GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
#############################################################################
##
#W tmhsmcl.tom GAP table of marks library Thomas Merkwitz
##
#H @(#)$Id: tmhsmcl.tom,v 4.3 2001/07/05 07:00:59 gap Exp $
##
#Y Copyright (C) 1997, Lehrstuhl D fuer Mathematik, RWTH Aachen, Germany
#Y (C) 1998 School Math and Comp. Sci., University of St. Andrews, Scotland
##
## This file contains the table of marks of the ATLAS groups $McL$ and $HS$.
##
#H tomlib history
#H --------------
#H $Log: tmhsmcl.tom,v $
#H Revision 4.3 2001/07/05 07:00:59 gap
#H first revision for tomlib
#H
#H
#H tom history (GAP 4)
#H -------------------
#H (Rev. 4.3 of tomlib coincides with Rev. 4.2 of tom in GAP 4)
#H
#H RCS file: /gap/CVS/GAP/4.0/tom/tmhsmcl.tom,v
#H Working file: tmhsmcl.tom
#H head: 4.2
#H branch:
#H locks: strict
#H access list:
#H symbolic names:
#H GAP4R2: 4.2.0.10
#H GAP4R2PRE2: 4.2.0.8
#H GAP4R2PRE1: 4.2.0.2
#H GAP4R1: 4.2.0.6
#H GAP4B5: 4.2.0.4
#H dec16-98b: 4.2
#H GAP4b4: 4.2
#H version-14-apr: 4.2
#H version-15-jun: 4.2
#H keyword substitution: kv
#H total revisions: 3; selected revisions: 3
#H description:
#H ----------------------------
#H revision 4.2
#H date: 1998/03/27 15:21:26; author: gap; state: Exp; lines: +80 -2
#H added some more fusions
#H T.Merkwitz
#H ----------------------------
#H revision 4.1
#H date: 1997/11/20 11:43:14; author: gap; state: Exp; lines: +2 -2
#H changed revision number to 4.1
#H ----------------------------
#H revision 1.1
#H date: 1997/11/17 12:58:53; author: gap; state: Exp;
#H added new table of marks library file
#H ==========================================================================
#H
Revision.tmhsmcl_tom :=
"@(#)$Id: tmhsmcl.tom,v 4.3 2001/07/05 07:00:59 gap Exp $";
SetActualLibFileName("tmhsmcl");
LIBTOM( "HS",
[[1],[1,2],[1,3],[1,4],[1,2,5],[1,2,6],[1,2,7],[1,2,8],[1,2,9],[1,3,10],[1,2,
3,11],[1,2,3,12],[1,13],[1,14],[1,15],[1,3,4,16],[1,3,4,17],[1,2,4,18],[1,3,4,
19],[1,2,4,20],[1,21],[1,2,8,22],[1,2,8,9,23],[1,2,3,8,11,12,24],[1,2,3,10,12,
25],[1,2,3,9,11,12,26],[1,2,6,8,27],[1,2,6,8,28],[1,2,5,6,8,29],[1,2,7,8,30],[
1,2,3,5,7,12,31],[1,2,3,6,7,12,32],[1,2,3,7,12,33],[1,2,7,34],[1,2,7,35],[1,2,
6,36],[1,2,6,7,37],[1,2,3,5,9,11,38],[1,2,3,7,12,39],[1,2,3,7,12,40],[1,2,3,7,
11,41],[1,2,3,6,12,42],[1,2,6,8,43],[1,2,3,7,8,12,44],[1,2,3,6,9,11,45],[1,2,
7,9,46],[1,2,7,47],[1,2,7,48],[1,2,6,49],[1,4,50],[1,2,14,51],[1,3,13,52],[1,
3,14,53],[1,2,15,54],[1,2,13,55],[1,3,14,56],[1,57],[1,2,4,9,58],[1,3,4,10,
59],[1,2,4,8,60],[1,2,4,9,61],[1,2,4,9,20,62],[1,2,3,4,11,19,20,63],[1,2,3,4,
11,16,18,19,64],[1,2,3,4,12,17,18,19,65],[1,2,3,4,12,16,17,20,66],[1,2,3,4,11,
17,20,67],[1,2,4,9,18,20,68],[1,2,4,7,20,69],[1,2,4,5,20,70],[1,3,21,71],[1,4,
14,72],[1,2,8,9,23,73],[1,2,3,8,9,11,12,23,24,26,74],[1,2,5,6,8,22,27,29,75],[
1,2,5,6,8,9,23,28,29,76],[1,2,3,5,6,7,8,11,12,24,29,30,31,32,77],[1,2,3,5,7,
10,12,25,31,33,78],[1,2,6,8,27,79],[1,2,7,8,30,80],[1,2,5,6,8,27,29,81],[1,2,
6,7,8,28,30,82],[1,2,5,6,7,8,28,29,30,83],[1,2,3,6,8,11,12,24,27,42,84],[1,2,
6,8,9,22,23,28,43,85],[1,2,3,7,8,11,12,24,30,41,86],[1,2,6,8,9,23,27,43,87],[
1,2,7,8,9,23,30,46,88],[1,2,3,7,8,11,12,22,24,30,44,89],[1,2,3,6,8,9,11,12,23,
24,28,45,90],[1,2,3,6,7,10,12,25,32,39,40,42,91],[1,2,3,5,6,8,9,11,12,23,24,
29,38,45,92],[1,2,3,5,7,9,11,12,26,31,38,41,46,93],[1,2,3,7,8,10,11,12,24,25,
33,39,40,44,94],[1,2,3,6,7,9,11,12,26,32,41,45,46,95],[1,2,6,7,8,27,30,37,
96],[1,2,6,8,27,28,36,97],[1,2,3,6,7,12,32,33,34,35,37,98],[1,2,3,5,7,12,31,
35,39,99],[1,2,3,5,7,12,31,34,40,100],[1,2,5,6,8,29,36,43,101],[1,2,6,8,27,28,
36,43,102],[1,2,3,7,8,12,30,33,34,39,44,103],[1,2,3,7,8,12,30,33,35,40,44,
104],[1,2,3,5,6,7,8,12,29,31,37,42,44,105],[1,2,3,6,7,8,12,27,32,37,42,44,
106],[1,2,3,6,7,12,32,33,37,39,40,42,107],[1,2,6,8,9,23,28,108],[1,2,7,8,9,23,
30,109],[1,2,6,7,8,9,23,27,30,110],[1,2,3,6,8,11,12,24,27,28,111],[1,2,3,6,7,
8,11,12,24,28,30,112],[1,2,7,8,30,48,113],[1,2,7,8,30,47,114],[1,2,6,8,27,49,
115],[1,2,5,6,8,29,49,116],[1,2,6,8,27,49,117],[1,2,3,5,7,12,31,47,48,118],[1,
2,3,6,7,12,32,47,48,119],[1,2,3,7,11,12,40,41,48,120],[1,2,3,7,11,12,39,41,47,
121],[1,2,3,7,9,12,40,46,47,122],[1,2,3,7,9,12,39,46,48,123],[1,2,3,6,8,12,42,
43,49,124],[1,2,7,9,34,46,48,125],[1,2,7,9,35,46,47,126],[1,2,3,7,11,35,41,48,
127],[1,2,3,7,11,34,41,47,128],[1,2,6,7,8,37,43,49,129],[1,2,3,6,12,36,42,49,
130],[1,2,6,7,36,37,49,131],[1,3,4,19,50,132],[1,3,4,17,50,133],[1,2,4,18,50,
134],[1,2,4,18,20,50,135],[1,3,4,16,19,50,136],[1,2,5,14,51,137],[1,2,7,14,51,
138],[1,2,7,15,54,139],[1,3,10,14,56,140],[1,2,3,12,14,51,53,56,141],[1,3,10,
14,53,56,142],[1,2,3,12,13,52,55,143],[1,2,7,13,55,144],[1,2,5,13,55,145],[1,
4,21,146],[1,2,3,4,5,9,11,16,38,58,147],[1,2,3,4,6,9,11,17,45,58,148],[1,2,4,
7,9,18,46,58,149],[1,2,3,4,7,8,12,17,44,60,150],[1,2,4,6,8,18,43,60,151],[1,2,
4,7,9,18,46,61,152],[1,2,4,8,9,20,23,58,153],[1,2,3,4,9,11,12,19,26,58,154],[
1,2,4,8,20,22,60,155],[1,2,3,4,10,12,20,25,59,156],[1,2,3,4,9,11,12,16,17,20,
26,62,66,67,157],[1,2,3,4,9,11,12,16,17,18,19,20,26,63,64,65,66,68,158],[1,2,
4,7,20,35,159],[1,2,4,7,20,34,160],[1,2,4,6,20,36,161],[1,2,4,7,9,18,20,46,62,
68,69,162],[1,2,3,4,7,11,17,19,20,41,63,67,69,163],[1,2,3,4,5,7,12,16,17,20,
31,66,69,70,164],[1,2,3,4,5,9,11,17,18,20,38,67,68,70,165],[1,2,3,4,5,9,11,19,
20,38,62,63,70,166],[1,13,14,167],[1,13,15,168],[1,3,4,14,16,56,72,169],[1,2,
4,14,20,51,72,170],[1,3,4,14,17,53,72,171],[1,2,5,6,8,22,27,29,75,79,81,172],[
1,2,6,8,27,28,36,43,97,102,173],[1,2,3,6,7,8,12,27,30,32,33,34,35,37,39,40,42,
44,96,98,103,104,106,107,174],[1,2,6,8,9,22,23,27,28,36,43,85,87,102,175],[1,
2,3,7,8,10,11,12,22,24,25,30,33,34,35,39,40,44,89,94,103,104,176],[1,2,3,6,7,
8,10,11,12,24,25,27,32,33,37,39,40,42,44,84,91,94,106,107,177],[1,2,3,5,6,8,9,
11,12,23,24,26,28,29,38,45,73,74,76,90,92,178],[1,2,3,5,6,7,8,9,11,12,23,24,
26,29,30,31,32,38,41,45,46,74,77,86,88,92,93,95,179],[1,2,6,8,9,22,23,28,43,
73,85,108,180],[1,2,3,6,8,9,11,12,23,24,26,27,28,43,45,74,87,90,108,111,181],[
1,2,3,6,7,8,9,11,12,22,23,24,26,28,30,43,44,74,85,89,109,112,182],[1,2,6,7,8,
9,23,27,30,43,46,73,87,88,109,110,183],[1,2,3,6,7,8,9,11,12,23,24,26,27,28,30,
41,42,45,74,84,86,90,110,111,112,184],[1,2,3,7,8,11,12,22,24,30,41,44,80,86,
89,185],[1,2,3,5,6,8,9,11,12,23,24,27,29,38,42,43,45,81,84,87,92,186],[1,2,3,
6,7,8,9,11,12,22,23,24,28,30,43,44,45,46,82,85,88,89,90,187],[1,2,6,7,8,9,23,
27,30,37,43,79,87,96,110,188],[1,2,3,6,8,11,12,24,27,28,36,42,79,84,97,111,
189],[1,2,3,6,7,8,11,12,24,27,28,30,37,41,82,86,96,111,112,190],[1,2,6,7,8,9,
23,27,30,37,46,80,88,96,109,110,191],[1,2,3,6,7,8,9,11,12,23,24,27,28,30,36,
45,82,90,97,108,110,111,112,192],[1,2,3,5,6,7,8,11,12,22,24,27,29,30,31,32,37,
42,44,75,77,84,89,96,105,106,193],[1,2,5,6,8,9,22,23,27,28,29,36,43,75,76,85,
87,97,101,102,194],[1,2,3,5,6,7,8,10,11,12,24,25,29,30,31,32,33,34,35,37,39,
40,42,44,77,78,91,94,98,99,100,103,104,105,107,195],[1,2,5,6,7,8,27,28,29,30,
36,37,81,83,96,97,196],[1,2,3,5,6,7,8,11,12,24,28,29,30,31,32,77,80,82,83,112,
197],[1,2,5,6,7,8,9,23,28,29,30,76,82,83,108,109,198],[1,2,6,8,9,23,27,28,43,
87,108,199],[1,2,6,7,8,9,23,27,30,43,87,109,200],[1,2,6,7,8,9,22,23,28,30,43,
85,108,109,201],[1,2,5,6,8,22,27,29,49,75,115,116,117,202],[1,2,3,5,6,7,8,11,
12,24,29,30,31,32,47,48,77,113,114,118,119,203],[1,2,6,8,27,28,36,49,97,117,
204],[1,2,6,7,8,27,30,37,47,96,114,205],[1,2,6,7,8,27,30,37,48,96,113,206],[1,
2,6,7,8,27,30,37,49,96,115,207],[1,2,3,6,8,11,12,24,27,42,49,84,115,208],[1,2,
6,8,9,23,27,43,49,87,117,209],[1,2,3,7,8,11,12,22,24,30,44,47,48,89,113,114,
210],[1,2,3,5,6,7,8,9,11,12,22,23,24,27,28,29,30,38,43,44,45,75,83,85,89,92,
110,111,211],[1,2,3,5,6,7,8,9,11,12,23,24,28,29,30,38,45,46,76,83,88,90,92,
108,112,212],[1,2,3,5,6,7,8,9,11,12,23,24,28,29,30,31,32,38,41,45,77,83,86,90,
92,109,112,213],[1,2,6,7,8,27,28,30,36,37,43,49,96,102,117,129,131,214],[1,2,
3,6,7,8,12,27,28,32,36,37,42,44,49,97,106,115,130,131,215],[1,2,3,7,8,12,30,
33,34,39,44,48,80,103,113,216],[1,2,3,7,8,12,30,33,35,40,44,47,80,104,114,
217],[1,2,3,6,7,8,12,28,30,33,34,39,44,47,82,103,114,218],[1,2,3,6,7,8,12,28,
30,33,35,40,44,48,82,104,113,219],[1,2,3,5,6,7,8,12,27,29,32,37,42,44,49,81,
106,115,220],[1,2,5,6,8,27,28,29,36,43,49,81,102,117,221],[1,2,3,6,7,8,12,27,
32,37,42,44,49,79,106,115,222],[1,2,6,8,27,28,36,43,49,79,102,117,223],[1,2,3,
7,8,11,12,24,30,33,34,39,41,44,47,86,103,114,121,128,224],[1,2,3,7,8,11,12,24,
30,33,35,40,41,44,48,86,104,113,120,127,225],[1,2,3,7,8,9,12,23,30,33,35,40,
44,46,47,88,104,114,122,126,226],[1,2,3,7,8,9,12,23,30,33,34,39,44,46,48,88,
103,113,123,125,227],[1,2,3,6,7,8,9,12,23,27,32,37,42,43,44,49,87,106,115,124,
129,228],[1,2,3,6,8,11,12,24,27,28,36,42,43,49,84,102,117,124,130,229],[1,2,3,
5,7,9,11,12,26,31,35,38,39,41,46,47,48,93,99,118,121,123,126,127,230],[1,2,3,
5,7,9,11,12,26,31,34,38,40,41,46,47,48,93,100,118,120,122,125,128,231],[1,2,3,
5,6,7,8,9,11,12,23,24,27,28,29,30,31,32,38,45,76,77,81,83,92,110,111,232],[1,
2,5,6,8,27,29,49,81,116,233],[1,2,3,6,7,9,10,11,12,25,26,32,39,40,41,42,45,46,
47,48,91,95,119,120,121,122,123,234],[1,2,3,5,6,7,8,12,29,31,36,37,42,43,44,
49,101,105,116,124,129,130,131,235],[1,2,3,6,7,9,11,12,26,32,33,34,35,37,41,
45,46,47,48,95,98,119,125,126,127,128,236],[1,2,3,4,12,17,18,19,50,65,132,133,
134,237],[1,2,4,7,18,50,134,238],[1,2,4,6,18,50,134,239],[1,2,4,7,18,50,134,
240],[1,2,4,7,18,50,134,241],[1,2,3,4,11,16,18,19,50,64,134,136,242],[1,2,4,9,
18,20,50,68,134,135,243],[1,2,3,4,12,16,17,18,19,20,50,65,66,133,135,136,
244],[1,2,4,9,20,50,58,61,62,245],[1,2,3,4,11,16,18,19,20,50,63,64,132,135,
136,246],[1,2,3,10,12,14,25,51,53,56,140,141,142,247],[1,2,7,13,48,55,144,
248],[1,2,7,13,47,55,144,249],[1,2,3,7,12,14,33,51,53,56,138,141,250],[1,2,3,
5,7,12,14,31,51,53,56,137,138,141,251],[1,2,3,5,7,12,13,31,52,55,143,144,145,
252],[1,3,4,19,21,71,146,253],[1,2,4,8,9,23,60,61,73,254],[1,2,4,8,9,20,23,58,
62,73,153,255],[1,2,3,4,8,9,11,12,19,20,23,24,26,58,63,74,153,154,256],[1,2,4,
6,8,27,60,79,257],[1,2,4,7,8,30,60,80,258],[1,2,4,7,8,9,18,20,23,30,46,58,68,
88,149,153,259],[1,2,3,4,6,8,9,11,12,17,20,23,24,28,45,58,67,90,148,153,260],[
1,2,3,4,5,6,8,9,11,12,16,17,20,23,24,29,38,45,58,66,92,147,148,153,261],[1,2,
3,4,5,7,9,11,12,16,18,19,26,31,38,41,46,58,64,93,147,149,154,262],[1,2,3,4,6,
7,9,11,12,17,18,19,26,32,41,45,46,58,65,95,148,149,154,263],[1,2,4,6,8,9,18,
20,22,23,28,43,60,68,85,151,155,264],[1,2,3,4,7,8,11,12,17,20,22,24,30,44,60,
67,89,150,155,265],[1,2,4,5,6,8,9,20,23,28,29,58,70,76,153,266],[1,2,4,5,6,8,
20,22,27,29,60,70,75,155,267],[1,2,3,4,5,7,10,12,20,25,31,33,59,70,78,156,
268],[1,2,4,6,7,8,9,20,23,27,30,58,69,110,153,269],[1,2,3,4,6,12,16,17,20,36,
42,49,66,130,161,270],[1,2,3,4,7,11,17,20,35,41,48,67,127,159,271],[1,2,3,4,7,
11,17,20,34,41,47,67,128,160,272],[1,2,4,7,9,18,20,34,46,48,68,125,160,273],[
1,2,4,7,9,18,20,35,46,47,68,126,159,274],[1,2,3,4,5,7,12,20,31,34,40,70,100,
160,275],[1,2,3,4,5,7,12,20,31,35,39,70,99,159,276],[1,2,4,5,6,8,20,29,36,43,
70,101,161,277],[1,2,4,6,7,20,36,37,49,69,131,161,278],[1,2,3,4,5,7,9,11,12,
16,17,18,19,20,26,31,38,41,46,62,63,64,65,66,67,68,69,70,93,157,158,162,163,
164,165,166,279],[1,3,13,14,52,53,167,280],[1,2,13,14,51,55,167,281],[1,3,13,
14,52,56,167,282],[1,2,13,15,54,55,168,283],[1,15,57,284],[1,2,8,21,22,285],[
1,3,4,10,13,16,52,59,286],[1,2,4,9,14,18,51,58,287],[1,2,4,9,15,18,54,61,
288],[1,2,4,9,15,18,54,61,289],[1,2,4,8,15,18,54,60,290],[1,3,4,10,14,56,59,
72,140,291],[1,2,4,5,14,20,51,70,72,137,170,292],[1,2,3,4,12,14,16,17,20,51,
53,56,66,72,141,169,170,171,293],[1,2,4,7,14,20,51,69,72,138,170,294],[1,2,5,
6,8,22,27,29,75,79,81,172,295],[1,2,5,6,8,9,22,23,27,28,29,36,43,75,76,85,87,
97,101,102,173,175,194,296],[1,2,3,5,6,7,8,10,11,12,22,24,25,27,29,30,31,32,
33,34,35,37,39,40,42,44,75,77,78,84,89,91,94,96,98,99,100,103,104,105,106,107,
174,176,177,193,195,297],[1,2,6,7,8,9,23,27,30,37,43,46,73,79,80,87,88,96,109,
110,183,188,191,298],[1,2,3,6,7,8,9,11,12,23,24,26,27,28,30,36,37,41,42,43,45,
74,79,82,84,86,87,90,96,97,108,110,111,112,181,184,188,189,190,192,299],[1,2,
3,6,8,9,11,12,22,23,24,26,27,28,36,43,45,74,85,87,90,102,108,111,175,181,199,
300],[1,2,6,7,8,9,22,23,27,28,30,36,43,46,73,85,87,88,102,109,110,175,183,200,
301],[1,2,3,6,7,8,9,11,12,22,23,24,26,27,28,30,36,43,44,45,74,85,87,89,90,102,
108,109,111,112,175,181,182,200,201,302],[1,2,6,7,8,9,22,23,27,28,30,36,43,46,
73,85,87,88,102,108,109,110,175,180,183,199,201,303],[1,2,5,6,8,22,27,29,49,
75,115,116,117,202,304],[1,2,3,5,6,8,9,11,12,23,24,27,28,29,38,42,43,45,81,84,
87,92,108,186,199,305],[1,2,3,5,6,7,8,9,11,12,23,24,27,29,30,38,42,43,45,81,
84,87,92,109,186,200,306],[1,2,3,5,6,7,8,11,12,22,24,27,29,30,31,32,37,42,44,
49,75,77,84,89,96,105,106,115,116,117,193,202,207,208,307],[1,2,5,6,8,9,22,23,
27,28,29,36,43,49,75,76,85,87,97,101,102,115,116,117,194,202,204,209,308],[1,
2,3,5,6,7,8,11,12,22,24,27,29,30,31,32,37,42,44,47,48,75,77,84,89,96,105,106,
113,114,118,119,193,203,205,206,210,309],[1,2,5,6,8,22,27,29,49,75,79,81,115,
116,117,172,202,233,310],[1,2,5,6,7,8,27,28,29,30,36,37,48,81,83,96,97,113,
196,206,311],[1,2,5,6,7,8,27,28,29,30,36,37,47,81,83,96,97,114,196,205,312],[
1,2,3,5,6,7,8,9,11,12,22,23,24,27,28,29,30,31,32,36,37,38,42,43,44,45,75,76,
77,79,81,83,84,85,87,89,92,96,97,101,102,105,106,110,111,172,186,188,189,193,
194,196,211,232,313],[1,2,6,7,8,9,23,27,28,30,43,46,49,73,87,88,108,109,110,
117,183,199,209,314],[1,2,3,6,8,9,11,12,23,24,26,27,28,43,45,49,74,87,90,108,
111,117,181,199,209,315],[1,2,6,7,8,9,23,27,30,43,46,49,73,87,88,109,110,117,
183,200,209,316],[1,2,3,6,7,8,9,11,12,23,24,26,27,28,30,43,45,49,74,87,90,108,
109,111,117,181,200,209,317],[1,2,3,5,6,7,8,9,11,12,23,24,26,27,28,29,30,31,
32,38,41,42,43,45,46,73,74,76,77,81,83,84,86,87,88,90,92,93,95,108,109,110,
111,112,178,179,181,183,184,186,212,213,232,318],[1,2,3,5,6,7,8,9,10,11,12,23,
24,25,27,29,32,33,37,38,39,40,42,43,44,45,49,81,84,87,91,92,94,106,107,115,
124,129,177,186,208,220,228,319],[1,2,3,5,6,8,9,11,12,22,23,24,27,28,29,36,38,
42,43,45,49,81,84,85,87,92,102,117,124,130,175,186,209,221,229,320],[1,2,3,7,
8,10,11,12,22,24,25,30,33,34,35,39,40,41,44,47,48,80,86,89,94,103,104,113,114,
120,121,127,128,176,185,210,216,217,224,225,321],[1,2,3,6,7,8,9,10,11,12,22,
23,24,25,28,30,33,34,35,39,40,43,44,45,46,47,48,82,85,88,89,90,94,103,104,113,
114,122,123,125,126,176,187,210,218,219,226,227,322],[1,2,5,6,7,8,27,28,29,30,
36,37,49,81,83,96,97,116,196,233,323],[1,2,6,7,8,9,23,27,28,30,37,43,79,87,96,
108,109,110,188,199,200,324],[1,2,3,6,7,8,11,12,24,27,28,30,32,33,34,35,37,39,
40,41,42,44,48,82,86,96,98,103,104,106,107,111,112,113,120,127,174,190,206,
219,225,325],[1,2,3,6,7,8,11,12,24,27,28,30,32,33,34,35,37,39,40,41,42,44,47,
82,86,96,98,103,104,106,107,111,112,114,121,128,174,190,205,218,224,326],[1,2,
3,6,7,8,9,12,23,27,30,32,33,34,35,37,39,40,42,43,44,49,79,87,96,98,103,104,
106,107,110,115,124,129,174,188,207,222,228,327],[1,2,3,6,8,11,12,24,27,28,36,
42,43,49,79,84,97,102,111,117,124,130,173,189,204,223,229,328],[1,2,3,6,7,8,9,
12,23,27,30,32,33,34,35,37,39,40,42,44,46,48,80,88,96,98,103,104,106,107,109,
110,113,123,125,174,191,206,216,227,329],[1,2,3,6,7,8,9,12,23,27,30,32,33,34,
35,37,39,40,42,44,46,47,80,88,96,98,103,104,106,107,109,110,114,122,126,174,
191,205,217,226,330],[1,2,3,5,6,7,8,9,11,12,23,24,27,28,29,30,31,32,36,37,38,
41,45,46,76,77,80,81,82,83,86,88,90,92,96,97,108,109,110,111,112,190,191,192,
196,197,198,212,213,232,331],[1,2,5,6,7,8,9,22,23,27,28,29,30,36,43,75,76,82,
83,85,87,97,101,102,108,109,194,198,199,200,201,332],[1,2,6,7,8,9,23,27,30,37,
46,47,49,80,88,96,109,110,114,115,191,205,207,333],[1,2,6,7,8,9,23,27,30,37,
46,48,49,80,88,96,109,110,113,115,191,206,207,334],[1,2,6,7,8,9,23,27,30,37,
43,47,48,79,87,96,110,113,114,188,205,206,335],[1,2,3,6,7,8,11,12,24,27,28,30,
37,41,47,49,82,86,96,111,112,114,115,190,205,207,336],[1,2,3,6,7,8,11,12,24,
27,28,30,37,41,48,49,82,86,96,111,112,113,115,190,206,207,337],[1,2,5,6,8,9,
22,23,27,28,29,36,43,49,75,76,79,81,85,87,97,101,102,115,116,117,172,194,202,
221,223,338],[1,2,3,5,6,7,8,11,12,22,24,27,29,30,31,32,37,42,44,49,75,77,79,
81,84,89,96,105,106,115,116,117,172,193,202,220,222,339],[1,2,6,7,8,9,22,23,
27,28,30,36,37,43,49,79,85,87,96,102,110,117,129,131,175,188,209,214,223,
340],[1,2,3,6,7,8,10,11,12,24,25,27,28,32,33,36,37,39,40,42,44,49,79,84,91,94,
97,106,107,111,115,130,131,177,189,208,215,222,341],[1,2,3,5,6,7,8,9,11,12,22,
23,24,26,27,28,29,30,36,38,43,44,45,46,73,74,75,76,82,83,85,87,88,89,90,92,97,
101,102,108,109,110,111,112,178,180,181,182,183,187,192,194,198,211,212,342],[
1,2,3,5,6,7,8,9,11,12,22,23,24,26,27,28,29,30,31,32,37,38,41,42,43,44,45,46,
74,75,77,80,82,83,84,85,86,88,89,90,92,93,95,96,105,106,109,110,111,112,179,
182,184,185,187,190,191,193,197,211,213,343],[1,2,3,5,6,8,9,11,12,23,24,27,29,
38,42,43,45,49,81,84,87,92,116,186,233,344],[1,2,3,5,6,7,8,9,11,12,22,23,24,
27,28,29,30,31,32,36,37,42,43,44,49,75,76,77,84,85,87,89,96,97,101,102,105,
106,115,116,117,124,129,130,131,193,194,202,214,215,228,229,235,345],[1,2,5,6,
7,8,27,28,29,30,36,37,43,49,81,83,96,97,102,117,129,131,173,196,204,214,221,
346],[1,2,3,5,6,7,8,12,27,28,29,30,32,33,34,35,36,37,39,40,42,44,49,81,83,96,
97,98,103,104,106,107,115,130,131,174,196,207,215,220,347],[1,2,3,5,6,7,8,9,
10,11,12,23,24,25,26,29,30,31,32,33,34,35,37,38,39,40,41,42,44,45,46,47,48,74,
77,78,86,88,91,92,93,94,95,98,99,100,103,104,105,107,113,114,118,119,120,121,
122,123,125,126,127,128,179,195,203,224,225,226,227,230,231,234,236,348],[1,2,
3,5,6,7,8,10,11,12,24,25,28,29,30,31,32,33,34,35,37,39,40,42,44,47,48,77,78,
80,82,83,91,94,98,99,100,103,104,105,107,112,113,114,118,119,195,197,203,216,
217,218,219,349],[1,2,4,7,18,47,50,134,238,350],[1,2,4,7,18,48,50,134,238,
351],[1,2,4,7,18,34,50,134,238,240,352],[1,2,4,7,18,35,50,134,238,241,353],[1,
2,4,6,7,18,37,50,134,239,240,241,354],[1,2,3,4,6,7,12,17,18,19,32,50,65,132,
133,134,237,238,239,355],[1,2,3,4,7,12,17,18,19,33,50,65,132,133,134,237,240,
241,356],[1,2,3,4,7,11,16,18,19,41,50,64,134,136,238,242,357],[1,2,4,7,9,18,
20,46,50,68,134,135,238,243,358],[1,2,3,4,6,9,11,16,18,19,20,45,50,64,68,134,
135,136,239,242,243,359],[1,2,4,7,9,18,20,46,50,58,61,62,68,69,134,149,152,
162,245,360],[1,2,3,4,9,11,12,16,17,19,20,26,50,58,61,62,66,67,136,154,157,
245,361],[1,2,3,4,9,11,12,16,17,18,19,20,26,50,63,64,65,66,68,132,133,134,135,
136,158,237,242,243,244,246,362],[1,2,3,4,5,9,11,16,19,20,38,50,58,61,62,63,
70,136,147,166,245,363],[1,2,8,9,15,23,73,364],[1,2,3,5,7,10,12,14,25,31,33,
51,53,56,78,137,138,140,141,142,247,250,251,365],[1,2,3,5,7,12,13,31,47,48,52,
55,118,143,144,145,248,249,252,366],[1,2,4,6,8,9,20,22,23,27,28,36,43,58,60,
85,87,102,153,155,161,175,367],[1,2,3,4,7,8,10,11,12,20,22,24,25,30,33,34,35,
39,40,44,59,60,89,94,103,104,155,156,159,160,176,368],[1,2,3,4,5,6,8,9,11,12,
16,17,20,23,24,26,28,29,38,45,58,62,66,67,73,74,76,90,92,147,148,153,157,178,
255,260,261,369],[1,2,3,4,5,6,7,8,9,11,12,16,17,18,19,20,23,24,26,29,30,31,32,
38,41,45,46,58,63,64,65,66,68,74,77,86,88,92,93,95,147,148,149,153,154,158,
179,256,259,261,262,263,370],[1,2,4,6,8,9,18,22,23,28,43,60,61,73,85,108,151,
180,254,371],[1,2,4,6,7,8,9,18,23,27,30,43,46,60,61,73,87,88,109,110,151,152,
183,254,372],[1,2,4,5,6,8,20,22,27,29,60,75,79,81,155,172,257,373],[1,2,3,4,6,
7,8,9,11,12,17,19,20,23,24,26,27,28,30,41,42,45,58,63,67,69,74,84,86,90,110,
111,112,148,153,154,163,184,256,260,269,374],[1,2,4,6,7,8,9,18,20,23,27,30,43,
46,58,62,68,69,73,87,88,109,110,149,153,162,183,255,259,269,375],[1,2,3,4,5,6,
7,8,9,11,12,17,18,20,23,24,28,29,30,38,45,46,58,67,68,70,76,83,88,90,92,108,
112,148,149,153,165,212,259,260,266,376],[1,2,3,4,5,6,7,8,9,11,12,17,18,20,22,
23,24,27,28,29,30,38,43,44,45,60,67,68,70,75,83,85,89,92,110,111,150,151,155,
165,211,264,265,267,377],[1,2,3,4,6,7,8,12,17,27,32,37,42,44,49,60,79,106,115,
150,222,257,378],[1,2,3,4,7,8,12,17,30,33,35,40,44,47,60,80,104,114,150,217,
258,379],[1,2,3,4,7,8,12,17,30,33,34,39,44,48,60,80,103,113,150,216,258,380],[
1,2,4,6,8,18,27,28,36,43,49,60,79,102,117,151,223,257,381],[1,2,3,4,5,6,7,8,9,
11,12,16,17,20,23,24,27,28,29,30,31,32,38,45,58,66,69,70,76,77,81,83,92,110,
111,147,148,153,164,232,261,266,269,382],[1,2,3,4,5,6,8,9,11,12,19,20,23,24,
26,28,29,38,45,58,62,63,70,73,74,76,90,92,153,154,166,178,255,256,266,383],[1,
2,3,4,7,8,11,12,20,22,24,30,41,44,60,80,86,89,155,185,258,384],[1,2,4,6,8,9,
20,22,23,28,43,60,61,73,85,108,155,180,254,385],[1,2,3,4,5,7,9,11,12,17,18,20,
26,31,34,38,40,41,46,47,48,67,68,70,93,100,118,120,122,125,128,160,165,231,
272,273,275,386],[1,2,3,4,5,7,9,11,12,17,18,20,26,31,35,38,39,41,46,47,48,67,
68,70,93,99,118,121,123,126,127,159,165,230,271,274,276,387],[1,2,3,4,5,6,7,8,
12,16,17,20,29,31,36,37,42,43,44,49,66,69,70,101,105,116,124,129,130,131,161,
164,235,270,277,278,388],[1,2,7,13,14,51,55,138,144,167,281,389],[1,2,7,13,15,
54,55,139,144,168,283,390],[1,2,5,13,14,51,55,137,145,167,281,391],[1,2,3,12,
13,14,51,52,53,55,56,141,143,167,280,281,282,392],[1,2,3,4,5,9,11,14,16,18,19,
38,51,58,64,137,147,287,393],[1,2,4,7,9,14,18,20,46,51,58,68,138,149,287,
394],[1,2,4,7,9,15,18,20,46,54,61,68,139,152,289,395],[1,2,4,7,9,15,18,20,46,
54,61,68,139,152,288,396],[1,2,3,4,7,8,12,15,17,18,19,44,54,60,65,139,150,290,
397],[1,2,4,7,13,20,35,55,69,144,159,398],[1,2,4,7,13,20,34,55,69,144,160,
399],[1,2,3,4,10,12,13,16,17,20,25,52,55,59,66,143,156,286,400],[1,2,3,4,9,11,
12,14,17,18,19,26,51,53,56,58,65,141,154,287,401],[1,2,3,4,10,12,14,20,25,51,
53,56,59,72,140,141,142,156,170,247,291,402],[1,2,3,4,5,7,12,14,16,17,20,31,
51,53,56,66,69,70,72,137,138,141,164,169,170,171,251,292,293,294,403],[1,13,
14,15,167,168,404],[1,2,3,5,6,7,8,9,11,12,22,23,24,26,27,28,29,30,31,32,36,37,
38,41,42,43,44,45,46,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,92,93,
95,96,97,101,102,105,106,108,109,110,111,112,172,178,179,180,181,182,183,184,
185,186,187,188,189,190,191,192,193,194,196,197,198,211,212,213,232,298,299,
313,318,331,342,343,405],[1,2,3,5,6,7,8,9,11,12,22,23,24,26,27,28,29,30,36,38,
43,44,45,46,73,74,75,76,82,83,85,87,88,89,90,92,97,101,102,108,109,110,111,
112,173,175,178,180,181,182,183,187,192,194,198,199,200,201,211,212,296,300,
301,302,303,332,342,406],[1,2,3,5,6,7,8,9,11,12,22,23,24,27,28,29,30,31,32,36,
37,38,42,43,44,45,49,75,76,77,79,81,83,84,85,87,89,92,96,97,101,102,105,106,
110,111,115,116,117,124,129,130,131,172,173,175,186,188,189,193,194,196,202,
204,209,211,214,215,221,223,228,229,232,235,296,308,313,320,328,338,340,345,
346,407],[1,2,3,5,6,7,8,9,10,11,12,22,23,24,25,27,28,29,30,31,32,33,34,35,36,
37,38,39,40,42,43,44,45,49,75,76,77,78,79,81,83,84,85,87,89,91,92,94,96,97,98,
99,100,101,102,103,104,105,106,107,110,111,115,116,117,124,129,130,131,172,
174,176,177,186,188,189,193,194,195,196,202,207,208,211,214,215,220,222,228,
229,232,235,297,307,313,319,327,339,341,345,347,408],[1,2,3,5,6,7,8,9,11,12,
22,23,24,27,28,29,30,31,32,36,37,38,42,43,44,45,75,76,77,79,81,82,83,84,85,87,
89,92,96,97,101,102,105,106,108,109,110,111,172,186,188,189,193,194,196,198,
199,200,201,211,232,305,306,313,324,332,409],[1,2,3,5,6,7,8,9,11,12,22,23,24,
27,28,29,30,31,32,36,37,38,42,43,44,45,49,75,76,77,79,81,83,84,85,87,89,92,96,
97,101,102,105,106,110,111,115,116,117,172,186,188,189,193,194,196,202,211,
220,221,222,223,232,233,295,310,313,338,339,410],[1,2,3,5,6,7,8,9,11,12,22,23,
24,27,28,29,30,31,32,36,37,38,42,43,44,45,47,48,75,76,77,79,81,83,84,85,87,89,
92,96,97,101,102,105,106,110,111,113,114,118,119,172,186,188,189,193,194,196,
203,205,206,210,211,232,309,311,312,313,335,411],[1,2,3,5,6,7,8,9,11,12,22,23,
24,27,28,29,30,31,32,36,37,38,42,43,44,45,49,75,76,77,79,81,83,84,85,87,89,92,
96,97,101,102,105,106,110,111,115,116,117,172,186,188,189,193,194,196,202,211,
232,233,310,313,323,344,412],[1,2,3,5,6,7,8,9,11,12,22,23,24,26,27,28,29,30,
31,32,36,38,41,42,43,44,45,46,49,73,74,76,77,81,83,84,85,86,87,88,89,90,92,93,
95,102,108,109,110,111,112,117,124,130,175,178,179,181,182,183,184,186,200,
201,209,212,213,221,229,232,301,302,306,316,317,318,320,413],[1,2,3,5,6,7,8,9,
11,12,22,23,24,26,27,28,29,30,31,32,36,38,41,42,43,45,46,49,73,74,76,77,81,83,
84,85,86,87,88,90,92,93,95,102,108,109,110,111,112,117,124,130,175,178,179,
180,181,183,184,186,199,201,209,212,213,221,229,232,300,303,305,314,315,318,
320,414],[1,2,3,5,6,7,8,9,11,12,23,24,27,28,29,30,31,32,33,34,35,36,37,38,39,
40,41,42,44,45,46,47,49,76,77,80,81,82,83,86,88,90,92,96,97,98,103,104,106,
107,108,109,110,111,112,114,115,121,122,126,128,130,131,174,190,191,192,196,
197,198,205,207,212,213,215,217,218,220,224,226,232,312,326,330,331,333,336,
347,415],[1,2,3,5,6,7,8,9,11,12,23,24,27,28,29,30,31,32,33,34,35,36,37,38,39,
40,41,42,44,45,46,48,49,76,77,80,81,82,83,86,88,90,92,96,97,98,103,104,106,
107,108,109,110,111,112,113,115,120,123,125,127,130,131,174,190,191,192,196,
197,198,206,207,212,213,215,216,219,220,225,227,232,311,325,329,331,334,337,
347,416],[1,2,3,5,6,7,8,9,10,11,12,22,23,24,25,26,27,28,29,30,31,32,33,34,35,
37,38,39,40,41,42,43,44,45,46,47,48,74,75,77,78,80,82,83,84,85,86,88,89,90,91,
92,93,94,95,96,98,99,100,103,104,105,106,107,109,110,111,112,113,114,118,119,
120,121,122,123,125,126,127,128,174,176,177,179,182,184,185,187,190,191,193,
195,197,203,205,206,210,211,213,216,217,218,219,224,225,226,227,230,231,234,
236,297,309,321,322,325,326,329,330,343,348,349,417],[1,2,3,5,6,7,8,9,11,12,
22,23,24,26,27,28,29,30,31,32,37,38,41,42,43,44,45,46,47,48,49,74,75,77,80,82,
83,84,85,86,88,89,90,92,93,95,96,105,106,109,110,111,112,113,114,115,116,117,
118,119,179,182,184,185,187,190,191,193,197,202,203,205,206,207,208,210,211,
213,307,309,333,334,336,337,343,418],[1,2,3,6,7,8,9,11,12,22,23,24,26,27,28,
30,36,37,41,42,43,44,45,49,74,79,82,84,85,86,87,89,90,96,97,102,108,109,110,
111,112,117,129,131,175,181,182,184,188,189,190,192,199,200,201,209,214,223,
299,300,302,315,317,324,340,419],[1,2,6,7,8,9,22,23,27,28,30,36,37,43,46,49,
73,79,80,85,87,88,96,102,108,109,110,117,129,131,175,180,183,188,191,199,200,
201,209,214,223,298,301,303,314,316,324,340,420],[1,2,3,5,6,7,8,9,10,11,12,23,
24,25,27,29,30,32,33,37,38,39,40,42,43,44,45,49,81,84,87,91,92,94,106,107,109,
115,116,124,129,177,186,200,208,220,228,233,306,319,344,421],[1,2,3,5,6,7,8,9,
10,11,12,23,24,25,27,28,29,32,33,37,38,39,40,42,43,44,45,49,81,84,87,91,92,94,
106,107,108,115,116,124,129,177,186,199,208,220,228,233,305,319,344,422],[1,2,
3,6,7,8,9,11,12,23,24,26,27,28,30,32,33,34,35,36,37,39,40,41,42,43,44,45,47,
48,49,74,79,82,84,86,87,90,96,97,98,103,104,106,107,108,110,111,112,113,114,
115,120,121,124,127,128,129,174,181,184,188,189,190,192,205,206,207,218,219,
222,224,225,228,299,325,326,327,335,336,337,423],[1,2,3,6,7,8,9,12,23,27,30,
32,33,34,35,37,39,40,42,43,44,46,47,48,49,73,79,80,87,88,96,98,103,104,106,
107,109,110,113,114,115,122,123,124,125,126,129,174,183,188,191,205,206,207,
216,217,222,226,227,228,298,327,329,330,333,334,335,424],[1,2,3,5,6,7,8,9,11,
12,22,23,24,26,27,28,29,30,36,38,43,44,45,46,49,73,74,75,76,82,83,85,87,88,89,
90,92,97,101,102,108,109,110,111,112,115,116,117,178,180,181,182,183,187,192,
194,198,199,200,201,202,204,209,211,212,308,314,315,316,317,332,342,425],[1,2,
5,6,7,8,27,28,29,30,36,37,43,48,49,81,83,96,97,102,113,116,117,129,131,173,
196,204,206,214,221,233,311,323,346,426],[1,2,5,6,7,8,27,28,29,30,36,37,43,47,
49,81,83,96,97,102,114,116,117,129,131,173,196,204,205,214,221,233,312,323,
346,427],[1,2,3,5,6,7,8,9,11,12,22,23,24,27,28,29,30,31,32,36,37,42,43,44,49,
75,76,77,79,81,84,85,87,89,96,97,101,102,105,106,115,116,117,124,129,130,131,
172,193,194,202,204,207,208,209,214,215,220,221,222,223,228,229,233,235,304,
307,308,310,338,339,345,428],[1,2,4,8,9,20,23,50,58,60,61,62,73,153,245,254,
255,429],[1,2,4,7,9,18,20,35,46,47,50,68,126,134,135,238,241,243,350,353,358,
430],[1,2,4,7,9,18,20,34,46,48,50,68,125,134,135,238,240,243,351,352,358,
431],[1,2,3,4,7,11,16,18,19,35,41,48,50,64,127,134,136,238,241,242,351,353,
357,432],[1,2,3,4,7,11,16,18,19,34,41,47,50,64,128,134,136,238,240,242,350,
352,357,433],[1,2,3,4,6,7,12,17,18,19,32,33,34,35,37,50,65,98,132,133,134,237,
238,239,240,241,352,353,354,355,356,434],[1,2,3,4,6,7,9,11,12,16,17,18,19,20,
26,32,41,45,46,50,63,64,65,66,68,95,132,133,134,135,136,158,237,238,239,242,
243,244,246,355,357,358,359,362,435],[1,2,3,4,6,7,12,17,18,19,32,47,48,50,65,
119,132,133,134,237,238,239,350,351,355,436],[1,2,3,4,5,7,9,11,12,16,17,18,19,
20,26,31,38,41,46,50,58,61,62,63,64,65,66,67,68,69,70,93,134,136,147,149,152,
154,157,158,162,163,164,165,166,242,245,262,279,360,361,363,437],[1,2,6,8,13,
27,28,36,43,55,97,102,173,438],[1,2,6,7,8,9,15,23,27,30,43,46,54,73,87,88,109,
110,183,364,439],[1,2,4,6,8,18,21,43,60,146,151,440],[1,2,4,7,9,18,21,46,61,
146,152,441],[1,2,4,7,9,18,21,46,61,146,152,442],[1,2,4,7,9,18,21,46,58,61,
146,149,152,443],[1,2,4,8,20,21,22,60,146,155,285,444],[1,2,4,9,14,18,20,50,
51,58,61,62,72,135,170,245,287,445],[1,2,4,6,7,8,9,23,27,30,37,43,46,60,61,73,
79,80,87,88,96,109,110,183,188,191,254,257,258,298,446],[1,2,3,4,6,8,9,11,12,
19,20,22,23,24,26,27,28,36,43,45,58,60,63,74,85,87,90,102,108,111,153,154,155,
161,175,181,199,256,300,367,447],[1,2,4,6,7,8,9,20,22,23,27,28,30,36,43,46,58,
60,62,73,85,87,88,102,109,110,153,155,161,175,183,200,255,301,367,448],[1,2,4,
5,6,8,9,20,22,23,27,28,29,36,43,58,60,70,75,76,85,87,97,101,102,153,155,161,
173,175,194,266,267,277,296,367,449],[1,2,3,4,5,6,7,8,10,11,12,20,22,24,25,27,
29,30,31,32,33,34,35,37,39,40,42,44,59,60,70,75,77,78,84,89,91,94,96,98,99,
100,103,104,105,106,107,155,156,159,160,174,176,177,193,195,267,268,275,276,
297,368,450],[1,2,4,6,7,8,9,18,20,22,23,27,28,30,36,43,46,58,60,68,73,85,87,
88,102,108,109,110,149,151,153,155,161,175,180,183,199,201,259,264,303,367,
451],[1,2,3,4,6,7,8,9,11,12,17,20,22,23,24,26,27,28,30,36,43,44,45,58,60,67,
74,85,87,89,90,102,108,109,111,112,148,150,153,155,161,175,181,182,200,201,
260,265,302,367,452],[1,2,4,6,7,8,9,20,22,23,27,28,30,36,37,43,49,58,60,69,79,
85,87,96,102,110,117,129,131,153,155,161,175,188,209,214,223,269,278,340,367,
453],[1,2,3,4,5,6,8,9,11,12,16,17,20,22,23,24,27,28,29,36,38,42,43,45,49,58,
60,66,81,84,85,87,92,102,117,124,130,147,148,153,155,161,175,186,209,221,229,
261,270,320,367,454],[1,2,3,4,7,8,10,11,12,17,20,22,24,25,30,33,34,35,39,40,
41,44,47,48,59,60,67,80,86,89,94,103,104,113,114,120,121,127,128,150,155,156,
159,160,176,185,210,216,217,224,225,265,271,272,321,368,455],[1,2,3,4,6,7,8,9,
10,11,12,18,20,22,23,24,25,28,30,33,34,35,39,40,43,44,45,46,47,48,59,60,68,82,
85,88,89,90,94,103,104,113,114,122,123,125,126,151,155,156,159,160,176,187,
210,218,219,226,227,264,273,274,322,368,456],[1,2,3,4,5,6,7,8,11,12,17,20,22,
24,27,29,30,31,32,37,42,44,49,60,67,75,77,79,81,84,89,96,105,106,115,116,117,
150,155,172,193,202,220,222,257,265,339,373,378,457],[1,2,4,5,6,8,9,18,20,22,
23,27,28,29,36,43,49,60,68,75,76,79,81,85,87,97,101,102,115,116,117,151,155,
172,194,202,221,223,257,264,338,373,381,458],[1,2,4,5,6,8,20,22,27,29,60,70,
75,79,81,155,172,257,267,295,373,459],[1,2,3,4,5,6,7,8,9,11,12,16,17,18,19,20,
23,24,26,27,28,29,30,31,32,38,41,42,43,45,46,58,62,63,64,65,66,67,68,69,70,73,
74,76,77,81,83,84,86,87,88,90,92,93,95,108,109,110,111,112,147,148,149,153,
154,157,158,162,163,164,165,166,178,179,181,183,184,186,212,213,232,255,256,
259,260,261,262,263,266,269,279,318,369,370,374,375,376,382,383,460],[1,2,4,6,
7,8,9,18,20,22,23,27,28,30,36,43,46,60,61,68,73,85,87,88,102,108,109,110,151,
152,155,175,180,183,199,201,254,264,303,371,372,385,461],[1,2,4,5,6,8,20,22,
27,29,49,60,70,75,115,116,117,155,202,267,304,462],[1,2,3,4,7,8,10,11,12,17,
20,22,24,25,30,33,34,35,39,40,41,44,47,48,60,67,80,86,89,94,103,104,113,114,
120,121,127,128,150,155,176,185,210,216,217,224,225,258,265,321,379,380,384,
463],[1,2,3,5,7,12,13,14,31,51,52,53,55,56,137,138,141,143,144,145,167,251,
252,280,281,282,389,391,392,464],[1,2,3,4,7,11,13,17,19,20,34,41,47,55,63,67,
69,128,144,160,163,249,272,399,465],[1,2,3,4,7,11,13,17,19,20,35,41,48,55,63,
67,69,127,144,159,163,248,271,398,466],[1,2,4,7,9,13,18,20,34,46,48,55,62,68,
69,125,144,160,162,248,273,399,467],[1,2,4,7,9,13,18,20,35,46,47,55,62,68,69,
126,144,159,162,249,274,398,468],[1,2,3,4,5,7,12,13,16,17,20,31,34,40,52,55,
66,69,70,100,143,144,145,160,164,252,275,399,469],[1,2,3,4,5,7,12,13,16,17,20,
31,35,39,52,55,66,69,70,99,143,144,145,159,164,252,276,398,470],[1,2,3,4,5,7,
10,12,13,16,17,20,25,31,33,52,55,59,66,69,70,78,143,144,145,156,164,252,268,
286,400,471],[1,2,3,4,5,7,9,11,12,14,16,17,18,19,20,26,31,38,41,46,51,53,56,
58,63,64,65,66,68,93,137,138,141,147,149,154,158,251,262,287,393,394,401,
472],[1,2,3,4,5,7,10,12,14,20,25,31,33,51,53,56,59,70,72,78,137,138,140,141,
142,156,170,247,250,251,268,291,292,365,402,473],[1,2,13,14,15,51,54,55,167,
168,281,283,404,474],[1,3,13,14,15,52,53,56,167,168,280,282,404,475],[1,2,3,5,
6,7,8,9,10,11,12,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,
44,45,49,75,76,77,78,79,81,83,84,85,87,89,91,92,94,96,97,98,99,100,101,102,
103,104,105,106,107,110,111,115,116,117,124,129,130,131,172,173,174,175,176,
177,186,188,189,193,194,195,196,202,204,207,208,209,211,214,215,220,221,222,
223,228,229,232,233,235,295,296,297,304,307,308,310,313,319,320,327,328,338,
339,340,341,345,346,347,407,408,410,428,476],[1,2,3,5,6,7,8,9,11,12,22,23,24,
26,27,28,29,30,31,32,36,37,38,41,42,43,44,45,46,49,73,74,75,76,77,79,80,81,82,
83,84,85,86,87,88,89,90,92,93,95,96,97,101,102,105,106,108,109,110,111,112,
115,116,117,172,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,
193,194,196,197,198,202,211,212,213,220,221,222,223,232,233,295,298,299,310,
313,318,323,331,338,339,342,343,344,405,410,412,477],[1,2,3,5,6,7,8,9,11,12,
22,23,24,27,28,29,30,31,32,36,37,38,42,43,44,45,47,48,49,75,76,77,79,81,83,84,
85,87,89,92,96,97,101,102,105,106,110,111,113,114,115,116,117,118,119,124,129,
130,131,172,173,175,186,188,189,193,194,196,202,203,204,205,206,209,210,211,
214,215,221,223,228,229,232,233,235,296,308,309,310,311,312,313,320,323,328,
335,338,340,344,345,346,407,411,412,426,427,478],[1,2,3,5,6,7,8,9,10,11,12,22,
23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,49,75,76,77,78,
79,81,82,83,84,85,87,89,91,92,94,96,97,98,99,100,101,102,103,104,105,106,107,
108,109,110,111,115,116,117,124,129,130,131,172,174,176,177,186,188,189,193,
194,195,196,198,199,200,201,202,207,208,211,214,215,220,222,228,229,232,233,
235,297,305,306,307,310,313,319,323,324,327,332,339,341,344,345,347,408,409,
412,421,422,479],[1,2,3,5,6,7,8,9,10,11,12,22,23,24,25,26,27,28,29,30,31,32,
33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,73,74,75,76,77,78,79,80,81,
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,
125,126,127,128,129,130,131,172,174,176,177,178,179,180,181,182,183,184,185,
186,187,188,189,190,191,192,193,194,195,196,197,198,202,203,205,206,207,208,
210,211,212,213,214,215,216,217,218,219,220,222,224,225,226,227,228,229,230,
231,232,234,235,236,297,298,299,307,309,311,312,313,318,319,321,322,325,326,
327,329,330,331,333,334,335,336,337,339,341,342,343,345,347,348,349,405,408,
411,415,416,417,418,423,424,480],[1,2,3,5,6,7,8,9,11,12,22,23,24,26,27,28,29,
30,31,32,36,37,38,41,42,43,44,45,46,49,73,74,75,76,77,79,80,81,82,83,84,85,86,
87,88,89,90,92,93,95,96,97,101,102,105,106,108,109,110,111,112,115,116,117,
124,129,130,131,172,173,175,178,179,180,181,182,183,184,185,186,187,188,189,
190,191,192,193,194,196,197,198,199,200,201,202,204,209,211,212,213,214,215,
221,223,228,229,232,235,296,298,299,300,301,302,303,305,306,308,313,314,315,
316,317,318,320,324,328,331,332,338,340,342,343,345,346,405,406,407,409,413,
414,419,420,425,481],[1,2,3,5,6,7,8,9,11,12,22,23,24,27,28,29,30,31,32,36,37,
38,42,43,44,45,47,48,49,75,76,77,79,81,82,83,84,85,87,89,92,96,97,101,102,105,
106,108,109,110,111,113,114,115,116,117,118,119,172,186,188,189,193,194,196,
198,199,200,201,202,203,205,206,210,211,220,221,222,223,232,233,295,305,306,
309,310,311,312,313,324,332,335,338,339,409,410,411,482],[1,2,4,6,7,8,9,18,20,
23,27,30,43,46,50,58,60,61,62,68,69,73,87,88,109,110,134,149,151,152,153,162,
183,245,254,255,259,269,360,372,375,429,483],[1,2,3,4,5,6,8,9,11,12,16,17,19,
20,23,24,26,28,29,38,45,50,58,60,61,62,63,66,67,70,73,74,76,90,92,136,147,148,
153,154,157,166,178,245,254,255,256,260,261,266,361,363,369,383,429,484],[1,2,
4,6,8,9,18,20,22,23,28,43,50,58,60,61,62,73,85,108,135,151,153,155,180,245,
254,255,371,385,429,485],[1,2,3,4,6,7,9,11,12,16,17,18,19,20,26,32,33,34,35,
37,41,45,46,47,48,50,63,64,65,66,68,95,98,119,125,126,127,128,132,133,134,135,
136,158,236,237,238,239,240,241,242,243,244,246,350,351,352,353,354,355,356,
357,358,359,362,430,431,432,433,434,435,436,486],[1,3,4,10,13,14,16,52,56,59,
72,140,167,169,282,286,291,487],[1,2,3,6,8,11,12,13,24,27,28,36,42,43,49,52,
55,79,84,97,102,111,117,124,130,143,173,189,204,223,229,328,438,488],[1,2,5,6,
7,8,13,27,28,29,30,36,37,43,49,55,81,83,96,97,102,117,129,131,144,173,196,204,
214,221,346,438,489],[1,2,5,6,8,9,13,22,23,27,28,29,36,43,55,75,76,85,87,97,
101,102,145,173,175,194,296,438,490],[1,2,6,7,8,9,15,23,27,30,43,46,49,54,73,
87,88,109,110,117,139,183,200,209,316,364,439,491],[1,2,3,4,6,8,12,17,18,19,
21,42,43,49,60,65,71,124,146,151,253,440,492],[1,2,3,4,7,9,12,17,18,19,21,40,
46,47,61,65,71,122,146,152,253,441,493],[1,2,3,4,7,9,12,17,18,19,21,39,46,48,
61,65,71,123,146,152,253,442,494],[1,2,4,7,9,14,18,46,50,51,58,134,149,238,
287,495],[1,2,4,7,9,15,18,46,50,54,61,134,152,240,289,496],[1,2,4,7,9,15,18,
46,50,54,61,134,152,241,288,497],[1,2,4,6,8,15,18,43,50,54,60,134,151,239,290,
498],[1,2,4,7,9,14,18,20,46,50,51,58,61,62,68,69,72,134,135,138,149,152,162,
170,243,245,287,294,360,394,445,499],[1,2,3,4,5,9,11,14,16,18,19,20,38,50,51,
58,61,62,63,64,70,72,132,135,136,137,147,166,170,245,246,287,292,363,393,445,
500],[1,2,3,4,9,11,12,14,16,17,18,19,20,26,50,51,53,56,58,61,62,65,66,67,72,
133,135,136,141,154,157,169,170,171,244,245,287,293,361,401,445,501],[1,2,3,4,
5,6,7,8,9,11,12,20,22,23,24,26,27,28,29,30,31,32,36,37,38,41,42,43,44,45,46,
60,61,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,92,93,95,96,97,101,
102,105,106,108,109,110,111,112,155,172,178,179,180,181,182,183,184,185,186,
187,188,189,190,191,192,193,194,196,197,198,211,212,213,232,254,257,258,298,
299,313,318,331,342,343,373,384,385,405,446,502],[1,2,4,6,7,8,9,18,20,22,23,
27,28,30,36,37,43,46,49,58,60,62,68,69,73,79,80,85,87,88,96,102,108,109,110,
117,129,131,149,151,153,155,161,162,175,180,183,188,191,199,200,201,209,214,
223,255,259,264,269,278,298,301,303,314,316,324,340,367,375,420,448,451,453,
503],[1,2,3,4,6,7,8,9,11,12,17,19,20,22,23,24,26,27,28,30,36,37,41,42,43,44,
45,49,58,60,63,67,69,74,79,82,84,85,86,87,89,90,96,97,102,108,109,110,111,112,
117,129,131,148,150,153,154,155,161,163,175,181,182,184,188,189,190,192,199,
200,201,209,214,223,256,260,265,269,278,299,300,302,315,317,324,340,367,374,
419,447,452,453,504],[1,2,3,4,5,6,7,8,9,11,12,16,17,18,19,20,22,23,24,26,27,
28,29,30,31,32,36,38,41,42,43,45,46,49,58,60,63,64,65,66,68,73,74,76,77,81,83,
84,85,86,87,88,90,92,93,95,102,108,109,110,111,112,117,124,130,147,148,149,
151,153,154,155,158,161,175,178,179,180,181,183,184,186,199,201,209,212,213,
221,229,232,256,259,261,262,263,264,270,300,303,305,314,315,318,320,367,370,
414,447,451,454,505],[1,2,3,4,5,6,7,8,9,11,12,16,17,20,22,23,24,26,27,28,29,
30,31,32,36,38,41,42,43,44,45,46,49,58,60,62,66,67,73,74,76,77,81,83,84,85,86,
87,88,89,90,92,93,95,102,108,109,110,111,112,117,124,130,147,148,150,153,155,
157,161,175,178,179,181,182,183,184,186,200,201,209,212,213,221,229,232,255,
260,261,265,270,301,302,306,316,317,318,320,367,369,413,448,452,454,506],[1,2,
3,4,5,6,7,8,9,11,12,17,18,20,22,23,24,26,27,28,29,30,36,38,43,44,45,46,58,60,
67,68,70,73,74,75,76,82,83,85,87,88,89,90,92,97,101,102,108,109,110,111,112,
148,149,150,151,153,155,161,165,173,175,178,180,181,182,183,187,192,194,198,
199,200,201,211,212,259,260,264,265,266,267,277,296,300,301,302,303,332,342,
367,376,377,406,449,451,452,507],[1,2,3,4,5,6,7,8,9,11,12,19,20,22,23,24,26,
27,28,29,30,36,38,43,44,45,46,58,60,62,63,70,73,74,75,76,82,83,85,87,88,89,90,
92,97,101,102,108,109,110,111,112,153,154,155,161,166,173,175,178,180,181,182,
183,187,192,194,198,199,200,201,211,212,255,256,266,267,277,296,300,301,302,
303,332,342,367,383,406,447,448,449,508],[1,2,4,6,7,8,9,18,22,23,27,28,30,36,
37,43,46,49,60,61,73,79,80,85,87,88,96,102,108,109,110,117,129,131,151,152,
175,180,183,188,191,199,200,201,209,214,223,254,257,258,298,301,303,314,316,
324,340,371,372,381,420,446,509],[1,2,3,4,5,6,7,8,9,11,12,16,17,20,22,23,24,
27,28,29,30,31,32,36,37,38,42,43,44,45,49,58,60,66,69,70,75,76,77,79,81,83,84,
85,87,89,92,96,97,101,102,105,106,110,111,115,116,117,124,129,130,131,147,148,
153,155,161,164,172,173,175,186,188,189,193,194,196,202,204,209,211,214,215,
221,223,228,229,232,235,261,266,267,269,270,277,278,296,308,313,320,328,338,
340,345,346,367,382,388,407,449,453,454,510],[1,2,3,4,6,7,8,9,12,17,23,27,30,
32,33,34,35,37,39,40,42,43,44,46,47,48,49,60,61,73,79,80,87,88,96,98,103,104,
106,107,109,110,113,114,115,122,123,124,125,126,129,150,174,183,188,191,205,
206,207,216,217,222,226,227,228,254,257,258,298,327,329,330,333,334,335,378,
379,380,424,446,511],[1,2,3,4,5,6,7,8,9,11,12,17,18,20,22,23,24,27,28,29,30,
31,32,36,37,38,42,43,44,45,49,60,67,68,70,75,76,77,79,81,83,84,85,87,89,92,96,
97,101,102,105,106,110,111,115,116,117,150,151,155,165,172,186,188,189,193,
194,196,202,211,220,221,222,223,232,233,257,264,265,267,295,310,313,338,339,
373,377,378,381,410,457,458,459,512],[1,2,3,4,5,6,7,8,9,10,11,12,17,18,20,22,
23,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,59,
60,67,68,70,74,75,77,78,80,82,83,84,85,86,88,89,90,91,92,93,94,95,96,98,99,
100,103,104,105,106,107,109,110,111,112,113,114,118,119,120,121,122,123,125,
126,127,128,150,151,155,156,159,160,165,174,176,177,179,182,184,185,187,190,
191,193,195,197,203,205,206,210,211,213,216,217,218,219,224,225,226,227,230,
231,234,236,264,265,267,268,271,272,273,274,275,276,297,309,321,322,325,326,
329,330,343,348,349,368,377,386,387,417,450,455,456,513],[1,2,5,6,8,21,22,27,
29,75,79,81,172,285,295,514],[1,2,3,4,5,7,9,11,12,13,16,17,18,19,20,26,31,35,
38,39,41,46,47,48,52,55,62,63,64,65,66,67,68,69,70,93,99,118,121,123,126,127,
143,144,145,157,158,159,162,163,164,165,166,230,248,249,252,271,274,276,279,
366,387,398,466,468,470,515],[1,2,3,4,5,7,9,11,12,13,16,17,18,19,20,26,31,34,
38,40,41,46,47,48,52,55,62,63,64,65,66,67,68,69,70,93,100,118,120,122,125,128,
143,144,145,157,158,160,162,163,164,165,166,231,248,249,252,272,273,275,279,
366,386,399,465,467,469,516],[1,2,7,13,14,15,51,54,55,138,139,144,167,168,281,
283,389,390,404,474,517],[1,2,5,13,14,15,51,54,55,137,145,167,168,281,283,391,
404,474,518],[1,2,3,12,13,14,15,51,52,53,54,55,56,141,143,167,168,280,281,282,
283,392,404,474,475,519],[1,2,3,5,6,7,8,9,10,11,12,22,23,24,25,26,27,28,29,30,
31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,73,74,75,76,77,78,79,
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,
123,124,125,126,127,128,129,130,131,172,173,174,175,176,177,178,179,180,181,
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,
220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,295,296,
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,
335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,405,406,407,408,
409,410,411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,
428,476,477,478,479,480,481,482,520],[1,2,4,6,7,8,9,18,20,23,27,28,30,43,46,
49,50,58,60,61,62,68,69,73,87,88,108,109,110,117,134,149,151,152,153,162,183,
199,209,239,245,254,255,259,269,314,360,372,375,429,483,521],[1,2,3,4,5,6,7,8,
9,11,12,16,17,18,19,20,23,24,26,27,28,29,30,31,32,38,41,42,43,45,46,50,58,60,
61,62,63,64,65,66,67,68,69,70,73,74,76,77,81,83,84,86,87,88,90,92,93,95,108,
109,110,111,112,134,136,147,148,149,151,152,153,154,157,158,162,163,164,165,
166,178,179,181,183,184,186,212,213,232,242,245,254,255,256,259,260,261,262,
263,266,269,279,318,360,361,363,369,370,372,374,375,376,382,383,429,437,460,
483,484,522],[1,2,4,6,7,8,9,18,20,22,23,27,28,30,36,43,46,50,58,60,61,62,68,
69,73,85,87,88,102,108,109,110,134,135,149,151,152,153,155,162,175,180,183,
199,201,243,245,254,255,259,264,269,303,360,371,372,375,385,429,461,483,485,
523],[1,2,3,4,10,12,13,14,16,17,20,25,51,52,53,55,56,59,66,72,140,141,142,143,
156,167,169,170,171,247,280,281,282,286,291,293,392,400,402,487,524],[1,2,5,6,
7,8,13,27,28,29,30,36,37,43,47,49,55,81,83,96,97,102,114,116,117,129,131,144,
173,196,204,205,214,221,233,249,312,323,346,427,438,489,525],[1,2,5,6,7,8,13,
27,28,29,30,36,37,43,48,49,55,81,83,96,97,102,113,116,117,129,131,144,173,196,
204,206,214,221,233,248,311,323,346,426,438,489,526],[1,2,3,5,6,7,8,9,11,12,
13,22,23,24,27,28,29,30,31,32,36,37,38,42,43,44,45,49,52,55,75,76,77,79,81,83,
84,85,87,89,92,96,97,101,102,105,106,110,111,115,116,117,124,129,130,131,143,
144,145,172,173,175,186,188,189,193,194,196,202,204,209,211,214,215,221,223,
228,229,232,235,252,296,308,313,320,328,338,340,345,346,407,438,488,489,490,
527],[1,2,4,9,15,18,20,54,57,61,68,284,288,289,528],[1,2,3,4,7,9,12,14,18,39,
46,48,50,51,53,56,58,123,134,141,149,238,287,351,495,529],[1,2,3,4,7,9,12,14,
18,40,46,47,50,51,53,56,58,122,134,141,149,238,287,350,495,530],[1,2,3,4,5,7,
9,11,12,14,16,18,19,26,31,38,41,46,50,51,58,64,93,134,136,137,147,149,154,238,
242,262,287,357,393,495,531],[1,2,4,7,8,9,14,18,20,23,30,46,50,51,58,68,88,
134,135,138,149,153,238,243,259,287,358,394,495,532],[1,2,4,7,9,14,18,35,46,
47,50,51,58,126,134,138,149,238,241,287,353,495,533],[1,2,4,7,9,14,18,34,46,
48,50,51,58,125,134,138,149,238,240,287,352,495,534],[1,2,4,6,7,8,15,18,37,43,
49,50,54,60,129,134,139,151,239,240,241,290,354,498,535],[1,2,4,7,9,15,18,34,
46,48,50,54,61,125,134,139,152,238,240,289,352,496,536],[1,2,4,7,9,15,18,35,
46,47,50,54,61,126,134,139,152,238,241,288,353,497,537],[1,2,3,4,6,7,9,11,12,
14,17,18,19,26,32,41,45,46,50,51,53,56,58,65,95,132,133,134,141,148,149,154,
237,238,239,263,287,355,401,495,538],[1,2,3,4,5,7,9,11,12,14,16,17,18,19,20,
26,31,38,41,46,50,51,53,56,58,61,62,63,64,65,66,67,68,69,70,72,93,132,133,134,
135,136,137,138,141,147,149,152,154,157,158,162,163,164,165,166,169,170,171,
237,242,243,244,245,246,251,262,279,287,292,293,294,360,361,362,363,393,394,
401,403,437,445,472,499,500,501,539],[1,2,3,4,5,6,7,8,9,10,11,12,17,20,22,23,
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,
60,61,67,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,
96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,
116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,150,155,172,
174,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,
194,195,196,197,198,202,203,205,206,207,208,210,211,212,213,214,215,216,217,
218,219,220,222,224,225,226,227,228,229,230,231,232,234,235,236,254,257,258,
265,297,298,299,307,309,311,312,313,318,319,321,322,325,326,327,329,330,331,
333,334,335,336,337,339,341,342,343,345,347,348,349,373,378,379,380,384,385,
405,408,411,415,416,417,418,423,424,446,457,463,480,502,511,540],[1,2,3,4,5,6,
7,8,9,11,12,20,22,23,24,26,27,28,29,30,31,32,36,37,38,41,42,43,44,45,46,49,60,
61,70,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,92,93,95,96,97,101,
102,105,106,108,109,110,111,112,115,116,117,155,172,178,179,180,181,182,183,
184,185,186,187,188,189,190,191,192,193,194,196,197,198,202,211,212,213,220,
221,222,223,232,233,254,257,258,267,295,298,299,310,313,318,323,331,338,339,
342,343,344,373,384,385,405,410,412,446,459,477,502,541],[1,2,3,4,5,6,7,8,9,
10,11,12,20,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,
49,58,59,60,70,75,76,77,78,79,81,83,84,85,87,89,91,92,94,96,97,98,99,100,101,
102,103,104,105,106,107,110,111,115,116,117,124,129,130,131,153,155,156,159,
160,161,172,173,174,175,176,177,186,188,189,193,194,195,196,202,204,207,208,
209,211,214,215,220,221,222,223,228,229,232,233,235,257,266,267,268,275,276,
277,295,296,297,304,307,308,310,313,319,320,327,328,338,339,340,341,345,346,
347,367,368,373,407,408,410,428,449,450,459,462,476,542],[1,2,3,4,5,6,7,8,9,
11,12,18,20,22,23,24,26,27,28,29,30,31,32,36,37,38,41,42,43,44,45,46,49,60,61,
68,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,92,93,95,96,97,101,102,
105,106,108,109,110,111,112,115,116,117,124,129,130,131,151,152,155,172,173,
175,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,196,
197,198,199,200,201,202,204,209,211,212,213,214,215,221,223,228,229,232,235,
254,257,258,264,296,298,299,300,301,302,303,305,306,308,313,314,315,316,317,
318,320,324,328,331,332,338,340,342,343,345,346,371,372,373,381,384,385,405,
406,407,409,413,414,419,420,425,446,458,461,481,502,509,543],[1,2,3,4,5,6,7,8,
9,11,12,16,17,18,19,20,22,23,24,26,27,28,29,30,31,32,36,37,38,41,42,43,44,45,
46,49,58,60,62,63,64,65,66,67,68,69,70,73,74,75,76,77,79,80,81,82,83,84,85,86,
87,88,89,90,92,93,95,96,97,101,102,105,106,108,109,110,111,112,115,116,117,
124,129,130,131,147,148,149,150,151,153,154,155,157,158,161,162,163,164,165,
166,172,173,175,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,
193,194,196,197,198,199,200,201,202,204,209,211,212,213,214,215,221,223,228,
229,232,235,255,256,259,260,261,262,263,264,265,266,267,269,270,277,278,279,
296,298,299,300,301,302,303,305,306,308,313,314,315,316,317,318,320,324,328,
331,332,338,340,342,343,345,346,367,369,370,374,375,376,377,382,383,388,405,
406,407,409,413,414,419,420,425,447,448,449,451,452,453,454,460,481,503,504,
505,506,507,508,510,544],[1,2,4,6,7,8,9,15,18,20,22,23,27,28,30,36,43,46,54,
58,60,62,68,69,73,85,87,88,102,109,110,149,153,155,161,162,175,183,200,255,
259,269,290,301,364,367,375,439,448,545],[1,2,4,6,7,8,9,15,18,23,27,30,37,43,
46,54,60,61,73,79,80,87,88,96,109,110,151,152,183,188,191,254,257,258,288,289,
290,298,364,372,439,446,546],[1,2,7,13,14,15,48,51,54,55,138,139,144,167,168,
248,281,283,389,390,404,474,517,547],[1,2,7,13,14,15,47,51,54,55,138,139,144,
167,168,249,281,283,389,390,404,474,517,548],[1,2,3,5,7,12,13,14,15,31,51,52,
53,54,55,56,137,138,139,141,143,144,145,167,168,251,252,280,281,282,283,389,
390,391,392,404,464,474,475,517,518,519,549],[1,2,3,4,5,6,7,8,9,11,12,16,17,
18,19,20,22,23,24,26,27,28,29,30,31,32,36,38,41,42,43,45,46,49,50,58,60,61,62,
63,64,65,66,67,68,69,70,73,74,76,77,81,83,84,85,86,87,88,90,92,93,95,102,108,
109,110,111,112,117,124,130,134,135,136,147,148,149,151,152,153,154,155,157,
158,162,163,164,165,166,175,178,179,180,181,183,184,186,199,201,209,212,213,
221,229,232,239,242,243,245,254,255,256,259,260,261,262,263,264,266,269,279,
300,303,305,314,315,318,320,359,360,361,363,369,370,371,372,374,375,376,382,
383,385,414,429,437,460,461,483,484,485,521,522,523,550],[1,2,3,4,5,7,10,12,
13,14,16,17,20,25,31,33,51,52,53,55,56,59,66,69,70,72,78,137,138,140,141,142,
143,144,145,156,164,167,169,170,171,247,250,251,252,268,280,281,282,286,291,
292,293,294,365,389,391,392,400,402,403,464,471,473,487,524,551],[1,2,3,5,6,7,
8,9,11,12,13,22,23,24,27,28,29,30,31,32,36,37,38,42,43,44,45,47,48,49,52,55,
75,76,77,79,81,83,84,85,87,89,92,96,97,101,102,105,106,110,111,113,114,115,
116,117,118,119,124,129,130,131,143,144,145,172,173,175,186,188,189,193,194,
196,202,203,204,205,206,209,210,211,214,215,221,223,228,229,232,233,235,248,
249,252,296,308,309,310,311,312,313,320,323,328,335,338,340,344,345,346,366,
407,411,412,426,427,438,478,488,489,490,525,526,527,552],[1,2,3,4,7,8,10,11,
12,17,20,21,22,24,25,30,33,34,35,39,40,41,44,47,48,59,60,67,80,86,89,94,103,
104,113,114,120,121,127,128,146,150,155,156,159,160,176,185,210,216,217,224,
225,258,265,271,272,285,321,368,379,380,384,444,455,463,553],[1,2,4,6,7,8,9,
18,20,21,22,23,27,28,30,36,43,46,58,60,61,68,73,85,87,88,102,108,109,110,146,
149,151,152,153,155,161,175,180,183,199,201,254,259,264,285,303,367,371,372,
385,440,443,444,451,461,554],[1,2,4,5,6,8,20,21,22,27,29,60,70,75,79,81,146,
155,172,257,267,285,295,373,444,459,514,555],[1,2,3,4,5,7,9,11,12,14,16,18,19,
26,31,35,38,39,41,46,47,48,50,51,53,56,58,64,93,99,118,121,123,126,127,134,
136,137,138,141,147,149,154,230,238,241,242,251,262,287,351,353,357,393,432,
495,529,531,533,556],[1,2,3,4,5,7,9,11,12,14,16,18,19,26,31,34,38,40,41,46,47,
48,50,51,53,56,58,64,93,100,118,120,122,125,128,134,136,137,138,141,147,149,
154,231,238,240,242,251,262,287,350,352,357,393,433,495,530,531,534,557],[1,2,
3,4,7,8,9,12,14,18,20,23,30,33,34,39,44,46,48,50,51,53,56,58,68,88,103,113,
123,125,134,135,138,141,149,153,227,238,240,243,250,259,287,351,352,358,394,
431,495,529,532,534,558],[1,2,3,4,7,8,9,12,14,18,20,23,30,33,35,40,44,46,47,
50,51,53,56,58,68,88,104,114,122,126,134,135,138,141,149,153,226,238,241,243,
250,259,287,350,353,358,394,430,495,530,532,533,559],[1,2,3,4,5,6,7,8,9,11,12,
14,16,17,18,19,20,23,24,26,29,30,31,32,38,41,45,46,50,51,53,56,58,63,64,65,66,
68,74,77,86,88,92,93,95,132,133,134,135,136,137,138,141,147,148,149,153,154,
158,179,237,238,239,242,243,244,246,251,256,259,261,262,263,287,355,357,358,
359,362,370,393,394,401,435,472,495,531,532,538,560],[1,2,3,4,6,7,9,10,11,12,
14,17,18,19,25,26,32,39,40,41,42,45,46,47,48,50,51,53,56,58,65,91,95,119,120,
121,122,123,132,133,134,140,141,142,148,149,154,234,237,238,239,247,263,287,
350,351,355,401,436,495,529,530,538,561],[1,2,3,4,6,7,9,11,12,14,17,18,19,26,
32,33,34,35,37,41,45,46,47,48,50,51,53,56,58,65,95,98,119,125,126,127,128,132,
133,134,138,141,148,149,154,236,237,238,239,240,241,250,263,287,352,353,354,
355,356,401,434,495,533,534,538,562],[1,2,3,4,5,6,7,8,9,10,11,12,17,18,20,22,
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,
49,58,59,60,67,68,70,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,
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,
148,149,150,151,153,155,156,159,160,161,165,172,173,174,175,176,177,178,179,
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,
257,259,260,264,265,266,267,268,271,272,273,274,275,276,277,295,296,297,298,
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,
337,338,339,340,341,342,343,344,345,346,347,348,349,367,368,373,376,377,378,
381,386,387,405,406,407,408,409,410,411,412,413,414,415,416,417,418,419,420,
421,422,423,424,425,426,427,428,449,450,451,452,455,456,457,458,459,462,476,
477,478,479,480,481,482,507,512,513,520,542,563],[1,2,3,4,5,6,7,8,9,10,11,12,
17,18,20,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,
45,46,47,48,49,60,61,67,68,70,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,
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,
130,131,150,151,152,155,165,172,173,174,175,176,177,178,179,180,181,182,183,
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,
222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,254,257,258,264,
265,267,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,
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,
371,372,373,377,378,379,380,381,384,385,405,406,407,408,409,410,411,412,413,
414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,446,457,458,459,
461,463,476,477,478,479,480,481,482,502,509,511,512,520,540,541,543,564],[1,2,
3,4,5,6,7,8,9,11,12,15,16,17,18,19,20,22,23,24,26,27,28,29,30,31,32,36,38,41,
42,43,44,45,46,49,54,58,60,62,63,64,65,66,67,68,69,70,73,74,76,77,81,83,84,85,
86,87,88,89,90,92,93,95,102,108,109,110,111,112,117,124,130,139,147,148,149,
150,153,154,155,157,158,161,162,163,164,165,166,175,178,179,181,182,183,184,
186,200,201,209,212,213,221,229,232,255,256,259,260,261,262,263,265,266,269,
270,279,290,301,302,306,316,317,318,320,364,367,369,370,374,375,376,382,383,
397,413,439,448,452,454,460,491,506,545,565],[1,2,4,6,7,8,9,15,18,20,22,23,27,
28,30,36,37,43,46,49,54,60,61,68,73,79,80,85,87,88,96,102,108,109,110,117,129,
131,139,151,152,155,175,180,183,188,191,199,200,201,209,214,223,254,257,258,
264,288,289,290,298,301,303,314,316,324,340,364,371,372,381,385,395,396,420,
439,446,461,491,509,546,566],[1,2,3,5,7,12,13,14,15,31,47,48,51,52,53,54,55,
56,118,137,138,139,141,143,144,145,167,168,248,249,251,252,280,281,282,283,
366,389,390,391,392,404,464,474,475,517,518,519,547,548,549,567],[1,2,4,7,9,
14,18,20,21,46,50,51,58,61,62,68,69,134,138,146,149,152,162,238,245,287,360,
394,443,495,568],[1,2,4,7,9,15,18,20,21,46,50,54,58,61,62,68,69,134,139,146,
149,152,162,241,245,288,360,396,442,443,497,569],[1,2,4,7,9,15,18,20,21,46,50,
54,58,61,62,68,69,134,139,146,149,152,162,240,245,289,360,395,441,443,496,
570],[1,2,3,4,5,6,7,8,9,10,11,12,14,16,17,18,19,20,23,24,25,26,29,30,31,32,33,
34,35,37,38,39,40,41,42,44,45,46,47,48,50,51,53,56,58,63,64,65,66,68,74,77,78,
86,88,91,92,93,94,95,98,99,100,103,104,105,107,113,114,118,119,120,121,122,
123,125,126,127,128,132,133,134,135,136,137,138,140,141,142,147,148,149,153,
154,158,179,195,203,224,225,226,227,230,231,234,236,237,238,239,240,241,242,
243,244,246,247,250,251,256,259,261,262,263,287,348,350,351,352,353,354,355,
356,357,358,359,362,365,370,393,394,401,430,431,432,433,434,435,436,472,486,
495,529,530,531,532,533,534,538,556,557,558,559,560,561,562,571],[1,2,3,4,5,6,
7,8,9,10,11,12,13,16,17,20,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,
40,42,43,44,45,49,52,55,58,59,60,66,69,70,75,76,77,78,79,81,83,84,85,87,89,91,
92,94,96,97,98,99,100,101,102,103,104,105,106,107,110,111,115,116,117,124,129,
130,131,143,144,145,147,148,153,155,156,159,160,161,164,172,173,174,175,176,
177,186,188,189,193,194,195,196,202,204,207,208,209,211,214,215,220,221,222,
223,228,229,232,233,235,252,257,261,266,267,268,269,270,275,276,277,278,286,
295,296,297,304,307,308,310,313,319,320,327,328,338,339,340,341,345,346,347,
367,368,373,382,388,398,399,400,407,408,410,428,438,449,450,453,454,459,462,
469,470,471,476,488,489,490,510,527,542,572],[1,2,3,4,5,7,9,11,12,14,16,17,18,
19,20,21,26,31,38,41,46,50,51,53,56,58,61,62,63,64,65,66,67,68,69,70,71,93,
134,136,137,138,141,146,147,149,152,154,157,158,162,163,164,165,166,238,242,
245,251,253,262,279,287,357,360,361,363,393,394,401,437,443,472,495,531,568,
573],[1,2,4,6,7,8,9,15,18,20,22,23,27,28,30,36,37,43,46,49,50,54,58,60,61,62,
68,69,73,79,80,85,87,88,96,102,108,109,110,117,129,131,134,149,151,152,153,
155,161,162,175,180,183,188,191,199,200,201,209,214,223,239,245,254,255,257,
258,259,264,269,278,288,289,290,298,301,303,314,316,324,340,360,364,367,371,
372,375,381,420,429,439,446,448,451,453,483,498,503,509,521,545,546,574],[1,2,
3,4,5,6,7,8,9,10,11,12,13,16,17,18,19,20,22,23,24,25,26,27,28,29,30,31,32,33,
34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,52,55,58,59,60,62,63,64,65,66,
67,68,69,70,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,
95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,
115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,143,144,
145,147,148,149,150,151,153,154,155,156,157,158,159,160,161,162,163,164,165,
166,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,
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,
228,229,230,231,232,233,234,235,236,248,249,252,255,256,257,259,260,261,262,
263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,286,295,
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,
334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,366,367,368,
369,370,373,374,375,376,377,378,381,382,383,386,387,388,398,399,400,405,406,
407,408,409,410,411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,
426,427,428,438,447,448,449,450,451,452,453,454,455,456,457,458,459,460,462,
465,466,467,468,469,470,471,476,477,478,479,480,481,482,488,489,490,503,504,
505,506,507,508,510,512,513,515,516,520,525,526,527,542,544,552,563,572,575],[
1,2,4,7,9,15,18,20,34,46,48,50,54,57,61,68,125,134,135,139,152,160,238,240,
243,273,284,288,289,351,352,358,396,431,496,528,536,576],[1,2,4,7,9,15,18,20,
35,46,47,50,54,57,61,68,126,134,135,139,152,159,238,241,243,274,284,288,289,
350,353,358,395,430,497,528,537,577],[1,2,3,4,5,6,7,8,9,10,11,12,17,18,20,21,
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,
48,49,58,59,60,61,67,68,70,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,
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,
131,146,148,149,150,151,152,153,155,156,159,160,161,165,172,173,174,175,176,
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,
234,235,236,254,257,258,259,260,264,265,266,267,268,271,272,273,274,275,276,
277,285,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,
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,
367,368,371,372,373,376,377,378,379,380,381,384,385,386,387,405,406,407,408,
409,410,411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,
428,440,443,444,446,449,450,451,452,455,456,457,458,459,461,462,463,476,477,
478,479,480,481,482,502,507,509,511,512,513,514,520,540,541,542,543,553,554,
555,563,564,578],[1,2,3,4,5,6,7,8,9,11,12,15,16,17,18,19,20,22,23,24,26,27,28,
29,30,31,32,36,37,38,41,42,43,44,45,46,49,50,54,58,60,61,62,63,64,65,66,67,68,
69,70,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,92,93,95,96,97,101,
102,105,106,108,109,110,111,112,115,116,117,124,129,130,131,134,135,136,139,
147,148,149,150,151,152,153,154,155,157,158,161,162,163,164,165,166,172,173,
175,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,196,
197,198,199,200,201,202,204,209,211,212,213,214,215,221,223,228,229,232,235,
239,242,243,245,254,255,256,257,258,259,260,261,262,263,264,265,266,267,269,
270,277,278,279,288,289,290,296,298,299,300,301,302,303,305,306,308,313,314,
315,316,317,318,320,324,328,331,332,338,340,342,343,345,346,359,360,361,363,
364,367,369,370,371,372,373,374,375,376,377,381,382,383,384,385,388,395,396,
397,405,406,407,409,413,414,419,420,425,429,437,439,446,447,448,449,451,452,
453,454,458,460,461,481,483,484,485,491,498,502,503,504,505,506,507,508,509,
510,521,522,523,543,544,545,546,550,565,566,574,579],[1,2,4,6,7,8,9,15,18,21,
23,27,30,37,43,46,50,54,60,61,73,79,80,87,88,96,109,110,134,146,151,152,183,
188,191,239,240,241,254,257,258,288,289,290,298,354,364,372,439,440,441,442,
446,496,497,498,546,580],[1,2,4,6,7,8,9,14,18,20,21,22,23,27,28,30,36,43,46,
50,51,58,60,61,62,68,69,72,73,85,87,88,102,108,109,110,134,135,138,146,149,
151,152,153,155,161,162,170,175,180,183,199,201,238,243,245,254,255,259,264,
269,285,287,294,303,358,360,367,371,372,375,385,394,429,440,443,444,445,451,
461,483,485,495,499,523,532,554,568,581],[1,2,3,4,5,6,7,8,9,11,12,14,16,17,18,
19,20,21,22,23,24,26,27,28,29,30,31,32,36,38,41,42,43,45,46,49,50,51,53,56,58,
60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,81,83,84,85,86,87,88,90,92,
93,95,102,108,109,110,111,112,117,124,130,132,133,134,135,136,137,138,141,146,
147,148,149,151,152,153,154,155,157,158,161,162,163,164,165,166,169,170,171,
175,178,179,180,181,183,184,186,199,201,209,212,213,221,229,232,237,238,239,
242,243,244,245,246,251,253,254,255,256,259,260,261,262,263,264,266,269,270,
279,285,287,292,293,294,300,303,305,314,315,318,320,355,357,358,359,360,361,
362,363,367,369,370,371,372,374,375,376,382,383,385,393,394,401,403,414,429,
435,437,440,443,444,445,447,451,454,460,461,472,483,484,485,492,495,499,500,
501,505,521,522,523,531,532,538,539,550,554,560,568,573,581,582],[1,2,3,4,6,7,
8,9,12,15,17,18,19,21,23,27,30,32,33,34,35,37,39,40,42,43,44,46,47,48,49,50,
54,60,61,65,71,73,79,80,87,88,96,98,103,104,106,107,109,110,113,114,115,122,
123,124,125,126,129,132,133,134,139,146,150,151,152,174,183,188,191,205,206,
207,216,217,222,226,227,228,237,238,239,240,241,253,254,257,258,288,289,290,
298,327,329,330,333,334,335,352,353,354,355,356,364,372,378,379,380,397,424,
434,439,440,441,442,446,492,493,494,496,497,498,511,535,536,537,546,580,583],[
1,2,4,7,9,13,14,15,18,20,21,35,46,47,50,51,54,55,58,61,62,68,69,126,134,138,
139,144,146,149,152,159,162,167,168,238,241,245,249,274,281,283,287,288,353,
360,389,390,394,396,398,404,442,443,468,474,495,497,517,533,537,548,568,569,
584],[1,2,4,7,9,13,14,15,18,20,21,34,46,48,50,51,54,55,58,61,62,68,69,125,134,
138,139,144,146,149,152,160,162,167,168,238,240,245,248,273,281,283,287,289,
352,360,389,390,394,395,399,404,441,443,467,474,495,496,517,534,536,547,568,
570,585],[1,2,3,4,5,7,9,11,12,13,14,15,16,17,18,19,20,21,26,31,34,38,40,41,46,
47,48,50,51,52,53,54,55,56,58,61,62,63,64,65,66,67,68,69,70,71,93,100,118,120,
122,125,128,134,136,137,138,139,141,143,144,145,146,147,149,152,154,157,158,
160,162,163,164,165,166,167,168,231,238,240,242,245,248,249,251,252,253,262,
272,273,275,279,280,281,282,283,287,289,350,352,357,360,361,363,366,386,389,
390,391,392,393,394,395,399,401,404,433,437,441,443,464,465,467,469,472,474,
475,493,495,496,516,517,518,519,530,531,534,536,547,548,549,557,567,568,570,
573,585,586],[1,2,3,4,5,7,9,11,12,13,14,15,16,17,18,19,20,21,26,31,35,38,39,
41,46,47,48,50,51,52,53,54,55,56,58,61,62,63,64,65,66,67,68,69,70,71,93,99,
118,121,123,126,127,134,136,137,138,139,141,143,144,145,146,147,149,152,154,
157,158,159,162,163,164,165,166,167,168,230,238,241,242,245,248,249,251,252,
253,262,271,274,276,279,280,281,282,283,287,288,351,353,357,360,361,363,366,
387,389,390,391,392,393,394,396,398,401,404,432,437,442,443,464,466,468,470,
472,474,475,494,495,497,515,517,518,519,529,531,533,537,547,548,549,556,567,
568,569,573,584,587],[1,2,4,6,7,8,9,15,18,20,21,22,23,27,28,30,36,37,43,46,49,
50,54,57,58,60,61,62,68,69,73,79,80,85,87,88,96,102,108,109,110,117,129,131,
134,139,146,149,151,152,153,155,161,162,175,180,183,188,191,199,200,201,209,
214,223,239,240,241,245,254,255,257,258,259,264,269,278,284,285,288,289,290,
298,301,303,314,316,324,340,354,360,364,367,371,372,375,381,385,395,396,420,
429,439,440,441,442,443,444,446,448,451,453,461,483,491,496,497,498,503,509,
521,528,535,545,546,554,566,569,570,574,580,588],[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]],
0,
[[1],[1,1],[1,1],[1,1],[1,1,1],[1,1,1],[1,1,1],[1,3,1],[1,3,1],[1,3,1],[1,1,2,
1],[1,1,2,1],[1,1],[1,1],[1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,1,1,1],[1,1,1,
1],[1,1],[1,7,7,1],[1,7,3,4,1],[1,3,4,1,4,2,1],[1,1,6,4,3,1],[1,3,4,1,3,3,1],[
1,3,2,1,1],[1,3,2,1,1],[1,3,1,1,1,1],[1,3,2,1,1],[1,1,2,1,1,1,1],[1,1,2,1,1,1,
1],[1,1,2,2,1,1],[1,1,3,1],[1,1,3,1],[1,1,3,1],[1,1,1,2,1],[1,3,2,1,1,1,1],[1,
1,4,1,2,1],[1,1,4,1,2,1],[1,1,4,1,2,1],[1,1,4,1,2,1],[1,5,1,2,1],[1,3,2,1,1,1,
1],[1,3,2,1,1,1,1],[1,5,1,2,1],[1,1,1,1],[1,1,1,1],[1,1,1,1],[1,4,1],[1,5,1,
1],[1,5,1,1],[1,5,1,1],[1,5,1,1],[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],[1,3,1,1,3,1],[1,1,2,1,1,2,1,1],[1,3,4,1,3,1,1,1,
1],[1,3,4,1,3,1,1,1,1],[1,1,6,1,3,1,1,1,1],[1,1,6,1,3,2,1,1],[1,7,1,3,2,1,1],[
1,1,1,3,1,1],[1,1,1,1,1,1],[1,7,1,1],[1,1,1,1],[1,15,15,20,15,1],[1,7,8,3,4,
16,12,1,6,8,1],[1,7,1,3,7,1,3,3,1],[1,7,1,3,3,4,1,3,3,1],[1,3,4,1,1,2,1,4,2,1,
1,1,2,2,1],[1,1,6,1,3,4,3,1,3,3,1],[1,3,6,1,3,1],[1,3,6,1,3,1],[1,3,2,4,1,1,2,
1],[1,3,4,2,1,2,1,1],[1,3,1,3,2,1,1,1,1,1],[1,3,8,2,1,8,4,2,1,4,1],[1,11,2,9,
4,1,1,1,4,1],[1,3,8,2,1,8,4,2,1,4,1],[1,11,2,5,8,2,1,4,1],[1,11,2,5,8,2,1,4,
1],[1,7,4,2,7,4,2,1,1,1,4,1],[1,7,4,2,3,4,4,2,1,1,1,4,1],[1,1,10,1,1,8,5,2,1,
1,1,2,1],[1,7,4,1,1,3,4,4,2,1,1,1,2,2,1],[1,5,6,1,1,2,6,5,2,1,2,1,1,1],[1,3,8,
2,1,4,4,4,1,1,1,1,1,2,1],[1,5,6,1,1,2,6,5,2,1,1,2,1,1],[1,3,2,4,1,1,2,4,1],[1,
3,6,1,1,2,4,1],[1,1,2,1,5,1,1,2,1,1,2,1],[1,1,6,1,3,3,3,1,3,1],[1,1,6,1,3,3,3,
1,3,1],[1,7,1,3,3,3,1,3,1],[1,7,4,3,1,2,1,3,1],[1,3,4,4,1,2,1,2,1,1,2,1],[1,3,
4,4,1,2,1,2,1,1,2,1],[1,3,4,1,1,2,1,2,1,2,1,1,2,1],[1,3,4,2,2,1,2,1,2,1,1,2,
1],[1,1,6,1,3,3,1,2,1,1,1,1,1],[1,7,4,3,4,1,2,1],[1,7,4,3,4,1,2,1],[1,7,2,2,3,
4,1,1,1,1],[1,3,4,4,1,4,2,1,1,1,1],[1,3,4,2,2,1,4,2,1,1,1,1],[1,3,2,1,1,2,1],[
1,3,2,1,1,2,1],[1,3,2,1,1,2,1],[1,3,1,1,1,1,2,1],[1,3,2,1,1,2,1],[1,1,2,1,1,1,
1,1,1,1],[1,1,2,1,1,1,1,1,1,1],[1,1,8,1,2,2,1,1,1,1],[1,1,8,1,2,2,1,1,1,1],[1,
5,4,1,2,2,1,1,1,1],[1,5,4,1,2,2,1,1,1,1],[1,5,4,1,2,2,1,1,1,1],[1,5,3,2,1,1,1,
1],[1,5,3,2,1,1,1,1],[1,1,4,3,2,1,1,1,1],[1,1,4,3,2,1,1,1,1],[1,5,1,2,2,1,1,1,
1],[1,1,4,3,2,1,1,1,1],[1,1,3,2,1,1,1,1],[1,1,4,4,1,1],[1,9,4,12,1,1],[1,9,4,
12,1,1],[1,3,4,1,3,1,1],[1,3,4,1,3,1,1],[1,5,5,1,1,1],[1,5,5,1,1,1],[1,5,5,1,
1,1],[1,3,1,1,3,1],[1,5,6,5,1,1,1,1,1],[1,11,5,1,2,1,1],[1,1,10,5,1,2,1,1],[1,
1,5,1,1,1],[1,1,1,1,1,1],[1,7,1,1],[1,3,6,4,3,1,3,4,3,1,1],[1,3,6,4,3,1,3,4,3,
1,1],[1,9,4,3,4,4,3,1,1],[1,3,6,4,3,1,3,4,3,1,1],[1,9,4,3,4,4,3,1,1],[1,9,4,3,
4,4,3,1,1],[1,7,4,3,4,4,1,1,1],[1,3,4,4,1,3,3,4,1,1,1],[1,7,4,7,4,1,1,1],[1,1,
6,4,4,3,4,1,1,1],[1,3,12,1,1,9,9,1,3,3,3,1,3,3,1],[1,7,8,1,3,7,9,1,1,2,2,1,3,
1,2,2,1,1,1],[1,1,4,3,4,1,1],[1,1,4,3,4,1,1],[1,1,4,3,4,1,1],[1,9,1,3,4,2,3,3,
1,1,1,1],[1,1,8,1,3,4,2,2,1,3,1,1,1,1],[1,1,6,1,1,3,3,1,1,1,3,1,1,1,1],[1,7,6,
1,1,3,3,2,2,1,3,1,1,1,1],[1,3,2,1,1,1,1,2,3,1,1,1,1,1],[1,1,5,1],[1,1,5,1],[1,
3,1,1,1,3,1,1],[1,5,1,1,5,1,1,1],[1,15,1,1,5,3,1,1],[1,7,3,9,7,1,9,9,3,1,3,
1],[1,11,10,5,5,10,10,10,5,10,1],[1,3,8,2,8,1,4,1,2,4,8,2,2,6,2,2,2,4,1,4,2,2,
2,4,1],[1,19,6,17,16,2,4,3,6,2,18,6,3,6,1],[1,7,12,6,7,8,12,6,1,3,2,3,6,1,1,3,
3,12,3,6,3,3,1],[1,3,16,2,4,1,16,8,8,2,4,1,4,4,2,4,4,6,4,1,4,4,2,4,1],[1,15,8,
1,3,15,20,16,12,15,6,8,3,3,4,12,1,1,1,6,6,1],[1,11,12,1,1,2,5,8,28,22,2,11,16,
1,1,2,2,4,4,4,4,2,1,1,1,2,4,4,1],[1,19,6,21,20,1,15,3,12,1,3,3,1],[1,11,8,6,5,
8,16,12,2,6,8,1,2,4,8,1,1,2,1,2,1],[1,11,8,2,4,9,4,16,12,1,1,6,8,1,2,4,8,1,1,
2,1,2,1],[1,19,2,4,17,24,16,1,2,4,8,1,1,2,1,2,1],[1,7,12,4,2,3,4,20,14,1,7,8,
1,1,1,4,4,4,1,1,1,1,1,1,1,1],[1,7,12,6,7,12,6,1,3,3,12,12,1,3,3,1],[1,11,8,2,
4,5,8,8,4,2,2,1,2,8,4,4,8,1,1,1,4,1],[1,15,4,4,2,11,8,4,2,1,2,1,2,1,8,4,8,4,1,
2,1,1,2,1],[1,11,6,4,5,8,2,3,2,4,4,1,1,1,4,1],[1,3,8,10,1,8,4,2,3,2,4,4,1,1,1,
4,1],[1,3,8,6,4,1,8,4,2,1,2,2,4,4,1,1,1,2,2,1],[1,11,2,8,5,8,2,1,4,4,4,1,1,1,
2,2,1],[1,7,4,8,2,3,4,4,2,1,1,1,3,1,4,4,1,1,1,1,1,1,1,1],[1,7,8,1,3,4,7,8,4,1,
2,3,3,2,4,4,4,4,8,1,2,1,2,1,4,4,1],[1,15,1,7,11,8,1,2,3,6,7,4,12,1,2,2,1,1,4,
4,1],[1,3,12,1,1,6,1,8,4,6,1,2,1,1,6,2,6,1,1,2,3,3,2,4,1,2,1,2,1,1,1,1,1,2,2,
1],[1,3,2,8,4,1,1,2,2,2,4,4,1,4,1,1,1],[1,3,4,1,5,6,1,4,2,1,2,1,3,2,2,1,1,1,2,
2,1],[1,7,1,7,4,3,4,1,5,3,2,1,2,2,1,1,1],[1,11,10,5,8,2,1,4,4,1,2,1],[1,11,2,
8,5,8,2,1,4,4,1,2,1],[1,11,6,4,9,4,1,1,3,2,4,1,1,1,1],[1,7,1,3,7,1,3,3,4,1,2,
2,2,1],[1,3,4,1,1,2,1,4,2,1,1,1,2,2,2,2,1,1,1,2,2,1],[1,3,6,1,1,2,4,4,1,2,1],[
1,3,2,4,1,1,2,4,4,1,2,1],[1,3,2,4,1,1,2,4,4,1,2,1],[1,3,2,4,1,1,2,4,4,1,2,1],[
1,3,8,2,1,8,4,2,1,4,4,1,2,1],[1,11,2,5,8,2,1,4,4,1,2,1],[1,7,4,2,7,4,2,1,1,1,
4,2,2,1,1,1,1],[1,11,4,1,5,2,9,4,4,2,1,1,1,3,1,3,1,2,4,4,2,1,1,1,1,1,1,1,1],[
1,11,4,1,5,2,5,8,4,2,2,1,4,3,1,2,6,4,1,1,1,1,1,1,1,1],[1,7,8,1,3,4,3,4,8,4,1,
2,1,1,2,2,2,2,4,6,1,1,1,1,1,1,1,1],[1,7,4,4,3,1,2,2,1,4,3,2,1,1,1,2,2,1],[1,3,
4,6,2,1,2,1,2,2,4,1,1,2,2,1,1,1,2,2,1],[1,3,4,8,1,2,3,2,1,1,2,2,1,1,1,1],[1,3,
4,8,1,2,3,2,1,1,2,2,1,1,1,1],[1,3,4,4,4,1,2,2,1,2,1,1,2,2,1,1,1,1],[1,3,4,4,4,
1,2,2,1,2,1,1,2,2,1,1,1,1],[1,3,4,2,4,2,1,2,1,2,2,1,1,2,2,1,1,1,1],[1,7,2,6,3,
1,2,2,1,3,2,1,1,1,1],[1,3,4,6,2,1,2,3,2,1,1,2,2,1,1,1,1],[1,7,8,3,3,2,1,3,2,1,
1,1,1],[1,3,12,4,1,8,6,2,1,2,1,1,4,2,2,1,1,1,2,2,1],[1,3,12,4,1,8,6,2,1,2,1,1,
4,2,2,1,1,1,2,2,1],[1,11,4,4,5,8,2,2,1,2,1,1,2,4,2,1,1,1,2,2,1],[1,11,4,4,5,8,
2,2,1,2,1,1,2,4,2,1,1,1,2,2,1],[1,11,4,2,2,5,8,2,2,1,2,1,1,4,2,2,1,1,1,2,2,
1],[1,7,8,4,3,8,4,2,1,2,1,4,3,2,1,1,1,2,2,1],[1,5,10,1,3,2,6,7,2,3,1,2,3,1,1,
1,1,1,1,1,1,1,1,1,1],[1,5,10,1,3,2,6,7,2,3,1,2,3,1,1,1,1,1,1,1,1,1,1,1,1],[1,
7,4,2,6,2,3,4,4,2,1,1,1,3,4,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,2,4,1,1,2,4,1,2,
1],[1,5,14,1,1,2,8,6,9,2,2,1,1,1,1,2,2,1,1,1,1,1,1,1,1,1,1,1],[1,7,4,1,3,2,3,
2,3,2,1,1,1,3,2,2,1,1,1,1,1,1,1,1],[1,5,6,1,5,2,6,5,2,1,2,1,1,2,1,2,1,1,1,1,1,
1,1,1,1,1,1],[1,9,10,4,9,12,12,4,1,12,1,1,1,1],[1,9,4,9,12,1,1,1],[1,9,4,9,12,
1,1,1],[1,9,4,9,12,1,1,1],[1,9,4,9,12,1,1,1],[1,9,6,4,9,2,12,6,1,6,1,2,1],[1,
15,4,9,14,6,1,6,1,2,1],[1,3,12,4,9,1,12,1,3,3,1,3,3,1,1,1,1],[1,3,13,1,3,4,1,
2,1,1],[1,3,4,4,3,1,1,7,3,1,3,1,1,1,1,1],[1,5,18,16,15,1,5,1,3,3,1,3,3,1],[1,
1,5,1,5,1,1,1],[1,1,5,1,5,1,1,1],[1,5,6,10,5,1,5,1,1,1,2,1,1],[1,5,6,5,5,5,1,
5,1,1,1,1,1,1,1],[1,1,10,1,5,5,1,5,2,1,1,1,1,1],[1,7,7,7,1,1,1,1],[1,15,16,15,
20,15,12,8,1,1],[1,15,4,15,20,12,15,1,4,1,3,1],[1,7,8,4,3,4,16,12,8,4,1,6,8,1,
4,1,1,2,1],[1,3,16,6,1,3,4,1,1],[1,3,16,6,1,3,4,1,1],[1,19,4,6,9,16,8,4,4,3,
12,1,4,3,2,1,1],[1,7,12,4,6,3,4,12,6,8,4,1,3,3,12,1,4,3,2,1,1],[1,7,12,4,3,3,
3,4,12,6,4,4,4,1,3,3,6,6,1,4,3,1,1,1,1],[1,9,10,4,3,3,4,12,9,4,4,4,4,3,6,3,3,
1,4,3,1,1,1,1],[1,9,10,4,3,3,4,12,9,4,4,4,4,3,3,6,3,1,4,3,1,1,1,1],[1,19,4,6,
13,12,8,4,1,3,3,12,1,4,3,2,1,1],[1,7,12,4,6,7,12,6,8,4,1,3,3,12,1,4,3,2,1,1],[
1,7,4,1,3,3,4,4,1,3,3,1,4,1,1,1],[1,7,4,1,3,7,4,1,3,3,1,4,1,1,1],[1,1,6,4,1,3,
4,3,4,1,3,3,1,4,1,1,1],[1,7,4,6,6,3,4,4,1,3,3,1,4,3,1,1],[1,1,12,4,3,6,4,4,4,
1,3,3,4,3,1,1],[1,1,12,4,3,6,8,4,1,3,3,4,3,1,1],[1,1,12,4,3,6,8,4,1,3,3,4,3,1,
1],[1,13,4,3,6,8,4,1,3,3,4,3,1,1],[1,13,4,3,6,8,4,1,3,3,4,3,1,1],[1,1,6,4,1,3,
3,4,3,1,3,4,1,1,1],[1,1,6,4,1,3,3,4,3,1,3,4,1,1,1],[1,7,4,1,3,3,4,3,1,3,4,1,1,
1],[1,1,4,3,6,4,1,3,3,4,3,1,1],[1,9,14,1,1,3,4,16,15,1,3,2,2,3,6,3,4,3,3,1,1,
2,2,3,3,1,1,1,3,1,1,1,1,1,1,1,1],[1,25,1,5,5,25,1,1],[1,5,1,5,1,5,1,1],[1,5,1,
5,1,5,1,1],[1,5,1,5,1,5,1,1],[1,11,1,1],[1,7,7,8,1,1],[1,15,10,5,6,10,6,5,1],[
1,15,10,5,6,10,6,5,1],[1,15,10,5,6,10,6,5,1],[1,15,10,5,6,10,6,5,1],[1,15,10,
5,6,10,6,5,1],[1,3,4,1,1,3,1,4,1,1],[1,5,1,5,1,5,1,5,1,1,1,1],[1,5,18,1,15,1,
1,5,5,1,3,3,5,1,3,1,1,1,1],[1,5,1,15,1,5,1,5,1,3,1,1],[1,7,7,21,7,1,21,21,7,7,
21,7,1],[1,31,1,15,35,40,5,10,15,30,15,20,60,5,10,30,15,15,20,60,6,10,15,1],[
1,7,24,1,3,12,7,32,24,12,1,6,8,3,3,6,12,12,24,4,4,12,12,12,12,24,1,6,8,3,6,12,
24,3,12,4,4,12,12,12,12,24,6,4,6,3,12,1],[1,27,6,12,29,40,30,3,6,12,12,24,2,1,
2,3,6,3,6,12,6,3,6,1],[1,11,16,14,4,5,8,32,24,2,12,16,3,4,2,8,4,8,8,4,16,2,1,
2,2,2,1,4,1,2,2,4,8,4,2,4,1,2,2,4,1],[1,19,8,18,17,16,16,12,2,4,6,8,3,12,2,18,
24,1,6,3,6,6,3,6,1,3,3,1],[1,27,6,12,29,32,2,18,3,6,6,2,18,24,1,6,3,6,6,3,6,1,
3,3,1],[1,19,8,10,8,17,16,16,12,2,4,6,8,3,8,4,2,18,16,8,1,6,3,4,2,6,1,2,2,4,1,
1,2,1,2,1],[1,27,14,4,29,32,2,18,3,10,2,2,34,8,1,10,3,2,6,6,1,2,1,2,1,1,2,1],[
1,7,1,3,7,1,3,3,12,1,6,6,6,3,1],[1,11,8,2,20,5,8,8,4,2,2,1,8,2,8,4,4,8,1,1,1,
4,4,1,2,1],[1,11,8,2,4,16,5,8,8,4,2,2,1,2,8,8,4,4,8,1,1,1,4,4,1,2,1],[1,7,8,1,
3,4,7,8,4,1,2,3,3,2,4,4,4,4,8,8,1,2,1,2,1,4,4,4,4,4,1,2,2,2,1],[1,15,1,7,11,8,
1,2,3,6,7,4,12,8,1,2,2,1,1,4,4,4,4,4,1,2,2,2,1],[1,7,8,1,3,4,7,8,4,1,2,3,3,2,
4,4,4,4,8,4,4,1,2,1,2,1,4,4,2,2,4,4,1,2,1,1,2,1],[1,7,3,9,7,1,9,9,8,3,1,3,4,4,
4,1,2,4,1],[1,3,2,8,4,1,1,2,2,2,4,4,8,1,4,1,1,4,1,2,1],[1,3,2,8,4,1,1,2,2,2,4,
4,8,1,4,1,1,4,1,2,1],[1,15,8,3,13,4,11,8,8,4,1,2,2,9,6,13,2,4,4,4,4,8,4,12,8,
8,3,2,2,1,3,4,1,2,1,2,4,1,1,4,4,4,4,4,4,1,1,1,1,1,1,1,4,4,1],[1,19,10,4,17,24,
16,1,4,2,4,8,4,1,1,2,2,1,2,2,1,1,1,1],[1,11,8,14,5,8,16,12,2,6,8,1,6,4,8,4,1,
1,2,3,2,2,1,1,1,1],[1,19,2,12,17,24,16,1,6,4,8,4,1,1,2,3,2,2,1,1,1,1],[1,11,8,
6,8,5,8,16,12,2,6,8,1,2,4,4,8,4,1,1,2,1,2,2,2,1,1,1,1],[1,19,16,2,8,4,17,24,
40,32,16,16,24,1,6,6,2,4,4,12,8,4,4,28,8,1,3,2,2,1,2,1,2,1,2,12,14,8,8,1,1,2,
2,2,2,2,1,1,2,1,2,2,2,1],[1,11,16,2,4,4,5,8,16,8,8,2,2,4,1,2,4,4,2,8,4,4,6,4,
4,8,4,1,1,1,4,4,4,2,4,2,4,4,1,1,1,2,2,1],[1,19,8,2,8,17,16,8,4,2,4,2,3,6,2,2,
8,4,18,8,4,1,1,6,3,4,6,2,4,4,1,1,1,2,2,1],[1,7,20,10,7,8,20,10,1,5,2,5,6,1,1,
3,3,12,20,2,2,1,3,5,6,3,3,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,15,12,4,6,11,8,8,12,
6,1,2,3,2,2,3,6,1,1,3,3,8,12,8,4,2,2,1,2,1,3,2,6,3,3,1,1,2,2,2,2,1,1,1,1,1,1,
1,1],[1,3,2,8,4,1,1,2,2,2,4,4,8,1,4,1,1,4,1,2,1],[1,11,14,12,5,8,2,3,4,6,4,4,
1,1,1,2,2,4,1,1,1,1],[1,3,16,6,8,1,8,8,2,1,2,2,4,8,2,2,6,2,2,4,2,4,4,1,1,1,4,
2,2,2,4,2,2,2,4,4,1,1,1,2,2,1],[1,3,16,6,8,1,8,8,2,1,2,2,4,8,2,2,6,2,2,4,2,4,
4,1,1,1,4,2,2,2,4,2,2,2,4,4,1,1,1,2,2,1],[1,11,8,6,8,5,8,4,2,3,2,4,8,2,2,6,2,
2,2,4,4,4,1,1,1,4,2,2,2,4,4,2,4,4,1,1,1,2,2,1],[1,11,8,14,5,8,4,2,7,10,10,4,
10,4,1,1,5,10,4,2,4,4,1,1,1,2,2,1],[1,11,8,2,12,5,8,4,2,1,4,4,8,2,2,6,2,2,2,4,
4,4,1,1,1,4,2,2,2,4,2,2,2,4,4,1,1,1,2,2,1],[1,11,8,2,12,5,8,4,2,1,4,4,8,2,2,6,
2,2,2,4,4,4,1,1,1,4,2,2,2,4,2,2,2,4,4,1,1,1,2,2,1],[1,11,8,2,12,8,5,8,8,4,2,2,
1,8,6,4,4,4,4,4,4,4,12,4,2,2,1,1,3,6,1,1,2,2,1,1,2,2,2,2,4,1,1,2,1,2,2,2,2,2,
1],[1,15,1,15,8,11,8,1,2,3,10,7,4,4,12,1,2,4,4,2,1,1,4,4,2,2,1,2,1,1,2,1],[1,
11,2,8,5,8,2,1,4,4,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,11,2,8,5,8,2,1,4,4,4,4,4,1,
1,1,2,2,2,2,1,1,1,1],[1,11,6,4,5,8,2,3,2,4,4,4,4,1,1,1,4,2,2,1,1,1,1],[1,3,8,
6,4,1,8,4,2,1,2,2,4,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,3,8,6,4,1,8,4,2,1,2,2,4,4,
4,4,1,1,1,2,2,2,2,1,1,1,1],[1,15,3,13,11,8,1,2,9,6,13,4,12,4,3,2,1,3,2,1,1,4,
4,2,2,2,1,1,1,2,2,1],[1,7,8,3,9,4,7,8,4,1,2,9,9,2,4,4,4,4,8,4,3,2,1,3,1,2,1,4,
4,2,2,2,1,1,1,2,2,1],[1,19,10,4,17,16,2,4,5,6,2,2,4,18,4,1,6,3,1,6,4,2,4,4,1,
1,1,2,2,1],[1,3,16,10,4,1,16,8,8,2,4,3,2,4,4,4,2,4,4,6,4,4,1,1,4,4,1,2,4,4,2,
4,4,1,1,1,2,2,1],[1,23,8,1,11,4,23,24,16,12,1,16,6,8,3,8,7,2,4,4,20,8,20,8,1,
1,1,2,2,2,4,1,2,2,8,6,1,4,4,3,1,2,2,2,1,1,1,1,1,2,2,1,1,2,2,1],[1,15,16,1,7,8,
11,8,32,24,1,2,12,16,3,2,3,4,4,4,4,4,12,4,8,16,12,4,2,1,2,1,1,2,1,2,3,1,4,2,2,
4,4,1,4,4,2,2,2,4,1,2,2,1,1,1,1,1,1,2,2,1],[1,11,8,2,4,5,8,8,4,2,2,1,2,8,4,4,
8,8,1,1,1,4,4,1,2,1],[1,15,8,1,7,4,11,8,8,4,1,2,2,3,6,7,2,4,4,4,4,4,12,8,4,1,
2,2,1,2,1,2,1,1,4,4,4,4,2,2,2,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,11,2,12,4,5,5,10,
2,2,10,4,10,4,1,4,1,5,10,2,4,4,1,1,1,2,2,1],[1,3,8,2,8,8,1,4,1,2,2,2,4,8,2,2,
4,6,2,2,2,4,4,1,4,1,1,4,2,2,2,4,2,4,4,1,1,1,2,2,1],[1,11,20,1,1,6,5,8,8,28,26,
2,11,2,16,1,1,6,2,6,1,1,2,4,3,3,4,2,4,4,4,2,2,2,1,2,1,1,1,2,4,2,4,1,1,1,1,1,2,
2,1,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,3,12,1,5,10,1,8,4,6,1,2,
2,1,3,6,2,6,1,1,2,3,3,2,4,2,2,1,2,1,1,2,1,2,1,1,1,1,1,2,2,2,1,1,2,2,1,1,1,1,1,
1,1,1],[1,9,4,9,12,9,1,1,1,1],[1,9,4,9,12,9,1,1,1,1],[1,9,4,27,12,9,1,1,1,2,
1],[1,9,4,27,12,9,1,1,1,2,1],[1,9,4,9,18,12,9,1,1,1,1,1,1],[1,9,10,4,9,9,9,12,
12,4,9,1,12,1,1,1,1,1,1,1],[1,9,10,4,18,9,12,12,4,9,1,12,1,1,1,1,1,1,1],[1,9,
12,4,9,18,4,12,12,9,1,12,1,4,1,2,1],[1,21,4,9,18,16,12,9,1,12,1,4,1,2,1],[1,
15,6,4,9,9,9,2,14,6,6,9,1,6,6,1,2,2,1,1,1,1],[1,21,13,9,10,42,3,9,4,1,2,1,3,3,
4,3,6,3,1,1],[1,3,12,13,1,9,9,1,3,12,3,3,4,1,2,1,3,3,4,3,1,1,1],[1,15,16,4,9,
15,27,2,12,14,10,6,9,1,6,8,18,6,6,1,1,1,2,2,6,1,1,1,2,2,1],[1,3,6,13,3,1,3,4,
6,3,3,4,1,2,1,3,3,4,1,3,1,1],[1,15,15,20,16,15,1,1],[1,5,18,5,15,16,15,1,5,15,
15,1,3,3,5,1,3,1,3,3,1,3,3,1],[1,1,10,1,5,5,1,5,5,5,2,1,5,1,1,1,1,1,1,1],[1,
19,16,6,17,16,16,2,4,3,6,2,18,4,8,6,3,6,4,8,8,1,1],[1,7,12,16,6,7,8,12,6,16,1,
3,2,3,6,1,1,3,3,12,8,4,3,6,3,3,4,8,4,4,1,1],[1,15,24,4,3,9,15,20,48,36,4,12,
12,15,18,24,9,9,12,36,1,4,12,12,1,3,3,18,18,1,3,3,4,3,1,3,3,1],[1,19,20,4,3,3,
6,9,16,52,42,4,4,8,8,4,4,21,32,3,3,6,6,12,12,12,12,1,4,8,8,4,4,4,3,3,3,6,12,
12,1,1,2,1,2,4,3,1,1,1,2,2,1],[1,27,16,18,33,20,16,3,15,9,36,12,8,1,9,9,12,3,
1,1],[1,27,16,6,12,21,32,16,18,3,6,12,24,12,8,1,3,6,3,6,4,8,3,1,1],[1,7,16,3,
9,7,16,1,9,9,4,3,1,3,4,1,1,1],[1,7,20,4,12,6,3,4,28,18,8,8,4,1,9,8,3,3,3,12,
12,12,1,4,4,4,1,3,3,3,3,3,3,2,1,2,4,3,1,1,1,1],[1,27,4,6,12,21,32,8,12,18,3,6,
12,24,1,4,4,4,1,3,6,3,6,2,3,4,3,1,1,1,1],[1,19,12,4,1,9,6,9,16,12,6,8,8,4,4,3,
6,3,3,6,18,12,1,4,4,4,1,3,3,3,3,3,3,2,2,1,4,3,1,1,1,1],[1,19,12,4,1,9,6,13,12,
12,6,8,8,4,1,3,3,3,3,3,3,6,12,12,6,1,4,4,4,1,3,3,3,3,3,3,2,2,1,4,3,1,1,1,1],[
1,3,12,16,6,6,1,6,16,3,6,3,3,6,6,4,1,3,3,4,3,1,1],[1,3,12,16,12,1,6,16,3,6,3,
3,6,6,4,1,3,3,4,3,1,1],[1,3,12,16,12,1,6,16,3,6,3,3,6,6,4,1,3,3,4,3,1,1],[1,
15,16,12,7,16,3,6,3,9,6,4,1,3,3,4,3,1,1],[1,7,12,4,4,12,6,3,4,12,6,4,4,4,1,3,
3,3,6,3,6,6,6,6,1,4,4,4,1,3,3,3,3,3,3,1,1,1,4,3,1,1,1,1],[1,15,8,4,1,3,15,20,
16,12,8,12,15,6,8,3,3,4,12,1,4,4,4,1,1,1,6,6,3,2,4,1,1,1,1,1],[1,7,12,16,6,7,
12,6,16,1,3,3,12,12,4,1,3,3,4,1,1,1],[1,19,16,6,21,20,16,1,15,3,12,12,8,1,3,3,
4,1,1,1],[1,13,18,4,1,3,6,18,15,8,8,4,6,3,1,6,3,3,3,3,3,4,4,4,3,1,3,3,3,3,3,1,
4,3,1,1,1,1],[1,13,18,4,1,3,6,18,15,8,8,4,6,3,1,6,3,3,3,3,3,4,4,4,3,1,3,3,3,3,
3,1,4,3,1,1,1,1],[1,7,12,4,1,3,6,3,6,4,4,4,3,6,1,3,3,3,6,6,4,4,4,1,3,3,3,3,3,
3,1,4,3,1,1,1,1],[1,5,25,1,5,1,5,5,5,1,1,1],[1,5,25,1,5,1,5,5,5,1,1,1],[1,5,5,
1,5,1,5,1,5,1,1,1],[1,5,30,25,1,5,1,6,25,5,5,5,5,1,1,1,1,1],[1,15,10,10,15,5,
15,6,10,10,10,15,6,5,10,6,5,1,1],[1,25,10,15,20,6,20,10,15,6,5,10,6,5,1,1],[1,
25,10,15,20,6,20,10,15,6,5,10,6,5,1,1],[1,25,10,15,20,6,20,10,15,6,5,10,6,5,1,
1],[1,15,10,10,15,5,15,6,10,10,10,15,6,5,10,6,5,1,1],[1,1,10,15,6,10,5,6,10,6,
5,1],[1,1,10,15,6,10,5,6,10,6,5,1],[1,1,30,10,20,15,6,10,10,10,5,12,6,5,10,6,
5,1,1],[1,15,16,10,5,15,15,6,10,10,10,5,6,6,6,5,10,6,5,1,1],[1,5,18,4,16,15,1,
20,5,1,3,3,1,4,1,3,3,5,4,1,1,1],[1,5,18,1,5,15,15,1,1,5,5,15,1,3,3,5,5,5,1,1,
3,3,5,1,1,1,3,1,1,1,1],[1,1,10,20,2,4,1],[1,31,24,3,21,12,35,40,72,60,1,30,30,
48,9,18,21,6,12,12,12,12,24,24,12,36,24,72,24,2,6,3,6,6,1,2,3,6,12,3,6,6,3,6,
6,36,36,24,24,3,3,12,12,12,12,6,6,12,12,12,1,6,6,2,6,6,6,12,2,3,6,3,3,6,6,12,
3,3,3,6,6,12,12,12,12,1,3,3,6,6,6,6,1],[1,39,8,1,27,12,47,56,16,12,5,24,6,8,
15,36,15,6,20,4,84,24,36,24,1,1,5,10,6,6,36,15,6,6,12,6,15,20,60,9,3,6,6,6,6,
10,1,3,3,3,3,6,6,15,3,3,3,6,6,6,1,1,1,3,3,3,3,1],[1,31,8,3,21,4,35,40,8,4,5,
10,2,21,30,21,2,4,4,20,4,8,4,60,8,8,8,7,10,2,1,3,4,1,30,15,2,4,1,15,20,60,4,4,
4,4,4,4,4,8,8,8,8,1,6,10,1,1,1,1,15,1,2,2,2,4,4,4,4,4,4,4,4,8,1,1,1,2,2,2,2,2,
2,1],[1,15,24,3,13,12,11,8,32,24,12,1,2,6,8,9,6,13,6,12,12,24,4,4,4,12,8,12,
12,12,12,24,8,8,3,2,6,8,1,3,4,3,2,1,6,12,4,24,3,1,12,4,4,4,4,12,12,12,12,24,4,
4,4,4,4,8,8,8,8,1,6,4,6,1,1,1,3,1,12,1,2,2,2,4,4,4,4,4,4,4,4,8,1,1,1,2,2,2,2,
2,2,1],[1,15,8,3,29,20,11,8,8,4,1,2,2,9,14,13,10,4,4,4,4,8,4,12,8,8,3,2,2,1,3,
8,12,1,2,1,2,4,1,1,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,4,2,2,4,4,4,1,1,1,2,2,1],[1,
15,8,7,25,4,11,8,8,4,1,2,2,21,6,25,2,4,4,4,4,8,4,12,8,8,8,7,2,2,7,21,4,1,2,1,
2,4,1,1,4,4,4,4,4,4,4,4,4,7,1,1,1,1,1,1,2,4,4,4,4,4,4,4,1,1,1,2,2,1],[1,15,8,
3,13,4,11,8,8,4,1,2,2,9,6,13,2,4,4,4,4,8,4,12,8,8,8,8,3,2,2,1,3,4,1,2,1,2,4,1,
1,4,4,4,4,4,4,4,4,8,8,1,1,1,1,1,1,1,4,2,2,4,4,4,2,1,1,1,2,1],[1,15,8,3,13,4,
11,8,8,4,1,2,2,9,6,13,2,4,4,4,4,8,4,12,8,8,16,3,2,2,1,3,4,1,2,1,2,4,1,1,4,4,4,
4,4,4,8,8,8,1,1,1,1,1,1,1,4,4,4,8,2,1,2,2,1],[1,27,16,2,12,20,29,32,40,32,2,
18,16,24,3,12,6,10,4,4,2,12,8,4,18,16,28,24,4,1,3,2,2,1,2,1,6,2,3,6,4,12,14,8,
8,6,1,5,6,2,6,2,4,4,1,2,2,1,2,3,2,1,4,2,1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,27,16,
2,28,4,29,32,40,32,2,18,16,24,3,20,6,2,4,4,2,12,8,4,34,44,8,4,1,3,2,2,1,2,1,
10,2,3,2,16,14,8,8,6,9,1,2,6,2,2,4,4,1,2,2,2,3,1,2,1,4,2,1,2,2,2,2,2,1,1,1,1,
1,1,1,1],[1,11,16,2,12,12,5,8,8,8,2,2,1,8,6,4,4,8,8,2,2,4,6,4,2,2,4,2,4,12,4,
8,4,2,2,1,1,3,6,1,1,2,2,1,1,4,2,2,2,4,2,2,2,2,4,4,2,4,4,4,4,4,4,1,1,1,2,1,2,2,
2,1,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,11,16,2,12,12,5,8,8,8,2,2,1,8,6,4,4,
8,8,2,2,4,6,4,2,2,4,2,4,12,4,8,4,2,2,1,1,3,6,1,1,2,2,1,1,4,2,2,2,4,2,2,2,2,4,
4,2,4,4,4,4,4,4,1,1,1,2,1,2,2,2,1,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,15,32,
1,7,16,11,8,32,48,32,1,2,16,8,16,3,2,3,8,12,12,24,4,4,12,4,12,12,12,12,8,32,
12,4,4,4,2,1,6,8,1,1,2,3,2,3,1,8,2,12,2,4,24,4,3,12,4,4,12,12,12,12,24,2,2,2,
4,2,2,4,4,4,4,4,4,4,4,4,4,6,4,6,1,2,2,1,1,1,1,3,12,1,2,1,1,2,2,2,2,2,2,2,2,2,
2,2,4,4,4,4,1,1,2,2,1,1,1,1,1,2,2,1],[1,15,16,1,7,8,11,8,32,24,1,2,12,16,3,2,
3,4,4,4,4,4,12,4,8,16,12,4,4,4,8,2,1,2,1,1,2,1,2,3,1,4,2,2,4,4,1,4,4,2,2,2,4,
2,2,4,4,4,4,4,1,2,2,1,1,1,1,1,1,2,2,1,1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,19,16,
26,12,17,16,32,24,2,4,12,16,5,14,6,10,4,8,8,18,16,32,4,2,1,2,2,6,2,3,4,8,1,2,
6,4,2,4,12,8,2,4,4,1,4,2,4,1,2,2,4,3,1,2,1,2,2,1,1,1,1,1,1,1,1],[1,35,18,20,
41,48,2,32,5,10,10,2,12,42,40,4,2,1,2,10,5,10,3,6,6,8,16,2,4,4,1,2,8,3,6,1,3,
2,1,2,2,1,1,1,1,1,1,1,1],[1,11,16,2,4,20,5,8,16,8,8,2,2,4,1,2,8,4,4,2,8,4,4,6,
4,4,8,12,1,1,1,4,4,4,2,4,4,2,4,4,4,1,1,2,1,2,2,2,1,1,1,1],[1,11,16,2,20,4,5,8,
16,8,8,2,2,4,1,8,2,4,4,2,8,4,4,6,4,4,8,12,1,1,1,4,4,4,2,4,4,2,4,4,4,1,1,2,1,2,
2,2,1,1,1,1],[1,11,24,14,8,5,8,32,28,2,12,16,3,4,2,4,8,2,2,8,6,2,2,8,10,4,4,
16,4,4,4,2,1,2,2,2,1,4,1,2,4,2,2,2,4,2,4,8,4,2,2,2,4,4,4,4,4,4,1,2,4,1,2,2,4,
1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,27,8,6,16,29,40,4,30,3,6,4,8,2,2,14,2,2,
2,12,4,24,4,4,4,2,1,2,3,6,3,4,2,2,2,4,6,12,2,2,2,4,4,4,4,4,4,1,6,3,6,1,1,1,2,
2,2,2,2,2,1,1,1,1,1,1,1,1],[1,23,8,1,19,12,23,24,16,12,1,16,6,8,3,12,7,6,4,4,
20,8,20,8,8,1,1,1,2,6,6,4,1,2,2,8,6,1,4,4,5,3,2,2,2,4,4,4,1,1,1,1,1,2,2,1,3,1,
1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,11,2,12,4,5,5,10,2,2,10,4,10,8,12,1,4,1,5,
10,4,4,2,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,11,2,12,4,5,5,10,2,2,10,4,10,8,12,1,4,
1,5,10,4,4,2,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,15,8,3,13,4,11,8,8,4,1,2,2,9,6,13,
2,4,4,4,4,4,12,8,16,3,2,2,1,3,1,2,1,2,1,1,4,4,4,4,8,8,8,4,4,4,4,1,1,1,4,2,2,2,
2,2,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,15,40,15,20,24,15,16,2,24,16,8,1,6,
8,2,2,1],[1,21,4,27,18,16,12,9,9,9,1,12,9,1,4,1,2,2,1,1,1,1],[1,21,4,27,18,16,
12,9,9,9,1,12,9,1,4,1,2,2,1,1,1,1],[1,9,12,4,27,18,4,12,12,9,9,9,1,12,9,1,4,1,
2,2,1,1,1,1],[1,9,12,4,27,18,4,12,12,9,9,9,1,12,9,1,4,1,2,2,1,1,1,1],[1,9,10,
4,9,45,9,12,12,4,9,18,9,9,18,1,12,9,1,1,1,1,1,1,2,2,1,1,2,1,2,1],[1,21,22,4,9,
9,18,30,45,4,12,16,16,12,18,9,9,18,9,1,12,16,24,12,12,9,1,1,1,4,4,12,1,1,1,2,
2,4,4,1,1,1,2,2,1],[1,9,10,4,9,9,9,12,12,4,9,9,9,1,12,9,1,1,1,1,1,1,1,1,1,1],[
1,21,18,13,3,9,10,30,27,5,3,42,18,3,12,9,12,9,9,4,1,2,1,3,18,6,3,3,3,3,3,9,4,
8,1,3,6,3,1,3,3,3,3,3,3,4,1,3,3,1,1,1,1],[1,11,10,5,16,5,10,10,10,16,5,10,1,
1],[1,35,10,20,25,40,16,20,5,10,20,40,16,1,5,10,5,10,5,1,1],[1,21,28,21,14,28,
8,21,14,8,14,1],[1,21,28,21,14,28,8,21,14,8,14,1],[1,21,28,21,14,28,8,21,14,8,
14,1],[1,21,28,21,14,28,8,21,7,7,8,7,7,1],[1,7,28,7,28,8,1,7,8,7,1,1],[1,15,
31,5,6,10,15,10,6,5,10,5,6,10,6,5,1,1],[1,27,64,6,12,29,40,30,3,6,12,12,24,80,
64,2,1,2,3,6,3,6,12,6,3,6,8,4,8,1,1],[1,19,8,16,18,17,16,16,12,32,16,2,4,6,8,
3,12,2,18,24,4,8,16,1,6,3,6,6,3,6,4,8,8,8,1,3,3,4,1,1,1],[1,27,16,6,12,29,32,
48,2,18,3,6,6,2,18,24,4,8,16,1,6,3,6,6,3,6,12,8,8,1,3,3,4,1,1,1],[1,31,16,1,
15,35,40,16,5,10,15,30,15,20,60,4,8,16,5,10,30,15,15,20,60,4,8,8,6,10,15,4,8,
8,1,1,1],[1,7,24,16,1,3,12,7,32,24,12,16,1,6,8,3,3,6,12,12,24,4,4,12,12,12,12,
24,8,4,16,1,6,8,3,6,12,24,3,12,4,4,12,12,12,12,24,4,8,4,4,6,4,6,3,12,4,8,4,4,
1,1,1],[1,43,16,30,12,53,64,32,16,2,46,3,18,6,2,66,24,4,8,16,3,18,3,6,6,18,3,
6,8,16,4,8,8,1,6,3,3,6,4,8,3,1,1],[1,19,24,16,18,24,17,16,48,36,32,16,2,4,18,
24,3,12,12,2,18,48,24,4,8,16,3,6,3,12,6,6,3,6,6,12,8,16,4,8,8,1,3,6,3,6,4,8,3,
1,1],[1,19,16,18,12,17,16,16,2,4,9,6,6,2,12,18,12,4,8,16,3,6,3,3,6,12,6,12,12,
4,8,8,1,3,3,6,6,4,8,3,1,1],[1,19,24,16,6,12,17,16,24,12,16,16,16,2,4,6,3,6,6,
2,24,12,18,24,12,4,8,16,3,3,6,3,12,6,6,12,12,4,4,4,8,8,1,3,3,6,6,4,8,3,1,1],[
1,7,36,16,18,7,8,36,18,32,16,1,9,2,9,6,1,1,3,3,36,36,6,6,8,4,16,3,9,9,6,3,3,3,
3,6,6,6,6,8,4,8,4,4,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,31,12,16,12,6,19,24,8,12,6,
32,16,1,6,3,2,6,3,6,1,1,3,3,24,12,24,12,6,6,8,4,16,3,6,3,3,6,6,3,3,3,3,6,6,6,
6,8,4,8,4,4,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,7,24,16,3,9,12,7,24,12,32,16,1,6,9,
9,6,12,12,12,12,24,12,4,16,3,6,1,3,3,6,3,12,12,6,6,6,8,4,1,3,3,6,6,1,4,3,1,2,
1],[1,31,16,3,21,19,24,32,16,1,6,9,18,21,12,36,12,4,16,3,6,1,3,6,3,3,12,12,6,
6,6,8,4,1,3,3,6,6,1,4,3,1,2,1],[1,7,16,7,21,7,16,1,21,21,4,16,7,7,21,4,7,1,4,
1,1,1],[1,27,32,4,4,18,12,21,32,88,72,4,12,8,8,12,18,36,56,3,12,12,6,12,12,28,
24,12,12,60,24,1,4,4,8,8,12,12,4,4,4,1,7,4,6,3,6,3,6,3,6,24,30,24,24,3,3,6,6,
6,1,3,2,3,2,4,4,4,4,4,4,4,4,6,3,3,6,3,6,6,6,1,1,1,3,3,2,2,1,1,4,3,1,1,1,1,1,1,
1,1],[1,43,16,30,12,45,56,32,16,4,24,9,24,6,6,78,24,12,8,16,1,24,9,6,18,12,3,
6,16,8,4,3,4,3,3,6,1,4,3,1,1,1,1],[1,7,16,1,3,7,16,1,3,3,12,4,16,1,6,6,6,4,3,
4,1,1],[1,7,36,16,18,7,24,36,18,32,16,1,9,6,9,18,3,3,9,9,12,36,6,6,4,16,1,3,9,
18,9,9,3,3,6,6,6,6,8,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,5,30,5,25,25,1,5,25,1,
6,25,5,5,1,5,5,5,5,5,1,5,5,1,1,1,1,1,1,1],[1,1,20,10,15,10,6,20,20,10,5,15,15,
6,10,10,10,15,6,5,10,6,5,1,1],[1,1,20,10,15,10,6,20,20,10,5,15,15,6,10,10,10,
15,6,5,10,6,5,1,1],[1,21,10,15,10,6,20,30,5,15,15,6,10,10,10,15,6,5,10,6,5,1,
1],[1,21,10,15,10,6,20,30,5,15,15,6,10,10,10,15,6,5,10,6,5,1,1],[1,1,30,10,1,
15,15,6,10,10,10,15,5,15,12,6,10,10,10,5,6,6,6,5,10,6,5,1,1],[1,1,30,10,1,15,
15,6,10,10,10,15,5,15,12,6,10,10,10,5,6,6,6,5,10,6,5,1,1],[1,1,30,10,1,15,20,
15,6,10,10,10,5,15,15,12,6,5,10,10,10,5,6,6,6,5,10,6,5,1,1,1],[1,25,26,10,15,
15,20,40,45,6,10,10,20,20,10,20,15,30,15,15,6,6,6,5,10,20,20,10,10,15,6,6,6,5,
5,5,10,6,5,1,1,1,1,1],[1,5,18,4,5,15,16,15,1,20,5,15,15,1,3,3,1,20,4,5,1,3,1,
3,3,5,4,1,3,3,5,1,4,1,1,1],[1,25,1,10,20,10,20,25,2,4,10,20,1,1],[1,25,1,10,
20,5,25,25,2,4,1,5,1,1],[1,31,24,7,33,12,35,40,32,24,12,5,10,6,8,33,30,33,6,
12,12,24,4,4,20,12,24,12,12,12,60,24,24,24,11,10,6,8,7,21,12,3,30,15,6,12,12,
24,3,15,12,4,4,20,60,12,12,12,12,24,12,12,12,12,12,24,24,24,24,7,6,6,10,4,6,3,
3,3,3,15,12,3,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,24,1,1,1,2,3,3,3,3,6,
6,6,6,6,6,6,6,6,6,6,3,3,3,6,1],[1,31,24,7,33,12,35,40,72,60,1,30,30,48,21,18,
33,6,12,12,12,12,24,24,12,36,24,72,24,24,2,6,7,6,6,7,2,21,6,12,3,6,6,3,6,6,36,
36,24,24,3,3,12,12,12,12,6,6,12,12,12,12,12,12,7,6,6,2,6,6,6,12,2,3,6,3,3,6,6,
12,3,3,3,6,6,6,12,12,12,12,12,12,12,12,12,1,1,3,3,3,6,6,6,6,6,6,6,6,1,3,3,1],[
1,31,8,3,21,4,35,40,8,4,5,10,2,21,30,21,2,4,4,20,4,8,4,60,8,8,8,8,24,7,10,2,1,
3,4,1,30,15,2,4,1,15,20,60,4,4,4,4,4,4,12,12,12,8,8,8,8,8,8,1,6,10,1,1,1,1,15,
1,6,4,2,2,2,2,4,4,4,4,4,4,4,4,4,8,8,1,1,2,2,1,1,1,2,2,2,2,2,2,2,2,2,1,1,1,2,2,
1],[1,15,24,3,29,28,11,8,32,24,12,1,2,6,8,9,14,13,14,12,12,24,4,4,4,12,8,12,
12,12,12,24,8,24,3,2,6,8,1,3,8,12,3,2,1,6,12,4,24,3,1,12,4,4,4,4,12,12,12,12,
24,4,4,4,4,12,12,12,8,8,8,8,1,6,4,6,1,1,1,3,1,12,1,4,2,2,4,6,2,2,4,4,4,4,4,4,
4,4,8,8,1,1,1,1,2,1,2,2,2,2,2,2,2,2,2,2,1,1,1,2,2,1],[1,31,40,3,21,20,35,40,
32,88,68,1,30,34,8,48,9,18,21,10,20,20,24,4,4,12,20,24,12,12,24,20,36,40,72,
24,8,8,8,2,6,3,6,10,8,1,2,3,6,12,5,6,6,3,6,10,36,12,36,24,24,24,5,3,12,4,4,12,
12,12,12,20,20,24,6,6,12,12,12,4,4,4,4,4,8,8,8,8,8,8,8,8,8,8,8,8,8,8,1,6,4,6,
6,6,2,6,6,6,12,2,3,6,3,3,6,6,12,5,3,12,3,6,6,2,4,2,2,2,2,4,12,12,12,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,8,8,12,8,8,8,1,1,3,1,2,1,1,3,6,2,4,4,2,2,2,2,2,6,2,2,2,2,2,
2,2,6,6,2,2,4,4,1,1,1,2,2,2,2,2,2,1],[1,47,24,3,45,28,59,72,72,60,5,38,30,48,
21,50,29,14,12,12,28,12,24,24,12,116,56,104,56,8,2,6,7,14,6,1,2,3,14,20,3,42,
6,17,14,14,44,36,24,24,3,17,28,68,12,12,18,10,20,20,20,4,4,4,8,8,8,8,1,6,10,6,
6,6,10,10,10,12,2,3,14,3,3,6,6,20,3,17,3,6,10,6,6,12,2,2,2,20,20,12,4,4,4,4,4,
4,12,8,1,1,3,2,2,6,6,1,1,1,3,2,2,2,2,6,2,2,2,6,6,2,2,10,6,2,2,1,2,1,1,2,2,2,2,
2,1],[1,15,8,7,41,20,11,8,8,4,1,2,2,21,14,25,10,4,4,4,4,8,4,12,8,8,8,8,8,7,2,
2,7,21,8,12,1,2,1,2,4,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,7,1,1,1,1,1,1,4,2,2,4,
2,4,2,2,4,4,4,4,4,4,4,4,1,1,1,2,1,1,1,1,2,2,2,2,2,1,1,1,1],[1,51,40,18,36,33,
56,144,24,24,9,18,36,72,16,2,24,16,8,24,24,1,9,18,9,18,16,12,24,48,6,24,9,8,2,
2,6,6,8,6,6,1,1],[1,15,24,40,3,9,15,20,48,36,4,12,24,24,15,18,24,9,9,12,36,16,
2,24,16,8,12,12,12,12,1,3,3,18,18,16,1,3,6,6,4,12,3,8,2,2,3,3,3,3,4,4,1,3,1,
1],[1,27,40,18,33,20,16,72,3,15,9,36,16,2,24,16,8,1,9,9,16,12,6,12,3,8,2,2,1,
3,1,1],[1,21,22,4,9,45,18,30,45,4,12,16,16,12,18,9,18,9,9,18,9,18,9,9,9,1,12,
16,24,12,12,9,9,9,9,9,9,9,1,1,1,4,4,12,9,1,1,1,2,2,2,2,4,4,1,1,1,1,2,1,2,1,1,
2,2,1,1,1,1,1,1,1,1],[1,15,10,5,6,25,10,6,15,5,10,5,6,10,6,1,5,1],[1,11,40,30,
5,40,20,16,10,15,10,10,20,10,20,32,16,5,5,5,10,20,10,20,20,16,1,5,5,10,10,5,1,
1],[1,11,10,20,20,5,16,5,10,10,10,10,20,10,20,16,5,20,5,5,10,10,20,20,16,1,5,
5,10,10,5,1,1],[1,31,1,15,35,40,16,5,10,15,30,15,20,60,16,5,10,30,15,15,20,60,
16,6,10,15,1,1,1],[1,35,10,60,25,40,16,20,5,30,20,40,20,16,1,5,10,15,10,10,16,
5,5,5,5,1,1,1],[1,21,28,28,21,14,42,28,28,28,8,21,21,21,14,28,8,21,8,14,8,1,
1],[1,21,28,28,21,14,42,28,28,28,8,21,21,21,14,28,8,21,8,14,8,1,1],[1,21,28,
28,21,14,42,28,28,28,8,21,21,21,14,28,8,21,8,14,8,1,1],[1,45,40,45,30,36,120,
45,10,36,30,10,30,10,12,1],[1,45,40,45,30,36,120,45,10,36,30,10,30,10,12,1],[
1,45,40,45,30,36,120,45,10,36,30,10,30,10,12,1],[1,45,40,45,30,36,120,45,10,
36,30,10,30,10,12,1],[1,45,31,45,50,6,110,45,45,10,6,5,10,5,45,15,6,10,20,18,
15,30,15,6,10,5,1,6,5,3,1,1],[1,15,10,31,15,5,15,6,10,10,40,15,15,10,6,5,10,5,
15,10,15,6,10,10,10,6,5,15,6,5,10,1,6,5,1,1,1],[1,15,48,31,5,45,45,6,1,105,10,
30,15,15,10,6,18,18,5,10,5,30,15,15,6,10,10,10,18,15,5,6,6,6,10,5,1,6,5,3,1,
1],[1,31,24,64,3,21,12,35,40,72,60,64,1,30,30,48,9,18,21,6,12,12,12,12,24,24,
12,36,24,72,24,80,64,2,6,3,6,6,1,2,3,6,12,3,6,6,3,6,6,36,36,24,24,3,3,12,12,
12,12,6,6,12,12,12,16,1,6,6,2,6,6,6,12,2,3,6,3,3,6,6,12,3,3,3,6,6,12,12,12,12,
8,4,8,1,3,3,6,6,6,6,4,8,8,1,1,1],[1,51,16,42,36,65,80,32,48,2,60,9,18,18,2,36,
90,72,12,4,8,16,16,16,4,3,6,18,9,18,9,6,18,18,36,6,12,12,8,16,12,8,8,16,1,6,
18,9,18,3,3,6,3,6,6,4,4,8,4,8,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,19,32,16,42,36,
17,16,64,48,32,32,16,2,4,24,32,9,18,18,26,12,24,24,18,48,48,12,4,8,16,16,16,4,
3,6,6,6,6,3,12,12,3,6,6,6,6,12,24,24,6,12,12,8,16,4,8,8,8,16,1,6,6,12,3,6,6,
12,3,3,6,3,6,6,4,4,8,4,8,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,43,32,16,6,48,12,53,
64,88,72,16,16,32,32,16,2,46,36,56,3,36,18,6,12,12,2,36,24,12,66,84,24,12,4,8,
16,32,32,16,16,3,7,6,6,3,6,3,18,6,3,6,36,42,24,24,6,21,3,6,6,6,6,12,12,4,4,8,
16,4,8,8,16,8,1,6,6,6,3,3,6,3,6,6,3,6,6,6,6,6,4,4,4,8,8,8,8,1,3,3,3,3,3,3,1,4,
3,1,1,1,1],[1,27,48,16,6,24,36,29,32,120,96,16,48,48,2,18,48,72,3,24,18,18,12,
12,2,36,24,12,18,48,84,24,12,4,8,16,48,48,1,9,6,6,3,6,3,6,6,3,6,12,36,42,24,
24,6,3,9,6,6,18,6,12,12,4,12,16,12,8,16,8,1,6,6,3,6,3,6,3,6,6,3,6,6,6,6,6,4,
12,12,8,8,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,55,24,16,1,51,36,71,88,48,36,32,32,
16,5,52,18,24,15,48,15,18,20,12,132,72,108,72,4,8,16,16,16,3,3,5,10,18,18,48,
15,18,18,36,18,15,20,60,27,9,18,18,18,8,8,16,16,4,8,8,16,6,10,3,9,9,9,9,18,18,
15,9,9,9,18,18,18,4,4,8,8,4,8,8,1,3,3,9,9,9,9,1,4,8,3,1,1,1,1],[1,39,8,16,1,
27,12,47,56,16,12,32,48,5,24,6,8,15,36,15,6,20,4,84,24,36,24,4,8,16,16,16,1,1,
5,10,6,6,36,15,6,6,12,6,15,20,60,9,3,6,6,6,12,8,8,8,16,6,10,1,3,3,3,3,6,6,15,
3,3,3,6,6,6,4,4,4,8,8,1,1,1,3,3,3,3,1,4,1,1,1,1,1],[1,51,64,42,36,65,64,64,6,
36,9,30,18,6,12,102,72,12,80,64,2,1,2,30,9,18,3,18,18,12,24,6,12,12,48,32,3,6,
12,3,6,3,9,6,3,6,6,8,4,8,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,31,24,16,7,33,12,35,40,
24,12,16,16,16,5,10,6,33,30,33,6,12,12,20,12,24,12,60,24,24,24,4,8,16,16,16,
11,10,6,3,9,12,3,30,15,6,12,3,15,20,60,12,12,12,12,12,12,12,24,24,24,24,4,4,4,
8,8,16,3,6,10,3,3,3,3,15,3,6,6,6,12,12,12,12,12,12,12,12,24,4,4,8,4,8,8,8,1,3,
3,6,6,6,6,6,6,1,4,8,3,1,1,1,1],[1,27,24,64,6,24,29,40,12,64,30,3,6,12,24,6,6,
18,6,6,6,12,12,24,12,12,12,80,64,2,1,2,3,6,3,12,6,6,6,12,6,12,6,6,6,12,12,12,
12,12,12,16,3,6,3,6,3,3,3,6,6,6,6,6,6,8,4,8,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,31,
24,16,7,33,12,19,24,24,12,32,32,16,1,6,6,21,18,33,6,12,12,12,12,24,12,36,24,
24,24,4,16,16,16,7,6,6,7,21,12,3,6,3,6,12,3,3,12,12,12,12,12,12,12,12,12,8,8,
4,16,7,3,3,3,3,3,3,6,12,12,12,12,12,12,12,1,4,4,4,1,3,3,6,6,1,4,2,2,3,1,1,1,
1],[1,31,48,16,1,15,24,19,24,32,96,72,32,32,16,1,6,36,8,48,3,6,3,12,12,12,24,
4,4,12,12,12,12,36,12,24,48,36,12,12,12,8,4,16,16,16,6,1,6,8,3,3,6,3,6,9,3,12,
6,12,6,12,24,12,3,12,4,4,12,12,12,12,24,6,6,6,12,6,6,12,12,12,12,12,12,12,12,
12,12,8,8,4,8,4,4,16,6,4,6,3,6,6,3,3,3,3,3,12,3,6,3,3,6,6,6,6,6,6,6,6,6,6,6,
12,12,12,12,4,4,4,8,4,4,4,4,4,4,1,3,6,6,3,3,3,3,3,6,6,1,4,4,4,3,1,1,1,1],[1,7,
7,21,7,64,1,21,21,7,7,21,7,8,1,1],[1,21,50,10,1,15,10,70,75,6,10,30,20,20,30,
30,15,5,10,15,15,15,15,15,12,6,10,10,20,20,30,30,10,10,10,15,5,15,15,15,15,15,
6,6,6,10,10,5,10,10,10,10,10,15,6,6,6,5,5,5,10,6,5,1,1,1,1,1],[1,21,50,10,1,
15,10,70,75,6,10,30,20,20,30,30,15,5,10,15,15,15,15,15,12,6,10,10,20,20,30,30,
10,10,10,15,5,15,15,15,15,15,6,6,6,10,10,5,10,10,10,10,10,15,6,6,6,5,5,5,10,6,
5,1,1,1,1,1],[1,25,125,1,10,20,10,20,25,50,100,25,2,4,10,20,10,20,1,1,1],[1,
25,25,1,10,20,10,20,25,10,25,2,4,10,20,10,1,1,1],[1,25,50,125,1,10,20,10,10,
50,20,25,50,50,25,2,4,2,10,10,20,10,1,1,2,1],[1,47,40,7,57,36,59,72,32,88,68,
5,38,34,8,48,33,50,41,18,20,20,24,4,4,28,20,40,12,12,24,20,116,72,120,56,8,8,
40,2,6,11,14,10,8,7,2,21,14,28,5,42,6,17,14,18,44,12,44,24,24,24,5,17,12,4,4,
28,68,12,12,20,20,24,18,10,28,28,20,4,4,20,20,20,8,8,8,8,8,8,24,8,8,8,8,24,24,
24,7,6,6,10,4,6,6,6,6,10,10,10,12,2,5,14,5,5,6,6,20,5,17,12,5,6,10,6,6,12,10,
4,6,2,2,6,6,6,4,28,20,12,12,12,4,4,4,4,20,20,20,20,4,4,4,4,12,12,8,8,20,20,8,
24,8,1,1,1,1,3,2,2,6,6,2,1,1,3,3,2,5,1,1,5,2,2,2,2,6,6,6,4,4,6,2,2,2,6,6,2,2,
6,6,2,2,2,2,2,10,10,6,6,10,6,6,6,6,6,4,4,1,2,3,3,1,5,1,3,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,6,1,1,1,1,1,1,1,1],[1,51,40,90,36,33,56,144,24,24,9,36,18,36,72,36,
16,2,24,16,8,24,24,1,9,18,18,9,18,18,16,12,24,48,6,24,9,9,9,16,8,2,2,6,6,9,8,
6,6,1,1,1],[1,51,48,40,6,36,36,33,56,168,144,8,24,144,48,24,24,72,120,9,18,18,
18,36,36,60,72,36,36,108,72,16,2,24,16,8,24,48,48,24,24,24,24,24,1,15,6,18,9,
18,9,18,9,18,36,54,72,72,9,9,18,18,18,16,32,2,6,12,24,48,6,12,8,24,24,24,24,
24,24,6,18,9,9,18,9,18,18,18,16,8,2,2,6,6,6,6,12,12,6,6,24,9,8,8,8,2,6,6,6,6,
6,6,6,1,8,6,1,2,1],[1,75,40,54,36,69,128,176,120,6,42,27,54,18,18,162,72,16,2,
24,16,8,120,24,1,54,27,18,54,18,9,18,16,32,12,48,48,6,24,24,9,6,9,9,18,16,8,2,
2,6,24,6,9,8,2,6,6,6,1,6,1,2,1],[1,5,90,10,80,75,6,25,10,50,50,25,1,36,135,30,
15,5,50,10,5,15,15,30,25,6,10,10,10,5,6,6,6,1,5,10,6,5,5,1,1],[1,11,10,20,20,
5,16,5,10,10,10,10,20,10,40,60,16,5,20,5,5,10,20,20,10,20,20,16,1,5,5,10,10,
10,10,16,5,5,5,5,1,1,1],[1,11,10,20,20,5,16,5,10,10,10,10,20,10,40,60,16,5,20,
5,5,10,20,20,10,20,20,16,1,5,5,10,10,10,10,16,5,5,5,5,1,1,1],[1,31,40,11,45,
20,35,40,40,20,16,5,10,10,45,30,45,10,20,20,20,20,40,20,60,40,40,40,32,16,15,
10,10,5,15,20,5,30,15,10,20,5,15,20,60,20,20,20,20,20,20,20,40,40,40,40,16,16,
16,5,6,10,5,5,5,5,15,5,10,10,10,20,20,20,20,20,20,20,20,40,16,1,5,5,10,10,10,
10,10,10,5,1,1,1,1,1],[1,55,55,55,66,110,55,66,12,55,55,12,11,11,1],[1,45,36,
40,45,30,90,36,120,45,45,45,10,36,36,36,30,45,10,36,30,10,12,10,1,1],[1,45,36,
40,45,30,90,36,120,45,45,45,10,36,36,36,30,45,10,36,30,10,12,10,1,1],[1,45,30,
40,45,45,30,90,45,36,40,120,120,30,45,90,45,45,10,36,30,120,45,10,40,36,30,30,
30,10,20,30,12,10,12,1,1],[1,75,40,90,45,120,36,160,120,30,45,180,10,36,30,
120,45,10,40,36,60,30,10,20,30,12,10,12,1,1],[1,45,40,135,30,36,120,45,45,45,
10,36,30,45,10,36,30,10,20,12,10,1,1],[1,45,40,135,30,36,120,45,45,45,10,36,
30,45,10,36,30,10,20,12,10,1,1],[1,45,40,45,90,30,36,120,45,45,45,10,36,30,45,
10,36,30,10,10,10,12,10,1,1],[1,45,40,135,30,36,120,45,45,45,10,36,30,45,10,
36,30,10,20,12,10,1,1],[1,45,40,135,30,36,120,45,45,45,10,36,30,45,10,36,30,
10,20,12,10,1,1],[1,45,46,40,45,45,30,90,45,36,120,120,40,30,45,45,90,45,10,
36,36,36,30,120,45,10,10,10,36,30,30,30,10,10,10,30,12,10,12,1,1],[1,45,58,31,
15,45,50,90,135,6,11,105,110,70,45,60,45,60,45,45,10,6,18,18,5,10,5,45,50,150,
45,15,45,15,15,6,45,10,10,10,20,20,6,18,18,5,15,30,15,5,45,15,15,15,15,15,6,6,
6,10,10,10,20,5,20,18,15,15,1,6,6,6,5,5,10,5,1,3,3,6,5,1,3,1,1,1,1],[1,31,72,
64,3,21,36,35,40,96,120,84,128,64,1,30,42,24,48,9,18,21,18,36,36,72,12,12,12,
36,24,36,36,24,36,36,72,72,24,24,24,24,80,64,64,2,6,3,6,18,24,1,2,3,6,12,9,6,
6,3,6,18,36,36,36,24,72,24,9,3,36,12,12,12,12,36,36,36,36,72,6,6,12,12,12,12,
12,12,12,12,24,24,24,24,24,24,24,24,24,24,24,24,24,24,32,16,1,18,12,18,6,6,2,
6,6,6,12,2,3,6,3,3,6,6,12,9,3,36,3,6,6,6,12,6,6,6,6,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,24,24,12,24,24,24,8,4,8,16,3,1,3,3,6,3,3,3,6,6,
12,12,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,4,8,8,8,8,8,1,3,3,6,6,6,6,6,6,1,
4,8,3,1,2,1],[1,31,24,64,7,33,12,35,40,72,60,64,1,30,30,48,21,18,33,6,12,12,
12,12,24,24,12,36,24,72,24,24,80,64,64,2,6,7,6,6,7,2,21,6,12,3,6,6,3,6,6,36,
36,24,24,3,3,12,12,12,12,6,6,12,12,12,12,12,12,16,7,6,6,2,6,6,6,12,2,3,6,3,3,
6,6,12,3,3,3,6,6,6,12,12,12,12,12,12,12,12,12,8,4,8,16,1,1,3,3,3,6,6,6,6,6,6,
6,6,4,8,8,1,3,3,1,4,1,1,1],[1,31,24,64,7,33,12,35,40,32,24,12,64,5,10,6,8,33,
30,33,6,12,12,24,4,4,20,12,24,12,12,12,60,24,24,24,16,32,32,64,11,10,6,8,7,21,
12,3,30,15,6,12,12,24,3,15,12,4,4,20,60,12,12,12,12,24,12,12,12,12,12,24,24,
24,24,16,32,32,16,16,32,7,6,6,10,4,6,3,3,3,3,15,12,3,6,6,6,6,6,12,12,12,12,12,
12,12,12,12,12,12,24,4,16,32,32,16,16,32,1,1,1,2,3,3,3,3,6,6,6,6,6,6,6,6,6,6,
6,4,4,4,3,3,3,6,4,4,4,8,1,1],[1,79,24,64,3,93,60,107,136,72,60,128,64,13,54,
30,48,45,114,45,30,12,12,60,12,24,24,12,276,120,168,120,24,80,64,64,2,6,15,30,
6,1,2,3,30,36,3,114,6,45,30,30,60,36,24,24,3,45,60,180,12,12,42,18,36,36,36,
12,12,12,24,24,24,24,96,64,16,1,18,30,6,6,14,18,18,18,12,2,3,30,3,3,6,6,36,3,
45,3,6,18,18,18,36,6,6,6,36,36,12,12,12,12,12,12,12,12,24,8,4,8,16,3,1,3,6,6,
18,18,3,3,3,3,6,6,6,6,6,6,6,6,6,18,6,6,18,6,6,6,8,8,4,8,8,8,1,6,3,3,6,6,6,6,6,
1,4,8,3,1,2,1],[1,63,56,16,7,81,60,83,104,184,156,16,48,32,32,48,5,66,78,128,
33,78,57,30,36,36,44,36,64,72,36,180,120,240,120,24,4,8,16,16,32,32,48,48,16,
16,16,4,16,11,22,18,3,6,9,30,48,9,54,18,21,30,30,108,96,72,72,9,21,44,84,36,
36,36,24,48,48,48,12,12,12,24,24,24,24,4,12,8,16,16,12,8,8,16,16,8,16,16,16,
16,16,3,6,10,16,18,12,24,24,24,36,6,9,30,9,9,18,18,48,9,21,9,18,24,12,12,24,6,
6,6,48,48,36,12,12,12,12,12,12,36,24,4,4,4,12,12,8,8,8,8,4,8,4,8,8,8,16,1,3,9,
4,4,12,12,3,3,3,9,6,6,6,6,18,6,6,6,18,12,6,6,24,18,6,6,1,4,4,4,4,4,8,4,4,8,3,
4,3,3,6,6,6,6,6,1,1,1,1,1,1,1,4,3,1,1,1,1,1,1,1,1],[1,75,40,30,60,85,80,96,80,
120,10,30,15,30,30,10,90,120,96,10,40,40,40,40,1,30,15,30,30,15,30,20,30,40,
40,40,5,15,15,10,10,10,16,5,6,5,10,6,5,1],[1,75,160,30,60,85,120,96,160,90,15,
30,60,60,120,96,280,240,6,5,10,15,30,15,30,60,40,80,30,15,30,30,20,40,16,16,
32,5,6,10,6,5,1],[1,25,125,1,10,20,125,10,20,25,50,100,25,2,4,25,10,20,10,20,
1,1,1,1],[1,25,125,1,10,20,125,10,20,25,50,100,25,2,4,25,10,20,10,20,1,1,1,
1],[1,25,50,25,125,125,1,10,20,125,10,10,50,20,25,50,10,50,100,50,25,25,25,2,
4,50,25,2,10,10,20,10,20,10,10,1,10,1,2,1,1,1,1],[1,75,48,40,6,144,36,69,128,
168,144,8,24,176,48,120,6,42,72,120,27,108,18,18,36,36,18,60,72,36,162,252,72,
36,16,2,24,16,8,24,48,48,24,24,120,24,24,1,15,6,18,9,18,9,54,18,27,18,72,54,
72,72,54,45,9,18,54,18,18,36,36,16,32,32,2,6,12,48,48,6,12,24,8,24,24,24,24,
24,24,9,6,18,6,27,9,18,9,36,18,9,18,18,18,18,18,16,16,16,8,2,2,6,6,6,6,12,12,
24,6,6,24,9,9,9,9,9,9,9,16,8,8,8,2,6,2,6,6,6,6,6,6,6,9,1,8,6,6,1,2,2,1,1,1,
1],[1,5,90,10,5,75,80,75,6,25,10,50,50,25,75,75,1,36,135,30,15,5,50,50,50,10,
25,1,15,5,15,15,30,30,30,25,50,6,10,10,10,5,15,15,30,25,6,6,6,1,5,10,10,10,5,
6,6,6,5,5,10,6,5,5,1,1,1],[1,31,40,11,45,20,35,40,40,20,16,5,10,10,45,30,45,
10,20,20,20,20,40,20,60,40,40,40,40,120,32,16,15,10,10,5,15,20,5,30,15,10,20,
5,15,20,60,20,20,20,20,20,20,60,60,60,40,40,40,40,40,40,16,16,16,5,6,10,5,5,5,
5,15,5,30,20,10,10,10,10,20,20,20,20,20,20,20,20,20,40,40,16,16,16,1,5,10,10,
5,5,5,10,10,10,10,10,10,10,10,10,16,5,5,5,10,10,1,5,1,1,1,1,1,1,1],[1,7,84,
112,42,7,56,84,42,224,112,64,1,21,14,21,42,7,7,21,21,84,84,42,42,56,28,112,7,
21,21,42,21,21,21,21,42,42,42,42,64,56,28,56,28,28,7,7,21,21,21,21,21,7,28,28,
28,8,21,7,7,7,7,8,7,7,1],[1,91,112,126,84,133,168,224,112,64,8,112,21,84,42,
14,294,168,28,112,56,112,7,84,21,42,42,84,21,42,64,56,168,56,28,56,56,7,28,21,
21,42,7,28,56,8,21,7,7,7,7,8,8,8,7,7,1],[1,7,112,7,21,7,112,64,1,21,21,28,112,
7,7,21,64,28,7,7,28,8,1,7,8,7,1,1],[1,45,66,40,45,135,30,90,135,36,40,120,120,
30,135,45,90,135,45,45,45,45,10,36,36,36,30,120,45,45,45,45,45,45,45,10,40,36,
36,36,30,30,30,45,10,20,20,36,30,12,10,10,10,12,10,1,1,1,1,1],[1,45,66,40,45,
135,30,90,135,36,40,120,120,30,135,45,90,135,45,45,45,45,10,36,36,36,30,120,
45,45,45,45,45,45,45,10,40,36,36,36,30,30,30,45,10,20,20,36,30,12,10,10,10,12,
10,1,1,1,1,1],[1,75,36,40,180,45,120,90,36,160,120,30,45,90,45,45,90,180,90,
10,36,36,36,30,120,45,45,45,90,90,10,40,72,36,60,30,45,10,20,20,36,30,12,10,
10,10,12,10,1,1,1,1,1],[1,75,36,40,180,45,120,90,36,160,120,30,45,90,45,45,90,
180,90,10,36,36,36,30,120,45,45,45,90,90,10,40,72,36,60,30,45,10,20,20,36,30,
12,10,10,10,12,10,1,1,1,1,1],[1,75,76,40,45,45,90,45,120,300,270,36,40,120,
160,160,120,30,135,240,45,45,90,90,180,180,180,180,10,36,36,36,30,120,160,240,
120,120,30,45,45,45,90,180,180,10,10,10,40,40,36,36,36,30,30,60,30,60,120,45,
10,10,10,20,20,40,40,36,30,30,30,60,60,12,10,10,10,20,20,30,12,12,12,10,12,1,
1,1,1,1],[1,45,118,40,45,45,30,216,90,225,36,120,120,40,90,30,45,45,45,45,90,
90,45,45,45,10,36,108,108,30,120,45,45,45,45,45,45,45,10,10,10,36,108,108,30,
30,30,45,10,10,10,36,30,12,10,10,10,12,10,1,1,1,1,1],[1,45,46,40,45,225,30,90,
45,36,120,120,40,30,45,90,45,45,90,45,90,45,45,45,10,36,36,36,30,120,45,45,45,
45,45,45,45,10,10,10,72,36,30,30,30,45,10,10,10,20,20,36,30,12,10,10,20,10,20,
12,10,1,1,1,1,1],[1,79,72,64,7,105,84,107,136,32,216,180,128,128,64,5,94,90,8,
144,33,90,57,42,36,36,24,4,4,44,36,72,12,12,72,36,228,168,312,168,24,24,72,16,
32,32,64,64,64,6,18,11,22,18,8,7,6,21,42,60,9,66,18,21,42,42,132,12,108,72,24,
72,9,21,12,4,4,44,84,12,12,36,36,24,54,30,60,60,60,12,12,36,36,36,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,32,32,64,64,16,32,32,16,16,32,64,7,6,6,10,4,6,
18,18,18,30,30,30,36,6,9,42,9,9,18,18,60,9,21,12,9,18,30,18,18,36,18,12,6,6,6,
6,6,6,12,60,60,36,12,12,12,12,12,12,36,36,36,36,12,12,12,12,12,12,24,24,36,36,
24,24,24,4,16,16,32,32,16,32,32,16,16,16,16,16,16,32,1,1,1,3,9,6,6,18,18,2,3,
3,3,3,6,9,3,3,9,6,6,6,6,18,6,6,12,12,18,6,6,6,6,6,6,6,18,18,6,6,6,6,6,18,18,6,
6,30,18,18,6,6,6,12,12,4,4,4,16,32,8,8,16,16,3,6,3,3,3,9,3,9,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,4,4,4,4,4,4,4,4,4,8,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,79,72,64,7,
105,84,107,136,96,120,84,128,128,64,13,54,42,24,48,57,114,57,42,36,36,72,12,
12,60,36,72,36,36,24,36,276,168,216,120,24,24,72,80,64,64,64,64,2,6,19,30,18,
24,7,2,21,30,60,9,114,6,45,30,42,60,36,60,24,72,24,9,45,36,12,12,60,180,36,36,
36,36,72,42,18,60,60,36,12,12,36,36,36,24,24,24,24,24,24,72,24,24,24,24,72,72,
72,32,96,64,16,64,7,18,18,30,12,18,6,6,14,18,18,18,12,2,9,30,9,9,6,6,36,9,45,
36,9,6,18,18,18,36,18,12,18,6,6,18,18,18,12,60,36,12,36,36,12,12,12,12,36,36,
36,36,12,12,12,12,36,36,24,24,36,36,24,72,24,8,4,8,16,16,16,1,3,3,1,3,6,6,18,
18,6,3,3,9,9,6,9,3,3,9,6,6,6,6,6,18,18,12,12,6,6,6,6,18,18,6,6,6,18,6,6,6,6,6,
18,18,18,18,18,6,6,18,18,18,12,12,8,8,4,16,8,8,8,8,8,8,1,6,9,9,3,9,3,3,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,18,1,4,4,4,8,8,3,1,3,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,75,
80,40,10,60,180,85,80,280,240,96,40,120,80,80,120,10,30,120,200,15,60,30,90,
60,60,10,100,120,60,90,240,180,120,60,96,10,40,40,40,80,80,120,120,40,40,40,1,
25,10,30,15,30,15,30,30,15,30,60,60,90,120,120,30,15,45,30,30,90,30,60,60,96,
10,30,20,80,30,20,40,40,40,40,40,40,40,40,40,5,10,30,15,30,15,30,15,30,30,15,
30,30,30,30,30,10,10,10,30,30,20,20,40,10,10,40,40,16,5,15,15,15,15,15,15,6,5,
10,10,10,10,10,10,10,16,15,6,5,5,5,10,6,5,1,1],[1,115,160,90,180,145,240,96,
320,160,10,120,45,90,90,30,60,270,360,60,96,280,240,160,6,5,10,90,45,90,15,90,
30,60,120,30,60,60,96,160,240,40,15,10,60,15,30,15,45,30,15,30,30,30,20,40,40,
16,16,32,5,15,15,15,15,15,15,6,10,30,20,10,16,16,15,6,5,10,6,5,1,1],[1,25,50,
25,125,125,1,10,20,125,125,125,10,10,50,20,25,50,125,10,50,100,50,25,25,25,2,
4,25,25,50,25,2,10,10,20,25,10,20,10,10,1,10,1,2,1,1,1,1,1,1,1],[1,105,175,
315,140,126,630,105,120,315,70,126,140,70,35,105,105,70,126,120,210,210,105,
70,35,63,35,21,30,7,1],[1,105,175,315,140,126,630,105,120,315,70,126,35,175,
35,105,105,70,126,120,105,315,105,70,35,63,35,21,15,15,7,1],[1,105,175,315,
140,126,630,105,120,315,70,126,35,175,35,105,105,70,126,120,105,315,105,70,35,
63,35,21,15,15,7,1],[1,75,148,40,45,45,270,45,120,216,300,450,36,40,120,160,
160,120,30,135,90,240,45,45,270,90,270,45,45,90,180,135,135,180,90,180,180,
180,90,90,10,36,108,108,30,120,160,240,120,120,30,45,90,45,45,45,90,180,90,
180,45,45,45,45,45,90,90,45,45,90,90,90,90,90,90,90,90,90,90,10,10,10,40,40,
36,108,36,108,108,30,30,60,30,60,120,45,45,45,45,45,45,45,90,90,90,90,10,10,
10,20,20,20,20,40,40,36,108,108,30,30,30,60,60,12,45,10,10,10,10,20,10,20,10,
10,20,20,36,30,12,12,12,10,10,10,10,10,10,10,12,10,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1],[1,31,120,160,31,105,60,35,40,160,120,60,96,160,160,160,5,10,30,40,105,
30,105,30,60,60,120,20,20,20,60,120,60,60,60,60,120,120,120,192,96,40,160,80,
160,160,160,35,10,30,40,35,105,60,15,30,15,30,60,60,120,15,15,60,20,20,20,60,
60,60,60,60,120,60,60,60,60,60,120,120,120,120,96,96,96,40,40,40,80,160,80,80,
80,160,35,6,30,10,20,30,15,15,15,15,15,60,15,30,30,30,30,30,60,60,60,60,60,60,
60,60,60,60,60,120,96,20,40,40,80,160,40,80,80,80,80,80,32,5,1,5,10,15,15,15,
15,30,30,30,30,30,30,30,30,30,30,30,10,20,20,40,80,16,16,32,15,15,15,30,6,10,
20,10,10,20,40,16,16,32,5,6,6,6,10,6,5,1],[1,105,126,175,105,315,140,420,315,
126,175,105,630,630,105,120,210,315,420,315,315,70,126,126,126,140,70,35,105,
630,210,105,105,105,105,105,120,315,70,280,126,126,126,120,140,210,210,210,35,
105,105,105,105,105,105,70,140,35,126,120,210,105,63,70,35,35,35,63,21,21,35,
30,21,7,7,1,1],[1,195,400,450,180,345,320,576,1440,240,30,240,45,270,90,30,
180,990,360,180,160,576,20,840,640,80,240,240,16,15,30,270,45,90,45,90,270,90,
180,90,180,180,160,120,960,480,60,120,120,240,15,90,90,45,90,45,45,90,45,90,
90,160,80,80,20,60,120,60,120,60,120,96,96,288,15,15,45,45,45,45,45,80,36,15,
60,60,60,60,45,10,36,15,15,15,15,10,32,15,15,10,6,6,1],[1,111,200,160,31,225,
180,155,200,160,760,660,96,160,480,320,320,480,5,150,330,40,560,105,210,225,
90,180,180,120,20,20,140,180,280,60,60,360,180,420,360,840,360,120,120,360,
192,96,40,160,80,160,160,320,320,480,480,160,160,160,10,70,35,70,90,40,35,30,
105,90,180,45,90,90,45,90,90,420,60,420,360,120,360,45,45,60,20,20,140,180,60,
60,180,180,120,90,90,180,180,180,60,60,180,180,180,120,120,120,120,120,120,
120,120,120,120,120,120,120,120,96,96,96,40,120,80,160,160,120,80,80,160,160,
160,80,80,80,160,160,160,160,160,35,6,30,10,20,30,70,90,30,90,90,90,180,30,45,
90,45,45,90,90,180,45,45,60,45,90,90,30,30,60,90,60,30,30,30,30,30,30,60,180,
180,180,60,60,60,60,60,60,180,180,180,180,60,60,60,60,60,60,120,120,180,180,
120,120,120,96,96,96,40,40,20,40,120,120,80,80,80,80,40,80,160,40,80,80,80,80,
80,80,80,80,80,160,32,5,1,5,15,45,10,10,30,30,10,15,15,15,15,30,45,15,15,45,
30,30,30,30,90,30,30,60,60,90,30,30,30,30,30,30,30,90,30,30,30,30,30,30,90,90,
30,30,90,90,90,30,30,30,60,60,96,10,20,40,40,20,40,40,40,80,40,40,40,40,80,80,
80,16,16,32,15,10,15,15,15,45,15,45,30,30,30,30,30,30,30,30,30,30,30,30,30,30,
30,30,6,10,10,10,20,10,10,10,10,20,20,20,20,20,40,40,16,16,16,16,16,16,32,5,
15,15,15,15,15,15,6,6,6,10,10,10,10,10,10,10,20,20,16,16,15,6,6,6,5,10,6,5,1,
1],[1,165,220,495,330,396,880,660,165,495,495,55,396,144,330,660,495,55,220,
396,330,165,55,110,110,165,144,66,132,55,55,55,66,55,11,12,11,1],[1,165,220,
495,330,396,880,660,165,495,495,55,396,144,330,660,495,55,220,396,330,165,55,
110,110,165,144,132,66,55,55,55,66,55,11,12,11,1],[1,175,168,448,7,441,420,
315,392,224,504,420,896,896,448,512,29,238,210,56,336,105,378,105,210,84,84,
168,28,28,140,84,168,84,84,168,84,1092,840,1176,840,168,168,168,112,224,672,
448,448,448,448,14,42,35,70,42,56,7,14,21,210,252,21,378,42,105,210,210,420,
84,252,168,168,168,21,105,84,28,28,140,420,84,84,84,84,168,294,126,252,252,
252,84,84,84,84,84,168,168,168,168,168,168,168,168,168,168,168,168,168,168,
512,224,224,448,896,448,112,224,224,112,112,224,448,7,42,42,70,28,42,42,42,98,
126,126,126,84,14,21,210,21,21,42,42,252,21,105,84,21,42,126,126,126,252,42,
84,42,42,42,42,42,42,84,252,252,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,
84,84,168,168,84,84,168,168,168,56,28,56,112,112,224,224,112,224,224,112,112,
112,112,112,112,224,64,1,7,7,7,21,42,42,126,126,14,21,21,21,21,42,21,21,21,21,
42,42,42,42,42,42,42,84,84,42,42,42,42,42,42,42,42,42,126,42,42,42,42,42,42,
42,42,42,126,42,42,42,42,42,84,84,28,28,56,56,28,112,224,56,56,56,56,56,56,
112,112,7,42,21,21,21,21,21,21,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,
42,64,64,64,7,28,28,28,28,28,28,28,28,28,56,56,56,7,7,21,21,21,21,21,7,28,14,
14,28,28,8,21,7,7,7,7,8,8,8,7,7,1],[1,255,120,400,15,585,540,435,680,600,540,
576,80,240,1760,480,1200,45,330,270,480,225,630,225,270,180,180,300,180,240,
360,180,1620,1080,1440,1080,360,160,576,20,840,640,80,240,480,480,240,240,
1200,240,240,16,60,75,150,90,15,30,45,270,360,45,630,90,225,270,270,540,360,
360,360,45,225,300,900,180,180,360,180,360,360,360,180,180,180,360,360,360,
360,160,320,320,576,20,60,120,240,1200,960,60,120,360,80,240,120,240,240,240,
240,240,15,90,150,60,90,120,180,180,180,180,30,45,270,45,45,90,90,360,45,225,
45,90,180,180,180,360,90,90,90,360,360,180,180,180,180,180,180,180,180,360,
160,160,160,80,80,20,60,60,120,60,60,60,120,120,360,120,60,120,60,120,120,120,
240,96,96,288,15,15,45,60,60,180,180,45,45,45,45,90,90,90,90,90,90,90,90,90,
180,90,90,180,90,90,90,160,80,80,80,36,15,20,60,80,120,60,60,60,60,120,120,60,
60,120,120,120,96,96,96,15,60,45,45,90,90,90,90,90,10,80,36,15,15,15,15,15,15,
15,15,60,60,120,45,10,20,20,36,32,15,15,15,15,15,15,15,30,15,10,10,10,15,15,6,
6,10,6,6,1,1],[1,315,1120,630,1260,525,840,2016,3360,960,630,315,630,1260,
1260,2520,280,2016,3360,3360,42,105,210,315,630,315,630,1260,280,960,1680,
3360,630,315,630,280,280,280,420,420,840,672,672,1008,105,280,252,420,252,120,
120,120,105,56,56,56,42,1],[1,315,616,630,1260,525,1120,336,2800,2520,960,30,
630,315,630,630,210,1890,2520,280,336,490,840,560,280,2520,840,336,35,630,315,
630,630,630,315,630,280,1120,1008,960,1260,1680,1680,630,840,840,840,336,105,
210,315,315,630,280,560,280,70,70,630,840,210,240,224,336,315,280,280,105,70,
210,210,210,336,35,120,240,240,56,105,210,35,70,28,56,35,28,30,8,1],[1,315,
448,616,210,1260,1260,525,1120,2520,2520,336,616,2520,2800,2800,2520,960,30,
630,1260,2520,315,1260,630,630,1260,1260,210,2100,2520,1260,1890,3780,2520,
1260,280,336,1008,1008,490,840,560,280,2520,2800,5040,2520,840,2520,840,840,
960,336,35,315,210,630,315,630,315,630,630,315,630,1260,1890,2520,2520,630,
945,315,630,630,630,630,1260,1260,280,280,280,1120,1120,336,1008,1008,960,490,
630,1260,1680,1680,630,1260,840,280,2520,840,840,840,840,840,840,336,336,336,
105,210,630,210,315,315,630,315,630,630,315,630,630,630,630,630,280,280,280,
560,560,1120,280,1120,1008,960,70,70,630,630,210,630,1260,1260,840,210,210,
840,840,240,224,336,336,336,105,315,315,315,315,315,315,280,280,280,560,280,
280,560,280,105,70,630,70,210,210,210,210,210,210,210,224,336,336,336,315,35,
280,280,120,240,240,56,105,105,105,210,210,336,35,70,70,120,28,56,56,56,105,
35,35,35,28,28,28,56,35,30,28,8,8,1,1],[1,315,280,1120,630,2520,525,840,1260,
2016,3360,3360,1120,960,630,315,630,1260,2520,630,630,1890,630,630,630,1260,
1260,2520,1260,1260,1260,280,2016,3360,3360,3360,960,42,105,210,315,630,315,
1260,630,630,630,1260,630,1260,630,630,630,1260,1260,1260,1260,1260,1260,280,
280,280,2016,960,1680,1680,3360,315,630,315,630,315,315,315,630,630,630,630,
630,630,280,280,280,560,560,960,420,420,840,672,672,1008,105,315,315,315,315,
315,315,280,280,560,280,560,252,420,420,420,420,336,315,280,252,120,120,120,
105,120,120,120,56,56,56,105,56,56,56,42,1,1],[1,525,1750,7875,1750,126,1260,
2520,10500,5250,6000,2625,7875,7875,1750,1260,2520,3150,1750,3500,1750,5250,
5250,7875,1750,6300,12600,3150,6000,5250,10500,2625,5250,252,504,1750,3500,
1750,3150,2625,1260,2520,1050,2100,1750,1750,1260,2520,1050,2100,525,126,750,
1500,525,126,175,350,126,175,350,126,50,100,1],[1,525,1750,7875,1750,126,1260,
2520,10500,5250,6000,2625,7875,7875,1750,1260,2520,3150,1750,3500,1750,5250,
5250,7875,1750,6300,12600,3150,6000,5250,10500,2625,5250,252,504,1750,3500,
1750,3150,2625,1260,2520,1050,2100,1750,1750,1260,2520,1050,2100,525,126,750,
1500,525,126,175,350,126,175,350,126,50,100,1],[1,525,1050,1750,525,7875,1750,
5250,7875,126,1260,2520,1750,5250,10500,10500,5250,6000,5250,7875,2625,5250,
7875,7875,7875,7875,7875,1750,1260,1260,6300,2520,3150,6300,1750,3500,1750,
5250,10500,10500,5250,5250,5250,5250,5250,6000,7875,2625,7875,7875,7875,7875,
7875,1750,7000,1260,6300,12600,6300,3150,3150,3150,6000,1750,5250,10500,5250,
1750,5250,2625,5250,5250,5250,5250,5250,252,504,7875,1750,3500,3500,1750,3150,
3150,6300,3150,6000,5250,2625,2625,2625,5250,252,1260,1260,2520,1050,2100,
1750,1750,1750,1750,1750,1750,3150,2625,1260,2520,1260,1260,1050,1050,2100,
525,1050,126,1750,1750,750,1500,1260,525,525,525,1050,126,252,750,175,350,525,
126,126,126,175,175,175,350,126,126,126,175,126,50,100,50,1,1],[1,525,1050,
1750,525,7875,1750,5250,7875,126,1260,2520,1750,5250,10500,10500,5250,6000,
5250,7875,2625,5250,7875,7875,7875,7875,7875,1750,1260,1260,6300,2520,3150,
6300,1750,3500,1750,5250,10500,10500,5250,5250,5250,5250,5250,6000,7875,2625,
7875,7875,7875,7875,7875,1750,7000,1260,6300,12600,6300,3150,3150,3150,6000,
1750,5250,10500,5250,1750,5250,2625,5250,5250,5250,5250,5250,252,504,7875,
1750,3500,3500,1750,3150,3150,6300,3150,6000,5250,2625,2625,2625,5250,252,
1260,1260,2520,1050,2100,1750,1750,1750,1750,1750,1750,3150,2625,1260,2520,
1260,1260,1050,1050,2100,525,1050,126,1750,1750,750,1500,1260,525,525,525,
1050,126,252,750,175,350,525,126,126,126,175,175,175,350,126,126,126,175,126,
50,100,50,1,1],[1,1155,6160,6930,13860,3465,6160,22176,36960,18480,21120,330,
4620,3465,6930,6930,2310,13860,20790,27720,13860,6160,22176,8064,1540,27720,
30800,6160,18480,18480,308,1155,2310,6930,3465,6930,3465,6930,6930,6930,13860,
6930,13860,13860,6160,22176,21120,9240,36960,55440,4620,9240,9240,18480,1155,
2310,6930,3465,6930,3465,3465,6930,3465,6930,6930,6160,6160,6160,6160,3850,
1540,4620,9240,4620,9240,4620,9240,8064,2640,11088,11088,14784,1155,1155,3465,
3465,3465,3465,3465,6160,6160,4158,1155,2310,6930,4620,4620,2310,3696,3696,
3465,770,4158,2640,2640,2640,2640,2640,1155,1155,1155,1155,2310,770,1386,1232,
1232,1848,1155,1155,770,672,616,462,693,330,231,176,176,77,22,1],[1,5775,
15400,61600,5775,86625,346500,28875,77000,184800,231000,346500,22176,36960,
443520,61600,924000,616000,616000,924000,1056000,4125,57750,173250,231000,
462000,86625,173250,86625,173250,346500,346500,693000,115500,115500,115500,
346500,231000,346500,346500,693000,346500,346500,693000,693000,693000,693000,
693000,693000,154000,36960,221760,554400,443520,554400,554400,806400,77000,
184800,462000,616000,308000,924000,616000,1848000,924000,924000,924000,924000,
924000,1056000,369600,3850,57750,28875,57750,173250,231000,28875,57750,86625,
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346500,346500,346500,693000,693000,693000,693000,693000,693000,693000,693000,
693000,693000,693000,693000,693000,693000,154000,154000,154000,616000,616000,
36960,554400,2217600,184800,554400,554400,554400,554400,554400,1056000,77000,
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462000,462000,462000,924000,924000,924000,924000,924000,44352,88704,369600,
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346500,346500,346500,346500,346500,693000,693000,346500,346500,693000,693000,
693000,154000,154000,154000,308000,308000,308000,308000,616000,308000,616000,
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231000,231000,231000,231000,462000,462000,462000,462000,231000,462000,924000,
231000,462000,462000,462000,462000,462000,462000,462000,462000,462000,924000,
44352,221760,221760,443520,806400,264000,36960,61600,369600,369600,369600,
184800,369600,369600,369600,4125,5775,28875,28875,86625,57750,57750,173250,
173250,57750,86625,86625,86625,86625,173250,86625,86625,86625,86625,173250,
173250,173250,173250,173250,173250,173250,346500,346500,173250,173250,173250,
173250,173250,173250,173250,173250,173250,173250,173250,173250,173250,173250,
173250,173250,173250,173250,173250,173250,173250,173250,173250,173250,173250,
346500,346500,154000,154000,154000,154000,308000,154000,308000,154000,154000,
308000,308000,308000,308000,308000,138600,184800,554400,57750,115500,77000,
231000,77000,231000,115500,231000,231000,231000,462000,231000,231000,231000,
231000,231000,231000,231000,231000,462000,462000,462000,221760,443520,221760,
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308000,34650,138600,132000,132000,132000,264000,264000,61600,28875,57750,
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184800,184800,22176,44352,28875,28875,86625,86625,86625,86625,86625,38500,
77000,77000,154000,36960,34650,34650,34650,138600,132000,132000,132000,15400,
61600,61600,61600,61600,61600,61600,28875,57750,57750,57750,57750,57750,57750,
57750,57750,57750,115500,115500,33000,92400,92400,22176,22176,22176,86625,
38500,38500,38500,36960,34650,34650,34650,67200,15400,15400,15400,15400,15400,
15400,61600,61600,61600,15400,61600,28875,28875,28875,28875,57750,23100,23100,
22176,22176,22176,38500,36960,34650,33000,33000,33000,15400,15400,15400,15400,
15400,15400,15400,28875,28875,23100,23100,22176,8800,17600,17600,15400,5775,
8800,3850,5775,5600,5600,4125,3850,1100,1100,1100,1100,176,176,176,176,100,
1]],
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8,8,8,8,8,8,8,8,8,8,8,9,10,10,10,10,10,10,11,12,12,12,12,12,12,12,12,12,12,12,
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,
16,16,16,16,16,16,16,16,16,16,16,18,18,18,18,18,20,20,20,20,20,20,20,20,20,21,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,25,25,30,30,30,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,36,36,36,36,36,36,36,36,36,36,40,40,40,40,
40,40,42,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,
48,48,48,50,50,50,50,55,56,60,60,60,60,60,60,60,60,60,64,64,64,64,64,64,64,64,
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,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,72,72,72,72,72,
72,72,72,72,72,72,72,72,72,80,80,80,96,96,96,96,96,96,96,96,96,96,96,96,96,96,
96,96,96,96,96,96,96,96,100,100,100,100,120,120,120,120,120,120,120,120,120,
120,120,125,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,144,144,144,144,144,144,144,144,144,160,160,
168,168,168,168,168,180,192,192,192,192,192,192,192,192,192,192,192,192,192,
192,192,192,192,192,200,240,240,240,240,240,240,240,240,240,250,250,256,256,
256,256,256,256,256,288,288,288,288,300,320,320,320,320,336,336,336,360,360,
360,360,360,360,360,384,384,384,384,384,384,384,384,384,384,384,384,448,480,
480,500,500,500,512,576,576,576,600,640,640,640,660,720,720,720,720,720,720,
720,720,720,720,720,768,768,768,768,768,960,960,1000,1000,1000,1152,1200,1280,
1344,1344,1344,1440,1440,1440,1440,1440,1440,1440,1536,1536,1920,1920,2000,
2520,2520,2520,2880,3840,5040,5760,7680,7920,7920,10752,11520,20160,20160,
40320,40320,126000,126000,252000,252000,443520,44352000],
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279,253,578,544,480,450,370,520,481,520,480,417,417,297,513,513,510,408,460,
417,417,348,408,407,297,318,348,348,348,345,486,551,464,365,390,366,365,284,
522,473,377,360,437,279,362,158,279,279,279,279,279,253,403,579,544,563,544,
480,450,564,540,520,480,405,520,481,480,520,480,480,405,417,405,348,297,348,
520,520,417,513,513,510,407,417,417,408,408,297,481,481,405,405,405,417,417,
408,428,407,348,348,348,348,348,348,345,348,348,348,348,345,345,345,486,486,
486,362,362,551,365,139,473,365,365,366,366,366,253,522,460,370,265,264,152,
460,370,377,268,437,279,387,386,388,279,279,279,279,279,549,517,403,403,403,
564,552,480,544,513,479,544,480,543,481,481,481,405,540,520,480,520,520,480,
480,405,520,520,417,520,480,481,481,481,406,476,417,478,480,480,480,479,481,
417,405,405,405,407,408,417,417,417,417,408,407,408,407,417,417,417,417,408,
407,348,348,405,412,348,345,348,486,486,486,434,434,435,435,362,437,362,473,
366,366,365,365,366,253,523,522,460,512,463,460,460,460,370,370,377,377,460,
377,268,460,388,387,386,386,387,386,387,388,388,279,549,464,464,390,284,444,
551,539,396,395,397,473,403,403,403,578,575,563,564,520,544,544,481,481,542,
520,520,520,520,480,520,520,520,520,481,481,481,481,481,479,481,417,417,478,
481,480,480,480,478,480,480,480,481,480,480,480,480,480,476,476,481,479,481,
480,479,476,478,480,417,417,486,486,486,486,434,486,434,486,486,435,437,437,
435,437,491,473,366,544,513,522,460,523,461,512,460,460,460,377,457,463,463,
458,460,460,463,461,386,387,388,464,390,464,464,539,472,395,396,397,515,516,
471,472,473,403,567,564,544,520,520,520,520,520,520,481,481,480,480,480,480,
481,481,479,479,480,480,481,478,478,476,550,486,486,486,486,486,486,486,437,
552,491,492,493,494,443,444,539,564,544,544,544,513,544,544,544,544,513,513,
512,512,512,460,461,462,463,464,516,515,516,515,516,515,471,472,473,567,549,
563,564,520,520,520,520,520,550,522,523,486,551,552,552,552,491,492,493,494,
571,536,537,535,539,539,539,564,544,544,544,544,544,544,543,544,540,512,513,
555,515,516,567,567,567,520,550,550,550,551,552,552,552,528,571,571,571,571,
571,571,535,536,537,571,539,564,564,563,564,544,565,566,567,567,567,550,551,
552,553,554,555,571,571,571,571,571,571,571,563,564,565,566,567,573,569,570,
571,575,573,579,575,576,577,578,579,583,582,582,583,587,586,586,587,588,589],
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2,2,2,2,2,2,2,2,1,1,1,1,14,13,14,15,1,1,1,9,10,8,9,1,1,4,4,4,4,4,4,1,21,1,1,1,
1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,1,2,2,1,7,7,7,7,6,7,7,7,7,6,6,6,1,50,50,4,4,14,14,15,1,14,14,13,13,1,21,
58,58,58,60,60,61,9,9,8,10,4,4,35,34,36,20,20,4,20,2,1,1,4,14,72,1,2,2,2,2,2,
2,2,8,8,8,8,8,8,8,8,8,8,8,8,8,2,2,2,8,2,2,8,8,8,2,2,8,8,8,8,8,8,8,8,8,8,6,6,7,
7,7,7,6,6,6,6,7,7,7,7,6,6,7,7,2,2,7,6,7,50,50,50,50,50,50,50,50,9,4,14,13,13,
14,14,13,21,73,9,9,79,80,58,58,58,58,58,60,60,9,8,10,58,161,159,160,160,159,
34,35,36,161,20,167,14,13,15,57,22,286,287,288,289,290,10,14,72,72,1,2,2,8,8,
23,23,23,23,5,27,27,8,8,8,8,27,27,8,23,23,23,23,8,27,27,30,30,27,27,30,30,27,
27,30,30,8,8,30,30,27,30,30,6,6,27,27,8,8,27,6,27,27,7,7,50,50,134,134,134,50,
50,134,134,134,245,62,50,58,73,14,55,175,176,58,58,254,254,79,153,153,153,155,
257,258,258,257,58,23,80,73,160,159,161,167,168,14,167,287,287,289,288,290,
398,399,286,287,140,72,13,8,23,27,27,27,27,27,27,87,87,96,96,30,30,87,87,84,
84,96,96,23,97,97,75,73,238,238,238,238,134,134,50,245,173,364,440,441,442,
443,285,287,298,175,175,175,176,367,367,367,367,368,368,257,257,79,153,254,
304,258,167,399,398,399,398,399,398,286,287,140,404,167,75,79,97,84,96,87,81,
429,255,254,238,286,438,438,173,364,440,441,442,495,496,497,498,445,287,445,
298,367,367,367,367,367,175,446,367,446,373,368,295,398,399,404,404,404,313,
429,429,429,487,438,438,438,528,495,495,495,495,495,495,498,496,497,495,445,
446,298,476,446,367,545,546,404,404,404,483,487,438,553,554,514,495,495,495,
495,495,495,495,542,502,545,546,474,568,569,570,495,572,568,574,572,576,577,
578,574,580,581,581,580,584,585,585,584,588,589],
[( 2, 17)( 3, 15)( 4, 8)( 5, 12)( 7, 16)( 9, 22)( 10, 19)( 14, 23)
( 24, 69)( 26, 99)( 27, 79)( 28, 91)( 29, 81)( 30, 41)( 31, 57)( 32, 78)
( 33, 87)( 34, 60)( 35, 88)( 37, 61)( 38, 84)( 39, 72)( 40, 50)( 42, 46)
( 43, 98)( 45, 73)( 47, 94)( 48, 55)( 49, 85)( 51,100)( 53, 66)( 54, 82)
( 56, 95)( 58, 62)( 63, 75)( 64, 92)( 68, 93)( 71, 77)( 76, 97)( 80, 90),
( 1, 92, 23, 8, 61)( 2, 29, 91, 77, 40)( 3, 50, 85, 67, 59)
( 4, 20, 48, 70, 39)( 5, 12, 34, 75, 58)( 6, 21, 83, 53, 42)
( 7, 30, 51, 37, 56)( 9, 98, 41, 55, 17)( 10, 47, 38, 78, 27)
( 11, 19, 26, 94, 93)( 13, 49, 32, 57, 43)( 14, 99, 68, 73, 90)
( 15, 25, 96, 24,100)( 16, 35, 60, 65, 28)( 18, 62, 97, 81, 95)
( 22, 82, 80, 69, 89)( 31, 76, 74, 87, 46)( 33, 52, 71, 72, 84)
( 36, 88, 54, 66, 64)( 44, 79, 63, 45, 86)],
[[[[]]],[[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[4,-3]]],[[[1,1,2,1],[2,1,3,2,1,
1,2,-1],[1,1,4,-5,1,1]]],[[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[4,4]]],[[[1,
1,2,1],[2,1,3,2,1,1,2,-1],[1,1,4,1],[5,1,1,1,4,1,1,1,4,1,5,2]]],[[[1,1,2,1],[
1,1,2,-2,1,1,2,-1,3,-2],[4,1,2,-1,1,1,2,1],[5,2,4,-2]]],[[[1,1,2,1],[2,1,3,2,
1,1,2,-1],[4,1,1,1],[1,1,4,1,1,1,5,1,4,1,5,-1]]],[[[1,1,2,1],[1,1,2,-2,1,1,2,
-1,3,-2],[4,2],[5,1,2,-1,1,1,2,1,5,-1]],[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[
4,1,2,-1,1,1,2,1],[5,1,4,1,5,-2]]],[[[2,1,1,1,2,-1,1,1,2,1],[3,-4]],[[2,1,1,1,
2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[5,1,3,-4,5,1]]],[[[2,1,1,1,2,
-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[6,1,3,1,5,1,6,1,5,1,3,
1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[5,1,3,-1,
5,1,6,1,5,1,3,-1,6,-1,5,1]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-1],[4,1,1,1],[5,1,4,
3,5,1,1,1,4,1,5,-1]],[[1,1,2,1],[2,1,3,2,1,1,2,-1],[1,1,4,1],[4,1,1,1],[1,1,4,
-1,5,1,4,1,6,-1,5,-1,6,1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1]],[[2,1,1,1,2,
-1,1,1,2,1],[1,1,2,1],[4,1,2,1,1,1,2,-1,4,-1],[3,2],[3,1,5,1],[7,1,6,-2,5,1,6,
1,5,1,7,2]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-1],[1,1,4,1],[4,2,5,3,1,1,4,-1]]],[[[
1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[1,1,4,1],[1,1,4,-2,5,-2]]],[[[1,1,2,1],[
2,1,3,2,1,1,2,-1],[1,1,4,1],[5,1,1,1,4,-1,1,1,4,-1,5,1]]],[[[1,1,2,1],[2,1,1,
1,3,-1,2,-1,3,2,2,1],[1,1,4,-1],[5,1,1,1,4,-4,1,1,5,-1]],[[1,1,2,1],[2,1,1,1,
3,-1,2,-1,3,2,2,1],[4,1,1,1],[1,1,4,2,5,-2],[6,2,1,1,4,-1]]],[[[1,1,2,1],[2,1,
3,2,1,1,2,-1],[4,-5]],[[1,1,2,1],[2,1,3,2,1,1,2,-1],[1,1,4,1],[4,1,1,1],[4,1,
5,1],[6,1,7,-1,5,-1,7,1,5,1,6,-1]]],[[[2,1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,
-1,4,1],[3,1,5,1,3,-1,5,1]],[[2,1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[
3,2],[6,2,5,1,6,-2]]],[[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,
1],[5,1,3,2]]],[[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[2,-1,1,1,2,1],[5,1,4,-1,
5,1,4,-1]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-1],[1,1,4,1],[4,-1,5,2,1,1,4,-1]]],[[[
1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[2,-1,1,1,2,1],[5,1,4,-3,5,1]],[[1,1,2,1],[
1,1,2,-2,1,1,2,-1,3,-2],[2,-1,1,1,2,1],[4,1,5,1],[5,1,6,1,4,2],[6,1,7,-1,6,1,
7,-1]],[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[2,-1,1,1,2,1],[4,1,5,1],[4,2,6,-1,
5,1],[7,1,6,1,7,1,6,1]]],[[[2,1,1,1,2,-1,1,1,2,1],[3,-4]],[[2,1,1,1,2,-1,1,1,
2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[5,1,3,-4,5,1]],[[2,1,1,1,2,-1,1,1,2,
1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[3,1,5,1],[7,1,6,-1,5,1,6,1,7,
-1]]],[[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[1,1,4,1],[4,1,1,1],[1,1,4,-2,5,
1,6,-1,5,1,6,1]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[1,1,4,1],[4,1,1,1],[
4,1,6,-1,5,1,6,2,5,-2]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[1,1,4,1],[4,1,
1,1],[6,1,4,-2,5,-2,6,1,4,-1,6,-1]]],[[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,
2,1,4,-1,2,-1,4,1],[3,2],[3,1,5,1,6,1,5,1,6,1,3,1]],[[2,1,1,1,2,-1,1,1,2,1],[
2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[3,1,5,1],[5,1,7,1,6,-1,5,1,6,1,7,
1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[3,1,5,
1],[5,1,3,-1,5,1,6,1,7,2,3,-1,6,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1]],[[
2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[6,-2,5,1,6,
-2]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[6,1,5,1,
6,-1,5,1,6,1]]],[[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[4,1,1,1],[4,1,5,3,4,
-2,1,1]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[1,1,4,1],[4,1,1,1],[6,1,5,-1,
4,-1,5,2,6,-1]]],[[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[1,1,4,1],[4,1,5,1],[
6,1,4,1,1,1,6,1,5,1]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[1,1,4,1],[4,1,1,
1],[5,2,6,1,4,1,6,2]]],[[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[4,1,1,1],[1,1,
4,-1,1,1,4,2,5,2]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[1,1,4,1],[5,1,4,3,
1,1,4,-1,5,1]]],[[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[1,1,4,-2,1,1,4,-1,1,
1,4,3]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[1,1,4,1],[4,1,1,1],[4,1,5,1,6,
1,4,1,6,1,5,-1]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-1],[4,1,1,1],[5,1,4,3,5,1,1,1,4,
1,5,-1]],[[1,1,2,1],[2,1,3,2,1,1,2,-1],[1,1,4,1],[4,1,1,1],[4,-1,5,-1,6,1,4,2,
5,1]]],[[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[6,-2,
5,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[6,1,5,
1,6,1,5,1,6,-1]]],[[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[
3,2],[3,1,5,1,6,1,5,1,6,1,3,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,
-1,2,-1,4,1],[3,2],[5,1,3,-1,5,1,3,1,5,1,6,1,5,1,6,-1]]],[[[1,1,2,1],[2,1,3,2,
1,1,2,-1],[4,1,1,1],[5,1,4,3,5,-1,1,1,4,1]],[[1,1,2,1],[2,1,3,2,1,1,2,-1],[1,
1,4,1],[4,1,1,1],[4,1,6,-1,5,-1,6,1,4,-2,5,-1,6,-1]]],[[[2,1,1,1,2,1],[2,1,1,
1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[5,1,6,1,5,1,3,-1,5,1,3,1,6,1]],[[2,1,1,1,2,
1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[3,1,5,1],[6,1,7,-1,5,1,6,1,7,
1]]],[[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[1,1,4,1],[4,1,5,1],[6,1,5,2,6,
1]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[1,1,4,1],[4,1,1,1],[5,2,6,-2,5,-1,
4,-1]]],[[[2,1,1,1,2,-1,1,1,2,1],[1,1,2,1],[4,1,2,1,1,1,2,-1,4,-1],[3,1,5,1],[
6,1,3,1,6,-2,5,1]],[[2,1,1,1,2,-1,1,1,2,1],[1,1,2,1],[4,1,2,1,1,1,2,-1,4,-1],[
5,1,3,-1,5,1,3,1,5,1,3,2]]],[[[2,1,1,1,2,-1,1,1,2,1],[3,-4]],[[2,1,1,1,2,-1,1,
1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,1,5,1],[5,1,3,-1,5,1,6,1,3,-2,6,
-1,5,1]]],[[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[3,
1,5,1,6,1,5,1,6,1,3,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,
4,1],[3,2],[3,1,5,1],[5,1,7,1,6,1,5,1,6,1,7,1]]],[[[1,1,2,1],[2,1,3,2,1,1,2,
-1],[1,1,4,1],[4,1,1,1],[4,1,5,2,6,1,5,1,4,2,6,-1,1,1,4,-1]],[[1,1,2,1],[2,1,
3,2,1,1,2,-1],[1,1,4,1],[4,1,1,1],[1,1,4,-1],[7,2,5,1,6,2,4,1,5,2]]],[[[1,1,2,
1],[2,1,3,2,1,1,2,-1],[4,1,1,1],[5,1,4,3,5,1,1,1,4,1,5,-1]],[[1,1,2,1],[2,1,3,
2,1,1,2,-1],[1,1,4,1],[4,1,1,1],[4,-1,6,-1,5,1,4,2,6,1]]],[[[2,1,1,1,2,-1,1,1,
2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[6,1,5,1],[6,1,7,2]],[[2,1,1,1,2,
-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[5,1,3,1,5,1],[7,1,6,-2,7,
1]]],[[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[4,-3]],[[1,1,2,1],[1,1,2,-2,1,1,2,
-1,3,-2],[2,-1,1,1,2,1],[4,2],[4,1,5,1],[7,1,6,1,5,1,6,-1,7,-1]]],[[[2,1,1,1,
2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,1,5,1,3,3]],[[2,1,1,1,2,-1,
1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[5,1,3,-1,5,1,6,-2,5,1,3,1,5,
1]]],[[[2,-1,1,1,2,1]],[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[2,-1,1,1,2,1],[4,
2],[4,1,5,1],[7,1,6,-1,5,1,6,1,7,2]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-1],[4,1,1,
1],[1,1,4,-1,5,-1,1,1,4,1,1,1,5,1]],[[1,1,2,1],[2,1,3,2,1,1,2,-1],[4,1,1,1],[
4,2,1,1,4,1,5,-2,4,-1]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-1],[1,1,4,1],[4,1,5,1,4,
1,1,1,5,-2]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-1],[1,1,4,-2],[5,1,1,1,4,-1,5,1,1,1,
4,1]]],[[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[4,1,1,1,4,-1,1,1,4,-3]]],[[[1,
1,2,1],[2,1,3,2,1,1,2,-1],[1,1,4,1],[5,1,1,1,4,1,1,1,4,-1,5,-1]],[[1,1,2,1],[
2,1,3,2,1,1,2,-1],[1,1,4,1],[4,1,1,1],[6,1,5,-1,4,-1,5,1,4,1,6,-1]]],[[[1,1,2,
1],[2,1,3,2,1,1,2,-1],[1,1,4,1],[5,1,1,1,4,1,1,1,5,-2]],[[1,1,2,1],[2,1,3,2,1,
1,2,-1],[1,1,4,1],[4,1,1,1],[1,1,4,-2,6,-1,5,2,6,1]]],[[[1,1,2,1],[2,1,3,2,1,
1,2,-1],[1,1,4,1],[4,1,1,1],[1,1,4,-1,5,1,6,1,5,1,4,1,6,2]],[[1,1,2,1],[2,1,3,
2,1,1,2,-1],[4,1,1,1],[1,1,4,-1],[4,2,1,1,4,1],[7,1,5,1,6,-2,5,1,7,-1]]],[[[1,
1,2,1],[2,1,3,2,1,1,2,-1],[1,1,4,-5,1,1]],[[1,1,2,1],[2,1,3,2,1,1,2,-1],[4,1,
1,1],[5,1,4,3,5,1,1,1,4,1,5,-1]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-1],[4,-1,1,1,4,
1]],[[1,1,2,1],[2,1,3,2,1,1,2,-1],[4,1,1,1],[1,1,4,1,5,-1,4,-1,5,1]]],[[[1,1,
2,1],[2,1,3,2,1,1,2,-1],[1,1,4,1],[5,1,4,1],[5,1,6,1,5,1,6,1]]],[[[1,1,2,1],[
2,1,3,2,1,1,2,-1],[1,1,4,1],[1,1,4,-1,5,2,4,1,5,1]]],[[[1,1,2,1],[2,1,1,1],[2,
1,4,-2,3,-2],[2,-1,1,1,2,1],[5,2],[6,1,7,-1,6,1,5,-1,7,-1]]],[[[1,1,2,1],[2,1,
3,2,1,1,2,-1],[1,1,4,1],[5,1,1,1,4,-2,5,1,4,1,5,1]],[[1,1,2,1],[2,1,3,2,1,1,2,
-1],[1,1,4,1],[4,1,1,1,5,-1,4,-1,1,1,4,-2,5,1]]],[[[2,1,1,1,2,-1,1,1,2,1],[2,
1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[3,1,5,1,6,1,5,1,6,1,3,1]],[[2,1,1,1,2,
-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[5,1,3,1,5,1],[7,1,6,1,7,
1,6,1]]],[[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[4,2]],[[1,1,2,1],[1,1,2,-2,1,1,
2,-1,3,-2],[2,-1,1,1,2,1],[4,2],[4,1,5,1],[7,1,6,1,5,1,6,-1,7,-1]]],[[[1,1,2,
1],[3,1,2,1,1,1,2,-1,3,-1]],[[2,1,1,1,2,-1,1,1,2,1],[1,1,2,1],[4,1,2,1,1,1,2,
-1,4,-1],[3,1,5,1],[3,3,6,-1,5,1,6,2]]],[[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,
1],[1,1,4,-2,1,1,4,2,1,1]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[4,1,1,1,4,
2,1,1,4,-2,1,1,4,1]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-1],[4,1,1,1],[4,2,1,1,4,1,5,
-2,4,-1]],[[1,1,2,1],[2,1,3,2,1,1,2,-1],[1,1,4,1],[4,1,1,1],[4,1,6,-1,5,-1,4,
2,5,1,6,1]]],[[[2,1,1,1,2,1],[3,2],[3,1,4,2]],[[2,1,1,1,2,1],[2,1,1,1],[1,1,2,
1,4,-1,2,-1,4,1],[3,2],[5,1,3,-1,5,1,6,2,5,1,6,1]]],[[[1,1,2,1],[2,1,3,2,1,1,
2,-1],[4,-5]],[[1,1,2,1],[2,1,3,2,1,1,2,-1],[1,1,4,1],[4,1,1,1],[6,1,5,-1,4,
-1,5,2,6,-1]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-1],[1,1,4,1],[4,1,1,1],[1,1,4,-1,5,
1,6,1,5,1,4,1,6,2]],[[1,1,2,1],[2,1,3,2,1,1,2,-1],[1,1,4,1],[4,1,1,1],[6,1,4,
1,5,2,1,1,4,-1,5,2,6,-1]]],[[[2,1,1,1,2,1],[3,2],[3,1,4,2]],[[2,1,1,1,2,1],[2,
1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[5,1,6,2,3,1,5,1]]],[[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1]],[[2,1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[6,2,5,
1,6,-2]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-1],[1,1,4,-1],[5,1,1,1,4,-1,5,1,1,1,4,
1]],[[1,1,2,1],[2,1,3,2,1,1,2,-1],[1,1,4,1],[4,1,1,1,5,-2,4,1,5,2]]],[[[1,1,2,
1],[2,1,3,2,1,1,2,-1],[1,1,4,3,1,1,4,2]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-1],[4,
-5]],[[1,1,2,1],[2,1,3,2,1,1,2,-1],[1,1,4,-2,1,1,4,3,1,1,4,-1]]],[[[1,1,2,1],[
2,1,1,1,3,-1,2,-1,3,2,2,1],[1,1,4,1],[4,1,5,2,4,2,1,1,5,1]]],[[[1,1,2,1],[2,1,
1,1,3,-1,2,-1,3,2,2,1],[1,1,4,1],[4,2,1,1,4,-1,5,2,4,1]],[[1,1,2,1],[2,1,1,1,
3,-1,2,-1,3,2,2,1],[1,1,4,1],[4,1,5,1,4,1,1,1,4,2,5,1]],[[1,1,2,1],[2,1,1,1,3,
-1,2,-1,3,2,2,1],[1,1,4,1],[4,1,1,1],[5,1,4,1,6,-1,5,2,6,1]],[[1,1,2,1],[2,1,
1,1,3,-1,2,-1,3,2,2,1],[1,1,4,1],[4,1,1,1],[5,2,6,1,4,1,6,2]]],[[[1,1,2,1],[2,
1,1,1,3,-1,2,-1,3,2,2,1],[4,1,1,1],[4,3,5,1,4,-1,1,1,5,1]],[[1,1,2,1],[2,1,1,
1,3,-1,2,-1,3,2,2,1],[1,1,4,1],[4,1,1,1],[1,1,4,-2,5,1,6,-1,5,1,6,1]],[[1,1,2,
1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[1,1,4,1],[4,1,1,1],[4,1,6,-1,5,1,6,2,5,-2]],[[
1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[1,1,4,1],[4,1,1,1],[6,1,4,-2,5,-2,6,1,4,
-1,6,-1]]],[[[2,1,1,1,2,-1,1,1,2,1],[3,-4]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,
1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[5,1,6,-2],[3,1,5,1,7,-1,3,-1,5,1,7,-1]],[[2,
1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[5,1,3,1],[7,1,5,
1,3,-1,5,1,6,-2,7,1,5,1,7,-1]]],[[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[1,1,
4,1],[5,2,4,2,1,1,5,-1]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[1,1,4,-3,1,1,
4,3,1,1]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[1,1,4,1],[4,1,1,1],[1,1,4,
-2,6,-1,5,2,6,1]]],[[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,
1],[3,2],[6,1,5,1,6,-1,5,1,6,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,
-1,2,-1,4,1],[3,2],[5,1,6,1],[6,1,7,2]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,
1,2,1,4,-1,2,-1,4,1],[3,2],[3,1,5,1],[5,1,7,1,6,1,5,1,6,-1,7,-1]]],[[[2,1,1,1,
2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[3,1,5,1,6,1,5,1,6,1,3,
1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[3,1,5,
1],[5,1,7,1,6,-1,5,1,6,1,7,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,
-1,2,-1,4,1],[3,2],[5,1,3,-1,5,1,3,1,5,1,6,1,5,1,6,-1]]],[[[2,1,1,1,2,-1,1,1,
2,1],[1,1,2,1],[4,1,2,1,1,1,2,-1,4,-1],[3,1,5,1],[6,1,3,-2,6,-1,5,1]],[[2,1,1,
1,2,-1,1,1,2,1],[1,1,2,1],[4,1,2,1,1,1,2,-1,4,-1],[5,1,3,2,5,1,3,-1,5,1,3,
1]]],[[[2,1,1,1,2,-1,1,1,2,1],[1,1,2,1],[4,1,2,1,1,1,2,-1,4,-1],[3,1,5,1],[6,
1,3,-1,5,1,3,-3,6,-1]],[[2,1,1,1,2,-1,1,1,2,1],[1,1,2,1],[4,1,2,1,1,1,2,-1,4,
-1],[3,2],[3,1,5,1],[5,1,6,1,7,-1,6,1,7,-1,5,1]]],[[[1,1,2,1],[1,1,2,-2,1,1,2,
-1,3,-2],[2,-1,1,1,2,1],[4,1,5,1],[5,1,6,2,4,1]],[[1,1,2,1],[1,1,2,-2,1,1,2,
-1,3,-2],[4,2],[4,1,2,-1,1,1,2,1],[5,1,6,-3,5,-1]]],[[[1,1,2,1],[1,1,2,-2,1,1,
2,-1,3,-2],[4,1,2,-1,1,1,2,1],[5,2,4,-2]],[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,
-2],[2,-1,1,1,2,1],[4,1,5,1],[6,1,4,-1,5,1,4,2,6,1]]],[[[1,1,2,1],[1,1,2,-2,1,
1,2,-1,3,-2],[2,-1,1,1,2,1],[4,1,5,1],[5,1,4,-1,6,-2]],[[1,1,2,1],[1,1,2,-2,1,
1,2,-1,3,-2],[2,-1,1,1,2,1],[4,1,5,1],[4,-3,6,-1,5,1,4,1,6,-1]]],[[[2,1,1,1,2,
-1,1,1,2,1],[3,-4]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,
1],[3,2],[6,1,5,1,3,2,5,1,6,-1,5,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,
1,4,-1,2,-1,4,1],[3,2],[3,1,5,1,6,-1,5,1,6,1,5,1,3,1]]],[[[1,1,2,1],[1,1,2,-2,
1,1,2,-1,3,-2],[4,2],[5,1,2,-1,1,1,2,1,5,-1]],[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,
-2],[2,-1,1,1,2,1],[5,1,4,-3,5,1]],[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[4,1,2,
-1,1,1,2,1],[5,1,4,1,5,-2]]],[[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[1,1,4,
1],[5,1,4,2,1,1,4,-2,5,-1]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[1,1,4,1],[
4,1,5,2,1,1,4,-1,5,2]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[1,1,4,1],[4,1,
1,1],[6,1,5,-2,4,1,6,-1,5,1,6,1]]],[[[2,1,1,1,2,-1,1,1,2,1],[3,-4]],[[2,1,1,1,
2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[5,1,3,-4,5,1]],[[2,1,1,1,2,
-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[5,1,3,1,5,1],[7,1,6,-2,7,
-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[
1,1,2,1,4,-1,2,-1,4,1],[3,2],[6,-2,5,1,6,-2]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,
1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[3,1,5,1],[7,1,6,1,5,1,6,-1,7,-1]]],[[[1,1,2,
1],[1,1,2,-2,1,1,2,-1,3,-2],[4,2],[5,1,2,-1,1,1,2,1,5,-1]],[[1,1,2,1],[1,1,2,
-2,1,1,2,-1,3,-2],[4,1,2,-1,1,1,2,1],[5,1,4,1,5,-2]],[[1,1,2,1],[1,1,2,-2,1,1,
2,-1,3,-2],[2,-1,1,1,2,1],[4,1,5,1],[6,1,4,-1,5,1,4,2,6,1]]],[[[1,1,2,1],[1,1,
2,-2,1,1,2,-1,3,-2],[4,1,2,-1,1,1,2,1,4,-1]],[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,
-2],[2,-1,1,1,2,1],[4,2],[4,1,5,1],[6,1,7,-1,5,1,7,1,6,-1]],[[1,1,2,1],[1,1,2,
-2,1,1,2,-1,3,-2],[2,-1,1,1,2,1],[4,2],[4,1,5,1],[6,1,7,3,6,-1,5,1]]],[[[2,1,
1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[3,1,5,1,6,-1,5,1,6,
1,3,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[5,1,
3,-1,5,1,3,1,5,1,6,1,5,1,6,-1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,
-1,2,-1,4,1],[3,2],[3,1,5,1],[5,1,7,1,6,1,5,1,6,1,7,1]]],[[[2,-1,1,1,2,1]],[[
1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,1,4,-2],[2,-1,1,1,2,1],[5,2],[5,1,6,1],[8,
1,7,-1,8,-1,6,1,5,-1,6,1,7,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,1,4,-2],[
2,-1,1,1,2,1],[5,2],[5,1,6,1],[7,1,6,1,5,1,8,3,7,1]]],[[[2,1,1,1,2,-1,1,1,2,
1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,1,5,1,3,-1]],[[2,1,1,1,2,-1,1,1,2,1],[
3,-4]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,1,5,1],[5,
1,3,-1,5,1,6,1,3,-2,6,-1,5,1]]],[[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,
-1,2,-1,4,1],[3,2],[6,1,3,1,5,1,6,1,5,1,3,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,
1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[5,1,3,-1,5,1,6,1,5,1,3,-1,6,-1,5,1]],[[2,1,
1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[5,1,3,-1,5,1,6,-2,
5,1,3,1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1]],[[2,1,1,1,2,-1,1,1,2,1],[
3,-4]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[6,1,5,
1,6,-1,5,1,6,1]]],[[[2,1,1,1,2,-1,1,1,2,1],[1,1,2,1],[4,1,2,1,1,1,2,-1,4,-1],[
5,1,3,-1,5,1,3,1,5,1,3,2,5,1]],[[2,1,1,1,2,-1,1,1,2,1],[1,1,2,1],[4,1,2,1,1,1,
2,-1,4,-1],[3,1,5,1],[5,1,6,-1,5,1,6,1,3,2]],[[2,1,1,1,2,-1,1,1,2,1],[1,1,2,
1],[4,1,2,1,1,1,2,-1,4,-1],[3,2],[5,1,3,-1,5,1],[7,1,6,1,7,1,6,1]]],[[[2,1,1,
1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,1,5,1],[6,1,3,2,5,1,6,1,
3,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[5,1,3,
1],[5,1,7,-1,6,-2,7,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,
4,1],[3,2],[3,1,5,1],[5,1,6,1,7,-1,5,1,7,1,6,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,
2,1,4,-1,3,1,4,-2],[2,-1,1,1,2,1],[5,1,6,1,5,2,6,1,5,1]],[[1,1,2,1],[2,1,1,
1],[3,1,2,1,4,-1,3,1,4,-2],[2,-1,1,1,2,1],[5,1,6,1],[5,3,7,-1,6,1,5,1,7,1]],[[
1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,1,4,-2],[2,-1,1,1,2,1],[5,2],[6,1,5,-1,6,1,
5,1,6,1,7,1,6,1,7,-1]]],[[[2,1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,
2],[6,1,5,1,6,-1,5,1,6,2,5,1,3,1]],[[2,1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,
-1,4,1],[3,2],[3,1,5,1],[7,1,6,1,7,-1,3,-1,5,1,7,1,6,1,5,1,6,-1]],[[2,1,1,1,2,
1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[3,1,5,1],[5,1,3,1],[8,1,6,1,7,-1,
8,2,6,1,7,2]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-1],[1,1,4,1],[4,1,1,1],[4,1,6,-1,5,
-1,6,1,4,1,5,2,6,-1]],[[1,1,2,1],[2,1,3,2,1,1,2,-1],[1,1,4,1],[1,1,4,-1],[6,1,
5,1,4,1,1,1,4,-1,6,1,5,2,4,1]],[[1,1,2,1],[2,1,3,2,1,1,2,-1],[1,1,4,1],[1,1,4,
-1],[4,2],[6,1,1,1,4,-1,5,-1,7,-1,6,1,5,1,7,1]]],[[[1,1,2,1],[1,1,2,-2,1,1,2,
-1,3,-2],[4,-3]],[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[2,-1,1,1,2,1],[4,2],[4,
1,5,1],[7,1,6,1,5,1,6,-1,7,-1]],[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[2,-1,1,1,
2,1],[4,1,5,1],[5,1,4,-1,5,1,6,2,4,2,5,1]]],[[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,
2,2,1],[1,1,4,1],[4,1,5,2,1,1,4,1,1,1]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,
1],[1,1,4,1],[4,1,5,1],[6,1,4,1,1,1,6,1,5,1]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,
2,2,1],[1,1,4,1],[4,1,5,1,4,1,1,1,4,2,5,1]]],[[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,
1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[3,1,5,1,6,1,5,1,6,1,3,1]],[[2,1,1,1,2,-1,1,
1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[5,1,3,1,5,1],[7,1,6,-2,7,
-1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[5,1,3,
-1,5,1,3,1,5,1,6,1,5,1,6,-1]]],[[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,
-1,2,-1,4,1],[3,1,5,1],[3,3],[6,1,7,1,6,1,7,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,
1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[5,1,3,-1,5,1,6,1,5,1,3,-1,6,-1,5,1]],[[2,
1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[3,1,5,1],[5,1,6,
-1,7,-1,5,1,7,1,6,1]]],[[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[2,-1,1,1,2,1],[4,
1,5,1],[5,1,6,2,4,1]],[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[2,-1,1,1,2,1],[4,1,
5,1,4,-3,5,1,4,-1]],[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[2,-1,1,1,2,1],[4,2],[
5,1,6,-1,5,1,4,-1,5,1,4,-1,5,1,6,1]]],[[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,
2,1,4,-1,2,-1,4,1],[3,1,5,1,3,3]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,
4,-1,2,-1,4,1],[3,2],[3,1,5,1,6,1,5,1,6,1,5,1,3,1]],[[2,1,1,1,2,-1,1,1,2,1],[
2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[5,1,3,-1,5,1,6,-2,5,1,3,1,5,1]]],[[[2,
1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[3,1,5,1,6,1,5,1,
6,1,3,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[5,
1,3,-1,5,1,3,1,5,1,6,1,5,1,6,-1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,
4,-1,2,-1,4,1],[3,2],[3,1,5,1],[5,1,7,1,6,1,5,1,6,1,7,1]]],[[[1,1,2,1],[2,1,1,
1,3,-1,2,-1,3,2,2,1],[1,1,4,1],[5,1,4,1],[5,1,6,1,5,1,6,1]],[[1,1,2,1],[2,1,1,
1,3,-1,2,-1,3,2,2,1],[1,1,4,1],[4,2,5,3,1,1,4,-1]]],[[[1,1,2,1],[2,1,1,1,3,-1,
2,-1,3,2,2,1],[1,1,4,1],[5,2,4,1,5,1]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,
1],[1,1,4,1],[4,1,5,2,1,1,4,1,1,1]]],[[[2,-1,1,1,2,1]],[[1,1,2,1],[2,1,1,1],[
3,1,2,1,4,-1,3,1,4,-2],[2,-1,1,1,2,1],[5,2],[7,2,6,1,7,1,6,1,7,1]]],[[[1,1,2,
1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[1,1,4,1],[4,1,1,1],[5,1,4,1,6,2,4,-1,5,-1]],[[
1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[1,1,4,1],[4,1,5,1],[5,1,6,1,4,1,1,1,5,
-1,6,-1]]],[[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,-2,5,
1,3,-2]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[5,1,
3,1,5,1],[7,1,6,-2,7,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,1,4,-2],[2,-1,
1,1,2,1],[5,1,6,1,5,2,6,1,5,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,1,4,-2],[
2,-1,1,1,2,1],[5,2],[5,1,6,1],[6,1,7,1,8,-1,6,1,8,1,7,1]]],[[[2,1,1,1,2,-1,1,
1,2,1],[1,1,2,1],[4,1,2,1,1,1,2,-1,4,-1],[3,1,5,1],[5,1,3,2,6,2,3,-1,5,1]],[[
2,1,1,1,2,-1,1,1,2,1],[1,1,2,1],[4,1,2,1,1,1,2,-1,4,-1],[3,2],[6,1,5,1,6,1,3,
1,5,1,6,1,5,1]]],[[[2,1,1,1,2,-1,1,1,2,1],[1,1,2,1],[4,1,2,1,1,1,2,-1,4,-1],[
3,1,5,1],[5,1,3,1,6,-2]],[[2,1,1,1,2,-1,1,1,2,1],[1,1,2,1],[4,1,2,1,1,1,2,-1,
4,-1],[5,1,3,2,5,1,3,-2,5,1]]],[[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[2,-1,1,1,
2,1],[4,1,5,1],[5,1,4,-1,6,-2]],[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[2,-1,1,1,
2,1],[4,2],[4,1,5,1],[6,1,5,1,6,1,7,-2,6,-1]]],[[[1,1,2,1],[2,1,1,1,3,-1,2,-1,
3,2,2,1],[4,4,1,1,4,-1,1,1]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[1,1,4,
1],[5,1,4,1,1,1,4,-2,5,-1]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-1],[1,1,4,1],[4,2],[
6,1,5,1,1,1,4,-1,5,1,6,1]],[[1,1,2,1],[2,1,3,2,1,1,2,-1],[1,1,4,1],[4,1,1,1],[
1,1,4,-2,5,1,6,2,4,1,5,2]]],[[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,
2,-1,4,1],[3,1,5,1],[6,1,3,-3,5,1,3,1,6,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,
1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[3,1,5,1],[5,1,6,1,7,1,6,1,5,1,7,1]]],[[[1,1,
2,1],[2,1,3,2,1,1,2,-1],[4,-5]],[[1,1,2,1],[2,1,3,2,1,1,2,-1],[1,1,4,1],[4,1,
1,1],[1,1,4,-2,5,1,6,2,4,1,5,2]]],[[[2,1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,
-1,4,1],[3,1,5,1],[3,2,5,1,3,1],[7,1,6,2,7,1]],[[2,1,1,1,2,1],[2,1,1,1],[1,1,
2,1,4,-1,2,-1,4,1],[3,2],[3,1,5,1],[5,1,3,-1,5,1,6,2,7,2]]],[[[1,1,2,1],[2,1,
3,2,1,1,2,-1],[4,-5]],[[1,1,2,1],[2,1,3,2,1,1,2,-1],[4,1,1,1,4,1,1,1,4,-1,1,1,
4,-1]]],[[[2,1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[3,1,5,1],[7,
1,6,2,3,1,7,-1]],[[2,1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[5,1,
3,1,6,1,5,1,3,-1,6,-1,5,1]]],[[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[4,1,1,1,
4,-1,1,1,4,3]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[1,1,4,1],[5,1,1,1,4,1,
1,1,4,1,5,1]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-1],[1,1,4,-2,1,1,4,2,1,1]],[[1,1,2,
1],[2,1,3,2,1,1,2,-1],[1,1,4,-2],[5,1,1,1,4,-1,5,1,1,1,4,1]]],[[[2,1,1,1,2,
1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[6,1,3,1,5,1,3,-1,6,-1]],[[2,1,1,1,
2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[6,1,3,1,6,1,5,1,3,-1,5,1]]],[[[
2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[5,1,3,-1,6,-1,
5,1,3,1,5,1,6,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[
3,2],[3,1,5,1,6,1,5,1,6,1,5,1,3,1]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-1],[4,1,1,
1],[1,1,4,-2,1,1,5,1,4,1,5,2]],[[1,1,2,1],[2,1,3,2,1,1,2,-1],[1,1,4,1],[4,1,1,
1],[4,1,5,2,6,-2,5,-2]]],[[[2,1,1,1,2,-1,1,1,2,1],[1,1,2,1],[4,1,2,1,1,1,2,-1,
4,-1],[3,1,5,1],[5,1,3,1,6,-2]],[[2,1,1,1,2,-1,1,1,2,1],[1,1,2,1],[4,1,2,1,1,
1,2,-1,4,-1],[5,1,3,-2,5,1,3,2,5,1]]],[[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,
1],[1,1,4,1],[4,1,5,1,1,1,4,-1,5,-2]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[
1,1,4,1],[4,1,1,1],[5,1,4,1,6,2,4,-1,5,-1]]],[[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,
-2],[2,-1,1,1,2,1],[5,1,4,-1,5,1,4,1,5,1,4,2]],[[1,1,2,1],[1,1,2,-2,1,1,2,-1,
3,-2],[2,-1,1,1,2,1],[4,1,5,1],[4,-3,6,-1,5,1,6,2]]],[[[1,1,2,1],[2,1,1,1,3,
-1,2,-1,3,2,2,1],[4,2],[5,1,4,1,1,1,5,-1,4,-1,1,1]],[[1,1,2,1],[2,1,1,1,3,-1,
2,-1,3,2,2,1],[1,1,4,1],[4,1,1,1,4,-1,5,1,4,1,5,1]]],[[[1,1,2,1],[2,1,1,1,3,
-1,2,-1,3,2,2,1],[4,4]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[4,1,1,1],[4,1,
5,1,4,-1,1,1],[6,1,5,1,6,1,5,1]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[1,1,
4,1],[4,1,1,1],[4,1,6,-1,5,1,6,2,5,-2]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-1],[4,1,
1,1],[5,1,1,1,4,1,5,-1,4,-1]],[[1,1,2,1],[2,1,3,2,1,1,2,-1],[1,1,4,-2,1,1,4,2,
1,1]],[[1,1,2,1],[2,1,3,2,1,1,2,-1],[1,1,4,-3,1,1,4,3,1,1]]],[[[1,1,2,1],[2,1,
1,1,3,-1,2,-1,3,2,2,1],[4,4]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[1,1,4,
1],[4,1,5,1,4,1,1,1,5,-1,4,2,1,1]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-1],[4,-5]],[[
1,1,2,1],[2,1,3,2,1,1,2,-1],[1,1,4,1],[4,1,1,1],[6,1,5,1,6,-1,4,-1,1,1,4,-2,5,
1,6,1]]],[[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[1,1,4,3,1,1]],[[1,1,2,1],[2,
1,1,1,3,-1,2,-1,3,2,2,1],[4,1,1,1,4,1,1,1,4,-1,1,1,4,-1]]],[[[1,1,2,1],[2,1,3,
2,1,1,2,-1],[1,1,4,1],[5,2,1,1,4,-1,5,-1,4,-2]],[[1,1,2,1],[2,1,3,2,1,1,2,
-1],[1,1,4,1],[4,1,1,1,5,-2,4,1,5,2]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-1],[4,1,1,
1,4,-3,1,1]],[[1,1,2,1],[2,1,3,2,1,1,2,-1],[4,1,1,1,4,1,1,1,4,-1,1,1,4,
-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,2,1,3,2],[1,1,2,1],[2,1,1,1],[
2,2,7,1,2,1,1,1,6,-2,2,-1,7,-1],[5,2],[8,1,5,1,9,2]],[[1,1,2,1],[2,1,1,1],[4,
1,2,-1,3,-2,4,1,2,1,3,2],[1,1,2,1],[2,1,1,1],[2,2,7,1,2,1,1,1,6,-2,2,-1,7,
-1],[5,2],[9,1,8,1,9,-1,8,1,9,1]]],[[[2,1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,
-1,4,1],[3,2],[6,1,5,1,6,-1]],[[2,1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,
1],[3,2],[5,1,6,2,3,1,5,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,2,1,3,
2],[1,1,2,1],[2,1,1,1],[2,2,7,1,2,1,1,1,6,-2,2,-1,7,-1],[5,2],[9,2,5,1,8,
-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,2,1,3,2],[1,1,2,1],[2,1,1,1],[2,
2,7,1,2,1,1,1,6,-2,2,-1,7,-1],[5,2],[9,1,8,1,9,-1,8,1,9,1]]],[[[1,1,2,1],[2,1,
3,2,1,1,2,-1],[4,-5]],[[1,1,2,1],[2,1,3,2,1,1,2,-1],[1,1,4,1],[4,1,1,1],[5,1,
4,1,5,1,6,-2,4,-1,5,-2]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-1],[1,1,4,1],[4,-1,5,2,
4,1,1,1]],[[1,1,2,1],[2,1,3,2,1,1,2,-1],[1,1,4,1],[5,1,4,1,1,1,4,-1,1,1,4,-2,
5,1]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-1],[4,1,1,1,4,-2,1,1,4,-2]]],[[[1,1,2,1],[
2,1,3,2,1,1,2,-1],[4,1,1,1],[4,1,5,-1,4,-1,1,1,4,1,5,2]],[[1,1,2,1],[2,1,3,2,
1,1,2,-1],[1,1,4,1],[1,1,4,-2,5,1,4,1,5,2]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-1],[
1,1,4,-5,1,1]],[[1,1,2,1],[2,1,3,2,1,1,2,-1],[1,1,4,1],[4,1,1,1],[4,1,6,2,4,1,
5,2,6,-1]]],[[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[1,1,4,1],[5,1,1,1,4,-3,5,
-2]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[1,1,4,1],[4,1,1,1],[4,1,6,-1,5,1,
6,2,5,-2]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-1],[1,1,4,1],[4,1,5,2,1,1,4,-2,5,
1]],[[1,1,2,1],[2,1,3,2,1,1,2,-1],[1,1,4,1],[5,2,4,1,1,1,4,-1,5,-2]]],[[[1,1,
2,1],[1,1,2,-2,1,1,2,-1,3,-2],[2,-1,1,1,2,1],[4,1,5,1],[5,1,6,3,4,1]],[[1,1,2,
1],[1,1,2,-2,1,1,2,-1,3,-2],[2,-1,1,1,2,1],[4,1,5,1],[5,1,6,1],[7,1,4,2,7,1,6,
1]]],[[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[4,-1,1,1,4,1]],[[1,1,2,1],[2,1,
1,1,3,-1,2,-1,3,2,2,1],[1,1,4,1],[4,1,1,1],[5,1,4,1,6,2,4,-1,5,-1]]],[[[1,1,2,
1],[2,1,3,2,1,1,2,-1],[4,1,1,1],[4,1,5,1,1,1,4,1,5,-1,4,-2]],[[1,1,2,1],[2,1,
3,2,1,1,2,-1],[1,1,4,1],[4,1,1,1,5,-1,4,-1,1,1,4,-2,5,1]]],[[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[
3,2],[3,1,5,1],[7,1,6,1,3,1,7,-1,6,-1]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-1],[4,1,
1,1],[4,2,5,-1,1,1,4,-2,1,1,4,1,5,1]],[[1,1,2,1],[2,1,3,2,1,1,2,-1],[1,1,4,
1],[4,1,1,1],[1,1,4,-2,6,-1,5,2,6,1]]],[[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,
1],[4,2],[4,1,1,1,5,1,1,1,4,1,5,1]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[1,
1,4,1],[1,1,4,-2,5,1,4,1,1,1,4,-1,5,1]]],[[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[
1,1,2,1,4,-1,2,-1,4,1],[3,2],[5,1,6,-2,5,1,6,-1]],[[2,1,1,1,2,-1,1,1,2,1],[2,
1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[5,1,3,-1,5,1],[7,1,6,1,7,1,6,1]]],[[[2,
1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[5,1,6,-2,5,1,6,
-1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[5,1,3,2,5,1,3,
-2,5,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[3,1,
5,1,6,-1,5,1,6,1,3,1]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-1],[4,-5]],[[1,1,2,1],[2,
1,3,2,1,1,2,-1],[1,1,4,1],[5,2,4,1,1,1,4,-1,5,-2]],[[1,1,2,1],[2,1,3,2,1,1,2,
-1],[1,1,4,1],[4,1,1,1],[6,1,5,-1,4,-1,5,2,6,-1]]],[[[2,1,1,1,2,1],[2,1,1,1],[
1,1,2,1,4,-1,2,-1,4,1],[3,2],[6,1,3,1,5,1,3,-1,5,1,6,-1]],[[2,1,1,1,2,1],[2,1,
1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[5,1,3,1,5,1,6,-1,3,-1,5,1,6,-1]]],[[[1,1,
2,1],[2,1,3,2,1,1,2,-1],[1,1,4,1],[5,1,4,3,5,2]],[[1,1,2,1],[2,1,3,2,1,1,2,
-1],[4,1,1,1],[1,1,4,-2,5,-1,1,1,4,2,5,1]]],[[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,
2,2,1],[1,1,4,-1,1,1,4,-1,1,1]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[4,2],[
5,1,1,1,4,-1,1,1,4,1,5,1]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-1],[4,1,1,1],[5,1,1,1,
4,1,5,-1,4,-1]],[[1,1,2,1],[2,1,3,2,1,1,2,-1],[1,1,4,1],[1,1,4,-2,5,1,1,1,4,
-1,5,-2]]],[[[2,1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[5,1,6,2,3,
1,5,1]],[[2,1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[6,1,5,1],[6,1,
7,-2,6,-1,5,1,3,-1]]],[[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[4,2,1,1,4,-1,1,
1,4,-1]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[1,1,4,1],[1,1,4,-1,5,1,4,1,1,
1,5,-2]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-1],[4,1,1,1],[5,1,1,1,4,1,5,-1,4,-1]],[[
1,1,2,1],[2,1,3,2,1,1,2,-1],[1,1,4,3,1,1,4,2]]],[[[1,1,2,1],[2,1,3,2,1,1,2,
-1],[4,1,1,1],[5,1,1,1,4,1,5,-1,4,-1]],[[1,1,2,1],[2,1,3,2,1,1,2,-1],[1,1,4,
1],[4,1,1,1],[1,1,4,-1,5,-1,6,2,4,1,6,1,5,1]]],[[[1,1,2,1],[2,1,3,2,1,1,2,
-1],[1,1,4,1],[4,1,1,1,4,-3,5,-2]],[[1,1,2,1],[2,1,3,2,1,1,2,-1],[1,1,4,1],[4,
2,1,1],[6,1,5,2,6,1]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-1],[1,1,4,1],[1,1,4,-2,5,1,
4,1,5,1,1,1,4,-1]],[[1,1,2,1],[2,1,3,2,1,1,2,-1],[1,1,4,1],[4,1,1,1],[6,1,4,
-2,5,-1,6,1,4,1,6,1,5,1]]],[[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[1,1,4,1],[
4,1,1,1],[5,2,6,-2,5,-1]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[1,1,4,1],[4,
1,5,2,4,2,1,1,5,1]]],[[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[4,1,1,1,4,
-1]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[4,1,1,1],[4,1,5,2,1,1,4,3]]],[[[
1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[1,1,4,1],[4,1,1,1],[6,1,5,-2,4,1,6,-1,5,
1,6,1]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[1,1,4,1],[4,1,1,1],[5,1,6,-1,
4,-1,6,-1,5,1,4,1,5,1,6,1]]],[[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[2,-1,1,1,2,
1],[4,1,5,1],[5,1,6,2,4,1]],[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[4,2],[4,1,2,
-1,1,1,2,1],[5,1,6,-3,5,-1]],[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[2,-1,1,1,2,
1],[4,1,5,1],[5,1,4,-1,5,1,6,2,4,2,5,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,
3,1,4,-2],[5,-1,2,-1,1,1,2,1,5,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,1,4,
-2],[2,-1,1,1,2,1],[5,2],[5,1,6,1],[7,1,8,-1,6,1,8,1,7,-1]],[[1,1,2,1],[2,1,1,
1],[3,1,2,1,4,-1,3,1,4,-2],[2,-1,1,1,2,1],[5,2],[6,1,5,-1,6,1],[8,1,7,1,8,1,7,
1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,1,4,-2],[2,-1,1,1,2,1],[5,2],[6,1,5,
-1,7,-1,6,1,7,1,5,1,6,1]]],[[[2,1,1,1,2,-1,1,1,2,1],[1,1,2,1],[4,1,2,1,1,1,2,
-1,4,-1],[5,1,3,1],[5,1,3,-2,5,1,3,-1,6,2]],[[2,1,1,1,2,-1,1,1,2,1],[1,1,2,
1],[4,1,2,1,1,1,2,-1,4,-1],[3,2],[3,1,5,1],[7,2,6,-2,7,-2]],[[2,1,1,1,2,-1,1,
1,2,1],[1,1,2,1],[4,1,2,1,1,1,2,-1,4,-1],[3,1,5,1],[5,1,3,-1,5,1,6,2,3,-2,5,
1]],[[2,1,1,1,2,-1,1,1,2,1],[1,1,2,1],[4,1,2,1,1,1,2,-1,4,-1],[3,2],[3,1,5,
1],[7,1,6,-1,3,-1,5,1,6,1,7,-2]]],[[[2,1,1,1,2,-1,1,1,2,1],[3,-4]],[[2,1,1,1,
2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[5,1,3,-4,5,1]],[[2,1,1,1,2,
-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[3,1,5,1],[7,1,6,-2,7,
-1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[5,1,3,1,
5,1],[7,1,6,-2,7,-1]]],[[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,
4,1],[3,2],[6,1,3,1,5,1,6,1,5,1,3,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,
2,1,4,-1,2,-1,4,1],[3,1,5,1],[3,3],[6,1,7,1,6,1,7,1]],[[2,1,1,1,2,-1,1,1,2,
1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[5,1,3,-1,5,1,6,1,5,1,3,-1,6,-1,5,
1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[5,1,3,-1,
5,1,6,-2,5,1,3,1,5,1]]],[[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,
4,1],[3,2],[3,1,5,1,6,-1,5,1,6,1,3,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,
2,1,4,-1,2,-1,4,1],[3,2],[3,1,5,1,6,1,5,1,6,1,3,1]],[[2,1,1,1,2,-1,1,1,2,1],[
2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[5,1,3,-1,5,1,3,1,5,1,6,1,5,1,6,-1]],[[
2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[3,1,5,1],[5,1,
7,1,6,1,5,1,6,1,7,1]]],[[[2,1,1,1,2,-1,1,1,2,1],[3,-4]],[[2,1,1,1,2,-1,1,1,2,
1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[5,1,3,-4,5,1]],[[2,1,1,1,2,-1,1,1,2,1],[
2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[6,1,5,1,3,2,5,1,6,-1,5,1]],[[2,1,1,1,
2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[3,1,5,1],[7,1,6,-1,5,1,
6,1,7,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,
1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[6,-2,5,1,6,-2]],[[2,1,1,1,2,-1,1,1,2,1],[
2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[6,1,5,1,6,-1,5,1,6,1]],[[2,1,1,1,2,-1,
1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[3,1,5,1],[7,1,6,1,5,1,6,-1,
7,-1]]],[[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[4,-3]],[[1,1,2,1],[1,1,2,-2,1,1,
2,-1,3,-2],[2,-1,1,1,2,1],[5,1,4,2,5,1,4,-2,5,1]],[[1,1,2,1],[1,1,2,-2,1,1,2,
-1,3,-2],[2,-1,1,1,2,1],[4,2],[4,1,5,1],[7,1,6,1,5,1,6,-1,7,-1]]],[[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,
-1,4,1],[3,2],[6,1,5,1,6,-1,5,1,6,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,
2,1,4,-1,2,-1,4,1],[3,2],[3,1,5,1],[7,1,6,-1,5,1,6,1,7,-1]]],[[[2,1,1,1,2,-1,
1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,1,5,1,3,3]],[[2,1,1,1,2,-1,1,1,
2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[5,1,3,2,5,1,3,-2,5,1]],[[2,1,1,1,2,-1,
1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[5,1,3,-1,5,1,6,-2,5,1,3,1,5,
1]]],[[[2,1,1,1,2,-1,1,1,2,1],[3,-4]],[[2,1,1,1,2,-1,1,1,2,1],[1,1,2,1],[4,1,
2,1,1,1,2,-1,4,-1],[3,2],[3,1,5,1],[7,1,6,-2,7,-1]],[[2,1,1,1,2,-1,1,1,2,1],[
1,1,2,1],[4,1,2,1,1,1,2,-1,4,-1],[3,2],[6,1,3,1,5,1,6,1,5,1,3,1]]],[[[1,1,2,
1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[4,1,1,1],[4,-2,1,1,4,2]],[[1,1,2,1],[2,1,1,1,
3,-1,2,-1,3,2,2,1],[1,1,4,1],[4,1,1,1],[5,1,4,1,6,2,4,-1,5,-1]],[[1,1,2,1],[2,
1,1,1,3,-1,2,-1,3,2,2,1],[1,1,4,1],[4,1,5,1],[5,1,6,1,4,1,1,1,5,-1,6,-1]]],[[[
2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,1,5,1,3,3]],[[2,1,
1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[6,1,3,1,5,1,6,1,5,
1,3,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[5,1,
3,-1,5,1,6,-2,5,1,3,1,5,1]]],[[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,
2,-1,4,1],[3,-1,5,1,3,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,
-1,4,1],[3,1,5,1],[6,1,3,-1,5,1,6,1,3,-1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[
1,1,2,1,4,-1,2,-1,4,1],[3,2],[5,1,6,-1,5,1,3,1,5,1,6,-1]]],[[[1,1,2,1],[1,1,2,
-2,1,1,2,-1,3,-2],[4,-3]],[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[2,-1,1,1,2,1],[
4,1,5,1],[5,1,4,1,6,-1,5,1,6,2]],[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[2,-1,1,
1,2,1],[4,2],[4,1,5,1],[7,1,6,1,5,1,6,-1,7,-1]]],[[[2,1,1,1,2,-1,1,1,2,1],[2,
1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,-1,5,1,3,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,
1],[1,1,2,1,4,-1,2,-1,4,1],[3,1,5,1],[6,1,3,-1,5,1,6,1,3,-1]],[[2,1,1,1,2,-1,
1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[5,1,6,-1,5,1,3,-1,6,-1,5,1,
6,-1]]],[[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[5,1,
6,1,5,1,3,1,5,1,6,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,
1],[3,2],[5,1,6,-1,5,1,3,-1,6,-1,5,1,6,-1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,
1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[3,1,5,1],[6,-2,7,-1,6,-1,7,-1,5,1]]],[[[2,1,
1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[5,1,6,1],[7,1,6,1,
7,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[5,1,3,-2,5,1,
3,-2,5,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[3,
1,5,1],[7,1,6,1,5,1,6,1,7,-1]]],[[[2,1,1,1,2,-1,1,1,2,1],[1,1,2,1],[4,1,2,1,1,
1,2,-1,4,-1],[3,1,5,1,3,-1]],[[2,1,1,1,2,-1,1,1,2,1],[1,1,2,1],[4,1,2,1,1,1,2,
-1,4,-1],[5,1,3,1,5,1,3,1]],[[2,1,1,1,2,-1,1,1,2,1],[1,1,2,1],[4,1,2,1,1,1,2,
-1,4,-1],[3,2],[6,1,5,1,3,1,5,1,3,-1,5,1,6,-1]]],[[[2,1,1,1,2,-1,1,1,2,1],[2,
1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[6,-2,5,1,6,-2]],[[2,1,1,1,2,-1,1,1,2,
1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,1,5,1],[6,1,3,2,5,1,6,1,3,1]],[[2,1,1,
1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[5,1,3,1],[5,1,7,-1,6,
-2,7,1]]],[[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,1,5,1,
3,3]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[3,1,5,
1,6,1,5,1,6,1,5,1,3,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,
4,1],[3,1,5,1],[5,1,3,-1,5,1,6,1,3,-2,6,-1,5,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,
1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[5,1,3,-1,5,1,6,-2,5,1,3,1,5,1]]],[[[2,1,1,
1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,-1,5,1,3,1]],[[2,1,1,1,2,
-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,1,5,1],[6,1,3,-1,5,1,6,1,3,
-1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,1,5,1],[5,1,
6,1,3,-2,6,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,
2],[6,1,5,1,6,-2,5,1,6,-1]]],[[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,
2,-1,4,1],[3,2],[3,1,5,1,6,-1,5,1,6,1,3,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,
1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[3,1,5,1,6,1,5,1,6,1,3,1]],[[2,1,1,1,2,-1,1,
1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[3,1,5,1],[5,1,7,1,6,-1,5,1,6,
1,7,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[5,1,
3,-1,5,1,3,1,5,1,6,1,5,1,6,-1]]],[[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[2,-1,1,
1,2,1],[4,1,5,1],[5,1,6,2,4,1]],[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[2,-1,1,1,
2,1],[4,2],[4,1,5,1],[6,1,5,1,6,-1,5,1,7,2]],[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,
-2],[2,-1,1,1,2,1],[4,1,5,1],[5,1,4,-1,5,1,6,2,4,2,5,1]]],[[[1,1,2,1],[1,1,2,
-2,1,1,2,-1,3,-2],[2,-1,1,1,2,1],[4,1,5,1],[5,1,6,2,4,1]],[[1,1,2,1],[1,1,2,
-2,1,1,2,-1,3,-2],[2,-1,1,1,2,1],[5,1,4,-1,5,1,4,1,5,1,4,-2]],[[1,1,2,1],[1,1,
2,-2,1,1,2,-1,3,-2],[2,-1,1,1,2,1],[4,2],[5,1,6,-1,5,1,4,-1,5,1,4,-1,5,1,6,
1]]],[[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[2,-1,1,1,2,1],[4,1,5,1],[5,1,6,2,4,
1]],[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[2,-1,1,1,2,1],[4,1,5,1],[5,1,4,-1,6,
-1,5,1,6,2]],[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[2,-1,1,1,2,1],[5,1,4,1],[4,
1,5,1,6,-1,4,-2,6,1,5,1]]],[[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[1,1,4,1],[
4,1,5,1],[6,1,4,1,1,1,6,1,5,1]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[1,1,4,
1],[4,1,1,1],[5,1,4,1,6,-1,5,2,6,1]]],[[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[4,
-1,2,-1,1,1,2,1,4,1]],[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[2,-1,1,1,2,1],[4,1,
5,1],[6,1,4,-2,6,-1,5,1]]],[[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[4,2],[5,1,2,
-1,1,1,2,1,5,-1]],[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[2,-1,1,1,2,1],[4,2],[5,
1,6,1,5,1,4,1,5,1,6,1]]],[[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[4,-3]],[[1,1,2,
1],[1,1,2,-2,1,1,2,-1,3,-2],[4,1,2,-1,1,1,2,1],[4,2,5,1],[5,1,6,2]],[[1,1,2,
1],[1,1,2,-2,1,1,2,-1,3,-2],[2,-1,1,1,2,1],[4,2],[4,1,5,1],[6,1,7,-1,5,1,6,1,
7,2]]],[[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[6,1,
5,1,3,1,5,1,6,1,5,1,3,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,
-1,4,1],[3,2],[5,1,6,1,5,1,3,-1,5,1,3,1,6,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,
1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[5,1,3,-1,5,1,6,-2,5,1,3,1,5,1]]],[[[2,1,1,1,
2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[6,1,5,1,3,1,5,1,6,-1,5,
1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,1,5,1],[5,1,
3,-1,5,1,6,1,3,-3,6,-1]]],[[[2,1,1,1,2,-1,1,1,2,1],[1,1,2,1],[4,1,2,1,1,1,2,
-1,4,-1],[3,1,5,1,3,1,5,1,3,1]],[[2,1,1,1,2,-1,1,1,2,1],[1,1,2,1],[4,1,2,1,1,
1,2,-1,4,-1],[3,2],[3,1,5,1,6,1,5,1,6,-2]]],[[[2,1,1,1,2,-1,1,1,2,1],[1,1,2,
1],[4,1,2,1,1,1,2,-1,4,-1],[3,2],[3,-1,6,-1,5,1,6,-1]],[[2,1,1,1,2,-1,1,1,2,
1],[1,1,2,1],[4,1,2,1,1,1,2,-1,4,-1],[5,1,3,2],[6,2,3,1,5,1]]],[[[1,1,2,1],[2,
1,1,1],[3,1,2,1,4,-1,3,1,4,-2],[2,-1,1,1,2,1],[5,1,6,1],[7,3,5,-1,6,1]],[[1,1,
2,1],[2,1,1,1],[3,1,2,1,4,-1,3,1,4,-2],[2,-1,1,1,2,1],[5,1,6,1],[5,2,6,1,7,2,
5,1]]],[[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[6,1,
5,1,6,-1,5,1,6,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[
3,1,5,1],[5,1,3,-1,5,1,6,1,3,-3,6,-1]]],[[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,
1],[4,1,1,1,4,-1,1,1,4,-3]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[1,1,4,1],[
4,1,1,1],[5,1,4,1,6,-1,5,2,6,1]]],[[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,
4,-1,2,-1,4,1],[3,2],[6,1,5,1,6,-2,5,1,6,-1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,
1],[1,1,2,1,4,-1,2,-1,4,1],[3,1,5,1],[3,2,5,1,3,1,6,-2,5,1]]],[[[1,1,2,1],[1,
1,2,-2,1,1,2,-1,3,-2],[4,2],[5,1,2,-1,1,1,2,1,5,-1]],[[1,1,2,1],[1,1,2,-2,1,1,
2,-1,3,-2],[2,-1,1,1,2,1],[5,1,4,-3,5,1]],[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,
-2],[2,-1,1,1,2,1],[4,1,5,1],[6,1,4,-1,5,1,6,1,4,1]]],[[[1,1,2,1],[2,1,1,1,3,
-1,2,-1,3,2,2,1],[4,1,1,1],[1,1,4,-1,1,1,4,2,5,2]],[[1,1,2,1],[2,1,1,1,3,-1,2,
-1,3,2,2,1],[1,1,4,1],[4,2,1,1,4,-1,5,2,4,1]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,
2,2,1],[1,1,4,1],[5,1,4,3,1,1,4,-1,5,1]]],[[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[
1,1,2,1,4,-1,2,-1,4,1],[5,1,3,2,5,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,
2,1,4,-1,2,-1,4,1],[3,-2,5,1,3,-2]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,
1,4,-1,2,-1,4,1],[3,2],[5,1,3,1,5,1],[7,1,6,-2,7,1]]],[[[2,1,1,1,2,-1,1,1,2,
1],[3,-4]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[5,
1,3,1,5,1],[7,1,6,-2,7,-1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,
-1,4,1],[3,2],[5,1,3,-1,5,1,3,1,5,1,6,1,5,1,6,1]]],[[[1,1,2,1],[1,1,2,-2,1,1,
2,-1,3,-2],[2,-1,1,1,2,1],[4,1,5,1,4,-3,5,1,4,-1]],[[1,1,2,1],[1,1,2,-2,1,1,2,
-1,3,-2],[2,-1,1,1,2,1],[4,2],[4,1,5,1],[5,1,6,1,7,-2,5,1,6,-1]],[[1,1,2,1],[
1,1,2,-2,1,1,2,-1,3,-2],[2,-1,1,1,2,1],[4,2],[5,1,6,-1,5,1,4,-1,5,1,4,-1,5,1,
6,1]]],[[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[5,1,
6,1],[6,1,7,2]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,
2],[3,1,5,1],[6,1,7,1,6,-1,7,-1,5,1]]],[[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,
1,2,1,4,-1,2,-1,4,1],[3,2],[5,1,6,1],[6,1,7,2]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,
1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[3,1,5,1],[5,1,7,1,6,-1,7,-1,6,-1]]],[[[2,
1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[6,1,5,1,6,-1,5,1,
6,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,1,5,1],[3,
2,5,1,3,1,6,-2,5,1]]],[[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,
1],[3,2],[6,1,5,1,6,-1,5,1,6,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,
-1,2,-1,4,1],[3,2],[3,1,5,1],[7,2,6,1,5,1,6,1]]],[[[2,1,1,1,2,-1,1,1,2,1],[2,
1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[5,1,6,-2]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,
1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[6,1,5,1,3,-1,5,1,6,-1]]],[[[1,1,2,1],[2,1,
1,1,3,-1,2,-1,3,2,2,1],[4,1,1,1,4,-1,1,1,4,-3]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,
3,2,2,1],[1,1,4,1],[4,1,5,1,4,1,1,1,4,2,5,1]]],[[[2,1,1,1,2,-1,1,1,2,1],[2,1,
1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[5,1,6,1,5,1,3,1,5,1,6,1]],[[2,1,1,1,2,-1,
1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,1,5,1],[3,2,6,-1,5,1,6,2]]],[[[
2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,-1,5,1,3,1]],[[2,1,
1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[6,1,5,1,6,1,5,1,6,
-1]]],[[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[6,1,3,
1,5,1,6,1,5,1,3,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,
1],[3,2],[5,1,6,1,5,1,3,-1,5,1,3,1,6,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,
1,2,1,4,-1,2,-1,4,1],[3,2],[5,1,3,-1,5,1,6,-2,5,1,3,1,5,1]]],[[[1,1,2,1],[2,1,
1,1],[3,1,2,1,4,-1,3,1,4,-2],[5,-1,2,-1,1,1,2,1,5,3]],[[1,1,2,1],[2,1,1,1],[3,
1,2,1,4,-1,3,1,4,-2],[2,-1,1,1,2,1],[5,2],[7,1,6,1,5,1,7,1,6,1,5,-1,6,1]],[[1,
1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,1,4,-2],[2,-1,1,1,2,1],[5,2],[6,1,5,-1,6,1,7,
1,6,1,7,1,5,1,6,1]]],[[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,
1],[5,1,3,-1,5,1,3,1,5,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,
-1,4,1],[3,2],[5,1,6,1],[6,1,7,2]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,
4,-1,2,-1,4,1],[3,2],[6,-2,3,1,5,1,6,1,3,1]]],[[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,
1],[1,1,2,1,4,-1,2,-1,4,1],[3,1,5,1,3,-1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[
1,1,2,1,4,-1,2,-1,4,1],[3,2],[5,1,6,1],[6,1,7,2]],[[2,1,1,1,2,-1,1,1,2,1],[2,
1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[5,1,3,1,6,1,5,1,3,-1,6,-1,5,1]]],[[[1,1,
2,1],[1,1,2,-2,1,1,2,-1,3,-2],[4,2],[5,1,2,-1,1,1,2,1,5,-1]],[[1,1,2,1],[1,1,
2,-2,1,1,2,-1,3,-2],[2,-1,1,1,2,1],[5,1,4,-3,5,1]],[[1,1,2,1],[1,1,2,-2,1,1,2,
-1,3,-2],[4,1,2,-1,1,1,2,1],[4,2,5,4]]],[[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,
1],[1,1,4,1],[4,1,5,2,1,1,4,1,1,1]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[1,
1,4,1],[5,2],[6,1,1,1,4,-1,6,-1]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[1,1,
4,1],[4,1,1,1],[5,1,6,-1,5,1,4,1,6,1]]],[[[2,1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,
-1,2,-1,4,1],[3,2],[3,1,5,1],[7,1,6,2,3,1,7,-1]],[[2,1,1,1,2,1],[2,1,1,1],[1,
1,2,1,4,-1,2,-1,4,1],[3,2],[6,1,5,1,3,2,5,1,6,-1,5,1,6,-1]],[[2,1,1,1,2,1],[2,
1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[3,1,5,1],[7,1,6,1,5,1,7,2,6,1,5,1,3,
1]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-1],[4,-5]],[[1,1,2,1],[2,1,3,2,1,1,2,-1],[4,
1,1,1],[4,2,1,1,4,1,5,-2,4,-1]],[[1,1,2,1],[2,1,3,2,1,1,2,-1],[1,1,4,1],[4,1,
1,1],[1,1,4,-2,5,1,6,2,4,1,5,2]]],[[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[4,-1,
2,-1,1,1,2,1,4,1]],[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[2,-1,1,1,2,1],[5,1,4,
1],[4,2,6,2,5,1,4,-1]],[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[2,-1,1,1,2,1],[4,
2],[4,1,5,1],[6,-1,7,-1,5,1,7,1,6,-1]]],[[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,
1,2,1,4,-1,2,-1,4,1],[3,1,5,1,3,-2,5,1,3,1,5,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,
1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[5,1,6,-1,5,1,3,1,5,1,6,-1]]],[[[2,1,1,1,2,
-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[6,-2,5,1,6,-2]],[[2,1,1,
1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[3,1,5,1,6,1,5,1,6,1,
3,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[3,1,5,
1],[5,1,7,1,6,-1,5,1,6,1,7,1]]],[[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[2,-1,1,
1,2,1],[4,1,5,1],[5,1,4,-1,6,-2]],[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[2,-1,1,
1,2,1],[4,2],[6,1,5,1,4,-1,6,-1,5,1,6,-1]],[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,
-2],[2,-1,1,1,2,1],[4,1,5,1],[5,1,4,1,6,-3,4,-2]]],[[[1,1,2,1],[2,1,1,1],[3,1,
2,1,4,-1,3,1,4,-2],[5,-1,2,-1,1,1,2,1,5,3]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,
-1,3,1,4,-2],[2,-1,1,1,2,1],[5,2],[7,1,6,1,5,1,7,1,6,1,5,-1,6,1]],[[1,1,2,1],[
2,1,1,1],[3,1,2,1,4,-1,3,1,4,-2],[2,-1,1,1,2,1],[5,2],[5,1,6,1,5,-1,6,1,7,1,6,
1,7,1]]],[[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[1,1,4,1],[1,1,4,-1,5,1,1,1,
4,-1,5,-2]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[1,1,4,1],[4,1,1,1],[5,1,4,
1,6,-1,5,2,6,1]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[1,1,4,1],[4,1,1,1],[
4,1,5,1,6,-1,5,1,6,-1,4,-1]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-1],[4,1,1,1],[4,1,5,
1,4,-1,1,1,4,-2,5,-1]],[[1,1,2,1],[2,1,3,2,1,1,2,-1],[1,1,4,1],[4,1,1,1],[6,1,
5,-1,4,-1,5,2,6,-1]]],[[[2,-1,1,1,2,1]],[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[
2,-1,1,1,2,1],[4,2],[6,1,5,1,6,1,5,1,4,-1,5,1,4,1,5,1]]],[[[2,1,1,1,2,-1,1,1,
2,1],[3,-4]],[[2,1,1,1,2,-1,1,1,2,1],[1,1,2,1],[4,1,2,1,1,1,2,-1,4,-1],[3,2],[
3,1,5,1],[7,1,6,1,3,1,7,-1,5,1,6,-1]]],[[[2,1,1,1,2,-1,1,1,2,1],[3,-4]],[[2,1,
1,1,2,-1,1,1,2,1],[1,1,2,1],[4,1,2,1,1,1,2,-1,4,-1],[3,1,5,1],[5,1,6,1,3,-3,6,
-1]]],[[[2,-1,1,1,2,1]],[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[2,-1,1,1,2,1],[4,
2],[6,1,5,1,4,-1,5,1,6,1]]],[[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[2,-1,1,1,2,
1],[4,2],[5,1,6,-1,5,1,4,-1,5,1,6,1]],[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[2,
-1,1,1,2,1],[4,2],[4,1,5,1],[6,1,7,2,6,-1,5,1,4,1,5,1]]],[[[1,1,2,1],[2,1,1,1,
3,-1,2,-1,3,2,2,1],[4,1,1,1],[4,1,5,1,4,-1,1,1,5,1]],[[1,1,2,1],[2,1,1,1,3,-1,
2,-1,3,2,2,1],[1,1,4,1],[4,1,1,1],[4,1,6,-1,5,1,6,2,5,-2]]],[[[1,1,2,1],[2,1,
3,2,1,1,2,-1],[1,1,4,1],[5,1,1,1,4,-2,5,1,4,1,5,1]],[[1,1,2,1],[2,1,3,2,1,1,2,
-1],[1,1,4,1],[1,1,4,-2,5,1,4,1,1,1,4,-1,5,-1]]],[[[1,1,2,1],[2,1,1,1,3,-1,2,
-1,3,2,2,1],[4,1,1,1],[5,1,4,-2,1,1,4,2,5,-1]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,
3,2,2,1],[1,1,4,1],[5,1,4,1,5,2,1,1,4,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[2,2,4,1,
2,1,1,1,3,-2,2,-1,4,-1],[5,-2]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,2,1,3,
2],[1,1,2,1],[2,1,1,1],[2,2,7,1,2,1,1,1,6,-2,2,-1,7,-1],[5,2],[8,1,5,1,9,
2]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,2,1,3,2],[1,1,2,1],[2,1,1,1],[2,2,
7,1,2,1,1,1,6,-2,2,-1,7,-1],[5,2],[9,1,8,-1,9,-1,8,1,9,1]]],[[[1,1,2,1],[2,1,
3,2,1,1,2,-1],[1,1,4,1],[5,1,1,1,4,1,1,1,4,1,5,1]],[[1,1,2,1],[2,1,3,2,1,1,2,
-1],[1,1,4,1],[4,1,1,1],[4,1,6,1,5,3,6,-1]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-1],[
4,1,1,1],[1,1,4,1,5,-2,4,-1]],[[1,1,2,1],[2,1,3,2,1,1,2,-1],[1,1,4,-1,1,1,4,
-1,1,1,4,3]]],[[[1,1,2,1],[2,1,1,1],[2,2,4,1,2,1,1,1,3,-2,2,-1,4,-1]],[[1,1,2,
1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,2,1,3,2],[1,1,2,1],[2,1,1,1],[2,2,7,1,2,1,1,1,
6,-2,2,-1,7,-1],[5,2],[9,1,8,1,9,-1,8,1,9,1]]],[[[1,1,2,1],[2,1,3,2,1,1,2,
-1],[1,1,4,1],[4,1,1,1],[4,1,5,2,6,3]],[[1,1,2,1],[2,1,3,2,1,1,2,-1],[1,1,4,
1],[4,1,1,1],[4,1,5,1],[6,1,7,-1,5,1,7,1,6,1]]],[[[1,1,2,1],[2,1,3,2,1,1,2,
-1],[1,1,4,-5,1,1]],[[1,1,2,1],[2,1,3,2,1,1,2,-1],[1,1,4,1],[4,1,5,1],[6,1,5,
1,6,1]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-1],[4,-5]],[[1,1,2,1],[2,1,3,2,1,1,2,
-1],[1,1,4,-2,1,1,4,1,1,1,4,1,1,1]]],[[[2,-1,1,1,2,1]],[[1,1,2,1],[2,1,1,1],[
3,1,2,1,4,-1,3,1,4,-2],[2,-1,1,1,2,1],[5,1,6,1],[6,1,5,-1,6,1,7,2,5,-2]],[[1,
1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,1,4,-2],[2,-1,1,1,2,1],[5,2],[5,1,6,1],[8,2,
7,-1,6,1,7,-1]]],[[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[1,1,4,1],[4,2,1,1,5,
1,4,2,5,1]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[1,1,4,1],[4,2,5,1,4,1,5,1,
4,1,1,1]]],[[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[1,1,4,1],[4,1,5,1,1,1,4,
-1,5,1,4,1]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[1,1,4,1],[4,1,1,1],[5,1,
4,1,6,-1,5,2,6,1]]],[[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,
1],[3,2],[6,1,5,1,6,1,5,1,6,-1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,
-1,2,-1,4,1],[3,2],[6,1,3,1,5,1,6,-1,5,1,3,-1]]],[[[2,1,1,1,2,-1,1,1,2,1],[1,
1,2,1],[4,1,2,1,1,1,2,-1,4,-1],[5,1,3,1],[6,1,3,2,6,1]],[[2,1,1,1,2,-1,1,1,2,
1],[1,1,2,1],[4,1,2,1,1,1,2,-1,4,-1],[3,2],[6,1,5,1,6,-1,5,1,3,-1,5,1,3,1,5,
1]]],[[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[2,-1,1,1,2,1],[4,1,5,1],[5,1,6,1,4,
-2,6,1]],[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[2,-1,1,1,2,1],[4,2],[6,1,5,1,4,
-1,5,1,6,1,5,1,4,1]]],[[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,
1],[3,2],[6,1,5,1,6,1,5,1,6,-1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,
-1,2,-1,4,1],[3,2],[3,1,5,1],[7,1,6,1,3,1,7,-1,6,-1]]],[[[1,1,2,1],[2,1,1,1,3,
-1,2,-1,3,2,2,1],[4,1,1,1],[1,1,4,-1,1,1,4,2,5,2]],[[1,1,2,1],[2,1,1,1,3,-1,2,
-1,3,2,2,1],[1,1,4,1],[4,1,5,1],[6,1,5,1,4,1,1,1,6,-1]]],[[[1,1,2,1],[2,1,3,2,
1,1,2,-1],[1,1,4,1],[5,1,1,1,4,1,1,1,4,1,5,2]],[[1,1,2,1],[2,1,3,2,1,1,2,-1],[
1,1,4,1],[4,2,5,1,4,2,1,1,5,-1]]],[[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,
4,-1,2,-1,4,1],[3,2],[6,1,5,1,6,1,5,1,6,-1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,
1],[1,1,2,1,4,-1,2,-1,4,1],[5,1,3,-3,5,1,3,-1,5,1,3,1,5,1]]],[[[1,1,2,1],[2,1,
1,1,3,-1,2,-1,3,2,2,1],[1,1,4,1],[4,1,5,2,1,1,4,1,1,1]],[[1,1,2,1],[2,1,1,1,3,
-1,2,-1,3,2,2,1],[4,1,1,1],[4,1,5,3,4,-2,1,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,
1,4,-1,3,1,4,-2],[2,-1,1,1,2,1],[6,1,5,-1,6,1,5,1]],[[1,1,2,1],[2,1,1,1],[3,1,
2,1,4,-1,3,1,4,-2],[2,-1,1,1,2,1],[5,1,6,1],[7,2,5,-1,6,1,5,-2]]],[[[1,1,2,
1],[2,1,1,1],[3,1,2,1,4,-1,3,1,4,-2],[5,2],[6,1,2,-1,1,1,2,1,6,-1]],[[1,1,2,
1],[2,1,1,1],[3,1,2,1,4,-1,3,1,4,-2],[5,1,2,-1,1,1,2,1,5,3]]],[[[2,1,1,1,2,-1,
1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,1,5,1],[6,1,3,2,6,1]],[[2,1,1,1,
2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[6,1,5,1,6,-2,5,1,6,
-1]]],[[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[5,1,3,-1,5,
1,3,-3]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[5,1,
6,-1,5,1,6,1]]],[[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[1,1,4,1],[4,2,1,1,5,
1,4,2,5,1]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[4,1,1,1],[4,1,5,3,4,-2,1,
1]]],[[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[1,1,4,-1,1,1,4,-4,1,1]],[[1,1,2,
1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[1,1,4,1],[4,1,1,1],[6,1,5,-2,4,1,6,-1,5,
1]]],[[[2,1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[5,1,6,2,3,1,5,1,
3,-1,6,-1]],[[2,1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[3,1,5,1],[
7,1,6,2,3,1,7,-1]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-1],[1,1,4,1],[5,1,4,1,5,1,1,1,
4,-2]],[[1,1,2,1],[2,1,3,2,1,1,2,-1],[1,1,4,1],[4,1,5,3,4,2]]],[[[1,1,2,1],[2,
1,3,2,1,1,2,-1],[4,2],[5,1,1,1,4,1,5,1,1,1,4,-1]],[[1,1,2,1],[2,1,3,2,1,1,2,
-1],[1,1,4,-3,1,1,4,3,1,1]]],[[[2,1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,
1],[3,2],[6,1,5,1,6,-1]],[[2,1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,
2],[5,1,3,1,5,1,6,2,3,1]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-1],[4,-5]],[[1,1,2,1],[
2,1,3,2,1,1,2,-1],[1,1,4,1],[4,1,1,1,5,-2,4,-1,5,-2]]],[[[1,1,2,1],[2,1,1,1],[
3,1,2,1,4,-1,3,1,4,-2],[2,-1,1,1,2,1],[5,1,6,1,5,-1,6,1,5,2,6,1]],[[1,1,2,1],[
2,1,1,1],[3,1,2,1,4,-1,3,1,4,-2],[2,-1,1,1,2,1],[5,2],[6,1,7,1,6,1,5,1,6,1,7,
1]]],[[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,1,5,1],[6,
2,3,2,6,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,1,5,
1],[5,1,6,1,3,3,6,-1]]],[[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[2,-1,1,1,2,1],[
4,2],[5,1,4,1,5,1],[7,1,6,1,7,1,6,1]],[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[2,
-1,1,1,2,1],[4,2],[4,1,5,1],[5,1,7,2,6,1,5,1,6,-1]]],[[[1,1,2,1],[2,1,3,2,1,1,
2,-1],[4,1,1,1],[5,1,1,1,4,1,5,-1,4,-1]],[[1,1,2,1],[2,1,3,2,1,1,2,-1],[1,1,4,
1],[4,1,1,1],[1,1,4,-1,5,-1,6,2,4,1,6,1,5,1]],[[1,1,2,1],[2,1,3,2,1,1,2,-1],[
1,1,4,1],[4,1,1,1],[6,1,5,-1,4,-2,5,1,4,1,5,1,6,-1]]],[[[2,1,1,1,2,1],[2,1,1,
1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[3,1,5,1],[7,1,6,2,3,1,7,-1]],[[2,1,1,1,2,
1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[5,1,3,1],[6,1,3,1,7,1,6,1,5,1,6,
-1,7,1]],[[2,1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[5,1,3,1],[6,
1,7,1,3,1,5,1,7,1,6,1,5,1,6,-1]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-1],[4,1,1,1],[1,
1,4,-1,5,-1,1,1,4,1,1,1,5,1]],[[1,1,2,1],[2,1,3,2,1,1,2,-1],[1,1,4,1],[5,1,4,
3,1,1,4,-1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,-1,1,-1,2,-1,4,
1]],[[2,1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[3,-1,6,-1,5,1,6,
-2]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-1],[1,1,4,1],[5,1,4,1,1,1,4,-1,5,-1]],[[1,1,
2,1],[2,1,3,2,1,1,2,-1],[1,1,4,1],[4,1,1,1],[4,1,6,2,5,-2,4,-1]]],[[[1,1,2,
1],[2,1,1,1],[2,1,4,-2,3,-2],[2,-1,1,1,2,1],[5,1,6,1,5,-1,6,1,5,1]],[[1,1,2,
1],[2,1,1,1],[2,1,4,-2,3,-2],[2,-1,1,1,2,1],[6,1,5,-1,6,1,5,2]]],[[[1,1,2,1],[
2,1,1,1,3,-1,2,-1,3,2,2,1],[1,1,4,-2,1,1,4,1,1,1,4,-1]],[[1,1,2,1],[2,1,1,1,3,
-1,2,-1,3,2,2,1],[1,1,4,1],[4,1,5,1,4,1,1,1,4,2,5,1]]],[[[2,1,1,1,2,-1,1,1,2,
1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[5,1,6,1],[7,1,6,1,7,1]],[[2,1,1,1,
2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,1,5,1],[5,1,3,1],[7,1,6,-1,
7,1,6,-1]]],[[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[1,1,4,-1,1,1,4,1,1,1]],[[
1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[4,1,1,1,4,2,1,1,4,1]]],[[[1,1,2,1],[1,1,
2,-2,1,1,2,-1,3,-2],[4,-1,2,-1,1,1,2,1,4,1]],[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,
-2],[4,1,2,-1,1,1,2,1],[5,1,4,2,5,2,4,1]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-1],[4,
1,1,1],[1,1,4,1,5,-1,4,-1,5,1]],[[1,1,2,1],[2,1,3,2,1,1,2,-1],[1,1,4,1],[1,1,
4,-2,5,1,4,1,5,2]]],[[[2,1,1,1,2,-1,1,1,2,1],[1,1,2,1],[4,1,2,1,1,1,2,-1,4,
-1],[3,2],[6,1,5,1,6,-1]],[[2,1,1,1,2,-1,1,1,2,1],[1,1,2,1],[4,1,2,1,1,1,2,-1,
4,-1],[3,2],[3,1,5,1,6,1,5,1,3,-1,5,1,6,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,-1,
3,-2,4,1,2,1,3,2],[1,1,2,1],[2,1,1,1],[2,2,7,1,2,1,1,1,6,-2,2,-1,7,-1],[5,-1,
8,1,5,2]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,2,1,3,2],[1,1,2,1],[2,1,1,
1],[2,2,7,1,2,1,1,1,6,-2,2,-1,7,-1],[5,1,8,-1,5,-2]]],[[[1,1,2,1],[2,1,1,1,3,
-1,2,-1,3,2,2,1],[1,1,4,1],[4,1,1,1],[6,1,5,-2,6,2]],[[1,1,2,1],[2,1,1,1,3,-1,
2,-1,3,2,2,1],[4,1,1,1],[4,2,5,-1,1,1,4,1,5,-1,4,-1]]],[[[1,1,2,1],[2,1,1,1,3,
-1,2,-1,3,2,2,1],[1,1,4,1],[4,1,1,1],[5,2,6,-2,5,-1]],[[1,1,2,1],[2,1,1,1,3,
-1,2,-1,3,2,2,1],[4,1,1,1],[4,1,5,2,1,1,4,3]]],[[[1,1,2,1],[2,1,1,1,3,-1,2,-1,
3,2,2,1],[4,2,1,1,4,-1,1,1,4,-1]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[1,1,
4,1],[5,1,4,1,1,1,4,-1,5,-1,4,-1,5,-1]]],[[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[
1,1,2,1,4,-1,2,-1,4,1],[3,2],[6,1,5,1,6,1,5,1,6,-1]],[[2,1,1,1,2,-1,1,1,2,1],[
2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[5,1,6,1,5,1,3,1,5,1,6,1]],[[2,1,1,1,2,
-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[5,1,6,-1,5,1,3,-1,5,1,6,
-1]]],[[[2,1,1,1,2,-1,1,1,2,1],[3,-4]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,
2,1,4,-1,2,-1,4,1],[5,1,3,-4,5,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,
4,-1,2,-1,4,1],[3,2],[3,1,5,1],[7,1,6,-2,7,-1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,
1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[5,1,3,1,5,1],[7,1,6,-2,7,-1]],[[2,1,1,1,2,
-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[3,1,5,1],[7,2,6,-2,7,
-2]]],[[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[3,1,5,
1,6,-1,5,1,6,1,3,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,
1],[3,2],[3,1,5,1,6,1,5,1,6,1,3,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,
1,4,-1,2,-1,4,1],[3,2],[5,1,3,1,5,1],[7,1,6,-2,7,-1]],[[2,1,1,1,2,-1,1,1,2,
1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[3,1,5,1],[5,1,7,1,6,-1,5,1,6,1,7,
1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[5,1,3,-1,
5,1,3,1,5,1,6,1,5,1,6,-1]]],[[[2,-1,1,1,2,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,
-1,3,1,4,-2],[2,-1,1,1,2,1],[5,2],[5,1,6,1],[8,1,7,1,6,1,7,-1,8,-1]],[[1,1,2,
1],[2,1,1,1],[3,1,2,1,4,-1,3,1,4,-2],[2,-1,1,1,2,1],[5,2],[7,2,6,1,7,-1,6,1,5,
1,6,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,1,4,-2],[2,-1,1,1,2,1],[5,2],[5,
1,6,1],[6,1,7,-1,8,-1,6,1,8,1,7,1]]],[[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,
2,1,4,-1,2,-1,4,1],[3,2],[6,1,5,1,6,-1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,
1,2,1,4,-1,2,-1,4,1],[3,2],[6,1,5,1],[6,1,7,2]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,
1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[5,1,3,1,5,1],[7,1,6,-2,7,1]],[[2,1,1,1,2,
-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[3,1,5,1],[7,1,6,1,5,1,6,
-1,7,-1]]],[[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[4,1,2,-1,1,1,2,1,4,-1]],[[1,
1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[2,-1,1,1,2,1],[4,1,5,1],[5,1,6,1,4,-2,6,
1]],[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[2,-1,1,1,2,1],[4,2],[4,1,5,1],[6,1,7,
3,6,-1,5,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,1,4,-2],[2,-1,1,1,2,1],[6,
1,5,-1,6,1,5,1,6,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,1,4,-2],[5,2],[6,1,
2,-1,1,1,2,1,6,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,1,4,-2],[2,-1,1,1,2,
1],[6,1,5,-2,6,1,5,1]]],[[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[4,-1,2,-1,1,1,2,
1,4,1]],[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[2,-1,1,1,2,1],[4,1,5,1],[6,1,4,
-2,6,-1,5,1]],[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[2,-1,1,1,2,1],[4,2],[6,1,5,
1,4,-1,6,-1,5,1,6,-1]]],[[[2,-1,1,1,2,1]],[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,
-2],[4,-1,2,-1,1,1,2,1,4,1]],[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[2,-1,1,1,2,
1],[4,2],[4,1,5,1],[6,-1,7,-1,5,1,7,1,6,-1]]],[[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,
1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[5,1,6,1,5,1,3,1,5,1,6,-1]],[[2,1,1,1,2,-1,1,
1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[3,1,5,1],[5,1,7,1,6,1,5,1,6,1,
7,-1]]],[[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[1,1,4,1],[5,2,4,2,1,1,5,
-1]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[4,1,1,1],[1,1,4,-2,5,-3,4,
-1]]],[[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[6,-2,
5,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,1,5,1],[5,
1,3,-1,5,1,3,2,6,-2]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,1,4,-2],[5,1,2,
-1,1,1,2,1],[6,2,5,3]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,1,4,-2],[2,-1,1,1,
2,1],[5,1,6,1],[6,1,7,2,5,2,7,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,1,4,
-2],[2,-1,1,1,2,1],[5,2],[5,1,6,1,7,-1,6,1,5,-1,7,-1]]],[[[1,1,2,1],[1,1,2,-2,
1,1,2,-1,3,-2],[4,-1,2,-1,1,1,2,1,4,1]],[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[
2,-1,1,1,2,1],[4,2],[6,1,5,1,6,1,5,1,4,1,5,1,6,1]],[[1,1,2,1],[1,1,2,-2,1,1,2,
-1,3,-2],[2,-1,1,1,2,1],[4,2],[4,1,5,1,4,-1,5,1,6,1,5,1,6,-1]]],[[[2,1,1,1,2,
-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[6,1,5,1,6,-2,5,1,6,
-1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[3,1,5,
1],[6,1,7,1,6,-1,7,-1,5,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,
-1,4,1],[3,2],[3,1,5,1],[7,2,6,1,5,1,6,1]]],[[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,
1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[6,1,5,1,6,1,5,1,6,-1]],[[2,1,1,1,2,-1,1,1,2,
1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[5,1,6,-1,5,1,3,-1,5,1,6,1]],[[2,1,
1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[6,1,5,1,3,1,5,1,6,
-1,5,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,1,4,-2],[5,1,2,-1,1,1,2,1],[6,
1,5,2,6,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,1,4,-2],[5,2],[6,1,5,1,2,-1,
1,1,2,1,6,1]]],[[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,
2],[5,1,6,-1,5,1,3,1,5,1,6,-1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,
-1,2,-1,4,1],[3,1,5,1],[3,2,5,1,3,1,6,-2,5,1]]],[[[2,1,1,1,2,-1,1,1,2,1],[2,1,
1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,-1,5,1,3,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,
1],[1,1,2,1,4,-1,2,-1,4,1],[3,1,5,1],[6,1,3,-1,5,1,6,1,3,-1]],[[2,1,1,1,2,-1,
1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[5,1,6,-1,5,1,3,1,5,1,6,
-1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[6,1,5,1,
6,-2,5,1,6,-1]]],[[[2,-1,1,1,2,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,1,4,
-2],[2,-1,1,1,2,1],[5,2],[6,1,5,-1,6,1,7,2,6,1,7,1]]],[[[1,1,2,1],[2,1,1,1,3,
-1,2,-1,3,2,2,1],[4,1,1,1,4,-1,1,1,4,-3]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,
1],[1,1,4,1],[4,1,5,1],[6,1,4,1,1,1,6,1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[3,1,5,
1],[7,1,6,1,5,1,6,1,7,-1]]],[[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,
2,-1,4,1],[3,3,5,1,3,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,
4,1],[3,2],[5,1,6,-1,5,1,3,1,5,1,6,1]]],[[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,
1],[1,1,4,1],[1,1,5,-1,4,1,1,1,4,-1,5,1]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,
1],[1,1,4,1],[5,2,4,2,1,1,5,-1]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[4,1,
1,1],[4,2,1,1,4,1,5,-2,4,-1]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[1,1,4,
1],[4,1,1,1],[1,1,4,-2,6,-1,5,2,6,1]]],[[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,
1,2,1,4,-1,2,-1,4,1],[3,2],[6,1,5,1,6,-1,5,1,6,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,
1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[5,1,6,-1,5,1,3,1,5,1,6,-1]],[[2,1,1,1,2,
-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[3,1,5,1],[7,1,6,-2,7,
-1]]],[[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[4,1,1,1,4,-1,1,1,4,-3]],[[1,1,
2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[1,1,4,1],[4,1,5,1,4,1,1,1,4,2,5,1]],[[1,1,2,
1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[1,1,4,1],[4,1,1,1],[5,1,4,1,6,-1,5,2,6,
1]]],[[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[6,1,5,
1,6,-1,5,1,6,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,
2],[5,1,6,1],[6,1,7,2]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,
4,1],[3,2],[3,1,5,1],[6,1,7,1,6,-1,7,-1,5,1]]],[[[2,1,1,1,2,-1,1,1,2,1],[2,1,
1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,1,5,1],[6,1,3,-1,5,1,6,1,3,-1]],[[2,1,1,1,2,
-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[6,1,5,1,6,-2,5,1,6,
-1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[3,1,5,
1],[5,1,6,1,7,1,6,-1,7,-1]]],[[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,
2,-1,4,1],[3,2],[6,-2,5,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,
-1,4,1],[3,2],[6,1,5,1,3,1,5,1,6,1]]],[[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[2,
-1,1,1,2,1],[4,1,5,1],[6,1,4,-2,6,-1,5,1]],[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,
-2],[2,-1,1,1,2,1],[4,2],[4,1,5,1],[6,-1,7,-1,5,1,7,1,6,-1]]],[[[2,1,1,1,2,-1,
1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[6,1,5,1,6,-1,5,1,6,1]],[[2,
1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[3,1,5,1],[6,1,7,
1,6,-1,7,-1,5,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[
3,2],[3,1,5,1],[7,2,6,1,5,1,6,1]]],[[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,
1,4,-1,2,-1,4,1],[3,2],[6,1,5,1,6,-1,5,1,6,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,
1],[1,1,2,1,4,-1,2,-1,4,1],[3,1,5,1],[3,2,5,1,3,1,6,-2,5,1]],[[2,1,1,1,2,-1,1,
1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[3,1,5,1],[7,1,6,-1,7,-1,6,-1,
5,1]]],[[[2,1,1,1,2,-1,1,1,2,1],[3,-4]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,
1,2,1,4,-1,2,-1,4,1],[3,2],[3,1,5,1],[5,1,7,1,6,-1,5,1,6,1,7,-1]],[[2,1,1,1,2,
-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,1,5,1],[5,1,3,-1,5,1,6,1,3,
-3,6,-1]]],[[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[
6,1,5,1,6,-1,5,1,6,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,
1],[3,2],[3,1,5,1],[7,1,6,-2,7,-1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,
1,4,-1,2,-1,4,1],[3,2],[3,1,5,1],[5,1,7,1,6,-1,5,1,6,1,7,-1]]],[[[1,1,2,1],[2,
1,1,1],[3,1,2,1,4,-1,3,1,4,-2],[5,-1,2,-1,1,1,2,1,5,3]],[[1,1,2,1],[2,1,1,1],[
3,1,2,1,4,-1,3,1,4,-2],[2,-1,1,1,2,1],[6,1,5,-1,6,1,5,3,6,1]],[[1,1,2,1],[2,1,
1,1],[3,1,2,1,4,-1,3,1,4,-2],[2,-1,1,1,2,1],[5,2],[5,1,6,1,5,-1,6,1,7,1,6,1,7,
1]]],[[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[5,1,3,-1,5,1,
3,1,5,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[5,
1,6,1],[6,1,7,2]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[
3,2],[3,1,5,1],[5,1,7,1,6,-1,7,-1,6,-1]]],[[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,
-2],[4,-1,2,-1,1,1,2,1,4,1]],[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[2,-1,1,1,2,
1],[5,1,4,1],[4,2,6,2,5,1,4,-1]],[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[2,-1,1,
1,2,1],[4,2],[4,1,5,1],[6,-1,7,-1,5,1,7,1,6,-1]],[[1,1,2,1],[1,1,2,-2,1,1,2,
-1,3,-2],[2,-1,1,1,2,1],[4,2],[4,1,5,1],[5,1,7,2,6,1,5,1,6,-1]]],[[[1,1,2,1],[
1,1,2,-2,1,1,2,-1,3,-2],[4,2],[5,1,2,-1,1,1,2,1,5,-1]],[[1,1,2,1],[1,1,2,-2,1,
1,2,-1,3,-2],[2,-1,1,1,2,1],[5,1,4,-3,5,1]],[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,
-2],[2,-1,1,1,2,1],[4,2],[4,1,5,1],[6,1,7,2,6,1,5,1,6,1]]],[[[2,1,1,1,2,-1,1,
1,2,1],[1,1,2,1],[4,1,2,1,1,1,2,-1,4,-1],[3,1,5,1],[6,1,3,1,6,-2]],[[2,1,1,1,
2,-1,1,1,2,1],[1,1,2,1],[4,1,2,1,1,1,2,-1,4,-1],[3,1,5,1],[5,1,3,2,6,2,3,
1]]],[[[2,1,1,1,2,-1,1,1,2,1],[3,-4]],[[2,1,1,1,2,-1,1,1,2,1],[1,1,2,1],[4,1,
2,1,1,1,2,-1,4,-1],[5,1,3,-1,5,1],[6,1,3,2,6,1,3,1,5,1]]],[[[2,1,1,1,2,-1,1,1,
2,1],[1,1,2,1],[4,1,2,1,1,1,2,-1,4,-1],[3,1,5,1],[6,2,3,2,6,1]],[[2,1,1,1,2,
-1,1,1,2,1],[1,1,2,1],[4,1,2,1,1,1,2,-1,4,-1],[3,2],[5,1,6,1],[6,1,7,1,6,1,7,
1]]],[[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[5,1,6,
1],[7,1,5,1,3,-1,7,-1,6,-1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,
2,-1,4,1],[3,2],[3,1,5,1],[5,1,7,1,6,-1,7,-1,6,-1]]],[[[1,1,2,1],[2,1,1,1],[3,
1,2,1,4,-1,3,1,4,-2],[5,1,2,-1,1,1,2,1],[6,2,5,2,6,1]],[[1,1,2,1],[2,1,1,1],[
3,1,2,1,4,-1,3,1,4,-2],[2,-1,1,1,2,1],[5,1,6,1],[6,1,7,3,5,2]]],[[[1,1,2,1],[
1,1,2,-2,1,1,2,-1,3,-2],[4,-1,2,-1,1,1,2,1,4,1]],[[1,1,2,1],[1,1,2,-2,1,1,2,
-1,3,-2],[2,-1,1,1,2,1],[4,2],[6,1,5,1,4,-1,6,-1,5,1,6,-1]],[[1,1,2,1],[1,1,2,
-2,1,1,2,-1,3,-2],[2,-1,1,1,2,1],[4,1,5,1],[5,1,4,-1,5,1,6,2,4,2,5,1]]],[[[2,
1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[6,1,5,1,6,1,5,1,
6,-1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,1,5,1,3,
-2,5,1,3,1,5,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,
2],[5,1,6,1,5,1,3,1,5,1,6,1]]],[[[2,1,1,1,2,-1,1,1,2,1],[3,-4]],[[2,1,1,1,2,
-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[3,1,5,1],[7,1,6,-2,7,
-1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[3,1,5,
1],[5,1,7,1,6,1,5,1,6,1,7,-1]]],[[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,
-1,2,-1,4,1],[3,2],[6,1,5,1,6,-1,5,1,6,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[
1,1,2,1,4,-1,2,-1,4,1],[3,2],[3,1,5,1],[5,1,7,1,6,-1,5,1,6,1,7,-1]],[[2,1,1,1,
2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,1,5,1],[5,1,3,-1,5,1,6,1,3,
-3,6,-1]]],[[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[4,-3]],[[1,1,2,1],[1,1,2,-2,
1,1,2,-1,3,-2],[2,-1,1,1,2,1],[5,1,4,2,5,1,4,-2,5,1]],[[1,1,2,1],[1,1,2,-2,1,
1,2,-1,3,-2],[2,-1,1,1,2,1],[4,2],[4,1,5,1],[7,1,6,1,5,1,6,-1,7,-1]],[[1,1,2,
1],[1,1,2,-2,1,1,2,-1,3,-2],[2,-1,1,1,2,1],[4,1,5,1],[5,1,4,-1,5,1,6,2,4,2,5,
1]]],[[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,-1,5,1,3,
1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[6,1,5,1,
6,-2,5,1,6,-1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,
1,5,1],[6,1,3,3,5,1,3,1,6,-1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,
-1,2,-1,4,1],[3,2],[5,1,3,-1,6,-1,5,1,6,1,3,1,5,1]]],[[[2,1,1,1,2,-1,1,1,2,
1],[3,-4]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[6,
1,5,1,3,-1,5,1,6,1]]],[[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[4,-1,2,-1,1,1,2,1,
4,1]],[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[2,-1,1,1,2,1],[4,2],[6,1,5,1,4,-1,
6,-1,5,1,6,-1]],[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[4,1,2,-1,1,1,2,1],[4,2,5,
1],[5,1,6,2,5,1]],[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[2,-1,1,1,2,1],[4,2],[4,
1,5,1],[6,1,7,2,6,1,5,1,6,1]]],[[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,
-1,2,-1,4,1],[3,2],[6,1,5,1,6,1,5,1,6,-1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[
1,1,2,1,4,-1,2,-1,4,1],[3,2],[3,1,5,1],[7,1,6,-2,7,-1]],[[2,1,1,1,2,-1,1,1,2,
1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[3,1,5,1],[5,1,7,1,6,1,5,1,6,1,7,
-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,1,4,-2],[2,-1,1,1,2,1],[5,1,6,1,5,
2,6,1,5,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,1,4,-2],[2,-1,1,1,2,1],[5,1,
6,1],[5,3,7,-1,6,1,5,1,7,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,1,4,-2],[2,
-1,1,1,2,1],[5,1,6,1],[6,1,5,1,7,2,5,2,6,1]]],[[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,
1],[1,1,2,1,4,-1,2,-1,4,1],[5,1,3,2,5,1,3,-2,5,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,
1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[6,1,5,1,3,1,6,1,5,1,3,-1,5,1]],[[2,1,1,
1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[3,1,5,1,6,-1,5,1,6,1,
5,1,3,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,1,5,
1],[3,3],[6,1,7,1,6,1,7,1]]],[[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,
2,-1,4,1],[3,2],[6,1,5,1,6,-1,5,1,6,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,
1,2,1,4,-1,2,-1,4,1],[3,2],[3,1,5,1],[7,2,6,1,5,1,6,1]],[[2,1,1,1,2,-1,1,1,2,
1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[3,1,5,1],[5,1,7,1,6,1,5,1,6,-1,7,
-1]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-1],[4,1,1,1,4,1,1,1,4,-3]],[[1,1,2,1],[2,1,
3,2,1,1,2,-1],[1,1,4,1],[4,1,1,1],[1,1,4,-2,6,-1,5,2,6,1]]],[[[2,1,1,1,2,1],[
2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[3,1,5,1],[7,2,6,-1,5,1,6,-1]],[[2,1,1,
1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[5,1,3,1,5,1,6,-1,5,1,6,
2]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-1],[1,1,4,1],[4,2,1,1,5,-1,4,2,5,1]],[[1,1,2,
1],[2,1,3,2,1,1,2,-1],[1,1,4,1],[4,1,1,1,5,-3,4,2,1,1]]],[[[2,1,1,1,2,1],[2,1,
1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,1,5,1],[5,1,3,-1,5,1,6,2,3,1]],[[2,1,1,1,2,
1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[3,1,5,1],[7,2,6,-2,5,1]]],[[[2,1,
1,1,2,-1,1,1,2,1],[3,2]],[[2,1,1,1,2,-1,1,1,2,1],[1,1,2,1],[4,1,2,1,1,1,2,-1,
4,-1],[3,1,5,1],[5,1,6,1,3,-3,6,-1]]],[[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,
1],[4,2,1,1,4,-1,1,1,4,-1]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[1,1,4,1],[
1,1,4,-1,5,1,1,1,4,-1,5,-2]]],[[[2,1,1,1,2,-1,1,1,2,1],[1,1,2,1],[4,1,2,1,1,1,
2,-1,4,-1],[3,1,5,1],[6,2,3,2]],[[2,1,1,1,2,-1,1,1,2,1],[1,1,2,1],[4,1,2,1,1,
1,2,-1,4,-1],[3,2],[5,1,3,-1,5,1,6,1,3,1,5,1,6,1,3,1]]],[[[1,1,2,1],[2,1,3,2,
1,1,2,-1],[1,1,4,1],[4,1,1,1],[6,1,4,1,5,2,4,1,6,1,5,-1,6,1]],[[1,1,2,1],[2,1,
3,2,1,1,2,-1],[1,1,4,1],[4,1,1,1],[1,1,4,-1,5,-1,6,2,5,2,4,1]]],[[[1,1,2,1],[
2,1,1,1,3,-1,2,-1,3,2,2,1],[4,1,1,1],[1,1,4,3,5,-2,4,-1]],[[1,1,2,1],[2,1,1,1,
3,-1,2,-1,3,2,2,1],[1,1,4,1],[5,1,4,1,5,1,4,1,1,1,4,2]]],[[[1,1,2,1],[2,1,1,1,
3,-1,2,-1,3,2,2,1],[1,1,4,1],[5,1,4,1,5,1,1,1,5,-1,4,1,1,1]],[[1,1,2,1],[2,1,
1,1,3,-1,2,-1,3,2,2,1],[1,1,4,-3,1,1,4,3,1,1]]],[[[1,1,2,1],[2,1,3,2,1,1,2,
-1],[4,1,1,1,4,-1]],[[1,1,2,1],[2,1,3,2,1,1,2,-1],[4,2,1,1,4,-1,1,1,4,-1]],[[
1,1,2,1],[2,1,3,2,1,1,2,-1],[1,1,4,1],[1,1,4,-2,5,1,1,1,4,-1,5,-2]]],[[[1,1,2,
1],[2,1,3,2,1,1,2,-1],[4,2],[5,1,4,1,1,1,4,-1,1,1,5,-1]],[[1,1,2,1],[2,1,3,2,
1,1,2,-1],[1,1,4,1],[4,1,1,1],[1,1,4,-1,5,1,6,1,5,1,4,1,6,2]]],[[[1,1,2,1],[2,
1,1,1,3,-1,2,-1,3,2,2,1],[1,1,4,-2,1,1,4,2,1,1]],[[1,1,2,1],[2,1,1,1,3,-1,2,
-1,3,2,2,1],[4,1,1,1],[4,1,5,2,4,1,1,1,4,1]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,
2,2,1],[1,1,4,1],[4,1,5,2,1,1,4,1,1,1]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-1],[4,
-5]],[[1,1,2,1],[2,1,3,2,1,1,2,-1],[1,1,4,1],[5,2,1,1,4,-1,1,1,4,-1,5,1]]],[[[
2,1,1,1,2,-1,1,1,2,1],[1,1,2,1],[4,1,2,1,1,1,2,-1,4,-1],[5,1,3,-4,5,1]],[[2,1,
1,1,2,-1,1,1,2,1],[1,1,2,1],[4,1,2,1,1,1,2,-1,4,-1],[3,2],[3,1,5,1],[6,-2,5,1,
7,2]]],[[[1,1,2,1],[2,1,1,1],[2,2,4,1,2,1,1,1,3,-2,2,-1,4,-1]],[[1,1,2,1],[2,
1,1,1],[4,1,2,-1,3,-2,4,1,2,1,3,2],[5,2],[5,-1,6,-2]],[[1,1,2,1],[2,1,1,1],[4,
1,2,-1,3,-2,4,1,2,1,3,2],[1,1,2,1],[2,1,1,1],[2,2,7,1,2,1,1,1,6,-2,2,-1,7,
-1],[5,2],[9,1,8,-1,9,-1,8,1,9,1]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-1],[1,1,4,1],[
1,1,4,-2,5,1,4,1,5,1]],[[1,1,2,1],[2,1,3,2,1,1,2,-1],[4,2],[4,1,1,1,5,-2,4,-1,
1,1]]],[[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[1,1,4,-1,1,1,4,-1,1,1]],[[1,1,
2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[4,2],[5,1,1,1,4,-1,1,1,4,1,5,1]],[[1,1,2,
1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[1,1,4,1],[4,1,5,1,4,1,1,1,4,2,5,1]]],[[[2,1,1,
1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,1,5,1,3,-1,5,1]],[[2,1,1,
1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[6,1,3,1,5,1,3,-1,6,
-1,5,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[6,1,
5,1,6,-2,5,1,6,-1]]],[[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[4,1,1,1],[1,1,4,
-1,1,1,4,2,5,2]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[1,1,4,1],[4,1,5,1],[
6,1,5,1,4,1,1,1,6,-1]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[1,1,4,1],[5,1,
4,3,1,1,4,-1,5,1]]],[[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[4,1,1,1],[1,1,4,
-1,1,1,4,2,5,2]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[4,1,1,1],[5,1,4,-2,1,
1,4,2,5,-1]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[1,1,4,1],[5,1,4,3,1,1,4,
-1,5,1]]],[[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[1,1,4,1],[4,2,1,1],[6,1,5,
-1,6,1,5,-1]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[1,1,4,1],[4,1,1,1],[5,2,
6,-1,5,-1,6,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,1,4,-2],[2,-1,1,1,
2,1],[5,2],[7,1,5,1,6,1,5,-1,7,-1,6,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,
1,4,-2],[2,-1,1,1,2,1],[5,1,6,1],[6,1,5,-1,6,1,7,2,5,-2]]],[[[2,1,1,1,2,-1,1,
1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[6,1,5,1,3,1,5,1,6,1,5,1]],[[2,
1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[6,1,3,1,5,1,6,-1,
5,1,3,-1]]],[[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[4,1,1,1],[1,1,4,-2,5,-3,
4,-1]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[1,1,4,1],[4,1,1,1],[6,1,4,-1,5,
-2,6,2,5,-1]]],[[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[4,-1,1,1,4,1]],[[1,1,
2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[4,1,1,1],[4,1,5,3,4,-2,1,1]]],[[[1,1,2,1],[
2,1,1,1,3,-1,2,-1,3,2,2,1],[4,-1,1,1,4,1]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,
2,1],[1,1,4,1],[1,1,4,-1,5,1,4,2,1,1,5,-1]]],[[[2,-1,1,1,2,1]],[[1,1,2,1],[2,
1,1,1],[3,1,2,1,4,-1,3,1,4,-2],[2,-1,1,1,2,1],[5,1,6,1],[7,2,5,-1,6,1,5,
-2]]],[[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[6,-2,
5,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,1,5,1],[6,
1,3,2,5,1,6,1]]],[[[2,1,1,1,2,-1,1,1,2,1],[1,1,2,1],[4,1,2,1,1,1,2,-1,4,-1],[
3,2],[3,1,5,1],[6,1,7,-1,5,1,7,1,6,1]],[[2,1,1,1,2,-1,1,1,2,1],[1,1,2,1],[4,1,
2,1,1,1,2,-1,4,-1],[3,2],[3,1,5,1],[5,1,6,1,7,2,6,1,3,1]]],[[[2,1,1,1,2,-1,1,
1,2,1],[1,1,2,1],[4,1,2,1,1,1,2,-1,4,-1],[3,2],[6,1,5,1,3,-1,5,1,6,1,5,1,6,
1]],[[2,1,1,1,2,-1,1,1,2,1],[1,1,2,1],[4,1,2,1,1,1,2,-1,4,-1],[3,2],[3,1,5,1,
6,1,3,1,5,1,3,-1,5,1,6,1]]],[[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[2,-1,1,1,2,
1],[5,1,4,2,5,1]],[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[2,-1,1,1,2,1],[4,1,5,
1],[4,-3,6,-3,5,1]]],[[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[4,1,1,1],[4,1,5,
3,4,-2,1,1]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[1,1,4,1],[1,1,4,-1,5,1,4,
2,1,1,5,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,
1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[5,1,3,-1,5,1,3,1,5,1,3,3]]],[[[1,1,2,1],[1,1,
2,-2,1,1,2,-1,3,-2],[2,-1,1,1,2,1],[4,2],[6,1,5,1,6,-1,5,1,6,-1]],[[1,1,2,1],[
1,1,2,-2,1,1,2,-1,3,-2],[2,-1,1,1,2,1],[4,1,5,1],[5,1,6,-2,5,1,6,1,4,2]]],[[[
2,-1,1,1,2,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,1,4,-2],[2,-1,1,1,2,1],[5,
2],[5,1,6,1,7,1,5,1,6,1,7,1]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-1],[4,1,1,1,4,1,1,
1,4,-1,1,1,4,-1]],[[1,1,2,1],[2,1,3,2,1,1,2,-1],[4,1,1,1],[4,3,5,2]]],[[[2,1,
1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,1,5,1,3,-1]],[[2,1,1,1,2,1],[2,
1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,1,5,1],[5,1,3,1,6,2,3,2,5,1]]],[[[1,1,2,1],[
1,1,2,-2,1,1,2,-1,3,-2],[4,1,2,-1,1,1,2,1],[4,2,5,1],[6,1,5,1,6,1]],[[1,1,2,
1],[1,1,2,-2,1,1,2,-1,3,-2],[2,-1,1,1,2,1],[4,1,5,1],[5,1,4,-1,5,1,6,2,4,
-2]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-1],[1,1,4,1],[4,2],[6,1,5,1,6,1,5,1]],[[1,1,
2,1],[2,1,3,2,1,1,2,-1],[4,1,1,1],[4,1,5,1,4,-1,1,1,4,2,5,-1]]],[[[1,1,2,1],[
2,1,3,2,1,1,2,-1],[1,1,4,-1,1,1,4,3]],[[1,1,2,1],[2,1,3,2,1,1,2,-1],[1,1,4,
1],[4,1,1,1],[4,1,6,2,5,-2,4,-1]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-1],[1,1,4,1],[
4,1,1,1],[5,2,6,-2,4,-1]],[[1,1,2,1],[2,1,3,2,1,1,2,-1],[1,1,4,1],[4,1,1,1],[
6,1,5,-2,4,1,6,2]]],[[[2,1,1,1,2,1],[3,2],[3,1,4,2]],[[2,1,1,1,2,1],[2,1,1,
1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[5,1,3,1,5,1],[7,1,6,1,7,1,6,1]]],[[[1,1,2,
1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[1,1,4,-4,1,1]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,
3,2,2,1],[4,1,1,1,4,-3,1,1,4,-1]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-1],[1,1,4,1],[
4,1,5,1],[5,1,6,1,4,1,1,1,6,-1]],[[1,1,2,1],[2,1,3,2,1,1,2,-1],[1,1,4,1],[4,1,
1,1],[1,1,4,-2,6,-1,5,2,6,1]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-1],[4,-1,1,1,4,
1]],[[1,1,2,1],[2,1,3,2,1,1,2,-1],[1,1,4,1],[4,1,1,1],[4,1,6,1,5,1,6,1,5,-1,4,
-1]]],[[[2,1,1,1],[2,1,3,-1,2,-1,1,1,2,1,3,2],[2,-1,1,1,2,1],[4,2,5,1,4,-2,5,
1]],[[2,1,1,1],[2,1,3,-1,2,-1,1,1,2,1,3,2],[2,-1,1,1,2,1],[5,1,4,-1,5,1,4,1,5,
1,4,2,5,1]]],[[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[4,2,2,-1,1,1,2,1]],[[1,1,2,
1],[1,1,2,-2,1,1,2,-1,3,-2],[2,-1,1,1,2,1],[4,1,5,1,4,1,5,1,4,-1,5,1,4,
2]]],[[[2,1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2,5,1,3,-1,5,1,3,
1]],[[2,1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,1,5,1],[5,1,6,3,3,
1]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-1],[1,1,4,1],[5,1,1,1,4,1,1,1,4,1,5,1]],[[1,
1,2,1],[2,1,3,2,1,1,2,-1],[4,1,1,1],[4,1,5,3,4,-2,1,1]]],[[[2,1,1,1,2,-1,1,1,
2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[5,1,3,1,5,1,3,-1]],[[2,1,1,1,2,-1,1,1,
2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[5,1,6,1],[7,1,6,1,7,1]]],[[[1,1,
2,1],[2,1,3,2,1,1,2,-1],[1,1,4,-1,1,1,4,1,1,1]],[[1,1,2,1],[2,1,3,2,1,1,2,
-1],[1,1,4,1],[4,1,1,1],[5,1,1,1,6,2,5,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,-1,
3,-2,4,1,2,1,3,2],[1,1,2,1],[2,1,1,1],[2,2,7,1,2,1,1,1,6,-2,2,-1,7,-1],[5,1,8,
1,5,-2]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,2,1,3,2],[1,1,2,1],[2,1,1,
1],[2,2,7,1,2,1,1,1,6,-2,2,-1,7,-1],[5,-1,8,1,5,2]]],[[[1,1,2,1],[2,1,1,1,3,
-1,2,-1,3,2,2,1],[1,1,4,1],[4,1,1,1],[6,1,5,-2,6,2]],[[1,1,2,1],[2,1,1,1,3,-1,
2,-1,3,2,2,1],[1,1,4,1],[4,1,1,1],[1,1,5,-1,6,1,4,1,6,-1,5,1]]],[[[1,1,2,1],[
2,1,3,2,1,1,2,-1],[1,1,4,1],[4,1,1,1,4,-1],[6,1,5,1,6,1,5,-1]],[[1,1,2,1],[2,
1,3,2,1,1,2,-1],[1,1,4,1],[4,1,1,1],[4,1,6,2,5,-2,4,-1]]],[[[2,1,1,1,2,-1,1,1,
2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,-1,5,1,3,1]],[[2,1,1,1,2,-1,1,1,2,
1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,1,5,1],[5,1,6,1,3,-2,6,1]],[[2,1,1,1,
2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[6,1,3,1,5,1,3,-1,6,
-1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[5,1,6,
-1,5,1,3,1,5,1,6,-1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,
1],[3,2],[6,1,5,1,6,-2,5,1,6,-1]]],[[[2,1,1,1,2,-1,1,1,2,1],[3,-4]],[[2,1,1,1,
2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[5,1,3,-4,5,1]],[[2,1,1,1,2,
-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[5,1,3,-3,5,1,3,-1,5,1]],[[2,1,
1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[3,1,5,1],[7,1,6,-2,
7,-1]]],[[[2,1,1,1,2,-1,1,1,2,1],[3,-4]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,
1,2,1,4,-1,2,-1,4,1],[3,2],[6,1,5,1,6,1,5,1,6,-1]],[[2,1,1,1,2,-1,1,1,2,1],[2,
1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[3,1,5,1],[7,1,6,-2,7,-1]],[[2,1,1,1,2,
-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[3,1,5,1],[7,1,6,-1,5,1,6,
1,7,-1,5,1]]],[[[2,1,1,1,2,-1,1,1,2,1],[3,-4]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,
1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[6,1,5,1,6,1,5,1,6,-1]],[[2,1,1,1,2,-1,1,1,2,
1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[3,1,5,1],[5,1,7,1,6,-1,5,1,6,1,7,
-1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,1,5,1],[5,1,
3,-1,5,1,6,1,3,-3,6,-1]]],[[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[2,-1,1,1,2,
1],[4,1,5,1],[6,1,4,-2,6,-1,5,1]],[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[2,-1,1,
1,2,1],[5,1,4,1],[4,2,6,2,5,1,4,-1]],[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[2,
-1,1,1,2,1],[4,2],[4,1,5,1],[6,-1,7,-1,5,1,7,1,6,-1]]],[[[2,1,1,1,2,-1,1,1,2,
1],[3,-4]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[6,
1,5,1,6,-1,5,1,6,-1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,
1],[3,2],[5,1,6,-1,5,1,3,-1,5,1,6,-1]]],[[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,
1,2,1,4,-1,2,-1,4,1],[3,2],[5,1,6,-1,5,1,3,1,5,1,6,-1]],[[2,1,1,1,2,-1,1,1,2,
1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[5,1,6,1,5,1,3,1,5,1,6,1]],[[2,1,1,
1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,1,5,1],[3,2,5,1,3,1,6,-2,
5,1]]],[[[2,1,1,1,2,-1,1,1,2,1],[3,-4]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,
1,2,1,4,-1,2,-1,4,1],[3,2],[6,1,5,1,3,-1,5,1,6,-1]],[[2,1,1,1,2,-1,1,1,2,1],[
2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,1,5,1],[5,1,3,1,6,2,3,2,5,1]]],[[[1,1,2,
1],[1,1,2,-2,1,1,2,-1,3,-2],[4,2],[5,-1,2,-1,1,1,2,1,5,1]],[[1,1,2,1],[1,1,2,
-2,1,1,2,-1,3,-2],[2,-1,1,1,2,1],[5,1,4,2,5,1,4,-1,5,1,4,1]],[[1,1,2,1],[1,1,
2,-2,1,1,2,-1,3,-2],[2,-1,1,1,2,1],[4,1,5,1],[5,1,6,1,4,2,6,1,4,-1,5,1]]],[[[
1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[4,1,1,1,4,-1,1,1,4,-3]],[[1,1,2,1],[2,1,
1,1,3,-1,2,-1,3,2,2,1],[1,1,4,1],[4,1,5,1],[6,1,4,1,1,1,6,1,5,1]],[[1,1,2,1],[
2,1,1,1,3,-1,2,-1,3,2,2,1],[1,1,4,1],[4,1,5,1,4,1,1,1,4,2,5,1]]],[[[2,1,1,1,2,
-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,-1,5,1,3,1]],[[2,1,1,1,2,-1,
1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[5,1,6,1],[6,1,7,2]],[[2,1,1,
1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[5,1,6,-1,5,1,3,1,5,1,
6,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,
1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[6,1,5,1,6,1,5,1,6,-1]],[[2,1,1,1,2,-1,1,1,2,
1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,1,5,1],[5,1,3,-1,5,1,6,1,3,-3,6,
-1]]],[[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[6,1,5,
1,6,-1,5,1,6,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,
1,5,1],[6,1,3,-1,5,1,6,1,3,-1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,
-1,2,-1,4,1],[3,2],[5,1,6,1],[6,1,7,2]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,
1,2,1,4,-1,2,-1,4,1],[3,2],[3,1,5,1],[5,1,6,1,7,1,6,-1,7,-1]]],[[[2,1,1,1,2,
-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[6,-2,5,1]],[[2,1,1,1,2,
-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[6,1,5,1,6,-1,5,1,6,1]],[[
2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,1,5,1],[5,1,3,-1,5,
1,6,1,3,-3,6,-1]]],[[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[2,-1,1,1,2,1],[4,1,5,
1],[6,1,4,-2,6,-1,5,1]],[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[2,-1,1,1,2,1],[4,
2],[6,1,5,1,4,-1,6,-1,5,1,6,-1]],[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[2,-1,1,
1,2,1],[4,2],[4,1,5,1],[6,-1,7,-1,5,1,7,1,6,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[3,1,
5,1],[7,1,6,-2,7,-1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,
1],[3,2],[3,1,5,1],[7,1,6,1,5,1,6,1,7,-1]]],[[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,
1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[6,-2,5,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,
1],[1,1,2,1,4,-1,2,-1,4,1],[3,1,5,1],[5,1,6,1,3,-2,6,-1]]],[[[1,1,2,1],[2,1,1,
1],[3,1,2,1,4,-1,3,1,4,-2],[2,-1,1,1,2,1],[6,1,5,2,6,1,5,-2]],[[1,1,2,1],[2,1,
1,1],[3,1,2,1,4,-1,3,1,4,-2],[2,-1,1,1,2,1],[5,1,6,1],[7,3,5,-1,6,1]]],[[[2,1,
1,1,2,-1,1,1,2,1],[3,-4]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,
-1,4,1],[3,2],[6,1,5,1,3,2,5,1,6,-1,5,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[
1,1,2,1,4,-1,2,-1,4,1],[3,1,5,1],[5,1,3,-1,5,1,6,1,3,-3,6,-1]]],[[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1]],[[2,1,1,1,2,-1,1,1,2,1],[3,-4]],[[2,1,1,1,2,-1,1,1,2,
1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,1,5,1],[6,1,3,3,5,1,3,-1,5,1,6,
1]]],[[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,3,5,1,3,
1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,1,5,1],[6,1,
3,-1,5,1,6,1,3,-1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,
1],[3,2],[6,1,5,1,6,-2,5,1,6,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,1,4,
-2],[5,2],[6,1,2,-1,1,1,2,1,6,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,1,4,
-2],[5,1,2,-1,1,1,2,1],[6,1,5,2,6,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,
1,4,-2],[5,2],[6,1,2,-1,1,1,2,1,6,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,1,
4,-2],[2,-1,1,1,2,1],[6,1,5,2],[7,2,6,1,5,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,
1,4,-1,3,1,4,-2],[2,-1,1,1,2,1],[5,2,6,1,5,-1,6,1,5,1]],[[1,1,2,1],[2,1,1,1],[
3,1,2,1,4,-1,3,1,4,-2],[2,-1,1,1,2,1],[5,1,6,1,5,2,6,1,5,1]],[[1,1,2,1],[2,1,
1,1],[3,1,2,1,4,-1,3,1,4,-2],[2,-1,1,1,2,1],[5,1,6,1],[7,1,5,-1,6,1,7,1,5,
-1]]],[[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[2,-1,1,1,2,1],[4,1,5,1,4,-1,5,1,4,
-2]],[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[2,-1,1,1,2,1],[4,2],[6,-1,5,1,6,1,5,
1,6,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-2,3,-2],[5,2],[6,2,2,-1,1,1,2,1,6,
-2]],[[1,1,2,1],[2,1,1,1],[2,1,4,-2,3,-2],[2,-1,1,1,2,1],[5,2],[6,1,7,2,6,1,5,
-1,6,1]]],[[[2,1,1,1],[2,1,3,-1,2,-1,1,1,2,1,3,2],[4,2],[4,-1,2,-1,1,1,2,1,5,
2]],[[2,1,1,1],[2,1,3,-1,2,-1,1,1,2,1,3,2],[2,-1,1,1,2,1],[4,2],[5,1,4,1,6,1,
5,1,6,-1]]],[[[2,1,1,1,2,1],[3,2],[3,1,4,2]],[[2,1,1,1,2,1],[2,1,1,1],[1,1,2,
1,4,-1,2,-1,4,1],[5,1,3,1],[5,1,6,-1,3,2,6,1]]],[[[1,1,2,1],[2,1,3,2,1,1,2,
-1],[1,1,4,-1],[5,1,1,1,4,-2,1,1,4,1,5,-1]],[[1,1,2,1],[2,1,3,2,1,1,2,-1],[1,
1,4,1],[4,2,5,1,4,1,1,1,5,-1,4,-1]]],[[[2,1,1,1,2,-1,1,1,2,1],[1,1,2,1],[4,1,
2,1,1,1,2,-1,4,-1],[3,1,5,1],[6,2,3,2]],[[2,1,1,1,2,-1,1,1,2,1],[1,1,2,1],[4,
1,2,1,1,1,2,-1,4,-1],[3,1,5,1],[6,1,3,-2,5,1,3,-1,5,1,6,1]],[[2,1,1,1,2,-1,1,
1,2,1],[1,1,2,1],[4,1,2,1,1,1,2,-1,4,-1],[3,2],[5,1,3,-1,5,1,6,1,3,1,5,1,6,1,
3,1]]],[[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[1,1,4,1],[4,1,5,3,4,1]],[[1,1,
2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[1,1,4,1],[5,1,1,1,4,1,1,1,4,1,5,1]],[[1,1,2,
1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[1,1,4,1],[4,3,1,1,4,-1,5,-2]]],[[[1,1,2,1],[2,
1,1,1],[1,1,2,-1,4,-1,3,-1,2,-1,3,-1,2,-2,4,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[2,
2],[5,1,4,-2,3,-1,2,1,1,1,4,1,3,-1,2,-1,3,-1,5,1]]],[[[1,1,2,1],[2,1,3,2,1,1,
2,-1],[4,1,1,1],[1,1,4,1,5,1,4,1,5,2]],[[1,1,2,1],[2,1,3,2,1,1,2,-1],[4,1,1,
1],[4,2,1,1,4,1,5,-2,4,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1,1,1,
2,-1,1,1,2,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,
2],[6,-2,5,1,3,-1,6,-1]]],[[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[4,-1,2,-1,1,1,
2,1,4,1]],[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[2,-1,1,1,2,1],[4,1,5,1,4,-1,5,
1,4,2]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,1,4,-2],[5,2],[6,1,2,-1,1,1,2,
1,6,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,1,4,-2],[2,-1,1,1,2,1],[6,1,5,
-1,6,1,5,2,6,1]]],[[[2,1,1,1,2,-1,1,1,2,1],[1,1,2,1],[4,1,2,1,1,1,2,-1,4,-1],[
3,2],[6,1,5,1,6,-1]],[[2,1,1,1,2,-1,1,1,2,1],[1,1,2,1],[4,1,2,1,1,1,2,-1,4,
-1],[5,1,3,1],[5,1,6,-1,3,2,6,1]]],[[[2,1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,
-1,4,1],[3,1,5,1,3,1]],[[2,1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[5,1,
3,-2,5,1,3,2,5,1]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-1],[1,1,4,-2,1,1,4,1,1,1,4,1,
1,1]],[[1,1,2,1],[2,1,3,2,1,1,2,-1],[4,1,1,1],[4,1,5,3,4,-1,1,1,4,-1]]],[[[1,
1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[1,1,4,1],[4,2,1,1,5,-2,4,-2]],[[1,1,2,1],[
2,1,1,1,3,-1,2,-1,3,2,2,1],[1,1,4,1],[4,1,1,1],[5,1,6,-1,4,-1,5,2,6,-1]]],[[[
1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[1,1,4,-4,1,1]],[[1,1,2,1],[2,1,1,1,3,-1,
2,-1,3,2,2,1],[1,1,4,1],[4,1,1,1,4,-2,5,2,4,1]]],[[[2,-1,1,1,2,1]],[[1,1,2,
1],[2,1,1,1],[3,1,2,1,4,-1,3,1,4,-2],[2,-1,1,1,2,1],[5,1,6,1],[7,1,5,-2,6,1,7,
1,5,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,1,4,-2],[2,-1,1,1,2,1],[5,2],[5,
1,6,1],[8,1,7,1,6,1,7,-1,8,-1]]],[[[2,1,1,1,2,-1,1,1,2,1],[3,-4]],[[2,1,1,1,2,
-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,1,5,1,3,-1,5,1,3,1]]],[[[1,1,
2,1],[1,1,2,-2,1,1,2,-1,3,-2],[4,-1,2,-1,1,1,2,1,4,1]],[[1,1,2,1],[1,1,2,-2,1,
1,2,-1,3,-2],[2,-1,1,1,2,1],[4,2],[6,1,5,1,4,-1,5,1,6,1,4,1]]],[[[2,1,1,1,2,
-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,1,5,1,3,-1,5,1]],[[2,1,1,1,2,
-1,1,1,2,1],[3,-4]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,
1],[5,1,3,-3,5,1,3,-1]]],[[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,
-1,4,1],[5,1,3,1],[6,1,3,2,6,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,
-1,2,-1,4,1],[3,1,5,1],[6,1,3,2,6,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,
2,1,4,-1,2,-1,4,1],[3,2],[5,1,6,1],[6,1,7,2]]],[[[2,-1,1,1,2,1]],[[1,1,2,1],[
2,1,1,1],[3,1,2,1,4,-1,3,1,4,-2],[2,-1,1,1,2,1],[5,2],[7,2,6,1,7,1,6,1,7,
1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,1,4,-2],[2,-1,1,1,2,1],[5,2],[6,1,5,
-1,6,1],[8,1,7,1,8,1,7,1]]],[[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,
2,-1,4,1],[5,1,3,1,5,1,3,-1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,
2,-1,4,1],[3,2],[6,-2,5,1]]],[[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,
2,-1,4,1],[3,2],[5,1,3,-1,6,-1,5,1,3,1,6,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,
1],[1,1,2,1,4,-1,2,-1,4,1],[5,1,3,1],[6,1,3,1,5,1,3,2,6,1]]],[[[2,1,1,1,2,-1,
1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[5,1,3,1,5,1,3,-1]],[[2,1,1,1,2,-1,
1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[5,1,3,-1,5,1,6,-1,5,1,6,
1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,1,4,-2],[2,-1,1,1,2,1],[6,1,5,2],[
7,2,6,1,5,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,1,4,-2],[2,-1,1,1,2,1],[5,
2],[6,1,7,-1,6,1,5,-1,7,-1,6,1]]],[[[2,-1,1,1,2,1]],[[1,1,2,1],[2,1,1,1],[3,1,
2,1,4,-1,3,1,4,-2],[2,-1,1,1,2,1],[5,2],[5,1,6,1],[8,1,7,1,6,1,7,-1,8,-1]],[[
1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,1,4,-2],[2,-1,1,1,2,1],[5,2],[6,1,5,1,6,
1],[8,1,7,-1,8,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,1,4,-2],[2,-1,1,
1,2,1],[5,2,6,1,5,-1,6,1,5,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,1,4,-2],[
2,-1,1,1,2,1],[6,1,5,2,6,1,5,2]]],[[[2,-1,1,1,2,1]],[[1,1,2,1],[1,1,2,-2,1,1,
2,-1,3,-2],[2,-1,1,1,2,1],[4,2],[6,1,5,1,6,1,5,1,4,1,5,1,6,1]]],[[[2,1,1,1,2,
-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[5,1,3,-3,5,1,3,-1]],[[2,1,1,1,
2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[5,1,3,-1,5,1,3,-3]]],[[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,
2,-1,4,1],[3,2],[6,1,5,1,6,-1,5,1,6,-1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,
1,2,1,4,-1,2,-1,4,1],[3,1,5,1],[6,2,3,2,5,1,3,1]]],[[[1,1,2,1],[2,1,1,1,3,-1,
2,-1,3,2,2,1],[1,1,4,1],[4,1,5,2,1,1,4,-2,5,-1]],[[1,1,2,1],[2,1,1,1,3,-1,2,
-1,3,2,2,1],[1,1,4,1],[5,2,4,1,1,1,4,-1,5,-2]]],[[[2,1,1,1,2,-1,1,1,2,1],[2,1,
1,1],[1,1,2,1,4,-1,2,-1,4,1],[5,1,3,-1,5,1,3,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,
1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,1,5,1,3,2,5,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,
1,2,1,4,-1,3,1,4,-2],[2,-1,1,1,2,1],[6,1,5,2,6,1,5,1,6,1,5,-1]],[[1,1,2,1],[2,
1,1,1],[3,1,2,1,4,-1,3,1,4,-2],[2,-1,1,1,2,1],[5,2],[6,1,7,1,5,1,6,1,7,1,6,
1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,-1,1,-1,2,-1,4,1]],[[2,1,1,1,
2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,1,5,1],[6,1,3,2,5,1,6,1,3,1]]],[[[1,
1,2,1],[2,1,3,2,1,1,2,-1],[1,1,4,-5,1,1]],[[1,1,2,1],[2,1,3,2,1,1,2,-1],[1,1,
4,1],[4,2,5,3,1,1,4,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,1,1,2,-1,1,
1,2,1,4,1],[4,1,5,2]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,
1],[3,2],[6,1,3,1,5,1,6,-2]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-1],[4,-1,1,1,4,
1]],[[1,1,2,1],[2,1,3,2,1,1,2,-1],[1,1,4,1,1,1,4,1,1,1,4,2]]],[[[2,1,1,1,2,
1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,-1,5,1,3,1]],[[2,1,1,1,2,1],[2,1,1,
1],[1,1,2,1,4,-1,2,-1,4,1],[5,1,3,1,5,1,3,1,5,1,3,2]]],[[[1,1,2,1],[2,1,3,2,1,
1,2,-1],[4,-5]],[[1,1,2,1],[2,1,3,2,1,1,2,-1],[1,1,4,1],[1,1,4,-2,5,-1,4,-1,5,
-1]]],[[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,-1,5,1,3,
-2]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,1,5,1],[6,1,
3,-2,6,-2]]],[[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[5,1,
3,1,5,1,3,-1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[5,1,
3,3]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-1],[4,1,1,1],[5,1,1,1,4,1,5,-1,4,-1]],[[1,
1,2,1],[2,1,3,2,1,1,2,-1],[1,1,4,1],[4,1,1,1],[5,1,1,1,6,2,5,-2]]],[[[1,1,2,
1],[2,1,1,1],[2,2,4,1,2,1,1,1,3,-2,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,
3,-2,4,1,2,1,3,2],[1,1,2,1],[2,1,1,1],[2,2,7,1,2,1,1,1,6,-2,2,-1,7,-1],[5,-1,
8,1,5,2]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-1],[1,1,4,1],[5,1,1,1,4,1,1,1,5,-2]],[[
1,1,2,1],[2,1,3,2,1,1,2,-1],[1,1,4,1],[5,1,4,2,1,1,4,-2,5,-1]],[[1,1,2,1],[2,
1,3,2,1,1,2,-1],[1,1,4,1],[4,1,1,1],[1,1,4,-2,6,-1,5,2,6,1]]],[[[1,1,2,1],[2,
1,3,2,1,1,2,-1],[4,1,1,1],[1,1,4,-1,5,-2,4,-2]],[[1,1,2,1],[2,1,3,2,1,1,2,
-1],[1,1,4,1],[4,1,1,1],[6,1,5,-2,4,1,6,2]]],[[[2,1,1,1,2,-1,1,1,2,1],[3,
-4]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[5,1,6,
1],[6,1,7,2]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,
2],[5,1,6,1,5,1,3,1,5,1,6,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,
2,-1,4,1],[3,2],[3,1,5,1],[7,1,6,-2,7,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1]],[[2,1,1,1,2,-1,1,1,2,1],[3,-4]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,
1,4,-1,2,-1,4,1],[3,2],[6,1,5,1,3,-1,5,1,6,1]]],[[[2,1,1,1,2,-1,1,1,2,1],[3,
-4]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[6,1,5,1,
3,-1,5,1,6,-1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,
2],[3,1,5,1],[7,1,6,-2,7,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,1,4,-2],[
2,-1,1,1,2,1],[5,2,6,1,5,-2,6,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,1,4,
-2],[2,-1,1,1,2,1],[5,1,6,1],[6,1,5,1,7,-3]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,
-1,3,1,4,-2],[2,-1,1,1,2,1],[5,1,6,1],[5,2,6,1,7,2,5,1]]],[[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1]],[[2,1,1,1,2,-1,1,1,2,1],[3,-4]],[[2,1,1,1,2,-1,1,1,2,1],[2,
1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[5,1,6,1],[6,1,7,2]],[[2,1,1,1,2,-1,1,1,
2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,1,5,1],[5,1,3,-1,5,1,6,1,3,-3,6,
-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[
1,1,2,1,4,-1,2,-1,4,1],[3,2],[6,1,5,1,6,-1,5,1,6,1]],[[2,1,1,1,2,-1,1,1,2,1],[
2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[3,1,5,1],[7,1,6,-2,7,-1]],[[2,1,1,1,2,
-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[3,1,5,1],[7,1,6,-1,5,1,6,
1,7,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,1,4,-2],[2,-1,1,1,2,1],[6,1,5,
2,6,1,5,-2]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,1,4,-2],[5,1,2,-1,1,1,2,1],[
5,2,6,2,5,1]]],[[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[4,-1,1,1,4,1]],[[1,1,
2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[4,2],[5,1,4,2,5,1]],[[1,1,2,1],[2,1,1,1,3,
-1,2,-1,3,2,2,1],[4,1,1,1],[5,1,4,-1,1,1,5,1,4,-1]]],[[[1,1,2,1],[1,1,2,-2,1,
1,2,-1,3,-2],[4,2,2,-1,1,1,2,1,4,-1]],[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[2,
-1,1,1,2,1],[5,1,4,2,5,1,4,1]]],[[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[1,1,
4,1],[4,2,1,1,5,1,4,2,5,1]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[4,1,1,1],[
4,1,5,1],[6,1,4,-1,1,1,6,1,5,1]]],[[[1,1,2,1],[2,2],[1,1,2,-1,3,-1,4,-1,1,1,2,
-1,3,-1,2,-1,3,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[5,1,3,1,4,-1,2,-1,4,-1,3,
1,1,1,4,1,5,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[3,-1,2,1,1,1,5,-1,3,1,2,1,4,-2,5,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,2,1,3,2],[1,1,2,1],[2,1,1,1],[2,
2,7,1,2,1,1,1,6,-2,2,-1,7,-1],[8,-1,5,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,
-2,4,1,2,1,3,2],[1,1,2,1],[2,1,1,1],[2,2,7,1,2,1,1,1,6,-2,2,-1,7,-1],[5,-1,8,
-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,-1,1,-1,2,1,1,-1,2,-1,4,1]],[[2,
1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[6,1,5,1,6,-1,5,1,
6,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1,1,1,2,-1,1,1,2,1]],[[2,1,
1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,1,5,1],[6,1,3,2,6,
-1]]],[[[2,1,1,1,2,-1,1,1,2,1],[3,-4]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,
2,1,4,-1,2,-1,4,1],[5,1,3,-1,5,1,3,-2,5,1]]],[[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,
-2],[4,-1,2,-1,1,1,2,1,4,1]],[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[2,-1,1,1,2,
1],[4,2],[5,1,6,-1,5,1,4,-1,6,-1]]],[[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[
1,1,4,1],[5,1,1,1,4,1,1,1,4,1,5,1]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[1,
1,4,1],[4,1,5,1,1,1,4,-1,1,1,4,-1,5,1]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-1],[4,-1,
1,1,4,1]],[[1,1,2,1],[2,1,3,2,1,1,2,-1],[1,1,4,1],[4,1,1,1,5,-2,4,1,5,1]]],[[[
2,1,1,1,2,-1,1,1,2,1],[1,1,2,1],[4,1,2,1,1,1,2,-1,4,-1],[3,1,5,1,3,-1]],[[2,1,
1,1,2,-1,1,1,2,1],[1,1,2,1],[4,1,2,1,1,1,2,-1,4,-1],[3,2],[5,1,3,1,5,1,6,-2,5,
1,6,1]]],[[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[4,-1,1,1,4,1]],[[1,1,2,1],[
2,1,1,1,3,-1,2,-1,3,2,2,1],[4,1,1,1],[5,2,4,2]]],[[[1,1,2,1],[2,1,3,2,1,1,2,
-1],[1,1,4,1],[5,1,4,1,1,1,4,-1,5,-1]],[[1,1,2,1],[2,1,3,2,1,1,2,-1],[1,1,4,
1],[4,2,1,1,5,-1,4,-1,5,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-2,3,-2],[2,-1,1,1,
2,1],[6,1,5,-1,6,1,5,3]],[[1,1,2,1],[2,1,1,1],[2,1,4,-2,3,-2],[2,-1,1,1,2,1],[
6,1,5,1,6,1],[7,1,5,2,7,1]]],[[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[4,1,2,-1,1,
1,2,1,4,-1]],[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[2,-1,1,1,2,1,4,1],[5,1,4,2,
5,1]]],[[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[4,1,1,1],[5,1,4,-1,1,1,5,1,4,
-1]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[1,1,4,1],[4,1,1,1,4,-2,5,2,4,
1]]],[[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[1,1,4,-4,1,1]],[[1,1,2,1],[2,1,
1,1,3,-1,2,-1,3,2,2,1],[1,1,4,1],[4,1,5,3,4,1]]],[[[1,1,2,1],[2,1,1,1,3,-1,2,
-1,3,2,2,1],[4,1,1,1,4,1],[4,1,1,1,5,-2]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,
1],[1,1,4,1],[4,1,1,1,4,-2,5,2,4,1]]],[[[2,-1,1,1,2,1]],[[1,1,2,1],[2,1,1,1],[
3,1,2,1,4,-1,3,1,4,-2],[2,-1,1,1,2,1],[5,1,6,1],[7,1,5,-2,6,1,7,1,5,1]],[[1,1,
2,1],[2,1,1,1],[3,1,2,1,4,-1,3,1,4,-2],[2,-1,1,1,2,1],[5,2],[7,1,5,1,6,1,5,-1,
6,1,7,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,
1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[6,1,5,1,6,-1,5,1,3,1]]],[[[1,1,2,1],[1,1,
2,-2,1,1,2,-1,3,-2],[2,-1,1,1,2,1],[5,1,4,-2,5,1,4,-1]],[[1,1,2,1],[1,1,2,-2,
1,1,2,-1,3,-2],[2,-1,1,1,2,1],[4,1,5,1],[5,1,6,1,4,2,6,2]]],[[[1,1,2,1],[2,1,
1,1,3,-1,2,-1,3,2,2,1],[1,1,4,1],[4,1,5,1,4,1,1,1,4,-1,5,1]],[[1,1,2,1],[2,1,
1,1,3,-1,2,-1,3,2,2,1],[4,1,1,1],[5,1,4,-2,1,1,4,2,5,-1]]],[[[2,1,1,1,2,-1,1,
1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,1,5,1,3,3]],[[2,1,1,1,2,-1,1,1,2,
1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[6,1,5,1,6,1,5,1,3,1]]],[[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,
-1,4,1],[3,1,5,1,3,-1]],[[2,1,1,1,2,-1,1,1,2,1],[3,-4]]],[[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1]],[[2,1,1,1,2,-1,1,1,2,1],[3,-4]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,
1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,1,5,1,3,-1,5,1,3,1]]],[[[1,1,2,1],[1,1,2,-2,1,
1,2,-1,3,-2],[2,-1,1,1,2,1],[5,1,4,-1,5,1,4,1]],[[1,1,2,1],[1,1,2,-2,1,1,2,-1,
3,-2],[4,1,2,-1,1,1,2,1],[5,1,4,2,5,-1]]],[[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[
1,1,2,1,4,-1,2,-1,4,1],[5,1,3,1],[6,2,3,2]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,
1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[5,1,3,-1,5,1,6,1,5,1,6,1]]],[[[2,1,1,1,2,-1,
1,1,2,1],[1,1,2,1],[4,1,2,1,1,1,2,-1,4,-1],[5,1,3,2,5,1,3,1]],[[2,1,1,1,2,-1,
1,1,2,1],[1,1,2,1],[4,1,2,1,1,1,2,-1,4,-1],[3,2],[3,1,5,1],[6,1,7,-1,5,1,7,1,
6,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,1,4,-2],[2,-1,1,1,2,1],[5,2,6,1,
5,-1,6,1,5,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,1,4,-2],[2,-1,1,1,2,1],[6,
1,5,1,6,1,5,1,6,1,5,2]]],[[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,
-1,4,1],[3,1,5,1,3,-1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,
4,1],[3,-1,5,1,3,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,
1],[3,2],[5,1,6,-2]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,1,4,-2],[5,2,2,-1,
1,1,2,1,5,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,1,4,-2],[2,-1,1,1,2,1],[6,
1,5,2,6,1,5,-1,6,1,5,-1]]],[[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,
-1,4,1],[3,1,5,1,3,-1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,
4,1],[3,2,5,1,3,1]]],[[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,
1],[3,-1,5,1,3,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[
3,2],[6,-2,5,1,6,1]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-1],[1,1,4,1],[4,2],[6,1,5,1,
6,1,5,1]],[[1,1,2,1],[2,1,3,2,1,1,2,-1],[4,1,1,1],[4,1,5,1,4,-1,1,1,4,2,5,
-1]],[[1,1,2,1],[2,1,3,2,1,1,2,-1],[1,1,4,1],[5,2,4,1,1,1,4,-1,5,-2]]],[[[1,1,
2,1],[2,1,3,2,1,1,2,-1],[4,1,1,1,4,-2,1,1,4,2]],[[1,1,2,1],[2,1,3,2,1,1,2,
-1],[1,1,4,1],[5,2,4,1,1,1,4,-1,5,-2]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-1],[4,1,1,
1],[5,1,1,1,4,1,5,-1,4,-1]],[[1,1,2,1],[2,1,3,2,1,1,2,-1],[4,1,1,1],[4,1,1,1,
4,1,5,3]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,
1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[6,1,5,1,3,1,5,1,6,1]],[[2,1,1,1,2,-1,1,1,
2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[3,1,5,1],[7,1,6,-2,7,-1]]],[[[1,
1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[4,-1,1,1,4,1]],[[1,1,2,1],[2,1,1,1,3,-1,2,
-1,3,2,2,1],[4,2],[5,1,4,1,1,1,5,1]]],[[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,
1],[4,1,1,1],[5,1,4,-1,1,1,5,1,4,-1]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[
1,1,4,1],[1,1,4,-1,5,1,4,2,1,1,5,-1]]],[[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,
1],[4,-1,1,1,4,1]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[1,1,4,-4,1,1]],[[1,
1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[1,1,4,1],[4,1,5,2,1,1,4,1,1,1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,2,1,3,2],[1,1,2,1],[2,1,1,1],[2,2,7,1,2,1,1,1,
6,-2,2,-1,7,-1],[8,1,5,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,2,1,3,2],[
1,1,2,1],[2,1,1,1],[2,2,7,1,2,1,1,1,6,-2,2,-1,7,-1],[8,1,5,1]]],[[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[2,-1,1,-1,2,1,1,-1,2,-1,4,1]],[[2,1,1,1,2,-1,1,1,2,
1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[6,1,5,1,3,1,5,1,6,-1]]],[[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1,1,1,2,-1,1,1,2,1]],[[2,1,1,1,2,-1,1,1,2,
1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,1,5,1,3,3,5,1,3,-1]]],[[[2,1,1,1,2,-1,
1,1,2,1],[3,2]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[5,
1,3,-1,5,1,3,-2,5,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-2,3,-2],[2,-1,1,1,2,1,5,
1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-2,3,-2],[2,-1,1,1,2,1],[6,1,5,-1,6,1,5,
2]]],[[[2,-1,1,-1,2,-1]],[[2,1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[5,
1,3,2,5,1,3,-2,5,1]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-1],[4,1,1,1],[5,1,1,1,4,1,5,
-1,4,-1]],[[1,1,2,1],[2,1,3,2,1,1,2,-1],[4,1,1,1],[5,1,4,-1,1,1,4,1,5,2]]],[[[
1,1,2,1],[2,1,3,2,1,1,2,-1],[4,-5]],[[1,1,2,1],[2,1,3,2,1,1,2,-1],[4,1,1,1],[
1,1,4,1,5,-1,4,-3,5,-1]]],[[[1,1]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[4,
-1,1,1,4,1]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[4,1,1,1],[5,2,4,2]]],[[[
2,1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[5,1,3,-2,5,1,3,2,5,1]],[[2,1,
1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[6,1,5,1],[6,1,7,1,6,1,7,
1]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-1],[4,1,1,1],[5,1,1,1,4,1,5,-1,4,-1]],[[1,1,
2,1],[2,1,3,2,1,1,2,-1],[1,1,4,1],[1,1,4,-2,5,-1,4,1,5,2]]],[[[2,1,1,1,2,-1,1,
1,2,1],[1,1,2,1],[4,1,2,1,1,1,2,-1,4,-1],[5,1,3,-1,5,1,3,1,5,1]],[[2,1,1,1,2,
-1,1,1,2,1],[1,1,2,1],[4,1,2,1,1,1,2,-1,4,-1],[3,1,5,1],[5,1,3,1,6,2,3,-2,5,
1]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-1],[1,1,4,1],[1,1,4,-1,5,2,4,1]],[[1,1,2,1],[
2,1,3,2,1,1,2,-1],[1,1,4,1],[4,1,5,1,1,1,4,-1,5,-1,4,2,1,1]]],[[[1,1,2,1],[2,
1,1,1],[2,1,4,-2,3,-2],[5,1,2,-1,1,1,2,1,5,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,
-2,3,-2],[5,2,2,-1,1,1,2,1,5,1]]],[[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[4,
1,1,1],[5,1,4,-1,1,1,5,1,4,-1]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[1,1,4,
1],[4,1,5,2,1,1,4,-1,5,1]]],[[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[4,1,1,1,
4,1],[4,1,1,1,5,-2]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[1,1,4,1],[4,1,5,
3,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,1,4,-2],[5,-1,2,-1,1,1,2,1,5,
3]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,1,4,-2],[2,-1,1,1,2,1],[5,1,6,1],[7,
3,5,-1,6,1]]],[[[2,-1,1,1,2,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,1,4,-2],[
5,1,2,-1,1,1,2,1,5,2]]],[[[2,1,1,1,2,-1,1,1,2,1],[3,-4]],[[2,1,1,1,2,-1,1,1,2,
1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[5,1,3,1,5,1,3,-1]],[[2,1,1,1,2,-1,1,1,2,
1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[5,1,3,-1,5,1,3,1]]],[[[2,-1,1,1,2,1]],[[
1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[4,1,2,-1,1,1,2,1],[5,1,4,2,5,-1]],[[1,1,2,
1],[1,1,2,-2,1,1,2,-1,3,-2],[2,-1,1,1,2,1],[5,1,4,1],[4,2,6,2,5,1,4,-1]]],[[[
1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[2,-1,1,1,2,1],[4,1,5,1,4,2,5,1]],[[1,1,2,
1],[1,1,2,-2,1,1,2,-1,3,-2],[2,-1,1,1,2,1],[5,1,4,-1,5,1,4,1,5,1]],[[1,1,2,
1],[1,1,2,-2,1,1,2,-1,3,-2],[2,-1,1,1,2,1],[5,1,4,1],[6,1,5,1,4,-1,6,-1]]],[[[
1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[4,2,2,-1,1,1,2,1]],[[1,1,2,1],[1,1,2,-2,1,
1,2,-1,3,-2],[4,1,2,-1,1,1,2,1,4,-1]]],[[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[
4,1,2,-1,1,1,2,1,4,-1]],[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[2,-1,1,1,2,1],[5,
1,4,-2,5,1]],[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[4,2],[5,-1,2,-1,1,1,2,1,5,
1]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-1],[4,1,1,1],[5,1,1,1,4,1,5,-1,4,-1]],[[1,1,
2,1],[2,1,3,2,1,1,2,-1],[1,1,4,1],[4,1,1,1,4,-2,5,-2,4,-1]]],[[[1,1]],[[1,1,2,
1],[2,1,3,2,1,1,2,-1],[1,1,4,1],[1,1,4,-2,5,1,4,1,5,1]]],[[[1,1,2,1],[2,1,3,2,
1,1,2,-1],[4,2,1,1,4,1]],[[1,1,2,1],[2,1,3,2,1,1,2,-1],[4,1,1,1,4,-2,1,1,4,
2]]],[[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[4,2,2,-1,1,1,2,1,4,-1]],[[1,1,2,
1],[1,1,2,-2,1,1,2,-1,3,-2],[2,-1,1,1,2,1],[5,1,4,-1,5,1,4,1]]],[[[1,1,2,1],[
2,1,1,1],[4,1,2,-1,3,-2,4,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[2,2,4,1,2,1,1,1,3,
-2,2,-1,4,-1]]],[[[2,-1,1,-1,2,1,1,-1,2,-1]],[[2,1,1,1,2,-1,1,1,2,1],[2,1,1,
1],[1,1,2,1,4,-1,2,-1,4,1],[5,1,3,-1,5,1,3,-2,5,1]]],[[[1,1,2,1],[2,1,1,1],[3,
1,2,1,4,-1,3,1,4,-2],[2,-1,1,1,2,1,5,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,
3,1,4,-2],[5,-1,2,-1,1,1,2,1,5,3]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,1,4,
-2],[5,-1,2,-1,1,1,2,1,5,2]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,1,4,-2],[2,
-1,1,1,2,1],[5,1,6,1,5,-1,6,1,5,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,1,
4,-2],[5,1,2,-1,1,1,2,1,5,-2]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,1,4,-2],[
2,-1,1,1,2,1,5,3]]],[[[2,1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[
6,1,5,1,3,-1,5,1,6,1,3,1]],[[2,1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[
3,2],[3,1,5,1],[6,1,5,1,7,1,3,-1,6,-1,7,-1]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-1],[
4,1,1,1],[5,1,4,-1,1,1,4,1,5,2]],[[1,1,2,1],[2,1,3,2,1,1,2,-1],[1,1,4,1],[1,1,
4,-2,5,-1,4,1,5,2]]],[[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,-1,1,1,2,1,4,-1,3,
-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1],[4,1,6,1,3,1,5,-2,6,-1,3,-1,4,
-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,-1,1,1,2,1,4,-1,2,-1,3,-2]],[[1,
1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,4,1,2,-2,5,1,3,-2,2,-1,4,-1]]],[[[1,1,2,
1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[1,1,4,-2,1,1,4,2]],[[1,1,2,1],[2,1,1,1,3,-1,2,
-1,3,2,2,1],[1,1,4,1],[4,1,5,2,1,1,4,-1,5,1]]],[[[2,1,1,1],[1,1,2,-1],[4,1,3,
-2,2,-1,4,2,2,-1,1,1,2,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,1,2,2,4,-1,3,
-2]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,-2]],[[2,1,1,1],[2,1,3,1,2,-1,1,1],[4,1,
3,1,4,1,2,2]],[[2,1,1,1],[2,2,3,1,2,1,1,1,3,2,2,-1,1,1]]],[[[2,-1,1,1,2,1]],[[
1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,1,4,-2],[5,1,2,-1,1,1,2,1,5,3]],[[1,1,2,
1],[2,1,1,1],[3,1,2,1,4,-1,3,1,4,-2],[5,2],[6,1,2,-1,1,1,2,1,6,-1]]],[[[1,1,2,
1],[2,1,1,1],[3,1,2,1,4,-1,3,1,4,-2],[5,1,2,-1,1,1,2,1,5,2]],[[1,1,2,1],[2,1,
1,1],[3,1,2,1,4,-1,3,1,4,-2],[5,2],[6,1,2,-1,1,1,2,1,6,-1]]],[[[1,1,2,1],[1,1,
2,-2,1,1,2,-1,3,-2],[2,-1,1,1,2,1,4,-2]],[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[
4,-1,2,-1,1,1,2,1,4,2]]],[[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[2,-1,1,1,2,1],[
5,1,4,-1,5,1]],[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[4,-3]],[[1,1,2,1],[1,1,2,
-2,1,1,2,-1,3,-2],[4,1,2,-1,1,1,2,1,4,-1]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-1],[4,
1,1,1],[4,1,1,1,4,1,5,3]],[[1,1,2,1],[2,1,3,2,1,1,2,-1],[1,1,4,1],[4,1,1,1,4,
-2,5,-2,4,-1]]],[[[1,1]],[[1,1,2,1],[2,1,3,2,1,1,2,-1],[4,1,1,1],[1,1,4,-2,5,
-1,4,-2,5,-1]]],[[[2,1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[5,1,3,1],[
5,1,6,-1,3,2,6,1]],[[2,1,1,1,2,1],[2,1,1,1],[1,1,2,1,4,-1,2,-1,4,1],[3,2],[5,
1,6,1],[6,1,7,1,6,1,7,1]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-1],[4,1,1,1,4,-3,1,
1]],[[1,1,2,1],[2,1,3,2,1,1,2,-1],[4,1,1,1],[5,1,1,1,4,1,5,-1,4,-1]]],[[[2,1,
1,1],[1,1,2,-1],[4,1,3,-2,2,-1,1,1,2,1,3,2,4,-1]],[[1,1,2,1],[1,1,2,-1],[4,1,
1,1,2,-1,3,-2,2,-1,4,2,2,-1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,2,2,1,1,1,2,
2,3,2,4,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1,1,1,2,-1,1,1,2,
1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,1,1,2,-1,1,1,2,1,4,1]]],[[[1,
1]],[[1,1,2,1],[2,1,3,2,1,1,2,-1],[1,1,4,-1,1,1,4,4,1,1]]],[[[2,-1,1,1,2,
1]],[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,-2],[4,2]],[[1,1,2,1],[1,1,2,-2,1,1,2,-1,
3,-2],[4,-1,2,-1,1,1,2,1,4,1]]],[[[2,1,1,1,2,-1,1,1,2,1]],[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1]]],[[[2,1,1,1],[2,1,3,-1,2,-1,1,1,2,1,3,2]],[[2,-1,1,1,2,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-2,3,-2]],[[2,-1,1,1,2,1]]],[[[1,1,2,1],[2,
1,1,1],[3,1,2,1,4,-1,3,1,4,-2]],[[2,-1,1,1,2,1]]],[[[1,1,2,1],[1,1,2,-2,1,1,2,
-1,3,-2]],[[2,-1,1,1,2,1]]],[[[2,1,1,1,2,-1,1,1,2,1],[1,1,2,1],[4,1,2,1,1,1,2,
-1,4,-1],[5,1,3,2]],[[2,1,1,1,2,-1,1,1,2,1],[1,1,2,1],[4,1,2,1,1,1,2,-1,4,
-1],[3,1,5,1,3,1]]],[[[1,1]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[4,-2]],[[
1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[4,1,1,1,4,1]]],[[[1,1]],[[1,1,2,1],[2,1,
1,1,3,-1,2,-1,3,2,2,1]]],[[[2,1,1,1,2,-1,1,1,2,1]],[[1,1,2,1],[3,1,2,1,1,1,2,
-1,3,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1]],[[2,1,1,1,2,1],[3,2]]],[[[1,
1]],[[1,1,2,1],[2,1,3,2,1,1,2,-1],[4,2]]],[[[1,1]],[[1,1,2,1],[2,1,3,2,1,1,2,
-1]]],[[[2,1,1,1,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1]]],[[[2,1,1,1,2,1,1,
1,2,-1,1,1,2,-1]],[[1,1,2,1],[1,1,2,-2],[4,1,3,1,4,1,3,1]]],[[[1,1]],[[2,
1]]]]);ACLT( "HS",
"otherwords",[,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,
2,1,1,1,2,2,4,1,3,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,2,1,4,-2,3,-1,
2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[5,1,4,-2,3,-1,5,1,3,1,2,1,4,-2],[6,
2]]],,,,,[[[1,1,2,1],[3,2,2,1,3,1,1,1,2,-2],[4,6]],[[1,1,2,1],[2,1,1,1],[3,1,
4,2,3,-1,2,-2]]],[[[1,1,2,-2,1,1,2,1],[3,4]],[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,
-2,3,-1]]],,[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,2,-1,3,1,4,2,3,1,4,-1,2,-1,
5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,4,-2,5,1,3,-2,2,-1,4,
-1]]],,,[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,2,2,1,4,-1,3,1],[5,5]],[[1,1,2,
1],[3,3,2,1,3,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,4,2,3,-1],[5,
3]],[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,-2,3,-1]]],,,[[[1,1,2,1],[1,1,2,-1],[3,1,
2,1,3,1,1,1,2,-1,4,2,3,1],[5,3]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,2,
-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,3,1,4,1],[5,5]],[[1,1,2,1],[
2,1,1,1],[2,1,3,2,4,-2,3,-1]]]]);
AFLT( "HS","HS.2", [ 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, 34, 35, 36, 37, 38, 38,
39, 40, 41, 42, 43, 44, 45, 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, 96, 97, 98, 99, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108,
108, 109, 110, 111, 112, 113, 114, 114, 115, 115, 116, 117, 117, 118, 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, 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, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 204, 205,
205, 206, 207, 208, 209, 210, 210, 211, 211, 212, 213, 214, 214, 215, 216,
217, 218, 219, 220, 221, 222, 223, 223, 224, 225, 226, 227, 228, 229, 230,
230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244,
245, 246, 247, 248, 249, 250, 251, 252, 252, 253, 253, 254, 254, 255, 256,
257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 266, 267, 268, 269, 270,
271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285,
286, 287, 288, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299,
300, 301, 301, 302, 303, 304, 304, 305, 306, 307, 307, 308, 309, 309, 310,
311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 322, 323, 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, 349, 350, 351, 352,
353, 354, 355, 355, 356, 357, 358, 359, 360, 361, 362, 363, 363, 364, 365,
365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379,
380, 381, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 391, 392,
393, 394, 394, 395, 395, 396, 397, 398, 399, 400, 401, 402, 403, 403, 404,
405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419,
420, 421, 422, 423, 424, 425, 426, 426, 427, 427, 428, 428, 429, 430, 431,
432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446,
447, 448, 449, 450, 451, 451, 452, 453, 453, 454, 455, 456, 457, 458, 459,
460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 471, 472, 473,
474, 475, 476, 477, 478, 479, 480, 480, 481, 482, 483, 483, 484, 485, 486,
486, 487, 488, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 498,
499, 500, 501, 502, 503, 504, 505, 506, 506, 507, 507, 508, 509, 510, 511,
512, 513, 514, 515, 516, 517, 517, 518, 519, 520, 521, 522, 523, 523, 524,
525, 526, 527, 528, 529, 530, 530, 531, 531, 532, 533 ]
);
LIBTOM( "McL",
[[1],[1,2],[1,3],[1,4],[1,2,5],[1,2,6],[1,7],[1,8],[1,2,3,9],[1,2,4,10],[1,2,
4,11],[1,12],[1,2,5,13],[1,2,5,14],[1,2,6,15],[1,2,6,16],[1,2,5,6,17],[1,2,5,
6,18],[1,2,6,19],[1,3,4,20],[1,4,21],[1,3,4,22],[1,4,23],[1,3,24],[1,2,7,25],[
1,2,8,26],[1,27],[1,2,4,5,28],[1,2,4,5,29],[1,2,4,5,30],[1,2,3,6,9,31],[1,2,4,
6,10,32],[1,2,4,5,10,33],[1,2,4,5,10,11,34],[1,2,3,6,9,35],[1,2,12,36],[1,3,7,
37],[1,2,5,14,38],[1,2,5,13,39],[1,2,5,6,17,40],[1,2,5,6,16,17,41],[1,2,5,6,
15,17,18,42],[1,2,5,6,13,14,17,18,43],[1,2,5,6,14,17,44],[1,2,5,6,13,17,45],[
1,2,5,6,17,19,46],[1,2,6,15,16,19,47],[1,2,5,6,16,18,19,48],[1,2,4,11,21,49],[
1,2,4,11,23,50],[1,2,3,4,9,10,22,51],[1,2,4,10,11,21,52],[1,2,3,4,10,11,22,
53],[1,2,3,4,9,11,20,54],[1,2,6,7,25,55],[1,2,6,8,26,56],[1,4,12,57],[1,2,3,6,
9,15,58],[1,2,4,6,10,15,59],[1,2,4,6,10,15,60],[1,2,4,6,10,16,61],[1,2,3,6,9,
15,35,62],[1,2,4,5,10,13,28,63],[1,2,4,5,10,14,29,64],[1,2,4,5,6,11,18,29,
65],[1,2,4,5,6,11,18,28,66],[1,2,4,5,6,11,18,30,67],[1,2,3,6,9,16,31,35,68],[
1,2,3,6,9,19,35,69],[1,2,4,5,6,10,11,18,32,33,34,70],[1,7,8,71],[1,3,4,20,21,
72],[1,3,4,20,23,73],[1,3,4,20,21,22,74],[1,3,4,20,75],[1,3,4,20,76],[1,3,4,
20,77],[1,3,4,20,78],[1,3,4,20,24,79],[1,3,4,20,24,80],[1,3,4,20,24,81],[1,3,
4,20,24,82],[1,2,3,7,9,25,37,83],[1,2,5,6,13,14,15,17,18,42,43,84],[1,2,5,6,
13,14,17,18,38,43,44,85],[1,2,5,6,13,14,17,18,39,43,45,86],[1,2,5,6,13,14,17,
18,43,45,87],[1,2,5,6,13,14,17,18,43,44,88],[1,2,5,6,13,14,16,17,18,40,41,43,
44,45,89],[1,2,5,6,13,14,17,18,19,43,46,90],[1,2,5,6,15,17,18,19,40,42,46,
91],[1,2,5,6,15,16,17,18,19,41,42,46,47,48,92],[1,2,4,6,11,21,49,93],[1,2,4,6,
11,21,49,94],[1,2,4,6,11,23,50,95],[1,2,4,6,11,23,50,96],[1,2,4,6,11,23,50,
97],[1,2,4,5,10,11,21,34,49,52,98],[1,2,3,4,6,9,10,22,31,32,51,99],[1,2,4,5,
10,23,28,29,30,33,100],[1,2,3,4,6,9,10,22,31,35,51,101],[1,2,3,4,5,9,10,11,22,
33,34,51,53,102],[1,2,6,7,19,25,55,103],[1,2,4,10,12,36,57,104],[1,2,4,5,13,
29,30,39,105],[1,2,4,5,14,28,30,38,106],[1,2,4,5,10,13,28,33,39,63,107],[1,2,
4,5,10,14,29,33,38,64,108],[1,2,3,5,6,9,15,17,18,35,42,58,109],[1,2,4,5,6,10,
11,13,14,17,18,28,34,43,63,66,110],[1,2,4,5,6,10,11,13,14,17,18,29,34,43,64,
65,111],[1,2,3,6,9,15,16,19,31,47,58,112],[1,2,4,6,10,15,16,19,32,47,61,113],[
1,2,4,6,10,15,16,19,32,47,59,114],[1,2,4,6,10,15,16,19,32,47,60,115],[1,2,4,5,
6,10,14,17,29,32,44,64,116],[1,2,4,5,6,10,13,17,28,32,45,63,117],[1,2,4,5,6,
17,30,40,118],[1,2,4,5,6,10,16,17,33,41,61,119],[1,2,4,5,6,10,11,16,18,19,34,
48,61,120],[1,2,3,6,9,15,16,19,31,35,47,62,68,69,121],[1,2,7,8,25,26,71,122],[
1,2,3,4,9,11,20,54,75,123],[1,2,3,4,9,11,20,54,76,124],[1,2,3,4,9,11,20,54,77,
125],[1,2,3,4,9,11,20,54,78,126],[1,2,3,4,10,11,20,21,22,49,52,53,74,127],[1,
2,3,4,9,11,20,21,49,54,72,128],[1,2,3,4,9,11,20,23,50,54,73,129],[1,2,3,4,9,
10,11,20,21,22,51,52,53,54,74,130],[1,8,27,131],[1,2,5,12,13,132],[1,2,5,12,
14,133],[1,2,4,5,8,11,26,28,134],[1,2,4,5,8,11,26,29,135],[1,2,4,5,8,11,26,30,
136],[1,2,4,5,8,11,26,30,137],[1,2,3,6,7,9,25,35,37,55,83,138],[1,2,5,6,13,14,
16,17,18,38,39,40,41,43,44,45,85,86,89,139],[1,2,5,6,13,14,15,17,18,39,42,43,
45,84,86,87,140],[1,2,5,6,13,14,15,17,18,38,42,43,44,84,85,88,141],[1,2,5,6,
13,14,15,16,17,18,19,40,41,42,43,44,45,46,47,48,84,89,90,91,92,142],[1,2,5,6,
13,14,17,18,19,39,43,44,45,46,86,88,90,143],[1,2,5,6,13,14,17,18,19,38,43,44,
45,46,85,87,90,144],[1,2,5,6,13,14,16,17,18,40,41,43,44,45,87,88,89,145],[1,2,
4,6,11,19,21,49,94,146],[1,2,3,4,6,9,10,15,22,35,51,58,59,60,62,147],[1,2,4,5,
6,10,11,18,21,34,49,52,94,98,148],[1,2,3,4,5,6,9,10,11,18,22,31,32,33,34,51,
53,70,99,102,149],[1,2,4,6,11,16,21,49,93,94,150],[1,2,4,6,11,16,23,50,95,96,
97,151],[1,2,3,4,6,9,10,16,22,31,32,35,51,68,99,101,152],[1,2,3,4,6,9,10,19,
22,31,32,51,99,153],[1,2,4,5,6,10,11,18,23,28,29,30,32,33,34,50,65,66,67,70,
100,154],[1,2,5,8,14,38,155],[1,2,5,8,13,39,156],[1,3,4,20,21,22,72,74,157],[
1,3,4,20,21,23,72,73,75,76,77,78,158],[1,3,4,20,21,24,72,79,80,81,82,159],[1,
3,4,20,21,22,24,74,75,79,160],[1,3,4,20,21,22,24,74,76,79,161],[1,3,4,20,21,
22,24,74,78,79,162],[1,3,4,20,24,78,80,81,82,163],[1,3,4,20,24,75,80,81,82,
164],[1,3,4,20,24,76,80,81,82,165],[1,2,4,5,6,10,13,14,15,17,18,29,42,43,60,
64,84,166],[1,2,4,5,6,10,13,14,15,17,18,28,42,43,59,63,84,167],[1,2,3,5,6,9,
13,14,15,17,18,35,42,43,58,62,84,109,168],[1,2,4,5,6,10,13,14,17,18,28,30,38,
43,44,63,85,106,169],[1,2,4,5,6,10,13,14,17,18,29,30,39,43,45,64,86,105,170],[
1,2,4,5,6,11,13,14,17,18,29,30,39,43,45,65,67,86,105,171],[1,2,4,5,6,11,13,14,
17,18,28,30,38,43,44,66,67,85,106,172],[1,2,3,5,6,9,15,16,17,18,19,31,35,41,
42,46,47,48,58,68,92,109,112,173],[1,2,3,5,6,9,15,17,18,19,35,40,42,46,58,69,
91,109,174],[1,2,4,5,6,10,11,13,14,17,18,28,32,33,34,39,43,45,63,66,70,86,107,
110,117,175],[1,2,4,5,6,10,11,13,14,17,18,29,32,33,34,38,43,44,64,65,70,85,
108,111,116,176],[1,2,4,5,6,10,11,15,16,17,18,19,32,33,34,41,42,46,47,48,61,
70,92,113,119,120,177],[1,2,4,5,6,11,15,17,18,19,30,40,42,46,67,91,118,178],[
1,2,6,7,8,25,26,55,56,71,122,179],[1,2,3,4,5,10,11,20,21,22,34,49,52,53,74,98,
127,180],[1,2,3,4,6,9,11,20,21,31,49,54,72,93,128,181],[1,2,3,4,6,9,11,20,21,
31,49,54,72,94,128,182],[1,2,3,4,6,9,11,20,23,31,50,54,73,96,129,183],[1,2,3,
4,6,9,11,20,23,31,50,54,73,97,129,184],[1,2,3,4,6,10,11,20,21,22,32,49,52,53,
74,94,127,185],[1,2,3,4,5,9,10,11,20,21,22,33,34,49,51,52,53,54,74,98,102,127,
130,186],[1,2,3,4,6,9,11,20,21,35,49,54,72,93,128,187],[1,2,3,4,6,9,11,20,23,
35,50,54,73,95,129,188],[1,2,3,4,6,9,11,20,35,54,75,123,189],[1,2,3,4,6,9,11,
20,35,54,76,124,190],[1,2,3,4,6,9,11,20,35,54,77,125,191],[1,2,5,12,14,36,38,
133,192],[1,2,5,12,13,36,39,132,193],[1,2,3,6,7,9,15,25,31,55,58,194],[1,2,4,
6,7,10,16,25,32,55,61,195],[1,2,4,5,6,8,10,11,18,26,30,34,56,67,137,196],[1,2,
4,5,6,8,10,11,18,26,29,34,56,65,135,197],[1,2,4,5,6,8,10,11,18,26,28,34,56,66,
134,198],[1,2,3,6,7,9,19,25,35,37,55,69,83,103,138,199],[1,7,8,71,200],[1,2,5,
6,13,14,15,16,17,18,19,38,39,40,41,42,43,44,45,46,47,48,84,85,86,87,88,89,90,
91,92,139,140,141,142,143,144,145,201],[1,2,4,5,10,14,23,28,29,30,33,38,64,
100,106,108,202],[1,2,4,5,10,13,23,28,29,30,33,39,63,100,105,107,203],[1,2,4,
5,6,10,11,16,18,19,21,34,48,49,52,93,94,98,146,148,150,204],[1,2,3,4,5,6,9,10,
11,16,18,19,22,31,32,33,34,35,48,51,53,68,70,99,101,102,149,152,153,205],[1,2,
3,4,6,9,10,15,16,19,22,31,32,35,47,51,58,59,60,62,68,69,99,112,114,115,121,
147,206],[1,2,5,6,8,13,14,17,18,26,39,43,45,86,156,207],[1,2,5,6,8,13,14,17,
18,26,38,43,44,85,155,208],[1,2,3,4,9,10,11,20,21,22,49,51,52,53,54,72,74,127,
128,130,157,209],[1,2,3,4,9,11,20,21,23,49,50,54,72,73,75,76,77,78,123,124,
125,126,128,129,158,210],[1,2,3,4,9,10,11,20,21,22,24,51,52,53,54,74,78,79,
126,130,162,211],[1,2,3,4,9,10,11,20,21,22,24,51,52,53,54,74,75,79,123,130,
160,212],[1,2,3,4,9,10,11,20,21,22,24,51,52,53,54,74,76,79,124,130,161,213],[
1,2,4,5,6,11,12,18,28,29,57,65,66,214],[1,2,4,5,6,11,12,18,30,57,67,215],[1,2,
4,5,6,11,12,18,29,30,57,65,67,216],[1,2,4,5,6,11,12,18,28,30,57,66,67,217],[1,
2,4,5,10,12,13,28,57,63,132,218],[1,2,4,5,10,12,14,29,57,64,133,219],[1,2,4,5,
6,10,13,14,16,17,18,28,29,33,38,39,40,41,43,44,45,61,63,64,85,86,89,107,108,
119,139,220],[1,2,4,5,6,10,13,14,16,17,18,29,30,33,38,39,40,41,43,44,45,64,85,
86,89,105,108,139,170,221],[1,2,4,5,6,10,13,14,16,17,18,28,30,33,38,39,40,41,
43,44,45,63,85,86,89,106,107,139,169,222],[1,2,4,5,6,10,11,13,14,15,17,18,29,
34,39,42,43,45,60,64,65,84,86,87,111,140,166,223],[1,2,4,5,6,10,11,13,14,15,
17,18,28,34,38,42,43,44,59,63,66,84,85,88,110,141,167,224],[1,2,4,5,6,13,14,
16,17,18,28,29,30,38,39,40,41,43,44,45,85,86,89,105,106,118,139,225],[1,2,4,5,
6,10,11,13,14,15,17,18,29,30,34,39,42,43,45,64,65,67,84,86,87,105,111,140,170,
171,226],[1,2,4,5,6,10,11,13,14,15,17,18,28,30,34,38,42,43,44,63,66,67,84,85,
88,106,110,141,169,172,227],[1,2,4,5,6,10,13,14,15,16,17,18,19,28,32,40,41,42,
43,44,45,46,47,48,59,63,84,89,90,91,92,114,117,142,167,228],[1,2,4,5,6,10,13,
14,15,16,17,18,19,29,32,40,41,42,43,44,45,46,47,48,60,64,84,89,90,91,92,115,
116,142,166,229],[1,2,4,5,6,10,13,14,17,18,19,28,30,32,38,43,44,45,46,63,85,
87,90,106,117,144,169,230],[1,2,4,5,6,10,13,14,17,18,19,29,30,32,39,43,44,45,
46,64,86,88,90,105,116,143,170,231],[1,2,4,5,6,10,13,14,15,17,18,29,33,38,42,
43,44,60,64,84,85,88,108,141,166,232],[1,2,4,5,6,10,13,14,15,17,18,28,33,39,
42,43,45,59,63,84,86,87,107,140,167,233],[1,2,3,5,6,9,13,14,15,16,17,18,19,31,
35,40,41,42,43,44,45,46,47,48,58,62,68,69,84,89,90,91,92,109,112,121,142,168,
173,174,234],[1,2,3,4,6,9,11,15,20,35,54,62,76,124,190,235],[1,2,3,4,6,9,11,
15,20,35,54,62,75,123,189,236],[1,2,3,4,6,9,11,16,20,21,31,35,49,54,68,72,93,
94,128,150,181,182,187,237],[1,2,3,4,6,9,11,16,20,23,31,35,50,54,68,73,95,96,
97,129,151,183,184,188,238],[1,2,3,4,6,9,11,19,20,35,54,69,77,125,191,239],[1,
2,3,4,5,6,9,10,11,18,20,21,22,32,33,34,49,51,52,53,54,70,74,94,98,102,127,130,
148,180,185,186,240],[1,2,4,5,6,7,10,11,16,18,19,25,32,33,34,48,55,61,70,103,
120,195,241],[1,2,3,6,7,9,15,16,19,25,31,35,47,55,58,68,103,112,194,242],[1,3,
4,20,21,23,72,73,75,76,77,78,158,243],[1,3,4,20,21,22,23,24,72,73,74,75,76,77,
78,79,80,81,82,157,158,159,160,161,162,244],[1,3,4,20,21,23,24,72,73,75,76,77,
78,79,80,81,82,158,159,163,164,165,245],[1,2,7,8,25,26,71,122,200,246],[1,2,3,
4,5,6,9,10,13,14,15,17,18,22,28,29,35,42,43,51,58,59,60,62,63,64,84,109,147,
166,167,168,247],[1,2,4,5,6,10,11,13,14,17,18,23,28,29,30,32,33,34,38,43,44,
50,64,65,66,67,70,85,100,106,108,111,116,154,172,176,202,248],[1,2,4,5,6,10,
11,13,14,17,18,23,28,29,30,32,33,34,39,43,45,50,63,65,66,67,70,86,100,105,107,
110,117,154,171,175,203,249],[1,2,5,6,8,13,14,17,18,19,26,39,43,44,45,46,56,
86,88,90,143,156,207,250],[1,2,5,6,8,13,14,17,18,19,26,38,43,44,45,46,56,85,
87,90,144,155,208,251],[1,2,3,4,5,10,11,20,21,22,24,28,34,49,52,53,74,75,79,
98,127,160,180,252],[1,2,3,4,5,10,11,20,21,22,24,29,34,49,52,53,74,76,79,98,
127,161,180,253],[1,2,3,4,5,10,11,20,21,22,24,30,34,49,52,53,74,78,79,98,127,
162,180,254],[1,2,3,4,5,9,10,11,20,21,22,33,34,49,51,52,53,54,72,74,98,102,
127,128,130,157,180,186,209,255],[1,2,3,4,6,9,10,11,20,21,22,31,32,49,51,52,
53,54,72,74,94,99,127,128,130,157,182,185,209,256],[1,2,3,4,6,9,10,11,20,21,
22,31,35,49,51,52,53,54,72,74,93,101,127,128,130,157,181,187,209,257],[1,2,4,
5,6,10,11,12,13,14,17,18,28,29,34,36,43,57,63,64,65,66,104,110,111,214,258],[
1,2,4,6,10,12,15,16,19,32,36,47,57,59,61,104,113,114,259],[1,2,4,6,10,12,15,
16,19,32,36,47,57,60,61,104,113,115,260],[1,2,4,5,10,12,14,29,33,36,38,57,64,
104,108,133,192,219,261],[1,2,4,5,10,12,13,28,33,36,39,57,63,104,107,132,193,
218,262],[1,2,4,5,6,8,11,18,23,26,28,50,66,96,134,263],[1,2,4,5,6,8,11,18,23,
26,29,50,65,97,135,264],[1,2,4,5,6,8,11,18,23,26,29,30,50,65,67,97,135,136,
265],[1,2,4,5,6,8,11,18,23,26,28,30,50,66,67,96,134,136,266],[1,2,4,5,6,8,11,
18,23,26,30,50,67,95,137,267],[1,2,4,5,6,8,11,18,21,26,28,29,49,65,66,94,134,
135,268],[1,2,4,5,6,8,11,18,21,26,30,49,67,93,136,269],[1,2,3,4,6,7,9,10,15,
22,25,31,35,37,51,55,58,59,60,62,83,101,138,147,194,270],[1,3,7,8,37,71,200,
271],[1,2,4,5,6,10,11,13,14,15,16,17,18,19,28,32,33,34,38,39,40,41,42,43,44,
45,46,47,48,59,63,66,70,84,85,86,87,88,89,90,91,92,107,110,114,117,139,140,
141,142,143,144,145,167,175,201,224,228,233,272],[1,2,4,5,6,10,11,13,14,15,16,
17,18,19,29,32,33,34,38,39,40,41,42,43,44,45,46,47,48,60,64,65,70,84,85,86,87,
88,89,90,91,92,108,111,115,116,139,140,141,142,143,144,145,166,176,201,223,
229,232,273],[1,2,4,5,6,11,13,14,15,16,17,18,19,28,29,30,38,39,40,41,42,43,44,
45,46,47,48,65,66,67,84,85,86,87,88,89,90,91,92,105,106,118,139,140,141,142,
143,144,145,171,172,178,201,225,274],[1,2,4,5,6,10,11,13,14,15,16,17,18,19,28,
30,32,33,34,38,39,40,41,42,43,44,45,46,47,48,63,66,67,70,84,85,86,87,88,89,90,
91,92,106,107,110,117,139,140,141,142,143,144,145,169,172,175,201,222,227,230,
275],[1,2,4,5,6,10,11,13,14,15,16,17,18,19,29,30,32,33,34,38,39,40,41,42,43,
44,45,46,47,48,64,65,67,70,84,85,86,87,88,89,90,91,92,105,108,111,116,139,140,
141,142,143,144,145,170,171,176,201,221,226,231,276],[1,2,4,5,6,10,11,13,14,
15,16,17,18,19,28,29,32,33,34,38,39,40,41,42,43,44,45,46,47,48,61,63,64,65,66,
70,84,85,86,87,88,89,90,91,92,107,108,110,111,113,116,117,119,120,139,140,141,
142,143,144,145,175,176,177,201,220,277],[1,3,4,8,20,21,22,72,74,157,278],[1,
2,3,4,9,11,20,21,23,49,50,54,72,73,75,76,77,78,123,124,125,126,128,129,158,
210,243,279],[1,2,3,4,9,10,11,20,21,22,23,24,49,50,51,52,53,54,72,73,74,75,76,
77,78,79,80,81,82,123,124,125,126,127,128,129,130,157,158,159,160,161,162,209,
210,211,212,213,244,280],[1,2,6,7,8,25,26,55,56,71,122,179,200,246,281],[1,2,
3,4,5,6,9,10,13,14,15,16,17,18,19,22,28,29,31,32,35,40,41,42,43,44,45,46,47,
48,51,58,59,60,62,63,64,68,69,84,89,90,91,92,99,109,112,114,115,116,117,121,
142,147,166,167,168,173,174,206,228,229,234,247,282],[1,2,3,4,5,6,9,10,11,13,
14,15,17,18,22,28,29,33,34,35,38,42,43,44,51,53,58,59,60,62,63,64,66,84,85,88,
102,108,109,110,141,147,166,167,168,224,232,247,283],[1,2,3,4,5,6,9,10,11,13,
14,15,17,18,22,28,29,33,34,35,39,42,43,45,51,53,58,59,60,62,63,64,65,84,86,87,
102,107,109,111,140,147,166,167,168,223,233,247,284],[1,2,4,5,6,10,13,14,16,
17,18,23,28,29,30,33,38,39,40,41,43,44,45,61,63,64,85,86,89,100,105,106,107,
108,118,119,139,169,170,202,203,220,221,222,225,285],[1,2,4,5,6,10,11,13,14,
17,18,19,23,28,29,30,32,33,34,39,43,44,45,46,50,63,65,66,67,70,86,88,90,96,
100,105,107,110,117,143,154,171,175,203,249,286],[1,2,4,5,6,10,11,13,14,17,18,
19,23,28,29,30,32,33,34,38,43,44,45,46,50,64,65,66,67,70,85,87,90,97,100,106,
108,111,116,144,154,172,176,202,248,287],[1,2,3,4,6,9,10,11,19,20,21,22,31,32,
49,51,52,53,54,72,74,94,99,127,128,130,146,153,157,182,185,209,256,288],[1,2,
3,4,5,6,9,10,11,18,20,21,22,31,32,33,34,49,51,52,53,54,70,72,74,94,98,99,102,
127,128,130,148,149,157,180,182,185,186,209,240,255,256,289],[1,2,3,4,6,9,10,
11,16,20,21,22,31,32,35,49,51,52,53,54,68,72,74,93,94,99,101,127,128,130,150,
152,157,181,182,185,187,209,237,256,257,290],[1,2,3,4,5,6,9,10,11,18,20,21,22,
24,29,32,33,34,49,51,52,53,54,65,70,74,76,79,94,98,102,124,127,130,148,161,
180,185,186,213,240,253,291],[1,2,3,4,5,6,9,10,11,18,20,21,22,24,28,32,33,34,
49,51,52,53,54,66,70,74,75,79,94,98,102,123,127,130,148,160,180,185,186,212,
240,252,292],[1,2,3,4,5,6,9,10,11,18,20,21,22,24,30,32,33,34,49,51,52,53,54,
67,70,74,78,79,94,98,102,126,127,130,148,162,180,185,186,211,240,254,293],[1,
2,3,4,6,9,10,11,15,20,21,22,24,35,51,52,53,54,58,59,60,62,74,75,79,123,130,
147,160,189,212,236,294],[1,2,3,4,6,9,10,11,15,20,21,22,24,35,51,52,53,54,58,
59,60,62,74,76,79,124,130,147,161,190,213,235,295],[1,2,4,5,8,10,11,26,27,30,
34,131,136,137,296],[1,2,3,4,6,7,9,10,15,16,19,22,25,31,32,47,51,55,58,61,99,
112,113,153,194,195,297],[1,2,4,5,6,8,11,16,18,19,23,26,29,48,50,56,65,95,96,
97,135,151,264,298],[1,2,4,5,6,8,11,16,18,19,23,26,28,48,50,56,66,95,96,97,
134,151,263,299],[1,2,4,5,6,8,11,16,18,19,21,26,30,48,49,56,67,93,94,136,150,
269,300],[1,2,4,5,6,8,11,16,18,19,23,26,30,48,50,56,67,95,96,97,137,151,267,
301],[1,2,3,4,6,7,9,10,15,16,19,22,25,31,32,35,37,47,51,55,58,59,60,62,68,69,
83,99,101,103,112,114,115,121,138,147,152,194,199,206,242,270,302],[1,2,4,5,6,
8,10,11,13,14,17,18,21,26,28,29,34,43,49,52,56,63,64,65,66,94,98,110,111,134,
135,148,197,198,268,303],[1,3,4,20,21,22,23,24,72,73,74,75,76,77,78,79,80,81,
82,157,158,159,160,161,162,163,164,165,243,244,245,304],[1,2,3,7,8,9,25,26,37,
71,83,122,200,246,271,305],[1,2,3,4,8,9,10,11,20,21,22,26,49,51,52,53,54,72,
74,127,128,130,157,209,278,306],[1,2,4,5,6,8,11,13,14,16,17,18,26,28,29,30,38,
39,40,41,43,44,45,65,67,85,86,89,105,106,118,134,136,137,139,156,171,207,225,
307],[1,2,4,5,6,8,11,13,14,16,17,18,26,28,29,30,38,39,40,41,43,44,45,66,67,85,
86,89,105,106,118,135,136,137,139,155,172,208,225,308],[1,2,4,5,6,8,10,11,13,
14,15,17,18,26,28,32,33,34,39,42,43,45,59,63,66,70,84,86,87,107,110,117,134,
140,156,167,175,207,233,309],[1,2,4,5,6,8,10,11,13,14,15,17,18,26,29,32,33,34,
38,42,43,44,60,64,65,70,84,85,88,108,111,116,135,141,155,166,176,208,232,
310],[1,2,3,4,6,9,11,20,21,23,31,49,50,54,72,73,75,76,77,78,93,94,96,97,123,
124,125,126,128,129,158,181,182,183,184,210,243,279,311],[1,2,3,4,6,9,11,20,
21,23,35,49,50,54,72,73,75,76,77,78,93,95,123,124,125,126,128,129,158,187,188,
189,190,191,210,243,279,312],[1,2,3,4,5,9,10,11,20,21,22,23,24,28,29,30,33,34,
49,51,52,53,54,72,73,74,75,76,77,78,79,80,81,82,98,100,102,127,128,130,157,
158,159,160,161,162,180,186,209,244,252,253,254,255,313],[1,2,6,7,8,19,25,26,
55,56,71,103,122,179,200,246,281,314],[1,2,3,4,5,6,9,10,11,13,14,15,16,17,18,
19,22,28,29,31,32,33,34,35,38,39,40,41,42,43,44,45,46,47,48,51,53,58,59,60,62,
63,64,65,66,68,69,70,84,85,86,87,88,89,90,91,92,99,102,107,108,109,110,111,
112,114,115,116,117,121,139,140,141,142,143,144,145,147,149,166,167,168,173,
174,175,176,201,206,223,224,228,229,232,233,234,247,272,273,282,283,284,315],[
1,2,4,5,6,10,11,13,14,15,16,17,18,19,23,28,29,30,32,33,34,38,39,40,41,42,43,
44,45,46,47,48,50,61,63,64,65,66,67,70,84,85,86,87,88,89,90,91,92,100,105,106,
107,108,110,111,113,116,117,118,119,120,139,140,141,142,143,144,145,154,169,
170,171,172,175,176,177,178,201,202,203,220,221,222,225,226,227,230,231,248,
249,274,275,276,277,285,316],[1,3,4,7,20,21,23,37,72,73,75,76,77,78,158,243,
317],[1,2,3,4,5,6,9,10,11,16,18,19,20,21,22,31,32,33,34,35,48,49,51,52,53,54,
68,70,72,74,93,94,98,99,101,102,127,128,130,146,148,149,150,152,153,157,180,
181,182,185,186,187,204,205,209,237,240,255,256,257,288,289,290,318],[1,2,4,5,
6,10,11,12,13,14,15,17,18,28,30,34,38,42,43,44,57,59,63,66,67,84,85,88,106,
110,132,141,167,169,172,217,218,224,227,319],[1,2,4,5,6,10,11,12,13,14,15,17,
18,29,30,34,39,42,43,45,57,60,64,65,67,84,86,87,105,111,133,140,166,170,171,
216,219,223,226,320],[1,2,3,4,5,6,7,9,10,11,15,16,17,18,19,22,25,31,32,33,34,
35,41,42,46,47,48,51,53,55,58,61,68,70,92,99,101,102,103,109,112,113,119,120,
149,152,153,173,177,194,195,205,241,242,297,321],[1,2,3,4,9,10,11,20,21,22,23,
24,49,50,51,52,53,54,72,73,74,75,76,77,78,79,80,81,82,123,124,125,126,127,128,
129,130,157,158,159,160,161,162,163,164,165,209,210,211,212,213,243,244,245,
279,280,304,322],[1,2,3,6,7,8,9,25,26,35,37,55,56,71,83,122,138,179,200,246,
271,281,305,323],[1,2,3,4,6,8,9,10,11,20,21,22,26,31,35,49,51,52,53,54,56,72,
74,93,101,127,128,130,157,181,187,209,257,278,306,324],[1,2,4,5,6,8,10,11,13,
14,15,16,17,18,19,26,28,29,30,34,38,39,40,41,42,43,44,45,46,47,48,56,64,65,66,
67,84,85,86,87,88,89,90,91,92,105,106,111,118,134,136,137,139,140,141,142,143,
144,145,156,170,171,172,178,196,198,201,207,225,226,250,274,307,325],[1,2,4,5,
6,8,10,11,13,14,15,16,17,18,19,26,28,29,30,34,38,39,40,41,42,43,44,45,46,47,
48,56,63,65,66,67,84,85,86,87,88,89,90,91,92,105,106,110,118,135,136,137,139,
140,141,142,143,144,145,155,169,171,172,178,196,197,201,208,225,227,251,274,
308,326],[1,2,3,4,6,9,11,15,20,21,23,35,49,50,54,62,72,73,75,76,77,78,93,95,
123,124,125,126,128,129,158,187,188,189,190,191,210,235,236,243,279,312,327],[
1,2,3,4,6,9,11,19,20,21,23,35,49,50,54,69,72,73,75,76,77,78,93,95,123,124,125,
126,128,129,158,187,188,189,190,191,210,239,243,279,312,328],[1,2,3,4,6,9,11,
16,20,21,23,31,35,49,50,54,68,72,73,75,76,77,78,93,94,95,96,97,123,124,125,
126,128,129,150,151,158,181,182,183,184,187,188,189,190,191,210,237,238,243,
279,311,312,329],[1,2,3,4,5,6,9,10,11,18,20,21,22,23,24,28,29,30,31,32,33,34,
49,50,51,52,53,54,65,66,67,70,72,73,74,75,76,77,78,79,80,81,82,94,98,99,100,
102,123,124,125,126,127,128,129,130,148,149,154,157,158,159,160,161,162,180,
182,185,186,209,210,211,212,213,240,244,252,253,254,255,256,280,289,291,292,
293,313,330],[1,2,3,4,7,9,11,20,21,23,25,37,49,50,54,72,73,75,76,77,78,83,123,
124,125,126,128,129,158,210,243,279,317,331],[1,2,4,5,6,8,10,11,12,18,23,26,
28,29,30,32,33,34,50,56,57,65,66,67,70,97,100,135,154,197,214,216,264,332],[1,
2,4,5,6,8,10,11,12,18,23,26,28,29,30,32,33,34,50,56,57,65,66,67,70,96,100,134,
154,198,214,217,263,333],[1,2,4,5,6,8,10,11,12,18,23,26,28,29,30,32,33,34,50,
56,57,65,66,67,70,97,100,135,136,154,197,215,217,265,334],[1,2,4,5,6,8,10,11,
12,18,23,26,28,29,30,32,33,34,50,56,57,65,66,67,70,96,100,134,136,154,198,215,
216,266,335],[1,2,4,5,6,8,10,11,12,18,23,26,28,29,30,32,33,34,50,56,57,65,66,
67,70,95,100,137,154,196,216,217,267,336],[1,2,4,5,6,10,11,12,13,14,15,16,17,
18,19,28,29,32,33,34,36,38,39,40,41,42,43,44,45,46,47,48,57,60,61,63,64,65,66,
70,84,85,86,87,88,89,90,91,92,104,107,108,110,111,113,115,116,117,119,120,133,
139,140,141,142,143,144,145,166,175,176,177,192,201,214,219,220,223,229,232,
258,260,261,273,277,337],[1,2,4,5,6,10,11,12,13,14,15,16,17,18,19,28,29,32,33,
34,36,38,39,40,41,42,43,44,45,46,47,48,57,59,61,63,64,65,66,70,84,85,86,87,88,
89,90,91,92,104,107,108,110,111,113,114,116,117,119,120,132,139,140,141,142,
143,144,145,167,175,176,177,193,201,214,218,220,224,228,233,258,259,262,272,
277,338],[1,2,4,5,6,10,11,12,13,14,15,16,17,18,19,29,30,32,33,34,36,38,39,40,
41,42,43,44,45,46,47,48,57,60,64,65,67,70,84,85,86,87,88,89,90,91,92,104,105,
108,111,115,116,133,139,140,141,142,143,144,145,166,170,171,176,192,201,216,
219,221,223,226,229,231,232,261,273,276,320,339],[1,2,4,5,6,10,11,12,13,14,15,
16,17,18,19,28,30,32,33,34,36,38,39,40,41,42,43,44,45,46,47,48,57,59,63,66,67,
70,84,85,86,87,88,89,90,91,92,104,106,107,110,114,117,132,139,140,141,142,143,
144,145,167,169,172,175,193,201,217,218,222,224,227,228,230,233,262,272,275,
319,340],[1,2,3,4,6,9,10,11,20,21,22,23,24,31,35,49,50,51,52,53,54,72,73,74,
75,76,77,78,79,80,81,82,93,95,101,123,124,125,126,127,128,129,130,157,158,159,
160,161,162,163,164,165,181,187,188,189,190,191,209,210,211,212,213,243,244,
245,257,279,280,304,312,322,341],[1,2,3,4,6,9,10,11,20,21,22,23,24,31,32,49,
50,51,52,53,54,72,73,74,75,76,77,78,79,80,81,82,93,94,96,97,99,123,124,125,
126,127,128,129,130,157,158,159,160,161,162,163,164,165,181,182,183,184,185,
209,210,211,212,213,243,244,245,256,279,280,304,311,322,342],[1,2,3,4,6,9,10,
11,20,21,22,23,24,31,35,49,50,51,52,53,54,72,73,74,75,76,77,78,79,80,81,82,93,
94,96,97,101,123,124,125,126,127,128,129,130,157,158,159,160,161,162,163,164,
165,181,182,183,184,187,209,210,211,212,213,243,244,245,257,279,280,304,311,
322,343],[1,2,3,6,7,8,9,19,25,26,35,37,55,56,69,71,83,103,122,138,179,199,200,
246,271,281,305,314,323,344],[1,2,3,4,6,9,11,15,16,19,20,21,23,31,35,47,49,50,
54,62,68,69,72,73,75,76,77,78,93,94,95,96,97,121,123,124,125,126,128,129,150,
151,158,181,182,183,184,187,188,189,190,191,210,235,236,237,238,239,243,279,
311,312,327,328,329,345],[1,2,3,4,6,7,9,11,20,21,23,25,35,37,49,50,54,55,72,
73,75,76,77,78,83,93,95,123,124,125,126,128,129,138,158,187,188,189,190,191,
210,243,279,312,317,331,346],[1,2,3,4,5,8,9,10,11,20,21,22,23,24,26,28,29,30,
33,34,49,50,51,52,53,54,72,73,74,75,76,77,78,79,80,81,82,98,100,102,123,124,
125,126,127,128,129,130,134,135,136,157,158,159,160,161,162,180,186,209,210,
211,212,213,244,252,253,254,255,278,280,306,313,347],[1,2,3,4,6,7,9,10,12,15,
16,19,22,25,31,32,35,36,47,51,55,57,58,59,60,61,62,68,69,99,103,104,112,113,
114,115,121,147,153,194,195,206,242,259,260,297,348],[1,2,4,5,6,8,10,11,13,14,
15,16,17,18,19,23,26,28,29,30,32,33,34,38,39,40,41,42,43,44,45,46,47,48,50,60,
64,65,66,67,70,84,85,86,87,88,89,90,91,92,97,100,105,106,108,111,115,116,118,
135,136,137,139,140,141,142,143,144,145,154,155,166,171,172,176,178,201,202,
208,223,225,229,232,248,264,265,273,274,287,308,310,349],[1,2,4,5,6,8,10,11,
13,14,15,16,17,18,19,23,26,28,29,30,32,33,34,38,39,40,41,42,43,44,45,46,47,48,
50,59,63,65,66,67,70,84,85,86,87,88,89,90,91,92,96,100,105,106,107,110,114,
117,118,134,136,137,139,140,141,142,143,144,145,154,156,167,171,172,175,178,
201,203,207,224,225,228,233,249,263,266,272,274,286,307,309,350],[1,2,3,4,6,9,
10,11,15,20,21,22,23,24,35,49,50,51,52,53,54,58,59,60,62,72,73,74,75,76,77,78,
79,80,81,82,93,95,123,124,125,126,127,128,129,130,147,157,158,159,160,161,162,
163,164,165,187,188,189,190,191,209,210,211,212,213,235,236,243,244,245,279,
280,294,295,304,312,322,327,351],[1,2,3,4,6,9,10,11,16,20,21,22,23,24,31,32,
35,49,50,51,52,53,54,68,72,73,74,75,76,77,78,79,80,81,82,93,94,95,96,97,99,
101,123,124,125,126,127,128,129,130,150,151,152,157,158,159,160,161,162,163,
164,165,181,182,183,184,185,187,188,189,190,191,209,210,211,212,213,237,238,
243,244,245,256,257,279,280,290,304,311,312,322,329,341,342,343,352],[1,2,3,4,
5,6,9,11,12,15,17,18,19,20,30,35,40,42,46,54,57,58,67,69,77,91,109,118,125,
174,178,191,215,239,353],[1,2,4,5,6,8,10,11,16,18,19,21,26,27,30,34,48,49,52,
56,61,67,93,94,98,120,131,136,137,146,148,150,196,204,269,296,300,354],[1,2,3,
4,6,7,9,11,19,20,21,23,25,35,37,49,50,54,55,69,72,73,75,76,77,78,83,93,95,103,
123,124,125,126,128,129,138,158,187,188,189,190,191,199,210,239,243,279,312,
317,328,331,346,355],[1,2,3,4,6,9,10,11,15,16,19,20,21,22,23,24,31,32,35,47,
49,50,51,52,53,54,58,59,60,62,68,69,72,73,74,75,76,77,78,79,80,81,82,93,94,95,
96,97,99,112,114,115,121,123,124,125,126,127,128,129,130,147,150,151,157,158,
159,160,161,162,163,164,165,181,182,183,184,185,187,188,189,190,191,206,209,
210,211,212,213,235,236,237,238,239,243,244,245,256,279,280,294,295,304,311,
312,322,327,328,329,342,345,351,356],[1,2,4,5,6,8,11,12,13,14,16,17,18,21,26,
28,29,30,38,39,40,41,43,44,45,49,57,65,66,67,85,86,89,93,94,105,106,118,134,
135,136,137,139,150,155,156,171,172,207,208,214,215,225,268,269,307,308,357],[
1,2,4,5,6,8,11,12,13,14,16,17,18,23,26,28,29,30,38,39,40,41,43,44,45,50,57,65,
66,67,85,86,89,95,96,97,105,106,118,134,135,136,137,139,151,155,156,171,172,
207,208,215,216,217,225,265,266,267,307,308,358],[1,2,3,4,5,6,8,9,10,11,13,14,
15,17,18,20,21,22,24,26,28,29,32,33,34,35,38,42,43,44,49,51,52,53,54,56,58,59,
60,62,63,64,65,66,70,74,75,79,84,85,88,94,98,102,108,109,110,111,116,123,127,
130,134,135,141,147,148,155,160,166,167,168,176,180,185,186,189,197,198,208,
212,224,232,236,240,247,252,268,283,292,294,303,310,359],[1,2,3,4,5,6,8,9,10,
11,13,14,15,17,18,20,21,22,24,26,28,29,32,33,34,35,39,42,43,45,49,51,52,53,54,
56,58,59,60,62,63,64,65,66,70,74,76,79,84,86,87,94,98,102,107,109,110,111,117,
124,127,130,134,135,140,147,148,156,161,166,167,168,175,180,185,186,190,197,
198,207,213,223,233,235,240,247,253,268,284,291,295,303,309,360],[1,2,3,4,6,7,
9,10,11,15,20,21,22,23,24,25,31,35,37,49,50,51,52,53,54,55,58,59,60,62,72,73,
74,75,76,77,78,79,80,81,82,83,93,95,101,123,124,125,126,127,128,129,130,138,
147,157,158,159,160,161,162,163,164,165,181,187,188,189,190,191,194,209,210,
211,212,213,235,236,243,244,245,257,270,279,280,294,295,304,312,317,322,327,
331,341,346,351,361],[1,2,3,4,5,6,8,9,10,11,18,20,21,22,23,24,26,28,29,30,31,
32,33,34,49,50,51,52,53,54,65,66,67,70,72,73,74,75,76,77,78,79,80,81,82,93,94,
96,97,98,99,100,102,123,124,125,126,127,128,129,130,134,135,136,148,149,154,
157,158,159,160,161,162,163,164,165,180,181,182,183,184,185,186,209,210,211,
212,213,240,243,244,245,252,253,254,255,256,263,264,265,266,268,269,278,279,
280,289,291,292,293,304,306,311,313,322,330,342,347,362],[1,2,4,5,6,8,10,11,
12,13,14,15,16,17,18,19,23,26,28,29,30,32,33,34,36,38,39,40,41,42,43,44,45,46,
47,48,50,56,57,59,61,63,64,65,66,67,70,84,85,86,87,88,89,90,91,92,96,100,104,
105,106,107,108,110,111,113,114,116,117,118,119,120,132,134,136,137,139,140,
141,142,143,144,145,154,156,167,169,170,171,172,175,176,177,178,193,196,198,
201,202,203,207,214,217,218,220,221,222,224,225,226,227,228,230,231,233,248,
249,250,258,259,262,263,266,272,274,275,276,277,285,286,307,309,316,319,325,
333,338,340,350,363],[1,2,4,5,6,8,10,11,12,13,14,15,16,17,18,19,23,26,28,29,
30,32,33,34,36,38,39,40,41,42,43,44,45,46,47,48,50,56,57,60,61,63,64,65,66,67,
70,84,85,86,87,88,89,90,91,92,97,100,104,105,106,107,108,110,111,113,115,116,
117,118,119,120,133,135,136,137,139,140,141,142,143,144,145,154,155,166,169,
170,171,172,175,176,177,178,192,196,197,201,202,203,208,214,216,219,220,221,
222,223,225,226,227,229,230,231,232,248,249,251,258,260,261,264,265,273,274,
275,276,277,285,287,308,310,316,320,326,332,337,339,349,364],[1,2,3,4,5,6,7,9,
10,11,12,13,14,15,16,17,18,19,22,25,28,29,31,32,33,34,35,36,37,38,39,40,41,42,
43,44,45,46,47,48,51,53,55,57,58,59,60,61,62,63,64,65,66,68,69,70,83,84,85,86,
87,88,89,90,91,92,99,101,102,103,104,107,108,109,110,111,112,113,114,115,116,
117,119,120,121,132,133,138,139,140,141,142,143,144,145,147,149,152,153,166,
167,168,173,174,175,176,177,192,193,194,195,199,201,205,206,214,218,219,220,
223,224,228,229,232,233,234,241,242,247,258,259,260,261,262,270,272,273,277,
282,283,284,297,302,315,321,337,338,348,365],[1,2,4,5,6,8,10,11,12,13,14,15,
16,17,18,19,21,26,28,29,30,34,36,38,39,40,41,42,43,44,45,46,47,48,49,52,56,57,
63,64,65,66,67,84,85,86,87,88,89,90,91,92,93,94,98,104,105,106,110,111,118,
134,135,136,137,139,140,141,142,143,144,145,146,148,150,155,156,169,170,171,
172,178,196,197,198,201,204,207,208,214,215,225,226,227,250,251,258,268,269,
274,303,307,308,325,326,357,366],[1,2,3,4,5,6,8,9,10,11,16,18,19,20,21,22,23,
24,26,28,29,30,31,32,33,34,35,48,49,50,51,52,53,54,56,65,66,67,68,70,72,73,74,
75,76,77,78,79,80,81,82,93,94,95,96,97,98,99,100,101,102,123,124,125,126,127,
128,129,130,134,135,136,146,148,149,150,151,152,153,154,157,158,159,160,161,
162,163,164,165,180,181,182,183,184,185,186,187,188,189,190,191,204,205,209,
210,211,212,213,237,238,240,243,244,245,252,253,254,255,256,257,263,264,265,
266,268,269,278,279,280,288,289,290,291,292,293,298,299,300,304,306,311,312,
313,318,322,324,329,330,341,342,343,347,352,362,367],[1,2,3,4,6,7,9,10,11,15,
16,19,20,21,22,23,24,25,31,32,35,37,47,49,50,51,52,53,54,55,58,59,60,62,68,69,
72,73,74,75,76,77,78,79,80,81,82,83,93,94,95,96,97,99,101,103,112,114,115,121,
123,124,125,126,127,128,129,130,138,147,150,151,152,157,158,159,160,161,162,
163,164,165,181,182,183,184,185,187,188,189,190,191,194,199,206,209,210,211,
212,213,235,236,237,238,239,242,243,244,245,256,257,270,279,280,290,294,295,
302,304,311,312,317,322,327,328,329,331,341,342,343,345,346,351,352,355,356,
361,368],[1,2,4,5,6,7,8,10,11,12,16,18,19,23,25,26,28,29,30,32,33,34,48,50,55,
56,57,61,65,66,67,70,71,95,96,97,100,103,120,122,134,135,137,151,154,179,195,
196,197,198,200,214,216,217,241,246,263,264,267,281,298,299,301,314,332,333,
336,369],[1,2,4,5,6,8,10,11,12,13,14,15,16,17,18,19,23,26,27,28,29,30,32,33,
34,38,39,40,41,42,43,44,45,46,47,48,50,56,57,60,64,65,66,67,70,84,85,86,87,88,
89,90,91,92,95,96,97,100,105,106,108,111,115,116,118,131,133,134,135,136,137,
139,140,141,142,143,144,145,151,154,155,156,166,170,171,172,176,178,196,198,
201,202,207,208,215,216,217,219,223,225,226,229,232,248,250,264,265,266,267,
273,274,287,296,298,307,308,310,320,325,335,336,349,358,370],[1,2,4,5,6,8,10,
11,12,13,14,15,16,17,18,19,23,26,27,28,29,30,32,33,34,38,39,40,41,42,43,44,45,
46,47,48,50,56,57,59,63,65,66,67,70,84,85,86,87,88,89,90,91,92,95,96,97,100,
105,106,107,110,114,117,118,131,132,134,135,136,137,139,140,141,142,143,144,
145,151,154,155,156,167,169,171,172,175,178,196,197,201,203,207,208,215,216,
217,218,224,225,227,228,233,249,251,263,265,266,267,272,274,286,296,299,307,
308,309,319,326,334,336,350,358,371],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,
18,19,20,21,22,23,24,26,28,29,30,31,32,33,34,35,38,39,40,41,42,43,44,45,46,47,
48,49,50,51,52,53,54,56,57,58,59,60,62,63,64,65,66,67,68,69,70,72,73,74,75,76,
77,78,79,80,81,82,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,102,105,
106,107,108,109,110,111,112,114,115,116,117,118,121,123,124,125,126,127,128,
129,130,134,135,136,137,139,140,141,142,143,144,145,147,148,149,150,151,154,
155,156,157,158,159,160,161,162,163,164,165,166,167,168,171,172,173,174,175,
176,178,180,181,182,183,184,185,186,187,188,189,190,191,197,198,201,202,203,
206,207,208,209,210,211,212,213,214,215,216,217,223,224,225,228,229,232,233,
234,235,236,237,238,239,240,243,244,245,247,248,249,252,253,254,255,256,263,
264,265,266,267,268,269,272,273,274,278,279,280,282,283,284,286,287,289,291,
292,293,294,295,300,301,303,304,306,307,308,309,310,311,312,313,315,322,327,
328,329,330,332,333,334,335,342,345,347,349,350,351,353,356,357,358,359,360,
362,372],[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]],
0,[[1],[1,1],[1,1],[1,1],[1,3,1],[1,1,1],[1,1],[1,1],[1,1,1,1],[1,1,1,1],[1,3,
1,1],[1,1],[1,7,7,1],[1,7,7,1],[1,1,3,1],[1,1,3,1],[1,3,1,2,1],[1,5,2,1,1],[1,
1,1,1],[1,1,3,1],[1,4,1],[1,2,2,1],[1,4,1],[1,1,1],[1,1,1,1],[1,5,1,1],[1,1],[
1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,1,1,3,1,1],[1,1,1,3,1,1],[1,3,1,1,3,1],[
1,7,1,3,1,2,1],[1,1,1,1,1,1],[1,1,1,1],[1,1,1,1],[1,15,35,15,1],[1,15,35,15,
1],[1,3,1,6,3,1],[1,3,1,6,4,3,1],[1,7,3,4,1,3,3,1],[1,11,13,2,1,1,1,4,1],[1,7,
7,4,1,2,1],[1,7,7,4,1,2,1],[1,3,1,2,1,2,1],[1,1,5,1,1,1,1],[1,5,2,3,1,1,1,1],[
1,9,4,12,1,1],[1,9,4,12,1,1],[1,1,2,2,2,2,1,1],[1,3,4,3,1,1,1],[1,3,2,2,3,1,1,
1],[1,3,1,3,3,1,1,1],[1,1,5,1,1,1],[1,5,5,1,1,1],[1,7,1,1],[1,1,4,3,4,1,1],[1,
1,4,3,4,1,1],[1,1,4,3,4,1,1],[1,1,4,3,4,1,1],[1,1,1,3,1,1,3,1],[1,7,4,7,4,1,1,
1],[1,7,4,7,4,1,1,1],[1,9,4,4,3,4,3,1,1],[1,9,4,4,3,4,3,1,1],[1,9,4,4,3,4,3,1,
1],[1,1,1,7,1,3,2,1,1],[1,1,1,1,1,3,1,1],[1,9,1,4,3,3,2,3,1,1,1,1],[1,1,5,1],[
1,1,12,4,9,1],[1,1,12,4,9,1],[1,4,9,4,3,6,1],[1,1,12,4,1],[1,1,12,4,1],[1,1,
12,4,1],[1,1,12,4,1],[1,1,3,1,3,1],[1,1,3,1,3,1],[1,1,3,1,3,1],[1,1,3,1,3,1],[
1,1,1,1,1,1,1,1],[1,19,33,6,3,3,2,9,18,6,9,1],[1,19,41,6,1,15,3,12,1,3,3,1],[
1,19,41,6,15,1,3,12,1,3,3,1],[1,11,13,10,1,1,5,4,1,2,1],[1,11,13,10,1,1,5,4,1,
2,1],[1,11,13,10,1,1,4,5,4,1,1,1,2,2,1],[1,11,13,2,1,1,1,4,4,1,2,1],[1,7,3,8,
1,5,3,2,1,1,1,1],[1,7,3,8,1,4,5,3,2,1,1,1,2,2,1],[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],[1,9,4,9,12,1,1,1],[1,15,4,9,
6,14,1,6,1,2,1],[1,1,2,2,9,2,2,1,6,6,1,1],[1,3,13,1,3,4,1,1,1,1,1],[1,1,2,2,3,
2,2,1,1,3,1,1],[1,7,2,2,3,2,8,2,1,3,1,1,2,1],[1,1,5,1,5,1,1,1],[1,1,7,7,1,1,1,
1],[1,15,16,35,15,4,16,1,1],[1,15,16,35,15,4,16,1,1],[1,15,4,35,12,15,1,4,1,3,
1],[1,15,4,35,12,15,1,4,1,3,1],[1,7,4,3,4,4,1,3,3,4,1,1,1],[1,19,4,25,6,4,8,1,
3,3,12,1,4,3,1,2,1],[1,19,4,25,6,4,8,3,1,3,12,1,4,3,1,2,1],[1,1,4,9,4,1,3,3,4,
3,1,1],[1,1,4,9,4,3,1,3,4,3,1,1],[1,1,4,9,4,1,3,3,4,3,1,1],[1,1,4,9,4,1,3,3,4,
3,1,1],[1,7,4,7,12,4,1,6,1,4,3,1,1],[1,7,4,7,12,4,1,6,1,4,3,1,1],[1,3,16,1,6,
3,4,1,1],[1,3,4,1,6,12,4,3,4,1,1,1],[1,13,4,6,3,4,8,1,3,3,4,3,1,1],[1,1,1,9,1,
1,3,3,2,3,3,1,1,1,1],[1,5,1,5,5,1,1,1],[1,9,1,12,9,12,4,12,1,1],[1,9,1,12,9,
12,4,12,1,1],[1,9,1,12,9,12,4,12,1,1],[1,9,1,12,9,12,4,12,1,1],[1,9,4,9,9,12,
4,3,6,1,6,6,1,1],[1,9,1,12,9,12,4,9,1,12,1,1],[1,9,1,12,9,12,4,9,1,12,1,1],[1,
3,4,9,6,6,1,4,3,6,3,1,1,2,1,1],[1,11,1,1],[1,7,7,8,1,1],[1,7,7,8,1,1],[1,15,
10,5,6,10,6,5,1],[1,15,10,5,6,10,6,5,1],[1,15,10,5,6,10,6,5,1],[1,15,10,5,6,
10,6,5,1],[1,1,1,5,1,1,1,5,1,1,1,1],[1,27,69,18,15,15,12,9,36,1,1,3,3,9,9,9,3,
3,9,1],[1,27,61,18,17,3,2,15,42,1,6,15,9,1,3,3,1],[1,27,61,18,3,17,2,15,42,1,
6,15,9,1,3,3,1],[1,19,33,14,3,3,2,4,13,18,4,1,1,6,9,2,2,2,4,4,1,1,1,2,2,1],[1,
19,41,14,15,1,7,12,4,1,3,2,3,2,1,1,1,1],[1,19,41,14,1,15,7,12,4,1,3,3,2,2,1,1,
1,1],[1,11,13,26,1,1,4,13,4,1,1,1,4,4,1,1,1,1],[1,9,4,9,12,9,1,1,1,1],[1,1,5,
8,3,5,8,1,4,3,4,1,1,1,1,1],[1,21,4,18,9,12,16,9,1,12,1,4,1,2,1],[1,13,2,2,6,9,
2,14,4,9,1,6,6,6,2,1,4,6,1,2,1],[1,9,4,27,12,9,1,1,2,1,1],[1,9,4,27,12,9,1,1,
1,1,1,1],[1,1,2,2,15,2,2,9,1,8,6,6,1,6,1,2,1],[1,1,2,2,9,2,2,9,1,6,6,1,1,1],[
1,21,13,10,9,3,42,9,4,1,1,1,3,1,3,4,3,3,3,3,1,1],[1,15,35,16,15,1,1],[1,15,35,
16,15,1,1],[1,10,30,40,45,45,10,30,1],[1,1,39,13,9,27,1,3,1,1,3,4,1],[1,1,12,
4,9,9,1,3,3,3,3,1],[1,4,18,7,3,6,6,1,1,2,1],[1,4,18,7,3,6,6,1,1,2,1],[1,4,18,
7,3,6,6,1,1,2,1],[1,1,12,4,9,1,1,1,1,1],[1,1,12,4,9,1,1,1,1,1],[1,1,12,4,9,1,
1,1,1,1],[1,19,16,33,6,16,3,3,2,9,18,12,6,9,8,12,1,1],[1,19,16,33,6,16,3,3,2,
9,18,12,6,9,8,12,1,1],[1,19,4,33,6,4,3,3,2,9,18,12,6,9,1,4,1,3,1],[1,19,16,41,
6,16,1,15,3,12,4,16,1,3,3,4,1,1,1],[1,19,16,41,6,16,15,1,3,12,4,16,1,3,3,4,1,
1,1],[1,27,16,53,18,16,15,3,9,36,4,16,1,9,9,4,8,3,1,1],[1,27,16,53,18,16,3,15,
9,36,4,16,1,9,9,4,8,3,1,1],[1,7,4,3,16,4,1,12,9,3,6,8,4,3,1,3,6,6,1,4,3,1,2,
1],[1,7,4,3,16,4,1,9,3,6,4,3,1,3,1,4,3,1,1],[1,27,4,53,18,12,8,15,3,9,36,1,4,
4,4,1,9,9,3,2,4,3,1,1,1,1],[1,27,4,53,18,12,8,3,15,9,36,1,4,4,4,1,9,9,3,2,4,3,
1,1,1,1],[1,15,4,7,12,12,8,3,4,9,9,6,4,4,4,1,3,3,6,6,1,4,3,1,1,1,1],[1,15,16,
7,12,16,3,9,9,6,4,1,3,3,4,3,1,1],[1,5,25,1,5,5,1,5,5,1,1,1],[1,27,4,9,27,27,
36,4,3,6,27,3,18,18,1,9,3,1],[1,9,1,12,27,9,12,4,9,9,1,12,1,3,1,1],[1,9,1,12,
27,9,12,4,9,9,1,12,1,3,1,1],[1,9,1,12,27,9,12,4,9,9,1,12,1,3,1,1],[1,9,1,12,
27,9,12,4,9,9,1,12,1,3,1,1],[1,9,4,9,27,9,12,4,3,6,9,1,6,6,1,3,1,1],[1,15,4,9,
9,12,21,14,4,3,6,9,6,1,6,8,8,4,1,1,6,1,2,1],[1,9,1,12,9,9,12,4,9,9,1,12,1,1,1,
1],[1,9,1,12,9,9,12,4,9,9,1,12,1,1,1,1],[1,9,1,12,9,9,12,4,9,12,1,1,1],[1,9,1,
12,9,9,12,4,9,12,1,1,1],[1,9,1,12,9,9,12,4,9,12,1,1,1],[1,15,35,8,15,8,1,1,
1],[1,15,35,8,15,8,1,1,1],[1,1,10,15,6,10,5,6,10,6,5,1],[1,1,10,15,6,10,5,6,
10,6,5,1],[1,25,10,20,15,6,10,20,15,6,5,10,6,5,1,1],[1,25,10,20,15,6,10,20,15,
6,5,10,6,5,1,1],[1,25,10,20,15,6,10,20,15,6,5,10,6,5,1,1],[1,1,1,5,1,1,15,1,5,
1,1,5,1,3,1,1],[1,1,30,6,1],[1,35,89,38,17,17,2,12,25,82,4,1,1,3,3,6,25,15,15,
2,4,4,1,5,5,3,3,9,1,2,2,1,1,1,1,1,1,1,1],[1,15,40,35,24,15,16,8,2,32,8,1,6,8,
2,2,1],[1,15,40,35,24,15,16,2,8,32,8,1,6,8,2,2,1],[1,21,4,18,27,12,16,9,9,9,1,
12,9,1,4,2,1,2,1,1,1,1],[1,13,2,2,6,15,2,14,4,9,9,9,1,8,6,6,2,6,9,1,4,6,6,1,2,
2,1,1,1,1],[1,1,5,8,21,5,8,1,9,9,4,18,24,3,9,4,1,1,1,1,3,3,4,3,3,3,3,1,1],[1,
35,65,30,16,15,5,15,60,16,1,15,15,5,1,1],[1,35,65,30,16,5,15,15,60,16,1,15,15,
5,1,1],[1,9,10,30,18,18,12,40,45,45,1,9,12,12,24,10,30,2,2,12,1,1],[1,27,1,39,
27,117,13,9,27,3,9,117,1,3,1,1,3,4,3,3,9,12,3,9,1,1],[1,9,4,18,18,18,12,7,3,6,
6,9,3,3,15,1,1,2,1,3,1,1],[1,9,4,18,18,18,12,7,3,6,6,9,3,3,15,1,1,2,1,3,1,1],[
1,9,4,18,18,18,12,7,3,6,6,9,3,3,15,1,1,2,1,3,1,1],[1,21,28,14,21,28,8,21,7,7,
8,7,7,1],[1,21,28,14,21,28,8,21,14,8,14,1],[1,21,28,14,21,28,8,21,7,7,8,7,7,
1],[1,21,28,14,21,28,8,21,7,7,8,7,7,1],[1,7,28,7,28,8,1,7,8,7,1,1],[1,7,28,7,
28,8,1,7,8,7,1,1],[1,27,16,69,18,48,15,15,12,9,36,4,4,16,1,1,3,3,9,9,9,12,12,
12,3,3,9,4,4,12,1,1],[1,27,16,69,18,48,15,15,12,9,36,4,16,16,1,1,3,3,9,9,9,12,
3,3,9,1,4,1,3,1],[1,27,16,69,18,48,15,15,12,9,36,4,16,16,1,1,3,3,9,9,9,12,3,3,
9,1,4,1,3,1],[1,43,16,117,42,16,32,45,3,2,27,90,12,16,3,6,27,27,8,12,24,1,9,9,
12,3,1,1],[1,43,16,117,42,16,32,3,45,2,27,90,12,16,3,6,27,27,8,12,24,1,9,9,12,
3,1,1],[1,27,64,69,18,15,15,12,9,36,16,16,112,1,1,3,3,9,9,9,3,3,9,4,4,12,1,
1],[1,43,16,101,42,16,32,21,7,6,39,102,4,16,16,1,18,39,21,4,8,16,3,7,9,1,4,3,
1,2,1],[1,43,16,101,42,16,32,7,21,6,39,102,4,16,16,1,18,39,21,4,8,16,3,7,9,1,
4,3,1,2,1],[1,19,16,33,30,16,3,3,2,12,21,18,12,12,16,3,3,6,9,6,6,6,12,12,8,12,
1,3,3,6,6,8,4,3,1,1],[1,19,16,33,30,16,3,3,2,12,21,18,12,12,16,3,3,6,9,6,6,6,
12,12,8,12,1,3,3,6,6,8,4,3,1,1],[1,19,16,41,30,16,1,15,15,12,12,4,16,16,1,3,3,
6,6,4,1,3,3,1,4,3,1,1],[1,19,16,41,30,16,15,1,15,12,12,4,16,16,1,3,6,3,6,4,1,
3,3,1,4,3,1,1],[1,27,16,61,18,48,3,17,2,15,42,12,16,1,6,15,9,8,20,1,3,3,4,1,1,
1],[1,27,16,61,18,48,17,3,2,15,42,12,16,1,6,15,9,8,20,1,3,3,4,1,1,1],[1,19,4,
33,30,4,3,3,2,12,21,18,12,8,12,3,3,6,9,6,6,6,12,12,1,4,4,4,1,3,3,6,6,3,2,4,3,
1,1,1,1],[1,9,1,12,27,9,12,9,4,27,12,9,1,1,3,1],[1,9,1,12,27,9,12,9,4,27,12,9,
1,1,3,1],[1,9,1,12,63,9,12,27,4,9,18,9,1,12,9,1,4,3,1,3,1,1,1,1],[1,9,1,12,63,
9,12,27,4,9,18,9,1,12,9,1,1,3,3,1,3,1,1,1,1],[1,9,1,12,9,9,12,27,4,9,12,9,1,1,
1,1],[1,33,4,9,36,27,12,39,38,27,4,3,6,9,9,33,3,6,20,20,4,9,1,3,10,6,3,2,3,1,
1,1,1],[1,21,10,10,15,6,30,20,5,15,15,6,10,10,10,15,6,5,10,6,5,1,1],[1,1,10,
25,6,10,5,15,15,6,20,10,15,6,5,10,6,5,1,1],[1,1,120,40,90,270,10,30,10,10,30,
40,40,1],[1,10,57,49,45,45,27,18,10,3,30,1,1,3,4,6,6,6,6,1,1,2,3,3,3,1],[1,1,
39,13,9,27,27,1,3,1,1,3,4,9,9,9,9,1,3,3,3,3,1],[1,25,1,30,25,30,6,30,1,1],[1,
19,8,32,33,6,8,32,3,3,2,9,18,16,12,12,24,6,9,16,2,8,8,8,12,12,1,6,8,1,1,2,1],[
1,51,40,89,54,24,144,9,15,27,108,16,8,2,32,24,8,24,1,27,27,16,6,12,24,48,24,9,
8,2,2,6,6,8,6,6,1,1],[1,51,40,89,54,24,144,15,9,27,108,16,2,8,32,24,8,24,1,27,
27,16,6,24,12,48,24,9,8,2,2,6,6,8,6,6,1,1],[1,35,65,70,16,15,5,35,60,20,16,1,
15,10,15,10,16,5,5,5,5,1,1,1],[1,35,65,70,16,5,15,35,60,20,16,1,15,15,10,10,
16,5,5,5,5,1,1,1],[1,27,4,45,27,27,36,16,3,6,24,27,27,3,18,18,1,4,8,9,3,4,1,
1],[1,27,4,45,27,27,36,16,3,6,24,27,27,3,18,18,1,4,8,9,3,4,1,1],[1,27,4,45,27,
27,36,16,3,6,24,27,27,3,18,18,1,4,8,9,3,4,1,1],[1,27,10,30,27,54,54,36,40,45,
45,27,27,3,27,36,36,72,10,30,9,27,6,6,36,1,1,9,3,1],[1,9,10,30,81,18,18,12,40,
45,45,54,54,1,9,12,12,24,10,30,9,9,2,2,12,1,6,6,1,1],[1,9,10,30,27,18,18,12,
40,45,45,9,27,1,9,12,12,24,10,30,3,9,2,2,12,1,1,3,1,1],[1,43,28,77,42,28,56,8,
7,7,21,84,7,7,28,8,21,8,7,7,14,14,8,7,7,1,1],[1,1,28,21,28,8,7,7,21,28,8,21,8,
7,7,8,7,7,1],[1,1,28,21,28,8,7,7,21,28,8,21,8,7,7,8,7,7,1],[1,15,28,35,84,8,
15,7,28,8,1,8,21,8,7,1,1,1,1],[1,15,28,35,84,8,15,7,28,8,1,8,21,8,7,1,1,1,1],[
1,45,40,30,45,36,120,45,10,36,30,10,30,10,12,1],[1,45,40,30,45,36,120,45,10,
36,30,10,30,10,12,1],[1,45,40,30,45,36,120,45,10,36,15,15,10,15,15,10,6,6,1],[
1,45,40,30,45,36,120,45,10,36,15,15,10,15,15,10,6,6,1],[1,45,40,30,45,36,120,
45,10,36,30,10,30,10,12,1],[1,45,40,30,45,36,120,45,10,36,15,15,10,15,15,10,6,
6,1],[1,45,40,30,45,36,120,45,10,36,30,10,30,10,12,1],[1,1,11,20,15,6,11,20,5,
10,6,10,15,6,10,6,5,5,5,5,6,10,6,5,1,1],[1,25,1,30,25,6,1,1],[1,51,16,145,78,
48,32,17,45,2,36,45,162,12,12,16,16,16,3,1,9,9,6,45,45,27,6,12,12,8,20,24,16,
1,15,9,3,9,27,3,6,6,4,12,8,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,51,16,145,78,48,
32,45,17,2,36,45,162,12,12,16,16,16,1,3,9,9,6,45,27,45,6,12,12,8,20,24,16,1,9,
15,9,3,27,3,6,6,4,12,8,4,3,3,1,3,3,3,3,1,4,3,1,1,1,1],[1,51,64,129,78,64,21,
21,6,12,57,174,12,16,16,112,1,1,3,3,18,57,27,27,6,12,12,16,16,48,3,9,9,9,9,9,
3,6,6,4,4,12,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,51,16,129,78,48,32,21,21,6,12,57,
174,12,4,16,16,16,16,1,1,3,3,18,57,27,27,6,12,12,12,8,16,16,3,9,9,9,9,9,3,6,6,
1,4,4,4,1,3,3,3,3,3,3,3,2,4,3,1,1,1,1],[1,51,16,129,78,48,32,21,21,6,12,57,
174,12,4,16,16,16,16,1,1,3,3,18,57,27,27,6,12,12,12,8,16,16,3,9,9,9,9,9,3,6,6,
1,4,4,4,1,3,3,3,3,3,3,3,2,4,3,1,1,1,1],[1,51,16,129,78,48,32,21,21,6,12,57,
174,12,4,4,16,16,16,1,1,3,3,18,57,27,27,6,12,12,12,12,12,8,8,16,3,9,9,9,9,9,3,
6,6,4,4,4,4,4,4,4,12,4,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,10,30,81,40,45,45,10,30,
1,1],[1,81,1,120,81,1080,40,90,270,90,270,1080,10,30,10,10,30,40,90,90,270,
360,90,270,40,120,1,1],[1,27,10,57,54,54,117,49,45,45,27,18,3,9,27,36,36,153,
10,3,30,1,1,3,4,6,6,6,6,3,3,9,12,6,6,9,36,1,1,2,3,3,3,3,1,3,3,3,1,1],[1,25,
125,1,30,25,30,25,150,6,30,30,1,1,1],[1,19,8,32,33,78,8,32,3,3,2,36,45,18,36,
16,12,12,48,96,24,9,9,6,9,18,18,18,36,36,16,2,8,8,8,12,12,24,24,1,9,9,18,18,
16,6,12,24,24,12,12,24,9,8,1,1,2,6,6,8,3,3,6,1,1],[1,43,8,32,117,42,8,128,32,
3,45,2,27,90,16,12,12,48,16,24,3,6,27,27,16,32,2,8,8,8,12,36,24,1,9,9,16,12,6,
12,3,8,1,1,2,1,3,1,1],[1,43,8,32,117,42,8,128,32,45,3,2,27,90,16,12,12,48,16,
24,3,6,27,27,16,32,2,8,8,8,36,12,24,1,9,9,16,12,6,12,3,8,1,1,2,1,3,1,1],[1,27,
112,69,18,144,15,15,12,9,36,64,24,24,144,48,1,1,3,3,9,9,9,12,24,24,3,3,9,48,5,
5,8,8,12,12,1,3,3,4,4,1,1,1,1,1],[1,51,40,89,126,24,144,15,9,63,108,36,16,2,8,
32,24,8,24,1,27,18,27,18,16,6,24,12,48,24,9,9,9,16,8,2,2,6,6,9,8,6,6,1,1,1],[
1,51,40,89,126,24,144,9,15,63,108,36,16,8,2,32,24,8,24,1,27,27,18,18,16,6,12,
24,48,24,9,9,9,16,8,2,2,6,6,9,8,6,6,1,1,1],[1,9,10,30,81,18,18,12,81,40,45,45,
54,54,1,9,12,12,24,10,30,9,9,2,2,12,9,9,1,6,6,1,1,1],[1,45,10,30,54,81,90,90,
60,81,40,45,45,54,54,54,54,5,45,60,60,120,54,10,30,9,18,9,54,10,10,60,9,9,1,2,
6,6,18,5,6,2,1,1],[1,9,10,30,135,18,18,12,81,40,45,45,72,54,54,1,9,12,12,24,
54,10,30,6,9,9,18,2,2,12,9,9,1,2,6,6,6,1,6,1,2,1],[1,45,4,45,54,81,36,63,78,
81,16,3,6,24,27,27,27,45,3,18,24,24,48,27,27,1,4,8,9,12,18,4,3,6,9,4,1,3,3,4,
3,1,1],[1,45,4,45,54,81,36,63,78,81,16,3,6,24,27,27,27,45,3,18,24,24,48,27,27,
1,4,8,9,12,18,4,3,6,9,4,1,3,3,4,3,1,1],[1,45,4,45,54,81,36,63,78,81,16,3,6,24,
27,27,27,45,3,18,24,24,48,27,27,1,4,8,9,12,18,4,3,6,9,4,1,3,3,4,3,1,1],[1,9,
13,36,27,45,72,12,9,16,12,24,24,27,36,12,12,24,9,9,9,9,4,1,8,1,12,9,4,3,4,1,
1],[1,9,13,36,27,45,72,12,9,16,12,24,24,27,36,12,12,24,9,9,9,9,4,1,8,1,12,9,4,
3,4,1,1],[1,55,55,55,66,55,110,66,12,55,55,12,11,11,1],[1,1,20,20,45,36,20,20,
15,15,45,10,36,60,60,45,10,36,15,15,10,15,15,10,6,6,1],[1,45,40,30,135,36,120,
45,45,45,10,36,30,45,10,36,30,10,10,10,12,10,1,1],[1,45,40,30,135,36,120,45,
45,45,10,36,30,45,10,36,30,10,10,10,12,10,1,1],[1,45,40,30,135,36,120,45,45,
45,10,36,30,45,10,36,30,20,10,12,10,1,1],[1,45,40,30,135,36,120,45,45,45,10,
36,30,45,10,36,30,10,10,10,12,10,1,1],[1,1,11,20,45,6,11,20,5,45,45,10,6,50,
60,45,6,45,10,6,5,5,5,5,45,15,6,10,20,18,15,15,15,15,6,5,10,1,6,5,3,1,1],[1,
75,40,165,90,36,120,160,15,15,45,180,10,36,15,15,120,45,10,40,36,15,15,30,30,
10,20,15,15,6,6,10,6,6,1,1],[1,10,138,76,126,45,270,72,19,30,30,10,10,30,40,
24,24,24,24,1,40,8,12,12,12,24,24,24,1,4,8,1],[1,25,25,1,30,25,25,30,25,6,25,
30,1,1,1,1],[1,45,10,30,81,90,90,60,40,45,45,81,5,45,60,60,120,10,30,10,10,60,
1,5,1,1],[1,75,160,205,90,96,160,15,75,60,45,180,96,80,40,400,5,1,15,15,45,45,
45,40,80,15,15,45,10,20,60,16,32,16,5,6,10,6,5,1],[1,75,160,205,90,96,160,75,
15,60,45,180,96,40,80,400,1,5,15,15,45,45,45,40,80,15,15,45,20,10,60,16,32,16,
5,6,10,6,5,1],[1,75,40,165,90,96,120,80,25,15,10,75,210,96,50,40,40,40,1,30,
75,45,40,70,20,40,5,15,15,10,10,10,16,5,6,5,10,6,5,1],[1,75,40,165,90,96,120,
80,15,25,10,75,210,96,50,40,40,40,1,30,75,45,40,70,20,40,5,15,15,10,10,10,16,
5,6,5,10,6,5,1],[1,81,1,120,243,81,1080,40,90,270,81,90,270,1080,10,30,10,10,
30,40,27,81,81,81,90,90,270,360,90,270,40,9,27,27,27,120,1,1,1],[1,81,1,120,
81,81,1080,40,90,270,81,90,270,1080,10,30,10,10,30,40,18,18,90,90,270,360,90,
270,40,18,18,18,18,18,120,1,1,1],[1,27,10,138,27,54,54,36,76,45,45,108,72,27,
27,27,27,27,3,27,36,36,72,10,12,30,4,4,12,16,24,24,24,24,9,27,27,6,6,36,1,4,8,
12,12,12,1,9,3,4,1,1,1,1,1],[1,25,125,1,30,125,25,30,25,150,6,25,30,30,1,1,1,
1],[1,67,8,32,201,150,8,224,64,45,45,2,108,81,306,36,16,12,12,48,96,96,32,24,
3,3,27,27,6,81,81,81,18,36,36,16,64,2,8,8,8,36,36,24,24,24,24,96,1,27,27,9,9,
81,9,18,18,16,32,12,12,6,12,12,12,24,24,12,12,24,9,3,3,9,9,9,9,8,16,1,1,2,6,6,
12,12,9,8,1,1,3,3,3,3,6,1,3,3,1,1,1,1],[1,99,112,249,198,144,480,33,33,18,12,
153,450,36,64,24,24,144,144,48,144,1,1,3,3,54,153,63,63,18,36,36,64,12,24,24,
96,96,240,144,9,21,21,27,27,9,9,18,18,48,5,5,8,8,24,24,12,24,24,12,12,12,1,9,
9,9,9,9,9,48,3,3,18,18,24,24,12,12,9,4,4,1,1,1,1,3,3,3,3,4,4,3,3,3,3,1,1],[1,
1,120,81,40,90,270,81,10,30,10,10,30,40,40,1,1],[1,45,10,30,54,135,90,90,60,
81,81,81,40,45,45,72,54,54,54,54,81,5,45,60,60,120,54,54,10,30,6,9,18,9,18,54,
10,10,60,9,9,9,9,9,9,1,2,2,6,6,18,6,9,9,5,6,6,2,1,2,1,1,1,1],[1,91,112,301,
210,112,224,64,15,105,14,147,462,84,112,112,7,42,147,147,64,56,84,168,112,7,
49,63,7,84,8,21,7,7,14,16,8,7,7,1],[1,91,112,301,210,112,224,64,105,15,14,147,
462,84,112,112,7,42,147,147,64,56,84,168,112,7,49,63,7,84,8,21,7,7,14,16,8,7,
7,1],[1,31,20,20,15,60,36,20,140,40,15,60,45,45,90,10,36,80,60,60,20,60,15,15,
45,90,90,10,40,36,15,15,60,60,45,10,20,20,36,15,30,15,15,15,10,10,10,15,15,6,
6,10,6,6,1,1],[1,81,10,138,162,162,1080,76,126,45,270,72,90,270,81,108,108,
1188,19,30,30,10,10,30,40,24,24,24,24,90,90,270,360,18,99,270,108,1,40,8,12,
12,12,24,24,24,9,120,36,36,36,1,4,8,1,12,1,1],[1,25,25,125,1,30,25,25,30,125,
25,25,150,6,25,30,25,30,1,1,1,1,1,1],[1,45,10,30,135,81,90,90,60,40,45,45,81,
45,135,5,45,60,60,120,81,10,30,15,45,10,10,60,1,5,15,5,5,1,1,1],[1,115,160,
385,270,96,160,320,45,85,30,60,225,630,60,96,80,40,400,160,5,1,15,15,90,225,
135,75,30,60,60,96,40,80,80,240,15,45,25,45,45,45,15,30,30,10,20,40,60,16,32,
16,5,15,15,15,15,15,15,6,10,20,20,20,16,16,15,6,5,10,6,5,1,1],[1,115,160,385,
270,96,160,320,85,45,30,60,225,630,60,96,40,80,400,160,1,5,15,15,90,225,75,
135,30,60,60,96,40,80,80,240,15,25,45,45,45,45,15,30,30,20,10,40,60,16,32,16,
5,15,15,15,15,15,15,6,10,20,20,20,16,16,15,6,5,10,6,5,1,1],[1,81,1,120,243,81,
1080,81,40,90,270,243,90,270,1080,81,10,30,10,10,30,40,54,54,90,90,270,360,90,
270,40,54,54,54,54,54,120,18,18,1,1,3,1],[1,81,1,120,81,81,1080,243,40,90,270,
81,90,270,1080,81,10,30,10,10,30,40,18,18,90,90,270,360,90,270,40,18,18,18,18,
18,120,18,1,1,1,1],[1,81,1,120,567,81,1080,243,40,90,270,162,81,90,270,1080,
81,10,30,10,10,30,40,72,162,18,162,162,90,90,270,360,90,270,54,54,40,18,54,54,
54,18,18,18,18,18,120,18,18,1,1,2,1,1],[1,81,10,138,108,243,162,162,432,243,
76,45,45,108,72,27,27,27,162,162,108,108,9,36,81,108,108,540,81,81,81,162,10,
12,30,4,4,12,16,24,24,24,24,27,36,27,27,108,12,12,36,48,18,18,36,108,27,27,27,
1,4,8,12,12,12,4,18,18,36,9,4,12,12,12,18,4,1,1,1,4,3,4,3,3,3,3,1,1],[1,81,1,
120,81,81,1080,40,90,270,81,81,90,270,1080,10,30,10,10,30,40,81,90,90,270,360,
90,270,40,120,1,1,1,1],[1,105,175,140,315,126,105,630,120,315,70,126,35,140,
35,105,35,105,70,126,120,210,105,105,105,70,35,63,35,21,15,15,7,1],[1,105,175,
140,315,126,105,630,120,315,70,126,140,35,35,105,35,105,70,126,120,105,210,
105,105,70,35,63,35,21,15,15,7,1],[1,105,175,140,315,126,105,630,120,315,70,
126,35,35,140,105,35,105,70,126,120,105,105,210,105,70,35,21,42,35,21,15,15,7,
1],[1,105,175,140,315,126,105,630,120,315,70,126,35,35,140,105,35,105,70,126,
120,105,105,210,105,70,35,21,42,35,21,15,15,7,1],[1,105,175,140,315,126,105,
630,120,315,70,126,35,35,140,105,35,105,70,126,120,105,105,210,105,70,35,63,
35,21,15,15,7,1],[1,99,112,329,294,336,224,64,105,29,14,84,189,630,84,28,84,
112,112,112,64,1,7,21,21,42,189,63,189,42,84,84,64,56,84,84,140,168,56,112,7,
21,63,63,21,63,21,42,42,64,28,28,28,84,28,56,28,28,84,28,8,7,21,7,21,21,21,21,
7,28,28,28,8,21,8,8,7,7,7,7,8,8,8,7,7,1],[1,99,112,329,294,336,224,64,29,105,
14,84,189,630,84,84,28,112,112,112,64,7,1,21,21,42,189,189,63,42,84,84,64,56,
84,140,84,56,168,112,7,63,21,21,63,63,21,42,42,64,28,28,84,28,28,56,28,28,84,
28,8,7,7,21,21,21,21,21,7,28,28,28,8,21,8,8,7,7,7,7,8,8,8,7,7,1],[1,99,112,
329,294,336,224,64,105,29,14,84,189,630,84,84,112,112,112,112,64,1,7,21,21,42,
189,63,189,42,84,84,64,56,140,168,112,112,7,21,63,63,21,63,21,42,42,64,7,28,
84,56,28,8,7,21,7,21,21,21,21,7,21,14,28,8,21,16,8,7,7,7,7,7,7,8,7,7,1,1],[1,
99,112,329,294,336,224,64,29,105,14,84,189,630,84,84,112,112,112,112,64,7,1,
21,21,42,189,189,63,42,84,84,64,56,140,168,112,112,7,63,21,21,63,63,21,42,42,
64,7,28,84,56,28,8,7,7,21,21,21,21,21,7,21,14,28,8,21,16,8,7,7,7,7,7,7,8,7,7,
1,1],[1,81,10,138,243,162,162,1080,76,126,45,270,72,81,243,90,270,81,108,108,
1188,19,30,30,10,10,30,40,24,24,24,24,54,54,81,90,90,270,360,18,99,270,108,1,
40,8,12,12,12,24,24,24,9,54,54,54,54,54,9,120,36,36,36,1,4,8,9,1,12,1,3,1,1],[
1,81,10,138,729,162,162,1080,76,126,45,270,72,486,486,90,270,81,108,108,1188,
19,30,30,10,10,30,40,24,24,24,24,81,243,243,243,81,90,90,270,360,18,99,270,
108,1,40,8,12,12,12,24,24,24,27,108,81,81,54,9,120,36,36,36,1,4,8,9,1,12,1,3,
1,1],[1,81,10,138,243,162,162,1080,76,126,45,270,72,81,243,90,270,81,108,108,
1188,19,30,30,10,10,30,40,24,24,24,24,27,81,81,81,81,90,90,270,360,18,99,270,
108,1,40,8,12,12,12,24,24,24,9,27,27,27,27,9,120,36,36,36,1,4,8,9,1,12,1,1,1,
1],[1,25,25,125,1,30,25,375,25,30,125,25,25,150,125,6,25,75,30,25,30,25,1,1,1,
1,1,3,1,1],[1,81,1,120,729,81,1080,81,243,243,40,90,270,162,243,243,90,270,
1080,81,81,81,10,30,10,10,30,40,108,162,54,162,162,81,90,90,270,360,90,270,54,
54,40,18,54,54,54,54,54,54,54,54,120,18,18,18,18,18,1,1,2,3,1,1,1,1],[1,81,1,
120,405,81,81,1080,40,90,270,81,405,81,90,270,1080,81,10,30,10,10,30,40,81,90,
90,90,90,270,360,90,270,81,40,90,90,90,90,90,120,1,1,5,1,1,1],[1,135,10,300,
135,486,270,270,990,130,45,45,270,180,486,135,135,135,135,135,15,90,135,180,
180,1170,10,30,30,10,10,30,40,60,60,60,60,45,135,135,30,30,90,120,30,30,90,
180,81,81,81,1,10,20,30,30,30,5,45,15,10,30,30,30,10,5,5,5,5,6,10,6,5,1],[1,1,
35,140,105,126,35,140,120,35,105,315,70,126,210,420,105,120,315,70,126,120,35,
35,35,105,35,105,105,70,126,120,105,105,105,105,105,35,70,21,42,35,21,15,15,7,
1],[1,195,400,665,630,576,240,1440,225,45,30,180,405,1350,180,160,576,80,380,
1040,240,80,240,1,15,45,45,90,405,135,405,90,180,180,160,120,180,600,240,720,
240,15,45,135,135,45,135,45,90,90,160,80,60,20,20,180,120,60,180,192,192,96,
15,45,15,45,45,45,45,80,36,15,60,60,60,60,45,10,36,15,15,15,15,10,16,16,15,15,
10,6,6,1],[1,195,400,665,630,576,240,1440,45,225,30,180,405,1350,180,160,576,
380,80,1040,240,80,240,15,1,45,45,90,405,405,135,90,180,180,160,120,180,240,
600,720,240,15,135,45,45,135,135,45,90,90,160,80,20,60,20,180,120,60,180,192,
192,96,15,15,45,45,45,45,45,80,36,15,60,60,60,60,45,10,36,15,15,15,15,10,16,
16,15,15,10,6,6,1],[1,81,37,192,243,405,648,1080,81,184,234,180,270,288,243,
90,270,324,432,432,1512,81,81,81,81,46,30,120,10,10,30,40,96,96,96,96,54,54,
90,90,270,360,72,126,270,432,81,4,40,32,48,48,48,96,96,96,54,54,54,54,54,36,
120,144,144,144,18,18,1,16,32,1,48,18,18,4,3,4,1,1],[1,81,10,138,1215,162,162,
1080,729,76,126,45,270,72,648,486,486,90,270,81,108,108,1188,486,19,30,30,10,
10,30,40,24,24,24,24,162,324,54,324,324,81,162,90,90,270,360,18,99,270,108,
162,162,81,1,40,8,12,12,12,24,24,24,45,135,108,108,54,81,54,54,54,54,9,120,36,
36,36,81,54,1,4,8,9,18,1,12,9,1,4,3,1,3,1,1,1,1],[1,63,28,336,63,252,252,336,
288,63,189,189,378,112,252,252,63,63,189,336,288,63,252,252,28,189,63,63,28,
63,63,28,36,28,1],[1,165,220,330,495,396,660,880,165,495,495,55,396,144,330,
660,495,55,220,396,165,330,110,55,110,165,144,132,66,55,55,55,66,55,11,12,11,
1],[1,81,1,120,405,81,81,1080,1215,40,90,270,81,405,81,90,270,1080,81,405,10,
30,10,10,30,40,81,90,90,243,90,90,270,360,90,270,81,40,90,90,90,90,90,81,120,
90,1,1,5,1,5,1,1,1],[1,81,37,192,1701,405,648,1080,81,729,729,184,234,180,270,
288,1458,1944,243,729,90,270,324,432,432,1512,81,81,81,81,243,243,46,30,120,
10,10,30,40,96,96,96,96,216,486,54,486,486,324,243,243,243,243,90,90,270,360,
72,126,270,432,81,162,162,4,40,32,48,48,48,96,96,96,54,270,162,162,216,54,54,
54,54,54,81,36,120,144,144,144,18,18,54,54,54,1,16,32,36,1,48,18,18,4,6,3,4,1,
3,3,4,3,1,1],[1,315,1120,1365,1890,2016,3360,960,315,315,1260,945,3780,280,
2016,840,840,5040,21,21,315,315,945,945,945,280,960,840,840,3360,315,315,945,
560,280,210,210,1260,336,336,1344,336,105,280,126,126,210,210,126,126,120,240,
105,56,112,21,21,1],[1,315,1120,1365,1890,2016,3360,960,315,315,1260,945,3780,
280,2016,840,840,5040,21,21,315,315,945,945,945,280,960,840,840,3360,315,315,
945,280,280,280,210,210,1260,336,336,1008,672,105,280,126,126,210,210,126,126,
120,120,120,105,56,56,56,21,21,1],[1,315,40,360,1485,1890,1296,360,2520,1680,
135,405,90,1215,4050,160,120,240,960,1296,540,270,1080,1080,1800,1080,27,270,
1215,1215,120,720,960,960,480,1296,90,360,360,360,540,810,540,1080,1080,40,40,
320,45,405,405,360,480,720,270,270,540,270,270,40,120,240,216,216,135,360,360,
162,160,45,45,90,270,40,120,120,120,216,216,162,160,45,135,40,120,45,40,36,45,
40,40,36,27,1],[1,315,40,360,1485,1890,1296,360,2520,1680,405,135,90,1215,
4050,160,120,240,960,1296,270,540,1080,1080,1800,1080,27,270,1215,1215,120,
720,960,960,480,1296,90,360,360,360,810,540,1080,540,1080,40,40,320,45,405,
405,360,480,720,270,270,270,540,270,40,120,240,216,216,135,360,360,162,160,45,
45,90,270,40,120,120,120,216,216,162,160,45,135,40,120,45,40,36,45,40,40,36,
27,1],[1,81,91,300,1215,486,891,1620,1080,405,400,450,450,270,720,486,810,
1215,486,90,270,810,1080,1080,2160,486,405,405,405,405,100,30,300,10,10,30,40,
240,240,240,240,486,270,270,810,90,90,270,360,180,180,270,1080,486,405,10,40,
80,120,120,120,240,240,240,90,270,270,270,270,270,81,90,120,360,360,360,90,90,
1,40,80,90,81,1,120,90,90,10,15,6,10,5,6,10,6,5,1],[1,405,10,1110,810,3645,
2916,810,810,10260,3645,400,855,45,2700,720,2916,810,810,810,2430,2430,810,
810,855,2700,405,540,540,10800,2430,2430,2430,2430,100,300,30,100,100,300,400,
240,240,240,240,810,2025,2430,2430,270,405,810,810,900,900,2700,3600,90,900,
2700,540,972,972,972,405,405,810,1,400,80,120,120,120,240,240,240,30,270,810,
810,810,270,270,45,1200,360,360,360,270,10,40,80,30,30,30,30,45,81,81,162,162,
162,81,36,10,120,45,90,90,90,10,36,30,30,10,30,10,12,1],[1,435,1120,2065,3150,
2016,3360,6720,960,225,525,210,420,2205,6930,1260,1120,2016,1540,280,2800,
3360,1120,3360,960,35,1,105,105,630,2205,2205,315,630,1260,1260,1120,2016,960,
840,420,1260,840,1680,4200,5040,3360,105,735,105,315,945,315,315,630,630,1120,
1120,960,35,175,140,280,1260,840,420,840,840,420,420,420,420,120,1008,672,336,
35,105,315,315,315,315,315,1120,126,105,105,105,210,630,420,840,420,420,120,
336,336,315,140,70,126,120,240,120,35,35,35,105,35,105,105,105,105,105,105,
140,70,126,120,120,120,112,112,105,105,105,105,105,35,70,21,42,35,15,21,16,15,
15,7,1],[1,435,1120,2065,3150,2016,3360,6720,960,525,225,210,420,2205,6930,
1260,1120,2016,280,1540,2800,3360,1120,3360,960,1,35,105,105,630,2205,315,
2205,630,1260,1260,1120,2016,960,840,420,840,1260,4200,1680,5040,3360,105,105,
735,945,315,315,315,630,630,1120,1120,960,175,35,280,140,840,1260,420,840,420,
840,420,420,420,120,1008,672,336,35,315,105,315,315,315,315,1120,126,105,105,
105,630,210,840,420,420,420,120,336,336,315,70,140,126,120,240,120,35,35,35,
105,35,105,105,105,105,105,105,70,140,126,120,120,120,112,112,105,105,105,105,
105,35,70,21,42,35,15,21,16,15,15,7,1],[1,211,56,560,945,1470,336,56,3920,
1120,960,225,225,70,1260,945,3150,1260,280,336,420,420,560,1680,1680,560,840,
960,336,15,15,315,315,210,945,945,945,630,1260,1260,280,1120,336,960,70,280,
280,1260,280,1260,1260,840,840,840,840,1680,336,35,315,315,315,315,945,315,
630,630,280,560,560,1008,960,420,420,210,420,420,420,420,840,840,420,420,1260,
420,840,120,120,336,105,105,105,315,315,315,315,280,280,280,280,35,35,70,210,
210,420,420,420,120,120,56,168,336,315,280,280,120,120,120,105,35,35,105,105,
105,105,210,168,168,35,120,120,120,120,120,56,105,105,105,35,35,35,28,56,35,
28,15,15,8,1],[1,435,1120,2625,3150,2016,3360,4480,960,525,525,630,1260,3465,
8190,1260,280,2016,840,840,5040,3360,960,21,21,315,315,1890,3465,1575,1575,
630,1260,1260,280,1120,2016,960,840,840,1680,1680,5040,315,525,525,945,945,
945,315,630,630,560,280,560,960,210,210,840,840,1260,336,336,1344,336,105,315,
315,315,315,315,315,280,280,280,126,126,210,210,420,420,420,336,336,336,315,
280,126,126,120,240,105,210,210,126,126,120,56,112,105,56,21,21,21,21,1,1],[1,
405,10,1110,810,6075,2916,810,810,10260,3645,3645,3645,400,855,45,2700,720,
2916,810,810,810,3240,2430,810,810,2430,3645,855,2700,405,540,540,10800,2916,
2430,2430,2430,2430,2430,100,300,30,100,100,300,400,240,240,240,240,1350,2835,
540,3240,3240,270,405,810,810,810,900,900,2700,3600,90,900,2700,540,972,972,
972,405,405,405,1215,1620,405,405,810,1,400,80,120,120,120,240,240,240,30,360,
1080,1080,1080,270,270,540,540,540,540,540,405,405,45,1200,360,360,360,540,
540,270,10,40,80,30,30,30,30,45,90,81,81,162,162,162,81,36,10,120,45,45,45,90,
90,90,81,81,81,10,36,40,30,30,45,10,36,30,30,10,10,10,12,10,1,1],[1,81,91,300,
3645,486,891,1620,1080,405,3645,3645,400,450,450,270,720,486,4050,4860,3645,
486,3645,90,270,810,1080,1080,2160,486,405,405,405,405,3645,1215,100,30,300,
10,10,30,40,240,240,240,240,486,540,810,270,810,810,810,1620,1458,1215,1215,
1215,1215,90,90,270,360,180,180,270,1080,486,405,810,810,810,10,40,80,120,120,
120,240,240,240,180,540,270,270,540,540,270,270,270,270,81,486,405,90,120,360,
360,360,90,90,540,270,270,243,1,40,80,90,180,81,1,120,90,90,90,81,10,10,15,6,
10,5,15,15,6,10,10,10,15,6,5,10,6,5,1,1],[1,525,1750,1750,7875,126,3780,5250,
10500,6000,2625,7875,7875,1750,3150,3780,1750,1750,1750,5250,1750,5250,7875,
1750,3150,18900,6000,2625,5250,5250,5250,5250,756,1750,1750,1750,1750,3150,
2625,3780,1050,1050,1050,1750,1750,3780,525,1050,1050,1050,126,750,750,750,
525,126,175,175,175,126,175,175,175,126,50,50,50,1],[1,1155,6160,9625,20790,
22176,18480,36960,21120,3465,1485,2310,13860,17325,48510,13860,6160,22176,
8064,6160,10780,43120,18480,6160,18480,77,231,3465,3465,6930,17325,10395,
17325,6930,13860,13860,6160,22176,21120,9240,13860,27720,18480,55440,18480,
1155,3465,5775,10395,3465,10395,3465,6930,6930,6160,6160,6160,6160,2310,1540,
1540,13860,9240,4620,13860,8064,2640,3696,7392,14784,11088,1155,3465,1155,
3465,3465,3465,3465,6160,6160,2772,1386,1155,2310,4620,4620,4620,4620,3696,
3696,3465,770,1386,2772,2640,5280,2640,2640,1155,1155,2310,1155,1155,770,1386,
616,1232,1232,1232,1155,1155,770,672,616,231,462,462,330,231,176,176,77,22,
1],[1,1155,6160,9625,20790,22176,18480,36960,21120,1485,3465,2310,13860,17325,
48510,13860,6160,22176,8064,10780,6160,43120,18480,6160,18480,231,77,3465,
3465,6930,17325,17325,10395,6930,13860,13860,6160,22176,21120,9240,13860,
18480,27720,55440,18480,1155,5775,3465,3465,10395,10395,3465,6930,6930,6160,
6160,6160,6160,1540,2310,1540,13860,9240,4620,13860,8064,2640,7392,3696,14784,
11088,1155,1155,3465,3465,3465,3465,3465,6160,6160,1386,2772,1155,2310,4620,
4620,4620,4620,3696,3696,3465,770,2772,1386,2640,2640,5280,2640,1155,1155,
2310,1155,1155,770,1386,616,1232,1232,1232,1155,1155,770,672,616,462,231,462,
330,231,176,176,77,22,1],[1,2835,280,23520,31185,119070,163296,22680,90720,
241920,155520,8505,8505,5670,102060,76545,255150,102060,11200,20160,5040,
75600,80640,163296,56700,56700,226800,136080,272160,90720,90720,68040,567,567,
25515,25515,17010,76545,76545,76545,51030,102060,102060,20160,75600,45360,
60480,60480,302400,163296,155520,5670,22680,22680,22680,34020,34020,204120,
204120,408240,68040,68040,272160,2800,8400,3360,2800,2800,8400,11200,26880,
26880,26880,26880,2835,25515,25515,25515,25515,76545,25515,51030,51030,60480,
90720,15120,136080,136080,30240,45360,90720,90720,11340,11340,11340,11340,
17010,34020,34020,34020,68040,68040,34020,34020,102060,68040,25200,25200,
75600,100800,10080,25200,75600,60480,81648,81648,163296,54432,8505,8505,8505,
25515,25515,25515,25515,22680,45360,45360,45360,45360,90720,20412,20412,112,
11200,8960,13440,13440,13440,26880,26880,26880,2835,2835,5670,34020,34020,
17010,17010,34020,34020,34020,3360,15120,45360,45360,45360,30240,30240,15120,
15120,15120,15120,15120,27216,27216,25515,5670,5670,22680,20412,20412,5040,
33600,40320,40320,40320,19440,38880,19440,19440,2835,2835,8505,8505,8505,8505,
8505,17010,5040,5040,15120,15120,15120,30240,280,4480,8960,2835,5670,5670,
3360,3360,3360,3360,5040,9072,9072,18144,18144,4536,13608,13608,8505,8505,
8505,4032,280,13440,2835,2835,2835,5670,5670,5040,10080,10080,10080,5040,5040,
4536,4536,4536,1120,4032,3402,3402,3402,3402,1680,840,3360,2835,1120,280,840,
840,3360,1296,1296,1296,1296,1120,840,1344,567,567,280,540,280,162,162,126,
126,112,1],[1,22275,15400,462000,779625,4677750,299376,8981280,1247400,
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28066500,616000,693000,693000,4158000,11088000,7484400,8981280,16329600,
3118500,3118500,12474000,12474000,37422000,12474000,12474000,18711000,
21384000,7484400,22275,22275,2338875,2338875,4677750,7016625,7016625,7016625,
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462000,462000,154000,154000,462000,616000,3696000,3696000,3696000,3696000,
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3696000,779625,779625,1559250,2338875,2338875,4677750,4677750,4677750,4677750,
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2338875,554400,15400,1848000,299376,779625,779625,779625,779625,1559250,
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12,12,14,15,16,16,16,16,16,16,16,16,16,16,16,18,18,18,18,18,18,20,20,21,24,24,
24,24,24,24,24,24,24,24,24,24,24,25,27,27,27,27,27,27,27,27,27,27,27,30,32,32,
32,32,32,32,32,32,32,36,36,36,36,36,36,36,36,36,36,40,42,48,48,48,48,48,48,48,
48,48,48,48,48,48,48,48,48,48,50,54,54,54,54,54,54,54,54,55,56,56,60,60,60,60,
60,64,64,64,64,64,64,64,72,72,72,72,72,72,72,72,72,80,80,81,81,81,81,81,81,81,
81,81,96,96,96,96,96,96,96,96,96,96,96,96,96,100,108,108,108,108,108,108,108,
108,108,108,108,108,112,112,120,120,120,120,120,120,125,128,144,144,144,144,
144,160,160,162,162,162,162,162,168,168,168,168,168,168,192,192,192,192,192,
192,192,192,192,192,192,192,192,192,192,216,216,216,216,216,216,240,240,243,
243,243,250,288,288,288,320,320,324,324,324,324,324,324,336,336,336,336,336,
360,360,360,360,360,360,360,360,375,384,384,384,384,384,384,405,486,486,500,
576,576,576,576,576,576,648,648,648,648,648,648,648,648,660,720,720,720,720,
720,720,720,729,750,810,960,960,960,960,972,972,972,1000,1152,1152,1215,1296,
1344,1344,1440,1458,1500,1620,1920,1920,1944,1944,1944,1944,2430,2520,2520,
2520,2520,2520,2688,2688,2688,2688,2916,2916,2916,3000,3888,4860,4860,5040,
5760,5760,5832,5832,6048,7920,9720,11664,20160,20160,25920,25920,29160,29160,
40320,40320,40320,40320,58320,58320,126000,443520,443520,3265920,898128000],
[373,365,368,330,316,234,344,179,302,149,186,104,340,339,282,177,201,142,92,
322,318,318,238,159,199,179,131,249,248,154,152,70,154,149,121,104,199,364,
363,274,277,234,201,201,201,142,92,92,318,238,205,186,186,130,199,56,104,282,
206,206,177,206,175,176,111,110,67,121,121,70,281,352,329,330,351,351,328,322,
244,245,245,245,199,315,275,276,201,201,201,201,142,142,237,204,238,151,151,
240,205,154,152,149,103,104,316,316,249,248,234,175,176,173,177,114,115,176,
175,178,177,177,121,179,294,295,239,211,289,290,238,186,131,262,261,198,197,
136,196,199,316,272,273,201,201,201,201,204,206,204,205,204,151,205,205,154,
251,250,367,322,304,280,280,280,245,245,245,315,315,282,275,276,226,227,234,
234,175,176,177,178,179,330,290,237,238,238,240,240,237,238,236,235,239,261,
262,302,241,196,197,198,199,344,201,287,286,204,205,206,250,251,318,280,211,
212,213,258,215,216,217,262,261,316,316,316,315,315,316,276,275,272,273,275,
276,273,272,234,295,294,237,238,239,240,241,242,368,322,304,344,315,287,286,
250,251,330,330,330,330,318,290,258,259,260,261,262,299,298,265,266,301,303,
300,302,344,272,273,274,275,276,277,324,368,280,344,315,315,315,316,286,287,
318,318,318,291,292,293,294,295,296,321,298,299,300,301,302,303,352,344,324,
325,326,309,310,352,345,330,314,315,316,355,318,340,339,321,352,344,324,325,
326,356,345,345,330,355,332,333,334,335,336,337,338,339,340,352,352,352,344,
345,355,347,348,349,350,356,352,353,354,355,356,366,358,359,360,368,367,363,
364,365,366,367,368,369,370,371,372,373],
[1,1,1,1,1,1,1,1,1,1,4,1,1,1,2,2,1,2,1,1,1,1,1,1,1,8,1,5,5,5,3,4,1,4,1,1,1,1,
1,1,2,2,2,2,2,2,6,6,21,23,1,4,4,4,7,8,12,15,15,15,16,2,5,5,29,28,30,9,3,10,1,
1,1,1,3,3,3,3,3,3,1,3,1,2,5,5,5,5,5,5,6,6,21,21,23,23,23,21,22,5,3,4,7,12,39,
38,5,5,15,28,29,58,61,59,60,29,28,40,16,61,35,8,75,76,77,78,21,21,23,4,27,13,
14,134,135,136,137,7,5,13,14,17,13,14,17,21,15,49,51,49,50,51,22,100,38,39,1,
3,3,20,20,20,20,20,20,84,84,15,38,39,105,106,58,58,63,64,61,118,71,74,72,72,
73,73,74,21,21,23,75,76,77,14,13,194,195,137,135,134,37,7,43,38,39,94,99,147,
156,155,21,158,78,75,76,214,215,216,217,132,133,139,39,38,166,167,139,105,106,
167,166,106,105,84,84,109,124,123,128,129,77,127,195,194,3,20,20,200,84,202,
203,156,155,180,180,180,74,157,72,214,259,260,133,132,263,264,265,266,267,268,
269,194,200,167,166,225,169,170,220,157,243,158,200,247,167,166,139,203,202,
157,209,209,253,252,254,236,235,296,297,264,263,269,267,270,268,72,200,278,
307,308,309,310,243,243,180,200,247,285,243,256,319,320,297,243,200,278,307,
308,279,243,279,313,243,332,333,334,335,336,337,338,320,319,304,304,243,271,
312,317,347,348,349,350,327,322,353,354,317,351,357,358,359,360,361,362,363,
364,365,357,362,361,369,370,371,372,373],
[( 1, 87)( 2,204)( 3,102)( 4,124)( 5, 14)( 6,154)( 7,106)( 8, 35)
( 9,131)( 10, 48)( 11,234)( 12,258)( 13,127)( 15,201)( 16,250)( 17,245)
( 18,175)( 19,170)( 20,209)( 21, 61)( 22, 30)( 23,104)( 25, 76)( 26,189)
( 27,180)( 28,100)( 29,105)( 31, 56)( 32,248)( 34, 83)( 37,217)( 38,150)
( 39,163)( 40,260)( 41, 45)( 44,239)( 47,144)( 49,237)( 50, 53)( 51,262)
( 52,257)( 55,211)( 57,232)( 58,254)( 59, 95)( 60,155)( 63,214)( 64,273)
( 65,109)( 66,115)( 67,142)( 68,107)( 69,218)( 70,200)( 71,119)( 72,243)
( 73,168)( 74,268)( 75,173)( 78,259)( 79,156)( 80,186)( 81,111)( 82,140)
( 84,166)( 86,160)( 88,112)( 89,161)( 90,255)( 91,171)( 92,241)( 94,136)
( 96,193)( 98,179)( 99,167)(101,151)(103,252)(110,138)(113,192)(114,212)
(116,233)(117,185)(120,158)(122,164)(123,202)(126,178)(128,223)(129,249)
(130,165)(133,219)(134,143)(139,196)(141,215)(145,272)(146,199)(148,242)
(149,265)(152,236)(153,264)(159,222)(162,208)(169,253)(172,221)(174,238)
(177,216)(181,206)(182,198)(183,251)(188,220)(190,205)(191,270)(194,203)
(195,231)(207,274)(210,267)(225,226)(228,246)(229,266)(247,261)(263,269),
( 1,136, 54,137,215)( 2, 96, 86,257,143)( 3, 78,256,144, 38)
( 4, 58, 50,231,224)( 5,209, 40,128, 29)( 6, 36,104, 84,101)
( 7,180,194,142,177)( 8,129,151,124, 26)( 9,232, 44,201, 19)
( 10,225,126,116, 43)( 11, 66,244,241,156)( 12,193, 37,190,171)
( 13,196, 62,230,162)( 14,248, 72,219,268)( 15,211, 65,131,274)
( 16,238, 63,185,245)( 17, 92,167, 89, 91)( 18, 71,191, 93, 55)
( 20,271,207, 59, 49)( 21,154,261,198,115)( 22, 56,103,152,262)
( 23, 45,223, 74,214)( 24,253,117, 27,247)( 25,192,173, 60,181)
( 28,237, 80,212,260)( 30,109,229,242, 90)( 31, 41,218,164, 57)
( 32,205, 88,150,123)( 33,113, 52,204,199)( 34,153,112, 70,264)
( 35,267,107,148,158)( 39,182, 42,146,189)( 46,165,122,197,249)
( 47,221,250,234,149)( 48,236,202,174,166)( 51,121,259, 82,272)
( 53, 61,157,105,252)( 64,145,127,111,159)( 67,118,266,263, 69)
( 68,125,147, 98,208)( 73,226,240,265,188)( 75,206,178,140,175)
( 76,106,155,258,213)( 77, 81, 87,275,246)( 79,186,216,132,254)
( 83, 97,184,203,120)( 85,195,273,239,187)( 94,183,100,200,179)
( 95,168, 99,138,108)(102,251,217,270,210)(110,220,172,227,233)
(114,228,139,170,135)(119,134,243,255,141)(130,133,235,161,163)
(160,222,169,176,269)],
[[[[]]],[[[2,2],[3,1,2,1,1,1,3,1]]],[[[2,1,1,1,2,-2,1,1,2,2],[3,-2]]],[[[2,
2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1,4,1,5,-1]]],[[[2,2],[3,1,2,1,
1,1,3,1],[1,1,2,1,1,1,2,-1],[5,1,4,1],[6,1,5,2,6,-1,5,-1,4,1,5,-1]],[[2,2],[3,
1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,-2,4,1,5,2,4,1]]],[[[2,1,1,1],[2,2,3,
-2,2,-1,1,1],[4,-2]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,-1],[1,1,2,1],[2,
1,1,1],[2,1,7,-1,6,3,7,-1],[5,2],[9,1,5,1,8,-1,5,1,8,1,9,1]]],[[[1,1,2,1,1,1,
2,-1]]],[[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,
1],[4,2],[7,1,6,1,4,-1,6,1,7,1]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,
-1],[4,1,5,1,4,1,5,-2]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,
1],[6,2,5,1,6,1,4,1,5,-2]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,
-2,4,1,5,2,4,1]]],[[[2,-1,1,-1,2,2,1,-1]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,
1,1,2,-1],[4,1,5,1],[5,1,4,1],[7,1,6,-1,5,-2,6,1,5,1,6,1,7,-1]],[[2,2],[3,1,2,
1,1,1,3,1],[1,1,2,1,1,1,2,-1],[5,2],[6,1,5,1,4,1,6,1]],[[2,2],[3,1,2,1,1,1,3,
1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[6,2,5,1,4,1,5,-1,6,-2]]],[[[2,2],[3,1,2,1,1,
1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[5,1,4,1],[6,1,5,1,6,1,7,2,5,-1,6,-2]],[[
2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[4,1,5,-1,6,-1,5,-1,6,-1,
5,2,6,1,5,1,4,1]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[5,1,
4,1],[7,1,6,2,5,1,6,1,7,-1,5,-1,7,-1]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,
1,2,-1],[4,1,5,1],[5,1,4,1],[4,1,5,-1],[8,1,6,-2,5,-1,7,-3,6,-1,8,-1]],[[2,
2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[5,1,4,1,6,2,5,2,4,1,5,2,6,
1,5,1,6,1]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[4,1,5,
-1],[5,1,4,1,5,2,6,1,7,3,5,-1,6,1]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,
-1],[4,1,5,1],[5,1,4,1],[4,1,5,-1,7,-1,6,-1,5,-1,6,-1,7,2,6,-1]]],[[[2,2],[3,
1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[6,2,5,1,4,1,5,-1,6,-1,5,-1,6,-1,
5,1,4,1]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[5,1,4,1],[7,
1,5,1,6,4,7,1]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[5,1,4,1],[6,1,
5,2,6,-1,5,-1,4,1,5,-1]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[5,-1,4,
1,5,1]]],[[[2,1,1,1],[2,2,3,-2,2,-1,1,1]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,3,
-2],[2,1,1,1,2,-2,1,1,2,2],[5,1],[4,1,5,1],[7,2,4,1,5,-1,7,-1,5,2,4,1],[6,1,8,
1],[6,1,8,-1,9,-2,8,1]],[[2,1,1,1,2,-2,1,1,2,2],[3,-2]]],[[[1,1,2,1],[3,2,1,1,
2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[4,2],[4,1,6,-1,7,-2,6,-1,
4,-1]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,
1],[4,2],[7,1,6,2,7,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,-1],[1,1,2,1],[
2,1,1,1],[2,1,7,-1,6,3,7,-1],[5,2],[9,1,8,2,9,1,8,-1,5,1,8,1]],[[1,1,2,1],[2,
1,1,1],[2,1,4,-1,3,3,4,-1],[5,4]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,
-1],[4,1,5,1],[5,1,6,1],[4,1,5,-1,6,-1,7,-1,6,1,7,1,5,1,4,1]],[[2,2],[3,1,2,1,
1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[5,1,4,1],[5,2,6,2,7,-1,5,-1,7,-1]]],[[[
1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,-1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,3,7,
-1],[5,2],[8,-1,9,-1,8,1,9,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,-1],[1,
1,2,1],[2,1,1,1],[2,1,7,-1,6,3,7,-1],[5,2],[9,1,8,-1,9,-1,8,-1,5,-1]]],[[[2,
2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[5,1,4,1,5,-1,6,-1,5,2,6,
1]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,-2,4,1,5,2,4,1]]],[[[1,
1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-2,3,-1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,2,6,1],[
7,-2,5,1,7,1],[8,1,5,1,7,-1,8,-1]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,
-1],[5,1,4,1],[5,2,4,1,5,1,6,-2,5,-1]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,
2,-1],[4,1,5,1],[6,1,5,1,6,2,5,1,4,1]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,
1,2,-1],[4,1,5,1],[6,2,5,1,4,1,5,-1,6,-2]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,
1,1,2,-1],[4,1,5,1],[5,2,6,2,5,1]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,
-1],[5,1,4,1],[4,1,5,1,6,-2]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,
1,5,-1,4,1,5,1,4,1]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2],[2,1,1,1,2,-2,1,1,2,
2],[5,-2],[4,1,5,1],[7,1,4,1,5,1,4,1,5,-1,7,-1],[8,1,6,1,8,-1,6,-1,8,1]],[[2,
1,1,1,2,-2,1,1,2,2],[3,-2]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,
1,5,1],[5,1,4,1],[7,1,6,-2,5,-1,6,1,7,2]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,
1,2,-1],[4,1,5,1],[6,2,4,1,5,-2,6,1]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,
2,-1],[4,1,5,1],[5,1,4,1],[7,1,6,-1,5,-1,6,-1,7,1,6,2,5,1]],[[2,2],[3,1,2,1,1,
1,3,1],[1,1,2,1,1,1,2,-1],[5,1,4,1],[6,1,5,2,6,-1,5,-1,4,1,5,-1]]],[[[2,2],[3,
1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,-2],[6,2,4,1,5,1]],[[2,2],[3,1,2,1,1,
1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[6,1,5,1,4,1,5,-1,6,-1]]],[[[1,1,2,1],[2,
1,1,1],[3,1,2,1,4,-2,3,-1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,3,7,-1],[8,1,5,-1,
8,2,5,-1]]],[[[2,2],[3,1,2,1,1,1,3,1],[4,1,2,1,1,-1,2,-1,1,-1]]],[[[1,1,2,1],[
2,1,1,1],[3,1,2,1,4,-2,3,-1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,3,7,-1],[8,1,5,1,
8,-1,5,2,8,-2]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[5,1,
4,1],[7,1,5,1,6,3,4,1,7,1,5,1,4,1]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,
-1],[4,1,5,1],[5,1,4,1],[5,2,6,1,7,1,5,-1,6,-2,7,-1]],[[2,2],[3,1,2,1,1,1,3,
1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[5,1,4,1],[6,1,4,1,7,1,5,1,4,1,7,1,5,1,6,
2]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[5,1,4,1],[4,1,5,-1,
6,-1,5,-2,7,-1,6,1,7,2]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,
1],[5,1,4,1],[6,1,4,1,7,2,5,1,6,2,4,1,5,1]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,
1,1,2,-1],[4,1,5,1],[5,1,4,1],[7,1,5,1,6,2,4,1,5,1,6,1,4,1,7,1]],[[2,2],[3,1,
2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[5,1,4,1],[7,1,6,-2,5,-1,4,1,5,-1,7,
-1,4,1,6,-1,5,-2]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[4,1,
5,-1],[5,2,7,-1,6,-2,5,-1,4,1,5,-1,7,2,6,1]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,
2,1,1,1,2,-1],[4,1,5,1],[4,1,5,-1],[5,1,4,1,6,-1,5,-2,7,1,6,-1,5,1,7,-2]],[[2,
2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[5,1,4,1],[7,1,6,2,5,1,7,-1,
6,-1,5,-1,6,-1]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[4,1,
5,-1],[5,1,4,1,5,2,6,1,7,3,5,-1,6,1]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,
-1],[4,1,5,1],[5,1,4,1],[6,1,4,1,7,1,5,1,4,1,7,1,5,1,6,2]],[[2,2],[3,1,2,1,1,
1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[5,1,4,1],[6,1,7,-2,6,1,5,1,6,1,7,1,5,1,4,
1]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[5,1,4,1],[4,1,5,
-1],[5,1,6,1],[6,1,9,1,7,1,8,-1,9,1,7,1,8,-1]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,
2,1,1,1,2,-1],[5,1,4,1],[5,2,4,1,5,1],[7,1,6,1,5,1,4,1,6,1,7,1]],[[2,2],[3,1,
2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[4,1,5,-1],[7,1,6,-1,5,-2,4,1,5,-1,
7,1,6,1,5,1,6,1]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[5,1,4,1],[6,
1,5,2,6,-1,5,-1,4,1,5,-1]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,
1],[6,2,5,1,6,2,5,1,4,1]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[5,1,4,
1],[5,2,4,1,5,1,6,-2,5,-1]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,
1,5,1],[4,1,5,-2,6,2,5,1,6,1]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[5,
1,4,1],[5,1,6,2,5,-2,4,1]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,
5,1],[4,1,5,-1],[5,1,4,1,6,-1,5,-2,7,1,6,-1,5,1,7,-2]],[[2,2],[3,1,2,1,1,1,3,
1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[5,1,4,1],[6,1,4,1,7,1,5,1,4,1,7,1,5,1,6,
2]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[5,1,4,1],[6,1,7,
-1,5,-1,7,-1,4,1,5,-1,6,1,5,1]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[
5,1,4,1],[5,2,6,-2,5,-1,4,1,6,1,5,-1]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,
1,2,-1],[4,1,5,1],[5,1,4,1],[7,1,6,1,7,-1,5,-1,4,1,5,-2,6,1,7,1]],[[2,2],[3,1,
2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[5,1,6,1],[4,1,5,-1,6,1,7,2,4,1,5,
-1]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[5,1,6,1],[4,1,5,
-1,6,1,7,2,6,1,4,1,5,-1]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[5,1,4,
1],[4,1,5,1,6,-1,5,-1,6,1]]],[[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,
1,1,1,2,-1,5,2,2,1,5,1],[4,2],[6,1,4,1,6,1],[8,1,7,1,8,1,7,1]],[[1,1,2,1],[2,
1,1,1,2,-1,3,2,2,1,3,1],[4,-4]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[
2,1,1,1,2,-1,5,2,2,1,5,1],[6,1,4,1],[6,1,7,-2,6,-1]]],[[[2,2],[3,1,2,1,1,1,3,
1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[5,1,4,1],[6,1,5,1,7,-2,6,-1,5,-1]],[[2,2],[3,
1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[5,2],[6,1,5,1,4,1,6,1]],[[2,2],[3,1,2,1,1,
1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[4,1,5,-2,6,2,5,1,6,1]]],[[[1,1,2,1],[3,2,
1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[6,1,4,1,6,-1,4,1,6,1,
4,1,6,-1,4,2]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,
2,1,5,1],[4,1,6,1],[4,1,6,-1,7,-2,6,1,4,2]]],[[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,
-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[4,1,6,-2,4,1,6,2,4,-2]],[[1,1,2,1],[
3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[4,1,6,1],[6,1,7,
1,6,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,-1],[1,1,2,1],[2,1,1,1],[2,
1,7,-1,6,3,7,-1],[5,2],[9,1,8,1],[9,1,10,-2,9,-1]],[[1,1,2,1],[2,1,1,1],[2,1,
4,-1,3,3,4,-1],[5,4]]],[[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,
2,-1,5,2,2,1,5,1],[6,2,4,-1,6,1,4,1,6,1,4,-2]],[[1,1,2,1],[2,1,1,1,2,-1,3,2,2,
1,3,1],[4,-4]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,-1],[1,1,2,1],[2,1,1,
1],[2,1,7,-1,6,3,7,-1],[8,1,5,-1,8,-1,5,-2,8,2]],[[1,1,2,1],[2,1,1,1],[3,1,2,
1,4,-2,3,-1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,3,7,-1],[5,2],[9,1,8,-1,9,-1,8,
-1,5,-1]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[4,1,5,-2,6,
1,5,1,6,1]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[6,1,5,1,6,
3,5,1]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[5,1,6,1],[7,
1,6,1,4,1,5,-1,7,-1]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[
6,1,5,1,6,2,5,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,-1],[1,1,2,1],[2,
1,1,1],[2,1,7,-1,6,3,7,-1],[8,1,5,1,8,1,5,2,8,2,5,1]],[[1,1,2,1],[2,1,1,1],[3,
1,2,1,4,-2,3,-1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,3,7,-1],[8,1,5,-2,8,1]]],[[[
2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[5,1,4,1],[7,1,6,2,5,1,7,
-1,6,-1,5,-1,6,-1]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[5,
1,4,1],[5,1,6,1],[7,1,8,-1,6,-1,8,1,6,1,7,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,
1,4,-2,3,-1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,3,7,-1],[5,2,8,1,5,1,8,3,5,
-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,-1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,
3,7,-1],[8,2,5,-1,8,1,5,-1,8,1]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,
-1],[4,1,5,1],[4,1,5,-2,6,1,5,1,6,1,4,1,5,-1]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,
2,1,1,1,2,-1],[4,1,5,1],[5,1,4,1],[7,2,6,-1,5,-1,6,-2]]],[[[1,1,2,1],[2,1,1,
1],[3,1,2,1,4,-2,3,-1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,3,7,-1],[5,2],[9,2,8,1,
5,1,8,-1,9,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,-1],[1,1,2,1],[2,1,1,1],[
2,1,7,-1,6,3,7,-1],[8,1,5,1],[8,1,9,-2,8,-1]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,
2,1,1,1,2,-1],[5,1,4,1],[6,1,5,-2,4,1,5,2,6,-1]],[[2,2],[3,1,2,1,1,1,3,1],[1,
1,2,1,1,1,2,-1],[5,1,4,1],[6,2,5,-2]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,
2,-1],[4,1,5,1],[4,1,6,-1,5,1,4,1,5,1,6,2]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,
1,1,2,-1],[4,1,5,1],[6,1,5,1,4,1,5,-1,6,-1]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,
2,1,1,1,2,-1],[4,1,5,1],[5,1,6,1],[7,1,6,1,4,1,5,-1,7,-1]],[[2,2],[3,1,2,1,1,
1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,-2,4,1,5,2,4,1]]],[[[2,2],[3,1,2,1,1,1,3,1],[
1,1,2,1,1,1,2,-1],[4,1,5,1],[6,2,5,1,6,1,4,1,5,-2]],[[2,2],[3,1,2,1,1,1,3,1],[
1,1,2,1,1,1,2,-1],[4,1,5,1],[5,-2,6,2]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,
1,2,-1],[4,1,5,-2,4,1,5,2,4,1]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[
4,1,5,1],[5,1,4,1,6,-2]]],[[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,
1,1,2,-1,5,2,2,1,5,1],[4,2],[6,2],[8,1,7,-1,8,1,7,1]],[[1,1,2,1],[3,2,1,1,2,
-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[4,2],[7,1,6,-2,7,1,6,1,4,
1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,-1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,
6,3,7,-1],[5,1,8,1],[5,2,9,1,8,2,9,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,
-1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,3,7,-1],[5,2],[8,-1,5,1,8,2,9,1]]],[[[2,
2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[5,1,4,1],[7,2,6,-2,5,2,4,
1]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[6,2,5,1,4,1,5,-1,6,
-2]]],[[[2,1,1,1],[1,1,2,1,3,-2],[4,10],[2,1,1,1],[2,2,6,-2,2,-1,1,1],[7,1,5,
1,7,1,5,-1,7,-1,5,1,7,-1]],[[2,1,1,1],[1,1,2,1,3,-2],[4,10],[2,1,1,1],[2,2,6,
-2,2,-1,1,1],[5,1,7,-1,5,-1,7,1,5,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,
-1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,3,7,-1],[5,1,8,1],[8,1,5,1],[10,1,8,-1,9,
2,10,-1,8,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,3,4,-1],[5,4]],[[1,1,2,1],[2,
1,1,1],[3,1,2,1,4,-2,3,-1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,3,7,-1],[5,1,8,1],[
5,1,8,-1,9,2,5,-1,8,-1]]],[[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,
1,1,2,-1,5,2,2,1,5,1],[4,2],[4,1,6,1],[7,1,6,-1,8,1,6,1,7,1,8,1]],[[1,1,2,1],[
3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[4,1,6,-2]],[[1,1,
2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[4,2],[7,1,
6,-1,7,1,4,1,6,3,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,-1],[1,1,2,1],[
2,1,1,1],[2,1,7,-1,6,3,7,-1],[5,1,8,1],[8,1,5,1,9,-2,8,1,5,-1]],[[1,1,2,1],[2,
1,1,1],[2,1,4,-1,3,3,4,-1],[5,4]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,-1],[1,
1,2,1],[2,1,1,1],[2,1,7,-1,6,3,7,-1],[5,2],[9,2,8,2,5,-1]]],[[[1,1,2,1],[3,2,
1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[4,2],[4,1,6,1],[8,1,
6,1,7,-1,6,1,8,1,7,1]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,
2,-1,5,2,2,1,5,1],[6,1,4,1,6,-1,4,2,6,1,4,1,6,1]]],[[[1,1,2,1],[3,2,1,1,2,-1,
1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[4,2],[7,1,6,2,7,1,6,-1,4,-1,6,
-1]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[
4,-2,6,2,4,1]]],[[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,
2,2,1,5,1],[6,1,4,-1,6,1,4,1,6,2,4,2]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,
1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[4,-1,6,2]]],[[[1,1,2,1],[3,2,1,1,2,-1,1,1,
2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[4,2],[7,1,6,-1,4,-1,6,-1,7,1,6,
-2]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[
6,1,4,-1,6,1,4,2,6,-2,4,-1]]],[[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[
2,1,1,1,2,-1,5,2,2,1,5,1],[4,1,6,1],[4,2,7,1,6,2,7,1]],[[1,1,2,1],[3,2,1,1,2,
-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[6,2,4,2,6,1,4,-1,6,1]]],[[[
1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[6,1,4,
1,6,1,4,-2,6,1,4,-1,6,1]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,
1,2,-1,5,2,2,1,5,1],[6,2],[7,1,4,2,7,1]]],[[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,
-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[4,2,6,-1,4,-1,6,-3]],[[1,1,2,1],[3,
2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[6,1,4,-1,6,3,4,
2]]],[[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,
1],[6,1,4,1],[4,1,6,1,7,-1,6,-1,4,2,7,1]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[
1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[4,2,6,-1,4,-2,6,-1]]],[[[1,1,2,1],[2,1,1,
1],[3,1,2,1,4,-2,3,-1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,3,7,-1],[5,2],[9,1,8,
-1,5,-1,8,-1,9,1,8,2]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,
1],[5,1,4,1],[4,1,5,-1],[8,1,6,1,5,1,6,1,7,-2,6,-1,8,-1]],[[2,2],[3,1,2,1,1,1,
3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[5,1,4,1],[6,1,5,1,6,1,7,2,5,-1,6,-2]],[[2,
2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[5,1,4,1],[4,1,5,-1],[8,2,6,
1,7,1,5,1,6,1,7,-1,8,1]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,
1],[5,1,4,1],[7,1,5,1,6,3,4,1,7,1,5,1,4,1]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,
1,1,1,2,-1],[4,1,5,1],[6,1,5,1,6,1,4,1,5,-2,6,1]],[[2,2],[3,1,2,1,1,1,3,1],[1,
1,2,1,1,1,2,-1],[4,1,5,1],[6,2,5,1,6,1,4,1,5,-2]],[[2,2],[3,1,2,1,1,1,3,1],[1,
1,2,1,1,1,2,-1],[5,1,4,1],[6,1,5,-2,4,1,5,2,6,-1]]],[[[2,2],[3,1,2,1,1,1,3,
1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[5,1,4,1],[7,1,5,1,6,3,4,1,7,1,5,1,4,1]],[[2,
2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[5,1,4,1],[4,1,5,-1,6,-1,5,-1,4,1,5,1,
6,2]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[5,1,4,1],[6,1,4,
1,7,1,5,1,4,1,7,1,5,1,6,2]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,
1,5,1],[5,1,4,1],[6,1,7,3,5,1,6,2]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,
-1],[5,1,4,1],[4,1,5,-1,6,-1,5,-1,4,1,5,1,6,2]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,
1,2,1,1,1,2,-1],[4,1,5,1],[4,1,5,-2,6,2,5,1,6,1]],[[2,2],[3,1,2,1,1,1,3,1],[1,
1,2,1,1,1,2,-1],[4,1,5,1],[5,2,6,1,5,1,6,2]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,
2,1,1,1,2,-1],[4,1,5,1],[5,1,4,1],[5,1,6,1],[8,1,6,1,7,2,6,1,8,1,5,1,4,1]],[[
2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[5,1,4,1],[6,1,4,1,7,1,5,
1,4,1,7,1,5,1,6,2]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[5,
1,4,1],[6,1,5,1,6,1,7,1,5,1,4,1,6,1,7,-2]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,
1,1,1,2,-1],[5,1,4,1],[5,2,6,3,5,-1,4,1]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,
1,2,-1],[4,1,5,1],[6,1,5,1,6,1,4,1,5,-2,6,1]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,
2,1,1,1,2,-1],[4,1,5,1],[5,1,4,1],[6,1,5,1,7,-2,6,-1,5,-1]],[[2,2],[3,1,2,1,1,
1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[5,1,6,2,5,1,4,1,5,2]]],[[[2,2],[3,1,2,1,
1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[6,2,5,1,4,1,5,-1,6,-1,5,-1,6,-1,5,1,4,
1]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[5,1,4,1],[5,1,6,-1,5,-1,4,1,
6,2,5,-2]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[4,1,5,-1,6,
-4,5,-1,4,1,5,-1]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2],[2,1,1,1,2,-2,1,1,2,
2],[4,1,5,1],[4,1,5,-1,6,1,5,1,4,1,5,-1,6,1],[7,-2]],[[2,1,1,1,2,-2,1,1,2,2],[
3,-3]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2],[2,1,1,1,2,-2,1,1,2,2],[4,1,5,1],[
4,1,5,-1,6,1,5,1,4,1,5,-1,6,1],[5,-3,7,1],[7,1,8,1],[9,1,8,1,9,1]],[[2,1,1,1,
2,-2,1,1,2,2],[3,-3]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2],[2,1,1,1,2,-2,1,1,2,
2],[4,1,5,1],[6,2,5,1,4,1,5,-1,6,-1],[5,-3,7,1],[8,1,7,3,8,2]],[[2,1,1,1,2,-2,
1,1,2,2],[3,-3]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[5,1,
4,1,6,-1,5,-1,4,1,5,-2,6,1]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,
5,-2,4,1,5,2,4,1]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2],[2,1,1,1,2,-2,1,1,2,
2],[4,1,5,1],[6,2,5,1,4,1,5,-1,6,-1],[7,2],[8,-2,5,-3,7,-1]],[[2,1,1,1,2,-2,1,
1,2,2],[3,-3]]],[[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,
2,2,1,5,1],[4,2],[4,1,6,-1,7,1,6,-1,7,-2]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,
-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[4,1,6,-3,4,-1,6,-1]]],[[[1,1,2,1],[
3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[4,2],[4,1,6,1],[
7,1,6,-1,8,-1,7,1,6,1,8,1]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,
1,1,2,-1,5,2,2,1,5,1],[4,1,6,1],[6,1,7,-1,6,1,7,1,4,-2]],[[1,1,2,1],[3,2,1,1,
2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[4,1,6,2,4,2,6,-1,4,1,6,
-1]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[5,2,6,3,5,1]],[[
2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,-2],[6,2,4,1,5,1]]],[[[1,1,2,
1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[4,1,6,-1,4,
-2,6,-1,4,1,6,-1]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,
5,2,2,1,5,1],[4,1,6,1],[4,2,7,1,6,1,7,1]]],[[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,
-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[4,2],[4,1,6,1],[7,1,8,1,7,1,8,1]],[[
1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[4,1,6,
1],[7,1,6,1,4,-2,7,-1,6,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,-1],[1,1,
2,1],[2,1,1,1],[2,1,7,-1,6,3,7,-1],[5,2],[8,2,9,-1,8,-1,5,-1,8,-1,9,-1]],[[1,
1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,-1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,3,7,-1],[
5,1,8,-2,5,-2,8,1]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[
5,1,4,1],[7,2,6,-2,5,2,4,1]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,
5,1],[5,1,4,1],[6,1,5,1,6,1,7,2,6,-1]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,
1,2,-1],[4,1,5,1],[5,1,4,1],[5,1,6,1],[6,1,8,1,7,2,8,1,6,1]],[[2,2],[3,1,2,1,
1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[5,1,4,1],[6,2,7,-2,6,-1]],[[2,2],[3,1,
2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[5,1,4,1],[7,1,5,1,7,1,6,-3,5,
-1]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[4,1,5,-2,6,2,5,
1,6,1]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[4,1,5,-1,6,
2]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[6,1,5,1,4,1,6,-2,5,
-1]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[5,1,4,1],[7,1,6,
-1,5,-1,6,1,7,2]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[5,1,
6,2,5,1,4,1,6,-2]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[5,
-2,4,1,6,-1,5,-1,6,-1]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,-1,
4,1,5,1,4,1]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2],[2,1,1,1,2,-2,1,1,2,2],[4,1,
5,1],[6,1,5,2,6,1,5,2,4,1],[5,1,4,1,5,-1,4,1,5,-1],[8,1,7,1,8,-2,7,1,8,-1]],[[
1,1,2,1],[3,1,1,1,2,1,1,1,3,-2],[2,1,1,1,2,-2,1,1,2,2],[4,1,5,1],[6,1,5,2,6,1,
5,2,4,1]]],[[[2,1,1,1],[2,1,3,1,2,-1,1,1,3,2],[4,4],[2,1,1,1,2,-1,1,1],[5,1,6,
1],[5,1,6,-2,7,1,6,1,7,1]],[[2,1,1,1],[2,1,3,1,2,-1,1,1,3,2],[4,4],[2,1,1,1,2,
-1,1,1],[6,1,5,1,6,-1]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,
1],[4,1,5,-2,6,1,5,1,6,1]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[5,1,4,
1,5,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,-1],[1,1,2,1],[2,1,1,1],[2,1,
7,-1,6,3,7,-1],[5,2,8,3,5,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,-1],[1,1,2,
1],[2,1,1,1],[2,1,7,-1,6,3,7,-1],[8,1,5,-2,8,1]]],[[[2,2],[3,1,2,1,1,1,3,1],[
1,1,2,1,1,1,2,-1],[4,1,5,1],[5,1,4,1],[7,1,6,2,5,1,7,-1,6,-1,5,-1,6,-1]],[[2,
2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[6,2,5,1],[5,1,4,1,7,
-2]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[5,1,4,1],[7,1,6,
-1,5,-1,6,1,7,2]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[6,1,
5,1,4,1,5,-1,6,-2,5,-1]]],[[[2,1,1,1],[2,1,3,1,2,-1,1,1,3,2],[4,4],[2,1,1,1,2,
-1,1,1],[5,1,6,1],[6,1,5,1],[8,1,7,-1,6,-1,7,1,8,2]],[[2,1,1,1],[2,1,3,1,2,-1,
1,1,3,2],[4,4],[2,1,1,1,2,-1,1,1],[5,1,6,1],[7,1,6,1,5,1,6,-1,7,-2,6,-1]]],[[[
2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[5,1,4,1],[5,2,6,1,7,2,6,
-1]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[4,1,5,-2,6,
3]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[6,2,5,1,4,1,5,-1,
6,-1,5,-1,6,-1,5,1,4,1]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,
1],[5,2,6,2,5,1]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[5,
-2,4,1,5,1,6,2]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[5,1,6,
2,4,1,5,-2]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[5,1,4,
1],[6,2,7,-3,5,-1]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[6,
2,5,1,6,1,4,1,5,1,4,1]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,
1],[5,1,4,1],[7,2,6,-1,5,-1,6,-2]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,
-1],[4,1,5,-1,4,1,5,2,4,1,5,-2]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,-1],[
1,1,2,1],[2,1,1,1],[2,1,7,-1,6,3,7,-1],[5,2],[5,1,8,1],[9,1,10,-2,8,-1,9,
-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,-1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,
3,7,-1],[5,2,8,3,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-2],[4,10],[2,1,1,1],[2,2,6,-2,
2,-1,1,1],[7,2,5,-1,7,2,5,1]],[[2,1,1,1],[1,1,2,1,3,-2],[4,10],[2,1,1,1],[2,2,
6,-2,2,-1,1,1],[5,1,7,-1,5,-1,7,1,5,1]]],[[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[
1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[4,2],[4,1,6,1],[7,1,8,1,7,1,8,1]],[[1,1,
2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[6,1,4,1],[
6,1,7,1,6,1,7,1]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,
5,2,2,1,5,1],[4,2],[4,1,6,1,7,-1,6,1,7,1]]],[[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,
-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[6,1,4,1,6,-1,4,2,6,1,4,1,6,1]],[[1,
1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[4,1,6,-1,
4,-1,6,-1,4,-2]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,
2,2,1,5,1],[4,1,6,1],[7,1,6,1,7,1,6,1]]],[[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[
1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[4,1,6,1],[4,2,7,-1,6,-1,7,1,6,1]],[[1,1,
2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[6,1,4,-1,6,
3,4,-2]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,
1],[6,1,4,1,6,1,4,1]]],[[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,
2,-1,5,2,2,1,5,1],[4,2],[7,1,6,1,4,1,6,1,7,1,6,-2]],[[1,1,2,1],[3,2,1,1,2,-1,
1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[4,1,6,1,4,1,6,1]],[[1,1,2,1],[
3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[4,2,6,-2,4,
-1]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2],[2,1,1,1,2,-2,1,1,2,2],[5,1],[4,1,5,
1],[7,2,4,1,5,-1,7,-1,5,2,4,1],[6,2],[8,-1,9,1,8,1]],[[2,1,1,1,2,-2,1,1,2,2],[
3,-3]],[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2],[2,1,1,1,2,-2,1,1,2,2],[5,1],[4,1,5,
1],[7,2,4,1,5,-1,7,-1,5,2,4,1],[8,1,6,-2,8,-1,6,-1]]],[[[1,1,2,1],[3,2,1,1,2,
-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[4,1,6,2,4,2,6,1,4,-1,6,
1]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[
6,1,4,-1,6,1,4,-1]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,
-1,5,2,2,1,5,1],[4,1,6,1],[7,1,6,1,4,-2,7,-1,6,-1]]],[[[1,1,2,1],[3,2,1,1,2,
-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[4,2],[7,2,6,-1,4,1,6,-1,7,
1]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[
4,1,6,-1,4,-1,6,-1,4,-2]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,
1,2,-1,5,2,2,1,5,1],[4,1,6,1],[6,1,7,1,6,1,7,1]]],[[[1,1,2,1],[3,1,1,1,2,1,1,
1,3,-2],[2,1,1,1,2,-2,1,1,2,2],[5,1],[4,1,5,1],[7,2,4,1,5,-1,7,-1,5,2,4,1],[8,
1,6,2,8,-1]],[[2,-2,1,-1,2,2,1,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,
4,-2,3,-1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,2,6,1],[5,1,7,1],[7,1,5,1],[8,2,9,-1,
8,-1,9,1,7,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-2,3,-1],[1,1,2,1],[2,1,6,
1,2,1,1,1,2,2,6,1],[5,1,7,1],[5,1,7,-1],[9,1,5,1,8,-1,7,1,5,1,8,-2,9,-1]]],[[[
2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[5,1,6,1],[7,1,6,1,7,1,4,
1,5,-1]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[5,1,4,1],[4,1,5,-1,6,-3,
5,-1]]],[[[2,1,1,1],[2,1,3,1,2,-1,1,1,3,2],[4,4],[2,1,1,1,2,-1,1,1],[5,1,6,
1],[6,1,7,1],[8,1,7,1,8,1,5,1,6,-1]],[[2,1,1,1],[2,1,3,1,2,-1,1,1,3,2],[4,4],[
2,1,1,1,2,-1,1,1],[6,1,5,1],[5,1,6,-1,7,-3,6,-1]]],[[[2,2],[3,1,2,1,1,1,3,1],[
1,1,2,1,1,1,2,-1],[4,1,5,1],[5,1,4,1],[5,1,7,-1,6,-1,5,1,6,1,7,-1]],[[2,2],[3,
1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,-2,4,1,5,2,4,1]]],[[[1,1,2,1],[3,2,1,
1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[4,2],[7,1,6,-1,7,1,6,1,
7,-1]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,
1],[4,1,6,1,4,1,6,1]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2],[2,1,1,1,2,-2,1,1,2,
2],[4,1,5,1],[4,1,5,-1,6,1,5,1,4,1,5,-1,6,1],[5,-3,7,1],[8,1,7,2,8,1]],[[2,1,
1,1,2,-2,1,1,2,2],[3,-3]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,
5,1],[5,1,4,1],[6,1,5,1,7,-2,6,-1,5,-1]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,
1,2,-1],[4,1,5,1],[5,1,4,1],[4,1,6,-1,7,3,6,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,
2,1,4,-2,3,-1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,3,7,-1],[5,2],[9,1,8,1,5,1,8,1,
9,1,8,2]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,-1],[1,1,2,1],[2,1,1,1],[2,1,7,
-1,6,3,7,-1],[5,1,8,1,5,1,8,-1]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,
-1],[4,1,5,1],[4,1,5,-1],[5,1,4,1,5,2,6,1,7,3,5,-1,6,1]],[[2,2],[3,1,2,1,1,1,
3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[5,1,4,1],[5,2,6,1,7,1,5,-1,6,-2,7,-1]],[[2,
2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[5,1,4,1],[6,1,7,-2,6,1,5,1,
6,1,7,1,5,1,4,1]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[5,1,
4,1],[4,1,5,-1,6,-1,5,-2,7,-1,6,1,7,2]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,
1,2,-1],[4,1,5,1],[5,1,4,1],[6,2,7,2,5,1,6,2]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,
2,1,1,1,2,-1],[4,1,5,1],[5,1,4,1],[5,1,6,2,7,2,5,2]],[[2,2],[3,1,2,1,1,1,3,
1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[6,1,4,1,5,1,4,1,6,-2]]],[[[2,2],[3,1,2,1,1,1,
3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[5,1,4,1],[6,1,5,1,6,1,7,-2,6,-1]],[[2,2],[
3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[6,1,4,1,5,-2,6,1,5,1]],[[2,2],[
3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[5,1,4,1],[6,1,5,2,6,-1,5,-1,4,1,5,
-1]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[5,1,4,1],[7,1,6,
2,5,1,7,-1,6,-1,5,-1,6,-1]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,
5,1],[5,1,4,1],[7,3,6,-2,5,-1]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[
4,1,5,1],[5,1,6,1],[4,1,5,-1,6,-1,7,-1,6,1,7,1]]],[[[2,2],[3,1,2,1,1,1,3,1],[
1,1,2,1,1,1,2,-1],[4,1,5,1],[4,1,5,-2,6,1,5,1,6,2]],[[2,2],[3,1,2,1,1,1,3,1],[
1,1,2,1,1,1,2,-1],[4,1,5,1],[6,2,5,1,4,1,5,-2,6,1]]],[[[2,2],[3,1,2,1,1,1,3,
1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[5,1,4,1],[6,1,5,1,7,-2,6,-1,5,-1]],[[2,2],[3,
1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[6,1,4,1,5,-1,4,1,5,-2,6,1]]],[[[
2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[4,1,5,-1,6,-1,5,-1,6,-1,
5,1,4,1,6,2,5,1]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[5,1,
4,1],[5,1,6,1,7,-2,6,-1,7,1,5,-1]]],[[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,
2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[4,2],[7,1,6,-2,7,1,4,1,6,1]],[[1,1,2,1],[3,2,
1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[4,2],[7,1,6,-1,7,-1,
6,1,4,1,6,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,-1],[1,1,2,1],[2,1,1,1],[
2,1,7,-1,6,3,7,-1],[5,2],[8,1,5,1,8,1],[10,1,9,-1,10,1,9,-1]],[[1,1,2,1],[2,1,
1,1],[3,1,2,1,4,-2,3,-1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,3,7,-1],[8,1,5,-2,8,
1]]],[[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,
1],[4,2],[7,1,6,1,4,1,6,3,7,1]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[
2,1,1,1,2,-1,5,2,2,1,5,1],[4,2],[7,1,6,-1,4,-1,6,1,7,1]]],[[[1,1,2,1],[2,1,1,
1],[3,2],[5,1,4,-1,1,1,2,-1,5,1,4,-1],[6,10],[1,1,2,-2,1,1,2,1],[7,-1],[8,1,7,
1,8,-1,9,-1,8,1,7,-1,8,1,9,-1]],[[1,1,2,1],[2,1,1,1],[3,2],[5,1,4,-1,1,1,2,-1,
5,1,4,-1],[6,10],[1,1,2,-2,1,1,2,1],[7,1,8,2,7,1,8,-2,7,1]]],[[[1,1,2,1],[3,2,
1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[4,2],[6,-1,7,1,6,1,4,
1,6,1]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,
1],[4,2],[7,1,6,-1,7,1,6,-2]]],[[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[
2,1,1,1,2,-1,5,2,2,1,5,1],[4,2],[7,1,6,1,4,-1,6,1,4,1,6,1,7,-1]],[[1,1,2,1],[
3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[4,2],[6,-1,4,1,6,
2]]],[[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,
1],[4,2],[4,1,6,-1,7,-1,4,1,6,2,7,-1]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,
1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[6,1,4,1,6,1],[7,1,4,-2,7,1]]],[[[1,1,2,1],[
3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[4,2],[4,1,6,1,7,
2,6,1,7,-1]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,
1,5,1],[4,2,6,1,4,1,6,2]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,
5,1],[4,1,5,-2,6,2,5,1,6,1]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,
5,1],[5,2,4,1,6,-2,5,-1,6,-1]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[5,
2],[6,1,5,1,4,1,6,1]]],[[[2,1,1,1],[2,1,3,1,2,-1,1,1,3,2],[4,4],[2,1,1,1,2,-1,
1,1],[5,1,6,1],[6,2,7,3,6,1,5,1]],[[2,1,1,1],[2,1,3,1,2,-1,1,1,3,2],[4,4],[2,
1,1,1,2,-1,1,1],[5,1,6,1],[6,1,5,1,7,-3,6,1,5,1]]],[[[2,2],[3,1,2,1,1,1,3,1],[
1,1,2,1,1,1,2,-1],[4,1,5,1],[5,2,6,3,5,1,4,1]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,
2,1,1,1,2,-1],[4,1,5,1],[5,1,4,1,6,-3,5,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,
1,4,-2,3,-1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,3,7,-1],[5,1,8,1],[8,1,9,2,5,-1,
9,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,-1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,
6,3,7,-1],[8,2,5,-2]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,-1],[1,1,2,1],[2,1,
1,1],[2,1,7,-1,6,3,7,-1],[8,1,5,-1,8,1,5,-2,8,2]],[[1,1,2,1],[2,1,1,1],[3,1,2,
1,4,-2,3,-1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,3,7,-1],[5,1,8,4,5,-1]]],[[[1,1,
2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[4,1,6,1],[
4,2,7,-1,6,-1,7,1,6,1]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,
2,-1,5,2,2,1,5,1],[6,1,4,-1,6,3,4,-2]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,
1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[4,2,6,1,4,1,6,2,4,1,6,-1]]],[[[1,1,2,1],[3,
2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[6,1,4,1],[6,1,7,1,
6,-1,4,-1,7,-1,4,-2]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,
-1,5,2,2,1,5,1],[4,1,6,1,4,-2,6,1,4,1]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,
1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[6,1,4,1],[4,1,6,1,7,-1,6,-1,4,2,7,1]]],[[[
1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[4,1,6,
2],[7,-2,4,2]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,
2,1,5,1],[6,1,4,1,6,-1,4,1,6,2]]],[[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,
1],[2,1,1,1,2,-1,5,2,2,1,5,1],[6,1,4,1,6,-1,4,-2,6,2]],[[1,1,2,1],[3,2,1,1,2,
-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[6,1,4,-2,6,1,4,-1]]],[[[1,
1,2,1],[3,1,1,1,2,1,1,1,3,-2],[2,1,1,1,2,-2,1,1,2,2],[5,1],[4,1,5,1],[7,2,4,1,
5,-1,7,-1,5,2,4,1],[6,1,8,1],[8,2,9,1,6,1,8,-1,9,1]],[[2,1,1,1,2,-2,1,1,2,2],[
3,-2]]],[[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,
1],[6,1,4,-1,6,1,4,2,6,-2,4,-1]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,
1],[2,1,1,1,2,-1,5,2,2,1,5,1],[4,-2,6,3,4,1,6,-1]]],[[[1,1,2,1],[3,2,1,1,2,-1,
1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[4,2,6,3,4,1,6,1]],[[1,1,2,1],[
3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[6,1,4,-2,6,1,4,
-1]]],[[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,
1],[4,2,6,1,4,1,6,2,4,1,6,-1]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[
2,1,1,1,2,-1,5,2,2,1,5,1],[4,1,6,2],[7,-2,4,2]]],[[[2,1,1,1],[2,1,3,1,2,-1,1,
1,3,2],[4,4],[2,1,1,1,2,-1,1,1],[5,1,6,1],[6,1,5,1],[6,2,7,1,8,1,6,-1,7,-2,8,
-1]],[[2,1,1,1],[2,1,3,1,2,-1,1,1,3,2],[4,4],[2,1,1,1,2,-1,1,1],[5,1,6,1],[6,
1,5,1],[6,1,7,1],[8,1,9,-1,7,-1,9,1,7,1,8,-1]],[[2,1,1,1],[2,1,3,1,2,-1,1,1,3,
2],[4,4]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[5,1,4,1],[
5,2,6,1,7,1,5,-1,6,-2,7,-1]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,
5,1],[5,1,4,1],[5,1,6,1],[7,1,8,-1,6,-1,8,1,6,1,7,-1]],[[2,2],[3,1,2,1,1,1,3,
1]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2],[2,1,1,1,2,-2,1,1,2,2],[4,1,5,-2,4,1,
5,2],[4,1,5,1],[4,1,5,-1,7,1,5,1,7,1],[6,-2],[8,-1,9,1,8,1]],[[1,1,2,1],[3,1,
1,1,2,1,1,1,3,-2],[2,1,1,1,2,-2,1,1,2,2],[4,1,5,-2,4,1,5,2],[4,1,5,1],[4,1,5,
-1,7,1,5,1,7,1],[6,-1,8,1,6,1,8,-1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2],[2,1,1,
1,2,-2,1,1,2,2],[4,1,5,-2,4,1,5,2],[6,-2]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,
1,1,1,2,-1],[4,1,5,1],[5,1,4,1],[6,1,5,1,7,-2,6,-1,5,-1]],[[2,2],[3,1,2,1,1,1,
3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[5,1,4,1],[6,2,7,-3,5,-1]]],[[[2,2],[3,1,2,
1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[5,1,6,4,5,1]],[[2,2],[3,1,2,1,1,1,3,
1],[1,1,2,1,1,1,2,-1],[4,1,5,-2,4,1,5,1]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,
1,2,-1],[4,1,5,-1,4,1,5,1,4,1]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,
-1],[4,1,5,1],[4,1,5,-2,6,2,4,1,5,1,4,1]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,
1,2,-1],[4,1,5,1],[6,1,5,1,4,1,6,-2,5,-1]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,
1,1,2,-1],[5,2],[6,1,5,1,4,1,6,1]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,
-1],[4,1,5,1],[4,1,5,-2,6,2,5,1,6,1]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,
-1],[5,1,4,1],[5,1,6,2,5,-2,4,1]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,
-1],[5,1,4,1,5,-1]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2],[2,1,1,1,2,-2,1,1,2,
2],[4,1,5,-2,4,1,5,2],[4,1,5,1],[4,1,5,-1,7,1,5,1,7,1],[6,-2,8,2,6,-1]],[[1,1,
2,1],[3,1,1,1,2,1,1,1,3,-2],[2,1,1,1,2,-2,1,1,2,2],[4,1,5,-2,4,1,5,2],[4,1,5,
1],[4,1,5,-1,7,1,5,1,7,1],[6,-1,8,-1,6,-1,8,-1,6,-1]],[[1,1,2,1],[3,1,1,1,2,1,
1,1,3,-2],[2,1,1,1,2,-2,1,1,2,2],[4,1,5,-2,4,1,5,2],[4,1,5,1],[4,1,5,-1,7,1,5,
1,7,1],[8,1,6,1,8,-1,6,1]]],[[[1,1,2,1],[2,1,1,1],[3,2],[5,1,4,-1,1,1,2,-1,5,
1,4,-1],[6,10],[1,1,2,-2,1,1,2,1],[7,-1],[9,1,8,-1,7,-1,8,-1,9,-1,8,1,7,1,8,
-1]],[[1,1,2,1],[2,1,1,1],[3,2],[5,1,4,-1,1,1,2,-1,5,1,4,-1],[6,10],[1,1,2,-2,
1,1,2,1],[8,2,7,-1,8,-2,7,-1]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[
4,1,5,1],[5,1,4,1],[4,1,5,-2,6,1,7,2,6,-1]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,
1,1,2,-1],[4,1,5,1],[6,2,5,1,4,1,5,-1,6,-2]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,
2,1,1,1,2,-1],[4,1,5,1],[5,1,4,1],[5,1,7,-1,6,-1,5,1,7,1,6,-1]],[[2,2],[3,1,2,
1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[4,1,5,-2,4,1,5,-1,6,2]]],[[[2,2],[3,
1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[4,1,5,-2,6,1,5,1,6,1,4,1,5,
-1]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,-1,4,1,5,2,4,1,5,
-2]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[5,1,4,1],[6,1,5,
1,7,-2,6,-1,5,-1]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[6,2,
4,1,5,-2,6,1]]],[[[2,1,1,1],[1,1,2,1,3,-2],[4,10],[2,1,1,1],[2,2,6,-2,2,-1,1,
1],[7,2,5,-1,7,2,5,1]],[[2,1,1,1],[1,1,2,1,3,-2],[4,10],[2,1,1,1],[2,2,6,-2,2,
-1,1,1],[5,1,7,-2,5,-1]]],[[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,
1,1,2,-1,5,2,2,1,5,1],[4,1,6,-2,4,1,6,2,4,-2]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,
-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[6,2,4,1,6,-2,4,-1]]],[[[1,1,2,1],[2,
1,1,1],[3,1,2,1,4,-2,3,-1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,3,7,-1],[5,1,8,1,5,
1,8,-2]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,-1],[1,1,2,1],[2,1,1,1],[2,1,7,
-1,6,3,7,-1],[8,1,5,1],[9,2,8,-1]]],[[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,
2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[4,1,6,1],[6,1,7,-2,6,1]],[[1,1,2,1],[3,2,1,1,
2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[6,1,4,2,6,-1,4,-2]]],[[[
1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[4,2],[
7,1,6,1,7,-1,6,2,4,1]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,
2,-1,5,2,2,1,5,1],[4,-1,6,1,4,-1,6,1]]],[[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[
1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[4,2],[7,1,4,1,6,2,7,-1,6,-1]],[[1,1,2,
1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[4,2],[6,-1,7,
1,6,1,4,1,6,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,-1],[1,1,2,1],[2,1,1,
1],[2,1,7,-1,6,3,7,-1],[5,1,8,1],[8,1,9,2]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,
3,4,-1],[5,4]]],[[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,
2,2,1,5,1],[4,2],[4,1,6,1,7,2,6,1,7,-1]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[
1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[6,1,4,1,6,-1,4,1,6,2,4,-2]],[[1,1,2,1],[
3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[4,1,6,1],[7,1,6,
1,7,1,6,1]]],[[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,
2,1,5,1],[4,2],[6,-1,7,1,6,-2,4,-1]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,
2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[6,1,4,1,6,2]]],[[[1,1,2,1],[3,2,1,1,2,-1,1,1,
2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[6,1,4,-1,6,1,4,-2,6,-2]],[[1,1,2,
1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[4,2],[6,-1,4,
1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,-1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,
6,3,7,-1],[8,1,5,-1],[9,1,8,1,9,1,8,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,
-1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,3,7,-1],[8,4,5,1]]],[[[1,1,2,1],[3,2,1,1,
2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[6,1,4,1],[6,1,7,1,6,1,7,
1]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[
4,2,6,3]]],[[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,
1,5,1],[4,2],[7,1,6,1,7,-1,6,-2]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,
1],[2,1,1,1,2,-1,5,2,2,1,5,1],[4,1,6,1],[7,1,6,1,7,1,6,1]]],[[[2,1,1,1],[2,1,
3,1,2,-1,1,1,3,2],[4,4],[2,1,1,1,2,-1,1,1],[5,1,6,1],[5,1,6,-1,7,2,5,1,6,1,5,
1]],[[2,1,1,1],[2,1,3,1,2,-1,1,1,3,2],[4,4],[2,1,1,1,2,-1,1,1],[5,1,6,1],[5,1,
6,-1,7,-3,6,-1]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[4,1,
5,-1,6,2,4,1,5,1,4,1]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[
4,1,5,-1,6,-3,5,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,-1],[1,1,2,1],[2,
1,1,1],[2,1,7,-1,6,3,7,-1],[5,1,8,2,5,-2,8,2]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,
4,-2,3,-1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,3,7,-1],[5,2],[8,-1,9,1,8,1]]],[[[
1,1,2,1],[2,1,1,1],[3,2],[5,1,4,-1,1,1,2,-1,5,1,4,-1],[6,10],[1,1,2,-2,1,1,2,
1],[7,1,8,-1,7,-1,8,1,7,1]],[[1,1,2,1],[2,1,1,1],[3,2],[5,1,4,-1,1,1,2,-1,5,1,
4,-1],[6,10],[1,1,2,-2,1,1,2,1],[8,1,7,1,8,-1,7,1]]],[[[1,1,2,1],[2,1,1,1],[3,
1,2,1,3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-2,3,-1],[1,1,2,1],[
2,1,6,1,2,1,1,1,2,2,6,1],[7,1,5,1,7,1,5,1,7,1,5,1,7,1,5,-1,7,-1,5,-1,7,-1],[8,
-1,5,1,8,2]]],[[[2,1,1,1],[2,1,3,1,2,-1,1,1,3,2],[4,4],[2,1,1,1,2,-1,1,1],[6,
1,5,1],[6,2,5,1,6,1,7,-2,6,-1]],[[2,1,1,1],[2,1,3,1,2,-1,1,1,3,2],[4,4],[2,1,
1,1,2,-1,1,1],[6,1,5,1,6,-1,5,1,6,-2,5,1,6,1]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,
1,2,1,1,1,2,-1],[5,1,4,1],[5,2,4,1,5,1,6,-2,5,-1]],[[2,2],[3,1,2,1,1,1,3,1],[
1,1,2,1,1,1,2,-1],[5,1,4,1,5,-1,4,1,5,-2,4,1,5,1]]],[[[1,1,2,1],[2,1,1,1],[3,
1,2,1,4,-2,3,-1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,3,7,-1],[8,1,5,1,8,1,5,-2,8,
1,5,-1,8,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,-1],[1,1,2,1],[2,1,1,1],[2,
1,7,-1,6,3,7,-1],[5,2,8,1,5,1,8,1,5,-1,8,1]]],[[[2,1,1,1],[1,1,2,1,3,-2],[4,
10],[2,1,1,1],[2,2,6,-2,2,-1,1,1],[5,1,7,-1,5,1,7,1]],[[2,1,1,1],[1,1,2,1,3,
-2],[4,10],[2,1,1,1],[2,2,6,-2,2,-1,1,1],[5,1,7,1,5,1,7,-1]]],[[[2,2],[3,1,2,
1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[5,1,4,1],[5,1,6,2,7,2,5,2]],[[2,2],[
3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[6,2,5,1,4,1,5,-2,6,1]],[[2,2],[
3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[4,1,5,-2,6,1,5,1,6,2]]],[[[2,
2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[5,1,4,1],[5,1,7,-1,6,-1,5,
1,7,1,6,-1]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[6,2,4,1,5,
-2,6,1]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[5,1,6,2,4,1,
5,-2]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[5,1,4,1],[6,1,5,-1,4,1,6,
1]]],[[[2,2,1,1],[3,6],[1,1,2,1],[2,1,5,1,2,1,1,1,2,2,5,1],[4,1,6,1],[6,1,7,4,
4,1,6,-1]],[[2,2,1,1],[3,6]]],[[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[
2,1,1,1,2,-1,5,2,2,1,5,1],[4,2],[4,1,6,1],[7,1,6,-1,8,-1,7,1,6,1,8,1]],[[1,1,
2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[4,2],[7,1,
6,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,-1],[1,1,2,1],[2,1,1,1],[2,1,
7,-1,6,3,7,-1],[5,2],[8,1,5,1,8,1],[10,1,9,-1,10,1,9,-1]],[[1,1,2,1],[2,1,1,
1],[3,1,2,1,4,-2,3,-1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,3,7,-1],[8,1,5,-2,8,
1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,-1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,
3,7,-1],[5,2],[9,2,8,-3,9,-1]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[
4,1,5,1],[6,2,5,1,6,1,4,1,5,-2]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[
4,1,5,1],[5,1,6,1],[7,1,6,2,7,1]]],[[[2,2,1,1],[3,6],[1,1,2,1],[2,1,5,1,2,1,1,
1,2,2,5,1],[4,1,6,1],[7,2,6,1,4,1,6,-1,7,1]],[[2,2,1,1],[3,6],[1,1,2,1],[2,1,
5,1,2,1,1,1,2,2,5,1],[4,1,6,-2,4,1]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2],[2,1,
1,1,2,-2,1,1,2,2],[5,1],[4,1,5,1],[7,2,4,1,5,-1,7,-1,5,2,4,1],[6,2],[8,-1,9,1,
8,1]],[[2,-2,1,-1,2,2,1,-1,2,-1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2],[2,1,1,1,
2,-2,1,1,2,2],[5,1],[4,1,5,1],[7,2,4,1,5,-1,7,-1,5,2,4,1],[8,1,6,-2,8,
-1]]],[[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,
1],[6,2,4,-1,6,1,4,1,6,1,4,2]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[
2,1,1,1,2,-1,5,2,2,1,5,1],[4,-1,6,1,4,-1,6,1]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,
-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[6,1,4,1],[6,1,7,-2,6,-1]],[[1,1,2,
1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[6,3,4,-1,6,
-1]]],[[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,
1],[6,1,4,-1,6,1,4,1,6,2]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,
1,1,2,-1,5,2,2,1,5,1],[4,1,6,2,4,1]]],[[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,
1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[6,2,4,1,6,2,4,-2]],[[1,1,2,1],[3,2,1,1,2,
-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[6,1,4,-1,6,1,4,1,6,2]]],[[[
1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[4,2],[
7,2,6,1,7,-1,6,-1]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,
-1,5,2,2,1,5,1],[6,1,4,1,6,2,4,1,6,-1]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,
1,2,-1],[5,1,4,1],[6,1,5,-2,4,1,5,2,6,-1]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,
1,1,2,-1],[4,1,5,1],[6,1,5,1,6,2,5,1,4,1]]],[[[2,2,1,1],[3,6],[1,1,2,1],[2,1,
5,1,2,1,1,1,2,2,5,1],[6,1,4,1],[6,1,7,3,6,-1,4,1,6,-2]],[[2,2,1,1],[3,6],[1,1,
2,1],[2,1,5,1,2,1,1,1,2,2,5,1],[6,-2],[7,1,6,1,4,1,7,1,4,1,6,1]]],[[[2,1,1,
1],[2,1,3,1,2,-1,1,1,3,2],[4,4],[2,1,1,1,2,-1,1,1],[5,1,6,1],[7,1,6,1,7,2,5,1,
6,-1]],[[2,1,1,1],[2,1,3,1,2,-1,1,1,3,2],[4,4],[2,1,1,1,2,-1,1,1],[6,1,5,1,6,
1,5,1]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[6,1,5,1,6,2,
4,1,5,-1]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[5,1,4,1,5,1,4,1]]],[[[
2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[4,1,5,-1,6,-3,5,-1]],[[2,
2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1,4,1,5,-1]]],[[[2,1,1,1],[2,1,
3,1,2,-1,1,1,3,2],[4,4],[2,1,1,1,2,-1,1,1],[5,1,6,1],[5,1,6,-1,7,-3,6,-1]],[[
2,1,1,1],[2,1,3,1,2,-1,1,1,3,2],[4,4],[2,1,1,1,2,-1,1,1],[5,1,6,1,5,1,6,
-1]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[5,1,4,1],[6,2,7,
-3,5,-1]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[5,1,4,1,5,-1]],[[2,2],[
3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[5,1,4,1],[4,1,5,-1,7,-2,6,
-2]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[5,1,4,1],[4,1,5,-2,4,1,5,
1,6,2]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[6,1,5,1,4,1,6,
-2,5,-1]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[5,1,4,1],[6,1,5,-2,4,1,
5,2,6,-1]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[5,1,4,1],[
4,1,5,-2,6,1,7,2,6,-1]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,
1],[5,1,6,1],[7,1,6,1,7,1]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,
5,-1,4,1,5,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,2],[5,1,4,-1,1,1,2,-1,5,1,4,-1],[
6,10],[1,1,2,-2,1,1,2,1],[7,1,8,1],[9,1,8,2,9,1,7,-1]],[[1,1,2,1],[2,1,1,1],[
3,2],[5,1,4,-1,1,1,2,-1,5,1,4,-1],[6,10],[1,1,2,-2,1,1,2,1],[8,3,7,1,8,
1]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[4,1,5,-2,6,2,5,1,
6,1]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[5,1,4,1],[5,1,6,2,5,-2,4,
1]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[6,2,5,1,4,1,5,-1,6,
-2]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[4,1,5,-2,6,
3]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[6,1,5,1,4,1,6,-2,5,
-1]],[[2,2],[3,1,2,1,1,1,3,1]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[
4,1,5,1],[4,1,5,-2,6,2,5,1,6,1]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[
5,1,4,1],[6,1,5,-2,4,1,5,2,6,-1]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,
-1],[5,2],[6,1,5,1,4,1,6,1]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[5,
1,4,1],[6,1,5,-2,4,1,5,2,6,-1]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[
4,1,5,1],[5,2,6,2,5,1]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[5,2],[6,
1,5,1,4,1,6,1]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[4,1,
5,-2,6,3,4,1,5,-1]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[5,
1,4,1],[6,2,7,-3,5,-1]]],[[[2,1,1,1],[2,1,3,1,2,-1,1,1,3,2],[4,4],[2,1,1,1,2,
-1,1,1],[5,1,6,1],[5,1,6,-2,7,3,5,1,6,-1]],[[2,1,1,1],[2,1,3,1,2,-1,1,1,3,2],[
4,4],[2,1,1,1,2,-1,1,1],[5,1,6,1],[6,1,5,1],[7,2,8,-3,6,-1]]],[[[2,2],[3,1,2,
1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[6,1,5,1,4,1,5,-2,6,1]],[[2,2],[3,1,2,
1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[5,2,6,2,5,1]]],[[[2,2],[3,1,2,1,1,1,
3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[5,1,4,1],[5,1,7,-1,6,1,5,1,6,1,7,1]],[[2,
2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[5,1,4,1],[6,2,5,-1,4,1,5,-2]]],[[[2,
1,1,1],[2,1,3,1,2,-1,1,1,3,2],[4,4],[2,1,1,1,2,-1,1,1],[5,1,6,1],[6,1,7,1],[7,
1,8,2]],[[2,1,1,1],[2,1,3,1,2,-1,1,1,3,2],[4,4],[2,1,1,1,2,-1,1,1],[5,1,6,-1,
5,1,6,1,5,1]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[5,1,6,
1],[6,1,7,2]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,-1,4,1,5,1,4,
1]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2],[2,1,1,1,2,-2,1,1,2,2],[4,1,5,-2,4,1,
5,2],[4,1,5,1],[4,1,5,-1,7,1,5,1,7,1],[6,-1,8,1,6,-1,8,-1]],[[1,1,2,1],[3,1,1,
1,2,1,1,1,3,-2],[2,1,1,1,2,-2,1,1,2,2],[4,1,5,-2,4,1,5,2],[6,-2]],[[1,1,2,1],[
3,1,1,1,2,1,1,1,3,-2],[2,1,1,1,2,-2,1,1,2,2],[4,1,5,1],[4,1,5,-1,6,1,5,1,6,
1],[7,2,5,-2,4,-1,5,2,4,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,-1],[1,1,
2,1],[2,1,1,1],[2,1,7,-1,6,3,7,-1],[5,2],[5,1,8,1],[9,1,8,1,10,1,9,1,8,-1,10,
-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,-1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,
3,7,-1],[5,2],[9,1,8,3,5,1,8,1,9,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,
-1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,3,7,-1],[5,2],[5,1,8,1],[9,1,8,1,10,1,9,
-1,8,-1,10,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,-1],[1,1,2,1],[2,1,1,1],[
2,1,7,-1,6,3,7,-1],[5,1,8,1,5,1,8,-1]]],[[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[
1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[4,2],[7,1,6,-1,4,-1,6,-1,7,-1]],[[1,1,2,
1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[6,1,4,1,6,
2]]],[[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,
1],[6,1,4,-1,6,-1,4,-2,6,-2]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,
1,1,1,2,-1,5,2,2,1,5,1],[4,-2,6,3,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,
3,-1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,3,7,-1],[5,2],[9,1,8,-2,9,1,8,1,9,
-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,-1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,
3,7,-1],[5,2,8,3,5,1]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2],[2,1,1,1,2,-2,1,1,
2,2],[5,1],[4,1,5,1],[7,2,4,1,5,-1,7,-1,5,2,4,1],[6,2],[8,-1,9,1,6,1,8,1]],[[
2,-2,1,-1,2,2,1,-1,2,-1]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-1,1,1,2,-1,3,2,2,1],[4,
2],[1,1,2,-1],[6,2,1,1,2,1],[7,6],[5,-1],[8,1,5,1],[9,1,10,1,8,-1,9,-1,8,1,10,
-1]],[[1,1,2,-1],[3,2,1,1,2,1],[4,6]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,
-1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,3,7,-1],[8,1,5,-1,8,1,5,-2,8,1,5,-1]],[[1,
1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,-1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,3,7,-1],[
8,1,5,-2,8,1]]],[[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,
2,2,1,5,1],[4,2],[6,2,7,-1,6,1,4,1,6,1,7,1]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,
-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[4,2,6,1,4,1,6,2,4,1,6,-1]],[[1,1,2,
1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[6,1,4,-1,6,3,
4,-2]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,
1],[4,1,6,1],[4,2,7,-1,6,-1,7,1,6,1]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2],[2,
1,1,1,2,-2,1,1,2,2],[5,-2],[4,1,5,1],[7,1,4,1,5,1,4,1,5,-1,7,-1],[8,1,6,1,8,1,
6,1,8,1,6,1,8,-1]],[[2,1,1,1,2,-2,1,1,2,2],[3,2]],[[1,1,2,1],[3,1,1,1,2,1,1,1,
3,-2],[2,1,1,1,2,-2,1,1,2,2],[5,-2],[4,1,5,1],[7,1,4,1,5,1,4,1,5,-1,7,-1],[8,
-2,6,1,8,-2,6,1]]],[[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,
-1,5,2,2,1,5,1],[4,2,6,-1,4,-2,6,-1]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,
2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[6,1,4,1,6,2,4,-1,6,1]],[[1,1,2,1],[3,2,1,1,2,
-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[4,-2,6,2,4,-1]]],[[[2,1,1,
1],[1,1,2,1,3,-2],[4,10],[2,1,1,1],[2,2,6,-2,2,-1,1,1],[7,1,5,1,7,-1,5,1]],[[
2,1,1,1],[1,1,2,1,3,-2],[4,10],[2,1,1,1],[2,2,6,-2,2,-1,1,1],[5,1,7,1,5,1,7,
-1]],[[2,1,1,1],[2,2,3,-2,2,-1,1,1],[4,-4]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,3,
-2],[2,1,1,1,2,-2,1,1,2,2],[4,1,5,-2,4,1,5,2],[4,1,5,1],[4,1,5,-1,7,1,5,1,7,
1],[8,1,6,-1,8,1,6,1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2],[2,1,1,1,2,-2,1,1,2,
2],[4,1,5,1],[4,1,5,-1,6,1,5,1,6,1],[7,2]],[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2],[
2,1,1,1,2,-2,1,1,2,2],[4,1,5,-2,4,1,5,2],[6,-2]]],[[[2,2],[3,1,2,1,1,1,3,1],[
1,1,2,1,1,1,2,-1],[5,1,4,1],[6,1,5,-2,4,1,5,2,6,-1]],[[2,2],[3,1,2,1,1,1,3,
1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[5,1,6,1,4,1,5,-2,6,1]],[[2,2],[3,1,2,1,1,1,3,
1]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[5,1,4,1],[6,1,5,-2,4,1,5,2,
6,-1]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[5,1,4,1],[6,1,4,1,5,1,6,
-1,5,-1]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[6,2,4,1,5,-2,
6,1]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[5,1,4,1,6,-3,5,
1,4,1]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[6,1,5,1,4,1,5,
-1,6,-1,5,-1]]],[[[2,1,1,1],[2,1,3,1,2,-1,1,1,3,2],[4,4],[2,1,1,1,2,-1,1,1],[
5,1,6,1],[6,1,5,1,7,-3,6,1,5,1]],[[2,1,1,1],[2,1,3,1,2,-1,1,1,3,2],[4,4],[2,1,
1,1,2,-1,1,1],[5,1,6,1],[7,1,6,1,5,1,6,-1,7,-1,6,-1]]],[[[1,1,2,1],[3,2,1,1,2,
-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[6,1,4,1],[6,1,7,1,6,1,7,
1]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[
6,1,4,1,6,2,4,-1,6,1]]],[[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,
1,2,-1,5,2,2,1,5,1],[6,3,4,1,6,1,4,2]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,
1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[6,1,4,1],[6,1,7,1,6,1,7,1]]],[[[1,1,2,1],[
3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[4,1,6,1,4,-2,6,1,
4,1]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,
1],[4,-1,6,2]]],[[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,
2,2,1,5,1],[6,1,4,-1,6,1,4,1,6,2]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,
1],[2,1,1,1,2,-1,5,2,2,1,5,1],[4,2,6,-1,4,-1,6,1,4,1]],[[1,1,2,1],[3,2,1,1,2,
-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[4,1,6,-1,4,-1,6,-1,4,
-2]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2],[2,1,1,1,2,-2,1,1,2,2],[4,1,5,1],[6,
2,4,1,5,-1,6,-1,5,2,4,1],[7,-2,5,-1,7,1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2],[
2,1,1,1,2,-2,1,1,2,2],[5,1],[4,1,5,1],[7,2,4,1,5,-1,7,-1,5,2,4,1],[8,1,6,-2,8,
-1]],[[2,1,1,1,2,-2,1,1,2,2],[3,2]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,
-1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,3,7,-1],[8,2,5,-2]],[[1,1,2,1],[2,1,1,1],[
3,1,2,1,4,-2,3,-1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,3,7,-1],[5,1,8,1,5,
-1]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[6,2,5,1,6,2,5,1,
4,1]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[5,1,4,1],[6,1,5,-2,4,1,5,2,
6,-1]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[5,1,4,1],[5,2,4,1,5,1,6,
2]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[6,1,5,1,4,1,5,1,6,
1]]],[[[2,1,1,1],[2,1,3,1,2,-1,1,1,3,2],[4,4],[2,1,1,1,2,-1,1,1],[6,1,5,1],[6,
2,5,1,6,1,7,2]],[[2,1,1,1],[2,1,3,1,2,-1,1,1,3,2],[4,4],[2,1,1,1,2,-1,1,1],[5,
1,6,1],[7,1,6,1,5,1,6,1,7,1]]],[[[2,1,1,1],[2,1,3,1,2,-1,1,1,3,2],[4,4],[2,1,
1,1,2,-1,1,1],[5,1,6,1],[6,1,5,1,7,-2,6,1,7,2]],[[2,1,1,1],[2,1,3,1,2,-1,1,1,
3,2],[4,4],[2,1,1,1,2,-1,1,1],[5,1,6,1],[6,1,7,1,6,1,5,1,6,-1,7,-2]]],[[[2,
2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[5,1,4,1,6,-2,5,1,6,2]],[[2,
2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[5,1,6,1,5,1,4,1,5,-1,6,
-2]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[5,1,6,1,4,1,5,
-1,6,-1,5,2,4,1]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[5,1,
4,1,6,-2]]],[[[2,1,1,1],[2,1,3,1,2,-1,1,1,3,2],[4,4],[2,1,1,1,2,-1,1,1],[5,1,
6,1],[6,1,7,1,5,1,6,-1,7,-1,6,2,5,1]],[[2,1,1,1],[2,1,3,1,2,-1,1,1,3,2],[4,
4],[2,1,1,1,2,-1,1,1],[5,1,6,1],[6,1,5,1,7,-2]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,
3,-2],[2,1,1,1,2,-2,1,1,2,2],[5,1],[4,1,5,1],[7,2,4,1,5,-1,7,-1,5,2,4,1],[8,1,
6,-2,8,2,6,1]],[[2,1,1,1,2,-2,1,1,2,2],[3,-3]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,
1,2,1,1,1,2,-1],[4,1,5,1],[5,1,6,1],[7,1,5,1,4,1,7,1,6,1]],[[2,2],[3,1,2,1,1,
1,3,1],[1,1,2,1,1,1,2,-1],[5,-1,4,1,5,1]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,3,
-2],[2,1,1,1,2,-2,1,1,2,2],[4,1,5,1],[6,2,5,1,4,1,5,-1,6,-1],[7,2]],[[2,1,1,1,
2,-2,1,1,2,2],[3,-3]]],[[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,
2,-1,5,2,2,1,5,1],[4,2],[6,2],[7,1,8,-2,7,-1]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,
-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[6,1,4,2,6,-1,4,2]]],[[[1,1,2,1],[3,
2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[4,1,6,-4,4,-1]],[[
1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[6,1,4,
1,6,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,-1],[1,1,2,1],[2,1,1,1],[2,1,
7,-1,6,3,7,-1],[5,1,8,2],[9,2,5,-2]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,
-1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,3,7,-1],[8,1,5,-2,8,1]]],[[[2,1,1,1],[1,1,
2,1,3,-2],[4,10],[2,1,1,1],[2,2,6,-2,2,-1,1,1],[7,1,5,1,7,-1]],[[2,1,1,1],[1,
1,2,1,3,-2],[4,10]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[
6,1,4,1,5,-1,4,1,5,-2,6,1]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,
5,1],[4,1,5,-2,4,1,5,-1,6,2]]],[[[2,1,1,1],[2,1,3,1,2,-1,1,1,3,2],[4,4],[2,1,
1,1,2,-1,1,1],[5,1,6,1],[7,1,5,1,6,-1,5,1,6,-2,7,1]],[[2,1,1,1],[2,1,3,1,2,-1,
1,1,3,2],[4,4],[2,1,1,1,2,-1,1,1],[5,1,6,1],[5,1,6,-2,5,1,6,-1,7,2]]],[[[2,
2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[5,1,4,1],[6,1,5,1,7,-2,6,
-1,5,-1]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[6,2,4,1,5,-2,
6,1]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[5,1,4,1],[6,1,4,1,5,1,6,-1,
5,-1]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[6,1,5,1,4,1,5,
-2,6,1]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[5,2],[6,1,5,1,4,1,6,
1]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[5,1,4,1],[5,1,7,
2,6,-2,5,-1]],[[2,2],[3,1,2,1,1,1,3,1]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,
1,2,-1],[4,1,5,1],[5,1,4,1],[5,1,7,-1,6,-1,5,1,6,1,7,-1]],[[2,2],[3,1,2,1,1,1,
3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[6,1,5,1,4,1,5,-2,6,1]],[[2,2],[3,1,2,1,1,1,
3,1],[1,1,2,1,1,1,2,-1],[5,1,4,1],[5,2,4,1,5,1,6,-2,5,-1]]],[[[1,1,2,1],[3,1,
1,1,2,1,1,1,3,-2],[2,1,1,1,2,-2,1,1,2,2],[4,1,5,1],[6,2,4,1,5,-1,6,-1,5,2,4,
1],[5,-1,7,2]],[[2,1,1,1,2,-2,1,1,2,2],[3,2]]],[[[1,1,2,1],[3,2,1,1,2,-1,1,1,
2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[4,2],[4,1,6,1,7,2,6,1,7,-1]],[[1,
1,2,1],[2,1,1,1,2,-1,3,2,2,1,3,1],[4,-4]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[
1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[4,1,6,1],[4,2,7,-1,6,-1,7,1,6,1]],[[1,1,
2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[4,2,6,1,4,
1,6,2,4,1,6,-1]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,
2,2,1,5,1],[6,1,4,1,6,1,4,1]]],[[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[
2,1,1,1,2,-1,5,2,2,1,5,1],[4,2,6,-1,4,-1,6,1,4,1]],[[1,1,2,1],[2,1,1,1,2,-1,3,
2,2,1,3,1],[4,-4]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,
5,2,2,1,5,1],[6,1,4,-2,6,-1,4,-1]]],[[[2,1,1,1],[1,1,2,1,3,-2],[4,10],[2,1,1,
1],[2,2,6,-2,2,-1,1,1],[7,1,5,1,7,-1,5,1]],[[2,1,1,1],[1,1,2,1,3,-2],[4,10],[
2,1,1,1],[2,2,6,-2,2,-1,1,1],[5,1,7,-1,5,1,7,-1]],[[2,1,1,1],[2,2,3,-2,2,-1,1,
1],[4,-2]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2],[2,1,1,1,2,-2,1,1,2,2],[4,1,5,
1],[4,1,5,-1,6,1,5,1,6,1],[7,1,5,-2,4,-1,5,2,4,-1,7,-1]],[[1,1,2,1],[3,1,1,1,
2,1,1,1,3,-2],[2,1,1,1,2,-2,1,1,2,2],[4,1,5,1],[4,1,5,-1,6,1,5,1,6,1],[7,
2]],[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2],[2,1,1,1,2,-2,1,1,2,2],[5,-2,4,-1,5,2,4,
-1]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2],[2,1,1,1,2,-2,1,1,2,2],[4,1,5,-2,4,1,
5,2],[4,1,5,1],[4,1,5,-1,7,1,5,1,7,1],[6,1,8,1,6,-1]],[[1,1,2,1],[3,1,1,1,2,1,
1,1,3,-2],[2,1,1,1,2,-2,1,1,2,2],[4,1,5,1],[4,1,5,-1,6,1,5,1,6,1]]],[[[1,1,2,
1],[2,1,1,1],[3,2],[5,1,4,-1,1,1,2,-1,5,1,4,-1],[6,10],[1,1,2,-2,1,1,2,1],[8,
3,7,1,8,1]],[[1,1,2,1],[2,1,1,1],[3,2],[5,1,4,-1,1,1,2,-1,5,1,4,-1],[6,
10]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[5,1,6,1,5,1,4,1,
5,-1,6,-2]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[6,2,4,1,5,
-2,6,1]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[5,2,6,2,5,1,
6,1]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[6,2,4,1,5,-2,6,
1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,
2,1,3,1,4,-2,3,-1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,2,6,1],[7,1,5,1,7,-1,5,-1,7,1,
5,1,7,-2,5,1,7,1],[8,-2,5,1,8,-1]]],[[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,
2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[4,2],[6,1,4,1,6,1,7,1,6,-1,7,1]],[[1,1,2,1],[
3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[4,2],[7,1,6,1,4,
-1,6,1,7,1]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,
1,5,1],[4,1,6,-3,4,1,6,-1]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2],[2,1,1,1,2,-2,
1,1,2,2],[5,1],[4,1,5,1],[7,2,4,1,5,-1,7,-1,5,2,4,1],[6,1,8,-1,6,-1,8,1]],[[2,
-2,1,-1,2,2,1,-1,2,-1]]],[[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,
1,2,-1,5,2,2,1,5,1],[4,2],[7,1,6,1,7,1]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[
1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[4,1,6,3]]],[[[1,1,2,1],[3,2,1,1,2,-1,1,1,
2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[4,1,6,1],[6,1,7,1,6,1,7,1]],[[1,1,
2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[4,-1,6,1,4,
-1,6,1]],[[1,1,2,1],[2,1,1,1,2,-1,3,2,2,1,3,1],[4,-4]]],[[[1,1,2,1],[3,2,1,1,
2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[6,1,4,2,6,-1,4,-1]],[[1,
1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[4,1,6,-1,
4,1,6,-1]]],[[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,
1,5,1],[4,1,6,-1,4,1,6,-1]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,
1,1,2,-1,5,2,2,1,5,1],[4,-1,6,2]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,-1],[
1,1,2,1],[2,1,1,1],[2,1,7,-1,6,3,7,-1],[5,1,8,1,5,1,8,-1]],[[1,1,2,1],[2,1,1,
1],[3,1,2,1,4,-2,3,-1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,3,7,-1],[8,1,5,-1,8,1,
5,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,-1],[1,1,2,1],[2,1,1,1],[2,1,7,
-1,6,3,7,-1],[8,1,5,1],[5,2,9,2]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,-1],[1,
1,2,1],[2,1,1,1],[2,1,7,-1,6,3,7,-1],[5,1,8,-2,5,-1]]],[[[1,1,2,1],[2,1,1,1],[
3,1,2,1,3,1,4,-2,3,-1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,2,6,1],[7,1,5,1],[5,1,7,
-1,8,-3,7,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-2,3,-1],[1,1,2,1],[2,1,6,
1,2,1,1,1,2,2,6,1],[7,-2],[8,1,7,1,5,1,8,1,5,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[
3,2],[5,1,4,-1,1,1,2,-1,5,1,4,-1],[6,10],[1,1,2,-2,1,1,2,1],[8,1,7,1,8,-1,7,
-1,8,-1,7,1]],[[1,1,2,1],[2,1,1,1],[3,2],[5,1,4,-1,1,1,2,-1,5,1,4,-1],[6,10],[
7,1,1,1,2,-2,1,1,2,1],[8,1,7,-1,8,-1]]],[[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[
1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[6,1,4,-1,6,-2]],[[1,1,2,1],[3,2,1,1,2,-1,
1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[6,1,4,1,6,1,4,1]]],[[[1,1,2,
1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[6,2,4,1,6,
-2]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[
4,-1,6,1,4,-1]]],[[[2,1,1,1,2,-2,1,1,2,2],[3,-3]],[[1,1,2,1],[3,1,1,1,2,1,1,1,
3,-2],[2,1,1,1,2,-2,1,1,2,2],[4,1,5,1],[4,1,5,-1,6,1,5,1,4,1,5,-1,6,1]]],[[[2,
1,1,1,2,-2,1,1,2,2],[3,-3]],[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2],[2,1,1,1,2,-2,1,
1,2,2],[4,1,5,1],[6,2,5,1,4,1,5,-1,6,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,
-2,3,-1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,3,7,-1],[8,1,5,-1,8,1,5,-2,8,1,5,
-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,-1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,
3,7,-1],[5,1,8,2],[9,2,5,-2]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,-1],[1,1,2,
1],[2,1,1,1],[2,1,7,-1,6,3,7,-1],[8,1,5,-2,8,1]]],[[[2,2,1,1],[3,6],[1,1,2,
1],[2,1,5,1,2,1,1,1,2,2,5,1],[4,1,6,1],[6,1,4,1],[7,2,6,1,7,1,8,2]],[[2,2,1,
1],[3,6],[1,1,2,1],[2,1,5,1,2,1,1,1,2,2,5,1],[4,1,6,1],[6,1,4,1,7,-2,6,1,7,
1]]],[[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,
1],[6,2,4,1,6,2,4,-2]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,
2,-1,5,2,2,1,5,1],[4,2,6,2]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,
1,1,1,2,-1,5,2,2,1,5,1],[6,1,4,1,6,2,4,1,6,-1]]],[[[2,1,1,1],[2,2,3,-2,2,-1,1,
1],[4,-4]],[[2,1,1,1],[1,1,2,1,3,-2],[4,10]]],[[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,
-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[4,2,6,-1,4,-1,6,1,4,-1]],[[1,1,2,
1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[6,1,4,-2,6,
-1,4,-1]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[5,1,4,1],[6,1,4,1,5,
1,6,-1,5,-1]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[5,1,4,1,
6,-2]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[5,-1,4,1,5,1]]],[[[1,1,2,
1],[3,1,1,1,2,1,1,1,3,-2],[2,1,1,1,2,-2,1,1,2,2],[4,1,5,1],[5,1,4,1],[7,1,6,
-1,5,-1,6,2,7,-1],[4,1,5,-1],[9,2,4,1,5,1],[8,1,10,1],[11,2,8,1,10,-1,11,-1,
10,-1,11,-1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2],[2,1,1,1,2,-2,1,1,2,2],[4,1,5,
-1],[6,2,4,1,5,1]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[5,1,4,1],[6,
2,5,-2]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[5,-1,4,1,5,1]],[[2,2],[
3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[5,1,4,1,5,-1]]],[[[2,1,1,1],[2,1,3,1,2,
-1,1,1,3,2],[4,4],[2,1,1,1,2,-1,1,1],[6,1,5,1],[7,2,6,-2]],[[2,1,1,1],[2,1,3,
1,2,-1,1,1,3,2],[4,4],[2,1,1,1,2,-1,1,1],[6,-1,5,1,6,1]],[[2,1,1,1],[2,1,3,1,
2,-1,1,1,3,2],[4,4],[2,1,1,1,2,-1,1,1],[6,1,5,1,6,-1]]],[[[1,1,2,1],[3,2,1,1,
2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[4,1,6,1],[7,1,6,2,7,
1]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[
6,1,4,-1,6,1,4,-1]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,
-1,5,2,2,1,5,1],[4,2],[6,-1,7,-1,6,-1,4,-1]]],[[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,
-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[4,2],[7,1,6,1,7,1,6,-2,4,-1]],[[1,1,
2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[6,1,4,
-1]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[
4,2,6,1,4,-1,6,1,4,-1,6,1]]],[[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,
1,1,1,2,-1,5,2,2,1,5,1],[6,1,4,1,6,-1,4,1,6,-2]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,
2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[6,1,4,-2,6,1,4,-1]],[[1,1,2,1],[3,
2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[4,1,6,1,4,1,6,
1]]],[[[2,1,1,1],[1,1,2,1,3,-2],[4,10],[2,1,1,1],[2,2,6,-2,2,-1,1,1],[5,1,7,
-1,5,1]],[[2,1,1,1],[2,2,3,-2,2,-1,1,1]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2],[
2,1,1,1,2,-2,1,1,2,2],[4,1,5,-2,4,1,5,2]],[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2],[
2,1,1,1,2,-2,1,1,2,2],[4,1,5,1],[4,1,5,-1,6,1,5,1,6,1]]],[[[2,2],[3,1,2,1,1,1,
3,1],[1,1,2,1,1,1,2,-1],[5,1,4,1],[6,1,5,2,6,-1,5,-1,4,1,5,-1]],[[2,2],[3,1,2,
1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[4,1,5,-1,6,1,5,1,4,1,6,-1,5,-1]],[[2,
2],[3,1,2,1,1,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,-1],[1,1,2,1],[2,
1,1,1],[2,1,7,-1,6,3,7,-1],[8,2],[9,1,5,-2,9,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,
1,4,-2,3,-1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,3,7,-1],[8,1,5,1,8,1]]],[[[1,1,2,
1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[4,2],[7,2,6,
1,7,-1,6,-1]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,
2,1,5,1],[6,1,4,-1,6,-2]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,
5,1],[5,-2,6,2]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[5,2,4,1,5,-1,4,
1,5,-1]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[5,1,4,1,5,-1]]],[[[1,1,
2,1],[2,1,1,1],[3,1,2,1,3,1,4,-2,3,-1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,2,6,1],[5,
1,7,-1,5,1,7,1,5,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-2,3,-1],[1,1,2,1],[
2,1,6,1,2,1,1,1,2,2,6,1],[5,1,7,1],[7,1,5,1],[7,-2,8,1,9,-1,8,1,9,-1]]],[[[1,
1,2,1],[2,1,1,1],[3,2],[5,1,4,-1,1,1,2,-1,5,1,4,-1],[6,10],[1,1,2,-2,1,1,2,
1],[8,1,7,1,8,-1,7,-1,8,1]],[[1,1,2,1],[2,1,1,1],[3,2],[5,1,4,-1,1,1,2,-1,5,1,
4,-1],[6,10],[1,1,2,-2,1,1,2,1],[7,-1,8,2]]],[[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,
-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[6,1,4,1,6,2,4,1,6,-1]],[[1,1,2,1],[
3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[4,1,6,-1,4,1,6,
-1]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[
6,1,4,-1,6,1,4,1,6,2]]],[[[2,1,1,1],[2,2,3,-2,2,-1,1,1],[4,2]],[[2,1,1,1],[1,
1,2,1,3,-2],[4,10]]],[[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,
-1,5,2,2,1,5,1],[4,1,6,1,4,2,6,-1]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,
1],[2,1,1,1,2,-1,5,2,2,1,5,1],[4,1,6,-3]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,
4,-2,3,-1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,2,6,1],[7,1,5,1,7,1,5,1,7,1,5,1,7,1,5,
-1,7,-1,5,-1,7,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-2,3,-1]]],[[[1,1,2,
1],[2,1,1,1],[3,1,2,1,3,1,4,-2,3,-1],[1,1,2,1],[2,1,1,1],[2,1,6,2,7,1,2,2,6,1,
7,-1],[8,1,5,1,8,1,5,1,8,1,5,1,8,1,5,-1,8,-1,5,-1,8,-1]],[[1,1,2,1],[2,1,1,
1],[3,1,2,1,3,1,4,-2,3,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,-1],[1,1,2,
1],[2,1,1,1],[2,1,7,-1,6,3,7,-1],[5,1,8,4]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,
-2,3,-1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,3,7,-1],[8,3,5,1,8,1]],[[1,1,2,1],[2,
1,1,1],[3,1,2,1,4,-2,3,-1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,3,7,-1],[5,1,8,1,5,
1,8,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,-1],[1,1,2,1],[2,1,1,1],[2,1,7,
-1,6,3,7,-1],[5,2,8,1,5,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,-1],[1,1,2,
1],[2,1,1,1],[2,1,7,-1,6,3,7,-1],[5,1,8,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,
-2,3,-1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,3,7,-1],[5,1,8,1,5,1,8,1]],[[1,1,2,
1],[2,1,1,1],[2,1,4,-1,3,3,4,-1],[5,3]]],[[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[
1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[6,1,4,2,6,1,4,1]],[[1,1,2,1],[3,2,1,1,2,
-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[4,-2,6,1,4,-1,6,1]],[[1,1,
2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[4,1,6,1,4,
1,6,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,-1],[1,1,2,1],[2,1,1,1],[2,1,7,
-1,6,3,7,-1],[5,1,8,2,5,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,-1],[1,1,2,
1],[2,1,1,1],[2,1,7,-1,6,3,7,-1],[8,1,5,1,8,1]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,
3,-2],[2,1,1,1,2,-2,1,1,2,2],[4,1,5,1],[5,1,4,1],[7,1,5,1,7,-1,6,2,5,1,6,1,7,
1],[8,2]],[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2],[2,1,1,1,2,-2,1,1,2,2],[4,1,5,1],[
6,1,4,1,5,-1,6,1]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,1],[5,
1,4,1],[5,1,7,2,5,1,6,2]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,
1],[5,1,4,1],[6,1,5,1,7,-2,6,-1]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2],[2,1,1,
1,2,-2,1,1,2,2],[4,1,5,1],[5,1,4,1],[5,1,7,-1,6,1,7,-1,6,-2],[8,2]],[[1,1,2,
1],[3,1,1,1,2,1,1,1,3,-2],[2,1,1,1,2,-2,1,1,2,2],[4,1,5,1],[6,1,5,2,6,1,4,1,5,
-1]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2],[2,1,1,1,2,-2,1,1,2,2],[4,1,5,1],[5,
1,4,1],[4,1,5,-1,6,1,7,1,5,1,7,-1,6,1],[8,2]],[[1,1,2,1],[3,1,1,1,2,1,1,1,3,
-2],[2,1,1,1,2,-2,1,1,2,2],[5,1,4,1],[5,1,6,1,5,-1,4,1,6,1,5,-1]]],[[[1,1,2,
1],[2,1,1,1],[3,1,2,1,3,1,4,-2,3,-1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,2,6,1],[5,1,
7,1],[7,1,8,2,7,1,5,1,7,-1,8,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-2,3,
-1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,2,6,1],[5,1,7,1],[7,1,5,1],[8,2,7,1,9,2,8,
-1]]],[[[2,1,1,1],[2,1,3,1,2,-1,1,1,3,2],[4,4],[2,1,1,1,2,-1,1,1],[6,1,5,1,6,
-1]],[[2,1,1,1],[2,1,3,1,2,-1,1,1,3,2],[4,4],[2,1,1,1,2,-1,1,1],[5,1,6,
2]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[5,1,4,1,5,-1]],[[2,2],[3,1,
2,1,1,1,3,1],[1,1,2,1,1,1,2,-1],[4,1,5,2]]],[[[2,1,1,1],[2,1,3,1,2,-1,1,1,3,
2],[4,4],[2,1,1,1,2,-1,1,1],[5,1,6,1,5,1,6,1,5,1]],[[2,1,1,1],[2,1,3,1,2,-1,1,
1,3,2],[4,4],[2,1,1,1,2,-1,1,1],[6,1,5,1,6,-1]]],[[[2,2],[3,1,2,1,1,1,3,1],[1,
1,2,1,1,1,2,-1],[4,1,5,1,4,1,5,1,4,1]],[[2,2],[3,1,2,1,1,1,3,1],[1,1,2,1,1,1,
2,-1],[5,1,4,1,5,-1]]],[[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,
2,-1,5,2,2,1,5,1],[4,-2,6,-1,4,1]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,
1],[2,1,1,1,2,-1,5,2,2,1,5,1],[6,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,
-2,3,-1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,3,7,-1],[5,1,8,2,5,-1]],[[1,1,2,1],[
2,1,1,1],[3,1,2,1,4,-2,3,-1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,3,7,-1],[5,2,8,
1]]],[[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,-1,5,2,2,1,5,
1],[4,1,6,-1,4,1,6,-1]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,
2,-1,5,2,2,1,5,1],[4,-2,6,1,4,1]]],[[[2,1,1,1],[1,1,2,1,3,-2],[4,10]],[[2,1,1,
1],[2,2,3,-2,2,-1,1,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,-1],[1,1,2,1],[
2,1,1,1],[2,1,7,-1,6,3,7,-1],[8,2,5,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,
-1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,3,7,-1],[5,1,8,1]]],[[[1,1,2,1],[2,1,1,
1],[3,1,2,1,4,-2,3,-1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,3,7,-1],[8,1,5,1,8,
1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,-1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,
3,7,-1],[8,2,5,-1]]],[[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1,2,
-1,5,2,2,1,5,1],[4,1,6,2,4,1]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[
2,1,1,1,2,-1,5,2,2,1,5,1],[6,1,4,-1,6,-1]]],[[[1,1,2,1],[2,1,1,1],[3,2],[5,1,
4,-1,1,1,2,-1,5,1,4,-1],[6,10],[1,1,2,-2,1,1,2,1],[7,-1,8,2,7,-1]],[[1,1,2,-2,
1,1,2,1]]],[[[2,1,1,1],[2,1,3,1,2,-1,1,1,3,2],[4,4],[2,1,1,1,2,-1,1,1],[6,1,5,
1],[7,1,6,2,7,-1,6,-1,5,1,6,-1]],[[2,1,1,1,2,-1,1,1]]],[[[2,2],[3,1,2,1,1,1,3,
1],[1,1,2,1,1,1,2,-1],[5,1,4,1],[6,1,5,2,6,-1,5,-1,4,1,5,-1]],[[1,1,2,1,1,1,2,
-1]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2],[2,1,1,1,2,-2,1,1,2,2],[4,1,5,1],[6,
1,4,1,5,1,4,1,5,-1,6,-1],[7,1,5,-2,7,1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2],[2,
1,1,1,2,-2,1,1,2,2],[4,1,5,1],[6,1,4,1,5,1,4,1,5,-1,6,-1],[5,-2,7,-2]],[[2,1,
1,1,2,-2,1,1,2,2],[3,-2]]],[[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,
1,1,2,-1,5,2,2,1,5,1],[4,-2,6,1,4,1]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[1,1,
2,1],[2,1,1,1,2,-1,5,2,2,1,5,1],[6,1,4,-1]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,3,
-2],[2,1,1,1,2,-2,1,1,2,2],[4,1,5,1],[6,1,5,2,6,1,5,2,4,1]],[[1,1,2,1],[3,1,1,
1,2,1,1,1,3,-2],[2,1,1,1,2,-2,1,1,2,2],[5,1,4,1,5,-1,4,1,5,-1]]],[[[1,1,2,
-1],[3,2,1,1,2,1],[4,15]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]]],[[[1,1,2,1],[
2,1,1,1],[3,1,2,1,4,-2,3,-1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,3,7,-1],[5,2,8,
-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,-1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,
3,7,-1],[8,1,5,1,8,1]]],[[[2,1,1,1,2,-2,1,1,2,2],[3,-2]],[[1,1,2,1],[3,1,1,1,
2,1,1,1,3,-2],[2,1,1,1,2,-2,1,1,2,2],[4,1,5,1],[6,1,4,1,5,1,4,1,5,-1,6,
-1]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2],[2,1,1,1,2,-2,1,1,2,2],[4,1,5,1],[5,
1,4,1],[7,1,6,-1,5,-1,6,2,7,-1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2],[2,1,1,1,2,
-2,1,1,2,2],[4,1,5,-1,4,1,5,1]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2],[2,1,1,1,
2,-2,1,1,2,2],[4,1,5,-2,4,1,5,2,4,1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2],[2,1,
1,1,2,-2,1,1,2,2],[4,1,5,1,4,1,5,-1]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2],[2,
1,1,1,2,-2,1,1,2,2],[5,1,4,1],[6,1,5,-2,4,1,5,2,6,-1]],[[1,1,2,1],[3,1,1,1,2,
1,1,1,3,-2],[2,1,1,1,2,-2,1,1,2,2],[4,1,5,1],[6,1,5,1,4,1,5,-1,6,2]]],[[[1,1,
2,1],[3,1,1,1,2,1,1,1,3,-2],[2,1,1,1,2,-2,1,1,2,2],[5,1,4,1],[6,1,5,-2,4,1,5,
2,6,-1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2],[2,1,1,1,2,-2,1,1,2,2],[4,1,5,1],[
4,1,5,-1,6,1,5,1,6,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,3,4,-1],[5,-2]],[[1,
1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,-1]]],[[[1,1,2,1],[2,1,1,1,2,-1,3,2,2,1,3,
1],[4,-2]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1]]],[[[2,2],[3,1,2,1,1,1,3,1]],[[
1,1,2,1,1,1,2,-1]]],[[[2,1,1,1],[2,1,3,1,2,-1,1,1,3,2],[4,4]],[[2,1,1,1,2,-1,
1,1]]],[[[1,1,2,1],[2,1,1,1],[3,2],[5,1,4,-1,1,1,2,-1,5,1,4,-1],[6,10]],[[1,1,
2,-2,1,1,2,1]]],[[[2,2,1,1],[3,6]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]]],[[[
1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1,2,-1,3,2,2,1,3,1]]],[[[
1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,3,4,
-1]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-1,1,1,2,-1,3,2,2,1],[4,2]],[[1,1,2,-1],[3,2,
1,1,2,1],[4,6]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-2,3,-1]],[[1,1,2,1],[2,
1,3,1,2,1,1,1,2,2,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-2,3,-1]],[[1,1,
2,1],[2,1,1,1],[2,1,3,2,4,1,2,2,3,1,4,-1]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,3,
-2]],[[2,1,1,1,2,-2,1,1,2,2]]],[[[1,1]],[[2,1]]]]);
ACLT( "McL",
"sortperm",( 10, 11)( 13, 14)( 16, 17)( 28, 29)( 30, 32, 35, 34)( 31, 33)
( 59, 60)( 61, 64, 62)( 67, 70, 69, 68)( 72, 74, 75)( 73, 76)( 79, 80)
( 85, 86)( 87, 90)( 88, 89)( 91, 92)( 93, 94, 97,101,102, 98)( 96,100, 99)
(105,106)(107,108)(110,112,115,120,117,113,118,114,121,119,116,111)
(123,124,125,128,126,129,127)(132,133)(134,135)(136,138,137)(140,141)
(146,152,147)(148,151,154,153,149)(155,156)(160,161,162)(163,165)(169,170)
(171,173)(172,174)(175,176)(177,178)(182,186)(183,189,184,190,185)(196,198)
(204,206)(211,213)(215,217,218,216,219)(220,224,221,223)(222,225)
(226,231,230,233,228,229,227,232)(235,236)(237,238,239,240)(252,254,253,255)
(259,260)(263,267,265,269,264,266,270,268)(272,274,273)(275,277)(283,284)
(286,287)(288,290)(291,293)(298,301,300,299,302,303)(309,310)(319,320)
(328,329)(333,334)(361,362)(363,366)(364,365));
LIBTOM( "McL.2",
[[1],[1,2],[1,3],[1,4],[1,5],[1,2,6],[1,2,7],[1,2,8],[1,2,3,9],[1,10],[1,11],[
1,2,4,12],[1,2,5,13],[1,3,5,14],[1,3,4,15],[1,3,5,16],[1,3,5,17],[1,2,5,18],[
1,19],[1,2,8,20],[1,2,3,8,9,21],[1,2,7,22],[1,2,6,7,23],[1,2,7,24],[1,2,7,
25],[1,2,7,26],[1,2,7,27],[1,2,7,8,28],[1,2,3,6,7,9,29],[1,2,3,6,8,9,30],[1,2,
3,7,9,31],[1,2,7,8,32],[1,2,3,7,9,33],[1,4,5,34],[1,5,35],[1,5,36],[1,4,5,
37],[1,4,38],[1,2,10,39],[1,3,11,40],[1,2,11,41],[1,3,10,42],[1,3,11,43],[1,
44],[1,2,4,6,12,45],[1,2,4,7,12,46],[1,2,5,7,13,47],[1,2,5,8,48],[1,2,5,8,
49],[1,2,3,5,9,13,16,50],[1,2,3,4,9,12,15,51],[1,2,3,5,9,14,16,18,52],[1,2,5,
8,13,18,53],[1,2,3,5,9,13,16,17,54],[1,2,3,5,9,14,17,18,55],[1,2,4,6,12,56],[
1,2,5,6,13,57],[1,2,4,7,12,58],[1,2,5,8,13,59],[1,2,3,5,9,13,14,60],[1,3,19,
61],[1,3,19,62],[1,2,19,63],[1,4,10,64],[1,2,8,20,65],[1,2,7,8,28,66],[1,2,7,
8,24,28,67],[1,2,3,6,7,9,23,24,29,68],[1,2,6,7,22,23,25,69],[1,2,7,22,24,26,
70],[1,2,7,8,22,28,32,71],[1,2,3,6,7,9,24,29,31,72],[1,2,3,6,7,8,9,23,28,29,
30,31,73],[1,2,3,6,7,9,22,29,33,74],[1,2,7,8,20,28,32,75],[1,2,3,7,8,9,21,28,
31,33,76],[1,2,3,6,7,8,9,21,29,30,32,33,77],[1,2,7,8,26,28,78],[1,2,7,8,27,28,
79],[1,2,7,8,25,27,28,80],[1,2,3,6,7,9,26,27,29,81],[1,2,3,6,7,9,25,26,29,
82],[1,2,6,7,8,23,27,32,83],[1,2,3,7,9,22,27,31,84],[1,2,3,7,9,24,27,33,85],[
1,2,3,7,9,24,25,33,86],[1,2,7,8,24,26,32,87],[1,2,3,6,7,9,23,26,33,88],[1,2,7,
8,20,28,89],[1,2,3,7,8,9,25,31,32,90],[1,2,3,7,9,26,31,33,91],[1,2,3,7,8,9,27,
31,32,92],[1,2,5,18,35,93],[1,3,4,5,15,16,37,94],[1,2,5,18,36,95],[1,3,4,5,15,
17,34,96],[1,3,5,17,35,97],[1,3,4,5,15,17,37,98],[1,2,4,5,12,13,37,99],[1,3,5,
14,35,100],[1,2,4,5,13,18,37,101],[1,3,5,14,16,35,102],[1,3,4,5,14,16,37,
103],[1,2,5,13,18,35,104],[1,3,4,5,14,15,34,105],[1,2,4,5,12,18,34,106],[1,3,
5,14,17,36,107],[1,3,4,15,38,108],[1,2,7,10,39,109],[1,2,6,11,41,110],[1,2,7,
11,41,111],[1,2,3,9,10,39,42,112],[1,2,3,9,11,40,41,43,113],[1,2,6,10,39,
114],[1,5,19,115],[1,3,44,116],[1,2,4,7,12,22,117],[1,2,5,7,13,24,118],[1,2,5,
7,13,22,119],[1,2,4,7,12,22,58,120],[1,2,4,6,7,12,23,56,58,121],[1,2,3,5,8,9,
13,16,17,21,50,54,59,122],[1,2,3,5,8,9,13,14,16,17,18,21,52,53,54,55,60,123],[
1,2,3,5,6,8,9,13,16,18,30,50,53,57,124],[1,2,3,4,7,9,12,15,33,51,58,125],[1,2,
3,5,6,8,9,17,30,49,126],[1,2,5,7,8,18,32,49,127],[1,2,5,7,8,18,32,48,128],[1,
2,4,6,7,12,23,45,46,56,129],[1,2,4,7,12,24,46,58,130],[1,2,4,7,12,25,58,131],[
1,2,3,4,6,7,9,12,15,29,45,51,58,132],[1,2,3,4,6,7,9,12,15,29,46,51,56,133],[1,
2,3,5,6,7,9,13,16,17,29,47,54,57,134],[1,2,4,7,12,26,58,135],[1,2,5,8,13,20,
48,136],[1,2,3,5,8,9,14,21,49,137],[1,2,3,5,6,8,9,13,14,30,57,59,60,138],[1,2,
5,7,8,13,18,32,47,53,59,139],[1,2,3,5,7,9,13,14,16,33,47,50,60,140],[1,10,11,
141],[1,4,5,34,35,142],[1,4,5,34,36,143],[1,4,5,34,35,37,144],[1,4,5,34,145],[
1,4,5,34,146],[1,4,5,34,147],[1,4,5,34,38,148],[1,4,5,34,38,149],[1,4,5,34,38,
150],[1,4,5,34,38,151],[1,2,3,9,19,61,62,63,152],[1,2,4,10,12,39,64,153],[1,3,
4,10,15,42,64,154],[1,2,7,8,20,22,28,32,71,75,155],[1,2,3,6,7,8,9,21,22,23,28,
29,30,31,32,33,71,73,74,76,77,156],[1,2,3,7,8,9,21,28,31,33,66,76,157],[1,2,3,
6,7,8,9,23,24,28,29,30,31,67,68,72,73,158],[1,2,7,8,20,28,32,65,75,89,159],[1,
2,7,8,22,25,27,28,32,71,79,80,160],[1,2,3,6,7,8,9,23,25,26,27,28,29,30,31,73,
78,80,81,82,161],[1,2,7,8,25,27,28,66,80,162],[1,2,7,8,24,27,28,67,79,163],[1,
2,7,8,20,24,28,32,66,67,75,89,164],[1,2,7,8,20,26,28,32,75,78,165],[1,2,3,7,8,
9,21,26,27,28,31,33,76,78,79,166],[1,2,7,8,20,28,32,75,89,167],[1,2,7,8,22,24,
26,28,32,67,70,71,78,87,168],[1,2,3,6,7,9,22,23,24,25,26,29,33,68,69,70,74,82,
86,88,169],[1,2,3,7,8,9,21,24,25,27,28,31,33,67,76,80,85,86,170],[1,2,3,6,7,8,
9,21,23,24,26,27,29,30,32,33,68,77,81,83,85,87,88,171],[1,2,3,7,8,9,21,22,27,
28,31,32,33,71,76,79,84,92,172],[1,2,3,6,7,8,9,21,23,26,28,29,30,31,33,73,76,
78,88,91,173],[1,2,3,6,7,8,9,20,23,27,28,29,30,31,32,73,75,79,83,92,174],[1,2,
3,6,7,8,9,21,24,25,26,29,30,31,32,33,72,77,82,86,87,90,91,175],[1,2,7,8,22,26,
28,32,66,71,78,176],[1,2,3,6,7,8,9,23,27,28,29,30,31,66,73,79,177],[1,2,3,6,7,
8,9,22,23,25,27,28,29,30,31,32,69,71,73,80,83,84,90,178],[1,2,3,6,7,9,22,24,
26,27,29,31,33,70,72,74,81,84,85,91,179],[1,2,7,8,25,26,27,28,78,79,80,180],[
1,2,3,7,8,9,20,21,25,27,28,31,32,33,75,76,80,90,92,181],[1,2,5,6,18,35,93,
182],[1,2,5,6,18,35,93,183],[1,2,5,7,18,35,93,184],[1,2,5,7,18,35,93,185],[1,
2,5,7,18,36,95,186],[1,2,5,7,18,36,95,187],[1,2,3,5,9,14,16,18,35,52,93,102,
188],[1,2,5,8,13,18,35,53,93,104,189],[1,2,3,4,5,9,13,14,15,16,18,37,50,52,94,
101,103,190],[1,2,3,5,9,14,17,18,36,55,95,107,191],[1,2,3,4,5,9,13,14,15,16,
17,18,37,54,55,98,101,103,192],[1,2,3,5,9,13,14,16,17,18,35,54,55,97,102,104,
193],[1,2,3,4,5,9,12,14,15,17,18,34,51,55,96,105,106,194],[1,2,3,4,5,9,12,13,
15,16,17,37,51,54,94,98,99,195],[1,2,3,5,9,14,17,18,35,55,93,97,100,196],[1,2,
4,5,6,12,13,37,56,57,99,197],[1,2,4,5,7,12,13,37,46,47,99,198],[1,2,4,5,7,12,
13,37,46,58,99,199],[1,2,4,5,6,12,13,37,45,56,99,200],[1,2,5,8,13,36,48,49,59,
201],[1,2,4,5,8,12,13,18,37,53,59,99,101,202],[1,2,3,4,5,9,12,13,14,16,37,50,
60,99,103,203],[1,2,3,5,9,13,14,16,18,35,52,60,100,102,104,204],[1,2,7,10,25,
39,109,205],[1,2,7,10,26,39,109,206],[1,2,3,6,7,9,10,29,39,42,109,112,114,
207],[1,2,3,6,7,9,11,29,40,41,43,110,111,113,208],[1,3,5,14,19,61,115,209],[1,
3,5,14,19,62,115,210],[1,2,5,13,19,63,115,211],[1,2,5,8,20,48,49,65,212],[1,2,
4,6,7,12,22,23,25,45,69,117,213],[1,2,5,7,13,22,24,26,47,70,118,214],[1,2,4,7,
12,22,24,26,46,70,117,215],[1,2,5,7,13,22,24,26,47,70,119,216],[1,2,3,4,7,9,
12,15,22,27,31,51,84,117,217],[1,2,3,5,7,9,13,16,24,25,33,50,86,118,218],[1,2,
3,5,7,9,13,16,17,24,27,33,54,85,118,219],[1,2,5,7,8,13,18,24,26,32,53,87,118,
220],[1,2,4,7,8,12,22,28,32,58,71,117,221],[1,2,3,5,6,7,9,13,24,29,31,57,72,
118,222],[1,2,3,4,6,7,9,12,22,29,33,56,74,117,223],[1,2,3,4,6,7,9,12,15,22,29,
33,45,51,58,74,120,125,132,224],[1,2,5,8,13,20,48,59,65,136,225],[1,2,5,7,8,
28,49,66,226],[1,2,5,7,8,13,24,28,59,67,118,227],[1,2,3,5,6,7,9,13,14,23,24,
29,60,68,118,228],[1,2,5,7,8,13,20,28,47,48,89,136,229],[1,2,5,7,8,13,18,20,
28,32,48,53,75,128,136,230],[1,2,3,5,6,7,8,9,14,17,18,21,29,30,32,33,49,55,77,
126,127,137,231],[1,2,4,7,12,22,24,26,46,58,70,120,130,135,232],[1,2,3,4,6,7,
9,12,15,23,24,29,45,46,51,56,58,68,121,129,130,132,133,233],[1,2,3,4,6,7,9,12,
15,23,26,33,51,56,58,88,121,125,135,234],[1,2,3,4,7,9,12,15,24,25,33,46,51,58,
86,125,130,131,235],[1,2,4,6,7,12,22,23,25,56,58,69,120,121,131,236],[1,2,3,4,
6,7,9,12,15,25,26,29,45,51,58,82,131,132,135,237],[1,2,3,5,6,7,8,9,13,14,16,
17,18,21,29,30,32,33,47,50,52,53,54,55,57,59,60,77,122,123,124,134,138,139,
140,238],[1,3,10,11,42,43,141,239],[1,3,10,11,40,42,141,240],[1,2,10,11,39,41,
141,241],[1,3,4,5,15,17,34,35,96,97,142,242],[1,3,4,5,15,17,34,35,37,96,97,98,
144,243],[1,2,4,5,12,18,34,35,93,106,142,244],[1,2,4,5,13,18,34,35,37,93,101,
104,144,245],[1,2,4,5,12,18,34,36,95,106,143,246],[1,3,4,5,14,15,16,34,35,37,
94,102,103,105,144,247],[1,3,4,5,14,15,17,34,36,96,105,107,143,248],[1,2,4,5,
12,18,34,106,145,249],[1,2,4,5,12,18,34,106,146,250],[1,2,4,5,12,18,34,106,
147,251],[1,3,4,5,14,15,34,35,100,105,142,252],[1,3,4,5,14,16,34,35,37,100,
102,103,144,253],[1,2,4,5,12,13,18,34,35,37,99,101,104,106,144,254],[1,3,4,5,
14,15,17,34,96,105,147,255],[1,3,4,5,14,15,17,34,96,105,147,256],[1,3,4,5,14,
15,17,34,96,105,146,257],[1,3,4,5,14,15,34,38,105,108,148,258],[1,3,4,5,14,15,
34,38,105,108,150,259],[1,3,4,5,14,15,34,38,105,108,151,260],[1,3,4,5,14,15,
34,38,105,108,149,261],[1,11,44,262],[1,2,8,19,20,263],[1,2,4,6,10,12,39,45,
64,114,153,264],[1,2,5,8,11,18,41,49,265],[1,2,5,8,11,18,41,49,266],[1,2,5,8,
11,18,41,48,267],[1,2,4,7,10,12,39,58,64,109,153,268],[1,2,3,4,9,10,12,15,39,
42,51,64,112,153,154,269],[1,2,7,8,20,24,28,32,65,66,67,75,89,159,164,270],[1,
2,3,6,7,8,9,20,21,22,23,25,27,28,29,30,31,32,33,69,71,73,74,75,76,77,79,80,83,
84,90,92,155,156,160,172,174,178,181,271],[1,2,7,8,20,22,28,32,65,71,75,89,
155,159,167,272],[1,2,7,8,20,24,28,32,66,67,75,89,164,167,273],[1,2,3,6,7,8,9,
20,23,24,27,28,29,30,31,32,66,67,68,72,73,75,79,83,89,92,158,163,164,174,177,
274],[1,2,7,8,20,22,24,26,28,32,66,67,70,71,75,78,87,89,155,164,165,168,176,
275],[1,2,3,7,8,9,20,21,24,25,27,28,31,32,33,66,67,75,76,80,85,86,89,90,92,
157,162,164,170,181,276],[1,2,7,8,20,24,25,27,28,32,66,67,75,80,89,162,164,
277],[1,2,7,8,20,24,27,28,32,66,67,75,79,89,163,164,278],[1,2,7,8,20,26,28,32,
65,75,78,89,159,165,167,279],[1,2,3,7,8,9,21,22,24,25,26,27,28,31,32,33,67,70,
71,76,78,79,80,84,85,86,87,92,160,163,166,168,170,172,180,280],[1,2,3,6,7,8,9,
21,22,23,24,25,26,27,28,29,30,31,32,33,67,68,69,70,71,72,73,74,76,77,78,80,81,
82,83,84,85,86,87,88,90,91,156,158,161,168,169,170,171,173,175,178,179,281],[
1,2,3,6,7,8,9,20,21,23,25,26,27,28,29,30,31,32,33,73,75,76,78,79,80,81,82,83,
88,90,91,92,161,165,166,173,174,180,181,282],[1,2,3,6,7,8,9,21,22,23,26,27,28,
29,30,31,32,33,66,71,73,74,76,77,78,79,84,88,91,92,156,157,166,172,173,176,
177,283],[1,2,3,6,7,8,9,22,23,25,26,27,28,29,30,31,32,66,69,71,73,78,79,80,81,
82,83,84,90,160,161,162,176,177,178,180,284],[1,2,5,6,7,18,23,35,93,182,183,
184,285],[1,2,5,6,7,18,23,35,93,183,185,286],[1,2,5,7,18,24,35,93,184,185,
287],[1,2,5,7,18,24,36,95,186,187,288],[1,2,5,7,18,25,36,95,186,289],[1,2,5,7,
18,26,35,93,185,290],[1,2,5,7,18,27,35,93,185,291],[1,2,3,5,6,8,9,13,14,16,18,
30,35,52,53,93,102,104,182,188,189,292],[1,2,5,7,8,13,18,32,35,53,93,104,185,
189,293],[1,2,3,5,7,9,14,16,18,33,35,52,93,102,185,188,294],[1,2,3,5,7,9,14,
17,18,33,36,55,95,107,186,191,295],[1,2,3,4,5,7,9,12,13,14,16,33,37,46,47,50,
60,99,103,140,198,203,296],[1,2,4,5,7,8,12,13,18,32,37,46,47,53,59,99,101,139,
198,202,297],[1,2,3,5,6,7,9,14,17,18,29,35,55,93,97,100,182,185,196,298],[1,2,
3,5,6,7,9,14,17,18,29,35,55,93,97,100,183,184,196,299],[1,2,4,5,7,12,13,27,37,
46,47,99,198,300],[1,2,4,5,7,12,13,26,37,46,47,99,198,301],[1,2,4,5,7,12,13,
24,37,46,47,58,99,130,198,199,302],[1,2,4,5,6,7,12,13,23,37,45,46,47,56,99,
129,198,200,303],[1,2,3,4,5,6,7,9,12,13,15,16,17,29,37,46,47,51,54,56,57,94,
98,99,133,134,195,197,198,304],[1,2,4,5,7,12,13,22,37,58,99,117,119,120,305],[
1,2,3,5,6,8,9,13,14,17,30,36,48,49,57,59,60,107,126,138,201,306],[1,2,3,5,8,9,
13,14,16,17,18,21,35,52,53,54,55,60,93,97,100,102,104,123,188,189,193,196,204,
307],[1,2,3,4,5,8,9,12,13,14,15,16,17,18,21,37,50,51,52,53,54,55,59,60,94,98,
99,101,103,122,123,190,192,195,202,203,308],[1,2,5,7,8,13,18,32,36,47,48,49,
53,59,95,127,128,139,201,309],[1,2,3,4,5,6,7,9,12,13,15,16,17,29,37,45,46,51,
54,56,58,94,98,99,132,133,195,199,200,310],[1,2,4,5,6,7,12,13,23,37,45,46,56,
57,58,99,121,129,197,199,200,311],[1,2,3,5,8,9,13,14,16,17,21,36,48,49,50,54,
59,107,122,137,201,312],[1,2,3,4,5,6,8,9,12,13,14,16,18,30,37,50,53,56,57,59,
60,99,101,103,124,138,197,202,203,313],[1,2,8,11,20,65,314],[1,2,3,6,7,9,10,
25,26,29,39,42,82,109,112,114,205,206,207,315],[1,4,5,34,35,37,142,144,316],[
1,4,5,34,35,36,142,143,145,146,147,317],[1,4,5,34,35,38,142,148,149,150,151,
318],[1,4,5,34,35,37,38,144,147,149,319],[1,4,5,34,35,37,38,144,145,149,320],[
1,4,5,34,38,147,148,150,151,321],[1,4,5,34,38,145,148,150,151,322],[1,2,3,5,9,
13,14,19,60,61,62,63,115,152,209,210,211,323],[1,2,5,7,8,13,20,22,28,32,48,71,
75,119,136,155,324],[1,2,4,7,8,12,20,22,28,32,58,71,75,117,120,155,221,325],[
1,2,3,4,6,7,8,9,12,21,22,23,28,29,30,31,32,33,56,58,71,73,74,76,77,117,121,
156,221,223,326],[1,2,3,4,6,7,8,9,12,15,22,23,25,27,28,29,30,31,32,45,51,58,
69,71,73,80,83,84,90,117,132,178,213,217,221,327],[1,2,3,4,6,7,9,12,15,22,24,
26,27,29,31,33,46,51,56,70,72,74,81,84,85,91,117,133,179,215,217,223,328],[1,
2,3,5,6,7,9,13,16,17,22,24,26,27,29,31,33,47,54,57,70,72,74,81,84,85,91,118,
134,179,214,219,222,329],[1,2,3,4,7,8,9,12,15,21,22,27,28,31,32,33,51,58,71,
76,79,84,92,117,125,172,217,221,330],[1,2,3,5,6,7,8,9,13,16,18,21,24,25,26,29,
30,31,32,33,50,53,57,72,77,82,86,87,90,91,118,124,175,218,220,222,331],[1,2,5,
7,8,13,20,28,32,48,49,65,75,89,136,159,212,332],[1,2,4,7,8,12,22,24,26,28,32,
46,58,67,70,71,78,87,117,130,168,215,221,333],[1,2,3,4,6,7,9,12,22,23,24,25,
26,29,33,45,46,56,68,69,70,74,82,86,88,117,129,169,213,215,223,334],[1,2,4,7,
8,12,22,26,28,32,58,66,71,78,117,135,176,221,335],[1,2,4,7,8,12,22,25,27,28,
32,58,71,79,80,117,131,160,221,336],[1,2,5,7,8,18,22,26,28,32,49,66,71,78,127,
176,226,337],[1,2,3,5,6,7,8,9,17,23,27,28,29,30,31,49,66,73,79,126,177,226,
338],[1,2,3,5,7,8,9,14,21,28,31,33,49,66,76,137,157,226,339],[1,2,5,7,8,18,20,
28,32,48,49,65,75,89,127,128,159,212,340],[1,2,3,5,6,7,9,13,14,16,22,23,24,25,
26,29,33,47,50,60,68,69,70,74,82,86,88,118,140,169,214,218,228,341],[1,2,5,7,
8,13,18,22,24,26,28,32,47,53,59,67,70,71,78,87,118,139,168,214,220,227,342],[
1,2,3,5,7,8,9,13,16,17,21,24,25,27,28,31,33,50,54,59,67,76,80,85,86,118,122,
170,218,219,227,343],[1,2,3,5,6,7,8,9,13,14,16,17,18,21,23,24,26,27,29,30,32,
33,52,53,54,55,60,68,77,81,83,85,87,88,118,123,171,219,220,228,344],[1,2,3,5,
6,7,8,9,13,14,23,24,28,29,30,31,57,59,60,67,68,72,73,118,138,158,222,227,228,
345],[1,2,5,7,8,13,18,20,28,32,47,48,53,59,65,75,89,128,136,139,159,225,229,
230,346],[1,2,3,4,6,7,9,12,15,22,23,24,25,26,29,33,45,46,51,56,58,68,69,70,74,
82,86,88,120,121,125,129,130,131,132,133,135,169,224,232,233,234,235,236,237,
347],[1,2,7,10,11,39,41,109,111,141,241,348],[1,2,6,10,11,39,41,110,114,141,
241,349],[1,2,3,9,10,11,39,40,41,42,43,112,113,141,239,240,241,350],[1,2,4,5,
8,13,18,34,35,37,53,93,101,104,144,189,245,351],[1,2,3,4,5,9,13,14,15,16,18,
34,35,37,50,52,93,94,101,102,103,104,105,144,188,190,245,247,352],[1,2,3,4,5,
9,12,14,15,17,18,34,36,51,55,95,96,105,106,107,143,191,194,246,248,353],[1,2,
4,5,6,13,18,34,35,37,57,93,101,104,144,182,245,354],[1,2,4,5,6,12,18,34,35,56,
93,106,142,182,244,355],[1,2,4,5,6,12,18,34,35,56,93,106,142,183,244,356],[1,
2,4,5,7,12,18,34,35,58,93,106,142,184,244,357],[1,2,4,5,7,12,18,34,36,58,95,
106,143,186,246,358],[1,2,4,5,6,12,18,34,35,45,93,106,142,183,244,359],[1,2,4,
5,7,12,18,34,35,46,93,106,142,184,244,360],[1,2,4,5,7,12,18,34,35,46,93,106,
142,185,244,361],[1,2,4,5,7,13,18,34,35,37,47,93,101,104,144,185,245,362],[1,
2,4,5,7,12,18,34,36,46,95,106,143,187,246,363],[1,2,3,4,5,9,13,14,16,18,34,35,
37,52,60,93,100,101,102,103,104,144,188,204,245,253,364],[1,2,4,5,8,12,13,18,
34,35,37,53,59,93,99,101,104,106,144,189,202,245,254,365],[1,2,3,4,5,9,12,13,
14,15,16,18,34,35,37,50,52,60,94,99,100,101,102,103,104,105,106,144,190,203,
204,247,253,254,366],[1,2,3,4,5,9,13,14,15,16,17,18,34,35,37,54,55,93,96,97,
98,100,101,102,103,104,144,192,193,196,243,245,253,367],[1,2,3,4,5,9,12,14,15,
17,18,34,35,51,55,93,96,97,100,105,106,142,194,196,242,244,252,368],[1,2,3,4,
5,9,12,13,14,15,16,17,18,34,35,37,51,54,55,94,96,97,98,99,101,102,103,104,105,
106,144,192,193,194,195,243,247,254,369],[1,2,4,5,7,12,18,34,58,106,146,250,
370],[1,2,4,5,7,12,18,34,58,106,145,249,371],[1,2,4,5,6,12,18,34,56,106,146,
250,372],[1,2,3,4,5,9,12,14,15,17,18,34,51,55,96,105,106,146,194,250,257,
373],[1,2,3,4,5,9,12,14,15,17,18,34,51,55,96,105,106,147,194,251,255,256,
374],[1,3,11,40,44,116,262,375],[1,2,8,19,20,63,65,263,376],[1,2,4,7,10,12,22,
39,46,109,117,377],[1,2,5,7,10,13,24,39,47,109,118,378],[1,2,3,5,8,9,11,14,16,
18,21,40,41,43,49,52,113,137,265,379],[1,2,3,5,8,9,11,14,17,18,21,40,41,43,49,
55,113,137,266,380],[1,2,5,7,8,11,13,18,32,41,49,53,111,127,265,381],[1,2,3,5,
6,8,9,11,14,17,18,30,41,49,55,110,126,265,382],[1,2,5,7,8,11,13,18,32,41,48,
53,111,128,267,383],[1,2,3,4,6,7,9,10,12,15,29,39,42,45,51,58,64,109,112,114,
132,153,154,207,264,268,269,384],[1,2,4,7,10,12,25,39,58,64,109,131,153,205,
268,385],[1,2,4,7,10,12,26,39,58,64,109,135,153,206,268,386],[1,10,11,141,
387],[1,2,3,7,8,9,20,21,24,25,27,28,31,32,33,65,66,67,75,76,80,85,86,89,90,92,
157,159,162,164,170,181,270,276,277,388],[1,2,3,6,7,8,9,20,23,24,27,28,29,30,
31,32,65,66,67,68,72,73,75,79,83,89,92,158,159,163,164,174,177,270,274,278,
389],[1,2,3,6,7,8,9,20,21,22,23,24,25,26,27,28,29,30,31,32,33,66,67,68,69,70,
71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,155,156,157,
158,160,161,162,163,164,165,166,168,169,170,171,172,173,174,175,176,177,178,
179,180,181,271,274,275,276,280,281,282,283,284,390],[1,2,3,7,8,9,20,21,24,25,
27,28,31,32,33,66,67,75,76,79,80,85,86,89,90,92,157,162,163,164,167,170,181,
273,276,278,391],[1,2,3,6,7,8,9,20,23,24,25,27,28,29,30,31,32,66,67,68,72,73,
75,79,80,83,89,92,158,162,163,164,167,174,177,273,274,277,392],[1,2,7,8,20,22,
24,26,28,32,65,66,67,70,71,75,78,87,89,155,159,164,165,167,168,176,270,272,
273,275,279,393],[1,2,7,8,20,22,24,25,26,27,28,32,66,67,70,71,75,78,79,80,87,
89,155,162,163,164,165,168,176,275,277,278,394],[1,2,5,8,13,20,36,48,49,59,65,
136,201,212,225,395],[1,2,3,5,7,9,14,16,18,24,27,33,35,52,85,93,102,184,185,
188,287,291,294,396],[1,2,5,6,7,8,13,18,23,27,32,35,53,83,93,104,183,185,189,
286,291,293,397],[1,2,5,7,8,13,18,24,26,32,35,53,87,93,104,184,185,189,287,
290,293,398],[1,2,3,5,6,7,9,14,16,18,23,26,33,35,52,88,93,102,183,185,188,286,
290,294,399],[1,2,3,5,7,9,14,17,18,24,25,33,36,55,86,95,107,186,187,191,288,
289,295,400],[1,2,3,5,6,7,8,9,13,14,16,17,18,21,29,30,32,33,35,52,53,54,55,60,
77,93,97,100,102,104,123,182,185,188,189,193,196,204,292,293,294,298,307,
401],[1,2,3,4,5,7,9,12,13,14,16,24,27,33,37,46,47,50,58,60,85,99,103,130,140,
198,199,203,296,300,302,402],[1,2,3,4,5,6,7,9,12,13,14,16,23,26,33,37,45,46,
47,50,56,60,88,99,103,129,140,198,200,203,296,301,303,403],[1,2,4,5,6,7,8,12,
13,18,23,27,32,37,45,46,47,53,56,59,83,99,101,129,139,198,200,202,297,300,303,
404],[1,2,4,5,7,8,12,13,18,24,26,32,37,46,47,53,58,59,87,99,101,130,139,198,
199,202,297,301,302,405],[1,2,3,5,6,7,9,14,17,18,23,24,29,35,55,68,93,97,100,
182,183,184,185,196,285,286,287,298,299,406],[1,2,3,5,6,7,9,14,17,18,26,27,29,
35,55,81,93,97,100,182,185,196,290,291,298,407],[1,2,3,4,5,6,7,9,12,13,15,16,
17,26,27,29,37,46,47,51,54,56,57,81,94,98,99,133,134,195,197,198,300,301,304,
408],[1,2,3,4,5,6,7,9,12,13,15,16,17,23,24,29,37,45,46,47,51,54,56,57,58,68,
94,98,99,121,129,130,132,133,134,195,197,198,199,200,233,302,303,304,310,311,
409],[1,2,3,4,5,6,7,8,9,12,13,14,15,16,17,18,21,29,30,32,33,37,46,47,50,51,52,
53,54,55,56,57,59,60,77,94,98,99,101,103,122,123,124,133,134,138,139,140,190,
192,195,197,198,202,203,238,296,297,304,308,313,410],[1,2,4,5,7,12,13,22,24,
26,37,46,47,58,70,99,117,119,120,130,135,198,215,216,232,305,411],[1,2,3,4,5,
6,7,9,12,13,15,22,29,33,37,45,51,56,58,74,99,117,119,120,125,132,200,223,224,
305,412],[1,2,4,5,6,7,12,13,22,23,25,37,45,56,58,69,99,117,119,120,121,131,
200,213,236,305,413],[1,2,3,5,6,7,8,9,13,14,16,17,18,21,29,30,32,33,36,47,48,
49,50,52,53,54,55,57,59,60,77,95,107,122,123,124,126,127,128,134,137,138,139,
140,191,201,231,238,306,309,312,414],[1,2,7,8,11,20,28,32,41,65,75,89,159,314,
415],[1,3,4,5,15,17,34,35,37,96,97,98,142,144,242,243,316,416],[1,3,4,5,14,15,
16,34,35,37,94,100,102,103,105,142,144,247,252,253,316,417],[1,2,4,5,12,13,18,
34,35,37,93,99,101,104,106,142,144,244,245,254,316,418],[1,3,4,5,14,15,16,17,
34,35,37,38,94,96,102,103,105,108,144,147,149,247,256,261,319,419],[1,3,4,5,
14,15,17,34,35,36,96,97,105,107,142,143,145,146,147,242,248,255,256,257,317,
420],[1,2,4,5,12,18,34,35,36,93,95,106,142,143,145,146,147,244,246,249,250,
251,317,421],[1,3,4,5,14,15,17,34,38,96,105,108,147,148,150,151,256,258,259,
260,321,422],[1,3,4,5,14,15,17,34,35,36,96,100,105,107,142,143,145,146,147,
248,252,255,256,257,317,423],[1,3,4,5,14,15,17,34,35,37,38,96,97,98,105,144,
147,149,243,255,319,424],[1,2,4,5,12,13,18,34,35,37,38,99,101,104,106,144,147,
149,251,254,319,425],[1,2,4,5,12,13,18,34,35,37,38,99,101,104,106,144,145,149,
249,254,320,426],[1,3,4,5,14,15,34,35,38,100,105,108,142,148,149,150,151,252,
258,259,260,261,318,427],[1,2,5,7,8,18,19,32,48,115,128,428],[1,2,5,7,8,18,19,
32,49,115,127,429],[1,2,5,7,8,18,19,32,48,49,115,127,128,430],[1,2,5,8,13,19,
20,48,115,136,263,431],[1,2,5,7,8,13,20,24,28,32,48,59,65,66,67,75,89,118,136,
159,164,225,227,270,432],[1,2,5,7,8,20,24,28,32,48,49,65,66,67,75,89,159,164,
212,226,270,433],[1,2,5,7,8,13,20,24,28,32,48,49,59,65,66,67,75,89,136,159,
164,212,225,270,332,434],[1,2,3,4,6,7,8,9,12,15,20,21,22,23,25,27,28,29,30,31,
32,33,45,51,58,69,71,73,74,75,76,77,79,80,83,84,90,92,117,120,125,132,155,156,
160,172,174,178,181,213,217,221,224,271,325,327,330,435],[1,2,5,7,8,13,18,20,
22,28,32,48,53,65,71,75,89,119,128,136,155,159,167,230,272,324,436],[1,2,5,7,
8,13,18,20,22,28,32,48,49,53,65,71,75,89,127,128,136,155,159,167,212,230,272,
332,340,437],[1,2,3,4,7,8,9,12,15,21,22,24,25,26,27,28,31,32,33,46,51,58,67,
70,71,76,78,79,80,84,85,86,87,92,117,125,130,131,160,163,166,168,170,172,180,
215,217,221,235,280,330,333,336,438],[1,2,5,7,8,13,20,22,24,26,28,32,47,48,66,
67,70,71,75,78,87,89,119,136,155,164,165,168,176,216,229,275,324,439],[1,2,3,
4,6,7,8,9,12,15,21,22,23,24,25,26,27,28,29,30,31,32,33,45,46,51,56,58,67,68,
69,70,71,72,73,74,76,77,78,80,81,82,83,84,85,86,87,88,90,91,117,121,129,130,
132,133,156,158,161,168,169,170,171,173,175,178,179,213,215,217,221,223,233,
281,326,327,328,333,334,440],[1,2,5,7,8,13,20,26,28,32,47,48,49,65,75,78,89,
136,159,165,167,212,229,279,332,441],[1,2,4,7,8,12,20,22,24,26,28,32,46,58,66,
67,70,71,75,78,87,89,117,120,130,135,155,164,165,168,176,215,221,232,275,325,
333,335,442],[1,2,5,7,8,13,20,22,28,32,48,59,65,71,75,89,119,136,155,159,167,
225,272,324,443],[1,2,3,4,6,7,8,9,12,15,22,23,25,26,27,28,29,30,31,32,45,51,
58,66,69,71,73,78,79,80,81,82,83,84,90,117,131,132,135,160,161,162,176,177,
178,180,213,217,221,237,284,327,335,336,444],[1,2,3,4,6,7,8,9,12,15,21,22,23,
26,27,28,29,30,31,32,33,51,56,58,66,71,73,74,76,77,78,79,84,88,91,92,117,121,
125,135,156,157,166,172,173,176,177,217,221,223,234,283,326,330,335,445],[1,2,
3,4,6,7,8,9,12,20,21,22,23,25,27,28,29,30,31,32,33,56,58,69,71,73,74,75,76,77,
79,80,83,84,90,92,117,120,121,131,155,156,160,172,174,178,181,221,223,236,271,
325,326,336,446],[1,2,3,5,6,7,8,9,14,17,18,21,22,23,26,27,28,29,30,31,32,33,
49,55,66,71,73,74,76,77,78,79,84,88,91,92,126,127,137,156,157,166,172,173,176,
177,226,231,283,337,338,339,447],[1,2,3,5,6,7,8,9,13,14,16,17,18,21,22,23,24,
25,26,27,28,29,30,31,32,33,47,50,52,53,54,55,57,59,60,67,68,69,70,71,72,73,74,
76,77,78,80,81,82,83,84,85,86,87,88,90,91,118,122,123,124,134,138,139,140,156,
158,161,168,169,170,171,173,175,178,179,214,218,219,220,222,227,228,238,281,
329,331,341,342,343,344,345,448],[1,2,3,6,7,9,10,11,29,39,40,41,42,43,109,110,
111,112,113,114,141,207,208,239,240,241,348,349,350,449],[1,2,4,5,6,7,12,18,
23,34,35,45,46,56,93,106,129,142,182,183,184,244,285,355,359,360,450],[1,2,4,
5,6,7,12,18,23,34,35,45,46,56,93,106,129,142,183,185,244,286,356,359,361,
451],[1,2,4,5,7,12,18,24,34,35,46,58,93,106,130,142,184,185,244,287,357,360,
361,452],[1,2,4,5,7,12,18,24,34,36,46,58,95,106,130,143,186,187,246,288,358,
363,453],[1,2,3,4,5,6,8,9,13,14,15,16,18,30,34,35,37,50,52,53,57,93,94,101,
102,103,104,105,124,144,182,188,189,190,245,247,292,351,352,354,454],[1,2,3,4,
5,7,9,12,14,15,17,18,33,34,36,51,55,58,95,96,105,106,107,125,143,186,191,194,
246,248,295,353,358,455],[1,2,3,4,5,8,9,13,14,15,16,17,18,21,34,35,37,52,53,
54,55,60,93,96,97,98,100,101,102,103,104,123,144,188,189,192,193,196,204,243,
245,253,307,351,364,367,456],[1,2,3,4,5,8,9,12,13,14,15,16,17,18,21,34,35,37,
50,51,52,53,54,55,59,60,93,94,96,97,98,99,100,101,102,103,104,105,106,122,123,
144,188,189,190,192,193,194,195,196,202,203,204,243,245,247,253,254,307,308,
352,365,366,367,369,457],[1,2,4,5,7,12,18,22,34,58,106,120,145,249,371,458],[
1,2,4,5,6,7,12,18,23,34,56,58,106,121,146,250,370,372,459],[1,2,4,5,7,8,12,13,
18,32,34,35,37,47,53,59,93,99,101,104,106,139,144,185,189,202,245,254,293,351,
362,365,460],[1,2,3,4,5,7,9,13,14,15,16,18,33,34,35,37,47,50,52,60,93,94,100,
101,102,103,104,105,140,144,185,188,190,204,245,247,253,294,352,362,364,461],[
1,2,3,4,5,6,7,9,12,14,15,17,18,29,34,35,46,51,55,56,93,96,97,100,105,106,133,
142,182,185,194,196,242,244,252,298,355,361,368,462],[1,2,3,4,5,6,7,9,12,14,
15,17,18,29,34,35,46,51,55,56,93,96,97,100,105,106,133,142,183,184,194,196,
242,244,252,299,356,360,368,463],[1,2,3,4,5,6,7,9,12,14,15,17,18,29,34,35,45,
51,55,58,93,96,97,100,105,106,132,142,183,184,194,196,242,244,252,299,357,359,
368,464],[1,2,3,4,5,6,7,9,13,14,15,16,17,18,29,34,35,37,47,54,55,57,93,96,97,
98,100,101,102,103,104,134,144,182,185,192,193,196,243,245,253,298,354,362,
367,465],[1,2,4,5,6,7,12,18,23,34,35,56,58,93,106,121,142,182,183,184,244,285,
355,356,357,466],[1,2,4,5,7,12,18,25,34,36,58,95,106,131,143,186,246,289,358,
467],[1,2,4,5,7,12,18,26,34,58,106,135,146,250,370,468],[1,2,3,4,5,7,9,12,14,
15,17,18,33,34,51,55,58,96,105,106,125,146,194,250,257,370,373,469],[1,2,3,4,
5,6,8,9,12,13,14,16,18,30,34,35,37,52,53,57,59,60,93,99,100,101,102,103,104,
106,138,144,182,188,189,202,204,245,253,254,292,354,364,365,470],[1,2,4,6,7,
10,12,22,23,25,39,45,46,56,69,109,117,129,205,213,377,471],[1,2,4,7,10,12,22,
24,26,39,46,58,70,109,117,130,206,215,377,472],[1,2,5,7,8,10,13,18,24,26,32,
39,47,53,59,87,109,118,139,206,220,378,473],[1,2,3,5,7,9,10,13,14,16,24,25,33,
39,47,50,60,86,109,118,140,205,218,378,474],[1,2,3,4,6,7,9,10,12,15,22,29,33,
39,42,46,51,56,74,109,112,114,117,133,207,223,377,475],[1,2,3,5,6,7,9,10,13,
16,17,24,29,31,39,42,47,54,57,72,109,112,114,118,134,207,222,378,476],[1,2,3,
5,6,7,8,9,11,13,14,16,17,18,21,29,30,32,33,40,41,43,49,52,53,54,55,60,77,110,
111,113,123,126,127,137,208,231,265,379,381,382,477],[1,2,3,4,6,7,9,10,12,15,
25,26,29,39,42,45,51,58,64,82,109,112,114,131,132,135,153,154,205,206,207,237,
264,268,269,315,384,385,386,478],[1,4,5,34,35,36,142,143,145,146,147,317,
479],[1,4,5,34,35,36,37,38,142,143,144,145,146,147,148,149,150,151,316,317,
318,319,320,480],[1,4,5,34,35,36,38,142,143,145,146,147,148,149,150,151,317,
318,321,322,481],[1,2,10,11,39,41,141,241,387,482],[1,3,10,11,40,42,43,141,
239,240,387,483],[1,2,3,6,7,8,9,20,21,22,23,24,25,26,27,28,29,30,31,32,33,65,
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,
92,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,
173,174,175,176,177,178,179,180,181,270,271,272,273,274,275,276,277,278,279,
280,281,282,283,284,388,389,390,391,392,393,394,484],[1,2,4,5,7,8,12,13,20,22,
28,32,37,48,58,71,75,99,117,119,120,136,155,221,305,324,325,485],[1,2,5,7,8,
13,18,20,28,32,36,47,48,49,53,59,65,75,89,95,127,128,136,139,159,201,212,225,
229,230,309,340,346,395,486],[1,2,3,5,6,7,8,9,13,14,16,17,18,21,23,24,26,27,
29,30,32,33,35,52,53,54,55,60,68,77,81,83,85,87,88,93,97,100,102,104,123,171,
182,183,184,185,188,189,193,196,204,285,286,287,290,291,292,293,294,298,299,
307,396,397,398,399,401,406,407,487],[1,2,3,4,5,6,7,9,12,13,15,22,23,24,25,26,
29,33,37,45,46,47,51,56,58,68,69,70,74,82,86,88,99,117,119,120,121,125,129,
130,131,132,133,135,169,198,200,213,215,216,223,224,232,233,234,235,236,237,
303,305,334,347,411,412,413,488],[1,2,3,4,5,6,7,8,9,12,13,14,15,16,17,18,21,
23,24,26,27,29,30,32,33,37,45,46,47,50,51,52,53,54,55,56,57,58,59,60,68,77,81,
83,85,87,88,94,98,99,101,103,121,122,123,124,129,130,132,133,134,138,139,140,
171,190,192,195,197,198,199,200,202,203,233,238,296,297,300,301,302,303,304,
308,310,311,313,402,403,404,405,408,409,410,489],[1,2,7,8,11,20,26,28,32,41,
65,75,78,89,111,159,165,167,279,314,415,490],[1,2,4,5,8,12,13,18,34,35,37,53,
59,93,99,101,104,106,142,144,189,202,244,245,254,316,351,365,418,491],[1,2,3,
4,5,9,12,13,14,15,16,18,34,35,37,50,52,60,93,94,99,100,101,102,103,104,105,
106,142,144,188,190,203,204,244,245,247,252,253,254,316,352,364,366,417,418,
492],[1,2,4,5,8,13,18,34,35,37,38,49,53,93,101,104,144,147,149,189,245,319,
351,493],[1,2,4,5,8,13,18,34,35,37,38,48,53,93,101,104,144,145,149,189,245,
320,351,494],[1,2,3,4,5,9,12,13,14,15,16,17,18,34,35,37,51,54,55,93,94,96,97,
98,99,100,101,102,103,104,105,106,142,144,192,193,194,195,196,242,243,244,245,
247,252,253,254,316,367,368,369,416,417,418,495],[1,2,4,5,7,12,13,18,34,35,37,
46,47,93,99,101,104,106,142,144,185,198,244,245,254,316,361,362,418,496],[1,2,
4,5,6,12,13,18,34,35,37,56,57,93,99,101,104,106,142,144,182,197,244,245,254,
316,354,355,418,497],[1,2,4,5,6,12,13,18,34,35,37,45,56,93,99,101,104,106,142,
144,183,200,244,245,254,316,356,359,418,498],[1,2,4,5,7,12,13,18,34,35,37,46,
58,93,99,101,104,106,142,144,184,199,244,245,254,316,357,360,418,499],[1,2,3,
4,5,9,12,13,14,15,16,17,18,34,35,37,38,51,54,55,94,96,97,98,99,101,102,103,
104,105,106,108,144,147,149,192,193,194,195,243,247,251,254,255,256,261,319,
369,374,419,424,425,500],[1,2,3,4,5,9,12,14,15,17,18,34,35,36,51,55,93,95,96,
97,100,105,106,107,142,143,145,146,147,191,194,196,242,244,246,248,249,250,
251,252,255,256,257,317,353,368,373,374,420,421,423,501],[1,2,3,5,7,8,9,14,17,
18,19,27,31,32,48,55,62,92,115,128,210,428,502],[1,2,3,5,7,8,9,14,17,18,19,27,
31,32,49,55,62,92,115,127,210,429,503],[1,2,3,5,7,8,9,14,16,18,19,25,31,32,48,
52,61,90,115,128,209,428,504],[1,2,5,7,8,13,18,19,20,28,32,48,53,63,75,115,
128,136,211,230,428,505],[1,2,5,7,13,19,22,24,26,47,63,70,115,118,119,211,214,
216,506],[1,2,5,8,13,19,20,48,59,63,65,115,136,211,225,263,376,431,507],[1,2,
4,5,7,10,12,13,22,37,39,46,58,64,99,109,117,119,120,153,199,268,305,377,508],[
1,2,5,7,8,11,18,32,36,41,49,95,127,186,265,509],[1,2,5,7,8,11,18,32,35,41,48,
93,128,185,267,510],[1,2,5,7,8,11,18,32,35,41,49,93,127,184,266,511],[1,2,5,7,
8,11,18,32,36,41,48,95,128,187,267,512],[1,2,5,7,8,11,18,32,36,41,48,49,95,
127,128,187,266,267,513],[1,4,10,11,64,141,387,514],[1,2,3,5,7,8,9,13,16,17,
20,21,24,25,27,28,31,32,33,48,50,54,59,65,66,67,75,76,80,85,86,89,90,92,118,
122,136,157,159,162,164,170,181,218,219,225,227,270,276,277,343,388,432,515],[
1,2,3,5,6,7,8,9,17,20,23,24,27,28,29,30,31,32,48,49,65,66,67,68,72,73,75,79,
83,89,92,126,158,159,163,164,174,177,212,226,270,274,278,338,389,433,516],[1,
2,5,7,8,18,20,22,24,26,28,32,48,49,65,66,67,70,71,75,78,87,89,127,128,155,159,
164,165,167,168,176,212,226,270,272,273,275,279,337,340,393,433,517],[1,2,3,5,
7,8,9,14,20,21,24,25,27,28,31,32,33,48,49,65,66,67,75,76,80,85,86,89,90,92,
137,157,159,162,164,170,181,212,226,270,276,277,339,388,433,518],[1,2,5,7,8,
13,18,20,22,24,26,28,32,47,48,53,59,65,66,67,70,71,75,78,87,89,118,128,136,
139,155,159,164,165,167,168,176,214,220,225,227,229,230,270,272,273,275,279,
342,346,393,432,519],[1,2,3,5,6,7,8,9,13,14,20,23,24,27,28,29,30,31,32,48,57,
59,60,65,66,67,68,72,73,75,79,83,89,92,118,136,138,158,159,163,164,174,177,
222,225,227,228,270,274,278,345,389,432,520],[1,2,5,7,8,13,18,20,22,24,26,28,
32,47,48,49,53,59,65,66,67,70,71,75,78,87,89,127,128,136,139,155,159,164,165,
167,168,176,212,225,229,230,270,272,273,275,279,332,340,346,393,434,437,441,
521],[1,2,5,7,8,13,18,20,22,24,26,28,32,47,48,53,59,65,66,67,70,71,75,78,87,
89,119,128,136,139,155,159,164,165,167,168,176,216,225,229,230,270,272,273,
275,279,324,346,393,436,439,443,522],[1,2,3,4,6,7,8,9,12,15,20,21,22,23,24,25,
26,27,28,29,30,31,32,33,45,46,51,56,58,66,67,68,69,70,71,72,73,74,75,76,77,78,
79,80,81,82,83,84,85,86,87,88,89,90,91,92,117,120,121,125,129,130,131,132,133,
135,155,156,157,158,160,161,162,163,164,165,166,168,169,170,171,172,173,174,
175,176,177,178,179,180,181,213,215,217,221,223,224,232,233,234,235,236,237,
271,274,275,276,280,281,282,283,284,325,326,327,328,330,333,334,335,336,347,
390,435,438,440,442,444,445,446,523],[1,4,5,11,34,35,37,142,144,316,524],[1,2,
3,4,5,6,7,9,12,14,15,17,18,23,24,29,34,35,45,46,51,55,56,58,68,93,96,97,100,
105,106,121,129,130,132,133,142,182,183,184,185,194,196,233,242,244,252,285,
286,287,298,299,355,356,357,359,360,361,368,406,450,451,452,462,463,464,466,
525],[1,2,3,4,5,6,7,8,9,12,13,14,15,16,17,18,21,29,30,32,33,34,35,37,47,50,51,
52,53,54,55,57,59,60,77,93,94,96,97,98,99,100,101,102,103,104,105,106,122,123,
124,134,138,139,140,144,182,185,188,189,190,192,193,194,195,196,202,203,204,
238,243,245,247,253,254,292,293,294,298,307,308,351,352,354,362,364,365,366,
367,369,401,454,456,457,460,461,465,470,526],[1,2,3,4,5,7,9,12,14,15,17,18,24,
25,33,34,36,46,51,55,58,86,95,96,105,106,107,125,130,131,143,186,187,191,194,
235,246,248,288,289,295,353,358,363,400,453,455,467,527],[1,2,3,4,5,6,7,9,12,
14,15,17,18,23,26,33,34,51,55,56,58,88,96,105,106,121,125,135,146,194,234,250,
257,370,372,373,459,468,469,528],[1,2,3,4,6,7,9,10,12,15,22,23,24,25,26,29,33,
39,42,45,46,51,56,58,68,69,70,74,82,86,88,109,112,114,117,121,129,130,132,133,
169,205,206,207,213,215,223,233,315,334,377,471,472,475,529],[1,2,3,5,6,7,8,9,
10,13,14,16,17,18,21,24,25,26,29,30,31,32,33,39,42,47,50,52,53,54,55,57,59,60,
72,77,82,86,87,90,91,109,112,114,118,122,123,124,134,138,139,140,175,205,206,
207,218,220,222,238,315,331,378,473,474,476,530],[1,2,4,5,12,18,34,35,36,93,
95,106,142,143,145,146,147,244,246,249,250,251,317,421,479,531],[1,3,4,5,14,
15,17,34,35,36,96,97,100,105,107,142,143,145,146,147,242,248,252,255,256,257,
317,420,423,479,532],[1,3,4,5,14,15,17,34,35,36,37,38,96,97,98,105,107,142,
143,144,145,146,147,148,149,150,151,242,243,248,255,256,257,316,317,318,319,
320,416,420,424,480,533],[1,2,4,5,12,13,18,34,35,36,37,38,93,95,99,101,104,
106,142,143,144,145,146,147,148,149,150,151,244,245,246,249,250,251,254,316,
317,318,319,320,418,421,425,426,480,534],[1,3,4,5,14,15,16,17,34,35,36,37,38,
94,96,100,102,103,105,107,108,142,143,144,145,146,147,148,149,150,151,247,248,
252,253,255,256,257,258,259,260,261,316,317,318,319,320,417,419,423,427,480,
535],[1,3,4,5,14,15,17,34,35,36,38,96,100,105,107,108,142,143,145,146,147,148,
149,150,151,248,252,255,256,257,258,259,260,261,317,318,321,322,422,423,427,
481,536],[1,2,7,10,11,39,41,109,111,141,241,348,387,482,537],[1,2,6,10,11,39,
41,110,114,141,241,349,387,482,538],[1,2,3,9,10,11,39,40,41,42,43,112,113,141,
239,240,241,350,387,482,483,539],[1,2,4,5,7,8,12,13,20,22,24,26,28,32,37,46,
47,48,58,66,67,70,71,75,78,87,89,99,117,119,120,130,135,136,155,164,165,168,
176,198,215,216,221,229,232,275,305,324,325,333,335,411,439,442,485,540],[1,2,
5,7,8,13,20,24,28,32,36,48,49,59,65,66,67,75,89,118,136,159,164,201,212,225,
226,227,270,332,395,432,433,434,541],[1,2,3,4,5,6,7,8,9,12,13,15,20,21,22,23,
25,27,28,29,30,31,32,33,37,45,48,51,56,58,69,71,73,74,75,76,77,79,80,83,84,90,
92,99,117,119,120,121,125,131,132,136,155,156,160,172,174,178,181,200,213,217,
221,223,224,236,271,305,324,325,326,327,330,336,412,413,435,446,485,542],[1,2,
4,5,7,8,12,13,18,20,22,28,32,37,48,53,58,59,65,71,75,89,99,101,117,119,120,
128,136,155,159,167,202,221,225,230,272,305,324,325,436,443,485,543],[1,2,5,7,
8,13,18,20,26,28,32,36,47,48,49,53,59,65,75,78,89,95,127,128,136,139,159,165,
167,187,201,212,225,229,230,279,309,340,346,395,486,544],[1,2,3,4,5,8,9,12,13,
14,15,16,17,18,21,34,35,37,50,51,52,53,54,55,59,60,93,94,96,97,98,99,100,101,
102,103,104,105,106,122,123,142,144,188,189,190,192,193,194,195,196,202,203,
204,242,243,244,245,247,252,253,254,307,308,316,351,352,364,365,366,367,368,
369,416,417,418,456,457,491,492,495,545],[1,2,3,4,5,6,8,9,13,14,15,16,17,18,
30,34,35,37,38,49,50,52,53,57,93,94,96,101,102,103,104,105,108,124,126,144,
147,149,182,188,189,190,245,247,256,261,292,319,351,352,354,419,454,493,546],[
1,2,4,5,7,8,12,13,18,32,34,35,37,46,47,53,59,93,99,101,104,106,139,142,144,
185,189,198,202,244,245,254,293,297,316,351,361,362,365,418,460,491,496,547],[
1,2,3,4,5,7,9,12,13,14,15,16,18,33,34,35,37,46,47,50,52,60,93,94,99,100,101,
102,103,104,105,106,140,142,144,185,188,190,198,203,204,244,245,247,252,253,
254,294,296,316,352,361,362,364,366,417,418,461,492,496,548],[1,2,3,4,5,6,7,9,
12,13,14,15,16,17,18,29,34,35,37,46,47,51,54,55,56,57,93,94,96,97,98,99,100,
101,102,103,104,105,106,133,134,142,144,182,185,192,193,194,195,196,197,198,
242,243,244,245,247,252,253,254,298,304,316,354,355,361,362,367,368,369,416,
417,418,462,465,495,496,497,549],[1,2,4,5,6,7,12,13,18,23,34,35,37,45,46,47,
56,93,99,101,104,106,129,142,144,183,185,198,200,244,245,254,286,303,316,356,
359,361,362,418,451,496,498,550],[1,2,4,5,7,12,13,18,24,34,35,37,46,47,58,93,
99,101,104,106,130,142,144,184,185,198,199,244,245,254,287,302,316,357,360,
361,362,418,452,496,499,551],[1,2,4,5,7,12,13,18,26,34,35,37,46,47,93,99,101,
104,106,142,144,185,198,244,245,254,290,301,316,361,362,418,496,552],[1,2,4,5,
7,12,13,18,27,34,35,37,46,47,93,99,101,104,106,142,144,185,198,244,245,254,
291,300,316,361,362,418,496,553],[1,2,3,4,5,6,7,9,12,13,14,15,16,17,18,29,34,
35,37,45,46,51,54,55,56,58,93,94,96,97,98,99,100,101,102,103,104,105,106,132,
133,142,144,183,184,192,193,194,195,196,199,200,242,243,244,245,247,252,253,
254,299,310,316,356,357,359,360,367,368,369,416,417,418,463,464,495,498,499,
554],[1,2,4,5,7,8,12,13,18,32,34,35,37,38,47,49,53,59,93,99,101,104,106,127,
139,144,147,149,185,189,202,245,251,254,293,319,351,362,365,425,460,493,555],[
1,2,4,5,7,8,12,13,18,32,34,35,37,38,47,48,53,59,93,99,101,104,106,128,139,144,
145,149,185,189,202,245,249,254,293,320,351,362,365,426,460,494,556],[1,2,3,4,
5,8,9,13,14,15,16,17,18,21,34,35,37,38,49,52,53,54,55,60,93,96,97,98,100,101,
102,103,104,105,123,137,144,147,149,188,189,192,193,196,204,243,245,253,255,
307,319,351,364,367,424,456,493,557],[1,2,4,5,6,7,12,13,18,23,34,35,37,45,46,
56,57,58,93,99,101,104,106,121,129,142,144,182,183,184,197,199,200,244,245,
254,285,311,316,354,355,356,357,359,360,418,450,466,497,498,499,558],[1,2,3,4,
5,6,8,9,12,13,14,15,16,18,30,34,35,37,50,52,53,56,57,59,60,93,94,99,100,101,
102,103,104,105,106,124,138,142,144,182,188,189,190,197,202,203,204,244,245,
247,252,253,254,292,313,316,351,352,354,355,364,365,366,417,418,454,470,491,
492,497,559],[1,2,4,5,7,12,13,18,22,34,35,37,38,58,99,101,104,106,117,119,120,
144,145,149,249,254,305,320,371,426,458,560],[1,2,5,8,11,13,18,41,44,49,53,
262,265,266,561],[1,2,3,5,7,8,9,13,14,16,17,18,19,20,21,25,27,28,31,32,33,48,
52,53,54,55,60,61,62,63,75,76,80,90,92,115,123,128,136,152,181,209,210,211,
230,323,428,502,504,505,562],[1,2,4,5,7,10,12,13,22,24,26,37,39,46,47,70,99,
109,117,118,198,214,215,301,377,378,563],[1,2,3,5,7,8,9,11,18,27,31,32,35,40,
41,43,48,92,93,113,128,185,267,291,510,564],[1,2,3,5,7,8,9,11,18,25,31,32,36,
40,41,43,49,90,95,113,127,186,265,289,509,565],[1,2,4,5,6,7,10,12,13,22,23,25,
37,39,45,46,56,57,58,64,69,99,109,117,119,120,121,129,131,153,197,199,200,205,
213,236,268,305,311,377,385,413,471,508,566],[1,2,5,7,8,11,18,24,26,32,35,41,
49,87,93,111,127,184,185,266,287,511,567],[1,2,5,6,7,8,11,18,23,27,32,35,41,
48,83,93,110,128,183,185,267,286,510,568],[1,2,5,6,7,8,11,18,23,27,32,35,41,
49,83,93,110,127,182,183,184,266,285,511,569],[1,2,5,7,8,11,18,24,26,32,36,41,
49,87,95,111,127,186,187,265,288,509,570],[1,2,5,7,8,11,18,24,26,32,36,41,48,
87,95,111,128,186,187,267,288,512,571],[1,2,4,5,7,10,12,13,22,24,26,37,39,46,
47,58,64,70,99,109,117,119,120,130,135,153,198,199,206,215,216,232,268,302,
305,377,386,411,472,508,572],[1,2,5,7,8,11,13,18,20,28,32,35,41,48,53,75,93,
104,111,128,136,185,189,230,267,293,383,510,573],[1,2,3,5,6,7,8,9,11,14,17,18,
21,29,30,32,33,36,41,49,55,77,95,107,110,126,127,137,186,191,231,265,295,382,
509,574],[1,2,3,5,6,7,8,9,11,14,17,18,21,29,30,32,33,35,40,41,43,49,55,77,93,
97,100,113,126,127,137,183,184,196,231,266,299,380,511,575],[1,2,3,4,5,6,7,9,
10,12,13,15,16,17,22,29,33,37,39,42,45,46,51,54,56,58,64,74,94,98,99,109,112,
114,117,119,120,125,132,133,153,154,195,199,200,207,223,224,264,268,269,305,
310,377,384,412,475,508,576],[1,4,5,34,35,36,37,38,142,143,144,145,146,147,
148,149,150,151,316,317,318,319,320,321,322,479,480,481,577],[1,2,4,10,11,12,
39,41,64,141,153,241,387,482,514,578],[1,3,4,10,11,15,40,42,43,64,141,154,239,
240,387,483,514,579],[1,2,3,5,6,7,8,9,14,17,18,20,21,22,23,24,25,26,27,28,29,
30,31,32,33,48,49,55,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,
84,85,86,87,88,89,90,91,92,126,127,128,137,155,156,157,158,159,160,161,162,
163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,
212,226,231,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,337,
338,339,340,388,389,390,391,392,393,394,433,447,484,516,517,518,580],[1,2,3,5,
6,7,8,9,13,14,16,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,47,48,50,52,
53,54,55,57,59,60,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,
85,86,87,88,89,90,91,92,118,122,123,124,128,134,136,138,139,140,155,156,157,
158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,
177,178,179,180,181,214,218,219,220,222,225,227,228,229,230,238,270,271,272,
273,274,275,276,277,278,279,280,281,282,283,284,329,331,341,342,343,344,345,
346,388,389,390,391,392,393,394,432,448,484,515,519,520,581],[1,3,4,5,11,15,
17,34,35,37,40,96,97,98,142,144,242,243,316,416,524,582],[1,2,4,5,11,12,13,18,
34,35,37,41,93,99,101,104,106,142,144,244,245,254,316,418,524,583],[1,3,4,5,
11,14,15,16,34,35,37,43,94,100,102,103,105,142,144,247,252,253,316,417,524,
584],[1,2,5,7,8,11,18,20,24,28,32,41,48,49,65,66,67,75,89,127,128,159,164,212,
226,265,266,267,270,314,340,415,433,585],[1,2,5,7,8,11,13,18,20,22,28,32,41,
47,48,53,59,65,71,75,89,119,128,136,139,155,159,167,225,229,230,267,272,314,
324,346,415,443,586],[1,2,4,5,6,12,18,34,35,36,45,93,95,106,142,143,145,146,
147,183,244,246,249,250,251,317,359,421,479,531,587],[1,2,4,5,7,12,18,34,35,
36,46,93,95,106,142,143,145,146,147,184,185,187,244,246,249,250,251,317,360,
361,363,421,479,531,588],[1,2,4,5,6,12,18,34,35,36,56,93,95,106,142,143,145,
146,147,182,183,244,246,249,250,251,317,355,356,372,421,479,531,589],[1,2,4,5,
7,12,18,34,35,36,58,93,95,106,142,143,145,146,147,184,186,244,246,249,250,251,
317,357,358,370,371,421,479,531,590],[1,2,3,4,5,9,12,14,15,17,18,34,35,36,51,
55,93,95,96,97,100,105,106,107,142,143,145,146,147,191,194,196,242,244,246,
248,249,250,251,252,255,256,257,317,353,368,373,374,420,421,423,479,501,531,
532,591],[1,2,4,5,8,12,13,18,34,35,36,37,38,48,49,53,59,93,99,101,104,106,142,
143,144,145,146,147,148,149,150,151,189,201,202,244,245,254,316,317,318,319,
320,351,365,418,480,491,493,494,592],[1,2,3,4,5,9,12,13,14,15,16,17,18,34,35,
36,37,38,51,54,55,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,
142,143,144,145,146,147,148,149,150,151,191,192,193,194,195,196,242,243,244,
245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,316,317,
318,319,320,353,367,368,369,373,374,416,417,418,419,420,421,423,424,425,426,
427,480,495,500,501,533,534,535,593],[1,2,7,10,11,25,39,41,109,111,141,205,
241,348,387,482,537,594],[1,2,7,10,11,26,39,41,109,111,141,206,241,348,387,
482,537,595],[1,2,3,6,7,9,10,11,29,39,40,41,42,43,109,110,111,112,113,114,141,
207,208,239,240,241,348,349,350,387,449,482,483,537,538,539,596],[1,2,3,4,5,6,
7,8,9,12,13,15,20,21,22,23,24,25,26,27,28,29,30,31,32,33,37,45,46,47,48,51,56,
58,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,
91,92,99,117,119,120,121,125,129,130,131,132,133,135,136,155,156,157,158,160,
161,162,163,164,165,166,168,169,170,171,172,173,174,175,176,177,178,179,180,
181,198,200,213,215,216,217,221,223,224,229,232,233,234,235,236,237,271,274,
275,276,280,281,282,283,284,303,305,324,325,326,327,328,330,333,334,335,336,
347,390,411,412,413,435,438,439,440,442,444,445,446,485,488,523,540,542,597],[
1,2,5,7,8,13,18,20,22,24,26,28,32,36,47,48,49,53,59,65,66,67,70,71,75,78,87,
89,95,118,127,128,136,139,155,159,164,165,167,168,176,201,212,214,220,225,226,
227,229,230,270,272,273,275,279,309,332,337,340,342,346,393,395,432,433,434,
437,441,486,517,519,521,541,598],[1,2,3,5,7,8,9,13,14,16,17,20,21,24,25,27,28,
31,32,33,36,48,49,50,54,59,65,66,67,75,76,80,85,86,89,90,92,107,118,122,136,
137,157,159,162,164,170,181,201,212,218,219,225,226,227,270,276,277,312,332,
339,343,388,395,432,433,434,515,518,541,599],[1,2,4,5,7,8,12,13,20,22,24,25,
26,27,28,32,37,46,47,48,58,66,67,70,71,75,78,79,80,87,89,99,117,119,120,130,
135,136,155,162,163,164,165,168,176,198,215,216,221,229,232,275,277,278,300,
305,324,325,333,335,394,411,439,442,485,540,600],[1,2,4,5,7,8,12,13,18,20,22,
24,26,28,32,37,46,47,48,53,58,59,65,66,67,70,71,75,78,87,89,99,101,117,119,
120,128,130,135,136,139,155,159,164,165,167,168,176,198,202,215,216,221,225,
229,230,232,270,272,273,275,279,297,305,324,325,333,335,346,393,411,436,439,
442,443,485,522,540,543,601],[1,2,3,5,6,7,8,9,13,14,17,20,23,24,27,28,29,30,
31,32,36,48,49,57,59,60,65,66,67,68,72,73,75,79,83,89,92,107,118,126,136,138,
158,159,163,164,174,177,201,212,222,225,226,227,228,270,274,278,306,332,338,
345,389,395,432,433,434,516,520,541,602],[1,4,5,10,34,35,36,64,142,143,145,
146,147,317,479,603],[1,2,3,4,5,6,7,9,12,13,14,15,16,17,18,23,24,29,34,35,37,
45,46,47,51,54,55,56,57,58,68,93,94,96,97,98,99,100,101,102,103,104,105,106,
121,129,130,132,133,134,142,144,182,183,184,185,192,193,194,195,196,197,198,
199,200,233,242,243,244,245,247,252,253,254,285,286,287,298,299,302,303,304,
310,311,316,354,355,356,357,359,360,361,362,367,368,369,406,409,416,417,418,
450,451,452,462,463,464,465,466,495,496,497,498,499,525,549,550,551,554,558,
604],[1,2,3,4,5,6,7,8,9,12,13,14,15,16,17,18,21,29,30,32,33,34,35,37,46,47,50,
51,52,53,54,55,56,57,59,60,77,93,94,96,97,98,99,100,101,102,103,104,105,106,
122,123,124,133,134,138,139,140,142,144,182,185,188,189,190,192,193,194,195,
196,197,198,202,203,204,238,242,243,244,245,247,252,253,254,292,293,294,296,
297,298,304,307,308,313,316,351,352,354,355,361,362,364,365,366,367,368,369,
401,410,416,417,418,454,456,457,460,461,462,465,470,491,492,495,496,497,526,
545,547,548,549,559,605],[1,2,4,5,7,8,12,13,18,24,26,32,34,35,37,46,47,53,58,
59,87,93,99,101,104,106,130,139,142,144,184,185,189,198,199,202,244,245,254,
287,290,293,297,301,302,316,351,357,360,361,362,365,398,405,418,452,460,491,
496,499,547,551,552,606],[1,2,3,4,5,6,7,9,12,13,14,15,16,18,23,26,33,34,35,37,
45,46,47,50,52,56,60,88,93,94,99,100,101,102,103,104,105,106,129,140,142,144,
183,185,188,190,198,200,203,204,244,245,247,252,253,254,286,290,294,296,301,
303,316,352,356,359,361,362,364,366,399,403,417,418,451,461,492,496,498,548,
550,552,607],[1,2,3,4,5,7,9,12,13,14,15,16,18,24,27,33,34,35,37,46,47,50,52,
58,60,85,93,94,99,100,101,102,103,104,105,106,130,140,142,144,184,185,188,190,
198,199,203,204,244,245,247,252,253,254,287,291,294,296,300,302,316,352,357,
360,361,362,364,366,396,402,417,418,452,461,492,496,499,548,551,553,608],[1,2,
4,5,6,7,8,12,13,18,23,27,32,34,35,37,45,46,47,53,56,59,83,93,99,101,104,106,
129,139,142,144,183,185,189,198,200,202,244,245,254,286,291,293,297,300,303,
316,351,356,359,361,362,365,397,404,418,451,460,491,496,498,547,550,553,609],[
1,2,3,4,5,6,7,9,12,13,14,15,16,17,18,26,27,29,34,35,37,46,47,51,54,55,56,57,
81,93,94,96,97,98,99,100,101,102,103,104,105,106,133,134,142,144,182,185,192,
193,194,195,196,197,198,242,243,244,245,247,252,253,254,290,291,298,300,301,
304,316,354,355,361,362,367,368,369,407,408,416,417,418,462,465,495,496,497,
549,552,553,610],[1,2,3,4,5,6,7,8,9,12,13,14,15,16,17,18,21,29,30,32,33,34,35,
37,38,47,49,50,51,52,53,54,55,57,59,60,77,93,94,96,97,98,99,100,101,102,103,
104,105,106,108,122,123,124,126,127,134,137,138,139,140,144,147,149,182,185,
188,189,190,192,193,194,195,196,202,203,204,231,238,243,245,247,251,253,254,
255,256,261,292,293,294,298,307,308,319,351,352,354,362,364,365,366,367,369,
374,401,419,424,425,454,456,457,460,461,465,470,493,500,526,546,555,557,611],[
1,2,3,5,8,9,11,13,14,16,17,18,21,40,41,43,44,49,52,53,54,55,60,113,116,123,
137,262,265,266,375,379,380,561,612],[1,2,5,7,8,13,18,19,20,22,28,32,48,49,53,
65,71,75,89,115,119,127,128,136,155,159,167,212,230,263,272,324,332,340,430,
431,436,437,613],[1,2,4,5,7,8,10,12,13,18,22,24,26,28,32,37,39,46,47,53,58,59,
67,70,71,78,87,99,101,109,117,118,130,139,168,198,199,202,206,214,215,220,221,
227,297,301,302,333,342,377,378,405,472,473,563,614],[1,2,3,4,5,6,7,9,10,12,
13,14,16,22,23,24,25,26,29,33,37,39,45,46,47,50,56,60,68,69,70,74,82,86,88,99,
103,109,117,118,129,140,169,198,200,203,205,213,214,215,218,223,228,296,301,
303,334,341,377,378,403,471,474,563,615],[1,2,3,4,5,6,7,9,10,12,13,15,16,17,
22,24,26,27,29,31,33,37,39,42,46,47,51,54,56,57,70,72,74,81,84,85,91,94,98,99,
109,112,114,117,118,133,134,179,195,197,198,207,214,215,217,219,222,223,300,
301,304,328,329,377,378,408,475,476,563,616],[1,2,3,5,6,7,8,9,11,14,17,18,21,
24,25,26,29,30,31,32,33,36,40,41,43,49,55,72,77,82,86,87,90,91,95,107,110,111,
113,126,127,137,175,186,187,191,208,231,265,288,289,295,382,400,509,565,570,
574,617],[1,2,3,5,6,7,8,9,11,13,18,20,23,27,28,29,30,31,32,35,40,41,43,48,53,
73,75,79,83,92,93,104,110,111,113,128,136,174,183,185,189,208,230,267,286,291,
293,383,397,510,564,568,573,618],[1,2,3,5,6,7,8,9,11,14,17,18,21,23,24,26,27,
29,30,32,33,35,40,41,43,49,55,68,77,81,83,85,87,88,93,97,100,110,111,113,126,
127,137,171,182,183,184,185,196,208,231,266,285,286,287,298,299,380,406,511,
567,569,575,619],[1,2,3,4,5,6,7,9,10,12,13,15,16,17,22,23,24,25,26,29,33,37,
39,42,45,46,47,51,54,56,57,58,64,68,69,70,74,82,86,88,94,98,99,109,112,114,
117,119,120,121,125,129,130,131,132,133,134,135,153,154,169,195,197,198,199,
200,205,206,207,213,215,216,223,224,232,233,234,235,236,237,264,268,269,302,
303,304,305,310,311,315,334,347,377,384,385,386,409,411,412,413,471,472,475,
478,488,508,529,566,572,576,620],[1,2,4,5,12,13,18,34,35,36,37,38,93,95,99,
101,104,106,142,143,144,145,146,147,148,149,150,151,244,245,246,249,250,251,
254,316,317,318,319,320,321,322,418,421,425,426,479,480,481,531,534,577,621],[
1,3,4,5,14,15,16,17,34,35,36,37,38,94,96,97,100,102,103,105,107,108,142,143,
144,145,146,147,148,149,150,151,242,247,248,252,253,255,256,257,258,259,260,
261,316,317,318,319,320,321,322,417,419,420,422,423,427,479,480,481,532,535,
536,577,622],[1,3,4,5,14,15,17,34,35,36,37,38,96,97,98,100,105,107,142,143,
144,145,146,147,148,149,150,151,242,243,248,252,255,256,257,316,317,318,319,
320,321,322,416,420,423,424,479,480,481,532,533,577,623],[1,2,3,4,9,10,11,12,
15,39,40,41,42,43,51,64,112,113,141,153,154,239,240,241,269,350,387,482,483,
514,539,578,579,624],[1,2,4,7,10,11,12,39,41,58,64,109,111,141,153,241,268,
348,387,482,514,537,578,625],[1,2,4,6,10,11,12,39,41,45,64,110,114,141,153,
241,264,349,387,482,514,538,578,626],[1,2,4,5,6,11,12,13,18,34,35,37,41,45,56,
93,99,101,104,106,110,142,144,183,200,244,245,254,316,356,359,418,498,524,583,
627],[1,2,4,5,7,11,12,13,18,34,35,37,41,46,58,93,99,101,104,106,111,142,144,
184,199,244,245,254,316,357,360,418,499,524,583,628],[1,2,3,4,5,9,11,12,13,14,
15,16,17,18,34,35,37,40,41,43,51,54,55,93,94,96,97,98,99,100,101,102,103,104,
105,106,113,142,144,192,193,194,195,196,242,243,244,245,247,252,253,254,316,
367,368,369,416,417,418,495,524,582,583,584,629],[1,2,5,7,8,11,13,18,20,22,24,
26,28,32,41,48,49,53,65,66,67,70,71,75,78,87,89,111,127,128,136,155,159,164,
165,167,168,176,212,226,230,265,266,267,270,272,273,275,279,314,332,337,340,
381,383,393,415,433,437,490,517,585,630],[1,2,4,5,7,12,18,22,34,35,36,58,93,
95,106,120,142,143,145,146,147,184,186,244,246,249,250,251,317,357,358,370,
371,421,458,479,531,590,631],[1,2,4,5,6,7,12,18,23,34,35,36,45,46,56,93,95,
106,129,142,143,145,146,147,182,183,184,185,187,244,246,249,250,251,285,286,
317,355,356,359,360,361,363,372,421,450,451,479,531,587,588,589,632],[1,2,4,5,
7,12,18,24,34,35,36,46,58,93,95,106,130,142,143,145,146,147,184,185,186,187,
244,246,249,250,251,287,288,317,357,358,360,361,363,370,371,421,452,453,479,
531,588,590,633],[1,2,4,5,6,7,12,18,23,34,35,36,56,58,93,95,106,121,142,143,
145,146,147,182,183,184,186,244,246,249,250,251,285,317,355,356,357,358,370,
371,372,421,459,466,479,531,589,590,634],[1,2,4,5,7,12,18,25,34,35,36,58,93,
95,106,131,142,143,145,146,147,184,186,244,246,249,250,251,289,317,357,358,
370,371,421,467,479,531,590,635],[1,2,4,5,7,12,18,26,34,35,36,58,93,95,106,
135,142,143,145,146,147,184,186,244,246,249,250,251,317,357,358,370,371,421,
468,479,531,590,636],[1,2,3,4,5,7,9,12,14,15,17,18,33,34,35,36,51,55,58,93,95,
96,97,100,105,106,107,125,142,143,145,146,147,184,186,191,194,196,242,244,246,
248,249,250,251,252,255,256,257,295,317,353,357,358,368,370,371,373,374,420,
421,423,455,469,479,501,531,532,590,591,637],[1,2,3,4,5,6,7,9,12,14,15,17,18,
29,34,35,36,45,51,55,58,93,95,96,97,100,105,106,107,132,142,143,145,146,147,
183,184,186,191,194,196,242,244,246,248,249,250,251,252,255,256,257,299,317,
353,357,358,359,368,370,371,373,374,420,421,423,464,479,501,531,532,587,590,
591,638],[1,2,3,4,5,6,7,9,12,14,15,17,18,29,34,35,36,46,51,55,56,93,95,96,97,
100,105,106,107,133,142,143,145,146,147,182,183,184,185,187,191,194,196,242,
244,246,248,249,250,251,252,255,256,257,298,299,317,353,355,356,360,361,363,
368,372,373,374,420,421,423,462,463,479,501,531,532,588,589,591,639],[1,2,4,5,
7,8,12,13,18,32,34,35,36,37,38,46,47,48,49,53,59,93,95,99,101,104,106,127,128,
139,142,143,144,145,146,147,148,149,150,151,185,189,198,201,202,244,245,246,
249,250,251,254,293,297,309,316,317,318,319,320,351,361,362,365,418,421,425,
426,460,480,491,493,494,496,534,547,555,556,592,640],[1,2,3,4,5,6,8,9,12,13,
14,15,16,17,18,30,34,35,36,37,38,48,49,50,52,53,56,57,59,60,93,94,96,99,100,
101,102,103,104,105,106,107,108,124,126,138,142,143,144,145,146,147,148,149,
150,151,182,188,189,190,197,201,202,203,204,244,245,247,248,252,253,254,255,
256,257,258,259,260,261,292,306,313,316,317,318,319,320,351,352,354,355,364,
365,366,417,418,419,423,427,454,470,480,491,492,493,494,497,535,546,559,592,
641],[1,2,3,4,5,8,9,12,13,14,15,16,17,18,21,34,35,36,37,38,48,49,50,51,52,53,
54,55,59,60,93,94,96,97,98,99,100,101,102,103,104,105,106,107,122,123,137,142,
143,144,145,146,147,148,149,150,151,188,189,190,192,193,194,195,196,201,202,
203,204,242,243,244,245,247,248,252,253,254,255,256,257,307,308,312,316,317,
318,319,320,351,352,364,365,366,367,368,369,416,417,418,420,424,456,457,480,
491,492,493,494,495,533,545,557,592,642],[1,2,3,6,7,9,10,11,25,26,29,39,40,41,
42,43,82,109,110,111,112,113,114,141,205,206,207,208,239,240,241,315,348,349,
350,387,449,482,483,537,538,539,594,595,596,643],[1,2,3,5,6,7,8,9,13,14,16,17,
18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,36,47,48,49,50,52,53,54,55,57,59,
60,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,
90,91,92,95,107,118,122,123,124,126,127,128,134,136,137,138,139,140,155,156,
157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,
176,177,178,179,180,181,191,201,212,214,218,219,220,222,225,226,227,228,229,
230,231,238,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,306,
309,312,329,331,332,337,338,339,340,341,342,343,344,345,346,388,389,390,391,
392,393,394,395,414,432,433,434,437,441,447,448,484,486,515,516,517,518,519,
520,521,541,580,581,598,599,602,644],[1,2,3,4,5,6,7,8,9,12,13,15,18,20,21,22,
23,24,25,26,27,28,29,30,31,32,33,37,45,46,47,48,51,53,56,58,59,65,66,67,68,69,
70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,99,101,
117,119,120,121,125,128,129,130,131,132,133,135,136,139,155,156,157,158,159,
160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,
179,180,181,198,200,202,213,215,216,217,221,223,224,225,229,230,232,233,234,
235,236,237,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,297,
300,303,305,324,325,326,327,328,330,333,334,335,336,346,347,388,389,390,391,
392,393,394,404,411,412,413,435,436,438,439,440,442,443,444,445,446,484,485,
488,522,523,540,542,543,597,600,601,645],[1,2,4,5,10,12,18,34,35,36,39,64,93,
95,106,142,143,145,146,147,153,244,246,249,250,251,317,421,479,531,603,646],[
1,3,4,5,10,14,15,17,34,35,36,42,64,96,97,100,105,107,142,143,145,146,147,154,
242,248,252,255,256,257,317,420,423,479,532,603,647],[1,2,5,7,8,11,13,18,19,
32,36,41,47,48,49,53,59,95,111,115,127,128,139,186,201,265,309,381,430,509,
648],[1,2,5,7,8,11,13,18,19,32,36,41,47,48,49,53,59,95,111,115,127,128,139,
187,201,266,267,309,383,429,430,513,649],[1,2,5,7,8,11,13,18,19,32,36,41,47,
48,49,53,59,95,111,115,127,128,139,187,201,267,309,383,428,430,512,650],[1,2,
3,4,5,6,7,8,9,12,13,14,15,16,17,18,21,23,24,26,27,29,30,32,33,34,35,37,45,46,
47,50,51,52,53,54,55,56,57,58,59,60,68,77,81,83,85,87,88,93,94,96,97,98,99,
100,101,102,103,104,105,106,121,122,123,124,129,130,132,133,134,138,139,140,
142,144,171,182,183,184,185,188,189,190,192,193,194,195,196,197,198,199,200,
202,203,204,233,238,242,243,244,245,247,252,253,254,285,286,287,290,291,292,
293,294,296,297,298,299,300,301,302,303,304,307,308,310,311,313,316,351,352,
354,355,356,357,359,360,361,362,364,365,366,367,368,369,396,397,398,399,401,
402,403,404,405,406,407,408,409,410,416,417,418,450,451,452,454,456,457,460,
461,462,463,464,465,466,470,487,489,491,492,495,496,497,498,499,525,526,545,
547,548,549,550,551,552,553,554,558,559,604,605,606,607,608,609,610,651],[1,2,
5,7,8,13,18,19,20,22,24,26,28,32,47,48,53,59,63,65,66,67,70,71,75,78,87,89,
115,118,119,128,136,139,155,159,164,165,167,168,176,211,214,216,220,225,227,
229,230,263,270,272,273,275,279,324,342,346,376,393,428,431,432,436,439,443,
505,506,507,519,522,652],[1,2,5,7,8,13,18,19,20,22,24,26,28,32,47,48,49,53,59,
63,65,66,67,70,71,75,78,87,89,115,119,127,128,136,139,155,159,164,165,167,168,
176,211,212,216,225,229,230,263,270,272,273,275,279,324,332,340,346,376,393,
430,431,434,436,437,439,441,443,507,521,522,613,653],[1,2,3,4,5,6,7,8,9,10,12,
13,14,15,16,17,18,21,22,23,24,25,26,27,28,29,30,31,32,33,37,39,42,45,46,47,50,
51,52,53,54,55,56,57,58,59,60,67,68,69,70,71,72,73,74,76,77,78,80,81,82,83,84,
85,86,87,88,90,91,94,98,99,101,103,109,112,114,117,118,121,122,123,124,129,
130,132,133,134,138,139,140,156,158,161,168,169,170,171,173,175,178,179,190,
192,195,197,198,199,200,202,203,205,206,207,213,214,215,217,218,219,220,221,
222,223,227,228,233,238,281,296,297,300,301,302,303,304,308,310,311,313,315,
326,327,328,329,331,333,334,341,342,343,344,345,377,378,402,403,404,405,408,
409,410,440,448,471,472,473,474,475,476,489,529,530,563,614,615,616,654],[1,2,
4,5,7,12,13,18,34,35,36,37,38,46,58,93,95,99,101,104,106,142,143,144,145,146,
147,148,149,150,151,184,186,199,244,245,246,249,250,251,254,316,317,318,319,
320,321,322,357,358,360,370,371,418,421,425,426,479,480,481,499,531,534,577,
590,621,655],[1,2,4,5,6,12,13,18,34,35,36,37,38,45,56,93,95,99,101,104,106,
142,143,144,145,146,147,148,149,150,151,182,183,200,244,245,246,249,250,251,
254,316,317,318,319,320,321,322,355,356,359,372,418,421,425,426,479,480,481,
498,531,534,577,589,621,656],[1,2,4,5,6,12,13,18,34,35,36,37,38,56,57,93,95,
99,101,104,106,142,143,144,145,146,147,148,149,150,151,182,183,197,244,245,
246,249,250,251,254,316,317,318,319,320,321,322,354,355,356,372,418,421,425,
426,479,480,481,497,531,534,577,589,621,657],[1,2,4,5,7,12,13,18,34,35,36,37,
38,46,58,93,95,99,101,104,106,142,143,144,145,146,147,148,149,150,151,184,185,
187,199,244,245,246,249,250,251,254,316,317,318,319,320,321,322,357,360,361,
363,418,421,425,426,479,480,481,499,531,534,577,588,621,658],[1,2,4,5,6,12,13,
18,34,35,36,37,38,45,56,93,95,99,101,104,106,142,143,144,145,146,147,148,149,
150,151,183,200,244,245,246,249,250,251,254,316,317,318,319,320,321,322,356,
359,418,421,425,426,479,480,481,498,531,534,577,587,621,659],[1,2,4,5,7,12,13,
18,34,35,36,37,38,46,47,93,95,99,101,104,106,142,143,144,145,146,147,148,149,
150,151,184,185,187,198,244,245,246,249,250,251,254,316,317,318,319,320,321,
322,360,361,362,363,418,421,425,426,479,480,481,496,531,534,577,588,621,660],[
1,2,3,4,5,9,12,13,14,15,16,17,18,34,35,36,37,38,51,54,55,93,94,95,96,97,98,99,
100,101,102,103,104,105,106,107,108,142,143,144,145,146,147,148,149,150,151,
191,192,193,194,195,196,242,243,244,245,246,247,248,249,250,251,252,253,254,
255,256,257,258,259,260,261,316,317,318,319,320,321,322,353,367,368,369,373,
374,416,417,418,419,420,421,422,423,424,425,426,427,479,480,481,495,500,501,
531,532,533,534,535,536,577,591,593,621,622,623,661],[1,2,4,7,10,11,12,25,39,
41,58,64,109,111,131,141,153,205,241,268,348,385,387,482,514,537,578,594,625,
662],[1,2,3,4,6,7,9,10,11,12,15,29,39,40,41,42,43,45,51,58,64,109,110,111,112,
113,114,132,141,153,154,207,208,239,240,241,264,268,269,348,349,350,384,387,
449,482,483,514,537,538,539,578,579,596,624,625,626,663],[1,2,4,7,10,11,12,26,
39,41,58,64,109,111,135,141,153,206,241,268,348,386,387,482,514,537,578,595,
625,664],[1,2,3,4,5,6,7,9,11,12,13,14,15,16,17,18,29,34,35,37,40,41,43,45,46,
51,54,55,56,58,93,94,96,97,98,99,100,101,102,103,104,105,106,110,111,113,132,
133,142,144,183,184,192,193,194,195,196,199,200,208,242,243,244,245,247,252,
253,254,299,310,316,356,357,359,360,367,368,369,416,417,418,463,464,495,498,
499,524,554,582,583,584,627,628,629,665],[1,2,3,4,5,6,7,9,12,14,15,17,18,22,
29,33,34,35,36,45,51,55,58,74,93,95,96,97,100,105,106,107,120,125,132,142,143,
145,146,147,183,184,186,191,194,196,224,242,244,246,248,249,250,251,252,255,
256,257,295,299,317,353,357,358,359,368,370,371,373,374,420,421,423,455,458,
464,469,479,501,531,532,587,590,591,631,637,638,666],[1,2,3,4,5,6,7,9,12,14,
15,17,18,23,26,33,34,35,36,51,55,56,58,88,93,95,96,97,100,105,106,107,121,125,
135,142,143,145,146,147,182,183,184,186,191,194,196,234,242,244,246,248,249,
250,251,252,255,256,257,285,295,317,353,355,356,357,358,368,370,371,372,373,
374,420,421,423,455,459,466,468,469,479,501,528,531,532,589,590,591,634,636,
637,667],[1,2,4,5,7,12,18,22,24,26,34,35,36,46,58,70,93,95,106,120,130,135,
142,143,145,146,147,184,185,186,187,232,244,246,249,250,251,287,288,317,357,
358,360,361,363,370,371,421,452,453,458,468,479,531,588,590,631,633,636,668],[
1,2,3,4,5,6,7,9,12,14,15,17,18,23,24,29,34,35,36,45,46,51,55,56,58,68,93,95,
96,97,100,105,106,107,121,129,130,132,133,142,143,145,146,147,182,183,184,185,
186,187,191,194,196,233,242,244,246,248,249,250,251,252,255,256,257,285,286,
287,288,298,299,317,353,355,356,357,358,359,360,361,363,368,370,371,372,373,
374,406,420,421,423,450,451,452,453,459,462,463,464,466,479,501,525,531,532,
587,588,589,590,591,632,633,634,638,639,669],[1,2,3,4,5,6,7,9,12,14,15,17,18,
25,26,29,34,35,36,45,51,55,58,82,93,95,96,97,100,105,106,107,131,132,135,142,
143,145,146,147,183,184,186,191,194,196,237,242,244,246,248,249,250,251,252,
255,256,257,289,299,317,353,357,358,359,368,370,371,373,374,420,421,423,464,
467,468,479,501,531,532,587,590,591,635,636,638,670],[1,2,3,4,5,7,9,12,14,15,
17,18,24,25,33,34,35,36,46,51,55,58,86,93,95,96,97,100,105,106,107,125,130,
131,142,143,145,146,147,184,185,186,187,191,194,196,235,242,244,246,248,249,
250,251,252,255,256,257,287,288,289,295,317,353,357,358,360,361,363,368,370,
371,373,374,400,420,421,423,452,453,455,467,469,479,501,527,531,532,588,590,
591,633,635,637,671],[1,2,4,5,6,7,12,18,22,23,25,34,35,36,56,58,69,93,95,106,
120,121,131,142,143,145,146,147,182,183,184,186,236,244,246,249,250,251,285,
289,317,355,356,357,358,370,371,372,421,458,459,466,467,479,531,589,590,631,
634,635,672],[1,2,3,4,5,6,7,8,9,12,13,14,15,16,17,18,21,29,30,32,33,34,35,36,
37,38,46,47,48,49,50,51,52,53,54,55,56,57,59,60,77,93,94,95,96,97,98,99,100,
101,102,103,104,105,106,107,108,122,123,124,126,127,128,133,134,137,138,139,
140,142,143,144,145,146,147,148,149,150,151,182,185,188,189,190,191,192,193,
194,195,196,197,198,201,202,203,204,231,238,242,243,244,245,246,247,248,249,
250,251,252,253,254,255,256,257,258,259,260,261,292,293,294,296,297,298,304,
306,307,308,309,312,313,316,317,318,319,320,351,352,353,354,355,361,362,364,
365,366,367,368,369,373,374,401,410,414,416,417,418,419,420,421,423,424,425,
426,427,454,456,457,460,461,462,465,470,480,491,492,493,494,495,496,497,500,
501,526,533,534,535,545,546,547,548,549,555,556,557,559,592,593,605,611,640,
641,642,673],[1,2,4,5,6,10,12,18,34,35,36,39,45,64,93,95,106,114,142,143,145,
146,147,153,183,244,246,249,250,251,264,317,359,421,479,531,587,603,646,674],[
1,2,3,4,5,9,10,12,14,15,17,18,34,35,36,39,42,51,55,64,93,95,96,97,100,105,106,
107,112,142,143,145,146,147,153,154,191,194,196,242,244,246,248,249,250,251,
252,255,256,257,269,317,353,368,373,374,420,421,423,479,501,531,532,591,603,
646,647,675],[1,2,4,5,7,10,12,18,34,35,36,39,58,64,93,95,106,109,142,143,145,
146,147,153,184,186,244,246,249,250,251,268,317,357,358,370,371,421,479,531,
590,603,646,676],[1,2,4,5,8,11,12,13,18,34,35,36,37,38,41,48,49,53,59,93,95,
99,101,104,106,142,143,144,145,146,147,148,149,150,151,189,201,202,244,245,
246,249,250,251,254,266,267,316,317,318,319,320,351,365,418,421,425,426,480,
491,493,494,524,534,583,592,677],[1,2,4,5,7,10,12,13,19,22,24,26,37,39,46,47,
58,63,70,99,109,115,117,118,119,120,130,135,198,206,211,214,215,216,232,301,
305,377,378,411,472,506,563,678],[1,2,3,5,6,7,8,9,11,13,14,16,17,18,19,21,29,
30,32,33,36,40,41,43,47,48,49,50,52,53,54,55,57,59,60,61,77,95,107,110,111,
113,115,122,123,124,126,127,128,134,137,138,139,140,186,191,201,208,209,231,
238,265,295,306,309,312,379,381,382,414,430,477,509,574,648,679],[1,2,5,7,8,
11,13,18,20,22,24,26,28,32,36,41,47,48,49,53,59,65,66,67,70,71,75,78,87,89,95,
119,127,128,136,139,155,159,164,165,167,168,176,187,201,212,216,225,226,229,
230,265,266,267,270,272,273,275,279,309,314,324,337,340,346,393,395,415,433,
436,439,443,486,512,513,517,522,544,585,586,680],[1,2,4,5,7,12,13,18,22,34,35,
36,37,38,58,93,95,99,101,104,106,117,119,120,142,143,144,145,146,147,148,149,
150,151,184,186,244,245,246,249,250,251,254,305,316,317,318,319,320,321,322,
357,358,370,371,418,421,425,426,458,479,480,481,531,534,560,577,590,621,631,
681],[1,2,4,5,6,7,12,13,18,23,34,35,36,37,38,45,46,47,56,93,95,99,101,104,106,
129,142,143,144,145,146,147,148,149,150,151,182,183,184,185,187,198,200,244,
245,246,249,250,251,254,285,286,303,316,317,318,319,320,321,322,355,356,359,
360,361,362,363,372,418,421,425,426,450,451,479,480,481,496,498,531,534,550,
577,587,588,589,621,632,656,659,660,682],[1,2,4,5,7,12,13,18,24,34,35,36,37,
38,46,47,58,93,95,99,101,104,106,130,142,143,144,145,146,147,148,149,150,151,
184,185,186,187,198,199,244,245,246,249,250,251,254,287,288,302,316,317,318,
319,320,321,322,357,358,360,361,362,363,370,371,418,421,425,426,452,453,479,
480,481,496,499,531,534,551,577,588,590,621,633,655,658,660,683],[1,2,4,5,6,7,
12,13,18,23,34,35,36,37,38,45,46,56,57,58,93,95,99,101,104,106,121,129,142,
143,144,145,146,147,148,149,150,151,182,183,184,185,187,197,199,200,244,245,
246,249,250,251,254,285,286,311,316,317,318,319,320,321,322,354,355,356,357,
359,360,361,363,372,418,421,425,426,450,451,466,479,480,481,497,498,499,531,
534,558,577,587,588,589,621,632,657,658,659,684],[1,2,3,4,5,6,7,9,12,13,14,15,
16,17,18,29,34,35,36,37,38,45,46,51,54,55,56,58,93,94,95,96,97,98,99,100,101,
102,103,104,105,106,107,108,132,133,142,143,144,145,146,147,148,149,150,151,
182,183,184,185,187,191,192,193,194,195,196,199,200,242,243,244,245,246,247,
248,249,250,251,252,253,254,255,256,257,258,259,260,261,298,299,310,316,317,
318,319,320,321,322,353,355,356,357,359,360,361,363,367,368,369,372,373,374,
416,417,418,419,420,421,422,423,424,425,426,427,462,463,464,479,480,481,495,
498,499,500,501,531,532,533,534,535,536,554,577,588,589,591,593,621,622,623,
639,656,658,661,685],[1,2,3,4,5,6,7,9,12,13,14,15,16,17,18,29,34,35,36,37,38,
45,46,51,54,55,56,58,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,
132,133,142,143,144,145,146,147,148,149,150,151,183,184,186,191,192,193,194,
195,196,199,200,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,
257,258,259,260,261,299,310,316,317,318,319,320,321,322,353,356,357,358,359,
360,367,368,369,370,371,373,374,416,417,418,419,420,421,422,423,424,425,426,
427,463,464,479,480,481,495,498,499,500,501,531,532,533,534,535,536,554,577,
587,590,591,593,621,622,623,638,655,659,661,686],[1,2,3,4,5,6,7,9,12,13,14,15,
16,17,18,29,34,35,36,37,38,46,47,51,54,55,56,57,93,94,95,96,97,98,99,100,101,
102,103,104,105,106,107,108,133,134,142,143,144,145,146,147,148,149,150,151,
182,183,184,185,187,191,192,193,194,195,196,197,198,242,243,244,245,246,247,
248,249,250,251,252,253,254,255,256,257,258,259,260,261,298,299,304,316,317,
318,319,320,321,322,353,354,355,356,360,361,362,363,367,368,369,372,373,374,
416,417,418,419,420,421,422,423,424,425,426,427,462,463,465,479,480,481,495,
496,497,500,501,531,532,533,534,535,536,549,577,588,589,591,593,621,622,623,
639,657,660,661,687],[1,2,4,5,6,7,12,13,18,23,34,35,36,37,38,45,46,56,57,58,
93,95,99,101,104,106,121,129,142,143,144,145,146,147,148,149,150,151,182,183,
184,186,197,199,200,244,245,246,249,250,251,254,285,311,316,317,318,319,320,
321,322,354,355,356,357,358,359,360,370,371,372,418,421,425,426,450,459,466,
479,480,481,497,498,499,531,534,558,577,589,590,621,634,655,656,657,688],[1,2,
3,4,6,7,9,10,11,12,15,25,26,29,39,40,41,42,43,45,51,58,64,82,109,110,111,112,
113,114,131,132,135,141,153,154,205,206,207,208,237,239,240,241,264,268,269,
315,348,349,350,384,385,386,387,449,478,482,483,514,537,538,539,578,579,594,
595,596,624,625,626,643,662,663,664,689],[1,2,4,5,7,8,12,18,19,22,26,28,32,34,
49,58,66,71,78,106,115,117,127,135,146,176,221,226,250,335,337,370,429,468,
690],[1,2,3,4,5,6,7,9,12,14,15,17,18,22,23,24,25,26,29,33,34,35,36,45,46,51,
55,56,58,68,69,70,74,82,86,88,93,95,96,97,100,105,106,107,120,121,125,129,130,
131,132,133,135,142,143,145,146,147,169,182,183,184,185,186,187,191,194,196,
224,232,233,234,235,236,237,242,244,246,248,249,250,251,252,255,256,257,285,
286,287,288,289,295,298,299,317,347,353,355,356,357,358,359,360,361,363,368,
370,371,372,373,374,400,406,420,421,423,450,451,452,453,455,458,459,462,463,
464,466,467,468,469,479,501,525,527,528,531,532,587,588,589,590,591,631,632,
633,634,635,636,637,638,639,666,667,668,669,670,671,672,691],[1,2,5,7,8,11,13,
18,24,26,32,35,41,44,49,53,87,93,104,111,118,127,184,185,189,220,262,265,266,
287,290,293,381,398,511,561,567,692],[1,2,3,4,5,6,7,9,10,12,14,15,17,18,29,34,
35,36,39,42,45,51,55,58,64,93,95,96,97,100,105,106,107,109,112,114,132,142,
143,145,146,147,153,154,183,184,186,191,194,196,207,242,244,246,248,249,250,
251,252,255,256,257,264,268,269,299,317,353,357,358,359,368,370,371,373,374,
384,420,421,423,464,479,501,531,532,587,590,591,603,638,646,647,674,675,676,
693],[1,2,4,5,7,10,12,18,26,34,35,36,39,58,64,93,95,106,109,135,142,143,145,
146,147,153,184,186,206,244,246,249,250,251,268,317,357,358,370,371,386,421,
468,479,531,590,603,636,646,676,694],[1,2,4,5,7,10,12,18,25,34,35,36,39,58,64,
93,95,106,109,131,142,143,145,146,147,153,184,186,205,244,246,249,250,251,268,
289,317,357,358,370,371,385,421,467,479,531,590,603,635,646,676,695],[1,2,3,4,
5,8,9,11,12,13,14,15,16,17,18,21,34,35,36,37,38,40,41,43,48,49,50,51,52,53,54,
55,59,60,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,113,122,123,
137,142,143,144,145,146,147,148,149,150,151,188,189,190,191,192,193,194,195,
196,201,202,203,204,242,243,244,245,246,247,248,249,250,251,252,253,254,255,
256,257,258,259,260,261,266,267,307,308,312,316,317,318,319,320,351,352,353,
364,365,366,367,368,369,373,374,380,416,417,418,419,420,421,423,424,425,426,
427,456,457,480,491,492,493,494,495,500,501,524,533,534,535,545,557,582,583,
584,592,593,629,642,677,696],[1,2,3,4,5,6,7,9,10,12,13,14,15,16,19,22,23,24,
25,26,29,33,37,39,42,45,46,47,50,51,56,58,60,61,62,63,68,69,70,74,82,86,88,99,
103,109,112,114,115,117,118,119,120,121,125,129,130,131,132,133,135,140,152,
169,198,200,203,205,206,207,209,210,211,213,214,215,216,218,223,224,228,232,
233,234,235,236,237,296,301,303,305,315,323,334,341,347,377,378,403,411,412,
413,471,472,474,475,488,506,529,563,615,678,697],[1,2,4,5,6,7,12,13,18,22,23,
25,34,35,36,37,38,45,56,58,69,93,95,99,101,104,106,117,119,120,121,131,142,
143,144,145,146,147,148,149,150,151,182,183,184,186,200,213,236,244,245,246,
249,250,251,254,285,289,305,316,317,318,319,320,321,322,355,356,357,358,359,
370,371,372,413,418,421,425,426,458,459,466,467,479,480,481,498,531,534,560,
577,589,590,621,631,634,635,656,672,681,698],[1,2,4,5,7,12,13,18,22,24,26,34,
35,36,37,38,46,47,58,70,93,95,99,101,104,106,117,119,120,130,135,142,143,144,
145,146,147,148,149,150,151,184,185,186,187,198,215,216,232,244,245,246,249,
250,251,254,287,288,305,316,317,318,319,320,321,322,357,358,360,361,362,363,
370,371,411,418,421,425,426,452,453,458,468,479,480,481,496,531,534,560,577,
588,590,621,631,633,636,660,668,681,699],[1,2,3,4,5,6,7,9,12,13,14,15,17,18,
22,29,33,34,35,36,37,38,45,51,55,56,58,74,93,95,96,97,99,100,101,104,105,106,
107,117,119,120,125,132,142,143,144,145,146,147,148,149,150,151,183,184,186,
191,194,196,200,223,224,242,244,245,246,248,249,250,251,252,254,255,256,257,
295,299,305,316,317,318,319,320,321,322,353,356,357,358,359,368,370,371,373,
374,412,418,420,421,423,425,426,455,458,464,469,479,480,481,498,501,531,532,
534,560,577,587,590,591,621,631,637,638,659,666,681,700],[1,2,3,4,5,6,7,9,12,
13,14,15,16,17,18,23,24,29,34,35,36,37,38,45,46,47,51,54,55,56,57,58,68,93,94,
95,96,97,98,99,100,101,102,103,104,105,106,107,108,121,129,130,132,133,134,
142,143,144,145,146,147,148,149,150,151,182,183,184,185,186,187,191,192,193,
194,195,196,197,198,199,200,233,242,243,244,245,246,247,248,249,250,251,252,
253,254,255,256,257,258,259,260,261,285,286,287,288,298,299,302,303,304,310,
311,316,317,318,319,320,321,322,353,354,355,356,357,358,359,360,361,362,363,
367,368,369,370,371,372,373,374,406,409,416,417,418,419,420,421,422,423,424,
425,426,427,450,451,452,453,459,462,463,464,465,466,479,480,481,495,496,497,
498,499,500,501,525,531,532,533,534,535,536,549,550,551,554,558,577,587,588,
589,590,591,593,604,621,622,623,632,633,634,638,639,655,656,657,658,659,660,
661,669,682,683,684,685,686,687,688,701],[1,2,3,4,5,6,7,8,9,12,14,15,17,18,19,
21,22,23,26,27,28,29,30,31,32,33,34,49,51,55,56,58,62,66,71,73,74,76,77,78,79,
84,88,91,92,96,105,106,115,117,121,125,126,127,135,137,146,156,157,166,172,
173,176,177,194,210,217,221,223,226,231,234,250,257,283,326,330,335,337,338,
339,370,372,373,429,445,447,459,468,469,503,528,690,702],[1,2,3,5,6,7,8,9,11,
13,14,16,17,18,21,23,24,26,27,29,30,32,33,35,40,41,43,44,49,52,53,54,55,60,68,
77,81,83,85,87,88,93,97,100,102,104,110,111,113,116,118,123,126,127,137,171,
182,183,184,185,188,189,193,196,204,208,219,220,228,231,262,265,266,285,286,
287,290,291,292,293,294,298,299,307,344,375,379,380,381,382,396,397,398,399,
401,406,407,477,487,511,561,567,569,575,612,619,692,703],[1,2,3,4,5,6,7,9,10,
12,14,15,17,18,25,26,29,34,35,36,39,42,45,51,55,58,64,82,93,95,96,97,100,105,
106,107,109,112,114,131,132,135,142,143,145,146,147,153,154,183,184,186,191,
194,196,205,206,207,237,242,244,246,248,249,250,251,252,255,256,257,264,268,
269,289,299,315,317,353,357,358,359,368,370,371,373,374,384,385,386,420,421,
423,464,467,468,478,479,501,531,532,587,590,591,603,635,636,638,646,647,670,
674,675,676,693,694,695,704],[1,2,5,7,8,11,18,19,20,24,28,32,35,41,48,49,65,
66,67,75,89,93,115,127,128,159,164,184,185,212,226,265,266,267,270,287,314,
340,415,428,429,433,510,511,585,705],[1,2,5,7,8,11,18,19,20,24,28,32,36,41,48,
49,65,66,67,75,89,95,115,127,128,159,164,186,187,212,226,265,266,267,270,288,
314,340,415,429,430,433,509,513,585,706],[1,2,3,4,5,6,7,9,12,13,14,15,17,18,
22,23,24,25,26,29,33,34,35,36,37,38,45,46,47,51,55,56,58,68,69,70,74,82,86,88,
93,95,96,97,99,100,101,104,105,106,107,117,119,120,121,125,129,130,131,132,
133,135,142,143,144,145,146,147,148,149,150,151,169,182,183,184,185,186,187,
191,194,196,198,200,213,215,216,223,224,232,233,234,235,236,237,242,244,245,
246,248,249,250,251,252,254,255,256,257,285,286,287,288,289,295,298,299,303,
305,316,317,318,319,320,321,322,334,347,353,355,356,357,358,359,360,361,362,
363,368,370,371,372,373,374,400,406,411,412,413,418,420,421,423,425,426,450,
451,452,453,455,458,459,462,463,464,466,467,468,469,479,480,481,488,496,498,
501,525,527,528,531,532,534,550,560,577,587,588,589,590,591,621,631,632,633,
634,635,636,637,638,639,656,659,660,666,667,668,669,670,671,672,681,682,691,
698,699,700,707],[1,2,4,5,7,8,11,12,13,18,20,22,28,32,34,35,37,38,41,47,48,53,
58,59,65,71,75,89,93,99,101,104,106,111,117,119,120,128,136,139,144,145,149,
155,159,167,185,189,202,221,225,229,230,245,249,254,267,272,293,305,314,320,
324,325,346,351,362,365,371,383,415,426,436,443,458,460,485,494,510,543,556,
560,573,586,708],[1,2,4,5,7,8,11,12,13,18,32,34,35,36,37,38,41,46,47,48,49,53,
59,93,95,99,101,104,106,127,128,139,142,143,144,145,146,147,148,149,150,151,
184,185,187,189,198,201,202,244,245,246,249,250,251,254,266,267,293,297,309,
316,317,318,319,320,321,322,351,360,361,362,363,365,418,421,425,426,460,479,
480,481,491,493,494,496,510,511,512,513,524,531,534,547,555,556,577,583,588,
592,621,640,660,677,709],[1,2,4,5,7,10,12,13,18,22,34,35,36,37,38,39,46,58,64,
93,95,99,101,104,106,109,117,119,120,142,143,144,145,146,147,148,149,150,151,
153,184,186,199,244,245,246,249,250,251,254,268,305,316,317,318,319,320,321,
322,357,358,360,370,371,377,418,421,425,426,458,479,480,481,499,508,531,534,
560,577,590,603,621,631,646,655,676,681,710],[1,2,3,5,7,8,9,11,14,16,18,19,20,
21,24,25,27,28,31,32,33,35,40,41,43,48,49,52,61,65,66,67,75,76,80,85,86,89,90,
92,93,102,113,115,127,128,137,157,159,162,164,170,181,184,185,188,209,212,226,
265,266,267,270,276,277,287,291,294,314,339,340,379,388,396,415,428,429,433,
504,510,511,518,564,585,705,711],[1,2,3,5,7,8,9,11,14,17,18,19,20,21,24,25,27,
28,31,32,33,36,40,41,43,48,49,55,62,65,66,67,75,76,80,85,86,89,90,92,95,107,
113,115,127,128,137,157,159,162,164,170,181,186,187,191,210,212,226,265,266,
267,270,276,277,288,289,295,314,339,340,380,388,400,415,429,430,433,503,509,
513,518,565,585,706,712],[1,2,5,7,8,11,13,18,19,20,22,24,26,28,32,35,41,48,49,
53,63,65,66,67,70,71,75,78,87,89,93,104,111,115,127,128,136,155,159,164,165,
167,168,176,184,185,189,211,212,226,230,265,266,267,270,272,273,275,279,287,
290,293,314,332,337,340,381,383,393,398,415,428,429,433,437,490,505,510,511,
517,573,585,630,705,713],[1,2,4,5,7,8,10,12,13,18,19,20,22,24,26,28,32,37,39,
46,47,48,53,58,59,63,64,65,66,67,70,71,75,78,87,89,99,101,109,115,117,118,119,
120,128,130,135,136,139,153,155,159,164,165,167,168,176,198,199,202,206,211,
214,215,216,220,221,225,227,229,230,232,263,268,270,272,273,275,279,297,301,
302,305,324,325,333,335,342,346,376,377,378,386,393,405,411,428,431,432,436,
439,442,443,472,473,485,505,506,507,508,519,522,540,543,563,572,601,614,652,
678,714],[1,2,3,5,6,7,8,9,11,14,17,18,19,20,23,24,27,28,29,30,31,32,35,41,48,
49,55,62,65,66,67,68,72,73,75,79,83,89,92,93,97,100,110,115,126,127,128,158,
159,163,164,174,177,182,183,184,185,196,210,212,226,265,266,267,270,274,278,
285,286,287,298,299,314,338,340,382,389,406,415,428,429,433,502,503,510,511,
516,568,569,585,705,715],[1,2,5,7,8,11,13,18,19,20,22,24,26,28,32,36,41,47,48,
49,53,59,63,65,66,67,70,71,75,78,87,89,95,111,115,118,119,127,128,136,139,155,
159,164,165,167,168,176,187,201,211,212,214,216,220,225,226,227,229,230,263,
265,266,267,270,272,273,275,279,309,314,324,332,337,340,342,346,376,381,383,
393,395,415,428,430,431,432,433,434,436,437,439,441,443,486,490,505,506,507,
512,513,517,519,521,522,541,544,585,586,598,613,630,650,652,653,680,716],[1,2,
4,5,7,8,11,12,13,18,24,26,32,34,35,36,37,38,41,46,47,48,49,53,58,59,87,93,95,
99,101,104,106,111,127,128,130,139,142,143,144,145,146,147,148,149,150,151,
184,185,186,187,189,198,199,201,202,244,245,246,249,250,251,254,266,267,287,
288,290,293,297,301,302,309,316,317,318,319,320,321,322,351,357,358,360,361,
362,363,365,370,371,398,405,418,421,425,426,452,453,460,479,480,481,491,493,
494,496,499,510,511,512,513,524,531,534,547,551,552,555,556,567,571,577,583,
588,590,592,606,621,628,633,640,655,658,660,677,683,709,717],[1,2,4,5,6,7,8,
11,12,13,18,23,27,32,34,35,36,37,38,41,45,46,47,48,49,53,56,59,83,93,95,99,
101,104,106,110,127,128,129,139,142,143,144,145,146,147,148,149,150,151,182,
183,184,185,187,189,198,200,201,202,244,245,246,249,250,251,254,266,267,285,
286,291,293,297,300,303,309,316,317,318,319,320,321,322,351,355,356,359,360,
361,362,363,365,372,397,404,418,421,425,426,450,451,460,479,480,481,491,493,
494,496,498,510,511,512,513,524,531,534,547,550,553,555,556,568,569,577,583,
587,588,589,592,609,621,627,632,640,656,659,660,677,682,709,718],[1,2,3,4,5,6,
7,9,10,12,13,14,15,16,17,18,22,29,33,34,35,36,37,38,39,42,45,46,51,54,55,56,
58,64,74,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,112,114,
117,119,120,125,132,133,142,143,144,145,146,147,148,149,150,151,153,154,183,
184,186,191,192,193,194,195,196,199,200,207,223,224,242,243,244,245,246,247,
248,249,250,251,252,253,254,255,256,257,258,259,260,261,264,268,269,295,299,
305,310,316,317,318,319,320,321,322,353,356,357,358,359,360,367,368,369,370,
371,373,374,377,384,412,416,417,418,419,420,421,422,423,424,425,426,427,455,
458,463,464,469,475,479,480,481,495,498,499,500,501,508,531,532,533,534,535,
536,554,560,576,577,587,590,591,593,603,621,622,623,631,637,638,646,647,655,
659,661,666,674,675,676,681,686,693,700,710,719],[1,2,4,5,7,10,12,13,18,22,24,
26,34,35,36,37,38,39,46,47,58,64,70,93,95,99,101,104,106,109,117,119,120,130,
135,142,143,144,145,146,147,148,149,150,151,153,184,185,186,187,198,199,206,
215,216,232,244,245,246,249,250,251,254,268,287,288,302,305,316,317,318,319,
320,321,322,357,358,360,361,362,363,370,371,377,386,411,418,421,425,426,452,
453,458,468,472,479,480,481,496,499,508,531,534,551,560,572,577,588,590,603,
621,631,633,636,646,655,658,660,668,676,681,683,694,699,710,720],[1,2,4,5,6,7,
10,12,13,18,22,23,25,34,35,36,37,38,39,45,46,56,57,58,64,69,93,95,99,101,104,
106,109,117,119,120,121,129,131,142,143,144,145,146,147,148,149,150,151,153,
182,183,184,186,197,199,200,205,213,236,244,245,246,249,250,251,254,268,285,
289,305,311,316,317,318,319,320,321,322,354,355,356,357,358,359,360,370,371,
372,377,385,413,418,421,425,426,450,458,459,466,467,471,479,480,481,497,498,
499,508,531,534,558,560,566,577,589,590,603,621,631,634,635,646,655,656,657,
672,676,681,688,695,698,710,721],[1,2,3,4,5,6,7,8,9,11,12,13,14,15,16,17,18,
21,29,30,32,33,34,35,36,37,38,40,41,43,46,47,48,49,50,51,52,53,54,55,56,57,59,
60,77,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,113,122,123,
124,126,127,128,133,134,137,138,139,140,142,143,144,145,146,147,148,149,150,
151,182,183,184,185,187,188,189,190,191,192,193,194,195,196,197,198,201,202,
203,204,231,238,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,
257,258,259,260,261,266,267,292,293,294,296,297,298,299,304,306,307,308,309,
312,313,316,317,318,319,320,321,322,351,352,353,354,355,356,360,361,362,363,
364,365,366,367,368,369,372,373,374,380,401,410,414,416,417,418,419,420,421,
422,423,424,425,426,427,454,456,457,460,461,462,463,465,470,479,480,481,491,
492,493,494,495,496,497,500,501,510,511,512,513,524,526,531,532,533,534,535,
536,545,546,547,548,549,555,556,557,559,575,577,582,583,584,588,589,591,592,
593,605,611,621,622,623,629,639,640,641,642,657,660,661,673,677,687,696,709,
722],[1,2,3,5,6,7,8,9,11,13,14,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,
31,32,33,35,40,41,43,48,49,52,53,54,55,60,61,62,63,65,66,67,68,69,70,71,72,73,
74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,97,100,102,104,
110,111,113,115,123,126,127,128,136,137,152,155,156,157,158,159,160,161,162,
163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,
182,183,184,185,188,189,193,196,204,208,209,210,211,212,226,230,231,265,266,
267,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,
290,291,292,293,294,298,299,307,314,323,332,337,338,339,340,379,381,382,383,
388,389,390,391,392,393,394,396,397,398,399,401,406,407,415,428,429,433,437,
447,477,484,487,490,502,503,504,505,510,511,516,517,518,562,564,568,569,573,
580,585,618,630,705,711,713,715,723],[1,2,3,4,5,6,7,8,9,10,12,13,14,15,16,17,
18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,37,39,42,45,46,47,48,50,51,52,
53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,
79,80,81,82,83,84,85,86,87,88,89,90,91,92,94,98,99,101,103,109,112,114,115,
117,118,119,120,121,122,123,124,125,128,129,130,131,132,133,134,135,136,138,
139,140,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,
169,170,171,172,173,174,175,176,177,178,179,180,181,190,192,195,197,198,199,
200,202,203,205,206,207,209,210,211,213,214,215,216,217,218,219,220,221,222,
223,224,225,227,228,229,230,232,233,234,235,236,237,238,263,264,268,269,270,
271,272,273,274,275,276,277,278,279,280,281,282,283,284,296,297,300,301,302,
303,304,305,308,310,311,313,315,323,324,325,326,327,328,329,330,331,333,334,
335,336,341,342,343,344,345,346,347,376,377,378,384,385,386,388,389,390,391,
392,393,394,402,403,404,405,408,409,410,411,412,413,428,431,432,435,436,438,
439,440,442,443,444,445,446,448,471,472,473,474,475,476,478,484,485,488,489,
502,504,505,506,507,508,515,519,520,522,523,529,530,540,542,543,562,563,566,
572,576,581,597,600,601,614,615,616,620,645,652,654,678,697,714,724],[1,2,3,4,
5,6,7,9,10,12,13,14,15,16,17,18,22,23,24,25,26,29,33,34,35,36,37,38,39,42,45,
46,47,51,54,55,56,57,58,64,68,69,70,74,82,86,88,93,94,95,96,97,98,99,100,101,
102,103,104,105,106,107,108,109,112,114,117,119,120,121,125,129,130,131,132,
133,134,135,142,143,144,145,146,147,148,149,150,151,153,154,169,182,183,184,
185,186,187,191,192,193,194,195,196,197,198,199,200,205,206,207,213,215,216,
223,224,232,233,234,235,236,237,242,243,244,245,246,247,248,249,250,251,252,
253,254,255,256,257,258,259,260,261,264,268,269,285,286,287,288,289,295,298,
299,302,303,304,305,310,311,315,316,317,318,319,320,321,322,334,347,353,354,
355,356,357,358,359,360,361,362,363,367,368,369,370,371,372,373,374,377,384,
385,386,400,406,409,411,412,413,416,417,418,419,420,421,422,423,424,425,426,
427,450,451,452,453,455,458,459,462,463,464,465,466,467,468,469,471,472,475,
478,479,480,481,488,495,496,497,498,499,500,501,508,525,527,528,529,531,532,
533,534,535,536,549,550,551,554,558,560,566,572,576,577,587,588,589,590,591,
593,603,604,620,621,622,623,631,632,633,634,635,636,637,638,639,646,647,655,
656,657,658,659,660,661,666,667,668,669,670,671,672,674,675,676,681,682,683,
684,685,686,687,688,691,693,694,695,698,699,700,701,704,707,710,719,720,721,
725],[1,2,3,4,5,6,7,8,9,11,12,13,14,15,16,17,18,21,23,24,26,27,29,30,32,33,34,
35,36,37,38,40,41,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,68,77,81,
83,85,87,88,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,110,111,
113,121,122,123,124,126,127,128,129,130,132,133,134,137,138,139,140,142,143,
144,145,146,147,148,149,150,151,171,182,183,184,185,186,187,188,189,190,191,
192,193,194,195,196,197,198,199,200,201,202,203,204,208,231,233,238,242,243,
244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,266,
267,285,286,287,288,290,291,292,293,294,296,297,298,299,300,301,302,303,304,
306,307,308,309,310,311,312,313,316,317,318,319,320,321,322,351,352,353,354,
355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,
374,380,396,397,398,399,401,402,403,404,405,406,407,408,409,410,414,416,417,
418,419,420,421,422,423,424,425,426,427,450,451,452,453,454,456,457,459,460,
461,462,463,464,465,466,470,479,480,481,487,489,491,492,493,494,495,496,497,
498,499,500,501,510,511,512,513,524,525,526,531,532,533,534,535,536,545,546,
547,548,549,550,551,552,553,554,555,556,557,558,559,567,568,569,571,575,577,
582,583,584,587,588,589,590,591,592,593,604,605,606,607,608,609,610,611,619,
621,622,623,627,628,629,632,633,634,638,639,640,641,642,651,655,656,657,658,
659,660,661,665,669,673,677,682,683,684,685,686,687,688,696,701,709,717,718,
722,726],[1,2,5,7,8,10,11,13,18,19,24,26,32,36,39,41,47,48,49,53,59,87,95,109,
111,115,118,127,128,139,141,186,187,201,206,220,241,265,267,288,309,348,378,
381,383,387,428,430,473,482,509,512,537,570,571,595,648,650,727],[1,2,3,5,6,7,
8,9,10,11,13,14,16,17,18,19,21,24,25,26,29,30,31,32,33,36,39,40,41,42,43,47,
48,49,50,52,53,54,55,57,59,60,61,72,77,82,86,87,90,91,95,107,109,110,111,112,
113,114,115,118,122,123,124,126,127,128,134,137,138,139,140,141,175,186,187,
191,201,205,206,207,208,209,218,220,222,231,238,239,240,241,265,267,288,289,
295,306,309,312,315,331,348,349,350,378,379,381,382,383,387,400,414,428,430,
449,473,474,476,477,482,483,504,509,512,530,537,538,539,565,570,571,574,594,
595,596,617,643,648,650,679,727,728],[1,2,5,7,8,11,13,18,19,20,22,24,26,28,32,
36,41,44,47,48,49,53,59,65,66,67,70,71,75,78,87,89,95,111,115,119,127,128,136,
139,155,159,164,165,167,168,176,186,187,201,212,216,225,226,229,230,262,263,
265,266,267,270,272,273,275,279,288,309,314,324,332,337,340,346,381,383,393,
395,415,429,430,431,433,436,437,439,443,486,490,509,512,513,517,522,544,561,
571,585,586,613,630,648,649,680,706,729],[1,2,4,5,7,8,11,12,13,18,19,20,22,24,
26,28,32,34,35,36,37,38,41,46,47,48,49,53,58,59,65,66,67,70,71,75,78,87,89,93,
95,99,101,104,106,111,115,117,119,120,127,128,130,135,136,139,142,143,144,145,
146,147,148,149,150,151,155,159,164,165,167,168,176,184,185,186,187,189,198,
201,202,212,215,216,221,225,226,229,230,232,244,245,246,249,250,251,254,265,
266,267,270,272,273,275,279,287,288,293,297,305,309,314,316,317,318,319,320,
321,322,324,325,333,335,337,340,346,351,357,358,360,361,362,363,365,370,371,
383,393,395,411,415,418,421,425,426,428,429,430,433,436,439,442,443,452,453,
458,460,468,479,480,481,485,486,491,493,494,496,509,510,511,512,513,517,522,
524,531,534,540,543,544,547,555,556,560,567,570,573,577,583,585,586,588,590,
592,601,621,631,633,636,640,649,650,660,668,677,680,681,690,699,705,706,708,
709,730],[1,2,3,4,5,6,7,8,9,11,12,13,14,15,17,18,19,20,21,22,23,24,25,26,27,
28,29,30,31,32,33,34,35,36,37,38,40,41,43,45,46,47,48,49,51,53,55,56,58,59,62,
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,
91,92,93,95,96,97,99,100,101,104,105,106,107,110,111,113,115,117,119,120,121,
125,126,127,128,129,130,131,132,133,135,136,137,139,142,143,144,145,146,147,
148,149,150,151,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,
170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,189,
191,194,196,198,200,201,202,208,210,212,213,215,216,217,221,223,224,225,226,
229,230,231,232,233,234,235,236,237,242,244,245,246,248,249,250,251,252,254,
255,256,257,265,266,267,270,271,272,273,274,275,276,277,278,279,280,281,282,
283,284,285,286,287,288,289,291,293,295,297,298,299,300,303,305,309,314,316,
317,318,319,320,321,322,324,325,326,327,328,330,333,334,335,336,337,338,339,
340,346,347,351,353,355,356,357,358,359,360,361,362,363,365,368,370,371,372,
373,374,380,382,383,388,389,390,391,392,393,394,395,397,400,404,406,411,412,
413,415,418,420,421,423,425,426,428,429,430,433,435,436,438,439,440,442,443,
444,445,446,447,450,451,452,453,455,458,459,460,462,463,464,466,467,468,469,
479,480,481,484,485,486,488,491,493,494,496,498,501,502,503,509,510,511,512,
513,516,517,518,522,523,524,525,527,528,531,532,534,540,542,543,544,547,550,
553,555,556,560,564,565,567,568,569,570,573,574,575,577,580,583,585,586,587,
588,589,590,591,592,597,600,601,609,617,618,619,621,627,631,632,633,634,635,
636,637,638,639,640,645,649,650,656,659,660,666,667,668,669,670,671,672,677,
680,681,682,690,691,698,699,700,702,705,706,707,708,709,712,715,718,730,731],[
1,2,4,5,7,8,10,11,12,13,18,19,20,22,24,26,28,32,34,35,36,37,38,39,41,44,46,47,
48,49,53,58,59,63,64,65,66,67,70,71,75,78,87,89,93,95,99,101,104,106,109,111,
115,117,118,119,120,127,128,130,135,136,139,141,142,143,144,145,146,147,148,
149,150,151,153,155,159,164,165,167,168,176,184,185,186,187,189,198,199,201,
202,206,211,212,214,215,216,220,221,225,226,227,229,230,232,241,244,245,246,
249,250,251,254,262,263,265,266,267,268,270,272,273,275,279,287,288,290,293,
297,301,302,305,309,314,316,317,318,319,320,321,322,324,325,332,333,335,337,
340,342,346,348,351,357,358,360,361,362,363,365,370,371,376,377,378,381,383,
386,387,393,395,398,405,411,415,418,421,425,426,428,429,430,431,432,433,434,
436,437,439,441,442,443,452,453,458,460,468,472,473,479,480,481,482,485,486,
490,491,493,494,496,499,505,506,507,508,509,510,511,512,513,514,517,519,521,
522,524,531,534,537,540,541,543,544,547,551,552,555,556,560,561,563,567,570,
571,572,573,577,578,583,585,586,588,590,592,595,598,601,603,606,613,614,621,
625,628,630,631,633,636,640,646,648,649,650,652,653,655,658,660,664,668,676,
677,678,680,681,683,690,692,694,699,705,706,708,709,710,713,714,716,717,720,
727,729,730,732],[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]],
0,[[1],[1,1],[1,1],[1,1],[1,1],[1,1,1],[1,1,1],[1,3,1],[1,1,2,1],[1,1],[1,1],[
1,1,1,1],[1,1,1,1],[1,1,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,1],[1,
7,7,1],[1,3,4,1,6,1],[1,1,3,1],[1,1,2,1,1],[1,1,3,1],[1,1,1,1],[1,1,1,1],[1,1,
1,1],[1,3,2,1,1],[1,1,2,1,1,1,1],[1,3,2,1,1,1,1],[1,1,4,1,2,1],[1,5,1,2,1],[1,
1,4,1,2,1],[1,1,3,1],[1,4,1],[1,4,1],[1,2,2,1],[1,1,1],[1,1,1,1],[1,1,1,1],[1,
5,1,1],[1,5,1,1],[1,5,1,1],[1,1],[1,1,1,3,1,1],[1,1,1,3,1,1],[1,1,1,3,1,1],[1,
3,4,1,1],[1,3,4,1,1],[1,1,6,1,3,1,2,1],[1,1,6,1,3,1,2,1],[1,3,4,1,3,1,1,1,1],[
1,7,1,3,1,2,1],[1,1,6,1,3,1,1,1,1],[1,3,4,1,3,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,
1,1],[1,1,1,1,1,1],[1,3,1,1,3,1],[1,1,2,1,1,1,2,1],[1,7,1,1],[1,7,1,1],[1,1,1,
1],[1,1,1,1],[1,15,35,15,1],[1,3,6,1,3,1],[1,3,6,1,4,3,1],[1,1,2,3,3,1,3,1,3,
1],[1,1,2,3,1,1,1,1],[1,1,5,1,1,1,1],[1,7,4,3,1,3,3,1],[1,1,6,1,3,3,1,3,3,1],[
1,3,4,2,2,1,2,1,1,2,2,1,1],[1,1,6,1,3,3,1,3,3,1],[1,11,2,13,2,1,4,1],[1,3,8,2,
1,12,2,1,2,2,1],[1,5,6,1,1,2,11,2,1,2,1,1,1],[1,3,2,1,2,1,1],[1,3,2,1,2,1,1],[
1,3,2,1,1,1,1,1],[1,1,2,1,1,1,1,1,1,1],[1,1,2,1,1,1,1,1,1,1],[1,5,2,1,2,1,1,1,
1],[1,1,4,3,2,1,1,1,1],[1,1,4,3,2,1,1,1,1],[1,1,4,3,2,1,1,1,1],[1,5,3,2,1,1,1,
1],[1,1,4,2,1,2,1,1,1,1],[1,7,4,7,1,2,1],[1,5,4,1,2,2,1,1,1,1],[1,1,8,1,4,1,1,
1,1],[1,5,4,1,2,2,1,1,1,1],[1,9,4,12,1,1],[1,9,2,2,6,6,1,1],[1,9,4,12,1,1],[1,
9,1,3,3,9,1,1],[1,9,4,12,1,1],[1,9,2,2,6,6,1,1],[1,1,2,2,2,2,1,1],[1,1,4,4,1,
1],[1,3,2,2,3,1,1,1],[1,3,4,3,1,1,1],[1,3,2,2,3,1,1,1],[1,3,4,3,1,1,1],[1,3,1,
3,3,1,1,1],[1,3,1,3,3,1,1,1],[1,3,4,3,1,1,1],[1,9,1,3,1,1],[1,1,5,1,1,1],[1,5,
5,1,1,1],[1,5,5,1,1,1],[1,1,10,5,1,1,2,1],[1,5,6,5,1,1,1,1,1],[1,1,1,1,1,1],[
1,7,1,1],[1,1,1,1],[1,1,4,3,4,1,1],[1,1,4,3,4,1,1],[1,1,4,3,4,1,1],[1,1,1,3,1,
1,3,1],[1,1,1,2,1,1,1,2,1,1],[1,3,12,1,1,18,3,3,1,3,3,3,1,1],[1,7,8,1,3,16,1,
2,1,1,2,3,2,1,1,2,1,1],[1,7,6,1,1,3,3,1,2,2,3,1,1,1,1],[1,1,12,1,1,6,1,4,3,2,
1,1],[1,3,6,4,3,1,3,4,3,1,1],[1,9,4,3,4,4,3,1,1],[1,9,4,3,4,4,3,1,1],[1,1,1,4,
3,1,3,1,1,1,1],[1,1,1,7,1,3,2,1,1],[1,1,1,1,1,1,1,1],[1,1,6,1,3,1,3,1,2,3,1,1,
1,1],[1,1,6,1,1,3,3,1,2,3,1,1,1,1],[1,1,6,1,1,3,3,1,1,1,3,1,1,1,1],[1,1,1,1,1,
3,1,1],[1,7,4,7,4,1,1,1],[1,3,4,4,1,6,4,1,1,1],[1,3,2,1,1,1,1,3,2,1,1,1,1,1],[
1,9,1,3,4,3,2,3,1,1,1,1],[1,1,8,1,3,4,1,2,2,3,1,1,1,1],[1,1,5,1],[1,1,12,4,9,
1],[1,1,12,4,9,1],[1,4,9,4,3,6,1],[1,1,12,4,1],[1,1,12,4,1],[1,1,12,4,1],[1,1,
3,1,3,1],[1,1,3,1,3,1],[1,1,3,1,3,1],[1,1,3,1,3,1],[1,1,14,7,1,1,1,1,1],[1,1,
1,1,1,1,1,1],[1,15,1,1,5,3,1,1],[1,19,6,33,6,2,9,18,6,9,1],[1,7,12,2,4,3,30,6,
1,1,3,6,6,3,3,6,1,3,2,3,6,1],[1,3,16,6,1,24,4,3,12,12,1,6,1],[1,3,8,4,6,1,4,6,
4,3,12,4,6,1,4,4,6,1],[1,19,6,41,16,3,12,1,3,3,1],[1,7,4,3,1,1,3,3,3,1,3,3,
1],[1,3,4,2,2,1,2,1,1,2,1,1,2,2,1,1,1,1,2,2,1],[1,3,6,1,2,2,3,1,2,1],[1,3,6,1,
4,4,3,1,2,1],[1,11,10,13,2,4,5,4,1,1,1,4,1],[1,11,2,13,2,4,1,4,1,2,1],[1,3,8,
2,1,12,2,2,2,1,2,2,1,1,1,1],[1,11,10,13,2,5,4,1,2,1],[1,7,8,3,1,4,2,5,3,1,2,1,
1,2,1],[1,1,6,3,5,3,1,3,1,1,1,5,3,1,1,1,1,1,1,1,1],[1,3,8,6,1,12,2,4,1,1,3,2,
2,1,1,1,2,2,1],[1,5,6,3,3,2,11,2,3,1,1,1,3,2,1,1,1,1,1,1,1,1,1,1],[1,7,8,4,3,
12,2,1,2,3,2,3,2,1,1,1,2,2,1],[1,3,12,2,2,1,14,2,1,2,1,2,2,3,2,1,1,1,2,2,1],[
1,11,4,2,2,13,2,2,1,2,1,2,2,1,4,1,1,1,2,2,1],[1,5,10,1,3,2,13,2,1,1,1,3,2,3,1,
1,1,1,1,1,1,1,1,1],[1,7,8,3,1,2,5,3,1,1,1,1],[1,3,4,2,6,1,2,1,2,3,2,2,1,1,1,1,
1],[1,7,4,2,4,3,2,1,1,1,1,3,2,2,1,3,1,1,1,1,1,1,1,1],[1,1,10,1,5,5,1,1,1,1,5,
3,3,1,1,1,1,1,1,1,1],[1,3,2,1,1,2,3,1,1,1,1,1],[1,11,8,2,13,12,2,2,1,1,1,2,4,
2,1,1,1,2,2,1],[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],[1,9,4,9,12,1,1,1],[1,9,4,9,12,1,1,1],[1,9,6,4,9,6,2,12,1,6,1,2,
1],[1,15,4,9,6,14,1,6,1,2,1],[1,3,12,2,2,9,3,3,6,7,1,1,3,3,1,1,1,1],[1,9,6,4,
9,6,2,12,1,6,1,2,1],[1,3,12,2,2,9,3,3,6,1,6,1,1,3,3,1,1,1,1],[1,3,12,4,9,3,3,
1,12,1,1,3,3,1,1,1,1],[1,3,12,1,3,9,3,3,4,9,1,1,3,3,1,1,1,1],[1,1,18,2,2,9,2,
2,12,6,6,1,6,6,1,1,1,1],[1,9,10,4,9,4,12,12,1,12,1,1,1,1],[1,1,2,2,1,2,2,1,2,
2,1,1],[1,1,2,2,9,2,2,1,6,6,1,1],[1,1,2,2,3,2,2,1,1,3,1,1],[1,1,2,2,3,2,2,1,1,
3,1,1],[1,3,13,1,3,4,2,1,1,1],[1,7,2,2,3,2,8,2,1,1,3,1,2,1],[1,1,6,2,2,3,2,2,
6,2,1,1,3,1,2,1],[1,3,4,4,3,3,7,1,1,1,1,3,1,1,1,1],[1,1,5,1,5,1,1,1],[1,1,5,1,
5,1,1,1],[1,1,10,1,5,5,1,5,1,2,1,1,1,1],[1,5,6,5,5,5,1,5,1,1,1,1,1,1,1],[1,7,
7,7,1,1,1,1],[1,7,7,7,1,1,1,1],[1,1,7,7,1,1,1,1],[1,15,16,35,15,4,16,1,1],[1,
1,4,6,3,4,1,3,3,4,3,1,1],[1,1,4,9,4,3,1,3,4,3,1,1],[1,1,4,9,4,1,3,3,4,3,1,1],[
1,1,4,9,4,1,3,3,4,3,1,1],[1,1,12,4,3,6,4,8,1,3,3,4,3,1,1],[1,1,12,4,3,6,4,8,1,
3,3,4,3,1,1],[1,1,12,4,3,6,4,4,4,1,3,3,4,3,1,1],[1,13,4,3,6,4,8,1,3,3,4,3,1,
1],[1,7,4,4,3,4,1,3,3,4,1,1,1],[1,1,6,4,1,3,3,4,1,3,3,4,1,1,1],[1,1,6,4,1,3,3,
4,1,3,3,4,1,1,1],[1,1,18,1,3,3,9,1,6,1,9,9,1,3,3,3,1,3,3,1],[1,15,4,35,12,15,
1,4,1,3,1],[1,3,16,6,1,3,4,1,1],[1,3,4,6,1,12,4,3,4,1,1,1],[1,1,2,4,3,3,1,4,8,
3,1,3,4,1,1,1],[1,7,4,12,7,4,1,6,4,1,3,1,1],[1,19,4,6,25,4,8,4,3,12,1,4,3,2,1,
1],[1,9,10,4,3,3,4,21,4,4,4,4,3,6,3,3,1,4,3,1,1,1,1],[1,1,1,9,1,1,3,3,2,3,3,1,
1,1,1],[1,1,6,1,5,7,3,1,2,7,3,9,1,2,1,2,1,3,1,2,1,1,2,1],[1,1,12,1,2,1,6,1,4,
1,3,3,2,2,1,3,1,1,1,1],[1,1,12,1,7,6,1,4,3,1,3,2,2,1,3,1,1,1,1],[1,1,1,2,3,1,
1,1,1,2,3,1,1,1,1,1],[1,1,6,1,3,1,3,1,2,1,3,3,1,1,1,3,1,1,1,1],[1,9,14,1,1,3,
4,31,3,2,3,1,2,6,3,4,3,3,1,3,2,1,3,2,1,1,1,3,1,1,1,1,1,1,1,1],[1,25,1,5,5,25,
1,1],[1,5,1,5,5,1,1,1],[1,5,1,5,5,1,1,1],[1,27,1,12,9,108,4,9,12,27,1,1],[1,
27,4,9,36,81,4,3,6,12,9,18,1,1],[1,9,1,12,9,12,4,9,1,12,1,1],[1,9,4,9,9,12,4,
3,6,1,6,6,1,1],[1,9,1,12,9,12,4,9,1,12,1,1],[1,9,4,9,9,6,6,4,3,6,1,3,3,6,1,
1],[1,9,1,12,9,3,9,4,9,1,3,9,1,1],[1,9,1,12,9,12,4,12,1,1],[1,9,1,12,9,12,4,
12,1,1],[1,9,1,12,9,12,4,12,1,1],[1,3,1,12,12,1,4,9,3,4,1,1],[1,3,4,9,12,1,4,
3,6,3,2,2,1,1],[1,3,4,9,6,6,1,4,3,6,3,1,1,2,1,1],[1,9,1,12,9,3,9,4,1,3,1,1],[
1,9,1,12,9,3,9,4,1,3,1,1],[1,9,1,12,9,3,9,4,1,3,1,1],[1,9,1,3,9,3,1,3,3,1,1,
1],[1,9,1,3,9,3,1,3,3,1,1,1],[1,9,1,3,9,3,1,3,3,1,1,1],[1,9,1,3,9,3,1,3,3,1,1,
1],[1,11,1,1],[1,7,7,8,1,1],[1,1,1,3,1,1,1,1,1,3,1,1],[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],[1,1,1,5,1,1,1,5,1,1,1,1],[1,1,
30,1,15,1,1,10,1,6,5,1,3,1,2,1],[1,27,18,69,30,12,9,36,2,3,3,9,18,6,9,1],[1,
19,12,2,6,33,30,6,6,2,1,1,3,9,6,6,3,18,6,1,6,3,2,9,3,6,3,3,3,3,3,6,1,1,1,3,3,
3,3,1],[1,27,18,61,20,2,15,42,1,6,15,9,1,3,3,1],[1,11,26,13,2,4,13,4,1,1,1,8,
1,2,1],[1,11,8,4,10,13,4,2,6,4,4,5,12,4,6,4,1,1,4,4,6,1,2,4,4,4,1,1,1,2,2,1],[
1,19,14,33,6,2,4,4,13,18,1,1,4,6,9,2,4,4,1,1,1,2,2,1],[1,11,16,10,13,24,2,4,4,
2,2,5,12,4,12,1,1,1,6,2,4,4,4,4,4,1,1,1,2,2,1],[1,11,10,13,2,4,4,4,5,4,1,1,1,
4,4,2,1,1],[1,11,10,13,2,4,8,5,4,1,1,1,4,4,2,1,1],[1,19,14,41,16,4,7,12,1,3,2,
5,1,1,1,1],[1,7,8,8,3,12,2,1,4,1,2,5,5,2,3,2,1,2,1,1,1,4,3,2,2,2,2,2,1,1,1,1,
1,1,1,1],[1,7,16,4,8,3,32,6,1,6,4,1,2,1,5,16,8,8,3,6,1,4,1,2,1,4,8,2,3,6,1,1,
2,2,1,1,2,2,2,2,1,2,1,1,1,1,2,1,2,1,2,1,2,1],[1,11,12,2,2,13,14,2,2,1,1,4,3,1,
2,2,3,4,2,1,1,1,2,1,1,2,2,2,2,2,2,4,1,1,1,1,1,1,1,1],[1,7,20,2,8,3,42,8,1,1,2,
2,5,6,6,13,3,16,1,1,3,2,8,6,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,7,4,2,8,3,2,1,1,2,
2,4,5,2,2,1,3,1,1,1,1,1,3,4,2,2,1,1,1,1,1,1,1,1,1,1,1],[1,9,4,18,9,12,9,1,1,1,
1,1,1],[1,9,4,18,9,12,9,1,1,2,1,1],[1,9,4,27,12,9,1,1,2,1,1],[1,9,4,27,12,9,1,
1,1,2,1],[1,9,4,9,12,9,1,1,1,1],[1,9,4,9,12,9,1,1,1,1],[1,9,4,9,12,9,1,1,1,
1],[1,15,6,4,9,9,9,6,6,2,14,9,1,6,6,1,2,2,1,1,1,1],[1,21,4,9,18,12,16,9,1,12,
1,4,1,2,1],[1,9,12,4,9,18,12,4,12,9,1,12,1,4,1,2,1],[1,9,12,4,9,18,12,4,12,9,
1,12,1,4,1,2,1],[1,1,12,2,2,9,6,2,2,12,4,9,1,6,6,2,6,1,4,6,1,2,1],[1,13,2,2,9,
6,2,14,4,9,1,6,6,2,6,1,4,6,1,2,1],[1,9,10,4,9,9,9,4,12,12,9,1,12,1,1,1,1,1,1,
1],[1,9,10,4,9,9,9,4,12,12,9,1,12,1,1,1,1,1,1,1],[1,1,2,2,9,2,2,9,1,6,6,1,1,
1],[1,1,2,2,9,2,2,9,1,6,6,1,1,1],[1,1,2,2,15,2,2,9,1,8,6,6,1,6,1,2,1],[1,1,2,
2,6,9,2,2,9,1,2,6,6,6,1,6,1,2,1],[1,1,18,2,2,1,9,9,2,2,12,6,6,9,1,6,6,6,6,2,2,
1,1,1,6,6,1,1,1,1],[1,1,5,8,3,5,8,1,4,3,4,1,2,1,1],[1,3,6,13,3,1,3,3,6,4,3,4,
2,1,3,1,3,4,1,3,1,1],[1,15,16,4,9,42,6,10,2,12,14,9,1,8,6,6,18,6,1,1,1,2,2,6,
1,1,2,1,2,1],[1,7,24,2,2,3,48,2,8,6,12,8,6,2,9,1,7,6,6,1,12,6,3,3,1,1,1,2,2,3,
3,2,2,1,1,1,1],[1,21,13,9,10,3,42,9,4,3,2,1,3,1,4,3,6,3,1,1],[1,1,18,2,2,3,3,
9,2,2,12,6,6,9,1,1,1,6,6,3,3,1,1,1,3,3,1,1,1,1],[1,1,2,2,4,3,2,2,3,1,1,1,5,2,
3,1,3,1,1,1,1,1],[1,3,12,13,1,18,3,12,3,1,3,4,2,1,3,3,1,4,1,3,1,1],[1,7,6,2,2,
1,3,3,2,8,6,2,2,3,1,1,1,2,2,3,3,1,2,2,1,3,1,1,1,1],[1,15,35,16,15,1,1],[1,1,
10,1,5,5,1,5,5,5,1,2,5,1,1,1,1,1,1,1],[1,10,30,40,45,45,10,30,1],[1,1,39,13,9,
27,1,3,2,3,4,1],[1,1,12,4,9,9,1,3,3,3,3,1],[1,4,18,7,3,6,6,1,1,2,1],[1,4,18,7,
3,6,6,1,1,2,1],[1,1,12,4,9,1,1,1,1,1],[1,1,12,4,9,1,1,1,1,1],[1,1,14,7,7,7,14,
1,7,1,1,1,1,1,1,1,1,1],[1,19,16,6,33,16,6,2,9,18,12,6,9,8,12,1,1],[1,19,4,6,
33,4,6,2,9,18,12,6,9,1,4,1,3,1],[1,7,12,4,2,4,3,30,4,6,1,1,3,6,6,3,3,6,8,4,1,
3,2,3,6,1,4,1,1,2,1],[1,7,12,4,6,4,3,6,4,8,1,3,3,3,3,6,6,3,3,4,4,4,3,1,3,3,3,
3,3,1,4,3,1,1,1,1],[1,1,18,4,1,9,9,4,8,1,3,3,3,9,9,3,4,4,4,3,3,1,3,3,3,3,1,4,
3,1,1,1,1],[1,1,18,4,1,9,9,4,4,4,3,1,3,3,9,3,9,4,4,4,3,1,3,3,3,3,3,1,4,3,1,1,
1,1],[1,7,24,4,4,3,36,4,16,6,1,6,3,6,3,6,8,4,1,3,3,6,6,1,4,3,2,1,1],[1,13,18,
4,1,3,6,33,4,8,8,6,1,3,3,3,6,3,3,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,19,
16,6,41,16,16,3,12,4,16,1,3,3,4,1,1,1],[1,7,4,16,3,4,1,12,6,9,3,8,4,3,6,1,3,6,
1,4,3,2,1,1],[1,1,6,4,7,9,3,4,1,9,3,3,3,9,3,4,4,4,3,3,3,1,3,3,3,1,4,3,1,1,1,
1],[1,7,4,16,3,4,1,6,9,3,4,3,1,3,1,4,3,1,1],[1,7,4,4,3,4,1,1,3,3,3,4,1,3,3,1,
4,1,1,1],[1,15,16,12,7,16,3,6,9,9,4,1,3,3,4,3,1,1],[1,3,12,16,6,6,1,6,16,3,6,
3,6,6,3,4,1,3,3,4,3,1,1],[1,3,16,16,6,1,24,16,4,3,12,12,4,1,6,4,1,1,1],[1,27,
16,18,53,16,18,9,36,4,16,1,9,9,8,4,3,1,1],[1,1,14,4,3,9,7,4,8,8,3,3,1,3,3,9,9,
4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,15,4,12,7,12,8,3,4,6,9,9,4,4,4,1,6,3,3,
6,1,4,3,1,1,1,1],[1,3,24,4,6,1,36,12,12,4,6,4,3,3,3,6,6,12,12,4,1,3,3,6,6,1,4,
3,1,1,1,1],[1,13,14,4,3,3,6,31,4,8,4,4,8,6,3,1,3,3,3,6,3,3,8,4,4,8,4,1,3,3,3,
3,3,3,1,4,3,1,1,1,1],[1,3,8,4,4,6,1,4,12,8,6,4,3,12,4,6,4,4,4,1,4,4,6,1,4,1,1,
1,1,1],[1,27,4,18,53,12,8,18,9,36,4,1,4,4,1,9,9,2,3,4,3,1,1,1,1],[1,1,18,1,5,
9,9,1,6,1,7,3,1,3,15,9,1,2,3,2,3,3,1,3,3,3,3,3,1,1,3,2,1,1,3,2,1,3,1,1,1,1,1,
1,1,1],[1,5,25,1,5,5,1,5,5,1,1,1],[1,5,5,1,5,5,1,1,5,1,1,1],[1,5,30,25,1,5,5,
5,1,6,25,5,5,1,1,1,1,1],[1,27,4,9,27,27,36,4,3,6,27,3,18,18,1,9,3,1],[1,9,18,
4,9,27,9,18,12,12,12,4,3,6,9,18,1,2,6,6,6,6,12,1,3,6,1,2,1],[1,9,18,1,12,27,9,
18,6,18,12,4,9,9,18,1,2,6,12,18,1,3,6,1,2,1],[1,9,4,9,9,9,12,4,3,6,9,1,6,6,1,
1,1,1],[1,9,1,12,9,9,12,4,9,9,1,12,1,1,1,1],[1,9,1,12,9,9,12,4,9,9,1,12,1,1,1,
1],[1,9,1,12,9,9,12,4,9,9,1,12,1,1,1,1],[1,9,1,12,9,9,12,4,9,9,1,12,1,1,1,1],[
1,9,1,12,27,9,12,4,9,9,1,12,1,3,1,1],[1,9,1,12,27,9,12,4,9,9,1,12,1,3,1,1],[1,
9,1,12,27,9,12,4,9,9,1,12,1,3,1,1],[1,9,4,9,27,9,12,4,3,6,9,1,6,6,1,3,1,1],[1,
9,1,12,27,9,12,4,9,9,1,12,1,3,1,1],[1,9,6,4,9,9,9,24,2,12,4,3,6,6,9,1,6,6,4,4,
6,1,1,6,1,2,1],[1,15,4,9,9,12,21,14,4,3,6,6,9,1,6,8,8,4,1,1,6,1,2,1],[1,3,12,
4,9,9,6,6,21,6,7,1,4,3,6,3,3,9,1,3,3,1,5,5,1,6,2,1,1,3,3,1,1,1,1],[1,9,30,4,9,
27,9,12,36,1,81,12,4,3,6,9,36,1,12,9,18,3,6,2,2,6,1,6,6,3,1,1,1,1],[1,9,30,1,
12,27,9,12,10,108,12,4,9,9,36,1,12,27,3,4,12,1,12,3,1,1,1,1],[1,3,36,4,9,27,6,
6,9,42,6,81,1,4,3,6,18,18,9,1,12,9,18,3,1,3,3,1,6,2,1,3,3,6,3,1,1,1,1],[1,9,1,
12,9,9,12,4,9,12,1,1,1],[1,9,1,12,9,9,12,4,9,12,1,1,1],[1,9,1,12,9,9,12,4,9,
12,1,1,1],[1,9,18,1,12,27,9,18,6,18,12,4,9,18,2,6,12,1,6,1,2,1],[1,9,18,1,12,
27,9,18,6,18,12,4,9,18,2,6,12,1,6,1,1,1,1],[1,1,11,11,1,1,1,1],[1,15,35,8,15,
8,1,1,1],[1,1,10,15,6,10,5,6,10,6,5,1],[1,1,10,15,6,10,5,6,10,6,5,1],[1,15,16,
10,5,30,6,10,10,10,5,6,6,6,5,10,6,5,1,1],[1,15,16,10,5,30,6,10,10,10,5,6,6,6,
5,10,6,5,1,1],[1,25,10,15,20,6,10,20,15,6,5,10,6,5,1,1],[1,15,10,10,15,5,15,6,
10,10,10,15,6,5,10,6,5,1,1],[1,25,10,15,20,6,10,20,15,6,5,10,6,5,1,1],[1,1,30,
1,3,5,15,1,1,10,15,1,6,1,5,5,1,1,3,3,5,1,2,3,1,1,1,1],[1,1,1,5,1,1,5,1,5,1,1,
5,1,1,1,1],[1,1,1,5,1,1,15,1,5,1,1,5,1,3,1,1],[1,1,30,6,1],[1,27,16,18,69,24,
30,4,12,6,6,9,12,36,12,2,3,3,9,6,6,12,12,18,12,12,1,6,3,9,6,6,1,3,3,1],[1,27,
8,4,18,69,4,30,6,12,12,9,12,4,6,36,2,3,3,4,4,6,9,6,12,18,12,1,6,3,9,6,6,1,3,3,
1],[1,19,24,4,14,33,60,6,12,2,6,4,2,4,6,13,20,12,18,18,20,1,1,4,2,4,6,4,10,4,
9,10,12,2,6,6,4,4,6,6,4,4,4,4,4,6,4,12,1,2,1,1,2,2,1,1,1,1,2,2,4,2,4,6,2,6,4,
2,2,6,4,2,6,2,1,1,1,2,2,2,2,2,1],[1,11,16,26,13,24,2,4,4,2,10,13,12,4,12,1,1,
1,6,4,2,4,4,8,4,4,1,1,2,1,2,2,2,1,1,1,1],[1,11,8,4,26,13,4,2,6,4,4,8,13,12,4,
6,4,1,1,4,4,6,1,2,4,4,8,4,1,2,1,1,2,2,2,1,1,1,1],[1,35,38,89,34,2,12,4,25,82,
2,3,3,4,6,25,2,4,30,1,10,9,1,6,2,2,1,2,1,1,2,1],[1,19,14,33,6,2,4,4,4,12,13,
18,1,1,4,6,9,2,4,4,4,4,1,2,2,1,1,2,2,1,1,1,1],[1,15,40,35,24,15,16,10,32,8,1,
6,8,2,2,1],[1,9,12,4,27,18,12,4,12,9,9,9,1,12,9,1,4,2,1,2,1,1,1,1],[1,21,4,18,
9,18,12,16,9,9,9,1,12,9,1,4,2,1,2,1,1,1,1],[1,21,4,27,18,12,16,9,9,9,1,12,9,1,
4,2,1,2,1,1,1,1],[1,9,12,4,18,9,18,12,4,12,9,9,9,1,12,9,1,4,2,1,2,1,1,1,1],[1,
9,12,4,27,18,12,4,12,9,9,9,1,12,9,1,4,1,2,2,1,1,1,1],[1,21,22,4,9,9,18,75,12,
16,4,12,16,18,9,18,9,9,1,16,12,12,24,12,9,1,1,1,4,4,12,1,1,2,2,4,1,4,2,1,1,1,
2,1],[1,1,12,2,2,15,6,2,2,12,4,9,9,9,1,8,6,2,6,6,9,1,4,6,6,1,2,2,1,1,1,1],[1,
1,12,2,2,6,9,6,2,2,12,4,9,9,9,1,2,6,6,2,6,6,9,1,4,6,6,1,2,2,1,1,1,1],[1,13,2,
2,6,9,6,2,14,4,9,9,9,1,2,6,6,2,6,6,9,1,4,6,6,1,2,2,1,1,1,1],[1,13,2,2,15,6,2,
14,4,9,9,9,1,8,6,2,6,6,9,1,4,6,6,1,2,2,1,1,1,1],[1,9,10,4,27,27,9,4,12,12,27,
9,27,1,12,9,1,1,1,1,2,2,1,1,2,1,1,1,2,1],[1,9,10,4,9,9,9,4,12,12,9,9,9,1,12,9,
1,1,1,1,1,1,1,1,1,1],[1,1,18,2,2,1,9,9,2,2,12,6,6,9,9,9,1,6,6,6,6,2,2,9,1,1,1,
6,6,1,1,1,1,1,1,1],[1,1,18,2,2,7,15,9,2,2,12,6,6,15,9,27,1,2,8,6,6,6,8,2,6,9,
1,1,1,6,8,6,6,12,6,1,1,1,2,2,6,1,1,1,2,2,1],[1,13,30,2,2,1,9,6,87,2,14,12,12,
10,6,4,18,9,6,9,9,1,6,6,14,6,12,2,18,12,2,2,6,6,9,1,1,1,4,4,6,6,2,6,6,6,6,6,4,
4,1,1,1,2,2,6,1,1,1,2,2,1],[1,1,5,8,21,5,8,1,9,9,4,18,24,3,9,4,1,2,1,3,3,4,3,
6,3,1,1],[1,1,18,5,8,3,3,9,5,8,6,1,9,9,4,1,3,12,3,3,4,1,2,1,3,3,4,3,1,1,1],[1,
1,5,8,6,3,5,8,1,3,3,4,4,6,3,3,4,1,2,1,3,3,4,1,3,1,1],[1,21,18,13,3,9,10,57,3,
18,3,5,42,12,9,12,9,9,4,3,2,1,3,6,3,3,18,3,1,3,9,4,8,1,3,3,1,3,6,3,3,3,3,3,4,
1,3,3,1,1,1,1],[1,35,30,65,16,20,15,60,16,1,15,15,5,1,1],[1,81,10,30,270,810,
40,45,45,360,405,405,10,30,30,90,1,1],[1,9,10,30,36,6,6,40,45,45,1,9,12,12,24,
10,30,4,6,6,1,1],[1,9,10,30,18,18,12,40,45,45,1,9,12,12,24,10,30,2,2,12,1,1],[
1,27,4,18,27,18,18,27,7,3,6,6,3,3,9,9,18,6,1,1,2,3,3,6,1,1],[1,27,1,39,27,9,
108,13,9,27,12,27,9,27,1,3,2,3,4,1,3,3,3,3,1,1],[1,27,1,39,27,117,13,9,27,3,9,
117,1,3,2,3,4,3,9,6,9,12,1,1],[1,27,1,12,27,9,27,4,9,3,9,9,1,1,1,1,3,3,3,3,1,
1],[1,9,1,39,36,3,9,13,9,27,1,9,12,9,1,3,2,3,4,1,3,1,1,1,1,1],[1,27,4,18,27,
36,81,7,3,6,6,12,9,18,9,1,1,2,1,3,1,1],[1,9,4,18,18,18,12,7,3,6,6,9,3,3,15,1,
1,2,1,3,1,1],[1,9,4,18,18,18,12,7,3,6,6,9,3,3,15,1,1,2,1,3,1,1],[1,9,1,12,36,
3,4,9,9,9,12,1,1,3,3,3,3,3,1,1,1,1,1,1],[1,21,28,21,14,28,8,21,14,8,14,1],[1,
21,28,21,14,28,8,21,14,8,14,1],[1,21,28,21,14,28,8,21,7,7,8,7,7,1],[1,7,28,7,
28,8,1,7,8,7,1,1],[1,27,16,18,69,48,30,12,9,36,8,16,2,3,3,9,18,12,24,6,9,8,12,
1,1],[1,27,64,18,69,30,12,9,36,32,112,2,3,3,9,18,6,9,8,12,1,1],[1,27,16,18,69,
48,30,12,9,36,4,16,16,2,3,3,9,18,12,6,9,1,4,1,3,1],[1,19,36,4,6,6,33,90,4,24,
6,18,2,3,3,9,9,18,18,9,18,18,4,12,12,3,6,9,6,9,9,18,9,9,9,9,9,18,1,4,12,12,1,
3,3,9,9,9,9,1,3,3,4,3,1,3,3,1],[1,43,16,42,117,16,32,48,2,27,90,12,16,3,6,27,
27,8,24,12,1,9,9,12,3,1,1],[1,43,16,42,101,16,32,28,6,39,102,4,16,16,1,18,39,
21,16,8,4,3,7,9,1,4,3,1,2,1],[1,7,24,4,16,3,36,4,16,6,1,12,1,6,9,9,6,3,6,8,8,
4,3,6,1,3,3,6,3,6,6,6,6,6,1,4,4,4,1,3,3,3,3,3,3,2,2,1,4,3,1,1,1,1],[1,19,16,
30,33,16,6,2,12,12,21,18,16,12,3,3,12,6,9,6,12,12,8,12,1,3,3,6,6,8,4,3,1,1],[
1,7,24,4,8,16,3,36,4,8,6,1,16,12,3,6,3,9,36,12,18,3,6,4,8,4,8,4,3,12,3,6,1,12,
18,2,3,6,3,3,6,6,3,3,6,6,6,6,3,6,1,4,8,4,4,8,1,3,3,3,6,3,6,3,6,3,6,1,2,1,1,2,
4,3,1,1,2,1,2,1],[1,19,16,30,41,16,16,12,15,12,16,4,16,1,3,6,9,4,1,3,3,1,4,3,
1,1],[1,19,4,30,33,4,6,2,12,12,21,18,8,12,3,3,12,6,9,6,12,12,1,4,4,4,1,3,3,6,
6,2,3,4,3,1,1,1,1],[1,27,16,18,61,48,20,2,15,42,12,16,1,6,15,9,8,20,1,3,3,4,1,
1,1],[1,7,12,4,6,16,3,6,4,8,1,3,4,6,6,9,6,6,3,3,4,4,4,3,3,1,3,3,3,6,6,6,3,3,3,
1,4,4,4,1,3,3,3,3,3,3,1,1,1,4,3,1,1,1,1],[1,7,36,4,2,16,3,66,4,16,12,1,1,6,6,
9,6,6,33,3,36,8,8,4,3,1,3,2,18,6,3,3,6,6,6,6,1,4,4,4,1,3,3,3,3,3,3,2,1,2,4,3,
1,1,1,1],[1,19,12,4,2,6,33,30,4,6,6,2,1,1,3,9,6,6,3,18,6,8,12,1,6,3,2,9,3,6,3,
3,3,3,3,6,1,4,4,4,1,1,1,3,3,3,3,3,2,4,1,1,1,1,1],[1,15,28,16,6,12,7,78,16,16,
16,16,3,3,6,6,9,18,18,15,9,24,4,16,1,3,9,6,12,18,3,3,6,6,6,6,4,4,4,3,1,3,3,3,
3,3,1,4,3,1,1,1,1],[1,15,32,4,4,12,7,88,12,8,12,4,8,18,3,6,4,3,6,3,9,24,16,12,
9,18,4,12,8,4,12,8,4,4,4,1,4,3,6,3,4,12,6,9,18,3,3,6,6,3,3,6,6,6,6,3,6,1,4,4,
4,4,4,4,4,3,1,3,3,6,3,6,3,6,3,6,1,1,1,1,1,1,1,4,3,1,1,1,1,1,1,1,1],[1,5,30,5,
25,25,1,5,25,5,5,1,6,25,5,1,5,5,5,5,1,5,5,1,1,1,1,1,1,1],[1,9,1,12,36,27,9,12,
27,4,9,9,9,9,1,12,9,1,1,3,3,1,3,1,1,1,1],[1,9,1,12,36,27,9,12,27,4,9,9,9,9,1,
12,9,1,4,3,1,3,1,1,1,1],[1,9,1,12,63,9,12,27,4,9,18,9,1,12,9,1,4,3,1,3,1,1,1,
1],[1,9,1,12,63,9,12,27,4,9,18,9,1,12,9,1,1,6,1,3,1,2,1],[1,27,18,4,9,9,27,27,
27,18,12,12,36,27,4,3,6,9,18,27,9,3,2,18,6,6,18,12,9,1,1,3,9,6,3,2,3,1,1,1,
1],[1,9,36,1,12,9,54,9,36,12,36,12,27,4,9,18,36,9,1,4,12,12,36,9,1,1,6,12,1,4,
3,2,1,1],[1,27,36,4,9,27,108,27,36,36,3,81,36,27,4,3,6,18,27,27,108,27,3,12,9,
18,9,18,6,6,18,27,1,3,9,18,18,9,18,1,3,3,9,1,3,3,1],[1,15,48,4,9,9,126,12,21,
30,48,13,81,14,27,4,3,6,15,36,24,6,45,54,9,18,1,2,12,9,18,6,3,8,8,8,8,12,4,9,
18,1,3,1,8,12,12,12,6,3,6,6,6,1,1,2,1,2,3,6,1,1,2,1,2,1],[1,9,1,12,27,9,12,9,
4,27,12,9,1,1,3,1],[1,9,1,12,18,9,9,12,9,4,18,9,12,9,1,1,1,2,1],[1,33,4,9,27,
36,12,39,38,27,4,3,6,9,33,9,3,6,20,20,4,9,1,3,10,6,3,2,3,1,1,1,1],[1,9,24,4,9,
27,36,9,42,12,14,12,27,4,3,6,9,9,24,9,1,2,6,6,10,10,6,12,9,1,3,4,6,6,1,2,2,3,
1,1,1,1],[1,9,30,1,12,9,27,27,9,12,10,108,12,27,4,9,9,9,36,9,1,12,27,3,4,12,9,
1,1,3,12,3,1,1,1,3,1,1,1,1],[1,9,30,1,12,9,27,27,9,12,10,108,12,27,4,9,9,9,36,
9,1,12,27,3,4,12,9,1,1,3,12,3,1,1,1,3,1,1,1,1],[1,9,30,1,12,27,9,27,9,12,10,
108,12,27,4,9,9,9,36,9,1,12,27,3,4,12,9,1,3,1,12,3,1,1,1,3,1,1,1,1],[1,9,30,4,
9,9,27,27,9,12,36,1,81,12,27,4,3,6,9,9,36,9,1,12,9,18,3,6,2,2,6,9,1,1,3,6,6,3,
1,1,1,3,1,1,1,1],[1,9,1,12,18,9,9,12,9,4,9,18,9,1,12,9,1,1,1,1,1,1,1,1,1,1],[
1,9,1,12,9,9,12,9,4,9,9,1,12,9,1,1,1,1,1,1],[1,9,1,12,9,9,12,27,4,9,12,9,1,1,
1,1],[1,9,36,1,12,9,54,9,36,12,36,12,27,4,18,36,9,4,12,12,9,1,12,1,4,1,2,1],[
1,15,6,4,9,9,9,9,12,21,24,2,14,9,4,3,6,6,6,9,9,9,1,6,6,8,4,4,8,4,9,1,1,1,1,6,
6,1,2,2,1,1,1,1,1],[1,1,10,10,15,6,10,5,15,15,6,10,10,10,15,6,5,10,6,5,1,1],[
1,1,10,25,6,10,5,15,15,6,20,10,15,6,5,10,6,5,1,1],[1,21,10,15,10,6,30,20,5,15,
15,6,10,10,10,15,6,5,10,6,5,1,1],[1,1,20,10,15,10,6,10,20,20,5,15,15,6,10,10,
10,15,6,5,10,6,5,1,1],[1,1,30,10,1,15,15,6,10,20,5,15,15,6,12,10,10,10,5,6,6,
6,5,10,6,5,1,1],[1,1,30,10,1,15,15,6,10,10,10,5,15,15,6,12,10,10,10,5,6,6,6,5,
10,6,5,1,1],[1,25,26,10,15,15,20,85,6,10,20,10,10,20,20,15,30,15,15,6,6,6,5,
20,10,10,20,10,15,6,6,6,10,5,5,5,6,5,1,1,1,1,1],[1,1,30,1,3,5,15,1,1,10,5,15,
15,1,6,1,5,5,1,15,1,3,3,5,5,5,1,2,1,3,3,5,1,1,1,3,1,1,1,1],[1,1,120,40,90,270,
10,30,20,30,40,40,1],[1,10,57,49,45,27,45,18,10,3,30,2,3,4,6,6,6,6,1,1,2,3,6,
1],[1,1,39,13,9,27,27,1,3,2,3,4,9,9,9,9,1,3,3,6,1],[1,25,1,30,25,30,6,30,1,
1],[1,25,1,30,25,5,25,6,1,5,1,1],[1,35,24,4,38,89,60,34,12,2,6,12,6,4,18,25,
20,12,18,82,20,2,3,3,4,2,4,6,4,10,4,25,10,12,2,10,10,4,4,14,6,12,12,4,4,30,14,
4,28,1,2,1,1,10,2,2,3,3,9,1,2,6,2,4,6,4,6,2,10,4,2,6,6,4,2,10,1,2,2,1,3,1,3,3,
3,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,19,8,32,6,33,8,32,6,2,9,18,16,24,24,6,9,16,
2,16,8,24,1,6,8,2,2,1],[1,51,40,54,89,24,144,24,27,108,16,24,10,32,24,8,1,27,
27,16,48,36,6,24,9,8,2,2,6,6,8,6,6,1,1],[1,21,22,4,27,27,18,75,12,16,4,12,16,
18,27,9,9,9,27,18,9,9,1,16,12,12,24,12,9,9,9,9,9,9,9,1,1,1,4,4,12,9,1,2,2,1,2,
2,4,1,4,2,1,1,1,1,2,1,1,1,2,2,1,1,1,1,1,1,1,1],[1,1,18,5,8,9,21,9,5,8,6,1,21,
9,3,9,27,9,4,5,18,24,3,18,3,9,3,9,3,9,9,9,4,1,2,1,3,3,18,3,3,3,6,3,9,4,8,1,3,
6,3,1,3,3,3,3,3,3,4,1,3,3,1,1,1,1],[1,13,30,2,2,7,15,6,87,2,14,12,12,10,6,4,
18,15,9,9,9,27,6,9,9,1,2,8,6,14,6,12,2,18,12,8,2,6,6,6,9,9,9,9,9,9,9,1,1,1,4,
4,6,6,6,2,8,6,6,12,6,6,6,6,9,4,4,1,1,1,2,2,2,2,6,6,1,1,1,1,1,1,1,2,2,2,2,1,1,
1,1,1,1,1,1],[1,35,70,65,16,20,20,35,60,16,1,15,10,25,16,5,5,5,5,1,1,1],[1,27,
10,30,27,54,54,36,40,45,45,27,27,3,27,36,36,72,10,30,9,27,6,6,36,1,1,9,3,1],[
1,9,18,10,30,27,18,18,72,12,12,12,40,45,45,9,18,27,1,2,9,18,12,24,24,12,48,24,
10,30,3,6,9,18,2,2,8,12,12,12,1,1,3,6,2,1,1],[1,27,4,45,27,27,36,16,3,6,24,27,
27,3,18,18,1,4,8,9,3,4,1,1],[1,27,4,45,27,27,36,16,3,6,24,27,27,3,18,18,1,4,8,
9,3,4,1,1],[1,9,90,10,30,81,18,18,36,276,6,810,12,40,45,45,54,54,108,1,1,360,
405,405,9,9,12,12,12,12,24,24,10,30,36,36,72,9,9,30,90,2,2,4,6,6,12,1,6,6,12,
1,1,1,1],[1,9,10,30,81,18,18,12,40,45,45,54,54,1,9,12,12,24,10,30,9,9,2,2,12,
1,6,6,1,1],[1,9,10,30,9,18,18,12,40,45,45,18,18,1,9,12,12,24,10,30,1,9,2,2,12,
1,2,2,1,1],[1,9,10,30,27,18,18,12,40,45,45,9,27,1,9,12,12,24,10,30,3,9,2,2,12,
1,3,1,1,1],[1,9,10,30,27,18,18,12,40,45,45,9,27,1,9,12,12,24,10,30,3,9,2,2,12,
1,3,1,1,1],[1,9,54,4,18,81,18,18,54,54,18,108,12,7,3,6,6,54,54,54,3,15,9,18,9,
3,9,9,3,27,15,6,1,1,2,9,9,27,9,1,3,1,3,3,3,6,1,3,3,1,1,1,1],[1,27,36,1,39,81,
27,63,12,117,117,13,9,27,27,135,3,9,13,27,9,21,117,36,1,3,2,3,4,9,45,9,1,3,9,
4,6,9,12,3,4,4,4,1,3,3,3,6,1,1,1,1],[1,21,28,28,21,14,42,28,28,28,8,21,21,21,
14,28,8,21,8,14,8,1,1],[1,21,28,28,21,14,42,28,28,28,8,21,21,21,14,28,8,21,8,
14,8,1,1],[1,21,28,28,21,14,42,28,28,28,8,21,21,21,14,28,8,21,8,14,8,1,1],[1,
43,28,42,77,28,56,8,14,21,84,14,28,8,21,8,28,14,8,14,1,1],[1,1,28,21,28,8,7,7,
21,28,8,21,8,7,7,8,7,7,1],[1,15,28,35,84,8,15,7,28,8,1,8,21,8,7,1,1,1,1],[1,1,
11,20,15,6,11,20,5,10,6,10,15,6,10,6,5,10,5,6,10,6,5,1,1],[1,45,40,45,30,36,
120,45,10,36,30,10,30,10,12,1],[1,45,40,45,30,36,120,45,10,36,30,10,30,10,12,
1],[1,45,40,45,30,36,120,45,10,36,30,10,30,10,12,1],[1,45,40,45,30,36,120,45,
10,36,30,10,30,10,12,1],[1,45,40,45,30,36,120,45,10,36,15,15,10,15,15,10,6,6,
1],[1,25,1,30,25,6,1,1],[1,27,48,16,18,69,72,48,48,16,30,12,12,18,18,9,36,36,
36,8,48,48,16,2,3,3,9,18,18,36,36,18,36,36,12,16,24,3,6,9,9,18,18,12,12,8,12,
1,9,9,12,3,1,1],[1,27,24,64,12,18,69,12,64,30,18,12,36,9,36,12,18,36,32,112,2,
3,3,12,12,18,9,18,36,18,36,16,3,6,9,9,18,18,8,12,1,9,9,12,3,1,1],[1,51,64,78,
129,64,42,6,12,12,57,174,32,112,2,3,3,12,18,57,6,12,54,48,32,3,18,9,3,18,6,6,
8,12,1,6,3,3,6,4,8,3,1,1],[1,27,16,64,18,69,24,64,30,4,12,6,6,9,12,36,12,32,
112,2,3,3,9,6,6,12,12,18,12,12,16,1,6,3,9,6,6,8,12,1,3,3,4,1,1,1],[1,51,16,78,
129,48,32,42,6,12,12,57,174,16,8,16,16,2,3,3,12,18,57,6,12,54,12,16,24,16,3,
18,9,3,18,6,6,4,4,8,12,8,8,1,6,3,3,6,4,8,3,1,1],[1,27,8,16,4,18,69,4,48,32,30,
6,12,12,9,12,4,6,36,8,16,16,16,2,3,3,4,4,6,9,6,12,18,12,12,24,16,1,6,3,9,6,6,
4,8,12,4,1,3,3,4,1,1,1],[1,51,16,78,129,48,32,42,6,12,12,57,174,16,4,16,16,16,
2,3,3,12,18,57,6,12,54,16,8,12,16,3,18,9,3,18,6,6,1,4,4,4,1,6,3,3,6,3,2,4,3,1,
1,1,1],[1,51,16,78,145,48,32,62,2,36,12,45,162,16,12,16,16,4,9,9,12,6,45,6,12,
72,8,24,20,16,1,24,27,3,12,6,6,8,4,4,12,3,4,3,3,6,1,4,3,1,1,1,1],[1,19,48,4,8,
30,33,120,4,24,6,24,2,16,12,4,12,12,21,48,24,48,18,48,4,8,12,8,12,3,3,12,4,12,
6,12,24,8,9,24,24,6,12,12,12,12,12,12,12,12,12,12,12,12,12,24,1,4,4,12,8,4,4,
12,8,4,1,4,3,3,4,6,3,3,3,3,6,6,12,6,12,12,6,12,12,6,6,12,12,6,12,1,2,3,3,2,4,
4,4,4,4,4,4,4,3,3,3,6,6,6,6,6,1,1,3,2,3,1,2,1,1,4,3,1,1,1,1,1,1,1,1],[1,10,30,
81,40,45,45,10,30,1,1],[1,9,30,1,12,45,63,27,9,12,10,108,12,63,27,81,4,9,9,18,
9,36,18,9,27,1,12,27,3,4,12,9,18,9,9,18,1,1,4,4,3,12,3,9,1,1,1,4,3,3,3,6,1,1,
1,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,33,54,4,9,9,27,36,207,12,39,54,48,15,81,38,54,
27,36,27,27,4,3,6,9,15,36,42,33,63,126,9,9,45,27,3,2,12,9,18,6,9,20,12,12,20,
12,4,9,45,9,9,9,9,9,1,1,3,6,10,8,24,24,12,6,9,6,6,24,9,1,3,2,3,2,4,3,3,3,12,6,
1,1,1,1,3,1,2,3,2,3,1,1,1,1,1,1,1,1],[1,9,36,1,12,63,54,9,36,12,36,12,27,9,27,
4,9,18,18,36,9,27,1,4,12,12,36,9,9,9,1,1,6,6,12,9,1,4,3,1,3,2,1,2,3,1,1,1,1],[
1,9,36,1,12,18,9,54,9,36,12,36,12,9,27,27,4,18,36,18,9,27,4,12,12,9,9,9,1,12,
9,1,4,1,2,2,1,1,1,1],[1,1,30,10,11,25,15,6,10,20,5,25,15,15,15,45,15,6,12,10,
20,10,20,10,15,15,15,5,15,15,15,6,6,6,5,10,20,10,10,20,15,6,6,6,5,5,5,10,6,5,
1,1,1,1,1],[1,21,50,10,1,15,10,145,6,30,20,30,10,20,30,5,15,15,15,10,15,15,15,
6,12,10,30,20,10,30,20,10,10,10,5,15,15,15,15,15,15,6,6,6,5,10,10,10,10,10,10,
10,15,6,6,6,5,5,5,10,6,5,1,1,1,1,1],[1,81,1,120,81,1080,40,90,270,90,270,1080,
10,30,20,30,40,90,270,180,270,360,40,120,1,1],[1,27,1,120,108,9,108,40,90,270,
12,27,27,36,108,10,30,20,30,40,1,12,9,12,12,12,40,4,12,1,1],[1,81,10,57,81,
270,810,49,45,27,45,18,360,405,405,27,81,10,3,30,2,3,4,6,6,6,6,30,90,9,9,9,9,
1,1,2,3,6,1,3,9,1,1],[1,27,10,57,54,54,117,49,45,27,45,18,3,9,27,36,36,153,10,
3,30,2,3,4,6,6,6,6,6,6,9,6,9,12,36,1,1,2,3,6,3,1,3,6,1,1],[1,27,10,57,108,18,
18,27,49,45,27,45,18,3,3,27,36,36,72,27,6,10,3,30,2,3,4,6,6,6,6,12,3,18,18,3,
3,3,6,6,6,6,1,1,2,3,6,3,1,3,6,1,1],[1,27,1,39,108,9,27,13,9,27,27,3,27,36,27,
9,1,3,2,3,4,9,9,9,9,3,9,3,3,3,9,9,9,9,1,3,3,6,1,3,9,1,1],[1,25,125,1,30,25,30,
25,150,6,30,30,1,1,1],[1,25,25,1,30,25,30,10,25,6,30,10,1,1,1],[1,25,50,125,1,
30,25,50,30,10,50,25,50,6,2,10,30,10,1,1,2,1],[1,19,8,32,78,33,8,32,6,2,36,36,
45,18,16,48,96,24,24,9,9,36,6,9,18,36,36,16,2,16,8,24,24,24,1,9,9,18,18,16,12,
48,6,24,24,9,8,2,2,6,6,8,6,6,1,1],[1,27,112,18,69,144,30,12,9,36,64,48,144,48,
2,3,3,9,18,12,48,6,9,48,10,16,12,12,1,6,8,1,1,2,1],[1,19,36,8,32,6,6,33,90,8,
32,24,6,18,2,3,3,9,9,18,18,9,18,18,16,4,24,12,24,24,3,6,9,6,9,9,18,9,9,9,9,9,
18,16,2,16,8,12,12,12,12,24,1,3,3,9,9,9,9,16,1,3,6,6,4,12,3,8,2,2,3,3,3,3,4,4,
1,3,1,1],[1,43,8,32,42,117,8,128,32,48,2,27,90,16,24,16,24,48,3,6,27,27,16,32,
2,16,8,24,48,1,9,9,16,6,12,12,3,8,2,2,1,3,1,1],[1,51,40,126,89,24,144,24,36,
63,108,16,24,10,32,24,8,1,27,18,45,16,48,36,6,24,9,9,9,16,8,2,2,6,6,9,8,6,6,1,
1,1],[1,27,108,10,30,27,324,54,54,108,288,18,810,36,81,40,45,45,27,162,54,27,
162,324,27,81,3,3,360,405,405,27,27,36,36,36,36,72,72,27,81,10,30,9,9,18,108,
108,216,27,27,27,27,54,30,90,6,6,12,18,18,36,27,27,1,1,3,9,9,18,18,18,36,1,3,
3,3,9,1,3,3,1],[1,27,54,4,45,27,27,81,27,54,36,36,108,36,81,16,3,6,24,27,27,
54,27,27,3,6,12,18,18,18,18,36,24,27,27,1,4,8,3,9,9,18,3,6,12,24,9,4,1,3,3,4,
3,1,1],[1,45,10,30,81,54,90,90,60,81,40,45,45,54,54,54,54,5,45,60,60,120,54,
10,30,9,18,9,54,10,10,60,9,9,1,2,6,6,18,5,6,2,1,1],[1,9,36,10,30,81,54,18,18,
144,24,24,12,81,40,45,45,54,54,18,36,54,1,4,9,36,12,48,48,12,96,24,54,10,30,9,
6,12,9,18,36,2,2,16,24,24,12,9,9,1,2,6,6,6,12,4,1,6,2,1,1],[1,9,90,10,30,9,81,
81,18,18,36,276,6,810,12,81,40,45,45,54,54,54,54,108,18,18,1,1,360,405,405,9,
9,12,12,12,12,24,24,54,54,10,30,1,9,36,36,72,9,9,9,9,30,90,2,2,4,6,6,12,9,9,1,
2,2,6,6,6,6,12,1,1,1,6,6,1,1,1,1],[1,9,10,30,54,81,18,18,12,81,40,45,45,18,54,
54,54,1,9,12,12,24,54,10,30,6,9,9,18,2,2,12,9,9,1,6,2,6,6,1,6,1,2,1],[1,9,10,
30,135,18,18,12,81,40,45,45,72,54,54,1,9,12,12,24,54,10,30,6,9,9,18,2,2,12,9,
9,1,6,2,6,6,1,6,1,2,1],[1,9,10,30,81,18,18,12,81,40,45,45,54,54,1,9,12,12,24,
10,30,9,9,2,2,12,9,9,1,6,6,1,1,1],[1,9,10,30,81,18,18,12,81,40,45,45,54,54,1,
9,12,12,24,10,30,9,9,2,2,12,9,9,1,6,6,1,1,1],[1,9,90,10,30,27,27,81,18,18,36,
276,6,810,12,81,40,45,45,9,9,54,54,108,27,27,1,1,360,405,405,9,9,12,12,12,12,
24,24,27,27,10,30,3,3,36,36,72,9,9,9,9,30,90,2,2,4,6,6,12,9,9,1,3,3,1,1,6,6,
12,1,1,1,3,3,1,1,1,1],[1,45,4,45,81,54,36,63,78,81,16,3,6,24,27,27,45,27,3,18,
24,24,48,27,27,1,4,8,9,12,18,3,4,6,9,4,1,3,3,4,3,1,1],[1,45,4,45,81,54,36,63,
78,81,16,3,6,24,27,27,45,27,3,18,24,24,48,27,27,1,4,8,9,12,18,3,4,6,9,4,1,3,3,
4,3,1,1],[1,27,36,4,45,27,108,27,144,36,3,81,36,27,16,3,6,24,27,18,27,27,108,
27,3,12,9,18,9,18,6,6,18,36,27,27,1,4,8,3,9,18,18,9,18,1,3,3,12,9,4,1,3,3,4,1,
1,1],[1,9,10,30,36,27,18,18,12,27,40,45,45,9,9,45,18,27,1,9,12,12,24,27,9,10,
30,1,3,3,9,9,9,2,2,12,3,9,1,2,2,3,3,1,1,1,1,3,1,1,1,1],[1,27,18,10,30,9,27,27,
54,54,72,12,12,36,27,40,45,45,9,18,27,18,18,27,27,3,2,27,18,36,24,24,36,48,72,
9,27,10,30,1,3,9,6,9,27,9,18,6,6,8,12,12,36,3,9,1,1,1,2,2,3,9,6,2,3,1,3,1,1,1,
1],[1,9,13,36,27,45,72,12,9,16,12,24,24,27,36,12,12,24,9,18,9,4,1,8,1,12,9,4,
3,4,1,1],[1,55,55,55,66,55,110,66,12,55,55,12,11,11,1],[1,43,56,28,42,77,196,
28,56,28,28,56,8,14,42,21,21,21,42,84,42,14,56,28,28,56,28,8,8,8,21,21,21,42,
42,8,28,28,14,8,21,8,8,8,14,8,1,1,1,1,1],[1,1,20,20,45,36,20,20,15,15,45,10,
36,60,60,45,10,36,15,15,10,15,15,10,6,6,1],[1,45,36,40,45,30,90,36,120,45,45,
45,10,36,36,36,30,45,10,36,30,10,12,10,1,1],[1,45,36,40,45,30,90,36,120,45,45,
45,10,36,36,36,30,45,10,36,30,10,12,10,1,1],[1,1,11,20,10,15,6,11,20,5,15,15,
10,6,10,10,20,20,15,6,15,10,6,5,10,5,15,10,15,6,10,10,10,6,5,15,6,5,10,1,6,5,
1,1,1],[1,45,40,135,30,36,120,45,45,45,10,36,30,45,10,36,30,20,10,12,10,1,1],[
1,45,40,90,45,30,36,120,45,45,45,10,36,30,45,10,36,30,20,10,12,10,1,1],[1,45,
40,90,45,30,36,120,45,45,45,10,36,30,45,10,36,30,10,10,10,12,10,1,1],[1,45,40,
135,30,36,120,45,45,45,10,36,30,45,10,36,30,10,20,12,10,1,1],[1,45,40,135,30,
36,120,45,45,45,10,36,30,45,10,36,30,10,20,12,10,1,1],[1,1,11,20,45,6,11,20,5,
45,45,10,6,50,60,45,6,45,10,6,5,10,5,45,15,6,10,20,18,15,30,15,6,10,5,1,6,5,3,
1,1],[1,75,40,90,165,36,120,160,30,45,180,10,36,30,120,45,10,40,36,60,30,10,
20,30,12,10,12,1,1],[1,45,30,40,45,45,30,135,36,120,40,120,30,45,90,45,45,10,
36,30,120,45,10,40,36,30,30,30,10,20,30,12,10,12,1,1],[1,45,46,40,45,45,30,
135,36,40,120,120,30,45,90,45,45,10,36,36,36,30,120,45,10,10,10,36,30,30,30,
10,10,10,30,12,10,12,1,1],[1,1,90,11,20,3,15,45,6,11,20,90,60,60,5,45,45,10,6,
36,1,10,45,60,30,15,6,15,10,10,10,6,18,18,5,10,5,15,15,30,6,12,10,10,10,18,15,
5,6,6,6,5,10,1,6,5,3,1,1],[1,10,138,76,126,270,45,72,19,30,30,20,30,40,24,24,
24,24,1,40,8,12,24,24,48,1,4,8,1],[1,25,25,1,30,25,25,30,25,6,25,30,1,1,1,1],[
1,75,25,1,30,125,75,15,75,25,6,25,3,15,1,3,1,1],[1,51,40,64,12,78,129,132,64,
64,64,42,28,6,18,12,6,12,42,57,60,36,30,174,36,32,112,64,2,3,3,12,6,12,18,12,
30,12,57,18,36,6,30,18,12,12,42,18,12,12,12,12,54,18,12,60,16,48,32,16,3,6,1,
3,18,6,6,3,9,9,3,6,18,6,12,6,12,18,6,30,12,6,18,18,12,6,18,8,12,16,1,6,6,3,9,
3,3,3,9,6,6,6,6,6,6,4,12,4,8,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,51,56,16,4,78,
129,172,48,32,48,16,32,42,36,6,6,12,18,12,30,57,36,28,42,174,60,16,8,48,32,16,
48,32,16,16,16,2,3,3,4,6,12,18,4,18,12,57,30,36,6,18,30,12,12,18,18,36,36,12,
12,54,42,12,60,12,16,16,16,16,16,24,16,16,16,3,6,3,1,18,6,6,9,3,9,3,6,18,6,12,
18,12,18,6,18,12,6,6,18,12,6,30,4,12,12,4,4,8,12,4,8,8,16,1,6,6,3,3,3,9,9,3,6,
6,6,6,6,6,4,4,4,4,12,4,4,8,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,81,10,30,81,270,
810,40,45,45,81,360,405,405,10,30,30,90,1,1,1,1],[1,45,10,30,81,90,90,60,40,
45,45,81,5,45,60,60,120,10,30,10,10,60,1,5,1,1],[1,45,10,30,81,180,30,30,40,
45,45,81,5,45,60,60,120,10,30,20,30,30,1,5,1,1],[1,75,160,90,205,96,160,90,60,
45,180,96,120,400,6,15,15,45,90,80,40,30,45,30,60,16,32,16,5,6,10,6,5,1],[1,
75,40,90,165,96,120,80,40,10,75,210,96,40,50,40,40,1,30,75,45,40,20,70,40,5,
15,15,10,10,10,16,5,6,5,10,6,5,1],[1,81,1,120,243,81,1080,40,90,270,81,90,270,
1080,10,30,20,30,40,270,90,270,180,270,360,40,90,120,1,1,1],[1,81,1,120,243,
81,1080,40,90,270,81,90,270,1080,10,30,20,30,40,27,81,162,90,270,180,270,360,
40,9,27,54,120,1,1,1],[1,81,1,120,81,81,1080,40,90,270,81,90,270,1080,10,30,
20,30,40,9,27,90,270,180,270,360,40,9,27,54,120,1,1,1],[1,81,1,120,81,81,1080,
40,90,270,81,90,270,1080,10,30,20,30,40,18,18,90,270,180,270,360,40,18,18,18,
36,120,1,1,1],[1,81,54,1,120,243,81,216,18,216,1080,40,90,270,81,648,90,270,
24,54,54,72,1080,216,10,30,20,30,40,108,216,54,2,90,270,24,180,270,360,18,24,
24,24,40,36,18,36,72,8,120,24,1,24,1,2,1],[1,27,10,138,27,54,54,36,76,45,108,
45,72,54,27,27,27,3,27,36,36,72,10,12,30,8,12,16,24,24,24,24,9,27,27,6,6,36,1,
4,8,12,24,1,9,3,4,1,1,2,1],[1,27,108,10,57,243,54,54,189,288,18,837,117,49,45,
27,45,18,162,162,405,3,3,9,363,405,405,27,27,36,36,36,36,99,153,108,6,10,3,30,
2,3,4,6,6,6,6,27,108,108,243,27,27,30,90,6,6,9,12,12,6,9,12,18,18,36,12,12,12,
6,6,6,6,1,1,2,3,6,9,18,18,36,9,18,1,3,3,1,3,1,3,9,3,6,6,1,3,3,3,1,1,1,1],[1,
25,125,1,30,125,25,30,25,150,6,25,30,30,1,1,1,1],[1,25,125,1,30,125,25,30,25,
150,6,25,30,30,1,1,1,1],[1,25,50,25,125,125,1,30,125,25,50,30,10,50,25,10,150,
25,50,25,6,25,50,2,10,30,30,10,10,1,10,1,2,1,1,1,1],[1,19,72,8,32,12,78,33,
180,8,32,48,6,36,2,42,36,6,36,18,45,108,36,126,18,108,16,8,48,96,24,24,48,24,
9,9,36,6,36,6,36,54,12,9,54,36,18,18,18,36,36,18,18,36,36,36,36,36,18,36,36,
16,2,16,8,24,24,48,24,24,24,48,24,24,1,6,9,9,6,18,9,9,9,9,18,18,36,18,36,18,
18,18,36,18,18,18,36,18,18,16,32,2,12,48,6,6,12,8,24,24,24,24,24,24,24,6,9,9,
9,18,18,18,18,18,16,8,2,2,6,6,12,6,6,12,6,6,24,9,8,8,8,2,6,6,6,6,6,6,6,1,8,6,
1,2,1],[1,99,112,198,249,144,480,66,18,12,36,153,450,64,144,48,144,144,48,2,3,
3,36,54,153,18,36,126,64,12,240,192,48,144,9,42,9,9,54,18,18,48,10,12,12,16,
12,12,48,48,1,18,9,9,18,48,6,12,36,12,48,9,8,1,1,2,6,6,8,3,3,6,1,1],[1,27,48,
112,18,69,72,144,192,48,16,30,12,12,18,18,9,36,36,36,64,48,144,48,48,48,2,3,3,
9,18,18,36,36,18,36,36,64,12,16,48,48,3,6,9,9,18,18,48,10,12,12,16,12,12,1,9,
9,16,6,12,12,3,8,1,1,2,1,3,1,1],[1,19,8,32,78,33,8,32,6,2,36,36,36,108,45,18,
16,48,96,24,24,9,9,36,6,9,18,36,36,36,36,16,2,16,8,24,24,24,1,18,18,9,9,18,18,
16,12,48,6,24,24,9,9,9,16,8,2,2,6,6,9,8,6,6,1,1,1],[1,67,8,32,150,201,8,224,
64,90,2,108,36,81,306,16,48,96,24,32,24,96,6,27,27,36,6,81,18,36,162,16,64,2,
16,8,48,24,24,72,96,1,54,81,9,18,18,18,16,32,12,48,6,24,24,24,24,9,6,9,9,18,
16,8,2,2,6,6,24,9,8,2,6,6,6,1,6,1,2,1],[1,27,24,112,12,18,69,12,144,96,64,30,
18,12,36,9,36,12,18,36,64,48,144,48,48,48,2,3,3,12,12,18,9,18,36,18,36,64,12,
16,48,48,3,6,9,9,18,18,48,10,12,16,12,12,12,1,9,9,16,6,12,12,3,8,1,1,2,1,3,1,
1],[1,1,120,81,40,90,270,81,10,30,20,30,40,40,1,1],[1,9,90,10,30,63,135,81,18,
18,36,276,6,810,12,135,81,243,40,45,45,18,72,54,54,54,108,72,18,54,81,1,1,360,
405,405,9,9,12,12,12,12,24,24,54,72,54,54,108,54,10,30,1,6,6,9,36,36,72,9,9,9,
9,18,18,54,30,90,2,2,4,6,6,12,6,9,9,9,18,9,9,9,18,18,1,2,2,6,6,2,2,6,6,6,6,12,
9,9,1,1,1,2,6,6,6,6,6,6,6,1,1,1,2,2,6,1,1,1,2,2,1],[1,45,126,10,30,9,81,54,
567,90,90,180,300,30,810,60,162,81,54,81,81,40,45,45,54,54,54,270,108,54,270,
540,18,18,54,162,81,5,5,360,405,405,45,45,60,60,60,60,120,120,54,162,18,54,54,
54,54,54,10,30,1,9,18,18,36,180,180,360,45,45,9,9,54,54,108,54,30,90,10,10,20,
30,30,60,6,9,9,9,9,9,9,54,54,18,1,2,6,2,2,6,6,18,18,36,30,30,60,9,9,1,5,5,2,6,
18,6,6,6,6,6,2,6,5,1,1,6,2,1,1,1,2,1],[1,45,10,30,135,54,90,90,60,81,81,81,40,
45,45,72,54,54,54,54,81,5,45,60,60,120,54,54,10,30,6,9,18,9,18,54,10,10,60,9,
9,9,9,9,9,1,2,6,2,6,6,18,9,9,5,6,6,2,1,2,1,1,1,1],[1,9,36,10,30,54,81,54,18,
18,144,24,24,12,81,81,81,40,45,45,18,54,54,18,36,54,54,81,1,4,9,36,12,48,48,
12,96,24,54,54,10,30,6,9,6,12,9,18,18,36,2,2,16,24,24,12,9,9,9,9,9,9,1,2,6,2,
6,6,6,12,9,9,4,1,6,6,2,1,2,1,1,1,1],[1,9,36,10,30,135,54,18,18,144,24,24,12,
81,81,81,40,45,45,72,54,18,36,54,54,81,1,4,9,36,12,48,48,12,96,24,54,54,10,30,
6,9,6,12,9,18,18,36,2,2,16,24,24,12,9,9,9,9,9,9,1,2,6,2,6,6,6,12,9,9,4,1,6,6,
2,1,2,1,1,1,1],[1,45,10,30,54,81,54,90,90,60,81,81,81,40,45,45,18,54,54,54,54,
54,81,5,45,60,60,120,54,54,10,30,6,9,18,9,18,54,10,10,60,9,9,9,9,9,9,1,2,6,2,
6,6,18,9,9,5,6,6,2,1,2,1,1,1,1],[1,9,90,10,30,9,81,81,18,18,36,276,6,810,12,
81,81,81,40,45,45,54,54,54,54,108,18,18,81,1,1,360,405,405,9,9,12,12,12,12,24,
24,54,54,10,30,1,9,36,36,72,9,9,9,9,30,90,2,2,4,6,6,12,9,9,9,9,9,9,1,2,2,6,6,
6,6,12,9,9,1,1,1,6,6,1,1,1,1,1,1,1],[1,45,90,4,45,27,81,54,405,36,63,198,72,
39,189,78,108,81,108,81,81,16,3,6,24,27,27,45,108,90,45,135,270,27,27,81,81,3,
6,24,9,18,18,9,24,24,24,24,72,48,24,27,81,27,27,27,27,27,27,27,27,1,4,8,3,9,
12,12,24,36,36,72,18,9,18,18,36,27,27,1,3,6,4,3,6,12,12,24,12,9,9,9,18,18,4,1,
3,3,3,3,3,6,3,6,12,9,4,4,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,55,56,55,55,220,66,
55,110,55,55,110,55,66,66,66,12,55,110,55,55,110,55,66,12,55,55,12,11,11,12,
11,11,1,1],[1,91,112,210,301,112,224,64,120,14,147,462,84,112,112,7,42,147,
147,64,56,112,168,84,7,49,63,7,84,8,21,7,7,14,16,8,7,7,1],[1,31,20,20,60,15,
36,20,140,40,15,60,90,45,45,10,36,80,60,20,60,60,15,90,15,45,90,10,40,36,15,
15,60,60,45,10,20,20,36,15,30,15,15,15,10,10,10,15,15,6,6,10,6,6,1,1],[1,1,30,
20,20,15,45,15,36,20,20,120,40,15,45,15,45,45,45,45,10,36,20,60,60,20,60,60,
15,45,45,15,45,45,45,10,40,36,15,15,60,60,45,10,20,20,36,15,15,15,15,15,15,10,
10,10,15,15,6,6,10,6,6,1,1],[1,1,90,20,20,1,45,45,36,20,20,120,60,60,15,15,45,
45,45,45,45,10,36,72,60,60,60,60,20,20,45,15,15,45,45,45,45,10,10,10,36,36,36,
15,15,60,60,45,10,10,10,36,15,15,15,15,15,15,10,10,10,15,15,6,6,10,6,6,1,1],[
1,45,66,40,45,135,30,225,36,120,40,120,30,45,45,45,135,90,135,45,45,10,36,36,
36,30,120,45,45,45,45,45,45,45,10,40,36,36,36,30,30,30,45,10,20,20,36,30,12,
10,10,10,12,10,1,1,1,1,1],[1,75,36,40,90,90,165,90,36,120,160,30,45,90,45,90,
90,45,180,10,36,36,36,30,120,45,45,45,90,90,10,40,36,36,36,60,30,45,20,10,20,
36,30,12,10,10,10,12,10,1,1,1,1,1],[1,45,46,40,135,135,30,135,36,40,120,120,
30,135,45,45,45,135,90,45,45,10,36,36,36,30,120,45,45,45,45,45,45,45,10,10,10,
36,36,36,30,30,30,45,10,20,20,10,10,36,30,12,20,10,10,10,20,12,10,1,1,1,1,1],[
1,1,90,11,20,13,45,45,6,11,20,90,60,60,5,45,45,15,45,135,45,10,6,36,11,50,60,
45,60,50,20,45,6,45,15,45,15,45,45,45,10,10,10,6,18,18,5,10,5,45,15,50,45,15,
45,90,60,15,6,12,45,10,10,10,20,20,6,18,18,5,15,30,15,5,15,45,15,15,15,15,6,6,
6,10,10,10,5,20,20,18,15,15,1,6,6,6,10,5,5,5,1,3,3,6,5,1,3,1,1,1,1],[1,81,10,
138,162,162,1080,76,126,270,45,72,90,270,81,108,108,1188,19,30,30,20,30,40,24,
24,24,24,99,18,270,180,270,360,108,1,40,8,12,24,24,48,9,120,36,72,1,4,8,1,12,
1,1],[1,81,10,138,324,54,54,324,76,126,270,45,72,9,36,81,81,108,108,216,324,
72,19,30,30,20,30,40,24,24,24,24,3,36,36,54,54,36,36,36,72,72,72,72,1,40,8,12,
24,24,48,9,12,12,24,36,72,1,4,8,3,12,24,1,1],[1,81,10,138,324,270,810,76,126,
270,45,72,360,405,405,81,108,324,19,30,30,20,30,40,24,24,24,24,30,90,36,27,36,
36,36,1,40,8,12,24,24,48,1,12,36,36,1,4,8,3,4,1,1],[1,25,150,25,375,1,30,25,
250,25,150,30,30,150,125,25,75,150,6,25,50,6,30,30,25,30,1,1,6,1,3,1,2,1],[1,
25,25,125,1,30,25,25,30,125,25,25,150,6,25,30,25,30,1,1,1,1,1,1],[1,25,25,75,
1,30,25,25,30,25,25,30,75,6,25,30,25,30,1,1,1,3,1,1],[1,45,10,30,135,81,90,90,
60,40,45,45,81,45,135,5,45,60,60,120,81,10,30,15,45,10,10,60,1,15,5,5,5,1,1,
1],[1,45,10,30,135,81,90,90,60,40,45,45,81,45,135,5,45,60,60,120,81,10,30,15,
45,10,10,60,1,15,5,5,5,1,1,1],[1,45,126,10,30,405,81,90,90,180,300,30,810,60,
40,45,45,81,81,81,270,270,540,5,5,360,405,405,45,45,60,60,60,60,120,120,81,10,
30,180,180,360,45,45,30,90,10,10,20,30,30,60,1,30,30,60,1,5,5,5,1,1,1,1,1],[1,
115,160,270,385,96,160,320,130,30,60,60,225,630,96,120,400,160,6,15,15,60,90,
225,30,60,210,96,240,160,40,15,70,45,15,90,30,30,30,60,40,16,32,16,5,30,15,15,
30,6,10,20,40,16,16,15,6,5,10,6,5,1,1],[1,81,1,120,243,81,1080,81,40,90,270,
243,90,270,1080,81,10,30,20,30,40,54,54,90,270,180,270,360,40,54,54,54,108,
120,36,1,1,3,1],[1,81,1,120,324,243,81,1080,243,40,90,270,81,81,81,90,270,
1080,81,10,30,20,30,40,9,297,27,81,162,90,270,180,270,360,27,81,40,9,27,90,9,
27,54,54,120,9,27,1,1,1,1,1,1],[1,81,1,120,567,81,1080,243,40,90,270,162,81,
90,270,1080,81,10,30,20,30,40,72,162,18,324,90,270,180,270,360,54,54,40,18,18,
18,54,108,18,36,120,18,18,1,1,2,1,1],[1,81,1,120,162,81,81,1080,81,40,90,270,
162,81,90,270,1080,81,10,30,20,30,40,18,54,18,18,90,270,180,270,360,18,40,18,
54,18,18,18,36,108,120,18,18,1,1,2,1,1],[1,81,1,120,81,81,1080,81,40,90,270,
81,90,270,1080,81,10,30,20,30,40,18,18,90,270,180,270,360,18,40,18,18,18,36,
120,18,1,1,1,1],[1,81,1,120,81,81,1080,243,40,90,270,81,90,270,1080,81,10,30,
20,30,40,18,18,90,270,180,270,360,40,18,18,18,36,120,18,1,1,1,1],[1,81,108,1,
120,81,486,81,432,36,432,1080,243,40,90,270,162,1296,81,90,270,48,108,108,144,
1080,432,81,10,30,20,30,40,18,18,216,432,108,4,90,270,48,180,270,360,36,48,48,
48,54,40,72,18,18,36,18,36,72,144,16,120,48,18,18,1,48,1,4,1,2,1],[1,81,54,1,
120,243,81,243,81,216,18,216,1080,243,40,90,270,81,81,648,81,90,270,24,54,54,
72,1080,216,81,10,30,20,30,40,270,18,18,108,216,54,2,90,270,24,180,270,360,18,
24,24,24,54,40,36,18,18,90,18,18,36,36,72,8,120,24,18,1,24,1,2,1,1,1,1],[1,81,
54,1,120,81,243,243,81,216,18,216,1080,243,40,90,270,81,81,648,81,90,270,24,
54,54,72,1080,216,81,10,30,20,30,40,9,27,27,81,162,108,216,54,2,90,270,24,180,
270,360,18,24,24,24,27,27,40,36,9,27,9,27,54,18,54,36,72,8,120,24,9,9,1,24,1,
2,1,1,1,1],[1,81,10,138,243,108,162,162,432,243,76,45,108,45,72,162,162,54,27,
108,108,9,36,81,108,108,540,81,162,162,10,12,30,8,12,16,24,24,24,24,27,36,27,
27,108,18,18,36,24,36,48,108,27,27,27,1,4,8,12,24,4,18,18,36,9,4,12,24,18,4,4,
1,2,3,4,3,3,6,1,1],[1,27,54,10,138,27,27,81,54,54,216,36,36,108,36,81,76,45,
108,45,72,54,27,27,54,27,54,54,27,81,3,6,12,27,54,36,72,72,36,144,72,108,24,
27,27,81,10,12,30,8,12,16,24,24,24,24,3,9,9,18,27,27,27,27,54,6,6,24,12,36,36,
36,12,12,12,24,24,24,24,9,27,27,1,4,8,12,24,1,3,6,6,9,9,18,6,3,4,12,24,3,9,4,
1,3,1,2,3,4,1,3,1,1],[1,27,108,10,138,27,324,54,54,432,288,18,810,36,81,76,45,
108,45,72,54,27,27,162,54,27,162,324,27,81,3,3,360,405,405,27,27,36,36,36,36,
180,72,324,27,81,81,10,12,30,8,12,16,24,24,24,24,9,9,18,108,108,216,27,27,27,
27,27,54,30,90,6,6,12,36,18,18,36,36,36,36,27,27,27,1,4,8,12,24,1,3,9,9,18,18,
18,36,1,3,3,12,36,3,9,4,1,3,1,2,3,4,1,3,1,1],[1,25,50,25,125,125,1,30,125,125,
125,25,50,30,10,50,125,25,10,150,25,50,25,6,25,25,25,50,2,10,30,25,30,10,10,1,
10,1,2,1,1,1,1,1,1,1],[1,99,72,112,12,198,249,372,144,288,48,80,480,66,84,18,
18,12,18,36,54,153,108,84,54,450,108,64,144,48,144,48,96,144,48,288,48,48,48,
2,3,3,12,18,36,54,12,54,36,153,54,108,18,54,54,36,36,54,54,36,36,36,36,126,54,
36,108,64,128,12,16,48,48,16,240,192,48,48,48,48,144,48,9,18,3,3,42,18,18,9,9,
9,9,18,54,18,36,18,36,54,18,54,36,18,18,54,36,18,54,64,48,10,12,12,12,12,12,
16,12,12,12,48,48,48,48,1,18,18,9,9,9,9,9,9,18,18,18,18,18,18,16,48,16,12,12,
6,12,12,12,36,12,12,12,12,12,48,3,3,9,9,9,9,9,8,16,1,1,2,6,6,12,12,9,8,1,1,3,
3,3,3,6,1,3,3,1,1,1,1],[1,67,72,8,32,12,150,201,180,8,224,48,64,90,36,2,42,
108,42,36,126,81,108,36,126,306,108,16,8,48,96,24,24,32,48,24,96,6,27,27,36,6,
36,6,36,54,12,81,54,36,18,54,54,36,36,90,18,108,108,36,36,162,90,36,180,16,64,
2,16,8,24,24,48,48,24,24,24,48,24,72,96,1,6,9,9,54,6,18,27,27,81,9,18,18,18,
36,54,36,18,18,54,36,18,54,18,36,18,54,16,32,32,2,12,48,6,6,12,8,24,24,24,24,
24,24,24,24,24,9,6,6,9,27,9,27,27,27,18,18,18,18,18,18,16,16,16,8,2,2,6,6,12,
6,6,12,6,6,24,24,9,9,9,9,9,9,9,16,8,8,8,2,2,6,6,6,6,6,6,6,6,9,1,8,6,6,1,2,2,1,
1,1,1],[1,81,1,120,81,81,1080,40,90,270,81,81,90,270,1080,10,30,20,30,40,81,
90,270,180,270,360,40,120,1,1,1,1],[1,135,1,120,81,540,45,540,40,90,270,243,
81,60,135,135,180,540,10,30,20,30,40,81,5,60,45,60,60,60,40,20,60,1,5,1,1],[1,
105,175,315,140,126,105,630,120,315,70,126,105,70,140,105,35,70,126,120,210,
210,105,70,35,63,35,21,30,7,1],[1,105,175,315,140,126,105,630,120,315,70,126,
105,70,140,105,35,70,126,120,210,210,105,70,35,42,21,35,21,15,15,7,1],[1,105,
175,315,140,126,105,630,120,315,70,126,105,175,35,105,35,70,126,120,105,315,
105,70,35,63,35,21,15,15,7,1],[1,45,126,10,30,63,135,54,567,90,90,180,300,30,
810,60,162,135,81,81,81,243,54,81,81,40,45,45,18,72,54,54,270,108,54,270,540,
72,18,54,54,162,81,81,81,81,81,81,81,5,5,360,405,405,45,45,60,60,60,60,120,
120,54,54,162,18,72,54,54,108,54,54,54,54,10,30,81,1,6,6,9,18,18,36,180,180,
360,45,45,9,9,18,18,54,54,108,54,54,30,90,10,10,20,30,30,60,6,9,9,9,9,6,9,9,9,
9,9,18,9,9,9,9,9,54,54,18,18,18,1,2,6,2,2,6,6,2,2,6,6,18,18,36,30,30,60,9,9,9,
9,9,9,9,9,9,9,9,9,9,9,1,5,5,2,6,6,2,6,18,6,6,6,6,6,6,6,6,9,9,2,6,5,1,1,2,2,6,
6,2,1,1,1,1,1,1,1,2,2,2,1,1,1,1,1,1,1,1],[1,99,112,294,329,336,224,64,134,14,
84,84,189,630,112,112,112,112,64,8,21,21,84,42,189,42,84,252,64,84,56,224,224,
112,7,84,63,21,84,42,42,64,28,56,28,56,84,56,112,8,7,28,21,21,42,7,28,56,8,21,
8,8,7,7,7,7,8,8,8,7,7,1],[1,99,112,294,329,336,224,64,134,14,84,84,189,630,
112,84,112,112,112,64,8,21,21,84,42,189,42,84,252,64,56,112,168,140,112,7,84,
63,21,84,42,42,64,7,56,28,28,84,8,7,28,21,21,42,7,21,14,28,8,21,16,8,7,7,7,7,
7,7,8,7,7,1,1],[1,31,120,20,20,16,60,15,420,36,20,140,120,120,100,60,40,90,15,
60,60,45,90,45,45,180,60,90,45,90,10,36,72,20,80,60,140,60,120,20,180,120,80,
20,60,60,60,15,60,45,90,15,60,90,30,45,90,45,45,90,90,45,45,90,90,90,90,45,90,
10,10,10,40,40,36,36,36,15,15,60,60,60,20,80,60,60,120,60,60,60,60,15,15,45,
45,90,45,90,45,90,45,90,40,40,10,10,10,20,20,20,20,36,36,36,15,15,30,15,15,15,
15,15,15,30,15,15,60,60,45,10,10,10,10,10,10,10,20,20,20,20,36,15,15,30,15,15,
15,30,15,15,15,15,15,6,6,10,10,10,10,10,10,10,15,15,6,6,6,6,6,6,10,6,6,1,1,1,
1,1],[1,81,10,138,243,162,162,1080,76,126,270,45,72,81,243,90,270,81,108,108,
1188,19,30,30,20,30,40,24,24,24,24,54,54,81,99,18,270,180,270,360,108,1,40,8,
12,24,24,48,54,54,9,54,108,9,120,36,72,1,4,8,9,1,12,1,3,1,1],[1,81,10,138,243,
162,162,1080,76,126,270,45,72,81,243,90,270,81,108,108,1188,19,30,30,20,30,40,
24,24,24,24,27,81,81,99,18,270,180,270,360,108,1,40,8,12,24,24,48,27,81,9,162,
9,120,36,72,1,4,8,9,1,12,1,3,1,1],[1,81,10,138,81,162,162,1080,76,126,270,45,
72,162,162,90,270,81,108,108,1188,19,30,30,20,30,40,24,24,24,24,9,27,81,99,18,
270,180,270,360,108,1,40,8,12,24,24,48,18,18,27,54,9,120,36,72,1,4,8,9,1,12,1,
1,1,1],[1,81,10,138,243,162,162,1080,76,126,270,45,72,81,243,90,270,81,108,
108,1188,19,30,30,20,30,40,24,24,24,24,27,81,162,81,99,18,270,180,270,360,108,
1,40,8,12,24,24,48,27,9,27,54,9,120,36,72,1,4,8,9,1,12,1,1,1,1],[1,81,10,138,
243,162,162,1080,76,126,270,45,72,81,243,90,270,81,108,108,1188,19,30,30,20,
30,40,24,24,24,24,270,81,99,18,270,180,270,360,108,1,40,8,12,24,24,48,27,90,9,
120,36,72,1,4,8,9,1,12,1,1,1,1],[1,81,10,138,729,162,162,1080,76,126,270,45,
72,486,486,90,270,81,108,108,1188,19,30,30,20,30,40,24,24,24,24,81,243,486,81,
99,18,270,180,270,360,108,1,40,8,12,24,24,48,27,108,54,162,9,120,36,72,1,4,8,
9,1,12,1,3,1,1],[1,81,162,10,138,729,162,162,648,324,54,1134,1080,76,126,270,
45,72,486,486,1944,90,9,270,396,486,405,81,162,108,108,108,108,324,1188,648,
72,19,30,30,20,30,40,24,24,24,24,324,324,324,972,81,162,33,90,99,18,270,36,72,
180,270,360,81,54,108,72,72,72,72,72,72,72,1,40,8,12,24,24,48,108,54,81,108,
108,216,1,9,9,12,24,120,24,72,36,36,72,72,1,4,8,9,36,72,1,6,4,12,12,24,1,3,12,
1,1,1,1],[1,25,25,125,1,30,25,125,25,30,125,25,25,150,125,6,25,25,30,25,30,25,
1,1,1,1,1,1,1,1],[1,25,150,25,75,125,375,1,30,25,250,375,25,150,30,30,150,25,
125,125,25,25,30,150,75,150,75,125,6,25,50,75,150,6,30,30,25,25,25,30,30,30,
25,1,30,1,6,1,1,3,3,1,2,3,1,1,1,1],[1,25,25,125,1,30,25,375,25,30,125,25,25,
150,125,6,25,75,30,25,30,25,1,1,1,1,1,3,1,1],[1,45,126,10,30,135,135,405,81,
90,90,180,300,30,810,60,405,40,45,45,81,81,81,45,45,270,270,540,135,135,5,5,
360,405,405,45,45,60,60,60,60,120,120,81,81,81,135,135,10,30,15,15,180,180,
360,45,45,45,45,81,30,90,10,10,20,30,30,60,45,45,1,15,15,5,5,30,30,60,1,5,5,
15,15,5,5,5,1,5,1,1,1,1,1,1,1],[1,81,162,1,120,243,243,729,81,648,54,648,1080,
81,729,729,40,90,270,81,243,1944,243,243,90,270,72,162,162,216,1080,648,81,
243,243,10,30,20,30,40,270,54,54,324,648,162,81,6,90,270,72,180,270,360,54,72,
72,72,162,162,40,108,54,54,90,54,54,108,108,216,24,120,72,54,36,54,54,1,72,1,
6,1,3,3,1,3,3,1],[1,81,108,1,120,162,81,486,81,432,36,432,1080,81,243,243,40,
90,270,162,1296,162,81,243,90,270,48,108,108,144,1080,432,81,81,81,10,30,20,
30,40,18,54,18,18,216,432,108,81,4,90,270,48,180,270,360,36,48,48,48,18,54,40,
72,18,54,18,18,36,18,36,108,72,144,16,120,48,18,18,18,18,18,1,48,18,1,4,2,1,2,
1,1,1,1],[1,81,1,120,729,81,1080,81,243,243,40,90,270,162,243,243,90,270,1080,
81,81,81,10,30,20,30,40,108,162,54,324,81,90,270,180,270,360,54,54,40,54,54,
18,54,108,54,108,120,18,18,36,18,1,1,2,3,1,1,1,1],[1,81,54,1,120,405,567,243,
81,216,18,216,1080,567,243,729,40,90,270,81,162,81,648,162,81,243,90,270,24,
54,54,72,1080,216,81,162,81,81,162,10,30,20,30,40,18,324,72,162,18,324,108,
216,54,81,2,90,270,24,180,270,360,18,24,24,24,72,162,54,54,54,108,40,36,18,54,
18,18,90,18,54,108,18,18,36,108,36,72,54,8,120,24,18,54,18,18,18,18,18,18,18,
1,24,18,1,2,1,2,2,1,1,2,1,1,1,2,1],[1,81,54,1,120,243,81,243,81,216,18,216,
1080,81,243,243,40,90,270,81,81,648,81,243,90,270,24,54,54,72,1080,216,81,81,
81,10,30,20,30,40,270,18,18,108,216,54,81,2,90,270,24,180,270,360,18,24,24,24,
18,54,40,36,18,18,90,18,18,36,36,72,8,120,24,18,18,18,1,24,1,2,1,1,1,1,1,1,
1],[1,81,108,1,120,567,486,81,432,36,432,1080,243,81,243,40,90,270,162,162,
1296,81,243,90,270,48,108,108,144,1080,432,81,81,81,10,30,20,30,40,72,162,18,
324,216,432,108,81,4,90,270,48,180,270,360,36,48,48,48,54,54,18,54,40,72,18,
18,18,54,108,36,18,36,72,144,54,16,120,48,18,18,18,18,18,1,48,18,1,4,2,1,2,1,
1,1,1],[1,81,1,120,162,243,81,1080,81,81,81,40,90,270,162,243,81,90,270,1080,
81,81,81,10,30,20,30,40,18,54,54,54,81,90,270,180,270,360,18,18,40,18,54,54,
54,54,108,108,120,36,18,18,18,1,1,2,3,1,1,1,1],[1,81,162,10,138,27,243,108,
1053,162,162,648,324,54,918,432,324,243,162,243,243,76,45,108,45,72,162,162,
54,27,108,486,216,108,486,1296,54,54,108,324,243,9,9,36,372,405,405,81,81,108,
108,108,108,324,540,432,24,108,324,54,27,81,162,162,162,81,162,162,162,10,12,
30,8,12,16,24,24,24,24,3,27,36,36,72,108,324,324,756,81,81,27,27,27,108,108,
216,81,162,30,90,18,18,36,36,48,24,36,48,54,54,108,48,48,48,24,24,24,24,18,27,
27,27,27,27,27,27,108,108,27,27,54,1,4,8,12,24,4,12,36,6,6,18,18,36,36,72,54,
54,108,36,72,27,27,27,1,9,9,4,12,4,12,36,12,24,24,6,12,36,18,18,18,18,18,4,4,
12,1,2,9,3,3,12,12,18,4,4,4,4,1,3,3,3,3,6,3,6,1,4,3,3,1,1,1,1],[1,81,1,120,
243,81,81,1080,40,90,270,81,81,81,90,270,1080,243,10,30,20,30,40,81,270,90,
270,180,270,360,81,40,90,120,1,1,1,1,1,1],[1,81,270,1,120,1215,81,81,1080,90,
1080,1080,40,90,270,81,486,405,3240,81,90,270,120,270,270,360,1080,1080,243,
10,30,20,30,40,81,162,540,1080,270,10,90,270,120,180,270,360,90,120,120,120,
81,40,180,90,180,360,40,120,120,1,120,1,10,5,1,1,2,1],[1,81,1,120,405,81,81,
1080,40,90,270,81,405,81,90,270,1080,81,10,30,20,30,40,81,90,90,90,270,180,
270,360,81,40,90,90,90,180,120,1,1,5,1,1,1],[1,135,10,300,135,486,270,270,990,
130,45,270,45,180,486,270,135,135,135,15,90,135,180,180,1170,10,30,30,20,30,
40,60,60,60,60,45,135,135,30,30,90,60,90,120,180,81,162,1,10,20,30,60,5,45,15,
10,30,60,10,5,5,10,6,10,6,5,1],[1,1,35,140,105,126,35,140,120,35,105,315,70,
126,210,420,105,120,315,70,126,120,35,105,70,35,105,105,70,126,120,105,105,
210,105,70,35,21,42,35,21,30,7,1],[1,105,126,175,105,315,140,735,126,105,630,
105,175,630,120,210,315,420,315,315,70,126,126,126,105,70,140,105,210,105,105,
630,105,35,105,120,315,70,280,126,126,126,120,35,105,105,140,210,210,105,210,
105,105,105,70,140,35,126,120,210,105,63,70,35,35,35,21,21,63,35,30,21,7,7,1,
1],[1,195,400,630,665,576,240,1440,270,30,180,180,405,1350,160,576,240,460,
1040,240,80,16,45,45,180,90,405,90,180,540,160,120,720,840,180,240,15,180,135,
45,180,90,90,160,80,80,120,20,180,60,180,96,192,192,15,60,45,45,90,80,36,15,
60,120,60,45,10,36,15,15,15,15,10,16,16,15,15,10,6,6,1],[1,81,37,192,243,405,
648,1080,81,184,234,270,180,288,243,90,270,324,432,432,1512,81,162,81,46,30,
120,20,30,40,96,96,96,96,54,54,126,72,270,180,270,360,432,81,4,40,32,48,96,96,
192,54,54,54,108,36,120,144,288,36,1,16,32,1,48,36,4,3,4,1,1],[1,81,10,138,
486,729,162,162,1080,729,76,126,270,45,72,162,486,486,486,90,270,81,108,108,
1188,486,19,30,30,20,30,40,24,24,24,24,27,351,81,243,486,81,162,99,18,270,180,
270,360,108,81,243,81,1,40,8,12,24,24,48,27,108,99,27,108,54,162,162,9,120,36,
72,27,108,1,4,8,9,18,1,12,9,1,1,3,3,1,3,1,1,1,1],[1,81,10,138,1215,162,162,
1080,729,76,126,270,45,72,648,486,486,90,270,81,108,108,1188,486,19,30,30,20,
30,40,24,24,24,24,162,324,54,648,81,162,99,18,270,180,270,360,108,162,162,81,
1,40,8,12,24,24,48,81,54,45,135,54,216,54,108,9,120,36,72,81,54,1,4,8,9,18,1,
12,9,1,4,3,1,3,1,1,1,1],[1,81,10,138,324,243,162,162,1080,243,76,126,270,45,
72,81,81,405,162,243,90,270,81,108,108,1188,243,81,19,30,30,20,30,40,24,24,24,
24,9,297,27,81,162,81,81,81,99,18,270,180,270,360,108,27,81,81,1,40,8,12,24,
24,48,18,18,54,27,90,9,27,54,54,9,120,36,72,9,27,27,1,4,8,9,9,9,1,12,9,1,1,1,
1,1,1,1,1,1,1],[1,81,162,10,138,243,243,729,162,162,648,324,54,1134,1080,729,
76,126,270,45,72,81,81,486,486,1944,243,243,90,9,270,396,486,405,81,162,108,
108,108,108,324,1188,648,72,243,243,19,30,30,20,30,40,24,24,24,24,27,81,27,81,
162,324,324,324,972,81,162,81,81,33,90,99,18,270,36,72,180,270,360,81,54,108,
72,72,72,72,72,72,72,81,81,81,1,40,8,12,24,24,48,108,27,81,27,9,9,27,54,54,81,
108,162,108,216,1,9,9,12,24,120,24,72,36,36,72,72,27,27,27,1,4,8,9,9,9,36,72,
1,6,4,12,12,24,9,1,1,3,3,12,1,1,1,3,1,1,1,1],[1,81,162,10,138,243,243,729,162,
162,648,324,54,1134,1080,729,76,126,270,45,72,81,81,486,486,1944,243,243,90,9,
270,396,486,405,81,162,108,108,108,108,324,1188,648,72,243,243,19,30,30,20,30,
40,24,24,24,24,270,54,54,324,324,324,972,81,162,81,81,33,90,99,18,270,36,72,
180,270,360,81,54,108,72,72,72,72,72,72,72,162,81,1,40,8,12,24,24,48,108,27,
54,54,90,9,54,81,108,54,108,108,216,1,9,9,12,24,120,24,72,36,36,72,72,27,54,1,
4,8,9,9,9,36,72,1,6,4,12,12,24,9,1,1,3,3,12,1,1,1,3,1,1,1,1],[1,81,162,10,138,
81,729,729,162,162,648,324,54,1134,1080,729,76,126,270,45,72,486,486,486,486,
1944,162,162,90,9,270,396,486,405,81,162,108,108,108,108,324,1188,648,72,486,
486,19,30,30,20,30,40,24,24,24,24,9,27,81,243,486,324,324,324,972,81,162,81,
81,33,90,99,18,270,36,72,180,270,360,81,54,108,72,72,72,72,72,72,72,81,81,81,
1,40,8,12,24,24,48,108,18,18,27,27,108,54,162,54,81,108,54,108,216,1,9,9,12,
24,120,24,72,36,36,72,72,54,27,54,1,4,8,9,9,9,36,72,1,6,4,12,12,24,9,1,3,1,3,
12,1,1,1,3,1,1,1,1],[1,81,10,138,324,243,162,162,1080,243,76,126,270,45,72,81,
81,405,162,243,90,270,81,108,108,1188,243,81,19,30,30,20,30,40,24,24,24,24,36,
108,54,54,81,81,81,99,18,270,180,270,360,108,54,81,1,40,8,12,24,24,48,18,45,
108,54,54,9,9,54,108,216,9,120,36,72,9,54,54,1,4,8,9,9,9,1,12,9,1,4,3,1,3,1,1,
1,1],[1,25,150,25,75,125,375,1,30,25,250,125,375,375,25,150,30,30,150,25,125,
125,25,375,25,30,150,75,150,75,125,125,125,6,25,50,25,75,75,150,125,6,30,30,
25,25,25,75,30,30,30,25,25,25,1,30,25,1,6,1,1,3,3,1,2,1,3,3,1,1,1,3,1,1,1,1],[
1,63,28,336,252,63,252,336,288,63,378,189,189,112,252,252,63,63,189,336,288,
63,252,252,28,189,63,63,28,63,63,28,36,28,1],[1,81,162,1,120,405,729,729,81,
648,54,648,1080,81,567,243,81,243,1215,729,40,90,270,81,162,243,1944,162,243,
243,81,243,243,243,243,243,90,270,72,162,162,216,1080,648,81,81,243,162,81,81,
243,162,81,10,30,20,30,40,243,18,324,108,162,54,324,324,648,162,81,81,81,81,
81,81,81,6,90,270,72,180,270,360,54,72,72,72,72,162,54,54,18,162,54,216,40,81,
108,18,54,54,54,90,18,54,108,54,54,108,108,108,216,54,54,24,120,72,18,54,18,
18,54,36,18,18,18,54,18,18,18,54,1,72,18,18,18,1,6,1,2,2,3,3,1,2,1,1,1,1,3,3,
2,1,1,1,1,1,1,1,1],[1,165,220,495,330,396,660,880,165,495,495,55,396,144,330,
660,495,55,220,396,165,330,110,55,110,165,144,66,132,55,55,55,66,55,11,12,11,
1],[1,81,270,1,120,243,405,1215,81,81,1080,90,1080,1080,1215,40,90,270,81,486,
81,405,3240,405,81,90,270,120,270,270,360,1080,1080,81,243,243,405,10,30,20,
30,40,81,162,270,90,90,540,1080,270,243,10,90,270,120,180,270,360,90,120,120,
120,81,81,81,270,40,180,90,90,90,90,90,180,180,360,81,40,120,120,90,1,120,1,
10,1,5,5,1,5,1,2,1,1,1,1],[1,81,1,120,405,81,81,1080,1215,40,90,270,81,405,81,
90,270,1080,81,405,10,30,20,30,40,81,90,90,243,90,270,180,270,360,81,40,90,90,
90,180,81,120,90,1,1,5,1,5,1,1,1],[1,81,1,120,405,81,81,1080,405,40,90,270,81,
405,81,90,270,1080,81,405,10,30,20,30,40,81,90,90,81,90,270,180,270,360,81,90,
40,90,90,90,180,81,120,90,1,1,5,1,5,1,1,1],[1,135,216,10,300,135,1620,486,270,
270,1350,360,90,1080,990,405,130,45,270,45,180,486,486,486,270,135,135,810,
270,135,810,2430,135,405,15,15,90,390,405,405,135,135,180,180,180,180,630,
1170,1080,60,486,135,405,405,10,30,30,20,30,40,60,60,60,60,45,45,90,270,540,
540,1350,135,135,135,135,135,270,30,90,30,30,90,60,120,60,90,120,90,90,180,
120,120,120,60,60,60,60,81,162,135,135,135,1,10,20,30,60,5,15,90,45,45,90,90,
90,180,90,180,81,1,15,15,10,30,10,30,90,30,60,60,15,45,10,5,15,5,10,15,30,30,
6,10,10,10,5,15,6,6,6,5,10,6,5,1,1],[1,1,210,35,140,21,105,105,126,35,140,840,
210,280,120,35,105,105,105,315,315,315,70,126,252,35,210,420,140,105,210,105,
420,120,120,120,105,105,315,105,315,315,315,70,280,126,126,126,120,35,105,70,
35,105,105,210,105,105,105,210,105,420,120,315,70,140,140,126,126,126,120,120,
120,35,105,105,210,105,105,35,105,105,105,105,105,105,105,70,70,70,35,126,120,
105,105,105,21,42,70,35,35,35,21,21,42,21,35,30,21,7,7,1,1],[1,81,37,192,486,
243,405,648,1080,81,243,243,184,234,270,180,288,324,486,243,243,90,270,324,
432,432,1512,81,162,81,243,243,46,30,120,20,30,40,96,96,96,96,54,162,54,54,
324,81,243,126,72,270,180,270,360,432,54,54,81,4,40,32,48,96,96,192,54,162,54,
54,36,54,108,324,81,36,120,144,288,36,54,54,54,1,16,32,36,1,48,36,4,6,3,4,1,3,
3,4,3,1,1],[1,81,37,192,1701,405,648,1080,81,729,729,184,234,270,180,288,1458,
1944,243,729,90,270,324,432,432,1512,81,162,81,243,243,46,30,120,20,30,40,96,
96,96,96,216,486,54,972,324,243,486,243,126,72,270,180,270,360,432,162,162,81,
4,40,32,48,96,96,192,54,54,54,270,216,324,54,108,81,36,120,144,288,54,54,36,
54,1,16,32,36,1,48,36,4,6,3,4,1,3,3,4,3,1,1],[1,81,162,37,192,243,243,729,405,
648,648,54,648,1080,81,729,729,184,234,270,180,288,81,243,1944,972,243,243,90,
270,72,162,324,162,432,432,216,1512,648,81,162,81,243,243,46,30,120,20,30,40,
96,96,96,96,270,54,54,324,648,162,324,243,81,6,126,72,270,72,180,270,360,54,
432,72,72,72,162,162,81,4,40,32,48,96,96,192,108,108,54,54,90,54,54,108,108,
216,81,36,24,120,72,144,288,54,36,54,54,1,16,32,36,72,1,6,48,36,4,1,3,3,4,1,3,
3,4,1,1,1],[1,81,162,10,138,567,1215,729,162,162,648,324,54,1134,1080,1215,
729,2187,76,126,270,45,72,162,648,486,486,486,1944,648,162,486,729,90,9,270,
396,486,405,81,162,108,108,108,108,324,1188,648,72,486,648,486,486,972,486,19,
30,30,20,30,40,24,24,24,24,36,378,162,324,54,648,324,324,324,972,81,162,81,81,
162,162,486,33,90,99,18,270,36,72,180,270,360,81,54,108,72,72,72,72,72,72,72,
162,324,162,162,162,324,81,81,81,162,162,1,40,8,12,24,24,48,108,18,45,135,81,
54,99,45,135,54,216,54,81,108,54,108,216,108,216,162,81,1,9,9,12,24,120,24,72,
36,36,72,72,45,135,81,54,54,81,81,81,54,81,1,4,8,9,9,9,18,18,36,72,81,1,6,4,
12,12,24,9,9,9,18,18,1,1,4,4,3,3,12,9,1,1,1,4,3,3,3,6,1,1,1,1,1,1,1,3,1,1,1,1,
1,1,1,1],[1,63,252,28,336,126,252,63,1134,252,1008,336,1008,336,288,252,63,63,
378,378,189,378,378,567,189,756,112,252,504,1008,504,252,288,63,63,189,126,
378,378,189,189,378,378,378,378,112,336,336,288,63,252,252,252,252,252,252,28,
63,63,189,189,189,189,189,336,288,126,63,126,63,252,252,28,112,189,63,63,63,
63,63,63,28,56,56,36,63,63,28,28,28,36,28,1,1],[1,165,166,220,495,495,330,
1155,396,660,880,220,660,880,330,495,165,495,495,495,990,495,495,55,396,396,
396,144,330,880,660,660,1320,660,165,495,495,495,495,495,495,55,55,55,220,220,
396,396,396,144,165,660,330,330,330,495,55,110,110,55,110,110,220,55,220,396,
165,165,165,330,144,66,132,110,55,55,55,55,110,55,55,55,110,110,165,144,66,
132,66,66,55,55,55,55,55,55,55,66,55,11,12,11,11,11,12,11,1,1],[1,81,270,1,
120,243,405,1215,81,81,1080,90,1080,1080,405,1215,1215,40,90,270,81,486,81,
405,3240,405,81,1215,90,270,120,270,270,360,1080,1080,81,243,243,405,405,405,
10,30,20,30,40,81,162,270,90,90,540,1080,270,81,243,243,405,10,90,270,120,180,
270,360,90,120,120,120,81,81,81,90,270,243,40,180,90,90,90,90,90,180,180,360,
81,81,81,40,120,120,90,90,90,81,1,120,1,10,1,5,5,1,5,5,5,1,2,5,1,1,1,1,1,1,
1],[1,315,1120,1890,1365,2016,3360,960,630,1260,945,3780,280,2016,1680,5040,
42,315,315,945,1890,280,960,3360,1680,630,945,560,280,420,1260,336,1344,672,
105,280,252,420,252,120,240,105,56,112,42,1],[1,315,1120,1890,1365,2016,3360,
960,630,1260,945,3780,280,2016,1680,5040,42,315,315,945,1890,280,960,3360,
1680,630,945,280,560,420,1260,672,1008,672,105,280,252,420,252,120,240,105,56,
112,42,1],[1,81,162,37,192,729,1701,729,405,648,648,54,648,1080,81,1701,729,
243,729,2187,729,184,234,270,180,288,405,1458,1944,243,1944,1458,243,729,243,
729,243,729,729,729,90,270,72,162,324,162,432,432,216,1512,648,81,162,81,243,
243,1458,243,243,243,486,243,46,30,120,20,30,40,96,96,96,96,729,54,432,216,
486,54,972,324,648,162,324,648,81,243,486,243,81,243,243,243,243,243,243,6,
126,72,270,72,180,270,360,54,432,72,72,72,216,486,162,162,54,162,162,324,324,
81,4,40,32,48,96,96,192,243,243,108,54,270,54,54,126,54,270,216,324,54,54,108,
324,108,216,162,162,81,81,81,36,24,120,72,144,288,54,270,54,54,54,36,54,54,54,
54,54,54,54,54,1,16,32,81,36,72,72,54,54,54,1,6,48,36,36,4,1,6,6,3,3,4,1,6,3,
3,3,3,3,3,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,315,40,360,1890,1485,1296,
360,2520,1680,540,90,1215,4050,160,120,240,960,1296,1080,810,1800,1080,1080,
27,270,1215,1215,120,720,960,960,480,1296,90,720,360,1620,1350,1080,40,40,320,
45,405,405,360,480,720,270,270,270,810,120,40,240,432,135,360,360,162,160,90,
90,270,40,120,120,120,432,162,160,45,135,40,120,45,40,36,45,40,40,36,27,1],[1,
405,10,1110,3645,810,2916,810,810,10260,3645,400,855,2700,45,720,2916,2430,
2430,1620,810,810,810,855,2700,405,540,540,10800,2430,4860,2430,100,300,30,
200,300,400,240,240,240,240,810,2025,4860,270,405,810,810,900,90,2700,1800,
2700,3600,540,972,1944,405,405,810,1,400,80,120,240,240,480,30,270,810,270,
1620,270,45,1200,360,720,270,10,40,80,30,30,60,45,162,81,162,324,36,10,120,45,
90,180,10,36,30,30,10,30,10,12,1],[1,81,91,300,1215,486,891,1620,1080,405,400,
450,270,450,720,486,810,1215,486,90,270,810,1080,1080,2160,486,405,810,405,
100,30,300,20,30,40,240,240,240,240,486,270,270,810,180,180,270,180,270,360,
1080,486,405,10,40,80,120,240,240,480,270,270,90,270,540,81,90,120,360,720,
180,1,40,80,90,81,1,120,180,10,15,6,10,5,6,10,6,5,1],[1,315,336,1120,1890,
1365,2520,2016,3360,1120,3360,960,630,420,1260,630,630,945,1260,3780,1260,280,
2016,2016,2016,1680,5040,3360,960,42,315,315,945,630,630,1260,1260,1890,1260,
1260,280,1120,2016,960,3360,1680,1680,105,630,315,945,630,630,560,280,560,960,
420,1260,336,1344,672,105,315,315,280,280,280,252,420,420,336,105,280,252,120,
240,105,120,56,112,105,56,42,1,1],[1,315,336,1120,1890,1365,2520,2016,3360,
1120,3360,960,630,420,1260,630,630,945,1260,3780,1260,280,2016,2016,2016,1680,
5040,3360,960,42,315,315,945,630,630,1260,1260,1890,1260,1260,280,1120,2016,
960,3360,1680,1680,105,630,315,945,630,630,280,560,560,960,420,1260,672,1008,
672,105,315,315,280,280,280,252,420,420,336,105,280,252,120,240,105,120,56,
112,105,56,42,1,1],[1,435,1120,3150,2625,2016,3360,4480,960,1050,630,1260,
1260,3465,8190,280,2016,1680,5040,3360,960,42,315,315,1260,1890,3465,630,1260,
3150,280,1120,2016,960,5040,3360,1680,315,1050,945,315,1890,630,630,560,280,
560,960,420,1260,1680,336,1344,672,105,630,315,315,630,280,280,280,252,420,
420,840,336,672,315,280,252,120,240,105,420,252,120,56,112,105,56,42,42,1,1],[
1,211,56,560,1470,945,336,56,3920,1120,960,450,70,1260,1260,945,3150,280,336,
560,1680,840,560,840,1680,960,336,30,315,315,1260,210,945,630,1260,1890,280,
1120,336,960,70,1260,560,280,1680,840,840,2520,1680,336,35,630,945,315,630,
630,630,280,560,560,1008,960,420,420,1680,420,210,840,1260,840,840,840,240,
336,105,210,315,315,630,280,280,280,280,70,70,210,210,420,840,240,56,168,336,
315,280,280,120,240,105,70,210,210,210,168,168,35,120,240,240,56,105,210,35,
70,28,56,35,28,30,8,1],[1,315,280,1120,1260,1890,1365,1260,2016,1120,3360,
3360,960,630,1890,1260,3780,945,3780,1260,1890,3780,280,2016,1680,5040,3360,
960,42,315,315,1260,1260,1890,945,1890,3780,1890,3780,280,280,280,2016,960,
1680,3360,1680,315,630,945,945,1890,1890,280,560,560,280,280,960,420,1260,336,
1344,672,105,945,945,560,280,280,280,560,252,1260,420,336,315,280,252,120,240,
105,120,240,56,112,105,56,112,42,1,1],[1,435,1120,3150,2065,2016,3360,6720,
960,750,210,420,1260,2205,6930,1120,2016,3360,1820,2800,3360,1120,960,36,105,
105,1260,630,2205,630,1260,2520,1120,2016,960,420,840,5040,5880,2100,3360,105,
840,315,315,1260,630,630,1120,1120,960,210,420,840,420,420,420,420,1260,2100,
120,336,672,1008,35,420,315,315,630,1120,126,105,210,420,840,420,1260,120,336,
336,315,210,126,120,240,120,35,35,70,105,210,105,210,105,210,126,120,120,120,
112,112,105,105,210,105,35,70,21,42,35,15,21,16,15,15,7,1],[1,405,10,1110,
6075,810,2916,810,810,10260,3645,3645,3645,400,855,2700,45,720,2916,3240,2430,
1620,810,810,2430,810,3645,855,2700,405,540,540,10800,2916,2430,4860,2430,
2430,100,300,30,200,300,400,240,240,240,240,1350,2835,540,6480,270,405,810,
810,810,900,90,2700,1800,2700,3600,540,972,1944,1215,1620,405,405,405,405,405,
810,1,400,80,120,240,240,480,30,540,540,360,1080,270,2160,270,540,1080,405,
405,45,1200,360,720,540,540,270,10,40,80,30,30,60,45,90,162,81,162,324,36,10,
120,45,45,45,90,180,81,162,10,36,40,30,30,45,10,36,30,30,10,10,10,12,10,1,1],[
1,405,10,1110,2430,3645,810,2916,810,810,10260,3645,3645,3645,400,855,2700,45,
720,2916,810,2430,2430,1620,810,810,2430,810,3645,855,2700,405,540,540,10800,
2916,2430,4860,2430,2430,100,300,30,200,300,400,240,240,240,240,270,3240,810,
2025,4860,270,405,810,810,810,900,90,2700,1800,2700,3600,540,972,1944,810,
2025,405,405,405,405,405,810,1,400,80,120,240,240,480,30,270,810,900,270,810,
270,1620,270,1620,405,405,45,1200,360,720,270,810,270,10,40,80,30,30,60,45,90,
162,81,162,324,36,10,120,45,45,45,90,180,162,81,10,36,10,30,30,30,45,10,36,30,
30,10,10,10,12,10,1,1],[1,81,810,91,300,243,1215,3645,486,891,1620,3240,2970,
540,8100,1080,405,3645,3645,400,450,270,450,720,486,2916,81,810,3645,4860,
9720,2430,1215,486,1215,90,90,270,3600,4050,4050,810,810,1080,1080,1080,1080,
2160,2160,3240,720,486,1458,1458,405,810,405,1215,1215,2430,100,30,300,20,30,
40,240,240,240,240,486,972,270,270,270,1620,3240,3240,6480,810,810,810,810,
1458,1215,405,300,900,180,180,270,360,360,180,270,360,540,540,1080,360,360,
360,720,720,720,720,486,486,486,810,810,405,810,10,40,80,120,240,240,480,540,
270,270,270,90,90,540,540,1080,270,540,540,1080,81,486,405,10,90,90,120,120,
120,240,360,360,360,720,720,270,180,270,270,270,243,1,40,80,90,90,90,360,360,
81,1,30,40,120,120,240,90,180,81,10,1,15,15,120,6,10,10,10,5,15,15,6,12,10,10,
10,5,6,6,6,5,10,6,5,1,1],[1,81,91,300,3645,486,891,1620,1080,405,3645,3645,
400,450,270,450,720,486,4050,4860,3645,486,3645,90,270,810,1080,1080,2160,486,
405,810,405,3645,1215,100,30,300,20,30,40,240,240,240,240,486,540,810,270,
1620,810,1620,1458,1215,2430,1215,180,180,270,180,270,360,1080,486,810,810,
810,405,10,40,80,120,240,240,480,540,270,180,540,540,540,270,540,81,486,405,
90,120,360,720,540,270,180,270,243,1,40,80,90,180,81,1,120,90,180,81,10,10,15,
6,10,5,15,15,6,10,10,10,15,6,5,10,6,5,1,1],[1,81,91,300,810,1215,486,891,1620,
1080,405,1215,1215,400,450,270,450,720,486,810,810,1620,1620,1215,486,1215,90,
270,810,1080,1080,2160,486,405,810,405,1215,810,1215,100,30,300,20,30,40,240,
240,240,240,486,90,270,270,270,810,810,810,486,405,1215,180,180,270,180,270,
360,1080,486,270,270,405,810,10,40,80,120,240,240,480,180,180,270,270,270,90,
90,270,540,540,81,486,405,90,120,360,720,90,180,270,270,270,81,1,40,80,90,90,
90,81,1,120,90,180,81,10,10,15,6,10,5,15,15,6,10,10,10,15,6,5,10,6,5,1,1],[1,
405,486,10,1110,405,3645,810,6075,2916,810,810,4860,540,270,4050,10260,2430,
3645,2430,3645,3645,400,855,2700,45,720,2916,2916,2916,2430,2430,1620,810,810,
2430,1620,810,2430,14580,810,810,810,2430,3645,855,45,2700,720,1215,405,405,
1215,540,540,540,540,2160,10800,6480,720,2916,810,2430,810,810,2430,4860,2430,
2430,2430,2430,2430,2430,100,300,30,200,300,400,240,240,240,240,45,270,810,
2025,4860,270,270,540,3240,1620,1620,6480,405,1215,405,405,810,810,810,1620,
2430,2430,60,90,900,90,2700,180,720,1800,2700,3600,540,270,540,720,720,720,
720,720,720,720,972,1944,270,405,405,405,405,405,810,405,810,810,810,810,810,
810,1,400,80,120,240,240,480,30,90,1080,90,90,270,270,810,270,1620,270,270,
540,270,540,540,540,1080,2160,972,405,405,810,1,45,45,120,240,1200,240,720,
360,360,720,720,90,90,270,270,270,270,270,270,270,10,40,80,30,90,30,60,45,45,
45,360,720,162,81,162,324,36,270,10,60,40,120,120,240,30,30,45,45,45,90,180,
90,90,81,10,36,36,36,30,10,30,30,120,45,90,10,10,10,36,30,30,30,30,10,10,10,
30,12,10,12,1,1],[1,435,616,1120,1260,3150,2625,7140,2016,3360,4480,1120,3360,
4480,960,1050,2940,630,1890,1260,630,1260,4410,3465,6300,3780,3150,8190,3780,
280,2016,2016,2016,1680,5040,4480,3360,3360,6720,3360,960,960,960,42,315,315,
1260,630,1260,1890,1260,3150,1260,3465,1890,3780,630,3150,1890,1260,1260,4410,
1890,1260,1260,1260,1260,3150,1890,1260,6300,280,280,280,1120,1120,2016,2016,
2016,960,3360,1680,5040,3360,1680,1680,960,315,630,105,315,1050,630,630,315,
945,945,315,630,1890,630,1260,630,1260,1890,630,3150,1260,630,1890,1890,1260,
630,1890,280,560,560,280,560,560,1120,280,1120,2016,960,960,960,420,1260,1680,
1680,336,1344,672,105,630,630,315,945,315,315,315,945,630,630,630,630,630,630,
560,280,280,280,280,560,280,280,280,560,560,252,960,420,420,1260,420,840,336,
336,336,672,105,315,315,315,315,315,315,280,280,280,280,280,280,280,252,120,
240,105,420,420,336,315,280,252,120,240,120,120,56,112,105,105,105,120,56,56,
112,56,105,42,56,42,1,1,1,1,1],[1,211,840,56,560,28,1470,945,5460,336,56,3920,
3360,1680,2800,1680,1120,960,450,1260,70,210,1260,1470,1260,1890,945,1260,420,
3150,3150,3780,280,336,2016,56,560,1680,840,3920,840,3360,560,5040,3360,560,
560,840,1680,1680,960,960,960,336,30,315,315,420,210,1260,210,420,630,420,945,
1890,1260,630,630,1890,1260,1260,630,630,3780,3780,1260,1260,1890,3150,1260,
3780,280,280,280,1120,1120,336,1008,1008,960,70,1260,560,280,840,1680,1680,
560,840,1680,560,840,840,840,1680,1680,840,2520,1680,1680,1680,960,336,672,35,
210,315,105,630,210,630,945,315,945,315,630,630,630,1260,1890,1260,630,630,
630,1260,630,630,630,1260,630,1890,1120,1120,280,280,280,560,560,560,560,336,
1008,1008,960,960,960,70,420,420,1680,210,1260,1260,420,210,420,420,280,840,
1260,420,840,840,840,840,840,840,840,840,1680,240,336,336,336,105,210,210,315,
315,315,945,945,315,630,630,630,630,630,630,280,280,280,280,280,280,280,280,
560,560,560,560,1008,960,70,70,210,210,420,420,210,420,210,420,210,210,420,
420,1260,420,420,840,840,240,56,168,336,336,336,315,105,315,315,315,315,315,
280,280,280,280,280,280,280,280,280,280,120,240,105,70,70,210,210,210,210,210,
210,210,210,420,56,168,168,168,168,168,336,315,35,280,280,120,120,120,240,240,
56,105,105,105,210,210,168,168,35,70,70,120,28,56,56,56,105,35,35,35,28,28,28,
56,35,30,28,8,8,1,1],[1,81,810,91,300,1053,3645,3645,486,891,1620,3240,2970,
540,8100,1080,405,3645,3645,1215,3645,10935,3645,400,450,270,450,720,486,2916,
891,4050,4860,3645,4860,9720,4050,1620,3645,486,3645,1215,3645,1215,3645,3645,
3645,90,90,270,3600,4050,4050,810,810,1080,1080,1080,1080,2160,2160,3240,720,
486,1458,1458,405,810,405,3645,1215,4050,3645,1215,3645,7290,4860,1215,100,30,
300,20,30,40,240,240,240,240,486,972,3645,90,540,540,810,270,1620,1620,3240,
3240,6480,810,810,810,810,1620,1620,486,1458,1458,405,1215,2430,1215,405,1215,
3645,1215,1215,1215,1215,300,900,180,180,270,360,360,180,270,360,540,540,1080,
360,360,360,720,720,720,720,486,486,486,540,810,810,810,270,810,810,1620,810,
810,810,405,1620,1620,1458,10,40,80,120,240,240,480,1215,1215,540,180,180,540,
540,270,180,180,540,540,540,540,540,1080,270,540,540,540,1080,81,486,486,486,
810,810,810,405,405,405,10,90,90,120,120,120,240,360,360,360,720,720,180,540,
540,270,270,180,270,540,540,540,540,540,270,270,270,81,243,243,486,1,40,80,
405,90,90,90,180,180,360,360,81,540,270,270,243,1,30,40,120,120,240,90,90,90,
180,180,180,81,81,81,10,1,10,10,15,15,120,6,90,81,10,10,10,5,10,15,15,15,15,
15,15,30,6,12,10,10,10,10,10,10,10,5,15,15,15,15,15,15,6,6,6,5,10,10,10,10,10,
10,10,15,6,6,6,5,5,5,10,6,5,1,1,1,1,1],[1,405,486,10,1110,2835,6075,810,6075,
2916,810,810,4860,540,270,4050,10260,2430,6075,3645,3645,3645,10935,2430,3645,
3645,400,855,2700,45,720,2916,2916,2916,810,3240,2430,1620,810,810,2430,1620,
810,2430,14580,3240,810,2430,810,2430,3645,3645,3645,3645,3645,3645,3645,855,
45,2700,720,1215,405,405,1215,540,540,540,540,2160,10800,6480,720,2916,2916,
2916,2430,810,2430,810,810,2430,4860,3240,2430,2430,4860,2430,2430,2430,2430,
2430,100,300,30,200,300,400,240,240,240,240,3645,315,3510,1350,2835,540,6480,
270,270,540,3240,1620,1620,6480,405,1215,405,405,810,810,810,810,810,1620,
2916,2430,2430,2430,60,90,900,90,2700,180,720,1800,2700,3600,540,270,540,720,
720,720,720,720,720,720,972,1944,1350,2835,1215,1620,405,405,270,405,405,405,
405,1215,2430,405,405,405,405,405,810,810,810,810,810,810,810,810,1,400,80,
120,240,240,480,30,90,1080,90,360,1080,540,540,900,360,1080,270,2160,270,270,
540,270,540,540,540,1080,2160,1080,2160,972,405,405,405,405,405,405,405,405,
405,1215,405,405,405,405,810,1,45,45,120,240,1200,240,720,360,360,720,720,360,
1080,540,540,90,90,270,540,270,270,540,540,540,270,540,270,10,40,80,405,405,
30,90,30,60,45,45,45,90,90,360,720,162,81,162,324,36,540,270,10,60,40,120,120,
240,30,30,45,45,45,45,45,45,45,90,90,180,90,90,90,81,162,81,162,81,10,36,36,
36,10,40,40,30,30,30,120,45,45,45,45,45,45,45,90,81,10,10,10,36,36,36,40,30,
30,30,60,30,30,30,45,10,10,10,10,10,10,10,36,30,30,12,10,10,10,10,10,10,10,12,
10,1,1,1,1,1],[1,525,1750,7875,1750,126,3780,5250,10500,6000,2625,7875,7875,
1750,3150,3780,5250,3500,1750,5250,1750,7875,1750,3150,18900,6000,2625,5250,
10500,5250,756,1750,3500,1750,3150,2625,3780,1050,2100,1750,1750,3780,525,
1050,2100,126,750,1500,525,126,175,350,126,175,350,126,50,100,1],[1,525,1050,
1750,525,7875,1750,13125,126,3780,5250,10500,5250,1750,10500,6000,5250,2625,
7875,7875,7875,5250,7875,7875,7875,1750,3150,6300,3780,1260,6300,5250,3500,
1750,5250,10500,5250,5250,10500,5250,1750,5250,6000,2625,7875,7875,7875,7875,
7875,7875,1750,7000,3150,1260,18900,3150,6300,3150,6000,2625,1750,5250,5250,
1750,5250,10500,5250,5250,5250,5250,5250,756,7875,1750,3500,3500,1750,3150,
3150,3150,6300,6000,2625,2625,2625,5250,5250,252,1260,3780,1050,2100,1750,
1750,1750,1750,1750,1750,3150,2625,3780,1260,1260,525,1050,1050,1050,2100,126,
1750,1750,750,1500,1260,525,525,525,1050,126,252,750,175,350,525,126,126,126,
175,175,350,175,126,126,126,175,126,50,100,50,1,1],[1,1155,6160,20790,9625,
22176,18480,36960,21120,4950,2310,13860,13860,17325,48510,6160,22176,8064,
18480,16940,43120,18480,6160,308,3465,3465,13860,6930,17325,6930,13860,27720,
6160,22176,21120,9240,55440,46200,13860,18480,1155,9240,10395,3465,13860,6930,
6930,6160,12320,6160,3850,9240,1540,13860,4620,13860,8064,2640,11088,14784,
11088,1155,4620,3465,3465,6930,6160,6160,4158,1155,2310,4620,9240,4620,3696,
3696,3465,770,4158,2640,7920,2640,1155,1155,2310,1155,1155,770,1386,1232,616,
2464,1155,1155,770,672,616,693,462,330,231,176,176,77,22,1],[1,2835,280,23520,
119070,31185,163296,22680,90720,241920,155520,17010,5670,102060,102060,76545,
255150,11200,20160,75600,5040,80640,163296,136080,272160,113400,226800,90720,
68040,90720,1134,25515,25515,102060,17010,76545,51030,102060,153090,20160,
75600,45360,60480,60480,302400,163296,155520,5670,45360,22680,408240,408240,
68040,68040,68040,272160,2800,8400,3360,5600,8400,11200,26880,26880,26880,
26880,2835,51030,76545,25515,51030,51030,51030,60480,90720,15120,272160,30240,
45360,90720,90720,22680,34020,136080,17010,22680,102060,68040,68040,68040,
25200,10080,75600,50400,75600,100800,60480,54432,163296,163296,8505,17010,
25515,25515,51030,45360,45360,45360,45360,22680,90720,40824,112,11200,8960,
13440,26880,26880,53760,5670,5670,17010,17010,34020,68040,68040,3360,15120,
15120,15120,45360,30240,90720,30240,15120,30240,54432,25515,11340,22680,40824,
5040,33600,40320,80640,19440,38880,38880,8505,5670,17010,17010,17010,15120,
15120,10080,30240,15120,280,4480,8960,2835,11340,3360,3360,6720,5040,4536,
13608,13608,18144,36288,8505,17010,4032,280,13440,2835,5670,11340,5040,10080,
20160,10080,4536,4536,4536,1120,4032,6804,6804,1680,840,3360,2835,1120,280,
840,840,3360,2592,2592,1120,840,1344,1134,280,540,280,162,162,252,112,1],[1,
2835,4536,280,23520,34020,119070,31185,102060,163296,22680,90720,181440,15120,
181440,241920,155520,17010,34020,5670,119070,102060,17010,102060,255150,76545,
306180,102060,153090,255150,102060,11200,20160,75600,5040,80640,163296,163296,
163296,22680,136080,272160,113400,226800,68040,90720,544320,136080,68040,
90720,155520,1134,25515,25515,102060,17010,102060,17010,102060,153090,34020,
76545,51030,102060,51030,153090,51030,102060,102060,255150,51030,102060,
102060,102060,102060,153090,51030,102060,306180,20160,75600,20160,45360,45360,
45360,60480,60480,60480,302400,181440,163296,163296,163296,155520,5670,45360,
22680,68040,68040,136080,408240,408240,136080,68040,68040,68040,136080,68040,
68040,136080,272160,2800,8400,3360,5600,8400,11200,26880,26880,26880,26880,
2835,17010,8505,25515,51030,17010,51030,25515,76545,76545,25515,51030,51030,
51030,102060,51030,102060,51030,51030,153090,102060,51030,153090,51030,102060,
51030,51030,15120,90720,60480,90720,15120,272160,30240,90720,181440,45360,
45360,90720,90720,90720,163296,155520,22680,5670,34020,136080,17010,17010,
34020,22680,22680,102060,68040,68040,136080,68040,68040,68040,68040,68040,
68040,1680,25200,10080,75600,20160,50400,75600,100800,15120,60480,20160,20160,
20160,54432,163296,163296,8505,17010,17010,25515,76545,25515,25515,25515,
76545,51030,51030,51030,51030,51030,51030,60480,90720,45360,45360,15120,45360,
45360,45360,45360,45360,90720,45360,45360,22680,90720,40824,112,11200,8960,
13440,26880,26880,53760,5670,5670,17010,17010,34020,17010,17010,34020,17010,
17010,34020,102060,34020,68040,68040,68040,3360,30240,15120,45360,15120,15120,
25200,15120,45360,30240,90720,30240,15120,15120,30240,90720,30240,60480,54432,
54432,54432,8505,25515,25515,25515,25515,25515,25515,11340,45360,45360,45360,
45360,22680,22680,22680,40824,5040,6720,33600,20160,40320,80640,19440,38880,
38880,8505,5670,5670,17010,17010,17010,17010,17010,17010,17010,17010,34020,
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2,2,2,2,2,1,1,2,7,7,7,7,7,7,2,7,7,7,35,37,36,34,35,37,1,1,5,5,5,5,4,5,5,38,10,
11,11,10,11,1,19,1,22,24,22,2,2,5,5,13,12,49,49,48,12,12,1,4,4,5,4,8,8,2,13,
13,1,1,1,1,4,4,4,4,4,4,1,19,1,64,2,2,8,2,8,2,2,2,8,8,8,8,8,7,7,7,7,7,7,7,7,7,
7,7,7,7,7,35,35,35,35,36,36,35,35,37,36,37,35,34,37,35,1,37,4,4,8,5,5,5,10,10,
10,11,19,19,19,65,117,118,117,119,117,118,118,118,22,24,22,12,8,66,24,24,48,
48,49,58,12,58,58,7,12,13,141,10,11,142,144,35,35,36,37,34,145,146,147,4,5,5,
34,34,34,38,38,38,38,44,20,4,265,266,267,10,64,8,7,20,28,28,28,28,28,28,20,28,
7,28,28,7,93,93,93,95,36,35,35,93,93,93,95,99,99,35,35,37,37,99,99,37,22,49,
35,37,201,37,12,59,13,65,39,1,4,4,34,34,34,34,19,155,22,22,117,117,118,117,
118,65,117,117,117,22,226,226,66,212,118,118,118,118,24,136,58,141,11,141,144,
144,143,35,35,35,35,36,142,142,142,144,143,35,35,37,144,142,144,146,145,146,
146,147,44,20,377,378,265,266,265,265,267,64,10,64,10,66,67,28,66,67,75,75,65,
185,185,185,185,186,93,198,198,198,198,93,35,37,99,99,305,120,117,201,314,316,
37,35,319,142,317,321,34,144,147,145,38,428,429,430,263,270,270,65,117,324,
212,221,324,117,212,221,155,117,221,71,226,118,141,244,244,244,246,245,246,
144,144,249,250,245,245,142,142,142,144,93,36,146,250,93,377,377,378,378,377,
378,265,153,4,34,34,387,141,164,155,395,185,305,198,314,144,144,351,351,316,
316,35,142,142,319,317,428,429,428,428,506,263,377,509,510,511,512,513,387,
432,433,433,270,432,270,332,324,221,316,244,245,358,370,377,378,479,142,316,
317,319,321,387,387,387,485,270,325,324,395,316,493,418,418,316,418,418,316,
316,316,493,494,351,244,245,458,561,428,563,510,509,377,511,510,511,509,512,
508,510,509,511,508,142,387,514,433,432,316,524,524,585,586,479,479,479,479,
479,351,480,387,387,387,485,541,432,485,485,433,479,418,418,496,496,496,496,
316,493,561,613,563,563,563,509,510,511,508,479,577,316,514,387,514,524,524,
524,585,531,531,531,531,479,479,531,479,479,592,493,491,482,541,540,479,603,
648,649,650,496,652,613,563,577,577,479,479,479,577,577,387,514,514,524,531,
590,590,531,531,590,590,592,479,603,603,677,678,648,680,631,621,621,531,577,
577,577,621,578,690,590,692,603,603,603,677,678,681,681,631,621,690,692,646,
705,706,681,708,709,710,705,706,705,714,705,716,709,709,710,710,710,709,705,
714,710,709,727,727,729,730,730,732,732],
[( 1,143)( 2,215)( 3,225)( 5,240)( 6,254)( 7,202)( 8, 18)( 9,145)
( 10, 78)( 11,246)( 12,133)( 13,168)( 14,148)( 15,259)( 16,214)( 17,120)
( 19,127)( 20,153)( 21,233)( 22, 56)( 23,245)( 24,247)( 25,181)( 26, 71)
( 27,253)( 29,265)( 30, 53)( 31, 57)( 32,114)( 33,221)( 34,271)( 35,219)
( 36,132)( 37,163)( 38,126)( 39,189)( 40, 73)( 41,164)( 43,256)( 44,159)
( 45,185)( 46,249)( 47,113)( 48,194)( 49,112)( 50,231)( 51, 65)( 52,149)
( 54, 86)( 55,129)( 58,224)( 59, 70)( 60,192)( 61, 90)( 62,108)( 63,223)
( 64,232)( 66,275)( 67, 68)( 69,125)( 72,267)( 74,238)( 75,270)( 76,119)
( 77,156)( 79,101)( 80,212)( 81,241)( 82,274)( 83, 91)( 84,186)( 85,239)
( 87,244)( 88,170)( 89, 97)( 92,203)( 93,151)( 94,179)( 95,196)( 96,137)
( 98,266)( 99,162)(102,140)(103,262)(104,216)(105,229)(106,141)(107,248)
(109,252)(110,115)(111,201)(116,144)(118,208)(121,211)(123,228)(124,191)
(128,188)(130,193)(131,272)(134,213)(135,205)(136,257)(138,230)(139,150)
(142,166)(146,182)(147,263)(154,227)(155,255)(157,242)(158,268)(160,269)
(161,190)(165,197)(167,184)(171,235)(172,261)(174,177)(175,210)(176,222)
(178,251)(180,236)(183,200)(195,273)(198,220)(199,250)(204,234)(206,217)
(207,264)(209,226)(237,260)(243,258),( 1,140, 67)( 3,111,170)( 4, 86,274)
( 5, 44,155)( 6,174, 42)( 7,233, 94)( 8, 69,215)( 9,249, 11)( 10,272,271)
( 12,172,105)( 13,173,136)( 14, 75,253)( 15, 58,144)( 16,101,201)( 17,139, 76)
( 18,269,240)( 19,238,225)( 20,135, 79)( 21,106,181)( 22,234, 39)( 23,255,256)
( 24,268,122)( 25,167,160)( 26,205,137)( 27,151,262)( 28, 35,154)( 29,217, 62)
( 30,142, 33)( 31, 97,115)( 32,275,157)( 34,198, 57)( 36,259,196)( 37,202, 59)
( 38,177,184)( 40,146,169)( 41, 95,203)( 43, 63,119)( 45,267, 93)( 46,242,223)
( 47,187,251)( 48,244,145)( 49,125, 77)( 50,179, 65)( 51,165,190)( 52,192,221)
( 53,153,239)( 54, 83,220)( 55, 98,206)( 56, 68,182)( 60,200,195)( 61,199,178)
( 64, 66,117)( 70,126,166)( 71,230,265)( 72,107,232)( 73,168,213)( 78,252,124)
( 80,216,133)( 81,247,227)( 82, 89,266)( 84,109,127)( 85,222,120)( 87,161,236)
( 90,207,103)( 91,185,188)( 92,138,260)( 96,147,159)( 99,104,245)(100,261,141)
(102,218,226)(108,219,270)(110,116,264)(112,164,197)(113,258,210)(114,162,132)
(118,228,128)(121,209,156)(123,194,257)(129,163,152)(130,180,183)(131,224,229)
(134,235,212)(150,186,191)(171,273,243)(175,204,176)(189,254,250)
(211,231,241)],
[[[[]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,
-1],[5,2],[6,-2]]],[[[1,1,2,1],[3,2,1,1,2,-1,3,1,1,1],[4,-3]]],[[[1,1,2,-1,1,
1,2,-1,1,1,2,-1,1,1],[3,5]]],[[[1,1,2,1],[3,2,1,1,2,-1,3,1,1,1],[4,2]]],[[[1,
1,2,1],[1,1,2,-1],[2,1,1,1,3,-2,4,-1,3,-1,4,-2,2,1],[5,5]]],[[[1,1,2,1],[2,1,
1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2]]],[[[1,1,2,1],[2,
1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,
1,1,2,-1,7,1,1,1],[6,-2],[9,1,8,1,6,1,8,-1,9,1,6,1,8,2]],[[1,1,2,1],[2,1,1,
1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,
2,-1,7,1,1,1],[8,1,6,1,8,1,6,-2,8,-1,6,1,8,-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,
4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,
1,1],[6,-2],[8,1,6,1,8,-1,9,1,6,1,8,2,9,1]],[[1,1,2,1],[3,2,1,1,2,-1,3,1,1,
1],[4,-3]]],[[[1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[3,3]]],[[[2,1,1,1],[2,-1,1,1,
2,-1,3,-2],[4,3],[1,1,2,1],[2,1,1,1],[6,2,7,-2,6,1,7,-1],[5,1,8,1],[9,2]]],[[[
1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,
1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,1,8,2,6,-1,8,-1,6,-2]]],[[[1,1,2,1],[2,1,
1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,
1,2,-1,7,1,1,1],[6,1,8,2,6,-2,8,1,6,-1,8,-1]]],[[[1,1,2,1],[3,2,1,1,2,-1,3,1,
1,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[
1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[6,1,7,1],[8,1,7,2,6,1,7,-2,8,-1]],[[1,1,2,-1,
1,1,2,-1,1,1,2,-1,1,1],[3,5]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,
5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[9,1,7,1,9,-3,7,1,9,
-1]],[[1,1,2,1],[3,2,1,1,2,-1,3,1,1,1],[4,-3]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,
-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,
1],[6,-1,8,-3,6,1]],[[1,1,2,1],[3,2,1,1,2,-1,3,1,1,1],[4,-3]]],[[[1,1,2,1],[2,
1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,
1,1,2,-1,7,1,1,1],[6,-2],[9,1,8,2,6,-2,8,-2,9,1]],[[1,1,2,1],[2,1,1,1],[2,-1,
4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,
1,1],[6,-2],[9,1,8,-1,9,1,8,1,9,1]]],[[[2,1,1,1],[2,-1,1,1,2,-1,3,-2],[4,3],[
1,1,2,1],[2,1,1,1],[6,2,7,-2,6,1,7,-1],[5,1,8,1],[9,4,8,1]]],[[[1,1,2,1],[2,1,
1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,
1,1,1],[7,1,9,1],[7,1,9,-2,10,2,9,1,7,1,9,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,
9,1],[9,2,10,1,7,1,9,-1,10,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,
5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,1],[9,1,10,1],[
10,1,11,1,7,1,9,-1,11,-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,
1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[8,1,6,1,
8,-1,9,1,6,1,8,2,9,1]],[[1,1,2,1],[3,2,1,1,2,-1,3,1,1,1],[4,-3]],[[1,1,2,1],[
2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,
2,1,1,2,-1,7,1,1,1],[8,1,6,1,8,1],[9,1,6,-2,9,-1]]],[[[1,1,2,1],[2,1,1,1],[1,
1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[
7,1,9,1],[9,2,7,1,9,-1,10,-1,9,-1,10,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,
1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,-2,7,
1,9,2,7,1,9,2]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,
3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[6,1,8,1],[9,1,8,1,9,
1,10,-2,8,-1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,
1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,1],[8,1,9,1,8,-1,6,-1,8,
1,9,-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,
-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[9,1,8,-1,6,-1,8,1,9,1]],[[
1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,
1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[8,-1,6,1,8,1]]],[[[2,1,1,1],[2,-1,1,1,2,
-1,3,-2],[4,3],[1,1,2,1],[2,1,1,1],[6,2,7,-2,6,1,7,-1],[5,1,8,1],[8,1,5,1],[5,
1,8,-1],[11,1,10,-2,8,-1,11,1,9,2,10,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,
1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,
2,6,-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,
-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,-1]]],[[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,
1,1],[9,2],[9,1,7,1,10,-1,7,1,9,1,10,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,
2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[9,-1,7,1,9,
1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[
5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,1],[9,1,6,-2,9,-1,8,-1]],[[1,1,2,
1],[3,2,1,1,2,-1,3,1,1,1],[4,-3]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,
2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[9,
1,8,2,6,-2,8,-2,9,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,
4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,1],[6,-2,9,-1,8,
1,9,1]]],[[[2,1,1,1],[2,-1,1,1,2,-1,3,-2],[4,3],[1,1,2,1],[2,1,1,1],[6,2,7,-2,
6,1,7,-1],[8,1,5,1],[9,1,8,-1,5,1,9,1,8,-1],[5,1,8,1],[10,1,11,-5,10,1]],[[2,
1,1,1],[2,-1,1,1,2,-1,3,-2],[4,3],[1,1,2,1],[2,1,1,1],[6,2,7,-2,6,1,7,-1],[5,
1,8,1],[9,-5]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,
3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,1,8,1,6,-2,8,2,6,
1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,
2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[9,1,8,-1,9,1,8,1]]],[[[1,1,2,1],[
2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,
2,1,1,2,-1,7,1,1,1],[6,1,8,1],[8,2,6,-1,9,2,6,-2,9,-1]],[[1,1,2,1],[2,1,1,1],[
2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,
7,1,1,1],[8,1,6,-1,8,1,6,-2,8,-1,6,1,8,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,
3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[
6,-2],[9,1,8,1,6,1,8,-2,6,-1,8,-1,9,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,
-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,
1,8,2,6,-1,8,-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,
-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,1,8,-1,6,-2,8,-1,6,
1,8,-1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,
-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,1,6,-2,8,-3,6,1]]],[[[1,1,2,
1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,
1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,1,8,-1,6,-2,8,-1,6,1,8,-1]],[[1,1,2,1],[2,1,
1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,
1,2,-1,7,1,1,1],[6,1,8,2,6,-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,
-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,1],[
6,1,8,-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,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,
8,1],[8,2,6,1],[10,1,9,1,10,1,9,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,
-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2,
8,-2]]],[[[1,1,2,1],[1,1,2,-1],[2,1,1,1,3,-2,4,-1,3,-1,4,-2,2,1],[5,2]]],[[[2,
1,1,1],[2,-1,1,1,2,-1,3,-2],[4,3],[1,1,2,1],[2,1,1,1],[6,2,7,-2,6,1,7,-1],[5,
1,8,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,
-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,1,8,1,6,-2,8,-1,6,1,8,
-1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,
2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,2,6,1,8,1,6,1,8,1,6,-2]]],[[[2,1,1,1],[
2,-1,1,1,2,-1,3,-2],[4,3],[1,1,2,1],[2,1,1,1],[6,2,7,-2,6,1,7,-1],[8,-2,5,1],[
9,6],[5,1,8,-1,5,1,8,1,5,1,8,-1],[11,1,10,1],[10,1,11,1,12,1,11,1,12,2]],[[2,
1,1,1],[2,-1,1,1,2,-1,3,-2],[4,3],[1,1,2,1],[2,1,1,1],[6,2,7,-2,6,1,7,-1],[5,
1,8,-1,5,1,8,1,5,1,8,-1],[9,4]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,
-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,1],[
8,2,6,-1,9,2,6,-2,9,-1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,
-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,1],[8,1,9,3,8,
2,6,-1]]],[[[1,1,2,1],[2,1,1,1,2,1,3,2],[4,1,2,1,1,1,4,-1],[5,-2]]],[[[1,1,2,
1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,
1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,1],[8,1,9,1,8,-1,6,-1,9,1,8,-1,6,-2]],[[1,1,
2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,
1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,1],[9,1,6,-1,8,2,6,1,9,1]]],[[[1,1,2,1],[2,1,
1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,
1,2,-1,7,1,1,1],[6,1,8,1],[6,-2,8,-1,9,-1,8,1,9,1]],[[1,1,2,1],[2,1,1,1],[2,
-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,
1,1,1],[6,-2,8,1,6,-1,8,1,6,1,8,-2]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,
-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,
-2],[9,1,8,2,6,-1,8,1,6,-1,8,-1,9,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,
-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,
-2],[8,1,6,1,8,1],[9,1,10,-2,9,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,
2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[8,
1,6,1,8,-1,9,1,6,1,8,2,9,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,
1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,2,6,1,8,1,6,1,
8,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,
-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[9,1,8,1,6,1,8,-2,6,-1,8,-1,
9,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[
5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[6,1,8,-1,9,1,8,-1,6,-1,9,
1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,
1,2,1],[8,2,1,1,2,-1,8,1,1,1],[9,1,7,1],[7,1,9,-1,7,1,9,2,10,2]],[[1,1,2,1],[
3,2,1,1,2,-1,3,1,1,1],[4,-3]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,
1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,-1,8,1,
6,1,8,2,6,-2]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,
1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-1,8,-3,6,1]]],[[[1,1,2,1],[
2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,
2,1,1,2,-1,7,1,1,1],[6,-2],[6,1,8,1],[9,1,8,1,10,1,9,1,10,-1]],[[1,1,2,1],[2,
1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,
1,1,2,-1,7,1,1,1],[8,2],[9,1,6,-2,9,-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,
1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,
-2,8,-2,6,-1,8,1,6,1,8,-1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,
2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,-1,8,-1],[9,
1,6,-2,9,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[
6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,1],[9,1,10,1],[10,1,11,2,10,
1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,
2,1],[8,2,1,1,2,-1,8,1,1,1],[9,1,7,1,9,-3,7,1,9,-1]]],[[[1,1,2,1],[2,1,1,1],[
2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,
7,1,1,1],[8,2],[9,1,6,-2,9,-1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,
1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,1,6,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[
5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,-1,8,2]]],[[[1,1,2,1],[2,1,1,1],[
2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,
7,1,1,1],[8,2,6,-1,8,1,6,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,
1,1,1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[6,1,9,
1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[
5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,2,6,-2,8,-2,6,-2]],[[1,1,2,1],[2,1,1,
1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,
2,-1,7,1,1,1],[8,1,6,-1,8,-1],[9,1,6,-2,9,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,
-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,
1],[6,-2],[6,1,8,1],[9,1,8,1,10,1,9,1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,
3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[
8,1,6,1,8,1,6,-2,8,2,6,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,
4,1,2,1,3,2],[5,11],[1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[6,1,7,1],[8,1,6,1,7,1,6,
1,8,-2]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,
11],[1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[6,1,7,-1,6,1,7,1,6,1]]],[[[1,1,2,1],[1,
1,2,-1],[2,1,1,1,3,-2,2,-1,4,1,2,-1,4,2,3,1],[5,11],[1,1,2,1],[1,1,2,-1],[8,2,
7,1,1,1,2,-1,1,1,7,-1,8,-1],[9,1,6,1],[6,1,9,-1,6,1,9,2,10,2]],[[1,1,2,1],[1,
1,2,-1],[4,2,3,1,1,1,2,-1,1,1,3,-1,4,-1],[5,-3]]],[[[1,1,2,1],[2,1,1,1],[2,-1,
4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[7,
1,6,1,7,-1,6,1]]],[[[1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1]]],[[[1,1,2,1],[2,1,1,1],[
1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,
1],[9,1,7,1],[9,2,7,1,9,1],[11,1,10,1,11,1,10,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,
9,1],[9,2,10,1,7,1,9,-1,10,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,
5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,1],[9,1,10,1],[
10,1,11,1,7,1,9,-1,11,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,
2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,1],[9,1,10,1],[9,1,7,
1,11,-1,10,-1,11,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,
1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,2,7,1,9,2]],[[1,1,2,1],[
2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,
-1,8,1,1,1],[7,1,9,-2,7,1,9,-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,
2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,1],[9,2,7,
1],[11,1,10,-1,11,1,10,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,
3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,-2,7,1,9,-2]],[[1,
1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,
2,1,1,2,-1,8,1,1,1],[7,1,9,1],[9,1,10,1],[11,1,10,1,11,1,7,1,9,-1]]],[[[1,1,2,
1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,
1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[9,1,8,2,6,1,8,-1,6,-1,8,1,6,-1,9,1]],[[1,1,
2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,
1],[7,2,1,1,2,-1,7,1,1,1],[6,-1,8,-3,6,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,
1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,
-2,8,1,6,1,8,-1,6,1,8,2,6,-1,8,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,
-1,2,1,1,1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[9,1,
6,1,9,1,6,-2,9,1,6,-1,9,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,
1],[5,5]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,
5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,-2,7,1,9,2,7,1,9,2]],[[1,1,2,1],[2,
1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,
8,1,1,1],[7,1,9,1],[9,1,10,1],[9,1,7,1,11,-1,10,-1,11,-1]]],[[[1,1,2,1],[2,1,
1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,
1,1,1],[9,2],[9,1,7,1,10,-1,7,1,9,1,10,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,
1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[9,-1,7,1,9,
1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,
2,1],[8,2,1,1,2,-1,8,1,1,1],[9,1,7,1],[10,2,9,-2,7,1]]],[[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,
1,1],[7,1,9,1],[9,1,10,1],[9,1,7,1,11,-1,10,-1,11,-1]],[[1,1,2,1],[2,1,1,1],[
1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,
1],[7,1,9,-2,7,1,9,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,
4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,1],[10,2,7,1,9,1]]],[[[
1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[
8,2,1,1,2,-1,8,1,1,1],[7,1,9,1],[9,2,7,1],[10,1,11,2,10,-1]],[[1,1,2,1],[2,1,
1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,
1,1,1],[7,1,9,1],[10,2,7,1,9,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,
5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,1],[9,1,10,1],[
11,1,10,1,11,1,7,1,9,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,
3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,1],[9,1,7,1],[10,2,
11,-1,10,-1,11,1,9,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,
4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,1],[10,2,9,2,7,1,10,
-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,
2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,1],[10,1,9,1,7,1,9,-1,10,-1,9,-2]]],[[[1,1,
2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,
1,1,2,-1,8,1,1,1],[9,1,7,1],[10,1,9,2,10,-1,9,-1,7,1,9,-1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,
1,1],[9,-1,7,1,9,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,
2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[9,1,7,1],[10,2,9,-2,7,1]]],[[[1,
1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,
2,1,1,2,-1,8,1,1,1],[7,1,9,1],[10,2,9,2,7,1,10,-1]],[[1,1,2,1],[2,1,1,1],[1,1,
2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,
1,9,2,7,1,9,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,
1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,-2,7,1,9,2,7,1]]],[[[1,1,2,
1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,
1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,-1,8,1,6,-2,8,2,6,1]],[[1,1,2,1],[2,1,1,1],[
2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,
7,1,1,1],[8,1,6,-2,8,-1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,
-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,-3,6,-1]]],[[[
1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[
8,2,1,1,2,-1,8,1,1,1],[7,1,9,1],[9,1,7,1],[10,1,11,2,9,1,11,1,10,-1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,
1,2,-1,8,1,1,1],[7,1,9,-2,7,1,9,-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,
1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,-1,7,1,9,
-3,7,1,9,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[
6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,-2,7,1,9,-2]]],[[[1,1,2,1],[2,1,
1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,
1,1,1],[7,1,9,-1,7,1,9,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,
2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[9,-1,7,1,9,1]]],[[[1,1,2,
1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,
1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,1],[9,1,6,-2,9,-1,8,-1]],[[1,1,2,1],[2,1,1,
1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,
2,-1,7,1,1,1],[6,-2,8,2,6,-1,8,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,
3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,1],[9,1,10,
2,7,1,9,-1,10,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,
1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,1],[10,1,9,1,7,1,9,1,10,
1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[
5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[9,1,6,1,8,2,9,1,8,1,6,1,8,
-1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,
2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,-2,8,1,6,-1,8,1]]],[[[1,1,2,1],[2,
1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,
8,1,1,1],[7,1,9,1],[9,1,7,1],[11,1,10,-2,11,1,9,-1,10,-1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,
1,1],[9,1,7,1],[7,1,9,-1,10,-2]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,
-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[9,1,
8,-2,6,1,8,2,9,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,
-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2,8,1,6,-1,8,2]]],[[[
2,1,1,1],[2,-1,1,1,2,-1,3,-2],[4,3],[1,1,2,1],[2,1,1,1],[6,2,7,-2,6,1,7,-1],[
8,1,5,1],[9,1,8,-1,5,1,9,1,8,-1],[5,1,8,1],[11,1,10,1],[12,1,11,2,12,-1,11,-1,
10,1,11,-1]],[[2,1,1,1],[2,-1,1,1,2,-1,3,-2],[4,3],[1,1,2,1],[2,1,1,1],[6,2,7,
-2,6,1,7,-1],[8,1,5,1],[9,1,8,-1,5,1,9,1,8,-1],[5,1,8,1],[11,1,10,1],[11,-1,
10,1,11,2]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,
4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[9,1,8,1,6,1,8,-1,9,1,6,1,
8,2]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[
5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[8,2,9,1,8,1,6,1,8,1,9,1]]],[[[1,
1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,
2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,1],[6,-2,8,2,6,-1,8,-1,9,-2]],[[1,1,2,1],[
2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,
2,1,1,2,-1,7,1,1,1],[6,1,8,1],[6,1,8,-1,9,1,8,-1,9,-1,6,-2]]],[[[1,1,2,1],[2,
1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,
8,1,1,1],[9,2],[9,1,7,1,10,-1,7,1,9,1,10,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[
4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,-2,
7,1,9,-2]]],[[[2,1,1,1],[2,-1,1,1,2,-1,3,-2],[4,3],[1,1,2,1],[2,1,1,1],[6,2,7,
-2,6,1,7,-1],[8,1,5,1],[9,1,8,-1,5,1,9,1,8,-1],[5,1,8,1],[11,2,10,1,11,-2,10,
1,11,1]],[[2,1,1,1],[2,-1,1,1,2,-1,3,-2],[4,3],[1,1,2,1],[2,1,1,1],[6,2,7,-2,
6,1,7,-1],[5,1,8,1],[9,-5]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,
2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,1],[9,1,7,1,10,
-1,9,-1,10,1,9,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,
1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[9,1,7,1],[7,1,9,-1,10,-2]]],[[[1,1,
2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,
1,1,2,-1,8,1,1,1],[7,1,9,1],[10,2,9,2,10,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[
4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[9,1,7,1,
9,-3,7,1,9,-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,
3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[9,1,8,-1,9,1,8,1,9,
1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,
2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,2],[9,1,6,-2,9,-1]],[[1,1,2,1],[2,1,1,
1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,
2,-1,7,1,1,1],[8,1,6,-2,8,-1,6,-2]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,
-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,
1],[6,-2,8,2,6,1],[10,1,9,1,10,1,9,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,
-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,
-2],[9,1,8,1,6,-2,8,1,9,1,8,-2]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,
-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,1],[
8,1,9,1,6,-2,9,-1,8,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,
2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[9,1,7,1],[9,1,7,1,9,1],[11,
1,10,2,11,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[
6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,-1,7,1,9,1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5]]],[[[1,1,2,1],[2,1,1,1],[2,
-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,
1,1,1],[6,1,8,1],[9,1,6,-1,8,-2,9,-1,6,-2,9,-1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,
-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,
1],[6,-1,8,-3,6,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,
-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[9,1,8,1,9,1,8,1,6,
-2,8,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,
-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,-3,6,-1]],[[1,1,2,1],[3,2,1,
1,2,-1,3,1,1,1],[4,-3]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,
-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-1,8,-3,6,1]]],[[[
1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,
1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,1],[8,2,6,1],[10,1,9,1,10,1,9,1]],[[1,1,
2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,
1],[7,2,1,1,2,-1,7,1,1,1],[6,-1,8,-3,6,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,
1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,
1,8,1],[9,2,8,2,6,-1,9,-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,
1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[6,1,8,
1],[9,1,10,1,8,1,9,1,8,1,10,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,
1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,2,6,-2,
8,1,6,-1,8,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,
3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[9,1,8,1,9,1,8,2]],[[
1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,
1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,2,6,-2,8,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,
4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,
-2,2,1],[9,1,6,1],[9,1,10,1,9,1,10,-1,6,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,
-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,
2,1],[6,-2],[9,-1,10,1,9,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,
1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,1],[9,1,
8,1,9,3,6,-2]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,
1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,1],[8,2,6,-1],[9,1,10,2,
9,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,
-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[9,1,8,1,6,-2,8,2,9,1]],[[1,
1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,
2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[8,2,9,1,8,1,9,1]]],[[[1,1,2,1],[2,1,1,1],[
2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,
7,1,1,1],[6,-2],[8,2],[9,1,10,-1,9,1,10,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,
1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,
1,6,-2,8,-1,6,-2]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,
-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[8,1,6,1],[9,1,10,
2,8,-1,9,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,
4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,1,8,-1,6,-2,8,-1,6,1,8,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[
5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,1,8,-1,6,-2,8,-1,6,1,8,-1]],[[1,
1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,
2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,-2,8,-1,6,-2]]],[[[1,1,2,1],[2,1,1,1],[2,
-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,
1,1,1],[6,1,8,1],[8,1,9,1,6,-2,9,1,8,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,
4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,
-1,8,-3,6,-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,
3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[6,1,8,1],[10,1,9,1,
10,1,9,1,8,1,6,1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,
-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,1],[6,-2,9,-2,
6,1,8,-2,9,1]]],[[[2,1,1,1],[2,-1,1,1,2,-1,3,-2],[4,3],[1,1,2,1],[2,1,1,1],[6,
2,7,-2,6,1,7,-1],[8,-2,5,1],[9,6],[5,1,8,-1,5,1,8,1,5,1,8,-1],[10,1,11,1],[12,
1,10,1,12,-1,11,-1,12,-1]],[[2,1,1,1],[2,-1,1,1,2,-1,3,-2],[4,3],[1,1,2,1],[2,
1,1,1],[6,2,7,-2,6,1,7,-1],[5,1,8,-1,5,1,8,1,5,1,8,-1],[9,2]]],[[[2,1,1,1],[2,
-1,1,1,2,-1,3,-2],[4,3],[1,1,2,1],[2,1,1,1],[6,2,7,-2,6,1,7,-1],[8,1,5,1],[9,
1,8,-1,5,1,9,1,8,-1],[5,1,8,1],[10,1,11,1],[12,1,11,1,10,1,11,-3,12,-1]],[[2,
1,1,1],[2,-1,1,1,2,-1,3,-2],[4,3],[1,1,2,1],[2,1,1,1],[6,2,7,-2,6,1,7,-1],[5,
1,8,1],[9,2]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,
1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[6,1,8,1],[9,1,8,1,6,-1,
8,-1,9,1,10,-2]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,
3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,1],[9,1,8,1,9,2,6,
1]]],[[[2,1,1,1],[2,-1,1,1,2,-1,3,-2],[4,3],[1,1,2,1],[2,1,1,1],[6,2,7,-2,6,1,
7,-1],[8,-2,5,1],[9,6],[5,1,8,-1,5,1,8,1,5,1,8,-1],[11,1,10,1],[10,1,11,1,12,
1,11,1,12,2]],[[2,1,1,1],[2,-1,1,1,2,-1,3,-2],[4,3],[1,1,2,1],[2,1,1,1],[6,2,
7,-2,6,1,7,-1],[5,1,8,-1,5,1,8,1,5,1,8,-1],[9,2]]],[[[1,1,2,1],[2,1,1,1],[2,
-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,
1,1,1],[6,1,8,1],[6,-2,8,1,9,2]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,
-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,2],[
9,1,6,-2,9,-1]]],[[[1,1,2,1],[1,1,2,-1],[2,1,1,1,3,-2,4,-1,3,-1,4,-2,2,
1]]],[[[1,1,2,1],[1,1,2,-1],[2,1,1,1,3,-2,2,-1,4,1,2,-1,4,2,3,1],[5,11],[1,1,
2,1],[1,1,2,-1],[8,2,7,1,1,1,2,-1,1,1,7,-1,8,-1],[9,1,6,1],[9,1,10,-1,6,1,9,2,
10,2]],[[1,1,2,1],[1,1,2,-1],[4,2,3,1,1,1,2,-1,1,1,3,-1,4,-1],[5,-2]]],[[[1,1,
2,1],[2,1,1,1,2,1,3,2],[4,1,2,1,1,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,
1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[6,1,7,
5,6,1]],[[1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[3,5]]],[[[1,1,2,1],[2,1,1,1],[1,1,
2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[9,
1,7,1],[9,1,7,1,9,1],[11,1,10,2,11,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,
2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,1],[9,
-1,10,2,9,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,
1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[9,1,6,1,9,-1,6,1,9,2,6,
-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,
1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[9,1,6,-1,9,1],[10,1,6,-2,10,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,
1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[6,-2],[6,1,9,1],[10,1,9,-1,11,-1,9,
1,11,1,10,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,
2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[9,2,6,1],[6,-2,10,2]]],[[[
1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,
1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[6,1,8,1,9,1,8,-1,6,1,8,-1,9,1]],[[1,1,2,
1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,
1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[8,1,9,1,8,1,6,1,8,1,9,1]]],[[[1,1,2,1],[2,1,
1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,
1,1,1],[7,1,9,1],[9,1,7,1,10,-2,9,2,10,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,
1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[9,1,7,1,9,
-3,7,1,9,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[
6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[9,1,7,1],[7,1,9,-1,7,1,9,2,10,2]]],[[[
1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,
1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2,8,-2,6,-1,8,1,6,1,8,-1]],[[1,1,2,1],[2,1,
1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,
1,2,-1,7,1,1,1],[6,-1,8,-3,6,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,
-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,-1,8,
-1],[9,1,6,-2,9,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,
4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[9,1,8,1,6,1,8,
-1,9,1,6,1,8,2]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,
3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,1],[9,2,8,-1,6,
-2]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[
1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[6,1,7,1],[6,1,7,-1,8,1,6,1,8,-1,7,1,6,1]],[[
1,1,2,1],[2,1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[1,1,2,-1,
1,1,2,-1,1,1,2,-1,1,1],[7,1,6,1],[8,1,6,1,7,1,8,-1,7,-1]]],[[[1,1,2,1],[1,1,2,
-1],[2,1,1,1,3,-2,2,-1,4,1,2,-1,4,2,3,1],[5,11],[1,1,2,1],[1,1,2,-1],[8,2,7,1,
1,1,2,-1,1,1,7,-1,8,-1],[6,1,9,1],[10,1,9,1,10,1,9,1,6,1,9,-1,10,-1]],[[1,1,2,
1],[1,1,2,-1],[4,2,3,1,1,1,2,-1,1,1,3,-1,4,-1],[5,-3]]],[[[1,1,2,1],[2,1,1,
1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,
2,-1,7,1,1,1],[8,1,6,1,8,1,6,-2,8,-1,6,1,8,-1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,
-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,
1],[6,1,8,-1,6,-1,8,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,
-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[9,1,8,1,6,1,
8,-1,9,1,6,1,8,2]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,
-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,1,6,1,8,1]]],[[[1,
1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,
2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,1],[9,2,6,-2,9,-2,8,-1]],[[1,1,2,1],[2,1,1,
1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,
2,-1,7,1,1,1],[6,1,8,1],[6,-1,8,-2,9,2]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,
1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,
-2],[8,1,6,1,8,1],[9,1,10,-1,9,1,10,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,
-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,
-2],[9,1,8,-1,6,-1,8,1,9,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,1,4,-1,2,
-1,3,2,4,-1],[5,10],[1,1,2,1],[2,1,1,1,7,-2],[8,2,6,-1,8,-1]]],[[[1,1,2,1],[2,
1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,
1,1,2,-1,7,1,1,1],[6,-2],[8,1,6,1,8,1,9,1,8,-2,9,1]],[[1,1,2,1],[2,1,1,1],[2,
-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,
1,1,1],[6,-1,8,-3,6,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,
-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[9,1,8,2,6,-1,
8,-2,9,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,
-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-1,8,-3,6,1]]],[[[1,1,2,1],[2,1,
1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,
1,2,-1,7,1,1,1],[8,1,6,1,8,-2,6,1,8,-1,6,-2]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,
3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[
8,1,6,1],[9,2,8,-1,6,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,
1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[6,1,9,1],[10,
1,9,1,10,1,9,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[
1,1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[6,1,9,-2,6,-2,9,
-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,
1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,1],[10,2,9,2,7,1,9,-1,10,1]],[[1,1,2,1],[
2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,
-1,8,1,1,1],[9,2,7,1,9,-1,7,1,9,-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,
-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,
-2],[6,1,8,1],[10,1,8,1,9,1,10,-1,9,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,
-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,
1,8,2,6,-1,8,-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,
-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,2,6,1,8,1,6,1,8,1,6,
-2]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,
2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[9,1,8,1,9,1,8,2]]],[[[1,1,2,1],[2,
1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,
1,1,2,-1,7,1,1,1],[6,-2],[9,1,8,1,6,1,8,-1,9,1,6,1,8,2]],[[1,1,2,1],[2,1,1,
1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,
2,-1,7,1,1,1],[8,1,6,1,8,-2,6,1,8,-1,6,-2]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,
3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[
6,-2,8,-1,6,1,8,-1,6,-1,8,-2]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,
1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[9,1,8,
1,9,1,8,2]]],[[[2,1,1,1],[2,-1,1,1,2,-1,3,-2],[4,3],[1,1,2,1],[2,1,1,1],[6,2,
7,-2,6,1,7,-1],[5,1,8,1],[8,1,5,1],[5,1,8,-1],[11,1,10,-2,8,-1,11,1,9,2,10,
1],[8,-2,5,1,8,1],[12,-1,13,2,12,1]],[[2,1,1,1],[2,-1,1,1,2,-1,3,-2],[4,3],[1,
1,2,1],[2,1,1,1],[6,2,7,-2,6,1,7,-1],[5,1,8,1],[8,1,5,1],[5,1,8,-1],[11,1,10,
-2,8,-1,11,1,9,2,10,1],[8,-2,5,1,8,1],[12,1,13,2,12,-1]]],[[[1,1,2,1],[2,1,1,
1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,
2,-1,7,1,1,1],[6,-2],[9,1,8,1,6,-1,8,-2,6,1,8,-1,9,1]],[[1,1,2,1],[2,1,1,1],[
2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,
7,1,1,1],[8,1,6,-1,8,2,6,1,8,-1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,
-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,1],[
9,1,6,-1,8,-2,6,1,9,-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,
2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[6,1,8,1],[
9,1,8,-1,9,1,10,-2,8,-1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,
-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,1,8,2,6,-1,8,
-1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,
2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[8,2,9,1,8,-1,6,-2,8,-1,9,1]]],[[[
1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,
1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,1],[6,1,8,-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,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,
2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,1],[8,2,6,1],[10,1,9,1,10,1,9,
1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,
2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,1],[8,2,6,-1],[10,1,9,2,10,1]]],[[[
1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,
1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,-1,8,-1,6,-1,8,2]],[[1,1,2,1],[2,1,1,1],[
2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,
7,1,1,1],[6,-1,8,2,6,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,
2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,1,8,2,6,-1,
8,-1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[
5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,1,8,-1,6,-1,8,2]]],[[[1,1,2,1],[
2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,
2,1,1,2,-1,7,1,1,1],[6,1,8,1,6,-2,8,-3,6,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,
3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[
6,1,8,2,6,-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,
3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[9,1,8,1,6,1,8,-2,6,1,
8,-1,9,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,
-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,1,8,-1,6,1,8,2]]],[[[1,1,2,
1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,
1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,1],[9,1,8,1,9,1,8,2,6,-1,9,-1]],[[1,1,2,1],[
2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,
2,1,1,2,-1,7,1,1,1],[6,-2,8,-3,6,-1,8,1,6,-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,
-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,
1],[8,1,6,-1,8,-2,6,-1,8,-1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,
1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,-1,8,1,6,
-1,8,2]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,
-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[9,1,8,-2,6,-1,8,-1,6,1,8,
-1,9,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,
-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,-1,8,-1,6,1,8,2]]],[[[1,1,2,
1],[2,1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[1,1,2,-1,1,1,2,
-1,1,1,2,-1,1,1],[6,1,7,1],[6,1,7,-1],[9,1,7,-1,8,-1,9,1,8,1]],[[1,1,2,1],[2,
1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[1,1,2,-1,1,1,2,-1,1,1,
2,-1,1,1],[6,1,7,1],[8,2,7,1,6,1,7,-1,8,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,
4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,
-2,2,1],[9,1,6,1,9,3,6,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,
4,1,2,1,3,2],[5,11],[1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[6,1,7,1],[8,2,7,1]],[[1,
1,2,1],[2,1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[1,1,2,-1,1,
1,2,-1,1,1,2,-1,1,1],[7,-1,6,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,
1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[9,1,7,1],[10,1,
9,2,10,-1,9,-1,7,1,9,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,
2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[9,-1,7,1,9,1]],[[1,1,2,1],[
2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,
-1,8,1,1,1],[9,2],[9,1,7,1,10,-1,7,1,9,1,10,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[9,1,
7,1],[10,2,9,-2,7,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,
4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,1],[10,2,9,2,7,1,10,
-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,
2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,2,7,1,9,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[9,1,
7,1],[10,1,7,1,9,1,10,-1,9,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,
5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,-2,7,1,9,2,7,
1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,
1,2,1],[8,2,1,1,2,-1,8,1,1,1],[9,1,7,1,9,-3,7,1,9,-1]],[[1,1,2,1],[2,1,1,1],[
1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,
1],[7,1,9,-2,7,1,9,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,
4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,2,7,1,9,2]]],[[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,
1,2,-1,8,1,1,1],[7,1,9,1],[9,2,7,1],[11,1,10,-1,11,1,10,-1]],[[1,1,2,1],[2,1,
1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,
1,1,1],[7,1,9,-2,7,1,9,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,
3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,1],[9,1,10,1],[11,
1,10,1,11,1,7,1,9,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,
1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,1],[10,2,7,1,9,1]]],[[[1,
1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,
2,1,1,2,-1,8,1,1,1],[7,1,9,1],[9,2,10,1,7,1,9,-1,10,-2]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,
1,1],[7,1,9,1],[9,1,10,2,9,1,7,1,9,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,
2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[9,-1,7,1,9,
1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,
1,2,1],[8,2,1,1,2,-1,8,1,1,1],[9,1,7,1],[10,1,9,2,10,-1,9,-1,7,1,9,-1]],[[1,1,
2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,
1,1,2,-1,8,1,1,1],[7,1,9,-1,7,1,9,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,
1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[9,-1,7,1,9,
1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,
1,2,1],[8,2,1,1,2,-1,8,1,1,1],[9,2],[9,1,7,1,10,-1,7,1,9,1,10,1]],[[1,1,2,1],[
2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,
-1,8,1,1,1],[7,1,9,1],[10,1,9,1,7,1,9,1,10,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,
9,1],[9,1,10,2,7,1,9,-1,10,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,
5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,1],[9,-3,10,
2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,
2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,2,7,1,9,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,
9,1],[9,1,7,1],[10,2,11,-2,10,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,
2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,-1,7,1,9,-3,
7,1,9,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,
5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[9,2],[9,1,7,1,10,-1,7,1,9,1,10,1]],[[1,1,
2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,
1,1,2,-1,8,1,1,1],[7,1,9,-2,7,1,9,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,
1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,1],[9,1,
10,1],[10,1,11,-2,10,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,
3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,1],[9,2,10,2,9,1,7,
1,9,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[
1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[
4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[9,1,7,1,
9,-3,7,1,9,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,
1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[9,2,7,1]]],[[[1,1,2,1],[2,1,1,1],[
1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,
1],[7,1,9,-2,7,1,9,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,
4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[9,-1,7,1,9,1]]],[[[1,1,2,1],[
2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,
-1,8,1,1,1],[9,2],[9,1,7,1,10,-1,7,1,9,1,10,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,
9,1],[10,1,9,1,7,1,9,1,10,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,
2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[9,-1,7,1,9,1]]],[[[1,1,
2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,
1,1,2,-1,8,1,1,1],[7,1,9,1],[9,1,7,1,9,-1],[10,1,11,1,10,1,11,1]],[[1,1,2,1],[
2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,
-1,8,1,1,1],[7,1,9,1],[10,1,9,1,7,1,9,1,10,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,
9,1],[7,1,9,-1,10,1,7,1,9,-1,10,-1,9,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[
4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,
1],[10,2,7,1,9,-1,10,1,9,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,
3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,-2,7,1,9,-2]],[[1,
1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,
2,1,1,2,-1,8,1,1,1],[9,1,7,1,9,-3,7,1,9,-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,
-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,
1],[6,-2],[9,1,8,-2,6,1,8,2,9,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,
-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2,8,1,6,
-1,8,2]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,
-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,-1,8,-1],[9,1,6,-2,9,
-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,
1,2,1],[8,2,1,1,2,-1,8,1,1,1],[9,2],[9,1,7,1,10,-1,7,1,9,1,10,1]],[[1,1,2,1],[
2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,
-1,8,1,1,1],[7,1,9,1],[10,1,9,2,7,1,9,-1,10,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[9,
-1,7,1,9,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[
6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,1],[9,1,7,1,9,-1],[10,1,11,1,10,
1,11,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[
1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,1,7,1,9,1,7,1,9,2]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,
1,1],[9,1,7,1],[7,1,9,-1,10,-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,
2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,1],[9,1,7,
1],[11,1,10,-1,9,-1,10,2,11,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,
5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,-1,7,1,9,-3,7,
1,9,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[
1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,1],[10,1,9,1,7,1,9,-1,10,-1]]],[[[1,1,
2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,
1,1,2,-1,8,1,1,1],[7,1,9,2,7,1,9,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,
3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[9,-1,7,1,9,1]],[[
1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[
8,2,1,1,2,-1,8,1,1,1],[9,1,7,1],[7,1,9,-1,10,-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,
2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[9,
1,7,1,9,2,7,1,9,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,
2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[9,-1,7,1,9,1]]],[[[1,1,2,1],[2,1,
1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,
1,1,1],[7,1,9,1],[10,1,9,2,7,1,9,-1,10,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,
1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[9,1,7,1,9,
2,7,1,9,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[
6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[9,1,7,1],[7,1,9,2,10,-2]],[[1,1,2,1],[
2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,
-1,8,1,1,1],[7,1,9,-1,7,1,9,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,
5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[9,-1,7,1,9,1]]],[[[1,
1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,
2,1,1,2,-1,8,1,1,1],[7,1,9,1],[9,1,7,1,9,-1,10,-1,9,2,10,1]],[[1,1,2,1],[2,1,
1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,
1,1,1],[9,1,7,1],[7,1,9,-1,10,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,
2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,1],[9,1,10,
1],[10,1,11,-2,10,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,
4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,1],[10,2,7,1,9,-1,10,1,
9,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,
1,2,1],[8,2,1,1,2,-1,8,1,1,1],[9,2,7,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,
1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,1],[
9,1,10,1],[10,1,11,1,7,1,9,-1,11,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,
1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,-1,7,1,9,
2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,
2,1],[8,2,1,1,2,-1,8,1,1,1],[9,-1,7,1,9,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,
3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[
6,-2],[9,1,6,1,8,-1,9,1,6,1,8,2]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,
-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,1,8,
-2,6,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,
-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[6,1,8,-1,9,1,8,-1,6,1,8,-1,
9,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[
5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[9,1,8,-1,9,1,8,1,9,1]]],[[[1,1,
2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,
1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[9,1,8,-2,6,1,8,2,9,1]],[[1,1,2,1],[2,1,1,
1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,
2,-1,7,1,1,1],[8,1,6,-2,8,-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,
-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[6,1,
8,2],[9,1,10,1,9,1,10,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,
-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,1,8,1,6,
1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[
5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[8,1,6,1,8,-1,9,1,6,1,8,2,9,
1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,
2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,2,6,-1,8,-2]]],[[[1,1,2,1],[2,1,1,1],[
2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,
7,1,1,1],[6,-2],[9,1,8,2,6,-2,8,-2,9,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,
4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,
6,-1,8,-1,6,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,
3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,1,6,-2,8,-1,6,1,8,
-1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,
2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,2],[9,1,6,-2,9,-1]]],[[[1,1,2,1],[1,1,
2,-1],[2,1,1,1,3,-2,2,-1,4,1,2,-1,4,2,3,1],[5,11],[1,1,2,1],[1,1,2,-1],[8,2,7,
1,1,1,2,-1,1,1,7,-1,8,-1],[6,1,9,1],[9,1,6,1],[10,2,11,-2,10,-1]],[[1,1,2,1],[
1,1,2,-1],[2,1,1,1,3,-2,2,-1,4,1,2,-1,4,2,3,1],[5,11],[1,1,2,1],[1,1,2,-1],[8,
2,7,1,1,1,2,-1,1,1,7,-1,8,-1],[6,1,9,1],[9,2,10,3,6,1,9,-1]]],[[[1,1,2,1],[2,
1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[1,1,2,-1,1,1,2,-1,1,1,
2,-1,1,1],[6,1,7,1],[7,1,6,1],[7,1,9,-1,8,-3,9,1]],[[1,1,2,1],[2,1,1,1],[2,-1,
4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[7,
1,6,1,7,1,6,1,7,-1,6,1,7,-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,
1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[9,1,6,
1,8,-2,9,1,8,2,6,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,
-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[9,1,8,1,9,1,8,
-2]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[
5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,-1,8,1,6,1,8,-1,6,-2]],[[1,1,2,
1],[3,2,1,1,2,-1,3,1,1,1],[4,-3]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,
2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2,8,1,
6,-1,8,-1,6,1,8,2]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,
-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-1,8,-3,6,1]]],[[[1,1,
2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,
1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,-1,8,1,6,1,8,2,6,-2]],[[1,1,2,1],[3,2,1,1,2,
-1,3,1,1,1],[4,-3]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,
4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[6,1,8,1],[8,1,
10,1,9,1,10,1,8,1,9,1]],[[1,1,2,1],[3,2,1,1,2,-1,3,1,1,1],[4,-3]],[[1,1,2,1],[
2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,
2,1,1,2,-1,7,1,1,1],[6,-1,8,-3,6,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,
-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,
-2],[8,1,6,1,8,-1,9,1,6,1,8,2,9,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,
2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-1,8,
-3,6,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,
-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,-3,6,-1]]],[[[1,1,2,1],[2,1,
1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,
1,2,-1,7,1,1,1],[6,-2],[9,1,6,1,8,-2,9,1,6,1,8,1]],[[1,1,2,1],[2,1,1,1],[2,-1,
4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,
1,1],[6,-1,8,1,6,-1,8,-2]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,
1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[6,1,8,
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,-1,2,-1,
1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,1,8,2,6,
1,8,-1,6,-2]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,
4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[8,1,6,-1,8,1,9,1,8,1,6,
-1,8,-1,9,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,
1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,2,6,-2,8,-2,6,-2]],[[1,1,2,
1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,
1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,1,8,-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,
1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,
-2,8,-1,6,1,8,-1,6,1,8,2,6,1,8,-1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,
2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,
1],[8,1,9,1],[10,1,6,-2,9,1,10,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,
2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,2,6,1,
8,1,6,1,8,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,
4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,2,6,-1]]],[[[1,1,2,1],[2,
1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,
1,1,2,-1,7,1,1,1],[6,-2],[6,1,8,1],[8,1,10,1,9,1,10,1,8,1,9,1]],[[1,1,2,1],[2,
1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,
1,1,2,-1,7,1,1,1],[8,1,6,-1,8,-1],[9,1,6,-2,9,-1]]],[[[1,1,2,1],[2,1,1,1],[2,
-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[1,1,2,-1,1,1,2,-1,1,1,2,-1,1,
1],[6,1,7,1],[6,1,7,-2,8,1,7,1,6,1,7,-1,8,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,
1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[6,1,7,
-1,6,1,7,2,6,1,7,2]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,
4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[8,1,6,1,8,-1,9,
1,6,1,8,2,9,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,
1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[9,1,8,-1,6,1,8,-1,9,1,
8,1,6,1]]],[[[2,1,1,1],[2,-1,1,1,2,-1,3,-2],[4,3],[1,1,2,1],[2,1,1,1],[6,2,7,
-2,6,1,7,-1],[8,-2,5,1],[9,6],[5,1,8,-1,5,1,8,1,5,1,8,-1],[10,1,11,-1,10,1,11,
2,10,1]],[[2,1,1,1],[2,-1,1,1,2,-1,3,-2],[4,3],[1,1,2,1],[2,1,1,1],[6,2,7,-2,
6,1,7,-1],[5,1,8,-1,5,1,8,1,5,1,8,-1],[9,2]]],[[[2,1,1,1],[2,-1,1,1,2,-1,3,
-2],[4,3],[1,1,2,1],[2,1,1,1],[6,2,7,-2,6,1,7,-1],[8,-2,5,1],[9,6],[5,1,8,-1,
5,1,8,1,5,1,8,-1],[11,1,10,1],[12,1,11,1,12,1,11,-1,10,1]],[[2,1,1,1],[2,-1,1,
1,2,-1,3,-2],[4,3],[1,1,2,1],[2,1,1,1],[6,2,7,-2,6,1,7,-1],[5,1,8,-1,5,1,8,1,
5,1,8,-1],[9,2]]],[[[2,1,1,1],[2,-1,1,1,2,-1,3,-2],[4,3],[1,1,2,1],[2,1,1,1],[
6,2,7,-2,6,1,7,-1],[8,-2,5,1],[9,6],[5,1,8,-1,5,1,8,1,5,1,8,-1],[10,1,11,1],[
12,1,10,1,12,-1,11,-1,12,-1]],[[2,1,1,1],[2,-1,1,1,2,-1,3,-2],[4,3],[1,1,2,
1],[2,1,1,1],[6,2,7,-2,6,1,7,-1],[8,1,5,-1,8,-1,5,-1,8,1,5,-1]]],[[[1,1,2,1],[
2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,
2,1,1,2,-1,7,1,1,1],[8,2,6,1,8,-1,6,1,8,-1,6,1,8,-1]],[[1,1,2,1],[2,1,1,1],[2,
-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2]]],[[[1,1,2,1],[1,1,2,-1],[
2,1,1,1,3,-2,2,-1,4,1,2,-1,4,2,3,1],[5,11],[1,1,2,1],[1,1,2,-1],[8,2,7,1,1,1,
2,-1,1,1,7,-1,8,-1],[6,1,9,1],[10,1,6,1,9,1,6,1,10,-2]],[[1,1,2,1],[1,1,2,
-1],[4,2,3,1,1,1,2,-1,1,1,3,-1,4,-1],[5,-2]]],[[[1,1,2,1],[1,1,2,-1],[2,1,1,1,
3,-2,2,-1,4,1,2,-1,4,2,3,1],[5,11],[1,1,2,1],[1,1,2,-1],[8,2,7,1,1,1,2,-1,1,1,
7,-1,8,-1],[9,1,6,1],[9,1,10,-1,6,1,9,2,10,2]],[[1,1,2,1],[1,1,2,-1],[4,2,3,1,
1,1,2,-1,1,1,3,-1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,
1,2,1,3,2],[5,11],[1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[6,1,7,1],[7,1,6,1,7,-1],[
9,1,8,-2,9,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[
5,11],[1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[6,1,7,1,6,1,7,-4]]],[[[1,1,2,1],[2,1,
1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,
1,1,1],[7,1,9,-2,7,1,9,1,7,1,9,1,7,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,
1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,1,7,1,9,
-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,
2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,1],[10,2,9,2,10,2]]],[[[1,1,2,1],[2,1,1,
1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,
-1,7,-1,8,-2,2,1],[6,1,9,-2,6,-2,9,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,
3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[6,
-2,9,-1,6,1,9,-1,6,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,
2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,1],[9,1,10,2,7,1,9,
-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,
2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,1],[9,-1,10,2,9,1]]],[[[1,1,2,1],[2,1,1,
1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[1,1,2,-1,1,1,2,-1,1,1,2,
-1,1,1],[6,1,7,1],[7,1,6,1],[7,1,8,1,9,1,7,1,9,1,8,-1]],[[1,1,2,-1,1,1,2,-1,1,
1,2,-1,1,1],[3,5]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,
5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[9,1,6,1,9,-1,6,1,9,
2,6,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,
1],[1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[6,-2,9,3,6,1]]],[[[1,1,2,1],[
2,1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[1,1,2,-1,1,1,2,-1,1,
1,2,-1,1,1],[7,1,6,1],[6,1,7,-1,6,1,8,1,7,1,8,2]],[[1,1,2,-1,1,1,2,-1,1,1,2,
-1,1,1],[3,5]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,
1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,1],[9,-1,10,2,9,1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,
1,2,-1,8,1,1,1],[9,2,7,1,9,-1,7,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,
1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,1],[9,-1,
10,2,9,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,
5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,-3,7,1]]],[[[1,1,2,1],[2,1,1,1],[1,
1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[
7,1,9,1],[9,-1,10,2,9,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,
2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,-1,7,1,9,1,7,1]]],[[[
1,1,2,1],[2,1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[1,1,2,-1,
1,1,2,-1,1,1,2,-1,1,1],[7,1,6,1],[8,1,7,3,8,1,6,1,7,1,8,-1]],[[1,1,2,1],[2,1,
1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[1,1,2,-1,1,1,2,-1,1,1,2,
-1,1,1],[6,1,7,1],[8,2,6,1,7,-1,8,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[
4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[9,1,7,
1],[7,1,9,-1,10,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,
2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[9,1,7,1,9,-1,7,1,9,-2]]],[[[1,1,
2,1],[2,1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[1,1,2,-1,1,1,
2,-1,1,1,2,-1,1,1],[6,1,7,5,6,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,1,1,3,-1,2,
1,1,1,4,1,2,1,3,2],[5,11],[1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[6,1,7,-1,6,1,7,1,
6,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[
1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[6,1,9,1],[6,1,9,-2,10,3,6,-2]],[[
1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,1,2,
-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[6,1,9,1],[10,1,6,1,9,-2,10,-2,9,-1]],[[
1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,1,2,
-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[6,1,9,3,6,-2,9,2,6,-1]]],[[[1,1,2,1],[
2,1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[1,1,2,-1,1,1,2,-1,1,
1,2,-1,1,1],[6,1,7,1],[7,1,6,1],[8,1,7,1,9,-1,8,1,9,-1,7,-1]],[[1,1,2,1],[2,1,
1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[1,1,2,-1,1,1,2,-1,1,1,2,
-1,1,1],[6,1,7,1],[6,1,7,-1,8,1,7,1,8,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[
4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,2,
7,1]],[[1,1,2,1],[3,2,1,1,2,-1,3,1,1,1],[4,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,
9,1],[9,-1,10,2,9,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,
1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[9,2,7,1,9,2,7,1]]],[[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,
1,2,-1,8,1,1,1],[7,1,9,-2,7,1,9,-1,7,1,9,1,7,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[9,2,
7,1,9,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,
5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,-1],[10,2,9,-1,7,1,9,1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,
1,2,-1,8,1,1,1],[9,1,7,1],[10,2,9,-2]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,1,1,
3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[6,1,7,1],[
7,1,6,1],[8,2],[9,1,10,-1,9,1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,1,1,3,
-1,2,1,1,1,4,1,2,1,3,2],[5,11],[1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[7,1,6,1],[8,
1,7,-1,6,1,7,1,8,2]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,
4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[9,1,8,1,6,1,8,1,
9,1,8,2,6,-1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,
1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[9,1,8,-2,6,-1,9,1,8,1,
6,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,
1],[1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[6,-2],[6,1,9,1],[10,1,9,1,11,
1,10,1,9,-1,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,
5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[6,-2,9,-1,6,-1,9,
-2]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[
5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[9,1,8,1,6,-1,8,1,9,1,8,2,6,
-1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,
2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[9,1,8,2,6,-1,8,-2,9,1]],[[1,1,2,
1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,
1],[7,2,1,1,2,-1,7,1,1,1],[6,-1,8,-3,6,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,
1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[6,1,7,
-3,6,1,7,3,6,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,
2],[5,11],[1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[6,1,7,-2,6,1,7,3]]],[[[1,1,2,1],[
2,1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[1,1,2,-1,1,1,2,-1,1,
1,2,-1,1,1],[6,1,7,1],[6,1,7,-2],[9,1,8,1,9,1,8,1]],[[1,1,2,1],[2,1,1,1],[2,
-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[1,1,2,-1,1,1,2,-1,1,1,2,-1,1,
1],[7,1,6,1,7,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,
5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[9,2,6,-2,9,-2,6,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,
1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[9,1,6,-1,9,1],[10,1,6,-2,10,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,
1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[6,1,9,-2,6,-2,9,-1]],[[1,1,2,1],[2,
1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,7,
-2,8,-1,7,-1,8,-2,2,1],[6,1,9,2]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,
2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[9,
1,8,1,6,1,8,-1,9,1,6,1,8,2]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,
1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,1],[9,2,8,
-1,6,-2]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,
-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2,8,1,6,-1,8,2,6,-1,8,-1]]],[[[
2,1,1,1],[2,-1,1,1,2,-1,3,-2],[4,3],[1,1,2,1],[2,1,1,1],[6,2,7,-2,6,1,7,-1],[
5,1,8,1],[8,1,5,1],[5,1,8,-1],[11,1,10,-2,8,-1,11,1,9,2,10,1],[8,-2,5,1,8,1],[
12,3,13,-1,12,1,13,2]],[[2,1,1,1],[2,-1,1,1,2,-1,3,-2],[4,3],[1,1,2,1],[2,1,1,
1],[6,2,7,-2,6,1,7,-1],[5,1,8,1],[8,1,5,1],[5,1,8,-1],[11,1,10,-2,8,-1,11,1,9,
2,10,1],[8,-2,5,1,8,1],[12,1,13,-2,12,-1]],[[2,1,1,1],[2,-1,1,1,2,-1,3,-2],[4,
3],[1,1,2,1],[2,1,1,1],[6,2,7,-2,6,1,7,-1],[5,1,8,1],[8,1,5,1],[5,1,8,-1],[11,
1,10,-2,8,-1,11,1,9,2,10,1],[8,-2,5,1,8,1,12,1],[13,2,12,2]]],[[[2,1,1,1],[2,
-1,1,1,2,-1,3,-2],[4,3],[1,1,2,1],[2,1,1,1],[6,2,7,-2,6,1,7,-1],[5,1,8,1],[8,
1,5,1],[5,1,8,-1],[11,1,10,-2,8,-1,11,1,9,2,10,1],[8,-2,5,1,8,1],[12,1,13,2,
12,-1]],[[2,1,1,1],[2,-1,1,1,2,-1,3,-2],[4,3],[1,1,2,1],[2,1,1,1],[6,2,7,-2,6,
1,7,-1],[5,1,8,1],[8,1,5,1],[5,1,8,-1],[11,1,10,-2,8,-1,11,1,9,2,10,1],[12,-1,
8,-2,5,1,8,1,12,1]]],[[[2,1,1,1],[2,-1,1,1,2,-1,3,-2],[4,3],[1,1,2,1],[2,1,1,
1],[6,2,7,-2,6,1,7,-1],[5,1,8,1],[8,1,5,1],[5,1,8,-1],[11,1,10,-2,8,-1,11,1,9,
2,10,1],[12,-4]],[[2,1,1,1],[2,-1,1,1,2,-1,3,-2],[4,3],[1,1,2,1],[2,1,1,1],[6,
2,7,-2,6,1,7,-1],[5,1,8,1],[8,1,5,1],[5,1,8,-1],[11,1,10,-2,8,-1,11,1,9,2,10,
1],[8,-2,5,1,8,1],[12,1,13,-1,12,-1,13,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,
3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[
6,-2],[9,1,8,-3,9,1]],[[1,1,2,1],[3,2,1,1,2,-1,3,1,1,1],[4,-3]],[[1,1,2,1],[2,
1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,
1,1,2,-1,7,1,1,1],[6,1,8,-3,6,-1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,
-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-1,8,-3,
6,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,
-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,1],[6,1,8,-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,-1,2,-1,1,1,2,-1,4,
-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[9,1,8,-2,9,1,8,1,
6,-2,8,1]],[[1,1,2,1],[3,2,1,1,2,-1,3,1,1,1],[4,-3]],[[1,1,2,1],[2,1,1,1],[2,
-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,
1,1,1],[6,-2],[6,1,8,1,9,1,8,1,9,1,8,1,6,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,
-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,
1],[6,-2],[8,1,6,-1,8,1,9,1,8,1,6,1,8,-1,9,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,
-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,
1],[6,1,8,2,6,-1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,
-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[9,1,8,-1,9,1,8,1,
9,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,
-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[6,1,8,2],[10,1,9,1,10,-1,9,
1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,
2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,-1,6,-2,8,1,6,1]],[[1,1,2,1],[2,1,
1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,
1,2,-1,7,1,1,1],[6,1,8,-1],[9,1,8,-1,6,-2,8,1,9,-1]]],[[[1,1,2,1],[2,1,1,1],[
2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,
7,1,1,1],[8,1,6,1,8,-1,6,-2,8,-1,6,1,8,-1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,
1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,
2],[9,1,6,-2,9,-1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,
-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,2,6,-1]]],[[[1,1,2,
1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,
1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,1],[8,1,6,-1,8,-1,9,-1,6,-2,9,-2]],[[1,1,2,
1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,
1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,1],[8,2,6,-1],[9,1,10,2,9,1]],[[1,1,2,1],[2,
1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,
1,1,2,-1,7,1,1,1],[6,1,8,1],[6,-2,9,-2,8,1,6,1,8,-1,9,1]]],[[[1,1,2,1],[2,1,1,
1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,
2,-1,7,1,1,1],[6,-1,8,-3,6,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,
1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,2,6,
-1]],[[1,1,2,1],[3,2,1,1,2,-1,3,1,1,1],[4,-3]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,
-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,
1],[6,-2],[8,1,6,1,8,-1,9,1,6,1,8,2,9,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,
4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,
8,2,6,-1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,
-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,-2,8,-1,6,-2]]],[[[1,1,2,
1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,
1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[8,1,6,-1,8,1,9,1,8,1,6,1,8,-1,9,1]],[[1,1,2,
1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,
1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,2,6,-1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,
4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,
2],[9,1,6,-2,9,-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,
4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,-1,8,1,6,1,8,2,6,
-2]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,
2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,2,6,-1]],[[1,1,2,1],[2,1,1,1],[2,
-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,
1,1,1],[8,1,6,-2,8,-1,6,-2]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,
1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-1,8,-3,6,
-1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,
2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,-3,6,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,
3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,
8,-2,2,1],[6,-2],[9,1,6,1,9,-1,6,1,9,1,10,1,9,1,10,1]],[[1,1,2,1],[2,1,1,1],[
2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,-1,
7,-1,8,-2,2,1],[6,1,9,1],[6,1,9,-1,10,2,6,-1,9,-2]]],[[[1,1,2,1],[2,1,1,1],[2,
-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,
1,1,1],[6,-2,8,1,6,-1,8,-1,6,1,8,2]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,
2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,-1,
8,-2,6,1,8,-1,6,-2]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,
4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,1,8,-1,6,-2,8,-1,
6,1,8,-1]],[[1,1,2,1],[3,2,1,1,2,-1,3,1,1,1],[4,-3]]],[[[1,1,2,1],[2,1,1,1],[
2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,
7,1,1,1],[8,1,6,1,8,-1,6,-1,8,2]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,
-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-1,8,-3,
6,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,
-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,1,6,-1]],[[1,1,2,1],[3,2,1,
1,2,-1,3,1,1,1],[4,-3]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,
-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[9,1,6,1,8,2,
9,1,8,2,6,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,
4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,-1,8,1,6,1,8,-1,6,
-2]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[
5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,-2,8,2,6,-2]],[[1,1,2,1],[2,1,1,
1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,
2,-1,7,1,1,1],[8,1,6,-1,8,1,6,-1,8,2]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,
4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,
-2],[6,1,8,1],[9,1,10,-1,8,-1,9,1,10,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,
4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,
6,-1,8,-1,6,1,8,2]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,
4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[6,1,8,1],[9,1,8,
1,10,1,9,1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,
-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,2],[9,1,6,-2,9,1]]],[[[
1,1,2,1],[2,1,1,1],[2,-1,1,1,2,-1,4,-1,1,1,3,-1,4,2,2,-1,3,-1],[5,5],[1,1,2,
1],[2,1,1,1,2,1,7,2],[8,1,2,1,1,1,8,-1],[6,1,9,1],[6,-2,9,1,10,2,9,1]],[[1,1,
2,1],[2,1,1,1],[2,-1,1,1,2,-1,4,-1,1,1,3,-1,4,2,2,-1,3,-1],[5,5],[1,1,2,1],[2,
1,1,1,2,1,7,2],[8,1,2,1,1,1,8,-1],[6,1,9,3,6,-1,9,-1]]],[[[1,1,2,1],[2,1,1,
1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[1,1,2,-1,1,1,2,-1,1,1,2,
-1,1,1],[6,1,7,1],[6,1,8,-1,7,1,6,1,7,-1,8,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,
-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[7,1,
6,1],[8,1,7,-1,6,1,7,1,8,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,
1,1,1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[9,1,6,1,
9,-1,6,-2,9,1,6,-1,9,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,
1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[6,1,9,-1,6,
-2,9,1,6,1,9,-1]]],[[[2,1,1,1],[2,-1,1,1,2,-1,3,-2],[4,3],[1,1,2,1],[2,1,1,
1],[6,2,7,-2,6,1,7,-1],[8,1,5,1],[9,1,8,-1,5,1,9,1,8,-1],[5,1,8,1],[10,1,11,
-2,10,1,11,2]],[[2,1,1,1],[2,-1,1,1,2,-1,3,-2],[4,3],[1,1,2,1],[2,1,1,1],[6,2,
7,-2,6,1,7,-1],[8,1,5,1],[9,1,8,-1,5,1,9,1,8,-1],[5,1,8,1],[10,1,11,-1,10,1,
11,3]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,
-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[6,1,8,2,9,1,8,1,6,1,8,-1,9,
1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,
2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2,8,-2,6,-1,8,1,6,-1,8,1]]],[[[2,1,1,
1],[2,-1,1,1,2,-1,3,-2],[4,3],[1,1,2,1],[2,1,1,1],[6,2,7,-2,6,1,7,-1],[8,1,5,
1],[8,-2,5,1,8,1],[10,1,9,1,10,1,9,1],[5,1,8,1],[8,1,5,1],[13,1,12,-2,13,1,12,
-1,13,1],[11,-1],[15,1,14,1,11,-1,14,1,15,1,14,1,11,1,14,1]],[[2,1,1,1],[2,-1,
1,1,2,-1,3,-2],[4,3],[1,1,2,1],[2,1,1,1],[6,2,7,-2,6,1,7,-1],[8,1,5,1],[8,-2,
5,1,8,1],[10,1,9,1,10,1,9,1],[5,1,8,1],[8,1,5,1],[13,1,12,-2,13,1,12,-1,13,
1],[11,1,14,1,11,-1,14,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,
1,1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[6,-2],[6,1,
9,1],[10,1,9,1,11,1,10,1,9,-1,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,
3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[9,
1,6,-1,9,1],[10,1,6,-2,10,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,
1,1,4,1,2,1,3,2],[5,11],[1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[7,1,6,1],[7,1,6,1,7,
1,8,1,7,1,8,2]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,
2],[5,11],[1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[7,1,6,1,7,1,6,1,7,-1,6,1,7,
-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,
1,2,1],[8,2,1,1,2,-1,8,1,1,1],[9,2],[9,1,7,1,10,-1,7,1,9,1,10,1]],[[1,1,2,1],[
2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,
-1,8,1,1,1],[7,1,9,-2,7,1,9,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,
5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,1],[9,1,10,1],[
10,1,11,-2,10,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,
1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,1],[7,1,9,-1,7,1,9,-1,10,
-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,
1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,1],[9,1,10,1],[10,1,11,1,7,1,9,-1,11,
-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,
2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,-1,7,1,9,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[9,
-1,7,1,9,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,
5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,1],[9,2,10,1,7,1,9,-1,10,-2]]],[[[
1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[
8,2,1,1,2,-1,8,1,1,1],[9,1,7,1],[7,1,9,2,10,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[9,2,
7,1,9,2,7,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[
6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[9,-1,7,1,9,1]]],[[[1,1,2,1],[2,1,1,1],[
1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,
1],[7,1,9,1],[10,1,9,1,7,1,9,-1,10,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,
1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[9,2,7,1,9,2,7,
1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,
1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,1],[10,2,9,2,10,1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,
1,1],[7,1,9,-2,7,1,9,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,
2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[9,1,7,1],[7,1,9,-1,10,
-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,
1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,2,7,1,9,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[9,
-1,7,1,9,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,
5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[9,1,7,1,9,2,7,1,9,1]]],[[[1,1,2,1],[2,1,
1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,
1,1,1],[7,1,9,1],[9,1,10,2,9,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,
5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,-2,7,1,9,
-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,
2,1],[8,2,1,1,2,-1,8,1,1,1],[9,1,7,1,9,-3,7,1,9,-1]]],[[[1,1,2,1],[2,1,1,1],[
1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,
1],[7,1,9,1],[9,-3,10,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,
2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[9,1,7,1,9,-1,7,1,9,1]]],[[[
1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[
8,2,1,1,2,-1,8,1,1,1],[7,1,9,-2,7,1,9,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,
1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,1],[
7,1,9,-1,10,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,
1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,1],[9,-1,10,1,9,2]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,
1,2,-1,8,1,1,1],[7,1,9,2,7,1,9,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,
3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,-3,7,1]],[[
1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[
8,2,1,1,2,-1,8,1,1,1],[9,-1,7,1,9,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,
1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,-1,7,1,9,
2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,
1,2,1],[8,2,1,1,2,-1,8,1,1,1],[9,2],[9,1,7,1,10,-1,7,1,9,1,10,1]],[[1,1,2,1],[
2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,
-1,8,1,1,1],[7,1,9,1],[10,1,9,1,7,1,9,1,10,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[9,
-1,7,1,9,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,
5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[9,1,7,1],[7,1,9,-1,10,-2]]],[[[1,1,2,1],[
2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,
-1,8,1,1,1],[9,1,7,1],[9,1,7,1,9,1,10,-2,9,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,
9,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,
1,2,1],[8,2,1,1,2,-1,8,1,1,1],[9,1,7,1,9,-3,7,1,9,-1]]],[[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,
1,1],[9,1,7,1,9,2,7,1,9,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,
3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[9,-1,7,1,9,1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,
1,2,-1,8,1,1,1],[7,1,9,-3,7,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,
2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[9,1,7,1,9,2,7,1,9,
1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,
2,1],[8,2,1,1,2,-1,8,1,1,1],[9,-1,7,1,9,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[
4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,
1],[7,1,9,-1,10,2]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,
4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[6,1,8,-1,9,1,8,
-1,6,1,8,-1,9,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,
3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[8,-1,6,1,8,1]]],[[[1,
1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,
2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[6,1,8,1],[10,1,9,1,10,2,9,1,10,-1]],[[1,1,
2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,
1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,1],[8,1,9,1,8,-1,6,-1,8,1,9,-1]]],[[[1,1,2,
1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,
1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,1,8,-1,6,-2,8,1,6,1,8,1]],[[1,1,2,1],[2,1,1,
1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2]]],[[[2,1,1,1],[2,-1,
1,1,2,-1,3,-2],[4,3],[1,1,2,1],[2,1,1,1],[6,2,7,-2,6,1,7,-1],[8,1,5,1],[9,1,8,
-1,5,1,9,1,8,-1],[5,1,8,1],[11,1,10,1,11,-1],[12,1,10,1,11,1,12,1]],[[2,1,1,
1],[2,-1,1,1,2,-1,3,-2],[4,3],[1,1,2,1],[2,1,1,1],[6,2,7,-2,6,1,7,-1],[8,1,5,
1],[9,1,8,-1,5,1,9,1,8,-1],[10,1,5,1,8,1]]],[[[2,1,1,1],[2,-1,1,1,2,-1,3,-2],[
4,3],[1,1,2,1],[2,1,1,1],[6,2,7,-2,6,1,7,-1],[8,1,5,1],[9,1,8,-1,5,1,9,1,8,
-1],[5,1,8,1],[11,1,10,1,11,-1,10,1,11,1]],[[2,1,1,1],[2,-1,1,1,2,-1,3,-2],[4,
3],[1,1,2,1],[2,1,1,1],[6,2,7,-2,6,1,7,-1],[8,1,5,1],[9,1,8,-1,5,1,9,1,8,-1],[
5,1,8,1],[10,1,11,1,10,1,11,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,
-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,1,8,
1,6,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,
-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,-2,6,1]]],[[[1,1,2,1],[2,1,1,
1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,
2,-1,7,1,1,1],[6,-2],[6,1,8,2],[9,1,10,1,9,1,10,1]],[[1,1,2,1],[2,1,1,1],[2,
-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,
1,1,1],[8,1,6,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,
-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2,8,1,6,-1,8,-1,6,1,8,
2]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,
2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2,8,2,6,-2,8,1]]],[[[1,1,2,1],[2,1,1,
1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,
2,-1,7,1,1,1],[6,-2,8,1,6,1,8,2,6,1,8,-1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,
1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,
-2],[9,1,8,-1,9,1,8,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,
-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,1,6,-2,8,-1,6,
1,8,-1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,
-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,-3,6,1]]],[[[2,1,1,1],[2,-1,
1,1,2,-1,3,-2],[4,3],[1,1,2,1],[2,1,1,1],[6,2,7,-2,6,1,7,-1],[8,1,5,1],[9,1,8,
-1,5,1,9,1,8,-1],[5,1,8,1],[10,1,11,1],[12,1,11,1,10,1,11,-1,12,-1]],[[2,1,1,
1],[2,-1,1,1,2,-1,3,-2],[4,3],[1,1,2,1],[2,1,1,1],[6,2,7,-2,6,1,7,-1],[8,1,5,
1],[9,1,8,-1,5,1,9,1,8,-1],[5,1,8,1],[10,1,11,1,10,1,11,1]],[[2,1,1,1],[2,-1,
1,1,2,-1,3,-2],[4,3],[1,1,2,1],[2,1,1,1],[6,2,7,-2,6,1,7,-1],[8,1,5,1],[9,1,8,
-1,5,1,9,1,8,-1],[5,1,8,1],[11,1,10,1,11,-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,
-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,
1],[6,-2,8,2,6,1,8,1,6,-1,8,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,
1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,2,6,-2,8,
1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[
5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2,8,2,6,-1,8,1,6,-1,8,1]],[[1,1,2,
1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,
1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,-1,6,-1,8,-1,6,-2]]],[[[1,1,2,1],[2,1,1,1],[
2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,
7,1,1,1],[6,-2],[6,1,8,-1,9,1,8,-1,6,1,8,-1,9,1]],[[1,1,2,1],[3,2,1,1,2,-1,3,
1,1,1],[4,-3]]],[[[1,1,2,1],[2,1,1,1],[2,-1,1,1,2,-1,4,-1,1,1,3,-1,4,2,2,-1,3,
-1],[5,5],[1,1,2,1],[2,1,1,1,2,1,7,2],[8,1,2,1,1,1,8,-1],[6,-2],[10,1,9,-1,10,
1,9,2]],[[1,1,2,1],[2,1,1,1],[2,-1,1,1,2,-1,4,-1,1,1,3,-1,4,2,2,-1,3,-1],[5,
5],[1,1,2,1],[2,1,1,1,2,1,7,2],[8,1,2,1,1,1,8,-1],[9,1,6,1],[10,1,9,-1,10,-1,
9,-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,
-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-1,8,-2,6,-1,8,-2]],[[1,1,2,1],[
2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,
2,1,1,2,-1,7,1,1,1],[6,-1,8,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,
-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-1,8,1,6,
-1,8,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,
-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,2,6,1]]],[[[1,1,2,1],[2,1,1,1],[
2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,-1,
7,-1,8,-2,2,1],[6,-2],[10,1,9,1,6,1,9,-1,10,1,9,-1]],[[1,1,2,1],[2,1,1,1],[2,
1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,
-1,8,-2,2,1],[9,1,6,1,9,1],[10,1,6,-2,10,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,
-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,
1],[6,-2],[9,1,8,-1,6,-1,8,-1,9,1,8,1,6,-1,8,-1]],[[1,1,2,1],[2,1,1,1],[2,-1,
4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,
1,1],[6,1,8,-3,6,-2]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,
-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-1,8,-3,6,1]],[[1,
1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,
2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-1,8,1,6,-1,8,1]],[[1,1,2,1],[3,2,1,1,2,-1,3,1,
1,1],[4,-3]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[
5,11],[1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[7,1,6,1],[7,1,6,1,7,1],[9,1,8,-2,9,
-1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[1,
1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[6,1,7,1,6,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,
4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,
1,1],[6,-2],[6,1,8,1],[9,1,8,1,10,2,8,1,9,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,
3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[
6,1,8,1,6,-2,8,2,6,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,
-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2,8,-2,6,-1,8,1,
6,1,8,-1]],[[1,1,2,1],[3,2,1,1,2,-1,3,1,1,1],[4,-3]],[[1,1,2,1],[2,1,1,1],[2,
-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,
1,1,1],[8,1,6,-1,8,-1],[9,1,6,-2,9,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,
4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,
-2],[6,1,8,1],[8,1,10,1,9,1,10,1,8,1,9,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,
1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,
1,6,-1,8,-1],[9,1,6,-2,9,-1]],[[1,1,2,1],[3,2,1,1,2,-1,3,1,1,1],[4,-3]]],[[[1,
1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,
2,1,1,2,-1,8,1,1,1],[7,1,9,-2,7,1,9,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,
2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,-1,7,1,
9,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,
5]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[
5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[9,1,8,-3,9,1]],[[1,1,2,1],[2,1,
1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,
1,2,-1,7,1,1,1],[8,1,6,-1,8,2]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,
-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[9,1,
8,-1,6,-1,8,-1,9,1,8,1,6,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,
1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,-1,8,
2]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[
5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,-1,8,-1,6,-1,8,2]],[[1,1,2,1],[2,
1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,
1,1,2,-1,7,1,1,1],[8,1,6,1,8,-1,6,-1,8,-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,
3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[
8,1,6,1],[6,-2,9,1,8,-1,9,-1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,
1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-1,8,1,6,-1,
8,-2]]],[[[1,1,2,1],[1,1,2,-1],[2,1,1,1,3,-2,2,-1,4,1,2,-1,4,2,3,1],[5,11],[1,
1,2,1],[1,1,2,-1],[8,2,7,1,1,1,2,-1,1,1,7,-1,8,-1],[6,1,9,1],[9,1,6,1],[9,1,
11,-1,10,-1,9,1,10,1,11,1]],[[1,1,2,1],[1,1,2,-1],[2,1,1,1,3,-2,2,-1,4,1,2,-1,
4,2,3,1],[5,11],[1,1,2,1],[1,1,2,-1],[8,2,7,1,1,1,2,-1,1,1,7,-1,8,-1],[6,1,9,
1],[10,1,6,1,9,1,6,1,9,1,10,1]]],[[[2,1,1,1],[2,-1,1,1,2,-1,3,-2],[4,3],[1,1,
2,1],[2,1,1,1],[6,2,7,-2,6,1,7,-1],[8,-2,5,1],[9,6],[5,1,8,-1,5,1,8,1,5,1,8,
-1],[10,1,11,-1,10,1,11,2,10,1]],[[2,1,1,1],[2,-1,1,1,2,-1,3,-2],[4,3],[1,1,2,
1],[2,1,1,1],[6,2,7,-2,6,1,7,-1],[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,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,
1,1,2,-1,7,1,1,1],[6,-2],[9,1,8,-2,9,1,8,1,6,-2,8,1]],[[1,1,2,1],[2,1,1,1],[2,
-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,
1,1,1],[6,1,8,1],[8,2,6,1],[10,1,9,1,10,1,9,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,
-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,
1],[6,-2],[8,2,9,1,8,-1,6,-2,8,-1,9,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,
-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,
1],[8,2,6,-1],[9,1,10,2,9,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,
1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,1,6,-2,
8,-3,6,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,
-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,-2,6,-1]],[[1,1,2,1],[2,1,1,
1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,
2,-1,7,1,1,1],[6,1,8,1],[8,2,6,-1,9,2,6,-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,
-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,
1],[6,-2],[9,1,8,-2,6,-1,8,1,6,1,8,-1,9,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,
1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,
1,6,-1,8,1,6,1,8,2]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,
-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,1,8,1,6,-2,8,1,6,
-1,8,-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,
-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,1,8,-1,6,-2,8,-1,6,1,8,
-1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,
2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,-1,8,-2,6,-1,8,-1]]],[[[1,1,2,1],[
2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,
2,1,1,2,-1,7,1,1,1],[6,-2],[9,1,8,1,6,1,8,-2,6,1,8,-1,9,1]],[[1,1,2,1],[2,1,1,
1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,
2,-1,7,1,1,1],[8,1,6,-1,8,1,6,-1,8,2]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,
4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,
-2],[9,1,6,1,8,2,9,1,8,2,6,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,
1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,1,8,-1,
6,-2,8,-1,6,1,8,-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,
4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[6,1,8,1],[9,1,8,
1,10,2,8,1,9,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,
3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[9,1,6,1,8,1,9,1,8,1,
6,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[
1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[6,1,7,1],[7,1,6,1],[9,1,8,-1,7,-1,8,2,9,
-1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[1,
1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[6,1,7,-1,6,1,7,2,6,1,7,2]]],[[[1,1,2,1],[2,1,1,
1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[1,1,2,-1,1,1,2,-1,1,1,2,
-1,1,1],[6,1,7,1],[8,2,6,1,7,-1,8,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,1,1,
3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[6,1,7,1],[
8,1,6,1,8,-1,7,-1,8,-1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,
2,1,3,2],[5,11],[1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[6,1,7,1],[7,1,8,2,6,1,7,-1,
8,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[
1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[6,1,7,1],[7,1,6,1],[7,2],[8,1,10,1,9,1,10,1,
8,1,9,-1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,
11],[1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[6,1,7,1],[7,1,6,1],[8,1,7,1,9,2,8,-1,7,
-2]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[
1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[6,1,7,1],[8,1,7,1,8,2,6,1,7,-1]],[[1,1,2,1],[
2,1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[1,1,2,-1,1,1,2,-1,1,
1,2,-1,1,1],[7,2],[8,1,7,1,6,1,8,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,
1,4,-1,2,-1,3,2,4,-1],[5,10],[1,1,2,1],[2,1,1,1,7,-2],[6,1,8,1],[8,1,6,1],[9,
2,8,1,10,2,8,2,9,1],[11,1,8,1,6,1,8,-2,11,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,
4,-1,3,1,4,-1,2,-1,3,2,4,-1],[5,10],[1,1,2,1],[2,1,1,1,7,-2],[8,1,6,1,8,-2],[
9,2]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[
1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[6,1,7,1],[7,1,6,1,7,-1],[8,1,9,1,8,1,9,1]],[[
1,1,2,1],[2,1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[1,1,2,-1,
1,1,2,-1,1,1,2,-1,1,1],[7,1,6,1],[6,1,7,-1,6,1,8,1,7,1,8,2]],[[1,1,2,-1,1,1,2,
-1,1,1,2,-1,1,1],[3,5]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,
2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[9,1,7,1,9,-1,7,1,9,-2]],[[
1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[
8,2,1,1,2,-1,8,1,1,1],[7,1,9,-3,7,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,
1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[9,1,7,1],[7,1,
9,-1,10,-2]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[
5,11],[1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[7,1,6,1],[7,2,8,-1,6,1,7,1,8,-1,7,
-1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[1,
1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[6,1,7,1],[8,1,6,1,7,-3,8,-1]]],[[[2,1,1,1],[2,
-1,1,1,2,-1,3,-2],[4,3],[1,1,2,1],[2,1,1,1],[6,2,7,-2,6,1,7,-1],[8,-2,5,1],[9,
6],[5,1,8,-1,5,1,8,1,5,1,8,-1],[11,1,10,1,11,-1]],[[2,1,1,1],[2,-1,1,1,2,-1,3,
-2],[4,3],[1,1,2,1],[2,1,1,1],[6,2,7,-2,6,1,7,-1],[8,-2,5,1],[9,6],[10,1,5,1,
8,-1,5,1,8,1,5,1,8,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,
2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,2,7,1,9,2]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,
1,2,-1,8,1,1,1],[7,1,9,1,7,1,9,-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,1,1,3,
-1,2,1,1,1,4,1,2,1,3,2],[5,11],[1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[6,1,7,1],[7,
1,8,1,7,1,6,1,8,2,7,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,
2,1,3,2],[5,11],[1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[6,1,7,1],[7,3,8,2]]],[[[1,1,
2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,1,2,-1],[2,
1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[9,1,6,-1,9,2,6,1]],[[1,1,2,1],[2,1,1,1],[2,1,
3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,
8,-2,2,1],[9,1,6,-1,9,-1,6,-2]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,1,1,3,-1,2,
1,1,1,4,1,2,1,3,2],[5,11],[1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[6,1,7,1],[7,3,8,
2]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[1,1,
2,-1,1,1,2,-1,1,1,2,-1,1,1],[6,1,7,5,6,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,
1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[6,1,7,
1],[8,1,6,1,7,-2,8,1]],[[1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[3,5]]],[[[1,1,2,1],[
3,2,1,1,2,-1,3,1,1,1],[4,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,
3,2,4,1,2,1],[6,5]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,
1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,1],[10,2,9,2,10,1]],[[1,
1,2,1],[3,2,1,1,2,-1,3,1,1,1],[4,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,
1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[9,1,7,1,9,-3,7,
1,9,-1]],[[1,1,2,1],[3,2,1,1,2,-1,3,1,1,1],[4,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,
2,-1,4,-1,3,1,4,-1,2,-1,3,2,4,-1],[5,10],[1,1,2,1],[2,1,1,1,7,-2],[6,1,8,1],[
8,1,9,3,6,1,8,-1],[10,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,1,4,-1,2,-1,3,
2,4,-1],[5,10],[1,1,2,1],[2,1,1,1,7,-2],[6,1,8,1],[8,1,6,1],[9,1,8,1,10,3,9,
-1,10,1,8,-1],[11,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,
4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,2,7,1,9,-1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,
1,2,-1,8,1,1,1],[9,2,7,1,9,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,
5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[9,2,7,1,9,2,7,1]],[[
1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[
8,2,1,1,2,-1,8,1,1,1],[7,1,9,1],[9,-1,10,2,9,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,
9,-1,7,1,9,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,
3,2],[5,11],[1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[7,2,6,1,7,3,6,1]],[[1,1,2,1],[2,
1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[1,1,2,-1,1,1,2,-1,1,1,
2,-1,1,1],[7,1,6,1],[8,2,7,-1,6,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,1,1,2,-1,4,
-1,1,1,3,-1,4,2,2,-1,3,-1],[5,5],[1,1,2,1],[2,1,1,1,2,1,7,2],[8,1,2,1,1,1,8,
-1],[9,1,6,1,9,1],[10,1,6,-2,10,-1]],[[1,1,2,1],[2,1,1,1],[2,-1,1,1,2,-1,4,-1,
1,1,3,-1,4,2,2,-1,3,-1],[5,5],[1,1,2,1],[2,1,1,1,2,1,7,2],[8,1,2,1,1,1,8,-1],[
6,-1,9,1,6,1,9,-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,
1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[9,1,7,1],[7,1,9,-1,10,-2]],[[1,
1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,
2,1,1,2,-1,8,1,1,1],[9,2,7,1,9,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,
3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,1],[7,1,9,
-1,10,-1,9,1,10,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,
2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,-1,7,1,9,1,7,1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,
1,2,-1,8,1,1,1],[9,1,7,1,9,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,
2,1,1,1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[6,-2],[
10,1,9,-2,10,1,9,-1,6,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,
1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[6,1,9,-2,6,
-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,
1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[6,-2,9,-1,6,1,9,-1,6,1,9,2]]],[[[2,
1,1,1],[2,-1,1,1,2,-1,3,-2],[4,3],[1,1,2,1],[2,1,1,1],[6,2,7,-2,6,1,7,-1],[5,
1,8,1],[8,1,5,1],[5,1,8,-1],[11,1,10,-2,8,-1,11,1,9,2,10,1],[8,-2,5,1,8,1],[
12,1,13,-1,12,-1,13,1]],[[2,1,1,1],[2,-1,1,1,2,-1,3,-2],[4,3],[1,1,2,1],[2,1,
1,1],[6,2,7,-2,6,1,7,-1],[5,1,8,1],[8,1,5,1],[5,1,8,-1],[11,1,10,-2,8,-1,11,1,
9,2,10,1],[12,2]]],[[[2,1,1,1],[2,-1,1,1,2,-1,3,-2],[4,3],[1,1,2,1],[2,1,1,
1],[6,2,7,-2,6,1,7,-1],[5,1,8,1],[8,1,5,1],[5,1,8,-1],[11,1,10,-2,8,-1,11,1,9,
2,10,1],[12,3,8,-2,5,1,8,1,12,-1]],[[2,1,1,1],[2,-1,1,1,2,-1,3,-2],[4,3],[1,1,
2,1],[2,1,1,1],[6,2,7,-2,6,1,7,-1],[5,1,8,1],[8,1,5,1],[5,1,8,-1],[11,1,10,-2,
8,-1,11,1,9,2,10,1],[8,-2,5,1,8,1],[12,1,13,-2,12,-1]]],[[[2,1,1,1],[2,-1,1,1,
2,-1,3,-2],[4,3],[1,1,2,1],[2,1,1,1],[6,2,7,-2,6,1,7,-1],[5,1,8,1],[8,1,5,1],[
5,1,8,-1],[11,1,10,-2,8,-1,11,1,9,2,10,1],[8,-2,5,1,8,1],[12,2],[14,1,13,-1,
14,1,13,1]],[[2,1,1,1],[2,-1,1,1,2,-1,3,-2],[4,3],[1,1,2,1],[2,1,1,1],[6,2,7,
-2,6,1,7,-1],[5,1,8,1],[8,1,5,1],[5,1,8,-1],[11,1,10,-2,8,-1,11,1,9,2,10,1],[
8,-2,5,1,8,1],[12,1,13,2,12,-1]],[[2,1,1,1],[2,-1,1,1,2,-1,3,-2],[4,3],[1,1,2,
1],[2,1,1,1],[6,2,7,-2,6,1,7,-1],[5,1,8,1],[8,1,5,1],[5,1,8,-1],[11,1,10,-2,8,
-1,11,1,9,2,10,1],[12,-1,8,-2,5,1,8,1,12,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,
4,-1,3,1,4,-1,2,-1,3,2,4,-1],[5,10],[1,1,2,1],[2,1,1,1,7,-2],[6,1,8,1],[8,1,6,
1],[10,1,9,-1,8,-1,9,-1,8,1,10,1,9,-1,10,1],[6,1,8,1],[8,1,6,1],[8,1,12,2,13,
2],[11,1,14,-2,11,1,14,2,11,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,1,4,-1,
2,-1,3,2,4,-1],[5,10],[1,1,2,1],[2,1,1,1,7,-2],[6,1,8,1],[8,1,6,1],[10,1,9,-1,
8,-1,9,-1,8,1,10,1,9,-1,10,1],[6,1,8,1],[8,1,6,1],[8,1,12,2,13,2],[14,2,11,1,
14,-2,11,-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,
1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[9,1,8,1,6,1,8,1,9,1,8,
2,6,-1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,
-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[9,1,8,1,9,1,8,2]],[[1,1,2,
1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,
1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[9,1,8,-1,6,-2,8,-2,9,1]]],[[[1,1,2,1],[2,1,
1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,
1,2,-1,7,1,1,1],[8,1,6,-1,8,1,6,1,8,2,6,-2]],[[1,1,2,1],[3,2,1,1,2,-1,3,1,1,
1],[4,-3]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,
-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,2,6,-1]]],[[[1,1,2,1],[2,1,
1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,
1,2,-1,7,1,1,1],[6,-2],[6,1,8,1],[9,1,10,1,9,1,8,1,10,1]],[[1,1,2,1],[2,1,1,
1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,
2,-1,7,1,1,1],[6,1,8,2,6,-1,8,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,
2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,-1,
8,1,6,-2,8,1,6,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,
-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,1],[9,1,6,-2,9,1,8,
1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[
5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[9,1,8,1,6,-1,8,1,9,1,8,1]],[[1,
1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,
2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,-2,8,-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,
-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,
1],[8,1,6,1,8,-1,6,-2,8,-1,6,1,8,-1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,
-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,2,6,
-1,8,-2]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,
-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,-1,8,1,6,1,8,2,6,-2]],[[1,1,
2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,
1],[7,2,1,1,2,-1,7,1,1,1],[8,2,6,-1,8,-2]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,
3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[
8,2,6,-1,8,-1,6,1,8,-1,6,1,8,-1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,
-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,1,6,
-1,8,-3]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,
-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[6,1,8,-2,9,1,8,1,6,-1,8,-1,
9,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[
5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,1,8,-1,6,-2,8,-1,6,1,8,-1]]],[[[
1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,
1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[9,1,8,2,6,-1,8,-2,9,1]],[[1,1,2,1],[2,1,
1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,
1,2,-1,7,1,1,1],[8,1,6,1,8,-1,6,-2,8,-1,6,1,8,-1]]],[[[1,1,2,1],[2,1,1,1],[2,
1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,
-1,8,-2,2,1],[9,3,6,-2,9,1,6,-1,9,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,
3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[6,
1,9,1],[10,1,6,1,9,-1,6,-1,9,-1,10,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,
4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,
6,-1,8,-1,6,-2,8,-2,6,-1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,
2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,-1,8,1,6,1,
8,2,6,-2]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,
4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[6,1,8,1],[9,1,8,1,10,1,9,
1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,
-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2,8,2,6,1,8,1,6,1,8,1]]],[[[1,
1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,
2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,-1,8,-2,6,1,8,-1,6,-2]],[[1,1,2,1],[2,1,1,
1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,
2,-1,7,1,1,1],[8,1,6,-1,8,-1],[9,1,6,-2,9,-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,
-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,
1],[8,1,6,-1,8,-2,6,1,8,-1,6,-2]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,
-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,-1,6,
-2,8,1,6,-1,8,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,
-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[9,1,8,-3,9,1]],[[
1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,
1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2,8,-1,6,-1,8,1,6,-1,8,1]],[[1,1,2,1],[2,1,
1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,
1,2,-1,7,1,1,1],[6,-1,8,-3,6,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,
-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,-1,8,
1,6,1,8,2,6,-2]],[[1,1,2,1],[3,2,1,1,2,-1,3,1,1,1],[4,-3]],[[1,1,2,1],[2,1,1,
1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,
2,-1,7,1,1,1],[6,1,8,-3,6,-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,
-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2,8,1,6,
-1,8,-1,6,1,8,2]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,
3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[9,1,8,-3,9,1]],[[1,1,
2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,
1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,-3,6,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,
-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,
2,1],[9,1,6,-1,9,1],[10,1,6,-2,10,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,
3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[9,
1,6,1,9,2,6,-1,9,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,
4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,2,6,-1,8,-2]],[[1,1,
2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,
1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,2,6,-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,
1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,
-2],[6,1,8,1,9,1,8,-1,6,1,8,-1,9,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,
2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,1,
8,-2,6,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,
4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[8,1,6,1,8,-1,9,1,8,-1,6,
-1,8,-1,9,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,
4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-1,8,-3,6,1]],[[1,1,2,1],[2,1,
1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,
1,2,-1,7,1,1,1],[6,1,8,2,6,-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,
-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,-1,8,
1,6,1,8,2,6,-2]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,
3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,1,6,-1]]],[[[1,1,2,
1],[2,1,1,1],[2,-1,1,1,2,-1,4,-1,1,1,3,-1,4,2,2,-1,3,-1],[5,5],[1,1,2,1],[2,1,
1,1,2,1,7,2],[8,1,2,1,1,1,8,-1],[9,1,6,-1],[10,2,9,1,6,-2]],[[1,1,2,1],[2,1,1,
1],[2,-1,1,1,2,-1,4,-1,1,1,3,-1,4,2,2,-1,3,-1],[5,5],[1,1,2,1],[2,1,1,1,2,1,7,
2],[8,1,2,1,1,1,8,-1],[9,1,6,-1,9,-1,6,-1,9,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,
4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[7,
1,6,1,7,-1,6,1,7,3]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,
3,2],[5,11],[1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[6,1,7,-1,6,1,7,1]]],[[[1,1,2,
1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,
1,1,7,-2,8,-1,7,-1,8,-2,2,1],[6,-2],[10,1,9,-1,6,1,9,-1,6,1,9,-2,10,1]],[[1,1,
2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,1,2,-1],[2,
1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[6,-1,9,3,6,1,9,-1]]],[[[2,1,1,1],[2,-1,1,1,2,
-1,3,-2],[4,3],[1,1,2,1],[2,1,1,1],[6,2,7,-2,6,1,7,-1],[8,-2,5,1],[9,6],[5,1,
8,-1,5,1,8,1,5,1,8,-1],[10,1,11,1,10,1,11,1]],[[2,1,1,1],[2,-1,1,1,2,-1,3,
-2],[4,3],[1,1,2,1],[2,1,1,1],[6,2,7,-2,6,1,7,-1],[5,1,8,-1,5,1,8,1,5,1,8,
-1],[9,2]]],[[[1,1,2,1],[2,1,1,1],[2,-1,1,1,2,-1,4,-1,1,1,3,-1,4,2,2,-1,3,
-1],[5,5],[1,1,2,1],[2,1,1,1,2,1,7,2],[8,1,2,1,1,1,8,-1],[6,-2,9,-1,6,1,9,-2,
6,-1]],[[1,1,2,1],[2,1,1,1],[2,-1,1,1,2,-1,4,-1,1,1,3,-1,4,2,2,-1,3,-1],[5,
5],[1,1,2,1],[2,1,1,1,2,1,7,2],[8,1,2,1,1,1,8,-1],[6,1,9,3,6,-1,9,-1]]],[[[1,
1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,
2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,1,8,1,6,-2,8,2,6,1]],[[1,1,2,1],[2,1,1,1],[
2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,
7,1,1,1],[6,1,8,1,6,-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,1,1,2,-1,4,-1,1,1,3,-1,
4,2,2,-1,3,-1],[5,5],[1,1,2,1],[2,1,1,1,2,1,7,2],[8,1,2,1,1,1,8,-1],[9,1,6,-2,
9,1,6,-2]],[[1,1,2,1],[2,1,1,1],[2,-1,1,1,2,-1,4,-1,1,1,3,-1,4,2,2,-1,3,-1],[
5,5],[1,1,2,1],[2,1,1,1,2,1,7,2],[8,1,2,1,1,1,8,-1],[6,1,9,3,6,-1,9,-1]]],[[[
2,1,1,1],[2,-1,1,1,2,-1,3,-2],[4,3],[1,1,2,1],[2,1,1,1],[6,2,7,-2,6,1,7,-1],[
8,1,5,1],[9,1,8,-1,5,1,9,1,8,-1],[5,1,8,1],[10,1,11,1,10,1,11,-3]],[[2,1,1,
1],[2,-1,1,1,2,-1,3,-2],[4,3],[1,1,2,1],[2,1,1,1],[6,2,7,-2,6,1,7,-1],[8,1,5,
1],[9,1,8,-1,5,1,9,1,8,-1]]],[[[1,1,2,1],[1,1,2,-1],[2,1,1,1,3,-2,2,-1,4,1,2,
-1,4,2,3,1],[5,11],[1,1,2,1],[1,1,2,-1],[8,2,7,1,1,1,2,-1,1,1,7,-1,8,-1],[6,1,
9,1],[10,1,9,2,6,1,10,-1,9,-1]],[[1,1,2,1],[1,1,2,-1],[2,1,1,1,3,-2,2,-1,4,1,
2,-1,4,2,3,1],[5,11],[1,1,2,1],[1,1,2,-1],[8,2,7,1,1,1,2,-1,1,1,7,-1,8,-1],[6,
1,9,1],[10,1,6,1,9,1,6,1,9,1,10,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,1,1,3,
-1,2,1,1,1,4,1,2,1,3,2],[5,11],[1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[6,1,7,1],[8,
2,6,1,7,-1,8,2,7,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,
3,2],[5,11],[1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[6,1,7,-1,6,1,7,1,6,1]]],[[[1,1,
2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,1,2,-1],[2,
1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[9,1,6,-1,9,2,6,1,9,1,6,-2]],[[1,1,2,1],[2,1,1,
1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,
-1,7,-1,8,-2,2,1],[6,1,9,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,
1,1,1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[6,-2,9,
-1,6,-1,9,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,
1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[6,-2,9,3,6,1]]],[[[2,1,1,
1],[2,-1,1,1,2,-1,3,-2],[4,3],[1,1,2,1],[2,1,1,1],[6,2,7,-2,6,1,7,-1],[5,1,8,
1],[8,1,5,1],[5,1,8,-1],[11,1,10,-2,8,-1,11,1,9,2,10,1],[8,-2,5,1,8,1],[12,1,
13,2,12,-1]],[[2,1,1,1],[2,-1,1,1,2,-1,3,-2],[4,3],[1,1,2,1],[2,1,1,1],[6,2,7,
-2,6,1,7,-1],[8,-2,5,1,8,1],[9,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,
3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[9,-3,7,1,9,-1,7,
1,9,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[
1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[9,1,7,1,9,-1,7,1,9,1]],[[1,1,2,1],[2,1,1,1],[
1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,
1],[9,1,7,1,9,2,7,1,9,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,
3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,1],[10,2,7,1,9,
-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,
2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,1],[7,1,9,-1,10,2]],[[1,1,2,1],[2,1,1,1],[
1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,
1],[9,1,7,1],[7,1,9,-1,10,-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,
5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[9,1,7,1],[7,1,9,-1,
10,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[
1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,1],[7,1,9,-1,10,2]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,
1,1],[9,-1,7,1,9,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,
2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,-3,7,1]]],[[[1,1,2,1],[2,1,
1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,
1,1,1],[7,1,9,-1],[10,2,7,1,9,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,
2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[9,2,7,1,9,-1,7,
1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,
1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,1],[10,2,7,1,9,1]],[[1,1,2,1],[2,1,1,1],[
1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,
1],[7,1,9,-1,7,1,9,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,
4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[9,2,7,1,9,2,7,1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,
1,2,-1,8,1,1,1],[9,-1,7,1,9,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,
5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[9,1,7,1,9,2,7,1,9,
1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,
1,2,1],[8,2,1,1,2,-1,8,1,1,1],[9,2,7,1,9,-1,7,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[9,
-1,7,1,9,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[
6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,-2,7,1,9,2]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,
1,1],[7,1,9,-1,7,1,9,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,
4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,1,7,1,9,-1]]],[[[1,1,2,
1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,
1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[9,1,8,-1,6,-1,8,1,9,1]],[[1,1,2,1],[2,1,1,
1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,
2,-1,7,1,1,1],[6,-2,8,2,6,-1,8,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,
-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,2],[9,1,
6,-2,9,-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,
4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,2,6,1,8,1,6,1,8,1,6,-2]],[[1,
1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,
2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,1,1,2,-1,
4,-1,1,1,3,-1,4,2,2,-1,3,-1],[5,5],[1,1,2,1],[2,1,1,1,2,1,7,2],[8,1,2,1,1,1,8,
-1],[6,-2],[10,1,9,-2,10,1,9,1,6,1]],[[1,1,2,1],[2,1,1,1],[2,-1,1,1,2,-1,4,-1,
1,1,3,-1,4,2,2,-1,3,-1],[5,5],[1,1,2,1],[2,1,1,1,2,1,7,2],[8,1,2,1,1,1,8,-1],[
9,1,6,1,9,-2]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,
3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,-1,8,1,6,1,8,-1,6,
-2]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,
2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[9,1,8,1,9,1,8,1,6,1]]],[[[2,1,1,
1],[2,-1,1,1,2,-1,3,-2],[4,3],[1,1,2,1],[2,1,1,1],[6,2,7,-2,6,1,7,-1],[8,1,5,
1],[9,1,8,-1,5,1,9,1,8,-1],[5,1,8,1],[11,1,10,1,11,-1]],[[2,1,1,1],[2,-1,1,1,
2,-1,3,-2],[4,3],[1,1,2,1],[2,1,1,1],[6,2,7,-2,6,1,7,-1],[8,1,5,1],[9,1,8,-1,
5,1,9,1,8,-1],[10,1,5,1,8,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,
1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[9,1,8,
1,6,-2,8,2,9,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,
3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,1],[6,-2,8,1,9,2,8,
1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,
2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[9,1,8,-1,9,1,8,1]]],[[[1,1,2,1],[
2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,
2,1,1,2,-1,7,1,1,1],[6,-2],[9,1,8,-1,9,1,8,-1,6,1,8,-1,9,1]],[[1,1,2,1],[2,1,
1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,
1,2,-1,7,1,1,1],[6,-1,8,-3,6,-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,
2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2,8,
-2,6,-1,8,2]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,
4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-1,8,-3,6,-1]]],[[[1,1,2,1],[
2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,
2,1,1,2,-1,7,1,1,1],[6,-2,8,2,6,-1,8,1,6,-1,8,1]],[[1,1,2,1],[2,1,1,1],[2,-1,
4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,
1,1],[6,-2,8,1,6,-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,
-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2,8,2,6,-1,8,1,6,
-1,8,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,
-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,2,6,-2,8,2,6,1]]],[[[1,1,2,1],[
2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,
2,1,1,2,-1,7,1,1,1],[6,-2],[9,1,8,2,6,-1,8,-2,9,1]],[[1,1,2,1],[3,2,1,1,2,-1,
3,1,1,1],[4,-3]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,
3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,1],[9,1,6,-2,9,-1,8,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[
5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,-2,8,-1,6,-1,8,-1]],[[1,1,2,1],[
3,2,1,1,2,-1,3,1,1,1],[4,-3]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,
1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,2,6,-2,8,2,
6,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[
5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-1,8,-3,6,1]]],[[[1,1,2,1],[2,1,1,
1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,
2,-1,7,1,1,1],[6,1,8,1],[9,1,8,1,6,-2,8,1,9,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,
-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,
1],[8,1,6,-1,8,2]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,
-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[9,1,8,-3,9,
1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[
5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[9,1,8,-2,6,-1,9,1,8,1,6,-1]],[[
1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,
1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2,8,2,6,-1,8,1,6,-1,8,1]],[[1,1,2,1],[3,2,1,
1,2,-1,3,1,1,1],[4,-3]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,
1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[6,-2],[10,1,
9,1,6,1,9,-3,6,-1,10,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,
1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[6,1,9,1],[10,
1,9,1,10,1,9,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[
1,1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[6,1,9,-2,6,-2,9,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[
1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[6,1,7,1],[8,1,7,2,8,1,7,1,6,1]],[[1,1,2,1],[
2,1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[1,1,2,-1,1,1,2,-1,1,
1,2,-1,1,1],[7,1,6,1,7,-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,
1,4,1,2,1,3,2],[5,11],[1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[6,1,7,1],[7,1,6,1],[8,
1,7,1,9,2,7,-1,8,-1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,
1,3,2],[5,11],[1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[6,1,7,1],[7,1,8,2,7,3,6,
1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,
1,2,1],[8,2,1,1,2,-1,8,1,1,1],[9,2,7,1,9,-1,7,1,9,-2]],[[1,1,2,1],[2,1,1,1],[
1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5]]],[[[1,1,2,1],[1,1,2,-1],[2,1,1,
1,3,-2,2,-1,4,1,2,-1,4,2,3,1],[5,11],[1,1,2,1],[1,1,2,-1],[8,2,7,1,1,1,2,-1,1,
1,7,-1,8,-1],[6,1,9,1],[9,1,6,1],[9,1,11,-1,10,-1,9,1,10,1,11,1]],[[1,1,2,1],[
1,1,2,-1],[2,1,1,1,3,-2,2,-1,4,1,2,-1,4,2,3,1],[5,11],[1,1,2,1],[1,1,2,-1],[8,
2,7,1,1,1,2,-1,1,1,7,-1,8,-1],[6,1,9,1,6,1,9,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,
4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,
1,1],[6,1,8,1],[9,2,8,2,6,-1,9,-1]],[[1,1,2,1],[3,2,1,1,2,-1,3,1,1,1],[4,
-3]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,
2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[9,1,8,-3,9,1]],[[1,1,2,1],[2,1,1,
1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,
2,-1,7,1,1,1],[6,1,8,-3,6,-1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,
1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-1,8,-3,6,
1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[
5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[9,1,8,-2,9,1,8,1,6,-2,8,1]],[[1,
1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,
2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,1],[9,1,6,1,8,-1,9,-1,8,-1,6,1,8,-1]],[[1,
1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,
2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,1],[8,2,6,-1],[9,1,10,2,9,1]]],[[[1,1,2,
1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,
1],[7,2,1,1,2,-1,7,1,1,1],[6,-2,8,1,6,-1,8,-1,6,1,8,2]],[[1,1,2,1],[2,1,1,1],[
2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,
7,1,1,1],[8,1,6,-1,8,1,6,1,8,2,6,-2]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,
-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,
-1,8,-2,6,1,8,-1,6,-2]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,
-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[6,1,8,1],[9,
1,8,1,10,1,9,1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,
4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,-2,8,1]],[[1,1,2,
1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,
1],[7,2,1,1,2,-1,7,1,1,1],[8,2],[9,1,6,-2,9,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,
4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,
1,1],[6,-1,8,-3,6,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,
4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,1,6,-1]],[[1,1,2,
1],[3,2,1,1,2,-1,3,1,1,1],[4,-3]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,
2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,-1,
8,1,6,-2,8,1,6,-1,8,-1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,
-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,-2,8,-1,6,
-2]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,
2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[9,1,8,-1,9,1,8,1,9,1]],[[1,1,2,
1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,
1],[7,2,1,1,2,-1,7,1,1,1],[8,2],[9,1,6,-2,9,-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,
4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,
1,1],[6,-2],[9,1,6,1,8,2,9,1,8,2,6,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,
-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,2,6,
-2,8,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,
-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2,8,1,6,-1,8,-1,6,1,8,-1]]],[[[
1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,
1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,1,8,-1,6,-2,8,-1,6,1,8,-1]],[[1,1,2,1],[
2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,
2,1,1,2,-1,7,1,1,1],[8,2,6,-2,8,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,
-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,
-2],[8,1,6,1],[9,1,10,2,8,-1,9,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,
-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,-3,6,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[
5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2,8,1,6,-1,8,-1,6,1,8,2]],[[1,1,2,
1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,
1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,2,6,-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,
1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,
1,6,-1,8,-2,6,1,8,-1,6,-2]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,
2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[9,1,6,1,8,
1,9,1,8,1,6,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,
3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[9,1,6,1,8,1,9,1,8,1,
6,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[
5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,-1,8,1,6,1,8,-1,6,-2]]],[[[1,1,2,
1],[2,1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[1,1,2,-1,1,1,2,
-1,1,1,2,-1,1,1],[6,1,7,1],[7,1,6,1,7,-1],[8,1,9,1,8,-1,9,1]],[[1,1,2,1],[2,1,
1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[1,1,2,-1,1,1,2,-1,1,1,2,
-1,1,1],[6,1,7,1],[8,2,6,1,7,-1,8,1,7,1]]],[[[1,1,2,1],[1,1,2,-1],[2,1,1,1,3,
-2,2,-1,4,1,2,-1,4,2,3,1],[5,11],[1,1,2,1],[1,1,2,-1],[8,2,7,1,1,1,2,-1,1,1,7,
-1,8,-1],[6,1,9,1],[6,1,9,-2,6,1,9,-1,10,2,9,1]],[[1,1,2,1],[1,1,2,-1],[2,1,1,
1,3,-2,2,-1,4,1,2,-1,4,2,3,1],[5,11],[1,1,2,1],[1,1,2,-1],[8,2,7,1,1,1,2,-1,1,
1,7,-1,8,-1],[6,1,9,1],[9,1,10,1],[11,1,9,1,6,1,10,-1,11,-1]]],[[[2,1,1,1],[2,
-1,1,1,2,-1,3,-2],[4,3],[1,1,2,1],[2,1,1,1],[6,2,7,-2,6,1,7,-1],[5,1,8,1],[9,
2,8,1,9,2,8,1,5,1],[5,1,8,1],[11,4,8,1],[10,1,12,1],[13,1,10,1,13,-2]],[[2,1,
1,1],[2,-1,1,1,2,-1,3,-2],[4,3],[1,1,2,1],[2,1,1,1],[6,2,7,-2,6,1,7,-1],[5,1,
8,1],[9,2,8,1,9,2,8,1,5,1],[5,1,8,1],[11,4,8,1],[12,1,10,1,12,1,10,1]]],[[[1,
1,2,1],[2,1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[1,1,2,-1,1,
1,2,-1,1,1,2,-1,1,1],[6,1,7,1],[6,1,8,-1,7,1,6,1,7,-1,8,1]],[[1,1,2,1],[2,1,1,
1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[1,1,2,-1,1,1,2,-1,1,1,2,
-1,1,1],[6,1,7,1],[7,2,8,1,7,1,8,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,
1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,-2,7,1,9,
-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,
2,1],[8,2,1,1,2,-1,8,1,1,1],[9,1,7,1,9,1,7,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,
9,1],[10,-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,
1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[9,1,7,1,9,2,7,1,9,1]],[[1,1,2,1],[
3,2,1,1,2,-1,3,1,1,1],[4,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,
2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[9,2,7,1,9,-2,7,1]]],[[[
1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[
8,2,1,1,2,-1,8,1,1,1],[7,1,9,2,7,1,9,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,
2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[9,1,7,1,9,-1,
7,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,
1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,-2,7,1,9,-2]]],[[[1,1,2,1],[2,1,1,1],[1,
1,2,-1,4,-1,3,1,4,-1,2,-1,3,2,4,-1],[5,10],[1,1,2,1],[2,1,1,1,7,-2],[6,1,8,
1],[8,1,6,1],[9,2,8,1,10,2,8,2,9,1],[8,1,6,1,8,-2],[11,-1,12,2,11,1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1,4,-1,3,1,4,-1,2,-1,3,2,4,-1],[5,10],[1,1,2,1],[2,1,1,1,
7,-2],[6,1,8,1],[8,1,6,1],[9,2,8,1,10,2,8,2,9,1],[8,1,6,1,8,-2,11,2]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1,4,-1,3,1,4,-1,2,-1,3,2,4,-1],[5,10],[1,1,2,1],[2,1,1,1,
7,-2],[6,1,8,1],[8,1,6,1],[9,2,8,1,10,2,8,2,9,1],[8,1,6,1,8,-2],[11,1,12,2,11,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[
1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[6,1,7,1],[7,1,6,1],[8,2],[9,1,10,-1,9,1,10,
-1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[1,
1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[7,1,6,1],[8,1,7,-1,6,1,7,1,8,2]],[[1,1,2,1],[2,
1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[1,1,2,-1,1,1,2,-1,1,1,
2,-1,1,1],[6,1,7,1],[8,1,6,1,7,-1,8,1,7,1,8,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,
9,-1,7,1,9,-3]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,
1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[9,-1,7,1,9,1]]],[[[1,1,2,1],[2,1,1,
1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[1,1,2,-1,1,1,2,-1,1,1,2,
-1,1,1],[6,1,7,1],[7,1,6,1],[9,1,8,-1,7,-1,8,2,9,-1]],[[1,1,2,1],[2,1,1,1],[2,
-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[1,1,2,-1,1,1,2,-1,1,1,2,-1,1,
1],[6,1,7,1],[8,1,7,2,6,1,8,-1,7,-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,1,1,3,
-1,2,1,1,1,4,1,2,1,3,2],[5,11],[1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[6,1,7,1],[7,
1,6,1,7,-1,8,1,6,1,7,-2,8,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,
1,4,1,2,1,3,2],[5,11],[1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[6,1,7,1],[8,1,7,2,6,1,
8,-2]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,
11],[1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[6,1,7,1],[7,1,6,1],[7,1,8,1,9,1,7,1,9,1,
8,-1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[
1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[6,1,7,1],[7,1,6,1,7,-1],[8,1,9,1,8,1,9,1]],[[
1,1,2,1],[2,1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[1,1,2,-1,
1,1,2,-1,1,1,2,-1,1,1],[7,1,6,1],[6,1,7,-1,6,1,8,1,7,1,8,2]]],[[[1,1,2,1],[2,
1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,
8,1,1,1],[7,1,9,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,
2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[9,1,7,1,9,1]]],[[[1,1,2,1],[2,1,
1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[1,1,2,-1,1,1,2,-1,1,1,2,
-1,1,1],[6,1,7,1],[7,1,6,1],[7,1,8,1,9,-2,8,-1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,
-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[6,1,
7,1],[7,2,8,2,7,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,1,4,-1,2,-1,3,2,4,
-1],[5,10],[1,1,2,1],[2,1,1,1,7,-2],[6,1,8,1],[8,1,6,1],[9,2,8,1,10,2,8,2,9,
1],[8,1,6,1,8,-2],[12,1,11,-1,12,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,1,
4,-1,2,-1,3,2,4,-1],[5,10],[1,1,2,1],[2,1,1,1,7,-2],[6,1,8,1],[8,1,6,1],[9,2,
8,1,10,2,8,2,9,1],[8,1,6,1,8,-2],[12,1,11,1,12,1]]],[[[1,1,2,1],[2,1,1,1],[1,
1,2,-1,4,-1,3,1,4,-1,2,-1,3,2,4,-1],[5,10],[1,1,2,1],[2,1,1,1,7,-2],[6,1,8,
1],[8,1,6,1],[9,2,8,1,10,2,8,2,9,1],[11,1,8,1,6,1,8,-2,11,1]],[[1,1,2,1],[2,1,
1,1],[1,1,2,-1,4,-1,3,1,4,-1,2,-1,3,2,4,-1],[5,10],[1,1,2,1],[2,1,1,1,7,-2],[
8,2,6,-1,8,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,1,4,-1,2,-1,3,2,4,
-1],[5,10],[1,1,2,1],[2,1,1,1,7,-2],[6,1,8,1],[8,1,6,1],[9,2,8,1,10,2,8,2,9,
1],[8,1,6,1,8,-2],[12,1,11,1,12,-1,11,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,
-1,3,1,4,-1,2,-1,3,2,4,-1],[5,10],[1,1,2,1],[2,1,1,1,7,-2],[6,1,8,1],[8,1,6,
1],[9,2,8,1,10,2,8,2,9,1],[11,1,8,2,6,-1,8,-1,11,1]]],[[[1,1,2,1],[2,1,1,1],[
2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[1,1,2,-1,1,1,2,-1,1,1,2,-1,1,
1],[6,1,7,1],[7,1,6,1],[8,2,9,-2,7,-1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,1,1,3,
-1,2,1,1,1,4,1,2,1,3,2],[5,11],[1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[6,1,7,1],[8,
1,7,2,8,1,7,1,6,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,
1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,1],[10,2,9,2,10,1]],[[1,
1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5]]],[[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,
1,2,-1,8,1,1,1],[9,1,7,1,9,-2,7,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,
3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[9,-1,7,1,9,1]],[[
1,1,2,1],[3,2,1,1,2,-1,3,1,1,1],[4,-3]]],[[[2,1,1,1],[2,-1,1,1,2,-1,3,-2],[4,
3],[1,1,2,1],[2,1,1,1],[6,2,7,-2,6,1,7,-1],[5,1,8,1],[8,1,5,1],[5,1,8,-1],[11,
1,10,-2,8,-1,11,1,9,2,10,1],[8,-2,5,1,8,1],[13,1,12,-2,13,-1]],[[2,1,1,1],[2,
-1,1,1,2,-1,3,-2],[4,3],[1,1,2,1],[2,1,1,1],[6,2,7,-2,6,1,7,-1],[5,1,8,1],[8,
1,5,1],[5,1,8,-1],[11,1,10,-2,8,-1,11,1,9,2,10,1],[12,-1,8,-2,5,1,8,1,12,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,
1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[9,1,6,1],[10,1,9,-1,6,-1,10,1,9,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,
1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[9,5,6,1]]],[[[1,1,2,1],[2,1,1,1],[
2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,
7,1,1,1],[6,-2],[8,1,9,1,8,1,6,1,8,1,9,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,
1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,
1,6,-1,8,-1,6,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,
5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[6,1,9,1],[9,1,10,4,
9,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,
1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[9,5,6,1]]],[[[1,1,2,1],[2,1,1,1],[
2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,
7,1,1,1],[6,-2],[9,1,8,2,6,-1,8,-2,9,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,
4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,
6,-1,8,-1,6,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,
3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[9,1,8,1,6,1,8,-1,9,1,
6,1,8,2]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,
-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,2,6,-1,8,1,6,1]]],[[[1,1,2,1],[
2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,
7,-2,8,-1,7,-1,8,-2,2,1],[6,1,9,1],[10,1,6,1,9,-2,10,2,6,-2]],[[1,1,2,1],[2,1,
1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,
8,-1,7,-1,8,-2,2,1],[6,1,9,1],[6,-2,10,1,9,3,10,1]],[[1,1,2,1],[2,1,1,1],[2,1,
3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,
8,-2,2,1],[9,1,6,-2,9,-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,
1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2,8,2,6,-1,8,
1,6,-1,8,1]],[[1,1,2,1],[3,2,1,1,2,-1,3,1,1,1],[4,-3]],[[1,1,2,1],[2,1,1,1],[
2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,
7,1,1,1],[6,-2,8,2,6,1,8,1,6,1,8,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,
-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,
-1,8,-2,6,1,8,-1,6,-2]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,
-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,-1,6,-2,8,1,6,
-1,8,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,
-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,-1,8,-1],[9,1,6,-2,9,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[
1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[6,1,9,2],[6,-2,10,2]],[[1,1,2,
1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,
1,1,7,-2,8,-1,7,-1,8,-2,2,1],[9,1,6,1,9,1,6,1,9,-2]],[[1,1,2,1],[2,1,1,1],[2,
1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,
-1,8,-2,2,1],[6,-2,9,1,6,-2,9,-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,
2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[8,
1,6,1,8,1,9,1,8,-2,9,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,
-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,2,6,-1,8,-1,6,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[
5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2,8,1,6,1,8,2,6,1,8,-1]],[[1,1,2,
1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,
1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,-2,8,-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,
3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[
6,1,8,1],[6,-2,8,-1,9,-2,8,-1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,
1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[8,2,9,
1,8,1,9,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,
-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,-2,8,2]]],[[[1,1,2,1],[2,1,
1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,
1,2,-1,7,1,1,1],[6,-2],[8,1,9,1,8,1,6,1,8,1,9,1]],[[1,1,2,1],[2,1,1,1],[2,-1,
4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,
1,1],[8,1,6,1,8,-1,6,1,8,-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,
1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[9,1,8,
-1,6,1,8,1,9,1]],[[1,1,2,1],[3,2,1,1,2,-1,3,1,1,1],[4,-3]]],[[[1,1,2,1],[2,1,
1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,
1,2,-1,7,1,1,1],[6,-2],[9,1,8,-2,9,1,8,1,6,1,8,1]],[[1,1,2,1],[3,2,1,1,2,-1,3,
1,1,1],[4,-3]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,
3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[9,1,8,2,6,-1,8,1,6,
-1,8,-1,9,1]],[[1,1,2,1],[3,2,1,1,2,-1,3,1,1,1],[4,-3]]],[[[1,1,2,1],[2,1,1,
1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,
-1,7,-1,8,-2,2,1],[9,2,6,-2,9,-2,6,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,
1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[
6,-2,9,-1,6,1,9,1,6,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,
1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[9,1,6,-1,9,
1],[10,1,6,-2,10,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,
5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[6,-2,9,1,6,1,9,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,
1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[6,1,9,2],[10,1,6,-2,10,-1]],[[1,1,
2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,1,2,-1],[2,
1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[6,-2,9,-1,6,-1,9,-2]]],[[[1,1,2,1],[2,1,1,1],[
1,1,2,-1,4,-1,3,1,4,-1,2,-1,3,2,4,-1],[5,10],[1,1,2,1],[2,1,1,1,7,-2],[6,1,8,
1],[9,1,8,1,9,1],[10,3],[8,1,6,1,8,1],[12,2,8,1,6,1],[13,3],[14,1,11,1,14,-1,
11,1,14,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,1,4,-1,2,-1,3,2,4,-1],[5,
10],[1,1,2,1],[2,1,1,1,7,-2],[6,1,8,1],[9,1,8,1,9,1],[10,3]]],[[[1,1,2,1],[2,
1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,
1,1,2,-1,7,1,1,1],[6,-2,8,2,6,-1,8,1,6,-1,8,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,
-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,
1],[6,1,8,2,6,-1,8,-1,6,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,
1,1,1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[9,2,6,-2,
9,1,6,-1,9,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,
1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[6,1,9,-2,6,-1]]],[[[1,1,
2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,1,2,-1],[2,
1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[9,1,6,-2,9,1,6,1,9,-1]],[[1,1,2,1],[2,1,1,1],[
2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,-1,
7,-1,8,-2,2,1],[6,-1,9,3,6,1,9,-1]]],[[[2,1,1,1],[2,-1,1,1,2,-1,3,-2],[4,3],[
1,1,2,1],[2,1,1,1],[6,2,7,-2,6,1,7,-1],[5,1,8,-1,5,1,8,1,5,1,8,-1],[9,2]],[[2,
1,1,1],[2,-1,1,1,2,-1,3,-2],[4,3],[1,1,2,1],[2,1,1,1],[6,2,7,-2,6,1,7,-1],[8,
-2,5,1],[9,6]]],[[[2,1,1,1],[2,-1,1,1,2,-1,3,-2],[4,3],[1,1,2,1],[2,1,1,1],[6,
2,7,-2,6,1,7,-1],[5,1,8,-1,5,1,8,1,5,1,8,-1],[9,2]],[[2,1,1,1],[2,-1,1,1,2,-1,
3,-2],[4,3],[1,1,2,1],[2,1,1,1],[6,2,7,-2,6,1,7,-1],[8,-2,5,1],[9,6],[10,1,5,
1,8,-1,5,1,8,1,5,1,8,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,
1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[6,-2],[10,1,
6,1,9,1,10,1,9,-1,6,1,9,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,
1,1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[6,-1,9,3,6,
1,9,-1]]],[[[2,1,1,1],[2,-1,1,1,2,-1,3,-2],[4,3],[1,1,2,1],[2,1,1,1],[6,2,7,
-2,6,1,7,-1],[8,-2,5,1],[9,6],[10,1,5,1,8,-1,5,1,8,1,5,1,8,-1,10,1]],[[2,1,1,
1],[2,-1,1,1,2,-1,3,-2],[4,3],[1,1,2,1],[2,1,1,1],[6,2,7,-2,6,1,7,-1],[8,1,5,
-1,8,-1,5,-1,8,1,5,-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,1,1,2,-1,4,-1,1,1,3,-1,4,
2,2,-1,3,-1],[5,5],[1,1,2,1],[2,1,1,1,2,1,7,2],[8,1,2,1,1,1,8,-1],[9,1,6,-2,9,
1,6,-2]],[[1,1,2,1],[2,1,1,1],[2,-1,1,1,2,-1,4,-1,1,1,3,-1,4,2,2,-1,3,-1],[5,
5],[1,1,2,1],[2,1,1,1,2,1,7,2],[8,1,2,1,1,1,8,-1],[6,1,9,2,6,1,9,-1]]],[[[1,1,
2,1],[2,1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[1,1,2,-1,1,1,
2,-1,1,1,2,-1,1,1],[6,1,7,1],[7,1,6,1,8,-2,7,2]],[[1,1,2,1],[2,1,1,1],[2,-1,4,
-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[6,1,
7,-2,6,1,7,2,6,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,
-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,1,6,-2,8,-3,6,
1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,
2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,-2,6,-1]],[[1,1,2,1],[2,1,1,1],[2,
-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,
1,1,1],[8,1,6,-1,8,1,6,-2,8,1,6,-1,8,-1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,
4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,
-3,6,1,8,-1,6,-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,
-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,-1,8,-2,6,-1,8,
-1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,
2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,1,8,-1,6,1,8,2]],[[1,1,2,1],[2,1,1,
1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,
2,-1,7,1,1,1],[8,1,6,-1,8,1,6,-1,8,2]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,
4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,
-2],[9,1,8,1,6,1,8,-2,6,1,8,-1,9,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,
2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[9,
1,6,1,8,1,9,1,8,1,6,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,
-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,1,8,-1,6,1,8,
2]]],[[[2,1,1,1],[2,-1,1,1,2,-1,3,-2],[4,3],[1,1,2,1],[2,1,1,1],[6,2,7,-2,6,1,
7,-1],[5,1,8,1],[8,1,5,1],[5,1,8,-1],[11,1,10,-2,8,-1,11,1,9,2,10,1],[8,-2,5,
1,8,1],[13,1,12,-1,13,1,12,1]],[[2,1,1,1],[2,-1,1,1,2,-1,3,-2],[4,3],[1,1,2,
1],[2,1,1,1],[6,2,7,-2,6,1,7,-1],[8,-2,5,1,8,1],[9,2]],[[2,1,1,1],[2,-1,1,1,2,
-1,3,-2],[4,3],[1,1,2,1],[2,1,1,1],[6,2,7,-2,6,1,7,-1],[5,1,8,1],[8,1,5,1],[5,
1,8,-1],[11,1,10,-2,8,-1,11,1,9,2,10,1],[8,-2,5,1,8,1],[12,-1,13,2,12,1]]],[[[
2,1,1,1],[2,-1,1,1,2,-1,3,-2],[4,3],[1,1,2,1],[2,1,1,1],[6,2,7,-2,6,1,7,-1],[
5,1,8,1],[8,1,5,1],[5,1,8,-1],[11,1,10,-2,8,-1,11,1,9,2,10,1],[8,-2,5,1,8,1],[
12,1,13,-2,12,-1]],[[2,1,1,1],[2,-1,1,1,2,-1,3,-2],[4,3],[1,1,2,1],[2,1,1,1],[
6,2,7,-2,6,1,7,-1],[8,-1,5,-1,8,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,
1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[9,2,7,1,9,-1,7,
1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,
2,1],[8,2,1,1,2,-1,8,1,1,1],[9,-1,7,1,9,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[
4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,-3,
7,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[
1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[7,1,6,1],[7,1,6,1,7,1],[9,1,8,-2,9,-1]],[[1,
1,2,1],[2,1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[1,1,2,-1,1,
1,2,-1,1,1,2,-1,1,1],[6,1,7,1,6,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,1,1,3,
-1,2,1,1,1,4,1,2,1,3,2],[5,11],[1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[7,1,6,1],[8,
1,7,-1,6,1,7,1,8,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,
1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,-2,7,1,9,2]],[[1,1,2,1],[
2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,
-1,8,1,1,1],[7,1,9,1,7,1,9,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,
5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[9,-1,7,1,9,1]],[[1,1,
2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5]]],[[[1,1,2,1],[
2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,
2,1,1,2,-1,7,1,1,1],[6,-2],[8,1,6,1,8,-1,9,1,6,1,8,2,9,1]],[[1,1,2,1],[2,1,1,
1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,
2,-1,7,1,1,1],[8,-3,6,1,8,1,6,-2]],[[1,1,2,1],[3,2,1,1,2,-1,3,1,1,1],[4,
-3]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[
1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[9,2,6,-2,9,-2,6,-1]],[[1,1,2,1],[
2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,
7,-2,8,-1,7,-1,8,-2,2,1],[9,1,6,-1,9,2,6,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,
-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,
1],[6,-2,8,2,6,-1,8,1,6,-1,8,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,
-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,2,6,-2,8,
2,6,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,
-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-1,8,-3,6,1]]],[[[1,1,2,1],[1,1,
2,-1],[2,1,1,1,3,-2,2,-1,4,1,2,-1,4,2,3,1],[5,11],[1,1,2,1],[1,1,2,-1],[8,2,7,
1,1,1,2,-1,1,1,7,-1,8,-1],[6,1,9,1],[9,1,6,1],[9,1,11,-1,10,-1,9,1,10,1,11,
1]],[[1,1,2,1],[1,1,2,-1],[2,1,1,1,3,-2,2,-1,4,1,2,-1,4,2,3,1],[5,11],[1,1,2,
1],[1,1,2,-1],[8,2,7,1,1,1,2,-1,1,1,7,-1,8,-1],[6,1,9,1]]],[[[1,1,2,1],[2,1,1,
1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,
2,-1,7,1,1,1],[8,1,6,-1,8,1,6,1,8,2,6,-2]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,
1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,
1,6,1,8,1,6,-2,8,-1,6,1,8,-1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,
1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,-1,8,-2,
6,1,8,-1,6,-2]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,
3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,-1,6,-2,8,1,6,-1,8,
1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,
2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,1],[6,-2,9,1,8,-1,9,-1]]],[[[1,1,2,
1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,
1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,1,8,-1,6,-2,8,-1,6,1,8,-1]],[[1,1,2,1],[2,1,
1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,
1,2,-1,7,1,1,1],[8,2,6,-1,8,1,6,1,8,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,
4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,
-2],[9,1,8,2,6,1,8,1,6,-1,8,1,9,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,
2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,-1,
8,1,6,-1,8,2]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,
3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,-1,8,1,6,1,8,-1,6,
-2]],[[1,1,2,1],[3,2,1,1,2,-1,3,1,1,1],[4,-3]],[[1,1,2,1],[2,1,1,1],[2,-1,4,
-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,
1],[6,-2],[9,1,8,-3,9,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,
2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[6,1,8,2,9,
1,8,-1,6,1,8,-1,9,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,
4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2,8,1,6,1,8,-1,6,
1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,
2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[9,1,8,-2,6,-1,9,1,8,2,6,1]]],[[[1,
1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,
2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[9,1,8,1,6,1,8,-1,9,1,8,-1,6,-1]],[[1,1,2,
1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,
1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[9,1,8,1,6,-1,8,-2,6,-1,9,1]],[[1,1,2,1],[2,
1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,
1,1,2,-1,7,1,1,1],[6,-2,8,-2,6,-1,8,1,6,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,
3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[
6,-2],[8,2],[9,1,10,-1,9,1,10,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,
-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,2,6,-1,8,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,
1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[6,-2,9,-1,6,1,9,1,6,1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,
1,1,7,-2,8,-1,7,-1,8,-2,2,1],[9,1,6,1,9,-1,6,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,
4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,
1,1],[6,-2,8,1,6,-1,8,-1,6,1,8,2]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,
-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,1,6,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[
5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,-1,8,1,6,1,8,2,6,-2]],[[1,1,2,
1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,
1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,1,6,-1]],[[1,1,2,1],[3,2,1,1,2,-1,3,1,1,1],[
4,-3]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,
11],[1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[6,1,7,1],[8,2,6,1,7,-1,8,1,7,1]],[[1,1,
2,1],[2,1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[1,1,2,-1,1,1,
2,-1,1,1,2,-1,1,1],[6,1,7,1],[8,1,7,1,6,1,7,-1,8,-1]],[[1,1,2,1],[2,1,1,1],[2,
-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[1,1,2,-1,1,1,2,-1,1,1,2,-1,1,
1],[7,1,6,1,7,-1]]],[[[1,1,2,1],[1,1,2,-1],[2,1,1,1,3,-2,2,-1,4,1,2,-1,4,2,3,
1],[5,11],[1,1,2,1],[1,1,2,-1],[8,2,7,1,1,1,2,-1,1,1,7,-1,8,-1],[6,1,9,1],[9,
1,10,1],[11,1,9,1,6,1,10,-1,11,-1]],[[1,1,2,1],[1,1,2,-1],[2,1,1,1,3,-2,2,-1,
4,1,2,-1,4,2,3,1],[5,11],[1,1,2,1],[1,1,2,-1],[8,2,7,1,1,1,2,-1,1,1,7,-1,8,
-1],[6,1,9,-1,6,1,9,-2]]],[[[2,1,1,1],[2,-1,1,1,2,-1,3,-2],[4,3],[1,1,2,1],[2,
1,1,1],[6,2,7,-2,6,1,7,-1],[5,1,8,1],[8,1,5,1],[8,1,10,2,8,1,5,1,8,-1,9,-2],[
11,5]],[[2,1,1,1],[2,-1,1,1,2,-1,3,-2],[4,3],[1,1,2,1],[2,1,1,1],[6,2,7,-2,6,
1,7,-1],[8,1,5,1],[8,-2,5,1,8,1],[9,1,10,1,9,1,10,1]]],[[[1,1,2,1],[1,1,2,
-1],[2,1,1,1,3,-2,2,-1,4,1,2,-1,4,2,3,1],[5,11],[1,1,2,1],[1,1,2,-1],[8,2,7,1,
1,1,2,-1,1,1,7,-1,8,-1],[6,1,9,1],[9,1,6,1],[10,2],[12,1,11,-2,12,-1]],[[1,1,
2,1],[1,1,2,-1],[2,1,1,1,3,-2,2,-1,4,1,2,-1,4,2,3,1],[5,11],[1,1,2,1],[1,1,2,
-1],[8,2,7,1,1,1,2,-1,1,1,7,-1,8,-1],[6,1,9,1],[9,1,6,1,10,-2,9,2]]],[[[1,1,2,
1],[2,1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[1,1,2,-1,1,1,2,
-1,1,1,2,-1,1,1],[6,1,7,1],[7,1,6,1],[7,1,9,1,8,1,7,1,8,1,9,1]],[[1,1,2,1],[2,
1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[1,1,2,-1,1,1,2,-1,1,1,
2,-1,1,1],[7,1,6,1,7,-2,6,1,7,2]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,1,1,3,-1,
2,1,1,1,4,1,2,1,3,2],[5,11],[1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[6,1,7,1],[7,1,6,
1],[8,2,9,1,7,1,9,-1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,
1,3,2],[5,11],[1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[7,1,6,1],[8,2,7,2]]],[[[1,1,2,
1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,
1,1,7,-2,8,-1,7,-1,8,-2,2,1],[9,1,6,1,9,1],[10,2,6,-2]],[[1,1,2,1],[2,1,1,1],[
2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,-1,
7,-1,8,-2,2,1],[6,-1,9,3,6,1,9,-1]]],[[[2,1,1,1],[2,-1,1,1,2,-1,3,-2],[4,3],[
1,1,2,1],[2,1,1,1],[6,2,7,-2,6,1,7,-1],[8,1,5,1],[9,1,8,-1,5,1,9,1,8,-1],[5,1,
8,1],[10,1,11,-1,10,1,11,1]],[[2,1,1,1],[2,-1,1,1,2,-1,3,-2],[4,3],[1,1,2,1],[
2,1,1,1],[6,2,7,-2,6,1,7,-1],[5,1,8,1],[9,-2]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,
-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,
1],[6,1,8,1],[9,1,8,2,9,1,6,-2]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,
-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,-1,8,
1,6,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,1,1,2,-1,4,-1,1,1,3,-1,4,2,2,-1,3,-1],[5,
5],[1,1,2,1],[2,1,1,1,2,1,7,2],[8,1,2,1,1,1,8,-1],[6,1,9,-3]],[[1,1,2,1],[2,1,
1,1],[2,-1,1,1,2,-1,4,-1,1,1,3,-1,4,2,2,-1,3,-1],[5,5],[1,1,2,1],[2,1,1,1,2,1,
7,2],[8,1,2,1,1,1,8,-1],[6,-1,9,1,6,-1,9,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,
-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,
1],[6,-2],[6,1,8,1],[9,1,8,1,10,2,8,1,9,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,
1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,
1,8,1,6,-1,8,-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,
-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,-1,6,-2,8,1,6,
1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,
2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,1,8,-1,6,-1,8,2]],[[1,1,2,1],[2,1,
1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,
1,2,-1,7,1,1,1],[6,-2],[9,1,8,-1,9,1,8,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[
5,1,3,1,1,1,4,1,2,1,3,1,4,-1,5,1],[6,10],[1,1,2,1],[2,1,1,1],[1,1,2,-1,8,2,9,
1,2,1,9,-1,8,1],[10,1,7,1],[7,1,10,1,11,-2],[12,10],[10,1,7,1],[10,2,14,-2,10,
-1,7,1],[15,1,13,1,15,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,1,1,4,1,2,
1,3,1,4,-1,5,1],[6,10],[1,1,2,1],[2,1,1,1],[1,1,2,-1,8,2,9,1,2,1,9,-1,8,1],[
10,1,7,1],[7,1,10,1,11,-2],[12,10]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,
1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,1,7,1,9,
1]],[[1,1,2,1],[3,2,1,1,2,-1,3,1,1,1],[4,-3]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[9,1,
7,1,9,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,
1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,1],[10,2,7,1,9,1]],[[1,1,2,
1],[3,2,1,1,2,-1,3,1,1,1],[4,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,
2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,-2,7,1]]],[[[
1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[
8,2,1,1,2,-1,8,1,1,1],[7,1,9,-2,7,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,
1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[9,1,7,1,9,
1]],[[1,1,2,1],[3,2,1,1,2,-1,3,1,1,1],[4,-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,
9,1],[9,1,10,2]],[[1,1,2,1],[3,2,1,1,2,-1,3,1,1,1],[4,-2]]],[[[1,1,2,1],[2,1,
1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,
1,1,1],[9,1,7,1,9,1,7,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,
2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,2]],[[1,1,2,1],[2,1,
1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,
1,1,1],[9,-1,7,1,9,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,
4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,1],[10,-2]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,
1,2,-1,8,1,1,1],[9,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,
3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,-2]],[[1,1,2,1],[2,
1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,
8,1,1,1],[9,-1,7,1,9,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,
1,2,1,3,2],[5,11],[1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[6,1,7,1],[7,2],[8,1,9,1,8,
1,9,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[
1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[7,3,6,1,7,-1,6,1]]],[[[1,1,2,1],[2,1,1,1],[2,
-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[1,1,2,-1,1,1,2,-1,1,1,2,-1,1,
1],[6,1,7,1],[7,1,6,1],[8,2,9,-2,7,-1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,1,1,3,
-1,2,1,1,1,4,1,2,1,3,2],[5,11],[1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[6,1,7,1],[8,
1,7,1,8,2,7,1,6,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,
3,2],[5,11],[1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[6,1,7,1],[8,1,7,1,6,1,7,-1,8,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[
5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,2,6,1],[6,-2,9,2]],[[1,1,2,1],[2,1,1,
1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,
2,-1,7,1,1,1],[6,-2,8,-1,6,1,8,-1,6,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,
4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,
-2],[9,1,8,-1,6,-1,8,-2,9,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,
1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,-1,8,-1,6,
1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,
2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,2,6,-1,8,-2]]],[[[1,1,2,1],[2,1,1,1],[
2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,
7,1,1,1],[6,-2],[9,1,8,1,6,1,8,-1,9,1,6,1,8,2]],[[1,1,2,1],[2,1,1,1],[2,-1,4,
-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,
1],[6,-1,8,-2,6,-1,8,-2]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,
-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[9,1,8,-3,9,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,
1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[6,1,9,1],[9,2,10,2,6,-1,9,-1]],[[1,
1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,1,2,-1],[
2,1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[6,-2,9,1,6,1,9,1]]],[[[1,1,2,1],[2,1,1,1],[
1,1,2,-1,4,-1,3,1,4,-1,2,-1,3,2,4,-1],[5,10],[1,1,2,1],[2,1,1,1,7,-2],[6,1,8,
1],[9,1,8,1,9,1],[10,3],[8,1,6,1,8,1],[12,2,8,1,6,1],[13,3],[11,1,14,1],[14,1,
15,1],[16,1,15,2,16,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,1,4,-1,2,-1,3,2,
4,-1],[5,10],[1,1,2,1],[2,1,1,1,7,-2],[6,1,8,1],[9,1,8,1,9,1],[10,3]]],[[[1,1,
2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,1,2,-1],[2,
1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[9,2,6,-2,9,1,6,-1,9,1]],[[1,1,2,1],[2,1,1,1],[
2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,-1,
7,-1,8,-2,2,1],[6,1,9,1,6,-1]]],[[[2,1,1,1],[2,-1,1,1,2,-1,3,-2],[4,3],[1,1,2,
1],[2,1,1,1],[6,2,7,-2,6,1,7,-1],[8,-2,5,1],[9,6]],[[2,1,1,1],[2,-1,1,1,2,-1,
3,-2],[4,3],[1,1,2,1],[2,1,1,1],[6,2,7,-2,6,1,7,-1],[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,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[
5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,-1,8,1,6,1,8,2,6,-2]],[[1,1,2,
1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,
1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,2,6,-1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,
4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,
-2],[9,1,8,-1,9,1,8,1,9,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,
2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,2],[9,1,6,-2,9,
-1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,
2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,-2,8,-1,6,-2]]],[[[1,1,2,1],[2,1,1,
1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,
2,-1,7,1,1,1],[8,1,6,1,8,-1,6,-2,8,-1,6,1,8,-1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,
-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,
1],[6,1,8,1,6,-1]],[[1,1,2,1],[3,2,1,1,2,-1,3,1,1,1],[4,-3]]],[[[1,1,2,1],[2,
1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,
1,1,2,-1,7,1,1,1],[6,-2],[9,1,8,-3,9,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,
4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,
8,1,6,-1]],[[1,1,2,1],[3,2,1,1,2,-1,3,1,1,1],[4,-3]]],[[[1,1,2,1],[2,1,1,1],[
2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,
7,1,1,1],[6,-2],[9,1,6,1,8,1,9,1,8,1,6,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,
1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,
1,6,-1,8,1,6,1,8,2,6,-2]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,
-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,2,6,-1]]],[[[
1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,
1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[9,1,6,1,8,1,9,1,8,1,6,1]],[[1,1,2,1],[2,
1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,
1,1,2,-1,7,1,1,1],[8,1,6,-1,8,1,6,1,8,-1,6,-2]],[[1,1,2,1],[2,1,1,1],[2,-1,4,
-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,
1],[6,1,8,2,6,-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,
-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[9,1,6,1,8,2,9,1,8,
2,6,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,
-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,-2,8,2,6,-2]],[[1,1,2,1],[2,
1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,
1,1,2,-1,7,1,1,1],[8,1,6,-1,8,1,6,-1,8,2]]],[[[2,1,1,1],[2,-1,1,1,2,-1,3,-2],[
4,3],[1,1,2,1],[2,1,1,1],[6,2,7,-2,6,1,7,-1],[5,1,8,1],[8,1,5,1],[5,1,8,-1],[
11,1,10,-2,8,-1,11,1,9,2,10,1],[8,-2,5,1,8,1],[13,1,12,-1,13,1,12,1]],[[2,1,1,
1],[2,-1,1,1,2,-1,3,-2],[4,3],[1,1,2,1],[2,1,1,1],[6,2,7,-2,6,1,7,-1],[5,1,8,
1],[8,1,5,1],[5,1,8,-1],[11,1,10,-2,8,-1,11,1,9,2,10,1],[12,2]],[[2,1,1,1],[2,
-1,1,1,2,-1,3,-2],[4,3],[1,1,2,1],[2,1,1,1],[6,2,7,-2,6,1,7,-1],[8,-2,5,1,8,
1],[9,2]]],[[[2,1,1,1],[2,-1,1,1,2,-1,3,-2],[4,3],[1,1,2,1],[2,1,1,1],[6,2,7,
-2,6,1,7,-1],[5,1,8,1],[8,1,5,1],[5,1,8,-1],[11,1,10,-2,8,-1,11,1,9,2,10,1],[
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1],[6,2,7,-2,6,1,7,-1],[5,1,8,1],[8,1,5,1],[5,1,8,-1],[11,1,10,-2,8,-1,11,1,9,
2,10,1],[12,1,8,-1,5,-1,8,2,12,1]],[[2,1,1,1],[2,-1,1,1,2,-1,3,-2],[4,3],[1,1,
2,1],[2,1,1,1],[6,2,7,-2,6,1,7,-1],[8,-2,5,1,8,1],[9,2]]],[[[2,1,1,1],[2,-1,1,
1,2,-1,3,-2],[4,3],[1,1,2,1],[2,1,1,1],[6,2,7,-2,6,1,7,-1],[5,1,8,1],[8,1,5,
1],[5,1,8,-1],[11,1,10,-2,8,-1,11,1,9,2,10,1],[12,1,8,-1,5,-1,8,2,12,-1]],[[2,
1,1,1],[2,-1,1,1,2,-1,3,-2],[4,3],[1,1,2,1],[2,1,1,1],[6,2,7,-2,6,1,7,-1],[8,
-2,5,1,8,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[
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1],[2,1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[1,1,2,-1,1,1,2,
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3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[6,1,7,1],[
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2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,1,7,1,9,-1]],[[1,1,2,
1],[3,2,1,1,2,-1,3,1,1,1],[4,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,
5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,-1,7,1,9,
1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[1,
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2,1],[2,1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[1,1,2,-1,1,1,
2,-1,1,1,2,-1,1,1],[7,2],[8,1,7,1,6,1,8,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,1,
1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[6,1,7,
1],[6,1,7,-1,8,-3,7,1,6,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,
1,4,1,2,1,3,2],[5,11],[1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[6,1,7,1],[8,1,6,1,7,
-1,8,2,7,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,
11],[1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[7,1,6,1],[8,1,7,-1,6,1,7,1,8,2]]],[[[1,
1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,1,1,4,1,2,1,3,1,4,-1,5,1],[6,10],[1,1,2,
1],[2,1,1,1],[1,1,2,-1,8,2,9,1,2,1,9,-1,8,1],[10,2],[11,1,10,1,7,1,11,1],[7,1,
10,1,7,1,10,-1],[12,1,13,1],[13,2,14,2,13,1,14,1]],[[1,1,2,1],[2,1,1,1],[1,1,
2,-1],[5,1,3,1,1,1,4,1,2,1,3,1,4,-1,5,1],[6,10],[1,1,2,1],[2,1,1,1],[1,1,2,-1,
8,2,9,1,2,1,9,-1,8,1],[10,2],[11,1,10,1,7,1,11,1],[7,1,10,1,7,1,10,-1],[12,1,
13,1],[14,2,12,1,13,-2,14,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,
1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[9,1,8,
-3,9,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,
-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,-1,8,1,6,1,8,-1,6,-2]],[[1,
1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,
2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,1],[6,-2,9,1,8,-1,9,-1]],[[1,1,2,1],[3,2,1,
1,2,-1,3,1,1,1],[4,-3]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,
-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,2,6,-1,8,1,6,1,8,
1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,
2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,-1,8,-1,6,-1,8,1]]],[[[1,1,2,1],[2,
1,1,1],[1,1,2,-1,4,-1,3,1,4,-1,2,-1,3,2,4,-1],[5,10],[1,1,2,1],[2,1,1,1,7,
-2],[8,1,6,1],[6,1,8,1,9,-1,8,-1,9,1],[6,1,8,1],[6,1,11,-3,8,-1],[12,1],[10,1,
12,1],[14,2,10,1,12,-1,14,-1,12,2,10,1],[13,1,15,-1,13,-1,15,1]],[[1,1,2,1],[
2,1,1,1],[1,1,2,-1,4,-1,3,1,4,-1,2,-1,3,2,4,-1],[5,10],[1,1,2,1],[2,1,1,1,7,
-2],[6,1,8,1],[6,1,9,-3,8,-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,
-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[6,1,
8,2,9,1,8,-1,6,1,8,-1,9,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,
2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2,8,-1,6,-1,8,
1,6,-1,8,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,
4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2,8,1,6,1,8,-1,6,1]]],[[[1,1,
2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,
1],[7,2,1,1,2,-1,7,1,1,1],[6,-2,8,1,6,1,8,-1,6,1]],[[1,1,2,1],[3,2,1,1,2,-1,3,
1,1,1],[4,-3]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,
1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,-3,6,-1]]],[[[1,1,2,1],[
2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,
2,1,1,2,-1,7,1,1,1],[8,1,6,1,8,1,6,-2,8,2,6,-1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,
-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,
1],[8,2,6,-1,8,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,
5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[9,1,6,-1,9,2,6,1,9,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,1,
2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[9,1,6,-1,9,-2,6,-2]]],[[[1,1,2,1],[2,
1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,
1,1,2,-1,7,1,1,1],[8,1,6,1,8,1,6,-2,8,2]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,
4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,
-2,8,1,6,1,8,-1,6,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,
-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2,8,1,6,1,8,-1,6,
1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,
2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,-2,8,-1,6,-1,8,-1]]],[[[1,1,2,1],[
2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,
2,1,1,2,-1,7,1,1,1],[6,1,8,-3,6,-1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,
2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,2,6,-1,
8,1]],[[1,1,2,1],[3,2,1,1,2,-1,3,1,1,1],[4,-3]]],[[[1,1,2,1],[2,1,1,1],[2,-1,
4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,
1,1],[6,1,8,-1],[9,1,6,-2,9,-1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,
-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,1],[
8,1,9,-2,8,-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,
3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,1,8,1],[9,1,6,-2,9,
1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,
2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,-1,8,1,6,-1,8,2]]],[[[1,1,2,1],[2,
1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,
1,1,2,-1,7,1,1,1],[8,1,6,1,8,-1,6,-2,8,-1,6,1,8,-1]],[[1,1,2,1],[2,1,1,1],[2,
-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,
1,1,1],[8,2,6,-1,8,1,6,1,8,1]],[[1,1,2,1],[3,2,1,1,2,-1,3,1,1,1],[4,-3]]],[[[
1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,
1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[9,1,8,-1,6,-1,8,1,9,1]],[[1,1,2,1],[2,1,
1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,
1,2,-1,7,1,1,1],[8,2,6,-1,8,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,
-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2,8,1,6,
1,8,2,6,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,
-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2,8,-1,6,-1,8,1,6,-1,8,1]]],[[[
1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,1,4,-1,2,-1,3,2,4,-1],[5,10],[1,1,2,1],[2,
1,1,1,7,-2],[8,1,6,1],[6,1,8,1,9,-1,8,-1,9,1],[6,1,8,1],[6,1,11,-3,8,-1],[12,
-2],[10,1,12,1],[14,1,10,1,12,1,10,1,12,-1,14,-1],[15,1,13,1,15,1,13,1]],[[1,
1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,1,4,-1,2,-1,3,2,4,-1],[5,10],[1,1,2,1],[2,1,
1,1,7,-2],[8,1,6,1],[6,1,8,1,9,-1,8,-1,9,1],[6,1,8,1],[6,1,11,-3,8,-1],[10,1,
12,1],[13,1,10,1,12,1,10,1,12,-1,13,-1],[14,-1,12,2,14,1]]],[[[1,1,2,1],[2,1,
1,1],[2,-1,1,1,2,-1,4,-1,1,1,3,-1,4,2,2,-1,3,-1],[5,5],[1,1,2,1],[2,1,1,1,2,1,
7,2],[8,1,2,1,1,1,8,-1],[9,2,6,-1,9,1]],[[1,1,2,1],[2,1,1,1],[2,-1,1,1,2,-1,4,
-1,1,1,3,-1,4,2,2,-1,3,-1],[5,5],[1,1,2,1],[2,1,1,1,2,1,7,2],[8,1,2,1,1,1,8,
-1],[9,1,6,1,9,-1,6,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,
1,2,1,3,2],[5,11],[1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[6,1,7,1],[6,1,7,-2,8,
-2]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[1,
1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[7,1,6,1,7,-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,
-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[6,1,
7,5,6,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,
11],[1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[7,1,6,1,7,2,6,1,7,1]]],[[[1,1,2,1],[2,1,
1,1],[1,1,2,-1,4,-1,3,1,4,-1,2,-1,3,2,4,-1],[5,10],[1,1,2,1],[2,1,1,1,7,-2],[
8,1,6,1,8,1],[9,1,8,1,6,1,9,-1],[10,12],[6,1,8,1],[8,2,6,1,12,-1,8,1,12,1],[
11,1,13,1,11,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,1,4,-1,2,-1,3,2,4,-1],[
5,10],[1,1,2,1],[2,1,1,1,7,-2],[6,1,8,1],[8,2,6,1,9,-1,8,1,9,1]]],[[[2,1,1,
1],[2,-1,1,1,2,-1,3,-2],[4,3],[1,1,2,1],[2,1,1,1],[6,2,7,-2,6,1,7,-1],[8,1,5,
1],[9,1,8,-1,5,1,9,1,8,-1],[10,1,5,1,8,1,10,1]],[[2,1,1,1],[2,-1,1,1,2,-1,3,
-2],[4,3],[1,1,2,1],[2,1,1,1],[6,2,7,-2,6,1,7,-1],[8,-1,5,-1]]],[[[1,1,2,1],[
2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,
7,-2,8,-1,7,-1,8,-2,2,1],[9,3,6,-1,9,-1,6,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,
4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,
-2,2,1],[9,1,6,1,9,1],[10,2,6,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,
-1,2,1,1,1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[6,
-1,9,3,6,1,9,-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,
-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[9,1,8,-3,6,-1,8,
-1,9,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,
-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-1,8,2,6,1]]],[[[1,1,2,1],[2,1,
1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,
1,2,-1,7,1,1,1],[6,-2],[9,1,8,-1,6,1,8,-1,9,1,8,-1,9,1]],[[1,1,2,1],[2,1,1,
1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,
2,-1,7,1,1,1],[6,1,8,-1,6,-1,8,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,
2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[9,
1,8,-1,9,1,8,1,9,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,
-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,-2,8,-1,6,1,8,
-1]]],[[[2,1,1,1],[2,-1,1,1,2,-1,3,-2],[4,3],[1,1,2,1],[2,1,1,1],[6,2,7,-2,6,
1,7,-1],[8,1,5,1],[9,1,8,-1,5,1,9,1,8,-1],[5,1,8,1],[10,1,11,1],[11,2,10,1,12,
1,10,1,11,-2,12,1]],[[2,1,1,1],[2,-1,1,1,2,-1,3,-2],[4,3],[1,1,2,1],[2,1,1,
1],[6,2,7,-2,6,1,7,-1],[8,1,5,1],[9,1,8,-1,5,1,9,1,8,-1],[5,1,8,1],[11,1,10,
1],[12,-2,11,-1,10,1]]],[[[2,1,1,1],[2,-1,1,1,2,-1,3,-2],[4,3],[1,1,2,1],[2,1,
1,1],[6,2,7,-2,6,1,7,-1],[8,1,5,1],[8,-2,5,1,8,1],[10,1,9,1,10,1,9,1],[5,1,8,
1],[8,1,5,1],[13,1,12,-2,13,1,12,-1,13,1],[11,1,14,1],[15,1,14,1,11,1,15,
-2]],[[2,1,1,1],[2,-1,1,1,2,-1,3,-2],[4,3],[1,1,2,1],[2,1,1,1],[6,2,7,-2,6,1,
7,-1],[8,1,5,1],[8,-2,5,1,8,1],[10,1,9,1,10,1,9,1],[5,1,8,1],[8,1,5,1],[13,1,
12,-2,13,1,12,-1,13,1],[14,1,11,1,14,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,1,
1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[7,2,6,1,
7,1,6,1,7,-1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[
5,11],[1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[6,1,7,-2,6,1,7,1]]],[[[1,1,2,1],[1,1,
2,-1],[2,1,1,1,3,-2,2,-1,4,1,2,-1,4,2,3,1],[5,11],[1,1,2,1],[1,1,2,-1],[8,2,7,
1,1,1,2,-1,1,1,7,-1,8,-1],[6,1,9,-1],[10,2,6,1,9,1]],[[1,1,2,1],[1,1,2,-1],[2,
1,1,1,3,-2,2,-1,4,1,2,-1,4,2,3,1],[5,11],[1,1,2,1],[1,1,2,-1],[8,2,7,1,1,1,2,
-1,1,1,7,-1,8,-1],[9,2,6,1,9,1,6,1,9,-1]]],[[[2,1,1,1],[2,-1,1,1,2,-1,3,-2],[
4,3],[1,1,2,1],[2,1,1,1],[6,2,7,-2,6,1,7,-1],[8,1,5,1],[9,1,8,-1,5,1,9,1,8,
-1],[5,1,8,1],[11,1,10,1,11,-1]],[[2,1,1,1],[2,-1,1,1,2,-1,3,-2],[4,3],[1,1,2,
1],[2,1,1,1],[6,2,7,-2,6,1,7,-1],[8,1,5,1],[9,1,8,-1,5,1,9,1,8,-1],[5,1,8,1],[
11,2],[12,1,10,1,11,2,10,1,12,-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,
2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,-1,
8,-1,6,-1,8,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,
1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-1,8,2,6,1]]],[[[1,1,2,1],[
2,1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[1,1,2,-1,1,1,2,-1,1,
1,2,-1,1,1],[7,1,6,1],[8,1,7,-1,6,1,8,1,7,-1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,
-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[7,2,
6,1,7,1,6,1,7,-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,
-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,1,8,-1,6,1,8,2]],[[
1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,
1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,-2,6,-1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,
-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,
1],[8,1,6,1,8,2,6,1,8,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,1,1,4,1,
2,1,3,1,4,-1,5,1],[6,10],[1,1,2,1],[2,1,1,1],[1,1,2,-1,8,2,9,1,2,1,9,-1,8,1],[
10,1,7,1],[10,2,11,-2,10,-1,7,1],[12,-4]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,
1,3,1,1,1,4,1,2,1,3,1,4,-1,5,1],[6,10],[1,1,2,1],[2,1,1,1],[1,1,2,-1,8,2,9,1,
2,1,9,-1,8,1],[10,1,7,1],[7,1,10,1,11,-2],[12,10]]],[[[2,1,1,1],[1,1,2,-1],[2,
1,4,-1,3,1,4,-1,3,1,2,1,3,-1,4,1,1,1],[2,1,1,1],[1,1,2,-1],[6,1,2,-1],[2,-1,1,
1],[9,1,8,1,6,1,1,1,6,1,8,1,9,-1,8,1,1,1],[1,1,7,-1,6,1,1,1,6,1,7,-1,6,1,2,1,
6,-1,7,1,2,-1],[10,-1,11,8,10,1],[8,1,6,-1],[6,1,7,-1],[1,1,7,-1,8,1,6,1,1,1,
13,-1,14,-1,8,1,1,1,14,1,13,1,8,1,14,-1],[1,1,7,-1,6,1,1,1,6,1,7,-1,6,1,2,1,6,
-1,7,1,2,-1],[15,-1,16,3,15,1],[12,1,17,1],[18,1,5,-1,18,1]],[[2,1,1,1],[1,1,
2,-1],[2,1,4,-1,3,1,4,-1,3,1,2,1,3,-1,4,1,1,1],[2,1,1,1],[1,1,2,-1],[6,1,2,
-1],[2,-1,1,1],[9,1,8,1,6,1,1,1,6,1,8,1,9,-1,8,1,1,1],[1,1,7,-1,6,1,1,1,6,1,7,
-1,6,1,2,1,6,-1,7,1,2,-1],[10,-1,11,8,10,1],[8,1,6,-1],[6,1,7,-1],[1,1,7,-1,8,
1,6,1,1,1,13,-1,14,-1,8,1,1,1,14,1,13,1,8,1,14,-1],[1,1,7,-1,6,1,1,1,6,1,7,-1,
6,1,2,1,6,-1,7,1,2,-1],[15,-1,16,3,15,1],[12,1,17,1],[18,2,5,1]]],[[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,
1,2,-1,8,1,1,1],[7,1,9,1,7,1]],[[1,1,2,1],[3,2,1,1,2,-1,3,1,1,1],[4,2]],[[1,1,
2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,
1,1,2,-1,8,1,1,1],[9,1,7,1,9,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,
2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[9,-1,7,1,9,1]],[[1,
1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,
2,1,1,2,-1,8,1,1,1],[9,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,
-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2,8,-1,
6,1,8,-1,6,1]],[[1,1,2,1],[3,2,1,1,2,-1,3,1,1,1],[4,-3]]],[[[1,1,2,1],[2,1,1,
1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,
2,-1,7,1,1,1],[8,1,6,-1,8,-1],[9,1,6,-2,9,-1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,
-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,
1],[6,-2,8,-1,6,1,8,-1,6,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,
1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,-1,6,-2,
8,1,6,-1,8,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,
1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2,8,-1,6,1,8,-1,6,1]]],[[[
1,1,2,1],[1,1,2,-1],[2,1,1,1,3,-2,2,-1,4,1,2,-1,4,2,3,1],[5,11],[1,1,2,1],[1,
1,2,-1],[8,2,7,1,1,1,2,-1,1,1,7,-1,8,-1],[6,1,9,1],[9,-1,6,1,9,-2,10,1]],[[1,
1,2,1],[1,1,2,-1],[2,1,1,1,3,-2,2,-1,4,1,2,-1,4,2,3,1],[5,11],[1,1,2,1],[1,1,
2,-1],[8,2,7,1,1,1,2,-1,1,1,7,-1,8,-1],[6,1,9,-2,6,1]]],[[[1,1,2,1],[2,1,1,
1],[1,1,2,-1,4,-1,3,1,4,-1,2,-1,3,2,4,-1],[5,10],[1,1,2,1],[2,1,1,1,7,-2],[8,
1,6,1],[6,1,8,1,9,-1,8,-1,9,1],[6,1,8,1],[6,1,11,-3,8,-1],[10,1,12,1],[10,1,
12,-1,13,1,10,1,13,-1,12,1,10,1],[12,1,10,1],[10,1,12,2,15,-2],[14,1,16,1],[
17,1,14,1,17,-1,16,1,14,1,16,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,1,4,
-1,2,-1,3,2,4,-1],[5,10],[1,1,2,1],[2,1,1,1,7,-2],[8,1,6,1],[6,1,8,1,9,-1,8,
-1,9,1],[6,1,8,1],[6,1,11,-3,8,-1],[10,1,12,1],[10,1,12,-1,13,1,10,1,13,-1,12,
1,10,1],[12,1,10,1],[10,1,12,2,15,-2],[16,1,14,1,16,1]]],[[[1,1,2,1],[1,1,2,
-1],[2,1,1,1,3,-2,4,-1,3,-1,4,-2,2,1],[5,5]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,
-2,1,1,3,-1,2,1,1,1],[5,5],[6,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,
-1,2,1,1,1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[6,
-2],[9,-1,10,1,9,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,
4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,2],[9,1,6,-2,9,
-1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,
2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-1,8,-1,6,-1,8,-1]],[[1,1,2,1],[2,1,1,
1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,
2,-1,7,1,1,1],[6,1,8,2,6,-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,
1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,2],[9,1,6,
-2,9,-1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,
-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-1,8,2,6,-1,8,-1]],[[1,1,2,1],[
2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,
2,1,1,2,-1,7,1,1,1],[6,1,8,-2,6,-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,
-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,
-2],[9,1,8,-2,9,1,8,1,6,1,8,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,
1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,2,6,
-1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,
2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2,8,-2,6,-1,8,-1,6,1,8,-1]]],[[[1,1,2,
1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,
1,1,7,-2,8,-1,7,-1,8,-2,2,1],[6,1,9,1],[10,2,9,3]],[[1,1,2,1],[2,1,1,1],[2,1,
3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,
8,-2,2,1],[6,-2,9,1,6,-2,9,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,
1,1,1],[5,5],[6,-2]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,
4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,1,6,-2,8,1,6,
1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,
2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,-1,8,1,6,1,8,2]],[[1,1,2,1],[2,1,1,
1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,
2,-1,7,1,1,1],[6,-1,8,2,6,-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,
-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,-1,8,
1,6,1,8,-1,6,-2]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,
3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,1,6,-1]],[[1,1,2,1],[
3,2,1,1,2,-1,3,1,1,1],[4,-3]]],[[[2,1,1,1],[2,-1,1,1,2,-1,3,-2],[4,3],[1,1,2,
1],[2,1,1,1],[6,2,7,-2,6,1,7,-1],[8,-2,5,1,8,1],[9,2]],[[2,1,1,1],[2,-1,1,1,2,
-1,3,-2],[4,3],[1,1,2,1],[2,1,1,1],[6,2,7,-2,6,1,7,-1],[5,1,8,1],[8,1,5,1],[5,
1,8,-1],[11,1,10,-2,8,-1,11,1,9,2,10,1]]],[[[2,1,1,1],[2,-1,1,1,2,-1,3,-2],[4,
3],[1,1,2,1],[2,1,1,1],[6,2,7,-2,6,1,7,-1],[5,1,8,1],[8,1,5,1],[5,1,8,-1],[11,
1,10,-2,8,-1,11,1,9,2,10,1],[8,-2,5,1,8,1,12,1]],[[2,1,1,1],[2,-1,1,1,2,-1,3,
-2],[4,3],[1,1,2,1],[2,1,1,1],[6,2,7,-2,6,1,7,-1],[5,1,8,1],[8,1,5,1],[5,1,8,
-1],[11,1,10,-2,8,-1,11,1,9,2,10,1],[12,2]]],[[[2,1,1,1],[2,-1,1,1,2,-1,3,
-2],[4,3],[1,1,2,1],[2,1,1,1],[6,2,7,-2,6,1,7,-1],[5,1,8,1],[8,1,5,1],[5,1,8,
-1],[11,1,10,-2,8,-1,11,1,9,2,10,1],[12,2]],[[2,1,1,1],[2,-1,1,1,2,-1,3,-2],[
4,3],[1,1,2,1],[2,1,1,1],[6,2,7,-2,6,1,7,-1],[8,-1,5,-1,8,2]]],[[[1,1,2,1],[2,
1,1,1],[1,1,2,-1,4,-1,3,1,4,-1,2,-1,3,2,4,-1],[5,10],[1,1,2,1],[2,1,1,1,7,
-2],[6,1,8,1],[8,1,6,1],[9,2,8,1,10,2,8,2,9,1],[11,1,8,2,6,-1,8,-1,11,1]],[[1,
1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,1,4,-1,2,-1,3,2,4,-1],[5,10],[1,1,2,1],[2,1,
1,1,7,-2],[8,1,6,1,8,-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,
3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[9,-1,7,1,9,1]],[[1,1,2,
1],[3,2,1,1,2,-1,3,1,1,1],[4,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,
2,5,2,3,2,4,1,2,1],[6,5]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,
3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,1,1,1],[7,1,9,1,7,1]],[[1,1,2,
1],[3,2,1,1,2,-1,3,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,
4,1,2,1,3,2],[5,11],[1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[6,1,7,1],[7,2,8,2,7,
1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[1,1,
2,-1,1,1,2,-1,1,1,2,-1,1,1],[6,1,7,3]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,1,1,
3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[6,1,7,1],[
7,2,8,2,7,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[
5,11],[1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[7,3,6,1,7,-1,6,1]]],[[[1,1,2,1],[2,1,
1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,3,2,4,1,2,1],[6,5],[1,1,2,1],[8,2,1,1,2,-1,8,
1,1,1],[9,1,7,1]],[[1,1,2,1],[3,2,1,1,2,-1,3,1,1,1],[4,2]]],[[[1,1,2,1],[2,1,
1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,
8,-1,7,-1,8,-2,2,1],[9,1,6,-1,9,2,6,-1,9,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,
-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,
2,1],[6,-2],[10,1,9,-1,10,1,9,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,
2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[9,
1,8,-1,6,-1,8,1,9,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,
4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,2,6,-1,8,1]],[[1,1,2,
1],[3,2,1,1,2,-1,3,1,1,1],[4,-3]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,
2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2,8,
-1,6,-1,8,1,6,-1,8,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,
4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2,8,1,6,1,8,-1,6,
1]],[[1,1,2,1],[3,2,1,1,2,-1,3,1,1,1],[4,-3]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,
-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,
1],[6,-2,8,2,6,-1,8,1,6,-1,8,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,
-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,1,8,
1,6,-2,8,2]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,
4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2,8,1,6,1,8,-1,6,1]]],[[[1,1,
2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,
1],[7,2,1,1,2,-1,7,1,1,1],[6,-2,8,-1,6,-1,8,1,6,-1,8,1]],[[1,1,2,1],[2,1,1,
1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,
2,-1,7,1,1,1],[8,1,6,1,8,1,6,-2,8,2]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,
-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2,
8,1,6,1,8,-1,6,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,
-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2,8,-1,6,-1,8,1,6,-1,
8,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[
5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,-2,8,-1,6,-1,8,-1]]],[[[1,1,2,
1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,
1],[7,2,1,1,2,-1,7,1,1,1],[6,-2,8,2,6,-1,8,1,6,-1,8,1]],[[1,1,2,1],[2,1,1,1],[
2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,
7,1,1,1],[8,1,6,-2,8,-1,6,-1,8,-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,
-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,
-2,8,-1,6,-1,8,-1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,
-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-1,8,1,6,-1,8,-1,6,
-2]],[[1,1,2,1],[3,2,1,1,2,-1,3,1,1,1],[4,-3]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,
-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,
1],[6,1,8,-1],[9,1,6,-2,9,-1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,
1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,-1,8,-1,
6,-1,8,1]],[[1,1,2,1],[3,2,1,1,2,-1,3,1,1,1],[4,-3]]],[[[1,1,2,1],[2,1,1,1],[
2,-1,1,1,2,-1,4,-1,1,1,3,-1,4,2,2,-1,3,-1],[5,5],[1,1,2,1],[2,1,1,1,2,1,7,2],[
8,1,2,1,1,1,8,-1],[6,-1,9,4]],[[1,1,2,1],[2,1,1,1],[2,-1,1,1,2,-1,4,-1,1,1,3,
-1,4,2,2,-1,3,-1],[5,5],[1,1,2,1],[2,1,1,1,2,1,7,2],[8,1,2,1,1,1,8,-1],[6,1,9,
-1,6,1,9,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,1,1,4,1,2,1,3,1,4,-1,
5,1],[6,10],[1,1,2,1],[2,1,1,1],[1,1,2,-1,8,2,9,1,2,1,9,-1,8,1],[7,1,10,1],[
10,1,7,1],[11,1,10,1,11,1,12,-2,11,-1],[7,1,10,1],[10,1,14,1,10,1,7,1,10,2,14,
1],[13,1,15,-1,13,1,15,1,13,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,1,1,
4,1,2,1,3,1,4,-1,5,1],[6,10],[1,1,2,1],[2,1,1,1],[1,1,2,-1,8,2,9,1,2,1,9,-1,8,
1],[7,1,10,1],[10,1,7,1],[11,1,10,1,11,1,12,-2,11,-1],[7,1,10,1],[10,1,14,1,
10,1,7,1,10,2,14,1],[13,1,15,1],[15,1,13,1],[15,-2,16,1,17,-1,16,1,17,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[
1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[7,3,6,1,7,-2,6,1]],[[1,1,2,1],[2,1,1,1],[2,
-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[1,1,2,-1,1,1,2,-1,1,1,2,-1,1,
1],[7,1,6,1,7,2,6,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,
4,1,2,1,3,2],[5,11],[1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[7,1,6,1,7,2,6,1,7,1]],[[
1,1,2,1],[2,1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[1,1,2,-1,
1,1,2,-1,1,1,2,-1,1,1],[7,-2,6,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,1,1,
3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[6,1,7,1],[
7,-1,8,2,7,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[
5,11],[1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[6,1,7,1,6,1,7,1,6,1]],[[1,1,2,1],[2,1,
1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[1,1,2,-1,1,1,2,-1,1,1,2,
-1,1,1],[7,1,6,1,7,2,6,1,7,1]]],[[[2,1,1,1],[2,-1,1,1,2,-1,3,-2],[4,3],[1,1,2,
1],[2,1,1,1],[6,2,7,-2,6,1,7,-1],[8,1,5,1],[9,1,8,-1,5,1,9,1,8,-1]],[[2,1,1,
1],[2,-1,1,1,2,-1,3,-2],[4,3],[1,1,2,1],[2,1,1,1],[6,2,7,-2,6,1,7,-1],[5,1,8,
1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,1,4,-1,2,-1,3,2,4,-1],[5,10],[1,1,
2,1],[2,1,1,1,7,-2],[8,1,6,1,8,1],[9,1,8,1,6,1,9,-1],[10,12]],[[1,1,2,1],[2,1,
1,1],[1,1,2,-1,4,-1,3,1,4,-1,2,-1,3,2,4,-1],[5,10],[1,1,2,1],[2,1,1,1,7,-2],[
6,1,8,1],[8,2,6,1,9,-1,8,1,9,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,1,4,
-1,2,-1,3,2,4,-1],[5,10],[1,1,2,1],[2,1,1,1,7,-2],[6,1,8,1],[8,1,6,1],[10,1,8,
1,10,-1,9,1,10,-2,8,-1,9,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,1,4,-1,2,
-1,3,2,4,-1],[5,10],[1,1,2,1],[2,1,1,1,7,-2],[6,1,8,1],[8,1,9,2,6,1,9,-1,8,1,
6,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[
1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[6,-2,9,1,6,1,9,-3]],[[1,1,2,1],[
2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,
7,-2,8,-1,7,-1,8,-2,2,1],[9,1,6,1,9,-2,6,-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,
-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,
1],[8,1,6,-1,8,1,6,-1,8,2]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,
2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,-2,8,-1,6,
-2]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,
2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,2,6,-1]]],[[[1,1,2,1],[2,1,1,1],[2,
-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,
1,1,1],[8,1,6,1,8,-1,6,1,8,2]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,
1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,2,6,-2,8,
1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,
2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,2,6,-1]],[[1,1,2,1],[2,1,1,1],[2,
-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,
1,1,1],[8,1,6,-1,8,1,6,-1,8,2]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,
-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,1,8,
-1,6,1,8,-1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,
4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,1,6,-1]],[[1,1,2,1],[3,2,
1,1,2,-1,3,1,1,1],[4,-3]]],[[[2,1,1,1],[1,1,2,-1],[2,1,4,-1,3,1,4,-1,3,1,2,1,
3,-1,4,1,1,1],[2,1,1,1],[1,1,2,-1],[6,1,2,-1],[2,-1,1,1],[9,1,8,1,6,1,1,1,6,1,
8,1,9,-1,8,1,1,1],[1,1,7,-1,6,1,1,1,6,1,7,-1,6,1,2,1,6,-1,7,1,2,-1],[10,-1,11,
8,10,1],[8,1,6,-1],[6,1,7,-1],[1,1,7,-1,8,1,6,1,1,1,13,-1,14,-1,8,1,1,1,14,1,
13,1,8,1,14,-1],[1,1,7,-1,6,1,1,1,6,1,7,-1,6,1,2,1,6,-1,7,1,2,-1],[15,-1,16,3,
15,1],[12,1,17,1],[5,1,18,-2]],[[2,1,1,1],[1,1,2,-1],[2,1,4,-1,3,1,4,-1,3,1,2,
1,3,-1,4,1,1,1],[2,1,1,1],[1,1,2,-1],[6,1,2,-1],[2,-1,1,1],[9,1,8,1,6,1,1,1,6,
1,8,1,9,-1,8,1,1,1],[1,1,7,-1,6,1,1,1,6,1,7,-1,6,1,2,1,6,-1,7,1,2,-1],[10,-1,
11,8,10,1],[8,1,6,-1],[6,1,7,-1],[1,1,7,-1,8,1,6,1,1,1,13,-1,14,-1,8,1,1,1,14,
1,13,1,8,1,14,-1],[1,1,7,-1,6,1,1,1,6,1,7,-1,6,1,2,1,6,-1,7,1,2,-1],[15,-1,16,
3,15,1],[12,1,17,1],[5,1,18,2]],[[2,1,1,1],[1,1,2,-1],[2,1,4,-1,3,1,4,-1,3,1,
2,1,3,-1,4,1,1,1],[5,2]]],[[[2,1,1,1],[1,1,2,-1],[3,1,2,-1],[2,-1,1,1],[6,1,5,
1,3,1,1,1,3,1,5,1,6,-1,5,1,1,1],[1,1,4,-1,3,1,1,1,3,1,4,-1,3,1,2,1,3,-1,4,1,2,
-1],[7,-1,8,8,7,1],[5,1,3,-1],[3,1,4,-1],[1,1,4,-1,5,1,3,1,1,1,10,-1,11,-1,5,
1,1,1,11,1,10,1,5,1,11,-1],[1,1,4,-1,3,1,1,1,3,1,4,-1,3,1,2,1,3,-1,4,1,2,-1],[
12,-1,13,3,12,1],[9,1,14,1],[15,-2]],[[2,1,1,1],[1,1,2,-1],[2,1,4,-1,3,1,4,-1,
3,1,2,1,3,-1,4,1,1,1],[5,2]]],[[[2,1,1,1],[1,1,2,-1],[2,1,4,-1,3,1,4,-1,3,1,2,
1,3,-1,4,1,1,1],[2,1,1,1],[1,1,2,-1],[6,1,2,-1],[2,-1,1,1],[9,1,8,1,6,1,1,1,6,
1,8,1,9,-1,8,1,1,1],[1,1,7,-1,6,1,1,1,6,1,7,-1,6,1,2,1,6,-1,7,1,2,-1],[10,-1,
11,8,10,1],[8,1,6,-1],[6,1,7,-1],[1,1,7,-1,8,1,6,1,1,1,13,-1,14,-1,8,1,1,1,14,
1,13,1,8,1,14,-1],[1,1,7,-1,6,1,1,1,6,1,7,-1,6,1,2,1,6,-1,7,1,2,-1],[15,-1,16,
3,15,1],[12,1,17,1],[18,1,5,1,18,-1]],[[2,1,1,1],[1,1,2,-1],[2,1,4,-1,3,1,4,
-1,3,1,2,1,3,-1,4,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,
2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,-1,8,-1,6,
-1,8,1,6,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,
4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,2,6,-1,8,1]]],[[[1,1,2,1],[2,
1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,
1,1,2,-1,7,1,1,1],[6,1,8,1],[9,1,8,1,9,2,6,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,
-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,
1],[8,2,6,1,8,-2]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,
-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,-1,6,-2,8,1,6,-1,8,
1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,
2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2,8,-1,6,1,8,-1,6,1]],[[1,1,2,1],[3,2,
1,1,2,-1,3,1,1,1],[4,-3]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,1,1,4,1,
2,1,3,1,4,-1,5,1],[6,10],[1,1,2,1],[2,1,1,1],[1,1,2,-1,8,2,9,1,2,1,9,-1,8,1],[
7,1,10,1],[10,1,7,1],[11,1,10,1,11,1,12,-2,11,-1],[7,1,10,1],[10,1,14,1,10,1,
7,1,10,2,14,1],[15,1,13,1,15,1,13,1,15,1,13,1,15,1,13,-1,15,-1,13,-1,15,
-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,1,1,4,1,2,1,3,1,4,-1,5,1],[6,
10],[1,1,2,1],[2,1,1,1],[1,1,2,-1,8,2,9,1,2,1,9,-1,8,1],[7,1,10,1],[10,1,7,
1],[11,1,10,1,11,1,12,-2,11,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,
-1,2,1,1,1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[6,
-2,9,-2,6,-1,9,1,6,-1,9,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,
1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[6,1,9,-2,6,1,
9,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[6,-2]]],[[[
1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,
1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[9,1,8,-2,6,1,8,-1,9,1]],[[1,1,2,1],[2,1,
1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,
1,2,-1,7,1,1,1],[6,-1,8,-1,6,1,8,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,
-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,
-2],[9,1,8,-1,6,-1,8,1,9,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,
1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,1,8,1,6,
1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[
5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[9,1,8,-2,9,1,8,1,6,1,8,1]],[[1,
1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,
2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,1,8,1,6,-2,8,1,6,-1]],[[1,1,2,1],[2,1,1,
1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,
2,-1,7,1,1,1],[6,-1,8,2,6,-1,8,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,
3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[9,
1,6,1,9,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[6,
-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[
1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[9,2,6,1,9,1]],[[1,1,2,1],[2,1,1,
1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[6,-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,
2,-1,4,-1,3,1,4,-1,2,-1,3,2,4,-1],[5,10],[1,1,2,1],[2,1,1,1,7,-2],[6,1,8,1],[
8,1,6,1],[8,1,10,1,9,1,10,-1,9,2,8,1],[11,3],[8,1,6,1,8,1],[13,2,8,1,6,1],[14,
1,12,-1,14,-2,12,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,1,4,-1,2,-1,3,2,4,
-1],[5,10],[1,1,2,1],[2,1,1,1,7,-2],[6,1,8,1],[8,1,6,1],[8,1,10,1,9,1,10,-1,9,
2,8,1],[11,3],[12,2]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,
-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[9,1,8,-2,9,1,
8,1,6,1,8,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,
4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,-1,6,-1]],[[1,1,2,1],[3,2,
1,1,2,-1,3,1,1,1],[4,-3]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,
2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-1,8,-1,6,-1,8,
-1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,
2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,-1,6,-1]],[[1,1,2,1],[3,2,1,1,2,-1,
3,1,1,1],[4,-3]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,
-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,-1,8,-2,6,1,8,
-1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,
2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,-2,6,1]],[[1,1,2,1],[2,1,1,1],[2,
-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,
1,1,1],[6,-2,8,1,6,1,8,1,6,-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,
-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2,8,1,6,
1,8,-2,6,-1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,
4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,-2,6,1]]],[[[1,1,2,1],[2,
1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,
1,1,2,-1,7,1,1,1],[8,1,6,-1,8,1,6,1,8,2]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,
4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,
8,1,6,1]],[[1,1,2,1],[3,2,1,1,2,-1,3,1,1,1],[4,-3]]],[[[2,1,1,1],[2,-1,1,1,2,
-1,3,-2],[4,3],[1,1,2,1],[2,1,1,1],[6,2,7,-2,6,1,7,-1],[5,1,8,1],[8,1,5,1],[5,
1,8,-1],[11,1,10,-2,8,-1,11,1,9,2,10,1]],[[2,1,1,1],[2,-1,1,1,2,-1,3,-2],[4,
3],[1,1,2,1],[2,1,1,1],[6,2,7,-2,6,1,7,-1],[8,-2,5,1,8,1]]],[[[1,1,2,1],[2,1,
1,1],[4,2,3,-1,2,1,1,1,4,1,2,1,3,2],[5,10]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,2,
2,-1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,1,4,-1,2,-1,3,2,4,-1],[5,
10],[1,1,2,1],[2,1,1,1,7,-2],[6,1,8,1],[8,1,6,1],[9,2,8,1,10,2,8,2,9,1]],[[1,
1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,1,4,-1,2,-1,3,2,4,-1],[5,10],[1,1,2,1],[2,1,
1,1,7,-2],[8,1,6,1,8,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,
1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[9,1,6,-1,9,
-2,6,-1,9,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[6,
-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[
1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[6,1,9,4,6,-1,9,1]],[[1,1,2,1],[2,
1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,7,
-2,8,-1,7,-1,8,-2,2,1],[9,1,6,-1,9,2,6,-1,9,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,
2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,
-2,2,1],[9,1,6,-2,9,-1,6,-2]]],[[[2,1,1,1],[2,-1,1,1,2,-1,3,-2],[4,3],[1,1,2,
1],[2,1,1,1],[6,2,7,-2,6,1,7,-1],[5,1,8,1],[9,2,8,1,9,2,8,1,5,1],[5,1,8,1],[
11,4,8,1],[10,1,12,1,10,1,12,-1]],[[2,1,1,1],[2,-1,1,1,2,-1,3,-2],[4,3],[1,1,
2,1],[2,1,1,1],[6,2,7,-2,6,1,7,-1],[5,1,8,1],[9,2,8,1,9,2,8,1,5,1],[5,1,8,1],[
11,4,8,1],[10,1,12,1,10,1,12,-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,1,4,
-1,2,-1,3,2,4,-1],[5,10],[1,1,2,1],[2,1,1,1,7,-2],[8,1,6,1],[6,1,8,1,9,-1,8,
-1,9,1],[6,1,8,1],[6,1,11,-3,8,-1],[10,1,12,1],[12,1,10,1],[14,1,12,1,14,-1,
13,2,12,1,13,1,14,1],[15,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,1,4,-1,2,
-1,3,2,4,-1],[5,10],[1,1,2,1],[2,1,1,1,7,-2],[8,1,6,1],[6,1,8,1,9,-1,8,-1,9,
1],[6,1,8,1],[6,1,11,-3,8,-1],[10,1,12,1],[13,1,10,1,12,-1,13,1]]],[[[2,1,1,
1],[2,-1,1,1,2,-1,3,-2],[4,3],[1,1,2,1],[2,1,1,1],[6,2,7,-2,6,1,7,-1],[8,1,5,
1],[8,-2,5,1,8,1],[10,1,9,1,10,1,9,1],[5,1,8,1],[8,1,5,1],[13,1,12,-2,13,1,12,
-1,13,1],[14,1,11,-1,14,1],[15,1,11,1,15,-1]],[[2,1,1,1],[2,-1,1,1,2,-1,3,
-2],[4,3],[1,1,2,1],[2,1,1,1],[6,2,7,-2,6,1,7,-1],[8,1,5,1],[8,-2,5,1,8,1],[
10,1,9,1,10,1,9,1],[5,1,8,1],[8,1,5,1],[13,1,12,-2,13,1,12,-1,13,1],[14,1,11,
1],[14,1,15,2]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,
3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2,8,-1,6,-1,8,1,6,-1,8,
1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,
2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,-2,8,-1,6,-1,8,-1]],[[1,1,2,1],[3,
2,1,1,2,-1,3,1,1,1],[4,-3]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,1,1,4,
1,2,1,3,1,4,-1,5,1],[6,10],[1,1,2,1],[2,1,1,1],[1,1,2,-1,8,2,9,1,2,1,9,-1,8,
1],[10,2],[11,1,10,1,7,1,11,1],[7,1,10,1,7,1,10,-1],[13,1,12,1,13,-1]],[[1,1,
2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,1,1,4,1,2,1,3,1,4,-1,5,1],[6,10],[1,1,2,
1],[2,1,1,1],[1,1,2,-1,8,2,9,1,2,1,9,-1,8,1],[10,2],[11,1,10,1,7,1,11,1],[7,1,
10,1,7,1,10,-1],[12,1,13,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,1,1,4,
1,2,1,3,1,4,-1,5,1],[6,10],[1,1,2,1],[2,1,1,1],[1,1,2,-1,8,2,9,1,2,1,9,-1,8,
1],[10,2],[11,1,10,1,7,1,11,1],[7,1,10,1,7,1,10,-1],[12,1,13,1,12,1,13,1,12,
1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,1,1,4,1,2,1,3,1,4,-1,5,1],[6,
10],[1,1,2,1],[2,1,1,1],[1,1,2,-1,8,2,9,1,2,1,9,-1,8,1],[10,2],[11,1,10,1,7,1,
11,1],[7,1,10,1,7,1,10,-1],[13,1,12,1,13,-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,
-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[7,
2],[7,1,6,1,8,2]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,
2],[5,11],[1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[6,1,7,1,6,1,7,1,6,1]],[[1,1,2,1],[
2,1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[1,1,2,-1,1,1,2,-1,1,
1,2,-1,1,1],[7,-2,6,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,
1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[8,-1,6,1,
8,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[
5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,2,6,-1]],[[1,1,2,1],[2,1,1,1],[2,
-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,
1,1,1],[8,2,6,1,8,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,
1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[6,-2],[9,-1,
6,1,9,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,
1],[1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[9,1,6,-1,9,-1]],[[1,1,2,1],[
2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[6,-2]]],[[[1,1,2,1],[2,1,1,
1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,
2,-1,7,1,1,1],[8,1,6,-1,8,2,6,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,
-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,2,6,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[
1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[9,1,6,1,9,-2]],[[1,1,2,1],[2,1,1,
1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[6,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,
3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,
8,-2,2,1],[9,1,6,1,9,2,6,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,
1,1],[5,5],[6,-2]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,
-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,-1,8,-1,6,1]],[[1,
1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,
2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-1,8,-1,6,-1,8,-1]]],[[[1,1,2,1],[2,1,1,1],[2,
-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,
1,1,1],[8,1,6,1,8,-1,6,1,8,-1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,
1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,-1,6,
-1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,
2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,2,6,-2,8,1]]],[[[2,1,1,1],[1,1,2,-1],[
2,1,4,-1,3,1,4,-1,3,1,2,1,3,-1,4,1,1,1],[5,2]],[[2,1,1,1],[1,1,2,-1],[3,1,2,
-1],[2,-1,1,1],[6,1,5,1,3,1,1,1,3,1,5,1,6,-1,5,1,1,1],[1,1,4,-1,3,1,1,1,3,1,4,
-1,3,1,2,1,3,-1,4,1,2,-1],[7,-1,8,8,7,1],[5,1,3,-1],[3,1,4,-1],[1,1,4,-1,5,1,
3,1,1,1,10,-1,11,-1,5,1,1,1,11,1,10,1,5,1,11,-1],[1,1,4,-1,3,1,1,1,3,1,4,-1,3,
1,2,1,3,-1,4,1,2,-1],[12,-1,13,3,12,1],[9,1,14,1]]],[[[2,1,1,1],[1,1,2,-1],[3,
1,2,-1],[2,-1,1,1],[6,1,5,1,3,1,1,1,3,1,5,1,6,-1,5,1,1,1],[1,1,4,-1,3,1,1,1,3,
1,4,-1,3,1,2,1,3,-1,4,1,2,-1],[7,-1,8,8,7,1],[5,1,3,-1],[3,1,4,-1],[1,1,4,-1,
5,1,3,1,1,1,10,-1,11,-1,5,1,1,1,11,1,10,1,5,1,11,-1],[1,1,4,-1,3,1,1,1,3,1,4,
-1,3,1,2,1,3,-1,4,1,2,-1],[12,-1,13,3,12,1],[9,1,14,1],[15,-2]],[[2,1,1,1],[1,
1,2,-1],[2,1,4,-1,3,1,4,-1,3,1,2,1,3,-1,4,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,
2,-1],[5,1,3,1,1,1,4,1,2,1,3,1,4,-1,5,1],[6,10],[1,1,2,1],[2,1,1,1],[1,1,2,-1,
8,2,9,1,2,1,9,-1,8,1],[10,1,7,1],[7,1,10,1,11,-2],[12,10]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[5,1,3,1,1,1,4,1,2,1,3,1,4,-1,5,1],[6,10],[1,1,2,1],[2,1,1,1],[
1,1,2,-1,8,2,9,1,2,1,9,-1,8,1],[10,1,7,1],[10,2,11,-2,10,-1,7,1]]],[[[1,1,2,
1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,
1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,1],[6,1,9,-2,8,-1]],[[1,1,2,1],[2,1,1,1],[2,
-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,
1,1,1],[6,-2],[8,-1,6,1,8,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,
1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,2,6,-1,8,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,
1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[6,1,9,1],[10,2,9,1,10,1,6,1]],[[1,
1,2,1],[1,1,2,-1],[2,1,1,1,3,-2,4,-1,3,-1,4,-2,2,1],[5,5]],[[1,1,2,1],[2,1,1,
1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,
-1,7,-1,8,-2,2,1],[9,1,6,1,9,1],[10,2,6,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,
4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,
-2,2,1],[6,1,9,-2,6,-1,9,2,6,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,
2,1,1,1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[9,1,6,
-1,9,-4]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[6,
-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[
1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[9,1,6,1,9,1,6,-1,9,-2]],[[1,1,2,
1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,
1,1,7,-2,8,-1,7,-1,8,-2,2,1],[6,-1,9,-3]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,
1,1,3,-1,2,1,1,1],[5,5],[6,-2]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,
-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[9,1,
8,-1,6,1,8,1,9,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,
-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,1,6,-1]],[[1,1,2,
1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,
1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,1,8,1,6,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,
4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,
-2,2,1],[6,1,9,3]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,
5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[6,1,9,-2]],[[1,1,2,
1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[6,-2]]],[[[1,1,2,1],[2,1,
1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,
8,-1,7,-1,8,-2,2,1],[9,2,6,-1],[6,1,9,1,10,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,
4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,
-2,2,1],[9,1,6,1,9,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[
5,5],[6,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,
1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[9,1,6,-1],[10,1,9,1,10,1,
9,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5]]],[[[1,1,2,
1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,
1],[7,2,1,1,2,-1,7,1,1,1],[6,-1,8,1,6,-1,8,-1,6,-2]],[[1,1,2,1],[2,1,1,1],[2,
-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,
1,1,1],[6,1,8,1,6,1]],[[1,1,2,1],[3,2,1,1,2,-1,3,1,1,1],[4,-3]]],[[[1,1,2,1],[
2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,
7,-2,8,-1,7,-1,8,-2,2,1],[9,1,6,1],[9,1,10,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,
4,-2,1,1,3,-1,2,1,1,1],[5,5],[6,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,
3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[6,
1,9,-3,6,1,9,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[
1,1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[9,1,6,1,9,2,6,-1,9,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,
1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[6,-2],[9,-1,10,1,9,1]]],[[[1,1,2,
1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,
1,1,7,-2,8,-1,7,-1,8,-2,2,1],[6,1,9,1],[10,1,9,1,10,1,9,1]],[[1,1,2,1],[2,1,1,
1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,
-1,7,-1,8,-2,2,1],[6,-1,9,-1,6,-1,9,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,
1,3,-1,2,1,1,1],[5,5],[6,-2]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,
1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,2,6,
-1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,
2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,1,8,-1,6,1]]],[[[1,1,2,1],[2,1,1,
1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[1,1,2,-1,1,1,2,-1,1,1,2,
-1,1,1],[6,1,7,-2,6,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,
4,1,2,1,3,2],[5,11],[1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[7,1,6,1,7,-1,6,1]]],[[[
2,1,1,1],[2,-1,1,1,2,-1,3,-2],[4,3],[1,1,2,1],[2,1,1,1],[6,2,7,-2,6,1,7,-1],[
5,1,8,1],[9,2,8,1,9,2,8,1,5,1]],[[2,1,1,1],[2,-1,1,1,2,-1,3,-2],[4,3],[1,1,2,
1],[2,1,1,1],[6,2,7,-2,6,1,7,-1],[5,1,8,1],[9,4,8,1]]],[[[1,1,2,1],[2,1,1,1],[
1,1,2,-1],[5,1,3,1,1,1,4,1,2,1,3,1,4,-1,5,1],[6,10],[1,1,2,1],[2,1,1,1],[1,1,
2,-1,8,2,9,1,2,1,9,-1,8,1],[10,2],[11,1,10,1,7,1,11,1],[7,1,10,1,7,1,10,-1],[
13,1,12,1],[14,1,13,2,14,-1,13,-1,12,1,13,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[5,1,3,1,1,1,4,1,2,1,3,1,4,-1,5,1],[6,10],[1,1,2,1],[2,1,1,1],[1,1,2,-1,8,
2,9,1,2,1,9,-1,8,1],[7,1,10,1,7,1,10,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,
-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,
2,1],[6,1,9,-2,6,1,9,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,
1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[9,1,6,-1,9,
-1,6,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[6,
-2]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[
5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,2,6,1,8,1]],[[1,1,2,1],[2,1,1,1],[2,
-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,
1,1,1],[8,1,6,-1,8,-1,6,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,
1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,2,6,-1,8,
-2]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,
2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,1,8,1,6,1]]],[[[1,1,2,1],[2,1,1,
1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,
2,-1,7,1,1,1],[8,1,6,1,8,-2,6,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,
-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,2,6,1,8,
1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[
5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,-2],[9,1,8,-1,6,-1,8,1,9,1]],[[1,1,2,
1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,
1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,1,8,-1,6,1,8,2]],[[1,1,2,1],[3,2,1,1,2,-1,3,
1,1,1],[4,-3]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,
3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,2,6,1,8,1]],[[1,1,2,1],[2,
1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,
1,1,2,-1,7,1,1,1],[6,1,8,-1,6,-1]],[[1,1,2,1],[3,2,1,1,2,-1,3,1,1,1],[4,
-3]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[
5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,-1,8,-1,6,1]],[[1,1,2,1],[2,1,1,
1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,
2,-1,7,1,1,1],[6,1,8,-1,6,-1]],[[1,1,2,1],[3,2,1,1,2,-1,3,1,1,1],[4,-3]]],[[[
1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,
1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,2,6,1,8,-2]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,
3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[
8,1,6,-1,8,2,6,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,
-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,2,6,-1]]],[[[2,1,1,
1],[1,1,2,-1],[2,1,4,-1,3,1,4,-1,3,1,2,1,3,-1,4,1,1,1]],[[2,1,1,1],[1,1,2,
-1],[3,1,2,-1],[2,-1,1,1],[6,1,5,1,3,1,1,1,3,1,5,1,6,-1,5,1,1,1],[1,1,4,-1,3,
1,1,1,3,1,4,-1,3,1,2,1,3,-1,4,1,2,-1],[7,-1,8,8,7,1],[5,1,3,-1],[3,1,4,-1],[1,
1,4,-1,5,1,3,1,1,1,10,-1,11,-1,5,1,1,1,11,1,10,1,5,1,11,-1],[1,1,4,-1,3,1,1,1,
3,1,4,-1,3,1,2,1,3,-1,4,1,2,-1],[12,-1,13,3,12,1],[9,1,14,1]]],[[[1,1,2,1],[2,
1,1,1],[1,1,2,-1,4,-1,3,1,4,-1,2,-1,3,2,4,-1],[5,10],[1,1,2,1],[2,1,1,1,7,
-2],[8,1,6,1,8,1],[9,2,8,1,6,1],[10,3],[11,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1,4,-1,3,1,4,-1,2,-1,3,2,4,-1],[5,10],[1,1,2,1],[2,1,1,1,7,-2],[6,1,8,1],[9,
1,8,1,9,1],[10,3],[8,1,6,1,8,1],[12,2,8,1,6,1],[13,3],[11,1,14,1,11,1,14,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[
1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[9,1,6,-1,9,-3]],[[1,1,2,1],[2,1,
1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,
8,-1,7,-1,8,-2,2,1],[9,1,6,-1,9,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,
-1,2,1,1,1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[6,1,
9,-1,6,1,9,1]]],[[[1,1,2,1],[2,1,1,1,2,1,3,2],[4,1,2,1,1,1,4,-1],[5,-2]],[[1,
1,2,1],[2,1,1,1],[2,-1,1,1,2,-1,4,-1,1,1,3,-1,4,2,2,-1,3,-1],[5,5],[1,1,2,1],[
2,1,1,1,2,1,7,2],[8,1,2,1,1,1,8,-1],[6,-1,9,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,
3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,
8,-2,2,1],[6,1,9,1,6,-1,9,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,
1,1,1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[6,1,9,-1,
6,1,9,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[6,
-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[
1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[9,2,6,-1,9,1]],[[1,1,2,1],[2,1,1,
1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,
-1,7,-1,8,-2,2,1],[6,-1,9,-3]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,
1,1,1],[5,5],[6,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[
5,5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[6,1,9,-1,6,-1,9,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,1,
2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[6,1,9,2]],[[1,1,2,1],[2,1,1,1],[2,1,
3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[6,-2]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,
1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,
-1,8,1,6,-1,8,-1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,
-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,1,6,-1]],[[1,1,2,
1],[3,2,1,1,2,-1,3,1,1,1],[4,-3]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,1,1,3,-1,
2,1,1,1,4,1,2,1,3,2],[5,11],[1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[7,-2,6,1,7,
1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,11]]],[[[
1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,1,4,-1,2,-1,3,2,4,-1],[5,10],[1,1,2,1],[2,
1,1,1,7,-2],[8,1,6,1,8,1],[9,2,8,1,6,1],[10,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1,4,-1,3,1,4,-1,2,-1,3,2,4,-1],[5,10],[1,1,2,1],[2,1,1,1,7,-2],[6,1,8,1],[8,
1,6,1],[8,1,10,1,9,1,10,-1,9,2,8,1],[11,3]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,
4,-1,3,1,4,-1,2,-1,3,2,4,-1],[5,10],[1,1,2,1],[2,1,1,1,7,-2],[6,1,8,1],[6,1,9,
-3,8,-1],[10,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,1,4,-1,2,-1,3,2,4,
-1],[5,10],[1,1,2,1],[2,1,1,1,7,-2],[8,1,6,1],[6,1,8,1,9,-1,8,-1,9,1],[6,1,8,
1],[6,1,11,-3,8,-1],[10,1,12,1],[13,1,10,1,12,1,10,1,12,-1,13,-1]]],[[[1,1,2,
1],[2,1,1,1],[1,1,2,-1,4,-1,3,1,4,-1,2,-1,3,2,4,-1],[5,10],[1,1,2,1],[2,1,1,1,
7,-2],[6,1,8,1],[8,1,6,1],[8,1,10,1,9,1,10,-1,9,2,8,1],[11,3],[12,2]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1,4,-1,3,1,4,-1,2,-1,3,2,4,-1],[5,10],[1,1,2,1],[2,1,1,1,
7,-2],[8,1,6,1,8,1],[9,2,8,1,6,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,
2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,1,
8,1,6,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,
-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,2,6,1,8,1]],[[1,1,2,1],[3,2,1,1,
2,-1,3,1,1,1],[4,-3]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,1,4,-1,2,-1,3,2,
4,-1],[5,10],[1,1,2,1],[2,1,1,1,7,-2],[6,1,8,1],[9,1,8,1,9,1],[10,3]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1,4,-1,3,1,4,-1,2,-1,3,2,4,-1],[5,10],[1,1,2,1],[2,1,1,1,
7,-2],[8,1,6,1,8,1],[9,2,8,1,6,1],[10,3]]],[[[1,1,2,1],[2,1,1,1],[2,-1,1,1,2,
-1,4,-1,1,1,3,-1,4,2,2,-1,3,-1],[5,5]],[[1,1,2,1],[2,1,1,1,2,1,3,2],[4,1,2,1,
1,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,
2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[6,-1,9,-1,6,1,9,1]],[[1,1,
2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,1,2,-1],[2,
1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[6,-1,9,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,
1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,2,
1],[9,3,6,-1]]],[[[1,1,2,1],[1,1,2,-1],[2,1,1,1,3,-2,2,-1,4,1,2,-1,4,2,3,1],[
5,11],[1,1,2,1],[1,1,2,-1],[8,2,7,1,1,1,2,-1,1,1,7,-1,8,-1],[6,1,9,-1,6,1,9,
1]],[[1,1,2,1],[1,1,2,-1],[4,2,3,1,1,1,2,-1,1,1,3,-1,4,-1],[5,-2]]],[[[1,1,2,
1],[2,1,1,1],[1,1,2,-1,4,-1,3,1,4,-1,2,-1,3,2,4,-1],[5,10],[1,1,2,1],[2,1,1,1,
7,-2],[8,1,6,1],[6,1,8,1,9,-1,8,-1,9,1],[6,1,8,1],[6,1,11,-3,8,-1],[10,1,12,
-2,10,1,12,2,10,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,1,4,-1,2,-1,3,2,4,
-1],[5,10],[1,1,2,1],[2,1,1,1,7,-2],[8,1,6,1],[6,1,8,1,9,-1,8,-1,9,1],[6,1,8,
1],[6,1,11,-3,8,-1],[10,1,12,1,10,1,12,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,
-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,
2,1],[9,2,6,-1,9,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,
5]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,1,4,-1,2,-1,3,2,4,-1],[5,10],[1,1,
2,1],[2,1,1,1,7,-2],[8,1,6,1],[6,1,8,1,9,-1,8,-1,9,1],[6,1,8,1],[6,1,11,-3,8,
-1],[12,1,10,1],[13,1,12,-2,10,1,12,2,13,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,
4,-1,3,1,4,-1,2,-1,3,2,4,-1],[5,10],[1,1,2,1],[2,1,1,1,7,-2],[8,1,6,1],[6,1,8,
1,9,-1,8,-1,9,1],[6,1,8,1],[6,1,11,-3,8,-1],[10,1,12,1],[10,1,12,-1,13,1,12,1,
13,2]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,
-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[8,1,6,-1,8,1,6,-1]],[[1,1,2,1],[3,
2,1,1,2,-1,3,1,1,1],[4,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,
1,1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[6,-1,9,1,6,
1,9,-1]],[[1,1,2,1],[1,1,2,-1],[2,1,1,1,3,-2,4,-1,3,-1,4,-2,2,1],[5,2]],[[1,1,
2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[6,-2]]],[[[1,1,2,1],[1,
1,2,-1],[2,1,1,1,3,-2,2,-1,4,1,2,-1,4,2,3,1],[5,11],[1,1,2,1],[1,1,2,-1],[8,2,
7,1,1,1,2,-1,1,1,7,-1,8,-1],[6,1,9,1],[10,1,6,1,9,1,6,1,9,1,10,1]],[[1,1,2,
1],[1,1,2,-1],[2,1,1,1,3,-2,2,-1,4,1,2,-1,4,2,3,1],[5,11],[1,1,2,1],[1,1,2,
-1],[8,2,7,1,1,1,2,-1,1,1,7,-1,8,-1],[6,1,9,1],[9,1,6,1,10,-2,9,-1]]],[[[1,1,
2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,1,4,-1,2,-1,3,2,4,-1],[5,10],[1,1,2,1],[2,1,1,
1,7,-2],[8,2,6,1],[6,1,8,1,9,-2],[10,6]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,
3,1,4,-1,2,-1,3,2,4,-1],[5,10],[1,1,2,1],[2,1,1,1,7,-2],[6,1,8,1],[8,2,6,1,9,
-1,8,1,9,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,1,1,4,1,2,1,3,1,4,-1,
5,1],[6,10],[1,1,2,1],[2,1,1,1],[1,1,2,-1,8,2,9,1,2,1,9,-1,8,1],[10,2,7,1],[
11,6]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,1,1,4,1,2,1,3,1,4,-1,5,1],[6,
10],[1,1,2,1],[2,1,1,1],[1,1,2,-1,8,2,9,1,2,1,9,-1,8,1],[7,1,10,1],[10,1,11,1,
10,1,7,1,10,2,11,1]]],[[[1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[3,5]],[[1,1,2,1],[2,
1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,11],[1,1,2,-1,1,1,2,-1,1,1,
2,-1,1,1],[6,1,7,1],[6,1,7,-1,8,2,6,1,7,-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,
4,-1,3,1,4,-1,2,-1,3,2,4,-1],[5,10],[1,1,2,1],[2,1,1,1,7,-2],[6,1,8,1],[8,1,9,
2],[10,3]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,1,4,-1,2,-1,3,2,4,-1],[5,
10],[1,1,2,1],[2,1,1,1,7,-2],[8,1,6,1,8,1],[9,2,8,1,6,1],[10,3]]],[[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,1,1,4,1,2,1,3,1,4,-1,5,1],[6,10],[1,1,2,1],[
2,1,1,1],[1,1,2,-1,8,2,9,1,2,1,9,-1,8,1],[10,2],[11,1,10,1,7,1,11,1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,1,1,4,1,2,1,3,1,4,-1,5,1],[6,10],[1,1,2,1],[
2,1,1,1],[1,1,2,-1,8,2,9,1,2,1,9,-1,8,1],[7,1,10,1,7,1,10,-1]]],[[[1,1,2,1],[
3,2,1,1,2,-1,3,1,1,1],[4,2]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,
1,2,-1,4,-1,3,1,4,-1],[5,2]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,
1,1,2,-1,4,-1,3,1,4,-1],[5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,-1]],[[
1,1,2,1],[3,2,1,1,2,-1,3,1,1,1],[4,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,
1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,-1,7,-1,8,-2,2,1],[
6,1,9,1,6,-1]],[[1,1,2,1],[1,1,2,-1],[2,1,1,1,3,-2,4,-1,3,-1,4,-2,2,1]]],[[[1,
1,2,1],[1,1,2,-1],[2,1,1,1,3,-2,4,-1,3,-1,4,-2,2,1],[5,-2]],[[1,1,2,1],[2,1,1,
1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5],[1,1,2,1],[1,1,2,-1],[2,1,1,1,7,-2,8,
-1,7,-1,8,-2,2,1],[9,1,6,-1]]],[[[1,1,2,1],[1,1,2,-1],[2,1,1,1,3,-2,4,-1,3,-1,
4,-2,2,1],[5,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,
5]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[
5,2],[1,1,2,1],[7,2,1,1,2,-1,7,1,1,1],[6,1,8,1,6,-1]],[[1,1,2,1],[3,2,1,1,2,
-1,3,1,1,1]]],[[[1,1,2,1],[1,1,2,-1],[2,1,1,1,3,-2,2,-1,4,1,2,-1,4,2,3,1],[5,
11]],[[1,1,2,1],[1,1,2,-1],[4,2,3,1,1,1,2,-1,1,1,3,-1,4,-1]]],[[[1,1,2,1],[2,
1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,2,1,3,2],[5,11]],[[1,1,2,-1,1,1,2,-1,1,
1,2,-1,1,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,1,1,3,-1,2,1,1,1],[5,5]],[[
1,1,2,1],[1,1,2,-1],[2,1,1,1,3,-2,4,-1,3,-1,4,-2,2,1]]],[[[1,1,2,1],[2,1,1,
1],[2,-1,4,-1,3,1,4,-1,2,-1,1,1,2,-1,4,-1,3,1,4,-1],[5,2]],[[1,1,2,1],[3,2,1,
1,2,-1,3,1,1,1]]],[[[2,1,1,1],[2,-1,1,1,2,-1,3,-2],[4,3],[1,1,2,1],[2,1,1,1],[
6,2,7,-2,6,1,7,-1],[8,1,5,1],[8,-2,5,1,8,1],[10,1,9,1,10,1,9,1]],[[2,1,1,1],[
2,-1,1,1,2,-1,3,-2],[4,3],[1,1,2,1],[2,1,1,1],[6,2,7,-2,6,1,7,-1],[5,1,8,1],[
8,1,5,1],[10,1,9,-2,10,1,9,-1,10,1]]],[[[2,1,1,1],[2,-1,1,1,2,-1,3,-2],[4,
3]],[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[5,1,3,1,1,1,4,1,2,1,3,1,4,-1,5,1],[6,10],[1,1,2,1],[2,1,1,1],[1,1,2,-1,8,
2,9,1,2,1,9,-1,8,1],[7,1,10,1],[10,1,7,1],[11,1,10,1,11,1,12,-2,11,-1]],[[1,1,
2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,1,1,4,1,2,1,3,1,4,-1,5,1],[6,10],[1,1,2,
1],[2,1,1,1],[1,1,2,-1,8,2,9,1,2,1,9,-1,8,1],[7,1,10,1],[10,1,11,1,10,1,7,1,
10,2,11,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,1,4,-1,2,-1,3,2,4,-1],[5,
10],[1,1,2,1],[2,1,1,1,7,-2],[8,1,6,1],[6,1,8,1,9,-1,8,-1,9,1]],[[1,1,2,1],[2,
1,1,1],[1,1,2,-1,4,-1,3,1,4,-1,2,-1,3,2,4,-1],[5,10],[1,1,2,1],[2,1,1,1,7,
-2],[6,1,8,1],[6,1,9,-3,8,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,1,4,-1,
2,-1,3,2,4,-1],[5,10]],[[1,1,2,1],[2,1,1,1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,
2,-1],[5,1,3,1,1,1,4,1,2,1,3,1,4,-1,5,1],[6,10]],[[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]]]]);
AFLT( "McL","McL.2",[1,2,4,5,8,7,10,11,12,13,18,19,20,20,22,24,28,32,26,34,35,
37,36,38,39,41,44,48,48,49,46,47,59,53,58,63,64,65,65,66,67,71,75,89,89,78,70,
87,93,95,99,104,101,106,109,111,115,117,119,119,118,120,136,136,128,128,127,
130,135,139,141,142,143,144,145,145,146,147,149,148,151,150,153,155,159,159,
167,167,164,165,176,168,184,185,186,187,187,189,198,201,199,202,206,211,212,
212,225,225,221,230,230,215,214,216,216,229,229,226,227,220,232,241,249,249,
250,251,245,244,246,254,262,263,263,267,267,266,265,268,270,272,272,275,279,
279,273,290,305,293,297,287,288,302,301,309,314,314,316,317,318,320,320,319,
321,322,322,324,324,325,332,332,340,340,333,335,346,346,342,337,348,351,360,
361,363,363,362,365,357,358,371,371,370,376,376,377,378,381,383,383,386,387,
393,395,395,398,405,411,415,415,418,421,425,426,426,428,429,430,430,431,431,
432,434,434,436,436,433,437,437,439,439,441,441,443,443,442,458,458,452,453,
468,460,473,472,479,480,481,482,485,486,486,490,490,494,494,493,491,496,499,
505,506,506,507,507,512,512,513,513,509,510,511,508,514,522,522,517,521,521,
519,524,531,534,537,540,543,543,541,544,544,552,547,551,556,556,555,560,560,
561,563,571,571,567,570,572,573,577,578,583,585,585,586,586,588,590,592,595,
601,598,603,606,613,613,614,621,625,628,630,630,631,636,633,640,646,650,650,
649,649,648,652,652,653,653,655,660,658,664,668,676,677,678,680,680,681,683,
690,692,694,699,705,706,708,708,710,709,716,716,714,713,717,720,727,729,729,
730,732] );
AFLT( "McL.2", "Co3", [1,2,3,4,5,7,8,9,11,12,13,21,23,24,17,19,18,16,26,27,31,34,
33,35,48,49,47,39,37,40,42,41,46,51,50,54,53,58,62,63,59,60,61,64,65,66,67,69,
69,76,74,77,73,80,78,82,84,83,86,88,90,89,91,92,94,106,99,101,137,139,113,111,
116,117,125,129,135,156,151,155,157,160,141,143,144,147,149,148,161,164,168,
163,170,171,172,177,176,180,197,199,184,191,192,185,189,182,195,205,209,207,
208,213,211,214,216,218,220,224,223,227,228,262,266,252,249,231,234,234,229,
230,241,254,255,256,258,242,244,261,238,239,267,268,269,272,275,274,275,285,
283,284,286,291,292,294,301,304,327,298,331,346,348,358,344,336,385,386,428,
354,357,412,414,366,370,363,381,395,390,421,427,417,406,430,430,432,432,431,
433,435,434,440,442,446,448,447,452,449,473,455,458,457,461,464,468,471,475,
476,480,479,484,482,487,488,490,494,493,495,510,514,518,517,497,501,499,526,
529,521,508,507,565,537,541,572,535,558,546,545,553,564,574,576,575,586,589,
590,592,593,598,599,580,579,580,608,615,614,620,620,619,641,640,639,642,644,
646,654,649,650,650,655,653,665,726,724,781,684,748,762,764,692,793,796,721,
791,736,799,807,807,808,809,815,817,814,822,821,824,823,811,810,834,834,812,
813,819,818,832,826,848,844,846,829,841,851,835,842,852,854,855,857,861,865,
865,870,870,877,882,884,886,910,914,917,893,899,942,879,881,889,900,929,922,
940,937,906,907,946,948,921,963,952,970,971,972,973,974,977,997,996,996,998,
999,978,979,979,980,981,1004,1000,1008,988,983,992,1012,1013,1014,1019,1020,
1035,1036,1038,1040,1048,1049,1044,1042,1045,1054,1053,1052,1057,1079,1070,
1118,1123,1122,1159,1141,1166,1172,1171,1173,1174,1176,1196,1180,1179,1178,
1181,1169,1198,1202,1201,1200,1195,1190,1193,1204,1207,1208,1213,1210,1243,
1219,1216,1261,1236,1253,1232,1232,1274,1279,1279,1280,1277,1295,1283,1299,
1288,1294,1359,1322,1314,1351,1360,1344,1326,1318,1329,1327,1365,1349,1372,
1382,1382,1383,1384,1394,1396,1389,1391,1376,1377,1386,1387,1401,1401,1398,
1400,1374,1415,1402,1411,1409,1429,1430,1433,1434,1441,1442,1439,1445,1448,
1451,1457,1462,1463,1503,1513,1514,1533,1524,1534,1539,1540,1544,1551,1551,
1553,1545,1556,1546,1548,1572,1564,1592,1592,1593,1595,1598,1597,1602,1600,
1599,1599,1601,1601,1608,1620,1609,1622,1627,1639,1640,1667,1644,1659,1669,
1677,1706,1693,1688,1713,1712,1715,1717,1732,1724,1750,1758,1760,1762,1761,
1781,1788,1785,1783,1791,1807,1805,1799,1800,1812,1803,1804,1802,1801,1823,
1819,1819,1818,1821,1824,1814,1828,1830,1832,1839,1840,1852,1833,1834,1834,
1836,1837,1853,1844,1845,1847,1849,1857,1862,1863,1884,1888,1895,1893,1894,
1904,1905,1907,1908,1909,1910,1913,1915,1934,1943,1944,1945,1949,1958,1957,
1954,1952,1959,1969,1983,1980,1973,1974,1975,1972,1982,1989,1991,1993,1997,
1998,2013,2006,2005,2010,2016,2019,2029,2026,2045,2044,2043,2070,2071,2072,
2074,2076,2077,2078,2080,2085,2094,2096,2088,2090,2098,2107,2106,2112,2125,
2121,2127,2128,2132,2133,2133,2134,2139,2140,2148,2150,2149,2158,2155,2154,
2156,2159,2179,2177,2178,2186,2191,2204,2200,2198,2219,2207,2210,2233,2254,
2253,2252,2251,2258,2259,2261,2263,2265,2266,2274,2277,2276,2269,2273,2284,
2285,2297,2305,2322,2323,2321,2324,2326,2330,2331,2333,2348,2349,2360,2372,
2373,2374,2383,2395,2398,2400,2415,2414,2416,2418,2412,2419,2427,2426,2430,
2428,2433,2431,2438,2440,2444,2445,2451,2460,2468,2473,2476,2481,2482]);
AFLT( "HS", "Co3", [1,2,3,5,7,8,8,9,9,10,11,11,12,13,13,18,19,16,24,23,26,27,27,
28,30,31,39,39,36,39,37,38,38,35,32,34,35,40,44,42,46,44,41,45,45,41,48,49,49,
54,59,60,61,59,62,63,64,69,68,69,69,86,88,78,77,80,76,73,67,84,90,93,94,96,
103,103,104,105,106,106,107,108,109,124,125,126,125,125,132,132,130,133,135,
134,136,99,102,100,112,111,110,113,115,114,122,115,119,161,161,161,162,162,
153,152,153,154,156,160,159,168,167,164,169,169,149,140,146,147,149,145,139,
198,175,172,190,195,207,208,208,210,211,212,213,209,214,216,231,233,234,233,
234,234,242,244,242,245,262,266,222,224,223,238,239,256,252,261,267,267,295,
296,293,315,297,299,301,303,307,310,314,331,333,333,331,334,325,326,330,336,
337,338,336,339,320,317,322,335,341,340,428,428,428,403,404,345,342,343,343,
383,385,389,420,420,419,354,355,394,393,397,398,401,396,394,395,373,374,364,
365,365,382,379,381,362,360,409,426,415,450,431,433,433,431,442,436,444,461,
470,477,476,475,478,479,480,484,488,529,532,521,521,537,538,539,541,542,537,
538,560,560,561,565,519,516,514,517,512,501,502,500,495,564,574,575,576,575,
644,646,648,649,649,650,650,652,656,658,657,663,660,661,665,667,723,724,723,
724,676,763,763,709,706,710,691,715,714,712,793,792,793,792,772,735,733,740,
741,753,781,688,687,683,689,683,682,701,681,694,693,694,698,697,758,756,748,
750,704,705,754,775,680,679,770,785,815,816,809,806,809,833,833,823,820,825,
829,835,843,848,852,853,854,882,883,933,935,937,937,930,964,963,962,962,924,
923,924,929,969,957,939,942,899,898,918,970,970,971,972,1042,1044,1045,1044,
1046,1039,1040,1050,1048,1055,1056,1057,1063,1077,1083,1084,1097,1112,1089,
1102,1162,1162,1106,1107,1096,1138,1160,1159,1163,1163,1076,1073,1117,1134,
1133,1130,1166,1170,1175,1177,1176,1168,1197,1199,1204,1206,1207,1280,1279,
1280,1280,1277,1281,1283,1325,1326,1297,1298,1294,1293,1314,1309,1310,1312,
1305,1306,1335,1370,1359,1369,1367,1372,1434,1432,1433,1431,1442,1443,1444,
1439,1446,1462,1463,1467,1468,1478,1495,1483,1474,1501,1514,1526,1518,1532,
1535,1538,1537,1536,1539,1594,1593,1594,1600,1601,1600,1601,1604,1606,1605,
1616,1644,1645,1647,1646,1621,1660,1622,1661,1612,1648,1649,1708,1711,1712,
1760,1762,1761,1776,1791,1790,1792,1795,1798,1797,1796,1828,1841,1840,1845,
1843,1835,1836,1837,1837,1835,1846,1855,1875,1878,1882,1879,1889,1905,1904,
1944,1943,1945,1967,1968,1971,1994,1993,1995,2004,2006,2008,2009,2000,2014,
2011,2063,2060,2075,2074,2112,2132,2132,2133,2146,2189,2259,2261,2288,2307,
2306,2327,2328,2374,2375,2420,2413,2450,2451,2460,2459,2468,2480]);
#############################################################################
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##
#E