,12,12,4,4,8,8,4,4,4,4,4,4,8,8,2,2,1,1,
1,1,2,2,4,4,11,3,6,6,4,4,4,4,12,12,2,2,2,2,4,4,4,4,4,4,4,4,4,4,12,12,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,2,2,2,2,4,4,2,2,4,4,1,4,4,4,4,2,2,1,1,1,1,2,2,2,2,4,4,
4,4,4,4,2,2,2,2,2,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,2,2,2,2,2,2,2,2,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,1,2,2,2,2,4,2,2,2,2,4,1,1],[1,12,1,8,5,5,6,4,
2,6,1,1,4,2,4,5,4,12,4,4,8,12,12,4,4,4,4,2,1,1,2,4,1,2,4,2,6,2,2,4,4,6,8,8,8,
4,4,4,4,8,2,2,2,2,6,2,2,2,4,1,1,1,1,1,1,1,2,2,4,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,
2,2,1,1,2,2,1,2,2,2,2,1],[1,12,1,8,5,5,6,4,2,6,1,1,4,2,4,5,4,12,4,4,8,12,12,4,
4,4,4,2,1,1,2,4,1,2,4,2,6,2,2,4,4,6,8,8,8,4,4,4,4,8,2,2,2,2,6,2,2,2,4,1,1,1,1,
1,1,1,2,2,4,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,1,1,2,2,1,2,2,2,2,1],[1,20,1,8,
1,1,10,4,1,1,4,4,2,4,4,1,4,4,12,12,4,4,4,4,4,4,1,2,2,4,4,2,2,2,2,4,4,2,16,8,8,
4,4,4,8,8,2,2,2,2,2,2,4,4,4,1,1,1,2,1,4,4,2,2,2,2,2,4,2,2,2,2,2,1,1,2,1,4,4,1,
2,2,1,2,2,1,2,2,1],[1,2,6,1,3,3,1,3,1,3,3,3,6,6,6,3,4,4,1,2,6,3,3,2,2,2,2,2,2,
8,8,8,1,1,1,2,2,4,4,4,4,4,1,2,2,2,1],[1,2,6,1,8,3,3,1,3,1,3,4,3,3,6,6,6,3,4,4,
4,4,4,4,4,1,2,6,3,3,2,4,4,4,4,4,4,4,2,2,2,2,2,2,2,2,2,4,4,8,8,4,1,1,1,2,2,4,4,
2,1,2,2,2,2,2,2,2,2,1,1,2,2,2,1,4,4,1,2,1,1,1,1,1,1,2,2,2,1],[1,12,1,5,5,6,2,
6,1,1,4,2,4,5,4,12,4,4,8,4,2,1,1,2,4,1,2,4,2,2,4,4,8,8,2,2,2,8,1,1,1,2,2,4,4,
4,4,4,1,2,2,2,1],[1,12,1,5,5,6,2,6,1,1,4,2,4,5,4,12,4,4,8,4,2,1,1,2,4,1,2,4,2,
2,4,4,8,8,2,2,2,8,1,1,1,2,2,4,4,4,4,4,1,2,2,2,1],[1,4,1,5,5,2,2,6,1,1,2,5,4,4,
8,4,4,4,4,8,2,1,1,2,4,1,4,2,2,4,2,6,4,4,4,4,4,1,1,1,2,2,1,1,2,2,2,2,2,1,1,1,
1],[1,4,1,5,5,2,2,6,1,1,2,5,4,4,8,4,4,4,4,8,2,1,1,2,4,1,4,2,2,4,2,6,4,4,4,4,4,
1,1,1,2,2,1,1,2,2,2,2,2,1,1,1,1],[1,4,1,5,5,2,2,6,1,1,2,5,4,4,8,4,12,4,4,2,1,
1,2,4,1,4,2,2,4,6,6,12,4,1,1,3,2,1,1,2,2,2,2,2,1,1,1,1],[1,4,1,5,5,2,2,6,1,1,
2,5,4,4,8,4,12,4,4,2,1,1,2,4,1,4,2,2,4,6,6,12,4,1,1,3,2,1,1,2,2,2,2,2,1,1,1,
1],[1,10,4,5,2,1,2,4,8,2,8,6,4,4,2,4,8,4,2,4,1,1,4,4,4,4,1,2,4,4,1,1,2,1,2,2,
2,1,1,1,1],[1,10,4,5,2,1,2,4,8,2,8,6,4,4,2,4,8,4,2,4,1,1,4,4,4,4,1,2,4,4,1,1,
2,1,2,2,2,1,1,1,1],[1,10,9,2,5,10,10,10,4,2,4,8,10,1,5,4,4,4,1,2,4,4,1,1,2,1,
2,2,2,1,1,1,1],[1,10,9,2,5,10,10,4,10,2,4,8,10,1,5,4,4,4,1,2,4,4,1,1,2,1,2,2,
2,1,1,1,1],[1,10,8,1,2,1,2,4,8,2,8,6,4,4,2,8,4,4,2,4,1,1,4,4,4,4,1,2,4,4,1,1,
2,1,2,2,2,1,1,1,1],[1,10,8,1,2,1,2,4,8,2,8,4,6,4,2,8,4,4,2,4,1,1,4,4,4,4,1,2,
4,4,1,1,2,1,2,2,2,1,1,1,1],[1,10,4,5,2,5,10,10,4,10,2,8,4,10,1,5,4,4,4,1,2,4,
4,1,1,2,1,2,2,2,1,1,1,1],[1,10,4,5,2,5,10,10,4,10,2,8,4,10,1,5,4,4,4,1,2,4,4,
1,1,2,1,2,2,2,1,1,1,1],[1,8,1,12,7,7,4,1,3,6,1,1,3,3,2,2,2,2,7,4,4,4,4,8,8,22,
22,2,2,6,2,2,1,1,1,1,1,2,2,6,6,2,2,2,2,2,2,2,2,4,4,11,8,1,1,1,1,2,2,2,2,6,6,2,
2,2,2,2,2,4,8,8,1,1,3,1,1,2,2,4,4,4,1,1,1,1,1,1,1,1,1,1,1,3,2,2,1,1,1,1,1,1,2,
2,2,2,4,4,4,4,2,2,2,2,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,
2,10,1,12,5,5,1,5,6,1,1,3,3,6,6,6,6,10,10,5,22,22,6,2,2,2,2,1,1,5,3,3,2,2,6,6,
2,2,6,6,11,6,22,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,1,1,1,11,1,2,2,4,1,1,1,1,1,
1,1,1,1,1,1,1,1,11,6,6,1,1,1,1,2,2,2,2,2,2,2,2,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1],[1,6,8,6,7,2,1,2,3,3,6,2,6,4,12,16,4,4,2,4,8,6,1,3,1,2,
1,6,2,2,4,4,4,4,2,6,2,8,4,2,1,1,3,2,2,2,2,2,1,1,3,1,2,2,2,2,2,1,2,1,3,2,2,2,2,
1,1,1,1,1,1,1,1],[1,6,8,6,7,2,2,1,3,3,6,2,6,4,12,16,4,4,2,4,8,6,1,3,2,1,1,6,2,
2,4,4,4,2,4,6,2,8,4,2,1,1,2,3,2,2,2,2,1,1,3,1,2,2,2,2,2,1,2,1,3,2,2,2,2,1,1,1,
1,1,1,1,1],[1,6,8,6,7,2,3,1,2,2,1,4,2,2,4,10,8,8,12,4,2,4,8,4,2,1,2,1,1,2,1,4,
2,2,2,4,4,4,6,4,2,2,4,4,4,2,1,2,1,3,2,2,2,2,1,1,1,1,2,2,2,2,2,2,1,2,1,1,2,2,2,
2,2,1,1,1,1,1,1,1,1],[1,6,8,6,7,2,3,2,1,1,2,4,2,2,4,10,8,8,12,4,2,4,8,4,2,1,2,
1,1,1,2,4,2,2,2,4,4,4,6,2,4,2,4,4,4,2,1,1,2,3,2,2,2,2,1,1,1,1,2,2,2,2,2,2,1,2,
1,1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,6,8,10,3,2,1,3,2,3,6,2,4,6,12,8,12,4,2,4,8,
6,1,3,1,2,1,6,2,2,4,4,4,2,4,6,2,8,4,2,1,2,1,3,2,2,2,2,1,1,3,1,2,2,2,2,2,1,2,1,
3,2,2,2,2,1,1,1,1,1,1,1,1],[1,6,8,10,3,2,1,2,3,3,6,2,6,4,12,8,12,4,2,4,8,6,1,
3,1,1,2,6,2,2,4,4,4,2,6,4,2,8,4,2,1,1,2,3,2,2,2,2,1,1,3,1,2,2,2,2,2,1,2,1,3,2,
2,2,2,1,1,1,1,1,1,1,1],[1,6,8,2,11,2,3,2,1,1,2,4,2,2,10,4,8,16,4,4,2,4,8,4,2,
2,1,1,1,2,1,4,2,2,2,4,4,4,4,6,2,2,4,4,4,2,1,1,3,2,2,2,2,2,1,1,1,1,2,2,2,2,2,2,
1,2,1,1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,6,8,2,11,2,2,3,1,2,1,4,2,2,4,10,8,16,4,
4,2,4,8,4,2,1,2,1,2,1,1,4,2,2,2,4,4,4,6,4,2,2,4,4,4,2,1,1,2,3,2,2,2,2,1,1,1,1,
2,2,2,2,2,2,1,2,1,1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,3,3,1,3,3,4,6,6,4,1,3,3,2,
2,12,4,4,3,2,1,2,1,2,1,1,1,1],[1,2,2,1,1,1,1,1,2,2,1,2,4,2,4,4,4,1,2,2,4,1,1,
2,2,4,4,4,4,2,1,2,1,2,1,2,1,1,1,1],[1,1,8,3,3,1,3,4,3,4,4,6,4,6,1,2,4,4,4,3,3,
2,12,4,3,1,2,2,1,2,1,1,1,1],[1,2,2,1,8,1,1,1,1,4,2,2,1,4,4,4,2,2,4,4,1,2,4,4,
4,2,2,4,1,1,2,4,4,4,2,1,1,2,2,1,2,1,1,1,1],[1,8,1,4,7,7,4,1,3,2,1,1,3,3,2,2,2,
2,7,4,4,4,4,8,8,2,2,6,2,2,2,6,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,1,8,1,1,1,1,2,2,2,
2,2,2,2,2,2,2,2,2,1,1,1,11,2,2,2,2,3,2,2,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,2,2,2,2,2,2,1,1,1,1,1,3,1,1,1,2,1,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[
1,2,10,1,4,5,5,1,5,2,1,1,3,3,6,6,6,6,10,10,5,2,2,2,2,6,2,6,1,1,5,3,3,2,2,6,6,
1,2,2,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,1,1,3,1,2,2,2,2,3,2,2,4,4,4,4,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,1,1,3,2,2,1,1,1,1,1,2,1,1,2,2,2,2,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1],[1,1,9,9,4,9,18,4,12,12,9,1,12,1,1,1,1,2,1],[1,1,9,9,4,9,
18,4,12,12,9,1,12,1,1,1,1,2,1],[1,1,9,9,4,9,18,4,12,12,9,1,12,1,1,1,1,2,1],[1,
1,9,9,4,9,9,9,4,12,12,9,1,12,1,1,1,1,1,1,1],[1,18,1,4,9,9,9,4,24,9,1,12,1,2,1,
1,1,1],[1,1,9,9,4,9,18,4,12,12,9,1,12,1,1,1,1,2,1],[1,1,9,9,4,9,9,9,4,12,12,9,
1,12,1,1,1,1,1,1,1],[1,2,18,1,9,9,4,1,9,18,18,9,4,8,12,12,24,9,1,12,12,24,24,
4,1,2,1,1,2,12,1,2,2,1,1,1],[1,1,12,9,9,4,6,9,18,18,4,12,4,12,12,9,1,2,12,12,
12,6,1,1,1,4,6,1,2,2,2,1],[1,1,9,9,4,9,6,4,12,12,9,1,12,2,6,1,1,1,6,1,2,1],[1,
2,1,6,4,1,3,3,4,8,6,2,3,1,1,1,4,3,3,1,2,2,1,3,1,1,1,1],[1,18,1,6,4,9,3,3,4,6,
2,24,9,1,1,12,1,3,3,1,2,2,3,3,1,1,1,1],[1,12,9,4,18,9,12,4,12,9,1,12,1,4,1,2,
1],[1,9,4,9,12,9,1,1,1,1],[1,10,5,5,10,10,10,16,10,5,1,1],[1,10,5,5,10,10,10,
16,10,5,1,1],[1,2,10,1,5,5,1,5,10,10,5,10,10,1,5,5,5,1,1,2,1,2,5,1,1,1,2,2,2,
2,1,1,1,1],[1,2,1,7,1,7,14,1,7,1,2,1,1,1,2,1],[1,1,2,7,1,7,14,1,7,1,2,1,1,1,2,
1],[1,1,7,1,7,1,7,1,1,1,1,1],[1,12,1,9,9,16,6,2,6,4,12,3,3,12,6,12,9,2,6,18,
18,36,16,2,6,12,6,6,6,12,4,3,3,6,12,3,6,2,12,12,12,12,18,4,8,8,6,1,3,6,6,3,6,
4,8,8,1,1,1],[1,12,1,9,9,16,6,2,6,4,12,3,3,12,6,12,9,2,6,18,18,36,16,2,6,12,6,
6,6,12,4,3,3,6,12,3,6,2,12,12,12,12,18,4,8,8,6,1,3,6,6,3,6,4,8,8,1,1,1],[1,1,
15,9,6,16,2,3,1,9,3,3,12,9,18,9,6,5,15,21,9,30,16,2,3,4,1,9,6,6,12,12,3,9,18,
3,3,9,1,9,3,3,9,3,12,6,9,4,8,8,3,3,1,3,6,3,3,6,3,4,4,4,8,1,1,1],[1,1,15,9,6,
16,2,3,1,9,3,3,12,9,18,9,6,5,15,21,9,30,16,2,3,4,1,9,6,6,12,12,3,9,18,3,3,9,1,
9,3,3,9,3,12,6,9,4,8,8,3,3,1,3,6,3,3,6,3,4,4,4,8,1,1,1],[1,6,18,3,16,2,1,6,3,
3,6,2,6,12,12,6,12,16,6,3,3,6,6,6,12,12,6,3,4,8,8,1,3,6,3,6,4,8,3,1,1],[1,6,6,
15,16,2,1,6,3,3,6,2,6,12,12,6,12,16,6,3,3,6,6,6,12,12,6,3,4,8,8,1,3,6,3,6,4,8,
3,1,1],[1,6,18,3,16,2,1,3,6,3,6,2,12,6,12,6,12,16,6,3,3,6,6,6,12,12,6,3,4,8,8,
1,3,6,3,6,4,8,3,1,1],[1,6,6,15,16,2,6,1,3,3,6,2,6,12,12,6,12,16,6,3,3,6,6,6,
12,12,6,3,4,8,8,1,3,6,3,6,4,8,3,1,1],[1,18,6,3,16,2,1,3,3,6,6,2,6,6,6,12,6,6,
6,16,6,3,3,6,6,6,6,6,6,6,3,3,3,4,8,8,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,18,6,3,16,
2,1,3,3,6,6,6,2,6,6,12,6,6,6,16,6,3,3,6,6,6,6,6,6,6,3,3,3,4,8,8,1,3,3,3,3,3,3,
4,4,4,3,1,1],[1,6,12,6,3,16,2,1,3,3,6,2,6,12,6,12,12,6,16,6,3,3,6,12,6,6,12,3,
6,4,8,8,1,3,6,3,6,4,8,3,1,1],[1,6,12,6,3,16,2,1,3,3,6,2,6,12,6,12,12,6,16,6,3,
3,6,12,6,6,12,3,6,4,8,8,1,3,6,3,6,4,8,3,1,1],[1,6,4,6,3,16,2,1,3,3,6,2,6,12,6,
6,16,6,3,1,6,6,6,3,4,8,8,1,3,3,4,1,1,1],[1,6,4,6,3,16,2,1,3,3,6,2,6,12,6,6,16,
6,3,1,6,6,6,3,4,8,8,1,3,3,4,1,1,1],[1,1,3,3,16,1,3,3,6,6,16,1,3,3,12,4,3,4,1,
1],[1,1,3,3,16,1,3,3,6,6,16,1,6,6,3,3,4,3,4,1,1],[1,2,18,1,9,9,4,1,9,3,1,3,9,
6,18,6,18,18,18,9,6,6,4,8,4,4,8,3,1,9,9,3,6,2,18,6,3,3,3,3,6,6,6,6,6,6,3,3,12,
1,4,4,8,8,4,3,1,3,3,3,3,3,6,6,6,6,1,1,2,1,2,4,3,1,1,2,2,1,1],[1,2,18,1,9,9,4,
1,9,1,3,9,3,18,6,18,6,18,18,9,6,6,4,8,4,4,8,1,3,9,3,9,2,6,6,18,3,3,3,3,6,6,6,
6,6,6,3,3,12,1,4,4,8,8,4,1,3,3,3,3,3,3,6,6,6,6,1,1,2,1,2,4,3,1,1,2,2,1,1],[1,
1,20,9,9,4,10,1,3,9,3,9,42,42,6,6,4,8,8,4,4,1,3,2,6,6,18,21,3,3,3,3,6,6,6,6,
12,3,3,6,6,1,4,4,8,8,4,1,3,3,3,3,3,3,6,6,6,6,1,1,2,1,2,4,3,1,2,2,1,1,1],[1,1,
20,9,9,4,10,3,1,3,9,9,42,42,6,6,4,8,8,4,4,3,1,6,2,18,6,21,3,3,3,3,6,6,6,6,12,
3,3,6,6,1,4,4,8,8,4,3,1,3,3,3,3,3,6,6,6,6,1,1,2,1,2,4,3,1,2,2,1,1,1],[1,2,18,
1,9,9,4,1,9,18,18,9,3,1,9,3,9,3,9,3,6,18,6,6,4,8,4,4,8,3,1,1,3,3,9,9,3,9,3,1,
3,9,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,6,6,1,4,4,8,8,4,3,1,3,3,3,3,3,3,3,3,3,
3,3,3,3,1,1,1,1,1,1,1,4,3,1,1,1,1,1,1,1,1],[1,2,18,1,9,9,4,1,9,18,18,9,1,3,3,
9,3,9,3,9,18,6,6,6,4,8,4,4,8,1,3,3,1,9,3,3,9,9,1,3,9,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,6,6,1,4,4,8,8,4,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,1,1,1,1,4,3,
1,1,1,1,1,1,1,1],[1,12,1,8,3,3,4,6,4,1,3,6,6,3,12,12,6,6,6,4,8,8,1,3,2,6,6,12,
6,6,12,3,3,3,1,4,4,4,1,3,3,3,3,3,3,2,1,2,4,3,1,1,1,1],[1,12,1,8,3,3,4,6,4,1,3,
6,6,3,12,12,6,6,6,4,8,8,1,3,2,6,6,12,6,6,12,3,3,3,1,4,4,4,1,3,3,3,3,3,3,2,1,2,
4,3,1,1,1,1],[1,2,6,1,12,3,3,4,1,3,6,1,3,6,6,6,6,3,6,6,6,6,6,4,8,8,1,3,3,2,6,
3,6,6,6,6,12,3,3,3,1,4,4,4,1,3,3,3,3,3,3,2,1,2,4,3,1,1,1,1],[1,2,6,1,12,3,3,4,
1,3,6,1,3,6,6,6,6,3,6,6,6,6,6,4,8,8,1,3,3,2,6,3,6,6,6,6,12,3,3,3,1,4,4,4,1,3,
3,3,3,3,3,2,1,2,4,3,1,1,1,1],[1,2,6,1,12,3,3,4,1,3,1,3,6,3,3,6,6,6,3,6,6,6,6,
6,4,8,8,1,2,6,3,3,3,6,6,6,6,6,6,3,3,3,1,4,4,4,1,3,3,3,3,3,3,2,2,1,4,3,1,1,1,
1],[1,2,6,1,8,3,3,4,1,3,4,1,3,6,6,6,6,3,12,12,4,4,8,8,1,3,3,2,6,2,6,6,4,12,6,
1,4,4,4,1,1,1,6,6,1,2,2,4,1,1,1,1,1],[1,2,6,1,8,3,3,4,1,3,4,1,3,6,6,6,6,3,12,
12,4,4,8,8,1,3,3,2,6,2,6,6,4,12,6,1,4,4,4,1,1,1,6,6,1,2,2,4,1,1,1,1,1],[1,12,
1,12,3,3,4,6,6,1,3,6,6,3,6,6,4,6,6,4,8,8,1,3,3,12,6,6,6,6,3,6,3,1,4,4,4,1,3,3,
3,3,3,3,2,2,1,4,3,1,1,1,1],[1,12,1,12,3,3,4,6,6,1,3,6,6,3,6,6,4,6,6,4,8,8,1,3,
3,12,6,6,6,6,3,6,3,1,4,4,4,1,3,3,3,3,3,3,2,2,1,4,3,1,1,1,1],[1,1,9,9,4,3,1,3,
9,9,10,6,6,4,4,4,3,1,3,3,3,3,3,3,21,1,4,4,4,3,1,3,3,3,3,3,1,1,1,4,3,1,1,1,1],[
1,1,9,9,4,1,3,9,3,9,10,6,6,4,4,4,1,3,3,3,3,3,3,3,21,1,4,4,4,1,3,3,3,3,3,3,1,1,
1,4,3,1,1,1,1],[1,1,15,15,10,5,15,15,6,10,10,10,5,6,6,6,5,10,6,5,1,1],[1,1,15,
15,10,5,15,15,6,10,10,10,5,6,6,6,5,10,6,5,1,1],[1,1,15,15,10,5,15,15,6,10,10,
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],[1,1,15,15,10,5,15,15,6,10,10,10,5,6,6,6,5,10,6,5,1,1],[1,30,1,10,15,5,15,
6,10,20,5,12,6,5,10,6,5,1,1],[1,30,1,10,15,5,15,6,10,20,5,12,6,5,10,6,5,1,1],[
1,1,15,15,10,15,5,15,6,10,10,10,5,6,6,6,5,10,6,5,1,1],[1,1,15,15,10,15,5,15,6,
10,10,10,5,6,6,6,5,10,6,5,1,1],[1,1,15,15,10,15,5,15,6,10,10,10,5,6,6,6,5,10,
6,5,1,1],[1,1,15,15,10,15,5,15,6,10,10,10,5,6,6,6,5,10,6,5,1,1],[1,1,15,15,10,
5,15,15,6,10,10,10,5,6,6,6,5,10,6,5,1,1],[1,10,15,10,5,15,15,6,10,10,10,15,6,
5,10,6,5,1,1],[1,10,15,10,5,15,15,6,10,10,10,15,6,5,10,6,5,1,1],[1,10,15,10,5,
15,15,6,10,10,10,15,6,5,10,6,5,1,1],[1,2,30,1,8,15,15,1,15,5,15,4,10,30,15,15,
60,30,60,30,30,15,20,60,60,60,120,12,12,4,12,12,5,10,30,20,20,60,60,60,120,60,
60,60,120,10,15,15,30,60,15,15,30,20,2,6,20,60,30,30,60,60,60,60,60,60,6,4,12,
12,12,12,12,12,12,24,6,6,6,6,6,12,5,20,60,6,30,60,10,1,10,30,60,60,15,15,30,
30,60,60,60,30,1,3,3,6,6,6,6,6,6,6,6,6,6,12,12,6,6,6,6,6,6,6,6,6,6,12,12,6,10,
12,20,15,1,3,3,2,6,6,6,6,12,6,6,6,3,3,3,6,3,3,1,1,3,3,1,3,3,1],[1,2,30,1,8,15,
15,1,15,5,15,4,10,30,15,15,60,30,60,30,30,15,20,60,60,60,120,12,12,4,12,12,5,
10,30,20,20,60,60,60,120,60,60,60,120,10,15,15,30,60,15,15,30,20,2,6,20,60,30,
30,60,60,60,60,60,60,6,4,12,12,12,12,12,12,12,24,6,6,6,6,6,12,5,20,60,6,30,60,
10,1,10,30,60,60,15,15,30,30,60,60,60,30,1,3,3,6,6,6,6,6,6,6,6,6,6,12,12,6,6,
6,6,6,6,6,6,6,6,12,12,6,10,12,20,15,1,3,3,2,6,6,6,6,12,6,6,6,3,3,3,6,3,3,1,1,
3,3,1,3,3,1],[1,2,38,1,19,19,1,19,5,15,10,2,6,30,15,15,12,60,30,12,60,38,38,
19,20,4,60,12,60,12,60,12,24,120,4,4,8,8,5,10,30,20,4,4,20,12,60,60,12,60,4,
120,8,60,4,4,60,60,4,120,8,10,2,1,15,15,1,2,30,60,4,19,15,30,6,20,4,20,4,60,
12,2,30,30,2,4,60,4,60,4,60,4,60,4,60,12,60,4,4,4,4,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,2,2,4,4,4,4,8,8,4,4,8,2,2,2,2,8,8,8,5,20,4,4,60,6,30,60,10,
2,10,30,60,60,15,1,1,15,30,2,2,30,60,4,4,60,4,60,30,2,1,1,4,4,4,2,2,4,4,4,2,2,
4,4,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,4,4,4,4,4,4,4,4,8,8,8,8,4,
4,4,4,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,2,2,4,2,2,4,4,4,4,4,4,4,4,4,6,
10,12,20,15,1,1,1,1,4,4,4,4,1,2,2,2,2,4,4,4,4,8,4,4,4,4,4,4,8,1,2,2,2,2,2,4,4,
2,2,2,2,4,4,4,4,4,4,4,4,4,4,2,4,2,4,4,4,4,4,4,4,1,2,2,2,2,4,4,4,4,1,2,1,2,1],[
1,2,38,1,19,19,1,19,5,15,2,10,30,6,15,15,60,12,30,60,12,38,38,19,4,20,12,60,
12,60,12,60,120,24,4,4,8,8,5,10,30,4,20,20,4,60,12,12,60,4,60,8,120,4,60,60,4,
4,60,8,120,2,10,15,1,1,15,30,2,4,60,19,15,6,30,4,20,4,20,12,60,30,2,2,30,60,4,
60,4,60,4,60,4,60,4,60,12,4,4,4,4,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
2,2,4,4,4,4,8,8,4,4,8,2,2,2,2,8,8,8,5,4,20,60,4,6,30,60,2,10,10,30,60,60,1,15,
15,1,2,30,30,2,4,60,60,4,60,4,2,30,1,1,4,4,4,2,2,4,4,4,2,2,4,4,2,2,2,2,2,2,2,
2,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,4,4,4,4,4,4,4,4,8,8,8,8,4,4,4,4,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,2,2,4,2,2,4,4,4,4,4,4,4,4,4,6,10,12,20,1,15,1,1,1,
4,4,4,4,1,2,2,2,2,4,4,4,4,8,4,4,4,4,4,4,8,1,2,2,2,2,2,4,4,2,2,2,2,4,4,4,4,4,4,
4,4,4,4,2,4,2,4,4,4,4,4,4,4,1,2,2,2,2,4,4,4,4,1,2,1,2,1],[1,2,22,1,11,11,1,11,
1,3,2,2,6,6,3,3,12,12,6,12,12,22,22,11,4,4,12,12,12,12,12,12,24,24,4,4,1,2,6,
4,4,4,4,12,12,12,12,4,4,8,8,4,4,4,4,4,4,8,8,2,2,1,1,1,1,2,2,4,4,11,3,6,6,4,4,
4,4,12,12,2,2,2,2,4,4,4,4,4,4,4,4,4,4,12,12,4,4,4,4,8,8,8,8,8,8,2,2,2,2,2,2,8,
8,16,1,4,4,4,4,2,2,1,1,1,1,2,2,2,2,4,4,4,4,4,4,2,2,1,1,2,2,4,4,2,2,2,2,2,2,2,
2,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,8,8,1,1,1,1,1,4,4,4,4,1,4,4,1,4,4,4,4,4,4,
4,1,2,2,2,1],[1,2,22,1,11,11,1,11,1,3,2,2,6,6,3,3,12,12,6,12,12,22,22,11,4,4,
12,12,12,12,12,12,24,24,4,16,4,16,1,2,6,4,4,4,4,12,12,12,12,4,4,8,8,4,4,4,4,4,
4,8,8,2,2,1,1,1,1,2,2,4,4,11,3,6,6,4,4,4,4,12,12,2,2,2,2,4,4,4,4,4,4,4,4,4,4,
12,12,4,4,4,4,8,8,8,8,8,8,2,2,2,2,2,2,8,8,8,8,8,16,8,1,4,4,4,4,2,2,1,1,1,1,2,
2,2,2,4,4,4,4,4,4,2,2,4,1,1,2,4,2,4,4,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,8,8,8,8,
8,8,8,8,4,4,8,8,4,4,8,8,1,1,1,1,1,4,4,4,4,1,4,4,1,2,4,2,4,4,4,4,4,2,1,1,2,1,
1],[1,2,22,1,11,11,1,11,1,3,2,2,6,6,3,3,12,12,6,12,12,22,22,11,4,4,12,12,12,
12,12,12,24,24,4,16,4,16,1,2,6,4,4,4,4,12,12,12,12,4,4,8,8,4,4,4,4,4,4,8,8,2,
2,1,1,1,1,2,2,4,4,11,3,6,6,4,4,4,4,12,12,2,2,2,2,4,4,4,4,4,4,4,4,4,4,12,12,4,
4,4,4,8,8,8,8,8,8,2,2,2,2,2,2,8,8,8,8,8,16,8,1,4,4,4,4,2,2,1,1,1,1,2,2,2,2,4,
4,4,4,4,4,2,2,4,1,1,2,4,2,4,4,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,
4,4,8,8,4,4,8,8,1,1,1,1,1,4,4,4,4,1,4,4,1,2,4,2,4,4,4,4,4,2,1,1,2,1,1],[1,2,
22,1,11,11,1,11,1,3,2,2,6,6,3,3,12,12,6,12,12,22,22,11,4,4,12,12,12,12,12,12,
24,24,12,12,8,8,1,2,6,4,4,4,4,12,12,12,12,4,4,8,8,4,4,4,4,4,4,8,8,2,2,1,1,1,1,
2,2,4,4,11,3,6,6,4,4,4,4,12,12,2,2,2,2,4,4,4,4,4,4,4,4,4,4,12,12,4,4,4,4,8,8,
8,8,8,8,6,6,4,4,4,4,8,8,4,4,8,6,6,6,6,24,8,24,1,4,4,4,4,2,2,1,1,1,1,2,2,2,2,4,
4,4,4,4,4,2,2,3,3,4,4,4,2,2,4,4,4,6,6,12,12,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,8,
8,8,8,8,8,8,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,4,4,4,4,1,4,4,3,2,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,1,1,2,2,1,1],[1,2,22,1,11,11,1,11,1,3,2,2,6,6,3,3,12,
12,6,12,12,22,22,11,4,4,12,12,12,12,12,12,24,24,4,4,16,16,1,2,6,4,4,4,4,12,12,
12,12,4,4,8,8,4,4,4,4,4,4,8,8,2,2,1,1,1,1,2,2,4,4,11,3,6,6,4,4,4,4,12,12,2,2,
2,2,4,4,4,4,4,4,4,4,4,4,12,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,2,2,8,8,8,8,16,
16,8,8,16,2,2,2,2,8,16,8,1,4,4,4,4,2,2,1,1,1,1,2,2,2,2,4,4,4,4,4,4,2,2,1,1,8,
8,8,4,4,8,8,8,2,2,4,4,2,2,2,2,2,2,2,2,4,4,4,4,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,2,2,4,2,2,4,2,2,4,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,
1,1,1,2,2,2,2,4,2,2,2,2,4,1,4,4,4,2,2,2,2,2,2,4,4,4,4,2,2,2,2,2,2,2,2,2,2,1,1,
1,1,1,1,1,1],[1,2,22,1,16,11,11,1,11,1,3,8,2,2,6,6,3,3,12,12,6,12,12,22,22,11,
4,4,12,12,12,12,12,12,24,24,40,40,8,4,8,4,8,1,2,6,4,4,4,4,12,12,12,12,4,4,8,8,
4,4,4,4,4,4,8,8,2,2,1,1,1,1,2,2,4,4,11,3,6,6,4,4,4,4,12,12,4,4,12,12,2,2,2,2,
4,4,4,4,4,4,4,4,4,4,12,12,20,8,40,4,4,4,4,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,16,16,
2,2,2,2,2,2,4,20,4,4,4,4,4,8,8,8,8,8,8,8,1,4,4,4,4,2,2,2,2,1,1,1,1,2,2,2,2,4,
4,4,4,4,4,2,2,2,2,2,2,1,1,2,2,2,2,4,4,4,2,2,2,2,2,2,2,2,4,4,2,4,4,4,4,4,4,4,
20,12,12,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,4,4,4,4,4,
4,4,4,4,4,4,2,2,4,4,4,2,8,8,8,8,8,8,1,1,2,2,1,1,1,4,4,4,4,1,2,2,2,2,4,4,4,1,4,
4,4,4,4,4,4,4,4,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,2,2,1,1,1,2,2,2,2,4,4,4,4,1],[1,20,1,8,9,9,10,2,6,4,4,12,3,3,4,12,6,4,12,9,
2,4,6,12,18,18,36,12,12,4,4,20,4,4,4,2,6,12,6,6,6,12,4,3,3,6,12,3,6,2,2,4,2,6,
2,2,4,12,12,12,12,18,6,8,8,8,4,4,4,4,4,4,4,4,8,8,4,4,4,4,8,16,2,2,2,2,4,2,10,
6,2,2,2,20,4,6,1,1,3,6,6,3,1,6,1,5,1,2,1,2,2,4,2,4,4,2,2,2,2,2,2,4,4,2,2,2,2,
4,2,4,8,8,4,1,1,2,8,8,2,2,2,2,2,2,2,2,6,6,4,4,2,2,1,1,1,2,2,2,2,2,2,2,2,4,2,2,
1,4,3,2,2,2,2,2,2,4,2,2,1,1,1,1,1,1,1,1],[1,20,1,8,9,9,10,2,6,4,4,12,3,3,12,4,
6,12,4,9,4,2,12,6,18,18,36,12,12,4,4,20,4,4,4,2,6,12,6,6,6,12,4,3,3,6,12,3,2,
6,4,2,2,6,2,2,4,12,12,12,12,18,6,8,8,8,4,4,4,4,4,4,4,4,8,8,4,4,4,4,16,8,2,2,2,
2,4,2,10,6,2,2,2,20,4,6,1,1,3,6,6,3,1,6,1,5,1,2,1,2,2,4,2,4,2,4,2,2,2,2,2,4,4,
2,2,2,2,4,2,4,8,8,4,1,1,2,8,8,2,2,2,2,2,2,2,2,6,6,4,4,2,2,1,1,1,2,2,2,2,2,2,2,
2,4,2,2,1,4,3,2,2,2,2,2,2,4,2,2,1,1,1,1,1,1,1,1],[1,20,1,8,9,9,10,2,6,4,4,12,
3,3,12,4,6,12,4,9,4,2,12,6,18,18,36,12,12,4,4,4,4,4,20,2,6,12,6,6,6,12,4,3,3,
6,12,3,2,6,4,2,2,6,2,2,4,12,12,12,12,18,6,8,8,8,4,4,4,4,4,4,4,4,12,12,12,12,8,
2,2,2,2,4,2,2,6,10,10,10,4,4,6,1,1,3,6,6,3,1,6,1,1,1,2,5,2,2,4,6,2,2,2,2,2,2,
4,4,6,6,6,6,4,6,4,4,1,1,2,2,2,2,2,2,4,2,2,2,2,4,8,8,2,4,4,2,2,1,1,3,2,2,6,2,2,
2,2,2,2,1,1,2,2,4,2,2,2,2,2,4,2,2,1,1,1,1,1,1,1,1],[1,20,1,8,9,9,10,2,6,4,4,
12,3,3,4,12,6,4,12,9,2,4,6,12,18,18,36,12,12,4,4,4,4,4,20,2,6,12,6,6,6,12,4,3,
3,6,12,3,6,2,2,4,2,6,2,2,4,12,12,12,12,18,6,8,8,8,4,4,4,4,4,4,4,4,12,12,12,12,
8,2,2,2,2,4,2,2,6,10,10,10,4,4,6,1,1,3,6,6,3,1,6,1,1,1,2,5,2,2,4,6,2,2,2,2,2,
2,4,4,6,6,6,6,4,6,4,4,1,1,2,2,2,2,2,4,2,2,2,2,2,4,8,8,2,4,4,2,2,1,1,3,2,2,6,2,
2,2,2,2,2,1,1,2,2,4,2,2,2,2,2,4,2,2,1,1,1,1,1,1,1,1],[1,2,6,1,8,3,3,1,3,1,3,4,
3,3,6,6,6,3,4,4,4,4,4,4,8,8,4,1,2,6,3,3,2,4,4,4,4,4,4,4,2,2,4,4,4,4,8,8,4,4,8,
2,2,2,2,2,2,2,4,4,8,8,8,4,8,1,1,1,4,4,4,2,2,4,4,4,2,2,4,4,2,1,2,2,2,2,2,2,2,2,
1,1,2,2,2,1,4,4,4,4,4,1,2,4,2,1,1,1,1,1,1,2,2,2,2,2,2,1,1,1,2,2,1],[1,2,6,1,8,
3,3,1,3,1,3,4,3,3,6,6,6,3,4,4,4,12,4,12,4,1,2,6,3,3,2,4,4,4,4,4,4,4,6,6,6,6,6,
6,2,2,2,4,4,24,24,4,8,1,3,3,6,6,12,12,2,1,2,2,2,2,2,2,2,2,1,1,2,2,2,1,4,4,4,4,
4,3,4,2,1,1,1,1,1,1,2,2,2,2,2,2,1,1,1,2,2,1],[1,12,1,16,13,13,6,2,6,8,2,4,12,
6,3,3,12,6,12,13,2,6,4,18,4,18,36,8,40,40,8,4,4,4,16,2,6,12,6,6,6,12,2,4,3,1,
1,3,6,2,4,12,3,6,2,4,4,12,12,12,12,12,12,18,4,20,4,4,4,4,4,4,4,4,4,4,4,4,8,8,
16,8,8,16,8,16,16,16,2,2,4,2,2,2,4,4,8,4,8,8,8,8,8,4,8,6,2,2,1,3,6,6,1,3,6,2,
1,2,4,2,4,2,2,2,2,2,8,4,4,4,4,8,8,4,8,4,8,4,2,2,2,2,4,4,8,4,4,8,8,8,8,8,8,4,1,
1,2,2,2,2,2,2,2,6,6,4,4,2,8,8,8,8,8,8,1,1,2,4,2,2,4,2,6,1,1,1,1,2,2,2,2,4,1,1,
2,2,3,2,4,2,2,2,2,2,2,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,12,1,16,13,13,6,2,6,
8,4,2,6,12,3,3,12,6,12,13,2,6,18,4,18,4,8,36,40,40,8,4,4,4,16,2,6,12,6,6,6,12,
4,2,1,3,3,1,2,6,12,4,3,6,2,4,4,12,12,12,12,12,12,4,18,20,4,4,4,4,4,4,4,4,4,4,
4,4,8,8,8,16,16,8,8,16,16,16,2,2,4,2,2,2,4,8,4,8,4,8,8,8,8,4,8,6,2,2,1,3,6,6,
3,1,6,2,1,2,2,4,4,2,2,2,2,2,4,8,4,4,8,4,4,8,4,8,4,8,2,2,2,2,4,4,8,4,4,8,8,8,8,
8,8,4,1,1,2,2,2,2,2,2,2,6,6,4,4,2,8,8,8,8,8,8,1,1,4,2,2,2,4,2,6,1,1,1,1,2,2,2,
2,4,1,1,2,2,3,2,4,2,2,2,2,2,2,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,20,1,9,9,10,
2,6,5,5,20,10,20,9,10,30,4,10,4,10,20,8,4,4,4,16,10,20,10,10,10,20,2,1,1,2,4,
5,10,10,10,10,20,10,4,8,8,4,4,4,4,4,4,4,4,2,2,2,2,4,2,8,8,8,4,8,10,1,5,10,1,5,
1,2,4,2,2,4,2,2,2,2,4,4,4,4,4,1,1,2,2,2,2,2,4,4,4,4,4,1,1,2,1,1,1,1,2,2,2,1,2,
4,2,2,2,1,1,1,2,2,1],[1,20,1,9,9,10,2,6,5,5,20,10,20,9,10,30,10,4,10,4,8,20,4,
4,4,16,10,20,10,10,10,20,2,1,1,2,4,5,10,10,10,10,20,4,10,8,8,4,4,4,4,4,4,4,4,
2,2,2,2,4,2,8,8,8,4,8,10,1,5,10,1,5,1,2,4,2,2,4,2,2,2,2,4,4,4,4,4,1,1,2,2,2,2,
2,4,4,4,4,4,1,1,2,1,1,1,1,2,2,2,1,2,4,2,2,2,1,1,1,2,2,1],[1,20,1,9,9,10,2,6,5,
5,20,10,20,9,10,30,10,4,10,4,8,20,4,16,4,4,10,20,10,10,10,20,2,1,1,2,4,5,10,
10,10,10,20,4,10,8,8,4,4,4,4,4,4,4,4,2,2,2,2,4,2,8,16,4,8,10,1,5,10,1,5,4,1,2,
2,2,4,2,2,2,2,4,4,4,4,4,1,1,2,4,4,2,2,2,2,4,4,4,1,1,2,1,1,1,1,2,2,2,1,2,4,2,2,
2,1,1,1,2,2,1],[1,20,1,9,9,10,2,6,5,5,20,10,20,9,10,30,4,10,4,10,20,8,4,16,4,
4,10,20,10,10,10,20,2,1,1,2,4,5,10,10,10,10,20,10,4,8,8,4,4,4,4,4,4,4,4,2,2,2,
2,4,2,8,16,4,8,10,1,5,10,1,5,4,1,2,2,2,4,2,2,2,2,4,4,4,4,4,1,1,2,4,4,2,2,2,2,
4,4,4,1,1,2,1,1,1,1,2,2,2,1,2,4,2,2,2,1,1,1,2,2,1],[1,12,1,13,13,6,2,6,4,2,6,
12,3,3,12,6,12,13,2,6,18,4,18,4,8,36,8,16,4,4,4,8,2,6,12,6,6,6,12,4,2,1,3,3,1,
2,6,12,4,3,6,2,12,12,12,12,4,18,4,4,4,4,4,4,4,4,4,4,4,4,2,2,4,2,2,2,8,20,4,4,
4,8,16,4,6,1,3,6,6,3,1,6,2,2,4,2,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,1,1,2,2,2,2,
2,6,6,4,8,4,4,2,2,8,4,4,2,2,4,1,1,2,1,1,1,1,2,2,1,3,2,4,2,2,2,1,2,4,4,2,2,1,1,
1,1,1,1,1,1],[1,12,1,13,13,6,2,6,2,4,12,6,3,3,12,6,12,13,2,6,4,18,4,18,36,8,8,
16,4,4,4,8,2,6,12,6,6,6,12,2,4,3,1,1,3,6,2,4,12,3,6,2,12,12,12,12,18,4,4,4,4,
4,4,4,4,4,4,4,4,4,2,2,4,2,2,2,8,20,4,4,4,16,8,4,6,1,3,6,6,1,3,6,2,2,2,4,1,2,2,
2,2,2,2,2,2,2,2,4,4,4,4,4,1,1,2,2,2,2,2,6,6,4,4,8,4,2,2,8,4,4,2,2,4,1,1,2,1,1,
1,1,2,2,1,3,4,2,2,2,2,1,2,4,4,2,2,1,1,1,1,1,1,1,1],[1,2,14,1,8,7,7,1,7,1,3,4,
2,6,3,3,12,6,12,14,14,7,4,12,12,12,24,12,12,4,12,8,8,12,1,2,6,4,4,12,12,4,8,4,
4,4,8,2,1,1,2,4,7,3,6,4,2,6,4,12,2,2,4,4,4,4,4,12,6,4,12,4,4,4,4,4,4,8,4,4,4,
4,8,8,4,4,8,6,6,6,6,6,12,8,1,4,4,2,1,1,1,2,2,4,4,4,2,1,3,4,4,4,2,2,4,4,4,3,2,
2,2,6,6,2,2,2,2,2,4,4,2,2,4,2,2,4,2,2,2,6,6,2,2,2,2,2,4,4,1,1,1,1,2,2,2,2,2,2,
1,1,1,2,1,3,2,4,4,2,2,2,2,1,1,1,1,1,1,1,1],[1,2,14,1,8,7,7,1,7,1,3,4,2,6,3,3,
12,6,12,14,14,7,4,12,12,12,24,12,12,4,12,8,8,12,1,2,6,4,4,12,12,4,8,4,4,4,8,2,
1,1,2,4,7,3,6,4,2,6,4,12,2,2,4,4,4,4,4,12,6,4,12,4,4,4,4,4,4,8,4,4,4,4,8,8,4,
4,8,6,6,6,6,6,12,8,1,4,4,2,1,1,1,2,2,4,4,4,2,1,3,4,4,4,2,2,4,4,4,3,2,2,2,6,6,
2,2,2,2,2,4,4,2,2,4,2,2,4,2,2,2,6,6,2,2,2,2,2,4,4,1,1,1,1,2,2,2,2,2,2,1,1,1,2,
1,3,2,4,4,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,24,9,9,4,12,9,36,36,18,4,24,8,12,12,
18,36,9,1,4,12,24,24,12,9,1,1,1,8,12,1,2,4,4,4,1,2,4,1],[1,2,18,1,9,9,4,1,9,
18,18,9,18,18,4,8,12,12,24,9,9,9,36,1,12,12,24,24,4,9,1,2,1,1,2,12,1,2,2,1,1,
2,2,1,1,4,1,1],[1,2,18,1,9,9,4,1,9,18,18,9,18,18,4,8,12,12,24,9,9,9,18,18,1,
12,12,24,24,4,9,1,2,1,1,2,12,1,2,2,1,1,2,2,1,1,2,2,1,1],[1,1,9,9,4,9,12,18,4,
12,12,9,18,1,12,4,12,9,1,1,1,12,1,2,4,1,2,1],[1,2,18,1,12,9,9,4,1,9,6,18,18,9,
18,18,6,4,8,12,4,12,12,24,9,9,6,18,9,1,2,12,12,12,12,24,24,2,4,6,6,9,1,2,1,1,
2,4,2,6,6,6,6,12,6,1,2,2,1,1,2,2,2,2,6,1,1,1,2,2,1],[1,1,12,9,9,4,6,9,18,18,6,
18,4,12,4,12,12,9,9,9,1,2,12,12,12,2,6,6,9,1,1,1,4,6,6,1,2,2,2,2,2,1,1,1,1],[
1,1,9,9,4,9,18,4,12,12,9,18,1,12,9,1,1,1,1,2,1,2,1],[1,10,25,10,5,10,10,10,20,
10,20,16,10,5,5,20,20,20,5,10,16,1,5,10,5,10,5,1,1],[1,10,25,10,5,10,10,20,10,
10,20,16,10,5,5,20,20,20,5,10,16,1,5,10,5,10,5,1,1],[1,10,20,5,10,5,10,10,20,
10,10,20,16,10,5,5,20,20,20,5,10,16,1,5,10,5,10,5,1,1],[1,10,20,5,10,5,10,10,
20,10,10,20,16,10,5,5,20,20,20,5,10,16,1,5,10,5,10,5,1,1],[1,30,5,5,10,10,10,
10,10,10,10,10,10,16,10,5,5,10,10,10,10,10,10,5,5,5,16,1,5,5,5,5,5,5,5,1,1],[
1,30,5,5,10,10,10,10,10,10,10,10,10,16,10,5,5,10,10,10,10,10,10,5,5,5,16,1,5,
5,5,5,5,5,5,1,1],[1,20,1,5,5,10,5,5,20,10,20,5,10,30,10,10,20,16,10,20,10,10,
10,20,5,10,10,10,10,20,10,16,10,1,5,10,5,1,1,1],[1,20,1,5,5,10,5,5,20,10,20,5,
10,30,10,10,20,16,10,20,10,10,10,20,5,10,10,10,10,20,10,16,10,1,5,10,5,1,1,
1],[1,1,15,5,10,5,5,5,5,5,20,5,10,5,10,5,15,5,25,30,16,5,5,5,10,10,20,15,5,10,
5,5,5,5,5,5,5,5,15,10,5,16,1,5,5,5,5,5,5,1,1,1],[1,1,15,5,10,5,5,5,5,5,20,5,
10,5,10,5,15,5,25,30,16,5,5,5,10,10,20,15,5,10,5,5,5,5,5,5,5,5,15,10,5,16,1,5,
5,5,5,5,5,1,1,1],[1,21,28,7,7,21,28,8,21,7,7,8,7,7,1],[1,21,28,7,7,21,28,8,21,
7,7,8,7,7,1],[1,2,1,2,7,1,1,1,7,14,14,1,1,7,7,7,1,2,2,1,7,1,1,1,1,2,2,1,1,1,1,
1],[1,12,1,9,9,16,6,2,6,4,12,3,3,12,6,12,9,2,6,18,18,36,4,12,16,2,6,12,6,6,6,
12,4,3,3,6,12,3,6,2,12,12,12,12,18,6,6,12,4,8,8,16,6,1,3,6,6,3,6,1,3,6,6,6,6,
4,8,8,1,3,3,1,4,1,1,1],[1,12,1,9,9,16,6,2,6,4,12,3,3,12,6,12,9,2,6,18,18,36,4,
12,16,2,6,12,6,6,6,12,4,3,3,6,12,3,6,2,12,12,12,12,18,6,6,12,4,8,8,16,6,1,3,6,
6,3,6,1,3,6,6,6,6,4,8,8,1,3,3,1,4,1,1,1],[1,12,1,9,9,16,6,2,6,4,12,3,3,12,6,
12,9,2,6,18,18,36,12,12,24,16,2,6,12,6,6,6,12,4,3,3,6,12,3,6,2,12,12,12,12,18,
6,18,12,12,12,12,4,8,8,16,6,1,3,6,6,3,6,3,3,6,12,6,12,6,6,6,12,12,4,8,8,1,3,6,
6,3,1,4,8,3,1,1],[1,12,1,9,9,16,6,2,6,4,12,3,3,12,6,12,9,2,6,18,18,36,12,12,
24,16,2,6,12,6,6,6,12,4,3,3,6,12,3,6,2,12,12,12,12,18,6,18,12,12,12,12,4,8,8,
16,6,1,3,6,6,3,6,3,3,6,12,6,12,6,6,6,12,12,4,8,8,1,3,6,6,3,1,4,8,3,1,1],[1,12,
1,24,9,9,16,6,2,6,12,4,12,3,3,12,6,12,9,2,6,18,18,36,36,36,24,12,16,32,2,6,12,
6,6,6,12,4,3,3,6,12,3,6,2,6,18,12,12,12,12,18,18,24,24,12,12,12,12,48,12,6,6,
6,24,4,8,8,16,6,3,1,3,6,6,3,6,6,3,6,12,12,6,6,6,6,6,24,24,6,6,12,12,8,16,4,8,
8,1,3,6,6,6,12,3,6,1,4,8,3,1,2,1],[1,12,1,24,9,9,16,6,2,6,12,4,12,3,3,12,6,12,
9,2,6,18,18,36,36,36,24,12,16,32,2,6,12,6,6,6,12,4,3,3,6,12,3,6,2,6,18,12,12,
12,12,18,18,24,24,12,12,12,12,48,12,6,6,6,24,4,8,8,16,6,3,1,3,6,6,3,6,6,3,6,
12,12,6,6,6,6,6,24,24,6,6,12,12,8,16,4,8,8,1,3,6,6,6,12,3,6,1,4,8,3,1,2,1],[1,
36,1,9,9,16,18,2,6,4,12,3,3,12,12,6,12,12,9,12,2,36,6,18,18,36,12,12,12,16,32,
2,6,12,6,6,6,12,4,3,3,6,12,3,6,6,12,2,6,6,12,12,12,12,12,18,24,24,12,12,12,12,
12,12,12,12,6,6,6,6,12,6,12,4,8,8,16,6,1,3,6,6,3,3,6,3,6,6,6,12,6,6,6,6,12,12,
12,12,12,3,3,6,6,6,6,6,8,8,8,4,8,8,1,3,6,6,6,6,6,3,6,1,4,8,3,1,2,1],[1,36,1,9,
9,16,18,2,6,4,12,3,3,12,12,6,12,12,9,2,12,6,36,18,18,36,12,12,12,16,32,2,6,12,
6,6,6,12,4,3,3,6,12,3,6,6,2,12,6,6,12,12,12,12,12,18,24,24,12,12,12,12,12,12,
12,12,6,6,6,6,12,6,12,4,8,8,16,6,1,3,6,6,3,3,6,3,6,6,6,12,6,6,6,6,12,12,12,12,
12,3,3,6,6,6,6,6,8,8,8,4,8,8,1,3,6,6,6,6,6,3,6,1,4,8,3,1,2,1],[1,1,27,21,6,16,
2,3,1,6,9,3,3,6,12,9,12,18,21,6,5,6,15,6,21,24,9,12,30,6,6,18,6,16,16,16,2,3,
4,6,1,6,9,6,6,12,12,6,3,9,6,18,3,3,3,9,1,9,6,3,3,3,9,3,12,6,6,9,6,6,6,12,6,18,
6,6,12,6,6,18,12,6,6,6,6,3,6,3,9,6,6,6,3,6,6,4,8,8,16,3,3,1,3,6,3,3,3,6,3,3,3,
3,3,3,3,3,3,6,3,6,6,3,6,9,6,6,6,12,6,6,6,6,3,3,3,3,6,3,3,3,6,3,4,4,8,4,4,4,4,
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],[1,1,27,9,18,16,2,3,1,6,
9,3,3,18,12,9,18,9,18,5,6,15,6,21,9,24,12,30,6,6,6,18,16,16,16,2,3,4,6,1,9,6,
6,6,6,12,12,6,3,9,18,3,3,3,9,1,6,9,3,3,3,9,6,3,12,6,9,6,6,12,6,6,6,18,6,6,18,
6,12,6,12,6,6,6,3,6,9,3,6,6,6,3,6,6,4,8,8,16,3,3,1,3,6,3,3,3,6,3,3,3,3,3,3,3,
3,6,3,6,3,6,6,3,9,6,12,6,6,6,6,6,6,3,3,3,3,3,6,3,6,3,3,4,4,8,4,4,4,4,4,8,1,3,
3,3,3,3,3,3,3,3,3,3,3,3,3,1,4,4,4,3,1,1,1,1],[1,1,27,21,6,16,2,3,1,9,6,3,3,12,
6,9,18,12,21,6,6,5,6,15,24,21,9,30,12,6,6,18,6,16,16,16,2,3,6,4,1,9,6,6,6,12,
6,12,3,6,9,18,3,3,3,9,1,6,9,3,3,3,9,3,12,6,9,6,6,6,6,6,12,18,6,6,18,6,6,12,12,
6,6,6,6,3,3,9,6,6,6,6,3,6,6,4,8,8,16,3,3,1,3,6,3,3,3,6,3,3,3,3,3,3,3,3,3,6,3,
6,6,3,9,6,6,6,6,12,6,6,6,6,3,3,3,3,3,6,3,6,3,3,4,4,8,4,4,4,4,4,8,1,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,1,4,4,4,3,1,1,1,1],[1,1,27,9,18,16,2,3,6,1,9,3,3,12,18,9,18,
9,18,6,5,6,15,21,24,9,30,12,6,6,6,18,16,16,16,2,3,4,1,6,9,6,6,6,6,12,12,3,6,9,
18,3,3,3,9,6,1,9,3,3,3,9,3,6,12,6,9,6,6,6,12,6,6,18,6,18,6,12,6,6,6,12,6,6,3,
9,3,6,6,6,6,3,6,6,4,8,8,16,3,3,1,3,6,3,3,3,6,3,3,3,3,3,3,3,3,3,6,3,6,6,6,3,9,
6,12,6,6,6,6,6,6,3,3,3,3,6,3,3,3,6,3,4,4,8,4,4,4,4,4,8,1,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,1,4,4,4,3,1,1,1,1],[1,12,1,21,21,16,6,2,6,6,4,12,18,3,3,12,6,12,21,2,
6,12,18,12,18,36,24,12,12,12,16,16,16,2,6,12,6,6,6,12,6,4,3,3,3,3,6,6,12,12,3,
6,2,12,12,12,12,18,12,12,12,12,12,12,12,12,12,12,12,12,12,6,6,12,6,6,6,12,4,8,
8,16,6,1,3,6,6,3,3,6,3,6,6,6,6,6,6,6,6,6,12,12,12,12,12,3,3,6,6,6,6,6,4,4,8,8,
4,8,8,1,3,6,3,3,3,3,6,6,3,6,1,4,8,3,1,1,1,1],[1,12,1,21,21,16,6,2,6,4,6,18,12,
3,3,12,6,12,21,2,6,18,12,18,12,24,36,12,12,12,16,16,16,2,6,12,6,6,6,12,4,6,3,
3,3,3,6,6,12,12,3,6,2,12,12,12,12,12,18,12,12,12,12,12,12,12,12,12,12,12,12,6,
6,12,6,6,6,12,4,8,8,16,6,1,3,6,6,3,3,6,3,6,6,6,6,6,6,6,6,6,12,12,12,12,12,3,3,
6,6,6,6,6,4,4,8,8,4,8,8,1,3,6,3,3,3,3,6,6,3,6,1,4,8,3,1,1,1,1],[1,2,30,1,15,
15,16,1,15,5,15,10,30,15,15,60,30,60,30,30,15,20,60,60,60,120,16,32,5,10,30,
20,20,60,60,60,120,60,60,60,120,10,15,15,30,60,15,15,30,20,20,60,30,30,60,60,
60,60,60,60,4,8,8,16,5,20,60,6,30,60,10,10,30,60,60,15,15,30,30,60,60,60,30,4,
8,8,8,8,16,8,6,10,12,20,15,1,4,8,8,1,1,2,1],[1,2,30,1,15,15,16,1,15,5,15,10,
30,15,15,60,30,60,30,30,15,20,60,60,60,120,16,32,5,10,30,20,20,60,60,60,120,
60,60,60,120,10,15,15,30,60,15,15,30,20,20,60,30,30,60,60,60,60,60,60,4,8,8,
16,5,20,60,6,30,60,10,10,30,60,60,15,15,30,30,60,60,60,30,4,8,8,8,8,16,8,6,10,
12,20,15,1,4,8,8,1,1,2,1],[1,12,1,8,9,9,16,6,2,6,4,4,12,3,3,12,6,12,9,2,6,18,
18,36,12,12,12,16,32,2,6,12,6,6,6,12,4,3,3,6,12,3,6,2,2,6,12,12,12,12,18,6,12,
12,12,12,6,6,6,4,8,8,16,6,1,1,3,6,6,3,6,3,6,6,6,6,6,6,6,6,4,8,8,8,1,3,2,6,3,1,
4,1,1,2,1],[1,12,1,8,9,9,16,6,2,6,4,4,12,3,3,12,6,12,9,2,6,18,18,36,12,12,12,
16,32,2,6,12,6,6,6,12,4,3,3,6,12,3,6,2,2,6,12,12,12,12,18,6,12,12,12,12,6,6,6,
4,8,8,16,6,1,1,3,6,6,3,6,3,6,6,6,6,6,6,6,6,4,8,8,8,1,3,2,6,3,1,4,1,1,2,1],[1,
6,16,6,15,16,2,1,6,3,3,6,2,6,12,12,36,12,12,6,12,12,16,16,16,6,3,3,1,6,3,6,6,
6,12,12,12,12,6,6,6,12,12,6,3,3,3,6,6,6,6,6,4,8,8,16,1,3,3,3,6,6,6,6,6,3,6,3,
3,6,6,6,6,4,8,4,8,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,6,16,18,3,16,2,1,6,3,3,6,
2,6,12,12,12,36,12,6,12,12,16,16,16,6,3,3,1,3,6,6,6,6,12,12,12,6,6,12,6,12,12,
6,3,3,6,3,6,6,6,6,4,8,8,16,1,3,3,3,6,6,6,6,6,3,6,3,3,6,6,6,6,4,8,4,8,4,1,3,3,
3,3,3,3,1,4,3,1,1,1,1],[1,6,16,6,15,16,2,6,1,3,3,6,2,6,12,12,36,12,12,6,12,12,
16,16,16,6,3,3,6,1,3,6,6,6,12,12,12,6,12,6,6,12,12,6,3,3,6,3,6,6,6,6,4,8,8,16,
1,3,3,3,6,6,6,6,6,3,6,3,3,6,6,6,6,4,8,4,8,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,6,
16,18,3,16,2,1,3,6,3,6,2,12,6,12,12,36,12,6,12,12,16,16,16,6,3,3,1,6,3,6,6,6,
12,12,12,6,12,6,6,12,12,6,3,6,3,3,6,6,6,6,4,8,8,16,1,3,3,3,6,6,6,6,6,3,6,3,3,
6,6,6,6,4,8,4,8,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,2,6,1,3,3,16,1,3,1,3,3,3,6,
6,6,3,12,12,16,32,1,2,6,3,3,6,6,6,6,6,6,24,24,4,16,1,3,3,6,6,12,12,8,4,3,4,4,
1,1,1],[1,2,6,1,3,3,16,1,3,1,3,3,3,6,6,6,3,12,12,16,32,1,2,6,3,3,6,6,6,6,12,
12,6,6,12,12,4,16,1,6,6,6,3,3,6,6,6,8,4,3,4,4,1,1,1],[1,1,3,3,16,1,3,3,12,6,6,
12,16,1,3,3,6,6,12,12,12,4,16,3,6,3,6,3,6,4,1,3,3,4,3,1,1],[1,1,24,3,3,16,1,3,
12,3,12,12,6,12,6,16,32,1,6,12,12,12,3,3,6,12,12,4,16,3,3,6,6,3,6,8,4,1,3,3,4,
3,1,1],[1,2,18,1,20,9,9,4,1,9,10,3,1,3,9,6,18,6,18,18,18,9,42,42,10,6,6,6,6,4,
8,8,8,4,4,8,3,1,9,9,3,6,2,18,6,6,2,18,6,21,10,42,3,3,3,3,6,6,6,6,6,6,6,6,6,6,
12,12,12,3,3,3,21,3,6,6,12,1,4,4,4,8,8,8,8,4,4,4,4,3,1,3,1,3,1,3,3,3,3,3,3,3,
21,6,18,3,3,3,3,6,6,6,6,6,6,6,6,3,3,3,6,3,3,3,3,3,3,1,1,2,2,1,2,2,4,4,4,4,4,4,
4,3,1,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1,2,2,1,2,2,1,1,1,1,4,3,1,1,1,1,1,1,1,1],[1,
2,18,1,20,9,9,4,1,9,10,1,3,9,3,18,6,18,6,18,18,9,42,42,10,6,6,6,6,4,8,8,8,4,4,
8,1,3,9,3,9,2,6,6,18,2,6,6,18,21,10,42,3,3,3,3,6,6,6,6,6,6,6,6,6,6,12,12,12,3,
3,3,21,3,6,6,12,1,4,4,4,8,8,8,8,4,4,4,4,1,3,1,3,1,3,3,3,3,3,3,3,3,21,18,6,3,3,
3,3,6,6,6,6,6,6,6,6,3,3,3,6,3,3,3,3,3,3,1,1,2,2,1,2,2,4,4,4,4,4,4,4,1,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,1,1,2,2,1,2,2,1,1,1,1,4,3,1,1,1,1,1,1,1,1],[1,2,30,1,15,
15,10,1,15,5,15,30,30,30,30,15,6,10,20,10,10,20,5,15,15,10,30,6,6,12,6,12,5,
10,10,20,20,10,5,6,6,6,12,12,5,10,10,6,5,1,1,2,1],[1,2,30,1,15,15,10,1,15,5,
15,30,30,30,30,15,6,10,20,10,10,20,5,15,15,10,30,6,6,12,6,12,5,10,10,20,20,10,
5,6,6,6,12,12,5,10,10,6,5,1,1,2,1],[1,2,30,1,15,15,10,1,15,5,15,15,15,30,30,
30,15,6,10,20,10,10,20,5,10,30,15,15,6,6,12,6,12,5,10,10,20,20,10,5,6,6,6,12,
12,10,5,10,6,5,1,1,2,1],[1,2,30,1,15,15,10,1,15,30,30,15,5,15,15,15,30,6,10,
20,10,10,20,5,5,15,15,15,5,15,6,6,12,6,12,5,10,10,20,20,10,5,6,6,6,12,12,5,5,
5,10,6,5,1,1,1,1,1],[1,2,30,1,15,15,10,1,15,30,30,15,5,15,15,15,30,6,10,20,10,
10,20,5,5,15,15,15,5,15,6,6,12,6,12,5,10,10,20,20,10,5,6,6,6,12,12,5,5,5,10,6,
5,1,1,1,1,1],[1,1,20,15,15,10,10,5,15,15,30,30,30,6,10,20,20,10,10,5,15,30,30,
15,6,6,6,5,10,10,20,20,10,15,6,12,10,5,10,6,5,1,1,2,1],[1,1,20,15,15,10,10,5,
15,15,30,30,30,6,10,20,20,10,10,5,15,30,30,15,6,6,6,5,10,10,20,20,10,15,6,12,
10,5,10,6,5,1,1,2,1],[1,1,20,15,15,10,5,15,10,15,30,30,30,6,10,20,20,10,10,5,
15,30,30,15,6,6,6,5,10,10,20,20,10,15,6,12,10,5,10,6,5,1,1,2,1],[1,1,15,15,10,
5,15,15,10,30,6,10,10,10,5,15,15,6,6,6,5,10,10,10,15,6,12,5,10,6,5,1,1,1],[1,
1,15,15,10,5,15,15,10,30,6,10,10,10,5,15,15,6,6,6,5,10,10,10,15,6,12,5,10,6,5,
1,1,1],[1,1,15,15,10,5,15,15,10,30,6,10,10,10,5,15,15,6,6,6,5,10,10,10,15,6,
12,5,10,6,5,1,1,1],[1,2,54,1,27,27,1,27,9,27,10,10,30,30,27,27,60,60,54,60,60,
54,54,27,20,20,60,60,60,60,60,60,120,120,12,12,24,24,9,18,54,20,20,20,20,60,
60,60,60,60,60,120,120,60,60,60,60,60,60,120,120,10,10,15,15,15,15,30,30,60,
60,27,27,30,30,20,20,20,20,60,60,30,30,30,30,60,60,60,60,60,60,60,60,60,60,60,
60,12,12,12,12,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,6,6,12,12,12,12,24,24,12,12,24,6,6,6,6,24,24,24,9,20,20,60,60,6,6,30,30,60,
60,10,10,10,10,30,30,60,60,60,60,15,15,15,15,30,30,30,30,60,60,60,60,60,60,30,
30,3,3,12,12,12,6,6,12,12,12,6,6,12,12,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,
12,12,12,12,12,24,24,24,24,12,12,12,12,12,12,12,12,24,24,24,24,12,12,12,12,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,6,6,12,6,6,12,6,6,12,
6,6,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,6,6,10,10,12,12,20,20,
15,15,3,3,3,12,12,12,12,3,6,6,6,6,12,12,12,12,24,12,12,12,12,12,12,24,3,6,4,8,
12,6,6,6,6,6,6,6,6,12,12,12,12,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,6,6,12,12,6,6,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,1,1,1,2,3,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,3,3,6,6,3,6,3,3,3,
6,1],[1,2,38,1,16,19,19,1,19,5,15,8,10,2,6,30,15,15,12,60,30,12,60,38,38,19,
20,4,60,12,60,12,60,12,24,120,40,40,8,4,24,4,8,8,24,5,10,30,20,4,4,20,12,60,
60,12,60,4,120,8,60,4,4,60,60,4,120,8,10,2,1,15,15,1,2,30,60,4,19,15,30,6,20,
4,4,4,12,12,20,4,60,12,2,30,30,2,4,60,4,60,4,60,4,60,4,60,12,60,20,8,40,4,4,4,
4,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,24,24,8,8,8,24,24,8,8,24,24,16,48,2,
2,4,4,4,4,8,8,4,4,8,2,2,2,2,12,20,12,4,12,4,12,8,8,8,8,24,8,8,8,5,20,4,4,60,6,
30,60,10,2,2,2,10,30,60,60,15,1,1,15,30,2,2,30,60,4,4,60,4,60,30,2,2,2,6,2,1,
1,4,4,4,2,2,4,4,4,2,2,6,2,4,4,4,2,2,2,2,2,2,2,2,4,4,2,4,12,4,4,12,12,4,20,12,
12,4,4,4,4,4,4,4,4,8,8,8,8,12,4,4,12,4,12,4,12,4,4,4,4,4,4,4,4,8,8,8,8,4,4,12,
4,4,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,24,8,24,8,8,8,8,8,8,2,2,4,2,2,4,4,4,
4,4,12,12,4,4,4,4,12,4,12,4,12,4,4,12,4,12,12,12,12,24,24,2,2,4,4,4,2,8,8,8,8,
8,8,6,10,12,20,15,1,2,2,1,1,1,4,4,4,4,1,6,2,2,2,2,2,4,4,4,4,8,2,6,4,4,4,4,4,4,
4,8,1,2,4,12,2,2,2,2,4,4,2,2,2,2,4,4,4,4,4,4,4,12,12,12,24,4,12,12,4,4,4,4,4,
4,4,12,2,6,2,6,4,6,2,12,6,6,2,2,4,4,4,4,4,4,4,2,2,2,4,4,4,4,4,4,2,2,2,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,2,2,6,2,2,2,2,4,4,4,4,6,2,6,6,1,2,1,1,1,
2,2,2,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,2,1,1,1,2,2,2,2,2,1],[1,2,38,1,16,19,
19,1,19,5,15,8,2,10,30,6,15,15,60,12,30,60,12,38,38,19,4,20,12,60,12,60,12,60,
120,24,40,40,8,4,24,4,8,8,24,5,10,30,4,20,20,4,60,12,12,60,4,60,8,120,4,60,60,
4,4,60,8,120,2,10,15,1,1,15,30,2,4,60,19,15,6,30,4,20,4,4,12,12,4,20,12,60,30,
2,2,30,60,4,60,4,60,4,60,4,60,4,60,12,20,8,40,4,4,4,4,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,24,24,8,8,24,8,8,24,8,24,24,48,16,2,2,4,4,4,4,8,8,4,4,8,2,2,2,
2,12,20,4,12,4,12,12,8,8,8,24,8,8,8,8,5,4,20,60,4,6,30,60,2,10,2,2,10,30,60,
60,1,15,15,1,2,30,30,2,4,60,60,4,60,4,2,30,2,2,2,6,1,1,4,4,4,2,2,4,4,4,2,6,2,
2,4,4,4,2,2,2,2,2,2,2,2,4,4,2,12,4,4,4,12,4,12,20,12,12,4,4,4,4,4,4,4,4,8,8,8,
8,4,12,12,4,12,4,12,4,4,4,4,4,4,4,4,4,8,8,8,8,4,4,12,4,4,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,24,8,24,8,8,8,8,8,8,8,2,2,4,2,2,4,4,4,4,4,12,12,4,4,4,4,4,12,
12,12,4,4,4,4,12,12,12,12,12,24,24,2,2,4,4,4,2,8,8,8,8,8,8,6,10,12,20,1,15,2,
2,1,1,1,4,4,4,4,1,2,6,2,2,2,2,4,4,4,4,8,6,2,4,4,4,4,4,4,4,8,1,2,4,12,2,2,2,2,
4,4,2,2,2,2,4,4,4,4,4,4,12,4,12,12,24,12,4,12,4,4,4,4,4,4,12,4,2,6,6,2,4,2,6,
12,6,2,6,2,4,4,4,4,4,4,4,2,2,2,4,4,4,4,4,4,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,1,2,2,2,6,2,2,2,4,4,4,4,6,2,6,6,1,2,1,1,1,2,2,2,1,1,2,2,2,2,2,
2,2,4,4,4,4,4,4,4,4,2,1,1,1,2,2,2,2,2,1],[1,2,22,1,11,11,1,11,1,3,2,2,6,6,3,3,
12,12,6,12,12,22,22,11,4,4,12,12,12,12,12,12,24,24,12,32,12,8,8,32,1,2,6,4,4,
4,4,12,12,12,12,4,4,8,8,4,4,4,4,4,4,8,8,2,2,1,1,1,1,2,2,4,4,11,3,6,6,4,4,4,4,
12,12,2,2,2,2,4,4,4,4,4,4,4,4,4,4,12,12,4,4,4,4,8,8,8,8,8,8,6,6,4,4,4,4,8,8,4,
4,8,6,6,6,6,16,8,8,8,8,16,24,16,16,8,24,1,4,4,4,4,2,2,1,1,1,1,2,2,2,2,4,4,4,4,
4,4,2,2,4,4,3,3,4,4,4,2,2,4,4,4,6,4,4,6,12,12,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,
8,8,8,8,8,8,8,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,16,8,8,4,4,4,4,8,8,8,
8,1,1,1,1,1,4,4,4,4,1,4,4,3,2,4,4,2,2,4,4,4,4,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,1,1,2,2,2,2,1,1,1,1,2,2,1,1,1,1,1],[1,2,38,1,19,19,1,19,5,15,2,10,
30,6,15,15,60,12,30,60,12,38,38,19,4,20,12,60,12,60,12,60,120,24,4,16,4,8,8,
16,5,10,30,4,20,20,4,60,12,12,60,4,60,8,120,4,60,60,4,4,60,8,120,2,10,15,1,1,
15,30,2,4,60,19,15,6,30,4,20,4,20,12,60,30,2,2,30,60,4,60,4,60,4,60,4,60,4,60,
12,4,4,4,4,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,2,2,4,4,4,4,8,8,4,4,8,
2,2,2,2,8,8,8,8,8,16,8,8,16,5,4,20,60,4,6,30,60,2,10,10,30,60,60,1,15,15,1,2,
30,30,2,4,60,60,4,60,4,2,30,4,1,1,4,4,4,2,2,4,4,4,2,4,2,4,4,2,2,2,2,2,2,2,2,4,
4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,4,4,4,4,4,4,4,4,8,8,8,8,4,4,4,4,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,2,2,4,2,2,4,4,4,4,4,4,4,4,4,4,4,8,8,4,4,8,8,8,8,8,6,
10,12,20,1,15,1,1,1,4,4,4,4,1,2,2,2,2,4,4,4,4,8,4,4,4,4,4,4,8,1,2,2,2,2,2,4,4,
2,2,2,2,4,4,4,4,4,4,4,4,4,4,2,2,4,4,2,4,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
1,2,2,2,2,4,4,4,4,2,1,2,1,1,2,1,2,2,2,2,4,4,4,4,1,1,1,2,2,1],[1,2,38,1,19,19,
1,19,5,15,10,2,6,30,15,15,12,60,30,12,60,38,38,19,20,4,60,12,60,12,60,12,24,
120,4,16,4,8,8,16,5,10,30,20,4,4,20,12,60,60,12,60,4,120,8,60,4,4,60,60,4,120,
8,10,2,1,15,15,1,2,30,60,4,19,15,30,6,20,4,20,4,60,12,2,30,30,2,4,60,4,60,4,
60,4,60,4,60,12,60,4,4,4,4,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,2,2,4,
4,4,4,8,8,4,4,8,2,2,2,2,8,8,8,8,8,16,8,8,16,5,20,4,4,60,6,30,60,10,2,10,30,60,
60,15,1,1,15,30,2,2,30,60,4,4,60,4,60,30,2,4,1,1,4,4,4,2,2,4,4,4,2,4,2,4,4,2,
2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,4,4,4,4,4,4,4,4,8,8,8,8,4,4,4,4,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,2,2,4,2,2,4,4,4,4,4,4,4,4,4,4,4,8,8,4,
4,8,8,8,8,8,6,10,12,20,15,1,1,1,1,4,4,4,4,1,2,2,2,2,4,4,4,4,8,4,4,4,4,4,4,8,1,
2,2,2,2,2,4,4,2,2,2,2,4,4,4,4,4,4,4,4,4,4,2,2,4,4,2,4,2,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,1,2,2,2,2,4,4,4,4,2,1,2,1,1,2,1,2,2,2,2,4,4,4,4,1,1,1,2,2,1],[1,
2,22,1,16,11,11,1,11,1,3,8,2,2,6,6,3,3,12,12,6,12,12,22,22,11,4,4,12,12,12,12,
12,12,24,24,40,40,8,12,8,12,8,8,8,1,2,6,4,4,4,4,12,12,12,12,4,4,8,8,4,4,4,4,4,
4,8,8,2,2,1,1,1,1,2,2,4,4,11,3,6,6,4,4,4,4,12,12,4,4,12,12,2,2,2,2,4,4,4,4,4,
4,4,4,4,4,12,12,20,8,40,4,4,4,4,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,16,16,6,6,4,4,4,
4,8,8,4,4,8,6,6,6,6,4,20,4,4,4,4,4,8,8,24,8,8,8,24,8,16,1,4,4,4,4,2,2,2,2,1,1,
1,1,2,2,2,2,4,4,4,4,4,4,2,2,2,2,2,2,3,3,4,4,4,2,2,4,4,4,6,2,2,6,12,12,4,2,2,2,
2,2,2,2,2,4,4,2,4,4,4,4,4,4,4,20,12,12,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,2,2,
4,4,4,2,8,8,8,8,8,8,8,8,8,1,1,2,2,1,1,1,4,4,4,4,1,2,2,2,2,4,4,4,3,2,4,4,4,4,4,
4,4,4,4,4,4,2,2,4,4,2,2,2,2,4,4,4,4,4,4,4,4,4,4,2,2,2,4,4,4,4,4,4,2,2,2,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,2,2,2,2,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,
4,4,4,1,1,1,2,2,1],[1,2,18,1,9,9,4,1,9,18,18,9,18,18,4,8,12,12,24,9,9,9,36,36,
1,12,12,24,24,4,9,18,1,2,1,1,2,12,9,1,2,2,1,1,2,2,1,1,4,1,4,1,2,1],[1,2,18,1,
24,9,9,4,1,9,12,18,18,9,36,36,12,18,18,4,8,24,8,12,12,24,9,18,12,36,36,9,9,18,
36,1,4,12,12,24,24,24,24,4,4,12,12,9,9,18,18,9,1,2,1,1,2,8,4,12,12,12,12,12,
12,9,1,2,2,1,1,2,2,4,4,4,4,12,1,1,4,1,2,2,4,4,4,1,1,1,2,2,1],[1,2,18,1,9,9,4,
1,9,18,18,9,18,18,36,36,4,8,12,12,24,9,18,18,36,9,9,36,36,1,12,12,24,24,4,18,
9,1,2,1,1,2,12,9,1,2,2,1,1,2,4,4,2,1,2,2,4,4,1,4,1,1,2,1],[1,2,30,1,15,15,1,
15,5,15,10,30,15,15,60,30,60,30,30,15,20,60,60,60,120,16,5,10,30,20,20,60,60,
60,120,60,60,60,120,10,15,15,30,60,15,15,30,20,20,60,30,30,60,60,60,60,60,60,
16,32,5,20,60,6,30,60,10,10,30,60,60,15,15,30,30,60,60,60,30,16,6,10,12,20,15,
1,1,1,2,1],[1,2,30,1,15,15,1,15,5,15,10,30,15,15,60,30,60,30,30,15,20,60,60,
60,120,16,5,10,30,20,20,60,60,60,120,60,60,60,120,10,15,15,30,60,15,15,30,20,
20,60,30,30,60,60,60,60,60,60,16,32,5,20,60,6,30,60,10,10,30,60,60,15,15,30,
30,60,60,60,30,16,6,10,12,20,15,1,1,1,2,1],[1,20,1,25,25,10,10,30,5,5,20,10,
20,25,10,30,10,20,10,20,40,20,20,20,20,16,10,20,10,10,10,20,10,5,5,10,20,5,10,
10,10,10,20,20,10,40,40,20,20,20,20,20,20,20,20,10,10,10,10,20,10,20,16,16,16,
10,1,5,10,5,5,5,10,10,10,20,10,10,10,10,20,20,20,20,20,5,5,10,10,10,10,10,16,
1,5,10,5,5,5,5,10,10,5,10,5,1,1,1,1,1],[1,20,1,25,25,10,10,30,5,5,20,10,20,25,
10,30,20,10,20,10,20,40,20,20,20,16,10,20,10,10,10,20,10,5,5,10,20,5,10,10,10,
10,20,10,20,40,40,20,20,20,20,20,20,20,20,10,10,10,10,20,10,20,16,16,16,10,1,
5,10,5,5,5,10,10,10,20,10,10,10,10,20,20,20,20,20,5,5,10,10,10,10,10,16,1,5,
10,5,5,5,5,10,10,5,10,5,1,1,1,1,1],[1,60,1,5,5,30,5,5,20,20,10,20,20,5,10,20,
30,60,10,10,20,20,20,20,16,10,20,10,10,10,20,5,10,10,10,20,10,10,10,10,20,20,
10,20,20,20,20,20,20,20,20,40,40,10,10,20,10,10,10,20,32,16,10,1,5,10,5,5,5,
10,20,20,10,10,10,10,20,20,20,20,20,5,5,10,10,10,10,10,16,1,5,10,10,10,10,10,
10,5,5,1,2,1,1],[1,60,1,5,5,30,5,5,20,20,10,20,20,5,20,10,60,30,10,10,20,20,
20,20,16,10,20,10,10,10,20,5,10,10,20,10,10,10,10,10,20,20,10,20,20,20,20,20,
20,20,20,40,40,10,10,20,10,10,10,20,32,16,10,1,5,10,5,5,5,10,20,20,10,10,10,
10,20,20,20,20,20,5,5,10,10,10,10,10,16,1,5,10,10,10,10,10,10,5,5,1,2,1,1],[1,
1,35,5,30,5,5,10,5,5,5,30,20,5,10,5,30,5,10,15,10,5,25,40,20,30,10,10,30,10,
16,5,10,5,5,10,10,10,10,20,10,15,5,10,5,5,5,5,5,10,5,5,5,5,5,10,15,10,5,10,10,
20,10,10,30,10,30,20,10,10,10,10,20,10,10,10,5,10,5,15,10,10,10,5,10,10,16,16,
16,1,5,5,5,5,5,5,5,5,5,5,5,5,5,5,10,5,10,5,10,15,10,5,10,10,10,20,10,10,10,10,
5,5,5,5,5,10,5,5,5,10,16,1,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,1,1,1,1,1],[1,1,35,5,
30,5,10,5,5,5,5,20,30,5,10,5,30,10,5,10,15,5,40,25,30,20,10,10,30,10,16,5,5,
10,5,10,10,10,10,20,15,10,5,10,5,5,5,5,10,5,5,5,5,5,5,15,10,10,5,10,10,10,20,
10,30,10,20,30,10,10,10,10,10,20,10,10,5,5,15,10,10,10,10,5,10,10,16,16,16,1,
5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,10,10,5,10,10,15,5,10,10,10,20,10,10,10,10,5,5,
5,5,5,10,5,5,10,5,16,1,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,1,1,1,1,1],[1,1,35,25,10,
5,5,5,10,5,5,20,10,5,10,20,25,10,10,5,10,15,40,5,25,30,20,10,10,10,30,16,5,10,
5,5,10,10,10,20,10,15,10,5,10,5,5,5,5,5,10,5,5,5,5,5,15,10,5,10,10,10,10,10,
20,10,30,10,20,10,30,10,20,10,10,10,10,5,15,5,10,10,10,10,5,10,10,16,16,16,1,
5,5,5,5,5,5,5,5,5,5,5,5,5,5,10,5,5,10,10,15,5,10,10,20,10,10,10,10,10,10,5,5,
5,5,5,5,10,5,5,10,16,1,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,1,1,1,1,1],[1,1,35,25,10,
5,5,10,5,5,5,10,20,5,20,10,25,10,5,10,15,10,5,40,25,20,30,10,10,10,30,16,5,10,
5,10,5,10,10,20,10,15,5,10,10,5,5,5,5,5,5,10,5,5,5,5,15,10,10,5,10,10,10,20,
10,10,30,10,20,10,30,10,10,10,20,10,10,5,10,15,5,10,10,10,5,10,10,16,16,16,1,
5,5,5,5,5,5,5,5,5,5,5,5,5,5,10,5,10,5,10,15,5,10,10,20,10,10,10,10,10,10,5,5,
5,5,5,5,10,5,10,5,16,1,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,1,1,1,1,1],[1,10,20,5,10,
5,10,10,20,10,10,40,20,16,10,5,5,20,20,20,5,10,20,20,16,1,5,10,5,10,10,10,16,
5,5,5,5,1,1,1],[1,10,20,5,10,5,10,10,20,10,10,40,20,16,10,5,5,20,20,20,5,10,
20,20,16,1,5,10,5,10,10,10,16,5,5,5,5,1,1,1],[1,10,25,10,5,10,10,10,20,10,20,
40,16,10,5,5,20,20,20,5,10,20,20,16,1,5,10,5,10,10,10,16,5,5,5,5,1,1,1],[1,10,
25,10,5,10,10,20,10,10,20,40,16,10,5,5,20,20,20,5,10,20,20,16,1,5,10,5,10,10,
10,16,5,5,5,5,1,1,1],[1,1,21,21,28,7,7,21,21,21,42,28,28,28,8,7,7,21,21,21,21,
21,7,7,28,8,21,8,7,7,7,7,7,7,8,7,7,1,1],[1,22,21,28,7,7,63,21,21,28,28,28,8,7,
7,21,21,21,21,21,7,7,28,8,21,8,7,7,7,7,7,7,8,7,7,1,1],[1,42,1,28,21,7,7,21,21,
21,21,28,56,8,7,7,21,21,21,21,21,7,7,28,8,21,8,7,7,7,7,7,7,8,7,7,1,1],[1,1,21,
21,28,21,7,7,21,21,21,21,28,28,28,8,7,7,21,21,21,21,21,7,7,28,8,21,8,7,7,7,7,
7,7,8,7,7,1,1],[1,1,21,21,28,21,7,7,21,21,42,28,28,28,8,7,7,21,21,21,21,21,7,
7,28,8,21,8,7,7,7,7,7,7,8,7,7,1,1],[1,1,21,21,28,7,7,21,21,21,21,21,28,28,28,
8,7,7,21,21,21,21,21,7,7,28,8,21,8,7,7,7,7,7,7,8,7,7,1,1],[1,45,40,15,15,45,
36,120,45,10,36,15,15,10,15,15,10,6,6,1],[1,45,40,15,15,45,36,120,45,10,36,15,
15,10,15,15,10,6,6,1],[1,36,1,8,9,9,16,18,2,6,4,4,12,3,3,12,12,6,12,12,9,12,2,
36,6,18,18,36,12,12,12,12,12,12,12,36,16,32,32,2,6,12,6,6,6,12,4,3,3,6,12,3,6,
6,12,2,2,6,6,6,12,12,12,12,12,18,6,24,24,24,12,12,12,12,12,12,12,12,12,12,12,
12,24,6,6,6,6,12,6,6,18,18,18,18,12,12,4,8,8,16,16,16,6,1,1,3,6,6,3,3,6,3,3,3,
6,9,6,6,12,6,6,6,6,6,6,6,12,12,6,6,6,6,12,6,12,12,3,3,6,6,6,6,6,6,12,6,6,6,6,
12,12,12,6,12,12,6,6,8,8,8,4,8,8,8,16,1,3,3,6,2,6,6,6,6,6,6,6,3,3,6,6,6,6,6,6,
6,6,12,6,6,1,4,8,4,4,8,1,3,3,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,36,1,8,9,9,16,18,2,
6,4,4,12,3,3,12,12,6,12,12,9,2,12,6,36,18,18,36,12,12,12,12,12,12,12,36,16,32,
32,2,6,12,6,6,6,12,4,3,3,6,12,3,6,6,2,12,2,6,6,6,12,12,12,12,12,18,6,24,24,24,
12,12,12,12,12,12,12,12,12,12,12,12,24,6,6,6,6,12,6,6,18,18,18,18,12,12,4,8,8,
16,16,16,6,1,1,3,6,6,3,3,6,3,3,3,6,9,6,6,12,6,6,6,6,6,6,6,12,12,6,6,6,6,12,6,
12,12,3,3,6,6,6,6,6,12,6,6,6,6,6,12,12,12,6,12,12,6,6,8,8,8,4,8,8,8,16,1,3,3,
6,2,6,6,6,6,6,6,6,3,3,6,6,6,6,6,6,6,6,12,6,6,1,4,8,4,4,8,1,3,3,3,3,3,3,1,2,2,
4,3,1,1,1,1],[1,12,1,32,21,21,16,6,2,6,16,6,4,12,18,3,3,12,6,12,21,2,6,12,18,
12,18,36,24,96,96,24,12,12,12,24,16,32,32,16,16,2,6,12,6,6,6,12,6,4,3,3,3,3,6,
6,12,12,3,6,2,12,8,36,24,12,12,12,12,18,12,48,12,12,12,12,12,12,12,12,12,12,
12,12,24,24,24,24,24,24,24,24,24,48,6,6,12,6,6,6,12,12,12,12,12,12,24,24,24,
12,24,4,8,8,16,16,32,32,16,6,6,4,1,3,6,6,3,3,6,6,3,6,6,6,12,6,6,6,6,6,12,12,
12,12,12,12,12,12,12,12,12,12,6,6,6,6,12,12,12,12,12,24,24,24,24,24,24,12,3,3,
6,6,6,6,6,6,6,6,6,12,12,6,24,24,24,24,24,24,4,4,8,8,8,16,4,8,8,8,16,1,3,6,6,6,
6,12,2,6,3,3,3,3,6,6,6,6,12,3,3,6,6,3,6,12,6,6,6,6,6,6,12,12,12,12,1,4,8,8,4,
8,8,4,1,3,3,3,3,3,3,6,6,6,6,1,1,1,2,2,4,3,1,1,1,2,2,1],[1,12,1,32,21,21,16,6,
2,6,16,4,6,18,12,3,3,12,6,12,21,2,6,18,12,18,12,24,36,96,96,24,12,12,12,24,16,
32,32,16,16,2,6,12,6,6,6,12,4,6,3,3,3,3,6,6,12,12,3,6,2,8,12,24,36,12,12,12,
12,12,18,48,12,12,12,12,12,12,12,12,12,12,12,12,24,24,24,24,24,24,24,24,24,48,
6,6,12,6,6,6,12,12,12,12,12,12,24,24,24,12,24,4,8,8,16,16,32,32,16,6,4,6,1,3,
6,6,3,3,6,6,3,6,6,6,12,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,12,6,6,6,6,
12,12,12,12,12,24,24,24,24,24,24,12,3,3,6,6,6,6,6,6,6,6,6,12,12,6,24,24,24,24,
24,24,4,4,8,8,8,16,4,8,8,8,16,1,3,6,6,6,6,12,2,6,3,3,3,3,6,6,6,6,12,3,3,6,6,3,
6,12,6,6,6,6,6,6,12,12,12,12,1,4,8,8,4,8,8,4,1,3,3,3,3,3,3,6,6,6,6,1,1,1,2,2,
4,3,1,1,1,2,2,1],[1,36,1,24,9,9,16,18,2,6,12,4,12,3,3,12,12,6,12,12,9,2,12,6,
36,18,18,36,36,36,4,12,36,12,12,12,16,32,32,2,6,12,6,6,6,12,4,3,3,6,12,3,6,6,
2,12,6,18,6,6,12,12,12,12,12,18,18,24,24,24,12,12,12,12,12,12,12,12,24,24,12,
12,12,12,24,48,6,6,6,6,12,6,18,6,6,6,6,36,12,4,8,8,16,16,16,6,3,1,3,6,6,3,3,6,
1,9,3,6,3,6,6,12,6,12,12,6,6,6,6,6,6,12,12,6,6,6,6,12,6,12,24,24,12,3,3,6,12,
12,6,6,6,6,6,6,6,6,6,6,12,12,6,6,8,8,8,8,16,4,8,8,16,1,3,3,6,6,6,6,6,6,6,6,12,
6,6,3,6,3,6,6,6,6,6,6,12,6,6,1,4,4,8,8,4,3,3,1,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,
36,1,24,9,9,16,18,2,6,12,4,12,3,3,12,12,6,12,12,9,12,2,36,6,18,18,36,36,36,4,
12,36,12,12,12,16,32,32,2,6,12,6,6,6,12,4,3,3,6,12,3,6,6,12,2,6,18,6,6,12,12,
12,12,12,18,18,24,24,24,12,12,12,12,12,12,12,12,24,24,12,12,12,12,48,24,6,6,6,
6,12,6,18,6,6,6,6,36,12,4,8,8,16,16,16,6,3,1,3,6,6,3,3,6,1,9,3,6,3,6,6,12,6,
12,6,12,6,6,6,6,6,12,12,6,6,6,6,12,6,12,24,24,12,3,3,6,12,12,6,6,6,6,6,6,6,6,
6,6,12,12,6,6,8,8,8,8,16,4,8,8,16,1,3,3,6,6,6,6,6,6,6,6,12,6,6,3,6,3,6,6,6,6,
6,6,12,6,6,1,4,4,8,8,4,3,3,1,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,12,1,21,21,16,6,2,
6,6,4,12,18,3,3,12,6,12,21,2,6,12,18,12,18,36,24,16,24,12,12,12,24,16,16,16,2,
6,12,6,6,6,12,6,4,3,3,3,3,6,6,12,12,3,6,2,12,12,12,12,18,12,12,12,12,12,12,12,
12,12,12,12,12,12,6,6,12,6,6,6,12,48,12,12,12,24,24,12,4,8,8,16,16,16,6,1,3,6,
6,3,3,6,6,4,6,6,3,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,3,3,6,6,6,6,6,6,6,12,12,
12,12,6,6,12,12,12,6,6,12,4,4,8,8,4,8,8,16,1,3,6,3,3,3,3,6,6,3,3,6,6,6,6,6,3,
6,12,12,6,6,1,4,8,4,4,8,3,1,3,3,3,3,3,1,1,1,4,3,1,1,1,1],[1,12,1,21,21,16,6,2,
6,4,6,18,12,3,3,12,6,12,21,2,6,18,12,18,12,24,36,16,24,12,12,12,24,16,16,16,2,
6,12,6,6,6,12,4,6,3,3,3,3,6,6,12,12,3,6,2,12,12,12,12,12,18,12,12,12,12,12,12,
12,12,12,12,12,12,6,6,12,6,6,6,12,48,12,12,12,24,24,12,4,8,8,16,16,16,6,1,3,6,
6,3,3,6,4,6,6,6,3,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,3,3,6,6,6,6,6,6,6,12,12,
12,12,6,6,12,12,12,6,6,12,4,4,8,8,4,8,8,16,1,3,6,3,3,3,3,6,6,3,3,6,6,6,6,6,3,
6,12,12,6,6,1,4,8,4,4,8,3,1,3,3,3,3,3,1,1,1,4,3,1,1,1,1],[1,2,54,1,27,27,16,1,
27,5,15,10,6,18,30,15,15,36,60,30,36,60,54,54,27,20,12,60,36,60,36,60,36,72,
120,12,12,24,24,16,32,16,16,32,5,10,30,20,12,12,20,36,60,60,36,60,12,120,24,
60,12,12,60,60,12,120,24,10,6,3,15,15,3,6,30,60,12,27,15,30,18,20,12,20,12,60,
36,6,30,30,6,12,60,12,60,12,60,12,60,12,60,36,60,12,12,12,12,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,6,6,12,12,12,12,24,24,12,
12,24,6,6,6,6,24,24,24,4,8,8,16,16,32,32,16,5,20,12,12,60,6,30,60,10,6,10,30,
60,60,15,3,3,15,30,6,6,30,60,12,12,60,12,60,30,6,3,3,12,12,12,6,6,12,12,12,6,
6,12,12,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,12,24,24,24,24,12,12,
12,12,12,12,12,12,24,24,24,24,12,12,12,12,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,6,6,12,6,6,12,12,12,12,12,12,12,12,12,4,4,8,8,8,8,8,4,
8,8,8,8,16,8,16,6,10,12,20,15,3,3,3,3,12,12,12,12,3,6,6,6,6,12,12,12,12,24,12,
12,12,12,12,12,24,3,6,6,6,6,6,12,12,6,6,6,6,12,12,12,12,12,12,12,12,12,12,6,
12,6,12,12,12,12,12,12,12,1,4,4,8,8,8,8,8,8,8,8,4,8,8,1,6,6,6,6,12,12,12,12,3,
6,3,6,1,2,1,1,2,4,8,3,1,2,2,1,1,1],[1,2,54,1,27,27,16,1,27,5,15,6,10,30,18,15,
15,60,36,30,60,36,54,54,27,12,20,36,60,36,60,36,60,120,72,12,12,24,24,16,32,
16,16,32,5,10,30,12,20,20,12,60,36,36,60,12,60,24,120,12,60,60,12,12,60,24,
120,6,10,15,3,3,15,30,6,12,60,27,15,18,30,12,20,12,20,36,60,30,6,6,30,60,12,
60,12,60,12,60,12,60,12,60,36,12,12,12,12,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,6,6,12,12,12,12,24,24,12,12,24,6,6,6,6,24,24,24,
4,8,8,16,16,32,32,16,5,12,20,60,12,6,30,60,6,10,10,30,60,60,3,15,15,3,6,30,30,
6,12,60,60,12,60,12,6,30,3,3,12,12,12,6,6,12,12,12,6,6,12,12,6,6,6,6,6,6,6,6,
12,12,12,12,12,12,12,12,12,12,12,12,24,24,24,24,12,12,12,12,12,12,12,12,24,24,
24,24,12,12,12,12,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
6,6,12,6,6,12,12,12,12,12,12,12,12,12,4,4,8,8,8,8,8,4,8,8,8,8,16,8,16,6,10,12,
20,3,15,3,3,3,12,12,12,12,3,6,6,6,6,12,12,12,12,24,12,12,12,12,12,12,24,3,6,6,
6,6,6,12,12,6,6,6,6,12,12,12,12,12,12,12,12,12,12,6,12,6,12,12,12,12,12,12,12,
1,4,4,8,8,8,8,8,8,8,8,4,8,8,1,6,6,6,6,12,12,12,12,3,6,3,6,1,2,1,1,2,4,8,3,1,2,
2,1,1,1],[1,2,30,1,8,15,15,16,1,15,5,15,4,10,30,15,15,60,30,60,30,30,15,20,60,
60,60,120,12,12,4,12,12,16,32,32,5,10,30,20,20,60,60,60,120,60,60,60,120,10,
15,15,30,60,15,15,30,20,2,6,20,60,30,30,60,60,60,60,60,60,6,4,12,12,12,12,12,
12,12,24,6,6,6,6,6,12,4,8,8,16,16,16,5,20,60,6,30,60,10,1,10,30,60,60,15,15,
30,30,60,60,60,30,1,3,3,6,6,6,6,6,6,6,6,6,6,12,12,6,6,6,6,6,6,6,6,6,6,12,12,4,
8,8,8,8,8,16,8,16,6,10,12,20,15,1,3,3,2,6,6,6,6,12,6,6,6,3,3,3,6,3,3,1,4,4,8,
8,4,1,1,3,3,1,3,3,1,2,2,4,1,1,1,1,1],[1,2,30,1,8,15,15,16,1,15,5,15,4,10,30,
15,15,60,30,60,30,30,15,20,60,60,60,120,12,12,4,12,12,16,32,32,5,10,30,20,20,
60,60,60,120,60,60,60,120,10,15,15,30,60,15,15,30,20,2,6,20,60,30,30,60,60,60,
60,60,60,6,4,12,12,12,12,12,12,12,24,6,6,6,6,6,12,4,8,8,16,16,16,5,20,60,6,30,
60,10,1,10,30,60,60,15,15,30,30,60,60,60,30,1,3,3,6,6,6,6,6,6,6,6,6,6,12,12,6,
6,6,6,6,6,6,6,6,6,12,12,4,8,8,8,8,8,16,8,16,6,10,12,20,15,1,3,3,2,6,6,6,6,12,
6,6,6,3,3,3,6,3,3,1,4,4,8,8,4,1,1,3,3,1,3,3,1,2,2,4,1,1,1,1,1],[1,2,30,1,24,
15,15,16,1,15,5,15,12,10,30,15,15,60,30,60,30,30,15,20,60,60,60,120,36,36,12,
36,36,16,32,32,5,10,30,20,20,60,60,60,120,60,60,60,120,10,15,15,30,60,15,15,
30,20,6,18,20,60,30,30,60,60,60,60,60,60,18,12,36,36,36,36,36,36,36,72,18,18,
18,18,18,36,4,8,8,16,16,16,5,20,60,6,30,60,10,3,10,30,60,60,15,15,30,30,60,60,
60,30,3,9,9,18,18,18,18,18,18,18,18,18,18,36,36,18,18,18,18,18,18,18,18,18,18,
36,36,8,16,4,8,8,8,8,16,8,16,6,10,12,20,15,3,9,9,6,18,18,18,18,36,18,18,18,9,
9,9,18,9,9,1,4,8,4,8,8,4,8,1,3,9,9,3,9,9,1,2,2,4,8,3,1,1,1,1],[1,2,30,1,24,15,
15,16,1,15,5,15,12,10,30,15,15,60,30,60,30,30,15,20,60,60,60,120,36,36,12,36,
36,16,32,32,5,10,30,20,20,60,60,60,120,60,60,60,120,10,15,15,30,60,15,15,30,
20,6,18,20,60,30,30,60,60,60,60,60,60,18,12,36,36,36,36,36,36,36,72,18,18,18,
18,18,36,4,8,8,16,16,16,5,20,60,6,30,60,10,3,10,30,60,60,15,15,30,30,60,60,60,
30,3,9,9,18,18,18,18,18,18,18,18,18,18,36,36,18,18,18,18,18,18,18,18,18,18,36,
36,8,16,4,8,8,8,8,16,8,16,6,10,12,20,15,3,9,9,6,18,18,18,18,36,18,18,18,9,9,9,
18,9,9,1,4,8,4,8,8,4,8,1,3,9,9,3,9,9,1,2,2,4,8,3,1,1,1,1],[1,2,6,1,24,3,3,16,
1,3,1,3,12,3,3,6,6,6,3,12,12,12,12,12,12,12,16,32,32,1,2,6,3,3,6,12,12,12,12,
12,12,12,6,6,6,6,6,6,6,6,6,12,12,24,24,12,24,4,16,16,16,1,3,3,6,6,12,12,6,3,6,
6,6,6,6,6,6,6,3,3,6,6,6,3,12,12,12,12,12,8,8,4,16,3,4,6,3,3,3,3,3,3,6,6,6,6,6,
6,4,4,4,1,3,3,6,6,1,4,3,1,1,1,1],[1,2,30,1,20,15,15,10,1,15,10,5,15,30,30,30,
30,15,30,30,10,30,30,6,10,20,20,20,10,10,20,5,15,15,10,30,15,10,30,30,30,60,
15,15,15,6,6,12,6,12,5,10,10,10,20,20,20,20,10,10,10,10,5,15,15,15,15,15,15,6,
6,6,12,12,12,12,10,5,10,10,10,10,10,10,10,10,15,6,6,6,5,5,5,10,1,6,5,1,2,2,1,
1,1,1],[1,2,30,1,20,15,15,10,1,15,10,5,15,30,30,30,30,15,30,30,10,30,30,6,10,
20,20,20,10,10,20,5,15,15,10,30,15,10,30,30,30,60,15,15,15,6,6,12,6,12,5,10,
10,10,20,20,20,20,10,10,10,10,5,15,15,15,15,15,15,6,6,6,12,12,12,12,10,5,10,
10,10,10,10,10,10,10,15,6,6,6,5,5,5,10,1,6,5,1,2,2,1,1,1,1],[1,2,30,1,20,15,
15,10,1,15,5,15,10,15,15,30,30,30,15,30,30,10,30,30,6,10,20,20,20,10,10,20,5,
10,30,15,15,15,10,30,30,30,30,30,15,15,15,6,6,12,6,12,5,10,10,10,20,20,20,20,
10,10,10,10,5,15,15,15,15,15,15,6,6,6,12,12,12,12,10,10,5,10,10,10,10,10,10,
10,15,6,6,6,5,5,5,10,1,6,5,1,2,2,1,1,1,1],[1,2,54,1,16,27,27,1,27,9,27,8,10,
10,30,30,27,27,60,60,54,60,60,54,54,27,20,20,60,60,60,60,60,60,120,120,40,40,
8,12,40,12,24,24,40,9,18,54,20,20,20,20,60,60,60,60,60,60,120,120,60,60,60,60,
60,60,120,120,10,10,15,15,15,15,30,30,60,60,27,27,30,30,20,20,4,4,12,12,20,20,
60,60,30,30,30,30,60,60,60,60,60,60,60,60,60,60,60,60,20,8,40,12,12,12,12,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,40,40,24,24,24,24,24,
24,8,40,40,48,48,6,6,12,12,12,12,24,24,12,12,24,6,6,6,6,20,20,12,12,12,12,20,
8,8,24,24,24,24,24,8,16,9,20,20,60,60,6,6,30,30,60,60,10,10,2,2,10,10,30,30,
60,60,60,60,15,15,15,15,30,30,30,30,60,60,60,60,60,60,30,30,2,2,6,6,3,3,12,12,
12,6,6,12,12,12,6,6,6,6,12,12,4,6,6,6,6,6,6,6,6,12,12,2,12,12,12,12,20,12,12,
20,12,12,12,12,12,12,12,12,12,12,24,24,24,24,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,24,24,24,24,12,12,20,12,12,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,8,8,8,8,24,24,6,6,12,6,6,12,6,6,12,6,6,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,20,12,12,4,4,12,
12,20,12,12,12,12,20,24,24,24,24,2,2,4,4,4,2,8,8,8,8,8,8,8,8,8,6,6,10,10,12,
12,20,20,15,15,2,2,3,3,3,12,12,12,12,3,6,6,6,6,6,6,12,12,12,12,24,6,6,12,12,
12,12,4,12,12,24,3,6,4,8,12,4,4,12,12,6,6,6,6,6,6,6,6,12,12,12,12,6,6,6,6,6,6,
6,6,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,24,12,12,20,4,4,
12,12,12,12,12,12,12,12,12,12,6,6,6,6,6,6,12,12,6,6,12,12,6,6,6,6,6,6,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,2,2,2,4,4,4,4,4,4,2,2,2,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,2,3,2,2,6,6,6,6,
6,6,6,6,6,6,12,12,12,12,12,12,12,12,6,6,2,2,6,6,6,6,3,3,6,6,1,1,1,1,1,2,2,2,2,
2,2,1,3,6,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,2,2,3,3,1,1,1,3,6,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,2,
18,1,24,9,9,4,1,9,12,18,18,9,36,36,12,18,18,36,36,4,8,24,8,12,12,24,9,18,12,
36,36,18,18,36,9,9,18,36,36,36,1,4,12,12,24,24,24,24,4,4,12,12,18,9,9,18,18,9,
18,1,2,1,1,2,8,4,12,12,12,12,12,12,9,9,9,1,2,2,1,1,2,4,4,2,4,4,4,4,12,9,1,2,2,
4,4,1,4,1,2,2,4,4,4,4,1,1,2,1,2,2,2,1,1,1,1],[1,2,70,1,35,35,1,35,5,15,10,10,
30,30,15,15,60,60,30,60,60,70,70,35,20,20,60,60,60,60,60,60,120,120,20,20,40,
40,16,5,10,30,20,20,20,20,60,60,60,60,60,20,120,40,60,20,20,60,60,20,120,40,
10,10,5,15,15,5,10,30,60,20,35,15,30,30,20,20,20,20,60,60,10,30,30,10,20,60,
20,60,20,60,20,60,20,60,60,60,20,20,20,20,40,40,40,40,40,40,40,40,40,40,40,40,
40,40,40,40,40,40,40,40,40,40,10,10,20,20,20,20,40,40,20,20,40,10,10,10,10,40,
40,40,16,16,32,16,32,5,20,20,20,60,6,30,60,10,10,10,30,60,60,15,5,5,15,30,10,
10,30,60,20,20,60,20,60,30,10,5,5,20,20,20,10,10,20,20,20,10,10,20,20,10,10,
10,10,10,10,10,10,20,20,20,20,20,20,20,20,20,20,20,20,40,40,40,40,20,20,20,20,
20,20,20,20,40,40,40,40,20,20,20,20,40,40,40,40,40,40,40,40,40,40,40,40,40,40,
40,40,40,40,40,40,10,10,20,10,10,20,20,20,20,20,20,20,20,20,16,16,16,32,32,6,
10,12,20,15,5,5,5,5,20,20,20,20,5,10,10,10,10,20,20,20,20,40,20,20,20,20,20,
20,40,5,10,10,10,10,10,20,20,10,10,10,10,20,20,20,20,20,20,20,20,20,20,10,20,
10,20,20,20,20,20,20,20,16,1,10,10,10,10,20,20,20,20,5,10,5,10,1,5,1,1,2,1,2,
1,1,1,2,2,1],[1,2,70,1,35,35,1,35,5,15,10,10,30,30,15,15,60,60,30,60,60,70,70,
35,20,20,60,60,60,60,60,60,120,120,20,20,40,40,16,5,10,30,20,20,20,20,60,60,
60,60,20,60,40,120,20,60,60,20,20,60,40,120,10,10,15,5,5,15,30,10,20,60,35,15,
30,30,20,20,20,20,60,60,30,10,10,30,60,20,60,20,60,20,60,20,60,20,60,60,20,20,
20,20,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,10,10,
20,20,20,20,40,40,20,20,40,10,10,10,10,40,40,40,16,16,32,16,32,5,20,20,60,20,
6,30,60,10,10,10,30,60,60,5,15,15,5,10,30,30,10,20,60,60,20,60,20,10,30,5,5,
20,20,20,10,10,20,20,20,10,10,20,20,10,10,10,10,10,10,10,10,20,20,20,20,20,20,
20,20,20,20,20,20,40,40,40,40,20,20,20,20,20,20,20,20,40,40,40,40,20,20,20,20,
40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,10,10,20,10,10,20,
20,20,20,20,20,20,20,20,16,16,16,32,32,6,10,12,20,5,15,5,5,5,20,20,20,20,5,10,
10,10,10,20,20,20,20,40,20,20,20,20,20,20,40,5,10,10,10,10,10,20,20,10,10,10,
10,20,20,20,20,20,20,20,20,20,20,10,20,10,20,20,20,20,20,20,20,16,1,10,10,10,
10,20,20,20,20,5,10,5,10,1,5,1,1,2,1,2,1,1,1,2,2,1],[1,20,1,25,25,10,10,30,5,
5,20,10,20,25,10,30,10,20,10,20,40,20,20,20,20,80,16,10,20,10,10,10,20,10,5,5,
10,20,5,10,10,10,10,20,20,10,40,40,20,20,20,20,20,20,20,20,10,10,10,10,20,10,
40,40,40,20,40,16,16,16,10,1,5,10,5,5,5,10,20,10,10,20,10,10,10,10,20,20,20,
20,20,5,5,10,10,10,10,10,20,20,20,20,20,16,32,1,5,10,5,5,5,5,10,10,10,5,10,20,
10,10,10,16,5,5,5,10,10,1,5,1,1,1,1,2,1],[1,20,1,25,25,10,10,30,5,5,20,10,20,
25,10,30,20,10,20,10,20,40,20,20,20,80,16,10,20,10,10,10,20,10,5,5,10,20,5,10,
10,10,10,20,10,20,40,40,20,20,20,20,20,20,20,20,10,10,10,10,20,10,40,40,40,20,
40,16,16,16,10,1,5,10,5,5,5,10,20,10,10,20,10,10,10,10,20,20,20,20,20,5,5,10,
10,10,10,10,20,20,20,20,20,16,32,1,5,10,5,5,5,5,10,10,10,5,10,20,10,10,10,16,
5,5,5,10,10,1,5,1,1,1,1,2,1],[1,20,1,25,25,10,10,30,5,5,20,10,20,25,10,30,20,
10,20,10,20,40,20,80,20,20,16,10,20,10,10,10,20,10,5,5,10,20,5,10,10,10,10,20,
10,20,40,40,20,20,20,20,20,20,20,20,10,10,10,10,20,10,40,80,20,40,16,16,16,10,
1,5,10,5,5,20,5,10,10,10,20,10,10,10,10,20,20,20,20,20,5,5,10,20,20,10,10,10,
10,20,20,20,16,32,1,5,10,5,5,5,5,10,10,10,5,10,20,10,10,10,16,5,5,5,10,10,1,5,
1,1,1,1,2,1],[1,20,1,25,25,10,10,30,5,5,20,10,20,25,10,30,10,20,10,20,40,20,
20,80,20,20,16,10,20,10,10,10,20,10,5,5,10,20,5,10,10,10,10,20,20,10,40,40,20,
20,20,20,20,20,20,20,10,10,10,10,20,10,40,80,20,40,16,16,16,10,1,5,10,5,5,20,
5,10,10,10,20,10,10,10,10,20,20,20,20,20,5,5,10,20,20,10,10,10,10,20,20,20,16,
32,1,5,10,5,5,5,5,10,10,10,5,10,20,10,10,10,16,5,5,5,10,10,1,5,1,1,1,1,2,1],[
1,1,21,21,28,7,7,21,21,21,22,42,42,28,28,28,8,7,7,21,21,21,21,21,21,63,7,7,28,
28,28,8,7,7,21,21,21,21,21,8,7,7,7,7,7,7,28,8,21,8,7,7,7,7,7,7,8,7,7,1,1,1],[
1,1,44,21,21,28,22,7,7,21,21,21,126,126,42,42,28,56,56,28,28,8,7,7,14,14,42,
42,63,21,21,21,21,42,42,42,42,84,21,21,42,42,7,7,28,28,56,56,28,8,16,7,7,21,
21,21,21,21,42,42,42,42,8,7,7,7,7,14,14,7,7,14,14,28,8,21,8,16,7,7,14,14,14,
14,7,7,7,7,8,7,7,1,1,2,1],[1,2,42,1,21,21,28,1,21,7,7,21,21,42,42,42,42,42,42,
21,42,42,28,56,28,28,56,8,7,7,21,21,21,14,14,42,42,21,21,21,21,42,42,42,42,42,
42,21,21,84,7,7,28,28,56,56,28,8,16,7,7,21,21,21,21,21,42,42,42,42,8,7,7,7,7,
14,14,7,7,14,14,28,8,21,8,16,7,7,7,7,14,14,14,14,7,7,8,7,7,1,1,2,1],[1,2,42,1,
21,21,28,1,21,42,42,21,7,7,21,21,21,21,21,21,42,42,42,42,28,56,28,28,56,8,7,7,
7,7,21,21,21,21,21,7,7,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,
21,21,42,42,7,7,28,28,56,56,28,8,16,7,7,21,21,21,21,21,21,21,21,21,21,21,21,
21,8,7,7,7,7,7,7,7,7,7,7,7,7,7,7,28,8,21,8,16,7,7,7,7,7,7,7,7,7,7,7,7,7,7,8,7,
7,1,1,1,1,1],[1,1,45,45,40,15,15,45,45,45,90,36,40,120,120,15,15,45,45,45,45,
45,10,36,36,36,15,15,120,45,10,10,10,36,15,15,15,15,15,15,10,20,15,15,6,6,10,
6,6,1,1],[1,1,45,45,40,45,15,15,45,45,90,36,40,120,120,15,15,45,45,45,45,45,
10,36,36,36,15,15,120,45,10,10,10,36,15,15,15,15,15,15,10,20,15,15,6,6,10,6,6,
1,1],[1,1,45,45,40,45,15,15,45,45,45,45,36,40,120,120,15,15,45,45,45,45,45,10,
36,36,36,15,15,120,45,10,10,10,36,15,15,15,15,15,15,10,10,10,15,15,6,6,10,6,6,
1,1],[1,90,1,40,45,15,15,45,45,45,45,36,40,240,15,15,45,45,45,45,45,10,72,36,
15,15,120,45,10,20,36,15,15,15,15,15,15,10,10,10,15,15,6,6,10,6,6,1,1],[1,1,
45,45,40,15,15,45,45,45,45,45,36,40,120,120,15,15,45,45,45,45,45,10,36,36,36,
15,15,120,45,10,10,10,36,15,15,15,15,15,15,10,10,10,15,15,6,6,10,6,6,1,1],[1,
30,45,40,15,15,135,45,45,36,120,40,120,15,15,45,45,45,45,45,10,36,15,15,120,
45,10,40,36,15,15,15,15,15,15,10,20,15,15,6,6,10,6,6,1,1],[1,2,54,1,27,27,64,
1,27,9,27,10,10,30,30,27,27,60,60,54,60,60,54,54,27,20,20,60,60,60,60,60,60,
120,120,12,12,24,24,64,128,9,18,54,20,20,20,20,60,60,60,60,60,60,120,120,60,
60,60,60,60,60,120,120,10,10,15,15,15,15,30,30,60,60,27,27,30,30,20,20,20,20,
60,60,30,30,30,30,60,60,60,60,60,60,60,60,60,60,60,60,12,12,12,12,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,6,6,12,12,12,12,24,24,
12,12,24,6,6,6,6,24,24,24,16,16,48,32,32,64,9,20,20,60,60,6,6,30,30,60,60,10,
10,10,10,30,30,60,60,60,60,15,15,15,15,30,30,30,30,60,60,60,60,60,60,30,30,3,
3,12,12,12,6,6,12,12,12,6,6,12,12,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,
12,12,12,24,24,24,24,12,12,12,12,12,12,12,12,24,24,24,24,12,12,12,12,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,6,6,12,6,6,12,6,6,12,6,6,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,16,16,32,32,32,32,32,32,32,
32,96,48,6,6,10,10,12,12,20,20,15,15,3,3,3,12,12,12,12,3,6,6,6,6,12,12,12,12,
24,12,12,12,12,12,12,24,3,6,4,8,12,6,6,6,6,6,6,6,6,12,12,12,12,6,6,6,6,6,6,6,
6,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,6,6,12,12,6,6,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,4,4,16,16,32,32,48,1,1,1,2,3,6,6,6,
6,6,6,6,6,12,12,12,12,12,12,12,12,3,3,6,6,3,6,4,4,8,8,4,8,3,3,3,6,4,4,4,8,1,
1],[1,2,54,1,32,27,27,16,1,27,5,15,16,10,6,18,30,15,15,36,60,30,36,60,54,54,
27,20,12,60,36,60,36,60,36,72,120,96,96,16,12,48,12,24,24,48,16,32,32,32,16,
16,32,5,10,30,20,12,12,20,36,60,60,36,60,12,120,24,60,12,12,60,60,12,120,24,
10,6,3,15,15,3,6,30,60,12,27,15,30,18,20,12,8,12,24,36,20,12,60,36,6,30,30,6,
12,60,12,60,12,60,12,60,12,60,36,60,48,16,96,12,12,12,12,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,48,48,24,24,24,48,48,24,24,48,48,48,96,
6,6,12,12,12,12,24,24,12,12,24,6,6,6,6,24,48,24,12,24,12,24,24,24,24,24,48,24,
24,24,4,8,8,16,16,16,32,32,32,32,16,16,16,16,5,20,12,12,60,6,30,60,10,6,4,6,
10,30,60,60,15,3,3,15,30,6,6,30,60,12,12,60,12,60,30,6,4,6,12,6,3,3,12,12,12,
6,6,12,12,12,6,6,12,6,12,12,12,6,6,6,6,6,6,6,6,12,12,6,12,24,12,12,24,24,12,
48,36,24,12,12,12,12,12,12,12,12,24,24,24,24,24,12,12,24,12,24,12,24,12,12,12,
12,12,12,12,12,24,24,24,24,12,12,24,12,12,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,48,24,48,24,24,24,24,24,24,6,6,12,6,6,12,12,12,12,12,24,
24,12,12,12,12,24,12,24,12,24,12,12,24,12,24,24,24,24,48,48,6,6,12,12,12,6,24,
24,24,24,24,24,4,4,8,8,8,8,8,8,16,4,8,8,8,8,8,16,8,16,16,16,16,16,16,16,6,10,
12,20,15,3,4,6,3,3,3,12,12,12,12,3,12,6,6,6,6,6,12,12,12,12,24,6,12,12,12,12,
12,12,12,12,24,3,6,8,24,6,6,6,6,12,12,6,6,6,6,12,12,12,12,12,12,12,24,24,24,
48,12,24,24,12,12,12,12,12,12,12,24,6,12,6,12,12,12,6,24,12,12,6,6,12,12,12,
12,12,12,12,6,6,6,12,12,12,12,12,12,6,6,6,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,1,4,4,8,8,4,8,8,8,8,8,8,8,8,8,4,4,8,8,4,4,8,16,
1,4,6,12,6,6,6,6,12,12,12,12,12,4,12,12,3,6,3,3,3,6,6,6,3,3,6,6,6,6,6,6,6,12,
12,12,12,12,12,12,12,1,2,1,1,2,2,2,4,4,8,4,4,8,4,4,4,4,3,3,3,6,6,6,6,6,1,1,1,
1,2,2,1,1,1,2,2,4,3,1,1,1,1,1,1,1,1],[1,2,54,1,32,27,27,16,1,27,5,15,16,6,10,
30,18,15,15,60,36,30,60,36,54,54,27,12,20,36,60,36,60,36,60,120,72,96,96,16,
12,48,12,24,24,48,16,32,32,32,16,16,32,5,10,30,12,20,20,12,60,36,36,60,12,60,
24,120,12,60,60,12,12,60,24,120,6,10,15,3,3,15,30,6,12,60,27,15,18,30,12,20,
12,8,36,24,12,20,36,60,30,6,6,30,60,12,60,12,60,12,60,12,60,12,60,36,48,16,96,
12,12,12,12,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,48,48,
24,24,48,24,24,48,24,48,48,96,48,6,6,12,12,12,12,24,24,12,12,24,6,6,6,6,24,48,
12,24,12,24,24,24,24,24,48,24,24,24,24,4,8,8,16,16,16,32,32,32,32,16,16,16,16,
5,12,20,60,12,6,30,60,6,10,6,4,10,30,60,60,3,15,15,3,6,30,30,6,12,60,60,12,60,
12,6,30,6,4,6,12,3,3,12,12,12,6,6,12,12,12,6,12,6,6,12,12,12,6,6,6,6,6,6,6,6,
12,12,6,24,12,12,12,24,12,24,48,24,36,12,12,12,12,12,12,12,12,24,24,24,24,12,
24,24,12,24,12,24,12,12,12,12,12,12,12,12,12,24,24,24,24,12,12,24,12,12,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,48,24,48,24,24,24,24,24,24,24,
6,6,12,6,6,12,12,12,12,12,24,24,12,12,12,12,12,24,24,24,12,12,12,12,24,24,24,
24,24,48,48,6,6,12,12,12,6,24,24,24,24,24,24,4,4,8,8,8,8,8,8,16,4,8,8,8,8,8,
16,8,16,16,16,16,16,16,16,6,10,12,20,3,15,6,4,3,3,3,12,12,12,12,3,6,12,6,6,6,
6,12,12,12,12,24,12,6,12,12,12,12,12,12,12,24,3,6,8,24,6,6,6,6,12,12,6,6,6,6,
12,12,12,12,12,12,24,12,24,24,48,24,12,24,12,12,12,12,12,12,24,12,6,12,12,6,
12,6,12,24,12,6,12,6,12,12,12,12,12,12,12,6,6,6,12,12,12,12,12,12,6,6,6,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,1,4,4,8,8,4,8,8,8,
8,8,8,8,8,8,4,4,8,8,4,4,8,16,1,4,6,6,12,6,6,6,12,12,12,12,12,4,12,12,3,6,3,3,
3,6,6,6,3,3,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,1,2,1,1,2,2,2,4,4,8,4,4,8,4,
4,4,4,3,3,3,6,6,6,6,6,1,1,1,1,2,2,1,1,1,2,2,4,3,1,1,1,1,1,1,1,1],[1,2,70,1,35,
35,1,35,5,15,10,10,30,30,15,15,60,60,30,60,60,70,70,35,20,20,60,60,60,60,60,
60,120,120,20,80,20,40,40,80,16,5,10,30,20,20,20,20,60,60,60,60,60,20,120,40,
60,20,20,60,60,20,120,40,10,10,5,15,15,5,10,30,60,20,35,15,30,30,20,20,20,20,
60,60,10,30,30,10,20,60,20,60,20,60,20,60,20,60,60,60,20,20,20,20,40,40,40,40,
40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,10,10,20,20,20,20,40,40,
20,20,40,10,10,10,10,40,40,40,40,40,80,40,40,80,16,16,32,16,32,5,20,20,20,60,
6,30,60,10,10,10,30,60,60,15,5,5,15,30,10,10,30,60,20,20,60,20,60,30,10,20,5,
5,20,20,20,10,10,20,20,20,10,20,10,20,20,10,10,10,10,10,10,10,10,20,20,20,20,
20,20,20,20,20,20,20,20,40,40,40,40,20,20,20,20,20,20,20,20,40,40,40,40,20,20,
20,20,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,10,10,20,10,
10,20,20,20,20,20,20,20,20,20,20,20,40,40,20,20,40,40,40,40,40,16,16,16,32,32,
32,32,6,10,12,20,15,5,5,5,5,20,20,20,20,5,10,10,10,10,20,20,20,20,40,20,20,20,
20,20,20,40,5,10,10,10,10,10,20,20,10,10,10,10,20,20,20,20,20,20,20,20,20,20,
10,10,20,20,10,20,10,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,16,
16,16,1,10,10,10,10,20,20,20,20,10,5,10,5,5,10,5,10,10,10,10,20,20,20,20,1,16,
5,5,5,10,10,1,1,2,1,2,5,1,1,1,2,2,2,2,1,1,1,1],[1,2,70,1,35,35,1,35,5,15,10,
10,30,30,15,15,60,60,30,60,60,70,70,35,20,20,60,60,60,60,60,60,120,120,20,80,
20,40,40,80,16,5,10,30,20,20,20,20,60,60,60,60,20,60,40,120,20,60,60,20,20,60,
40,120,10,10,15,5,5,15,30,10,20,60,35,15,30,30,20,20,20,20,60,60,30,10,10,30,
60,20,60,20,60,20,60,20,60,20,60,60,20,20,20,20,40,40,40,40,40,40,40,40,40,40,
40,40,40,40,40,40,40,40,40,40,40,40,10,10,20,20,20,20,40,40,20,20,40,10,10,10,
10,40,40,40,40,40,80,40,40,80,16,16,32,16,32,5,20,20,60,20,6,30,60,10,10,10,
30,60,60,5,15,15,5,10,30,30,10,20,60,60,20,60,20,10,30,20,5,5,20,20,20,10,10,
20,20,20,10,20,10,20,20,10,10,10,10,10,10,10,10,20,20,20,20,20,20,20,20,20,20,
20,20,40,40,40,40,20,20,20,20,20,20,20,20,40,40,40,40,20,20,20,20,40,40,40,40,
40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,10,10,20,10,10,20,20,20,20,20,
20,20,20,20,20,20,40,40,20,20,40,40,40,40,40,16,16,16,32,32,32,32,6,10,12,20,
5,15,5,5,5,20,20,20,20,5,10,10,10,10,20,20,20,20,40,20,20,20,20,20,20,40,5,10,
10,10,10,10,20,20,10,10,10,10,20,20,20,20,20,20,20,20,20,20,10,10,20,20,10,20,
10,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,16,16,16,1,10,10,10,
10,20,20,20,20,10,5,10,5,5,10,5,10,10,10,10,20,20,20,20,1,16,5,5,5,10,10,1,1,
2,1,2,5,1,1,1,2,2,2,2,1,1,1,1],[1,2,42,1,44,21,21,28,1,21,22,7,7,21,21,42,42,
42,42,42,42,21,126,126,22,42,42,42,42,28,56,56,56,28,28,56,8,7,7,21,21,21,14,
14,42,42,14,14,42,42,63,22,126,21,21,21,21,42,42,42,42,42,42,42,42,42,42,84,
84,84,21,21,21,63,21,42,42,84,7,7,28,28,28,56,56,56,56,28,28,28,28,8,16,16,7,
7,7,7,7,7,21,21,21,21,21,21,21,63,42,42,21,21,21,21,42,42,42,42,42,42,42,42,
21,21,21,42,21,21,21,21,21,21,8,7,7,7,7,14,14,14,14,7,7,14,14,14,14,28,28,28,
28,28,28,28,8,8,8,7,7,21,21,21,21,21,21,21,21,21,21,21,21,21,8,16,16,7,7,7,7,
14,14,14,14,7,7,14,14,14,14,7,7,7,7,7,7,7,7,28,8,21,8,8,8,7,7,7,7,7,7,7,7,7,7,
7,7,7,7,1,8,7,7,1,2,2,1,1,1,1],[1,1,60,45,45,40,30,15,15,45,45,45,270,270,90,
90,36,40,240,80,120,120,15,15,30,30,90,90,135,45,45,45,45,90,90,90,90,180,45,
45,90,90,10,36,36,36,15,15,40,120,240,240,120,15,15,45,45,45,45,45,90,90,90,
90,10,10,10,80,36,72,15,15,15,15,30,30,15,15,30,30,120,45,10,20,40,40,40,36,
15,15,30,30,30,30,15,15,15,15,6,6,10,20,40,15,15,6,6,12,12,10,6,6,1,1,2,1],[1,
2,90,1,45,45,40,1,45,15,15,45,45,90,90,90,90,90,90,45,90,90,36,40,80,120,120,
240,15,15,45,45,45,30,30,90,90,45,45,45,45,90,90,90,90,90,90,45,45,180,10,36,
36,72,36,72,15,15,120,120,240,240,40,15,15,45,45,45,45,45,90,90,90,90,10,20,
10,10,20,36,36,36,72,72,15,15,15,15,30,30,15,15,30,30,120,45,10,20,20,10,10,
20,20,36,15,15,15,15,30,30,30,30,15,15,6,6,10,10,40,10,15,15,6,6,12,12,10,6,6,
1,1,2,1],[1,2,90,1,45,45,40,1,45,90,90,45,15,15,45,45,45,45,45,45,90,90,90,90,
36,40,80,120,120,240,15,15,15,15,45,45,45,45,45,15,15,45,45,45,45,45,45,45,45,
45,45,45,45,45,45,45,45,45,45,45,45,90,90,10,36,36,72,36,72,15,15,120,120,240,
240,40,15,15,45,45,45,45,45,45,45,45,45,45,45,45,45,10,20,10,10,20,36,36,36,
72,72,15,15,15,15,15,15,15,15,15,15,15,15,15,15,120,45,10,20,20,10,10,20,20,
36,15,15,15,15,15,15,15,15,15,15,15,15,15,15,6,6,10,10,20,20,10,15,15,6,6,6,6,
6,6,10,6,6,1,1,1,1,1],[1,1,45,45,40,15,15,45,45,45,30,90,90,36,40,120,120,15,
15,45,45,45,45,45,45,135,10,36,36,36,15,15,120,40,120,15,15,45,45,45,45,45,10,
10,10,36,72,15,15,15,15,15,15,120,45,10,20,40,36,15,15,15,15,15,15,6,6,10,20,
15,15,6,6,10,6,6,1,1,1],[1,2,54,1,48,27,27,64,1,27,9,27,24,10,10,30,30,27,27,
60,60,54,60,60,54,54,27,20,20,60,60,60,60,60,60,120,120,120,120,24,12,120,12,
24,24,120,64,128,128,9,18,54,20,20,20,20,60,60,60,60,60,60,120,120,60,60,60,
60,60,60,120,120,10,10,15,15,15,15,30,30,60,60,27,27,30,30,20,20,12,12,36,36,
20,20,60,60,30,30,30,30,60,60,60,60,60,60,60,60,60,60,60,60,60,24,120,12,12,
12,12,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,120,120,24,
24,72,72,72,72,24,120,120,144,144,6,6,12,12,12,12,24,24,12,12,24,6,6,6,6,60,
60,36,36,36,36,60,24,24,24,72,72,24,24,24,48,16,16,48,32,32,64,64,64,9,20,20,
60,60,6,6,30,30,60,60,10,10,6,6,10,10,30,30,60,60,60,60,15,15,15,15,30,30,30,
30,60,60,60,60,60,60,30,30,6,6,18,18,3,3,12,12,12,6,6,12,12,12,6,18,18,6,12,
12,12,6,6,6,6,6,6,6,6,12,12,6,36,36,12,12,60,36,36,60,36,36,12,12,12,12,12,12,
12,12,24,24,24,24,36,36,36,36,36,36,36,36,12,12,12,12,12,12,12,12,24,24,24,24,
12,12,60,12,12,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,72,72,72,
72,24,24,24,24,24,24,6,6,12,6,6,12,6,6,12,6,6,12,12,12,12,12,12,12,12,12,36,
36,36,36,12,12,12,12,12,12,12,12,36,36,60,36,36,12,12,36,36,60,36,36,36,36,60,
72,72,72,72,6,6,12,12,12,6,24,24,24,24,24,24,24,24,24,32,32,96,16,16,32,32,32,
32,32,32,32,32,96,48,64,6,6,10,10,12,12,20,20,15,15,6,6,3,3,3,12,12,12,12,3,
18,18,6,6,6,6,12,12,12,12,24,18,18,12,12,12,12,12,12,12,24,3,6,4,8,12,12,12,
36,36,6,6,6,6,6,6,6,6,12,12,12,12,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,
12,12,12,36,36,36,36,36,36,72,72,36,36,60,12,12,12,12,12,12,12,12,12,12,36,36,
6,6,18,18,18,18,12,12,18,18,36,36,18,18,18,18,6,6,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,6,6,6,12,12,12,12,12,12,6,6,6,12,12,12,12,12,12,12,12,12,12,12,
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,
4,4,16,16,48,16,16,32,32,48,16,16,48,1,1,1,2,3,6,6,6,6,18,18,6,6,6,6,6,6,12,
12,12,12,12,12,12,12,18,18,6,6,18,18,18,18,3,3,6,6,3,3,3,3,3,6,6,6,6,6,6,3,3,
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,
12,12,12,12,12,12,4,4,8,8,8,8,4,8,16,16,48,6,6,3,3,3,3,3,3,6,3,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,4,4,4,4,4,4,4,8,4,4,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,2,90,1,60,
45,45,40,1,45,30,15,15,45,45,90,90,90,90,90,90,45,270,270,30,90,90,90,90,36,
40,80,240,80,120,120,240,15,15,45,45,45,30,30,90,90,30,30,90,90,135,30,270,45,
45,45,45,90,90,90,90,90,90,90,90,90,90,180,180,180,45,45,45,135,45,90,90,180,
10,36,36,72,36,72,15,15,40,120,120,240,240,240,240,40,40,120,120,15,15,15,15,
15,15,45,45,45,45,45,45,45,135,90,90,45,45,45,45,90,90,90,90,90,90,90,90,45,
45,45,90,45,45,45,45,45,45,10,20,10,10,20,80,36,36,36,72,72,72,72,15,15,15,15,
30,30,30,30,15,15,30,30,30,30,40,120,120,120,120,120,120,15,15,45,45,45,45,45,
45,45,45,45,45,45,45,45,10,20,20,10,10,20,20,40,40,40,40,36,36,36,15,15,15,15,
30,30,30,30,15,15,30,30,30,30,15,15,15,15,15,15,15,15,120,6,6,45,10,10,40,10,
20,20,40,40,40,36,15,15,15,15,15,15,15,15,15,15,15,15,15,15,6,6,12,12,12,12,
10,10,10,20,20,15,15,6,6,6,6,6,6,10,1,6,6,1,2,2,1,1,1,1],[1,2,150,1,75,75,160,
1,75,25,75,50,10,30,150,75,75,60,300,150,60,300,150,150,75,100,20,300,60,300,
60,300,60,120,600,60,60,120,120,96,160,320,160,160,320,25,50,150,100,20,20,
100,60,300,300,60,300,60,600,120,300,60,60,300,300,60,600,120,50,10,15,75,75,
15,30,150,300,60,75,75,150,30,100,20,100,20,300,60,30,150,150,30,60,300,60,
300,60,300,60,300,60,300,60,300,60,60,60,60,120,120,120,120,120,120,120,120,
120,120,120,120,120,120,120,120,120,120,120,120,120,120,30,30,60,60,60,60,120,
120,60,60,120,30,30,30,30,120,120,120,96,96,192,96,192,40,80,160,80,160,160,
160,320,320,160,25,100,20,60,300,30,6,30,150,300,60,50,10,50,10,30,150,60,300,
60,300,75,15,15,75,150,30,30,150,300,60,60,300,60,300,150,30,15,15,60,60,60,
30,30,60,60,60,30,30,60,60,30,30,30,30,30,30,30,30,60,60,60,60,60,60,60,60,60,
60,60,60,120,120,120,120,60,60,60,60,60,60,60,60,120,120,120,120,60,60,60,60,
120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,
120,30,30,60,30,30,60,30,30,60,30,30,60,60,60,60,60,60,60,60,60,60,60,60,60,
60,60,60,60,96,96,96,192,192,40,40,80,80,80,80,80,40,80,160,80,80,160,80,160,
160,80,320,160,160,30,6,50,10,60,12,100,20,75,15,15,15,15,60,60,60,60,15,30,
30,30,30,60,60,60,60,120,60,60,60,60,60,60,120,15,30,20,40,60,30,30,30,30,30,
30,30,30,60,60,60,60,30,30,30,30,30,30,30,30,60,60,60,60,60,60,60,60,60,60,60,
60,60,60,60,60,60,60,60,60,30,30,60,60,30,30,60,60,60,60,60,60,60,60,60,60,60,
60,60,60,96,10,20,40,40,80,80,80,80,80,80,80,80,80,40,160,80,160,16,16,32,5,1,
5,10,15,30,30,30,30,30,30,30,30,60,60,60,60,60,60,60,60,15,15,30,30,15,30,6,
20,10,40,20,10,10,20,20,40,40,80,16,16,32,32,32,32,32,15,15,15,30,6,6,12,6,12,
10,20,20,10,10,20,20,40,16,16,32,5,6,6,6,12,12,10,6,5,1],[1,2,150,1,75,75,160,
1,75,25,75,10,50,150,30,75,75,300,60,150,300,60,150,150,75,20,100,60,300,60,
300,60,300,600,120,60,60,120,120,96,160,320,160,160,320,25,50,150,20,100,100,
20,300,60,60,300,60,300,120,600,60,300,300,60,60,300,120,600,10,50,75,15,15,
75,150,30,60,300,75,75,30,150,20,100,20,100,60,300,150,30,30,150,300,60,300,
60,300,60,300,60,300,60,300,60,60,60,60,60,120,120,120,120,120,120,120,120,
120,120,120,120,120,120,120,120,120,120,120,120,120,120,30,30,60,60,60,60,120,
120,60,60,120,30,30,30,30,120,120,120,96,96,192,96,192,80,40,160,160,80,160,
160,320,320,160,25,20,100,300,60,6,30,150,30,60,300,10,50,10,50,150,30,300,60,
300,60,15,75,75,15,30,150,150,30,60,300,300,60,300,60,30,150,15,15,60,60,60,
30,30,60,60,60,30,30,60,60,30,30,30,30,30,30,30,30,60,60,60,60,60,60,60,60,60,
60,60,60,120,120,120,120,60,60,60,60,60,60,60,60,120,120,120,120,60,60,60,60,
120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,
120,30,30,60,30,30,60,30,30,60,30,30,60,60,60,60,60,60,60,60,60,60,60,60,60,
60,60,60,60,96,96,96,192,192,40,40,80,80,80,80,80,80,40,80,160,160,80,160,80,
80,160,320,160,160,6,30,10,50,12,60,20,100,15,75,15,15,15,60,60,60,60,15,30,
30,30,30,60,60,60,60,120,60,60,60,60,60,60,120,15,30,20,40,60,30,30,30,30,30,
30,30,30,60,60,60,60,30,30,30,30,30,30,30,30,60,60,60,60,60,60,60,60,60,60,60,
60,60,60,60,60,60,60,60,60,30,30,60,60,30,30,60,60,60,60,60,60,60,60,60,60,60,
60,60,60,96,20,10,40,40,80,80,80,80,80,80,80,80,40,80,80,160,160,16,16,32,1,5,
5,10,15,30,30,30,30,30,30,30,30,60,60,60,60,60,60,60,60,15,15,30,30,15,30,6,
10,20,20,40,10,10,20,20,40,40,80,16,16,32,32,32,32,32,15,15,15,30,6,6,12,6,12,
10,20,20,10,20,10,20,40,16,16,32,5,6,6,6,12,12,10,6,5,1],[1,2,150,1,80,75,75,
160,1,75,25,75,40,50,10,30,150,75,75,60,300,150,60,300,150,150,75,100,20,300,
60,300,60,300,60,120,600,360,360,40,60,360,60,120,120,360,96,160,320,320,320,
160,160,320,25,50,150,100,20,20,100,60,300,300,60,300,60,600,120,300,60,60,
300,300,60,600,120,50,10,15,75,75,15,30,150,300,60,75,75,150,30,100,20,60,20,
180,60,100,20,300,60,30,150,150,30,60,300,60,300,60,300,60,300,60,300,60,300,
180,40,360,60,60,60,60,120,120,120,120,120,120,120,120,120,120,120,120,120,
120,120,120,120,120,120,120,360,360,120,120,120,360,360,120,120,360,360,240,
720,30,30,60,60,60,60,120,120,60,60,120,30,30,30,30,180,180,180,60,180,60,180,
120,120,120,120,360,120,120,120,240,96,96,192,96,192,40,80,160,80,160,160,160,
160,320,320,320,320,160,160,160,160,25,100,20,60,300,30,6,30,150,300,60,50,10,
30,10,50,10,30,150,60,300,60,300,75,15,15,75,150,30,30,150,300,60,60,300,60,
300,150,30,30,10,90,30,15,15,60,60,60,30,30,60,60,60,30,30,90,30,60,60,60,30,
30,30,30,30,30,30,30,60,60,30,60,180,60,60,180,180,60,180,60,180,60,60,60,60,
60,60,60,60,120,120,120,120,180,60,60,180,60,180,60,180,60,60,60,60,60,60,60,
60,120,120,120,120,60,60,180,60,60,120,120,120,120,120,120,120,120,120,120,
120,120,120,120,120,120,120,120,120,360,120,360,120,120,120,120,120,120,30,30,
60,30,30,60,30,30,60,30,30,60,60,60,60,60,60,60,60,60,60,180,60,180,60,60,60,
60,60,60,60,60,180,60,180,60,180,60,60,180,60,180,60,180,180,60,180,120,360,
120,360,30,30,60,60,60,30,120,120,120,120,120,120,120,120,120,96,96,96,192,
192,192,192,40,40,80,80,80,80,160,80,80,320,40,80,80,160,80,80,160,80,160,160,
80,320,160,160,160,160,160,160,160,160,30,6,50,10,60,12,100,20,75,15,30,10,15,
15,15,60,60,60,60,15,90,30,30,30,30,30,60,60,60,60,120,30,90,60,60,60,60,60,
60,60,120,15,30,20,40,60,60,20,180,60,30,30,30,30,30,30,30,30,60,60,60,60,30,
30,30,30,30,30,30,30,60,60,60,60,60,60,60,60,60,60,60,60,60,180,180,60,180,60,
120,360,60,180,180,60,60,60,60,60,60,60,60,60,60,60,180,30,30,90,30,30,90,60,
60,90,30,60,180,30,90,90,30,30,30,60,60,60,60,60,60,60,60,60,60,60,60,60,60,
30,30,30,60,60,60,60,60,60,30,30,30,60,60,60,60,60,60,60,60,60,60,60,60,60,60,
60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,96,96,96,
10,20,40,40,80,80,40,80,80,80,80,80,80,80,80,160,80,80,40,40,160,80,160,40,80,
40,160,160,16,16,32,5,1,5,10,15,10,30,30,30,90,30,30,30,30,30,30,30,60,60,60,
60,60,60,60,60,90,30,10,30,90,30,90,30,15,15,30,30,15,15,15,15,15,30,30,30,30,
30,30,15,15,30,30,30,30,30,30,30,30,30,30,30,30,60,60,60,60,60,60,60,60,60,60,
60,60,60,60,60,60,60,60,60,60,60,60,60,60,6,96,20,10,40,20,10,10,20,40,20,20,
20,40,40,40,80,40,80,40,160,40,40,40,16,16,32,32,32,32,32,32,32,10,30,15,15,
15,15,15,15,30,15,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,6,6,12,6,12,
10,20,10,20,10,10,20,20,10,10,20,10,20,20,20,40,20,20,40,16,16,32,16,16,16,16,
5,15,15,15,15,15,15,6,6,6,12,12,12,12,10,10,10,10,10,10,20,10,20,16,16,15,6,6,
6,5,10,6,5,1,1],[1,2,150,1,80,75,75,160,1,75,25,75,40,10,50,150,30,75,75,300,
60,150,300,60,150,150,75,20,100,60,300,60,300,60,300,600,120,360,360,40,60,
360,60,120,120,360,96,160,320,320,320,160,160,320,25,50,150,20,100,100,20,300,
60,60,300,60,300,120,600,60,300,300,60,60,300,120,600,10,50,75,15,15,75,150,
30,60,300,75,75,30,150,20,100,20,60,60,180,20,100,60,300,150,30,30,150,300,60,
300,60,300,60,300,60,300,60,300,60,180,40,360,60,60,60,60,120,120,120,120,120,
120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,360,360,120,120,
360,120,120,360,120,360,360,720,240,30,30,60,60,60,60,120,120,60,60,120,30,30,
30,30,180,180,60,180,60,180,180,120,120,120,360,120,120,120,120,240,96,96,192,
96,192,80,40,160,160,80,160,160,160,320,320,320,320,160,160,160,160,25,20,100,
300,60,6,30,150,30,60,300,10,50,10,30,10,50,150,30,300,60,300,60,15,75,75,15,
30,150,150,30,60,300,300,60,300,60,30,150,10,30,30,90,15,15,60,60,60,30,30,60,
60,60,30,90,30,30,60,60,60,30,30,30,30,30,30,30,30,60,60,30,180,60,60,60,180,
60,180,180,180,60,60,60,60,60,60,60,60,60,120,120,120,120,60,180,180,60,180,
60,180,60,60,60,60,60,60,60,60,60,120,120,120,120,60,60,180,60,60,120,120,120,
120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,360,120,360,120,
120,120,120,120,120,120,30,30,60,30,30,60,30,30,60,30,30,60,60,60,60,60,60,60,
60,60,180,60,180,60,60,60,60,60,60,60,60,60,60,180,180,180,60,60,60,60,180,
180,180,60,60,180,180,360,120,360,120,30,30,60,60,60,30,120,120,120,120,120,
120,120,120,120,96,96,96,192,192,192,192,40,40,80,80,80,160,80,80,80,320,80,
40,80,80,160,160,80,160,80,80,160,320,160,160,160,160,160,160,160,160,6,30,10,
50,12,60,20,100,15,75,10,30,15,15,15,60,60,60,60,15,30,90,30,30,30,30,60,60,
60,60,120,90,30,60,60,60,60,60,60,60,120,15,30,20,40,60,20,60,60,180,30,30,30,
30,30,30,30,30,60,60,60,60,30,30,30,30,30,30,30,30,60,60,60,60,60,60,60,60,60,
60,60,60,180,60,60,180,60,180,360,120,180,60,180,60,60,60,60,60,60,60,60,60,
60,180,60,30,30,30,90,90,30,60,60,30,90,180,60,90,30,30,90,30,30,60,60,60,60,
60,60,60,60,60,60,60,60,60,60,30,30,30,60,60,60,60,60,60,30,30,30,60,60,60,60,
60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,
60,60,60,60,60,60,60,96,96,96,20,10,40,40,80,80,80,40,80,80,80,80,80,80,80,
160,80,40,80,40,80,160,160,40,40,80,160,160,16,16,32,1,5,5,10,15,30,10,30,30,
30,90,30,30,30,30,30,30,60,60,60,60,60,60,60,60,30,90,30,10,30,90,30,90,15,15,
30,30,15,15,15,15,15,30,30,30,30,30,30,15,15,30,30,30,30,30,30,30,30,30,30,30,
30,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,6,
96,10,20,20,40,10,10,20,20,40,20,20,40,40,40,80,40,40,80,160,40,40,40,16,16,
32,32,32,32,32,32,32,30,10,15,15,15,15,15,15,30,15,30,30,30,30,30,30,30,30,30,
30,30,30,30,30,30,30,6,6,12,6,12,10,10,20,10,20,10,20,20,10,20,10,10,20,20,20,
40,20,20,40,16,16,32,16,16,16,16,5,15,15,15,15,15,15,6,6,6,12,12,12,12,10,10,
10,10,10,10,10,20,20,16,16,15,6,6,6,5,10,6,5,1,1],[1,2,630,1,315,315,1120,1,
315,105,315,210,210,630,630,315,315,1260,1260,630,1260,1260,630,630,315,420,
420,1260,1260,1260,1260,1260,1260,2520,2520,1260,1260,2520,2520,2016,1120,
2240,3360,3360,6720,960,105,210,630,420,420,420,420,1260,1260,1260,1260,1260,
1260,2520,2520,1260,1260,1260,1260,1260,1260,2520,2520,210,210,315,315,315,
315,630,630,1260,1260,315,315,630,630,420,420,420,420,1260,1260,630,630,630,
630,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,
1260,1260,2520,2520,2520,2520,2520,2520,2520,2520,2520,2520,2520,2520,2520,
2520,2520,2520,2520,2520,2520,2520,2520,2520,630,630,1260,1260,1260,1260,2520,
2520,1260,1260,2520,630,630,630,630,2520,2520,2520,280,2016,2016,4032,2016,
4032,840,840,1680,1680,1680,3360,3360,6720,6720,1120,960,1920,105,420,420,
1260,1260,126,126,630,630,1260,1260,210,210,210,210,630,630,1260,1260,1260,
1260,315,315,315,315,630,630,630,630,1260,1260,1260,1260,1260,1260,630,630,
315,315,1260,1260,1260,630,630,1260,1260,1260,630,630,1260,1260,630,630,630,
630,630,630,630,630,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,
1260,2520,2520,2520,2520,1260,1260,1260,1260,1260,1260,1260,1260,2520,2520,
2520,2520,1260,1260,1260,1260,2520,2520,2520,2520,2520,2520,2520,2520,2520,
2520,2520,2520,2520,2520,2520,2520,2520,2520,2520,2520,630,630,1260,630,630,
1260,630,630,1260,630,630,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,
1260,1260,1260,1260,1260,1260,1260,280,560,280,280,560,2016,2016,2016,4032,
4032,960,840,840,840,840,1680,1680,1680,1680,1680,1680,1680,1680,1680,1680,
840,840,1680,1680,1680,1680,1680,1680,1680,1680,3360,1680,3360,960,126,126,
210,210,252,252,420,420,315,315,315,315,315,1260,1260,1260,1260,315,630,630,
630,630,1260,1260,1260,1260,2520,1260,1260,1260,1260,1260,1260,2520,315,630,
420,840,1260,630,630,630,630,630,630,630,630,1260,1260,1260,1260,630,630,630,
630,630,630,630,630,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,
1260,1260,1260,1260,1260,1260,1260,1260,1260,630,630,1260,1260,630,630,1260,
1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,280,560,560,
280,280,560,1120,1120,560,2016,960,1920,210,210,840,840,840,840,1680,1680,
1680,1680,1680,1680,1680,1680,1680,1680,1680,1680,1680,1680,1680,1680,840,840,
1680,1680,1680,336,336,336,672,672,21,21,105,210,315,630,630,630,630,630,630,
630,630,1260,1260,1260,1260,1260,1260,1260,1260,315,315,630,630,315,630,280,
560,560,1120,1120,280,1120,280,126,126,960,210,210,420,420,210,210,210,210,
420,420,420,840,840,840,1680,1680,336,336,336,672,672,672,672,672,672,672,672,
672,315,315,315,630,280,560,126,126,126,126,252,252,126,126,252,252,120,240,
210,210,420,420,420,420,210,210,210,210,420,840,336,336,336,672,672,105,280,
126,126,126,126,126,126,252,252,252,252,120,240,240,240,240,56,112,210,210,
126,126,120,240,56,112,112,112,112,105,56,112,21,21,1],[1,2,630,1,240,315,315,
1120,1,315,105,315,120,210,210,630,630,315,315,1260,1260,630,1260,1260,630,
630,315,420,420,1260,1260,1260,1260,1260,1260,2520,2520,2520,2520,120,1260,
2520,1260,2520,2520,2520,2016,1120,2240,6720,2240,3360,3360,6720,960,105,210,
630,420,420,420,420,1260,1260,1260,1260,1260,1260,2520,2520,1260,1260,1260,
1260,1260,1260,2520,2520,210,210,315,315,315,315,630,630,1260,1260,315,315,
630,630,420,420,420,420,1260,1260,420,420,1260,1260,630,630,630,630,1260,1260,
1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,120,2520,1260,1260,
1260,1260,2520,2520,2520,2520,2520,2520,2520,2520,2520,2520,2520,2520,2520,
2520,2520,2520,2520,2520,2520,2520,2520,2520,2520,2520,2520,2520,2520,2520,
2520,2520,2520,5040,5040,630,630,1260,1260,1260,1260,2520,2520,1260,1260,2520,
630,630,630,630,1260,1260,1260,1260,1260,1260,1260,2520,2520,2520,2520,2520,
2520,2520,2520,5040,280,2016,2016,4032,2016,4032,840,840,1680,1680,1680,1120,
3360,3360,6720,6720,6720,6720,1120,1120,3360,3360,960,1920,1920,105,420,420,
1260,1260,126,126,630,630,1260,1260,210,210,210,210,210,210,630,630,1260,1260,
1260,1260,315,315,315,315,630,630,630,630,1260,1260,1260,1260,1260,1260,630,
630,210,210,630,630,315,315,1260,1260,1260,630,630,1260,1260,1260,630,630,630,
630,1260,1260,1260,630,630,630,630,630,630,630,630,1260,1260,630,1260,1260,
1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,
1260,2520,2520,2520,2520,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,
1260,1260,1260,1260,1260,1260,2520,2520,2520,2520,1260,1260,1260,1260,1260,
2520,2520,2520,2520,2520,2520,2520,2520,2520,2520,2520,2520,2520,2520,2520,
2520,2520,2520,2520,2520,2520,2520,2520,2520,2520,2520,2520,2520,630,630,1260,
630,630,1260,630,630,1260,630,630,1260,1260,1260,1260,1260,1260,1260,1260,
1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,
1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,2520,2520,
2520,2520,630,630,1260,1260,1260,630,2520,2520,2520,2520,2520,2520,2520,2520,
2520,280,560,280,280,560,2240,2016,2016,2016,4032,4032,4032,4032,960,840,840,
840,840,1680,1680,1680,1680,1680,1680,1680,1680,1680,1680,1680,1680,3360,840,
840,1680,1680,1680,1680,1680,1680,1680,1680,1680,1680,3360,1680,1120,3360,
3360,3360,3360,3360,3360,960,960,960,126,126,210,210,252,252,420,420,315,315,
210,210,315,315,315,1260,1260,1260,1260,315,630,630,630,630,630,630,1260,1260,
1260,1260,2520,630,630,1260,1260,1260,1260,1260,1260,1260,2520,315,630,420,
840,1260,420,420,1260,1260,630,630,630,630,630,630,630,630,1260,1260,1260,
1260,630,630,630,630,630,630,630,630,1260,1260,1260,1260,1260,1260,1260,1260,
1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,2520,2520,1260,1260,1260,
1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,630,630,630,630,
630,630,1260,1260,630,630,1260,1260,630,630,630,630,630,630,1260,1260,1260,
1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,630,630,630,1260,1260,
1260,1260,1260,1260,630,630,630,1260,1260,1260,1260,1260,1260,1260,1260,1260,
1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,
1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,280,560,560,
280,280,560,1120,1120,560,1120,1120,1120,1120,2016,2016,2016,960,1920,1920,
210,210,840,840,840,840,1680,1680,1680,1680,840,840,1680,1680,1680,1680,1680,
1680,1680,1680,1680,1680,1680,1680,1680,1680,1680,1680,1680,840,840,840,840,
1680,1680,1680,840,840,840,840,1680,3360,960,336,336,336,672,672,21,21,105,
210,315,210,210,630,630,630,630,630,630,630,630,630,630,1260,1260,1260,1260,
1260,1260,1260,1260,630,630,210,210,630,630,630,630,315,315,630,630,315,315,
315,315,315,630,630,630,630,630,630,315,315,630,630,630,630,630,630,630,630,
630,630,630,630,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,
1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,280,560,560,1120,
1120,280,1120,280,560,560,1120,1120,1120,1120,126,126,2016,960,960,960,210,
210,420,420,210,210,210,210,420,420,420,420,420,420,420,840,840,840,840,840,
1680,1680,840,840,840,840,1680,840,840,840,840,840,840,336,336,336,672,672,
672,672,672,672,672,672,672,672,672,672,210,210,315,315,315,315,315,315,630,
315,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,280,280,
560,280,560,560,560,126,126,126,126,252,252,126,126,252,252,120,240,960,210,
210,210,210,210,210,210,210,420,420,420,420,210,210,210,210,210,210,420,420,
420,420,420,840,420,420,840,840,336,336,336,672,672,336,336,336,336,336,336,
105,315,315,315,315,315,315,280,280,280,126,126,126,126,126,126,252,252,252,
252,252,252,252,252,120,240,240,240,240,240,56,112,210,210,210,210,210,210,
210,210,210,210,210,210,210,210,420,336,336,336,315,280,126,126,126,126,126,
126,120,120,120,240,56,112,112,112,112,112,105,210,210,126,126,120,56,56,112,
56,105,56,21,21,21,21,1,1]],
[1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,5,6,6,6,6,6,6,6,7,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,9,10,10,
10,10,10,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,14,14,14,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
18,18,18,18,18,18,20,20,20,20,20,20,20,21,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
28,28,28,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,36,36,36,36,36,36,36,36,36,36,36,36,36,40,40,40,42,42,42,
48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,
48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,56,60,60,60,60,60,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,72,72,72,72,72,72,72,72,72,72,72,72,72,72,80,80,80,84,84,84,96,96,
96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,
96,96,96,96,96,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,144,144,144,144,144,144,144,160,160,160,160,160,
160,160,160,160,160,168,168,168,192,192,192,192,192,192,192,192,192,192,192,
192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,240,240,
240,240,240,240,240,240,240,240,240,256,256,256,256,256,256,256,288,288,288,
320,320,320,320,320,320,320,320,320,320,320,320,320,320,336,336,336,336,336,
336,360,360,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,480,
480,480,512,576,640,640,640,640,640,640,672,672,672,672,720,720,720,720,720,
720,768,768,768,1280,1280,1344,1440,1440,1440,1440,1536,2880,3840,3840,7680,
7680,80640,161280],
[1059,1058,974,1059,1033,1024,1024,919,1059,1024,1052,1024,1047,1043,1044,976,
975,1024,1024,892,891,974,889,890,974,974,1024,1014,1015,891,892,891,892,891,
892,736,735,772,805,1047,893,805,898,785,785,772,837,919,828,476,829,728,728,
477,934,1052,1042,974,1014,1015,1015,1014,892,891,891,892,891,892,735,736,891,
892,892,891,891,892,735,736,1043,1044,1024,1024,1024,1024,976,975,891,892,
1024,1024,975,976,1014,1015,1009,1008,906,905,1014,1015,891,892,974,979,974,
978,892,891,892,891,889,890,889,890,892,891,892,891,898,1047,806,898,898,898,
898,784,784,784,784,785,785,785,785,785,785,785,785,785,785,785,785,785,785,
785,785,805,805,784,784,772,772,772,772,772,772,772,513,514,978,979,892,892,
891,891,785,785,897,897,785,980,976,975,980,898,898,906,905,906,905,898,772,
772,784,761,760,785,784,772,663,1025,837,837,681,837,681,961,962,867,861,862,
919,728,728,476,476,477,477,919,919,728,728,934,839,838,1052,1014,1015,892,
891,1045,1046,978,979,891,892,1043,1044,1043,1044,1043,1044,976,975,892,891,
889,890,1024,1024,1024,1024,974,974,974,974,891,892,892,891,892,891,975,976,
1043,1044,975,976,1024,1024,897,891,892,974,974,891,892,897,980,976,975,980,
891,892,898,975,976,975,976,978,979,978,979,892,891,980,898,898,891,892,898,
898,898,898,898,898,892,892,891,891,892,892,891,891,785,785,785,785,906,905,
905,906,905,906,905,906,892,891,891,892,892,891,892,891,785,785,785,785,898,
898,898,898,898,785,785,785,785,785,785,785,785,784,784,784,784,784,784,784,
784,785,785,761,760,761,760,772,772,772,772,785,785,978,978,892,979,979,891,
975,975,891,976,976,892,891,891,892,892,892,892,891,891,905,906,900,899,892,
892,891,891,891,891,892,892,898,898,898,898,898,898,898,898,898,898,905,906,
902,901,898,761,760,761,760,980,980,898,898,898,980,792,791,789,772,772,772,
772,772,772,1025,983,1025,1025,983,829,837,837,837,681,681,682,683,934,961,
962,961,962,858,857,862,861,861,862,860,859,862,862,861,861,713,961,962,860,
859,862,861,857,858,861,862,862,861,722,867,919,728,728,728,728,728,728,934,
934,934,1045,1046,1043,1044,1026,1027,1014,1015,1024,1024,1043,1044,1024,1024,
1024,891,892,892,891,1024,975,976,974,974,974,974,891,892,891,892,785,976,975,
892,891,892,891,898,898,898,785,1024,974,1020,958,903,1009,1008,906,905,975,
976,975,976,975,976,976,975,892,891,891,892,978,979,978,979,979,978,979,978,
892,891,892,891,892,891,892,891,892,892,891,891,898,898,906,905,906,905,761,
760,898,898,898,898,898,892,892,891,891,892,891,892,891,898,898,975,976,975,
976,976,975,892,891,975,976,889,890,976,975,975,976,978,979,892,892,891,891,
892,891,892,892,891,891,891,892,891,892,980,980,980,898,898,898,898,898,898,
980,980,980,898,898,898,898,898,905,905,906,906,906,906,905,905,905,906,905,
906,909,910,907,908,898,898,898,908,907,909,910,906,905,906,905,893,898,903,
904,898,1025,983,983,1025,1025,982,917,917,981,920,915,919,919,837,837,837,
934,838,839,1044,1043,962,961,962,961,859,860,860,859,961,962,858,857,857,858,
861,862,861,862,861,862,861,862,862,861,867,862,861,962,961,962,961,862,861,
867,962,961,962,961,867,728,934,1021,1022,1023,967,966,1057,1056,1052,1042,
1024,1044,1043,976,975,975,976,976,975,978,979,978,979,891,892,891,892,892,
891,892,891,975,976,1044,1043,975,976,975,976,1024,1024,974,974,1024,1024,
1024,1024,1024,976,975,976,975,976,975,1024,1024,974,975,976,980,980,980,978,
979,975,976,976,975,908,907,908,907,909,910,909,910,898,898,906,905,905,906,
905,906,906,905,904,903,904,903,898,898,1025,983,983,917,917,1025,916,1025,
982,982,919,919,915,921,1045,1046,837,934,934,934,1043,1044,1014,1015,1043,
1043,1044,1044,1014,1015,1009,1008,1009,1008,1020,958,961,962,962,961,861,862,
962,961,962,961,867,962,961,962,961,961,962,1021,1022,1023,964,963,966,967,
966,967,967,966,965,968,969,970,1044,1043,1024,1024,1024,1024,1024,1024,974,
1024,975,976,976,975,980,980,976,975,978,979,979,978,975,976,976,975,1025,
1025,983,1025,982,982,981,1045,1046,1045,1046,1026,1027,1045,1046,1026,1027,
1047,1035,934,1043,1044,1043,1044,1043,1044,1044,1043,1014,1014,1015,1015,
1044,1043,1044,1043,1044,1043,1009,1009,1008,1008,1020,958,1020,1020,961,962,
1021,1022,1023,966,967,1021,1022,1023,1023,1021,1022,1052,1024,1024,1024,1024,
1024,1024,1025,1025,1025,1045,1046,1045,1046,1045,1046,1026,1027,1027,1026,
1031,1030,1028,1029,1047,1033,1035,1035,1035,1034,1053,1050,1044,1043,1044,
1043,1043,1044,1044,1043,1043,1044,1043,1044,1043,1044,1020,1021,1022,1023,
1024,1025,1045,1046,1045,1046,1046,1045,1047,1047,1047,1035,1053,1050,1050,
1050,1049,1048,1052,1043,1044,1045,1046,1047,1053,1053,1050,1053,1052,1053,
1056,1057,1056,1057,1059,1059],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,8,8,8,8,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
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,
1,1,1,4,4,7,7,7,7,7,7,7,7,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,6,6,7,7,7,7,7,7,7,7,
7,6,6,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,7,1,1,47,47,
47,1,1,15,14,11,29,28,8,8,8,8,8,8,8,8,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
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,
1,1,1,1,1,1,1,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,6,6,6,4,4,4,3,3,3,3,3,3,3,3,3,3,3,
3,7,7,7,7,7,7,7,7,3,3,3,3,3,3,3,3,3,3,3,3,7,7,7,7,7,3,3,3,3,3,3,3,3,7,7,7,7,7,
7,7,7,3,3,6,6,6,6,7,7,7,7,3,3,7,7,7,7,7,7,7,7,7,7,7,7,3,3,3,3,3,3,3,3,7,7,7,7,
3,3,3,3,3,3,3,3,6,6,4,4,4,6,4,7,7,6,7,7,7,7,7,6,6,6,6,7,7,1,6,4,7,7,7,1,7,7,7,
7,7,7,1,1,190,190,190,8,1,47,47,47,47,47,47,55,196,197,196,197,197,196,200,
199,199,200,196,197,200,200,199,199,198,15,14,15,14,28,29,15,14,29,28,28,29,
11,11,48,48,4,48,8,8,8,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,7,7,7,7,7,7,7,7,7,7,3,3,
3,3,3,3,3,3,3,6,6,3,3,3,3,7,7,7,3,1,1,4,2,6,14,15,14,15,18,19,18,19,18,19,19,
18,19,18,18,19,19,18,19,18,18,19,18,19,19,18,19,18,19,18,19,18,19,19,18,18,27,
27,17,16,17,16,16,17,27,27,27,27,27,19,19,18,18,19,18,19,18,27,27,7,7,7,7,7,7,
3,3,6,6,6,6,7,7,4,4,7,7,7,7,7,7,3,3,3,3,3,3,3,3,3,3,7,27,27,27,27,27,27,27,27,
27,27,7,7,7,7,4,6,16,16,17,17,14,14,15,15,19,18,19,18,18,19,19,18,27,27,27,18,
19,18,19,7,7,7,7,7,27,4,6,27,190,190,190,190,1,190,190,190,190,190,190,8,8,47,
47,47,55,55,55,231,230,197,196,197,196,197,196,196,197,196,197,197,196,196,
197,199,200,199,200,199,200,199,200,200,199,198,200,199,14,15,14,15,28,29,11,
14,15,197,196,198,48,4,730,731,732,733,734,1,1,4,2,6,15,14,19,18,27,27,19,18,
19,18,19,18,18,19,18,19,19,18,19,18,17,16,15,14,27,27,17,16,7,7,3,3,7,19,18,
18,19,15,14,19,18,16,17,7,7,3,27,27,27,27,27,19,18,14,15,16,17,104,106,104,
106,104,106,104,106,27,27,86,85,85,86,85,86,86,85,170,170,170,170,27,27,190,
190,190,190,190,190,190,190,190,190,48,427,430,190,220,221,194,55,55,55,230,
231,230,231,688,688,687,687,688,687,688,687,230,231,525,526,196,197,197,196,
199,200,459,458,459,458,471,79,80,459,458,196,197,730,731,732,731,730,734,733,
734,733,733,734,732,730,731,732,80,79,18,19,90,90,90,90,58,27,238,239,239,238,
170,170,85,86,106,104,104,106,86,85,80,79,430,190,190,430,427,429,190,835,836,
835,836,835,836,220,221,220,221,932,933,212,230,231,688,687,688,687,687,688,
688,688,687,687,687,688,231,230,231,230,688,688,687,687,525,526,855,855,458,
459,730,731,732,734,733,730,731,732,732,730,731,215,238,239,259,240,241,258,
427,671,429,220,221,835,836,835,836,835,836,836,835,835,836,835,836,932,932,
933,933,933,932,1004,1005,842,841,687,688,841,842,687,688,688,687,484,485,841,
842,855,874,875,876,784,821,835,836,835,836,836,835,932,932,932,933,1004,1005,
1005,1005,1004,1004,974,841,842,928,929,998,1004,1004,1005,1004,1042,1036,
1054,1055,1054,1055,1058,1058],
[ (  3,252,273)(  4, 62,142)(  5,283,160)(  6, 56, 79)(  7, 21,  9)
    (  8, 94,335)( 10,109, 41)( 11, 20,289)( 12,260,135)( 13,223, 99)
    ( 14, 39,309)( 15, 72, 17)( 16,147,270)( 18,254,192)( 19,110,132)
    ( 22, 26,162)( 23,314,249)( 24,325,205)( 25, 29, 48)( 27,175,256)
    ( 28,204,127)( 30,188,287)( 31,226, 76)( 32,170, 38)( 33,172,181)
    ( 34,102,332)( 35, 89,105)( 36,285, 40)( 37,182, 52)( 42,140,130)
    ( 43,144,141)( 44,178, 49)( 45,156, 60)( 46,255,313)( 47, 64,154)
    ( 50,253,124)( 51,267,167)( 53,208,186)( 54,318,169)( 55,212,159)
    ( 57,264,131)( 58,306,228)( 59, 61,261)( 63,187,165)( 65, 90,152)
    ( 66,122,180)( 67,233,184)( 68, 98,315)( 70,247,195)( 71,329,218)
    ( 73,190,336)( 75,106,103)( 77,275,257)( 78,278,328)( 80,196,149)
    ( 81,136,161)( 82,115,296)( 84,299,100)( 86,310,269)( 87,201,317)
    ( 88,303,191)( 91,193, 97)( 92,259,134)( 93,232,108)( 95,119,301)
    ( 96,179,114)(101,304,263)(107,274,139)(112,243,171)(113,331,305)
    (116,236,282)(117,277,219)(118,279,227)(120,202,194)(121,146,294)
    (123,224,280)(125,312,316)(126,189,234)(128,166,163)(129,206,250)
    (133,185,324)(137,155,240)(138,145,183)(143,251,220)(148,238,333)
    (150,330,265)(151,198,216)(153,307,266)(157,176,284)(158,258,197)
    (164,217,237)(168,173,246)(174,297,321)(177,213,308)(199,272,268)
    (200,229,295)(203,239,326)(207,311,209)(210,230,221)(211,302,281)
    (214,244,225)(215,293,235)(222,241,286)(231,262,271)(242,322,248)
    (245,323,276)(288,290,320)(292,319,300), 
  (  1,153, 21,136, 13,198,312, 71,285, 74, 19,193, 28,184)(  2,281,240,321,
      84,211, 94,178,109,283,189, 37,303, 34,104,289, 39, 92,180, 11,186,245,
     230,270,326,156, 76,243)(  3,121,119, 50, 58,246,228,177,171,100,197,239,
     162,234,105,142,336,250,274, 43,107,231,102,122,290,126,331,203)
    (  4,139,210, 35, 29,187,167,  5, 82,318, 17,297,117,258,146,306, 10,252,
      77,195, 72,147,185,138, 51,134, 47,288)(  6,313,295,329,261,125, 67,279,
     215,132,161,106,  7, 55)(  8, 87,181, 85,157, 18,129, 49,217,112,219,158,
     14, 45,208,280, 24,291, 57,268,253,323, 86,332,154,320,155, 52)
    (  9,218, 38,319, 79,202, 99,251,179,216, 23, 46,175,248)( 12, 88, 89,296,
     190,149, 44,304, 90,284,315, 41,150,309,265,226,273,133, 95,263,276,196,
     241,131,328,221,260,137)( 15,305, 31,259, 66,298, 64, 20,257,183,173, 65,
     172, 98,267, 22,191,174,299, 83,277,302, 25, 54,141,222,205,278)
    ( 16, 53,301,308,330,324,152, 33,192,310,182, 62, 63,164,160,335, 73,271,
     135,115,286,325,272,237, 60,294,247,269)( 26, 48,201,176,254,144,317,327,
     68,124,145,101, 70,262,113,275,123,264,199,168,224,111, 78,206,169, 80,
     165,213)( 27,225,293,188,242, 56,214,220,212, 61,316, 91,238,159)
    ( 30,166,151,334,249,322, 32,194, 69,223,311,130,266, 40)( 36,110,116,143,
     97,209,128,127,114,333,233,307,256,292)( 42,227,207,244,148,282, 93,163,
     235,287,120, 75, 59,314)( 81,103,229, 96,232,255,170,140,118,108,300,200,
     236,204) ],
[[[[]]],[[[1,-1,2,-3],[1,1,2,-1,1,1,2,2],[4,1,3,-1,4,1,3,-1,4,1,3,-1]]],[[[2,
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2,1],[3,-4]]],[[[1,1]]],[[[1,1,2,1],[2,1,1,1,2,-1],[3,2],[5,1,4,-1,5,1],[3,1,
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1,4,1,5,1,4,-1]],[[1,1,2,1],[2,1,1,1,2,-1],[4,1,3,-1,4,-1,3,1]],[[1,1,2,1],[3,
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1,2,-1],[3,3,1,1,3,-1,1,1]],[[2,2,1,1,2,-1],[3,1,1,1,3,2,1,-1,3,-1,1,-1]],[[2,
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1,1,2,-1],[3,2],[5,-2,4,-1,5,-1,4,1]],[[1,1,2,1],[2,1,1,1,2,-1],[3,2],[4,1,5,
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1],[5,1,6,-1,5,1,6,-1]],[[1,1,2,1],[2,1,1,1,2,-1],[4,1,3,2,4,1,3,1]],[[1,1,2,
1],[2,1,1,1,2,-1],[3,2],[4,1,3,-1,4,-1,5,-1,4,1,5,-1]]],[[[2,2,1,1,2,-1],[1,1,
3,1],[1,-1,4,-1,3,-1,4,2,3,1]],[[2,2,1,1,2,-1],[3,1,1,-1,3,1],[1,1,3,1,4,
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1,1,-1,3,1,1,1,3,-2]],[[2,2,1,1,2,-1],[3,1,1,1,3,2,1,-1,3,-1]],[[2,2,1,1,2,
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1],[2,1,1,1,2,-1],[3,2],[5,1,4,1,5,-2,4,-1,5,-1]],[[1,1,2,1],[2,1,1,1,2,-1],[
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1]]],[[[2,2,1,1,2,-1],[1,-1],[1,1,3,-2,4,1,3,-1,1,1,3,-1,4,-1]],[[2,2,1,1,2,
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1]]],[[[2,2,1,1,2,-1],[1,1,3,1],[3,1,1,-1,3,1,4,1,1,1,4,-1,3,-1,4,-1]],[[2,2,
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3,1,4,1]]],[[[2,2,1,1,2,-1],[1,-1,3,-4,1,1]],[[2,2,1,1,2,-1],[3,1,1,1,3,1],[4,
1,1,-1,4,1]],[[2,2,1,1,2,-1],[1,1,3,-4,1,-1]]],[[[1,1,2,1],[2,1,1,1,2,-1],[3,
2],[4,1,3,-1,5,-1,4,-1,3,1,5,1]],[[1,1,2,1],[2,1,1,1,2,-1],[4,-1,3,-4,4,1]],[[
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3,1],[5,1,4,1,5,1,4,1]],[[2,2,1,1,2,-1],[3,2,1,1,3,-1,1,-1,3,-1]]],[[[2,2,1,1,
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3,1,4,1],[5,1,6,-1,5,1,6,-1]],[[1,1,2,1],[2,1,1,1,2,-1],[3,2],[5,1,3,1,4,1,5,
1,4,1,5,-1]],[[1,1,2,1],[3,-4]]],[[[2,2,1,1,2,-1],[1,-1],[1,1,3,1],[4,1,5,-1,
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3,1]],[[1,1,2,1],[2,1,1,1,2,-1],[4,1,3,-2,4,1,3,1]],[[1,1,2,1],[2,1,1,1,2,
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1]],[[2,2,1,1,2,-1],[3,2,1,1,3,-1,1,-1,3,-1]]],[[[2,2,1,1,2,-1],[1,-1,3,-4,1,
1]],[[2,2,1,1,2,-1],[3,2,1,1,3,-1,1,-1,3,-1]],[[2,2,1,1,2,-1],[1,1,3,-4,1,
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-1],[3,2],[4,1,5,-2,4,-1,5,-2]],[[1,1,2,1],[2,1,1,1,2,-1],[3,2],[3,1,4,-1,5,1,
4,1,3,1,5,1]],[[1,1,2,1],[3,2],[3,1,2,1,1,-1,2,-1],[5,1,4,-2,5,-1]]],[[[1,1,2,
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-1],[3,2],[5,1,3,1,4,-1,3,-1,4,1,5,-1]],[[1,1,2,1],[2,1,1,1,2,-1],[4,-1,3,-4,
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1,4,1]],[[1,1,2,1],[3,2],[3,1,2,1,1,-1,2,-1],[5,1,4,-2,5,-1]]],[[[1,1,2,1],[2,
1,1,1,2,-1],[3,2],[4,1,3,1,4,1],[6,1,5,-1,6,1,5,1]],[[1,1,2,1],[2,1,1,1,2,
-1],[3,2],[5,1,3,1,4,-1,3,-1,4,1,5,-1]],[[1,1,2,1],[2,1,1,1,2,-1],[4,-1,3,-4,
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1,1,2,-1],[3,1,4,-1,3,3,4,1]],[[1,1,2,1],[2,1,1,1,2,-1],[3,2],[5,1,4,-1,5,-1,
4,1,5,1]]],[[[1,1,2,1],[2,1,1,1,2,-1],[3,2],[3,1,4,-1,5,-1,4,1,3,1,5,1]],[[1,
1,2,1],[2,1,1,1,2,-1],[4,-1,3,-1,4,1,3,1]],[[1,1,2,1],[2,1,1,1,2,-1],[3,2],[4,
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5,1]],[[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],[2,1,1,1,2,-1],[3,2],[5,-2,4,-1,5,-2,4,1]]],[[[1,1,2,1],[3,2],[3,1,2,1,1,1,
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2,3,1,4,1,1,1,3,-2]],[[2,2,1,1,2,-1],[1,1,3,1],[1,-1,3,1,4,2]],[[2,2,1,1,2,
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3,1]],[[2,2,1,1,2,-1],[3,1,1,-1,3,1],[1,1,3,1,4,2]],[[2,2,1,1,2,-1],[1,-1],[1,
1,3,1],[4,1,3,1,5,2,4,1]]],[[[2,2,1,1,2,-1],[1,-1,3,-4,1,1]],[[2,2,1,1,2,-1],[
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2,1,1,2,-1],[1,1,3,1],[3,1,4,1],[5,1,4,1,5,1,4,1]]],[[[2,2,1,1,2,-1],[1,-1],[
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1],[2,1,1,1,2,-1],[4,-1,3,-4,4,1]],[[1,1,2,1],[2,1,1,1,2,-1],[3,2],[5,1,4,-1,
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2,1,1,2,-1],[3,1,1,-1,3,1,1,1,3,2]],[[2,2,1,1,2,-1],[3,-4]]],[[[2,2,1,1,2,
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1,1,2,-1],[1,-1,3,-4,1,1]]],[[[1,1,2,1],[2,1,1,1,2,-1],[3,2],[4,1,3,1,4,1],[6,
1,5,1,6,1,5,-1]],[[1,1,2,1],[3,2],[2,1,1,-1,2,-1,3,1],[4,1,5,2,4,1]],[[1,1,2,
1],[3,2],[3,1,2,1,1,-1,2,-1],[5,1,4,-2,5,-1]]],[[[2,2,1,1,2,-1],[1,-1],[3,1,1,
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1,4,1],[6,1,5,-2,6,-1]],[[1,1,2,1],[2,1,1,1,2,-1],[3,2],[5,1,4,-1,5,1,4,1,5,
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1,-1,3,1],[4,1,5,1,4,1,5,1]],[[2,2,1,1,2,-1],[3,-4]],[[2,2,1,1,2,-1],[3,1,1,1,
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1]],[[2,2,1,1,2,-1],[1,-1,3,1,1,1,3,2,1,-1,3,1]],[[2,2,1,1,2,-1],[3,1,1,-1,3,
2,1,1,3,1,1,-1]]],[[[1,1,2,1],[2,1,1,1,2,-1],[3,2],[5,1,4,1,5,-2,4,-1,5,1]],[[
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1,2,-1],[3,2,1,-1,3,1,1,1]],[[2,2,1,1,2,-1],[3,2,1,1,3,-1,1,-1,3,-1]]],[[[2,
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2]],[[1,1,2,1],[2,1,1,1,2,-1],[4,1,3,1,4,1],[5,2,3,2]]],[[[1,1,2,1],[2,1,1,1,
2,-1],[3,2],[5,1,4,1,5,-2,4,-1,5,-1]],[[1,1,2,1],[2,1,1,1,2,-1],[3,-1,4,1,3,
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3,-1,1,1,3,-1,1,-1,3,-2]],[[2,2,1,1,2,-1],[3,2,1,-1,3,-1,1,1,3,-1]]],[[[2,2,1,
1,2,-1],[1,-1],[4,1,3,-2,1,-1,3,-1,1,1,3,-1,4,-1]],[[2,2,1,1,2,-1],[3,-4]],[[
2,2,1,1,2,-1],[1,-1,3,-4,1,1]]],[[[2,2,1,1,2,-1],[1,-1],[4,1,3,-2,1,-1,3,-1,1,
1,3,-1,4,-1]],[[2,2,1,1,2,-1],[3,-4]],[[2,2,1,1,2,-1],[1,-1,3,1,1,1,3,2,1,-1,
3,-1]]],[[[2,2,1,1,2,-1],[1,-1,3,-4,1,1]],[[2,2,1,1,2,-1],[3,2,1,1,3,1,1,-1,3,
1]],[[2,2,1,1,2,-1],[3,-4]]],[[[1,1,2,1],[2,1,1,1,2,-1],[3,2],[4,1,5,-2,4,-1,
5,-2]],[[1,1,2,1],[2,1,1,1,2,-1],[4,1,3,1,4,-1,3,1,4,-1,3,2]],[[1,1,2,1],[2,1,
1,1,2,-1],[4,-1,3,-4,4,1]]],[[[2,2,1,1,2,-1],[1,-1],[1,1,3,2,4,-1,3,1,1,-1,3,
1,4,1]],[[2,2,1,1,2,-1],[3,-4]],[[2,2,1,1,2,-1],[1,-1],[4,1,3,2,1,-1,3,-1,1,1,
3,-1,4,-1]]],[[[2,2,1,1,2,-1],[1,1,3,1],[4,1,1,-1,3,-2,4,1,3,1,1,-1,3,1]],[[2,
2,1,1,2,-1],[1,1,3,1],[4,1,1,-1,3,1,4,1,3,1,1,1]],[[2,2,1,1,2,-1],[3,2,1,-1,3,
-1,1,1,3,-1]]],[[[2,1],[3,2],[1,1,2,-1,1,-1,2,-1,1,1,4,2]],[[2,1],[3,1,1,1,2,
-1,1,-1,2,-1,1,1,3,1]],[[2,1],[1,-1,2,1,1,1,2,1,1,-1],[4,1,3,2,4,-2]]],[[[2,
1],[1,-1,2,1,1,1,2,1,1,-1],[3,2],[3,1,4,-1,5,-1,3,1,4,-2,5,1]],[[1,-1,2,1,1,1,
2,1,1,-1],[3,-2]],[[2,1],[1,-1,2,1,1,1,2,1,1,-1],[3,1,4,-1,3,1,4,1,3,2]]],[[[
1,1,2,1],[3,2],[3,1,2,1,1,1,2,-1],[5,1,4,1,5,1,4,1]],[[1,1,2,1],[2,1,1,1,2,
-1],[4,1,3,-1,4,1,3,1,4,1]],[[1,1,2,1],[2,1,1,1,2,-1],[3,2],[5,1,4,1,5,-2,4,
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1],[3,1,1,1,2,-1,1,-1,2,-1,1,1,3,1]],[[2,1],[3,1,1,-1,2,1,1,1,2,1,1,-1,3,
-3]]],[[[2,2,1,1,2,-1],[1,1,3,2,1,1,3,1,1,-1,3,1]],[[2,2,1,1,2,-1],[3,2,1,-1,
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LIBTOM( "2^2.L3(4)",
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20,35,47,49,144],[1,5,7,8,20,34,38,41,43,145],[1,5,7,8,19,33,37,42,44,146],[1,
5,6,7,16,22,43,46,47,147],[1,5,6,7,17,22,44,45,48,148],[1,6,7,8,18,31,34,35,
49,149],[1,6,7,8,18,32,33,36,50,150],[1,5,6,7,15,18,44,45,48,151],[1,5,6,7,14,
18,43,46,47,152],[1,5,6,8,13,26,37,42,51,153],[1,5,6,8,12,26,38,41,52,154],[1,
5,6,7,8,26,31,34,38,47,49,52,155],[1,5,6,7,8,26,32,33,37,48,50,51,156],[1,5,6,
7,8,19,30,38,43,47,49,52,157],[1,5,6,7,8,20,29,37,44,48,50,51,158],[1,5,6,7,8,
18,29,36,45,48,50,51,159],[1,5,6,7,8,18,30,35,46,47,49,52,160],[1,5,6,7,8,11,
32,36,40,48,50,51,161],[1,5,6,7,8,11,31,35,39,47,49,52,162],[1,5,6,7,8,22,39,
41,43,47,49,52,163],[1,5,6,7,8,22,40,42,44,48,50,51,164],[1,5,6,7,8,19,34,41,
46,47,49,52,165],[1,5,6,7,8,20,33,42,45,48,50,51,166],[1,5,7,8,19,58,167],[1,
5,7,8,20,58,168],[1,5,7,8,19,57,169],[1,5,7,8,20,57,170],[1,5,7,8,19,54,171],[
1,5,7,8,20,53,172],[1,5,7,8,20,54,173],[1,5,7,8,19,53,174],[1,3,6,7,23,57,
175],[1,3,6,7,23,58,176],[1,2,6,8,25,56,177],[1,2,6,8,25,55,178],[1,5,7,8,20,
55,179],[1,5,7,8,19,55,180],[1,5,7,8,20,56,181],[1,5,7,8,19,56,182],[1,4,5,6,
27,53,183],[1,4,5,6,27,54,184],[1,4,7,8,21,55,56,185],[1,4,7,8,21,57,58,186],[
1,6,7,18,57,58,187],[1,6,7,18,57,58,188],[1,6,8,26,55,56,189],[1,6,8,26,55,56,
190],[1,3,5,8,28,53,54,191],[1,5,6,22,53,54,192],[1,5,6,22,53,54,193],[1,2,5,
7,24,57,58,194],[1,3,5,8,28,55,56,195],[1,2,5,7,24,53,54,196],[1,5,8,16,37,53,
197],[1,5,8,17,38,53,198],[1,5,7,8,38,45,54,199],[1,5,7,8,37,46,54,200],[1,5,
6,16,40,54,201],[1,5,6,17,39,54,202],[1,5,16,17,54,203],[1,6,7,8,34,36,58,
204],[1,6,7,8,33,35,58,205],[1,5,8,37,38,54,206],[1,6,7,14,36,57,207],[1,6,7,
15,35,57,208],[1,5,7,16,45,53,209],[1,5,7,17,46,53,210],[1,5,7,45,46,54,211],[
1,5,6,8,32,41,56,212],[1,5,6,8,31,42,56,213],[1,5,6,8,37,39,53,214],[1,5,6,8,
38,40,53,215],[1,6,8,31,32,55,216],[1,6,7,8,30,32,56,217],[1,6,7,8,29,31,56,
218],[1,6,8,12,32,55,219],[1,6,8,13,31,55,220],[1,5,7,43,44,57,221],[1,5,7,8,
29,41,55,222],[1,5,7,8,30,42,55,223],[1,5,6,39,40,54,224],[1,5,8,13,41,56,
225],[1,5,8,12,42,56,226],[1,8,12,13,55,227],[1,7,8,15,34,58,228],[1,7,8,14,
33,58,229],[1,5,7,15,43,58,230],[1,5,7,14,44,58,231],[1,5,6,7,39,45,53,232],[
1,5,6,7,40,46,53,233],[1,5,7,8,33,43,57,234],[1,5,7,8,34,44,57,235],[1,5,6,7,
36,43,58,236],[1,5,6,7,35,44,58,237],[1,7,8,13,30,56,238],[1,7,8,12,29,56,
239],[1,5,8,41,42,55,240],[1,7,8,33,34,57,241],[1,6,7,35,36,57,242],[1,7,14,
15,57,243],[1,7,8,29,30,55,244],[1,9,245],[1,4,59,246],[1,2,59,247],[1,3,59,
248],[1,5,59,249],[1,8,59,250],[1,6,59,251],[1,7,59,252],[1,8,9,12,253],[1,8,
9,13,254],[1,5,9,16,255],[1,5,9,17,256],[1,7,9,15,257],[1,7,9,14,258],[1,6,9,
11,259],[1,2,3,4,9,10,60,61,62,260],[1,2,6,8,9,25,61,63,66,261],[1,4,5,6,9,27,
62,65,66,262],[1,4,7,8,9,21,62,63,64,263],[1,2,5,7,9,24,61,64,65,264],[1,3,5,
8,9,28,60,63,65,265],[1,3,6,7,9,23,60,64,66,266],[1,2,67,267],[1,3,67,268],[1,
4,67,269],[1,2,3,4,5,6,7,8,10,11,18,19,20,21,22,23,24,25,26,27,28,68,69,70,89,
94,97,98,270],[1,5,7,8,19,29,33,37,42,44,45,103,127,146,271],[1,5,7,8,20,30,
34,38,41,43,46,104,128,145,272],[1,2,3,4,5,6,7,8,10,15,21,23,24,25,27,28,33,
36,44,51,71,81,85,97,109,111,141,273],[1,2,3,4,5,6,7,8,10,14,21,23,24,25,27,
28,34,35,43,52,72,82,86,97,110,112,142,274],[1,2,3,4,5,6,7,8,10,17,21,23,24,
25,27,28,37,40,45,50,75,80,83,97,102,107,113,275],[1,2,3,4,5,6,7,8,10,16,21,
23,24,25,27,28,38,39,46,49,76,79,84,97,101,108,114,276],[1,2,3,4,5,6,7,8,10,
12,21,23,24,25,27,28,30,31,41,47,73,78,87,97,121,123,129,277],[1,2,3,4,5,6,7,
8,10,13,21,23,24,25,27,28,29,32,42,48,74,77,88,97,122,124,130,278],[1,5,6,7,8,
11,13,15,17,19,32,36,40,48,50,51,120,136,143,161,279],[1,5,6,7,8,11,12,14,16,
20,31,35,39,47,49,52,119,135,144,162,280],[1,3,5,6,7,8,15,19,20,22,23,26,28,
29,32,36,40,45,48,50,85,89,91,99,107,122,131,140,143,281],[1,3,5,6,7,8,14,19,
20,22,23,26,28,30,31,35,39,46,47,49,86,89,90,100,108,121,132,139,144,282],[1,
4,5,6,7,8,12,14,18,19,20,21,26,27,30,34,38,46,49,72,78,90,95,98,101,106,128,
133,283],[1,4,5,6,7,8,13,15,18,19,20,21,26,27,29,33,37,45,50,71,77,91,96,98,
102,105,127,134,284],[1,3,5,6,7,8,12,16,19,20,22,23,26,28,34,38,41,43,52,73,
79,89,92,95,112,126,145,154,285],[1,3,5,6,7,8,13,17,19,20,22,23,26,28,33,37,
42,44,51,74,80,89,93,96,111,125,146,153,286],[1,2,5,6,7,8,13,18,19,20,22,24,
25,32,33,36,37,40,50,51,88,94,96,99,113,118,136,141,150,287],[1,2,5,6,7,8,12,
18,19,20,22,24,25,31,34,35,38,39,49,52,87,94,95,100,114,117,135,142,149,288],[
1,4,5,6,7,8,16,18,19,20,21,26,27,31,35,39,41,43,47,52,84,92,98,100,110,115,
119,123,137,289],[1,4,5,6,7,8,17,18,19,20,21,26,27,32,36,40,42,44,48,51,83,93,
98,99,109,116,120,124,138,290],[1,2,5,6,7,8,14,16,18,19,20,22,24,25,30,41,43,
46,47,76,82,90,92,94,104,129,147,152,291],[1,2,5,6,7,8,15,17,18,19,20,22,24,
25,29,42,44,45,48,75,81,91,93,94,103,130,148,151,292],[1,3,5,6,7,8,17,19,20,
22,23,26,28,29,32,33,37,40,44,45,48,50,51,80,89,107,111,118,120,122,127,148,
156,158,293],[1,3,5,6,7,8,16,19,20,22,23,26,28,30,31,34,38,39,43,46,47,49,52,
79,89,108,112,117,119,121,128,147,155,157,294],[1,5,6,7,8,12,19,20,26,30,31,
34,38,41,43,46,47,49,52,95,106,128,135,145,154,155,157,165,295],[1,5,6,7,8,13,
19,20,26,29,32,33,37,42,44,45,48,50,51,96,105,127,136,146,153,156,158,166,
296],[1,4,5,6,7,8,11,17,21,22,27,32,36,37,40,42,44,45,48,50,51,69,83,102,109,
118,124,125,140,148,161,164,297],[1,4,5,6,7,8,11,16,21,22,27,31,35,38,39,41,
43,46,47,49,52,69,84,101,110,117,123,126,139,147,162,163,298],[1,5,6,7,8,15,
17,18,19,22,29,36,40,42,44,45,48,50,51,103,120,138,140,143,148,151,159,164,
299],[1,5,6,7,8,14,16,18,20,22,30,35,39,41,43,46,47,49,52,104,119,137,139,144,
147,152,160,163,300],[1,2,5,6,7,8,15,18,19,20,22,24,25,29,33,36,37,40,42,44,
48,50,51,81,94,113,130,134,138,141,143,146,158,164,301],[1,2,5,6,7,8,14,18,19,
20,22,24,25,30,34,35,38,39,41,43,47,49,52,82,94,114,129,133,137,142,144,145,
157,163,302],[1,3,5,6,7,8,13,19,20,22,23,26,28,29,32,33,40,42,44,45,48,50,51,
74,89,103,105,107,111,116,122,136,164,166,303],[1,3,5,6,7,8,12,19,20,22,23,26,
28,30,31,34,39,41,43,46,47,49,52,73,89,104,106,108,112,115,121,135,163,165,
304],[1,5,6,7,8,12,14,18,20,26,30,31,34,35,38,46,47,49,52,106,128,132,133,135,
144,149,155,160,305],[1,5,6,7,8,13,15,18,19,26,29,32,33,36,37,45,48,50,51,105,
127,131,134,136,143,150,156,159,306],[1,2,5,6,7,8,17,18,19,20,22,24,25,29,33,
36,37,40,42,45,48,50,51,75,94,113,120,125,127,130,140,141,159,166,307],[1,2,5,
6,7,8,16,18,19,20,22,24,25,30,34,35,38,39,41,46,47,49,52,76,94,114,119,126,
128,129,139,142,160,165,308],[1,5,6,7,8,15,18,19,20,29,33,36,37,42,44,45,48,
50,51,91,103,127,134,143,151,158,159,166,309],[1,5,6,7,8,14,18,19,20,30,34,35,
38,41,43,46,47,49,52,90,104,128,133,144,152,157,160,165,310],[1,5,6,7,8,16,19,
20,22,30,34,38,39,41,43,46,47,49,52,92,104,119,126,145,147,157,163,165,311],[
1,5,6,7,8,17,19,20,22,29,33,37,40,42,44,45,48,50,51,93,103,120,125,146,148,
158,164,166,312],[1,3,5,6,7,8,11,15,18,23,28,29,32,33,36,40,44,45,48,50,51,68,
85,107,111,122,134,138,150,151,159,161,313],[1,3,5,6,7,8,11,14,18,23,28,30,31,
34,35,39,43,46,47,49,52,68,86,108,112,121,133,137,149,152,160,162,314],[1,5,6,
7,8,12,16,20,22,26,31,34,38,39,41,43,47,49,52,115,117,119,126,135,145,154,155,
163,315],[1,5,6,7,8,13,17,19,22,26,32,33,37,40,42,44,48,50,51,116,118,120,125,
136,146,153,156,164,316],[1,4,5,6,7,8,12,18,19,20,21,26,27,30,31,35,38,41,43,
46,47,49,52,78,98,101,104,110,123,132,135,154,157,160,317],[1,4,5,6,7,8,13,18,
19,20,21,26,27,29,32,36,37,42,44,45,48,50,51,77,98,102,103,109,124,131,136,
153,158,159,318],[1,4,5,6,7,8,15,18,19,20,21,26,27,32,33,36,37,42,44,45,48,50,
51,71,98,102,109,124,143,146,150,151,156,166,319],[1,4,5,6,7,8,14,18,19,20,21,
26,27,31,34,35,38,41,43,46,47,49,52,72,98,101,110,123,144,145,149,152,155,165,
320],[1,2,5,6,7,8,11,12,24,25,26,30,31,34,35,38,39,41,47,49,52,70,87,106,114,
115,129,132,142,154,155,162,321],[1,2,5,6,7,8,11,13,24,25,26,29,32,33,36,37,
40,42,48,50,51,70,88,105,113,116,130,131,141,153,156,161,322],[1,5,6,7,8,11,
18,19,22,26,30,31,34,35,38,39,41,43,46,47,49,52,100,115,117,132,137,139,149,
155,157,160,162,163,165,323],[1,5,6,7,8,11,18,20,22,26,29,32,33,36,37,40,42,
44,45,48,50,51,99,116,118,131,138,140,150,156,158,159,161,164,166,324],[1,4,5,
6,7,8,18,19,20,21,26,27,54,98,171,173,184,325],[1,4,5,6,7,8,18,19,20,21,26,27,
53,98,172,174,183,326],[1,3,5,6,7,8,19,20,22,23,26,28,57,89,169,170,175,327],[
1,3,5,6,7,8,19,20,22,23,26,28,58,89,167,168,176,328],[1,2,5,6,7,8,18,19,20,22,
24,25,56,94,177,181,182,329],[1,2,5,6,7,8,18,19,20,22,24,25,55,94,178,179,180,
330],[1,4,5,6,7,8,18,19,20,21,26,27,57,58,98,168,170,186,188,331],[1,4,5,6,7,
8,18,19,20,21,26,27,57,58,98,167,169,186,187,332],[1,2,3,4,5,6,7,8,10,21,23,
24,25,27,28,53,54,97,183,184,191,196,333],[1,2,5,6,7,8,18,19,20,22,24,25,57,
58,94,167,169,188,194,334],[1,2,5,6,7,8,18,19,20,22,24,25,57,58,94,168,170,
187,194,335],[1,4,5,6,11,22,27,53,54,69,183,184,192,193,336],[1,3,5,6,7,8,19,
20,22,23,26,28,53,54,89,172,173,191,193,337],[1,3,5,6,7,8,19,20,22,23,26,28,
53,54,89,171,174,191,192,338],[1,2,5,6,7,8,18,19,20,22,24,25,53,54,94,172,173,
192,196,339],[1,2,5,6,7,8,18,19,20,22,24,25,53,54,94,171,174,193,196,340],[1,
2,3,4,5,6,7,8,10,21,23,24,25,27,28,57,58,97,175,176,186,194,341],[1,2,6,8,11,
25,26,55,56,70,177,178,189,190,342],[1,3,6,7,11,18,23,57,58,68,175,176,187,
188,343],[1,2,3,4,5,6,7,8,10,21,23,24,25,27,28,55,56,97,177,178,185,195,344],[
1,3,5,6,7,8,19,20,22,23,26,28,55,56,89,179,181,189,195,345],[1,3,5,6,7,8,19,
20,22,23,26,28,55,56,89,180,182,190,195,346],[1,4,5,6,7,8,18,19,20,21,26,27,
55,56,98,179,181,185,190,347],[1,4,5,6,7,8,18,19,20,21,26,27,55,56,98,180,182,
185,189,348],[1,5,6,7,8,20,30,32,34,36,38,40,46,53,99,128,172,215,233,349],[1,
5,6,7,8,19,29,31,33,35,37,39,45,53,100,127,174,214,232,350],[1,5,6,7,8,20,32,
34,36,38,40,41,43,58,99,145,168,204,236,351],[1,5,6,7,8,19,31,33,35,37,39,42,
44,58,100,146,167,205,237,352],[1,5,6,7,8,13,14,20,33,35,37,47,49,58,96,144,
168,205,229,353],[1,5,6,7,8,12,15,19,34,36,38,48,50,58,95,143,167,204,228,
354],[1,5,6,7,8,13,16,19,32,41,43,50,51,56,92,136,182,212,225,355],[1,5,6,7,8,
12,17,20,31,42,44,49,52,56,93,135,181,213,226,356],[1,5,7,8,13,20,30,33,34,37,
38,46,54,96,128,173,200,206,357],[1,5,7,8,12,19,29,33,34,37,38,45,54,95,127,
171,199,206,358],[1,5,6,7,8,12,17,19,34,38,40,48,51,53,95,120,174,198,215,
359],[1,5,6,7,8,13,16,20,33,37,39,47,52,53,96,119,172,197,214,360],[1,5,6,7,8,
14,17,19,30,40,46,48,51,53,90,120,174,210,233,361],[1,5,6,7,8,15,16,20,29,39,
45,47,52,53,91,119,172,209,232,362],[1,5,7,8,17,20,30,41,42,43,44,46,55,93,
104,179,223,240,363],[1,5,7,8,16,19,29,41,42,43,44,45,55,92,103,180,222,240,
364],[1,5,7,8,15,20,29,30,41,43,45,46,55,91,104,179,222,244,365],[1,5,7,8,14,
19,29,30,42,44,45,46,55,90,103,180,223,244,366],[1,5,6,7,8,13,19,31,32,35,39,
50,51,55,100,136,180,216,220,367],[1,5,6,7,8,12,20,31,32,36,40,49,52,55,99,
135,179,216,219,368],[1,5,6,7,8,12,13,20,31,33,37,49,52,55,96,135,179,220,227,
369],[1,5,6,7,8,12,13,19,32,34,38,50,51,55,95,136,180,219,227,370],[1,5,6,7,8,
15,19,31,35,36,39,48,50,57,100,143,169,208,242,371],[1,5,6,7,8,14,20,32,35,36,
40,47,49,57,99,144,170,207,242,372],[1,5,6,7,8,14,15,19,30,36,46,48,50,57,90,
143,169,207,243,373],[1,5,6,7,8,14,15,20,29,35,45,47,49,57,91,144,170,208,243,
374],[1,5,6,7,8,20,30,32,36,40,41,43,46,56,99,104,181,212,217,375],[1,5,6,7,8,
19,29,31,35,39,42,44,45,56,100,103,182,213,218,376],[1,5,7,8,15,20,29,34,38,
41,43,45,58,91,145,168,228,230,377],[1,5,7,8,14,19,30,33,37,42,44,46,58,90,
146,167,229,231,378],[1,5,7,8,13,20,33,34,37,38,41,43,57,96,145,170,234,241,
379],[1,5,7,8,12,19,33,34,37,38,42,44,57,95,146,169,235,241,380],[1,5,7,8,15,
20,29,30,34,38,45,46,54,91,128,173,199,211,381],[1,5,7,8,14,19,29,30,33,37,45,
46,54,90,127,171,200,211,382],[1,5,6,7,8,14,17,20,35,42,44,47,49,58,93,144,
168,231,237,383],[1,5,6,7,8,15,16,19,36,41,43,48,50,58,92,143,167,230,236,
384],[1,5,6,7,8,16,17,20,39,42,44,47,52,54,93,119,173,202,203,385],[1,5,6,7,8,
16,17,19,40,41,43,48,51,54,92,120,171,201,203,386],[1,5,7,8,17,20,30,34,38,42,
44,46,53,93,128,172,198,210,387],[1,5,7,8,16,19,29,33,37,41,43,45,53,92,127,
174,197,209,388],[1,5,6,7,8,17,19,31,35,39,40,48,51,54,100,120,171,202,224,
389],[1,5,6,7,8,16,20,32,36,39,40,47,52,54,99,119,173,201,224,390],[1,5,6,7,8,
12,15,20,29,31,45,49,52,56,91,135,181,218,239,391],[1,5,6,7,8,13,14,19,30,32,
46,50,51,56,90,136,182,217,238,392],[1,5,7,8,17,20,34,38,41,42,43,44,57,93,
145,170,221,235,393],[1,5,7,8,16,19,33,37,41,42,43,44,57,92,146,169,221,234,
394],[1,5,7,8,12,19,29,34,38,42,44,45,56,95,103,182,226,239,395],[1,5,7,8,13,
20,30,33,37,41,43,46,56,96,104,181,225,238,396],[1,5,6,7,15,18,35,39,43,44,45,
47,48,57,58,137,151,187,208,221,230,237,397],[1,5,6,7,14,18,36,40,43,44,46,47,
48,57,58,138,152,188,207,221,231,236,398],[1,3,5,6,7,8,23,28,39,40,45,46,49,
50,53,54,107,108,191,211,224,232,233,399],[1,3,5,6,7,8,17,23,28,37,39,46,49,
53,54,80,108,191,200,202,210,214,400],[1,3,5,6,7,8,16,23,28,38,40,45,50,53,54,
79,107,191,199,201,209,215,401],[1,2,5,7,16,17,24,45,46,53,54,75,76,196,203,
209,210,211,402],[1,4,5,6,7,8,15,21,27,33,35,43,52,57,58,71,110,186,205,208,
230,234,403],[1,4,5,6,7,8,14,21,27,34,36,44,51,57,58,72,109,186,204,207,231,
235,404],[1,2,5,6,7,8,16,24,25,37,40,46,50,53,54,76,113,196,197,200,201,233,
405],[1,2,5,6,7,8,17,24,25,38,39,45,49,53,54,75,114,196,198,199,202,232,406],[
1,2,5,6,7,8,24,25,33,34,35,36,51,52,57,58,141,142,194,204,205,241,242,407],[1,
4,7,8,12,13,21,29,30,55,56,77,78,185,227,238,239,244,408],[1,5,6,7,8,26,29,31,
32,36,39,41,50,52,55,56,115,131,189,212,216,218,222,409],[1,5,6,7,8,26,30,31,
32,35,40,42,49,51,55,56,116,132,190,213,216,217,223,410],[1,5,6,7,8,16,17,22,
38,41,44,45,48,52,53,54,126,148,192,198,199,203,209,411],[1,5,6,7,8,16,17,22,
37,42,43,46,47,51,53,54,125,147,193,197,200,203,210,412],[1,2,6,8,12,13,25,31,
32,55,87,88,178,216,219,220,227,413],[1,4,5,6,7,8,16,21,27,37,39,45,50,53,84,
102,183,197,209,214,232,414],[1,4,5,6,7,8,17,21,27,38,40,46,49,53,83,101,183,
198,210,215,233,415],[1,4,7,8,14,15,21,33,34,57,58,71,72,186,228,229,241,243,
416],[1,5,6,8,13,26,31,37,39,41,42,51,52,55,56,115,153,189,213,220,225,240,
417],[1,5,6,8,12,26,32,38,40,41,42,51,52,55,56,116,154,190,212,219,226,240,
418],[1,3,5,6,7,8,15,23,28,34,36,43,52,58,85,112,176,204,228,230,236,419],[1,
3,5,6,7,8,14,23,28,33,35,44,51,58,86,111,176,205,229,231,237,420],[1,2,5,6,7,
8,24,25,29,30,41,42,47,48,55,129,130,178,222,223,240,244,421],[1,4,5,6,7,8,21,
27,35,36,43,44,51,52,57,58,109,110,186,221,236,237,242,422],[1,6,7,8,14,18,30,
32,33,34,36,49,50,57,58,133,150,187,204,207,229,241,423],[1,6,7,8,15,18,29,31,
33,34,35,49,50,57,58,134,149,188,205,208,228,241,424],[1,5,6,7,8,14,15,18,30,
34,44,45,48,49,57,58,133,151,187,228,231,235,243,425],[1,5,6,7,8,14,15,18,29,
33,43,46,47,50,57,58,134,152,188,229,230,234,243,426],[1,5,6,7,8,12,13,26,30,
34,37,42,49,51,55,56,106,153,189,223,226,227,238,427],[1,5,6,7,8,12,13,26,29,
33,38,41,50,52,55,56,105,154,190,222,225,227,239,428],[1,6,7,8,12,26,29,30,32,
34,36,49,50,55,56,106,131,189,217,219,239,244,429],[1,6,7,8,13,26,29,30,31,33,
35,49,50,55,56,105,132,190,218,220,238,244,430],[1,4,5,6,16,17,27,39,40,54,83,
84,184,201,202,203,224,431],[1,2,5,6,7,8,24,25,37,38,39,40,49,50,53,54,113,
114,196,206,214,215,224,432],[1,3,5,8,12,13,28,41,42,55,56,73,74,195,225,226,
227,240,433],[1,3,5,8,16,17,28,37,38,53,54,79,80,191,197,198,203,206,434],[1,
4,5,6,7,8,12,21,27,30,32,42,48,55,56,78,124,185,217,219,223,226,435],[1,4,5,6,
7,8,13,21,27,29,31,41,47,55,56,77,123,185,218,220,222,225,436],[1,5,6,8,17,22,
31,37,38,39,42,51,52,53,54,117,125,193,198,202,206,214,437],[1,5,6,8,16,22,32,
37,38,40,41,51,52,53,54,118,126,192,197,201,206,215,438],[1,4,5,6,7,8,21,27,
37,38,45,46,49,50,54,101,102,184,199,200,206,211,439],[1,5,6,7,16,22,36,40,43,
45,46,47,48,53,54,140,147,193,201,209,211,233,440],[1,5,6,7,17,22,35,39,44,45,
46,47,48,53,54,139,148,192,202,210,211,232,441],[1,2,5,6,7,8,13,24,25,30,32,
41,47,56,88,129,177,212,217,225,238,442],[1,2,5,6,7,8,12,24,25,29,31,42,48,56,
87,130,177,213,218,226,239,443],[1,5,6,7,8,22,32,35,37,39,40,46,47,51,53,54,
118,139,192,200,214,224,233,444],[1,5,6,7,8,22,31,36,38,39,40,45,48,52,53,54,
117,140,193,199,215,224,232,445],[1,2,5,6,7,8,15,24,25,34,35,44,52,57,58,81,
142,194,208,228,235,237,446],[1,2,5,6,7,8,14,24,25,33,36,43,51,57,58,82,141,
194,207,229,234,236,447],[1,3,5,6,7,8,12,23,28,29,32,41,48,55,56,73,122,195,
212,219,222,239,448],[1,3,5,6,7,8,13,23,28,30,31,42,47,55,56,74,121,195,213,
220,223,238,449],[1,5,6,7,8,18,32,33,35,36,39,43,47,50,57,58,137,150,187,205,
234,236,242,450],[1,5,6,7,8,18,31,34,35,36,40,44,48,49,57,58,138,149,188,204,
235,237,242,451],[1,3,5,6,7,8,23,28,33,34,43,44,51,52,57,111,112,175,221,234,
235,241,452],[1,4,5,6,7,8,21,27,31,32,41,42,47,48,55,56,123,124,185,212,213,
216,240,453],[1,2,5,7,14,15,24,43,44,57,58,81,82,194,221,230,231,243,454],[1,
3,6,7,14,15,23,35,36,57,85,86,175,207,208,242,243,455],[1,3,5,6,7,8,23,28,29,
30,31,32,47,48,55,56,121,122,195,216,217,218,244,456],[1,5,7,8,20,30,41,43,46,
54,57,104,170,173,457],[1,5,7,8,20,30,41,43,46,54,58,104,168,173,458],[1,5,7,
8,19,29,42,44,45,53,58,103,167,174,459],[1,5,7,8,19,29,42,44,45,54,57,103,169,
171,460],[1,5,7,8,19,29,42,44,45,53,57,103,169,174,461],[1,5,7,8,20,30,41,43,
46,53,58,104,168,172,462],[1,5,7,8,20,30,41,43,46,53,57,104,170,172,463],[1,5,
7,8,19,29,42,44,45,54,58,103,167,171,464],[1,5,6,7,8,17,19,40,48,51,56,57,120,
169,182,465],[1,5,6,7,8,16,20,39,47,52,56,57,119,170,181,466],[1,5,6,7,8,16,
20,39,47,52,55,58,119,168,179,467],[1,5,6,7,8,17,19,40,48,51,55,58,120,167,
180,468],[1,5,6,7,8,16,20,39,47,52,55,57,119,170,179,469],[1,5,6,7,8,16,20,39,
47,52,56,58,119,168,181,470],[1,5,6,7,8,17,19,40,48,51,55,57,120,169,180,
471],[1,5,6,7,8,17,19,40,48,51,56,58,120,167,182,472],[1,5,6,7,8,12,20,31,49,
52,53,58,135,168,172,473],[1,5,6,7,8,12,20,31,49,52,53,57,135,170,172,474],[1,
5,6,7,8,13,19,32,50,51,53,58,136,167,174,475],[1,5,6,7,8,13,19,32,50,51,53,57,
136,169,174,476],[1,5,6,7,8,12,20,31,49,52,54,57,135,170,173,477],[1,5,6,7,8,
13,19,32,50,51,54,57,136,169,171,478],[1,5,6,7,8,13,19,32,50,51,54,58,136,167,
171,479],[1,5,6,7,8,12,20,31,49,52,54,58,135,168,173,480],[1,5,7,8,19,29,33,
37,45,56,57,127,169,182,481],[1,5,7,8,19,29,33,37,45,55,58,127,167,180,482],[
1,5,7,8,19,29,33,37,45,55,57,127,169,180,483],[1,5,7,8,20,30,34,38,46,56,58,
128,168,181,484],[1,5,7,8,19,29,33,37,45,56,58,127,167,182,485],[1,5,7,8,20,
30,34,38,46,55,57,128,170,179,486],[1,5,7,8,20,30,34,38,46,56,57,128,170,181,
487],[1,5,7,8,20,30,34,38,46,55,58,128,168,179,488],[1,5,6,7,8,14,20,35,47,49,
54,56,144,173,181,489],[1,5,6,7,8,14,20,35,47,49,53,56,144,172,181,490],[1,5,
6,7,8,14,20,35,47,49,53,55,144,172,179,491],[1,5,6,7,8,15,19,36,48,50,53,56,
143,174,182,492],[1,5,6,7,8,15,19,36,48,50,54,56,143,171,182,493],[1,5,6,7,8,
15,19,36,48,50,54,55,143,171,180,494],[1,5,6,7,8,14,20,35,47,49,54,55,144,173,
179,495],[1,5,6,7,8,15,19,36,48,50,53,55,143,174,180,496],[1,5,7,8,19,33,37,
42,44,53,55,146,174,180,497],[1,5,7,8,20,34,38,41,43,53,55,145,172,179,498],[
1,5,7,8,20,34,38,41,43,53,56,145,172,181,499],[1,5,7,8,19,33,37,42,44,54,56,
146,171,182,500],[1,5,7,8,19,33,37,42,44,54,55,146,171,180,501],[1,5,7,8,20,
34,38,41,43,54,55,145,173,179,502],[1,5,7,8,19,33,37,42,44,53,56,146,174,182,
503],[1,5,7,8,20,34,38,41,43,54,56,145,173,181,504],[1,7,9,64,245,505],[1,8,9,
63,245,506],[1,5,9,65,245,507],[1,6,9,66,245,508],[1,4,9,62,245,509],[1,2,9,
61,245,510],[1,3,9,60,245,511],[1,4,5,6,27,59,246,249,251,512],[1,4,7,8,21,59,
246,250,252,513],[1,2,5,7,24,59,247,249,252,514],[1,3,6,7,23,59,248,251,252,
515],[1,2,6,8,25,59,247,250,251,516],[1,3,5,8,28,59,248,249,250,517],[1,2,3,4,
10,59,246,247,248,518],[1,9,67,519],[1,5,7,9,17,46,53,64,210,256,520],[1,5,7,
9,16,45,53,64,209,255,521],[1,5,8,9,17,38,53,63,198,256,522],[1,5,8,9,16,37,
53,63,197,255,523],[1,5,6,9,17,39,54,66,202,256,524],[1,5,6,9,16,40,54,66,201,
255,525],[1,5,7,9,14,44,58,65,231,258,526],[1,5,7,9,15,43,58,65,230,257,527],[
1,7,8,9,12,29,56,64,239,253,528],[1,7,8,9,13,30,56,64,238,254,529],[1,7,9,14,
15,57,64,243,258,530],[1,7,9,14,15,57,64,243,257,531],[1,5,9,16,17,54,65,203,
255,532],[1,5,9,16,17,54,65,203,256,533],[1,7,8,9,14,33,58,63,229,258,534],[1,
7,8,9,15,34,58,63,228,257,535],[1,8,9,12,13,55,63,227,253,536],[1,8,9,12,13,
55,63,227,254,537],[1,6,8,9,12,32,55,66,219,253,538],[1,6,8,9,13,31,55,66,220,
254,539],[1,5,8,9,12,42,56,65,226,253,540],[1,5,8,9,13,41,56,65,225,254,541],[
1,6,7,9,14,36,57,66,207,258,542],[1,6,7,9,15,35,57,66,208,257,543],[1,2,5,7,9,
14,24,43,61,82,258,544],[1,2,5,7,9,15,24,44,61,81,257,545],[1,3,6,7,9,14,23,
35,60,86,258,546],[1,3,6,7,9,15,23,36,60,85,257,547],[1,3,5,8,9,16,28,38,60,
79,255,548],[1,3,5,8,9,17,28,37,60,80,256,549],[1,3,5,8,9,12,28,41,60,73,253,
550],[1,3,5,8,9,13,28,42,60,74,254,551],[1,4,7,8,9,12,21,30,62,78,253,552],[1,
4,7,8,9,13,21,29,62,77,254,553],[1,4,5,6,9,16,27,39,62,84,255,554],[1,4,5,6,9,
17,27,40,62,83,256,555],[1,2,5,7,9,16,24,46,61,76,255,556],[1,2,5,7,9,17,24,
45,61,75,256,557],[1,2,6,8,9,12,25,31,61,87,253,558],[1,2,6,8,9,13,25,32,61,
88,254,559],[1,4,7,8,9,15,21,33,62,71,257,560],[1,4,7,8,9,14,21,34,62,72,258,
561],[1,2,6,8,9,11,25,26,61,70,259,562],[1,3,6,7,9,11,18,23,60,68,259,563],[1,
4,5,6,9,11,22,27,62,69,259,564],[1,2,3,4,5,6,7,8,9,10,21,23,24,25,27,28,60,61,
62,63,64,65,66,97,260,261,262,263,264,265,266,565],[1,2,3,4,10,67,267,268,269,
566],[1,3,5,6,7,8,13,17,19,20,22,23,26,28,29,32,33,37,40,42,44,45,48,50,51,74,
80,89,93,96,103,105,107,111,116,118,120,122,125,127,136,146,148,153,156,158,
164,166,271,286,293,296,303,312,316,567],[1,3,5,6,7,8,12,16,19,20,22,23,26,28,
30,31,34,38,39,41,43,46,47,49,52,73,79,89,92,95,104,106,108,112,115,117,119,
121,126,128,135,145,147,154,155,157,163,165,272,285,294,295,304,311,315,568],[
1,2,5,6,7,8,14,16,18,19,20,22,24,25,30,34,35,38,39,41,43,46,47,49,52,76,82,90,
92,94,104,114,119,126,128,129,133,137,139,142,144,145,147,152,157,160,163,165,
272,291,300,302,308,310,311,569],[1,2,5,6,7,8,15,17,18,19,20,22,24,25,29,33,
36,37,40,42,44,45,48,50,51,75,81,91,93,94,103,113,120,125,127,130,134,138,140,
141,143,146,148,151,158,159,164,166,271,292,299,301,307,309,312,570],[1,4,5,6,
7,8,13,15,18,19,20,21,26,27,29,32,33,36,37,42,44,45,48,50,51,71,77,91,96,98,
102,103,105,109,124,127,131,134,136,143,146,150,151,153,156,158,159,166,271,
284,296,306,309,318,319,571],[1,4,5,6,7,8,12,14,18,19,20,21,26,27,30,31,34,35,
38,41,43,46,47,49,52,72,78,90,95,98,101,104,106,110,123,128,132,133,135,144,
145,149,152,154,155,157,160,165,272,283,295,305,310,317,320,572],[1,3,5,6,7,8,
11,13,15,17,18,19,20,22,23,26,28,29,32,33,36,37,40,42,44,45,48,50,51,68,74,80,
85,89,91,99,103,105,107,111,116,118,120,122,127,131,134,136,138,140,143,148,
150,151,156,158,159,161,164,166,279,281,293,299,303,306,309,313,324,573],[1,3,
5,6,7,8,11,12,14,16,18,19,20,22,23,26,28,30,31,34,35,38,39,41,43,46,47,49,52,
68,73,79,86,89,90,100,104,106,108,112,115,117,119,121,128,132,133,135,137,139,
144,147,149,152,155,157,160,162,163,165,280,282,294,300,304,305,310,314,323,
574],[1,4,5,6,7,8,11,12,14,16,18,19,20,21,22,26,27,30,31,34,35,38,39,41,43,46,
47,49,52,69,72,78,84,92,98,100,101,104,110,115,117,119,123,126,132,135,137,
139,144,145,147,149,152,154,155,157,160,162,163,165,280,289,298,300,311,315,
317,320,323,575],[1,4,5,6,7,8,11,13,15,17,18,19,20,21,22,26,27,29,32,33,36,37,
40,42,44,45,48,50,51,69,71,77,83,93,98,99,102,103,109,116,118,120,124,125,131,
136,138,140,143,146,148,150,151,153,156,158,159,161,164,166,279,290,297,299,
312,316,318,319,324,576],[1,2,5,6,7,8,11,12,14,16,18,19,20,22,24,25,26,30,31,
34,35,38,39,41,43,46,47,49,52,70,76,82,87,94,95,100,106,114,115,117,119,126,
128,129,132,133,135,137,139,142,144,145,149,154,155,157,160,162,163,165,280,
288,295,302,305,308,315,321,323,577],[1,2,5,6,7,8,11,13,15,17,18,19,20,22,24,
25,26,29,32,33,36,37,40,42,44,45,48,50,51,70,75,81,88,94,96,99,105,113,116,
118,120,125,127,130,131,134,136,138,140,141,143,146,150,153,156,158,159,161,
164,166,279,287,296,301,306,307,316,322,324,578],[1,2,3,4,5,6,7,8,10,11,13,15,
17,18,19,20,21,22,23,24,25,26,27,28,29,32,33,36,37,40,42,44,45,48,50,51,68,69,
70,71,74,75,77,80,81,83,85,88,89,91,93,94,96,97,98,99,102,103,105,107,109,111,
113,116,118,120,122,124,125,127,130,131,134,136,138,140,141,143,146,148,150,
151,153,156,158,159,161,164,166,270,273,275,278,281,284,286,287,290,292,293,
297,301,303,307,313,318,319,322,579],[1,2,3,4,5,6,7,8,10,11,12,14,16,18,19,20,
21,22,23,24,25,26,27,28,30,31,34,35,38,39,41,43,46,47,49,52,68,69,70,72,73,76,
78,79,82,84,86,87,89,90,92,94,95,97,98,100,101,104,106,108,110,112,114,115,
117,119,121,123,126,128,129,132,133,135,137,139,142,144,145,147,149,152,154,
155,157,160,162,163,165,270,274,276,277,282,283,285,288,289,291,294,298,302,
304,308,314,317,320,321,580],[1,3,5,6,7,8,13,14,17,19,20,22,23,26,28,30,31,33,
35,37,39,42,44,46,47,49,51,58,74,80,86,89,90,93,96,100,108,111,121,125,132,
139,144,146,153,167,168,176,205,229,231,237,282,286,328,352,353,378,383,420,
581],[1,3,5,6,7,8,12,15,16,19,20,22,23,26,28,29,32,34,36,38,40,41,43,45,48,50,
52,58,73,79,85,89,91,92,95,99,107,112,122,126,131,140,143,145,154,167,168,176,
204,228,230,236,281,285,328,351,354,377,384,419,582],[1,2,5,6,7,8,12,13,18,19,
20,22,24,25,31,32,33,34,35,36,37,38,39,40,49,50,51,52,55,87,88,94,95,96,99,
100,113,114,117,118,135,136,141,142,149,150,178,179,180,216,219,220,227,287,
288,330,367,368,369,370,413,583],[1,3,5,6,7,8,12,13,16,17,19,20,22,23,26,28,
33,34,37,38,41,42,43,44,51,52,57,73,74,79,80,89,92,93,95,96,111,112,125,126,
145,146,153,154,169,170,175,221,234,235,241,285,286,327,379,380,393,394,452,
584],[1,4,5,6,7,8,16,17,18,19,20,21,26,27,31,32,35,36,39,40,41,42,43,44,47,48,
51,52,54,83,84,92,93,98,99,100,109,110,115,116,119,120,123,124,137,138,171,
173,184,201,202,203,224,289,290,325,385,386,389,390,431,585],[1,2,5,6,7,8,13,
14,16,18,19,20,22,24,25,30,32,33,36,37,40,41,43,46,47,50,51,56,76,82,88,90,92,
94,96,99,104,113,118,129,136,141,147,150,152,177,181,182,212,217,225,238,287,
291,329,355,375,392,396,442,586],[1,2,5,6,7,8,12,15,17,18,19,20,22,24,25,29,
31,34,35,38,39,42,44,45,48,49,52,56,75,81,87,91,93,94,95,100,103,114,117,130,
135,142,148,149,151,177,181,182,213,218,226,239,288,292,329,356,376,391,395,
443,587],[1,4,5,6,7,8,12,13,14,15,18,19,20,21,26,27,29,30,33,34,37,38,45,46,
49,50,54,71,72,77,78,90,91,95,96,98,101,102,105,106,127,128,133,134,171,173,
184,199,200,206,211,283,284,325,357,358,381,382,439,588],[1,3,5,6,7,8,14,15,
19,20,22,23,26,28,29,30,31,32,35,36,39,40,45,46,47,48,49,50,57,85,86,89,90,91,
99,100,107,108,121,122,131,132,139,140,143,144,169,170,175,207,208,242,243,
281,282,327,371,372,373,374,455,589],[1,2,5,6,7,8,14,15,16,17,18,19,20,22,24,
25,29,30,41,42,43,44,45,46,47,48,55,75,76,81,82,90,91,92,93,94,103,104,129,
130,147,148,151,152,178,179,180,222,223,240,244,291,292,330,363,364,365,366,
421,590],[1,4,5,6,7,8,12,14,17,18,19,20,21,26,27,30,32,34,36,38,40,42,44,46,
48,49,51,53,72,78,83,90,93,95,98,99,101,106,109,116,120,124,128,133,138,172,
174,183,198,210,215,233,283,290,326,349,359,361,387,415,591],[1,4,5,6,7,8,13,
15,16,18,19,20,21,26,27,29,31,33,35,37,39,41,43,45,47,50,52,53,71,77,84,91,92,
96,98,100,102,105,110,115,119,123,127,134,137,172,174,183,197,209,214,232,284,
289,326,350,360,362,388,414,592],[1,2,5,6,7,8,13,16,18,19,20,22,24,25,30,32,
33,34,35,36,37,38,39,40,41,46,47,49,50,51,52,53,54,76,88,94,96,99,113,114,118,
119,126,128,129,136,139,141,142,150,160,165,172,173,192,196,197,200,201,206,
214,215,224,233,287,308,339,349,357,360,390,405,432,438,444,593],[1,2,5,6,7,8,
12,17,18,19,20,22,24,25,29,31,33,34,35,36,37,38,39,40,42,45,48,49,50,51,52,53,
54,75,87,94,95,100,113,114,117,120,125,127,130,135,140,141,142,149,159,166,
171,174,193,196,198,199,202,206,214,215,224,232,288,307,340,350,358,359,389,
406,432,437,445,594],[1,4,5,6,7,8,12,14,15,18,19,20,21,26,27,30,32,33,34,36,
37,38,42,44,45,46,48,49,50,51,57,58,71,72,78,90,95,98,101,102,106,109,124,128,
133,143,146,150,151,156,166,167,169,186,187,204,207,228,229,231,235,241,243,
283,319,332,354,373,378,380,404,416,423,425,595],[1,4,5,6,7,8,13,14,15,18,19,
20,21,26,27,29,31,33,34,35,37,38,41,43,45,46,47,49,50,52,57,58,71,72,77,91,96,
98,101,102,105,110,123,127,134,144,145,149,152,155,165,168,170,186,188,205,
208,228,229,230,234,241,243,284,320,331,353,374,377,379,403,416,424,426,596],[
1,2,5,6,7,8,15,16,17,18,19,20,22,24,25,29,30,34,35,38,39,41,42,44,45,46,47,48,
49,52,53,54,75,76,81,91,93,94,103,114,119,126,128,129,130,139,142,148,151,160,
165,172,173,192,196,198,199,202,203,209,210,211,232,292,308,339,362,381,385,
387,402,406,411,441,597],[1,2,5,6,7,8,14,16,17,18,19,20,22,24,25,29,30,33,36,
37,40,41,42,43,45,46,47,48,50,51,53,54,75,76,82,90,92,94,104,113,120,125,127,
129,130,140,141,147,152,159,166,171,174,193,196,197,200,201,203,209,210,211,
233,291,307,340,361,382,386,388,402,405,412,440,598],[1,3,5,6,7,8,15,16,19,20,
22,23,26,28,29,30,31,32,34,36,38,39,40,43,45,46,47,48,49,50,52,53,54,79,85,89,
91,99,107,108,112,117,119,121,122,128,131,140,143,147,155,157,172,173,191,193,
199,201,209,211,215,224,232,233,281,294,337,349,362,381,390,399,401,440,445,
599],[1,3,5,6,7,8,14,17,19,20,22,23,26,28,29,30,31,32,33,35,37,39,40,44,45,46,
47,48,49,50,51,53,54,80,86,89,90,100,107,108,111,118,120,121,122,127,132,139,
144,148,156,158,171,174,191,192,200,202,210,211,214,224,232,233,282,293,338,
350,361,382,389,399,400,441,444,600],[1,3,5,6,7,8,13,16,17,19,20,22,23,26,28,
30,31,33,34,37,38,39,42,43,44,46,47,49,51,52,53,54,74,79,80,89,93,96,108,111,
112,117,119,121,125,128,146,147,153,155,157,172,173,191,193,197,198,200,202,
203,206,210,214,286,294,337,357,360,385,387,400,412,434,437,601],[1,3,5,6,7,8,
12,16,17,19,20,22,23,26,28,29,32,33,34,37,38,40,41,43,44,45,48,50,51,52,53,54,
73,79,80,89,92,95,107,111,112,118,120,122,126,127,145,148,154,156,158,171,174,
191,192,197,198,199,201,203,206,209,215,285,293,338,358,359,386,388,401,411,
434,438,602],[1,2,5,6,7,8,12,15,18,19,20,22,24,25,29,31,33,34,35,36,37,38,39,
40,42,44,48,49,50,51,52,57,58,81,87,94,95,100,113,114,117,130,134,135,138,141,
142,143,146,149,158,164,167,169,188,194,204,205,208,228,235,237,241,242,288,
301,334,352,354,371,380,407,424,446,451,603],[1,2,5,6,7,8,13,14,18,19,20,22,
24,25,30,32,33,34,35,36,37,38,39,40,41,43,47,49,50,51,52,57,58,82,88,94,96,99,
113,114,118,129,133,136,137,141,142,144,145,150,157,163,168,170,187,194,204,
205,207,229,234,236,241,242,287,302,335,351,353,372,379,407,423,447,450,604],[
1,3,5,6,7,8,12,13,17,19,20,22,23,26,28,30,31,33,34,37,39,41,42,43,44,46,47,49,
51,52,55,56,73,74,80,89,93,96,104,106,108,111,112,115,121,125,135,146,153,163,
165,179,181,189,195,213,220,223,225,226,227,238,240,286,304,345,356,363,369,
396,417,427,433,449,605],[1,3,5,6,7,8,12,13,16,19,20,22,23,26,28,29,32,33,34,
38,40,41,42,43,44,45,48,50,51,52,55,56,73,74,79,89,92,95,103,105,107,111,112,
116,122,126,136,145,154,164,166,180,182,190,195,212,219,222,225,226,227,239,
240,285,303,346,355,364,370,395,418,428,433,448,606],[1,3,5,6,7,8,13,14,19,20,
22,23,26,28,29,30,31,32,33,35,39,40,42,44,45,46,47,48,49,50,51,55,56,74,86,89,
90,100,103,105,107,108,111,116,121,122,132,136,139,144,164,166,180,182,190,
195,213,216,217,218,220,223,238,244,282,303,346,366,367,376,392,410,430,449,
456,607],[1,3,5,6,7,8,12,15,19,20,22,23,26,28,29,30,31,32,34,36,39,40,41,43,
45,46,47,48,49,50,52,55,56,73,85,89,91,99,104,106,107,108,112,115,121,122,131,
135,140,143,163,165,179,181,189,195,212,216,217,218,219,222,239,244,281,304,
345,365,368,375,391,409,429,448,456,608],[1,4,5,6,7,8,12,13,14,18,19,20,21,26,
27,29,30,32,34,36,37,38,42,44,45,46,48,49,50,51,55,56,72,77,78,90,95,98,101,
102,103,106,109,124,128,131,133,136,153,158,159,180,182,185,189,217,219,223,
226,227,238,239,244,283,318,348,366,370,392,395,408,427,429,435,609],[1,4,5,6,
7,8,12,13,15,18,19,20,21,26,27,29,30,31,33,35,37,38,41,43,45,46,47,49,50,52,
55,56,71,77,78,91,96,98,101,102,104,105,110,123,127,132,134,135,154,157,160,
179,181,185,190,218,220,222,225,227,238,239,244,284,317,347,365,369,391,396,
408,428,430,436,610],[1,2,5,6,7,8,14,15,17,18,19,20,22,24,25,29,30,34,35,38,
39,41,42,43,44,45,47,48,49,52,57,58,75,81,82,91,93,94,103,114,129,130,133,137,
142,144,145,148,151,157,163,168,170,187,194,208,221,228,230,231,235,237,243,
292,302,335,374,377,383,393,397,425,446,454,611],[1,2,5,6,7,8,14,15,16,18,19,
20,22,24,25,29,30,33,36,37,40,41,42,43,44,46,47,48,50,51,57,58,76,81,82,90,92,
94,104,113,129,130,134,138,141,143,146,147,152,158,164,167,169,188,194,207,
221,229,230,231,234,236,243,291,301,334,373,378,384,394,398,426,447,454,612],[
1,4,5,6,7,8,15,16,18,19,20,21,26,27,31,32,33,35,36,37,39,41,42,43,44,45,47,48,
50,51,52,57,58,71,84,92,98,100,102,109,110,115,119,123,124,137,143,146,150,
151,156,166,167,169,186,187,205,208,221,230,234,236,237,242,289,319,332,352,
371,384,394,397,403,422,450,613],[1,4,5,6,7,8,14,17,18,19,20,21,26,27,31,32,
34,35,36,38,40,41,42,43,44,46,47,48,49,51,52,57,58,72,83,93,98,99,101,109,110,
116,120,123,124,138,144,145,149,152,155,165,168,170,186,188,204,207,221,231,
235,236,237,242,290,320,331,351,372,383,393,398,404,422,451,614],[1,4,5,6,7,8,
13,16,18,19,20,21,26,27,29,31,32,35,36,37,39,41,42,43,44,45,47,48,50,51,52,55,
56,77,84,92,98,100,102,103,109,110,115,119,123,124,131,136,137,153,158,159,
180,182,185,189,212,213,216,218,220,222,225,240,289,318,348,355,364,367,376,
409,417,436,453,615],[1,4,5,6,7,8,12,17,18,19,20,21,26,27,30,31,32,35,36,38,
40,41,42,43,44,46,47,48,49,51,52,55,56,78,83,93,98,99,101,104,109,110,116,120,
123,124,132,135,138,154,157,160,179,181,185,190,212,213,216,217,219,223,226,
240,290,317,347,356,363,368,375,410,418,435,453,616],[1,3,5,6,7,8,11,14,15,18,
23,28,29,30,31,32,33,34,35,36,39,40,43,44,45,46,47,48,49,50,51,52,57,58,68,85,
86,107,108,111,112,121,122,133,134,137,138,149,150,151,152,159,160,161,162,
175,176,187,188,204,205,207,208,221,228,229,230,231,234,235,236,237,241,242,
243,313,314,343,397,398,419,420,423,424,425,426,450,451,452,455,617],[1,2,3,4,
5,6,7,8,10,14,15,21,23,24,25,27,28,33,34,35,36,43,44,51,52,57,58,71,72,81,82,
85,86,97,109,110,111,112,141,142,175,176,186,194,204,205,207,208,221,228,229,
230,231,234,235,236,237,241,242,243,273,274,341,403,404,407,416,419,420,422,
446,447,452,454,455,618],[1,2,5,6,7,8,11,12,13,24,25,26,29,30,31,32,33,34,35,
36,37,38,39,40,41,42,47,48,49,50,51,52,55,56,70,87,88,105,106,113,114,115,116,
129,130,131,132,141,142,153,154,155,156,161,162,177,178,189,190,212,213,216,
217,218,219,220,222,223,225,226,227,238,239,240,244,321,322,342,409,410,413,
417,418,421,427,428,429,430,442,443,619],[1,2,3,4,5,6,7,8,10,16,17,21,23,24,
25,27,28,37,38,39,40,45,46,49,50,53,54,75,76,79,80,83,84,97,101,102,107,108,
113,114,183,184,191,196,197,198,199,200,201,202,203,206,209,210,211,214,215,
224,232,233,275,276,333,399,400,401,402,405,406,414,415,431,432,434,439,620],[
1,4,5,6,7,8,11,16,17,21,22,27,31,32,35,36,37,38,39,40,41,42,43,44,45,46,47,48,
49,50,51,52,53,54,69,83,84,101,102,109,110,117,118,123,124,125,126,139,140,
147,148,161,162,163,164,183,184,192,193,197,198,199,200,201,202,203,206,209,
210,211,214,215,224,232,233,297,298,336,411,412,414,415,431,437,438,439,440,
441,444,445,621],[1,2,3,4,5,6,7,8,10,12,13,21,23,24,25,27,28,29,30,31,32,41,
42,47,48,55,56,73,74,77,78,87,88,97,121,122,123,124,129,130,177,178,185,195,
212,213,216,217,218,219,220,222,223,225,226,227,238,239,240,244,277,278,344,
408,413,421,433,435,436,442,443,448,449,453,456,622],[1,2,3,4,5,6,7,8,10,11,
18,19,20,21,22,23,24,25,26,27,28,53,54,68,69,70,89,94,97,98,171,172,173,174,
183,184,191,192,193,196,270,325,326,333,336,337,338,339,340,623],[1,2,3,4,5,6,
7,8,10,11,18,19,20,21,22,23,24,25,26,27,28,57,58,68,69,70,89,94,97,98,167,168,
169,170,175,176,186,187,188,194,270,327,328,331,332,334,335,341,343,624],[1,2,
3,4,5,6,7,8,10,11,18,19,20,21,22,23,24,25,26,27,28,55,56,68,69,70,89,94,97,98,
177,178,179,180,181,182,185,189,190,195,270,329,330,342,344,345,346,347,348,
625],[1,2,6,8,11,25,26,55,56,70,177,178,189,190,342,626],[1,4,5,6,11,22,27,53,
54,69,183,184,192,193,336,627],[1,3,6,7,11,18,23,57,58,68,175,176,187,188,343,
628],[1,2,3,4,5,6,7,8,10,21,23,24,25,27,28,53,54,55,56,57,58,97,175,176,177,
178,183,184,185,186,191,194,195,196,333,341,344,629],[1,5,7,8,14,19,29,30,33,
37,42,44,45,46,54,55,58,90,103,127,146,167,171,180,200,211,223,229,231,244,
271,366,378,382,464,482,501,630],[1,5,7,8,15,20,29,30,34,38,41,43,45,46,54,55,
58,91,104,128,145,168,173,179,199,211,222,228,230,244,272,365,377,381,458,488,
502,631],[1,5,6,7,8,19,29,31,33,35,37,39,42,44,45,53,56,58,100,103,127,146,
167,174,182,205,213,214,218,232,237,271,350,352,376,459,485,503,632],[1,5,6,7,
8,20,30,32,34,36,38,40,41,43,46,53,56,58,99,104,128,145,168,172,181,204,212,
215,217,233,236,272,349,351,375,462,484,499,633],[1,5,6,7,8,15,17,18,19,22,29,
31,35,36,39,40,42,44,45,48,50,51,54,56,57,100,103,120,138,140,143,148,151,159,
164,169,171,182,202,208,213,218,224,242,299,371,376,389,460,465,493,634],[1,5,
6,7,8,14,16,18,20,22,30,32,35,36,39,40,41,43,46,47,49,52,54,56,57,99,104,119,
137,139,144,147,152,160,163,170,173,181,201,207,212,217,224,242,300,372,375,
390,457,466,489,635],[1,5,6,7,8,12,14,18,20,26,30,31,32,34,35,36,38,40,46,47,
49,52,53,55,57,99,106,128,132,133,135,144,149,155,160,170,172,179,207,215,216,
219,233,242,305,349,368,372,474,486,491,636],[1,5,6,7,8,13,15,18,19,26,29,31,
32,33,35,36,37,39,45,48,50,51,53,55,57,100,105,127,131,134,136,143,150,156,
159,169,174,180,208,214,216,220,232,242,306,350,367,371,476,483,496,637],[1,5,
6,7,8,11,12,14,16,17,20,31,35,39,42,44,47,49,52,54,56,58,93,119,135,144,162,
168,173,181,202,203,213,226,231,237,280,356,383,385,470,480,489,638],[1,5,6,7,
8,11,13,15,16,17,19,32,36,40,41,43,48,50,51,54,56,58,92,120,136,143,161,167,
171,182,201,203,212,225,230,236,279,355,384,386,472,479,493,639],[1,5,6,7,8,
12,15,16,20,22,26,29,31,34,38,39,41,43,45,47,49,52,53,56,58,91,115,117,119,
126,135,145,154,155,163,168,172,181,209,218,228,230,232,239,315,362,377,391,
470,473,499,640],[1,5,6,7,8,13,14,17,19,22,26,30,32,33,37,40,42,44,46,48,50,
51,53,56,58,90,116,118,120,125,136,146,153,156,164,167,174,182,210,217,229,
231,233,238,316,361,378,392,472,475,503,641],[1,5,7,8,12,19,29,33,34,37,38,42,
44,45,54,56,57,95,103,127,146,169,171,182,199,206,226,235,239,241,271,358,380,
395,460,481,500,642],[1,5,7,8,13,20,30,33,34,37,38,41,43,46,54,56,57,96,104,
128,145,170,173,181,200,206,225,234,238,241,272,357,379,396,457,487,504,643],[
1,5,6,7,8,12,13,17,19,22,26,32,33,34,37,38,40,42,44,48,50,51,53,55,57,95,116,
118,120,125,136,146,153,156,164,169,174,180,198,215,219,227,235,241,316,359,
370,380,471,476,497,644],[1,5,6,7,8,12,13,16,20,22,26,31,33,34,37,38,39,41,43,
47,49,52,53,55,57,96,115,117,119,126,135,145,154,155,163,170,172,179,197,214,
220,227,234,241,315,360,369,379,469,474,498,645],[1,5,6,7,8,12,13,19,20,26,30,
31,33,34,37,38,41,43,46,47,49,52,54,55,57,95,96,106,128,135,145,154,155,157,
165,170,173,179,200,206,220,227,234,241,295,357,369,379,477,486,502,646],[1,5,
6,7,8,12,13,19,20,26,29,32,33,34,37,38,42,44,45,48,50,51,54,55,57,95,96,105,
127,136,146,153,156,158,166,169,171,180,199,206,219,227,235,241,296,358,370,
380,478,483,501,647],[1,5,6,7,8,13,16,17,19,22,26,32,33,37,40,41,42,43,44,48,
50,51,54,56,57,92,116,118,120,125,136,146,153,156,164,169,171,182,201,203,212,
221,225,234,316,355,386,394,465,478,500,648],[1,5,6,7,8,12,16,17,20,22,26,31,
34,38,39,41,42,43,44,47,49,52,54,56,57,93,115,117,119,126,135,145,154,155,163,
170,173,181,202,203,213,221,226,235,315,356,385,393,466,477,504,649],[1,5,6,7,
8,13,14,16,18,20,22,30,33,35,37,39,41,43,46,47,49,52,53,56,58,96,104,119,137,
139,144,147,152,160,163,168,172,181,197,205,214,225,229,238,300,353,360,396,
462,470,490,650],[1,5,6,7,8,12,15,17,18,19,22,29,34,36,38,40,42,44,45,48,50,
51,53,56,58,95,103,120,138,140,143,148,151,159,164,167,174,182,198,204,215,
226,228,239,299,354,359,395,459,472,492,651],[1,5,6,7,8,13,17,19,22,26,31,32,
33,35,37,39,40,42,44,48,50,51,54,55,58,100,116,118,120,125,136,146,153,156,
164,167,171,180,202,205,216,220,224,237,316,352,367,389,468,479,501,652],[1,5,
6,7,8,12,16,20,22,26,31,32,34,36,38,39,40,41,43,47,49,52,54,55,58,99,115,117,
119,126,135,145,154,155,163,168,173,179,201,204,216,219,224,236,315,351,368,
390,467,480,502,653],[1,5,6,7,8,13,14,18,19,20,30,33,34,35,37,38,41,43,46,47,
49,52,54,56,58,90,96,104,128,133,144,152,157,160,165,168,173,181,200,205,206,
225,229,238,310,353,357,396,458,484,489,654],[1,5,6,7,8,12,15,18,19,20,29,33,
34,36,37,38,42,44,45,48,50,51,54,56,58,91,95,103,127,134,143,151,158,159,166,
167,171,182,199,204,206,226,228,239,309,354,358,395,464,485,493,655],[1,5,6,7,
8,14,17,18,19,20,30,34,35,38,41,42,43,44,46,47,49,52,53,55,58,90,93,104,128,
133,144,152,157,160,165,168,172,179,198,210,223,231,237,240,310,363,383,387,
462,488,491,656],[1,5,6,7,8,15,16,18,19,20,29,33,36,37,41,42,43,44,45,48,50,
51,53,55,58,91,92,103,127,134,143,151,158,159,166,167,174,180,197,209,222,230,
236,240,309,364,384,388,459,482,496,657],[1,5,6,7,8,14,18,19,20,30,32,34,35,
36,38,40,41,43,46,47,49,52,53,56,57,90,99,104,128,133,144,152,157,160,165,170,
172,181,207,212,215,217,233,242,310,349,372,375,463,487,490,658],[1,5,6,7,8,
15,18,19,20,29,31,33,35,36,37,39,42,44,45,48,50,51,53,56,57,91,100,103,127,
134,143,151,158,159,166,169,174,182,208,213,214,218,232,242,309,350,371,376,
461,481,492,659],[1,5,6,7,8,15,16,17,18,19,22,29,36,40,41,42,43,44,45,48,50,
51,54,55,58,92,103,120,138,140,143,148,151,159,164,167,171,180,201,203,222,
230,236,240,299,364,384,386,464,468,494,660],[1,5,6,7,8,14,16,17,18,20,22,30,
35,39,41,42,43,44,46,47,49,52,54,55,58,93,104,119,137,139,144,147,152,160,163,
168,173,179,202,203,223,231,237,240,300,363,383,385,458,467,495,661],[1,5,6,7,
8,12,14,17,18,20,26,30,31,34,35,38,42,44,46,47,49,52,53,56,58,93,106,128,132,
133,135,144,149,155,160,168,172,181,198,210,213,226,231,237,305,356,383,387,
473,484,490,662],[1,5,6,7,8,13,15,16,18,19,26,29,32,33,36,37,41,43,45,48,50,
51,53,56,58,92,105,127,131,134,136,143,150,156,159,167,174,182,197,209,212,
225,230,236,306,355,384,388,475,485,492,663],[1,5,6,7,8,12,13,14,18,20,26,30,
31,33,34,35,37,38,46,47,49,52,54,55,58,96,106,128,132,133,135,144,149,155,160,
168,173,179,200,205,206,220,227,229,305,353,357,369,480,488,495,664],[1,5,6,7,
8,12,13,15,18,19,26,29,32,33,34,36,37,38,45,48,50,51,54,55,58,95,105,127,131,
134,136,143,150,156,159,167,171,180,199,204,206,219,227,228,306,354,358,370,
479,482,494,665],[1,5,6,7,8,12,17,19,20,22,29,33,34,37,38,40,42,44,45,48,50,
51,53,56,57,93,95,103,120,125,146,148,158,164,166,169,174,182,198,215,226,235,
239,241,312,359,380,395,461,465,503,666],[1,5,6,7,8,13,16,19,20,22,30,33,34,
37,38,39,41,43,46,47,49,52,53,56,57,92,96,104,119,126,145,147,157,163,165,170,
172,181,197,214,225,234,238,241,311,360,379,396,463,466,499,667],[1,5,6,7,8,
12,17,19,20,26,30,31,34,38,41,42,43,44,46,47,49,52,53,56,57,93,95,106,128,135,
145,154,155,157,165,170,172,181,198,210,213,221,226,235,295,356,387,393,474,
487,499,668],[1,5,6,7,8,13,16,19,20,26,29,32,33,37,41,42,43,44,45,48,50,51,53,
56,57,92,96,105,127,136,146,153,156,158,166,169,174,182,197,209,212,221,225,
234,296,355,388,394,476,481,503,669],[1,5,6,7,8,11,12,13,15,17,19,32,34,36,38,
40,48,50,51,53,55,58,95,120,136,143,161,167,174,180,198,204,215,219,227,228,
279,354,359,370,468,475,496,670],[1,5,6,7,8,11,12,13,14,16,20,31,33,35,37,39,
47,49,52,53,55,58,96,119,135,144,162,168,172,179,197,205,214,220,227,229,280,
353,360,369,467,473,491,671],[1,5,6,7,8,14,15,17,18,19,22,29,30,36,40,42,44,
45,46,48,50,51,53,55,57,90,103,120,138,140,143,148,151,159,164,169,174,180,
207,210,223,233,243,244,299,361,366,373,461,471,496,672],[1,5,6,7,8,14,15,16,
18,20,22,29,30,35,39,41,43,45,46,47,49,52,53,55,57,91,104,119,137,139,144,147,
152,160,163,170,172,179,208,209,222,232,243,244,300,362,365,374,463,469,491,
673],[1,5,6,7,8,11,12,14,15,16,20,29,31,35,39,45,47,49,52,53,56,57,91,119,135,
144,162,170,172,181,208,209,218,232,239,243,280,362,374,391,466,474,490,674],[
1,5,6,7,8,11,13,14,15,17,19,30,32,36,40,46,48,50,51,53,56,57,90,120,136,143,
161,169,174,182,207,210,217,233,238,243,279,361,373,392,465,476,492,675],[1,5,
6,7,8,16,17,19,20,22,30,34,38,39,41,42,43,44,46,47,49,52,54,55,57,92,93,104,
119,126,145,147,157,163,165,170,173,179,202,203,221,223,235,240,311,363,385,
393,457,469,502,676],[1,5,6,7,8,16,17,19,20,22,29,33,37,40,41,42,43,44,45,48,
50,51,54,55,57,92,93,103,120,125,146,148,158,164,166,169,171,180,201,203,221,
222,234,240,312,364,386,394,460,471,501,677],[1,5,7,8,16,19,29,33,37,41,42,43,
44,45,53,55,57,92,103,127,146,169,174,180,197,209,221,222,234,240,271,364,388,
394,461,483,497,678],[1,5,7,8,17,20,30,34,38,41,42,43,44,46,53,55,57,93,104,
128,145,170,172,179,198,210,221,223,235,240,272,363,387,393,463,486,498,679],[
1,5,6,7,8,16,19,20,22,30,32,34,36,38,39,40,41,43,46,47,49,52,54,56,58,92,99,
104,119,126,145,147,157,163,165,168,173,181,201,204,212,217,224,236,311,351,
375,390,458,470,504,680],[1,5,6,7,8,17,19,20,22,29,31,33,35,37,39,40,42,44,45,
48,50,51,54,56,58,93,100,103,120,125,146,148,158,164,166,167,171,182,202,205,
213,218,224,237,312,352,376,389,464,472,500,681],[1,5,6,7,8,12,15,19,20,26,29,
30,31,34,38,41,43,45,46,47,49,52,54,56,58,91,95,106,128,135,145,154,155,157,
165,168,173,181,199,211,218,228,230,239,295,377,381,391,480,484,504,682],[1,5,
6,7,8,13,14,19,20,26,29,30,32,33,37,42,44,45,46,48,50,51,54,56,58,90,96,105,
127,136,146,153,156,158,166,167,171,182,200,211,217,229,231,238,296,378,382,
392,479,485,500,683],[1,5,6,7,8,14,15,18,19,20,29,30,33,36,37,42,44,45,46,48,
50,51,54,55,57,90,91,103,127,134,143,151,158,159,166,169,171,180,200,207,211,
223,243,244,309,366,373,382,460,483,494,684],[1,5,6,7,8,14,15,18,19,20,29,30,
34,35,38,41,43,45,46,47,49,52,54,55,57,90,91,104,128,133,144,152,157,160,165,
170,173,179,199,208,211,222,243,244,310,365,374,381,457,486,495,685],[1,5,6,7,
8,12,19,20,26,30,31,32,34,36,38,40,41,43,46,47,49,52,53,55,58,95,99,106,128,
135,145,154,155,157,165,168,172,179,204,215,216,219,233,236,295,349,351,368,
473,488,498,686],[1,5,6,7,8,13,19,20,26,29,31,32,33,35,37,39,42,44,45,48,50,
51,53,55,58,96,100,105,127,136,146,153,156,158,166,167,174,180,205,214,216,
220,232,237,296,350,352,367,475,482,497,687],[1,5,6,7,8,15,16,19,20,22,29,30,
34,38,39,41,43,45,46,47,49,52,53,55,58,91,92,104,119,126,145,147,157,163,165,
168,172,179,209,222,228,230,232,244,311,362,365,377,462,467,498,688],[1,5,6,7,
8,14,17,19,20,22,29,30,33,37,40,42,44,45,46,48,50,51,53,55,58,90,93,103,120,
125,146,148,158,164,166,167,174,180,210,223,229,231,233,244,312,361,366,378,
459,468,497,689],[1,5,6,7,8,12,14,15,18,20,26,29,30,31,34,35,38,45,46,47,49,
52,54,56,57,91,106,128,132,133,135,144,149,155,160,170,173,181,199,208,211,
218,239,243,305,374,381,391,477,487,489,690],[1,5,6,7,8,13,14,15,18,19,26,29,
30,32,33,36,37,45,46,48,50,51,54,56,57,90,105,127,131,134,136,143,150,156,159,
169,171,182,200,207,211,217,238,243,306,373,382,392,478,481,493,691],[1,5,6,7,
8,11,13,15,17,19,31,32,35,36,39,40,48,50,51,54,55,57,100,120,136,143,161,169,
171,180,202,208,216,220,224,242,279,367,371,389,471,478,494,692],[1,5,6,7,8,
11,12,14,16,20,31,32,35,36,39,40,47,49,52,54,55,57,99,119,135,144,162,170,173,
179,201,207,216,219,224,242,280,368,372,390,469,477,495,693],[1,3,5,6,7,8,16,
19,20,22,23,26,28,30,31,34,38,39,43,46,47,49,52,55,56,57,79,89,108,112,117,
119,121,128,147,155,157,169,170,175,179,181,189,195,294,327,345,466,469,486,
487,694],[1,3,5,6,7,8,16,19,20,22,23,26,28,30,31,34,38,39,43,46,47,49,52,55,
56,58,79,89,108,112,117,119,121,128,147,155,157,167,168,176,179,181,189,195,
294,328,345,467,470,484,488,695],[1,3,5,6,7,8,17,19,20,22,23,26,28,29,32,33,
37,40,44,45,48,50,51,55,56,57,80,89,107,111,118,120,122,127,148,156,158,169,
170,175,180,182,190,195,293,327,346,465,471,481,483,696],[1,3,5,6,7,8,17,19,
20,22,23,26,28,29,32,33,37,40,44,45,48,50,51,55,56,58,80,89,107,111,118,120,
122,127,148,156,158,167,168,176,180,182,190,195,293,328,346,468,472,482,485,
697],[1,2,5,6,7,8,16,18,19,20,22,24,25,30,34,35,38,39,41,46,47,49,52,56,57,58,
76,94,114,119,126,128,129,139,142,160,165,168,170,177,181,182,187,194,308,329,
335,466,470,484,487,698],[1,2,5,6,7,8,16,18,19,20,22,24,25,30,34,35,38,39,41,
46,47,49,52,55,57,58,76,94,114,119,126,128,129,139,142,160,165,168,170,178,
179,180,187,194,308,330,335,467,469,486,488,699],[1,2,5,6,7,8,17,18,19,20,22,
24,25,29,33,36,37,40,42,45,48,50,51,55,57,58,75,94,113,120,125,127,130,140,
141,159,166,167,169,178,179,180,188,194,307,330,334,468,471,482,483,700],[1,2,
5,6,7,8,17,18,19,20,22,24,25,29,33,36,37,40,42,45,48,50,51,56,57,58,75,94,113,
120,125,127,130,140,141,159,166,167,169,177,181,182,188,194,307,329,334,465,
472,481,485,701],[1,4,5,6,7,8,17,18,19,20,21,26,27,32,36,40,42,44,48,51,55,56,
57,58,83,93,98,99,109,116,120,124,138,167,169,180,182,185,186,187,189,290,332,
348,465,468,471,472,702],[1,4,5,6,7,8,16,18,19,20,21,26,27,31,35,39,41,43,47,
52,55,56,57,58,84,92,98,100,110,115,119,123,137,168,170,179,181,185,186,188,
190,289,331,347,466,467,469,470,703],[1,3,5,6,7,8,13,19,20,22,23,26,28,29,32,
33,40,42,44,45,48,50,51,53,54,58,74,89,103,105,107,111,116,122,136,164,166,
167,168,171,174,176,191,192,303,328,338,459,464,475,479,704],[1,3,5,6,7,8,12,
19,20,22,23,26,28,30,31,34,39,41,43,46,47,49,52,53,54,58,73,89,104,106,108,
112,115,121,135,163,165,167,168,172,173,176,191,193,304,328,337,458,462,473,
480,705],[1,3,5,6,7,8,12,19,20,22,23,26,28,30,31,34,39,41,43,46,47,49,52,53,
54,57,73,89,104,106,108,112,115,121,135,163,165,169,170,172,173,175,191,193,
304,327,337,457,463,474,477,706],[1,3,5,6,7,8,13,19,20,22,23,26,28,29,32,33,
40,42,44,45,48,50,51,53,54,57,74,89,103,105,107,111,116,122,136,164,166,169,
170,171,174,175,191,192,303,327,338,460,461,476,478,707],[1,3,5,6,7,8,14,19,
20,22,23,26,28,30,31,35,39,46,47,49,53,54,55,56,86,89,90,100,108,121,132,139,
144,172,173,179,181,189,191,193,195,282,337,345,489,490,491,495,708],[1,3,5,6,
7,8,15,19,20,22,23,26,28,29,32,36,40,45,48,50,53,54,55,56,85,89,91,99,107,122,
131,140,143,171,174,180,182,190,191,192,195,281,338,346,492,493,494,496,709],[
1,4,5,6,7,8,14,18,19,20,21,26,27,31,34,35,38,41,43,46,47,49,52,54,55,56,72,98,
101,110,123,144,145,149,152,155,165,171,173,179,181,184,185,190,320,325,347,
489,495,502,504,710],[1,4,5,6,7,8,15,18,19,20,21,26,27,32,33,36,37,42,44,45,
48,50,51,54,55,56,71,98,102,109,124,143,146,150,151,156,166,171,173,180,182,
184,185,189,319,325,348,493,494,500,501,711],[1,4,5,6,7,8,15,18,19,20,21,26,
27,32,33,36,37,42,44,45,48,50,51,53,55,56,71,98,102,109,124,143,146,150,151,
156,166,172,174,180,182,183,185,189,319,326,348,492,496,497,503,712],[1,4,5,6,
7,8,14,18,19,20,21,26,27,31,34,35,38,41,43,46,47,49,52,53,55,56,72,98,101,110,
123,144,145,149,152,155,165,172,174,179,181,183,185,190,320,326,347,490,491,
498,499,713],[1,2,5,6,7,8,13,18,19,20,22,24,25,32,33,36,37,40,50,51,53,54,57,
58,88,94,96,99,113,118,136,141,150,167,169,171,174,188,193,194,196,287,334,
340,475,476,478,479,714],[1,2,5,6,7,8,12,18,19,20,22,24,25,31,34,35,38,39,49,
52,53,54,57,58,87,94,95,100,114,117,135,142,149,168,170,172,173,187,192,194,
196,288,335,339,473,474,477,480,715],[1,2,5,6,7,8,15,17,18,19,20,22,24,25,29,
42,44,45,48,53,54,57,58,75,81,91,93,94,103,130,148,151,167,169,171,174,188,
193,194,196,292,334,340,459,460,461,464,716],[1,2,5,6,7,8,14,16,18,19,20,22,
24,25,30,41,43,46,47,53,54,57,58,76,82,90,92,94,104,129,147,152,168,170,172,
173,187,192,194,196,291,335,339,457,458,462,463,717],[1,2,5,6,7,8,15,18,19,20,
22,24,25,29,33,36,37,40,42,44,48,50,51,53,54,56,81,94,113,130,134,138,141,143,
146,158,164,171,174,177,181,182,193,196,301,329,340,492,493,500,503,718],[1,2,
5,6,7,8,15,18,19,20,22,24,25,29,33,36,37,40,42,44,48,50,51,53,54,55,81,94,113,
130,134,138,141,143,146,158,164,171,174,178,179,180,193,196,301,330,340,494,
496,497,501,719],[1,2,5,6,7,8,14,18,19,20,22,24,25,30,34,35,38,39,41,43,47,49,
52,53,54,55,82,94,114,129,133,137,142,144,145,157,163,172,173,178,179,180,192,
196,302,330,339,491,495,498,502,720],[1,2,5,6,7,8,14,18,19,20,22,24,25,30,34,
35,38,39,41,43,47,49,52,53,54,56,82,94,114,129,133,137,142,144,145,157,163,
172,173,177,181,182,192,196,302,329,339,489,490,499,504,721],[1,4,5,6,7,8,13,
18,19,20,21,26,27,29,32,36,37,42,44,45,48,50,51,53,57,58,77,98,102,103,109,
124,131,136,153,158,159,167,169,172,174,183,186,187,318,326,332,459,461,475,
476,722],[1,4,5,6,7,8,13,18,19,20,21,26,27,29,32,36,37,42,44,45,48,50,51,54,
57,58,77,98,102,103,109,124,131,136,153,158,159,167,169,171,173,184,186,187,
318,325,332,460,464,478,479,723],[1,4,5,6,7,8,12,18,19,20,21,26,27,30,31,35,
38,41,43,46,47,49,52,54,57,58,78,98,101,104,110,123,132,135,154,157,160,168,
170,171,173,184,186,188,317,325,331,457,458,477,480,724],[1,4,5,6,7,8,12,18,
19,20,21,26,27,30,31,35,38,41,43,46,47,49,52,53,57,58,78,98,101,104,110,123,
132,135,154,157,160,168,170,172,174,183,186,188,317,326,331,462,463,473,474,
725],[1,4,5,6,7,8,12,14,18,19,20,21,26,27,30,34,38,46,49,55,56,57,58,72,78,90,
95,98,101,106,128,133,168,170,179,181,185,186,188,190,283,331,347,484,486,487,
488,726],[1,4,5,6,7,8,13,15,18,19,20,21,26,27,29,33,37,45,50,55,56,57,58,71,
77,91,96,98,102,105,127,134,167,169,180,182,185,186,187,189,284,332,348,481,
482,483,485,727],[1,3,5,6,7,8,13,17,19,20,22,23,26,28,33,37,42,44,51,53,54,55,
56,74,80,89,93,96,111,125,146,153,171,174,180,182,190,191,192,195,286,338,346,
497,500,501,503,728],[1,3,5,6,7,8,12,16,19,20,22,23,26,28,34,38,41,43,52,53,
54,55,56,73,79,89,92,95,112,126,145,154,172,173,179,181,189,191,193,195,285,
337,345,498,499,502,504,729],[1,3,6,7,9,23,60,64,66,245,266,505,508,511,730],[
1,4,7,8,9,21,62,63,64,245,263,505,506,509,731],[1,4,5,6,9,27,62,65,66,245,262,
507,508,509,732],[1,2,5,7,9,24,61,64,65,245,264,505,507,510,733],[1,3,5,8,9,
28,60,63,65,245,265,506,507,511,734],[1,2,6,8,9,25,61,63,66,245,261,506,508,
510,735],[1,2,3,4,9,10,60,61,62,245,260,509,510,511,736],[1,8,9,56,63,245,506,
737],[1,8,9,55,63,245,506,738],[1,5,9,53,65,245,507,739],[1,5,9,54,65,245,507,
740],[1,7,9,57,64,245,505,741],[1,7,9,58,64,245,505,742],[1,2,3,4,5,6,7,8,10,
21,23,24,25,27,28,59,97,246,247,248,249,250,251,252,512,513,514,515,516,517,
518,743],[1,3,9,60,67,268,519,744],[1,4,9,62,67,269,519,745],[1,2,9,61,67,267,
519,746],[1,5,6,7,8,9,11,13,15,17,19,32,36,40,48,50,51,120,136,143,161,254,
256,257,259,279,747],[1,5,6,7,8,9,11,12,14,16,20,31,35,39,47,49,52,119,135,
144,162,253,255,258,259,280,748],[1,3,6,7,9,14,15,23,35,36,57,60,64,66,85,86,
175,207,208,242,243,257,266,455,531,543,547,749],[1,3,6,7,9,14,15,23,35,36,57,
60,64,66,85,86,175,207,208,242,243,258,266,455,530,542,546,750],[1,2,5,6,7,8,
9,17,24,25,38,39,45,49,53,54,61,63,66,75,114,196,198,199,202,232,256,261,406,
522,524,557,751],[1,2,5,6,7,8,9,16,24,25,37,40,46,50,53,54,61,63,66,76,113,
196,197,200,201,233,255,261,405,523,525,556,752],[1,2,5,7,9,14,15,24,43,44,57,
58,61,64,65,81,82,194,221,230,231,243,257,264,454,527,531,545,753],[1,2,5,7,9,
14,15,24,43,44,57,58,61,64,65,81,82,194,221,230,231,243,258,264,454,526,530,
544,754],[1,3,5,6,7,8,9,15,23,28,34,36,43,52,58,60,63,65,85,112,176,204,228,
230,236,257,265,419,527,535,547,755],[1,3,5,6,7,8,9,14,23,28,33,35,44,51,58,
60,63,65,86,111,176,205,229,231,237,258,265,420,526,534,546,756],[1,4,7,8,9,
12,13,21,29,30,55,56,62,63,64,77,78,185,227,238,239,244,254,263,408,529,537,
553,757],[1,4,7,8,9,12,13,21,29,30,55,56,62,63,64,77,78,185,227,238,239,244,
253,263,408,528,536,552,758],[1,3,5,6,7,8,9,13,23,28,30,31,42,47,55,56,60,64,
66,74,121,195,213,220,223,238,254,266,449,529,539,551,759],[1,3,5,6,7,8,9,12,
23,28,29,32,41,48,55,56,60,64,66,73,122,195,212,219,222,239,253,266,448,528,
538,550,760],[1,3,5,8,9,12,13,28,41,42,55,56,60,63,65,73,74,195,225,226,227,
240,254,265,433,537,541,551,761],[1,3,5,8,9,12,13,28,41,42,55,56,60,63,65,73,
74,195,225,226,227,240,253,265,433,536,540,550,762],[1,4,5,6,9,16,17,27,39,40,
54,62,65,66,83,84,184,201,202,203,224,256,262,431,524,533,555,763],[1,4,5,6,9,
16,17,27,39,40,54,62,65,66,83,84,184,201,202,203,224,255,262,431,525,532,554,
764],[1,4,5,6,7,8,9,17,21,27,38,40,46,49,53,62,63,64,83,101,183,198,210,215,
233,256,263,415,520,522,555,765],[1,4,5,6,7,8,9,16,21,27,37,39,45,50,53,62,63,
64,84,102,183,197,209,214,232,255,263,414,521,523,554,766],[1,4,5,6,7,8,9,15,
21,27,33,35,43,52,57,58,62,65,66,71,110,186,205,208,230,234,257,262,403,527,
543,560,767],[1,4,5,6,7,8,9,14,21,27,34,36,44,51,57,58,62,65,66,72,109,186,
204,207,231,235,258,262,404,526,542,561,768],[1,2,5,6,7,8,9,12,24,25,29,31,42,
48,56,61,64,65,87,130,177,213,218,226,239,253,264,443,528,540,558,769],[1,2,5,
6,7,8,9,13,24,25,30,32,41,47,56,61,64,65,88,129,177,212,217,225,238,254,264,
442,529,541,559,770],[1,3,5,6,7,8,9,17,23,28,37,39,46,49,53,54,60,64,66,80,
108,191,200,202,210,214,256,266,400,520,524,549,771],[1,3,5,6,7,8,9,16,23,28,
38,40,45,50,53,54,60,64,66,79,107,191,199,201,209,215,255,266,401,521,525,548,
772],[1,4,5,6,7,8,9,12,21,27,30,32,42,48,55,56,62,65,66,78,124,185,217,219,
223,226,253,262,435,538,540,552,773],[1,4,5,6,7,8,9,13,21,27,29,31,41,47,55,
56,62,65,66,77,123,185,218,220,222,225,254,262,436,539,541,553,774],[1,2,5,6,
7,8,9,15,24,25,34,35,44,52,57,58,61,63,66,81,142,194,208,228,235,237,257,261,
446,535,543,545,775],[1,2,5,6,7,8,9,14,24,25,33,36,43,51,57,58,61,63,66,82,
141,194,207,229,234,236,258,261,447,534,542,544,776],[1,2,6,8,9,12,13,25,31,
32,55,61,63,66,87,88,178,216,219,220,227,254,261,413,537,539,559,777],[1,2,6,
8,9,12,13,25,31,32,55,61,63,66,87,88,178,216,219,220,227,253,261,413,536,538,
558,778],[1,4,7,8,9,14,15,21,33,34,57,58,62,63,64,71,72,186,228,229,241,243,
258,263,416,530,534,561,779],[1,4,7,8,9,14,15,21,33,34,57,58,62,63,64,71,72,
186,228,229,241,243,257,263,416,531,535,560,780],[1,3,5,8,9,16,17,28,37,38,53,
54,60,63,65,79,80,191,197,198,203,206,256,265,434,522,533,549,781],[1,3,5,8,9,
16,17,28,37,38,53,54,60,63,65,79,80,191,197,198,203,206,255,265,434,523,532,
548,782],[1,2,5,7,9,16,17,24,45,46,53,54,61,64,65,75,76,196,203,209,210,211,
255,264,402,521,532,556,783],[1,2,5,7,9,16,17,24,45,46,53,54,61,64,65,75,76,
196,203,209,210,211,256,264,402,520,533,557,784],[1,2,3,4,5,6,7,8,9,10,15,21,
23,24,25,27,28,33,36,44,51,60,61,62,71,81,85,97,109,111,141,257,260,273,545,
547,560,785],[1,2,3,4,5,6,7,8,9,10,14,21,23,24,25,27,28,34,35,43,52,60,61,62,
72,82,86,97,110,112,142,258,260,274,544,546,561,786],[1,2,3,4,5,6,7,8,9,10,13,
21,23,24,25,27,28,29,32,42,48,60,61,62,74,77,88,97,122,124,130,254,260,278,
551,553,559,787],[1,2,3,4,5,6,7,8,9,10,12,21,23,24,25,27,28,30,31,41,47,60,61,
62,73,78,87,97,121,123,129,253,260,277,550,552,558,788],[1,2,3,4,5,6,7,8,9,10,
17,21,23,24,25,27,28,37,40,45,50,60,61,62,75,80,83,97,102,107,113,256,260,275,
549,555,557,789],[1,2,3,4,5,6,7,8,9,10,16,21,23,24,25,27,28,38,39,46,49,60,61,
62,76,79,84,97,101,108,114,255,260,276,548,554,556,790],[1,2,3,4,5,6,7,8,9,10,
11,18,19,20,21,22,23,24,25,26,27,28,60,61,62,68,69,70,89,94,97,98,259,260,270,
562,563,564,791],[1,6,9,11,59,66,251,259,792],[1,5,9,16,59,65,249,255,793],[1,
5,9,17,59,65,249,256,794],[1,8,9,13,59,63,250,254,795],[1,8,9,12,59,63,250,
253,796],[1,7,9,14,59,64,252,258,797],[1,7,9,15,59,64,252,257,798],[1,2,3,4,5,
6,7,8,10,11,13,15,17,18,19,20,21,22,23,24,25,26,27,28,29,32,33,36,37,40,42,44,
45,48,50,51,68,69,70,71,74,75,77,80,81,83,85,88,89,91,93,94,96,97,98,99,102,
103,105,107,109,111,113,116,118,120,122,124,125,127,130,131,134,136,138,140,
141,143,146,148,150,151,153,156,158,159,161,164,166,270,271,273,275,278,279,
281,284,286,287,290,292,293,296,297,299,301,303,306,307,309,312,313,316,318,
319,322,324,567,570,571,573,576,578,579,799],[1,2,3,4,5,6,7,8,10,11,12,14,16,
18,19,20,21,22,23,24,25,26,27,28,30,31,34,35,38,39,41,43,46,47,49,52,68,69,70,
72,73,76,78,79,82,84,86,87,89,90,92,94,95,97,98,100,101,104,106,108,110,112,
114,115,117,119,121,123,126,128,129,132,133,135,137,139,142,144,145,147,149,
152,154,155,157,160,162,163,165,270,272,274,276,277,280,282,283,285,288,289,
291,294,295,298,300,302,304,305,308,310,311,314,315,317,320,321,323,568,569,
572,574,575,577,580,800],[1,2,3,4,5,6,7,8,10,11,18,19,20,21,22,23,24,25,26,27,
28,57,58,68,69,70,89,94,97,98,167,168,169,170,175,176,186,187,188,194,270,327,
328,331,332,334,335,341,343,624,628,801],[1,2,3,4,5,6,7,8,10,11,18,19,20,21,
22,23,24,25,26,27,28,53,54,68,69,70,89,94,97,98,171,172,173,174,183,184,191,
192,193,196,270,325,326,333,336,337,338,339,340,623,627,802],[1,2,3,4,5,6,7,8,
10,11,18,19,20,21,22,23,24,25,26,27,28,55,56,68,69,70,89,94,97,98,177,178,179,
180,181,182,185,189,190,195,270,329,330,342,344,345,346,347,348,625,626,803],[
1,2,3,4,5,6,7,8,10,11,18,19,20,21,22,23,24,25,26,27,28,53,54,55,56,57,58,68,
69,70,89,94,97,98,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,
182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,270,325,326,327,
328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,
347,348,623,624,625,629,804],[1,2,3,4,5,6,7,8,10,11,12,14,16,18,19,20,21,22,
23,24,25,26,27,28,30,31,34,35,38,39,41,43,46,47,49,52,53,54,57,58,68,69,70,72,
73,76,78,79,82,84,86,87,89,90,92,94,95,97,98,100,101,104,106,108,110,112,114,
115,117,119,121,123,126,128,129,132,133,135,137,139,142,144,145,147,149,152,
154,155,157,160,162,163,165,167,168,169,170,171,172,173,174,175,176,183,184,
186,187,188,191,192,193,194,196,270,274,276,277,282,283,285,288,289,291,294,
298,302,304,308,314,317,320,321,325,326,327,328,331,332,333,334,335,336,337,
338,339,340,341,343,457,458,462,463,473,474,477,480,580,623,624,705,706,715,
717,724,725,805],[1,2,3,4,5,6,7,8,10,11,13,15,17,18,19,20,21,22,23,24,25,26,
27,28,29,32,33,36,37,40,42,44,45,48,50,51,53,54,57,58,68,69,70,71,74,75,77,80,
81,83,85,88,89,91,93,94,96,97,98,99,102,103,105,107,109,111,113,116,118,120,
122,124,125,127,130,131,134,136,138,140,141,143,146,148,150,151,153,156,158,
159,161,164,166,167,168,169,170,171,172,173,174,175,176,183,184,186,187,188,
191,192,193,194,196,270,273,275,278,281,284,286,287,290,292,293,297,301,303,
307,313,318,319,322,325,326,327,328,331,332,333,334,335,336,337,338,339,340,
341,343,459,460,461,464,475,476,478,479,579,623,624,704,707,714,716,722,723,
806],[1,2,3,4,5,6,7,8,10,11,12,14,16,18,19,20,21,22,23,24,25,26,27,28,30,31,
34,35,38,39,41,43,46,47,49,52,55,56,57,58,68,69,70,72,73,76,78,79,82,84,86,87,
89,90,92,94,95,97,98,100,101,104,106,108,110,112,114,115,117,119,121,123,126,
128,129,132,133,135,137,139,142,144,145,147,149,152,154,155,157,160,162,163,
165,167,168,169,170,175,176,177,178,179,180,181,182,185,186,187,188,189,190,
194,195,270,274,276,277,282,283,285,288,289,291,294,298,302,304,308,314,317,
320,321,327,328,329,330,331,332,334,335,341,342,343,344,345,346,347,348,466,
467,469,470,484,486,487,488,580,624,625,694,695,698,699,703,726,807],[1,2,3,4,
5,6,7,8,10,11,13,15,17,18,19,20,21,22,23,24,25,26,27,28,29,32,33,36,37,40,42,
44,45,48,50,51,55,56,57,58,68,69,70,71,74,75,77,80,81,83,85,88,89,91,93,94,96,
97,98,99,102,103,105,107,109,111,113,116,118,120,122,124,125,127,130,131,134,
136,138,140,141,143,146,148,150,151,153,156,158,159,161,164,166,167,168,169,
170,175,176,177,178,179,180,181,182,185,186,187,188,189,190,194,195,270,273,
275,278,281,284,286,287,290,292,293,297,301,303,307,313,318,319,322,327,328,
329,330,331,332,334,335,341,342,343,344,345,346,347,348,465,468,471,472,481,
482,483,485,579,624,625,696,697,700,701,702,727,808],[1,2,3,4,5,6,7,8,10,11,
12,14,16,18,19,20,21,22,23,24,25,26,27,28,30,31,34,35,38,39,41,43,46,47,49,52,
53,54,55,56,68,69,70,72,73,76,78,79,82,84,86,87,89,90,92,94,95,97,98,100,101,
104,106,108,110,112,114,115,117,119,121,123,126,128,129,132,133,135,137,139,
142,144,145,147,149,152,154,155,157,160,162,163,165,171,172,173,174,177,178,
179,180,181,182,183,184,185,189,190,191,192,193,195,196,270,274,276,277,282,
283,285,288,289,291,294,298,302,304,308,314,317,320,321,325,326,329,330,333,
336,337,338,339,340,342,344,345,346,347,348,489,490,491,495,498,499,502,504,
580,623,625,708,710,713,720,721,729,809],[1,2,3,4,5,6,7,8,10,11,13,15,17,18,
19,20,21,22,23,24,25,26,27,28,29,32,33,36,37,40,42,44,45,48,50,51,53,54,55,56,
68,69,70,71,74,75,77,80,81,83,85,88,89,91,93,94,96,97,98,99,102,103,105,107,
109,111,113,116,118,120,122,124,125,127,130,131,134,136,138,140,141,143,146,
148,150,151,153,156,158,159,161,164,166,171,172,173,174,177,178,179,180,181,
182,183,184,185,189,190,191,192,193,195,196,270,273,275,278,281,284,286,287,
290,292,293,297,301,303,307,313,318,319,322,325,326,329,330,333,336,337,338,
339,340,342,344,345,346,347,348,492,493,494,496,497,500,501,503,579,623,625,
709,711,712,718,719,728,810],[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,
46,47,48,49,50,51,52,53,54,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,
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,
165,166,171,172,173,174,183,184,191,192,193,196,197,198,199,200,201,202,203,
206,209,210,211,214,215,224,232,233,270,273,274,275,276,277,278,281,282,283,
284,285,286,287,288,289,290,291,292,293,294,297,298,301,302,303,304,307,308,
313,314,317,318,319,320,321,322,325,326,333,336,337,338,339,340,349,350,357,
358,359,360,361,362,381,382,385,386,387,388,389,390,399,400,401,402,405,406,
411,412,414,415,431,432,434,437,438,439,440,441,444,445,579,580,585,588,591,
592,593,594,597,598,599,600,601,602,620,621,623,811],[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,
38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,55,56,68,69,70,71,72,73,74,75,76,
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,
159,160,161,162,163,164,165,166,177,178,179,180,181,182,185,189,190,195,212,
213,216,217,218,219,220,222,223,225,226,227,238,239,240,244,270,273,274,275,
276,277,278,281,282,283,284,285,286,287,288,289,290,291,292,293,294,297,298,
301,302,303,304,307,308,313,314,317,318,319,320,321,322,329,330,342,344,345,
346,347,348,355,356,363,364,365,366,367,368,369,370,375,376,391,392,395,396,
408,409,410,413,417,418,421,427,428,429,430,433,435,436,442,443,448,449,453,
456,579,580,583,586,587,590,605,606,607,608,609,610,615,616,619,622,625,812],[
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,
30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,57,58,68,
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,
153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,175,
176,186,187,188,194,204,205,207,208,221,228,229,230,231,234,235,236,237,241,
242,243,270,273,274,275,276,277,278,281,282,283,284,285,286,287,288,289,290,
291,292,293,294,297,298,301,302,303,304,307,308,313,314,317,318,319,320,321,
322,327,328,331,332,334,335,341,343,351,352,353,354,371,372,373,374,377,378,
379,380,383,384,393,394,397,398,403,404,407,416,419,420,422,423,424,425,426,
446,447,450,451,452,454,455,579,580,581,582,584,589,595,596,603,604,611,612,
613,614,617,618,624,813],[1,2,5,6,7,8,11,12,14,15,16,17,18,19,20,22,24,25,26,
29,30,31,34,35,38,39,41,42,43,44,45,46,47,48,49,52,53,54,56,57,58,70,75,76,81,
82,87,91,93,94,95,100,103,106,114,115,117,119,126,128,129,130,132,133,135,137,
139,142,144,145,148,149,151,154,155,157,160,162,163,165,168,170,172,173,177,
181,182,187,192,194,196,198,199,202,203,208,209,210,211,213,218,221,226,228,
230,231,232,235,237,239,243,280,288,292,295,302,305,308,315,321,323,329,335,
339,356,362,374,376,377,381,383,385,387,391,393,395,397,402,406,411,425,441,
443,446,454,466,470,473,474,477,480,484,487,489,490,499,504,577,587,597,611,
638,640,649,662,668,674,682,690,698,715,721,814],[1,2,5,6,7,8,11,13,14,15,16,
17,18,19,20,22,24,25,26,29,30,32,33,36,37,40,41,42,43,44,45,46,47,48,50,51,53,
54,56,57,58,70,75,76,81,82,88,90,92,94,96,99,104,105,113,116,118,120,125,127,
129,130,131,134,136,138,140,141,143,146,147,150,152,153,156,158,159,161,164,
166,167,169,171,174,177,181,182,188,193,194,196,197,200,201,203,207,209,210,
211,212,217,221,225,229,230,231,233,234,236,238,243,279,287,291,296,301,306,
307,316,322,324,329,334,340,355,361,373,375,378,382,384,386,388,392,394,396,
398,402,405,412,426,440,442,447,454,465,472,475,476,478,479,481,485,492,493,
500,503,578,586,598,612,639,641,648,663,669,675,683,691,701,714,718,815],[1,2,
5,6,7,8,12,15,17,18,19,20,22,24,25,29,31,33,34,35,36,37,38,39,40,42,44,45,48,
49,50,51,52,53,54,56,57,58,75,81,87,91,93,94,95,100,103,113,114,117,120,125,
127,130,134,135,138,140,141,142,143,146,148,149,151,158,159,164,166,167,169,
171,174,177,181,182,188,193,194,196,198,199,202,204,205,206,208,213,214,215,
218,224,226,228,232,235,237,239,241,242,271,288,292,299,301,307,309,312,329,
334,340,350,352,354,356,358,359,371,376,380,389,391,395,406,407,424,432,437,
443,445,446,451,459,460,461,464,465,472,481,485,492,493,500,503,570,587,594,
603,632,634,642,651,655,659,666,681,701,716,718,816],[1,2,5,6,7,8,13,14,16,18,
19,20,22,24,25,30,32,33,34,35,36,37,38,39,40,41,43,46,47,49,50,51,52,53,54,56,
57,58,76,82,88,90,92,94,96,99,104,113,114,118,119,126,128,129,133,136,137,139,
141,142,144,145,147,150,152,157,160,163,165,168,170,172,173,177,181,182,187,
192,194,196,197,200,201,204,205,206,207,212,214,215,217,224,225,229,233,234,
236,238,241,242,272,287,291,300,302,308,310,311,329,335,339,349,351,353,355,
357,360,372,375,379,390,392,396,405,407,423,432,438,442,444,447,450,457,458,
462,463,466,470,484,487,489,490,499,504,569,586,593,604,633,635,643,650,654,
658,667,680,698,717,721,817],[1,4,5,6,7,8,11,13,15,16,17,18,19,20,21,22,26,27,
29,31,32,33,35,36,37,39,40,41,42,43,44,45,47,48,50,51,52,54,55,56,57,58,69,71,
77,83,84,92,93,98,99,100,102,103,109,110,115,116,118,119,120,123,124,125,131,
136,137,138,140,143,146,148,150,151,153,156,158,159,161,164,166,167,169,171,
173,180,182,184,185,186,187,189,201,202,203,205,208,212,213,216,218,220,221,
222,224,225,230,234,236,237,240,242,279,289,290,297,299,312,316,318,319,324,
325,332,348,352,355,364,367,371,376,384,385,386,389,390,394,397,403,409,417,
422,431,436,450,453,460,464,465,468,471,472,478,479,493,494,500,501,576,585,
613,615,634,639,648,652,660,677,681,692,702,711,723,818],[1,4,5,6,7,8,11,12,
14,16,17,18,19,20,21,22,26,27,30,31,32,34,35,36,38,39,40,41,42,43,44,46,47,48,
49,51,52,54,55,56,57,58,69,72,78,83,84,92,93,98,99,100,101,104,109,110,115,
116,117,119,120,123,124,126,132,135,137,138,139,144,145,147,149,152,154,155,
157,160,162,163,165,168,170,171,173,179,181,184,185,186,188,190,201,202,203,
204,207,212,213,216,217,219,221,223,224,226,231,235,236,237,240,242,280,289,
290,298,300,311,315,317,320,323,325,331,347,351,356,363,368,372,375,383,385,
386,389,390,393,398,404,410,418,422,431,435,451,453,457,458,466,467,469,470,
477,480,489,495,502,504,575,585,614,616,635,638,649,653,661,676,680,693,703,
710,724,819],[1,2,5,6,7,8,11,12,13,15,17,18,19,20,22,24,25,26,29,31,32,33,34,
35,36,37,38,39,40,42,44,45,48,49,50,51,52,53,54,55,57,58,70,75,81,87,88,94,95,
96,99,100,105,113,114,116,117,118,120,125,127,130,131,134,135,136,138,140,141,
142,143,146,149,150,153,156,158,159,161,164,166,167,169,171,174,178,179,180,
188,193,194,196,198,199,202,204,205,206,208,214,215,216,219,220,224,227,228,
232,235,237,241,242,279,287,288,296,301,306,307,316,322,324,330,334,340,350,
352,354,358,359,367,368,369,370,371,380,389,406,407,413,424,432,437,445,446,
451,468,471,475,476,478,479,482,483,494,496,497,501,578,583,594,603,637,644,
647,652,665,670,687,692,700,714,719,820],[1,2,5,6,7,8,11,12,13,14,16,18,19,20,
22,24,25,26,30,31,32,33,34,35,36,37,38,39,40,41,43,46,47,49,50,51,52,53,54,55,
57,58,70,76,82,87,88,94,95,96,99,100,106,113,114,115,117,118,119,126,128,129,
132,133,135,136,137,139,141,142,144,145,149,150,154,155,157,160,162,163,165,
168,170,172,173,178,179,180,187,192,194,196,197,200,201,204,205,206,207,214,
215,216,219,220,224,227,229,233,234,236,241,242,280,287,288,295,302,305,308,
315,321,323,330,335,339,349,351,353,357,360,367,368,369,370,372,379,390,405,
407,413,423,432,438,444,447,450,467,469,473,474,477,480,486,488,491,495,498,
502,577,583,593,604,636,645,646,653,664,671,686,693,699,715,720,821],[1,2,5,6,
7,8,14,15,16,17,18,19,20,22,24,25,29,30,33,36,37,40,41,42,43,44,45,46,47,48,
50,51,53,54,55,57,58,75,76,81,82,90,91,92,93,94,103,104,113,120,125,127,129,
130,134,138,140,141,143,146,147,148,151,152,158,159,164,166,167,169,171,174,
178,179,180,188,193,194,196,197,200,201,203,207,209,210,211,221,222,223,229,
230,231,233,234,236,240,243,244,271,291,292,299,301,307,309,312,330,334,340,
361,363,364,365,366,373,378,382,384,386,388,394,398,402,405,412,421,426,440,
447,454,459,460,461,464,468,471,482,483,494,496,497,501,570,590,598,612,630,
657,660,672,677,678,684,689,700,716,719,822],[1,2,5,6,7,8,14,15,16,17,18,19,
20,22,24,25,29,30,34,35,38,39,41,42,43,44,45,46,47,48,49,52,53,54,55,57,58,75,
76,81,82,90,91,92,93,94,103,104,114,119,126,128,129,130,133,137,139,142,144,
145,147,148,151,152,157,160,163,165,168,170,172,173,178,179,180,187,192,194,
196,198,199,202,203,208,209,210,211,221,222,223,228,230,231,232,235,237,240,
243,244,272,291,292,300,302,308,310,311,330,335,339,362,363,364,365,366,374,
377,381,383,385,387,393,397,402,406,411,421,425,441,446,454,457,458,462,463,
467,469,486,488,491,495,498,502,569,590,597,611,631,656,661,673,676,679,685,
688,699,717,720,823],[1,3,5,6,7,8,12,13,16,17,19,20,22,23,26,28,29,32,33,34,
37,38,40,41,42,43,44,45,48,50,51,52,53,54,55,56,57,73,74,79,80,89,92,93,95,96,
103,105,107,111,112,116,118,120,122,125,126,127,136,145,146,148,153,154,156,
158,164,166,169,170,171,174,175,180,182,190,191,192,195,197,198,199,201,203,
206,209,212,215,219,221,222,225,226,227,234,235,239,240,241,271,285,286,293,
296,303,312,316,327,338,346,355,358,359,364,370,379,380,386,388,393,394,395,
401,411,418,428,433,434,438,448,452,460,461,465,471,476,478,481,483,497,500,
501,503,567,584,602,606,642,644,647,648,666,669,677,678,696,707,728,824],[1,3,
5,6,7,8,12,13,16,17,19,20,22,23,26,28,30,31,33,34,37,38,39,41,42,43,44,46,47,
49,51,52,53,54,55,56,57,73,74,79,80,89,92,93,95,96,104,106,108,111,112,115,
117,119,121,125,126,128,135,145,146,147,153,154,155,157,163,165,169,170,172,
173,175,179,181,189,191,193,195,197,198,200,202,203,206,210,213,214,220,221,
223,225,226,227,234,235,238,240,241,272,285,286,294,295,304,311,315,327,337,
345,356,357,360,363,369,379,380,385,387,393,394,396,400,412,417,427,433,434,
437,449,452,457,463,466,469,474,477,486,487,498,499,502,504,568,584,601,605,
643,645,646,649,667,668,676,679,694,706,729,825],[1,4,5,6,7,8,11,12,13,14,15,
16,18,19,20,21,22,26,27,29,30,31,33,34,35,37,38,39,41,43,45,46,47,49,50,52,53,
55,56,57,58,69,71,72,77,78,84,91,92,96,98,100,101,102,104,105,110,115,117,119,
123,126,127,132,134,135,137,139,144,145,147,149,152,154,155,157,160,162,163,
165,168,170,172,174,179,181,183,185,186,188,190,197,205,208,209,214,218,220,
222,225,227,228,229,230,232,234,238,239,241,243,244,280,284,289,298,300,311,
315,317,320,323,326,331,347,350,353,360,362,365,369,374,377,379,388,391,396,
403,408,414,416,424,426,428,430,436,462,463,466,467,469,470,473,474,490,491,
498,499,575,592,596,610,640,645,650,667,671,673,674,688,703,713,725,826],[1,4,
5,6,7,8,11,12,13,14,15,17,18,19,20,21,22,26,27,29,30,32,33,34,36,37,38,40,42,
44,45,46,48,49,50,51,53,55,56,57,58,69,71,72,77,78,83,90,93,95,98,99,101,102,
103,106,109,116,118,120,124,125,128,131,133,136,138,140,143,146,148,150,151,
153,156,158,159,161,164,166,167,169,172,174,180,182,183,185,186,187,189,198,
204,207,210,215,217,219,223,226,227,228,229,231,233,235,238,239,241,243,244,
279,283,290,297,299,312,316,318,319,324,326,332,348,349,354,359,361,366,370,
373,378,380,387,392,395,404,408,415,416,423,425,427,429,435,459,461,465,468,
471,472,475,476,492,496,497,503,576,591,595,609,641,644,651,666,670,672,675,
689,702,712,722,827],[1,4,5,6,7,8,12,13,14,15,18,19,20,21,26,27,29,30,32,33,
34,36,37,38,42,44,45,46,48,49,50,51,54,55,56,57,58,71,72,77,78,90,91,95,96,98,
101,102,103,105,106,109,124,127,128,131,133,134,136,143,146,150,151,153,156,
158,159,166,167,169,171,173,180,182,184,185,186,187,189,199,200,204,206,207,
211,217,219,223,226,227,228,229,231,235,238,239,241,243,244,271,283,284,296,
306,309,318,319,325,332,348,354,357,358,366,370,373,378,380,381,382,392,395,
404,408,416,423,425,427,429,435,439,460,464,478,479,481,482,483,485,493,494,
500,501,571,588,595,609,630,642,647,655,665,683,684,691,711,723,727,828],[1,4,
5,6,7,8,12,13,14,15,18,19,20,21,26,27,29,30,31,33,34,35,37,38,41,43,45,46,47,
49,50,52,54,55,56,57,58,71,72,77,78,90,91,95,96,98,101,102,104,105,106,110,
123,127,128,132,133,134,135,144,145,149,152,154,155,157,160,165,168,170,171,
173,179,181,184,185,186,188,190,199,200,205,206,208,211,218,220,222,225,227,
228,229,230,234,238,239,241,243,244,272,283,284,295,305,310,317,320,325,331,
347,353,357,358,365,369,374,377,379,381,382,391,396,403,408,416,424,426,428,
430,436,439,457,458,477,480,484,486,487,488,489,495,502,504,572,588,596,610,
631,643,646,654,664,682,685,690,710,724,726,829],[1,3,5,6,7,8,11,12,13,15,16,
17,18,19,20,22,23,26,28,29,32,33,34,36,37,38,40,41,42,43,44,45,48,50,51,52,53,
54,55,56,58,68,73,74,79,80,85,89,91,92,95,99,103,105,107,111,112,116,118,120,
122,126,127,131,134,136,138,140,143,145,148,150,151,154,156,158,159,161,164,
166,167,168,171,174,176,180,182,190,191,192,195,197,198,199,201,203,204,206,
209,212,215,219,222,225,226,227,228,230,236,239,240,279,281,285,293,299,303,
306,309,313,324,328,338,346,351,354,355,358,359,364,370,377,384,386,388,395,
401,411,418,419,428,433,434,438,448,459,464,468,472,475,479,482,485,492,493,
494,496,573,582,602,606,639,651,655,657,660,663,665,670,697,704,709,830],[1,3,
5,6,7,8,11,12,13,14,16,17,18,19,20,22,23,26,28,30,31,33,34,35,37,38,39,41,42,
43,44,46,47,49,51,52,53,54,55,56,58,68,73,74,79,80,86,89,90,93,96,100,104,106,
108,111,112,115,117,119,121,125,128,132,133,135,137,139,144,146,147,149,152,
153,155,157,160,162,163,165,167,168,172,173,176,179,181,189,191,193,195,197,
198,200,202,203,205,206,210,213,214,220,223,225,226,227,229,231,237,238,240,
280,282,286,294,300,304,305,310,314,323,328,337,345,352,353,356,357,360,363,
369,378,383,385,387,396,400,412,417,420,427,433,434,437,449,458,462,467,470,
473,480,484,488,489,490,491,495,574,581,601,605,638,650,654,656,661,662,664,
671,695,705,708,831],[1,3,5,6,7,8,11,13,14,15,17,18,19,20,22,23,26,28,29,30,
31,32,33,35,36,37,39,40,42,44,45,46,47,48,49,50,51,53,54,55,56,57,68,74,80,85,
86,89,90,91,99,100,103,105,107,108,111,116,118,120,121,122,127,131,132,134,
136,138,139,140,143,144,148,150,151,156,158,159,161,164,166,169,170,171,174,
175,180,182,190,191,192,195,200,202,207,208,210,211,213,214,216,217,218,220,
223,224,232,233,238,242,243,244,279,281,282,293,299,303,306,309,313,324,327,
338,346,350,361,366,367,371,372,373,374,376,382,389,392,399,400,410,430,441,
444,449,455,456,460,461,465,471,476,478,481,483,492,493,494,496,573,589,600,
607,634,637,659,672,675,684,691,692,696,707,709,832],[1,3,5,6,7,8,11,12,14,15,
16,18,19,20,22,23,26,28,29,30,31,32,34,35,36,38,39,40,41,43,45,46,47,48,49,50,
52,53,54,55,56,57,68,73,79,85,86,89,90,91,99,100,104,106,107,108,112,115,117,
119,121,122,128,131,132,133,135,137,139,140,143,144,147,149,152,155,157,160,
162,163,165,169,170,172,173,175,179,181,189,191,193,195,199,201,207,208,209,
211,212,215,216,217,218,219,222,224,232,233,239,242,243,244,280,281,282,294,
300,304,305,310,314,323,327,337,345,349,362,365,368,371,372,373,374,375,381,
390,391,399,401,409,429,440,445,448,455,456,457,463,466,469,474,477,486,487,
489,490,491,495,574,589,599,608,635,636,658,673,674,685,690,693,694,706,708,
833],[1,3,5,6,7,8,12,15,16,19,20,22,23,26,28,29,30,31,32,34,36,38,39,40,41,43,
45,46,47,48,49,50,52,53,54,55,56,58,73,79,85,89,91,92,95,99,104,106,107,108,
112,115,117,119,121,122,126,128,131,135,140,143,145,147,154,155,157,163,165,
167,168,172,173,176,179,181,189,191,193,195,199,201,204,209,211,212,215,216,
217,218,219,222,224,228,230,232,233,236,239,244,272,281,285,294,295,304,311,
315,328,337,345,349,351,354,362,365,368,375,377,381,384,390,391,399,401,409,
419,429,440,445,448,456,458,462,467,470,473,480,484,488,498,499,502,504,568,
582,599,608,631,633,640,653,680,682,686,688,695,705,729,834],[1,3,5,6,7,8,13,
14,17,19,20,22,23,26,28,29,30,31,32,33,35,37,39,40,42,44,45,46,47,48,49,50,51,
53,54,55,56,58,74,80,86,89,90,93,96,100,103,105,107,108,111,116,118,120,121,
122,125,127,132,136,139,144,146,148,153,156,158,164,166,167,168,171,174,176,
180,182,190,191,192,195,200,202,205,210,211,213,214,216,217,218,220,223,224,
229,231,232,233,237,238,244,271,282,286,293,296,303,312,316,328,338,346,350,
352,353,361,366,367,376,378,382,383,389,392,399,400,410,420,430,441,444,449,
456,459,464,468,472,475,479,482,485,497,500,501,503,567,581,600,607,630,632,
641,652,681,683,687,689,697,704,728,835],[1,4,5,6,7,8,13,15,16,18,19,20,21,26,
27,29,31,32,33,35,36,37,39,41,42,43,44,45,47,48,50,51,52,53,55,56,57,58,71,77,
84,91,92,96,98,100,102,103,105,109,110,115,119,123,124,127,131,134,136,137,
143,146,150,151,153,156,158,159,166,167,169,172,174,180,182,183,185,186,187,
189,197,205,208,209,212,213,214,216,218,220,221,222,225,230,232,234,236,237,
240,242,271,284,289,296,306,309,318,319,326,332,348,350,352,355,360,362,364,
367,371,376,384,388,394,397,403,409,414,417,422,436,450,453,459,461,475,476,
481,482,483,485,492,496,497,503,571,592,613,615,632,637,657,659,663,669,678,
687,712,722,727,836],[1,4,5,6,7,8,12,14,17,18,19,20,21,26,27,30,31,32,34,35,
36,38,40,41,42,43,44,46,47,48,49,51,52,53,55,56,57,58,72,78,83,90,93,95,98,99,
101,104,106,109,110,116,120,123,124,128,132,133,135,138,144,145,149,152,154,
155,157,160,165,168,170,172,174,179,181,183,185,186,188,190,198,204,207,210,
212,213,215,216,217,219,221,223,226,231,233,235,236,237,240,242,272,283,290,
295,305,310,317,320,326,331,347,349,351,356,359,361,363,368,372,375,383,387,
393,398,404,410,415,418,422,435,451,453,462,463,473,474,484,486,487,488,490,
491,498,499,572,591,614,616,633,636,656,658,662,668,679,686,713,725,726,837],[
1,2,6,8,9,25,55,61,63,66,178,245,261,506,508,510,735,738,838],[1,2,6,8,9,25,
56,61,63,66,177,245,261,506,508,510,735,737,839],[1,4,5,6,9,27,54,62,65,66,
184,245,262,507,508,509,732,740,840],[1,4,5,6,9,27,53,62,65,66,183,245,262,
507,508,509,732,739,841],[1,3,6,7,9,23,57,60,64,66,175,245,266,505,508,511,
730,741,842],[1,3,6,7,9,23,58,60,64,66,176,245,266,505,508,511,730,742,843],[
1,3,5,8,9,28,53,54,60,63,65,191,245,265,506,507,511,734,739,740,844],[1,2,5,7,
9,24,57,58,61,64,65,194,245,264,505,507,510,733,741,742,845],[1,4,7,8,9,21,55,
56,62,63,64,185,245,263,505,506,509,731,737,738,846],[1,2,5,7,9,24,53,54,61,
64,65,196,245,264,505,507,510,733,739,740,847],[1,4,7,8,9,21,57,58,62,63,64,
186,245,263,505,506,509,731,741,742,848],[1,3,5,8,9,28,55,56,60,63,65,195,245,
265,506,507,511,734,737,738,849],[1,2,3,4,5,6,7,8,9,10,21,23,24,25,27,28,60,
61,62,63,64,65,66,97,245,260,261,262,263,264,265,266,505,506,507,508,509,510,
511,565,730,731,732,733,734,735,736,850],[1,5,7,8,20,30,34,38,41,43,46,59,104,
128,145,272,851],[1,5,7,8,19,29,33,37,42,44,45,59,103,127,146,271,852],[1,2,3,
4,9,10,60,61,62,67,260,267,268,269,519,566,744,745,746,853],[1,5,6,7,8,9,11,
12,13,14,16,20,31,33,35,37,39,47,49,52,53,55,58,63,96,119,135,144,162,168,172,
179,197,205,214,220,227,229,253,255,258,259,280,353,360,369,467,473,491,523,
534,536,671,748,854],[1,5,6,7,8,9,11,12,13,15,17,19,32,34,36,38,40,48,50,51,
53,55,58,63,95,120,136,143,161,167,174,180,198,204,215,219,227,228,254,256,
257,259,279,354,359,370,468,475,496,522,535,537,670,747,855],[1,5,6,7,8,9,11,
12,14,16,20,31,32,35,36,39,40,47,49,52,54,55,57,66,99,119,135,144,162,170,173,
179,201,207,216,219,224,242,253,255,258,259,280,368,372,390,469,477,495,525,
538,542,693,748,856],[1,5,6,7,8,9,11,13,15,17,19,31,32,35,36,39,40,48,50,51,
54,55,57,66,100,120,136,143,161,169,171,180,202,208,216,220,224,242,254,256,
257,259,279,367,371,389,471,478,494,524,539,543,692,747,857],[1,5,6,7,8,9,11,
12,14,16,17,20,31,35,39,42,44,47,49,52,54,56,58,65,93,119,135,144,162,168,173,
181,202,203,213,226,231,237,253,255,258,259,280,356,383,385,470,480,489,526,
532,540,638,748,858],[1,5,6,7,8,9,11,13,15,16,17,19,32,36,40,41,43,48,50,51,
54,56,58,65,92,120,136,143,161,167,171,182,201,203,212,225,230,236,254,256,
257,259,279,355,384,386,472,479,493,527,533,541,639,747,859],[1,5,6,7,8,9,11,
12,14,15,16,20,29,31,35,39,45,47,49,52,53,56,57,64,91,119,135,144,162,170,172,
181,208,209,218,232,239,243,253,255,258,259,280,362,374,391,466,474,490,521,
528,530,674,748,860],[1,5,6,7,8,9,11,13,14,15,17,19,30,32,36,40,46,48,50,51,
53,56,57,64,90,120,136,143,161,169,174,182,207,210,217,233,238,243,254,256,
257,259,279,361,373,392,465,476,492,520,529,531,675,747,861],[1,4,5,6,7,8,9,
11,12,14,16,18,19,20,21,22,26,27,30,31,34,35,38,39,41,43,46,47,49,52,62,69,72,
78,84,92,98,100,101,104,110,115,117,119,123,126,132,135,137,139,144,145,147,
149,152,154,155,157,160,162,163,165,253,255,258,259,280,289,298,300,311,315,
317,320,323,552,554,561,564,575,748,862],[1,4,5,6,7,8,9,11,13,15,17,18,19,20,
21,22,26,27,29,32,33,36,37,40,42,44,45,48,50,51,62,69,71,77,83,93,98,99,102,
103,109,116,118,120,124,125,131,136,138,140,143,146,148,150,151,153,156,158,
159,161,164,166,254,256,257,259,279,290,297,299,312,316,318,319,324,553,555,
560,564,576,747,863],[1,3,5,6,7,8,9,11,12,14,16,18,19,20,22,23,26,28,30,31,34,
35,38,39,41,43,46,47,49,52,60,68,73,79,86,89,90,100,104,106,108,112,115,117,
119,121,128,132,133,135,137,139,144,147,149,152,155,157,160,162,163,165,253,
255,258,259,280,282,294,300,304,305,310,314,323,546,548,550,563,574,748,864],[
1,3,5,6,7,8,9,11,13,15,17,18,19,20,22,23,26,28,29,32,33,36,37,40,42,44,45,48,
50,51,60,68,74,80,85,89,91,99,103,105,107,111,116,118,120,122,127,131,134,136,
138,140,143,148,150,151,156,158,159,161,164,166,254,256,257,259,279,281,293,
299,303,306,309,313,324,547,549,551,563,573,747,865],[1,2,5,6,7,8,9,11,13,15,
17,18,19,20,22,24,25,26,29,32,33,36,37,40,42,44,45,48,50,51,61,70,75,81,88,94,
96,99,105,113,116,118,120,125,127,130,131,134,136,138,140,141,143,146,150,153,
156,158,159,161,164,166,254,256,257,259,279,287,296,301,306,307,316,322,324,
545,557,559,562,578,747,866],[1,2,5,6,7,8,9,11,12,14,16,18,19,20,22,24,25,26,
30,31,34,35,38,39,41,43,46,47,49,52,61,70,76,82,87,94,95,100,106,114,115,117,
119,126,128,129,132,133,135,137,139,142,144,145,149,154,155,157,160,162,163,
165,253,255,258,259,280,288,295,302,305,308,315,321,323,544,556,558,562,577,
748,867],[1,2,6,8,9,11,25,26,55,56,61,70,177,178,189,190,259,342,562,626,
868],[1,3,6,7,9,11,18,23,57,58,60,68,175,176,187,188,259,343,563,628,869],[1,
4,5,6,9,11,22,27,53,54,62,69,183,184,192,193,259,336,564,627,870],[1,2,3,4,5,
6,7,8,9,10,16,17,21,23,24,25,27,28,37,38,39,40,45,46,49,50,53,54,60,61,62,63,
64,65,66,75,76,79,80,83,84,97,101,102,107,108,113,114,183,184,191,196,197,198,
199,200,201,202,203,206,209,210,211,214,215,224,232,233,256,260,261,262,263,
264,265,266,275,276,333,399,400,401,402,405,406,414,415,431,432,434,439,520,
522,524,533,549,555,557,565,620,751,763,765,771,781,784,789,871],[1,2,3,4,5,6,
7,8,9,10,16,17,21,23,24,25,27,28,37,38,39,40,45,46,49,50,53,54,60,61,62,63,64,
65,66,75,76,79,80,83,84,97,101,102,107,108,113,114,183,184,191,196,197,198,
199,200,201,202,203,206,209,210,211,214,215,224,232,233,255,260,261,262,263,
264,265,266,275,276,333,399,400,401,402,405,406,414,415,431,432,434,439,521,
523,525,532,548,554,556,565,620,752,764,766,772,782,783,790,872],[1,2,3,4,5,6,
7,8,9,10,12,13,21,23,24,25,27,28,29,30,31,32,41,42,47,48,55,56,60,61,62,63,64,
65,66,73,74,77,78,87,88,97,121,122,123,124,129,130,177,178,185,195,212,213,
216,217,218,219,220,222,223,225,226,227,238,239,240,244,253,260,261,262,263,
264,265,266,277,278,344,408,413,421,433,435,436,442,443,448,449,453,456,528,
536,538,540,550,552,558,565,622,758,760,762,769,773,778,788,873],[1,2,3,4,5,6,
7,8,9,10,12,13,21,23,24,25,27,28,29,30,31,32,41,42,47,48,55,56,60,61,62,63,64,
65,66,73,74,77,78,87,88,97,121,122,123,124,129,130,177,178,185,195,212,213,
216,217,218,219,220,222,223,225,226,227,238,239,240,244,254,260,261,262,263,
264,265,266,277,278,344,408,413,421,433,435,436,442,443,448,449,453,456,529,
537,539,541,551,553,559,565,622,757,759,761,770,774,777,787,874],[1,2,3,4,5,6,
7,8,9,10,14,15,21,23,24,25,27,28,33,34,35,36,43,44,51,52,57,58,60,61,62,63,64,
65,66,71,72,81,82,85,86,97,109,110,111,112,141,142,175,176,186,194,204,205,
207,208,221,228,229,230,231,234,235,236,237,241,242,243,257,260,261,262,263,
264,265,266,273,274,341,403,404,407,416,419,420,422,446,447,452,454,455,527,
531,535,543,545,547,560,565,618,749,753,755,767,775,780,785,875],[1,2,3,4,5,6,
7,8,9,10,14,15,21,23,24,25,27,28,33,34,35,36,43,44,51,52,57,58,60,61,62,63,64,
65,66,71,72,81,82,85,86,97,109,110,111,112,141,142,175,176,186,194,204,205,
207,208,221,228,229,230,231,234,235,236,237,241,242,243,258,260,261,262,263,
264,265,266,273,274,341,403,404,407,416,419,420,422,446,447,452,454,455,526,
530,534,542,544,546,561,565,618,750,754,756,768,776,779,786,876],[1,4,5,6,9,
16,27,39,59,62,65,66,84,246,249,251,255,262,512,554,793,877],[1,4,5,6,9,17,27,
40,59,62,65,66,83,246,249,251,256,262,512,555,794,878],[1,3,5,8,9,13,28,42,59,
60,63,65,74,248,249,250,254,265,517,551,795,879],[1,3,5,8,9,12,28,41,59,60,63,
65,73,248,249,250,253,265,517,550,796,880],[1,3,5,8,9,16,28,38,59,60,63,65,79,
248,249,250,255,265,517,548,793,881],[1,3,5,8,9,17,28,37,59,60,63,65,80,248,
249,250,256,265,517,549,794,882],[1,2,5,7,9,16,24,46,59,61,64,65,76,247,249,
252,255,264,514,556,793,883],[1,2,5,7,9,17,24,45,59,61,64,65,75,247,249,252,
256,264,514,557,794,884],[1,2,5,7,9,15,24,44,59,61,64,65,81,247,249,252,257,
264,514,545,798,885],[1,2,5,7,9,14,24,43,59,61,64,65,82,247,249,252,258,264,
514,544,797,886],[1,4,7,8,9,15,21,33,59,62,63,64,71,246,250,252,257,263,513,
560,798,887],[1,4,7,8,9,14,21,34,59,62,63,64,72,246,250,252,258,263,513,561,
797,888],[1,4,5,6,9,11,22,27,59,62,65,66,69,246,249,251,259,262,512,564,792,
889],[1,2,6,8,9,13,25,32,59,61,63,66,88,247,250,251,254,261,516,559,795,890],[
1,2,6,8,9,12,25,31,59,61,63,66,87,247,250,251,253,261,516,558,796,891],[1,2,6,
8,9,11,25,26,59,61,63,66,70,247,250,251,259,261,516,562,792,892],[1,3,6,7,9,
15,23,36,59,60,64,66,85,248,251,252,257,266,515,547,798,893],[1,3,6,7,9,14,23,
35,59,60,64,66,86,248,251,252,258,266,515,546,797,894],[1,4,7,8,9,12,21,30,59,
62,63,64,78,246,250,252,253,263,513,552,796,895],[1,4,7,8,9,13,21,29,59,62,63,
64,77,246,250,252,254,263,513,553,795,896],[1,3,6,7,9,11,18,23,59,60,64,66,68,
248,251,252,259,266,515,563,792,897],[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,
44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,68,69,70,71,72,73,74,75,76,77,78,
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,
179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,212,
213,216,217,218,219,220,222,223,225,226,227,238,239,240,244,270,273,274,275,
276,277,278,281,282,283,284,285,286,287,288,289,290,291,292,293,294,297,298,
301,302,303,304,307,308,313,314,317,318,319,320,321,322,325,326,327,328,329,
330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,
355,356,363,364,365,366,367,368,369,370,375,376,391,392,395,396,408,409,410,
413,417,418,421,427,428,429,430,433,435,436,442,443,448,449,453,456,465,466,
467,468,469,470,471,472,481,482,483,484,485,486,487,488,489,490,491,492,493,
494,495,496,497,498,499,500,501,502,503,504,579,580,583,586,587,590,605,606,
607,608,609,610,615,616,619,622,623,624,625,626,629,694,695,696,697,698,699,
700,701,702,703,708,709,710,711,712,713,718,719,720,721,726,727,728,729,803,
804,807,808,809,810,812,898],[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,
46,47,48,49,50,51,52,53,54,55,56,57,58,68,69,70,71,72,73,74,75,76,77,78,79,80,
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,
200,201,202,203,206,209,210,211,214,215,224,232,233,270,273,274,275,276,277,
278,281,282,283,284,285,286,287,288,289,290,291,292,293,294,297,298,301,302,
303,304,307,308,313,314,317,318,319,320,321,322,325,326,327,328,329,330,331,
332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,
357,358,359,360,361,362,381,382,385,386,387,388,389,390,399,400,401,402,405,
406,411,412,414,415,431,432,434,437,438,439,440,441,444,445,457,458,459,460,
461,462,463,464,473,474,475,476,477,478,479,480,489,490,491,492,493,494,495,
496,497,498,499,500,501,502,503,504,579,580,585,588,591,592,593,594,597,598,
599,600,601,602,620,621,623,624,625,627,629,704,705,706,707,708,709,710,711,
712,713,714,715,716,717,718,719,720,721,722,723,724,725,728,729,802,804,805,
806,809,810,811,899],[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,
49,50,51,52,53,54,55,56,57,58,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,
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,
183,184,185,186,187,188,189,190,191,192,193,194,195,196,204,205,207,208,221,
228,229,230,231,234,235,236,237,241,242,243,270,273,274,275,276,277,278,281,
282,283,284,285,286,287,288,289,290,291,292,293,294,297,298,301,302,303,304,
307,308,313,314,317,318,319,320,321,322,325,326,327,328,329,330,331,332,333,
334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,351,352,353,354,
371,372,373,374,377,378,379,380,383,384,393,394,397,398,403,404,407,416,419,
420,422,423,424,425,426,446,447,450,451,452,454,455,457,458,459,460,461,462,
463,464,465,466,467,468,469,470,471,472,473,474,475,476,477,478,479,480,481,
482,483,484,485,486,487,488,579,580,581,582,584,589,595,596,603,604,611,612,
613,614,617,618,623,624,625,628,629,694,695,696,697,698,699,700,701,702,703,
704,705,706,707,714,715,716,717,722,723,724,725,726,727,801,804,805,806,807,
808,813,900],[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,
52,53,54,55,56,57,58,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,
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,
242,243,244,270,272,273,274,275,276,277,278,280,281,282,283,284,285,286,287,
288,289,290,291,292,293,294,295,297,298,300,301,302,303,304,305,307,308,310,
311,313,314,315,317,318,319,320,321,322,323,325,326,327,328,329,330,331,332,
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,
447,448,449,450,451,452,453,454,455,456,457,458,462,463,466,467,469,470,473,
474,477,480,484,486,487,488,489,490,491,495,498,499,502,504,568,569,572,574,
575,577,579,580,581,582,583,584,585,586,587,588,589,590,591,592,593,594,595,
596,597,598,599,600,601,602,603,604,605,606,607,608,609,610,611,612,613,614,
615,616,617,618,619,620,621,622,623,624,625,631,633,635,636,638,640,643,645,
646,649,650,653,654,656,658,661,662,664,667,668,671,673,674,676,679,680,682,
685,686,688,690,693,694,695,698,699,703,705,706,708,710,713,715,717,720,721,
724,725,726,729,800,805,807,809,811,812,813,814,817,819,821,823,825,826,829,
831,833,834,837,901],[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,
49,50,51,52,53,54,55,56,57,58,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,
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,
240,241,242,243,244,270,271,273,274,275,276,277,278,279,281,282,283,284,285,
286,287,288,289,290,291,292,293,294,296,297,298,299,301,302,303,304,306,307,
308,309,312,313,314,316,317,318,319,320,321,322,324,325,326,327,328,329,330,
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,
445,446,447,448,449,450,451,452,453,454,455,456,459,460,461,464,465,468,471,
472,475,476,478,479,481,482,483,485,492,493,494,496,497,500,501,503,567,570,
571,573,576,578,579,580,581,582,583,584,585,586,587,588,589,590,591,592,593,
594,595,596,597,598,599,600,601,602,603,604,605,606,607,608,609,610,611,612,
613,614,615,616,617,618,619,620,621,622,623,624,625,630,632,634,637,639,641,
642,644,647,648,651,652,655,657,659,660,663,665,666,669,670,672,675,677,678,
681,683,684,687,689,691,692,696,697,700,701,702,704,707,709,711,712,714,716,
718,719,722,723,727,728,799,806,808,810,811,812,813,815,816,818,820,822,824,
827,828,830,832,835,836,902],[1,2,3,4,5,6,7,8,9,10,21,23,24,25,27,28,57,58,60,
61,62,63,64,65,66,97,175,176,186,194,245,260,261,262,263,264,265,266,341,505,
506,507,508,509,510,511,565,730,731,732,733,734,735,736,741,742,842,843,845,
848,850,903],[1,2,3,4,5,6,7,8,9,10,21,23,24,25,27,28,55,56,60,61,62,63,64,65,
66,97,177,178,185,195,245,260,261,262,263,264,265,266,344,505,506,507,508,509,
510,511,565,730,731,732,733,734,735,736,737,738,838,839,846,849,850,904],[1,2,
3,4,5,6,7,8,9,10,21,23,24,25,27,28,53,54,60,61,62,63,64,65,66,97,183,184,191,
196,245,260,261,262,263,264,265,266,333,505,506,507,508,509,510,511,565,730,
731,732,733,734,735,736,739,740,840,841,844,847,850,905],[1,5,7,8,16,19,29,33,
37,41,42,43,44,45,53,55,57,59,92,103,127,146,169,174,180,197,209,221,222,234,
240,249,271,364,388,394,461,483,497,678,852,906],[1,5,7,8,17,20,30,34,38,41,
42,43,44,46,53,55,57,59,93,104,128,145,170,172,179,198,210,221,223,235,240,
249,272,363,387,393,463,486,498,679,851,907],[1,5,7,8,12,19,29,33,34,37,38,42,
44,45,54,56,57,59,95,103,127,146,169,171,182,199,206,226,235,239,241,250,271,
358,380,395,460,481,500,642,852,908],[1,5,7,8,13,20,30,33,34,37,38,41,43,46,
54,56,57,59,96,104,128,145,170,173,181,200,206,225,234,238,241,250,272,357,
379,396,457,487,504,643,851,909],[1,5,7,8,15,20,29,30,34,38,41,43,45,46,54,55,
58,59,91,104,128,145,168,173,179,199,211,222,228,230,244,252,272,365,377,381,
458,488,502,631,851,910],[1,5,7,8,14,19,29,30,33,37,42,44,45,46,54,55,58,59,
90,103,127,146,167,171,180,200,211,223,229,231,244,252,271,366,378,382,464,
482,501,630,852,911],[1,5,6,7,8,20,30,32,34,36,38,40,41,43,46,53,56,58,59,99,
104,128,145,168,172,181,204,212,215,217,233,236,251,272,349,351,375,462,484,
499,633,851,912],[1,5,6,7,8,19,29,31,33,35,37,39,42,44,45,53,56,58,59,100,103,
127,146,167,174,182,205,213,214,218,232,237,251,271,350,352,376,459,485,503,
632,852,913],[1,2,5,6,7,8,14,16,18,19,20,22,24,25,30,34,35,38,39,41,43,46,47,
49,52,59,76,82,90,92,94,104,114,119,126,128,129,133,137,139,142,144,145,147,
152,157,160,163,165,247,272,291,300,302,308,310,311,569,851,914],[1,2,5,6,7,8,
15,17,18,19,20,22,24,25,29,33,36,37,40,42,44,45,48,50,51,59,75,81,91,93,94,
103,113,120,125,127,130,134,138,140,141,143,146,148,151,158,159,164,166,247,
271,292,299,301,307,309,312,570,852,915],[1,4,5,6,7,8,12,14,18,19,20,21,26,27,
30,31,34,35,38,41,43,46,47,49,52,59,72,78,90,95,98,101,104,106,110,123,128,
132,133,135,144,145,149,152,154,155,157,160,165,246,272,283,295,305,310,317,
320,572,851,916],[1,4,5,6,7,8,13,15,18,19,20,21,26,27,29,32,33,36,37,42,44,45,
48,50,51,59,71,77,91,96,98,102,103,105,109,124,127,131,134,136,143,146,150,
151,153,156,158,159,166,246,271,284,296,306,309,318,319,571,852,917],[1,3,5,6,
7,8,13,17,19,20,22,23,26,28,29,32,33,37,40,42,44,45,48,50,51,59,74,80,89,93,
96,103,105,107,111,116,118,120,122,125,127,136,146,148,153,156,158,164,166,
248,271,286,293,296,303,312,316,567,852,918],[1,3,5,6,7,8,12,16,19,20,22,23,
26,28,30,31,34,38,39,41,43,46,47,49,52,59,73,79,89,92,95,104,106,108,112,115,
117,119,121,126,128,135,145,147,154,155,157,163,165,248,272,285,294,295,304,
311,315,568,851,919],[1,8,9,12,13,55,63,67,227,253,254,519,536,537,920],[1,7,
9,14,15,57,64,67,243,257,258,519,530,531,921],[1,5,9,16,17,54,65,67,203,255,
256,519,532,533,922],[1,2,3,4,5,6,7,8,9,10,11,12,14,16,18,19,20,21,22,23,24,
25,26,27,28,30,31,34,35,38,39,41,43,46,47,49,52,60,61,62,68,69,70,72,73,76,78,
79,82,84,86,87,89,90,92,94,95,97,98,100,101,104,106,108,110,112,114,115,117,
119,121,123,126,128,129,132,133,135,137,139,142,144,145,147,149,152,154,155,
157,160,162,163,165,253,255,258,259,260,270,272,274,276,277,280,282,283,285,
288,289,291,294,295,298,300,302,304,305,308,310,311,314,315,317,320,321,323,
544,546,548,550,552,554,556,558,561,562,563,564,568,569,572,574,575,577,580,
748,786,788,790,791,800,862,864,867,923],[1,2,3,4,5,6,7,8,9,10,11,13,15,17,18,
19,20,21,22,23,24,25,26,27,28,29,32,33,36,37,40,42,44,45,48,50,51,60,61,62,68,
69,70,71,74,75,77,80,81,83,85,88,89,91,93,94,96,97,98,99,102,103,105,107,109,
111,113,116,118,120,122,124,125,127,130,131,134,136,138,140,141,143,146,148,
150,151,153,156,158,159,161,164,166,254,256,257,259,260,270,271,273,275,278,
279,281,284,286,287,290,292,293,296,297,299,301,303,306,307,309,312,313,316,
318,319,322,324,545,547,549,551,553,555,557,559,560,562,563,564,567,570,571,
573,576,578,579,747,785,787,789,791,799,863,865,866,924],[1,3,5,6,7,8,9,11,12,
13,15,16,17,18,19,20,22,23,26,28,29,32,33,34,36,37,38,40,41,42,43,44,45,48,50,
51,52,53,54,55,56,58,60,63,65,68,73,74,79,80,85,89,91,92,95,99,103,105,107,
111,112,116,118,120,122,126,127,131,134,136,138,140,143,145,148,150,151,154,
156,158,159,161,164,166,167,168,171,174,176,180,182,190,191,192,195,197,198,
199,201,203,204,206,209,212,215,219,222,225,226,227,228,230,236,239,240,254,
256,257,259,265,279,281,285,293,299,303,306,309,313,324,328,338,346,351,354,
355,358,359,364,370,377,384,386,388,395,401,411,418,419,428,433,434,438,448,
459,464,468,472,475,479,482,485,492,493,494,496,522,527,533,535,537,541,547,
549,551,563,573,582,602,606,639,651,655,657,660,663,665,670,697,704,709,747,
755,761,781,830,855,859,865,925],[1,3,5,6,7,8,9,11,12,13,14,16,17,18,19,20,22,
23,26,28,30,31,33,34,35,37,38,39,41,42,43,44,46,47,49,51,52,53,54,55,56,58,60,
63,65,68,73,74,79,80,86,89,90,93,96,100,104,106,108,111,112,115,117,119,121,
125,128,132,133,135,137,139,144,146,147,149,152,153,155,157,160,162,163,165,
167,168,172,173,176,179,181,189,191,193,195,197,198,200,202,203,205,206,210,
213,214,220,223,225,226,227,229,231,237,238,240,253,255,258,259,265,280,282,
286,294,300,304,305,310,314,323,328,337,345,352,353,356,357,360,363,369,378,
383,385,387,396,400,412,417,420,427,433,434,437,449,458,462,467,470,473,480,
484,488,489,490,491,495,523,526,532,534,536,540,546,548,550,563,574,581,601,
605,638,650,654,656,661,662,664,671,695,705,708,748,756,762,782,831,854,858,
864,926],[1,4,5,6,7,8,9,11,12,13,14,15,16,18,19,20,21,22,26,27,29,30,31,33,34,
35,37,38,39,41,43,45,46,47,49,50,52,53,55,56,57,58,62,63,64,69,71,72,77,78,84,
91,92,96,98,100,101,102,104,105,110,115,117,119,123,126,127,132,134,135,137,
139,144,145,147,149,152,154,155,157,160,162,163,165,168,170,172,174,179,181,
183,185,186,188,190,197,205,208,209,214,218,220,222,225,227,228,229,230,232,
234,238,239,241,243,244,253,255,258,259,263,280,284,289,298,300,311,315,317,
320,323,326,331,347,350,353,360,362,365,369,374,377,379,388,391,396,403,408,
414,416,424,426,428,430,436,462,463,466,467,469,470,473,474,490,491,498,499,
521,523,528,530,534,536,552,554,561,564,575,592,596,610,640,645,650,667,671,
673,674,688,703,713,725,748,758,766,779,826,854,860,862,927],[1,4,5,6,7,8,9,
11,12,13,14,15,17,18,19,20,21,22,26,27,29,30,32,33,34,36,37,38,40,42,44,45,46,
48,49,50,51,53,55,56,57,58,62,63,64,69,71,72,77,78,83,90,93,95,98,99,101,102,
103,106,109,116,118,120,124,125,128,131,133,136,138,140,143,146,148,150,151,
153,156,158,159,161,164,166,167,169,172,174,180,182,183,185,186,187,189,198,
204,207,210,215,217,219,223,226,227,228,229,231,233,235,238,239,241,243,244,
254,256,257,259,263,279,283,290,297,299,312,316,318,319,324,326,332,348,349,
354,359,361,366,370,373,378,380,387,392,395,404,408,415,416,423,425,427,429,
435,459,461,465,468,471,472,475,476,492,496,497,503,520,522,529,531,535,537,
553,555,560,564,576,591,595,609,641,644,651,666,670,672,675,689,702,712,722,
747,757,765,780,827,855,861,863,928],[1,4,5,6,7,8,9,11,12,14,16,17,18,19,20,
21,22,26,27,30,31,32,34,35,36,38,39,40,41,42,43,44,46,47,48,49,51,52,54,55,56,
57,58,62,65,66,69,72,78,83,84,92,93,98,99,100,101,104,109,110,115,116,117,119,
120,123,124,126,132,135,137,138,139,144,145,147,149,152,154,155,157,160,162,
163,165,168,170,171,173,179,181,184,185,186,188,190,201,202,203,204,207,212,
213,216,217,219,221,223,224,226,231,235,236,237,240,242,253,255,258,259,262,
280,289,290,298,300,311,315,317,320,323,325,331,347,351,356,363,368,372,375,
383,385,386,389,390,393,398,404,410,418,422,431,435,451,453,457,458,466,467,
469,470,477,480,489,495,502,504,525,526,532,538,540,542,552,554,561,564,575,
585,614,616,635,638,649,653,661,676,680,693,703,710,724,748,764,768,773,819,
856,858,862,929],[1,4,5,6,7,8,9,11,13,15,16,17,18,19,20,21,22,26,27,29,31,32,
33,35,36,37,39,40,41,42,43,44,45,47,48,50,51,52,54,55,56,57,58,62,65,66,69,71,
77,83,84,92,93,98,99,100,102,103,109,110,115,116,118,119,120,123,124,125,131,
136,137,138,140,143,146,148,150,151,153,156,158,159,161,164,166,167,169,171,
173,180,182,184,185,186,187,189,201,202,203,205,208,212,213,216,218,220,221,
222,224,225,230,234,236,237,240,242,254,256,257,259,262,279,289,290,297,299,
312,316,318,319,324,325,332,348,352,355,364,367,371,376,384,385,386,389,390,
394,397,403,409,417,422,431,436,450,453,460,464,465,468,471,472,478,479,493,
494,500,501,524,527,533,539,541,543,553,555,560,564,576,585,613,615,634,639,
648,652,660,677,681,692,702,711,723,747,763,767,774,818,857,859,863,930],[1,2,
5,6,7,8,9,11,12,13,14,16,18,19,20,22,24,25,26,30,31,32,33,34,35,36,37,38,39,
40,41,43,46,47,49,50,51,52,53,54,55,57,58,61,63,66,70,76,82,87,88,94,95,96,99,
100,106,113,114,115,117,118,119,126,128,129,132,133,135,136,137,139,141,142,
144,145,149,150,154,155,157,160,162,163,165,168,170,172,173,178,179,180,187,
192,194,196,197,200,201,204,205,206,207,214,215,216,219,220,224,227,229,233,
234,236,241,242,253,255,258,259,261,280,287,288,295,302,305,308,315,321,323,
330,335,339,349,351,353,357,360,367,368,369,370,372,379,390,405,407,413,423,
432,438,444,447,450,467,469,473,474,477,480,486,488,491,495,498,502,523,525,
534,536,538,542,544,556,558,562,577,583,593,604,636,645,646,653,664,671,686,
693,699,715,720,748,752,776,778,821,854,856,867,931],[1,2,5,6,7,8,9,11,12,13,
15,17,18,19,20,22,24,25,26,29,31,32,33,34,35,36,37,38,39,40,42,44,45,48,49,50,
51,52,53,54,55,57,58,61,63,66,70,75,81,87,88,94,95,96,99,100,105,113,114,116,
117,118,120,125,127,130,131,134,135,136,138,140,141,142,143,146,149,150,153,
156,158,159,161,164,166,167,169,171,174,178,179,180,188,193,194,196,198,199,
202,204,205,206,208,214,215,216,219,220,224,227,228,232,235,237,241,242,254,
256,257,259,261,279,287,288,296,301,306,307,316,322,324,330,334,340,350,352,
354,358,359,367,368,369,370,371,380,389,406,407,413,424,432,437,445,446,451,
468,471,475,476,478,479,482,483,494,496,497,501,522,524,535,537,539,543,545,
557,559,562,578,583,594,603,637,644,647,652,665,670,687,692,700,714,719,747,
751,775,777,820,855,857,866,932],[1,3,5,6,7,8,9,11,12,14,15,16,18,19,20,22,23,
26,28,29,30,31,32,34,35,36,38,39,40,41,43,45,46,47,48,49,50,52,53,54,55,56,57,
60,64,66,68,73,79,85,86,89,90,91,99,100,104,106,107,108,112,115,117,119,121,
122,128,131,132,133,135,137,139,140,143,144,147,149,152,155,157,160,162,163,
165,169,170,172,173,175,179,181,189,191,193,195,199,201,207,208,209,211,212,
215,216,217,218,219,222,224,232,233,239,242,243,244,253,255,258,259,266,280,
281,282,294,300,304,305,310,314,323,327,337,345,349,362,365,368,371,372,373,
374,375,381,390,391,399,401,409,429,440,445,448,455,456,457,463,466,469,474,
477,486,487,489,490,491,495,521,525,528,530,538,542,546,548,550,563,574,589,
599,608,635,636,658,673,674,685,690,693,694,706,708,748,750,760,772,833,856,
860,864,933],[1,3,5,6,7,8,9,11,13,14,15,17,18,19,20,22,23,26,28,29,30,31,32,
33,35,36,37,39,40,42,44,45,46,47,48,49,50,51,53,54,55,56,57,60,64,66,68,74,80,
85,86,89,90,91,99,100,103,105,107,108,111,116,118,120,121,122,127,131,132,134,
136,138,139,140,143,144,148,150,151,156,158,159,161,164,166,169,170,171,174,
175,180,182,190,191,192,195,200,202,207,208,210,211,213,214,216,217,218,220,
223,224,232,233,238,242,243,244,254,256,257,259,266,279,281,282,293,299,303,
306,309,313,324,327,338,346,350,361,366,367,371,372,373,374,376,382,389,392,
399,400,410,430,441,444,449,455,456,460,461,465,471,476,478,481,483,492,493,
494,496,520,524,529,531,539,543,547,549,551,563,573,589,600,607,634,637,659,
672,675,684,691,692,696,707,709,747,749,759,771,832,857,861,865,934],[1,2,5,6,
7,8,9,11,13,14,15,16,17,18,19,20,22,24,25,26,29,30,32,33,36,37,40,41,42,43,44,
45,46,47,48,50,51,53,54,56,57,58,61,64,65,70,75,76,81,82,88,90,92,94,96,99,
104,105,113,116,118,120,125,127,129,130,131,134,136,138,140,141,143,146,147,
150,152,153,156,158,159,161,164,166,167,169,171,174,177,181,182,188,193,194,
196,197,200,201,203,207,209,210,211,212,217,221,225,229,230,231,233,234,236,
238,243,254,256,257,259,264,279,287,291,296,301,306,307,316,322,324,329,334,
340,355,361,373,375,378,382,384,386,388,392,394,396,398,402,405,412,426,440,
442,447,454,465,472,475,476,478,479,481,485,492,493,500,503,520,527,529,531,
533,541,545,557,559,562,578,586,598,612,639,641,648,663,669,675,683,691,701,
714,718,747,753,770,784,815,859,861,866,935],[1,2,5,6,7,8,9,11,12,14,15,16,17,
18,19,20,22,24,25,26,29,30,31,34,35,38,39,41,42,43,44,45,46,47,48,49,52,53,54,
56,57,58,61,64,65,70,75,76,81,82,87,91,93,94,95,100,103,106,114,115,117,119,
126,128,129,130,132,133,135,137,139,142,144,145,148,149,151,154,155,157,160,
162,163,165,168,170,172,173,177,181,182,187,192,194,196,198,199,202,203,208,
209,210,211,213,218,221,226,228,230,231,232,235,237,239,243,253,255,258,259,
264,280,288,292,295,302,305,308,315,321,323,329,335,339,356,362,374,376,377,
381,383,385,387,391,393,395,397,402,406,411,425,441,443,446,454,466,470,473,
474,477,480,484,487,489,490,499,504,521,526,528,530,532,540,544,556,558,562,
577,587,597,611,638,640,649,662,668,674,682,690,698,715,721,748,754,769,783,
814,858,860,867,936],[1,2,3,4,5,6,7,8,9,10,11,18,19,20,21,22,23,24,25,26,27,
28,53,54,60,61,62,68,69,70,89,94,97,98,171,172,173,174,183,184,191,192,193,
196,259,260,270,325,326,333,336,337,338,339,340,562,563,564,623,627,791,802,
870,937],[1,2,3,4,5,6,7,8,9,10,11,18,19,20,21,22,23,24,25,26,27,28,57,58,60,
61,62,68,69,70,89,94,97,98,167,168,169,170,175,176,186,187,188,194,259,260,
270,327,328,331,332,334,335,341,343,562,563,564,624,628,791,801,869,938],[1,2,
3,4,5,6,7,8,9,10,11,18,19,20,21,22,23,24,25,26,27,28,55,56,60,61,62,68,69,70,
89,94,97,98,177,178,179,180,181,182,185,189,190,195,259,260,270,329,330,342,
344,345,346,347,348,562,563,564,625,626,791,803,868,939],[1,2,3,4,5,6,7,8,9,
10,13,21,23,24,25,27,28,29,32,42,48,59,60,61,62,63,64,65,66,74,77,88,97,122,
124,130,246,247,248,249,250,251,252,254,260,261,262,263,264,265,266,278,512,
513,514,515,516,517,518,551,553,559,565,743,787,795,879,890,896,940],[1,2,3,4,
5,6,7,8,9,10,12,21,23,24,25,27,28,30,31,41,47,59,60,61,62,63,64,65,66,73,78,
87,97,121,123,129,246,247,248,249,250,251,252,253,260,261,262,263,264,265,266,
277,512,513,514,515,516,517,518,550,552,558,565,743,788,796,880,891,895,941],[
1,2,3,4,5,6,7,8,9,10,14,21,23,24,25,27,28,34,35,43,52,59,60,61,62,63,64,65,66,
72,82,86,97,110,112,142,246,247,248,249,250,251,252,258,260,261,262,263,264,
265,266,274,512,513,514,515,516,517,518,544,546,561,565,743,786,797,886,888,
894,942],[1,2,3,4,5,6,7,8,9,10,15,21,23,24,25,27,28,33,36,44,51,59,60,61,62,
63,64,65,66,71,81,85,97,109,111,141,246,247,248,249,250,251,252,257,260,261,
262,263,264,265,266,273,512,513,514,515,516,517,518,545,547,560,565,743,785,
798,885,887,893,943],[1,2,3,4,5,6,7,8,9,10,16,21,23,24,25,27,28,38,39,46,49,
59,60,61,62,63,64,65,66,76,79,84,97,101,108,114,246,247,248,249,250,251,252,
255,260,261,262,263,264,265,266,276,512,513,514,515,516,517,518,548,554,556,
565,743,790,793,877,881,883,944],[1,2,3,4,5,6,7,8,9,10,17,21,23,24,25,27,28,
37,40,45,50,59,60,61,62,63,64,65,66,75,80,83,97,102,107,113,246,247,248,249,
250,251,252,256,260,261,262,263,264,265,266,275,512,513,514,515,516,517,518,
549,555,557,565,743,789,794,878,882,884,945],[1,2,3,4,5,6,7,8,9,10,11,18,19,
20,21,22,23,24,25,26,27,28,59,60,61,62,63,64,65,66,68,69,70,89,94,97,98,246,
247,248,249,250,251,252,259,260,261,262,263,264,265,266,270,512,513,514,515,
516,517,518,562,563,564,565,743,791,792,889,892,897,946],[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,
37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,68,69,70,71,
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,
232,233,234,235,236,237,238,239,240,241,242,243,244,270,271,272,273,274,275,
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,
504,567,568,569,570,571,572,573,574,575,576,577,578,579,580,581,582,583,584,
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,
718,719,720,721,722,723,724,725,726,727,728,729,799,800,801,802,803,804,805,
806,807,808,809,810,811,812,813,814,815,816,817,818,819,820,821,822,823,824,
825,826,827,828,829,830,831,832,833,834,835,836,837,898,899,900,901,902,947],[
1,2,3,4,5,6,7,8,9,10,21,23,24,25,27,28,53,54,55,56,57,58,60,61,62,63,64,65,66,
97,175,176,177,178,183,184,185,186,191,194,195,196,245,260,261,262,263,264,
265,266,333,341,344,505,506,507,508,509,510,511,565,629,730,731,732,733,734,
735,736,737,738,739,740,741,742,838,839,840,841,842,843,844,845,846,847,848,
849,850,903,904,905,948],[1,4,5,6,7,8,12,14,17,18,19,20,21,26,27,30,31,32,34,
35,36,38,40,41,42,43,44,46,47,48,49,51,52,53,55,56,57,58,59,72,78,83,90,93,95,
98,99,101,104,106,109,110,116,120,123,124,128,132,133,135,138,144,145,149,152,
154,155,157,160,165,168,170,172,174,179,181,183,185,186,188,190,198,204,207,
210,212,213,215,216,217,219,221,223,226,231,233,235,236,237,240,242,246,249,
251,272,283,290,295,305,310,317,320,326,331,347,349,351,356,359,361,363,368,
372,375,383,387,393,398,404,410,415,418,422,435,451,453,462,463,473,474,484,
486,487,488,490,491,498,499,512,572,591,614,616,633,636,656,658,662,668,679,
686,713,725,726,837,851,907,912,916,949],[1,4,5,6,7,8,13,15,16,18,19,20,21,26,
27,29,31,32,33,35,36,37,39,41,42,43,44,45,47,48,50,51,52,53,55,56,57,58,59,71,
77,84,91,92,96,98,100,102,103,105,109,110,115,119,123,124,127,131,134,136,137,
143,146,150,151,153,156,158,159,166,167,169,172,174,180,182,183,185,186,187,
189,197,205,208,209,212,213,214,216,218,220,221,222,225,230,232,234,236,237,
240,242,246,249,251,271,284,289,296,306,309,318,319,326,332,348,350,352,355,
360,362,364,367,371,376,384,388,394,397,403,409,414,417,422,436,450,453,459,
461,475,476,481,482,483,485,492,496,497,503,512,571,592,613,615,632,637,657,
659,663,669,678,687,712,722,727,836,852,906,913,917,950],[1,3,5,6,7,8,12,13,
16,17,19,20,22,23,26,28,30,31,33,34,37,38,39,41,42,43,44,46,47,49,51,52,53,54,
55,56,57,59,73,74,79,80,89,92,93,95,96,104,106,108,111,112,115,117,119,121,
125,126,128,135,145,146,147,153,154,155,157,163,165,169,170,172,173,175,179,
181,189,191,193,195,197,198,200,202,203,206,210,213,214,220,221,223,225,226,
227,234,235,238,240,241,248,249,250,272,285,286,294,295,304,311,315,327,337,
345,356,357,360,363,369,379,380,385,387,393,394,396,400,412,417,427,433,434,
437,449,452,457,463,466,469,474,477,486,487,498,499,502,504,517,568,584,601,
605,643,645,646,649,667,668,676,679,694,706,729,825,851,907,909,919,951],[1,3,
5,6,7,8,12,13,16,17,19,20,22,23,26,28,29,32,33,34,37,38,40,41,42,43,44,45,48,
50,51,52,53,54,55,56,57,59,73,74,79,80,89,92,93,95,96,103,105,107,111,112,116,
118,120,122,125,126,127,136,145,146,148,153,154,156,158,164,166,169,170,171,
174,175,180,182,190,191,192,195,197,198,199,201,203,206,209,212,215,219,221,
222,225,226,227,234,235,239,240,241,248,249,250,271,285,286,293,296,303,312,
316,327,338,346,355,358,359,364,370,379,380,386,388,393,394,395,401,411,418,
428,433,434,438,448,452,460,461,465,471,476,478,481,483,497,500,501,503,517,
567,584,602,606,642,644,647,648,666,669,677,678,696,707,728,824,852,906,908,
918,952],[1,2,5,6,7,8,14,15,16,17,18,19,20,22,24,25,29,30,34,35,38,39,41,42,
43,44,45,46,47,48,49,52,53,54,55,57,58,59,75,76,81,82,90,91,92,93,94,103,104,
114,119,126,128,129,130,133,137,139,142,144,145,147,148,151,152,157,160,163,
165,168,170,172,173,178,179,180,187,192,194,196,198,199,202,203,208,209,210,
211,221,222,223,228,230,231,232,235,237,240,243,244,247,249,252,272,291,292,
300,302,308,310,311,330,335,339,362,363,364,365,366,374,377,381,383,385,387,
393,397,402,406,411,421,425,441,446,454,457,458,462,463,467,469,486,488,491,
495,498,502,514,569,590,597,611,631,656,661,673,676,679,685,688,699,717,720,
823,851,907,910,914,953],[1,2,5,6,7,8,14,15,16,17,18,19,20,22,24,25,29,30,33,
36,37,40,41,42,43,44,45,46,47,48,50,51,53,54,55,57,58,59,75,76,81,82,90,91,92,
93,94,103,104,113,120,125,127,129,130,134,138,140,141,143,146,147,148,151,152,
158,159,164,166,167,169,171,174,178,179,180,188,193,194,196,197,200,201,203,
207,209,210,211,221,222,223,229,230,231,233,234,236,240,243,244,247,249,252,
271,291,292,299,301,307,309,312,330,334,340,361,363,364,365,366,373,378,382,
384,386,388,394,398,402,405,412,421,426,440,447,454,459,460,461,464,468,471,
482,483,494,496,497,501,514,570,590,598,612,630,657,660,672,677,678,684,689,
700,716,719,822,852,906,911,915,954],[1,3,5,6,7,8,12,15,16,19,20,22,23,26,28,
29,30,31,32,34,36,38,39,40,41,43,45,46,47,48,49,50,52,53,54,55,56,58,59,73,79,
85,89,91,92,95,99,104,106,107,108,112,115,117,119,121,122,126,128,131,135,140,
143,145,147,154,155,157,163,165,167,168,172,173,176,179,181,189,191,193,195,
199,201,204,209,211,212,215,216,217,218,219,222,224,228,230,232,233,236,239,
244,248,251,252,272,281,285,294,295,304,311,315,328,337,345,349,351,354,362,
365,368,375,377,381,384,390,391,399,401,409,419,429,440,445,448,456,458,462,
467,470,473,480,484,488,498,499,502,504,515,568,582,599,608,631,633,640,653,
680,682,686,688,695,705,729,834,851,910,912,919,955],[1,3,5,6,7,8,13,14,17,19,
20,22,23,26,28,29,30,31,32,33,35,37,39,40,42,44,45,46,47,48,49,50,51,53,54,55,
56,58,59,74,80,86,89,90,93,96,100,103,105,107,108,111,116,118,120,121,122,125,
127,132,136,139,144,146,148,153,156,158,164,166,167,168,171,174,176,180,182,
190,191,192,195,200,202,205,210,211,213,214,216,217,218,220,223,224,229,231,
232,233,237,238,244,248,251,252,271,282,286,293,296,303,312,316,328,338,346,
350,352,353,361,366,367,376,378,382,383,389,392,399,400,410,420,430,441,444,
449,456,459,464,468,472,475,479,482,485,497,500,501,503,515,567,581,600,607,
630,632,641,652,681,683,687,689,697,704,728,835,852,911,913,918,956],[1,4,5,6,
7,8,12,13,14,15,18,19,20,21,26,27,29,30,31,33,34,35,37,38,41,43,45,46,47,49,
50,52,54,55,56,57,58,59,71,72,77,78,90,91,95,96,98,101,102,104,105,106,110,
123,127,128,132,133,134,135,144,145,149,152,154,155,157,160,165,168,170,171,
173,179,181,184,185,186,188,190,199,200,205,206,208,211,218,220,222,225,227,
228,229,230,234,238,239,241,243,244,246,250,252,272,283,284,295,305,310,317,
320,325,331,347,353,357,358,365,369,374,377,379,381,382,391,396,403,408,416,
424,426,428,430,436,439,457,458,477,480,484,486,487,488,489,495,502,504,513,
572,588,596,610,631,643,646,654,664,682,685,690,710,724,726,829,851,909,910,
916,957],[1,4,5,6,7,8,12,13,14,15,18,19,20,21,26,27,29,30,32,33,34,36,37,38,
42,44,45,46,48,49,50,51,54,55,56,57,58,59,71,72,77,78,90,91,95,96,98,101,102,
103,105,106,109,124,127,128,131,133,134,136,143,146,150,151,153,156,158,159,
166,167,169,171,173,180,182,184,185,186,187,189,199,200,204,206,207,211,217,
219,223,226,227,228,229,231,235,238,239,241,243,244,246,250,252,271,283,284,
296,306,309,318,319,325,332,348,354,357,358,366,370,373,378,380,381,382,392,
395,404,408,416,423,425,427,429,435,439,460,464,478,479,481,482,483,485,493,
494,500,501,513,571,588,595,609,630,642,647,655,665,683,684,691,711,723,727,
828,852,908,911,917,958],[1,2,5,6,7,8,12,15,17,18,19,20,22,24,25,29,31,33,34,
35,36,37,38,39,40,42,44,45,48,49,50,51,52,53,54,56,57,58,59,75,81,87,91,93,94,
95,100,103,113,114,117,120,125,127,130,134,135,138,140,141,142,143,146,148,
149,151,158,159,164,166,167,169,171,174,177,181,182,188,193,194,196,198,199,
202,204,205,206,208,213,214,215,218,224,226,228,232,235,237,239,241,242,247,
250,251,271,288,292,299,301,307,309,312,329,334,340,350,352,354,356,358,359,
371,376,380,389,391,395,406,407,424,432,437,443,445,446,451,459,460,461,464,
465,472,481,485,492,493,500,503,516,570,587,594,603,632,634,642,651,655,659,
666,681,701,716,718,816,852,908,913,915,959],[1,2,5,6,7,8,13,14,16,18,19,20,
22,24,25,30,32,33,34,35,36,37,38,39,40,41,43,46,47,49,50,51,52,53,54,56,57,58,
59,76,82,88,90,92,94,96,99,104,113,114,118,119,126,128,129,133,136,137,139,
141,142,144,145,147,150,152,157,160,163,165,168,170,172,173,177,181,182,187,
192,194,196,197,200,201,204,205,206,207,212,214,215,217,224,225,229,233,234,
236,238,241,242,247,250,251,272,287,291,300,302,308,310,311,329,335,339,349,
351,353,355,357,360,372,375,379,390,392,396,405,407,423,432,438,442,444,447,
450,457,458,462,463,466,470,484,487,489,490,499,504,516,569,586,593,604,633,
635,643,650,654,658,667,680,698,717,721,817,851,909,912,914,960],[1,2,3,4,5,6,
7,8,10,11,13,15,17,18,19,20,21,22,23,24,25,26,27,28,29,32,33,36,37,40,42,44,
45,48,50,51,59,68,69,70,71,74,75,77,80,81,83,85,88,89,91,93,94,96,97,98,99,
102,103,105,107,109,111,113,116,118,120,122,124,125,127,130,131,134,136,138,
140,141,143,146,148,150,151,153,156,158,159,161,164,166,246,247,248,270,271,
273,275,278,279,281,284,286,287,290,292,293,296,297,299,301,303,306,307,309,
312,313,316,318,319,322,324,518,567,570,571,573,576,578,579,799,852,915,917,
918,961],[1,2,3,4,5,6,7,8,10,11,12,14,16,18,19,20,21,22,23,24,25,26,27,28,30,
31,34,35,38,39,41,43,46,47,49,52,59,68,69,70,72,73,76,78,79,82,84,86,87,89,90,
92,94,95,97,98,100,101,104,106,108,110,112,114,115,117,119,121,123,126,128,
129,132,133,135,137,139,142,144,145,147,149,152,154,155,157,160,162,163,165,
246,247,248,270,272,274,276,277,280,282,283,285,288,289,291,294,295,298,300,
302,304,305,308,310,311,314,315,317,320,321,323,518,568,569,572,574,575,577,
580,800,851,914,916,919,962],[1,4,7,8,9,12,13,21,29,30,55,56,62,63,64,67,77,
78,185,227,238,239,244,253,254,263,269,408,519,528,529,536,537,552,553,745,
757,758,920,963],[1,4,7,8,9,14,15,21,33,34,57,58,62,63,64,67,71,72,186,228,
229,241,243,257,258,263,269,416,519,530,531,534,535,560,561,745,779,780,921,
964],[1,2,5,7,9,16,17,24,45,46,53,54,61,64,65,67,75,76,196,203,209,210,211,
255,256,264,267,402,519,520,521,532,533,556,557,746,783,784,922,965],[1,2,5,7,
9,14,15,24,43,44,57,58,61,64,65,67,81,82,194,221,230,231,243,257,258,264,267,
454,519,526,527,530,531,544,545,746,753,754,921,966],[1,3,6,7,9,14,15,23,35,
36,57,60,64,66,67,85,86,175,207,208,242,243,257,258,266,268,455,519,530,531,
542,543,546,547,744,749,750,921,967],[1,3,5,8,9,12,13,28,41,42,55,56,60,63,65,
67,73,74,195,225,226,227,240,253,254,265,268,433,519,536,537,540,541,550,551,
744,761,762,920,968],[1,4,5,6,9,16,17,27,39,40,54,62,65,66,67,83,84,184,201,
202,203,224,255,256,262,269,431,519,524,525,532,533,554,555,745,763,764,922,
969],[1,2,6,8,9,12,13,25,31,32,55,61,63,66,67,87,88,178,216,219,220,227,253,
254,261,267,413,519,536,537,538,539,558,559,746,777,778,920,970],[1,3,5,8,9,
16,17,28,37,38,53,54,60,63,65,67,79,80,191,197,198,203,206,255,256,265,268,
434,519,522,523,532,533,548,549,744,781,782,922,971],[1,8,9,12,13,55,59,63,
227,245,250,253,254,506,536,537,738,795,796,972],[1,7,9,14,15,57,59,64,243,
245,252,257,258,505,530,531,741,797,798,973],[1,5,9,16,17,54,59,65,203,245,
249,255,256,507,532,533,740,793,794,974],[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,
42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,68,69,
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,
230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,253,255,258,259,
260,261,262,263,264,265,266,270,272,273,274,275,276,277,278,280,281,282,283,
284,285,286,287,288,289,290,291,292,293,294,295,297,298,300,301,302,303,304,
305,307,308,310,311,313,314,315,317,318,319,320,321,322,323,325,326,327,328,
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,
443,444,445,446,447,448,449,450,451,452,453,454,455,456,457,458,462,463,466,
467,469,470,473,474,477,480,484,486,487,488,489,490,491,495,498,499,502,504,
521,523,525,526,528,530,532,534,536,538,540,542,544,546,548,550,552,554,556,
558,561,562,563,564,565,568,569,572,574,575,577,579,580,581,582,583,584,585,
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,
624,625,631,633,635,636,638,640,643,645,646,649,650,653,654,656,658,661,662,
664,667,668,671,673,674,676,679,680,682,685,686,688,690,693,694,695,698,699,
703,705,706,708,710,713,715,717,720,721,724,725,726,729,748,750,752,754,756,
758,760,762,764,766,768,769,772,773,776,778,779,782,783,786,788,790,791,800,
805,807,809,811,812,813,814,817,819,821,823,825,826,829,831,833,834,837,854,
856,858,860,862,864,867,872,873,876,901,923,926,927,929,931,933,936,975],[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,
57,58,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,
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,
241,242,243,244,254,256,257,259,260,261,262,263,264,265,266,270,271,273,274,
275,276,277,278,279,281,282,283,284,285,286,287,288,289,290,291,292,293,294,
296,297,298,299,301,302,303,304,306,307,308,309,312,313,314,316,317,318,319,
320,321,322,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,
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,
454,455,456,459,460,461,464,465,468,471,472,475,476,478,479,481,482,483,485,
492,493,494,496,497,500,501,503,520,522,524,527,529,531,533,535,537,539,541,
543,545,547,549,551,553,555,557,559,560,562,563,564,565,567,570,571,573,576,
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,
616,617,618,619,620,621,622,623,624,625,630,632,634,637,639,641,642,644,647,
648,651,652,655,657,659,660,663,665,666,669,670,672,675,677,678,681,683,684,
687,689,691,692,696,697,700,701,702,704,707,709,711,712,714,716,718,719,722,
723,727,728,747,749,751,753,755,757,759,761,763,765,767,770,771,774,775,777,
780,781,784,785,787,789,791,799,806,808,810,811,812,813,815,816,818,820,822,
824,827,828,830,832,835,836,855,857,859,861,863,865,866,871,874,875,902,924,
925,928,930,932,934,935,976],[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,
46,47,48,49,50,51,52,53,54,55,56,57,58,59,68,69,70,71,72,73,74,75,76,77,78,79,
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,
237,238,239,240,241,242,243,244,246,247,248,249,250,251,252,270,272,273,274,
275,276,277,278,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,
295,297,298,300,301,302,303,304,305,307,308,310,311,313,314,315,317,318,319,
320,321,322,323,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,
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,
454,455,456,457,458,462,463,466,467,469,470,473,474,477,480,484,486,487,488,
489,490,491,495,498,499,502,504,512,513,514,515,516,517,518,568,569,572,574,
575,577,579,580,581,582,583,584,585,586,587,588,589,590,591,592,593,594,595,
596,597,598,599,600,601,602,603,604,605,606,607,608,609,610,611,612,613,614,
615,616,617,618,619,620,621,622,623,624,625,631,633,635,636,638,640,643,645,
646,649,650,653,654,656,658,661,662,664,667,668,671,673,674,676,679,680,682,
685,686,688,690,693,694,695,698,699,703,705,706,708,710,713,715,717,720,721,
724,725,726,729,743,800,805,807,809,811,812,813,814,817,819,821,823,825,826,
829,831,833,834,837,851,901,907,909,910,912,914,916,919,949,951,953,955,957,
960,962,977],[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,
52,53,54,55,56,57,58,59,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,
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,
242,243,244,246,247,248,249,250,251,252,270,271,273,274,275,276,277,278,279,
281,282,283,284,285,286,287,288,289,290,291,292,293,294,296,297,298,299,301,
302,303,304,306,307,308,309,312,313,314,316,317,318,319,320,321,322,324,325,
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,
440,441,442,443,444,445,446,447,448,449,450,451,452,453,454,455,456,459,460,
461,464,465,468,471,472,475,476,478,479,481,482,483,485,492,493,494,496,497,
500,501,503,512,513,514,515,516,517,518,567,570,571,573,576,578,579,580,581,
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,
620,621,622,623,624,625,630,632,634,637,639,641,642,644,647,648,651,652,655,
657,659,660,663,665,666,669,670,672,675,677,678,681,683,684,687,689,691,692,
696,697,700,701,702,704,707,709,711,712,714,716,718,719,722,723,727,728,743,
799,806,808,810,811,812,813,815,816,818,820,822,824,827,828,830,832,835,836,
852,902,906,908,911,913,915,917,918,950,952,954,956,958,959,961,978],[1,2,3,4,
5,6,7,8,9,10,14,15,21,23,24,25,27,28,33,34,35,36,43,44,51,52,57,58,60,61,62,
63,64,65,66,67,71,72,81,82,85,86,97,109,110,111,112,141,142,175,176,186,194,
204,205,207,208,221,228,229,230,231,234,235,236,237,241,242,243,257,258,260,
261,262,263,264,265,266,267,268,269,273,274,341,403,404,407,416,419,420,422,
446,447,452,454,455,519,526,527,530,531,534,535,542,543,544,545,546,547,560,
561,565,566,618,744,745,746,749,750,753,754,755,756,767,768,775,776,779,780,
785,786,853,875,876,921,964,966,967,979],[1,2,3,4,5,6,7,8,9,10,16,17,21,23,24,
25,27,28,37,38,39,40,45,46,49,50,53,54,60,61,62,63,64,65,66,67,75,76,79,80,83,
84,97,101,102,107,108,113,114,183,184,191,196,197,198,199,200,201,202,203,206,
209,210,211,214,215,224,232,233,255,256,260,261,262,263,264,265,266,267,268,
269,275,276,333,399,400,401,402,405,406,414,415,431,432,434,439,519,520,521,
522,523,524,525,532,533,548,549,554,555,556,557,565,566,620,744,745,746,751,
752,763,764,765,766,771,772,781,782,783,784,789,790,853,871,872,922,965,969,
971,980],[1,2,3,4,5,6,7,8,9,10,12,13,21,23,24,25,27,28,29,30,31,32,41,42,47,
48,55,56,60,61,62,63,64,65,66,67,73,74,77,78,87,88,97,121,122,123,124,129,130,
177,178,185,195,212,213,216,217,218,219,220,222,223,225,226,227,238,239,240,
244,253,254,260,261,262,263,264,265,266,267,268,269,277,278,344,408,413,421,
433,435,436,442,443,448,449,453,456,519,528,529,536,537,538,539,540,541,550,
551,552,553,558,559,565,566,622,744,745,746,757,758,759,760,761,762,769,770,
773,774,777,778,787,788,853,873,874,920,963,968,970,981],[1,3,6,7,9,14,15,23,
35,36,57,59,60,64,66,85,86,175,207,208,242,243,245,248,251,252,257,258,266,
455,505,508,511,515,530,531,542,543,546,547,730,741,749,750,797,798,842,893,
894,973,982],[1,4,5,6,9,16,17,27,39,40,54,59,62,65,66,83,84,184,201,202,203,
224,245,246,249,251,255,256,262,431,507,508,509,512,524,525,532,533,554,555,
732,740,763,764,793,794,840,877,878,974,983],[1,3,5,8,9,16,17,28,37,38,53,54,
59,60,63,65,79,80,191,197,198,203,206,245,248,249,250,255,256,265,434,506,507,
511,517,522,523,532,533,548,549,734,739,740,781,782,793,794,844,881,882,974,
984],[1,2,5,7,9,14,15,24,43,44,57,58,59,61,64,65,81,82,194,221,230,231,243,
245,247,249,252,257,258,264,454,505,507,510,514,526,527,530,531,544,545,733,
741,742,753,754,797,798,845,885,886,973,985],[1,3,5,8,9,12,13,28,41,42,55,56,
59,60,63,65,73,74,195,225,226,227,240,245,248,249,250,253,254,265,433,506,507,
511,517,536,537,540,541,550,551,734,737,738,761,762,795,796,849,879,880,972,
986],[1,2,6,8,9,12,13,25,31,32,55,59,61,63,66,87,88,178,216,219,220,227,245,
247,250,251,253,254,261,413,506,508,510,516,536,537,538,539,558,559,735,738,
777,778,795,796,838,890,891,972,987],[1,4,7,8,9,14,15,21,33,34,57,58,59,62,63,
64,71,72,186,228,229,241,243,245,246,250,252,257,258,263,416,505,506,509,513,
530,531,534,535,560,561,731,741,742,779,780,797,798,848,887,888,973,988],[1,4,
7,8,9,12,13,21,29,30,55,56,59,62,63,64,77,78,185,227,238,239,244,245,246,250,
252,253,254,263,408,505,506,509,513,528,529,536,537,552,553,731,737,738,757,
758,795,796,846,895,896,972,989],[1,2,5,7,9,16,17,24,45,46,53,54,59,61,64,65,
75,76,196,203,209,210,211,245,247,249,252,255,256,264,402,505,507,510,514,520,
521,532,533,556,557,733,739,740,783,784,793,794,847,883,884,974,990],[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,
58,60,61,62,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,
90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,
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,
253,254,255,256,257,258,259,260,270,271,272,273,274,275,276,277,278,279,280,
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,
490,491,492,493,494,495,496,497,498,499,500,501,502,503,504,544,545,546,547,
548,549,550,551,552,553,554,555,556,557,558,559,560,561,562,563,564,567,568,
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,
721,722,723,724,725,726,727,728,729,747,748,785,786,787,788,789,790,791,799,
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,
862,863,864,865,866,867,868,869,870,898,899,900,901,902,923,924,937,938,939,
947,991],[1,2,3,4,5,6,7,8,9,10,14,15,21,23,24,25,27,28,33,34,35,36,43,44,51,
52,57,58,59,60,61,62,63,64,65,66,71,72,81,82,85,86,97,109,110,111,112,141,142,
175,176,186,194,204,205,207,208,221,228,229,230,231,234,235,236,237,241,242,
243,245,246,247,248,249,250,251,252,257,258,260,261,262,263,264,265,266,273,
274,341,403,404,407,416,419,420,422,446,447,452,454,455,505,506,507,508,509,
510,511,512,513,514,515,516,517,518,526,527,530,531,534,535,542,543,544,545,
546,547,560,561,565,618,730,731,732,733,734,735,736,741,742,743,749,750,753,
754,755,756,767,768,775,776,779,780,785,786,797,798,842,843,845,848,850,875,
876,885,886,887,888,893,894,903,942,943,973,982,985,988,992],[1,2,3,4,5,6,7,8,
9,10,12,13,21,23,24,25,27,28,29,30,31,32,41,42,47,48,55,56,59,60,61,62,63,64,
65,66,73,74,77,78,87,88,97,121,122,123,124,129,130,177,178,185,195,212,213,
216,217,218,219,220,222,223,225,226,227,238,239,240,244,245,246,247,248,249,
250,251,252,253,254,260,261,262,263,264,265,266,277,278,344,408,413,421,433,
435,436,442,443,448,449,453,456,505,506,507,508,509,510,511,512,513,514,515,
516,517,518,528,529,536,537,538,539,540,541,550,551,552,553,558,559,565,622,
730,731,732,733,734,735,736,737,738,743,757,758,759,760,761,762,769,770,773,
774,777,778,787,788,795,796,838,839,846,849,850,873,874,879,880,890,891,895,
896,904,940,941,972,986,987,989,993],[1,2,3,4,5,6,7,8,9,10,16,17,21,23,24,25,
27,28,37,38,39,40,45,46,49,50,53,54,59,60,61,62,63,64,65,66,75,76,79,80,83,84,
97,101,102,107,108,113,114,183,184,191,196,197,198,199,200,201,202,203,206,
209,210,211,214,215,224,232,233,245,246,247,248,249,250,251,252,255,256,260,
261,262,263,264,265,266,275,276,333,399,400,401,402,405,406,414,415,431,432,
434,439,505,506,507,508,509,510,511,512,513,514,515,516,517,518,520,521,522,
523,524,525,532,533,548,549,554,555,556,557,565,620,730,731,732,733,734,735,
736,739,740,743,751,752,763,764,765,766,771,772,781,782,783,784,789,790,793,
794,840,841,844,847,850,871,872,877,878,881,882,883,884,905,944,945,974,983,
984,990,994],[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,
51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,
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,
236,237,238,239,240,241,242,243,244,246,247,248,249,250,251,252,253,254,255,
256,257,258,259,260,261,262,263,264,265,266,270,271,272,273,274,275,276,277,
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,
487,488,489,490,491,492,493,494,495,496,497,498,499,500,501,502,503,504,512,
513,514,515,516,517,518,520,522,524,527,529,531,533,535,537,539,541,543,544,
545,546,547,548,549,550,551,552,553,554,555,556,557,558,559,560,561,562,563,
564,565,567,568,569,570,571,572,573,574,575,576,577,578,579,580,581,582,583,
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,
717,718,719,720,721,722,723,724,725,726,727,728,729,743,747,748,749,751,753,
755,757,759,761,763,765,767,770,771,774,775,777,780,781,784,785,786,787,788,
789,790,791,792,793,796,797,799,800,801,802,803,804,805,806,807,808,809,810,
811,812,813,814,815,816,817,818,819,820,821,822,823,824,825,826,827,828,829,
830,831,832,833,834,835,836,837,852,855,857,859,861,862,863,864,865,866,867,
868,869,870,871,874,875,877,880,881,883,886,888,889,891,892,894,895,897,898,
899,900,901,902,906,908,911,913,915,917,918,923,924,925,928,930,932,934,935,
937,938,939,941,942,944,946,947,950,952,954,956,958,959,961,976,978,991,995],[
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,
56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,
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,
239,240,241,242,243,244,246,247,248,249,250,251,252,253,254,255,256,257,258,
259,260,261,262,263,264,265,266,270,271,272,273,274,275,276,277,278,279,280,
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,
490,491,492,493,494,495,496,497,498,499,500,501,502,503,504,512,513,514,515,
516,517,518,521,523,525,526,528,530,532,534,536,538,540,542,544,545,546,547,
548,549,550,551,552,553,554,555,556,557,558,559,560,561,562,563,564,565,567,
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,
720,721,722,723,724,725,726,727,728,729,743,747,748,750,752,754,756,758,760,
762,764,766,768,769,772,773,776,778,779,782,783,785,786,787,788,789,790,791,
792,794,795,798,799,800,801,802,803,804,805,806,807,808,809,810,811,812,813,
814,815,816,817,818,819,820,821,822,823,824,825,826,827,828,829,830,831,832,
833,834,835,836,837,851,854,856,858,860,862,863,864,865,866,867,868,869,870,
872,873,876,878,879,882,884,885,887,889,890,892,893,896,897,898,899,900,901,
902,907,909,910,912,914,916,919,923,924,926,927,929,931,933,936,937,938,939,
940,943,945,946,947,949,951,953,955,957,960,962,975,977,991,996],[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]],
0,
[[1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1,1,1,1],[1,3,1],[1,3,
1],[1,3,1],[1,3,1],[1,3,1],[1,3,1],[1,3,1],[1,1,2,1],[1,1,1,1,1],[1,1,1,1,1],[
1,1,1,1,1],[1,2,1,1],[1,1,1,1,1],[1,1,1,1,1],[1,1,1,1,1],[1,1,2,1],[1,1,1,1,
1],[1,1,1,1,1],[1,2,1,1],[1,2,1,1],[1,2,1,1],[1,2,1,1],[1,1,2,1],[1,1,2,1],[1,
2,1,1],[1,2,1,1],[1,1,2,1],[1,1,2,1],[1,1,2,1],[1,1,2,1],[1,2,1,1],[1,2,1,1],[
1,2,1,1],[1,2,1,1],[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],[1,1,1,1,1],[1,1,1,1,1],[1,1,1],[1,1,1],[1,1,1],[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],[1,1],[1,1,3,3,1,3,3,1],[1,1,3,3,1,3,3,1],[1,1,3,3,1,3,3,1],[1,1,3,3,1,3,3,
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],[1,1,3,3,1,3,3,1],[1,
1,3,3,1,3,3,1],[1,1,3,3,1,3,3,1],[1,1,3,3,1,3,3,1],[1,1,3,3,1,3,3,1],[1,1,3,3,
1,3,3,1],[1,1,3,3,1,3,3,1],[1,1,3,3,1,3,3,1],[1,1,3,3,1,3,3,1],[1,1,3,3,1,3,3,
1],[1,1,3,3,1,3,3,1],[1,1,3,3,1,3,3,1],[1,1,3,3,1,3,3,1],[1,1,3,3,1,3,3,1],[1,
1,2,1,1,2,1,1,1,1,1,2,1],[1,1,5,1,2,1,2,2,1],[1,1,5,1,2,1,2,2,1],[1,5,1,1,2,1,
2,2,1],[1,5,1,1,2,1,2,2,1],[1,1,2,1,2,1,1,1,1,1,2,1,1],[1,1,1,5,2,1,2,2,1],[1,
1,1,5,2,1,2,2,1],[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,1,1,2,2,1,1,1,2,1,1,
1],[1,1,4,1,1,1,2,2,2,1],[1,1,4,1,1,1,2,2,2,1],[1,1,1,1,2,2,2,1,1,1,2,1],[1,1,
1,1,2,2,2,1,1,1,2,1],[1,3,3,1,1,1,1,2,2,1],[1,3,3,1,1,1,1,2,2,1],[1,1,2,4,1,1,
1,2,2,1],[1,1,2,4,1,1,1,2,2,1],[1,1,1,2,2,1,2,1,1,1,2,1],[1,1,1,2,2,1,2,1,1,1,
2,1],[1,1,2,2,1,1,1,2,1,1,2,1],[1,1,2,2,1,1,1,2,1,1,2,1],[1,1,2,1,1,2,1,2,1,1,
2,1],[1,1,2,1,1,2,1,2,1,1,2,1],[1,1,1,2,1,2,1,2,1,1,2,1],[1,1,1,2,1,2,1,2,1,1,
2,1],[1,2,3,2,1,1,2,1,2,1],[1,2,3,2,1,1,2,1,2,1],[1,2,3,2,1,2,1,1,2,1],[1,2,3,
2,1,2,1,1,2,1],[1,3,2,1,1,1,1,1,2,2,1],[1,3,2,1,1,1,1,1,2,2,1],[1,1,1,2,2,1,2,
1,1,1,2,1],[1,1,1,2,2,1,2,1,1,1,2,1],[1,1,2,2,1,1,1,2,1,1,2,1],[1,1,2,2,1,1,1,
2,1,1,2,1],[1,4,1,2,1,1,1,2,2,1],[1,4,1,2,1,1,1,2,2,1],[1,1,3,3,1,2,2,1,1,1],[
1,1,3,3,1,2,2,1,1,1],[1,1,2,1,2,1,2,1,1,1,2,1],[1,1,2,1,2,1,2,1,1,1,2,1],[1,3,
2,2,1,1,1,2,2,1],[1,3,2,2,1,1,1,2,2,1],[1,1,4,2,1,1,2,1,2,1],[1,1,4,2,1,1,2,1,
2,1],[1,1,2,1,3,1,1,1,2,2,1],[1,1,2,1,3,1,1,1,2,2,1],[1,2,3,2,1,1,2,1,2,1],[1,
2,3,2,1,1,2,1,2,1],[1,2,3,2,1,2,1,1,2,1],[1,2,3,2,1,2,1,1,2,1],[1,1,1,2,1,2,1,
2,1,1,2,1],[1,1,1,2,1,2,1,2,1,1,2,1],[1,1,2,3,1,1,1,1,2,2,1],[1,1,2,3,1,1,1,1,
2,2,1],[1,3,1,3,1,1,2,2,1,1],[1,3,1,3,1,1,2,2,1,1],[1,4,1,2,1,1,2,1,2,1],[1,4,
1,2,1,1,2,1,2,1],[1,3,2,2,1,2,1,1,2,1],[1,3,2,2,1,2,1,1,2,1],[1,2,1,4,1,1,1,2,
2,1],[1,2,1,4,1,1,1,2,2,1],[1,2,1,4,1,1,2,1,2,1],[1,2,1,4,1,1,2,1,2,1],[1,1,2,
1,3,1,1,1,1,1,1,1,1],[1,1,2,1,3,1,1,1,1,1,1,1,1],[1,2,1,2,2,1,1,1,1,1,1,1,1],[
1,2,1,2,2,1,1,1,1,1,1,1,1],[1,1,2,3,1,1,1,1,1,1,1,1,1],[1,1,2,3,1,1,1,1,1,1,1,
1,1],[1,1,4,1,1,1,1,1,1,1,1,1,1],[1,1,4,1,1,1,1,1,1,1,1,1,1],[1,3,2,1,1,1,1,1,
1,1,1,1,1],[1,3,2,1,1,1,1,1,1,1,1,1,1],[1,2,1,2,2,1,1,1,1,1,1,1,1],[1,2,1,2,2,
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],[1,1,1,1,1,2,
1],[1,1,1,1,1,2,1],[1,1,1,1,1,2,1],[1,1,1,1,1,2,1],[1,1,1,1,1,2,1],[1,1,1,1,1,
2,1],[1,1,1,1,1,2,1],[1,1,1,1,1,2,1],[1,1,1,1,1,2,1],[1,1,1,1,1,2,1],[1,1,1,1,
1,2,1],[1,1,1,1,1,2,1],[1,1,1,1,1,2,1],[1,1,1,1,1,2,1],[1,1,1,1,1,2,1],[1,1,1,
1,1,1,1,1],[1,1,1,1,1,1,1,1],[1,1,2,1,1,1,1],[1,1,2,1,1,1,1],[1,1,2,1,1,1,1],[
1,1,2,1,1,1,1],[1,1,1,1,1,1,1,1],[1,2,1,1,1,1,1],[1,2,1,1,1,1,1],[1,1,1,1,1,1,
1,1],[1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1,1],[1,3,2,1,1,1,1],[1,3,2,1,1,1,1],[1,1,
2,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,3,2,1,1,1,1],[1,3,2,1,1,1,1],[1,5,1,1,1,1],[
1,2,1,2,1,1,1,1],[1,2,1,2,1,1,1,1],[1,1,4,1,1,1,1],[1,2,3,1,1,1,1],[1,2,3,1,1,
1,1],[1,3,2,1,1,1,1],[1,3,2,1,1,1,1],[1,1,4,1,1,1,1],[1,2,2,1,1,1,1,1],[1,2,2,
1,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,4,1,1,1,1,1],[1,2,2,1,1,1,1,
1],[1,2,2,1,1,1,1,1],[1,2,3,1,1,1,1],[1,2,3,1,1,1,1],[1,4,1,1,1,1,1],[1,2,2,1,
1,1,1,1],[1,2,2,1,1,1,1,1],[1,1,4,1,1,1,1],[1,2,3,1,1,1,1],[1,2,3,1,1,1,1],[1,
5,1,1,1,1],[1,3,2,1,1,1,1],[1,3,2,1,1,1,1],[1,2,3,1,1,1,1],[1,2,3,1,1,1,1],[1,
1,2,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,2,1,2,1,1,1,1],[1,2,1,2,1,1,1,1],[1,2,2,1,
1,1,1,1],[1,2,2,1,1,1,1,1],[1,2,3,1,1,1,1],[1,2,3,1,1,1,1],[1,4,1,1,1,1,1],[1,
1,4,1,1,1,1],[1,4,1,1,1,1,1],[1,5,1,1,1,1],[1,4,1,1,1,1,1],[1,4,1],[1,1,1,1],[
1,1,1,1],[1,1,1,1],[1,5,1,1],[1,5,1,1],[1,5,1,1],[1,5,1,1],[1,3,4,1,1],[1,3,4,
1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,1,1,1,1,1,
1,1,1,1],[1,1,3,3,1,3,1,1,1,1],[1,1,3,3,1,3,1,1,1,1],[1,1,3,3,1,3,1,1,1,1],[1,
1,3,3,1,3,1,1,1,1],[1,1,3,3,1,3,1,1,1,1],[1,1,3,3,1,3,1,1,1,1],[1,1,1,1],[1,1,
1,1],[1,1,1,1],[1,1,1,1,3,3,3,3,1,1,3,3,3,3,3,3,3,3,3,3,3,1,1,1,3,3,3,3,1],[1,
5,5,5,5,5,5,5,5,5,5,5,5,5,1],[1,5,5,5,5,5,5,5,5,5,5,5,5,5,1],[1,1,1,1,3,3,3,3,
1,1,3,3,3,3,3,3,3,3,3,6,1,1,1,3,3,3,3,1],[1,1,1,1,3,3,3,3,1,1,3,3,3,3,3,3,3,3,
3,6,1,1,1,3,3,3,3,1],[1,1,1,1,3,3,3,3,1,1,3,3,3,3,3,3,3,3,3,6,1,1,1,3,3,3,3,
1],[1,1,1,1,3,3,3,3,1,1,3,3,3,3,3,3,3,3,3,6,1,1,1,3,3,3,3,1],[1,1,1,1,3,3,3,3,
1,1,3,3,3,3,3,3,3,3,3,6,1,1,1,3,3,3,3,1],[1,1,1,1,3,3,3,3,1,1,3,3,3,3,3,3,3,3,
3,6,1,1,1,3,3,3,3,1],[1,3,6,3,3,2,1,1,1,3,3,3,3,6,6,6,3,3,3,6,1],[1,3,6,3,3,2,
1,1,1,3,3,3,3,6,6,6,3,3,3,6,1],[1,1,2,5,5,2,2,1,1,1,5,1,2,2,2,6,2,2,4,4,2,1,1,
1,2,2,2,2,2,1],[1,1,2,5,5,2,2,1,1,1,5,1,2,2,2,6,2,2,4,4,2,1,1,1,2,2,2,2,2,1],[
1,1,1,1,6,6,2,2,1,1,1,6,1,1,6,6,2,2,4,2,2,1,1,1,2,2,2,2,1],[1,1,1,1,6,6,2,2,1,
1,1,6,1,1,6,6,2,2,4,2,2,1,1,1,2,2,2,2,1],[1,1,6,1,1,6,2,2,1,1,1,1,1,6,2,6,6,2,
4,2,2,1,1,1,2,2,2,2,1],[1,1,6,1,1,6,2,2,1,1,1,1,1,6,2,6,6,2,4,2,2,1,1,1,2,2,2,
2,1],[1,1,2,5,2,5,2,1,1,1,1,2,5,6,2,2,2,2,4,4,2,1,1,1,2,2,2,2,2,1],[1,1,2,5,2,
5,2,1,1,1,1,2,5,6,2,2,2,2,4,4,2,1,1,1,2,2,2,2,2,1],[1,1,5,5,2,2,2,1,1,1,2,1,5,
2,2,6,2,2,4,4,2,1,1,1,2,2,2,2,2,1],[1,1,5,5,2,2,2,1,1,1,2,1,5,2,2,6,2,2,4,4,2,
1,1,1,2,2,2,2,2,1],[1,1,6,1,6,1,2,2,1,1,1,1,6,1,2,2,6,6,4,2,2,1,1,1,2,2,2,2,
1],[1,1,6,1,6,1,2,2,1,1,1,1,6,1,2,2,6,6,4,2,2,1,1,1,2,2,2,2,1],[1,1,4,3,3,4,1,
1,1,1,3,1,4,2,2,2,3,1,2,1,4,2,4,1,1,1,2,1,1,2,1,1,2,2,1],[1,1,4,3,3,4,1,1,1,1,
3,1,4,2,2,2,3,1,2,1,4,2,4,1,1,1,2,1,1,2,1,1,2,2,1],[1,3,2,3,7,3,2,1,2,2,1,5,5,
2,1,1,2,4,4,2,2,1,1,1,2,2,2,2,1],[1,3,2,3,7,3,1,2,2,2,1,5,5,2,1,1,2,4,4,2,2,1,
1,1,2,2,2,2,1],[1,1,5,5,2,2,1,1,2,3,5,2,2,1,3,2,2,1,4,2,4,1,1,1,2,1,2,1,1,1,2,
2,1],[1,1,5,5,2,2,1,1,2,3,5,2,2,1,3,2,2,1,4,2,4,1,1,1,2,1,2,1,1,1,2,2,1],[1,5,
4,5,1,1,1,2,1,2,1,3,3,1,4,4,8,2,2,1,1,2,2,1,2,2,2,2,1],[1,5,4,5,1,1,1,2,1,2,1,
3,3,1,4,4,8,2,2,1,1,2,2,1,2,2,2,2,1],[1,1,4,3,4,3,1,1,1,1,1,4,3,2,1,1,2,2,2,3,
4,4,2,1,1,2,2,1,1,1,1,1,2,2,1],[1,1,4,3,4,3,1,1,1,1,1,4,3,2,1,1,2,2,2,3,4,4,2,
1,1,2,2,1,1,1,1,1,2,2,1],[1,1,4,3,3,4,1,1,1,1,3,1,4,1,1,2,2,3,2,2,2,4,4,1,1,1,
1,2,2,1,1,1,2,2,1],[1,1,4,3,3,4,1,1,1,1,3,1,4,1,1,2,2,3,2,2,2,4,4,1,1,1,1,2,2,
1,1,1,2,2,1],[1,1,4,5,5,1,1,2,1,2,4,3,4,3,1,1,2,8,2,2,1,2,2,1,1,2,2,2,1],[1,1,
4,5,5,1,1,2,1,2,4,3,4,3,1,1,2,8,2,2,1,2,2,1,1,2,2,2,1],[1,1,4,3,4,3,1,1,1,1,1,
4,3,2,2,2,1,1,2,3,4,2,4,1,1,1,1,1,1,2,1,2,2,2,1],[1,1,4,3,4,3,1,1,1,1,1,4,3,2,
2,2,1,1,2,3,4,2,4,1,1,1,1,1,1,2,1,2,2,2,1],[1,3,2,7,3,3,2,1,2,5,2,1,1,1,2,5,4,
4,2,2,1,1,2,1,2,2,2,2,1],[1,3,2,7,3,3,2,2,1,5,2,1,1,1,2,5,4,4,2,2,1,1,2,1,2,2,
2,2,1],[1,7,2,3,3,3,2,1,2,1,1,2,1,5,5,2,4,2,4,2,1,1,2,1,2,2,2,2,1],[1,7,2,3,3,
3,1,2,2,1,1,2,1,5,5,2,4,2,4,2,1,1,2,1,2,2,2,2,1],[1,1,2,5,5,2,1,1,3,5,2,2,2,1,
3,2,1,2,4,4,2,1,1,2,1,2,1,1,1,1,2,2,1],[1,1,2,5,5,2,1,1,3,5,2,2,2,1,3,2,1,2,4,
4,2,1,1,2,1,2,1,1,1,1,2,2,1],[1,5,4,1,5,1,1,1,2,2,3,1,4,3,4,1,2,2,8,2,2,1,2,1,
1,2,2,2,1],[1,5,4,1,5,1,1,1,2,2,3,1,4,3,4,1,2,2,8,2,2,1,2,1,1,2,2,2,1],[1,1,3,
3,4,4,1,1,1,1,4,1,3,3,1,2,2,1,2,2,2,4,4,1,1,2,1,2,1,1,1,1,2,2,1],[1,1,3,3,4,4,
1,1,1,1,4,1,3,3,1,2,2,1,2,2,2,4,4,1,1,2,1,2,1,1,1,1,2,2,1],[1,1,3,3,4,4,1,1,1,
1,4,1,3,2,3,1,2,2,1,2,4,4,2,1,1,2,1,2,1,1,1,1,2,2,1],[1,1,3,3,4,4,1,1,1,1,4,1,
3,2,3,1,2,2,1,2,4,4,2,1,1,2,1,2,1,1,1,1,2,2,1],[1,1,2,5,2,5,1,1,2,5,3,1,3,2,2,
2,2,1,2,4,4,1,1,1,2,1,1,1,2,1,2,2,1],[1,1,2,5,2,5,1,1,2,5,3,1,3,2,2,2,2,1,2,4,
4,1,1,1,2,1,1,1,2,1,2,2,1],[1,3,6,3,3,1,1,1,1,1,1,4,1,4,1,4,1,1,1,4,4,4,1,1,1,
1,1,1,1,1,1,1,3,1,1,1],[1,3,6,3,3,1,1,1,1,1,1,4,1,4,1,4,1,1,1,4,4,4,1,1,1,1,1,
1,1,1,1,1,3,1,1,1],[1,1,1,1,2,2,1,1,1,2,1,1,4,1,2,2,2,1],[1,1,1,1,2,2,1,1,1,2,
1,1,4,1,2,2,2,1],[1,1,2,1,1,2,1,1,1,1,1,2,4,1,2,2,2,1],[1,1,2,1,1,2,1,1,1,1,1,
2,4,1,2,2,2,1],[1,1,2,1,2,1,1,1,1,1,2,1,4,1,2,2,2,1],[1,1,2,1,2,1,1,1,1,1,2,1,
4,1,2,2,2,1],[1,1,1,1,2,2,1,1,1,2,1,1,2,2,1,1,1,2,2,1],[1,1,1,1,2,2,1,1,1,2,1,
1,2,2,1,1,1,2,2,1],[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,1,1,1,2,2,1],[1,1,2,1,2,
1,1,1,1,1,2,1,2,2,1,1,1,2,2,1],[1,1,2,1,2,1,1,1,1,1,2,1,2,2,1,1,1,2,2,1],[1,1,
3,3,1,3,3,2,2,1,1,1,2,2,1],[1,1,2,1,1,2,1,1,1,1,1,2,2,2,1,1,1,2,2,1],[1,1,2,1,
1,2,1,1,1,1,1,2,2,2,1,1,1,2,2,1],[1,1,2,1,2,1,1,1,1,1,2,1,2,2,1,1,1,2,2,1],[1,
1,2,1,2,1,1,1,1,1,2,1,2,2,1,1,1,2,2,1],[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,1,1,
1,2,2,1],[1,1,3,3,1,3,3,2,2,1,1,1,2,2,1],[1,1,3,3,1,3,3,2,2,1,1,1,2,2,1],[1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,1,1,1,2,2,1],[1,1,2,1,1,2,1,1,1,1,1,2,2,2,1,1,1,
2,2,1],[1,1,2,1,1,2,1,1,1,1,1,2,2,2,1,1,1,2,2,1],[1,1,1,1,2,2,1,1,1,2,1,1,2,2,
1,1,1,2,2,1],[1,1,1,1,2,2,1,1,1,2,1,1,2,2,1,1,1,2,2,1],[1,1,4,3,3,1,2,2,2,2,1,
2,1,2,1,1,1,2,2,1],[1,1,4,3,3,1,2,2,2,2,1,2,1,2,1,1,1,2,2,1],[1,3,4,1,3,1,2,1,
2,2,2,2,1,2,1,1,1,2,2,1],[1,3,4,1,3,1,2,1,2,2,2,2,1,2,1,1,1,2,2,1],[1,1,2,3,5,
2,1,1,2,1,2,2,2,2,1,1,1,2,2,1],[1,1,2,3,5,2,1,1,2,1,2,2,2,2,1,1,1,2,2,1],[1,5,
2,1,3,1,2,1,1,2,2,2,2,2,1,1,1,2,2,1],[1,5,2,1,3,1,2,1,1,2,2,2,2,2,1,1,1,2,2,
1],[1,1,3,7,2,1,2,2,2,2,1,1,2,1,1,1,2,2,1],[1,1,3,7,2,1,2,2,2,1,2,1,2,1,1,1,2,
2,1],[1,3,2,1,5,2,1,1,2,2,1,2,2,2,1,1,1,2,2,1],[1,3,2,1,5,2,1,1,2,2,1,2,2,2,1,
1,1,2,2,1],[1,3,2,5,1,2,1,1,2,1,2,2,2,2,1,1,1,2,2,1],[1,3,2,5,1,2,1,1,2,1,2,2,
2,2,1,1,1,2,2,1],[1,7,3,1,2,1,1,1,2,2,2,2,2,1,1,1,2,2,1],[1,7,3,1,2,1,1,2,1,2,
2,2,2,1,1,1,2,2,1],[1,3,7,1,2,1,2,1,1,2,2,2,2,1,1,1,2,2,1],[1,3,7,1,2,1,1,2,1,
2,2,2,2,1,1,1,2,2,1],[1,1,6,1,3,1,1,2,1,2,2,2,2,2,1,1,1,2,2,1],[1,1,6,1,3,1,1,
1,2,2,2,2,2,2,1,1,1,2,2,1],[1,1,2,1,7,1,2,1,1,2,2,2,2,2,1,1,1,2,2,1],[1,1,2,1,
7,2,1,1,1,2,2,2,2,2,1,1,1,2,2,1],[1,1,6,3,1,1,1,2,2,1,2,2,2,2,1,1,1,2,2,1],[1,
1,6,3,1,1,1,2,1,2,2,2,2,2,1,1,1,2,2,1],[1,1,2,7,1,2,1,1,2,1,2,2,2,2,1,1,1,2,2,
1],[1,1,2,7,1,1,2,1,2,1,2,2,2,2,1,1,1,2,2,1],[1,3,4,3,1,1,1,2,2,2,1,2,2,2,1,1,
1,2,2,1],[1,3,4,3,1,1,1,2,2,2,1,2,2,2,1,1,1,2,2,1],[1,3,5,3,2,1,2,1,2,2,1,2,2,
1,1,1,2,2,1],[1,3,5,3,2,1,2,1,2,2,1,2,2,1,1,1,2,2,1],[1,3,1,7,2,1,2,1,2,2,2,1,
2,1,1,1,2,2,1],[1,3,1,7,2,1,1,2,2,2,2,1,2,1,1,1,2,2,1],[1,1,7,3,2,1,2,2,2,1,2,
1,2,1,1,1,2,2,1],[1,1,7,3,2,1,2,2,2,1,1,2,2,1,1,1,2,2,1],[1,5,2,3,1,1,2,1,1,2,
2,2,2,2,1,1,1,2,2,1],[1,5,2,3,1,1,2,1,1,2,2,2,2,2,1,1,1,2,2,1],[1,7,2,1,1,1,2,
1,1,2,2,2,2,2,1,1,1,2,2,1],[1,7,2,1,1,2,1,1,1,2,2,2,2,2,1,1,1,2,2,1],[1,5,3,3,
2,1,2,2,1,2,2,1,2,1,1,1,2,2,1],[1,5,3,3,2,1,2,2,1,2,2,1,2,1,1,1,2,2,1],[1,3,6,
1,1,1,1,2,2,2,1,2,2,2,1,1,1,2,2,1],[1,3,6,1,1,1,1,2,2,1,2,2,2,2,1,1,1,2,2,1],[
1,1,2,5,3,1,2,1,2,1,2,2,2,2,1,1,1,2,2,1],[1,1,2,5,3,1,2,1,2,1,2,2,2,2,1,1,1,2,
2,1],[1,7,1,3,2,1,1,2,2,2,1,2,2,1,1,1,2,2,1],[1,7,1,3,2,1,1,2,2,2,2,1,2,1,1,1,
2,2,1],[1,3,3,5,2,1,1,2,2,1,2,2,2,1,1,1,2,2,1],[1,3,3,5,2,1,1,2,2,1,2,2,2,1,1,
1,2,2,1],[1,4,3,4,1,1,1,2,1,1,2,2,2,1,1,1,1,1,1,1,1,1,1],[1,4,3,4,1,1,1,2,1,1,
2,2,2,1,1,1,1,1,1,1,1,1,1],[1,1,1,4,4,1,4,1,1,1,1,1,2,2,1,1,1,1,1,1,1,1,1,1],[
1,1,3,2,2,3,1,2,3,3,1,1,2,1,1,1,1,1,1,1,1,1,1],[1,1,3,2,2,3,1,2,3,3,1,1,2,1,1,
1,1,1,1,1,1,1,1],[1,1,5,5,1,1,5,3,3,1,1,1,1,1,1,1,1,1,1],[1,1,2,2,3,3,1,3,2,3,
1,1,2,1,1,1,1,1,1,1,1,1,1],[1,1,2,2,3,3,1,3,2,3,1,1,2,1,1,1,1,1,1,1,1,1,1],[1,
1,3,2,3,2,1,3,2,1,1,3,2,1,1,1,1,1,1,1,1,1,1],[1,1,3,2,3,2,1,3,2,1,1,3,2,1,1,1,
1,1,1,1,1,1,1],[1,1,1,4,1,4,1,4,1,1,1,1,2,2,1,1,1,1,1,1,1,1,1,1],[1,1,5,5,1,1,
5,3,3,1,1,1,1,1,1,1,1,1,1],[1,2,5,2,2,1,1,1,1,2,2,1,2,2,1,1,1,1,1,1,1,1,1,1],[
1,2,5,2,2,1,1,1,1,2,2,1,2,2,1,1,1,1,1,1,1,1,1,1],[1,6,1,2,2,1,1,1,1,2,2,1,2,2,
1,1,1,1,1,1,1,1,1,1],[1,6,1,2,2,1,1,1,1,2,2,1,2,2,1,1,1,1,1,1,1,1,1,1],[1,1,5,
5,1,1,5,3,3,2,1,1,1,1,1,1,1,1],[1,1,3,3,2,2,1,2,3,1,3,1,2,2,1,1,1,1,1,1,1,1],[
1,1,3,3,2,2,1,2,3,1,3,1,2,2,1,1,1,1,1,1,1,1],[1,1,5,5,1,1,5,3,3,1,1,1,1,1,1,1,
1,1,1],[1,4,3,4,1,1,1,2,2,1,1,2,2,1,1,1,1,1,1,1,1,1,1],[1,4,3,4,1,1,1,2,2,1,1,
2,2,1,1,1,1,1,1,1,1,1,1],[1,1,2,3,3,2,1,3,2,1,3,1,2,2,1,1,1,1,1,1,1,1],[1,1,2,
3,3,2,1,3,2,1,3,1,2,2,1,1,1,1,1,1,1,1],[1,1,4,1,4,1,4,1,1,1,1,1,2,2,2,1,1,1,1,
1,1,1,1],[1,1,4,4,1,1,1,4,1,1,1,1,2,2,1,1,1,1,1,1,1,1,1,1],[1,3,4,4,1,1,2,2,1,
1,1,2,2,1,1,1,1,1,1,1,1,1,1],[1,3,4,4,1,1,2,2,1,1,1,2,2,1,1,1,1,1,1,1,1,1,1],[
1,2,1,6,2,1,1,1,2,1,1,2,2,2,1,1,1,1,1,1,1,1,1,1],[1,2,1,6,2,1,1,1,2,1,1,2,2,2,
1,1,1,1,1,1,1,1,1,1],[1,2,1,2,6,1,1,1,1,2,2,1,2,2,1,1,1,1,1,1,1,1,1,1],[1,2,1,
2,6,1,1,1,1,2,2,1,2,2,1,1,1,1,1,1,1,1,1,1],[1,3,4,4,1,1,1,1,1,2,2,2,2,1,1,1,1,
1,1,1,1,1,1],[1,3,4,4,1,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1,1,1],[1,1,5,5,1,1,5,3,
3,2,1,1,1,1,1,1,1,1],[1,1,1,4,1,4,1,4,1,1,1,1,2,2,1,1,1,1,1,1,1,1,1,1],[1,1,5,
5,1,1,5,3,3,1,1,1,1,1,1,1,1,1,1],[1,1,5,5,1,1,5,3,3,1,1,1,1,1,1,1,1,1,1],[1,1,
2,2,3,3,1,3,2,3,1,1,2,1,1,1,1,1,1,1,1,1,1],[1,1,2,2,3,3,1,3,2,3,1,1,2,1,1,1,1,
1,1,1,1,1,1],[1,4,3,4,1,1,2,1,1,1,2,2,2,1,1,1,1,1,1,1,1,1,1],[1,4,3,4,1,1,2,1,
1,1,2,2,2,1,1,1,1,1,1,1,1,1,1],[1,1,1,1,4,4,4,1,1,1,1,1,2,2,2,1,1,1,1,1,1,1,
1],[1,4,3,4,1,1,2,1,2,1,1,2,2,1,1,1,1,1,1,1,1,1,1],[1,4,3,4,1,1,2,1,2,1,1,2,2,
1,1,1,1,1,1,1,1,1,1],[1,1,2,3,2,3,1,2,3,1,3,1,2,2,1,1,1,1,1,1,1,1],[1,1,2,3,2,
3,1,2,3,1,3,1,2,2,1,1,1,1,1,1,1,1],[1,2,5,2,2,1,2,2,1,1,1,1,2,2,1,1,1,1,1,1,1,
1,1,1],[1,2,5,2,2,1,2,2,1,1,1,1,2,2,1,1,1,1,1,1,1,1,1,1],[1,1,3,2,3,2,1,3,2,1,
1,3,2,1,1,1,1,1,1,1,1,1,1],[1,1,3,2,3,2,1,3,2,1,1,3,2,1,1,1,1,1,1,1,1,1,1],[1,
1,3,2,2,3,1,2,3,1,1,3,2,1,1,1,1,1,1,1,1,1,1],[1,1,3,2,2,3,1,2,3,1,1,3,2,1,1,1,
1,1,1,1,1,1,1],[1,2,5,2,2,1,2,1,1,1,2,1,2,2,1,1,1,1,1,1,1,1,1,1],[1,2,5,2,2,1,
2,1,1,1,2,1,2,2,1,1,1,1,1,1,1,1,1,1],[1,1,4,1,1,4,1,4,1,1,1,1,2,2,2,1,1,1,1,1,
1,1,1],[1,1,4,4,1,1,1,4,1,1,1,1,2,2,1,1,1,1,1,1,1,1,1,1],[1,1,5,5,1,1,5,3,3,1,
1,1,1,1,1,1,1,1,1],[1,1,5,5,1,1,5,3,3,2,1,1,1,1,1,1,1,1],[1,1,1,4,4,1,4,1,1,1,
1,1,2,2,1,1,1,1,1,1,1,1,1,1],[1,3,3,1,1,1,1,2,2,2,2,1,1,1,1],[1,3,3,1,1,1,1,2,
2,2,2,1,1,1,1],[1,3,3,1,1,1,1,2,2,2,2,1,1,1,1],[1,3,3,1,1,1,1,2,2,2,2,1,1,1,
1],[1,3,3,1,1,1,1,2,2,2,2,1,1,1,1],[1,3,3,1,1,1,1,2,2,2,2,1,1,1,1],[1,3,3,1,1,
1,1,2,2,2,2,1,1,1,1],[1,3,3,1,1,1,1,2,2,2,2,1,1,1,1],[1,3,2,1,1,1,1,1,2,2,2,2,
1,1,1,1],[1,3,2,1,1,1,1,1,2,2,2,2,1,1,1,1],[1,3,2,1,1,1,1,1,2,2,2,2,1,1,1,1],[
1,3,2,1,1,1,1,1,2,2,2,2,1,1,1,1],[1,3,2,1,1,1,1,1,2,2,2,2,1,1,1,1],[1,3,2,1,1,
1,1,1,2,2,2,2,1,1,1,1],[1,3,2,1,1,1,1,1,2,2,2,2,1,1,1,1],[1,3,2,1,1,1,1,1,2,2,
2,2,1,1,1,1],[1,1,2,1,3,1,1,1,2,2,2,2,1,1,1,1],[1,1,2,1,3,1,1,1,2,2,2,2,1,1,1,
1],[1,1,2,1,3,1,1,1,2,2,2,2,1,1,1,1],[1,1,2,1,3,1,1,1,2,2,2,2,1,1,1,1],[1,1,2,
1,3,1,1,1,2,2,2,2,1,1,1,1],[1,1,2,1,3,1,1,1,2,2,2,2,1,1,1,1],[1,1,2,1,3,1,1,1,
2,2,2,2,1,1,1,1],[1,1,2,1,3,1,1,1,2,2,2,2,1,1,1,1],[1,1,3,3,1,2,2,1,1,2,2,1,1,
1,1],[1,1,3,3,1,2,2,1,1,2,2,1,1,1,1],[1,1,3,3,1,2,2,1,1,2,2,1,1,1,1],[1,1,3,3,
1,2,2,1,1,2,2,1,1,1,1],[1,1,3,3,1,2,2,1,1,2,2,1,1,1,1],[1,1,3,3,1,2,2,1,1,2,2,
1,1,1,1],[1,1,3,3,1,2,2,1,1,2,2,1,1,1,1],[1,1,3,3,1,2,2,1,1,2,2,1,1,1,1],[1,1,
2,3,1,1,1,1,2,2,2,2,1,1,1,1],[1,1,2,3,1,1,1,1,2,2,2,2,1,1,1,1],[1,1,2,3,1,1,1,
1,2,2,2,2,1,1,1,1],[1,1,2,3,1,1,1,1,2,2,2,2,1,1,1,1],[1,1,2,3,1,1,1,1,2,2,2,2,
1,1,1,1],[1,1,2,3,1,1,1,1,2,2,2,2,1,1,1,1],[1,1,2,3,1,1,1,1,2,2,2,2,1,1,1,1],[
1,1,2,3,1,1,1,1,2,2,2,2,1,1,1,1],[1,3,1,3,1,1,2,2,1,2,2,1,1,1,1],[1,3,1,3,1,1,
2,2,1,2,2,1,1,1,1],[1,3,1,3,1,1,2,2,1,2,2,1,1,1,1],[1,3,1,3,1,1,2,2,1,2,2,1,1,
1,1],[1,3,1,3,1,1,2,2,1,2,2,1,1,1,1],[1,3,1,3,1,1,2,2,1,2,2,1,1,1,1],[1,3,1,3,
1,1,2,2,1,2,2,1,1,1,1],[1,3,1,3,1,1,2,2,1,2,2,1,1,1,1],[1,9,4,12,1,1],[1,9,4,
12,1,1],[1,9,4,12,1,1],[1,9,4,12,1,1],[1,1,4,4,1,1],[1,1,4,4,1,1],[1,1,4,4,1,
1],[1,1,5,5,5,1,1,1,1,1],[1,1,5,5,5,1,1,1,1,1],[1,1,5,5,5,1,1,1,1,1],[1,1,5,5,
5,1,1,1,1,1],[1,1,5,5,5,1,1,1,1,1],[1,1,5,5,5,1,1,1,1,1],[1,1,1,1,1,1,1,1,1,
1],[1,7,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,
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],[1,6,3,4,1,3,3,4,3,1,1],[1,6,3,4,1,3,3,4,3,1,1],[1,6,3,4,1,3,3,4,3,1,1],[1,
6,3,4,1,3,3,4,3,1,1],[1,9,4,1,3,3,4,3,1,1],[1,9,4,3,1,3,4,3,1,1],[1,9,4,1,3,3,
4,3,1,1],[1,9,4,3,1,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,
1],[1,9,4,1,3,3,4,3,1,1],[1,9,4,3,1,3,4,3,1,1],[1,6,3,4,1,3,3,4,3,1,1],[1,6,3,
4,1,3,3,4,3,1,1],[1,6,3,4,1,3,3,4,3,1,1],[1,6,3,4,1,3,3,4,3,1,1],[1,6,3,4,1,3,
3,4,3,1,1],[1,6,3,4,1,3,3,4,3,1,1],[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],[1,1,3,3,4,1,3,3,4,1,1,1],[1,1,3,3,4,1,3,3,
4,1,1,1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,1,3,3,4,1,3,3,
4,1,1,1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,1,3,3,4,1,3,3,
4,1,1,1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,1,3,3,4,1,3,3,
4,1,1,1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,1,3,3,4,1,3,3,
4,1,1,1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,1,3,3,4,1,3,3,
4,1,1,1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,1,1,1,3,3,3,3,1,1,3,3,3,3,3,3,1,1,1,1,1,
1,1,3,1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1,1,1,1],[1,1,10,5,5,10,5,5,5,5,5,5,5,10,
5,5,10,15,5,15,10,5,10,10,20,5,5,5,5,5,5,5,5,10,5,5,5,5,10,5,5,10,5,10,10,10,
10,10,1,5,5,5,5,5,5,1],[1,1,10,5,5,10,5,5,5,5,5,5,5,10,5,5,10,15,5,15,10,5,10,
10,20,5,5,5,5,5,5,5,5,10,5,5,5,5,10,5,5,10,5,10,10,10,10,10,1,5,5,5,5,5,5,1],[
1,1,10,5,10,5,5,5,5,5,5,5,10,5,10,5,5,5,5,10,15,15,20,10,10,5,5,5,5,5,10,5,5,
5,5,10,5,5,5,5,5,5,10,10,10,10,10,10,1,5,5,5,5,5,5,1],[1,1,10,5,10,5,5,5,5,5,
5,5,10,5,10,5,5,5,5,10,15,15,20,10,10,5,5,5,5,5,10,5,5,5,5,10,5,5,5,5,5,5,10,
10,10,10,10,10,1,5,5,5,5,5,5,1],[1,1,5,5,10,10,5,5,5,5,5,10,5,5,15,5,15,5,10,
5,5,10,10,20,10,5,5,5,5,5,10,5,10,5,5,10,5,10,5,5,5,5,5,5,10,10,10,10,1,5,5,5,
5,5,5,1],[1,1,5,5,10,10,5,5,5,5,5,10,5,5,15,5,15,5,10,5,5,10,10,20,10,5,5,5,5,
5,10,5,10,5,5,10,5,10,5,5,5,5,5,5,10,10,10,10,1,5,5,5,5,5,5,1],[1,1,6,9,9,6,2,
1,4,1,6,3,3,3,9,3,6,9,9,6,12,3,9,3,6,9,18,18,12,2,1,1,4,3,3,3,3,3,9,6,3,3,3,9,
3,6,6,3,6,6,6,3,6,6,6,6,12,12,6,6,1,3,3,3,3,3,3,6,6,1],[1,1,6,9,9,6,2,1,4,1,6,
3,3,3,9,3,6,9,9,6,12,3,9,3,6,9,18,18,12,2,1,1,4,3,3,3,3,3,9,6,3,3,3,9,3,6,6,3,
6,6,6,3,6,6,6,6,12,12,6,6,1,3,3,3,3,3,3,6,6,1],[1,1,9,9,6,6,2,1,1,4,3,3,3,6,6,
3,9,3,9,3,9,6,12,9,9,6,18,12,18,2,1,1,4,3,3,3,6,3,9,6,6,6,9,6,3,3,6,6,3,3,6,3,
3,3,6,6,6,12,12,6,1,3,6,3,3,3,3,3,6,1],[1,1,9,9,6,6,2,1,1,4,3,3,3,6,6,3,9,3,9,
3,9,6,12,9,9,6,18,12,18,2,1,1,4,3,3,3,6,3,9,6,6,6,9,6,3,3,6,6,3,3,6,3,3,3,6,6,
6,12,12,6,1,3,6,3,3,3,3,3,6,1],[1,1,6,9,6,9,2,4,1,1,3,3,3,3,6,9,6,6,12,9,9,9,
9,6,3,3,12,18,18,2,1,1,4,3,3,3,6,9,6,6,3,3,3,6,6,3,6,3,3,9,3,3,6,6,12,6,6,12,
6,6,1,3,3,3,3,3,3,6,6,1],[1,1,6,9,6,9,2,4,1,1,3,3,3,3,6,9,6,6,12,9,9,9,9,6,3,
3,12,18,18,2,1,1,4,3,3,3,6,9,6,6,3,3,3,6,6,3,6,3,3,9,3,3,6,6,12,6,6,12,6,6,1,
3,3,3,3,3,3,6,6,1],[1,1,1,1,7,7,7,7,1,1,2,2,2,3,3,3,7,3,7,7,7,3,7,7,6,6,6,6,6,
6,6,6,6,12,12,12,1,1,1,2,2,2,2,2,2,2,2,2,3,1,1,3,1,7,3,1,6,2,2,6,6,6,6,2,2,2,
6,6,2,2,6,2,2,2,2,2,6,2,2,2,2,2,2,4,4,4,4,4,4,1,2,2,2,1,1,1,1,1,1,2,2,2,2,2,2,
2,2,2,1],[1,1,1,1,7,7,7,7,1,1,2,2,2,3,3,3,7,3,7,7,7,3,7,7,6,6,6,6,6,6,6,6,6,
12,12,12,1,1,1,2,2,2,2,2,2,2,2,2,3,1,1,3,1,7,3,1,6,2,2,6,6,6,6,2,2,2,6,6,2,2,
6,2,2,2,2,2,6,2,2,2,2,2,2,4,4,4,4,4,4,1,2,2,2,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,
1],[1,1,6,5,5,6,2,2,2,1,1,1,5,1,6,2,2,2,6,6,2,6,2,2,4,4,4,4,2,2,2,1,1,1,1,1,2,
2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,1,6,5,5,6,2,2,2,1,1,1,5,1,
6,2,2,2,6,6,2,6,2,2,4,4,4,4,2,2,2,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,1,
1,1,2,2,2,2,4,1],[1,1,2,9,2,9,2,2,1,1,1,1,2,9,6,6,2,2,2,2,2,2,2,2,4,4,4,4,4,2,
2,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,1,10,1,1,
10,2,2,2,2,1,1,1,1,1,10,2,2,6,6,6,6,2,2,4,4,4,2,2,2,2,1,1,1,1,1,2,2,2,2,2,2,2,
2,2,2,2,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,1,9,9,2,2,2,2,1,1,1,2,1,9,2,2,2,2,6,6,2,
2,2,2,4,4,4,4,4,2,2,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,2,2,
4,1],[1,1,6,5,6,5,2,2,2,1,1,1,1,6,5,2,6,2,2,2,2,2,6,6,4,4,4,4,2,2,2,1,1,1,1,1,
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],[1,1,6,5,6,5,2,2,2,1,1,1,1,
6,5,2,6,2,2,2,2,2,6,6,4,4,4,4,2,2,2,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,
1,1,1,2,2,2,2,4,1],[1,1,1,1,10,10,2,2,2,2,1,1,1,10,1,1,6,6,6,6,2,2,2,2,4,4,4,
2,2,2,2,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,1,2,9,9,
2,2,2,1,1,1,9,1,2,2,2,2,2,6,6,2,2,2,2,4,4,4,4,4,2,2,1,1,1,1,1,2,2,2,2,2,2,2,2,
2,2,2,2,2,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,1,10,1,10,1,2,2,2,2,1,1,1,1,10,1,2,2,
2,2,6,6,6,6,4,4,4,2,2,2,2,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,2,
2,4,1],[1,1,5,5,6,6,2,2,2,1,1,1,6,1,5,6,2,6,2,2,6,2,2,2,4,4,4,4,2,2,2,1,1,1,1,
1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,1,5,5,6,6,2,2,2,1,1,1,
6,1,5,6,2,6,2,2,6,2,2,2,4,4,4,4,2,2,2,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,
4,1,1,1,2,2,2,2,4,1],[1,1,4,7,4,7,2,1,1,1,1,1,4,7,2,6,2,2,2,2,2,1,1,2,2,3,4,2,
4,4,4,2,2,1,2,1,1,1,2,1,2,1,1,1,2,2,1,2,2,2,2,2,1,1,2,2,2,2,2,2,2,2,2,2,1,1,1,
1,1,1,1,2,2,2,2,1],[1,1,4,7,4,7,2,1,1,1,1,1,4,7,2,6,2,2,2,2,1,2,2,1,2,3,4,4,2,
4,4,2,2,1,2,1,1,1,1,2,2,1,1,1,2,2,1,2,2,2,2,2,1,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,
1,1,1,2,2,2,2,1],[1,1,3,3,8,8,2,2,1,1,1,1,8,1,3,6,2,3,6,1,2,2,2,1,2,2,4,4,4,2,
2,2,1,2,2,1,1,1,2,2,2,1,2,2,2,1,1,1,1,2,2,1,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,
1,2,2,2,2,1],[1,1,3,3,8,8,2,1,2,1,1,1,8,1,3,6,2,6,3,1,2,2,2,1,2,2,4,4,4,2,2,2,
2,1,2,1,1,1,2,2,2,1,2,2,2,1,1,1,1,2,2,1,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,
2,2,2,1],[1,1,8,3,8,3,2,1,2,1,1,1,1,8,3,2,2,2,2,1,1,2,2,6,6,3,4,4,2,4,2,2,2,1,
2,1,1,1,2,1,1,1,1,2,2,1,2,2,2,2,2,1,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,
2,1],[1,1,8,3,8,3,2,2,1,1,1,1,1,8,3,2,2,2,2,1,1,2,2,6,3,6,4,4,2,4,2,2,1,2,2,1,
1,1,2,1,1,1,1,2,2,1,2,2,2,2,2,1,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,
1],[1,1,4,7,7,4,2,1,1,1,1,7,1,4,2,2,2,2,2,6,3,1,2,2,2,1,4,4,2,4,4,2,2,1,2,1,1,
1,2,1,2,1,1,2,2,1,2,2,2,1,2,2,1,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,
1],[1,1,4,7,7,4,2,1,1,1,1,7,1,4,2,2,2,2,2,6,3,2,1,2,1,2,4,4,4,2,4,2,2,1,2,1,1,
1,1,2,2,1,1,2,2,1,2,2,2,1,2,2,1,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,
1],[1,1,8,3,3,8,2,1,2,1,1,1,3,1,8,2,2,2,2,6,3,1,6,2,2,1,4,2,4,4,2,2,2,1,2,1,1,
1,1,2,2,1,1,2,2,1,2,1,2,2,2,1,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[
1,1,8,3,3,8,2,2,1,1,1,1,3,1,8,2,2,2,2,3,6,1,6,2,2,1,4,2,4,4,2,2,2,2,1,1,1,1,1,
2,2,1,1,2,2,1,2,1,2,2,2,1,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,
4,7,4,7,2,1,1,1,1,1,4,7,2,6,1,2,2,1,2,2,2,2,2,3,4,4,4,2,4,2,2,1,2,1,1,1,2,2,2,
2,1,2,1,1,2,1,1,2,2,2,1,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,4,
7,4,7,2,1,1,1,1,1,4,7,2,6,2,1,1,2,2,2,2,2,2,3,4,4,4,4,2,2,2,1,2,1,1,1,2,2,2,2,
1,2,1,2,1,1,1,2,2,2,1,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,8,3,
3,8,1,2,2,1,1,1,3,1,8,1,1,2,2,6,2,3,6,2,2,2,2,4,4,4,2,2,1,2,2,1,1,1,1,1,2,2,2,
1,1,2,1,2,2,2,2,1,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,8,3,3,8,
2,1,2,1,1,1,3,1,8,1,1,2,2,6,2,6,3,2,2,2,2,4,4,4,2,2,2,1,2,1,1,1,1,1,2,2,2,1,1,
2,1,2,2,2,2,1,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,4,7,7,4,1,2,
1,1,1,7,1,4,1,2,2,1,2,6,2,2,3,2,2,2,4,2,4,4,4,2,2,1,2,1,1,1,1,1,2,2,2,1,2,1,2,
1,2,2,2,2,1,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,4,7,7,4,1,2,1,
1,1,7,1,4,2,1,1,2,2,6,2,2,3,2,2,2,2,4,4,4,4,2,2,1,2,1,1,1,1,1,2,2,2,1,1,2,2,1,
2,2,2,2,1,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,3,3,8,8,2,1,2,1,
1,1,8,1,3,3,6,1,6,2,2,2,1,2,2,2,2,4,4,4,2,2,2,1,2,1,1,1,2,2,1,2,2,1,2,1,2,1,1,
2,2,1,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,3,3,8,8,1,2,2,1,1,1,
8,1,3,6,3,1,6,2,2,2,1,2,2,2,2,4,4,4,2,2,2,2,1,1,1,1,2,2,1,2,2,1,2,1,2,1,1,2,2,
1,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,8,3,8,3,1,2,2,1,1,1,1,8,
3,2,2,1,1,2,2,2,2,3,6,6,4,4,4,2,2,2,2,2,1,1,1,1,2,2,2,2,1,1,1,1,1,2,2,2,2,1,1,
2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,8,3,8,3,2,1,2,1,1,1,1,8,3,2,
2,1,1,2,2,2,2,6,3,6,4,4,4,2,2,2,2,1,2,1,1,1,2,2,2,2,1,1,1,1,1,2,2,2,2,1,1,2,2,
2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,7,7,4,4,1,2,1,1,1,4,1,7,2,2,3,2,
1,2,6,2,2,2,1,2,4,4,4,2,4,2,2,1,2,1,1,1,2,1,2,2,2,2,2,2,1,1,1,1,2,2,1,1,2,2,2,
2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,7,7,4,4,1,2,1,1,1,4,1,7,2,2,3,1,2,
2,6,2,2,1,2,2,4,4,4,4,2,2,2,1,2,1,1,1,2,2,1,2,2,2,2,2,1,1,1,1,2,2,1,1,2,2,2,2,
2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,7,7,4,4,1,2,1,1,1,4,1,7,3,2,1,2,2,2,
6,2,1,2,2,2,4,2,4,4,4,2,2,1,2,1,1,1,2,1,2,2,2,2,2,1,1,1,2,1,2,2,1,1,2,2,2,2,2,
2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,7,7,4,4,1,2,1,1,1,4,1,7,3,1,2,2,2,2,6,
1,2,2,2,2,2,4,4,4,4,2,2,1,2,1,1,1,2,1,2,2,2,2,1,2,1,1,2,1,2,2,1,1,2,2,2,2,2,2,
2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,4,7,7,4,1,1,1,3,7,4,2,2,2,2,1,1,3,3,2,2,
1,1,2,2,4,4,4,4,2,2,2,2,1,1,1,2,2,1,1,2,2,1,1,1,1,1,1,1,1,2,2,2,2,1,1,2,2,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,1,1,5,5,5,5,
1,1,1,5,5,5,5,5,5,3,3,3,3,3,3,6,6,2,2,1,1,1,1,1,1,5,3,3,3,3,3,3,1,1,2,2,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,4,7,4,7,1,1,1,
4,7,3,1,1,3,3,2,2,2,2,2,2,2,2,1,1,2,2,4,4,4,4,2,2,1,1,1,1,1,2,2,1,1,1,1,1,1,2,
2,1,1,2,2,2,2,1,1,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1],[1,1,1,1,5,5,5,5,1,1,1,5,5,5,5,5,5,3,3,3,3,3,3,6,6,2,2,1,1,1,1,1,1,5,
3,3,3,3,3,3,1,1,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1],[1,1,7,7,4,4,1,1,1,4,3,7,2,2,2,2,1,1,3,3,2,2,2,2,1,1,4,4,2,2,4,4,2,2,1,
1,1,1,1,2,2,1,1,2,2,1,1,1,1,1,1,2,2,2,2,1,1,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,1,1,5,5,5,5,1,1,1,5,5,5,5,5,5,3,3,3,3,
3,3,6,6,2,2,1,1,1,1,1,1,5,3,3,3,3,3,3,1,1,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,1,1,3,3,3,3,1,1,3,3,3,3,3,3,3,3,3,3,3,4,
4,1,1,1,3,3,3,3,2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,2,2,2,2,1],[1,1,1,1,3,3,3,3,1,1,
3,3,3,3,3,3,3,3,3,3,3,4,4,1,1,1,3,3,3,3,2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,2,2,2,2,
1],[1,1,1,1,3,3,3,3,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,1,1,1,3,3,3,3,2,2,2,2,2,2,4,
4,4,4,1,1,1,2,2,2,2,2,2,1],[1,1,3,3,1,3,3,6,6,1,3,3,6,6,3,1],[1,1,3,3,1,3,3,6,
6,1,3,3,6,6,3,1],[1,1,3,3,1,3,3,6,6,1,3,3,6,6,3,1],[1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,2,2,1,1,1,1],[1,5,9,5,2,5,5,2,5,5,5,5,5,
2,2,2,2,1,5,5,5,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,5,9,5,2,5,2,5,5,5,5,5,2,
5,2,2,2,1,5,5,5,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,5,4,5,5,5,5,2,5,2,5,2,5,
5,5,2,2,2,1,5,5,5,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,5,4,5,5,5,5,2,5,2,5,2,
5,5,5,2,2,2,1,5,5,5,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,5,8,5,1,1,1,2,1,2,1,
2,2,3,2,3,1,4,4,8,2,2,2,2,2,1,1,1,2,2,1,2,2,2,2,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,
1,1],[1,5,8,5,1,1,1,2,1,2,1,2,3,2,3,2,1,4,4,8,2,2,2,2,2,1,1,1,2,2,1,2,2,2,2,1,
1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,8,5,5,1,1,2,1,2,4,3,2,4,3,2,1,2,1,2,8,2,
2,2,2,1,2,1,2,2,1,1,2,2,2,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,8,5,5,1,1,2,
1,2,4,2,3,4,2,3,1,2,1,2,8,2,2,2,2,1,2,1,2,2,1,1,2,2,2,1,1,1,2,2,2,2,2,2,1,1,1,
1,1,1,1,1],[1,7,6,3,3,2,1,1,1,2,3,3,3,3,2,2,6,6,6,2,2,2,1,3,3,3,6,1,1,1,2,2,2,
2,2,2,1,1,1,1,1,1,1,1],[1,7,6,3,3,2,1,1,2,1,3,3,3,3,2,2,6,6,6,2,2,2,1,3,3,3,6,
1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,5,4,5,5,1,2,1,1,2,2,2,3,1,4,3,4,1,2,2,2,
8,2,2,2,1,2,2,1,2,1,1,2,2,2,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,5,4,5,5,1,2,
1,1,2,2,2,3,1,4,3,4,1,2,2,2,8,2,2,2,1,2,2,1,2,1,1,2,2,2,1,1,1,2,2,2,2,2,2,1,1,
1,1,1,1,1,1],[1,5,5,9,2,5,5,5,2,5,2,5,5,5,2,2,2,1,5,5,5,1,1,1,2,2,2,2,2,2,1,1,
1,1,1,1,1,1],[1,5,5,9,2,5,5,2,5,2,5,5,5,5,2,2,2,1,5,5,5,1,1,1,2,2,2,2,2,2,1,1,
1,1,1,1,1,1],[1,5,4,1,9,2,1,1,1,2,2,3,1,2,4,2,3,4,1,2,2,8,2,2,2,1,2,2,1,2,1,1,
2,2,2,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,5,4,1,9,1,2,1,1,2,2,3,2,1,2,4,3,4,
1,2,2,8,2,2,2,1,2,2,1,2,1,1,2,2,2,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,2,3,
11,3,2,2,1,2,2,1,2,5,2,5,2,1,1,2,4,4,2,2,2,2,1,2,1,1,1,2,2,2,2,1,1,1,2,2,2,2,
2,2,1,1,1,1,1,1,1,1],[1,3,2,3,11,2,3,1,2,2,2,1,5,2,5,2,2,1,1,2,4,4,2,2,2,1,2,
2,1,1,1,2,2,2,2,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,9,4,1,5,1,2,1,1,2,2,3,1,
4,3,2,4,2,1,2,2,8,2,2,2,1,2,2,1,2,1,1,2,2,2,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,
1],[1,9,4,1,5,1,1,2,1,2,2,3,1,4,3,4,2,1,2,2,2,8,2,2,2,1,2,2,1,2,1,1,2,2,2,1,1,
1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,5,4,5,5,2,1,1,2,1,2,1,2,3,2,3,1,4,4,8,2,2,2,
2,2,1,1,1,2,2,1,2,2,2,2,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,5,4,5,5,2,1,1,2,
1,2,1,2,3,2,3,1,4,4,8,2,2,2,2,2,1,1,1,2,2,1,2,2,2,2,1,1,1,2,2,2,2,2,2,1,1,1,1,
1,1,1,1],[1,5,8,1,5,1,1,1,2,2,2,3,1,2,4,2,3,4,1,2,2,8,2,2,2,1,2,2,1,2,1,1,2,2,
2,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,5,8,1,5,1,1,1,2,2,3,2,1,2,4,3,2,4,1,2,
2,8,2,2,2,1,2,2,1,2,1,1,2,2,2,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,2,7,7,2,
3,2,2,1,5,2,2,1,2,1,1,2,5,4,4,2,2,2,2,2,1,1,1,2,1,2,2,2,2,1,1,1,2,2,2,2,2,2,1,
1,1,1,1,1,1,1],[1,3,2,7,7,2,3,2,1,2,5,2,2,1,1,2,1,2,5,4,4,2,2,2,2,2,1,1,1,2,1,
2,2,2,2,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,7,2,7,3,3,2,2,2,1,5,2,1,1,1,2,2,
2,5,4,4,2,2,2,2,2,1,1,1,2,1,2,2,2,2,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,7,2,
7,3,3,2,2,1,2,5,2,1,1,2,1,2,2,5,4,4,2,2,2,2,2,1,1,1,2,1,2,2,2,2,1,1,1,2,2,2,2,
2,2,1,1,1,1,1,1,1,1],[1,3,6,7,3,3,2,2,1,5,2,2,1,2,1,2,1,2,5,4,4,2,2,2,2,2,1,1,
1,2,1,2,2,2,2,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,6,7,3,3,2,1,2,5,2,2,2,1,
1,2,1,2,5,4,4,2,2,2,2,2,1,1,1,2,1,2,2,2,2,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[
1,9,4,5,1,1,2,1,2,1,2,1,3,3,2,1,2,4,4,8,2,2,2,2,2,1,1,1,2,2,1,2,2,2,2,1,1,1,2,
2,2,2,2,2,1,1,1,1,1,1,1,1],[1,9,4,5,1,1,1,2,2,1,2,1,3,3,1,2,4,2,4,8,2,2,2,2,2,
1,1,1,2,2,1,2,2,2,2,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,5,4,5,5,1,1,2,2,1,2,
4,3,4,3,1,2,2,1,2,8,2,2,2,2,1,2,1,2,2,1,1,2,2,2,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,
1,1],[1,5,4,5,5,1,1,2,2,1,2,4,3,4,3,1,2,2,1,2,8,2,2,2,2,1,2,1,2,2,1,1,2,2,2,1,
1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,4,5,9,1,2,1,2,1,2,4,3,2,4,3,2,1,1,2,8,2,
2,2,2,1,2,1,2,2,1,1,2,2,2,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,4,5,9,2,1,1,
2,1,2,4,3,4,2,3,1,2,1,2,8,2,2,2,2,1,2,1,2,2,1,1,2,2,2,1,1,1,2,2,2,2,2,2,1,1,1,
1,1,1,1,1],[1,7,2,3,7,2,3,1,2,2,1,1,2,2,2,1,5,5,2,4,2,4,2,2,2,2,1,1,1,2,1,2,2,
2,2,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,7,2,3,7,2,3,2,1,2,1,2,1,2,2,1,5,5,2,
4,2,4,2,2,2,2,1,1,1,2,1,2,2,2,2,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,7,2,3,7,
3,2,2,1,2,2,1,5,5,2,2,1,2,1,2,4,4,2,2,2,1,2,2,1,1,1,2,2,2,2,1,1,1,2,2,2,2,2,2,
1,1,1,1,1,1,1,1],[1,7,2,3,7,3,2,1,2,2,2,1,5,5,2,2,2,1,1,2,4,4,2,2,2,1,2,2,1,1,
1,2,2,2,2,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,6,3,7,2,2,1,1,1,3,3,2,3,2,3,
6,6,6,2,2,2,1,3,3,3,6,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,6,3,7,2,1,2,1,1,
3,3,2,3,2,3,6,6,6,2,2,2,1,3,3,3,6,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,5,4,9,
1,2,1,1,2,1,2,1,2,3,3,1,4,4,2,8,2,2,2,2,2,1,1,1,2,2,1,2,2,2,2,1,1,1,2,2,2,2,2,
2,1,1,1,1,1,1,1,1],[1,5,4,9,1,1,2,1,2,1,2,2,1,3,3,1,4,2,4,8,2,2,2,2,2,1,1,1,2,
2,1,2,2,2,2,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,6,7,3,2,1,1,2,1,3,2,3,3,3,
2,6,6,6,2,2,2,1,3,3,3,6,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,6,7,3,2,1,2,1,
1,3,2,3,3,3,2,6,6,6,2,2,2,1,3,3,3,6,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,11,
2,3,3,3,2,2,1,2,1,1,2,1,5,2,5,2,2,4,2,4,2,2,2,2,1,1,1,2,1,2,2,2,2,1,1,1,2,2,2,
2,2,2,1,1,1,1,1,1,1,1],[1,11,2,3,3,2,3,1,2,2,1,1,2,1,2,5,2,5,2,4,2,4,2,2,2,1,
2,1,1,2,1,2,2,2,2,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,9,5,5,2,5,5,5,5,2,5,2,
5,5,2,2,2,1,5,5,5,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,9,5,5,2,5,5,5,5,5,2,5,
2,5,2,2,2,1,5,5,5,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,7,6,3,3,3,2,1,2,1,2,1,
2,2,1,2,5,5,2,4,2,4,2,2,2,2,1,1,1,2,1,2,2,2,2,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,
1],[1,7,6,3,3,3,1,2,2,1,2,1,2,2,2,1,5,5,2,4,2,4,2,2,2,2,1,1,1,2,1,2,2,2,2,1,1,
1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,2,7,7,3,2,2,1,2,2,2,1,5,5,2,1,2,1,2,4,4,2,
2,2,1,2,2,1,1,1,2,2,2,2,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,2,7,7,3,2,1,2,
2,2,2,1,5,5,2,1,1,2,2,4,4,2,2,2,1,2,2,1,1,1,2,2,2,2,1,1,1,2,2,2,2,2,2,1,1,1,1,
1,1,1,1],[1,3,2,11,3,2,3,2,1,2,5,2,2,1,1,1,2,5,2,4,4,2,2,2,2,1,2,1,1,2,1,2,2,
2,2,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,2,11,3,3,2,2,2,1,2,5,2,1,1,1,2,2,
5,4,4,2,2,2,2,2,1,1,1,2,1,2,2,2,2,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,6,3,
7,3,2,1,2,2,1,2,5,2,5,2,2,1,1,2,4,4,2,2,2,2,1,2,1,1,1,2,2,2,2,1,1,1,2,2,2,2,2,
2,1,1,1,1,1,1,1,1],[1,3,6,3,7,3,1,2,2,2,2,1,5,2,5,2,2,1,1,2,4,4,2,2,2,2,1,2,1,
1,1,2,2,2,2,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,7,2,7,3,2,3,2,1,2,2,1,1,2,1,
5,5,2,2,4,2,4,2,2,2,1,2,1,1,2,1,2,2,2,2,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,
7,2,7,3,2,3,1,2,2,1,2,1,2,1,5,5,2,2,4,2,4,2,2,2,1,2,1,1,2,1,2,2,2,2,1,1,1,2,2,
2,2,2,2,1,1,1,1,1,1,1,1],[1,1,4,9,5,1,1,2,2,1,2,2,4,3,4,3,1,2,1,2,8,2,2,2,2,1,
2,1,2,2,1,1,2,2,2,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,4,9,5,1,2,1,2,1,2,4,
2,3,4,3,1,1,2,2,8,2,2,2,2,1,2,1,2,2,1,1,2,2,2,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,
1],[1,3,10,3,3,2,1,1,1,3,2,3,2,3,2,3,6,6,6,2,2,2,1,3,3,3,6,1,1,1,2,2,2,2,2,2,
1,1,1,1,1,1,1,1],[1,3,10,3,3,2,1,1,1,3,3,2,3,2,3,2,6,6,6,2,2,2,1,3,3,3,6,1,1,
1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,4,3,3,4,1,1,1,1,3,1,4,2,2,2,3,1,2,1,4,2,4,
2,2,4,1,1,1,2,1,1,2,1,1,2,2,2,2,2,1,1,2,2,1,1,1,1,1,1,1,1],[1,1,4,3,3,4,1,1,1,
1,3,1,4,2,2,2,3,1,2,1,4,2,4,2,2,4,1,1,1,2,1,1,2,1,1,2,2,2,2,2,1,1,2,2,1,1,1,1,
1,1,1,1],[1,1,4,3,3,4,1,1,1,1,3,1,4,2,2,2,3,1,2,1,4,2,4,2,2,4,1,1,1,2,1,1,2,1,
1,2,2,2,2,2,1,1,2,2,1,1,1,1,1,1,1,1],[1,1,4,3,3,4,1,1,1,1,3,1,4,2,2,2,3,1,2,1,
4,2,4,2,2,4,1,1,1,2,1,1,2,1,1,2,2,2,2,2,1,1,2,2,1,1,1,1,1,1,1,1],[1,1,4,3,4,3,
1,1,1,1,1,4,3,2,2,2,1,1,2,3,4,2,4,4,2,2,1,1,1,1,1,1,2,1,2,2,2,1,1,2,2,2,2,2,1,
1,1,1,1,1,1,1],[1,1,4,3,4,3,1,1,1,1,1,4,3,2,2,2,1,1,2,3,4,2,4,4,2,2,1,1,1,1,1,
1,2,1,2,2,2,1,1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,4,3,4,3,1,1,1,1,1,4,3,2,2,2,1,
1,2,3,4,2,4,4,2,2,1,1,1,1,1,1,2,1,2,2,2,1,1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,4,
3,4,3,1,1,1,1,1,4,3,2,2,2,1,1,2,3,4,2,4,4,2,2,1,1,1,1,1,1,2,1,2,2,2,1,1,2,2,2,
2,2,1,1,1,1,1,1,1,1],[1,1,5,5,2,2,2,1,1,1,2,1,5,2,2,6,2,2,4,4,2,2,2,2,2,1,1,1,
2,2,2,2,2,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,5,5,2,2,2,1,1,1,2,1,5,2,2,6,2,
2,4,4,2,2,2,2,2,1,1,1,2,2,2,2,2,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,4,3,3,4,
1,1,1,1,3,1,4,1,1,2,2,3,2,2,2,4,4,2,2,4,1,1,1,1,2,2,1,1,1,2,2,2,2,1,1,2,2,2,1,
1,1,1,1,1,1,1],[1,1,4,3,3,4,1,1,1,1,3,1,4,1,1,2,2,3,2,2,2,4,4,2,2,4,1,1,1,1,2,
2,1,1,1,2,2,2,2,1,1,2,2,2,1,1,1,1,1,1,1,1],[1,1,4,3,3,4,1,1,1,1,3,1,4,1,1,2,2,
3,2,2,2,4,4,2,2,4,1,1,1,1,2,2,1,1,1,2,2,2,2,1,1,2,2,2,1,1,1,1,1,1,1,1],[1,1,4,
3,3,4,1,1,1,1,3,1,4,1,1,2,2,3,2,2,2,4,4,2,2,4,1,1,1,1,2,2,1,1,1,2,2,2,2,1,1,2,
2,2,1,1,1,1,1,1,1,1],[1,1,2,5,5,2,2,1,1,1,5,1,2,2,2,6,2,2,4,4,2,2,2,2,2,1,1,1,
2,2,2,2,2,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,5,5,2,2,1,1,1,5,1,2,2,2,6,2,
2,4,4,2,2,2,2,2,1,1,1,2,2,2,2,2,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,3,3,4,4,
1,1,1,1,4,1,3,2,3,1,2,2,1,2,4,4,2,4,2,2,1,1,2,1,2,1,1,1,1,2,2,2,2,1,1,2,2,2,1,
1,1,1,1,1,1,1],[1,1,3,3,4,4,1,1,1,1,4,1,3,2,3,1,2,2,1,2,4,4,2,4,2,2,1,1,2,1,2,
1,1,1,1,2,2,2,2,1,1,2,2,2,1,1,1,1,1,1,1,1],[1,1,3,3,4,4,1,1,1,1,4,1,3,2,3,1,2,
2,1,2,4,4,2,4,2,2,1,1,2,1,2,1,1,1,1,2,2,2,2,1,1,2,2,2,1,1,1,1,1,1,1,1],[1,1,3,
3,4,4,1,1,1,1,4,1,3,2,3,1,2,2,1,2,4,4,2,4,2,2,1,1,2,1,2,1,1,1,1,2,2,2,2,1,1,2,
2,2,1,1,1,1,1,1,1,1],[1,1,2,5,2,5,2,1,1,1,1,2,5,6,2,2,2,2,4,4,2,2,2,2,2,1,1,1,
2,2,2,2,2,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,5,2,5,2,1,1,1,1,2,5,6,2,2,2,
2,4,4,2,2,2,2,2,1,1,1,2,2,2,2,2,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,1,6,1,
2,2,1,1,1,1,6,1,2,2,6,6,4,2,2,2,2,2,2,1,1,1,2,2,2,2,1,1,1,1,2,2,2,2,1,1,1,1,1,
1,1,1],[1,1,6,1,6,1,2,2,1,1,1,1,6,1,2,2,6,6,4,2,2,2,2,2,2,1,1,1,2,2,2,2,1,1,1,
1,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,4,3,4,3,1,1,1,1,1,4,3,2,1,1,2,2,2,3,4,4,2,2,2,
4,1,1,2,2,1,1,1,1,1,2,2,1,1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,4,3,4,3,1,1,1,1,1,
4,3,2,1,1,2,2,2,3,4,4,2,2,2,4,1,1,2,2,1,1,1,1,1,2,2,1,1,2,2,2,2,2,1,1,1,1,1,1,
1,1],[1,1,4,3,4,3,1,1,1,1,1,4,3,2,1,1,2,2,2,3,4,4,2,2,2,4,1,1,2,2,1,1,1,1,1,2,
2,1,1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,4,3,4,3,1,1,1,1,1,4,3,2,1,1,2,2,2,3,4,4,
2,2,2,4,1,1,2,2,1,1,1,1,1,2,2,1,1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,3,3,4,4,1,1,
1,1,4,1,3,3,1,2,2,1,2,2,2,4,4,4,2,2,1,1,2,1,2,1,1,1,1,2,2,1,1,2,2,2,2,2,1,1,1,
1,1,1,1,1],[1,1,3,3,4,4,1,1,1,1,4,1,3,3,1,2,2,1,2,2,2,4,4,4,2,2,1,1,2,1,2,1,1,
1,1,2,2,1,1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,3,3,4,4,1,1,1,1,4,1,3,3,1,2,2,1,2,
2,2,4,4,4,2,2,1,1,2,1,2,1,1,1,1,2,2,1,1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,3,3,4,
4,1,1,1,1,4,1,3,3,1,2,2,1,2,2,2,4,4,4,2,2,1,1,2,1,2,1,1,1,1,2,2,1,1,2,2,2,2,2,
1,1,1,1,1,1,1,1],[1,1,1,1,6,6,2,2,1,1,1,6,1,1,6,6,2,2,4,2,2,2,2,2,2,1,1,1,2,2,
2,2,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,1,1,6,6,2,2,1,1,1,6,1,1,6,6,2,2,4,2,
2,2,2,2,2,1,1,1,2,2,2,2,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,1,1,6,2,2,1,1,
1,1,1,6,2,6,6,2,4,2,2,2,2,2,2,1,1,1,2,2,2,2,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[
1,1,6,1,1,6,2,2,1,1,1,1,1,6,2,6,6,2,4,2,2,2,2,2,2,1,1,1,2,2,2,2,1,1,1,1,2,2,2,
2,1,1,1,1,1,1,1,1],[1,1,9,9,4,9,4,12,12,1,12,1,1,1,1],[1,1,9,9,4,9,4,12,12,1,
12,1,1,1,1],[1,1,9,9,4,9,4,12,12,1,12,1,1,1,1],[1,1,9,9,4,9,4,12,12,1,12,1,1,
1,1],[1,1,9,9,4,9,4,12,12,1,12,1,1,1,1],[1,1,9,9,4,9,4,12,12,1,12,1,1,1,1],[1,
1,1,1,4,1,4,4,4,1,4,1,1,1,1],[1,9,4,9,12,1,1,1],[1,9,4,9,12,1,1,1],[1,9,4,9,
12,1,1,1],[1,9,4,9,12,1,1,1],[1,9,4,9,12,1,1,1],[1,9,4,9,12,1,1,1],[1,1,1,1,5,
5,5,5,1,5,5,5,5,5,5,1,5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,7,7,1,1,1,1],[1,1,
7,7,1,1,1,1],[1,1,7,7,1,1,1,1],[1,3,6,3,3,16,2,1,1,1,3,3,3,3,6,6,6,3,3,3,6,4,
4,4,8,1,1],[1,3,6,3,3,16,2,1,1,1,3,3,3,3,6,6,6,3,3,3,6,4,4,4,8,1,1],[1,1,9,9,
4,3,1,9,9,3,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,9,9,4,1,3,9,3,9,6,4,4,4,
3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,3,6,3,6,4,1,3,6,3,3,3,6,3,3,4,4,4,1,3,3,3,3,
3,3,1,4,3,1,1,1,1],[1,1,3,6,3,6,4,1,3,6,3,3,3,6,3,3,4,4,4,1,3,3,3,3,3,3,1,4,3,
1,1,1,1],[1,1,9,9,4,3,1,9,9,3,3,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,9,9,
4,1,3,9,3,9,3,3,4,4,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,6,3,3,6,4,1,3,6,3,3,3,
6,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,6,3,3,6,4,1,3,6,3,3,3,6,6,4,4,4,1,
3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,9,9,4,3,1,9,3,9,3,3,4,4,4,1,3,3,3,3,3,3,1,4,3,
1,1,1,1],[1,1,9,9,4,1,3,9,9,3,3,3,4,4,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,3,6,
6,3,4,1,6,3,3,3,3,6,3,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,3,6,6,3,4,1,6,
3,3,3,3,6,3,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,9,9,4,3,1,9,9,3,3,3,4,4,
4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,9,9,4,1,3,9,3,9,3,3,4,4,4,1,3,3,3,3,3,3,1,
4,3,1,1,1,1],[1,1,9,9,4,3,1,9,9,3,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,9,
9,4,1,3,9,3,9,6,4,4,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,3,3,6,6,4,1,6,3,3,3,3,
6,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,3,3,6,6,4,1,6,3,3,3,3,6,6,4,4,4,1,
3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,6,6,3,3,4,1,3,6,3,3,3,6,3,3,4,4,4,1,3,3,3,3,3,
3,1,4,3,1,1,1,1],[1,1,6,6,3,3,4,1,3,6,3,3,3,6,3,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,
1,1,1],[1,1,6,3,6,3,4,1,6,3,3,3,3,6,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,
6,3,6,3,4,1,6,3,3,3,3,6,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,3,6,6,3,4,1,
6,3,3,3,3,6,3,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,3,6,6,3,4,1,6,3,3,3,3,
6,3,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,6,6,3,3,4,1,3,6,3,3,3,6,3,3,4,4,
4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,6,6,3,3,4,1,3,6,3,3,3,6,3,3,4,4,4,1,3,3,3,
3,3,3,1,4,3,1,1,1,1],[1,1,3,6,3,6,4,1,3,6,3,3,3,6,3,3,4,4,4,1,3,3,3,3,3,3,1,4,
3,1,1,1,1],[1,1,3,6,3,6,4,1,3,6,3,3,3,6,3,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,
1],[1,1,9,9,4,3,1,9,9,3,6,4,4,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,9,9,4,1,3,9,
3,9,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,9,9,4,1,3,9,9,3,3,3,4,4,4,3,1,3,
3,3,3,3,1,4,3,1,1,1,1],[1,1,9,9,4,3,1,9,3,9,3,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,
1,1],[1,1,9,9,4,3,1,9,3,9,3,3,4,4,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,9,9,4,1,
3,9,9,3,3,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,9,9,4,1,3,9,9,3,3,3,4,4,4,
3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,9,9,4,3,1,9,3,9,3,3,4,4,4,1,3,3,3,3,3,3,1,4,
3,1,1,1,1],[1,1,1,1,3,3,3,3,4,1,1,3,3,3,3,3,3,3,3,3,6,4,4,4,1,1,1,3,3,3,3,1,4,
1,1,1,1,1],[1,1,1,1,3,3,3,3,4,1,1,3,3,3,3,3,3,3,3,3,6,4,4,4,1,1,1,3,3,3,3,1,4,
1,1,1,1,1],[1,1,1,1,3,3,3,3,4,1,1,3,3,3,3,3,3,3,3,3,6,4,4,4,1,1,1,3,3,3,3,1,4,
1,1,1,1,1],[1,1,1,1,3,3,3,3,4,1,1,3,3,3,3,3,3,3,3,3,6,4,4,4,1,1,1,3,3,3,3,1,4,
1,1,1,1,1],[1,1,1,1,3,3,3,3,4,1,1,3,3,3,3,3,3,3,3,3,6,4,4,4,1,1,1,3,3,3,3,1,4,
1,1,1,1,1],[1,1,1,1,3,3,3,3,4,1,1,3,3,3,3,3,3,3,3,3,6,4,4,4,1,1,1,3,3,3,3,1,4,
1,1,1,1,1],[1,1,1,1,3,3,3,3,4,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,1,1,1,3,3,3,3,1,
4,1,1,1,1,1],[1,15,10,5,6,10,6,5,1],[1,15,10,5,6,10,6,5,1],[1,15,10,5,6,10,6,
5,1],[1,15,10,5,6,10,6,5,1],[1,15,10,5,6,10,6,5,1],[1,15,10,5,6,10,6,5,1],[1,
15,10,5,6,10,6,5,1],[1,1,1,1,15,15,15,15,1,5,10,10,10,15,15,15,15,15,15,15,15,
15,15,15,30,30,30,30,30,30,30,30,30,60,60,60,5,5,5,10,10,10,10,10,10,10,10,10,
15,15,15,15,15,15,15,15,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,
30,30,30,30,30,30,30,30,30,60,60,60,60,60,60,5,6,10,10,10,10,15,15,15,15,15,
15,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,60,6,6,6,10,10,10,15,1],[1,1,
1,1,15,15,15,15,1,5,10,10,10,15,15,15,15,15,15,15,15,15,15,15,30,30,30,30,30,
30,30,30,30,60,60,60,5,5,5,10,10,10,10,10,10,10,10,10,15,15,15,15,15,15,15,15,
30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,
30,60,60,60,60,60,60,5,6,10,10,10,10,15,15,15,15,15,15,30,30,30,30,30,30,30,
30,30,30,30,30,30,30,30,60,6,6,6,10,10,10,15,1],[1,1,1,1,3,3,3,3,1,1,3,3,3,3,
3,3,3,3,3,3,3,12,12,1,1,1,3,3,3,3,6,6,6,6,6,6,12,12,12,12,1,3,3,6,6,6,6,6,6,3,
4,1],[1,1,1,1,3,3,3,3,1,1,3,3,3,3,3,3,3,3,3,3,3,12,12,1,1,1,3,3,3,3,6,6,6,6,6,
6,12,12,12,12,1,3,3,6,6,6,6,6,6,3,4,1],[1,1,1,1,3,3,3,3,1,1,3,3,3,3,3,3,3,3,3,
3,3,12,12,1,1,1,3,3,3,3,6,6,6,6,6,6,12,12,12,12,1,3,3,6,6,6,6,6,6,3,4,1],[1,1,
1,1,3,3,3,3,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,1,1,1,3,3,3,3,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,1,1,1,4,1],[1,1,1,1,7,7,7,7,1,1,2,2,2,3,3,3,7,3,7,7,7,3,7,7,
6,6,6,6,6,6,6,6,6,12,12,12,4,4,4,4,1,1,1,2,2,2,2,2,2,2,2,2,3,1,1,3,1,7,3,1,6,
2,2,6,6,6,6,2,2,2,6,6,2,2,6,2,2,2,2,2,6,2,2,2,2,2,2,4,4,4,4,4,4,2,2,2,2,2,2,2,
2,2,2,2,2,4,4,4,4,4,4,4,4,1,2,2,2,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,1,1,1,1,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,2,2,2,2,2,2,1],[1,1,1,1,7,7,7,7,1,1,2,
2,2,3,3,3,7,3,7,7,7,3,7,7,6,6,6,6,6,6,6,6,6,12,12,12,4,4,4,4,1,1,1,2,2,2,2,2,
2,2,2,2,3,1,1,3,1,7,3,1,6,2,2,6,6,6,6,2,2,2,6,6,2,2,6,2,2,2,2,2,6,2,2,2,2,2,2,
4,4,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,1,2,2,2,1,1,1,1,1,1,2,2,2,
2,2,2,2,2,2,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,2,2,2,2,2,2,
1],[1,1,1,1,7,7,7,7,1,1,2,2,2,3,3,3,7,3,7,7,7,3,7,7,6,6,6,6,6,6,6,6,6,12,12,
12,4,4,4,4,1,1,1,2,2,2,2,2,2,2,2,2,3,1,1,3,1,7,3,1,6,2,2,6,6,6,6,2,2,2,6,6,2,
2,6,2,2,2,2,2,6,2,2,2,2,2,2,4,4,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,
4,1,2,2,2,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,1,1,1,2,2,2,2,2,2,1],[1,1,1,1,7,7,7,7,1,1,2,2,2,3,3,3,7,3,7,7,7,3,7,
7,6,6,6,6,6,6,6,6,6,12,12,12,4,4,4,4,1,1,1,2,2,2,2,2,2,2,2,2,3,1,1,3,1,7,3,1,
6,2,2,6,6,6,6,2,2,2,6,6,2,2,6,2,2,2,2,2,6,2,2,2,2,2,2,4,4,4,4,4,4,2,2,2,2,2,2,
2,2,2,2,2,2,4,4,4,4,4,4,4,4,1,2,2,2,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,1,1,1,1,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,2,2,2,2,2,2,1],[1,1,1,1,7,7,7,7,1,1,
2,2,2,3,3,3,7,3,7,7,7,3,7,7,6,6,6,6,6,6,6,6,6,12,12,12,4,4,4,4,1,1,1,2,2,2,2,
2,2,2,2,2,3,1,1,3,1,7,3,1,6,2,2,6,6,6,6,2,2,2,6,6,2,2,6,2,2,2,2,2,6,2,2,2,2,2,
2,4,4,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,1,2,2,2,1,1,1,1,1,1,2,2,
2,2,2,2,2,2,2,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,2,2,2,2,2,
2,1],[1,1,1,1,7,7,7,7,1,1,2,2,2,3,3,3,7,3,7,7,7,3,7,7,6,6,6,6,6,6,6,6,6,12,12,
12,4,4,4,4,1,1,1,2,2,2,2,2,2,2,2,2,3,1,1,3,1,7,3,1,6,2,2,6,6,6,6,2,2,2,6,6,2,
2,6,2,2,2,2,2,6,2,2,2,2,2,2,4,4,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,
4,1,2,2,2,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,1,1,1,2,2,2,2,2,2,1],[1,1,1,1,11,11,11,11,1,1,2,2,2,2,2,2,3,3,3,11,
3,11,11,11,3,11,11,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,4,4,
1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,1,1,1,1,3,1,1,11,3,1,1,6,6,2,2,2,
2,6,6,6,6,6,6,6,6,2,2,2,2,2,2,6,6,6,6,2,2,2,2,6,6,2,2,2,2,2,2,2,2,2,2,6,6,2,2,
2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,1,1],[1,1,1,1,11,11,
11,11,1,1,2,2,2,2,2,2,3,3,3,11,3,11,11,11,3,11,11,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,12,12,12,12,12,12,4,4,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,1,1,
1,1,3,1,1,11,3,1,1,6,6,2,2,2,2,6,6,6,6,6,6,6,6,2,2,2,2,2,2,6,6,6,6,2,2,2,2,6,
6,2,2,2,2,2,2,2,2,2,2,6,6,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,2,2,
2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1,
1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,1,2,2,2,2,2,2,
2,2,4,4,1,1],[1,1,1,1,11,11,11,11,1,1,2,2,2,2,2,2,3,3,3,11,3,11,11,11,3,11,11,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,4,4,1,1,1,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,3,1,1,1,1,3,1,1,11,3,1,1,6,6,2,2,2,2,6,6,6,6,6,6,6,6,2,
2,2,2,2,2,6,6,6,6,2,2,2,2,6,6,2,2,2,2,2,2,2,2,2,2,6,6,2,2,2,2,2,2,2,2,2,2,2,2,
4,4,4,4,4,4,4,4,4,4,4,4,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,
2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,1,1],[1,1,10,9,10,9,2,4,1,2,1,2,3,3,3,3,
10,9,6,2,6,12,9,9,9,9,6,2,3,6,6,3,12,4,18,18,2,2,4,2,2,2,2,1,2,1,4,1,1,3,3,3,
2,6,9,6,6,3,3,3,6,2,6,3,6,3,3,9,3,3,2,6,2,6,12,6,6,12,6,6,1,1,1,1,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,4,4,2,4,2,2,2,2,2,2,4,2,1,3,1,3,3,3,3,3,6,6,1,1,1,2,1,1,2,1,
1,1,1,1,2,1,2,2,2,2,2,2,2,4,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1],[1,1,10,9,10,9,2,4,2,1,2,1,3,3,3,3,10,9,6,6,2,12,9,9,9,9,2,6,6,3,3,
6,4,12,18,18,2,2,4,2,2,2,1,2,1,2,4,1,1,3,3,3,2,6,9,6,6,3,3,3,2,6,6,3,6,3,3,9,
3,3,2,6,2,6,12,6,6,12,6,6,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,2,4,2,2,2,
2,2,2,4,2,1,3,1,3,3,3,3,3,6,6,1,1,1,2,1,1,2,1,1,1,1,1,2,1,2,2,2,2,2,2,2,4,2,2,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,10,9,10,9,2,5,5,
5,5,5,5,10,9,10,6,5,2,2,5,5,2,2,5,10,15,15,20,4,10,10,4,2,2,4,2,2,5,5,2,5,5,5,
1,1,10,5,2,2,5,5,5,10,5,2,5,5,5,2,5,5,10,2,10,10,10,10,10,1,1,1,1,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,4,2,2,4,2,4,2,2,2,2,4,2,2,1,1,5,5,5,5,5,5,1,1,1,1,1,1,2,1,1,1,
2,1,1,2,2,2,2,2,2,2,4,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1],[1,1,10,9,10,9,2,5,5,5,5,5,5,10,9,10,6,2,5,5,2,2,5,5,2,10,15,15,20,10,
4,4,10,2,2,4,2,2,5,5,2,5,5,5,1,1,10,2,5,2,5,5,5,10,5,2,5,5,2,5,5,5,10,2,10,10,
10,10,10,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,4,2,4,2,2,2,2,4,2,2,1,1,5,
5,5,5,5,5,1,1,1,1,1,1,2,1,1,1,2,1,1,2,2,2,2,2,2,2,4,2,2,2,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,13,13,6,6,2,1,1,2,4,3,3,3,6,6,3,13,
3,2,9,3,2,9,6,6,12,2,9,2,9,6,4,18,12,18,4,4,2,2,2,2,2,1,1,4,2,1,3,3,3,1,6,3,9,
2,2,6,6,2,6,2,9,6,3,3,2,6,6,3,3,6,3,3,3,6,6,6,12,12,6,1,1,2,2,1,1,2,2,2,2,2,4,
4,4,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,1,1,3,6,3,3,3,3,3,6,1,1,1,1,1,1,1,1,1,1,
2,2,2,2,1,2,2,2,2,2,4,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1],[1,1,13,13,6,6,2,1,1,4,2,3,3,3,6,6,3,13,3,9,2,3,9,2,6,12,6,9,2,9,2,6,
18,4,12,4,18,4,2,2,2,2,2,1,1,2,4,3,1,3,1,3,6,3,2,9,6,2,6,6,2,9,2,6,3,3,6,2,6,
3,3,6,3,3,3,6,6,6,12,12,6,1,1,2,2,1,1,2,2,2,2,2,4,4,4,2,2,2,2,2,2,2,2,2,4,2,2,
2,2,2,2,2,1,3,1,6,3,3,3,3,3,6,1,1,1,1,1,1,1,1,1,1,2,2,2,2,1,2,2,2,2,2,4,2,2,2,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,6,13,6,13,2,2,4,
1,1,3,3,3,3,6,13,6,6,6,12,9,2,2,9,9,2,2,9,6,3,3,12,4,18,18,4,2,2,4,2,2,2,1,1,
2,4,3,1,3,3,1,6,9,2,6,2,6,3,3,3,6,6,3,2,6,3,3,9,2,3,3,2,6,6,12,6,6,12,6,6,1,1,
1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,2,4,2,2,2,2,2,2,1,3,1,3,3,3,3,3,6,6,
1,1,1,1,1,1,1,1,2,2,2,2,1,1,1,2,2,4,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,6,13,6,13,2,4,2,1,1,3,3,3,3,6,13,6,6,12,6,2,9,
9,2,2,9,9,2,6,3,3,12,18,4,4,18,2,2,4,2,2,2,1,1,4,2,3,3,1,1,3,6,2,9,6,6,2,3,3,
3,6,6,3,6,2,3,3,2,9,3,3,6,2,6,12,6,6,12,6,6,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,4,4,4,2,4,2,2,2,2,2,2,1,1,3,3,3,3,3,3,6,6,1,1,1,1,1,1,1,1,2,2,2,2,1,1,1,
2,2,4,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,
1,14,5,14,5,2,5,2,5,5,5,5,5,14,5,10,2,5,5,5,5,2,10,6,15,15,6,4,20,10,10,2,2,4,
2,2,5,2,5,2,1,5,1,5,5,10,2,5,5,5,5,2,10,5,5,5,5,5,5,2,10,10,2,10,10,10,10,1,1,
1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,2,2,2,2,2,2,4,2,4,1,1,5,5,5,5,5,5,1,1,
1,1,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,4,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1],[1,1,14,5,14,5,5,2,5,2,5,5,5,5,14,5,2,10,5,5,5,5,10,2,
15,6,6,15,20,4,10,10,2,2,4,2,2,2,5,2,5,5,1,5,1,5,2,10,5,5,5,5,10,2,5,5,5,5,5,
5,10,2,2,10,10,10,10,10,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,2,2,2,2,2,
2,4,2,4,1,5,1,5,5,5,5,5,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,4,2,2,2,2,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,14,5,5,14,2,5,2,5,5,5,
5,5,5,14,5,5,10,2,15,6,5,6,15,2,10,5,10,10,20,4,2,2,2,2,4,2,5,2,5,5,1,5,1,5,5,
5,5,10,2,5,5,5,5,10,2,5,5,2,10,5,10,2,10,10,10,10,2,2,1,1,2,1,1,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,4,2,2,2,2,4,4,2,2,4,1,1,5,5,5,5,5,5,1,1,1,1,1,1,1,1,2,2,1,1,2,2,
1,2,2,2,2,2,2,2,2,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[
1,1,14,5,5,14,5,2,5,2,5,5,5,5,5,14,5,5,2,10,6,15,5,15,6,10,2,5,10,10,4,20,2,2,
2,2,4,5,2,5,2,5,5,1,5,1,5,5,5,2,10,5,5,5,5,2,10,5,5,10,2,5,2,10,10,10,10,10,2,
2,1,1,2,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,4,4,2,2,4,1,5,1,5,5,5,5,5,1,
1,1,1,1,1,1,1,2,2,1,1,2,2,1,2,2,2,2,2,2,2,2,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1],[1,1,9,9,10,10,2,1,2,1,2,4,3,3,3,10,6,3,9,6,3,9,6,3,
9,2,6,12,9,9,2,6,18,12,4,18,4,2,2,2,2,2,2,1,2,1,4,1,3,1,3,3,6,2,3,2,9,6,6,6,9,
6,2,3,2,3,6,6,3,3,6,3,3,3,6,6,6,12,12,6,1,1,2,2,1,1,2,2,2,2,2,4,2,2,4,4,2,2,2,
2,2,2,2,2,4,2,2,2,2,2,2,1,1,3,6,3,3,3,3,3,6,1,1,1,2,1,2,2,1,1,1,1,1,2,1,1,2,2,
4,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,9,
9,10,10,2,2,1,2,1,4,3,3,3,10,6,3,9,3,6,9,3,6,9,6,2,12,9,9,6,2,18,4,12,18,4,2,
2,2,2,2,1,2,1,2,4,1,3,1,3,3,2,6,3,2,9,6,6,6,9,6,2,3,2,3,6,6,3,3,6,3,3,3,6,6,6,
12,12,6,1,1,2,2,1,1,2,2,2,2,2,4,2,2,4,4,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,1,1,3,6,
3,3,3,3,3,6,1,1,1,2,1,2,2,1,1,1,1,1,2,1,1,2,2,4,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,5,5,14,14,2,5,2,5,5,5,5,14,5,5,15,
6,5,15,6,5,10,2,5,5,10,2,10,4,20,10,4,2,2,2,2,5,2,5,2,1,5,1,5,5,2,10,5,10,2,5,
5,10,2,5,2,10,5,5,5,5,5,5,10,10,10,10,1,1,2,2,1,1,2,2,2,2,2,4,4,2,4,2,4,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,1,1,5,5,5,5,5,5,1,1,1,1,2,2,1,1,1,1,1,2,2,1,1,2,2,2,2,2,
2,2,2,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,5,5,14,
14,5,2,5,2,5,5,5,14,5,5,6,15,5,6,15,5,2,10,5,5,2,10,10,20,4,10,4,2,2,2,2,2,5,
2,5,5,1,5,1,5,10,2,5,2,10,5,5,2,10,5,10,2,5,5,5,5,5,5,10,10,10,10,1,1,2,2,1,1,
2,2,2,2,2,4,4,2,4,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,5,1,5,5,5,5,5,1,1,1,1,2,2,
1,1,1,1,1,2,2,1,1,2,2,2,2,2,2,2,2,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1],[1,1,10,9,9,10,2,2,1,4,2,1,6,3,3,3,9,3,10,9,9,6,2,12,3,6,9,6,3,
2,6,9,18,18,12,4,2,2,2,2,4,2,2,1,2,1,4,3,3,1,1,3,3,3,9,6,2,3,3,3,9,2,3,6,6,3,
6,6,6,2,3,6,6,2,6,6,12,12,6,6,2,2,1,1,2,1,1,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,
2,2,4,4,4,2,2,1,3,1,3,3,3,3,3,6,6,1,1,1,2,2,1,1,1,1,1,2,2,1,1,1,2,2,2,4,2,2,2,
2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,10,9,9,10,2,
1,2,4,1,2,6,3,3,3,9,3,10,9,9,2,6,12,6,3,9,3,6,6,2,9,18,18,4,12,2,2,2,2,4,2,1,
2,1,2,4,3,3,1,1,3,3,3,9,2,6,3,3,3,9,2,3,6,6,3,6,6,6,2,3,6,6,2,6,6,12,12,6,6,2,
2,1,1,2,1,1,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,4,4,4,2,2,1,3,1,3,3,3,3,3,6,
6,1,1,1,2,2,1,1,1,1,1,2,2,1,1,1,2,2,2,4,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,6,13,13,6,2,1,2,4,1,6,3,3,3,13,3,6,9,2,2,9,
6,6,12,3,2,9,3,6,9,2,4,18,4,18,12,2,2,2,2,4,2,1,1,4,2,3,1,3,3,1,3,3,9,2,6,3,3,
3,2,9,3,6,2,6,3,6,2,6,6,2,3,6,6,6,6,12,12,6,6,2,2,1,1,2,1,1,2,2,2,2,2,2,4,4,2,
2,2,2,2,2,2,2,2,2,2,2,2,4,4,2,1,3,1,3,3,3,3,3,6,6,1,1,1,1,1,1,1,2,2,2,2,1,1,1,
1,2,2,2,2,2,2,2,4,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[
1,1,6,13,13,6,2,1,4,2,1,6,3,3,3,13,3,6,2,9,9,2,6,12,6,3,9,2,3,6,2,9,18,4,18,4,
12,2,2,2,2,4,2,1,1,2,4,3,3,1,1,3,3,3,2,9,6,3,3,3,9,2,3,2,6,6,3,6,6,2,2,6,3,6,
6,6,6,12,12,6,6,2,2,1,1,2,1,1,2,2,2,2,2,2,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,2,
1,1,3,3,3,3,3,3,6,6,1,1,1,1,1,1,1,2,2,2,2,1,1,1,1,2,2,2,2,2,2,2,4,2,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,10,9,9,10,5,2,5,5,5,5,9,5,
10,2,5,5,2,10,6,15,5,2,15,10,2,5,10,4,10,4,20,2,2,2,2,4,5,5,2,5,1,5,5,1,5,5,2,
5,10,5,5,5,5,2,10,5,2,5,2,2,10,5,10,10,10,10,10,2,2,1,1,2,1,1,2,2,2,2,2,2,4,2,
2,2,2,2,2,2,2,2,2,4,4,2,2,4,2,2,1,1,5,5,5,5,5,5,1,1,1,1,2,2,1,1,1,1,2,1,2,1,1,
2,2,2,4,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,
1,10,9,9,10,5,2,5,5,5,5,9,5,10,5,2,2,5,10,6,15,2,5,15,10,5,2,4,10,4,10,20,2,2,
2,2,4,5,5,2,5,1,5,5,1,5,5,5,2,10,5,5,5,2,5,10,5,2,5,2,2,10,5,10,10,10,10,10,2,
2,1,1,2,1,1,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,4,4,2,2,4,2,2,1,1,5,5,5,5,5,5,1,
1,1,1,2,2,1,1,1,1,2,1,2,1,1,2,2,2,4,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1],[1,1,9,9,10,10,5,5,2,5,5,5,10,5,9,15,2,5,15,2,5,10,6,
2,5,2,5,10,4,10,20,10,4,4,2,2,2,2,5,5,2,5,1,5,5,1,10,5,10,5,2,2,2,2,5,10,5,10,
5,2,5,5,5,5,5,10,10,10,10,1,1,2,2,1,1,2,2,2,2,2,4,2,2,4,2,2,4,2,2,2,2,2,2,2,4,
2,2,2,2,2,1,5,1,5,5,5,5,5,1,1,1,2,1,1,2,2,1,1,1,1,1,2,1,2,2,2,4,2,2,2,2,2,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,9,9,10,10,5,5,2,5,5,
5,10,5,9,15,5,2,15,5,2,10,6,5,2,5,2,10,10,4,20,4,10,4,2,2,2,2,5,5,2,5,1,5,5,1,
10,5,10,2,5,2,2,5,2,10,5,10,5,2,5,5,5,5,5,10,10,10,10,1,1,2,2,1,1,2,2,2,2,2,4,
2,2,4,2,2,4,2,2,2,2,2,2,2,4,2,2,2,2,2,1,5,1,5,5,5,5,5,1,1,1,2,1,1,2,2,1,1,1,1,
1,2,1,2,2,2,4,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1],[1,1,9,9,4,9,18,4,12,12,9,1,12,1,1,1,1,2,1],[1,1,9,9,4,9,18,4,12,12,9,1,12,
1,1,1,1,2,1],[1,1,9,9,4,9,18,4,12,12,9,1,12,1,1,1,1,2,1],[1,1,9,9,4,9,18,4,12,
12,9,1,12,1,1,1,1,2,1],[1,1,9,9,4,9,18,4,12,12,9,1,12,1,1,1,1,2,1],[1,1,9,9,4,
9,18,4,12,12,9,1,12,1,1,1,1,2,1],[1,1,9,9,4,9,9,9,4,12,12,9,1,12,1,1,1,1,1,1,
1],[1,1,9,9,4,9,9,9,4,12,12,9,1,12,1,1,1,1,1,1,1],[1,1,9,9,4,9,9,9,4,12,12,9,
1,12,1,1,1,1,1,1,1],[1,1,9,9,4,9,9,9,4,12,12,9,1,12,1,1,1,1,1,1,1],[1,1,9,9,4,
9,9,9,4,12,12,9,1,12,1,1,1,1,1,1,1],[1,1,9,9,4,9,9,9,4,12,12,9,1,12,1,1,1,1,1,
1,1],[1,1,1,1,9,9,9,9,4,1,9,9,9,9,9,9,4,4,4,12,12,12,12,9,1,4,12,12,12,12,12,
12,1,1,1,1,1,1,1,12,1,1,1,1,1,1,1,1],[1,5,5,5,5,5,5,5,5,5,5,16,5,5,5,1,1],[1,
5,5,5,5,5,5,5,5,5,5,16,5,5,5,1,1],[1,1,1,1,7,1,7,7,7,1,7,1,1,1,1,1,1,1,1,1],[
1,3,6,3,15,16,2,1,6,1,1,3,3,6,3,6,3,6,6,6,6,6,6,16,3,3,3,3,6,3,3,3,6,6,6,6,6,
6,4,4,4,8,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,3,6,3,15,16,2,6,1,1,1,3,3,6,3,6,3,6,6,
6,6,6,6,16,3,3,3,3,6,3,3,3,6,6,6,6,6,6,4,4,4,8,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,
3,18,3,3,16,2,1,1,1,3,3,6,3,6,3,6,6,6,6,6,6,6,16,3,3,3,3,6,3,3,3,6,6,6,6,6,6,
4,4,4,8,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,3,18,3,3,16,2,1,1,1,3,6,3,6,3,6,3,6,6,6,
6,6,6,16,3,3,3,3,6,3,3,3,6,6,6,6,6,6,4,4,4,8,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,15,
6,3,3,16,2,1,1,1,6,3,3,3,3,6,6,6,6,6,6,6,6,16,3,3,3,3,6,3,3,3,6,6,6,6,6,6,4,4,
4,8,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,15,6,3,3,16,2,1,1,6,1,3,3,3,3,6,6,6,6,6,6,6,
6,16,3,3,3,3,6,3,3,3,6,6,6,6,6,6,4,4,4,8,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,3,6,15,
3,16,2,1,1,6,1,3,6,3,3,3,6,6,6,6,6,6,6,16,3,3,3,3,6,3,3,3,6,6,6,6,6,6,4,4,4,8,
1,3,3,3,3,3,3,4,4,4,3,1,1],[1,3,6,15,3,16,2,1,6,1,1,3,6,3,3,3,6,6,6,6,6,6,6,
16,3,3,3,3,6,3,3,3,6,6,6,6,6,6,4,4,4,8,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,1,9,9,6,
6,16,2,1,1,4,3,3,3,6,6,3,9,3,9,3,9,6,12,9,9,6,18,12,18,16,2,1,1,4,3,3,3,6,3,9,
6,6,6,9,6,3,3,6,6,3,3,6,3,3,3,6,6,6,12,12,6,4,4,4,8,1,3,6,3,3,3,3,3,6,4,4,4,8,
1,1,1],[1,1,9,9,6,6,16,2,1,1,4,3,3,3,6,6,3,9,3,9,3,9,6,12,9,9,6,18,12,18,16,2,
1,1,4,3,3,3,6,3,9,6,6,6,9,6,3,3,6,6,3,3,6,3,3,3,6,6,6,12,12,6,4,4,4,8,1,3,6,3,
3,3,3,3,6,4,4,4,8,1,1,1],[1,1,6,9,9,6,16,2,1,4,1,6,3,3,3,9,3,6,9,9,6,12,3,9,3,
6,9,18,18,12,16,2,1,1,4,3,3,3,3,3,9,6,3,3,3,9,3,6,6,3,6,6,6,3,6,6,6,6,12,12,6,
6,4,4,4,8,1,3,3,3,3,3,3,6,6,4,4,4,8,1,1,1],[1,1,6,9,9,6,16,2,1,4,1,6,3,3,3,9,
3,6,9,9,6,12,3,9,3,6,9,18,18,12,16,2,1,1,4,3,3,3,3,3,9,6,3,3,3,9,3,6,6,3,6,6,
6,3,6,6,6,6,12,12,6,6,4,4,4,8,1,3,3,3,3,3,3,6,6,4,4,4,8,1,1,1],[1,1,6,9,6,9,
16,2,4,1,1,3,3,3,3,6,9,6,6,12,9,9,9,9,6,3,3,12,18,18,16,2,1,1,4,3,3,3,6,9,6,6,
3,3,3,6,6,3,6,3,3,9,3,3,6,6,12,6,6,12,6,6,4,4,4,8,1,3,3,3,3,3,3,6,6,4,4,4,8,1,
1,1],[1,1,6,9,6,9,16,2,4,1,1,3,3,3,3,6,9,6,6,12,9,9,9,9,6,3,3,12,18,18,16,2,1,
1,4,3,3,3,6,9,6,6,3,3,3,6,6,3,6,3,3,9,3,3,6,6,12,6,6,12,6,6,4,4,4,8,1,3,3,3,3,
3,3,6,6,4,4,4,8,1,1,1],[1,1,3,3,16,1,3,3,6,6,16,1,3,3,6,6,4,3,4,1,1],[1,1,3,3,
16,1,3,3,6,6,16,1,3,3,6,6,4,3,4,1,1],[1,1,3,3,16,1,3,3,6,6,16,1,3,3,6,6,4,3,4,
1,1],[1,1,1,1,9,9,9,9,4,1,3,1,9,9,9,9,9,9,3,9,9,3,3,9,18,6,6,6,4,4,4,4,4,4,4,
1,3,3,1,1,3,9,9,3,3,9,3,9,3,3,6,6,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,4,4,4,4,4,
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],[1,1,1,1,
9,9,9,9,4,1,1,3,9,9,9,9,9,9,9,3,3,9,9,3,6,18,6,6,4,4,4,4,4,4,4,3,1,1,3,3,1,9,
3,9,9,3,9,3,3,3,6,6,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,4,4,4,4,4,4,4,3,1,3,3,3,
3,3,3,3,3,3,3,3,3,3,1,1,1,1,1,1,1,4,3,1,1,1,1,1,1,1,1],[1,1,1,1,9,9,9,9,4,1,1,
3,9,9,9,9,9,9,9,3,3,9,3,9,6,18,6,6,4,4,4,4,4,4,4,1,3,3,1,1,3,9,3,9,3,9,3,9,3,
3,6,6,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,4,4,4,4,4,4,4,1,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,1,1,1,1,1,1,1,4,3,1,1,1,1,1,1,1,1],[1,1,1,1,9,9,9,9,4,1,3,1,9,9,9,9,9,9,
3,9,9,3,9,3,18,6,6,6,4,4,4,4,4,4,4,3,1,1,3,3,1,9,9,3,9,3,9,3,3,3,6,6,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,1,4,4,4,4,4,4,4,3,1,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,1,
1,1,1,4,3,1,1,1,1,1,1,1,1],[1,1,1,1,9,9,9,9,4,1,3,1,9,9,9,9,9,9,3,9,9,3,9,3,6,
18,6,6,4,4,4,4,4,4,4,1,3,1,3,1,3,9,3,9,3,9,3,9,3,3,6,6,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,1,4,4,4,4,4,4,4,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,1,1,1,1,4,3,1,1,
1,1,1,1,1,1],[1,1,1,1,9,9,9,9,4,1,1,3,9,9,9,9,9,9,9,3,3,9,3,9,18,6,6,6,4,4,4,
4,4,4,4,3,1,3,1,3,1,9,9,3,9,3,9,3,3,3,6,6,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,4,
4,4,4,4,4,4,3,1,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,1,1,1,1,4,3,1,1,1,1,1,1,1,1],[
1,1,15,15,10,5,15,15,6,10,10,10,5,6,6,6,5,10,6,5,1,1],[1,1,15,15,10,5,15,15,6,
10,10,10,5,6,6,6,5,10,6,5,1,1],[1,1,15,15,10,5,15,15,6,10,10,10,5,6,6,6,5,10,
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],[1,1,15,15,10,
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],[1,1,15,15,10,5,15,15,6,10,10,10,5,6,6,6,5,10,6,5,1,1],[1,1,
15,15,10,5,15,15,6,10,10,10,5,6,6,6,5,10,6,5,1,1],[1,1,15,15,10,5,15,15,6,10,
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],[1,1,15,15,10,5,15,15,6,10,10,10,5,6,6,6,5,10,6,5,1,1],[1,1,15,15,10,5,
15,15,6,10,10,10,5,6,6,6,5,10,6,5,1,1],[1,1,15,15,10,5,15,15,6,10,10,10,5,6,6,
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,
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],[1,1,15,15,10,5,15,15,6,10,10,10,5,6,6,6,5,10,6,5,
1,1],[1,1,15,15,10,5,15,15,6,10,10,10,5,6,6,6,5,10,6,5,1,1],[1,1,15,15,10,5,
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],[1,1,15,15,10,5,15,15,6,10,10,10,5,6,6,6,5,10,6,5,1,1],[1,1,1,
1,11,11,11,11,1,1,2,2,2,2,2,2,3,3,3,11,3,11,11,11,3,11,11,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,12,12,12,12,12,12,4,4,12,12,4,4,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,3,1,1,1,1,3,1,1,11,3,1,1,6,6,2,2,2,2,6,6,6,6,6,6,6,6,2,2,2,2,2,2,
6,6,6,6,2,2,2,2,6,6,2,2,2,2,2,2,2,2,2,2,6,6,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,
4,4,4,4,4,4,4,2,2,2,2,2,2,2,2,2,2,6,6,6,6,6,6,2,2,12,4,4,4,12,12,4,4,4,4,12,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,3,3,2,2,2,2,2,2,2,2,2,2,2,6,2,6,6,6,6,6,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,2,2,2,2,2,
2,2,2,4,4,1,1,3,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,
1,1,1],[1,1,1,1,11,11,11,11,1,1,2,2,2,2,2,2,3,3,3,11,3,11,11,11,3,11,11,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,4,4,4,4,1,1,1,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,3,1,1,1,1,3,1,1,11,3,1,1,6,6,2,2,2,2,6,6,6,6,6,6,6,
6,2,2,2,2,2,2,6,6,6,6,2,2,2,2,6,6,2,2,2,2,2,2,2,2,2,2,6,6,2,2,2,2,2,2,2,2,2,2,
2,2,4,4,4,4,4,4,4,4,4,4,4,4,2,2,2,2,6,6,6,6,2,2,2,2,2,2,2,2,6,6,4,4,4,4,4,4,
12,12,12,4,4,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1,
1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,1,1,1,1,2,2,6,2,2,6,6,6,6,6,2,
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,
4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,
1,1,1,2,2,2,2,2,2,2,2,4,4,3,1,1,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,1,1,1,1,1,1,1,1],[1,1,1,1,11,11,11,11,1,1,2,2,2,2,2,2,3,3,3,11,3,11,11,
11,3,11,11,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,4,4,4,4,12,
12,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,1,1,1,1,3,1,1,11,3,1,1,6,6,2,2,
2,2,6,6,6,6,6,6,6,6,2,2,2,2,2,2,6,6,6,6,2,2,2,2,6,6,2,2,2,2,2,2,2,2,2,2,6,6,2,
2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,6,6,6,6,2,2,2,2,6,6,2,2,2,2,2,2,
2,2,4,12,12,12,4,4,4,4,4,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,2,2,2,2,2,2,
1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,3,3,1,1,6,6,2,
6,6,2,2,2,2,2,6,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,1,3,1,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,1,1,19,19,19,19,1,5,10,2,10,2,10,
2,15,15,15,19,15,19,19,19,15,19,19,6,30,30,6,6,30,30,6,6,30,30,6,30,6,30,6,6,
30,60,12,60,12,12,60,4,4,4,4,4,4,5,5,5,2,10,10,2,2,10,2,10,10,2,2,10,2,10,2,
10,10,2,15,15,1,15,1,15,15,1,19,15,1,15,30,6,2,30,2,30,6,30,6,30,6,30,6,30,30,
2,30,2,30,2,30,6,30,6,2,30,2,30,30,6,2,30,30,2,30,2,30,2,30,2,6,30,2,30,30,2,
30,2,30,2,2,30,2,30,60,4,60,4,4,60,4,60,60,4,60,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,5,6,2,10,2,10,10,2,10,1,15,
15,1,15,1,1,15,15,1,15,1,2,30,30,2,30,30,2,30,2,30,30,2,30,30,30,2,30,30,30,2,
2,30,30,2,60,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,6,6,6,10,10,10,1,15,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,
1,1,2,2,2,2,2,2,2,2,2,2,2,2,1],[1,1,1,1,19,19,19,19,1,5,2,10,2,10,2,10,15,15,
15,19,15,19,19,19,15,19,19,30,6,6,30,30,6,6,30,30,6,6,30,6,30,6,30,30,6,12,60,
12,60,60,12,4,4,4,4,4,4,5,5,5,10,2,2,10,10,2,10,2,2,10,10,2,10,2,10,2,2,10,15,
1,15,1,15,15,1,15,19,15,15,1,6,30,30,2,30,2,30,6,30,6,30,6,30,6,2,30,2,30,2,
30,6,30,6,30,30,2,30,2,6,30,30,2,2,30,2,30,2,30,2,30,30,6,30,2,2,30,2,30,2,30,
30,2,30,2,4,60,4,60,60,4,60,4,4,60,4,60,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,5,6,10,2,10,2,2,10,10,15,1,1,15,1,15,
15,1,1,15,1,15,30,2,30,30,2,30,30,2,30,2,30,30,2,30,30,30,2,30,2,30,30,2,2,30,
60,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
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,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,6,6,6,10,10,10,15,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,
2,2,2,2,2,2,2,2,2,1],[1,1,1,1,9,9,9,9,4,1,9,9,9,9,9,9,18,18,4,4,4,12,12,12,12,
9,9,9,18,18,1,4,12,12,12,12,12,12,9,1,1,1,1,1,1,1,12,1,1,1,1,1,1,1,2,2,1,1,2,
2,1,1],[1,1,1,1,9,9,9,9,4,1,9,9,9,9,9,9,18,18,4,4,4,12,12,12,12,9,9,9,18,18,1,
4,12,12,12,12,12,12,9,1,1,1,1,1,1,1,12,1,1,1,1,1,1,1,2,2,1,1,2,2,1,1],[1,1,1,
1,9,9,9,9,4,1,9,9,9,9,9,9,18,18,4,4,4,12,12,12,12,9,9,9,18,18,1,4,12,12,12,12,
12,12,9,1,1,1,1,1,1,1,12,1,1,1,1,1,1,1,2,2,1,1,2,2,1,1],[1,25,5,5,10,5,5,5,5,
10,5,10,5,5,10,10,10,16,5,5,5,5,5,5,5,10,10,10,10,10,10,16,1,5,5,5,5,5,5,5,1,
1],[1,25,5,5,10,5,5,5,5,5,10,5,10,5,10,10,10,16,5,5,5,5,5,5,5,10,10,10,10,10,
10,16,1,5,5,5,5,5,5,5,1,1],[1,5,5,25,10,5,5,5,10,5,10,5,5,5,10,10,10,16,5,5,5,
5,5,5,5,10,10,10,10,10,10,16,1,5,5,5,5,5,5,5,1,1],[1,5,5,25,10,5,5,10,5,10,5,
5,5,5,10,10,10,16,5,5,5,5,5,5,5,10,10,10,10,10,10,16,1,5,5,5,5,5,5,5,1,1],[1,
5,25,5,10,5,10,5,5,5,5,5,10,5,10,10,10,16,5,5,5,5,5,5,5,10,10,10,10,10,10,16,
1,5,5,5,5,5,5,5,1,1],[1,5,25,5,10,5,5,10,5,5,5,5,5,10,10,10,10,16,5,5,5,5,5,5,
5,10,10,10,10,10,10,16,1,5,5,5,5,5,5,5,1,1],[1,5,20,5,5,5,5,10,5,10,5,10,5,5,
5,10,10,10,16,5,5,5,5,5,5,5,10,10,10,10,10,10,16,1,5,5,5,5,5,5,5,1,1],[1,5,20,
5,5,5,5,10,5,10,5,10,5,5,5,10,10,10,16,5,5,5,5,5,5,5,10,10,10,10,10,10,16,1,5,
5,5,5,5,5,5,1,1],[1,1,10,5,10,5,5,5,5,5,5,5,10,5,10,5,5,5,5,10,15,15,20,10,10,
16,5,5,5,5,5,10,5,5,5,5,10,5,5,5,5,5,5,10,10,10,10,10,10,16,1,5,5,5,5,5,5,1,1,
1],[1,1,10,5,10,5,5,5,5,5,5,5,10,5,10,5,5,5,5,10,15,15,20,10,10,16,5,5,5,5,5,
10,5,5,5,5,10,5,5,5,5,5,5,10,10,10,10,10,10,16,1,5,5,5,5,5,5,1,1,1],[1,1,5,5,
10,10,5,5,5,5,5,10,5,5,15,5,15,5,10,5,5,10,10,20,10,16,5,5,5,5,5,10,5,10,5,5,
10,5,10,5,5,5,5,5,5,10,10,10,10,16,1,5,5,5,5,5,5,1,1,1],[1,1,5,5,10,10,5,5,5,
5,5,10,5,5,15,5,15,5,10,5,5,10,10,20,10,16,5,5,5,5,5,10,5,10,5,5,10,5,10,5,5,
5,5,5,5,10,10,10,10,16,1,5,5,5,5,5,5,1,1,1],[1,1,10,5,5,10,5,5,5,5,5,5,5,10,5,
5,10,15,5,15,10,5,10,10,20,16,5,5,5,5,5,5,5,5,10,5,5,5,5,10,5,5,10,5,10,10,10,
10,10,16,1,5,5,5,5,5,5,1,1,1],[1,1,10,5,5,10,5,5,5,5,5,5,5,10,5,5,10,15,5,15,
10,5,10,10,20,16,5,5,5,5,5,5,5,5,10,5,5,5,5,10,5,5,10,5,10,10,10,10,10,16,1,5,
5,5,5,5,5,1,1,1],[1,21,28,7,7,21,28,8,21,7,7,8,7,7,1],[1,21,28,7,7,21,28,8,21,
7,7,8,7,7,1],[1,21,28,7,7,21,28,8,21,7,7,8,7,7,1],[1,1,1,1,15,15,15,15,16,1,5,
10,10,10,15,15,15,15,15,15,15,15,15,15,15,30,30,30,30,30,30,30,30,30,60,60,60,
16,16,16,5,5,5,10,10,10,10,10,10,10,10,10,15,15,15,15,15,15,15,15,30,30,30,30,
30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,60,60,60,
60,60,60,4,4,4,8,16,5,6,10,10,10,10,15,15,15,15,15,15,30,30,30,30,30,30,30,30,
30,30,30,30,30,30,30,60,4,4,4,4,4,4,4,4,4,8,8,8,6,6,6,10,10,10,15,1,4,4,4,8,1,
1,1,1,1],[1,1,1,1,15,15,15,15,16,1,5,10,10,10,15,15,15,15,15,15,15,15,15,15,
15,30,30,30,30,30,30,30,30,30,60,60,60,16,16,16,5,5,5,10,10,10,10,10,10,10,10,
10,15,15,15,15,15,15,15,15,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,
30,30,30,30,30,30,30,30,30,30,60,60,60,60,60,60,4,4,4,8,16,5,6,10,10,10,10,15,
15,15,15,15,15,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,60,4,4,4,4,4,4,4,
4,4,8,8,8,6,6,6,10,10,10,15,1,4,4,4,8,1,1,1,1,1],[1,1,18,9,9,18,16,2,6,1,4,6,
1,6,3,3,3,9,3,18,9,9,6,6,12,3,18,9,18,3,6,6,9,18,18,12,12,6,6,6,6,12,16,16,16,
2,6,1,6,1,4,3,3,3,3,3,3,3,9,6,6,3,3,3,9,6,3,6,6,3,6,6,6,6,3,6,6,6,6,6,12,12,6,
6,6,6,3,3,6,3,3,6,6,6,6,6,6,6,6,6,12,6,6,6,6,6,6,6,6,6,12,12,12,6,6,4,4,4,8,
16,1,3,3,3,3,3,3,3,6,6,3,3,3,6,6,3,3,3,3,3,6,6,3,3,3,6,6,6,12,6,6,6,6,6,3,3,3,
3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,8,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,4,4,4,3,
1,1,1,1],[1,1,18,9,9,18,16,2,1,6,4,1,6,6,3,3,3,9,3,18,9,9,6,6,12,18,3,9,3,18,
6,6,9,18,18,12,12,6,6,6,6,12,16,16,16,2,1,6,1,6,4,3,3,3,3,3,3,3,9,6,6,3,3,3,9,
6,3,6,6,3,6,6,6,6,3,6,6,6,6,6,12,12,6,6,6,6,3,3,6,3,3,6,6,6,6,6,6,6,6,6,12,6,
6,6,6,6,6,6,6,6,12,12,12,6,6,4,4,4,8,16,1,3,3,3,3,3,3,3,6,6,3,3,3,6,6,3,3,3,3,
3,6,6,3,3,3,6,6,6,12,6,6,6,6,6,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,8,1,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,4,4,4,3,1,1,1,1],[1,1,9,9,18,18,16,2,1,6,1,6,4,
3,3,3,18,6,3,9,18,3,9,18,3,9,6,6,12,9,9,6,6,18,12,12,18,12,6,6,6,6,16,16,16,2,
6,1,6,1,4,3,3,3,3,3,6,6,3,6,9,6,6,6,9,6,6,3,6,3,6,6,3,3,6,3,3,3,6,6,6,12,12,6,
3,3,6,6,3,3,6,6,6,6,6,12,6,6,12,12,6,6,6,6,6,6,6,6,12,6,6,6,6,6,6,4,4,4,8,16,
1,3,3,6,3,3,3,3,3,6,3,3,3,6,3,6,6,3,3,3,3,3,6,3,3,6,6,12,6,6,6,6,6,6,3,3,3,3,
3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,8,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,4,4,4,3,1,
1,1,1],[1,1,9,9,18,18,16,2,6,1,6,1,4,3,3,3,18,6,3,9,3,18,9,3,18,9,6,6,12,9,9,
6,6,18,12,12,18,12,6,6,6,6,16,16,16,2,1,6,1,6,4,3,3,3,3,3,6,6,3,6,9,6,6,6,9,6,
6,3,6,3,6,6,3,3,6,3,3,3,6,6,6,12,12,6,3,3,6,6,3,3,6,6,6,6,6,12,6,6,12,12,6,6,
6,6,6,6,6,6,12,6,6,6,6,6,6,4,4,4,8,16,1,3,3,6,3,3,3,3,3,6,3,3,3,6,3,6,6,3,3,3,
3,3,6,3,3,6,6,12,6,6,6,6,6,6,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,8,1,3,
3,3,3,3,3,3,3,3,3,3,3,3,3,1,4,4,4,3,1,1,1,1],[1,1,21,21,6,6,16,2,1,1,4,6,3,3,
3,6,6,3,21,3,9,6,3,9,6,6,12,18,9,6,9,6,6,18,12,12,12,18,12,6,6,6,6,16,16,16,2,
1,1,6,4,3,3,3,3,3,6,3,6,9,6,6,6,6,6,9,6,6,3,3,6,6,6,3,3,6,3,3,3,6,6,6,12,12,6,
3,3,6,6,3,3,6,6,6,6,6,12,12,12,6,6,6,6,6,6,6,6,6,12,6,6,6,6,6,6,6,4,4,4,8,16,
1,3,3,6,3,3,3,3,3,6,3,3,3,3,3,3,3,3,3,3,6,6,6,6,3,6,6,6,6,6,12,6,6,6,3,3,3,3,
3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,8,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,4,4,4,3,1,
1,1,1],[1,1,21,21,6,6,16,2,1,1,6,4,3,3,3,6,6,3,21,3,6,9,3,6,9,6,18,12,6,9,6,9,
6,12,18,12,18,12,12,6,6,6,6,16,16,16,2,1,1,4,6,3,3,3,3,3,6,3,9,6,6,6,6,6,6,6,
9,6,3,3,6,6,6,3,3,6,3,3,3,6,6,6,12,12,6,3,3,6,6,3,3,6,6,6,6,6,12,12,12,6,6,6,
6,6,6,6,6,6,12,6,6,6,6,6,6,6,4,4,4,8,16,1,3,3,6,3,3,3,3,3,6,3,3,3,3,3,3,3,3,3,
3,6,6,6,6,3,6,6,6,6,6,12,6,6,6,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,8,1,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,4,4,4,3,1,1,1,1],[1,1,6,21,6,21,16,2,4,6,1,1,3,
3,3,3,6,21,6,6,12,18,6,9,9,6,6,9,9,6,6,3,3,12,18,12,12,18,6,6,12,6,6,16,16,16,
2,1,1,4,6,3,3,3,3,3,6,6,9,6,6,6,3,3,3,6,6,3,6,6,3,3,6,9,3,3,6,6,6,12,6,6,12,6,
6,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,6,12,6,6,6,6,6,6,4,4,4,8,
16,1,3,3,3,3,3,3,3,6,6,3,3,3,3,3,3,3,3,6,6,6,6,3,3,3,6,6,12,6,6,6,6,6,6,3,3,3,
3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,8,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,4,4,4,3,
1,1,1,1],[1,1,6,21,6,21,16,2,6,4,1,1,3,3,3,3,6,21,6,6,18,12,9,6,6,9,9,6,6,9,6,
3,3,12,12,18,18,12,6,6,12,6,6,16,16,16,2,1,1,6,4,3,3,3,3,3,6,9,6,6,6,6,3,3,3,
6,6,3,6,6,3,3,9,6,3,3,6,6,6,12,6,6,12,6,6,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,12,12,12,6,12,6,6,6,6,6,6,4,4,4,8,16,1,3,3,3,3,3,3,3,6,6,3,3,3,3,3,3,3,3,
6,6,6,6,3,3,3,6,6,12,6,6,6,6,6,6,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,8,
1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,4,4,4,3,1,1,1,1],[1,1,6,21,21,6,16,2,1,4,6,1,
6,3,3,3,21,3,6,6,9,9,6,6,12,18,3,9,6,3,6,6,9,18,12,18,12,12,6,6,6,6,12,16,16,
16,2,1,1,6,4,3,3,3,3,3,3,3,6,9,6,3,3,3,9,6,3,6,6,6,3,6,6,6,6,6,3,6,6,6,6,12,
12,6,6,6,6,3,3,6,3,3,6,6,6,6,6,6,12,12,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,6,4,4,
4,8,16,1,3,3,3,3,3,3,3,6,6,3,3,3,3,3,3,3,6,6,6,6,3,3,3,3,6,6,6,6,6,6,6,12,6,3,
3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,8,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,4,4,
4,3,1,1,1,1],[1,1,6,21,21,6,16,2,1,6,4,1,6,3,3,3,21,3,6,9,6,6,9,6,18,12,3,6,9,
3,6,9,6,12,18,12,18,12,6,6,6,6,12,16,16,16,2,1,1,4,6,3,3,3,3,3,3,3,9,6,6,3,3,
3,6,9,3,6,6,6,3,6,6,6,6,6,3,6,6,6,6,12,12,6,6,6,6,3,3,6,3,3,6,6,6,6,6,6,12,12,
6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,6,4,4,4,8,16,1,3,3,3,3,3,3,3,6,6,3,3,3,3,3,3,
3,6,6,6,6,3,3,3,3,6,6,6,6,6,6,6,12,6,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,
4,8,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,4,4,4,3,1,1,1,1],[1,1,18,9,18,9,16,2,4,6,
1,6,1,3,3,3,3,18,9,6,6,6,12,9,9,9,9,6,6,18,3,3,18,12,12,18,18,6,6,12,6,6,16,
16,16,2,1,6,1,6,4,3,3,3,3,3,6,6,9,6,6,3,3,3,6,6,6,3,6,3,3,9,3,3,6,6,6,6,12,6,
6,12,6,6,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,6,12,6,6,6,6,6,6,12,6,4,
4,4,8,16,1,3,3,3,3,3,3,3,6,6,3,3,3,6,3,3,6,3,3,3,3,3,6,3,6,6,6,6,6,6,6,12,6,6,
3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,8,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,4,
4,4,3,1,1,1,1],[1,1,18,9,18,9,16,2,4,1,6,1,6,3,3,3,3,18,9,6,6,6,12,9,9,9,9,6,
6,3,18,18,3,12,12,18,18,6,6,12,6,6,16,16,16,2,6,1,6,1,4,3,3,3,3,3,6,6,9,6,6,3,
3,3,6,6,6,3,6,3,3,9,3,3,6,6,6,6,12,6,6,12,6,6,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,12,12,6,12,6,6,6,6,6,6,12,6,4,4,4,8,16,1,3,3,3,3,3,3,3,6,6,3,3,3,6,3,3,
6,3,3,3,3,3,6,3,6,6,6,6,6,6,6,12,6,6,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,
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],[1,1,1,1,3,3,3,3,16,1,1,
3,3,3,3,3,3,3,3,3,3,3,12,12,16,16,16,1,1,1,3,3,3,3,6,6,6,6,6,6,12,12,12,12,4,
16,1,3,3,6,6,6,6,6,6,4,4,4,3,4,4,1,1,1],[1,1,1,1,3,3,3,3,16,1,1,3,3,3,3,3,3,3,
3,3,3,3,12,12,16,16,16,1,1,1,3,3,3,3,6,6,6,6,6,6,12,12,12,12,4,16,1,3,3,6,6,6,
6,6,6,4,4,4,3,4,4,1,1,1],[1,1,1,1,3,3,3,3,16,1,1,3,3,3,3,3,3,3,3,3,3,3,12,12,
16,16,16,1,1,1,3,3,3,3,6,6,6,6,6,6,12,12,12,12,4,16,1,3,3,6,6,6,6,6,6,4,4,4,3,
4,4,1,1,1],[1,1,1,1,15,15,15,15,10,1,5,15,15,15,15,15,15,15,15,15,30,6,10,10,
10,10,10,10,10,5,5,5,15,15,15,15,6,6,6,6,6,6,6,5,10,10,10,10,10,10,10,5,6,6,6,
6,6,6,6,5,5,5,10,6,5,1,1,1,1,1],[1,1,1,1,15,15,15,15,10,1,5,15,15,15,15,15,15,
15,15,15,30,6,10,10,10,10,10,10,10,5,5,5,15,15,15,15,6,6,6,6,6,6,6,5,10,10,10,
10,10,10,10,5,6,6,6,6,6,6,6,5,5,5,10,6,5,1,1,1,1,1],[1,1,1,1,15,15,15,15,10,1,
5,15,15,15,15,15,15,15,15,15,30,6,10,10,10,10,10,10,10,5,5,5,15,15,15,15,6,6,
6,6,6,6,6,5,10,10,10,10,10,10,10,5,6,6,6,6,6,6,6,5,5,5,10,6,5,1,1,1,1,1],[1,1,
1,1,15,15,15,15,10,1,5,15,15,15,15,15,15,15,15,15,30,6,10,10,10,10,10,10,10,5,
5,5,15,15,15,15,6,6,6,6,6,6,6,5,10,10,10,10,10,10,10,5,6,6,6,6,6,6,6,5,5,5,10,
6,5,1,1,1,1,1],[1,1,1,1,15,15,15,15,10,1,5,15,15,15,15,15,15,15,15,15,30,6,10,
10,10,10,10,10,10,5,5,5,15,15,15,15,6,6,6,6,6,6,6,5,10,10,10,10,10,10,10,5,6,
6,6,6,6,6,6,5,5,5,10,6,5,1,1,1,1,1],[1,1,1,1,15,15,15,15,10,1,5,15,15,15,15,
15,15,15,15,15,30,6,10,10,10,10,10,10,10,5,5,5,15,15,15,15,6,6,6,6,6,6,6,5,10,
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],[1,1,1,1,15,15,15,
15,10,1,5,15,15,15,15,15,15,15,15,15,15,15,6,10,10,10,10,10,10,10,5,5,5,15,15,
15,15,6,6,6,6,6,6,6,5,10,10,10,10,10,10,10,5,6,6,6,6,6,6,6,5,5,5,10,6,5,1,1,1,
1,1],[1,1,1,1,27,27,27,27,1,9,10,10,10,10,10,10,27,27,27,27,27,27,27,27,27,27,
27,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,60,60,60,60,60,60,12,
12,12,12,12,12,9,9,9,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,27,
15,15,15,15,27,15,15,27,27,15,15,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,
30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,
30,30,30,30,30,30,30,30,30,30,30,30,30,60,60,60,60,60,60,60,60,60,60,60,60,6,
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,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,9,6,6,10,10,10,10,
10,10,10,10,15,15,15,15,15,15,15,15,15,15,15,15,30,30,30,30,30,30,30,30,30,30,
30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,60,60,3,3,3,3,3,3,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
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,
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,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,10,10,10,10,10,10,15,15,3,3,3,3,3,3,3,3,3,3,3,3,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,3,3,3,4,4,4,
12,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,3,3,3,3,3,1],[1,1,1,1,9,9,9,9,
4,1,9,9,9,9,9,9,18,18,18,18,18,18,4,4,4,12,12,12,12,9,9,9,9,9,9,9,18,18,18,18,
18,18,1,4,12,12,12,12,12,12,9,9,9,1,1,1,1,1,1,1,12,9,1,1,1,1,1,1,1,2,2,2,2,2,
2,1,1,1,1,1,1,2,2,2,2,2,2,1,1,1,1,1],[1,1,25,25,10,10,5,5,10,5,5,5,10,5,25,15,
5,10,15,5,10,10,30,5,10,5,10,10,10,20,20,20,10,20,10,10,10,10,16,5,5,10,5,5,5,
5,5,10,5,10,10,5,10,10,5,10,10,5,10,5,10,5,5,5,5,5,10,10,10,10,5,5,10,10,5,5,
10,10,10,10,10,20,10,10,20,10,10,20,10,10,10,10,10,10,10,20,10,10,10,10,10,16,
16,16,1,5,5,5,5,5,5,5,5,5,5,10,5,5,10,10,5,5,5,5,5,10,5,10,10,10,20,10,10,10,
10,10,5,5,5,5,5,5,5,5,5,5,5,5,16,1,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,1,1,1,1,1],[
1,1,25,25,10,10,5,5,10,5,5,5,10,5,25,15,10,5,15,10,5,10,30,10,5,10,5,10,20,10,
20,10,20,20,10,10,10,10,16,5,5,10,5,5,5,5,5,10,5,10,5,10,10,10,10,5,10,5,10,5,
10,5,5,5,5,5,10,10,10,10,5,5,10,10,5,5,10,10,10,10,10,20,10,10,20,10,10,20,10,
10,10,10,10,10,10,20,10,10,10,10,10,16,16,16,1,5,5,5,5,5,5,5,5,5,5,10,5,5,10,
10,5,5,5,5,5,10,5,10,10,10,20,10,10,10,10,10,5,5,5,5,5,5,5,5,5,5,5,5,16,1,5,5,
5,5,5,5,5,5,5,5,5,5,5,5,5,1,1,1,1,1],[1,1,30,5,5,30,5,10,5,10,5,5,5,5,5,30,5,
5,10,10,30,15,5,15,30,10,10,5,10,10,20,20,10,10,10,10,20,16,5,10,5,10,5,5,5,5,
5,5,5,5,10,10,5,5,5,5,10,10,5,5,10,10,5,10,10,10,10,10,10,10,10,5,5,10,5,5,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,20,10,10,10,10,20,20,10,10,20,16,16,16,
1,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,10,10,5,5,10,10,5,10,10,10,10,10,10,10,10,20,
5,5,5,5,5,5,5,5,5,5,5,5,16,1,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,1,1,1,1,1],[1,1,30,
5,5,30,10,5,10,5,5,5,5,5,5,30,5,5,10,10,15,30,5,30,15,10,10,5,10,10,20,20,10,
10,10,10,20,16,10,5,10,5,5,5,5,5,5,5,5,5,10,10,5,5,5,5,10,10,5,5,10,10,5,10,
10,10,10,10,10,10,10,5,5,10,5,5,10,10,10,10,10,10,10,10,10,10,10,10,10,10,20,
10,10,10,10,20,20,10,10,20,16,16,16,1,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,10,10,5,5,
10,10,5,10,10,10,10,10,10,10,10,20,5,5,5,5,5,5,5,5,5,5,5,5,16,1,5,5,5,5,5,5,5,
5,5,5,5,5,5,5,5,1,1,1,1,1],[1,1,30,5,30,5,5,10,5,10,5,5,5,5,30,5,10,10,5,5,5,
5,10,10,15,30,30,15,20,20,10,10,10,10,20,10,10,16,10,5,10,5,5,5,5,5,5,10,10,5,
5,5,5,10,10,5,5,5,5,5,5,10,10,10,10,10,10,10,10,5,5,5,5,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,20,20,10,10,10,10,10,10,20,10,20,16,16,16,1,5,5,5,
5,5,5,5,5,5,5,5,10,10,10,10,5,5,5,5,5,5,5,10,10,10,10,20,10,10,10,10,5,5,5,5,
5,5,5,5,5,5,5,5,16,1,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,1,1,1,1,1],[1,1,30,5,30,5,
10,5,10,5,5,5,5,5,30,5,10,10,5,5,5,5,10,10,30,15,15,30,20,20,10,10,10,10,20,
10,10,16,5,10,5,10,5,5,5,5,5,10,10,5,5,5,5,10,10,5,5,5,5,5,5,10,10,10,10,10,
10,10,10,5,5,5,5,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,20,20,10,10,
10,10,10,10,20,10,20,16,16,16,1,5,5,5,5,5,5,5,5,5,5,5,10,10,10,10,5,5,5,5,5,5,
5,10,10,10,10,20,10,10,10,10,5,5,5,5,5,5,5,5,5,5,5,5,16,1,5,5,5,5,5,5,5,5,5,5,
5,5,5,5,5,1,1,1,1,1],[1,1,10,25,25,10,5,10,5,5,5,5,25,5,10,10,5,5,10,10,30,15,
5,10,15,10,10,5,10,20,10,20,20,10,10,10,10,20,16,5,5,10,5,5,5,5,5,5,5,10,5,10,
5,5,5,5,10,10,5,10,5,10,10,10,5,10,10,10,10,10,10,10,5,5,10,5,5,10,10,10,10,
10,10,20,10,10,10,10,10,10,10,10,10,10,20,20,10,10,20,10,10,16,16,16,1,5,5,5,
5,5,5,5,5,5,5,5,10,10,5,5,5,5,10,5,10,5,5,10,10,10,20,10,10,10,10,10,5,5,5,5,
5,5,5,5,5,5,5,5,16,1,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,1,1,1,1,1],[1,1,10,25,25,
10,5,10,5,5,5,5,25,5,10,5,10,10,5,10,30,15,10,5,15,10,5,10,20,10,20,10,20,10,
10,10,10,20,16,5,5,10,5,5,5,5,5,5,5,5,10,10,5,5,5,10,5,10,5,10,5,10,10,10,5,
10,10,10,10,10,10,10,5,5,10,5,5,10,10,10,10,10,10,20,10,10,10,10,10,10,10,10,
10,10,20,20,10,10,20,10,10,16,16,16,1,5,5,5,5,5,5,5,5,5,5,5,10,10,5,5,5,5,10,
5,10,5,5,10,10,10,20,10,10,10,10,10,5,5,5,5,5,5,5,5,5,5,5,5,16,1,5,5,5,5,5,5,
5,5,5,5,5,5,5,5,5,1,1,1,1,1],[1,1,5,5,30,30,5,10,5,10,5,5,5,30,5,5,30,15,5,30,
15,5,10,10,5,5,10,10,10,20,20,10,20,10,10,10,10,16,10,5,10,5,5,5,5,5,5,10,10,
5,10,10,5,5,10,10,5,10,10,5,5,5,5,5,5,10,10,10,10,5,5,10,10,5,5,10,10,10,10,
10,20,20,10,20,10,20,10,10,10,10,10,10,10,10,10,10,10,10,10,10,16,16,16,1,5,5,
5,5,5,5,5,5,5,5,5,10,10,5,5,5,5,5,10,10,5,5,10,10,10,10,10,10,10,10,20,5,5,5,
5,5,5,5,5,5,5,5,5,16,1,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,1,1,1,1,1],[1,1,5,5,30,
30,10,5,10,5,5,5,5,30,5,5,15,30,5,15,30,5,10,10,5,5,10,10,10,20,20,10,20,10,
10,10,10,16,5,10,5,10,5,5,5,5,5,10,10,5,10,10,5,5,10,10,5,10,10,5,5,5,5,5,5,
10,10,10,10,5,5,10,10,5,5,10,10,10,10,10,20,20,10,20,10,20,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,16,16,16,1,5,5,5,5,5,5,5,5,5,5,5,10,10,5,5,5,5,5,10,
10,5,5,10,10,10,10,10,10,10,10,20,5,5,5,5,5,5,5,5,5,5,5,5,16,1,5,5,5,5,5,5,5,
5,5,5,5,5,5,5,5,1,1,1,1,1],[1,1,10,25,10,25,10,5,5,5,5,5,5,10,25,10,30,5,10,
10,5,5,10,10,5,10,15,15,20,20,10,10,20,10,10,20,10,10,16,5,5,10,5,5,5,5,5,10,
5,10,10,5,5,5,10,5,10,5,5,5,10,5,5,10,10,10,10,10,10,10,5,5,5,5,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,20,10,10,20,10,20,10,10,10,10,20,10,10,16,16,16,
1,5,5,5,5,5,5,5,5,5,5,5,5,5,10,5,5,5,10,5,5,10,10,10,10,10,10,10,20,10,10,10,
5,5,5,5,5,5,5,5,5,5,5,5,16,1,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,1,1,1,1,1],[1,1,10,
25,10,25,10,5,5,5,5,5,5,10,25,10,30,10,5,5,10,10,5,5,10,10,15,15,20,10,20,20,
10,10,10,20,10,10,16,5,5,10,5,5,5,5,5,10,10,5,10,5,5,5,10,5,10,5,5,10,5,5,5,
10,10,10,10,10,10,10,5,5,5,5,10,10,10,10,10,10,10,10,10,10,10,10,10,10,20,10,
10,20,10,20,10,10,10,10,20,10,10,16,16,16,1,5,5,5,5,5,5,5,5,5,5,5,5,5,10,5,5,
5,10,5,5,10,10,10,10,10,10,10,20,10,10,10,5,5,5,5,5,5,5,5,5,5,5,5,16,1,5,5,5,
5,5,5,5,5,5,5,5,5,5,5,5,1,1,1,1,1],[1,1,1,1,15,15,15,15,1,5,10,10,10,15,15,15,
15,15,15,15,15,15,15,15,30,30,30,30,30,30,30,30,30,60,60,60,16,5,5,5,10,10,10,
10,10,10,10,10,10,15,15,15,15,15,15,15,15,30,30,30,30,30,30,30,30,30,30,30,30,
30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,60,60,60,60,60,60,16,16,16,5,6,
10,10,10,10,15,15,15,15,15,15,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,60,
16,6,6,6,10,10,10,15,1,1,1,1,1,1],[1,1,1,1,15,15,15,15,1,5,10,10,10,15,15,15,
15,15,15,15,15,15,15,15,30,30,30,30,30,30,30,30,30,60,60,60,16,5,5,5,10,10,10,
10,10,10,10,10,10,15,15,15,15,15,15,15,15,30,30,30,30,30,30,30,30,30,30,30,30,
30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,60,60,60,60,60,60,16,16,16,5,6,
10,10,10,10,15,15,15,15,15,15,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,60,
16,6,6,6,10,10,10,15,1,1,1,1,1,1],[1,1,21,21,28,7,7,21,21,21,21,21,28,28,28,8,
7,7,21,21,21,21,21,7,7,28,8,21,8,7,7,7,7,7,7,8,7,7,1,1],[1,1,21,21,28,7,7,21,
21,21,21,21,28,28,28,8,7,7,21,21,21,21,21,7,7,28,8,21,8,7,7,7,7,7,7,8,7,7,1,
1],[1,1,21,21,28,7,7,21,21,21,21,21,28,28,28,8,7,7,21,21,21,21,21,7,7,28,8,21,
8,7,7,7,7,7,7,8,7,7,1,1],[1,1,21,21,28,7,7,21,21,21,21,21,28,28,28,8,7,7,21,
21,21,21,21,7,7,28,8,21,8,7,7,7,7,7,7,8,7,7,1,1],[1,1,21,21,28,7,7,21,21,21,
42,28,28,28,8,7,7,21,21,21,21,21,7,7,28,8,21,8,7,7,7,7,7,7,8,7,7,1,1],[1,1,21,
21,28,7,7,21,21,21,21,21,28,28,28,8,7,7,21,21,21,21,21,7,7,28,8,21,8,7,7,7,7,
7,7,8,7,7,1,1],[1,1,21,21,28,7,7,21,21,21,42,28,28,28,8,7,7,21,21,21,21,21,7,
7,28,8,21,8,7,7,7,7,7,7,8,7,7,1,1],[1,1,21,21,28,7,7,21,21,21,42,28,28,28,8,7,
7,21,21,21,21,21,7,7,28,8,21,8,7,7,7,7,7,7,8,7,7,1,1],[1,1,21,21,28,7,7,21,21,
21,21,21,28,28,28,8,7,7,21,21,21,21,21,7,7,28,8,21,8,7,7,7,7,7,7,8,7,7,1,1],[
1,45,40,15,15,45,36,120,45,10,36,15,15,10,15,15,10,6,6,1],[1,45,40,15,15,45,
36,120,45,10,36,15,15,10,15,15,10,6,6,1],[1,45,40,15,15,45,36,120,45,10,36,15,
15,10,15,15,10,6,6,1],[1,1,1,1,27,27,27,27,16,1,5,10,6,10,6,10,6,15,15,15,27,
15,27,27,27,15,27,27,18,30,30,18,18,30,30,18,18,30,30,18,30,18,30,18,18,30,60,
36,60,36,36,60,12,12,12,12,12,12,16,16,16,16,16,16,16,5,5,5,6,10,10,6,6,10,6,
10,10,6,6,10,6,10,6,10,10,6,15,15,3,15,3,15,15,3,27,15,3,15,30,18,6,30,6,30,
18,30,18,30,18,30,18,30,30,6,30,6,30,6,30,18,30,18,6,30,6,30,30,18,6,30,30,6,
30,6,30,6,30,6,18,30,6,30,30,6,30,6,30,6,6,30,6,30,60,12,60,12,12,60,12,60,60,
12,60,12,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,
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,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,4,4,4,8,
16,16,16,16,16,16,16,5,6,6,10,6,10,10,6,10,3,15,15,3,15,3,3,15,15,3,15,3,6,30,
30,6,30,30,6,30,6,30,30,6,30,30,30,6,30,30,30,6,6,30,30,6,60,3,3,3,3,3,3,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
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,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,8,8,8,16,6,6,6,10,10,10,3,15,3,3,3,3,3,3,3,3,3,3,3,3,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,3,3,3,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,1,3,3,3,3,3,3,6,6,6,6,6,6,6,6,
6,6,6,6,1,1,1,1,1,1,1,4,4,4,3,1,1,1,1,1,1,1,1],[1,1,1,1,27,27,27,27,16,1,5,6,
10,6,10,6,10,15,15,15,27,15,27,27,27,15,27,27,30,18,18,30,30,18,18,30,30,18,
18,30,18,30,18,30,30,18,36,60,36,60,60,36,12,12,12,12,12,12,16,16,16,16,16,16,
16,5,5,5,10,6,6,10,10,6,10,6,6,10,10,6,10,6,10,6,6,10,15,3,15,3,15,15,3,15,27,
15,15,3,18,30,30,6,30,6,30,18,30,18,30,18,30,18,6,30,6,30,6,30,18,30,18,30,30,
6,30,6,18,30,30,6,6,30,6,30,6,30,6,30,30,18,30,6,6,30,6,30,6,30,30,6,30,6,12,
60,12,60,60,12,60,12,12,60,12,60,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,
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,
12,12,12,12,12,4,4,4,8,16,16,16,16,16,16,16,5,6,10,6,10,6,6,10,10,15,3,3,15,3,
15,15,3,3,15,3,15,30,6,30,30,6,30,30,6,30,6,30,30,6,30,30,30,6,30,6,30,30,6,6,
30,60,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
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,
12,12,12,12,12,12,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,16,6,6,6,10,10,10,15,3,3,3,3,3,3,3,3,3,3,
3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,3,3,3,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,1,3,3,3,3,
3,3,6,6,6,6,6,6,6,6,6,6,6,6,1,1,1,1,1,1,1,4,4,4,3,1,1,1,1,1,1,1,1],[1,1,1,1,
35,35,35,35,1,5,10,10,10,10,10,10,15,15,15,35,15,35,35,35,15,35,35,30,30,30,
30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,60,60,60,60,60,60,20,20,20,20,20,
20,16,5,5,5,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,15,15,5,15,
5,15,15,5,35,15,5,15,30,30,10,30,10,30,30,30,30,30,30,30,30,30,30,10,30,10,30,
10,30,30,30,30,10,30,10,30,30,30,10,30,30,10,30,10,30,10,30,10,30,30,10,30,30,
10,30,10,30,10,10,30,10,30,60,20,60,20,20,60,20,60,60,20,60,20,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,20,20,20,20,20,20,20,20,20,20,20,20,20,
20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,
20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,16,16,16,16,16,
16,16,5,6,10,10,10,10,10,10,10,5,15,15,5,15,5,5,15,15,5,15,5,10,30,30,10,30,
30,10,30,10,30,30,10,30,30,30,10,30,30,30,10,10,30,30,10,60,5,5,5,5,5,5,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,20,20,20,20,20,20,20,20,20,20,20,20,20,20,
20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,
20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,16,16,16,16,16,16,16,6,
6,6,10,10,10,5,15,5,5,5,5,5,5,5,5,5,5,5,5,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,20,20,20,20,20,20,5,5,5,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,16,1,5,5,5,5,5,5,10,10,
10,10,10,10,10,10,10,10,10,10,1,5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,1,1,35,
35,35,35,1,5,10,10,10,10,10,10,15,15,15,35,15,35,35,35,15,35,35,30,30,30,30,
30,30,30,30,30,30,30,30,30,30,30,30,30,30,60,60,60,60,60,60,20,20,20,20,20,20,
16,5,5,5,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,15,5,15,5,15,
15,5,15,35,15,15,5,30,30,30,10,30,10,30,30,30,30,30,30,30,30,10,30,10,30,10,
30,30,30,30,30,30,10,30,10,30,30,30,10,10,30,10,30,10,30,10,30,30,30,30,10,10,
30,10,30,10,30,30,10,30,10,20,60,20,60,60,20,60,20,20,60,20,60,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,20,20,20,20,20,20,20,20,20,20,20,20,20,
20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,
20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,16,16,16,16,16,
16,16,5,6,10,10,10,10,10,10,10,15,5,5,15,5,15,15,5,5,15,5,15,30,10,30,30,10,
30,30,10,30,10,30,30,10,30,30,30,10,30,10,30,30,10,10,30,60,5,5,5,5,5,5,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,20,20,20,20,20,20,20,20,20,20,20,20,20,20,
20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,
20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,16,16,16,16,16,16,16,6,
6,6,10,10,10,15,5,5,5,5,5,5,5,5,5,5,5,5,5,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,20,20,20,20,20,20,5,5,5,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,16,1,5,5,5,5,5,5,10,10,
10,10,10,10,10,10,10,10,10,10,1,5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,1,1,21,
21,21,21,28,1,7,7,21,21,21,21,21,21,21,21,21,21,21,21,42,42,42,42,28,28,28,28,
28,28,28,8,7,7,7,7,7,7,21,21,21,21,21,21,21,21,21,42,42,21,21,21,21,21,21,21,
21,21,21,21,21,21,21,21,21,7,7,28,28,28,28,28,28,28,8,8,8,7,7,21,21,21,21,21,
21,21,21,21,21,21,21,21,8,7,7,7,7,7,7,7,7,7,7,7,7,7,7,28,8,21,8,8,8,7,7,7,7,7,
7,7,7,7,7,7,7,7,7,8,7,7,1,1,1,1,1],[1,1,1,1,21,21,21,21,28,1,7,7,21,21,21,21,
21,21,21,21,21,21,21,21,42,42,42,42,28,28,28,28,28,28,28,8,7,7,7,7,7,7,21,21,
21,21,21,21,21,21,21,42,42,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,7,
7,28,28,28,28,28,28,28,8,8,8,7,7,21,21,21,21,21,21,21,21,21,21,21,21,21,8,7,7,
7,7,7,7,7,7,7,7,7,7,7,7,28,8,21,8,8,8,7,7,7,7,7,7,7,7,7,7,7,7,7,7,8,7,7,1,1,1,
1,1],[1,1,1,1,21,21,21,21,28,1,7,7,21,21,21,21,21,21,21,21,21,21,21,21,42,42,
42,42,28,28,28,28,28,28,28,8,7,7,7,7,7,7,21,21,21,21,21,21,21,21,21,42,42,21,
21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,7,7,28,28,28,28,28,28,28,8,8,8,7,
7,21,21,21,21,21,21,21,21,21,21,21,21,21,8,7,7,7,7,7,7,7,7,7,7,7,7,7,7,28,8,
21,8,8,8,7,7,7,7,7,7,7,7,7,7,7,7,7,7,8,7,7,1,1,1,1,1],[1,1,45,45,40,15,15,45,
45,45,90,36,40,120,120,15,15,45,45,45,45,45,10,36,36,36,15,15,120,45,10,10,10,
36,15,15,15,15,15,15,10,20,15,15,6,6,10,6,6,1,1],[1,1,45,45,40,15,15,45,45,45,
90,36,40,120,120,15,15,45,45,45,45,45,10,36,36,36,15,15,120,45,10,10,10,36,15,
15,15,15,15,15,10,20,15,15,6,6,10,6,6,1,1],[1,1,45,45,40,15,15,45,45,45,45,45,
36,40,120,120,15,15,45,45,45,45,45,10,36,36,36,15,15,120,45,10,10,10,36,15,15,
15,15,15,15,10,10,10,15,15,6,6,10,6,6,1,1],[1,1,45,45,40,15,15,45,45,45,45,45,
36,40,120,120,15,15,45,45,45,45,45,10,36,36,36,15,15,120,45,10,10,10,36,15,15,
15,15,15,15,10,10,10,15,15,6,6,10,6,6,1,1],[1,1,45,45,40,15,15,45,45,45,45,45,
36,40,120,120,15,15,45,45,45,45,45,10,36,36,36,15,15,120,45,10,10,10,36,15,15,
15,15,15,15,10,10,10,15,15,6,6,10,6,6,1,1],[1,1,45,45,40,15,15,45,45,45,90,36,
40,120,120,15,15,45,45,45,45,45,10,36,36,36,15,15,120,45,10,10,10,36,15,15,15,
15,15,15,10,20,15,15,6,6,10,6,6,1,1],[1,1,45,45,40,15,15,45,45,45,45,45,36,40,
120,120,15,15,45,45,45,45,45,10,36,36,36,15,15,120,45,10,10,10,36,15,15,15,15,
15,15,10,10,10,15,15,6,6,10,6,6,1,1],[1,1,45,45,40,15,15,45,45,45,45,45,36,40,
120,120,15,15,45,45,45,45,45,10,36,36,36,15,15,120,45,10,10,10,36,15,15,15,15,
15,15,10,10,10,15,15,6,6,10,6,6,1,1],[1,1,45,45,40,15,15,45,45,45,45,45,36,40,
120,120,15,15,45,45,45,45,45,10,36,36,36,15,15,120,45,10,10,10,36,15,15,15,15,
15,15,10,10,10,15,15,6,6,10,6,6,1,1],[1,1,1,1,27,27,27,27,64,1,9,10,10,10,10,
10,10,27,27,27,27,27,27,27,27,27,27,27,30,30,30,30,30,30,30,30,30,30,30,30,30,
30,30,30,30,30,60,60,60,60,60,60,12,12,12,12,12,12,64,64,64,9,9,9,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,27,15,15,15,15,27,15,15,27,27,15,15,
30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,
30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,
30,30,60,60,60,60,60,60,60,60,60,60,60,60,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
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,
12,12,12,12,12,12,12,12,16,16,16,16,16,16,48,64,9,6,6,10,10,10,10,10,10,10,10,
15,15,15,15,15,15,15,15,15,15,15,15,30,30,30,30,30,30,30,30,30,30,30,30,30,30,
30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,60,60,3,3,3,3,3,3,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
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,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,6,6,6,6,6,6,
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,
6,6,6,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,48,48,48,6,6,6,6,
6,6,10,10,10,10,10,10,15,15,3,3,3,3,3,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,3,3,3,4,4,4,12,6,6,6,6,6,6,6,6,6,6,6,
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,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,4,4,16,16,16,16,16,16,48,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,4,4,4,4,4,4,4,4,4,3,3,3,3,3,4,
4,4,4,4,1,1],[1,1,1,1,45,45,45,45,40,1,15,15,45,45,45,45,45,45,45,45,45,45,45,
45,90,90,90,90,36,40,40,40,120,120,120,120,15,15,15,15,15,15,45,45,45,45,45,
45,45,45,45,90,90,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,10,36,36,36,
36,36,36,36,15,15,40,120,120,120,120,120,120,15,15,45,45,45,45,45,45,45,45,45,
45,45,45,45,10,10,10,10,10,10,10,36,36,36,36,36,36,36,15,15,15,15,15,15,15,15,
15,15,15,15,15,15,120,45,10,10,10,10,10,10,10,20,20,36,15,15,15,15,15,15,15,
15,15,15,15,15,15,15,6,6,10,10,20,20,10,15,15,6,6,6,6,6,6,10,6,6,1,1,1,1,1],[
1,1,1,1,45,45,45,45,40,1,15,15,45,45,45,45,45,45,45,45,45,45,45,45,90,90,90,
90,36,40,40,40,120,120,120,120,15,15,15,15,15,15,45,45,45,45,45,45,45,45,45,
90,90,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,10,36,36,36,36,36,36,36,
15,15,40,120,120,120,120,120,120,15,15,45,45,45,45,45,45,45,45,45,45,45,45,45,
10,10,10,10,10,10,10,36,36,36,36,36,36,36,15,15,15,15,15,15,15,15,15,15,15,15,
15,15,120,45,10,10,10,10,10,10,10,20,20,36,15,15,15,15,15,15,15,15,15,15,15,
15,15,15,6,6,10,10,20,20,10,15,15,6,6,6,6,6,6,10,6,6,1,1,1,1,1],[1,1,1,1,45,
45,45,45,40,1,15,15,45,45,45,45,45,45,45,45,45,45,45,45,90,90,90,90,36,40,40,
40,120,120,120,120,15,15,15,15,15,15,45,45,45,45,45,45,45,45,45,90,90,45,45,
45,45,45,45,45,45,45,45,45,45,45,45,45,45,10,36,36,36,36,36,36,36,15,15,40,
120,120,120,120,120,120,15,15,45,45,45,45,45,45,45,45,45,45,45,45,45,10,10,10,
10,10,10,10,36,36,36,36,36,36,36,15,15,15,15,15,15,15,15,15,15,15,15,15,15,
120,45,10,10,10,10,10,10,10,20,20,36,15,15,15,15,15,15,15,15,15,15,15,15,15,
15,6,6,10,10,20,20,10,15,15,6,6,6,6,6,6,10,6,6,1,1,1,1,1],[1,1,1,1,75,75,75,
75,160,1,25,50,10,50,10,50,10,75,75,75,75,75,75,75,75,75,75,75,30,150,150,30,
30,150,150,30,30,150,150,30,150,30,150,30,30,150,300,60,300,60,60,300,60,60,
60,60,60,60,96,160,160,160,160,160,160,160,25,25,25,10,50,50,10,10,50,10,50,
50,10,10,50,10,50,10,50,50,10,75,75,15,75,15,75,75,15,75,75,15,75,150,30,30,
150,30,150,30,150,30,150,30,150,30,150,150,30,150,30,150,30,150,30,150,30,30,
150,30,150,150,30,30,150,150,30,150,30,150,30,150,30,30,150,30,150,150,30,150,
30,150,30,30,150,30,150,300,60,300,60,60,300,60,300,300,60,300,60,30,30,30,30,
30,30,30,30,30,30,30,30,30,30,30,30,30,30,60,60,60,60,60,60,60,60,60,60,60,60,
60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,
60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,96,96,96,96,
96,96,96,80,40,80,40,40,80,160,160,160,160,160,160,160,160,25,6,30,10,50,10,
50,50,10,10,50,15,75,75,15,75,15,15,75,75,15,75,15,30,150,150,30,30,150,30,
150,30,150,30,150,150,30,30,150,30,150,150,30,30,150,150,30,150,30,30,150,150,
30,300,60,15,15,15,15,15,15,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,
30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,
30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,60,60,
60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,
60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,
60,60,60,60,60,60,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,
30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,
30,30,96,96,96,96,96,96,96,40,40,40,40,40,40,40,40,40,40,40,40,80,40,80,40,80,
40,80,40,80,40,80,40,80,40,80,40,40,80,160,160,160,160,6,30,30,6,6,30,10,50,
50,10,50,10,15,75,15,15,15,15,15,15,15,15,15,15,15,15,30,30,30,30,30,30,30,30,
30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,60,60,60,60,60,60,15,15,15,20,
20,20,60,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,
30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,
30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,
30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,96,
10,20,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,80,40,80,40,80,
160,16,16,16,16,1,5,5,5,5,15,15,15,15,15,15,15,15,15,15,30,30,30,30,30,30,30,
30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,6,10,10,10,10,20,10,20,10,
10,20,20,20,20,40,40,40,16,16,16,16,16,16,16,16,16,16,16,16,15,15,15,15,15,6,
6,6,6,6,6,6,20,10,10,10,10,10,10,10,20,20,20,16,16,16,16,5,6,6,6,6,6,6,6,10,6,
5,1],[1,1,1,1,75,75,75,75,160,1,25,10,50,10,50,10,50,75,75,75,75,75,75,75,75,
75,75,75,150,30,30,150,150,30,30,150,150,30,30,150,30,150,30,150,150,30,60,
300,60,300,300,60,60,60,60,60,60,60,96,160,160,160,160,160,160,160,25,25,25,
50,10,10,50,50,10,50,10,10,50,50,10,50,10,50,10,10,50,75,15,75,15,75,75,15,75,
75,75,75,15,30,150,150,30,150,30,150,30,150,30,150,30,150,30,30,150,30,150,30,
150,30,150,30,150,150,30,150,30,30,150,150,30,30,150,30,150,30,150,30,150,150,
30,150,30,30,150,30,150,30,150,150,30,150,30,60,300,60,300,300,60,300,60,60,
300,60,300,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,60,60,60,60,
60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,
60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,
60,60,60,60,96,96,96,96,96,96,96,40,80,40,80,80,40,160,160,160,160,160,160,
160,160,25,30,6,50,10,50,10,10,50,50,10,75,15,15,75,15,75,75,15,15,75,15,75,
150,30,30,150,150,30,150,30,150,30,150,30,30,150,150,30,150,30,30,150,150,30,
30,150,30,150,150,30,30,150,60,300,15,15,15,15,15,15,30,30,30,30,30,30,30,30,
30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,
30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,
30,30,30,30,30,30,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,
60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,
60,60,60,60,60,60,60,60,60,60,60,60,60,60,30,30,30,30,30,30,30,30,30,30,30,30,
30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,
30,30,30,30,30,30,30,30,30,30,96,96,96,96,96,96,96,40,40,40,40,40,40,40,40,40,
40,40,40,40,80,40,80,40,80,40,80,40,80,40,80,40,80,40,80,80,40,160,160,160,
160,30,6,6,30,30,6,50,10,10,50,10,50,75,15,15,15,15,15,15,15,15,15,15,15,15,
15,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,60,
60,60,60,60,60,15,15,15,20,20,20,60,30,30,30,30,30,30,30,30,30,30,30,30,30,30,
30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,
30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,
30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,
30,30,30,30,30,30,30,30,96,20,10,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,
40,40,40,80,40,80,40,80,40,160,16,16,16,16,5,1,5,5,5,15,15,15,15,15,15,15,15,
15,15,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,
6,10,10,10,10,10,20,10,20,20,10,20,20,20,40,40,40,16,16,16,16,16,16,16,16,16,
16,16,16,15,15,15,15,15,6,6,6,6,6,6,6,10,20,10,10,10,10,10,10,20,20,20,16,16,
16,16,5,6,6,6,6,6,6,6,10,6,5,1],[1,1,1,1,315,315,315,315,1120,1,105,210,210,
210,210,210,210,315,315,315,315,315,315,315,315,315,315,315,630,630,630,630,
630,630,630,630,630,630,630,630,630,630,630,630,630,630,1260,1260,1260,1260,
1260,1260,1260,1260,1260,1260,1260,1260,2016,1120,1120,1120,3360,3360,3360,
3360,960,105,105,105,210,210,210,210,210,210,210,210,210,210,210,210,210,210,
210,210,210,210,315,315,315,315,315,315,315,315,315,315,315,315,630,630,630,
630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,
630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,
630,630,630,630,630,630,630,630,630,630,630,630,630,1260,1260,1260,1260,1260,
1260,1260,1260,1260,1260,1260,1260,630,630,630,630,630,630,630,630,630,630,
630,630,630,630,630,630,630,630,1260,1260,1260,1260,1260,1260,1260,1260,1260,
1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,
1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,
1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,
1260,1260,1260,1260,1260,1260,280,2016,2016,2016,2016,2016,2016,2016,840,840,
840,840,840,840,1680,1120,3360,3360,3360,3360,3360,3360,960,960,960,105,126,
126,210,210,210,210,210,210,210,210,315,315,315,315,315,315,315,315,315,315,
315,315,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,
630,630,630,630,630,630,630,630,630,630,630,630,630,1260,1260,315,315,315,315,
315,315,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,
630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,
630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,
630,630,630,630,630,630,630,630,630,630,630,1260,1260,1260,1260,1260,1260,
1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,
1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,
1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,
1260,1260,1260,1260,1260,1260,1260,1260,1260,630,630,630,630,630,630,630,630,
630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,
630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,
630,630,280,280,280,280,280,280,280,2016,2016,2016,2016,2016,2016,2016,960,
840,840,840,840,840,840,840,840,840,840,840,840,840,840,840,840,840,840,840,
840,840,840,840,840,840,840,840,840,840,840,840,840,840,840,840,840,840,840,
840,840,840,840,1680,1680,1680,3360,960,126,126,126,126,126,126,210,210,210,
210,210,210,315,315,315,315,315,315,315,315,315,315,315,315,315,315,630,630,
630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,
630,630,630,1260,1260,1260,1260,1260,1260,315,315,315,420,420,420,1260,630,
630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,
630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,
630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,
630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,
630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,
630,630,630,630,280,280,280,280,280,280,280,560,560,560,560,560,560,2016,960,
960,960,210,210,840,840,840,840,840,840,840,840,840,840,840,840,840,840,840,
840,840,840,840,840,840,840,840,840,840,840,840,840,840,840,840,840,840,840,
840,840,840,840,840,840,840,840,1680,336,336,336,336,336,336,336,21,21,105,
105,105,315,315,315,315,315,315,315,315,315,315,630,630,630,630,630,630,630,
630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,280,280,
280,280,280,280,560,560,560,560,560,560,280,126,126,960,210,210,210,210,210,
210,210,210,210,210,210,210,210,210,420,420,420,840,840,840,840,840,840,336,
336,336,336,336,336,336,336,336,336,336,336,336,336,336,336,336,336,336,336,
336,315,315,315,315,315,280,280,280,126,126,126,126,126,126,126,126,126,126,
126,126,126,126,120,120,120,210,210,210,210,210,210,210,210,210,210,210,210,
210,210,420,420,420,336,336,336,336,336,336,336,105,280,126,126,126,126,126,
126,126,126,126,126,126,126,126,126,120,120,120,120,120,120,120,120,120,56,56,
56,210,210,126,126,120,120,120,56,56,56,56,56,56,56,56,56,105,56,56,56,21,21,
1]],
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4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,5,6,6,6,6,6,6,6,7,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,9,10,10,10,10,10,10,10,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,14,14,14,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,18,18,18,18,18,18,18,20,20,20,20,20,20,20,21,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,28,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,36,36,
36,36,36,36,36,36,36,36,36,36,36,40,42,42,42,48,48,48,48,48,48,48,48,48,48,48,
48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,
48,48,48,48,48,48,48,48,60,60,60,60,60,60,60,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,72,72,72,72,72,72,72,72,72,72,72,72,72,80,80,84,96,96,96,96,96,96,96,96,
96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,120,120,120,120,120,120,120,120,
120,120,120,120,120,120,120,120,120,120,120,120,120,128,128,128,128,128,144,
144,144,160,160,160,160,160,160,160,160,160,160,160,160,160,160,168,168,168,
192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,240,240,
240,240,240,240,240,256,288,320,320,320,320,320,320,320,320,320,320,320,320,
320,320,336,336,336,336,336,336,336,336,336,360,360,360,384,384,640,640,672,
672,672,720,720,720,720,720,720,720,720,720,768,1440,1440,1440,3840,3840,
80640],
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947,947,947,947,947,947,947,947,947,902,901,901,902,902,901,901,902,902,901,
901,902,901,902,901,902,902,901,800,799,800,799,799,800,811,811,812,812,813,
813,743,850,850,850,565,565,565,565,853,991,991,991,976,975,975,976,976,975,
976,975,975,976,976,975,976,975,976,975,975,976,947,947,947,947,947,947,947,
947,947,947,947,947,901,902,902,901,902,901,902,901,902,901,902,901,902,901,
901,902,901,902,901,902,901,902,901,902,902,901,902,901,901,902,902,901,901,
902,901,902,901,902,901,902,902,901,902,901,901,902,901,902,901,902,902,901,
902,901,800,799,800,799,799,800,799,800,800,799,800,799,902,901,902,901,902,
901,901,902,900,900,898,898,901,902,901,902,899,899,812,813,813,813,812,812,
811,811,811,813,812,811,811,811,811,811,811,811,811,813,813,811,813,813,811,
811,811,812,812,811,811,812,812,812,812,812,813,812,812,811,812,812,812,813,
813,813,813,811,811,813,813,813,813,812,812,812,813,813,813,812,948,743,743,
743,743,743,743,743,873,874,872,871,875,876,791,850,565,565,565,565,565,565,
853,853,853,991,978,977,976,975,976,975,975,976,976,975,947,947,947,947,947,
947,947,947,947,947,947,947,902,901,901,902,902,901,902,901,902,901,902,901,
901,902,902,901,902,901,901,902,902,901,901,902,901,902,902,901,901,902,800,
799,947,947,947,947,947,947,901,902,899,902,901,899,901,902,901,902,900,898,
900,898,901,902,901,902,901,902,901,902,901,902,902,901,901,902,902,901,902,
901,901,902,901,902,902,901,901,902,902,901,902,901,901,902,901,902,901,902,
901,902,901,902,901,902,901,902,902,901,901,902,901,902,902,901,813,813,811,
811,811,811,813,813,811,811,813,812,812,812,811,811,812,811,811,813,812,812,
813,813,812,813,813,813,813,813,812,812,812,812,811,811,812,811,812,812,811,
811,811,811,811,812,812,811,811,813,813,812,812,813,813,813,812,813,813,812,
901,901,902,902,902,901,901,902,902,901,901,902,901,901,902,902,901,901,902,
902,901,902,902,901,902,902,902,901,902,901,901,901,901,901,901,902,902,902,
901,902,902,901,901,902,902,901,902,901,948,948,948,948,948,948,948,743,743,
743,743,743,743,743,853,871,872,871,872,871,872,876,875,873,874,876,875,872,
871,876,875,873,874,873,874,873,874,876,875,876,875,876,875,872,871,873,874,
873,874,872,871,872,871,873,874,875,876,791,791,791,565,853,978,977,977,978,
978,977,976,975,975,976,975,976,947,947,947,947,947,947,947,947,947,947,947,
947,947,947,901,902,902,901,901,902,901,902,901,902,902,901,901,902,902,901,
902,901,901,902,902,901,902,901,813,813,812,811,811,812,947,947,947,939,937,
938,804,902,901,902,901,902,901,901,902,901,902,901,902,902,901,902,901,901,
902,902,901,901,902,902,901,901,902,901,902,901,902,902,901,901,902,901,902,
902,901,901,902,902,901,902,901,901,902,901,902,902,901,901,902,901,902,902,
901,901,902,901,902,901,902,902,901,901,901,902,902,901,901,902,902,902,901,
902,901,901,902,901,902,901,902,902,901,902,901,902,901,902,902,901,901,902,
902,901,901,901,902,902,901,948,948,948,948,948,948,948,904,904,905,905,903,
903,743,853,853,853,976,975,875,876,871,872,875,876,875,876,874,873,874,873,
874,873,871,872,871,872,875,876,873,874,871,872,873,874,875,876,874,873,876,
875,871,872,872,871,875,876,874,873,871,872,791,946,944,945,940,941,942,943,
995,996,991,991,991,947,947,947,947,947,947,947,947,947,947,901,902,902,901,
902,901,902,901,902,901,902,901,901,902,902,901,902,901,902,901,901,902,902,
901,948,948,948,948,948,948,905,903,904,905,903,904,948,977,978,853,975,976,
975,976,975,976,975,976,975,976,975,976,976,975,939,938,937,871,872,873,874,
875,876,944,945,940,941,944,945,944,945,943,942,943,942,946,940,941,946,943,
942,941,940,946,947,947,947,947,947,948,948,948,978,977,978,977,977,978,977,
978,977,978,977,978,978,977,981,979,980,975,976,976,975,975,976,975,976,975,
976,975,976,976,975,937,938,939,940,941,942,943,944,945,946,991,948,977,978,
977,978,977,978,977,978,977,978,978,977,978,977,981,979,980,979,979,981,980,
981,980,993,992,994,975,976,977,978,979,980,981,992,994,994,992,993,993,992,
993,994,991,992,993,994,995,996,997],
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1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,9,9,9,9,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,5,5,5,5,5,5,5,7,7,5,7,7,5,5,5,8,8,5,5,8,8,8,8,8,7,8,8,5,8,8,8,7,7,7,7,5,5,
7,7,7,7,8,8,8,7,7,7,8,1,1,1,1,59,59,59,59,12,13,16,17,15,14,11,1,9,9,9,9,9,9,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,5,5,7,7,7,7,8,8,5,5,5,5,5,5,8,8,8,8,8,8,8,8,7,7,7,7,8,8,7,7,7,7,5,5,7,
7,5,5,5,5,5,5,8,8,7,7,8,8,7,7,5,5,5,5,7,7,5,5,7,8,8,8,5,5,8,5,5,7,8,8,7,7,8,7,
7,7,7,7,8,8,8,8,5,5,8,5,8,8,5,5,5,5,5,8,8,5,5,7,7,8,8,7,7,7,8,7,7,8,8,8,8,8,8,
8,8,8,5,5,5,5,5,5,5,5,8,8,8,8,8,8,8,8,5,5,5,5,5,5,5,5,7,7,7,7,7,7,7,7,7,7,7,7,
7,7,7,7,245,245,245,245,1,1,1,59,59,59,59,59,59,1,67,256,255,256,255,256,255,
258,257,253,254,258,257,255,256,258,257,253,254,253,254,253,254,258,257,14,15,
14,15,16,17,12,13,12,13,16,17,16,17,12,13,15,14,11,11,11,9,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,7,7,8,7,5,8,8,5,7,8,5,5,5,5,7,7,5,5,5,5,5,5,7,7,8,8,8,8,8,8,7,7,7,
7,8,8,7,7,8,5,5,8,1,1,1,2,4,3,6,19,20,19,20,19,20,20,19,20,19,20,19,19,20,19,
20,20,19,19,20,20,19,19,20,20,19,20,19,20,19,19,20,20,19,20,19,19,20,20,19,19,
20,19,20,20,19,20,19,19,20,20,19,20,19,19,20,20,19,20,19,20,19,19,20,5,5,5,5,
5,5,5,5,5,5,8,8,8,8,7,7,7,7,7,7,8,8,8,8,7,7,7,7,8,8,8,8,5,5,7,7,245,245,245,
245,245,245,1,245,245,245,245,245,245,59,67,67,67,279,280,257,258,256,255,257,
258,257,258,254,253,254,253,254,253,256,255,256,255,257,258,253,254,256,255,
253,254,257,258,254,253,258,257,256,255,255,256,15,14,13,12,17,16,11,792,793,
794,795,796,797,798,1,1,3,4,2,6,8,8,5,5,7,7,5,8,7,20,19,19,20,19,20,19,20,19,
20,19,20,20,19,19,20,19,20,19,20,20,19,19,20,245,245,245,245,245,245,245,245,
245,245,245,245,245,272,271,67,748,747,748,747,748,747,748,747,280,279,280,
279,279,280,626,628,627,256,255,253,254,257,258,793,794,795,796,793,794,793,
794,798,797,798,797,792,795,796,792,798,797,796,795,792,94,98,89,20,19,245,
245,245,852,851,852,851,851,852,851,852,272,271,272,271,271,272,920,921,922,
280,279,747,748,748,747,748,747,748,747,748,747,747,748,627,628,626,795,796,
797,798,793,794,792,270,508,851,852,851,852,851,852,851,852,851,852,852,851,
271,272,920,921,922,921,921,920,922,920,922,972,973,974,748,747,851,852,921,
922,920,973,974,974,973,972,972,973,972,974,947,973,972,974,995,996,997],
[ (  1, 17)(  2, 31)(  3, 32)(  4, 20)(  5, 34)(  6, 84)(  7,168)(  8,142)
    (  9,141)( 10,167)( 11,192)( 12,198)( 13,197)( 14,191)( 15, 83)( 16, 37)
    ( 18,176)( 19,175)( 21,121)( 22,174)( 23,110)( 24,103)( 25, 51)( 26,115)
    ( 27,114)( 28, 50)( 29,173)( 30,122)( 33,206)( 35,224)( 36,223)( 38,218)
    ( 39,217)( 40,205)( 41,204)( 42,203)( 43, 98)( 44, 68)( 45, 69)( 46, 97)
    ( 47,151)( 48,154)( 49, 60)( 52, 96)( 53, 80)( 54, 79)( 55, 99)( 56, 61)
    ( 57,152)( 58,153)( 59,182)( 62,179)( 63, 87)( 64, 88)( 65, 95)( 66,100)
    ( 67, 71)( 70, 72)( 73,177)( 74,178)( 75,118)( 76,117)( 77,108)( 78,109)
    ( 81,120)( 82,119)( 85,166)( 86,165)( 89,202)( 90,201)( 91,189)( 92,215)
    ( 93,216)( 94,190)(101,158)(102,157)(104,221)(105,188)(106,187)(107,222)
    (111,194)(112,193)(113,131)(116,132)(123,199)(124,200)(125,135)(126,136)
    (127,143)(128,144)(129,155)(130,156)(133,145)(134,146)(137,150)(138,149)
    (139,196)(140,195)(147,213)(148,214)(159,161)(160,162)(163,186)(164,185)
    (169,184)(170,183)(171,210)(172,209)(180,212)(181,211)(207,220)(208,219), 
  (  1,215,128, 51)(  2, 45,195, 93)(  3, 44,196, 92)(  4,216,127, 50)
    (  5,202, 78,133)(  6,176,180,159)(  7,206,209,157)(  8, 95,179, 18)
    (  9,100,182, 19)( 10,205,210,158)( 11, 61, 39, 62)( 12,138,223,178)
    ( 13,137,224,177)( 14, 60, 38, 59)( 15,175,181,160)( 16,201, 77,134)
    ( 17,147,112,102)( 20,148,111,101)( 21,123, 52,153)( 22, 85, 25, 84)
    ( 23, 36,208,131)( 24, 35,207,132)( 26,193, 63,171)( 27,194, 64,172)
    ( 28, 83, 29, 86)( 30,124, 55,152)( 31,120,183, 75)( 32,119,184, 76)
    ( 33,109,192, 91)( 34,144,219,167)( 37,143,220,168)( 40,108,191, 94)
    ( 41,212,204, 46)( 42,211,203, 43)( 47, 96, 80,185)( 48, 99, 79,186)
    ( 49,113, 74,117)( 53,135, 66, 98)( 54,136, 65, 97)( 56,116, 73,118)
    ( 57,170,129,115)( 58,169,130,114)( 67,221,200, 68)( 69, 70,222,199)
    ( 71,110,105,189)( 72,103,106,190)( 81, 87,197,140)( 82, 88,198,139)
    ( 89,156,122,187)( 90,155,121,188)(104,126,174,166)(107,125,173,165)
    (141,146,149,164)(142,145,150,163)(151,214,162,218)(154,213,161,217) ],
[[[[]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,2,-1],[5,-5]]],[[[1,1,2,1],[3,1,2,
1,1,1,2,-1,3,2],[4,-5]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,4,-1,3,1],[5,
-5]]],[[[1,1,2,1],[2,-1,3,2],[4,-2]]],[[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,
1],[5,1,6,3,2,-2,5,1],[4,1,7,1],[8,3,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,
1,2,-2,3,1],[5,-2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,-1,2,-2],[5,-2]]],[[[1,
1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,
2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,1,7,4,4,1]],[[1,1,2,1],[
3,1,2,1,1,1,2,-1,3,2],[4,-5]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,
1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,1,4,1,6,-1,7,1,6,1,7,1,4,-1]],[[1,
1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,
6,1],[6,1,7,1,4,1,6,-2,7,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,
1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[7,1,6,1,4,-1,6,-2,4,-1,6,2,7,-1]],[[1,1,
2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,
1],[7,1,4,-1,6,-1,7,1,6,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,-1,2,-2],[1,1,
2,1],[2,1,1,1],[7,1,6,-1,7,1,2,1,7,-1,6,1],[8,1,5,1],[8,1,9,-2,8,-1,5,-2]],[[
1,1,2,1],[2,1,1,1],[3,1,4,-2,3,-1,2,-2],[1,1,2,1],[2,1,1,1],[7,1,6,-1,7,1,2,1,
7,-1,6,1],[5,1,8,1],[9,1,5,-2,9,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,
2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[4,1,6,1],[7,1,6,1,4,1,8,-1,6,1,
8,1,7,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,
2,-1,5,2],[4,1,6,1],[7,1,4,1,7,-1,6,-1,7,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,
4,1,2,-2,3,1],[1,1,2,1],[2,1,1,1],[6,1,7,-2,6,2,2,1],[8,1,5,1],[8,1,9,-2,8,-1,
5,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-2,3,1],[1,1,2,1],[2,1,1,1],[6,1,
7,-2,6,2,2,1],[8,2,5,-1,8,-2,5,1]]],[[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,
1],[5,1,6,3,2,-2,5,1],[7,1,4,1,7,-1,4,1,7,-2]],[[1,1,2,1],[2,-1,3,2],[1,1,2,
1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,-2],[7,-1,8,1,7,1]]],[[[1,1,2,1],[2,-1,3,
2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,-2],[8,1,7,1,8,1,7,-1,8,1]],[[1,
1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[7,1,4,-2,7,-1]]],[[[
1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,
1,6,1],[7,2,6,2,4,-1,6,-1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,
1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,1,7,1,4,1,6,-2,7,1]]],[[[1,1,2,1],[
1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,
1,4,1,7,-1,6,-1,7,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,
1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,2,4,1,6,-1,4,1,6,1]]],[[[1,1,2,1],[1,1,2,-1,3,
1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[7,1,6,1,4,-1,6,
-1,4,1,6,2,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,
1,1,1,2,-1,5,2],[4,1,6,1],[6,2,4,1,7,-2]]],[[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[
2,1,1,1],[5,1,6,3,2,-2,5,1],[4,1,7,1],[8,1,7,1,4,1,7,1,8,1]],[[1,1,2,1],[2,-1,
3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,1,7,1],[8,2,7,1,4,1]]],[[[1,1,
2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[
6,1,4,1,6,1],[7,1,8,-2,7,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,
2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,2,4,1,6,2]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,
2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[4,-1,7,-1,6,-1],[7,
1,8,1,7,1,8,1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,2],[4,-5]]],[[[1,1,2,1],[2,1,1,
1],[2,1,4,1,3,-1,4,1,3,-1,4,1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,-1,7,1,6,-1,2,
-2],[8,1,5,-1,8,-2,5,-1,8,2]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,1,3,-1,2,
-2],[5,-5]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1],[1,1,2,1],[2,1,
1,1],[2,1,7,-1,6,-1,7,1,6,-1,2,-2],[5,1,8,1],[5,-1,9,-1,8,-1],[9,1,10,1,9,1,
10,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,1,3,-1,2,-2],[5,-5]]],[[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[7,
1,6,1,4,-1,6,-1,4,1,6,2,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,
2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,1,4,-1,6,-1,7,1,6,1]]],[[[1,1,2,1],[
2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,-2],[8,1,7,-1,4,-1,8,1,7,
1,4,-1,7,1]],[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,
1,7,1],[8,1,4,-2,8,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,-2,4,-1,6,2]],[[1,1,2,1],[3,1,2,1,1,1,2,
-1,3,2],[4,-5]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,-1,2,-2],[1,1,2,1],[2,1,1,
1],[7,1,6,-1,7,1,2,1,7,-1,6,1],[5,1,8,-1,5,-2,8,1,5,1,8,-1]],[[1,1,2,1],[2,1,
1,1],[3,1,4,-2,3,-1,2,-2],[1,1,2,1],[2,1,1,1],[7,1,6,-1,7,1,2,1,7,-1,6,1],[5,
-2],[8,-1,9,1,8,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,
1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,1,7,2,6,2,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,
2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1],[6,1,7,-1,4,1,6,1,7,
1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,-1,2,-2],[1,1,2,1],[2,1,1,1],[7,1,6,-1,
7,1,2,1,7,-1,6,1],[8,3,5,-1,8,1,5,-2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,-1,2,
-2],[1,1,2,1],[2,1,1,1],[7,1,6,-1,7,1,2,1,7,-1,6,1],[5,1,8,-2,5,-1,8,2]]],[[[
1,1,2,1],[2,1,1,1],[3,1,4,-2,3,-1,2,-2],[1,1,2,1],[2,1,1,1],[7,1,6,-1,7,1,2,1,
7,-1,6,1],[8,1,5,-1,8,1,5,-2,8,2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,-1,2,-2],[
1,1,2,1],[2,1,1,1],[7,1,6,-1,7,1,2,1,7,-1,6,1],[8,2,5,-1,8,2,5,-1]]],[[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,
1],[4,-1,6,-1,7,-1,6,2,4,-1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[
1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[4,-1,7,-1,6,-1],[7,1,8,1,7,1,8,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-2,3,1],[1,1,2,1],[2,1,1,1],[6,1,7,
-2,6,2,2,1],[5,1,8,-1,5,-2,8,1,5,1,8,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,
2,-2,3,1],[1,1,2,1],[2,1,1,1],[6,1,7,-2,6,2,2,1],[5,-2],[8,-1,9,1,8,1]]],[[[1,
1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,
6,1],[6,1,4,1,6,-1,7,1,6,1,7,1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,1,4,1,7,-1,6,-1,7,2]]],[[[1,
1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-2,3,1],[1,1,2,1],[2,1,1,1],[6,1,7,-2,6,2,2,
1],[8,3,5,-1,8,1,5,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-2,3,1],[1,1,2,
1],[2,1,1,1],[6,1,7,-2,6,2,2,1],[5,1,8,-2,5,-1,8,2]]],[[[1,1,2,1],[2,-1,3,2],[
1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[7,-2,4,1,7,1,4,-2]],[[1,1,2,1],[2,-1,3,
2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[7,1,4,-2,7,-1]]],[[[1,1,2,1],[2,-1,
3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,-2],[8,1,7,-1,8,1,7,1,8,1]],[[
1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[7,1,4,1,7,-2,4,
-2]]],[[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,1,7,
1],[8,3,4,1]],[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[7,
1,4,-1,7,1,4,-1]]],[[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,
1],[4,-2],[8,1,7,-1,4,-1,8,1,7,1,4,-1,7,1]],[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[
2,1,1,1],[5,1,6,3,2,-2,5,1],[4,1,7,-1,4,-2,7,1,4,-1,7,-1]]],[[[1,1,2,1],[1,1,
2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[4,-1,6,
-2,7,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,
-1,5,2],[4,1,6,2,4,1,6,2]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,
2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,2,4,1,6,2,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,
1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,2,4,1,6,2]]],[[[1,1,
2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[
7,1,6,-1,4,-1,6,-1,7,1,6,2,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[
1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,2,6,1,7,1,4,-1]]],[[[1,1,2,1],[1,
1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,1,
6,1],[7,1,8,-2,7,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,
1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,-1,6,-1],[7,1,8,1,7,1,8,1]]],[[[1,1,2,1],[2,
-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,-2],[8,1,7,-1,8,1,7,1,8,
1]],[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,1,7,1],[8,
2,7,1,8,1]]],[[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,
1,7,1],[7,1,8,3]],[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,
1],[7,1,4,-1,7,1,4,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[4,-1,6,-2,7,2]],[[1,1,2,1],[1,1,2,-1,3,1,
1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,2,4,1,6,-1,4,
-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[4,-1],[4,1,6,1],[7,1,6,-1,7,-1,8,2,7,1,8,-1,6,-1]],[[1,1,2,1],[1,1,2,-1,
3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,2,4,1,6,-1,
4,1,6,1]]],[[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,
-2,7,-1,4,-1,7,-1,4,1,7,-1]],[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,
3,2,-2,5,1],[4,-2,7,-2,4,1,7,1]]],[[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[
5,1,6,3,2,-2,5,1],[4,1,7,-1,4,-2,7,1,4,-1,7,-1]],[[1,1,2,1],[2,-1,3,2],[1,1,2,
1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,1,7,1],[7,1,4,1,8,2]]],[[[1,1,2,1],[1,1,2,
-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,2,4,
1],[7,1,8,-1,7,1,8,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[
5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,2,4,1,6,-1,4,1,6,1]]],[[[1,1,2,1],[1,1,2,-1,
3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,2,6,1,7,1,
4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[4,1,6,1],[6,1,7,1,4,1,6,-1,7,-1]]],[[[1,1,2,1],[2,-1,3,2]]],[[[1,1,2,
1],[2,1,1,1],[3,1,4,3,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,-1,2,
-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,-2,4,1,2,1,4,-1,3,1]]],[[[1,1,2,1],[2,
1,1,1],[4,1,3,-1,4,1,2,-2,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,1,2,1,1,1,4,
1,3,-1,2,-2]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,2],[4,2]]],[[[1,1,2,1],[2,1,1,
1],[3,1,4,3,3,-1,4,1],[1,1,2,1],[2,1,1,1],[6,1,7,2,6,-1,2,-1],[5,1,8,1]]],[[[
1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[7,1,4,1,7,-1,4,
-2]]],[[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,1,7,1,
4,-1,7,-2]]],[[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,
1,7,1],[8,2,7,1,4,1]],[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,
5,1],[4,1,7,1,4,-2,7,1,4,-1]]],[[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,
1,6,3,2,-2,5,1],[4,1,7,1],[8,1,7,1,4,1,7,1,8,1]],[[1,1,2,1],[2,-1,3,2],[1,1,2,
1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,1,7,1,4,-2,7,1,4,-1]]],[[[1,1,2,1],[2,-1,3,
2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,1,7,1,4,-2,7,1,4,-1]],[[1,1,2,
1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,1,7,-2,4,-1]]],[[[1,1,
2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[7,1,4,1,7,1,4,1,7,1,4,
-2]],[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,1,7,1,4,
-2,7,1,4,-1]]],[[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[
4,1,7,1,4,1,7,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,
2,1,1,1,2,-1,5,2],[4,1,6,1],[4,-1,7,-1,6,-1],[7,1,8,1,7,1,8,1]],[[1,1,2,1],[3,
1,2,1,1,1,2,-1,3,2],[4,-5]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,1,4,1,7,-1,6,-1,7,2]]],[[[1,1,2,1],[1,
1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[4,1,6,
1],[7,1,6,1,8,1,7,1,6,-1,8,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,
1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,2,4,1,7,-2]],[[1,1,2,1],[1,1,2,-1,
3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,1,4,-1,6,-2,
4,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1],[1,1,2,1],[2,1,1,1],[
2,1,7,-1,6,-1,7,1,6,-1,2,-2],[5,1,8,1],[5,-1,9,-1,8,-1],[9,1,10,1,9,1,10,
1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,1,3,-1,2,-2],[5,-5]],[[1,1,2,1],[2,
1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,-1,7,1,6,
-1,2,-2],[5,1,8,1],[9,1,5,1,9,-1,8,-1,9,2]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,2,4,-1,7,-1,6,1,4,
-1,6,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,
1,2,-1,5,2],[4,1,6,1],[4,-1,7,-1,6,-1],[7,1,8,1,7,1,8,1]],[[1,1,2,1],[1,1,2,
-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,-2,4,1,6,2,4,
1,6,-1,4,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,
1,1,2,-1,5,2],[4,-1],[7,1,6,1,4,-1,6,-2,4,-1,6,2,7,-1]],[[1,1,2,1],[1,1,2,-1,
3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1],[6,1,7,-1,4,
1,6,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,
2,-1,5,2],[4,1,6,1],[7,1,4,1,7,-1,6,-1,7,2]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,1,6,2,4,-1,7,-1,6,2,
4,1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,2],[4,-5]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,
2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,1,4,-1,6,-1,7,1,6,
1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[4,-1,6,2,4,1,6,2,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,
2,1],[5,1,2,1,1,1,2,-1,5,2],[6,2,4,1,6,2,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,2,4,1,6,2]]],[[[1,1,2,1],[
2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,-2,7,1,4,-1,7,1,4,1,7,
-2]],[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,1,7,1],[
8,1,4,-2,8,-1]],[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[
7,1,4,1],[8,1,7,-1,4,1,7,1,8,1]]],[[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[
5,1,6,3,2,-2,5,1],[7,-2],[8,1,4,-2,8,1]],[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,
1,1],[5,1,6,3,2,-2,5,1],[7,1,4,-1,7,1,4,-1]],[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[
2,1,1,1],[5,1,6,3,2,-2,5,1],[4,1,7,1],[7,1,8,3]]],[[[1,1,2,1],[2,1,1,1],[3,1,
4,-2,3,-1,2,-2],[1,1,2,1],[2,1,1,1],[7,1,6,-1,7,1,2,1,7,-1,6,1],[5,-2],[9,1,8,
1,9,1,8,2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,-1,2,-2],[1,1,2,1],[2,1,1,1],[7,
1,6,-1,7,1,2,1,7,-1,6,1],[5,-2],[8,-1,9,1,8,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,
-2,3,-1,2,-2],[1,1,2,1],[2,1,1,1],[7,1,6,-1,7,1,2,1,7,-1,6,1],[5,1,8,-1,5,-2,
8,1,5,1,8,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,
1,1,1,2,-1,5,2],[4,1,6,1],[7,1,6,2,4,-1,7,-1,6,2,4,1]],[[1,1,2,1],[1,1,2,-1,3,
1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,1,4,-1,6,-1,
7,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,
-1,5,2],[6,1,4,1,6,-1,4,-1,6,1,4,1,6,1]]],[[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,
1,1,1],[5,1,6,3,2,-2,5,1],[7,1,4,1,7,-2,4,-2]],[[1,1,2,1],[2,-1,3,2],[1,1,2,
1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,-2],[7,-1,8,1,7,1]],[[1,1,2,1],[2,-1,3,2],[
1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,-2,7,1,4,1,7,-2]]],[[[1,1,2,1],[1,1,
2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,-2,4,
-1,6,2]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,2],[4,-5]],[[1,1,2,1],[1,1,2,-1,3,1,1,
1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,2,4,1,6,2,4,1]]],[[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,
1,4,1,6,1],[7,1,8,-2,7,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,1,7,1,6,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,
1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,2,6,1,7,1,4,
-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[4,1,6,1],[6,1,7,4,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,
2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,1,4,-1,6,-2,4,1]],[[1,1,2,1],[1,1,2,-1,
3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,1,4,1,7,
-1,6,-1,7,2]]],[[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[
4,-2,7,1,4,-1,7,1,4,1,7,-2]],[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,
3,2,-2,5,1],[4,1,7,1],[8,1,4,-2,8,-1]],[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,
1],[5,1,6,3,2,-2,5,1],[4,1,7,-1,4,-2,7,-1,4,-1,7,-1]]],[[[1,1,2,1],[2,-1,3,
2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[7,-2],[8,1,4,-2,8,1]],[[1,1,2,1],[
2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[7,1,4,-1,7,1,4,-1]],[[1,1,2,
1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,1,7,1],[8,3,4,1]]],[[[
1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,
-1],[4,1,6,1],[7,1,8,-1,6,-1,8,3,7,1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,2],[4,
-5]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[4,1,6,1],[4,-1,7,-1,6,-1],[7,1,8,1,7,1,8,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,
1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,1,4,1,6,-1,7,1,
6,1,7,1,4,-1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,2],[4,-5]],[[1,1,2,1],[1,1,2,-1,
3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,1,4,1,7,
-1,6,-1,7,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1],[1,1,2,1],[2,
1,1,1],[2,1,7,-1,6,-1,7,1,6,-1,2,-2],[5,-1],[5,1,8,1],[9,1,10,-1,8,-1,10,3,9,
1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,1,3,-1,2,-2],[5,-5]],[[1,1,2,1],[2,
1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,-1,7,1,6,
-1,2,-2],[5,1,8,1],[5,-1,9,-1,8,-1],[9,1,10,1,9,1,10,1]]],[[[1,1,2,1],[2,1,1,
1],[2,1,4,1,3,-1,4,1,3,-1,4,1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,-1,7,1,6,-1,2,
-2],[5,1,8,1],[8,1,5,1,8,-1,9,1,8,1,9,1,5,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,
3,-1,4,1,3,-1,2,-2],[5,-5]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1],[
1,1,2,1],[2,1,1,1],[2,1,7,-1,6,-1,7,1,6,-1,2,-2],[5,1,8,1],[9,1,5,1,9,-1,8,-1,
9,2]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,
-1,5,2],[4,1,6,1],[4,-1,7,-1,6,-1],[7,1,8,1,7,1,8,1]],[[1,1,2,1],[3,1,2,1,1,1,
2,-1,3,2],[4,-5]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,
1,1,1,2,-1,5,2],[6,1,4,-1,6,2,4,1,6,-1,4,1,6,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,
1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[4,1,6,1],[7,1,6,1,4,
1,8,-1,6,1,8,1,7,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,
1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,2,4,1,6,-1,4,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,
1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,-2,4,1,6,2,4,1,6,-1,
4,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,
-1,5,2],[4,1,6,1],[4,-1,7,-1,6,-1],[8,1,7,1,8,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,
1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,2,4,1,6,-1,4,
1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,
-1,5,2],[4,1,6,1],[4,-1,7,-1,6,-1],[7,1,8,1,7,1,8,1]]],[[[1,1,2,1],[1,1,2,-1,
3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,1,4,1,7,
-1,6,-1,7,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,
1,2,-1,5,2],[6,1,4,1,6,1,4,-1,6,-2,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,
2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,2,4,1,6,-1,4,1,6,1]]],[[[
1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,
-1],[6,1,4,1,6,1],[7,1,8,-2,7,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,2,4,1,6,2,4,1]],[[1,1,2,1],[1,1,2,-1,3,
1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,-1,6,-1],[
7,1,8,1,7,1,8,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1],[1,1,2,
1],[2,1,1,1],[2,1,7,-1,6,-1,7,1,6,-1,2,-2],[5,1,8,1],[5,-1,9,-1,8,-1],[9,1,10,
1,9,1,10,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,1,3,-1,2,-2],[5,-5]],[[1,1,
2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,-1,
7,1,6,-1,2,-2],[8,1,5,-1,8,2,5,1,8,-1,5,1,8,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,
1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,1,4,1,7,-1,6,-1,
7,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[6,1,4,1],[6,1,7,-1,4,1,6,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,
2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,2,4,1,6,-1,4,1,6,1]]],[[[1,
1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,
6,1],[4,-1,6,-1,7,-1,6,2,4,-1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,2,4,1,6,-1,4,1,6,1]],[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,
1],[4,-1,7,-1,6,-1],[7,1,8,1,7,1,8,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,
2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,1,7,4,4,1]],[[1,1,2,1],[
3,1,2,1,1,1,2,-1,3,2],[4,-5]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,
2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,2,4,1,6,-1,4,1,6,1]]],[[[1,1,2,1],[1,
1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[7,1,6,1,
4,-1,6,-1,4,1,6,2,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[
5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,2,4,1,7,-2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,
2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1],[6,1,7,-1,4,1,6,1,7,
1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[4,-1],[6,1,4,1],[6,1,8,-1],[7,1,9,-1,4,1,6,1,8,-1,7,-1,9,-1]],[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,
6,2,4,1,6,-1,4,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[
5,1,2,1,1,1,2,-1,5,2],[4,-1],[7,1,6,1,4,-1,6,-2,4,-1,6,2,7,-1]]],[[[1,1,2,1],[
1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,
1,4,1,6,-1,7,1,6,1,7,1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,
2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,2,4,1,6,-1,4,1,6,1]],[[1,1,2,1],[1,1,
2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,1,4,
1,7,-1,6,-1,7,2]]],[[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,
1],[7,1,4,-1,7,-1,4,-2,7,1]],[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,
3,2,-2,5,1],[4,1,7,1],[8,3,4,1]],[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,
1,6,3,2,-2,5,1],[7,-2],[8,1,4,-2,8,1]]],[[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,
1,1],[5,1,6,3,2,-2,5,1],[4,1,7,1],[7,1,8,2,7,1,4,1]],[[1,1,2,1],[2,-1,3,2],[1,
1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[7,1,4,1],[4,1,7,1,8,2]],[[1,1,2,1],[2,-1,
3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[7,1,4,-1,7,-1,4,-2,7,1]]],[[[1,1,
2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[
6,1,4,1,6,1],[7,1,8,-2,7,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,
2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,1,7,1,6,1,7,1]],[[1,1,2,1],[1,1,2,-1,
3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,-1,6,
-1],[7,1,8,1,7,1,8,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,2,7,1,4,-1,7,-1,6,-1,7,-1]],[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,
6,2,4,1,6,-1,4,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[
5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[4,1,6,-2,7,2,6,1]]],[[[1,1,2,1],[1,1,2,-1,3,
1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,3,4,1,7,-1,
6,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[6,1,4,-1,6,-2,4,-1,6,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,
1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,3,4,-1,6,-2,4,-1]]],[[[1,1,2,1],[1,1,2,-1,3,
1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[7,1,6,1,4,-1,6,
-2,4,-1,6,2,7,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,
2,1,1,1,2,-1,5,2],[6,1,4,1],[6,1,7,-1,4,1,6,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,
1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,1,4,-1,6,-1,7,
1,6,1]]],[[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,1,7,
-1,4,-2,7,1,4,-1,7,-1]],[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,
-2,5,1],[4,1,7,1],[7,1,4,1,8,2]],[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,
1,6,3,2,-2,5,1],[4,1,7,1],[7,1,8,2,7,1,4,1]]],[[[1,1,2,1],[2,-1,3,2],[1,1,2,
1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,1,7,1],[7,1,8,3]],[[1,1,2,1],[2,-1,3,2],[1,
1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[7,1,4,-1,7,1,4,-1]],[[1,1,2,1],[2,-1,3,
2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,1,7,1],[8,3,4,1]]],[[[1,1,2,1],[
1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,
2,4,1],[7,1,8,-1,7,1,8,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,2,6,1,7,1,4,-1]],[[1,1,2,1],[1,1,2,-1,
3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,2,4,1,6,-1,
4,1,6,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,
2,-1,5,2],[4,-1],[7,1,6,-1,4,-1,6,-1,7,1,6,2,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,
1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,1,7,1,4,1,6,
-1,7,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,
-1,5,2],[4,1,6,1],[7,2,6,1,7,1,4,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,
2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,2,4,1],[7,1,8,-1,7,1,8,
1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,2],[4,-5]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,2,4,1,6,-1,4,1,6,
1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[4,1,6,1],[6,1,4,1,6,-1,7,1,6,1,7,1,4,-1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,
3,2],[4,-5]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,
1,2,-1,5,2],[6,1,4,1],[6,1,7,-1,4,1,6,1,7,1]]],[[[1,1,2,1],[2,-1,3,2],[1,1,2,
1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,1,7,-1,4,-2,7,1,4,-1,7,-1]],[[1,1,2,1],[2,
-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,1,7,1],[7,1,4,1,8,2]],[[1,1,
2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,1,7,1],[8,1,4,-2,8,
-1]]],[[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,1,7,
1],[8,1,4,-2,8,-1]],[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,
1],[4,1,7,1],[8,3,4,1]],[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,
-2,5,1],[7,1,4,1],[8,1,4,1,7,1,8,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,
2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[7,1,6,-1,4,-1,6,-1,7,1,6,2,4,
-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[6,2,4,1,6,2,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,
1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,1],[7,1,6,1,8,1,6,1,8,-1,7,1]]],[[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,
1],[6,2,4,1],[7,1,8,-1,7,1,8,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[
1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,2,4,1,6,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,
1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,2,4,1,6,-1,4,1,6,
1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[4,1,6,2,4,1,6,1,4,-1,6,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[
1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,1,7,1,6,1,7,1]],[[1,1,2,1],[1,1,
2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,2,4,1,6,2,
4,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,
-1,5,2],[4,-1],[4,1,6,1],[7,1,6,-1,7,-1],[9,1,8,1,9,1,8,1]],[[1,1,2,1],[1,1,2,
-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,2,4,1,6,
-1,4,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,
1,2,-1,5,2],[4,1,6,1],[6,2,4,1],[7,1,8,-1,7,1,8,1]]],[[[1,1,2,1],[1,1,2,-1,3,
1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,1,6,1],[7,
1,8,-2,7,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,
1,2,-1,5,2],[6,1,4,1,6,2,4,1,6,-1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,
2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[4,-1,6,2,4,-1,7,-2]]],[[[1,
1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,
6,1],[7,1,4,1,7,-1,6,-1,7,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,
2,1],[5,1,2,1,1,1,2,-1,5,2],[6,2,4,1,6,2,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,1,6,1],[7,1,8,-2,7,
-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[4,1,6,1],[6,1,4,1,6,-1,7,1,6,1,7,1,4,-1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,
3,2],[4,-5]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,
1,2,-1,5,2],[4,1,6,1],[7,1,4,-1,6,-1,7,1,6,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,
2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[4,1,6,1],[8,1,7,1,8,-1,
6,-1,7,1,6,-1,7,-1,8,1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,2],[4,-5]],[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,
6,2,4,1,6,-1,4,1,6,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[4,-1,6,2,4,-1,7,-2]],[[1,1,2,1],[1,1,2,
-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,2,4,1,6,
2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[4,1,6,1],[4,-1,6,-2,7,2]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,
1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[4,1,6,1],[7,1,6,-1,7,-1,8,2,7,1,8,-1,6,
-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[4,1,6,2,4,1,6,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,
1,2,1,1,1,2,-1,5,2],[4,1,6,1],[4,1,6,-1,7,1,6,1,4,1,6,-1,7,-1]]],[[[1,1,2,1],[
1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,
-1,6,-1],[8,1,7,1,8,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,2,4,1,6,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,2,4,1,6,2,4,-1]]],[[[1,1,
2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,
1],[6,1,4,1,6,-1,7,1,6,1,7,1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,1,4,-1,6,-2,4,1]],[[1,1,2,1],[
1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[4,
1,6,-2,7,2,6,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,
2,1,1,1,2,-1,5,2],[4,1,6,1],[4,-1,6,-1,7,-1,6,2,4,-1,7,1]],[[1,1,2,1],[1,1,2,
-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,2,4,1,6,
-1,4,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,
1,2,-1,5,2],[4,1,6,1],[7,1,4,1,7,-1,6,-1,7,2]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,
2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[4,-1,7,-1,6,-1],[7,
1,8,1,7,1,8,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,
1,1,2,-1,5,2],[6,1,4,1],[6,1,7,-1,4,1,6,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,
2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,2,4,1,6,-1,4,1,6,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1],[1,1,2,1],[2,1,1,1],[2,
1,7,-1,6,-1,7,1,6,-1,2,-2],[5,1,8,1],[8,2,5,1],[9,1,10,-1,9,1,10,1]],[[1,1,2,
1],[2,1,1,1],[2,1,4,-1,3,-1,4,1,3,-1,2,-2],[5,-5]],[[1,1,2,1],[2,1,1,1],[2,1,
4,1,3,-1,4,1,3,-1,4,1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,-1,7,1,6,-1,2,-2],[8,1,
5,-1,8,2,5,1,8,-1,5,1,8,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,
1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,-1,7,1,6,-1,2,-2],[5,1,8,1],[8,1,5,1,8,-1,
9,1,8,1,9,1,5,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,1,3,-1,2,-2],[5,
-5]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1],[1,1,2,1],[2,1,1,1],[2,
1,7,-1,6,-1,7,1,6,-1,2,-2],[8,1,5,1],[8,1,9,-1,5,1,8,1,9,1]]],[[[1,1,2,1],[1,
1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[7,1,6,1,
4,-1,6,-2,4,-1,6,2,7,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,-2,4,-1,6,2]],[[1,1,2,1],[1,1,2,-1,3,1,
1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[4,-1,7,-1,6,
-1],[8,1,7,1,8,1,7,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,1,6,2,4,-1,7,-1,6,2,4,1]],[[1,1,2,1],[
1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,-1,
4,-1,6,1,4,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,
2,1,1,1,2,-1,5,2],[4,1,6,1],[4,-1,6,1,4,1,6,-1,7,1,6,1,7,1]]],[[[1,1,2,1],[1,
1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,1,
6,2,4,-1,7,-1,6,2,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[
5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,-1,4,-1,6,1,4,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,
1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,1,4,1,7,-1,
6,-1,7,2]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,
1,2,-1,5,2],[4,1,6,1],[6,1,4,1,6,-1,7,3,6,1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,
1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,-3,4,1,6,1]],[[1,
1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,
6,1],[4,1,6,-1,7,1,6,1,4,1,6,-1,7,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,
2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,2,7,1,4,-1,7,-1,6,-1,7,
-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[6,1,4,-1,6,-2,4,-1,6,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,
2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[4,1,6,-2,7,2,6,1]]],[[[1,1,2,1],[1,1,2,
-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,1,4,1,
7,-1,6,-1,7,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,
1,1,2,-1,5,2],[6,1,4,-1,6,2,4,1,6,-1,4,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,2,4,1,6,-3,4,-1]]],[[[1,
1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,
-1],[7,1,6,-1,4,-1,6,-1,7,1,6,2,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,
2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,-2,4,-1,6,-1,4,1]],[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,
1],[7,2,6,1,7,1,4,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,1,4,1,6,-1,7,3,6,1,4,-1]],[[1,1,2,1],[
1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,2,
4,1,6,-1,4,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,
2,1,1,1,2,-1,5,2],[4,-1],[4,1,6,1],[8,2,7,1,8,-2,6,-1,7,-1]]],[[[1,1,2,1],[1,
1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,1,
6,1],[7,1,8,-2,7,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,
1,2,1,1,1,2,-1,5,2],[4,1,6,2,4,1,6,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,
2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,2,4,1,6,-1,4,-1]]],[[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,
1],[7,2,6,1,4,-1,6,1,4,1,6,-1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,2,4,1],[7,1,8,-2,7,-1]],[[1,
1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,
-1],[4,1,6,1],[7,1,6,-1,7,-1],[9,1,8,1,9,1,8,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,
4,1,3,-1,4,1,3,-1,4,1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,-1,7,1,6,-1,2,-2],[5,1,
8,1],[8,1,5,1,8,-1,9,1,8,1,9,1,5,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,1,
3,-1,2,-2],[5,-5]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1],[1,1,2,
1],[2,1,1,1],[2,1,7,-1,6,-1,7,1,6,-1,2,-2],[5,1,8,1],[9,1,5,-1,8,-1,9,1,8,
1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[4,1,6,1],[6,1,7,4,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,
2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1],[6,1,7,-1,4,1,6,1,7,1]],[[1,1,2,1],[1,1,
2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,1,4,
1,7,-1,6,-1,7,2]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,
2,1,1,1,2,-1,5,2],[4,1,6,1],[7,1,4,1,7,-1,6,-1,7,2]],[[1,1,2,1],[1,1,2,-1,3,1,
1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,2,4,1,6,-1,4,1,
6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[4,1,6,1],[7,3,4,1,7,-1,6,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[7,1,6,1,4,-1,6,-1,4,1,6,2,7,1]],[[
1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,
1,6,1],[6,2,4,1,7,-2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[
5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,1,4,1,7,-1,6,-1,7,2]]],[[[1,1,2,1],[1,1,2,
-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,2,7,1,
4,-1,7,-1,6,-1,7,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,
1,2,1,1,1,2,-1,5,2],[6,1,4,1],[6,1,7,-1,4,1,6,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,
1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[4,1,6,-2,7,2,
6,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,
-1,5,2],[4,-1],[6,1,4,-1,6,-1],[7,1,8,1,7,1,8,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,
1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,2,4,1,6,2,4,1]],[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,2,
4,1,6,2,4,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,
1,1,1,2,-1,5,2],[4,1,6,1],[7,1,4,1,7,-1,6,-1,7,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,
1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,1,4,-1,6,-2,4,
1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[4,1,6,1],[6,1,7,1,4,1,6,-2,7,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,
2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,1,6,1],[7,1,8,-2,7,-1]],[[
1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,
1,6,2,4,1,6,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,
1,1,2,-1,5,2],[4,-1],[6,1,4,-1,6,-1],[7,1,8,1,7,1,8,1]]],[[[1,1,2,1],[1,1,2,
-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,1,4,1,
6,-2,4,-1,6,-1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,
1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,-2,4,-1,6,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,1,7,2,6,2,7,1]]],[[[
1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,
1,6,1],[7,1,4,1,6,-2,7,-1,6,-1,4,1,6,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,
2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,1,4,1,7,-1,6,-1,7,2]],[[
1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,
1,6,1],[6,2,4,1],[7,1,8,-1,7,1,8,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,
2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[4,1,6,1],[8,1,7,1,8,-1,6,-1,7,1,
6,-1,7,-1,8,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,
1,1,2,-1,5,2],[4,1,6,1],[7,2,6,1,7,1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,
3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,2,6,1,4,-1,6,1,4,1,6,
-1,7,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,
2,-1,5,2],[4,1,6,1],[4,-1,6,2,4,-1,7,-2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,
2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,2,4,1,6,2]],[[1,1,2,1],[1,1,2,
-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,2,4,1,6,
-1,4,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,
2,-1,5,2],[4,1,6,1],[6,2,4,1],[7,1,8,-1,7,1,8,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,
1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,1,7,1,6,1,7,
1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[6,1,4,-1,6,2,4,1,6,-1,4,1,6,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,1],[7,1,6,1,8,1,6,1,8,-1,7,
1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[4,1,6,1],[6,1,7,1,4,1,6,-1,7,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,2,6,1,7,1,4,-1]]],[[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,
1,4,1,6,1],[7,1,8,-2,7,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,2,4,1,6,-1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,
1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1],[6,1,7,1,6,1,7,
-1,4,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,
2,-1,5,2],[4,1,6,1],[6,2,4,-1,7,-1,6,1,4,-1,6,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,
1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,2,4,1,6,-1,4,
1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,
-1,5,2],[4,1,6,1],[6,2,4,1],[7,1,8,-1,7,1,8,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,
1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,1,7,1,4,1,6,-2,
7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[6,1,4,1,6,1,4,-1,6,-2,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[
1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,-2,4,-1,6,2]]],[[[1,1,2,1],[1,1,2,
-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,2,4,
1],[7,1,8,-1,7,1,8,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[
5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,2,4,1,6,-1,4,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,
1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[4,-1,7,-1,6,
-1],[7,1,8,1,7,1,8,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[4,1,6,1],[7,1,6,-1,7,-1,8,2,7,1,8,-1,6,
-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[6,1,4,-1,6,2,4,1,6,-1,4,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,1,4,1,6,-2,7,-1,6,-1,4,1,6,
-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[6,1,4,1],[6,1,7,1,6,1,7,-1,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,
2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,2,4,1,6,2]],[[1,1,2,1],[1,1,2,-1,
3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,2,4,1,6,-1,
4,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,
-1,5,2],[4,1,6,1],[6,2,4,1],[7,1,8,-1,7,1,8,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,
2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,2,4,1,6,-1,4,1,6,
1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[4,1,6,1],[7,3,4,1,7,-1,6,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1],[6,1,7,1,6,1,7,-1,4,1]],[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,
6,2,4,1,6,-1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,
2,1,1,1,2,-1,5,2],[4,1,6,1],[4,-1,6,-2,7,2]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[4,-1,6,2,4,-1,7,
-2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[6,1,4,1,6,2,4,1,6,-1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,
1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1],[6,1,7,1,6,1,7,-1,4,1]]],[[[1,1,2,1],[
1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,
-1,6,-1],[7,1,8,1,7,1,8,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,1,7,1,6,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,
1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,-1,6,-1],[
8,1,7,1,8,1,7,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,
2,1,1,1,2,-1,5,2],[4,1,6,1],[4,-1,6,-2,7,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,2,4,1,6,2]],[[1,1,2,1],[1,
1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,2,4,
1,6,-1,4,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,
1,1,2,-1,5,2],[4,1,6,1],[4,-1,7,-1,6,-1],[7,1,8,1,7,1,8,1]],[[1,1,2,1],[1,1,2,
-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,-3,4,1,6,
1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[6,1,4,-1,6,2,4,1,6,-1,4,1,6,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,1,6,1],[7,1,8,-2,7,-1]],[[1,
1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,
6,-1,4,-1,6,1,4,1,6,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,1,6,1],[7,1,8,-2,7,-1]],[[1,1,2,1],[1,
1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[4,-1,
6,1,4,1,6,-1,7,2]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,
1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,-1,6,-1],[8,1,7,1,8,1,7,1]],[[1,1,2,1],[1,1,
2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[4,-1,6,
-1,7,2]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,
2,-1,5,2],[4,1,6,1],[7,2,4,-1,6,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,2,4,1,6,2,4,-1]]],[[[1,1,2,1],[1,
1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,1,
7,1,4,-1,7,-2,6,1,4,-1,6,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,
2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,1,4,1,7,-1,6,-1,7,2]]],[[[1,1,2,1],[
1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[4,
-1,7,-1,6,-1],[7,1,8,1,7,1,8,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[
1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,3,4,1,6,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,
1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,1,4,-1,6,-2,4,
-1,6,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,
1,2,-1,5,2],[4,1,6,1],[4,-1,7,-1,6,-1],[7,1,8,1,7,1,8,1]]],[[[1,1,2,1],[1,1,2,
-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,1,4,1,
7,-1,6,-1,7,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,
1,1,2,-1,5,2],[6,3,4,1,6,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,
1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[4,1,6,1],[8,1,6,1,7,-1,6,1,8,1,7,-1]],[[
1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,
1,4,1,6,-1,4,-1,6,2,4,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,
2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,1,4,-1,7,-1,6,-1]],[[1,1,2,1],[3,1,2,
1,1,1,2,-1,3,2],[4,-5]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1],[1,
1,2,1],[2,1,1,1],[2,1,7,-1,6,-1,7,1,6,-1,2,-2],[5,1,8,1],[9,1,5,-1,9,-1,8,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,1,3,-1,2,-2],[5,-5]]],[[[1,1,2,1],[
1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[4,
-1,6,1,4,-1,6,-1,7,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[
5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[4,-1,6,-2,7,-2]]],[[[1,1,2,1],[1,1,2,-1,3,1,
1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,1,6,1],[7,1,
8,-2,7,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,
2,-1,5,2],[6,1,4,1,6,-1,4,-1,6,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,2,4,1,6,2]],[[1,1,2,1],[1,1,2,-1,3,
1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,-2,4,1]]],[[[
1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,
-1],[6,1,4,1,6,1],[7,1,8,-2,7,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,1,4,-1,6,-1,7,1,4,-1]]],[[[1,
1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,
6,2,4,1,6,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,
1,2,-1,5,2],[4,1,6,-1,4,1,6,2,4,1]]],[[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,
1],[5,1,6,3,2,-2,5,1],[4,1,7,1],[4,1,8,-1,7,1,8,1]],[[1,1,2,1],[2,-1,3,2],[1,
1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,1,7,1],[8,1,7,1,8,-2]]],[[[1,1,2,1],[2,
-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[7,1,4,1,7,1,4,-1,7,-1]],[[1,1,
2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,-1,7,-1,4,1,7,
1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[4,-1],[7,1,6,-1,4,-1,6,1,4,1,6,-1,7,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1,4,1,6,-2,4,1,6,-1]]],[[[
1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,
1,6,1],[7,2,4,-1,6,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[
5,1,2,1,1,1,2,-1,5,2],[6,1,4,1],[7,1,6,-1,4,-1,7,1]]],[[[1,1,2,1],[1,1,2,-1,3,
1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[4,1,6,1],[7,1,8,
-1,6,-1,8,2,6,1,7,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[
5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,1,4,1,7,-1,6,-1,7,2]]],[[[1,1,2,1],[1,1,2,
-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[4,1,6,1],[6,
1,8,1],[7,1,9,1,8,1,7,1,9,-1,8,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,2,6,1,4,-1,6,1]]],[[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,
1],[7,1,6,1,4,1,6,-1,4,-1,7,-1,6,-1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,
2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,-2,4,-1,6,2]]],[[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[7,
1,6,1,4,-1,6,-2,4,-1,6,2,7,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,
1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,1,4,1,6,3]]],[[[1,1,2,1],[2,-1,3,2],[1,
1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[7,1,4,-2,7,-1,4,-2]],[[1,1,2,1],[2,-1,3,
2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[7,-2,4,1,7,1]]],[[[1,1,2,1],[1,1,2,
-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,1,6,
1],[7,1,8,-2,7,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,
2,1,1,1,2,-1,5,2],[6,3,4,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,
1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,2,4,1,6,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,
2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1],[4,-1,7,2]]],[[[1,1,
2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[
6,1,4,1,6,1],[7,1,8,-2,7,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,
2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1],[6,1,7,-1,4,1,7,1]]],[[[1,1,2,1],[1,1,2,
-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,2,4,1,6,
2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[6,1,4,1,6,-1,4,-1,6,1]]],[[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,
6,3,2,-2,5,1],[4,1,7,1],[8,1,7,1,8,-2]],[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,
1,1],[5,1,6,3,2,-2,5,1],[4,-1,7,-1,4,1,7,1]]],[[[1,1,2,1],[2,-1,3,2],[1,1,2,
1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[7,-2,4,1,7,1,4,-2]],[[1,1,2,1],[2,-1,3,2],[1,
1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,-1,7,1,4,-1,7,1]]],[[[1,1,2,1],[2,-1,3,
2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,1,7,1],[8,1,4,-2,8,-1]],[[1,1,2,
1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,1,7,-1,4,-1,7,-2,4,
-1]]],[[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,1,7,
1],[7,1,8,2,7,1,4,1]],[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,
5,1],[7,1,4,1],[8,1,7,-1,4,-2,8,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,2,4,1,6,-1,4,-1]],[[1,1,2,1],[
1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,3,4,
-1]]],[[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[7,1,4,
1],[8,1,7,-1,4,-2,8,1]],[[1,1,2,1],[2,-1,3,2],[4,-2]]],[[[1,1,2,1],[2,-1,3,
2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,1,7,1],[8,3,4,1]],[[1,1,2,1],[2,
-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,-1,7,-2,4,1]]],[[[1,1,2,1],[
2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[7,1,4,-2,7,-1]],[[1,1,2,1],[
2,-1,3,2],[4,-2]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,
2,1,1,1,2,-1,5,2],[4,1,6,1],[7,1,4,-1,6,-1,7,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,
1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,-1,4,-1,6,-1,4,
1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[6,1,4,1,6,-3,4,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,
2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,2,6,1,4,-1,6,1]]],[[[1,1,2,1],[2,-1,
3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,-2],[7,1,8,1,7,1,4,1,7,1,8,
1]],[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[7,1,4,1],[4,
1,7,1,8,2]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,
1,2,-1,5,2],[4,-1],[7,1,6,1,4,1,6,-1,7,1,6,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,-1,4,-1,6,1,4,1,6,
1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[4,-1],[4,1,6,1],[7,1,6,-1,8,-1,6,1,8,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,
1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[4,-1,6,-1,7,
2]]],[[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,1,7,1],[
7,1,8,1,4,1,7,-1,8,-1]],[[1,1,2,1],[2,-1,3,2],[4,-2]]],[[[1,1,2,1],[2,-1,3,
2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,1,7,1],[7,1,8,3]],[[1,1,2,1],[2,
-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,-1,7,-2,4,1]]],[[[1,1,2,1],[
2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[7,1,4,1,7,-2,4,-1,7,-1,4,
-2]],[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,1,7,1],[
7,1,8,2,7,1,4,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,
2,1,1,1,2,-1,5,2],[4,-1],[7,1,6,-1,4,-1,6,-1,7,1,6,2,4,-1]],[[1,1,2,1],[1,1,2,
-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,-1,4,1,
6,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,
-1,5,2],[4,-1],[6,1,4,1,6,1],[7,1,8,-2,7,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,2,4,-1,6,-1,4,-1]]],[[[1,
1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,
6,1,4,1,6,-1,4,-1,6,1,4,-1,6,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[
1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[4,-1,7,-1,6,-1,7,1,6,1]]],[[[1,1,2,
1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,1,7,-1,4,-2,7,1,4,-1,
7,-1]],[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,1,7,
1],[7,1,8,1,4,1,7,-1,8,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,
2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,1],[7,1,8,1,6,-1,7,1,8,1]],[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,
1],[6,1,7,1,4,1,6,-1,7,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,
2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,-1,4,-1,6,1,4,1,6,1]],[[1,1,2,1],[1,1,
2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,2,4,-1,6,
-1,4,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,
2,-1,5,2],[4,-1],[4,1,6,1],[8,2,7,1,8,-2,6,-1,7,-1]],[[1,1,2,1],[1,1,2,-1,3,1,
1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,1,4,1,6,-1,7,
1,6,1,7,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,-2,4,1,2,1,4,-1,3,1],[2,1,
1,1],[1,1,2,-1],[2,1,6,1],[7,1,6,-1,1,1,2,1,8,-1,7,1,6,-1,8,-1],[9,1,5,1],[10,
1,9,-1,5,-2,10,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,-2,4,1,2,1,4,-1,3,1],[5,
-2]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[4,1,6,-2,4,-1,6,1,4,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[
1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,-2,4,1,6,1]]],[[[1,1,2,1],[1,1,2,-1,3,
1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[4,1,6,1],[8,1,6,
1,7,-1,6,1,8,1,7,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,
1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,-1,6,-1],[7,1,8,1,7,1,8,1]]],[[[1,1,2,1],[1,
1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[4,-1,
6,1,4,-1,6,-1,7,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,
2,1,1,1,2,-1,5,2],[4,1,6,1],[6,2,4,1,7,-2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-2,
3,-1,2,-2],[1,1,2,1],[2,1,1,1],[7,1,6,-1,7,1,2,1,7,-1,6,1],[5,1,8,-1,5,-2,8,
2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,-1,2,-2],[1,1,2,1],[2,1,1,1],[7,1,6,-1,7,
1,2,1,7,-1,6,1],[8,1,5,-1,8,1]]],[[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[
5,1,6,3,2,-2,5,1],[7,1,4,1,7,1,4,-2,7,1,4,1]],[[1,1,2,1],[2,-1,3,2],[1,1,2,
1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,1,7,-1,4,-2,7,1,4,-1,7,-1]]],[[[1,1,2,1],[
1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,
2,4,1,7,-2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,
1,2,-1,5,2],[4,-1,6,2,4,-1,6,-1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,-1,
2,-2],[1,1,2,1],[2,1,1,1],[7,1,6,-1,7,1,2,1,7,-1,6,1],[8,2,5,1,8,-1,5,-2]],[[
1,1,2,1],[2,1,1,1],[3,1,4,-2,3,-1,2,-2],[1,1,2,1],[2,1,1,1],[7,1,6,-1,7,1,2,1,
7,-1,6,1],[8,1,5,1,8,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,-2,4,1,2,1,4,-1,3,
1],[2,1,1,1],[1,1,2,-1],[2,1,6,1],[7,1,6,-1,1,1,2,1,8,-1,7,1,6,-1,8,-1],[9,1,
5,-2,9,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,-2,4,1,2,1,4,-1,3,1],[5,-2]]],[[[
1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,
1,4,1],[6,1,7,1,6,1,7,-1,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,
1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,-1,4,-1,6,1,4,1,6,1]]],[[[1,1,2,1],[1,1,
2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[4,-1,6,
1,4,1,6,-1,7,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,
1,1,1,2,-1,5,2],[6,1,4,1,6,2,4,1,6,-1,4,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,2,4,1,7,-2]],[[1,1,
2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,
-1,6,-1,4,-1,6,-1,4,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,2,6,1,4,-1,6,1]],[[1,1,2,1],[1,1,2,-1,
3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,1,7,1,6,1,
7,1]]],[[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,1,7,
1],[7,1,8,2,7,1,4,1]],[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,
5,1],[4,1,7,-1,4,-1,7,-2,4,-1]]],[[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[
5,1,6,3,2,-2,5,1],[4,1,7,1],[7,1,8,3]],[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,
1],[5,1,6,3,2,-2,5,1],[7,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-2,3,
1],[1,1,2,1],[2,1,1,1],[6,1,7,-2,6,2,2,1],[5,1,8,-1,5,-2,8,2]],[[1,1,2,1],[2,
1,1,1],[4,1,3,-1,4,1,2,-2,3,1],[1,1,2,1],[2,1,1,1],[6,1,7,-2,6,2,2,1],[8,1,5,
-1,8,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,
2,-1,5,2],[4,-1],[6,1,4,-1,6,-1],[8,1,7,1,8,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,
1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,2,4,-1,6,
2]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[4,-1],[7,1,6,-1,4,-1,6,-1,7,1,6,2,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1,4,1,6,-1,4,-1,6,1]]],[[[
1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,
2,4,-1,6,-1,4,-1,6,-1,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1],[7,1,6,-1,4,-1,7,1]]],[[[1,1,2,1],[1,1,2,
-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,2,4,1,6,
-1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,
-1,5,2],[4,1,6,-1,4,1,6,2,4,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,-2,4,1,2,1,
4,-1,3,1],[2,1,1,1],[1,1,2,-1],[2,1,6,1],[7,1,6,-1,1,1,2,1,8,-1,7,1,6,-1,8,
-1],[5,1,9,1],[9,1,10,1,5,1,9,-1,10,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,-2,
4,1,2,1,4,-1,3,1],[5,-2]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,1],[7,1,8,1,6,-1,7,1,8,1]],[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,2,
4,1,6,2]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,
2,-1,5,2],[6,2,4,1,6,1,4,1,6,1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,1,4,-1,6,-1,7,1,6,1]]],[[[1,
1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,
-1],[7,1,6,1,4,-1,6,-1,4,1,6,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,1,7,1,4,1,6,-1,7,-1]]],[[[1,
1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,2,
4,1,6,1,4,1,6,1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[
5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,-1,4,-1,6,1,4,1,6,1]]],[[[1,1,2,1],[1,1,2,-1,
3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,-1,4,-1,6,1,
4,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,
-1,5,2],[4,1,6,1],[4,-1,6,-2,7,-2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,3,3,-1,4,
1],[1,1,2,1],[2,1,1,1],[6,1,7,2,6,-1,2,-1],[8,1,5,-1,8,1,5,-2,8,1,5,-1,8,
-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,3,3,-1,4,1],[1,1,2,1],[2,1,1,1],[6,1,7,2,6,
-1,2,-1],[5,1,8,2,5,1,8,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,4,-1,3,
1],[5,3]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,2,-1],[5,3]]],[[[1,1,2,1],[3,1,
2,1,1,1,2,-1,3,2],[4,3]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,3,3,-1,4,1],[1,1,2,1],[
2,1,1,1],[6,1,7,2,6,-1,2,-1],[5,-2],[9,1,8,-1,9,1,8,1,9,1]],[[1,1,2,1],[2,1,1,
1],[3,1,4,3,3,-1,4,1],[1,1,2,1],[2,1,1,1],[6,1,7,2,6,-1,2,-1],[5,-2,8,1,5,-1,
8,-1,5,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,
1,2,-1,5,2],[6,1,4,1],[6,1,7,-1,4,1,6,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,-1,4,1,6,1,4,-1]]],[[[
1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,
1,6,1],[6,1,7,1,4,1,6,-1,7,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,
1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,1,4,1,6,-1,7,-2]]],[[[1,1,2,1],[1,
1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,1,
4,1,6,-1,7,-2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,
1,1,2,-1,5,2],[6,1,4,1,6,2,4,1,6,-1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,
-2,4,1,2,1,4,-1,3,1],[2,1,1,1],[1,1,2,-1],[2,1,6,1],[7,1,6,-1,1,1,2,1,8,-1,7,
1,6,-1,8,-1],[9,1,5,1,9,-2,5,1,9,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,-2,4,1,
2,1,4,-1,3,1],[5,-2]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[
5,1,2,1,1,1,2,-1,5,2],[6,2,4,-1,6,-2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,
2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,1]]],[[[1,1,2,1],[2,-1,3,2],[1,
1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[7,1,4,1,7,-2,4,1,7,-1]],[[1,1,2,1],[2,-1,
3,2],[4,-2]]],[[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[
4,1,7,-2,4,1]],[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[
4,-1,7,-1,4,-1,7,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[
5,1,2,1,1,1,2,-1,5,2],[6,1,4,1],[7,2,6,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,
3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,-1,4,-1,6,1,4,1]]],[[[1,1,2,
1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,-1,7,
1,6,-1,2,-2],[8,2,5,-1,8,-2]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,
1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,-1,7,1,6,-1,2,-2],[5,-1,8,1]]],[[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,
-1,4,-1,6,1,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,
1,1,1,2,-1,5,2],[6,1,4,1,6,-2]]],[[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[
5,1,6,3,2,-2,5,1],[4,1,7,-1,4,1,7,-2,4,1]],[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,
1,1,1],[5,1,6,3,2,-2,5,1],[4,-2,7,1,4,1,7,1]]],[[[1,1,2,1],[2,-1,3,2],[1,1,2,
1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,1,7,1],[8,2,7,1,4,1]],[[1,1,2,1],[2,-1,3,
2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,-2,7,1,4,1,7,1]]],[[[1,1,2,1],[1,
1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1],[4,1,
6,1,7,-2,6,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,
1,1,2,-1,5,2],[4,1,6,-2,4,-1,6,1,4,1,6,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,
-1,2,-2],[1,1,2,1],[2,1,1,1],[7,1,6,-1,7,1,2,1,7,-1,6,1],[5,1,8,-1,5,-2,8,1,5,
1,8,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,-1,2,-2],[5,-2]]],[[[1,1,2,1],[2,1,
1,1],[3,1,4,3,3,-1,4,1],[1,1,2,1],[2,1,1,1],[6,1,7,2,6,-1,2,-1],[5,1,8,-1,5,
-2,8,1,5,1,8,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,3,3,-1,4,1],[5,-2]]],[[[1,1,2,
1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,1,7,-1,4,1,7,-2,4,
1]],[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,1,7,-2,4,
-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[4,1,6,1],[6,1,7,1,4,1,6,-1,7,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,
2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1],[7,1,6,-1,4,1,7,1]]],[[[1,1,2,
1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[7,-2,4,-1]]],[[[1,1,2,
1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,-1,7,-1]]],[[[1,1,2,
1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,1,7,-1,4,1]]],[[[1,1,
2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,
1],[6,1,7,4,4,1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,2],[4,-5]],[[1,1,2,1],[1,1,2,
-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,1,4,1,
7,-1,6,-1,7,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,
1,1,2,-1,5,2],[6,1,4,-1,6,2,4,1,6,-1,4,1,6,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,
2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,2,4,1,6,-1,4,1,6,
1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[4,1,6,2,4,1,6,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,
1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,-3,4,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,
3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,2,4,1,6,2,4,-1]]],[[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,
1],[4,1,6,-2,7,2,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[
5,1,2,1,1,1,2,-1,5,2],[6,1,4,1],[6,1,7,-1,4,1,6,1,7,1]],[[1,1,2,1],[1,1,2,-1,
3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,2,4,1,6,-1,
4,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,
-1,5,2],[6,1,4,1,6,-1,4,-1,6,1,4,1,6,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,
3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,1,7,4,4,1]],[[1,1,2,
1],[3,1,2,1,1,1,2,-1,3,2],[4,-5]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[
1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,2,4,1,6,-1,4,1,6,1]],[[1,1,2,1],[
1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,
2,6,1,7,1,4,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,
2,1,1,1,2,-1,5,2],[4,1,6,1],[6,1,7,4,4,1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,2],[
4,-5]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[4,1,6,1],[7,1,4,1,7,-1,6,-1,7,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,
2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1],[6,1,7,-1,4,1,6,1,7,1]]],[[[1,
1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,1,7,1],[7,1,8,2,7,
1,4,1]],[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,1,7,
1],[7,1,4,1,8,2]],[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,
1],[4,1,7,1],[8,1,4,-2,8,-1]],[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,
6,3,2,-2,5,1],[7,1,4,-1,7,-1,4,-2,7,1]]],[[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,
1,1,1],[5,1,6,3,2,-2,5,1],[7,-2],[8,1,4,-2,8,1]],[[1,1,2,1],[2,-1,3,2],[1,1,2,
1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[7,1,4,-1,7,1,4,-1]],[[1,1,2,1],[2,-1,3,2],[1,
1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,1,7,1],[7,1,8,3]],[[1,1,2,1],[2,-1,3,
2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,1,7,1],[8,3,4,1]]],[[[1,1,2,1],[
1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,
1,4,1,6,-1,7,1,6,1,7,1,4,-1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,2],[4,-5]],[[1,1,
2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,
1],[6,1,7,4,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,
1,1,1,2,-1,5,2],[6,1,4,1,6,-1,4,-1,6,1,4,1,6,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,
1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,1,7,4,4,1]],[[1,
1,2,1],[3,1,2,1,1,1,2,-1,3,2],[4,-5]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,-1,6,-1],[8,1,7,1,8,1,7,
1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[6,1,4,-1,6,2,4,1,6,-1,4,1,6,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,1,4,1,7,-1,6,-1,7,2]],[[1,1,
2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,
-1,6,2,4,1,6,-1,4,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,-1,6,-1],[7,1,8,1,7,1,8,1]],[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,
1],[7,3,4,1,7,-1,6,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[4,-1,6,1,4,1,6,-1,7,1,6,1,7,1]],[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,
1],[6,2,4,1,7,-2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,
2,1,1,1,2,-1,5,2],[4,1,6,1],[4,1,6,-2,7,2,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,
2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,1,4,1,7,-1,6,-1,7,
2]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[4,1,6,1],[4,-1,7,-1,6,-1],[8,1,7,1,8,1,7,1]],[[1,1,2,1],[3,1,2,1,1,1,2,
-1,3,2],[4,-5]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,
1,1,2,-1,5,2],[4,1,6,1],[4,-1,7,-1,6,-1],[7,1,8,1,7,1,8,1]],[[1,1,2,1],[1,1,2,
-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,2,4,1,6,
-1,4,1,6,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,
1,1,2,-1,5,2],[4,1,6,1],[6,1,4,1,6,-1,7,1,6,1,7,1,4,-1]],[[1,1,2,1],[3,1,2,1,
1,1,2,-1,3,2],[4,-5]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,
1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,1,4,1,7,-1,6,-1,7,2]],[[1,1,2,1],[1,1,2,-1,3,
1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,1,4,-1,6,-1,
7,1,6,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,
2,-1,5,2],[4,1,6,1],[7,1,4,1,7,-1,6,-1,7,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1],[6,1,7,-1,4,1,6,1,7,
1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[6,1,4,1,6,-1,4,-1,6,1,4,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,1,4,-1,6,-1,7,1,6,1]]],[[[1,
1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,
6,1],[4,-1,6,-1,7,-1,6,2,4,-1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,2,4,1,6,-1,4,1,6,1]],[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,
1],[4,-1,7,-1,6,-1],[7,1,8,1,7,1,8,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,
2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,1,4,1,7,-1,6,-1,7,2]]],[[[
1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,
1,6,1],[6,1,4,1,6,-1,7,1,6,1,7,1,4,-1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,2],[4,
-5]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[4,1,6,1],[4,1,6,-2,7,2,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[
1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,1,4,-1,6,-2,4,1]]],[[[1,1,2,1],[1,
1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,
-1,6,-1],[8,1,7,1,8,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[6,2,4,1,6,2,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,2,4,1,6,2,4,-1]],[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,2,
4,1,6,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1],[1,1,2,1],[2,1,1,
1],[2,1,7,-1,6,-1,7,1,6,-1,2,-2],[5,1,8,1],[8,1,5,1,8,-1,9,1,8,1,9,1,5,-1]],[[
1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,1,3,-1,2,-2],[5,-5]],[[1,1,2,1],[2,1,1,
1],[2,1,4,1,3,-1,4,1,3,-1,4,1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,-1,7,1,6,-1,2,
-2],[5,1,8,1],[9,1,5,1,9,-1,8,-1,9,2]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,
3,-1,4,1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,-1,7,1,6,-1,2,-2],[5,1,8,1],[9,1,5,
-1,8,-1,9,1,8,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,
2,1,1,1,2,-1,5,2],[4,1,6,1],[6,1,7,4,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,
3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1],[6,1,7,-1,4,1,6,1,7,1]],[[
1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,
1,6,1],[7,1,4,1,7,-1,6,-1,7,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,
1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,2,4,1,6,-1,4,1,6,1]]],[[[1,1,2,1],[
1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,
1,6,1],[7,1,8,-2,7,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[
5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,2,4,1,6,-1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,
1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[4,-1,6,2,4,-1,7,
-2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[4,1,6,1],[4,-1,6,-2,7,2]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,
1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,1,4,1,7,-1,6,-1,7,2]],[[1,1,2,1],[
1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,2,4,1,6,2,
4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[4,-1],[6,1,4,1,6,1],[7,1,8,-2,7,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,
3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,-1,6,-1],[7,1,8,1,7,1,
8,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,
-1,5,2],[4,1,6,1],[6,1,7,4,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[
1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,1,4,-1,6,-2,4,1]],[[1,1,2,1],[1,1,
2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,1,4,
1,7,-1,6,-1,7,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,
1,1,1,2,-1,5,2],[6,1,4,-1,6,2,4,1,6,-1,4,1,6,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,
1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,1,6,1],[7,1,8,
-2,7,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,
-1,5,2],[4,1,6,2,4,1,6,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,-1,6,-1],[7,1,8,1,7,1,8,1]],[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,
1],[6,1,7,1,6,1,7,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[
5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,2,4,1],[7,1,8,-1,7,1,8,1]],[[1,1,2,1],[3,1,
2,1,1,1,2,-1,3,2],[4,-5]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[4,-1,7,-1,6,-1],[7,1,8,1,7,1,8,1]],[[1,1,
2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,
-1,6,2,4,1,6,-1,4,1,6,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,1,4,1,6,-1,7,1,6,1,7,1,4,-1]],[[1,1,2,
1],[3,1,2,1,1,1,2,-1,3,2],[4,-5]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[
1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,2,4,1,6,-1,4,1,6,1]],[[1,1,2,1],[
1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,1,
4,-1,6,-2,4,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,
1,1,1,2,-1,5,2],[4,1,6,1],[4,-1,7,-1,6,-1],[7,1,8,1,7,1,8,1]],[[1,1,2,1],[1,1,
2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1],[6,1,7,
-1,4,1,6,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,
1,1,1,2,-1,5,2],[4,1,6,1],[7,1,6,2,7,2,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,2,4,1,6,-1,4,1,6,
1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[4,1,6,1],[6,2,4,1],[7,1,8,-1,7,1,8,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,1,7,1,6,1,7,1]],[[1,
1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,
6,1],[4,-1,7,-1,6,-1],[7,1,8,1,7,1,8,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,
2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,2,4,1,6,-1,4,1,6,1]]],[[[
1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,
-1],[6,1,4,-1,6,-1],[7,1,8,1,7,1,8,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,
2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,2,4,1,6,2,4,1]],[[1,1,2,1],[1,1,2,-1,
3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,-1,6,
-1],[8,1,7,1,8,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[
5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,1,7,1,6,1,7,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,
1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,1,6,1],[7,1,
8,-2,7,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,
2,-1,5,2],[4,1,6,2,4,1,6,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,
2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[4,-1,6,2,4,-1,7,-2]],[[1,1,2,1],[1,1,2,
-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[4,-1,6,
-2,7,2]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,
2,-1,5,2],[4,-1],[6,1,4,-1,6,-1],[8,1,7,1,8,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,
1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,2,4,1,6,2,4,1]],[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,
1],[7,2,6,1,7,1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[
5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,1,7,1,6,1,7,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,
1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,1,6,1],[7,1,
8,-2,7,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,
2,-1,5,2],[4,1,6,2,4,1,6,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,
2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[4,-1,6,2,4,-1,7,-2]],[[1,1,2,1],[1,1,2,
-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,2,4,1,6,
-1,4,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,
2,-1,5,2],[4,1,6,1],[7,3,4,1,7,-1,6,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,
2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,1,7,1,6,1,7,1]],[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,
1,4,-1,6,-1],[8,1,7,1,8,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,
1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,2,4,1,6,-1,4,1,6,1]]],[[[1,1,2,1],[
1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,
1,4,1,7,-1,6,-1,7,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,
1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,2,4,1,7,-2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,-1,4,-1,6,1,4,1,6,
1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[6,1,4,1,6,1,4,-1,6,-2,4,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[
1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[4,-1,7,-1,6,-1],[7,1,8,1,7,1,8,
1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,2],[4,-5]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,2,4,1,6,-1,4,1,6,
1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[6,1,4,1,6,-3,4,1,6,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,
2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,1,4,1,6,-1,7,1,6,1,7,1,4,-1]],[[1,1,
2,1],[3,1,2,1,1,1,2,-1,3,2],[4,-5]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,2,4,1,6,-1,4,1,6,1]],[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,
6,-1,4,-1,6,1,4,1,6,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,1,7,2,6,2,7,1]],[[1,1,2,1],[1,1,2,-1,3,
1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1],[6,1,7,-1,4,1,
6,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,
-1,5,2],[4,1,6,1],[7,1,4,-1,6,-1,7,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,
3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,-2,4,-1,6,2]]],[[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,
1],[4,-1,6,-1,7,-1,6,2,4,-1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[
1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,2,4,1,6,-1,4,1,6,1]],[[1,1,2,1],[
1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,
1,4,1,7,-1,6,-1,7,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,
1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,3,4,1,7,-1,6,-1]]],[[[1,1,2,1],[2,1,1,1],[2,
1,4,1,3,-1,4,1,3,-1,4,1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,-1,7,1,6,-1,2,-2],[5,
1,8,1],[8,1,5,1,8,-1,9,1,8,1,9,1,5,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,
1,3,-1,2,-2],[5,-5]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1],[1,1,2,
1],[2,1,1,1],[2,1,7,-1,6,-1,7,1,6,-1,2,-2],[8,1,5,-1,8,2,5,1,8,-1,5,1,8,1]],[[
1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,
6,-1,7,1,6,-1,2,-2],[8,1,5,1,8,1,5,-1,8,-2,5,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,
1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[4,-1,7,-1,6,-1],[
7,1,8,1,7,1,8,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,
1,1,1,2,-1,5,2],[6,1,4,1],[6,1,7,-1,4,1,6,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,
1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,1,7,4,4,1]],[[1,
1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,
4,-1,6,2,4,1,6,-1,4,1,6,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,
2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,2,4,1],[7,1,8,-1,7,1,8,1]],[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,3,4,-1,
6,-2,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,
2,-1,5,2],[4,1,6,1],[4,-1,7,-1,6,-1],[7,1,8,1,7,1,8,1]],[[1,1,2,1],[1,1,2,-1,
3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,-1,6,
-1],[8,1,7,1,8,1,7,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,1,7,2,6,2,7,1]],[[1,1,2,1],[1,1,2,-1,3,
1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,2,4,1,7,
-2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[6,1,4,-1,6,2,4,1,6,-1,4,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1],[6,1,7,-1,4,1,6,1,7,1]]],[[[1,1,
2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[
4,1,6,1],[7,1,6,-1,7,-1],[9,1,8,1,9,1,8,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,
3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,2,4,1,7,-2]],[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,-2,
4,1,6,2,4,1,6,-1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[
5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,1,4,-1,6,-2,4,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,
1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,-1,6,-1],[8,
1,7,1,8,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,
1,1,2,-1,5,2],[4,1,6,2,4,1,6,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[
1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,2,6,1,7,1,4,-1]],[[1,1,2,1],[1,1,
2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,2,4,1,6,2,
4,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,
-1,5,2],[4,-1],[4,1,6,1],[8,1,7,1,8,-1,6,-1,7,1,6,-1,7,-1,8,1]],[[1,1,2,1],[3,
1,2,1,1,1,2,-1,3,2],[4,-5]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,2,6,1,4,-1,6,1,4,1,6,-1,7,1]],[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,
1],[7,1,4,1,6,-2,7,-1,6,-1,4,1,6,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,
2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,2],[7,1,8,1,7,1,8,-1,4,1,6,
1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,2],[4,-5]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,2,4,1,6,-1,4,1,6,
1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[4,1,6,1],[7,1,4,-1,6,-1,7,1,6,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,
2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,1,6,1],[7,1,8,-2,7,-1]],[[
1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,
1,4,1,6,2,4,1,6,-1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[4,-1,6,2,4,-1,7,-2]],[[1,1,2,1],[1,1,2,
-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1],[6,1,7,1,
6,1,7,-1,4,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,
1,1,1,2,-1,5,2],[4,-1],[6,1,4,-1,6,-1],[7,1,8,1,7,1,8,1]],[[1,1,2,1],[1,1,2,
-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,2,4,1,6,2,4,
1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[4,-1,6,2,4,1,6,2,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,1,7,1,6,1,7,1]]],[[[1,1,2,1],[1,1,2,-1,
3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,1,6,1],[
7,1,8,-2,7,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,
1,1,2,-1,5,2],[4,1,6,1],[4,-1,6,-2,7,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,
2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[4,-1,6,2,4,-1,7,-2]],[[1,1,
2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,
1],[6,1,7,1,6,1,7,-1,4,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,
2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,1,4,1,7,-1,6,-1,7,2]],[[1,1,2,1],[1,
1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,2,
6,1,7,1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,
1,1,2,-1,5,2],[4,-1,6,2,4,1,6,-3,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,
2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,2,4,1,6,-1,4,1,6,1]]],[[[1,
1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,
6,1],[7,3,4,1,7,-1,6,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,2,4,1,6,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,2,4,1,6,-1,4,1,6,
1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[6,1,4,1,6,-3,4,1,6,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,
2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[4,-1,6,2,4,-1,7,-2]],[[1,1,2,1],[1,1,2,
-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,2,4,1,6,
2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[4,1,6,1],[4,-1,6,-2,7,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,
2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,2,4,1,6,-1,4,-1]]],[[[1,1,2,1],[1,1,2,
-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[4,-1,6,1,
4,1,6,-1,7,1,6,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[
5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,2,4,1,7,-2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,
2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,1,7,4,4,1]],[[1,1,
2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,
-1,6,-2,4,-1,6,2]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,
1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,2,4,1],[7,1,8,-1,7,1,8,1]],[[1,1,2,1],[1,1,2,
-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,2,4,1,6,
2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[4,1,6,1],[6,1,7,4,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,2,4,1,6,-1,4,1,6,1]]],[[[1,1,2,1],[1,1,
2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1],[6,1,7,
1,6,1,7,-1,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,
1,1,1,2,-1,5,2],[4,1,6,2,4,1,6,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[4,-1,6,-2,7,2]],[[1,1,2,1],[1,
1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,2,4,
1,6,-1,4,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,
1,1,2,-1,5,2],[4,1,6,1],[6,2,4,1],[7,1,8,-1,7,1,8,1]],[[1,1,2,1],[1,1,2,-1,3,
1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,3,4,-1,6,-2,4,-1]],[[
1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,
1,6,1],[7,3,4,1,7,-1,6,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,-1,6,-1],[8,1,7,1,8,1,7,1]]],[[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,
1],[4,-1,7,-1,6,-1],[7,1,8,1,7,1,8,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,
2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,-1,4,1,6,1]],[[1,1,2,1],[1,1,2,
-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,1,4,1,
7,-1,6,-1,7,2]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,
1,1,1,2,-1,5,2],[4,1,6,1],[4,-1,7,-1,6,-1],[7,1,8,1,7,1,8,1]],[[1,1,2,1],[1,1,
2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,3,4,1,6,-1]],[[
1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,
1,6,1],[7,1,4,1,7,-1,6,-1,7,2]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[
1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,-1,6,-1],[7,1,8,1,7,1,8,1]],[[1,
1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,
6,1],[4,-1,6,-1,7,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,
1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,-1,6,-1],[8,1,7,1,8,1,7,1]]],[[[1,1,2,1],[1,
1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,1,
6,1],[7,1,8,-2,7,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,
1,2,1,1,1,2,-1,5,2],[4,1,6,1],[4,-1,6,1,4,1,6,-1,7,2]],[[1,1,2,1],[1,1,2,-1,3,
1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,2,4,1,6,2]]],[[[1,
1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,
-1],[6,1,4,1,6,1],[7,1,8,-2,7,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1],[4,1,6,1,7,-1,4,-1,6,1,7,1]],[[
1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,
1,6,2,4,1,6,2]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,
1,1,1,2,-1,5,2],[4,-1],[6,1,4,-1,6,-1],[7,1,8,1,7,1,8,1]],[[1,1,2,1],[1,1,2,
-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,-2,4,1,6,
1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[4,-1],[6,1,4,-1,6,-1],[8,1,7,1,8,1,7,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,2,4,-1,6,2]],[[1,1,
2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,
1],[7,1,6,-1,4,-1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[
5,1,2,1,1,1,2,-1,5,2],[4,-1,6,2,4,1,6,2,4,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,
2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[4,-1,7,-1,6,-1],[7,
1,8,1,7,1,8,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,
1,1,2,-1,5,2],[4,-1,6,2,4,1,6,1,4,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,
2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,2,4,1,6,-1,4,1,6,1]]],[[[
1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,1,7,1],[8,1,7,1,
8,-2]],[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,-1,7,
-1,4,1,7,1]],[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[7,
1,4,1,7,-1,4,-1,7,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,-1,6,-1],[8,1,7,1,8,1,7,1]],[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,
1],[4,-1,6,-1,7,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,
2,1,1,1,2,-1,5,2],[4,1,6,1],[7,3,6,1,4,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,1,6,1],[7,1,8,-2,7,
-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[6,1,4,1],[6,1,7,-1,4,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[
1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,2,4,1,6,2]]],[[[1,1,2,1],[1,1,2,-1,3,1,
1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,-1,6,-1],[8,
1,7,1,8,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,
1,1,2,-1,5,2],[4,-1,6,1,4,1,6,-1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,
2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1],[7,1,6,-1,4,-1,7,1,6,-1]]],[[[
1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,
1,6,1],[4,-1,6,-1,7,1,6,1,4,-1,6,1,7,1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,2],[4,
-5]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[4,1,6,1],[4,-1,7,-1,6,-1],[7,1,8,1,7,1,8,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,
1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,1,6,1],[7,1,8,
-2,7,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,
-1,5,2],[6,-2,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,
1,2,1,1,1,2,-1,5,2],[6,3,4,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[
1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,2,4,1,6,-1,4,1,6,1]],[[1,1,2,1],[
1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,1,4,
-1,6,2,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,
1,2,-1,5,2],[4,1,6,1],[6,1,7,3,6,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,
2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,2,4,1,6,2]],[[1,1,2,1],[1,1,2,-1,
3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1],[4,-1,7,
2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[6,1,4,1,6,1,4,1,6,1,4,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[
1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[7,1,6,1,4,1,6,-1,7,1,6,2]],[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,
6,-1,4,-1,6,-1,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,
1,2,1,1,1,2,-1,5,2],[6,2,4,1,6,1,4,1,6,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,
1,3,-1,4,1,3,-1,4,1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,-1,7,1,6,-1,2,-2],[5,1,8,
1],[9,1,5,1,9,-1,8,-1,9,2]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1],[
1,1,2,1],[2,1,1,1],[2,1,7,-1,6,-1,7,1,6,-1,2,-2],[8,1,5,1,8,-1,5,-1,8,2,5,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,1,3,-1,2,-2],[5,-5]]],[[[1,1,2,1],[
1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,
1,4,1,7,-1,6,-1,7,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,
1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,-1,4,-1,6,2,4,-1]],[[1,1,2,1],[3,1,2,1,1,1,2,
-1,3,2],[4,-5]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,
1,1,1,2,-1,5,2],[4,-1],[6,1,4,-1,6,-1,7,-1,6,1,4,1,6,1,7,1]],[[1,1,2,1],[1,1,
2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,2,4,-1,6,-1,4,
1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[4,-1,6,1,4,1,6,3]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,1,6,1],[7,1,8,-2,7,-1]],[[1,1,2,1],[1,
1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,-1,4,
-1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,
-1,5,2],[4,1,6,2,4,1,6,2]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,
2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,2,4,1,6,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,-2,4,1]],[[1,1,2,1],[
1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,-2,4,
-1,6,1,4,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,
1,1,2,-1,5,2],[4,-1],[6,1,4,1,6,1],[7,1,8,-2,7,-1]],[[1,1,2,1],[1,1,2,-1,3,1,
1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,-1,4,-1,6,1]],[[
1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,
-1],[4,1,6,-1,7,1,6,1,4,1,6,-1,7,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,
2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[4,-1,7,-1,6,-1],[7,1,8,1,7,1,
8,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[4,1,6,2,4,-1,6,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,1,4,1,7,-1,6,-1,7,2]]],[[[1,1,2,1],[1,
1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[4,-1,
6,-1,7,1,6,1,4,-1,6,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1],[6,1,7,-1,4,1,6,1,7,1]],[[1,1,2,1],[1,1,2,
-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[4,-1,7,
-1,6,-1],[7,1,8,1,7,1,8,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,
2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[4,-1,6,-1,7,-1,6,2,4,-1,7,1]],[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,
1],[6,1,4,1,6,-1,7,1,6,1,7,1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,1,4,1,7,-1,6,-1,7,2]]],[[[1,
1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,
6,1,4,1,6,-2,4,1,6,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[
5,1,2,1,1,1,2,-1,5,2],[4,1,6,2,4,1,6,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,
2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[4,-1,6,-2,7,2]]],[[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,
1],[4,-1,6,1,4,1,6,-1,7,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,2,4,1,6,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,2,4,1,6,2,4,-1]]],[[[1,1,
2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[
6,1,4,1,6,1],[7,1,8,-2,7,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,
2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[4,-1,6,1,4,1,6,-1,7,2]],[[1,1,2,1],[1,
1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,2,4,
1,6,-1,4,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,
1,1,2,-1,5,2],[4,-1],[6,1,4,1,6,1],[7,1,8,-2,7,-1]],[[1,1,2,1],[1,1,2,-1,3,1,
1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,-1,4,-1,6,1,4,1,6,
1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[6,1,4,1],[6,1,7,1,6,1,7,-1,4,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,
2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,2,4,1,6,-1,4,1,6,1]],[[1,1,
2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,
2,4,-1,6,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,
1,2,-1,5,2],[6,1,4,1,6,1,4,-1,6,-2,4,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,
3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,2,6,1,7,1,4,-1]],[[1,1,
2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,
2,4,-1,6,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,
1,2,-1,5,2],[4,-1,6,2,4,1,6,2,4,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,
2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[4,-1,7,-1,6,-1],[7,1,8,1,7,1,
8,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[4,1,6,-1,4,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1],[6,1,7,-1,4,1,6,1,7,1]]],[[[1,1,2,1],[1,1,
2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[4,-1,7,
-1,6,-1],[8,1,7,1,8,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1],[6,1,7,-1,4,1,6,1,7,1]],[[1,1,2,1],[1,1,2,
-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,-2,4,1,6,2,4,
1,6,-1,4,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,
1,1,2,-1,5,2],[4,-1],[6,1,4,-1,6,-1],[8,1,7,1,8,1,7,1]],[[1,1,2,1],[1,1,2,-1,
3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,1,4,-1,6,
-1,7,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,
1,2,-1,5,2],[6,1,4,1,6,1,4,1,6,1,4,-1,6,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,1,4,1,6,-1,7,1,6,1,
7,1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,
2,-1,5,2],[6,3,4,1,6,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,1,4,-1,6,-2,4,1]]],[[[1,1,2,1],[1,1,2,-1,
3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,-1,6,
-1],[8,1,7,1,8,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[
5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,1,4,-1,6,-2,7,-1]],[[1,1,2,1],[1,1,2,-1,3,
1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,-1,4,-1,6,1,4,
1,6,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,
-1,5,2],[4,1,6,1],[4,-1,7,-1,6,-1],[8,1,7,1,8,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,
1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,1,4,-1,6,-2,4,
1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[4,1,6,1],[4,-1,7,-1,6,-1],[7,1,8,1,7,1,8,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,
1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,2,6,1,7,1,4,
-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[4,1,6,-3,4,-1,6,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,2,4,1,6,2,4,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,
1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[4,-1,6,1,4,-1,6,
-1,7,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,
-1,5,2],[4,1,6,1],[6,2,4,1,7,-2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[
1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,1,6,1],[7,1,8,-2,7,-1]]],[[[1,1,
2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[
4,1,6,1],[7,1,8,-1,6,-1,7,1,6,1,4,1,8,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,
3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,1,4,-1,6,-2,4,1]],[[1,1,
2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[
4,1,6,1],[7,1,6,-1,7,-1],[9,1,8,1,9,1,8,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,1,6,1],[7,1,8,-2,7,
-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[4,1,6,1],[4,-1,6,-2,7,-2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,
1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,-1,4,-1,6,1,4,1,6,1]]],[[[1,1,2,1],[
1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,
-1,6,-1],[7,1,8,1,7,1,8,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,-2,4,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,-2,4,-1,6,1,4,1,6,1]]],[[[
1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,
-1],[6,1,4,1,6,1],[7,1,8,-2,7,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,-1,4,-1,6,1]],[[1,1,2,1],[1,1,
2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[4,-1,6,
2,4,-1,7,-2]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,
1,1,2,-1,5,2],[4,-1],[6,1,4,-1,6,-1],[8,1,7,1,8,1,7,1]],[[1,1,2,1],[1,1,2,-1,
3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,-2,4,1,6,1]],[[
1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,
1,6,-2,4,-1,6,1,4,1,6,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,2,4,1,6,-1,4,1,6,1]],[[1,1,2,1],[1,1,2,
-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,-3,4,-1,6,
-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[6,1,4,1],[6,1,7,-1,4,1,6,1,7,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,
2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,-1,6,-1],[7,1,8,1,7,1,8,
1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[6,1,4,-1,6,2,4,1,6,1,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,
1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,-2,4,-1,6,1,4,1,6,1]]],[[[1,1,2,1],[1,1,
2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[4,-1,6,
2,4,-1,7,-2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,
1,2,-1,5,2],[6,1,4,1],[6,1,7,-1,4,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,
2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,2,4,1,6,2]]],[[[1,1,2,1],[1,1,
2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,3,4,
1,7,-1,6,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,
1,2,-1,5,2],[4,-1,6,2,4,1,6,1,4,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,
2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,2,4,1,6,-1,4,1,6,1]]],[[[1,
1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,
-1],[7,1,6,1,4,-1,6,2,4,1,6,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[4,-1,7,-1,6,-1,7,1,6,1]],[[1,1,
2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[
6,1,4,-1,6,-1],[8,1,7,1,8,1,7,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[7,1,6,-1,4,-1,6,-1,7,1,6,2,4,
-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[6,1,4,-1,6,-1,4,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,2,6,1,7,1,4,-1]]],[[[1,1,2,1],[1,1,2,
-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,-1,6,
-1],[7,1,8,1,7,1,8,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[
5,1,2,1,1,1,2,-1,5,2],[4,-1],[7,1,6,-1,7,-1,6,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,
1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,2,4,1,6,2,4,-1]]],[[[
1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,
1,6,1],[4,-1,7,-1,6,-1],[8,1,7,1,8,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,
3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[7,1,6,1,4,-1,6,-1,4,1,6,2,7,
1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[6,1,4,-1,6,2,4,1,6,-1,4,1,6,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,2,4,1,6,2,4,-1]],[[1,1,2,1],[1,1,
2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,2,4,1,
6,-1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,
2,-1,5,2],[4,1,6,2,4,1,6,2]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,
1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[4,-1,6,-1,7,-1,6,2,4,-1,7,1]],[[1,1,
2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[
4,1,6,1],[8,1,6,1,7,-1,6,1,8,1,7,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,2,4,1,6,-1,4,1,6,1]]],[[[1,1,
2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,
2,4,1,6,1,4,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,
2,1,1,1,2,-1,5,2],[4,1,6,2,4,1,6,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1],[6,1,7,-1,4,1,6,1,7,1]]],[[[1,1,
2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,
1],[4,-1,7,-1,6,-1],[8,1,7,1,8,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,
2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1],[6,1,7,-1,4,1,6,1,7,1]],[[1,1,
2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,
1],[4,-1,7,-1,6,-1],[7,1,8,1,7,1,8,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,
2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,1,7,1,4,-1,7,-2,6,1,4,-1,
6,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[4,1,6,1],[7,1,4,1,7,-1,6,-1,7,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,
2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[4,-1,6,-1,7,-1,6,2,4,-1,7,
1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[4,1,6,1],[7,2,6,1,4,-1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,2,4,1,6,2]],[[1,1,2,1],[1,1,2,-1,3,
1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,1,7,1,6,1,7,
1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[6,1,4,-1,6,2,4,1,6,-1,4,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,2,6,1,4,-1,6,1]],[[1,1,2,1],[
1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,1,
4,-1,6,-2,4,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,
1,1,1,2,-1,5,2],[4,-1],[6,1,4,-1,6,-1],[7,1,8,1,7,1,8,1]],[[1,1,2,1],[1,1,2,
-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,-1,4,1,6,
1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[6,1,4,1,6,1,4,-1,6,-2,4,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[
1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[7,1,6,-1,4,-1,6,-1,7,1,6,2,4,-1]],[[1,
1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,
6,1],[6,2,4,-1,7,-2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,
1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,-1,6,-1],[8,1,7,1,8,1,7,1]]],[[[1,1,2,1],[1,
1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,
-1,6,-1],[7,1,8,1,7,1,8,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[6,3,4,1,6,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,
2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1],[6,1,7,-1,4,1,6,1,7,1]]],[[[
1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,
1,6,1],[7,1,4,1,7,-1,6,-1,7,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,
1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,3,4,1,6,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,1,4,-1,6,-2,4,1]]],[[[
1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,
-1],[6,1,4,-1,6,-1],[7,1,8,1,7,1,8,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,
2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,-2,4,1,6,1,4,1,6,1]],[[1,1,2,1],[
1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,2,4,-1,6,
-1,4,-1,6,-1,4,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,
1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,1,4,-1,6,-2,4,-1,6,1,7,1]],[[1,1,2,1],[1,1,2,
-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,1,4,-1,6,
-2,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,
-1,5,2],[4,1,6,1],[4,-1,7,-1,6,-1],[7,1,8,1,7,1,8,1]]],[[[1,1,2,1],[1,1,2,-1,
3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1],[4,1,6,1,7,
-1,4,-1,6,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,
1,1,1,2,-1,5,2],[4,1,6,2,4,1,6,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1],[6,1,7,1,6,1,7,-1,4,1]]],[[[1,1,
2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,
1,6,2,4,1,6,-1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,
1,2,1,1,1,2,-1,5,2],[4,1,6,-1,4,1,6,2,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,
3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,2,4,1,6,2]]],[[[1,1,2,1],[1,
1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,
-1,6,-1],[7,1,8,1,7,1,8,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,-1,4,-1,6,2,4,-1]],[[1,1,2,1],[1,1,2,-1,
3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,2,4,1,6,2,4,1]]],[[[
1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,
1,6,1,4,1,6,-1,4,-1,6,2,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,
2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,2,4,1,6,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,1,4,-1,6,-2,4,1]]],[[[
1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,
1,4,1],[4,1,6,1,7,-1,4,-1,6,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,1,7,1,6,1,7,1]],[[1,1,2,1],[
1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1],[6,
1,7,1,6,1,7,-1,4,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[
5,1,2,1,1,1,2,-1,5,2],[4,-1],[4,1,6,1],[7,1,6,-1,7,-1],[9,1,8,1,9,1,8,1]],[[1,
1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,
6,2,4,-1,6,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,
1,1,2,-1,5,2],[6,1,4,1,6,1,4,-1,6,-2,4,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[4,1,6,1],[7,1,6,-1,8,-1,
6,1,8,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,
1,2,-1,5,2],[4,1,6,2,4,1,6,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,
1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[4,-1,6,-1,7,2]]],[[[1,1,2,1],[1,1,2,
-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[7,1,6,1,4,1,
6,-1,7,1,6,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,
1,1,2,-1,5,2],[4,-1,6,2,4,1,6,2,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,
2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,-1,4,-1,6,1,4,1,6,1]]],[[[1,
1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,1,7,1],[7,1,8,2,7,
1,4,1]],[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,1,7,
-1,4,-1,7,-2,4,-1]],[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,
1],[4,1,7,1],[7,1,4,1,8,2]]],[[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,
6,3,2,-2,5,1],[4,1,7,1],[8,3,4,1]],[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[
5,1,6,3,2,-2,5,1],[4,-1,7,-2,4,1]],[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[
5,1,6,3,2,-2,5,1],[4,1,7,1,4,-2,7,-2]]],[[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,
1,1],[5,1,6,3,2,-2,5,1],[7,1,4,1],[8,1,7,-1,4,-2,8,1]],[[1,1,2,1],[2,-1,3,2],[
4,-2]],[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,1,7,
1],[7,1,4,1,8,2]]],[[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,
1],[4,1,7,1],[7,1,8,1,4,1,7,-1,8,-1]],[[1,1,2,1],[2,-1,3,2],[4,-2]],[[1,1,2,
1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,1,7,1],[8,1,4,-2,8,
-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[4,1,6,1,4,1,6,-1,4,-1,6,2,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,1,4,-1,6,-2,4,1]],[[1,1,2,1],[
1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[7,1,6,
1,4,-1,6,-1,7,1,6,-1,4,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,
2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,-1,4,-1,6,1,4,1,6,1]],[[1,1,2,1],[1,1,
2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,-1,4,
-1,6,-1,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,
1,2,-1,5,2],[4,1,6,1],[7,1,4,-1,6,-1,7,1,6,1]]],[[[1,1,2,1],[2,-1,3,2],[1,1,2,
1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,1,7,1],[7,1,4,1,8,2]],[[1,1,2,1],[2,-1,3,
2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[7,1,4,-1,7,1,4,-1]],[[1,1,2,1],[2,
-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[7,1,4,1,7,-1,4,-1,7,-1]]],[[[
1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[7,1,4,1],[8,1,7,
-1,4,-2,8,1]],[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,
1,7,-1,4,-1,7,-2,4,-1]],[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,
-2,5,1],[4,1,7,1],[8,1,4,-2,8,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,2,4,1,6,1,4,1,6,1,4,-1]],[[1,1,2,1],[1,
1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,-1,
4,-1,6,-1,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,
1,1,2,-1,5,2],[4,1,6,1],[7,1,4,-1,6,-1,7,1,6,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,
1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,-1,4,-1,6,1,4,1,6,
1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[4,1,6,1],[4,-1,6,-2,7,-2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,
1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,1,4,-1,6,-1,7,1,6,1]]],[[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,
1],[6,2,4,1,7,-1,4,-1,6,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,
1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,1,4,-1,6,-2,4,1]],[[1,1,2,1],[1,1,2,
-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,1,4,1,
6,-1,7,1,6,1,7,1,4,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,-1,6,-1],[7,1,8,1,7,1,8,1]],[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,
1],[6,1,7,1,4,1,6,-1,7,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,1],[7,1,8,1,6,-1,7,1,8,1]]],[[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,
1,4,1,6,1],[7,1,8,-2,7,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[6,-2,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,
2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,-1,6,-1],[7,1,8,1,7,1,8,
1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[4,-1],[6,1,4,-1,6,-1],[7,1,8,1,7,1,8,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,3,4,1,6,-1]],[[1,1,2,1],[1,1,
2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,1,4,-1,
6,-2,4,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,
1,2,-1,5,2],[4,1,6,1],[4,-1,6,1,4,-1,6,-1,7,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,
2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,1,4,-1,6,-1,7,1,6,
1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[4,1,6,1],[7,2,6,2,4,1]]],[[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,
6,3,2,-2,5,1],[4,1,7,1],[7,1,8,1,4,1,7,-1,8,-1]],[[1,1,2,1],[2,-1,3,2],[4,
-2]],[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[7,1,4,-1,7,
-1,4,-2,7,1]]],[[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[
4,1,7,1],[8,3,4,1]],[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,
1],[7,-2,4,-1,7,-2]],[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,
5,1],[4,-1,7,1,4,-1,7,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[6,2,4,1,6,1,4,1,6,1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,
1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,1,4,-1,6,-1,
7,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,
-1,5,2],[6,1,4,1,6,-1,4,-1,6,1,4,1,6,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,
3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,2,6,1,7,1,4,-1]],[[1,1,
2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,
2,4,-1,6,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,
1,2,-1,5,2],[6,1,4,1,6,1,4,-1,6,-2,4,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,
3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[7,1,6,-1,4,-1,6,-1,7,1,6,2,
4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[6,1,4,-1,6,-1,4,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,
2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,-1,6,-1],[7,1,8,1,7,1,8,1]]],[[[1,1,
2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,
1],[7,1,4,-1,6,-1,7,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,-1,4,-1,6,-1,4,1]],[[1,1,2,1],[1,1,2,-1,
3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,2,4,1,7,
-2]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[4,1,6,1],[4,-1,6,1,4,1,6,-1,7,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,
2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,2,4,1,6,-1,4,-1]],[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,2,
4,1,6,2,4,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,
1,1,1,2,-1,5,2],[4,1,6,1],[4,-1,6,1,4,-1,6,-1,7,2]],[[1,1,2,1],[1,1,2,-1,3,1,
1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[4,-1,6,-2,7,
-2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[4,-1],[6,1,4,1,6,1],[7,1,8,-2,7,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,
3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[7,1,6,1,4,-1,6,-1,4,1,6,1,7,
1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[4,1,6,1],[6,1,7,1,6,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,
1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,1,7,1,4,1,6,-1,7,-1]]],[[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,
1],[4,1,6,-1],[4,-1,8,1,7,1,6,1,8,-1,7,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,
3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,-3,4,1,6,1]],[[1,1,2,1],[
1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[4,
-1,7,-1,6,-1],[7,1,8,1,7,1,8,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,1,4,1,6,-1,7,3,6,1,4,-1]],[[
1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,
1,6,1],[7,2,6,1,4,-1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[4,1,6,-1,7,1,6,1,4,1,6,-1,7,-1]]],[[[1,1,
2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,2,4,
1,6,1,4,1,6,1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,
1,2,1,1,1,2,-1,5,2],[4,-1,6,2,4,1,6,2,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,-1,4,-1,6,1,4,1,6,
1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[4,1,6,1],[4,1,6,-1],[4,-1,8,1,7,1,6,1,8,-1,7,-1]],[[1,1,2,1],[1,1,2,-1,
3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,-3,4,1,6,
1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[4,1,6,1],[6,2,7,1,6,1,4,-1,6,-1,7,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,
3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,2,6,1,7,1,4,-1]],[[1,1,
2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,
-3,4,-1,6,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,
1,1,2,-1,5,2],[6,1,4,1],[6,1,7,-1,4,1,6,1,7,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,
1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[4,-1,6,1,4,-1,6,
-1,7,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,
-1,5,2],[4,1,6,1],[6,2,4,1,7,-2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[
1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,1,6,2,7,2,6,1]]],[[[1,1,2,1],[1,
1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[7,1,4,1,
6,-2,7,1,6,2,4,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[
5,1,2,1,1,1,2,-1,5,2],[6,1,4,1],[6,1,7,-1,4,1,6,1,7,1]],[[1,1,2,1],[1,1,2,-1,
3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[7,1,6,1,4,-1,6,
-2,4,-1,6,2,7,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,
1,2,1,1,1,2,-1,5,2],[4,-1],[4,1,6,1],[7,1,8,-1,6,-1,7,1,6,1,4,1,8,-1]],[[1,1,
2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,
-1,6,-2,4,-1,6,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,
2,1,1,1,2,-1,5,2],[4,-1,6,2,4,1,6,-3,4,-1]]],[[[1,1,2,1],[2,-1,3,2],[1,1,2,
1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[7,1,4,1],[8,1,7,-1,4,-2,8,1]],[[1,1,2,1],[2,
-1,3,2],[4,-2]],[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[
4,1,7,1],[8,1,4,-2,8,-1]]],[[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,
3,2,-2,5,1],[4,1,7,1],[8,3,4,1]],[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,
1,6,3,2,-2,5,1],[4,-1,7,-1,4,1,7,1]],[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,
1],[5,1,6,3,2,-2,5,1],[4,1,7,1],[7,1,4,1,8,2]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,
2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,1,4,1,6,3]],[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,2,4,-1,
6,-1,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,
2,-1,5,2],[4,1,6,2,4,1,6,2]]],[[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,
6,3,2,-2,5,1],[7,1,4,-2,7,-1]],[[1,1,2,1],[2,-1,3,2],[4,-2]],[[1,1,2,1],[2,-1,
3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[7,-2,4,1,7,1]]],[[[1,1,2,1],[1,1,
2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,-1,
6,-1],[7,1,8,1,7,1,8,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,-1,4,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,
1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,1],[7,1,8,1,6,
-1,7,1,8,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,
1,1,2,-1,5,2],[4,1,6,1],[4,-1,6,1,4,-1,6,-1,7,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,
1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,2,4,-1,6,-1,4,-1]],[[
1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,
1,6,1],[6,2,4,1,7,-2]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,-1,6,-1],[7,1,8,1,7,1,8,1]],[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,-1,
4,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,
-1,5,2],[6,1,4,1],[6,1,7,-1,4,1,6,1,7,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,
3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[7,1,6,-1,4,-1,6,-1,7,1,6,2,
4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[4,1,6,1],[6,2,4,-1,7,-2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,
1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,2,4,1,6,2,4,1]]],[[[1,1,2,1],[2,-1,3,2],[1,1,
2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,1,7,1],[7,1,8,2,7,1,4,1]],[[1,1,2,1],[2,
-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[7,1,4,1],[8,1,7,-1,4,-2,8,
1]],[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[7,1,4,1],[4,
1,7,1,8,2]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,
1,2,-1,5,2],[4,1,6,1,4,1,6,-1,4,-1,6,1,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,1,4,1,6,-2]],[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,
1],[4,-1,6,-2,7,2]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,
1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,1,6,1],[7,1,8,-2,7,-1]],[[1,1,2,1],[1,1,2,
-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,-2,4,-1]],[[1,1,
2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,
1,6,2,4,1,6,-1,4,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[
5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,-1,4,-1,6,1,4,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,
1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,2,4,-1,6,-1,4,
-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[4,1,6,1],[6,2,4,1,7,-2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,-1,2,-2],[1,1,
2,1],[2,1,1,1],[7,1,6,-1,7,1,2,1,7,-1,6,1],[5,-2,8,-1,5,1,8,2]],[[1,1,2,1],[2,
1,1,1],[3,1,4,-2,3,-1,2,-2],[1,1,2,1],[2,1,1,1],[7,1,6,-1,7,1,2,1,7,-1,6,1],[
8,2,5,1,8,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,-1,2,-2],[1,1,2,1],[2,1,1,1],[
7,1,6,-1,7,1,2,1,7,-1,6,1],[8,1,5,1,8,2,5,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,
2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,1,6,1],[7,1,8,-2,
7,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[6,3,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,
1,1,1,2,-1,5,2],[6,1,4,1,6,2,4,1,6,-1,4,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,2,4,1,6,1,4,-1,6,-1]],[[1,
1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,
6,1],[7,3,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,
1,1,2,-1,5,2],[4,-1,6,2,4,1,6,2,4,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,
2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,1,6,1],[7,1,8,-2,7,
-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[6,1,4,1],[6,1,7,-1,4,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[
1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,-1,6,-1],[7,1,8,1,7,1,8,1]]],[[[
1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,
-1],[7,1,6,1,4,1,6,-1,7,1,6,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,
1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,2,4,1,7,-2]],[[1,1,2,1],[1,1,2,-1,
3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,-1,4,-1,6,1,
4,1,6,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,-1,2,-2],[1,1,2,1],[2,1,1,1],[7,
1,6,-1,7,1,2,1,7,-1,6,1],[5,1,8,-1,5,-2,8,1,5,1,8,-1]],[[1,1,2,1],[2,1,1,1],[
3,1,4,-2,3,-1,2,-2],[1,1,2,1],[2,1,1,1],[7,1,6,-1,7,1,2,1,7,-1,6,1],[5,1,8,
1],[9,2,8,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,-1,2,-2],[1,1,2,1],[2,1,1,1],[
7,1,6,-1,7,1,2,1,7,-1,6,1],[5,-2],[8,-1,9,1,5,1,8,1]]],[[[1,1,2,1],[1,1,2,-1,
3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,1,6,1],[
7,1,8,-2,7,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,
1,1,2,-1,5,2],[4,-1,6,2,4,-1,6,-1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,
2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,2,6,2,4,1]]],[[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,
1],[6,2,7,1,6,1,4,-1,6,-1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,
1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,2,6,1,4,-1,6,1]],[[1,1,2,1],[1,1,2,
-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,1,4,1,
6,-1,7,1,6,1,7,1,4,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,-1,6,-1],[8,1,7,1,8,1,7,1]],[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,2,4,-1,
6,-1,4,-1,6,-1,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,
1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,2,4,-1,6,2]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,
2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1,4,1,6,-1,4,-1,6,2,4,
1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[4,1,6,2,4,1,6,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,
1,2,1,1,1,2,-1,5,2],[4,-1,6,2,4,1,6,1,4,1,6,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,
1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[4,-1,6,1,4,-1,6,
-1,7,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,
-1,5,2],[4,-1,6,2,4,-1,6,-1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,1,6,1],[7,1,8,-2,7,-1]]],[[[
1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,
1,4,1,6,-1,4,-1,6,1,4,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,
2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,-1,4,-1,6,-1,4,1]],[[1,1,2,1],[1,1,2,
-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,2,4,1,
7,-2]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,
-1,5,2],[4,-1],[7,1,6,1,4,1,6,-1,7,1,6,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,
3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,-1,4,-1,6,1,4,1,6,1]],[[
1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,
2,4,1,6,1,4,1,6,1,4,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,1],[7,1,8,1,6,-1,7,1,8,1]],[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,2,4,1,
6,2,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,
-1,5,2],[4,1,6,1],[6,1,7,1,4,1,6,-1,7,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,2,4,1,6,1,4,1,6,1,4,-1]],[[1,
1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,
4,1,6,1,4,-1,6,-2,4,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,1,4,-1,6,-2,4,1]],[[1,1,2,1],[1,1,2,-1,3,
1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,1,4,-1,6,2,4,
1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[4,1,6,1],[7,2,6,1,4,-1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,2,4,1,6,2,4,-1]]],[[[1,1,2,1],[1,
1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1,4,1,6,
-1,4,-1,6,2,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,
1,1,1,2,-1,5,2],[4,1,6,1],[7,2,6,1,7,1,4,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,
2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,2,4,1,6,2,4,-1]],[[1,1,
2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,3,4,
1,6,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,
2,-1,5,2],[6,1,4,1,6,1,4,-1,6,-2,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,
2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,-1,4,-1,6,-1,4,1]]],[[[1,1,
2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[
7,1,6,1,4,1,6,-1,7,1,6,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,1,4,-1,6,-2,4,1]]],[[[1,1,2,1],[1,1,2,-1,
3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,-1,4,-1,6,1,4,1,
6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[4,1,6,-1,4,-1,6,-1,4,-1,6,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,
2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,2,4,1,6,2,4,1]],[[1,1,2,1],[1,1,2,-1,
3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,2,4,-1,6,
-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[4,-1],[4,1,6,1],[8,1,6,1,7,-1,6,1,8,1,7,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,
1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,1,4,-1,6,-2,4,
1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[4,1,6,1],[4,-1,6,-2,7,-2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[
1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,1,4,-1,6,-2,4,1]]],[[[1,1,2,1],[1,
1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,2,
6,1,4,-1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,
1,1,2,-1,5,2],[6,2,4,1,6,2,4,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,-1,4,-1,6,2,4,-1]],[[1,1,2,1],[
1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,1,
4,-1,6,-2,4,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,
1,1,1,2,-1,5,2],[4,1,6,1],[7,1,4,-1,7,-1,6,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,
2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,2,4,-1,6,-1,4,-1]]],[[[
1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,
1,6,-3,4,-1,6,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,
2,1,1,1,2,-1,5,2],[6,2,4,1,6,2,4,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,
2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,-1,4,-1,6,1,4,1,6,1]],[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,2,4,1,
6,2,4,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,
2,-1,5,2],[4,-1],[7,1,6,1,4,-1,6,-3,7,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,
3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1],[6,1,7,-1,4,1,6,1,7,
1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[6,2,4,1,6,1,4,1,6,1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[
1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1],[6,1,7,-1,4,1,6,1,7,1]]],[[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,
1],[7,1,4,-1,6,-2,7,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,-1,4,-1,6,-1,4,1]]],[[[1,1,2,1],[1,1,2,
-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,2,4,1,6,1,4,
1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,
-1,5,2],[6,3,4,1,6,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[7,1,6,1,4,1,6,-1,7,1,6,2]],[[1,1,2,1],[1,1,
2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1],[6,1,7,
-1,4,1,6,1,7,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,
2,1,1,1,2,-1,5,2],[4,-1],[7,1,6,1,4,1,6,-1,7,1,6,2]],[[1,1,2,1],[1,1,2,-1,3,1,
1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1,4,-1,6,2,4,
-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[4,1,6,1],[4,-1,6,1,4,1,6,-1,7,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,
2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,3,4,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,
1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,-1,4,-1,6,-1,4,
1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[4,-1,6,1,4,-1,6,2,4,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,
2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,2,4,1,6,1,4,1,6,1]],[[1,1,2,1],[1,1,2,-1,
3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,2,4,-1,6,
-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[4,1,6,1],[4,-1,6,-2,7,-2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[
1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,-1,4,-1,6,-1,4,1]]],[[[1,1,2,1],[
1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1,4,1,
6,-1,4,-1,6,2,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,
2,1,1,1,2,-1,5,2],[4,1,6,-3,4,-1,6,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,
2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1],[6,1,7,-1,4,1,6,1,7,1]],[[1,
1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,
6,2,4,-1,6,-1,4,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[
5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[4,-1,6,1,4,1,6,-1,7,2]],[[1,1,2,1],[1,1,2,-1,
3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,-1,4,1,6,2,4,
1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[4,1,6,1],[4,-1,6,1,4,-1,6,-1,7,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,
2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1],[6,1,7,-1,4,1,6,1,7,1]]],[[[
1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,
1,4,1,6,-1,4,-1,6,2,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1],[6,1,7,-1,4,1,6,1,7,1]]],[[[1,1,2,1],[1,1,
2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1],[6,1,7,
-1,4,1,6,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,
1,1,1,2,-1,5,2],[4,1,6,1],[7,1,4,-1,7,-1,6,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,
1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1,4,-1,6,2,4,-1]],[[1,
1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,2,
4,-1,6,-1,4,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,
1,1,1,2,-1,5,2],[6,1,4,1,6,2,4,1,6,-1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1],[4,-1,7,2]]],[[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,
1],[7,1,4,-1,6,-2,7,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,1,4,1,6,3]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,
2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,-1,4,-1,6,-1,4,-1,6,
-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[4,-1,6,2,4,-1,6,-1,4,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,
1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1],[4,1,6,1,7,-1,4,-1,6,1,7,1]],[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,-1,
4,-1,6,-1,4,-1,6,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[
5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[4,-1,6,1,4,-1,6,-1,7,2]],[[1,1,2,1],[1,1,2,
-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1,4,-1,6,2,4,
-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[6,1,4,1,6,2,4,1,6,-1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[
1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,-1,4,-1,6,1]]],[[[1,1,2,1],[1,1,2,
-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[4,-1,6,1,
4,-1,6,-1,7,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,
1,1,2,-1,5,2],[4,1,6,1],[7,1,4,-1,6,-2,7,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,
2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,2,4,1,6,2]],[[1,1,2,1],[
1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,3,4,1,6,
-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[4,-1],[7,1,6,1,4,-1,6,-1,4,1,6,2,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[4,-1,6,-2,7,-2]]],[[[
1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,
-1],[7,1,6,1,4,-1,6,-1,4,1,6,2,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,3,4,1,6,-1]]],[[[1,1,2,1],[1,1,2,-1,3,
1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,2,4,-1,6,-1,4,
-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[4,1,6,1,4,-1,6,2,4,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,
2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,-1,6,-1,7,-1,6,1,4,1,6,1,7,1]],[[1,
1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,2,
4,1,6,2,4,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,
1,1,2,-1,5,2],[4,1,6,1],[4,-1,6,1,4,-1,6,-1,7,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,
1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,-1,4,1,6,1]]],[[[1,1,
2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,
1],[7,1,4,-1,6,-2,7,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,2,4,-1,6,-1,4,-1]]],[[[1,1,2,1],[1,1,2,-1,3,
1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[7,1,6,1,4,-1,6,
-1,4,1,6,2,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,
1,1,1,2,-1,5,2],[4,-1,6,2,4,-1,6,-1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,
1,2,-2,3,1],[1,1,2,1],[2,1,1,1],[6,1,7,-2,6,2,2,1],[8,2],[9,1,5,-2,9,-1]],[[1,
1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-2,3,1],[5,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,
-1,4,1,2,-2,3,1],[1,1,2,1],[2,1,1,1],[6,1,7,-2,6,2,2,1],[8,2,5,-1,8,-2,5,
-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,-1,2,-2],[1,1,2,1],[2,1,1,1],[7,1,6,
-1,7,1,2,1,7,-1,6,1],[8,2],[9,1,5,-2,9,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,
-1,2,-2],[5,-2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,-1,2,-2],[1,1,2,1],[2,1,1,
1],[7,1,6,-1,7,1,2,1,7,-1,6,1],[8,2,5,-1,8,-2,5,-1]]],[[[1,1,2,1],[2,1,1,1],[
3,1,4,3,3,-1,4,1],[1,1,2,1],[2,1,1,1],[6,1,7,2,6,-1,2,-1],[8,2],[9,1,5,-2,9,
-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,3,3,-1,4,1],[5,-2]],[[1,1,2,1],[2,1,1,1],[3,
1,4,3,3,-1,4,1],[1,1,2,1],[2,1,1,1],[6,1,7,2,6,-1,2,-1],[8,2,5,-1,8,-2,5,
-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,3,3,-1,4,1],[1,1,2,1],[2,1,1,1],[6,1,7,2,6,
-1,2,-1],[8,2,5,-2,8,1,5,-1,8,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,3,3,-1,4,1],[1,
1,2,1],[2,1,1,1],[6,1,7,2,6,-1,2,-1],[5,1,8,2,5,1,8,-2]],[[1,1,2,1],[2,1,1,
1],[3,1,4,3,3,-1,4,1],[1,1,2,1],[2,1,1,1],[6,1,7,2,6,-1,2,-1],[8,3,5,-1,8,1,5,
-2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,3,3,-1,4,1],[1,1,2,1],[2,1,1,1],[6,1,7,2,6,
-1,2,-1],[8,1,5,-1,8,1,5,-2,8,1,5,-1,8,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,3,3,
-1,4,1],[1,1,2,1],[2,1,1,1],[6,1,7,2,6,-1,2,-1],[8,3,5,-1,8,1]]],[[[1,1,2,1],[
2,1,1,1],[3,1,4,3,3,-1,4,1],[1,1,2,1],[2,1,1,1],[6,1,7,2,6,-1,2,-1],[5,1,8,2,
5,1,8,-2]],[[1,1,2,1],[2,1,1,1],[3,1,4,3,3,-1,4,1],[1,1,2,1],[2,1,1,1],[6,1,7,
2,6,-1,2,-1],[8,1,5,-1,8,1,5,-1,8,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,
-2,3,1],[1,1,2,1],[2,1,1,1],[6,1,7,-2,6,2,2,1],[8,1,5,-1,8,1,5,-2,8,1,5,-1,8,
-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-2,3,1],[1,1,2,1],[2,1,1,1],[6,1,7,
-2,6,2,2,1],[8,3,5,-1,8,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,
2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[7,1,6,-1,7,1,6,1,4,1,6,1]],[[1,1,2,1],[1,
1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,1,
7,1,4,1,6,-1,7,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,
1,2,1,1,1,2,-1,5,2],[4,-1],[7,1,6,-1,7,1,6,1,4,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,
1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,2,4,1,6,-1,4,
-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,3,3,-1,4,1],[1,1,2,1],[2,1,1,1],[6,1,7,2,6,
-1,2,-1],[5,-2,8,1,5,1,8,-1,5,1,8,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,3,3,-1,4,
1],[1,1,2,1],[2,1,1,1],[6,1,7,2,6,-1,2,-1],[8,1,5,1,8,2,5,-1]]],[[[1,1,2,1],[
1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,2,
4,1,6,-1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,
1,1,2,-1,5,2],[4,1,6,1],[7,2,4,-1,7,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,3,3,-1,
4,1],[1,1,2,1],[2,1,1,1],[6,1,7,2,6,-1,2,-1],[8,2,5,-2,8,1,5,-1,8,1]],[[1,1,2,
1],[2,1,1,1],[3,1,4,3,3,-1,4,1],[1,1,2,1],[2,1,1,1],[6,1,7,2,6,-1,2,-1],[8,1,
5,1,8,2,5,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,
1,1,1,2,-1,5,2],[4,-1],[7,1,6,-1,4,-1,6,-1,7,1,6,2,4,-1]],[[1,1,2,1],[1,1,2,
-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,2,4,-1,
7,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,
-1,5,2],[4,-1],[7,1,6,-1,7,1,6,1,4,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,
3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,2,4,-1,7,-1]]],[[[1,1,
2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,1,7,-1,4,-1,7,
-1]],[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,1,7,-2,4,
1]]],[[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,1,7,-2,
4,1]],[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[7,1,4,-1,
7,-1]]],[[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,1,7,
1],[8,3,7,1]],[[1,1,2,1],[2,-1,3,2]]],[[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,
1],[5,1,6,3,2,-2,5,1],[7,-2,4,1,7,1]],[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,
1],[5,1,6,3,2,-2,5,1],[4,-1,7,-1,4,-1,7,1]]],[[[1,1,2,1],[2,-1,3,2],[1,1,2,
1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[7,1,4,1,7,1,4,-2,7,1]],[[1,1,2,1],[2,-1,3,
2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[7,-2,4,1,7,1]],[[1,1,2,1],[2,-1,3,
2],[4,-2]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,
1,2,-1,5,2],[6,1,4,1],[7,1,6,-1,4,1,6,1,7,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,-1,4,-1,6,-1,4,-1,6,
-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,3,3,-1,4,1],[1,1,2,1],[2,1,1,1],[6,1,7,2,6,
-1,2,-1],[5,1,8,-2,5,-2,8,2]],[[1,1,2,1],[2,1,1,1],[3,1,4,3,3,-1,4,1],[1,1,2,
1],[2,1,1,1],[6,1,7,2,6,-1,2,-1],[8,2],[5,-2,9,-2]]],[[[1,1,2,1],[2,1,1,1],[4,
1,3,-1,4,1,2,-2,3,1],[1,1,2,1],[2,1,1,1],[6,1,7,-2,6,2,2,1],[5,1,8,3,5,1,8,
-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-2,3,1],[1,1,2,1],[2,1,1,1],[6,1,7,
-2,6,2,2,1],[8,1,5,1,8,2]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,
2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1,4,1,6,-1,4,-1,6,1]],[[1,1,2,1],[1,1,2,-1,
3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,2,4,-1,6,-2]]],[[[1,
1,2,1],[2,1,1,1],[1,1,2,-1,3,-2,4,1,2,1,4,-1,3,1],[2,1,1,1],[1,1,2,-1],[2,1,6,
1],[7,1,6,-1,1,1,2,1,8,-1,7,1,6,-1,8,-1],[5,1,9,1],[10,3,9,1]],[[1,1,2,1],[2,
1,1,1],[1,1,2,-1,3,-2,4,1,2,1,4,-1,3,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,
3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,2,4,-1,6,-1,4,-1]],[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,
6,-1],[7,1,4,1,7,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-2,3,1],[1,1,2,
1],[2,1,1,1],[6,1,7,-2,6,2,2,1],[5,1,8,3,5,1,8,-1]],[[1,1,2,1],[2,1,1,1],[4,1,
3,-1,4,1,2,-2,3,1],[1,1,2,1],[2,1,1,1],[6,1,7,-2,6,2,2,1],[5,-1,8,-1,5,-1,8,
1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[6,1,4,1,6,-1,4,-1,6,2,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1],[7,1,6,1,7,-1,4,1]]],[[[1,1,2,
1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[7,1,4,1,7,-2,4,1,7,
-1]],[[1,1,2,1],[2,-1,3,2],[4,-2]],[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[
5,1,6,3,2,-2,5,1],[7,1,4,-2,7,-1]]],[[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,
1],[5,1,6,3,2,-2,5,1],[4,-1,7,-1,4,-1,7,1]],[[1,1,2,1],[2,-1,3,2],[4,-2]]],[[[
1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-2,3,1],[1,1,2,1],[2,1,1,1],[6,1,7,-2,6,2,
2,1],[5,1,8,1],[9,1,8,1,9,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-2,3,1],[1,
1,2,1],[2,1,1,1],[6,1,7,-2,6,2,2,1],[8,1,5,-1,8,-1,5,1,8,1]]],[[[1,1,2,1],[1,
1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[7,1,6,
-2,4,1,6,1,7,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,
1,1,1,2,-1,5,2],[6,1,4,-1,6,-1,4,-1,6,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,
-2,3,-1,2,-2],[1,1,2,1],[2,1,1,1],[7,1,6,-1,7,1,2,1,7,-1,6,1],[5,1,8,1],[9,1,
5,-2,9,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,-1,2,-2],[1,1,2,1],[2,1,1,1],[7,
1,6,-1,7,1,2,1,7,-1,6,1],[8,2],[5,-2,9,-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,
3,-2,4,1,2,1,4,-1,3,1],[2,1,1,1],[1,1,2,-1],[2,1,6,1],[7,1,6,-1,1,1,2,1,8,-1,
7,1,6,-1,8,-1],[5,-1,9,-1,5,-1,9,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,-2,4,1,
2,1,4,-1,3,1],[5,-2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,-1,2,-2],[1,1,2,1],[
2,1,1,1],[7,1,6,-1,7,1,2,1,7,-1,6,1],[5,1,8,-2,5,-2,8,2]],[[1,1,2,1],[2,1,1,
1],[3,1,4,-2,3,-1,2,-2],[1,1,2,1],[2,1,1,1],[7,1,6,-1,7,1,2,1,7,-1,6,1],[8,
2],[5,-2,9,-2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,-1,2,-2],[1,1,2,1],[2,1,1,
1],[7,1,6,-1,7,1,2,1,7,-1,6,1],[8,1,5,-1,8,-3,5,-1]],[[1,1,2,1],[2,1,1,1],[3,
1,4,-2,3,-1,2,-2],[1,1,2,1],[2,1,1,1],[7,1,6,-1,7,1,2,1,7,-1,6,1],[8,1,5,1,8,
-3]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,-1,2,-2],[1,1,2,1],[2,1,1,1],[7,1,6,
-1,7,1,2,1,7,-1,6,1],[8,1,5,-2,8,-2,5,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,
-1,2,-2],[1,1,2,1],[2,1,1,1],[7,1,6,-1,7,1,2,1,7,-1,6,1],[8,2],[5,-2,9,
-2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,-1,2,-2],[1,1,2,1],[2,1,1,1],[7,1,6,
-1,7,1,2,1,7,-1,6,1],[5,1,8,3,5,1,8,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,-1,
2,-2],[1,1,2,1],[2,1,1,1],[7,1,6,-1,7,1,2,1,7,-1,6,1],[8,1,5,1,8,2]]],[[[1,1,
2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-2,3,1],[1,1,2,1],[2,1,1,1],[6,1,7,-2,6,2,2,
1],[8,1,5,-1,8,-3,5,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-2,3,1],[1,1,2,
1],[2,1,1,1],[6,1,7,-2,6,2,2,1],[8,1,5,1,8,-3]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,
1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,2,4,1,6,1,4,1,6,1,4,
-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[4,-1],[7,1,6,-2,4,1,6,1,7,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,2,4,1,6,-1,4,-1]],[[1,1,2,1],[
1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,
-1,4,1,6,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-2,3,1],[1,1,2,1],[2,1,1,
1],[6,1,7,-2,6,2,2,1],[5,-1,8,3]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-2,3,
1],[1,1,2,1],[2,1,1,1],[6,1,7,-2,6,2,2,1],[8,2,5,-1,8,1]]],[[[1,1,2,1],[1,1,2,
-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,2,4,1,6,
-1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,
-1,5,2],[6,1,4,1],[7,1,6,-1,4,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,
-2,3,1],[1,1,2,1],[2,1,1,1],[6,1,7,-2,6,2,2,1],[5,1,8,-2,5,-2]],[[1,1,2,1],[2,
1,1,1],[4,1,3,-1,4,1,2,-2,3,1],[1,1,2,1],[2,1,1,1],[6,1,7,-2,6,2,2,1],[8,1,5,
1,8,1]]],[[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[7,1,4,
1,7,-1,4,-2,7,1]],[[1,1,2,1],[2,-1,3,2],[4,-2]]],[[[1,1,2,1],[2,-1,3,2],[1,1,
2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[7,-2,4,-2,7,1,4,-1]],[[1,1,2,1],[2,-1,3,
2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,-1,7,-1,4,-1,7,1]]],[[[1,1,2,1],[
1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1,4,1,
6,1,4,1,6,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,
1,1,2,-1,5,2],[6,1,4,1,6,-2]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,
1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,3,4,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,-1]]],[[[1,1,2,1],[1,
1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,1,4,
1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,
-1,5,2],[6,1,4,1,6,-2]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,1],[7,1,4,1,7,-1]],[[1,1,2,1],[1,1,2,-1,
3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,1,4,1,6,
2]]],[[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[7,-2,4,-1,
7,-1,4,-1]],[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,
-1,7,-1,4,-1,7,1]]],[[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,
5,1],[7,1,4,1,7,-1,4,-1,7,1]],[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,
6,3,2,-2,5,1],[4,1,7,-1,4,1,7,1]]],[[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,
1],[5,1,6,3,2,-2,5,1],[7,1,4,1,7,1,4,-2]],[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,
1,1,1],[5,1,6,3,2,-2,5,1],[4,-1,7,-1,4,-1,7,1]]],[[[1,1,2,1],[2,-1,3,2],[1,1,
2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,1,7,1],[7,1,8,2,7,1,4,1]],[[1,1,2,1],[2,
-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[7,-2,4,-2]]],[[[1,1,2,1],[1,1,
2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,1],[7,
-2,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,
-1,5,2],[6,1,4,1,6,-2]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,1,4,1,6,-3]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,1],[7,1,4,1,7,
-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-2,3,1],[1,1,2,1],[2,1,1,1],[6,1,
7,-2,6,2,2,1],[5,1,8,-1,5,-2,8,1,5,1,8,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,
1,2,-2,3,1],[1,1,2,1],[2,1,1,1],[6,1,7,-2,6,2,2,1],[5,1,8,1,5,1]]],[[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,
6,2,4,1,6,-1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,
2,1,1,1,2,-1,5,2],[6,2,4,1,6,-1,4,-1,6,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,1,7,2,6,1,4,1]],[[1,
1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,-2,
4,1,6,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1],[1,1,2,1],[2,1,1,
1],[2,1,7,-1,6,-1,7,1,6,-1,2,-2],[5,1,8,1],[8,1,9,2,8,1,5,1]],[[1,1,2,1],[2,1,
1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,-1,7,1,6,-1,
2,-2],[8,-2,5,1,8,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[
5,1,2,1,1,1,2,-1,5,2],[4,1,6,2,4,-1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,
2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,-2,4,1,6,1]]],[[[1,1,2,1],[2,-1,3,
2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,1,7,1],[8,2,7,1,4,1]],[[1,1,2,
1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,1,7,-2,4,-1]],[[1,1,2,
1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[7,-1,4,-1,7,-1,4,
-2]]],[[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[7,-2,4,1,
7,-1]],[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,-2,7,
1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[4,-1],[6,1,4,-1,6,-1],[8,1,7,1,8,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,2,4,1,6,2,4,1]],[[1,1,2,1],[1,
1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,2,
6,1,7,1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,
1,1,2,-1,5,2],[4,-1,6,2,4,1,6,2,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,
2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,2,4,1,6,2]]],[[[1,1,2,1],[1,1,2,
-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[4,1,6,-2,
7,2,6,1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,2],[4,-5]],[[1,1,2,1],[1,1,2,-1,3,1,
1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,-2,4,-1,6,
2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[6,1,4,1],[6,1,7,-1,4,1,6,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,-1,4,-1,6,1,4,1,6,1]]],[[[1,1,
2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,
1],[7,1,6,2,7,2,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,
1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,1,4,-1,6,-2,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,
2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,2,4,1,6,-1,4,1,6,
1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[4,1,6,1],[6,2,4,1,7,-2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,
2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,-1,4,-1,6,1,4,1,6,1]]],[[[1,1,2,1],[1,
1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,
-1,6,-1],[8,1,7,1,8,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,2,4,1,6,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,2,6,1,7,1,4,-1]],[[
1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,
-1,6,2,4,1,6,2,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,
1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,1,7,1,6,1,7,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,
1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,2,4,1,6,-3,4,-1]],[[
1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,
1,6,1],[6,1,7,1,6,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,-1,6,-1],[8,1,7,1,8,1,7,1]],[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,
1],[7,2,6,1,7,1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[
5,1,2,1,1,1,2,-1,5,2],[6,3,4,-1,6,-2,4,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,1,6,2,7,2,6,1]],[[1,
1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,
4,1],[6,1,7,-1,4,1,6,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,
2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,1,7,2,6,2,7,1]],[[1,1,2,1],[1,1,2,-1,
3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,2,4,1,6,-1,
4,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,
-1,5,2],[4,1,6,1],[6,2,4,1,7,-2]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,2,4,1],[7,1,8,-1,7,1,8,1]],[[
1,1,2,1],[3,1,2,1,1,1,2,-1,3,2],[4,-5]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,
2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[4,1,6,-1,7,1,6,1,4,1,6,-1,7,
-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[4,1,6,1],[4,-1,7,-1,6,-1],[7,1,8,1,7,1,8,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,
2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,2,4,1,6,2]]],[[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,
1],[6,1,7,1,4,1,6,-2,7,1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,2],[4,-5]],[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,
1],[6,1,7,-1,4,1,6,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,-2,4,-1,6,2]],[[1,1,2,1],[1,1,2,-1,3,1,
1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,1,4,-1,6,-1,7,
1,6,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,
-1,5,2],[4,1,6,1],[4,-1,6,2,4,-1,7,-2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,
2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,2,4,1,6,2]],[[1,1,2,1],[1,1,2,-1,
3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1],[6,1,7,1,6,1,
7,-1,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,
2,-1,5,2],[4,1,6,1],[4,-1,6,-2,7,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,2,4,1,6,-1,4,-1]]],[[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,
1,4,-1,6,-1],[7,1,8,1,7,1,8,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,
1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,2,4,1,6,2,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,
2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,-1,6,-1],[8,1,7,
1,8,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,
2,-1,5,2],[4,-1,6,2,4,1,6,2,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,1,7,1,6,1,7,1]]],[[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,
1],[6,1,7,1,4,1,6,-2,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1],[6,1,7,-1,4,1,6,1,7,1]],[[1,1,2,1],[1,1,2,
-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,-2,4,-1,
6,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[6,1,4,1,6,-1,4,-1,6,1,4,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,2,4,1,7,-2]]],[[[1,1,2,1],[1,
1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,2,4,
1,6,-1,4,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,
1,1,1,2,-1,5,2],[4,1,6,1],[6,1,7,1,6,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,3,4,1,7,-1,6,-1]],[[
1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,
-1,6,2,4,1,6,-3,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[
5,1,2,1,1,1,2,-1,5,2],[6,3,4,-1,6,-2,4,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,-1,6,-1],[7,1,8,1,
7,1,8,1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,2],[4,-5]],[[1,1,2,1],[1,1,2,-1,3,1,
1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,1,6,1],[7,1,
8,-2,7,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,
2,-1,5,2],[6,1,4,-1,6,2,4,1,6,-1,4,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,
3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,1,4,1,7,-1,6,-1,7,
2]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[4,1,6,1],[6,1,7,4,4,1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,2],[4,-5]],[[1,1,
2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,
1],[7,1,4,1,7,-1,6,-1,7,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,2,4,1,6,-1,4,1,6,1]],[[1,1,2,1],[1,1,2,
-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,1,4,-1,6,
-2,4,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,
2,-1,5,2],[4,-1,6,2,4,1,6,2,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,2,4,1,6,-1,4,-1]],[[1,1,2,1],[
1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,2,4,1,6,2,
4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[4,1,6,2,4,1,6,2]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[7,1,6,1,4,-1,6,-1,4,1,6,2,7,1]],[[1,1,2,1],[
1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,
1,7,1,4,1,7,-1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,2],[4,-5]],[[1,1,2,1],[1,1,2,
-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,2,4,1,6,
-1,4,1,6,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,
1,1,2,-1,5,2],[4,-1],[6,1,4,-1,6,-1],[7,1,8,1,7,1,8,1]],[[1,1,2,1],[1,1,2,-1,
3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,-2,4,1,6,1]],[[
1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,
1,6,-2,4,-1,6,1,4,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,-1,6,-1],[8,1,7,1,8,1,7,1]]],[[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[4,
1,6,1],[8,1,6,1,7,-1,6,1,8,1,7,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,2,4,1,6,2,4,1]],[[1,1,2,1],[1,1,2,-1,3,
1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,1,6,1],[7,
1,8,-2,7,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,
1,2,-1,5,2],[6,1,4,1,6,-1,4,-1,6,2,4,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,
3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,-1,6,-1],[7,1,8,1,7,1,
8,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[4,1,6,-2,4,1,6,1,4,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[
1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,1,4,1,6,-2,4,1]],[[1,1,2,1],[1,1,2,
-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,2,4,-1,6,-1,4,-1,
6,-1,4,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,
1,2,-1,5,2],[4,1,6,1],[6,1,7,4,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,2,4,-1,6,-1]],[[1,1,2,1],[1,1,2,-1,
3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,1,4,1,7,
-1,6,-1,7,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,
1,2,-1,5,2],[4,-1,6,2,4,1,6,-3,4,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,
2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1],[4,1,6,1,7,-1,4,-1,6,1,7,
1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[4,1,6,2,4,1,6,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,
1,2,1,1,1,2,-1,5,2],[6,1,4,1],[6,1,7,1,6,1,7,-1,4,1]],[[1,1,2,1],[1,1,2,-1,3,
1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,2,6,1,7,1,4,
-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[4,1,6,1],[4,-1,7,-1,6,-1],[7,1,8,1,7,1,8,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,
1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,-1,4,1,6,1]],[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,
1],[7,1,4,1,7,-1,6,-1,7,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1],[6,1,7,-1,4,1,6,1,7,1]]],[[[1,1,2,1],[1,1,
2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[4,1,6,1],[
7,1,6,-1,8,-1,6,1,8,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[4,-1,6,-1,7,2]],[[1,1,2,1],[1,1,2,-1,3,1,
1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,-1,6,-1],[7,
1,8,1,7,1,8,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,
1,1,2,-1,5,2],[4,-1],[6,1,4,-1,6,-1],[8,1,7,1,8,1,7,1]]],[[[1,1,2,1],[1,1,2,
-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,-1,6,
-1,7,-1,6,1,4,1,6,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,2,4,1,6,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,1,4,1,6,3]],[[1,1,2,1],[
1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,
1,7,1,6,1,7,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,
1,1,1,2,-1,5,2],[4,-1],[6,1,4,-1,6,-1],[8,1,7,1,8,1,7,1]],[[1,1,2,1],[1,1,2,
-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,1,4,-1,
6,-1,7,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,
1,1,2,-1,5,2],[4,1,6,2,4,1,6,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[
1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,-1,4,-1,6,-1,4,-1,6,-1]]],[[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,
1],[4,-1,7,-1,6,-1],[7,1,8,1,7,1,8,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,
2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,3,4,1,6,-1]],[[1,1,2,1],[1,1,2,-1,3,
1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,1,4,-1,6,-2,4,
1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[4,1,6,1],[7,1,4,1,7,-1,6,-1,7,2]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,
2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,2,4,1],[7,1,8,-2,7,-1]],[[
1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,
1,6,-1,4,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,
1,1,1,2,-1,5,2],[4,1,6,1],[6,1,7,4,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,
2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1],[6,1,7,-1,4,1,6,1,7,1]]],[[[
1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,
1,6,2,4,1,6,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,
1,1,2,-1,5,2],[6,1,4,1],[4,-1,7,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,2,4,1,6,2,4,1]],[[1,1,2,1],[1,1,2,-1,3,
1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,1,4,1,6,1,4,
-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[6,2,4,1,6,1,4,1,6,1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[
1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,1,4,-1,6,-1,7,1,6,1]],[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,
6,-1,4,-1,6,1,4,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[
5,1,2,1,1,1,2,-1,5,2],[4,-1,6,2,4,1,6,2,4,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,
2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,3,4,1,7,-1,6,
-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[6,1,4,1],[6,1,7,-1,4,1,6,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,-2,4,-1,6,2]],[[1,1,2,1],[1,1,
2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,2,4,1,6,1,
4,1,6,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,
2,-1,5,2],[4,-1],[6,1,4,1,6,1],[7,1,8,-2,7,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,
2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,-2,4,-1]],[[1,1,2,1],[1,1,2,
-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,-1,6,
-1],[7,1,8,1,7,1,8,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[
5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,1,7,1,6,1,7,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,
1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,2,4,1,6,2,4,-1]],[[
1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,
1,4,1],[4,-1,7,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,
2,1,1,1,2,-1,5,2],[4,1,6,-1,4,-1,6,-1,4,-1,6,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,
1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,2,4,1,6,2]]],[[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,
1],[4,-1,7,-1,6,-1],[8,1,7,1,8,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,
2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,1,4,-1,6,-2,4,1]],[[1,1,2,
1],[3,1,2,1,1,1,2,-1,3,2],[4,-5]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[
1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,1,4,1,6,-1,7,1,6,1,7,1,4,
-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[4,-1],[6,1,4,-1,6,-1],[8,1,7,1,8,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1,4,-1,6,2,4,-1]],[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,
6,-1,4,-1,6,1,4,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[
5,1,2,1,1,1,2,-1,5,2],[4,1,6,3,4,1,6,-1,4,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,
2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,-1,6,-1],[7,1,8,
1,7,1,8,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,
2,-1,5,2],[4,1,6,-1,4,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,
2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1],[6,1,7,-1,4,1,6,1,7,1]],[[1,1,2,1],[1,1,
2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,1,4,-1,
6,-2,4,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,
1,2,-1,5,2],[4,-1],[6,1,4,-1,6,-1],[8,1,7,1,8,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,
1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,2,4,1,7,
-2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[6,1,4,1,6,1,4,1,6,1,4,-1,6,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,1,4,-1,6,-1,7,1,6,1]]],[[[1,
1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,
-1],[6,1,4,1,6,1],[7,1,8,-2,7,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,-1,4,-1,6,1,4,1,6,1]],[[1,1,2,1],[
1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1],[6,
1,7,1,6,1,7,-1,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,
1,2,1,1,1,2,-1,5,2],[4,1,6,1,4,1,6,1,4,-1,6,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,
1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,1,6,1],[7,1,8,
-2,7,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,
-1,5,2],[6,1,4,1],[6,1,7,-1,4,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[4,-1,6,2,4,-1,7,-2]],[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,2,
4,1,6,2]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,
2,-1,5,2],[4,1,6,1],[7,2,6,1,7,1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,
2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,2,4,-1,6,-1]],[[1,1,2,1],[1,1,2,
-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,2,4,1,6,2,4,
-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[4,1,6,-3,4,-1,6,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[4,1,6,1],[7,1,6,1,8,1,7,1,6,-1,8,-1]],[[1,1,
2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,
1],[6,1,7,1,6,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,
1,2,1,1,1,2,-1,5,2],[4,-1],[7,1,6,1,4,-1,6,-1,4,1,6,2,7,1]],[[1,1,2,1],[1,1,2,
-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,-1,6,
-1,7,-1,6,1,4,1,6,1,7,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,1,6,1],[7,1,8,-2,7,-1]],[[1,1,2,1],[1,
1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,2,4,-1,
6,-1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,
2,-1,5,2],[4,1,6,1],[7,2,6,2,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,-1,4,-1,6,1,4,1,6,1]]],[[[1,1,
2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[
6,1,4,1,6,1],[7,1,8,-2,7,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,
2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,-1,4,-1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,
1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[4,-1,6,2,4,-1,7,
-2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[4,1,6,2,4,1,6,2]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[
5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,1,6,1],[7,1,8,-2,7,-1]],[[1,1,2,1],[1,1,2,
-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,1,4,-1,
6,-1,7,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,
1,1,2,-1,5,2],[4,1,6,1],[7,2,6,2,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,
2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,-1,4,-1,6,1,4,1,6,1]]],[[[1,
1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,
6,1],[4,-1,7,-1,6,-1],[7,1,8,1,7,1,8,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,
2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,2,4,-1,6,-1]],[[1,1,2,1],[1,1,
2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,1,4,-1,
6,-2,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,
2,-1,5,2],[6,1,4,-1,6,-2,4,-1,6,2]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,2,6,1,4,-1,6,1]],[[1,1,2,1],[
1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,2,4,1,
6,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[4,-1,6,2,4,1,6,1,4,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[
1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,1,4,-1,6,-2,4,1]]],[[[1,1,2,1],[1,
1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[7,1,6,1,
4,1,6,-1,7,1,6,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,
2,1,1,1,2,-1,5,2],[4,1,6,1],[6,2,4,1,7,-2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,
3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,-1,4,-1,6,1,4,1,6,1]],[[
1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,
-1,6,2,4,1,6,2,4,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[
5,1,2,1,1,1,2,-1,5,2],[4,1,6,1,4,1,6,-1,4,-1,6,2,4,1]],[[1,1,2,1],[1,1,2,-1,3,
1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,2,4,1,6,2]],[[1,1,
2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[
7,1,6,1,4,-1,6,-1,7,1,6,-1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[
1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,1,4,-1,6,-2,4,1]]],[[[1,1,2,1],[1,
1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,2,
6,1,4,-1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,
1,1,2,-1,5,2],[4,1,6,2,4,1,6,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[
1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1],[6,1,7,-1,4,1,6,1,7,1]],[[1,1,2,1],[
1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,
1,7,1,6,1,7,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,
1,1,1,2,-1,5,2],[4,-1],[4,1,6,1],[7,1,6,1,8,1,7,1,6,-1,8,-1]],[[1,1,2,1],[1,1,
2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,2,4,-1,6,-1,4,
1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[4,-1],[6,1,4,-1,6,-1,7,-1,6,1,4,1,6,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,
2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,1,7,1,6,1,7,
1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[6,2,4,-1,6,-1,4,-1,6,-1,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,2,4,1,6,2,4,1]],[[1,1,2,1],[1,1,2,-1,3,
1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1,4,1,6,-2,4,1,6,
-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[4,1,6,1],[6,1,7,1,6,1,7,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[
1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[7,1,6,1,4,1,6,-1,7,1,6,2]],[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,2,
4,1,6,2,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,
1,1,2,-1,5,2],[6,2,4,1,6,1,4,1,6,1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,
2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,-1,4,-1,6,1,4,1,6,1]]],[[[
1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,
1,4,1,6,-1,4,-1,6,1,4,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,
2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,-1,4,-1,6,-1,4,1]],[[1,1,2,1],[1,1,2,
-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,1,4,-1,
6,-1,7,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,
1,1,2,-1,5,2],[4,1,6,1],[6,2,4,1,7,-2]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,
2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[7,1,6,1,4,-1,6,-1,4,1,6,2,7,
1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[4,-1,6,1,4,1,6,3]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[
5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,1,7,1,6,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,
1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,-1,6,-1,7,-1,6,
1,4,1,6,1,7,1]]],[[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,
1],[4,1,7,1],[7,1,8,1,4,1,7,-1,8,-1]],[[1,1,2,1],[2,-1,3,2],[4,-2]],[[1,1,2,
1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[7,1,4,-1,7,-1,4,-2,7,
1]],[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,1,7,1],[7,
1,4,1,8,2]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,
1,2,-1,5,2],[4,-1],[6,1,4,-1,6,-1],[8,1,7,1,8,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,
1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,2,4,1,7,
-2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[6,1,4,1,6,1,4,1,6,1,4,-1,6,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,1,4,-1,6,-2,7,-1]]],[[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,
1],[4,-1,6,1,4,-1,6,-1,7,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,
2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,2,4,-1,6,-1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,
1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,1,6,1],[7,
1,8,-2,7,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,
1,2,-1,5,2],[4,1,6,1],[7,2,6,2,4,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,
2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,1,7,4,4,1]],[[1,1,2,1],[1,
1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,-1,4,1,6,
1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[6,3,4,1,6,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,
2,1,1,1,2,-1,5,2],[4,1,6,1],[7,1,4,1,7,-1,6,-1,7,2]]],[[[1,1,2,1],[1,1,2,-1,3,
1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,1,6,1],[7,
1,8,-2,7,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,
1,2,-1,5,2],[6,1,4,1],[6,1,7,-1,4,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,
2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,2,4,-1,6,-1,4,1]],[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,2,
4,1,6,2]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,
2,-1,5,2],[4,-1],[6,1,4,1,6,1],[7,1,8,-2,7,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,
2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,-1,4,-1,6,1]],[[1,1,
2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[
4,1,6,-1,7,1,6,1,4,1,6,-1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,
1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,2,4,1,6,2]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,
1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,-3,4,-1,6,-1]],[[1,1,
2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,
2,4,-1,6,-1,4,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,
1,2,1,1,1,2,-1,5,2],[4,-1,6,1,4,-1,6,2,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,-1,4,1,6,1]]],[[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,
6,-1,4,-1,6,2,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,
1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,-1,4,-1,6,-1,4,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,
1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,2,4,-1,6,-1,4,1]],[[1,1,
2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,
-1,4,1,6,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,
1,1,2,-1,5,2],[4,-1],[6,1,4,-1,6,-1,7,-1,6,1,4,1,6,1,7,1]],[[1,1,2,1],[1,1,2,
-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,2,4,1,6,2,4,
1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[4,-1],[6,1,4,-1,6,-1],[8,1,7,1,8,1,7,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,-1,4,-1,6,1,4,1,6,
1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[4,1,6,1],[7,1,4,-1,7,-1,6,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[4,-1,6,-2,7,-2]]],[[[1,1,2,1],[
1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,
2,6,1,4,-1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,
1,1,1,2,-1,5,2],[4,-1,6,2,4,1,6,2,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,
2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,2,4,1,6,2]]],[[[1,1,2,1],[1,1,
2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,-1,4,
-1,6,1,4,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,
1,1,1,2,-1,5,2],[4,-1,6,2,4,-1,6,-1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,
3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1],[6,1,7,-1,4,1,6,1,7,
1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[4,1,6,1],[7,2,6,1,7,1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,2,4,-1,6,-1]],[[1,1,2,1],[1,1,2,-1,
3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,2,4,1,6,2,4,1]]],[[[
1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,
-1],[4,1,6,1],[7,1,6,1,8,1,7,1,6,-1,8,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,
3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,2,4,1,6,1,4,1,6,1,4,-1]],[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,
6,1,4,-1,6,-2,4,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,
1,2,1,1,1,2,-1,5,2],[4,1,6,1],[4,-1,6,1,4,-1,6,-1,7,2]],[[1,1,2,1],[1,1,2,-1,
3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1],[6,1,7,-1,4,
1,6,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,
2,-1,5,2],[4,1,6,1],[7,1,4,-1,6,-1,7,1,6,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[4,-1,6,1,4,-1,6,-1,7,
2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[4,1,6,1],[7,1,4,-1,6,-2,7,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,2,4,1,6,1,4,1,6,1,4,-1]]],[[[1,1,2,1],[
1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,2,4,1,
6,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[6,2,4,-1,6,-1,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,-2,4,1,6,-1,4,-1]]],[[[1,1,2,1],[1,1,2,-1,3,
1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,2,6,1,4,-1,
6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[4,1,6,2,4,-1,6,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,1,4,-1,6,-2,4,1]]],[[[1,1,2,1],[1,1,2,-1,
3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[4,1,6,1],[7,1,
6,1,8,1,7,1,6,-1,8,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[
5,1,2,1,1,1,2,-1,5,2],[4,-1,6,2,4,-1,6,-1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,
2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,1,4,-1,6,-2,4,
1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[4,1,6,1],[7,1,4,-1,6,-2,7,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,-1,4,-1,6,-1,4,1]],[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,2,
4,-1,6,-1,4,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,
2,1,1,1,2,-1,5,2],[4,1,6,1],[7,2,6,1,7,1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,
2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1],[6,1,7,-1,4,1,6,1,7,
1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[4,1,6,1],[6,1,7,1,6,1,7,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[
1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,-1,4,-1,6,2,4,-1]],[[1,1,2,1],[1,1,
2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,-1,4,1,6,
1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[6,1,4,1],[6,1,7,-1,4,1,6,1,7,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,
2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,2,4,1,6,1,4,1]],[[1,1,2,1],[
1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,-2,4,
1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,
-1,5,2],[4,1,6,1],[6,1,7,1,6,1,7,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,
2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,-1,4,-1,6,2,4,-1]],[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,3,4,1,
6,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[6,1,4,1,6,1,4,-1,6,-2,4,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[4,-1,6,1,4,-1,6,-1,7,2]],[[1,1,
2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,
-1,4,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,
1,2,-1,5,2],[6,1,4,1],[6,1,7,-1,4,1,6,1,7,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,
2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[7,1,6,1,4,-1,6,2,4,1,6,
1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,
-1,5,2],[6,1,4,-1,6,-1],[7,1,4,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,
2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,1,6,1],[7,1,8,-2,7,
-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[4,-1],[6,1,4,-1,6,-1],[7,1,8,1,7,1,8,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,2,4,-1,6,-1,4,-1,6,
-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[4,-1],[6,1,4,-1,6,-1],[8,1,7,1,8,1,7,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[4,1,6,1],[8,1,6,1,7,-1,6,
1,8,1,7,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,
1,2,-1,5,2],[4,1,6,-1,4,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,
1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,1,6,1],[7,1,8,-2,7,-1]]],[[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,
6,1,4,-1,6,-2,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,
2,1,1,1,2,-1,5,2],[6,1,4,-1,6,-1,4,-1,6,-1,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,
2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,2,4,-1,6,-1]]],[[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,
1,4,1,6,1],[7,1,8,-2,7,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,1,7,2,6,1,4,-1]],[[1,1,2,1],[1,1,2,-1,
3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,2,4,1,6,2]]],[[[
1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,
1,6,1],[7,2,6,1,4,-1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[6,2,4,1,6,2,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,2,4,1,6,2]]],[[[1,1,2,1],[
1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[4,1,6,
1],[7,1,6,1,8,1,7,1,6,-1,8,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,
1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[4,-1,6,-2,7,-2]],[[1,1,2,1],[1,1,2,
-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,1,4,-1,6,
-2,4,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,
2,-1,5,2],[4,1,6,1],[6,2,4,1,7,-2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,-1,4,1,6,1]],[[1,1,2,1],[1,1,2,-1,
3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1,4,1,6,-2,4,
1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[4,-1],[6,1,4,-1,6,-1],[8,1,7,1,8,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,1,4,1,6,-2]],[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,
1],[7,1,4,-1,6,-1,7,1,4,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,
1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,1,4,-1,7,-1,6,-1]],[[1,1,2,1],[1,1,
2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,3,4,1,6,-1]],[[
1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,
2,4,1,6,2,4,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,
1,1,1,2,-1,5,2],[4,-1,6,1,4,1,6,-2,4,1,6,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,1,4,-1,6,-1,4,1,6,1]],[[
1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,
1,6,1],[4,-1,6,-2,7,2]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,-1,4,-1,6,2,4,-1]],[[1,1,2,1],[1,1,2,-1,
3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,2,4,1,7,
-2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[6,1,4,1],[6,1,7,-1,4,1,6,1,7,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,
2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,2,6,1,7,1,4,-1]],[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,2,
4,1,6,1,4,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,
1,1,1,2,-1,5,2],[4,1,6,2,4,-1,6,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,
3,-1,4,1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,-1,7,1,6,-1,2,-2],[5,-1],[5,1,8,1],[
10,1,8,1,9,-1,8,1,10,1,9,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,
1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,-1,7,1,6,-1,2,-2],[5,1,8,-1,5,1,8,1]],[[1,
1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,
-1,7,1,6,-1,2,-2],[5,-1],[8,1,5,1,8,1],[9,1,10,-2,9,-1]]],[[[1,1,2,1],[1,1,2,
-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,1,4,-1,6,
-2,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,
-1,5,2],[4,-1,6,1,4,-1,6,2,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[
1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,3,4,-1]]],[[[1,1,2,1],[1,1,2,-1,3,
1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,2,4,-1,6,-1,4,
-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[6,3,4,1,6,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,
2,1,1,1,2,-1,5,2],[6,2,4,1,6,2,4,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,
2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,2,6,1,4,-1,6,1]],[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,3,4,1,
6,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[6,1,4,1,6,1,4,-1,6,-2,4,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1],[6,1,7,-1,4,1,6,1,7,1]],[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,
1],[7,1,4,-1,7,-1,6,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,-1,4,1,6,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,
2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,2,6,1,4,-1,6,
1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[4,1,6,-3,4,-1,6,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1],[6,1,7,-1,4,1,6,1,7,1]]],[[[1,1,2,1],[1,1,
2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[7,1,6,1,4,
-1,6,-1,4,1,6,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,
1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,-1,4,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,-1,4,-1,6,1,4,
-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[6,1,4,1,6,1,4,-1,6,-2,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[
1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,2,4,-1,6,-1]],[[1,1,2,1],[1,1,2,-1,3,1,
1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,2,4,1,7,
-2]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[6,1,4,1,6,-1,4,-1,6,2,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,3,4,1,6,-1]],[[1,1,2,1],[1,1,2,-1,3,1,
1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1],[6,1,7,-1,4,1,6,
1,7,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,
-1,5,2],[4,1,6,1],[7,2,6,1,7,1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,-1,4,-1,6,1,4,1,6,-1]],[[1,1,2,1],[
1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,
2,4,-1,6,2]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,
1,1,2,-1,5,2],[4,-1],[6,1,4,-1,6,-1],[7,1,8,1,7,1,8,1]],[[1,1,2,1],[1,1,2,-1,
3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,-3,4,-1,6,
-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[6,1,4,1],[6,1,7,-1,4,1,6,1,7,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,
2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,1,4,-1,6,-2,7,-1]],[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,1,
4,1,6,3]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,
-1,5,2],[4,1,6,1],[6,2,4,1,7,-2]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,-1,6,-1],[7,1,8,1,7,1,8,
1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[6,3,4,1,6,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,
2,1,1,1,2,-1,5,2],[4,-1,6,2,4,1,6,2,4,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[4,1,6,1],[7,1,6,1,8,1,7,
1,6,-1,8,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,
1,2,-1,5,2],[4,-1],[7,1,6,1,4,1,6,-1,7,1,6,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,1,4,-1,6,-2,4,1]]],[[[
1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,
-1,6,2,4,1,6,1,4,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,2,4,1,7,-2]],[[1,1,2,1],[1,1,2,-1,3,1,
1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,1,4,1,6,1,4,-1,
6,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,
-1,5,2],[4,-1],[6,1,4,-1,6,-1],[7,1,8,1,7,1,8,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,
1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,2,4,1,6,1,4,1,6,
1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[6,3,4,1,6,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,
1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,1,4,-1,6,-2,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,
2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,-3,4,-1,6,-1]],[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,
1],[6,2,4,1,7,-2]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,
1,2,1,1,1,2,-1,5,2],[4,-1],[7,1,6,-1,4,-1,6,-1,7,1,6,2,4,-1]],[[1,1,2,1],[1,1,
2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,-2,7,
2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[4,-1],[6,1,4,-1,6,-1],[7,1,8,1,7,1,8,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,1,4,-1,6,-2,4,1]],[[1,
1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,3,
4,1,6,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,
2,-1,5,2],[6,1,4,1,6,3,4,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,
1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,-1,4,-1,6,1,4,1,6,1]],[[1,1,2,1],[1,
1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,3,4,1,6,
-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[6,1,4,1],[6,1,7,-1,4,1,6,1,7,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,
2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,1,4,-1,6,-2,4,1]],[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,1,
4,-1,6,2,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,
1,1,2,-1,5,2],[4,1,6,1],[6,2,4,1,7,-2]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,
2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,-1,4,-1,6,1,4,1,6,1]],[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,-1,
4,-1,6,-1,4,-1,6,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,
1,2,1,1,1,2,-1,5,2],[6,2,4,1,6,2,4,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,
2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[7,1,6,1,4,-1,6,-1,4,1,6,2,7,
1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[4,-1,6,2,4,-1,6,-1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,
2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1],[6,1,7,-1,4,1,6,1,7,1]]],[[[1,1,2,1],[1,
1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,-1,4,
-1,6,1,4,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,
1,1,1,2,-1,5,2],[4,1,6,1,4,-1,6,2,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,
2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,2,4,1,6,2,4,-1]]],[[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1,
4,1,6,-1,4,-1,6,2,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[
5,1,2,1,1,1,2,-1,5,2],[4,1,6,-3,4,-1,6,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,
3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,2,6,1,7,1,4,-1]]],[[[1,
1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,
6,1],[4,-1,6,1,4,-1,6,-1,7,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,
1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1],[6,1,7,-1,4,1,6,1,7,1]],[[1,1,2,1],[1,
1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,2,
4,1,7,-2]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,
1,2,-1,5,2],[4,-1],[7,1,6,1,4,-1,6,-1,4,1,6,2,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,
1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[4,-1,6,-2,7,
-2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[4,1,6,1],[7,1,4,-1,7,-1,6,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[4,-1,6,-2,7,-2]],[[1,1,2,1],[1,
1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,-1,
4,-1,6,-1,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,
1,1,2,-1,5,2],[4,1,6,1],[7,1,4,-1,6,-2,7,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,
2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,1,4,-1,6,-2,4,1]],[[
1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,
1,4,-1,6,-1,4,-1,6,-1,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,2,4,1,7,-2]]],[[[1,1,2,1],[1,1,2,-1,3,
1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,2,6,1,4,-1,
6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[6,2,4,1,6,2,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[
5,1,2,1,1,1,2,-1,5,2],[4,-1,6,2,4,1,6,2,4,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,
2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,-1,4,-1,6,2,4,
-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[6,1,4,1],[6,1,7,-1,4,1,6,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,1,4,-1,6,-1,7,1,6,1]]],[[[1,
1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,
-1],[7,1,6,1,4,1,6,-1,7,1,6,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,
1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1,4,-1,6,2,4,-1]],[[1,1,2,1],[1,1,2,-1,3,
1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,-1,4,-1,6,1,4,
1,6,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,
-1,5,2],[4,-1],[7,1,6,1,4,1,6,-1,7,1,6,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,
3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1,4,-1,6,2,4,-1]],[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,
1,4,-1,6,-1],[8,1,7,1,8,1,7,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[
1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[7,1,6,1,4,-1,6,-1,4,1,6,2,7,1]],[[1,1,
2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,
1,4,1,6,-1,4,-1,6,2,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,2,4,1,7,-2]]],[[[1,1,2,1],[1,1,2,-1,3,
1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,-1,4,-1,6,2,4,
-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[6,1,4,1,6,1,4,-1,6,-2,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,
1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1],[6,1,7,-1,4,1,6,1,7,1]]],[[[1,1,2,1],[
1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1],[6,
1,7,-1,4,1,6,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,
1,2,1,1,1,2,-1,5,2],[4,-1,6,2,4,-1,6,-1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,1,4,-1,6,-2,4,1]]],[[[
1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,
-1],[6,1,4,-1,6,-1,7,-1,6,1,4,1,6,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,
2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,-1,4,-1,6,2,4,-1]],[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[4,
1,6,1],[8,1,6,1,7,-1,6,1,8,1,7,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,1,4,1,6,3]],[[1,1,2,1],[1,1,2,-1,
3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,1,4,-1,7,
-1,6,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,
-1,5,2],[6,2,4,-1,6,-1,4,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,
1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,-1,4,-1,6,2,4,-1]],[[1,1,2,1],[1,1,2,
-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,2,4,-1,6,-1,
4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[6,1,4,1],[6,1,7,-1,4,1,6,1,7,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,
2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[4,-1,6,1,4,-1,6,-1,7,2]],[[
1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,
1,6,1],[7,1,4,-1,7,-1,6,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,
2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,2,6,2,4,1]]],[[[1,1,2,1],[1,1,2,-1,3,
1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1,4,1,6,-1,4,-1,6,
2,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,
-1,5,2],[4,1,6,-3,4,-1,6,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,
2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,-1,6,-1],[7,1,8,1,7,1,8,1]]],[[[1,1,
2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,
1],[7,2,6,1,4,-1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[
5,1,2,1,1,1,2,-1,5,2],[4,1,6,2,4,-1,6,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,
3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,2,4,1,6,1,4,1,6,1]]],[[[1,1,
2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,
1],[7,2,6,1,4,-1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[
5,1,2,1,1,1,2,-1,5,2],[4,1,6,2,4,-1,6,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,
3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,2,4,1,6,2,4,1]]],[[[1,1,2,1],[1,
1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[4,1,6,
1],[8,1,6,1,7,-1,6,1,8,1,7,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,
1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,1,4,-1,6,-2,4,1]],[[1,1,2,1],[1,1,2,
-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,2,6,2,
4,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,
-1,5,2],[4,-1],[7,1,6,1,4,-1,6,-3,7,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,
2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,1,4,-1,7,-1,6,-1]],[[1,1,
2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,
1,4,-1,6,2,4,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,
2,1,1,1,2,-1,5,2],[6,1,4,1,6,1,4,-1,6,-2,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,1,4,-1,6,2,4,1]],[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,1,
4,1,6,1,4,1,6,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,
1,2,1,1,1,2,-1,5,2],[6,2,4,1,6,1,4,1,6,1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,
2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,1,4,-1,6,-2,4,1]],[[
1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,
1,4,1],[6,1,7,-1,4,1,6,1,7,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[
1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[4,1,6,1],[8,1,6,1,7,-1,6,1,8,1,7,
-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[4,1,6,1],[6,1,7,1,6,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,
1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,-2,4,1,6,1,4,-1,6,-1]]],[[[1,1,2,1],[1,1,
2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,2,4,1,6,
2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[6,1,4,1],[4,-1,7,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,-1,4,-1,6,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,
1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,-1,6,-1,7,-1,
6,1,4,1,6,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,
1,1,1,2,-1,5,2],[4,-1,6,1,4,-1,6,2,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,
2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[7,1,6,3,4,1,6,-1,7,-1]]],[[[1,
1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,
4,1],[6,1,7,-1,4,1,6,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,
2,1],[5,1,2,1,1,1,2,-1,5,2],[6,2,4,-1,6,-1,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,
2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,-2,4,1,6,-1,4,-1]]],[[[
1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,
-1],[6,1,4,-1,6,-1,7,-1,6,1,4,1,6,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,
2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,1,4,-1,6,2,4,1]],[[1,1,2,1],[
1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,2,4,-1,6,
-1,4,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,
2,-1,5,2],[6,1,4,1,6,-1,4,-1,6,-1,4,-1,6,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,2,4,-1,6,-1,4,-1]],[[1,1,
2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,
3,4,1,6,-1,4,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,
2,1,1,1,2,-1,5,2],[4,1,6,1],[7,1,4,-1,6,-2,7,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,
1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,1,4,1,6,3]],[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,
1],[6,1,7,-1,4,1,6,1,7,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,
2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,2,6,1,4,-1,6,1]],[[1,1,2,1],[1,1,2,
-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,3,4,1,6,-1]],[[1,
1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,
6,2,4,1,6,1,4,1,6,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[
5,1,2,1,1,1,2,-1,5,2],[6,2,4,1,6,1,4,1,6,1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,
1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,1,4,-1,6,2,4,1]],[[1,
1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,
4,1],[6,1,7,-1,4,1,6,1,7,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,
1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,2,6,1,7,1,4,-1]],[[1,1,2,1],[1,1,2,
-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,3,4,1,6,-1]],[[1,
1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,
6,2,4,1,6,2,4,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,
1,2,1,1,1,2,-1,5,2],[4,-1],[7,1,6,1,4,1,6,-1,7,1,6,2]],[[1,1,2,1],[1,1,2,-1,3,
1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,1,4,-1,6,2,4,
1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[6,1,4,1,6,1,4,-1,6,-2,4,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[
1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1],[4,1,6,1,7,-1,4,-1,6,1,7,1]],[[1,1,
2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,
1],[4,-1,7,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,
1,1,2,-1,5,2],[4,1,6,-1,4,-1,6,-1,4,-1,6,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,
2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,-1,6,-1,7,-1,6,1,
4,1,6,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,
1,2,-1,5,2],[6,2,4,1,6,2,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,
1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[7,1,6,3,4,1,6,-1,7,-1]]],[[[1,1,2,1],[1,
1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,1,
4,-1,6,-2,7,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,
1,1,1,2,-1,5,2],[4,-1,6,1,4,1,6,3]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,1,4,-1,6,-2,4,1]]],[[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,
6,1,4,-1,6,-2,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,
2,1,1,1,2,-1,5,2],[6,2,4,-1,6,-1,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,
2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,-2,4,1,6,-1,4,-1]]],[[[1,1,2,1],[
1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,
2,6,1,7,1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,
1,1,1,2,-1,5,2],[6,3,4,1,6,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,
1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,2,4,1,6,1,4,1,6,1]]],[[[1,1,2,1],[1,1,2,
-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1,4,1,6,-1,4,
-1,6,2,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,
1,2,-1,5,2],[4,1,6,-1,4,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,
1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[7,1,6,1,4,-1,6,-1,7,1,6,-1,4,-1]]],[[[1,
1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,2,
4,1,6,1,4,1,6,1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[
5,1,2,1,1,1,2,-1,5,2],[4,-1,6,1,4,-1,6,2,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,1,4,-1,6,-2,4,1]]],[[[
1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,
-1],[7,1,6,1,4,1,6,-1,7,1,6,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,
1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,1,4,-1,6,-2,4,1]],[[1,1,2,1],[1,1,2,
-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,-1,4,-1,
6,-1,4,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,
1,2,-1,5,2],[4,1,6,1],[4,-1,6,1,4,-1,6,-1,7,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,
2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1],[6,1,7,-1,4,1,6,1,7,
1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[4,-1,6,2,4,-1,6,-1,4,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,
1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,-1,6,-1,7,-1,6,1,4,1,6,1,7,1]],[[
1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,
-1],[4,1,6,1],[8,1,6,1,7,-1,6,1,8,1,7,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,
3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,2,4,-1,6,-1,4,1]]],[[[1,1,2,1],[
1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,1,4,1,
6,3]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[4,-1,6,1,4,-1,6,2,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,
2,1],[5,1,2,1,1,1,2,-1,5,2],[6,2,4,-1,6,-1,4,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,
1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[7,1,6,1,4,-1,6,-1,4,
1,6,2,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,
2,-1,5,2],[4,-1,6,2,4,-1,6,-1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,2,6,2,4,1]]],[[[1,1,2,1],[2,
1,1,1],[4,1,3,-1,4,1,2,-2,3,1],[1,1,2,1],[2,1,1,1],[6,1,7,-2,6,2,2,1],[8,2],[
9,1,5,-2,9,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-2,3,1],[1,1,2,1],[2,1,1,
1],[6,1,7,-2,6,2,2,1],[8,3,5,-1,8,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-2,
3,1],[5,-2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,-1,2,-2],[1,1,2,1],[2,1,1,1],[
7,1,6,-1,7,1,2,1,7,-1,6,1],[5,1,8,2,5,1,8,-2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,
3,-1,2,-2],[1,1,2,1],[2,1,1,1],[7,1,6,-1,7,1,2,1,7,-1,6,1],[8,1,5,-1,8,1,5,-1,
8,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,-1,2,-2],[5,-2]]],[[[1,1,2,1],[2,1,1,
1],[3,1,4,3,3,-1,4,1],[1,1,2,1],[2,1,1,1],[6,1,7,2,6,-1,2,-1],[8,2],[9,1,5,-2,
9,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,3,3,-1,4,1],[1,1,2,1],[2,1,1,1],[6,1,7,2,6,
-1,2,-1],[8,3,5,-1,8,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,3,3,-1,4,1],[5,-2]]],[[[
1,1,2,1],[2,1,1,1],[3,1,4,3,3,-1,4,1],[1,1,2,1],[2,1,1,1],[6,1,7,2,6,-1,2,
-1],[5,1,8,2,5,1,8,-2]],[[1,1,2,1],[2,1,1,1],[3,1,4,3,3,-1,4,1],[1,1,2,1],[2,
1,1,1],[6,1,7,2,6,-1,2,-1],[8,1,5,-1,8,1,5,-1,8,-1]],[[1,1,2,1],[2,1,1,1],[3,
1,4,3,3,-1,4,1],[5,-2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,3,3,-1,4,1],[1,1,2,1],[
2,1,1,1],[6,1,7,2,6,-1,2,-1],[8,2],[9,1,5,-2,9,-1]],[[1,1,2,1],[2,1,1,1],[3,1,
4,3,3,-1,4,1],[1,1,2,1],[2,1,1,1],[6,1,7,2,6,-1,2,-1],[5,-2,8,-1,5,1,8,2]],[[
1,1,2,1],[2,1,1,1],[3,1,4,3,3,-1,4,1],[5,-2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,
-2,3,-1,2,-2],[1,1,2,1],[2,1,1,1],[7,1,6,-1,7,1,2,1,7,-1,6,1],[8,2],[9,1,5,-2,
9,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,-1,2,-2],[1,1,2,1],[2,1,1,1],[7,1,6,
-1,7,1,2,1,7,-1,6,1],[8,3,5,-1,8,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,-1,2,
-2],[5,-2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,3,3,-1,4,1],[1,1,2,1],[2,1,1,1],[6,
1,7,2,6,-1,2,-1],[8,1,5,-1,8,1,5,-1,8,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,3,3,-1,
4,1],[1,1,2,1],[2,1,1,1],[6,1,7,2,6,-1,2,-1],[8,3,5,-1,8,1]]],[[[1,1,2,1],[2,
1,1,1],[3,1,4,-2,3,-1,2,-2],[1,1,2,1],[2,1,1,1],[7,1,6,-1,7,1,2,1,7,-1,6,1],[
5,1,8,-1,5,1,8,2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,-1,2,-2],[5,-2]]],[[[1,1,
2,1],[2,1,1,1],[3,1,4,-2,3,-1,2,-2],[1,1,2,1],[2,1,1,1],[7,1,6,-1,7,1,2,1,7,
-1,6,1],[8,2,5,-1,8,-2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,-1,2,-2]]],[[[1,1,2,
1],[2,1,1,1],[3,1,4,3,3,-1,4,1],[1,1,2,1],[2,1,1,1],[6,1,7,2,6,-1,2,-1],[5,1,
8,-1,5,1,8,2]],[[1,1,2,1],[2,1,1,1],[3,1,4,3,3,-1,4,1],[5,-2]]],[[[1,1,2,1],[
2,1,1,1],[3,1,4,3,3,-1,4,1],[1,1,2,1],[2,1,1,1],[6,1,7,2,6,-1,2,-1],[8,2,5,-1,
8,-2]],[[1,1,2,1],[2,1,1,1],[3,1,4,3,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,
-1,4,1,2,-2,3,1],[1,1,2,1],[2,1,1,1],[6,1,7,-2,6,2,2,1],[8,2,5,-1,8,-2]],[[1,
1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-2,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,
1,2,-2,3,1],[1,1,2,1],[2,1,1,1],[6,1,7,-2,6,2,2,1],[5,1,8,-1,5,1,8,2]],[[1,1,
2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-2,3,1],[5,-2]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,
2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[7,1,6,-1,7,1,6,1,4,1,6,
1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[4,1,6,1],[7,2,4,-1,7,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,
2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,1,7,1,4,1,6,-1,7,-1]]],[[[1,1,2,1],[
2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[7,-2,4,1,7,-1]],[[1,1,2,1],[
2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[7,1,4,1,7,1,4,-1]]],[[[1,1,
2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,1,7,-2,4,1]],[[1,1,
2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,-2,7,1]]],[[[1,1,2,
1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,1,7,1,4,-2,7,-1]],[[1,
1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,1,7,-1,4,-1,7,
-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[4,1,6,-1],[7,1,6,-1,4,-1,6,1,7,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,
2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1,4,1]],[[1,1,2,1],[1,1,2,-1,3,
1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,1],[7,1,4,-1,
7,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,
-1,5,2],[4,1,6,1],[4,-1,6,-2,7,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,-2,4,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,
1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,2,4,1,6,-1,4,
-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-2,3,1],[1,1,2,1],[2,1,1,1],[6,1,
7,-2,6,2,2,1],[8,1,5,-1,8,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-2,3,1],[1,
1,2,1],[2,1,1,1],[6,1,7,-2,6,2,2,1],[8,1,5,1,8,1]]],[[[1,1,2,1],[2,1,1,1],[4,
1,3,-1,4,1,2,-2,3,1],[1,1,2,1],[2,1,1,1],[6,1,7,-2,6,2,2,1],[5,-2],[8,-1,5,1,
8,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-2,3,1],[1,1,2,1],[2,1,1,1],[6,1,7,
-2,6,2,2,1],[8,1,5,-1,8,3]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,3,3,-1,4,1],[1,1,2,
1],[2,1,1,1],[6,1,7,2,6,-1,2,-1],[5,1,8,-1],[9,2,8,-1]],[[1,1,2,1],[2,1,1,1],[
3,1,4,3,3,-1,4,1],[1,1,2,1],[2,1,1,1],[6,1,7,2,6,-1,2,-1],[5,-2],[8,-1,5,1,8,
1]]],[[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[7,1,4,1,7,
-1,4,-2]],[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,1,7,
-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[6,1,4,1,6,-3,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,-1,4,-1,6,-1,4,1]]],[[[1,1,2,1],[2,1,1,
1],[4,1,3,-1,4,1,2,-2,3,1],[1,1,2,1],[2,1,1,1],[6,1,7,-2,6,2,2,1],[5,-1,8,-1,
5,-1,8,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-2,3,1],[1,1,2,1],[2,1,1,1],[
6,1,7,-2,6,2,2,1],[5,-2,8,-1,5,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[4,-1,7,-1,6,-1,7,1]],[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,
1],[7,1,4,-1,7,-1,6,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-2,3,1],[1,1,
2,1],[2,1,1,1],[6,1,7,-2,6,2,2,1],[8,1,5,1,8,-2,5,-1]],[[1,1,2,1],[2,1,1,1],[
4,1,3,-1,4,1,2,-2,3,1],[1,1,2,1],[2,1,1,1],[6,1,7,-2,6,2,2,1],[8,1,5,-1,8,
3]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[4,-1,6,3,4,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,1,4,1,6,2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,
-2,3,-1,2,-2],[1,1,2,1],[2,1,1,1],[7,1,6,-1,7,1,2,1,7,-1,6,1],[8,1,5,-2,8,
-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,-1,2,-2],[1,1,2,1],[2,1,1,1],[7,1,6,-1,
7,1,2,1,7,-1,6,1],[5,1,8,1,5,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,-1,2,-2],[
1,1,2,1],[2,1,1,1],[7,1,6,-1,7,1,2,1,7,-1,6,1],[8,1,5,1,8,-3]],[[1,1,2,1],[2,
1,1,1],[3,1,4,-2,3,-1,2,-2],[1,1,2,1],[2,1,1,1],[7,1,6,-1,7,1,2,1,7,-1,6,1],[
5,-2,8,-1,5,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,-2,4,1,2,1,4,-1,3,1],[2,1,
1,1],[1,1,2,-1],[2,1,6,1],[7,1,6,-1,1,1,2,1,8,-1,7,1,6,-1,8,-1],[9,1,5,-1,9,1,
5,-2,9,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,-2,4,1,2,1,4,-1,3,1]]],[[[1,1,2,
1],[2,1,1,1],[3,1,4,-2,3,-1,2,-2],[1,1,2,1],[2,1,1,1],[7,1,6,-1,7,1,2,1,7,-1,
6,1],[5,-1,8,-1,5,-1,8,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,-1,2,-2],[1,1,2,
1],[2,1,1,1],[7,1,6,-1,7,1,2,1,7,-1,6,1],[5,-2,8,-1,5,1]]],[[[1,1,2,1],[2,1,1,
1],[2,1,4,1,3,-1,4,1,3,-1,4,1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,-1,7,1,6,-1,2,
-2],[8,1,5,1,8,-3,5,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1],[1,
1,2,1],[2,1,1,1],[2,1,7,-1,6,-1,7,1,6,-1,2,-2],[8,1,5,-1,8,-1,5,-1,8,-1,5,
1]]],[[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[7,1,4,1,7,
-1,4,-1,7,1]],[[1,1,2,1],[2,-1,3,2],[4,-2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,3,3,
-1,4,1],[1,1,2,1],[2,1,1,1],[6,1,7,2,6,-1,2,-1],[8,1,5,-1,8,1]],[[1,1,2,1],[2,
1,1,1],[3,1,4,3,3,-1,4,1],[1,1,2,1],[2,1,1,1],[6,1,7,2,6,-1,2,-1],[8,1,5,1,8,
1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,3,3,-1,4,1],[1,1,2,1],[2,1,1,1],[6,1,7,2,6,
-1,2,-1],[8,1,5,1,8,-2,5,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,3,3,-1,4,1],[1,1,2,
1],[2,1,1,1],[6,1,7,2,6,-1,2,-1],[8,1,5,-1,8,3]]],[[[1,1,2,1],[2,-1,3,2],[1,1,
2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,1,7,1,4,-1,7,-2]],[[1,1,2,1],[2,-1,3,2],[
1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[7,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,
3,-1,4,1,2,-2,3,1],[1,1,2,1],[2,1,1,1],[6,1,7,-2,6,2,2,1],[8,1,5,-1,8,1]],[[1,
1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-2,3,1],[1,1,2,1],[2,1,1,1],[6,1,7,-2,6,2,2,
1],[5,1,8,1,5,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-2,3,1],[1,1,2,1],[2,
1,1,1],[6,1,7,-2,6,2,2,1],[5,1,8,-1],[9,2,8,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,
-1,4,1,2,-2,3,1],[1,1,2,1],[2,1,1,1],[6,1,7,-2,6,2,2,1],[5,-2],[8,-1,5,1,8,
1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,-1,2,-2],[1,1,2,1],[2,1,1,1],[7,1,6,-1,
7,1,2,1,7,-1,6,1],[5,1,8,-1,5,-2,8,2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,-1,2,
-2],[1,1,2,1],[2,1,1,1],[7,1,6,-1,7,1,2,1,7,-1,6,1],[8,1,5,1,8,1]]],[[[1,1,2,
1],[2,1,1,1],[3,1,4,-2,3,-1,2,-2],[1,1,2,1],[2,1,1,1],[7,1,6,-1,7,1,2,1,7,-1,
6,1],[8,1,5,1,8,-2,5,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,-1,2,-2],[1,1,2,
1],[2,1,1,1],[7,1,6,-1,7,1,2,1,7,-1,6,1],[8,1,5,-1,8,3]]],[[[1,1,2,1],[2,-1,3,
2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,1,7,-1,4,-2,7,-2]],[[1,1,2,1],[2,
-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[7,1,4,-1,7,-1]]],[[[1,1,2,1],[
2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[7,1,4,-1,7,1,4,-2,7,1]],[[1,
1,2,1],[2,-1,3,2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,-1,2,-2],[1,1,2,1],[2,1,
1,1],[7,1,6,-1,7,1,2,1,7,-1,6,1],[8,1,5,-1,8,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,
-2,3,-1,2,-2],[1,1,2,1],[2,1,1,1],[7,1,6,-1,7,1,2,1,7,-1,6,1],[5,1,8,1,5,
1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[4,-1,6,-2,4,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,1,4,1,6,2]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,
2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,1,4,-1,6,-1,7,1,6,
1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[6,1,4,1,6,-3,4,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-2,3,1],[1,1,2,
1],[2,1,1,1],[6,1,7,-2,6,2,2,1],[8,1,5,1,8,-3]],[[1,1,2,1],[2,1,1,1],[4,1,3,
-1,4,1,2,-2,3,1],[1,1,2,1],[2,1,1,1],[6,1,7,-2,6,2,2,1],[5,-2,8,-1,5,1]]],[[[
1,1,2,1],[2,1,1,1],[1,1,2,-1,3,-2,4,1,2,1,4,-1,3,1],[2,1,1,1],[1,1,2,-1],[2,1,
6,1],[7,1,6,-1,1,1,2,1,8,-1,7,1,6,-1,8,-1],[9,1,5,1,9,-1,5,-1,9,1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1,3,-2,4,1,2,1,4,-1,3,1],[5,-2]]],[[[1,1,2,1],[2,1,1,1],[
3,1,4,-2,3,-1,2,-2],[1,1,2,1],[2,1,1,1],[7,1,6,-1,7,1,2,1,7,-1,6,1],[8,1,5,-1,
8,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,-1,2,-2],[1,1,2,1],[2,1,1,1],[7,1,6,-1,
7,1,2,1,7,-1,6,1],[8,1,5,1,8,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-2,3,
1],[1,1,2,1],[2,1,1,1],[6,1,7,-2,6,2,2,1],[8,1,5,1,8,-2,5,-1]],[[1,1,2,1],[2,
1,1,1],[4,1,3,-1,4,1,2,-2,3,1],[1,1,2,1],[2,1,1,1],[6,1,7,-2,6,2,2,1],[5,1,8,
-1],[9,2,8,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,
1,1,1,2,-1,5,2],[6,1,4,1],[7,1,6,1,7,-1,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,2,4,-1,6,1]]],[[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,
1],[7,1,6,-1,4,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[
5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,-1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,
-1,4,1,3,-1,4,1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,-1,7,1,6,-1,2,-2],[5,-1],[9,
1,8,-1,5,-1,8,-1,9,-1,8,1,5,1,8,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,
-1,4,1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,-1,7,1,6,-1,2,-2],[5,-1,8,1,5,-1,8,
-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,3,3,-1,4,1],[1,1,2,1],[2,1,1,1],[6,1,7,2,6,
-1,2,-1],[8,1,5,-2,8,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,3,3,-1,4,1],[1,1,2,1],[
2,1,1,1],[6,1,7,2,6,-1,2,-1],[5,1,8,1,5,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,3,3,
-1,4,1],[1,1,2,1],[2,1,1,1],[6,1,7,2,6,-1,2,-1],[8,1,5,1,8,-2,5,-1]],[[1,1,2,
1],[2,1,1,1],[3,1,4,3,3,-1,4,1],[1,1,2,1],[2,1,1,1],[6,1,7,2,6,-1,2,-1],[5,1,
8,-1],[9,2,8,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1],[1,1,2,
1],[2,1,1,1],[2,1,7,-1,6,-1,7,1,6,-1,2,-2],[8,-3,5,-1,8,-1]],[[1,1,2,1],[2,1,
1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,-1,7,1,6,-1,
2,-2],[8,1,5,-1,8,1,5,1,8,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,
1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,1,4,-1,6,-2]],[[1,1,2,1],[1,1,2,-1,3,
1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1],[7,1,6,-1,4,1,
7,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,
-1,5,2],[4,1,6,2,4,1,6,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,2,4,1,6,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,
2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,-3,4,-1,6,-1]],[[1,1,2,1],[
1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,1,
4,1,6,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,3,3,-1,4,1],[1,1,2,1],[2,1,1,1],[6,1,
7,2,6,-1,2,-1],[8,1,5,-2,8,1,5,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,3,3,-1,4,1],[
1,1,2,1],[2,1,1,1],[6,1,7,2,6,-1,2,-1],[8,1,5,-1,8,-2]]],[[[1,1,2,1],[1,1,2,
-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1],[7,1,6,-1,
4,-1,6,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,
1,1,2,-1,5,2],[6,1,4,1,6,1],[4,-1,7,-2]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,
3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,2,4,-1,6,1]],[[1,1,2,1],[1,1,
2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,3,4,1,6,1]],[[
1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,
-2,4,1,6,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,
1,1,2,-1,5,2],[6,1,4,1,6,-2,4,-1,6,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,
2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[
3,1,4,3,3,-1,4,1],[5,-2]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,2,-1],[5,
-2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,3,3,-1,4,1],[1,1,2,1],[2,1,1,1],[6,1,7,2,6,
-1,2,-1],[5,1,8,1,5,-1,8,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,3,3,-1,4,1],[1,1,2,
1],[2,1,1,1],[6,1,7,2,6,-1,2,-1],[5,-1,8,-1,5,1,8,1]]],[[[1,1,2,1],[2,1,1,1],[
3,1,4,-2,3,-1,2,-2],[1,1,2,1],[2,1,1,1],[7,1,6,-1,7,1,2,1,7,-1,6,1],[5,1,8,1,
5,-1,8,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,-1,2,-2],[1,1,2,1],[2,1,1,1],[7,
1,6,-1,7,1,2,1,7,-1,6,1],[5,-1,8,-1,5,1,8,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,
-2,3,-1,2,-2],[5,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,4,-1,3,1],[5,
-2]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[6,-2,4,1,6,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,
1,2,1,1,1,2,-1,5,2],[4,1,6,-1,4,-1,6,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,
-1,4,1,2,-2,3,1],[5,-2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,2,2,1],[5,-2]]],[[[
1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,
-1],[6,1,4,-1,6,-1],[8,1,7,1,8,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,
2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,2,4,1,6,2,4,1]],[[1,1,2,1],[1,1,2,-1,
3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,2,6,1,7,1,
4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[4,-1,6,2,4,1,6,2,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,
2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,1,7,1,6,1,7,1]],[[1,1,2,1],[1,1,2,-1,
3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,2,4,1,6,2]]],[[[
1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,
1,6,1],[7,1,4,1,7,-1,6,-1,7,2]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,2],[4,-5]],[[1,
1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,
4,1,6,-1,4,-1,6,1,4,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,1,4,-1,6,-2,4,1]],[[1,1,2,1],[1,1,2,-1,3,
1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,-2,4,-1,6,
2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[4,1,6,1],[6,2,4,1,7,-2]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,
1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,-1,4,-1,6,2,4,-1]],[[1,1,2,1],[1,1,2,
-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,-1,4,-1,
6,-1,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,
2,-1,5,2],[4,1,6,1],[7,1,4,-1,7,-1,6,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,
3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1,4,-1,6,2,4,-1]],[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,-1,
4,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,
-1,5,2],[6,3,4,1,6,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,3,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,2,4,-1,6,-1,4,1]],[[1,1,2,1],[
1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,-2,
4,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,
-1,5,2],[4,1,6,2,4,1,6,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1],[4,-1,7,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,
2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1],[6,1,7,-1,4,1,7,
1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[6,2,4,1,6,1,4,1,6,1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[
1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,1,4,-1,6,2,4,1]],[[1,1,2,1],[1,1,2,-1,
3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1],[6,1,7,-1,4,
1,6,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,
2,-1,5,2],[6,1,4,1,6,1,4,-1,6,-2,4,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,
2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,2,6,1,7,1,4,-1]],[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,-1,
4,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,
-1,5,2],[4,-1,6,2,4,1,6,1,4,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,3,4,1,6,-1]]],[[[1,1,2,1],[1,1,2,-1,3,
1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,-1,4,-1,6,2,4,
-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[4,-1,6,2,4,-1,6,-1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,
2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1],[6,1,7,-1,4,1,6,1,7,1]],[[1,1,2,1],[1,1,
2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,1,4,-1,
6,-2,4,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,
1,2,-1,5,2],[4,1,6,1],[7,2,6,1,4,-1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,
2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,2,4,-1,6,-1]],[[1,1,2,1],[1,1,
2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,2,4,1,6,1,
4,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,
-1,5,2],[6,1,4,1,6,3,4,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,
2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,1,4,-1,6,-2,4,1]],[[1,1,2,1],[1,1,2,-1,
3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,2,4,-1,6,-1,4,1]],[[
1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,
-1,6,1,4,1,6,3]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,
1,1,1,2,-1,5,2],[4,1,6,-2,4,1,6,-1,4,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,
3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,-1,6,-1,7,-1,6,1,4,1,
6,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,
-1,5,2],[4,-1,6,1,4,-1,6,2,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[
1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,2,4,-1,6,-1,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,
1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,1,6,1],[7,1,
8,-2,7,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,
1,2,-1,5,2],[4,-1,6,2,4,1,6,2,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1],[4,-1,7,2]],[[1,1,2,1],[1,1,2,
-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,-1,4,-1,6,-1,
4,-1,6,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,
2,-1,5,2],[4,1,6,2,4,1,6,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,
2,1],[5,1,2,1,1,1,2,-1,5,2],[6,2,4,1,6,2,4,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,
2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,-1,6,-1,7,-1,6,1,
4,1,6,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,
1,2,-1,5,2],[6,2,4,-1,6,-1,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[
1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,-1,6,-1],[8,1,7,1,8,1,7,1]],[[1,
1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,
6,1],[6,1,7,1,6,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[
5,1,2,1,1,1,2,-1,5,2],[4,-1,6,1,4,1,6,3]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,
3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,2,6,1,4,-1,6,1]],[[1,1,
2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,
2,4,1,6,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,
2,-1,5,2],[4,-1,6,2,4,1,6,1,4,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1],[6,1,7,-1,4,1,6,1,7,1]],[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,
6,1,4,-1,6,-2,4,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,
1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,-1,4,-1,6,2,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,
1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,3,4,1,6,-1]],[[1,1,2,1],[
1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,
1,4,-1,6,-1,7,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,
1,2,1,1,1,2,-1,5,2],[6,1,4,1],[6,1,7,-1,4,1,6,1,7,1]]],[[[1,1,2,1],[1,1,2,-1,
3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,2,6,1,4,
-1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,
-1,5,2],[6,3,4,1,6,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[
5,1,2,1,1,1,2,-1,5,2],[4,-1,6,2,4,1,6,1,4,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,
1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,1,4,-1,6,-2,4,
1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[4,1,6,1],[7,2,6,1,7,1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,3,4,1,6,-1]],[[1,1,2,1],[1,1,2,-1,3,1,
1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,2,4,1,6,2,4,-1]],[[
1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,
1,4,1],[6,1,7,-1,4,1,6,1,7,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[
1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,1,4,-1,6,-2,4,1]],[[1,1,2,1],[1,1,
2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,1,4,-1,6,
2,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,
-1,5,2],[4,1,6,2,4,-1,6,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,
2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,2,4,1,7,-2]]],[[[1,1,2,1],[1,1,2,-1,
3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,2,6,1,7,1,
4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[4,1,6,-1,4,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,1,4,-1,6,-2,4,1]],[[1,1,2,1],[1,1,2,-1,3,
1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,2,4,1,6,2]]],[[[1,
1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,
4,1,6,1,4,-1,6,-2,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[
5,1,2,1,1,1,2,-1,5,2],[4,-1,6,1,4,-1,6,2,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,2,4,1,7,-2]],[[1,1,
2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,
1,6,3,4,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,
1,1,2,-1,5,2],[4,1,6,1],[7,2,6,1,4,-1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,
3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,3,4,1,6,-1]],[[1,1,2,1],[1,1,2,
-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,2,4,1,6,1,4,
1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,
-1,5,2],[6,1,4,1],[6,1,7,-1,4,1,6,1,7,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,
3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[4,-1,6,1,4,-1,6,-1,7,
2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[4,1,6,-1,4,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[
5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,2,6,2,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,1,4,-1,7,-1,6,
-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[4,1,6,1],[7,2,6,1,7,1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,3,4,1,6,-1]],[[1,1,2,1],[1,1,2,-1,3,1,
1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,2,4,1,6,2,4,-1]],[[
1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,
1,4,1,6,1,4,-1,6,-2,4,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,1,4,-1,6,-2,4,1]],[[1,1,2,1],[1,1,2,-1,3,
1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,-1,4,-1,6,-1,
4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[4,1,6,1],[6,2,4,1,7,-2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,
1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,-3,4,-1,6,-1]]],[[[1,1,2,1],[1,1,2,-1,3,
1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1],[6,1,4,-1,6,-1],[
7,1,8,1,7,1,8,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,
1,1,1,2,-1,5,2],[6,1,4,1,6,-1,4,-1,6,2,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,1,7,1,6,1,7,1]],[[1,
1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,2,
4,1,6,2,4,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,
1,1,2,-1,5,2],[6,1,4,1,6,-1,4,-1,6,2,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,
3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,-1,4,1,6,1]],[[1,1,2,1],[1,1,
2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,2,4,1,6,2,4,
1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[6,1,4,-1,6,-3]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,
1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,1,4,-1,6,-2,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,
2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,-1,4,-1,6,-1,4,
1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[4,1,6,2,4,-1,6,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[
5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,2,4,1,7,-2]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,
1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,2,6,1,7,1,4,
-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[6,3,4,1,6,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,
2,1,1,1,2,-1,5,2],[4,-1,6,2,4,1,6,1,4,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1],[6,1,7,-1,4,1,6,1,7,
1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[4,1,6,1],[7,2,6,1,7,1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,-1,4,1,6,1]],[[1,1,2,1],[1,1,2,-1,
3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1],[6,1,7,-1,4,
1,6,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,
2,-1,5,2],[4,1,6,1],[6,1,7,1,6,1,7,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,
2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[4,-1,6,1,4,-1,6,-1,7,2]],[[
1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,
1,6,-1,4,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,
1,1,1,2,-1,5,2],[6,1,4,1],[6,1,7,-1,4,1,6,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,
1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,2,4,1,7,
-2]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[4,-1,6,1,4,1,6,3]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,1,4,-1,7,-1,6,-1]],[[1,1,2,1],[1,1,2,
-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,2,4,-1,6,-1,4,
1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[4,1,6,2,4,1,6,2]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[
5,1,2,1,1,1,2,-1,5,2],[4,-1,6,2,4,-1,6,-1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,
2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,-1,4,1,6,1]],[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,
1],[7,1,4,-1,7,-1,6,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,-3]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,2,6,1,7,1,4,-1]],[[
1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,
-1,6,2,4,1,6,1,4,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,2,4,-1,6,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,3,4,-1]]],[[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,
6,-1,4,-1,6,2,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,
1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,2,4,1,7,-2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,1,4,-1,6,-1,7,1,6,
1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[6,1,4,1],[6,1,7,-1,4,1,6,1,7,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,
2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,-1,4,-1,6,1,4,1,6,1]],[[1,1,
2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,
1],[7,1,4,-1,7,-1,6,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,2,4,-1,6,-1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,
1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1],[6,1,7,-1,4,1,6,
1,7,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,
-1,5,2],[4,1,6,1],[7,2,6,1,4,-1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,2,4,1,6,2,4,1]],[[1,1,2,1],[1,1,2,-1,3,
1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,2,4,1,6,2,4,
-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[4,1,6,2,4,1,6,2]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[
5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,2,6,1,7,1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,
1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,3,4,1,6,-1]],[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,2,
4,1,6,1,4,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,
1,1,1,2,-1,5,2],[6,1,4,1,6,1,4,-1,6,-2,4,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,-1,4,-1,6,2,4,-1]],[[
1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,
3,4,1,6,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,
1,2,-1,5,2],[4,1,6,1],[7,2,6,2,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,1,4,-1,7,-1,6,-1]]],[[[1,1,2,
1],[2,1,1,1],[3,1,4,-2,3,-1,2,-2],[1,1,2,1],[2,1,1,1],[7,1,6,-1,7,1,2,1,7,-1,
6,1],[8,3,5,-1,8,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,-1,2,-2]]],[[[1,1,2,1],[
2,1,1,1],[3,1,4,-2,3,-1,2,-2],[1,1,2,1],[2,1,1,1],[7,1,6,-1,7,1,2,1,7,-1,6,
1],[8,3,5,-1,8,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,-1,2,-2],[1,1,2,1],[2,1,1,
1],[7,1,6,-1,7,1,2,1,7,-1,6,1],[5,1,8,-2,5,-1,8,1]],[[1,1,2,1],[2,1,1,1],[3,1,
4,-2,3,-1,2,-2],[5,-2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,3,3,-1,4,1],[1,1,2,1],[
2,1,1,1],[6,1,7,2,6,-1,2,-1],[8,3,5,-1,8,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,3,3,
-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,1,2,1,1,1,4,1,3,-1,2,-2],[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[2,1,7,-1,6,-1,7,1,8,-1,2,-2,6,1,7,-1,8,1],[5,1,9,-1,
5,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,-1,3,-1,4,1,5,-1,2,-2,3,1,4,-1,
5,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-2,3,1],[1,1,2,1],[2,1,1,1],[6,1,
7,-2,6,2,2,1],[8,3,5,-1,8,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-2,3,
1]]],[[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,1,2,1,1,1,4,1,3,-1,2,-2],[1,1,2,1],[2,1,
1,1],[1,1,2,-1],[2,1,7,-1,6,-1,7,1,8,-1,2,-2,6,1,7,-1,8,1],[9,1,5,1,9,-1]],[[
1,1,2,1],[2,1,1,1],[3,2,2,1,4,1,2,1,1,1,4,1,3,-1,2,-2]]],[[[1,1,2,1],[2,1,1,
1],[3,1,4,3,3,-1,4,1],[1,1,2,1],[2,1,1,1],[6,1,7,2,6,-1,2,-1],[5,1,8,-2,5,-1,
8,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,3,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,
-1,4,1,2,-2,3,1],[1,1,2,1],[2,1,1,1],[6,1,7,-2,6,2,2,1],[5,1,8,-2,5,-1,8,
1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-2,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,
4,-2,3,-1,2,-2],[1,1,2,1],[2,1,1,1],[7,1,6,-1,7,1,2,1,7,-1,6,1],[8,1,5,1,8,-1,
5,1,8,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,-1,2,-2]]],[[[1,1,2,1],[2,1,1,1],[
3,2,2,1,4,1,2,1,1,1,4,1,3,-1,2,-2],[5,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,
1,4,-1,3,-1,4,1,5,-1,2,-2,3,1,4,-1,5,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,
2,-2,3,1],[1,1,2,1],[2,1,1,1],[6,1,7,-2,6,2,2,1],[8,1,5,1,8,-1,5,1,8,-1]],[[1,
1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-2,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,
-1,2,-2],[1,1,2,1],[2,1,1,1],[7,1,6,-1,7,1,2,1,7,-1,6,1],[5,1,8,-2,5,-1,8,
1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,-1,2,-2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,
3,3,-1,4,1],[1,1,2,1],[2,1,1,1],[6,1,7,2,6,-1,2,-1],[8,3,5,-1,8,1]],[[1,1,2,
1],[2,1,1,1],[3,1,4,3,3,-1,4,1],[1,1,2,1],[2,1,1,1],[6,1,7,2,6,-1,2,-1],[8,1,
5,-1,8,1,5,-1,8,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,3,3,-1,4,1],[5,-2]]],[[[1,1,
2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,-1,
7,1,6,-1,2,-2],[5,1,8,2,5,1,8,2]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,
4,1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,-1,7,1,6,-1,2,-2],[5,-1,8,-1,5,-1,8,
-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[4,1,6,2,4,1,6,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[
5,1,2,1,1,1,2,-1,5,2],[4,-1,6,-1,4,-1,6,-1]]],[[[1,1,2,1],[2,-1,3,2],[1,1,2,
1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[7,1,4,-1,7,-2]],[[1,1,2,1],[2,-1,3,2],[1,1,2,
1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,-1,7,-2,4,-1]],[[1,1,2,1],[2,-1,3,2],[1,1,
2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,-2,7,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,
3,-1,4,1,3,-1,4,1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,-1,7,1,6,-1,2,-2],[8,1,5,
-1,8,-3]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1],[1,1,2,1],[2,1,1,
1],[2,1,7,-1,6,-1,7,1,6,-1,2,-2],[5,1,8,1,5,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,
1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,3,4,-1]],[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1,
4,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1],[1,1,2,1],[2,1,1,1],[
2,1,7,-1,6,-1,7,1,6,-1,2,-2],[5,1,8,-1,5,1,8,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,
1,3,-1,4,1,3,-1,4,1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,-1,7,1,6,-1,2,-2],[5,-1,
8,-1,5,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,
1,2,-1,5,2],[4,1,6,-1,4,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,
1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,-1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,
1,3,-1,4,1,3,-1,4,1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,-1,7,1,6,-1,2,-2],[5,-1,
8,1,5,-1,8,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1],[1,1,2,1],[2,
1,1,1],[2,1,7,-1,6,-1,7,1,6,-1,2,-2],[5,1,8,1,5,1]]],[[[1,1,2,1],[1,1,2,-1,3,
1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,1,4,-1,6,-1]],[[
1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,
1,6,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1],[1,1,2,1],[2,1,
1,1],[2,1,7,-1,6,-1,7,1,6,-1,2,-2],[8,1,5,1,8,3,5,-1]],[[1,1,2,1],[2,1,1,1],[
2,1,4,1,3,-1,4,1,3,-1,4,1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,-1,7,1,6,-1,2,-2],[
5,1,8,1,5,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,
1,1,2,-1,5,2],[6,1,4,-1,6,-3]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,
1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1,4,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,2,4,-1]],[[1,1,2,1],[
1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,1,4,
-1,6,-1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,
1,1,2,-1,5,2],[6,-2,4,1,6,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,
1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,-2,4,1,6,-1]],[[1,1,2,1],[1,1,2,-1,3,1,
1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,-1,4,1,6,1]],[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,2,4,-1,
6,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,
-1,5,2],[6,2,4,1,6,2,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[6,-1,4,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,
2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1],[7,2,6,-1]]],[[[1,1,2,1],[1,
1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,2,4,1,6,
2,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,
-1,5,2],[6,3,4,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[
5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,
2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,1,4,1,6,-3]],[[1,1,2,1],[1,1,
2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1,4,1]],[[
1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,
1,4,-1,6,-1,4,-1,6,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[6,3,4,1,6,-1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1,4,1,6,-2]],[[1,1,2,1],[
1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,-2,4,1,
6,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,
-1,5,2],[6,1,4,-1,6,2,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,
2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1],[6,1,7,-2]]],[[[1,1,2,1],[1,1,2,-1,3,1,
1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,2,4,1,6,2]],[[1,1,2,1],[
1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,-1,4,
-1,6,1,4,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,
1,1,2,-1,5,2],[6,-1,4,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1]]],[[[
1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,1,7,-2,4,1,7,1,
4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,3,2,-2,3,1],[5,-2]],[[1,1,2,1],[2,-1,3,2],[
1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[7,1,4,1,7,1,4,-1,7,-1]]],[[[1,1,2,1],[
2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,1,7,1],[8,2,7,1]],[[1,1,2,
1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[7,1,4,-1]],[[1,1,2,1],[
2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,-1,7,-1,4,1,7,1]]],[[[1,1,
2,1],[2,1,1,1],[3,1,4,-2,3,-1,2,-2],[1,1,2,1],[2,1,1,1],[7,1,6,-1,7,1,2,1,7,
-1,6,1],[5,1,8,1,5,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,-1,2,-2],[1,1,2,1],[2,
1,1,1],[7,1,6,-1,7,1,2,1,7,-1,6,1],[8,1,5,-1,8,1]],[[1,1,2,1],[2,1,1,1],[3,1,
4,-2,3,-1,2,-2],[1,1,2,1],[2,1,1,1],[7,1,6,-1,7,1,2,1,7,-1,6,1],[8,1,5,1,8,
1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[4,-1,6,1,4,1,6,3]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,-1,4,-1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,
1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,1,4,1,6,-2]]],[[[1,1,
2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-2,3,1],[1,1,2,1],[2,1,1,1],[6,1,7,-2,6,2,2,
1],[5,1,8,1,5,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-2,3,1],[1,1,2,1],[2,1,
1,1],[6,1,7,-2,6,2,2,1],[8,1,5,-1,8,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,
-2,3,1],[1,1,2,1],[2,1,1,1],[6,1,7,-2,6,2,2,1],[8,1,5,1,8,1]]],[[[1,1,2,1],[2,
1,1,1],[4,1,3,-1,4,1,2,-2,3,1],[1,1,2,1],[2,1,1,1],[6,1,7,-2,6,2,2,1],[8,1,5,
1,8,-2,5,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-2,3,1],[1,1,2,1],[2,1,1,
1],[6,1,7,-2,6,2,2,1],[8,1,5,-1,8,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,
-2,3,1],[1,1,2,1],[2,1,1,1],[6,1,7,-2,6,2,2,1],[8,1,5,-1,8,3]]],[[[1,1,2,1],[
1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,
1,6,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,
2,-1,5,2],[4,-1,6,-1,4,-1,6,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,3,3,-1,4,1],[1,
1,2,1],[2,1,1,1],[6,1,7,2,6,-1,2,-1],[8,2,5,1,8,2]],[[1,1,2,1],[2,1,1,1],[3,1,
4,3,3,-1,4,1],[1,1,2,1],[2,1,1,1],[6,1,7,2,6,-1,2,-1],[8,1,5,1,8,-1,5,
-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,-1,2,-2],[1,1,2,1],[2,1,1,1],[7,1,6,
-1,7,1,2,1,7,-1,6,1],[5,1,8,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,-1,2,-2],[1,
1,2,1],[2,1,1,1],[7,1,6,-1,7,1,2,1,7,-1,6,1],[8,1,5,1]]],[[[1,1,2,1],[2,1,1,
1],[3,1,4,-2,3,-1,2,-2],[1,1,2,1],[2,1,1,1],[7,1,6,-1,7,1,2,1,7,-1,6,1],[8,3,
5,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,-1,2,-2],[1,1,2,1],[2,1,1,1],[7,1,6,
-1,7,1,2,1,7,-1,6,1],[8,1,5,1,8,1,5,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,
3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,2,4,1,6,2]],[[1,1,2,1],[1,1,2,-1,
3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,1,4,1]]],[[[
1,1,2,1],[2,1,1,1],[3,1,4,3,3,-1,4,1],[1,1,2,1],[2,1,1,1],[6,1,7,2,6,-1,2,
-1],[5,1,8,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,3,3,-1,4,1],[1,1,2,1],[2,1,1,1],[6,
1,7,2,6,-1,2,-1],[8,1,5,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,3,3,-1,4,1],[5,
-2]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,
3,3,-1,4,1],[1,1,2,1],[2,1,1,1],[6,1,7,2,6,-1,2,-1],[5,1,8,-1],[9,2,8,-1]],[[
1,1,2,1],[2,1,1,1],[3,1,4,3,3,-1,4,1],[1,1,2,1],[2,1,1,1],[6,1,7,2,6,-1,2,
-1],[5,-1,8,-2,5,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-2,3,1],[1,1,2,
1],[2,1,1,1],[6,1,7,-2,6,2,2,1],[8,3,5,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,
1,2,-2,3,1],[1,1,2,1],[2,1,1,1],[6,1,7,-2,6,2,2,1],[8,1,5,1,8,1,5,-1]]],[[[1,
1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,-2,
4,1,6,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,
-1,5,2],[4,-1,6,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-2,3,1],[5,
-2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,2,2,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,
2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,2,4,1,6,-1,4,-1,6,-1]],[[1,
1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,
6,1,4,1,6,1,4,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,
1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,1,4,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,
3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1,4,1]]],[[[1,1,2,1],[2,1,1,
1],[3,1,4,-2,3,-1,2,-2],[1,1,2,1],[2,1,1,1],[7,1,6,-1,7,1,2,1,7,-1,6,1],[8,2,
5,1,8,2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,-1,2,-2],[1,1,2,1],[2,1,1,1],[7,1,
6,-1,7,1,2,1,7,-1,6,1],[8,1,5,1,8,-1,5,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-2,
3,-1,2,-2],[1,1,2,1],[2,1,1,1],[7,1,6,-1,7,1,2,1,7,-1,6,1],[8,1,5,1,8,1,5,
-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,-1,2,-2],[1,1,2,1],[2,1,1,1],[7,1,6,-1,
7,1,2,1,7,-1,6,1],[8,2,5,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,
1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,-1,7,1,6,-1,2,-2],[8,1,5,1,8,1,5,-1,8,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1],[1,1,2,1],[2,1,1,1],[2,
1,7,-1,6,-1,7,1,6,-1,2,-2],[5,-1,8,-1,5,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,
4,1,2,-2,3,1],[1,1,2,1],[2,1,1,1],[6,1,7,-2,6,2,2,1],[8,1,5,1,8,1,5,-1]],[[1,
1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-2,3,1],[1,1,2,1],[2,1,1,1],[6,1,7,-2,6,2,2,
1],[8,2,5,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,
1,1,2,-1,5,2],[6,1,4,1],[7,1,6,-1,4,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,
3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,1,4,1,6,1,4,-1]]],[[[1,1,2,
1],[2,1,1,1],[3,1,4,-2,3,-1,2,-2],[5,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,
2,1,4,-1,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,-1,2,-2],[1,1,2,1],[2,1,1,
1],[7,1,6,-1,7,1,2,1,7,-1,6,1],[5,1,8,-1],[9,2,8,-1]],[[1,1,2,1],[2,1,1,1],[3,
1,4,-2,3,-1,2,-2],[1,1,2,1],[2,1,1,1],[7,1,6,-1,7,1,2,1,7,-1,6,1],[5,-1,8,-2,
5,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,
-1,5,2],[6,1,4,1,6,1,4,-1,6,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[
1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,-1,4,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,
1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,-2,4,1,6,-1,4,
-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[6,1,4,1,6,-2,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[
5,1,2,1,1,1,2,-1,5,2],[6,2,4,-1,6,-1,4,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,1,4,-1,6,2,4,1]],[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,-1,
4,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,
-1,5,2],[6,1,4,-1,6,-1,4,-1,6,-1,4,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,
2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,1,4,-1,6,2,4,1]],[[1,1,2,1],[
1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,
1,4,-1,7,-1,6,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,
2,1,1,1,2,-1,5,2],[6,1,4,-1,6,-1,4,-1,6,-1,4,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,
1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,-1,4,-1,6,2,4,
-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[4,1,6,-1,4,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[
5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,1,4,-1,6,-2,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,
1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,1,7,1,4,1,7,
-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[6,1,4,-1,6,-3]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,
1,2,1,1,1,2,-1,5,2],[4,1,6,1],[7,2,6,1,7,1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,
1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,-1,4,1,6,1]],[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,2,
4,1,6,1,4,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,
1,1,1,2,-1,5,2],[6,1,4,-1,6,-3]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[
1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,1,4,-1,6,-2,4,1]]],[[[1,1,2,1],[2,
1,1,1],[4,1,3,-1,4,1,2,-2,3,1],[1,1,2,1],[2,1,1,1],[6,1,7,-2,6,2,2,1],[8,1,5,
-1,8,1,5,-1,8,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-2,3,1]],[[1,1,2,1],[
2,1,1,1],[4,1,3,-1,4,1,2,-2,3,1],[1,1,2,1],[2,1,1,1],[6,1,7,-2,6,2,2,1],[5,-1,
8,-1,5,1,8,2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,-1,2,-2],[1,1,2,1],[2,1,1,
1],[7,1,6,-1,7,1,2,1,7,-1,6,1],[8,1,5,-1,8,1,5,-1,8,-1]],[[1,1,2,1],[2,1,1,
1],[3,1,4,-2,3,-1,2,-2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,-1,2,-2],[1,1,2,1],[
2,1,1,1],[7,1,6,-1,7,1,2,1,7,-1,6,1],[5,-1,8,-1,5,1,8,2]]],[[[1,1,2,1],[2,1,1,
1],[3,1,4,3,3,-1,4,1],[1,1,2,1],[2,1,1,1],[6,1,7,2,6,-1,2,-1],[8,1,5,-1,8,1,5,
-1,8,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,3,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,
4,3,3,-1,4,1],[1,1,2,1],[2,1,1,1],[6,1,7,2,6,-1,2,-1],[5,-1,8,-1,5,1,8,
2]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[4,-1,6,-1,4,-1,6,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,-2,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,
-1,4,1,3,-1,4,1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,-1,7,1,6,-1,2,-2],[5,-1,8,-1,
5,-1,8,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1],[1,1,2,1],[2,1,1,
1],[2,1,7,-1,6,-1,7,1,6,-1,2,-2],[5,1,8,-2,5,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,
1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,-1,4,1,6,1]],[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,
-1,4,-1,6,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1],[1,1,2,1],[
2,1,1,1],[2,1,7,-1,6,-1,7,1,6,-1,2,-2],[5,-1,8,-1,5,-1,8,-1]],[[1,1,2,1],[2,1,
1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,-1,7,1,6,-1,
2,-2],[8,3,5,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1],[1,1,2,
1],[2,1,1,1],[2,1,7,-1,6,-1,7,1,6,-1,2,-2],[5,1,8,-1,5,1,8,1]],[[1,1,2,1],[2,
1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,-1,7,1,6,
-1,2,-2],[5,-1,8,-1,5,-1,8,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[
1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,-1,4,-1,6,-1]],[[1,1,2,1],[1,1,2,-1,3,
1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,3,4,-1]]],[[[1,1,2,
1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,-1,7,
1,6,-1,2,-2],[8,1,5,1,8,1,5,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,
1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,-1,7,1,6,-1,2,-2],[8,-2,5,-1]]],[[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,
6,1,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,
-1,5,2],[6,-2,4,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1],[1,1,
2,1],[2,1,1,1],[2,1,7,-1,6,-1,7,1,6,-1,2,-2],[5,-1,8,1,5,1,8,-1,5,1,8,1]],[[1,
1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,
-1,7,1,6,-1,2,-2],[5,1,8,1,5,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,2,4,1,6,2]],[[1,1,2,1],[1,1,2,-1,3,
1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,-1]]],[[[1,1,2,
1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,-1,7,
1,6,-1,2,-2],[5,1,8,3]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1],[1,1,
2,1],[2,1,1,1],[2,1,7,-1,6,-1,7,1,6,-1,2,-2],[5,-1,8,2,5,1]]],[[[1,1,2,1],[1,
1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,3]],[[1,
1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,
6,2,4,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,
2,-1,5,2],[4,-1,6,1,4,1,6,-1,4,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,
2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[
2,1,4,1,3,-1,4,1,3,-1,4,1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,-1,7,1,6,-1,2,-2],[
5,1,8,2,5,1,8,2]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1],[1,1,2,1],[
2,1,1,1],[2,1,7,-1,6,-1,7,1,6,-1,2,-2],[5,-1,8,-1]]],[[[1,1,2,1],[2,1,1,1],[1,
1,2,-1,3,-2,4,1,2,1,4,-1,3,1],[2,1,1,1],[1,1,2,-1],[2,1,6,1],[7,1,6,-1,1,1,2,
1,8,-1,7,1,6,-1,8,-1],[5,-1,9,1,5,1,9,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,
-2,4,1,2,1,4,-1,3,1],[5,-2]],[[2,1,1,1],[1,1,2,-1],[2,1,3,1],[4,1,3,-1,1,1,2,
1,5,-1,4,1,3,-1,5,-1],[6,-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,4,-1,
3,1,5,2,4,-1,3,-2],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,8,-1,7,-1,8,1,9,-1,2,1,
8,1,7,-1,8,1,9,-1],[6,-1,10,1,6,1,10,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,
1,2,1,4,-1,3,1,5,2,4,-1,3,-2],[6,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,
-1,3,-1,4,1,5,-1,2,1,4,1,3,-1,4,1,5,-1],[6,-2]]],[[[1,1,2,1],[2,-1,3,2],[1,1,
2,1],[2,1,1,1],[5,1,6,3,2,-2,5,1],[4,-1,7,1,4,1,7,-1]],[[1,1,2,1],[2,-1,3,2],[
4,-2]],[[1,1,2,1],[2,1,1,1],[3,1,4,3,2,-2,3,1],[5,-2]]],[[[1,1,2,1],[1,1,2,-1,
3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,3,4,1,6,1]],[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,1,
4,-1,6,-1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,
1,1,1,2,-1,5,2],[6,1,4,-1,6,2,4,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,
2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,-1,4,-1,6,2]],[[1,1,2,1],[1,1,2,
-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,1,4,1,6,
-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[4,1,6,1],[7,1,4,1,7,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,
1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,1,4,1,6,-2]],[[1,1,2,1],[1,1,2,-1,3,1,1,
1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,4]],[[1,1,2,1],[1,1,2,
-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,-1]]],[[[1,1,
2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,-1,
7,1,6,-1,2,-2],[8,1,5,-1,8,-3]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,
1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,-1,7,1,6,-1,2,-2],[5,-1,8,-1,5,-1]],[[1,1,
2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,-1,
7,1,6,-1,2,-2],[8,1,5,1,8,-1,5,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,
-1,4,1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,-1,7,1,6,-1,2,-2],[5,-1,8,-2,5,1,8,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1],[1,1,2,1],[2,1,1,1],[2,
1,7,-1,6,-1,7,1,6,-1,2,-2],[5,1,8,-2,5,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,
4,1,3,-1,4,1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,-1,7,1,6,-1,2,-2],[8,-1,5,1,8,
1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[4,-1,6,-2,4,1,6,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,-2,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,
2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,-1,4,1,6,1]]],[[[1,1,2,1],[2,1,1,
1],[2,1,4,1,3,-1,4,1,3,-1,4,1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,-1,7,1,6,-1,2,
-2],[5,-1,8,-2,5,1,8,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1],[1,
1,2,1],[2,1,1,1],[2,1,7,-1,6,-1,7,1,6,-1,2,-2],[8,1,5,-1,8,-1,5,-1]],[[1,1,2,
1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,-1,7,
1,6,-1,2,-2],[8,-1,5,1,8,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,
1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,-2,4,1,6,-1]],[[1,1,2,1],[1,1,2,-1,3,1,
1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,-1,4,-1]],[[1,
1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,-1,
4,1,6,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1],[1,1,2,1],[2,1,1,
1],[2,1,7,-1,6,-1,7,1,6,-1,2,-2],[5,1,8,4]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,
-1,4,1,3,-1,4,1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,-1,7,1,6,-1,2,-2],[8,1,5,1,8,
-1,5,-1,8,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1],[1,1,2,1],[2,1,
1,1],[2,1,7,-1,6,-1,7,1,6,-1,2,-2],[8,-2,5,1,8,2]]],[[[1,1,2,1],[1,1,2,-1,3,1,
1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,-1,4,-1,6,
1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[4,1,6,-1,4,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[
5,1,2,1,1,1,2,-1,5,2],[4,1,6,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,
3,-1,4,1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,-1,7,1,6,-1,2,-2],[8,1,5,-1,8,-1,5,
-1,8,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1],[1,1,2,1],[2,1,1,
1],[2,1,7,-1,6,-1,7,1,6,-1,2,-2],[5,1,8,-1,5,1,8,1]],[[1,1,2,1],[2,1,1,1],[2,
1,4,1,3,-1,4,1,3,-1,4,1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,-1,7,1,6,-1,2,-2],[5,
1,8,1,5,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,
1,2,-1,5,2],[4,1,6,4]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[
5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,-1,4,-1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,-2,4,1,6,2]]],[[[1,1,2,1],[1,
1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,
-3]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[4,-1,6,-1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,
1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,
4,1,3,-1,4,1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,-1,7,1,6,-1,2,-2],[5,-1,8,1,5,1,
8,-2]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1],[1,1,2,1],[2,1,1,1],[
2,1,7,-1,6,-1,7,1,6,-1,2,-2],[5,1,8,4]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,
1,3,-1,4,1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,-1,7,1,6,-1,2,-2],[5,1,8,-1]]],[[[
1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,
3,4,1,6,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1]]],[[[1,1,2,1],[1,1,2,
-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1],[6,2,7,
2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,
1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1,6,3]],[[1,1,2,1],[1,
1,2,-1,3,1,1,1,2,-1,3,2,2,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,
1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,-1,7,1,6,-1,2,-2],[8,1,5,1],[9,1,8,-1,5,1,
9,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1],[1,1,2,1],[2,1,1,1],[2,
1,7,-1,6,-1,7,1,6,-1,2,-2],[8,1,5,-1,8,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,
-1,2,-2],[1,1,2,1],[2,1,1,1],[7,1,6,-1,7,1,2,1,7,-1,6,1],[5,-2,8,-1]],[[1,1,2,
1],[2,1,1,1],[3,1,4,-2,3,-1,2,-2],[1,1,2,1],[2,1,1,1],[7,1,6,-1,7,1,2,1,7,-1,
6,1],[8,2,5,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,
1,1,1,2,-1,5,2],[6,1,4,1],[7,1,6,-1,4,1,7,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,1]]],[[[1,1,2,1],[2,
1,1,1],[4,1,3,-1,4,1,2,-2,3,1],[1,1,2,1],[2,1,1,1],[6,1,7,-2,6,2,2,1],[5,-2,8,
-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-2,3,1],[1,1,2,1],[2,1,1,1],[6,1,7,
-2,6,2,2,1],[8,2,5,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,1,4,1,6,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,-1]]],[[[1,1,2,1],[2,1,1,
1],[2,1,4,1,3,-1,4,1,3,-1,4,1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,-1,7,1,6,-1,2,
-2],[5,-1,8,1,5,1,8,2]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1],[1,1,
2,1],[2,1,1,1],[2,1,7,-1,6,-1,7,1,6,-1,2,-2],[5,-1,8,-1]]],[[[1,1,2,1],[1,1,2,
-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,-1,6,1,4,1,6,
1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[6,1,4,1,6,-1,4,-1,6,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,
2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,-1,4,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,
2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,1,4,-1,6,2,4,1]],[[1,1,
2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,
-1,4,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,
1,2,-1,5,2],[6,1,4,-1,6,-1,4,-1,6,-1,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,
3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,2,4,-1,6,-1]]],[[[1,1,2,1],[
2,1,1,1],[3,2,2,1,4,1,2,1,1,1,4,1,3,-1,2,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[2,1,4,-1,3,-1,4,1,5,-1,2,-2,3,1,4,-1,5,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,
1,3,-1,4,1,3,-1,4,1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,-1,7,1,6,-1,2,-2],[5,1,8,
3]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1],[1,1,2,1],[2,1,1,1],[2,1,
7,-1,6,-1,7,1,6,-1,2,-2],[8,-1,5,-1,8,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,3]],[[1,1,2,1],[1,1,2,-1,
3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,-1,4,-1,6,-1]]],[[[
1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,
6,-1,7,1,6,-1,2,-2],[5,1,8,-2,5,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,
-1,4,1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,-1,7,1,6,-1,2,-2],[5,-1,8,-1]]],[[[1,
1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,
6,1,4,-1,6,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,
1,1,2,-1,5,2],[4,1,6,-1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,
4,1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,-1,7,1,6,-1,2,-2],[5,-1,8,1,5,-1,8,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1],[1,1,2,1],[2,1,1,1],[2,
1,7,-1,6,-1,7,1,6,-1,2,-2],[5,1,8,-1,5,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,-2,4,1]],[[1,1,2,1],[1,1,
2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,-1]]],[[[
1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,
6,-1,7,1,6,-1,2,-2],[8,-2,5,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,
4,1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,-1,7,1,6,-1,2,-2],[5,-1,8,-1]]],[[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,1,
4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,2],[6,-1,4,-1,6,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1],[1,
1,2,1],[2,1,1,1],[2,1,7,-1,6,-1,7,1,6,-1,2,-2],[5,1,8,-1,5,1,8,1]],[[1,1,2,
1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,-1,7,
1,6,-1,2,-2],[8,-3,5,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,-1,4,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,-3,4,-1]]],[[[1,1,2,1],[1,1,2,
-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[6,-2,4,-1]],[[1,1,
2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,-1,6,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1],[1,1,2,1],[2,1,1,1],[
2,1,7,-1,6,-1,7,1,6,-1,2,-2],[5,1,8,1,5,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,
-1,4,1,3,-1,4,1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,-1,7,1,6,-1,2,-2],[8,-1,5,-1,
8,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,
-1,5,2],[4,-1,6,1,4,1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,2],[6,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,
3,-1,4,1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,-1,7,1,6,-1,2,-2],[5,-1,8,1,5,1,8,
1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1],[1,1,2,1],[2,1,1,1],[2,1,
7,-1,6,-1,7,1,6,-1,2,-2],[8,1,5,1]]],[[[2,1,1,1],[1,1,2,-1],[2,1,3,1],[4,1,3,
-1,1,1,2,1,5,-1,4,1,3,-1,5,-1],[6,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,-2,4,
1,2,1,4,-1,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,4,-1,3,1,5,2,4,-1,
3,-2],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,8,-1,7,-1,8,1,9,-1,2,1,8,1,7,-1,8,1,
9,-1],[10,1,6,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,4,-1,3,1,5,2,4,-1,
3,-2],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,8,-1,7,-1,8,1,9,-1,2,1,8,1,7,-1,8,1,
9,-1],[6,1,10,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,3,2,-2,3,1],[5,-2]],[[1,1,2,
1],[2,-1,3,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,4,-1,3,1,5,2,4,-1,3,
-2],[6,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,-1,3,-1,4,1,5,-1,2,1,4,1,3,
-1,4,1,5,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,-1,3,-1,4,1,5,-1,2,1,4,
1,3,-1,4,1,5,-1],[6,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,4,-1,3,1,5,
2,4,-1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,-2,4,1,2,1,4,-1,3,1],[2,1,1,
1],[1,1,2,-1],[2,1,6,1],[7,1,6,-1,1,1,2,1,8,-1,7,1,6,-1,8,-1],[9,1,5,1]],[[1,
1,2,1],[2,1,1,1],[1,1,2,-1,3,-2,4,1,2,1,4,-1,3,1],[2,1,1,1],[1,1,2,-1],[2,1,6,
1],[7,1,6,-1,1,1,2,1,8,-1,7,1,6,-1,8,-1],[5,1,9,1]]],[[[1,1,2,1],[2,-1,3,2],[
4,-2]],[[1,1,2,1],[2,1,1,1],[3,1,4,3,2,-2,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,
-1,3,-2,4,1,2,1,4,-1,3,1],[5,-2]],[[2,1,1,1],[1,1,2,-1],[2,1,3,1],[4,1,3,-1,1,
1,2,1,5,-1,4,1,3,-1,5,-1]]],[[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,
3,2,-2,5,1],[7,1,4,1]],[[1,1,2,1],[2,-1,3,2],[1,1,2,1],[2,1,1,1],[5,1,6,3,2,
-2,5,1],[4,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,-1,2,-2],[1,1,2,1],[2,1,
1,1],[7,1,6,-1,7,1,2,1,7,-1,6,1],[8,1,5,-1,8,-1,5,1]],[[1,1,2,1],[2,1,1,1],[3,
1,4,-2,3,-1,2,-2],[5,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-2,3,1],[1,1,
2,1],[2,1,1,1],[6,1,7,-2,6,2,2,1],[8,1,5,-1,8,-1,5,1]],[[1,1,2,1],[2,1,1,1],[
4,1,3,-1,4,1,2,-2,3,1],[5,-2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,3,3,-1,4,1],[1,1,
2,1],[2,1,1,1],[6,1,7,2,6,-1,2,-1],[8,1,5,-1,8,-1,5,1]],[[1,1,2,1],[2,1,1,1],[
3,1,4,3,3,-1,4,1],[5,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1],[
1,1,2,1],[2,1,1,1],[2,1,7,-1,6,-1,7,1,6,-1,2,-2],[5,1,8,-2,5,-1,8,1]],[[1,1,2,
1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,-1,7,
1,6,-1,2,-2],[8,3,5,1,8,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,
1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,-1,7,1,6,-1,2,-2],[8,2,5,1]]],[[[1,1,2,1],[
1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,-2,4,
-1,6,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,
-1,5,2],[6,3,4,1,6,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[
5,1,2,1,1,1,2,-1,5,2],[6,2,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,
-1,4,1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,-1,7,1,6,-1,2,-2],[5,1,8,-2,5,1]],[[1,
1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,
-1,7,1,6,-1,2,-2],[8,1,5,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,
1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,-1,7,1,6,-1,2,-2],[5,1,8,2]]],[[[1,1,2,1],[
1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,2],[4,1,6,-2,4,
1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
2],[6,1,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,2,1,1,
1,2,-1,5,2],[4,1,6,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,4,-1,3,1,5,
2,4,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,-1,3,-1,4,1,5,-1,2,1,4,1,
3,-1,4,1,5,-1]]],[[[1,1,2,1],[2,-1,3,2]],[[1,1,2,1],[2,1,1,1],[3,1,4,3,2,-2,3,
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1],[2,1,1,1],[3,1,4,3,3,-1,4,1],[1,1,2,1],[2,1,1,1],[6,1,7,2,6,-1,2,-1],[8,1,
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1],[4,1,3,-1,4,1,2,-2,3,1],[1,1,2,1],[2,1,1,1],[6,1,7,-2,6,2,2,1],[8,1,5,
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1,1,1],[3,1,4,-2,3,-1,2,-2],[1,1,2,1],[2,1,1,1],[7,1,6,-1,7,1,2,1,7,-1,6,1],[
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1],[2,1,1,1],[3,1,4,-2,3,-1,2,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-2,
3,1],[1,1,2,1],[2,1,1,1],[6,1,7,-2,6,2,2,1],[5,1,8,-1,5,-1]],[[1,1,2,1],[2,1,
1,1],[3,1,4,-2,3,2,2,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,-1,2,-2],[1,1,2,
1],[2,1,1,1],[7,1,6,-1,7,1,2,1,7,-1,6,1],[5,1,8,-1,5,-1]],[[1,1,2,1],[2,1,1,
1],[4,1,3,-1,4,1,2,1,4,-1,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,3,3,-1,4,1],[1,
1,2,1],[2,1,1,1],[6,1,7,2,6,-1,2,-1],[5,1,8,-1,5,-1]],[[1,1,2,1],[2,1,1,1],[3,
1,4,2,3,-1,2,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1],[1,1,2,1],[5,1,
2,1,1,1,2,-1,5,2],[6,2,4,-1,6,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
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LIBTOM( "2^2.L3(4).3",
[[1],[1,2],[1,3],[1,4],[1,5],[1,6],[1,7],[1,2,8],[1,3,9],[1,2,4,10],[1,4,11],[
1,4,12],[1,4,13],[1,4,14],[1,4,15],[1,4,16],[1,4,17],[1,4,18],[1,2,3,4,19],[1,
3,4,20],[1,3,4,21],[1,3,4,22],[1,3,4,23],[1,3,4,24],[1,4,25],[1,4,26],[1,27],[
1,2,5,28],[1,3,6,29],[1,3,5,30],[1,4,5,31],[1,32],[1,2,3,4,9,19,20,33],[1,3,4,
12,24,34],[1,3,4,11,23,35],[1,2,3,4,8,10,19,36],[1,2,4,10,15,18,37],[1,2,4,10,
16,17,38],[1,2,4,10,14,17,39],[1,2,4,10,13,18,40],[1,2,3,4,17,19,24,41],[1,2,
3,4,18,19,23,42],[1,4,11,13,15,18,43],[1,4,12,14,16,17,44],[1,2,3,4,10,11,12,
19,20,45],[1,2,3,4,10,13,15,19,21,46],[1,2,3,4,10,14,16,19,22,47],[1,3,4,9,22,
24,48],[1,3,4,9,21,23,49],[1,3,4,11,13,21,50],[1,3,4,11,15,21,51],[1,3,4,12,
14,22,52],[1,3,4,12,16,22,53],[1,4,12,13,15,54],[1,4,11,14,16,55],[1,3,4,11,
17,22,24,56],[1,3,4,12,18,21,23,57],[1,3,4,13,15,18,20,21,58],[1,3,4,14,16,17,
20,22,59],[1,3,4,14,16,17,20,22,60],[1,3,4,13,15,18,20,21,61],[1,2,3,4,10,16,
19,22,24,62],[1,2,3,4,10,15,19,21,23,63],[1,2,3,4,10,14,19,22,24,64],[1,2,3,4,
10,13,19,21,23,65],[1,3,4,14,20,22,24,66],[1,3,4,15,20,21,23,67],[1,3,4,16,20,
22,24,68],[1,3,4,13,20,21,23,69],[1,3,4,14,16,20,22,24,70],[1,3,4,13,15,20,21,
23,71],[1,4,12,25,72],[1,4,11,25,73],[1,4,12,26,74],[1,4,11,26,75],[1,2,3,4,
19,26,76],[1,2,3,4,19,25,77],[1,2,4,10,25,26,78],[1,2,4,10,25,26,79],[1,3,4,
20,25,26,80],[1,3,4,20,25,26,81],[1,3,4,23,24,26,82],[1,4,16,18,25,83],[1,4,
15,17,25,84],[1,4,14,18,25,85],[1,4,13,17,25,86],[1,4,13,14,26,87],[1,4,13,16,
26,88],[1,4,14,15,26,89],[1,4,15,16,26,90],[1,3,4,16,23,25,91],[1,3,4,15,24,
25,92],[1,3,4,14,23,25,93],[1,3,4,13,24,25,94],[1,3,4,17,23,26,95],[1,3,4,18,
24,26,96],[1,4,17,18,26,97],[1,5,98],[1,5,6,99],[1,5,7,100],[1,3,27,101],[1,4,
27,102],[1,2,27,103],[1,2,6,8,104],[1,2,7,8,105],[1,3,6,9,106],[1,3,6,9,107],[
1,3,5,9,108],[1,4,5,17,109],[1,4,5,18,110],[1,4,6,11,111],[1,4,6,12,112],[1,2,
5,8,28,113],[1,3,6,9,29,114],[1,2,4,5,10,28,31,115],[1,2,3,4,5,19,28,30,31,
116],[1,2,32,117],[1,6,27,118],[1,2,3,4,8,9,10,11,12,19,20,33,36,45,119],[1,4,
11,14,16,55,120],[1,4,12,13,15,54,121],[1,3,4,9,11,17,22,24,48,56,122],[1,3,4,
9,12,18,21,23,49,57,123],[1,3,4,9,12,14,16,20,22,24,34,48,52,53,66,68,70,
124],[1,3,4,9,11,13,15,20,21,23,35,49,50,51,67,69,71,125],[1,2,3,4,8,10,13,15,
18,19,21,23,36,37,40,42,46,63,65,126],[1,2,3,4,8,10,14,16,17,19,22,24,36,38,
39,41,47,62,64,127],[1,2,3,4,10,11,12,13,15,18,19,20,21,23,35,42,43,45,57,63,
65,67,69,128],[1,2,3,4,10,11,12,14,16,17,19,20,22,24,34,41,44,45,56,62,64,66,
68,129],[1,2,3,4,10,11,12,13,15,18,19,20,21,37,40,43,45,46,54,58,61,130],[1,2,
3,4,10,11,12,14,16,17,19,20,22,38,39,44,45,47,55,59,60,131],[1,3,4,12,13,15,
18,20,21,23,54,57,58,61,67,69,71,132],[1,3,4,11,14,16,17,20,22,24,55,56,59,60,
66,68,70,133],[1,2,3,4,9,10,13,15,18,19,20,21,23,33,42,46,49,58,61,63,65,67,
69,71,134],[1,2,3,4,9,10,14,16,17,19,20,22,24,33,41,47,48,59,60,62,64,66,68,
70,135],[1,2,3,4,10,11,12,13,15,18,19,20,21,23,37,45,46,51,54,57,58,63,65,67,
71,136],[1,2,3,4,10,11,12,13,15,18,19,20,21,23,40,45,46,50,54,57,61,63,65,69,
71,137],[1,2,3,4,10,11,12,14,16,17,19,20,22,24,38,45,47,53,55,56,59,62,64,68,
70,138],[1,2,3,4,10,11,12,14,16,17,19,20,22,24,39,45,47,52,55,56,60,62,64,66,
70,139],[1,3,4,11,12,14,16,17,20,22,24,44,52,53,55,56,59,60,70,140],[1,3,4,11,
12,13,15,18,20,21,23,43,50,51,54,57,58,61,71,141],[1,2,3,4,10,11,12,19,20,25,
45,72,73,77,142],[1,2,3,4,10,11,12,19,20,26,45,74,75,76,143],[1,2,3,4,10,11,
12,19,20,25,26,45,73,75,78,80,144],[1,2,3,4,10,11,12,19,20,25,26,45,73,75,79,
81,145],[1,2,3,4,10,11,12,19,20,25,26,45,72,74,79,80,146],[1,2,3,4,10,11,12,
19,20,25,26,45,72,74,78,81,147],[1,2,3,4,9,19,20,25,26,33,76,77,80,81,148],[1,
2,3,4,8,10,19,25,26,36,76,77,78,79,149],[1,3,4,11,17,22,23,24,26,35,56,75,82,
95,150],[1,3,4,12,18,21,23,24,26,34,57,74,82,96,151],[1,3,4,11,13,15,17,18,22,
24,25,43,56,73,86,94,152],[1,3,4,11,13,15,17,18,22,24,25,43,56,73,84,92,153],[
1,3,4,12,14,16,17,18,21,23,25,44,57,72,83,91,154],[1,3,4,12,14,16,17,18,21,23,
25,44,57,72,85,93,155],[1,4,11,13,14,15,16,18,26,43,55,75,89,90,156],[1,4,11,
13,14,15,16,18,26,43,55,75,87,88,157],[1,4,12,13,14,15,16,17,26,44,54,74,87,
89,158],[1,4,12,13,14,15,16,17,26,44,54,74,88,90,159],[1,3,4,11,13,15,17,18,
22,24,26,43,56,75,96,97,160],[1,3,4,12,14,16,17,18,21,23,26,44,57,74,95,97,
161],[1,4,12,13,14,15,16,17,25,44,54,72,84,86,162],[1,4,11,13,14,15,16,18,25,
43,55,73,83,85,163],[1,3,4,12,13,15,24,25,34,54,72,92,94,164],[1,3,4,11,14,16,
23,25,35,55,73,91,93,165],[1,2,3,4,10,14,15,17,19,21,23,25,26,39,63,79,84,89,
93,95,166],[1,2,3,4,10,14,15,18,19,22,24,25,26,37,64,78,85,89,92,96,167],[1,2,
3,4,10,13,16,18,19,22,24,25,26,40,62,79,83,88,94,96,168],[1,2,3,4,10,13,16,17,
19,21,23,25,26,38,65,78,86,88,91,95,169],[1,3,4,14,15,20,21,22,23,24,25,26,66,
67,81,82,89,92,93,170],[1,3,4,13,16,20,21,22,23,24,25,26,68,69,80,82,88,91,94,
171],[1,2,3,4,10,15,16,19,21,22,23,24,25,26,62,63,79,82,90,91,92,172],[1,2,3,
4,10,13,14,19,21,22,23,24,25,26,64,65,78,82,87,93,94,173],[1,3,4,13,14,15,16,
17,18,20,21,22,25,26,58,60,81,83,86,88,97,174],[1,3,4,13,14,15,16,17,18,20,21,
22,25,26,59,61,80,84,85,89,97,175],[1,2,4,10,15,16,17,18,25,26,37,38,78,83,84,
90,97,176],[1,2,4,10,13,14,17,18,25,26,39,40,79,85,86,87,97,177],[1,2,3,4,17,
18,19,23,24,26,41,42,76,82,95,96,97,178],[1,2,3,4,10,13,14,15,16,19,21,22,26,
46,47,76,87,88,89,90,179],[1,3,4,13,14,16,17,20,21,22,23,25,26,59,69,80,86,87,
93,95,180],[1,3,4,13,15,16,18,20,21,22,24,25,26,61,68,80,83,90,92,96,181],[1,
3,4,13,14,15,18,20,21,22,24,25,26,58,66,81,85,87,94,96,182],[1,3,4,14,15,16,
17,20,21,22,23,25,26,60,67,81,84,90,91,95,183],[1,2,3,4,10,14,16,18,19,22,23,
25,42,47,77,83,85,91,93,184],[1,2,3,4,10,13,15,17,19,21,24,25,41,46,77,84,86,
92,94,185],[1,4,12,13,15,25,54,72,186],[1,4,11,14,16,25,55,73,187],[1,3,4,12,
18,21,23,25,26,57,72,74,188],[1,3,4,12,18,21,23,25,26,57,72,74,189],[1,3,4,11,
17,22,24,25,26,56,73,75,190],[1,3,4,11,17,22,24,25,26,56,73,75,191],[1,4,11,
14,16,25,26,55,73,75,192],[1,4,11,14,16,25,26,55,73,75,193],[1,4,12,13,15,25,
26,54,72,74,194],[1,4,12,13,15,25,26,54,72,74,195],[1,4,12,13,15,26,54,74,
196],[1,4,11,14,16,26,55,75,197],[1,3,4,11,17,22,24,25,56,73,198],[1,3,4,12,
18,21,23,25,57,72,199],[1,3,4,11,17,22,24,26,56,75,200],[1,3,4,12,18,21,23,26,
57,74,201],[1,3,5,30,98,202],[1,4,5,31,98,203],[1,2,5,28,98,204],[1,3,5,6,29,
30,99,205],[1,2,8,27,103,206],[1,2,3,4,19,27,101,102,103,207],[1,2,4,10,27,
102,103,208],[1,5,32,209],[1,7,32,210],[1,7,32,211],[1,7,32,212],[1,4,5,17,18,
26,31,97,109,213],[1,4,5,17,18,26,31,97,110,214],[1,4,5,14,18,25,31,85,110,
215],[1,4,5,15,17,25,31,84,109,216],[1,4,5,16,18,25,31,83,110,217],[1,4,5,13,
17,25,31,86,109,218],[1,3,4,5,18,24,26,30,96,110,219],[1,3,4,5,17,23,26,30,95,
109,220],[1,2,4,5,10,15,18,28,37,110,221],[1,2,4,5,10,16,17,28,38,109,222],[1,
2,4,5,10,14,17,28,39,109,223],[1,2,4,5,10,13,18,28,40,110,224],[1,2,3,4,5,17,
19,24,28,41,109,225],[1,2,3,4,5,18,19,23,28,42,110,226],[1,2,3,4,5,9,19,20,28,
33,108,227],[1,3,4,6,9,21,23,29,49,107,228],[1,3,4,6,9,22,24,29,48,106,229],[
1,3,4,6,11,15,21,29,51,111,230],[1,3,4,6,11,13,21,29,50,111,231],[1,3,4,6,12,
16,22,29,53,112,232],[1,3,4,6,12,14,22,29,52,112,233],[1,3,4,6,12,24,29,34,
112,234],[1,3,4,6,11,23,29,35,111,235],[1,2,3,4,6,8,10,19,29,36,104,236],[1,2,
3,4,5,8,10,19,28,30,31,36,113,115,116,237],[1,5,6,7,98,99,100,238],[1,2,8,32,
117,239],[1,3,6,27,29,101,118,240],[1,2,3,4,8,9,10,11,12,13,15,18,19,20,21,23,
33,35,36,37,40,42,43,45,46,49,50,51,54,57,58,61,63,65,67,69,71,119,126,128,
130,134,136,137,241],[1,2,3,4,8,9,10,11,12,14,16,17,19,20,22,24,33,34,36,38,
39,41,44,45,47,48,52,53,55,56,59,60,62,64,66,68,70,119,127,129,131,135,138,
139,242],[1,2,3,4,10,11,12,13,15,18,19,20,21,23,37,40,43,45,46,50,51,54,57,58,
61,63,65,67,69,71,121,130,132,136,137,141,243],[1,2,3,4,10,11,12,14,16,17,19,
20,22,24,38,39,44,45,47,52,53,55,56,59,60,62,64,66,68,70,120,131,133,138,139,
140,244],[1,2,3,4,9,10,11,12,13,15,18,19,20,21,23,33,35,37,40,42,43,45,46,49,
50,51,54,57,58,61,63,65,67,69,71,123,125,128,132,134,136,137,141,245],[1,2,3,
4,9,10,11,12,14,16,17,19,20,22,24,33,34,38,39,41,44,45,47,48,52,53,55,56,59,
60,62,64,66,68,70,122,124,129,133,135,138,139,140,246],[1,3,4,9,12,18,21,23,
24,26,34,49,57,74,82,96,123,151,201,247],[1,3,4,9,11,17,22,23,24,26,35,48,56,
75,82,95,122,150,200,248],[1,3,4,11,14,16,23,25,35,55,73,91,93,120,165,187,
249],[1,3,4,12,13,15,24,25,34,54,72,92,94,121,164,186,250],[1,3,4,9,12,14,16,
17,18,21,23,25,26,44,49,57,72,74,83,85,91,93,95,97,123,154,155,161,188,189,
199,251],[1,3,4,9,11,13,15,17,18,22,24,25,26,43,48,56,73,75,84,86,92,94,96,97,
122,152,153,160,190,191,198,252],[1,3,4,11,12,13,14,15,16,17,18,20,22,24,25,
26,43,44,52,53,55,56,59,60,70,73,75,83,84,85,87,88,92,140,153,157,163,187,190,
192,253],[1,3,4,11,12,13,14,15,16,17,18,20,22,24,25,26,43,44,52,53,55,56,59,
60,70,73,75,83,85,86,89,90,94,140,152,156,163,187,191,193,254],[1,3,4,11,12,
13,14,15,16,17,18,20,21,23,25,26,43,44,50,51,54,57,58,61,71,72,74,84,85,86,88,
90,93,141,155,159,162,186,188,195,255],[1,3,4,11,12,13,14,15,16,17,18,20,21,
23,25,26,43,44,50,51,54,57,58,61,71,72,74,83,84,86,87,89,91,141,154,158,162,
186,189,194,256],[1,3,4,11,12,13,14,15,16,17,18,20,22,24,26,43,44,52,53,55,56,
59,60,70,75,87,88,89,90,96,97,140,156,157,160,197,200,257],[1,3,4,11,12,13,14,
15,16,17,18,20,21,23,26,43,44,50,51,54,57,58,61,71,74,87,88,89,90,95,97,141,
158,159,161,196,201,258],[1,3,4,12,13,14,15,16,17,18,20,21,23,25,26,44,54,57,
58,61,67,69,71,72,74,83,87,89,91,95,97,132,154,158,161,188,195,201,259],[1,3,
4,12,13,14,15,16,17,18,20,21,23,25,26,44,54,57,58,61,67,69,71,72,74,85,88,90,
93,95,97,132,155,159,161,189,194,201,260],[1,3,4,11,13,14,15,16,17,18,20,22,
24,25,26,43,55,56,59,60,66,68,70,73,75,84,87,88,92,96,97,133,153,157,160,191,
193,200,261],[1,3,4,11,13,14,15,16,17,18,20,22,24,25,26,43,55,56,59,60,66,68,
70,73,75,86,89,90,94,96,97,133,152,156,160,190,192,200,262],[1,3,4,11,14,16,
17,20,22,23,24,25,26,35,55,56,59,60,66,68,70,73,75,82,91,93,95,133,150,165,
190,191,197,263],[1,3,4,12,13,15,18,20,21,23,24,25,26,34,54,57,58,61,67,69,71,
72,74,82,92,94,96,132,151,164,188,189,196,264],[1,3,4,11,12,14,16,17,20,22,23,
24,25,26,35,44,52,53,55,56,59,60,70,73,75,82,91,93,95,140,150,165,192,193,198,
265],[1,3,4,11,12,13,15,18,20,21,23,24,25,26,34,43,50,51,54,57,58,61,71,72,74,
82,92,94,96,141,151,164,194,195,199,266],[1,4,11,13,14,15,16,18,25,26,43,55,
73,75,83,85,87,88,89,90,120,156,157,163,192,193,197,267],[1,4,12,13,14,15,16,
17,25,26,44,54,72,74,84,86,87,88,89,90,121,158,159,162,194,195,196,268],[1,3,
4,12,13,14,15,16,17,18,20,21,23,25,44,54,57,58,61,67,69,71,72,83,84,85,86,91,
93,132,154,155,162,186,199,269],[1,3,4,11,13,14,15,16,17,18,20,22,24,25,43,55,
56,59,60,66,68,70,73,83,84,85,86,92,94,133,152,153,163,187,198,270],[1,2,3,4,
8,9,10,11,12,19,20,25,26,33,36,45,72,73,74,75,76,77,78,79,80,81,119,142,143,
144,145,146,147,148,149,271],[1,2,3,4,10,11,12,13,14,15,16,17,18,19,20,21,22,
23,25,35,38,39,42,43,44,45,47,55,57,59,60,63,65,67,69,72,73,77,83,85,91,93,
128,131,142,154,155,163,165,184,272],[1,2,3,4,10,11,12,13,14,15,16,17,18,19,
20,21,22,24,25,34,37,40,41,43,44,45,46,54,56,58,61,62,64,66,68,72,73,77,84,86,
92,94,129,130,142,152,153,162,164,185,273],[1,2,3,4,10,11,12,13,14,15,16,17,
18,19,20,21,22,26,37,38,39,40,43,44,45,46,47,54,55,58,59,60,61,74,75,76,87,88,
89,90,130,131,143,156,157,158,159,179,274],[1,2,3,4,10,11,12,13,14,15,16,17,
18,19,20,21,22,23,24,26,34,35,41,42,43,44,45,56,57,62,63,64,65,66,67,68,69,74,
75,76,82,95,96,97,128,129,143,150,151,160,161,178,275],[1,2,3,4,10,11,12,13,
14,15,16,17,18,19,20,21,22,23,25,26,38,39,40,44,45,46,47,50,54,55,57,59,60,61,
63,65,69,71,72,74,79,80,84,85,86,87,89,93,95,97,131,137,146,155,158,161,162,
166,175,177,180,276],[1,2,3,4,10,11,12,13,14,15,16,17,18,19,20,21,22,23,25,26,
37,38,39,44,45,46,47,51,54,55,57,58,59,60,63,65,67,71,72,74,78,81,83,84,86,88,
90,91,95,97,131,136,147,154,159,161,162,169,174,176,183,277],[1,2,3,4,10,11,
12,13,14,15,16,17,18,19,20,21,22,24,25,26,37,38,40,43,45,46,47,53,54,55,56,58,
59,61,62,64,68,70,73,75,78,80,83,84,85,89,90,92,96,97,130,138,144,153,156,160,
163,167,175,176,181,278],[1,2,3,4,10,11,12,13,14,15,16,17,18,19,20,21,22,24,
25,26,37,39,40,43,45,46,47,52,54,55,56,58,60,61,62,64,66,70,73,75,79,81,83,85,
86,87,88,94,96,97,130,139,145,152,157,160,163,168,174,177,182,279],[1,2,3,4,
10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,35,38,42,43,45,47,53,55,56,
57,59,62,63,64,65,67,68,69,70,73,75,78,80,82,86,87,88,91,93,94,95,128,138,144,
150,152,157,165,169,171,173,180,280],[1,2,3,4,10,11,12,13,14,15,16,17,18,19,
20,21,22,23,24,25,26,35,39,42,43,45,47,52,55,56,57,60,62,63,64,65,66,67,69,70,
73,75,79,81,82,84,89,90,91,92,93,95,128,139,145,150,153,156,165,166,170,172,
183,281],[1,2,3,4,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,34,37,41,
44,45,46,51,54,56,57,58,62,63,64,65,66,67,68,71,72,74,78,81,82,85,87,89,92,93,
94,96,129,136,147,151,155,158,164,167,170,173,182,282],[1,2,3,4,10,11,12,13,
14,15,16,17,18,19,20,21,22,23,24,25,26,34,40,41,44,45,46,50,54,56,57,61,62,63,
64,65,66,68,69,71,72,74,79,80,82,83,88,90,91,92,94,96,129,137,146,151,154,159,
164,168,171,172,181,283],[1,2,3,4,8,10,13,14,15,16,17,18,19,21,22,23,24,25,26,
36,37,38,39,40,41,42,46,47,62,63,64,65,76,77,78,79,82,83,84,85,86,87,88,89,90,
91,92,93,94,95,96,97,126,127,149,166,167,168,169,172,173,176,177,178,179,184,
185,284],[1,2,3,4,9,10,13,14,15,16,17,18,19,20,21,22,23,24,25,26,33,41,42,46,
47,48,49,58,59,60,61,62,63,64,65,66,67,68,69,70,71,76,77,80,81,82,83,84,85,86,
87,88,89,90,91,92,93,94,95,96,97,134,135,148,170,171,174,175,178,179,180,181,
182,183,184,185,285],[1,2,3,4,9,19,20,25,26,33,76,77,80,81,148,286],[1,2,3,4,
8,10,19,25,26,36,76,77,78,79,149,287],[1,2,3,4,10,11,12,13,15,18,19,20,21,23,
25,26,40,45,46,50,54,57,61,63,65,69,71,72,73,74,77,78,81,137,142,147,186,189,
195,199,288],[1,2,3,4,10,11,12,13,15,18,19,20,21,23,25,26,37,45,46,51,54,57,
58,63,65,67,71,72,73,74,77,79,80,136,142,146,186,188,194,199,289],[1,2,3,4,10,
11,12,14,16,17,19,20,22,24,25,26,39,45,47,52,55,56,60,62,64,66,70,72,73,75,77,
78,80,139,142,144,187,190,193,198,290],[1,2,3,4,10,11,12,14,16,17,19,20,22,24,
25,26,38,45,47,53,55,56,59,62,64,68,70,72,73,75,77,79,81,138,142,145,187,191,
192,198,291],[1,2,3,4,10,11,12,13,15,18,19,20,21,23,25,26,40,45,46,50,54,57,
61,63,65,69,71,72,74,75,76,78,81,137,143,147,188,194,196,201,292],[1,2,3,4,10,
11,12,13,15,18,19,20,21,23,25,26,37,45,46,51,54,57,58,63,65,67,71,72,74,75,76,
79,80,136,143,146,189,195,196,201,293],[1,2,3,4,10,11,12,14,16,17,19,20,22,24,
25,26,39,45,47,52,55,56,60,62,64,66,70,73,74,75,76,78,80,139,143,144,191,192,
197,200,294],[1,2,3,4,10,11,12,14,16,17,19,20,22,24,25,26,38,45,47,53,55,56,
59,62,64,68,70,73,74,75,76,79,81,138,143,145,190,193,197,200,295],[1,2,3,4,10,
11,12,13,15,18,19,20,21,23,25,26,35,42,43,45,57,63,65,67,69,72,74,78,79,80,81,
128,146,147,188,189,199,201,296],[1,2,3,4,10,11,12,14,16,17,19,20,22,24,25,26,
34,41,44,45,56,62,64,66,68,73,75,78,79,80,81,129,144,145,190,191,198,200,
297],[1,2,3,4,10,11,12,13,15,18,19,20,21,25,26,37,40,43,45,46,54,58,61,72,74,
78,79,80,81,130,146,147,186,194,195,196,298],[1,2,3,4,10,11,12,14,16,17,19,20,
22,25,26,38,39,44,45,47,55,59,60,73,75,78,79,80,81,131,144,145,187,192,193,
197,299],[1,2,5,8,28,98,113,204,300],[1,2,4,5,10,28,31,98,115,203,204,301],[1,
2,3,4,5,19,28,30,31,98,116,202,203,204,302],[1,2,5,6,8,28,99,104,113,303],[1,
2,5,7,8,28,100,105,113,304],[1,3,5,6,9,29,99,106,107,108,114,305],[1,4,5,25,
31,98,203,306],[1,4,5,26,31,98,203,307],[1,2,3,4,8,10,19,27,36,101,102,103,
206,207,208,308],[1,2,5,28,32,117,209,309],[1,3,4,5,9,12,18,21,23,49,57,108,
110,123,310],[1,3,4,5,9,11,17,22,24,48,56,108,109,122,311],[1,2,3,4,6,8,9,10,
11,12,19,20,33,36,45,104,107,111,119,312],[1,2,3,4,6,8,9,10,11,12,19,20,33,36,
45,104,106,112,119,313],[1,4,6,12,13,15,54,112,121,314],[1,4,6,11,14,16,55,
111,120,315],[1,3,4,6,9,11,17,22,24,48,56,107,111,122,316],[1,3,4,6,9,12,18,
21,23,49,57,106,112,123,317],[1,2,3,4,5,8,9,10,11,12,19,20,28,33,36,45,108,
113,119,227,318],[1,3,4,6,9,12,18,21,23,29,49,57,107,114,123,228,319],[1,3,4,
6,9,11,17,22,24,29,48,56,106,114,122,229,320],[1,3,4,6,9,11,13,15,20,21,23,29,
35,49,50,51,67,69,71,111,114,125,230,231,235,321],[1,3,4,6,9,12,14,16,20,22,
24,29,34,48,52,53,66,68,70,112,114,124,232,233,234,322],[1,2,3,4,6,8,9,10,11,
12,19,20,29,33,36,45,104,114,119,236,323],[1,2,3,4,5,8,10,14,16,17,19,22,24,
28,36,38,39,41,47,62,64,109,113,127,222,223,225,324],[1,2,3,4,5,8,10,13,15,18,
19,21,23,28,36,37,40,42,46,63,65,110,113,126,221,224,226,325],[1,2,3,4,5,17,
18,19,23,24,26,28,30,31,41,42,76,82,95,96,97,109,116,178,213,220,225,326],[1,
2,3,4,5,17,18,19,23,24,26,28,30,31,41,42,76,82,95,96,97,110,116,178,214,219,
226,327],[1,2,3,4,5,10,14,15,17,19,21,23,25,26,28,30,31,39,63,79,84,89,93,95,
109,116,166,216,220,223,328],[1,2,3,4,5,10,14,15,18,19,22,24,25,26,28,30,31,
37,64,78,85,89,92,96,110,116,167,215,219,221,329],[1,2,3,4,5,10,13,16,17,19,
21,23,25,26,28,30,31,38,65,78,86,88,91,95,109,116,169,218,220,222,330],[1,2,3,
4,5,10,13,16,18,19,22,24,25,26,28,30,31,40,62,79,83,88,94,96,110,116,168,217,
219,224,331],[1,2,4,5,10,13,14,17,18,25,26,28,31,39,40,79,85,86,87,97,109,115,
177,213,218,223,332],[1,2,4,5,10,13,14,17,18,25,26,28,31,39,40,79,85,86,87,97,
110,115,177,214,215,224,333],[1,2,4,5,10,15,16,17,18,25,26,28,31,37,38,78,83,
84,90,97,109,115,176,213,216,222,334],[1,2,4,5,10,15,16,17,18,25,26,28,31,37,
38,78,83,84,90,97,110,115,176,214,217,221,335],[1,2,3,4,5,10,13,15,17,19,21,
24,25,28,31,41,46,77,84,86,92,94,109,115,185,216,218,225,336],[1,2,3,4,5,10,
14,16,18,19,22,23,25,28,31,42,47,77,83,85,91,93,110,115,184,215,217,226,337],[
1,3,5,6,7,29,30,98,99,100,202,205,238,338],[1,3,5,9,27,30,101,108,339],[1,4,5,
18,27,31,102,110,340],[1,4,5,17,27,31,102,109,341],[1,2,6,8,27,103,104,118,
206,342],[1,5,7,32,100,209,210,211,212,343],[1,2,3,4,8,9,10,11,12,13,15,18,19,
20,21,23,33,35,36,37,40,42,43,45,46,49,50,51,54,57,58,61,63,65,67,69,71,119,
121,123,125,126,128,130,132,134,136,137,141,241,243,245,344],[1,2,3,4,8,9,10,
11,12,14,16,17,19,20,22,24,33,34,36,38,39,41,44,45,47,48,52,53,55,56,59,60,62,
64,66,68,70,119,120,122,124,127,129,131,133,135,138,139,140,242,244,246,345],[
1,2,3,4,8,9,10,11,12,19,20,25,26,33,36,45,72,73,74,75,76,77,78,79,80,81,119,
142,143,144,145,146,147,148,149,271,286,346],[1,2,3,4,8,9,10,11,12,19,20,25,
26,33,36,45,72,73,74,75,76,77,78,79,80,81,119,142,143,144,145,146,147,148,149,
271,287,347],[1,2,3,4,8,9,10,11,12,14,16,17,19,20,22,24,25,26,33,34,36,38,39,
41,44,45,47,48,52,53,55,56,59,60,62,64,66,68,70,72,73,74,75,76,77,78,79,80,81,
119,127,129,131,135,138,139,142,143,144,145,146,147,148,149,187,190,191,192,
193,197,198,200,242,271,290,291,294,295,297,299,348],[1,2,3,4,8,9,10,11,12,13,
15,18,19,20,21,23,25,26,33,35,36,37,40,42,43,45,46,49,50,51,54,57,58,61,63,65,
67,69,71,72,73,74,75,76,77,78,79,80,81,119,126,128,130,134,136,137,142,143,
144,145,146,147,148,149,186,188,189,194,195,196,199,201,241,271,288,289,292,
293,296,298,349],[1,2,3,4,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,
26,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,
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,
84,85,86,87,88,89,90,91,92,93,94,95,96,97,119,126,127,128,129,130,131,134,135,
136,137,138,139,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,
157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,
176,177,178,179,180,181,182,183,184,185,241,242,271,272,273,274,275,276,277,
278,279,280,281,282,283,284,285,350],[1,2,3,4,10,11,12,13,14,15,16,17,18,19,
20,21,22,23,24,25,26,35,38,39,42,43,44,45,47,52,53,55,56,57,59,60,62,63,64,65,
66,67,68,69,70,72,73,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,
95,120,128,131,133,138,139,140,142,144,145,150,152,153,154,155,156,157,163,
165,166,169,170,171,172,173,180,183,184,187,190,191,192,193,197,198,244,249,
253,254,263,265,267,270,272,280,281,290,291,299,351],[1,2,3,4,10,11,12,13,14,
15,16,17,18,19,20,21,22,23,24,25,26,34,37,40,41,43,44,45,46,50,51,54,56,57,58,
61,62,63,64,65,66,67,68,69,71,72,73,74,77,78,79,80,81,82,83,84,85,86,87,88,89,
90,91,92,93,94,96,121,129,130,132,136,137,141,142,146,147,151,152,153,154,155,
158,159,162,164,167,168,170,171,172,173,181,182,185,186,188,189,194,195,196,
199,243,250,255,256,264,266,268,269,273,282,283,288,289,298,352],[1,2,3,4,10,
11,12,13,14,15,16,17,18,19,20,21,22,24,25,26,37,38,39,40,43,44,45,46,47,52,53,
54,55,56,58,59,60,61,62,64,66,68,70,73,74,75,76,78,79,80,81,83,84,85,86,87,88,
89,90,92,94,96,97,120,130,131,133,138,139,140,143,144,145,152,153,156,157,158,
159,160,163,167,168,174,175,176,177,179,181,182,187,190,191,192,193,197,200,
244,253,254,257,261,262,267,274,278,279,294,295,299,353],[1,2,3,4,10,11,12,13,
14,15,16,17,18,19,20,21,22,23,25,26,37,38,39,40,43,44,45,46,47,50,51,54,55,57,
58,59,60,61,63,65,67,69,71,72,74,75,76,78,79,80,81,83,84,85,86,87,88,89,90,91,
93,95,97,121,130,131,132,136,137,141,143,146,147,154,155,156,157,158,159,161,
162,166,169,174,175,176,177,179,180,183,186,188,189,194,195,196,201,243,255,
256,258,259,260,268,274,276,277,292,293,298,354],[1,2,3,4,9,10,11,12,13,14,15,
16,17,18,19,20,21,22,23,25,26,33,35,37,38,39,40,42,43,44,45,46,47,49,50,51,54,
55,57,58,59,60,61,63,65,67,69,71,72,73,74,77,78,79,80,81,83,84,85,86,87,88,89,
90,91,93,95,97,123,125,128,131,132,134,136,137,141,142,146,147,154,155,158,
159,161,162,163,165,166,169,174,175,176,177,180,183,184,186,188,189,194,195,
199,201,245,251,255,256,259,260,269,272,276,277,288,289,296,355],[1,2,3,4,9,
10,11,12,13,14,15,16,17,18,19,20,21,22,24,25,26,33,34,37,38,39,40,41,43,44,45,
46,47,48,52,53,54,55,56,58,59,60,61,62,64,66,68,70,72,73,75,77,78,79,80,81,83,
84,85,86,87,88,89,90,92,94,96,97,122,124,129,130,133,135,138,139,140,142,144,
145,152,153,156,157,160,162,163,164,167,168,174,175,176,177,181,182,185,187,
190,191,192,193,198,200,246,252,253,254,261,262,270,273,278,279,290,291,297,
356],[1,2,3,4,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,33,34,35,
38,39,41,42,43,44,45,47,48,52,53,55,56,57,59,60,62,63,64,65,66,67,68,69,70,73,
74,75,76,78,79,80,81,82,84,86,87,88,89,90,91,92,93,94,95,96,97,122,124,128,
129,133,135,138,139,140,143,144,145,150,151,152,153,156,157,160,161,165,166,
169,170,171,172,173,178,180,183,190,191,192,193,197,198,200,246,248,252,257,
261,262,263,265,275,280,281,294,295,297,357],[1,2,3,4,9,10,11,12,13,14,15,16,
17,18,19,20,21,22,23,24,25,26,33,34,35,37,40,41,42,43,44,45,46,49,50,51,54,56,
57,58,61,62,63,64,65,66,67,68,69,71,72,74,75,76,78,79,80,81,82,83,85,87,88,89,
90,91,92,93,94,95,96,97,123,125,128,129,132,134,136,137,141,143,146,147,150,
151,154,155,158,159,160,161,164,167,168,170,171,172,173,178,181,182,188,189,
194,195,196,199,201,245,247,251,258,259,260,264,266,275,282,283,292,293,296,
358],[1,2,3,4,5,8,10,19,28,30,31,36,98,113,115,116,202,203,204,237,300,301,
302,359],[1,2,3,4,5,19,26,28,30,31,76,98,116,202,203,204,302,307,360],[1,2,3,
4,5,19,25,28,30,31,77,98,116,202,203,204,302,306,361],[1,2,4,5,10,25,26,28,31,
78,98,115,203,204,301,306,307,362],[1,2,4,5,10,25,26,28,31,79,98,115,203,204,
301,306,307,363],[1,2,3,4,5,6,8,10,19,28,29,30,31,36,99,104,113,115,116,205,
236,237,303,364],[1,4,12,13,15,27,54,121,365],[1,4,11,14,16,27,55,120,366],[1,
2,5,8,28,32,113,117,209,239,309,367],[1,2,7,8,32,105,117,211,239,368],[1,2,7,
8,32,105,117,210,239,369],[1,2,7,8,32,105,117,212,239,370],[1,3,4,5,9,12,18,
21,23,24,26,30,34,49,57,74,82,96,108,110,123,151,201,219,247,310,371],[1,3,4,
5,9,11,17,22,23,24,26,30,35,48,56,75,82,95,108,109,122,150,200,220,248,311,
372],[1,3,4,5,9,11,13,15,17,18,22,24,25,26,31,43,48,56,73,75,84,86,92,94,96,
97,108,109,122,152,153,160,190,191,198,213,216,218,252,311,373],[1,3,4,5,9,12,
14,16,17,18,21,23,25,26,31,44,49,57,72,74,83,85,91,93,95,97,108,110,123,154,
155,161,188,189,199,214,215,217,251,310,374],[1,2,3,4,5,9,10,11,12,14,16,17,
19,20,22,24,28,33,34,38,39,41,44,45,47,48,52,53,55,56,59,60,62,64,66,68,70,
108,109,122,124,129,133,135,138,139,140,222,223,225,227,246,311,375],[1,2,3,4,
5,9,10,11,12,13,15,18,19,20,21,23,28,33,35,37,40,42,43,45,46,49,50,51,54,57,
58,61,63,65,67,69,71,108,110,123,125,128,132,134,136,137,141,221,224,226,227,
245,310,376],[1,2,3,4,6,8,9,10,11,12,14,16,17,19,20,22,24,29,33,34,36,38,39,
41,44,45,47,48,52,53,55,56,59,60,62,64,66,68,70,104,106,112,119,127,129,131,
135,138,139,229,232,233,234,236,242,313,377],[1,2,3,4,6,8,9,10,11,12,13,15,18,
19,20,21,23,29,33,35,36,37,40,42,43,45,46,49,50,51,54,57,58,61,63,65,67,69,71,
104,107,111,119,126,128,130,134,136,137,228,230,231,235,236,241,312,378],[1,2,
3,4,5,9,19,20,25,26,28,33,76,77,80,81,108,148,227,286,379],[1,2,3,4,6,8,10,19,
25,26,29,36,76,77,78,79,104,149,236,287,380],[1,2,3,4,5,8,10,13,14,15,16,17,
18,19,21,22,23,24,25,26,28,30,31,36,37,38,39,40,41,42,46,47,62,63,64,65,76,77,
78,79,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,110,113,115,116,126,127,
149,166,167,168,169,172,173,176,177,178,179,184,185,214,215,217,219,221,224,
226,237,284,325,327,329,331,333,335,337,381],[1,2,3,4,5,8,10,13,14,15,16,17,
18,19,21,22,23,24,25,26,28,30,31,36,37,38,39,40,41,42,46,47,62,63,64,65,76,77,
78,79,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,109,113,115,116,126,127,
149,166,167,168,169,172,173,176,177,178,179,184,185,213,216,218,220,222,223,
225,237,284,324,326,328,330,332,334,336,382],[1,3,4,6,9,11,17,22,23,24,26,29,
35,48,56,75,82,95,107,111,122,150,200,235,248,316,383],[1,3,4,6,9,12,18,21,23,
24,26,29,34,49,57,74,82,96,106,112,123,151,201,234,247,317,384],[1,3,4,6,12,
13,15,24,25,29,34,54,72,92,94,112,121,164,186,234,250,314,385],[1,3,4,6,11,14,
16,23,25,29,35,55,73,91,93,111,120,165,187,235,249,315,386],[1,2,5,6,7,8,28,
98,99,100,104,105,113,204,238,300,303,304,387],[1,2,4,5,10,15,18,27,28,31,37,
102,103,110,115,208,221,340,388],[1,2,4,5,10,16,17,27,28,31,38,102,103,109,
115,208,222,341,389],[1,2,4,5,10,14,17,27,28,31,39,102,103,109,115,208,223,
341,390],[1,2,4,5,10,13,18,27,28,31,40,102,103,110,115,208,224,340,391],[1,2,
3,4,5,17,19,24,27,28,30,31,41,101,102,103,109,116,207,225,341,392],[1,2,3,4,5,
18,19,23,27,28,30,31,42,101,102,103,110,116,207,226,340,393],[1,2,3,4,5,9,19,
20,27,28,30,31,33,101,102,103,108,116,207,227,339,394],[1,2,3,4,6,8,10,19,27,
29,36,101,102,103,104,118,206,207,208,236,240,308,342,395],[1,2,3,4,8,9,10,11,
12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,33,34,35,36,37,38,39,40,41,42,43,
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,
96,97,119,121,123,125,126,127,128,129,130,131,132,134,135,136,137,138,139,141,
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,
180,181,182,183,184,185,186,188,189,194,195,196,199,201,241,242,243,245,247,
250,251,255,256,258,259,260,264,266,268,269,271,272,273,274,275,276,277,278,
279,280,281,282,283,284,285,288,289,292,293,296,298,344,349,350,352,354,355,
358,396],[1,2,3,4,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,33,
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,
86,87,88,89,90,91,92,93,94,95,96,97,119,120,122,124,126,127,128,129,130,131,
133,134,135,136,137,138,139,140,142,143,144,145,146,147,148,149,150,151,152,
153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,
172,173,174,175,176,177,178,179,180,181,182,183,184,185,187,190,191,192,193,
197,198,200,241,242,244,246,248,249,252,253,254,257,261,262,263,265,267,270,
271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,290,291,294,295,
297,299,345,348,350,351,353,356,357,397],[1,2,3,4,8,9,10,11,12,13,14,15,16,17,
18,19,20,21,22,23,24,25,26,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,
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,
76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,119,126,127,
128,129,130,131,134,135,136,137,138,139,142,143,144,145,146,147,148,149,150,
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,
189,190,191,192,193,194,195,196,197,198,199,200,201,241,242,271,272,273,274,
275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,
294,295,296,297,298,299,346,347,348,349,350,398],[1,3,4,5,6,9,11,17,22,24,29,
48,56,99,106,107,108,109,111,114,122,229,305,311,316,320,399],[1,3,4,5,6,9,12,
18,21,23,29,49,57,99,106,107,108,110,112,114,123,228,305,310,317,319,400],[1,
2,3,4,5,6,8,9,10,11,12,19,20,28,29,33,36,45,99,104,106,107,108,111,112,113,
114,119,227,236,303,305,312,313,318,323,401],[1,2,3,4,5,8,10,19,25,26,28,30,
31,36,76,77,78,79,98,113,115,116,149,202,203,204,237,300,301,302,306,307,359,
360,361,362,363,402],[1,3,4,11,14,16,23,25,27,35,55,73,91,93,101,120,165,187,
249,366,403],[1,3,4,12,13,15,24,25,27,34,54,72,92,94,101,121,164,186,250,365,
404],[1,4,12,13,14,15,16,17,25,26,27,44,54,72,74,84,86,87,88,89,90,102,121,
158,159,162,194,195,196,268,365,405],[1,4,11,13,14,15,16,18,25,26,27,43,55,73,
75,83,85,87,88,89,90,102,120,156,157,163,192,193,197,267,366,406],[1,2,3,4,10,
11,12,14,16,17,19,20,22,24,27,38,39,44,45,47,52,53,55,56,59,60,62,64,66,68,70,
103,120,131,133,138,139,140,244,366,407],[1,2,3,4,10,11,12,13,15,18,19,20,21,
23,27,37,40,43,45,46,50,51,54,57,58,61,63,65,67,69,71,103,121,130,132,136,137,
141,243,365,408],[1,4,5,17,18,26,31,32,97,109,110,209,213,214,409],[1,3,5,6,9,
27,29,30,99,101,106,107,108,114,118,205,240,305,339,410],[1,2,3,4,6,8,9,10,11,
12,14,16,17,19,20,22,24,33,34,36,38,39,41,44,45,47,48,52,53,55,56,59,60,62,64,
66,68,70,104,107,111,119,120,122,124,127,129,131,133,135,138,139,140,242,244,
246,312,315,316,345,411],[1,2,3,4,6,8,9,10,11,12,13,15,18,19,20,21,23,33,35,
36,37,40,42,43,45,46,49,50,51,54,57,58,61,63,65,67,69,71,104,106,112,119,121,
123,125,126,128,130,132,134,136,137,141,241,243,245,313,314,317,344,412],[1,2,
3,4,5,8,9,10,11,12,14,16,17,19,20,22,24,28,33,34,36,38,39,41,44,45,47,48,52,
53,55,56,59,60,62,64,66,68,70,108,109,113,119,120,122,124,127,129,131,133,135,
138,139,140,222,223,225,227,242,244,246,311,318,324,345,375,413],[1,2,3,4,5,8,
9,10,11,12,13,15,18,19,20,21,23,28,33,35,36,37,40,42,43,45,46,49,50,51,54,57,
58,61,63,65,67,69,71,108,110,113,119,121,123,125,126,128,130,132,134,136,137,
141,221,224,226,227,241,243,245,310,318,325,344,376,414],[1,2,3,4,6,8,9,10,11,
12,13,15,18,19,20,21,23,29,33,35,36,37,40,42,43,45,46,49,50,51,54,57,58,61,63,
65,67,69,71,104,107,111,114,119,121,123,125,126,128,130,132,134,136,137,141,
228,230,231,235,236,241,243,245,312,319,321,323,344,378,415],[1,2,3,4,6,8,9,
10,11,12,14,16,17,19,20,22,24,29,33,34,36,38,39,41,44,45,47,48,52,53,55,56,59,
60,62,64,66,68,70,104,106,112,114,119,120,122,124,127,129,131,133,135,138,139,
140,229,232,233,234,236,242,244,246,313,320,322,323,345,377,416],[1,2,3,4,5,9,
10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,28,30,31,33,34,35,37,40,41,
42,43,44,45,46,49,50,51,54,56,57,58,61,62,63,64,65,66,67,68,69,71,72,74,75,76,
78,79,80,81,82,83,85,87,88,89,90,91,92,93,94,95,96,97,108,110,116,123,125,128,
129,132,134,136,137,141,143,146,147,150,151,154,155,158,159,160,161,164,167,
168,170,171,172,173,178,181,182,188,189,194,195,196,199,201,214,215,217,219,
221,224,226,227,245,247,251,258,259,260,264,266,275,282,283,292,293,296,310,
327,329,331,358,371,374,376,417],[1,2,3,4,5,9,10,11,12,13,14,15,16,17,18,19,
20,21,22,23,24,25,26,28,30,31,33,34,35,38,39,41,42,43,44,45,47,48,52,53,55,56,
57,59,60,62,63,64,65,66,67,68,69,70,73,74,75,76,78,79,80,81,82,84,86,87,88,89,
90,91,92,93,94,95,96,97,108,109,116,122,124,128,129,133,135,138,139,140,143,
144,145,150,151,152,153,156,157,160,161,165,166,169,170,171,172,173,178,180,
183,190,191,192,193,197,198,200,213,216,218,220,222,223,225,227,246,248,252,
257,261,262,263,265,275,280,281,294,295,297,311,326,328,330,357,372,373,375,
418],[1,2,3,4,5,9,10,11,12,13,14,15,16,17,18,19,20,21,22,24,25,26,28,31,33,34,
37,38,39,40,41,43,44,45,46,47,48,52,53,54,55,56,58,59,60,61,62,64,66,68,70,72,
73,75,77,78,79,80,81,83,84,85,86,87,88,89,90,92,94,96,97,108,109,115,122,124,
129,130,133,135,138,139,140,142,144,145,152,153,156,157,160,162,163,164,167,
168,174,175,176,177,181,182,185,187,190,191,192,193,198,200,213,216,218,222,
223,225,227,246,252,253,254,261,262,270,273,278,279,290,291,297,311,332,334,
336,356,373,375,419],[1,2,3,4,5,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,
25,26,28,31,33,35,37,38,39,40,42,43,44,45,46,47,49,50,51,54,55,57,58,59,60,61,
63,65,67,69,71,72,73,74,77,78,79,80,81,83,84,85,86,87,88,89,90,91,93,95,97,
108,110,115,123,125,128,131,132,134,136,137,141,142,146,147,154,155,158,159,
161,162,163,165,166,169,174,175,176,177,180,183,184,186,188,189,194,195,199,
201,214,215,217,221,224,226,227,245,251,255,256,259,260,269,272,276,277,288,
289,296,310,333,335,337,355,374,376,420],[1,2,3,4,5,8,9,10,11,12,19,20,25,26,
28,33,36,45,72,73,74,75,76,77,78,79,80,81,108,113,119,142,143,144,145,146,147,
148,149,227,271,286,318,346,379,421],[1,2,3,4,6,8,9,10,11,12,19,20,25,26,29,
33,36,45,72,73,74,75,76,77,78,79,80,81,104,114,119,142,143,144,145,146,147,
148,149,236,271,287,323,347,380,422],[1,2,3,4,5,6,7,8,10,19,28,29,30,31,36,98,
99,100,104,105,113,115,116,202,203,204,205,236,237,238,300,301,302,303,304,
338,359,364,387,423],[1,2,3,4,5,8,9,10,11,12,19,20,27,28,30,31,33,36,45,101,
102,103,108,113,115,116,119,206,207,208,227,237,308,318,339,394,424],[1,2,3,4,
5,8,10,13,15,18,19,21,23,27,28,30,31,36,37,40,42,46,63,65,101,102,103,110,113,
115,116,126,206,207,208,221,224,226,237,308,325,340,388,391,393,425],[1,2,3,4,
5,8,10,14,16,17,19,22,24,27,28,30,31,36,38,39,41,47,62,64,101,102,103,109,113,
115,116,127,206,207,208,222,223,225,237,308,324,341,389,390,392,426],[1,4,6,
11,14,16,27,55,111,118,120,315,366,427],[1,4,6,12,13,15,27,54,112,118,121,314,
365,428],[1,2,5,7,8,28,32,100,105,113,117,209,210,211,212,239,304,309,343,367,
368,369,370,429],[1,2,3,4,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,
26,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,
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,
84,85,86,87,88,89,90,91,92,93,94,95,96,97,119,120,121,122,123,124,125,126,127,
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,
185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,241,242,
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,
344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,396,397,398,430],[
1,2,3,4,5,8,10,19,25,26,28,30,31,36,76,77,78,79,98,113,115,116,149,202,203,
204,237,287,300,301,302,306,307,359,360,361,362,363,402,431],[1,3,4,5,6,9,11,
17,22,23,24,26,29,30,35,48,56,75,82,95,99,106,107,108,109,111,114,122,150,200,
205,220,229,235,248,305,311,316,320,372,383,399,432],[1,3,4,5,6,9,12,18,21,23,
24,26,29,30,34,49,57,74,82,96,99,106,107,108,110,112,114,123,151,201,205,219,
228,234,247,305,310,317,319,371,384,400,433],[1,2,3,4,8,9,10,11,12,13,15,18,
19,20,21,23,27,33,35,36,37,40,42,43,45,46,49,50,51,54,57,58,61,63,65,67,69,71,
103,119,121,123,125,126,128,130,132,134,136,137,141,206,241,243,245,344,365,
408,434],[1,2,3,4,8,9,10,11,12,14,16,17,19,20,22,24,27,33,34,36,38,39,41,44,
45,47,48,52,53,55,56,59,60,62,64,66,68,70,103,119,120,122,124,127,129,131,133,
135,138,139,140,206,242,244,246,345,366,407,435],[1,2,3,4,10,11,12,13,14,15,
16,17,18,19,20,21,22,23,24,25,26,27,35,38,39,42,43,44,45,47,52,53,55,56,57,59,
60,62,63,64,65,66,67,68,69,70,72,73,75,77,78,79,80,81,82,83,84,85,86,87,88,89,
90,91,92,93,94,95,101,102,103,120,128,131,133,138,139,140,142,144,145,150,152,
153,154,155,156,157,163,165,166,169,170,171,172,173,180,183,184,187,190,191,
192,193,197,198,207,244,249,253,254,263,265,267,270,272,280,281,290,291,299,
351,366,403,406,407,436],[1,2,3,4,10,11,12,13,14,15,16,17,18,19,20,21,22,23,
24,25,26,27,34,37,40,41,43,44,45,46,50,51,54,56,57,58,61,62,63,64,65,66,67,68,
69,71,72,73,74,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,96,101,
102,103,121,129,130,132,136,137,141,142,146,147,151,152,153,154,155,158,159,
162,164,167,168,170,171,172,173,181,182,185,186,188,189,194,195,196,199,207,
243,250,255,256,264,266,268,269,273,282,283,288,289,298,352,365,404,405,408,
437],[1,2,3,4,10,11,12,13,14,15,16,17,18,19,20,21,22,23,25,26,27,37,38,39,40,
43,44,45,46,47,50,51,54,55,57,58,59,60,61,63,65,67,69,71,72,74,75,76,78,79,80,
81,83,84,85,86,87,88,89,90,91,93,95,97,102,103,121,130,131,132,136,137,141,
143,146,147,154,155,156,157,158,159,161,162,166,169,174,175,176,177,179,180,
183,186,188,189,194,195,196,201,208,243,255,256,258,259,260,268,274,276,277,
292,293,298,354,365,405,408,438],[1,2,3,4,10,11,12,13,14,15,16,17,18,19,20,21,
22,24,25,26,27,37,38,39,40,43,44,45,46,47,52,53,54,55,56,58,59,60,61,62,64,66,
68,70,73,74,75,76,78,79,80,81,83,84,85,86,87,88,89,90,92,94,96,97,102,103,120,
130,131,133,138,139,140,143,144,145,152,153,156,157,158,159,160,163,167,168,
174,175,176,177,179,181,182,187,190,191,192,193,197,200,208,244,253,254,257,
261,262,267,274,278,279,294,295,299,353,366,406,407,439],[1,2,3,4,5,17,18,19,
23,24,26,28,30,31,32,41,42,76,82,95,96,97,109,110,116,117,178,209,213,214,219,
220,225,226,309,326,327,409,440],[1,2,4,5,10,15,16,17,18,25,26,28,31,32,37,38,
78,83,84,90,97,109,110,115,117,176,209,213,214,216,217,221,222,309,334,335,
409,441],[1,2,4,5,10,13,14,17,18,25,26,28,31,32,39,40,79,85,86,87,97,109,110,
115,117,177,209,213,214,215,218,223,224,309,332,333,409,442],[1,4,5,17,18,26,
27,31,97,98,102,109,110,203,213,214,307,340,341,443],[1,2,3,4,5,8,9,10,11,12,
13,14,15,16,17,18,19,20,21,22,23,24,25,26,28,30,31,33,34,35,36,37,38,39,40,41,
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,
94,95,96,97,108,109,113,115,116,119,120,122,124,126,127,128,129,130,131,133,
134,135,136,137,138,139,140,142,143,144,145,146,147,148,149,150,151,152,153,
154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,
173,174,175,176,177,178,179,180,181,182,183,184,185,187,190,191,192,193,197,
198,200,213,216,218,220,222,223,225,227,237,241,242,244,246,248,249,252,253,
254,257,261,262,263,265,267,270,271,272,273,274,275,276,277,278,279,280,281,
282,283,284,285,290,291,294,295,297,299,311,318,324,326,328,330,332,334,336,
345,348,350,351,353,356,357,372,373,375,382,397,413,418,419,444],[1,2,3,4,5,8,
9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,28,30,31,33,34,35,36,37,
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,
90,91,92,93,94,95,96,97,108,110,113,115,116,119,121,123,125,126,127,128,129,
130,131,132,134,135,136,137,138,139,141,142,143,144,145,146,147,148,149,150,
151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,
170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,188,189,
194,195,196,199,201,214,215,217,219,221,224,226,227,237,241,242,243,245,247,
250,251,255,256,258,259,260,264,266,268,269,271,272,273,274,275,276,277,278,
279,280,281,282,283,284,285,288,289,292,293,296,298,310,318,325,327,329,331,
333,335,337,344,349,350,352,354,355,358,371,374,376,381,396,414,417,420,445],[
1,2,3,4,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,29,33,34,35,
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,
88,89,90,91,92,93,94,95,96,97,104,106,112,119,121,123,125,126,127,128,129,130,
131,132,134,135,136,137,138,139,141,142,143,144,145,146,147,148,149,150,151,
152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,
171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,188,189,194,
195,196,199,201,229,232,233,234,236,241,242,243,245,247,250,251,255,256,258,
259,260,264,266,268,269,271,272,273,274,275,276,277,278,279,280,281,282,283,
284,285,288,289,292,293,296,298,313,314,317,344,349,350,352,354,355,358,377,
384,385,396,412,446],[1,2,3,4,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,
24,25,26,29,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,
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,
81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,104,107,111,119,120,122,
124,126,127,128,129,130,131,133,134,135,136,137,138,139,140,142,143,144,145,
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,
184,185,187,190,191,192,193,197,198,200,228,230,231,235,236,241,242,244,246,
248,249,252,253,254,257,261,262,263,265,267,270,271,272,273,274,275,276,277,
278,279,280,281,282,283,284,285,290,291,294,295,297,299,312,315,316,345,348,
350,351,353,356,357,378,383,386,397,411,447],[1,3,4,6,11,14,16,23,25,27,29,35,
55,73,91,93,101,111,118,120,165,187,235,240,249,315,366,386,403,427,448],[1,3,
4,6,12,13,15,24,25,27,29,34,54,72,92,94,101,112,118,121,164,186,234,240,250,
314,365,385,404,428,449],[1,2,3,4,5,6,8,9,10,11,12,13,15,18,19,20,21,23,28,29,
33,35,36,37,40,42,43,45,46,49,50,51,54,57,58,61,63,65,67,69,71,99,104,106,107,
108,110,111,112,113,114,119,121,123,125,126,128,130,132,134,136,137,141,221,
224,226,227,228,230,231,235,236,241,243,245,303,305,310,312,313,314,317,318,
319,321,323,325,344,376,378,400,401,412,414,415,450],[1,2,3,4,5,6,8,9,10,11,
12,14,16,17,19,20,22,24,28,29,33,34,36,38,39,41,44,45,47,48,52,53,55,56,59,60,
62,64,66,68,70,99,104,106,107,108,109,111,112,113,114,119,120,122,124,127,129,
131,133,135,138,139,140,222,223,225,227,229,232,233,234,236,242,244,246,303,
305,311,312,313,315,316,318,320,322,323,324,345,375,377,399,401,411,413,416,
451],[1,2,3,4,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,33,34,
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,
87,88,89,90,91,92,93,94,95,96,97,101,102,103,119,120,122,124,126,127,128,129,
130,131,133,134,135,136,137,138,139,140,142,143,144,145,146,147,148,149,150,
151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,
170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,187,190,191,
192,193,197,198,200,206,207,208,241,242,244,246,248,249,252,253,254,257,261,
262,263,265,267,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,
285,290,291,294,295,297,299,308,345,348,350,351,353,356,357,366,397,403,406,
407,435,436,439,452],[1,2,3,4,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,
24,25,26,27,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,
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,
81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,101,102,103,119,121,123,
125,126,127,128,129,130,131,132,134,135,136,137,138,139,141,142,143,144,145,
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,
184,185,186,188,189,194,195,196,199,201,206,207,208,241,242,243,245,247,250,
251,255,256,258,259,260,264,266,268,269,271,272,273,274,275,276,277,278,279,
280,281,282,283,284,285,288,289,292,293,296,298,308,344,349,350,352,354,355,
358,365,396,404,405,408,434,437,438,453],[1,2,3,4,5,8,10,13,14,15,16,17,18,19,
21,22,23,24,25,26,28,30,31,32,36,37,38,39,40,41,42,46,47,62,63,64,65,76,77,78,
79,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,109,110,113,115,116,117,
126,127,149,166,167,168,169,172,173,176,177,178,179,184,185,209,213,214,215,
216,217,218,219,220,221,222,223,224,225,226,237,239,284,309,324,325,326,327,
328,329,330,331,332,333,334,335,336,337,367,381,382,409,440,441,442,454],[1,2,
4,5,10,13,14,17,18,25,26,27,28,31,39,40,79,85,86,87,97,98,102,103,109,110,115,
177,203,204,208,213,214,215,218,223,224,301,306,307,332,333,340,341,363,390,
391,443,455],[1,2,4,5,10,15,16,17,18,25,26,27,28,31,37,38,78,83,84,90,97,98,
102,103,109,110,115,176,203,204,208,213,214,216,217,221,222,301,306,307,334,
335,340,341,362,388,389,443,456],[1,2,3,4,5,17,18,19,23,24,26,27,28,30,31,41,
42,76,82,95,96,97,98,101,102,103,109,110,116,178,202,203,204,207,213,214,219,
220,225,226,302,307,326,327,340,341,360,392,393,443,457],[1,2,3,4,5,6,8,9,10,
11,12,19,20,27,28,29,30,31,33,36,45,99,101,102,103,104,106,107,108,111,112,
113,114,115,116,118,119,205,206,207,208,227,236,237,240,303,305,308,312,313,
318,323,339,342,364,394,395,401,410,424,458],[1,2,3,4,6,8,9,10,11,12,13,14,15,
16,17,18,19,20,21,22,23,24,25,26,29,33,34,35,36,37,38,39,40,41,42,43,44,45,46,
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,
104,106,112,114,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,
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,
191,192,193,194,195,196,197,198,199,200,201,229,232,233,234,236,241,242,243,
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,
282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,313,
314,317,320,322,323,344,345,346,347,348,349,350,351,352,353,354,355,356,357,
358,377,384,385,396,397,398,412,416,430,446,459],[1,2,3,4,6,8,9,10,11,12,13,
14,15,16,17,18,19,20,21,22,23,24,25,26,29,33,34,35,36,37,38,39,40,41,42,43,44,
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,
97,104,107,111,114,119,120,121,122,123,124,125,126,127,128,129,130,131,132,
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,
190,191,192,193,194,195,196,197,198,199,200,201,228,230,231,235,236,241,242,
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,
312,315,316,319,321,323,344,345,346,347,348,349,350,351,352,353,354,355,356,
357,358,378,383,386,396,397,398,411,415,430,447,460],[1,2,3,4,5,8,9,10,11,12,
13,14,15,16,17,18,19,20,21,22,23,24,25,26,28,33,34,35,36,37,38,39,40,41,42,43,
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,
96,97,108,109,110,113,119,120,121,122,123,124,125,126,127,128,129,130,131,132,
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,
190,191,192,193,194,195,196,197,198,199,200,201,221,222,223,224,225,226,227,
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,
298,299,310,311,318,324,325,344,345,346,347,348,349,350,351,352,353,354,355,
356,357,358,375,376,379,396,397,398,413,414,421,430,461],[1,2,3,4,6,8,9,10,11,
12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,29,33,34,35,36,37,38,39,40,41,42,
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,
95,96,97,104,106,107,111,112,114,119,120,121,122,123,124,125,126,127,128,129,
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,
187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,228,229,230,231,
232,233,234,235,236,241,242,243,244,245,246,247,248,249,250,251,252,253,254,
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,
293,294,295,296,297,298,299,312,313,319,320,321,322,323,344,345,346,347,348,
349,350,351,352,353,354,355,356,357,358,377,378,380,396,397,398,415,416,422,
430,462],[1,2,3,4,5,6,7,8,10,19,25,26,28,29,30,31,36,76,77,78,79,98,99,100,
104,105,113,115,116,149,202,203,204,205,236,237,238,287,300,301,302,303,304,
306,307,338,359,360,361,362,363,364,380,387,402,423,431,463],[1,2,3,4,6,8,9,
10,11,12,13,15,18,19,20,21,23,27,33,35,36,37,40,42,43,45,46,49,50,51,54,57,58,
61,63,65,67,69,71,103,104,106,112,118,119,121,123,125,126,128,130,132,134,136,
137,141,206,241,243,245,313,314,317,342,344,365,408,412,428,434,464],[1,2,3,4,
6,8,9,10,11,12,14,16,17,19,20,22,24,27,33,34,36,38,39,41,44,45,47,48,52,53,55,
56,59,60,62,64,66,68,70,103,104,107,111,118,119,120,122,124,127,129,131,133,
135,138,139,140,206,242,244,246,312,315,316,342,345,366,407,411,427,435,465],[
1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,28,29,30,
31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,
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,
84,85,86,87,88,89,90,91,92,93,94,95,96,97,99,104,106,107,108,110,111,112,113,
114,115,116,119,121,123,125,126,127,128,129,130,131,132,134,135,136,137,138,
139,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,
159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,
178,179,180,181,182,183,184,185,186,188,189,194,195,196,199,201,205,214,215,
217,219,221,224,226,227,228,229,230,231,232,233,234,235,236,237,241,242,243,
245,247,250,251,255,256,258,259,260,264,266,268,269,271,272,273,274,275,276,
277,278,279,280,281,282,283,284,285,288,289,292,293,296,298,303,305,310,312,
313,314,317,318,319,321,323,325,327,329,331,333,335,337,344,349,350,352,354,
355,358,364,371,374,376,377,378,381,384,385,396,400,401,412,414,415,417,420,
433,445,446,450,466],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,
23,24,25,26,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,
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,
77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,99,104,106,107,
108,109,111,112,113,114,115,116,119,120,122,124,126,127,128,129,130,131,133,
134,135,136,137,138,139,140,142,143,144,145,146,147,148,149,150,151,152,153,
154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,
173,174,175,176,177,178,179,180,181,182,183,184,185,187,190,191,192,193,197,
198,200,205,213,216,218,220,222,223,225,227,228,229,230,231,232,233,234,235,
236,237,241,242,244,246,248,249,252,253,254,257,261,262,263,265,267,270,271,
272,273,274,275,276,277,278,279,280,281,282,283,284,285,290,291,294,295,297,
299,303,305,311,312,313,315,316,318,320,322,323,324,326,328,330,332,334,336,
345,348,350,351,353,356,357,364,372,373,375,377,378,382,383,386,397,399,401,
411,413,416,418,419,432,444,447,451,467],[1,2,3,4,5,8,10,13,14,15,16,17,18,19,
21,22,23,24,25,26,27,28,30,31,36,37,38,39,40,41,42,46,47,62,63,64,65,76,77,78,
79,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,101,102,103,109,110,113,
115,116,126,127,149,166,167,168,169,172,173,176,177,178,179,184,185,202,203,
204,206,207,208,213,214,215,216,217,218,219,220,221,222,223,224,225,226,237,
284,300,301,302,306,307,308,324,325,326,327,328,329,330,331,332,333,334,335,
336,337,340,341,359,360,361,362,363,381,382,388,389,390,391,392,393,402,425,
426,443,455,456,457,468],[1,2,3,4,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,
22,23,24,25,26,27,29,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,
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,
78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,101,102,103,104,
106,112,118,119,121,123,125,126,127,128,129,130,131,132,134,135,136,137,138,
139,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,
159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,
178,179,180,181,182,183,184,185,186,188,189,194,195,196,199,201,206,207,208,
229,232,233,234,236,240,241,242,243,245,247,250,251,255,256,258,259,260,264,
266,268,269,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,288,
289,292,293,296,298,308,313,314,317,342,344,349,350,352,354,355,358,365,377,
384,385,395,396,404,405,408,412,428,434,437,438,446,449,453,464,469],[1,2,3,4,
6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,29,33,34,35,36,37,
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,
90,91,92,93,94,95,96,97,101,102,103,104,107,111,118,119,120,122,124,126,127,
128,129,130,131,133,134,135,136,137,138,139,140,142,143,144,145,146,147,148,
149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,
168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,187,
190,191,192,193,197,198,200,206,207,208,228,230,231,235,236,240,241,242,244,
246,248,249,252,253,254,257,261,262,263,265,267,270,271,272,273,274,275,276,
277,278,279,280,281,282,283,284,285,290,291,294,295,297,299,308,312,315,316,
342,345,348,350,351,353,356,357,366,378,383,386,395,397,403,406,407,411,427,
435,436,439,447,448,452,465,470],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,
19,20,21,22,23,24,25,26,28,29,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,
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,
75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,99,104,
106,107,108,109,110,111,112,113,114,119,120,121,122,123,124,125,126,127,128,
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,
186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,221,222,223,
224,225,226,227,228,229,230,231,232,233,234,235,236,241,242,243,244,245,246,
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,
285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,303,305,310,311,
312,313,314,315,316,317,318,319,320,321,322,323,324,325,344,345,346,347,348,
349,350,351,352,353,354,355,356,357,358,375,376,377,378,379,380,383,384,385,
386,396,397,398,399,400,401,411,412,413,414,415,416,421,422,430,446,447,450,
451,459,460,461,462,471],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,18,19,20,21,
22,23,24,25,26,27,28,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,
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,
76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,101,102,103,
108,109,110,113,115,116,119,120,121,122,123,124,125,126,127,128,129,130,131,
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,
189,190,191,192,193,194,195,196,197,198,199,200,201,206,207,208,214,215,217,
219,221,222,223,224,225,226,227,237,241,242,243,244,245,246,247,248,249,250,
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,
289,290,291,292,293,294,295,296,297,298,299,308,310,311,318,324,325,327,329,
331,333,335,337,339,341,344,345,346,347,348,349,350,351,352,353,354,355,356,
357,358,365,371,374,375,376,379,381,389,390,392,394,396,397,398,404,405,408,
413,414,417,420,421,424,426,430,434,437,438,445,453,461,472],[1,2,3,4,5,8,9,
10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,30,31,33,34,35,36,37,
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,
90,91,92,93,94,95,96,97,101,102,103,108,109,110,113,115,116,119,120,121,122,
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,
199,200,201,206,207,208,213,216,218,220,221,222,223,224,225,226,227,237,241,
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,
299,308,310,311,318,324,325,326,328,330,332,334,336,339,340,344,345,346,347,
348,349,350,351,352,353,354,355,356,357,358,366,372,373,375,376,379,382,388,
391,393,394,396,397,398,403,406,407,413,414,418,419,421,424,425,430,435,436,
439,444,452,461,473],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,
23,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,
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,
76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,99,101,102,
103,104,106,107,108,109,110,111,112,113,114,115,116,118,119,120,121,122,123,
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,
200,201,205,206,207,208,214,215,217,219,221,222,223,224,225,226,227,228,229,
230,231,232,233,234,235,236,237,240,241,242,243,244,245,246,247,248,249,250,
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,
289,290,291,292,293,294,295,296,297,298,299,303,305,308,310,311,312,313,314,
315,316,317,318,319,320,321,322,323,324,325,327,329,331,333,335,337,339,341,
342,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,364,365,371,
374,375,376,377,378,379,380,381,383,384,385,386,389,390,392,394,395,396,397,
398,399,400,401,404,405,408,410,411,412,413,414,415,416,417,420,421,422,424,
426,428,430,433,434,437,438,445,446,447,449,450,451,453,458,459,460,461,462,
464,466,469,471,472,474],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,
22,23,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,
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,
75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,99,101,
102,103,104,106,107,108,109,110,111,112,113,114,115,116,118,119,120,121,122,
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,
199,200,201,205,206,207,208,213,216,218,220,221,222,223,224,225,226,227,228,
229,230,231,232,233,234,235,236,237,240,241,242,243,244,245,246,247,248,249,
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,
288,289,290,291,292,293,294,295,296,297,298,299,303,305,308,310,311,312,313,
314,315,316,317,318,319,320,321,322,323,324,325,326,328,330,332,334,336,339,
340,342,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,364,366,
372,373,375,376,377,378,379,380,382,383,384,385,386,388,391,393,394,395,396,
397,398,399,400,401,403,406,407,410,411,412,413,414,415,416,418,419,421,422,
424,425,427,430,432,435,436,439,444,446,447,448,450,451,452,458,459,460,461,
462,465,467,470,471,473,475],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,18,19,20,
21,22,23,24,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,
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,
101,102,103,108,109,110,113,115,116,117,119,120,121,122,123,124,125,126,127,
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,
204,206,207,208,209,213,214,215,216,217,218,219,220,221,222,223,224,225,226,
227,237,239,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,
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,
295,296,297,298,299,300,301,302,306,307,308,309,310,311,318,324,325,326,327,
328,329,330,331,332,333,334,335,336,337,339,340,341,344,345,346,347,348,349,
350,351,352,353,354,355,356,357,358,359,360,361,362,363,365,366,367,371,372,
373,374,375,376,379,381,382,388,389,390,391,392,393,394,396,397,398,402,403,
404,405,406,407,408,409,413,414,417,418,419,420,421,424,425,426,430,431,434,
435,436,437,438,439,440,441,442,443,444,445,452,453,454,455,456,457,461,468,
472,473,476],[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]],
0,
[[1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,3,1],[1,3,1],[1,1,2,1],[1,3,1],[1,
3,1],[1,3,1],[1,3,1],[1,3,1],[1,3,1],[1,3,1],[1,3,1],[1,1,1,1,1],[1,1,2,1],[1,
1,2,1],[1,1,2,1],[1,2,1,1],[1,2,1,1],[1,1,1],[1,1,1],[1,1],[1,1,1,1],[1,1,1,
1],[1,3,1,1],[1,3,1,1],[1,1],[1,1,3,3,1,3,3,1],[1,4,3,1,6,1],[1,4,3,1,6,1],[1,
3,1,3,1,3,3,1],[1,1,6,3,3,1,1],[1,1,6,3,3,1,1],[1,1,6,3,3,1,1],[1,1,6,3,3,1,
1],[1,1,3,3,1,3,3,1],[1,1,3,3,1,3,3,1],[1,7,1,2,2,2,1],[1,7,1,2,2,2,1],[1,1,1,
5,2,1,1,1,2,1],[1,1,1,5,2,1,1,1,2,1],[1,1,1,5,2,1,1,1,2,1],[1,4,3,1,3,3,1],[1,
4,3,1,3,3,1],[1,1,6,1,3,3,1],[1,1,6,1,3,3,1],[1,1,6,1,3,3,1],[1,1,6,1,3,3,1],[
1,7,1,3,3,1],[1,7,1,3,3,1],[1,2,5,1,1,4,1,1],[1,2,5,1,1,4,1,1],[1,1,6,1,2,1,1,
2,1],[1,1,6,1,2,1,1,2,1],[1,1,6,2,1,1,1,2,1],[1,1,6,2,1,1,1,2,1],[1,1,2,4,1,1,
2,2,1,1],[1,1,2,4,1,1,2,2,1,1],[1,1,2,4,1,1,2,2,1,1],[1,1,2,4,1,1,2,2,1,1],[1,
3,4,1,1,2,3,1],[1,3,4,1,1,2,3,1],[1,3,4,1,1,2,3,1],[1,3,4,1,1,2,3,1],[1,2,5,1,
1,1,3,1,1],[1,2,5,1,1,1,3,1,1],[1,3,1,2,1],[1,3,1,2,1],[1,3,1,2,1],[1,3,1,2,
1],[1,1,1,1,1,2,1],[1,1,1,1,1,2,1],[1,1,2,1,1,1,1],[1,1,2,1,1,1,1],[1,1,2,1,1,
1,1],[1,1,2,1,1,1,1],[1,4,1,1,1,1,1],[1,5,1,1,1,1],[1,5,1,1,1,1],[1,5,1,1,1,
1],[1,5,1,1,1,1],[1,5,1,1,1,1],[1,5,1,1,1,1],[1,5,1,1,1,1],[1,5,1,1,1,1],[1,2,
3,1,1,1,1],[1,2,3,1,1,1,1],[1,2,3,1,1,1,1],[1,2,3,1,1,1,1],[1,2,3,1,1,1,1],[1,
2,3,1,1,1,1],[1,5,1,1,1,1],[1,4,1],[1,1,3,1],[1,1,3,1],[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],[1,3,4,1,1],[1,3,1,1,3,1],[1,3,1,1,3,1],[1,1,6,1,3,
1,2,1],[1,1,3,3,1,3,1,1,1,1],[1,1,1,1],[1,1,1,1],[1,3,3,9,1,1,9,3,3,9,9,3,3,9,
1],[1,15,5,15,15,15,1],[1,15,5,15,15,15,1],[1,6,9,2,3,3,18,9,6,9,1],[1,6,9,2,
3,3,18,9,6,9,1],[1,6,9,1,1,3,3,3,12,12,1,3,1,1,3,3,3,1],[1,6,9,1,1,3,3,3,12,
12,1,3,1,1,3,3,3,1],[1,3,3,9,1,9,3,3,1,9,6,3,3,1,1,1,3,3,3,1],[1,3,3,9,1,9,3,
3,1,9,6,3,3,1,1,1,3,3,3,1],[1,1,5,9,2,1,1,2,2,2,5,2,8,10,1,2,1,1,2,2,2,2,2,
1],[1,1,5,9,2,1,1,2,2,2,5,2,8,10,1,2,1,1,2,2,2,2,2,1],[1,1,1,13,6,1,1,8,8,4,1,
2,4,2,2,2,1,2,2,2,2,1],[1,1,1,13,6,1,1,8,8,4,1,2,4,2,2,2,1,2,2,2,2,1],[1,4,11,
1,5,5,2,4,12,6,1,2,2,2,2,2,4,1],[1,4,11,1,5,5,2,4,12,6,1,2,2,2,2,2,4,1],[1,1,
5,9,1,2,3,3,1,5,3,10,7,1,1,1,2,1,1,2,2,1,1,2,1],[1,1,5,9,1,2,3,3,1,5,3,10,7,1,
1,1,2,1,1,2,2,1,1,2,1],[1,1,3,11,4,1,1,3,7,1,3,2,10,3,1,1,2,2,1,1,1,2,1,1,2,
1],[1,1,3,11,4,1,1,7,3,1,3,2,10,3,1,1,2,2,1,1,1,1,2,1,2,1],[1,1,3,11,4,1,1,3,
7,1,3,2,10,3,1,1,2,2,1,1,1,2,1,1,2,1],[1,1,3,11,4,1,1,7,3,1,3,2,10,3,1,1,2,2,
1,1,1,1,2,1,2,1],[1,2,13,1,2,8,8,3,2,10,1,2,2,2,2,1,2,2,2,1],[1,2,13,2,1,8,8,
3,2,10,1,2,2,2,2,1,2,2,2,1],[1,1,1,5,2,1,1,1,2,4,1,2,2,2,1],[1,1,1,5,2,1,1,1,
2,4,1,2,2,2,1],[1,1,1,5,2,1,1,1,2,2,2,1,1,1,2,2,1],[1,1,1,5,2,1,1,1,2,2,2,1,1,
1,2,2,1],[1,1,1,5,2,1,1,1,2,2,2,1,1,1,2,2,1],[1,1,1,5,2,1,1,1,2,2,2,1,1,1,2,2,
1],[1,1,3,3,1,3,3,2,2,1,1,1,2,2,1],[1,3,1,3,1,3,3,2,2,1,1,1,2,2,1],[1,6,5,1,1,
4,6,1,2,1,1,1,2,2,1],[1,6,5,1,1,4,1,6,2,1,1,1,2,2,1],[1,2,9,1,2,2,1,2,4,1,2,1,
1,1,2,2,1],[1,2,9,1,2,2,1,2,4,1,2,1,1,1,2,2,1],[1,2,9,1,2,2,2,1,4,1,2,1,1,1,2,
2,1],[1,2,9,1,2,2,2,1,4,1,2,1,1,1,2,2,1],[1,11,1,2,3,2,3,2,2,1,1,1,2,2,1],[1,
11,1,2,3,2,3,2,2,1,1,1,2,2,1],[1,11,1,3,2,3,2,2,2,1,1,1,2,2,1],[1,11,1,3,2,3,
2,2,2,1,1,1,2,2,1],[1,2,9,1,2,2,1,2,4,1,2,1,1,1,2,2,1],[1,2,9,1,2,2,2,1,4,1,2,
1,1,1,2,2,1],[1,11,1,3,2,3,2,2,2,1,1,1,2,2,1],[1,11,1,2,3,2,3,2,2,1,1,1,2,2,
1],[1,4,7,1,3,3,6,2,1,1,1,2,2,1],[1,4,7,1,3,3,6,2,1,1,1,2,2,1],[1,1,2,8,3,3,1,
1,2,2,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,8,3,1,3,1,2,2,1,1,1,1,1,1,1,1,1,1,1],[1,1,
2,8,3,3,1,1,2,2,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,8,3,1,3,1,2,2,1,1,1,1,1,1,1,1,1,
1,1],[1,5,6,1,1,1,2,2,3,3,1,1,1,1,1,1,1,1,1,1],[1,5,6,1,1,1,2,2,3,3,1,1,1,1,1,
1,1,1,1,1],[1,1,4,6,1,1,1,4,2,2,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,4,6,1,1,1,4,2,2,
1,1,1,1,1,1,1,1,1,1,1,1],[1,1,10,1,2,2,1,1,1,1,2,2,1,1,1,1,1,1,1,1,1,1],[1,1,
10,2,1,1,2,1,1,1,2,2,1,1,1,1,1,1,1,1,1,1],[1,1,10,5,3,3,1,1,1,1,1,1,1,1,1,1,1,
1],[1,1,10,5,3,3,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,5,5,1,1,5,3,3,2,1,1,1,1,1,1,1,
1],[1,1,1,9,4,1,1,1,1,1,2,2,2,1,1,1,1,1,1,1,1],[1,3,8,1,1,2,1,1,2,2,3,1,1,1,1,
1,1,1,1,1,1],[1,3,8,2,1,1,1,1,2,2,3,1,1,1,1,1,1,1,1,1,1],[1,3,8,1,1,2,1,1,2,2,
3,1,1,1,1,1,1,1,1,1,1],[1,3,8,2,1,1,1,1,2,2,3,1,1,1,1,1,1,1,1,1,1],[1,1,3,7,2,
1,1,1,3,2,3,2,1,1,1,1,1,1,1,1],[1,1,3,7,2,1,1,1,3,2,3,2,1,1,1,1,1,1,1,1],[1,7,
1,3,3,4,1,2,1],[1,7,1,3,3,4,1,2,1],[1,2,5,1,1,4,1,2,2,1,1,1,1],[1,2,5,1,1,4,1,
2,2,1,1,1,1],[1,2,5,1,1,4,1,2,2,1,1,1,1],[1,2,5,1,1,4,1,2,2,1,1,1,1],[1,7,1,3,
3,2,2,1,1,1,1],[1,7,1,3,3,2,2,1,1,1,1],[1,7,1,3,3,2,2,1,1,1,1],[1,7,1,3,3,2,2,
1,1,1,1],[1,7,1,3,3,4,1,2,1],[1,7,1,3,3,4,1,2,1],[1,2,5,1,1,4,1,4,1,2,1],[1,2,
5,1,1,4,1,4,1,2,1],[1,2,5,1,1,4,1,4,1,2,1],[1,2,5,1,1,4,1,4,1,2,1],[1,9,4,12,
1,1],[1,9,4,12,1,1],[1,1,4,4,1,1],[1,3,1,3,3,1,1,1],[1,3,1,1,3,1],[1,1,5,5,5,
1,1,1,1,1],[1,1,10,5,1,2,1,1],[1,7,1,1],[1,7,1,1],[1,7,1,1],[1,1,1,1],[1,9,4,
1,3,3,4,3,1,1],[1,9,4,3,1,3,4,3,1,1],[1,9,4,3,1,3,4,3,1,1],[1,9,4,3,1,3,4,3,1,
1],[1,9,4,3,1,3,4,3,1,1],[1,9,4,3,1,3,4,3,1,1],[1,6,3,4,1,3,3,4,3,1,1],[1,6,3,
4,1,3,3,4,3,1,1],[1,1,6,4,3,3,1,4,1,1,1],[1,1,6,4,3,3,1,4,1,1,1],[1,1,6,4,3,3,
1,4,1,1,1],[1,1,6,4,3,3,1,4,1,1,1],[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],[1,4,3,4,1,3,3,4,1,1,1],[1,4,3,4,1,3,3,4,1,
1,1],[1,1,6,4,1,3,3,4,1,1,1],[1,1,6,4,1,3,3,4,1,1,1],[1,1,6,4,1,3,3,4,1,1,1],[
1,1,6,4,1,3,3,4,1,1,1],[1,4,3,4,1,6,4,1,1,1],[1,4,3,4,1,6,4,1,1,1],[1,3,1,3,4,
1,3,3,4,1,1,1],[1,3,3,9,1,1,9,9,3,1,3,3,1,3,3,1],[1,4,3,6,1,1,2,1],[1,3,1,1,3,
1],[1,5,1,1,5,1,1,1],[1,3,7,21,1,1,21,3,3,18,18,6,21,9,36,18,3,1,7,6,6,6,3,9,
18,4,4,4,6,6,6,6,18,18,6,6,12,1,6,3,3,6,6,6,1],[1,3,7,21,1,1,21,3,3,18,18,6,
21,9,36,18,3,1,7,6,6,6,3,9,18,4,4,4,6,6,6,6,18,18,6,6,12,1,6,3,3,6,6,6,1],[1,
1,5,25,10,5,5,30,30,10,5,10,40,10,5,5,10,5,10,10,10,20,10,15,15,5,5,5,5,20,1,
5,5,5,5,10,1],[1,1,5,25,10,5,5,30,30,10,5,10,40,10,5,5,10,5,10,10,10,20,10,15,
15,5,5,5,5,20,1,5,5,5,5,10,1],[1,1,9,21,2,6,3,3,18,18,6,9,12,48,30,2,3,1,1,4,
3,3,6,12,6,6,6,12,9,9,9,9,15,15,24,1,6,3,6,6,3,3,3,1],[1,1,9,21,2,6,3,3,18,18,
6,9,12,48,30,2,3,1,1,4,3,3,6,12,6,6,6,12,9,9,9,9,15,15,24,1,6,3,6,6,3,3,3,1],[
1,10,9,2,3,3,18,9,6,6,1,6,9,3,6,6,1,3,3,1],[1,10,9,2,3,3,18,6,9,6,1,6,9,3,6,6,
1,3,3,1],[1,4,15,5,15,15,6,6,1,15,3,6,6,1,3,3,1],[1,4,15,5,15,15,6,6,1,15,3,6,
6,1,3,3,1],[1,6,13,2,3,2,2,2,3,18,9,4,2,1,6,9,2,1,2,2,2,2,2,2,1,1,1,1,1,1,1,
1],[1,6,13,2,3,2,2,3,2,18,9,4,2,1,6,9,2,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,2,
17,1,2,2,8,2,8,3,2,2,10,1,4,2,1,2,2,2,2,1,2,2,2,2,1,2,2,2,2,2,2,1,1,1,1,1,1,1,
1],[1,2,17,1,2,2,8,2,8,3,2,2,10,1,4,2,1,2,2,2,2,1,2,2,2,2,1,2,2,2,2,2,2,1,1,1,
1,1,1,1,1],[1,2,17,2,1,8,2,8,2,2,3,2,10,1,4,2,2,1,2,2,2,1,2,2,2,2,1,2,2,2,2,2,
2,1,1,1,1,1,1,1,1],[1,2,17,2,1,8,2,8,2,2,3,2,10,1,4,2,2,1,2,2,2,1,2,2,2,2,1,2,
2,2,2,2,2,1,1,1,1,1,1,1,1],[1,2,17,1,2,2,8,2,8,3,2,2,10,1,6,1,2,2,2,2,1,2,2,2,
3,2,2,2,2,2,2,1,1,1,1,2,1,1],[1,2,17,2,1,8,2,8,2,2,3,2,10,1,6,2,1,2,2,2,1,2,2,
2,3,2,2,2,2,2,2,1,1,1,1,2,1,1],[1,4,15,1,5,2,5,2,2,2,4,12,6,2,4,1,1,2,2,2,2,2,
4,1,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,4,15,1,5,2,5,2,2,2,4,12,6,2,4,1,1,2,2,2,
2,2,4,1,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,4,15,1,2,5,2,5,2,2,4,12,6,2,4,1,1,2,
2,2,2,2,4,1,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,4,15,1,2,5,2,5,2,2,4,12,6,2,4,1,
1,2,2,2,2,2,4,1,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,8,11,1,5,5,2,4,12,6,6,2,4,1,
1,2,2,2,2,2,4,1,2,4,2,2,4,1,2,1,1,1,1,1],[1,8,11,1,5,5,2,4,12,6,6,2,4,1,1,2,2,
2,2,2,4,1,2,4,2,2,4,1,2,1,1,1,1,1],[1,6,13,1,2,8,8,3,2,10,6,1,4,2,1,2,2,2,2,1,
2,2,2,2,1,2,4,4,2,1,1,2,1,1,1,1],[1,6,13,2,1,8,8,3,2,10,1,6,4,2,1,2,2,2,2,1,2,
2,2,2,1,2,4,4,2,1,1,2,1,1,1,1],[1,19,5,2,15,2,15,2,2,4,1,15,1,2,2,2,2,2,2,2,1,
1,1,1,1,1,1,1],[1,19,5,15,2,15,2,2,2,4,1,15,1,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[
1,4,15,1,5,2,5,2,2,2,4,12,6,6,1,1,2,2,2,2,2,4,3,2,2,2,2,2,2,1,1,1,1,1,2,1],[1,
4,15,1,2,5,2,5,2,2,4,12,6,6,1,1,2,2,2,2,2,4,3,2,2,2,2,2,2,1,1,1,1,1,2,1],[1,3,
3,9,1,1,9,3,3,9,9,4,4,3,3,9,2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,2,2,2,2,1],[1,1,5,
17,6,1,1,2,8,2,8,4,2,5,2,8,4,10,4,1,2,2,2,1,2,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,
4,1,1,1,2,2,2,2,4,1],[1,1,5,17,6,1,1,8,2,8,2,2,4,5,2,4,8,10,4,1,2,2,2,2,1,1,2,
2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,1,1,21,10,1,1,8,8,8,8,4,4,
1,2,4,4,4,2,2,2,2,2,2,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,1,
9,13,2,1,1,2,2,2,2,2,2,9,2,8,8,10,10,4,1,1,2,2,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,
2,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,1,3,19,8,1,1,7,8,3,8,4,1,3,2,10,4,3,2,2,2,2,1,
2,1,2,2,2,1,2,1,2,2,1,1,2,1,2,1,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,
1],[1,1,3,19,8,1,1,3,8,7,8,4,1,3,2,10,4,3,2,2,1,2,2,2,1,2,2,2,1,2,1,1,2,2,2,1,
1,2,1,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,3,19,8,1,1,8,3,8,7,
1,4,3,2,4,10,3,2,2,2,1,2,2,1,2,2,2,2,1,1,2,1,2,2,1,1,2,1,1,2,2,2,2,2,2,2,2,2,
2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,3,19,8,1,1,8,7,8,3,1,4,3,2,4,10,3,2,2,2,1,2,2,
1,2,2,2,2,1,1,2,1,2,1,2,1,2,1,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[
1,1,7,15,4,1,1,2,3,2,7,1,2,7,2,8,10,10,3,2,2,1,1,2,1,1,2,2,1,1,2,1,2,2,1,2,2,
1,2,2,1,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,7,15,4,1,1,2,7,2,
3,1,2,7,2,8,10,10,3,2,2,1,1,2,1,1,2,2,1,1,2,1,1,2,2,2,1,2,2,2,1,1,2,2,2,2,2,2,
2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,7,15,4,1,1,3,2,7,2,2,1,7,2,10,8,3,10,2,
2,1,1,2,1,1,2,2,1,2,1,1,2,2,2,1,2,1,2,2,1,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,
2,2,2,2,1],[1,1,7,15,4,1,1,7,2,3,2,2,1,7,2,10,8,3,10,2,2,1,1,2,1,1,2,2,1,2,1,
1,2,1,2,2,2,2,1,2,1,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,3,5,15,
1,15,3,3,3,3,1,1,15,6,6,3,3,2,2,5,1,1,1,1,1,1,3,3,3,3,3,3,1,1,2,2,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,7,15,1,4,3,3,3,3,1,
1,7,3,10,10,7,7,2,2,1,1,1,1,1,2,2,1,1,1,1,2,2,2,2,1,1,1,1,2,2,1,1,2,2,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,3,3,1,3,3,6,6,1,
3,3,6,6,3,1],[1,3,1,3,1,3,3,6,6,1,3,3,6,6,3,1],[1,1,3,11,4,1,1,7,3,1,3,2,10,3,
6,2,1,1,2,2,1,1,1,1,2,1,2,3,2,1,2,2,2,1,1,1,1,1,1,1,1],[1,1,3,11,4,1,1,3,7,1,
3,2,10,3,6,2,1,1,2,2,1,1,1,2,1,1,2,3,2,1,2,2,2,1,1,1,1,1,1,1,1],[1,1,3,11,4,1,
1,7,3,1,3,2,10,3,6,2,1,1,2,2,1,1,1,1,2,1,2,2,3,1,2,2,2,1,1,1,1,1,1,1,1],[1,1,
3,11,4,1,1,3,7,1,3,2,10,3,6,2,1,1,2,2,1,1,1,2,1,1,2,2,3,1,2,2,2,1,1,1,1,1,1,1,
1],[1,1,3,11,4,1,1,7,3,1,3,2,10,3,2,6,1,1,2,2,1,1,1,1,2,1,2,1,3,2,2,2,2,1,1,1,
1,1,1,1,1],[1,1,3,11,4,1,1,3,7,1,3,2,10,3,2,6,1,1,2,2,1,1,1,2,1,1,2,1,3,2,2,2,
2,1,1,1,1,1,1,1,1],[1,1,3,11,4,1,1,7,3,1,3,2,10,3,2,6,1,1,2,2,1,1,1,1,2,1,2,1,
2,3,2,2,2,1,1,1,1,1,1,1,1],[1,1,3,11,4,1,1,3,7,1,3,2,10,3,2,6,1,1,2,2,1,1,1,2,
1,1,2,1,2,3,2,2,2,1,1,1,1,1,1,1,1],[1,1,5,9,2,1,1,2,2,2,5,2,8,10,4,4,1,2,1,1,
2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,5,9,2,1,1,2,2,2,5,2,8,10,4,4,1,2,
1,1,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,1,13,6,1,1,8,8,4,1,2,4,4,4,2,
2,2,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,1,13,6,1,1,8,8,4,1,2,4,4,4,2,
2,2,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,4,1,12,1,4,3,1],[1,1,18,4,9,4,
24,1,12,2,1,1],[1,1,9,9,4,9,4,12,12,1,12,1,1,1,1],[1,3,1,12,1,3,4,3,1,1],[1,3,
1,12,1,3,4,3,1,1],[1,3,4,9,1,3,4,1,1,1,1,1],[1,9,4,9,12,1,1,1],[1,9,4,9,12,1,
1,1],[1,3,5,15,1,15,15,1,5,1,3,3,1,3,3,1],[1,1,7,7,1,1,1,1],[1,6,9,16,2,3,3,
18,9,6,9,8,12,1,1],[1,6,9,16,2,3,3,18,9,6,9,8,12,1,1],[1,3,3,9,16,1,1,9,3,3,9,
9,3,3,9,4,4,12,1,1],[1,3,3,9,16,1,1,9,3,3,9,9,3,3,9,4,4,12,1,1],[1,15,16,5,15,
15,15,20,1,1],[1,15,16,5,15,15,15,20,1,1],[1,6,9,16,2,3,3,18,9,6,9,8,12,1,1],[
1,6,9,16,2,3,3,18,9,6,9,8,12,1,1],[1,3,3,9,4,1,1,9,3,3,9,9,12,3,3,9,1,4,1,3,
1],[1,6,9,4,2,3,3,18,9,12,6,9,1,4,1,3,1],[1,6,9,4,2,3,3,18,9,12,6,9,1,4,1,3,
1],[1,6,9,4,1,1,3,3,3,12,12,12,1,3,1,1,3,3,3,1,4,1,1,1,1,1],[1,6,9,4,1,1,3,3,
3,12,12,12,1,3,1,1,3,3,3,1,4,1,1,1,1,1],[1,3,3,9,4,1,1,9,3,3,9,9,12,3,3,9,1,4,
1,3,1],[1,3,3,9,4,1,9,3,3,1,9,6,3,12,3,1,1,1,3,3,3,1,4,1,1,1,1,1],[1,3,3,9,4,
1,9,3,3,1,9,6,3,12,3,1,1,1,3,3,3,1,4,1,1,1,1,1],[1,1,9,9,4,1,3,9,9,3,6,4,4,4,
1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,9,9,4,3,1,9,3,9,6,4,4,4,3,1,3,3,3,3,3,1,4,3,
1,1,1,1],[1,1,6,12,4,3,3,3,1,6,6,3,3,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,
1,6,12,4,3,3,3,1,6,6,3,3,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,6,12,4,3,3,
3,1,6,6,3,3,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,6,12,4,3,3,3,1,6,6,3,3,
3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,18,4,9,9,3,1,3,3,3,4,8,1,3,3,3,3,3,
3,1,4,3,1,1,1,1],[1,1,18,4,9,3,9,3,1,3,3,4,8,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,
1,18,4,9,9,3,1,3,3,3,4,8,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,18,4,9,3,9,3,1,3,3,
4,8,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,3,15,4,6,3,3,1,3,6,3,6,4,8,1,3,3,3,3,3,
3,1,4,3,1,1,1,1],[1,1,3,15,4,6,3,3,1,3,6,3,6,4,8,1,3,3,3,3,3,3,1,4,3,1,1,1,
1],[1,9,4,3,6,9,12,1,1,2,1,3,1,1],[1,15,10,5,6,10,6,5,1],[1,15,10,5,6,10,6,5,
1],[1,15,10,5,6,10,6,5,1],[1,3,4,1,1,3,1,4,1,1],[1,7,15,1,7,1,1,1,1,1],[1,3,
15,45,1,5,45,15,15,90,90,30,45,45,180,90,15,15,15,30,30,30,45,45,90,60,60,60,
90,90,90,90,90,90,90,90,180,5,6,10,60,30,45,45,90,90,90,90,90,15,18,30,1],[1,
3,15,45,1,5,45,15,15,90,90,30,45,45,180,90,15,15,15,30,30,30,45,45,90,60,60,
60,90,90,90,90,90,90,90,90,180,5,6,10,60,30,45,45,90,90,90,90,90,15,18,30,1],[
1,3,3,9,1,1,9,3,3,9,9,12,12,3,3,9,6,6,6,6,6,6,12,12,12,12,1,3,3,6,6,6,6,6,6,3,
4,1],[1,3,3,9,1,1,9,3,3,9,9,12,12,3,3,9,6,6,6,6,6,6,12,12,12,12,1,3,3,6,6,6,6,
6,6,3,4,1],[1,3,7,21,1,1,21,3,3,18,18,6,21,9,36,18,8,8,3,1,7,6,6,6,3,9,18,4,4,
4,6,6,6,6,18,18,6,6,12,4,4,4,4,4,4,8,8,8,8,1,6,3,3,6,6,6,2,2,4,4,4,4,4,4,2,2,
2,2,2,2,2,2,1,2,2,2,2,2,2,2,1],[1,3,7,21,1,1,21,3,3,18,18,6,21,9,36,18,8,8,3,
1,7,6,6,6,3,9,18,4,4,4,6,6,6,6,18,18,6,6,12,4,4,4,4,4,4,8,8,8,8,1,6,3,3,6,6,6,
2,2,4,4,4,4,4,4,2,2,2,2,2,2,2,2,1,2,2,2,2,2,2,2,1],[1,3,11,33,1,1,33,3,3,18,
18,18,18,6,6,33,9,36,36,18,18,4,4,3,1,1,11,6,6,6,6,6,6,3,3,9,18,18,4,4,4,4,4,
4,6,6,6,6,6,6,6,6,18,18,18,18,6,6,6,6,12,12,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,1,6,6,3,3,3,3,6,6,6,6,6,6,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,2,
2,2,2,4,4,1],[1,1,9,29,10,5,5,2,30,2,30,10,2,9,10,8,40,10,10,8,4,1,5,5,2,1,10,
5,10,10,10,20,10,2,15,15,5,2,5,2,5,2,5,2,20,2,4,2,2,2,2,2,2,4,4,2,4,2,2,2,2,2,
8,2,8,2,4,1,1,5,5,5,5,10,1,1,1,2,1,1,2,2,1,1,2,4,2,2,2,2,2,2,2,2,4,3,1,1,2,2,
1,2,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1],[1,1,9,29,10,5,5,30,2,30,2,2,10,9,10,40,8,
10,10,8,4,1,5,5,2,10,1,5,10,10,10,20,2,10,15,15,2,5,2,5,2,5,2,5,20,4,2,2,2,2,
2,2,2,4,2,4,2,4,2,2,2,2,2,8,2,8,4,1,1,5,5,5,5,10,1,1,1,2,2,2,1,1,1,1,2,4,2,2,
2,2,2,2,2,2,4,3,1,1,2,2,1,2,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1],[1,1,5,33,14,5,5,8,
30,8,30,10,4,5,10,4,40,10,4,8,2,5,5,2,2,10,5,2,10,10,10,2,20,10,2,15,15,2,5,5,
5,5,20,2,2,4,2,2,2,2,2,4,2,4,2,6,6,6,6,2,2,4,4,1,1,5,5,5,5,10,1,1,1,1,1,3,3,2,
2,2,2,2,2,2,2,2,2,4,2,2,1,1,1,2,2,3,2,1,1,1,2,1,1,2,1,1,1,1,1,1,1],[1,1,5,33,
14,5,5,30,8,30,8,4,10,5,10,40,4,10,4,8,5,2,2,5,10,2,5,10,2,10,10,20,2,10,15,2,
2,15,5,5,5,5,20,2,4,2,2,2,2,2,2,2,4,2,4,6,6,6,6,2,2,4,4,1,5,1,5,5,5,10,1,1,1,
1,1,2,2,3,3,2,2,2,2,2,2,2,2,4,2,2,1,1,1,2,2,3,2,1,1,1,2,1,1,2,1,1,1,1,1,1,1],[
1,1,9,29,2,10,3,3,18,8,18,8,4,6,9,12,48,4,30,8,4,2,3,1,2,2,1,4,3,2,3,6,2,12,6,
6,6,2,12,9,2,2,9,9,9,15,15,24,4,2,2,2,2,2,2,2,6,4,6,4,2,2,2,2,6,6,4,4,1,6,3,1,
6,6,3,3,3,1,1,1,3,3,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,1,1,3,1,1,2,1,1,1,1,2,
1,1,1,1,1,1,1],[1,1,9,29,2,10,3,3,8,18,8,18,6,4,9,12,4,48,30,8,4,2,3,2,1,1,2,
4,2,3,3,2,6,12,6,6,2,6,12,2,9,9,2,9,9,15,15,24,2,4,2,2,2,2,2,2,4,6,4,6,2,2,2,
2,6,6,4,4,1,6,3,1,6,6,3,3,3,1,1,1,3,3,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,1,1,
3,1,1,2,1,1,1,1,2,1,1,1,1,1,1,1],[1,1,13,25,2,6,3,3,2,18,2,18,6,2,13,12,8,48,
10,30,4,8,2,3,1,1,1,4,2,1,3,3,6,12,6,6,6,12,2,9,9,9,2,9,2,15,2,15,2,24,2,2,4,
2,2,2,2,2,8,2,2,2,2,2,2,4,2,4,2,8,4,4,1,6,1,3,6,6,3,3,3,1,1,1,4,2,1,1,1,1,2,2,
2,2,2,2,2,2,2,4,2,2,2,2,1,1,2,1,3,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1],[1,1,13,25,2,
6,3,3,18,2,18,2,2,6,13,12,48,8,30,10,4,8,2,1,3,1,1,2,4,3,1,3,6,12,6,6,6,2,12,
9,9,2,9,2,9,2,15,2,15,24,2,4,2,2,2,2,2,2,8,2,2,2,2,2,2,2,4,2,4,4,8,4,1,6,3,1,
6,6,3,3,3,1,1,1,2,4,1,1,1,1,2,2,2,2,2,2,2,2,2,4,2,2,2,2,1,1,2,1,3,1,1,1,1,1,1,
2,1,1,1,1,1,1,1,1],[1,3,9,27,4,1,27,27,12,12,36,9,1,4,36,36,1,3,3,12,1,3,3,
1],[1,1,9,9,4,9,18,4,12,12,9,1,12,1,1,1,1,2,1],[1,1,9,9,4,9,18,4,12,12,9,1,12,
1,1,1,1,2,1],[1,1,18,4,9,9,9,4,24,9,1,12,2,1,1,1,1,1],[1,1,18,4,9,9,9,4,24,9,
1,12,2,1,1,1,1,1],[1,3,3,9,1,12,1,9,9,3,12,1,3,3,4,3,1,3,3,4,3,1,1,1],[1,15,5,
15,15,16,15,1,1],[1,15,5,15,15,16,15,1,1],[1,3,7,1,21,1,7,3,1,1,3,1],[1,3,28,
1,1,7,3,4,1,1],[1,3,28,1,1,7,3,4,1,1],[1,3,4,1,1,1,3,4,1,1],[1,18,9,16,2,3,3,
18,9,18,18,16,3,6,9,9,18,18,8,12,1,9,9,12,3,1,1],[1,18,9,16,2,3,3,18,18,9,18,
16,3,6,9,9,18,18,8,12,1,9,9,12,3,1,1],[1,6,21,16,2,3,6,6,3,6,18,9,12,6,16,3,6,
9,6,3,6,6,6,6,6,6,8,12,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,6,21,16,2,3,6,6,6,3,18,9,
12,6,16,3,6,9,6,3,6,6,6,6,6,6,8,12,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,1,9,21,16,2,
6,3,3,18,18,6,9,12,48,30,16,2,3,1,1,4,3,3,6,12,6,6,6,12,9,9,9,9,15,15,24,8,12,
1,6,3,6,6,3,3,3,4,4,4,8,1,1,1],[1,1,9,21,16,2,6,3,3,18,18,6,9,12,48,30,16,2,3,
1,1,4,3,3,6,12,6,6,6,12,9,9,9,9,15,15,24,8,12,1,6,3,6,6,3,3,3,4,4,4,8,1,1,1],[
1,3,7,21,16,1,1,21,3,3,18,18,6,21,9,36,18,16,3,1,7,6,6,6,3,9,18,4,4,4,6,6,6,6,
18,18,6,6,12,4,4,12,1,6,3,3,6,6,6,4,4,4,4,4,1,1,1],[1,3,7,21,16,1,1,21,3,3,18,
18,6,21,9,36,18,16,3,1,7,6,6,6,3,9,18,4,4,4,6,6,6,6,18,18,6,6,12,4,4,12,1,6,3,
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],[1,3,9,27,4,1,27,3,9,3,9,3,1,27,6,18,3,
9,6,6,12,4,12,9,1,3,3,1,3,1,3,9,9,3,9,3,3,3,6,6,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
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],[
1,3,9,27,4,1,27,9,3,9,3,1,3,27,18,6,9,3,6,6,12,4,12,9,3,1,1,3,1,3,9,3,3,9,3,9,
3,3,6,6,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,4,12,12,3,1,3,3,3,3,3,3,3,3,3,3,3,3,
3,1,1,1,1,1,1,1,4,3,1,1,1,1,1,1,1,1],[1,10,9,16,2,3,3,18,6,9,6,16,1,6,9,3,6,6,
8,12,1,3,3,4,1,1,1],[1,10,9,16,2,3,3,18,9,6,6,16,1,6,9,3,6,6,8,12,1,3,3,4,1,1,
1],[1,4,15,16,5,15,15,6,6,16,1,15,3,6,6,20,1,3,3,4,1,1,1],[1,4,15,16,5,15,15,
6,6,16,1,15,3,6,6,20,1,3,3,4,1,1,1],[1,3,4,12,24,1,12,1,4,8,3,6,4,3,4,1,1,2,
1],[1,1,30,10,15,15,5,6,10,20,5,12,6,5,10,6,5,1,1],[1,1,30,10,15,15,5,6,10,20,
5,12,6,5,10,6,5,1,1],[1,1,30,10,15,15,5,6,10,20,5,12,6,5,10,6,5,1,1],[1,1,30,
10,15,15,5,6,10,20,5,12,6,5,10,6,5,1,1],[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,
15,15,10,5,15,15,6,10,10,10,5,6,6,6,5,10,6,5,1,1],[1,3,5,15,4,1,15,15,1,20,5,
1,3,3,1,4,1,3,3,5,4,1,1,1],[1,3,19,57,1,5,57,15,15,90,18,90,18,6,30,57,45,180,
36,90,18,12,12,15,1,15,19,30,6,6,30,6,30,45,3,45,90,18,4,60,60,60,4,4,90,6,6,
90,90,6,6,90,18,90,18,90,6,90,6,90,12,180,6,6,6,6,6,6,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,5,6,10,60,30,6,45,3,45,3,90,90,6,90,90,6,
6,90,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,6,6,6,6,6,6,6,6,15,1,18,30,2,2,6,6,6,6,6,
6,6,6,6,6,3,3,3,3,3,6,6,6,6,6,6,6,6,12,12,6,6,6,6,6,6,1,3,3,6,6,6,6,1],[1,3,
19,57,1,5,57,15,15,18,90,18,90,30,6,57,45,36,180,18,90,12,12,15,15,1,19,6,30,
30,6,30,6,3,45,45,18,90,60,4,4,4,60,60,6,90,90,6,6,90,90,6,90,18,90,18,90,6,
90,6,180,12,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,5,6,10,60,6,30,3,45,3,45,90,6,90,6,6,90,90,90,3,3,6,6,6,6,6,6,6,6,6,6,6,
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,
12,12,6,6,6,6,6,6,6,6,1,15,18,30,2,2,6,6,6,6,6,6,6,6,6,6,3,3,3,3,3,6,6,6,6,6,
6,6,6,12,12,6,6,6,6,6,6,1,3,3,6,6,6,6,1],[1,3,11,33,1,1,33,3,3,18,18,18,18,6,
6,33,9,36,36,18,18,20,20,3,1,1,11,6,6,6,6,6,6,3,3,9,18,18,4,4,4,4,4,4,6,6,6,6,
6,6,6,6,18,18,18,18,6,6,6,6,12,12,10,10,10,10,10,10,20,20,20,20,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,1,6,6,3,3,3,3,6,6,6,6,6,6,5,5,10,10,10,10,10,10,2,2,2,2,2,2,
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,
4,4,4,4,4,4,4,1,1,5,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,
1,2,2,1,1],[1,6,9,16,24,2,3,3,18,9,24,6,9,16,2,8,8,12,12,8,1,6,8,1,1,2,1],[1,
6,9,16,24,2,3,3,18,9,24,6,9,16,8,2,8,12,12,8,1,6,8,1,1,2,1],[1,3,3,9,4,36,1,1,
9,3,3,9,9,12,12,3,3,9,16,9,4,4,1,12,12,4,4,1,3,3,4,4,1,1,1,1,1],[1,3,9,27,4,1,
27,27,18,18,12,12,36,9,9,9,18,18,1,4,36,36,9,1,3,3,12,1,3,3,2,2,1,1,1,2,2,1],[
1,20,15,5,15,15,30,30,16,5,15,15,30,30,16,1,15,15,5,1,1],[1,20,15,5,15,15,30,
30,16,5,15,15,30,30,16,1,15,15,5,1,1],[1,35,5,15,10,15,10,10,10,20,16,5,15,5,
10,10,10,10,10,10,10,16,1,5,5,5,5,5,5,5,1,1],[1,35,5,10,15,10,15,10,10,20,16,
5,15,5,10,10,10,10,10,10,10,16,1,5,5,5,5,5,5,5,1,1],[1,1,5,25,10,5,5,30,30,10,
5,10,40,10,16,5,5,10,5,10,10,10,20,10,15,15,5,5,5,5,20,16,1,5,5,5,5,10,1,1,
1],[1,1,5,25,10,5,5,30,30,10,5,10,40,10,16,5,5,10,5,10,10,10,20,10,15,15,5,5,
5,5,20,16,1,5,5,5,5,10,1,1,1],[1,21,28,7,7,21,28,8,21,7,7,8,7,7,1],[1,15,10,
21,5,6,15,10,10,6,5,5,5,5,6,10,6,5,1,1],[1,3,15,45,64,1,5,45,15,15,90,90,30,
45,45,180,90,15,15,15,30,30,30,45,45,90,60,60,60,90,90,90,90,90,90,90,90,180,
16,80,240,5,6,10,60,30,45,45,90,90,90,90,90,15,18,30,20,24,40,1,1],[1,3,15,45,
64,1,5,45,15,15,90,90,30,45,45,180,90,15,15,15,30,30,30,45,45,90,60,60,60,90,
90,90,90,90,90,90,90,180,16,80,240,5,6,10,60,30,45,45,90,90,90,90,90,15,18,30,
20,24,40,1,1],[1,3,15,45,16,1,5,45,15,15,90,90,30,45,45,180,90,48,15,15,15,30,
30,30,45,45,90,60,60,60,90,90,90,90,90,90,90,90,180,8,12,16,5,6,10,60,30,45,
45,90,90,90,90,90,12,12,12,24,15,18,30,1,8,12,1,3,1],[1,3,15,45,16,1,5,45,15,
15,90,90,30,45,45,180,90,48,15,15,15,30,30,30,45,45,90,60,60,60,90,90,90,90,
90,90,90,90,180,8,12,16,5,6,10,60,30,45,45,90,90,90,90,90,12,12,12,24,15,18,
30,1,8,12,1,3,1],[1,3,15,45,16,1,5,45,15,15,90,90,30,45,45,180,90,48,15,15,15,
30,30,30,45,45,90,60,60,60,90,90,90,90,90,90,90,90,180,4,4,12,16,5,6,10,60,30,
45,45,90,90,90,90,90,12,12,12,12,12,15,18,30,1,4,12,4,1,3,1],[1,3,15,45,16,1,
5,45,15,15,90,90,30,45,45,180,90,48,15,15,15,30,30,30,45,45,90,60,60,60,90,90,
90,90,90,90,90,90,180,4,4,12,16,5,6,10,60,30,45,45,90,90,90,90,90,12,12,12,12,
12,15,18,30,1,4,12,4,1,3,1],[1,1,21,33,16,2,6,3,3,18,6,18,6,6,6,21,12,48,24,
30,30,12,24,16,16,16,2,3,3,1,1,6,4,3,3,3,6,12,6,6,6,6,12,9,9,6,9,6,9,6,15,6,
15,24,6,12,6,6,6,6,6,6,24,6,6,6,6,6,6,6,12,6,12,12,24,12,8,12,16,1,6,3,3,6,6,
3,3,3,3,3,3,6,12,3,3,3,3,6,6,6,6,6,6,6,6,6,12,6,6,6,6,3,3,6,3,9,4,4,4,12,4,4,
4,8,1,3,3,3,3,3,6,3,3,3,3,3,3,3,1,4,4,4,3,1,1,1,1],[1,1,21,33,16,2,6,3,3,6,18,
6,18,6,6,21,12,24,48,30,30,12,24,16,16,16,2,3,3,1,1,4,6,3,3,3,6,12,6,6,6,12,6,
9,9,9,6,9,6,15,6,15,6,24,6,6,12,6,6,6,6,6,24,6,6,6,6,6,6,12,6,12,6,24,12,12,8,
12,16,1,6,3,3,6,6,3,3,3,3,3,3,12,6,3,3,3,3,6,6,6,6,6,6,6,6,6,12,6,6,6,6,3,3,6,
3,9,4,4,4,12,4,4,4,8,1,3,3,3,3,3,6,3,3,3,3,3,3,3,1,4,4,4,3,1,1,1,1],[1,1,9,45,
16,2,18,3,3,24,18,24,18,6,12,9,12,12,48,30,24,12,16,32,2,3,6,1,1,6,4,6,3,3,6,
6,12,6,6,6,6,12,6,9,9,6,9,9,15,15,24,6,12,6,6,6,6,6,6,12,18,12,18,6,6,6,6,18,
18,12,12,8,12,16,1,6,3,3,6,6,3,3,3,3,3,3,9,9,3,3,6,6,6,6,6,6,6,6,6,6,6,6,12,6,
6,6,3,3,9,3,8,8,8,4,4,4,8,1,6,3,3,3,3,6,3,3,3,3,3,3,1,4,4,4,3,2,1,1],[1,1,9,
45,16,2,18,3,3,18,24,18,24,12,6,9,12,48,12,30,24,12,16,32,2,3,1,6,6,1,4,3,6,3,
6,6,12,6,6,6,6,12,9,6,6,9,9,9,15,15,24,12,6,6,6,6,6,6,6,18,12,18,12,6,6,6,6,
18,18,12,12,8,12,16,1,6,3,3,6,6,3,3,3,3,3,3,9,9,3,3,6,6,6,6,6,6,6,6,6,6,6,6,
12,6,6,6,3,3,9,3,8,8,8,4,4,4,8,1,6,3,3,3,3,6,3,3,3,3,3,3,1,4,4,4,3,2,1,1],[1,
3,3,9,16,1,1,9,3,3,9,9,12,12,48,3,3,9,6,6,6,6,6,6,12,12,12,12,4,16,1,3,3,6,6,
6,6,6,6,12,3,4,4,1,1,1],[1,3,3,9,16,1,1,9,3,3,9,9,12,12,48,3,3,9,6,6,6,6,6,6,
12,12,12,12,4,16,1,3,3,6,6,6,6,6,6,12,3,4,4,1,1,1],[1,3,9,27,4,12,24,1,27,27,
12,36,12,36,9,1,4,8,3,6,4,36,36,1,3,3,12,9,12,4,1,3,3,1,2,4,1,3,1,1],[1,3,15,
45,10,1,5,45,15,15,45,45,6,30,10,30,15,15,45,6,18,18,5,10,30,30,5,6,18,18,15,
10,6,5,1,3,1],[1,3,15,45,10,1,45,15,15,5,45,30,15,6,30,10,30,15,5,5,5,15,15,
15,6,18,18,5,10,30,30,5,6,18,18,5,5,5,10,6,5,1,1,1,1,1],[1,3,15,45,10,1,45,15,
15,5,45,30,15,6,30,10,30,15,5,5,5,15,15,15,6,18,18,5,10,30,30,5,6,18,18,5,5,5,
10,6,5,1,1,1,1,1],[1,15,16,5,15,15,16,15,20,16,1,1,1,1],[1,15,16,5,15,15,16,
15,20,16,1,1,1,1],[1,3,7,60,1,21,1,28,15,7,3,1,4,4,4,1,7,3,4,1,1,1,1,1],[1,3,
27,81,1,9,81,27,27,90,90,90,90,30,30,81,81,180,180,90,90,36,36,27,15,15,27,30,
30,30,30,30,30,45,45,81,90,90,60,60,60,60,60,60,90,90,90,90,90,90,90,90,90,90,
90,90,90,90,90,90,180,180,18,18,18,18,18,18,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,9,6,6,10,10,60,60,30,30,45,45,45,45,90,90,90,90,90,
90,90,90,90,90,9,9,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,15,15,18,18,30,30,6,6,6,6,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,9,9,9,9,9,18,18,18,18,18,18,
18,18,36,36,12,12,18,18,18,18,18,18,18,18,18,18,18,18,1,1,3,3,9,9,9,18,18,18,
18,18,18,18,18,3,3,9,1],[1,3,9,27,4,1,27,27,54,54,12,12,36,9,27,27,54,54,1,4,
36,36,27,1,3,3,12,9,1,3,3,6,6,1,3,3,6,6,3,1],[1,18,9,16,24,2,3,3,18,18,9,18,
72,16,3,6,9,9,18,18,16,2,8,8,12,12,8,1,9,9,16,12,6,12,3,8,1,1,2,1,3,1,1],[1,
18,9,16,24,2,3,3,18,9,18,18,72,16,3,6,9,9,18,18,16,8,2,8,12,12,8,1,9,9,16,12,
6,12,3,8,1,1,2,1,3,1,1],[1,3,15,45,1,5,45,15,15,90,90,30,45,45,180,90,16,15,
15,15,30,30,30,45,45,90,60,60,60,90,90,90,90,90,90,90,90,180,48,5,6,10,60,30,
45,45,90,90,90,90,90,16,15,18,30,1,1,3,1],[1,3,15,45,1,5,45,15,15,90,90,30,45,
45,180,90,16,15,15,15,30,30,30,45,45,90,60,60,60,90,90,90,90,90,90,90,90,180,
48,5,6,10,60,30,45,45,90,90,90,90,90,16,15,18,30,1,1,3,1],[1,1,25,45,10,5,5,
10,30,10,30,10,10,25,10,40,40,50,10,40,20,16,5,5,5,10,5,10,5,10,10,10,20,10,
10,15,15,5,10,5,10,5,10,5,10,20,10,20,10,10,10,10,10,10,20,20,10,20,10,10,10,
10,10,40,10,40,10,20,16,16,16,1,5,5,5,5,5,10,5,5,5,10,5,5,10,10,5,5,10,20,10,
10,10,10,10,10,10,10,20,15,5,5,10,10,5,10,16,1,5,5,5,5,10,5,5,5,5,5,5,5,5,5,1,
1,1,1,1],[1,1,25,45,10,5,5,30,10,30,10,10,10,25,10,40,40,10,50,40,20,16,5,5,5,
10,10,5,5,10,10,10,20,10,10,15,15,10,5,10,5,10,5,10,5,20,20,10,10,10,10,10,10,
10,20,10,20,10,20,10,10,10,10,10,40,10,40,20,16,16,16,1,5,5,5,5,5,10,5,5,5,10,
10,10,5,5,5,5,10,20,10,10,10,10,10,10,10,10,20,15,5,5,10,10,5,10,16,1,5,5,5,5,
10,5,5,5,5,5,5,5,5,5,1,1,1,1,1],[1,1,5,65,30,5,5,30,40,30,40,20,10,5,10,40,20,
10,20,40,16,5,10,10,5,10,10,5,10,10,10,10,20,10,10,15,10,10,15,5,5,5,5,20,10,
20,10,10,10,10,10,10,10,20,10,20,30,30,30,30,10,10,20,20,32,16,1,5,5,5,5,5,10,
5,5,5,5,5,10,10,15,15,10,10,10,10,10,10,10,10,20,10,10,5,5,5,10,10,15,10,16,1,
5,5,10,5,5,10,5,5,5,5,5,5,5,1,2,1,1],[1,1,5,65,30,5,5,40,30,40,30,10,20,5,10,
20,40,10,20,40,16,10,5,5,10,10,10,5,10,10,10,10,10,20,10,10,15,15,10,5,5,5,5,
20,10,10,20,10,10,10,10,10,20,10,20,10,30,30,30,30,10,10,20,20,32,16,1,5,5,5,
5,5,10,5,5,5,5,5,15,15,10,10,10,10,10,10,10,10,10,10,20,10,10,5,5,5,10,10,15,
10,16,1,5,5,10,5,5,10,5,5,5,5,5,5,5,1,2,1,1],[1,1,21,21,28,7,7,21,21,21,42,28,
28,28,8,7,7,21,21,21,21,21,7,7,28,8,21,8,7,7,7,7,7,7,8,7,7,1,1],[1,1,42,28,21,
21,21,7,7,21,21,28,56,8,7,7,21,21,21,21,21,7,7,28,8,21,8,7,7,7,7,7,7,8,7,7,1,
1],[1,1,42,28,21,21,21,7,7,21,21,28,56,8,7,7,21,21,21,21,21,7,7,28,8,21,8,7,7,
7,7,7,7,8,7,7,1,1],[1,45,40,15,15,45,36,120,45,10,36,15,15,10,15,15,10,6,6,
1],[1,3,27,81,16,1,5,81,15,15,54,90,54,90,30,18,81,45,108,180,54,90,36,36,48,
16,48,15,15,3,27,18,30,30,18,30,18,9,45,45,54,90,60,12,12,12,60,60,18,90,90,
18,18,90,90,18,90,54,90,54,90,18,90,18,180,36,18,18,18,18,18,18,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,8,12,16,48,48,5,6,10,60,18,30,
9,45,9,45,90,18,90,18,18,90,90,90,9,9,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,18,18,18,18,18,18,18,18,12,12,12,12,12,12,12,24,16,3,15,18,30,6,6,18,
18,18,18,18,18,18,18,18,18,9,9,9,9,9,18,18,18,18,18,18,18,18,36,36,18,18,18,
18,18,18,1,8,12,12,12,12,12,12,12,1,9,9,18,18,18,18,1,3,3,12,3,1,3,3,1],[1,3,
27,81,16,1,5,81,15,15,90,54,90,54,18,30,81,45,180,108,90,54,36,36,48,16,48,15,
3,15,27,30,18,18,30,18,30,45,9,45,90,54,12,60,60,60,12,12,90,18,18,90,90,18,
18,90,54,90,54,90,18,90,18,90,36,180,18,18,18,18,18,18,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,8,12,16,48,48,5,6,10,60,30,18,45,9,45,
9,90,90,18,90,90,18,18,90,9,9,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
18,18,18,18,18,18,18,18,12,12,12,12,12,12,12,24,16,15,3,18,30,6,6,18,18,18,18,
18,18,18,18,18,18,9,9,9,9,9,18,18,18,18,18,18,18,18,36,36,18,18,18,18,18,18,1,
8,12,12,12,12,12,12,12,1,9,9,18,18,18,18,1,3,3,12,3,1,3,3,1],[1,3,19,57,64,1,
5,57,15,15,90,18,90,18,6,30,57,45,180,36,90,18,12,12,64,15,1,15,19,30,6,6,30,
6,30,45,3,45,90,18,4,60,60,60,4,4,90,6,6,90,90,6,6,90,18,90,18,90,6,90,6,90,
12,180,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,16,80,240,5,6,10,60,30,6,45,3,45,3,90,90,6,90,90,6,6,90,3,3,6,6,6,6,6,6,6,
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,
12,12,12,12,6,6,6,6,6,6,6,6,16,16,16,16,16,15,1,18,30,2,2,6,6,6,6,6,6,6,6,6,6,
3,3,3,3,3,6,6,6,6,6,6,6,6,12,12,6,6,6,6,6,6,20,24,40,1,3,3,6,6,6,6,4,8,8,1,1,
1],[1,3,19,57,64,1,5,57,15,15,18,90,18,90,30,6,57,45,36,180,18,90,12,12,64,15,
15,1,19,6,30,30,6,30,6,3,45,45,18,90,60,4,4,4,60,60,6,90,90,6,6,90,90,6,90,18,
90,18,90,6,90,6,180,12,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,16,80,240,5,6,10,60,6,30,3,45,3,45,90,6,90,6,6,90,90,90,3,3,
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,
12,12,12,12,12,12,12,12,12,6,6,6,6,6,6,6,6,16,16,16,16,16,1,15,18,30,2,2,6,6,
6,6,6,6,6,6,6,6,3,3,3,3,3,6,6,6,6,6,6,6,6,12,12,6,6,6,6,6,6,20,24,40,1,3,3,6,
6,6,6,4,8,8,1,1,1],[1,20,15,16,5,15,15,30,30,16,80,5,15,15,30,30,16,20,16,1,
15,15,20,16,5,1,1,5,1,1,1],[1,20,15,16,5,15,15,30,30,16,80,5,15,15,30,30,16,
20,16,1,15,15,20,16,5,1,1,5,1,1,1],[1,3,15,45,16,96,1,5,45,15,15,90,90,30,45,
45,180,90,48,96,15,15,15,30,30,30,45,45,90,60,60,60,90,90,90,90,90,90,90,90,
180,64,24,80,8,8,12,24,240,16,32,5,6,10,60,30,45,45,90,90,90,90,90,12,12,12,
24,24,24,24,24,24,15,18,30,16,32,1,2,20,24,40,8,8,24,8,12,1,3,6,4,8,1,1,2,1],[
1,3,15,45,16,96,1,5,45,15,15,90,90,30,45,45,180,90,48,96,15,15,15,30,30,30,45,
45,90,60,60,60,90,90,90,90,90,90,90,90,180,64,24,8,80,8,12,240,24,16,32,5,6,
10,60,30,45,45,90,90,90,90,90,12,12,12,24,24,24,24,24,24,15,18,30,16,32,1,20,
2,24,40,8,8,24,8,12,1,3,6,4,8,1,1,2,1],[1,3,35,105,1,5,105,15,15,90,90,90,90,
30,30,105,45,180,180,90,90,60,60,16,15,15,5,35,30,30,30,30,30,30,15,45,45,90,
90,60,20,20,20,60,60,30,90,90,30,30,90,90,30,90,90,90,90,90,30,90,30,180,60,
30,30,30,30,30,30,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,
16,48,48,5,6,10,60,30,30,15,45,15,45,90,30,90,30,30,90,90,90,15,15,30,30,30,
30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,60,60,60,60,60,60,60,
60,60,60,60,60,60,60,60,60,60,60,60,60,30,30,30,30,30,30,30,30,16,48,48,5,15,
18,30,10,10,30,30,30,30,30,30,30,30,30,30,15,15,15,15,15,30,30,30,30,30,30,30,
30,60,60,30,30,30,30,30,30,16,1,15,15,30,30,30,30,1,5,1,3,3,1,3,3,1],[1,3,35,
105,1,5,105,15,15,90,90,90,90,30,30,105,45,180,180,90,90,60,60,16,15,5,15,35,
30,30,30,30,30,30,45,15,45,90,90,20,60,60,60,20,20,90,30,30,90,90,30,30,90,90,
90,90,90,30,90,30,90,60,180,30,30,30,30,30,30,60,60,60,60,60,60,60,60,60,60,
60,60,60,60,60,60,60,60,60,60,16,48,48,5,6,10,60,30,30,45,15,45,15,90,90,30,
90,90,30,30,90,15,15,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,
30,30,30,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,30,30,30,
30,30,30,30,30,16,48,48,15,5,18,30,10,10,30,30,30,30,30,30,30,30,30,30,15,15,
15,15,15,30,30,30,30,30,30,30,30,60,60,30,30,30,30,30,30,16,1,15,15,30,30,30,
30,1,5,1,3,3,1,3,3,1],[1,3,21,63,28,1,63,21,21,21,21,7,7,63,42,42,21,21,42,42,
84,28,84,8,21,7,7,7,7,7,7,21,21,21,21,21,21,21,21,42,42,21,21,21,21,21,21,21,
21,21,21,21,21,21,21,21,21,7,7,28,84,84,24,7,7,21,21,21,21,21,21,21,21,21,21,
21,21,21,8,7,7,7,7,7,7,7,7,7,7,7,7,7,7,28,8,21,24,7,7,7,7,7,7,7,7,7,7,7,7,7,7,
8,7,7,1,1,1,1,1],[1,1,90,40,45,45,45,15,15,45,45,36,40,240,15,15,45,45,45,45,
45,10,72,36,15,15,120,45,20,10,36,15,15,15,15,15,15,10,10,10,15,15,6,6,10,6,6,
1,1],[1,1,90,40,45,45,45,15,15,45,45,36,40,240,15,15,45,45,45,45,45,10,72,36,
15,15,120,45,20,10,36,15,15,15,15,15,15,10,10,10,15,15,6,6,10,6,6,1,1],[1,1,
45,45,40,15,15,45,45,45,90,36,40,120,120,15,15,45,45,45,45,45,10,36,36,36,15,
15,120,45,10,10,10,36,15,15,15,15,15,15,10,20,15,15,6,6,10,6,6,1,1],[1,3,15,
45,10,84,1,5,45,15,15,45,45,6,30,60,10,30,15,15,45,40,6,18,18,21,20,20,5,60,
60,10,20,30,30,24,5,40,6,18,18,15,15,10,24,10,20,6,5,5,5,5,1,6,10,3,6,5,4,1,
1],[1,3,27,81,64,1,9,81,27,27,90,90,90,90,30,30,81,81,180,180,90,90,36,36,192,
27,15,15,27,30,30,30,30,30,30,45,45,81,90,90,60,60,60,60,60,60,90,90,90,90,90,
90,90,90,90,90,90,90,90,90,90,90,180,180,18,18,18,18,18,18,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,16,80,240,64,9,6,6,10,10,60,60,30,
30,45,45,45,45,90,90,90,90,90,90,90,90,90,90,9,9,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,48,48,48,
48,48,15,15,18,18,30,30,6,6,6,6,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,9,9,9,9,9,18,18,18,18,18,18,18,18,36,36,12,12,18,18,18,18,18,
18,18,18,18,18,18,18,20,24,40,16,48,16,1,1,3,3,9,9,9,18,18,18,18,18,18,18,18,
12,24,24,3,3,9,1,4,1,3,1],[1,3,27,81,64,1,9,81,27,27,90,90,90,90,30,30,81,81,
180,180,90,90,36,36,192,27,15,15,27,30,30,30,30,30,30,45,45,81,90,90,60,60,60,
60,60,60,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,180,180,18,18,18,18,
18,18,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,16,80,240,
64,9,6,6,10,10,60,60,30,30,45,45,45,45,90,90,90,90,90,90,90,90,90,90,9,9,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,48,48,48,48,48,15,15,18,18,30,30,6,6,6,6,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,9,9,9,9,9,18,18,18,18,18,18,18,18,36,
36,12,12,18,18,18,18,18,18,18,18,18,18,18,18,20,24,40,16,48,16,1,1,3,3,9,9,9,
18,18,18,18,18,18,18,18,12,24,24,3,3,9,1,4,1,3,1],[1,3,27,81,64,1,9,81,27,27,
90,90,90,90,30,30,81,81,180,180,90,90,36,36,192,27,15,15,27,30,30,30,30,30,30,
45,45,81,90,90,60,60,60,60,60,60,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,
90,180,180,18,18,18,18,18,18,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,48,48,48,64,9,6,6,10,10,60,60,30,30,45,45,45,45,90,90,90,90,90,90,
90,90,90,90,9,9,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,48,48,48,48,48,48,144,15,15,18,18,30,30,6,
6,6,6,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,9,9,9,9,9,
18,18,18,18,18,18,18,18,36,36,12,12,18,18,18,18,18,18,18,18,18,18,18,18,4,4,
48,48,48,1,1,3,3,9,9,9,18,18,18,18,18,18,18,18,12,12,12,3,3,9,4,4,12,1,1],[1,
3,27,81,64,1,9,81,27,27,90,90,90,90,30,30,81,81,180,180,90,90,36,36,192,27,15,
15,27,30,30,30,30,30,30,45,45,81,90,90,60,60,60,60,60,60,90,90,90,90,90,90,90,
90,90,90,90,90,90,90,90,90,180,180,18,18,18,18,18,18,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,16,16,16,48,48,64,9,6,6,10,10,60,60,30,30,
45,45,45,45,90,90,90,90,90,90,90,90,90,90,9,9,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,48,48,48,48,
48,48,48,48,48,15,15,18,18,30,30,6,6,6,6,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,9,9,9,9,9,18,18,18,18,18,18,18,18,36,36,12,12,18,18,
18,18,18,18,18,18,18,18,18,18,4,4,16,16,48,48,16,1,1,3,3,9,9,9,18,18,18,18,18,
18,18,18,12,12,12,3,3,9,4,4,12,1,1],[1,3,9,27,4,48,96,1,27,27,54,54,12,144,12,
36,9,27,27,54,54,1,16,32,12,24,4,36,36,27,1,3,3,48,36,12,16,9,1,3,3,4,8,6,6,
16,1,3,3,6,6,12,9,4,3,4,1,1],[1,3,15,45,64,1,5,45,15,15,90,90,30,45,45,180,90,
16,15,15,15,30,30,30,45,45,90,60,60,60,90,90,90,90,90,90,90,90,180,48,16,80,
240,64,5,6,10,60,30,45,45,90,90,90,90,90,16,15,18,30,20,24,40,16,1,1,3,1,4,1,
1],[1,3,15,45,64,1,5,45,15,15,90,90,30,45,45,180,90,16,15,15,15,30,30,30,45,
45,90,60,60,60,90,90,90,90,90,90,90,90,180,48,16,80,240,64,5,6,10,60,30,45,45,
90,90,90,90,90,16,15,18,30,20,24,40,16,1,1,3,1,4,1,1],[1,3,27,81,16,96,1,5,81,
15,15,90,54,90,54,18,30,81,45,180,108,90,54,36,36,48,288,16,48,15,3,15,27,30,
18,18,30,18,30,45,9,45,90,54,12,60,60,60,12,12,90,18,18,90,90,18,18,90,54,90,
54,90,18,90,18,90,36,180,18,18,18,18,18,18,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,64,24,80,8,8,12,24,240,16,32,48,48,5,6,10,60,30,18,
45,9,45,9,90,90,18,90,90,18,18,90,9,9,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,18,18,18,18,18,18,18,18,64,12,12,12,12,12,12,12,24,24,48,24,24,48,48,
48,24,72,16,15,3,18,30,6,6,18,18,18,18,18,18,18,18,18,18,9,9,9,9,9,18,18,18,
18,18,18,18,18,36,36,18,18,18,18,18,18,16,32,1,2,20,24,40,8,8,24,8,12,12,12,
12,12,12,12,1,9,9,18,18,18,18,16,1,3,3,12,6,12,24,24,3,4,8,1,1,2,3,3,4,1,3,1,
1],[1,3,27,81,16,96,1,5,81,15,15,54,90,54,90,30,18,81,45,108,180,54,90,36,36,
48,288,16,48,15,15,3,27,18,30,30,18,30,18,9,45,45,54,90,60,12,12,12,60,60,18,
90,90,18,18,90,90,18,90,54,90,54,90,18,90,18,180,36,18,18,18,18,18,18,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,64,24,8,80,8,12,240,24,
16,32,48,48,5,6,10,60,18,30,9,45,9,45,90,18,90,18,18,90,90,90,9,9,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,18,18,18,18,18,18,18,18,64,12,12,12,12,12,
12,12,24,48,24,48,48,24,24,24,48,72,16,3,15,18,30,6,6,18,18,18,18,18,18,18,18,
18,18,9,9,9,9,9,18,18,18,18,18,18,18,18,36,36,18,18,18,18,18,18,16,32,1,20,2,
24,40,8,8,24,8,12,12,12,12,12,12,12,1,9,9,18,18,18,18,16,1,3,3,6,12,12,24,24,
3,4,8,1,1,2,3,3,4,1,3,1,1],[1,3,45,135,40,1,135,45,45,45,45,15,15,135,90,90,
45,45,90,90,36,120,120,360,45,15,15,15,15,15,15,45,45,45,45,45,45,45,45,90,90,
45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,10,36,108,108,15,15,40,360,
360,15,15,45,45,45,45,45,45,45,45,45,45,45,45,45,10,30,30,36,108,108,15,15,15,
15,15,15,15,15,15,15,15,15,15,15,120,45,10,30,30,20,20,36,15,15,15,15,15,15,
15,15,15,15,15,15,15,15,6,6,10,10,10,20,20,15,15,6,6,6,6,6,6,10,6,6,1,1,1,1,
1],[1,3,35,105,64,1,5,105,15,15,90,90,90,90,30,30,105,45,180,180,90,90,60,60,
16,320,15,5,15,35,30,30,30,30,30,30,45,15,45,90,90,20,60,60,60,20,20,90,30,30,
90,90,30,30,90,90,90,90,90,30,90,30,90,60,180,30,30,30,30,30,30,60,60,60,60,
60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,16,48,48,16,80,240,64,5,6,10,
60,30,30,45,15,45,15,90,90,30,90,90,30,30,90,15,15,30,30,30,30,30,30,30,30,30,
30,30,30,30,30,30,30,30,30,30,30,30,30,60,60,60,60,60,60,60,60,60,60,60,60,60,
60,60,60,60,60,60,60,30,30,30,30,30,30,30,30,16,48,48,80,80,80,80,80,64,15,5,
18,30,10,10,30,30,30,30,30,30,30,30,30,30,15,15,15,15,15,30,30,30,30,30,30,30,
30,60,60,30,30,30,30,30,30,16,20,24,40,16,1,15,15,30,30,30,30,1,20,40,40,16,5,
1,3,3,1,4,1,3,3,5,4,1,1,1],[1,3,35,105,64,1,5,105,15,15,90,90,90,90,30,30,105,
45,180,180,90,90,60,60,16,320,15,15,5,35,30,30,30,30,30,30,15,45,45,90,90,60,
20,20,20,60,60,30,90,90,30,30,90,90,30,90,90,90,90,90,30,90,30,180,60,30,30,
30,30,30,30,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,16,48,
48,16,80,240,64,5,6,10,60,30,30,15,45,15,45,90,30,90,30,30,90,90,90,15,15,30,
30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,60,60,60,60,60,
60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,30,30,30,30,30,30,30,30,16,48,48,
80,80,80,80,80,64,5,15,18,30,10,10,30,30,30,30,30,30,30,30,30,30,15,15,15,15,
15,30,30,30,30,30,30,30,30,60,60,30,30,30,30,30,30,16,20,24,40,16,1,15,15,30,
30,30,30,1,20,40,40,16,5,1,3,3,1,4,1,3,3,5,4,1,1,1],[1,3,27,81,64,192,1,9,81,
27,27,90,90,90,90,30,30,81,81,180,180,90,90,36,36,192,576,27,15,15,27,30,30,
30,30,30,30,45,45,81,90,90,60,60,60,60,60,60,90,90,90,90,90,90,90,90,90,90,90,
90,90,90,90,90,180,180,18,18,18,18,18,18,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,256,48,96,96,48,48,48,288,288,64,192,9,6,6,10,10,60,
60,30,30,45,45,45,45,90,90,90,90,90,90,90,90,90,90,9,9,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,48,
48,48,48,48,48,144,96,96,96,96,96,96,96,96,144,15,15,18,18,30,30,6,6,6,6,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,9,9,9,9,9,18,18,18,
18,18,18,18,18,36,36,12,12,18,18,18,18,18,18,18,18,18,18,18,18,64,192,4,4,24,
24,24,24,40,40,48,32,32,96,96,48,48,48,1,1,3,3,9,9,9,18,18,18,18,18,18,18,18,
12,12,24,24,12,12,24,24,24,24,3,3,9,16,16,48,1,1,4,4,8,8,12,12,1,3,3,4,4,1,1,
1,1,1],[1,3,75,225,160,1,25,225,75,75,90,450,90,450,150,30,225,225,180,900,90,
450,180,180,96,480,160,480,75,75,15,75,30,150,150,30,150,30,45,225,225,90,450,
300,60,60,60,300,300,90,450,450,90,90,450,450,90,450,90,450,90,450,90,450,90,
900,180,90,90,90,90,90,90,180,180,180,180,180,180,180,180,180,180,180,180,180,
180,180,180,180,180,180,180,96,288,288,160,240,120,160,480,480,25,30,6,50,10,
300,60,30,150,45,225,45,225,90,450,90,450,90,90,450,450,450,90,45,45,90,90,90,
90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,180,180,180,180,180,
180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,90,90,90,90,90,90,
90,90,90,90,90,90,90,90,90,90,96,288,288,120,120,120,120,120,240,240,120,240,
120,480,160,15,75,18,90,30,150,30,30,30,30,90,90,90,90,90,90,90,90,90,90,90,
90,90,90,90,90,90,90,90,90,45,45,45,45,45,90,90,90,90,90,90,90,90,180,180,60,
60,90,90,90,90,90,90,90,90,90,90,90,90,96,10,20,160,240,120,120,120,120,120,
120,120,16,48,1,5,15,15,45,45,45,90,90,90,90,90,90,90,90,6,10,30,60,30,60,120,
48,48,48,48,15,15,45,6,18,18,20,10,30,30,60,16,48,5,6,18,18,10,6,5,1],[1,3,75,
225,160,1,25,225,75,75,450,90,450,90,30,150,225,225,900,180,450,90,180,180,96,
480,160,480,75,15,75,75,150,30,30,150,30,150,225,45,225,450,90,60,300,300,300,
60,60,450,90,90,450,450,90,90,450,90,450,90,450,90,450,90,450,180,900,90,90,
90,90,90,90,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,
180,180,180,180,96,288,288,160,120,240,160,480,480,25,6,30,10,50,60,300,150,
30,225,45,225,45,450,90,450,90,450,450,90,90,90,450,45,45,90,90,90,90,90,90,
90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,180,180,180,180,180,180,180,
180,180,180,180,180,180,180,180,180,180,180,180,180,90,90,90,90,90,90,90,90,
90,90,90,90,90,90,90,90,96,288,288,120,120,120,120,240,120,120,240,120,240,
480,160,75,15,90,18,150,30,30,30,30,30,90,90,90,90,90,90,90,90,90,90,90,90,90,
90,90,90,90,90,90,90,45,45,45,45,45,90,90,90,90,90,90,90,90,180,180,60,60,90,
90,90,90,90,90,90,90,90,90,90,90,96,20,10,160,120,240,120,120,120,120,120,120,
16,48,5,1,15,15,45,45,45,90,90,90,90,90,90,90,90,6,10,30,30,60,60,120,48,48,
48,48,15,15,45,6,18,18,10,20,30,30,60,16,48,5,6,18,18,10,6,5,1],[1,3,75,225,
160,384,1,25,225,75,75,90,450,90,450,150,30,225,225,180,900,90,450,180,180,96,
480,1920,160,480,75,75,15,75,30,150,150,30,150,30,45,225,225,90,450,300,60,60,
60,300,300,90,450,450,90,90,450,450,90,450,90,450,90,450,90,450,90,900,180,90,
90,90,90,90,90,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,
180,180,180,180,180,640,96,288,288,96,160,400,160,240,120,1200,480,160,640,
480,480,384,25,30,6,50,10,300,60,30,150,45,225,45,225,90,450,90,450,90,90,450,
450,450,90,45,45,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,
90,90,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,
180,180,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,640,96,288,288,120,
120,120,120,120,240,240,120,240,120,480,240,480,240,240,480,480,480,240,480,
160,384,15,75,18,90,30,150,30,30,30,30,90,90,90,90,90,90,90,90,90,90,90,90,90,
90,90,90,90,90,90,90,45,45,45,45,45,90,90,90,90,90,90,90,90,180,180,60,60,90,
90,90,90,90,90,90,90,90,90,90,90,160,640,96,10,20,100,40,24,120,200,40,160,80,
160,240,480,160,240,120,120,120,120,120,120,120,16,48,96,1,5,15,15,45,45,45,
90,90,90,90,90,90,90,90,160,6,10,30,60,30,120,60,60,60,120,120,120,120,120,48,
48,48,48,96,15,15,45,80,40,160,6,18,18,64,5,1,20,10,20,40,30,30,60,60,16,48,
24,5,40,6,18,18,10,15,15,24,10,20,6,16,5,5,5,5,6,10,6,5,1,1],[1,3,75,225,160,
384,1,25,225,75,75,450,90,450,90,30,150,225,225,900,180,450,90,180,180,96,480,
1920,160,480,75,15,75,75,150,30,30,150,30,150,225,45,225,450,90,60,300,300,
300,60,60,450,90,90,450,450,90,90,450,90,450,90,450,90,450,90,450,180,900,90,
90,90,90,90,90,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,
180,180,180,180,180,640,96,288,288,96,400,160,160,120,240,480,1200,160,640,
480,480,384,25,6,30,10,50,60,300,150,30,225,45,225,45,450,90,450,90,450,450,
90,90,90,450,45,45,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,
90,90,90,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,
180,180,180,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,640,96,288,288,
120,120,120,120,240,120,120,240,120,240,480,480,240,480,480,240,240,240,480,
480,160,384,75,15,90,18,150,30,30,30,30,30,90,90,90,90,90,90,90,90,90,90,90,
90,90,90,90,90,90,90,90,90,45,45,45,45,45,90,90,90,90,90,90,90,90,180,180,60,
60,90,90,90,90,90,90,90,90,90,90,90,90,160,640,96,20,10,40,100,120,24,40,200,
160,160,80,480,240,160,120,240,120,120,120,120,120,120,16,48,96,5,1,15,15,45,
45,45,90,90,90,90,90,90,90,90,160,6,10,30,30,60,60,120,60,60,120,120,120,120,
120,48,48,48,48,96,15,15,45,40,80,160,6,18,18,64,1,5,10,20,40,20,30,30,60,60,
16,48,24,5,40,6,18,18,10,15,15,24,20,10,6,16,5,5,5,5,6,10,6,5,1,1],[1,3,315,
945,1120,1,105,945,315,315,1890,1890,1890,1890,630,630,945,945,3780,3780,1890,
1890,3780,3780,2016,3360,3360,10080,960,315,315,315,315,630,630,630,630,630,
630,945,945,945,1890,1890,1260,1260,1260,1260,1260,1260,1890,1890,1890,1890,
1890,1890,1890,1890,1890,1890,1890,1890,1890,1890,1890,1890,3780,3780,1890,
1890,1890,1890,1890,1890,3780,3780,3780,3780,3780,3780,3780,3780,3780,3780,
3780,3780,3780,3780,3780,3780,3780,3780,3780,3780,280,2016,6048,6048,1680,
2520,2520,1120,10080,10080,2880,105,126,126,210,210,1260,1260,630,630,945,945,
945,945,1890,1890,1890,1890,1890,1890,1890,1890,1890,1890,945,945,1890,1890,
1890,1890,1890,1890,1890,1890,1890,1890,1890,1890,1890,1890,1890,1890,1890,
1890,1890,1890,1890,1890,3780,3780,3780,3780,3780,3780,3780,3780,3780,3780,
3780,3780,3780,3780,3780,3780,3780,3780,3780,3780,1890,1890,1890,1890,1890,
1890,1890,1890,1890,1890,1890,1890,1890,1890,1890,1890,280,840,840,2016,6048,
6048,960,2520,2520,2520,2520,2520,2520,2520,2520,2520,2520,2520,2520,2520,
2520,5040,3360,960,315,315,378,378,630,630,630,630,630,630,1890,1890,1890,
1890,1890,1890,1890,1890,1890,1890,1890,1890,1890,1890,1890,1890,1890,1890,
1890,1890,945,945,945,945,945,1890,1890,1890,1890,1890,1890,1890,1890,3780,
3780,1260,1260,1890,1890,1890,1890,1890,1890,1890,1890,1890,1890,1890,1890,
280,840,840,1680,1680,2016,2880,210,210,1680,2520,2520,2520,2520,2520,2520,
2520,2520,2520,2520,2520,2520,2520,2520,336,1008,1008,21,21,315,315,945,945,
945,1890,1890,1890,1890,1890,1890,1890,1890,280,840,840,1680,1680,126,126,960,
210,210,630,630,630,630,1260,2520,2520,1008,1008,1008,1008,1008,1008,1008,315,
315,945,840,126,126,378,378,378,378,360,210,210,630,630,630,630,1260,336,1008,
1008,105,280,126,126,378,378,378,378,360,360,360,168,210,210,126,126,360,168,
168,168,105,168,21,21,1],[1,3,315,945,1120,1344,3840,1,105,945,315,315,1890,
1890,1890,1890,630,630,945,945,3780,3780,1890,1890,3780,3780,2016,3360,20160,
3360,10080,960,315,315,315,315,630,630,630,630,630,630,945,945,945,1890,1890,
1260,1260,1260,1260,1260,1260,1890,1890,1890,1890,1890,1890,1890,1890,1890,
1890,1890,1890,1890,1890,1890,1890,3780,3780,1890,1890,1890,1890,1890,1890,
3780,3780,3780,3780,3780,3780,3780,3780,3780,3780,3780,3780,3780,3780,3780,
3780,3780,3780,3780,3780,280,4480,8960,2016,6048,6048,336,960,1680,1680,1680,
2520,2520,5040,5040,1120,6720,10080,10080,2880,8064,105,126,126,210,210,1260,
1260,630,630,945,945,945,945,1890,1890,1890,1890,1890,1890,1890,1890,1890,
1890,945,945,1890,1890,1890,1890,1890,1890,1890,1890,1890,1890,1890,1890,1890,
1890,1890,1890,1890,1890,1890,1890,1890,1890,3780,3780,3780,3780,3780,3780,
3780,3780,3780,3780,3780,3780,3780,3780,3780,3780,3780,3780,3780,3780,1890,
1890,1890,1890,1890,1890,1890,1890,1890,1890,1890,1890,1890,1890,1890,1890,
280,840,840,13440,2016,6048,6048,960,3840,3840,3840,2520,2520,2520,2520,2520,
2520,2520,2520,2520,2520,2520,2520,2520,2520,5040,5040,5040,5040,5040,5040,
5040,5040,5040,5040,3360,4480,960,8064,315,315,378,378,630,630,630,630,630,
630,1890,1890,1890,1890,1890,1890,1890,1890,1890,1890,1890,1890,1890,1890,
1890,1890,1890,1890,1890,1890,945,945,945,945,945,1890,1890,1890,1890,1890,
1890,1890,1890,3780,3780,1260,1260,1890,1890,1890,1890,1890,1890,1890,1890,
1890,1890,1890,1890,280,840,840,1120,2240,6720,1680,1680,2016,2880,210,210,
420,420,504,504,840,840,1680,1680,1680,5040,5040,1680,2520,2520,2520,2520,
2520,2520,2520,2520,2520,2520,2520,2520,2520,2520,4480,336,1008,1008,2016,
3840,21,21,315,315,945,945,945,1890,1890,1890,1890,1890,1890,1890,1890,280,
840,840,1680,1680,3360,126,126,960,960,960,960,210,210,630,630,630,630,1260,
1260,1260,1260,2520,2520,2520,2520,2520,2520,1120,1008,1008,1008,1008,1008,
1008,1008,2016,315,315,945,840,840,1680,840,126,126,378,378,378,378,360,1344,
21,21,210,210,420,420,630,630,630,630,1260,1260,1120,336,1008,1008,504,504,
960,105,280,840,840,126,126,378,378,378,378,360,360,360,168,210,210,315,315,
504,504,210,210,126,126,360,168,168,168,336,105,105,105,105,280,126,126,210,
210,168,126,126,105,21,21,21,21,1,1]],
[1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,5,6,6,6,6,7,8,8,8,8,8,8,
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,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,9,9,9,10,10,10,12,12,12,12,12,12,12,
12,12,12,12,12,12,14,15,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,18,18,18,18,20,20,20,21,21,21,21,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,27,28,30,
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,
32,32,32,32,32,32,32,36,36,36,36,36,36,36,36,40,42,48,48,48,48,48,48,48,48,48,
48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,54,60,60,60,60,63,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,72,72,72,72,72,72,80,80,84,84,84,84,
96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,108,120,120,120,120,120,120,
120,120,128,128,128,144,144,144,144,160,160,160,160,160,160,168,180,192,192,
192,192,192,192,192,192,192,192,192,192,216,240,240,240,240,240,252,256,288,
288,288,320,320,320,320,320,320,336,336,336,360,384,384,384,384,480,480,576,
576,640,640,672,720,720,720,720,768,768,768,768,864,960,960,1152,1152,1440,
1920,1920,2304,3840,3840,11520,11520,80640,241920],
[477,476,462,430,423,410,343,477,471,430,460,459,396,397,396,397,444,445,430,
430,344,345,396,397,350,350,395,359,114,364,237,429,461,459,460,462,445,444,
444,445,444,445,430,430,430,396,397,416,415,415,415,416,416,396,397,397,396,
396,397,397,396,397,396,397,396,397,396,397,396,345,344,396,397,396,397,398,
398,350,350,350,350,350,350,350,350,350,350,350,350,350,350,350,350,350,350,
350,350,463,338,238,395,308,308,458,429,399,400,401,382,381,321,322,423,305,
237,237,367,240,471,470,469,467,466,416,415,445,444,430,430,430,430,396,397,
396,397,396,396,397,397,397,396,430,430,397,397,396,396,398,398,397,396,397,
397,396,396,397,397,396,396,397,396,396,397,396,397,350,350,350,350,350,350,
350,350,350,350,350,350,350,350,350,350,350,350,350,350,396,397,396,396,397,
397,397,397,396,396,396,397,397,396,397,396,463,431,431,205,395,308,308,429,
343,343,343,382,381,381,382,381,382,381,382,381,382,382,381,382,381,318,319,
320,321,321,322,322,322,321,323,364,338,429,240,460,459,453,452,445,444,446,
447,447,446,396,397,397,397,396,396,397,396,396,396,397,397,397,396,397,396,
397,396,396,397,430,430,430,430,430,396,396,397,397,397,397,396,396,350,350,
421,422,396,396,397,397,396,396,397,397,396,397,396,397,463,431,431,423,387,
305,402,402,395,367,466,467,450,451,449,448,432,433,401,400,399,321,322,401,
382,381,382,381,382,381,382,381,382,381,382,381,382,381,338,458,425,426,395,
343,474,475,461,462,430,430,430,397,396,397,396,396,397,397,396,463,431,431,
402,402,364,469,470,429,429,429,429,466,467,444,445,444,445,416,415,421,422,
381,382,383,384,385,386,423,425,426,426,425,426,425,424,395,459,460,430,432,
433,401,431,470,469,453,452,452,453,454,410,475,474,467,466,450,451,445,444,
444,445,421,422,423,458,425,426,448,449,429,471,463,432,433,469,470,452,453,
453,452,454,454,454,468,467,466,459,460,448,449,466,467,470,469,454,468,468,
468,458,471,471,471,471,463,469,470,466,467,468,469,470,471,474,475,474,475,
477,477],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,5,5,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,27,27,1,8,8,9,9,9,17,18,11,12,1,
1,5,5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,
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,
4,4,4,4,4,4,4,4,4,4,98,98,1,5,1,27,27,32,32,32,1,109,110,110,109,110,109,110,
109,18,17,17,18,17,18,9,9,9,11,11,12,12,12,11,8,5,5,1,27,1,1,1,1,1,1,12,11,11,
12,12,11,11,11,12,12,11,12,12,12,11,11,11,12,11,12,11,12,12,11,1,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,2,3,4,4,4,4,4,4,4,4,4,4,4,4,1,98,98,8,8,9,98,98,27,32,123,122,
119,119,121,120,122,123,9,9,9,11,12,8,17,18,109,110,109,110,109,110,109,110,
109,110,109,110,98,339,340,341,8,32,1,1,2,3,4,4,4,11,12,11,12,12,11,11,12,98,
98,98,98,98,113,121,120,32,239,239,8,310,311,311,310,122,123,119,119,286,287,
110,109,122,123,121,120,113,340,341,341,340,341,340,339,206,12,11,45,122,123,
119,98,366,365,365,366,120,121,409,339,345,344,122,123,119,119,310,311,311,
310,286,287,300,339,340,341,120,121,239,119,202,311,310,121,120,366,365,365,
366,409,409,409,443,311,310,344,345,366,365,344,345,366,365,409,443,443,443,
424,344,345,430,430,431,344,345,414,413,443,434,435,430,472,473,472,473,476,
476],
[(  1,  2, 44)(  3,114,172)(  4,228,202)(  5,232, 76)(  6, 88, 90)
(  7,141,260)(  8,283, 13)(  9, 15,152)( 10, 60, 59)( 11,175, 33)( 12, 61,310)
( 14,102, 23)( 16,170,203)( 17,258, 28)( 18, 21,124)( 19,189, 45)( 20,322, 39)
( 22, 40,264)( 24,158, 56)( 25, 35,255)( 26,261,121)( 27,253, 63)( 29,331, 46)
( 30, 48,315)( 31, 68,132)( 32, 51,288)( 34, 93,221)( 36, 57,273)( 37,316,284)
( 38, 84,112)( 41,243,295)( 42,294,183)( 43, 95,194)( 47,199, 96)( 49,256,164)
( 50,224,223)( 52,249,326)( 53,321,242)( 54,161, 62)( 55, 82,291)( 58,118,299)
( 64,165, 97)( 65,140,239)( 66,274,103)( 67,219,245)( 69,104,276)( 70,248,277)
( 71,137,139)( 72,145,108)( 73,225,196)( 74,231,174)( 75,230,281)( 77,162,116)
( 78,314,191)( 79,296,330)( 80,195,214)( 81,126,222)( 83,106,149)( 85,244,185)
( 86,336,128)( 87,307,168)( 89,216,157)( 91,335, 92)( 94,134,329)( 98,292,100)
( 99,144,280)(101,187,159)(105,319,205)(107,233,146)(109,289,279)(110,155,171)
(111,123,287)(113,235,142)(115,272,130)(117,254,300)(119,218,217)(120,154,178)
(122,278,179)(125,327,201)(127,180,332)(129,247,220)(131,156,188)(133,135,333)
(136,324,192)(138,282,213)(143,325,211)(147,200,303)(148,226,241)(150,207,173)
(151,308,197)(153,250,317)(160,204,234)(163,186,297)(166,309,306)(167,169,229)
(176,305,198)(177,259,334)(181,320,238)(182,215,210)(184,246,190)(193,240,302)
(206,268,311)(208,270,266)(209,267,286)(212,304,301)(227,263,298)(236,257,252)
(237,265,293)(251,269,323)(262,318,313)(271,290,285)(275,328,312),
(  1,223,313, 71,329,236,120)(  2,277,299,219,117, 84,100)(  3,321, 20,332,
 197,260, 22)(  4,144,269, 25, 15,115,210)(  5,243, 11, 16, 89, 45,135)
(  6,251,229,285, 23,232,127)(  7, 32,293,314,216, 30,143)(  8,141, 72, 88,
  82, 43,262)(  9, 56,198, 74,249,333, 21)( 10,146,168,164,257,267,324)
( 12,134,258,270,174,320,252)( 13,202,279,248,218, 96, 42)( 14,121,253,217,
  39, 77, 41)( 17,137,296,231, 62,310, 94)( 18,306,190, 90,199, 63,222)
( 19, 79,311,209,238, 40,334)( 24,264,325,111, 57,131,205)( 26,162,156,102,
  83,289,182)( 27,215,125,295,261,188,204)( 28, 61,132, 36,312,175,207)
( 29,221,155,142,129, 86,240)( 31, 53,101,263,308, 76,326)( 33,327,157,284,
 172,181,176)( 34,211,160,273, 52,330,147)( 35,265,297,288,283,259,158)
( 37,171,298,281, 60,113,331)( 38,148,256,108,151,110,200)( 44,274,152,328,
 123,192,119)( 46, 91,244,194,307,159,114)( 47,180,122,104, 64, 66,154)
( 48,206,196,250,230,126,234)( 49,169,280, 85, 78,183,178)( 50,109,239,203,
 275,124,304)( 51,309,133,177,294,237,186)( 54,245,323,145, 87,291, 68)
( 55,184, 99,214,319,116,242)( 58,286,315,201,272,336,276)( 59,287, 93,235,
 316,170,220)( 65,268,139, 95,241,254,247)( 67, 69,153,282,166,163,255)
( 70,224, 98,187,107,138, 73)( 75, 97,128,300,161,266,233)( 80,149,271,303,
 189,191,335)( 81,227,292,193,130,103,212)( 92,302,112,290,150,305,105)
(106,179,322,136,118,225,140)(165,317,278,195,228,318,301)(167,226,185,246,
 213,208,173)],
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3,1,5,1]],[[1,-1,2,2],[2,1,1,-1,2,-1],[3,2],[5,1,4,1,5,-1,4,1,3,1]],[[1,-1,2,
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5,1,1,1,5,-1,2,-1],[4,1,6,1],[6,1,4,1],[7,1,8,3,6,-2,7,1],[9,-2]]],[[[1,-1,2,
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2,-1],[3,1,4,-1,3,-1,4,-1,3,-2]],[[1,-1,2,2],[3,-1,2,1,1,1,2,-1,3,1]],[[1,-1,
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1],[3,-4,6,1]]],[[[1,1,2,1],[1,-1],[2,1,1,1],[2,1,5,-1,4,1,5,1,2,-1,4,1],[3,
2],[7,1,6,1,7,2,6,-1]],[[1,1,2,1],[1,-1],[2,1,1,1],[2,1,5,-1,4,1,5,1,2,-1,4,
1],[3,2],[7,1,3,1,6,1,7,1]],[[1,1,2,1],[1,-1],[2,1,1,1],[2,1,5,-1,4,1,5,1,2,
-1,4,1],[3,-4,6,1]]],[[[1,-1,2,2],[2,1,1,-1,2,-1],[3,2],[5,1,4,1,5,2,4,-1]],[[
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3]],[[1,-1,2,2],[2,1,1,-1,2,-1],[4,1,3,1,4,-1,3,-2,4,-1]]],[[[2,-2,1,1,2,1],[
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1,1,-1,2,-1],[3,2],[4,-1,5,2,4,-1,3,1]]],[[[1,1,2,-2,1,-1,2,2]],[[2,-1,1,-1,2,
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1,1,5,-1,2,-1],[4,1,6,1],[6,1,4,1],[7,1,8,3,6,-2,7,1],[9,-2]],[[1,1,2,1],[3,1,
1,1,2,-2,3,1,2,1,3,1,1,-1],[1,1,2,1],[5,1,1,1,2,-2,5,1,1,1,5,-1,2,-1],[4,1,6,
1],[6,-1,7,2]]],[[[1,1,2,1],[3,1,1,1,2,-2,3,1,2,1,3,1,1,-1],[1,1,2,1],[5,1,1,
1,2,-2,5,1,1,1,5,-1,2,-1],[6,1,4,1],[4,1,6,-1],[6,1,7,1],[8,1,7,-1,4,1,6,1,9,
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2,-1,4,1],[3,2,6,1,3,1,6,-1,3,1,6,-1]],[[1,1,2,1],[1,-1],[2,1,1,1],[2,1,5,-1,
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-1,1,-1,2,2,3,-1]]],[[[1,1,2,1],[1,-1],[2,1,1,1],[2,1,5,-1,4,1,5,1,2,-1,4,1],[
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1,1,2,-2,3,1,2,1,3,1,1,-1],[1,1,2,1],[5,1,1,1,2,-2,5,1,1,1,5,-1,2,-1],[4,1,6,
1],[6,1,4,1],[7,1,8,2,7,-1,6,-1]]],[[[2,1,1,-1,2,-1],[3,-1,2,-2,1,1,3,1]],[[1,
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1],[5,-1,2,-1,1,-1,5,1]],[[1,1,2,1],[1,-1],[2,1,1,1],[2,1,5,-1,4,1,5,1,2,-1,4,
1],[3,1,6,-1,3,1]]],[[[1,-1,2,2],[3,1,2,1,1,-1,2,-1,3,2]],[[2,1,1,1,2,
-1]]],[[[2,-2,1,1,2,1,1,-1,2,-1]],[[2,1,1,-1,2,-3,1,1]]],[[[1,-1],[2,1,1,1],[
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1,2,-1,3,1],[5,1,2,-1,1,-1]]],[[[1,-1],[1,1,2,1],[3,1,2,2,4,1,3,1,4,-1,2,-1],[
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2,1],[2,1,3,1],[1,-1,4,-1,3,2,4,1]]],[[[1,1,2,1],[3,1,1,1,2,-2,3,1,2,1,3,1,1,
-1]],[[1,1,2,1],[3,1,1,1,2,-2,3,1,1,1,3,-1,2,-1]]],[[[1,1]],[[2,1]]]]);

AFLT( "2^2.L3(4).2_2","2^2.L3(4).3.2_2",[1,2,5,2,4,3,5,6,9,11,10,19,16,17,18,
23,24,12,13,15,14,19,20,21,22,11,22,17,18,14,15,24,23,14,15,20,21,26,25,27,29,
31,28,28,29,30,32,38,38,40,36,33,37,37,41,45,45,50,46,47,56,55,65,66,52,51,67,
68,64,63,69,70,62,61,59,60,73,74,46,47,44,43,48,49,60,59,69,70,42,50,52,51,55,
56,54,53,71,72,55,56,66,65,49,61,48,62,68,67,68,67,58,57,74,73,70,69,65,66,75,
76,98,78,79,77,80,89,88,82,81,84,77,81,82,83,83,89,88,79,81,82,78,80,88,84,89,
87,93,83,84,86,85,96,97,92,90,91,95,94,103,104,103,106,104,105,115,115,99,100,
112,99,106,105,100,101,102,108,107,109,110,111,113,114,115,116,117,112,112,
118,119,120,124,123,124,125,125,132,131,128,132,131,140,141,142,145,144,141,
142,138,135,137,146,147,148,147,150,159,160,171,172,152,151,169,170,168,167,
159,160,158,157,153,154,167,168,169,170,155,156,162,161,164,163,163,164,161,
162,172,171,165,166,171,172,166,165,173,174,176,175,177,178,181,184,183,178,
177,184,183,182,181,180,179,182,184,183,185,226,227,232,233,230,231,228,229,
240,239,234,244,243,241,242,253,235,236,258,237,238,230,242,231,241,233,240,
239,232,262,261,260,260,249,250,247,248,246,245,252,251,228,229,241,242,227,
226,240,239,262,261,272,272,256,255,257,254,259,256,255,270,271,275,254,265,
259,270,271,265,275,272,260,262,261,265,275,274,273,264,263,266,267,268,269,
270,271,194,192,221,193,191,220,195,199,210,196,200,209,195,210,209,196,194,
221,193,220,201,202,197,198,209,200,199,210,191,220,221,192,203,204,219,206,
205,212,211,214,213,215,208,207,216,217,218,224,225,222,223,187,186,188,190,
189,276,283,284,285,277,278,279,282,281,280,289,289,286,287,287,290,294,295,
296,295,296,297,298,299,307,306,304,305,308,309,308,309,304,305,311,310,306,
308,309,307,316,317,318,328,327,322,323,323,322,323,322,318,317,324,324,333,
334,338,337,332,331,336,341,340,342,347,346,348,349,347,346,348,349,345,344,
350,351,355,354,352,363,362,360,361,353,358,359,355,354,352,353,363,362,361,
360,366,357,356,362,363,360,361,364,365,366,365,406,406,407,407,408,371,372,
391,392,384,383,370,369,379,380,382,381,377,378,387,388,374,373,367,368,378,
377,376,375,382,381,386,385,386,385,380,379,375,388,387,376,404,405,394,393,
397,398,396,395,389,390,401,403,402,386,383,384,385,388,387,374,373,399,400,
432,433,423,422,424,425,430,431,427,426,429,428,436,437,438,439,435,434,441,
430,431,440,441,440,430,441,431,440,434,435,432,433,421,411,412,417,418,413,
414,415,416,420,419,409,410,444,445,442,443,447,449,446,448,450,454,451,455,
457,456,452,453,458,459,460,461,466,467,465,468,469,470,471,473,474,475,476,
477,472,462,463,464,479,479,480,480,478,485,484,485,484,487,488,486,490,491,
493,492,494,494,495,497,498,525,526,523,524,531,532,535,534,528,527,529,530,
542,541,542,541,526,525,530,529,524,523,541,542,540,529,530,513,514,511,512,
513,514,509,543,544,515,516,522,545,549,552,551,550,552,551,556,557,558,558,
559,567,566,572,573,571,570,578,579,574,575,576,577,573,572,575,574,578,579,
576,577,568,569,560,561,564,565,563,562,592,593,593,592,594,584,585,583,582,
587,586,590,591,589,588,580,581,581,605,604,602,601,603,595,596,597,598,600,
599,616,617,615,614,620,621,618,619,626,627,608,609,613,612,610,611,607,606,
622,623,628,629,625,624,631,632,631,633,633,632,633,630,637,636,644,643,638,
642,646,645,647,648,649,652,665,666,665,666,653,656,654,655,656,655,659,660,
671,672,669,669,679,680,677,678,679,680,681,682,683,684,690,694,693,695,696,
692,691,700,701,699,702,703,702,703,701,700,703,702,699,706,705,707,712,711,
710,709,715,714,713,717,717,716,729,728,727,726,730,731,723,722,718,719,720,
721,725,724,733,732,734,738,738,739,741,742,740,747,746,745,744,747,746,749,
748,749,748,750,750,752,775,774,761,760,771,770,766,767,769,767,768,766,768,
769,757,756,764,765,779,781,778,780,784,784,776,787,789,788,796,797,795,797,
796,800,801,802,803,804,805,808,810,811,809,813,814,812,816,824,815,826,825,
829,830,827,828,827,828,830,829,831,832,834,833,835,837,836,836,835,836,838,
838,851,850,854,855,853,852,848,849,842,843,846,847,856,857,861,865,866,867,
869,874,875,876,880,879,877,878,883,881,882,882,884,884,885,885,885,886,891,
897,896,910,909,911,912,914,914,913,918,926,928,927,933,932,938,939] );

AFLT( "2^2.L3(4)","2^2.L3(4).3",[1,2,2,2,4,3,4,4,5,8,9,17,18,17,18,17,18,20,
12,11,10,20,19,10,19,20,19,10,13,14,24,23,15,16,24,23,13,14,24,23,16,15,14,13,
15,16,22,21,22,21,21,22,25,26,26,25,26,25,27,28,28,28,31,31,31,30,32,33,33,33,
37,38,38,37,37,38,40,39,39,40,40,39,42,41,42,41,41,42,45,44,43,44,43,45,44,43,
36,45,35,34,47,46,54,55,58,59,63,62,65,64,46,47,65,64,68,67,66,69,56,57,64,65,
62,63,58,59,54,55,47,46,69,66,60,61,56,57,66,69,68,67,63,62,57,56,55,54,60,61,
68,67,58,59,61,60,70,71,52,50,71,70,49,48,70,71,53,51,72,73,74,75,74,73,75,72,
76,77,77,76,75,74,73,72,77,76,79,78,81,80,80,81,79,80,81,79,78,78,86,85,89,88,
95,96,97,91,92,87,95,96,84,83,90,91,92,94,93,82,93,94,95,96,87,88,89,82,83,84,
97,83,84,85,86,92,91,89,88,93,94,85,86,90,90,82,97,87,98,103,103,103,102,102,
101,102,109,110,109,110,110,109,108,113,116,116,115,115,115,116,117,117,117,
119,121,120,126,127,126,127,127,126,123,122,128,129,131,130,131,130,128,129,
129,128,131,130,137,139,140,141,134,135,132,133,137,139,136,138,133,132,136,
138,141,140,140,141,134,135,133,132,139,137,136,138,135,134,124,125,143,142,
143,142,142,143,144,147,149,146,145,148,145,146,144,147,149,148,148,149,144,
147,145,146,165,164,165,164,153,154,154,153,157,158,155,152,154,153,156,159,
157,158,151,150,160,161,151,150,161,160,165,164,163,162,156,159,156,159,152,
155,160,161,163,162,151,150,152,155,157,158,162,163,182,180,172,168,166,176,
167,169,169,167,172,177,171,170,175,174,178,185,184,176,181,183,184,185,179,
173,183,181,174,175,175,174,180,182,178,173,176,177,166,168,182,180,179,183,
181,184,185,171,170,168,166,169,167,170,171,179,172,177,178,173,197,192,186,
196,195,187,193,194,188,191,190,189,200,198,201,199,198,190,199,189,200,201,
188,191,194,195,196,187,186,197,192,193,190,198,191,199,189,201,200,188,194,
192,187,195,196,197,186,193,203,203,203,202,204,204,204,207,208,208,207,207,
208,206,209,217,216,215,218,219,220,218,215,218,215,213,214,213,214,216,217,
213,214,220,219,216,217,220,219,223,224,225,226,223,224,222,221,223,224,225,
226,222,221,225,226,221,222,227,227,227,237,239,243,244,244,243,243,244,245,
246,246,245,246,245,241,242,273,272,275,274,275,272,273,274,275,274,272,273,
280,282,277,278,278,277,281,283,279,276,283,281,278,277,282,280,276,279,279,
276,282,280,283,281,285,284,285,284,285,284,271,271,271,286,286,286,287,268,
267,250,249,264,263,263,264,252,251,270,269,268,267,260,262,257,258,259,261,
270,269,264,263,253,256,254,255,265,266,260,262,270,269,261,259,255,254,253,
256,251,252,259,261,252,251,257,258,268,267,265,266,254,255,258,257,265,266,
253,256,262,260,247,248,294,290,292,288,291,295,293,289,296,297,289,291,295,
293,297,296,295,293,289,291,296,297,298,299,288,292,294,290,288,292,294,290,
299,298,298,299,302,301,302,301,301,302,300,306,307,306,307,307,306,308,309,
309,309,310,311,327,326,329,330,333,332,337,336,333,332,329,330,335,334,327,
326,337,336,329,330,336,337,331,328,328,331,331,328,327,326,334,335,333,332,
334,335,325,324,325,324,325,324,318,339,341,340,340,341,341,340,344,345,346,
346,346,347,348,349,348,349,348,349,350,350,350,356,355,352,351,358,357,358,
357,354,353,354,353,356,355,354,353,355,356,358,357,351,352,352,351,360,361,
360,361,360,361,363,363,363,362,362,362,359,366,365,367,373,374,372,371,373,
374,373,374,375,376,375,376,376,375,379,379,379,381,382,382,381,381,382,392,
393,388,389,390,391,389,388,391,390,388,389,394,393,392,394,393,392,390,391,
394,398,398,398,397,396,402,402,402,405,406,405,406,406,405,403,404,407,408,
407,408,408,407,409,409,409,413,414,420,419,419,420,418,417,418,417,418,417,
420,419,421,421,421,425,426,426,425,426,425,424,430,431,436,437,439,438,439,
438,436,437,439,438,437,436,434,435,442,441,441,442,440,441,440,440,442,443,
443,443,444,445,452,453,454,454,454,457,457,455,455,456,457,456,455,456,461,
468,468,468,472,473,476] );

AFLT( "2^2.L3(4)","2^2.L3(4).2_2",[1,4,2,2,3,6,3,7,8,9,11,14,15,28,29,28,29,
22,19,18,26,22,25,10,27,12,25,26,20,21,17,16,35,34,32,33,35,34,32,33,21,20,30,
31,31,30,24,23,37,36,36,37,45,44,43,41,44,45,47,49,48,49,53,54,54,52,55,57,57,
56,61,62,99,100,94,93,100,99,62,61,94,93,60,59,60,59,79,80,58,105,103,105,103,
90,83,84,89,58,81,82,65,66,106,104,109,110,63,64,63,64,66,65,117,118,116,115,
87,88,75,76,101,102,101,102,68,67,73,74,91,92,115,116,67,68,86,85,71,72,71,72,
117,118,76,75,74,73,108,107,87,88,107,108,109,110,114,113,69,70,78,77,111,112,
77,78,69,70,161,163,162,164,162,163,164,161,167,168,173,170,172,171,160,159,
168,167,187,169,166,165,183,183,169,166,165,186,187,186,137,136,135,134,141,
138,142,133,132,130,141,138,143,145,144,128,129,132,133,124,128,129,122,123,
144,148,148,131,126,127,125,136,137,145,143,139,140,134,135,140,139,126,127,
149,130,131,142,149,190,195,194,195,193,191,192,193,197,196,200,199,199,200,
198,209,203,207,206,202,206,207,212,214,214,215,221,220,217,216,217,216,226,
227,231,230,244,245,242,243,242,243,239,238,245,244,241,240,247,246,233,232,
248,249,222,223,218,219,250,251,235,234,218,219,225,224,224,225,248,249,235,
234,251,250,247,246,252,253,237,236,264,263,264,263,259,258,265,266,260,262,
261,267,265,266,261,262,260,271,267,268,272,273,272,273,317,316,317,316,323,
322,283,284,318,319,322,323,301,302,288,289,288,289,276,275,277,278,320,321,
300,303,282,281,298,296,318,319,299,297,302,301,303,300,298,296,320,321,284,
283,299,297,279,280,305,304,339,335,336,350,335,336,360,359,349,344,345,345,
307,306,332,334,333,337,348,347,333,334,331,339,324,325,307,306,346,346,347,
348,340,349,344,337,342,341,325,324,338,304,305,328,329,326,327,359,360,342,
341,326,327,338,343,350,340,343,364,366,362,361,363,365,366,363,385,388,374,
375,373,387,376,386,368,369,371,372,367,370,372,369,391,378,377,389,392,379,
390,380,388,387,374,386,385,376,373,375,378,380,389,391,377,379,392,390,431,
430,431,429,428,427,428,437,436,434,437,435,436,433,440,455,454,448,447,449,
450,454,455,445,446,453,456,453,456,447,448,442,441,444,443,445,446,450,449,
462,463,468,469,467,466,465,464,465,464,468,469,462,463,459,458,466,467,471,
470,470,477,480,487,486,482,483,487,486,489,488,488,489,484,485,491,490,505,
504,501,506,507,494,495,506,507,496,504,505,518,517,509,508,516,515,510,511,
508,509,517,518,497,498,499,500,498,497,516,515,511,510,499,500,512,522,521,
522,512,520,524,524,523,525,526,526,527,583,584,546,547,549,548,541,540,559,
558,563,560,544,545,543,542,532,533,561,562,550,551,540,541,555,554,580,577,
553,552,581,582,563,560,542,543,554,555,557,556,537,536,581,582,559,558,579,
578,583,584,553,552,557,556,578,579,539,538,580,577,562,561,535,534,613,614,
611,612,610,594,593,609,618,617,605,608,607,606,617,618,613,611,612,614,588,
587,603,604,609,593,594,610,605,606,607,608,615,616,616,615,670,669,670,668,
669,671,672,676,673,674,675,675,674,681,685,685,684,687,688,709,710,715,714,
703,704,705,706,701,702,700,699,701,702,709,710,705,706,707,708,689,690,707,
708,699,700,715,714,692,691,711,712,712,711,704,703,721,720,717,716,721,720,
722,732,734,733,730,731,734,733,736,735,738,738,737,739,768,769,771,770,771,
770,785,784,785,747,746,748,749,753,752,742,743,750,751,758,759,757,756,758,
759,756,757,753,752,754,755,755,754,821,826,823,822,823,822,824,825,827,825,
824,827,828,835,836,838,846,848,845,847,849,850,849,850,843,844,843,844,842,
841,855,856,856,861,862,858,857,861,862,881,882,878,877,884,883,879,880,880,
879,883,884,885,874,875,876,882,881,877,878,885,896,897,897,891,892,917,916,
917,927,926,923,922,926,927,924,925,928,929,930,931,931,930,932,933,933,950,
949,946,944,944,946,943,945,948,947,943,945,941,942,958,958,957,963,964,966,
967,966,967,965,974,983,993,992,990,991,988,989,993,992,990,991,987,986,985,
984,1003,1001,1000,1000,1002,1003,1002,998,1001,1004,1005,1005,1014,1015,1026,
1027,1035,1035,1034,1037,1037,1038,1039,1040,1036,1038,1040,1039,1042,1050,
1049,1050,1054,1055,1058] );

AFLT( "2^2.L3(4).3","2^2.L3(4).3.2_2",[1,2,3,5,6,7,8,9,10,11,13,12,14,15,14,
15,18,17,22,19,21,20,24,23,29,28,32,38,39,33,37,41,45,44,43,42,55,56,56,55,47,
46,48,49,50,52,51,58,57,64,64,63,63,61,62,60,59,67,68,68,67,65,66,65,66,70,69,
70,69,74,73,104,103,105,106,99,100,112,112,115,115,77,88,89,88,89,84,83,83,84,
81,82,81,82,79,78,80,120,121,122,123,124,125,126,127,130,129,128,132,131,133,
134,135,136,141,142,147,149,150,151,152,154,153,155,156,159,160,162,161,163,
164,170,169,166,165,172,172,171,171,167,168,178,177,183,183,184,184,182,181,
227,226,240,240,239,239,242,242,241,241,233,232,231,230,229,228,270,271,271,
270,272,272,265,265,260,260,275,275,259,254,261,262,262,261,255,256,191,192,
210,210,209,209,221,221,220,220,193,194,200,199,196,195,286,287,289,293,294,
296,295,299,300,300,301,307,306,308,309,308,309,305,304,322,323,323,322,317,
318,324,320,319,330,330,329,329,325,326,321,331,339,340,343,345,344,347,346,
348,349,370,369,367,368,379,380,386,386,385,385,383,384,387,387,388,388,377,
378,382,381,374,373,376,375,406,354,355,352,353,363,363,362,362,360,360,361,
361,365,366,407,408,440,440,441,441,431,431,430,430,432,433,434,435,478,479,
480,481,482,483,484,485,491,494,498,497,499,500,501,502,503,504,509,506,505,
508,507,510,514,513,524,523,530,529,530,529,542,541,542,541,526,525,547,550,
551,552,553,555,556,557,558,559,593,592,581,574,575,576,577,579,578,572,573,
630,631,632,633,633,639,646,645,648,651,651,650,653,654,655,656,666,665,667,
668,669,670,680,679,675,676,674,673,697,702,703,703,702,700,701,699,704,710,
709,717,736,735,737,738,744,745,747,746,748,749,750,753,755,754,757,756,759,
758,769,768,766,767,784,785,792,795,797,796,798,799,807,808,815,822,823,826,
825,830,829,827,828,835,836,836,838,843,842,845,844,863,864,871,870,876,875,
882,885,885,884,887,889,888,891,890,898,900,899,903,904,914,921,922,923,927,
928,935,934,938,940] );

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

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##
#E