File: tml52.tom

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#############################################################################
##
#W  tml52.tom            GAP table of marks library           Thomas Merkwitz
##
#H  @(#)$Id: tml52.tom,v 4.2 2001/07/05 07:01:30 gap Exp $
##
#Y  Copyright (C)  1997,  Lehrstuhl D fuer Mathematik,  RWTH Aachen,  Germany
##
##  This file contains the table of marks of the ATLAS group $L5(2)$
##
#H  tomlib history
#H  --------------
#H  $Log: tml52.tom,v $
#H  Revision 4.2  2001/07/05 07:01:30  gap
#H  first revision for tomlib
#H
#H
#H  tom history (GAP 4)
#H  -------------------
#H  (Rev. 4.2 of tomlib coincides with Rev. 4.1 of tom in GAP 4)
#H  
#H  RCS file: /gap/CVS/GAP/4.0/tom/tml52.tom,v
#H  Working file: tml52.tom
#H  head: 4.1
#H  branch:
#H  locks: strict
#H  access list:
#H  symbolic names:
#H  	GAP4R2: 4.1.0.10
#H  	GAP4R2PRE2: 4.1.0.8
#H  	GAP4R2PRE1: 4.1.0.2
#H  	GAP4R1: 4.1.0.6
#H  	GAP4B5: 4.1.0.4
#H  	dec16-98b: 4.1
#H  	GAP4b4: 4.1
#H  	version-14-apr: 4.1
#H  	version-15-jun: 4.1
#H  keyword substitution: kv
#H  total revisions: 2;	selected revisions: 2
#H  description:
#H  ----------------------------
#H  revision 4.1
#H  date: 1997/11/20 11:51:23;  author: gap;  state: Exp;  lines: +2 -2
#H  changed revision number to 4.1
#H  ----------------------------
#H  revision 1.1
#H  date: 1997/11/17 13:01:43;  author: gap;  state: Exp;
#H  added new table of marks library file
#H  ==========================================================================
#H
Revision.tml52_tom :=
    "@(#)$Id: tml52.tom,v 4.2 2001/07/05 07:01:30 gap Exp $";

SetActualLibFileName("tml52");
LIBTOM( "L5(2)",
[[1],[1,2],[1,3],[1,4],[1,5],[1,2,6],[1,2,7],[1,3,8],[1,3,9],[1,2,3,10],[1,2,
3,11],[1,2,3,12],[1,3,13],[1,3,14],[1,2,3,15],[1,2,16],[1,2,17],[1,3,18],[1,
19],[1,2,4,20],[1,3,4,21],[1,3,5,22],[1,2,4,23],[1,3,5,24],[1,25],[1,2,7,26],[
1,2,6,27],[1,2,3,6,11,28],[1,2,3,8,10,12,29],[1,2,3,9,11,12,30],[1,2,3,7,15,
31],[1,2,3,6,10,15,32],[1,2,3,12,13,15,33],[1,3,9,34],[1,3,13,35],[1,2,3,7,10,
11,36],[1,2,3,10,14,37],[1,2,3,11,14,38],[1,2,3,9,10,11,39],[1,2,3,8,9,11,
40],[1,2,3,6,7,10,12,41],[1,2,3,10,13,15,42],[1,2,3,8,13,15,43],[1,2,3,7,11,
12,44],[1,2,3,6,12,15,45],[1,2,3,14,15,46],[1,2,3,9,10,11,12,47],[1,2,3,10,12,
13,15,48],[1,2,6,7,16,49],[1,2,3,7,10,16,50],[1,2,3,6,10,16,51],[1,2,3,10,16,
52],[1,2,3,10,11,17,53],[1,2,3,11,17,54],[1,2,3,6,11,17,55],[1,2,3,10,15,17,
56],[1,2,3,15,17,57],[1,2,3,7,15,17,58],[1,2,3,12,14,18,59],[1,3,8,14,18,60],[
1,3,9,14,18,61],[1,2,3,11,15,16,62],[1,3,13,14,18,63],[1,2,3,10,16,64],[1,2,3,
10,16,65],[1,2,7,17,66],[1,2,6,16,67],[1,2,3,10,17,68],[1,2,3,11,17,69],[1,2,
3,10,18,70],[1,2,3,11,18,71],[1,2,7,16,72],[1,2,6,17,73],[1,2,3,15,17,74],[1,
2,3,15,18,75],[1,2,3,12,16,17,76],[1,2,17,77],[1,2,17,78],[1,2,16,79],[1,2,17,
80],[1,4,5,81],[1,3,19,82],[1,2,4,7,83],[1,2,4,6,84],[1,3,4,8,85],[1,2,5,6,
86],[1,3,5,8,87],[1,3,5,9,88],[1,2,5,7,89],[1,3,4,8,90],[1,3,4,14,91],[1,3,5,
13,92],[1,2,4,7,23,93],[1,2,4,6,23,94],[1,3,5,8,24,95],[1,2,4,17,23,96],[1,3,
5,18,24,97],[1,2,3,4,11,21,23,98],[1,2,3,4,15,21,23,99],[1,2,3,4,12,20,21,23,
100],[1,3,5,14,22,24,101],[1,2,4,16,23,102],[1,2,25,103],[1,5,19,104],[1,2,7,
26,105],[1,2,6,27,106],[1,2,3,6,8,9,11,28,40,107],[1,2,3,8,9,10,11,12,30,34,
39,40,47,108],[1,2,3,7,8,13,15,31,43,109],[1,2,3,8,10,12,13,15,33,35,42,43,48,
110],[1,2,3,7,10,11,14,36,37,38,111],[1,2,3,6,10,14,15,32,37,46,112],[1,2,3,6,
7,10,12,15,27,32,41,45,113],[1,2,3,6,7,10,11,12,26,36,41,44,114],[1,2,3,6,7,8,
10,12,29,41,115],[1,2,3,6,7,10,12,13,15,31,32,41,42,48,116],[1,2,3,6,8,10,12,
13,15,29,32,33,42,43,45,48,117],[1,2,3,6,7,9,10,11,12,28,36,39,41,47,118],[1,
2,3,7,8,9,10,11,12,29,30,36,39,40,44,47,119],[1,2,3,6,7,9,10,11,12,28,30,41,
44,47,120],[1,2,3,6,7,10,12,13,15,31,33,41,45,48,121],[1,2,6,16,27,67,122],[1,
2,7,16,26,72,123],[1,2,3,6,10,15,16,32,65,67,124],[1,2,3,7,10,11,16,36,65,72,
125],[1,2,3,10,14,16,37,64,65,126],[1,2,3,7,10,11,17,36,66,69,127],[1,2,3,7,
10,11,18,36,70,71,128],[1,2,3,6,10,15,17,32,73,74,129],[1,2,3,6,10,15,18,32,
70,75,130],[1,2,3,6,7,10,12,17,41,66,68,73,131],[1,2,3,8,10,12,16,17,29,64,68,
76,132],[1,2,3,6,7,10,12,16,41,64,67,72,133],[1,2,3,6,7,10,12,16,17,41,67,73,
76,134],[1,2,3,6,7,10,12,16,17,41,66,72,76,135],[1,2,6,17,73,136],[1,2,7,17,
66,137],[1,2,6,16,17,67,73,138],[1,2,6,16,17,67,73,139],[1,2,7,16,17,66,72,
140],[1,2,7,16,17,66,72,141],[1,2,6,16,17,67,73,142],[1,2,7,16,17,66,72,143],[
1,2,3,10,16,18,64,70,144],[1,2,3,10,16,18,64,70,145],[1,2,3,10,16,17,18,65,68,
70,146],[1,2,6,16,67,79,147],[1,2,7,16,72,79,148],[1,2,7,17,66,78,149],[1,2,6,
17,73,77,150],[1,2,3,10,16,64,65,79,151],[1,2,3,6,7,10,12,17,41,73,152],[1,2,
3,6,7,10,12,17,41,66,153],[1,2,3,6,11,16,17,28,67,73,154],[1,2,3,7,15,16,17,
31,66,72,155],[1,2,3,6,7,10,12,18,41,70,156],[1,2,3,8,10,12,16,18,29,65,70,
157],[1,2,3,7,15,17,31,66,158],[1,2,3,6,7,10,12,16,41,72,159],[1,2,3,6,11,17,
28,73,160],[1,2,3,6,11,18,28,71,161],[1,2,3,9,11,12,17,18,30,69,71,162],[1,2,
3,7,15,16,31,72,163],[1,2,3,6,7,10,12,16,17,41,66,72,164],[1,2,6,17,27,73,
165],[1,2,3,6,10,15,16,32,67,166],[1,2,3,6,7,10,12,16,41,67,167],[1,2,3,6,11,
16,28,67,168],[1,2,3,6,7,10,12,16,17,41,67,73,169],[1,2,7,17,26,66,170],[1,2,
3,7,10,11,16,36,72,171],[1,2,3,6,10,15,16,17,32,67,73,172],[1,2,3,7,10,11,16,
17,36,66,72,173],[1,2,3,6,10,15,18,32,70,174],[1,2,3,10,13,15,16,18,42,65,70,
175],[1,2,3,7,10,11,18,36,70,176],[1,2,3,9,10,11,16,18,39,65,70,177],[1,2,3,9,
10,11,18,39,71,178],[1,2,3,8,9,11,17,18,40,69,71,179],[1,2,3,7,15,18,31,75,
180],[1,2,3,12,13,15,17,18,33,74,75,181],[1,2,3,10,14,17,18,37,68,70,182],[1,
2,3,10,13,15,18,42,75,183],[1,2,3,8,13,15,17,18,43,74,75,184],[1,2,3,6,10,15,
16,27,32,51,67,185],[1,2,3,6,10,15,17,32,57,73,186],[1,2,3,7,14,15,17,31,46,
57,58,74,187],[1,2,3,12,13,14,15,18,33,46,59,63,75,188],[1,2,3,7,10,11,17,36,
54,66,189],[1,2,3,7,10,11,15,17,31,36,56,66,190],[1,2,3,6,10,11,15,17,28,32,
53,73,191],[1,2,3,6,9,10,11,15,17,32,39,53,55,68,192],[1,2,3,7,10,11,13,15,17,
36,42,56,58,68,193],[1,2,3,9,10,11,13,15,16,39,42,62,64,194],[1,2,3,8,10,12,
14,18,29,37,59,60,70,195],[1,2,3,9,11,12,14,18,30,38,59,61,71,196],[1,2,3,6,
11,14,17,28,38,54,55,69,197],[1,2,3,9,10,11,12,13,15,16,17,47,48,52,53,56,62,
76,198],[1,2,3,10,14,16,37,52,64,199],[1,2,3,6,7,10,11,12,16,36,41,51,52,72,
200],[1,2,3,7,15,17,26,31,58,66,201],[1,2,3,6,7,10,12,15,16,32,41,50,52,67,
202],[1,2,3,6,7,10,11,15,16,32,36,49,50,51,52,64,203],[1,2,3,6,7,10,12,14,16,
37,41,50,51,65,204],[1,2,3,6,7,10,12,16,26,41,49,50,72,205],[1,2,3,7,10,11,16,
26,36,50,72,206],[1,2,3,6,7,10,12,16,27,41,49,51,67,207],[1,2,3,6,11,17,27,28,
55,73,208],[1,2,3,6,10,14,15,16,32,37,51,52,65,209],[1,2,3,7,10,11,15,16,31,
36,62,72,210],[1,2,3,6,7,10,11,12,17,36,41,53,55,66,211],[1,2,3,7,10,11,12,13,
15,16,17,44,48,50,53,58,62,76,212],[1,2,3,6,7,10,12,15,17,32,41,56,58,73,
213],[1,2,3,6,10,11,15,16,28,32,62,67,214],[1,2,3,6,9,10,11,12,15,16,17,45,47,
51,55,56,62,76,215],[1,2,3,7,10,11,14,16,36,37,50,52,65,216],[1,2,3,9,10,11,
14,18,37,39,61,70,217],[1,2,3,8,9,11,14,18,38,40,60,61,71,218],[1,2,3,9,10,11,
14,17,38,39,53,54,69,219],[1,2,3,10,13,14,15,18,37,42,63,70,220],[1,2,3,10,13,
14,15,17,42,46,56,57,74,221],[1,2,3,8,13,14,15,18,43,46,60,63,75,222],[1,2,3,
6,7,11,12,15,16,17,44,45,49,55,58,62,76,223],[1,2,3,10,16,52,65,79,224],[1,2,
3,7,10,16,50,52,64,65,72,79,225],[1,2,3,10,15,17,56,57,68,74,77,226],[1,2,3,6,
7,10,16,49,50,51,65,67,72,79,227],[1,2,3,6,11,17,54,55,69,73,78,228],[1,2,3,6,
10,16,51,52,64,65,67,79,229],[1,2,3,7,15,17,57,58,66,74,77,230],[1,2,3,10,11,
17,53,54,68,69,78,231],[1,2,6,17,73,80,232],[1,2,3,10,17,68,80,233],[1,2,7,17,
66,80,234],[1,2,3,15,17,57,78,80,235],[1,2,3,11,17,54,77,80,236],[1,2,3,11,15,
17,54,57,80,237],[1,2,17,77,78,80,238],[1,3,4,5,21,22,81,239],[1,3,4,5,22,24,
81,240],[1,2,4,5,20,23,81,241],[1,3,18,19,82,242],[1,4,25,243],[1,5,25,244],[
1,4,25,245],[1,2,4,6,7,16,20,49,84,246],[1,2,4,6,7,16,20,49,83,247],[1,2,3,4,
6,10,16,21,51,84,248],[1,2,3,4,7,10,16,21,50,83,249],[1,3,4,8,14,18,21,60,91,
250],[1,3,4,9,14,18,21,61,91,251],[1,2,3,4,12,14,18,20,59,91,252],[1,2,3,4,6,
11,17,21,55,84,253],[1,2,3,4,7,15,17,21,58,83,254],[1,3,4,13,14,18,21,63,91,
255],[1,3,5,9,14,18,22,61,88,256],[1,3,5,8,14,18,22,60,87,257],[1,3,4,8,14,18,
21,60,85,258],[1,2,3,5,7,15,17,22,58,89,259],[1,3,4,8,14,18,21,60,90,260],[1,
2,3,5,6,11,17,22,55,86,261],[1,3,5,13,14,18,22,63,92,262],[1,2,4,6,23,27,84,
263],[1,2,4,7,23,26,83,264],[1,2,3,4,10,14,23,37,91,265],[1,2,3,4,11,14,23,38,
91,266],[1,2,3,4,6,12,15,23,45,84,267],[1,2,3,4,14,15,23,46,91,268],[1,2,3,5,
12,13,15,24,33,92,269],[1,2,3,5,7,15,24,31,89,270],[1,2,3,4,7,11,12,23,44,83,
271],[1,2,3,4,8,13,15,23,43,85,272],[1,2,3,5,9,11,12,24,30,88,273],[1,2,3,5,8,
10,12,24,29,87,274],[1,2,3,5,6,11,24,28,86,275],[1,2,3,4,8,9,11,23,40,90,
276],[1,3,5,13,24,35,92,277],[1,3,5,9,24,34,88,278],[1,2,3,4,6,12,15,20,21,23,
45,94,99,100,279],[1,2,3,4,7,11,12,20,21,23,44,93,98,100,280],[1,2,4,17,23,77,
281],[1,2,4,17,23,78,282],[1,2,4,16,23,79,283],[1,2,3,4,6,11,17,21,23,55,94,
96,98,284],[1,2,3,4,7,15,17,21,23,58,93,96,99,285],[1,3,5,8,14,18,22,24,60,95,
97,101,286],[1,2,3,4,12,16,17,20,21,23,76,96,100,102,287],[1,2,4,6,7,16,23,49,
93,94,102,288],[1,2,3,4,11,15,16,21,23,62,98,99,102,289],[1,3,5,19,24,82,104,
290],[1,291],[1,2,3,6,7,10,12,15,16,27,32,41,45,49,51,67,106,113,122,185,207,
292],[1,2,3,6,7,10,11,12,16,26,36,41,44,49,50,72,105,114,123,205,206,293],[1,
2,3,6,7,10,11,12,13,15,17,26,31,32,36,41,42,44,48,56,58,66,68,73,114,116,131,
190,193,201,213,294],[1,2,3,6,7,9,10,11,12,15,17,27,28,32,36,39,41,45,47,53,
55,66,68,73,113,118,131,191,192,208,211,295],[1,2,3,6,7,9,10,11,12,13,15,16,
28,31,32,36,39,41,42,47,48,62,64,67,72,116,118,133,194,210,214,296],[1,2,3,6,
7,9,10,11,12,13,15,16,17,28,30,31,32,41,42,44,47,48,50,52,53,56,58,62,67,73,
76,116,120,134,191,198,202,212,213,214,297],[1,2,3,6,7,9,10,11,12,13,15,16,17,
28,31,33,36,39,41,45,47,48,51,52,53,55,56,62,66,72,76,118,121,135,190,198,200,
210,211,215,298],[1,2,3,6,7,8,9,10,11,12,13,15,16,17,29,30,32,33,36,39,40,42,
43,44,45,47,48,49,50,51,52,53,55,56,58,62,64,68,76,117,119,132,192,193,194,
198,203,212,215,223,299],[1,2,3,6,7,10,12,14,15,16,27,32,37,41,45,46,50,51,52,
65,67,112,113,124,185,202,204,209,300],[1,2,3,6,7,10,11,12,14,16,26,36,37,38,
41,44,50,51,52,65,72,111,114,125,200,204,206,216,301],[1,2,3,6,7,10,11,12,15,
16,26,27,32,36,41,44,45,49,50,51,52,64,67,72,113,114,133,200,202,203,205,207,
302],[1,2,3,6,7,10,11,14,15,16,32,36,37,38,46,49,50,51,52,64,65,111,112,126,
199,203,209,216,303],[1,2,3,6,7,10,12,13,14,15,17,31,32,37,41,42,46,48,56,57,
58,73,74,112,116,129,186,187,213,221,304],[1,2,3,6,8,10,12,13,14,15,18,29,32,
33,37,42,43,45,46,48,59,60,63,70,75,112,117,130,188,195,220,222,305],[1,2,3,6,
7,9,10,11,12,14,17,28,36,37,38,39,41,47,53,54,55,66,69,111,118,127,189,197,
211,219,306],[1,2,3,7,8,9,10,11,12,14,18,29,30,36,37,38,39,40,44,47,59,60,61,
70,71,111,119,128,195,196,217,218,307],[1,2,3,6,7,10,11,12,13,15,16,17,26,31,
33,36,41,44,45,48,49,50,53,55,58,62,66,72,76,114,121,135,201,205,210,211,212,
223,308],[1,2,3,6,7,9,10,11,12,15,16,17,27,28,30,32,41,44,45,47,49,51,55,56,
58,62,67,73,76,113,120,134,207,208,213,214,215,223,309],[1,2,3,6,7,8,9,10,11,
12,26,28,29,30,36,39,40,41,44,47,114,115,118,119,120,310],[1,2,3,6,7,8,10,12,
13,15,27,29,31,32,33,41,42,43,45,48,113,115,116,117,121,311],[1,2,3,6,7,8,9,
10,11,12,28,29,30,34,36,39,40,41,44,47,107,108,118,119,120,312],[1,2,3,6,7,8,
10,12,13,15,29,31,32,33,35,41,42,43,45,48,109,110,116,117,121,313],[1,2,3,7,8,
13,15,17,26,31,43,58,66,109,158,201,314],[1,2,3,6,7,10,11,12,13,15,17,31,33,
36,41,45,48,53,55,56,66,121,153,158,190,211,315],[1,2,3,7,8,10,11,13,15,16,17,
31,36,43,56,62,66,72,109,155,163,190,210,316],[1,2,3,6,7,10,11,12,13,15,16,17,
31,32,36,41,42,48,53,55,56,62,66,72,116,155,158,164,190,210,211,317],[1,2,3,6,
8,9,11,17,27,28,40,55,73,107,160,208,318],[1,2,3,6,8,9,10,11,15,16,17,28,32,
40,53,62,67,73,107,154,168,191,214,319],[1,2,3,6,7,9,10,11,12,15,17,28,30,32,
41,44,47,53,56,58,73,120,152,160,191,213,320],[1,2,3,6,7,9,10,11,12,15,16,17,
28,32,36,39,41,47,53,56,58,62,67,73,118,154,160,169,191,213,214,321],[1,2,3,6,
7,9,10,11,12,14,17,18,28,30,38,41,44,47,54,55,59,61,69,71,120,161,162,196,197,
322],[1,2,3,6,7,8,10,12,16,26,29,41,49,50,72,115,159,205,323],[1,2,3,6,7,8,10,
12,16,27,29,41,49,51,67,115,167,207,324],[1,2,3,7,15,17,26,31,58,66,105,170,
201,325],[1,2,3,6,11,17,27,28,55,73,106,165,208,326],[1,2,3,6,7,10,12,13,15,
16,27,31,32,41,42,48,49,51,67,116,166,167,185,207,327],[1,2,3,6,7,10,12,13,15,
16,17,26,31,32,41,42,48,49,50,58,66,72,116,153,155,201,205,328],[1,2,3,6,7,8,
10,11,12,16,17,29,36,41,51,52,53,55,66,72,115,153,164,200,211,329],[1,2,3,6,7,
8,10,12,15,16,17,29,32,41,50,52,56,58,67,73,115,152,169,202,213,330],[1,2,3,6,
7,9,10,11,12,16,17,27,28,36,39,41,47,49,51,55,67,73,118,152,154,207,208,331],[
1,2,3,6,7,9,10,11,12,15,16,28,32,36,39,41,47,50,52,62,67,118,167,168,202,214,
332],[1,2,3,6,7,10,11,12,13,15,16,31,32,36,41,42,48,51,52,62,72,116,159,163,
200,210,333],[1,2,3,6,7,9,10,11,12,15,16,17,28,30,32,41,44,47,50,52,56,58,62,
67,73,120,154,167,169,202,213,214,334],[1,2,3,6,7,10,11,12,13,15,16,17,31,33,
36,41,45,48,51,52,53,55,62,66,72,121,155,159,164,200,210,211,335],[1,2,3,6,7,
8,10,12,14,16,18,29,37,41,50,51,59,60,65,70,115,156,157,195,204,336],[1,2,3,6,
7,10,12,13,15,16,17,31,32,41,42,48,50,52,57,67,73,116,152,172,186,202,337],[1,
2,3,6,10,11,14,15,16,17,28,32,37,46,53,62,67,73,112,166,172,191,214,338],[1,2,
3,6,7,10,12,13,14,15,16,18,31,32,37,41,42,48,50,51,63,65,70,116,156,175,204,
220,339],[1,2,3,6,8,10,12,13,14,15,16,18,29,32,33,37,42,43,45,48,51,52,59,60,
63,65,70,117,157,174,175,195,209,220,340],[1,2,3,7,10,11,14,15,16,17,31,36,37,
38,56,62,66,72,111,171,173,190,210,341],[1,2,3,6,7,9,10,11,12,16,17,28,36,39,
41,47,51,52,54,66,72,118,153,173,189,200,342],[1,2,3,6,7,9,10,11,12,14,16,18,
28,36,37,39,41,47,50,51,61,65,70,118,156,177,204,217,343],[1,2,3,7,8,9,10,11,
12,14,16,18,29,30,36,37,39,40,44,47,50,52,59,60,61,65,70,119,157,176,177,195,
216,217,344],[1,2,3,6,7,10,12,13,15,16,17,26,31,33,41,45,48,49,50,58,66,72,
121,163,164,201,205,345],[1,2,3,6,7,9,10,11,12,16,26,28,36,39,41,47,49,50,72,
118,159,171,205,206,346],[1,2,3,6,7,9,10,11,12,16,17,27,28,30,41,44,47,49,51,
55,67,73,120,168,169,207,208,347],[1,2,3,7,10,11,13,14,15,17,18,36,37,38,42,
56,58,63,68,70,111,176,182,193,220,348],[1,2,3,6,9,10,11,14,15,17,18,32,37,39,
46,53,55,61,68,70,112,174,182,192,217,349],[1,2,3,6,7,10,11,12,16,17,26,36,41,
44,50,53,54,55,66,72,114,164,170,173,189,206,211,350],[1,2,3,6,7,10,12,15,16,
17,27,32,41,45,51,56,57,58,67,73,113,165,169,172,185,186,213,351],[1,2,3,6,8,
9,11,14,17,18,28,38,40,54,55,60,61,69,71,107,161,179,197,218,352],[1,2,3,8,9,
10,11,12,14,17,18,30,34,38,39,40,47,53,54,59,60,61,69,71,108,162,178,179,196,
218,219,353],[1,2,3,7,8,13,14,15,17,18,31,43,46,57,58,60,63,74,75,109,180,184,
187,222,354],[1,2,3,8,10,12,13,14,15,17,18,33,35,42,43,46,48,56,57,59,60,63,
74,75,110,181,183,184,188,221,222,355],[1,2,3,6,7,10,12,13,14,15,17,18,31,33,
41,45,46,48,57,58,59,63,74,75,121,180,181,187,188,356],[1,2,3,6,10,11,15,17,
28,32,53,57,73,136,186,191,357],[1,2,3,7,10,11,15,17,31,36,54,56,66,137,189,
190,358],[1,2,3,7,10,11,15,16,17,26,31,36,50,54,58,62,66,72,140,189,201,206,
210,359],[1,2,3,6,10,11,15,16,17,27,28,32,51,55,57,62,67,73,138,185,186,208,
214,360],[1,2,3,9,10,11,13,14,15,16,18,37,39,42,52,61,62,63,64,70,145,194,199,
217,220,361],[1,2,3,6,7,10,11,12,17,26,36,41,44,66,69,114,127,153,170,362],[1,
2,3,6,7,9,10,11,12,16,17,28,36,39,41,47,65,66,69,72,118,125,127,164,173,363],[
1,2,3,6,7,10,11,12,18,26,36,41,44,70,71,114,128,156,176,364],[1,2,3,7,8,9,10,
11,12,16,18,29,30,36,39,40,44,47,65,70,71,72,119,125,128,157,177,365],[1,2,3,
6,7,10,11,12,16,26,36,41,44,72,114,123,159,171,366],[1,2,3,6,7,10,12,15,17,27,
32,41,45,73,74,113,129,152,165,367],[1,2,3,6,7,10,12,13,15,16,17,31,32,41,42,
48,65,67,73,74,116,124,129,169,172,368],[1,2,3,6,7,10,12,15,18,27,32,41,45,70,
75,113,130,156,174,369],[1,2,3,6,8,10,12,13,15,16,18,29,32,33,42,43,45,48,65,
67,70,75,117,124,130,157,175,370],[1,2,3,6,7,10,12,15,16,27,32,41,45,67,113,
122,166,167,371],[1,2,3,6,7,10,12,15,16,17,27,32,41,45,66,72,76,113,135,153,
159,164,372],[1,2,3,6,7,10,11,12,16,17,26,36,41,44,67,73,76,114,134,152,167,
169,373],[1,2,3,6,7,9,10,11,12,16,17,28,30,41,44,47,64,67,72,73,76,120,133,
134,154,167,168,169,374],[1,2,3,6,7,10,12,13,15,16,17,31,33,41,45,48,64,66,67,
72,76,121,133,135,155,159,163,164,375],[1,2,3,6,7,9,10,11,12,16,17,28,36,39,
41,47,67,73,76,118,134,154,160,168,376],[1,2,3,6,7,9,10,11,12,16,17,28,30,41,
44,47,66,67,68,73,76,120,131,134,152,154,160,169,377],[1,2,3,6,7,10,12,13,15,
16,17,31,32,41,42,48,66,72,76,116,135,155,158,163,378],[1,2,3,6,7,10,12,13,15,
16,17,31,33,41,45,48,66,68,72,73,76,121,131,135,153,155,158,164,379],[1,2,3,6,
7,9,10,11,12,18,28,36,39,41,47,70,71,118,128,161,178,380],[1,2,3,7,8,9,10,11,
12,17,18,29,30,36,39,40,44,47,66,69,70,71,119,127,128,162,179,381],[1,2,3,6,7,
10,12,13,15,18,31,32,41,42,48,70,75,116,130,180,183,382],[1,2,3,6,8,10,12,13,
15,17,18,29,32,33,42,43,45,48,70,73,74,75,117,129,130,181,184,383],[1,2,3,6,7,
8,10,12,16,17,29,41,64,66,67,68,72,73,76,115,131,132,133,134,135,384],[1,2,3,
7,14,15,17,26,31,46,57,58,66,74,77,187,201,230,385],[1,2,3,6,11,14,17,27,28,
38,54,55,69,73,78,197,208,228,386],[1,2,3,6,7,10,12,14,16,26,27,37,41,49,50,
51,65,67,72,79,204,205,207,227,387],[1,2,3,7,10,11,13,14,15,17,31,36,42,46,56,
57,58,66,68,74,77,187,190,193,221,226,230,388],[1,2,3,6,7,10,11,12,14,15,16,
27,32,36,37,41,49,50,51,52,64,65,67,72,79,185,200,203,204,207,209,227,229,
389],[1,2,3,6,9,10,11,14,15,17,28,32,38,39,53,54,55,68,69,73,78,191,192,197,
219,228,231,390],[1,2,3,6,7,10,11,12,14,15,16,26,32,36,37,41,49,50,51,52,64,
65,67,72,79,202,203,204,205,206,216,225,227,391],[1,2,3,6,7,10,11,12,14,15,16,
32,36,37,41,50,51,52,64,65,67,72,79,199,200,202,204,209,216,224,225,229,392],[
1,2,3,6,11,16,17,28,67,73,136,139,154,393],[1,2,3,6,11,16,17,28,67,73,138,139,
142,154,160,168,394],[1,2,3,7,15,16,17,31,66,72,137,141,155,395],[1,2,3,7,15,
16,17,31,66,72,140,141,143,155,158,163,396],[1,2,3,6,10,11,15,16,17,28,32,53,
67,73,77,138,150,154,172,191,397],[1,2,3,6,11,17,27,28,55,73,77,136,150,160,
165,208,398],[1,2,3,7,10,11,15,16,17,31,36,56,66,72,78,140,149,155,173,190,
399],[1,2,3,7,15,17,26,31,58,66,78,137,149,158,170,201,400],[1,2,3,7,10,11,15,
16,17,31,36,62,66,72,79,140,148,155,163,171,173,210,401],[1,2,3,6,10,11,15,16,
17,28,32,62,67,73,79,138,147,154,166,168,172,214,402],[1,2,3,9,10,11,13,15,16,
18,39,42,62,64,65,70,79,145,151,175,177,194,403],[1,2,3,7,10,11,15,16,17,31,
36,56,65,66,72,125,141,163,171,190,404],[1,2,3,6,7,10,12,16,17,26,41,49,50,66,
68,72,73,131,143,153,170,205,405],[1,2,3,6,7,10,11,12,16,17,36,41,51,52,66,68,
72,73,131,141,159,173,200,406],[1,2,3,7,15,16,17,26,31,58,66,72,123,143,155,
170,201,407],[1,2,3,6,7,10,11,12,16,17,36,41,53,55,64,66,67,72,133,141,143,
164,171,173,211,408],[1,2,3,6,7,10,12,16,17,27,41,49,51,66,67,68,73,131,142,
152,165,207,409],[1,2,3,6,7,10,12,15,16,17,32,41,50,52,66,67,68,73,131,139,
167,172,202,410],[1,2,3,6,11,16,17,27,28,55,67,73,122,142,154,165,208,411],[1,
2,3,6,10,11,15,16,17,28,32,53,65,67,73,124,139,166,168,191,412],[1,2,3,6,7,10,
12,15,16,17,32,41,56,58,64,67,72,73,133,139,142,166,169,172,213,413],[1,2,3,7,
10,11,13,15,16,17,18,36,42,56,58,65,68,70,72,125,146,175,176,193,414],[1,2,3,
6,7,10,12,14,16,17,18,37,41,50,51,65,66,68,70,73,131,146,156,182,204,415],[1,
2,3,6,9,10,11,15,16,17,18,32,39,53,55,65,67,68,70,124,146,174,177,192,416],[1,
2,3,7,10,11,15,16,17,31,36,62,66,69,72,127,141,143,155,158,173,210,417],[1,2,
3,6,10,11,15,16,17,28,32,62,67,73,74,129,139,142,154,160,172,214,418],[1,2,3,
6,7,10,12,16,17,41,66,68,72,73,131,137,140,143,164,419],[1,2,3,6,7,10,12,16,
17,41,64,67,72,73,133,138,139,152,167,420],[1,2,3,6,7,10,12,16,17,41,66,67,68,
73,131,136,138,142,169,421],[1,2,3,6,7,10,12,16,17,41,64,66,67,72,133,140,141,
153,159,422],[1,2,3,6,7,10,12,16,18,41,64,67,70,72,133,144,145,156,423],[1,2,
3,6,7,10,12,15,16,27,32,41,49,50,51,52,64,65,67,72,79,122,124,133,147,185,202,
207,227,229,424],[1,2,3,6,7,10,11,12,17,36,41,53,54,55,66,68,69,73,78,127,131,
149,189,211,228,231,425],[1,2,3,6,7,10,12,15,17,32,41,56,57,58,66,68,73,74,77,
129,131,150,186,213,226,230,426],[1,2,3,6,7,10,11,12,16,26,36,41,49,50,51,52,
64,65,67,72,79,123,125,133,148,200,205,206,225,227,427],[1,2,3,6,7,10,12,14,
16,37,41,50,51,52,64,65,67,72,79,126,133,151,199,204,225,229,428],[1,2,3,6,7,
10,11,14,15,16,32,36,37,49,50,51,52,64,65,67,72,79,124,125,126,151,203,209,
216,224,225,227,229,429],[1,2,3,6,7,10,16,49,50,51,52,64,65,67,72,79,147,148,
151,224,225,227,229,430],[1,2,3,8,10,12,16,17,29,64,68,76,132,431],[1,2,3,6,7,
10,11,12,16,18,36,41,51,52,67,70,72,156,167,200,432],[1,2,3,6,7,10,12,14,16,
17,37,41,50,51,65,66,67,153,167,204,433],[1,2,3,6,7,10,12,16,17,18,27,41,49,
51,66,67,70,153,156,207,434],[1,2,3,6,11,17,27,28,55,73,165,208,435],[1,2,3,7,
15,17,18,26,31,58,66,75,180,201,436],[1,2,3,6,9,10,11,15,16,17,18,32,39,53,55,
67,68,70,166,174,192,437],[1,2,3,7,14,15,16,17,18,31,46,57,58,72,74,75,163,
180,187,438],[1,2,3,6,7,10,12,16,18,27,41,49,51,67,70,72,156,159,207,439],[1,
2,3,6,7,10,12,16,18,26,41,49,50,67,70,72,156,167,205,440],[1,2,3,6,7,10,12,14,
16,37,41,50,51,65,67,72,159,167,204,441],[1,2,3,6,7,10,12,16,17,18,26,41,49,
50,70,72,73,152,156,205,442],[1,2,3,6,7,10,12,14,16,17,37,41,50,51,65,72,73,
152,159,204,443],[1,2,3,6,7,10,12,15,16,18,32,41,50,52,67,70,72,156,159,202,
444],[1,2,3,7,10,11,15,17,18,31,36,56,66,70,176,190,445],[1,2,3,6,10,11,15,17,
18,28,32,53,70,73,174,191,446],[1,2,3,6,7,10,11,12,16,17,18,36,41,51,52,70,72,
73,152,156,200,447],[1,2,3,6,7,10,12,15,16,17,18,32,41,50,52,66,67,70,153,156,
202,448],[1,2,3,6,7,10,12,14,16,17,37,41,50,51,65,66,73,152,153,204,449],[1,2,
3,7,15,17,26,31,58,66,170,201,450],[1,2,3,7,10,11,15,17,18,31,36,56,66,75,180,
190,451],[1,2,3,7,14,15,17,18,31,46,57,58,66,74,75,158,180,187,452],[1,2,3,9,
10,11,13,15,16,18,39,42,62,64,75,183,194,453],[1,2,3,6,11,17,18,27,28,55,71,
73,161,208,454],[1,2,3,6,11,14,16,17,18,28,38,54,55,67,69,71,161,168,197,
455],[1,2,3,6,10,11,15,17,18,28,32,53,71,73,161,191,456],[1,2,3,6,11,14,17,18,
28,38,54,55,69,71,73,160,161,197,457],[1,2,3,9,10,11,13,15,16,18,39,42,62,64,
71,178,194,458],[1,2,3,7,10,11,13,15,16,17,18,36,42,56,58,68,70,72,171,176,
193,459],[1,2,3,6,7,10,12,16,17,41,67,73,76,77,134,139,142,150,152,169,460],[
1,2,3,6,7,10,12,16,17,41,66,72,76,78,135,141,143,149,153,164,461],[1,2,3,6,7,
10,12,16,17,41,66,72,76,79,135,141,143,148,159,164,462],[1,2,3,6,7,10,12,16,
17,41,67,73,76,79,134,139,142,147,167,169,463],[1,2,3,8,10,12,16,17,18,29,64,
65,68,70,76,79,132,144,146,151,157,464],[1,2,3,7,15,17,26,31,58,66,80,201,234,
465],[1,2,3,6,11,17,27,28,55,73,80,208,232,466],[1,2,3,6,10,11,15,17,28,32,53,
73,80,191,232,467],[1,2,3,7,10,11,15,17,31,36,56,66,80,190,234,468],[1,2,3,6,
7,10,12,15,16,17,32,41,50,52,56,57,58,67,73,76,134,142,166,172,186,202,213,
469],[1,2,3,6,10,11,15,16,17,27,28,32,51,53,55,67,73,74,129,142,154,165,185,
191,208,470],[1,2,3,6,10,11,15,16,17,28,32,57,62,65,67,73,124,139,154,166,186,
214,471],[1,2,3,6,7,10,11,12,16,17,36,41,51,52,53,54,55,66,72,76,135,143,171,
173,189,200,211,472],[1,2,3,7,10,11,15,16,17,26,31,36,50,56,58,66,69,72,127,
143,155,170,190,201,206,473],[1,2,3,7,10,11,15,16,17,31,36,54,62,65,66,72,125,
141,155,171,189,210,474],[1,2,3,7,10,11,15,16,17,26,31,36,50,58,62,66,72,123,
141,163,173,201,206,210,475],[1,2,3,6,7,10,11,12,16,17,26,36,41,49,50,53,55,
66,72,76,135,141,170,173,205,206,211,476],[1,2,3,7,10,11,15,16,17,31,36,54,56,
62,66,69,72,127,143,158,173,189,190,210,477],[1,2,3,6,10,11,15,16,17,28,32,53,
57,62,67,73,74,129,142,160,172,186,191,214,478],[1,2,3,6,7,10,12,15,16,17,27,
32,41,49,51,56,58,67,73,76,134,139,165,172,185,207,213,479],[1,2,3,6,10,11,15,
16,17,27,28,32,51,55,62,67,73,122,139,168,172,185,208,214,480],[1,2,3,8,10,12,
14,16,17,18,29,37,52,59,60,64,68,70,76,132,144,182,195,199,481],[1,2,3,6,9,10,
11,14,15,16,17,18,32,37,39,51,52,53,55,61,65,68,70,75,130,146,177,182,192,209,
217,482],[1,2,3,7,10,11,13,14,15,16,17,18,36,37,42,50,52,56,58,63,65,68,70,71,
128,146,175,182,193,216,220,483],[1,2,3,9,10,11,13,14,15,16,18,37,39,42,61,62,
63,64,65,70,126,144,175,177,194,217,220,484],[1,2,3,6,7,10,11,12,16,17,36,41,
53,55,66,69,72,76,127,135,137,143,153,173,211,485],[1,2,3,6,7,10,11,12,16,17,
36,41,53,55,65,66,72,76,125,135,140,143,159,173,211,486],[1,2,3,6,7,10,11,12,
16,17,36,41,51,52,66,69,72,76,127,135,140,141,164,171,200,487],[1,2,3,6,7,10,
12,15,16,17,32,41,56,58,67,73,74,76,129,134,136,142,152,172,213,488],[1,2,3,6,
7,10,12,16,17,26,41,49,50,66,72,76,123,135,140,141,164,170,205,489],[1,2,3,6,
7,10,12,15,16,17,32,41,56,58,65,67,73,76,124,134,138,142,167,172,213,490],[1,
2,3,6,7,10,12,15,16,17,32,41,50,52,67,73,74,76,129,134,138,139,166,169,202,
491],[1,2,3,6,7,10,12,16,17,27,41,49,51,67,73,76,122,134,138,139,165,169,207,
492],[1,2,3,6,7,10,11,15,16,18,32,36,49,50,51,52,64,70,71,75,128,130,144,145,
174,176,203,493],[1,2,3,8,10,12,14,16,17,18,29,37,59,60,64,65,68,70,76,126,
132,145,146,157,182,195,494],[1,2,3,6,7,10,12,17,41,66,68,73,80,131,232,233,
234,495],[1,2,3,7,15,17,57,58,66,74,77,78,80,149,230,234,235,238,496],[1,2,3,
6,11,17,54,55,69,73,77,78,80,150,228,232,236,238,497],[1,2,3,7,10,11,15,17,36,
54,57,58,66,74,77,80,189,230,234,236,237,498],[1,2,3,6,10,11,15,17,32,54,55,
57,69,73,78,80,186,228,232,235,237,499],[1,2,3,7,15,17,57,58,66,74,77,80,137,
230,234,500],[1,2,3,6,11,17,54,55,69,73,78,80,136,228,232,501],[1,2,3,6,11,16,
17,54,55,67,69,73,78,80,138,228,232,502],[1,2,3,7,15,16,17,57,58,66,72,74,77,
80,140,230,234,503],[1,2,3,8,10,12,16,17,29,64,68,76,80,132,233,504],[1,2,3,
10,11,15,17,53,54,56,57,68,69,74,77,78,80,226,231,233,235,236,237,238,505],[1,
2,4,5,6,23,81,84,86,94,506],[1,2,4,5,7,23,81,83,89,93,507],[1,3,4,5,8,24,81,
85,87,90,95,508],[1,2,3,4,5,12,20,21,22,23,81,100,239,241,509],[1,3,4,5,14,21,
22,24,81,101,239,240,510],[1,3,4,5,18,21,22,81,239,511],[1,2,4,20,25,103,245,
512],[1,2,4,23,25,103,243,513],[1,2,5,6,27,86,106,514],[1,2,5,7,26,89,105,
515],[1,2,3,4,6,7,8,10,12,29,41,84,85,115,516],[1,2,3,4,6,7,8,10,12,29,41,83,
90,115,517],[1,2,3,5,7,8,13,15,31,43,87,89,92,109,518],[1,2,3,5,6,8,9,11,28,
40,86,87,88,107,519],[1,2,3,4,6,8,9,11,28,40,84,85,107,520],[1,2,3,4,7,8,13,
15,31,43,83,90,109,521],[1,2,4,7,23,26,83,93,105,264,522],[1,2,4,6,23,27,84,
94,106,263,523],[1,2,3,5,6,7,8,10,12,24,29,41,87,95,115,274,524],[1,2,3,5,6,8,
9,11,24,28,40,86,95,107,275,525],[1,2,3,5,8,9,10,11,12,24,30,34,39,40,47,88,
95,108,273,278,526],[1,2,3,5,7,8,13,15,24,31,43,89,95,109,270,527],[1,2,3,5,8,
10,12,13,15,24,33,35,42,43,48,92,95,110,269,277,528],[1,2,3,4,6,8,9,11,23,28,
40,90,94,107,276,529],[1,2,3,4,7,8,13,15,23,31,43,85,93,109,272,530],[1,2,3,4,
7,10,11,14,23,36,37,38,91,93,111,265,266,531],[1,2,3,4,6,7,10,12,15,23,27,32,
41,45,84,93,113,263,267,532],[1,2,3,4,6,7,10,11,12,23,26,36,41,44,83,94,114,
264,271,533],[1,2,3,4,6,10,14,15,23,32,37,46,91,94,112,265,268,534],[1,2,5,7,
17,66,89,137,535],[1,2,5,6,17,73,86,136,536],[1,2,3,4,6,11,17,21,23,27,28,55,
73,84,98,208,253,263,537],[1,2,3,4,6,9,10,11,12,15,16,17,21,23,45,47,51,55,56,
62,76,84,98,215,248,253,267,538],[1,2,3,4,9,10,11,14,18,21,23,37,39,61,70,91,
98,217,251,265,539],[1,2,3,4,8,9,11,14,18,21,23,38,40,60,61,71,91,98,218,250,
251,266,540],[1,2,3,4,6,7,10,12,16,20,21,23,27,41,49,51,67,84,100,207,246,248,
263,541],[1,2,3,4,7,10,11,16,21,23,26,36,50,72,83,98,206,249,264,542],[1,2,3,
4,6,10,15,16,21,23,27,32,51,67,84,99,185,248,263,543],[1,2,3,4,10,13,14,15,18,
21,23,37,42,63,70,91,99,220,255,265,544],[1,2,3,4,8,13,14,15,18,21,23,43,46,
60,63,75,91,99,222,250,255,268,545],[1,2,3,4,6,7,10,12,16,20,21,23,26,41,49,
50,72,83,100,205,247,249,264,546],[1,2,3,4,7,15,17,21,23,26,31,58,66,83,99,
201,254,264,547],[1,2,3,4,7,10,11,12,13,15,16,17,21,23,44,48,50,53,58,62,76,
83,99,212,249,254,271,548],[1,2,3,4,8,10,12,14,18,20,21,23,29,37,59,60,70,91,
100,195,250,252,265,549],[1,2,3,4,9,11,12,14,18,20,21,23,30,38,59,61,71,91,
100,196,251,252,266,550],[1,2,3,4,6,7,11,12,15,16,17,20,21,23,44,45,49,55,58,
62,76,84,100,223,246,253,267,551],[1,2,3,4,8,13,14,15,18,21,23,43,46,60,63,75,
85,99,222,258,272,552],[1,2,3,5,8,10,12,14,18,22,24,29,37,59,60,70,87,101,195,
257,274,553],[1,2,3,5,9,11,12,14,18,22,24,30,38,59,61,71,88,101,196,256,273,
554],[1,2,3,5,6,11,14,17,22,24,28,38,54,55,69,86,101,197,261,275,555],[1,2,3,
4,12,13,14,15,18,20,21,23,33,46,59,63,75,91,100,188,252,255,268,556],[1,2,3,4,
6,7,11,12,15,16,17,20,21,23,44,45,49,55,58,62,76,83,100,223,247,254,271,557],[
1,2,3,4,8,9,11,14,18,21,23,38,40,60,61,71,90,98,218,260,276,558],[1,2,3,5,12,
13,14,15,18,22,24,33,46,59,63,75,92,101,188,262,269,559],[1,2,3,5,7,14,15,17,
22,24,31,46,57,58,74,89,101,187,259,270,560],[1,2,4,6,16,23,27,67,84,102,122,
263,561],[1,2,4,7,16,23,26,72,83,102,123,264,562],[1,2,3,4,10,14,16,23,37,64,
65,91,102,126,265,563],[1,2,4,6,17,23,27,73,84,96,165,263,564],[1,2,4,7,17,23,
26,66,83,96,170,264,565],[1,2,3,4,10,14,17,18,23,37,68,70,91,96,182,265,566],[
1,2,3,5,7,15,18,24,31,75,89,97,180,270,567],[1,2,3,5,12,13,15,17,18,24,33,74,
75,92,97,181,269,568],[1,2,3,5,9,11,12,17,18,24,30,69,71,88,97,162,273,569],[
1,2,3,5,6,11,18,24,28,71,86,97,161,275,570],[1,2,3,4,8,13,15,17,18,23,43,74,
75,85,96,184,272,571],[1,2,3,4,8,9,11,17,18,23,40,69,71,90,96,179,276,572],[1,
2,3,5,8,10,12,16,18,24,29,65,70,87,97,157,274,573],[1,2,3,4,11,17,21,23,54,77,
80,98,236,281,574],[1,2,3,4,15,17,21,23,57,78,80,99,235,282,575],[1,2,4,7,17,
23,66,78,93,149,282,576],[1,2,4,6,17,23,73,77,94,150,281,577],[1,2,4,7,16,23,
72,79,93,148,283,578],[1,2,4,6,16,23,67,79,94,147,283,579],[1,2,4,17,23,77,78,
80,96,238,282,580],[1,2,4,17,23,77,78,80,96,238,281,581],[1,2,3,4,10,16,23,52,
65,79,102,224,283,582],[1,2,3,4,6,7,11,12,15,16,17,20,21,23,44,45,49,55,58,62,
76,93,94,96,98,99,100,102,223,279,280,284,285,287,288,289,583],[1,2,6,25,27,
584],[1,2,7,25,26,585],[1,3,13,25,35,586],[1,3,9,25,34,587],[1,3,5,8,19,22,82,
87,588],[1,3,5,9,19,22,82,88,589],[1,3,5,13,19,22,82,92,590],[1,3,4,14,19,21,
82,91,591],[1,3,5,18,19,24,82,97,104,242,290,592],[1,4,5,25,81,243,244,245,
593],[1,2,3,6,7,8,10,12,13,15,27,29,31,32,33,35,41,42,43,45,48,109,110,113,
115,116,117,121,311,313,594],[1,2,3,6,7,8,9,10,11,12,26,28,29,30,34,36,39,40,
41,44,47,107,108,114,115,118,119,120,310,312,595],[1,2,3,7,8,13,15,17,26,31,
43,58,66,78,105,109,137,149,158,170,201,314,325,400,596],[1,2,3,7,8,10,11,13,
14,15,16,17,31,36,37,38,43,56,62,66,72,78,79,109,111,140,148,149,155,163,171,
173,190,210,316,341,399,401,597],[1,2,3,6,8,9,11,17,27,28,40,55,73,77,106,107,
136,150,160,165,208,318,326,398,598],[1,2,3,6,8,9,10,11,14,15,16,17,28,32,37,
40,46,53,62,67,73,77,79,107,112,138,147,150,154,166,168,172,191,214,319,338,
397,402,599],[1,2,3,6,7,8,10,12,13,15,16,27,29,31,32,33,41,42,43,45,48,67,113,
115,116,117,121,122,166,167,311,371,600],[1,2,3,6,7,8,9,10,11,12,16,26,28,29,
30,36,39,40,41,44,47,72,114,115,118,119,120,123,159,171,310,366,601],[1,2,3,6,
7,8,9,10,11,12,18,26,28,29,30,36,39,40,41,44,47,70,71,114,115,118,119,120,128,
156,161,176,178,310,364,380,602],[1,2,3,6,7,8,9,10,11,12,17,18,26,28,29,30,36,
39,40,41,44,47,66,69,70,71,114,115,118,119,120,127,128,153,156,162,170,176,
179,310,362,364,381,603],[1,2,3,6,7,8,9,10,11,12,16,17,18,28,29,30,34,36,39,
40,41,44,47,65,66,69,70,71,72,107,108,118,119,120,125,127,128,157,161,162,164,
173,177,178,179,312,363,365,380,381,604],[1,2,3,6,7,8,10,12,13,15,18,27,29,31,
32,33,41,42,43,45,48,70,75,113,115,116,117,121,130,156,174,180,183,311,369,
382,605],[1,2,3,6,7,8,10,12,13,15,17,18,27,29,31,32,33,41,42,43,45,48,70,73,
74,75,113,115,116,117,121,129,130,152,156,165,174,181,184,311,367,369,383,
606],[1,2,3,6,7,8,10,12,13,15,16,17,18,29,31,32,33,35,41,42,43,45,48,65,67,70,
73,74,75,109,110,116,117,121,124,129,130,157,169,172,175,180,181,183,184,313,
368,370,382,383,607],[1,2,3,6,7,9,10,11,12,14,15,17,27,28,32,36,37,38,39,41,
45,47,53,54,55,66,68,69,73,78,111,113,118,127,131,149,189,191,192,197,208,211,
219,228,231,295,306,386,390,425,608],[1,2,3,6,7,10,11,12,14,15,16,26,27,32,36,
37,41,44,45,46,49,50,51,52,64,65,67,72,79,106,112,113,114,122,124,133,147,185,
200,202,203,204,205,207,209,227,229,292,300,302,387,389,424,609],[1,2,3,6,7,
10,11,12,14,15,16,26,27,32,36,37,38,41,44,45,49,50,51,52,64,65,67,72,79,105,
111,113,114,123,125,133,148,200,202,203,204,205,206,207,216,225,227,293,301,
302,387,391,427,610],[1,2,3,6,7,10,11,12,13,14,15,17,26,31,32,36,37,41,42,44,
46,48,56,57,58,66,68,73,74,77,112,114,116,129,131,150,186,187,190,193,201,213,
221,226,230,294,304,385,388,426,611],[1,2,3,6,7,10,11,12,14,15,16,26,27,32,36,
37,38,41,44,45,46,49,50,51,52,64,65,67,72,79,111,112,113,114,124,125,126,133,
151,185,199,200,202,203,204,205,206,207,209,216,224,225,227,229,300,301,302,
303,389,391,392,428,429,612],[1,2,3,6,7,8,10,12,13,15,16,27,29,31,32,33,41,42,
43,45,48,49,51,67,106,113,115,116,117,121,122,166,167,185,207,292,311,324,327,
371,613],[1,2,3,6,7,8,9,10,11,12,16,26,28,29,30,36,39,40,41,44,47,49,50,72,
105,114,115,118,119,120,123,159,171,205,206,293,310,323,346,366,614],[1,2,3,6,
7,8,10,12,13,14,15,16,17,27,29,31,32,33,37,41,42,43,45,46,48,50,51,52,56,57,
58,65,67,73,74,112,113,115,116,117,121,124,129,152,165,169,172,185,186,187,
202,204,209,213,221,300,304,311,330,337,351,367,368,615],[1,2,3,6,7,8,10,12,
13,14,15,16,18,27,29,31,32,33,37,41,42,43,45,46,48,50,51,52,59,60,63,65,67,70,
75,112,113,115,116,117,121,124,130,156,157,174,175,185,188,195,202,204,209,
220,222,300,305,311,336,339,340,369,370,616],[1,2,3,6,7,8,9,10,11,12,14,16,17,
26,28,29,30,36,37,38,39,40,41,44,47,50,51,52,53,54,55,65,66,69,72,111,114,115,
118,119,120,125,127,153,164,170,173,189,197,200,204,206,211,216,219,301,306,
310,329,342,350,362,363,617],[1,2,3,6,7,8,9,10,11,12,14,16,18,26,28,29,30,36,
37,38,39,40,41,44,47,50,51,52,59,60,61,65,70,71,72,111,114,115,118,119,120,
125,128,156,157,176,177,195,196,200,204,206,216,217,218,301,307,310,336,343,
344,364,365,618],[1,2,3,6,7,8,9,10,11,12,15,16,17,26,27,28,29,30,32,36,39,40,
41,44,45,47,49,50,51,52,55,56,58,62,64,67,72,73,76,113,114,115,118,119,120,
133,134,152,154,167,168,169,200,202,203,205,207,208,213,214,215,223,302,309,
310,324,330,331,332,334,347,373,374,619],[1,2,3,6,7,8,10,11,12,13,15,16,17,26,
27,29,31,32,33,36,41,42,43,44,45,48,49,50,51,52,53,55,58,62,64,66,67,72,76,
113,114,115,116,117,121,133,135,153,155,159,163,164,200,201,202,203,205,207,
210,211,212,223,302,308,311,323,328,329,333,335,345,372,375,620],[1,2,3,6,7,8,
9,10,11,12,13,15,16,17,28,29,30,31,32,34,36,39,40,41,42,44,47,48,50,52,53,56,
58,62,64,67,72,73,76,107,108,116,118,119,120,133,134,154,160,167,168,169,191,
194,198,202,210,212,213,214,296,297,312,319,321,332,334,374,376,621],[1,2,3,6,
7,8,9,10,11,12,13,15,16,17,26,28,29,30,31,32,36,39,40,41,42,44,47,48,50,52,53,
56,58,62,66,67,68,73,76,114,115,116,118,119,120,131,134,152,154,160,167,169,
190,191,193,198,201,202,212,213,214,294,297,310,320,321,330,334,373,377,622],[
1,2,3,6,7,8,9,10,11,12,15,16,17,27,28,29,30,32,34,36,39,40,41,44,45,47,49,51,
53,55,56,58,62,66,67,68,73,76,107,108,113,118,119,120,131,134,152,154,160,168,
169,191,192,207,208,211,213,214,215,223,295,309,312,318,319,320,321,331,347,
376,377,623],[1,2,3,6,7,8,9,10,11,12,13,15,16,17,27,28,29,31,32,33,36,39,41,
42,43,45,47,48,51,52,53,55,56,62,66,68,72,73,76,113,115,116,117,118,121,131,
135,153,155,158,159,164,190,191,192,198,200,208,210,211,215,295,298,311,315,
317,329,335,372,379,624],[1,2,3,6,7,8,9,10,11,12,13,15,16,17,28,29,31,32,33,
35,36,39,41,42,43,45,47,48,51,52,53,55,56,62,64,66,67,72,76,109,110,116,117,
118,121,133,135,155,158,159,163,164,190,194,198,200,210,211,214,215,296,298,
313,316,317,333,335,375,378,625],[1,2,3,6,7,8,10,11,12,13,15,16,17,26,29,31,
32,33,35,36,41,42,43,44,45,48,49,50,53,55,56,58,62,66,68,72,73,76,109,110,114,
116,117,121,131,135,153,155,158,163,164,190,193,201,205,210,211,212,213,223,
294,308,313,314,315,316,317,328,345,378,379,626],[1,2,3,6,7,8,10,12,13,14,15,
17,18,29,31,32,33,35,37,41,42,43,45,46,48,56,57,58,59,60,63,70,73,74,75,109,
110,112,116,117,121,129,130,180,181,183,184,186,187,188,195,213,220,221,222,
304,305,313,354,355,356,382,383,627],[1,2,3,6,7,8,9,10,11,12,14,17,18,28,29,
30,34,36,37,38,39,40,41,44,47,53,54,55,59,60,61,66,69,70,71,107,108,111,118,
119,120,127,128,161,162,178,179,189,195,196,197,211,217,218,219,306,307,312,
322,352,353,380,381,628],[1,2,3,6,7,10,12,15,16,17,27,32,41,45,66,72,76,78,79,
113,135,141,143,148,149,153,159,164,372,461,462,629],[1,2,3,6,7,10,11,12,16,
17,26,36,41,44,67,73,76,77,79,114,134,139,142,147,150,152,167,169,373,460,463,
630],[1,2,3,6,8,9,10,11,15,16,17,28,32,40,53,57,62,65,67,73,107,124,136,139,
154,166,168,186,191,214,319,357,393,412,471,631],[1,2,3,6,8,9,10,11,15,16,17,
27,28,32,40,51,53,55,57,62,67,73,74,107,122,129,138,139,142,154,160,165,168,
172,185,186,191,208,214,318,319,360,394,411,418,470,478,480,632],[1,2,3,7,8,
10,11,13,15,16,17,31,36,43,54,56,62,65,66,72,109,125,137,141,155,163,171,189,
190,210,316,358,395,404,474,633],[1,2,3,7,8,10,11,13,15,16,17,26,31,36,43,50,
54,56,58,62,66,69,72,109,123,127,140,141,143,155,158,163,170,173,189,190,201,
206,210,314,316,359,396,407,417,473,475,477,634],[1,2,3,6,7,8,10,12,16,17,29,
41,64,66,67,68,72,73,76,115,131,132,133,134,135,384,431,635],[1,2,3,6,7,8,9,
10,11,12,16,17,26,28,29,30,36,39,40,41,44,47,64,66,67,68,72,73,76,114,115,118,
119,120,131,132,133,134,135,152,154,160,167,168,169,310,373,374,376,377,384,
636],[1,2,3,6,7,8,10,12,13,15,16,17,27,29,31,32,33,41,42,43,45,48,64,66,67,68,
72,73,76,113,115,116,117,121,131,132,133,134,135,153,155,158,159,163,164,311,
372,375,378,379,384,637],[1,2,3,6,7,10,11,12,13,15,16,17,26,31,32,36,41,42,44,
48,49,50,56,58,66,68,69,72,73,105,114,116,123,127,131,143,153,155,170,190,193,
201,205,206,213,293,294,325,328,362,405,407,473,638],[1,2,3,6,7,10,11,12,13,
14,15,16,17,26,31,32,36,37,38,41,42,44,48,50,51,52,56,58,62,65,66,68,72,73,
111,114,116,123,125,131,141,159,163,171,173,190,193,200,201,204,206,210,213,
216,294,301,333,341,366,404,406,475,639],[1,2,3,6,7,9,10,11,12,15,16,17,26,27,
28,32,36,39,41,44,45,47,49,50,51,52,53,54,55,64,66,67,68,72,73,76,113,114,118,
131,133,135,141,143,153,159,164,170,171,173,189,191,192,200,202,203,205,206,
207,208,211,295,302,342,346,350,372,405,406,408,472,476,640],[1,2,3,6,7,9,10,
11,12,14,15,16,17,27,28,32,36,37,39,41,45,46,47,50,51,52,53,55,62,65,66,67,68,
73,112,113,118,122,124,131,139,166,167,168,172,185,191,192,202,204,208,209,
211,214,295,300,332,338,371,410,412,480,641],[1,2,3,6,7,9,10,11,12,15,16,17,
27,28,32,36,39,41,45,47,49,51,53,55,66,67,68,73,74,106,113,118,122,129,131,
142,152,154,165,185,191,192,207,208,211,292,295,326,331,367,409,411,470,642],[
1,2,3,6,7,10,11,12,13,15,16,17,26,27,31,32,36,41,42,44,45,48,49,50,51,52,56,
57,58,64,66,67,68,72,73,76,113,114,116,131,133,134,139,142,152,165,166,167,
169,172,185,186,190,193,200,201,202,203,205,207,213,294,302,327,337,351,373,
409,410,413,469,479,643],[1,2,3,6,7,9,10,11,12,13,14,15,16,17,28,31,32,36,37,
38,39,41,42,47,48,53,54,55,56,62,64,65,66,67,69,72,111,116,118,125,127,133,
141,143,155,158,164,171,173,189,190,194,197,210,211,214,219,296,306,317,341,
363,408,417,474,477,644],[1,2,3,6,7,9,10,11,12,13,14,15,16,17,28,31,32,36,37,
39,41,42,46,47,48,53,56,57,58,62,64,65,67,72,73,74,112,116,118,124,129,133,
139,142,154,160,166,169,172,186,187,191,194,210,213,214,221,296,304,321,338,
368,413,418,471,478,645],[1,2,3,6,7,9,10,11,12,14,15,16,17,18,27,28,32,36,37,
39,41,45,46,47,50,51,52,53,55,61,65,66,67,68,70,73,75,112,113,118,124,130,131,
146,156,174,177,182,185,191,192,202,204,208,209,211,217,295,300,343,349,369,
415,416,482,646],[1,2,3,6,7,10,11,12,13,14,15,16,17,18,26,31,32,36,37,38,41,
42,44,48,50,51,52,56,58,63,65,66,68,70,71,72,73,111,114,116,125,128,131,146,
156,175,176,182,190,193,200,201,204,206,213,216,220,294,301,339,348,364,414,
415,483,647],[1,2,3,6,7,10,11,12,13,15,17,18,26,31,32,36,41,42,44,48,56,58,66,
68,70,71,73,114,116,128,131,156,176,190,193,201,213,294,364,445,648],[1,2,3,6,
7,10,11,12,13,15,17,26,31,32,36,41,42,44,48,56,58,66,68,69,73,114,116,127,131,
153,170,190,193,201,213,294,362,450,649],[1,2,3,6,7,9,10,11,12,15,17,27,28,32,
36,39,41,45,47,53,55,66,68,73,74,113,118,129,131,152,165,191,192,208,211,295,
367,435,650],[1,2,3,6,7,9,10,11,12,15,17,18,27,28,32,36,39,41,45,47,53,55,66,
68,70,73,75,113,118,130,131,156,174,191,192,208,211,295,369,446,651],[1,2,3,6,
7,10,12,14,15,16,17,18,27,32,37,41,45,46,50,51,52,65,66,67,70,72,75,76,112,
113,124,130,135,153,156,159,164,174,185,202,204,209,300,369,372,444,448,652],[
1,2,3,6,7,10,12,14,15,16,17,27,32,37,41,45,46,50,51,52,65,66,67,72,73,74,76,
112,113,124,129,135,152,153,159,164,165,185,202,204,209,300,367,372,443,449,
653],[1,2,3,6,7,10,11,12,15,16,17,18,26,27,32,36,41,44,45,49,50,51,52,64,66,
67,69,70,71,72,113,114,127,128,133,153,156,170,176,200,202,203,205,207,302,
362,364,434,448,654],[1,2,3,6,7,10,11,12,14,16,17,26,36,37,38,41,44,50,51,52,
65,66,67,69,72,73,76,111,114,125,127,134,152,153,167,169,170,200,204,206,216,
301,362,373,433,449,655],[1,2,3,6,7,10,11,12,14,16,17,18,26,36,37,38,41,44,50,
51,52,65,67,70,71,72,73,76,111,114,125,128,134,152,156,167,169,176,200,204,
206,216,301,364,373,432,447,656],[1,2,3,6,7,10,11,12,15,16,17,18,26,27,32,36,
41,44,45,49,50,51,52,64,67,70,72,73,74,75,113,114,129,130,133,152,156,165,174,
200,202,203,205,207,302,367,369,442,447,657],[1,2,3,6,7,9,10,11,12,15,17,18,
27,28,32,36,39,41,45,47,53,55,66,68,70,71,73,113,118,128,131,161,178,191,192,
208,211,295,380,454,456,658],[1,2,3,6,7,9,10,11,12,13,15,16,18,28,31,32,36,39,
41,42,47,48,62,64,67,70,71,72,116,118,128,133,161,178,194,210,214,296,380,458,
659],[1,2,3,6,7,9,10,11,12,14,16,17,18,28,36,37,38,39,41,47,53,54,55,66,67,69,
70,71,73,76,111,118,127,128,134,154,160,161,168,178,189,197,211,219,306,376,
380,455,457,660],[1,2,3,6,7,10,11,12,13,15,16,17,18,26,31,32,36,41,42,44,48,
56,58,66,68,70,71,72,73,114,116,123,128,131,156,159,171,176,190,193,201,213,
294,364,366,459,661],[1,2,3,6,7,10,11,12,14,16,17,26,36,37,38,41,44,50,51,52,
65,67,72,73,76,111,114,123,125,134,152,159,167,169,171,200,204,206,216,301,
366,373,441,443,662],[1,2,3,6,7,10,11,12,15,16,18,26,27,32,36,41,44,45,49,50,
51,52,64,67,70,71,72,113,114,123,128,133,156,159,171,176,200,202,203,205,207,
302,364,366,439,444,663],[1,2,3,6,7,10,11,12,16,17,18,26,36,41,44,49,50,67,70,
71,72,73,76,105,114,123,128,134,152,156,167,169,176,205,206,293,364,373,440,
442,664],[1,2,3,6,7,10,12,14,15,16,17,27,32,37,41,45,46,50,51,52,65,66,67,72,
76,112,113,122,124,135,153,159,164,166,167,185,202,204,209,300,371,372,433,
441,665],[1,2,3,6,7,10,11,12,15,16,18,26,27,32,36,41,44,45,49,50,51,52,64,67,
70,72,75,113,114,122,130,133,156,166,167,174,200,202,203,205,207,302,369,371,
432,440,666],[1,2,3,6,7,10,12,15,16,17,18,27,32,41,45,49,51,66,67,70,72,75,76,
106,113,122,130,135,153,156,159,164,174,185,207,292,369,372,434,439,667],[1,2,
3,6,7,9,10,11,12,15,16,17,18,27,28,32,36,39,41,45,47,53,55,66,67,68,70,73,75,
113,118,122,130,131,156,166,167,174,191,192,208,211,295,369,371,437,668],[1,2,
3,6,7,9,10,11,12,13,15,16,18,28,31,32,36,39,41,42,47,48,62,64,67,70,72,75,116,
118,130,133,180,183,194,210,214,296,382,453,669],[1,2,3,6,7,10,11,12,13,15,17,
18,26,31,32,36,41,42,44,48,56,58,66,68,70,73,75,114,116,130,131,180,183,190,
193,201,213,294,382,436,451,670],[1,2,3,6,7,10,12,13,14,15,16,17,18,31,32,37,
41,42,46,48,56,57,58,66,70,72,73,74,75,76,112,116,129,130,135,155,158,163,180,
183,186,187,213,221,304,378,382,438,452,671],[1,2,3,6,7,10,11,12,13,15,16,17,
26,31,32,36,41,42,44,48,56,58,65,66,67,68,73,74,76,114,116,124,129,131,134,
136,138,142,152,167,169,172,190,193,201,213,294,368,373,421,488,490,672],[1,2,
3,6,7,10,11,12,15,16,17,26,27,32,36,41,44,45,49,50,51,52,64,66,67,69,72,76,
113,114,123,127,133,135,140,141,153,159,164,170,171,200,202,203,205,207,302,
362,366,372,422,487,489,673],[1,2,3,6,7,10,11,12,15,16,18,26,27,32,36,41,44,
45,49,50,51,52,64,67,70,71,72,75,113,114,128,130,133,144,145,156,174,176,200,
202,203,205,207,302,364,369,423,493,674],[1,2,3,6,7,10,11,12,15,16,17,26,27,
32,36,41,44,45,49,50,51,52,64,67,72,73,74,76,113,114,122,129,133,134,138,139,
152,165,166,167,169,200,202,203,205,207,302,367,371,373,420,491,492,675],[1,2,
3,6,7,9,10,11,12,15,16,17,27,28,32,36,39,41,45,47,53,55,65,66,68,69,72,73,76,
113,118,125,127,131,135,137,140,143,153,159,164,173,191,192,208,211,295,363,
372,419,485,486,676],[1,2,3,6,7,8,9,10,11,12,13,15,16,17,26,27,28,29,30,31,32,
33,36,39,40,41,42,43,44,45,47,48,49,50,51,52,53,55,56,58,62,64,66,67,68,72,73,
76,113,114,115,116,117,118,119,120,121,131,132,133,134,135,190,191,192,193,
194,198,200,201,202,203,205,207,208,210,211,212,213,214,215,223,294,295,296,
297,298,299,302,308,309,310,311,384,677],[1,2,3,6,11,14,17,27,28,38,54,55,69,
73,78,106,165,197,208,228,326,386,435,678],[1,2,3,6,7,10,12,13,14,15,16,17,18,
26,31,33,41,45,46,48,49,50,57,58,59,63,66,72,74,75,77,121,163,164,180,181,187,
188,201,205,230,345,356,385,436,438,679],[1,2,3,7,14,15,17,26,31,46,57,58,66,
74,77,105,170,187,201,230,325,385,450,680],[1,2,3,6,7,10,11,12,13,14,15,16,17,
18,31,32,36,37,41,42,48,50,51,52,57,62,63,64,65,67,70,72,73,79,116,152,156,
159,163,172,175,186,199,200,202,204,209,210,216,220,224,225,229,333,337,339,
392,443,444,447,681],[1,2,3,6,7,8,10,11,12,14,15,16,17,18,29,32,36,37,41,50,
51,52,53,55,56,58,59,60,64,65,66,67,70,72,73,79,115,152,153,156,157,164,169,
195,199,200,202,204,209,211,213,216,224,225,229,329,330,336,392,447,448,449,
682],[1,2,3,6,7,9,10,11,12,14,15,16,17,18,28,32,36,37,39,41,47,50,51,52,54,61,
62,64,65,66,67,70,72,79,118,153,156,167,168,173,177,189,199,200,202,204,209,
214,216,217,224,225,229,332,342,343,392,432,433,448,683],[1,2,3,6,7,10,11,12,
13,14,15,16,17,18,26,31,32,36,37,41,42,48,49,50,51,52,57,58,63,64,65,66,67,70,
72,73,79,116,152,153,155,156,172,175,186,201,202,203,204,205,206,216,220,225,
227,328,337,339,391,442,448,449,684],[1,2,3,6,7,9,10,11,12,14,15,16,17,18,27,
28,32,36,37,39,41,47,49,50,51,52,54,55,61,64,65,66,67,70,72,73,79,118,152,153,
154,156,173,177,185,189,200,203,204,207,208,209,217,227,229,331,342,343,389,
434,447,449,685],[1,2,3,6,7,8,10,11,12,14,15,16,17,18,26,29,32,36,37,41,49,50,
51,52,56,58,59,60,64,65,67,70,72,73,79,115,152,156,157,159,169,195,202,203,
204,205,206,213,216,225,227,323,330,336,391,442,443,444,686],[1,2,3,6,7,9,10,
11,12,14,16,17,18,26,27,28,36,37,39,41,47,49,50,51,55,61,65,67,70,72,73,79,
118,152,154,156,159,171,177,204,205,206,207,208,217,227,331,343,346,387,439,
442,443,687],[1,2,3,6,7,9,10,11,12,14,15,16,18,26,28,32,36,37,39,41,47,49,50,
51,52,61,62,64,65,67,70,72,79,118,156,159,167,168,171,177,202,203,204,205,206,
214,216,217,225,227,332,343,346,391,440,441,444,688],[1,2,3,6,7,8,10,12,14,16,
18,26,27,29,37,41,49,50,51,59,60,65,67,70,72,79,115,156,157,159,167,195,204,
205,207,227,323,324,336,387,439,440,441,689],[1,2,3,6,7,10,12,13,14,15,16,17,
18,26,27,31,32,37,41,42,48,49,50,51,58,63,65,66,67,70,72,79,116,153,155,156,
166,167,175,185,201,204,205,207,220,227,327,328,339,387,433,434,440,690],[1,2,
3,6,7,10,11,12,13,14,15,16,18,27,31,32,36,37,41,42,48,49,50,51,52,62,63,64,65,
67,70,72,79,116,156,159,163,166,167,175,185,200,203,204,207,209,210,220,227,
229,327,333,339,389,432,439,441,691],[1,2,3,6,7,8,10,11,12,14,15,16,17,18,27,
29,32,36,37,41,49,50,51,52,53,55,59,60,64,65,66,67,70,72,79,115,153,156,157,
164,167,185,195,200,203,204,207,209,211,227,229,324,329,336,389,432,433,434,
692],[1,2,3,7,10,11,13,14,15,16,17,18,31,36,37,38,42,46,56,57,58,62,63,66,68,
70,72,74,77,111,171,173,176,182,187,190,193,210,220,221,226,230,341,348,388,
445,459,693],[1,2,3,6,7,10,11,12,13,14,15,17,18,31,33,36,41,42,45,46,48,53,55,
56,57,58,59,63,66,68,74,75,77,121,153,158,180,181,187,188,190,193,211,221,226,
230,315,356,388,451,452,694],[1,2,3,7,8,10,11,13,14,15,16,17,18,31,36,42,43,
46,56,57,58,60,62,63,66,68,72,74,75,77,109,155,163,180,184,187,190,193,210,
221,222,226,230,316,354,388,438,451,695],[1,2,3,7,8,13,14,15,17,18,26,31,43,
46,57,58,60,63,66,74,75,77,109,158,180,184,187,201,222,230,314,354,385,436,
452,696],[1,2,3,6,9,10,11,14,15,16,17,18,28,32,37,38,39,46,53,54,55,61,62,67,
68,69,70,73,78,112,166,172,174,182,191,192,197,214,217,219,228,231,338,349,
390,437,446,697],[1,2,3,6,7,9,10,11,12,14,15,17,18,28,30,32,38,39,41,44,47,53,
54,55,56,58,59,61,68,69,71,73,78,120,152,160,161,162,191,192,196,197,213,219,
228,231,320,322,390,456,457,698],[1,2,3,6,8,9,11,14,17,18,27,28,38,40,54,55,
60,61,69,71,73,78,107,160,161,179,197,208,218,228,318,352,386,454,457,699],[1,
2,3,6,8,9,10,11,14,15,16,17,18,28,32,38,39,40,53,54,55,60,61,62,67,68,69,71,
73,78,107,154,161,168,179,191,192,197,214,218,219,228,231,319,352,390,455,456,
700],[1,2,3,6,7,9,10,11,12,14,16,17,18,27,28,30,38,41,44,47,49,51,54,55,59,61,
67,69,71,73,78,120,161,162,168,169,196,197,207,208,228,322,347,386,454,455,
701],[1,2,3,7,14,15,16,17,26,31,46,57,58,66,72,74,77,123,143,155,170,187,201,
230,385,407,450,702],[1,2,3,7,10,11,13,14,15,16,17,18,31,36,42,46,56,57,58,65,
66,68,70,72,74,77,125,141,146,163,171,175,176,187,190,193,221,226,230,388,404,
414,445,459,703],[1,2,3,6,11,14,16,17,27,28,38,54,55,67,69,73,78,122,142,154,
165,197,208,228,386,411,435,704],[1,2,3,6,9,10,11,14,15,16,17,18,28,32,38,39,
53,54,55,65,67,68,69,70,73,78,124,139,146,166,168,174,177,191,192,197,219,228,
231,390,412,416,437,446,705],[1,2,3,6,7,10,11,12,14,15,16,17,18,32,36,37,41,
50,51,52,64,65,66,67,68,70,72,73,79,131,139,141,146,156,159,167,172,173,182,
199,200,202,204,209,216,224,225,229,392,406,410,415,432,441,444,706],[1,2,3,6,
7,10,12,14,16,17,18,26,27,37,41,49,50,51,65,66,67,68,70,72,73,79,131,142,143,
146,152,153,156,165,170,182,204,205,207,227,387,405,409,415,434,442,449,707],[
1,2,3,6,7,10,11,12,14,15,16,17,18,26,32,36,37,41,49,50,51,52,64,65,66,67,68,
70,72,73,79,131,139,143,146,153,156,167,170,172,182,202,203,204,205,206,216,
225,227,391,405,410,415,433,440,448,708],[1,2,3,6,7,10,11,12,14,15,16,17,18,
27,32,36,37,41,49,50,51,52,64,65,66,67,68,70,72,73,79,131,141,142,146,152,156,
159,165,173,182,185,200,203,204,207,209,227,229,389,406,409,415,439,443,447,
709],[1,2,3,6,7,10,11,12,14,15,16,26,27,32,36,37,41,49,50,51,52,64,65,67,72,
79,122,123,124,125,126,133,147,148,151,185,199,200,202,203,204,205,206,207,
209,216,224,225,227,229,387,389,391,392,424,427,428,429,430,710],[1,2,3,6,7,
10,11,12,16,17,26,36,41,44,66,67,69,72,73,76,114,123,127,134,152,153,159,167,
169,170,171,362,366,373,711],[1,2,3,6,7,10,11,12,16,17,18,26,36,41,44,67,70,
71,72,73,76,114,123,128,134,152,156,159,167,169,171,176,364,366,373,712],[1,2,
3,6,7,10,12,15,16,17,27,32,41,45,66,67,72,73,74,76,113,122,129,135,152,153,
159,164,165,166,167,367,371,372,713],[1,2,3,6,7,10,12,15,16,17,18,27,32,41,45,
66,67,70,72,75,76,113,122,130,135,153,156,159,164,166,167,174,369,371,372,
714],[1,2,3,6,7,10,12,15,16,17,18,27,32,41,45,66,70,72,73,74,75,76,113,129,
130,135,152,153,156,159,164,165,174,367,369,372,715],[1,2,3,6,7,10,12,15,16,
17,18,27,32,41,45,66,70,72,75,76,113,130,135,153,156,159,164,174,369,372,
716],[1,2,3,6,7,10,11,12,16,17,18,26,36,41,44,67,70,71,73,76,114,128,134,152,
156,167,169,176,364,373,717],[1,2,3,6,7,10,11,12,16,17,18,26,36,41,44,66,67,
69,70,71,73,76,114,127,128,134,152,153,156,167,169,170,176,362,364,373,718],[
1,2,3,6,7,9,10,11,12,16,17,18,28,36,39,41,47,65,66,67,69,70,71,72,73,76,118,
125,127,128,134,154,160,161,164,168,173,178,363,376,380,719],[1,2,3,6,7,10,12,
13,15,16,17,18,31,32,41,42,48,65,66,67,70,72,73,74,75,76,116,124,129,130,135,
155,158,163,169,172,180,183,368,378,382,720],[1,2,3,6,7,8,10,12,16,17,29,41,
64,66,67,68,72,73,76,80,115,131,132,133,134,135,232,233,234,384,495,504,721],[
1,2,3,6,7,9,10,11,12,16,17,27,28,30,41,44,47,49,51,55,66,67,68,73,76,77,120,
122,131,134,136,138,139,142,150,152,154,160,165,168,169,207,208,347,377,394,
398,409,411,421,460,492,722],[1,2,3,6,7,9,10,11,12,15,16,17,28,30,32,41,44,47,
53,56,58,64,65,67,72,73,76,77,120,124,133,134,138,139,142,150,152,154,160,166,
167,168,169,172,191,213,320,374,394,397,412,413,420,460,490,723],[1,2,3,6,7,9,
10,11,12,15,16,17,28,30,32,41,44,47,50,52,56,58,62,64,66,67,68,72,73,74,76,79,
120,129,131,133,134,136,138,139,142,147,152,154,160,166,167,168,169,172,202,
213,214,334,374,377,393,394,402,410,413,418,420,421,463,488,491,724],[1,2,3,6,
7,10,12,13,15,16,17,26,31,33,41,45,48,49,50,58,66,68,72,73,76,78,121,123,131,
135,137,140,141,143,149,153,155,158,163,164,170,201,205,345,379,396,400,405,
407,419,461,489,725],[1,2,3,6,7,10,11,12,13,15,16,17,31,33,36,41,45,48,53,55,
56,64,65,66,67,72,76,78,121,125,133,135,140,141,143,149,153,155,158,159,163,
164,171,173,190,211,315,375,396,399,404,408,422,461,486,726],[1,2,3,6,7,10,11,
12,13,15,16,17,31,33,36,41,45,48,51,52,53,55,62,64,66,67,68,69,72,73,76,79,
121,127,131,133,135,137,140,141,143,148,153,155,158,159,163,164,171,173,200,
210,211,335,375,379,395,396,401,406,408,417,419,422,462,485,487,727],[1,2,3,6,
7,10,11,12,13,15,17,26,31,32,36,41,42,44,48,56,58,66,68,73,80,114,116,131,190,
193,201,213,232,233,234,294,465,468,495,728],[1,2,3,6,7,9,10,11,12,15,17,27,
28,32,36,39,41,45,47,53,55,66,68,73,80,113,118,131,191,192,208,211,232,233,
234,295,466,467,495,729],[1,2,3,6,7,8,10,11,12,16,17,26,29,36,41,49,50,51,52,
53,55,64,65,66,67,68,72,73,76,79,115,123,125,131,132,133,134,135,140,141,143,
148,153,159,164,170,173,200,205,206,211,225,227,323,329,384,405,406,422,427,
462,476,486,489,730],[1,2,3,6,7,8,10,12,15,16,17,29,32,41,50,52,56,57,58,64,
66,67,68,72,73,74,76,77,115,129,131,132,133,134,135,136,138,139,142,150,152,
166,169,172,186,202,213,226,230,330,384,413,421,426,460,469,488,491,731],[1,2,
3,6,7,8,10,12,15,16,17,27,29,32,41,49,50,51,52,56,58,64,65,66,67,68,72,73,76,
79,115,122,124,131,132,133,134,135,138,139,142,147,152,165,167,169,172,185,
202,207,213,227,229,324,330,384,409,410,420,424,463,479,490,492,732],[1,2,3,6,
7,8,10,11,12,16,17,29,36,41,51,52,53,54,55,64,66,67,68,69,72,73,76,78,115,127,
131,132,133,134,135,137,140,141,143,149,153,164,171,173,189,200,211,228,231,
329,384,408,419,425,461,472,485,487,733],[1,2,3,6,7,8,10,12,14,16,17,18,29,37,
41,50,51,52,59,60,64,65,66,67,68,70,72,73,76,79,115,126,131,132,133,134,135,
144,145,146,151,156,157,182,195,199,204,225,229,336,384,415,423,428,464,481,
494,734],[1,2,3,6,7,9,10,11,12,13,14,15,16,17,28,31,33,36,37,38,39,41,45,47,
48,51,52,53,54,55,56,62,66,69,72,76,111,118,121,127,135,137,143,153,158,171,
173,189,190,197,198,200,210,211,215,219,298,306,315,341,342,358,472,477,485,
735],[1,2,3,6,7,9,10,11,12,15,16,17,27,28,30,32,41,44,45,47,49,51,55,56,57,58,
62,67,73,76,106,113,120,122,134,138,139,165,168,169,172,185,186,207,208,213,
214,215,223,292,309,326,347,351,360,479,480,492,736],[1,2,3,6,7,9,10,11,12,13,
14,15,16,17,28,30,31,32,37,41,42,44,46,47,48,50,52,53,56,57,58,62,67,73,74,76,
112,116,120,129,134,136,142,152,160,166,172,186,187,191,198,202,212,213,214,
221,297,304,320,337,338,357,469,478,488,737],[1,2,3,6,7,10,11,12,13,15,16,17,
26,31,33,36,41,44,45,48,49,50,53,54,55,58,62,66,72,76,105,114,121,123,135,140,
141,163,164,170,173,189,201,205,206,210,211,212,223,293,308,325,345,350,359,
475,476,489,738],[1,2,3,6,7,9,10,11,12,13,14,15,16,17,27,28,30,31,32,37,41,42,
44,45,46,47,48,49,50,51,52,53,55,56,57,58,62,65,67,73,74,76,112,113,116,120,
124,129,134,138,139,142,154,165,166,167,169,172,185,186,187,191,198,202,204,
207,208,209,212,213,214,215,221,223,297,300,304,309,327,334,338,351,360,469,
470,471,479,490,491,739],[1,2,3,6,7,9,10,11,12,13,14,15,16,17,26,28,31,33,36,
37,38,39,41,44,45,47,48,49,50,51,52,53,54,55,56,58,62,65,66,69,72,76,111,114,
118,121,125,127,135,140,141,143,155,159,164,170,171,173,189,190,197,198,200,
201,204,205,206,210,211,212,215,216,219,223,298,301,306,308,335,341,346,350,
359,472,473,474,476,486,487,740],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,17,18,29,
30,32,33,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,55,56,58,59,60,61,
62,63,64,65,68,70,71,75,76,111,112,117,119,126,128,130,132,144,145,146,157,
174,175,176,177,182,188,192,193,194,195,196,198,199,203,209,212,215,216,217,
218,220,222,223,299,303,305,307,340,344,348,349,361,481,482,483,484,493,494,
741],[1,2,3,6,7,9,10,11,12,13,15,16,17,26,28,31,32,36,39,41,42,47,48,49,50,51,
52,54,58,62,64,65,66,67,72,79,116,118,123,125,133,140,141,148,153,155,159,163,
171,173,189,194,200,201,205,206,210,214,225,227,296,328,333,342,346,359,401,
422,427,474,475,742],[1,2,3,6,7,10,11,12,13,15,16,17,26,31,32,36,41,42,44,48,
50,53,54,55,56,58,62,66,68,69,72,73,78,114,116,127,131,137,140,143,149,155,
158,164,170,173,189,190,193,201,206,210,211,213,228,231,294,317,350,358,359,
399,400,419,425,473,477,743],[1,2,3,6,7,9,10,11,12,13,15,16,17,27,28,31,32,36,
39,41,42,47,48,49,50,51,52,55,57,62,64,65,67,72,73,79,116,118,122,124,133,138,
139,147,152,154,166,167,168,172,185,186,194,202,207,208,210,214,227,229,296,
327,331,332,337,360,402,420,424,471,480,744],[1,2,3,6,7,9,10,11,12,15,16,17,
27,28,32,36,39,41,45,47,51,53,55,56,57,58,62,66,67,68,73,74,77,113,118,129,
131,136,138,142,150,154,160,165,169,172,185,186,191,192,208,211,213,214,226,
230,295,321,351,357,360,397,398,421,426,470,478,745],[1,2,3,6,7,9,10,11,12,13,
14,15,16,18,28,31,32,36,37,39,41,42,47,48,50,51,52,61,62,63,64,65,67,70,72,79,
116,118,126,133,144,145,151,156,175,177,194,199,204,210,214,217,220,225,229,
296,339,343,361,403,423,428,484,746],[1,2,3,6,7,9,10,11,12,13,15,16,17,28,31,
33,36,39,41,45,47,48,51,52,53,54,55,56,62,65,66,68,69,72,73,76,78,118,121,125,
127,131,135,140,141,143,149,153,155,158,159,164,171,173,189,190,198,200,210,
211,215,228,231,298,335,342,363,379,399,406,417,425,461,472,474,477,486,487,
747],[1,2,3,6,7,10,11,12,13,15,16,17,26,31,33,36,41,44,45,48,49,50,53,54,55,
56,58,62,66,68,69,72,73,76,78,114,121,127,131,135,137,141,143,149,153,155,158,
164,170,173,189,190,201,205,206,210,211,212,223,228,231,308,315,350,362,379,
400,405,417,425,461,473,476,477,485,748],[1,2,3,6,7,10,11,12,13,15,16,17,26,
31,33,36,41,44,45,48,49,50,51,52,53,54,55,58,62,64,65,66,67,72,76,79,114,121,
123,125,133,135,140,141,143,148,155,159,163,164,170,171,173,189,200,201,205,
206,210,211,212,223,225,227,308,335,350,366,375,401,407,408,427,462,472,474,
475,486,489,749],[1,2,3,6,7,9,10,11,12,13,15,16,17,26,28,31,33,36,39,41,45,47,
48,49,50,51,52,53,55,56,58,62,64,65,66,67,69,72,76,79,118,121,123,125,127,133,
135,140,141,143,148,155,159,163,164,170,171,173,190,198,200,201,205,206,210,
211,215,225,227,298,345,346,363,375,401,404,408,427,462,473,475,476,487,489,
750],[1,2,3,6,7,9,10,11,12,13,15,16,17,27,28,30,31,32,41,42,44,47,48,49,50,51,
52,53,55,56,58,62,64,65,67,72,73,74,76,79,116,120,122,124,129,133,134,138,139,
142,147,154,165,166,167,168,169,172,185,191,198,202,207,208,212,213,214,227,
229,297,327,347,368,374,402,412,413,424,463,470,479,480,491,492,751],[1,2,3,6,
7,9,10,11,12,15,16,17,27,28,30,32,41,44,45,47,49,50,51,52,55,56,57,58,62,64,
65,67,72,73,76,79,113,120,122,124,133,134,138,139,142,147,154,165,166,167,168,
169,172,185,186,202,207,208,213,214,215,223,227,229,309,334,351,371,374,402,
411,413,424,463,469,471,480,490,492,752],[1,2,3,6,7,9,10,11,12,13,15,16,17,28,
30,31,32,41,42,44,47,48,50,52,53,56,57,58,62,65,66,67,68,73,74,76,77,116,120,
124,129,131,134,138,139,142,150,152,154,160,166,167,169,172,186,191,198,202,
212,213,214,226,230,297,334,337,368,377,397,410,418,426,460,469,471,478,490,
491,753],[1,2,3,6,7,9,10,11,12,15,16,17,27,28,30,32,41,44,45,47,49,51,53,55,
56,57,58,62,66,67,68,73,74,76,77,113,120,129,131,134,136,139,142,150,152,154,
160,165,169,172,185,186,191,207,208,213,214,215,223,226,230,309,320,351,367,
377,398,409,418,426,460,470,478,479,488,754],[1,2,3,6,7,8,9,10,11,12,13,14,15,
16,17,18,29,30,32,33,36,37,39,40,42,43,44,45,47,48,49,50,51,52,53,55,56,58,59,
60,61,62,63,64,65,67,68,70,71,72,75,76,79,117,119,124,125,126,128,130,132,144,
145,146,151,157,174,175,176,177,182,192,193,194,195,198,203,209,212,215,216,
217,220,223,224,225,227,229,299,340,344,365,370,403,414,416,429,464,482,483,
484,493,494,755],[1,2,3,6,9,10,11,14,15,16,17,28,32,38,39,53,54,55,67,68,69,
73,77,78,80,138,150,154,172,191,192,197,219,228,231,232,236,238,390,397,467,
497,502,756],[1,2,3,7,10,11,13,14,15,16,17,31,36,42,46,56,57,58,66,68,72,74,
77,78,80,140,149,155,173,187,190,193,221,226,230,234,235,238,388,399,468,496,
503,757],[1,2,3,6,11,14,17,27,28,38,54,55,69,73,77,78,80,136,150,160,165,197,
208,228,232,236,238,386,398,466,497,501,758],[1,2,3,7,14,15,17,26,31,46,57,58,
66,74,77,78,80,137,149,158,170,187,201,230,234,235,238,385,400,465,496,500,
759],[1,2,3,6,7,9,10,11,12,15,16,17,27,28,32,36,39,41,47,49,51,53,55,56,58,62,
67,73,74,76,77,118,122,129,134,136,138,139,142,150,152,154,160,165,168,169,
172,185,191,207,208,213,214,321,331,376,393,394,397,398,411,418,460,470,479,
480,488,492,760],[1,2,3,6,7,9,10,11,12,15,16,17,28,32,36,39,41,47,50,52,53,56,
57,58,62,65,67,73,74,76,79,118,124,129,134,138,139,142,147,154,160,166,167,
168,169,172,186,191,202,213,214,321,332,376,394,402,412,418,463,469,471,478,
490,491,761],[1,2,3,6,7,10,11,12,13,15,16,17,31,32,36,41,42,48,51,52,53,54,55,
56,62,65,66,69,72,76,79,116,125,127,135,140,141,143,148,155,158,159,163,164,
171,173,189,190,200,210,211,317,333,378,396,401,404,417,462,472,474,477,486,
487,762],[1,2,3,6,7,10,11,12,13,15,16,17,26,31,32,36,41,42,48,49,50,53,55,56,
58,62,66,69,72,76,78,116,123,127,135,137,140,141,143,149,153,155,158,163,164,
170,173,190,201,205,206,210,211,317,328,378,395,396,399,400,407,417,461,473,
475,476,485,489,763],[1,2,3,6,10,11,15,16,17,18,28,32,53,67,70,71,73,77,138,
150,154,161,172,174,191,397,446,456,764],[1,2,3,7,15,17,18,26,31,58,66,75,78,
137,149,158,170,180,201,400,436,450,765],[1,2,3,7,10,11,15,16,17,18,31,36,56,
66,70,72,75,78,140,149,155,173,176,180,190,399,445,451,766],[1,2,3,6,11,17,18,
27,28,55,71,73,77,136,150,160,161,165,208,398,435,454,767],[1,2,3,9,10,11,13,
15,16,18,39,42,62,64,65,70,71,75,79,145,151,175,177,178,183,194,403,453,458,
768],[1,2,3,7,8,13,15,17,26,31,43,58,66,80,109,158,170,201,234,314,450,465,
769],[1,2,3,6,8,9,11,17,27,28,40,55,73,80,107,160,165,208,232,318,435,466,
770],[1,2,3,6,10,11,14,15,16,17,18,28,32,37,46,53,62,67,71,73,80,112,161,166,
172,191,214,232,338,456,467,771],[1,2,3,7,8,10,11,13,15,16,17,18,31,36,43,56,
62,66,70,72,80,109,155,163,176,190,210,234,316,445,468,772],[1,2,3,6,7,10,11,
12,13,15,17,18,31,33,36,41,45,48,53,55,56,66,70,80,121,153,158,176,190,211,
234,315,445,468,773],[1,2,3,7,10,11,14,15,16,17,18,31,36,37,38,56,62,66,72,75,
80,111,171,173,180,190,210,234,341,451,468,774],[1,2,3,6,7,9,10,11,12,15,17,
18,28,30,32,41,44,47,53,56,58,70,73,80,120,152,160,174,191,213,232,320,446,
467,775],[1,2,3,6,8,9,10,11,15,16,17,18,28,32,40,53,62,67,70,73,80,107,154,
168,174,191,214,232,319,446,467,776],[1,2,3,6,11,17,18,27,28,55,71,73,80,106,
161,165,208,232,326,454,466,777],[1,2,3,6,7,9,10,11,12,16,17,27,28,30,41,44,
47,49,51,55,67,73,80,120,165,168,169,207,208,232,347,435,466,778],[1,2,3,6,7,
10,12,13,15,16,17,26,31,33,41,45,48,49,50,58,66,72,80,121,163,164,170,201,205,
234,345,450,465,779],[1,2,3,7,15,17,18,26,31,58,66,75,80,105,170,180,201,234,
325,436,465,780],[1,2,3,6,11,16,17,18,27,28,55,67,71,73,80,122,142,154,161,
165,208,232,411,454,466,781],[1,2,3,6,10,11,15,16,17,18,28,32,53,65,67,71,73,
80,124,139,161,166,168,191,232,412,456,467,782],[1,2,3,7,10,11,15,16,17,18,31,
36,56,65,66,72,75,80,125,141,163,171,180,190,234,404,451,468,783],[1,2,3,7,15,
16,17,18,26,31,58,66,72,75,80,123,143,155,170,180,201,234,407,436,465,784],[1,
2,3,7,10,11,15,16,17,18,26,31,36,50,54,58,62,66,72,75,140,170,180,189,201,206,
210,359,436,450,785],[1,2,3,6,10,11,15,16,17,18,27,28,32,51,55,57,62,67,71,73,
138,161,165,185,186,208,214,360,435,454,786],[1,2,3,7,10,11,15,17,18,31,36,54,
56,66,70,75,137,176,180,189,190,358,445,451,787],[1,2,3,6,10,11,15,17,18,28,
32,53,57,70,71,73,136,161,174,186,191,357,446,456,788],[1,2,3,9,10,11,13,14,
15,16,18,37,39,42,52,61,62,63,64,70,71,75,145,178,183,194,199,217,220,361,453,
458,789],[1,2,3,6,7,10,11,12,16,17,18,26,36,41,49,50,51,52,64,65,67,70,72,73,
79,123,125,133,138,139,144,145,148,152,156,167,200,205,206,225,227,420,423,
427,432,440,442,447,790],[1,2,3,6,7,10,12,14,16,17,37,41,50,51,52,64,65,66,67,
72,73,79,126,133,138,139,140,141,151,152,153,159,167,199,204,225,229,420,422,
428,433,441,443,449,791],[1,2,3,6,7,10,12,15,16,17,18,27,32,41,49,50,51,52,64,
65,66,67,70,72,79,122,124,133,140,141,144,145,147,153,156,159,185,202,207,227,
229,422,423,424,434,439,444,448,792],[1,2,3,6,7,10,12,16,17,41,66,67,68,72,73,
80,131,136,137,138,140,142,143,164,169,232,233,234,419,421,495,793],[1,2,3,7,
10,11,14,15,16,17,26,31,36,46,50,54,57,58,62,66,72,74,77,80,140,187,189,201,
206,210,230,234,236,237,359,385,465,498,503,794],[1,2,3,7,10,11,13,14,15,17,
31,36,42,46,54,56,57,58,66,68,74,77,80,137,187,189,190,193,221,226,230,234,
236,237,358,388,468,498,500,795],[1,2,3,6,9,10,11,14,15,17,28,32,38,39,53,54,
55,57,68,69,73,78,80,136,186,191,192,197,219,228,231,232,235,237,357,390,467,
499,501,796],[1,2,3,6,10,11,14,15,16,17,27,28,32,38,51,54,55,57,62,67,69,73,
78,80,138,185,186,197,208,214,228,232,235,237,360,386,466,499,502,797],[1,2,3,
6,7,10,11,12,15,17,32,36,41,53,54,55,56,57,58,66,68,69,73,74,77,78,80,127,129,
131,149,150,186,189,211,213,226,228,230,231,232,233,234,235,236,237,238,425,
426,495,496,497,498,499,505,798],[1,2,3,6,7,10,12,15,16,17,32,41,56,57,58,66,
68,72,73,74,77,80,129,131,137,140,143,150,164,186,213,226,230,232,233,234,419,
426,495,500,503,799],[1,2,3,6,7,10,11,12,16,17,36,41,53,54,55,66,67,68,69,73,
78,80,127,131,136,138,142,149,169,189,211,228,231,232,233,234,421,425,495,501,
502,800],[1,2,3,8,10,12,16,17,18,29,64,65,68,70,76,79,80,132,144,146,151,157,
233,431,464,504,801],[1,2,3,8,10,12,14,16,17,18,29,37,52,59,60,64,68,70,76,80,
132,144,182,195,199,233,431,481,504,802],[1,2,3,4,5,6,12,15,20,21,23,45,81,84,
86,94,99,100,241,267,279,506,803],[1,2,3,4,5,7,11,12,20,21,23,44,81,83,89,93,
98,100,241,271,280,507,804],[1,2,4,5,6,7,16,20,23,49,81,84,86,93,94,102,241,
246,288,506,805],[1,2,4,5,6,7,16,20,23,49,81,83,89,93,94,102,241,247,288,507,
806],[1,2,3,4,5,6,11,17,21,22,23,55,81,84,86,94,96,98,239,253,261,284,506,
807],[1,2,3,4,5,7,15,17,21,22,23,58,81,83,89,93,96,99,239,254,259,285,507,
808],[1,3,4,5,8,14,18,21,22,24,60,81,85,87,90,95,97,101,239,257,258,260,286,
508,809],[1,2,3,4,5,12,14,18,20,21,22,23,24,59,81,100,101,239,240,241,509,510,
511,810],[1,2,7,19,26,105,811],[1,2,6,19,27,106,812],[1,2,3,4,6,7,8,10,12,16,
20,26,29,41,49,50,72,84,85,115,159,205,246,323,516,813],[1,2,3,4,6,7,8,10,12,
16,20,27,29,41,49,51,67,83,90,115,167,207,247,324,517,814],[1,2,3,4,6,7,8,10,
11,12,16,17,21,29,36,41,51,52,53,55,66,72,84,85,115,153,164,200,211,248,253,
329,516,815],[1,2,3,4,6,7,8,10,12,14,16,18,21,29,37,41,50,51,59,60,65,70,84,
85,115,156,157,195,204,248,258,336,516,816],[1,2,3,4,6,7,8,10,12,15,16,17,21,
29,32,41,50,52,56,58,67,73,83,90,115,152,169,202,213,249,254,330,517,817],[1,
2,3,4,6,7,8,10,12,14,16,18,21,29,37,41,50,51,59,60,65,70,83,90,115,156,157,
195,204,249,260,336,517,818],[1,2,3,5,7,15,17,22,26,31,58,66,89,105,170,201,
259,325,515,819],[1,2,3,5,6,11,17,22,27,28,55,73,86,106,165,208,261,326,514,
820],[1,2,3,4,7,8,13,14,15,17,18,21,31,43,46,57,58,60,63,74,75,83,90,109,180,
184,187,222,254,260,354,521,821],[1,2,3,5,7,8,13,14,15,17,18,22,31,43,46,57,
58,60,63,74,75,87,89,92,109,180,184,187,222,257,259,262,354,518,822],[1,2,3,4,
6,8,9,11,14,17,18,21,28,38,40,54,55,60,61,69,71,84,85,107,161,179,197,218,253,
258,352,520,823],[1,2,3,5,6,8,9,11,14,17,18,22,28,38,40,54,55,60,61,69,71,86,
87,88,107,161,179,197,218,256,257,261,352,519,824],[1,2,3,4,6,7,8,9,10,11,12,
23,26,28,29,30,36,39,40,41,44,47,83,90,114,115,118,119,120,264,271,276,310,
517,825],[1,2,3,4,6,7,8,10,12,13,15,23,27,29,31,32,33,41,42,43,45,48,84,85,
113,115,116,117,121,263,267,272,311,516,826],[1,2,3,5,6,7,8,10,12,13,15,24,29,
31,32,33,35,41,42,43,45,48,87,89,92,109,110,116,117,121,269,270,274,277,313,
518,827],[1,2,3,5,6,7,8,9,10,11,12,24,28,29,30,34,36,39,40,41,44,47,86,87,88,
107,108,118,119,120,273,274,275,278,312,519,828],[1,2,3,4,6,7,10,12,14,16,23,
26,27,37,41,49,50,51,65,67,72,79,83,84,91,204,205,207,227,263,264,265,283,387,
829],[1,2,3,4,6,11,14,17,23,27,28,38,54,55,69,73,78,84,91,197,208,228,263,266,
282,386,830],[1,2,3,4,7,14,15,17,23,26,31,46,57,58,66,74,77,83,91,187,201,230,
264,268,281,385,831],[1,2,3,4,6,7,10,11,12,16,20,21,23,26,36,41,44,49,50,72,
83,93,98,100,105,114,123,205,206,247,249,264,280,293,522,542,546,832],[1,2,3,
4,6,7,10,12,15,16,20,21,23,27,32,41,45,49,51,67,84,94,99,100,106,113,122,185,
207,246,248,263,279,292,523,541,543,833],[1,2,3,4,6,7,9,10,11,12,15,16,17,20,
21,23,27,28,30,32,41,44,45,47,49,51,55,56,58,62,67,73,76,84,93,98,100,113,120,
134,207,208,213,214,215,223,246,248,253,263,267,280,309,532,537,538,541,551,
834],[1,2,3,4,7,8,9,10,11,12,14,18,20,21,23,29,30,36,37,38,39,40,44,47,59,60,
61,70,71,91,93,98,100,111,119,128,195,196,217,218,250,251,252,265,266,280,307,
531,539,540,549,550,835],[1,2,3,4,6,7,10,11,12,13,15,16,17,20,21,23,26,31,33,
36,41,44,45,48,49,50,53,55,58,62,66,72,76,83,94,99,100,114,121,135,201,205,
210,211,212,223,247,249,254,264,271,279,308,533,546,547,548,557,836],[1,2,3,4,
6,8,10,12,13,14,15,18,20,21,23,29,32,33,37,42,43,45,46,48,59,60,63,70,75,91,
94,99,100,112,117,130,188,195,220,222,250,252,255,265,268,279,305,534,544,545,
549,556,837],[1,2,3,5,7,10,11,15,17,24,31,36,54,56,66,89,137,189,190,270,358,
535,838],[1,2,3,5,6,10,11,15,17,24,28,32,53,57,73,86,136,186,191,275,357,536,
839],[1,2,3,4,6,7,8,10,12,16,23,27,29,41,49,51,67,84,85,115,167,207,263,324,
516,840],[1,2,3,4,6,7,8,10,12,16,23,26,29,41,49,50,72,83,90,115,159,205,264,
323,517,841],[1,2,3,5,7,15,17,24,26,31,58,66,89,105,170,201,270,325,515,842],[
1,2,3,4,7,8,13,15,17,23,26,31,43,58,66,83,90,109,158,201,264,314,521,843],[1,
2,3,5,6,11,17,24,27,28,55,73,86,106,165,208,275,326,514,844],[1,2,3,4,6,8,9,
11,17,23,27,28,40,55,73,84,85,107,160,208,263,318,520,845],[1,2,3,5,8,10,12,
16,17,24,29,64,68,76,87,132,274,431,846],[1,2,3,4,9,10,11,13,14,15,16,18,21,
23,37,39,42,61,62,63,64,65,70,91,98,99,102,126,144,175,177,194,217,220,251,
255,265,289,484,539,544,563,847],[1,2,3,4,7,10,11,15,16,17,21,23,26,31,36,50,
58,62,66,72,83,98,99,102,123,141,163,173,201,206,210,249,254,264,289,475,542,
547,562,848],[1,2,3,4,6,10,11,15,16,17,21,23,27,28,32,51,55,62,67,73,84,98,99,
102,122,139,168,172,185,208,214,248,253,263,289,480,537,543,561,849],[1,2,3,4,
6,11,17,21,23,27,28,55,73,84,94,96,98,106,165,208,253,263,284,326,523,537,564,
850],[1,2,3,4,6,7,10,12,15,16,17,21,23,27,32,41,45,51,56,57,58,67,73,84,93,96,
99,113,165,169,172,185,186,213,248,263,267,285,351,532,543,564,851],[1,2,3,4,
7,15,17,21,23,26,31,58,66,83,93,96,99,105,170,201,254,264,285,325,522,547,565,
852],[1,2,3,4,6,7,10,11,12,16,17,21,23,26,36,41,44,50,53,54,55,66,72,83,94,96,
98,114,164,170,173,189,206,211,249,264,271,284,350,533,542,565,853],[1,2,3,4,
7,10,11,13,14,15,17,18,21,23,36,37,38,42,56,58,63,68,70,91,93,96,99,111,176,
182,193,220,255,265,266,285,348,531,544,566,854],[1,2,3,4,6,9,10,11,14,15,17,
18,21,23,32,37,39,46,53,55,61,68,70,91,94,96,98,112,174,182,192,217,251,265,
268,284,349,534,539,566,855],[1,2,3,5,8,10,12,13,14,15,17,18,22,24,33,35,42,
43,46,48,56,57,59,60,63,74,75,92,95,97,101,110,181,183,184,188,221,222,262,
269,277,286,355,528,559,568,856],[1,2,3,5,7,8,13,14,15,17,18,22,24,31,43,46,
57,58,60,63,74,75,89,95,97,101,109,180,184,187,222,259,270,286,354,527,560,
567,857],[1,2,3,4,7,8,13,14,15,17,18,21,23,31,43,46,57,58,60,63,74,75,85,93,
96,99,109,180,184,187,222,258,272,285,354,530,552,571,858],[1,2,3,4,6,8,9,11,
14,17,18,21,23,28,38,40,54,55,60,61,69,71,90,94,96,98,107,161,179,197,218,260,
276,284,352,529,558,572,859],[1,2,3,5,8,9,10,11,12,14,17,18,22,24,30,34,38,39,
40,47,53,54,59,60,61,69,71,88,95,97,101,108,162,178,179,196,218,219,256,273,
278,286,353,526,554,569,860],[1,2,3,5,6,8,9,11,14,17,18,22,24,28,38,40,54,55,
60,61,69,71,86,95,97,101,107,161,179,197,218,261,275,286,352,525,555,570,
861],[1,2,3,5,6,7,8,10,12,14,16,18,22,24,29,37,41,50,51,59,60,65,70,87,95,97,
101,115,156,157,195,204,257,274,286,336,524,553,573,862],[1,2,3,4,6,7,10,12,
16,17,20,21,23,26,41,49,50,66,72,76,83,96,100,102,123,135,140,141,164,170,205,
247,249,264,287,489,546,562,565,863],[1,2,3,4,6,7,10,12,16,17,20,21,23,27,41,
49,51,67,73,76,84,96,100,102,122,134,138,139,165,169,207,246,248,263,287,492,
541,561,564,864],[1,2,3,4,8,10,12,14,16,17,18,20,21,23,29,37,59,60,64,65,68,
70,76,91,96,100,102,126,132,145,146,157,182,195,250,252,265,287,494,549,563,
566,865],[1,2,3,4,6,7,10,12,15,16,23,27,32,41,45,49,51,67,84,93,94,102,106,
113,122,185,207,263,267,288,292,523,532,561,866],[1,2,3,4,6,7,10,11,14,15,16,
23,32,36,37,38,46,49,50,51,52,64,65,91,93,94,102,111,112,126,199,203,209,216,
265,266,268,288,303,531,534,563,867],[1,2,3,4,6,7,10,11,12,16,23,26,36,41,44,
49,50,72,83,93,94,102,105,114,123,205,206,264,271,288,293,522,533,562,868],[1,
2,3,5,7,15,17,22,57,58,66,74,77,80,89,137,230,234,259,500,535,869],[1,2,3,5,6,
11,17,22,54,55,69,73,78,80,86,136,228,232,261,501,536,870],[1,2,3,5,7,15,16,
17,24,31,66,72,89,137,141,155,270,395,535,871],[1,2,3,5,6,11,16,17,24,28,67,
73,86,136,139,154,275,393,536,872],[1,2,3,4,6,7,10,16,23,49,50,51,52,64,65,67,
72,79,93,94,102,147,148,151,224,225,227,229,283,288,430,578,579,582,873],[1,2,
3,4,7,15,17,21,23,57,58,66,74,77,78,80,93,96,99,149,230,234,235,238,282,285,
496,575,576,580,874],[1,2,3,4,6,11,17,21,23,54,55,69,73,77,78,80,94,96,98,150,
228,232,236,238,281,284,497,574,577,581,875],[1,2,7,25,26,103,105,585,876],[1,
2,6,25,27,103,106,584,877],[1,2,3,4,12,14,18,19,20,21,23,59,82,91,100,242,252,
591,878],[1,3,5,8,14,18,19,22,24,60,82,87,101,242,257,588,879],[1,3,5,9,14,18,
19,22,24,61,82,88,101,242,256,589,880],[1,3,5,13,14,18,19,22,24,63,82,92,101,
242,262,590,881],[1,2,4,5,20,23,25,81,103,241,243,244,245,512,513,593,882],[1,
2,3,6,7,8,10,12,13,15,16,27,29,31,32,33,35,41,42,43,45,48,49,51,67,106,109,
110,113,115,116,117,121,122,166,167,185,207,292,311,313,324,327,371,594,600,
613,883],[1,2,3,6,7,8,9,10,11,12,16,26,28,29,30,34,36,39,40,41,44,47,49,50,72,
105,107,108,114,115,118,119,120,123,159,171,205,206,293,310,312,323,346,366,
595,601,614,884],[1,2,3,6,7,8,10,12,13,14,15,16,17,18,27,29,31,32,33,35,37,41,
42,43,45,46,48,50,51,52,56,57,58,59,60,63,65,67,70,73,74,75,109,110,112,113,
115,116,117,121,124,129,130,152,156,157,165,169,172,174,175,180,181,183,184,
185,186,187,188,195,202,204,209,213,220,221,222,300,304,305,311,313,330,336,
337,339,340,351,354,355,356,367,368,369,370,382,383,594,605,606,607,615,616,
627,885],[1,2,3,6,7,8,9,10,11,12,14,16,17,18,26,28,29,30,34,36,37,38,39,40,41,
44,47,50,51,52,53,54,55,59,60,61,65,66,69,70,71,72,107,108,111,114,115,118,
119,120,125,127,128,153,156,157,161,162,164,170,173,176,177,178,179,189,195,
196,197,200,204,206,211,216,217,218,219,301,306,307,310,312,322,329,336,342,
343,344,350,352,353,362,363,364,365,380,381,595,602,603,604,617,618,628,886],[
1,2,3,6,7,10,11,12,14,15,16,26,27,32,36,37,38,41,44,45,46,49,50,51,52,64,65,
67,72,79,105,106,111,112,113,114,122,123,124,125,126,133,147,148,151,185,199,
200,202,203,204,205,206,207,209,216,224,225,227,229,292,293,300,301,302,303,
387,389,391,392,424,427,428,429,430,609,610,612,710,887],[1,2,3,6,7,8,9,10,11,
12,13,15,16,17,26,27,28,29,30,31,32,33,34,36,39,40,41,42,43,44,45,47,48,49,50,
51,52,53,55,56,58,62,64,66,67,68,72,73,76,107,108,113,114,115,116,117,118,119,
120,121,131,132,133,134,135,152,154,160,167,168,169,190,191,192,193,194,198,
200,201,202,203,205,207,208,210,211,212,213,214,215,223,294,295,296,297,298,
299,302,308,309,310,311,312,318,319,320,321,324,330,331,332,334,347,373,374,
376,377,384,595,619,621,622,623,636,677,888],[1,2,3,6,7,8,9,10,11,12,13,15,16,
17,26,27,28,29,30,31,32,33,35,36,39,40,41,42,43,44,45,47,48,49,50,51,52,53,55,
56,58,62,64,66,67,68,72,73,76,109,110,113,114,115,116,117,118,119,120,121,131,
132,133,134,135,153,155,158,159,163,164,190,191,192,193,194,198,200,201,202,
203,205,207,208,210,211,212,213,214,215,223,294,295,296,297,298,299,302,308,
309,310,311,313,314,315,316,317,323,328,329,333,335,345,372,375,378,379,384,
594,620,624,625,626,637,677,889],[1,2,3,6,7,10,11,12,13,14,15,16,17,26,31,32,
36,37,41,42,44,46,48,49,50,56,57,58,66,68,69,72,73,74,77,105,112,114,116,123,
127,129,131,143,150,153,155,170,186,187,190,193,201,205,206,213,221,226,230,
293,294,304,325,328,362,385,388,405,407,426,450,473,611,638,649,680,702,890],[
1,2,3,6,7,10,11,12,13,14,15,16,17,18,26,31,32,36,37,38,41,42,44,46,48,50,51,
52,56,57,58,62,63,65,66,68,70,71,72,73,74,77,111,112,114,116,123,125,128,129,
131,141,146,150,156,159,163,171,173,175,176,182,186,187,190,193,200,201,204,
206,210,213,216,220,221,226,230,294,301,304,333,339,341,348,364,366,385,388,
404,406,414,415,426,445,459,475,483,611,639,647,648,661,693,703,891],[1,2,3,6,
7,9,10,11,12,14,15,16,17,27,28,32,36,37,38,39,41,45,47,49,51,53,54,55,66,67,
68,69,73,74,78,106,111,113,118,122,127,129,131,142,149,152,154,165,185,189,
191,192,197,207,208,211,219,228,231,292,295,306,326,331,367,386,390,409,411,
425,435,470,608,642,650,678,704,892],[1,2,3,6,7,9,10,11,12,14,15,16,17,18,27,
28,32,36,37,38,39,41,45,46,47,50,51,52,53,54,55,61,62,65,66,67,68,69,70,73,75,
78,111,112,113,118,122,124,127,130,131,139,146,149,156,166,167,168,172,174,
177,182,185,189,191,192,197,202,204,208,209,211,214,217,219,228,231,295,300,
306,332,338,343,349,369,371,386,390,410,412,415,416,425,437,446,480,482,608,
641,646,651,668,697,705,893],[1,2,3,6,7,9,10,11,12,14,15,16,17,18,26,27,28,32,
36,37,38,39,41,44,45,46,47,49,50,51,52,53,54,55,61,62,64,65,66,67,68,70,72,73,
75,76,79,111,112,113,114,118,122,124,125,126,130,131,133,135,139,141,143,146,
151,153,156,159,164,166,167,168,170,171,172,173,174,177,182,185,189,191,192,
199,200,202,203,204,205,206,207,208,209,211,214,216,217,224,225,227,229,295,
300,301,302,303,332,338,342,343,346,349,350,369,371,372,389,391,392,405,406,
408,410,412,415,416,428,429,432,433,440,441,444,448,472,476,480,482,612,640,
641,646,652,665,666,683,688,706,708,894],[1,2,3,6,7,9,10,11,12,14,15,16,17,18,
26,27,28,32,36,37,39,41,44,45,46,47,49,50,51,52,53,54,55,61,64,65,66,67,68,70,
72,73,74,75,76,79,106,112,113,114,118,122,124,129,130,131,133,135,141,142,143,
146,147,152,153,154,156,159,164,165,170,171,173,174,177,182,185,189,191,192,
200,202,203,204,205,206,207,208,209,211,217,227,229,292,295,300,302,326,331,
342,343,346,349,350,367,369,372,387,389,405,406,408,409,411,415,416,424,434,
439,442,443,447,449,470,472,476,482,609,640,642,646,653,657,667,685,687,707,
709,895],[1,2,3,6,7,10,11,12,13,14,15,16,17,18,26,27,31,32,36,37,38,41,42,44,
45,46,48,49,50,51,52,56,57,58,62,63,64,65,66,67,68,70,71,72,73,76,79,111,112,
113,114,116,123,124,125,126,128,131,133,134,139,141,142,146,151,152,156,159,
163,165,166,167,169,171,172,173,175,176,182,185,186,190,193,199,200,201,202,
203,204,205,206,207,209,210,213,216,220,224,225,227,229,294,300,301,302,303,
327,333,337,339,341,348,351,364,366,373,389,391,392,404,406,409,410,413,414,
415,428,429,432,439,441,443,444,447,469,475,479,483,612,639,643,647,656,662,
663,681,691,706,709,896],[1,2,3,6,7,10,11,12,13,14,15,16,17,18,26,27,31,32,36,
37,38,41,42,44,45,48,49,50,51,52,56,57,58,63,64,65,66,67,68,69,70,71,72,73,76,
79,105,111,113,114,116,123,125,127,128,131,133,134,139,142,143,146,148,152,
153,155,156,165,166,167,169,170,172,175,176,182,185,186,190,193,200,201,202,
203,204,205,206,207,213,216,220,225,227,293,294,301,302,325,327,328,337,339,
348,351,362,364,373,387,391,405,407,409,410,413,414,415,427,433,434,440,442,
448,449,469,473,479,483,610,638,643,647,654,655,664,684,690,707,708,897],[1,2,
3,6,7,8,10,11,12,13,15,16,17,26,29,31,32,33,35,36,41,42,43,44,45,48,49,50,53,
54,55,56,58,62,66,68,69,72,73,76,78,105,109,110,114,116,117,121,123,127,131,
135,137,140,141,143,149,153,155,158,163,164,170,173,189,190,193,201,205,206,
210,211,212,213,223,228,231,293,294,308,313,314,315,316,317,325,328,345,350,
358,359,362,378,379,395,396,399,400,405,407,417,419,425,461,473,475,476,477,
485,489,596,626,634,638,725,738,743,748,763,898],[1,2,3,6,7,8,9,10,11,12,13,
14,15,16,17,26,28,29,31,32,33,35,36,37,38,39,41,42,43,44,45,47,48,49,50,51,52,
53,54,55,56,58,62,64,65,66,67,68,69,72,73,76,78,79,109,110,111,114,116,117,
118,121,123,125,127,131,133,135,137,140,141,143,148,149,153,155,158,159,163,
164,170,171,173,189,190,193,194,197,198,200,201,204,205,206,210,211,212,213,
214,215,216,219,223,225,227,228,231,294,296,298,301,306,308,313,314,315,316,
317,328,333,335,341,342,345,346,350,358,359,363,366,375,378,379,395,396,399,
400,401,404,406,407,408,417,419,422,425,427,461,462,472,473,474,475,476,477,
485,486,487,489,597,625,626,633,634,639,644,726,727,735,740,742,743,747,749,
750,762,763,899],[1,2,3,6,7,8,9,10,11,12,15,16,17,27,28,29,30,32,34,36,39,40,
41,44,45,47,49,51,53,55,56,57,58,62,66,67,68,73,74,76,77,106,107,108,113,118,
119,120,122,129,131,134,136,138,139,142,150,152,154,160,165,168,169,172,185,
186,191,192,207,208,211,213,214,215,223,226,230,292,295,309,312,318,319,320,
321,326,331,347,351,357,360,367,376,377,393,394,397,398,409,411,418,421,426,
460,470,478,479,480,488,492,598,623,632,642,722,736,745,754,760,900],[1,2,3,6,
7,8,9,10,11,12,13,14,15,16,17,27,28,29,30,31,32,34,36,37,39,40,41,42,44,45,46,
47,48,49,50,51,52,53,55,56,57,58,62,64,65,66,67,68,72,73,74,76,77,79,107,108,
112,113,116,118,119,120,122,124,129,131,133,134,136,138,139,142,147,150,152,
154,160,165,166,167,168,169,172,185,186,187,191,192,194,198,202,204,207,208,
209,210,211,212,213,214,215,221,223,226,227,229,230,295,296,297,300,304,309,
312,318,319,320,321,327,331,332,334,337,338,347,351,357,360,368,371,374,376,
377,393,394,397,398,402,410,411,412,413,418,420,421,424,426,460,463,469,470,
471,478,479,480,488,490,491,492,599,621,623,631,632,641,645,723,724,737,739,
744,745,751,752,753,760,761,901],[1,2,3,6,7,10,12,15,16,17,18,27,32,41,45,49,
51,66,67,70,72,75,76,78,79,106,113,122,130,135,141,143,148,149,153,156,159,
164,174,185,207,292,369,372,434,439,461,462,629,667,716,902],[1,2,3,6,7,10,12,
14,15,16,17,18,27,32,37,41,45,46,50,51,52,65,66,67,70,72,73,74,75,76,78,79,
112,113,122,124,129,130,135,141,143,148,149,152,153,156,159,164,165,166,167,
174,185,202,204,209,300,367,369,371,372,433,441,443,444,448,449,461,462,629,
652,653,665,713,714,715,903],[1,2,3,6,7,10,11,12,16,17,18,26,36,41,44,49,50,
67,70,71,72,73,76,77,79,105,114,123,128,134,139,142,147,150,152,156,167,169,
176,205,206,293,364,373,440,442,460,463,630,664,717,904],[1,2,3,6,7,10,11,12,
14,16,17,18,26,36,37,38,41,44,50,51,52,65,66,67,69,70,71,72,73,76,77,79,111,
114,123,125,127,128,134,139,142,147,150,152,153,156,159,167,169,170,171,176,
200,204,206,216,301,362,364,366,373,432,433,441,443,447,449,460,463,630,655,
656,662,711,712,718,905],[1,2,3,6,7,10,11,12,14,15,16,17,18,26,27,32,36,37,41,
44,45,46,49,50,51,52,64,65,66,67,69,70,71,72,75,76,79,106,112,113,114,122,123,
124,127,128,130,133,135,140,141,144,145,147,153,156,159,164,170,171,174,176,
185,200,202,203,204,205,207,209,227,229,292,300,302,362,364,366,369,372,387,
389,422,423,424,434,439,444,448,487,489,493,609,652,654,663,667,673,674,792,
906],[1,2,3,6,7,10,11,12,14,15,16,17,18,26,27,32,36,37,38,41,44,45,49,50,51,
52,64,65,67,70,71,72,73,74,75,76,79,105,111,113,114,122,123,125,128,129,130,
133,134,138,139,144,145,148,152,156,165,166,167,169,174,176,200,202,203,204,
205,206,207,216,225,227,293,301,302,364,367,369,371,373,387,391,420,423,427,
432,440,442,447,491,492,493,610,656,657,664,666,674,675,790,907],[1,2,3,6,7,
10,11,12,14,15,16,17,26,27,32,36,37,38,41,44,45,46,49,50,51,52,64,65,66,67,69,
72,73,74,76,79,111,112,113,114,122,123,124,125,126,127,129,133,134,135,138,
139,140,141,151,152,153,159,164,165,166,167,169,170,171,185,199,200,202,203,
204,205,206,207,209,216,224,225,227,229,300,301,302,303,362,366,367,371,372,
373,389,391,392,420,422,428,429,433,441,443,449,487,489,491,492,612,653,655,
662,665,673,675,791,908],[1,2,3,6,7,9,10,11,12,14,15,16,17,27,28,32,36,37,39,
41,45,46,47,50,51,52,53,55,62,65,66,67,68,69,72,73,74,76,112,113,118,122,124,
125,127,129,131,135,137,139,140,143,152,153,159,164,165,166,167,168,172,173,
185,191,192,202,204,208,209,211,214,295,300,332,338,363,367,371,372,410,412,
419,435,443,449,480,485,486,641,650,653,676,713,909],[1,2,3,6,7,9,10,11,12,15,
16,17,18,27,28,32,36,39,41,45,47,49,51,53,55,65,66,67,68,69,70,72,73,74,75,76,
106,113,118,122,125,127,129,130,131,135,137,140,142,143,152,153,154,156,159,
164,165,173,174,185,191,192,207,208,211,292,295,326,331,363,367,369,372,409,
411,419,434,439,446,470,485,486,642,651,667,676,715,910],[1,2,3,6,7,9,10,11,
12,15,16,17,18,26,27,28,32,36,39,41,44,45,47,49,50,51,52,53,54,55,64,66,67,68,
70,71,72,73,75,76,113,114,118,122,128,130,131,133,135,141,143,144,145,153,156,
159,164,166,167,170,171,173,174,176,189,191,192,200,202,203,205,206,207,208,
211,295,302,342,346,350,364,369,371,372,405,406,408,423,432,437,440,446,472,
476,493,640,651,666,668,674,714,716,911],[1,2,3,6,7,9,10,11,12,15,16,17,18,26,
27,28,32,36,39,41,44,45,47,49,50,51,52,53,54,55,64,66,67,68,70,72,73,74,75,76,
113,114,118,122,129,130,131,133,134,135,138,139,141,143,152,153,156,159,164,
165,166,167,169,170,171,173,174,189,191,192,200,202,203,205,206,207,208,211,
295,302,342,346,350,367,369,371,372,373,405,406,408,420,435,437,442,447,472,
476,491,492,640,650,657,668,675,713,715,912],[1,2,3,6,7,9,10,11,12,14,15,16,
17,18,27,28,32,36,37,39,41,45,46,47,50,51,52,53,55,61,65,66,67,68,69,70,72,73,
75,76,112,113,118,122,124,125,127,130,131,135,137,140,143,146,153,156,159,164,
166,167,173,174,177,182,185,191,192,202,204,208,209,211,217,295,300,343,349,
363,369,371,372,415,416,419,433,437,441,444,448,482,485,486,646,652,665,668,
676,714,716,913],[1,2,3,6,7,10,11,12,13,14,15,16,17,26,31,32,36,37,38,41,42,
44,48,50,51,52,56,58,62,65,66,67,68,69,72,73,74,76,111,114,116,123,124,125,
127,129,131,134,136,138,141,142,152,153,159,163,167,169,170,171,172,173,190,
193,200,201,204,206,210,213,216,294,301,333,341,362,366,368,373,404,406,421,
433,449,450,475,488,490,639,649,655,672,711,914],[1,2,3,6,7,10,11,12,13,15,16,
17,18,26,31,32,36,41,42,44,48,49,50,56,58,65,66,67,68,69,70,71,72,73,74,76,
105,114,116,123,124,127,128,129,131,134,136,138,142,143,152,153,155,156,167,
169,170,172,176,190,193,201,205,206,213,293,294,325,328,362,364,368,373,405,
407,421,440,442,445,473,488,490,638,648,664,672,718,915],[1,2,3,6,7,10,11,12,
13,15,16,17,18,26,27,31,32,36,41,42,44,45,48,49,50,51,52,56,57,58,64,66,67,68,
70,71,72,73,75,76,113,114,116,123,128,130,131,133,134,139,142,144,145,152,156,
159,165,166,167,169,171,172,174,176,185,186,190,193,200,201,202,203,205,207,
213,294,302,327,337,351,364,366,369,373,409,410,413,423,439,444,445,459,469,
479,493,643,648,661,663,674,712,717,916],[1,2,3,6,7,10,11,12,13,15,16,17,18,
26,27,31,32,36,41,42,44,45,48,49,50,51,52,56,57,58,64,66,67,68,69,70,71,72,73,
76,113,114,116,123,127,128,131,133,134,135,139,140,141,142,152,153,156,159,
164,165,166,167,169,170,171,172,176,185,186,190,193,200,201,202,203,205,207,
213,294,302,327,337,351,362,364,366,372,373,409,410,413,422,434,448,450,459,
469,479,487,489,643,649,654,661,673,711,718,917],[1,2,3,6,7,10,11,12,13,14,15,
16,17,18,26,31,32,36,37,38,41,42,44,48,50,51,52,56,58,63,65,66,67,68,70,71,72,
73,74,76,111,114,116,123,124,125,128,129,131,134,136,138,142,146,152,156,159,
167,169,171,172,175,176,182,190,193,200,201,204,206,213,216,220,294,301,339,
348,364,366,368,373,414,415,421,432,441,443,447,459,483,488,490,647,656,661,
662,672,712,717,918],[1,2,3,6,7,8,9,10,11,12,13,15,16,17,18,26,27,28,29,30,31,
32,33,36,39,40,41,42,43,44,45,47,48,49,50,51,52,53,55,56,58,62,64,66,67,68,70,
72,73,75,76,113,114,115,116,117,118,119,120,121,130,131,132,133,134,135,156,
174,180,183,190,191,192,193,194,198,200,201,202,203,205,207,208,210,211,212,
213,214,215,223,294,295,296,297,298,299,302,308,309,310,311,369,382,384,436,
451,453,605,669,670,677,919],[1,2,3,6,7,8,9,10,11,12,13,15,16,17,18,26,27,28,
29,30,31,32,33,36,39,40,41,42,43,44,45,47,48,49,50,51,52,53,55,56,58,62,64,66,
67,68,70,72,73,75,76,113,114,115,116,117,118,119,120,121,122,130,131,132,133,
134,135,156,166,167,174,180,183,190,191,192,193,194,198,200,201,202,203,205,
207,208,210,211,212,213,214,215,223,294,295,296,297,298,299,302,308,309,310,
311,369,371,382,384,432,437,440,600,605,666,668,677,920],[1,2,3,6,7,8,9,10,11,
12,13,15,16,17,18,26,27,28,29,30,31,32,33,36,39,40,41,42,43,44,45,47,48,49,50,
51,52,53,55,56,58,62,64,66,67,68,70,71,72,73,76,113,114,115,116,117,118,119,
120,121,128,131,132,133,134,135,156,161,176,178,190,191,192,193,194,198,200,
201,202,203,205,207,208,210,211,212,213,214,215,223,294,295,296,297,298,299,
302,308,309,310,311,364,380,384,454,456,458,602,658,659,677,921],[1,2,3,6,7,8,
9,10,11,12,13,15,16,17,18,26,27,28,29,30,31,32,33,36,39,40,41,42,43,44,45,47,
48,49,50,51,52,53,55,56,58,62,64,66,67,68,70,71,72,73,76,113,114,115,116,117,
118,119,120,121,123,128,131,132,133,134,135,156,159,161,171,176,178,190,191,
192,193,194,198,200,201,202,203,205,207,208,210,211,212,213,214,215,223,294,
295,296,297,298,299,302,308,309,310,311,364,366,380,384,439,444,459,601,602,
661,663,677,922],[1,2,3,6,7,8,9,10,11,12,13,15,16,17,18,26,27,28,29,30,31,32,
33,36,39,40,41,42,43,44,45,47,48,49,50,51,52,53,55,56,58,62,64,66,67,68,70,72,
73,74,75,76,113,114,115,116,117,118,119,120,121,129,130,131,132,133,134,135,
152,156,165,174,181,184,190,191,192,193,194,198,200,201,202,203,205,207,208,
210,211,212,213,214,215,223,294,295,296,297,298,299,302,308,309,310,311,367,
369,383,384,435,442,446,447,606,650,651,657,677,923],[1,2,3,6,7,8,9,10,11,12,
13,15,16,17,18,26,27,28,29,30,31,32,33,36,39,40,41,42,43,44,45,47,48,49,50,51,
52,53,55,56,58,62,64,66,67,68,69,70,71,72,73,76,113,114,115,116,117,118,119,
120,121,127,128,131,132,133,134,135,153,156,162,170,176,179,190,191,192,193,
194,198,200,201,202,203,205,207,208,210,211,212,213,214,215,223,294,295,296,
297,298,299,302,308,309,310,311,362,364,381,384,434,445,448,450,603,648,649,
654,677,924],[1,2,3,6,7,8,10,12,13,15,16,17,18,27,29,31,32,33,41,42,43,45,48,
49,51,64,66,67,68,70,72,73,75,76,106,113,115,116,117,121,122,130,131,132,133,
134,135,153,155,156,158,159,163,164,166,167,174,180,183,185,207,292,311,324,
327,369,371,372,375,378,379,382,384,434,439,605,613,637,667,714,925],[1,2,3,6,
7,8,10,12,13,14,15,16,17,27,29,31,32,33,37,41,42,43,45,46,48,50,51,52,56,57,
58,64,65,66,67,68,72,73,74,76,112,113,115,116,117,121,122,124,129,131,132,133,
134,135,152,153,155,158,159,163,164,165,166,167,169,172,185,186,187,202,204,
209,213,221,300,304,311,330,337,351,367,368,371,372,375,378,379,384,433,441,
600,615,637,665,713,926],[1,2,3,6,7,8,9,10,11,12,14,16,17,26,28,29,30,36,37,
38,39,40,41,44,47,50,51,52,53,54,55,64,65,66,67,68,69,72,73,76,111,114,115,
118,119,120,123,125,127,131,132,133,134,135,152,153,154,159,160,164,167,168,
169,170,171,173,189,197,200,204,206,211,216,219,301,306,310,329,342,350,362,
363,366,373,374,376,377,384,441,443,601,617,636,662,711,927],[1,2,3,6,7,8,9,
10,11,12,16,17,18,26,28,29,30,36,39,40,41,44,47,49,50,64,66,67,68,70,71,72,73,
76,105,114,115,118,119,120,123,128,131,132,133,134,135,152,154,156,159,160,
161,167,168,169,171,176,178,205,206,293,310,323,346,364,366,373,374,376,377,
380,384,440,442,602,614,636,664,712,928],[1,2,3,6,7,8,10,12,13,14,15,16,17,18,
27,29,31,32,33,37,41,42,43,45,46,48,50,51,52,59,60,63,64,65,66,67,68,70,72,73,
74,75,76,112,113,115,116,117,121,124,129,130,131,132,133,134,135,152,153,155,
156,157,158,159,163,164,165,174,175,181,184,185,188,195,202,204,209,220,222,
300,305,311,336,339,340,367,369,370,372,375,378,379,383,384,443,444,448,449,
606,616,637,652,653,715,716,929],[1,2,3,6,7,8,9,10,11,12,14,16,17,18,26,28,29,
30,36,37,38,39,40,41,44,47,50,51,52,59,60,61,64,65,66,67,68,69,70,71,72,73,76,
111,114,115,118,119,120,125,127,128,131,132,133,134,135,152,153,154,156,157,
160,162,167,168,169,170,176,177,179,195,196,200,204,206,216,217,218,301,307,
310,336,343,344,362,364,365,373,374,376,377,381,384,432,433,447,449,603,618,
636,655,656,717,718,930],[1,2,3,6,7,8,10,12,13,14,15,16,17,18,27,29,31,32,33,
37,41,42,43,45,46,48,50,51,52,56,57,58,64,65,66,67,68,70,72,73,74,75,76,112,
113,115,116,117,121,124,129,130,131,132,133,134,135,152,153,155,156,158,159,
163,164,165,169,172,174,180,183,185,186,187,202,204,209,213,221,300,304,311,
330,337,351,367,368,369,372,375,378,379,382,384,438,452,605,615,637,671,720,
931],[1,2,3,6,7,8,9,10,11,12,14,16,17,18,26,28,29,30,36,37,38,39,40,41,44,47,
50,51,52,53,54,55,64,65,66,67,68,69,70,71,72,73,76,111,114,115,118,119,120,
125,127,128,131,132,133,134,135,152,153,154,156,160,161,164,167,168,169,170,
173,176,178,189,197,200,204,206,211,216,219,301,306,310,329,342,350,362,363,
364,373,374,376,377,380,384,455,457,602,617,636,660,719,932],[1,2,3,6,7,8,9,
10,11,12,13,14,15,16,17,18,26,27,28,29,30,31,32,33,36,37,38,39,40,41,42,43,44,
45,46,47,48,49,50,51,52,53,55,56,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,
75,76,79,111,112,113,114,115,116,117,118,119,120,121,124,125,126,128,130,131,
132,133,134,135,144,145,146,151,156,157,174,175,176,177,182,185,188,190,191,
192,193,194,195,196,198,199,200,201,202,203,204,205,206,207,208,209,210,211,
212,213,214,215,216,217,218,220,222,223,224,225,227,229,294,295,296,297,298,
299,300,301,302,303,305,307,308,309,310,311,336,339,340,343,344,348,349,361,
364,365,369,370,384,389,391,392,403,414,415,416,423,428,429,464,481,482,483,
484,493,494,612,616,618,646,647,674,677,734,741,746,755,933],[1,2,3,6,7,8,9,
10,11,12,13,14,15,16,17,26,27,28,29,30,31,32,33,36,37,39,40,41,42,43,44,45,46,
47,48,49,50,51,52,53,55,56,57,58,62,64,65,66,67,68,72,73,74,76,79,106,112,113,
114,115,116,117,118,119,120,121,122,124,129,131,132,133,134,135,138,139,142,
147,152,154,165,166,167,168,169,172,185,186,187,190,191,192,193,194,198,200,
201,202,203,204,205,207,208,209,210,211,212,213,214,215,221,223,227,229,292,
294,295,296,297,298,299,300,302,304,308,309,310,311,324,326,327,330,331,332,
334,337,338,347,351,360,367,368,371,373,374,384,387,389,402,409,410,411,412,
413,420,424,463,469,470,471,479,480,490,491,492,609,613,615,619,641,642,643,
675,677,732,736,739,744,751,752,934],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,17,
26,27,28,29,30,31,32,33,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,
56,57,58,62,64,65,66,67,68,72,73,74,76,77,112,113,114,115,116,117,118,119,120,
121,124,129,131,132,133,134,135,136,138,139,142,150,152,154,160,165,166,167,
169,172,185,186,187,190,191,192,193,194,198,200,201,202,203,204,205,207,208,
209,210,211,212,213,214,215,221,223,226,230,294,295,296,297,298,299,300,302,
304,308,309,310,311,320,321,327,330,334,337,338,351,357,360,367,368,373,377,
384,385,388,397,398,409,410,413,418,421,426,460,469,470,471,478,479,488,490,
491,611,615,622,643,645,672,677,731,737,739,745,753,754,935],[1,2,3,6,7,8,9,
10,11,12,13,14,15,16,17,26,27,28,29,30,31,32,33,36,37,38,39,40,41,42,43,44,45,
47,48,49,50,51,52,53,54,55,56,58,62,64,65,66,67,68,69,72,73,76,79,105,111,113,
114,115,116,117,118,119,120,121,123,125,127,131,132,133,134,135,140,141,143,
148,153,155,159,163,164,170,171,173,189,190,191,192,193,194,197,198,200,201,
202,203,204,205,206,207,208,210,211,212,213,214,215,216,219,223,225,227,293,
294,295,296,297,298,299,301,302,306,308,309,310,311,323,325,328,329,333,335,
341,342,345,346,350,359,362,363,366,372,375,384,387,391,401,404,405,406,407,
408,422,427,462,472,473,474,475,476,486,487,489,610,614,617,620,638,639,640,
673,677,730,738,740,742,749,750,936],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,17,
26,27,28,29,30,31,32,33,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,
55,56,58,62,64,65,66,67,68,69,72,73,76,78,111,113,114,115,116,117,118,119,120,
121,125,127,131,132,133,134,135,137,140,141,143,149,153,155,158,159,164,170,
171,173,189,190,191,192,193,194,197,198,200,201,202,203,204,205,206,207,208,
210,211,212,213,214,215,216,219,223,228,231,294,295,296,297,298,299,301,302,
306,308,309,310,311,315,317,329,335,341,342,346,350,358,359,362,363,372,379,
384,386,390,399,400,405,406,408,417,419,425,461,472,473,474,476,477,485,486,
487,608,617,624,640,644,676,677,733,735,740,743,747,748,937],[1,2,3,6,7,8,9,
10,11,12,13,15,16,17,26,27,28,29,30,31,32,33,36,39,40,41,42,43,44,45,47,48,49,
50,51,52,53,55,56,58,62,64,66,67,68,72,73,76,80,113,114,115,116,117,118,119,
120,121,131,132,133,134,135,190,191,192,193,194,198,200,201,202,203,205,207,
208,210,211,212,213,214,215,223,232,233,234,294,295,296,297,298,299,302,308,
309,310,311,384,465,466,467,468,495,504,677,721,728,729,938],[1,2,3,6,7,8,9,
10,11,12,13,15,16,17,26,27,28,29,30,31,32,33,36,39,40,41,42,43,44,45,47,48,49,
50,51,52,53,55,56,58,62,64,66,67,68,72,73,76,113,114,115,116,117,118,119,120,
121,131,132,133,134,135,152,153,154,155,158,159,160,163,164,167,168,169,190,
191,192,193,194,198,200,201,202,203,205,207,208,210,211,212,213,214,215,223,
294,295,296,297,298,299,302,308,309,310,311,372,373,374,375,376,377,378,379,
384,431,635,636,637,677,939],[1,2,3,6,7,10,11,12,15,16,17,18,26,27,32,36,41,
44,45,49,50,51,52,64,66,67,69,70,72,73,74,75,76,113,114,122,123,127,129,130,
133,135,140,141,152,153,156,159,164,165,166,167,170,171,174,200,202,203,205,
207,302,362,366,367,369,371,372,422,432,440,442,447,487,489,657,666,673,713,
714,715,716,940],[1,2,3,6,7,10,11,12,15,16,17,18,26,27,32,36,41,44,45,49,50,
51,52,64,66,67,69,70,71,72,73,74,76,113,114,122,123,127,128,129,133,134,138,
139,152,153,156,159,165,166,167,169,170,171,176,200,202,203,205,207,302,362,
364,366,367,371,373,420,434,439,444,448,491,492,654,663,675,711,712,717,718,
941],[1,2,3,6,7,8,9,10,11,12,15,16,17,18,27,28,29,30,32,34,36,39,40,41,44,45,
47,49,51,53,55,56,58,62,65,66,67,68,69,70,71,72,73,76,107,108,113,118,119,120,
125,127,128,131,134,135,137,140,143,152,153,154,157,159,160,161,162,164,168,
169,173,177,178,179,191,192,207,208,211,213,214,215,223,295,309,312,318,319,
320,321,331,347,363,365,372,376,377,380,381,419,454,456,485,486,604,623,658,
676,719,942],[1,2,3,6,7,8,10,11,12,13,15,16,17,18,26,27,29,31,32,33,36,41,42,
43,44,45,48,49,50,51,52,53,55,58,62,64,66,67,70,72,73,74,75,76,113,114,115,
116,117,121,122,129,130,133,134,135,138,139,152,153,155,156,159,163,164,165,
166,167,169,174,181,184,200,201,202,203,205,207,210,211,212,223,302,308,311,
323,328,329,333,335,345,367,369,371,372,373,375,383,420,432,440,491,492,600,
606,620,666,675,713,714,943],[1,2,3,6,7,8,10,11,12,13,15,16,17,18,26,27,29,31,
32,33,36,41,42,43,44,45,48,49,50,51,52,53,55,58,62,64,66,67,70,71,72,73,74,75,
76,113,114,115,116,117,121,128,129,130,133,135,144,145,152,153,155,156,159,
163,164,165,174,176,180,181,183,184,200,201,202,203,205,207,210,211,212,223,
302,308,311,323,328,329,333,335,345,364,367,369,372,375,382,383,423,442,447,
493,605,606,620,657,674,715,716,944],[1,2,3,6,7,8,9,10,11,12,15,16,17,18,26,
27,28,29,30,32,36,39,40,41,44,45,47,49,50,51,52,55,56,58,62,64,66,67,69,70,71,
72,73,76,113,114,115,118,119,120,123,127,128,133,134,135,140,141,152,153,154,
156,159,162,164,167,168,169,170,171,176,179,200,202,203,205,207,208,213,214,
215,223,302,309,310,324,330,331,332,334,347,362,364,366,372,373,374,381,422,
439,444,487,489,601,603,619,663,673,711,712,945],[1,2,3,6,7,8,10,11,12,13,15,
16,17,18,26,29,31,32,33,35,36,41,42,43,44,45,48,49,50,53,55,56,58,62,65,66,67,
68,70,72,73,74,75,76,109,110,114,116,117,121,124,129,130,131,134,135,136,138,
142,152,153,155,157,158,163,164,167,169,172,175,180,181,183,184,190,193,201,
205,210,211,212,213,223,294,308,313,314,315,316,317,328,345,368,370,373,378,
379,382,383,421,436,451,488,490,607,626,670,672,720,946],[1,2,3,6,7,8,9,10,11,
12,15,16,17,18,26,27,28,29,30,32,36,39,40,41,44,45,47,49,50,51,52,55,56,58,62,
64,66,67,69,70,71,72,73,75,76,113,114,115,118,119,120,127,128,130,133,134,144,
145,152,153,154,156,161,162,167,168,169,170,174,176,178,179,200,202,203,205,
207,208,213,214,215,223,302,309,310,324,330,331,332,334,347,362,364,369,373,
374,380,381,423,434,448,493,602,603,619,654,674,717,718,947],[1,2,3,6,7,8,9,
10,11,12,13,14,15,16,17,18,27,28,29,31,32,33,36,37,39,41,42,43,45,46,47,48,50,
51,52,53,55,56,59,60,62,63,65,66,67,68,70,72,73,75,76,112,113,115,116,117,118,
121,122,124,130,131,135,139,153,155,156,157,158,159,164,166,167,168,172,174,
175,185,188,190,191,192,195,198,200,202,204,208,209,210,211,214,215,220,222,
295,298,300,305,311,315,317,329,332,335,336,338,339,340,369,370,371,372,379,
410,412,433,437,441,480,600,616,624,641,665,668,714,948],[1,2,3,6,7,8,9,10,11,
12,13,15,16,17,18,27,28,29,31,32,33,36,39,41,42,43,45,47,48,49,51,52,53,55,56,
62,66,67,68,70,72,73,74,75,76,106,113,115,116,117,118,121,122,129,130,131,135,
142,152,153,154,155,156,158,159,164,165,166,167,174,181,184,185,190,191,192,
198,200,207,208,210,211,215,292,295,298,311,315,317,324,326,327,329,331,335,
367,369,371,372,379,383,409,411,434,437,439,470,606,613,624,642,667,668,713,
949],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,17,18,27,28,29,31,32,33,36,37,39,41,
42,43,45,46,47,48,50,51,52,53,55,56,57,58,61,62,65,66,67,68,70,72,73,74,75,76,
112,113,115,116,117,118,121,124,129,130,131,135,146,152,153,155,156,158,159,
164,165,169,172,174,177,181,182,184,185,186,187,190,191,192,198,200,202,204,
208,209,210,211,213,215,217,221,295,298,300,304,311,315,317,329,330,335,337,
343,349,351,367,368,369,372,379,383,415,416,435,443,449,482,606,615,624,646,
650,653,715,950],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,17,18,27,28,29,31,32,33,
36,37,39,41,42,43,45,46,47,48,50,51,52,53,55,56,59,60,61,62,63,65,66,67,68,70,
72,73,75,76,112,113,115,116,117,118,121,124,130,131,135,146,153,155,156,157,
158,159,164,174,175,177,180,182,183,185,188,190,191,192,195,198,200,202,204,
208,209,210,211,215,217,220,222,295,298,300,305,311,315,317,329,335,336,339,
340,343,349,369,370,372,379,382,415,416,444,446,448,482,605,616,624,646,651,
652,716,951],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,17,18,26,28,29,30,31,32,36,
37,38,39,40,41,42,44,47,48,50,51,52,53,56,58,59,60,61,62,63,65,66,67,68,70,71,
72,73,76,111,114,115,116,118,119,120,125,128,131,134,146,152,154,156,157,160,
161,167,169,175,176,177,178,182,190,191,193,195,196,198,200,201,202,204,206,
212,213,214,216,217,218,220,294,297,301,307,310,320,321,330,334,336,339,343,
344,348,364,365,373,377,380,414,415,432,445,447,483,602,618,622,647,648,656,
717,952],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,17,18,26,28,29,30,31,32,36,37,38,
39,40,41,42,44,47,48,50,51,52,53,54,55,56,58,62,63,65,66,67,68,69,70,71,72,73,
76,111,114,115,116,118,119,120,125,127,128,131,134,146,152,153,154,156,160,
162,164,167,169,170,173,175,176,179,182,189,190,191,193,197,198,200,201,202,
204,206,211,212,213,214,216,219,220,294,297,301,306,310,320,321,329,330,334,
339,342,348,350,362,363,364,373,377,381,414,415,433,449,450,483,603,617,622,
647,649,655,718,953],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,17,18,26,28,29,30,31,
32,36,37,38,39,40,41,42,44,47,48,50,51,52,53,56,58,59,60,61,62,65,66,67,68,70,
71,72,73,76,111,114,115,116,118,119,120,123,125,128,131,134,141,152,154,156,
157,159,160,163,167,169,171,173,176,177,190,191,193,195,196,198,200,201,202,
204,206,210,212,213,214,216,217,218,294,297,301,307,310,320,321,330,333,334,
336,341,343,344,364,365,366,373,377,404,406,441,443,459,475,601,618,622,639,
661,662,712,954],[1,2,3,6,7,8,9,10,11,12,13,15,16,17,18,26,28,29,30,31,32,36,
39,40,41,42,44,47,48,49,50,52,53,56,58,62,66,67,68,69,70,71,72,73,76,105,114,
115,116,118,119,120,123,127,128,131,134,143,152,153,154,155,156,159,160,162,
167,169,170,171,176,179,190,191,193,198,201,202,205,206,212,213,214,293,294,
297,310,320,321,323,325,328,330,334,346,362,364,366,373,377,381,405,407,440,
442,459,473,603,614,622,638,661,664,711,955],[1,2,3,6,7,8,9,10,11,12,13,14,15,
16,17,18,28,29,31,32,33,35,36,37,39,41,42,43,45,46,47,48,51,52,53,55,56,57,58,
59,60,62,63,64,65,66,67,70,72,73,74,75,76,109,110,112,116,117,118,121,124,129,
130,133,135,139,142,154,155,157,158,159,160,163,164,166,169,172,175,180,181,
183,184,186,187,188,190,191,194,195,198,200,210,211,213,214,215,220,221,222,
296,298,304,305,313,316,317,321,333,335,338,354,355,356,368,370,375,378,382,
383,413,418,438,452,453,471,478,607,625,627,645,669,671,720,956],[1,2,3,6,7,8,
9,10,11,12,13,14,15,16,17,18,28,29,30,31,32,34,36,37,38,39,40,41,42,44,47,48,
50,52,53,54,55,56,58,59,60,61,62,64,65,66,67,69,70,71,72,73,76,107,108,111,
116,118,119,120,125,127,128,133,134,141,143,154,155,157,158,160,161,162,164,
167,168,169,171,173,177,178,179,189,190,191,194,195,196,197,198,202,210,211,
212,213,214,217,218,219,296,297,306,307,312,317,319,321,322,332,334,341,352,
353,363,365,374,376,380,381,408,417,455,457,458,474,477,604,621,628,644,659,
660,719,957],[1,2,3,6,7,8,9,10,11,12,15,16,17,27,28,29,30,32,34,36,39,40,41,
44,45,47,49,51,53,55,56,58,62,66,67,68,73,74,76,80,107,108,113,118,119,120,
129,131,134,152,154,160,165,168,169,191,192,207,208,211,213,214,215,223,232,
233,234,295,309,312,318,319,320,321,331,347,367,376,377,435,466,467,495,623,
650,729,770,778,958],[1,2,3,6,7,8,10,11,12,13,15,16,17,18,26,29,31,32,33,35,
36,41,42,43,44,45,48,49,50,53,55,56,58,62,66,68,70,71,72,73,76,80,109,110,114,
116,117,121,128,131,135,153,155,156,158,163,164,176,190,193,201,205,210,211,
212,213,223,232,233,234,294,308,313,314,315,316,317,328,345,364,378,379,445,
465,468,495,626,648,728,772,773,959],[1,2,3,6,7,8,9,10,11,12,15,16,17,18,27,
28,29,30,32,34,36,39,40,41,44,45,47,49,51,53,55,56,58,62,66,67,68,70,73,75,76,
80,107,108,113,118,119,120,130,131,134,152,154,156,160,168,169,174,191,192,
207,208,211,213,214,215,223,232,233,234,295,309,312,318,319,320,321,331,347,
369,376,377,446,466,467,495,623,651,729,775,776,960],[1,2,3,6,7,8,10,11,12,13,
15,16,17,26,29,31,32,33,35,36,41,42,43,44,45,48,49,50,53,55,56,58,62,66,68,69,
72,73,76,80,109,110,114,116,117,121,127,131,135,153,155,158,163,164,170,190,
193,201,205,210,211,212,213,223,232,233,234,294,308,313,314,315,316,317,328,
345,362,378,379,450,465,468,495,626,649,728,769,779,961],[1,2,3,6,7,8,9,10,11,
12,13,15,16,17,26,27,28,29,31,32,33,36,39,41,42,43,44,45,47,48,49,50,51,52,53,
54,55,56,58,62,64,65,66,67,68,69,72,73,76,78,79,113,114,115,116,117,118,121,
123,125,127,131,132,133,134,135,137,140,141,143,148,149,153,155,158,159,163,
164,170,171,173,189,190,191,192,198,200,201,202,203,205,206,207,208,210,211,
212,215,223,225,227,228,231,295,298,302,308,311,315,317,323,328,329,333,335,
342,345,346,350,362,363,366,372,375,378,379,384,395,396,399,400,401,404,405,
406,407,408,417,419,422,425,427,461,462,472,473,474,475,476,477,485,486,487,
489,620,624,629,637,640,673,676,725,726,727,730,733,747,748,749,750,762,763,
962],[1,2,3,6,7,8,9,10,11,12,13,15,16,17,26,27,28,29,30,31,32,36,39,40,41,42,
44,45,47,48,49,50,51,52,53,55,56,57,58,62,64,65,66,67,68,72,73,74,76,77,79,
113,114,115,116,118,119,120,122,124,129,131,132,133,134,135,136,138,139,142,
147,150,152,154,160,165,166,167,168,169,172,185,186,190,191,193,198,200,201,
202,203,205,207,208,212,213,214,215,223,226,227,229,230,294,297,302,309,310,
320,321,324,327,330,331,332,334,337,347,351,367,368,371,373,374,376,377,384,
393,394,397,398,402,409,410,411,412,413,418,420,421,424,426,460,463,469,470,
471,478,479,480,488,490,491,492,619,622,630,636,643,672,675,722,723,724,731,
732,751,752,753,754,760,761,963],[1,2,3,6,7,8,10,11,12,13,14,15,16,17,18,26,
27,29,31,32,33,36,37,41,42,43,44,45,46,48,49,50,51,52,53,55,58,59,60,62,63,64,
65,66,67,70,72,75,76,79,106,112,113,114,115,116,117,121,122,124,130,133,135,
147,153,155,156,157,159,163,164,166,167,174,175,185,188,195,200,201,202,203,
204,205,207,209,210,211,212,220,222,223,227,229,292,300,302,305,308,311,323,
324,327,328,329,333,335,336,339,340,345,369,370,371,372,375,387,389,424,432,
433,434,439,440,441,609,613,616,620,665,666,667,689,690,691,692,964],[1,2,3,6,
7,8,10,11,12,13,14,15,16,17,18,26,27,29,31,32,33,36,37,38,41,42,43,44,45,46,
48,49,50,51,52,53,55,56,57,58,59,60,62,63,64,65,66,67,70,72,73,74,75,76,79,
111,112,113,114,115,116,117,121,124,125,126,129,130,133,135,151,152,153,155,
156,157,159,163,164,165,169,172,174,175,185,186,187,188,195,199,200,201,202,
203,204,205,206,207,209,210,211,212,213,216,220,221,222,223,224,225,227,229,
300,301,302,303,304,305,308,311,323,328,329,330,333,335,336,337,339,340,345,
351,367,368,369,370,372,375,389,391,392,428,429,442,443,444,447,448,449,612,
615,616,620,652,653,657,681,682,684,686,965],[1,2,3,6,7,8,9,10,11,12,14,15,16,
17,18,26,27,28,29,30,32,36,37,38,39,40,41,44,45,46,47,49,50,51,52,53,54,55,56,
58,59,60,61,62,64,65,66,67,69,70,71,72,73,76,79,111,112,113,114,115,118,119,
120,124,125,126,127,128,133,134,151,152,153,154,156,157,164,167,168,169,170,
173,176,177,185,189,195,196,197,199,200,202,203,204,205,206,207,208,209,211,
213,214,215,216,217,218,219,223,224,225,227,229,300,301,302,303,306,307,309,
310,324,329,330,331,332,334,336,342,343,344,347,350,362,363,364,365,373,374,
389,391,392,428,429,432,433,434,447,448,449,612,617,618,619,654,655,656,682,
683,685,692,966],[1,2,3,6,7,8,9,10,11,12,14,15,16,17,18,27,28,29,30,32,34,36,
37,38,39,40,41,44,45,47,49,51,53,54,55,56,58,59,60,61,62,66,67,68,69,70,71,73,
76,78,107,108,111,113,118,119,120,127,128,131,134,149,152,154,160,161,162,168,
169,178,179,189,191,192,195,196,197,207,208,211,213,214,215,217,218,219,223,
228,231,295,306,307,309,312,318,319,320,321,322,331,347,352,353,376,377,380,
381,386,390,425,454,455,456,457,608,623,628,658,660,698,699,700,701,967],[1,2,
3,6,7,8,10,11,12,13,14,15,16,17,18,26,29,31,32,33,35,36,37,41,42,43,44,45,46,
48,49,50,53,55,56,57,58,59,60,62,63,66,68,70,72,73,74,75,76,77,109,110,112,
114,116,117,121,129,130,131,135,150,153,155,158,163,164,180,181,183,184,186,
187,188,190,193,195,201,205,210,211,212,213,220,221,222,223,226,230,294,304,
305,308,313,314,315,316,317,328,345,354,355,356,378,379,382,383,385,388,426,
436,438,451,452,611,626,627,670,671,679,694,695,696,968],[1,2,3,6,7,8,9,10,11,
12,14,15,16,17,18,26,27,28,29,30,32,36,37,38,39,40,41,44,45,47,49,50,51,52,55,
56,58,59,60,61,62,64,65,67,70,71,72,73,76,79,105,111,113,114,115,118,119,120,
123,125,128,133,134,148,152,154,156,157,159,167,168,169,171,176,177,195,196,
200,202,203,204,205,206,207,208,213,214,215,216,217,218,223,225,227,293,301,
302,307,309,310,323,324,330,331,332,334,336,343,344,346,347,364,365,366,373,
374,387,391,427,439,440,441,442,443,444,610,614,618,619,662,663,664,686,687,
688,689,969],[1,2,3,6,7,10,11,12,13,15,16,17,18,26,31,32,36,41,42,44,48,50,53,
54,55,56,58,62,66,68,69,70,72,73,75,78,114,116,127,130,131,137,140,143,149,
153,155,158,164,170,173,180,183,189,190,193,201,206,210,211,213,228,231,294,
317,350,358,359,362,382,399,400,419,425,436,450,451,473,477,649,670,743,765,
785,970],[1,2,3,6,7,9,10,11,12,15,16,17,18,27,28,32,36,39,41,45,47,51,53,55,
56,57,58,62,66,67,68,70,71,73,74,77,113,118,128,129,131,136,138,142,150,152,
154,160,161,165,169,172,178,185,186,191,192,208,211,213,214,226,230,295,321,
351,357,360,367,380,397,398,421,426,435,454,456,470,478,650,658,745,767,786,
971],[1,2,3,6,7,10,11,12,13,15,16,17,18,26,31,32,36,41,42,44,48,50,53,54,55,
56,58,62,66,68,69,70,71,72,73,75,78,114,116,127,128,130,131,137,140,143,149,
155,156,158,164,170,173,176,180,183,189,190,193,201,206,210,211,213,228,231,
294,317,350,358,359,364,382,399,400,419,425,436,445,451,473,477,648,670,743,
766,787,972],[1,2,3,6,7,9,10,11,12,15,16,17,18,27,28,32,36,39,41,45,47,51,53,
55,56,57,58,62,66,67,68,70,71,73,74,75,77,113,118,128,129,130,131,136,138,142,
150,154,156,160,161,165,169,172,174,178,185,186,191,192,208,211,213,214,226,
230,295,321,351,357,360,369,380,397,398,421,426,446,454,456,470,478,651,658,
745,764,788,973],[1,2,3,6,7,9,10,11,12,13,14,15,16,18,28,31,32,36,37,39,41,42,
47,48,50,51,52,61,62,63,64,65,67,70,71,72,75,79,116,118,126,128,130,133,144,
145,151,156,161,175,177,178,180,183,194,199,204,210,214,217,220,225,229,296,
339,343,361,380,382,403,423,428,453,458,484,659,669,746,768,789,974],[1,2,3,6,
7,10,11,12,13,15,16,17,18,26,31,32,36,41,42,44,48,49,50,56,58,66,68,69,70,72,
73,75,80,105,114,116,123,127,130,131,143,153,155,170,180,183,190,193,201,205,
206,213,232,233,234,293,294,325,328,362,382,405,407,436,451,465,468,473,495,
638,670,728,780,784,975],[1,2,3,6,7,9,10,11,12,14,15,16,17,18,27,28,32,36,37,
39,41,45,46,47,50,51,52,53,55,62,65,66,67,68,70,71,73,80,112,113,118,122,124,
128,131,139,161,166,167,168,172,178,185,191,192,202,204,208,209,211,214,232,
233,234,295,300,332,338,371,380,410,412,454,456,466,467,480,495,641,658,729,
771,782,976],[1,2,3,6,7,9,10,11,12,15,16,17,18,27,28,32,36,39,41,45,47,49,51,
53,55,66,67,68,70,71,73,74,80,106,113,118,122,128,129,131,142,152,154,161,165,
178,185,191,192,207,208,211,232,233,234,292,295,326,331,367,380,409,411,454,
456,466,467,470,495,642,658,729,777,781,977],[1,2,3,6,7,10,11,12,13,14,15,16,
17,18,26,31,32,36,37,38,41,42,44,48,50,51,52,56,58,62,65,66,68,70,72,73,75,80,
111,114,116,123,125,130,131,141,159,163,171,173,180,183,190,193,200,201,204,
206,210,213,216,232,233,234,294,301,333,341,366,382,404,406,436,451,465,468,
475,495,639,670,728,774,783,978],[1,2,3,6,7,9,10,11,12,15,16,17,27,28,32,36,
39,41,45,47,51,53,55,56,57,58,62,65,66,67,68,69,72,73,74,76,77,80,113,118,125,
127,129,131,135,136,137,138,140,142,143,150,153,154,159,160,164,165,169,172,
173,185,186,191,192,208,211,213,214,226,230,232,233,234,295,321,351,357,360,
363,372,397,398,419,421,426,466,467,470,478,485,486,495,500,503,676,729,745,
793,799,979],[1,2,3,6,7,10,11,12,13,15,16,17,26,31,32,36,41,42,44,48,50,53,54,
55,56,58,62,65,66,67,68,69,72,73,74,76,78,80,114,116,124,127,129,131,134,136,
137,138,140,142,143,149,152,155,158,164,167,169,170,172,173,189,190,193,201,
206,210,211,213,228,231,232,233,234,294,317,350,358,359,368,373,399,400,419,
421,425,465,468,473,477,488,490,495,501,502,672,728,743,793,800,980],[1,2,3,6,
7,9,10,11,12,14,15,16,17,27,28,32,36,37,38,39,41,45,47,51,53,54,55,56,57,58,
62,66,67,68,69,73,74,77,78,80,111,113,118,127,129,131,136,138,142,149,150,154,
160,165,169,172,185,186,189,191,192,197,208,211,213,214,219,226,228,230,231,
232,233,234,235,236,237,238,295,306,321,351,357,360,386,390,397,398,421,425,
426,466,467,470,478,495,496,497,498,499,501,502,505,608,729,745,756,758,796,
797,798,800,981],[1,2,3,6,7,10,11,12,13,14,15,16,17,26,31,32,36,37,41,42,44,
46,48,50,53,54,55,56,57,58,62,66,68,69,72,73,74,77,78,80,112,114,116,127,129,
131,137,140,143,149,150,155,158,164,170,173,186,187,189,190,193,201,206,210,
211,213,221,226,228,230,231,232,233,234,235,236,237,238,294,304,317,350,358,
359,385,388,399,400,419,425,426,465,468,473,477,495,496,497,498,499,500,503,
505,611,728,743,757,759,794,795,798,799,982],[1,2,3,7,8,10,11,13,14,15,16,17,
18,31,36,37,38,42,43,46,56,57,58,60,62,63,66,68,70,72,74,75,77,78,79,80,109,
111,140,148,149,155,163,171,173,176,180,182,184,187,190,193,210,220,221,222,
226,230,234,235,238,316,341,348,354,388,399,401,438,445,451,459,468,496,503,
597,693,695,757,766,772,774,983],[1,2,3,7,8,13,14,15,17,18,26,31,43,46,57,58,
60,63,66,74,75,77,78,80,105,109,137,149,158,170,180,184,187,201,222,230,234,
235,238,314,325,354,385,400,436,450,452,465,496,500,596,680,696,759,765,769,
780,984],[1,2,3,6,8,9,10,11,14,15,16,17,18,28,32,37,38,39,40,46,53,54,55,60,
61,62,67,68,69,70,71,73,77,78,79,80,107,112,138,147,150,154,161,166,168,172,
174,179,182,191,192,197,214,217,218,219,228,231,232,236,238,319,338,349,352,
390,397,402,437,446,455,456,467,497,502,599,697,700,756,764,771,776,985],[1,2,
3,6,8,9,11,14,17,18,27,28,38,40,54,55,60,61,69,71,73,77,78,80,106,107,136,150,
160,161,165,179,197,208,218,228,232,236,238,318,326,352,386,398,435,454,457,
466,497,501,598,678,699,758,767,770,777,986],[1,2,3,6,7,8,10,12,14,16,17,18,
29,37,41,50,51,52,59,60,64,65,66,67,68,70,72,73,76,79,80,115,126,131,132,133,
134,135,144,145,146,151,156,157,182,195,199,204,225,229,232,233,234,336,384,
415,423,428,431,464,481,494,495,504,635,721,734,801,802,987],[1,2,3,6,7,10,11,
12,13,14,15,16,17,18,26,31,33,36,41,44,45,46,48,49,50,53,54,55,57,58,59,62,63,
66,72,74,75,76,77,80,105,114,121,123,135,140,141,163,164,170,173,180,181,187,
188,189,201,205,206,210,211,212,223,230,234,236,237,293,308,325,345,350,356,
359,385,436,438,450,465,475,476,489,498,503,679,680,738,779,780,785,794,988],[
1,2,3,6,7,9,10,11,12,13,14,15,16,17,18,28,30,31,32,37,38,39,41,42,44,46,47,48,
50,52,53,54,55,56,57,58,59,61,62,67,68,69,70,71,73,74,76,78,80,112,116,120,
129,134,136,142,152,160,161,162,166,172,174,182,186,187,191,192,196,197,198,
202,212,213,214,217,219,221,228,231,232,235,237,297,304,320,322,337,338,349,
357,390,437,446,456,457,467,469,478,488,499,501,697,698,737,771,775,788,796,
989],[1,2,3,6,7,9,10,11,12,13,14,15,16,17,18,28,31,33,36,37,38,39,41,42,45,46,
47,48,51,52,53,54,55,56,57,58,59,62,63,66,68,69,70,72,74,75,76,77,80,111,118,
121,127,135,137,143,153,158,171,173,176,180,181,182,187,188,189,190,193,197,
198,200,210,211,215,219,220,221,226,230,234,236,237,298,306,315,341,342,348,
356,358,388,445,451,452,459,468,472,477,485,498,500,693,694,735,773,774,787,
795,990],[1,2,3,6,7,9,10,11,12,14,15,16,17,18,27,28,30,32,38,41,44,45,47,49,
51,54,55,56,57,58,59,61,62,67,69,71,73,76,78,80,106,113,120,122,134,138,139,
161,162,165,168,169,172,185,186,196,197,207,208,213,214,215,223,228,232,235,
237,292,309,322,326,347,351,360,386,435,454,455,466,479,480,492,499,502,678,
701,736,777,778,786,797,991],[1,2,3,6,7,9,10,11,12,13,14,15,16,17,18,26,27,28,
31,32,36,37,39,41,42,47,48,49,50,51,52,54,55,57,58,61,62,63,64,65,66,67,70,72,
73,79,116,118,122,123,124,125,126,133,138,139,140,141,144,145,147,148,151,152,
153,154,155,156,159,163,166,167,168,171,172,173,175,177,185,186,189,194,199,
200,201,202,203,204,205,206,207,208,209,210,214,216,217,220,224,225,227,229,
296,327,328,331,332,333,337,339,342,343,346,359,360,361,387,389,391,392,401,
402,403,420,422,423,424,427,428,429,430,432,433,434,439,440,441,442,443,444,
447,448,449,471,474,475,480,484,681,683,684,685,687,688,690,691,710,742,744,
746,790,791,792,992],[1,2,3,6,7,8,10,11,12,14,15,16,17,18,26,27,29,32,36,37,
41,49,50,51,52,53,55,56,58,59,60,64,65,66,67,68,70,72,73,76,79,115,122,123,
124,125,126,131,132,133,134,135,138,139,140,141,142,143,144,145,146,147,148,
151,152,153,156,157,159,164,165,167,169,170,172,173,182,185,195,199,200,202,
203,204,205,206,207,209,211,213,216,224,225,227,229,323,324,329,330,336,384,
387,389,391,392,405,406,409,410,415,420,422,423,424,427,428,429,430,432,433,
434,439,440,441,442,443,444,447,448,449,462,463,464,476,479,481,486,489,490,
492,494,682,686,689,692,706,707,708,709,710,730,732,734,790,791,792,993],[1,2,
3,6,7,9,10,11,12,14,15,16,17,18,28,30,32,38,39,41,44,47,53,54,55,56,58,59,61,
64,65,67,68,69,70,71,72,73,76,77,78,80,120,124,133,134,138,139,142,146,150,
152,154,160,161,162,166,167,168,169,172,174,177,191,192,196,197,213,219,228,
231,232,236,238,320,322,374,390,394,397,412,413,416,420,437,446,456,457,460,
467,490,497,502,698,705,723,756,764,775,782,994],[1,2,3,6,7,10,12,13,14,15,16,
17,18,26,31,33,41,45,46,48,49,50,57,58,59,63,66,68,72,73,74,75,76,77,78,80,
121,123,131,135,137,140,141,143,149,153,155,158,163,164,170,180,181,187,188,
201,205,230,234,235,238,345,356,379,385,396,400,405,407,419,436,438,450,461,
465,489,496,500,679,702,725,759,765,779,784,995],[1,2,3,6,7,10,11,12,13,14,15,
16,17,18,31,33,36,41,42,45,46,48,53,55,56,57,58,59,63,64,65,66,67,68,70,72,74,
75,76,77,78,80,121,125,133,135,140,141,143,146,149,153,155,158,159,163,164,
171,173,175,176,180,181,187,188,190,193,211,221,226,230,234,235,238,315,356,
375,388,396,399,404,408,414,422,445,451,452,459,461,468,486,496,503,694,703,
726,757,766,773,783,996],[1,2,3,6,7,9,10,11,12,14,16,17,18,27,28,30,38,41,44,
47,49,51,54,55,59,61,66,67,68,69,71,73,76,77,78,80,120,122,131,134,136,138,
139,142,150,152,154,160,161,162,165,168,169,196,197,207,208,228,232,236,238,
322,347,377,386,394,398,409,411,421,435,454,455,460,466,492,497,501,701,704,
722,758,767,778,781,997],[1,2,3,7,8,10,11,13,14,15,16,17,18,31,36,42,43,46,54,
56,57,58,60,62,63,65,66,68,70,72,74,75,77,80,109,125,137,141,146,155,163,171,
175,176,180,184,187,189,190,193,210,221,222,226,230,234,236,237,316,354,358,
388,395,404,414,438,445,451,459,468,474,498,500,633,695,703,772,783,787,795,
998],[1,2,3,6,8,9,10,11,14,15,16,17,18,28,32,38,39,40,53,54,55,57,60,61,62,65,
67,68,69,70,71,73,78,80,107,124,136,139,146,154,161,166,168,174,177,179,186,
191,192,197,214,218,219,228,231,232,235,237,319,352,357,390,393,412,416,437,
446,455,456,467,471,499,501,631,700,705,776,782,788,796,999],[1,2,3,6,8,9,10,
11,14,15,16,17,18,27,28,32,38,40,51,53,54,55,57,60,61,62,67,69,71,73,74,78,80,
107,122,129,138,139,142,154,160,161,165,168,172,179,185,186,191,197,208,214,
218,228,232,235,237,318,319,352,360,386,394,411,418,435,454,457,466,470,478,
480,499,502,632,699,704,770,781,786,797,1000],[1,2,3,7,8,10,11,13,14,15,16,17,
18,26,31,36,43,46,50,54,56,57,58,60,62,63,66,69,72,74,75,77,80,109,123,127,
140,141,143,155,158,163,170,173,180,184,187,189,190,201,206,210,222,230,234,
236,237,314,316,354,359,385,396,407,417,436,450,452,465,473,475,477,498,503,
634,696,702,769,784,785,794,1001],[1,2,3,6,7,8,10,11,12,15,16,17,29,32,36,41,
50,51,52,53,54,55,56,57,58,64,66,67,68,69,72,73,74,76,77,78,80,115,127,129,
131,132,133,134,135,136,137,138,139,140,141,142,143,149,150,152,153,164,166,
169,171,172,173,186,189,200,202,211,213,226,228,230,231,232,233,234,235,236,
237,238,329,330,384,408,413,419,421,425,426,460,461,469,472,485,487,488,491,
495,496,497,498,499,500,501,502,503,504,505,721,731,733,793,798,799,800,
1002],[1,2,4,5,7,23,26,81,83,89,93,105,264,507,515,522,1003],[1,2,4,5,6,23,27,
81,84,86,94,106,263,506,514,523,1004],[1,2,3,4,5,6,7,8,10,12,24,29,41,81,83,
84,85,87,90,95,115,274,508,516,517,524,1005],[1,2,3,4,5,7,8,13,15,23,24,31,43,
81,83,85,87,89,90,92,93,95,109,270,272,507,508,518,521,527,530,1006],[1,2,3,4,
5,6,8,9,11,23,24,28,40,81,84,85,86,87,88,90,94,95,107,275,276,506,508,519,520,
525,529,1007],[1,2,3,4,5,6,7,11,12,15,16,17,20,21,22,23,44,45,49,55,58,62,76,
81,83,89,93,94,96,98,99,100,102,223,239,241,247,254,259,271,279,280,284,285,
287,288,289,507,509,557,583,804,806,808,1008],[1,2,3,4,5,6,7,11,12,15,16,17,
20,21,22,23,44,45,49,55,58,62,76,81,84,86,93,94,96,98,99,100,102,223,239,241,
246,253,261,267,279,280,284,285,287,288,289,506,509,551,583,803,805,807,
1009],[1,19,291,1010],[1,2,3,7,15,17,19,26,31,58,66,82,105,170,201,325,811,
1011],[1,2,3,6,11,17,19,27,28,55,73,82,106,165,208,326,812,1012],[1,2,4,6,7,
16,20,25,49,83,84,243,246,247,1013],[1,3,4,8,14,18,21,25,60,85,91,243,250,258,
1014],[1,3,4,8,14,18,21,25,60,90,91,243,250,260,1015],[1,2,4,7,23,25,26,83,
243,264,585,1016],[1,2,4,6,23,25,27,84,243,263,584,1017],[1,3,5,13,24,25,35,
92,244,277,586,1018],[1,3,5,9,24,25,34,88,244,278,587,1019],[1,3,4,5,8,19,22,
24,81,82,85,87,90,95,104,240,290,508,588,1020],[1,2,3,4,6,7,8,10,12,13,15,27,
29,31,32,33,35,41,42,43,45,48,83,90,109,110,113,115,116,117,121,311,313,517,
521,594,1021],[1,2,3,4,6,7,8,9,10,11,12,26,28,29,30,34,36,39,40,41,44,47,84,
85,107,108,114,115,118,119,120,310,312,516,520,595,1022],[1,2,3,5,7,8,13,15,
17,26,31,43,58,66,78,87,89,92,105,109,137,149,158,170,201,314,325,400,515,518,
535,596,1023],[1,2,3,5,6,8,9,11,17,27,28,40,55,73,77,86,87,88,106,107,136,150,
160,165,208,318,326,398,514,519,536,598,1024],[1,2,3,4,6,7,8,10,12,13,15,23,
27,29,31,32,33,35,41,42,43,45,48,84,85,93,109,110,113,115,116,117,121,263,267,
272,311,313,516,530,532,594,826,1025],[1,2,3,4,6,7,8,9,10,11,12,23,26,28,29,
30,34,36,39,40,41,44,47,83,90,94,107,108,114,115,118,119,120,264,271,276,310,
312,517,529,533,595,825,1026],[1,2,3,5,6,7,8,10,12,13,15,24,27,29,31,32,33,35,
41,42,43,45,48,87,89,92,95,109,110,113,115,116,117,121,269,270,274,277,311,
313,518,524,527,528,594,827,1027],[1,2,3,5,6,7,8,9,10,11,12,24,26,28,29,30,34,
36,39,40,41,44,47,86,87,88,95,107,108,114,115,118,119,120,273,274,275,278,310,
312,519,524,525,526,595,828,1028],[1,2,3,5,6,8,9,11,17,24,27,28,40,55,73,77,
86,95,106,107,136,150,160,165,208,275,318,326,398,514,525,598,844,1029],[1,2,
3,4,6,8,9,11,17,23,27,28,40,55,73,77,84,85,94,106,107,136,150,160,165,208,263,
318,326,398,520,523,598,845,1030],[1,2,3,5,7,8,13,15,17,24,26,31,43,58,66,78,
89,95,105,109,137,149,158,170,201,270,314,325,400,515,527,596,842,1031],[1,2,
3,4,7,8,13,15,17,23,26,31,43,58,66,78,83,90,93,105,109,137,149,158,170,201,
264,314,325,400,521,522,596,843,1032],[1,2,3,4,6,8,9,11,17,23,27,28,40,55,73,
77,84,90,94,106,107,136,150,160,165,208,263,276,281,318,326,398,523,529,577,
598,1033],[1,2,3,4,6,8,9,10,11,14,15,16,17,23,28,32,37,40,46,53,62,67,73,77,
79,90,91,94,107,112,138,147,150,154,166,168,172,191,214,265,268,276,281,283,
319,338,397,402,529,534,577,579,599,1034],[1,2,3,4,7,8,13,15,17,23,26,31,43,
58,66,78,83,85,93,105,109,137,149,158,170,201,264,272,282,314,325,400,522,530,
576,596,1035],[1,2,3,4,7,8,10,11,13,14,15,16,17,23,31,36,37,38,43,56,62,66,72,
78,79,85,91,93,109,111,140,148,149,155,163,171,173,190,210,265,266,272,282,
283,316,341,399,401,530,531,576,578,597,1036],[1,2,3,4,6,7,8,9,10,11,12,15,16,
17,20,21,23,26,27,28,29,30,32,36,39,40,41,44,45,47,49,50,51,52,55,56,58,62,64,
67,72,73,76,83,90,100,113,114,115,118,119,120,133,134,152,154,167,168,169,200,
202,203,205,207,208,213,214,215,223,247,249,254,264,271,276,302,309,310,324,
330,331,332,334,347,373,374,517,546,557,619,814,817,825,1037],[1,2,3,4,6,7,8,
9,10,11,12,14,16,18,21,23,26,28,29,30,36,37,38,39,40,41,44,47,50,51,52,59,60,
61,65,70,71,72,83,90,98,111,114,115,118,119,120,125,128,156,157,176,177,195,
196,200,204,206,216,217,218,249,260,264,271,276,301,307,310,336,343,344,364,
365,517,542,558,618,818,825,1038],[1,2,3,4,6,7,8,9,10,11,12,13,15,16,17,21,23,
26,28,29,30,31,32,36,39,40,41,42,44,47,48,50,52,53,56,58,62,66,67,68,73,76,83,
90,99,114,115,116,118,119,120,131,134,152,154,160,167,169,190,191,193,198,201,
202,212,213,214,249,254,264,271,276,294,297,310,320,321,330,334,373,377,517,
547,548,622,817,825,1039],[1,2,3,4,6,7,8,10,12,13,14,15,16,18,21,23,27,29,31,
32,33,37,41,42,43,45,46,48,50,51,52,59,60,63,65,67,70,75,84,85,99,112,113,115,
116,117,121,124,130,156,157,174,175,185,188,195,202,204,209,220,222,248,258,
263,267,272,300,305,311,336,339,340,369,370,516,543,552,616,816,826,1040],[1,
2,3,4,6,7,8,10,11,12,13,15,16,17,20,21,23,26,27,29,31,32,33,36,41,42,43,44,45,
48,49,50,51,52,53,55,58,62,64,66,67,72,76,84,85,100,113,114,115,116,117,121,
133,135,153,155,159,163,164,200,201,202,203,205,207,210,211,212,223,246,248,
253,263,267,272,302,308,311,323,328,329,333,335,345,372,375,516,541,551,620,
813,815,826,1041],[1,2,3,4,6,7,8,9,10,11,12,13,15,16,17,21,23,27,28,29,31,32,
33,36,39,41,42,43,45,47,48,51,52,53,55,56,62,66,68,72,73,76,84,85,98,113,115,
116,117,118,121,131,135,153,155,158,159,164,190,191,192,198,200,208,210,211,
215,248,253,263,267,272,295,298,311,315,317,329,335,372,379,516,537,538,624,
815,826,1042],[1,2,3,5,6,7,8,9,10,11,12,14,17,18,22,24,28,29,30,34,36,37,38,
39,40,41,44,47,53,54,55,59,60,61,66,69,70,71,86,87,88,101,107,108,111,118,119,
120,127,128,161,162,178,179,189,195,196,197,211,217,218,219,256,257,261,273,
274,275,278,306,307,312,322,352,353,380,381,519,553,554,555,628,824,828,
1043],[1,2,3,5,6,7,8,10,12,13,14,15,17,18,22,24,29,31,32,33,35,37,41,42,43,45,
46,48,56,57,58,59,60,63,70,73,74,75,87,89,92,101,109,110,112,116,117,121,129,
130,180,181,183,184,186,187,188,195,213,220,221,222,257,259,262,269,270,274,
277,304,305,313,354,355,356,382,383,518,553,559,560,627,822,827,1044],[1,2,3,
4,6,11,14,17,23,27,28,38,54,55,69,73,78,84,91,94,106,165,197,208,228,263,266,
282,326,386,435,523,678,830,1045],[1,2,3,4,7,14,15,17,23,26,31,46,57,58,66,74,
77,83,91,93,105,170,187,201,230,264,268,281,325,385,450,522,680,831,1046],[1,
2,3,4,6,7,8,9,10,11,12,17,18,23,26,28,29,30,36,39,40,41,44,47,66,69,70,71,83,
90,96,114,115,118,119,120,127,128,153,156,162,170,176,179,264,271,276,310,362,
364,381,517,565,572,603,825,1047],[1,2,3,4,6,7,8,10,12,13,15,17,18,23,27,29,
31,32,33,41,42,43,45,48,70,73,74,75,84,85,96,113,115,116,117,121,129,130,152,
156,165,174,181,184,263,267,272,311,367,369,383,516,564,571,606,826,1048],[1,
2,3,5,6,7,8,9,10,11,12,16,17,18,24,28,29,30,34,36,39,40,41,44,47,65,66,69,70,
71,72,86,87,88,97,107,108,118,119,120,125,127,128,157,161,162,164,173,177,178,
179,273,274,275,278,312,363,365,380,381,519,569,570,573,604,828,1049],[1,2,3,
5,6,7,8,10,12,13,15,16,17,18,24,29,31,32,33,35,41,42,43,45,48,65,67,70,73,74,
75,87,89,92,97,109,110,116,117,121,124,129,130,157,169,172,175,180,181,183,
184,269,270,274,277,313,368,370,382,383,518,567,568,573,607,827,1050],[1,2,3,
4,7,14,15,17,23,26,31,46,57,58,66,74,77,78,80,83,91,96,137,149,158,170,187,
201,230,234,235,238,264,268,281,385,400,465,496,500,565,581,759,831,1051],[1,
2,3,4,6,11,14,17,23,27,28,38,54,55,69,73,77,78,80,84,91,96,136,150,160,165,
197,208,228,232,236,238,263,266,282,386,398,466,497,501,564,580,758,830,
1052],[1,2,3,4,6,7,10,11,12,13,14,15,17,23,26,31,32,36,37,41,42,44,46,48,56,
57,58,66,68,73,74,77,83,91,94,112,114,116,129,131,150,186,187,190,193,201,213,
221,226,230,264,265,268,271,281,294,304,385,388,426,533,534,577,611,831,
1053],[1,2,3,4,6,7,9,10,11,12,14,15,17,23,27,28,32,36,37,38,39,41,45,47,53,54,
55,66,68,69,73,78,84,91,93,111,113,118,127,131,149,189,191,192,197,208,211,
219,228,231,263,265,266,267,282,295,306,386,390,425,531,532,576,608,830,
1054],[1,2,3,4,6,7,10,11,12,14,15,16,23,26,27,32,36,37,38,41,44,45,49,50,51,
52,64,65,67,72,79,83,84,91,93,105,111,113,114,123,125,133,148,200,202,203,204,
205,206,207,216,225,227,263,264,265,266,267,283,293,301,302,387,391,427,522,
531,532,578,610,829,1055],[1,2,3,4,6,7,10,11,12,14,15,16,23,26,27,32,36,37,41,
44,45,46,49,50,51,52,64,65,67,72,79,83,84,91,94,106,112,113,114,122,124,133,
147,185,200,202,203,204,205,207,209,227,229,263,264,265,268,271,283,292,300,
302,387,389,424,523,533,534,579,609,829,1056],[1,2,3,4,6,7,8,10,12,13,15,16,
23,27,29,31,32,33,41,42,43,45,48,49,51,67,84,85,94,106,113,115,116,117,121,
122,166,167,185,207,263,267,272,292,311,324,327,371,516,523,613,826,840,
1057],[1,2,3,4,6,7,8,9,10,11,12,16,23,26,28,29,30,36,39,40,41,44,47,49,50,72,
83,90,93,105,114,115,118,119,120,123,159,171,205,206,264,271,276,293,310,323,
346,366,517,522,614,825,841,1058],[1,2,3,4,6,7,10,11,12,14,15,16,23,26,27,32,
36,37,41,49,50,51,52,64,65,67,72,79,83,84,91,102,122,123,124,125,126,133,147,
148,151,185,199,200,202,203,204,205,206,207,209,216,224,225,227,229,263,264,
265,283,387,389,391,392,424,427,428,429,430,561,562,563,582,710,829,1059],[1,
2,3,4,7,14,15,16,17,23,26,31,46,57,58,66,72,74,77,83,91,102,123,143,155,170,
187,201,230,264,268,281,385,407,450,562,702,831,1060],[1,2,3,4,6,11,14,16,17,
23,27,28,38,54,55,67,69,73,78,84,91,102,122,142,154,165,197,208,228,263,266,
282,386,411,435,561,704,830,1061],[1,2,3,4,6,7,10,12,13,14,15,16,17,18,21,23,
26,27,31,32,37,41,42,48,49,50,51,58,63,65,66,67,70,72,79,83,84,91,99,116,153,
155,156,166,167,175,185,201,204,205,207,220,227,248,254,255,263,264,265,283,
327,328,339,387,433,434,440,543,544,547,690,829,1062],[1,2,3,4,6,7,8,10,12,14,
16,18,20,21,23,26,27,29,37,41,49,50,51,59,60,65,67,70,72,79,83,84,91,100,115,
156,157,159,167,195,204,205,207,227,246,247,248,249,250,252,263,264,265,283,
323,324,336,387,439,440,441,541,546,549,689,829,1063],[1,2,3,4,6,7,9,10,11,12,
14,16,17,18,20,21,23,27,28,30,38,41,44,47,49,51,54,55,59,61,67,69,71,73,78,84,
91,100,120,161,162,168,169,196,197,207,208,228,246,248,251,252,263,266,282,
322,347,386,454,455,541,550,701,830,1064],[1,2,3,4,6,8,9,11,14,17,18,21,23,27,
28,38,40,54,55,60,61,69,71,73,78,84,91,98,107,160,161,179,197,208,218,228,250,
251,253,263,266,282,318,352,386,454,457,537,540,699,830,1065],[1,2,3,4,7,8,13,
14,15,17,18,21,23,26,31,43,46,57,58,60,63,66,74,75,77,83,91,99,109,158,180,
184,187,201,222,230,250,254,255,264,268,281,314,354,385,436,452,545,547,696,
831,1066],[1,2,3,4,6,7,10,12,13,14,15,16,17,18,20,21,23,26,31,33,41,45,46,48,
49,50,57,58,59,63,66,72,74,75,77,83,91,100,121,163,164,180,181,187,188,201,
205,230,247,249,252,255,264,268,281,345,356,385,436,438,546,556,679,831,
1067],[1,2,3,4,6,7,9,10,11,12,14,16,17,18,21,23,26,27,28,36,37,39,41,47,49,50,
51,55,61,65,67,70,72,73,79,83,84,91,98,118,152,154,156,159,171,177,204,205,
206,207,208,217,227,249,251,253,263,264,265,283,331,343,346,387,439,442,443,
537,539,542,687,829,1068],[1,2,3,4,7,10,11,14,15,16,17,21,23,26,31,36,46,50,
54,57,58,62,66,72,74,77,80,83,91,98,140,187,189,201,206,210,230,234,236,237,
249,264,268,281,359,385,465,498,503,542,574,794,831,1069],[1,2,3,4,6,10,11,14,
15,16,17,21,23,27,28,32,38,51,54,55,57,62,67,69,73,78,80,84,91,99,138,185,186,
197,208,214,228,232,235,237,248,263,266,282,360,386,466,499,502,543,575,797,
830,1070],[1,2,3,4,6,7,8,9,10,11,12,16,23,26,28,29,30,36,39,40,41,44,47,72,83,
90,102,114,115,118,119,120,123,159,171,264,271,276,310,366,517,562,601,825,
1071],[1,2,3,4,6,7,8,10,12,13,15,16,23,27,29,31,32,33,41,42,43,45,48,67,84,85,
102,113,115,116,117,121,122,166,167,263,267,272,311,371,516,561,600,826,
1072],[1,2,3,4,6,7,10,12,14,16,17,18,23,26,27,37,41,49,50,51,65,66,67,68,70,
72,73,79,83,84,91,96,131,142,143,146,152,153,156,165,170,182,204,205,207,227,
263,264,265,283,387,405,409,415,434,442,449,564,565,566,707,829,1073],[1,2,3,
4,6,7,8,10,11,12,14,15,16,17,18,21,23,26,29,32,36,37,41,49,50,51,52,56,58,59,
60,64,65,67,70,72,73,79,83,90,98,115,152,156,157,159,169,195,202,203,204,205,
206,213,216,225,227,249,254,260,264,323,330,336,391,442,443,444,517,542,686,
817,818,841,1074],[1,2,3,4,6,7,8,10,11,12,14,15,16,17,18,21,23,27,29,32,36,37,
41,49,50,51,52,53,55,59,60,64,65,66,67,70,72,79,84,85,99,115,153,156,157,164,
167,185,195,200,203,204,207,209,211,227,229,248,253,258,263,324,329,336,389,
432,433,434,516,543,692,815,816,840,1075],[1,2,3,4,6,7,8,10,12,14,16,18,20,21,
23,26,27,29,37,41,49,50,51,59,60,65,67,70,72,79,83,90,100,115,156,157,159,167,
195,204,205,207,227,247,249,260,264,323,324,336,387,439,440,441,517,546,689,
814,818,841,1076],[1,2,3,5,7,14,15,17,22,24,26,31,46,57,58,66,74,77,89,101,
105,170,187,201,230,259,270,325,385,450,515,560,680,819,842,1077],[1,2,3,4,7,
8,13,14,15,17,18,21,23,26,31,43,46,57,58,60,63,66,74,75,77,83,90,99,109,158,
180,184,187,201,222,230,254,260,264,314,354,385,436,452,521,547,696,821,843,
1078],[1,2,3,4,6,7,8,10,12,14,16,18,20,21,23,26,27,29,37,41,49,50,51,59,60,65,
67,70,72,79,84,85,100,115,156,157,159,167,195,204,205,207,227,246,248,258,263,
323,324,336,387,439,440,441,516,541,689,813,816,840,1079],[1,2,3,5,6,11,14,17,
22,24,27,28,38,54,55,69,73,78,86,101,106,165,197,208,228,261,275,326,386,435,
514,555,678,820,844,1080],[1,2,3,4,6,8,9,11,14,17,18,21,23,27,28,38,40,54,55,
60,61,69,71,73,78,84,85,98,107,160,161,179,197,208,218,228,253,258,263,318,
352,386,454,457,520,537,699,823,845,1081],[1,2,3,5,6,8,9,10,11,15,16,17,24,28,
32,40,53,57,62,65,67,73,86,95,107,124,136,139,154,166,168,186,191,214,275,319,
357,393,412,471,525,536,631,839,872,1082],[1,2,3,5,7,8,10,11,13,15,16,17,24,
31,36,43,54,56,62,65,66,72,89,95,109,125,137,141,155,163,171,189,190,210,270,
316,358,395,404,474,527,535,633,838,871,1083],[1,2,3,5,6,10,11,15,17,18,24,28,
32,53,57,70,71,73,86,97,136,161,174,186,191,275,357,446,456,536,570,788,839,
1084],[1,2,3,5,7,10,11,15,17,18,24,31,36,54,56,66,70,75,89,97,137,176,180,189,
190,270,358,445,451,535,567,787,838,1085],[1,2,3,5,6,11,17,18,24,27,28,55,71,
73,80,86,97,106,161,165,208,232,275,326,454,466,514,570,777,844,1086],[1,2,3,
4,7,8,13,15,17,23,26,31,43,58,66,80,83,90,96,109,158,170,201,234,264,314,450,
465,521,565,769,843,1087],[1,2,3,5,7,15,17,18,24,26,31,58,66,75,80,89,97,105,
170,180,201,234,270,325,436,465,515,567,780,842,1088],[1,2,3,4,6,8,9,11,17,23,
27,28,40,55,73,80,84,85,96,107,160,165,208,232,263,318,435,466,520,564,770,
845,1089],[1,2,3,4,6,7,10,12,15,16,17,23,27,32,41,45,66,72,76,78,79,84,93,113,
135,141,143,148,149,153,159,164,263,267,282,283,372,461,462,532,576,578,629,
1090],[1,2,3,4,6,7,10,11,12,16,17,23,26,36,41,44,67,73,76,77,79,83,94,114,134,
139,142,147,150,152,167,169,264,271,281,283,373,460,463,533,577,579,630,
1091],[1,2,3,5,7,10,11,13,14,15,17,22,24,31,36,42,46,54,56,57,58,66,68,74,77,
80,89,101,137,187,189,190,193,221,226,230,234,236,237,259,270,358,388,468,498,
500,535,560,795,838,869,1092],[1,2,3,5,6,9,10,11,14,15,17,22,24,28,32,38,39,
53,54,55,57,68,69,73,78,80,86,101,136,186,191,192,197,219,228,231,232,235,237,
261,275,357,390,467,499,501,536,555,796,839,870,1093],[1,2,3,5,8,10,12,16,17,
18,24,29,64,65,68,70,76,79,80,87,97,132,144,146,151,157,233,274,431,464,504,
573,801,846,1094],[1,2,3,5,6,7,8,10,12,16,17,24,29,41,64,66,67,68,72,73,76,87,
95,115,131,132,133,134,135,274,384,431,524,635,846,1095],[1,2,3,5,8,10,12,14,
16,17,18,22,24,29,37,52,59,60,64,68,70,76,80,87,101,132,144,182,195,199,233,
257,274,431,481,504,553,802,846,1096],[1,2,3,4,6,7,9,10,11,12,15,16,17,20,21,
23,27,28,30,32,41,44,45,47,49,51,55,56,57,58,62,67,73,76,84,93,94,96,98,99,
100,102,106,113,120,122,134,138,139,165,168,169,172,185,186,207,208,213,214,
215,223,246,248,253,263,267,279,280,284,285,287,288,289,292,309,326,347,351,
360,479,480,492,523,532,537,538,541,543,551,561,564,583,736,833,834,849,850,
851,864,866,1097],[1,2,3,4,6,7,10,11,12,13,15,16,17,20,21,23,26,31,33,36,41,
44,45,48,49,50,53,54,55,58,62,66,72,76,83,93,94,96,98,99,100,102,105,114,121,
123,135,140,141,163,164,170,173,189,201,205,206,210,211,212,223,247,249,254,
264,271,279,280,284,285,287,288,289,293,308,325,345,350,359,475,476,489,522,
533,542,546,547,548,557,562,565,583,738,832,836,848,852,853,863,868,1098],[1,
2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,23,29,30,32,33,36,37,38,39,40,
42,43,44,45,46,47,48,49,50,51,52,53,55,56,58,59,60,61,62,63,64,65,68,70,71,75,
76,91,93,94,96,98,99,100,102,111,112,117,119,126,128,130,132,144,145,146,157,
174,175,176,177,182,188,192,193,194,195,196,198,199,203,209,212,215,216,217,
218,220,222,223,250,251,252,255,265,266,268,279,280,284,285,287,288,289,299,
303,305,307,340,344,348,349,361,481,482,483,484,493,494,531,534,539,540,544,
545,549,550,556,563,566,583,741,835,837,847,854,855,865,867,1099],[1,2,5,7,19,
26,89,104,105,515,811,1100],[1,2,5,6,19,27,86,104,106,514,812,1101],[1,2,3,6,
7,8,9,10,11,12,13,14,15,16,17,26,27,28,29,30,31,32,33,34,36,37,39,40,41,42,43,
44,45,46,47,48,49,50,51,52,53,55,56,57,58,62,64,65,66,67,68,72,73,74,76,77,79,
106,107,108,112,113,114,115,116,117,118,119,120,121,122,124,129,131,132,133,
134,135,136,138,139,142,147,150,152,154,160,165,166,167,168,169,172,185,186,
187,190,191,192,193,194,198,200,201,202,203,204,205,207,208,209,210,211,212,
213,214,215,221,223,226,227,229,230,292,294,295,296,297,298,299,300,302,304,
308,309,310,311,312,318,319,320,321,324,326,327,330,331,332,334,337,338,347,
351,357,360,367,368,371,373,374,376,377,384,385,387,388,389,393,394,397,398,
402,409,410,411,412,413,418,420,421,424,426,460,463,469,470,471,478,479,480,
488,490,491,492,595,598,599,609,611,613,615,619,621,622,623,630,631,632,636,
641,642,643,645,672,675,677,722,723,724,731,732,736,737,739,744,745,751,752,
753,754,760,761,888,900,901,934,935,963,1102],[1,2,3,6,7,8,9,10,11,12,13,14,
15,16,17,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,
51,52,53,54,55,56,58,62,64,65,66,67,68,69,72,73,76,78,79,105,109,110,111,113,
114,115,116,117,118,119,120,121,123,125,127,131,132,133,134,135,137,140,141,
143,148,149,153,155,158,159,163,164,170,171,173,189,190,191,192,193,194,197,
198,200,201,202,203,204,205,206,207,208,210,211,212,213,214,215,216,219,223,
225,227,228,231,293,294,295,296,297,298,299,301,302,306,308,309,310,311,313,
314,315,316,317,323,325,328,329,333,335,341,342,345,346,350,358,359,362,363,
366,372,375,378,379,384,386,387,390,391,395,396,399,400,401,404,405,406,407,
408,417,419,422,425,427,461,462,472,473,474,475,476,477,485,486,487,489,594,
596,597,608,610,614,617,620,624,625,626,629,633,634,637,638,639,640,644,673,
676,677,725,726,727,730,733,735,738,740,742,743,747,748,749,750,762,763,889,
898,899,936,937,962,1103],[1,2,3,6,7,8,9,10,11,12,13,15,16,17,26,27,28,29,30,
31,32,33,34,35,36,39,40,41,42,43,44,45,47,48,49,50,51,52,53,55,56,58,62,64,66,
67,68,72,73,76,107,108,109,110,113,114,115,116,117,118,119,120,121,131,132,
133,134,135,152,153,154,155,158,159,160,163,164,167,168,169,190,191,192,193,
194,198,200,201,202,203,205,207,208,210,211,212,213,214,215,223,294,295,296,
297,298,299,302,308,309,310,311,312,313,314,315,316,317,318,319,320,321,323,
324,328,329,330,331,332,333,334,335,345,347,372,373,374,375,376,377,378,379,
384,431,594,595,619,620,621,622,623,624,625,626,635,636,637,677,888,889,939,
1104],[1,2,3,6,7,8,9,10,11,12,13,15,16,17,18,26,27,28,29,30,31,32,33,34,36,39,
40,41,42,43,44,45,47,48,49,50,51,52,53,55,56,58,62,64,66,67,68,70,72,73,75,76,
107,108,113,114,115,116,117,118,119,120,121,122,130,131,132,133,134,135,152,
154,156,160,166,167,168,169,174,180,183,190,191,192,193,194,198,200,201,202,
203,205,207,208,210,211,212,213,214,215,223,294,295,296,297,298,299,302,308,
309,310,311,312,318,319,320,321,324,330,331,332,334,347,369,371,373,374,376,
377,382,384,432,436,437,440,451,453,595,600,605,619,621,622,623,636,666,668,
669,670,677,888,919,920,1105],[1,2,3,6,7,8,9,10,11,12,13,15,16,17,18,26,27,28,
29,30,31,32,33,35,36,39,40,41,42,43,44,45,47,48,49,50,51,52,53,55,56,58,62,64,
66,67,68,70,71,72,73,76,109,110,113,114,115,116,117,118,119,120,121,123,128,
131,132,133,134,135,153,155,156,158,159,161,163,164,171,176,178,190,191,192,
193,194,198,200,201,202,203,205,207,208,210,211,212,213,214,215,223,294,295,
296,297,298,299,302,308,309,310,311,313,314,315,316,317,323,328,329,333,335,
345,364,366,372,375,378,379,380,384,439,444,454,456,458,459,594,601,602,620,
624,625,626,637,658,659,661,663,677,889,921,922,1106],[1,2,3,6,7,8,9,10,11,12,
13,14,15,16,17,18,26,27,28,29,30,31,32,33,36,37,38,39,40,41,42,43,44,45,47,48,
49,50,51,52,53,54,55,56,58,62,64,65,66,67,68,69,70,71,72,73,76,78,111,113,114,
115,116,117,118,119,120,121,123,125,127,128,131,132,133,134,135,137,140,141,
143,149,152,153,154,155,156,158,159,160,161,163,164,167,168,169,170,171,173,
176,178,189,190,191,192,193,194,197,198,200,201,202,203,204,205,206,207,208,
210,211,212,213,214,215,216,219,223,228,231,294,295,296,297,298,299,301,302,
306,308,309,310,311,315,317,329,335,341,342,346,350,358,359,362,363,364,366,
372,373,374,375,376,377,378,379,380,384,386,390,399,400,405,406,408,417,419,
425,431,439,441,443,444,455,457,459,461,472,473,474,476,477,485,486,487,601,
602,608,617,624,635,636,637,640,644,660,661,662,663,676,677,711,719,733,735,
740,743,747,748,922,927,932,937,939,1107],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,
17,18,26,27,28,29,30,31,32,33,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,
53,54,55,56,58,62,64,65,66,67,68,69,70,71,72,73,76,79,105,111,113,114,115,116,
117,118,119,120,121,123,125,127,128,131,132,133,134,135,140,141,143,148,152,
153,154,155,156,158,159,160,161,163,164,167,168,169,170,171,173,176,178,189,
190,191,192,193,194,197,198,200,201,202,203,204,205,206,207,208,210,211,212,
213,214,215,216,219,223,225,227,293,294,295,296,297,298,299,301,302,306,308,
309,310,311,323,325,328,329,333,335,341,342,345,346,350,359,362,363,364,366,
372,373,374,375,376,377,378,379,380,384,387,391,401,404,405,406,407,408,422,
427,431,440,442,454,455,456,457,458,462,472,473,474,475,476,486,487,489,602,
610,614,617,620,635,636,637,638,639,640,658,659,660,664,673,677,712,719,730,
738,740,742,749,750,921,928,932,936,939,1108],[1,2,3,6,7,8,9,10,11,12,13,14,
15,16,17,18,26,27,28,29,30,31,32,33,36,37,39,40,41,42,43,44,45,46,47,48,49,50,
51,52,53,55,56,57,58,62,64,65,66,67,68,70,72,73,74,75,76,79,106,112,113,114,
115,116,117,118,119,120,121,122,124,129,130,131,132,133,134,135,138,139,142,
147,152,153,154,155,156,158,159,160,163,164,165,166,167,168,169,172,174,180,
183,185,186,187,190,191,192,193,194,198,200,201,202,203,204,205,207,208,209,
210,211,212,213,214,215,221,223,227,229,292,294,295,296,297,298,299,300,302,
304,308,309,310,311,324,326,327,330,331,332,334,337,338,347,351,360,367,368,
369,371,372,373,374,375,376,377,378,379,382,384,387,389,402,409,410,411,412,
413,420,424,431,434,436,438,439,451,452,453,463,469,470,471,479,480,490,491,
492,605,609,613,615,619,635,636,637,641,642,643,667,669,670,671,675,677,714,
720,732,736,739,744,751,752,919,925,931,934,939,1109],[1,2,3,6,7,8,9,10,11,12,
13,14,15,16,17,18,26,27,28,29,30,31,32,33,36,37,39,40,41,42,43,44,45,46,47,48,
49,50,51,52,53,55,56,57,58,62,64,65,66,67,68,70,72,73,74,75,76,77,112,113,114,
115,116,117,118,119,120,121,122,124,129,130,131,132,133,134,135,136,138,139,
142,150,152,153,154,155,156,158,159,160,163,164,165,166,167,168,169,172,174,
180,183,185,186,187,190,191,192,193,194,198,200,201,202,203,204,205,207,208,
209,210,211,212,213,214,215,221,223,226,230,294,295,296,297,298,299,300,302,
304,308,309,310,311,320,321,327,330,334,337,338,351,357,360,367,368,369,371,
372,373,374,375,376,377,378,379,382,384,385,388,397,398,409,410,413,418,421,
426,431,432,433,437,438,440,441,452,460,469,470,471,478,479,488,490,491,600,
605,611,615,622,635,636,637,643,645,665,666,668,671,672,677,713,720,731,737,
739,745,753,754,920,926,931,935,939,1110],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,
17,26,27,28,29,30,31,32,33,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,
53,54,55,56,57,58,62,64,65,66,67,68,69,72,73,74,76,77,78,80,111,112,113,114,
115,116,117,118,119,120,121,124,125,127,129,131,132,133,134,135,136,137,138,
139,140,141,142,143,149,150,152,153,154,155,158,159,160,164,165,166,167,169,
170,171,172,173,185,186,187,189,190,191,192,193,194,197,198,200,201,202,203,
204,205,206,207,208,209,210,211,212,213,214,215,216,219,221,223,226,228,230,
231,232,233,234,235,236,237,238,294,295,296,297,298,299,300,301,302,304,306,
308,309,310,311,315,317,320,321,327,329,330,334,335,337,338,341,342,346,350,
351,357,358,359,360,362,363,367,368,372,373,377,379,384,385,386,388,390,397,
398,399,400,405,406,408,409,410,413,417,418,419,421,425,426,460,461,465,466,
467,468,469,470,471,472,473,474,476,477,478,479,485,486,487,488,490,491,495,
496,497,498,499,500,501,502,503,504,505,608,611,615,617,622,624,640,643,644,
645,672,676,677,721,728,729,731,733,735,737,739,740,743,745,747,748,753,754,
756,757,758,759,793,794,795,796,797,798,799,800,935,937,938,979,980,981,982,
1002,1111],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,17,18,26,27,28,29,30,31,32,33,
34,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,
64,65,66,67,68,69,70,71,72,73,76,79,105,107,108,111,113,114,115,116,117,118,
119,120,121,123,125,127,128,131,132,133,134,135,140,141,143,148,152,153,154,
155,156,157,159,160,161,162,163,164,167,168,169,170,171,173,176,177,178,179,
189,190,191,192,193,194,195,196,197,198,200,201,202,203,204,205,206,207,208,
210,211,212,213,214,215,216,217,218,219,223,225,227,293,294,295,296,297,298,
299,301,302,306,307,308,309,310,311,312,318,319,320,321,322,323,324,325,328,
329,330,331,332,333,334,335,336,341,342,343,344,345,346,347,350,352,353,359,
362,363,364,365,366,372,373,374,375,376,377,380,381,384,387,391,401,404,405,
406,407,408,422,427,439,440,441,442,443,444,459,462,472,473,474,475,476,486,
487,489,595,601,602,603,604,610,614,617,618,619,620,621,622,623,628,636,638,
639,640,661,662,663,664,673,677,686,687,688,689,711,712,730,738,740,742,749,
750,884,886,888,922,927,928,936,945,954,955,969,1112],[1,2,3,6,7,8,9,10,11,12,
13,14,15,16,17,18,26,27,28,29,30,31,32,33,35,36,37,39,40,41,42,43,44,45,46,47,
48,49,50,51,52,53,55,56,57,58,59,60,62,63,64,65,66,67,68,70,72,73,74,75,76,77,
109,110,112,113,114,115,116,117,118,119,120,121,124,129,130,131,132,133,134,
135,136,138,139,142,150,152,153,154,155,156,157,158,159,160,163,164,165,166,
167,169,172,174,175,180,181,183,184,185,186,187,188,190,191,192,193,194,195,
198,200,201,202,203,204,205,207,208,209,210,211,212,213,214,215,220,221,222,
223,226,230,294,295,296,297,298,299,300,302,304,305,308,309,310,311,313,314,
315,316,317,320,321,323,327,328,329,330,333,334,335,336,337,338,339,340,345,
351,354,355,356,357,360,367,368,369,370,372,373,375,377,378,379,382,383,384,
385,388,397,398,409,410,413,418,421,426,436,438,451,452,453,460,469,470,471,
478,479,488,490,491,594,605,606,607,611,615,616,620,622,624,625,626,627,637,
643,645,669,670,671,672,677,679,694,695,696,720,731,737,739,745,753,754,885,
889,919,931,935,946,956,968,1113],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,17,18,
26,27,28,29,30,31,32,33,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,
55,56,57,58,59,60,62,63,64,65,66,67,68,70,72,73,74,75,76,79,106,109,110,112,
113,114,115,116,117,118,119,120,121,122,124,129,130,131,132,133,134,135,138,
139,142,147,152,153,154,155,156,157,158,159,163,164,165,166,167,168,169,172,
174,175,180,181,183,184,185,186,187,188,190,191,192,193,194,195,198,200,201,
202,203,204,205,207,208,209,210,211,212,213,214,215,220,221,222,223,227,229,
292,294,295,296,297,298,299,300,302,304,305,308,309,310,311,313,314,315,316,
317,323,324,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,345,
347,351,354,355,356,360,367,368,369,370,371,372,373,374,375,378,379,382,383,
384,387,389,402,409,410,411,412,413,420,424,432,433,434,437,439,440,441,463,
469,470,471,479,480,490,491,492,594,600,605,606,607,609,613,615,616,619,620,
624,625,626,627,637,641,642,643,665,666,667,668,675,677,689,690,691,692,713,
714,732,736,739,744,751,752,883,885,889,920,925,926,934,943,948,949,964,
1114],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,17,18,26,27,28,29,30,31,32,33,35,36,
37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,
64,65,66,67,68,70,71,72,73,74,75,76,79,109,110,111,112,113,114,115,116,117,
118,119,120,121,124,125,126,128,129,130,131,132,133,134,135,144,145,146,151,
152,153,155,156,157,158,159,163,164,165,169,172,174,175,176,177,180,181,182,
183,184,185,186,187,188,190,191,192,193,194,195,196,198,199,200,201,202,203,
204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,220,221,222,223,
224,225,227,229,294,295,296,297,298,299,300,301,302,303,304,305,307,308,309,
310,311,313,314,315,316,317,323,328,329,330,333,335,336,337,339,340,343,344,
345,348,349,351,354,355,356,361,364,365,367,368,369,370,372,375,378,379,382,
383,384,389,391,392,403,414,415,416,423,428,429,435,442,443,444,446,447,448,
449,464,481,482,483,484,493,494,594,605,606,607,612,615,616,618,620,624,625,
626,627,637,646,647,650,651,652,653,657,674,677,681,682,684,686,715,716,734,
741,746,755,885,889,923,929,933,944,950,951,965,1115],[1,2,3,6,7,8,9,10,11,12,
13,14,15,16,17,18,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,
47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,
75,76,79,107,108,111,112,113,114,115,116,117,118,119,120,121,124,125,126,127,
128,130,131,132,133,134,135,144,145,146,151,152,153,154,156,157,160,161,162,
164,167,168,169,170,173,174,175,176,177,178,179,182,185,188,189,190,191,192,
193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,
212,213,214,215,216,217,218,219,220,222,223,224,225,227,229,294,295,296,297,
298,299,300,301,302,303,305,306,307,308,309,310,311,312,318,319,320,321,322,
324,329,330,331,332,334,336,339,340,342,343,344,347,348,349,350,352,353,361,
362,363,364,365,369,370,373,374,376,377,380,381,384,389,391,392,403,414,415,
416,423,428,429,432,433,434,445,447,448,449,450,464,481,482,483,484,493,494,
595,602,603,604,612,616,617,618,619,621,622,623,628,636,646,647,648,649,654,
655,656,674,677,682,683,685,692,717,718,734,741,746,755,886,888,924,930,933,
947,952,953,966,1116],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,17,18,26,27,28,29,
30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,58,
59,60,61,62,64,65,66,67,68,69,70,71,72,73,76,78,107,108,111,113,114,115,116,
117,118,119,120,121,125,127,128,131,132,133,134,135,137,140,141,143,149,152,
153,154,155,156,157,158,159,160,161,162,164,167,168,169,170,171,173,176,177,
178,179,189,190,191,192,193,194,195,196,197,198,200,201,202,203,204,205,206,
207,208,210,211,212,213,214,215,216,217,218,219,223,228,231,294,295,296,297,
298,299,301,302,306,307,308,309,310,311,312,315,317,318,319,320,321,322,324,
329,330,331,332,334,335,336,341,342,343,344,346,347,350,352,353,358,359,362,
363,364,365,372,373,374,376,377,379,380,381,384,386,390,399,400,405,406,408,
417,419,425,454,455,456,457,458,461,472,473,474,476,477,485,486,487,595,602,
603,604,608,617,618,619,621,622,623,624,628,636,640,644,658,659,660,676,677,
698,699,700,701,719,733,735,740,743,747,748,886,888,921,932,937,942,957,967,
1117],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,17,18,26,27,28,29,30,31,32,33,36,37,
38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,58,62,64,65,66,67,68,69,
70,71,72,73,74,75,76,79,105,111,113,114,115,116,117,118,119,120,121,122,123,
125,127,128,129,130,131,132,133,134,135,138,139,140,141,143,144,145,148,152,
153,155,156,159,163,164,165,166,167,169,170,171,173,174,176,180,181,183,184,
189,190,191,192,193,194,197,198,200,201,202,203,204,205,206,207,208,210,211,
212,213,214,215,216,219,223,225,227,293,294,295,296,297,298,299,301,302,306,
308,309,310,311,323,325,328,329,333,335,341,342,345,346,350,359,362,363,364,
366,367,369,371,372,373,375,382,383,384,387,391,401,404,405,406,407,408,420,
422,423,427,432,435,437,440,442,446,447,462,472,473,474,475,476,486,487,489,
491,492,493,600,605,606,610,614,617,620,638,639,640,650,651,656,657,664,666,
668,673,674,675,677,713,714,715,716,730,738,740,742,749,750,790,907,911,912,
920,923,936,940,943,944,1118],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,17,18,26,27,
28,29,30,31,32,33,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,
58,62,64,65,66,67,68,69,70,71,72,73,74,75,76,79,106,112,113,114,115,116,117,
118,119,120,121,122,123,124,127,128,129,130,131,132,133,134,135,138,139,140,
141,142,144,145,147,152,153,154,156,159,161,162,164,165,166,167,168,169,170,
171,172,174,176,178,179,185,186,187,190,191,192,193,194,198,200,201,202,203,
204,205,207,208,209,210,211,212,213,214,215,221,223,227,229,292,294,295,296,
297,298,299,300,302,304,308,309,310,311,324,326,327,330,331,332,334,337,338,
347,351,360,362,364,366,367,368,369,371,372,373,374,380,381,384,387,389,402,
409,410,411,412,413,420,422,423,424,434,439,444,445,448,450,459,463,469,470,
471,479,480,487,489,490,491,492,493,601,602,603,609,613,615,619,641,642,643,
648,649,652,654,661,663,667,673,674,675,677,711,712,717,718,732,736,739,744,
751,752,792,906,916,917,922,924,934,941,945,947,1119],[1,2,3,6,7,8,9,10,11,12,
13,14,15,16,17,18,26,27,28,29,30,31,32,33,36,37,38,39,40,41,42,43,44,45,46,47,
48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,
74,75,76,79,105,106,111,112,113,114,115,116,117,118,119,120,121,122,123,124,
125,126,127,128,129,130,131,132,133,134,135,138,139,140,141,142,143,144,145,
146,147,148,151,152,153,154,155,156,157,159,163,164,165,166,167,168,169,170,
171,172,173,174,175,176,177,182,185,186,187,188,189,190,191,192,193,194,195,
196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,
215,216,217,218,219,220,221,222,223,224,225,227,229,292,293,294,295,296,297,
298,299,300,301,302,303,304,305,306,307,308,309,310,311,323,324,325,326,327,
328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,
347,348,349,350,351,359,360,361,362,363,364,365,366,367,368,369,370,371,372,
373,374,375,384,387,389,391,392,401,402,403,404,405,406,407,408,409,410,411,
412,413,414,415,416,420,422,423,424,427,428,429,430,432,433,434,439,440,441,
442,443,444,447,448,449,462,463,464,469,470,471,472,473,474,475,476,479,480,
481,482,483,484,486,487,489,490,491,492,493,494,609,610,612,613,614,615,616,
617,618,619,620,638,639,640,641,642,643,646,647,652,653,654,655,656,657,662,
663,664,665,666,667,673,674,675,677,681,682,683,684,685,686,687,688,689,690,
691,692,706,707,708,709,710,730,732,734,736,738,739,740,741,742,744,746,749,
750,751,752,755,790,791,792,887,894,895,896,897,906,907,908,933,934,936,964,
965,966,969,992,993,1120],[1,2,3,6,7,8,9,10,11,12,13,15,16,17,18,26,27,28,29,
30,31,32,33,36,39,40,41,42,43,44,45,47,48,49,50,51,52,53,55,56,58,62,64,66,67,
68,70,71,72,73,75,76,80,113,114,115,116,117,118,119,120,121,122,123,128,130,
131,132,133,134,135,156,159,161,166,167,171,174,176,178,180,183,190,191,192,
193,194,198,200,201,202,203,205,207,208,210,211,212,213,214,215,223,232,233,
234,294,295,296,297,298,299,302,308,309,310,311,364,366,369,371,380,382,384,
432,437,439,440,444,459,465,466,467,468,495,504,600,601,602,605,661,663,666,
668,677,721,728,729,920,922,938,1121],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,17,
18,26,27,28,29,30,31,32,33,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,
53,54,55,56,57,58,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,79,105,111,112,
113,114,115,116,117,118,119,120,121,123,124,125,127,128,129,131,132,133,134,
135,136,138,139,140,141,142,143,146,148,150,152,153,154,155,156,159,160,162,
163,164,165,166,167,169,170,171,172,173,175,176,179,182,185,186,187,189,190,
191,192,193,194,197,198,200,201,202,203,204,205,206,207,208,209,210,211,212,
213,214,215,216,219,220,221,223,225,226,227,230,293,294,295,296,297,298,299,
300,301,302,304,306,308,309,310,311,320,321,323,325,327,328,329,330,333,334,
335,337,338,339,341,342,345,346,348,350,351,357,359,360,362,363,364,366,367,
368,372,373,375,377,381,384,385,387,388,391,397,398,401,404,405,406,407,408,
409,410,413,414,415,418,421,422,426,427,433,434,440,442,445,448,449,450,459,
460,462,469,470,471,472,473,474,475,476,478,479,483,486,487,488,489,490,491,
603,610,611,614,615,617,620,622,638,639,640,643,645,647,648,649,654,655,661,
664,672,673,677,680,684,690,693,702,703,707,708,711,718,730,731,737,738,739,
740,742,745,749,750,753,754,890,891,897,914,915,917,924,935,936,953,955,
1122],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,17,18,26,27,28,29,30,31,32,33,36,37,
38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,
65,66,67,68,70,71,72,73,74,75,76,77,79,111,112,113,114,115,116,117,118,119,
120,121,123,124,125,126,128,129,130,131,132,133,134,135,136,138,139,141,142,
144,145,146,150,151,152,154,156,157,159,160,161,163,165,166,167,169,171,172,
173,174,175,176,177,178,182,185,186,187,188,190,191,192,193,194,195,196,198,
199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,
218,220,221,222,223,224,225,226,227,229,230,294,295,296,297,298,299,300,301,
302,303,304,305,307,308,309,310,311,320,321,327,330,333,334,336,337,338,339,
340,341,343,344,348,349,351,357,360,361,364,365,366,367,368,369,370,373,377,
380,384,385,388,389,391,392,397,398,403,404,406,409,410,413,414,415,416,418,
421,423,426,428,429,432,439,441,443,444,445,447,459,460,464,469,470,471,475,
478,479,481,482,483,484,488,490,491,493,494,601,602,611,612,615,616,618,622,
639,643,645,646,647,648,656,661,662,663,672,674,677,681,691,693,703,706,709,
712,717,731,734,737,739,741,745,746,753,754,755,891,896,916,918,922,933,935,
952,954,1123],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,17,18,26,27,28,29,30,31,32,
33,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,61,62,
64,65,66,67,68,69,70,72,73,74,75,76,78,79,106,111,112,113,114,115,116,117,118,
119,120,121,122,124,125,127,129,130,131,132,133,134,135,137,138,139,140,141,
142,143,146,147,149,152,153,154,155,156,158,159,164,165,166,167,168,169,170,
171,172,173,174,177,181,182,184,185,186,187,189,190,191,192,193,194,197,198,
200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,219,
221,223,227,228,229,231,292,294,295,296,297,298,299,300,301,302,304,306,308,
309,310,311,315,317,324,326,327,329,330,331,332,334,335,337,338,341,342,343,
346,347,349,350,351,358,359,360,362,363,367,368,369,371,372,373,374,379,383,
384,386,387,389,390,399,400,402,405,406,408,409,410,411,412,413,415,416,417,
419,420,424,425,434,435,437,439,442,443,446,447,449,461,463,469,470,471,472,
473,474,476,477,479,480,482,485,486,487,490,491,492,606,608,609,613,615,617,
619,624,640,641,642,643,644,646,650,651,653,657,667,668,675,676,677,678,685,
687,697,704,705,707,709,713,715,732,733,735,736,739,740,743,744,747,748,751,
752,892,893,895,909,910,912,923,934,937,949,950,1124],[1,2,3,6,7,8,9,10,11,12,
13,14,15,16,17,18,26,27,28,29,30,31,32,33,36,37,38,39,40,41,42,43,44,45,46,47,
48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,
76,78,79,111,112,113,114,115,116,117,118,119,120,121,122,124,125,126,127,128,
130,131,132,133,134,135,137,139,140,141,143,144,145,146,149,151,153,155,156,
157,158,159,164,166,167,168,170,171,172,173,174,175,176,177,180,182,183,185,
188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,
207,208,209,210,211,212,213,214,215,216,217,218,219,220,222,223,224,225,227,
228,229,231,294,295,296,297,298,299,300,301,302,303,305,306,307,308,309,310,
311,315,317,329,332,335,336,338,339,340,341,342,343,344,346,348,349,350,358,
359,361,362,363,364,365,369,370,371,372,379,382,384,386,389,390,391,392,399,
400,403,405,406,408,410,412,414,415,416,417,419,423,425,428,429,432,433,437,
440,441,444,446,448,461,464,472,473,474,476,477,480,481,482,483,484,485,486,
487,493,494,600,605,608,612,616,617,618,624,640,641,644,646,647,651,652,665,
666,668,674,676,677,683,688,697,705,706,708,714,716,733,734,735,740,741,743,
746,747,748,755,893,894,911,913,920,933,937,948,951,1125],[1,2,3,6,7,8,9,10,
11,12,13,15,16,17,18,26,27,28,29,30,31,32,33,34,36,39,40,41,42,43,44,45,47,48,
49,50,51,52,53,55,56,58,62,64,66,67,68,70,72,73,74,75,76,80,107,108,113,114,
115,116,117,118,119,120,121,129,130,131,132,133,134,135,152,154,156,160,165,
167,168,169,174,181,184,190,191,192,193,194,198,200,201,202,203,205,207,208,
210,211,212,213,214,215,223,232,233,234,294,295,296,297,298,299,302,308,309,
310,311,312,318,319,320,321,324,330,331,332,334,347,367,369,373,374,376,377,
383,384,435,442,446,447,465,466,467,468,495,504,595,606,619,621,622,623,636,
650,651,657,677,721,728,729,770,775,776,778,888,923,938,958,960,1126],[1,2,3,
6,7,8,9,10,11,12,13,15,16,17,18,26,27,28,29,30,31,32,33,35,36,39,40,41,42,43,
44,45,47,48,49,50,51,52,53,55,56,58,62,64,66,67,68,69,70,71,72,73,76,80,109,
110,113,114,115,116,117,118,119,120,121,127,128,131,132,133,134,135,153,155,
156,158,159,162,163,164,170,176,179,190,191,192,193,194,198,200,201,202,203,
205,207,208,210,211,212,213,214,215,223,232,233,234,294,295,296,297,298,299,
302,308,309,310,311,313,314,315,316,317,323,328,329,333,335,345,362,364,372,
375,378,379,381,384,434,445,448,450,465,466,467,468,495,504,594,603,620,624,
625,626,637,648,649,654,677,721,728,729,769,772,773,779,889,924,938,959,961,
1127],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,17,18,26,27,28,29,30,31,32,33,36,37,
39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,62,64,65,66,67,68,70,
71,72,73,74,76,79,80,106,112,113,114,115,116,117,118,119,120,121,122,124,128,
129,131,132,133,134,135,138,139,142,147,152,154,156,161,165,166,167,168,169,
172,176,178,185,186,187,190,191,192,193,194,198,200,201,202,203,204,205,207,
208,209,210,211,212,213,214,215,221,223,227,229,232,233,234,292,294,295,296,
297,298,299,300,302,304,308,309,310,311,324,326,327,330,331,332,334,337,338,
347,351,360,364,367,368,371,373,374,380,384,387,389,402,409,410,411,412,413,
420,424,454,456,458,463,465,466,467,468,469,470,471,479,480,490,491,492,495,
504,602,609,613,615,619,641,642,643,658,659,675,677,721,728,729,732,736,739,
744,751,752,771,777,781,782,921,934,938,976,977,1128],[1,2,3,6,7,8,9,10,11,12,
13,14,15,16,17,18,26,27,28,29,30,31,32,33,36,37,38,39,40,41,42,43,44,45,47,48,
49,50,51,52,53,54,55,56,58,62,64,65,66,67,68,69,70,72,73,75,76,79,80,105,111,
113,114,115,116,117,118,119,120,121,123,125,127,130,131,132,133,134,135,140,
141,143,148,153,155,156,159,163,164,170,171,173,174,180,183,189,190,191,192,
193,194,197,198,200,201,202,203,204,205,206,207,208,210,211,212,213,214,215,
216,219,223,225,227,232,233,234,293,294,295,296,297,298,299,301,302,306,308,
309,310,311,323,325,328,329,333,335,341,342,345,346,350,359,362,363,366,369,
372,375,382,384,387,391,401,404,405,406,407,408,422,427,436,451,453,462,465,
466,467,468,472,473,474,475,476,486,487,489,495,504,605,610,614,617,620,638,
639,640,669,670,673,677,721,728,729,730,738,740,742,749,750,774,780,783,784,
919,936,938,975,978,1129],[1,2,3,6,7,8,9,10,11,12,13,15,16,17,18,26,27,28,29,
30,31,32,33,36,39,40,41,42,43,44,45,47,48,49,50,51,52,53,55,56,58,62,64,66,67,
68,69,70,71,72,73,74,75,76,113,114,115,116,117,118,119,120,121,127,128,129,
130,131,132,133,134,135,152,153,154,155,156,158,159,160,162,163,164,165,167,
168,169,170,174,176,179,181,184,190,191,192,193,194,198,200,201,202,203,205,
207,208,210,211,212,213,214,215,223,294,295,296,297,298,299,302,308,309,310,
311,362,364,367,369,372,373,374,375,376,377,378,379,381,383,384,431,434,435,
442,445,446,447,448,450,603,606,635,636,637,648,649,650,651,654,657,677,923,
924,939,1130],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,17,18,26,27,28,29,30,31,32,
33,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,58,59,60,61,62,
63,64,65,66,67,68,70,71,72,73,75,76,79,80,111,112,113,114,115,116,117,118,119,
120,121,124,125,126,128,130,131,132,133,134,135,144,145,146,151,152,153,154,
155,156,157,158,159,160,163,164,167,168,169,174,175,176,177,182,185,188,190,
191,192,193,194,195,196,198,199,200,201,202,203,204,205,206,207,208,209,210,
211,212,213,214,215,216,217,218,220,222,223,224,225,227,229,232,233,234,294,
295,296,297,298,299,300,301,302,303,305,307,308,309,310,311,336,339,340,343,
344,348,349,361,364,365,369,370,372,373,374,375,376,377,378,379,384,389,391,
392,403,414,415,416,423,428,429,431,464,465,466,467,468,481,482,483,484,493,
494,495,504,612,616,618,635,636,637,646,647,674,677,721,728,729,734,741,746,
755,801,802,933,938,939,987,1131],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,17,18,
26,27,28,29,30,31,32,33,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,
56,57,58,62,64,65,66,67,68,70,71,72,73,74,75,76,77,112,113,114,115,116,117,
118,119,120,121,124,128,129,130,131,132,133,134,135,136,138,139,142,150,152,
154,156,160,161,165,166,167,169,172,174,176,178,181,184,185,186,187,190,191,
192,193,194,198,200,201,202,203,204,205,207,208,209,210,211,212,213,214,215,
221,223,226,230,294,295,296,297,298,299,300,302,304,308,309,310,311,320,321,
327,330,334,337,338,351,357,360,364,367,368,369,373,377,380,383,384,385,388,
397,398,409,410,413,418,421,426,435,442,446,447,454,456,458,460,469,470,471,
478,479,488,490,491,602,606,611,615,622,643,645,650,651,657,658,659,672,677,
731,737,739,745,753,754,764,767,786,788,921,923,935,971,973,1132],[1,2,3,6,7,
8,9,10,11,12,13,14,15,16,17,18,26,27,28,29,30,31,32,33,36,37,38,39,40,41,42,
43,44,45,46,47,48,49,50,51,52,53,55,56,58,59,60,61,62,63,64,65,66,67,68,70,71,
72,73,75,76,79,111,112,113,114,115,116,117,118,119,120,121,124,125,126,128,
130,131,132,133,134,135,144,145,146,151,156,157,161,174,175,176,177,178,180,
182,183,185,188,190,191,192,193,194,195,196,198,199,200,201,202,203,204,205,
206,207,208,209,210,211,212,213,214,215,216,217,218,220,222,223,224,225,227,
229,294,295,296,297,298,299,300,301,302,303,305,307,308,309,310,311,336,339,
340,343,344,348,349,361,364,365,369,370,380,382,384,389,391,392,403,414,415,
416,423,428,429,436,451,453,454,456,458,464,481,482,483,484,493,494,602,605,
612,616,618,646,647,658,659,669,670,674,677,734,741,746,755,768,789,919,921,
933,974,1133],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,17,18,26,27,28,29,30,31,32,
33,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,58,62,64,65,66,
67,68,69,70,71,72,73,75,76,78,111,113,114,115,116,117,118,119,120,121,125,127,
128,130,131,132,133,134,135,137,140,141,143,149,153,155,156,158,159,162,164,
170,171,173,174,176,179,180,183,189,190,191,192,193,194,197,198,200,201,202,
203,204,205,206,207,208,210,211,212,213,214,215,216,219,223,228,231,294,295,
296,297,298,299,301,302,306,308,309,310,311,315,317,329,335,341,342,346,350,
358,359,362,363,364,369,372,379,381,382,384,386,390,399,400,405,406,408,417,
419,425,434,436,445,448,450,451,453,461,472,473,474,476,477,485,486,487,603,
605,608,617,624,640,644,648,649,654,669,670,676,677,733,735,740,743,747,748,
765,766,785,787,919,924,937,970,972,1134],[1,2,3,6,7,8,9,10,11,12,13,15,16,17,
18,26,27,28,29,30,31,32,33,36,39,40,41,42,43,44,45,47,48,49,50,51,52,53,55,56,
58,62,64,66,67,68,70,71,72,73,74,75,76,113,114,115,116,117,118,119,120,121,
123,128,129,130,131,132,133,134,135,152,156,159,161,165,171,174,176,178,180,
181,183,184,190,191,192,193,194,198,200,201,202,203,205,207,208,210,211,212,
213,214,215,223,294,295,296,297,298,299,302,308,309,310,311,364,366,367,369,
380,382,383,384,435,436,439,442,444,446,447,451,453,459,601,602,605,606,650,
651,657,661,663,669,670,677,919,922,923,1135],[1,2,3,6,7,8,9,10,11,12,13,15,
16,17,18,26,27,28,29,30,31,32,33,36,39,40,41,42,43,44,45,47,48,49,50,51,52,53,
55,56,58,62,64,66,67,68,69,70,71,72,73,75,76,113,114,115,116,117,118,119,120,
121,122,127,128,130,131,132,133,134,135,153,156,161,162,166,167,170,174,176,
178,179,180,183,190,191,192,193,194,198,200,201,202,203,205,207,208,210,211,
212,213,214,215,223,294,295,296,297,298,299,302,308,309,310,311,362,364,369,
371,380,381,382,384,432,434,437,440,445,448,450,454,456,458,600,602,603,605,
648,649,654,658,659,666,668,677,920,921,924,1136],[1,2,3,6,7,8,9,10,11,12,13,
14,15,16,17,18,26,27,28,29,31,32,33,36,37,38,39,41,42,43,44,45,46,47,48,49,50,
51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,78,
79,111,112,113,114,115,116,117,118,121,122,123,124,125,126,127,129,130,131,
132,133,134,135,137,138,139,140,141,143,146,148,149,151,152,153,155,156,157,
158,159,163,164,165,166,167,168,169,170,171,172,173,174,175,177,181,182,184,
185,186,187,188,189,190,191,192,195,198,199,200,201,202,203,204,205,206,207,
208,209,210,211,212,213,214,215,216,217,220,221,222,223,224,225,227,228,229,
231,295,298,300,301,302,303,304,305,308,311,315,317,323,328,329,330,332,333,
335,336,337,338,339,340,342,343,345,346,349,350,351,362,363,366,367,368,369,
370,371,372,373,375,378,379,383,384,389,391,392,395,396,399,400,401,404,405,
406,407,408,410,412,415,416,417,419,420,422,425,427,428,429,432,433,435,437,
440,441,442,443,444,447,448,449,461,462,472,473,474,475,476,477,480,482,485,
486,487,489,491,492,600,606,612,615,616,620,624,629,637,640,641,646,650,652,
653,655,657,662,665,666,668,673,675,676,681,682,683,684,686,688,706,708,713,
714,715,716,725,726,727,730,733,747,748,749,750,762,763,791,894,903,908,909,
912,913,926,929,940,943,948,950,962,965,1137],[1,2,3,6,7,8,9,10,11,12,13,14,
15,16,17,18,26,27,28,29,31,32,33,36,37,39,41,42,43,44,45,46,47,48,49,50,51,52,
53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,78,79,
106,112,113,114,115,116,117,118,121,122,123,124,125,127,128,129,130,131,132,
133,134,135,137,140,141,142,143,144,145,146,147,148,149,152,153,154,155,156,
157,158,159,163,164,165,166,167,170,171,173,174,175,176,177,180,181,182,183,
184,185,188,189,190,191,192,195,198,200,201,202,203,204,205,206,207,208,209,
210,211,212,215,217,220,222,223,225,227,228,229,231,292,295,298,300,302,305,
308,311,315,317,323,324,326,327,328,329,331,333,335,336,339,340,342,343,345,
346,349,350,362,363,364,366,367,369,370,371,372,375,378,379,382,383,384,387,
389,395,396,399,400,401,404,405,406,407,408,409,411,415,416,417,419,422,423,
424,425,427,432,433,434,437,439,440,441,442,443,444,446,447,448,449,461,462,
470,472,473,474,475,476,477,482,485,486,487,489,493,605,606,609,613,616,620,
624,629,637,640,642,646,651,652,653,654,657,663,665,666,667,668,673,674,676,
685,687,689,690,691,692,707,709,713,714,715,716,725,726,727,730,733,747,748,
749,750,762,763,792,895,902,903,906,910,911,913,925,929,940,944,949,951,962,
964,1138],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,17,18,26,27,28,29,30,31,32,36,
37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,
64,65,66,67,68,69,70,71,72,73,74,76,77,79,111,112,113,114,115,116,118,119,120,
122,123,124,125,126,127,128,129,131,132,133,134,135,136,138,139,140,141,142,
146,147,150,151,152,153,154,156,157,159,160,162,163,164,165,166,167,168,169,
170,171,172,173,175,176,177,179,182,185,186,189,190,191,193,195,196,197,198,
199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,
218,219,220,223,224,225,226,227,229,230,294,297,300,301,302,303,306,307,309,
310,320,321,324,327,329,330,331,332,333,334,336,337,339,341,342,343,344,347,
348,350,351,362,363,364,365,366,367,368,371,372,373,374,376,377,381,384,389,
391,392,393,394,397,398,402,404,406,409,410,411,412,413,414,415,418,420,421,
422,424,426,428,429,432,433,434,439,441,443,444,447,448,449,450,459,460,463,
469,470,471,475,478,479,480,483,487,488,489,490,491,492,601,603,612,617,618,
619,622,630,636,639,643,647,649,653,654,655,656,661,662,663,665,672,673,675,
681,682,683,685,691,692,706,709,711,712,717,718,722,723,724,731,732,751,752,
753,754,760,761,791,896,905,908,914,917,918,927,930,941,945,953,954,963,966,
1139],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,17,18,26,27,28,29,30,31,32,36,37,38,
39,40,41,42,44,45,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,
68,69,70,71,72,73,74,75,76,77,79,105,111,113,114,115,116,118,119,120,122,123,
124,125,127,128,129,130,131,132,133,134,135,136,138,139,142,143,144,145,146,
147,148,150,152,153,154,155,156,157,159,160,161,162,165,166,167,168,169,170,
171,172,174,175,176,177,178,179,182,185,186,190,191,193,195,196,198,200,201,
202,203,204,205,206,207,208,212,213,214,215,216,217,218,220,223,225,226,227,
229,230,293,294,297,301,302,307,309,310,320,321,323,324,325,327,328,330,331,
332,334,336,337,339,343,344,346,347,348,351,362,364,365,366,367,368,369,371,
373,374,376,377,380,381,384,387,391,393,394,397,398,402,405,407,409,410,411,
412,413,414,415,418,420,421,423,424,426,427,432,433,434,439,440,441,442,443,
444,445,447,448,449,459,460,463,469,470,471,473,478,479,480,483,488,490,491,
492,493,602,603,610,614,618,619,622,630,636,638,643,647,648,654,655,656,657,
661,662,663,664,666,672,674,675,684,686,687,688,689,690,707,708,711,712,717,
718,722,723,724,731,732,751,752,753,754,760,761,790,897,904,905,907,915,916,
918,928,930,941,947,952,955,963,969,1140],[1,2,3,6,7,8,9,10,11,12,15,16,17,18,
27,28,29,30,32,34,36,39,40,41,44,45,47,49,51,53,55,56,57,58,62,65,66,67,68,69,
70,71,72,73,74,75,76,77,80,106,107,108,113,118,119,120,122,125,127,128,129,
130,131,134,135,136,137,138,139,140,142,143,150,152,153,154,156,157,159,160,
161,162,164,165,168,169,172,173,174,177,178,179,185,186,191,192,207,208,211,
213,214,215,223,226,230,232,233,234,292,295,309,312,318,319,320,321,326,331,
347,351,357,360,363,365,367,369,372,376,377,380,381,393,394,397,398,409,411,
418,419,421,426,434,439,446,454,456,460,466,467,470,478,479,480,485,486,488,
492,495,500,503,598,604,623,632,642,651,658,667,676,715,719,722,729,736,745,
754,760,764,775,776,777,781,788,793,799,900,910,942,960,973,977,979,1141],[1,
2,3,6,7,8,10,11,12,13,15,16,17,18,26,29,31,32,33,35,36,41,42,43,44,45,48,49,
50,53,54,55,56,58,62,65,66,67,68,69,70,71,72,73,74,75,76,78,80,105,109,110,
114,116,117,121,123,124,127,128,129,130,131,134,135,136,137,138,140,141,142,
143,149,152,153,155,156,157,158,163,164,167,169,170,172,173,175,176,180,181,
183,184,189,190,193,201,205,206,210,211,212,213,223,228,231,232,233,234,293,
294,308,313,314,315,316,317,325,328,345,350,358,359,362,364,368,370,373,378,
379,382,383,395,396,399,400,405,407,417,419,421,425,436,440,442,445,451,461,
465,468,473,475,476,477,485,488,489,490,495,501,502,596,607,626,634,638,648,
664,670,672,718,720,725,728,738,743,748,763,766,772,773,780,784,787,793,800,
898,915,946,959,972,975,980,1142],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,17,18,
26,28,29,31,32,33,35,36,37,38,39,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,
58,62,64,65,66,67,68,69,70,72,73,74,75,76,78,79,80,109,110,111,114,116,117,
118,121,123,124,125,127,129,130,131,133,134,135,136,137,138,140,141,142,143,
148,149,152,153,155,157,158,159,163,164,167,169,170,171,172,173,175,180,181,
183,184,189,190,193,194,197,198,200,201,204,205,206,210,211,212,213,214,215,
216,219,223,225,227,228,231,232,233,234,294,296,298,301,306,308,313,314,315,
316,317,328,333,335,341,342,345,346,350,358,359,362,363,366,368,370,373,375,
378,379,382,383,395,396,399,400,401,404,406,407,408,417,419,421,422,425,427,
433,436,449,450,451,461,462,465,468,472,473,474,475,476,477,485,486,487,488,
489,490,495,501,502,597,607,625,626,633,634,639,644,649,655,670,672,711,720,
726,727,728,735,740,742,743,747,749,750,762,763,765,769,774,779,783,785,793,
800,899,914,946,961,970,978,980,1143],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,17,
18,27,28,29,30,31,32,34,36,37,39,40,41,42,44,45,46,47,48,49,50,51,52,53,55,56,
57,58,62,64,65,66,67,68,69,70,71,72,73,74,76,77,79,80,107,108,112,113,116,118,
119,120,122,124,125,127,128,129,131,133,134,135,136,137,138,139,140,142,143,
147,150,152,153,154,157,159,160,161,162,164,165,166,167,168,169,172,173,177,
178,179,185,186,187,191,192,194,198,202,204,207,208,209,210,211,212,213,214,
215,221,223,226,227,229,230,232,233,234,295,296,297,300,304,309,312,318,319,
320,321,327,331,332,334,337,338,347,351,357,360,363,365,367,368,371,372,374,
376,377,380,381,393,394,397,398,402,410,411,412,413,418,419,420,421,424,426,
435,443,449,454,456,460,463,466,467,469,470,471,478,479,480,485,486,488,490,
491,492,495,500,503,599,604,621,623,631,632,641,645,650,653,658,676,713,719,
723,724,729,737,739,744,745,751,752,753,760,761,767,770,771,778,782,786,793,
799,901,909,942,958,971,976,979,1144],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,17,
18,27,28,29,30,31,32,34,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,
55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,
107,108,111,112,113,116,118,119,120,122,124,127,128,129,130,131,133,134,136,
138,139,142,146,147,149,150,152,154,156,160,161,162,165,166,167,168,169,172,
174,177,178,179,182,185,186,187,189,191,192,194,195,196,197,198,202,204,207,
208,209,210,211,212,213,214,215,217,218,219,221,223,226,227,228,229,230,231,
232,233,234,235,236,237,238,295,296,297,300,304,306,307,309,312,318,319,320,
321,322,327,331,332,334,337,338,343,347,349,351,352,353,357,360,368,369,371,
374,376,377,380,381,386,390,393,394,397,398,402,410,411,412,413,415,416,418,
420,421,424,425,426,437,446,454,455,456,457,460,463,466,467,469,470,471,478,
479,480,482,488,490,491,492,495,496,497,498,499,501,502,505,599,608,621,623,
628,631,632,641,645,646,651,658,660,668,697,698,699,700,701,705,723,724,729,
737,739,744,745,751,752,753,756,758,760,761,764,771,775,776,782,788,796,797,
798,800,893,901,960,967,973,976,981,985,989,994,999,1145],[1,2,3,6,7,8,9,10,
11,12,13,14,15,16,17,18,26,28,29,31,32,33,35,36,37,38,39,41,42,43,44,45,46,47,
48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,
75,76,77,78,79,80,109,110,111,112,114,116,117,118,121,123,125,127,128,129,130,
131,133,135,137,140,141,143,146,148,149,150,153,155,156,158,159,163,164,170,
171,173,175,176,180,181,182,183,184,186,187,188,189,190,193,194,195,197,198,
200,201,204,205,206,210,211,212,213,214,215,216,219,220,221,222,223,225,226,
227,228,230,231,232,233,234,235,236,237,238,294,296,298,301,304,305,306,308,
313,314,315,316,317,328,333,335,339,341,342,345,346,348,350,354,355,356,358,
359,363,364,366,375,378,379,382,383,385,388,395,396,399,400,401,404,406,407,
408,414,415,417,419,422,425,426,427,436,438,445,451,452,459,461,462,465,468,
472,473,474,475,476,477,483,485,486,487,489,495,496,497,498,499,500,503,505,
597,611,625,626,627,633,634,639,644,647,648,661,670,671,679,693,694,695,696,
703,726,727,728,735,740,742,743,747,749,750,757,759,762,763,766,772,773,774,
783,787,794,795,798,799,891,899,959,968,972,978,982,983,990,996,998,1146],[1,
2,3,6,7,8,10,11,12,13,14,15,16,17,18,26,29,31,32,33,35,36,37,41,42,43,44,45,
46,48,49,50,53,54,55,56,57,58,59,60,62,63,66,68,69,70,72,73,74,75,76,77,78,80,
105,109,110,112,114,116,117,121,123,127,129,130,131,135,137,140,141,143,149,
150,153,155,158,163,164,170,173,180,181,183,184,186,187,188,189,190,193,195,
201,205,206,210,211,212,213,220,221,222,223,226,228,230,231,232,233,234,235,
236,237,238,293,294,304,305,308,313,314,315,316,317,325,328,345,350,354,355,
356,358,359,362,378,379,382,383,385,388,395,396,399,400,405,407,417,419,425,
426,436,438,450,451,452,461,465,468,473,475,476,477,485,489,495,496,497,498,
499,500,503,505,596,611,626,627,634,638,649,670,671,679,680,694,695,696,702,
725,728,738,743,748,757,759,763,765,769,779,780,784,785,794,795,798,799,890,
898,961,968,970,975,982,984,988,995,1001,1147],[1,2,3,6,7,8,9,10,11,12,14,15,
16,17,18,27,28,29,30,32,34,36,37,38,39,40,41,44,45,47,49,51,53,54,55,56,57,58,
59,60,61,62,66,67,68,69,70,71,73,74,76,77,78,80,106,107,108,111,113,118,119,
120,122,127,128,129,131,134,136,138,139,142,149,150,152,154,160,161,162,165,
168,169,172,178,179,185,186,189,191,192,195,196,197,207,208,211,213,214,215,
217,218,219,223,226,228,230,231,232,233,234,235,236,237,238,292,295,306,307,
309,312,318,319,320,321,322,326,331,347,351,352,353,357,360,367,376,377,380,
381,386,390,393,394,397,398,409,411,418,421,425,426,435,454,455,456,457,460,
466,467,470,478,479,480,488,492,495,496,497,498,499,501,502,505,598,608,623,
628,632,642,650,658,660,678,698,699,700,701,704,722,729,736,745,754,756,758,
760,767,770,777,778,781,786,796,797,798,800,892,900,958,967,971,977,981,986,
991,997,1000,1148],[1,2,3,4,5,6,11,17,21,22,23,27,28,55,73,81,84,86,94,96,98,
106,165,208,239,253,261,263,284,326,506,514,523,537,564,807,820,850,1004,
1149],[1,2,3,4,5,7,15,17,21,22,23,26,31,58,66,81,83,89,93,96,99,105,170,201,
239,254,259,264,285,325,507,515,522,547,565,808,819,852,1003,1150],[1,2,3,4,5,
6,7,8,10,12,14,16,18,21,22,24,29,37,41,50,51,59,60,65,70,81,83,84,85,87,90,95,
97,101,115,156,157,195,204,239,248,249,257,258,260,274,286,336,508,516,517,
524,553,573,809,816,818,862,1005,1151],[1,2,3,4,5,6,8,9,11,14,17,18,21,22,23,
24,28,38,40,54,55,60,61,69,71,81,84,85,86,87,88,90,94,95,96,97,98,101,107,161,
179,197,218,239,253,256,257,258,260,261,275,276,284,286,352,506,508,519,520,
525,529,555,558,570,572,807,809,823,824,859,861,1007,1152],[1,2,3,4,5,7,8,13,
14,15,17,18,21,22,23,24,31,43,46,57,58,60,63,74,75,81,83,85,87,89,90,92,93,95,
96,97,99,101,109,180,184,187,222,239,254,257,258,259,260,262,270,272,285,286,
354,507,508,518,521,527,530,552,560,567,571,808,809,821,822,857,858,1006,
1153],[1,2,3,4,5,6,7,8,10,12,16,20,23,24,27,29,41,49,51,67,81,83,84,85,87,90,
95,115,167,207,241,247,263,274,324,508,516,517,524,814,840,1005,1154],[1,2,3,
4,5,6,7,8,10,12,16,20,23,24,26,29,41,49,50,72,81,83,84,85,87,90,95,115,159,
205,241,246,264,274,323,508,516,517,524,813,841,1005,1155],[1,2,3,4,5,6,11,17,
22,23,24,27,28,55,73,81,84,86,94,106,165,208,240,261,263,275,326,506,514,523,
820,844,1004,1156],[1,2,3,4,5,7,15,17,22,23,24,26,31,58,66,81,83,89,93,105,
170,201,240,259,264,270,325,507,515,522,819,842,1003,1157],[1,2,3,4,5,6,7,10,
12,15,16,20,21,23,27,32,41,45,49,51,67,81,84,86,93,94,99,100,102,106,113,122,
185,207,241,246,248,263,267,279,288,292,506,514,523,532,541,543,561,803,805,
833,866,1004,1158],[1,2,3,4,5,6,7,10,11,12,16,20,21,23,26,36,41,44,49,50,72,
81,83,89,93,94,98,100,102,105,114,123,205,206,241,247,249,264,271,280,288,293,
507,515,522,533,542,546,562,804,806,832,868,1003,1159],[1,2,3,6,11,17,18,19,
27,28,55,71,73,80,82,106,161,165,208,232,242,326,454,466,777,812,1012,1160],[
1,2,3,7,15,17,18,19,26,31,58,66,75,80,82,105,170,180,201,234,242,325,436,465,
780,811,1011,1161],[1,2,4,7,23,25,26,83,93,103,105,243,264,513,522,585,876,
1016,1162],[1,2,4,6,23,25,27,84,94,103,106,243,263,513,523,584,877,1017,
1163],[1,2,3,4,8,9,11,14,18,21,23,25,38,40,60,61,71,90,91,98,103,218,243,250,
251,260,266,276,513,540,558,1015,1164],[1,2,3,4,8,13,14,15,18,21,23,25,43,46,
60,63,75,85,91,99,103,222,243,250,255,258,268,272,513,545,552,1014,1165],[1,2,
3,4,6,7,11,12,15,16,17,20,21,23,25,44,45,49,55,58,62,76,83,84,100,103,223,243,
246,247,253,254,267,271,513,551,557,1013,1166],[1,2,4,17,23,25,77,78,80,96,
103,238,243,281,282,513,580,581,1167],[1,3,4,5,8,14,18,19,21,22,60,81,82,87,
91,239,250,257,511,588,591,1168],[1,3,4,5,9,14,18,19,21,22,61,81,82,88,91,239,
251,256,511,589,591,1169],[1,3,4,5,13,14,18,19,21,22,63,81,82,91,92,239,255,
262,511,590,591,1170],[1,3,4,5,8,14,18,19,21,22,24,60,81,82,85,87,90,95,97,
101,104,239,240,242,257,258,260,286,290,508,510,588,592,809,879,1020,1171],[1,
2,3,4,6,7,8,10,12,13,15,16,20,27,29,31,32,33,35,41,42,43,45,48,49,51,67,83,90,
106,109,110,113,115,116,117,121,122,166,167,185,207,247,292,311,313,324,327,
371,517,521,594,600,613,814,883,1021,1172],[1,2,3,4,6,7,8,9,10,11,12,16,20,26,
28,29,30,34,36,39,40,41,44,47,49,50,72,84,85,105,107,108,114,115,118,119,120,
123,159,171,205,206,246,293,310,312,323,346,366,516,520,595,601,614,813,884,
1022,1173],[1,2,3,4,6,7,8,9,10,11,12,14,16,17,18,21,26,28,29,30,34,36,37,38,
39,40,41,44,47,50,51,52,53,54,55,59,60,61,65,66,69,70,71,72,84,85,107,108,111,
114,115,118,119,120,125,127,128,153,156,157,161,162,164,170,173,176,177,178,
179,189,195,196,197,200,204,206,211,216,217,218,219,248,253,258,301,306,307,
310,312,322,329,336,342,343,344,350,352,353,362,363,364,365,380,381,516,520,
595,602,603,604,617,618,628,815,816,823,886,1022,1174],[1,2,3,4,6,7,8,10,12,
13,14,15,16,17,18,21,27,29,31,32,33,35,37,41,42,43,45,46,48,50,51,52,56,57,58,
59,60,63,65,67,70,73,74,75,83,90,109,110,112,113,115,116,117,121,124,129,130,
152,156,157,165,169,172,174,175,180,181,183,184,185,186,187,188,195,202,204,
209,213,220,221,222,249,254,260,300,304,305,311,313,330,336,337,339,340,351,
354,355,356,367,368,369,370,382,383,517,521,594,605,606,607,615,616,627,817,
818,821,885,1021,1175],[1,2,3,4,6,7,8,9,10,11,12,13,15,16,17,23,26,27,28,29,
30,31,32,33,35,36,39,40,41,42,43,44,45,47,48,49,50,51,52,53,55,56,58,62,64,66,
67,68,72,73,76,83,90,109,110,113,114,115,116,117,118,119,120,121,131,132,133,
134,135,153,155,158,159,163,164,190,191,192,193,194,198,200,201,202,203,205,
207,208,210,211,212,213,214,215,223,264,271,276,294,295,296,297,298,299,302,
308,309,310,311,313,314,315,316,317,323,328,329,333,335,345,372,375,378,379,
384,517,521,594,620,624,625,626,637,677,825,841,843,889,1021,1176],[1,2,3,4,6,
7,8,9,10,11,12,13,15,16,17,23,26,27,28,29,30,31,32,33,34,36,39,40,41,42,43,44,
45,47,48,49,50,51,52,53,55,56,58,62,64,66,67,68,72,73,76,84,85,107,108,113,
114,115,116,117,118,119,120,121,131,132,133,134,135,152,154,160,167,168,169,
190,191,192,193,194,198,200,201,202,203,205,207,208,210,211,212,213,214,215,
223,263,267,272,294,295,296,297,298,299,302,308,309,310,311,312,318,319,320,
321,324,330,331,332,334,347,373,374,376,377,384,516,520,595,619,621,622,623,
636,677,826,840,845,888,1022,1177],[1,2,3,4,6,7,8,9,10,11,12,13,15,16,17,20,
21,23,26,27,28,29,30,31,32,33,35,36,39,40,41,42,43,44,45,47,48,49,50,51,52,53,
55,56,58,62,64,66,67,68,72,73,76,84,85,93,98,100,109,110,113,114,115,116,117,
118,119,120,121,131,132,133,134,135,153,155,158,159,163,164,190,191,192,193,
194,198,200,201,202,203,205,207,208,210,211,212,213,214,215,223,246,248,253,
263,267,272,280,294,295,296,297,298,299,302,308,309,310,311,313,314,315,316,
317,323,328,329,333,335,345,372,375,378,379,384,516,530,532,537,538,541,551,
594,620,624,625,626,637,677,813,815,826,834,889,1025,1041,1042,1178],[1,2,3,4,
6,7,8,9,10,11,12,13,15,16,17,20,21,23,26,27,28,29,30,31,32,33,34,36,39,40,41,
42,43,44,45,47,48,49,50,51,52,53,55,56,58,62,64,66,67,68,72,73,76,83,90,94,99,
100,107,108,113,114,115,116,117,118,119,120,121,131,132,133,134,135,152,154,
160,167,168,169,190,191,192,193,194,198,200,201,202,203,205,207,208,210,211,
212,213,214,215,223,247,249,254,264,271,276,279,294,295,296,297,298,299,302,
308,309,310,311,312,318,319,320,321,324,330,331,332,334,347,373,374,376,377,
384,517,529,533,546,547,548,557,595,619,621,622,623,636,677,814,817,825,836,
888,1026,1037,1039,1179],[1,2,3,5,6,7,8,9,10,11,12,15,16,17,24,27,28,29,30,32,
34,36,39,40,41,44,45,47,49,51,53,55,56,57,58,62,66,67,68,73,74,76,77,86,87,88,
106,107,108,113,118,119,120,122,129,131,134,136,138,139,142,150,152,154,160,
165,168,169,172,185,186,191,192,207,208,211,213,214,215,223,226,230,273,274,
275,278,292,295,309,312,318,319,320,321,326,331,347,351,357,360,367,376,377,
393,394,397,398,409,411,418,421,426,460,470,478,479,480,488,492,514,519,536,
598,623,632,642,722,736,745,754,760,828,839,844,872,900,1024,1180],[1,2,3,5,6,
7,8,10,11,12,13,15,16,17,24,26,29,31,32,33,35,36,41,42,43,44,45,48,49,50,53,
54,55,56,58,62,66,68,69,72,73,76,78,87,89,92,105,109,110,114,116,117,121,123,
127,131,135,137,140,141,143,149,153,155,158,163,164,170,173,189,190,193,201,
205,206,210,211,212,213,223,228,231,269,270,274,277,293,294,308,313,314,315,
316,317,325,328,345,350,358,359,362,378,379,395,396,399,400,405,407,417,419,
425,461,473,475,476,477,485,489,515,518,535,596,626,634,638,725,738,743,748,
763,827,838,842,871,898,1023,1181],[1,2,3,4,6,7,10,11,12,13,14,15,16,17,18,20,
21,23,26,31,33,36,41,44,45,46,48,49,50,53,54,55,57,58,59,62,63,66,72,74,75,76,
77,80,83,91,93,98,100,105,114,121,123,135,140,141,163,164,170,173,180,181,187,
188,189,201,205,206,210,211,212,223,230,234,236,237,247,249,252,255,264,268,
280,281,293,308,325,345,350,356,359,385,436,438,450,465,475,476,489,498,503,
522,542,546,556,574,679,680,738,779,780,785,794,831,832,988,1046,1067,1069,
1182],[1,2,3,4,6,7,9,10,11,12,14,15,16,17,18,20,21,23,27,28,30,32,38,41,44,45,
47,49,51,54,55,56,57,58,59,61,62,67,69,71,73,76,78,80,84,91,94,99,100,106,113,
120,122,134,138,139,161,162,165,168,169,172,185,186,196,197,207,208,213,214,
215,223,228,232,235,237,246,248,251,252,263,266,279,282,292,309,322,326,347,
351,360,386,435,454,455,466,479,480,492,499,502,523,541,543,550,575,678,701,
736,777,778,786,797,830,833,991,1045,1064,1070,1183],[1,2,3,4,6,7,8,10,11,12,
14,15,16,17,18,20,21,23,26,27,29,32,36,37,41,49,50,51,52,53,55,56,58,59,60,64,
65,66,67,68,70,72,73,76,79,83,84,91,96,100,102,115,122,123,124,125,126,131,
132,133,134,135,138,139,140,141,142,143,144,145,146,147,148,151,152,153,156,
157,159,164,165,167,169,170,172,173,182,185,195,199,200,202,203,204,205,206,
207,209,211,213,216,224,225,227,229,246,247,248,249,250,252,263,264,265,283,
287,323,324,329,330,336,384,387,389,391,392,405,406,409,410,415,420,422,423,
424,427,428,429,430,432,433,434,439,440,441,442,443,444,447,448,449,462,463,
464,476,479,481,486,489,490,492,494,541,546,549,561,562,563,564,565,566,582,
682,686,689,692,706,707,708,709,710,730,732,734,790,791,792,829,863,864,865,
993,1059,1063,1073,1184],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,21,23,27,
28,29,31,32,33,36,37,39,41,42,43,45,46,47,48,50,51,52,53,55,56,59,60,62,63,65,
66,67,68,70,72,73,75,76,84,85,98,99,102,112,113,115,116,117,118,121,122,124,
130,131,135,139,153,155,156,157,158,159,164,166,167,168,172,174,175,185,188,
190,191,192,195,198,200,202,204,208,209,210,211,214,215,220,222,248,253,258,
263,267,272,289,295,298,300,305,311,315,317,329,332,335,336,338,339,340,369,
370,371,372,379,410,412,433,437,441,480,516,537,538,543,552,561,600,616,624,
641,665,668,714,815,816,826,849,948,1040,1042,1072,1185],[1,2,3,4,6,7,8,9,10,
11,12,13,14,15,16,17,18,21,23,26,28,29,30,31,32,36,37,38,39,40,41,42,44,47,48,
50,51,52,53,56,58,59,60,61,62,65,66,67,68,70,71,72,73,76,83,90,98,99,102,111,
114,115,116,118,119,120,123,125,128,131,134,141,152,154,156,157,159,160,163,
167,169,171,173,176,177,190,191,193,195,196,198,200,201,202,204,206,210,212,
213,214,216,217,218,249,254,260,264,271,276,289,294,297,301,307,310,320,321,
330,333,334,336,341,343,344,364,365,366,373,377,404,406,441,443,459,475,517,
542,547,548,558,562,601,618,622,639,661,662,712,817,818,825,848,954,1038,1039,
1071,1186],[1,2,3,4,6,7,8,9,10,11,12,16,23,26,28,29,30,34,36,39,40,41,44,47,
49,50,72,83,90,93,94,102,105,107,108,114,115,118,119,120,123,159,171,205,206,
264,271,276,288,293,310,312,323,346,366,517,522,529,533,562,595,601,614,825,
841,868,884,1026,1058,1071,1187],[1,2,3,4,6,7,8,10,12,13,15,16,23,27,29,31,32,
33,35,41,42,43,45,48,49,51,67,84,85,93,94,102,106,109,110,113,115,116,117,121,
122,166,167,185,207,263,267,272,288,292,311,313,324,327,371,516,523,530,532,
561,594,600,613,826,840,866,883,1025,1057,1072,1188],[1,2,3,4,6,7,10,12,13,14,
15,16,17,18,20,21,23,26,31,33,41,45,46,48,49,50,57,58,59,63,66,68,72,73,74,75,
76,77,78,80,83,91,96,100,102,121,123,131,135,137,140,141,143,149,153,155,158,
163,164,170,180,181,187,188,201,205,230,234,235,238,247,249,252,255,264,268,
281,287,345,356,379,385,396,400,405,407,419,436,438,450,461,465,489,496,500,
546,556,562,565,581,679,702,725,759,765,779,784,831,863,995,1051,1060,1067,
1189],[1,2,3,4,6,7,9,10,11,12,14,16,17,18,20,21,23,27,28,30,38,41,44,47,49,51,
54,55,59,61,66,67,68,69,71,73,76,77,78,80,84,91,96,100,102,120,122,131,134,
136,138,139,142,150,152,154,160,161,162,165,168,169,196,197,207,208,228,232,
236,238,246,248,251,252,263,266,282,287,322,347,377,386,394,398,409,411,421,
435,454,455,460,466,492,497,501,541,550,561,564,580,701,704,722,758,767,778,
781,830,864,997,1052,1061,1064,1190],[1,2,3,4,6,7,10,11,12,13,14,15,16,17,23,
26,31,32,36,37,41,42,44,46,48,49,50,56,57,58,66,68,69,72,73,74,77,83,91,93,94,
102,105,112,114,116,123,127,129,131,143,150,153,155,170,186,187,190,193,201,
205,206,213,221,226,230,264,265,268,271,281,288,293,294,304,325,328,362,385,
388,405,407,426,450,473,522,533,534,562,577,611,638,649,680,702,831,868,890,
1046,1053,1060,1191],[1,2,3,4,6,7,9,10,11,12,14,15,16,17,23,27,28,32,36,37,38,
39,41,45,47,49,51,53,54,55,66,67,68,69,73,74,78,84,91,93,94,102,106,111,113,
118,122,127,129,131,142,149,152,154,165,185,189,191,192,197,207,208,211,219,
228,231,263,265,266,267,282,288,292,295,306,326,331,367,386,390,409,411,425,
435,470,523,531,532,561,576,608,642,650,678,704,830,866,892,1045,1054,1061,
1192],[1,2,3,4,6,7,8,9,10,11,12,15,16,17,18,20,21,23,26,27,28,29,30,32,36,39,
40,41,44,45,47,49,50,51,52,55,56,58,62,64,66,67,69,70,71,72,73,76,83,90,96,
100,102,113,114,115,118,119,120,123,127,128,133,134,135,140,141,152,153,154,
156,159,162,164,167,168,169,170,171,176,179,200,202,203,205,207,208,213,214,
215,223,247,249,254,264,271,276,287,302,309,310,324,330,331,332,334,347,362,
364,366,372,373,374,381,422,439,444,487,489,517,546,557,562,565,572,601,603,
619,663,673,711,712,814,817,825,863,945,1037,1047,1071,1193],[1,2,3,4,6,7,8,
10,11,12,13,15,16,17,18,20,21,23,26,27,29,31,32,33,36,41,42,43,44,45,48,49,50,
51,52,53,55,58,62,64,66,67,70,72,73,74,75,76,84,85,96,100,102,113,114,115,116,
117,121,122,129,130,133,134,135,138,139,152,153,155,156,159,163,164,165,166,
167,169,174,181,184,200,201,202,203,205,207,210,211,212,223,246,248,253,263,
267,272,287,302,308,311,323,328,329,333,335,345,367,369,371,372,373,375,383,
420,432,440,491,492,516,541,551,561,564,571,600,606,620,666,675,713,714,813,
815,826,864,943,1041,1048,1072,1194],[1,2,3,4,7,8,10,11,13,14,15,16,17,18,21,
23,26,31,36,43,46,50,54,56,57,58,60,62,63,66,69,72,74,75,77,80,83,91,98,99,
102,109,123,127,140,141,143,155,158,163,170,173,180,184,187,189,190,201,206,
210,222,230,234,236,237,249,250,254,255,264,268,281,289,314,316,354,359,385,
396,407,417,436,450,452,465,473,475,477,498,503,542,545,547,562,574,634,696,
702,769,784,785,794,831,848,1001,1060,1066,1069,1195],[1,2,3,4,6,8,9,10,11,14,
15,16,17,18,21,23,27,28,32,38,40,51,53,54,55,57,60,61,62,67,69,71,73,74,78,80,
84,91,98,99,102,107,122,129,138,139,142,154,160,161,165,168,172,179,185,186,
191,197,208,214,218,228,232,235,237,248,250,251,253,263,266,282,289,318,319,
352,360,386,394,411,418,435,454,457,466,470,478,480,499,502,537,540,543,561,
575,632,699,704,770,781,786,797,830,849,1000,1061,1065,1070,1196],[1,2,3,4,6,
7,8,10,11,12,13,14,15,16,17,18,20,21,23,26,27,29,31,32,33,36,37,41,42,43,44,
45,46,48,49,50,51,52,53,55,58,59,60,62,63,64,65,66,67,70,72,75,76,79,84,85,94,
99,100,106,112,113,114,115,116,117,121,122,124,130,133,135,147,153,155,156,
157,159,163,164,166,167,174,175,185,188,195,200,201,202,203,204,205,207,209,
210,211,212,220,222,223,227,229,246,248,253,258,263,267,272,279,292,300,302,
305,308,311,323,324,327,328,329,333,335,336,339,340,345,369,370,371,372,375,
387,389,424,432,433,434,439,440,441,516,523,541,543,551,552,609,613,616,620,
665,666,667,689,690,691,692,813,815,816,826,833,840,964,1040,1041,1057,1075,
1079,1197],[1,2,3,4,6,7,8,9,10,11,12,14,15,16,17,18,20,21,23,26,27,28,29,30,
32,36,37,38,39,40,41,44,45,47,49,50,51,52,55,56,58,59,60,61,62,64,65,67,70,71,
72,73,76,79,83,90,93,98,100,105,111,113,114,115,118,119,120,123,125,128,133,
134,148,152,154,156,157,159,167,168,169,171,176,177,195,196,200,202,203,204,
205,206,207,208,213,214,215,216,217,218,223,225,227,247,249,254,260,264,271,
276,280,293,301,302,307,309,310,323,324,330,331,332,334,336,343,344,346,347,
364,365,366,373,374,387,391,427,439,440,441,442,443,444,517,522,542,546,557,
558,610,614,618,619,662,663,664,686,687,688,689,814,817,818,825,832,841,969,
1037,1038,1058,1074,1076,1198],[1,2,3,4,6,7,10,11,12,13,14,15,16,17,21,23,26,
31,32,36,37,41,42,44,46,48,50,53,54,55,56,57,58,62,66,68,69,72,73,74,77,78,80,
83,91,94,96,98,112,114,116,127,129,131,137,140,143,149,150,155,158,164,170,
173,186,187,189,190,193,201,206,210,211,213,221,226,228,230,231,232,233,234,
235,236,237,238,249,264,265,268,271,281,284,294,304,317,350,358,359,385,388,
399,400,419,425,426,465,468,473,477,495,496,497,498,499,500,503,505,533,534,
542,565,574,577,581,611,728,743,757,759,794,795,798,799,831,853,875,982,1051,
1053,1069,1199],[1,2,3,4,6,7,9,10,11,12,14,15,16,17,21,23,27,28,32,36,37,38,
39,41,45,47,51,53,54,55,56,57,58,62,66,67,68,69,73,74,77,78,80,84,91,93,96,99,
111,113,118,127,129,131,136,138,142,149,150,154,160,165,169,172,185,186,189,
191,192,197,208,211,213,214,219,226,228,230,231,232,233,234,235,236,237,238,
248,263,265,266,267,282,285,295,306,321,351,357,360,386,390,397,398,421,425,
426,466,467,470,478,495,496,497,498,499,501,502,505,531,532,543,564,575,576,
580,608,729,745,756,758,796,797,798,800,830,851,874,981,1052,1054,1070,1200],[
1,2,3,4,6,7,8,9,10,11,12,14,15,16,17,18,20,21,23,27,28,29,30,32,34,36,37,38,
39,40,41,44,45,47,49,51,53,54,55,56,58,59,60,61,62,66,67,68,69,70,71,73,76,78,
84,91,93,98,100,107,108,111,113,118,119,120,127,128,131,134,149,152,154,160,
161,162,168,169,178,179,189,191,192,195,196,197,207,208,211,213,214,215,217,
218,219,223,228,231,246,248,250,251,252,253,263,265,266,267,280,282,295,306,
307,309,312,318,319,320,321,322,331,347,352,353,376,377,380,381,386,390,425,
454,455,456,457,531,532,537,538,539,540,541,549,550,551,576,608,623,628,658,
660,698,699,700,701,830,834,835,967,1054,1064,1065,1201],[1,2,3,4,6,7,8,10,11,
12,13,14,15,16,17,18,20,21,23,26,27,29,31,32,33,36,37,41,42,43,44,45,46,48,49,
50,51,52,53,55,58,59,60,62,63,64,65,66,67,70,72,75,76,79,83,84,91,94,99,100,
106,112,113,114,115,116,117,121,122,124,130,133,135,147,153,155,156,157,159,
163,164,166,167,174,175,185,188,195,200,201,202,203,204,205,207,209,210,211,
212,220,222,223,227,229,246,247,248,249,250,252,254,255,263,264,265,268,271,
279,283,292,300,302,305,308,311,323,324,327,328,329,333,335,336,339,340,345,
369,370,371,372,375,387,389,424,432,433,434,439,440,441,523,533,534,541,543,
544,545,546,547,548,549,556,557,579,609,613,616,620,665,666,667,689,690,691,
692,829,833,836,837,964,1056,1062,1063,1202],[1,2,3,4,6,7,8,10,11,12,13,14,15,
16,17,18,20,21,23,26,29,31,32,33,35,36,37,41,42,43,44,45,46,48,49,50,53,55,56,
57,58,59,60,62,63,66,68,70,72,73,74,75,76,77,83,91,94,99,100,109,110,112,114,
116,117,121,129,130,131,135,150,153,155,158,163,164,180,181,183,184,186,187,
188,190,193,195,201,205,210,211,212,213,220,221,222,223,226,230,247,249,250,
252,254,255,264,265,268,271,279,281,294,304,305,308,313,314,315,316,317,328,
345,354,355,356,378,379,382,383,385,388,426,436,438,451,452,533,534,544,545,
546,547,548,549,556,557,577,611,626,627,670,671,679,694,695,696,831,836,837,
968,1053,1066,1067,1203],[1,2,3,4,6,7,8,9,10,11,12,14,15,16,17,18,20,21,23,26,
27,28,29,30,32,36,37,38,39,40,41,44,45,47,49,50,51,52,55,56,58,59,60,61,62,64,
65,67,70,71,72,73,76,79,83,84,91,93,98,100,105,111,113,114,115,118,119,120,
123,125,128,133,134,148,152,154,156,157,159,167,168,169,171,176,177,195,196,
200,202,203,204,205,206,207,208,213,214,215,216,217,218,223,225,227,246,247,
248,249,250,251,252,253,263,264,265,266,267,280,283,293,301,302,307,309,310,
323,324,330,331,332,334,336,343,344,346,347,364,365,366,373,374,387,391,427,
439,440,441,442,443,444,522,531,532,537,538,539,540,541,542,546,549,550,551,
578,610,614,618,619,662,663,664,686,687,688,689,829,832,834,835,969,1055,1063,
1068,1204],[1,2,3,5,6,8,9,11,14,17,18,22,27,28,38,40,54,55,60,61,69,71,73,77,
78,80,86,87,88,106,107,136,150,160,161,165,179,197,208,218,228,232,236,238,
256,257,261,318,326,352,386,398,435,454,457,466,497,501,514,519,536,598,678,
699,758,767,770,777,820,824,870,986,1024,1205],[1,2,3,5,7,8,13,14,15,17,18,22,
26,31,43,46,57,58,60,63,66,74,75,77,78,80,87,89,92,105,109,137,149,158,170,
180,184,187,201,222,230,234,235,238,257,259,262,314,325,354,385,400,436,450,
452,465,496,500,515,518,535,596,680,696,759,765,769,780,819,822,869,984,1023,
1206],[1,2,3,4,6,7,9,10,11,12,13,14,15,16,17,18,21,23,26,27,28,31,32,36,37,39,
41,42,47,48,49,50,51,52,54,55,57,58,61,62,63,64,65,66,67,70,72,73,79,83,84,91,
98,99,102,116,118,122,123,124,125,126,133,138,139,140,141,144,145,147,148,151,
152,153,154,155,156,159,163,166,167,168,171,172,173,175,177,185,186,189,194,
199,200,201,202,203,204,205,206,207,208,209,210,214,216,217,220,224,225,227,
229,248,249,251,253,254,255,263,264,265,283,289,296,327,328,331,332,333,337,
339,342,343,346,359,360,361,387,389,391,392,401,402,403,420,422,423,424,427,
428,429,430,432,433,434,439,440,441,442,443,444,447,448,449,471,474,475,480,
484,537,539,542,543,544,547,561,562,563,582,681,683,684,685,687,688,690,691,
710,742,744,746,790,791,792,829,847,848,849,992,1059,1062,1068,1207],[1,2,3,4,
6,8,9,11,14,17,18,21,23,27,28,38,40,54,55,60,61,69,71,73,77,78,80,84,91,94,96,
98,106,107,136,150,160,161,165,179,197,208,218,228,232,236,238,250,251,253,
263,266,282,284,318,326,352,386,398,435,454,457,466,497,501,523,537,540,564,
580,598,678,699,758,767,770,777,830,850,986,1045,1052,1065,1208],[1,2,3,4,7,8,
13,14,15,17,18,21,23,26,31,43,46,57,58,60,63,66,74,75,77,78,80,83,91,93,96,99,
105,109,137,149,158,170,180,184,187,201,222,230,234,235,238,250,254,255,264,
268,281,285,314,325,354,385,400,436,450,452,465,496,500,522,545,547,565,581,
596,680,696,759,765,769,780,831,852,984,1046,1051,1066,1209],[1,2,3,4,6,7,8,9,
10,11,12,13,15,16,17,18,21,23,27,28,29,31,32,33,36,39,41,42,43,45,47,48,49,51,
52,53,55,56,62,66,67,68,70,72,73,74,75,76,84,85,94,96,98,106,113,115,116,117,
118,121,122,129,130,131,135,142,152,153,154,155,156,158,159,164,165,166,167,
174,181,184,185,190,191,192,198,200,207,208,210,211,215,248,253,263,267,272,
284,292,295,298,311,315,317,324,326,327,329,331,335,367,369,371,372,379,383,
409,411,434,437,439,470,516,523,537,538,564,571,606,613,624,642,667,668,713,
815,826,840,850,949,1042,1048,1057,1210],[1,2,3,4,6,7,8,9,10,11,12,13,15,16,
17,18,21,23,26,28,29,30,31,32,36,39,40,41,42,44,47,48,49,50,52,53,56,58,62,66,
67,68,69,70,71,72,73,76,83,90,93,96,99,105,114,115,116,118,119,120,123,127,
128,131,134,143,152,153,154,155,156,159,160,162,167,169,170,171,176,179,190,
191,193,198,201,202,205,206,212,213,214,249,254,264,271,276,285,293,294,297,
310,320,321,323,325,328,330,334,346,362,364,366,373,377,381,405,407,440,442,
459,473,517,522,547,548,565,572,603,614,622,638,661,664,711,817,825,841,852,
955,1039,1047,1058,1211],[1,2,3,4,6,7,10,11,12,13,14,15,16,17,18,21,23,26,27,
31,32,36,37,38,41,42,44,45,48,49,50,51,52,56,57,58,63,64,65,66,67,68,69,70,71,
72,73,76,79,83,84,91,93,96,99,105,111,113,114,116,123,125,127,128,131,133,134,
139,142,143,146,148,152,153,155,156,165,166,167,169,170,172,175,176,182,185,
186,190,193,200,201,202,203,204,205,206,207,213,216,220,225,227,248,254,255,
263,264,265,266,267,283,285,293,294,301,302,325,327,328,337,339,348,351,362,
364,373,387,391,405,407,409,410,413,414,415,427,433,434,440,442,448,449,469,
473,479,483,522,531,532,543,544,547,564,565,566,578,610,638,643,647,654,655,
664,684,690,707,708,829,851,852,854,897,1055,1062,1073,1212],[1,2,3,4,6,7,9,
10,11,12,14,15,16,17,18,21,23,26,27,28,32,36,37,39,41,44,45,46,47,49,50,51,52,
53,54,55,61,64,65,66,67,68,70,72,73,74,75,76,79,83,84,91,94,96,98,106,112,113,
114,118,122,124,129,130,131,133,135,141,142,143,146,147,152,153,154,156,159,
164,165,170,171,173,174,177,182,185,189,191,192,200,202,203,204,205,206,207,
208,209,211,217,227,229,249,251,253,263,264,265,268,271,283,284,292,295,300,
302,326,331,342,343,346,349,350,367,369,372,387,389,405,406,408,409,411,415,
416,424,434,439,442,443,447,449,470,472,476,482,523,533,534,537,539,542,564,
565,566,579,609,640,642,646,653,657,667,685,687,707,709,829,850,853,855,895,
1056,1068,1073,1213],[1,2,3,4,6,7,10,11,12,14,15,16,23,26,27,32,36,37,38,41,
44,45,46,49,50,51,52,64,65,67,72,79,83,84,91,93,94,102,105,106,111,112,113,
114,122,123,124,125,126,133,147,148,151,185,199,200,202,203,204,205,206,207,
209,216,224,225,227,229,263,264,265,266,267,268,271,283,288,292,293,300,301,
302,303,387,389,391,392,424,427,428,429,430,522,523,531,532,533,534,561,562,
563,578,579,582,609,610,612,710,829,866,867,868,873,887,1055,1056,1059,1214],[
1,2,3,4,6,7,8,10,12,13,14,15,16,17,18,21,23,27,29,31,32,33,35,37,41,42,43,45,
46,48,50,51,52,56,57,58,59,60,63,65,67,70,73,74,75,84,85,93,96,99,109,110,112,
113,115,116,117,121,124,129,130,152,156,157,165,169,172,174,175,180,181,183,
184,185,186,187,188,195,202,204,209,213,220,221,222,248,258,263,267,272,285,
300,304,305,311,313,330,336,337,339,340,351,354,355,356,367,368,369,370,382,
383,516,530,532,543,552,564,571,594,605,606,607,615,616,627,816,826,851,858,
885,1025,1040,1048,1215],[1,2,3,4,6,7,8,9,10,11,12,14,16,17,18,21,23,26,28,29,
30,34,36,37,38,39,40,41,44,47,50,51,52,53,54,55,59,60,61,65,66,69,70,71,72,83,
90,94,96,98,107,108,111,114,115,118,119,120,125,127,128,153,156,157,161,162,
164,170,173,176,177,178,179,189,195,196,197,200,204,206,211,216,217,218,219,
249,260,264,271,276,284,301,306,307,310,312,322,329,336,342,343,344,350,352,
353,362,363,364,365,380,381,517,529,533,542,558,565,572,595,602,603,604,617,
618,628,818,825,853,859,886,1026,1038,1047,1216],[1,2,3,5,6,7,8,10,12,13,14,
15,16,17,18,22,24,27,29,31,32,33,35,37,41,42,43,45,46,48,50,51,52,56,57,58,59,
60,63,65,67,70,73,74,75,87,89,92,95,97,101,109,110,112,113,115,116,117,121,
124,129,130,152,156,157,165,169,172,174,175,180,181,183,184,185,186,187,188,
195,202,204,209,213,220,221,222,257,259,262,269,270,274,277,286,300,304,305,
311,313,330,336,337,339,340,351,354,355,356,367,368,369,370,382,383,518,524,
527,528,553,559,560,567,568,573,594,605,606,607,615,616,627,822,827,856,857,
862,885,1027,1044,1050,1217],[1,2,3,5,6,7,8,9,10,11,12,14,16,17,18,22,24,26,
28,29,30,34,36,37,38,39,40,41,44,47,50,51,52,53,54,55,59,60,61,65,66,69,70,71,
72,86,87,88,95,97,101,107,108,111,114,115,118,119,120,125,127,128,153,156,157,
161,162,164,170,173,176,177,178,179,189,195,196,197,200,204,206,211,216,217,
218,219,256,257,261,273,274,275,278,286,301,306,307,310,312,322,329,336,342,
343,344,350,352,353,362,363,364,365,380,381,519,524,525,526,553,554,555,569,
570,573,595,602,603,604,617,618,628,824,828,860,861,862,886,1028,1043,1049,
1218],[1,2,3,4,6,7,10,12,15,16,17,18,23,27,32,41,45,49,51,66,67,70,72,75,76,
78,79,84,93,94,102,106,113,122,130,135,141,143,148,149,153,156,159,164,174,
185,207,263,267,282,283,288,292,369,372,434,439,461,462,523,532,561,576,578,
629,667,716,866,902,1090,1219],[1,2,3,4,6,7,10,11,12,16,17,18,23,26,36,41,44,
49,50,67,70,71,72,73,76,77,79,83,93,94,102,105,114,123,128,134,139,142,147,
150,152,156,167,169,176,205,206,264,271,281,283,288,293,364,373,440,442,460,
463,522,533,562,577,579,630,664,717,868,904,1091,1220],[1,2,3,5,7,8,10,11,13,
14,15,16,17,18,22,24,31,36,42,43,46,54,56,57,58,60,62,63,65,66,68,70,72,74,75,
77,80,89,95,97,101,109,125,137,141,146,155,163,171,175,176,180,184,187,189,
190,193,210,221,222,226,230,234,236,237,259,270,286,316,354,358,388,395,404,
414,438,445,451,459,468,474,498,500,527,535,560,567,633,695,703,772,783,787,
795,838,857,869,871,998,1083,1085,1092,1221],[1,2,3,5,6,8,9,10,11,14,15,16,17,
18,22,24,28,32,38,39,40,53,54,55,57,60,61,62,65,67,68,69,70,71,73,78,80,86,95,
97,101,107,124,136,139,146,154,161,166,168,174,177,179,186,191,192,197,214,
218,219,228,231,232,235,237,261,275,286,319,352,357,390,393,412,416,437,446,
455,456,467,471,499,501,525,536,555,570,631,700,705,776,782,788,796,839,861,
870,872,999,1082,1084,1093,1222],[1,2,3,4,6,8,9,11,14,17,18,21,23,27,28,38,40,
54,55,60,61,69,71,73,77,78,80,84,85,94,96,98,106,107,136,150,160,161,165,179,
197,208,218,228,232,236,238,253,258,263,284,318,326,352,386,398,435,454,457,
466,497,501,520,523,537,564,598,678,699,758,767,770,777,823,845,850,986,1030,
1081,1089,1223],[1,2,3,5,7,8,13,14,15,17,18,22,24,26,31,43,46,57,58,60,63,66,
74,75,77,78,80,89,95,97,101,105,109,137,149,158,170,180,184,187,201,222,230,
234,235,238,259,270,286,314,325,354,385,400,436,450,452,465,496,500,515,527,
560,567,596,680,696,759,765,769,780,819,842,857,984,1031,1077,1088,1224],[1,2,
3,5,6,8,9,11,14,17,18,22,24,27,28,38,40,54,55,60,61,69,71,73,77,78,80,86,95,
97,101,106,107,136,150,160,161,165,179,197,208,218,228,232,236,238,261,275,
286,318,326,352,386,398,435,454,457,466,497,501,514,525,555,570,598,678,699,
758,767,770,777,820,844,861,986,1029,1080,1086,1225],[1,2,3,4,7,8,13,14,15,17,
18,21,23,26,31,43,46,57,58,60,63,66,74,75,77,78,80,83,90,93,96,99,105,109,137,
149,158,170,180,184,187,201,222,230,234,235,238,254,260,264,285,314,325,354,
385,400,436,450,452,465,496,500,521,522,547,565,596,680,696,759,765,769,780,
821,843,852,984,1032,1078,1087,1226],[1,2,3,4,7,8,10,11,13,14,15,16,17,18,21,
23,31,36,37,38,42,43,46,56,57,58,60,62,63,66,68,70,72,74,75,77,78,79,80,85,91,
93,96,99,109,111,140,148,149,155,163,171,173,176,180,182,184,187,190,193,210,
220,221,222,226,230,234,235,238,255,258,265,266,272,282,283,285,316,341,348,
354,388,399,401,438,445,451,459,468,496,503,530,531,544,552,566,571,575,576,
578,580,597,693,695,757,766,772,774,854,858,874,983,1036,1227],[1,2,3,4,7,8,
13,14,15,17,18,21,23,26,31,43,46,57,58,60,63,66,74,75,77,78,80,83,85,93,96,99,
105,109,137,149,158,170,180,184,187,201,222,230,234,235,238,254,258,264,272,
282,285,314,325,354,385,400,436,450,452,465,496,500,522,530,547,552,565,571,
575,576,580,596,680,696,759,765,769,780,852,858,874,984,1035,1228],[1,2,3,4,6,
8,9,11,14,17,18,21,23,27,28,38,40,54,55,60,61,69,71,73,77,78,80,84,90,94,96,
98,106,107,136,150,160,161,165,179,197,208,218,228,232,236,238,253,260,263,
276,281,284,318,326,352,386,398,435,454,457,466,497,501,523,529,537,558,564,
572,574,577,581,598,678,699,758,767,770,777,850,859,875,986,1033,1229],[1,2,3,
4,6,8,9,10,11,14,15,16,17,18,21,23,28,32,37,38,39,40,46,53,54,55,60,61,62,67,
68,69,70,71,73,77,78,79,80,90,91,94,96,98,107,112,138,147,150,154,161,166,168,
172,174,179,182,191,192,197,214,217,218,219,228,231,232,236,238,251,260,265,
268,276,281,283,284,319,338,349,352,390,397,402,437,446,455,456,467,497,502,
529,534,539,558,566,572,574,577,579,581,599,697,700,756,764,771,776,855,859,
875,985,1034,1230],[1,2,3,5,6,7,8,10,12,14,16,17,18,22,24,29,37,41,50,51,52,
59,60,64,65,66,67,68,70,72,73,76,79,80,87,95,97,101,115,126,131,132,133,134,
135,144,145,146,151,156,157,182,195,199,204,225,229,232,233,234,257,274,286,
336,384,415,423,428,431,464,481,494,495,504,524,553,573,635,721,734,801,802,
846,862,987,1094,1095,1096,1231],[1,2,3,6,7,8,10,12,13,15,25,27,29,31,32,33,
35,41,42,43,45,48,109,110,113,115,116,117,121,311,313,584,586,594,1232],[1,2,
3,6,7,8,9,10,11,12,25,26,28,29,30,34,36,39,40,41,44,47,107,108,114,115,118,
119,120,310,312,585,587,595,1233],[1,2,3,5,7,15,17,19,24,26,31,58,66,82,89,
104,105,170,201,270,290,325,515,811,842,1011,1100,1234],[1,2,3,5,6,11,17,19,
24,27,28,55,73,82,86,104,106,165,208,275,290,326,514,812,844,1012,1101,1235],[
1,2,4,5,6,7,16,20,23,25,49,81,83,84,86,89,93,94,102,241,243,244,245,246,247,
288,506,507,593,805,806,1013,1236],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,17,18,
26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,
53,54,55,56,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,76,78,79,105,107,108,
109,110,111,113,114,115,116,117,118,119,120,121,123,125,127,128,131,132,133,
134,135,137,140,141,143,148,149,152,153,154,155,156,157,158,159,160,161,162,
163,164,167,168,169,170,171,173,176,177,178,179,189,190,191,192,193,194,195,
196,197,198,200,201,202,203,204,205,206,207,208,210,211,212,213,214,215,216,
217,218,219,223,225,227,228,231,293,294,295,296,297,298,299,301,302,306,307,
308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,328,
329,330,331,332,333,334,335,336,341,342,343,344,345,346,347,350,352,353,358,
359,362,363,364,365,366,372,373,374,375,376,377,378,379,380,381,384,386,387,
390,391,395,396,399,400,401,404,405,406,407,408,417,419,422,425,427,431,439,
440,441,442,443,444,454,455,456,457,458,459,461,462,472,473,474,475,476,477,
485,486,487,489,594,595,596,597,601,602,603,604,608,610,614,617,618,619,620,
621,622,623,624,625,626,628,629,633,634,635,636,637,638,639,640,644,658,659,
660,661,662,663,664,673,676,677,686,687,688,689,698,699,700,701,711,712,719,
725,726,727,730,733,735,738,740,742,743,747,748,749,750,762,763,884,886,888,
889,898,899,921,922,927,928,932,936,937,939,942,945,954,955,957,962,967,969,
1103,1104,1106,1107,1108,1112,1117,1237],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,
17,18,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,
51,52,53,55,56,57,58,59,60,62,63,64,65,66,67,68,70,72,73,74,75,76,77,79,106,
107,108,109,110,112,113,114,115,116,117,118,119,120,121,122,124,129,130,131,
132,133,134,135,136,138,139,142,147,150,152,153,154,155,156,157,158,159,160,
163,164,165,166,167,168,169,172,174,175,180,181,183,184,185,186,187,188,190,
191,192,193,194,195,198,200,201,202,203,204,205,207,208,209,210,211,212,213,
214,215,220,221,222,223,226,227,229,230,292,294,295,296,297,298,299,300,302,
304,305,308,309,310,311,312,313,314,315,316,317,318,319,320,321,323,324,326,
327,328,329,330,331,332,333,334,335,336,337,338,339,340,345,347,351,354,355,
356,357,360,367,368,369,370,371,372,373,374,375,376,377,378,379,382,383,384,
385,387,388,389,393,394,397,398,402,409,410,411,412,413,418,420,421,424,426,
431,432,433,434,436,437,438,439,440,441,451,452,453,460,463,469,470,471,478,
479,480,488,490,491,492,594,595,598,599,600,605,606,607,609,611,613,615,616,
619,620,621,622,623,624,625,626,627,630,631,632,635,636,637,641,642,643,645,
665,666,667,668,669,670,671,672,675,677,679,689,690,691,692,694,695,696,713,
714,720,722,723,724,731,732,736,737,739,744,745,751,752,753,754,760,761,883,
885,888,889,900,901,919,920,925,926,931,934,935,939,943,946,948,949,956,963,
964,968,1102,1104,1105,1109,1110,1113,1114,1238],[1,2,3,6,7,8,9,10,11,12,13,
14,15,16,17,18,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,
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,
74,75,76,78,79,105,106,109,110,111,112,113,114,115,116,117,118,119,120,121,
122,123,124,125,126,127,128,129,130,131,132,133,134,135,137,138,139,140,141,
142,143,144,145,146,147,148,149,151,152,153,154,155,156,157,158,159,163,164,
165,166,167,168,169,170,171,172,173,174,175,176,177,180,181,182,183,184,185,
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,
224,225,227,228,229,231,292,293,294,295,296,297,298,299,300,301,302,303,304,
305,306,307,308,309,310,311,313,314,315,316,317,323,324,325,326,327,328,329,
330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,
349,350,351,354,355,356,358,359,360,361,362,363,364,365,366,367,368,369,370,
371,372,373,374,375,378,379,382,383,384,386,387,389,390,391,392,395,396,399,
400,401,402,403,404,405,406,407,408,409,410,411,412,413,414,415,416,417,419,
420,422,423,424,425,427,428,429,430,432,433,434,435,437,439,440,441,442,443,
444,446,447,448,449,461,462,463,464,469,470,471,472,473,474,475,476,477,479,
480,481,482,483,484,485,486,487,489,490,491,492,493,494,594,596,597,600,605,
606,607,608,609,610,612,613,614,615,616,617,618,619,620,624,625,626,627,629,
633,634,637,638,639,640,641,642,643,644,646,647,650,651,652,653,654,655,656,
657,662,663,664,665,666,667,668,673,674,675,676,677,678,681,682,683,684,685,
686,687,688,689,690,691,692,697,704,705,706,707,708,709,710,713,714,715,716,
725,726,727,730,732,733,734,735,736,738,739,740,741,742,743,744,746,747,748,
749,750,751,752,755,762,763,790,791,792,883,885,887,889,892,893,894,895,896,
897,898,899,902,903,906,907,908,909,910,911,912,913,920,923,925,926,929,933,
934,936,937,940,943,944,948,949,950,951,962,964,965,966,969,992,993,1103,1114,
1115,1118,1120,1124,1125,1137,1138,1239],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,
17,18,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,
51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,
77,79,105,106,107,108,111,112,113,114,115,116,117,118,119,120,121,122,123,124,
125,126,127,128,129,130,131,132,133,134,135,136,138,139,140,141,142,143,144,
145,146,147,148,150,151,152,153,154,155,156,157,159,160,161,162,163,164,165,
166,167,168,169,170,171,172,173,174,175,176,177,178,179,182,185,186,187,188,
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,
227,229,230,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,
308,309,310,311,312,318,319,320,321,322,323,324,325,326,327,328,329,330,331,
332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,
351,352,353,357,359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,
374,375,376,377,380,381,384,385,387,388,389,391,392,393,394,397,398,401,402,
403,404,405,406,407,408,409,410,411,412,413,414,415,416,418,420,421,422,423,
424,426,427,428,429,430,432,433,434,439,440,441,442,443,444,445,447,448,449,
450,459,460,462,463,464,469,470,471,472,473,474,475,476,478,479,480,481,482,
483,484,486,487,488,489,490,491,492,493,494,595,598,599,601,602,603,604,609,
610,611,612,613,614,615,616,617,618,619,620,621,622,623,628,630,631,632,636,
638,639,640,641,642,643,645,646,647,648,649,652,653,654,655,656,657,661,662,
663,664,665,666,667,672,673,674,675,677,680,681,682,683,684,685,686,687,688,
689,690,691,692,693,702,703,706,707,708,709,710,711,712,717,718,722,723,724,
730,731,732,734,736,737,738,739,740,741,742,744,745,746,749,750,751,752,753,
754,755,760,761,790,791,792,884,886,887,888,890,891,894,895,896,897,900,901,
904,905,906,907,908,914,915,916,917,918,922,924,927,928,930,933,934,935,936,
941,945,947,952,953,954,955,963,964,965,966,969,992,993,1102,1112,1116,1119,
1120,1122,1123,1139,1140,1240],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,17,18,26,
27,28,29,30,31,32,33,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,
56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,79,80,106,109,110,
112,113,114,115,116,117,118,119,120,121,122,123,124,127,128,129,130,131,132,
133,134,135,138,139,140,141,142,144,145,147,152,153,154,155,156,157,158,159,
161,162,163,164,165,166,167,168,169,170,171,172,174,175,176,178,179,180,181,
183,184,185,186,187,188,190,191,192,193,194,195,198,200,201,202,203,204,205,
207,208,209,210,211,212,213,214,215,220,221,222,223,227,229,232,233,234,292,
294,295,296,297,298,299,300,302,304,305,308,309,310,311,313,314,315,316,317,
323,324,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,345,347,
351,354,355,356,360,362,364,366,367,368,369,370,371,372,373,374,375,378,379,
380,381,382,383,384,387,389,402,409,410,411,412,413,420,422,423,424,432,433,
434,437,439,440,441,444,445,448,450,454,456,458,459,463,465,466,467,468,469,
470,471,479,480,487,489,490,491,492,493,495,504,594,600,601,602,603,605,606,
607,609,613,615,616,619,620,624,625,626,627,637,641,642,643,648,649,652,654,
658,659,661,663,665,666,667,668,673,674,675,677,689,690,691,692,711,712,713,
714,717,718,721,728,729,732,736,739,744,751,752,769,771,772,773,777,779,781,
782,792,883,885,889,906,916,917,920,921,922,924,925,926,934,938,941,943,945,
947,948,949,959,961,964,976,977,1106,1114,1119,1121,1127,1128,1136,1241],[1,2,
3,6,7,8,9,10,11,12,13,14,15,16,17,18,26,27,28,29,30,31,32,33,34,36,37,38,39,
40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,64,65,66,67,68,
69,70,71,72,73,74,75,76,79,80,105,107,108,111,113,114,115,116,117,118,119,120,
121,122,123,125,127,128,129,130,131,132,133,134,135,138,139,140,141,143,144,
145,148,152,153,154,155,156,157,159,160,161,162,163,164,165,166,167,168,169,
170,171,173,174,176,177,178,179,180,181,183,184,189,190,191,192,193,194,195,
196,197,198,200,201,202,203,204,205,206,207,208,210,211,212,213,214,215,216,
217,218,219,223,225,227,232,233,234,293,294,295,296,297,298,299,301,302,306,
307,308,309,310,311,312,318,319,320,321,322,323,324,325,328,329,330,331,332,
333,334,335,336,341,342,343,344,345,346,347,350,352,353,359,362,363,364,365,
366,367,369,371,372,373,374,375,376,377,380,381,382,383,384,387,391,401,404,
405,406,407,408,420,422,423,427,432,435,436,437,439,440,441,442,443,444,446,
447,451,453,459,462,465,466,467,468,472,473,474,475,476,486,487,489,491,492,
493,495,504,595,600,601,602,603,604,605,606,610,614,617,618,619,620,621,622,
623,628,636,638,639,640,650,651,656,657,661,662,663,664,666,668,669,670,673,
674,675,677,686,687,688,689,711,712,713,714,715,716,721,728,729,730,738,740,
742,749,750,770,774,775,776,778,780,783,784,790,884,886,888,907,911,912,919,
920,922,923,927,928,936,938,940,943,944,945,954,955,958,960,969,975,978,1105,
1112,1118,1121,1126,1129,1135,1242],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,17,18,
26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,
53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,
80,106,107,108,111,112,113,114,115,116,117,118,119,120,121,122,124,125,127,
128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,146,147,149,
150,152,153,154,155,156,157,158,159,160,161,162,164,165,166,167,168,169,170,
171,172,173,174,176,177,178,179,181,182,184,185,186,187,189,190,191,192,193,
194,195,196,197,198,200,201,202,203,204,205,206,207,208,209,210,211,212,213,
214,215,216,217,218,219,221,223,226,227,228,229,230,231,232,233,234,235,236,
237,238,292,294,295,296,297,298,299,300,301,302,304,306,307,308,309,310,311,
312,315,317,318,319,320,321,322,324,326,327,329,330,331,332,334,335,336,337,
338,341,342,343,344,346,347,349,350,351,352,353,357,358,359,360,362,363,364,
365,367,368,369,371,372,373,374,376,377,379,380,381,383,384,385,386,387,388,
389,390,393,394,397,398,399,400,402,405,406,408,409,410,411,412,413,415,416,
417,418,419,420,421,424,425,426,434,435,437,439,442,443,446,447,449,454,455,
456,457,458,460,461,463,465,466,467,468,469,470,471,472,473,474,476,477,478,
479,480,482,485,486,487,488,490,491,492,495,496,497,498,499,500,501,502,503,
504,505,595,598,599,602,603,604,606,608,609,611,613,615,617,618,619,621,622,
623,624,628,630,631,632,636,640,641,642,643,644,645,646,650,651,653,657,658,
659,660,667,668,672,675,676,677,678,685,687,697,698,699,700,701,704,705,707,
709,713,715,719,721,722,723,724,728,729,731,732,733,735,736,737,739,740,743,
744,745,747,748,751,752,753,754,756,757,758,759,760,761,764,767,770,771,775,
776,777,778,781,782,786,788,793,794,795,796,797,798,799,800,886,888,892,893,
895,900,901,909,910,912,921,923,932,934,935,937,938,942,949,950,957,958,960,
963,967,971,973,976,977,979,980,981,982,985,986,989,991,994,997,999,1000,1002,
1102,1111,1117,1124,1126,1128,1132,1141,1144,1145,1148,1243],[1,2,3,6,7,8,9,
10,11,12,13,14,15,16,17,18,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,
44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,
71,72,73,74,75,76,77,78,79,80,105,109,110,111,112,113,114,115,116,117,118,119,
120,121,123,124,125,127,128,129,130,131,132,133,134,135,136,137,138,139,140,
141,142,143,146,148,149,150,152,153,154,155,156,157,158,159,160,162,163,164,
165,166,167,169,170,171,172,173,174,175,176,179,180,181,182,183,184,185,186,
187,188,189,190,191,192,193,194,195,197,198,200,201,202,203,204,205,206,207,
208,209,210,211,212,213,214,215,216,219,220,221,222,223,225,226,227,228,230,
231,232,233,234,235,236,237,238,293,294,295,296,297,298,299,300,301,302,304,
305,306,308,309,310,311,313,314,315,316,317,320,321,323,325,327,328,329,330,
333,334,335,336,337,338,339,340,341,342,345,346,348,350,351,354,355,356,357,
358,359,360,362,363,364,366,367,368,369,370,372,373,375,377,378,379,381,382,
383,384,385,386,387,388,390,391,395,396,397,398,399,400,401,404,405,406,407,
408,409,410,413,414,415,417,418,419,421,422,425,426,427,433,434,436,438,440,
442,445,448,449,450,451,452,453,459,460,461,462,465,466,467,468,469,470,471,
472,473,474,475,476,477,478,479,483,485,486,487,488,489,490,491,495,496,497,
498,499,500,501,502,503,504,505,594,596,597,603,605,606,607,608,610,611,614,
615,616,617,620,622,624,625,626,627,629,633,634,637,638,639,640,643,644,645,
647,648,649,654,655,661,664,669,670,671,672,673,676,677,679,680,684,690,693,
694,695,696,702,703,707,708,711,718,720,721,725,726,727,728,729,730,731,733,
735,737,738,739,740,742,743,745,747,748,749,750,753,754,756,757,758,759,762,
763,765,766,769,772,773,774,779,780,783,784,785,787,793,794,795,796,797,798,
799,800,885,889,890,891,897,898,899,914,915,917,919,924,931,935,936,937,938,
946,953,955,956,959,961,962,968,970,972,975,978,979,980,981,982,983,984,988,
990,995,996,998,1001,1002,1103,1111,1113,1122,1127,1129,1134,1142,1143,1146,
1147,1244],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,17,18,26,27,28,29,30,31,32,33,
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,
60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,79,80,107,108,109,110,111,
112,113,114,115,116,117,118,119,120,121,124,125,126,127,128,129,130,131,132,
133,134,135,144,145,146,151,152,153,154,155,156,157,158,159,160,161,162,163,
164,165,167,168,169,170,172,173,174,175,176,177,178,179,180,181,182,183,184,
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,
223,224,225,227,229,232,233,234,294,295,296,297,298,299,300,301,302,303,304,
305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,
324,328,329,330,331,332,333,334,335,336,337,339,340,342,343,344,345,347,348,
349,350,351,352,353,354,355,356,361,362,363,364,365,367,368,369,370,372,373,
374,375,376,377,378,379,380,381,382,383,384,389,391,392,403,414,415,416,423,
428,429,431,432,433,434,435,442,443,444,445,446,447,448,449,450,464,465,466,
467,468,481,482,483,484,493,494,495,504,594,595,602,603,604,605,606,607,612,
615,616,617,618,619,620,621,622,623,624,625,626,627,628,635,636,637,646,647,
648,649,650,651,652,653,654,655,656,657,674,677,681,682,683,684,685,686,692,
715,716,717,718,721,728,729,734,741,746,755,769,770,772,773,775,776,778,779,
801,802,885,886,888,889,923,924,929,930,933,938,939,944,947,950,951,952,953,
958,959,960,961,965,966,987,1104,1115,1116,1126,1127,1130,1131,1245],[1,2,3,6,
7,8,9,10,11,12,13,14,15,16,17,18,26,27,28,29,30,31,32,33,36,37,38,39,40,41,42,
43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,
69,70,71,72,73,74,75,76,77,78,79,80,111,112,113,114,115,116,117,118,119,120,
121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,
140,141,142,143,144,145,146,149,150,151,152,153,154,155,156,157,158,159,160,
161,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,180,182,
183,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,
203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,
222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,294,295,
296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,315,317,320,
321,327,329,330,332,333,334,335,336,337,338,339,340,341,342,343,344,346,348,
349,350,351,357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,
373,374,375,376,377,378,379,380,382,384,385,386,388,389,390,391,392,397,398,
399,400,403,404,405,406,408,409,410,412,413,414,415,416,417,418,419,421,423,
425,426,428,429,431,432,433,437,438,439,440,441,443,444,445,446,447,448,452,
455,457,459,460,461,464,465,466,467,468,469,470,471,472,473,474,475,476,477,
478,479,480,481,482,483,484,485,486,487,488,490,491,493,494,495,496,497,498,
499,500,501,502,503,504,505,600,601,602,605,608,611,612,615,616,617,618,622,
624,635,636,637,639,640,641,643,644,645,646,647,648,651,652,656,660,661,662,
663,665,666,668,671,672,674,676,677,681,683,688,691,693,697,703,705,706,708,
709,711,712,713,714,716,717,719,720,721,728,729,731,733,734,735,737,739,740,
741,743,745,746,747,748,753,754,755,756,757,758,759,793,794,795,796,797,798,
799,800,801,802,891,893,894,896,911,913,916,918,920,922,926,927,931,932,933,
935,937,938,939,948,951,952,954,979,980,981,982,987,1002,1107,1110,1111,1121,
1123,1125,1131,1246],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,17,18,26,27,28,29,30,
31,32,33,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,
62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,105,111,112,113,114,115,
116,117,118,119,120,121,122,123,124,125,127,128,129,130,131,132,133,134,135,
136,138,139,140,141,142,143,144,145,146,148,150,152,153,154,155,156,158,159,
160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,178,179,
180,181,182,183,184,185,186,187,189,190,191,192,193,194,197,198,200,201,202,
203,204,205,206,207,208,209,210,211,212,213,214,215,216,219,220,221,223,225,
226,227,230,293,294,295,296,297,298,299,300,301,302,304,306,308,309,310,311,
320,321,323,325,327,328,329,330,333,334,335,337,338,339,341,342,345,346,348,
350,351,357,359,360,362,363,364,366,367,368,369,371,372,373,374,375,376,377,
378,379,380,381,382,383,384,385,387,388,391,397,398,401,404,405,406,407,408,
409,410,413,414,415,418,420,421,422,423,426,427,431,432,433,434,435,437,438,
440,441,442,445,446,447,448,449,450,452,454,455,456,457,458,459,460,462,469,
470,471,472,473,474,475,476,478,479,483,486,487,488,489,490,491,492,493,600,
602,603,605,606,610,611,614,615,617,620,622,635,636,637,638,639,640,643,645,
647,648,649,650,651,654,655,656,657,658,659,660,661,664,665,666,668,671,672,
673,674,675,677,680,684,690,693,702,703,707,708,711,712,713,714,715,716,718,
719,720,730,731,737,738,739,740,742,745,749,750,753,754,764,767,786,788,790,
890,891,897,907,911,912,914,915,917,920,921,923,924,926,928,931,932,935,936,
939,940,943,944,953,955,971,973,1108,1110,1118,1122,1130,1132,1136,1247],[1,2,
3,6,7,8,9,10,11,12,13,14,15,16,17,18,26,27,28,29,30,31,32,33,36,37,38,39,40,
41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,61,62,64,65,66,67,68,69,
70,71,72,73,74,75,76,78,79,106,111,112,113,114,115,116,117,118,119,120,121,
122,123,124,125,127,128,129,130,131,132,133,134,135,137,138,139,140,141,142,
143,144,145,146,147,149,152,153,154,155,156,158,159,160,161,162,163,164,165,
166,167,168,169,170,171,172,173,174,176,177,178,179,180,181,182,183,184,185,
186,187,189,190,191,192,193,194,197,198,200,201,202,203,204,205,206,207,208,
209,210,211,212,213,214,215,216,217,219,221,223,227,228,229,231,292,294,295,
296,297,298,299,300,301,302,304,306,308,309,310,311,315,317,324,326,327,329,
330,331,332,334,335,337,338,341,342,343,346,347,349,350,351,358,359,360,362,
363,364,366,367,368,369,371,372,373,374,375,376,377,378,379,380,381,382,383,
384,386,387,389,390,399,400,402,405,406,408,409,410,411,412,413,415,416,417,
419,420,422,423,424,425,431,434,435,436,437,438,439,441,442,443,444,445,446,
447,448,449,450,451,452,453,455,457,459,461,463,469,470,471,472,473,474,476,
477,479,480,482,485,486,487,489,490,491,492,493,601,602,603,605,606,608,609,
613,615,617,619,624,635,636,637,640,641,642,643,644,646,648,649,650,651,652,
653,654,657,660,661,662,663,667,668,669,670,671,673,674,675,676,677,678,685,
687,697,704,705,707,709,711,712,713,714,715,717,718,719,720,732,733,735,736,
739,740,743,744,747,748,751,752,765,766,785,787,792,892,893,895,906,909,910,
912,916,917,919,922,923,924,925,927,931,932,934,937,939,941,945,947,949,950,
970,972,1107,1109,1119,1124,1130,1134,1135,1248],[1,2,3,6,7,8,9,10,11,12,13,
14,15,16,17,18,26,27,28,29,30,31,32,33,36,37,38,39,40,41,42,43,44,45,46,47,48,
49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,
75,76,79,80,105,106,111,112,113,114,115,116,117,118,119,120,121,122,123,124,
125,126,127,128,129,130,131,132,133,134,135,138,139,140,141,142,143,144,145,
146,147,148,151,152,153,154,155,156,157,158,159,160,161,163,164,165,166,167,
168,169,170,171,172,173,174,175,176,177,178,180,182,183,185,186,187,188,189,
190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,
209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,227,229,
232,233,234,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,
308,309,310,311,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,
338,339,340,341,342,343,344,345,346,347,348,349,350,351,359,360,361,362,363,
364,365,366,367,368,369,370,371,372,373,374,375,376,377,378,379,380,382,384,
387,389,391,392,401,402,403,404,405,406,407,408,409,410,411,412,413,414,415,
416,420,422,423,424,427,428,429,430,431,432,433,434,436,438,439,440,441,442,
443,444,447,448,449,451,452,453,454,455,456,457,458,462,463,464,465,466,467,
468,469,470,471,472,473,474,475,476,479,480,481,482,483,484,486,487,489,490,
491,492,493,494,495,504,602,605,609,610,612,613,614,615,616,617,618,619,620,
635,636,637,638,639,640,641,642,643,646,647,652,653,654,655,656,657,658,659,
660,662,663,664,665,666,667,669,670,671,673,674,675,677,681,682,683,684,685,
686,687,688,689,690,691,692,706,707,708,709,710,712,714,719,720,721,728,729,
730,732,734,736,738,739,740,741,742,744,746,749,750,751,752,755,768,771,774,
777,780,781,782,783,784,789,790,791,792,801,802,887,894,895,896,897,906,907,
908,919,921,925,928,931,932,933,934,936,938,939,964,965,966,969,974,975,976,
977,978,987,992,993,1108,1109,1120,1128,1129,1131,1133,1249],[1,2,3,6,7,8,9,
10,11,12,13,14,15,16,17,18,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,
44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,
72,73,74,75,76,77,79,109,110,111,112,113,114,115,116,117,118,119,120,121,123,
124,125,126,128,129,130,131,132,133,134,135,136,138,139,141,142,144,145,146,
150,151,152,153,154,155,156,157,158,159,160,161,163,164,165,166,167,169,171,
172,173,174,175,176,177,178,180,181,182,183,184,185,186,187,188,190,191,192,
193,194,195,196,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,
213,214,215,216,217,218,220,221,222,223,224,225,226,227,229,230,294,295,296,
297,298,299,300,301,302,303,304,305,307,308,309,310,311,313,314,315,316,317,
320,321,323,327,328,329,330,333,334,335,336,337,338,339,340,341,343,344,345,
348,349,351,354,355,356,357,360,361,364,365,366,367,368,369,370,372,373,375,
377,378,379,380,382,383,384,385,388,389,391,392,397,398,403,404,406,409,410,
413,414,415,416,418,421,423,426,428,429,432,435,436,438,439,441,442,443,444,
445,446,447,448,449,451,452,453,454,456,458,459,460,464,469,470,471,475,478,
479,481,482,483,484,488,490,491,493,494,594,601,602,605,606,607,611,612,615,
616,618,620,622,624,625,626,627,637,639,643,645,646,647,648,650,651,652,653,
656,657,658,659,661,662,663,669,670,671,672,674,677,679,681,682,684,686,691,
693,694,695,696,703,706,709,712,715,716,717,720,731,734,737,739,741,745,746,
753,754,755,764,767,768,786,788,789,885,889,891,896,916,918,919,921,922,923,
929,931,933,935,944,946,950,951,952,954,956,965,968,971,973,974,1106,1113,
1115,1123,1132,1133,1135,1250],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,17,18,26,
27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,
54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,78,79,107,108,
111,112,113,114,115,116,117,118,119,120,121,122,124,125,126,127,128,130,131,
132,133,134,135,137,139,140,141,143,144,145,146,149,151,152,153,154,155,156,
157,158,159,160,161,162,164,166,167,168,169,170,171,172,173,174,175,176,177,
178,179,180,182,183,185,188,189,190,191,192,193,194,195,196,197,198,199,200,
201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,
220,222,223,224,225,227,228,229,231,294,295,296,297,298,299,300,301,302,303,
305,306,307,308,309,310,311,312,315,317,318,319,320,321,322,324,329,330,331,
332,334,335,336,338,339,340,341,342,343,344,346,347,348,349,350,352,353,358,
359,361,362,363,364,365,369,370,371,372,373,374,376,377,379,380,381,382,384,
386,389,390,391,392,399,400,403,405,406,408,410,412,414,415,416,417,419,423,
425,428,429,432,433,434,436,437,440,441,444,445,446,447,448,449,450,451,453,
454,455,456,457,458,461,464,472,473,474,476,477,480,481,482,483,484,485,486,
487,493,494,595,600,602,603,604,605,608,612,616,617,618,619,621,622,623,624,
628,636,640,641,644,646,647,648,649,651,652,654,655,656,658,659,660,665,666,
668,669,670,674,676,677,682,683,685,688,692,697,698,699,700,701,705,706,708,
714,716,717,718,719,733,734,735,740,741,743,746,747,748,755,765,766,768,785,
787,789,886,888,893,894,911,913,919,920,921,924,930,932,933,937,942,947,948,
951,952,953,957,966,967,970,972,974,1105,1116,1117,1125,1133,1134,1136,1251],[
1,2,3,4,5,6,7,8,9,10,11,12,23,24,26,28,29,30,34,36,39,40,41,44,47,81,83,84,85,
86,87,88,90,94,95,107,108,114,115,118,119,120,264,271,273,274,275,276,278,310,
312,506,508,516,517,519,520,524,525,526,529,533,595,825,828,1005,1007,1022,
1026,1028,1252],[1,2,3,4,5,6,7,8,10,12,13,15,23,24,27,29,31,32,33,35,41,42,43,
45,48,81,83,84,85,87,89,90,92,93,95,109,110,113,115,116,117,121,263,267,269,
270,272,274,277,311,313,507,508,516,517,518,521,524,527,528,530,532,594,826,
827,1005,1006,1021,1025,1027,1253],[1,2,3,4,5,6,8,9,11,17,23,24,27,28,40,55,
73,77,81,84,85,86,87,88,90,94,95,106,107,136,150,160,165,208,263,275,276,281,
318,326,398,506,508,514,519,520,523,525,529,536,577,598,844,845,1004,1007,
1024,1029,1030,1033,1254],[1,2,3,4,5,7,8,13,15,17,23,24,26,31,43,58,66,78,81,
83,85,87,89,90,92,93,95,105,109,137,149,158,170,201,264,270,272,282,314,325,
400,507,508,515,518,521,522,527,530,535,576,596,842,843,1003,1006,1023,1031,
1032,1035,1255],[1,2,3,4,5,7,15,17,18,21,22,23,26,31,58,66,75,80,81,83,89,93,
96,99,105,170,180,201,234,239,254,259,264,285,325,436,465,507,511,515,522,547,
565,780,808,819,852,1003,1150,1256],[1,2,3,4,5,6,11,17,18,21,22,23,27,28,55,
71,73,80,81,84,86,94,96,98,106,161,165,208,232,239,253,261,263,284,326,454,
466,506,511,514,523,537,564,777,807,820,850,1004,1149,1257],[1,2,3,4,5,6,11,
14,17,21,22,23,24,27,28,38,54,55,69,73,78,81,84,86,94,96,98,101,106,165,197,
208,228,239,240,253,261,263,275,284,326,386,435,506,510,514,523,537,555,564,
678,807,820,844,850,1004,1080,1149,1156,1258],[1,2,3,4,5,7,14,15,17,21,22,23,
24,26,31,46,57,58,66,74,77,81,83,89,93,96,99,101,105,170,187,201,230,239,240,
254,259,264,270,285,325,385,450,507,510,515,522,547,560,565,680,808,819,842,
852,1003,1077,1150,1157,1259],[1,2,3,4,5,6,7,8,10,12,14,16,18,20,21,22,23,24,
26,27,29,37,41,49,50,51,59,60,65,67,70,72,79,81,83,84,85,87,90,95,97,100,101,
115,156,157,159,167,195,204,205,207,227,239,241,246,247,248,249,257,258,260,
263,264,274,286,323,324,336,387,439,440,441,508,509,516,517,524,541,546,553,
573,689,809,813,814,816,818,840,841,862,1005,1076,1079,1151,1154,1155,1260],[
1,2,3,4,5,6,7,9,10,11,12,15,16,17,20,21,22,23,27,28,30,32,41,44,45,47,49,51,
55,56,57,58,62,67,73,76,81,84,86,93,94,96,98,99,100,102,106,113,120,122,134,
138,139,165,168,169,172,185,186,207,208,213,214,215,223,239,241,246,248,253,
261,263,267,279,280,284,285,287,288,289,292,309,326,347,351,360,479,480,492,
506,509,514,523,532,537,538,541,543,551,561,564,583,736,803,805,807,820,833,
834,849,850,851,864,866,1004,1009,1097,1149,1158,1261],[1,2,3,4,5,6,7,10,11,
12,13,15,16,17,20,21,22,23,26,31,33,36,41,44,45,48,49,50,53,54,55,58,62,66,72,
76,81,83,89,93,94,96,98,99,100,102,105,114,121,123,135,140,141,163,164,170,
173,189,201,205,206,210,211,212,223,239,241,247,249,254,259,264,271,279,280,
284,285,287,288,289,293,308,325,345,350,359,475,476,489,507,509,515,522,533,
542,546,547,548,557,562,565,583,738,804,806,808,819,832,836,848,852,853,863,
868,1003,1008,1098,1150,1159,1262],[1,2,3,4,5,9,11,12,14,18,19,20,21,22,23,24,
30,38,59,61,71,81,82,88,91,100,101,196,239,240,241,242,251,252,256,266,273,
509,510,511,550,554,589,591,810,878,880,1169,1263],[1,2,3,4,5,8,10,12,14,18,
19,20,21,22,23,24,29,37,59,60,70,81,82,87,91,100,101,195,239,240,241,242,250,
252,257,265,274,509,510,511,549,553,588,591,810,878,879,1168,1264],[1,2,3,4,5,
12,13,14,15,18,19,20,21,22,23,24,33,46,59,63,75,81,82,91,92,100,101,188,239,
240,241,242,252,255,262,268,269,509,510,511,556,559,590,591,810,878,881,1170,
1265],[1,2,3,4,6,7,8,9,10,11,12,13,15,16,17,23,26,27,28,29,30,31,32,33,34,35,
36,39,40,41,42,43,44,45,47,48,49,50,51,52,53,55,56,58,62,64,66,67,68,72,73,76,
84,85,93,107,108,109,110,113,114,115,116,117,118,119,120,121,131,132,133,134,
135,152,153,154,155,158,159,160,163,164,167,168,169,190,191,192,193,194,198,
200,201,202,203,205,207,208,210,211,212,213,214,215,223,263,267,272,294,295,
296,297,298,299,302,308,309,310,311,312,313,314,315,316,317,318,319,320,321,
323,324,328,329,330,331,332,333,334,335,345,347,372,373,374,375,376,377,378,
379,384,431,516,520,530,532,594,595,619,620,621,622,623,624,625,626,635,636,
637,677,826,840,845,888,889,939,1022,1025,1104,1177,1266],[1,2,3,4,6,7,8,9,10,
11,12,13,15,16,17,23,26,27,28,29,30,31,32,33,34,35,36,39,40,41,42,43,44,45,47,
48,49,50,51,52,53,55,56,58,62,64,66,67,68,72,73,76,83,90,94,107,108,109,110,
113,114,115,116,117,118,119,120,121,131,132,133,134,135,152,153,154,155,158,
159,160,163,164,167,168,169,190,191,192,193,194,198,200,201,202,203,205,207,
208,210,211,212,213,214,215,223,264,271,276,294,295,296,297,298,299,302,308,
309,310,311,312,313,314,315,316,317,318,319,320,321,323,324,328,329,330,331,
332,333,334,335,345,347,372,373,374,375,376,377,378,379,384,431,517,521,529,
533,594,595,619,620,621,622,623,624,625,626,635,636,637,677,825,841,843,888,
889,939,1021,1026,1104,1176,1267],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,23,
26,27,28,29,30,31,32,33,34,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,
55,56,57,58,62,64,65,66,67,68,72,73,74,76,77,79,83,84,90,91,94,106,107,108,
112,113,114,115,116,117,118,119,120,121,122,124,129,131,132,133,134,135,136,
138,139,142,147,150,152,154,160,165,166,167,168,169,172,185,186,187,190,191,
192,193,194,198,200,201,202,203,204,205,207,208,209,210,211,212,213,214,215,
221,223,226,227,229,230,263,264,265,268,271,276,281,283,292,294,295,296,297,
298,299,300,302,304,308,309,310,311,312,318,319,320,321,324,326,327,330,331,
332,334,337,338,347,351,357,360,367,368,371,373,374,376,377,384,385,387,388,
389,393,394,397,398,402,409,410,411,412,413,418,420,421,424,426,460,463,469,
470,471,478,479,480,488,490,491,492,517,523,529,533,534,577,579,595,598,599,
609,611,613,615,619,621,622,623,630,631,632,636,641,642,643,645,672,675,677,
722,723,724,731,732,736,737,739,744,745,751,752,753,754,760,761,825,829,831,
888,900,901,934,935,963,1026,1033,1034,1053,1056,1091,1102,1268],[1,2,3,4,6,7,
8,9,10,11,12,13,14,15,16,17,23,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,
42,43,44,45,47,48,49,50,51,52,53,54,55,56,58,62,64,65,66,67,68,69,72,73,76,78,
79,83,84,85,91,93,105,109,110,111,113,114,115,116,117,118,119,120,121,123,125,
127,131,132,133,134,135,137,140,141,143,148,149,153,155,158,159,163,164,170,
171,173,189,190,191,192,193,194,197,198,200,201,202,203,204,205,206,207,208,
210,211,212,213,214,215,216,219,223,225,227,228,231,263,264,265,266,267,272,
282,283,293,294,295,296,297,298,299,301,302,306,308,309,310,311,313,314,315,
316,317,323,325,328,329,333,335,341,342,345,346,350,358,359,362,363,366,372,
375,378,379,384,386,387,390,391,395,396,399,400,401,404,405,406,407,408,417,
419,422,425,427,461,462,472,473,474,475,476,477,485,486,487,489,516,522,530,
531,532,576,578,594,596,597,608,610,614,617,620,624,625,626,629,633,634,637,
638,639,640,644,673,676,677,725,726,727,730,733,735,738,740,742,743,747,748,
749,750,762,763,826,829,830,889,898,899,936,937,962,1025,1035,1036,1054,1055,
1090,1103,1269],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,23,26,27,28,29,30,31,
32,33,34,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,62,64,
65,66,67,68,72,73,74,76,77,79,84,85,94,106,107,108,112,113,114,115,116,117,
118,119,120,121,122,124,129,131,132,133,134,135,136,138,139,142,147,150,152,
154,160,165,166,167,168,169,172,185,186,187,190,191,192,193,194,198,200,201,
202,203,204,205,207,208,209,210,211,212,213,214,215,221,223,226,227,229,230,
263,267,272,292,294,295,296,297,298,299,300,302,304,308,309,310,311,312,318,
319,320,321,324,326,327,330,331,332,334,337,338,347,351,357,360,367,368,371,
373,374,376,377,384,385,387,388,389,393,394,397,398,402,409,410,411,412,413,
418,420,421,424,426,460,463,469,470,471,478,479,480,488,490,491,492,516,520,
523,595,598,599,609,611,613,615,619,621,622,623,630,631,632,636,641,642,643,
645,672,675,677,722,723,724,731,732,736,737,739,744,745,751,752,753,754,760,
761,826,840,845,888,900,901,934,935,963,1022,1030,1057,1102,1177,1270],[1,2,3,
4,6,7,8,9,10,11,12,13,14,15,16,17,23,26,27,28,29,30,31,32,33,35,36,37,38,39,
40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,58,62,64,65,66,67,68,69,72,73,
76,78,79,83,90,93,105,109,110,111,113,114,115,116,117,118,119,120,121,123,125,
127,131,132,133,134,135,137,140,141,143,148,149,153,155,158,159,163,164,170,
171,173,189,190,191,192,193,194,197,198,200,201,202,203,204,205,206,207,208,
210,211,212,213,214,215,216,219,223,225,227,228,231,264,271,276,293,294,295,
296,297,298,299,301,302,306,308,309,310,311,313,314,315,316,317,323,325,328,
329,333,335,341,342,345,346,350,358,359,362,363,366,372,375,378,379,384,386,
387,390,391,395,396,399,400,401,404,405,406,407,408,417,419,422,425,427,461,
462,472,473,474,475,476,477,485,486,487,489,517,521,522,594,596,597,608,610,
614,617,620,624,625,626,629,633,634,637,638,639,640,644,673,676,677,725,726,
727,730,733,735,738,740,742,743,747,748,749,750,762,763,825,841,843,889,898,
899,936,937,962,1021,1032,1058,1103,1176,1271],[1,2,3,5,6,7,8,9,10,11,12,13,
15,16,17,24,26,27,28,29,30,31,32,33,34,35,36,39,40,41,42,43,44,45,47,48,49,50,
51,52,53,55,56,58,62,64,66,67,68,72,73,76,86,87,88,89,92,95,107,108,109,110,
113,114,115,116,117,118,119,120,121,131,132,133,134,135,152,153,154,155,158,
159,160,163,164,167,168,169,190,191,192,193,194,198,200,201,202,203,205,207,
208,210,211,212,213,214,215,223,269,270,273,274,275,277,278,294,295,296,297,
298,299,302,308,309,310,311,312,313,314,315,316,317,318,319,320,321,323,324,
328,329,330,331,332,333,334,335,345,347,372,373,374,375,376,377,378,379,384,
431,518,519,524,525,526,527,528,594,595,619,620,621,622,623,624,625,626,635,
636,637,677,827,828,846,888,889,939,1027,1028,1095,1104,1272],[1,2,3,5,6,7,8,
9,10,11,12,13,14,15,16,17,24,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,
43,44,45,47,48,49,50,51,52,53,54,55,56,58,62,64,65,66,67,68,69,72,73,76,78,79,
87,89,92,95,105,109,110,111,113,114,115,116,117,118,119,120,121,123,125,127,
131,132,133,134,135,137,140,141,143,148,149,153,155,158,159,163,164,170,171,
173,189,190,191,192,193,194,197,198,200,201,202,203,204,205,206,207,208,210,
211,212,213,214,215,216,219,223,225,227,228,231,269,270,274,277,293,294,295,
296,297,298,299,301,302,306,308,309,310,311,313,314,315,316,317,323,325,328,
329,333,335,341,342,345,346,350,358,359,362,363,366,372,375,378,379,384,386,
387,390,391,395,396,399,400,401,404,405,406,407,408,417,419,422,425,427,461,
462,472,473,474,475,476,477,485,486,487,489,515,518,524,527,528,535,594,596,
597,608,610,614,617,620,624,625,626,629,633,634,637,638,639,640,644,673,676,
677,725,726,727,730,733,735,738,740,742,743,747,748,749,750,762,763,827,838,
842,871,889,898,899,936,937,962,1023,1027,1031,1083,1103,1181,1273],[1,2,3,5,
6,7,8,9,10,11,12,13,14,15,16,17,24,26,27,28,29,30,31,32,33,34,36,37,39,40,41,
42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,62,64,65,66,67,68,72,73,74,76,
77,79,86,87,88,95,106,107,108,112,113,114,115,116,117,118,119,120,121,122,124,
129,131,132,133,134,135,136,138,139,142,147,150,152,154,160,165,166,167,168,
169,172,185,186,187,190,191,192,193,194,198,200,201,202,203,204,205,207,208,
209,210,211,212,213,214,215,221,223,226,227,229,230,273,274,275,278,292,294,
295,296,297,298,299,300,302,304,308,309,310,311,312,318,319,320,321,324,326,
327,330,331,332,334,337,338,347,351,357,360,367,368,371,373,374,376,377,384,
385,387,388,389,393,394,397,398,402,409,410,411,412,413,418,420,421,424,426,
460,463,469,470,471,478,479,480,488,490,491,492,514,519,524,525,526,536,595,
598,599,609,611,613,615,619,621,622,623,630,631,632,636,641,642,643,645,672,
675,677,722,723,724,731,732,736,737,739,744,745,751,752,753,754,760,761,828,
839,844,872,888,900,901,934,935,963,1024,1028,1029,1082,1102,1180,1274],[1,2,
3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,21,23,26,27,28,29,30,31,32,33,34,36,37,
38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,
65,66,67,68,69,70,71,72,73,75,76,79,84,85,99,107,108,111,112,113,114,115,116,
117,118,119,120,121,124,125,126,127,128,130,131,132,133,134,135,144,145,146,
151,152,153,154,156,157,160,161,162,164,167,168,169,170,173,174,175,176,177,
178,179,182,185,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,
203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,222,
223,224,225,227,229,248,253,258,263,267,272,294,295,296,297,298,299,300,301,
302,303,305,306,307,308,309,310,311,312,318,319,320,321,322,324,329,330,331,
332,334,336,339,340,342,343,344,347,348,349,350,352,353,361,362,363,364,365,
369,370,373,374,376,377,380,381,384,389,391,392,403,414,415,416,423,428,429,
432,433,434,445,447,448,449,450,464,481,482,483,484,493,494,516,520,543,552,
595,602,603,604,612,616,617,618,619,621,622,623,628,636,646,647,648,649,654,
655,656,674,677,682,683,685,692,717,718,734,741,746,755,815,816,823,826,840,
845,886,888,924,930,933,947,952,953,966,1022,1040,1075,1116,1174,1177,1275],[
1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,23,26,27,28,29,30,31,32,33,
34,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,
64,65,66,67,68,69,70,71,72,73,76,79,84,85,100,105,107,108,111,113,114,115,116,
117,118,119,120,121,123,125,127,128,131,132,133,134,135,140,141,143,148,152,
153,154,155,156,157,159,160,161,162,163,164,167,168,169,170,171,173,176,177,
178,179,189,190,191,192,193,194,195,196,197,198,200,201,202,203,204,205,206,
207,208,210,211,212,213,214,215,216,217,218,219,223,225,227,246,248,253,258,
263,267,272,293,294,295,296,297,298,299,301,302,306,307,308,309,310,311,312,
318,319,320,321,322,323,324,325,328,329,330,331,332,333,334,335,336,341,342,
343,344,345,346,347,350,352,353,359,362,363,364,365,366,372,373,374,375,376,
377,380,381,384,387,391,401,404,405,406,407,408,422,427,439,440,441,442,443,
444,459,462,472,473,474,475,476,486,487,489,516,520,541,551,595,601,602,603,
604,610,614,617,618,619,620,621,622,623,628,636,638,639,640,661,662,663,664,
673,677,686,687,688,689,711,712,730,738,740,742,749,750,813,815,816,823,826,
840,845,884,886,888,922,927,928,936,945,954,955,969,1022,1041,1079,1112,1173,
1174,1177,1276],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,21,23,26,27,28,29,
30,31,32,33,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,
59,60,62,63,64,65,66,67,68,70,72,73,74,75,76,77,83,90,99,109,110,112,113,114,
115,116,117,118,119,120,121,124,129,130,131,132,133,134,135,136,138,139,142,
150,152,153,154,155,156,157,158,159,160,163,164,165,166,167,169,172,174,175,
180,181,183,184,185,186,187,188,190,191,192,193,194,195,198,200,201,202,203,
204,205,207,208,209,210,211,212,213,214,215,220,221,222,223,226,230,249,254,
260,264,271,276,294,295,296,297,298,299,300,302,304,305,308,309,310,311,313,
314,315,316,317,320,321,323,327,328,329,330,333,334,335,336,337,338,339,340,
345,351,354,355,356,357,360,367,368,369,370,372,373,375,377,378,379,382,383,
384,385,388,397,398,409,410,413,418,421,426,436,438,451,452,453,460,469,470,
471,478,479,488,490,491,517,521,547,548,594,605,606,607,611,615,616,620,622,
624,625,626,627,637,643,645,669,670,671,672,677,679,694,695,696,720,731,737,
739,745,753,754,817,818,821,825,841,843,885,889,919,931,935,946,956,968,1021,
1039,1078,1113,1175,1176,1277],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,20,
21,23,26,27,28,29,30,31,32,33,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,
52,53,55,56,57,58,59,60,62,63,64,65,66,67,68,70,72,73,74,75,76,79,83,90,100,
106,109,110,112,113,114,115,116,117,118,119,120,121,122,124,129,130,131,132,
133,134,135,138,139,142,147,152,153,154,155,156,157,158,159,163,164,165,166,
167,168,169,172,174,175,180,181,183,184,185,186,187,188,190,191,192,193,194,
195,198,200,201,202,203,204,205,207,208,209,210,211,212,213,214,215,220,221,
222,223,227,229,247,249,254,260,264,271,276,292,294,295,296,297,298,299,300,
302,304,305,308,309,310,311,313,314,315,316,317,323,324,326,327,328,329,330,
331,332,333,334,335,336,337,338,339,340,345,347,351,354,355,356,360,367,368,
369,370,371,372,373,374,375,378,379,382,383,384,387,389,402,409,410,411,412,
413,420,424,432,433,434,437,439,440,441,463,469,470,471,479,480,490,491,492,
517,521,546,557,594,600,605,606,607,609,613,615,616,619,620,624,625,626,627,
637,641,642,643,665,666,667,668,675,677,689,690,691,692,713,714,732,736,739,
744,751,752,814,817,818,821,825,841,843,883,885,889,920,925,926,934,943,948,
949,964,1021,1037,1076,1114,1172,1175,1176,1278],[1,2,3,4,6,7,8,9,10,11,12,13,
14,15,16,17,18,21,23,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,
47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,76,
78,84,85,98,107,108,111,113,114,115,116,117,118,119,120,121,125,127,128,131,
132,133,134,135,137,140,141,143,149,152,153,154,155,156,157,158,159,160,161,
162,164,167,168,169,170,171,173,176,177,178,179,189,190,191,192,193,194,195,
196,197,198,200,201,202,203,204,205,206,207,208,210,211,212,213,214,215,216,
217,218,219,223,228,231,248,253,258,263,267,272,294,295,296,297,298,299,301,
302,306,307,308,309,310,311,312,315,317,318,319,320,321,322,324,329,330,331,
332,334,335,336,341,342,343,344,346,347,350,352,353,358,359,362,363,364,365,
372,373,374,376,377,379,380,381,384,386,390,399,400,405,406,408,417,419,425,
454,455,456,457,458,461,472,473,474,476,477,485,486,487,516,520,537,538,595,
602,603,604,608,617,618,619,621,622,623,624,628,636,640,644,658,659,660,676,
677,698,699,700,701,719,733,735,740,743,747,748,815,816,823,826,840,845,886,
888,921,932,937,942,957,967,1022,1042,1081,1117,1174,1177,1279],[1,2,3,4,6,7,
8,9,10,11,12,13,14,15,16,17,18,21,23,26,27,28,29,30,31,32,33,35,36,37,38,39,
40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,
67,68,70,71,72,73,74,75,76,79,83,90,98,109,110,111,112,113,114,115,116,117,
118,119,120,121,124,125,126,128,129,130,131,132,133,134,135,144,145,146,151,
152,153,155,156,157,158,159,163,164,165,169,172,174,175,176,177,180,181,182,
183,184,185,186,187,188,190,191,192,193,194,195,196,198,199,200,201,202,203,
204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,220,221,222,223,
224,225,227,229,249,254,260,264,271,276,294,295,296,297,298,299,300,301,302,
303,304,305,307,308,309,310,311,313,314,315,316,317,323,328,329,330,333,335,
336,337,339,340,343,344,345,348,349,351,354,355,356,361,364,365,367,368,369,
370,372,375,378,379,382,383,384,389,391,392,403,414,415,416,423,428,429,435,
442,443,444,446,447,448,449,464,481,482,483,484,493,494,517,521,542,558,594,
605,606,607,612,615,616,618,620,624,625,626,627,637,646,647,650,651,652,653,
657,674,677,681,682,684,686,715,716,734,741,746,755,817,818,821,825,841,843,
885,889,923,929,933,944,950,951,965,1021,1038,1074,1115,1175,1176,1280],[1,2,
3,4,6,7,8,9,10,11,12,13,15,16,17,18,23,26,27,28,29,30,31,32,33,35,36,39,40,41,
42,43,44,45,47,48,49,50,51,52,53,55,56,58,62,64,66,67,68,70,71,72,73,76,83,90,
102,109,110,113,114,115,116,117,118,119,120,121,123,128,131,132,133,134,135,
153,155,156,158,159,161,163,164,171,176,178,190,191,192,193,194,198,200,201,
202,203,205,207,208,210,211,212,213,214,215,223,264,271,276,294,295,296,297,
298,299,302,308,309,310,311,313,314,315,316,317,323,328,329,333,335,345,364,
366,372,375,378,379,380,384,439,444,454,456,458,459,517,521,562,594,601,602,
620,624,625,626,637,658,659,661,663,677,825,841,843,889,921,922,1021,1071,
1106,1176,1281],[1,2,3,4,6,7,8,9,10,11,12,13,15,16,17,18,23,26,27,28,29,30,31,
32,33,34,36,39,40,41,42,43,44,45,47,48,49,50,51,52,53,55,56,58,62,64,66,67,68,
70,72,73,75,76,84,85,102,107,108,113,114,115,116,117,118,119,120,121,122,130,
131,132,133,134,135,152,154,156,160,166,167,168,169,174,180,183,190,191,192,
193,194,198,200,201,202,203,205,207,208,210,211,212,213,214,215,223,263,267,
272,294,295,296,297,298,299,302,308,309,310,311,312,318,319,320,321,324,330,
331,332,334,347,369,371,373,374,376,377,382,384,432,436,437,440,451,453,516,
520,561,595,600,605,619,621,622,623,636,666,668,669,670,677,826,840,845,888,
919,920,1022,1072,1105,1177,1282],[1,2,3,4,6,7,8,9,10,11,12,13,15,16,17,18,23,
26,27,28,29,30,31,32,33,34,36,39,40,41,42,43,44,45,47,48,49,50,51,52,53,55,56,
58,62,64,66,67,68,70,72,73,74,75,76,80,84,85,96,107,108,113,114,115,116,117,
118,119,120,121,129,130,131,132,133,134,135,152,154,156,160,165,167,168,169,
174,181,184,190,191,192,193,194,198,200,201,202,203,205,207,208,210,211,212,
213,214,215,223,232,233,234,263,267,272,294,295,296,297,298,299,302,308,309,
310,311,312,318,319,320,321,324,330,331,332,334,347,367,369,373,374,376,377,
383,384,435,442,446,447,465,466,467,468,495,504,516,520,564,571,595,606,619,
621,622,623,636,650,651,657,677,721,728,729,770,775,776,778,826,840,845,888,
923,938,958,960,1022,1048,1089,1126,1177,1283],[1,2,3,4,6,7,8,9,10,11,12,13,
15,16,17,18,23,26,27,28,29,30,31,32,33,35,36,39,40,41,42,43,44,45,47,48,49,50,
51,52,53,55,56,58,62,64,66,67,68,69,70,71,72,73,76,80,83,90,96,109,110,113,
114,115,116,117,118,119,120,121,127,128,131,132,133,134,135,153,155,156,158,
159,162,163,164,170,176,179,190,191,192,193,194,198,200,201,202,203,205,207,
208,210,211,212,213,214,215,223,232,233,234,264,271,276,294,295,296,297,298,
299,302,308,309,310,311,313,314,315,316,317,323,328,329,333,335,345,362,364,
372,375,378,379,381,384,434,445,448,450,465,466,467,468,495,504,517,521,565,
572,594,603,620,624,625,626,637,648,649,654,677,721,728,729,769,772,773,779,
825,841,843,889,924,938,959,961,1021,1047,1087,1127,1176,1284],[1,2,3,5,6,7,8,
9,10,11,12,15,16,17,18,24,27,28,29,30,32,34,36,39,40,41,44,45,47,49,51,53,55,
56,57,58,62,65,66,67,68,69,70,71,72,73,74,75,76,77,80,86,87,88,97,106,107,108,
113,118,119,120,122,125,127,128,129,130,131,134,135,136,137,138,139,140,142,
143,150,152,153,154,156,157,159,160,161,162,164,165,168,169,172,173,174,177,
178,179,185,186,191,192,207,208,211,213,214,215,223,226,230,232,233,234,273,
274,275,278,292,295,309,312,318,319,320,321,326,331,347,351,357,360,363,365,
367,369,372,376,377,380,381,393,394,397,398,409,411,418,419,421,426,434,439,
446,454,456,460,466,467,470,478,479,480,485,486,488,492,495,500,503,514,519,
536,569,570,573,598,604,623,632,642,651,658,667,676,715,719,722,729,736,745,
754,760,764,775,776,777,781,788,793,799,828,839,844,872,900,910,942,960,973,
977,979,1024,1049,1084,1086,1141,1180,1285],[1,2,3,5,6,7,8,10,11,12,13,15,16,
17,18,24,26,29,31,32,33,35,36,41,42,43,44,45,48,49,50,53,54,55,56,58,62,65,66,
67,68,69,70,71,72,73,74,75,76,78,80,87,89,92,97,105,109,110,114,116,117,121,
123,124,127,128,129,130,131,134,135,136,137,138,140,141,142,143,149,152,153,
155,156,157,158,163,164,167,169,170,172,173,175,176,180,181,183,184,189,190,
193,201,205,206,210,211,212,213,223,228,231,232,233,234,269,270,274,277,293,
294,308,313,314,315,316,317,325,328,345,350,358,359,362,364,368,370,373,378,
379,382,383,395,396,399,400,405,407,417,419,421,425,436,440,442,445,451,461,
465,468,473,475,476,477,485,488,489,490,495,501,502,515,518,535,567,568,573,
596,607,626,634,638,648,664,670,672,718,720,725,728,738,743,748,763,766,772,
773,780,784,787,793,800,827,838,842,871,898,915,946,959,972,975,980,1023,1050,
1085,1088,1142,1181,1286],[1,2,3,5,6,7,8,10,11,12,13,14,15,16,17,18,22,24,26,
29,31,32,33,35,36,37,41,42,43,44,45,46,48,49,50,53,54,55,56,57,58,59,60,62,63,
66,68,69,70,72,73,74,75,76,77,78,80,87,89,92,101,105,109,110,112,114,116,117,
121,123,127,129,130,131,135,137,140,141,143,149,150,153,155,158,163,164,170,
173,180,181,183,184,186,187,188,189,190,193,195,201,205,206,210,211,212,213,
220,221,222,223,226,228,230,231,232,233,234,235,236,237,238,257,259,262,269,
270,274,277,293,294,304,305,308,313,314,315,316,317,325,328,345,350,354,355,
356,358,359,362,378,379,382,383,385,388,395,396,399,400,405,407,417,419,425,
426,436,438,450,451,452,461,465,468,473,475,476,477,485,489,495,496,497,498,
499,500,503,505,515,518,535,553,559,560,596,611,626,627,634,638,649,670,671,
679,680,694,695,696,702,725,728,738,743,748,757,759,763,765,769,779,780,784,
785,794,795,798,799,819,822,827,838,842,869,871,890,898,961,968,970,975,982,
984,988,995,1001,1023,1044,1077,1092,1147,1181,1206,1287],[1,2,3,5,6,7,8,9,10,
11,12,14,15,16,17,18,22,24,27,28,29,30,32,34,36,37,38,39,40,41,44,45,47,49,51,
53,54,55,56,57,58,59,60,61,62,66,67,68,69,70,71,73,74,76,77,78,80,86,87,88,
101,106,107,108,111,113,118,119,120,122,127,128,129,131,134,136,138,139,142,
149,150,152,154,160,161,162,165,168,169,172,178,179,185,186,189,191,192,195,
196,197,207,208,211,213,214,215,217,218,219,223,226,228,230,231,232,233,234,
235,236,237,238,256,257,261,273,274,275,278,292,295,306,307,309,312,318,319,
320,321,322,326,331,347,351,352,353,357,360,367,376,377,380,381,386,390,393,
394,397,398,409,411,418,421,425,426,435,454,455,456,457,460,466,467,470,478,
479,480,488,492,495,496,497,498,499,501,502,505,514,519,536,553,554,555,598,
608,623,628,632,642,650,658,660,678,698,699,700,701,704,722,729,736,745,754,
756,758,760,767,770,777,778,781,786,796,797,798,800,820,824,828,839,844,870,
872,892,900,958,967,971,977,981,986,991,997,1000,1024,1043,1080,1093,1148,
1180,1205,1288],[1,2,3,4,6,7,8,10,11,12,13,14,15,16,17,18,20,21,23,26,29,31,
32,33,35,36,37,41,42,43,44,45,46,48,49,50,53,54,55,56,57,58,59,60,62,63,66,68,
69,70,72,73,74,75,76,77,78,80,83,91,93,94,96,98,99,100,102,105,109,110,112,
114,116,117,121,123,127,129,130,131,135,137,140,141,143,149,150,153,155,158,
163,164,170,173,180,181,183,184,186,187,188,189,190,193,195,201,205,206,210,
211,212,213,220,221,222,223,226,228,230,231,232,233,234,235,236,237,238,247,
249,250,252,254,255,264,265,268,271,279,280,281,284,285,287,288,289,293,294,
304,305,308,313,314,315,316,317,325,328,345,350,354,355,356,358,359,362,378,
379,382,383,385,388,395,396,399,400,405,407,417,419,425,426,436,438,450,451,
452,461,465,468,473,475,476,477,485,489,495,496,497,498,499,500,503,505,522,
533,534,542,544,545,546,547,548,549,556,557,562,565,574,577,581,583,596,611,
626,627,634,638,649,670,671,679,680,694,695,696,702,725,728,738,743,748,757,
759,763,765,769,779,780,784,785,794,795,798,799,831,832,836,837,848,852,853,
863,868,875,890,898,961,968,970,975,982,984,988,995,1001,1046,1051,1053,1060,
1066,1067,1069,1098,1147,1182,1189,1191,1195,1199,1203,1209,1289],[1,2,3,4,6,
7,8,9,10,11,12,14,15,16,17,18,20,21,23,27,28,29,30,32,34,36,37,38,39,40,41,44,
45,47,49,51,53,54,55,56,57,58,59,60,61,62,66,67,68,69,70,71,73,74,76,77,78,80,
84,91,93,94,96,98,99,100,102,106,107,108,111,113,118,119,120,122,127,128,129,
131,134,136,138,139,142,149,150,152,154,160,161,162,165,168,169,172,178,179,
185,186,189,191,192,195,196,197,207,208,211,213,214,215,217,218,219,223,226,
228,230,231,232,233,234,235,236,237,238,246,248,250,251,252,253,263,265,266,
267,279,280,282,284,285,287,288,289,292,295,306,307,309,312,318,319,320,321,
322,326,331,347,351,352,353,357,360,367,376,377,380,381,386,390,393,394,397,
398,409,411,418,421,425,426,435,454,455,456,457,460,466,467,470,478,479,480,
488,492,495,496,497,498,499,501,502,505,523,531,532,537,538,539,540,541,543,
549,550,551,561,564,575,576,580,583,598,608,623,628,632,642,650,658,660,678,
698,699,700,701,704,722,729,736,745,754,756,758,760,767,770,777,778,781,786,
796,797,798,800,830,833,834,835,849,850,851,864,866,874,892,900,958,967,971,
977,981,986,991,997,1000,1045,1052,1054,1061,1064,1065,1070,1097,1148,1183,
1190,1192,1196,1200,1201,1208,1290],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,
18,20,21,23,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,47,48,49,
50,51,52,53,54,55,56,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,76,79,83,90,
93,94,96,98,99,100,102,105,107,108,111,113,114,115,116,117,118,119,120,121,
123,125,127,128,131,132,133,134,135,140,141,143,148,152,153,154,155,156,157,
159,160,161,162,163,164,167,168,169,170,171,173,176,177,178,179,189,190,191,
192,193,194,195,196,197,198,200,201,202,203,204,205,206,207,208,210,211,212,
213,214,215,216,217,218,219,223,225,227,247,249,254,260,264,271,276,279,280,
284,285,287,288,289,293,294,295,296,297,298,299,301,302,306,307,308,309,310,
311,312,318,319,320,321,322,323,324,325,328,329,330,331,332,333,334,335,336,
341,342,343,344,345,346,347,350,352,353,359,362,363,364,365,366,372,373,374,
375,376,377,380,381,384,387,391,401,404,405,406,407,408,422,427,439,440,441,
442,443,444,459,462,472,473,474,475,476,486,487,489,517,522,529,533,542,546,
547,548,557,558,562,565,572,583,595,601,602,603,604,610,614,617,618,619,620,
621,622,623,628,636,638,639,640,661,662,663,664,673,677,686,687,688,689,711,
712,730,738,740,742,749,750,814,817,818,825,832,836,841,848,852,853,859,863,
868,884,886,888,922,927,928,936,945,954,955,969,1026,1037,1038,1039,1047,1058,
1071,1074,1076,1098,1112,1179,1186,1187,1193,1198,1211,1216,1291],[1,2,3,4,6,
7,8,9,10,11,12,13,14,15,16,17,18,20,21,23,26,27,28,29,30,31,32,33,35,36,37,39,
40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,62,63,64,65,66,67,
68,70,72,73,74,75,76,79,84,85,93,94,96,98,99,100,102,106,109,110,112,113,114,
115,116,117,118,119,120,121,122,124,129,130,131,132,133,134,135,138,139,142,
147,152,153,154,155,156,157,158,159,163,164,165,166,167,168,169,172,174,175,
180,181,183,184,185,186,187,188,190,191,192,193,194,195,198,200,201,202,203,
204,205,207,208,209,210,211,212,213,214,215,220,221,222,223,227,229,246,248,
253,258,263,267,272,279,280,284,285,287,288,289,292,294,295,296,297,298,299,
300,302,304,305,308,309,310,311,313,314,315,316,317,323,324,326,327,328,329,
330,331,332,333,334,335,336,337,338,339,340,345,347,351,354,355,356,360,367,
368,369,370,371,372,373,374,375,378,379,382,383,384,387,389,402,409,410,411,
412,413,420,424,432,433,434,437,439,440,441,463,469,470,471,479,480,490,491,
492,516,523,530,532,537,538,541,543,551,552,561,564,571,583,594,600,605,606,
607,609,613,615,616,619,620,624,625,626,627,637,641,642,643,665,666,667,668,
675,677,689,690,691,692,713,714,732,736,739,744,751,752,813,815,816,826,833,
834,840,849,850,851,858,864,866,883,885,889,920,925,926,934,943,948,949,964,
1025,1040,1041,1042,1048,1057,1072,1075,1079,1097,1114,1178,1185,1188,1194,
1197,1210,1215,1292],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,23,26,
27,28,29,30,31,32,33,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,
55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,79,83,84,91,
93,94,96,98,99,100,102,105,106,111,112,113,114,115,116,117,118,119,120,121,
122,123,124,125,126,127,128,129,130,131,132,133,134,135,138,139,140,141,142,
143,144,145,146,147,148,151,152,153,154,155,156,157,159,163,164,165,166,167,
168,169,170,171,172,173,174,175,176,177,182,185,186,187,188,189,190,191,192,
193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,
212,213,214,215,216,217,218,219,220,221,222,223,224,225,227,229,246,247,248,
249,250,251,252,253,254,255,263,264,265,266,267,268,271,279,280,283,284,285,
287,288,289,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,
308,309,310,311,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,
338,339,340,341,342,343,344,345,346,347,348,349,350,351,359,360,361,362,363,
364,365,366,367,368,369,370,371,372,373,374,375,384,387,389,391,392,401,402,
403,404,405,406,407,408,409,410,411,412,413,414,415,416,420,422,423,424,427,
428,429,430,432,433,434,439,440,441,442,443,444,447,448,449,462,463,464,469,
470,471,472,473,474,475,476,479,480,481,482,483,484,486,487,489,490,491,492,
493,494,522,523,531,532,533,534,537,538,539,540,541,542,543,544,545,546,547,
548,549,550,551,556,557,561,562,563,564,565,566,578,579,582,583,609,610,612,
613,614,615,616,617,618,619,620,638,639,640,641,642,643,646,647,652,653,654,
655,656,657,662,663,664,665,666,667,673,674,675,677,681,682,683,684,685,686,
687,688,689,690,691,692,706,707,708,709,710,730,732,734,736,738,739,740,741,
742,744,746,749,750,751,752,755,790,791,792,829,832,833,834,835,836,837,847,
848,849,850,851,852,853,854,855,863,864,865,866,867,868,873,887,894,895,896,
897,906,907,908,933,934,936,964,965,966,969,992,993,1055,1056,1059,1062,1063,
1068,1073,1097,1098,1099,1120,1184,1202,1204,1207,1212,1213,1214,1293],[1,2,3,
6,7,10,11,12,14,15,16,25,26,27,32,36,37,38,41,44,45,46,49,50,51,52,64,65,67,
72,79,103,105,106,111,112,113,114,122,123,124,125,126,133,147,148,151,185,199,
200,202,203,204,205,206,207,209,216,224,225,227,229,292,293,300,301,302,303,
387,389,391,392,424,427,428,429,430,584,585,609,610,612,710,876,877,887,
1294],[1,2,3,6,7,8,10,12,13,15,16,25,27,29,31,32,33,35,41,42,43,45,48,49,51,
67,103,106,109,110,113,115,116,117,121,122,166,167,185,207,292,311,313,324,
327,371,584,586,594,600,613,877,883,1232,1295],[1,2,3,6,7,8,9,10,11,12,16,25,
26,28,29,30,34,36,39,40,41,44,47,49,50,72,103,105,107,108,114,115,118,119,120,
123,159,171,205,206,293,310,312,323,346,366,585,587,595,601,614,876,884,1233,
1296],[1,2,3,5,6,8,9,11,17,19,22,27,28,40,55,73,77,82,86,87,88,106,107,136,
150,160,165,208,261,318,326,398,514,519,536,588,589,598,812,820,1012,1024,
1297],[1,2,3,5,7,8,13,15,17,19,22,26,31,43,58,66,78,82,87,89,92,105,109,137,
149,158,170,201,259,314,325,400,515,518,535,588,590,596,811,819,1011,1023,
1298],[1,2,3,4,7,14,15,17,19,21,23,26,31,46,57,58,66,74,77,82,83,91,93,96,99,
105,170,187,201,230,254,264,268,281,285,325,385,450,522,547,565,591,680,811,
831,852,1011,1046,1299],[1,2,3,4,6,11,14,17,19,21,23,27,28,38,54,55,69,73,78,
82,84,91,94,96,98,106,165,197,208,228,253,263,266,282,284,326,386,435,523,537,
564,591,678,812,830,850,1012,1045,1300],[1,2,3,5,7,15,17,18,19,24,26,31,58,66,
75,80,82,89,97,104,105,170,180,201,234,242,270,290,325,436,465,515,567,592,
780,811,842,1011,1088,1100,1161,1234,1301],[1,2,3,5,6,11,17,18,19,24,27,28,55,
71,73,80,82,86,97,104,106,161,165,208,232,242,275,290,326,454,466,514,570,592,
777,812,844,1012,1086,1101,1160,1235,1302],[1,2,3,4,5,6,7,11,12,15,16,17,20,
21,22,23,25,44,45,49,55,58,62,76,81,83,84,86,89,93,94,96,98,99,100,102,103,
223,239,241,243,244,245,246,247,253,254,259,261,267,271,279,280,284,285,287,
288,289,506,507,509,512,513,551,557,583,593,803,804,805,806,807,808,882,1008,
1009,1013,1166,1236,1303],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,17,18,26,27,28,
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,
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,
238,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,
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,
500,501,502,503,504,505,594,595,596,597,598,599,600,601,602,603,604,605,606,
607,608,609,610,611,612,613,614,615,616,617,618,619,620,621,622,623,624,625,
626,627,628,629,630,631,632,633,634,635,636,637,638,639,640,641,642,643,644,
645,646,647,648,649,650,651,652,653,654,655,656,657,658,659,660,661,662,663,
664,665,666,667,668,669,670,671,672,673,674,675,676,677,678,679,680,681,682,
683,684,685,686,687,688,689,690,691,692,693,694,695,696,697,698,699,700,701,
702,703,704,705,706,707,708,709,710,711,712,713,714,715,716,717,718,719,720,
721,722,723,724,725,726,727,728,729,730,731,732,733,734,735,736,737,738,739,
740,741,742,743,744,745,746,747,748,749,750,751,752,753,754,755,756,757,758,
759,760,761,762,763,764,765,766,767,768,769,770,771,772,773,774,775,776,777,
778,779,780,781,782,783,784,785,786,787,788,789,790,791,792,793,794,795,796,
797,798,799,800,801,802,883,884,885,886,887,888,889,890,891,892,893,894,895,
896,897,898,899,900,901,902,903,904,905,906,907,908,909,910,911,912,913,914,
915,916,917,918,919,920,921,922,923,924,925,926,927,928,929,930,931,932,933,
934,935,936,937,938,939,940,941,942,943,944,945,946,947,948,949,950,951,952,
953,954,955,956,957,958,959,960,961,962,963,964,965,966,967,968,969,970,971,
972,973,974,975,976,977,978,979,980,981,982,983,984,985,986,987,988,989,990,
991,992,993,994,995,996,997,998,999,1000,1001,1002,1102,1103,1104,1105,1106,
1107,1108,1109,1110,1111,1112,1113,1114,1115,1116,1117,1118,1119,1120,1121,
1122,1123,1124,1125,1126,1127,1128,1129,1130,1131,1132,1133,1134,1135,1136,
1137,1138,1139,1140,1141,1142,1143,1144,1145,1146,1147,1148,1237,1238,1239,
1240,1241,1242,1243,1244,1245,1246,1247,1248,1249,1250,1251,1304],[1,2,3,4,5,
6,7,8,9,10,11,12,16,20,23,24,26,28,29,30,34,36,39,40,41,44,47,49,50,72,81,83,
84,85,86,87,88,90,93,94,95,102,105,107,108,114,115,118,119,120,123,159,171,
205,206,241,246,264,271,273,274,275,276,278,288,293,310,312,323,346,366,506,
508,516,517,519,520,522,524,525,526,529,533,562,595,601,614,805,813,825,828,
841,868,884,1005,1007,1022,1026,1028,1058,1071,1155,1173,1187,1252,1305],[1,2,
3,4,5,6,7,8,10,12,13,15,16,20,23,24,27,29,31,32,33,35,41,42,43,45,48,49,51,67,
81,83,84,85,87,89,90,92,93,94,95,102,106,109,110,113,115,116,117,121,122,166,
167,185,207,241,247,263,267,269,270,272,274,277,288,292,311,313,324,327,371,
507,508,516,517,518,521,523,524,527,528,530,532,561,594,600,613,806,814,826,
827,840,866,883,1005,1006,1021,1025,1027,1057,1072,1154,1172,1188,1253,1306],[
1,2,3,4,5,6,7,8,9,10,11,12,13,15,16,17,20,21,23,24,26,27,28,29,30,31,32,33,35,
36,39,40,41,42,43,44,45,47,48,49,50,51,52,53,55,56,58,62,64,66,67,68,72,73,76,
81,83,84,85,87,89,90,92,93,95,98,100,109,110,113,114,115,116,117,118,119,120,
121,131,132,133,134,135,153,155,158,159,163,164,190,191,192,193,194,198,200,
201,202,203,205,207,208,210,211,212,213,214,215,223,241,246,248,253,263,264,
267,269,270,271,272,274,276,277,280,294,295,296,297,298,299,302,308,309,310,
311,313,314,315,316,317,323,328,329,333,335,345,372,375,378,379,384,507,508,
516,517,518,521,524,527,528,530,532,537,538,541,551,594,620,624,625,626,637,
677,804,813,815,825,826,827,834,841,843,889,1005,1006,1021,1025,1027,1041,
1042,1155,1176,1178,1253,1307],[1,2,3,4,5,6,7,8,9,10,11,12,13,15,16,17,20,21,
23,24,26,27,28,29,30,31,32,33,34,36,39,40,41,42,43,44,45,47,48,49,50,51,52,53,
55,56,58,62,64,66,67,68,72,73,76,81,83,84,85,86,87,88,90,94,95,99,100,107,108,
113,114,115,116,117,118,119,120,121,131,132,133,134,135,152,154,160,167,168,
169,190,191,192,193,194,198,200,201,202,203,205,207,208,210,211,212,213,214,
215,223,241,247,249,254,263,264,267,271,272,273,274,275,276,278,279,294,295,
296,297,298,299,302,308,309,310,311,312,318,319,320,321,324,330,331,332,334,
347,373,374,376,377,384,506,508,516,517,519,520,524,525,526,529,533,546,547,
548,557,595,619,621,622,623,636,677,803,814,817,825,826,828,836,840,845,888,
1005,1007,1022,1026,1028,1037,1039,1154,1177,1179,1252,1308],[1,2,3,4,5,6,7,8,
10,12,13,14,15,16,17,18,21,22,23,24,27,29,31,32,33,35,37,41,42,43,45,46,48,50,
51,52,56,57,58,59,60,63,65,67,70,73,74,75,81,83,84,85,87,89,90,92,93,95,96,97,
99,101,109,110,112,113,115,116,117,121,124,129,130,152,156,157,165,169,172,
174,175,180,181,183,184,185,186,187,188,195,202,204,209,213,220,221,222,239,
248,249,254,257,258,259,260,262,263,267,269,270,272,274,277,285,286,300,304,
305,311,313,330,336,337,339,340,351,354,355,356,367,368,369,370,382,383,507,
508,516,517,518,521,524,527,528,530,532,543,552,553,559,560,564,567,568,571,
573,594,605,606,607,615,616,627,808,809,816,817,818,821,822,826,827,851,856,
857,858,862,885,1005,1006,1021,1025,1027,1040,1044,1048,1050,1151,1153,1175,
1215,1217,1253,1309],[1,2,3,4,5,6,7,8,9,10,11,12,14,16,17,18,21,22,23,24,26,
28,29,30,34,36,37,38,39,40,41,44,47,50,51,52,53,54,55,59,60,61,65,66,69,70,71,
72,81,83,84,85,86,87,88,90,94,95,96,97,98,101,107,108,111,114,115,118,119,120,
125,127,128,153,156,157,161,162,164,170,173,176,177,178,179,189,195,196,197,
200,204,206,211,216,217,218,219,239,248,249,253,256,257,258,260,261,264,271,
273,274,275,276,278,284,286,301,306,307,310,312,322,329,336,342,343,344,350,
352,353,362,363,364,365,380,381,506,508,516,517,519,520,524,525,526,529,533,
542,553,554,555,558,565,569,570,572,573,595,602,603,604,617,618,628,807,809,
815,816,818,823,824,825,828,853,859,860,861,862,886,1005,1007,1022,1026,1028,
1038,1043,1047,1049,1151,1152,1174,1216,1218,1252,1310],[1,2,3,4,5,6,7,9,10,
11,12,14,15,16,17,18,20,21,22,23,24,27,28,30,32,38,41,44,45,47,49,51,54,55,56,
57,58,59,61,62,67,69,71,73,76,78,80,81,84,86,93,94,96,98,99,100,101,102,106,
113,120,122,134,138,139,161,162,165,168,169,172,185,186,196,197,207,208,213,
214,215,223,228,232,235,237,239,240,241,246,248,253,261,263,267,275,279,280,
284,285,287,288,289,292,309,322,326,347,351,360,386,435,454,455,466,479,480,
492,499,502,506,509,510,511,514,523,532,537,538,541,543,551,555,561,564,583,
678,701,736,777,778,786,797,803,805,807,810,820,833,834,844,849,850,851,864,
866,991,1004,1009,1080,1097,1149,1156,1158,1257,1258,1261,1311],[1,2,3,4,5,6,
7,10,11,12,13,14,15,16,17,18,20,21,22,23,24,26,31,33,36,41,44,45,46,48,49,50,
53,54,55,57,58,59,62,63,66,72,74,75,76,77,80,81,83,89,93,94,96,98,99,100,101,
102,105,114,121,123,135,140,141,163,164,170,173,180,181,187,188,189,201,205,
206,210,211,212,223,230,234,236,237,239,240,241,247,249,254,259,264,270,271,
279,280,284,285,287,288,289,293,308,325,345,350,356,359,385,436,438,450,465,
475,476,489,498,503,507,509,510,511,515,522,533,542,546,547,548,557,560,562,
565,583,679,680,738,779,780,785,794,804,806,808,810,819,832,836,842,848,852,
853,863,868,988,1003,1008,1077,1098,1150,1157,1159,1256,1259,1262,1312],[1,2,
3,4,5,7,8,13,14,15,17,18,21,22,23,24,26,31,43,46,57,58,60,63,66,74,75,77,78,
80,81,83,85,87,89,90,92,93,95,96,97,99,101,105,109,137,149,158,170,180,184,
187,201,222,230,234,235,238,239,254,257,258,259,260,262,264,270,272,282,285,
286,314,325,354,385,400,436,450,452,465,496,500,507,508,515,518,521,522,527,
530,535,547,552,560,565,567,571,575,576,580,596,680,696,759,765,769,780,808,
809,819,821,822,842,843,852,857,858,869,874,984,1003,1006,1023,1031,1032,1035,
1077,1078,1087,1088,1150,1153,1206,1224,1226,1228,1255,1313],[1,2,3,4,5,6,8,9,
11,14,17,18,21,22,23,24,27,28,38,40,54,55,60,61,69,71,73,77,78,80,81,84,85,86,
87,88,90,94,95,96,97,98,101,106,107,136,150,160,161,165,179,197,208,218,228,
232,236,238,239,253,256,257,258,260,261,263,275,276,281,284,286,318,326,352,
386,398,435,454,457,466,497,501,506,508,514,519,520,523,525,529,536,537,555,
558,564,570,572,574,577,581,598,678,699,758,767,770,777,807,809,820,823,824,
844,845,850,859,861,870,875,986,1004,1007,1024,1029,1030,1033,1080,1081,1086,
1089,1149,1152,1205,1223,1225,1229,1254,1314],[1,2,3,4,6,7,8,10,12,13,15,25,
27,29,31,32,33,35,41,42,43,45,48,83,90,109,110,113,115,116,117,121,245,311,
313,517,521,584,586,594,1021,1232,1315],[1,2,3,4,6,7,8,9,10,11,12,25,26,28,29,
30,34,36,39,40,41,44,47,84,85,107,108,114,115,118,119,120,245,310,312,516,520,
585,587,595,1022,1233,1316],[1,2,3,4,6,7,8,9,10,11,12,23,25,26,28,29,30,34,36,
39,40,41,44,47,83,90,94,107,108,114,115,118,119,120,243,264,271,276,310,312,
517,529,533,585,587,595,825,1016,1026,1233,1317],[1,2,3,4,6,7,8,10,12,13,15,
23,25,27,29,31,32,33,35,41,42,43,45,48,84,85,93,109,110,113,115,116,117,121,
243,263,267,272,311,313,516,530,532,584,586,594,826,1017,1025,1232,1318],[1,2,
3,5,6,7,8,10,12,13,15,24,25,27,29,31,32,33,35,41,42,43,45,48,87,89,92,95,109,
110,113,115,116,117,121,244,269,270,274,277,311,313,518,524,527,528,584,586,
594,827,1018,1027,1232,1319],[1,2,3,5,6,7,8,9,10,11,12,24,25,26,28,29,30,34,
36,39,40,41,44,47,86,87,88,95,107,108,114,115,118,119,120,244,273,274,275,278,
310,312,519,524,525,526,585,587,595,828,1019,1028,1233,1320],[1,2,3,4,6,7,8,
10,12,14,16,18,20,21,23,25,26,27,29,37,41,49,50,51,59,60,65,67,70,72,79,83,84,
90,91,100,115,156,157,159,167,195,204,205,207,227,243,246,247,248,249,250,252,
260,263,264,265,283,323,324,336,387,439,440,441,517,541,546,549,585,689,814,
818,829,841,1013,1015,1016,1063,1076,1321],[1,2,3,4,7,8,13,14,15,17,18,21,23,
25,26,31,43,46,57,58,60,63,66,74,75,77,83,90,91,99,109,158,180,184,187,201,
222,230,243,250,254,255,260,264,268,281,314,354,385,436,452,521,545,547,585,
696,821,831,843,1015,1016,1066,1078,1322],[1,2,3,4,6,7,8,10,12,14,16,18,20,21,
23,25,26,27,29,37,41,49,50,51,59,60,65,67,70,72,79,83,84,85,91,100,115,156,
157,159,167,195,204,205,207,227,243,246,247,248,249,250,252,258,263,264,265,
283,323,324,336,387,439,440,441,516,541,546,549,584,689,813,816,829,840,1013,
1014,1017,1063,1079,1323],[1,2,3,4,6,8,9,11,14,17,18,21,23,25,27,28,38,40,54,
55,60,61,69,71,73,78,84,85,91,98,107,160,161,179,197,208,218,228,243,250,251,
253,258,263,266,282,318,352,386,454,457,520,537,540,584,699,823,830,845,1014,
1017,1065,1081,1324],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,23,26,
27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,
54,55,56,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,76,78,79,84,85,93,98,
100,105,107,108,109,110,111,113,114,115,116,117,118,119,120,121,123,125,127,
128,131,132,133,134,135,137,140,141,143,148,149,152,153,154,155,156,157,158,
159,160,161,162,163,164,167,168,169,170,171,173,176,177,178,179,189,190,191,
192,193,194,195,196,197,198,200,201,202,203,204,205,206,207,208,210,211,212,
213,214,215,216,217,218,219,223,225,227,228,231,246,248,253,258,263,267,272,
280,293,294,295,296,297,298,299,301,302,306,307,308,309,310,311,312,313,314,
315,316,317,318,319,320,321,322,323,324,325,328,329,330,331,332,333,334,335,
336,341,342,343,344,345,346,347,350,352,353,358,359,362,363,364,365,366,372,
373,374,375,376,377,378,379,380,381,384,386,387,390,391,395,396,399,400,401,
404,405,406,407,408,417,419,422,425,427,431,439,440,441,442,443,444,454,455,
456,457,458,459,461,462,472,473,474,475,476,477,485,486,487,489,516,520,530,
532,537,538,541,551,594,595,596,597,601,602,603,604,608,610,614,617,618,619,
620,621,622,623,624,625,626,628,629,633,634,635,636,637,638,639,640,644,658,
659,660,661,662,663,664,673,676,677,686,687,688,689,698,699,700,701,711,712,
719,725,726,727,730,733,735,738,740,742,743,747,748,749,750,762,763,813,815,
816,823,826,834,840,845,884,886,888,889,898,899,921,922,927,928,932,936,937,
939,942,945,954,955,957,962,967,969,1022,1025,1041,1042,1079,1081,1103,1104,
1106,1107,1108,1112,1117,1173,1174,1177,1178,1237,1266,1276,1279,1325],[1,2,3,
4,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,23,26,27,28,29,30,31,32,33,34,35,
36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,62,63,64,
65,66,67,68,70,72,73,74,75,76,77,79,83,90,94,99,100,106,107,108,109,110,112,
113,114,115,116,117,118,119,120,121,122,124,129,130,131,132,133,134,135,136,
138,139,142,147,150,152,153,154,155,156,157,158,159,160,163,164,165,166,167,
168,169,172,174,175,180,181,183,184,185,186,187,188,190,191,192,193,194,195,
198,200,201,202,203,204,205,207,208,209,210,211,212,213,214,215,220,221,222,
223,226,227,229,230,247,249,254,260,264,271,276,279,292,294,295,296,297,298,
299,300,302,304,305,308,309,310,311,312,313,314,315,316,317,318,319,320,321,
323,324,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,345,347,
351,354,355,356,357,360,367,368,369,370,371,372,373,374,375,376,377,378,379,
382,383,384,385,387,388,389,393,394,397,398,402,409,410,411,412,413,418,420,
421,424,426,431,432,433,434,436,437,438,439,440,441,451,452,453,460,463,469,
470,471,478,479,480,488,490,491,492,517,521,529,533,546,547,548,557,594,595,
598,599,600,605,606,607,609,611,613,615,616,619,620,621,622,623,624,625,626,
627,630,631,632,635,636,637,641,642,643,645,665,666,667,668,669,670,671,672,
675,677,679,689,690,691,692,694,695,696,713,714,720,722,723,724,731,732,736,
737,739,744,745,751,752,753,754,760,761,814,817,818,821,825,836,841,843,883,
885,888,889,900,901,919,920,925,926,931,934,935,939,943,946,948,949,956,963,
964,968,1021,1026,1037,1039,1076,1078,1102,1104,1105,1109,1110,1113,1114,1172,
1175,1176,1179,1238,1267,1277,1278,1326],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,
16,17,18,20,21,23,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,
47,48,49,50,51,52,53,55,56,57,58,59,60,62,63,64,65,66,67,68,70,72,73,74,75,76,
77,79,83,84,90,91,94,99,100,106,107,108,109,110,112,113,114,115,116,117,118,
119,120,121,122,124,129,130,131,132,133,134,135,136,138,139,142,147,150,152,
153,154,155,156,157,158,159,160,163,164,165,166,167,168,169,172,174,175,180,
181,183,184,185,186,187,188,190,191,192,193,194,195,198,200,201,202,203,204,
205,207,208,209,210,211,212,213,214,215,220,221,222,223,226,227,229,230,246,
247,248,249,250,252,254,255,263,264,265,268,271,276,279,281,283,292,294,295,
296,297,298,299,300,302,304,305,308,309,310,311,312,313,314,315,316,317,318,
319,320,321,323,324,326,327,328,329,330,331,332,333,334,335,336,337,338,339,
340,345,347,351,354,355,356,357,360,367,368,369,370,371,372,373,374,375,376,
377,378,379,382,383,384,385,387,388,389,393,394,397,398,402,409,410,411,412,
413,418,420,421,424,426,431,432,433,434,436,437,438,439,440,441,451,452,453,
460,463,469,470,471,478,479,480,488,490,491,492,517,523,529,533,534,541,543,
544,545,546,547,548,549,556,557,577,579,594,595,598,599,600,605,606,607,609,
611,613,615,616,619,620,621,622,623,624,625,626,627,630,631,632,635,636,637,
641,642,643,645,665,666,667,668,669,670,671,672,675,677,679,689,690,691,692,
694,695,696,713,714,720,722,723,724,731,732,736,737,739,744,745,751,752,753,
754,760,761,814,817,825,829,831,833,836,837,883,885,888,889,900,901,919,920,
925,926,931,934,935,939,943,946,948,949,956,963,964,968,1026,1033,1034,1037,
1039,1053,1056,1062,1063,1066,1067,1091,1102,1104,1105,1109,1110,1113,1114,
1179,1202,1203,1238,1268,1327],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,20,
21,23,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,
51,52,53,54,55,56,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,76,78,79,83,84,
85,91,93,98,100,105,107,108,109,110,111,113,114,115,116,117,118,119,120,121,
123,125,127,128,131,132,133,134,135,137,140,141,143,148,149,152,153,154,155,
156,157,158,159,160,161,162,163,164,167,168,169,170,171,173,176,177,178,179,
189,190,191,192,193,194,195,196,197,198,200,201,202,203,204,205,206,207,208,
210,211,212,213,214,215,216,217,218,219,223,225,227,228,231,246,247,248,249,
250,251,252,253,263,264,265,266,267,272,280,282,283,293,294,295,296,297,298,
299,301,302,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,
322,323,324,325,328,329,330,331,332,333,334,335,336,341,342,343,344,345,346,
347,350,352,353,358,359,362,363,364,365,366,372,373,374,375,376,377,378,379,
380,381,384,386,387,390,391,395,396,399,400,401,404,405,406,407,408,417,419,
422,425,427,431,439,440,441,442,443,444,454,455,456,457,458,459,461,462,472,
473,474,475,476,477,485,486,487,489,516,522,530,531,532,537,538,539,540,541,
542,546,549,550,551,576,578,594,595,596,597,601,602,603,604,608,610,614,617,
618,619,620,621,622,623,624,625,626,628,629,633,634,635,636,637,638,639,640,
644,658,659,660,661,662,663,664,673,676,677,686,687,688,689,698,699,700,701,
711,712,719,725,726,727,730,733,735,738,740,742,743,747,748,749,750,762,763,
813,815,826,829,830,832,834,835,884,886,888,889,898,899,921,922,927,928,932,
936,937,939,942,945,954,955,957,962,967,969,1025,1035,1036,1041,1042,1054,
1055,1063,1064,1065,1068,1090,1103,1104,1106,1107,1108,1112,1117,1178,1201,
1204,1237,1269,1328],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,23,26,
27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,
54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,84,
85,94,99,100,105,106,107,108,111,112,113,114,115,116,117,118,119,120,121,122,
123,124,125,126,127,128,129,130,131,132,133,134,135,136,138,139,140,141,142,
143,144,145,146,147,148,150,151,152,153,154,155,156,157,159,160,161,162,163,
164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,182,185,186,
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,
225,226,227,229,230,246,248,253,258,263,267,272,279,292,293,294,295,296,297,
298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,318,319,320,321,
322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,
341,342,343,344,345,346,347,348,349,350,351,352,353,357,359,360,361,362,363,
364,365,366,367,368,369,370,371,372,373,374,375,376,377,380,381,384,385,387,
388,389,391,392,393,394,397,398,401,402,403,404,405,406,407,408,409,410,411,
412,413,414,415,416,418,420,421,422,423,424,426,427,428,429,430,432,433,434,
439,440,441,442,443,444,445,447,448,449,450,459,460,462,463,464,469,470,471,
472,473,474,475,476,478,479,480,481,482,483,484,486,487,488,489,490,491,492,
493,494,516,520,523,541,543,551,552,595,598,599,601,602,603,604,609,610,611,
612,613,614,615,616,617,618,619,620,621,622,623,628,630,631,632,636,638,639,
640,641,642,643,645,646,647,648,649,652,653,654,655,656,657,661,662,663,664,
665,666,667,672,673,674,675,677,680,681,682,683,684,685,686,687,688,689,690,
691,692,693,702,703,706,707,708,709,710,711,712,717,718,722,723,724,730,731,
732,734,736,737,738,739,740,741,742,744,745,746,749,750,751,752,753,754,755,
760,761,790,791,792,813,815,816,823,826,833,840,845,884,886,887,888,890,891,
894,895,896,897,900,901,904,905,906,907,908,914,915,916,917,918,922,924,927,
928,930,933,934,935,936,941,945,947,952,953,954,955,963,964,965,966,969,992,
993,1022,1030,1040,1041,1057,1075,1079,1102,1112,1116,1119,1120,1122,1123,
1139,1140,1173,1174,1177,1197,1240,1270,1275,1276,1329],[1,2,3,4,6,7,8,9,10,
11,12,13,14,15,16,17,18,20,21,23,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,
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,
68,69,70,71,72,73,74,75,76,78,79,83,90,93,98,100,105,106,109,110,111,112,113,
114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,
133,134,135,137,138,139,140,141,142,143,144,145,146,147,148,149,151,152,153,
154,155,156,157,158,159,163,164,165,166,167,168,169,170,171,172,173,174,175,
176,177,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,
197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,
216,217,218,219,220,221,222,223,224,225,227,228,229,231,247,249,254,260,264,
271,276,280,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,
308,309,310,311,313,314,315,316,317,323,324,325,326,327,328,329,330,331,332,
333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,
354,355,356,358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,
374,375,378,379,382,383,384,386,387,389,390,391,392,395,396,399,400,401,402,
403,404,405,406,407,408,409,410,411,412,413,414,415,416,417,419,420,422,423,
424,425,427,428,429,430,432,433,434,435,437,439,440,441,442,443,444,446,447,
448,449,461,462,463,464,469,470,471,472,473,474,475,476,477,479,480,481,482,
483,484,485,486,487,489,490,491,492,493,494,517,521,522,542,546,557,558,594,
596,597,600,605,606,607,608,609,610,612,613,614,615,616,617,618,619,620,624,
625,626,627,629,633,634,637,638,639,640,641,642,643,644,646,647,650,651,652,
653,654,655,656,657,662,663,664,665,666,667,668,673,674,675,676,677,678,681,
682,683,684,685,686,687,688,689,690,691,692,697,704,705,706,707,708,709,710,
713,714,715,716,725,726,727,730,732,733,734,735,736,738,739,740,741,742,743,
744,746,747,748,749,750,751,752,755,762,763,790,791,792,814,817,818,821,825,
832,841,843,883,885,887,889,892,893,894,895,896,897,898,899,902,903,906,907,
908,909,910,911,912,913,920,923,925,926,929,933,934,936,937,940,943,944,948,
949,950,951,962,964,965,966,969,992,993,1021,1032,1037,1038,1058,1074,1076,
1103,1114,1115,1118,1120,1124,1125,1137,1138,1172,1175,1176,1198,1239,1271,
1278,1280,1330],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,21,23,26,27,28,29,
30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,
57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,83,84,90,
91,94,96,98,106,107,108,111,112,113,114,115,116,117,118,119,120,121,122,124,
125,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,146,
147,149,150,152,153,154,155,156,157,158,159,160,161,162,164,165,166,167,168,
169,170,171,172,173,174,176,177,178,179,181,182,184,185,186,187,189,190,191,
192,193,194,195,196,197,198,200,201,202,203,204,205,206,207,208,209,210,211,
212,213,214,215,216,217,218,219,221,223,226,227,228,229,230,231,232,233,234,
235,236,237,238,249,251,253,260,263,264,265,268,271,276,281,283,284,292,294,
295,296,297,298,299,300,301,302,304,306,307,308,309,310,311,312,315,317,318,
319,320,321,322,324,326,327,329,330,331,332,334,335,336,337,338,341,342,343,
344,346,347,349,350,351,352,353,357,358,359,360,362,363,364,365,367,368,369,
371,372,373,374,376,377,379,380,381,383,384,385,386,387,388,389,390,393,394,
397,398,399,400,402,405,406,408,409,410,411,412,413,415,416,417,418,419,420,
421,424,425,426,434,435,437,439,442,443,446,447,449,454,455,456,457,458,460,
461,463,465,466,467,468,469,470,471,472,473,474,476,477,478,479,480,482,485,
486,487,488,490,491,492,495,496,497,498,499,500,501,502,503,504,505,517,523,
529,533,534,537,539,542,558,564,565,566,572,574,577,579,581,595,598,599,602,
603,604,606,608,609,611,613,615,617,618,619,621,622,623,624,628,630,631,632,
636,640,641,642,643,644,645,646,650,651,653,657,658,659,660,667,668,672,675,
676,677,678,685,687,697,698,699,700,701,704,705,707,709,713,715,719,721,722,
723,724,728,729,731,732,733,735,736,737,739,740,743,744,745,747,748,751,752,
753,754,756,757,758,759,760,761,764,767,770,771,775,776,777,778,781,782,786,
788,793,794,795,796,797,798,799,800,818,825,829,831,850,853,855,859,875,886,
888,892,893,895,900,901,909,910,912,921,923,932,934,935,937,938,942,949,950,
957,958,960,963,967,971,973,976,977,979,980,981,982,985,986,989,991,994,997,
999,1000,1002,1026,1033,1034,1038,1047,1051,1053,1056,1068,1069,1073,1091,
1102,1111,1117,1124,1126,1128,1132,1141,1144,1145,1148,1199,1213,1216,1229,
1230,1243,1268,1331],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,21,23,26,27,
28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,
55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,83,
84,85,91,93,96,99,105,109,110,111,112,113,114,115,116,117,118,119,120,121,123,
124,125,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,
146,148,149,150,152,153,154,155,156,157,158,159,160,162,163,164,165,166,167,
169,170,171,172,173,174,175,176,179,180,181,182,183,184,185,186,187,188,189,
190,191,192,193,194,195,197,198,200,201,202,203,204,205,206,207,208,209,210,
211,212,213,214,215,216,219,220,221,222,223,225,226,227,228,230,231,232,233,
234,235,236,237,238,248,254,255,258,263,264,265,266,267,272,282,283,285,293,
294,295,296,297,298,299,300,301,302,304,305,306,308,309,310,311,313,314,315,
316,317,320,321,323,325,327,328,329,330,333,334,335,336,337,338,339,340,341,
342,345,346,348,350,351,354,355,356,357,358,359,360,362,363,364,366,367,368,
369,370,372,373,375,377,378,379,381,382,383,384,385,386,387,388,390,391,395,
396,397,398,399,400,401,404,405,406,407,408,409,410,413,414,415,417,418,419,
421,422,425,426,427,433,434,436,438,440,442,445,448,449,450,451,452,453,459,
460,461,462,465,466,467,468,469,470,471,472,473,474,475,476,477,478,479,483,
485,486,487,488,489,490,491,495,496,497,498,499,500,501,502,503,504,505,516,
522,530,531,532,543,544,547,552,564,565,566,571,575,576,578,580,594,596,597,
603,605,606,607,608,610,611,614,615,616,617,620,622,624,625,626,627,629,633,
634,637,638,639,640,643,644,645,647,648,649,654,655,661,664,669,670,671,672,
673,676,677,679,680,684,690,693,694,695,696,702,703,707,708,711,718,720,721,
725,726,727,728,729,730,731,733,735,737,738,739,740,742,743,745,747,748,749,
750,753,754,756,757,758,759,762,763,765,766,769,772,773,774,779,780,783,784,
785,787,793,794,795,796,797,798,799,800,816,826,829,830,851,852,854,858,874,
885,889,890,891,897,898,899,914,915,917,919,924,931,935,936,937,938,946,953,
955,956,959,961,962,968,970,972,975,978,979,980,981,982,983,984,988,990,995,
996,998,1001,1002,1025,1035,1036,1040,1048,1052,1054,1055,1062,1070,1073,1090,
1103,1111,1113,1122,1127,1129,1134,1142,1143,1146,1147,1200,1212,1215,1227,
1228,1244,1269,1332],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,21,23,26,27,
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,
54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,79,80,84,
85,93,96,99,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,124,
125,126,127,128,129,130,131,132,133,134,135,144,145,146,151,152,153,154,155,
156,157,158,159,160,161,162,163,164,165,167,168,169,170,172,173,174,175,176,
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,
215,216,217,218,219,220,221,222,223,224,225,227,229,232,233,234,248,253,258,
263,267,272,285,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,
309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,328,329,330,
331,332,333,334,335,336,337,339,340,342,343,344,345,347,348,349,350,351,352,
353,354,355,356,361,362,363,364,365,367,368,369,370,372,373,374,375,376,377,
378,379,380,381,382,383,384,389,391,392,403,414,415,416,423,428,429,431,432,
433,434,435,442,443,444,445,446,447,448,449,450,464,465,466,467,468,481,482,
483,484,493,494,495,504,516,520,530,532,543,552,564,571,594,595,602,603,604,
605,606,607,612,615,616,617,618,619,620,621,622,623,624,625,626,627,628,635,
636,637,646,647,648,649,650,651,652,653,654,655,656,657,674,677,681,682,683,
684,685,686,692,715,716,717,718,721,728,729,734,741,746,755,769,770,772,773,
775,776,778,779,801,802,815,816,823,826,840,845,851,858,885,886,888,889,923,
924,929,930,933,938,939,944,947,950,951,952,953,958,959,960,961,965,966,987,
1022,1025,1040,1048,1075,1089,1104,1115,1116,1126,1127,1130,1131,1174,1177,
1215,1245,1266,1275,1283,1333],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,21,
23,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,
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,
79,80,83,90,94,96,98,107,108,109,110,111,112,113,114,115,116,117,118,119,120,
121,124,125,126,127,128,129,130,131,132,133,134,135,144,145,146,151,152,153,
154,155,156,157,158,159,160,161,162,163,164,165,167,168,169,170,172,173,174,
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,
213,214,215,216,217,218,219,220,221,222,223,224,225,227,229,232,233,234,249,
254,260,264,271,276,284,294,295,296,297,298,299,300,301,302,303,304,305,306,
307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,328,
329,330,331,332,333,334,335,336,337,339,340,342,343,344,345,347,348,349,350,
351,352,353,354,355,356,361,362,363,364,365,367,368,369,370,372,373,374,375,
376,377,378,379,380,381,382,383,384,389,391,392,403,414,415,416,423,428,429,
431,432,433,434,435,442,443,444,445,446,447,448,449,450,464,465,466,467,468,
481,482,483,484,493,494,495,504,517,521,529,533,542,558,565,572,594,595,602,
603,604,605,606,607,612,615,616,617,618,619,620,621,622,623,624,625,626,627,
628,635,636,637,646,647,648,649,650,651,652,653,654,655,656,657,674,677,681,
682,683,684,685,686,692,715,716,717,718,721,728,729,734,741,746,755,769,770,
772,773,775,776,778,779,801,802,817,818,821,825,841,843,853,859,885,886,888,
889,923,924,929,930,933,938,939,944,947,950,951,952,953,958,959,960,961,965,
966,987,1021,1026,1038,1047,1074,1087,1104,1115,1116,1126,1127,1130,1131,1175,
1176,1216,1245,1267,1280,1284,1334],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,
18,21,23,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,
50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,
79,83,90,98,99,102,109,110,111,112,113,114,115,116,117,118,119,120,121,123,
124,125,126,128,129,130,131,132,133,134,135,136,138,139,141,142,144,145,146,
150,151,152,153,154,155,156,157,158,159,160,161,163,164,165,166,167,169,171,
172,173,174,175,176,177,178,180,181,182,183,184,185,186,187,188,190,191,192,
193,194,195,196,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,
213,214,215,216,217,218,220,221,222,223,224,225,226,227,229,230,249,254,260,
264,271,276,289,294,295,296,297,298,299,300,301,302,303,304,305,307,308,309,
310,311,313,314,315,316,317,320,321,323,327,328,329,330,333,334,335,336,337,
338,339,340,341,343,344,345,348,349,351,354,355,356,357,360,361,364,365,366,
367,368,369,370,372,373,375,377,378,379,380,382,383,384,385,388,389,391,392,
397,398,403,404,406,409,410,413,414,415,416,418,421,423,426,428,429,432,435,
436,438,439,441,442,443,444,445,446,447,448,449,451,452,453,454,456,458,459,
460,464,469,470,471,475,478,479,481,482,483,484,488,490,491,493,494,517,521,
542,547,548,558,562,594,601,602,605,606,607,611,612,615,616,618,620,622,624,
625,626,627,637,639,643,645,646,647,648,650,651,652,653,656,657,658,659,661,
662,663,669,670,671,672,674,677,679,681,682,684,686,691,693,694,695,696,703,
706,709,712,715,716,717,720,731,734,737,739,741,745,746,753,754,755,764,767,
768,786,788,789,817,818,821,825,841,843,848,885,889,891,896,916,918,919,921,
922,923,929,931,933,935,944,946,950,951,952,954,956,965,968,971,973,974,1021,
1038,1039,1071,1074,1078,1106,1113,1115,1123,1132,1133,1135,1175,1176,1186,
1250,1277,1280,1281,1335],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,21,23,
26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,
53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,78,79,84,85,
98,99,102,107,108,111,112,113,114,115,116,117,118,119,120,121,122,124,125,126,
127,128,130,131,132,133,134,135,137,139,140,141,143,144,145,146,149,151,152,
153,154,155,156,157,158,159,160,161,162,164,166,167,168,169,170,171,172,173,
174,175,176,177,178,179,180,182,183,185,188,189,190,191,192,193,194,195,196,
197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,
216,217,218,219,220,222,223,224,225,227,228,229,231,248,253,258,263,267,272,
289,294,295,296,297,298,299,300,301,302,303,305,306,307,308,309,310,311,312,
315,317,318,319,320,321,322,324,329,330,331,332,334,335,336,338,339,340,341,
342,343,344,346,347,348,349,350,352,353,358,359,361,362,363,364,365,369,370,
371,372,373,374,376,377,379,380,381,382,384,386,389,390,391,392,399,400,403,
405,406,408,410,412,414,415,416,417,419,423,425,428,429,432,433,434,436,437,
440,441,444,445,446,447,448,449,450,451,453,454,455,456,457,458,461,464,472,
473,474,476,477,480,481,482,483,484,485,486,487,493,494,516,520,537,538,543,
552,561,595,600,602,603,604,605,608,612,616,617,618,619,621,622,623,624,628,
636,640,641,644,646,647,648,649,651,652,654,655,656,658,659,660,665,666,668,
669,670,674,676,677,682,683,685,688,692,697,698,699,700,701,705,706,708,714,
716,717,718,719,733,734,735,740,741,743,746,747,748,755,765,766,768,785,787,
789,815,816,823,826,840,845,849,886,888,893,894,911,913,919,920,921,924,930,
932,933,937,942,947,948,951,952,953,957,966,967,970,972,974,1022,1040,1042,
1072,1075,1081,1105,1116,1117,1125,1133,1134,1136,1174,1177,1185,1251,1275,
1279,1282,1336],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,23,26,27,28,
29,30,31,32,33,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,
58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,79,80,83,90,96,100,102,
106,109,110,112,113,114,115,116,117,118,119,120,121,122,123,124,127,128,129,
130,131,132,133,134,135,138,139,140,141,142,144,145,147,152,153,154,155,156,
157,158,159,161,162,163,164,165,166,167,168,169,170,171,172,174,175,176,178,
179,180,181,183,184,185,186,187,188,190,191,192,193,194,195,198,200,201,202,
203,204,205,207,208,209,210,211,212,213,214,215,220,221,222,223,227,229,232,
233,234,247,249,254,260,264,271,276,287,292,294,295,296,297,298,299,300,302,
304,305,308,309,310,311,313,314,315,316,317,323,324,326,327,328,329,330,331,
332,333,334,335,336,337,338,339,340,345,347,351,354,355,356,360,362,364,366,
367,368,369,370,371,372,373,374,375,378,379,380,381,382,383,384,387,389,402,
409,410,411,412,413,420,422,423,424,432,433,434,437,439,440,441,444,445,448,
450,454,456,458,459,463,465,466,467,468,469,470,471,479,480,487,489,490,491,
492,493,495,504,517,521,546,557,562,565,572,594,600,601,602,603,605,606,607,
609,613,615,616,619,620,624,625,626,627,637,641,642,643,648,649,652,654,658,
659,661,663,665,666,667,668,673,674,675,677,689,690,691,692,711,712,713,714,
717,718,721,728,729,732,736,739,744,751,752,769,771,772,773,777,779,781,782,
792,814,817,818,821,825,841,843,863,883,885,889,906,916,917,920,921,922,924,
925,926,934,938,941,943,945,947,948,949,959,961,964,976,977,1021,1037,1047,
1071,1076,1087,1106,1114,1119,1121,1127,1128,1136,1172,1175,1176,1193,1241,
1278,1281,1284,1337],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,23,26,
27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,
55,56,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,79,80,84,85,96,
100,102,105,107,108,111,113,114,115,116,117,118,119,120,121,122,123,125,127,
128,129,130,131,132,133,134,135,138,139,140,141,143,144,145,148,152,153,154,
155,156,157,159,160,161,162,163,164,165,166,167,168,169,170,171,173,174,176,
177,178,179,180,181,183,184,189,190,191,192,193,194,195,196,197,198,200,201,
202,203,204,205,206,207,208,210,211,212,213,214,215,216,217,218,219,223,225,
227,232,233,234,246,248,253,258,263,267,272,287,293,294,295,296,297,298,299,
301,302,306,307,308,309,310,311,312,318,319,320,321,322,323,324,325,328,329,
330,331,332,333,334,335,336,341,342,343,344,345,346,347,350,352,353,359,362,
363,364,365,366,367,369,371,372,373,374,375,376,377,380,381,382,383,384,387,
391,401,404,405,406,407,408,420,422,423,427,432,435,436,437,439,440,441,442,
443,444,446,447,451,453,459,462,465,466,467,468,472,473,474,475,476,486,487,
489,491,492,493,495,504,516,520,541,551,561,564,571,595,600,601,602,603,604,
605,606,610,614,617,618,619,620,621,622,623,628,636,638,639,640,650,651,656,
657,661,662,663,664,666,668,669,670,673,674,675,677,686,687,688,689,711,712,
713,714,715,716,721,728,729,730,738,740,742,749,750,770,774,775,776,778,780,
783,784,790,813,815,816,823,826,840,845,864,884,886,888,907,911,912,919,920,
922,923,927,928,936,938,940,943,944,945,954,955,958,960,969,975,978,1022,1041,
1048,1072,1079,1089,1105,1112,1118,1121,1126,1129,1135,1173,1174,1177,1194,
1242,1276,1282,1283,1338],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,23,26,
27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,
54,55,56,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,76,78,79,83,90,93,94,
102,105,107,108,109,110,111,113,114,115,116,117,118,119,120,121,123,125,127,
128,131,132,133,134,135,137,140,141,143,148,149,152,153,154,155,156,157,158,
159,160,161,162,163,164,167,168,169,170,171,173,176,177,178,179,189,190,191,
192,193,194,195,196,197,198,200,201,202,203,204,205,206,207,208,210,211,212,
213,214,215,216,217,218,219,223,225,227,228,231,264,271,276,288,293,294,295,
296,297,298,299,301,302,306,307,308,309,310,311,312,313,314,315,316,317,318,
319,320,321,322,323,324,325,328,329,330,331,332,333,334,335,336,341,342,343,
344,345,346,347,350,352,353,358,359,362,363,364,365,366,372,373,374,375,376,
377,378,379,380,381,384,386,387,390,391,395,396,399,400,401,404,405,406,407,
408,417,419,422,425,427,431,439,440,441,442,443,444,454,455,456,457,458,459,
461,462,472,473,474,475,476,477,485,486,487,489,517,521,522,529,533,562,594,
595,596,597,601,602,603,604,608,610,614,617,618,619,620,621,622,623,624,625,
626,628,629,633,634,635,636,637,638,639,640,644,658,659,660,661,662,663,664,
673,676,677,686,687,688,689,698,699,700,701,711,712,719,725,726,727,730,733,
735,738,740,742,743,747,748,749,750,762,763,825,841,843,868,884,886,888,889,
898,899,921,922,927,928,932,936,937,939,942,945,954,955,957,962,967,969,1021,
1026,1032,1058,1071,1103,1104,1106,1107,1108,1112,1117,1176,1187,1237,1267,
1271,1281,1339],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,23,26,27,28,29,30,
31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,
59,60,62,63,64,65,66,67,68,70,72,73,74,75,76,77,79,84,85,93,94,102,106,107,
108,109,110,112,113,114,115,116,117,118,119,120,121,122,124,129,130,131,132,
133,134,135,136,138,139,142,147,150,152,153,154,155,156,157,158,159,160,163,
164,165,166,167,168,169,172,174,175,180,181,183,184,185,186,187,188,190,191,
192,193,194,195,198,200,201,202,203,204,205,207,208,209,210,211,212,213,214,
215,220,221,222,223,226,227,229,230,263,267,272,288,292,294,295,296,297,298,
299,300,302,304,305,308,309,310,311,312,313,314,315,316,317,318,319,320,321,
323,324,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,345,347,
351,354,355,356,357,360,367,368,369,370,371,372,373,374,375,376,377,378,379,
382,383,384,385,387,388,389,393,394,397,398,402,409,410,411,412,413,418,420,
421,424,426,431,432,433,434,436,437,438,439,440,441,451,452,453,460,463,469,
470,471,478,479,480,488,490,491,492,516,520,523,530,532,561,594,595,598,599,
600,605,606,607,609,611,613,615,616,619,620,621,622,623,624,625,626,627,630,
631,632,635,636,637,641,642,643,645,665,666,667,668,669,670,671,672,675,677,
679,689,690,691,692,694,695,696,713,714,720,722,723,724,731,732,736,737,739,
744,745,751,752,753,754,760,761,826,840,845,866,883,885,888,889,900,901,919,
920,925,926,931,934,935,939,943,946,948,949,956,963,964,968,1022,1025,1030,
1057,1072,1102,1104,1105,1109,1110,1113,1114,1177,1188,1238,1266,1270,1282,
1340],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,23,26,27,28,29,30,31,32,33,
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,
61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,78,79,83,84,85,91,93,94,102,
105,106,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,
126,127,128,129,130,131,132,133,134,135,137,138,139,140,141,142,143,144,145,
146,147,148,149,151,152,153,154,155,156,157,158,159,163,164,165,166,167,168,
169,170,171,172,173,174,175,176,177,180,181,182,183,184,185,186,187,188,189,
190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,
209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,227,228,
229,231,263,264,265,266,267,268,271,272,282,283,288,292,293,294,295,296,297,
298,299,300,301,302,303,304,305,306,307,308,309,310,311,313,314,315,316,317,
323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,
342,343,344,345,346,347,348,349,350,351,354,355,356,358,359,360,361,362,363,
364,365,366,367,368,369,370,371,372,373,374,375,378,379,382,383,384,386,387,
389,390,391,392,395,396,399,400,401,402,403,404,405,406,407,408,409,410,411,
412,413,414,415,416,417,419,420,422,423,424,425,427,428,429,430,432,433,434,
435,437,439,440,441,442,443,444,446,447,448,449,461,462,463,464,469,470,471,
472,473,474,475,476,477,479,480,481,482,483,484,485,486,487,489,490,491,492,
493,494,516,522,523,530,531,532,533,534,561,562,563,576,578,579,582,594,596,
597,600,605,606,607,608,609,610,612,613,614,615,616,617,618,619,620,624,625,
626,627,629,633,634,637,638,639,640,641,642,643,644,646,647,650,651,652,653,
654,655,656,657,662,663,664,665,666,667,668,673,674,675,676,677,678,681,682,
683,684,685,686,687,688,689,690,691,692,697,704,705,706,707,708,709,710,713,
714,715,716,725,726,727,730,732,733,734,735,736,738,739,740,741,742,743,744,
746,747,748,749,750,751,752,755,762,763,790,791,792,826,829,830,840,866,867,
868,873,883,885,887,889,892,893,894,895,896,897,898,899,902,903,906,907,908,
909,910,911,912,913,920,923,925,926,929,933,934,936,937,940,943,944,948,949,
950,951,962,964,965,966,969,992,993,1025,1035,1036,1045,1054,1055,1056,1057,
1059,1061,1072,1090,1103,1114,1115,1118,1120,1124,1125,1137,1138,1188,1192,
1214,1219,1239,1269,1341],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,23,26,
27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,
54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,83,
84,90,91,93,94,102,105,106,107,108,111,112,113,114,115,116,117,118,119,120,
121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,138,139,140,
141,142,143,144,145,146,147,148,150,151,152,153,154,155,156,157,159,160,161,
162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,182,
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,
223,224,225,226,227,229,230,263,264,265,266,267,268,271,276,281,283,288,292,
293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,
312,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,
336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,357,
359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,374,375,376,377,
380,381,384,385,387,388,389,391,392,393,394,397,398,401,402,403,404,405,406,
407,408,409,410,411,412,413,414,415,416,418,420,421,422,423,424,426,427,428,
429,430,432,433,434,439,440,441,442,443,444,445,447,448,449,450,459,460,462,
463,464,469,470,471,472,473,474,475,476,478,479,480,481,482,483,484,486,487,
488,489,490,491,492,493,494,517,522,523,529,531,532,533,534,561,562,563,577,
578,579,582,595,598,599,601,602,603,604,609,610,611,612,613,614,615,616,617,
618,619,620,621,622,623,628,630,631,632,636,638,639,640,641,642,643,645,646,
647,648,649,652,653,654,655,656,657,661,662,663,664,665,666,667,672,673,674,
675,677,680,681,682,683,684,685,686,687,688,689,690,691,692,693,702,703,706,
707,708,709,710,711,712,717,718,722,723,724,730,731,732,734,736,737,738,739,
740,741,742,744,745,746,749,750,751,752,753,754,755,760,761,790,791,792,825,
829,831,841,866,867,868,873,884,886,887,888,890,891,894,895,896,897,900,901,
904,905,906,907,908,914,915,916,917,918,922,924,927,928,930,933,934,935,936,
941,945,947,952,953,954,955,963,964,965,966,969,992,993,1026,1033,1034,1046,
1053,1055,1056,1058,1059,1060,1071,1091,1102,1112,1116,1119,1120,1122,1123,
1139,1140,1187,1191,1214,1220,1240,1268,1342],[1,2,3,4,6,7,8,9,10,11,12,13,14,
15,16,17,18,21,23,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,
47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,
74,75,76,77,78,79,80,84,85,94,96,98,106,107,108,111,112,113,114,115,116,117,
118,119,120,121,122,124,125,127,128,129,130,131,132,133,134,135,136,137,138,
139,140,141,142,143,146,147,149,150,152,153,154,155,156,157,158,159,160,161,
162,164,165,166,167,168,169,170,171,172,173,174,176,177,178,179,181,182,184,
185,186,187,189,190,191,192,193,194,195,196,197,198,200,201,202,203,204,205,
206,207,208,209,210,211,212,213,214,215,216,217,218,219,221,223,226,227,228,
229,230,231,232,233,234,235,236,237,238,248,253,258,263,267,272,284,292,294,
295,296,297,298,299,300,301,302,304,306,307,308,309,310,311,312,315,317,318,
319,320,321,322,324,326,327,329,330,331,332,334,335,336,337,338,341,342,343,
344,346,347,349,350,351,352,353,357,358,359,360,362,363,364,365,367,368,369,
371,372,373,374,376,377,379,380,381,383,384,385,386,387,388,389,390,393,394,
397,398,399,400,402,405,406,408,409,410,411,412,413,415,416,417,418,419,420,
421,424,425,426,434,435,437,439,442,443,446,447,449,454,455,456,457,458,460,
461,463,465,466,467,468,469,470,471,472,473,474,476,477,478,479,480,482,485,
486,487,488,490,491,492,495,496,497,498,499,500,501,502,503,504,505,516,520,
523,537,538,564,571,595,598,599,602,603,604,606,608,609,611,613,615,617,618,
619,621,622,623,624,628,630,631,632,636,640,641,642,643,644,645,646,650,651,
653,657,658,659,660,667,668,672,675,676,677,678,685,687,697,698,699,700,701,
704,705,707,709,713,715,719,721,722,723,724,728,729,731,732,733,735,736,737,
739,740,743,744,745,747,748,751,752,753,754,756,757,758,759,760,761,764,767,
770,771,775,776,777,778,781,782,786,788,793,794,795,796,797,798,799,800,815,
816,823,826,840,845,850,886,888,892,893,895,900,901,909,910,912,921,923,932,
934,935,937,938,942,949,950,957,958,960,963,967,971,973,976,977,979,980,981,
982,985,986,989,991,994,997,999,1000,1002,1022,1030,1042,1048,1057,1081,1089,
1102,1111,1117,1124,1126,1128,1132,1141,1144,1145,1148,1174,1177,1210,1223,
1243,1270,1279,1283,1343],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,21,23,
26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,
53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,
80,83,90,93,96,99,105,109,110,111,112,113,114,115,116,117,118,119,120,121,123,
124,125,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,
146,148,149,150,152,153,154,155,156,157,158,159,160,162,163,164,165,166,167,
169,170,171,172,173,174,175,176,179,180,181,182,183,184,185,186,187,188,189,
190,191,192,193,194,195,197,198,200,201,202,203,204,205,206,207,208,209,210,
211,212,213,214,215,216,219,220,221,222,223,225,226,227,228,230,231,232,233,
234,235,236,237,238,249,254,260,264,271,276,285,293,294,295,296,297,298,299,
300,301,302,304,305,306,308,309,310,311,313,314,315,316,317,320,321,323,325,
327,328,329,330,333,334,335,336,337,338,339,340,341,342,345,346,348,350,351,
354,355,356,357,358,359,360,362,363,364,366,367,368,369,370,372,373,375,377,
378,379,381,382,383,384,385,386,387,388,390,391,395,396,397,398,399,400,401,
404,405,406,407,408,409,410,413,414,415,417,418,419,421,422,425,426,427,433,
434,436,438,440,442,445,448,449,450,451,452,453,459,460,461,462,465,466,467,
468,469,470,471,472,473,474,475,476,477,478,479,483,485,486,487,488,489,490,
491,495,496,497,498,499,500,501,502,503,504,505,517,521,522,547,548,565,572,
594,596,597,603,605,606,607,608,610,611,614,615,616,617,620,622,624,625,626,
627,629,633,634,637,638,639,640,643,644,645,647,648,649,654,655,661,664,669,
670,671,672,673,676,677,679,680,684,690,693,694,695,696,702,703,707,708,711,
718,720,721,725,726,727,728,729,730,731,733,735,737,738,739,740,742,743,745,
747,748,749,750,753,754,756,757,758,759,762,763,765,766,769,772,773,774,779,
780,783,784,785,787,793,794,795,796,797,798,799,800,817,818,821,825,841,843,
852,885,889,890,891,897,898,899,914,915,917,919,924,931,935,936,937,938,946,
953,955,956,959,961,962,968,970,972,975,978,979,980,981,982,983,984,988,990,
995,996,998,1001,1002,1021,1032,1039,1047,1058,1078,1087,1103,1111,1113,1122,
1127,1129,1134,1142,1143,1146,1147,1175,1176,1211,1226,1244,1271,1277,1284,
1344],[1,2,3,5,6,7,8,9,10,11,12,13,14,15,16,17,18,22,24,26,27,28,29,30,31,32,
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,
59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,79,80,86,87,88,89,92,95,
97,101,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,124,125,
126,127,128,129,130,131,132,133,134,135,144,145,146,151,152,153,154,155,156,
157,158,159,160,161,162,163,164,165,167,168,169,170,172,173,174,175,176,177,
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,
216,217,218,219,220,221,222,223,224,225,227,229,232,233,234,256,257,259,261,
262,269,270,273,274,275,277,278,286,294,295,296,297,298,299,300,301,302,303,
304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,
323,324,328,329,330,331,332,333,334,335,336,337,339,340,342,343,344,345,347,
348,349,350,351,352,353,354,355,356,361,362,363,364,365,367,368,369,370,372,
373,374,375,376,377,378,379,380,381,382,383,384,389,391,392,403,414,415,416,
423,428,429,431,432,433,434,435,442,443,444,445,446,447,448,449,450,464,465,
466,467,468,481,482,483,484,493,494,495,504,518,519,524,525,526,527,528,553,
554,555,559,560,567,568,569,570,573,594,595,602,603,604,605,606,607,612,615,
616,617,618,619,620,621,622,623,624,625,626,627,628,635,636,637,646,647,648,
649,650,651,652,653,654,655,656,657,674,677,681,682,683,684,685,686,692,715,
716,717,718,721,728,729,734,741,746,755,769,770,772,773,775,776,778,779,801,
802,822,824,827,828,846,856,857,860,861,862,885,886,888,889,923,924,929,930,
933,938,939,944,947,950,951,952,953,958,959,960,961,965,966,987,1027,1028,
1043,1044,1049,1050,1094,1095,1096,1104,1115,1116,1126,1127,1130,1131,1217,
1218,1231,1245,1272,1345],[1,2,3,5,6,7,8,9,10,11,12,13,14,15,16,17,18,22,24,
26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,
53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,
80,86,87,88,95,97,101,106,107,108,111,112,113,114,115,116,117,118,119,120,121,
122,124,125,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,
143,146,147,149,150,152,153,154,155,156,157,158,159,160,161,162,164,165,166,
167,168,169,170,171,172,173,174,176,177,178,179,181,182,184,185,186,187,189,
190,191,192,193,194,195,196,197,198,200,201,202,203,204,205,206,207,208,209,
210,211,212,213,214,215,216,217,218,219,221,223,226,227,228,229,230,231,232,
233,234,235,236,237,238,256,257,261,273,274,275,278,286,292,294,295,296,297,
298,299,300,301,302,304,306,307,308,309,310,311,312,315,317,318,319,320,321,
322,324,326,327,329,330,331,332,334,335,336,337,338,341,342,343,344,346,347,
349,350,351,352,353,357,358,359,360,362,363,364,365,367,368,369,371,372,373,
374,376,377,379,380,381,383,384,385,386,387,388,389,390,393,394,397,398,399,
400,402,405,406,408,409,410,411,412,413,415,416,417,418,419,420,421,424,425,
426,434,435,437,439,442,443,446,447,449,454,455,456,457,458,460,461,463,465,
466,467,468,469,470,471,472,473,474,476,477,478,479,480,482,485,486,487,488,
490,491,492,495,496,497,498,499,500,501,502,503,504,505,514,519,524,525,526,
536,553,554,555,569,570,573,595,598,599,602,603,604,606,608,609,611,613,615,
617,618,619,621,622,623,624,628,630,631,632,636,640,641,642,643,644,645,646,
650,651,653,657,658,659,660,667,668,672,675,676,677,678,685,687,697,698,699,
700,701,704,705,707,709,713,715,719,721,722,723,724,728,729,731,732,733,735,
736,737,739,740,743,744,745,747,748,751,752,753,754,756,757,758,759,760,761,
764,767,770,771,775,776,777,778,781,782,786,788,793,794,795,796,797,798,799,
800,820,824,828,839,844,860,861,862,870,872,886,888,892,893,895,900,901,909,
910,912,921,923,932,934,935,937,938,942,949,950,957,958,960,963,967,971,973,
976,977,979,980,981,982,985,986,989,991,994,997,999,1000,1002,1024,1028,1029,
1043,1049,1080,1082,1084,1086,1093,1102,1111,1117,1124,1126,1128,1132,1141,
1144,1145,1148,1180,1205,1218,1222,1225,1243,1274,1285,1288,1346],[1,2,3,5,6,
7,8,9,10,11,12,13,14,15,16,17,18,22,24,26,27,28,29,30,31,32,33,35,36,37,38,39,
40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,
67,68,69,70,71,72,73,74,75,76,77,78,79,80,87,89,92,95,97,101,105,109,110,111,
112,113,114,115,116,117,118,119,120,121,123,124,125,127,128,129,130,131,132,
133,134,135,136,137,138,139,140,141,142,143,146,148,149,150,152,153,154,155,
156,157,158,159,160,162,163,164,165,166,167,169,170,171,172,173,174,175,176,
179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,197,198,
200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,219,220,
221,222,223,225,226,227,228,230,231,232,233,234,235,236,237,238,257,259,262,
269,270,274,277,286,293,294,295,296,297,298,299,300,301,302,304,305,306,308,
309,310,311,313,314,315,316,317,320,321,323,325,327,328,329,330,333,334,335,
336,337,338,339,340,341,342,345,346,348,350,351,354,355,356,357,358,359,360,
362,363,364,366,367,368,369,370,372,373,375,377,378,379,381,382,383,384,385,
386,387,388,390,391,395,396,397,398,399,400,401,404,405,406,407,408,409,410,
413,414,415,417,418,419,421,422,425,426,427,433,434,436,438,440,442,445,448,
449,450,451,452,453,459,460,461,462,465,466,467,468,469,470,471,472,473,474,
475,476,477,478,479,483,485,486,487,488,489,490,491,495,496,497,498,499,500,
501,502,503,504,505,515,518,524,527,528,535,553,559,560,567,568,573,594,596,
597,603,605,606,607,608,610,611,614,615,616,617,620,622,624,625,626,627,629,
633,634,637,638,639,640,643,644,645,647,648,649,654,655,661,664,669,670,671,
672,673,676,677,679,680,684,690,693,694,695,696,702,703,707,708,711,718,720,
721,725,726,727,728,729,730,731,733,735,737,738,739,740,742,743,745,747,748,
749,750,753,754,756,757,758,759,762,763,765,766,769,772,773,774,779,780,783,
784,785,787,793,794,795,796,797,798,799,800,819,822,827,838,842,856,857,862,
869,871,885,889,890,891,897,898,899,914,915,917,919,924,931,935,936,937,938,
946,953,955,956,959,961,962,968,970,972,975,978,979,980,981,982,983,984,988,
990,995,996,998,1001,1002,1023,1027,1031,1044,1050,1077,1083,1085,1088,1092,
1103,1111,1113,1122,1127,1129,1134,1142,1143,1146,1147,1181,1206,1217,1221,
1224,1244,1273,1286,1287,1347],[1,2,3,4,6,7,10,11,12,13,14,15,16,17,18,19,20,
21,23,26,31,33,36,41,44,45,46,48,49,50,53,54,55,57,58,59,62,63,66,72,74,75,76,
77,80,82,83,91,93,94,96,98,99,100,102,105,114,121,123,135,140,141,163,164,170,
173,180,181,187,188,189,201,205,206,210,211,212,223,230,234,236,237,242,247,
249,252,254,255,264,268,271,279,280,281,284,285,287,288,289,293,308,325,345,
350,356,359,385,436,438,450,465,475,476,489,498,503,522,533,542,546,547,548,
556,557,562,565,574,583,591,679,680,738,779,780,785,794,811,831,832,836,848,
852,853,863,868,878,988,1011,1046,1067,1069,1098,1161,1182,1299,1348],[1,2,3,
4,6,7,9,10,11,12,14,15,16,17,18,19,20,21,23,27,28,30,32,38,41,44,45,47,49,51,
54,55,56,57,58,59,61,62,67,69,71,73,76,78,80,82,84,91,93,94,96,98,99,100,102,
106,113,120,122,134,138,139,161,162,165,168,169,172,185,186,196,197,207,208,
213,214,215,223,228,232,235,237,242,246,248,251,252,253,263,266,267,279,280,
282,284,285,287,288,289,292,309,322,326,347,351,360,386,435,454,455,466,479,
480,492,499,502,523,532,537,538,541,543,550,551,561,564,575,583,591,678,701,
736,777,778,786,797,812,830,833,834,849,850,851,864,866,878,991,1012,1045,
1064,1070,1097,1160,1183,1300,1349],[1,2,3,5,7,8,13,14,15,17,18,19,22,24,26,
31,43,46,57,58,60,63,66,74,75,77,78,80,82,87,89,92,101,105,109,137,149,158,
170,180,184,187,201,222,230,234,235,238,242,257,259,262,270,314,325,354,385,
400,436,450,452,465,496,500,515,518,535,560,588,590,596,680,696,759,765,769,
780,811,819,822,842,869,879,881,984,1011,1023,1077,1161,1206,1298,1350],[1,2,
3,5,6,8,9,11,14,17,18,19,22,24,27,28,38,40,54,55,60,61,69,71,73,77,78,80,82,
86,87,88,101,106,107,136,150,160,161,165,179,197,208,218,228,232,236,238,242,
256,257,261,275,318,326,352,386,398,435,454,457,466,497,501,514,519,536,555,
588,589,598,678,699,758,767,770,777,812,820,824,844,870,879,880,986,1012,1024,
1080,1160,1205,1297,1351],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,23,24,26,
27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,
55,56,58,62,64,65,66,67,68,69,72,73,76,78,79,81,83,84,85,87,89,90,91,92,93,95,
105,109,110,111,113,114,115,116,117,118,119,120,121,123,125,127,131,132,133,
134,135,137,140,141,143,148,149,153,155,158,159,163,164,170,171,173,189,190,
191,192,193,194,197,198,200,201,202,203,204,205,206,207,208,210,211,212,213,
214,215,216,219,223,225,227,228,231,263,264,265,266,267,269,270,271,272,274,
276,277,282,283,293,294,295,296,297,298,299,301,302,306,308,309,310,311,313,
314,315,316,317,323,325,328,329,333,335,341,342,345,346,350,358,359,362,363,
366,372,375,378,379,384,386,387,390,391,395,396,399,400,401,404,405,406,407,
408,417,419,422,425,427,461,462,472,473,474,475,476,477,485,486,487,489,507,
508,515,516,517,518,521,522,524,527,528,530,531,532,535,576,578,594,596,597,
608,610,614,617,620,624,625,626,629,633,634,637,638,639,640,644,673,676,677,
725,726,727,730,733,735,738,740,742,743,747,748,749,750,762,763,825,826,827,
829,830,838,841,842,843,871,889,898,899,936,937,962,1003,1005,1006,1021,1023,
1025,1027,1031,1032,1035,1036,1054,1055,1058,1083,1090,1103,1176,1181,1253,
1255,1269,1271,1273,1352],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,23,24,26,
27,28,29,30,31,32,33,34,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,
56,57,58,62,64,65,66,67,68,72,73,74,76,77,79,81,83,84,85,86,87,88,90,91,94,95,
106,107,108,112,113,114,115,116,117,118,119,120,121,122,124,129,131,132,133,
134,135,136,138,139,142,147,150,152,154,160,165,166,167,168,169,172,185,186,
187,190,191,192,193,194,198,200,201,202,203,204,205,207,208,209,210,211,212,
213,214,215,221,223,226,227,229,230,263,264,265,267,268,271,272,273,274,275,
276,278,281,283,292,294,295,296,297,298,299,300,302,304,308,309,310,311,312,
318,319,320,321,324,326,327,330,331,332,334,337,338,347,351,357,360,367,368,
371,373,374,376,377,384,385,387,388,389,393,394,397,398,402,409,410,411,412,
413,418,420,421,424,426,460,463,469,470,471,478,479,480,488,490,491,492,506,
508,514,516,517,519,520,523,524,525,526,529,533,534,536,577,579,595,598,599,
609,611,613,615,619,621,622,623,630,631,632,636,641,642,643,645,672,675,677,
722,723,724,731,732,736,737,739,744,745,751,752,753,754,760,761,825,826,828,
829,831,839,840,844,845,872,888,900,901,934,935,963,1004,1005,1007,1022,1024,
1026,1028,1029,1030,1033,1034,1053,1056,1057,1082,1091,1102,1177,1180,1252,
1254,1268,1270,1274,1353],[1,2,3,4,5,6,7,8,9,10,11,12,13,15,16,17,23,24,26,27,
28,29,30,31,32,33,34,35,36,39,40,41,42,43,44,45,47,48,49,50,51,52,53,55,56,58,
62,64,66,67,68,72,73,76,81,83,84,85,86,87,88,89,90,92,93,94,95,107,108,109,
110,113,114,115,116,117,118,119,120,121,131,132,133,134,135,152,153,154,155,
158,159,160,163,164,167,168,169,190,191,192,193,194,198,200,201,202,203,205,
207,208,210,211,212,213,214,215,223,263,264,267,269,270,271,272,273,274,275,
276,277,278,294,295,296,297,298,299,302,308,309,310,311,312,313,314,315,316,
317,318,319,320,321,323,324,328,329,330,331,332,333,334,335,345,347,372,373,
374,375,376,377,378,379,384,431,506,507,508,516,517,518,519,520,521,524,525,
526,527,528,529,530,532,533,594,595,619,620,621,622,623,624,625,626,635,636,
637,677,825,826,827,828,840,841,843,845,846,888,889,939,1005,1006,1007,1021,
1022,1025,1026,1027,1028,1095,1104,1176,1177,1252,1253,1266,1267,1272,1354],[
1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,22,23,24,26,27,28,29,30,31,
32,33,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,
62,63,64,65,66,67,68,70,72,73,74,75,76,79,81,83,84,85,87,89,90,92,93,94,95,96,
97,98,99,100,101,102,106,109,110,112,113,114,115,116,117,118,119,120,121,122,
124,129,130,131,132,133,134,135,138,139,142,147,152,153,154,155,156,157,158,
159,163,164,165,166,167,168,169,172,174,175,180,181,183,184,185,186,187,188,
190,191,192,193,194,195,198,200,201,202,203,204,205,207,208,209,210,211,212,
213,214,215,220,221,222,223,227,229,239,241,246,247,248,249,253,254,257,258,
259,260,262,263,264,267,269,270,271,272,274,276,277,279,280,284,285,286,287,
288,289,292,294,295,296,297,298,299,300,302,304,305,308,309,310,311,313,314,
315,316,317,323,324,326,327,328,329,330,331,332,333,334,335,336,337,338,339,
340,345,347,351,354,355,356,360,367,368,369,370,371,372,373,374,375,378,379,
382,383,384,387,389,402,409,410,411,412,413,420,424,432,433,434,437,439,440,
441,463,469,470,471,479,480,490,491,492,507,508,509,516,517,518,521,523,524,
527,528,530,532,537,538,541,543,546,551,552,553,557,559,560,561,564,567,568,
571,573,583,594,600,605,606,607,609,613,615,616,619,620,624,625,626,627,637,
641,642,643,665,666,667,668,675,677,689,690,691,692,713,714,732,736,739,744,
751,752,804,806,808,809,813,814,815,816,817,818,821,822,825,826,827,833,834,
840,841,843,849,850,851,856,857,858,862,864,866,883,885,889,920,925,926,934,
943,948,949,964,1005,1006,1008,1021,1025,1027,1037,1040,1041,1042,1044,1048,
1050,1057,1072,1075,1076,1079,1097,1114,1151,1153,1154,1155,1172,1175,1176,
1178,1185,1188,1194,1197,1210,1215,1217,1253,1260,1278,1292,1306,1307,1309,
1355],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,22,23,24,26,27,28,
29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,
58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,76,79,81,83,84,85,86,87,88,90,93,
94,95,96,97,98,99,100,101,102,105,107,108,111,113,114,115,116,117,118,119,120,
121,123,125,127,128,131,132,133,134,135,140,141,143,148,152,153,154,155,156,
157,159,160,161,162,163,164,167,168,169,170,171,173,176,177,178,179,189,190,
191,192,193,194,195,196,197,198,200,201,202,203,204,205,206,207,208,210,211,
212,213,214,215,216,217,218,219,223,225,227,239,241,246,247,248,249,253,254,
256,257,258,260,261,263,264,267,271,272,273,274,275,276,278,279,280,284,285,
286,287,288,289,293,294,295,296,297,298,299,301,302,306,307,308,309,310,311,
312,318,319,320,321,322,323,324,325,328,329,330,331,332,333,334,335,336,341,
342,343,344,345,346,347,350,352,353,359,362,363,364,365,366,372,373,374,375,
376,377,380,381,384,387,391,401,404,405,406,407,408,422,427,439,440,441,442,
443,444,459,462,472,473,474,475,476,486,487,489,506,508,509,516,517,519,520,
522,524,525,526,529,533,541,542,546,547,548,551,553,554,555,557,558,562,565,
569,570,572,573,583,595,601,602,603,604,610,614,617,618,619,620,621,622,623,
628,636,638,639,640,661,662,663,664,673,677,686,687,688,689,711,712,730,738,
740,742,749,750,803,805,807,809,813,814,815,816,817,818,823,824,825,826,828,
832,836,840,841,845,848,852,853,859,860,861,862,863,868,884,886,888,922,927,
928,936,945,954,955,969,1005,1007,1009,1022,1026,1028,1037,1038,1039,1041,
1043,1047,1049,1058,1071,1074,1076,1079,1098,1112,1151,1152,1154,1155,1173,
1174,1177,1179,1186,1187,1193,1198,1211,1216,1218,1252,1260,1276,1291,1305,
1308,1310,1356],[1,3,4,5,8,14,18,19,21,22,24,25,60,81,82,85,87,90,91,95,97,
101,239,242,243,250,257,258,260,286,508,511,588,591,809,879,1014,1015,1168,
1357],[1,2,3,4,6,7,8,9,10,11,12,16,20,25,26,28,29,30,34,36,39,40,41,44,47,49,
50,72,84,85,103,105,107,108,114,115,118,119,120,123,159,171,205,206,245,246,
293,310,312,323,346,366,512,516,520,585,587,595,601,614,813,876,884,1022,1173,
1233,1296,1316,1358],[1,2,3,4,6,7,8,10,12,13,15,16,20,25,27,29,31,32,33,35,41,
42,43,45,48,49,51,67,83,90,103,106,109,110,113,115,116,117,121,122,166,167,
185,207,245,247,292,311,313,324,327,371,512,517,521,584,586,594,600,613,814,
877,883,1021,1172,1232,1295,1315,1359],[1,2,3,4,7,8,13,14,15,17,18,21,23,25,
26,31,43,46,57,58,60,63,66,74,75,77,78,80,83,90,91,93,96,99,103,105,109,137,
149,158,170,180,184,187,201,222,230,234,235,238,243,250,254,255,260,264,268,
281,285,314,325,354,385,400,436,450,452,465,496,500,513,521,522,545,547,565,
581,585,596,680,696,759,765,769,780,821,831,843,852,876,984,1015,1016,1032,
1046,1051,1066,1078,1087,1162,1209,1226,1322,1360],[1,2,3,4,6,8,9,11,14,17,18,
21,23,25,27,28,38,40,54,55,60,61,69,71,73,77,78,80,84,85,91,94,96,98,103,106,
107,136,150,160,161,165,179,197,208,218,228,232,236,238,243,250,251,253,258,
263,266,282,284,318,326,352,386,398,435,454,457,466,497,501,513,520,523,537,
540,564,580,584,598,678,699,758,767,770,777,823,830,845,850,877,986,1014,1017,
1030,1045,1052,1065,1081,1089,1163,1208,1223,1324,1361],[1,2,3,4,6,8,9,11,14,
17,18,21,23,25,27,28,38,40,54,55,60,61,69,71,73,77,78,80,84,90,91,94,96,98,
103,106,107,136,150,160,161,165,179,197,208,218,228,232,236,238,243,250,251,
253,260,263,266,276,281,282,284,318,326,352,386,398,435,454,457,466,497,501,
513,523,529,537,540,558,564,572,574,577,580,581,584,598,678,699,758,767,770,
777,830,850,859,875,877,986,1015,1017,1033,1045,1052,1065,1163,1164,1167,1208,
1229,1362],[1,2,3,4,7,8,13,14,15,17,18,21,23,25,26,31,43,46,57,58,60,63,66,74,
75,77,78,80,83,85,91,93,96,99,103,105,109,137,149,158,170,180,184,187,201,222,
230,234,235,238,243,250,254,255,258,264,268,272,281,282,285,314,325,354,385,
400,436,450,452,465,496,500,513,522,530,545,547,552,565,571,575,576,580,581,
585,596,680,696,759,765,769,780,831,852,858,874,876,984,1014,1016,1035,1046,
1051,1066,1162,1165,1167,1209,1228,1363],[1,2,3,4,6,7,8,10,11,12,13,14,15,16,
17,18,20,21,23,25,26,27,29,31,32,33,36,37,41,42,43,44,45,46,48,49,50,51,52,53,
55,58,59,60,62,63,64,65,66,67,70,72,75,76,79,83,84,85,91,94,99,100,103,106,
112,113,114,115,116,117,121,122,124,130,133,135,147,153,155,156,157,159,163,
164,166,167,174,175,185,188,195,200,201,202,203,204,205,207,209,210,211,212,
220,222,223,227,229,243,246,247,248,249,250,252,253,254,255,258,263,264,265,
267,268,271,272,279,283,292,300,302,305,308,311,323,324,327,328,329,333,335,
336,339,340,345,369,370,371,372,375,387,389,424,432,433,434,439,440,441,513,
516,523,533,534,541,543,544,545,546,547,548,549,551,552,556,557,579,584,609,
613,616,620,665,666,667,689,690,691,692,813,815,816,826,829,833,836,837,840,
877,964,1013,1014,1017,1040,1041,1056,1057,1062,1063,1075,1079,1163,1165,1166,
1197,1202,1323,1364],[1,2,3,4,6,7,8,9,10,11,12,14,15,16,17,18,20,21,23,25,26,
27,28,29,30,32,36,37,38,39,40,41,44,45,47,49,50,51,52,55,56,58,59,60,61,62,64,
65,67,70,71,72,73,76,79,83,84,90,91,93,98,100,103,105,111,113,114,115,118,119,
120,123,125,128,133,134,148,152,154,156,157,159,167,168,169,171,176,177,195,
196,200,202,203,204,205,206,207,208,213,214,215,216,217,218,223,225,227,243,
246,247,248,249,250,251,252,253,254,260,263,264,265,266,267,271,276,280,283,
293,301,302,307,309,310,323,324,330,331,332,334,336,343,344,346,347,364,365,
366,373,374,387,391,427,439,440,441,442,443,444,513,517,522,531,532,537,538,
539,540,541,542,546,549,550,551,557,558,578,585,610,614,618,619,662,663,664,
686,687,688,689,814,817,818,825,829,832,834,835,841,876,969,1013,1015,1016,
1037,1038,1055,1058,1063,1068,1074,1076,1162,1164,1166,1198,1204,1321,1365],[
1,2,3,4,6,7,10,11,12,14,15,16,23,25,26,27,32,36,37,38,41,44,45,46,49,50,51,52,
64,65,67,72,79,83,84,91,93,94,102,103,105,106,111,112,113,114,122,123,124,125,
126,133,147,148,151,185,199,200,202,203,204,205,206,207,209,216,224,225,227,
229,243,263,264,265,266,267,268,271,283,288,292,293,300,301,302,303,387,389,
391,392,424,427,428,429,430,513,522,523,531,532,533,534,561,562,563,578,579,
582,584,585,609,610,612,710,829,866,867,868,873,876,877,887,1016,1017,1055,
1056,1059,1162,1163,1214,1294,1366],[1,2,3,4,6,7,8,10,12,13,15,16,23,25,27,29,
31,32,33,35,41,42,43,45,48,49,51,67,84,85,93,94,102,103,106,109,110,113,115,
116,117,121,122,166,167,185,207,243,263,267,272,288,292,311,313,324,327,371,
513,516,523,530,532,561,584,586,594,600,613,826,840,866,877,883,1017,1025,
1057,1072,1163,1188,1232,1295,1318,1367],[1,2,3,4,6,7,8,9,10,11,12,16,23,25,
26,28,29,30,34,36,39,40,41,44,47,49,50,72,83,90,93,94,102,103,105,107,108,114,
115,118,119,120,123,159,171,205,206,243,264,271,276,288,293,310,312,323,346,
366,513,517,522,529,533,562,585,587,595,601,614,825,841,868,876,884,1016,1026,
1058,1071,1162,1187,1233,1296,1317,1368],[1,2,3,4,5,7,8,13,15,17,19,22,23,24,
26,31,43,58,66,78,81,82,83,85,87,89,90,92,93,95,104,105,109,137,149,158,170,
201,240,259,264,270,272,282,290,314,325,400,507,508,515,518,521,522,527,530,
535,576,588,590,596,811,819,842,843,1003,1006,1011,1020,1023,1031,1032,1035,
1100,1157,1234,1255,1298,1369],[1,2,3,4,5,6,8,9,11,17,19,22,23,24,27,28,40,55,
73,77,81,82,84,85,86,87,88,90,94,95,104,106,107,136,150,160,165,208,240,261,
263,275,276,281,290,318,326,398,506,508,514,519,520,523,525,529,536,577,588,
589,598,812,820,844,845,1004,1007,1012,1020,1024,1029,1030,1033,1101,1156,
1235,1254,1297,1370],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,23,26,
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,
79,80,83,84,85,91,93,94,96,98,99,100,102,105,106,107,108,109,110,111,112,113,
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,
228,229,230,231,232,233,234,235,236,237,238,246,247,248,249,250,251,252,253,
254,255,258,263,264,265,266,267,268,271,272,279,280,282,283,284,285,287,288,
289,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,
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,
500,501,502,503,504,505,516,522,523,530,531,532,533,534,537,538,539,540,541,
542,543,544,545,546,547,548,549,550,551,552,556,557,561,562,563,564,565,566,
571,575,576,578,579,580,582,583,594,595,596,597,598,599,600,601,602,603,604,
605,606,607,608,609,610,611,612,613,614,615,616,617,618,619,620,621,622,623,
624,625,626,627,628,629,630,631,632,633,634,635,636,637,638,639,640,641,642,
643,644,645,646,647,648,649,650,651,652,653,654,655,656,657,658,659,660,661,
662,663,664,665,666,667,668,669,670,671,672,673,674,675,676,677,678,679,680,
681,682,683,684,685,686,687,688,689,690,691,692,693,694,695,696,697,698,699,
700,701,702,703,704,705,706,707,708,709,710,711,712,713,714,715,716,717,718,
719,720,721,722,723,724,725,726,727,728,729,730,731,732,733,734,735,736,737,
738,739,740,741,742,743,744,745,746,747,748,749,750,751,752,753,754,755,756,
757,758,759,760,761,762,763,764,765,766,767,768,769,770,771,772,773,774,775,
776,777,778,779,780,781,782,783,784,785,786,787,788,789,790,791,792,793,794,
795,796,797,798,799,800,801,802,813,815,816,826,829,830,832,833,834,835,836,
837,840,847,848,849,850,851,852,853,854,855,858,863,864,865,866,867,868,873,
874,883,884,885,886,887,888,889,890,891,892,893,894,895,896,897,898,899,900,
901,902,903,904,905,906,907,908,909,910,911,912,913,914,915,916,917,918,919,
920,921,922,923,924,925,926,927,928,929,930,931,932,933,934,935,936,937,938,
939,940,941,942,943,944,945,946,947,948,949,950,951,952,953,954,955,956,957,
958,959,960,961,962,963,964,965,966,967,968,969,970,971,972,973,974,975,976,
977,978,979,980,981,982,983,984,985,986,987,988,989,990,991,992,993,994,995,
996,997,998,999,1000,1001,1002,1025,1035,1036,1040,1041,1042,1045,1048,1052,
1054,1055,1056,1057,1059,1061,1062,1063,1064,1065,1068,1070,1072,1073,1075,
1079,1090,1097,1098,1099,1102,1103,1104,1105,1106,1107,1108,1109,1110,1111,
1112,1113,1114,1115,1116,1117,1118,1119,1120,1121,1122,1123,1124,1125,1126,
1127,1128,1129,1130,1131,1132,1133,1134,1135,1136,1137,1138,1139,1140,1141,
1142,1143,1144,1145,1146,1147,1148,1178,1183,1184,1185,1188,1190,1192,1194,
1196,1197,1200,1201,1202,1204,1207,1208,1210,1212,1213,1214,1215,1219,1227,
1228,1237,1238,1239,1240,1241,1242,1243,1244,1245,1246,1247,1248,1249,1250,
1251,1269,1290,1292,1293,1304,1328,1332,1341,1371],[1,2,3,4,6,7,8,9,10,11,12,
13,14,15,16,17,18,20,21,23,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,
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,
69,70,71,72,73,74,75,76,77,78,79,80,83,84,90,91,93,94,96,98,99,100,102,105,
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,
246,247,248,249,250,251,252,253,254,255,260,263,264,265,266,267,268,271,276,
279,280,281,283,284,285,287,288,289,292,293,294,295,296,297,298,299,300,301,
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,
492,493,494,495,496,497,498,499,500,501,502,503,504,505,517,522,523,529,531,
532,533,534,537,538,539,540,541,542,543,544,545,546,547,548,549,550,551,556,
557,558,561,562,563,564,565,566,572,574,577,578,579,581,582,583,594,595,596,
597,598,599,600,601,602,603,604,605,606,607,608,609,610,611,612,613,614,615,
616,617,618,619,620,621,622,623,624,625,626,627,628,629,630,631,632,633,634,
635,636,637,638,639,640,641,642,643,644,645,646,647,648,649,650,651,652,653,
654,655,656,657,658,659,660,661,662,663,664,665,666,667,668,669,670,671,672,
673,674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,689,690,691,
692,693,694,695,696,697,698,699,700,701,702,703,704,705,706,707,708,709,710,
711,712,713,714,715,716,717,718,719,720,721,722,723,724,725,726,727,728,729,
730,731,732,733,734,735,736,737,738,739,740,741,742,743,744,745,746,747,748,
749,750,751,752,753,754,755,756,757,758,759,760,761,762,763,764,765,766,767,
768,769,770,771,772,773,774,775,776,777,778,779,780,781,782,783,784,785,786,
787,788,789,790,791,792,793,794,795,796,797,798,799,800,801,802,814,817,818,
825,829,831,832,833,834,835,836,837,841,847,848,849,850,851,852,853,854,855,
859,863,864,865,866,867,868,873,875,883,884,885,886,887,888,889,890,891,892,
893,894,895,896,897,898,899,900,901,902,903,904,905,906,907,908,909,910,911,
912,913,914,915,916,917,918,919,920,921,922,923,924,925,926,927,928,929,930,
931,932,933,934,935,936,937,938,939,940,941,942,943,944,945,946,947,948,949,
950,951,952,953,954,955,956,957,958,959,960,961,962,963,964,965,966,967,968,
969,970,971,972,973,974,975,976,977,978,979,980,981,982,983,984,985,986,987,
988,989,990,991,992,993,994,995,996,997,998,999,1000,1001,1002,1026,1033,1034,
1037,1038,1039,1046,1047,1051,1053,1055,1056,1058,1059,1060,1062,1063,1066,
1067,1068,1069,1071,1073,1074,1076,1091,1097,1098,1099,1102,1103,1104,1105,
1106,1107,1108,1109,1110,1111,1112,1113,1114,1115,1116,1117,1118,1119,1120,
1121,1122,1123,1124,1125,1126,1127,1128,1129,1130,1131,1132,1133,1134,1135,
1136,1137,1138,1139,1140,1141,1142,1143,1144,1145,1146,1147,1148,1179,1182,
1184,1186,1187,1189,1191,1193,1195,1198,1199,1202,1203,1204,1207,1209,1211,
1212,1213,1214,1216,1220,1229,1230,1237,1238,1239,1240,1241,1242,1243,1244,
1245,1246,1247,1248,1249,1250,1251,1268,1289,1291,1293,1304,1327,1331,1342,
1372],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,23,26,27,28,29,30,31,
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,
58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,83,90,93,
94,96,98,99,100,102,105,106,107,108,109,110,111,112,113,114,115,116,117,118,
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,
233,234,235,236,237,238,247,249,254,260,264,271,276,279,280,284,285,287,288,
289,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,
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,
500,501,502,503,504,505,517,521,522,529,533,542,546,547,548,557,558,562,565,
572,583,594,595,596,597,598,599,600,601,602,603,604,605,606,607,608,609,610,
611,612,613,614,615,616,617,618,619,620,621,622,623,624,625,626,627,628,629,
630,631,632,633,634,635,636,637,638,639,640,641,642,643,644,645,646,647,648,
649,650,651,652,653,654,655,656,657,658,659,660,661,662,663,664,665,666,667,
668,669,670,671,672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,
687,688,689,690,691,692,693,694,695,696,697,698,699,700,701,702,703,704,705,
706,707,708,709,710,711,712,713,714,715,716,717,718,719,720,721,722,723,724,
725,726,727,728,729,730,731,732,733,734,735,736,737,738,739,740,741,742,743,
744,745,746,747,748,749,750,751,752,753,754,755,756,757,758,759,760,761,762,
763,764,765,766,767,768,769,770,771,772,773,774,775,776,777,778,779,780,781,
782,783,784,785,786,787,788,789,790,791,792,793,794,795,796,797,798,799,800,
801,802,814,817,818,821,825,832,836,841,843,848,852,853,859,863,868,883,884,
885,886,887,888,889,890,891,892,893,894,895,896,897,898,899,900,901,902,903,
904,905,906,907,908,909,910,911,912,913,914,915,916,917,918,919,920,921,922,
923,924,925,926,927,928,929,930,931,932,933,934,935,936,937,938,939,940,941,
942,943,944,945,946,947,948,949,950,951,952,953,954,955,956,957,958,959,960,
961,962,963,964,965,966,967,968,969,970,971,972,973,974,975,976,977,978,979,
980,981,982,983,984,985,986,987,988,989,990,991,992,993,994,995,996,997,998,
999,1000,1001,1002,1021,1026,1032,1037,1038,1039,1047,1058,1071,1074,1076,
1078,1087,1098,1102,1103,1104,1105,1106,1107,1108,1109,1110,1111,1112,1113,
1114,1115,1116,1117,1118,1119,1120,1121,1122,1123,1124,1125,1126,1127,1128,
1129,1130,1131,1132,1133,1134,1135,1136,1137,1138,1139,1140,1141,1142,1143,
1144,1145,1146,1147,1148,1172,1175,1176,1179,1186,1187,1193,1198,1211,1216,
1226,1237,1238,1239,1240,1241,1242,1243,1244,1245,1246,1247,1248,1249,1250,
1251,1267,1271,1277,1278,1280,1281,1284,1291,1304,1326,1330,1334,1335,1337,
1339,1344,1373],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,23,26,27,28,
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,
84,85,93,94,96,98,99,100,102,105,106,107,108,109,110,111,112,113,114,115,116,
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,
231,232,233,234,235,236,237,238,246,248,253,258,263,267,272,279,280,284,285,
287,288,289,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,
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,
498,499,500,501,502,503,504,505,516,520,523,530,532,537,538,541,543,551,552,
561,564,571,583,594,595,596,597,598,599,600,601,602,603,604,605,606,607,608,
609,610,611,612,613,614,615,616,617,618,619,620,621,622,623,624,625,626,627,
628,629,630,631,632,633,634,635,636,637,638,639,640,641,642,643,644,645,646,
647,648,649,650,651,652,653,654,655,656,657,658,659,660,661,662,663,664,665,
666,667,668,669,670,671,672,673,674,675,676,677,678,679,680,681,682,683,684,
685,686,687,688,689,690,691,692,693,694,695,696,697,698,699,700,701,702,703,
704,705,706,707,708,709,710,711,712,713,714,715,716,717,718,719,720,721,722,
723,724,725,726,727,728,729,730,731,732,733,734,735,736,737,738,739,740,741,
742,743,744,745,746,747,748,749,750,751,752,753,754,755,756,757,758,759,760,
761,762,763,764,765,766,767,768,769,770,771,772,773,774,775,776,777,778,779,
780,781,782,783,784,785,786,787,788,789,790,791,792,793,794,795,796,797,798,
799,800,801,802,813,815,816,823,826,833,834,840,845,849,850,851,858,864,866,
883,884,885,886,887,888,889,890,891,892,893,894,895,896,897,898,899,900,901,
902,903,904,905,906,907,908,909,910,911,912,913,914,915,916,917,918,919,920,
921,922,923,924,925,926,927,928,929,930,931,932,933,934,935,936,937,938,939,
940,941,942,943,944,945,946,947,948,949,950,951,952,953,954,955,956,957,958,
959,960,961,962,963,964,965,966,967,968,969,970,971,972,973,974,975,976,977,
978,979,980,981,982,983,984,985,986,987,988,989,990,991,992,993,994,995,996,
997,998,999,1000,1001,1002,1022,1025,1030,1040,1041,1042,1048,1057,1072,1075,
1079,1081,1089,1097,1102,1103,1104,1105,1106,1107,1108,1109,1110,1111,1112,
1113,1114,1115,1116,1117,1118,1119,1120,1121,1122,1123,1124,1125,1126,1127,
1128,1129,1130,1131,1132,1133,1134,1135,1136,1137,1138,1139,1140,1141,1142,
1143,1144,1145,1146,1147,1148,1173,1174,1177,1178,1185,1188,1194,1197,1210,
1215,1223,1237,1238,1239,1240,1241,1242,1243,1244,1245,1246,1247,1248,1249,
1250,1251,1266,1270,1275,1276,1279,1282,1283,1292,1304,1325,1329,1333,1336,
1338,1340,1343,1374],[1,2,3,4,5,6,7,8,9,10,11,12,23,24,25,26,28,29,30,34,36,
39,40,41,44,47,81,83,84,85,86,87,88,90,94,95,107,108,114,115,118,119,120,243,
244,245,264,271,273,274,275,276,278,310,312,506,508,516,517,519,520,524,525,
526,529,533,585,587,593,595,825,828,1005,1007,1016,1019,1022,1026,1028,1233,
1252,1316,1317,1320,1375],[1,2,3,4,5,6,7,8,10,12,13,15,23,24,25,27,29,31,32,
33,35,41,42,43,45,48,81,83,84,85,87,89,90,92,93,95,109,110,113,115,116,117,
121,243,244,245,263,267,269,270,272,274,277,311,313,507,508,516,517,518,521,
524,527,528,530,532,584,586,593,594,826,827,1005,1006,1017,1018,1021,1025,
1027,1232,1253,1315,1318,1319,1376],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,
17,18,20,21,23,24,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,
47,48,49,50,51,52,53,55,56,57,58,59,60,62,63,64,65,66,67,68,70,72,73,74,75,76,
77,79,81,83,84,85,86,87,88,89,90,92,93,94,95,99,100,102,106,107,108,109,110,
112,113,114,115,116,117,118,119,120,121,122,124,129,130,131,132,133,134,135,
136,138,139,142,147,150,152,153,154,155,156,157,158,159,160,163,164,165,166,
167,168,169,172,174,175,180,181,183,184,185,186,187,188,190,191,192,193,194,
195,198,200,201,202,203,204,205,207,208,209,210,211,212,213,214,215,220,221,
222,223,226,227,229,230,241,247,249,254,260,263,264,267,269,270,271,272,273,
274,275,276,277,278,279,288,292,294,295,296,297,298,299,300,302,304,305,308,
309,310,311,312,313,314,315,316,317,318,319,320,321,323,324,326,327,328,329,
330,331,332,333,334,335,336,337,338,339,340,345,347,351,354,355,356,357,360,
367,368,369,370,371,372,373,374,375,376,377,378,379,382,383,384,385,387,388,
389,393,394,397,398,402,409,410,411,412,413,418,420,421,424,426,431,432,433,
434,436,437,438,439,440,441,451,452,453,460,463,469,470,471,478,479,480,488,
490,491,492,506,507,508,516,517,518,519,520,521,523,524,525,526,527,528,529,
530,532,533,546,547,548,557,561,594,595,598,599,600,605,606,607,609,611,613,
615,616,619,620,621,622,623,624,625,626,627,630,631,632,635,636,637,641,642,
643,645,665,666,667,668,669,670,671,672,675,677,679,689,690,691,692,694,695,
696,713,714,720,722,723,724,731,732,736,737,739,744,745,751,752,753,754,760,
761,803,806,814,817,818,821,825,826,827,828,836,840,841,843,845,846,866,883,
885,888,889,900,901,919,920,925,926,931,934,935,939,943,946,948,949,956,963,
964,968,1005,1006,1007,1021,1022,1025,1026,1027,1028,1030,1037,1039,1057,1072,
1076,1078,1095,1102,1104,1105,1109,1110,1113,1114,1154,1172,1175,1176,1177,
1179,1188,1238,1252,1253,1266,1267,1270,1272,1277,1278,1282,1306,1308,1326,
1340,1354,1377],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,23,24,26,
27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,
54,55,56,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,76,78,79,81,83,84,85,86,
87,88,89,90,92,93,94,95,98,100,102,105,107,108,109,110,111,113,114,115,116,
117,118,119,120,121,123,125,127,128,131,132,133,134,135,137,140,141,143,148,
149,152,153,154,155,156,157,158,159,160,161,162,163,164,167,168,169,170,171,
173,176,177,178,179,189,190,191,192,193,194,195,196,197,198,200,201,202,203,
204,205,206,207,208,210,211,212,213,214,215,216,217,218,219,223,225,227,228,
231,241,246,248,253,258,263,264,267,269,270,271,272,273,274,275,276,277,278,
280,288,293,294,295,296,297,298,299,301,302,306,307,308,309,310,311,312,313,
314,315,316,317,318,319,320,321,322,323,324,325,328,329,330,331,332,333,334,
335,336,341,342,343,344,345,346,347,350,352,353,358,359,362,363,364,365,366,
372,373,374,375,376,377,378,379,380,381,384,386,387,390,391,395,396,399,400,
401,404,405,406,407,408,417,419,422,425,427,431,439,440,441,442,443,444,454,
455,456,457,458,459,461,462,472,473,474,475,476,477,485,486,487,489,506,507,
508,516,517,518,519,520,521,522,524,525,526,527,528,529,530,532,533,537,538,
541,551,562,594,595,596,597,601,602,603,604,608,610,614,617,618,619,620,621,
622,623,624,625,626,628,629,633,634,635,636,637,638,639,640,644,658,659,660,
661,662,663,664,673,676,677,686,687,688,689,698,699,700,701,711,712,719,725,
726,727,730,733,735,738,740,742,743,747,748,749,750,762,763,804,805,813,815,
816,823,825,826,827,828,834,840,841,843,845,846,868,884,886,888,889,898,899,
921,922,927,928,932,936,937,939,942,945,954,955,957,962,967,969,1005,1006,
1007,1021,1022,1025,1026,1027,1028,1032,1041,1042,1058,1071,1079,1081,1095,
1103,1104,1106,1107,1108,1112,1117,1155,1173,1174,1176,1177,1178,1187,1237,
1252,1253,1266,1267,1271,1272,1276,1279,1281,1305,1307,1325,1339,1354,1378],[
1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,23,24,26,27,28,29,30,31,32,
33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,58,59,60,
61,62,64,65,66,67,68,69,70,71,72,73,76,78,79,81,83,84,85,87,89,90,91,92,93,94,
95,98,100,102,105,107,108,109,110,111,113,114,115,116,117,118,119,120,121,123,
125,127,128,131,132,133,134,135,137,140,141,143,148,149,152,153,154,155,156,
157,158,159,160,161,162,163,164,167,168,169,170,171,173,176,177,178,179,189,
190,191,192,193,194,195,196,197,198,200,201,202,203,204,205,206,207,208,210,
211,212,213,214,215,216,217,218,219,223,225,227,228,231,241,246,247,248,249,
250,251,252,253,263,264,265,266,267,269,270,271,272,274,276,277,280,282,283,
288,293,294,295,296,297,298,299,301,302,306,307,308,309,310,311,312,313,314,
315,316,317,318,319,320,321,322,323,324,325,328,329,330,331,332,333,334,335,
336,341,342,343,344,345,346,347,350,352,353,358,359,362,363,364,365,366,372,
373,374,375,376,377,378,379,380,381,384,386,387,390,391,395,396,399,400,401,
404,405,406,407,408,417,419,422,425,427,431,439,440,441,442,443,444,454,455,
456,457,458,459,461,462,472,473,474,475,476,477,485,486,487,489,507,508,515,
516,517,518,521,522,524,527,528,529,530,531,532,533,535,537,538,539,540,541,
542,546,549,550,551,562,576,578,594,595,596,597,601,602,603,604,608,610,614,
617,618,619,620,621,622,623,624,625,626,628,629,633,634,635,636,637,638,639,
640,644,658,659,660,661,662,663,664,673,676,677,686,687,688,689,698,699,700,
701,711,712,719,725,726,727,730,733,735,738,740,742,743,747,748,749,750,762,
763,804,806,813,815,825,826,827,829,830,832,834,835,838,841,842,843,868,871,
884,886,888,889,898,899,921,922,927,928,932,936,937,939,942,945,954,955,957,
962,967,969,1003,1005,1006,1021,1023,1025,1026,1027,1031,1032,1035,1036,1041,
1042,1054,1055,1058,1063,1064,1065,1068,1071,1083,1090,1103,1104,1106,1107,
1108,1112,1117,1155,1159,1176,1178,1181,1187,1201,1204,1237,1253,1255,1267,
1269,1271,1273,1281,1307,1328,1339,1352,1379],[1,2,3,4,5,6,7,8,9,10,11,12,13,
14,15,16,17,18,20,21,23,24,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,
44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,62,63,64,65,66,67,68,70,72,73,
74,75,76,77,79,81,83,84,85,86,87,88,90,91,93,94,95,99,100,102,106,107,108,109,
110,112,113,114,115,116,117,118,119,120,121,122,124,129,130,131,132,133,134,
135,136,138,139,142,147,150,152,153,154,155,156,157,158,159,160,163,164,165,
166,167,168,169,172,174,175,180,181,183,184,185,186,187,188,190,191,192,193,
194,195,198,200,201,202,203,204,205,207,208,209,210,211,212,213,214,215,220,
221,222,223,226,227,229,230,241,246,247,248,249,250,252,254,255,263,264,265,
267,268,271,272,273,274,275,276,278,279,281,283,288,292,294,295,296,297,298,
299,300,302,304,305,308,309,310,311,312,313,314,315,316,317,318,319,320,321,
323,324,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,345,347,
351,354,355,356,357,360,367,368,369,370,371,372,373,374,375,376,377,378,379,
382,383,384,385,387,388,389,393,394,397,398,402,409,410,411,412,413,418,420,
421,424,426,431,432,433,434,436,437,438,439,440,441,451,452,453,460,463,469,
470,471,478,479,480,488,490,491,492,506,508,514,516,517,519,520,523,524,525,
526,529,530,532,533,534,536,541,543,544,545,546,547,548,549,556,557,561,577,
579,594,595,598,599,600,605,606,607,609,611,613,615,616,619,620,621,622,623,
624,625,626,627,630,631,632,635,636,637,641,642,643,645,665,666,667,668,669,
670,671,672,675,677,679,689,690,691,692,694,695,696,713,714,720,722,723,724,
731,732,736,737,739,744,745,751,752,753,754,760,761,803,805,814,817,825,826,
828,829,831,833,836,837,839,840,844,845,866,872,883,885,888,889,900,901,919,
920,925,926,931,934,935,939,943,946,948,949,956,963,964,968,1004,1005,1007,
1022,1024,1025,1026,1028,1029,1030,1033,1034,1037,1039,1053,1056,1057,1062,
1063,1066,1067,1072,1082,1091,1102,1104,1105,1109,1110,1113,1114,1154,1158,
1177,1179,1180,1188,1202,1203,1238,1252,1254,1266,1268,1270,1274,1282,1308,
1327,1340,1353,1380],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,21,22,23,
24,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,
52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,
79,80,81,83,84,85,87,89,90,91,92,93,95,96,97,99,101,105,109,110,111,112,113,
114,115,116,117,118,119,120,121,123,124,125,127,128,129,130,131,132,133,134,
135,136,137,138,139,140,141,142,143,146,148,149,150,152,153,154,155,156,157,
158,159,160,162,163,164,165,166,167,169,170,171,172,173,174,175,176,179,180,
181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,197,198,200,201,
202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,219,220,221,222,
223,225,226,227,228,230,231,232,233,234,235,236,237,238,239,248,249,254,255,
257,258,259,260,262,263,264,265,266,267,269,270,271,272,274,276,277,282,283,
285,286,293,294,295,296,297,298,299,300,301,302,304,305,306,308,309,310,311,
313,314,315,316,317,320,321,323,325,327,328,329,330,333,334,335,336,337,338,
339,340,341,342,345,346,348,350,351,354,355,356,357,358,359,360,362,363,364,
366,367,368,369,370,372,373,375,377,378,379,381,382,383,384,385,386,387,388,
390,391,395,396,397,398,399,400,401,404,405,406,407,408,409,410,413,414,415,
417,418,419,421,422,425,426,427,433,434,436,438,440,442,445,448,449,450,451,
452,453,459,460,461,462,465,466,467,468,469,470,471,472,473,474,475,476,477,
478,479,483,485,486,487,488,489,490,491,495,496,497,498,499,500,501,502,503,
504,505,507,508,515,516,517,518,521,522,524,527,528,530,531,532,535,543,544,
547,548,552,553,559,560,564,565,566,567,568,571,572,573,575,576,578,580,594,
596,597,603,605,606,607,608,610,611,614,615,616,617,620,622,624,625,626,627,
629,633,634,637,638,639,640,643,644,645,647,648,649,654,655,661,664,669,670,
671,672,673,676,677,679,680,684,690,693,694,695,696,702,703,707,708,711,718,
720,721,725,726,727,728,729,730,731,733,735,737,738,739,740,742,743,745,747,
748,749,750,753,754,756,757,758,759,762,763,765,766,769,772,773,774,779,780,
783,784,785,787,793,794,795,796,797,798,799,800,808,809,816,817,818,819,821,
822,825,826,827,829,830,838,841,842,843,851,852,854,856,857,858,862,869,871,
874,885,889,890,891,897,898,899,914,915,917,919,924,931,935,936,937,938,946,
953,955,956,959,961,962,968,970,972,975,978,979,980,981,982,983,984,988,990,
995,996,998,1001,1002,1003,1005,1006,1021,1023,1025,1027,1031,1032,1035,1036,
1039,1040,1044,1047,1048,1050,1052,1054,1055,1058,1062,1070,1073,1077,1078,
1083,1085,1087,1088,1090,1092,1103,1111,1113,1122,1127,1129,1134,1142,1143,
1146,1147,1150,1151,1153,1175,1176,1181,1200,1206,1211,1212,1215,1217,1221,
1224,1226,1227,1228,1244,1253,1255,1269,1271,1273,1277,1284,1286,1287,1309,
1313,1332,1344,1347,1352,1381],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,
21,22,23,24,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,
49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,
76,77,78,79,80,81,83,84,85,86,87,88,90,91,94,95,96,97,98,101,106,107,108,111,
112,113,114,115,116,117,118,119,120,121,122,124,125,127,128,129,130,131,132,
133,134,135,136,137,138,139,140,141,142,143,146,147,149,150,152,153,154,155,
156,157,158,159,160,161,162,164,165,166,167,168,169,170,171,172,173,174,176,
177,178,179,181,182,184,185,186,187,189,190,191,192,193,194,195,196,197,198,
200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,
219,221,223,226,227,228,229,230,231,232,233,234,235,236,237,238,239,248,249,
251,253,256,257,258,260,261,263,264,265,267,268,271,272,273,274,275,276,278,
281,283,284,286,292,294,295,296,297,298,299,300,301,302,304,306,307,308,309,
310,311,312,315,317,318,319,320,321,322,324,326,327,329,330,331,332,334,335,
336,337,338,341,342,343,344,346,347,349,350,351,352,353,357,358,359,360,362,
363,364,365,367,368,369,371,372,373,374,376,377,379,380,381,383,384,385,386,
387,388,389,390,393,394,397,398,399,400,402,405,406,408,409,410,411,412,413,
415,416,417,418,419,420,421,424,425,426,434,435,437,439,442,443,446,447,449,
454,455,456,457,458,460,461,463,465,466,467,468,469,470,471,472,473,474,476,
477,478,479,480,482,485,486,487,488,490,491,492,495,496,497,498,499,500,501,
502,503,504,505,506,508,514,516,517,519,520,523,524,525,526,529,533,534,536,
537,538,539,542,553,554,555,558,564,565,566,569,570,571,572,573,574,577,579,
581,595,598,599,602,603,604,606,608,609,611,613,615,617,618,619,621,622,623,
624,628,630,631,632,636,640,641,642,643,644,645,646,650,651,653,657,658,659,
660,667,668,672,675,676,677,678,685,687,697,698,699,700,701,704,705,707,709,
713,715,719,721,722,723,724,728,729,731,732,733,735,736,737,739,740,743,744,
745,747,748,751,752,753,754,756,757,758,759,760,761,764,767,770,771,775,776,
777,778,781,782,786,788,793,794,795,796,797,798,799,800,807,809,815,816,818,
820,823,824,825,826,828,829,831,839,840,844,845,850,853,855,859,860,861,862,
870,872,875,886,888,892,893,895,900,901,909,910,912,921,923,932,934,935,937,
938,942,949,950,957,958,960,963,967,971,973,976,977,979,980,981,982,985,986,
989,991,994,997,999,1000,1002,1004,1005,1007,1022,1024,1026,1028,1029,1030,
1033,1034,1038,1042,1043,1047,1048,1049,1051,1053,1056,1057,1068,1069,1073,
1080,1081,1082,1084,1086,1089,1091,1093,1102,1111,1117,1124,1126,1128,1132,
1141,1144,1145,1148,1149,1151,1152,1174,1177,1180,1199,1205,1210,1213,1216,
1218,1222,1223,1225,1229,1230,1243,1252,1254,1268,1270,1274,1279,1283,1285,
1288,1310,1314,1331,1343,1346,1353,1382],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,
16,17,18,20,21,23,24,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,
46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,
72,73,74,75,76,77,79,81,83,84,85,86,87,88,90,91,93,94,95,99,100,102,105,106,
107,108,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,
128,129,130,131,132,133,134,135,136,138,139,140,141,142,143,144,145,146,147,
148,150,151,152,153,154,155,156,157,159,160,161,162,163,164,165,166,167,168,
169,170,171,172,173,174,175,176,177,178,179,182,185,186,187,188,189,190,191,
192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,
211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,229,230,
241,246,248,253,258,263,264,265,266,267,268,271,272,273,274,275,276,278,279,
281,283,288,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,
308,309,310,311,312,318,319,320,321,322,323,324,325,326,327,328,329,330,331,
332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,
351,352,353,357,359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,
374,375,376,377,380,381,384,385,387,388,389,391,392,393,394,397,398,401,402,
403,404,405,406,407,408,409,410,411,412,413,414,415,416,418,420,421,422,423,
424,426,427,428,429,430,432,433,434,439,440,441,442,443,444,445,447,448,449,
450,459,460,462,463,464,469,470,471,472,473,474,475,476,478,479,480,481,482,
483,484,486,487,488,489,490,491,492,493,494,506,508,514,516,517,519,520,522,
523,524,525,526,529,531,532,533,534,536,541,543,551,552,561,562,563,577,578,
579,582,595,598,599,601,602,603,604,609,610,611,612,613,614,615,616,617,618,
619,620,621,622,623,628,630,631,632,636,638,639,640,641,642,643,645,646,647,
648,649,652,653,654,655,656,657,661,662,663,664,665,666,667,672,673,674,675,
677,680,681,682,683,684,685,686,687,688,689,690,691,692,693,702,703,706,707,
708,709,710,711,712,717,718,722,723,724,730,731,732,734,736,737,738,739,740,
741,742,744,745,746,749,750,751,752,753,754,755,760,761,790,791,792,803,805,
813,815,816,823,825,826,828,829,831,833,839,840,841,844,845,866,867,868,872,
873,884,886,887,888,890,891,894,895,896,897,900,901,904,905,906,907,908,914,
915,916,917,918,922,924,927,928,930,933,934,935,936,941,945,947,952,953,954,
955,963,964,965,966,969,992,993,1004,1005,1007,1022,1024,1026,1028,1029,1030,
1033,1034,1040,1041,1046,1053,1055,1056,1057,1058,1059,1060,1071,1075,1079,
1082,1091,1102,1112,1116,1119,1120,1122,1123,1139,1140,1155,1158,1173,1174,
1177,1180,1187,1191,1197,1214,1220,1240,1252,1254,1268,1270,1274,1275,1276,
1305,1329,1342,1353,1383],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,
23,24,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,
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,
78,79,81,83,84,85,87,89,90,91,92,93,94,95,98,100,102,105,106,109,110,111,112,
113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,
132,133,134,135,137,138,139,140,141,142,143,144,145,146,147,148,149,151,152,
153,154,155,156,157,158,159,163,164,165,166,167,168,169,170,171,172,173,174,
175,176,177,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,
196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,
215,216,217,218,219,220,221,222,223,224,225,227,228,229,231,241,247,249,254,
260,263,264,265,266,267,268,269,270,271,272,274,276,277,280,282,283,288,292,
293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,
313,314,315,316,317,323,324,325,326,327,328,329,330,331,332,333,334,335,336,
337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,354,355,356,358,
359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,374,375,378,379,
382,383,384,386,387,389,390,391,392,395,396,399,400,401,402,403,404,405,406,
407,408,409,410,411,412,413,414,415,416,417,419,420,422,423,424,425,427,428,
429,430,432,433,434,435,437,439,440,441,442,443,444,446,447,448,449,461,462,
463,464,469,470,471,472,473,474,475,476,477,479,480,481,482,483,484,485,486,
487,489,490,491,492,493,494,507,508,515,516,517,518,521,522,523,524,527,528,
530,531,532,533,534,535,542,546,557,558,561,562,563,576,578,579,582,594,596,
597,600,605,606,607,608,609,610,612,613,614,615,616,617,618,619,620,624,625,
626,627,629,633,634,637,638,639,640,641,642,643,644,646,647,650,651,652,653,
654,655,656,657,662,663,664,665,666,667,668,673,674,675,676,677,678,681,682,
683,684,685,686,687,688,689,690,691,692,697,704,705,706,707,708,709,710,713,
714,715,716,725,726,727,730,732,733,734,735,736,738,739,740,741,742,743,744,
746,747,748,749,750,751,752,755,762,763,790,791,792,804,806,814,817,818,821,
825,826,827,829,830,832,838,840,841,842,843,866,867,868,871,873,883,885,887,
889,892,893,894,895,896,897,898,899,902,903,906,907,908,909,910,911,912,913,
920,923,925,926,929,933,934,936,937,940,943,944,948,949,950,951,962,964,965,
966,969,992,993,1003,1005,1006,1021,1023,1025,1027,1031,1032,1035,1036,1037,
1038,1045,1054,1055,1056,1057,1058,1059,1061,1072,1074,1076,1083,1090,1103,
1114,1115,1118,1120,1124,1125,1137,1138,1154,1159,1172,1175,1176,1181,1188,
1192,1198,1214,1219,1239,1253,1255,1269,1271,1273,1278,1280,1306,1330,1341,
1352,1384],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,21,22,23,24,26,27,28,
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,
55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,79,80,81,83,
84,85,86,87,88,89,90,92,93,94,95,96,97,98,99,101,107,108,109,110,111,112,113,
114,115,116,117,118,119,120,121,124,125,126,127,128,129,130,131,132,133,134,
135,144,145,146,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,
167,168,169,170,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,
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,
225,227,229,232,233,234,239,248,249,253,254,256,257,258,259,260,261,262,263,
264,267,269,270,271,272,273,274,275,276,277,278,284,285,286,294,295,296,297,
298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,
317,318,319,320,321,322,323,324,328,329,330,331,332,333,334,335,336,337,339,
340,342,343,344,345,347,348,349,350,351,352,353,354,355,356,361,362,363,364,
365,367,368,369,370,372,373,374,375,376,377,378,379,380,381,382,383,384,389,
391,392,403,414,415,416,423,428,429,431,432,433,434,435,442,443,444,445,446,
447,448,449,450,464,465,466,467,468,481,482,483,484,493,494,495,504,506,507,
508,516,517,518,519,520,521,524,525,526,527,528,529,530,532,533,542,543,552,
553,554,555,558,559,560,564,565,567,568,569,570,571,572,573,594,595,602,603,
604,605,606,607,612,615,616,617,618,619,620,621,622,623,624,625,626,627,628,
635,636,637,646,647,648,649,650,651,652,653,654,655,656,657,674,677,681,682,
683,684,685,686,692,715,716,717,718,721,728,729,734,741,746,755,769,770,772,
773,775,776,778,779,801,802,807,808,809,815,816,817,818,821,822,823,824,825,
826,827,828,840,841,843,845,846,851,853,856,857,858,859,860,861,862,885,886,
888,889,923,924,929,930,933,938,939,944,947,950,951,952,953,958,959,960,961,
965,966,987,1005,1006,1007,1021,1022,1025,1026,1027,1028,1038,1040,1043,1044,
1047,1048,1049,1050,1074,1075,1087,1089,1094,1095,1096,1104,1115,1116,1126,
1127,1130,1131,1151,1152,1153,1174,1175,1176,1177,1215,1216,1217,1218,1231,
1245,1252,1253,1266,1267,1272,1275,1280,1283,1284,1309,1310,1333,1334,1345,
1354,1385],[1,2,3,4,5,7,8,13,14,15,17,18,19,21,22,23,26,31,43,46,57,58,60,63,
66,74,75,77,78,80,81,82,83,87,89,91,92,93,96,99,105,109,137,149,158,170,180,
184,187,201,222,230,234,235,238,239,250,254,255,257,259,262,264,268,281,285,
314,325,354,385,400,436,450,452,465,496,500,507,511,515,518,522,535,545,547,
565,581,588,590,591,596,680,696,759,765,769,780,808,811,819,822,831,852,869,
984,1003,1011,1023,1046,1051,1066,1150,1168,1170,1206,1209,1256,1298,1299,
1386],[1,2,3,4,5,6,8,9,11,14,17,18,19,21,22,23,27,28,38,40,54,55,60,61,69,71,
73,77,78,80,81,82,84,86,87,88,91,94,96,98,106,107,136,150,160,161,165,179,197,
208,218,228,232,236,238,239,250,251,253,256,257,261,263,266,282,284,318,326,
352,386,398,435,454,457,466,497,501,506,511,514,519,523,536,537,540,564,580,
588,589,591,598,678,699,758,767,770,777,807,812,820,824,830,850,870,986,1004,
1012,1024,1045,1052,1065,1149,1168,1169,1205,1208,1257,1297,1300,1387],[1,2,3,
4,5,7,8,13,14,15,17,18,19,21,22,23,24,26,31,43,46,57,58,60,63,66,74,75,77,78,
80,81,82,83,85,87,89,90,92,93,95,96,97,99,101,104,105,109,137,149,158,170,180,
184,187,201,222,230,234,235,238,239,240,242,254,257,258,259,260,262,264,270,
272,282,285,286,290,314,325,354,385,400,436,450,452,465,496,500,507,508,510,
515,518,521,522,527,530,535,547,552,560,565,567,571,575,576,580,588,590,592,
596,680,696,759,765,769,780,808,809,811,819,821,822,842,843,852,857,858,869,
874,879,881,984,1003,1006,1011,1020,1023,1031,1032,1035,1077,1078,1087,1088,
1100,1150,1153,1157,1161,1171,1206,1224,1226,1228,1234,1255,1259,1298,1301,
1313,1350,1369,1388],[1,2,3,4,5,6,8,9,11,14,17,18,19,21,22,23,24,27,28,38,40,
54,55,60,61,69,71,73,77,78,80,81,82,84,85,86,87,88,90,94,95,96,97,98,101,104,
106,107,136,150,160,161,165,179,197,208,218,228,232,236,238,239,240,242,253,
256,257,258,260,261,263,275,276,281,284,286,290,318,326,352,386,398,435,454,
457,466,497,501,506,508,510,514,519,520,523,525,529,536,537,555,558,564,570,
572,574,577,581,588,589,592,598,678,699,758,767,770,777,807,809,812,820,823,
824,844,845,850,859,861,870,875,879,880,986,1004,1007,1012,1020,1024,1029,
1030,1033,1080,1081,1086,1089,1101,1149,1152,1156,1160,1171,1205,1223,1225,
1229,1235,1254,1258,1297,1302,1314,1351,1370,1389],[1,2,3,4,5,6,7,8,10,12,13,
15,16,20,23,24,25,27,29,31,32,33,35,41,42,43,45,48,49,51,67,81,83,84,85,87,89,
90,92,93,94,95,102,103,106,109,110,113,115,116,117,121,122,166,167,185,207,
241,243,244,245,247,263,267,269,270,272,274,277,288,292,311,313,324,327,371,
507,508,512,513,516,517,518,521,523,524,527,528,530,532,561,584,586,593,594,
600,613,806,814,826,827,840,866,877,882,883,1005,1006,1017,1018,1021,1025,
1027,1057,1072,1154,1163,1172,1188,1232,1253,1295,1306,1315,1318,1319,1359,
1367,1376,1390],[1,2,3,4,5,6,7,8,9,10,11,12,16,20,23,24,25,26,28,29,30,34,36,
39,40,41,44,47,49,50,72,81,83,84,85,86,87,88,90,93,94,95,102,103,105,107,108,
114,115,118,119,120,123,159,171,205,206,241,243,244,245,246,264,271,273,274,
275,276,278,288,293,310,312,323,346,366,506,508,512,513,516,517,519,520,522,
524,525,526,529,533,562,585,587,593,595,601,614,805,813,825,828,841,868,876,
882,884,1005,1007,1016,1019,1022,1026,1028,1058,1071,1155,1162,1173,1187,1233,
1252,1296,1305,1316,1317,1320,1358,1368,1375,1391],[1,2,3,4,5,6,7,8,9,10,11,
12,13,14,15,16,17,18,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,
40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,
66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,83,84,85,87,89,90,91,92,93,94,
95,96,97,98,99,100,101,102,105,106,107,108,109,110,111,112,113,114,115,116,
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,
231,232,233,234,235,236,237,238,239,241,246,247,248,249,250,251,252,253,254,
255,257,258,259,260,262,263,264,265,266,267,268,269,270,271,272,274,276,277,
279,280,282,283,284,285,286,287,288,289,292,293,294,295,296,297,298,299,300,
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,
491,492,493,494,495,496,497,498,499,500,501,502,503,504,505,507,508,509,515,
516,517,518,521,522,523,524,527,528,529,530,531,532,533,534,535,537,538,539,
540,541,542,543,544,545,546,547,548,549,550,551,552,553,556,557,558,559,560,
561,562,563,564,565,566,567,568,571,572,573,575,576,578,579,580,582,583,594,
595,596,597,598,599,600,601,602,603,604,605,606,607,608,609,610,611,612,613,
614,615,616,617,618,619,620,621,622,623,624,625,626,627,628,629,630,631,632,
633,634,635,636,637,638,639,640,641,642,643,644,645,646,647,648,649,650,651,
652,653,654,655,656,657,658,659,660,661,662,663,664,665,666,667,668,669,670,
671,672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,689,
690,691,692,693,694,695,696,697,698,699,700,701,702,703,704,705,706,707,708,
709,710,711,712,713,714,715,716,717,718,719,720,721,722,723,724,725,726,727,
728,729,730,731,732,733,734,735,736,737,738,739,740,741,742,743,744,745,746,
747,748,749,750,751,752,753,754,755,756,757,758,759,760,761,762,763,764,765,
766,767,768,769,770,771,772,773,774,775,776,777,778,779,780,781,782,783,784,
785,786,787,788,789,790,791,792,793,794,795,796,797,798,799,800,801,802,804,
806,808,809,813,814,815,816,817,818,819,821,822,825,826,827,829,830,832,833,
834,835,836,837,838,840,841,842,843,847,848,849,850,851,852,853,854,855,856,
857,858,859,862,863,864,865,866,867,868,869,871,873,874,883,884,885,886,887,
888,889,890,891,892,893,894,895,896,897,898,899,900,901,902,903,904,905,906,
907,908,909,910,911,912,913,914,915,916,917,918,919,920,921,922,923,924,925,
926,927,928,929,930,931,932,933,934,935,936,937,938,939,940,941,942,943,944,
945,946,947,948,949,950,951,952,953,954,955,956,957,958,959,960,961,962,963,
964,965,966,967,968,969,970,971,972,973,974,975,976,977,978,979,980,981,982,
983,984,985,986,987,988,989,990,991,992,993,994,995,996,997,998,999,1000,1001,
1002,1003,1005,1006,1008,1021,1023,1025,1026,1027,1031,1032,1035,1036,1037,
1038,1039,1040,1041,1042,1044,1045,1047,1048,1050,1052,1054,1055,1056,1057,
1058,1059,1061,1062,1063,1064,1065,1068,1070,1071,1072,1073,1074,1075,1076,
1077,1078,1079,1083,1085,1087,1088,1090,1092,1097,1098,1099,1102,1103,1104,
1105,1106,1107,1108,1109,1110,1111,1112,1113,1114,1115,1116,1117,1118,1119,
1120,1121,1122,1123,1124,1125,1126,1127,1128,1129,1130,1131,1132,1133,1134,
1135,1136,1137,1138,1139,1140,1141,1142,1143,1144,1145,1146,1147,1148,1150,
1151,1153,1154,1155,1159,1172,1175,1176,1178,1179,1181,1183,1184,1185,1186,
1187,1188,1190,1192,1193,1194,1196,1197,1198,1200,1201,1202,1204,1206,1207,
1208,1210,1211,1212,1213,1214,1215,1216,1217,1219,1221,1224,1226,1227,1228,
1237,1238,1239,1240,1241,1242,1243,1244,1245,1246,1247,1248,1249,1250,1251,
1253,1255,1260,1262,1267,1269,1271,1273,1277,1278,1280,1281,1284,1286,1287,
1290,1291,1292,1293,1304,1306,1307,1309,1313,1326,1328,1330,1332,1334,1335,
1337,1339,1341,1344,1347,1352,1355,1371,1373,1379,1381,1384,1392],[1,2,3,4,5,
6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,22,23,24,26,27,28,29,30,31,32,33,34,
35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,
61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,83,84,85,86,87,
88,90,91,93,94,95,96,97,98,99,100,101,102,105,106,107,108,109,110,111,112,113,
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,
228,229,230,231,232,233,234,235,236,237,238,239,241,246,247,248,249,250,251,
252,253,254,255,256,257,258,260,261,263,264,265,266,267,268,271,272,273,274,
275,276,278,279,280,281,283,284,285,286,287,288,289,292,293,294,295,296,297,
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,
508,509,514,516,517,519,520,522,523,524,525,526,529,530,531,532,533,534,536,
537,538,539,540,541,542,543,544,545,546,547,548,549,550,551,552,553,554,555,
556,557,558,561,562,563,564,565,566,569,570,571,572,573,574,577,578,579,581,
582,583,594,595,596,597,598,599,600,601,602,603,604,605,606,607,608,609,610,
611,612,613,614,615,616,617,618,619,620,621,622,623,624,625,626,627,628,629,
630,631,632,633,634,635,636,637,638,639,640,641,642,643,644,645,646,647,648,
649,650,651,652,653,654,655,656,657,658,659,660,661,662,663,664,665,666,667,
668,669,670,671,672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,
687,688,689,690,691,692,693,694,695,696,697,698,699,700,701,702,703,704,705,
706,707,708,709,710,711,712,713,714,715,716,717,718,719,720,721,722,723,724,
725,726,727,728,729,730,731,732,733,734,735,736,737,738,739,740,741,742,743,
744,745,746,747,748,749,750,751,752,753,754,755,756,757,758,759,760,761,762,
763,764,765,766,767,768,769,770,771,772,773,774,775,776,777,778,779,780,781,
782,783,784,785,786,787,788,789,790,791,792,793,794,795,796,797,798,799,800,
801,802,803,805,807,809,813,814,815,816,817,818,820,823,824,825,826,828,829,
831,832,833,834,835,836,837,839,840,841,844,845,847,848,849,850,851,852,853,
854,855,858,859,860,861,862,863,864,865,866,867,868,870,872,873,875,883,884,
885,886,887,888,889,890,891,892,893,894,895,896,897,898,899,900,901,902,903,
904,905,906,907,908,909,910,911,912,913,914,915,916,917,918,919,920,921,922,
923,924,925,926,927,928,929,930,931,932,933,934,935,936,937,938,939,940,941,
942,943,944,945,946,947,948,949,950,951,952,953,954,955,956,957,958,959,960,
961,962,963,964,965,966,967,968,969,970,971,972,973,974,975,976,977,978,979,
980,981,982,983,984,985,986,987,988,989,990,991,992,993,994,995,996,997,998,
999,1000,1001,1002,1004,1005,1007,1009,1022,1024,1025,1026,1028,1029,1030,
1033,1034,1037,1038,1039,1040,1041,1042,1043,1046,1047,1048,1049,1051,1053,
1055,1056,1057,1058,1059,1060,1062,1063,1066,1067,1068,1069,1071,1072,1073,
1074,1075,1076,1079,1080,1081,1082,1084,1086,1089,1091,1093,1097,1098,1099,
1102,1103,1104,1105,1106,1107,1108,1109,1110,1111,1112,1113,1114,1115,1116,
1117,1118,1119,1120,1121,1122,1123,1124,1125,1126,1127,1128,1129,1130,1131,
1132,1133,1134,1135,1136,1137,1138,1139,1140,1141,1142,1143,1144,1145,1146,
1147,1148,1149,1151,1152,1154,1155,1158,1173,1174,1177,1178,1179,1180,1182,
1184,1185,1186,1187,1188,1189,1191,1193,1194,1195,1197,1198,1199,1202,1203,
1204,1205,1207,1209,1210,1211,1212,1213,1214,1215,1216,1218,1220,1222,1223,
1225,1229,1230,1237,1238,1239,1240,1241,1242,1243,1244,1245,1246,1247,1248,
1249,1250,1251,1252,1254,1260,1261,1266,1268,1270,1274,1275,1276,1279,1282,
1283,1285,1288,1289,1291,1292,1293,1304,1305,1308,1310,1314,1325,1327,1329,
1331,1333,1336,1338,1340,1342,1343,1346,1353,1356,1372,1374,1380,1382,1383,
1393],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,22,23,24,26,27,28,
29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,
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,
81,83,84,85,86,87,88,89,90,92,93,94,95,96,97,98,99,100,101,102,105,106,107,
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,
222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,241,
246,247,248,249,253,254,256,257,258,259,260,261,262,263,264,267,269,270,271,
272,273,274,275,276,277,278,279,280,284,285,286,287,288,289,292,293,294,295,
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,
505,506,507,508,509,516,517,518,519,520,521,522,523,524,525,526,527,528,529,
530,532,533,537,538,541,542,543,546,547,548,551,552,553,554,555,557,558,559,
560,561,562,564,565,567,568,569,570,571,572,573,583,594,595,596,597,598,599,
600,601,602,603,604,605,606,607,608,609,610,611,612,613,614,615,616,617,618,
619,620,621,622,623,624,625,626,627,628,629,630,631,632,633,634,635,636,637,
638,639,640,641,642,643,644,645,646,647,648,649,650,651,652,653,654,655,656,
657,658,659,660,661,662,663,664,665,666,667,668,669,670,671,672,673,674,675,
676,677,678,679,680,681,682,683,684,685,686,687,688,689,690,691,692,693,694,
695,696,697,698,699,700,701,702,703,704,705,706,707,708,709,710,711,712,713,
714,715,716,717,718,719,720,721,722,723,724,725,726,727,728,729,730,731,732,
733,734,735,736,737,738,739,740,741,742,743,744,745,746,747,748,749,750,751,
752,753,754,755,756,757,758,759,760,761,762,763,764,765,766,767,768,769,770,
771,772,773,774,775,776,777,778,779,780,781,782,783,784,785,786,787,788,789,
790,791,792,793,794,795,796,797,798,799,800,801,802,803,804,805,806,807,808,
809,813,814,815,816,817,818,821,822,823,824,825,826,827,828,832,833,834,836,
840,841,843,845,846,848,849,850,851,852,853,856,857,858,859,860,861,862,863,
864,866,868,883,884,885,886,887,888,889,890,891,892,893,894,895,896,897,898,
899,900,901,902,903,904,905,906,907,908,909,910,911,912,913,914,915,916,917,
918,919,920,921,922,923,924,925,926,927,928,929,930,931,932,933,934,935,936,
937,938,939,940,941,942,943,944,945,946,947,948,949,950,951,952,953,954,955,
956,957,958,959,960,961,962,963,964,965,966,967,968,969,970,971,972,973,974,
975,976,977,978,979,980,981,982,983,984,985,986,987,988,989,990,991,992,993,
994,995,996,997,998,999,1000,1001,1002,1005,1006,1007,1008,1009,1021,1022,
1025,1026,1027,1028,1030,1032,1037,1038,1039,1040,1041,1042,1043,1044,1047,
1048,1049,1050,1057,1058,1071,1072,1074,1075,1076,1078,1079,1081,1087,1089,
1094,1095,1096,1097,1098,1102,1103,1104,1105,1106,1107,1108,1109,1110,1111,
1112,1113,1114,1115,1116,1117,1118,1119,1120,1121,1122,1123,1124,1125,1126,
1127,1128,1129,1130,1131,1132,1133,1134,1135,1136,1137,1138,1139,1140,1141,
1142,1143,1144,1145,1146,1147,1148,1151,1152,1153,1154,1155,1172,1173,1174,
1175,1176,1177,1178,1179,1185,1186,1187,1188,1193,1194,1197,1198,1210,1211,
1215,1216,1217,1218,1223,1226,1231,1237,1238,1239,1240,1241,1242,1243,1244,
1245,1246,1247,1248,1249,1250,1251,1252,1253,1260,1266,1267,1270,1271,1272,
1275,1276,1277,1278,1279,1280,1281,1282,1283,1284,1291,1292,1304,1305,1306,
1307,1308,1309,1310,1325,1326,1329,1330,1333,1334,1335,1336,1337,1338,1339,
1340,1343,1344,1345,1354,1355,1356,1373,1374,1377,1378,1385,1394],[1,2,3,4,6,
7,8,9,10,11,12,13,14,15,16,17,18,20,21,23,25,26,27,28,29,30,31,32,33,34,35,36,
37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,64,65,
66,67,68,69,70,71,72,73,76,78,79,83,84,85,91,93,98,100,105,107,108,109,110,
111,113,114,115,116,117,118,119,120,121,123,125,127,128,131,132,133,134,135,
137,140,141,143,148,149,152,153,154,155,156,157,158,159,160,161,162,163,164,
167,168,169,170,171,173,176,177,178,179,189,190,191,192,193,194,195,196,197,
198,200,201,202,203,204,205,206,207,208,210,211,212,213,214,215,216,217,218,
219,223,225,227,228,231,243,246,247,248,249,250,251,252,253,258,263,264,265,
266,267,272,280,282,283,293,294,295,296,297,298,299,301,302,306,307,308,309,
310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,328,329,330,
331,332,333,334,335,336,341,342,343,344,345,346,347,350,352,353,358,359,362,
363,364,365,366,372,373,374,375,376,377,378,379,380,381,384,386,387,390,391,
395,396,399,400,401,404,405,406,407,408,417,419,422,425,427,431,439,440,441,
442,443,444,454,455,456,457,458,459,461,462,472,473,474,475,476,477,485,486,
487,489,516,520,522,530,531,532,537,538,539,540,541,542,546,549,550,551,576,
578,584,586,594,595,596,597,601,602,603,604,608,610,614,617,618,619,620,621,
622,623,624,625,626,628,629,633,634,635,636,637,638,639,640,644,658,659,660,
661,662,663,664,673,676,677,686,687,688,689,698,699,700,701,711,712,719,725,
726,727,730,733,735,738,740,742,743,747,748,749,750,762,763,813,815,816,823,
826,829,830,832,834,835,840,845,884,886,888,889,898,899,921,922,927,928,932,
936,937,939,942,945,954,955,957,962,967,969,1013,1014,1017,1022,1025,1035,
1036,1041,1042,1054,1055,1063,1064,1065,1068,1079,1081,1090,1103,1104,1106,
1107,1108,1112,1117,1173,1174,1177,1178,1201,1204,1232,1237,1266,1269,1276,
1279,1318,1323,1324,1325,1328,1395],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,
18,20,21,23,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,
48,49,50,51,52,53,55,56,57,58,59,60,62,63,64,65,66,67,68,70,72,73,74,75,76,77,
79,83,84,90,91,94,99,100,106,107,108,109,110,112,113,114,115,116,117,118,119,
120,121,122,124,129,130,131,132,133,134,135,136,138,139,142,147,150,152,153,
154,155,156,157,158,159,160,163,164,165,166,167,168,169,172,174,175,180,181,
183,184,185,186,187,188,190,191,192,193,194,195,198,200,201,202,203,204,205,
207,208,209,210,211,212,213,214,215,220,221,222,223,226,227,229,230,243,246,
247,248,249,250,252,254,255,260,263,264,265,268,271,276,279,281,283,292,294,
295,296,297,298,299,300,302,304,305,308,309,310,311,312,313,314,315,316,317,
318,319,320,321,323,324,326,327,328,329,330,331,332,333,334,335,336,337,338,
339,340,345,347,351,354,355,356,357,360,367,368,369,370,371,372,373,374,375,
376,377,378,379,382,383,384,385,387,388,389,393,394,397,398,402,409,410,411,
412,413,418,420,421,424,426,431,432,433,434,436,437,438,439,440,441,451,452,
453,460,463,469,470,471,478,479,480,488,490,491,492,517,521,523,529,533,534,
541,543,544,545,546,547,548,549,556,557,577,579,585,587,594,595,598,599,600,
605,606,607,609,611,613,615,616,619,620,621,622,623,624,625,626,627,630,631,
632,635,636,637,641,642,643,645,665,666,667,668,669,670,671,672,675,677,679,
689,690,691,692,694,695,696,713,714,720,722,723,724,731,732,736,737,739,744,
745,751,752,753,754,760,761,814,817,818,821,825,829,831,833,836,837,841,843,
883,885,888,889,900,901,919,920,925,926,931,934,935,939,943,946,948,949,956,
963,964,968,1013,1015,1016,1021,1026,1033,1034,1037,1039,1053,1056,1062,1063,
1066,1067,1076,1078,1091,1102,1104,1105,1109,1110,1113,1114,1172,1175,1176,
1179,1202,1203,1233,1238,1267,1268,1277,1278,1317,1321,1322,1326,1327,1396],[
1,2,3,4,5,6,7,8,9,10,11,12,14,15,16,17,18,19,20,21,22,23,24,27,28,29,30,32,34,
36,37,38,39,40,41,44,45,47,49,51,53,54,55,56,57,58,59,60,61,62,66,67,68,69,70,
71,73,74,76,77,78,80,81,82,84,86,87,88,91,93,94,96,98,99,100,101,102,106,107,
108,111,113,118,119,120,122,127,128,129,131,134,136,138,139,142,149,150,152,
154,160,161,162,165,168,169,172,178,179,185,186,189,191,192,195,196,197,207,
208,211,213,214,215,217,218,219,223,226,228,230,231,232,233,234,235,236,237,
238,239,240,241,242,246,248,250,251,252,253,256,257,261,263,265,266,267,273,
274,275,278,279,280,282,284,285,287,288,289,292,295,306,307,309,312,318,319,
320,321,322,326,331,347,351,352,353,357,360,367,376,377,380,381,386,390,393,
394,397,398,409,411,418,421,425,426,435,454,455,456,457,460,466,467,470,478,
479,480,488,492,495,496,497,498,499,501,502,505,506,509,510,511,514,519,523,
531,532,536,537,538,539,540,541,543,549,550,551,553,554,555,561,564,575,576,
580,583,588,589,591,598,608,623,628,632,642,650,658,660,678,698,699,700,701,
704,722,729,736,745,754,756,758,760,767,770,777,778,781,786,796,797,798,800,
803,805,807,810,812,820,824,828,830,833,834,835,839,844,849,850,851,864,866,
870,872,874,878,879,880,892,900,958,967,971,977,981,986,991,997,1000,1004,
1009,1012,1024,1043,1045,1052,1054,1061,1064,1065,1070,1080,1093,1097,1148,
1149,1156,1158,1160,1168,1169,1180,1183,1190,1192,1196,1200,1201,1205,1208,
1257,1258,1261,1263,1264,1288,1290,1297,1300,1311,1349,1351,1387,1397],[1,2,3,
4,5,6,7,8,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,26,29,31,32,33,35,36,
37,41,42,43,44,45,46,48,49,50,53,54,55,56,57,58,59,60,62,63,66,68,69,70,72,73,
74,75,76,77,78,80,81,82,83,87,89,91,92,93,94,96,98,99,100,101,102,105,109,110,
112,114,116,117,121,123,127,129,130,131,135,137,140,141,143,149,150,153,155,
158,163,164,170,173,180,181,183,184,186,187,188,189,190,193,195,201,205,206,
210,211,212,213,220,221,222,223,226,228,230,231,232,233,234,235,236,237,238,
239,240,241,242,247,249,250,252,254,255,257,259,262,264,265,268,269,270,271,
274,277,279,280,281,284,285,287,288,289,293,294,304,305,308,313,314,315,316,
317,325,328,345,350,354,355,356,358,359,362,378,379,382,383,385,388,395,396,
399,400,405,407,417,419,425,426,436,438,450,451,452,461,465,468,473,475,476,
477,485,489,495,496,497,498,499,500,503,505,507,509,510,511,515,518,522,533,
534,535,542,544,545,546,547,548,549,553,556,557,559,560,562,565,574,577,581,
583,588,590,591,596,611,626,627,634,638,649,670,671,679,680,694,695,696,702,
725,728,738,743,748,757,759,763,765,769,779,780,784,785,794,795,798,799,804,
806,808,810,811,819,822,827,831,832,836,837,838,842,848,852,853,863,868,869,
871,875,878,879,881,890,898,961,968,970,975,982,984,988,995,1001,1003,1008,
1011,1023,1044,1046,1051,1053,1060,1066,1067,1069,1077,1092,1098,1147,1150,
1157,1159,1161,1168,1170,1181,1182,1189,1191,1195,1199,1203,1206,1209,1256,
1259,1262,1264,1265,1287,1289,1298,1299,1312,1348,1350,1386,1398],[1,2,3,4,5,
6,7,8,10,12,14,16,18,19,20,21,22,23,24,25,26,27,29,37,41,49,50,51,59,60,65,67,
70,72,79,81,82,83,84,85,87,90,91,95,97,100,101,104,115,156,157,159,167,195,
204,205,207,227,239,240,241,242,243,246,247,248,249,250,252,257,258,260,263,
264,265,274,283,286,290,323,324,336,387,439,440,441,508,509,510,511,516,517,
524,541,546,549,553,573,584,585,588,591,592,689,809,810,813,814,816,818,829,
840,841,862,878,879,1005,1013,1014,1015,1016,1017,1020,1063,1076,1079,1151,
1154,1155,1168,1171,1260,1264,1321,1323,1357,1399],[1,2,3,4,6,7,8,9,10,11,12,
13,14,15,16,17,18,20,21,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,
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,
68,69,70,71,72,73,74,75,76,77,78,79,80,83,84,85,90,91,93,94,96,98,99,100,102,
103,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,
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,
237,238,243,246,247,248,249,250,251,252,253,254,255,258,260,263,264,265,266,
267,268,271,272,276,279,280,281,282,283,284,285,287,288,289,292,293,294,295,
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,
505,513,516,517,522,523,529,530,531,532,533,534,537,538,539,540,541,542,543,
544,545,546,547,548,549,550,551,552,556,557,558,561,562,563,564,565,566,571,
572,574,575,576,577,578,579,580,581,582,583,584,585,594,595,596,597,598,599,
600,601,602,603,604,605,606,607,608,609,610,611,612,613,614,615,616,617,618,
619,620,621,622,623,624,625,626,627,628,629,630,631,632,633,634,635,636,637,
638,639,640,641,642,643,644,645,646,647,648,649,650,651,652,653,654,655,656,
657,658,659,660,661,662,663,664,665,666,667,668,669,670,671,672,673,674,675,
676,677,678,679,680,681,682,683,684,685,686,687,688,689,690,691,692,693,694,
695,696,697,698,699,700,701,702,703,704,705,706,707,708,709,710,711,712,713,
714,715,716,717,718,719,720,721,722,723,724,725,726,727,728,729,730,731,732,
733,734,735,736,737,738,739,740,741,742,743,744,745,746,747,748,749,750,751,
752,753,754,755,756,757,758,759,760,761,762,763,764,765,766,767,768,769,770,
771,772,773,774,775,776,777,778,779,780,781,782,783,784,785,786,787,788,789,
790,791,792,793,794,795,796,797,798,799,800,801,802,813,814,815,816,817,818,
825,826,829,830,831,832,833,834,835,836,837,840,841,847,848,849,850,851,852,
853,854,855,858,859,863,864,865,866,867,868,873,874,875,876,877,883,884,885,
886,887,888,889,890,891,892,893,894,895,896,897,898,899,900,901,902,903,904,
905,906,907,908,909,910,911,912,913,914,915,916,917,918,919,920,921,922,923,
924,925,926,927,928,929,930,931,932,933,934,935,936,937,938,939,940,941,942,
943,944,945,946,947,948,949,950,951,952,953,954,955,956,957,958,959,960,961,
962,963,964,965,966,967,968,969,970,971,972,973,974,975,976,977,978,979,980,
981,982,983,984,985,986,987,988,989,990,991,992,993,994,995,996,997,998,999,
1000,1001,1002,1013,1014,1015,1016,1017,1025,1026,1033,1034,1035,1036,1037,
1038,1039,1040,1041,1042,1045,1046,1047,1048,1051,1052,1053,1054,1055,1056,
1057,1058,1059,1060,1061,1062,1063,1064,1065,1066,1067,1068,1069,1070,1071,
1072,1073,1074,1075,1076,1079,1090,1091,1097,1098,1099,1102,1103,1104,1105,
1106,1107,1108,1109,1110,1111,1112,1113,1114,1115,1116,1117,1118,1119,1120,
1121,1122,1123,1124,1125,1126,1127,1128,1129,1130,1131,1132,1133,1134,1135,
1136,1137,1138,1139,1140,1141,1142,1143,1144,1145,1146,1147,1148,1162,1163,
1164,1165,1166,1167,1178,1179,1182,1183,1184,1185,1186,1187,1188,1189,1190,
1191,1192,1193,1194,1195,1196,1197,1198,1199,1200,1201,1202,1203,1204,1207,
1208,1209,1210,1211,1212,1213,1214,1215,1216,1219,1220,1227,1228,1229,1230,
1237,1238,1239,1240,1241,1242,1243,1244,1245,1246,1247,1248,1249,1250,1251,
1268,1269,1289,1290,1291,1292,1293,1294,1304,1321,1323,1327,1328,1331,1332,
1341,1342,1362,1363,1364,1365,1366,1371,1372,1400],[1,2,3,4,6,7,8,9,10,11,12,
13,14,15,16,17,18,20,21,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,
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,
68,69,70,71,72,73,74,75,76,77,78,79,80,83,84,90,91,93,94,96,98,99,100,102,103,
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,
238,243,246,247,248,249,250,251,252,253,254,255,260,263,264,265,266,267,268,
271,276,279,280,281,283,284,285,287,288,289,292,293,294,295,296,297,298,299,
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,
490,491,492,493,494,495,496,497,498,499,500,501,502,503,504,505,513,517,521,
522,523,529,531,532,533,534,537,538,539,540,541,542,543,544,545,546,547,548,
549,550,551,556,557,558,561,562,563,564,565,566,572,574,577,578,579,581,582,
583,585,587,594,595,596,597,598,599,600,601,602,603,604,605,606,607,608,609,
610,611,612,613,614,615,616,617,618,619,620,621,622,623,624,625,626,627,628,
629,630,631,632,633,634,635,636,637,638,639,640,641,642,643,644,645,646,647,
648,649,650,651,652,653,654,655,656,657,658,659,660,661,662,663,664,665,666,
667,668,669,670,671,672,673,674,675,676,677,678,679,680,681,682,683,684,685,
686,687,688,689,690,691,692,693,694,695,696,697,698,699,700,701,702,703,704,
705,706,707,708,709,710,711,712,713,714,715,716,717,718,719,720,721,722,723,
724,725,726,727,728,729,730,731,732,733,734,735,736,737,738,739,740,741,742,
743,744,745,746,747,748,749,750,751,752,753,754,755,756,757,758,759,760,761,
762,763,764,765,766,767,768,769,770,771,772,773,774,775,776,777,778,779,780,
781,782,783,784,785,786,787,788,789,790,791,792,793,794,795,796,797,798,799,
800,801,802,814,817,818,821,825,829,831,832,833,834,835,836,837,841,843,847,
848,849,850,851,852,853,854,855,859,863,864,865,866,867,868,873,875,876,883,
884,885,886,887,888,889,890,891,892,893,894,895,896,897,898,899,900,901,902,
903,904,905,906,907,908,909,910,911,912,913,914,915,916,917,918,919,920,921,
922,923,924,925,926,927,928,929,930,931,932,933,934,935,936,937,938,939,940,
941,942,943,944,945,946,947,948,949,950,951,952,953,954,955,956,957,958,959,
960,961,962,963,964,965,966,967,968,969,970,971,972,973,974,975,976,977,978,
979,980,981,982,983,984,985,986,987,988,989,990,991,992,993,994,995,996,997,
998,999,1000,1001,1002,1013,1015,1016,1021,1026,1032,1033,1034,1037,1038,1039,
1046,1047,1051,1053,1055,1056,1058,1059,1060,1062,1063,1066,1067,1068,1069,
1071,1073,1074,1076,1078,1087,1091,1097,1098,1099,1102,1103,1104,1105,1106,
1107,1108,1109,1110,1111,1112,1113,1114,1115,1116,1117,1118,1119,1120,1121,
1122,1123,1124,1125,1126,1127,1128,1129,1130,1131,1132,1133,1134,1135,1136,
1137,1138,1139,1140,1141,1142,1143,1144,1145,1146,1147,1148,1162,1164,1166,
1172,1175,1176,1179,1182,1184,1186,1187,1189,1191,1193,1195,1198,1199,1202,
1203,1204,1207,1209,1211,1212,1213,1214,1216,1220,1226,1229,1230,1233,1237,
1238,1239,1240,1241,1242,1243,1244,1245,1246,1247,1248,1249,1250,1251,1267,
1268,1271,1277,1278,1280,1281,1284,1289,1291,1293,1296,1304,1317,1321,1322,
1326,1327,1330,1331,1334,1335,1337,1339,1342,1344,1360,1365,1368,1372,1373,
1396,1401],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,23,25,26,27,28,
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,
83,84,85,91,93,94,96,98,99,100,102,103,105,106,107,108,109,110,111,112,113,
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,
228,229,230,231,232,233,234,235,236,237,238,243,246,247,248,249,250,251,252,
253,254,255,258,263,264,265,266,267,268,271,272,279,280,282,283,284,285,287,
288,289,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,
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,
499,500,501,502,503,504,505,513,516,520,522,523,530,531,532,533,534,537,538,
539,540,541,542,543,544,545,546,547,548,549,550,551,552,556,557,561,562,563,
564,565,566,571,575,576,578,579,580,582,583,584,586,594,595,596,597,598,599,
600,601,602,603,604,605,606,607,608,609,610,611,612,613,614,615,616,617,618,
619,620,621,622,623,624,625,626,627,628,629,630,631,632,633,634,635,636,637,
638,639,640,641,642,643,644,645,646,647,648,649,650,651,652,653,654,655,656,
657,658,659,660,661,662,663,664,665,666,667,668,669,670,671,672,673,674,675,
676,677,678,679,680,681,682,683,684,685,686,687,688,689,690,691,692,693,694,
695,696,697,698,699,700,701,702,703,704,705,706,707,708,709,710,711,712,713,
714,715,716,717,718,719,720,721,722,723,724,725,726,727,728,729,730,731,732,
733,734,735,736,737,738,739,740,741,742,743,744,745,746,747,748,749,750,751,
752,753,754,755,756,757,758,759,760,761,762,763,764,765,766,767,768,769,770,
771,772,773,774,775,776,777,778,779,780,781,782,783,784,785,786,787,788,789,
790,791,792,793,794,795,796,797,798,799,800,801,802,813,815,816,823,826,829,
830,832,833,834,835,836,837,840,845,847,848,849,850,851,852,853,854,855,858,
863,864,865,866,867,868,873,874,877,883,884,885,886,887,888,889,890,891,892,
893,894,895,896,897,898,899,900,901,902,903,904,905,906,907,908,909,910,911,
912,913,914,915,916,917,918,919,920,921,922,923,924,925,926,927,928,929,930,
931,932,933,934,935,936,937,938,939,940,941,942,943,944,945,946,947,948,949,
950,951,952,953,954,955,956,957,958,959,960,961,962,963,964,965,966,967,968,
969,970,971,972,973,974,975,976,977,978,979,980,981,982,983,984,985,986,987,
988,989,990,991,992,993,994,995,996,997,998,999,1000,1001,1002,1013,1014,1017,
1022,1025,1030,1035,1036,1040,1041,1042,1045,1048,1052,1054,1055,1056,1057,
1059,1061,1062,1063,1064,1065,1068,1070,1072,1073,1075,1079,1081,1089,1090,
1097,1098,1099,1102,1103,1104,1105,1106,1107,1108,1109,1110,1111,1112,1113,
1114,1115,1116,1117,1118,1119,1120,1121,1122,1123,1124,1125,1126,1127,1128,
1129,1130,1131,1132,1133,1134,1135,1136,1137,1138,1139,1140,1141,1142,1143,
1144,1145,1146,1147,1148,1163,1165,1166,1173,1174,1177,1178,1183,1184,1185,
1188,1190,1192,1194,1196,1197,1200,1201,1202,1204,1207,1208,1210,1212,1213,
1214,1215,1219,1223,1227,1228,1232,1237,1238,1239,1240,1241,1242,1243,1244,
1245,1246,1247,1248,1249,1250,1251,1266,1269,1270,1275,1276,1279,1282,1283,
1290,1292,1293,1295,1304,1318,1323,1324,1325,1328,1329,1332,1333,1336,1338,
1340,1341,1343,1361,1364,1367,1371,1374,1395,1402],[1,2,3,4,5,6,7,8,9,10,11,
12,13,14,15,16,17,18,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,
40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,64,65,66,67,68,
69,70,71,72,73,76,78,79,81,83,84,85,86,87,88,89,90,91,92,93,94,95,98,100,102,
105,107,108,109,110,111,113,114,115,116,117,118,119,120,121,123,125,127,128,
131,132,133,134,135,137,140,141,143,148,149,152,153,154,155,156,157,158,159,
160,161,162,163,164,167,168,169,170,171,173,176,177,178,179,189,190,191,192,
193,194,195,196,197,198,200,201,202,203,204,205,206,207,208,210,211,212,213,
214,215,216,217,218,219,223,225,227,228,231,241,243,244,245,246,247,248,249,
250,251,252,253,258,263,264,265,266,267,269,270,271,272,273,274,275,276,277,
278,280,282,283,288,293,294,295,296,297,298,299,301,302,306,307,308,309,310,
311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,328,329,330,331,
332,333,334,335,336,341,342,343,344,345,346,347,350,352,353,358,359,362,363,
364,365,366,372,373,374,375,376,377,378,379,380,381,384,386,387,390,391,395,
396,399,400,401,404,405,406,407,408,417,419,422,425,427,431,439,440,441,442,
443,444,454,455,456,457,458,459,461,462,472,473,474,475,476,477,485,486,487,
489,506,507,508,515,516,517,518,519,520,521,522,524,525,526,527,528,529,530,
531,532,533,535,537,538,539,540,541,542,546,549,550,551,562,576,578,584,586,
593,594,595,596,597,601,602,603,604,608,610,614,617,618,619,620,621,622,623,
624,625,626,628,629,633,634,635,636,637,638,639,640,644,658,659,660,661,662,
663,664,673,676,677,686,687,688,689,698,699,700,701,711,712,719,725,726,727,
730,733,735,738,740,742,743,747,748,749,750,762,763,804,805,806,813,815,816,
823,825,826,827,828,829,830,832,834,835,838,840,841,842,843,845,846,868,871,
884,886,888,889,898,899,921,922,927,928,932,936,937,939,942,945,954,955,957,
962,967,969,1003,1005,1006,1007,1013,1014,1017,1018,1021,1022,1023,1025,1026,
1027,1028,1031,1032,1035,1036,1041,1042,1054,1055,1058,1063,1064,1065,1068,
1071,1079,1081,1083,1090,1095,1103,1104,1106,1107,1108,1112,1117,1155,1159,
1173,1174,1176,1177,1178,1181,1187,1201,1204,1232,1236,1237,1252,1253,1255,
1266,1267,1269,1271,1272,1273,1276,1279,1281,1305,1307,1315,1318,1319,1323,
1324,1325,1328,1339,1352,1354,1376,1378,1379,1395,1403],[1,2,3,4,5,6,7,8,9,10,
11,12,13,14,15,16,17,18,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,39,
40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,62,63,64,65,66,67,
68,70,72,73,74,75,76,77,79,81,83,84,85,86,87,88,89,90,91,92,93,94,95,99,100,
102,106,107,108,109,110,112,113,114,115,116,117,118,119,120,121,122,124,129,
130,131,132,133,134,135,136,138,139,142,147,150,152,153,154,155,156,157,158,
159,160,163,164,165,166,167,168,169,172,174,175,180,181,183,184,185,186,187,
188,190,191,192,193,194,195,198,200,201,202,203,204,205,207,208,209,210,211,
212,213,214,215,220,221,222,223,226,227,229,230,241,243,244,245,246,247,248,
249,250,252,254,255,260,263,264,265,267,268,269,270,271,272,273,274,275,276,
277,278,279,281,283,288,292,294,295,296,297,298,299,300,302,304,305,308,309,
310,311,312,313,314,315,316,317,318,319,320,321,323,324,326,327,328,329,330,
331,332,333,334,335,336,337,338,339,340,345,347,351,354,355,356,357,360,367,
368,369,370,371,372,373,374,375,376,377,378,379,382,383,384,385,387,388,389,
393,394,397,398,402,409,410,411,412,413,418,420,421,424,426,431,432,433,434,
436,437,438,439,440,441,451,452,453,460,463,469,470,471,478,479,480,488,490,
491,492,506,507,508,514,516,517,518,519,520,521,523,524,525,526,527,528,529,
530,532,533,534,536,541,543,544,545,546,547,548,549,556,557,561,577,579,585,
587,593,594,595,598,599,600,605,606,607,609,611,613,615,616,619,620,621,622,
623,624,625,626,627,630,631,632,635,636,637,641,642,643,645,665,666,667,668,
669,670,671,672,675,677,679,689,690,691,692,694,695,696,713,714,720,722,723,
724,731,732,736,737,739,744,745,751,752,753,754,760,761,803,805,806,814,817,
818,821,825,826,827,828,829,831,833,836,837,839,840,841,843,844,845,846,866,
872,883,885,888,889,900,901,919,920,925,926,931,934,935,939,943,946,948,949,
956,963,964,968,1004,1005,1006,1007,1013,1015,1016,1019,1021,1022,1024,1025,
1026,1027,1028,1029,1030,1033,1034,1037,1039,1053,1056,1057,1062,1063,1066,
1067,1072,1076,1078,1082,1091,1095,1102,1104,1105,1109,1110,1113,1114,1154,
1158,1172,1175,1176,1177,1179,1180,1188,1202,1203,1233,1236,1238,1252,1253,
1254,1266,1267,1268,1270,1272,1274,1277,1278,1282,1306,1308,1316,1317,1320,
1321,1322,1326,1327,1340,1353,1354,1375,1377,1380,1396,1404],[1,2,3,4,5,7,8,
13,14,15,17,18,19,21,22,23,24,25,26,31,43,46,57,58,60,63,66,74,75,77,78,80,81,
82,83,85,87,89,90,91,92,93,95,96,97,99,101,103,105,109,137,149,158,170,180,
184,187,201,222,230,234,235,238,239,242,243,250,254,255,257,258,259,260,262,
264,268,270,272,281,282,285,286,314,325,354,385,400,436,450,452,465,496,500,
507,508,511,513,515,518,521,522,527,530,535,545,547,552,560,565,567,571,575,
576,580,581,585,588,590,591,596,680,696,759,765,769,780,808,809,811,819,821,
822,831,842,843,852,857,858,869,874,876,879,881,984,1003,1006,1011,1014,1015,
1016,1023,1031,1032,1035,1046,1051,1066,1077,1078,1087,1088,1150,1153,1161,
1162,1165,1167,1168,1170,1206,1209,1224,1226,1228,1255,1256,1298,1299,1313,
1322,1350,1357,1360,1363,1386,1405],[1,2,3,4,5,6,8,9,11,14,17,18,19,21,22,23,
24,25,27,28,38,40,54,55,60,61,69,71,73,77,78,80,81,82,84,85,86,87,88,90,91,94,
95,96,97,98,101,103,106,107,136,150,160,161,165,179,197,208,218,228,232,236,
238,239,242,243,250,251,253,256,257,258,260,261,263,266,275,276,281,282,284,
286,318,326,352,386,398,435,454,457,466,497,501,506,508,511,513,514,519,520,
523,525,529,536,537,540,555,558,564,570,572,574,577,580,581,584,588,589,591,
598,678,699,758,767,770,777,807,809,812,820,823,824,830,844,845,850,859,861,
870,875,877,879,880,986,1004,1007,1012,1014,1015,1017,1024,1029,1030,1033,
1045,1052,1065,1080,1081,1086,1089,1149,1152,1160,1163,1164,1167,1168,1169,
1205,1208,1223,1225,1229,1254,1257,1297,1300,1314,1324,1351,1357,1361,1362,
1387,1406],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,22,23,24,25,26,
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,
79,80,81,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,
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,
238,239,241,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,
259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,
278,279,280,281,283,284,285,286,287,288,289,292,293,294,295,296,297,298,299,
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,
509,512,513,514,516,517,518,519,520,521,522,523,524,525,526,527,528,529,530,
531,532,533,534,536,537,538,539,540,541,542,543,544,545,546,547,548,549,550,
551,552,553,554,555,556,557,558,559,560,561,562,563,564,565,566,567,568,569,
570,571,572,573,574,577,578,579,581,582,583,585,587,593,594,595,596,597,598,
599,600,601,602,603,604,605,606,607,608,609,610,611,612,613,614,615,616,617,
618,619,620,621,622,623,624,625,626,627,628,629,630,631,632,633,634,635,636,
637,638,639,640,641,642,643,644,645,646,647,648,649,650,651,652,653,654,655,
656,657,658,659,660,661,662,663,664,665,666,667,668,669,670,671,672,673,674,
675,676,677,678,679,680,681,682,683,684,685,686,687,688,689,690,691,692,693,
694,695,696,697,698,699,700,701,702,703,704,705,706,707,708,709,710,711,712,
713,714,715,716,717,718,719,720,721,722,723,724,725,726,727,728,729,730,731,
732,733,734,735,736,737,738,739,740,741,742,743,744,745,746,747,748,749,750,
751,752,753,754,755,756,757,758,759,760,761,762,763,764,765,766,767,768,769,
770,771,772,773,774,775,776,777,778,779,780,781,782,783,784,785,786,787,788,
789,790,791,792,793,794,795,796,797,798,799,800,801,802,803,804,805,806,807,
808,809,813,814,815,816,817,818,820,821,822,823,824,825,826,827,828,829,831,
832,833,834,835,836,837,839,840,841,843,844,845,846,847,848,849,850,851,852,
853,854,855,856,857,858,859,860,861,862,863,864,865,866,867,868,870,872,873,
875,876,882,883,884,885,886,887,888,889,890,891,892,893,894,895,896,897,898,
899,900,901,902,903,904,905,906,907,908,909,910,911,912,913,914,915,916,917,
918,919,920,921,922,923,924,925,926,927,928,929,930,931,932,933,934,935,936,
937,938,939,940,941,942,943,944,945,946,947,948,949,950,951,952,953,954,955,
956,957,958,959,960,961,962,963,964,965,966,967,968,969,970,971,972,973,974,
975,976,977,978,979,980,981,982,983,984,985,986,987,988,989,990,991,992,993,
994,995,996,997,998,999,1000,1001,1002,1004,1005,1006,1007,1008,1009,1013,
1015,1016,1019,1021,1022,1024,1025,1026,1027,1028,1029,1030,1032,1033,1034,
1037,1038,1039,1040,1041,1042,1043,1044,1046,1047,1048,1049,1050,1051,1053,
1055,1056,1057,1058,1059,1060,1062,1063,1066,1067,1068,1069,1071,1072,1073,
1074,1075,1076,1078,1079,1080,1081,1082,1084,1086,1087,1089,1091,1093,1094,
1095,1096,1097,1098,1099,1102,1103,1104,1105,1106,1107,1108,1109,1110,1111,
1112,1113,1114,1115,1116,1117,1118,1119,1120,1121,1122,1123,1124,1125,1126,
1127,1128,1129,1130,1131,1132,1133,1134,1135,1136,1137,1138,1139,1140,1141,
1142,1143,1144,1145,1146,1147,1148,1149,1151,1152,1153,1154,1155,1158,1162,
1164,1166,1172,1173,1174,1175,1176,1177,1178,1179,1180,1182,1184,1185,1186,
1187,1188,1189,1191,1193,1194,1195,1197,1198,1199,1202,1203,1204,1205,1207,
1209,1210,1211,1212,1213,1214,1215,1216,1217,1218,1220,1222,1223,1225,1226,
1229,1230,1231,1233,1236,1237,1238,1239,1240,1241,1242,1243,1244,1245,1246,
1247,1248,1249,1250,1251,1252,1253,1254,1260,1261,1266,1267,1268,1270,1271,
1272,1274,1275,1276,1277,1278,1279,1280,1281,1282,1283,1284,1285,1288,1289,
1291,1292,1293,1296,1303,1304,1305,1306,1307,1308,1309,1310,1314,1316,1317,
1320,1321,1322,1325,1326,1327,1329,1330,1331,1333,1334,1335,1336,1337,1338,
1339,1340,1342,1343,1344,1345,1346,1353,1354,1355,1356,1358,1360,1365,1368,
1372,1373,1374,1375,1377,1378,1380,1382,1383,1385,1391,1393,1394,1396,1401,
1404,1407],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,22,23,24,25,26,
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,
79,80,81,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,
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,
238,239,241,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,
259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,
278,279,280,282,283,284,285,286,287,288,289,292,293,294,295,296,297,298,299,
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,
509,512,513,515,516,517,518,519,520,521,522,523,524,525,526,527,528,529,530,
531,532,533,534,535,537,538,539,540,541,542,543,544,545,546,547,548,549,550,
551,552,553,554,555,556,557,558,559,560,561,562,563,564,565,566,567,568,569,
570,571,572,573,575,576,578,579,580,582,583,584,586,593,594,595,596,597,598,
599,600,601,602,603,604,605,606,607,608,609,610,611,612,613,614,615,616,617,
618,619,620,621,622,623,624,625,626,627,628,629,630,631,632,633,634,635,636,
637,638,639,640,641,642,643,644,645,646,647,648,649,650,651,652,653,654,655,
656,657,658,659,660,661,662,663,664,665,666,667,668,669,670,671,672,673,674,
675,676,677,678,679,680,681,682,683,684,685,686,687,688,689,690,691,692,693,
694,695,696,697,698,699,700,701,702,703,704,705,706,707,708,709,710,711,712,
713,714,715,716,717,718,719,720,721,722,723,724,725,726,727,728,729,730,731,
732,733,734,735,736,737,738,739,740,741,742,743,744,745,746,747,748,749,750,
751,752,753,754,755,756,757,758,759,760,761,762,763,764,765,766,767,768,769,
770,771,772,773,774,775,776,777,778,779,780,781,782,783,784,785,786,787,788,
789,790,791,792,793,794,795,796,797,798,799,800,801,802,803,804,805,806,807,
808,809,813,814,815,816,817,818,819,821,822,823,824,825,826,827,828,829,830,
832,833,834,835,836,837,838,840,841,842,843,845,846,847,848,849,850,851,852,
853,854,855,856,857,858,859,860,861,862,863,864,865,866,867,868,869,871,873,
874,877,882,883,884,885,886,887,888,889,890,891,892,893,894,895,896,897,898,
899,900,901,902,903,904,905,906,907,908,909,910,911,912,913,914,915,916,917,
918,919,920,921,922,923,924,925,926,927,928,929,930,931,932,933,934,935,936,
937,938,939,940,941,942,943,944,945,946,947,948,949,950,951,952,953,954,955,
956,957,958,959,960,961,962,963,964,965,966,967,968,969,970,971,972,973,974,
975,976,977,978,979,980,981,982,983,984,985,986,987,988,989,990,991,992,993,
994,995,996,997,998,999,1000,1001,1002,1003,1005,1006,1007,1008,1009,1013,
1014,1017,1018,1021,1022,1023,1025,1026,1027,1028,1030,1031,1032,1035,1036,
1037,1038,1039,1040,1041,1042,1043,1044,1045,1047,1048,1049,1050,1052,1054,
1055,1056,1057,1058,1059,1061,1062,1063,1064,1065,1068,1070,1071,1072,1073,
1074,1075,1076,1077,1078,1079,1081,1083,1085,1087,1088,1089,1090,1092,1094,
1095,1096,1097,1098,1099,1102,1103,1104,1105,1106,1107,1108,1109,1110,1111,
1112,1113,1114,1115,1116,1117,1118,1119,1120,1121,1122,1123,1124,1125,1126,
1127,1128,1129,1130,1131,1132,1133,1134,1135,1136,1137,1138,1139,1140,1141,
1142,1143,1144,1145,1146,1147,1148,1150,1151,1152,1153,1154,1155,1159,1163,
1165,1166,1172,1173,1174,1175,1176,1177,1178,1179,1181,1183,1184,1185,1186,
1187,1188,1190,1192,1193,1194,1196,1197,1198,1200,1201,1202,1204,1206,1207,
1208,1210,1211,1212,1213,1214,1215,1216,1217,1218,1219,1221,1223,1224,1226,
1227,1228,1231,1232,1236,1237,1238,1239,1240,1241,1242,1243,1244,1245,1246,
1247,1248,1249,1250,1251,1252,1253,1255,1260,1262,1266,1267,1269,1270,1271,
1272,1273,1275,1276,1277,1278,1279,1280,1281,1282,1283,1284,1286,1287,1290,
1291,1292,1293,1295,1303,1304,1305,1306,1307,1308,1309,1310,1313,1315,1318,
1319,1323,1324,1325,1326,1328,1329,1330,1332,1333,1334,1335,1336,1337,1338,
1339,1340,1341,1343,1344,1345,1347,1352,1354,1355,1356,1359,1361,1364,1367,
1371,1373,1374,1376,1377,1378,1379,1381,1384,1385,1390,1392,1394,1395,1402,
1403,1408],[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,
78,79,80,81,82,83,84,85,87,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,
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,
237,238,239,240,241,242,243,246,247,248,249,250,251,252,253,254,255,257,258,
259,260,262,263,264,265,266,267,268,269,270,271,272,274,276,277,279,280,281,
282,283,284,285,286,287,288,289,290,292,293,294,295,296,297,298,299,300,301,
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,
492,493,494,495,496,497,498,499,500,501,502,503,504,505,507,508,509,510,511,
513,515,516,517,518,521,522,523,524,527,528,529,530,531,532,533,534,535,537,
538,539,540,541,542,543,544,545,546,547,548,549,550,551,552,553,556,557,558,
559,560,561,562,563,564,565,566,567,568,571,572,573,574,575,576,577,578,579,
580,581,582,583,584,585,587,588,590,591,592,594,595,596,597,598,599,600,601,
602,603,604,605,606,607,608,609,610,611,612,613,614,615,616,617,618,619,620,
621,622,623,624,625,626,627,628,629,630,631,632,633,634,635,636,637,638,639,
640,641,642,643,644,645,646,647,648,649,650,651,652,653,654,655,656,657,658,
659,660,661,662,663,664,665,666,667,668,669,670,671,672,673,674,675,676,677,
678,679,680,681,682,683,684,685,686,687,688,689,690,691,692,693,694,695,696,
697,698,699,700,701,702,703,704,705,706,707,708,709,710,711,712,713,714,715,
716,717,718,719,720,721,722,723,724,725,726,727,728,729,730,731,732,733,734,
735,736,737,738,739,740,741,742,743,744,745,746,747,748,749,750,751,752,753,
754,755,756,757,758,759,760,761,762,763,764,765,766,767,768,769,770,771,772,
773,774,775,776,777,778,779,780,781,782,783,784,785,786,787,788,789,790,791,
792,793,794,795,796,797,798,799,800,801,802,804,806,808,809,810,811,813,814,
815,816,817,818,819,821,822,825,826,827,829,830,831,832,833,834,835,836,837,
838,840,841,842,843,847,848,849,850,851,852,853,854,855,856,857,858,859,862,
863,864,865,866,867,868,869,871,873,874,875,876,877,878,879,881,883,884,885,
886,887,888,889,890,891,892,893,894,895,896,897,898,899,900,901,902,903,904,
905,906,907,908,909,910,911,912,913,914,915,916,917,918,919,920,921,922,923,
924,925,926,927,928,929,930,931,932,933,934,935,936,937,938,939,940,941,942,
943,944,945,946,947,948,949,950,951,952,953,954,955,956,957,958,959,960,961,
962,963,964,965,966,967,968,969,970,971,972,973,974,975,976,977,978,979,980,
981,982,983,984,985,986,987,988,989,990,991,992,993,994,995,996,997,998,999,
1000,1001,1002,1003,1005,1006,1008,1011,1013,1014,1015,1016,1017,1020,1021,
1023,1025,1026,1027,1031,1032,1033,1034,1035,1036,1037,1038,1039,1040,1041,
1042,1044,1045,1046,1047,1048,1050,1051,1052,1053,1054,1055,1056,1057,1058,
1059,1060,1061,1062,1063,1064,1065,1066,1067,1068,1069,1070,1071,1072,1073,
1074,1075,1076,1077,1078,1079,1083,1085,1087,1088,1090,1091,1092,1097,1098,
1099,1100,1102,1103,1104,1105,1106,1107,1108,1109,1110,1111,1112,1113,1114,
1115,1116,1117,1118,1119,1120,1121,1122,1123,1124,1125,1126,1127,1128,1129,
1130,1131,1132,1133,1134,1135,1136,1137,1138,1139,1140,1141,1142,1143,1144,
1145,1146,1147,1148,1150,1151,1153,1154,1155,1157,1159,1161,1162,1163,1164,
1165,1166,1167,1168,1170,1171,1172,1175,1176,1178,1179,1181,1182,1183,1184,
1185,1186,1187,1188,1189,1190,1191,1192,1193,1194,1195,1196,1197,1198,1199,
1200,1201,1202,1203,1204,1206,1207,1208,1209,1210,1211,1212,1213,1214,1215,
1216,1217,1219,1220,1221,1224,1226,1227,1228,1229,1230,1233,1234,1237,1238,
1239,1240,1241,1242,1243,1244,1245,1246,1247,1248,1249,1250,1251,1253,1255,
1256,1259,1260,1262,1264,1265,1267,1268,1269,1271,1273,1277,1278,1280,1281,
1284,1286,1287,1289,1290,1291,1292,1293,1294,1296,1298,1299,1301,1304,1306,
1307,1309,1312,1313,1317,1321,1322,1323,1326,1327,1328,1330,1331,1332,1334,
1335,1337,1339,1341,1342,1344,1347,1348,1350,1352,1355,1357,1360,1362,1363,
1364,1365,1366,1368,1369,1371,1372,1373,1379,1381,1384,1386,1388,1392,1396,
1398,1399,1400,1401,1405,1409],[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,
71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,90,91,93,94,95,96,97,98,
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,
232,233,234,235,236,237,238,239,240,241,242,243,246,247,248,249,250,251,252,
253,254,255,256,257,258,260,261,263,264,265,266,267,268,271,272,273,274,275,
276,278,279,280,281,282,283,284,285,286,287,288,289,290,292,293,294,295,296,
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,
506,508,509,510,511,513,514,516,517,519,520,522,523,524,525,526,529,530,531,
532,533,534,536,537,538,539,540,541,542,543,544,545,546,547,548,549,550,551,
552,553,554,555,556,557,558,561,562,563,564,565,566,569,570,571,572,573,574,
575,576,577,578,579,580,581,582,583,584,585,586,588,589,591,592,594,595,596,
597,598,599,600,601,602,603,604,605,606,607,608,609,610,611,612,613,614,615,
616,617,618,619,620,621,622,623,624,625,626,627,628,629,630,631,632,633,634,
635,636,637,638,639,640,641,642,643,644,645,646,647,648,649,650,651,652,653,
654,655,656,657,658,659,660,661,662,663,664,665,666,667,668,669,670,671,672,
673,674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,689,690,691,
692,693,694,695,696,697,698,699,700,701,702,703,704,705,706,707,708,709,710,
711,712,713,714,715,716,717,718,719,720,721,722,723,724,725,726,727,728,729,
730,731,732,733,734,735,736,737,738,739,740,741,742,743,744,745,746,747,748,
749,750,751,752,753,754,755,756,757,758,759,760,761,762,763,764,765,766,767,
768,769,770,771,772,773,774,775,776,777,778,779,780,781,782,783,784,785,786,
787,788,789,790,791,792,793,794,795,796,797,798,799,800,801,802,803,805,807,
809,810,812,813,814,815,816,817,818,820,823,824,825,826,828,829,830,831,832,
833,834,835,836,837,839,840,841,844,845,847,848,849,850,851,852,853,854,855,
858,859,860,861,862,863,864,865,866,867,868,870,872,873,874,875,876,877,878,
879,880,883,884,885,886,887,888,889,890,891,892,893,894,895,896,897,898,899,
900,901,902,903,904,905,906,907,908,909,910,911,912,913,914,915,916,917,918,
919,920,921,922,923,924,925,926,927,928,929,930,931,932,933,934,935,936,937,
938,939,940,941,942,943,944,945,946,947,948,949,950,951,952,953,954,955,956,
957,958,959,960,961,962,963,964,965,966,967,968,969,970,971,972,973,974,975,
976,977,978,979,980,981,982,983,984,985,986,987,988,989,990,991,992,993,994,
995,996,997,998,999,1000,1001,1002,1004,1005,1007,1009,1012,1013,1014,1015,
1016,1017,1020,1022,1024,1025,1026,1028,1029,1030,1033,1034,1035,1036,1037,
1038,1039,1040,1041,1042,1043,1045,1046,1047,1048,1049,1051,1052,1053,1054,
1055,1056,1057,1058,1059,1060,1061,1062,1063,1064,1065,1066,1067,1068,1069,
1070,1071,1072,1073,1074,1075,1076,1079,1080,1081,1082,1084,1086,1089,1090,
1091,1093,1097,1098,1099,1101,1102,1103,1104,1105,1106,1107,1108,1109,1110,
1111,1112,1113,1114,1115,1116,1117,1118,1119,1120,1121,1122,1123,1124,1125,
1126,1127,1128,1129,1130,1131,1132,1133,1134,1135,1136,1137,1138,1139,1140,
1141,1142,1143,1144,1145,1146,1147,1148,1149,1151,1152,1154,1155,1156,1158,
1160,1162,1163,1164,1165,1166,1167,1168,1169,1171,1173,1174,1177,1178,1179,
1180,1182,1183,1184,1185,1186,1187,1188,1189,1190,1191,1192,1193,1194,1195,
1196,1197,1198,1199,1200,1201,1202,1203,1204,1205,1207,1208,1209,1210,1211,
1212,1213,1214,1215,1216,1218,1219,1220,1222,1223,1225,1227,1228,1229,1230,
1232,1235,1237,1238,1239,1240,1241,1242,1243,1244,1245,1246,1247,1248,1249,
1250,1251,1252,1254,1257,1258,1260,1261,1263,1264,1266,1268,1269,1270,1274,
1275,1276,1279,1282,1283,1285,1288,1289,1290,1291,1292,1293,1294,1295,1297,
1300,1302,1304,1305,1308,1310,1311,1314,1318,1321,1323,1324,1325,1327,1328,
1329,1331,1332,1333,1336,1338,1340,1341,1342,1343,1346,1349,1351,1353,1356,
1357,1361,1362,1363,1364,1365,1366,1367,1370,1371,1372,1374,1380,1382,1383,
1387,1389,1393,1395,1397,1399,1400,1402,1406,1410],[1,2,3,4,5,6,7,8,9,10,11,
12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,
38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,
64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,
90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,
112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,
131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,
150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,
169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,
188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,
207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,
226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,
245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,
264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,
283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,
302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,
321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,
340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,
359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,374,375,376,377,
378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,394,395,396,
397,398,399,400,401,402,403,404,405,406,407,408,409,410,411,412,413,414,415,
416,417,418,419,420,421,422,423,424,425,426,427,428,429,430,431,432,433,434,
435,436,437,438,439,440,441,442,443,444,445,446,447,448,449,450,451,452,453,
454,455,456,457,458,459,460,461,462,463,464,465,466,467,468,469,470,471,472,
473,474,475,476,477,478,479,480,481,482,483,484,485,486,487,488,489,490,491,
492,493,494,495,496,497,498,499,500,501,502,503,504,505,506,507,508,509,510,
511,512,513,514,515,516,517,518,519,520,521,522,523,524,525,526,527,528,529,
530,531,532,533,534,535,536,537,538,539,540,541,542,543,544,545,546,547,548,
549,550,551,552,553,554,555,556,557,558,559,560,561,562,563,564,565,566,567,
568,569,570,571,572,573,574,575,576,577,578,579,580,581,582,583,584,585,586,
587,588,589,590,591,592,593,594,595,596,597,598,599,600,601,602,603,604,605,
606,607,608,609,610,611,612,613,614,615,616,617,618,619,620,621,622,623,624,
625,626,627,628,629,630,631,632,633,634,635,636,637,638,639,640,641,642,643,
644,645,646,647,648,649,650,651,652,653,654,655,656,657,658,659,660,661,662,
663,664,665,666,667,668,669,670,671,672,673,674,675,676,677,678,679,680,681,
682,683,684,685,686,687,688,689,690,691,692,693,694,695,696,697,698,699,700,
701,702,703,704,705,706,707,708,709,710,711,712,713,714,715,716,717,718,719,
720,721,722,723,724,725,726,727,728,729,730,731,732,733,734,735,736,737,738,
739,740,741,742,743,744,745,746,747,748,749,750,751,752,753,754,755,756,757,
758,759,760,761,762,763,764,765,766,767,768,769,770,771,772,773,774,775,776,
777,778,779,780,781,782,783,784,785,786,787,788,789,790,791,792,793,794,795,
796,797,798,799,800,801,802,803,804,805,806,807,808,809,810,811,812,813,814,
815,816,817,818,819,820,821,822,823,824,825,826,827,828,829,830,831,832,833,
834,835,836,837,838,839,840,841,842,843,844,845,846,847,848,849,850,851,852,
853,854,855,856,857,858,859,860,861,862,863,864,865,866,867,868,869,870,871,
872,873,874,875,876,877,878,879,880,881,882,883,884,885,886,887,888,889,890,
891,892,893,894,895,896,897,898,899,900,901,902,903,904,905,906,907,908,909,
910,911,912,913,914,915,916,917,918,919,920,921,922,923,924,925,926,927,928,
929,930,931,932,933,934,935,936,937,938,939,940,941,942,943,944,945,946,947,
948,949,950,951,952,953,954,955,956,957,958,959,960,961,962,963,964,965,966,
967,968,969,970,971,972,973,974,975,976,977,978,979,980,981,982,983,984,985,
986,987,988,989,990,991,992,993,994,995,996,997,998,999,1000,1001,1002,1003,
1004,1005,1006,1007,1008,1009,1010,1011,1012,1013,1014,1015,1016,1017,1018,
1019,1020,1021,1022,1023,1024,1025,1026,1027,1028,1029,1030,1031,1032,1033,
1034,1035,1036,1037,1038,1039,1040,1041,1042,1043,1044,1045,1046,1047,1048,
1049,1050,1051,1052,1053,1054,1055,1056,1057,1058,1059,1060,1061,1062,1063,
1064,1065,1066,1067,1068,1069,1070,1071,1072,1073,1074,1075,1076,1077,1078,
1079,1080,1081,1082,1083,1084,1085,1086,1087,1088,1089,1090,1091,1092,1093,
1094,1095,1096,1097,1098,1099,1100,1101,1102,1103,1104,1105,1106,1107,1108,
1109,1110,1111,1112,1113,1114,1115,1116,1117,1118,1119,1120,1121,1122,1123,
1124,1125,1126,1127,1128,1129,1130,1131,1132,1133,1134,1135,1136,1137,1138,
1139,1140,1141,1142,1143,1144,1145,1146,1147,1148,1149,1150,1151,1152,1153,
1154,1155,1156,1157,1158,1159,1160,1161,1162,1163,1164,1165,1166,1167,1168,
1169,1170,1171,1172,1173,1174,1175,1176,1177,1178,1179,1180,1181,1182,1183,
1184,1185,1186,1187,1188,1189,1190,1191,1192,1193,1194,1195,1196,1197,1198,
1199,1200,1201,1202,1203,1204,1205,1206,1207,1208,1209,1210,1211,1212,1213,
1214,1215,1216,1217,1218,1219,1220,1221,1222,1223,1224,1225,1226,1227,1228,
1229,1230,1231,1232,1233,1234,1235,1236,1237,1238,1239,1240,1241,1242,1243,
1244,1245,1246,1247,1248,1249,1250,1251,1252,1253,1254,1255,1256,1257,1258,
1259,1260,1261,1262,1263,1264,1265,1266,1267,1268,1269,1270,1271,1272,1273,
1274,1275,1276,1277,1278,1279,1280,1281,1282,1283,1284,1285,1286,1287,1288,
1289,1290,1291,1292,1293,1294,1295,1296,1297,1298,1299,1300,1301,1302,1303,
1304,1305,1306,1307,1308,1309,1310,1311,1312,1313,1314,1315,1316,1317,1318,
1319,1320,1321,1322,1323,1324,1325,1326,1327,1328,1329,1330,1331,1332,1333,
1334,1335,1336,1337,1338,1339,1340,1341,1342,1343,1344,1345,1346,1347,1348,
1349,1350,1351,1352,1353,1354,1355,1356,1357,1358,1359,1360,1361,1362,1363,
1364,1365,1366,1367,1368,1369,1370,1371,1372,1373,1374,1375,1376,1377,1378,
1379,1380,1381,1382,1383,1384,1385,1386,1387,1388,1389,1390,1391,1392,1393,
1394,1395,1396,1397,1398,1399,1400,1401,1402,1403,1404,1405,1406,1407,1408,
1409,1410,1411]],
0,[[1],[1,1],[1,1],[1,1],[1,1],[1,3,1],[1,3,1],[1,3,1],[1,3,1],[1,1,2,1],[1,1,
2,1],[1,2,1,1],[1,3,1],[1,3,1],[1,1,2,1],[1,1,1],[1,1,1],[1,1,1],[1,1],[1,3,1,
1],[1,3,1,1],[1,3,1,1],[1,1,1,1],[1,1,1,1],[1,1],[1,7,7,1],[1,7,7,1],[1,3,4,1,
6,1],[1,3,4,1,3,3,1],[1,3,4,1,3,3,1],[1,3,4,1,6,1],[1,3,4,1,2,4,1],[1,3,4,3,1,
3,1],[1,7,7,1],[1,7,7,1],[1,3,4,1,2,4,1],[1,1,6,3,4,1],[1,1,6,3,4,1],[1,1,6,4,
1,2,1],[1,1,6,1,3,3,1],[1,5,2,1,1,1,4,1],[1,1,6,1,4,2,1],[1,1,6,1,3,3,1],[1,4,
3,1,3,3,1],[1,4,3,1,3,3,1],[1,1,6,4,3,1],[1,2,5,2,1,3,1,1],[1,2,5,1,1,2,3,1],[
1,5,1,1,1,1],[1,3,2,1,1,1,1],[1,3,2,1,1,1,1],[1,1,4,2,1,1],[1,1,4,1,1,1,1],[1,
1,4,2,1,1],[1,3,2,1,1,1,1],[1,1,4,1,1,1,1],[1,1,4,2,1,1],[1,3,2,1,1,1,1],[1,2,
3,1,1,1,1],[1,5,1,1,1,1],[1,5,1,1,1,1],[1,1,4,1,1,1,1],[1,5,1,1,1,1],[1,1,2,1,
2,1],[1,1,2,1,2,1],[1,3,1,2,1],[1,3,1,2,1],[1,1,2,1,2,1],[1,1,2,1,2,1],[1,1,2,
1,2,1],[1,1,2,1,2,1],[1,3,1,2,1],[1,3,1,2,1],[1,1,2,1,2,1],[1,1,2,1,2,1],[1,2,
1,1,1,1,1],[1,1,3,1],[1,1,3,1],[1,1,3,1],[1,1,1,1],[1,2,2,1],[1,5,1,1],[1,3,4,
1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[
1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,1,1,3,1],[1,3,1,1,3,1],[1,3,1,1,3,1],[
1,1,1,3,1,1],[1,1,1,3,1,1],[1,1,6,1,3,2,1,1],[1,1,6,1,3,2,1,1],[1,4,3,1,3,1,1,
1,1],[1,7,1,3,2,1,1],[1,1,1,1,1,1],[1,1,1,1],[1,1,1,1],[1,15,35,15,1],[1,15,
35,15,1],[1,3,12,1,4,12,18,3,12,1],[1,3,12,1,16,3,12,3,1,2,3,3,6,1],[1,3,12,1,
4,12,18,3,12,1],[1,3,12,1,3,3,16,12,1,2,3,3,6,1],[1,3,12,1,6,12,16,3,4,8,1],[
1,3,12,1,6,16,12,3,4,8,1],[1,9,6,7,1,3,12,12,1,3,3,8,1],[1,9,6,1,7,3,12,12,1,
3,3,8,1],[1,9,6,3,3,2,9,18,6,9,1],[1,5,10,1,1,5,4,8,16,2,2,1,2,8,1],[1,5,10,1,
1,4,7,8,14,1,1,2,1,2,2,6,1],[1,5,10,1,1,8,5,16,4,2,2,2,1,8,1],[1,5,10,1,1,8,4,
14,7,1,2,1,1,2,2,6,1],[1,7,8,1,2,4,2,14,12,1,4,2,4,4,1],[1,7,8,2,1,2,12,4,14,
1,4,2,4,4,1],[1,7,7,4,1,6,1],[1,7,7,4,1,6,1],[1,3,4,1,2,4,4,1,4,2,1],[1,3,4,1,
2,4,4,1,4,2,1],[1,1,6,3,4,4,1,3,3,1],[1,3,4,1,2,4,4,1,2,4,1],[1,3,4,1,2,4,4,1,
2,4,1],[1,3,4,1,2,4,4,1,2,4,1],[1,3,4,1,2,4,4,1,2,4,1],[1,5,2,1,1,1,4,4,1,2,2,
2,1],[1,3,4,1,3,3,2,2,1,1,1,4,1],[1,5,2,1,1,1,4,4,1,2,2,2,1],[1,5,2,1,1,1,4,2,
2,1,1,1,4,1],[1,5,2,1,1,1,4,2,2,1,1,1,4,1],[1,3,1,6,3,1],[1,3,1,6,3,1],[1,3,1,
4,2,2,1,1],[1,3,1,4,2,2,1,1],[1,3,1,4,2,1,2,1],[1,3,1,4,2,1,2,1],[1,3,1,2,4,1,
2,1],[1,3,1,2,4,2,1,1],[1,1,2,1,2,4,1,2,1],[1,1,2,1,2,4,1,2,1],[1,1,2,1,2,2,2,
1,1,1,1],[1,3,1,6,3,4,1],[1,3,1,6,3,4,1],[1,3,1,6,3,4,1],[1,3,1,6,3,4,1],[1,1,
2,1,6,1,2,4,1],[1,5,2,1,1,1,4,4,1,2,1],[1,5,2,1,1,1,4,4,1,2,1],[1,3,4,1,6,2,2,
1,1,1,1],[1,3,4,1,6,2,2,1,1,1,1],[1,5,2,1,1,1,4,4,1,2,1],[1,3,4,1,3,3,2,2,1,1,
1,1],[1,3,4,1,6,4,1,2,1],[1,5,2,1,1,1,4,4,1,2,1],[1,3,4,1,6,4,1,2,1],[1,3,4,1,
6,4,1,2,1],[1,3,4,1,3,3,2,2,1,1,1,1],[1,3,4,1,6,4,1,2,1],[1,5,2,1,1,1,4,2,2,1,
1,1,1],[1,7,7,4,1,2,1],[1,3,4,1,2,4,4,1,2,1],[1,5,2,1,1,1,4,4,1,2,1],[1,3,4,1,
6,4,1,2,1],[1,5,2,1,1,1,4,2,2,1,1,1,1],[1,7,7,4,1,2,1],[1,3,4,1,2,4,4,1,2,1],[
1,3,4,1,2,4,2,2,1,1,1,1],[1,3,4,1,2,4,2,2,1,1,1,1],[1,3,4,1,2,4,4,1,2,1],[1,1,
6,1,4,2,2,2,1,1,1,1],[1,3,4,1,2,4,4,1,2,1],[1,1,6,4,1,2,2,2,1,1,1,1],[1,1,6,4,
1,2,4,1,2,1],[1,1,6,1,3,3,2,2,1,1,1,1],[1,3,4,1,6,4,1,2,1],[1,3,4,3,1,3,2,2,1,
1,1,1],[1,1,6,3,4,2,2,1,1,1,1],[1,1,6,1,4,2,4,1,2,1],[1,1,6,1,3,3,2,2,1,1,1,
1],[1,7,4,7,2,4,2,1,1,4,1,1],[1,3,8,1,4,8,2,2,4,1,1],[1,3,8,1,4,8,2,1,1,2,2,1,
1],[1,3,8,3,1,4,5,2,1,1,2,2,1,1],[1,3,8,1,4,8,2,2,4,1,1],[1,3,8,1,2,4,6,2,1,1,
4,1,1],[1,3,8,1,2,6,4,2,1,1,4,1,1],[1,3,8,1,4,2,2,4,2,1,1,2,2,1,1],[1,3,8,1,2,
4,4,2,2,1,1,2,2,1,1],[1,1,10,4,1,2,4,2,2,1,1,4,1,1],[1,3,8,1,5,3,4,2,1,1,2,2,
1,1],[1,3,8,1,5,3,4,2,1,1,2,2,1,1],[1,3,8,1,8,4,2,1,1,2,2,1,1],[1,2,9,2,2,3,1,
2,3,1,1,1,1,1,1,1,1,1,1],[1,1,10,5,8,2,2,4,1,1],[1,5,6,1,1,3,4,4,2,1,1,2,2,1,
1],[1,7,4,7,6,2,1,1,4,1,1],[1,5,6,1,1,3,4,4,2,1,1,2,2,1,1],[1,5,6,1,1,3,4,4,2,
1,1,1,1,1,1,1,1],[1,5,6,1,1,3,4,4,2,1,1,2,2,1,1],[1,9,2,1,7,1,4,2,1,1,2,2,1,
1],[1,7,4,7,2,4,2,1,1,4,1,1],[1,9,2,7,1,1,4,2,1,1,2,2,1,1],[1,7,4,7,6,2,1,1,4,
1,1],[1,3,8,1,4,4,4,2,1,1,2,2,1,1],[1,3,8,1,2,4,6,2,1,1,4,1,1],[1,5,6,1,1,3,4,
4,2,1,1,2,2,1,1],[1,4,7,1,1,3,3,2,3,1,1,1,1,1,1,1,1,1,1],[1,5,6,1,1,3,4,4,2,1,
1,2,2,1,1],[1,3,8,1,2,6,4,2,1,1,4,1,1],[1,4,7,1,2,1,3,3,3,1,1,1,1,1,1,1,1,1,
1],[1,3,8,1,4,4,4,2,1,1,2,2,1,1],[1,1,10,4,3,2,4,2,1,1,4,1,1],[1,1,10,1,3,5,4,
2,1,1,2,2,1,1],[1,1,10,4,1,4,4,2,1,1,2,2,1,1],[1,1,10,3,4,4,2,2,1,1,4,1,1],[1,
1,10,1,4,4,4,2,1,1,2,2,1,1],[1,1,10,1,3,4,5,2,1,1,2,2,1,1],[1,6,5,1,1,3,5,3,1,
1,1,1,1,1,1,1,1,1],[1,1,6,3,4,3,3,1,1],[1,3,4,1,2,4,2,1,1,1,1,1,1],[1,1,6,1,2,
4,2,1,1,2,1,1],[1,5,2,1,1,1,4,1,1,1,1,1,1,1,1],[1,3,4,1,2,4,1,2,2,1,1,1],[1,3,
4,1,2,4,2,1,1,1,1,1,1],[1,3,4,1,2,4,1,2,1,2,1,1],[1,1,6,1,2,4,2,1,1,2,1,1],[1,
3,1,2,1,2,1],[1,1,2,1,2,1,2,1],[1,3,1,2,1,2,1],[1,1,4,2,3,1,1,1,1],[1,1,4,2,3,
1,1,1,1],[1,1,8,2,2,1,1,1,1,1],[1,1,5,1,1,1,1],[1,9,2,2,6,6,1,1],[1,3,2,2,1,3,
1,1],[1,3,2,2,1,3,1,1],[1,5,5,1,1,1],[1,7,1,1],[1,7,1,1],[1,1,1,1],[1,9,4,1,3,
3,4,3,1,1],[1,9,4,3,1,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,
1],[1,9,4,3,1,3,4,3,1,1],[1,9,4,3,1,3,4,3,1,1],[1,6,3,4,3,1,3,4,3,1,1],[1,3,6,
4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,9,4,3,1,3,4,3,1,1],[1,9,4,1,3,3,4,
3,1,1],[1,9,4,1,3,3,4,3,1,1],[1,9,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,
9,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,9,4,1,3,3,4,3,1,1],[1,7,4,7,4,1,
1,1],[1,7,4,7,4,1,1,1],[1,1,6,4,3,4,4,1,1,1],[1,1,6,4,3,4,4,1,1,1],[1,4,3,4,1,
3,3,4,1,1,1],[1,1,6,4,4,3,4,1,1,1],[1,3,4,4,3,1,3,4,1,1,1],[1,3,4,4,1,6,4,1,1,
1],[1,4,3,4,1,3,3,4,1,1,1],[1,1,6,4,1,3,3,4,1,1,1],[1,3,4,4,1,3,3,4,1,1,1],[1,
3,4,4,1,3,3,4,1,1,1],[1,3,4,4,1,6,4,1,1,1],[1,1,6,4,1,3,3,4,1,1,1],[1,7,4,7,4,
1,1,1],[1,7,4,7,4,1,1,1],[1,6,9,1,1,9,9,1,3,3,3,1,3,3,1],[1,6,9,1,1,9,9,1,3,3,
3,1,3,3,1],[1,1,4,3,4,1,1],[1,1,4,3,4,1,1],[1,1,4,3,4,1,1],[1,3,6,1,1,3,3,2,3,
3,1,1,1,1],[1,3,6,1,1,3,3,2,3,3,1,1,1,1],[1,9,1,1,3,3,2,3,3,1,1,1,1],[1,4,3,1,
3,1,3,1,1,1,3,1,1,1,1],[1,5,1,1,1,1,5,1,1,1,1,1],[1,1,12,1,3,3,1,4,1,3,1,1,1,
1],[1,5,1,1,5,1,1,1],[1,1],[1,17,6,35,1,3,12,12,4,15,3,3,8,4,12,6,1,1,1,6,6,
1],[1,17,6,1,35,3,12,12,4,15,3,3,8,4,12,6,1,1,1,6,6,1],[1,9,14,1,7,7,12,12,8,
16,4,1,2,2,3,3,2,8,8,8,8,2,2,2,1,1,1,2,4,2,4,1],[1,9,14,7,1,8,7,16,12,12,4,1,
2,3,2,2,3,8,8,8,8,2,2,2,1,1,1,2,4,2,4,1],[1,5,18,1,1,8,9,16,4,8,16,4,2,2,2,2,
2,1,2,8,8,16,2,2,2,1,1,1,4,4,4,1],[1,7,16,1,2,4,6,14,12,8,16,2,2,1,4,2,2,2,2,
4,4,8,2,2,4,2,2,4,1,1,4,1,1,1,1,4,1,4,1,1,1],[1,7,16,2,1,8,6,16,12,4,14,2,2,2,
1,4,2,2,2,4,8,4,2,2,2,2,4,4,1,1,4,1,1,1,1,4,1,1,1,4,1],[1,7,16,1,1,1,8,5,14,
11,8,14,2,2,1,2,1,2,1,1,2,1,2,2,2,6,6,1,1,1,1,2,2,2,2,4,1,1,4,1,1,1,1,1,1,2,1,
2,2,2,1],[1,9,14,7,1,7,12,16,20,4,1,5,4,3,8,8,4,8,4,4,2,1,1,1,2,2,4,4,1],[1,9,
14,1,7,7,20,12,16,4,1,5,4,8,3,8,8,4,4,4,2,1,1,1,2,4,2,4,1],[1,13,10,7,7,5,12,
20,12,4,1,1,3,3,5,8,8,4,4,4,4,2,2,2,1,1,1,2,2,4,2,2,1],[1,5,18,1,1,9,12,28,12,
4,3,3,7,8,8,1,3,3,9,3,3,1,1,1,3,3,3,3,1],[1,5,18,1,1,9,4,8,16,24,4,2,4,4,1,2,
8,8,4,8,4,2,4,1,1,1,2,4,2,4,1],[1,5,18,1,1,8,7,8,16,22,4,1,3,2,4,1,2,2,8,6,4,
4,8,2,4,1,1,1,4,2,2,4,1],[1,5,18,1,1,8,9,24,4,16,4,2,4,4,8,2,1,8,4,8,4,2,4,1,
1,1,2,4,2,4,1],[1,5,18,1,1,8,8,22,7,16,4,1,2,3,4,8,1,2,2,6,4,4,8,2,4,1,1,1,2,
4,2,4,1],[1,11,12,2,7,4,12,20,4,14,2,2,1,1,4,3,4,8,4,4,2,2,2,2,4,4,1,1,4,1,1,
1,1,1,1,1,4,4,1],[1,11,12,7,2,4,4,14,20,12,2,2,1,1,4,3,4,4,8,4,2,2,4,2,2,4,1,
1,4,1,1,1,1,1,1,1,4,4,1],[1,13,18,3,9,2,24,15,60,42,1,6,6,24,9,6,8,15,32,48,3,
1,3,12,12,1],[1,13,18,9,3,2,15,42,24,60,1,6,6,9,24,15,6,8,32,48,3,1,3,12,12,
1],[1,9,22,1,3,4,48,15,60,24,4,4,16,8,6,18,24,3,12,60,1,12,3,12,3,1],[1,9,22,
3,1,4,15,24,48,60,4,4,6,16,8,3,18,24,12,60,1,12,3,12,3,1],[1,7,12,7,4,12,18,6,
1,3,12,12,3,1,3,3,1],[1,7,12,2,1,4,4,12,4,14,6,1,4,1,2,4,4,4,4,4,3,1,2,1,1,2,
1],[1,3,16,1,4,2,4,12,18,4,2,3,1,12,4,8,1,2,1,2,1,1,2,1],[1,5,14,1,1,7,4,4,8,
16,2,4,2,2,1,1,2,8,2,2,4,4,2,1,1,1,1,1,1,1,1,1],[1,7,12,7,4,12,18,6,1,3,12,12,
3,1,3,3,1],[1,3,16,1,4,12,2,18,4,4,2,3,1,12,4,8,2,1,1,2,1,1,2,1],[1,7,12,1,2,
4,4,14,12,4,6,1,4,1,2,4,4,4,4,4,3,1,2,1,1,2,1],[1,5,14,1,1,8,7,16,4,4,2,4,2,1,
2,2,1,8,4,2,2,4,1,2,1,1,1,1,1,1,1,1],[1,7,12,1,2,4,2,16,12,4,2,4,1,4,1,2,4,4,
2,2,4,4,1,2,1,1,2,2,1,1],[1,13,6,3,9,2,9,18,6,1,6,9,6,6,3,1,3,3,1],[1,13,6,9,
3,2,9,18,6,1,6,9,6,6,3,1,3,3,1],[1,15,4,35,6,6,15,1,12,3,1,3,3,1],[1,15,4,35,
6,6,15,1,12,3,1,3,3,1],[1,9,10,7,1,5,4,8,16,6,1,2,2,1,2,8,2,10,3,1,2,1,2,1,
1],[1,9,10,1,7,5,4,8,16,2,4,1,2,2,1,2,8,2,2,8,2,1,1,1,2,2,1,1],[1,9,10,3,3,2,
11,4,18,2,4,6,1,9,2,2,4,4,2,1,1,1,2,1,2,1],[1,9,10,3,3,2,11,18,4,2,4,6,1,9,2,
2,4,4,1,2,1,1,2,1,2,1],[1,9,10,7,1,8,5,16,4,2,4,1,2,2,2,1,8,2,2,8,1,2,1,1,2,1,
2,1],[1,5,14,1,1,8,7,16,4,4,6,2,1,2,2,1,8,2,2,8,3,1,1,2,1,2,1],[1,5,14,1,1,7,
4,4,8,16,6,2,2,1,1,2,8,2,2,8,3,1,1,2,1,2,1],[1,7,12,1,2,4,4,14,12,4,4,2,1,4,1,
2,4,4,2,2,2,2,4,2,1,1,1,1,1,1,1,1,1],[1,7,12,2,1,4,4,12,4,14,4,2,1,4,1,2,4,4,
2,2,2,2,4,1,2,1,1,1,1,1,1,1,1],[1,9,10,3,3,2,11,18,4,2,4,6,1,9,2,2,4,4,1,2,1,
1,2,2,1,1],[1,5,14,1,1,7,4,8,20,2,4,2,3,1,2,8,2,2,8,1,2,1,1,2,2,1,1],[1,3,16,
1,6,6,16,12,4,2,1,3,4,8,4,8,2,1,1,1,2,1,2,1],[1,5,14,1,1,7,4,8,4,16,2,4,2,2,1,
1,2,8,2,2,8,1,2,1,1,2,1,2,1],[1,5,14,1,1,6,7,8,4,14,2,4,1,1,2,1,1,2,2,6,2,2,2,
2,4,1,2,1,1,1,1,1,1,1,1],[1,3,16,1,6,12,16,6,4,2,1,3,4,8,4,8,1,2,1,1,2,1,2,
1],[1,5,14,1,1,8,7,20,4,2,4,2,3,2,1,8,2,2,8,2,1,1,1,2,2,1,1],[1,5,14,1,1,8,7,
16,4,4,2,4,2,2,1,2,1,8,2,2,8,1,2,1,1,2,1,2,1],[1,5,14,1,1,8,6,14,7,4,2,4,1,2,
1,1,1,2,2,6,2,2,2,2,4,1,2,1,1,1,1,1,1,1,1],[1,11,8,2,7,2,12,4,14,4,2,1,1,4,2,
4,4,4,4,4,1,2,1,1,2,1,2,1],[1,9,10,1,7,8,5,16,4,6,1,2,2,2,1,8,2,10,3,1,1,2,1,
2,1],[1,11,8,7,2,4,2,14,12,4,2,1,1,4,2,4,4,4,4,4,2,1,1,1,2,2,1,1],[1,3,16,1,6,
12,4,16,2,2,4,3,4,8,1,2,2,8,1,2,1,1,2,1,2,1],[1,3,16,1,4,6,2,16,12,2,4,3,4,1,
8,2,2,8,1,2,1,1,2,1,2,1],[1,9,10,1,7,5,16,12,2,4,1,4,3,8,4,2,4,2,2,1,1,1,1,1,
1,1,1,1],[1,9,10,7,1,5,12,16,2,4,1,4,3,8,4,2,4,2,1,2,1,1,1,1,1,1,1,1],[1,3,16,
1,4,12,20,4,2,4,3,1,12,2,2,4,4,1,2,1,1,2,1,2,1],[1,3,16,1,16,3,14,3,4,2,4,1,2,
1,3,3,6,2,2,2,2,4,1,2,1,1,1,1,1,1,1,1],[1,3,16,1,4,12,4,20,2,4,3,12,1,2,2,4,4,
1,2,1,1,2,1,2,1],[1,3,16,1,3,3,16,4,14,2,4,1,2,3,3,1,6,2,2,2,2,4,1,2,1,1,1,1,
1,1,1,1],[1,7,12,2,1,2,12,4,4,16,2,4,1,4,2,4,1,4,2,2,4,4,1,2,1,1,2,1,2,1],[1,
3,16,1,6,6,12,6,1,3,12,12,3,1,3,3,1],[1,3,16,1,6,12,6,6,1,3,12,12,3,1,3,3,1],[
1,7,12,7,4,8,6,4,2,1,1,2,8,4,4,8,1,2,1,1,1,2,2,1],[1,7,12,7,4,6,8,4,2,1,1,2,8,
4,4,8,2,1,1,2,1,1,2,1],[1,1,18,4,5,2,4,8,2,2,4,2,1,1,4,8,4,8,1,2,1,1,1,2,2,
1],[1,9,6,1,7,3,12,12,8,1,3,3,8,4,8,1,2,2,2,1],[1,5,10,1,1,8,5,16,4,4,4,2,2,2,
1,8,4,2,4,2,1,1,1,2,2,1],[1,9,6,1,7,3,12,12,8,1,3,3,8,4,8,1,2,2,2,1],[1,5,10,
1,1,8,4,14,7,4,4,1,2,1,1,2,2,6,4,2,4,2,1,1,1,2,2,1],[1,9,6,1,7,3,12,12,8,1,3,
3,8,12,1,2,2,2,1],[1,9,6,7,1,3,12,12,8,1,3,3,8,4,8,1,2,2,2,1],[1,5,10,1,1,5,4,
8,16,4,4,2,2,1,2,8,4,2,2,4,1,1,1,2,2,1],[1,9,6,7,1,3,12,12,8,1,3,3,8,4,8,1,2,
2,2,1],[1,5,10,1,1,4,7,8,14,4,4,1,1,2,1,2,2,6,4,2,2,4,1,1,1,2,2,1],[1,9,6,7,1,
3,12,12,8,1,3,3,8,12,1,2,2,2,1],[1,9,6,7,1,3,12,12,4,4,1,3,3,8,2,2,8,1,2,1,1,
2,1],[1,9,6,1,7,3,12,12,4,4,1,3,3,8,2,2,8,1,2,1,1,2,1],[1,7,8,1,2,4,2,14,12,6,
2,1,4,2,4,4,2,3,2,1,4,1,1,1,1,1,1,1,1],[1,7,8,2,1,2,12,4,14,6,2,1,4,2,4,4,2,1,
2,3,4,1,1,1,1,1,1,1,1],[1,5,10,1,1,8,5,16,4,4,4,2,2,2,1,8,2,2,8,1,2,2,1,1,1],[
1,7,8,1,2,4,2,14,12,2,6,1,4,2,4,4,2,1,2,3,4,1,1,1,1,1,1,1,1],[1,5,10,1,1,5,4,
8,16,4,4,2,2,1,2,8,2,2,8,1,2,2,1,1,1],[1,7,8,2,1,2,12,4,14,2,6,1,4,2,4,4,3,2,
1,2,4,1,1,1,1,1,1,1,1],[1,5,10,1,1,8,5,16,4,8,2,2,2,1,8,4,8,1,2,2,2,1],[1,5,
10,1,1,8,4,14,7,4,4,1,2,1,1,2,2,6,2,4,2,4,1,1,1,2,2,1],[1,5,10,1,1,5,4,8,16,8,
2,2,1,2,8,4,8,1,2,2,2,1],[1,5,10,1,1,4,7,8,14,4,4,1,1,2,1,2,2,6,2,2,4,4,1,1,1,
2,2,1],[1,9,6,3,3,2,9,18,4,4,6,9,2,2,2,2,2,2,16,1,1,4,1,4,4,1],[1,7,12,7,8,18,
6,1,3,2,6,12,3,6,2,6,3,6,1],[1,7,12,7,18,8,6,1,3,2,6,12,6,3,2,6,3,6,1],[1,13,
6,7,7,3,12,4,6,1,1,1,3,6,6,6,3,3,3,2,3,3,3,6,1],[1,3,16,1,2,4,8,8,10,6,1,1,2,
2,8,6,4,1,2,6,2,2,1,2,4,4,2,1],[1,9,10,7,1,5,4,4,4,8,6,1,2,1,1,1,2,2,10,4,2,3,
3,1,2,2,1,2,1,1,2,2,4,1],[1,3,16,1,8,2,10,8,4,6,1,1,2,2,8,6,4,2,6,1,2,1,2,2,4,
2,4,1],[1,9,10,1,7,5,8,4,4,4,6,1,1,2,1,1,2,10,2,4,2,3,1,3,2,1,2,1,1,2,2,4,2,
1],[1,5,14,1,1,7,4,4,12,4,6,1,1,3,1,4,4,10,2,5,1,1,2,2,1,1,1,2,2,2,2,2,1],[1,
3,4,1,6,6,6,1,3,3,1,3,3,1],[1,3,4,1,6,6,6,1,3,3,1,1,2,1,1,1,1],[1,3,4,1,6,6,6,
1,3,3,1,3,3,1],[1,3,4,1,6,6,6,1,3,3,1,1,2,1,1,1,1],[1,3,8,1,2,6,4,4,6,1,1,4,2,
3,4,1,1,2,2,1,1],[1,7,4,7,6,10,1,1,4,5,4,1,1,2,2,1,1],[1,3,8,1,2,4,6,4,6,1,1,
4,3,2,4,1,1,2,2,1,1],[1,7,4,7,6,10,1,1,4,5,4,1,1,2,2,1,1],[1,3,8,1,2,4,6,8,2,
1,1,4,1,4,4,1,1,1,1,1,1,1,1],[1,3,8,1,2,6,4,8,2,1,1,4,4,1,4,1,1,1,1,1,1,1,1],[
1,1,10,4,1,2,4,2,6,4,1,1,4,1,2,2,4,1,1,2,2,1,1],[1,3,8,1,2,4,6,8,2,1,1,4,4,1,
4,1,2,2,1,1,1],[1,9,2,1,7,1,4,2,8,1,1,2,2,4,2,1,2,1,2,1,2,1,1],[1,5,6,1,1,3,4,
4,6,4,1,1,2,2,2,2,3,2,1,2,1,2,1,1],[1,7,4,7,6,4,6,1,1,4,3,6,1,2,2,1,1,1],[1,5,
6,1,1,3,4,4,6,4,1,1,2,2,2,2,2,3,1,1,1,1,1,1,1,1],[1,9,2,7,1,1,4,2,8,1,1,2,2,2,
1,2,4,1,2,1,2,1,1],[1,5,6,1,1,3,4,4,6,4,1,1,2,2,2,3,2,2,1,2,1,2,1,1],[1,7,4,7,
6,4,6,1,1,4,6,3,1,2,2,1,1,1],[1,3,8,1,2,6,4,8,2,1,1,4,4,4,1,1,2,1,2,1,1],[1,5,
6,1,1,3,4,4,6,4,1,1,2,2,2,3,2,2,1,1,1,1,1,1,1,1],[1,3,8,1,2,4,4,2,4,2,4,1,1,2,
2,4,1,2,2,1,2,2,1,1,1],[1,5,6,1,1,3,4,4,2,4,4,1,1,2,2,1,2,2,2,2,1,2,1,2,1,1],[
1,3,8,1,4,2,2,4,4,2,4,1,1,2,2,4,2,1,2,1,2,1,2,1,1],[1,3,8,1,2,4,6,4,6,1,1,4,3,
4,2,1,1,1,1,1,1,1,1],[1,3,8,1,2,6,4,4,6,1,1,4,2,3,4,1,1,1,1,1,1,1,1],[1,5,2,1,
1,1,4,4,8,1,4,2,2,2,1,1,1,2,2,1],[1,5,2,1,1,1,4,8,4,1,2,4,2,2,1,2,2,1,1,1],[1,
5,2,1,1,1,4,4,8,1,2,2,2,4,1,1,1,2,2,1],[1,5,2,1,1,1,4,8,4,1,2,2,2,4,1,2,2,1,1,
1],[1,5,2,1,1,1,4,4,8,1,2,2,4,2,1,2,2,2,1],[1,9,6,7,1,3,4,4,8,1,1,1,2,2,6,2,2,
4,8,2,4,1,1,1,1,1,1,1,4,4,1],[1,5,10,1,1,5,8,4,8,2,1,4,4,4,4,2,8,2,4,2,1,1,1,
2,4,4,1],[1,5,10,1,1,5,4,8,8,2,1,4,4,4,2,2,4,8,4,2,1,1,1,2,4,4,1],[1,9,6,1,7,
3,4,4,8,1,1,1,2,6,2,2,2,4,2,8,4,1,1,1,1,1,1,1,4,4,1],[1,5,10,1,1,5,4,8,8,2,1,
4,4,4,6,6,2,2,4,2,1,1,1,2,4,4,1],[1,5,10,1,1,5,4,4,4,8,1,1,1,1,3,3,5,3,9,2,2,
4,1,1,1,1,1,1,1,2,2,2,2,1],[1,5,6,1,1,3,10,1,3,3,3,3,6,3,3,10,1,1,3,1,3,3,3,
1],[1,3,4,1,3,3,6,6,1,3,3,12,3,1],[1,5,6,1,1,3,4,4,6,4,1,1,2,2,2,2,1,1,1,1,
1],[1,5,6,1,1,3,4,4,6,4,1,1,2,2,1,2,2,1,1,1,1],[1,9,2,7,1,1,4,2,4,4,1,1,2,2,2,
1,2,1,1,1,1],[1,7,4,7,6,10,1,1,4,5,2,1,1],[1,7,4,7,6,2,8,1,1,4,1,4,2,1,1],[1,
3,8,1,4,2,2,4,4,2,4,1,1,2,2,2,1,2,1,1,1,1],[1,3,8,1,4,8,4,2,4,1,1,2,2,2,1,2,1,
1,1,1],[1,9,2,7,1,1,4,6,4,1,1,2,2,1,2,2,1,1,1,1],[1,9,2,1,7,1,4,6,4,1,1,2,2,2,
2,1,1,1,1,1],[1,5,6,1,1,3,4,4,10,1,1,2,2,1,2,2,1,1,1,1],[1,9,2,1,7,1,4,2,4,4,
1,1,2,2,2,1,2,1,1,1,1],[1,5,6,1,1,3,4,4,6,4,1,1,2,2,1,2,2,1,1,1,1],[1,5,6,1,1,
3,4,4,6,4,1,1,2,2,1,2,2,1,1,1,1],[1,3,8,1,2,4,6,2,8,1,1,4,1,4,2,1,1],[1,3,8,1,
2,6,4,2,8,1,1,4,4,1,2,1,1],[1,5,6,1,1,3,4,4,2,4,4,1,1,2,2,2,1,2,1,1,1,1],[1,5,
6,1,1,3,4,4,2,4,4,1,1,2,2,2,1,2,1,1,1,1],[1,5,6,1,1,3,4,4,2,8,1,1,2,2,1,2,2,1,
1,1,1],[1,7,4,7,6,10,1,1,4,5,2,1,1],[1,3,8,1,2,4,6,2,8,1,1,4,1,4,2,1,1],[1,3,
8,1,4,8,6,4,1,1,2,2,2,1,2,1,1,1,1],[1,1,10,4,1,2,4,2,2,8,1,1,4,1,4,2,1,1],[1,
7,4,7,6,2,8,1,1,4,4,1,2,1,1],[1,3,8,1,8,4,4,2,4,1,1,2,2,2,1,2,1,1,1,1],[1,3,8,
1,2,6,4,2,8,1,1,4,4,1,2,1,1],[1,3,8,1,8,4,6,4,1,1,2,2,1,2,2,1,1,1,1],[1,1,10,
4,1,2,4,2,2,8,1,1,4,1,4,2,1,1],[1,3,8,1,2,4,4,2,4,2,4,1,1,2,2,1,2,2,1,1,1,1],[
1,5,2,1,1,1,4,4,8,1,2,4,4,4,1,1,2,1,1,1,1],[1,5,2,1,1,1,4,4,8,1,4,2,4,4,1,1,2,
1,1,1,1],[1,5,2,1,1,1,4,8,4,1,2,4,4,4,1,2,1,1,1,1,1],[1,5,2,1,1,1,4,8,4,1,4,2,
4,4,1,2,1,1,1,1,1],[1,3,4,1,3,3,6,2,4,1,1,2,1,2,4,4,1,1,2,1,2,1],[1,7,4,7,6,2,
1,1,4,1,4,1,2,1],[1,7,4,7,6,2,1,1,4,1,4,1,2,1],[1,3,8,1,2,6,4,2,1,1,4,1,4,1,2,
1],[1,3,8,1,2,4,6,2,1,1,4,1,4,1,2,1],[1,5,10,1,1,5,4,8,4,4,2,1,2,2,2,4,2,2,2,
4,1,1,1,1,1,1,1,1],[1,7,8,7,2,6,4,2,6,1,1,1,4,4,4,1,3,4,1,1,1,1,1,1,1,1],[1,3,
12,1,4,6,8,6,2,1,2,4,8,4,3,1,1,1,1,1,1,2,1],[1,5,10,1,1,5,8,4,4,4,2,1,2,2,2,4,
2,2,2,4,1,1,1,1,1,1,1,1],[1,7,8,7,2,4,6,2,6,1,1,1,4,4,4,3,4,1,1,1,1,1,1,1,1,
1],[1,3,12,1,4,8,6,6,2,1,2,4,8,4,1,3,1,1,1,1,1,2,1],[1,7,8,7,2,4,6,6,2,1,1,1,
4,4,4,1,7,1,1,1,1,1,1,1,1],[1,9,6,1,7,3,4,4,4,4,1,1,1,2,6,2,2,2,2,4,1,1,1,1,1,
1,1,1],[1,3,12,1,4,8,6,2,6,1,2,4,4,4,3,4,1,1,1,1,1,1,1,1,1],[1,3,12,1,4,6,8,2,
6,1,2,4,4,4,1,3,4,1,1,1,1,1,1,1,1],[1,9,6,7,1,3,4,4,4,4,1,1,1,2,6,2,2,2,2,4,1,
1,1,1,1,1,1,1],[1,7,8,7,2,6,4,6,2,1,1,1,4,4,4,7,1,1,1,1,1,1,1,1,1],[1,3,12,1,
7,3,8,2,2,4,1,2,4,4,4,1,1,2,4,1,1,2,2,1,1],[1,3,12,1,4,4,2,4,4,2,2,4,1,1,1,2,
2,2,2,4,1,1,2,4,1,1,1,1,1,1,1,1],[1,3,12,1,4,4,4,4,2,2,2,4,1,1,1,2,2,2,2,4,1,
1,2,4,1,1,1,1,1,1,1,1],[1,1,14,4,3,2,4,4,2,4,4,1,1,1,4,4,4,3,3,2,1,1,1,1,1,1,
1,1],[1,5,6,1,1,3,4,4,2,8,1,1,2,2,4,4,1,4,1,1,1,1,1,1,1,1],[1,5,6,1,1,3,4,4,6,
4,1,1,2,2,4,2,3,4,1,1,1,1,1,1,1,1],[1,5,6,1,1,3,4,4,6,4,1,1,2,2,2,4,3,4,1,1,1,
1,1,1,1,1],[1,5,6,1,1,3,4,4,2,8,1,1,2,2,1,4,4,4,1,1,1,1,1,1,1,1],[1,9,2,1,7,1,
4,6,4,1,1,2,2,2,7,4,1,1,1,1,1,1,1,1],[1,5,6,1,1,3,4,4,6,4,1,1,2,2,4,3,2,4,1,1,
1,1,1,1,1,1],[1,5,6,1,1,3,4,4,6,4,1,1,2,2,3,2,4,4,1,1,1,1,1,1,1,1],[1,9,2,7,1,
1,4,6,4,1,1,2,2,7,2,4,1,1,1,1,1,1,1,1],[1,5,6,1,1,3,4,4,2,8,1,1,1,1,1,1,1,4,4,
4,1,1,1,1,1,1,1,1],[1,3,8,1,5,3,4,4,2,4,1,1,2,2,3,3,1,2,4,1,1,1,1,1,1,1,1],[1,
5,2,1,1,1,4,4,1,2,2,2,4,1,2,2,2,1],[1,3,4,1,2,8,1,2,3,2,1,4,2,1,1,1,2,2,1],[1,
3,4,1,2,8,1,2,2,3,4,1,2,1,1,1,2,2,1],[1,3,12,1,4,8,2,4,2,4,1,2,1,2,1,2,1,1,1,
2,2,1],[1,3,12,1,4,2,8,4,2,1,2,4,2,1,1,2,1,1,1,2,2,1],[1,3,4,1,2,8,1,2,3,2,1,
2,1,1,1,1],[1,3,4,1,2,8,1,2,2,3,1,2,1,1,1,1],[1,3,4,1,2,4,4,1,2,2,2,1,1,2,1,1,
1,1],[1,3,4,1,2,4,4,1,2,1,2,2,1,2,1,1,1,1],[1,3,4,1,3,3,2,2,1,1,1,4,4,1,2,1],[
1,1,10,1,2,2,6,2,1,2,1,1,2,2,1,1,2,1,1,1,1,1,1,1,1],[1,3,5,8,1,3,4,1,2,1,1],[
1,3,5,8,1,3,4,1,2,1,1],[1,3,8,5,1,3,4,1,1,1,1,1],[1,6,9,2,2,9,2,6,6,6,1,6,1,2,
1],[1,15,2,2,9,6,8,6,1,6,1,2,1],[1,9,2,2,9,6,6,1,1,1],[1,3,1,1,1,3,1,1],[1,1,
7,7,1,1,1,1],[1,15,16,35,15,20,1,1],[1,15,16,35,15,20,1,1],[1,9,6,16,3,3,2,9,
18,6,9,12,8,1,1],[1,9,6,16,3,3,2,9,18,6,9,12,8,1,1],[1,3,12,16,1,4,12,18,3,12,
4,4,12,1,1],[1,3,12,16,1,4,12,18,3,12,4,4,12,1,1],[1,3,12,16,1,4,12,18,3,12,4,
16,1,1],[1,3,12,16,1,4,12,18,3,12,4,16,1,1],[1,15,4,35,12,15,1,4,1,3,1],[1,15,
4,35,12,15,1,4,1,3,1],[1,9,6,4,3,3,2,9,18,12,6,9,1,4,1,3,1],[1,3,12,4,1,4,12,
18,12,3,12,1,4,1,3,1],[1,3,12,4,1,16,3,12,3,12,1,2,3,3,6,1,4,1,1,2,1],[1,3,12,
4,1,4,12,18,12,3,12,1,4,1,3,1],[1,3,12,4,1,3,3,16,12,12,1,2,3,3,6,1,4,1,1,2,
1],[1,3,12,4,1,4,12,18,12,3,12,1,4,1,3,1],[1,3,12,4,1,4,12,18,12,3,12,1,4,1,3,
1],[1,3,12,4,1,6,12,16,12,3,4,8,1,4,1,1,2,1],[1,9,6,4,7,1,3,12,12,12,1,3,3,8,
1,4,1,1,2,1],[1,9,6,4,1,7,3,12,12,12,1,3,3,8,1,4,1,1,2,1],[1,3,12,4,1,6,16,12,
12,3,4,8,1,4,1,1,2,1],[1,3,16,1,6,3,4,1,1],[1,3,16,1,6,3,4,1,1],[1,7,12,4,7,
18,6,8,4,1,3,12,3,1,4,3,2,1,1],[1,4,15,4,1,6,3,9,3,3,3,3,8,4,1,3,3,3,3,3,3,1,
4,3,1,1,1,1],[1,1,18,4,12,3,6,4,6,8,4,1,3,12,3,1,4,3,2,1,1],[1,1,18,4,3,9,9,4,
6,8,4,1,3,6,6,3,1,4,3,1,1,1,1],[1,13,6,4,7,3,3,12,6,4,4,4,1,3,6,6,3,1,4,3,1,1,
1,1],[1,7,12,4,7,6,12,6,8,4,1,3,12,3,1,4,3,2,1,1],[1,7,12,4,7,6,12,6,8,4,1,3,
12,3,1,4,3,2,1,1],[1,1,18,4,3,12,4,6,6,8,4,1,3,12,3,1,4,3,2,1,1],[1,1,18,4,3,
9,4,9,6,8,4,3,1,6,6,3,1,4,3,1,1,1,1],[1,13,6,4,3,7,3,12,6,4,4,4,1,3,6,6,3,1,4,
3,1,1,1,1],[1,7,12,4,7,18,6,8,4,1,3,12,3,1,4,3,2,1,1],[1,4,15,4,1,3,3,3,6,9,3,
3,8,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,7,12,4,3,9,9,4,6,4,4,4,3,1,6,6,3,1,4,3,
1,1,1,1],[1,7,12,4,3,9,9,4,6,4,4,4,3,1,6,6,3,1,4,3,1,1,1,1],[1,10,9,4,1,3,9,9,
3,3,3,4,4,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,18,4,1,3,12,9,6,8,4,1,3,6,6,3,1,
4,3,2,1,1],[1,3,16,4,1,9,3,12,6,8,4,1,3,6,6,3,1,4,3,2,1,1],[1,3,16,4,1,9,3,12,
6,8,4,1,3,6,6,3,1,4,3,2,1,1],[1,3,16,4,1,12,12,6,8,4,1,3,6,6,3,1,4,3,2,1,1],[
1,7,12,4,9,3,4,9,6,4,4,4,3,1,6,6,3,1,4,3,1,1,1,1],[1,10,9,4,3,1,3,9,9,3,3,4,4,
4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,18,4,1,3,9,12,6,8,4,3,1,6,6,3,1,4,3,2,1,
1],[1,3,16,4,3,1,12,9,6,8,4,1,3,6,6,3,1,4,3,2,1,1],[1,3,16,4,1,12,12,6,8,4,1,
3,6,6,3,1,4,3,2,1,1],[1,7,4,7,4,4,1,6,1,4,1,1,1],[1,7,4,7,4,4,1,6,1,4,1,1,1],[
1,1,6,4,3,4,4,4,1,3,3,1,4,1,1,1],[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],[1,1,6,4,3,4,6,6,4,1,3,3,1,4,3,1,1],[1,3,4,4,1,6,12,4,1,6,1,4,3,
1,1],[1,3,4,4,3,1,3,6,6,4,1,3,3,1,4,3,1,1],[1,3,4,4,1,3,3,6,6,4,1,3,3,1,4,3,1,
1],[1,3,4,4,1,6,12,4,1,6,1,4,3,1,1],[1,1,6,4,1,3,3,6,6,4,1,3,3,1,4,3,1,1],[1,
1,6,4,1,3,3,6,6,4,1,3,3,1,4,3,1,1],[1,3,4,4,1,3,3,6,6,4,1,3,3,1,4,3,1,1],[1,1,
12,4,6,3,8,4,3,1,3,4,3,1,1],[1,1,12,4,6,3,8,4,3,1,3,4,3,1,1],[1,3,4,1,6,12,3,
4,4,1,1,1],[1,3,4,1,6,12,3,4,4,1,1,1],[1,3,4,1,6,12,3,4,4,1,1,1],[1,3,4,1,6,
12,3,4,4,1,1,1],[1,1,4,9,4,3,1,3,4,3,1,1],[1,1,4,9,4,1,3,3,4,3,1,1],[1,1,6,4,
3,4,4,3,3,1,4,1,1,1],[1,8,15,1,1,1,9,15,9,1,3,1,5,5,3,3,1,3,3,3,3,1,1,1,3,3,5,
1,3,1,1,1,1,1,1,1,1],[1,7,7,8,1,1],[1,7,7,8,1,1],[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],[1,5,1,15,1,5,1,5,1,3,1,1],[1,8,14,1,7,1,2,1,1],[1,21,42,21,7,
14,63,126,168,252,3,42,42,63,168,48,63,126,168,168,504,14,168,21,7,63,252,126,
21,42,1],[1,21,42,7,21,14,168,63,252,126,3,42,42,168,48,63,126,168,63,168,504,
14,168,21,7,63,252,126,21,42,1],[1,15,12,35,4,12,18,18,15,3,12,36,9,12,1,1,3,
3,9,9,9,3,3,9,1],[1,3,24,1,4,6,12,12,16,18,12,6,3,3,4,8,12,12,24,3,6,4,8,1,1,
3,2,1,6,3,3,6,3,6,3,3,3,6,1],[1,15,12,35,4,12,18,18,15,3,12,36,9,12,1,1,3,3,9,
9,9,3,3,9,1],[1,3,24,1,4,12,6,18,16,12,12,6,3,3,4,12,8,12,24,6,3,4,8,1,1,3,2,
1,6,3,3,6,3,6,3,3,3,6,1],[1,13,18,9,3,2,15,42,24,60,16,1,6,6,9,24,15,6,8,32,
48,24,3,1,3,12,12,4,12,12,1,6,1],[1,13,18,3,9,2,24,15,60,42,16,1,6,6,24,9,6,8,
15,32,48,24,3,1,3,12,12,4,12,12,1,6,1],[1,13,18,3,9,2,24,15,60,42,16,1,6,6,24,
9,6,8,15,32,48,8,16,3,1,3,12,12,4,4,8,4,8,1,2,4,1],[1,13,18,3,9,2,24,15,60,42,
8,8,1,6,6,24,9,6,8,15,32,48,4,8,4,8,3,1,3,12,12,2,2,2,2,8,2,2,8,1,1,1,4,1],[1,
9,22,1,3,4,48,15,60,24,4,4,8,4,4,16,8,6,18,24,3,12,60,4,2,4,4,8,2,1,12,3,12,3,
1,1,2,4,2,4,2,2,4,2,4,1,1,2,1,2,1],[1,13,18,9,3,2,15,42,24,60,16,1,6,6,9,24,
15,6,8,32,48,8,16,3,1,3,12,12,4,4,4,8,8,1,2,4,1],[1,13,18,9,3,2,15,42,24,60,8,
8,1,6,6,9,24,15,6,8,32,48,4,4,8,8,3,1,3,12,12,2,2,2,2,2,2,8,8,1,1,1,4,1],[1,9,
22,3,1,4,15,24,48,60,4,4,8,4,4,6,16,8,3,18,24,12,60,4,2,4,2,4,8,1,12,3,12,3,1,
1,2,4,2,2,4,2,4,2,4,1,1,2,1,2,1],[1,9,30,7,1,24,15,48,12,32,12,12,1,6,3,6,8,
16,6,3,8,24,24,24,24,6,6,24,6,8,2,1,3,6,3,2,6,6,12,24,6,12,24,24,24,3,6,4,12,
6,1],[1,21,18,35,7,9,12,36,16,36,12,1,15,9,3,4,9,8,24,8,12,12,36,12,6,12,18,6,
8,1,1,3,1,3,3,3,2,18,6,6,12,12,6,18,12,24,24,3,3,3,4,12,6,1],[1,21,18,7,35,9,
36,36,16,12,12,15,1,3,9,4,8,9,24,8,12,36,12,12,6,12,6,18,8,1,1,1,3,3,3,3,2,6,
6,12,12,18,18,6,12,24,24,3,3,3,4,12,6,1],[1,9,30,1,7,15,12,12,24,32,48,12,1,6,
6,3,8,3,6,8,16,24,24,24,24,6,6,6,24,8,2,1,3,6,3,2,6,24,6,12,6,12,24,24,24,3,6,
4,12,6,1],[1,13,26,7,7,13,28,20,48,28,12,1,1,7,7,12,16,5,8,8,16,4,20,20,28,10,
20,6,6,8,2,2,1,1,2,2,4,1,2,4,10,6,6,12,12,2,4,2,16,16,8,16,8,16,2,2,1,4,4,4,8,
2,4,1],[1,21,18,37,3,2,15,42,24,60,12,15,6,6,9,24,15,6,8,32,48,12,36,18,1,3,1,
3,12,12,3,6,6,18,18,3,1,2,6,3,1],[1,21,18,3,37,2,24,15,60,42,12,15,6,6,24,9,6,
8,15,32,48,12,36,18,1,3,1,3,12,12,3,6,6,18,18,3,1,2,6,3,1],[1,13,26,9,3,2,19,
42,24,16,68,4,8,1,6,6,11,24,4,15,6,8,32,8,48,4,8,4,8,16,8,4,2,4,8,1,3,1,3,12,
12,1,2,2,2,4,4,2,4,8,2,4,4,4,8,1,2,1,2,2,4,1,2,1],[1,13,26,9,3,2,19,42,24,16,
68,4,8,1,6,6,11,24,4,15,6,8,32,8,48,4,8,4,8,8,16,4,2,4,8,1,3,1,3,12,12,1,2,2,
4,2,4,2,8,4,2,4,4,4,8,1,2,1,2,2,4,1,2,1],[1,13,26,3,9,2,24,19,68,42,16,4,8,1,
6,6,24,11,4,8,6,8,15,32,48,8,4,4,8,16,8,4,4,8,2,1,3,1,3,12,12,1,2,2,4,2,4,4,8,
2,4,2,4,4,8,1,2,1,2,2,4,1,2,1],[1,13,26,3,9,2,24,19,68,42,16,4,8,1,6,6,24,11,
4,8,6,8,15,32,48,8,4,4,8,8,16,4,4,8,2,1,3,1,3,12,12,1,2,2,4,2,4,4,8,2,4,2,4,4,
8,1,2,1,2,2,4,1,2,1],[1,17,22,9,9,2,24,17,60,50,12,8,4,1,1,6,6,24,3,9,6,8,17,
32,8,48,8,4,8,4,8,4,4,8,2,4,2,2,8,1,3,1,3,12,12,1,2,1,2,3,2,4,2,2,4,2,4,2,2,2,
8,8,1,2,1,1,1,1,1,2,2,1,2,1],[1,17,22,9,9,2,17,12,50,24,60,8,4,1,1,6,6,9,24,3,
17,6,8,8,32,48,8,8,4,4,4,4,8,8,2,2,2,4,8,3,1,1,3,12,12,1,2,1,2,3,2,4,2,2,2,4,
4,2,2,2,8,8,1,2,1,1,1,1,1,2,2,1,2,1],[1,9,30,1,3,4,48,19,60,24,8,16,8,4,4,4,
16,2,2,8,6,18,24,3,2,12,60,8,4,4,8,4,4,24,2,4,2,2,8,1,12,1,3,12,3,1,2,4,1,2,3,
2,2,4,8,2,4,8,2,6,1,2,1,2,2,2,2,2,1,1],[1,13,26,3,9,2,24,19,60,42,8,16,4,8,1,
6,6,24,2,2,9,6,8,15,2,32,48,8,4,4,8,12,12,8,2,2,2,4,8,3,1,1,3,12,12,1,2,3,2,2,
1,4,2,2,4,8,2,2,8,6,2,1,2,1,2,2,2,2,1,2,1],[1,13,26,7,3,4,48,17,60,32,12,4,8,
1,4,4,16,3,8,6,18,24,5,12,8,60,4,4,8,16,4,4,8,2,2,2,4,8,1,12,1,3,12,3,1,2,2,4,
3,1,2,2,4,2,4,4,2,2,8,8,1,2,1,1,1,1,2,2,1,1,2,1],[1,13,26,9,3,2,8,19,16,42,24,
60,4,8,1,2,6,6,9,24,2,2,15,6,8,32,8,48,4,4,12,12,8,8,4,2,2,2,8,3,1,3,12,1,12,
1,2,3,2,2,1,4,2,2,4,8,2,2,2,6,8,1,2,1,2,2,2,2,1,2,1],[1,9,30,3,1,4,8,19,16,24,
48,60,8,4,2,4,4,6,16,8,2,2,3,18,24,12,8,60,4,4,4,4,8,24,2,2,2,4,8,1,12,3,12,1,
3,1,2,4,1,2,3,2,2,4,8,2,6,2,4,8,1,2,1,2,2,2,2,2,1,1],[1,13,26,3,7,4,17,12,32,
48,60,4,8,1,4,4,6,16,8,3,5,18,24,8,12,60,4,4,4,4,8,16,8,4,2,2,2,8,1,12,1,3,12,
3,1,2,2,4,3,1,2,2,4,4,2,2,2,8,4,8,1,2,1,1,1,1,2,2,1,1,2,1],[1,9,30,3,1,4,19,
24,48,16,68,4,8,4,4,8,16,8,4,3,18,24,12,8,60,4,8,4,8,8,16,4,2,4,8,1,12,1,3,12,
3,1,2,2,4,2,4,2,4,8,4,2,4,4,8,1,2,1,2,4,2,1,2,1],[1,9,30,1,3,4,48,19,68,24,16,
4,8,4,4,16,8,8,4,8,18,24,3,12,60,4,8,4,8,8,16,2,4,4,8,1,12,1,3,12,3,1,2,2,4,2,
4,2,4,8,4,2,4,8,4,1,2,1,2,2,4,1,2,1],[1,9,6,7,1,3,12,12,12,12,1,3,3,8,6,6,24,
8,8,1,6,6,6,2,2,3,3,6,3,6,6,1],[1,9,6,1,7,3,12,12,12,12,1,3,3,8,6,6,24,8,8,1,
6,6,6,2,2,3,3,6,3,6,6,1],[1,3,24,1,4,12,6,18,12,12,6,3,3,12,12,12,24,12,6,3,1,
3,1,6,6,3,3,3,3,6,3,1,2,3,6,1],[1,7,20,7,4,12,4,18,8,8,10,1,3,2,12,8,8,12,4,
16,8,5,8,1,1,2,1,2,4,4,3,1,2,2,2,1,2,3,4,1,2,1,2,1,2,2,2,2,1],[1,3,24,1,4,6,
12,12,18,12,6,3,3,12,12,12,24,12,3,6,1,3,1,6,6,3,3,3,3,6,3,1,2,3,6,1],[1,7,20,
7,4,4,8,12,18,8,10,1,3,2,12,8,4,8,12,16,5,8,8,1,1,2,1,2,4,4,3,2,1,2,1,2,3,2,4,
1,2,1,2,1,2,2,2,2,1],[1,9,6,3,3,2,9,18,12,12,6,9,6,6,6,6,6,6,48,1,3,12,3,12,
12,3,4,1],[1,13,18,3,9,2,24,15,60,42,8,8,1,6,6,24,9,6,8,15,32,48,4,4,4,4,4,4,
32,3,1,3,12,12,2,8,2,8,8,2,4,2,2,2,4,1,2,4,2,4,2,1],[1,13,18,9,3,2,15,42,24,
60,8,8,1,6,6,9,24,15,6,8,32,48,4,4,4,4,4,4,32,3,1,3,12,12,2,8,2,8,8,2,4,2,2,2,
4,1,2,4,2,4,2,1],[1,17,14,1,35,7,12,12,8,16,4,12,15,2,2,3,3,2,8,8,4,12,8,24,6,
2,8,6,2,1,1,1,1,2,1,4,2,4,6,2,4,6,6,6,4,1,1,2,2,1,2,2,4,1],[1,9,22,1,7,11,20,
12,8,16,16,12,4,1,2,2,5,4,8,3,2,8,8,8,4,4,8,8,16,4,2,2,14,2,1,1,1,2,1,1,4,2,4,
2,4,2,4,2,2,4,2,4,4,4,1,1,2,2,1,2,2,4,1],[1,13,18,7,7,8,9,28,20,12,8,8,1,1,2,
3,5,2,5,8,8,8,4,12,4,4,8,8,8,2,4,2,2,4,2,8,1,1,1,1,1,2,2,2,1,1,2,2,2,4,2,2,4,
2,2,4,2,2,2,2,4,1,1,1,1,2,1,1,1,2,2,2,1],[1,9,22,7,1,8,11,16,12,16,20,12,4,1,
2,5,2,4,2,3,8,8,8,4,8,4,8,8,16,4,2,14,2,2,1,1,1,2,1,1,4,2,2,4,4,2,2,4,2,4,2,4,
4,4,1,1,2,2,1,2,2,4,1],[1,17,14,35,1,8,7,16,12,12,4,12,15,2,3,2,2,3,8,8,4,12,
8,24,2,6,2,6,8,1,1,1,1,2,1,4,2,4,6,6,2,4,6,6,4,1,1,2,2,1,2,2,4,1],[1,13,18,7,
7,9,12,20,8,28,8,8,1,1,2,5,3,5,2,8,8,8,4,4,12,4,8,8,8,2,2,4,2,2,4,8,1,1,1,1,1,
2,2,2,1,2,2,1,2,4,2,2,2,4,2,2,2,4,2,2,4,1,1,1,1,2,1,1,1,2,2,2,1],[1,5,26,1,1,
8,13,24,4,8,16,16,8,8,2,2,2,4,4,8,2,1,2,8,8,4,8,4,8,24,2,4,4,2,8,4,1,1,1,1,2,
1,2,2,2,2,2,2,4,2,2,4,4,6,2,4,4,1,1,2,2,1,2,2,2,2,1],[1,5,26,1,1,8,13,16,4,8,
16,24,8,8,2,2,4,2,4,2,1,2,8,8,8,8,4,8,4,24,2,4,4,2,4,8,1,1,1,1,2,1,2,2,2,2,2,
2,4,2,4,2,4,4,2,6,4,1,1,2,2,1,2,2,2,2,1],[1,9,22,7,1,8,11,16,12,16,20,4,4,8,1,
2,5,2,4,2,3,8,8,8,4,8,4,8,8,16,4,2,2,2,4,2,8,1,1,1,1,2,1,4,2,2,4,4,2,2,4,2,4,
2,4,4,4,1,1,2,2,1,2,2,4,1],[1,9,22,1,7,11,20,12,8,16,16,4,4,8,1,2,2,5,4,8,3,2,
8,8,8,4,4,8,8,16,4,2,2,4,8,2,2,1,1,1,1,2,1,4,2,4,2,4,2,4,2,2,4,2,4,4,4,1,1,2,
2,1,2,2,4,1],[1,9,14,1,7,7,12,12,8,16,4,16,1,2,2,3,3,2,8,8,8,8,2,2,8,16,2,1,1,
4,1,4,4,2,4,2,4,1,2,4,1],[1,9,14,1,7,7,12,12,8,16,20,1,2,2,3,3,2,8,8,8,8,10,2,
16,2,1,1,4,1,4,4,2,4,2,4,1,2,4,1],[1,9,14,7,1,8,7,16,12,12,20,1,2,3,2,2,3,8,8,
8,8,2,2,10,16,1,1,4,1,4,4,2,4,2,4,1,2,4,1],[1,9,14,7,1,8,7,16,12,12,4,16,1,2,
3,2,2,3,8,8,8,8,2,2,8,2,16,1,1,4,1,4,4,2,4,2,4,1,2,4,1],[1,9,14,7,1,7,12,16,
20,8,4,8,1,5,4,3,8,8,4,8,4,4,2,2,4,2,8,8,1,1,1,2,2,1,2,1,2,2,2,2,4,4,1,1,1,2,
2,1],[1,9,14,7,1,7,12,16,20,8,12,1,5,4,3,8,8,4,8,4,4,2,2,2,4,8,8,1,1,1,2,2,2,
1,1,2,2,2,2,4,4,1,1,1,2,2,1],[1,13,10,7,7,5,12,20,12,4,8,8,1,1,3,3,5,8,8,4,4,
4,4,2,4,2,8,4,8,2,1,1,2,2,1,2,2,2,2,2,2,4,2,2,1,1,1,2,2,1],[1,9,14,1,7,7,20,
12,16,8,12,1,5,4,8,3,8,8,4,4,4,4,2,8,2,2,8,1,1,1,2,2,1,2,1,2,2,2,4,2,4,1,1,1,
2,2,1],[1,9,14,1,7,7,20,12,16,8,4,8,1,5,4,8,3,8,8,4,4,4,2,4,8,2,2,8,1,1,1,2,2,
1,2,1,2,2,2,4,2,4,1,1,1,2,2,1],[1,13,10,7,7,5,12,20,12,4,8,8,1,1,3,3,5,8,8,4,
4,4,4,2,2,4,2,4,8,8,1,1,2,2,1,2,2,2,2,2,2,4,2,2,1,1,1,2,2,1],[1,9,14,7,1,8,7,
16,12,12,4,16,1,2,3,2,2,3,8,8,8,8,2,2,8,16,2,1,1,4,1,4,4,2,4,2,4,1,2,2,2,1],[
1,5,18,1,1,8,9,16,4,8,16,4,16,2,2,2,2,2,1,2,8,8,16,2,2,8,16,2,1,1,4,1,4,4,4,4,
4,1,2,4,1],[1,5,18,1,1,8,9,24,4,16,4,8,8,2,4,4,8,2,1,8,4,8,4,2,2,4,4,8,2,8,1,
1,1,2,2,2,1,2,1,2,2,4,2,4,1,1,1,2,2,1],[1,9,14,1,7,7,12,12,8,16,8,4,8,1,2,2,3,
3,2,8,8,8,8,2,2,4,8,12,2,1,1,2,2,1,2,2,2,2,2,4,2,4,1,1,1,4,1],[1,9,14,1,7,7,
20,12,16,16,4,1,5,4,8,3,8,8,4,4,4,2,14,2,8,1,1,2,1,2,1,2,1,2,2,2,4,2,4,1,1,1,
2,2,1],[1,13,10,7,7,5,12,20,12,12,8,1,1,3,3,5,8,8,4,4,4,4,2,2,4,8,14,1,1,2,2,
1,2,2,2,2,2,2,4,2,2,1,1,1,2,2,1],[1,17,6,1,35,3,12,12,8,4,8,15,3,3,8,4,12,2,4,
8,6,2,8,1,1,1,2,2,1,2,1,2,2,6,6,1,1,1,2,2,1],[1,9,14,7,1,7,12,16,20,16,4,1,5,
4,3,8,8,4,8,4,4,2,14,2,8,1,1,2,1,2,1,1,2,2,2,2,2,4,4,1,1,1,2,2,1],[1,13,10,7,
7,5,12,20,12,12,8,1,1,3,3,5,8,8,4,4,4,4,2,14,4,2,8,1,1,2,2,1,2,2,2,2,2,2,4,2,
2,1,1,1,2,2,1],[1,17,6,35,1,3,12,12,8,4,8,15,3,3,8,4,12,2,6,4,2,8,8,1,1,1,2,2,
1,2,1,2,2,6,6,1,1,1,2,2,1],[1,9,14,7,1,8,7,16,12,12,8,4,8,1,2,3,2,2,3,8,8,8,8,
2,12,2,4,2,8,1,1,2,2,1,2,2,2,2,2,4,2,4,1,1,1,4,1],[1,5,18,1,1,8,9,16,4,8,16,4,
16,2,2,2,2,2,1,2,8,8,16,2,2,8,2,16,1,1,4,1,4,4,4,4,4,1,2,4,1],[1,9,14,1,7,7,
12,12,8,16,4,16,1,2,2,3,3,2,8,8,8,8,2,2,8,2,16,1,1,4,1,4,4,2,4,2,4,1,2,2,2,
1],[1,5,18,1,1,9,4,8,16,24,4,8,8,2,4,4,1,2,8,8,4,8,4,2,4,2,2,4,8,8,1,1,1,2,2,
2,1,1,2,2,2,4,2,4,1,1,1,2,2,1],[1,9,14,1,7,7,12,12,8,16,8,12,1,2,2,3,3,2,8,8,
8,8,8,2,4,2,6,8,16,1,1,2,2,1,4,2,2,4,2,2,4,4,2,4,2,4,1,2,2,2,4,4,1],[1,13,10,
7,7,5,12,20,12,12,8,1,1,3,3,5,8,8,4,4,4,4,2,4,2,8,14,16,1,1,2,2,1,4,4,4,2,2,4,
2,2,2,2,4,2,2,1,1,1,2,2,4,4,1],[1,13,10,7,7,5,12,20,12,4,16,1,1,3,3,5,8,8,4,4,
4,4,2,2,8,16,2,16,1,1,4,4,1,4,4,4,4,4,2,2,4,2,2,1,2,2,2,8,1],[1,13,10,7,7,5,
12,20,12,12,8,1,1,3,3,5,8,8,4,4,4,4,2,14,2,4,8,16,1,1,2,2,1,4,4,4,2,2,2,2,4,2,
2,4,2,2,1,1,1,2,2,4,4,1],[1,9,14,7,1,8,7,16,12,12,8,12,1,2,3,2,2,3,8,8,8,8,8,
6,2,8,4,2,16,1,1,2,2,1,4,2,2,4,2,2,4,4,2,4,2,4,1,2,2,2,4,4,1],[1,17,30,9,9,2,
24,21,60,66,24,60,4,4,1,1,6,6,24,6,9,24,9,6,8,21,6,8,32,32,48,48,4,4,4,4,8,8,
8,8,16,2,2,2,2,2,2,16,3,3,1,3,12,3,12,12,12,1,4,1,4,4,2,2,4,4,4,16,2,2,2,4,2,
2,2,4,4,16,4,4,16,16,1,1,1,4,4,8,1,4,4,1,1,1,1],[1,15,12,35,18,8,18,15,3,2,6,
36,6,9,2,1,9,6,9,6,3,1,3,1],[1,11,16,2,7,2,12,4,8,26,4,6,8,1,3,4,2,4,2,4,4,4,
6,12,8,8,3,2,6,4,2,1,1,2,2,4,6,4,3,2,6,1,2,1,1,2,1],[1,15,12,35,8,18,18,15,3,
2,6,36,9,6,2,1,9,6,9,6,3,1,3,1],[1,5,22,1,1,11,4,4,8,12,20,10,4,4,2,3,1,3,1,2,
8,4,4,10,8,8,8,2,5,1,2,3,2,2,1,1,1,1,2,2,2,2,2,1,1,1,2,2,2,2,2,2,2,1,1,1,1,1,
1,1,1],[1,9,18,3,3,2,15,4,18,12,4,6,8,4,6,1,1,3,9,4,4,10,4,4,4,4,4,4,2,5,2,1,
2,1,2,2,1,1,1,1,2,2,2,2,2,1,1,1,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,5,22,1,1,8,
11,20,4,12,4,10,4,4,2,1,3,3,2,1,8,4,4,10,8,8,8,2,5,2,3,2,1,2,1,1,1,1,2,2,2,2,
2,1,1,1,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,9,18,1,7,9,8,4,8,4,20,6,8,4,1,2,3,2,
1,1,2,8,2,10,2,4,8,8,8,2,3,2,1,2,3,2,2,1,1,1,2,1,2,2,2,2,1,2,1,1,2,2,2,4,2,1,
1,1,1,1,1,1,1],[1,9,18,7,1,8,9,20,4,4,8,6,8,4,1,2,2,3,1,2,1,8,2,2,10,4,8,8,8,
2,3,2,3,2,1,2,2,1,1,1,2,1,2,2,2,2,1,2,1,1,2,2,2,2,4,1,1,1,1,1,1,1,1],[1,13,14,
3,9,2,13,8,18,4,4,10,4,4,1,6,1,2,1,9,6,14,2,4,4,4,4,4,2,3,1,2,5,2,2,1,1,1,2,3,
2,2,1,2,1,3,2,2,2,4,2,1,1,1,1,1,1,1,1],[1,13,14,7,7,8,7,16,12,4,10,4,4,1,1,2,
2,1,2,3,8,6,14,6,8,8,3,3,2,5,2,2,1,1,2,1,1,2,2,3,3,2,3,2,2,6,1,1,1,1,1,1,1,
1],[1,9,18,1,7,8,9,24,4,4,4,14,4,1,2,1,4,1,2,1,8,2,18,2,4,8,8,2,3,3,2,5,2,1,1,
1,1,2,2,2,1,2,1,1,4,2,2,2,4,2,1,1,1,1,1,1,1,1],[1,17,10,9,9,2,11,26,4,14,4,1,
1,6,1,11,14,10,10,4,4,3,5,2,5,2,1,1,2,3,3,2,3,5,5,6,1,1,1,1,1,1,1,1],[1,13,14,
7,7,7,12,8,4,16,10,4,4,1,1,2,2,1,3,2,8,6,6,14,8,8,3,2,5,2,3,2,1,1,2,1,2,1,2,2,
2,3,3,3,2,6,1,1,1,1,1,1,1,1],[1,9,18,7,1,9,4,4,8,4,24,14,4,1,2,4,1,1,1,2,8,2,
2,18,4,8,8,2,3,5,2,3,2,1,1,1,2,2,1,2,4,1,2,1,1,2,2,2,2,4,1,1,1,1,1,1,1,1],[1,
13,14,9,3,2,13,4,18,4,8,10,4,4,1,6,2,1,1,9,6,2,14,4,4,4,4,4,2,3,2,5,2,1,2,1,1,
1,2,2,3,2,2,1,2,1,3,2,2,2,4,1,1,1,1,1,1,1,1],[1,3,24,1,6,12,8,24,10,4,6,8,1,3,
4,8,2,2,8,6,4,8,16,1,2,4,2,6,2,1,1,2,2,4,2,1,2,2,4,4,4,2,1,2,1,1,2,1],[1,7,20,
2,1,4,4,12,12,8,18,10,8,1,4,1,2,2,4,2,4,4,4,8,6,4,8,8,3,2,6,4,2,1,2,1,2,4,2,4,
1,2,2,4,4,2,1,2,1,1,2,1],[1,3,24,1,4,2,4,20,8,22,4,6,8,3,1,2,12,2,8,6,4,8,8,8,
1,2,2,6,4,2,1,2,1,2,4,2,1,2,2,4,4,4,2,1,2,1,2,1,1],[1,7,20,7,4,12,8,30,10,8,1,
5,12,2,6,20,8,8,5,6,4,2,1,3,2,4,6,5,4,6,1,2,1,1,2,1],[1,3,24,1,8,6,10,24,12,4,
6,8,1,3,4,2,2,8,8,6,4,16,8,2,2,6,4,1,2,1,1,2,2,4,1,2,2,2,4,4,2,4,1,2,1,2,1,
1],[1,7,20,1,2,12,4,18,12,8,4,10,8,1,4,1,2,2,2,4,4,8,6,4,4,4,8,8,2,6,4,3,2,1,
2,1,2,4,1,2,4,2,2,4,2,4,1,2,1,1,2,1],[1,7,20,7,4,12,30,8,10,8,1,5,2,12,6,20,8,
8,6,4,5,2,1,3,2,4,6,5,4,6,1,2,1,1,2,1],[1,3,24,1,4,20,2,22,8,4,4,6,8,3,1,2,2,
12,8,6,4,8,8,8,2,2,6,4,1,2,1,2,2,1,4,1,2,2,2,4,4,2,4,1,2,1,2,1,1],[1,11,16,7,
2,4,2,26,12,8,4,6,8,1,3,4,2,2,4,4,4,4,6,12,8,8,2,6,4,3,2,1,2,4,1,2,4,6,2,3,6,
2,1,1,1,2,1],[1,7,12,7,8,18,4,18,1,3,2,6,12,9,6,6,2,1,6,6,3,6,3,6,1,3,3,1],[1,
3,16,1,2,4,8,8,10,8,6,8,1,1,2,2,8,6,4,4,1,2,4,4,6,2,1,2,4,2,1,4,2,2,1,2,4,4,2,
1,1,2,1,2,1],[1,7,12,7,18,8,4,18,1,3,2,6,12,6,6,9,2,1,6,6,3,6,3,6,1,3,3,1],[1,
3,16,1,8,2,10,8,4,8,6,8,1,1,2,2,8,6,4,4,4,2,6,4,1,2,1,2,4,1,2,2,4,1,2,2,4,2,4,
1,1,2,2,1,1],[1,5,14,1,1,7,4,4,12,4,14,4,4,1,1,3,1,4,4,10,2,5,2,3,2,2,3,2,2,1,
2,2,2,1,1,1,2,2,2,2,1,1,1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,13,6,7,7,3,12,4,6,12,
4,1,1,1,3,6,6,6,3,4,3,2,2,3,4,2,1,2,2,2,1,1,1,2,2,2,3,3,3,6,1,1,1,1,1,1,1,1],[
1,9,10,1,7,5,8,4,4,4,10,8,4,1,1,2,1,1,2,10,2,4,2,3,4,3,2,2,3,2,2,1,2,2,2,1,1,
1,2,2,2,1,2,1,1,2,2,4,2,1,1,1,1,1,1,1,1],[1,9,10,7,1,5,4,4,4,8,10,8,4,1,2,1,1,
1,2,2,10,4,2,3,2,3,2,2,3,4,2,1,2,2,2,1,1,1,2,2,2,2,1,2,1,1,2,2,4,1,1,1,1,1,1,
1,1],[1,13,18,7,7,9,12,12,16,12,16,1,1,3,3,4,3,6,18,18,18,12,24,12,12,20,1,1,
3,3,4,3,3,3,9,3,3,3,3,6,6,3,3,3,6,6,8,24,24,24,1,3,3,3,3,3,3,6,6,1],[1,9,6,1,
7,3,12,12,12,12,1,3,3,8,4,2,8,12,2,8,1,2,2,2,1,2,2,1,2,2,2,1,1,1,1],[1,9,6,1,
7,3,12,12,12,4,8,1,3,3,8,2,4,8,12,2,8,1,2,2,2,1,2,2,1,2,2,2,1,1,1,1],[1,9,6,7,
1,3,12,12,12,12,1,3,3,8,2,12,2,4,8,8,1,2,2,2,2,1,1,2,2,2,2,1,1,1,1],[1,9,6,7,
1,3,12,12,12,4,8,1,3,3,8,2,12,4,2,8,8,1,2,2,2,1,2,1,2,2,2,2,1,1,1,1],[1,9,6,7,
1,3,12,12,4,12,8,1,3,3,8,2,4,2,4,8,8,8,1,2,2,2,2,1,2,1,2,2,2,1,1,1,1],[1,9,6,
7,1,3,12,12,4,4,16,1,3,3,8,2,8,2,16,8,1,4,2,1,4,1,2,4,2,1,1],[1,9,6,1,7,3,12,
12,4,4,16,1,3,3,8,2,8,16,2,8,1,4,2,1,4,1,2,4,2,1,1],[1,9,6,1,7,3,12,12,4,12,8,
1,3,3,8,4,2,8,4,8,2,8,1,2,2,2,1,2,2,1,2,2,2,1,1,1,1],[1,5,10,1,1,8,5,16,4,8,8,
8,2,2,2,1,8,4,2,2,4,4,8,2,2,8,1,1,1,2,2,2,1,2,2,1,2,2,1,1,1,1],[1,5,10,1,1,5,
4,8,16,8,8,8,2,2,1,2,8,4,2,2,4,2,2,4,8,8,1,1,1,2,2,2,1,1,2,2,2,2,1,1,1,1],[1,
9,6,3,3,2,9,18,4,4,6,9,2,2,2,2,2,2,16,8,1,1,4,1,4,4,4,4,4,1,2,4,1],[1,11,8,7,
2,4,2,14,12,8,14,1,1,4,2,4,4,4,4,4,4,8,4,7,8,4,1,1,2,2,1,2,2,6,1,2,2,2,3,1,4,
2,1,1,2,2,1,2,1,2,2,2,1],[1,7,12,1,2,4,4,14,12,4,12,10,1,4,1,2,4,4,4,4,4,4,4,
6,4,5,8,4,1,1,2,2,3,4,4,1,2,2,1,1,2,2,2,2,1,2,1,2,2,1,1,2,2,2,2,1],[1,7,12,1,
2,4,4,14,12,4,12,10,1,4,1,2,4,4,2,2,2,2,4,2,2,6,2,2,5,4,8,4,1,1,1,1,2,1,2,5,3,
1,1,3,1,1,2,1,3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1],[1,11,8,2,7,2,12,4,14,
8,14,1,1,4,2,4,4,4,4,4,7,4,8,4,8,4,1,1,2,2,1,2,2,6,1,2,2,2,1,4,3,1,2,1,2,2,1,
2,1,2,2,2,1],[1,7,12,2,1,4,4,12,4,14,12,10,1,4,1,2,4,4,4,4,4,4,4,5,4,6,8,4,1,
1,2,2,3,4,4,1,2,2,1,2,2,2,1,2,1,2,1,2,2,1,1,2,2,2,2,1],[1,7,12,2,1,4,4,12,4,
14,12,10,1,4,1,2,4,4,2,2,2,2,4,2,5,2,2,4,6,2,8,4,1,1,1,1,2,1,2,5,3,1,1,3,1,2,
1,3,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1],[1,9,14,1,7,7,12,12,8,16,4,1,2,2,
3,3,2,8,8,8,8,2,2,2,8,1,1,1,2,4,2,4,4,4,4,1,2,2,2,1],[1,9,14,7,1,8,7,16,12,12,
4,1,2,3,2,2,3,8,8,8,8,2,2,2,8,1,1,1,2,4,2,4,4,4,4,1,2,2,2,1],[1,13,10,3,9,2,
11,4,18,12,8,1,6,1,9,6,10,2,2,4,4,2,4,4,2,2,10,2,16,4,1,1,1,1,4,1,4,4,2,4,2,1,
1,3,2,2,2,1,3,1,2,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,9,14,3,3,2,13,18,8,8,12,6,2,
9,4,4,8,4,8,2,2,4,2,2,6,8,16,4,1,2,1,4,1,4,4,1,1,2,4,1,2,2,4,2,1,2,4,4,4,2,1,
2,1,1,2,2,2,2,1],[1,13,10,9,3,2,11,18,4,12,8,1,6,1,9,6,2,10,2,4,4,2,4,2,10,2,
2,4,16,4,1,1,1,1,4,1,4,4,2,4,2,1,1,2,3,2,2,1,1,3,2,4,4,1,1,1,1,1,1,1,2,2,2,2,
1],[1,9,14,3,3,2,13,8,18,8,12,6,2,9,4,4,8,4,8,2,6,2,2,8,4,2,16,4,1,2,1,4,1,4,
4,1,1,2,4,1,2,4,2,2,1,2,4,4,4,2,1,2,1,1,2,2,2,2,1],[1,9,14,3,3,2,13,18,8,8,4,
8,6,2,9,4,4,4,8,8,6,6,2,2,2,4,2,2,16,4,1,2,1,4,1,4,4,2,2,4,1,2,4,4,4,1,2,4,4,
2,1,2,1,1,2,2,4,1],[1,7,28,2,1,16,12,36,12,4,16,14,4,10,4,1,4,5,4,8,4,2,4,16,
4,4,4,8,20,8,12,8,5,8,2,8,1,2,1,2,2,1,2,2,1,1,4,5,3,8,8,2,2,4,8,8,2,2,1,1,2,1,
2,2,2,1],[1,19,16,35,2,4,6,14,28,24,8,6,15,1,4,6,6,4,16,4,8,24,12,4,4,4,8,12,
3,8,1,2,1,2,2,1,2,3,1,2,2,12,1,12,3,2,2,8,8,2,2,1,1,2,1,2,2,2,1],[1,7,28,1,2,
4,12,14,12,16,16,36,4,10,1,4,4,5,4,2,4,4,8,4,16,4,4,12,8,20,8,8,2,5,8,8,1,2,1,
2,2,1,2,2,1,1,4,5,8,3,8,2,8,4,2,8,2,2,1,2,1,1,2,2,2,1],[1,19,16,2,35,6,24,28,
4,14,8,6,15,1,4,6,6,16,4,4,8,24,4,4,4,12,8,3,12,8,1,2,1,2,2,1,2,1,2,3,2,1,3,
12,12,2,2,8,8,2,2,1,1,2,1,2,2,2,1],[1,11,24,7,2,4,10,14,20,8,16,32,8,6,1,1,4,
2,6,4,4,2,4,8,8,4,8,2,4,14,4,4,4,6,8,6,12,4,4,3,4,8,1,1,1,1,1,1,2,1,1,1,1,1,2,
1,1,2,3,2,4,1,4,2,4,1,1,4,4,3,3,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,11,
24,2,7,8,10,32,20,4,16,14,8,6,1,2,1,4,6,4,8,2,4,8,4,8,4,2,14,4,4,6,8,6,4,4,12,
4,3,4,4,8,1,1,1,1,1,1,2,1,1,1,1,1,1,1,2,2,2,1,4,4,2,1,4,1,3,3,3,4,4,4,4,4,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,7,28,1,1,1,8,11,22,11,8,28,22,4,2,8,1,2,3,2,3,
7,8,1,2,1,2,2,2,8,6,6,1,3,3,9,2,2,2,2,6,6,12,4,12,3,3,1,4,4,4,4,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,3,4,1,1,1,3,4,2,3,3,3,2,2,3,3,4,3,4,2,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1],[1,9,22,1,7,8,11,20,4,8,16,12,4,1,2,2,2,3,2,1,2,8,8,2,14,2,2,8,8,
24,2,4,2,2,10,4,1,1,1,1,1,2,2,1,1,2,1,2,2,2,2,4,1,2,1,3,6,4,4,4,1,1,1,1,1,2,2,
1,1,2,2,1],[1,9,22,1,7,11,20,12,8,16,4,12,1,2,2,5,3,2,8,8,8,4,12,4,16,8,8,6,2,
8,2,2,4,1,1,2,1,1,1,2,1,2,2,2,2,2,3,4,4,2,2,2,2,4,4,4,1,2,2,1,1,1,1,1,1,2,2,
1],[1,9,22,7,1,8,11,16,4,8,20,12,4,1,2,2,3,2,2,1,2,8,8,2,2,14,2,8,8,24,2,4,10,
2,2,4,1,1,1,1,1,2,2,1,1,2,2,1,2,2,3,2,4,1,1,2,4,6,4,4,1,1,1,1,1,2,2,1,1,2,2,
1],[1,9,22,7,1,8,11,16,12,20,4,12,1,2,5,2,2,3,8,8,8,16,8,4,12,4,8,2,2,2,6,8,4,
1,1,2,1,1,1,2,1,2,2,2,2,2,2,3,4,4,2,4,2,2,4,4,1,2,2,1,1,1,1,1,1,2,2,1],[1,5,
26,1,1,8,13,16,4,8,8,16,8,8,2,2,2,2,2,2,1,2,8,8,4,4,4,16,16,16,6,6,2,4,2,4,1,
1,2,1,2,2,1,2,4,4,4,1,2,4,4,4,4,4,4,1,2,2,2,2,1,1,4,1],[1,7,20,2,1,8,8,20,12,
4,14,8,10,2,1,4,3,2,2,4,8,4,4,4,4,8,4,4,8,4,5,2,8,4,2,8,4,1,1,1,2,1,2,1,2,2,1,
1,2,1,1,2,1,4,2,1,4,2,2,2,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,11,16,2,7,
6,16,20,4,14,4,14,1,1,4,4,4,8,4,4,2,6,6,4,6,4,4,4,7,2,12,2,2,8,4,1,1,3,1,2,1,
1,3,1,3,1,2,1,3,2,1,1,1,1,1,1,3,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1],[1,11,
16,2,7,6,16,20,4,14,12,6,1,1,4,4,4,8,4,4,2,6,2,2,4,4,4,4,8,2,4,3,2,14,8,4,1,1,
2,1,1,2,1,2,2,1,2,2,1,2,1,2,2,1,1,1,1,1,2,2,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1],[1,11,16,2,7,8,6,16,12,4,14,12,6,1,2,1,4,2,2,2,4,8,4,4,12,2,2,2,2,4,4,
4,2,4,3,2,4,10,8,4,1,1,1,1,1,1,2,1,3,1,1,1,1,2,3,1,2,2,1,4,1,1,2,2,1,1,4,4,4,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,11,16,7,2,4,6,14,12,8,16,12,6,1,1,4,2,2,2,
2,4,4,8,4,2,12,2,4,4,2,2,4,2,4,10,2,3,4,8,4,1,1,1,1,1,1,2,1,3,1,1,1,1,2,1,2,3,
2,2,1,4,1,2,1,4,1,1,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,11,16,7,2,4,6,14,
20,16,12,6,1,1,4,4,4,4,8,4,2,2,6,2,4,4,4,4,8,2,4,14,2,3,8,4,1,1,2,1,1,2,1,2,2,
1,2,1,2,2,1,2,2,1,1,1,1,1,2,2,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,7,
20,1,2,4,8,14,12,8,20,8,10,1,4,2,3,2,2,4,4,8,4,4,4,4,8,4,8,4,2,4,2,5,8,8,4,1,
1,1,2,1,2,1,2,2,1,1,2,1,1,1,2,4,2,1,4,2,4,2,2,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1],[1,11,16,7,2,4,6,14,20,16,4,14,1,1,4,4,4,4,8,4,2,6,4,4,6,4,6,4,2,2,2,7,
12,8,4,1,1,3,1,2,1,1,3,1,3,1,2,3,1,2,1,1,1,1,1,3,1,4,4,4,4,1,1,1,1,1,1,1,1,1,
1,1,1,1,2,1],[1,7,20,1,1,1,8,7,14,11,8,4,14,8,2,8,1,2,1,2,1,1,1,2,1,2,2,2,6,6,
1,3,3,5,2,2,2,2,2,2,4,4,4,3,9,2,1,4,4,2,4,4,4,1,1,1,1,1,1,1,1,1,1,3,1,3,1,3,1,
3,1,1,1,1,1,2,1,1,2,2,1,1,1,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,3,
16,1,8,2,10,8,4,4,10,1,1,2,2,8,6,4,2,2,6,3,4,2,4,1,1,2,2,1,2,2,4,2,4,2,4,4,1,
1,1,2,2,1],[1,3,16,1,2,4,8,8,10,4,10,1,1,2,2,8,6,4,3,2,2,6,2,4,4,1,1,2,2,2,1,
2,4,4,2,2,4,4,1,1,1,2,2,1],[1,7,12,7,18,8,14,1,3,2,6,12,6,7,4,2,4,1,1,2,2,6,3,
6,2,4,4,1,1,1,2,2,1],[1,7,12,7,8,18,14,1,3,2,6,12,7,6,2,4,4,1,1,2,2,6,3,6,2,4,
4,1,1,1,2,2,1],[1,9,14,7,1,8,7,16,4,4,8,12,1,2,1,2,2,1,8,2,6,4,8,2,2,4,8,6,4,
8,4,1,1,1,2,1,1,3,3,1,1,5,2,2,1,1,2,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1],[1,5,18,1,1,8,9,16,4,8,12,8,2,2,2,2,1,8,2,2,4,2,4,2,12,4,6,4,4,8,4,1,1,1,2,
2,3,3,1,3,2,2,1,3,1,2,1,1,1,1,3,1,1,1,2,2,1,1,1,1,1,1,1,1,1],[1,5,18,1,1,9,8,
4,8,16,12,8,2,2,2,1,2,8,2,2,2,4,2,4,12,4,4,4,6,8,4,1,1,1,2,2,3,3,1,3,2,1,3,1,
2,2,1,1,1,3,1,1,1,1,2,2,1,1,1,1,1,1,1,1,1],[1,9,14,1,7,7,4,4,8,16,8,12,1,2,2,
1,1,2,8,2,6,2,2,4,8,4,6,4,8,8,4,1,1,1,2,1,1,3,3,1,1,5,2,1,1,2,2,1,2,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,3,8,1,2,6,4,4,6,16,1,1,4,2,4,4,3,4,1,1,2,2,
2,2,1,1,1,1,1],[1,7,4,7,6,18,8,1,1,4,9,4,4,1,1,2,4,2,1,1,1,1,1],[1,3,8,1,2,4,
6,4,6,16,1,1,4,3,4,2,4,4,1,1,2,2,2,2,1,1,1,1,1],[1,7,4,7,6,18,8,1,1,4,4,9,4,1,
1,2,2,4,1,1,1,1,1],[1,1,10,4,1,2,4,2,6,20,1,1,4,1,2,2,4,4,4,1,1,2,2,2,2,1,1,1,
1,1],[1,7,12,7,4,12,18,14,1,3,12,12,7,4,1,3,2,3,2,1,1,1,1],[1,7,12,7,4,12,18,
14,1,3,12,12,7,4,1,3,2,3,2,1,1,1,1],[1,3,16,1,6,6,16,12,4,2,8,1,3,4,8,4,8,2,4,
1,4,1,2,1,2,1,2,2,1,1,1,1],[1,3,16,1,4,2,4,12,18,4,2,8,3,1,12,4,8,1,4,2,4,1,2,
1,2,1,2,2,1,1,1,1],[1,7,12,2,1,4,4,12,4,14,6,8,1,4,1,2,4,4,4,4,4,3,4,4,1,2,1,
2,1,2,2,1,1,1,1],[1,3,16,1,6,12,16,6,4,2,8,1,3,4,8,4,8,1,2,4,4,1,1,2,2,1,2,2,
1,1,1,1],[1,7,12,1,2,4,4,14,12,4,6,8,1,4,1,2,4,4,4,4,4,4,3,4,1,2,1,2,1,2,2,1,
1,1,1],[1,3,16,1,4,12,2,18,4,4,2,8,3,1,12,4,8,2,4,1,4,1,2,1,2,1,2,2,1,1,1,1],[
1,15,4,35,6,6,8,15,1,12,4,3,4,1,2,3,3,2,1,1,1,1],[1,11,8,7,2,4,2,14,12,4,10,1,
1,4,2,4,4,4,4,4,2,5,4,1,2,1,2,2,1,2,1,1,1,1],[1,11,8,2,7,2,12,4,14,4,10,1,1,4,
2,4,4,4,4,4,5,2,4,1,1,2,2,1,2,2,1,1,1,1],[1,15,4,35,6,6,8,15,1,12,3,4,4,1,3,2,
3,2,1,1,1,1],[1,7,4,7,6,4,6,8,1,1,4,6,4,3,4,1,2,2,2,1,1,2,1,1,1,1],[1,3,8,1,2,
6,4,8,2,8,1,1,4,4,4,4,1,4,1,2,2,1,2,1,2,1,1,1,1],[1,3,8,1,2,4,6,8,2,8,1,1,4,4,
1,4,4,4,1,2,2,1,2,1,2,1,1,1,1],[1,7,4,7,6,4,6,8,1,1,4,3,6,4,4,1,2,2,1,2,1,2,1,
1,1,1],[1,7,12,7,4,8,6,4,10,8,1,1,2,8,4,4,8,5,2,4,1,2,2,1,1,2,2,1,1,1,1],[1,7,
12,7,4,6,8,4,10,8,1,1,2,8,4,4,8,2,4,5,1,2,2,2,1,1,2,1,1,1,1],[1,3,16,1,6,12,6,
6,16,1,3,12,12,3,4,4,1,2,2,3,3,1,1,1,1],[1,3,16,1,6,6,12,6,16,1,3,12,12,4,4,3,
1,2,2,3,3,1,1,1,1],[1,1,18,4,5,2,4,8,2,2,20,2,1,1,4,8,4,8,1,2,4,4,1,2,2,1,1,2,
2,1,1,1,1],[1,9,6,1,7,3,4,4,12,4,8,1,1,1,2,6,2,2,2,4,4,4,8,2,4,1,1,1,2,2,2,2,
1,1,2,1,1,1,1,4,4,1,1,1,1,1,1,1,1],[1,5,10,1,1,5,4,8,16,8,2,1,4,4,4,6,6,2,4,4,
2,4,2,1,2,2,2,2,1,1,1,1,1,1,2,4,4,1,1,1,1,1,1,1,1],[1,9,6,7,1,3,4,4,12,4,8,1,
1,1,2,2,6,2,2,4,2,8,4,4,4,1,1,1,2,2,2,2,1,1,2,1,1,1,1,4,4,1,1,1,1,1,1,1,1],[1,
5,2,1,1,1,4,8,12,1,4,2,2,2,4,4,1,1,1,1,1,2,2,2,2,2,2,2,1,1,1,1],[1,7,20,7,4,8,
8,18,4,6,1,3,2,2,8,4,6,12,8,3,2,6,2,4,1,6,1,3,2,2,6,2,4,4,1,1,1,2,2,1],[1,3,
24,1,6,12,8,8,10,10,1,3,2,2,12,16,6,4,3,2,6,2,4,1,2,3,3,2,4,4,2,2,4,4,1,1,1,2,
2,1],[1,3,24,1,8,6,10,8,12,10,1,3,2,2,16,6,4,12,2,6,3,2,4,1,3,3,2,2,4,2,4,2,4,
4,1,1,1,2,2,1],[1,7,20,7,4,18,8,8,4,6,1,3,2,2,8,6,12,4,8,2,6,3,2,4,1,2,1,6,3,
2,6,2,4,4,1,1,1,2,2,1],[1,5,18,1,1,9,8,4,8,12,2,2,1,4,4,4,4,4,4,4,2,8,4,8,4,4,
4,2,2,1,1,1,1,1,2,2,4,4,4,4,2,2,2,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,5,10,1,1,5,4,
8,4,12,2,1,4,4,4,4,2,2,4,8,4,4,2,1,1,1,2,1,2,1,2,4,4,2,2,2,1,1,1,2,2,1],[1,5,
10,1,1,5,8,4,4,12,2,1,4,4,4,4,2,2,8,4,4,4,2,1,1,1,2,1,2,1,2,4,4,2,2,2,1,1,1,2,
2,1],[1,3,4,1,3,3,10,6,4,1,3,2,3,2,12,4,4,3,1,2,1,2,2,1,1,1,1],[1,3,12,1,7,3,
8,6,6,4,1,2,4,4,4,3,3,2,12,4,3,1,2,2,1,2,1,1,1,1],[1,6,9,5,8,1,9,9,1,3,15,3,4,
1,2,1,3,3,4,3,1,1,1],[1,6,9,5,8,1,9,9,1,3,15,3,4,1,2,1,3,3,4,3,1,1,1],[1,9,5,
8,1,3,3,4,9,3,4,1,2,3,1,3,4,1,3,1,1],[1,9,5,8,3,1,3,4,9,3,4,1,2,1,3,3,4,1,3,1,
1],[1,3,18,5,8,1,9,9,18,24,3,9,4,1,2,1,3,3,4,3,6,3,1,1],[1,3,18,5,8,1,9,9,18,
24,3,9,4,1,2,1,3,3,4,3,6,3,1,1],[1,21,8,5,1,9,9,24,18,3,9,4,1,1,1,1,3,3,4,3,3,
3,3,1,1],[1,6,15,2,2,9,9,9,2,6,8,6,6,9,1,6,6,1,2,2,1,1,1,1],[1,15,35,16,15,1,
1],[1,15,35,16,15,1,1],[1,21,6,16,3,21,2,9,18,18,16,3,6,9,18,18,9,12,8,1,9,9,
12,3,1,1],[1,21,6,16,21,3,2,9,18,18,16,3,6,9,18,18,9,12,8,1,9,9,12,3,1,1],[1,
9,18,16,3,3,2,15,12,18,6,12,16,6,3,9,6,6,12,12,6,3,12,8,1,3,6,3,6,4,8,3,1,1],[
1,9,18,16,3,3,2,15,18,12,6,12,16,6,3,9,6,6,12,12,3,6,12,8,1,3,6,6,3,4,8,3,1,
1],[1,9,18,16,3,3,2,15,18,12,6,12,16,6,3,9,6,6,12,12,3,6,12,8,1,3,6,3,6,4,8,3,
1,1],[1,9,18,16,3,3,2,15,18,12,6,12,16,6,3,9,6,6,12,12,3,6,12,8,1,3,6,6,3,4,8,
3,1,1],[1,15,12,16,35,18,18,16,15,3,36,9,20,1,9,9,12,3,1,1],[1,15,12,16,35,18,
18,16,15,3,36,9,20,1,9,9,12,3,1,1],[1,3,24,16,1,4,12,12,24,6,12,16,3,12,3,6,6,
12,12,3,6,4,16,1,3,6,3,6,4,8,3,1,1],[1,3,24,16,1,4,12,12,24,6,12,16,3,12,3,6,
6,12,12,3,6,4,4,12,1,3,6,3,6,4,4,4,3,1,1],[1,3,24,16,1,4,12,24,12,6,12,16,3,3,
12,6,6,12,12,3,6,4,16,1,3,6,3,6,4,8,3,1,1],[1,3,24,16,1,4,12,24,12,6,12,16,3,
3,12,6,6,12,12,3,6,4,4,12,1,3,6,3,6,4,4,4,3,1,1],[1,13,18,16,3,9,2,24,15,60,
42,16,1,6,6,24,9,6,8,15,32,48,12,8,3,1,3,12,12,4,8,8,1,1,1],[1,13,18,16,9,3,2,
15,42,24,60,16,1,6,6,9,24,15,6,8,32,48,12,8,3,1,3,12,12,4,8,8,1,1,1],[1,9,22,
16,3,1,4,15,24,48,60,16,4,4,6,16,8,3,18,24,12,60,4,4,12,1,12,3,12,3,4,4,4,8,1,
1,1],[1,9,22,16,1,3,4,48,15,60,24,16,4,4,16,8,6,18,24,3,12,60,4,4,12,1,12,3,
12,3,4,4,4,8,1,1,1],[1,13,6,16,7,7,3,12,4,6,16,1,1,1,3,6,6,6,3,3,3,2,4,4,4,3,
3,3,6,4,4,4,8,1,1],[1,7,12,16,7,18,8,6,16,1,3,2,6,12,6,3,2,4,8,6,3,6,4,8,8,1,
1],[1,7,12,16,7,8,18,6,16,1,3,2,6,12,3,6,2,4,8,6,3,6,4,8,8,1,1],[1,21,18,4,3,
35,9,36,36,12,4,12,12,15,9,9,24,12,36,18,1,4,12,12,1,3,3,18,18,1,3,3,4,3,1,3,
3,1],[1,21,18,4,35,3,9,36,36,12,4,12,12,15,9,9,24,12,36,18,1,4,12,12,1,3,3,18,
18,1,3,3,4,3,1,3,3,1],[1,15,24,4,7,4,12,6,42,36,12,6,6,4,12,12,1,3,12,3,6,12,
8,12,6,6,12,6,6,12,3,3,12,1,4,12,12,1,3,3,3,3,3,3,12,12,1,1,2,1,2,4,3,1,1,2,1,
2,1],[1,9,30,4,1,3,24,12,42,21,16,12,4,12,12,3,6,3,4,8,3,6,6,18,12,12,24,6,12,
1,4,12,12,1,3,3,6,12,6,12,1,2,1,1,2,4,3,1,1,2,1,2,1],[1,15,24,4,4,7,6,12,36,
12,42,6,6,4,12,12,1,3,12,3,6,8,12,12,6,6,6,6,12,12,3,3,12,1,4,12,12,1,3,3,3,3,
3,3,12,12,1,1,2,1,2,4,3,1,1,1,2,2,1],[1,9,30,4,1,3,12,21,24,16,42,12,4,12,12,
3,3,6,4,3,6,6,8,18,12,12,24,6,12,1,4,12,12,1,3,3,12,6,6,12,1,1,2,1,2,4,3,1,1,
2,1,2,1],[1,3,16,16,1,6,12,6,6,16,1,3,12,12,3,4,1,3,3,4,1,1,1],[1,3,16,16,1,6,
6,12,6,16,1,3,12,12,3,4,1,3,3,4,1,1,1],[1,13,6,16,9,3,2,9,18,6,16,1,6,9,6,6,3,
12,8,1,3,3,4,1,1,1],[1,13,6,16,3,9,2,9,18,6,16,1,6,9,6,6,3,12,8,1,3,3,4,1,1,
1],[1,15,4,16,35,6,6,16,15,1,12,3,20,1,3,3,4,1,1,1],[1,7,12,16,7,4,12,18,6,16,
1,3,12,12,3,4,16,1,3,3,4,1,1,1],[1,15,4,16,35,6,6,16,15,1,12,3,20,1,3,3,4,1,1,
1],[1,7,12,16,7,4,12,18,6,16,1,3,12,12,3,4,16,1,3,3,4,1,1,1],[1,3,4,16,1,3,3,
6,6,16,1,3,3,12,4,3,4,1,1],[1,1,30,4,12,3,6,12,4,6,4,12,16,4,1,3,3,12,12,12,3,
3,6,1,4,4,4,1,3,3,3,3,3,3,2,2,1,4,3,1,1,1,1],[1,7,24,4,7,6,12,18,10,6,16,4,1,
3,3,12,12,12,3,9,1,4,4,4,1,3,3,3,3,3,3,2,2,1,4,3,1,1,1,1],[1,7,24,4,7,6,18,12,
10,6,16,4,1,3,3,12,12,12,9,3,1,4,4,4,1,3,3,3,3,3,3,2,2,1,4,3,1,1,1,1],[1,15,
12,4,35,18,18,8,12,15,3,36,9,1,4,4,4,1,9,9,2,3,4,3,1,1,1,1],[1,9,18,4,7,1,9,
12,24,6,12,8,12,1,6,3,8,12,6,12,6,3,6,1,4,4,4,1,3,3,3,3,3,3,2,1,2,4,3,1,1,1,
1],[1,15,12,4,35,18,18,8,12,15,3,36,9,1,4,4,4,1,9,9,2,3,4,3,1,1,1,1],[1,9,18,
4,1,7,9,24,12,6,12,8,12,1,6,3,8,12,6,12,6,6,3,1,4,4,4,1,3,3,3,3,3,3,2,1,2,4,3,
1,1,1,1],[1,3,24,4,1,6,12,12,16,6,6,12,8,12,3,4,8,3,6,6,24,3,6,1,4,4,4,1,3,6,
3,6,2,1,2,4,3,1,1,1,1],[1,3,24,4,1,12,6,6,16,12,6,12,8,12,3,4,3,8,6,6,24,3,6,
1,4,4,4,1,3,6,3,6,2,1,2,4,3,1,1,1,1],[1,3,24,4,1,3,3,16,12,18,6,12,8,12,1,2,3,
3,3,6,6,6,6,6,12,3,6,1,4,4,4,1,3,3,3,3,3,3,2,1,2,4,3,1,1,1,1],[1,3,24,4,1,4,
12,12,24,6,12,8,12,3,12,3,6,6,12,12,3,6,1,4,4,4,1,3,6,3,6,2,3,4,3,1,1,1,1],[1,
3,24,4,1,4,12,12,24,6,12,8,12,3,12,3,6,6,12,12,3,6,1,4,4,4,1,3,6,3,6,2,3,4,3,
1,1,1,1],[1,3,24,4,1,4,12,24,12,6,12,8,12,3,3,12,6,6,12,12,3,6,1,4,4,4,1,3,6,
3,6,2,3,4,3,1,1,1,1],[1,3,24,4,1,16,3,18,3,12,6,12,8,12,1,2,3,3,3,6,6,6,6,6,
12,3,6,1,4,4,4,1,3,3,3,3,3,3,2,1,2,4,3,1,1,1,1],[1,3,24,4,1,4,12,24,12,6,12,8,
12,3,3,12,6,6,12,12,3,6,1,4,4,4,1,3,6,3,6,2,3,4,3,1,1,1,1],[1,9,18,4,3,3,2,15,
18,12,6,12,8,12,6,3,9,6,6,12,12,3,6,1,4,4,4,1,3,6,6,3,2,3,4,3,1,1,1,1],[1,13,
6,4,3,7,3,12,10,12,4,4,4,1,3,6,6,6,9,12,1,4,4,4,1,3,3,3,3,3,3,1,1,1,4,3,1,1,1,
1],[1,13,6,4,7,3,3,12,10,12,4,4,4,1,3,6,6,9,6,12,1,4,4,4,1,3,3,3,3,3,3,1,1,1,
4,3,1,1,1,1],[1,7,12,4,3,9,9,4,4,6,12,4,4,4,3,1,6,6,3,3,3,6,12,1,4,4,4,1,3,3,
3,3,3,3,1,1,1,4,3,1,1,1,1],[1,17,6,4,35,1,3,12,12,4,20,15,3,3,8,4,12,6,1,4,4,
4,1,1,1,6,6,3,2,4,1,1,1,1,1],[1,5,18,4,1,1,9,12,28,12,4,20,3,3,7,8,8,1,3,3,9,
3,3,1,4,4,4,1,1,1,3,3,3,3,1,2,2,4,1,1,1,1,1],[1,17,6,4,1,35,3,12,12,4,20,15,3,
3,8,4,12,6,1,4,4,4,1,1,1,6,6,3,2,4,1,1,1,1,1],[1,3,12,16,1,6,12,16,3,6,3,6,3,
6,4,1,3,3,4,3,1,1],[1,3,12,16,1,6,12,16,3,6,6,3,3,6,4,1,3,3,4,3,1,1],[1,3,4,
16,1,6,6,6,16,1,3,3,4,1,3,3,4,1,1,1],[1,3,4,16,1,6,6,6,16,1,3,3,4,1,3,3,4,1,1,
1],[1,5,6,4,1,1,3,10,20,1,3,3,3,3,6,3,3,10,4,4,4,1,1,3,1,3,3,3,1,4,1,1,1,1,
1],[1,3,12,4,1,6,12,8,12,3,6,3,6,3,4,6,4,4,4,1,3,3,6,6,1,4,3,1,1,1,1],[1,3,12,
4,1,6,12,8,12,3,6,6,3,4,3,6,4,4,4,1,3,3,6,6,1,4,3,1,1,1,1],[1,15,35,8,15,8,1,
1,1],[1,15,35,8,15,8,1,1,1],[1,10,15,10,15,5,15,6,10,10,10,15,6,5,10,6,5,1,
1],[1,25,10,5,15,15,6,20,10,15,6,5,10,6,5,1,1],[1,25,10,5,15,15,6,20,10,15,6,
5,10,6,5,1,1],[1,25,10,5,15,15,6,20,10,15,6,5,10,6,5,1,1],[1,3,8,14,1,21,1,7,
3,7,1,2,1,1,3,1,1],[1,29,42,49,7,14,63,126,168,252,28,17,42,42,63,168,48,63,
126,168,168,504,28,84,42,1,14,168,21,7,63,252,126,7,42,42,42,42,7,21,42,14,42,
21,1,7,7,1],[1,29,42,7,49,14,168,63,252,126,28,17,42,42,168,48,63,126,168,63,
168,504,28,84,42,1,14,168,21,7,63,252,126,7,42,42,42,42,7,21,42,14,42,21,1,7,
7,1],[1,21,50,21,7,14,67,126,168,16,260,4,8,16,3,42,42,65,168,48,4,63,126,168,
168,8,504,4,8,4,8,16,8,16,16,32,4,2,8,4,8,16,14,168,1,21,7,63,252,126,1,2,4,2,
4,8,2,4,4,4,8,8,16,8,16,2,4,8,16,8,2,4,4,4,8,8,16,1,2,4,21,42,2,4,2,4,8,4,8,
16,8,1,2,2,4,4,8,1,1,2,4,1,2,4,1],[1,21,50,7,21,14,168,67,260,126,16,4,8,16,3,
42,42,168,48,65,4,8,126,168,63,168,504,8,4,4,8,16,8,16,16,32,4,4,8,8,16,2,14,
168,1,21,7,63,252,126,1,2,4,2,4,8,8,16,4,2,4,4,8,8,16,4,8,16,8,2,4,2,4,4,8,16,
8,1,2,4,21,42,8,2,4,2,4,8,4,8,16,1,2,2,4,4,8,1,1,2,4,1,2,4,1],[1,29,42,35,35,
21,84,84,112,84,28,15,15,21,21,28,56,21,56,56,56,28,84,84,84,42,84,42,42,56,1,
1,7,7,7,7,7,7,21,21,28,21,14,14,42,42,42,42,42,84,84,42,42,42,84,84,56,168,
168,168,7,7,21,21,21,28,28,84,84,84,42,42,42,84,56,7,7,21,28,1],[1,25,54,13,
21,14,168,69,252,150,24,60,12,12,3,1,42,42,168,6,9,24,48,63,126,168,69,6,8,
168,32,504,48,12,12,12,12,24,24,24,24,48,6,6,6,6,6,6,48,14,168,3,21,7,3,12,63,
252,126,12,3,12,3,12,12,6,12,6,6,6,12,6,6,12,12,12,48,6,6,6,12,6,6,6,12,12,48,
12,12,48,48,3,3,3,12,12,24,3,12,12,21,1,42,2,6,6,12,2,6,6,6,12,6,6,12,6,12,3,
1,6,6,6,6,3,3,1],[1,25,54,21,13,14,24,69,60,150,168,252,12,12,1,3,6,42,24,42,
63,168,48,9,6,8,69,126,168,32,168,48,504,12,12,12,12,24,24,24,24,48,6,6,6,6,6,
6,48,14,168,21,3,7,63,252,3,12,12,126,3,12,3,12,12,6,12,6,6,6,12,6,6,12,12,12,
48,6,6,6,12,6,6,6,12,12,48,12,12,48,48,3,3,3,12,12,24,3,12,12,1,21,42,2,6,6,
12,2,6,6,6,12,6,6,12,6,12,3,1,6,6,6,6,3,3,1],[1,17,30,1,35,15,12,12,24,32,48,
4,36,15,6,6,3,8,3,6,8,16,24,4,12,24,24,72,18,6,24,6,6,24,8,1,2,1,3,1,6,6,3,12,
2,6,12,18,6,24,6,12,18,6,6,12,24,24,24,1,3,6,6,6,3,4,12,6,6,6,12,12,1,3,3,4,4,
1],[1,9,38,1,7,19,20,12,24,48,48,12,12,16,1,6,6,5,12,8,3,6,8,16,24,8,4,4,24,
24,24,16,32,4,6,6,8,16,14,6,24,8,1,2,1,3,2,1,4,6,3,4,8,2,4,2,4,2,4,8,4,8,6,24,
6,12,2,6,4,2,4,12,4,8,24,24,24,3,1,6,2,4,2,4,2,1,4,12,2,2,4,4,6,4,8,4,8,1,1,2,
1,2,4,4,1],[1,17,30,35,1,24,15,48,12,32,12,4,36,15,6,3,6,8,16,6,3,8,24,4,12,
24,24,72,6,6,6,24,18,24,8,1,2,1,3,1,6,6,3,12,2,6,12,18,6,6,6,12,24,6,18,12,24,
24,24,1,3,6,6,6,3,4,12,6,6,6,12,12,1,3,3,4,4,1],[1,9,38,7,1,24,19,48,12,48,20,
12,12,16,1,6,5,6,12,16,6,3,8,8,24,4,8,4,24,24,24,32,16,4,6,14,6,24,8,6,16,8,2,
1,1,3,2,1,6,4,3,4,8,2,4,2,2,4,4,4,8,8,2,6,6,12,24,2,4,6,4,12,4,8,24,24,24,3,1,
6,2,2,4,4,2,1,4,12,2,2,4,4,6,8,4,4,8,1,1,2,1,2,4,4,1],[1,13,34,7,7,8,17,44,20,
48,28,24,8,8,1,1,2,7,9,12,16,2,5,8,8,16,8,4,28,20,28,8,8,8,16,16,10,20,4,18,2,
4,8,2,8,8,8,2,2,1,1,1,2,2,2,4,2,1,1,2,4,2,2,4,2,1,2,1,2,2,2,4,2,2,4,4,2,4,4,4,
2,2,4,10,6,6,12,12,2,6,2,2,16,4,4,16,4,8,16,8,16,1,2,2,1,4,2,2,1,2,1,2,2,1,1,
1,4,4,8,1,1,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,21,
26,35,7,8,13,28,36,16,36,16,16,8,1,15,2,9,5,4,2,9,8,24,8,8,12,20,36,12,8,8,24,
16,6,12,4,18,2,4,8,6,8,8,8,8,1,1,3,1,1,3,3,2,2,1,3,2,2,4,2,4,2,2,1,4,2,1,2,6,
2,2,4,2,4,4,18,2,2,4,6,6,12,12,6,2,18,6,12,4,4,24,24,3,1,3,3,2,2,1,2,1,2,2,1,
1,1,4,12,1,1,2,2,2,2,2,6,2,2,2,2,2,2,4,2,2,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,13,
34,7,7,17,28,20,8,48,44,24,8,8,1,1,2,9,7,12,16,5,2,8,8,16,8,4,20,28,28,8,8,8,
16,16,10,20,2,8,2,4,8,18,4,8,8,2,2,1,1,1,2,2,2,4,2,1,1,2,2,4,2,4,2,1,2,2,4,2,
2,1,2,2,4,4,4,2,4,6,2,2,4,10,6,2,6,12,12,2,4,2,16,4,4,16,4,8,16,8,16,1,2,2,1,
4,1,2,1,2,2,2,2,1,1,1,4,4,8,2,2,1,1,2,2,2,2,4,2,2,2,2,2,2,2,4,2,4,1,1,1,1,1,1,
1,2,2,2,2,1],[1,21,26,7,35,13,36,36,8,16,28,16,16,8,15,1,2,5,9,4,8,9,2,24,8,8,
12,36,20,12,8,8,24,16,6,12,6,8,2,8,4,8,18,4,8,8,1,1,1,3,1,3,3,2,2,1,3,2,2,2,4,
4,2,1,2,4,2,2,2,1,2,6,4,4,2,4,2,2,2,4,6,6,6,12,12,18,18,6,4,12,4,24,24,3,1,3,
3,2,1,2,1,2,2,2,1,1,1,4,12,2,2,1,1,2,2,2,6,2,2,2,2,2,2,2,4,2,4,1,1,1,1,1,1,1,
2,2,2,2,1],[1,21,34,3,35,4,21,36,48,48,60,12,24,15,4,4,6,16,8,9,9,18,24,24,12,
60,12,36,12,12,12,24,48,24,12,6,24,18,6,24,12,1,1,12,3,3,12,3,3,6,3,6,3,3,6,
12,3,6,12,9,3,6,12,6,3,6,12,12,18,18,6,6,24,12,24,12,12,3,3,6,1,3,3,3,6,4,6,3,
6,1,3,3,3,6,2,6,3,9,6,6,6,3,3,6,12,6,6,6,6,6,1,3,3,3,3,3,3,6,6,1],[1,13,42,3,
7,4,16,25,44,32,48,16,60,20,16,1,4,4,4,6,16,8,7,4,8,4,5,18,24,8,12,16,60,4,20,
8,8,12,20,12,24,16,56,4,12,8,4,2,16,18,2,24,4,8,1,12,1,1,3,12,2,3,2,3,4,1,2,6,
1,5,10,8,2,1,2,12,5,4,7,6,2,6,10,5,6,4,8,8,16,4,4,4,2,4,14,6,8,4,8,16,4,8,8,8,
8,4,4,1,2,4,1,2,2,1,1,1,5,6,2,4,4,4,2,1,2,2,1,3,2,1,4,3,2,2,6,3,1,8,4,2,2,4,6,
1,2,1,2,2,4,4,4,8,6,2,6,2,4,4,2,1,2,1,1,2,1,2,1,2,1,2,2,1,2,2,2,4,2,1],[1,21,
34,35,3,4,48,21,60,48,36,12,24,15,4,4,16,9,8,6,18,24,9,12,24,60,12,36,24,48,
12,12,12,24,6,18,6,12,24,24,12,1,1,12,3,3,12,3,3,6,3,6,3,3,6,12,3,6,12,9,12,3,
6,6,18,3,6,12,18,12,12,6,6,24,24,12,12,3,3,6,1,3,3,3,6,4,6,3,6,1,3,3,3,6,2,6,
3,9,6,6,6,3,3,6,12,6,6,6,6,6,1,3,3,3,3,3,3,6,6,1],[1,13,42,7,3,4,48,25,60,32,
16,16,44,20,16,1,4,4,16,4,7,8,6,4,18,24,5,4,12,8,8,60,16,4,8,20,8,24,16,12,20,
12,56,4,12,2,18,2,4,8,16,24,4,8,1,12,1,1,2,3,12,3,2,3,4,1,2,6,1,5,10,8,2,1,2,
12,5,2,6,4,7,6,10,4,5,8,6,4,8,16,4,4,2,4,4,8,4,16,6,14,8,8,8,4,8,8,4,1,2,4,1,
2,2,1,1,5,1,6,2,2,4,4,2,4,1,2,1,3,2,1,4,3,2,2,6,3,1,8,2,2,4,4,6,2,1,2,1,2,4,4,
4,8,6,2,6,2,4,4,2,1,2,1,1,2,1,2,1,2,1,2,2,1,2,2,2,2,4,1],[1,17,6,35,1,3,12,12,
16,12,24,15,3,3,8,4,12,6,6,12,6,24,24,8,8,1,1,1,6,6,6,6,2,2,3,6,3,6,6,6,6,1,3,
3,6,6,6,6,1,3,3,1],[1,9,14,7,1,7,12,16,20,24,20,8,1,5,4,3,8,8,4,8,4,4,6,14,4,
6,4,8,8,24,8,8,1,1,2,1,2,2,6,6,6,2,2,2,3,2,3,6,2,2,2,2,2,2,4,4,1,1,1,1,3,2,2,
2,2,2,2,6,6,1,1,1,1,1,1,1,1],[1,17,6,1,35,3,12,12,16,12,24,15,3,3,8,4,12,6,12,
24,6,6,24,8,8,1,1,1,6,6,6,6,2,2,3,6,3,6,6,6,6,1,3,3,6,6,6,6,1,3,3,1],[1,9,14,
1,7,7,20,12,16,24,20,8,1,5,4,8,3,8,8,4,4,4,4,6,8,4,8,14,6,24,8,8,1,1,2,1,2,2,
6,6,6,2,2,3,2,2,2,3,6,2,2,2,2,4,2,4,1,1,1,1,3,2,2,2,2,2,2,6,6,1,1,1,1,1,1,1,
1],[1,21,18,35,7,9,12,36,16,36,20,8,16,1,15,9,3,4,9,8,24,8,12,12,36,12,6,12,4,
18,8,8,16,18,16,16,8,1,1,3,1,3,2,3,2,4,4,3,4,4,4,4,4,2,2,4,2,4,2,2,4,4,18,6,6,
12,12,6,18,12,24,24,3,3,3,1,2,1,2,2,4,12,2,2,6,4,4,4,4,4,4,8,1,2,2,2,2,1,1,4,
1],[1,21,18,7,35,9,36,36,16,12,20,8,16,15,1,3,9,4,8,9,24,8,12,36,12,12,6,12,
18,8,16,18,4,8,16,16,8,1,1,1,3,2,3,3,4,2,4,3,4,4,4,4,4,2,2,4,2,2,2,4,4,4,6,6,
12,12,18,18,6,12,24,24,3,3,3,2,1,2,1,2,4,12,2,2,6,4,4,4,4,4,4,8,1,2,2,2,2,1,1,
4,1],[1,13,26,7,7,13,28,20,48,28,28,16,1,1,7,7,12,16,5,8,8,16,4,20,20,28,10,
20,4,18,8,18,4,8,32,8,2,2,1,1,2,2,2,2,4,2,2,1,4,4,4,4,4,4,2,2,2,2,4,2,2,2,4,2,
2,4,10,6,6,12,12,2,4,2,16,16,8,16,8,16,2,2,1,4,1,1,1,1,2,2,4,4,8,2,2,2,4,4,4,
4,4,4,4,4,4,1,2,2,2,2,1,1,4,1],[1,9,22,7,1,8,11,16,12,16,20,20,28,1,2,5,2,4,2,
3,8,8,8,4,8,4,8,8,16,12,6,14,2,8,4,10,16,16,1,1,1,2,1,2,2,4,1,4,2,4,2,4,4,2,2,
4,4,2,2,4,4,4,2,2,4,2,4,2,4,4,4,1,1,2,2,2,2,1,2,2,2,2,4,4,4,4,4,4,1,1,2,1,2,
1],[1,17,14,35,1,8,7,16,12,12,12,20,16,15,2,3,2,2,3,8,8,4,12,8,24,8,6,6,2,8,8,
4,6,8,16,16,1,1,1,1,2,2,2,4,1,4,2,2,4,4,2,2,4,4,2,4,6,4,4,6,2,4,6,6,4,1,1,2,2,
2,1,2,2,2,2,2,4,4,4,4,4,4,1,1,2,1,2,1],[1,13,18,7,7,8,9,28,20,12,16,8,24,1,1,
2,3,5,2,5,8,8,8,4,12,4,4,8,8,8,2,4,14,2,12,16,4,2,24,8,1,1,1,2,4,6,1,1,2,2,2,
4,4,1,6,1,2,2,2,2,2,4,6,4,2,2,4,2,2,4,2,2,2,2,4,1,1,1,1,2,2,3,1,1,1,1,2,2,2,4,
2,4,2,2,8,1,1,1,1,1,1,1,1],[1,13,18,7,7,8,9,28,20,12,16,24,8,1,1,2,3,5,2,5,8,
8,8,4,12,4,4,8,8,8,2,4,14,2,4,4,10,16,8,24,1,1,1,2,4,2,1,1,4,2,4,4,2,2,4,1,2,
1,2,4,2,2,4,2,2,4,2,2,2,4,2,2,4,2,2,2,2,4,1,1,1,1,2,2,1,1,1,2,1,1,2,2,4,4,2,2,
2,2,4,4,1,1,1,1,1,1,1,1],[1,9,22,7,1,8,11,16,12,16,20,20,12,16,1,2,5,2,4,2,3,
8,8,8,4,8,4,8,8,16,12,6,14,2,8,8,4,2,16,16,1,1,1,2,1,2,2,4,1,4,2,2,4,4,2,4,2,
4,2,2,4,4,4,4,2,2,4,2,4,2,4,4,4,1,1,2,2,2,2,1,2,2,2,2,2,4,2,2,2,4,4,4,1,1,1,1,
1,1,1,1],[1,9,22,1,7,11,20,12,8,16,16,20,28,1,2,2,5,4,8,3,2,8,8,8,4,4,8,8,16,
12,10,4,2,16,14,6,8,16,1,1,1,2,2,1,4,2,1,4,2,2,4,4,2,4,2,4,2,4,4,2,4,4,2,4,2,
2,4,2,4,4,4,1,1,2,2,2,1,2,2,2,2,2,4,4,4,4,4,4,1,1,2,1,2,1],[1,17,14,1,35,7,12,
12,8,16,12,20,16,15,2,2,3,3,2,8,8,4,12,8,24,8,6,4,2,8,8,16,6,6,8,16,1,1,1,1,2,
2,4,2,1,4,2,2,4,4,2,2,4,4,2,4,6,4,4,2,4,6,6,6,4,1,1,2,2,1,2,2,2,2,2,2,4,4,4,4,
4,4,1,1,2,1,2,1],[1,13,18,7,7,9,12,20,8,28,16,8,24,1,1,2,5,3,5,2,8,8,8,4,4,12,
4,8,8,8,2,2,4,2,12,24,14,4,16,8,1,1,1,2,6,4,1,1,2,2,2,4,4,1,6,2,2,2,1,2,2,4,4,
6,2,2,2,4,2,2,2,4,2,2,4,1,1,1,1,2,3,1,2,1,1,1,2,2,2,2,4,4,2,2,8,1,1,1,1,1,1,1,
1],[1,13,18,7,7,9,12,20,8,28,16,24,8,1,1,2,5,3,5,2,8,8,8,4,4,12,4,8,8,8,2,10,
4,2,16,4,8,14,4,24,1,1,1,2,4,2,1,1,2,4,2,4,4,2,1,4,2,2,4,2,2,1,2,4,2,4,2,2,2,
2,4,2,2,2,4,2,2,4,1,1,1,1,2,2,1,1,2,1,1,1,2,2,2,2,4,4,2,2,4,4,1,1,1,1,1,1,1,
1],[1,9,22,1,7,11,20,12,8,16,16,20,12,16,1,2,2,5,4,8,3,2,8,8,8,4,4,8,8,16,12,
2,4,2,8,16,14,6,8,16,1,1,1,2,2,1,4,2,1,4,2,2,4,4,2,4,2,2,4,2,4,4,4,4,2,4,2,2,
4,2,4,4,4,1,1,2,2,2,1,2,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,1,1,1,1,1],[1,17,30,9,9,
2,24,21,60,66,24,60,4,4,32,1,1,6,6,24,6,9,24,9,6,8,21,6,8,32,32,48,48,4,4,4,4,
8,8,8,8,16,2,2,2,2,16,2,2,32,16,3,3,1,3,12,3,12,12,12,8,1,4,1,4,4,8,8,16,16,2,
2,4,4,4,16,2,2,2,4,2,2,2,4,4,16,4,4,16,16,1,1,1,4,4,8,1,4,4,1,1,4,8,1,4,4,8,2,
2,2,1,1],[1,17,30,9,9,2,24,21,60,66,24,60,20,4,16,1,1,6,6,24,6,9,24,9,6,8,21,
6,8,32,32,48,48,4,4,4,4,8,8,8,8,16,2,2,26,2,8,2,2,16,16,3,3,1,3,12,3,12,12,12,
4,4,1,4,1,4,4,4,12,12,4,8,8,2,2,4,4,4,16,2,2,2,4,2,2,2,4,4,16,4,4,16,16,1,1,1,
4,4,8,1,4,4,1,1,2,6,4,1,4,8,4,1,1,2,2,1,1],[1,17,30,9,9,2,24,21,60,66,24,60,4,
4,32,1,1,6,6,24,6,9,24,9,6,8,21,6,8,32,32,48,48,4,4,4,4,8,8,8,8,16,2,2,2,2,16,
32,2,2,16,3,3,1,3,12,3,12,12,12,8,1,4,1,4,4,8,16,8,16,2,2,4,4,4,16,2,2,2,4,2,
2,2,4,4,16,4,4,16,16,1,1,1,4,4,8,1,4,4,1,1,4,8,1,4,4,8,2,2,2,1,1],[1,17,30,9,
9,2,24,21,60,66,24,60,20,4,16,1,1,6,6,24,6,9,24,9,6,8,21,6,8,32,32,48,48,4,4,
4,4,8,8,8,8,16,2,2,2,2,8,16,26,2,16,3,3,1,3,12,3,12,12,12,4,4,1,4,1,4,4,4,12,
8,12,4,8,2,2,4,4,4,16,2,2,2,4,2,2,2,4,4,16,4,4,16,16,1,1,1,4,4,8,1,4,4,1,1,2,
6,4,1,4,4,8,1,1,2,2,1,1],[1,17,30,9,9,2,24,21,60,66,24,60,4,20,16,1,1,6,6,24,
6,9,24,9,6,8,21,6,8,32,32,48,48,4,4,4,4,8,8,8,8,16,2,2,2,2,8,2,10,16,16,16,3,
3,1,3,12,3,12,12,12,4,4,1,4,1,4,4,4,4,4,4,16,16,2,2,4,4,4,16,2,2,2,4,2,2,2,4,
4,16,4,4,16,16,1,1,1,4,4,8,1,4,4,1,1,2,2,8,1,4,4,4,4,2,1,1,2,1,1],[1,17,30,9,
9,2,24,21,60,66,24,60,4,20,16,1,1,6,6,24,6,9,24,9,6,8,21,6,8,32,32,48,48,4,4,
4,4,8,8,8,8,16,2,10,2,2,16,8,16,2,2,16,3,3,1,3,12,3,12,12,12,4,4,1,4,1,4,4,4,
4,16,4,4,16,2,2,4,4,4,16,2,2,2,4,2,2,2,4,4,16,4,4,16,16,1,1,1,4,4,8,1,4,4,1,1,
2,2,8,1,4,4,4,4,2,1,1,2,1,1],[1,21,18,37,3,2,15,42,24,60,20,8,16,15,6,6,9,24,
15,6,8,32,48,12,36,4,4,22,4,8,4,4,16,32,1,3,1,3,12,12,3,4,2,8,2,8,8,2,4,4,2,2,
2,4,6,6,4,8,8,18,18,3,1,2,6,2,3,2,4,2,4,4,2,4,4,1,1,1,2,2,1],[1,13,26,9,3,2,
19,42,24,16,68,28,16,1,6,6,11,24,4,15,6,8,32,8,48,4,8,4,8,16,8,4,4,4,30,4,4,8,
8,32,1,3,1,3,12,12,4,1,2,2,8,2,8,8,2,2,4,2,2,2,4,2,12,12,4,4,2,4,8,2,4,4,4,8,
1,2,1,2,2,4,1,2,6,2,4,2,4,2,4,4,1,1,1,2,2,1],[1,13,26,3,9,2,24,19,68,42,16,28,
16,1,6,6,24,11,4,8,6,8,15,32,48,8,4,4,8,16,8,4,4,8,4,4,8,30,4,32,1,3,1,3,12,
12,4,1,2,2,8,2,8,8,2,2,4,12,2,4,2,2,4,2,12,4,4,8,2,4,2,4,4,8,1,2,1,2,2,4,1,2,
6,2,4,2,4,2,4,4,1,1,1,2,2,1],[1,21,18,3,37,2,24,15,60,42,20,8,16,15,6,6,24,9,
6,8,15,32,48,12,36,4,4,4,4,8,16,22,4,32,1,3,1,3,12,12,3,4,2,8,2,8,8,2,4,4,6,2,
8,2,2,4,6,4,8,18,18,3,1,2,6,2,3,2,4,2,4,4,2,4,4,1,1,1,2,2,1],[1,13,26,9,3,2,
19,42,24,16,68,12,16,16,1,6,6,11,24,4,15,6,8,32,8,48,4,8,4,8,8,16,4,4,4,6,4,8,
4,8,8,16,32,1,3,1,3,12,12,1,2,4,2,8,2,8,8,2,2,4,4,4,2,2,2,4,2,4,4,8,8,2,8,4,2,
4,4,4,8,1,2,1,2,2,4,1,2,2,2,4,2,4,4,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,13,26,3,9,2,
24,19,68,42,16,12,16,16,1,6,6,24,11,4,8,6,8,15,32,48,8,4,4,8,8,16,4,4,8,4,4,8,
8,16,6,4,32,1,3,1,3,12,12,1,2,4,2,8,2,8,8,2,2,4,4,4,2,8,2,2,4,2,4,4,8,4,8,2,4,
2,4,4,8,1,2,1,2,2,4,1,2,2,2,4,2,4,4,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,13,26,9,3,2,
19,42,24,16,68,12,16,16,1,6,6,11,24,4,15,6,8,32,8,48,4,8,4,8,16,8,4,4,4,6,4,8,
4,8,8,16,32,1,3,1,3,12,12,1,2,4,2,8,2,8,8,2,2,4,4,2,2,2,4,2,4,4,4,8,8,2,4,8,2,
4,4,4,8,1,2,1,2,2,4,1,2,2,2,4,2,4,4,2,4,4,1,1,1,2,2,1],[1,13,26,3,9,2,24,19,
68,42,16,12,16,16,1,6,6,24,11,4,8,6,8,15,32,48,8,4,4,8,16,8,4,4,8,4,4,8,8,16,
6,4,32,1,3,1,3,12,12,1,2,4,2,8,2,8,8,2,2,4,4,2,8,4,2,2,4,2,4,4,8,4,8,2,4,2,4,
4,8,1,2,1,2,2,4,1,2,2,2,4,2,4,4,2,4,4,1,1,1,2,2,1],[1,17,46,9,9,2,24,29,76,66,
24,48,76,12,4,16,1,1,6,6,24,6,13,24,13,12,16,6,8,21,6,8,32,32,16,48,48,4,20,
20,28,8,8,8,8,16,16,32,16,32,10,20,2,6,2,8,16,6,2,16,16,8,2,2,3,3,1,3,12,3,12,
12,12,2,2,4,4,4,1,4,1,4,4,4,4,8,2,4,8,4,8,4,8,8,4,16,2,2,4,4,4,8,16,16,10,6,2,
6,12,12,2,4,2,2,16,4,4,16,4,4,16,16,8,16,8,16,16,8,16,8,16,1,1,1,4,4,8,2,2,1,
4,4,4,4,4,1,1,4,4,8,4,8,4,4,4,2,4,2,4,1,4,4,8,4,4,4,4,2,2,4,4,4,8,8,8,8,8,1,2,
2,2,2,1,1,2,8,2,8,1],[1,25,38,37,9,2,24,25,60,82,24,16,84,20,12,1,15,6,6,24,6,
15,24,9,4,6,8,25,6,8,32,48,8,48,48,20,12,60,12,8,24,16,16,16,32,6,12,2,30,2,6,
6,8,32,8,1,1,5,3,1,3,12,3,12,12,12,5,3,2,1,4,3,8,4,4,8,4,2,2,4,6,6,6,4,8,8,30,
4,8,2,2,4,4,4,16,6,2,6,12,12,6,30,6,12,4,4,16,8,8,32,8,32,24,24,5,1,1,1,4,4,8,
3,3,2,4,8,1,1,2,2,6,2,2,2,4,2,2,4,8,4,1,2,3,2,4,1,4,12,4,2,2,2,2,4,2,6,4,4,4,
4,8,8,4,4,8,1,1,1,2,1,1,2,1,1,2,4,4,2,4,4,1],[1,17,46,9,9,2,24,29,60,66,40,32,
92,12,20,1,1,6,6,24,10,13,24,9,8,6,8,21,10,8,32,32,16,48,64,4,12,20,12,24,8,
32,40,32,32,2,8,6,6,6,2,10,32,32,8,2,3,3,1,5,12,3,12,12,12,2,8,3,4,1,8,4,2,2,
4,8,2,6,4,4,4,4,2,8,12,4,10,32,6,6,4,12,4,32,2,6,6,4,8,2,2,2,8,4,4,32,16,8,16,
32,16,24,24,3,1,1,8,4,8,2,1,8,4,4,1,1,4,4,2,4,4,6,4,8,2,2,2,4,2,4,1,4,12,2,2,
2,2,4,4,2,6,4,8,4,4,8,4,8,4,4,1,2,2,2,2,1,1,2,4,4,2,4,4,1],[1,25,38,9,37,2,24,
25,84,82,24,16,60,20,12,15,1,6,6,24,6,9,24,15,4,8,6,8,25,6,8,48,32,48,48,20,
60,12,12,16,16,16,8,24,32,6,12,6,6,2,8,30,2,32,8,1,1,3,5,1,3,12,3,12,12,12,5,
3,2,1,4,3,4,8,4,8,4,2,2,4,6,4,8,6,6,8,4,2,2,4,4,4,8,16,6,6,6,12,12,30,30,6,2,
8,8,32,4,4,16,12,8,32,24,24,5,1,1,1,4,4,8,3,3,2,8,4,1,1,2,2,2,2,2,4,2,2,4,6,8,
4,1,2,3,2,4,1,4,12,4,2,2,2,2,4,2,6,4,4,4,4,8,8,4,4,8,1,1,1,2,1,1,2,1,1,2,4,4,
2,4,4,1],[1,17,46,9,9,2,40,29,92,66,24,32,60,12,20,1,1,10,6,24,6,9,24,13,8,16,
10,8,21,6,8,32,32,64,48,4,20,12,12,32,40,32,24,8,32,2,8,10,2,6,32,6,6,32,8,2,
3,3,1,3,12,5,12,12,12,2,8,3,4,1,4,8,2,2,4,8,2,6,4,4,2,8,4,4,12,10,6,6,12,4,4,
32,32,6,2,2,4,8,2,4,2,6,8,16,16,4,4,32,8,32,16,24,24,1,3,1,4,8,8,2,1,8,4,4,1,
1,4,4,4,4,4,6,2,8,2,2,2,4,2,4,1,4,12,2,2,2,2,4,4,2,6,4,8,4,4,4,8,8,4,4,1,2,2,
2,2,1,1,2,4,4,2,4,4,1],[1,17,30,9,9,2,24,21,60,66,24,60,4,4,1,1,6,6,24,6,9,24,
9,6,8,21,6,8,32,32,48,48,4,4,4,4,8,8,8,8,16,2,2,2,2,2,2,16,16,3,3,1,3,12,3,12,
12,12,1,4,1,4,4,2,2,4,4,4,16,2,2,2,4,2,2,2,4,4,16,4,4,16,16,8,8,8,1,1,1,4,4,8,
1,4,4,1,1,1,4,4,4,4,4,8,1,2,2,2,1],[1,17,30,9,9,2,24,21,60,66,24,60,20,20,1,1,
6,6,24,6,9,24,9,6,8,21,6,8,32,32,48,48,4,4,4,4,8,8,8,8,16,10,10,10,10,10,10,
80,3,3,1,3,12,3,12,12,12,5,20,5,20,20,4,4,8,8,4,4,4,4,8,4,4,8,2,2,4,4,4,16,2,
2,2,4,2,2,2,4,4,16,4,4,16,16,1,1,1,4,4,8,1,4,4,1,1,4,4,8,8,4,8,4,8,5,8,2,2,2,
1,1],[1,13,10,7,7,5,12,20,12,20,16,16,1,1,3,3,5,8,8,4,4,4,4,2,4,14,8,8,14,4,8,
16,16,1,1,2,2,2,2,4,1,4,4,4,2,2,4,2,4,2,2,2,2,2,4,2,2,4,2,2,1,1,1,1,2,1,2,2,2,
2,2,2,4,4,1,1,1,1,1,1,1,1],[1,13,10,7,7,5,12,20,12,20,16,16,1,1,3,3,5,8,8,4,4,
4,4,2,4,14,8,8,16,14,4,8,16,1,1,2,2,2,4,2,1,4,4,4,2,2,4,2,2,2,2,4,2,2,4,2,2,4,
2,2,1,1,2,1,1,1,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,13,26,7,3,4,48,17,60,32,
12,12,16,16,1,4,4,16,3,8,6,18,24,5,12,8,60,4,4,8,16,4,4,8,8,6,2,2,8,8,16,4,4,
24,1,12,1,3,12,3,2,2,4,1,2,4,2,2,4,2,2,4,8,2,3,4,8,4,1,2,4,8,4,8,2,4,2,4,4,2,
2,8,8,1,2,1,1,1,1,2,2,1,2,4,2,1,2,2,4,2,2,2,4,4,2,1,1,1,2,1],[1,17,22,9,9,2,
17,12,50,24,60,24,12,8,1,1,6,6,9,24,3,17,6,8,8,32,48,8,8,4,4,4,4,8,8,2,2,26,4,
4,4,8,8,24,3,1,1,3,12,12,4,2,2,1,4,2,4,4,2,1,2,2,3,2,4,2,12,12,4,2,8,8,2,2,2,
4,4,2,2,2,8,8,1,2,1,1,1,1,1,2,2,1,1,6,1,2,2,4,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,
17,22,9,9,2,17,12,50,24,60,8,12,24,1,1,6,6,9,24,3,17,6,8,8,32,48,8,8,4,4,4,4,
8,8,2,2,2,12,16,4,4,8,24,8,3,1,1,3,12,12,4,2,6,1,2,4,4,2,1,2,6,3,2,4,2,6,4,8,
8,8,8,2,2,2,4,4,2,2,2,8,8,1,2,1,1,1,1,1,2,2,2,1,3,1,2,4,4,2,2,2,8,1,1,1,1,1,1,
1,1],[1,17,22,9,9,2,24,17,60,50,12,24,12,8,1,1,6,6,24,3,9,6,8,17,32,8,48,8,4,
8,4,8,4,4,8,2,4,4,8,4,8,26,2,24,1,3,1,3,12,12,4,2,2,1,2,4,4,4,1,2,2,2,12,8,4,
3,2,4,2,12,2,8,2,2,4,2,4,2,2,2,8,8,1,2,1,1,1,1,1,2,2,1,1,6,2,1,2,4,2,2,2,4,4,
1,1,1,1,1,1,1,1],[1,13,26,3,7,4,17,12,32,48,60,12,16,16,1,4,4,6,16,8,3,5,18,
24,8,12,60,4,4,4,4,8,16,8,8,4,4,2,8,2,6,8,16,24,1,12,1,3,12,3,2,2,4,1,4,2,2,2,
4,2,2,4,8,3,1,2,2,4,4,8,4,8,4,8,2,4,4,2,2,2,8,4,8,1,2,1,1,1,1,2,2,1,2,4,2,1,2,
2,4,2,2,2,4,4,2,1,1,1,2,1],[1,17,22,9,9,2,24,17,60,50,12,8,12,24,1,1,6,6,24,3,
9,6,8,17,32,8,48,8,4,8,4,8,4,4,8,2,4,4,8,12,24,2,2,16,8,1,3,1,3,12,12,2,6,4,1,
2,4,4,1,2,2,6,8,8,3,2,4,2,4,6,8,8,2,2,4,2,4,2,2,2,8,8,1,2,1,1,1,1,1,2,2,1,3,2,
1,2,4,4,2,2,2,8,1,1,1,1,1,1,1,1],[1,13,34,9,3,2,8,23,16,42,24,16,68,24,8,8,1,
2,6,6,11,24,2,4,2,15,6,8,32,8,8,48,4,12,8,12,12,8,8,8,24,16,4,4,26,2,4,2,2,8,
8,1,3,1,3,12,1,12,4,1,2,1,2,4,3,2,2,4,2,1,4,12,12,4,4,2,4,2,8,2,2,4,4,8,2,2,4,
2,4,2,6,4,8,4,8,1,2,1,2,1,2,2,2,2,2,2,2,2,4,1,2,6,1,2,2,2,2,4,2,4,1,1,1,1,1,1,
1,1],[1,21,26,37,3,2,8,19,16,42,24,60,16,16,8,15,2,6,6,9,24,2,2,15,6,8,32,8,
48,12,40,4,12,28,8,8,4,18,2,4,2,6,8,8,8,1,3,1,3,12,1,12,3,2,2,1,2,4,2,3,4,2,2,
2,1,4,6,6,6,2,8,8,18,2,2,4,8,2,18,6,2,6,8,3,1,2,1,2,2,2,2,6,2,2,2,1,1,3,1,2,4,
2,2,2,4,2,4,1,1,1,1,1,1,1,1],[1,13,34,9,3,2,8,23,16,42,24,16,68,8,24,8,1,2,6,
6,11,24,2,4,2,15,6,8,32,8,8,48,4,12,8,12,12,16,16,8,16,8,4,4,2,2,4,2,10,16,8,
8,1,3,1,3,12,1,12,1,4,2,1,2,4,4,3,2,2,2,1,4,4,4,4,2,4,8,4,8,2,4,8,2,2,4,8,2,2,
4,2,4,2,6,4,8,4,8,1,2,1,2,1,2,2,2,2,2,2,2,2,4,2,2,1,1,2,4,2,2,4,2,2,4,1,1,1,1,
1,1,1,1],[1,13,34,9,3,2,8,23,16,42,24,16,68,8,8,24,1,2,6,6,11,24,2,4,2,15,6,8,
32,8,8,48,4,12,8,12,12,8,8,8,16,8,16,4,4,2,2,12,2,2,24,8,1,3,1,3,12,1,12,1,6,
1,2,4,3,2,6,4,2,1,4,6,4,4,8,4,8,2,8,2,2,4,4,8,2,2,4,2,4,2,6,8,4,4,8,1,2,1,2,1,
2,2,2,2,2,2,4,2,2,3,2,1,2,4,2,2,2,4,2,4,1,1,1,1,1,1,1,1],[1,13,34,3,9,2,24,23,
68,42,8,16,16,8,8,24,1,6,6,24,2,2,11,4,8,6,8,15,2,32,48,8,12,4,8,8,12,12,8,8,
16,8,16,4,2,2,2,12,24,2,4,8,1,3,1,1,3,12,12,1,6,1,2,4,3,2,6,4,2,8,1,4,4,6,4,8,
4,2,2,4,4,8,8,2,2,2,4,2,8,6,2,4,4,8,4,1,2,1,2,1,2,2,2,2,2,2,2,4,2,3,2,1,2,4,2,
2,2,4,2,4,1,1,1,1,1,1,1,1],[1,13,34,3,9,2,24,23,68,42,8,16,16,8,24,8,1,6,6,24,
2,2,11,4,8,6,8,15,2,32,48,8,12,4,8,16,16,8,12,12,8,16,4,10,2,2,16,4,8,2,4,8,1,
3,1,1,3,12,12,1,4,2,1,2,4,3,4,2,2,2,8,4,1,4,4,4,4,2,8,4,4,2,2,4,8,8,2,2,2,4,2,
4,8,6,2,4,8,4,1,2,1,2,1,2,2,2,2,2,2,2,2,4,2,2,1,1,2,4,2,2,2,2,4,4,1,1,1,1,1,1,
1,1],[1,13,34,3,9,2,24,23,68,42,8,16,16,24,8,8,1,6,6,24,2,2,11,4,8,6,8,15,2,
32,48,8,12,4,8,8,12,12,8,8,16,24,4,2,2,2,4,8,26,4,8,1,3,1,1,3,12,12,4,1,2,1,2,
4,3,2,2,4,12,2,4,1,4,12,4,2,4,2,2,4,4,8,8,2,2,2,4,2,4,8,6,2,4,4,8,1,2,1,2,1,2,
2,2,2,2,2,2,2,4,1,2,6,1,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,21,26,3,37,2,24,19,
60,42,8,16,16,16,8,15,6,6,24,2,2,9,6,8,15,2,32,48,8,12,40,4,8,12,28,8,6,2,2,8,
4,8,18,4,8,1,3,1,1,3,12,12,3,2,2,1,2,4,3,2,2,4,2,6,2,8,1,4,6,6,2,8,2,2,4,8,6,
2,18,18,8,6,2,3,1,2,1,2,2,2,2,2,2,2,6,1,1,3,1,2,4,2,2,2,2,4,4,1,1,1,1,1,1,1,
1],[1,9,38,3,1,4,8,23,16,24,48,16,68,12,12,16,2,4,4,8,16,8,2,4,2,3,18,24,12,8,
8,60,4,4,12,4,12,8,4,8,8,32,16,2,4,2,4,8,4,4,8,16,8,1,12,1,3,12,1,3,1,2,4,1,2,
2,2,2,4,4,1,2,2,3,2,2,2,4,4,4,8,4,8,2,4,8,2,2,4,4,8,2,6,2,2,6,8,4,4,8,1,2,1,2,
1,2,2,2,2,2,2,2,4,2,1,2,2,1,2,4,2,2,2,2,4,2,2,1,1,1,1,1,1,1,1],[1,9,38,1,3,4,
48,23,68,24,8,16,16,12,12,16,4,4,16,2,2,8,8,4,8,18,24,3,2,12,60,8,4,4,12,8,4,
12,4,8,8,16,32,2,4,4,4,8,8,16,4,2,8,1,12,1,1,3,12,3,1,2,4,1,2,2,2,4,2,4,2,1,4,
8,2,2,3,2,2,4,4,4,8,2,2,2,4,4,8,4,8,2,6,2,8,2,6,4,8,4,1,2,1,2,1,2,2,2,2,2,2,2,
2,4,1,2,2,1,2,4,2,2,2,2,4,2,2,1,1,1,1,1,1,1,1],[1,13,26,7,3,4,48,17,60,32,12,
4,24,1,4,4,16,3,8,6,18,24,5,12,8,60,4,4,8,16,4,4,8,2,2,2,12,16,8,8,1,12,1,3,
12,3,4,1,2,6,4,3,4,1,2,2,4,2,4,4,2,2,8,8,4,4,4,1,2,1,1,1,1,2,2,1,2,1,2,4,2,2,
2,1,1,1,2,2,1],[1,13,26,3,7,4,17,12,32,48,60,4,8,16,1,4,4,6,16,8,3,5,18,24,8,
12,60,4,4,4,4,8,16,8,4,2,8,16,2,2,8,8,1,12,1,3,12,3,4,1,2,2,4,4,3,1,2,4,2,4,4,
2,2,2,8,4,8,4,4,4,1,2,1,1,1,1,2,2,1,2,1,2,4,2,2,2,1,1,1,2,2,1],[1,13,26,7,3,4,
48,17,60,32,12,4,8,16,1,4,4,16,3,8,6,18,24,5,12,8,60,4,4,8,16,4,4,8,2,2,2,8,4,
16,8,8,1,12,1,3,12,3,4,1,2,2,4,4,3,1,2,4,2,4,2,4,4,2,2,8,8,4,4,4,1,2,1,1,1,1,
2,2,1,2,1,2,4,2,2,2,1,1,1,2,2,1],[1,13,26,3,7,4,17,12,32,48,60,4,24,1,4,4,6,
16,8,3,5,18,24,8,12,60,4,4,4,4,8,16,8,12,2,16,2,2,8,8,1,12,1,3,12,3,4,1,2,6,4,
3,1,2,4,2,4,4,2,2,2,8,4,8,4,4,4,1,2,1,1,1,1,2,2,1,2,1,2,4,2,2,2,1,1,1,2,2,1],[
1,17,30,9,9,2,8,21,28,50,24,60,20,20,1,1,2,6,6,9,24,5,2,17,6,8,8,32,8,48,8,16,
8,8,16,8,16,8,8,16,6,8,10,6,6,16,18,6,48,8,8,3,1,1,3,12,1,12,2,2,4,3,8,3,8,12,
2,6,12,12,2,2,6,8,4,6,4,12,4,4,8,2,2,2,4,8,4,2,2,4,4,2,2,2,4,8,8,8,8,8,8,8,8,
1,2,1,2,1,2,2,1,1,3,1,4,1,2,1,2,1,2,1,4,6,2,6,2,2,6,2,2,4,2,3,3,2,6,4,4,4,2,2,
8,8,4,2,2,2,4,2,6,6,6,6,1,1,1,1,1,1,1,2,2,4,2,2,2,2,2,2,2,2,1],[1,17,30,9,9,2,
24,21,60,50,8,28,20,20,1,1,6,6,24,2,5,9,6,8,17,2,32,8,48,8,8,8,16,8,8,8,16,8,
16,16,6,8,6,18,6,6,10,16,48,8,8,1,3,1,1,3,12,12,2,2,4,3,8,3,12,8,2,6,12,12,2,
2,6,8,4,4,4,6,4,12,8,2,2,2,2,4,8,2,2,4,4,2,4,2,8,8,4,8,8,8,8,8,8,1,2,1,2,1,2,
2,1,1,3,1,1,4,1,2,2,1,2,1,4,6,2,6,2,2,6,2,2,4,3,3,2,2,6,4,4,4,2,2,8,8,4,2,2,2,
4,2,6,6,6,6,1,1,1,1,1,1,1,2,2,4,2,2,2,2,2,2,2,2,1],[1,25,30,37,9,2,21,12,66,
24,16,84,24,4,8,1,15,6,6,15,24,3,4,21,6,8,8,48,8,48,24,16,60,12,4,4,8,8,8,8,
16,6,12,2,30,4,8,8,8,8,1,1,5,1,1,3,12,12,5,3,2,3,2,2,1,2,2,4,3,2,4,6,6,2,4,30,
8,4,6,2,6,12,12,8,30,12,2,2,8,4,8,8,24,24,5,3,3,2,2,1,1,2,6,1,1,1,2,2,2,4,2,1,
2,3,1,2,4,12,6,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,17,38,9,9,2,25,28,50,
24,48,76,16,12,8,1,1,6,6,13,24,7,12,16,17,6,8,8,32,16,48,8,24,20,28,4,4,8,16,
16,8,8,8,16,10,20,2,6,4,8,4,8,8,8,8,2,2,3,1,1,3,12,12,2,2,4,2,2,1,2,2,2,1,2,2,
4,3,2,4,2,4,4,2,4,4,4,8,8,4,10,6,2,6,12,12,4,4,2,16,2,2,8,4,16,4,8,8,8,8,16,8,
16,2,2,1,4,2,2,2,1,1,1,1,2,1,2,2,2,2,4,2,4,1,2,1,2,1,2,4,4,8,2,4,2,2,2,2,2,2,
1,1,1,1,1,1,1,2,2,2,2,1],[1,17,38,9,9,2,24,25,76,50,48,28,16,12,8,1,1,6,6,24,
7,13,12,16,6,8,17,32,8,16,48,8,20,24,28,8,16,16,4,4,8,8,16,8,10,20,4,8,8,4,8,
6,2,8,8,2,2,1,3,1,3,12,12,2,2,4,2,2,1,2,2,1,2,2,2,4,4,3,2,4,2,4,2,4,4,4,4,8,8,
10,6,6,12,12,2,4,4,2,16,4,2,2,8,16,4,8,8,8,8,16,8,16,2,2,1,4,2,2,2,1,1,2,1,1,
1,2,2,2,2,4,2,4,1,2,1,2,1,2,4,4,8,2,4,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,
13,42,7,3,4,64,25,92,32,32,12,4,16,16,1,8,4,16,3,8,10,8,16,22,24,5,12,8,76,4,
4,24,24,32,4,4,16,16,32,8,6,2,6,24,8,16,8,8,8,1,12,2,1,5,12,3,6,4,3,2,2,2,4,3,
4,8,1,2,4,8,6,6,12,8,16,24,2,8,12,2,2,8,8,16,24,8,24,24,3,6,4,2,1,1,1,1,2,4,2,
1,4,8,1,2,2,4,4,12,6,2,4,2,4,1,1,2,1,2,2,2,2,2,1],[1,13,42,3,7,4,25,12,32,64,
32,92,4,16,16,1,4,8,10,16,8,3,8,5,22,24,8,12,16,76,4,4,4,4,24,24,32,16,16,8,
32,8,6,8,2,6,24,16,8,8,1,12,2,1,5,12,3,6,4,3,2,2,2,4,3,1,2,4,8,4,8,6,24,16,6,
12,8,8,2,2,2,8,12,8,24,16,8,24,24,3,6,4,2,1,1,1,1,2,2,1,4,8,4,1,2,2,4,4,12,6,
2,4,2,4,1,1,2,1,2,2,2,2,2,1],[1,25,30,9,37,2,24,21,84,66,16,12,24,4,8,15,1,6,
6,24,3,15,4,8,6,8,21,48,8,48,24,60,16,12,8,4,4,8,8,16,8,6,12,8,4,8,30,2,8,8,1,
1,1,5,1,3,12,12,5,3,2,3,2,2,1,2,2,4,6,3,2,4,6,2,4,4,8,6,6,12,12,30,30,8,2,2,2,
8,12,4,8,8,24,24,5,3,3,2,2,1,2,1,1,1,1,2,2,2,4,6,2,1,2,3,1,2,4,12,6,2,2,2,2,2,
2,1,1,1,1,1,1,1,2,2,2,2,1],[1,9,22,1,7,11,20,12,8,16,4,28,16,1,2,2,5,3,2,8,8,
8,4,12,4,16,8,8,14,2,24,8,2,2,16,4,1,1,6,4,1,1,1,2,1,4,2,2,2,6,2,4,4,3,4,4,2,
2,2,2,4,4,4,1,2,2,1,1,2,2,1,1,1,1,2,4,2,2,2,1,1,1,2,2,1],[1,9,22,7,1,8,11,16,
12,20,4,28,16,1,2,5,2,2,3,8,8,8,16,8,4,12,4,8,2,2,2,8,16,14,24,4,1,1,4,6,1,1,
1,2,1,4,2,2,4,6,2,2,4,2,3,4,4,2,4,2,2,4,4,1,2,2,1,1,2,2,1,1,1,1,4,2,2,2,2,1,1,
1,2,2,1],[1,9,22,1,7,11,20,12,8,16,4,12,32,1,2,2,5,3,2,8,8,8,4,12,4,16,8,8,6,
2,8,16,16,2,2,16,4,1,1,2,4,4,1,1,1,2,1,2,4,2,2,2,2,4,4,4,3,4,4,2,2,2,2,4,4,4,
1,2,2,1,1,2,2,1,1,1,1,2,4,2,2,2,1,1,1,2,2,1],[1,9,22,7,1,8,11,16,12,20,4,12,
32,1,2,5,2,2,3,8,8,8,16,8,4,12,4,8,2,2,2,16,16,6,8,16,4,1,1,4,2,4,1,1,1,2,1,2,
4,2,4,2,2,2,4,4,2,3,4,4,2,4,2,2,4,4,1,2,2,1,1,2,2,1,1,1,1,4,2,2,2,2,1,1,1,2,2,
1],[1,5,26,1,1,8,13,16,4,8,8,16,8,40,2,2,2,2,2,2,1,2,8,8,4,4,4,16,16,16,6,6,2,
20,16,2,16,4,1,1,2,4,4,1,2,2,1,2,4,4,4,4,4,4,4,1,2,4,4,4,4,4,4,1,2,2,2,2,2,2,
1,1,4,4,4,1,1,1,2,2,1],[1,17,14,1,35,7,12,12,8,16,4,12,16,15,2,2,3,3,2,8,8,4,
12,8,24,6,2,8,8,6,2,16,8,1,1,1,1,2,4,1,4,2,4,6,4,4,2,4,6,6,6,4,4,4,4,1,1,2,2,
1,2,2,2,2,2,2,2,4,2,1,1,1,2,2,1],[1,9,22,7,1,8,11,16,12,16,20,12,4,16,1,2,5,2,
4,2,3,8,8,8,4,8,4,8,8,16,4,2,14,2,8,16,2,8,1,1,1,2,1,4,1,4,4,2,2,4,4,4,2,2,4,
2,4,2,4,4,4,4,4,4,1,1,2,2,1,2,2,2,2,2,2,2,4,2,1,1,1,2,2,1],[1,17,14,35,1,8,7,
16,12,12,4,12,16,15,2,3,2,2,3,8,8,4,12,8,24,2,6,2,8,16,6,8,8,1,1,1,1,4,2,1,4,
2,4,4,6,4,6,2,4,6,6,4,4,4,4,1,1,2,2,1,2,2,2,2,2,2,2,4,2,1,1,1,2,2,1],[1,9,22,
1,7,11,20,12,8,16,16,12,4,16,1,2,2,5,4,8,3,2,8,8,8,4,4,8,8,16,4,2,2,8,14,2,16,
8,1,1,1,2,1,4,1,4,2,4,2,4,4,4,2,4,2,2,4,2,4,4,4,4,4,4,1,1,2,2,1,2,2,2,2,2,2,2,
4,2,1,1,1,2,2,1],[1,9,22,7,1,8,11,16,12,20,12,20,1,2,5,2,2,3,8,8,8,16,8,4,12,
4,8,8,6,2,2,8,4,6,8,16,4,8,1,1,2,2,2,1,4,1,2,1,2,2,4,1,2,2,2,2,4,2,2,2,4,2,3,
4,4,2,4,2,2,4,4,4,4,4,1,2,2,1,1,2,2,1,1,2,1,1,2,2,2,2,4,4,2,4,4,1,1,1,2,2,1],[
1,9,22,1,7,11,20,12,8,16,12,20,1,2,2,5,3,2,8,8,8,4,12,4,16,8,8,8,6,4,2,8,2,6,
8,16,4,8,1,1,2,2,2,1,4,2,1,2,1,4,2,1,2,2,2,2,2,4,2,4,2,3,4,4,2,2,2,2,4,4,4,4,
4,4,1,2,2,1,1,2,2,1,1,1,2,1,2,2,2,2,4,4,2,4,4,1,1,1,2,2,1],[1,9,38,7,1,24,19,
48,12,32,20,4,20,1,6,5,6,8,16,6,3,8,24,8,32,24,24,4,12,4,8,6,2,6,24,10,8,4,8,
8,2,1,3,6,2,3,1,1,2,2,1,2,2,2,2,2,2,3,6,8,12,24,6,12,2,2,24,4,24,4,24,4,4,4,8,
8,8,8,3,6,2,2,1,1,4,12,1,1,1,6,1,2,2,2,2,2,4,4,4,4,4,4,8,1,1,1,2,2,2,2,2,2,
1],[1,9,38,1,7,19,20,12,24,32,48,4,20,1,6,6,5,8,3,6,8,16,24,8,4,12,4,32,24,24,
8,10,6,8,2,6,24,8,4,8,2,1,3,2,6,3,1,1,2,1,2,2,2,2,2,2,6,24,3,8,12,6,2,2,2,12,
24,24,4,24,4,4,4,4,8,8,8,8,3,6,2,2,1,1,4,12,1,1,1,1,6,2,2,2,2,2,4,4,4,4,4,4,8,
1,1,1,2,2,2,2,2,2,1],[1,3,32,1,4,6,12,20,24,22,12,10,16,3,3,4,8,2,12,2,16,6,4,
8,24,24,3,2,4,6,6,4,2,4,8,4,1,1,3,2,1,6,3,3,6,2,2,4,4,2,3,2,6,4,4,4,4,2,2,4,4,
3,3,2,2,1,3,6,2,1,1,2,1,2,2,1,1,1,1,1,1,1,1],[1,15,20,35,4,12,8,30,30,8,15,5,
12,2,6,60,8,8,15,6,4,2,12,4,1,1,3,3,9,15,2,4,6,15,4,6,2,4,4,3,5,2,1,9,1,3,2,1,
2,2,1,1,1,1,1,1,1,1],[1,3,32,1,4,20,6,22,24,12,12,10,16,3,3,4,2,2,12,8,16,6,4,
8,24,24,6,2,6,4,4,3,4,2,8,4,1,1,3,2,1,6,2,3,3,6,2,4,4,3,2,2,6,4,4,4,2,4,2,4,4,
3,3,2,2,1,3,6,2,1,2,1,1,2,2,1,1,1,1,1,1,1,1],[1,15,20,35,4,12,30,8,30,8,15,5,
2,12,6,60,8,8,6,4,15,12,2,4,1,1,3,3,9,2,15,4,6,15,4,6,2,4,4,3,5,2,1,9,3,1,2,1,
2,2,1,1,1,1,1,1,1,1],[1,9,14,3,3,2,13,18,8,16,12,8,6,2,9,4,4,4,8,8,10,6,6,6,6,
4,6,6,48,4,8,1,2,3,12,3,12,12,2,2,4,1,2,4,4,4,1,2,4,4,4,4,4,2,3,2,1,1,4,2,2,4,
2,4,1,1,1,2,2,1],[1,19,24,2,35,6,24,28,4,8,26,8,18,8,15,3,4,6,6,16,4,2,4,8,24,
4,4,4,6,36,8,8,8,9,12,6,4,8,2,4,1,2,1,2,2,1,2,1,2,9,2,2,4,6,4,1,9,12,12,2,2,8,
8,6,2,4,4,2,2,3,1,2,2,1,1,1,2,3,1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,7,36,1,2,12,
12,18,12,16,24,36,4,14,16,1,4,4,5,4,2,2,2,4,4,8,4,16,4,4,16,6,4,8,20,8,8,24,8,
2,2,6,4,4,5,8,8,2,4,1,2,1,2,2,1,2,2,1,2,4,1,4,2,4,5,8,3,2,4,2,8,2,8,4,2,4,4,8,
2,4,2,4,4,2,2,1,2,2,1,2,1,1,2,1,1,2,1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,7,36,2,1,
16,12,36,12,12,24,18,4,14,16,4,1,4,5,4,8,4,2,2,4,2,16,4,4,4,8,20,8,16,6,4,8,8,
24,5,2,8,4,2,6,4,8,2,4,1,2,1,2,2,1,2,2,1,1,4,2,2,4,4,2,4,5,3,2,8,8,2,2,4,8,8,
4,4,4,2,2,4,4,2,2,1,1,2,2,2,1,1,1,1,2,2,1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,19,24,
35,2,4,6,26,28,8,24,8,18,8,15,3,4,6,2,6,4,16,4,8,24,6,36,4,4,4,8,8,8,12,6,4,9,
8,2,4,1,2,1,2,2,1,2,2,4,9,1,2,2,12,1,4,6,12,9,2,2,8,8,6,2,4,4,2,2,2,3,1,2,1,1,
3,1,2,1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,13,34,7,7,8,17,28,12,8,16,28,24,8,8,1,1,
2,2,5,5,4,2,3,2,8,8,6,26,26,18,8,8,8,8,16,32,16,12,24,2,14,4,14,2,20,1,1,1,1,
3,3,4,3,2,2,2,2,2,2,3,3,9,1,1,2,2,2,1,2,2,1,2,2,2,2,4,4,5,2,2,4,3,3,2,3,6,6,3,
5,3,2,6,6,6,6,4,4,8,24,24,24,1,1,1,1,1,1,1,2,1,2,1,2,2,2,1,3,3,3,2,2,2,1,1,1,
3,3,3,6,6,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[
1,17,22,9,9,2,17,12,26,16,12,24,12,8,1,1,6,3,3,4,11,14,22,22,18,4,4,4,4,8,8,
12,24,4,14,2,4,14,4,16,20,1,1,1,3,3,4,1,4,3,4,4,2,4,2,4,2,2,2,2,4,3,3,9,1,1,2,
4,3,2,2,3,2,2,2,2,4,3,4,3,3,3,6,6,5,3,5,6,2,2,6,8,24,24,24,1,1,1,1,2,1,1,3,3,
3,1,1,1,1,2,1,1,1,3,3,3,6,6,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,7,20,1,2,12,4,18,12,8,4,12,14,16,1,4,1,2,2,2,
4,4,8,6,4,4,4,8,8,4,4,6,2,6,4,4,4,5,8,4,2,4,1,1,2,2,3,4,4,4,1,2,2,1,2,4,1,2,2,
2,2,2,4,1,2,4,2,2,4,2,4,2,4,4,1,2,2,1,2,1,1,2,2,2,2,1,1,2,2,1,2,2,2,1,1,1,1,1,
1,1,1],[1,11,16,2,7,2,12,4,8,26,8,26,8,1,3,4,2,4,2,4,4,4,6,12,8,8,13,4,8,4,6,
4,8,2,4,4,1,1,2,2,1,2,2,10,1,2,6,2,1,4,5,2,4,6,4,3,2,6,2,4,4,1,2,2,1,2,1,2,3,
2,1,2,3,2,1,2,2,2,1,1,1,1,1,1,1,1],[1,7,20,2,1,4,4,12,12,8,18,12,14,16,1,4,1,
2,2,4,2,4,4,4,8,6,4,8,8,4,4,5,4,2,4,6,6,4,8,2,4,4,1,1,2,2,3,4,4,4,1,2,2,1,2,2,
2,1,2,4,2,2,4,2,4,1,2,2,4,4,2,2,4,4,1,2,2,1,2,1,1,2,2,2,1,1,2,2,2,1,2,2,2,1,1,
1,1,1,1,1,1],[1,11,16,7,2,4,2,26,12,8,8,26,8,1,3,4,2,2,4,4,4,4,6,12,8,8,4,8,4,
6,4,13,8,4,2,4,1,1,2,2,1,2,2,10,1,2,6,2,2,4,5,1,4,4,6,2,3,6,2,4,4,2,1,2,1,2,1,
2,3,2,3,1,2,2,1,2,2,2,1,1,1,1,1,1,1,1],[1,3,32,1,4,6,12,20,8,22,12,10,16,3,3,
2,12,2,12,16,6,4,8,24,8,12,3,2,4,6,6,4,2,4,1,3,1,6,4,6,3,3,4,2,2,4,2,3,3,2,6,
4,4,4,2,2,4,4,3,2,1,1,2,3,2,2,1,1,2,1,6,2,2,1,1,1,1,1,1,1,1],[1,3,32,1,4,20,6,
22,8,12,12,10,16,3,3,2,2,12,16,6,4,12,8,8,24,12,6,2,6,4,4,3,2,4,1,3,1,6,4,6,2,
3,3,2,4,4,3,3,2,2,6,4,4,2,4,2,4,4,3,2,1,1,2,3,2,2,1,2,1,1,6,2,2,1,1,1,1,1,1,1,
1],[1,7,28,7,4,12,4,30,8,8,8,22,8,1,5,2,2,12,8,8,6,20,4,8,8,16,8,6,4,11,8,2,4,
1,1,2,1,2,8,8,3,2,3,2,2,4,2,1,2,6,5,4,4,6,2,4,4,1,2,2,1,1,2,3,2,3,1,2,1,2,2,2,
2,2,1,1,1,1,1,1,1,1],[1,7,28,7,4,4,8,12,8,30,8,22,8,1,5,2,12,2,8,4,8,6,20,8,
16,8,11,8,8,6,4,2,4,1,1,2,1,2,8,8,3,2,3,2,2,4,6,1,2,5,2,4,4,6,2,4,4,1,2,2,1,1,
2,3,2,1,3,2,1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,9,22,3,3,2,17,8,18,8,12,20,6,2,2,
9,4,4,8,8,4,8,8,4,8,2,6,4,2,8,4,6,8,16,4,4,8,1,2,2,1,4,1,4,4,1,1,1,2,1,2,4,4,
1,1,2,2,4,2,4,2,2,2,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,2,2,1,2,2,1,1,1,1,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,15,8,32,35,24,15,16,2,40,
8,1,6,8,2,2,1],[1,15,8,32,35,24,15,16,2,40,8,1,6,8,2,2,1],[1,9,6,32,8,3,3,2,9,
18,24,6,9,16,12,12,8,2,8,8,1,6,8,1,1,2,1],[1,3,12,20,20,1,4,12,18,12,12,3,12,
16,4,1,4,5,16,12,4,4,1,3,3,4,4,1,1,1,1,1],[1,3,12,20,20,1,4,12,18,12,12,3,12,
16,4,16,5,4,12,1,4,4,1,3,3,4,4,1,1,1,1,1],[1,12,27,5,8,3,1,9,27,27,3,9,5,21,
24,21,3,9,3,9,9,9,9,4,1,2,1,3,3,3,9,21,3,9,4,8,1,3,6,3,3,1,3,3,3,3,3,1,4,3,3,
1,1,1,1],[1,12,27,5,8,1,3,27,27,9,3,9,5,21,24,21,9,3,3,9,9,9,9,4,1,2,3,1,3,9,
3,21,3,9,4,8,1,3,6,3,1,3,3,3,3,3,3,1,4,3,3,1,1,1,1],[1,31,1,1],[1,15,20,35,30,
30,16,15,5,60,15,16,1,15,15,5,1,1],[1,15,20,35,30,30,16,15,5,60,15,16,1,15,15,
5,1,1],[1,21,28,7,7,21,28,8,21,7,7,8,7,7,1],[1,21,28,7,7,21,28,8,21,7,7,8,7,7,
1],[1,21,28,7,7,21,28,8,21,7,7,8,7,7,1],[1,7,28,7,28,8,1,7,8,7,1,1],[1,7,28,7,
28,8,1,7,8,7,1,1],[1,7,28,7,28,8,1,7,8,7,1,1],[1,7,28,7,28,8,1,7,8,7,1,1],[1,
15,20,11,5,6,10,15,10,6,5,5,5,5,6,10,6,5,1,1],[1,21,42,64,21,7,14,63,126,168,
252,3,42,42,63,168,48,63,126,168,168,504,112,224,14,168,21,7,63,252,126,21,42,
28,56,1,1],[1,21,42,64,7,21,14,168,63,252,126,3,42,42,168,48,63,126,168,63,
168,504,112,224,14,168,21,7,63,252,126,21,42,28,56,1,1],[1,15,12,64,35,4,12,
18,18,15,3,12,36,9,12,16,80,48,1,1,3,3,9,9,9,3,3,9,4,4,12,1,1],[1,15,12,64,35,
4,12,18,18,15,3,12,36,9,12,80,16,48,1,1,3,3,9,9,9,3,3,9,4,4,12,1,1],[1,21,42,
16,21,7,14,63,126,168,252,48,3,42,42,63,168,48,63,126,168,168,504,12,8,16,14,
168,21,7,63,252,126,12,24,24,21,42,1,8,12,1,3,1],[1,21,42,16,7,21,14,168,63,
252,126,48,3,42,42,168,48,63,126,168,63,168,504,12,8,16,14,168,21,7,63,252,
126,12,24,24,21,42,1,8,12,1,3,1],[1,21,42,16,21,7,14,63,126,168,252,48,3,42,
42,63,168,48,63,126,168,168,504,4,4,12,16,14,168,21,7,63,252,126,12,12,12,24,
21,42,1,4,4,12,1,3,1],[1,21,42,16,7,21,14,168,63,252,126,48,3,42,42,168,48,63,
126,168,63,168,504,4,4,12,16,14,168,21,7,63,252,126,12,12,12,24,21,42,1,4,4,
12,1,3,1],[1,15,12,16,35,4,12,18,18,48,15,3,12,36,9,12,20,16,1,1,3,3,9,9,9,12,
3,3,9,1,4,1,3,1],[1,15,12,16,35,4,12,18,18,48,15,3,12,36,9,12,4,16,16,1,1,3,3,
9,9,9,12,3,3,9,1,4,1,3,1],[1,15,12,16,35,4,12,18,18,48,15,3,12,36,9,12,20,16,
1,1,3,3,9,9,9,12,3,3,9,1,4,1,3,1],[1,15,12,16,35,4,12,18,18,48,15,3,12,36,9,
12,4,16,16,1,1,3,3,9,9,9,12,3,3,9,1,4,1,3,1],[1,15,12,16,35,4,12,18,18,48,15,
3,12,36,9,12,4,4,16,1,1,3,3,9,9,9,12,12,12,3,3,9,4,4,12,1,1],[1,3,24,16,1,4,
12,6,18,16,12,12,6,48,3,3,4,12,8,12,24,6,3,4,8,4,4,16,1,1,3,2,1,6,3,3,6,3,6,4,
8,12,4,8,3,3,3,6,4,4,4,8,1,1],[1,15,12,16,35,4,12,18,18,48,15,3,12,36,9,12,4,
4,16,1,1,3,3,9,9,9,12,12,12,3,3,9,4,4,12,1,1],[1,3,24,16,1,4,6,12,12,16,18,12,
6,48,3,3,4,8,12,12,24,3,6,4,8,4,4,16,1,1,3,2,1,6,3,3,6,3,6,4,8,12,4,8,3,3,3,6,
4,4,4,8,1,1],[1,25,30,16,21,9,2,24,21,60,66,36,24,12,16,16,16,1,3,6,6,24,9,9,
6,8,21,32,24,48,24,12,24,12,24,12,12,24,6,12,6,6,24,12,8,16,3,3,1,3,12,12,3,6,
3,6,9,6,12,6,6,12,6,12,6,6,6,24,24,12,4,8,4,8,8,3,6,1,3,3,3,3,6,6,3,6,1,4,8,3,
1,1,1,1],[1,13,42,16,3,9,2,24,27,84,42,48,12,24,32,16,1,6,6,24,15,12,24,6,8,
15,32,48,24,12,12,24,24,48,12,12,24,6,12,8,16,3,3,1,3,12,12,3,6,6,12,6,12,12,
24,6,12,6,12,12,24,8,16,4,8,8,3,6,1,6,6,12,3,6,1,4,8,3,2,1,1],[1,13,42,16,3,9,
2,24,27,60,42,24,48,12,24,32,16,1,6,6,24,6,6,9,6,8,15,6,32,48,24,12,12,24,36,
36,24,6,6,6,12,24,12,8,16,3,1,3,3,12,12,3,6,9,6,6,3,12,6,6,12,24,6,6,24,18,6,
8,16,4,8,8,3,6,1,6,6,6,6,3,6,1,4,8,3,2,1,1],[1,13,42,16,9,3,2,27,42,24,48,84,
12,24,32,16,1,6,6,15,24,12,15,6,8,32,24,48,12,24,12,24,24,48,12,6,12,24,12,8,
16,3,3,1,3,12,12,3,6,6,12,6,12,6,24,12,6,12,12,12,24,8,16,4,8,8,3,6,1,6,6,12,
3,6,1,4,8,3,2,1,1],[1,25,30,16,9,21,2,21,36,66,24,60,24,12,16,16,16,3,1,6,6,9,
24,9,21,6,8,24,32,48,24,24,12,12,12,12,24,24,6,6,6,12,24,12,8,16,3,3,1,3,12,
12,3,6,3,6,9,6,12,6,6,6,12,12,6,6,6,24,24,12,4,8,4,8,8,3,6,1,3,3,3,3,6,6,3,6,
1,4,8,3,1,1,1,1],[1,13,42,16,9,3,2,24,27,48,42,24,60,12,24,32,16,1,6,6,6,9,24,
6,6,15,6,8,32,24,48,12,12,36,36,24,24,12,6,6,6,24,12,8,16,3,1,3,12,3,12,3,6,9,
6,6,3,12,6,6,12,24,6,6,6,18,24,8,16,4,8,8,3,6,1,6,6,6,6,3,6,1,4,8,3,2,1,1],[1,
9,46,16,1,3,4,48,27,84,24,48,12,24,32,16,4,4,16,8,12,12,24,18,24,3,12,60,12,
24,12,24,24,48,6,12,12,24,4,4,12,16,1,12,3,3,12,3,3,6,6,12,6,12,6,12,24,12,6,
12,24,12,8,8,8,4,4,4,8,3,6,1,6,6,12,3,6,1,4,4,4,3,2,1,1],[1,9,46,16,3,1,4,27,
24,48,48,84,12,24,32,16,4,4,12,16,8,12,3,18,24,12,24,60,12,24,12,24,24,48,12,
6,12,24,4,4,12,16,1,12,3,3,12,3,3,6,6,12,6,12,6,12,24,12,6,12,12,24,8,8,8,4,4,
4,8,3,6,1,6,12,6,3,6,1,4,4,4,3,2,1,1],[1,15,12,16,35,18,8,18,48,15,3,2,6,36,6,
9,2,4,8,16,1,9,6,9,6,12,8,8,3,1,3,4,1,1,1],[1,15,12,16,35,8,18,18,48,15,3,2,6,
36,9,6,2,4,8,16,1,9,6,9,6,12,8,8,3,1,3,4,1,1,1],[1,13,18,16,3,9,2,24,15,60,42,
24,24,16,1,6,6,24,9,6,8,15,32,48,12,24,12,24,12,8,16,3,1,3,12,12,6,6,6,6,24,6,
6,24,4,8,8,1,3,3,12,1,4,8,3,1,1],[1,13,18,16,9,3,2,15,42,24,60,24,24,16,1,6,6,
9,24,15,6,8,32,48,12,12,24,24,12,8,16,3,1,3,12,12,6,6,6,6,6,6,24,24,4,8,8,1,3,
3,12,1,4,8,3,1,1],[1,9,22,16,1,3,4,48,15,60,24,12,12,24,16,4,4,16,8,6,18,24,3,
12,60,12,6,12,12,24,6,4,4,12,16,1,12,3,12,3,3,3,6,12,6,12,6,6,12,6,12,4,4,4,8,
1,3,6,3,6,1,4,4,4,3,1,1],[1,9,22,16,3,1,4,15,24,48,60,12,12,24,16,4,4,6,16,8,
3,18,24,12,60,12,6,12,6,12,24,4,4,12,16,1,12,3,12,3,3,3,6,12,6,6,12,6,12,6,12,
4,4,4,8,1,3,6,3,6,1,4,4,4,3,1,1],[1,7,12,16,7,8,18,30,16,1,3,2,6,12,15,6,2,12,
12,4,8,16,3,3,6,6,6,3,6,6,12,12,4,8,8,1,3,3,6,6,4,8,3,1,1],[1,7,12,16,7,18,8,
30,16,1,3,2,6,12,6,15,12,2,12,4,8,16,3,3,6,6,6,3,6,6,12,12,4,8,8,1,3,3,6,6,4,
8,3,1,1],[1,9,30,16,1,7,15,12,12,24,32,48,12,48,1,6,6,3,8,3,6,8,16,24,24,24,
24,6,6,6,24,8,4,8,16,2,1,3,6,3,2,6,24,6,12,6,12,24,24,24,4,8,16,8,8,3,6,4,12,
6,4,8,8,1,1,1],[1,9,30,16,7,1,24,15,48,12,32,12,12,48,1,6,3,6,8,16,6,3,8,24,
24,24,24,6,6,24,6,8,4,8,16,2,1,3,6,3,2,6,6,12,24,6,12,24,24,24,4,8,16,8,8,3,6,
4,12,6,8,4,8,1,1,1],[1,21,18,16,7,35,9,36,36,16,12,12,48,15,1,3,9,4,8,9,24,8,
12,36,12,12,6,12,6,18,8,4,4,4,16,1,1,1,3,3,3,3,2,6,6,12,12,18,18,6,12,24,24,4,
12,4,8,8,8,3,3,3,4,12,6,4,4,4,8,1,1,1],[1,21,18,16,35,7,9,12,36,16,36,12,48,1,
15,9,3,4,9,8,24,8,12,12,36,12,6,12,18,6,8,4,4,4,16,1,1,3,1,3,3,3,2,18,6,6,12,
12,6,18,12,24,24,12,4,4,8,8,8,3,3,3,4,12,6,4,4,4,8,1,1,1],[1,21,18,16,37,3,2,
15,42,24,60,12,48,15,6,6,9,24,15,6,8,32,48,12,36,18,12,8,16,1,3,1,3,12,12,3,6,
6,18,18,12,8,8,3,1,2,6,3,1,4,1,1,2,1],[1,21,18,16,3,37,2,24,15,60,42,12,48,15,
6,6,24,9,6,8,15,32,48,12,36,18,12,8,16,1,3,1,3,12,12,3,6,6,18,18,12,8,8,3,1,2,
6,3,1,4,1,1,2,1],[1,13,18,16,7,7,9,12,12,16,12,16,16,1,1,3,3,4,3,6,18,18,18,
12,24,12,12,20,4,4,4,16,1,1,3,3,4,3,3,3,9,3,3,3,3,6,6,3,3,3,6,6,8,24,24,24,4,
4,4,8,1,3,3,3,3,3,3,6,6,4,4,4,8,1,1,1],[1,7,12,16,7,8,18,4,18,16,1,3,2,6,12,9,
6,6,2,4,8,16,1,6,6,3,6,3,6,4,8,8,1,3,3,4,1,1,1],[1,7,12,16,7,18,8,4,18,16,1,3,
2,6,12,6,6,9,2,4,8,16,1,6,6,3,6,3,6,4,8,8,1,3,3,4,1,1,1],[1,13,30,16,7,7,15,
12,24,4,48,18,12,12,32,16,1,1,6,6,1,3,6,24,6,6,30,24,24,3,6,9,6,3,2,4,4,4,16,
3,3,6,3,6,3,6,6,6,3,3,3,6,6,8,8,8,4,4,4,8,3,3,3,1,3,3,3,4,4,4,3,1,1],[1,25,18,
16,13,13,6,27,54,4,30,12,16,16,16,1,1,18,1,27,30,18,18,12,12,3,9,6,9,2,4,4,4,
16,3,3,6,9,9,6,3,9,9,6,4,4,4,4,4,4,4,4,4,8,3,3,3,1,3,3,3,4,4,4,3,1,1],[1,19,
24,16,7,6,12,6,42,36,8,12,6,24,16,16,16,1,3,12,2,6,12,12,12,12,6,12,24,24,6,6,
12,3,2,4,8,16,3,6,12,3,6,12,6,6,3,6,4,4,8,8,4,8,8,6,3,1,3,6,4,8,3,1,1],[1,7,
36,16,7,12,36,54,8,18,24,32,16,1,9,2,36,6,36,24,24,6,12,9,2,4,8,16,3,9,6,12,6,
9,12,6,8,8,8,4,8,8,3,6,1,3,6,4,8,3,1,1],[1,7,36,16,7,12,36,8,54,18,24,32,16,1,
9,36,2,6,36,24,24,9,6,12,2,4,8,16,3,9,6,12,6,9,12,6,8,8,8,4,8,8,3,6,1,3,6,8,4,
3,1,1],[1,19,24,16,6,7,6,36,12,8,42,12,6,24,16,16,16,1,3,12,6,12,2,12,12,12,6,
12,24,24,3,6,6,12,2,4,8,16,3,3,6,6,12,6,12,3,6,6,4,4,8,8,4,8,8,3,6,1,3,6,4,8,
3,1,1],[1,13,30,16,7,7,24,15,48,12,4,18,12,12,32,16,1,1,6,6,1,6,3,24,6,30,6,
24,24,3,3,6,9,6,2,4,4,4,16,3,3,6,3,3,6,6,3,3,6,3,6,6,6,8,8,8,4,4,4,8,3,3,3,1,
3,3,3,4,4,4,3,1,1],[1,7,36,16,7,12,24,8,18,12,6,32,16,1,3,6,2,24,12,6,12,24,3,
6,6,2,12,4,8,16,3,6,3,3,6,6,6,6,12,12,8,4,8,8,3,1,3,6,6,4,8,3,1,1],[1,7,36,16,
7,12,18,8,24,12,6,32,16,1,3,6,2,24,6,12,12,24,6,6,3,2,12,4,8,16,3,6,3,6,3,6,6,
6,12,12,8,4,8,8,3,1,3,6,6,4,8,3,1,1],[1,13,18,16,3,9,2,24,15,60,42,16,16,1,6,
6,24,9,6,8,15,32,48,24,12,8,16,3,1,3,12,12,4,12,12,4,8,8,1,6,1,4,1,1,1],[1,13,
18,16,9,3,2,15,42,24,60,16,16,1,6,6,9,24,15,6,8,32,48,24,12,8,16,3,1,3,12,12,
4,12,12,4,8,8,1,6,1,4,1,1,1],[1,13,6,16,7,7,3,12,4,6,36,12,16,1,1,1,3,6,6,6,3,
12,3,6,6,3,12,2,4,4,4,16,3,6,6,6,3,3,3,6,6,6,3,3,3,6,4,4,4,8,1,3,3,3,3,3,3,4,
4,4,3,1,1],[1,13,30,16,3,9,2,21,24,18,12,12,18,12,12,32,16,1,6,3,6,3,9,6,30,6,
12,12,12,12,12,6,9,3,6,9,6,6,12,8,16,1,3,3,6,3,6,6,3,6,3,3,6,6,6,12,6,8,8,8,4,
1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,13,30,16,9,3,2,21,12,18,12,24,18,12,12,32,16,
1,6,6,3,3,9,6,6,30,12,12,12,12,12,6,9,6,9,6,3,6,12,8,16,1,3,3,6,6,3,6,6,3,6,3,
3,6,6,6,12,8,8,8,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,25,18,16,21,9,2,15,42,12,
30,12,16,16,16,1,3,6,3,15,30,18,30,12,12,9,15,6,9,6,12,8,16,1,3,6,3,9,6,9,9,
15,18,12,4,8,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,15,28,16,35,24,42,42,32,16,15,
7,6,18,84,21,18,6,20,16,1,21,18,21,18,24,4,7,3,9,1,4,3,2,1,1],[1,7,36,16,7,4,
12,24,54,18,24,32,16,1,9,12,6,18,36,24,24,9,18,12,6,4,16,16,1,3,6,12,18,9,12,
18,8,16,4,1,6,3,3,6,1,4,3,2,1,1],[1,25,18,16,9,21,2,15,42,12,30,12,16,16,16,3,
1,6,3,15,30,30,18,12,12,9,9,6,15,6,12,8,16,1,3,6,9,3,6,9,15,9,18,12,4,8,4,3,1,
3,3,3,3,3,1,4,3,1,1,1,1],[1,15,28,16,35,42,24,42,32,16,15,7,6,18,84,18,21,6,
20,16,1,21,18,21,18,24,4,7,3,9,1,4,3,2,1,1],[1,7,36,16,7,4,12,54,24,18,24,32,
16,1,9,6,12,18,36,24,24,18,12,9,6,4,16,16,1,3,6,12,18,9,12,18,8,16,4,1,6,3,3,
6,1,4,3,2,1,1],[1,3,24,16,1,4,12,6,18,12,12,6,48,3,3,12,12,12,24,12,6,3,4,16,
1,3,1,6,6,3,3,3,3,6,12,3,1,2,3,6,4,1,1,1,2,1],[1,3,24,16,1,4,6,12,12,18,12,6,
48,3,3,12,12,12,24,12,3,6,4,16,1,3,1,6,6,3,3,3,3,6,12,3,1,2,3,6,4,1,1,1,2,1],[
1,3,16,16,1,6,6,12,6,48,16,1,3,12,12,12,12,3,4,16,1,6,6,3,3,4,1,3,3,1,4,3,1,
1],[1,3,16,16,1,6,12,6,6,48,16,1,3,12,12,3,12,12,4,16,1,6,6,3,3,4,1,3,3,1,4,3,
1,1],[1,15,4,16,35,6,6,24,16,15,1,12,12,3,12,20,16,1,6,3,3,6,4,1,3,3,1,4,3,1,
1],[1,7,12,16,7,4,12,18,30,16,1,3,12,12,15,12,4,16,16,1,3,6,3,6,4,1,3,3,1,4,3,
1,1],[1,15,4,16,35,6,6,24,16,15,1,12,3,12,12,20,16,1,3,6,3,6,4,1,3,3,1,4,3,1,
1],[1,7,12,16,7,4,12,18,30,16,1,3,12,12,15,12,4,16,16,1,3,6,3,6,4,1,3,3,1,4,3,
1,1],[1,9,6,16,7,1,3,12,12,12,12,48,1,3,3,8,6,6,24,8,8,4,16,1,6,6,6,2,2,3,3,6,
4,8,8,8,3,6,6,4,8,8,1,1],[1,9,6,16,1,7,3,12,12,12,12,48,1,3,3,8,6,6,24,8,8,4,
16,1,6,6,6,2,2,3,3,6,4,8,8,8,3,6,6,4,8,8,1,1],[1,3,40,16,1,6,12,24,24,18,18,
32,16,1,3,6,6,12,24,18,12,3,6,18,6,12,4,16,1,6,3,3,6,12,12,6,6,12,12,8,4,1,3,
3,6,6,1,4,3,1,2,1],[1,3,40,16,1,24,6,18,24,12,18,32,16,1,3,6,6,24,18,12,12,6,
18,3,6,12,4,16,1,3,3,6,6,12,6,12,6,12,12,8,4,1,3,3,6,6,1,4,3,1,2,1],[1,3,4,16,
1,3,3,18,6,12,16,1,3,6,3,6,12,12,12,4,16,3,3,6,3,6,6,4,1,3,3,4,3,1,1],[1,9,6,
16,3,3,2,9,18,12,12,48,6,9,6,6,6,6,6,6,48,4,16,1,3,12,3,12,12,12,3,4,4,1,1,
1],[1,3,28,16,1,15,3,24,6,6,12,32,16,1,6,12,12,12,3,3,6,12,12,4,16,3,3,6,6,3,
6,8,4,1,3,3,4,3,1,1],[1,23,36,4,35,4,12,12,42,60,48,16,18,4,20,20,15,3,12,12,
12,12,32,12,16,48,36,12,12,12,24,24,9,24,1,4,4,4,12,12,20,4,1,4,3,4,6,3,6,9,3,
6,6,24,3,24,9,6,6,24,24,1,3,2,3,2,4,4,4,4,4,4,4,4,6,3,3,6,3,6,6,6,1,1,1,2,3,3,
2,1,1,4,3,1,1,1,1,1,1,1,1],[1,23,36,4,4,35,12,48,60,12,42,16,18,4,20,20,15,3,
12,12,12,32,12,12,16,48,12,12,12,36,24,9,24,24,1,4,4,4,12,12,20,4,1,4,3,4,6,3,
6,3,6,9,6,3,9,24,24,6,6,24,24,1,3,2,3,2,4,4,4,4,4,4,4,4,6,3,3,6,3,6,6,6,1,1,3,
3,1,2,2,1,1,4,3,1,1,1,1,1,1,1,1],[1,11,48,4,1,1,3,24,15,42,33,24,28,42,4,6,24,
4,20,20,3,6,3,6,3,7,8,3,6,3,6,6,6,8,18,18,1,3,3,9,6,6,6,6,18,18,36,12,36,3,3,
3,12,12,12,12,1,4,4,4,12,12,20,4,1,1,3,3,1,3,3,3,3,3,3,3,3,3,3,3,9,12,3,3,3,9,
12,6,3,3,3,6,6,3,9,12,9,12,6,1,2,1,2,1,2,2,4,4,4,4,4,4,4,3,1,3,3,3,3,3,3,3,3,
3,3,3,3,3,1,1,1,2,1,2,1,2,2,1,1,4,3,1,1,1,1,1,1,1,1],[1,15,16,35,16,15,20,16,
1,1,1,1],[1,15,16,35,16,15,20,16,1,1,1,1],[1,33,78,41,21,14,168,81,252,198,72,
48,180,36,36,3,15,42,42,168,18,27,72,48,63,12,126,168,81,18,24,168,96,24,504,
144,36,36,108,36,72,72,72,72,72,144,18,36,18,54,18,18,18,72,144,24,24,1,14,
168,3,9,21,7,9,36,63,252,126,36,9,9,18,9,36,9,36,36,6,18,36,36,6,6,18,36,18,
18,18,18,18,36,36,54,18,72,18,18,36,36,36,144,18,18,18,36,36,18,54,18,36,36,
36,144,36,36,144,72,144,72,72,72,72,9,9,9,9,36,36,72,9,9,18,36,36,21,3,42,6,
18,18,36,6,6,18,18,18,18,36,18,18,18,36,6,18,9,18,9,18,36,18,36,9,12,12,36,36,
12,36,18,18,36,18,18,18,18,36,36,18,18,18,18,36,36,36,36,36,36,36,36,36,36,36,
36,1,2,6,3,3,3,9,18,18,18,18,6,6,18,9,9,9,18,18,9,9,9,18,18,36,18,18,18,18,36,
18,18,36,36,36,36,36,36,3,6,18,9,9,18,1],[1,33,78,21,41,14,72,81,180,198,168,
48,252,36,36,15,3,18,42,72,42,63,168,48,27,12,24,18,24,81,126,168,96,168,144,
504,36,108,36,36,72,72,72,72,72,144,18,36,18,18,18,72,54,18,144,24,24,1,14,
168,3,21,9,7,63,252,9,36,36,126,9,9,18,9,36,9,36,36,6,18,36,36,6,6,18,36,18,
18,18,36,18,18,36,18,18,18,36,36,36,72,144,18,18,18,36,36,54,54,18,18,36,36,
144,36,36,144,36,72,144,72,72,72,72,9,9,9,9,36,36,72,9,9,18,36,36,3,21,42,6,
18,18,36,6,6,18,18,18,36,18,18,18,18,36,6,18,9,18,9,18,36,18,36,9,12,12,36,36,
12,36,18,18,36,18,18,18,18,36,36,18,18,18,18,36,36,36,36,36,36,36,36,36,36,36,
36,1,2,6,3,3,3,9,18,18,18,18,6,6,18,9,9,9,18,18,9,9,9,18,18,36,18,18,18,18,36,
18,18,36,36,36,36,36,36,3,6,18,9,9,18,1],[1,33,78,25,25,26,168,117,252,234,
168,252,36,36,3,3,42,78,168,42,63,168,48,48,63,126,168,117,126,168,168,168,
504,504,36,36,36,36,72,72,72,72,144,18,18,18,18,18,18,144,14,168,14,168,21,21,
13,63,252,63,252,126,126,9,36,9,36,36,18,18,36,36,18,18,18,18,36,18,18,36,18,
18,36,36,36,144,18,18,18,36,18,18,18,36,36,144,36,36,144,144,9,9,9,36,36,72,9,
36,36,21,21,42,42,6,18,18,36,6,18,18,36,6,6,18,18,18,18,18,18,36,36,18,18,18,
18,36,36,18,36,18,36,9,24,1,1,18,18,18,18,18,18,18,18,6,9,9,9,3,3,9,1],[1,25,
54,13,21,14,168,69,252,150,24,60,28,12,48,3,1,42,42,168,6,9,24,48,63,126,168,
69,6,8,168,32,504,48,12,12,12,12,24,24,24,24,48,6,6,30,6,24,6,6,48,48,14,168,
3,21,7,3,12,63,252,126,12,4,12,3,12,3,12,12,6,12,12,6,12,18,6,12,12,24,24,6,6,
12,12,12,48,6,6,6,12,6,6,6,12,12,48,12,12,48,48,3,3,3,12,12,24,3,12,12,21,1,
42,2,6,6,12,2,6,6,6,12,6,6,6,6,12,6,12,12,3,12,12,24,12,12,24,1,1,3,6,6,6,6,3,
6,6,6,6,3,1,3,3,1],[1,25,54,21,13,14,24,69,60,150,168,252,28,12,48,1,3,6,42,
24,42,63,168,48,9,6,8,69,126,168,32,168,48,504,12,12,12,12,24,24,24,24,48,6,6,
6,6,24,48,30,6,48,14,168,21,3,7,63,252,3,12,12,126,4,12,3,12,3,12,12,6,12,12,
6,18,24,6,12,12,12,24,6,6,12,12,12,48,6,6,6,12,6,6,6,12,12,48,12,12,48,48,3,3,
3,12,12,24,3,12,12,1,21,42,2,6,6,12,2,6,6,6,12,6,6,6,6,12,6,12,12,3,12,12,12,
12,24,24,1,1,3,6,6,6,6,3,6,6,6,6,3,1,3,3,1],[1,17,46,9,9,2,40,29,92,66,24,32,
60,44,36,16,1,1,10,6,24,6,9,24,13,8,16,10,8,21,6,8,32,32,64,48,4,20,12,12,32,
40,32,24,8,32,10,8,18,10,14,32,8,16,38,14,96,8,2,3,3,1,3,12,5,12,12,12,4,2,8,
4,7,20,5,20,24,2,2,4,8,2,4,10,8,12,4,8,18,4,8,4,16,4,4,8,4,16,12,4,8,10,6,6,
12,4,4,32,32,6,2,2,4,8,2,4,2,6,8,16,16,4,4,32,8,32,16,24,24,1,3,1,4,8,8,2,1,8,
4,4,1,1,4,4,4,4,4,6,2,8,2,2,2,4,2,6,6,4,8,8,4,8,4,12,4,5,4,12,2,2,2,2,4,4,2,6,
8,4,8,8,4,8,8,8,4,8,4,4,4,8,8,4,4,1,1,1,2,2,2,2,2,2,2,4,2,4,2,1,1,4,4,2,4,4,2,
4,4,1,2,2,1,1,1],[1,25,38,9,37,2,24,25,84,82,24,16,60,36,28,32,15,1,6,6,24,6,
9,24,15,4,8,6,8,25,6,8,48,32,48,48,20,60,12,12,16,16,16,8,24,32,14,12,14,14,
10,8,16,32,38,10,96,8,1,1,3,5,1,3,12,3,12,12,12,5,3,2,8,5,20,7,20,24,4,8,4,2,
4,6,8,12,8,4,10,4,16,8,16,4,4,8,6,6,8,8,16,4,2,2,4,4,4,8,16,6,6,6,12,12,30,30,
6,2,8,8,32,4,4,16,12,8,32,24,24,5,1,1,1,4,4,8,3,3,2,8,4,1,1,2,2,2,2,2,4,2,2,4,
6,8,4,1,2,4,3,6,4,8,12,4,8,4,8,8,5,4,12,4,2,2,2,2,4,2,6,8,8,8,4,8,4,8,8,4,4,4,
4,8,8,4,4,8,2,1,1,1,2,2,2,2,1,1,2,2,2,4,4,1,1,4,4,2,4,4,2,4,4,1,2,2,1,1,1],[1,
25,38,37,9,2,24,25,60,82,24,16,84,36,28,32,1,15,6,6,24,6,15,24,9,4,6,8,25,6,8,
32,48,8,48,48,20,12,60,12,8,24,16,16,16,32,14,12,10,38,10,16,14,14,8,32,96,8,
1,1,5,3,1,3,12,3,12,12,12,5,3,2,8,5,20,7,24,20,4,8,4,2,6,4,12,8,8,4,4,4,4,8,6,
6,10,8,16,8,8,16,16,30,4,8,2,2,4,4,4,16,6,2,6,12,12,6,30,6,12,4,4,16,8,8,32,8,
32,24,24,5,1,1,1,4,4,8,3,3,2,4,8,1,1,2,2,6,2,2,2,4,2,2,4,8,4,1,2,4,3,4,6,12,8,
4,8,4,8,8,5,4,12,4,2,2,2,2,4,2,6,8,8,4,8,8,4,8,8,4,4,4,4,8,8,4,4,8,2,1,1,1,2,
2,2,2,1,1,2,4,2,2,4,1,1,4,4,2,4,4,2,4,4,1,2,2,1,1,1],[1,17,46,9,9,2,24,29,60,
66,40,32,92,44,36,16,1,1,6,6,24,10,13,24,9,8,6,8,21,10,8,32,32,16,48,64,4,12,
20,12,24,8,32,40,32,32,10,8,14,38,14,8,10,18,32,16,96,8,2,3,3,1,5,12,3,12,12,
12,4,2,8,4,7,20,5,24,20,2,2,4,8,2,10,4,12,8,4,4,4,8,4,8,4,16,18,4,16,12,4,8,8,
4,10,32,6,6,4,12,4,32,2,6,6,4,8,2,2,2,8,4,4,32,16,8,16,32,16,24,24,3,1,1,8,4,
8,2,1,8,4,4,1,1,4,4,2,4,4,6,4,8,2,2,2,4,2,6,4,6,8,8,4,12,4,8,4,5,4,12,2,2,2,2,
4,4,2,6,8,4,8,8,8,4,8,8,4,8,4,4,8,4,8,4,4,1,1,1,2,2,2,2,2,2,2,4,2,2,4,1,1,4,4,
2,4,4,2,4,4,1,2,2,1,1,1],[1,17,62,9,9,2,40,37,92,66,40,64,92,20,36,1,1,10,6,
24,10,13,24,13,16,16,10,8,21,10,8,32,32,16,64,64,4,28,28,20,48,40,32,48,40,32,
48,2,16,14,6,10,32,6,14,32,48,8,8,16,2,2,3,3,1,5,12,5,12,12,12,2,2,8,8,5,4,1,
8,8,2,2,2,4,2,4,8,8,2,2,6,6,4,4,4,2,4,8,4,4,2,8,4,4,12,12,4,10,32,10,10,10,12,
12,4,32,48,6,6,6,4,16,2,4,2,6,8,8,16,32,16,8,32,8,32,32,16,24,24,24,24,8,8,8,
16,16,16,16,3,3,1,8,8,8,2,2,1,8,8,4,4,1,1,4,4,4,4,2,4,4,4,4,6,4,4,6,2,8,8,2,2,
2,2,2,4,2,4,2,2,4,4,1,4,4,12,12,2,2,2,2,2,2,4,2,2,4,4,4,2,2,6,6,4,4,4,4,4,4,8,
4,4,8,4,4,4,8,8,4,8,4,4,8,4,4,4,8,8,8,8,8,8,8,8,8,16,1,1,2,2,2,2,2,2,2,2,1,1,
1,2,2,2,2,2,4,4,4,4,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,
33,62,13,49,14,168,73,276,166,24,16,60,44,20,16,17,1,42,42,168,6,9,24,48,69,4,
8,126,168,73,6,8,184,32,504,48,44,116,20,20,32,16,32,24,40,16,16,32,64,10,12,
10,10,6,8,8,16,58,6,64,8,1,14,168,1,3,23,7,3,12,63,252,126,12,9,3,2,4,3,12,5,
12,16,4,8,4,2,6,2,12,4,4,8,42,6,8,16,4,8,6,6,12,6,42,8,4,8,8,16,4,6,6,12,12,
12,8,16,8,48,10,10,10,20,12,58,54,10,6,16,16,64,12,12,48,12,8,16,8,64,24,24,9,
3,3,3,12,12,24,3,5,2,4,16,12,21,1,42,2,6,6,12,8,14,2,2,2,2,6,6,6,2,12,4,4,2,2,
4,8,4,42,6,8,8,16,4,1,2,2,4,21,2,6,12,4,6,12,4,8,3,4,12,4,2,2,2,2,4,2,6,4,4,4,
4,4,4,8,4,4,4,4,8,8,4,4,8,1,7,1,2,4,1,7,1,2,6,2,6,6,6,4,3,1,1,2,2,2,2,2,1,3,4,
4,4,4,2,2,2,4,4,2,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,25,70,21,13,14,24,77,60,150,
184,32,284,20,28,32,1,3,6,42,24,46,67,168,48,9,8,6,8,69,130,168,32,168,16,48,
520,12,20,28,20,40,24,48,40,48,32,32,64,64,6,8,10,10,10,16,6,14,32,32,64,8,14,
168,2,21,3,7,65,252,3,12,12,126,2,8,8,5,12,3,16,12,2,2,4,8,2,6,6,4,12,8,16,6,
6,4,6,12,4,4,2,8,12,8,16,16,32,16,32,4,10,32,32,10,10,12,20,12,16,64,6,10,10,
12,8,6,6,6,8,12,12,64,24,16,48,16,32,32,48,24,24,5,3,3,16,12,24,2,3,8,8,12,12,
1,21,42,2,6,6,12,4,4,2,2,6,6,4,6,4,12,8,6,4,8,16,6,8,16,32,16,2,2,2,4,4,8,6,2,
12,4,6,12,8,16,3,4,12,2,2,2,2,4,4,2,6,4,8,4,8,8,4,8,4,4,8,4,8,4,4,1,2,4,8,1,2,
4,6,2,6,6,6,8,3,2,2,2,2,4,1,3,4,4,4,4,4,2,4,4,2,4,4,2,1,1,2,1,2,4,2,1],[1,33,
62,49,13,14,24,73,60,166,168,16,276,44,20,16,1,17,6,42,24,42,69,168,48,9,4,6,
8,73,126,168,32,184,8,48,504,44,20,116,20,24,40,32,16,32,16,16,64,32,10,12,6,
58,6,8,10,10,8,16,64,8,1,14,168,1,23,3,7,63,252,3,12,12,126,9,3,2,4,3,12,5,16,
12,4,8,4,2,2,6,4,12,4,8,6,6,6,12,6,42,42,4,8,8,4,8,8,16,8,16,54,4,8,16,6,6,12,
12,12,8,48,10,6,10,20,12,10,58,10,12,12,12,48,16,16,64,8,8,16,64,24,24,9,3,3,
3,12,12,24,3,5,2,4,12,16,1,21,42,2,6,6,12,2,14,2,42,6,6,2,2,2,6,4,12,4,2,2,4,
8,6,4,8,8,16,8,4,1,2,2,4,21,6,2,4,12,6,12,4,8,3,4,12,4,2,2,2,2,4,2,6,4,4,4,8,
4,4,4,4,4,4,4,8,8,4,4,8,1,7,1,2,4,1,7,1,2,2,6,6,6,6,4,3,1,1,2,2,2,2,2,1,3,4,4,
4,4,2,2,2,4,4,2,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,25,70,21,13,14,24,77,76,150,
168,48,268,20,28,32,1,3,6,42,24,42,67,168,48,13,12,16,6,8,69,126,168,32,168,
16,48,504,12,28,28,36,24,24,40,32,40,32,32,32,48,64,14,20,6,10,6,16,16,10,14,
16,32,48,8,14,168,2,2,21,3,7,63,252,3,12,12,126,2,2,4,4,4,8,3,12,3,12,12,4,4,
8,2,4,6,12,8,16,6,6,6,12,4,8,8,8,16,4,8,16,32,8,16,32,4,8,16,32,6,6,12,12,12,
16,16,48,10,10,6,10,20,12,6,4,6,6,16,12,12,48,20,12,48,16,8,16,16,16,32,48,8,
16,8,16,3,3,3,12,12,24,2,2,3,4,4,8,4,12,12,1,21,42,2,6,6,12,2,6,6,4,6,12,8,4,
8,16,4,8,6,4,4,8,16,32,16,4,2,4,2,4,4,8,6,12,6,12,8,16,3,4,4,8,4,4,4,4,2,2,4,
4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,1,2,4,8,1,2,4,2,6,6,6,6,8,3,2,2,1,1,2,2,2,1,3,4,
4,4,4,2,2,2,8,2,8,2,1,1,2,1,2,2,2,2,1],[1,25,70,13,21,14,168,77,268,150,24,48,
76,20,28,32,3,1,42,42,168,6,13,24,48,67,12,16,126,168,69,6,8,168,32,16,504,48,
12,28,28,36,40,32,40,24,24,32,32,64,48,32,14,20,14,10,6,16,16,32,10,6,16,48,8,
14,168,2,2,3,21,7,3,12,63,252,126,12,2,2,4,4,8,4,3,12,3,12,12,4,4,8,2,6,4,12,
8,16,6,16,32,8,6,6,12,4,8,4,8,8,16,16,32,8,4,16,8,6,6,12,12,12,16,32,16,48,10,
10,6,10,20,12,6,4,6,6,16,12,20,48,12,12,48,16,16,32,16,8,16,48,8,16,8,16,3,3,
3,12,12,24,2,2,3,4,4,4,8,12,12,21,1,42,2,6,6,12,16,2,4,6,6,6,12,8,4,8,4,8,16,
6,4,4,8,16,32,4,2,4,4,8,2,4,6,12,6,12,8,16,3,4,4,8,4,4,4,4,2,2,4,4,4,4,4,4,4,
4,4,4,4,8,8,8,8,8,1,2,4,8,1,2,2,4,6,6,6,6,8,3,2,2,1,1,2,2,2,1,3,4,4,4,4,2,2,2,
8,2,8,2,1,1,2,1,2,2,2,2,1],[1,25,70,13,21,14,184,77,284,150,24,32,60,20,28,32,
3,1,46,42,168,6,9,24,48,67,8,16,130,168,69,6,8,168,32,520,48,12,28,20,20,48,
40,48,40,24,32,32,64,64,6,8,14,6,10,32,16,32,10,10,64,8,14,168,2,3,21,7,3,12,
65,252,126,12,2,8,8,5,12,3,12,16,2,2,4,8,2,6,6,12,4,8,16,4,2,6,16,32,8,6,6,12,
4,4,12,8,16,16,32,10,10,10,20,12,12,16,32,32,64,10,6,6,12,8,6,4,6,10,16,24,48,
12,12,64,8,16,32,32,48,24,24,3,5,3,12,16,24,2,3,8,8,12,12,21,1,42,4,4,2,6,6,
12,16,2,4,6,6,6,12,4,8,4,6,8,16,2,6,8,16,32,2,2,2,4,4,8,2,6,12,6,12,4,8,16,3,
4,12,2,2,2,2,4,4,2,6,4,8,4,8,8,4,8,4,4,4,8,8,4,4,1,2,4,8,1,2,4,6,6,6,6,2,8,3,
2,2,2,2,4,1,3,4,4,4,4,4,2,4,4,2,4,4,2,1,1,2,1,2,4,2,1],[1,25,38,9,37,2,24,25,
84,82,24,16,60,36,28,32,15,1,6,6,24,6,9,24,15,4,8,6,8,25,6,8,48,32,48,48,20,
60,12,12,16,16,16,8,24,32,6,12,6,30,2,8,16,32,30,10,16,32,64,8,1,1,3,5,1,3,12,
3,12,12,12,4,5,3,2,8,4,8,1,4,3,12,8,8,8,4,8,4,8,8,2,4,2,4,8,6,4,8,4,12,12,8,6,
6,8,8,8,8,16,8,16,4,2,2,4,4,4,8,16,6,6,6,12,12,30,30,6,2,8,8,32,4,4,16,12,8,
32,24,24,5,1,1,1,4,4,8,3,3,2,8,4,1,1,2,2,2,2,2,4,2,2,4,6,8,4,1,2,4,3,2,4,6,2,
4,4,4,8,1,4,12,4,2,2,2,2,4,4,2,4,6,8,4,8,8,8,4,8,4,4,4,4,8,8,4,4,8,8,8,16,1,1,
2,1,1,1,2,1,1,2,1,1,4,4,4,4,2,1,2,2,1,2,2,2,2,2,4,4,2,4,4,8,2,2,2,1,1,1,2,2,2,
1],[1,25,38,37,9,2,24,25,60,82,24,16,84,36,28,32,1,15,6,6,24,6,15,24,9,4,6,8,
25,6,8,32,48,8,48,48,20,12,60,12,8,24,16,16,16,32,6,12,10,30,2,16,16,32,30,6,
8,32,64,8,1,1,5,3,1,3,12,3,12,12,12,5,4,3,4,8,2,8,1,4,3,8,12,4,8,8,8,4,8,8,2,
2,4,4,8,12,8,16,8,6,6,6,4,8,4,12,8,8,8,8,16,30,4,8,2,2,4,4,4,16,6,2,6,12,12,6,
30,6,12,4,4,16,8,8,32,8,32,24,24,5,1,1,1,4,4,8,3,3,2,4,8,1,1,2,2,6,2,2,2,4,2,
2,4,8,4,2,4,6,1,2,4,3,4,2,4,4,8,1,4,12,4,2,2,2,2,4,2,4,4,6,8,8,8,4,8,4,8,4,4,
4,4,8,8,8,8,4,4,8,16,1,1,2,1,1,1,2,1,1,2,1,1,4,4,2,4,4,2,2,1,1,2,2,2,2,2,4,4,
2,4,4,8,2,2,2,1,1,1,2,2,2,1],[1,33,62,37,37,2,24,37,132,130,24,112,132,44,20,
16,15,15,6,6,24,6,27,24,27,28,56,6,8,37,6,8,80,80,56,48,48,44,108,108,84,16,
16,32,16,16,32,16,16,32,48,32,42,84,6,54,2,8,8,16,54,6,8,16,48,56,1,1,7,7,9,9,
1,3,12,3,12,12,12,9,9,21,21,28,2,4,2,4,1,4,21,8,8,4,8,4,8,4,4,4,4,8,14,14,42,
2,2,4,4,4,8,6,4,8,6,6,6,4,8,6,6,8,8,4,8,4,8,8,54,4,8,16,4,2,2,4,4,4,8,16,8,16,
42,42,6,42,84,84,54,54,54,6,84,8,8,32,8,8,32,84,8,16,8,8,8,16,48,56,168,168,
168,9,9,1,1,1,4,4,8,21,21,21,28,2,4,2,4,8,8,1,1,2,2,2,2,6,2,2,2,2,2,2,4,4,4,2,
2,4,8,2,2,4,8,4,6,4,4,4,8,8,4,4,4,1,2,2,4,3,1,2,2,4,3,2,2,4,4,1,28,84,84,84,4,
4,4,2,2,2,2,4,2,2,2,2,4,4,4,4,2,2,2,42,42,42,84,56,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,8,8,8,8,4,8,8,8,4,4,8,4,4,8,8,8,7,7,21,1,1,1,2,1,2,2,2,1,1,2,
1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,28,
2,2,2,4,4,4,4,8,2,2,2,4,4,4,4,8,4,4,4,1,2,2,2,2,1,1,1,1,1,1,2,2,2,2,4,4,1],[1,
17,30,9,9,2,24,21,60,66,24,60,36,4,32,1,1,6,6,24,6,9,24,9,6,8,21,6,8,32,32,48,
48,4,4,4,4,8,8,8,8,16,2,2,26,2,16,16,26,2,16,16,16,3,3,1,3,12,3,12,12,12,4,4,
4,4,1,4,1,4,4,8,12,8,12,12,12,4,4,8,8,8,2,2,4,4,4,16,2,2,2,4,2,2,2,4,4,16,4,4,
16,16,8,8,8,1,1,1,4,4,8,1,4,4,1,1,2,6,2,6,4,4,1,4,8,4,4,4,8,4,4,4,4,4,8,1,1,1,
1,2,2,2,2,1,2,2,2,1,1,1,1],[1,25,54,9,37,2,24,33,84,82,40,48,92,28,44,16,15,1,
6,6,24,10,13,24,15,12,8,6,8,25,10,8,48,32,16,48,64,20,68,28,20,32,16,16,32,40,
80,48,32,6,20,18,10,6,24,8,16,30,10,32,48,8,8,1,1,2,3,5,1,5,12,3,12,12,12,5,2,
3,6,4,8,3,4,3,8,8,2,2,4,4,8,8,12,8,2,2,6,6,4,12,4,6,4,16,4,8,4,4,2,8,18,6,12,
8,8,4,16,8,4,10,32,4,6,6,4,12,4,8,32,6,18,10,12,20,30,30,6,2,8,8,8,48,16,8,16,
12,8,8,32,32,24,24,24,24,5,3,1,1,8,4,8,2,3,3,8,2,8,4,1,1,4,4,2,6,2,6,2,4,2,4,
4,6,4,4,2,2,4,6,4,8,8,2,4,2,3,2,2,3,2,4,2,2,4,4,8,1,4,4,12,12,2,2,4,2,6,2,6,4,
2,2,4,4,4,4,2,2,6,6,4,4,4,4,4,4,4,12,8,4,4,8,4,4,4,12,4,8,8,8,4,8,4,4,8,8,4,4,
2,1,1,1,2,1,2,2,3,1,2,2,2,2,1,3,2,2,2,2,1,1,1,4,4,4,4,4,4,4,4,2,2,2,2,4,4,4,4,
2,2,4,4,4,4,1,1,2,1,1,2,1,1,1,2,2,1],[1,17,62,9,9,2,24,37,76,66,40,80,108,36,
20,32,1,1,6,6,24,10,17,24,13,20,16,6,8,21,10,8,32,32,32,48,64,4,28,36,36,24,8,
32,40,32,16,16,32,64,64,10,28,6,10,6,16,32,30,10,32,16,32,8,8,2,4,3,3,1,5,12,
3,12,12,12,4,4,2,4,8,8,4,3,4,1,8,4,2,2,4,8,8,4,4,16,2,2,6,4,8,8,12,4,8,8,4,4,
2,8,12,12,8,4,16,8,8,8,16,8,10,32,16,6,6,4,12,4,8,16,32,10,6,6,10,12,20,2,4,2,
2,24,12,4,32,16,8,16,16,8,16,16,32,16,16,8,16,24,8,16,24,3,1,1,8,4,8,4,2,1,4,
8,4,4,4,4,1,1,4,4,2,4,4,4,4,6,4,8,8,4,4,8,8,4,8,2,2,4,4,4,6,2,4,2,4,2,4,4,1,4,
12,4,4,8,2,2,4,4,4,2,2,4,8,8,4,4,2,2,6,2,4,4,4,4,4,4,8,4,16,4,4,8,4,4,8,8,4,4,
8,16,8,8,4,4,8,8,1,1,1,1,2,2,2,2,2,2,2,2,4,2,2,4,2,2,1,1,1,4,4,8,8,4,4,2,2,2,
2,4,4,8,2,2,4,4,8,2,2,2,2,1,1,1,2,2,1],[1,25,54,37,9,2,40,33,92,82,24,48,84,
28,44,16,1,15,10,6,24,6,15,24,13,12,16,10,8,25,6,8,32,48,8,64,48,20,28,68,20,
32,40,80,32,16,16,32,48,6,20,10,30,6,32,8,10,18,24,16,48,8,8,1,2,1,5,3,1,3,12,
5,12,12,12,5,3,2,8,6,4,3,4,3,8,8,2,4,8,2,4,12,8,8,2,2,6,6,12,4,4,4,2,8,18,6,6,
4,8,4,4,8,12,4,8,16,8,16,30,4,8,10,6,6,12,4,4,32,32,10,2,6,12,20,6,4,30,18,12,
8,16,16,8,8,48,8,8,32,8,32,24,24,24,24,5,1,3,1,4,8,8,3,2,3,2,8,4,8,1,1,4,4,2,
6,6,4,2,6,2,4,4,2,2,4,6,4,2,4,4,8,8,2,2,4,2,4,3,2,2,3,2,2,4,4,8,1,4,4,12,12,2,
2,4,2,2,4,6,2,6,2,4,4,4,4,2,2,6,6,4,12,8,4,4,4,4,4,4,4,4,4,12,4,8,4,4,4,8,8,8,
8,8,4,4,4,4,8,2,1,1,1,1,2,2,2,2,1,3,2,2,2,3,1,2,2,2,2,1,1,1,4,4,4,4,4,4,4,4,2,
2,2,2,4,4,4,4,2,2,4,4,4,4,1,1,2,1,1,2,1,1,1,2,2,1],[1,17,62,9,9,2,40,37,108,
66,24,80,76,36,20,32,1,1,10,6,24,6,13,24,17,20,32,10,8,21,6,8,32,32,16,64,48,
4,36,28,36,32,40,32,24,8,16,16,64,64,32,10,28,10,30,6,32,16,16,10,6,32,32,8,8,
4,2,3,3,1,3,12,5,12,12,12,4,2,4,4,8,4,8,3,4,1,4,8,2,8,2,4,8,4,4,16,2,2,6,4,8,
8,4,2,8,12,12,8,4,4,8,12,8,8,4,16,8,16,8,4,16,10,6,6,12,4,4,8,16,32,32,10,10,
2,6,12,20,2,8,2,6,16,8,16,16,4,12,32,24,16,16,32,8,16,16,8,16,8,24,16,24,1,3,
1,4,8,8,2,4,1,4,4,8,4,4,4,1,1,4,4,4,4,4,4,4,4,8,4,6,8,8,2,4,8,8,2,2,4,2,4,2,4,
4,4,6,2,4,4,1,4,4,12,4,8,2,2,4,2,2,4,4,4,4,8,8,4,2,2,6,2,4,4,4,16,4,4,4,8,4,4,
4,8,4,4,4,8,8,4,16,8,8,8,4,4,8,8,1,1,1,1,2,2,2,2,2,2,2,4,2,2,2,2,2,4,1,1,1,4,
4,8,8,4,4,2,2,2,2,4,4,8,2,2,4,4,8,2,2,2,2,1,1,1,2,2,1],[1,25,54,13,21,14,168,
69,252,150,24,60,12,28,16,3,1,42,42,168,6,9,24,48,63,126,168,69,6,8,168,32,
504,48,12,12,12,12,24,24,24,24,48,6,6,6,6,8,6,14,16,16,48,16,14,168,3,21,7,3,
12,63,252,126,12,4,4,3,12,3,12,12,10,12,4,6,4,6,6,12,4,16,16,6,6,12,12,12,48,
6,6,6,12,6,6,6,12,12,48,12,12,48,48,8,8,8,3,3,3,12,12,24,3,12,12,21,1,42,2,6,
6,12,2,6,6,6,12,6,2,2,6,12,6,12,8,3,4,4,4,4,4,4,4,4,4,8,1,2,6,6,6,6,3,1,1,2,3,
2,2,2,4,4,4,4,1,1,1,2,2,1],[1,25,54,21,13,14,24,69,60,150,168,252,12,28,16,1,
3,6,42,24,42,63,168,48,9,6,8,69,126,168,32,168,48,504,12,12,12,12,24,24,24,24,
48,6,14,6,6,16,8,16,6,6,48,16,14,168,21,3,7,63,252,3,12,12,126,4,4,3,12,3,12,
12,10,12,4,6,6,16,6,12,4,4,16,6,6,12,12,12,48,6,6,6,12,6,6,6,12,12,48,12,12,
48,48,8,8,8,3,3,3,12,12,24,3,12,12,1,21,42,2,6,6,12,2,6,6,6,12,6,2,2,6,12,6,
12,8,3,4,4,4,4,4,4,4,4,4,8,1,2,6,6,6,6,3,1,1,2,3,2,2,2,4,4,4,4,1,1,1,2,2,1],[
1,25,38,37,9,2,24,25,60,82,24,16,84,20,12,32,1,15,6,6,24,6,15,24,9,4,6,8,25,6,
8,32,48,8,48,48,20,12,60,12,8,24,16,16,16,32,6,12,2,30,2,16,32,6,6,8,32,8,16,
1,1,5,3,1,3,12,3,12,12,12,5,3,8,2,1,4,3,8,4,4,8,4,2,2,4,8,16,6,6,6,4,8,8,8,16,
30,4,8,2,2,4,4,4,16,6,2,6,12,12,6,30,6,12,4,4,16,8,8,32,8,32,24,24,8,8,8,5,1,
1,1,4,4,8,3,3,2,4,8,1,1,2,2,6,2,2,2,4,2,2,4,8,4,4,1,2,3,2,4,8,1,4,12,4,2,2,2,
2,4,2,6,4,4,8,4,4,4,4,4,4,4,4,8,8,4,4,8,4,8,2,1,1,1,2,1,1,2,2,2,1,1,2,2,2,2,4,
4,2,4,4,4,4,4,4,1,1,1,2,2,1],[1,25,38,9,37,2,24,25,84,82,24,16,60,20,12,32,15,
1,6,6,24,6,9,24,15,4,8,6,8,25,6,8,48,32,48,48,20,60,12,12,16,16,16,8,24,32,6,
12,6,6,2,8,16,30,2,32,32,8,16,1,1,3,5,1,3,12,3,12,12,12,5,3,2,8,1,4,3,4,8,4,8,
4,2,2,4,8,6,4,8,6,6,8,8,16,16,4,2,2,4,4,4,8,16,6,6,6,12,12,30,30,6,2,8,8,32,4,
4,16,12,8,32,24,24,8,8,8,5,1,1,1,4,4,8,3,3,2,8,4,1,1,2,2,2,2,2,4,2,2,4,6,8,4,
1,2,3,4,2,4,8,1,4,12,4,2,2,2,2,4,2,6,4,4,8,4,4,4,4,4,4,4,4,8,8,4,4,8,4,8,2,1,
1,1,2,1,1,2,2,2,1,1,2,2,2,2,4,4,2,4,4,4,4,4,4,1,1,1,2,2,1],[1,17,30,9,9,2,24,
21,60,66,24,60,20,52,32,1,1,6,6,24,6,9,24,9,6,8,21,6,8,32,32,48,48,4,4,4,4,8,
8,8,8,16,10,18,10,10,16,16,16,10,18,16,16,80,3,3,1,3,12,3,12,12,12,4,4,4,4,5,
20,5,20,20,8,8,8,8,8,4,4,4,16,4,8,4,4,4,8,4,4,4,16,16,16,2,2,4,4,4,16,2,2,2,4,
2,2,2,4,4,16,4,4,16,16,1,1,1,4,4,8,1,4,4,1,1,2,2,2,2,4,4,8,8,4,8,4,8,8,8,5,8,
4,4,4,4,4,4,4,4,2,2,2,2,2,1,1,1,1,2,2,1,1,1,1,1],[1,17,46,9,9,2,24,29,76,66,
24,48,76,28,20,16,1,1,6,6,24,6,13,24,13,12,16,6,8,21,6,8,32,32,16,48,48,4,20,
20,28,8,8,8,8,16,16,32,16,32,18,20,10,14,10,8,16,14,10,16,80,8,16,2,2,3,3,1,3,
12,3,12,12,12,2,2,4,4,4,5,20,5,20,20,4,4,8,2,4,4,8,8,4,8,4,4,4,4,8,4,4,8,4,8,
4,8,8,4,16,2,2,4,4,4,8,16,16,10,6,2,6,12,12,2,4,2,2,16,4,4,16,4,4,16,16,8,16,
8,16,16,8,16,8,16,8,8,8,1,1,1,4,4,8,2,2,1,4,4,4,4,4,1,1,4,4,8,4,8,4,4,4,2,4,2,
4,4,4,8,8,4,8,4,8,5,4,4,8,4,4,4,4,2,2,4,8,4,4,4,4,4,4,8,8,8,8,8,4,8,1,2,2,2,2,
2,2,2,1,1,2,2,2,2,8,2,8,8,8,1,1,1,4,1],[1,17,46,9,9,2,24,29,60,66,40,32,92,12,
36,48,1,1,6,6,24,10,13,24,9,8,6,8,21,10,8,32,32,16,48,64,4,12,20,12,24,8,32,
40,32,32,2,8,6,6,6,24,32,2,18,48,16,32,8,2,3,3,1,5,12,3,12,12,12,2,8,12,4,3,4,
1,8,4,2,2,4,8,2,10,4,12,4,16,8,4,2,8,12,4,8,16,16,16,4,10,32,6,6,4,12,4,32,2,
6,6,4,8,2,2,2,8,4,4,32,16,8,16,32,16,24,24,3,1,1,8,4,8,2,1,8,4,4,1,1,4,4,2,4,
4,6,4,8,2,2,4,4,4,2,2,4,8,8,1,4,12,2,2,2,2,4,4,2,6,4,4,4,4,4,4,8,4,8,4,4,8,4,
8,4,4,2,2,1,2,2,2,2,1,1,2,2,2,1,1,2,4,4,2,4,4,4,4,4,4,1,1,1,2,2,1],[1,17,46,9,
9,2,24,29,76,66,24,48,76,12,4,80,1,1,6,6,24,6,13,24,13,12,16,6,8,21,6,8,32,32,
16,48,48,4,20,20,28,8,8,8,8,16,16,32,16,32,10,20,2,6,2,40,48,6,2,48,16,8,2,2,
3,3,1,3,12,3,12,12,12,2,2,4,12,12,1,4,1,4,4,4,4,8,2,20,8,16,12,8,12,8,16,16,8,
16,4,16,2,2,4,4,4,8,16,16,10,6,2,6,12,12,2,4,2,2,16,4,4,16,4,4,16,16,8,16,8,
16,16,8,16,8,16,1,1,1,4,4,8,2,2,1,4,4,4,4,4,1,1,4,4,8,4,8,4,4,4,6,4,6,4,8,8,1,
4,4,8,4,4,4,4,2,2,4,4,4,8,4,4,8,4,4,8,8,8,8,8,2,2,1,2,2,2,2,2,2,2,2,1,1,2,8,2,
8,8,8,1,1,1,4,1],[1,17,46,9,9,2,40,29,92,66,24,32,60,12,36,48,1,1,10,6,24,6,9,
24,13,8,16,10,8,21,6,8,32,32,64,48,4,20,12,12,32,40,32,24,8,32,2,8,18,2,6,48,
24,16,6,6,32,32,8,2,3,3,1,3,12,5,12,12,12,2,12,4,8,3,4,1,4,8,2,2,4,8,2,10,4,
12,4,2,16,8,8,4,12,8,4,16,16,16,10,6,6,12,4,4,32,32,6,2,2,4,8,2,4,2,6,8,16,16,
4,4,32,8,32,16,24,24,1,3,1,4,8,8,2,1,8,4,4,1,1,4,4,4,4,4,6,2,8,2,2,4,4,2,4,2,
4,8,8,1,4,12,2,2,2,2,4,4,2,6,4,4,4,4,4,4,8,4,8,4,4,4,8,8,4,4,2,2,1,2,2,2,2,1,
1,2,2,2,1,1,2,4,4,2,4,4,4,4,4,4,1,1,1,2,2,1],[1,17,30,9,9,2,24,21,60,66,24,60,
20,20,64,1,1,6,6,24,6,9,24,9,6,8,21,6,8,32,32,48,48,4,4,4,4,8,8,8,8,16,2,2,2,
2,32,16,26,10,16,48,16,3,3,1,3,12,3,12,12,12,4,4,4,12,1,4,1,4,4,4,16,12,8,4,
12,12,4,8,16,16,16,16,2,2,4,4,4,16,2,2,2,4,2,2,2,4,4,16,4,4,16,16,1,1,1,4,4,8,
1,4,4,1,1,2,6,2,6,4,8,8,1,4,4,4,4,4,4,4,4,8,8,1,1,2,2,1,1,2,2,2,2,2,1,1,1,1,
1],[1,17,30,9,9,2,24,21,60,66,24,60,20,20,64,1,1,6,6,24,6,9,24,9,6,8,21,6,8,
32,32,48,48,4,4,4,4,8,8,8,8,16,2,10,26,2,16,32,48,2,2,16,16,3,3,1,3,12,3,12,
12,12,4,4,12,4,1,4,1,4,4,4,16,16,16,12,12,4,4,12,16,16,8,8,2,2,4,4,4,16,2,2,2,
4,2,2,2,4,4,16,4,4,16,16,1,1,1,4,4,8,1,4,4,1,1,2,6,2,6,8,8,4,1,4,4,8,4,4,4,4,
4,4,8,1,2,2,1,1,1,2,2,2,2,2,1,1,1,1,1],[1,17,46,9,9,2,8,29,44,50,24,48,76,44,
36,16,1,1,2,6,6,13,24,9,12,16,2,17,6,8,8,32,16,8,48,8,32,24,32,16,8,16,16,16,
16,8,8,16,32,16,14,28,10,34,6,16,8,22,14,16,16,64,8,16,2,2,3,1,1,3,12,1,12,4,
2,2,4,4,4,4,4,3,8,3,12,12,2,4,8,6,12,12,4,2,2,2,4,6,8,4,4,4,6,4,12,4,12,12,4,
8,4,4,8,8,4,4,4,8,4,8,4,4,8,8,2,2,2,4,4,8,10,8,2,6,12,12,4,6,2,2,16,4,8,8,4,4,
8,16,4,4,8,8,8,8,24,16,8,16,8,1,2,2,2,1,4,2,2,2,1,2,2,1,1,3,2,2,1,4,2,2,2,2,4,
1,2,2,1,2,2,4,1,2,1,2,2,2,2,6,4,2,6,2,6,4,2,4,4,8,2,6,2,2,4,2,3,3,2,6,2,2,2,2,
4,4,2,4,2,2,2,4,2,6,4,4,2,6,2,6,4,2,4,6,8,8,4,2,2,2,4,2,4,4,6,6,6,6,4,4,1,1,1,
1,1,1,1,1,1,1,1,1,1,2,3,2,1,2,3,1,1,1,1,1,2,2,2,2,2,2,2,2,3,2,2,1,2,2,4,2,2,2,
2,2,2,2,2,4,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,25,38,37,9,2,8,25,28,66,24,16,
84,36,28,32,1,15,2,6,6,15,24,5,4,2,21,6,8,8,48,8,8,48,24,24,64,16,16,8,32,8,8,
8,8,16,16,16,10,20,10,34,6,16,16,16,22,10,8,32,48,8,16,1,1,5,1,1,3,12,1,12,5,
2,3,2,4,4,2,8,3,8,5,8,12,2,6,12,4,12,4,4,4,2,2,2,2,6,4,8,8,4,4,6,4,12,6,6,6,4,
4,8,8,4,4,4,8,8,4,8,8,30,8,2,2,2,4,4,8,8,2,6,12,12,8,2,30,6,12,4,8,8,8,4,4,8,
8,8,32,8,24,8,5,1,2,3,3,2,2,1,2,2,1,2,2,6,1,3,2,1,4,2,2,4,1,2,2,1,2,2,1,2,2,1,
1,4,2,3,4,6,2,6,4,4,2,4,12,2,6,2,2,4,2,3,3,2,6,2,2,2,2,4,4,4,2,6,2,2,2,2,8,4,
8,2,2,2,2,4,4,2,4,2,8,8,4,4,2,2,2,4,2,4,6,6,6,6,8,1,1,1,1,1,1,1,1,1,1,1,1,1,2,
1,2,1,2,1,1,4,1,1,1,1,2,2,2,2,2,2,2,2,1,2,2,3,2,2,4,2,2,2,2,2,2,2,2,4,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1],[1,17,46,9,9,2,24,29,76,50,8,48,44,44,36,16,1,1,6,6,
24,2,9,13,12,16,6,8,17,2,32,8,16,48,8,8,24,32,32,16,16,16,16,8,16,8,8,16,32,
16,14,28,14,22,6,16,8,16,34,10,16,64,8,16,2,2,1,3,1,1,3,12,12,2,4,4,2,4,4,4,4,
3,8,3,12,12,2,6,12,4,8,12,4,2,2,2,6,4,8,4,4,12,4,8,4,8,4,4,6,4,12,4,12,8,8,4,
4,4,8,4,6,2,4,2,2,4,4,8,8,8,10,6,2,8,12,12,2,4,4,2,16,4,4,8,8,4,8,16,4,8,8,4,
8,8,16,8,16,24,8,1,2,2,2,1,4,2,2,2,1,2,2,1,1,2,3,1,1,2,4,2,1,2,2,2,2,4,2,2,4,
2,2,2,2,2,6,1,2,1,2,4,6,2,6,4,2,4,4,8,2,6,2,2,4,2,2,3,3,2,2,6,2,2,4,4,4,2,2,2,
2,4,4,6,2,2,6,6,2,4,2,6,4,4,8,8,4,2,2,4,2,4,2,4,4,6,4,6,6,6,1,1,1,1,1,1,1,1,1,
1,1,1,1,2,1,3,2,1,3,1,2,1,1,1,2,2,2,2,2,2,2,2,3,2,1,2,2,2,4,2,2,2,2,2,2,2,2,4,
1,2,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,25,38,9,37,2,24,25,84,66,8,16,28,36,28,32,
15,1,6,6,24,2,5,15,4,8,6,8,21,2,48,8,48,8,24,64,24,16,8,8,16,8,32,8,8,16,16,
16,10,20,10,22,6,8,16,32,34,10,16,16,48,8,16,1,1,1,5,1,1,3,12,12,2,5,2,3,2,8,
4,4,3,8,5,12,8,2,6,12,12,4,4,4,4,2,2,2,6,2,8,4,8,4,6,4,8,8,4,4,6,4,12,6,6,8,4,
4,8,4,8,8,4,2,2,2,2,4,4,8,8,6,6,8,12,12,30,30,8,2,8,8,4,8,12,4,8,4,8,24,8,32,
8,8,5,1,2,3,3,2,2,1,2,2,2,1,2,1,2,3,1,1,4,2,1,2,2,4,6,2,2,2,1,4,2,3,1,2,2,1,4,
6,2,6,4,4,2,4,12,2,6,2,2,4,2,2,3,3,2,2,6,2,2,4,4,4,2,2,2,6,4,2,2,2,8,2,8,2,2,
4,4,2,2,4,8,8,4,2,2,4,2,4,2,4,6,6,6,6,8,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,1,1,
1,4,2,1,1,1,2,2,2,2,2,2,2,2,1,2,3,2,2,2,4,2,2,2,2,2,2,2,2,4,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1],[1,21,34,35,3,4,48,21,60,48,36,20,32,32,15,4,4,16,9,8,6,18,24,
9,12,24,60,12,36,24,48,12,12,12,24,8,10,18,6,8,16,16,4,12,24,16,40,12,8,1,1,
12,3,3,12,3,3,2,2,4,6,4,3,6,4,3,2,3,6,2,12,4,3,6,2,12,4,8,2,9,4,8,4,12,3,6,6,
4,4,8,4,8,18,3,6,12,18,12,12,6,6,24,24,12,12,4,4,4,3,3,6,1,3,3,3,6,4,6,3,6,1,
3,2,4,3,2,2,3,6,2,4,2,6,3,9,6,6,6,2,3,3,4,4,4,2,2,6,2,2,12,6,6,6,4,4,6,6,2,4,
4,1,2,3,3,3,1,1,2,1,2,2,3,1,3,3,6,6,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,21,34,
3,35,4,21,36,48,48,60,20,32,32,15,4,4,6,16,8,9,9,18,24,24,12,60,12,36,12,12,
12,24,48,24,8,12,4,6,24,16,16,18,10,8,16,40,12,8,1,1,12,3,3,12,3,3,2,6,4,2,4,
3,4,6,2,3,2,3,6,4,12,3,2,6,12,4,8,9,3,6,2,4,12,4,6,8,4,4,8,4,8,3,6,12,12,18,
18,6,6,24,12,24,12,12,4,4,4,3,3,6,1,3,3,3,6,4,6,3,6,1,3,3,2,2,4,2,3,6,2,4,2,6,
3,9,6,6,6,3,2,3,2,4,4,4,2,6,2,2,12,6,6,6,6,4,6,4,2,4,4,1,2,3,3,3,1,2,1,1,2,2,
3,1,3,3,6,6,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,13,42,3,7,4,16,25,44,32,48,16,
60,28,40,16,1,4,4,4,6,16,8,7,4,8,4,5,18,24,8,12,16,60,4,20,8,8,12,20,12,24,16,
56,4,20,16,8,2,32,8,18,6,8,16,40,4,8,8,1,12,1,1,3,12,2,3,2,2,3,8,2,4,1,2,4,6,
2,1,2,5,10,4,8,2,1,2,6,12,8,5,4,7,6,2,4,6,6,4,10,8,4,8,4,8,5,6,4,8,8,16,4,4,4,
2,4,14,6,8,4,8,16,4,8,8,8,8,4,4,4,4,4,1,2,4,1,2,2,1,1,1,5,6,2,4,4,4,2,1,2,2,1,
3,2,2,1,2,4,2,4,3,2,2,4,2,6,3,1,8,4,2,2,4,6,1,2,2,1,2,4,2,4,4,2,2,4,2,2,4,4,8,
6,2,6,2,4,4,4,2,4,2,4,4,1,2,2,1,1,2,1,2,1,2,1,1,2,2,1,2,1,1,2,2,1,2,2,2,4,2,2,
2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,13,42,7,3,4,48,25,60,32,16,16,44,28,40,16,1,
4,4,16,4,7,8,6,4,18,24,5,4,12,8,8,60,16,4,8,20,8,24,16,12,20,12,56,4,20,6,18,
2,8,8,16,8,16,32,40,4,8,8,1,12,1,1,2,3,12,3,2,3,2,2,4,8,1,2,6,4,1,2,5,10,2,8,
4,2,1,6,2,12,8,2,5,4,8,4,6,6,4,7,6,10,4,8,4,8,4,5,8,6,4,8,16,4,4,2,4,4,8,4,16,
6,14,8,8,8,4,8,8,4,4,4,4,1,2,4,1,2,2,1,1,5,1,6,2,2,4,4,2,4,1,2,1,3,2,4,2,2,1,
2,4,3,2,2,4,2,6,3,1,8,2,2,4,4,6,2,2,1,2,1,4,4,4,2,2,2,4,2,2,4,4,8,6,2,6,4,4,2,
4,4,2,2,4,4,1,2,2,1,1,2,1,2,1,2,1,1,2,2,1,2,1,1,2,2,1,2,2,2,2,4,2,2,2,2,2,2,2,
2,1,1,1,1,1,1,1,1],[1,13,58,7,3,4,64,33,92,32,16,48,44,20,24,32,1,8,4,16,4,7,
8,10,12,16,22,24,5,4,12,8,8,76,16,4,8,20,8,40,24,32,12,20,12,16,16,64,56,4,12,
6,18,6,24,16,16,4,12,16,16,24,4,8,8,8,1,12,2,1,1,2,5,12,3,2,3,6,4,4,4,3,2,6,1,
5,10,8,8,2,2,1,2,12,4,5,4,8,2,6,4,7,6,10,4,8,4,8,8,4,5,8,6,10,12,8,8,16,24,16,
4,4,2,8,4,8,12,16,6,14,8,16,16,24,8,8,4,8,24,8,4,24,4,4,4,8,8,8,8,3,2,4,1,2,6,
4,2,1,1,5,1,6,4,2,2,4,4,2,4,4,1,4,2,4,8,1,3,2,2,1,4,3,2,2,4,4,12,2,6,3,1,8,2,
2,4,4,4,4,6,2,1,2,6,1,8,4,2,4,2,4,2,4,2,2,4,4,8,6,2,6,8,2,4,4,2,2,4,4,4,4,4,4,
8,1,1,2,1,2,1,2,1,2,2,1,1,2,2,4,2,2,2,2,4,1,2,1,1,2,2,1,2,2,2,2,2,2,4,2,2,2,2,
2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,13,58,3,7,4,16,33,44,32,64,48,92,20,
24,32,1,4,4,8,10,16,8,7,12,8,4,5,22,24,8,12,16,16,76,4,20,8,8,12,20,12,40,24,
32,16,16,56,64,4,12,12,4,6,16,16,16,18,6,24,16,24,8,4,8,8,1,12,1,2,1,5,12,2,3,
2,3,4,4,6,4,3,2,6,1,5,10,8,8,2,1,2,2,12,4,5,4,7,6,2,6,10,8,4,4,8,8,4,8,6,24,
16,5,10,12,8,8,8,16,4,8,4,2,4,14,6,8,12,8,16,4,8,16,24,16,8,8,24,8,4,24,4,4,4,
4,8,8,8,8,3,2,4,1,6,4,2,2,1,1,1,5,6,2,4,4,4,4,2,1,2,4,2,4,8,4,1,3,2,2,1,4,3,2,
2,4,4,12,2,6,3,1,8,4,2,2,4,4,4,6,1,2,1,6,2,2,4,4,2,4,8,2,4,2,2,4,4,8,6,2,6,8,
2,4,4,2,2,4,4,4,4,4,4,8,1,1,2,1,2,1,2,1,2,2,1,2,1,2,2,4,2,2,2,4,1,2,1,1,2,2,1,
2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,21,50,3,35,4,29,
36,48,64,32,92,12,48,16,15,4,8,10,16,8,9,8,9,22,24,24,12,16,76,12,36,12,12,12,
40,24,96,16,16,24,32,24,10,40,8,18,10,24,16,24,8,12,8,1,1,12,2,3,5,12,3,3,10,
6,4,5,6,3,3,6,20,3,2,10,20,9,3,6,24,6,4,8,4,8,6,24,16,3,10,20,8,24,18,18,6,6,
24,20,8,24,16,24,24,12,24,12,4,4,4,8,8,8,8,3,5,6,4,6,1,3,3,3,6,8,10,3,6,4,8,4,
1,3,5,3,6,2,4,4,12,2,6,3,9,10,10,6,3,3,6,2,4,12,2,4,6,2,2,20,6,6,6,6,6,2,4,4,
4,4,4,4,8,1,1,3,2,3,5,3,1,2,2,4,2,2,2,4,3,1,3,3,6,2,2,6,2,2,2,2,2,2,2,2,2,2,1,
1,1,1,1,1,1,2,2,2,2,1],[1,21,50,35,3,4,64,29,92,48,32,36,12,48,16,15,8,4,16,9,
8,10,8,16,22,24,9,12,24,76,12,36,40,24,96,12,12,12,16,16,32,24,10,18,10,24,8,
16,24,40,24,12,8,8,1,1,12,2,3,5,12,3,3,6,4,10,5,6,3,3,6,20,2,3,10,20,9,4,8,24,
3,6,6,4,8,18,3,6,10,20,8,16,24,18,24,20,6,6,24,8,16,24,24,12,24,12,24,4,4,4,8,
8,8,8,3,5,6,4,6,1,3,3,3,6,4,8,10,3,6,4,8,1,3,5,3,6,2,4,4,12,2,6,3,9,10,10,6,3,
6,3,12,2,4,2,4,6,2,2,20,6,6,6,6,6,2,4,4,4,4,4,4,8,1,1,3,2,3,5,3,1,2,4,2,2,2,2,
4,3,1,3,3,6,2,2,6,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,15,36,8,32,
35,54,54,48,96,24,15,9,108,27,16,2,40,8,24,24,1,27,27,16,12,72,6,24,9,8,2,2,6,
6,8,6,6,1,1],[1,15,36,8,32,35,54,54,48,96,24,15,9,108,27,16,2,40,8,24,24,1,27,
27,16,12,72,6,24,9,8,2,2,6,6,8,6,6,1,1],[1,9,42,32,8,3,3,2,27,18,36,18,36,96,
48,24,6,9,9,18,18,36,36,9,18,16,12,12,8,2,8,8,24,24,1,9,18,18,9,16,12,12,12,
24,24,6,24,9,8,1,1,2,6,6,8,3,3,6,1,1],[1,3,48,20,20,1,4,12,36,36,18,36,72,72,
12,12,3,9,12,18,18,36,36,9,18,16,4,16,5,4,12,1,4,4,12,12,12,12,1,9,18,9,18,16,
12,12,12,24,6,18,3,3,12,12,9,4,4,1,1,1,1,3,3,3,3,4,4,3,3,3,3,1,1],[1,3,48,20,
20,1,4,12,36,36,18,36,72,72,12,12,3,12,9,18,18,36,36,9,18,16,4,1,4,5,16,12,4,
4,12,12,12,12,1,9,18,9,18,16,12,12,6,18,24,12,3,3,12,12,9,4,4,1,1,1,1,3,3,3,3,
4,4,3,3,3,3,1,1],[1,21,6,32,8,21,3,2,9,18,18,16,48,24,3,6,9,18,18,9,16,12,12,
8,2,8,8,1,9,9,16,12,12,6,3,8,1,1,2,1,3,1,1],[1,21,6,32,8,3,21,2,9,18,18,16,48,
24,3,6,9,18,18,9,16,12,12,8,2,8,8,1,9,9,16,12,12,6,3,8,1,1,2,1,3,1,1],[1,15,
12,8,32,35,18,18,16,24,48,15,3,36,9,16,2,40,8,1,9,9,16,12,6,12,3,8,2,2,1,3,1,
1],[1,15,12,8,32,35,18,18,16,24,48,15,3,36,9,16,2,40,8,1,9,9,16,12,6,12,3,8,2,
2,1,3,1,1],[1,21,18,8,32,35,3,9,36,36,12,4,12,48,15,9,9,24,12,36,18,16,2,40,
12,8,12,12,12,1,3,3,18,18,16,1,3,6,6,4,12,3,8,2,2,3,3,3,3,4,4,1,3,1,1],[1,21,
18,8,32,3,35,9,36,36,12,4,12,48,15,9,9,24,12,36,18,16,2,40,8,12,12,12,12,1,3,
3,18,18,16,1,3,6,6,4,12,3,8,2,2,3,3,3,3,4,4,1,3,1,1],[1,15,20,35,30,30,40,16,
15,5,60,20,15,20,16,1,10,15,15,10,16,5,5,5,5,1,1,1],[1,15,20,35,30,30,40,16,
15,5,60,15,20,20,16,1,15,10,15,10,16,5,5,5,5,1,1,1],[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],[1,1,42,
28,7,21,21,28,42,56,28,8,7,7,42,42,21,7,7,28,8,21,8,7,7,14,7,7,8,7,7,1,1],[1,
1,42,28,7,21,28,21,42,56,28,8,7,7,42,42,21,7,7,28,8,21,8,7,7,14,7,7,8,7,7,1,
1],[1,22,21,28,7,7,21,21,21,21,21,28,28,28,8,7,7,21,21,21,21,21,7,7,28,8,21,8,
7,7,7,7,7,7,8,7,7,1,1],[1,1,28,21,28,8,7,7,21,28,8,21,8,7,7,8,7,7,1],[1,45,20,
20,15,15,45,36,60,60,45,10,36,15,15,10,15,15,10,6,6,1],[1,45,20,20,15,15,45,
36,60,60,45,10,36,15,15,10,15,15,10,6,6,1],[1,45,20,20,15,15,45,36,60,60,45,
10,36,15,15,10,15,15,10,6,6,1],[1,45,20,11,5,45,45,6,60,50,45,45,10,6,5,5,5,5,
15,45,6,10,20,18,15,15,15,15,6,5,10,1,6,5,3,1,1],[1,45,42,64,105,7,14,63,126,
168,252,84,64,45,42,42,63,168,48,63,126,168,168,504,84,252,126,112,224,3,14,
168,21,7,63,252,126,21,126,126,126,126,112,21,21,42,42,126,63,28,56,1,21,21,
28,3,1,1],[1,45,42,64,7,105,14,168,63,252,126,84,64,45,42,42,168,48,63,126,
168,63,168,504,84,252,126,112,224,3,14,168,21,7,63,252,126,21,126,126,126,126,
112,21,21,42,42,126,63,28,56,1,21,21,28,3,1,1],[1,21,66,64,7,21,14,168,75,276,
126,48,12,24,48,64,3,42,42,168,48,69,12,24,126,168,63,168,504,24,12,12,24,48,
24,48,48,96,12,12,24,24,48,6,112,224,14,168,3,21,7,63,252,126,3,6,12,6,12,24,
24,48,12,6,12,12,24,24,48,12,24,48,24,6,12,6,12,12,24,48,24,16,32,64,3,6,12,
21,42,24,6,12,6,12,24,12,24,48,3,6,6,12,12,24,28,56,1,3,6,12,3,6,12,4,8,16,3,
1,1],[1,21,66,64,21,7,14,75,126,168,48,276,12,24,48,64,3,42,42,69,168,48,12,
63,126,168,168,24,504,12,24,12,24,48,24,48,48,96,12,6,24,12,24,48,112,224,14,
168,3,21,7,63,252,126,3,6,12,6,12,24,6,12,12,12,24,24,48,24,48,6,12,24,48,24,
6,12,12,12,24,24,48,16,32,64,3,6,12,21,42,6,12,6,12,24,12,24,48,24,3,6,6,12,
12,24,28,56,1,3,6,12,3,6,12,4,8,16,3,1,1],[1,25,54,64,21,13,14,24,69,60,150,
168,252,12,12,64,1,3,6,42,24,42,63,168,48,9,6,8,69,126,168,32,168,48,504,12,
12,12,12,24,24,24,24,48,6,6,6,6,6,6,48,112,224,14,168,21,3,7,63,252,3,12,12,
126,3,12,3,12,12,6,12,6,6,6,12,6,6,12,12,12,48,6,6,6,12,6,6,6,12,12,48,12,12,
48,48,16,32,32,3,3,3,12,12,24,3,12,12,1,21,42,2,6,6,12,2,6,6,6,12,6,6,12,6,12,
3,28,56,1,6,6,6,6,3,3,4,8,8,1,1,1],[1,25,54,64,13,21,14,168,69,252,150,24,60,
12,12,64,3,1,42,42,168,6,9,24,48,63,126,168,69,6,8,168,32,504,48,12,12,12,12,
24,24,24,24,48,6,6,6,6,6,6,48,112,224,14,168,3,21,7,3,12,63,252,126,12,3,12,3,
12,12,6,12,6,6,6,12,6,6,12,12,12,48,6,6,6,12,6,6,6,12,12,48,12,12,48,48,16,32,
32,3,3,3,12,12,24,3,12,12,21,1,42,2,6,6,12,2,6,6,6,12,6,6,12,6,12,3,28,56,1,6,
6,6,6,3,3,4,8,8,1,1,1],[1,33,78,16,21,25,14,72,81,180,198,168,252,36,36,16,48,
48,3,3,18,42,72,42,63,168,48,27,18,24,81,126,168,96,168,144,504,36,36,36,36,
72,72,72,72,144,18,18,18,18,18,18,144,12,8,16,48,48,14,168,21,9,7,63,252,9,36,
36,126,9,36,9,36,36,18,36,18,18,18,36,18,18,36,36,36,144,18,18,18,36,18,18,18,
36,36,144,36,36,144,144,12,12,24,12,24,24,16,9,9,9,36,36,72,9,36,36,3,21,42,6,
18,18,36,6,18,18,18,36,18,18,36,18,36,9,1,8,12,12,24,12,24,1,18,18,18,18,9,9,
1,3,3,12,3,1,3,3,1],[1,33,78,16,25,21,14,168,81,252,198,72,180,36,36,16,48,48,
3,3,42,42,168,18,27,72,48,63,126,168,81,18,24,168,96,504,144,36,36,36,36,72,
72,72,72,144,18,18,18,18,18,18,144,12,8,16,48,48,14,168,9,21,7,9,36,63,252,
126,36,9,36,9,36,36,18,36,18,18,18,36,18,18,36,36,36,144,18,18,18,36,18,18,18,
36,36,144,36,36,144,144,12,12,24,12,24,24,16,9,9,9,36,36,72,9,36,36,21,3,42,6,
18,18,36,6,18,18,18,36,18,18,36,18,36,9,1,8,12,12,12,24,24,1,18,18,18,18,9,9,
1,3,3,12,3,1,3,3,1],[1,21,34,64,35,3,4,48,21,60,48,36,12,24,64,15,4,4,16,9,8,
6,18,24,9,12,24,60,12,36,24,48,12,12,12,24,6,18,6,12,24,24,12,80,16,48,1,1,12,
3,3,12,3,3,6,3,6,3,3,6,12,3,6,12,9,12,3,6,6,18,3,6,12,18,12,12,6,6,24,24,12,
12,16,16,16,32,3,3,6,1,3,3,3,6,4,6,3,6,1,3,3,3,6,2,6,3,9,6,6,6,3,3,6,12,6,6,6,
6,6,4,4,12,1,3,3,3,3,3,3,6,6,4,4,4,8,1,1,1],[1,21,34,64,3,35,4,21,36,48,48,60,
12,24,64,15,4,4,6,16,8,9,9,18,24,24,12,60,12,36,12,12,12,24,48,24,12,6,24,18,
6,24,12,16,80,48,1,1,12,3,3,12,3,3,6,3,6,3,3,6,12,3,6,12,9,3,6,12,6,3,6,12,12,
18,18,6,6,24,12,24,12,12,16,16,16,32,3,3,6,1,3,3,3,6,4,6,3,6,1,3,3,3,6,2,6,3,
9,6,6,6,3,3,6,12,6,6,6,6,6,4,4,12,1,3,3,3,3,3,3,6,6,4,4,4,8,1,1,1],[1,27,48,
16,6,35,18,72,84,12,8,42,24,18,24,16,48,48,15,3,12,18,18,48,12,2,12,24,72,12,
12,12,6,36,24,24,24,9,36,6,12,24,2,12,4,8,16,48,48,1,6,3,6,6,3,6,3,6,9,6,6,12,
6,12,3,9,36,36,6,6,24,24,6,6,12,12,4,12,8,8,12,8,16,8,6,6,3,3,6,6,3,1,3,6,3,3,
6,6,6,6,6,4,12,12,8,8,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,27,48,16,35,6,12,18,42,
84,8,72,24,18,24,16,48,48,15,3,12,18,2,18,12,48,12,24,72,6,36,12,12,12,24,24,
24,36,6,12,9,24,2,12,4,8,16,48,48,1,6,3,6,6,3,6,6,12,9,3,6,6,36,3,12,6,36,9,6,
6,24,24,6,6,12,12,4,12,8,8,12,8,16,8,6,6,6,3,3,6,3,1,3,3,6,3,6,6,6,6,6,4,12,
12,8,8,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,25,30,16,13,13,6,33,12,54,16,12,40,36,
24,16,16,16,1,1,18,3,3,4,27,30,30,30,18,12,12,12,12,24,24,12,24,12,18,6,12,18,
12,48,20,4,4,4,16,16,16,3,1,1,3,3,4,3,12,3,12,12,6,12,6,12,6,6,6,6,12,3,3,9,3,
3,6,12,9,6,6,9,6,6,6,6,12,3,12,3,3,3,6,6,9,3,9,6,6,6,6,8,24,24,24,4,4,4,4,4,4,
4,4,4,8,16,3,3,3,3,6,3,1,3,3,3,3,3,3,3,6,3,3,3,3,3,3,6,6,3,3,3,3,3,3,3,3,3,3,
3,3,6,6,6,6,6,6,6,6,6,6,12,4,4,4,4,4,4,4,4,4,8,3,3,3,3,3,3,3,3,1,3,3,3,3,3,3,
1,4,4,4,3,1,1,1,1],[1,13,66,16,9,3,2,24,39,48,42,24,48,84,40,24,24,64,16,1,6,
6,6,15,24,6,12,6,15,6,8,32,24,24,48,12,36,24,36,36,24,24,24,72,48,12,12,30,6,
12,6,6,24,24,12,8,16,16,16,3,3,1,3,12,3,12,4,3,6,3,6,12,9,6,6,12,6,3,12,12,12,
12,12,6,12,6,24,6,6,12,12,24,6,6,12,6,12,6,18,12,24,12,24,16,16,16,4,8,8,16,3,
6,3,6,1,6,6,6,6,6,6,6,6,12,3,6,6,3,6,6,6,6,12,6,12,1,4,8,4,8,4,1,3,3,3,3,3,3,
2,2,1,4,3,1,1,1,1],[1,13,66,16,3,9,2,24,39,84,42,24,48,48,40,24,24,64,16,1,6,
6,24,6,6,15,12,24,6,8,15,6,32,48,24,36,12,24,24,36,36,24,24,48,72,12,6,6,6,12,
24,30,12,24,12,8,16,16,16,3,3,1,3,3,12,12,4,3,6,3,6,12,9,6,6,12,12,6,12,3,12,
12,12,6,12,6,6,12,12,24,24,6,6,6,12,6,12,24,18,6,12,12,24,16,16,16,4,8,8,16,3,
6,3,6,1,6,6,6,6,6,6,6,6,12,3,6,6,3,6,6,6,6,6,12,12,1,4,4,8,8,4,1,3,3,3,3,3,3,
2,2,1,4,3,1,1,1,1],[1,29,42,16,7,49,14,168,63,252,126,28,80,17,42,42,168,48,
63,126,168,63,168,504,28,84,42,12,8,16,16,16,1,14,168,21,7,63,252,126,7,42,42,
42,42,20,24,24,16,7,21,42,14,42,21,1,4,8,12,4,1,7,7,3,2,4,1,1,1,1,1],[1,29,42,
16,49,7,14,63,126,168,252,28,80,17,42,42,63,168,48,63,126,168,168,504,28,84,
42,12,8,16,16,16,1,14,168,21,7,63,252,126,7,42,42,42,42,20,24,24,16,7,21,42,
14,42,21,1,4,8,12,4,1,7,7,3,2,4,1,1,1,1,1],[1,19,24,16,6,7,6,36,12,8,42,16,42,
24,16,16,16,1,3,12,6,12,2,12,12,12,6,12,24,24,21,12,12,12,6,12,24,2,12,12,4,8,
16,16,16,3,1,6,6,3,6,6,18,3,6,6,6,3,12,9,6,12,6,12,3,6,6,6,12,12,4,4,8,8,4,8,
8,16,3,6,6,1,6,3,6,3,6,3,6,3,6,3,6,6,6,4,8,4,4,8,3,1,3,3,3,3,3,1,4,3,1,1,1,
1],[1,19,24,16,7,6,12,6,42,36,8,16,42,24,16,16,16,1,3,12,2,6,12,12,12,12,6,12,
24,24,12,12,12,6,12,21,24,12,2,12,4,8,16,16,16,3,1,6,6,3,6,6,18,3,6,6,6,6,12,
9,3,12,12,6,6,3,6,6,12,12,4,4,8,8,4,8,8,16,6,3,6,1,6,3,6,3,6,3,3,6,6,3,6,6,6,
4,8,4,4,8,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,17,30,16,1,35,15,12,12,24,32,48,4,
36,80,15,6,6,3,8,3,6,8,16,24,4,12,24,24,72,18,6,24,6,6,24,8,4,8,16,16,16,1,2,
1,3,1,6,6,3,12,2,6,12,18,6,24,6,12,18,6,6,12,24,24,24,12,8,16,8,8,16,1,3,6,6,
6,3,4,12,6,6,6,12,12,4,4,8,4,8,1,3,3,4,4,1,4,1,1,1,1,1],[1,17,30,16,35,1,24,
15,48,12,32,12,4,36,80,15,6,3,6,8,16,6,3,8,24,4,12,24,24,72,6,6,6,24,18,24,8,
4,8,16,16,16,1,2,1,3,1,6,6,3,12,2,6,12,18,6,6,6,12,24,6,18,12,24,24,24,12,8,
16,8,8,16,1,3,6,6,6,3,4,12,6,6,6,12,12,4,8,4,4,8,1,3,3,4,4,1,4,1,1,1,1,1],[1,
25,30,16,21,9,2,24,21,60,66,36,40,36,24,16,16,16,1,3,6,6,24,9,9,6,8,21,32,24,
48,24,12,24,12,24,12,12,24,6,12,12,24,12,24,30,6,72,12,8,16,16,16,3,3,1,3,12,
12,4,6,6,3,6,12,12,12,3,6,6,6,12,24,12,9,6,12,6,12,6,24,6,6,12,6,12,6,6,6,24,
24,12,4,8,4,8,8,16,3,6,1,3,3,3,3,6,6,3,3,6,6,3,6,12,6,6,6,12,12,1,4,8,4,4,8,1,
3,3,3,3,3,3,1,1,1,4,3,1,1,1,1],[1,25,30,16,9,21,2,21,36,66,24,60,40,36,24,16,
16,16,3,1,6,6,9,24,9,21,6,8,24,32,48,24,24,12,12,12,12,24,24,6,6,30,12,12,12,
24,24,72,12,8,16,16,16,3,3,1,3,12,12,4,6,6,3,12,6,12,12,6,3,6,6,9,6,12,6,12,
12,12,6,24,24,6,6,6,12,12,6,6,6,24,24,12,4,8,4,8,8,16,3,6,1,3,3,3,3,6,6,3,3,6,
3,6,6,12,6,6,6,12,12,1,4,8,4,4,8,1,3,3,3,3,3,3,1,1,1,4,3,1,1,1,1],[1,7,60,16,
7,12,12,24,36,8,54,16,30,24,64,16,1,9,6,36,2,24,12,24,6,36,24,48,24,15,24,12,
6,12,2,12,4,8,16,16,16,3,1,6,3,6,12,12,9,6,3,6,6,12,6,3,6,9,6,12,12,6,6,12,12,
8,8,8,8,4,8,8,16,3,6,6,3,1,6,3,6,3,3,6,3,6,6,6,6,6,4,8,4,4,8,3,3,1,3,3,3,3,1,
4,3,1,1,1,1],[1,7,60,16,7,12,36,12,54,8,24,16,30,24,64,16,1,9,6,2,36,24,24,6,
36,12,24,24,48,12,6,12,15,24,2,12,4,8,16,16,16,3,1,6,3,6,12,12,9,6,3,6,6,12,6,
3,6,6,9,12,12,6,6,12,12,8,8,8,8,4,8,8,16,3,6,6,3,1,6,3,6,3,3,6,3,6,6,6,6,6,4,
8,4,4,8,3,3,1,3,3,3,3,1,4,3,1,1,1,1],[1,33,54,16,37,21,2,33,36,114,24,48,132,
48,12,24,16,48,48,3,15,6,6,27,24,9,12,33,6,8,24,80,24,48,48,48,108,36,12,12,
24,24,24,24,48,18,36,6,54,12,24,24,24,24,12,8,16,48,48,1,3,9,3,1,3,12,12,9,9,
6,9,6,6,3,6,6,12,9,6,12,6,6,6,12,54,24,12,18,6,18,36,36,24,54,36,6,6,24,12,24,
24,72,72,12,12,8,16,12,8,8,16,9,9,9,6,6,1,3,2,6,3,3,3,6,6,6,12,6,3,6,3,3,6,12,
36,18,6,6,6,6,6,6,1,4,12,12,8,8,3,1,3,3,3,3,3,6,6,6,6,1,1,2,1,4,2,3,1,1,1,2,2,
1],[1,33,54,16,21,37,2,24,33,132,114,48,36,48,12,24,16,48,48,15,3,6,6,24,9,27,
12,24,6,8,33,80,24,48,48,108,48,36,24,12,12,24,24,48,24,18,36,24,12,24,54,6,
24,24,12,8,16,48,48,1,3,3,9,1,3,12,12,9,9,6,9,6,6,3,6,6,12,6,9,6,12,6,6,12,12,
24,18,18,36,36,54,54,24,6,6,6,24,36,12,24,24,72,72,12,12,8,16,12,8,8,16,9,9,9,
6,6,1,2,3,3,3,3,6,6,6,12,6,6,3,6,3,3,6,12,36,18,6,6,6,6,6,6,1,4,12,12,8,8,3,1,
3,3,3,3,3,6,6,6,6,1,1,2,1,4,2,3,1,1,1,2,2,1],[1,9,54,16,1,7,27,36,12,24,32,48,
12,36,32,48,1,6,6,9,8,3,6,8,16,24,24,12,36,12,48,24,24,24,18,6,24,6,6,24,8,12,
24,4,8,16,16,16,2,1,3,6,6,3,3,3,6,3,2,6,6,6,6,6,6,24,9,12,12,6,6,6,6,12,24,24,
12,24,12,12,12,12,24,24,24,24,8,4,8,16,8,8,16,3,6,6,6,3,3,4,12,3,3,3,3,6,6,6,
6,6,6,12,12,12,12,12,12,24,4,8,4,4,8,8,8,1,3,3,6,6,6,6,6,6,1,4,8,3,1,1,1,1],[
1,9,54,16,7,1,24,27,48,12,32,36,12,36,32,48,1,6,9,6,8,16,6,3,8,24,24,48,24,24,
12,36,12,24,6,6,6,24,18,24,12,8,24,4,8,16,16,16,2,1,3,6,6,3,3,3,6,2,3,6,6,6,6,
6,6,9,6,12,12,24,6,12,6,6,24,12,24,12,24,12,12,12,24,24,24,24,8,4,8,16,8,8,16,
3,6,6,6,3,3,4,12,3,3,3,6,3,6,6,6,6,6,12,12,12,12,12,12,24,8,4,4,4,8,8,8,1,3,3,
6,6,6,6,6,6,1,4,8,3,1,1,1,1],[1,21,66,16,7,7,12,144,45,180,72,32,12,12,24,48,
16,48,48,1,12,12,48,3,24,18,8,16,54,72,9,36,8,180,12,12,24,24,48,12,12,48,48,
96,24,6,6,6,24,24,48,12,24,8,4,8,16,48,48,3,36,2,1,9,36,9,6,12,3,6,2,6,12,9,
12,24,3,6,12,24,6,6,12,24,48,24,6,12,12,6,6,24,24,48,24,24,24,24,4,4,8,16,8,8,
4,8,16,8,16,8,3,6,12,6,3,3,3,3,6,12,6,3,12,24,3,6,6,12,4,12,6,6,12,6,12,8,4,4,
8,8,16,4,8,16,8,8,1,3,6,3,6,6,6,6,6,1,4,8,3,1,1,1,1],[1,33,54,16,41,13,6,45,
12,126,72,16,180,48,12,24,16,48,48,1,15,18,18,27,72,3,4,45,18,24,8,96,8,144,
48,24,108,12,12,12,24,24,24,24,48,6,12,6,54,12,12,24,24,8,4,4,4,16,48,48,1,1,
9,1,3,9,36,36,9,3,6,3,6,2,3,6,6,12,9,6,12,18,18,6,12,54,24,12,6,6,6,12,12,12,
54,12,6,6,24,12,24,24,24,24,4,4,12,4,4,4,8,8,12,4,4,8,8,16,8,9,3,3,6,6,3,3,6,
18,3,3,3,6,6,6,12,6,3,6,9,3,6,4,12,6,6,6,6,6,6,6,4,4,4,12,12,4,8,4,4,8,4,8,8,
8,1,3,3,3,3,3,3,6,6,6,6,1,4,4,4,3,1,1,1,1],[1,21,66,16,7,7,12,45,12,72,144,32,
180,12,24,48,16,48,48,1,12,12,18,48,24,3,8,9,54,72,8,36,16,180,12,12,12,12,24,
24,48,48,48,24,96,12,6,24,6,6,24,48,24,8,4,8,16,48,48,3,36,2,1,9,36,9,6,12,3,
6,2,6,12,9,3,6,12,24,12,24,6,24,48,6,12,24,12,6,6,6,24,12,24,24,48,24,24,24,4,
4,8,8,8,16,4,8,16,8,16,8,3,6,12,6,3,3,3,3,6,6,3,12,24,12,3,6,6,12,4,12,6,6,12,
6,12,4,8,8,16,4,4,8,8,16,8,8,1,3,6,3,6,6,6,6,6,1,4,8,3,1,1,1,1],[1,33,54,16,
13,41,6,72,45,180,126,16,12,48,12,24,16,48,48,15,1,18,18,72,3,27,4,8,18,24,45,
96,8,144,48,108,24,12,24,12,12,24,24,48,24,6,12,12,12,24,54,6,24,8,4,4,4,16,
48,48,1,1,1,9,3,9,36,36,9,3,6,3,6,2,3,6,6,12,18,9,6,12,18,6,12,12,24,6,6,12,
12,54,54,12,6,6,6,24,12,12,24,24,24,24,4,4,4,12,4,8,4,8,4,12,4,8,8,16,8,9,3,3,
6,6,3,6,3,3,3,3,6,6,6,12,18,6,3,6,9,3,6,4,12,6,6,6,6,6,6,6,4,4,4,4,8,4,8,4,12,
12,4,8,8,8,1,3,3,3,3,3,3,6,6,6,6,1,4,4,4,3,1,1,1,1],[1,15,36,64,35,4,12,54,24,
54,24,64,15,9,6,12,18,108,24,24,18,12,27,12,6,12,80,16,48,1,1,3,3,9,6,27,12,
18,27,12,18,6,12,12,16,16,48,3,9,6,3,9,9,3,6,3,6,6,4,4,12,1,3,3,3,3,3,3,4,4,4,
3,1,1],[1,15,36,64,35,4,12,24,54,54,24,64,15,9,12,6,18,108,24,24,27,18,12,6,
12,12,16,80,48,1,1,3,3,9,27,6,12,18,27,12,18,6,12,12,16,48,16,3,9,6,3,9,3,9,6,
3,6,6,4,4,12,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,13,66,16,7,7,24,33,60,12,24,16,60,
40,24,24,64,16,1,1,6,6,9,9,4,6,3,6,24,24,6,42,42,18,24,24,24,24,48,96,48,12,
24,6,18,12,18,6,20,4,4,4,16,16,16,3,3,1,1,3,3,4,3,6,6,6,6,6,6,3,3,9,3,3,6,6,6,
3,6,6,3,6,6,6,6,12,12,9,6,6,12,3,3,6,3,6,6,3,9,3,6,6,18,18,6,12,12,8,24,24,24,
8,8,8,8,8,8,4,4,4,8,16,3,3,3,3,3,3,3,6,3,6,3,6,6,6,1,3,3,3,6,6,6,3,3,3,3,3,3,
6,6,3,3,3,3,3,3,3,3,3,3,3,3,6,6,6,6,12,4,4,4,4,4,4,4,4,4,8,3,3,3,3,3,3,3,3,1,
3,3,3,3,3,3,1,4,4,4,3,1,1,1,1],[1,15,36,16,35,12,36,54,8,54,24,32,48,15,9,2,
36,6,108,24,24,6,12,27,36,2,12,4,8,16,16,16,1,3,9,9,27,6,27,12,6,27,12,6,6,12,
12,8,8,8,12,8,8,16,9,9,6,1,27,3,3,6,3,6,6,4,4,8,4,8,3,1,3,3,3,3,3,1,4,3,1,1,1,
1],[1,15,36,16,35,12,36,8,54,54,24,32,48,15,9,36,2,6,108,24,24,27,6,12,2,36,
12,4,8,16,16,16,1,3,9,9,27,27,6,12,6,27,12,6,6,12,12,8,8,8,12,8,8,16,9,9,6,1,
27,3,3,6,3,6,6,4,8,4,4,8,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,21,42,16,37,3,2,24,
27,48,42,24,60,24,48,24,32,48,15,6,6,6,9,24,6,6,15,6,8,32,24,48,12,48,12,36,
84,24,24,12,18,6,12,6,18,24,24,24,12,8,16,16,16,1,3,1,3,12,3,12,3,6,6,3,6,12,
6,9,12,6,6,6,3,12,18,6,6,6,24,24,18,6,6,12,24,6,18,18,6,18,24,8,16,12,8,8,16,
3,3,6,1,6,6,2,6,6,6,6,6,3,3,3,3,6,12,6,6,6,12,6,12,1,4,4,8,4,8,3,1,3,3,3,3,3,
2,1,2,4,3,1,1,1,1],[1,21,42,16,3,37,2,24,27,60,42,24,48,24,48,24,32,48,15,6,6,
24,6,6,9,6,8,15,6,32,48,24,12,48,12,24,36,84,24,18,6,6,24,12,24,18,12,24,12,8,
16,16,16,1,3,1,3,3,12,12,3,6,6,3,6,12,9,6,6,12,6,6,6,24,3,12,18,6,6,24,6,6,12,
24,18,6,18,18,24,18,6,8,16,12,8,8,16,3,3,6,1,6,6,2,6,6,6,6,6,3,3,3,3,6,12,6,6,
6,6,12,12,1,4,4,8,4,8,3,1,3,3,3,3,3,2,1,2,4,3,1,1,1,1],[1,21,42,16,7,35,21,36,
36,24,16,60,24,48,24,32,48,15,1,6,9,9,4,8,9,6,24,8,24,12,36,36,12,24,24,72,48,
6,12,18,12,6,24,12,24,18,12,24,8,4,4,4,16,16,16,1,1,1,3,3,3,3,6,6,3,3,6,6,6,
12,12,2,3,6,12,6,6,6,3,6,18,12,12,6,12,6,6,6,12,6,18,6,12,12,18,18,6,12,12,12,
24,24,8,8,8,4,12,4,8,8,8,16,3,3,3,3,6,3,6,3,6,6,6,3,3,3,4,12,6,6,3,3,6,6,6,6,
6,6,6,6,6,6,6,12,6,12,4,4,4,4,4,4,4,4,4,8,1,3,3,3,3,3,3,6,6,6,6,1,4,4,4,3,1,1,
1,1],[1,21,42,16,35,7,24,21,60,36,16,36,24,48,24,32,48,1,15,6,9,9,4,6,9,8,24,
8,24,12,36,36,12,24,24,72,48,6,12,12,18,6,12,12,18,24,24,24,8,4,4,4,16,16,16,
1,1,3,1,3,3,3,6,6,3,3,6,6,12,6,12,2,6,3,12,6,3,6,18,6,6,12,6,12,12,18,6,6,12,
6,6,12,12,6,6,18,18,12,12,12,24,24,8,8,8,12,4,4,8,8,8,16,3,3,3,3,6,6,3,6,3,6,
6,3,3,3,4,12,3,3,6,6,6,6,6,6,6,6,6,6,6,6,12,6,6,12,4,4,4,4,4,4,4,4,4,8,1,3,3,
3,3,3,3,6,6,6,6,1,4,4,4,3,1,1,1,1],[1,29,42,16,35,35,21,84,84,112,84,28,80,15,
15,21,21,28,56,21,56,56,56,28,84,84,84,42,84,42,42,56,4,4,4,16,16,16,1,1,7,7,
7,7,7,7,21,21,28,21,14,14,42,42,42,42,42,84,84,42,42,42,84,84,56,168,168,168,
12,12,4,8,8,8,8,8,16,7,7,21,21,21,28,28,84,84,84,42,42,42,84,56,4,4,4,4,4,4,4,
4,4,8,8,8,7,7,21,28,1,4,4,4,8,1,1,1,1,1],[1,21,66,16,21,7,14,75,126,168,48,
276,12,24,48,32,48,3,42,42,69,168,48,12,63,126,168,168,24,504,12,24,12,24,48,
24,48,48,96,12,6,24,12,24,48,12,8,16,16,16,14,168,3,21,7,63,252,126,3,6,12,6,
12,24,6,12,12,12,24,24,48,24,48,6,12,24,48,24,6,12,12,12,24,24,48,8,16,12,24,
24,16,3,6,12,21,42,6,12,6,12,24,12,24,48,24,3,6,6,12,12,24,1,8,12,4,8,4,8,1,3,
6,12,3,6,12,2,3,4,8,3,1,1,1,1],[1,21,66,16,7,21,14,168,75,276,126,48,12,24,48,
32,48,3,42,42,168,48,69,12,24,126,168,63,168,504,24,12,12,24,48,24,48,48,96,
12,12,24,24,48,6,12,8,16,16,16,14,168,3,21,7,63,252,126,3,6,12,6,12,24,24,48,
12,6,12,12,24,24,48,12,24,48,24,6,12,6,12,12,24,48,24,8,16,12,24,24,16,3,6,12,
21,42,24,6,12,6,12,24,12,24,48,3,6,6,12,12,24,1,8,12,4,8,4,8,1,3,6,12,3,6,12,
2,3,4,8,3,1,1,1,1],[1,21,66,16,21,7,14,75,126,168,48,276,12,24,48,32,48,3,42,
42,69,168,48,12,63,126,168,168,24,504,12,24,12,24,48,24,48,48,96,12,6,24,12,
24,48,4,4,12,16,16,16,14,168,3,21,7,63,252,126,3,6,12,6,12,24,6,12,12,12,24,
24,48,24,48,6,12,24,48,24,6,12,12,12,24,24,48,8,8,8,12,12,12,24,16,3,6,12,21,
42,6,12,6,12,24,12,24,48,24,3,6,6,12,12,24,1,4,4,12,4,4,4,4,4,4,1,3,6,12,3,6,
12,2,3,4,4,4,3,1,1,1,1],[1,21,66,16,7,21,14,168,75,276,126,48,12,24,48,32,48,
3,42,42,168,48,69,12,24,126,168,63,168,504,24,12,12,24,48,24,48,48,96,12,12,
24,24,48,6,4,4,12,16,16,16,14,168,3,21,7,63,252,126,3,6,12,6,12,24,24,48,12,6,
12,12,24,24,48,12,24,48,24,6,12,6,12,12,24,48,24,8,8,8,12,12,12,24,16,3,6,12,
21,42,24,6,12,6,12,24,12,24,48,3,6,6,12,12,24,1,4,4,12,4,4,4,4,4,4,1,3,6,12,3,
6,12,2,3,4,4,4,3,1,1,1,1],[1,17,6,16,35,1,3,12,12,16,12,24,80,15,3,3,8,4,12,6,
6,12,6,24,24,8,8,4,16,16,16,1,1,1,6,6,6,6,2,2,3,6,3,6,6,6,6,12,8,8,8,16,1,3,3,
6,6,6,6,4,4,4,8,8,1,3,3,4,1,1,1],[1,17,6,16,1,35,3,12,12,16,12,24,80,15,3,3,8,
4,12,6,12,24,6,6,24,8,8,4,16,16,16,1,1,1,6,6,6,6,2,2,3,6,3,6,6,6,6,12,8,8,8,
16,1,3,3,6,6,6,6,4,4,4,8,8,1,3,3,4,1,1,1],[1,3,48,16,1,4,6,12,36,24,30,12,18,
48,32,48,3,3,6,12,6,12,24,18,12,24,24,24,12,3,6,12,6,18,12,6,12,4,16,16,16,1,
3,1,6,12,6,3,3,12,6,6,12,6,3,3,6,6,12,12,12,6,6,12,12,8,12,16,3,6,1,3,2,3,6,6,
3,3,6,3,6,6,6,4,1,4,4,1,3,3,3,3,3,3,1,4,2,2,3,1,1,1,1],[1,3,48,16,1,4,36,6,30,
24,12,12,18,48,32,48,3,3,6,6,12,24,18,12,12,24,24,24,12,6,6,18,12,12,3,6,12,4,
16,16,16,1,3,1,6,12,6,6,3,3,6,12,12,3,3,6,6,6,12,12,6,12,6,12,12,8,12,16,3,6,
1,3,2,3,6,6,3,6,3,3,6,6,6,4,1,4,4,1,3,3,3,3,3,3,1,4,2,2,3,1,1,1,1],[1,15,36,
16,35,4,12,54,24,54,24,32,48,15,9,6,12,18,108,24,24,18,12,27,12,6,12,4,16,16,
16,16,1,1,3,3,9,6,27,12,18,27,12,18,6,12,12,8,16,12,16,3,9,6,3,9,9,3,6,3,6,6,
1,4,4,4,1,3,3,3,3,3,3,2,3,4,3,1,1,1,1],[1,15,36,16,35,4,12,24,54,54,24,32,48,
15,9,12,6,18,108,24,24,27,18,12,6,12,12,20,16,16,16,1,1,3,3,9,27,6,12,18,27,
12,18,6,12,12,24,12,16,3,9,6,3,9,3,9,6,3,6,6,1,4,4,4,1,3,3,3,3,3,3,2,3,4,3,1,
1,1,1],[1,15,36,16,35,4,12,54,24,54,24,32,48,15,9,6,12,18,108,24,24,18,12,27,
12,6,12,20,16,16,16,1,1,3,3,9,6,27,12,18,27,12,18,6,12,12,24,12,16,3,9,6,3,9,
9,3,6,3,6,6,1,4,4,4,1,3,3,3,3,3,3,2,3,4,3,1,1,1,1],[1,15,36,16,35,4,12,24,54,
54,24,32,48,15,9,12,6,18,108,24,24,27,18,12,6,12,12,4,16,16,16,16,1,1,3,3,9,
27,6,12,18,27,12,18,6,12,12,8,16,12,16,3,9,6,3,9,3,9,6,3,6,6,1,4,4,4,1,3,3,3,
3,3,3,2,3,4,3,1,1,1,1],[1,3,48,16,1,4,6,12,36,40,30,12,18,48,32,48,3,3,4,8,6,
12,6,24,18,12,24,24,72,3,6,12,6,18,12,6,4,8,12,4,4,16,16,16,1,1,3,2,1,6,3,3,6,
6,6,12,12,6,3,6,6,12,12,12,12,6,6,12,12,8,8,4,8,12,4,8,16,3,3,6,6,3,3,6,6,3,3,
6,3,6,6,4,4,4,4,4,4,4,4,8,4,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,15,36,16,35,4,12,24,
54,54,24,32,48,15,9,12,6,18,108,24,24,27,18,12,6,12,12,4,4,16,16,16,1,1,3,3,9,
27,6,12,18,27,12,18,6,12,12,8,8,12,12,12,16,3,9,6,3,9,3,9,6,3,6,6,4,4,4,4,4,4,
4,12,4,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,15,36,16,35,4,12,54,24,54,24,32,48,15,9,
6,12,18,108,24,24,18,12,27,12,6,12,4,4,16,16,16,1,1,3,3,9,6,27,12,18,27,12,18,
6,12,12,8,8,12,12,12,16,3,9,6,3,9,9,3,6,3,6,6,4,4,4,4,4,4,4,12,4,1,3,3,3,3,3,
3,4,4,4,3,1,1],[1,3,48,16,1,4,36,6,30,40,12,12,18,48,32,48,3,3,4,6,6,12,8,24,
18,12,24,72,24,6,6,18,12,12,3,4,6,8,12,4,4,16,16,16,1,1,3,2,1,6,6,3,3,6,6,12,
12,3,6,6,6,12,12,12,6,12,6,12,12,8,8,4,8,12,4,8,16,3,3,6,6,3,3,6,6,3,6,3,3,6,
6,4,4,4,4,4,4,4,4,8,4,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,9,30,16,3,3,2,21,18,24,24,
12,24,32,48,6,6,9,12,12,12,24,24,18,18,6,6,6,12,6,6,48,12,24,4,16,16,16,1,6,3,
12,3,12,12,6,6,12,3,6,12,12,12,3,6,12,12,12,12,12,8,12,16,6,3,6,3,3,4,6,6,12,
6,12,4,4,4,1,3,3,6,6,1,4,3,1,1,1,1],[1,21,42,21,7,14,63,126,168,252,64,3,42,
42,63,168,48,63,126,168,168,504,14,168,21,7,63,252,126,21,42,24,48,1,1],[1,21,
42,7,21,14,168,63,252,126,64,3,42,42,168,48,63,126,168,63,168,504,14,168,21,7,
63,252,126,21,42,24,48,1,1],[1,15,20,16,35,30,30,16,80,15,5,60,15,16,20,16,1,
15,15,20,16,5,1,1,5,1,1,1],[1,15,20,16,35,30,30,16,80,15,5,60,15,16,20,16,1,
15,15,20,16,5,1,1,5,1,1,1],[1,21,29,56,7,7,21,28,21,8,21,28,7,7,14,14,7,7,21,
28,8,16,8,7,7,21,7,7,8,7,7,1,1],[1,41,102,25,53,26,216,129,372,282,168,48,252,
76,60,48,17,3,54,78,216,42,63,168,48,48,81,12,24,138,184,129,126,168,232,168,
600,504,76,180,60,60,120,72,120,120,120,48,48,96,240,30,36,30,30,30,72,24,48,
90,30,240,24,24,1,14,168,14,168,3,21,27,13,63,252,69,276,150,126,13,9,18,12,
15,60,15,60,60,6,18,36,36,6,6,18,30,36,60,12,24,30,66,18,24,48,30,60,18,18,36,
18,54,36,12,24,24,48,18,30,30,60,60,60,24,48,72,240,30,30,30,60,36,90,78,30,
30,60,60,240,60,60,240,36,24,48,72,240,72,72,72,72,13,15,15,15,60,60,120,9,15,
18,12,60,60,23,21,42,42,10,30,30,60,6,18,18,36,24,22,6,6,30,30,18,18,18,30,36,
60,12,18,18,12,24,30,54,18,36,24,48,6,18,9,18,6,12,27,30,18,36,60,18,36,30,60,
12,24,15,12,12,36,36,12,36,18,18,36,18,18,18,18,36,36,18,18,18,18,24,12,12,12,
12,12,12,12,24,12,24,24,24,36,36,36,36,36,36,36,36,36,36,36,36,1,1,2,6,7,3,6,
12,3,3,9,9,6,18,30,18,18,18,30,30,30,12,6,6,18,6,9,15,9,9,18,18,6,6,12,6,6,6,
6,9,9,15,12,12,12,12,12,12,12,12,6,6,12,18,18,36,18,18,18,18,36,18,18,36,36,
36,36,36,36,1,3,3,5,6,18,3,3,3,3,6,9,9,9,6,6,6,6,12,18,6,6,1,1,1,3,3,3,3,1],[
1,41,102,53,25,26,168,129,252,282,216,48,372,76,60,48,3,17,42,78,168,54,81,
216,48,48,63,12,126,168,129,138,184,168,232,24,504,600,76,60,180,60,120,120,
120,72,120,48,48,240,96,30,36,30,90,30,24,30,30,72,48,240,24,24,1,14,168,14,
168,3,27,21,13,69,276,63,252,126,150,13,9,18,12,15,60,15,60,60,6,18,36,36,6,6,
30,18,60,36,12,24,18,18,30,18,36,18,54,66,30,60,36,12,24,24,48,24,48,78,18,72,
48,30,30,60,60,60,24,240,30,30,30,60,36,30,90,30,36,60,60,240,60,60,240,24,72,
48,240,72,72,72,72,13,15,15,15,60,60,120,9,15,18,12,60,60,21,23,42,42,6,18,18,
36,10,30,30,60,6,22,6,54,18,18,30,30,30,18,60,36,12,18,18,12,24,18,30,36,24,
48,24,6,18,9,18,6,12,27,18,30,60,36,30,60,18,36,12,24,15,12,12,36,36,12,36,18,
18,36,18,18,18,18,36,36,18,18,18,18,24,12,12,12,12,24,24,12,12,12,12,24,24,36,
36,36,36,36,36,36,36,36,36,36,36,1,1,2,6,7,3,6,12,3,3,9,9,6,30,18,30,30,30,18,
18,18,12,6,6,18,6,15,9,9,9,18,18,6,6,6,6,6,6,12,9,9,15,12,12,12,12,12,12,12,
12,6,6,12,18,18,36,18,18,18,18,36,18,18,36,36,36,36,36,36,1,3,5,3,6,18,3,3,3,
3,6,9,9,9,6,6,6,6,12,18,6,6,1,1,1,3,3,3,3,1],[1,41,102,49,41,14,72,93,228,246,
168,144,324,76,60,48,15,17,18,42,72,42,81,168,48,39,36,72,18,24,93,126,168,
128,216,56,144,504,76,156,180,108,72,72,120,96,48,96,48,48,96,192,96,54,108,
18,90,18,72,24,48,78,30,24,48,192,24,72,1,1,14,168,9,7,27,13,7,63,252,9,36,36,
126,13,13,21,27,28,18,12,6,12,9,36,27,48,36,6,12,24,18,36,12,36,12,12,24,14,
18,6,42,6,18,12,36,12,24,18,18,18,36,18,42,42,12,24,18,18,24,36,12,24,12,24,
24,48,24,24,48,78,12,24,48,18,18,18,36,36,36,24,48,72,144,42,54,18,54,108,108,
78,78,90,30,84,36,36,144,48,48,192,108,24,48,72,24,24,48,192,56,216,216,72,
168,72,13,13,9,9,9,36,36,72,21,27,27,28,6,12,18,12,36,48,3,21,42,6,18,18,36,6,
14,6,6,42,18,18,6,6,6,18,12,36,12,6,6,12,24,18,18,12,24,18,18,12,12,12,36,24,
24,48,24,6,18,12,12,9,18,6,12,9,3,6,6,12,21,18,6,12,36,18,36,12,24,9,12,36,84,
36,108,84,12,36,18,18,36,12,12,18,18,18,18,36,6,6,6,6,12,12,12,12,36,18,6,18,
6,42,18,54,42,84,56,12,12,12,12,24,12,12,12,12,12,12,12,12,12,12,36,36,12,12,
12,12,12,36,36,36,36,36,36,24,24,12,24,24,24,36,36,36,36,12,12,24,24,24,1,2,6,
7,3,6,12,3,7,9,21,7,3,3,6,9,6,6,18,18,18,18,12,6,6,18,9,9,9,18,3,3,6,18,6,6,3,
3,6,6,6,6,6,6,6,6,6,6,6,6,6,9,3,3,9,9,4,12,12,12,12,12,12,12,12,12,12,12,12,
12,4,12,12,12,12,12,28,6,6,6,6,18,18,36,18,6,18,6,18,12,18,12,36,24,18,18,6,6,
36,36,36,36,12,12,24,36,36,12,12,12,1,3,1,3,1,3,6,6,6,6,6,18,2,6,3,3,3,3,3,6,
6,6,3,3,3,3,6,3,3,9,9,6,6,6,6,6,6,6,18,6,6,6,6,12,12,1,3,3,3,3,3,3,6,6,1],[1,
41,102,41,49,14,168,93,324,246,72,144,228,76,60,48,17,15,42,42,168,18,39,72,
48,81,36,56,126,168,93,18,24,216,128,72,504,144,76,180,156,108,96,48,96,72,72,
120,48,48,96,192,96,54,108,30,78,18,24,24,48,90,18,72,48,192,24,72,1,1,14,168,
7,9,13,27,7,9,36,63,252,126,36,13,13,27,21,28,6,12,18,12,9,36,27,36,48,6,18,
36,12,24,36,12,12,12,24,18,14,6,42,18,6,36,12,12,24,42,18,24,48,12,24,18,18,
18,18,36,18,42,36,24,12,24,12,24,24,48,24,78,18,72,48,12,18,18,36,36,36,24,48,
24,144,42,54,30,54,108,108,90,78,78,18,108,48,48,192,36,36,144,84,24,48,24,24,
72,48,192,56,168,72,216,216,72,13,13,9,9,9,36,36,72,27,21,27,28,18,12,6,12,48,
36,21,3,42,6,18,18,36,24,14,6,6,6,18,6,6,18,18,18,6,36,12,12,18,18,12,24,6,6,
12,24,12,42,18,12,12,24,36,24,48,6,12,18,12,3,6,6,12,21,9,18,6,12,9,6,18,36,
12,18,36,12,24,9,12,36,36,108,84,84,12,36,18,18,12,36,12,6,6,6,6,12,18,18,18,
18,36,12,12,12,36,18,18,6,6,54,18,42,42,84,56,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,24,36,12,36,12,36,36,36,12,12,12,24,24,36,36,36,12,24,24,24,12,12,
36,24,36,36,36,24,24,1,2,6,7,3,6,12,9,7,3,21,3,7,9,6,3,6,18,6,18,18,18,12,6,6,
18,9,3,3,6,9,9,18,18,6,6,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,9,3,3,9,9,4,12,12,12,
12,12,12,12,12,12,12,12,12,12,4,12,12,12,12,12,28,6,6,6,6,18,18,36,6,18,18,6,
18,18,12,36,12,24,6,18,18,6,12,12,36,36,36,36,24,36,36,12,12,12,1,3,1,3,1,3,6,
6,6,6,6,18,2,6,3,3,3,3,3,6,6,6,3,3,3,3,6,3,9,9,3,6,6,6,6,6,6,6,18,6,6,6,6,12,
12,1,3,3,3,3,3,3,6,6,1],[1,33,62,49,13,14,24,73,60,166,168,16,276,60,36,80,1,
17,6,42,24,42,69,168,48,9,4,6,8,73,126,168,32,184,8,48,504,44,20,116,20,24,40,
32,16,32,16,16,64,32,10,12,14,58,6,16,40,64,34,10,8,48,96,8,16,1,14,168,1,23,
3,7,63,252,3,12,12,126,9,4,3,4,16,2,12,3,12,5,16,20,4,8,8,8,4,8,8,2,2,10,4,12,
20,8,6,18,24,16,6,20,6,42,42,4,8,4,12,8,12,8,16,24,16,8,16,8,16,54,4,8,16,6,6,
12,12,12,8,48,10,6,10,20,12,10,58,10,12,12,12,48,16,16,64,8,8,16,64,24,24,8,8,
8,9,3,3,3,12,12,24,3,5,2,4,12,16,1,21,42,2,6,6,12,2,14,2,42,6,6,2,2,2,6,4,12,
4,2,2,4,8,6,4,8,8,16,8,4,2,8,6,1,2,6,4,21,10,2,4,12,6,12,12,8,4,8,3,4,12,4,2,
2,2,2,4,2,4,4,6,4,4,12,8,20,4,4,16,4,8,4,12,12,24,24,4,4,4,4,4,4,4,4,8,8,8,8,
4,4,8,16,4,8,1,7,1,3,2,1,2,4,1,7,1,2,2,6,6,6,6,4,3,1,1,2,1,1,4,4,6,6,6,8,2,2,
6,2,2,2,1,3,4,4,4,4,2,2,2,2,2,2,2,2,2,2,4,4,2,4,4,4,4,4,4,4,4,4,4,8,1,1,1,2,2,
2,1,3,3,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,33,62,13,49,14,
168,73,276,166,24,16,60,60,36,80,17,1,42,42,168,6,9,24,48,69,4,8,126,168,73,6,
8,184,32,504,48,44,116,20,20,32,16,32,24,40,16,16,32,64,10,12,10,34,6,8,40,48,
58,14,16,64,96,8,16,1,14,168,1,3,23,7,3,12,63,252,126,12,4,9,3,2,12,4,16,3,12,
5,20,16,8,8,4,8,4,8,8,2,10,2,12,4,20,8,42,6,8,16,4,8,4,12,18,6,20,6,42,8,16,
12,8,8,16,24,16,24,16,4,6,6,12,12,12,8,16,8,48,10,10,10,20,12,58,54,10,6,16,
16,64,12,12,48,12,8,16,8,64,24,24,8,8,8,9,3,3,3,12,12,24,3,5,2,4,16,12,21,1,
42,2,6,6,12,8,14,2,2,2,2,6,6,6,2,12,4,4,2,2,4,8,4,42,6,8,8,16,4,1,2,6,4,21,2,
8,6,2,10,12,4,6,12,4,8,12,8,3,4,12,4,2,2,2,2,4,4,2,4,6,16,4,12,24,4,20,4,12,4,
4,4,8,12,24,8,4,4,4,4,4,4,4,4,8,8,4,4,8,8,8,16,4,8,1,1,7,1,2,4,3,2,1,7,1,2,6,
2,6,6,6,4,3,1,1,2,1,1,4,4,2,2,2,6,8,6,6,6,1,2,2,3,4,4,4,4,2,2,2,2,2,2,2,2,2,2,
4,4,2,4,4,4,4,4,4,4,4,4,4,8,1,1,1,2,2,2,3,3,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,
1,1,1,1,1,1,1,1],[1,33,94,41,21,14,184,89,284,198,72,80,180,44,68,48,3,15,46,
42,168,18,27,72,48,67,20,16,130,168,81,18,24,168,96,24,520,144,36,52,116,44,
96,40,128,88,72,72,32,32,96,160,18,44,26,54,22,32,24,32,22,30,88,16,160,24,8,
24,16,1,14,168,2,3,9,21,7,9,36,65,252,126,36,9,9,2,8,8,22,4,11,36,9,36,40,6,2,
18,36,2,4,44,8,8,6,2,6,22,6,44,4,12,16,4,2,18,16,32,8,30,18,18,18,36,4,4,36,
12,4,8,24,16,32,16,8,16,54,18,72,10,22,22,44,36,36,16,32,32,160,22,18,18,36,
44,18,4,54,30,36,40,48,144,36,36,160,8,24,32,32,72,144,72,72,24,72,72,24,8,8,
8,16,16,16,16,9,9,11,9,36,40,72,9,2,9,18,8,8,36,36,21,3,42,4,4,6,18,18,36,16,
6,10,18,4,18,22,18,36,4,8,18,18,4,6,12,16,2,18,4,8,36,16,32,6,2,2,18,2,4,4,8,
11,18,2,9,2,18,36,18,36,4,8,16,8,9,12,4,12,36,36,12,12,36,18,18,2,2,36,2,2,4,
22,18,22,18,36,4,4,4,36,2,18,18,18,6,18,4,12,8,4,4,4,4,4,4,4,8,4,8,8,36,4,36,
4,4,4,4,36,44,36,8,4,4,4,8,36,36,36,8,8,4,4,36,36,36,36,4,8,8,8,8,8,8,8,8,8,
16,1,2,6,2,4,8,2,1,3,3,3,9,2,4,18,18,18,18,2,8,6,6,18,9,2,9,11,18,2,18,2,3,1,
2,2,2,2,4,2,2,9,9,1,9,4,4,4,4,4,4,4,4,4,4,4,4,2,2,4,2,18,18,36,2,2,18,18,2,4,
18,18,36,4,2,18,18,4,4,36,36,36,36,4,4,4,4,36,36,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,2,3,1,1,2,6,18,1,1,2,1,1,2,9,9,1,1,2,2,2,4,2,2,18,2,2,2,2,2,2,2,2,
2,4,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,33,94,21,41,14,72,89,180,198,
184,80,284,44,68,48,15,3,18,42,72,46,67,168,48,27,20,24,18,24,81,130,168,96,
168,16,144,520,36,116,52,44,88,72,72,96,40,128,32,32,160,96,18,44,30,22,22,88,
24,16,54,26,32,32,160,8,24,24,16,1,14,168,3,2,21,9,7,65,252,9,36,36,126,9,2,9,
22,4,8,8,11,36,9,40,36,2,6,2,4,18,36,8,44,8,6,6,2,6,22,4,44,12,16,18,18,4,16,
18,36,4,4,2,8,30,18,12,36,8,24,4,16,16,32,8,16,32,4,10,32,32,18,22,22,36,44,
36,16,72,160,18,30,22,36,44,54,54,18,18,8,36,36,160,48,40,144,36,72,24,32,32,
144,72,24,72,72,24,72,8,8,8,16,16,16,16,9,11,9,9,40,36,72,2,9,9,8,8,18,36,36,
3,21,42,6,18,18,36,4,4,6,10,2,22,18,4,18,4,36,8,6,4,12,16,18,18,18,18,4,36,8,
16,32,16,2,6,18,2,11,18,2,9,2,4,4,8,18,2,36,4,18,36,8,8,16,9,4,12,12,12,36,36,
12,36,2,2,18,18,36,18,22,18,22,36,2,2,4,4,4,36,4,18,2,18,18,6,18,4,4,4,8,4,4,
4,4,4,12,4,8,8,8,4,36,36,4,4,4,4,8,4,4,36,44,36,36,36,36,8,4,8,36,36,36,8,36,
4,4,4,8,8,8,8,8,8,8,8,8,16,1,2,6,2,2,4,8,3,3,1,3,2,4,9,18,2,18,18,18,8,6,6,18,
9,11,9,18,2,18,2,2,1,3,2,2,2,2,2,2,4,1,9,9,9,4,4,4,4,4,4,4,4,4,4,4,4,2,2,4,2,
18,18,36,2,2,18,2,18,18,4,18,4,36,18,18,2,36,36,36,36,4,4,4,4,4,4,36,36,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,2,3,1,1,2,6,18,1,1,2,1,1,2,1,9,9,1,2,2,2,4,
2,2,18,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,33,94,
25,25,26,168,125,268,234,168,48,268,44,68,48,3,3,42,78,168,42,67,168,48,48,67,
12,16,126,168,117,126,168,168,168,16,504,504,36,52,52,60,88,32,88,88,32,88,48,
48,64,144,64,26,20,26,22,18,16,24,32,22,26,16,32,144,8,16,14,168,14,168,2,2,
21,21,13,63,252,63,252,126,126,2,2,4,4,8,4,8,9,36,9,36,36,4,4,8,2,22,22,36,36,
12,24,18,18,18,16,32,18,44,4,18,18,44,4,8,8,8,16,8,16,16,32,16,32,8,16,32,4,8,
16,32,8,18,18,36,36,36,24,32,16,144,10,22,18,22,44,12,18,4,18,18,16,36,44,144,
44,36,144,16,16,32,16,16,16,32,144,8,16,8,16,8,8,8,9,9,9,36,36,72,2,2,9,4,4,8,
4,8,36,36,21,21,42,42,6,18,18,36,6,18,18,36,16,6,6,18,22,22,18,18,18,36,36,12,
4,8,16,4,8,16,18,18,4,4,8,8,16,32,16,32,16,4,2,4,4,8,2,4,4,8,18,18,36,36,18,
36,18,36,8,16,8,16,9,4,4,8,4,4,4,4,2,2,4,24,4,4,4,4,4,4,4,4,4,8,8,8,4,4,4,4,4,
4,4,8,8,8,8,8,4,8,1,1,2,4,8,2,4,8,1,2,4,2,4,18,18,18,18,18,18,18,18,8,8,6,9,9,
2,2,1,1,1,1,2,2,2,2,2,2,1,9,4,8,4,4,4,4,4,2,2,2,2,2,2,2,2,8,2,8,4,4,4,4,4,4,4,
4,8,8,2,2,3,3,1,1,2,2,1,1,9,2,2,2,2,2,2,2,2,2,2,2,2,4,1,1,1,1,1,1,1,1],[1,17,
78,9,9,2,40,45,108,66,40,112,108,76,52,48,1,1,10,6,24,10,17,24,17,28,32,10,8,
21,10,8,32,32,32,64,64,4,44,44,44,48,40,32,48,40,32,16,16,64,112,64,18,36,22,
42,18,32,24,32,42,22,32,32,112,8,8,8,16,4,4,3,3,1,5,12,5,12,12,12,4,4,4,4,4,8,
8,8,8,9,20,5,24,24,2,2,2,12,2,12,8,8,4,4,24,2,2,2,10,10,12,12,12,8,8,18,8,8,
12,16,4,16,18,12,16,4,16,20,20,8,16,8,16,8,8,24,8,8,10,32,16,10,10,10,12,12,4,
8,16,32,48,10,10,6,10,12,28,2,8,2,6,24,16,16,32,16,16,32,24,16,16,32,16,32,16,
16,8,16,24,8,24,16,24,24,8,8,8,16,16,16,16,3,3,1,8,8,8,4,4,1,4,8,4,8,4,4,4,1,
1,4,4,4,4,2,4,4,4,4,4,4,4,6,8,8,8,8,6,8,8,2,8,8,8,8,2,2,2,2,4,2,4,4,4,6,2,4,4,
4,6,6,6,8,8,4,12,4,12,4,4,5,4,4,12,4,12,4,8,2,2,2,2,4,4,2,6,4,2,6,4,4,8,12,8,
4,4,2,2,2,6,6,2,4,8,8,12,16,8,4,4,24,12,8,8,8,4,4,8,8,8,16,4,4,4,4,4,4,4,8,4,
4,8,4,4,8,4,8,8,4,8,4,16,16,8,8,4,4,8,4,4,8,8,4,8,8,8,8,8,8,8,8,8,16,1,1,1,1,
1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,2,2,2,2,4,4,6,2,6,2,4,4,1,1,1,1,4,4,4,
4,8,8,8,8,8,4,4,4,2,4,2,2,2,4,4,2,2,2,2,2,2,4,4,4,4,8,2,2,2,4,4,4,4,8,4,4,4,4,
4,4,4,4,4,4,4,4,8,8,2,2,2,2,2,2,2,2,1,1,2,2,2,2,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,
1,1,1,1,1,1,1,1],[1,25,54,9,37,2,24,33,84,82,40,48,92,60,76,80,15,1,6,6,24,10,
13,24,15,12,8,6,8,25,10,8,48,32,16,48,64,20,68,28,20,32,16,16,32,40,80,48,32,
14,20,26,42,14,24,40,80,38,26,48,32,144,8,8,1,1,2,3,5,1,5,12,3,12,12,12,4,5,2,
3,6,20,12,8,7,20,7,32,24,2,10,12,4,8,8,12,8,8,8,2,2,14,10,12,20,20,4,10,8,16,
16,8,16,8,16,18,4,24,18,6,12,8,8,8,20,16,16,8,16,8,8,16,4,10,32,4,6,6,4,12,4,
8,32,6,18,10,12,20,30,30,6,2,8,8,8,48,16,8,16,12,8,8,32,32,24,24,24,24,5,3,1,
1,8,4,8,2,3,3,8,2,8,4,1,1,4,4,2,6,2,6,2,4,2,4,4,6,4,4,2,2,4,6,4,8,8,2,4,2,3,2,
10,3,4,4,4,6,6,10,8,12,4,12,4,8,8,8,4,8,5,4,4,12,12,2,2,4,2,6,2,6,4,2,2,4,4,4,
4,4,2,2,4,6,6,8,8,12,4,4,8,8,20,8,20,4,4,8,4,4,12,8,4,8,4,8,8,8,4,4,8,4,4,4,
12,4,8,8,8,4,8,4,4,8,8,4,12,8,16,1,2,2,1,2,1,1,1,2,1,2,2,2,2,2,3,1,2,2,2,2,1,
3,1,1,2,2,4,4,2,2,4,2,10,4,4,2,4,1,1,2,2,1,4,4,4,4,4,4,4,4,2,4,6,2,2,2,2,4,4,
2,2,4,4,4,4,2,2,4,4,4,4,4,4,4,4,8,1,1,2,2,2,2,1,1,2,1,1,1,1,2,2,2,2,1,1,1,2,2,
2,2,2,2,2,1,1,1,1,1,1,1,1],[1,25,54,37,9,2,40,33,92,82,24,48,84,60,76,80,1,15,
10,6,24,6,15,24,13,12,16,10,8,25,6,8,32,48,8,64,48,20,28,68,20,32,40,80,32,16,
16,32,48,14,20,26,38,14,48,40,32,42,26,24,80,144,8,8,1,2,1,5,3,1,3,12,5,12,12,
12,5,4,3,2,12,8,6,20,7,20,7,24,32,2,4,8,10,12,12,8,8,8,8,2,2,10,14,20,12,20,8,
18,4,8,16,4,24,18,6,10,8,16,8,16,8,12,20,8,8,8,16,16,16,8,16,16,30,4,8,10,6,6,
12,4,4,32,32,10,2,6,12,20,6,4,30,18,12,8,16,16,8,8,48,8,8,32,8,32,24,24,24,24,
5,1,3,1,4,8,8,3,2,3,2,8,4,8,1,1,4,4,2,6,6,4,2,6,2,4,4,2,2,4,6,4,2,4,4,8,8,2,2,
4,4,4,4,6,3,2,10,3,10,6,12,8,4,8,4,12,4,8,8,8,5,4,4,12,12,2,2,4,2,2,4,6,2,6,2,
4,4,4,4,2,2,4,4,6,6,8,20,12,4,8,8,20,8,4,12,8,4,4,4,8,4,4,4,8,8,8,8,8,4,4,4,
12,4,8,4,4,4,8,8,8,8,8,4,12,8,4,4,8,16,1,1,2,2,2,1,1,1,1,2,2,2,2,2,2,2,1,3,2,
2,2,1,1,3,1,4,2,4,2,4,2,4,4,10,2,2,2,4,2,2,1,1,1,4,4,4,4,4,4,4,4,6,2,2,4,2,2,
2,4,4,2,2,4,4,4,4,2,2,4,4,4,4,4,4,4,4,8,1,1,2,2,1,1,2,2,2,1,1,1,1,2,2,2,2,1,1,
1,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,33,62,37,37,2,24,37,132,130,24,112,132,60,
36,80,15,15,6,6,24,6,27,24,27,28,56,6,8,37,6,8,80,80,56,48,48,44,108,108,84,
16,16,32,16,16,32,16,16,32,48,32,50,84,14,62,10,8,40,48,62,14,8,48,112,56,16,
1,1,7,7,9,9,1,3,12,3,12,12,12,9,9,21,21,28,2,12,2,12,5,20,25,24,24,4,8,4,8,4,
4,4,4,8,14,14,42,6,6,12,12,20,8,4,10,4,16,8,16,6,6,10,8,16,6,6,8,8,12,8,12,8,
16,16,8,16,54,4,8,16,4,2,2,4,4,4,8,16,8,16,42,42,6,42,84,84,54,54,54,6,84,8,8,
32,8,8,32,84,8,16,8,8,8,16,48,56,168,168,168,8,8,8,9,9,1,1,1,4,4,8,21,21,21,
28,2,4,2,4,8,8,1,1,2,2,2,2,6,2,2,2,2,2,2,4,4,4,2,2,4,8,2,2,4,8,4,6,4,4,4,8,8,
4,4,4,1,2,6,4,3,1,2,6,4,3,6,6,12,12,4,8,4,8,8,8,5,28,84,84,84,4,4,4,2,2,2,2,4,
2,2,2,2,4,4,4,4,2,2,2,42,42,42,84,56,8,4,4,12,4,8,12,12,4,12,4,4,4,4,4,4,8,8,
4,8,4,8,8,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,4,8,8,8,4,4,8,4,4,8,8,8,4,8,2,2,7,
7,21,1,1,1,2,1,2,2,2,2,2,2,1,1,2,1,1,2,2,2,2,2,2,2,2,2,2,2,4,2,2,6,2,2,6,2,2,
4,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,28,4,4,4,4,2,2,2,2,2,2,4,4,4,4,8,2,
2,2,4,4,4,4,8,8,4,4,4,4,4,4,4,4,8,4,4,4,8,8,1,2,2,2,2,1,1,1,1,1,2,2,2,2,1,1,1,
1,1,2,2,2,2,4,2,2,2,2,4,4,4,1,1,1,1,1,1,1,1],[1,25,86,21,13,14,24,85,76,150,
184,80,300,44,44,112,1,3,6,42,24,46,71,168,48,13,20,16,6,8,69,130,168,32,168,
32,48,520,12,36,44,44,40,24,64,72,64,64,64,32,96,160,14,28,10,14,10,56,64,34,
22,48,64,64,8,8,14,168,2,4,21,3,7,65,252,3,12,12,126,4,4,2,4,16,12,16,5,12,3,
16,12,2,2,4,8,8,4,4,16,2,2,10,6,4,12,28,32,6,18,4,24,14,12,8,4,2,16,12,20,8,
16,40,16,8,24,32,64,16,32,64,8,18,48,64,10,10,12,20,12,32,16,64,10,10,10,14,
20,20,6,4,6,6,24,20,12,64,32,16,48,16,8,16,40,48,64,48,8,16,24,8,16,24,5,3,3,
16,12,24,4,2,3,4,12,16,4,12,12,1,21,42,2,6,6,12,4,4,2,2,6,6,8,10,4,12,16,10,4,
20,32,4,4,8,6,8,4,16,32,64,32,2,2,4,8,4,6,4,8,8,16,6,2,12,4,6,12,12,16,32,3,4,
12,4,4,8,2,2,4,4,4,2,2,4,8,8,4,4,2,2,6,2,4,4,4,4,8,12,4,4,8,16,8,4,8,4,4,4,8,
8,12,12,24,32,4,4,8,4,4,8,8,4,4,8,16,8,8,4,4,8,8,1,1,3,4,8,16,1,1,4,8,2,6,2,6,
6,6,16,3,2,2,2,2,4,2,1,1,2,2,2,2,6,6,8,2,6,2,2,4,1,1,3,4,8,4,4,4,4,8,4,4,4,8,
4,4,2,2,2,2,4,2,2,4,4,8,2,2,4,4,8,4,4,8,4,4,8,4,1,2,2,2,2,1,3,3,1,2,2,1,1,2,2,
2,2,2,2,4,2,2,2,2,4,1,1,1,1,1,1,1,1],[1,25,86,13,21,14,184,85,300,150,24,80,
76,44,44,112,3,1,46,42,168,6,13,24,48,71,20,32,130,168,69,6,8,168,32,16,520,
48,12,44,36,44,64,72,64,40,24,64,64,160,96,32,14,28,22,34,10,48,56,64,14,10,
64,64,8,8,14,168,4,2,3,21,7,3,12,65,252,126,12,4,2,4,4,12,16,16,5,12,3,12,16,
2,8,2,4,8,4,4,16,2,2,6,10,12,4,28,32,4,2,6,32,64,16,12,18,14,12,8,4,8,20,16,8,
16,40,32,64,24,16,24,4,16,18,10,10,20,12,12,32,64,48,64,10,14,6,10,20,20,6,8,
6,10,16,16,32,48,12,20,64,24,40,64,48,8,16,48,8,16,8,24,16,24,3,5,3,12,16,24,
2,4,3,4,4,12,16,12,12,21,1,42,4,4,2,6,6,12,32,2,8,6,6,10,12,4,16,4,4,8,4,10,
20,32,2,6,4,8,16,32,64,2,2,4,4,8,8,16,8,4,6,2,6,12,6,12,4,16,32,12,3,4,4,12,4,
8,2,2,4,2,2,4,4,4,4,8,8,4,2,2,6,2,4,16,8,4,12,32,12,4,4,4,8,4,8,4,4,12,24,4,8,
4,8,8,4,4,8,4,4,4,8,8,4,16,8,8,8,4,4,8,8,1,1,4,8,16,3,1,1,2,4,8,6,6,6,6,2,16,
3,2,2,2,4,2,1,1,2,2,2,2,2,2,2,4,2,6,8,6,6,1,1,3,4,8,4,4,4,8,4,4,4,4,8,4,4,2,2,
2,2,4,2,2,4,4,8,2,2,4,4,8,4,4,8,4,4,8,4,1,2,2,2,2,3,3,1,1,2,2,1,1,2,2,2,2,2,2,
4,2,2,2,2,4,1,1,1,1,1,1,1,1],[1,21,42,80,32,7,21,14,168,63,252,126,48,96,3,42,
42,168,48,63,126,168,63,168,504,64,12,112,224,8,8,24,8,16,32,14,168,21,7,63,
252,126,12,24,24,24,24,24,48,21,42,16,32,28,1,2,56,8,8,24,8,12,1,3,6,4,8,1,1,
2,1],[1,21,42,80,32,21,7,14,63,126,168,252,48,96,3,42,42,63,168,48,63,126,168,
168,504,64,112,12,8,8,8,224,24,16,32,14,168,21,7,63,252,126,12,24,24,24,24,24,
48,21,42,16,32,1,28,2,56,8,8,24,8,12,1,3,6,4,8,1,1,2,1],[1,15,12,32,80,35,4,
12,18,18,96,48,15,3,12,36,9,12,64,8,16,100,16,48,4,32,16,1,1,3,3,9,9,9,24,12,
12,12,3,3,9,32,16,5,4,1,8,4,4,12,12,1,3,3,4,4,1,1,1,1,1],[1,15,12,32,80,35,4,
12,18,18,96,48,15,3,12,36,9,12,64,8,4,16,100,16,48,32,16,1,1,3,3,9,9,9,24,12,
12,12,3,3,9,32,16,5,4,1,8,4,4,12,12,1,3,3,4,4,1,1,1,1,1],[1,15,36,8,32,35,54,
54,72,48,96,24,15,9,108,27,36,36,16,2,40,8,24,24,1,27,18,27,18,16,12,72,6,24,
9,9,9,8,16,2,2,6,6,9,8,6,6,1,1,1],[1,15,36,8,32,35,54,54,72,48,96,24,15,9,108,
36,27,36,16,2,40,8,24,24,1,18,27,27,18,16,12,72,6,24,9,9,9,8,16,2,2,6,6,9,8,6,
6,1,1,1],[1,15,60,8,32,35,90,72,90,48,128,24,96,15,15,18,54,180,54,45,18,16,2,
40,8,24,24,96,1,45,54,45,54,16,32,12,96,6,24,24,15,9,27,8,16,2,2,6,24,6,9,8,8,
6,6,1,6,1,2,1],[1,15,60,8,32,35,72,90,90,48,128,24,96,15,15,18,54,180,45,54,
18,16,2,40,8,24,24,96,1,45,54,45,54,16,32,12,96,6,24,24,15,9,27,8,16,2,2,6,24,
6,9,8,8,6,6,1,6,1,2,1],[1,33,42,32,8,21,21,2,27,90,36,54,36,32,96,48,96,24,3,
3,6,9,27,54,54,54,36,36,27,27,18,27,18,16,12,12,8,2,8,8,24,96,24,1,9,18,9,9,
18,27,27,27,54,16,32,12,12,12,12,12,24,24,12,12,6,24,3,3,9,9,9,9,9,8,16,1,1,2,
12,12,6,6,9,8,1,1,3,3,3,3,6,1,3,3,1,1,1,1],[1,27,72,8,32,35,6,36,18,126,108,
72,24,54,8,72,96,72,15,9,36,18,18,36,48,36,24,72,108,36,36,36,72,36,27,72,16,
2,40,24,8,24,72,24,72,24,1,6,9,6,18,9,18,27,9,18,18,36,9,36,27,18,18,72,72,16,
32,2,6,12,72,6,12,8,24,24,24,24,24,24,6,18,9,9,18,9,18,18,18,8,16,2,2,6,6,12,
6,6,12,6,6,24,9,8,8,8,6,2,6,6,6,6,6,6,1,8,6,1,2,1],[1,27,72,8,32,6,35,18,72,
108,36,126,24,54,8,72,96,72,15,9,36,18,18,48,36,36,24,72,36,36,36,108,72,27,
36,72,16,2,40,8,24,24,24,72,72,24,1,6,9,6,18,9,18,9,18,27,18,9,27,36,36,18,18,
72,72,16,32,2,6,12,72,6,12,24,8,24,24,24,24,24,6,18,9,9,18,9,18,18,18,8,16,2,
2,6,6,6,6,12,12,6,6,24,9,8,8,8,6,2,6,6,6,6,6,6,1,8,6,1,2,1],[1,15,60,20,20,15,
45,45,60,90,36,20,60,80,60,60,15,15,90,90,45,10,36,15,15,60,60,45,10,20,20,36,
15,15,30,15,15,10,10,10,15,15,6,6,10,6,6,1,1],[1,15,60,20,20,15,45,45,60,90,
36,20,60,80,60,60,15,15,90,90,45,10,36,15,15,60,60,45,10,20,20,36,15,15,30,15,
15,10,10,10,15,15,6,6,10,6,6,1,1],[1,15,60,20,20,45,15,60,45,90,36,20,60,80,
60,60,15,15,90,90,45,10,36,15,15,60,60,45,10,20,20,36,15,15,30,15,15,10,10,10,
15,15,6,6,10,6,6,1,1],[1,33,78,64,25,25,26,168,117,252,234,168,252,36,36,192,
3,3,42,78,168,42,63,168,48,48,63,126,168,117,126,168,168,168,504,504,36,36,36,
36,72,72,72,72,144,18,18,18,18,18,18,144,112,224,64,14,168,14,168,21,21,13,63,
252,63,252,126,126,9,36,9,36,36,18,18,36,36,18,18,18,18,36,18,18,36,18,18,36,
36,36,144,18,18,18,36,18,18,18,36,36,144,36,36,144,144,48,96,96,9,9,9,36,36,
72,9,36,36,21,21,42,42,6,18,18,36,6,18,18,36,6,6,18,18,18,18,18,18,36,36,18,
18,18,18,36,36,18,36,18,36,9,24,28,56,32,48,1,1,18,18,18,18,18,18,18,18,6,9,9,
9,12,24,24,3,3,9,1,4,1,3,1],[1,33,78,64,25,25,26,168,117,252,234,168,252,36,
36,192,3,3,42,78,168,42,63,168,48,48,63,126,168,117,126,168,168,168,504,504,
36,36,36,36,72,72,72,72,144,18,18,18,18,18,18,144,112,224,64,14,168,14,168,21,
21,13,63,252,63,252,126,126,9,36,9,36,36,18,18,36,36,18,18,18,18,36,18,18,36,
18,18,36,36,36,144,18,18,18,36,18,18,18,36,36,144,36,36,144,144,48,96,96,9,9,
9,36,36,72,9,36,36,21,21,42,42,6,18,18,36,6,18,18,36,6,6,18,18,18,18,18,18,36,
36,18,18,18,18,36,36,18,36,18,36,9,24,28,56,32,48,1,1,18,18,18,18,18,18,18,18,
6,9,9,9,12,24,24,3,3,9,1,4,1,3,1],[1,33,78,64,41,21,14,168,81,252,198,72,48,
180,36,36,192,3,15,42,42,168,18,27,72,48,63,12,126,168,81,18,24,168,96,24,504,
144,36,36,108,36,72,72,72,72,72,144,18,36,18,54,18,18,18,72,144,24,24,48,16,
32,48,64,1,14,168,3,9,21,7,9,36,63,252,126,36,9,9,18,9,36,9,36,36,6,18,36,36,
6,6,18,36,18,18,18,18,18,36,36,54,18,72,18,18,36,36,36,144,18,18,18,36,36,18,
54,18,36,36,36,144,36,36,144,72,144,72,72,72,72,48,48,48,96,96,96,96,96,9,9,9,
9,36,36,72,9,9,18,36,36,21,3,42,6,18,18,36,6,6,18,18,18,18,36,18,18,18,36,6,
18,9,18,9,18,36,18,36,9,12,12,36,36,12,36,18,18,36,18,18,18,18,36,36,18,18,18,
18,36,36,36,36,36,36,36,36,36,36,36,36,4,16,32,48,48,96,96,1,2,6,3,3,3,9,18,
18,18,18,6,6,18,9,9,9,18,18,9,9,9,18,18,36,18,18,18,18,36,18,18,36,36,36,36,
36,36,12,12,12,3,6,18,9,9,18,4,8,24,12,12,24,1,1],[1,33,78,64,21,41,14,72,81,
180,198,168,48,252,36,36,192,15,3,18,42,72,42,63,168,48,27,12,24,18,24,81,126,
168,96,168,144,504,36,108,36,36,72,72,72,72,72,144,18,36,18,18,18,72,54,18,
144,24,24,16,48,32,48,64,1,14,168,3,21,9,7,63,252,9,36,36,126,9,9,18,9,36,9,
36,36,6,18,36,36,6,6,18,36,18,18,18,36,18,18,36,18,18,18,36,36,36,72,144,18,
18,18,36,36,54,54,18,18,36,36,144,36,36,144,36,72,144,72,72,72,72,48,48,48,96,
96,96,96,96,9,9,9,9,36,36,72,9,9,18,36,36,3,21,42,6,18,18,36,6,6,18,18,18,36,
18,18,18,18,36,6,18,9,18,9,18,36,18,36,9,12,12,36,36,12,36,18,18,36,18,18,18,
18,36,36,18,18,18,18,36,36,36,36,36,36,36,36,36,36,36,36,4,16,32,48,48,96,96,
1,2,6,3,3,3,9,18,18,18,18,6,6,18,9,9,9,18,18,9,9,9,18,18,36,18,18,18,18,36,18,
18,36,36,36,36,36,36,12,12,12,3,6,18,9,9,18,4,8,24,12,12,24,1,1],[1,33,78,64,
41,21,14,168,81,252,198,72,48,180,36,36,192,3,15,42,42,168,18,27,72,48,63,12,
126,168,81,18,24,168,96,24,504,144,36,36,108,36,72,72,72,72,72,144,18,36,18,
54,18,18,18,72,144,24,24,112,224,64,1,14,168,3,9,21,7,9,36,63,252,126,36,9,9,
18,9,36,9,36,36,6,18,36,36,6,6,18,36,18,18,18,18,18,36,36,54,18,72,18,18,36,
36,36,144,18,18,18,36,36,18,54,18,36,36,36,144,36,36,144,72,144,72,72,72,72,
48,96,96,9,9,9,9,36,36,72,9,9,18,36,36,21,3,42,6,18,18,36,6,6,18,18,18,18,36,
18,18,18,36,6,18,9,18,9,18,36,18,36,9,12,12,36,36,12,36,18,18,36,18,18,18,18,
36,36,18,18,18,18,36,36,36,36,36,36,36,36,36,36,36,36,28,56,16,1,2,6,3,3,3,9,
18,18,18,18,6,6,18,9,9,9,18,18,9,9,9,18,18,36,18,18,18,18,36,18,18,36,36,36,
36,36,36,12,24,24,3,6,18,9,9,18,1,8,12,1,3,1],[1,33,78,64,21,41,14,72,81,180,
198,168,48,252,36,36,192,15,3,18,42,72,42,63,168,48,27,12,24,18,24,81,126,168,
96,168,144,504,36,108,36,36,72,72,72,72,72,144,18,36,18,18,18,72,54,18,144,24,
24,112,224,64,1,14,168,3,21,9,7,63,252,9,36,36,126,9,9,18,9,36,9,36,36,6,18,
36,36,6,6,18,36,18,18,18,36,18,18,36,18,18,18,36,36,36,72,144,18,18,18,36,36,
54,54,18,18,36,36,144,36,36,144,36,72,144,72,72,72,72,48,96,96,9,9,9,9,36,36,
72,9,9,18,36,36,3,21,42,6,18,18,36,6,6,18,18,18,36,18,18,18,18,36,6,18,9,18,9,
18,36,18,36,9,12,12,36,36,12,36,18,18,36,18,18,18,18,36,36,18,18,18,18,36,36,
36,36,36,36,36,36,36,36,36,36,28,56,16,1,2,6,3,3,3,9,18,18,18,18,6,6,18,9,9,9,
18,18,9,9,9,18,18,36,18,18,18,18,36,18,18,36,36,36,36,36,36,12,24,24,3,6,18,9,
9,18,1,8,12,1,3,1],[1,33,78,64,25,25,26,168,117,252,234,168,252,36,36,192,3,3,
42,78,168,42,63,168,48,48,63,126,168,117,126,168,168,168,504,504,36,36,36,36,
72,72,72,72,144,18,18,18,18,18,18,144,16,16,48,16,48,64,14,168,14,168,21,21,
13,63,252,63,252,126,126,9,36,9,36,36,18,18,36,36,18,18,18,18,36,18,18,36,18,
18,36,36,36,144,18,18,18,36,18,18,18,36,36,144,36,36,144,144,48,48,48,48,48,
96,96,9,9,9,36,36,72,9,36,36,21,21,42,42,6,18,18,36,6,18,18,36,6,6,18,18,18,
18,18,18,36,36,18,18,18,18,36,36,18,36,18,36,9,24,4,4,16,16,48,16,48,1,1,18,
18,18,18,18,18,18,18,6,9,9,9,12,12,12,3,3,9,4,4,12,1,1],[1,33,78,64,21,41,14,
72,81,180,198,168,48,252,36,36,192,15,3,18,42,72,42,63,168,48,27,12,24,18,24,
81,126,168,96,168,144,504,36,108,36,36,72,72,72,72,72,144,18,36,18,18,18,72,
54,18,144,24,24,16,80,48,64,1,14,168,3,21,9,7,63,252,9,36,36,126,9,9,18,9,36,
9,36,36,6,18,36,36,6,6,18,36,18,18,18,36,18,18,36,18,18,18,36,36,36,72,144,18,
18,18,36,36,54,54,18,18,36,36,144,36,36,144,36,72,144,72,72,72,72,48,48,48,96,
9,9,9,9,36,36,72,9,9,18,36,36,3,21,42,6,18,18,36,6,6,18,18,18,36,18,18,18,18,
36,6,18,9,18,9,18,36,18,36,9,12,12,36,36,12,36,18,18,36,18,18,18,18,36,36,18,
18,18,18,36,36,36,36,36,36,36,36,36,36,36,36,4,4,16,16,48,12,1,2,6,3,3,3,9,18,
18,18,18,6,6,18,9,9,9,18,18,9,9,9,18,18,36,18,18,18,18,36,18,18,36,36,36,36,
36,36,12,12,12,24,3,6,18,9,9,18,1,4,4,12,1,3,1],[1,33,78,64,41,21,14,168,81,
252,198,72,48,180,36,36,192,3,15,42,42,168,18,27,72,48,63,12,126,168,81,18,24,
168,96,24,504,144,36,36,108,36,72,72,72,72,72,144,18,36,18,54,18,18,18,72,144,
24,24,80,16,48,64,1,14,168,3,9,21,7,9,36,63,252,126,36,9,9,18,9,36,9,36,36,6,
18,36,36,6,6,18,36,18,18,18,18,18,36,36,54,18,72,18,18,36,36,36,144,18,18,18,
36,36,18,54,18,36,36,36,144,36,36,144,72,144,72,72,72,72,48,48,48,96,9,9,9,9,
36,36,72,9,9,18,36,36,21,3,42,6,18,18,36,6,6,18,18,18,18,36,18,18,18,36,6,18,
9,18,9,18,36,18,36,9,12,12,36,36,12,36,18,18,36,18,18,18,18,36,36,18,18,18,18,
36,36,36,36,36,36,36,36,36,36,36,36,4,4,16,16,48,12,1,2,6,3,3,3,9,18,18,18,18,
6,6,18,9,9,9,18,18,9,9,9,18,18,36,18,18,18,18,36,18,18,36,36,36,36,36,36,12,
12,12,24,3,6,18,9,9,18,1,4,4,12,1,3,1],[1,25,102,64,13,21,14,168,93,300,150,
24,144,108,36,60,96,128,64,3,1,42,42,168,6,21,24,48,75,36,48,126,168,69,6,8,
168,32,48,504,48,12,60,60,84,72,96,72,24,24,96,96,192,48,96,30,60,30,18,6,48,
48,96,18,6,48,48,24,112,224,64,14,168,6,6,3,21,7,3,12,63,252,126,12,6,6,12,12,
24,12,3,12,3,12,12,12,12,24,6,6,12,12,24,48,6,48,96,24,6,6,12,12,24,12,24,24,
48,48,96,24,12,48,24,6,6,12,12,12,48,96,48,48,30,18,6,18,36,36,6,12,6,6,48,12,
36,48,12,12,48,48,48,96,48,24,48,48,24,48,24,48,32,64,128,16,32,32,3,3,3,12,
12,24,6,6,3,12,12,12,24,12,12,21,1,42,2,6,6,12,48,2,12,6,6,6,12,24,12,24,12,
24,48,6,12,12,24,48,96,12,6,12,12,24,6,12,6,12,6,12,24,48,3,12,12,24,12,12,12,
12,6,6,12,12,12,12,12,12,12,12,12,12,12,24,24,24,24,24,28,56,16,32,1,6,12,24,
3,6,6,12,6,6,6,6,24,3,6,6,3,3,6,6,6,3,3,12,12,12,12,6,6,6,24,6,24,8,16,32,4,8,
8,6,1,3,6,3,6,6,6,6,1,4,8,3,2,1,1],[1,49,78,64,13,105,14,168,81,324,198,24,48,
60,108,36,48,64,64,64,45,1,42,42,168,6,9,24,48,81,12,24,126,168,81,6,8,216,32,
504,48,108,324,36,36,48,48,48,24,72,48,48,96,96,18,36,18,18,6,24,24,48,162,6,
96,24,112,224,64,3,14,168,3,3,27,7,3,12,63,252,126,12,27,9,6,12,3,12,9,12,24,
12,24,12,6,6,6,12,12,12,24,126,6,24,48,12,24,6,6,12,18,126,24,12,24,24,48,12,
6,6,12,12,12,24,48,24,48,18,18,18,36,36,162,162,18,6,24,24,96,12,12,48,36,24,
48,24,96,72,72,112,16,32,64,16,32,32,27,3,3,3,12,12,24,9,9,6,12,24,12,21,1,42,
2,6,6,12,24,42,2,6,6,6,6,6,6,6,12,12,12,6,6,12,24,12,126,6,24,24,48,12,3,6,6,
12,63,6,6,12,12,6,12,12,24,3,12,36,12,6,6,6,6,12,6,18,12,12,12,12,12,12,24,12,
12,12,12,24,24,12,12,24,28,56,16,32,1,21,3,6,12,3,21,3,6,6,6,6,6,6,12,3,3,3,6,
6,6,6,6,3,3,12,12,12,12,6,6,6,12,12,6,12,12,28,4,8,16,4,8,8,3,3,1,3,3,3,3,6,6,
6,6,1,4,8,3,1,1,1,1],[1,25,102,64,21,13,14,24,93,60,150,216,96,348,36,60,96,
128,64,1,3,6,42,24,54,75,168,48,9,24,6,8,69,138,168,32,168,48,48,552,12,36,60,
36,72,24,96,120,96,96,96,96,192,6,24,18,18,18,48,6,30,96,96,96,24,112,224,64,
14,168,6,21,3,7,69,252,3,12,12,126,6,24,24,9,12,3,24,12,6,6,12,24,6,18,6,12,
12,24,48,6,6,12,6,12,12,12,6,24,36,24,48,48,96,48,96,12,30,96,96,18,18,12,36,
12,48,96,6,18,18,12,24,6,6,6,24,12,12,96,48,24,48,48,96,96,48,72,72,32,64,128,
16,32,32,9,3,3,24,12,24,6,3,24,24,12,12,1,21,42,2,6,6,12,12,12,2,6,6,6,12,6,
12,12,24,18,12,24,48,6,24,48,96,48,6,6,6,12,12,24,6,6,12,12,6,12,24,48,3,12,
36,6,6,6,6,12,12,6,18,12,24,12,24,24,12,24,12,12,24,12,24,12,12,28,56,16,32,1,
6,12,24,3,6,12,6,6,6,6,6,24,3,6,6,6,6,12,3,3,12,12,12,12,12,6,12,12,6,12,12,8,
16,32,4,8,8,6,1,3,6,3,6,12,6,1,4,8,3,2,1,1],[1,49,78,64,105,13,14,24,81,60,
198,168,48,324,108,36,48,64,64,64,1,45,6,42,24,42,81,168,48,9,12,6,8,81,126,
168,32,216,24,48,504,108,36,324,36,24,72,48,48,48,48,48,96,96,18,36,6,162,6,
24,18,18,24,48,96,24,112,224,64,3,14,168,3,27,3,7,63,252,3,12,12,126,27,9,6,
12,3,12,9,24,12,12,24,12,6,6,6,12,12,12,24,6,6,6,12,18,126,126,12,24,24,12,24,
24,48,24,48,162,12,24,48,6,6,12,12,12,24,48,18,6,18,36,36,18,162,18,36,12,12,
48,24,24,96,24,24,48,96,72,72,112,16,32,64,16,32,32,27,3,3,3,12,12,24,9,9,6,
12,12,24,1,21,42,2,6,6,12,2,42,6,126,6,6,6,6,6,6,12,12,12,6,6,12,24,6,12,24,
24,48,24,12,3,6,6,12,63,6,6,12,12,6,12,12,24,3,12,36,12,6,6,6,6,12,6,18,12,12,
12,24,12,12,12,12,12,12,12,24,24,12,12,24,28,56,16,32,1,21,3,6,12,3,21,3,6,6,
6,6,6,6,12,3,3,3,6,6,6,6,6,3,3,12,12,12,12,6,6,6,12,12,6,12,12,28,4,8,16,4,8,
8,3,3,1,3,3,3,3,6,6,6,6,1,4,8,3,1,1,1,1],[1,25,102,64,13,21,14,216,93,348,150,
24,96,60,36,60,96,128,64,3,1,54,42,168,6,9,24,48,75,24,48,138,168,69,6,8,168,
32,552,48,12,60,36,36,96,120,96,72,24,96,96,192,96,6,24,30,6,18,96,48,96,18,
18,96,24,112,224,64,14,168,6,3,21,7,3,12,69,252,126,12,6,24,24,9,12,3,12,24,6,
6,12,24,6,6,18,12,12,24,48,12,6,6,48,96,24,6,6,12,12,12,36,24,48,48,96,30,18,
18,36,12,12,48,96,96,96,18,6,6,12,24,6,12,6,18,24,48,48,12,12,96,24,48,96,96,
48,72,72,32,64,128,16,32,32,3,9,3,12,24,24,6,3,24,24,12,12,21,1,42,12,12,2,6,
6,12,48,2,12,6,6,6,12,12,24,12,18,24,48,6,6,24,48,96,6,6,6,12,12,24,6,6,12,6,
12,12,24,48,3,12,36,6,6,6,6,12,12,6,18,12,24,12,24,24,12,24,12,12,12,24,24,12,
12,28,56,16,32,1,6,12,24,3,6,12,6,6,6,6,6,24,3,6,6,6,6,12,3,3,12,12,12,12,12,
6,12,12,6,12,12,8,16,32,4,8,8,6,1,3,6,3,6,12,6,1,4,8,3,2,1,1],[1,25,102,64,21,
13,14,24,93,108,150,168,144,300,36,60,96,128,64,1,3,6,42,24,42,75,168,48,21,
36,48,6,8,69,126,168,32,168,48,48,504,12,60,60,84,24,24,72,96,72,96,96,96,48,
192,30,60,6,18,6,48,48,18,30,48,96,48,24,112,224,64,14,168,6,6,21,3,7,63,252,
3,12,12,126,6,6,12,12,12,24,3,12,3,12,12,12,12,24,6,12,6,12,24,48,6,6,6,12,12,
24,24,24,48,12,24,48,96,24,48,96,12,24,48,96,6,6,12,12,12,48,48,48,30,18,6,18,
36,36,6,12,6,6,48,12,12,48,36,12,48,48,24,48,48,48,96,48,24,48,24,48,32,64,
128,16,32,32,3,3,3,12,12,24,6,6,3,12,12,24,12,12,12,1,21,42,2,6,6,12,2,6,6,12,
6,12,24,12,24,48,12,24,6,12,12,24,48,96,48,12,6,12,6,12,12,24,6,12,6,12,24,48,
3,12,12,24,12,12,12,12,6,6,12,12,12,12,12,12,12,12,12,12,12,24,24,24,24,24,28,
56,16,32,1,6,12,24,3,6,12,6,6,6,6,6,24,3,6,6,3,3,6,6,6,3,3,12,12,12,12,6,6,6,
24,6,24,8,16,32,4,8,8,6,1,3,6,3,6,6,6,6,1,4,8,3,2,1,1],[1,25,54,64,21,13,14,
24,69,60,150,168,252,28,12,48,64,1,3,6,42,24,42,63,168,48,9,6,8,69,126,168,32,
168,48,504,12,12,12,12,24,24,24,24,48,6,6,6,6,24,48,30,6,48,112,224,64,14,168,
21,3,7,63,252,3,12,12,126,4,12,3,12,3,12,12,6,12,12,6,18,24,6,12,12,12,24,6,6,
12,12,12,48,6,6,6,12,6,6,6,12,12,48,12,12,48,48,16,32,32,3,3,3,12,12,24,3,12,
12,1,21,42,2,6,6,12,2,6,6,6,12,6,6,6,6,12,6,12,12,3,12,12,12,12,24,24,28,56,
16,1,1,3,6,6,6,6,3,6,6,6,6,3,4,8,8,1,3,3,1,4,1,1,1],[1,25,54,64,13,21,14,168,
69,252,150,24,60,28,12,48,64,3,1,42,42,168,6,9,24,48,63,126,168,69,6,8,168,32,
504,48,12,12,12,12,24,24,24,24,48,6,6,30,6,24,6,6,48,48,112,224,64,14,168,3,
21,7,3,12,63,252,126,12,4,12,3,12,3,12,12,6,12,12,6,12,18,6,12,12,24,24,6,6,
12,12,12,48,6,6,6,12,6,6,6,12,12,48,12,12,48,48,16,32,32,3,3,3,12,12,24,3,12,
12,21,1,42,2,6,6,12,2,6,6,6,12,6,6,6,6,12,6,12,12,3,12,12,24,12,12,24,28,56,
16,1,1,3,6,6,6,6,3,6,6,6,6,3,4,8,8,1,3,3,1,4,1,1,1],[1,25,54,64,13,21,14,168,
69,252,150,24,60,12,60,48,64,3,1,42,42,168,6,9,24,48,63,126,168,69,6,8,168,32,
504,48,12,12,12,12,24,24,24,24,48,6,6,6,6,24,6,30,48,48,48,48,112,224,64,14,
168,3,21,7,3,12,63,252,126,12,12,12,3,12,3,12,12,18,12,12,6,12,6,6,12,12,48,
48,6,6,12,12,12,48,6,6,6,12,6,6,6,12,12,48,12,12,48,48,24,24,24,16,32,32,3,3,
3,12,12,24,3,12,12,21,1,42,2,6,6,12,2,6,6,6,12,6,6,6,6,12,6,12,24,3,12,12,12,
12,12,12,12,12,12,24,28,56,16,32,1,6,6,6,6,6,3,3,3,6,3,6,6,6,12,12,12,12,4,8,
8,1,3,3,6,6,1,4,8,3,1,1],[1,25,54,64,21,13,14,24,69,60,150,168,252,12,60,48,
64,1,3,6,42,24,42,63,168,48,9,6,8,69,126,168,32,168,48,504,12,12,12,12,24,24,
24,24,48,6,30,6,6,48,24,48,6,6,48,48,112,224,64,14,168,21,3,7,63,252,3,12,12,
126,12,12,3,12,3,12,12,18,12,12,6,6,48,6,12,12,12,48,6,6,12,12,12,48,6,6,6,12,
6,6,6,12,12,48,12,12,48,48,24,24,24,16,32,32,3,3,3,12,12,24,3,12,12,1,21,42,2,
6,6,12,2,6,6,6,12,6,6,6,6,12,6,12,24,3,12,12,12,12,12,12,12,12,12,24,28,56,16,
32,1,6,6,6,6,6,3,3,3,6,3,6,6,6,12,12,12,12,4,8,8,1,3,3,6,6,1,4,8,3,1,1],[1,21,
34,64,35,3,4,48,21,60,48,36,36,48,96,64,15,4,4,16,9,8,6,18,24,9,12,24,60,12,
36,24,48,12,12,12,24,24,18,18,6,24,48,48,12,12,24,48,72,12,24,80,16,48,64,1,1,
12,3,3,12,3,3,6,6,12,6,12,3,6,12,3,6,3,6,6,12,12,3,6,6,12,12,24,6,9,12,24,12,
12,3,6,6,12,12,24,12,24,18,3,6,12,18,12,12,6,6,24,24,12,12,12,12,12,16,16,16,
32,3,3,6,1,3,3,3,6,4,6,3,6,1,3,6,12,3,6,6,3,6,6,12,2,6,3,9,6,6,6,6,3,3,12,12,
12,6,6,6,6,6,12,6,6,6,12,12,6,6,6,12,12,4,4,12,16,16,16,1,6,3,3,3,3,3,6,3,6,6,
3,3,3,3,6,6,6,6,6,6,6,6,6,6,4,4,4,8,1,3,3,3,3,3,3,1,4,4,4,3,1,1],[1,21,34,64,
3,35,4,21,36,48,48,60,36,48,96,64,15,4,4,6,16,8,9,9,18,24,24,12,60,12,36,12,
12,12,24,48,24,24,12,12,6,24,48,48,18,18,24,48,72,12,24,16,80,48,64,1,1,12,3,
3,12,3,3,6,6,12,6,12,3,12,6,6,3,6,3,6,12,12,3,6,6,12,12,24,9,3,6,6,12,12,12,6,
24,12,12,24,12,24,3,6,12,12,18,18,6,6,24,12,24,12,12,12,12,12,16,16,16,32,3,3,
6,1,3,3,3,6,4,6,3,6,1,3,3,6,6,12,6,3,6,6,12,2,6,3,9,6,6,6,3,6,3,6,12,12,12,6,
6,6,6,12,6,6,6,6,12,6,12,6,12,12,4,4,12,16,16,16,1,6,3,3,3,3,6,3,3,6,6,3,3,3,
3,6,6,6,6,6,6,6,6,6,6,4,4,4,8,1,3,3,3,3,3,3,1,4,4,4,3,1,1],[1,21,82,64,3,35,4,
45,36,48,96,96,156,12,96,48,128,64,15,4,16,18,16,8,9,24,9,30,24,24,12,48,108,
12,36,12,12,12,72,72,192,48,48,24,96,48,18,72,24,18,18,72,48,24,24,12,24,16,
80,48,64,1,1,12,6,3,9,12,3,3,18,18,12,9,6,3,3,6,36,3,6,18,36,9,3,6,48,6,12,24,
12,24,18,72,48,3,18,36,24,48,18,18,6,6,24,36,24,72,48,24,72,12,72,12,12,12,12,
24,24,24,24,32,96,32,16,16,16,32,3,9,18,12,6,1,3,3,3,6,16,18,3,6,12,24,12,1,3,
9,3,6,6,12,12,36,2,6,3,9,18,18,6,3,3,18,6,12,36,6,12,6,6,6,36,6,6,6,6,6,6,12,
12,12,12,12,12,24,4,4,12,16,16,16,1,3,3,6,3,9,9,3,6,6,12,6,6,6,12,3,3,3,3,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,8,8,4,4,4,8,8,3,1,3,3,3,3,3,6,6,6,6,1,4,4,4,3,1,2,1],[
1,21,82,64,35,3,4,96,45,156,48,96,36,12,96,48,128,64,15,16,4,16,9,8,18,24,48,
30,24,9,12,24,108,12,36,72,72,192,12,12,12,48,48,96,24,18,18,18,72,24,48,48,
72,24,12,24,24,80,16,48,64,1,1,12,6,3,9,12,3,3,18,12,18,9,6,3,3,6,36,6,3,18,
36,9,12,24,48,3,6,6,12,24,18,3,18,18,36,24,48,72,18,48,36,6,6,24,24,48,72,24,
12,72,12,72,12,12,12,24,24,24,24,32,32,96,16,16,16,32,3,9,18,12,6,1,3,3,3,6,
12,16,18,3,6,12,24,1,3,9,3,6,6,12,12,36,2,6,3,9,18,18,6,3,18,3,36,6,12,6,12,6,
6,6,36,6,6,6,6,6,6,12,12,12,12,12,12,24,4,4,12,16,16,16,1,3,3,6,3,9,9,3,6,12,
6,6,6,6,12,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,8,8,4,4,4,8,8,3,1,3,3,3,3,3,6,
6,6,6,1,4,4,4,3,1,2,1],[1,29,90,16,7,35,12,57,84,120,144,32,180,28,72,48,16,
80,80,15,12,12,18,48,24,21,8,21,54,72,56,36,16,180,28,84,36,36,36,72,24,144,
48,48,72,96,36,18,72,24,42,18,24,48,72,8,36,24,4,8,16,16,16,48,48,80,16,1,3,
36,2,7,9,36,9,7,18,6,12,9,18,9,9,18,36,9,2,18,36,27,9,18,36,18,12,24,12,24,6,
24,48,9,18,36,24,36,42,42,18,18,72,36,24,24,48,72,24,36,24,36,12,12,12,24,24,
24,24,4,12,8,8,8,16,12,8,16,8,16,16,8,16,16,16,16,16,7,9,6,12,18,3,9,9,9,18,
12,18,9,18,12,24,12,3,9,9,9,18,6,12,4,12,6,18,9,27,18,18,18,9,9,6,6,12,12,6,
12,18,6,6,36,18,18,18,18,18,6,12,12,12,12,12,12,24,4,4,8,12,8,16,12,4,8,8,16,
8,4,4,8,8,8,16,3,1,9,6,9,9,3,3,6,6,4,6,6,6,4,9,3,9,9,18,6,6,18,6,6,6,6,6,6,6,
6,6,6,1,4,4,8,4,4,4,4,4,8,1,3,3,3,3,3,3,6,6,6,6,1,1,1,1,1,1,1,4,3,1,1,1,1,1,1,
1,1],[1,29,90,16,35,7,12,144,57,180,120,32,84,28,72,48,16,80,80,15,12,12,48,
21,24,18,8,16,54,72,21,36,56,180,28,84,72,24,144,36,36,36,48,48,96,72,18,42,
18,24,24,48,36,72,72,36,8,24,4,8,16,16,16,48,48,80,16,1,3,36,2,7,9,36,9,7,6,
12,18,9,18,9,9,18,36,2,9,18,36,27,12,24,36,9,18,18,12,24,42,9,6,18,36,24,48,
24,42,36,36,18,18,72,24,48,24,72,36,24,36,24,12,12,12,24,24,24,24,4,12,8,16,8,
8,12,8,16,8,16,16,8,16,16,16,16,16,7,9,6,12,18,3,9,9,9,18,12,12,18,9,18,12,24,
3,9,9,9,18,6,12,4,12,6,18,9,27,18,18,18,9,6,9,12,6,12,6,12,18,6,6,36,18,18,18,
18,18,6,12,12,12,12,12,12,24,4,8,4,4,8,8,16,12,12,8,16,8,4,4,8,8,8,16,3,1,9,6,
9,9,3,3,6,4,6,6,6,6,4,9,3,9,9,18,6,6,18,6,6,6,6,6,6,6,6,6,6,1,4,4,8,4,4,4,4,4,
8,1,3,3,3,3,3,3,6,6,6,6,1,1,1,1,1,1,1,4,3,1,1,1,1,1,1,1,1],[1,41,102,16,25,49,
14,168,93,324,246,72,48,180,76,60,48,16,80,80,17,3,42,42,168,18,27,72,48,81,
12,24,126,168,93,18,24,216,96,504,144,76,180,60,60,96,48,96,72,120,48,48,96,
192,30,36,30,30,18,24,24,48,90,18,192,24,12,8,16,16,16,48,48,80,16,1,14,168,3,
9,27,7,9,36,63,252,126,36,13,9,6,12,9,36,15,36,48,12,24,12,6,18,6,36,12,12,24,
42,18,24,48,12,24,18,18,36,18,42,24,12,24,24,48,12,18,18,36,36,36,24,48,24,
144,30,30,30,60,36,90,78,30,18,48,48,192,36,36,144,36,24,48,24,192,72,72,12,
20,24,16,20,24,24,16,16,16,16,16,16,16,13,9,9,9,36,36,72,9,15,6,12,48,36,21,3,
42,6,18,18,36,24,14,6,6,6,6,18,18,18,6,36,12,12,6,6,12,24,12,42,18,24,24,48,
12,3,6,6,12,21,6,18,36,12,18,36,12,24,9,12,36,12,6,6,6,6,12,6,18,12,12,12,12,
12,12,24,12,12,12,12,24,24,12,12,24,1,4,8,12,12,20,12,24,24,8,4,4,8,16,1,7,3,
6,12,3,7,3,6,18,6,18,18,18,12,9,3,3,6,6,6,6,6,3,9,12,12,12,12,6,6,6,12,12,6,
12,12,1,3,2,3,4,12,2,4,4,4,8,4,4,1,3,3,3,3,3,3,6,6,6,6,1,3,1,3,1,1,1,2,2,4,3,
1,1,1,1,1,1,1,1],[1,41,102,16,49,25,14,72,93,180,246,168,48,324,76,60,48,16,
80,80,3,17,18,42,72,42,81,168,48,27,12,18,24,93,126,168,96,216,24,144,504,76,
60,180,60,72,120,96,48,96,48,48,192,96,30,36,18,90,18,24,30,30,24,48,192,24,
12,8,16,16,16,48,48,80,16,1,14,168,3,27,9,7,63,252,9,36,36,126,13,9,6,12,9,36,
15,48,36,12,24,12,6,6,18,12,36,12,24,18,18,18,36,18,42,42,12,24,24,12,24,24,
48,24,48,78,12,24,48,18,18,36,36,36,24,144,30,18,30,60,36,30,90,30,36,36,36,
144,48,48,192,24,24,48,192,72,72,12,20,24,16,20,24,24,16,16,16,16,16,16,16,13,
9,9,9,36,36,72,9,15,6,12,36,48,3,21,42,6,18,18,36,6,14,6,42,18,18,6,6,6,18,12,
36,12,6,6,12,24,18,12,24,24,48,24,12,3,6,6,12,21,18,6,12,36,18,36,12,24,9,12,
36,12,6,6,6,6,12,6,18,12,12,12,24,12,12,12,12,12,12,12,24,24,12,12,24,1,4,8,
12,12,24,20,12,24,8,4,4,8,16,1,7,3,6,12,3,7,3,6,6,18,18,18,18,12,9,3,3,6,6,6,
6,6,3,9,12,12,12,12,6,6,6,12,12,6,12,12,1,3,2,3,4,12,2,4,4,4,8,4,4,1,3,3,3,3,
3,3,6,6,6,6,1,1,3,3,1,1,1,2,2,4,3,1,1,1,1,1,1,1,1],[1,41,102,16,41,41,6,72,69,
228,222,72,112,228,76,60,48,16,80,80,15,15,18,18,72,18,39,72,39,28,56,18,24,
69,18,24,128,128,56,144,144,76,156,156,84,48,48,96,48,48,96,48,48,96,144,96,
42,84,18,78,6,24,24,48,78,18,24,48,144,56,4,4,4,16,16,16,48,48,80,16,1,1,7,7,
13,13,3,9,36,9,36,36,36,13,13,21,21,28,6,12,6,12,3,12,21,24,24,12,24,12,24,12,
12,12,12,24,14,14,42,6,6,12,12,12,24,18,12,24,18,18,18,12,24,18,18,24,24,12,
24,12,24,24,78,12,24,48,12,6,6,12,12,12,24,48,24,48,42,42,18,42,84,84,78,78,
78,18,84,24,24,96,24,24,96,84,24,48,24,24,24,48,144,56,168,168,168,4,4,12,12,
4,8,4,8,8,8,12,12,4,8,8,8,8,16,16,8,16,16,16,16,16,13,13,3,3,3,12,12,24,21,21,
21,28,6,12,6,12,24,24,3,3,6,6,6,6,18,6,6,6,6,6,6,12,12,12,6,6,12,24,6,6,12,24,
12,18,12,12,12,24,24,12,12,12,3,6,6,12,9,3,6,6,12,9,6,6,12,12,3,28,84,84,84,
12,12,12,6,6,6,6,12,6,6,6,6,12,12,12,12,6,6,6,42,42,42,84,56,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,24,24,24,12,24,24,24,12,12,
24,12,12,24,24,24,4,4,4,4,4,4,4,8,4,8,12,12,12,4,8,12,4,8,4,8,8,8,8,4,4,4,4,4,
4,8,8,8,16,7,7,21,3,3,3,6,3,6,6,6,3,3,6,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,3,3,
3,3,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,28,6,6,6,12,12,12,12,24,6,
6,6,12,12,12,12,24,12,12,12,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,1,6,
6,6,6,3,3,3,3,3,3,6,6,6,6,12,12,1,1,1,1,1,1,1,4,4,4,3,1,1,1,1,1,1,1,1],[1,29,
42,35,35,21,84,84,112,84,28,64,15,15,21,21,28,56,21,56,56,56,28,84,84,84,42,
84,42,42,56,64,1,1,7,7,7,7,7,7,21,21,28,21,14,14,42,42,42,42,42,84,84,42,42,
42,84,84,56,168,168,168,7,7,21,21,21,28,28,84,84,84,42,42,42,84,56,8,8,7,7,21,
28,8,8,1,1],[1,29,42,49,7,14,63,126,168,252,28,64,17,42,42,63,168,48,63,126,
168,168,504,28,84,42,64,1,14,168,21,7,63,252,126,7,42,42,42,42,7,21,42,14,42,
21,24,48,1,7,7,8,1,1,1],[1,29,42,7,49,14,168,63,252,126,28,64,17,42,42,168,48,
63,126,168,63,168,504,28,84,42,64,1,14,168,21,7,63,252,126,7,42,42,42,42,7,21,
42,14,42,21,24,48,1,7,7,8,1,1,1],[1,15,60,160,35,20,60,90,90,96,160,15,15,60,
180,45,60,96,200,80,240,1,5,15,15,45,45,45,120,15,15,45,10,20,60,16,48,5,6,10,
6,5,1],[1,15,60,160,35,20,60,90,90,96,160,15,15,60,180,45,60,96,80,200,240,1,
5,15,15,45,45,45,120,15,15,45,10,20,60,16,48,5,6,10,6,5,1],[1,15,60,40,35,40,
90,90,96,80,120,15,15,10,30,180,45,30,10,96,10,40,40,40,40,1,45,30,45,30,20,
30,40,40,40,15,5,15,10,10,10,16,5,6,5,10,6,5,1],[1,15,60,40,35,90,40,90,96,80,
120,15,15,10,30,180,30,45,10,96,10,40,40,40,40,1,45,30,45,30,20,30,40,40,40,
15,5,15,10,10,10,16,5,6,5,10,6,5,1],[1,15,20,16,35,30,30,120,16,80,15,5,60,15,
60,60,16,20,80,16,1,15,30,15,30,48,20,16,5,15,15,1,20,16,15,1,5,1,5,1,3,1,1],[
1,15,20,16,35,30,30,120,16,80,15,5,60,60,15,60,16,20,80,16,1,30,15,15,30,48,
20,16,5,15,15,1,20,16,15,1,5,1,5,1,3,1,1],[1,24,63,29,56,7,7,63,63,63,21,63,
29,105,168,105,8,21,21,21,63,63,63,63,28,7,7,14,14,7,7,21,21,21,105,21,24,63,
28,56,8,16,8,7,7,21,21,42,42,21,21,7,7,21,21,21,21,21,7,7,28,8,24,21,21,21,8,
7,7,7,7,7,7,8,7,7,1,3,1,1],[1,49,142,53,53,26,216,149,420,362,216,176,420,124,
116,144,17,17,54,78,216,54,93,216,48,48,93,44,72,138,184,149,138,184,264,264,
72,600,600,124,244,244,148,184,104,216,184,104,216,144,144,224,400,224,74,132,
50,122,42,88,72,112,122,50,88,112,400,24,24,88,16,1,1,14,168,14,168,9,9,31,31,
13,69,276,69,276,150,150,17,17,27,27,28,22,28,22,28,21,84,37,92,92,6,6,26,52,
26,52,44,44,20,20,40,18,18,6,6,42,34,34,68,68,36,72,30,66,30,40,80,38,76,30,
54,66,38,76,30,54,52,52,28,56,28,56,40,80,40,80,40,40,80,102,26,88,112,26,42,
42,84,84,84,72,112,88,336,42,74,50,74,148,132,122,102,122,50,108,92,92,368,92,
92,368,108,56,112,88,56,88,112,400,56,216,72,264,72,216,72,72,8,8,8,16,16,16,
16,17,17,21,21,21,84,84,168,27,27,37,28,22,28,22,28,92,92,23,23,42,42,10,30,
30,60,10,30,30,60,40,22,22,10,10,54,34,34,34,34,34,34,68,68,36,22,22,28,56,22,
22,28,56,38,54,38,20,20,52,52,40,80,40,80,40,6,6,26,26,20,11,22,14,28,27,11,
22,14,28,27,34,34,68,68,30,60,30,60,20,40,20,40,21,12,12,44,36,108,36,108,84,
12,36,12,36,18,18,18,18,44,44,20,22,22,22,22,44,22,22,22,22,44,20,20,20,36,36,
18,22,18,22,10,54,18,18,54,42,84,56,24,28,28,28,12,12,40,24,36,36,36,28,28,28,
12,12,20,20,20,12,12,24,24,12,24,12,24,24,40,36,36,44,44,20,4,4,4,4,44,44,44,
44,44,44,52,52,36,36,52,52,20,40,40,40,36,44,44,36,52,44,44,52,40,40,4,8,8,8,
8,8,8,8,8,8,16,1,1,2,6,2,6,7,7,5,10,20,5,10,20,3,9,9,3,21,9,9,11,14,11,14,34,
34,30,30,30,30,30,30,20,20,6,6,6,18,6,18,6,15,15,11,11,22,11,11,22,18,18,10,
10,3,3,3,3,10,10,10,10,10,10,6,6,12,10,14,14,14,14,14,14,10,6,6,12,9,11,5,11,
9,21,4,12,4,20,20,20,20,20,28,28,28,36,28,28,28,12,12,12,12,12,12,12,12,12,4,
12,4,12,20,20,20,20,28,10,10,10,10,6,6,6,6,12,12,2,18,18,36,18,18,36,2,2,22,
18,22,18,10,18,26,18,26,44,44,40,22,18,22,18,10,36,36,44,44,44,44,36,36,40,4,
4,4,4,36,36,36,36,4,4,4,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,20,20,
20,4,4,4,4,4,4,4,4,8,8,1,1,5,5,1,5,5,1,3,1,3,10,10,10,10,6,18,6,18,2,6,2,6,5,
5,5,3,3,6,6,6,3,3,6,6,6,3,5,3,5,3,3,5,5,5,5,6,6,6,6,5,11,9,11,9,1,9,6,6,6,10,
6,10,6,6,10,10,6,6,6,6,10,10,12,12,2,2,2,2,18,18,14,10,10,6,6,14,2,2,2,2,4,2,
2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,20,20,4,4,4,4,4,4,4,4,4,1,1,1,1,1,3,3,3,3,1,5,
3,5,3,3,3,3,3,5,1,3,3,3,3,1,1,1,1,1,1,1,1,1,1,1,6,6,6,6,2,2,2,2,2,2,2,2,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1],[1,45,42,80,32,7,105,14,168,63,252,126,84,64,144,
96,45,42,42,168,48,63,126,168,63,168,504,84,252,126,64,12,112,224,8,8,24,8,48,
16,32,48,3,14,168,21,7,63,252,126,21,126,126,126,126,64,112,36,24,24,24,24,24,
48,48,21,21,42,42,126,63,16,32,28,1,2,56,12,8,8,24,8,12,12,1,21,21,16,28,3,6,
6,12,3,4,8,1,1,2,3,3,4,1,3,1,1],[1,45,42,80,32,105,7,14,63,126,168,252,84,64,
144,96,45,42,42,63,168,48,63,126,168,168,504,84,252,126,64,112,12,8,8,8,224,
24,16,48,32,48,3,14,168,21,7,63,252,126,21,126,126,126,126,64,112,36,24,24,24,
24,24,48,48,21,21,42,42,126,63,16,32,1,28,2,56,12,8,8,24,8,12,12,1,21,21,16,
28,3,6,6,12,3,4,8,1,1,2,3,3,4,1,3,1,1],[1,33,78,80,32,21,25,14,72,81,180,198,
168,252,36,36,16,48,240,96,3,3,18,42,72,42,63,168,48,27,18,24,81,126,168,96,
168,144,504,36,36,36,36,72,72,72,72,144,18,18,18,18,18,18,144,64,112,12,8,8,8,
224,24,16,32,48,48,14,168,21,9,7,63,252,9,36,36,126,9,36,9,36,36,18,36,18,18,
18,36,18,18,36,36,36,144,18,18,18,36,18,18,18,36,36,144,36,36,144,144,64,12,
12,24,12,48,24,24,24,96,24,24,96,48,16,9,9,9,36,36,72,9,36,36,3,21,42,6,18,18,
36,6,18,18,18,36,18,18,36,18,36,9,16,32,1,28,2,56,8,8,24,8,12,12,24,12,24,1,
18,18,18,18,9,9,16,1,3,12,3,6,12,24,24,3,4,8,1,1,2,3,3,4,3,1,1,1],[1,33,78,80,
32,25,21,14,168,81,252,198,72,180,36,36,16,48,240,96,3,3,42,42,168,18,27,72,
48,63,126,168,81,18,24,168,96,504,144,36,36,36,36,72,72,72,72,144,18,18,18,18,
18,18,144,64,12,112,224,8,8,24,8,16,32,48,48,14,168,9,21,7,9,36,63,252,126,36,
9,36,9,36,36,18,36,18,18,18,36,18,18,36,36,36,144,18,18,18,36,18,18,18,36,36,
144,36,36,144,144,64,12,12,24,48,12,96,24,96,24,24,24,24,48,16,9,9,9,36,36,72,
9,36,36,21,3,42,6,18,18,36,6,18,18,18,36,18,18,36,18,36,9,16,32,28,1,2,56,8,8,
24,8,12,12,12,24,24,1,18,18,18,18,9,9,16,1,3,3,12,6,12,24,24,3,4,8,1,1,2,3,3,
4,3,1,1,1],[1,21,114,80,32,21,7,14,99,126,168,144,324,36,72,144,288,192,48,96,
3,42,42,81,168,48,36,63,126,168,168,72,504,36,72,36,72,144,72,144,144,288,36,
18,72,36,72,144,64,112,12,8,8,8,224,24,16,32,48,96,48,96,14,168,9,21,7,63,252,
126,9,18,36,18,36,72,18,36,36,36,72,72,144,72,144,18,36,72,144,72,18,36,36,36,
72,72,144,64,24,48,96,48,48,48,192,48,12,24,24,24,24,24,48,48,96,9,18,36,21,
42,18,36,18,36,72,36,72,144,72,9,18,18,36,36,72,16,32,1,28,2,56,8,8,24,8,12,
12,24,24,24,24,12,24,24,24,24,1,9,18,36,9,18,36,16,32,6,12,24,48,12,3,6,12,24,
24,24,24,9,4,8,1,1,2,3,6,3,6,4,8,3,3,6,1,1],[1,21,114,80,32,7,21,14,168,99,
324,126,144,36,72,144,288,192,48,96,3,42,42,168,48,81,36,72,126,168,63,168,
504,72,36,36,72,144,72,144,144,288,36,36,72,72,144,18,64,12,112,224,8,8,24,8,
16,32,48,96,48,96,14,168,9,21,7,63,252,126,9,18,36,18,36,72,72,144,36,18,36,
36,72,72,144,36,72,144,72,18,36,18,36,36,72,144,72,64,48,24,96,48,48,192,48,
48,12,24,24,24,24,24,48,48,96,9,18,36,21,42,72,18,36,18,36,72,36,72,144,9,18,
18,36,36,72,16,32,28,1,2,56,8,8,24,8,12,12,24,24,24,24,12,24,24,24,24,1,9,18,
36,9,18,36,16,32,12,24,6,48,12,3,6,12,24,24,24,24,9,4,8,1,1,2,3,6,3,6,4,8,3,3,
6,1,1],[1,27,96,8,32,35,6,36,18,162,108,72,72,24,90,72,8,72,128,72,96,15,15,
36,18,18,18,36,48,36,24,72,54,180,36,36,36,72,72,72,36,54,36,45,72,18,36,16,2,
40,24,8,24,72,24,72,96,24,1,6,9,6,18,9,18,18,36,45,9,18,18,36,9,36,54,36,45,
18,18,72,72,54,18,36,36,16,32,32,2,6,12,96,6,12,24,8,24,24,24,24,24,24,6,18,
18,15,9,18,9,9,27,9,18,9,18,18,18,18,18,8,16,16,16,2,2,6,6,12,6,6,12,24,6,6,
24,9,9,9,9,9,9,9,8,8,8,16,8,2,6,6,6,6,6,6,6,9,1,8,6,6,1,2,2,1,1,1,1],[1,27,96,
8,32,6,35,18,72,108,36,72,162,24,90,72,8,72,128,72,96,15,15,36,18,18,48,36,18,
36,24,72,36,36,36,54,180,72,72,72,45,36,54,36,72,18,36,16,2,40,8,24,24,24,72,
72,96,24,1,6,9,6,18,9,18,9,18,45,18,18,36,54,36,9,45,36,36,18,18,72,72,54,18,
36,36,16,32,32,2,6,12,96,6,24,12,24,8,24,24,24,24,24,6,18,15,9,18,18,9,9,9,18,
27,9,18,18,18,18,18,8,16,16,16,2,2,6,6,6,6,12,12,24,6,6,24,9,9,9,9,9,9,9,8,8,
8,16,8,2,6,6,6,6,6,6,6,9,1,8,6,6,1,2,2,1,1,1,1],[1,15,84,32,80,35,4,12,72,126,
126,72,192,288,96,48,15,21,12,18,54,252,72,72,63,54,36,18,12,36,64,8,4,16,100,
16,48,32,16,96,48,96,48,1,1,3,3,9,63,18,36,54,63,36,54,18,36,36,64,48,48,24,
216,48,48,24,12,12,12,96,48,3,21,18,9,9,9,27,18,9,18,18,32,16,5,4,1,8,4,4,12,
24,12,12,24,12,12,12,12,12,1,9,9,9,9,9,9,32,16,18,6,12,3,3,24,12,12,12,12,9,4,
4,1,1,1,1,3,3,3,3,4,4,3,3,3,3,1,1],[1,15,84,32,80,35,4,12,126,72,126,72,192,
288,96,48,15,21,18,12,54,252,72,72,54,36,63,12,18,36,64,8,16,100,16,48,4,32,
16,96,48,96,48,1,1,3,3,9,18,63,36,54,63,36,54,18,36,36,64,48,48,48,48,24,216,
24,12,12,12,96,48,3,21,18,9,9,27,9,18,9,18,18,32,16,5,4,1,8,4,4,12,24,12,12,
24,12,12,12,12,12,1,9,9,9,9,9,9,32,16,18,6,12,3,3,24,12,12,12,12,9,4,4,1,1,1,
1,3,3,3,3,4,4,3,3,3,3,1,1],[1,21,42,64,21,7,14,63,126,168,252,64,3,42,42,63,
168,48,63,126,168,168,504,112,224,14,168,21,7,63,252,126,64,21,42,28,56,24,48,
1,1,1,1],[1,21,42,64,7,21,14,168,63,252,126,64,3,42,42,168,48,63,126,168,63,
168,504,112,224,14,168,21,7,63,252,126,64,21,42,28,56,24,48,1,1,1,1],[1,21,42,
112,7,21,14,168,63,252,126,336,64,3,42,42,168,48,63,126,168,63,168,504,84,56,
112,14,168,21,7,63,252,126,64,84,168,168,21,42,7,56,84,24,48,1,21,24,7,1,1],[
1,21,42,112,21,7,14,63,126,168,252,336,64,3,42,42,63,168,48,63,126,168,168,
504,84,56,112,14,168,21,7,63,252,126,64,84,168,168,21,42,7,56,84,24,48,1,21,
24,7,1,1],[1,21,42,112,21,7,14,63,126,168,252,336,64,3,42,42,63,168,48,63,126,
168,168,504,28,28,84,112,14,168,21,7,63,252,126,64,84,84,84,168,21,42,7,28,28,
84,24,48,1,21,24,7,1,1],[1,21,42,112,7,21,14,168,63,252,126,336,64,3,42,42,
168,48,63,126,168,63,168,504,28,28,84,112,14,168,21,7,63,252,126,64,84,84,84,
168,21,42,7,28,28,84,24,48,1,21,24,7,1,1],[1,49,42,112,49,21,14,63,126,28,126,
84,112,112,112,64,1,7,42,7,63,126,42,126,84,84,21,63,42,21,14,84,28,56,28,112,
7,21,42,21,63,42,21,21,63,42,64,28,84,28,28,28,28,56,28,28,28,56,7,21,21,7,21,
21,21,7,28,28,28,8,21,7,7,7,7,8,8,8,7,7,1],[1,7,84,112,7,28,84,56,126,42,168,
224,112,64,1,21,84,14,42,84,168,168,21,42,84,14,28,112,56,112,7,21,42,84,42,
21,84,42,64,56,56,56,112,28,56,56,7,42,7,21,42,7,56,28,8,21,14,7,7,16,8,7,7,
1],[1,49,42,112,21,49,14,63,126,28,126,84,112,112,112,64,7,1,42,7,63,126,126,
42,84,84,21,21,42,63,14,28,84,56,28,112,7,21,42,63,21,42,21,63,21,42,64,84,28,
28,28,28,28,56,28,28,28,56,21,7,21,7,21,21,21,7,28,28,28,8,21,7,7,7,7,8,8,8,7,
7,1],[1,7,84,112,7,28,84,126,56,42,168,224,112,64,1,21,14,84,42,84,168,168,42,
84,21,14,28,112,56,112,7,21,42,84,42,21,84,42,64,56,56,56,112,28,56,56,7,42,7,
21,42,7,28,56,8,21,14,7,7,16,8,7,7,1],[1,57,150,64,25,109,26,312,153,612,378,
168,144,252,156,108,144,64,192,192,45,3,78,78,312,42,63,168,48,48,117,36,72,
162,216,153,126,168,360,168,792,504,156,468,108,108,216,216,216,216,216,144,
144,288,432,54,108,54,54,54,216,72,144,234,54,432,72,72,112,224,64,192,192,3,
14,168,14,168,9,21,39,13,63,252,81,324,198,126,39,27,54,36,27,108,27,108,108,
18,54,108,108,18,18,18,54,36,108,36,72,54,162,18,72,144,54,108,18,18,36,54,
162,108,36,72,72,144,54,54,54,108,108,108,72,144,216,432,54,54,54,108,108,234,
234,54,54,108,108,432,108,108,432,108,72,144,216,432,216,216,216,216,112,48,
96,192,48,96,96,64,39,27,27,27,108,108,216,27,27,54,36,108,108,27,21,42,42,18,
54,54,108,6,18,18,36,72,54,6,18,54,54,18,18,18,54,36,108,36,54,54,36,72,54,
162,18,108,72,144,18,54,27,54,18,36,81,54,18,36,108,18,36,54,108,36,72,27,36,
36,108,108,36,108,54,54,108,54,54,54,54,108,108,54,54,54,54,24,36,36,36,36,36,
36,36,72,36,72,72,72,108,108,108,108,108,108,108,108,108,108,108,108,28,56,32,
48,48,96,48,96,1,1,6,18,21,9,18,36,9,9,27,27,18,18,54,18,18,18,54,54,54,36,18,
18,54,6,9,27,27,27,54,54,18,18,36,18,18,18,18,27,27,27,36,36,36,36,36,36,36,
36,18,18,36,54,54,108,54,54,54,54,108,54,54,108,108,108,108,108,108,28,12,24,
48,12,48,24,24,3,9,3,9,18,54,9,9,9,9,18,27,27,9,18,18,18,18,36,54,18,18,1,4,
12,12,24,24,3,1,3,9,9,9,9,1,3,3,4,3,1,3,3,1],[1,57,150,64,109,25,26,168,153,
252,378,312,144,612,156,108,144,64,192,192,3,45,42,78,168,78,117,312,48,48,63,
36,126,168,153,162,216,168,360,72,504,792,156,108,468,108,216,216,216,216,216,
144,144,432,288,54,108,54,234,54,72,54,54,216,144,432,72,72,112,224,64,192,
192,3,14,168,14,168,9,39,21,13,81,324,63,252,126,198,39,27,54,36,27,108,27,
108,108,18,54,108,108,18,18,54,18,108,36,36,72,18,18,54,18,36,54,162,162,54,
108,108,36,72,72,144,72,144,234,54,216,144,54,54,108,108,108,72,432,54,54,54,
108,108,54,234,54,108,108,108,432,108,108,432,72,216,144,432,216,216,216,216,
112,48,96,192,48,96,96,64,39,27,27,27,108,108,216,27,27,54,36,108,108,21,27,
42,42,6,18,18,36,18,54,54,108,6,54,18,162,18,18,54,54,54,18,108,36,36,54,54,
36,72,18,54,108,72,144,72,18,54,27,54,18,36,81,18,54,108,36,54,108,18,36,36,
72,27,36,36,108,108,36,108,54,54,108,54,54,54,54,108,108,54,54,54,54,24,36,36,
36,36,72,72,36,36,36,36,72,72,108,108,108,108,108,108,108,108,108,108,108,108,
28,56,32,48,48,48,96,96,1,1,6,18,21,9,18,36,9,9,27,27,18,54,18,54,54,54,18,18,
18,36,18,18,54,6,27,9,27,27,54,54,18,18,18,18,18,18,36,27,27,27,36,36,36,36,
36,36,36,36,18,18,36,54,54,108,54,54,54,54,108,54,54,108,108,108,108,108,108,
28,12,24,48,12,48,24,24,3,9,9,3,18,54,9,9,9,9,18,27,27,9,18,18,18,18,36,54,18,
18,1,4,12,12,24,24,3,1,3,9,9,9,9,1,3,3,4,3,1,3,3,1],[1,57,150,64,77,33,50,168,
225,252,450,504,48,756,156,108,144,64,192,192,3,21,42,150,168,126,189,504,48,
144,63,12,126,168,225,378,504,168,504,24,504,1512,156,108,324,108,216,216,216,
72,216,144,144,432,288,54,36,54,162,54,72,54,54,72,144,432,24,24,48,16,32,48,
64,192,192,1,14,168,42,504,3,63,21,25,189,756,63,252,126,378,21,9,18,36,27,
108,27,108,108,6,18,36,36,6,6,54,54,108,108,36,72,54,54,54,54,108,18,126,162,
54,108,36,36,72,72,144,72,144,126,18,72,144,54,54,108,108,108,72,432,54,54,54,
108,36,54,162,54,36,108,108,432,108,108,432,72,72,144,432,72,72,72,72,16,48,
48,48,48,48,96,96,48,48,48,96,96,96,64,96,96,21,27,27,27,108,108,216,9,27,18,
36,108,108,21,63,42,126,18,54,54,108,18,54,54,108,18,54,6,126,54,54,54,54,54,
54,108,108,36,18,18,36,72,54,54,36,72,144,72,6,18,9,18,18,36,63,54,54,108,108,
54,108,54,108,36,72,27,12,12,36,36,12,36,18,18,36,18,18,18,18,36,36,18,18,18,
18,72,36,36,36,36,72,72,36,36,36,36,72,72,36,36,36,36,36,36,36,36,36,36,36,36,
4,16,32,48,48,48,48,48,96,48,48,96,48,96,96,96,96,3,1,2,6,21,9,18,36,3,3,21,9,
18,54,54,54,54,54,54,54,54,36,6,6,18,18,27,27,9,9,18,18,18,18,18,18,18,18,36,
9,9,27,36,36,36,36,36,36,36,36,18,18,36,18,18,36,18,18,18,18,36,18,18,36,36,
36,36,36,36,4,12,12,12,12,16,48,48,3,9,9,9,6,18,9,9,9,9,18,9,9,27,18,18,18,18,
36,18,18,18,4,8,24,12,12,12,12,12,12,12,12,24,1,3,3,9,9,9,9,4,12,12,3,1,1],[1,
57,150,64,33,77,50,504,225,756,450,168,48,252,156,108,144,64,192,192,21,3,126,
150,504,42,63,168,144,48,189,12,24,378,504,225,126,168,504,168,1512,504,156,
324,108,108,216,72,216,216,216,144,144,288,432,54,36,54,54,54,72,72,144,162,
54,432,24,24,16,48,32,48,64,192,192,1,42,504,14,168,3,21,63,25,63,252,189,756,
378,126,21,9,18,36,27,108,27,108,108,6,18,36,36,6,6,54,54,108,108,36,72,54,
162,54,72,144,54,108,54,54,108,18,126,36,36,72,72,144,18,54,54,108,108,108,72,
144,72,432,54,54,54,108,36,162,126,54,54,108,108,432,108,108,432,36,72,144,72,
432,72,72,72,72,48,16,48,48,48,96,48,96,48,48,48,96,96,96,64,96,96,21,27,27,
27,108,108,216,9,27,18,36,108,108,63,21,126,42,18,54,54,108,18,54,54,108,72,
54,18,6,54,54,54,54,54,54,108,108,36,18,18,36,72,54,126,54,36,72,144,6,18,9,
18,18,36,63,54,54,108,108,54,108,54,108,36,72,27,12,12,36,36,12,36,18,18,36,
18,18,18,18,36,36,18,18,18,18,72,36,36,36,36,36,36,36,72,36,72,72,72,36,36,36,
36,36,36,36,36,36,36,36,36,4,16,32,48,48,48,96,48,96,48,48,48,48,96,96,96,96,
1,3,2,6,21,9,18,36,3,3,21,9,18,54,54,54,54,54,54,54,54,36,6,6,18,18,27,27,9,9,
18,18,18,18,36,18,18,18,18,9,9,27,36,36,36,36,36,36,36,36,18,18,36,18,18,36,
18,18,18,18,36,18,18,36,36,36,36,36,36,4,12,12,12,12,16,48,48,3,9,9,9,6,18,9,
9,9,9,18,9,9,27,18,18,18,18,36,18,18,18,4,8,24,12,12,12,12,12,12,12,12,24,1,3,
3,9,9,9,9,4,12,12,3,1,1],[1,57,150,64,41,105,14,168,117,468,342,72,336,324,
156,108,144,64,192,192,45,15,42,42,168,18,63,72,48,117,84,168,126,168,117,18,
24,312,192,168,504,144,156,468,252,252,144,144,144,72,72,216,144,144,288,288,
288,126,252,54,126,18,72,72,144,234,18,72,144,288,24,168,112,224,64,192,192,3,
1,14,168,21,21,21,39,7,9,36,63,252,126,36,21,39,63,63,84,18,36,18,36,9,36,63,
36,72,6,18,36,36,72,36,36,36,36,72,42,42,6,126,18,18,36,36,36,72,126,18,72,
144,36,72,18,18,18,18,36,54,126,36,72,36,72,36,72,72,144,72,126,18,72,144,36,
18,18,36,36,36,72,144,72,144,126,126,54,126,252,252,234,234,126,18,252,72,72,
288,36,36,144,252,72,144,72,72,72,144,288,168,504,72,504,504,72,112,48,96,192,
48,96,96,64,21,39,9,9,9,36,36,72,63,63,63,84,18,36,18,36,72,36,21,3,42,6,18,
18,36,72,42,6,18,6,18,18,18,18,18,18,18,36,36,36,18,18,36,72,18,18,36,72,36,
126,18,36,36,72,36,72,144,6,36,18,36,9,18,18,36,63,9,18,18,36,9,18,18,36,36,
18,36,36,72,9,12,84,36,252,252,252,12,36,18,18,36,36,36,18,18,18,18,36,18,18,
18,18,36,36,36,36,36,18,18,18,18,126,18,126,126,252,168,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,72,36,36,36,36,36,36,36,36,36,36,72,72,36,36,36,36,72,72,
72,36,36,36,72,36,36,36,72,72,28,56,16,48,48,96,96,1,2,6,21,9,18,36,21,21,3,
63,3,21,9,18,9,18,18,18,18,18,18,36,6,6,18,9,9,9,18,9,9,18,18,18,18,9,9,18,18,
18,18,18,18,18,18,18,18,18,18,18,9,9,9,9,9,12,36,36,36,36,36,36,36,36,36,36,
36,36,36,12,36,36,36,36,36,84,18,18,18,18,18,18,36,18,18,18,18,18,18,36,36,36,
72,18,18,18,18,36,36,36,36,36,36,72,36,36,36,36,36,28,12,24,48,12,16,24,24,3,
9,3,3,3,9,18,18,18,18,6,18,6,18,9,9,9,9,9,18,18,18,9,9,9,9,18,9,9,9,9,18,18,
18,18,18,18,18,18,18,18,18,18,36,36,1,8,12,12,12,24,24,1,9,9,9,9,9,9,18,18,1,
3,3,12,3,1,3,3,1],[1,57,150,64,105,41,14,72,117,324,342,168,336,468,156,108,
144,64,192,192,15,45,18,42,72,42,117,168,48,63,84,168,18,24,117,126,168,192,
312,168,144,504,156,252,468,252,72,72,216,144,144,144,144,144,288,288,288,126,
252,18,234,18,72,72,144,126,54,72,144,288,24,168,112,224,64,192,192,1,3,14,
168,21,21,39,21,7,63,252,9,36,36,126,39,21,63,63,84,18,36,18,36,9,36,63,72,36,
6,36,72,18,36,36,36,36,36,72,42,42,6,126,18,18,36,36,36,72,18,18,18,36,54,126,
126,36,72,18,18,72,36,36,72,36,72,72,144,72,72,144,234,36,72,144,18,18,18,36,
36,36,72,144,72,144,126,126,18,126,252,252,126,126,234,54,252,36,36,144,72,72,
288,252,72,144,72,72,72,144,288,168,504,504,72,504,72,112,48,96,192,48,96,96,
64,39,21,9,9,9,36,36,72,63,63,63,84,18,36,18,36,36,72,3,21,42,6,18,18,36,6,42,
6,18,126,18,18,18,18,18,18,36,36,36,18,18,36,72,18,18,36,72,18,18,36,36,36,36,
72,72,144,72,6,18,36,36,9,18,18,36,9,9,18,18,36,63,18,18,36,36,18,36,36,72,9,
12,84,252,36,252,252,12,36,18,18,36,36,36,18,18,18,18,36,18,18,18,18,36,36,36,
36,36,18,18,18,18,126,18,126,126,252,168,36,36,36,36,72,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,72,72,36,72,72,72,36,36,36,36,
36,36,72,72,72,28,56,16,48,48,96,96,1,2,6,21,9,18,36,3,21,21,63,21,3,9,18,9,
18,18,18,18,18,18,36,6,6,18,9,9,9,18,9,9,18,18,18,18,9,9,18,18,18,18,18,18,18,
18,18,18,18,18,18,9,9,9,9,9,12,36,36,36,36,36,36,36,36,36,36,36,36,36,12,36,
36,36,36,36,84,18,18,18,18,18,18,36,18,18,18,18,18,36,18,36,36,72,18,18,18,18,
36,36,36,36,36,36,72,36,36,36,36,36,28,12,24,48,12,16,24,24,3,9,3,3,3,9,18,18,
18,18,6,18,6,18,9,9,9,9,9,18,18,18,9,9,9,9,18,9,9,9,9,18,18,18,18,18,18,18,18,
18,18,18,18,36,36,1,8,12,12,12,24,24,1,9,9,9,9,9,9,18,18,1,3,3,12,3,1,3,3,1],[
1,33,126,64,41,21,14,216,105,348,198,72,144,180,60,132,144,128,192,3,15,54,42,
168,18,27,72,48,75,36,48,138,168,81,18,24,168,96,24,552,144,36,84,132,60,144,
120,240,120,72,72,96,96,288,192,18,60,42,54,30,96,72,96,30,54,120,48,192,24,
24,24,48,48,16,32,48,64,64,64,1,14,168,6,3,9,21,7,9,36,69,252,126,36,9,9,6,24,
24,30,12,15,36,9,36,48,6,6,18,36,6,12,60,24,24,6,6,6,30,18,60,12,36,48,12,6,
18,48,96,24,54,18,18,18,36,12,12,36,36,12,24,72,48,96,48,24,48,54,18,72,30,30,
30,60,36,36,48,96,96,192,30,18,18,36,60,18,12,54,54,36,48,72,144,36,36,192,24,
72,96,96,72,144,72,72,72,72,72,72,24,24,24,48,48,48,48,32,32,32,64,48,48,48,
96,96,96,96,96,64,9,9,15,9,36,48,72,9,6,9,18,24,24,36,36,21,3,42,12,12,6,18,
18,36,48,6,18,18,12,18,30,18,36,12,24,18,18,12,18,36,48,6,18,12,24,36,48,96,6,
6,6,18,6,12,12,24,15,18,6,9,6,18,36,18,36,12,24,48,24,9,12,12,12,36,36,36,12,
36,18,18,6,6,36,6,6,12,30,18,30,18,36,12,12,12,36,6,18,18,18,18,18,12,36,24,
12,12,12,12,12,12,12,24,12,24,24,36,12,36,12,12,12,12,36,60,36,24,12,12,12,24,
36,36,36,24,24,12,12,36,36,36,36,12,24,24,24,24,24,24,24,24,24,48,4,16,32,48,
48,16,16,16,32,16,16,16,32,32,96,96,32,1,2,6,6,12,24,6,3,3,3,3,9,6,12,18,18,
18,18,6,24,6,6,18,9,6,9,15,18,6,18,6,9,3,6,6,6,6,12,6,6,9,9,3,9,12,12,12,12,
12,12,12,12,12,12,12,12,6,6,12,6,18,18,36,6,6,18,18,6,12,18,18,36,12,6,18,18,
12,12,36,36,36,36,12,12,12,12,36,36,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,8,12,12,12,16,16,16,32,32,6,3,3,3,6,6,18,3,3,6,3,3,6,9,9,3,
3,6,6,6,12,6,6,18,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,4,8,24,4,4,4,
12,12,4,4,4,24,1,3,3,3,3,3,3,6,6,6,6,4,4,4,8,8,3,1,1],[1,33,126,64,21,41,14,
72,105,180,198,216,144,348,60,132,144,128,192,15,3,18,42,72,54,75,168,48,27,
36,24,18,24,81,138,168,96,168,48,144,552,36,132,84,60,120,72,72,144,120,240,
96,96,192,288,18,60,54,30,30,120,72,48,54,42,96,96,192,24,24,24,48,16,48,32,
48,64,64,64,1,14,168,3,6,21,9,7,69,252,9,36,36,126,9,6,9,30,12,24,24,15,36,9,
48,36,6,6,6,12,18,36,24,60,24,6,6,6,18,30,12,60,36,48,18,18,12,48,18,36,12,12,
6,24,54,18,36,36,24,72,12,48,48,96,24,48,96,12,30,96,96,18,30,30,36,60,36,48,
72,192,18,54,30,36,60,54,54,18,18,24,36,36,192,72,48,144,36,72,72,96,96,144,
72,72,72,72,72,72,24,24,24,48,48,48,48,32,32,32,64,48,48,48,96,96,96,96,96,64,
9,15,9,9,48,36,72,6,9,9,24,24,18,36,36,3,21,42,6,18,18,36,12,12,6,18,6,30,18,
12,18,12,36,24,18,12,36,48,18,18,18,18,12,36,24,48,96,48,6,6,18,6,15,18,6,9,6,
12,12,24,18,6,36,12,18,36,24,24,48,9,12,12,12,36,36,36,12,36,6,6,18,18,36,18,
30,18,30,36,6,6,12,12,12,36,12,18,6,18,18,18,18,12,12,12,24,12,12,12,12,12,36,
12,24,24,24,12,36,36,12,12,12,12,24,12,12,36,60,36,36,36,36,24,12,24,36,36,36,
24,36,12,12,12,24,24,24,24,24,24,24,24,24,48,4,16,32,48,48,16,16,16,32,16,16,
16,32,32,96,96,32,1,2,6,6,6,12,24,3,3,3,3,6,12,9,18,6,18,18,18,24,6,6,18,9,15,
9,18,6,18,6,6,3,9,6,6,6,6,6,6,12,3,9,9,9,12,12,12,12,12,12,12,12,12,12,12,12,
6,6,12,6,18,18,36,6,6,18,6,18,18,12,18,12,36,18,18,6,36,36,36,36,12,12,12,12,
12,12,36,36,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,8,12,
12,12,16,16,16,32,32,6,3,3,3,6,6,18,3,3,6,3,3,6,3,9,9,3,6,6,6,12,6,6,18,6,6,6,
6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,4,8,24,4,4,4,12,12,4,4,4,24,1,3,3,3,3,
3,3,6,6,6,6,4,4,4,8,8,3,1,1],[1,33,126,64,25,25,26,168,141,300,234,168,144,
300,60,132,144,128,192,3,3,42,78,168,42,75,168,48,48,75,36,48,126,168,117,126,
168,168,168,48,504,504,36,84,84,108,120,96,120,120,96,120,144,144,192,144,192,
42,60,42,30,18,48,72,96,30,42,48,96,144,24,48,112,224,64,64,64,14,168,14,168,
6,6,21,21,13,63,252,63,252,126,126,6,6,12,12,24,12,24,9,36,9,36,36,12,12,24,6,
30,30,36,36,36,72,18,18,18,48,96,18,60,12,18,18,60,12,24,24,24,48,24,48,48,96,
48,96,24,48,96,12,24,48,96,24,18,18,36,36,36,72,96,48,144,30,30,18,30,60,36,
18,12,18,18,48,36,60,144,60,36,144,48,48,96,48,48,48,96,144,24,48,24,48,24,24,
24,32,64,128,48,96,96,64,9,9,9,36,36,72,6,6,9,12,12,24,12,24,36,36,21,21,42,
42,6,18,18,36,6,18,18,36,48,6,6,18,30,30,18,18,18,36,36,36,12,24,48,12,24,48,
18,18,12,12,24,24,48,96,48,96,48,12,6,12,12,24,6,12,12,24,18,18,36,36,18,36,
18,36,24,48,24,48,9,12,12,24,12,12,12,12,6,6,12,24,12,12,12,12,12,12,12,12,12,
24,24,24,12,12,12,12,12,12,12,24,24,24,24,24,12,24,28,56,32,48,16,32,16,32,1,
1,6,12,24,6,12,24,3,6,12,6,12,18,18,18,18,18,18,18,18,24,24,6,9,9,6,6,3,3,3,3,
6,6,6,6,6,6,3,9,12,24,12,12,12,12,12,6,6,6,6,6,6,6,6,24,6,24,12,12,12,12,12,
12,12,12,24,24,8,16,32,12,24,24,16,32,6,6,3,3,3,3,6,6,3,3,9,6,6,6,6,6,6,6,6,6,
6,6,6,12,1,4,4,4,8,8,1,3,3,3,3,3,3,2,3,4,3,1,1,1,1],[1,33,126,64,25,25,26,168,
141,300,234,168,144,300,60,132,144,128,192,3,3,42,78,168,42,75,168,48,48,75,
36,48,126,168,117,126,168,168,168,48,504,504,36,84,84,108,120,96,120,120,96,
120,144,144,192,144,192,42,60,42,30,18,48,72,96,30,42,48,96,144,24,48,112,224,
64,64,64,14,168,14,168,6,6,21,21,13,63,252,63,252,126,126,6,6,12,12,24,12,24,
9,36,9,36,36,12,12,24,6,30,30,36,36,36,72,18,18,18,48,96,18,60,12,18,18,60,12,
24,24,24,48,24,48,48,96,48,96,24,48,96,12,24,48,96,24,18,18,36,36,36,72,96,48,
144,30,30,18,30,60,36,18,12,18,18,48,36,60,144,60,36,144,48,48,96,48,48,48,96,
144,24,48,24,48,24,24,24,32,64,128,48,96,96,64,9,9,9,36,36,72,6,6,9,12,12,24,
12,24,36,36,21,21,42,42,6,18,18,36,6,18,18,36,48,6,6,18,30,30,18,18,18,36,36,
36,12,24,48,12,24,48,18,18,12,12,24,24,48,96,48,96,48,12,6,12,12,24,6,12,12,
24,18,18,36,36,18,36,18,36,24,48,24,48,9,12,12,24,12,12,12,12,6,6,12,24,12,12,
12,12,12,12,12,12,12,24,24,24,12,12,12,12,12,12,12,24,24,24,24,24,12,24,28,56,
32,48,16,32,16,32,1,1,6,12,24,6,12,24,3,6,12,6,12,18,18,18,18,18,18,18,18,24,
24,6,9,9,6,6,3,3,3,3,6,6,6,6,6,6,3,9,12,24,12,12,12,12,12,6,6,6,6,6,6,6,6,24,
6,24,12,12,12,12,12,12,12,12,24,24,8,16,32,12,24,24,16,32,6,6,3,3,3,3,6,6,3,3,
9,6,6,6,6,6,6,6,6,6,6,6,6,12,1,4,4,4,8,8,1,3,3,3,3,3,3,2,3,4,3,1,1,1,1],[1,25,
150,64,21,13,14,24,117,108,150,216,240,396,76,108,240,256,64,1,3,6,42,24,54,
87,168,48,21,60,48,6,8,69,138,168,32,168,96,48,552,12,84,108,108,72,24,144,
216,144,192,192,96,192,480,30,84,18,30,18,120,96,42,54,144,192,96,24,24,112,
224,64,64,64,14,168,6,12,21,3,7,69,252,3,12,12,126,4,12,6,12,24,36,48,9,12,3,
24,12,6,6,12,24,24,12,12,48,6,6,30,6,12,12,60,96,6,18,12,24,30,12,24,12,6,48,
12,60,24,48,120,24,24,24,96,192,48,96,192,24,54,144,192,18,18,12,36,12,96,48,
96,30,18,18,30,36,60,6,12,6,6,72,36,12,96,72,24,48,48,24,48,120,144,192,48,24,
48,72,24,48,72,64,128,256,16,32,32,64,9,3,3,24,12,24,12,6,3,12,36,48,12,12,12,
1,21,42,2,6,6,12,12,12,2,6,6,6,24,18,12,12,48,30,12,60,96,12,12,24,6,24,12,48,
96,192,96,6,6,12,12,12,6,12,24,24,48,6,6,12,12,6,12,12,48,96,3,12,36,12,12,24,
6,6,12,12,12,6,6,12,24,24,12,12,6,6,18,6,12,12,12,12,24,12,12,12,24,24,24,12,
24,12,12,12,24,24,12,12,24,48,12,12,24,12,12,24,24,12,12,24,48,24,24,12,12,24,
24,28,56,16,16,32,32,16,1,1,3,12,24,48,3,3,12,24,6,6,6,6,6,6,48,3,6,6,6,6,12,
6,3,3,6,6,6,6,6,6,12,6,6,6,6,12,3,3,3,12,24,12,12,12,12,24,12,12,12,24,12,12,
6,6,6,6,12,6,6,12,12,24,6,6,12,12,24,12,12,24,12,12,24,16,32,64,4,8,8,16,12,1,
6,6,6,6,3,3,3,3,6,6,3,3,6,6,6,6,6,6,12,6,6,6,6,12,1,4,4,4,8,8,1,3,3,3,3,3,3,4,
1,4,3,1,1,1,1],[1,25,150,64,13,21,14,216,117,396,150,24,240,108,76,108,240,
256,64,3,1,54,42,168,6,21,24,48,87,60,96,138,168,69,6,8,168,32,48,552,48,12,
108,84,108,144,216,144,72,24,192,192,480,192,96,30,84,54,42,18,144,120,192,30,
18,96,96,24,24,112,224,64,64,64,14,168,12,6,3,21,7,3,12,69,252,126,12,4,6,12,
12,36,48,24,9,12,3,12,24,6,24,6,12,24,12,12,48,6,6,6,30,12,12,60,96,12,6,6,96,
192,48,12,18,30,12,24,12,24,60,24,24,48,120,96,192,24,48,24,12,48,54,18,18,36,
12,12,96,192,144,96,30,30,6,18,36,60,6,24,6,18,48,24,72,48,12,36,96,72,120,
192,144,24,48,48,24,48,24,72,48,72,64,128,256,16,32,32,64,3,9,3,12,24,24,6,12,
3,12,12,36,48,12,12,21,1,42,12,12,2,6,6,12,96,2,24,6,6,18,12,12,48,12,12,24,
12,30,60,96,6,6,12,24,48,96,192,6,6,12,12,24,24,48,12,12,6,6,6,12,6,12,12,48,
96,12,3,12,12,36,12,24,6,6,12,6,6,12,12,12,12,24,24,12,6,6,18,6,12,24,24,12,
12,48,12,12,12,12,24,12,24,12,12,12,24,12,24,12,24,24,12,12,24,12,12,12,24,24,
12,48,24,24,24,12,12,24,24,28,56,16,32,16,32,16,1,1,12,24,48,3,3,3,6,12,24,6,
6,6,6,6,48,3,6,6,6,12,6,3,3,6,6,6,6,6,6,6,12,6,6,12,6,6,3,3,3,12,24,12,12,12,
24,12,12,12,12,24,12,12,6,6,6,6,12,6,6,12,12,24,6,6,12,12,24,12,12,24,12,12,
24,16,32,64,4,8,8,16,12,1,6,6,6,6,3,3,3,3,6,6,3,3,6,6,6,6,6,6,12,6,6,6,6,12,1,
4,4,4,8,8,1,3,3,3,3,3,3,4,1,4,3,1,1,1,1],[1,49,78,64,105,13,14,24,81,60,198,
168,48,324,124,84,144,64,64,64,1,45,6,42,24,42,81,168,48,9,12,6,8,81,126,168,
32,216,24,48,504,108,36,324,36,24,72,48,48,48,48,48,96,96,18,36,30,162,6,48,
72,96,42,18,24,144,192,24,48,112,224,64,64,64,3,14,168,3,27,3,7,63,252,3,12,
12,126,27,4,9,12,24,6,36,3,12,9,24,36,12,24,24,24,12,24,24,6,6,18,12,12,36,24,
6,18,24,48,6,36,18,126,126,12,24,12,12,24,36,24,24,24,48,24,48,24,48,162,12,
24,48,6,6,12,12,12,24,48,18,6,18,36,36,18,162,18,36,12,12,48,24,24,96,24,24,
48,96,72,72,24,24,24,112,16,32,64,16,32,32,64,27,3,3,3,12,12,24,9,9,6,12,12,
24,1,21,42,2,6,6,12,2,42,6,126,6,6,6,6,6,6,12,12,12,6,6,12,24,6,12,24,24,48,
24,12,6,12,6,3,6,18,12,63,18,6,12,12,6,12,12,24,12,24,3,12,36,12,6,6,6,6,12,6,
12,12,18,12,12,36,24,36,12,12,24,12,24,12,12,12,24,24,12,12,12,12,12,12,12,12,
24,24,24,24,12,12,24,48,12,24,28,56,16,32,16,16,32,1,21,1,3,6,3,6,12,3,21,3,6,
6,6,6,6,6,12,3,3,3,6,3,3,12,12,6,6,6,12,6,6,18,6,6,6,3,3,12,12,12,12,6,6,6,6,
6,6,6,6,6,6,12,12,6,12,12,12,12,12,12,12,12,12,12,24,28,4,8,16,4,8,8,16,3,3,1,
6,6,6,3,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,1,4,4,4,8,8,1,3,3,3,3,3,3,1,1,1,4,
3,1,1,1,1],[1,49,78,64,13,105,14,168,81,324,198,24,48,60,124,84,144,64,64,64,
45,1,42,42,168,6,9,24,48,81,12,24,126,168,81,6,8,216,32,504,48,108,324,36,36,
48,48,48,24,72,48,48,96,96,18,36,18,42,6,24,72,144,162,30,48,96,192,24,48,112,
224,64,64,64,3,14,168,3,3,27,7,3,12,63,252,126,12,4,27,9,6,36,12,24,3,12,9,36,
24,24,24,12,24,12,24,24,6,18,6,12,12,36,24,126,6,24,48,12,24,12,12,18,6,36,18,
126,24,24,36,24,24,48,24,48,24,48,12,6,6,12,12,12,24,48,24,48,18,18,18,36,36,
162,162,18,6,24,24,96,12,12,48,36,24,48,24,96,72,72,24,24,24,112,16,32,64,16,
32,32,64,27,3,3,3,12,12,24,9,9,6,12,24,12,21,1,42,2,6,6,12,24,42,2,6,6,6,6,6,
6,6,12,12,12,6,6,12,24,12,126,6,24,24,48,12,3,6,18,12,63,6,12,6,6,18,12,12,6,
12,12,24,12,24,3,12,36,12,6,6,6,6,12,12,6,12,18,24,12,12,24,12,36,12,36,12,12,
12,24,12,24,24,12,12,12,12,12,12,12,12,24,24,12,12,24,24,24,48,12,24,28,56,16,
32,16,16,32,1,1,21,3,6,12,3,6,3,21,3,6,6,6,6,6,6,12,3,3,3,6,3,3,12,12,6,6,6,
18,12,6,6,6,3,6,6,3,12,12,12,12,6,6,6,6,6,6,6,6,6,6,12,12,6,12,12,12,12,12,12,
12,12,12,12,24,28,4,8,16,4,8,8,16,3,3,1,6,6,6,3,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,
6,6,6,1,4,4,4,8,8,1,3,3,3,3,3,3,1,1,1,4,3,1,1,1,1],[1,41,102,64,25,53,26,216,
129,372,282,168,48,252,76,60,48,320,17,3,54,78,216,42,63,168,48,48,81,12,24,
138,184,129,126,168,232,168,600,504,76,180,60,60,120,72,120,120,120,48,48,96,
240,30,36,30,30,30,72,24,48,90,30,240,24,24,112,224,64,64,64,1,14,168,14,168,
3,21,27,13,63,252,69,276,150,126,13,9,18,12,15,60,15,60,60,6,18,36,36,6,6,18,
30,36,60,12,24,30,66,18,24,48,30,60,18,18,36,18,54,36,12,24,24,48,18,30,30,60,
60,60,24,48,72,240,30,30,30,60,36,90,78,30,30,60,60,240,60,60,240,36,24,48,72,
240,72,72,72,72,80,160,160,64,13,15,15,15,60,60,120,9,15,18,12,60,60,23,21,42,
42,10,30,30,60,6,18,18,36,24,22,6,6,30,30,18,18,18,30,36,60,12,18,18,12,24,30,
54,18,36,24,48,6,18,9,18,6,12,27,30,18,36,60,18,36,30,60,12,24,15,12,12,36,36,
12,36,18,18,36,18,18,18,18,36,36,18,18,18,18,24,12,12,12,12,12,12,12,24,12,24,
24,24,36,36,36,36,36,36,36,36,36,36,36,36,28,56,16,32,48,16,1,1,2,6,7,3,6,12,
3,3,9,9,6,18,30,18,18,18,30,30,30,12,6,6,18,6,9,15,9,9,18,18,6,6,12,6,6,6,6,9,
9,15,12,12,12,12,12,12,12,12,6,6,12,18,18,36,18,18,18,18,36,18,18,36,36,36,36,
36,36,20,40,40,16,1,3,3,5,6,18,3,3,3,3,6,9,9,9,6,6,6,6,12,18,6,6,1,4,8,12,4,1,
1,1,3,3,3,3,5,4,1,1,1,1,1],[1,41,102,64,53,25,26,168,129,252,282,216,48,372,
76,60,48,320,3,17,42,78,168,54,81,216,48,48,63,12,126,168,129,138,184,168,232,
24,504,600,76,60,180,60,120,120,120,72,120,48,48,240,96,30,36,30,90,30,24,30,
30,72,48,240,24,24,112,224,64,64,64,1,14,168,14,168,3,27,21,13,69,276,63,252,
126,150,13,9,18,12,15,60,15,60,60,6,18,36,36,6,6,30,18,60,36,12,24,18,18,30,
18,36,18,54,66,30,60,36,12,24,24,48,24,48,78,18,72,48,30,30,60,60,60,24,240,
30,30,30,60,36,30,90,30,36,60,60,240,60,60,240,24,72,48,240,72,72,72,72,80,
160,160,64,13,15,15,15,60,60,120,9,15,18,12,60,60,21,23,42,42,6,18,18,36,10,
30,30,60,6,22,6,54,18,18,30,30,30,18,60,36,12,18,18,12,24,18,30,36,24,48,24,6,
18,9,18,6,12,27,18,30,60,36,30,60,18,36,12,24,15,12,12,36,36,12,36,18,18,36,
18,18,18,18,36,36,18,18,18,18,24,12,12,12,12,24,24,12,12,12,12,24,24,36,36,36,
36,36,36,36,36,36,36,36,36,28,56,16,32,48,16,1,1,2,6,7,3,6,12,3,3,9,9,6,30,18,
30,30,30,18,18,18,12,6,6,18,6,15,9,9,9,18,18,6,6,6,6,6,6,12,9,9,15,12,12,12,
12,12,12,12,12,6,6,12,18,18,36,18,18,18,18,36,18,18,36,36,36,36,36,36,20,40,
40,16,1,3,5,3,6,18,3,3,3,3,6,9,9,9,6,6,6,6,12,18,6,6,1,4,8,12,4,1,1,1,3,3,3,3,
5,4,1,1,1,1,1],[1,41,102,64,49,41,14,72,93,228,246,168,144,324,76,60,48,320,
15,17,18,42,72,42,81,168,48,39,36,72,18,24,93,126,168,128,216,56,144,504,76,
156,180,108,72,72,120,96,48,96,48,48,96,192,96,54,108,18,90,18,72,24,48,78,30,
24,48,192,24,72,16,48,32,48,64,64,64,1,1,14,168,9,7,27,13,7,63,252,9,36,36,
126,13,13,21,27,28,18,12,6,12,9,36,27,48,36,6,12,24,18,36,12,36,12,12,24,14,
18,6,42,6,18,12,36,12,24,18,18,18,36,18,42,42,12,24,18,18,24,36,12,24,12,24,
24,48,24,24,48,78,12,24,48,18,18,18,36,36,36,24,48,72,144,42,54,18,54,108,108,
78,78,90,30,84,36,36,144,48,48,192,108,24,48,72,24,24,48,192,56,216,216,72,
168,72,80,48,48,96,96,32,32,96,96,96,64,13,13,9,9,9,36,36,72,21,27,27,28,6,12,
18,12,36,48,3,21,42,6,18,18,36,6,14,6,6,42,18,18,6,6,6,18,12,36,12,6,6,12,24,
18,18,12,24,18,18,12,12,12,36,24,24,48,24,6,18,12,12,9,18,6,12,9,3,6,6,12,21,
18,6,12,36,18,36,12,24,9,12,36,84,36,108,84,12,36,18,18,36,12,12,18,18,18,18,
36,6,6,6,6,12,12,12,12,36,18,6,18,6,42,18,54,42,84,56,12,12,12,12,24,12,12,12,
12,12,12,12,12,12,12,36,36,12,12,12,12,12,36,36,36,36,36,36,24,24,12,24,24,24,
36,36,36,36,12,12,24,24,24,4,16,16,32,48,48,16,16,16,16,16,96,96,32,32,1,2,6,
7,3,6,12,3,7,9,21,7,3,3,6,9,6,6,18,18,18,18,12,6,6,18,9,9,9,18,3,3,6,18,6,6,3,
3,6,6,6,6,6,6,6,6,6,6,6,6,6,9,3,3,9,9,4,12,12,12,12,12,12,12,12,12,12,12,12,
12,4,12,12,12,12,12,28,6,6,6,6,18,18,36,18,6,18,6,18,12,18,12,36,24,18,18,6,6,
36,36,36,36,12,12,24,36,36,12,12,12,12,12,12,8,16,16,16,32,1,3,1,3,1,3,6,6,6,
6,6,18,2,6,3,3,3,3,3,6,6,6,3,3,3,3,6,3,3,9,9,6,6,6,6,6,6,6,18,6,6,6,6,12,12,4,
8,24,4,12,12,4,4,4,4,4,24,1,3,3,3,3,3,3,6,6,4,4,4,8,1,1,1],[1,41,102,64,41,49,
14,168,93,324,246,72,144,228,76,60,48,320,17,15,42,42,168,18,39,72,48,81,36,
56,126,168,93,18,24,216,128,72,504,144,76,180,156,108,96,48,96,72,72,120,48,
48,96,192,96,54,108,30,78,18,24,24,48,90,18,72,48,192,24,72,48,16,32,48,64,64,
64,1,1,14,168,7,9,13,27,7,9,36,63,252,126,36,13,13,27,21,28,6,12,18,12,9,36,
27,36,48,6,18,36,12,24,36,12,12,12,24,18,14,6,42,18,6,36,12,12,24,42,18,24,48,
12,24,18,18,18,18,36,18,42,36,24,12,24,12,24,24,48,24,78,18,72,48,12,18,18,36,
36,36,24,48,24,144,42,54,30,54,108,108,90,78,78,18,108,48,48,192,36,36,144,84,
24,48,24,24,72,48,192,56,168,72,216,216,72,48,80,48,32,32,96,96,96,96,96,64,
13,13,9,9,9,36,36,72,27,21,27,28,18,12,6,12,48,36,21,3,42,6,18,18,36,24,14,6,
6,6,18,6,6,18,18,18,6,36,12,12,18,18,12,24,6,6,12,24,12,42,18,12,12,24,36,24,
48,6,12,18,12,3,6,6,12,21,9,18,6,12,9,6,18,36,12,18,36,12,24,9,12,36,36,108,
84,84,12,36,18,18,12,36,12,6,6,6,6,12,18,18,18,18,36,12,12,12,36,18,18,6,6,54,
18,42,42,84,56,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,36,12,36,12,36,36,
36,12,12,12,24,24,36,36,36,12,24,24,24,12,12,36,24,36,36,36,24,24,4,16,16,32,
16,16,48,48,16,16,16,96,32,96,32,1,2,6,7,3,6,12,9,7,3,21,3,7,9,6,3,6,18,6,18,
18,18,12,6,6,18,9,3,3,6,9,9,18,18,6,6,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,9,3,3,9,9,
4,12,12,12,12,12,12,12,12,12,12,12,12,12,4,12,12,12,12,12,28,6,6,6,6,18,18,36,
6,18,18,6,18,18,12,36,12,24,6,18,18,6,12,12,36,36,36,36,24,36,36,12,12,12,12,
12,12,8,16,16,16,32,1,3,1,3,1,3,6,6,6,6,6,18,2,6,3,3,3,3,3,6,6,6,3,3,3,3,6,3,
9,9,3,6,6,6,6,6,6,6,18,6,6,6,6,12,12,4,8,24,4,12,4,12,4,4,4,4,24,1,3,3,3,3,3,
3,6,6,4,4,4,8,1,1,1],[1,33,126,64,41,21,14,216,105,348,198,72,144,180,60,132,
144,128,192,3,15,54,42,168,18,27,72,48,75,36,48,138,168,81,18,24,168,96,24,
552,144,36,84,132,60,144,120,240,120,72,72,96,96,288,192,18,60,42,54,30,96,72,
96,30,54,120,48,192,24,24,24,48,112,224,64,64,64,1,14,168,6,3,9,21,7,9,36,69,
252,126,36,9,9,6,24,24,30,12,15,36,9,36,48,6,6,18,36,6,12,60,24,24,6,6,6,30,
18,60,12,36,48,12,6,18,48,96,24,54,18,18,18,36,12,12,36,36,12,24,72,48,96,48,
24,48,54,18,72,30,30,30,60,36,36,48,96,96,192,30,18,18,36,60,18,12,54,54,36,
48,72,144,36,36,192,24,72,96,96,72,144,72,72,72,72,72,72,24,24,24,48,48,48,48,
32,64,128,48,96,96,64,9,9,15,9,36,48,72,9,6,9,18,24,24,36,36,21,3,42,12,12,6,
18,18,36,48,6,18,18,12,18,30,18,36,12,24,18,18,12,18,36,48,6,18,12,24,36,48,
96,6,6,6,18,6,12,12,24,15,18,6,9,6,18,36,18,36,12,24,48,24,9,12,12,12,36,36,
36,12,36,18,18,6,6,36,6,6,12,30,18,30,18,36,12,12,12,36,6,18,18,18,18,18,12,
36,24,12,12,12,12,12,12,12,24,12,24,24,36,12,36,12,12,12,12,36,60,36,24,12,12,
12,24,36,36,36,24,24,12,12,36,36,36,36,12,24,24,24,24,24,24,24,24,24,48,28,56,
16,16,32,16,32,1,2,6,6,12,24,6,3,3,3,3,9,6,12,18,18,18,18,6,24,6,6,18,9,6,9,
15,18,6,18,6,9,3,6,6,6,6,12,6,6,9,9,3,9,12,12,12,12,12,12,12,12,12,12,12,12,6,
6,12,6,18,18,36,6,6,18,18,6,12,18,18,36,12,6,18,18,12,12,36,36,36,36,12,12,12,
12,36,36,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,8,16,32,
12,24,24,16,6,3,3,3,6,6,18,3,3,6,3,3,6,9,9,3,3,6,6,6,12,6,6,18,6,6,6,6,6,6,6,
6,6,12,12,12,12,12,12,12,12,12,1,8,4,4,12,8,8,1,3,3,3,3,3,3,6,6,6,6,2,3,4,8,3,
1,1,1,1],[1,33,126,64,21,41,14,72,105,180,198,216,144,348,60,132,144,128,192,
15,3,18,42,72,54,75,168,48,27,36,24,18,24,81,138,168,96,168,48,144,552,36,132,
84,60,120,72,72,144,120,240,96,96,192,288,18,60,54,30,30,120,72,48,54,42,96,
96,192,24,24,24,48,112,224,64,64,64,1,14,168,3,6,21,9,7,69,252,9,36,36,126,9,
6,9,30,12,24,24,15,36,9,48,36,6,6,6,12,18,36,24,60,24,6,6,6,18,30,12,60,36,48,
18,18,12,48,18,36,12,12,6,24,54,18,36,36,24,72,12,48,48,96,24,48,96,12,30,96,
96,18,30,30,36,60,36,48,72,192,18,54,30,36,60,54,54,18,18,24,36,36,192,72,48,
144,36,72,72,96,96,144,72,72,72,72,72,72,24,24,24,48,48,48,48,32,64,128,48,96,
96,64,9,15,9,9,48,36,72,6,9,9,24,24,18,36,36,3,21,42,6,18,18,36,12,12,6,18,6,
30,18,12,18,12,36,24,18,12,36,48,18,18,18,18,12,36,24,48,96,48,6,6,18,6,15,18,
6,9,6,12,12,24,18,6,36,12,18,36,24,24,48,9,12,12,12,36,36,36,12,36,6,6,18,18,
36,18,30,18,30,36,6,6,12,12,12,36,12,18,6,18,18,18,18,12,12,12,24,12,12,12,12,
12,36,12,24,24,24,12,36,36,12,12,12,12,24,12,12,36,60,36,36,36,36,24,12,24,36,
36,36,24,36,12,12,12,24,24,24,24,24,24,24,24,24,48,28,56,16,16,32,16,32,1,2,6,
6,6,12,24,3,3,3,3,6,12,9,18,6,18,18,18,24,6,6,18,9,15,9,18,6,18,6,6,3,9,6,6,6,
6,6,6,12,3,9,9,9,12,12,12,12,12,12,12,12,12,12,12,12,6,6,12,6,18,18,36,6,6,18,
6,18,18,12,18,12,36,18,18,6,36,36,36,36,12,12,12,12,12,12,36,36,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,8,16,32,12,24,24,16,6,3,3,3,6,
6,18,3,3,6,3,3,6,3,9,9,3,6,6,6,12,6,6,18,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,
12,12,12,1,8,4,4,12,8,8,1,3,3,3,3,3,3,6,6,6,6,2,3,4,8,3,1,1,1,1],[1,33,126,64,
25,25,26,168,141,300,234,168,144,300,60,132,144,128,192,3,3,42,78,168,42,75,
168,48,48,75,36,48,126,168,117,126,168,168,168,48,504,504,36,84,84,108,120,96,
120,120,96,120,144,144,192,144,192,42,60,42,30,18,48,72,96,30,42,48,96,144,24,
48,16,16,48,16,48,64,64,64,14,168,14,168,6,6,21,21,13,63,252,63,252,126,126,6,
6,12,12,24,12,24,9,36,9,36,36,12,12,24,6,30,30,36,36,36,72,18,18,18,48,96,18,
60,12,18,18,60,12,24,24,24,48,24,48,48,96,48,96,24,48,96,12,24,48,96,24,18,18,
36,36,36,72,96,48,144,30,30,18,30,60,36,18,12,18,18,48,36,60,144,60,36,144,48,
48,96,48,48,48,96,144,24,48,24,48,24,24,24,32,32,32,32,32,48,48,48,48,48,96,
96,64,9,9,9,36,36,72,6,6,9,12,12,24,12,24,36,36,21,21,42,42,6,18,18,36,6,18,
18,36,48,6,6,18,30,30,18,18,18,36,36,36,12,24,48,12,24,48,18,18,12,12,24,24,
48,96,48,96,48,12,6,12,12,24,6,12,12,24,18,18,36,36,18,36,18,36,24,48,24,48,9,
12,12,24,12,12,12,12,6,6,12,24,12,12,12,12,12,12,12,12,12,24,24,24,12,12,12,
12,12,12,12,24,24,24,24,24,12,24,4,4,16,16,48,16,48,16,16,16,16,16,16,16,16,
16,16,1,1,6,12,24,6,12,24,3,6,12,6,12,18,18,18,18,18,18,18,18,24,24,6,9,9,6,6,
3,3,3,3,6,6,6,6,6,6,3,9,12,24,12,12,12,12,12,6,6,6,6,6,6,6,6,24,6,24,12,12,12,
12,12,12,12,12,24,24,8,8,12,12,12,16,16,16,16,16,6,6,3,3,3,3,6,6,3,3,9,6,6,6,
6,6,6,6,6,6,6,6,6,12,4,4,4,4,4,4,4,12,4,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,33,126,
64,41,21,14,216,105,348,198,72,144,180,60,132,144,128,192,3,15,54,42,168,18,
27,72,48,75,36,48,138,168,81,18,24,168,96,24,552,144,36,84,132,60,144,120,240,
120,72,72,96,96,288,192,18,60,42,54,30,96,72,96,30,54,120,48,192,24,24,24,48,
80,16,48,64,64,64,1,14,168,6,3,9,21,7,9,36,69,252,126,36,9,9,6,24,24,30,12,15,
36,9,36,48,6,6,18,36,6,12,60,24,24,6,6,6,30,18,60,12,36,48,12,6,18,48,96,24,
54,18,18,18,36,12,12,36,36,12,24,72,48,96,48,24,48,54,18,72,30,30,30,60,36,36,
48,96,96,192,30,18,18,36,60,18,12,54,54,36,48,72,144,36,36,192,24,72,96,96,72,
144,72,72,72,72,72,72,24,24,24,48,48,48,48,32,32,96,48,48,48,96,64,9,9,15,9,
36,48,72,9,6,9,18,24,24,36,36,21,3,42,12,12,6,18,18,36,48,6,18,18,12,18,30,18,
36,12,24,18,18,12,18,36,48,6,18,12,24,36,48,96,6,6,6,18,6,12,12,24,15,18,6,9,
6,18,36,18,36,12,24,48,24,9,12,12,12,36,36,36,12,36,18,18,6,6,36,6,6,12,30,18,
30,18,36,12,12,12,36,6,18,18,18,18,18,12,36,24,12,12,12,12,12,12,12,24,12,24,
24,36,12,36,12,12,12,12,36,60,36,24,12,12,12,24,36,36,36,24,24,12,12,36,36,36,
36,12,24,24,24,24,24,24,24,24,24,48,4,4,16,16,48,12,16,16,16,16,16,16,1,2,6,6,
12,24,6,3,3,3,3,9,6,12,18,18,18,18,6,24,6,6,18,9,6,9,15,18,6,18,6,9,3,6,6,6,6,
12,6,6,9,9,3,9,12,12,12,12,12,12,12,12,12,12,12,12,6,6,12,6,18,18,36,6,6,18,
18,6,12,18,18,36,12,6,18,18,12,12,36,36,36,36,12,12,12,12,36,36,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,8,8,12,12,12,16,16,16,8,24,6,
3,3,3,6,6,18,3,3,6,3,3,6,9,9,3,3,6,6,6,12,6,6,18,6,6,6,6,6,6,6,6,6,12,12,12,
12,12,12,12,12,12,1,4,4,4,4,4,12,4,4,4,1,3,3,3,3,3,3,6,6,6,6,3,2,4,4,4,3,1,1,
1,1],[1,33,126,64,21,41,14,72,105,180,198,216,144,348,60,132,144,128,192,15,3,
18,42,72,54,75,168,48,27,36,24,18,24,81,138,168,96,168,48,144,552,36,132,84,
60,120,72,72,144,120,240,96,96,192,288,18,60,54,30,30,120,72,48,54,42,96,96,
192,24,24,24,48,16,80,48,64,64,64,1,14,168,3,6,21,9,7,69,252,9,36,36,126,9,6,
9,30,12,24,24,15,36,9,48,36,6,6,6,12,18,36,24,60,24,6,6,6,18,30,12,60,36,48,
18,18,12,48,18,36,12,12,6,24,54,18,36,36,24,72,12,48,48,96,24,48,96,12,30,96,
96,18,30,30,36,60,36,48,72,192,18,54,30,36,60,54,54,18,18,24,36,36,192,72,48,
144,36,72,72,96,96,144,72,72,72,72,72,72,24,24,24,48,48,48,48,32,96,32,48,48,
48,96,64,9,15,9,9,48,36,72,6,9,9,24,24,18,36,36,3,21,42,6,18,18,36,12,12,6,18,
6,30,18,12,18,12,36,24,18,12,36,48,18,18,18,18,12,36,24,48,96,48,6,6,18,6,15,
18,6,9,6,12,12,24,18,6,36,12,18,36,24,24,48,9,12,12,12,36,36,36,12,36,6,6,18,
18,36,18,30,18,30,36,6,6,12,12,12,36,12,18,6,18,18,18,18,12,12,12,24,12,12,12,
12,12,36,12,24,24,24,12,36,36,12,12,12,12,24,12,12,36,60,36,36,36,36,24,12,24,
36,36,36,24,36,12,12,12,24,24,24,24,24,24,24,24,24,48,4,4,16,16,48,12,16,16,
16,16,16,16,1,2,6,6,6,12,24,3,3,3,3,6,12,9,18,6,18,18,18,24,6,6,18,9,15,9,18,
6,18,6,6,3,9,6,6,6,6,6,6,12,3,9,9,9,12,12,12,12,12,12,12,12,12,12,12,12,6,6,
12,6,18,18,36,6,6,18,6,18,18,12,18,12,36,18,18,6,36,36,36,36,12,12,12,12,12,
12,36,36,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,8,8,12,
12,12,16,16,16,8,24,6,3,3,3,6,6,18,3,3,6,3,3,6,3,9,9,3,6,6,6,12,6,6,18,6,6,6,
6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,1,4,4,4,4,4,12,4,4,4,1,3,3,3,3,3,3,6,6,
6,6,3,2,4,4,4,3,1,1,1,1],[1,35,120,40,10,35,30,120,180,60,40,210,40,90,120,96,
40,200,200,15,15,60,30,30,80,60,10,60,40,120,60,60,60,30,180,120,120,120,45,
60,30,60,120,10,60,96,10,40,40,40,40,120,120,200,40,1,10,15,10,30,15,30,15,30,
45,30,30,60,30,60,15,45,60,60,30,30,120,120,30,30,60,60,96,10,30,40,20,40,30,
40,20,40,40,40,40,40,40,40,40,10,30,15,15,30,30,15,5,15,30,15,15,30,30,30,30,
30,10,10,30,30,10,20,40,20,10,10,40,40,16,15,5,15,15,15,15,15,6,5,10,10,10,10,
10,10,10,16,15,6,5,5,5,10,6,5,1,1],[1,35,120,40,35,10,60,30,210,180,40,120,40,
90,120,96,40,200,200,15,15,60,30,10,30,60,80,60,40,120,30,180,60,60,60,120,
120,120,60,30,60,45,120,10,60,96,10,40,40,40,40,120,120,200,40,1,10,15,10,30,
15,30,30,60,45,15,30,30,60,15,60,30,60,45,30,30,120,120,30,30,60,60,96,10,30,
40,40,20,30,40,20,40,40,40,40,40,40,40,40,10,30,30,15,15,30,15,5,15,15,30,15,
30,30,30,30,30,10,10,10,20,30,30,40,20,10,10,40,40,16,5,15,15,15,15,15,15,6,5,
10,10,10,10,10,10,10,16,15,6,5,5,5,10,6,5,1,1],[1,15,100,160,35,20,60,120,150,
150,120,96,320,160,15,25,60,30,90,300,120,120,75,90,60,30,60,60,96,80,200,240,
160,1,5,15,15,45,75,30,60,90,75,60,90,30,60,60,96,80,240,80,40,15,25,30,15,45,
15,45,30,15,30,30,10,20,60,40,16,48,5,15,15,15,15,15,15,6,20,20,10,20,16,16,
15,6,5,10,6,5,1,1],[1,15,100,160,35,20,60,150,120,150,120,96,320,160,15,25,30,
60,90,300,120,120,90,60,75,60,30,60,96,200,80,240,160,1,5,15,15,45,30,75,60,
90,75,60,90,30,60,60,96,80,80,240,40,15,25,30,15,45,45,15,30,15,30,30,10,20,
60,40,16,48,5,15,15,15,15,15,15,6,20,20,10,20,16,16,15,6,5,10,6,5,1,1],[1,33,
78,128,128,21,41,14,72,81,180,198,168,48,252,36,36,384,384,15,3,18,42,72,42,
63,168,48,27,12,24,18,24,81,126,168,96,168,144,504,36,108,36,36,72,72,72,72,
72,144,18,36,18,18,18,72,54,18,144,24,24,256,128,48,32,32,160,224,48,96,128,
128,1,14,168,3,21,9,7,63,252,9,36,36,126,9,9,18,9,36,9,36,36,6,18,36,36,6,6,
18,36,18,18,18,36,18,18,36,18,18,18,36,36,36,72,144,18,18,18,36,36,54,54,18,
18,36,36,144,36,36,144,36,72,144,72,72,72,72,48,96,48,96,96,96,96,96,96,96,96,
192,96,96,9,9,9,9,36,36,72,9,9,18,36,36,3,21,42,6,18,18,36,6,6,18,18,18,36,18,
18,18,18,36,6,18,9,18,9,18,36,18,36,9,12,12,36,36,12,36,18,18,36,18,18,18,18,
36,36,18,18,18,18,36,36,36,36,36,36,36,36,36,36,36,36,128,128,8,4,28,8,56,32,
32,32,96,32,48,48,24,96,96,1,2,6,3,3,3,9,18,18,18,18,6,6,18,9,9,9,18,18,9,9,9,
18,18,36,18,18,18,18,36,18,18,36,36,36,36,36,36,12,12,24,12,12,24,24,24,24,48,
3,6,18,9,9,18,16,16,32,1,2,4,8,8,8,8,24,12,12,12,24,24,1,3,6,4,8,1,1,2,1],[1,
33,78,128,128,41,21,14,168,81,252,198,72,48,180,36,36,384,384,3,15,42,42,168,
18,27,72,48,63,12,126,168,81,18,24,168,96,24,504,144,36,36,108,36,72,72,72,72,
72,144,18,36,18,54,18,18,18,72,144,24,24,256,48,128,224,160,32,96,32,48,128,
128,1,14,168,3,9,21,7,9,36,63,252,126,36,9,9,18,9,36,9,36,36,6,18,36,36,6,6,
18,36,18,18,18,18,18,36,36,54,18,72,18,18,36,36,36,144,18,18,18,36,36,18,54,
18,36,36,36,144,36,36,144,72,144,72,72,72,72,96,48,48,96,96,96,96,96,96,96,96,
192,96,96,9,9,9,9,36,36,72,9,9,18,36,36,21,3,42,6,18,18,36,6,6,18,18,18,18,36,
18,18,18,36,6,18,9,18,9,18,36,18,36,9,12,12,36,36,12,36,18,18,36,18,18,18,18,
36,36,18,18,18,18,36,36,36,36,36,36,36,36,36,36,36,36,128,128,8,28,4,8,56,32,
32,32,96,32,48,48,24,96,96,1,2,6,3,3,3,9,18,18,18,18,6,6,18,9,9,9,18,18,9,9,9,
18,18,36,18,18,18,18,36,18,18,36,36,36,36,36,36,12,12,24,12,12,24,24,24,24,48,
3,6,18,9,9,18,16,16,32,1,2,4,8,8,8,8,24,12,12,12,24,24,1,3,6,4,8,1,1,2,1],[1,
33,78,128,128,25,25,26,168,117,252,234,168,252,36,36,384,384,3,3,42,78,168,42,
63,168,48,48,63,126,168,117,126,168,168,168,504,504,36,36,36,36,72,72,72,72,
144,18,18,18,18,18,18,144,256,112,112,224,32,32,96,32,224,96,64,64,128,14,168,
14,168,21,21,13,63,252,63,252,126,126,9,36,9,36,36,18,18,36,36,18,18,18,18,36,
18,18,36,18,18,36,36,36,144,18,18,18,36,18,18,18,36,36,144,36,36,144,144,48,
48,96,96,96,96,96,96,96,96,96,192,192,9,9,9,36,36,72,9,36,36,21,21,42,42,6,18,
18,36,6,18,18,36,6,6,18,18,18,18,18,18,36,36,18,18,18,18,36,36,18,36,18,36,9,
24,64,64,128,28,28,8,8,56,56,32,32,96,32,96,32,32,48,48,1,1,18,18,18,18,18,18,
18,18,6,9,9,9,12,12,24,24,24,24,24,24,24,3,3,9,16,32,32,1,1,4,4,8,8,24,1,3,3,
4,4,1,1,2,1],[1,57,150,80,32,105,25,14,72,117,180,342,168,144,468,156,108,144,
80,336,192,336,96,3,45,18,42,72,42,117,168,48,27,36,18,24,117,126,168,96,312,
72,144,504,156,108,468,108,72,216,144,144,144,144,144,288,288,54,108,18,234,
18,72,54,54,72,144,288,72,64,112,12,8,8,8,224,24,16,48,32,48,96,48,144,336,96,
48,3,14,168,9,39,9,7,63,252,9,36,36,126,39,27,18,36,9,36,27,72,36,36,72,36,18,
18,18,36,36,36,72,18,18,18,36,54,126,126,36,72,72,36,72,72,144,72,144,234,36,
72,144,18,18,36,36,36,72,144,54,18,54,108,108,54,234,54,108,36,36,144,72,72,
288,72,72,144,288,216,216,64,128,12,112,36,48,24,96,48,48,48,192,48,36,48,24,
24,24,96,24,24,96,48,48,16,48,48,96,48,48,48,39,9,9,9,36,36,72,27,27,18,36,36,
72,3,21,42,6,18,18,36,6,42,18,126,18,18,18,18,18,18,36,36,36,18,18,36,72,18,
36,72,72,144,72,36,9,18,18,36,63,18,18,36,36,18,36,36,72,9,36,108,36,18,18,18,
18,36,18,54,36,36,36,72,36,36,36,36,36,36,36,72,72,36,36,72,16,32,64,1,28,2,
56,12,8,8,24,8,12,12,24,36,36,48,24,24,24,96,24,24,12,12,24,24,24,24,48,1,21,
9,18,36,9,21,9,18,18,18,18,18,18,36,9,9,9,18,18,18,18,18,9,9,36,36,36,36,18,
18,18,36,36,18,36,36,16,16,16,32,1,28,3,6,12,24,48,12,12,3,6,12,12,6,24,24,12,
12,12,24,24,24,24,12,12,3,9,3,9,9,9,9,18,18,18,18,4,8,16,1,1,2,12,3,3,3,6,3,6,
3,3,6,24,6,12,9,4,8,4,4,1,3,3,1,3,3,3,3,3,3,6,1,4,3,3,1,1,1,1],[1,57,150,80,
32,25,105,14,168,117,468,342,72,144,180,156,108,144,80,336,192,336,96,45,3,42,
42,168,18,27,72,48,117,36,72,126,168,117,18,24,312,96,504,144,156,468,108,108,
144,144,144,72,216,144,144,288,288,54,108,54,54,18,72,72,144,234,18,288,72,64,
12,112,224,8,8,24,8,48,16,32,48,96,144,48,336,96,48,3,14,168,9,9,39,7,9,36,63,
252,126,36,39,27,18,36,9,36,27,36,72,36,72,36,18,18,18,36,36,36,72,126,18,72,
144,36,72,18,18,36,54,126,72,36,72,72,144,36,18,18,36,36,36,72,144,72,144,54,
54,54,108,108,234,234,54,18,72,72,288,36,36,144,108,72,144,72,288,216,216,64,
128,112,12,48,36,96,24,48,48,192,48,48,48,36,96,24,96,24,24,24,24,48,16,48,48,
48,96,48,48,48,39,9,9,9,36,36,72,27,27,18,36,72,36,21,3,42,6,18,18,36,72,42,6,
18,18,18,18,18,18,18,36,36,36,18,18,36,72,36,126,18,72,72,144,36,9,18,18,36,
63,18,18,36,36,18,36,36,72,9,36,108,36,18,18,18,18,36,18,54,36,36,36,36,36,36,
72,36,36,36,36,72,72,36,36,72,16,32,64,28,1,2,56,12,8,8,24,8,12,48,36,36,12,
24,96,24,24,24,24,24,12,12,24,24,24,24,48,1,21,9,18,36,9,21,9,18,18,18,18,18,
18,36,9,9,9,18,18,18,18,18,9,9,36,36,36,36,18,18,18,36,36,18,36,36,16,16,16,
32,28,1,12,24,3,6,48,12,3,12,6,12,12,24,6,24,12,12,12,24,24,24,24,12,12,3,9,3,
9,9,9,9,18,18,18,18,4,8,16,1,1,2,3,3,3,12,6,3,6,3,3,6,6,24,12,9,4,8,4,4,1,3,3,
1,3,3,3,3,3,3,6,1,4,3,3,1,1,1,1],[1,105,140,35,35,105,315,126,420,210,105,120,
315,70,126,35,35,35,105,35,105,105,70,126,120,105,105,105,105,105,35,70,21,42,
35,21,15,15,7,1],[1,45,42,64,7,105,14,168,63,252,126,84,64,64,45,42,42,168,48,
63,126,168,63,168,504,84,252,126,112,224,192,3,14,168,21,7,63,252,126,21,126,
126,126,126,64,112,21,21,42,42,126,63,64,28,56,24,48,1,21,21,28,24,3,1,1,1,3,
1,1],[1,45,42,64,105,7,14,63,126,168,252,84,64,64,45,42,42,63,168,48,63,126,
168,168,504,84,252,126,112,224,192,3,14,168,21,7,63,252,126,21,126,126,126,
126,64,112,21,21,42,42,126,63,64,28,56,24,48,1,21,21,28,24,3,1,1,1,3,1,1],[1,
15,84,112,35,28,84,56,126,126,168,224,336,64,15,21,84,14,42,252,168,168,63,42,
84,14,84,84,28,112,56,112,112,112,64,1,7,21,21,63,63,42,84,42,63,84,42,42,84,
84,64,56,56,56,112,84,56,56,112,21,21,42,7,63,21,21,42,21,42,42,64,7,28,56,28,
28,56,8,7,7,21,21,21,21,21,14,7,21,28,8,21,16,8,7,7,7,7,7,7,8,7,7,1,1],[1,15,
84,112,35,28,84,126,56,126,168,224,336,64,15,21,14,84,42,252,168,168,42,84,63,
84,14,84,28,112,56,112,112,112,64,1,7,21,21,63,42,63,84,42,63,84,42,42,84,84,
64,56,56,56,112,84,56,56,112,21,21,42,7,63,21,21,42,21,42,42,64,7,28,28,56,28,
56,8,7,7,21,21,21,21,21,14,7,21,28,8,21,16,8,7,7,7,7,7,7,8,7,7,1,1],[1,15,84,
112,35,28,84,126,56,126,168,224,336,64,15,21,14,84,42,252,168,168,42,84,63,84,
14,84,28,28,56,112,112,112,64,1,7,21,21,63,42,63,84,42,63,84,42,42,84,84,64,
56,56,56,56,84,56,84,84,56,112,21,21,42,7,63,21,21,42,21,42,42,64,28,28,28,56,
28,28,28,28,84,56,28,8,7,7,21,21,21,21,21,7,28,28,28,8,21,8,8,7,7,7,7,8,8,8,7,
7,1],[1,15,84,112,35,28,84,56,126,126,168,224,336,64,15,21,84,14,42,252,168,
168,63,42,84,14,84,84,28,28,56,112,112,112,64,1,7,21,21,63,63,42,84,42,63,84,
42,42,84,84,64,56,56,56,56,84,56,84,56,84,112,21,21,42,7,63,21,21,42,21,42,42,
64,28,28,56,28,28,28,28,28,84,28,56,8,7,7,21,21,21,21,21,7,28,28,28,8,21,8,8,
7,7,7,7,8,8,8,7,7,1],[1,57,126,112,49,49,14,105,84,294,168,112,420,168,84,168,
112,336,336,64,7,15,42,42,63,168,21,28,105,42,56,56,224,56,336,168,168,252,84,
84,84,168,168,168,168,336,42,84,42,126,84,84,168,168,56,28,84,56,28,112,336,
336,64,1,7,21,7,7,21,84,84,21,21,42,21,42,14,21,42,42,84,63,42,84,42,42,42,84,
126,168,84,42,42,42,84,84,84,126,84,42,42,168,84,168,168,168,168,64,84,28,84,
28,28,28,56,56,56,112,84,28,28,56,56,56,56,112,56,21,21,21,42,42,7,21,14,42,
21,21,21,42,42,42,84,42,21,42,21,21,42,28,84,42,42,42,42,42,42,42,64,7,28,28,
28,84,84,28,56,28,28,56,28,56,56,56,56,56,8,7,7,21,21,21,21,21,42,42,42,42,7,
7,14,7,7,28,28,28,14,8,21,8,8,8,7,7,7,7,7,7,14,14,8,8,8,7,7,1,1],[1,57,126,
112,49,49,14,168,105,420,294,112,84,168,84,168,112,336,336,64,15,7,42,42,168,
21,63,28,56,42,56,105,224,56,336,168,252,168,84,168,84,84,168,168,336,168,42,
84,84,84,168,126,42,168,56,84,28,56,28,112,336,336,64,1,7,7,21,7,21,84,84,21,
21,42,21,42,14,21,42,42,84,42,63,42,84,42,42,84,84,168,42,42,84,84,126,126,84,
42,42,42,168,84,84,168,168,168,168,64,28,84,28,84,28,56,28,56,56,112,28,84,28,
56,56,56,56,112,56,21,21,21,42,42,7,14,21,21,21,21,42,42,42,84,42,42,21,42,21,
21,42,28,84,42,42,42,42,42,42,42,64,7,28,28,28,28,56,28,56,28,84,84,28,56,56,
56,56,56,8,7,7,21,21,21,21,21,42,42,42,42,7,7,14,7,7,28,28,28,14,8,21,8,8,8,7,
7,7,7,7,7,14,14,8,8,8,7,7,1,1],[1,29,42,112,35,35,21,84,84,112,84,28,560,64,
15,15,21,21,28,56,21,56,56,56,28,84,84,84,42,84,42,42,56,28,28,28,112,112,112,
64,1,1,7,7,7,7,7,7,21,21,28,21,14,14,42,42,42,42,42,84,84,42,42,42,84,84,56,
168,168,168,64,84,84,28,56,56,56,56,56,112,7,7,21,21,21,28,28,84,84,84,42,42,
42,84,56,64,28,28,28,28,28,28,28,28,28,56,56,56,8,8,7,7,21,28,7,28,28,28,56,8,
8,1,8,8,7,7,7,8,8,7,1,1],[1,29,42,112,49,7,14,63,126,168,252,28,560,64,17,42,
42,63,168,48,63,126,168,168,504,28,84,42,84,56,112,112,112,64,1,14,168,21,7,
63,252,126,7,42,42,42,42,64,140,168,168,112,7,21,42,14,42,21,64,7,28,56,84,28,
24,48,1,7,7,21,14,28,8,1,24,7,7,7,8,7,1,1,1,1],[1,29,42,112,7,49,14,168,63,
252,126,28,560,64,17,42,42,168,48,63,126,168,63,168,504,28,84,42,84,56,112,
112,112,64,1,14,168,21,7,63,252,126,7,42,42,42,42,64,140,168,168,112,7,21,42,
14,42,21,64,7,28,56,84,28,24,48,1,7,7,21,14,28,8,1,24,7,7,7,8,7,1,1,1,1],[1,
15,60,80,176,35,20,60,90,90,96,160,240,240,15,15,60,180,45,60,160,96,20,20,80,
220,80,240,80,80,96,1,5,15,15,45,45,45,160,120,60,60,60,60,96,15,15,45,80,80,
11,20,5,20,20,20,60,60,16,48,5,6,10,15,15,10,20,6,16,5,5,5,5,6,10,6,5,1,1],[1,
15,60,80,176,35,20,60,90,90,96,160,240,240,15,15,60,180,45,60,160,96,20,80,
220,80,240,20,80,80,96,1,5,15,15,45,45,45,160,120,60,60,60,60,96,15,15,45,80,
80,11,20,5,20,20,20,60,60,16,48,5,6,10,15,15,10,20,6,16,5,5,5,5,6,10,6,5,1,
1],[1,65,222,64,61,77,50,504,261,804,594,312,240,612,220,228,336,64,320,320,
21,17,126,150,504,78,117,312,144,48,201,60,72,378,504,261,162,216,536,360,104,
1512,792,220,420,372,228,408,168,408,360,216,456,336,336,480,816,480,114,180,
114,186,90,120,168,240,210,90,216,240,816,72,24,120,48,16,48,32,48,64,64,64,
192,192,320,64,1,1,42,504,14,168,9,13,39,67,25,81,324,189,756,378,198,25,25,
39,27,28,30,60,54,60,45,180,57,180,204,18,6,54,108,42,84,108,60,36,36,72,26,
18,6,18,42,90,66,180,132,84,168,54,162,90,120,240,78,156,54,78,114,90,180,54,
126,108,84,60,120,60,120,120,240,72,144,72,72,144,150,54,216,240,42,90,90,180,
180,180,168,240,120,720,42,114,114,114,228,180,210,150,186,90,156,204,204,816,
180,180,720,108,120,240,120,120,216,240,816,56,216,216,360,72,312,216,72,24,
24,24,48,48,48,48,48,16,80,48,48,96,48,96,32,32,64,80,48,48,96,96,32,32,96,64,
64,96,96,64,64,64,64,64,25,25,45,45,45,180,180,360,39,27,57,28,54,60,30,60,
204,180,63,27,126,42,18,54,54,108,30,90,90,180,120,54,38,18,18,78,66,66,90,90,
90,66,180,132,84,54,54,60,120,30,30,60,120,78,126,90,36,36,84,108,120,240,72,
144,72,18,6,42,54,36,15,30,30,60,63,27,54,30,60,39,66,90,180,132,90,180,54,
108,60,120,36,72,45,36,12,60,108,156,36,108,84,36,108,12,36,54,54,18,18,60,
108,36,30,30,30,30,60,54,54,54,54,108,36,36,36,36,108,18,54,54,30,18,78,18,54,
54,42,84,56,72,60,60,60,12,36,72,72,84,84,84,60,60,60,36,12,36,36,36,36,36,72,
72,36,72,36,72,72,120,108,36,60,108,36,12,12,12,12,108,108,108,60,60,60,84,84,
36,108,108,108,36,72,72,72,36,60,60,108,84,108,108,108,72,72,12,24,24,24,24,
24,24,24,24,24,48,4,16,16,32,48,48,16,16,48,96,48,96,80,48,48,16,32,48,16,32,
48,96,96,32,32,32,16,16,16,16,16,16,32,32,96,96,32,32,32,64,1,3,2,6,6,18,7,21,
15,30,60,9,18,36,3,13,9,9,21,13,21,27,30,15,30,90,66,90,90,90,54,54,54,36,60,
6,18,18,54,6,18,18,45,27,15,15,30,27,27,54,18,54,18,18,9,9,3,3,18,18,18,18,18,
18,18,18,36,30,30,30,30,30,30,30,18,18,18,36,27,15,9,27,9,45,4,36,12,36,36,36,
36,36,60,60,60,84,60,60,60,36,36,36,36,12,36,36,36,36,12,36,4,12,36,36,36,36,
28,30,30,18,18,6,6,18,18,36,36,6,54,54,108,18,18,36,6,6,30,54,54,18,18,18,54,
54,42,108,60,72,30,18,54,54,18,36,36,60,60,108,108,108,108,72,12,12,12,12,108,
108,36,36,12,12,12,12,24,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,24,36,36,36,12,12,12,12,12,12,12,12,24,24,4,12,8,12,12,12,16,16,48,
48,16,16,8,16,16,16,16,16,16,16,16,16,32,16,16,16,16,16,16,32,32,1,3,9,15,1,
15,9,3,9,1,3,18,18,18,18,6,18,18,54,2,6,6,18,9,9,9,3,3,6,6,6,9,9,18,18,18,9,9,
9,15,3,9,9,9,15,15,6,18,18,18,9,27,27,15,9,3,27,6,18,18,18,6,30,18,18,18,18,6,
6,18,18,30,30,36,36,6,6,6,6,18,54,30,18,18,18,18,30,6,6,6,6,12,6,6,6,6,6,6,6,
6,12,12,12,12,12,12,12,12,12,36,36,12,12,12,12,12,12,12,12,12,4,8,24,4,12,12,
4,4,4,12,12,4,4,4,4,4,12,12,12,12,4,4,4,8,8,24,16,16,16,3,1,3,3,3,9,9,9,9,3,
15,9,9,3,9,9,3,9,9,3,9,9,3,3,3,3,3,3,3,3,3,3,3,3,3,6,6,18,18,6,6,6,6,6,6,6,6,
4,4,4,4,4,4,4,4,4,4,4,12,4,12,4,4,4,4,4,4,4,8,8,8,3,3,1,3,3,3,3,3,3,3,3,3,3,3,
3,1,4,4,4,3,1,1,1,1],[1,65,222,64,77,61,50,312,261,612,594,504,240,804,220,
228,336,64,320,320,17,21,78,150,312,126,201,504,48,144,117,60,104,162,216,261,
378,504,360,536,72,792,1512,220,372,420,228,360,216,456,408,168,408,336,336,
480,816,480,114,180,90,210,90,216,168,240,186,114,120,240,816,24,72,120,48,48,
16,32,48,64,64,64,192,192,320,64,1,1,14,168,42,504,13,9,67,39,25,189,756,81,
324,198,378,25,25,27,39,28,54,60,30,60,45,180,57,204,180,6,18,42,84,54,108,60,
108,36,36,72,18,26,18,6,42,66,90,132,180,84,168,90,114,54,72,144,90,180,54,
126,162,78,156,54,78,84,108,60,120,60,120,72,144,120,240,72,120,240,150,42,
120,240,54,90,90,180,180,180,168,240,216,720,42,114,90,114,228,180,186,150,
210,114,108,180,180,720,204,204,816,156,120,240,216,120,120,240,816,56,312,72,
360,216,216,72,216,24,24,24,48,48,48,48,16,48,48,80,48,32,48,32,96,96,64,48,
80,48,32,32,96,96,96,64,64,96,96,64,64,64,64,64,25,25,45,45,45,180,180,360,27,
39,57,28,30,60,54,60,180,204,27,63,42,126,30,90,90,180,18,54,54,108,72,38,54,
18,18,126,90,90,66,66,66,90,132,180,84,30,30,60,120,54,54,60,120,90,78,78,36,
36,108,84,72,144,120,240,120,6,18,54,42,36,27,54,30,60,39,15,30,30,60,63,90,
66,132,180,54,108,90,180,36,72,60,120,45,12,36,60,36,108,108,156,84,12,36,36,
108,18,18,54,54,108,60,36,54,54,54,54,108,30,30,30,30,60,36,36,36,108,36,54,
30,18,54,18,54,54,18,78,42,84,56,72,60,60,60,36,36,120,72,84,84,84,60,60,60,
12,36,36,36,36,12,36,72,72,36,72,36,72,72,72,36,108,108,60,36,12,12,12,12,60,
60,60,108,108,108,108,108,108,36,84,84,36,72,72,72,108,108,108,36,108,60,60,
84,72,72,12,24,24,24,24,24,24,24,24,24,48,4,16,16,32,16,16,48,48,16,32,16,32,
48,48,48,48,96,80,48,96,48,32,32,96,96,32,16,16,16,16,16,16,32,32,96,32,96,32,
32,64,3,1,6,18,2,6,21,7,9,18,36,15,30,60,9,9,13,3,21,21,13,15,30,27,30,66,90,
54,54,54,90,90,90,60,36,18,6,6,18,18,54,18,27,45,27,27,54,15,15,30,54,18,18,
18,3,3,9,9,18,18,18,18,18,18,18,18,36,18,30,30,30,30,30,30,30,18,18,36,9,27,9,
15,27,45,12,36,4,36,36,36,36,36,60,60,60,84,60,60,60,12,36,36,36,36,36,36,36,
36,4,12,12,36,36,36,36,36,28,18,18,30,30,18,18,6,6,36,36,6,18,18,36,54,54,108,
6,6,54,18,30,54,18,54,42,18,54,60,108,72,54,54,30,18,18,108,108,108,108,60,60,
36,36,72,12,12,12,12,36,36,108,108,12,12,12,12,24,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,24,36,36,36,12,12,12,12,12,12,12,12,24,24,4,
12,8,12,12,12,16,16,16,16,48,48,8,16,16,16,16,16,16,16,16,16,32,16,16,16,16,
16,16,32,32,3,1,15,9,1,9,15,1,3,3,9,18,18,18,18,18,54,6,18,6,18,2,6,9,9,9,9,9,
18,18,18,3,3,6,6,6,9,15,9,9,9,3,15,15,9,9,18,6,18,18,9,15,9,27,27,3,27,18,6,
18,30,18,18,18,6,30,30,18,18,6,6,18,18,36,36,6,6,6,6,54,18,30,18,18,18,18,30,
6,6,6,6,12,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,36,36,12,12,12,12,12,12,
12,12,12,4,8,24,12,4,12,4,4,4,12,4,12,4,4,4,12,12,12,12,4,4,4,4,8,8,24,16,16,
16,1,3,3,3,3,9,9,9,9,3,9,9,15,9,3,9,9,3,9,3,3,3,9,9,3,3,3,3,3,3,3,3,3,3,3,18,
18,6,6,6,6,6,6,6,6,6,6,4,4,4,4,4,4,4,4,4,4,4,12,12,4,4,4,4,4,4,4,4,8,8,8,3,3,
3,1,3,3,3,3,3,3,3,3,3,3,3,1,4,4,4,3,1,1,1,1],[1,65,222,64,109,53,26,216,189,
516,522,312,432,756,220,228,336,64,320,320,17,45,54,78,216,78,153,312,48,48,
117,108,168,138,184,189,162,216,328,456,216,600,792,220,372,612,324,312,168,
408,312,312,408,336,336,480,720,672,162,324,90,306,66,120,168,240,186,90,264,
336,720,72,24,216,48,112,224,64,64,64,192,192,320,64,1,3,14,168,14,168,21,27,
51,39,13,81,324,69,276,150,198,51,25,81,63,84,30,60,66,84,33,132,81,156,156,
18,6,78,156,42,84,132,60,60,60,120,54,42,6,18,126,66,42,132,84,84,168,30,66,
54,72,144,54,108,90,162,162,78,156,54,54,156,84,84,168,60,120,72,144,120,240,
120,120,240,306,78,264,336,42,66,66,132,132,132,168,240,120,528,126,162,90,
162,324,324,186,150,306,90,324,156,156,624,156,156,624,252,120,240,120,168,
264,336,720,168,504,216,648,72,648,216,72,24,24,24,48,48,48,48,112,80,160,320,
80,160,160,64,64,64,64,64,64,64,51,25,33,33,33,132,132,264,81,63,81,84,66,84,
30,60,156,156,23,27,42,42,10,30,30,60,18,54,54,108,72,22,54,18,30,162,42,42,
66,66,66,42,132,84,84,66,66,84,168,30,30,60,120,54,54,78,60,60,84,156,72,144,
120,240,120,18,6,42,78,60,15,30,30,60,27,33,66,42,84,81,42,66,132,84,54,108,
30,60,36,72,60,120,33,36,12,108,108,324,36,252,252,36,108,12,36,54,54,18,18,
60,132,60,30,30,30,30,60,66,66,66,66,132,60,60,60,36,108,18,66,54,30,30,162,
18,54,126,126,252,168,24,84,84,84,36,36,120,72,84,84,84,60,60,60,36,36,60,60,
60,36,36,72,72,12,24,12,24,24,72,108,36,60,132,60,12,12,12,12,132,132,132,60,
60,60,84,84,36,108,156,156,60,120,120,120,36,60,60,108,84,132,132,156,120,120,
12,24,24,24,24,24,24,24,24,24,48,28,56,16,32,48,48,80,48,96,160,96,16,16,32,
64,1,1,2,6,6,18,21,7,9,18,36,15,30,60,3,27,21,9,63,27,9,33,42,15,30,66,42,54,
54,54,30,30,30,60,36,6,18,18,54,6,18,6,27,15,15,15,30,33,33,66,18,54,30,30,9,
9,9,9,30,30,30,30,30,30,6,6,12,18,30,30,30,42,42,42,30,18,18,36,27,15,15,33,9,
33,12,36,12,60,60,60,60,60,60,60,60,84,84,84,84,36,36,36,36,36,12,12,12,12,12,
36,12,36,60,60,60,60,84,18,18,30,30,18,18,18,18,12,36,6,54,54,108,18,18,36,6,
6,30,54,66,18,30,18,78,54,42,132,60,120,30,18,66,54,30,36,36,60,60,132,132,
108,108,120,12,12,12,12,108,108,36,36,12,12,12,12,24,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,24,60,60,60,12,12,12,12,12,12,12,12,24,24,
28,20,40,80,20,16,48,40,40,16,16,16,32,16,16,3,1,15,9,3,9,5,3,9,3,9,30,30,30,
30,6,18,18,54,6,18,6,18,15,15,15,9,9,18,18,18,9,9,18,18,18,9,15,3,9,9,9,15,15,
9,9,18,18,18,6,15,33,27,15,9,3,9,18,18,6,30,18,18,18,18,30,30,18,18,18,18,18,
18,36,12,6,6,6,6,18,54,42,30,30,6,18,30,6,6,6,6,12,6,6,6,6,6,6,6,6,12,12,12,
12,12,12,12,12,12,60,60,12,12,12,12,12,12,12,12,12,1,4,8,20,12,12,4,12,4,24,
40,24,8,16,3,1,1,3,1,3,3,9,9,3,9,9,15,9,9,3,9,9,15,3,9,9,9,9,3,3,3,3,3,3,3,3,
3,3,3,18,18,18,18,6,6,6,6,6,6,6,6,1,5,5,4,4,4,4,12,4,4,8,1,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,1,1,3,5,3,1,1,4,3,1,1,1,1,1,1,1,1],[1,65,222,64,53,109,26,312,189,
756,522,216,432,516,220,228,336,64,320,320,45,17,78,78,312,54,117,216,48,48,
153,108,216,162,216,189,138,184,456,328,168,792,600,220,612,372,324,312,312,
408,312,168,408,336,336,672,720,480,162,324,90,186,66,264,168,336,306,90,120,
240,720,24,72,216,48,112,224,64,64,64,192,192,320,64,3,1,14,168,14,168,27,21,
39,51,13,69,276,81,324,198,150,25,51,63,81,84,66,84,30,60,33,132,81,156,156,6,
18,42,84,78,156,60,132,60,60,120,42,54,18,6,126,42,66,84,132,84,168,54,162,30,
120,240,78,156,54,54,66,54,108,90,162,84,156,60,120,84,168,120,240,72,144,120,
72,144,150,42,120,240,78,66,66,132,132,132,168,336,264,528,126,162,90,162,324,
324,306,306,186,90,252,156,156,624,156,156,624,324,168,336,264,120,120,240,
720,168,648,72,648,216,504,72,216,24,24,24,48,48,48,48,112,80,160,320,80,160,
160,64,64,64,64,64,64,64,25,51,33,33,33,132,132,264,63,81,81,84,30,60,66,84,
156,156,27,23,42,42,18,54,54,108,10,30,30,60,120,54,22,30,18,54,66,66,42,42,
42,66,84,132,84,30,30,60,120,66,66,84,168,78,162,54,60,60,156,84,120,240,72,
144,72,6,18,78,42,60,33,66,42,84,81,15,30,30,60,27,66,42,84,132,30,60,54,108,
60,120,36,72,33,12,36,108,36,252,108,324,252,12,36,36,108,18,18,54,54,132,60,
60,66,66,66,66,132,30,30,30,30,60,60,60,60,108,36,54,30,18,66,30,126,54,18,
162,126,252,168,24,60,60,60,36,12,72,24,84,84,84,84,84,84,36,36,60,60,60,36,
12,24,24,36,72,36,72,72,120,36,108,132,60,60,12,12,12,12,60,60,60,132,132,132,
156,156,108,36,84,84,60,120,120,120,108,132,132,36,156,60,60,84,120,120,12,24,
24,24,24,24,24,24,24,24,48,28,56,16,32,48,48,96,80,48,160,96,16,16,32,64,1,1,
6,18,2,6,7,21,15,30,60,9,18,36,9,21,27,3,63,9,27,15,30,33,42,42,66,30,30,30,
54,54,54,36,60,18,6,6,18,18,54,6,15,27,33,33,66,15,15,30,54,18,30,30,9,9,9,9,
30,30,30,30,30,30,18,18,36,30,42,42,42,30,30,30,18,6,6,12,9,33,15,15,27,33,12,
12,12,60,60,60,60,60,84,84,84,84,60,60,60,36,12,12,12,36,36,36,36,36,12,36,12,
36,60,60,60,60,84,30,30,18,18,18,18,18,18,36,12,6,18,18,36,54,54,108,6,6,66,
18,30,54,30,54,42,18,78,60,132,120,66,54,30,18,30,108,108,132,132,60,60,36,36,
120,12,12,12,12,36,36,108,108,12,12,12,12,24,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,24,60,60,60,12,12,12,12,12,12,12,12,24,24,28,20,40,
80,20,16,48,40,40,16,16,16,32,16,16,1,3,9,15,3,5,9,3,9,3,9,30,30,30,30,18,54,
6,18,6,18,6,18,15,15,15,9,9,18,18,18,9,9,18,18,18,3,9,9,15,9,9,9,9,15,15,18,
18,6,18,15,15,9,33,27,3,9,18,18,18,18,18,30,6,18,18,18,18,18,18,18,30,30,12,
36,6,6,6,6,54,18,30,30,30,18,6,42,6,6,6,6,12,6,6,6,6,6,6,6,6,12,12,12,12,12,
12,12,12,12,60,60,12,12,12,12,12,12,12,12,12,1,4,8,12,20,12,4,12,4,24,40,24,8,
16,1,3,1,1,3,9,9,3,3,3,15,3,9,9,9,9,9,9,15,3,9,9,9,9,3,3,3,3,3,3,3,3,3,3,3,18,
18,18,18,6,6,6,6,6,6,6,6,1,5,5,4,4,4,4,12,4,4,8,3,1,3,3,3,3,3,3,3,3,3,3,3,3,3,
1,1,3,5,3,1,1,4,3,1,1,1,1,1,1,1,1],[1,21,42,176,224,7,21,14,168,63,252,126,
336,672,64,3,42,42,168,48,63,126,168,63,168,504,448,84,112,224,56,56,168,56,
112,224,14,168,21,7,63,252,126,64,128,64,84,168,168,168,168,168,336,21,42,112,
224,28,7,14,56,56,56,168,56,84,24,48,64,1,21,42,28,56,24,48,1,7,14,1,7,1,1,2,
1],[1,21,42,176,224,21,7,14,63,126,168,252,336,672,64,3,42,42,63,168,48,63,
126,168,168,504,448,112,84,56,56,56,224,168,112,224,14,168,21,7,63,252,126,64,
128,64,84,168,168,168,168,168,336,21,42,112,224,7,28,14,56,56,56,168,56,84,24,
48,64,1,21,42,28,56,24,48,1,7,14,1,7,1,1,2,1],[1,57,150,128,128,109,25,26,168,
153,252,378,312,144,612,156,108,144,64,192,768,384,3,45,42,78,168,78,117,312,
48,48,63,36,126,168,153,162,216,168,360,72,504,792,156,108,468,108,216,216,
216,216,216,144,144,432,288,54,108,54,234,54,72,54,54,216,144,432,72,72,256,
112,112,224,32,32,96,32,224,96,64,256,128,192,192,192,3,14,168,14,168,9,39,21,
13,81,324,63,252,126,198,39,27,54,36,27,108,27,108,108,18,54,108,108,18,18,54,
18,108,36,36,72,18,18,54,18,36,54,162,162,54,108,108,36,72,72,144,72,144,234,
54,216,144,54,54,108,108,108,72,432,54,54,54,108,108,54,234,54,108,108,108,
432,108,108,432,72,216,144,432,216,216,216,216,256,112,48,96,192,144,48,288,
96,96,96,288,96,96,96,96,192,192,64,192,39,27,27,27,108,108,216,27,27,54,36,
108,108,21,27,42,42,6,18,18,36,18,54,54,108,6,54,18,162,18,18,54,54,54,18,108,
36,36,54,54,36,72,18,54,108,72,144,72,18,54,27,54,18,36,81,18,54,108,36,54,
108,18,36,36,72,27,36,36,108,108,36,108,54,54,108,54,54,54,54,108,108,54,54,
54,54,24,36,36,36,36,72,72,36,36,36,36,72,72,108,108,108,108,108,108,108,108,
108,108,108,108,64,64,128,28,28,8,8,56,56,48,32,32,96,32,96,32,32,48,48,48,48,
96,96,48,1,1,6,18,21,9,18,36,9,9,27,27,18,54,18,54,54,54,18,18,18,36,18,18,54,
6,27,9,27,27,54,54,18,18,18,18,18,18,36,27,27,27,36,36,36,36,36,36,36,36,18,
18,36,54,54,108,54,54,54,54,108,54,54,108,108,108,108,108,108,64,64,28,12,24,
48,12,36,24,24,48,72,24,24,72,24,48,3,9,9,3,18,54,9,9,9,9,18,27,27,9,18,18,18,
18,36,54,18,18,16,32,32,1,1,4,4,8,8,24,12,12,36,12,24,24,24,3,1,3,9,9,9,9,16,
1,3,3,9,4,12,3,4,4,1,1,3,2,3,3,3,4,4,1,3,1,1],[1,57,150,128,128,25,109,26,312,
153,612,378,168,144,252,156,108,144,64,192,768,384,45,3,78,78,312,42,63,168,
48,48,117,36,72,162,216,153,126,168,360,168,792,504,156,468,108,108,216,216,
216,216,216,144,144,288,432,54,108,54,54,54,216,72,144,234,54,432,72,72,256,
112,112,224,32,32,96,32,224,96,256,64,128,192,192,192,3,14,168,14,168,9,21,39,
13,63,252,81,324,198,126,39,27,54,36,27,108,27,108,108,18,54,108,108,18,18,18,
54,36,108,36,72,54,162,18,72,144,54,108,18,18,36,54,162,108,36,72,72,144,54,
54,54,108,108,108,72,144,216,432,54,54,54,108,108,234,234,54,54,108,108,432,
108,108,432,108,72,144,216,432,216,216,216,216,256,112,48,96,192,48,144,96,96,
96,288,96,96,96,96,288,192,192,64,192,39,27,27,27,108,108,216,27,27,54,36,108,
108,27,21,42,42,18,54,54,108,6,18,18,36,72,54,6,18,54,54,18,18,18,54,36,108,
36,54,54,36,72,54,162,18,108,72,144,18,54,27,54,18,36,81,54,18,36,108,18,36,
54,108,36,72,27,36,36,108,108,36,108,54,54,108,54,54,54,54,108,108,54,54,54,
54,24,36,36,36,36,36,36,36,72,36,72,72,72,108,108,108,108,108,108,108,108,108,
108,108,108,64,64,128,28,28,8,8,56,56,48,32,32,96,32,96,32,32,48,48,48,96,48,
96,48,1,1,6,18,21,9,18,36,9,9,27,27,18,18,54,18,18,18,54,54,54,36,18,18,54,6,
9,27,27,27,54,54,18,18,36,18,18,18,18,27,27,27,36,36,36,36,36,36,36,36,18,18,
36,54,54,108,54,54,54,54,108,54,54,108,108,108,108,108,108,64,64,28,12,24,48,
36,12,24,24,48,24,72,72,24,24,48,3,9,3,9,18,54,9,9,9,9,18,27,27,9,18,18,18,18,
36,54,18,18,16,32,32,1,1,4,4,8,8,24,12,12,36,12,24,24,24,3,1,3,9,9,9,9,16,1,3,
9,3,4,12,3,4,4,1,1,3,2,3,3,3,4,4,1,3,1,1],[1,57,150,128,128,33,77,50,504,225,
756,450,168,48,252,156,108,144,64,192,768,384,21,3,126,150,504,42,63,168,144,
48,189,12,24,378,504,225,126,168,504,168,1512,504,156,324,108,108,216,72,216,
216,216,144,144,288,432,54,36,54,54,54,72,72,144,162,54,432,24,24,256,128,48,
32,32,160,224,48,96,128,192,128,192,192,192,1,42,504,14,168,3,21,63,25,63,252,
189,756,378,126,21,9,18,36,27,108,27,108,108,6,18,36,36,6,6,54,54,108,108,36,
72,54,162,54,72,144,54,108,54,54,108,18,126,36,36,72,72,144,18,54,54,108,108,
108,72,144,72,432,54,54,54,108,36,162,126,54,54,108,108,432,108,108,432,36,72,
144,72,432,72,72,72,72,256,48,16,48,48,48,96,48,96,48,192,48,96,96,96,96,288,
96,96,288,192,64,96,96,192,21,27,27,27,108,108,216,9,27,18,36,108,108,63,21,
126,42,18,54,54,108,18,54,54,108,72,54,18,6,54,54,54,54,54,54,108,108,36,18,
18,36,72,54,126,54,36,72,144,6,18,9,18,18,36,63,54,54,108,108,54,108,54,108,
36,72,27,12,12,36,36,12,36,18,18,36,18,18,18,18,36,36,18,18,18,18,72,36,36,36,
36,36,36,36,72,36,72,72,72,36,36,36,36,36,36,36,36,36,36,36,36,128,128,8,4,28,
8,56,32,32,32,96,96,32,48,48,144,24,48,96,48,96,48,48,48,48,96,96,48,96,96,1,
3,2,6,21,9,18,36,3,3,21,9,18,54,54,54,54,54,54,54,54,36,6,6,18,18,27,27,9,9,
18,18,18,18,36,18,18,18,18,9,9,27,36,36,36,36,36,36,36,36,18,18,36,18,18,36,
18,18,18,18,36,18,18,36,36,36,36,36,36,64,64,4,12,36,12,24,12,12,16,48,48,24,
72,24,72,48,48,3,9,9,9,6,18,9,9,9,9,18,9,9,27,18,18,18,18,36,18,18,18,16,16,
32,1,2,4,12,8,8,8,8,24,12,12,12,12,12,12,12,12,12,12,24,24,1,3,3,9,9,9,9,16,
16,9,4,6,12,12,12,3,4,8,3,1,1,2,3,4,1,3,1,1],[1,57,150,128,128,77,33,50,168,
225,252,450,504,48,756,156,108,144,64,192,768,384,3,21,42,150,168,126,189,504,
48,144,63,12,126,168,225,378,504,168,504,24,504,1512,156,108,324,108,216,216,
216,72,216,144,144,432,288,54,36,54,162,54,72,54,54,72,144,432,24,24,256,48,
128,224,160,32,96,32,48,192,128,128,192,192,192,1,14,168,42,504,3,63,21,25,
189,756,63,252,126,378,21,9,18,36,27,108,27,108,108,6,18,36,36,6,6,54,54,108,
108,36,72,54,54,54,54,108,18,126,162,54,108,36,36,72,72,144,72,144,126,18,72,
144,54,54,108,108,108,72,432,54,54,54,108,36,54,162,54,36,108,108,432,108,108,
432,72,72,144,432,72,72,72,72,256,16,48,48,48,48,48,96,96,192,48,48,288,96,96,
288,96,96,96,96,192,64,96,96,192,21,27,27,27,108,108,216,9,27,18,36,108,108,
21,63,42,126,18,54,54,108,18,54,54,108,18,54,6,126,54,54,54,54,54,54,108,108,
36,18,18,36,72,54,54,36,72,144,72,6,18,9,18,18,36,63,54,54,108,108,54,108,54,
108,36,72,27,12,12,36,36,12,36,18,18,36,18,18,18,18,36,36,18,18,18,18,72,36,
36,36,36,72,72,36,36,36,36,72,72,36,36,36,36,36,36,36,36,36,36,36,36,128,128,
8,28,4,8,56,32,32,32,96,32,96,144,48,48,24,48,48,48,96,48,48,96,48,96,96,48,
96,96,3,1,2,6,21,9,18,36,3,3,21,9,18,54,54,54,54,54,54,54,54,36,6,6,18,18,27,
27,9,9,18,18,18,18,18,18,18,18,36,9,9,27,36,36,36,36,36,36,36,36,18,18,36,18,
18,36,18,18,18,18,36,18,18,36,36,36,36,36,36,64,64,4,12,12,36,24,12,12,16,48,
48,24,72,24,72,48,48,3,9,9,9,6,18,9,9,9,9,18,9,9,27,18,18,18,18,36,18,18,18,
16,16,32,1,2,12,4,8,8,8,8,24,12,12,12,12,12,12,12,12,12,12,24,24,1,3,3,9,9,9,
9,16,16,9,4,6,12,12,12,3,4,8,3,1,1,2,3,4,1,3,1,1],[1,33,222,128,128,21,41,14,
72,153,180,198,312,336,540,108,324,432,768,768,384,384,15,3,18,42,72,78,99,
168,48,27,84,24,18,24,81,162,168,96,168,144,144,648,36,180,180,108,216,72,72,
288,360,576,288,288,288,864,18,108,126,54,54,216,216,144,54,90,288,288,288,72,
24,24,144,256,128,48,32,32,160,224,48,96,128,128,384,384,384,384,1,14,168,3,
18,21,9,7,81,252,9,36,36,126,9,18,9,54,36,72,72,27,36,9,72,36,18,6,18,36,18,
36,72,108,72,6,6,18,54,54,36,108,108,144,18,18,36,144,18,36,36,36,18,72,126,
18,108,36,72,216,36,144,144,288,72,144,288,36,90,288,288,18,54,54,36,108,36,
144,72,288,18,126,54,36,108,54,54,18,18,72,36,36,288,144,72,144,36,72,216,288,
288,144,72,216,72,72,216,72,72,72,72,144,144,144,144,256,96,96,288,96,192,192,
576,384,192,48,96,48,96,96,96,96,96,96,96,96,192,96,96,384,384,9,27,9,9,72,36,
72,18,9,9,72,72,18,36,36,3,21,42,6,18,18,36,36,36,6,42,18,54,18,36,18,36,36,
72,54,36,108,144,18,18,18,18,36,36,72,144,288,144,18,6,18,18,27,18,18,9,18,36,
36,72,18,18,36,36,18,36,72,72,144,9,36,12,12,108,36,36,12,36,18,18,18,18,36,
18,54,18,54,36,18,18,36,36,36,36,36,18,18,18,18,54,18,36,36,36,72,36,36,36,36,
36,108,36,72,72,72,36,36,36,36,36,36,36,72,36,36,36,108,36,36,36,36,72,36,72,
36,36,36,72,36,36,36,36,72,72,72,72,72,72,72,72,72,144,128,128,8,4,28,8,56,32,
32,32,96,32,48,48,24,48,48,96,96,96,96,96,96,48,96,48,96,96,96,96,96,96,96,96,
96,1,2,6,18,18,36,72,3,3,9,3,18,36,9,18,18,18,18,18,72,6,6,18,9,27,9,18,18,18,
18,18,9,27,18,18,18,18,18,18,36,9,9,9,9,36,36,36,36,36,36,36,36,36,36,36,36,
18,18,36,18,18,18,36,18,18,18,18,18,18,36,18,36,36,18,18,18,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
128,128,24,24,48,48,96,48,12,12,24,12,12,24,24,24,24,48,96,48,96,96,96,96,48,
48,96,18,3,9,9,18,6,18,9,9,18,9,9,18,9,9,9,9,18,18,18,36,18,18,18,18,18,18,18,
18,18,18,18,18,36,36,36,36,36,36,36,36,36,16,16,32,1,2,4,8,8,8,8,24,12,12,24,
12,12,24,12,12,12,12,12,12,12,24,24,24,24,24,24,24,24,1,9,9,9,9,9,9,18,18,18,
18,16,16,32,6,3,6,12,12,12,12,12,24,24,24,24,24,24,9,4,8,1,1,2,3,3,6,6,4,8,3,
3,6,1,1],[1,33,222,128,128,41,21,14,312,153,540,198,72,336,180,108,324,432,
768,768,384,384,3,15,78,42,168,18,27,72,48,99,84,144,162,168,81,18,24,168,96,
24,648,144,36,180,180,108,288,360,576,216,72,72,288,288,864,288,18,108,90,54,
54,288,216,288,54,126,216,144,288,24,72,24,144,256,48,128,224,160,32,96,32,48,
128,128,384,384,384,384,1,14,168,18,3,9,21,7,9,36,81,252,126,36,9,9,18,72,72,
54,36,27,36,9,36,72,6,18,18,36,18,36,108,72,72,6,18,6,54,54,108,36,108,144,36,
18,18,144,288,72,126,18,18,18,36,36,36,36,108,36,72,216,144,288,144,72,144,54,
18,72,90,54,54,108,36,36,144,288,288,288,54,18,18,36,108,18,36,54,126,36,72,
144,144,36,36,288,72,216,288,288,72,144,72,72,216,72,72,216,72,72,72,144,144,
144,144,256,96,96,96,288,192,192,384,192,576,96,48,48,96,96,96,96,96,96,96,96,
192,96,96,384,384,9,9,27,9,36,72,72,9,18,9,18,72,72,36,36,21,3,42,36,36,6,18,
18,36,144,6,42,18,36,18,54,18,36,36,72,18,18,36,54,108,144,18,18,36,72,36,144,
288,6,18,18,18,18,36,36,72,27,18,18,9,18,18,36,18,36,36,72,144,72,9,12,36,12,
36,36,108,12,36,18,18,18,18,36,18,18,36,54,18,54,18,36,36,36,36,36,18,18,18,
18,54,18,36,108,72,36,36,36,36,36,36,36,72,36,72,72,36,36,36,36,36,36,36,36,
108,36,72,36,36,36,72,36,36,36,72,72,36,36,36,36,36,36,36,72,72,72,72,72,72,
72,72,72,144,128,128,8,28,4,8,56,32,32,32,96,32,48,48,24,96,96,48,48,96,96,96,
96,96,48,48,96,96,96,96,96,96,96,96,96,1,2,6,18,36,72,18,9,3,3,3,9,18,36,18,
18,18,18,18,72,6,6,18,9,18,9,27,18,18,18,18,27,9,18,18,18,18,36,18,18,9,9,9,9,
36,36,36,36,36,36,36,36,36,36,36,36,18,18,36,18,18,18,36,18,18,18,18,18,36,18,
18,36,36,18,18,18,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,128,128,24,48,24,48,96,48,12,12,24,12,12,
24,24,24,24,96,48,48,96,96,96,96,48,48,96,18,3,9,9,18,6,18,9,9,18,9,9,18,9,9,
9,9,18,18,18,36,18,18,18,18,18,18,18,18,18,18,18,18,36,36,36,36,36,36,36,36,
36,16,16,32,1,2,4,8,8,8,8,24,12,12,24,12,12,24,12,12,12,12,12,12,12,24,24,24,
24,24,24,24,24,1,9,9,9,9,9,9,18,18,18,18,16,16,32,6,3,6,12,12,12,12,12,24,24,
24,24,24,24,9,4,8,1,1,2,3,3,6,6,4,8,3,3,6,1,1],[1,57,150,128,128,41,105,14,
168,117,468,342,72,336,324,156,108,144,64,192,768,384,45,15,42,42,168,18,63,
72,48,117,84,168,126,168,117,18,24,312,192,168,504,144,156,468,252,252,144,
144,144,72,72,216,144,144,288,288,288,126,252,54,126,18,72,72,144,234,18,72,
144,288,24,168,256,48,128,224,160,32,96,32,48,192,128,128,192,192,192,3,1,14,
168,21,21,21,39,7,9,36,63,252,126,36,21,39,63,63,84,18,36,18,36,9,36,63,36,72,
6,18,36,36,72,36,36,36,36,72,42,42,6,126,18,18,36,36,36,72,126,18,72,144,36,
72,18,18,18,18,36,54,126,36,72,36,72,36,72,72,144,72,126,18,72,144,36,18,18,
36,36,36,72,144,72,144,126,126,54,126,252,252,234,234,126,18,252,72,72,288,36,
36,144,252,72,144,72,72,72,144,288,168,504,72,504,504,72,256,112,48,96,192,96,
144,48,96,192,96,96,96,96,96,96,96,192,64,96,96,192,21,39,9,9,9,36,36,72,63,
63,63,84,18,36,18,36,72,36,21,3,42,6,18,18,36,72,42,6,18,6,18,18,18,18,18,18,
18,36,36,36,18,18,36,72,18,18,36,72,36,126,18,36,36,72,36,72,144,6,36,18,36,9,
18,18,36,63,9,18,18,36,9,18,18,36,36,18,36,36,72,9,12,84,36,252,252,252,12,36,
18,18,36,36,36,18,18,18,18,36,18,18,18,18,36,36,36,36,36,18,18,18,18,126,18,
126,126,252,168,36,36,36,36,36,36,36,36,36,36,36,36,36,36,72,36,36,36,36,36,
36,36,36,36,36,72,72,36,36,36,36,72,72,72,36,36,36,72,36,36,36,72,72,128,128,
8,28,4,8,56,48,32,32,32,96,32,48,48,48,48,24,48,48,96,96,48,48,48,96,96,96,96,
1,2,6,21,9,18,36,21,21,3,63,3,21,9,18,9,18,18,18,18,18,18,36,6,6,18,9,9,9,18,
9,9,18,18,18,18,9,9,18,18,18,18,18,18,18,18,18,18,18,18,18,9,9,9,9,9,12,36,36,
36,36,36,36,36,36,36,36,36,36,36,12,36,36,36,36,36,84,18,18,18,18,18,18,36,18,
18,18,18,18,18,36,36,36,72,18,18,18,18,36,36,36,36,36,36,72,36,36,36,36,36,64,
64,28,12,24,48,12,12,24,12,12,16,24,24,24,24,24,48,48,48,48,96,3,9,3,3,3,9,18,
18,18,18,6,18,6,18,9,9,9,9,9,18,18,18,9,9,9,9,18,9,9,9,9,18,18,18,18,18,18,18,
18,18,18,18,18,36,36,16,16,32,1,2,4,8,8,8,8,24,12,12,12,12,12,12,12,12,12,12,
12,24,24,24,24,1,9,9,9,9,9,9,18,18,16,16,1,3,3,6,12,12,12,12,24,3,4,8,1,1,2,3,
3,4,1,3,1,1],[1,57,150,128,128,105,41,14,72,117,324,342,168,336,468,156,108,
144,64,192,768,384,15,45,18,42,72,42,117,168,48,63,84,168,18,24,117,126,168,
192,312,168,144,504,156,252,468,252,72,72,216,144,144,144,144,144,288,288,288,
126,252,18,234,18,72,72,144,126,54,72,144,288,24,168,256,128,48,32,32,160,224,
48,96,128,192,128,192,192,192,1,3,14,168,21,21,39,21,7,63,252,9,36,36,126,39,
21,63,63,84,18,36,18,36,9,36,63,72,36,6,36,72,18,36,36,36,36,36,72,42,42,6,
126,18,18,36,36,36,72,18,18,18,36,54,126,126,36,72,18,18,72,36,36,72,36,72,72,
144,72,72,144,234,36,72,144,18,18,18,36,36,36,72,144,72,144,126,126,18,126,
252,252,126,126,234,54,252,36,36,144,72,72,288,252,72,144,72,72,72,144,288,
168,504,504,72,504,72,256,112,48,96,192,144,96,48,96,96,96,96,96,192,96,96,96,
192,64,96,96,192,39,21,9,9,9,36,36,72,63,63,63,84,18,36,18,36,36,72,3,21,42,6,
18,18,36,6,42,6,18,126,18,18,18,18,18,18,36,36,36,18,18,36,72,18,18,36,72,18,
18,36,36,36,36,72,72,144,72,6,18,36,36,9,18,18,36,9,9,18,18,36,63,18,18,36,36,
18,36,36,72,9,12,84,252,36,252,252,12,36,18,18,36,36,36,18,18,18,18,36,18,18,
18,18,36,36,36,36,36,18,18,18,18,126,18,126,126,252,168,36,36,36,36,72,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,72,72,36,72,72,
72,36,36,36,36,36,36,72,72,72,128,128,8,4,28,8,56,32,48,32,32,96,32,48,48,48,
48,24,48,48,96,96,48,48,48,96,96,96,96,1,2,6,21,9,18,36,3,21,21,63,21,3,9,18,
9,18,18,18,18,18,18,36,6,6,18,9,9,9,18,9,9,18,18,18,18,9,9,18,18,18,18,18,18,
18,18,18,18,18,18,18,9,9,9,9,9,12,36,36,36,36,36,36,36,36,36,36,36,36,36,12,
36,36,36,36,36,84,18,18,18,18,18,18,36,18,18,18,18,18,36,18,36,36,72,18,18,18,
18,36,36,36,36,36,36,72,36,36,36,36,36,64,64,28,12,24,48,12,12,24,12,12,16,24,
24,24,24,24,48,48,48,48,96,3,9,3,3,3,9,18,18,18,18,6,18,6,18,9,9,9,9,9,18,18,
18,9,9,9,9,18,9,9,9,9,18,18,18,18,18,18,18,18,18,18,18,18,36,36,16,16,32,1,2,
4,8,8,8,8,24,12,12,12,12,12,12,12,12,12,12,12,24,24,24,24,1,9,9,9,9,9,9,18,18,
16,16,1,3,3,6,12,12,12,12,24,3,4,8,1,1,2,3,3,4,1,3,1,1],[1,33,222,128,128,25,
25,26,168,189,396,234,168,432,396,108,324,432,768,768,384,384,3,3,42,78,168,
42,99,168,48,48,99,108,144,126,168,117,126,168,168,168,144,504,504,36,180,180,
252,216,288,216,216,288,216,432,432,576,144,576,90,180,90,54,18,144,216,288,
54,90,144,288,144,72,144,256,112,112,224,32,32,96,32,224,96,64,64,128,384,384,
192,192,384,14,168,14,168,18,18,21,21,13,63,252,63,252,126,126,18,18,36,36,72,
36,72,9,36,9,36,36,36,36,72,18,54,54,36,36,108,216,18,18,18,144,288,18,108,36,
18,18,108,36,72,72,72,144,72,144,144,288,144,288,72,144,288,36,72,144,288,72,
18,18,36,36,36,216,288,144,144,90,54,18,54,108,108,18,36,18,18,144,36,108,144,
108,36,144,144,144,288,144,144,144,288,144,72,144,72,144,72,72,72,256,96,96,
192,192,192,192,384,192,384,192,192,48,48,96,96,96,96,96,96,96,96,96,192,192,
192,192,384,9,9,9,36,36,72,18,18,9,36,36,72,36,72,36,36,21,21,42,42,6,18,18,
36,6,18,18,36,144,6,6,18,54,54,18,18,18,36,36,108,36,72,144,36,72,144,18,18,
36,36,72,72,144,288,144,288,144,36,18,36,36,72,18,36,36,72,18,18,36,36,18,36,
18,36,72,144,72,144,9,36,36,72,36,36,36,36,18,18,36,24,36,36,36,36,36,36,36,
36,36,72,72,72,36,36,36,36,36,36,36,72,72,72,72,72,36,72,64,64,128,28,28,8,8,
56,56,32,32,96,32,96,32,32,48,48,48,48,96,96,96,96,96,96,96,48,48,96,96,96,96,
96,96,96,1,1,18,36,72,18,36,72,9,18,36,18,36,18,18,18,18,18,18,18,18,72,72,6,
9,9,18,18,9,9,9,9,18,18,18,18,18,18,9,9,36,72,36,36,36,36,36,18,18,18,18,18,
18,18,18,72,18,72,36,36,36,36,36,36,36,36,72,72,64,64,128,24,48,24,48,96,48,
96,48,12,12,24,24,24,24,24,24,24,48,48,96,96,96,96,96,96,96,18,18,3,3,9,9,18,
18,9,9,9,18,18,18,18,18,18,18,18,18,18,18,18,36,16,32,32,1,1,4,4,8,8,12,12,24,
24,12,12,24,24,24,24,24,24,24,24,24,1,9,9,9,9,9,9,16,32,32,6,6,3,3,12,12,24,
24,24,9,4,4,1,1,2,3,3,3,3,4,4,3,3,6,1,1],[1,15,180,80,320,35,60,180,120,270,
270,360,576,480,960,240,15,45,180,30,90,540,360,360,135,90,180,30,180,180,160,
576,20,240,400,120,720,80,240,240,1,15,45,45,135,135,90,180,90,135,180,90,90,
180,180,160,120,120,120,240,720,240,60,120,120,240,45,45,90,15,135,45,45,90,
45,90,90,80,160,20,60,20,180,120,60,60,120,96,288,96,15,15,45,45,45,45,45,80,
36,60,60,15,60,60,45,10,36,15,15,15,15,10,16,16,15,15,10,6,6,1],[1,15,180,80,
320,35,60,180,270,120,270,360,576,480,960,240,15,45,30,180,90,540,360,360,90,
180,135,180,30,180,160,576,20,400,240,720,120,80,240,240,1,15,45,45,135,90,
135,180,90,135,180,90,90,180,180,160,120,120,120,240,240,720,60,120,120,240,
45,45,90,15,135,45,45,90,45,90,90,80,160,20,60,20,180,60,120,60,120,96,288,96,
15,15,45,45,45,45,45,80,36,60,60,15,60,60,45,10,36,15,15,15,15,10,16,16,15,15,
10,6,6,1],[1,15,180,80,176,35,20,60,360,270,270,360,96,480,800,240,720,15,45,
60,90,270,540,360,360,135,270,180,90,60,180,160,96,20,20,80,220,80,240,80,80,
240,240,240,720,96,1,5,15,15,45,135,90,180,270,135,180,270,90,180,180,160,320,
288,120,240,120,600,240,240,60,180,60,60,240,240,96,15,45,90,45,45,45,135,90,
45,90,90,80,80,160,11,20,5,20,20,20,60,60,60,180,60,60,60,60,60,60,16,48,96,5,
45,45,45,45,45,45,80,80,6,50,30,60,45,15,60,60,60,60,60,48,48,45,10,20,6,16,5,
5,5,5,45,15,15,15,6,10,20,20,18,16,15,15,15,15,6,5,10,1,6,5,3,1,1],[1,15,180,
80,176,35,20,60,270,360,270,360,96,480,800,240,720,15,45,90,60,270,540,360,
360,270,180,135,60,90,180,160,96,20,80,220,80,240,20,80,80,240,240,240,720,96,
1,5,15,15,45,90,135,180,270,135,180,270,90,180,180,160,320,288,120,240,240,
240,120,600,60,180,60,60,240,240,96,15,45,90,45,45,135,45,90,45,90,90,80,80,
160,11,20,5,20,20,20,60,60,180,60,60,60,60,60,60,60,16,48,96,5,45,45,45,45,45,
45,80,80,6,50,30,60,45,15,60,60,60,60,60,48,48,45,10,20,6,16,5,5,5,5,45,15,15,
15,6,10,20,20,18,16,15,15,15,15,6,5,10,1,6,5,3,1,1],[1,45,42,176,224,105,7,14,
63,126,168,252,84,64,1008,672,64,45,42,42,63,168,48,63,126,168,168,504,84,252,
126,448,112,84,56,56,56,224,168,112,336,224,336,192,3,14,168,21,7,63,252,126,
21,126,126,126,126,448,64,128,64,112,252,168,168,168,168,168,336,336,21,21,42,
42,126,63,112,224,64,192,7,28,14,56,84,56,56,168,56,84,84,24,48,64,1,21,21,
112,28,21,42,42,84,24,64,3,28,56,24,48,1,7,14,21,21,28,24,1,21,1,7,3,7,1,1,2,
1,3,1,1],[1,45,42,176,224,7,105,14,168,63,252,126,84,64,1008,672,64,45,42,42,
168,48,63,126,168,63,168,504,84,252,126,448,84,112,224,56,56,168,56,336,112,
224,336,192,3,14,168,21,7,63,252,126,21,126,126,126,126,448,64,128,64,112,252,
168,168,168,168,168,336,336,21,21,42,42,126,63,112,224,64,192,28,7,14,56,84,
56,56,168,56,84,84,24,48,64,1,21,21,112,28,21,42,42,84,24,64,3,28,56,24,48,1,
7,14,21,21,28,24,1,21,1,7,3,7,1,1,2,1,3,1,1],[1,81,366,128,128,117,77,50,504,
333,900,882,600,624,1332,348,468,720,128,1152,768,1152,384,21,45,126,150,504,
150,225,600,144,48,225,156,168,378,504,333,234,312,600,744,312,1512,1368,348,
612,900,468,792,360,792,648,648,936,720,720,864,1584,1440,234,468,234,450,162,
216,360,432,306,162,648,720,1584,216,24,312,144,256,128,48,32,32,160,224,48,
96,128,384,128,384,384,384,1152,1152,384,384,1,3,42,504,14,168,21,39,75,75,25,
117,468,189,756,378,342,75,33,117,63,84,54,108,162,180,81,324,117,324,396,54,
6,162,324,90,180,324,108,108,108,216,78,42,6,54,126,162,90,324,180,180,360,54,
162,162,216,432,126,252,162,234,234,162,324,126,126,324,180,180,360,108,216,
216,432,216,432,216,216,432,450,162,648,720,90,162,162,324,324,324,360,432,
216,1296,126,234,234,234,468,468,306,198,450,162,468,396,396,1584,324,324,
1296,252,216,432,216,360,648,720,1584,168,504,648,936,72,936,648,72,72,72,72,
144,144,144,144,256,512,48,128,144,192,48,96,48,96,384,96,192,192,576,576,192,
144,192,48,96,96,96,96,96,384,96,96,288,192,384,128,96,96,384,384,384,384,384,
384,75,33,81,81,81,324,324,648,117,63,117,84,162,180,54,108,396,324,63,39,126,
42,18,54,54,108,54,162,162,324,216,54,78,42,54,234,90,90,162,162,162,90,324,
180,180,162,162,180,360,54,54,108,216,126,126,162,108,108,180,324,216,432,216,
432,216,54,6,90,162,108,27,54,54,108,63,81,162,90,180,117,90,162,324,180,162,
324,54,108,108,216,108,216,81,108,12,156,324,468,36,252,252,108,324,12,36,162,
162,18,18,108,324,108,54,54,54,54,108,162,162,162,162,324,108,108,108,36,324,
18,162,162,54,54,234,18,162,126,126,252,168,72,180,180,180,36,108,216,216,180,
180,180,108,108,108,108,36,108,108,108,108,108,216,216,36,72,36,72,72,216,324,
36,108,324,108,36,36,36,36,324,324,324,108,108,108,180,180,36,324,324,324,108,
216,216,216,36,108,108,324,180,324,324,324,216,216,36,72,72,72,72,72,72,72,72,
72,144,128,128,256,8,4,28,8,56,32,48,32,32,96,96,32,48,48,192,48,24,48,96,48,
96,144,96,144,48,96,192,192,384,48,96,96,96,96,96,384,96,96,96,48,96,48,48,96,
48,96,96,96,96,96,96,96,96,96,96,96,384,1,3,2,6,18,54,21,21,27,54,108,27,54,
108,3,39,21,27,63,39,21,81,90,27,54,162,90,162,162,162,54,54,54,108,108,6,54,
54,162,6,18,18,81,27,27,27,54,81,81,162,18,162,54,54,27,27,9,9,54,54,54,54,54,
54,18,18,36,54,54,54,54,90,90,90,54,54,54,108,81,27,27,81,9,81,12,108,36,108,
108,108,108,108,108,108,108,180,180,180,180,108,108,108,108,36,36,36,36,36,36,
108,12,36,108,108,108,108,84,54,54,54,54,18,18,54,54,36,108,18,162,162,324,18,
18,36,18,18,54,162,162,18,54,18,162,162,90,324,108,216,54,18,162,162,54,36,36,
108,108,324,324,324,324,216,36,36,36,36,324,324,36,36,36,36,36,36,72,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,72,108,108,108,36,36,36,36,
36,36,36,36,72,72,128,128,128,128,4,28,12,24,36,72,48,144,48,36,12,24,12,12,
32,48,48,48,192,48,24,24,72,24,72,48,96,48,48,48,96,96,48,48,96,96,96,96,96,
96,48,48,48,48,96,48,48,96,96,3,3,27,27,3,27,9,9,27,3,9,54,54,54,54,6,18,54,
162,6,18,18,54,27,27,27,9,9,18,18,18,27,27,54,54,54,27,27,9,27,9,27,27,27,27,
27,18,54,54,18,27,81,81,27,9,9,27,18,54,18,54,18,54,54,54,54,54,18,18,54,54,
54,54,108,36,18,18,18,18,18,162,90,54,54,18,54,54,18,18,18,18,36,18,18,18,18,
18,18,18,18,36,36,36,36,36,36,36,36,36,108,108,36,36,36,36,36,36,36,36,36,16,
16,32,128,1,2,4,12,8,8,8,8,24,36,12,36,12,12,12,24,12,12,12,24,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,24,24,72,24,72,24,24,24,24,24,24,24,48,96,
48,9,1,3,9,3,9,9,27,27,9,27,27,27,9,27,9,9,27,27,9,27,27,9,9,9,9,9,9,9,9,9,9,
9,9,9,18,18,54,54,18,18,18,18,18,18,18,18,16,16,32,16,16,32,1,9,9,4,12,6,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
24,24,24,24,24,24,24,3,9,3,9,9,9,9,9,9,9,9,9,9,9,9,4,8,16,16,3,1,1,2,9,9,3,3,
3,6,6,12,12,12,12,9,4,4,4,8,3,1,1,3,3,3,3,3,3,3,6,1,4,3,3,1,1,1,1],[1,81,366,
128,128,77,117,50,600,333,1332,882,504,624,900,348,468,720,128,1152,768,1152,
384,45,21,150,150,600,126,225,504,48,144,225,156,312,234,312,333,378,504,744,
600,168,1368,1512,348,900,612,468,648,648,936,792,360,792,720,720,1440,1584,
864,234,468,162,306,162,648,360,720,450,234,216,432,1584,24,216,312,144,256,
48,128,224,160,32,96,32,48,384,128,128,384,384,1152,384,1152,384,384,3,1,14,
168,42,504,39,21,75,75,25,189,756,117,468,342,378,33,75,63,117,84,162,180,54,
108,81,324,117,396,324,6,54,90,180,162,324,108,324,108,108,216,42,78,54,6,126,
90,162,180,324,180,360,162,234,54,216,432,162,324,126,126,162,126,252,162,234,
180,324,108,216,180,360,216,432,216,432,216,216,432,198,90,216,432,162,162,
162,324,324,324,360,720,648,1296,126,234,162,234,468,468,450,450,306,234,252,
324,324,1296,396,396,1584,468,360,720,648,216,216,432,1584,168,936,72,936,648,
504,72,648,72,72,72,144,144,144,144,256,512,128,48,192,144,48,96,48,384,96,96,
192,192,576,192,576,192,144,48,96,384,96,96,288,96,96,96,96,192,128,384,96,96,
384,384,384,384,384,384,33,75,81,81,81,324,324,648,63,117,117,84,54,108,162,
180,324,396,39,63,42,126,54,162,162,324,18,54,54,108,216,78,54,54,42,126,162,
162,90,90,90,162,180,324,180,54,54,108,216,162,162,180,360,162,234,126,108,
108,324,180,216,432,216,432,216,6,54,162,90,108,81,162,90,180,117,27,54,54,
108,63,162,90,180,324,54,108,162,324,108,216,108,216,81,12,108,156,36,252,324,
468,252,12,36,108,324,18,18,162,162,324,108,108,162,162,162,162,324,54,54,54,
54,108,108,108,108,324,36,162,54,18,162,54,126,162,18,234,126,252,168,72,108,
108,108,108,36,216,72,180,180,180,180,180,180,36,108,108,108,108,36,36,72,72,
108,216,108,216,216,216,36,324,324,108,108,36,36,36,36,108,108,108,324,324,
324,324,324,324,36,180,180,108,216,216,216,324,324,324,36,324,108,108,180,216,
216,36,72,72,72,72,72,72,72,72,72,144,128,128,256,8,28,4,8,56,48,32,32,32,96,
32,96,48,192,48,48,24,192,384,48,96,192,144,96,48,96,144,48,96,48,96,384,96,
96,96,96,96,96,96,96,48,48,96,48,48,96,96,96,96,96,96,96,96,96,96,96,384,3,1,
18,54,2,6,21,21,27,54,108,27,54,108,27,21,39,3,63,21,39,27,54,81,90,90,162,54,
54,54,162,162,162,108,108,54,6,6,18,54,162,18,27,81,81,81,162,27,27,54,162,18,
54,54,9,9,27,27,54,54,54,54,54,54,54,54,108,54,90,90,90,54,54,54,54,18,18,36,
9,81,27,27,81,81,36,36,12,108,108,108,108,108,180,180,180,180,108,108,108,36,
36,36,36,108,108,108,108,108,12,36,36,108,108,108,108,108,84,54,54,54,54,54,
54,18,18,108,36,18,18,18,36,162,162,324,18,18,162,18,54,162,54,162,90,18,162,
108,324,216,162,162,54,18,54,324,324,324,324,108,108,36,36,216,36,36,36,36,36,
36,324,324,36,36,36,36,72,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,72,108,108,108,36,36,36,36,36,36,36,36,72,72,128,128,128,128,28,4,36,
72,12,24,48,144,48,12,36,24,12,12,48,32,192,48,48,48,24,72,24,24,72,48,48,96,
96,96,48,48,48,48,96,96,96,96,96,48,96,48,96,48,48,48,48,96,96,3,3,27,27,3,9,
27,3,9,9,27,54,54,54,54,54,162,6,18,18,54,6,18,27,27,27,27,27,54,54,54,9,9,18,
18,18,9,27,27,27,27,9,27,27,27,27,54,18,18,54,27,27,9,81,81,9,27,54,18,54,54,
54,54,18,18,54,54,54,54,18,18,54,54,36,108,18,18,18,18,162,18,54,54,54,54,18,
90,18,18,18,18,36,18,18,18,18,18,18,18,18,36,36,36,36,36,36,36,36,36,108,108,
36,36,36,36,36,36,36,36,36,16,16,32,128,1,2,12,4,8,8,8,8,24,12,12,12,12,36,36,
24,12,12,12,24,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,24,24,72,
24,72,24,24,24,24,24,24,96,48,48,1,9,3,3,9,27,27,9,9,9,27,9,27,27,9,27,27,9,
27,9,9,9,27,27,9,9,9,9,9,9,9,9,9,9,9,54,54,18,18,18,18,18,18,18,18,18,18,16,
16,32,16,16,32,1,9,9,12,4,6,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,24,24,24,24,24,24,24,9,3,9,3,9,9,9,9,9,9,9,9,
9,9,9,4,8,16,16,3,1,1,2,3,9,9,3,3,6,6,12,12,12,12,9,4,4,4,8,3,1,1,3,3,3,3,3,3,
3,6,1,4,3,3,1,1,1,1],[1,81,366,128,128,109,109,26,312,261,1044,810,312,1008,
1044,348,468,720,128,1152,768,1152,384,45,45,78,78,312,78,225,312,48,48,225,
252,504,162,216,261,162,216,648,648,504,792,792,348,900,900,756,504,504,792,
504,504,792,720,720,1440,1296,1440,378,756,162,450,90,360,360,720,450,162,360,
720,1296,72,72,504,144,256,112,112,224,32,32,96,32,224,96,256,256,128,384,384,
768,768,1152,384,384,3,3,14,168,14,168,63,63,75,75,13,81,324,81,324,198,198,
75,75,189,189,252,90,180,90,180,45,180,189,252,252,18,18,126,252,126,252,180,
180,180,180,360,126,126,18,18,378,90,90,180,180,180,360,54,162,54,216,432,126,
252,162,162,162,126,252,162,162,252,252,180,360,180,360,216,432,216,432,360,
216,432,450,126,360,720,126,90,90,180,180,180,360,720,360,720,378,378,162,378,
756,756,450,450,450,162,756,252,252,1008,252,252,1008,756,360,720,360,360,360,
720,1296,504,1512,216,1512,216,1512,216,216,72,72,72,144,144,144,144,256,512,
112,112,144,144,288,288,192,192,576,192,576,192,192,144,144,288,96,96,288,288,
96,96,96,288,192,192,256,256,384,384,384,384,384,384,75,75,45,45,45,180,180,
360,189,189,189,252,90,180,90,180,252,252,27,27,42,42,18,54,54,108,18,54,54,
108,216,54,54,54,54,162,90,90,90,90,90,90,180,180,180,90,90,180,360,90,90,180,
360,126,162,126,180,180,252,252,216,432,216,432,216,18,18,126,126,180,45,90,
90,180,81,45,90,90,180,81,90,90,180,180,54,108,54,108,108,216,108,216,45,36,
36,252,108,756,108,756,756,36,108,36,108,54,54,54,54,180,180,180,90,90,90,90,
180,90,90,90,90,180,180,180,180,108,108,54,90,54,90,90,378,54,54,378,378,756,
504,24,180,180,180,108,36,216,72,180,180,180,180,180,180,108,108,180,180,180,
108,36,72,72,36,72,36,72,72,216,108,108,180,180,180,36,36,36,36,180,180,180,
180,180,180,252,252,108,108,252,252,180,360,360,360,108,180,180,108,252,180,
180,252,360,360,36,72,72,72,72,72,72,72,72,72,144,64,64,128,256,28,28,8,8,56,
56,48,48,32,32,96,32,96,32,32,48,48,48,96,144,144,144,144,48,96,288,288,96,96,
96,288,288,96,96,48,48,48,48,96,96,96,96,96,96,96,384,1,1,6,18,6,18,21,21,27,
54,108,27,54,108,9,63,63,9,189,27,27,45,90,45,90,90,90,54,54,54,54,54,54,108,
108,18,18,18,54,18,54,6,27,27,45,45,90,45,45,90,54,54,90,90,27,27,27,27,90,90,
90,90,90,90,18,18,36,54,90,90,90,90,90,90,54,18,18,36,27,45,45,45,27,45,36,36,
36,180,180,180,180,180,180,180,180,180,180,180,180,108,36,36,36,108,36,36,36,
36,36,108,36,108,180,180,180,180,252,54,54,54,54,54,54,54,54,36,36,18,54,54,
108,54,54,108,18,18,90,54,90,54,90,54,126,54,126,180,180,360,90,54,90,54,90,
108,108,180,180,180,180,108,108,360,36,36,36,36,108,108,108,108,36,36,36,36,
72,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,72,180,180,180,
36,36,36,36,36,36,36,36,72,72,64,64,64,64,64,64,128,28,28,36,72,36,72,144,48,
144,48,36,36,24,24,48,48,48,48,72,72,72,72,24,48,48,48,48,48,48,96,96,96,96,
96,96,96,48,48,48,48,3,3,27,27,9,9,9,9,27,9,27,90,90,90,90,18,54,18,54,18,54,
18,54,45,45,45,27,27,54,54,54,27,27,54,54,54,9,27,9,27,27,27,27,27,27,27,54,
54,18,18,45,45,27,45,27,9,9,54,54,18,54,54,54,18,54,54,54,54,54,54,54,54,54,
36,36,18,18,18,18,54,54,90,90,90,18,18,90,18,18,18,18,36,18,18,18,18,18,18,18,
18,36,36,36,36,36,36,36,36,36,180,180,36,36,36,36,36,36,36,36,36,16,32,32,64,
64,1,1,4,4,8,8,24,24,36,36,12,36,36,12,24,24,12,12,24,24,36,36,12,12,72,72,72,
24,72,24,24,24,24,24,24,48,48,3,3,1,3,3,9,9,9,9,9,27,9,27,27,27,9,27,27,45,9,
27,27,27,27,9,9,9,9,9,9,9,9,9,9,9,54,54,54,54,18,18,18,18,18,18,18,18,16,32,
32,16,16,1,1,9,9,9,9,4,4,12,12,12,12,12,12,36,36,12,12,12,12,24,24,24,24,24,3,
3,9,9,9,9,9,9,9,9,9,9,9,9,9,4,4,16,1,1,3,3,2,9,9,3,9,3,9,3,3,3,3,12,12,9,4,4,
4,4,4,4,1,1,3,3,3,3,3,3,3,3,3,3,3,3,6,1,4,4,3,3,1,1,1,1],[1,105,294,448,49,
245,98,1176,441,1764,882,168,336,252,588,252,1008,448,1344,1344,512,105,3,294,
294,1176,42,63,168,336,48,441,84,168,882,1176,441,126,168,1176,168,3528,504,
588,1764,252,252,504,504,504,504,504,1008,1008,2016,1008,126,252,126,126,126,
504,504,1008,882,126,1008,168,168,112,784,1568,336,448,1344,1344,7,98,1176,14,
168,21,21,147,49,63,252,441,1764,882,126,147,63,126,252,63,252,63,252,252,42,
126,252,252,42,42,126,126,252,252,252,504,126,882,126,504,1008,126,252,126,
126,252,126,882,252,252,504,504,1008,126,126,126,252,252,252,504,1008,504,
1008,126,126,126,252,252,882,882,126,126,252,252,1008,252,252,1008,252,504,
1008,504,1008,504,504,504,504,512,784,112,336,336,336,672,336,672,1344,336,
336,336,672,672,672,448,672,672,147,63,63,63,252,252,504,63,63,126,252,252,
252,147,21,294,42,42,126,126,252,42,126,126,252,504,294,42,42,126,126,126,126,
126,126,252,252,252,126,126,252,504,126,882,126,252,504,1008,42,126,63,126,
126,252,441,126,126,252,252,126,252,126,252,252,504,63,84,84,252,252,84,252,
126,126,252,126,126,126,126,252,252,126,126,126,126,168,252,252,252,252,252,
252,252,504,252,504,504,504,252,252,252,252,252,252,252,252,252,252,252,252,
196,392,112,224,336,336,336,672,336,672,336,336,336,336,672,672,672,672,192,
384,1,7,14,42,147,63,126,252,21,21,147,63,126,126,126,126,126,126,126,126,126,
252,42,42,126,42,63,63,63,63,126,126,126,126,252,126,126,126,126,63,63,63,252,
252,252,252,252,252,252,252,126,126,252,126,126,252,126,126,126,126,252,126,
126,252,252,252,252,252,252,196,84,168,336,84,84,84,112,336,336,168,168,21,63,
21,21,42,126,63,63,63,63,126,63,63,63,126,126,126,126,252,126,126,126,64,192,
192,7,28,56,168,84,84,84,84,84,84,84,84,168,168,168,7,7,21,63,63,63,63,7,21,
21,28,84,84,8,21,7,7,21,21,8,24,24,7,7,1],[1,105,294,448,245,49,98,168,441,
252,882,1176,336,1764,588,252,1008,448,1344,1344,512,3,105,42,294,168,294,441,
1176,48,336,63,84,126,168,441,882,1176,168,1176,168,504,3528,588,252,1764,252,
504,504,504,504,504,1008,1008,1008,2016,126,252,126,882,126,504,126,126,504,
1008,1008,168,168,784,112,1568,336,448,1344,1344,7,14,168,98,1176,21,147,21,
49,441,1764,63,252,126,882,147,63,126,252,63,252,63,252,252,42,126,252,252,42,
42,126,126,252,252,252,504,126,126,126,126,252,126,882,882,126,252,252,252,
504,504,1008,504,1008,882,126,504,1008,126,126,252,252,252,504,1008,126,126,
126,252,252,126,882,126,252,252,252,1008,252,252,1008,504,504,1008,1008,504,
504,504,504,512,112,784,336,336,336,336,672,672,1344,336,336,336,672,672,672,
448,672,672,147,63,63,63,252,252,504,63,63,126,252,252,252,21,147,42,294,42,
126,126,252,42,126,126,252,42,294,42,882,126,126,126,126,126,126,252,252,252,
126,126,252,504,126,126,252,504,1008,504,42,126,63,126,126,252,441,126,126,
252,252,126,252,126,252,252,504,63,84,84,252,252,84,252,126,126,252,126,126,
126,126,252,252,126,126,126,126,168,252,252,252,252,504,504,252,252,252,252,
504,504,252,252,252,252,252,252,252,252,252,252,252,252,196,392,112,224,336,
336,336,336,336,672,336,336,672,336,672,672,672,672,192,384,7,1,14,42,147,63,
126,252,21,21,147,63,126,126,126,126,126,126,126,126,126,252,42,42,126,42,63,
63,63,63,126,126,126,126,126,126,126,126,252,63,63,63,252,252,252,252,252,252,
252,252,126,126,252,126,126,252,126,126,126,126,252,126,126,252,252,252,252,
252,252,196,84,168,336,84,84,84,112,336,336,168,168,21,63,21,21,42,126,63,63,
63,63,126,63,63,63,126,126,126,126,252,126,126,126,64,192,192,7,28,56,168,84,
84,84,84,84,84,84,84,168,168,168,7,7,21,63,63,63,63,7,21,21,28,84,84,8,21,7,7,
21,21,8,24,24,7,7,1],[1,45,330,80,320,35,15,60,720,225,900,360,480,180,60,360,
720,576,80,720,1280,720,960,15,60,60,240,45,120,90,120,240,270,360,45,180,120,
900,60,180,360,360,720,180,180,180,720,720,1440,360,90,90,90,360,360,720,180,
360,360,180,120,360,160,576,20,400,240,720,120,240,80,240,720,240,720,960,240,
1,15,180,30,15,45,180,45,15,90,180,90,45,90,45,45,90,180,30,45,90,180,135,180,
360,180,45,90,90,180,360,90,45,90,90,180,360,720,360,90,180,180,90,90,360,360,
720,360,360,180,360,180,360,180,180,180,360,360,360,360,160,320,320,576,20,60,
120,240,120,120,480,480,960,60,120,240,120,240,240,240,480,80,240,120,240,240,
240,240,240,15,45,90,180,90,15,45,45,45,90,180,60,90,45,90,180,360,15,45,45,
45,90,90,180,60,180,30,90,45,135,90,90,90,45,90,45,180,90,180,90,180,90,90,90,
180,90,90,90,90,90,90,180,180,180,180,180,180,360,80,160,160,160,20,60,20,120,
60,180,60,120,120,240,60,60,120,240,120,240,240,240,60,60,120,120,120,240,96,
288,96,15,15,45,90,45,45,45,45,90,60,90,90,90,90,60,45,45,45,45,90,90,90,90,
90,90,90,90,90,90,90,90,90,90,80,80,80,160,36,80,120,60,15,20,60,120,60,60,60,
60,60,60,60,120,120,120,96,96,96,15,15,45,45,45,45,45,90,90,90,90,10,80,36,15,
60,15,15,15,15,15,15,15,60,60,60,45,10,20,20,36,16,16,15,15,15,15,15,15,15,30,
15,10,10,10,16,16,15,15,6,6,10,6,6,1,1],[1,45,330,80,320,15,35,60,225,180,360,
720,480,900,60,360,720,576,80,720,1280,720,960,15,60,60,90,240,120,45,120,45,
270,360,120,180,240,900,60,180,180,180,180,360,360,720,720,720,360,1440,180,
90,360,360,90,90,360,720,360,120,180,360,160,576,20,240,400,120,720,80,240,
240,240,720,720,960,240,1,15,180,30,15,45,180,45,15,90,90,180,45,90,45,45,90,
180,45,30,90,180,135,45,90,180,90,180,360,180,360,90,360,720,45,90,180,360,
180,90,90,90,90,360,180,360,360,720,360,360,180,360,180,180,180,180,360,360,
360,360,160,320,320,576,20,60,120,120,120,240,480,960,480,60,120,240,240,240,
120,240,480,240,80,120,240,240,240,240,240,15,45,90,180,90,15,45,45,45,90,60,
90,45,90,180,360,180,15,45,45,45,90,90,180,60,180,30,90,45,135,90,90,90,45,45,
90,90,180,180,90,180,90,90,90,180,90,90,90,90,90,90,180,180,180,180,180,180,
360,80,160,160,160,20,60,20,60,120,180,60,120,240,60,60,120,120,240,240,120,
240,240,60,60,120,120,120,240,96,288,96,15,15,45,90,45,45,45,45,90,90,60,90,
90,90,60,45,45,45,45,90,90,90,90,90,90,90,90,90,90,90,90,90,90,80,80,80,160,
36,80,120,60,15,20,60,120,60,60,60,60,60,60,60,120,120,120,96,96,96,15,15,45,
45,45,45,45,90,90,90,90,10,80,36,15,60,15,15,15,15,15,15,15,60,60,60,45,10,20,
20,36,16,16,15,15,15,15,15,15,15,30,15,10,10,10,16,16,15,15,6,6,10,6,6,1,1],[
1,105,210,560,56,105,105,70,315,630,420,630,1260,336,560,1680,560,1680,840,
960,15,15,210,105,315,630,630,630,1260,1260,315,315,630,315,210,280,336,420,
420,280,70,280,420,280,840,1680,840,336,35,315,630,315,315,630,315,315,315,
630,280,560,560,1008,960,420,420,420,420,420,420,420,840,840,420,420,420,210,
840,840,336,105,105,315,105,315,315,315,280,280,280,280,35,35,70,420,420,420,
210,210,120,120,56,168,336,315,280,280,35,35,105,105,105,105,105,210,168,168,
35,120,120,120,120,120,56,105,105,105,35,35,35,28,56,35,28,15,15,8,1],[1,113,
462,448,133,133,154,1176,693,1764,1386,1176,560,1764,700,756,1680,448,2240,
2240,512,29,29,294,462,1176,294,441,1176,336,336,441,140,168,882,1176,693,882,
1176,1176,1176,168,3528,3528,700,1092,1092,756,1512,504,1512,1512,504,1512,
1680,1680,2016,3024,2016,378,420,378,546,378,504,840,1008,546,378,504,1008,
3024,168,168,280,336,336,336,224,224,560,448,448,448,1344,1344,2240,448,512,1,
1,98,1176,98,1176,21,21,147,147,77,441,1764,441,1764,882,882,49,49,63,63,28,
126,252,126,252,189,756,189,756,756,42,42,126,252,126,252,252,252,84,84,168,
42,42,42,42,42,378,378,756,756,420,840,378,546,378,504,1008,378,756,126,294,
546,378,756,126,294,252,252,252,504,252,504,504,1008,504,1008,168,504,1008,
294,126,504,1008,126,378,378,756,756,756,840,1008,504,3024,42,378,378,378,756,
420,546,294,546,378,252,756,756,3024,756,756,3024,252,504,1008,504,504,504,
1008,3024,56,504,504,840,504,504,504,504,168,168,168,336,336,336,336,512,336,
336,560,560,560,672,560,672,672,672,448,448,560,560,560,672,672,672,672,672,
672,448,448,672,672,1120,448,448,448,448,448,49,49,189,189,189,756,756,1512,
63,63,189,28,126,252,126,252,756,756,147,147,294,294,126,378,378,756,126,378,
378,756,504,182,182,42,42,294,378,378,378,378,378,378,756,756,420,126,126,252,
504,126,126,252,504,378,294,378,84,84,252,252,504,1008,504,1008,504,42,42,126,
126,84,63,126,126,252,147,63,126,126,252,147,378,378,756,756,378,756,378,756,
252,504,252,504,189,84,84,140,252,252,252,252,84,84,252,84,252,126,126,126,
126,252,252,84,126,126,126,126,252,126,126,126,126,252,84,84,84,252,252,126,
126,126,126,42,126,126,126,126,42,84,56,504,252,252,252,84,252,504,504,420,
420,420,252,252,252,84,84,84,84,84,84,252,504,504,252,504,252,504,504,504,252,
252,252,252,84,84,84,84,84,252,252,252,252,252,252,252,252,252,252,252,252,84,
168,168,168,252,252,252,252,252,252,252,252,168,168,84,168,168,168,168,168,
168,168,168,168,336,512,28,28,112,112,224,224,336,336,336,336,336,672,336,672,
560,336,336,336,672,560,336,672,560,672,672,224,672,672,224,112,112,112,112,
112,112,224,224,224,224,672,672,672,672,224,224,224,448,64,64,7,7,14,42,14,42,
49,49,63,126,252,63,126,252,21,21,21,21,21,49,49,63,126,63,126,378,378,378,
378,378,378,378,378,252,252,42,42,42,126,42,126,126,189,189,63,63,126,63,63,
126,126,126,42,42,21,21,21,21,42,42,42,42,42,42,126,126,252,126,126,126,126,
126,126,126,126,126,126,252,63,63,21,63,63,189,28,252,28,84,84,84,84,84,252,
252,252,420,252,252,252,84,252,252,252,84,252,252,252,252,28,84,28,84,84,84,
84,84,28,126,126,126,126,42,42,42,42,252,252,42,126,126,252,126,126,252,42,42,
126,126,126,126,42,126,126,126,126,252,252,168,126,126,126,126,42,252,252,252,
252,252,252,252,252,168,84,84,84,84,252,252,252,252,84,84,84,84,168,84,84,84,
84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,168,84,84,84,84,84,84,84,
84,84,84,84,168,168,28,28,84,56,84,56,84,84,140,84,84,112,112,336,336,336,336,
56,56,112,112,112,112,112,112,112,112,112,224,224,112,112,112,112,112,112,224,
224,224,64,64,7,7,63,63,1,63,63,7,21,7,21,42,42,42,42,42,126,42,126,14,42,14,
42,21,21,21,21,21,42,42,42,21,21,42,42,42,63,63,63,63,21,21,63,63,63,63,42,42,
126,126,21,63,63,63,63,21,189,42,42,126,126,42,126,126,42,126,126,42,42,42,42,
126,126,252,252,42,42,42,42,126,126,126,42,42,126,126,126,42,42,42,42,84,42,
42,42,42,42,42,42,42,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,
84,64,64,64,64,64,28,28,56,168,56,168,84,28,84,28,84,84,28,28,28,28,28,28,84,
84,84,84,28,28,28,28,28,84,140,84,84,84,84,84,28,28,28,28,28,56,56,56,56,168,
168,112,112,112,7,7,21,21,21,63,63,63,63,21,63,63,63,21,21,63,21,21,21,21,21,
21,21,21,21,21,21,21,21,21,21,21,21,21,21,42,42,42,42,42,42,42,42,42,42,42,42,
64,64,64,64,64,64,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,
28,84,84,84,84,28,28,28,28,28,28,28,28,28,28,56,56,56,56,56,56,21,21,7,7,21,
21,21,21,21,21,21,21,21,21,21,7,7,28,28,28,28,28,8,21,8,8,7,7,7,7,7,7,8,8,8,8,
8,7,7,1],[1,113,462,448,245,77,98,504,525,1092,1218,1176,1008,2100,700,756,
1680,448,2240,2240,512,17,105,126,294,504,294,525,1176,48,336,189,252,392,210,
280,525,882,1176,616,1400,504,1176,3528,700,756,2100,756,840,504,1512,1176,
1176,1176,1680,1680,2016,2352,3360,378,756,210,1050,210,504,840,1008,378,378,
840,1680,2352,168,168,504,336,784,112,1568,336,448,448,448,1344,1344,2240,448,
512,1,7,14,168,98,1176,49,63,175,63,49,441,1764,105,420,294,882,175,49,189,
147,196,126,252,210,420,105,420,189,588,420,42,42,294,588,126,252,420,252,252,
252,504,126,98,42,42,294,210,210,420,420,420,840,210,210,126,168,336,210,420,
378,882,882,294,588,126,126,588,252,420,840,252,504,168,336,840,1680,504,840,
1680,1050,294,840,1680,126,210,210,420,420,420,840,1008,504,1680,294,378,210,
378,756,756,378,294,1050,378,756,420,420,1680,588,588,2352,588,504,1008,504,
840,840,1680,2352,392,1176,504,1512,504,1512,504,504,168,168,168,336,336,336,
336,512,112,784,336,560,336,224,336,224,1120,672,2240,336,560,336,224,224,672,
1120,1120,448,448,672,672,448,448,448,448,448,175,49,105,105,105,420,420,840,
189,147,189,196,210,420,126,252,420,588,35,147,42,294,70,210,210,420,42,126,
126,252,168,70,294,42,126,882,210,210,210,210,210,210,420,420,420,210,210,420,
840,126,126,252,504,210,126,294,252,252,252,588,168,336,840,1680,840,42,42,
126,294,252,63,126,126,252,63,105,210,210,420,441,210,210,420,420,126,252,210,
420,84,168,420,840,105,84,84,252,252,756,252,588,588,84,252,84,252,126,126,
126,126,252,420,252,126,126,126,126,252,210,210,210,210,420,252,252,252,252,
252,126,210,126,126,126,378,126,126,294,294,588,392,168,420,420,420,252,252,
840,504,420,420,420,252,252,252,84,252,252,252,252,84,252,504,504,84,168,84,
168,168,168,252,252,252,420,252,84,84,84,84,420,420,420,252,252,252,252,252,
252,252,588,588,252,504,504,504,252,252,252,252,252,420,420,588,504,504,84,
168,168,168,168,168,168,168,168,168,336,512,196,392,112,112,224,112,112,336,
336,112,224,112,224,336,336,336,336,672,560,336,672,336,224,224,672,1120,672,
112,112,112,112,112,112,224,224,672,224,672,224,224,448,192,384,7,1,14,42,14,
42,147,7,21,42,84,105,210,420,21,63,49,21,147,147,21,105,210,63,126,210,210,
126,126,126,210,210,210,420,84,42,42,42,126,42,126,42,63,105,63,63,126,105,
105,210,126,126,126,126,21,21,63,63,126,126,126,126,126,126,42,42,84,42,126,
126,126,210,210,210,210,126,126,252,63,63,63,105,63,105,84,252,28,252,252,252,
252,252,252,252,252,420,420,420,420,84,252,252,252,252,84,84,84,84,28,84,84,
252,252,252,252,252,196,42,42,210,210,126,126,42,42,84,252,42,126,126,252,126,
126,252,42,42,126,126,210,126,126,126,294,126,126,420,252,504,126,126,210,126,
126,252,252,252,252,420,420,252,252,504,84,84,84,84,252,252,252,252,84,84,84,
84,168,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,168,252,
252,252,84,84,84,84,84,84,84,84,168,168,196,140,280,560,140,84,84,112,112,112,
112,336,336,280,280,112,112,112,112,112,112,112,112,112,224,112,112,112,112,
112,112,224,224,64,21,1,105,21,7,21,35,7,21,21,63,126,126,126,126,42,126,42,
126,42,126,14,42,63,63,63,63,63,126,126,126,21,21,42,42,42,63,105,21,21,63,21,
105,105,21,21,126,42,126,42,63,105,63,63,63,21,63,126,42,42,210,126,42,126,42,
210,210,126,126,42,42,42,42,252,84,42,42,42,42,126,126,210,126,126,42,126,126,
42,42,42,42,84,42,42,42,42,42,42,42,42,84,84,84,84,84,84,84,84,84,252,252,84,
84,84,84,84,84,84,84,84,64,192,192,7,28,56,56,168,140,84,84,28,28,28,84,28,84,
84,28,28,84,84,84,84,28,28,28,28,168,280,168,56,168,112,112,112,7,7,7,21,7,21,
21,63,63,21,21,63,105,63,21,21,63,21,63,21,21,21,63,63,21,21,21,21,21,21,21,
21,21,21,21,126,126,42,42,42,42,42,42,42,42,42,42,64,64,64,7,35,35,28,28,28,
28,28,28,28,28,28,84,28,84,84,28,28,28,28,28,28,28,28,56,56,56,56,8,7,21,21,7,
21,21,21,21,21,21,21,21,21,21,21,7,7,7,21,35,21,7,7,28,28,28,8,21,8,24,24,7,7,
7,7,7,7,7,7,7,7,8,8,8,7,7,1,1],[1,113,462,448,77,245,98,1176,525,2100,1218,
504,1008,1092,700,756,1680,448,2240,2240,512,105,17,294,294,1176,126,189,504,
336,48,525,252,504,882,1176,525,210,280,1400,616,392,3528,1176,700,2100,756,
756,1176,1176,1176,840,504,1512,1680,1680,3360,2352,2016,378,756,378,378,210,
840,840,1680,1050,210,504,1008,2352,168,168,504,336,112,784,1568,336,448,448,
448,1344,1344,2240,448,512,7,1,98,1176,14,168,63,49,63,175,49,105,420,441,
1764,882,294,49,175,147,189,196,210,420,126,252,105,420,189,420,588,42,42,126,
252,294,588,252,420,252,252,504,98,126,42,42,294,210,210,420,420,420,840,126,
882,210,840,1680,294,588,126,126,210,210,420,378,882,252,588,252,504,420,840,
840,1680,168,336,504,168,336,294,126,504,1008,294,210,210,420,420,420,840,
1680,840,1680,294,378,378,378,756,756,1050,1050,378,210,588,588,588,2352,420,
420,1680,756,840,1680,840,504,504,1008,2352,392,1512,504,1512,504,1176,504,
504,168,168,168,336,336,336,336,512,784,112,560,336,336,672,336,1120,224,224,
2240,560,336,336,672,1120,224,224,1120,448,448,672,672,448,448,448,448,448,49,
175,105,105,105,420,420,840,147,189,189,196,126,252,210,420,588,420,147,35,
294,42,42,126,126,252,70,210,210,420,840,294,70,126,42,126,210,210,210,210,
210,210,420,420,420,126,126,252,504,210,210,420,840,294,882,210,252,252,588,
252,840,1680,168,336,168,42,42,294,126,252,105,210,210,420,441,63,126,126,252,
63,210,210,420,420,210,420,126,252,420,840,84,168,105,84,84,252,252,588,252,
756,588,84,252,84,252,126,126,126,126,420,252,252,210,210,210,210,420,126,126,
126,126,252,252,252,252,252,252,126,126,126,210,126,294,126,126,378,294,588,
392,168,252,252,252,84,84,168,168,420,420,420,420,420,420,252,84,252,252,252,
252,84,168,168,252,504,252,504,504,840,252,252,420,252,252,84,84,84,84,252,
252,252,420,420,420,588,588,252,252,252,252,252,504,504,504,252,420,420,252,
588,252,252,252,504,504,84,168,168,168,168,168,168,168,168,168,336,512,196,
392,112,112,224,336,336,112,112,336,672,336,672,560,336,336,112,224,336,112,
224,336,672,1120,672,224,224,112,112,112,112,112,112,224,224,672,672,224,224,
224,448,192,384,1,7,14,42,14,42,7,147,105,210,420,21,42,84,21,49,63,21,147,21,
147,63,126,105,210,210,210,210,210,210,126,126,126,84,420,42,42,42,126,42,126,
42,105,63,105,105,210,63,63,126,126,126,126,126,63,63,21,21,126,126,126,126,
126,126,126,126,252,210,210,210,210,126,126,126,42,42,42,84,63,105,63,63,63,
105,28,84,84,252,252,252,252,252,420,420,420,420,252,252,252,252,84,84,84,84,
252,252,252,252,84,252,28,84,252,252,252,252,196,210,210,42,42,42,42,126,126,
252,84,42,126,126,252,126,126,252,42,42,210,126,126,126,126,126,126,126,294,
252,420,504,210,126,126,126,126,252,252,420,420,252,252,252,252,504,84,84,84,
84,252,252,252,252,84,84,84,84,168,84,84,84,84,84,84,84,84,84,84,84,84,84,84,
84,84,84,84,84,84,168,252,252,252,84,84,84,84,84,84,84,84,168,168,196,140,280,
560,140,84,84,112,112,336,336,112,112,280,280,112,112,112,112,112,112,112,112,
112,224,112,112,112,112,112,112,224,224,64,1,21,21,105,7,35,21,21,63,7,21,126,
126,126,126,42,126,42,126,14,42,42,126,63,63,63,21,21,42,42,42,63,63,126,126,
126,21,21,63,105,21,63,21,21,105,105,42,126,42,126,63,63,63,105,63,21,63,42,
126,126,42,42,210,42,126,42,42,42,42,126,126,210,210,84,252,42,42,42,42,126,
126,126,126,126,126,42,210,42,42,42,42,84,42,42,42,42,42,42,42,42,84,84,84,84,
84,84,84,84,84,252,252,84,84,84,84,84,84,84,84,84,64,192,192,7,28,56,56,168,
84,140,84,28,28,28,84,84,28,84,28,28,28,84,84,84,84,28,28,28,168,280,168,56,
168,112,112,112,7,7,7,7,21,63,63,21,21,21,105,21,21,21,63,63,21,63,63,21,63,
63,21,21,21,21,21,21,21,21,21,21,21,21,21,42,42,126,126,42,42,42,42,42,42,42,
42,64,64,64,7,35,35,28,28,28,28,28,28,28,28,28,84,28,84,28,84,28,28,28,28,28,
28,28,56,56,56,56,8,21,7,7,21,21,21,21,21,21,21,21,21,21,21,21,7,7,7,21,35,21,
7,7,28,28,28,8,21,8,24,24,7,7,7,7,7,7,7,7,7,7,8,8,8,7,7,1,1],[1,105,294,512,
896,49,245,98,1176,441,1764,882,168,336,252,588,252,1008,448,1344,2688,2688,
512,105,3,294,294,1176,42,63,168,336,48,441,84,168,882,1176,441,126,168,1176,
168,3528,504,588,1764,252,252,504,504,504,504,504,1008,1008,2016,1008,126,252,
126,126,126,504,504,1008,882,126,1008,168,168,1792,224,784,1568,224,224,672,
1120,224,336,672,896,448,896,1344,1344,1344,7,98,1176,14,168,21,21,147,49,63,
252,441,1764,882,126,147,63,126,252,63,252,63,252,252,42,126,252,252,42,42,
126,126,252,252,252,504,126,882,126,504,1008,126,252,126,126,252,126,882,252,
252,504,504,1008,126,126,126,252,252,252,504,1008,504,1008,126,126,126,252,
252,882,882,126,126,252,252,1008,252,252,1008,252,504,1008,504,1008,504,504,
504,504,1792,512,1024,512,784,112,336,336,336,672,336,672,1344,336,672,336,
672,672,672,672,672,672,672,672,672,672,1344,1344,448,672,672,1344,147,63,63,
63,252,252,504,63,63,126,252,252,252,147,21,294,42,42,126,126,252,42,126,126,
252,504,294,42,42,126,126,126,126,126,126,252,252,252,126,126,252,504,126,882,
126,252,504,1008,42,126,63,126,126,252,441,126,126,252,252,126,252,126,252,
252,504,63,84,84,252,252,84,252,126,126,252,126,126,126,126,252,252,126,126,
126,126,168,252,252,252,252,252,252,252,504,252,504,504,504,252,252,252,252,
252,252,252,252,252,252,252,252,448,896,896,56,196,28,56,56,392,56,224,224,
224,672,224,672,224,224,336,336,336,168,336,672,336,672,336,336,336,336,672,
672,336,672,672,192,384,512,1,7,14,42,147,63,126,252,21,21,147,63,126,126,126,
126,126,126,126,126,126,252,42,42,126,42,63,63,63,63,126,126,126,126,252,126,
126,126,126,63,63,63,252,252,252,252,252,252,252,252,126,126,252,126,126,252,
126,126,126,126,252,126,126,252,252,252,252,252,252,448,448,448,196,84,168,
336,84,84,168,168,84,84,112,336,336,168,168,168,168,168,168,168,336,336,21,63,
21,21,42,126,63,63,63,63,126,63,63,63,126,126,126,126,252,126,126,126,112,112,
224,224,64,192,192,384,1,7,14,28,28,56,56,56,56,56,168,84,84,84,84,84,84,84,
84,84,84,168,168,168,168,168,7,7,21,63,63,63,63,112,112,7,21,21,21,28,42,84,
84,84,8,64,21,28,28,56,7,7,7,7,14,14,21,21,21,28,28,8,8,16,24,24,7,7,21,7,7,8,
7,7,1,1],[1,105,294,512,896,245,49,98,168,441,252,882,1176,336,1764,588,252,
1008,448,1344,2688,2688,512,3,105,42,294,168,294,441,1176,48,336,63,84,126,
168,441,882,1176,168,1176,168,504,3528,588,252,1764,252,504,504,504,504,504,
1008,1008,1008,2016,126,252,126,882,126,504,126,126,504,1008,1008,168,168,
1792,784,224,224,1120,224,672,224,1568,336,672,448,896,896,1344,1344,1344,7,
14,168,98,1176,21,147,21,49,441,1764,63,252,126,882,147,63,126,252,63,252,63,
252,252,42,126,252,252,42,42,126,126,252,252,252,504,126,126,126,126,252,126,
882,882,126,252,252,252,504,504,1008,504,1008,882,126,504,1008,126,126,252,
252,252,504,1008,126,126,126,252,252,126,882,126,252,252,252,1008,252,252,
1008,504,504,1008,1008,504,504,504,504,1792,512,1024,512,112,784,336,336,336,
336,672,672,1344,672,336,336,672,672,672,672,672,672,672,672,672,672,1344,
1344,448,672,672,1344,147,63,63,63,252,252,504,63,63,126,252,252,252,21,147,
42,294,42,126,126,252,42,126,126,252,42,294,42,882,126,126,126,126,126,126,
252,252,252,126,126,252,504,126,126,252,504,1008,504,42,126,63,126,126,252,
441,126,126,252,252,126,252,126,252,252,504,63,84,84,252,252,84,252,126,126,
252,126,126,126,126,252,252,126,126,126,126,168,252,252,252,252,504,504,252,
252,252,252,504,504,252,252,252,252,252,252,252,252,252,252,252,252,896,448,
896,56,28,196,56,56,56,392,224,224,224,672,224,672,224,224,336,336,336,168,
336,336,336,672,336,336,672,336,672,672,336,672,672,192,384,512,7,1,14,42,147,
63,126,252,21,21,147,63,126,126,126,126,126,126,126,126,126,252,42,42,126,42,
63,63,63,63,126,126,126,126,126,126,126,126,252,63,63,63,252,252,252,252,252,
252,252,252,126,126,252,126,126,252,126,126,126,126,252,126,126,252,252,252,
252,252,252,448,448,448,196,84,168,336,84,84,168,168,84,84,112,336,336,168,
168,168,168,168,168,168,336,336,21,63,21,21,42,126,63,63,63,63,126,63,63,63,
126,126,126,126,252,126,126,126,112,112,224,224,64,192,192,384,7,1,14,28,28,
56,56,56,56,56,168,84,84,84,84,84,84,84,84,84,84,168,168,168,168,168,7,7,21,
63,63,63,63,112,112,7,21,21,21,28,42,84,84,84,8,64,21,28,28,56,7,7,7,7,14,14,
21,21,21,28,28,8,8,16,24,24,7,7,21,7,7,8,7,7,1,1],[1,15,420,560,560,35,140,
420,840,630,630,2520,2016,3360,3360,1680,1680,960,15,105,420,210,630,1260,
2520,2520,315,630,1260,210,420,1260,1120,2016,140,140,560,700,560,840,1680,
560,560,1680,1680,1680,1680,960,1,35,105,105,315,315,630,1260,630,315,1260,
630,630,1260,1260,1120,2016,960,840,840,840,1680,840,2520,1680,1680,420,840,
420,420,840,420,1680,1680,105,105,630,105,315,315,315,630,315,630,630,560,560,
1120,960,35,140,35,140,140,140,420,840,420,420,420,420,420,420,420,420,420,
840,120,336,1008,672,35,105,315,315,315,315,315,560,560,126,210,210,420,105,
105,105,420,420,420,420,420,120,336,336,315,70,140,126,120,240,120,35,35,35,
35,105,105,105,105,105,105,105,70,140,126,120,120,120,112,112,105,105,105,105,
105,35,70,21,42,35,15,21,16,15,15,7,1],[1,15,420,560,560,35,140,420,630,840,
630,2520,2016,3360,3360,1680,1680,960,15,105,210,420,630,1260,2520,2520,630,
1260,315,420,210,1260,1120,2016,140,560,700,560,1680,140,840,560,560,1680,
1680,1680,1680,960,1,35,105,105,315,630,315,1260,630,315,1260,630,630,1260,
1260,1120,2016,960,840,840,840,1680,1680,1680,840,2520,420,840,420,420,420,
840,1680,1680,105,105,630,105,315,315,315,630,315,630,630,560,560,1120,960,35,
140,35,140,140,140,420,420,840,420,420,420,420,420,420,420,840,420,120,336,
1008,672,35,105,315,315,315,315,315,560,560,126,210,210,420,105,105,105,420,
420,420,420,420,120,336,336,315,70,140,126,240,120,120,35,35,35,35,105,105,
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],[1,129,798,512,896,245,133,98,1176,693,2772,1890,
1176,2352,2772,924,1764,3024,512,5376,5376,5376,2688,512,45,105,294,294,1176,
294,693,1176,48,336,441,588,1176,378,504,693,882,1176,1512,1848,1176,2520,
3528,924,1764,2772,1764,1512,1512,3528,2520,2520,2520,3024,3024,6048,5040,
6048,882,1764,378,1386,378,1512,1512,3024,882,882,1512,3024,5040,168,504,1176,
1008,1792,784,224,224,1120,224,672,224,1568,336,672,1792,896,896,2688,2688,
5376,2688,5376,2688,2688,1536,3,7,14,168,98,1176,147,147,231,147,49,441,1764,
189,756,630,882,231,147,441,441,588,378,756,378,756,189,756,441,1260,756,42,
126,630,1260,378,756,756,756,756,756,1512,294,294,126,42,882,378,378,756,756,
756,1512,378,378,126,504,1008,378,756,882,882,882,630,1260,378,378,1260,756,
756,1512,756,1512,504,1008,1512,3024,1512,1512,3024,1386,630,1512,3024,378,
378,378,756,756,756,1512,3024,1512,3024,882,882,378,882,1764,1764,882,882,
1386,882,1764,756,756,3024,1260,1260,5040,1764,1512,3024,1512,1512,1512,3024,
5040,1176,3528,504,3528,1512,3528,504,1512,504,504,504,1008,1008,1008,1008,
1792,3584,512,1024,512,224,784,672,1008,336,672,336,1344,2016,672,1344,1344,
1344,1344,4032,4032,1344,672,1008,336,672,1344,672,672,672,2016,672,672,672,
672,2016,1344,1344,896,1792,672,672,2688,2688,2688,2688,2688,2688,231,147,189,
189,189,756,756,1512,441,441,441,588,378,756,378,756,756,1260,63,147,42,294,
126,378,378,756,42,126,126,252,504,126,294,126,294,882,378,378,378,378,378,
378,756,756,756,378,378,756,1512,378,378,756,1512,378,378,630,756,756,756,
1260,504,1008,1512,3024,1512,42,126,378,630,756,189,378,378,756,189,189,378,
378,756,441,378,378,756,756,126,252,378,756,252,504,756,1512,189,84,252,588,
252,1764,756,1764,1764,84,252,252,756,126,126,378,378,756,756,756,378,378,378,
378,756,378,378,378,378,756,756,756,756,756,252,378,378,126,378,378,882,378,
126,882,882,1764,1176,168,756,756,756,756,252,1512,504,756,756,756,756,756,
756,252,756,756,756,756,252,252,504,504,252,504,252,504,504,504,252,756,756,
756,756,252,252,252,252,756,756,756,756,756,756,756,756,756,252,1260,1260,756,
1512,1512,1512,756,756,756,252,756,756,756,1260,1512,1512,252,504,504,504,504,
504,504,504,504,504,1008,896,448,896,1792,512,1536,56,28,196,56,56,56,392,336,
224,224,224,672,224,672,224,224,336,672,336,336,168,672,1344,336,672,672,1008,
672,336,672,1008,336,672,336,672,1344,672,672,672,672,672,2016,2016,672,672,
672,336,336,672,336,336,672,672,672,672,672,672,672,672,672,672,672,672,672,
2688,192,384,512,7,1,42,126,14,42,147,21,63,126,252,189,378,756,63,147,147,21,
441,147,63,189,378,189,378,378,378,126,126,126,378,378,378,756,252,126,42,42,
126,126,378,42,63,189,189,189,378,189,189,378,378,126,378,378,63,63,189,189,
378,378,378,378,378,378,126,126,252,126,378,378,378,378,378,378,378,126,126,
252,63,189,189,189,189,189,252,252,84,756,756,756,756,756,756,756,756,756,756,
756,756,252,252,252,252,756,252,252,252,252,84,252,252,756,756,756,756,756,
588,126,126,378,378,378,378,126,126,252,252,126,126,126,252,378,378,756,126,
126,378,126,378,378,378,378,630,126,378,756,756,1512,378,378,378,126,378,756,
756,756,756,756,756,252,252,1512,252,252,252,252,252,252,756,756,252,252,252,
252,504,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,
252,252,252,504,756,756,756,252,252,252,252,252,252,252,252,504,504,896,448,
896,448,896,448,896,28,196,84,168,252,504,336,1008,336,336,336,252,84,168,168,
84,84,336,224,672,336,336,336,168,168,504,504,168,168,168,336,336,672,672,672,
336,336,336,336,672,672,672,672,672,672,672,336,672,336,672,336,336,336,336,
672,672,192,512,21,3,189,63,21,21,63,21,63,63,189,378,378,378,378,126,378,42,
126,126,378,42,126,189,189,189,189,189,378,378,378,63,63,126,126,126,63,189,
63,63,189,63,189,189,63,63,378,126,126,126,189,189,63,189,189,63,63,378,126,
126,378,378,126,126,126,378,378,378,378,126,126,126,126,252,252,126,126,126,
126,378,126,378,378,378,126,126,378,126,126,126,126,252,126,126,126,126,126,
126,126,126,252,252,252,252,252,252,252,252,252,756,756,252,252,252,252,252,
252,252,252,252,112,112,224,224,448,896,64,192,192,384,7,1,14,28,28,56,56,56,
56,168,56,168,252,252,84,84,84,84,168,168,84,84,84,168,168,84,84,84,84,84,252,
84,84,84,84,84,84,84,84,84,84,84,504,168,504,168,168,168,168,168,168,168,168,
168,168,168,168,168,168,672,336,336,7,21,7,21,21,63,63,63,63,63,63,63,189,189,
63,63,189,63,189,63,63,63,189,189,63,63,63,63,63,63,63,63,63,63,63,378,378,
126,126,126,126,126,126,126,126,126,126,112,112,224,224,112,112,224,192,192,
192,7,1,21,63,63,21,28,28,42,84,84,84,84,84,84,84,84,84,84,84,84,252,84,84,84,
84,84,84,84,84,84,84,84,84,84,84,168,168,168,168,168,168,168,168,168,168,8,64,
21,21,63,21,63,63,63,63,63,63,63,63,63,63,63,28,28,56,112,112,7,7,7,7,21,14,
14,21,21,21,63,21,63,21,21,21,21,42,42,84,84,84,84,24,64,63,28,28,28,28,28,28,
56,8,8,16,24,24,7,7,7,7,21,21,21,21,21,21,21,21,21,21,21,21,21,42,42,7,7,28,
28,8,24,24,24,21,21,21,8,7,7,7,7,7,7,8,7,7,1,3,1,1],[1,129,798,512,896,133,
245,98,1176,693,2772,1890,1176,2352,2772,924,1764,3024,512,5376,5376,5376,
2688,512,105,45,294,294,1176,294,441,1176,336,48,693,588,1176,882,1176,693,
378,504,1848,1512,1176,3528,2520,924,2772,1764,1764,2520,2520,2520,1512,1512,
3528,3024,3024,6048,5040,6048,882,1764,882,882,378,1512,1512,3024,1386,378,
1512,3024,5040,504,168,1176,1008,1792,224,784,1568,224,224,672,1120,224,336,
672,896,1792,896,2688,2688,2688,5376,5376,2688,2688,1536,7,3,98,1176,14,168,
147,147,147,231,49,189,756,441,1764,882,630,147,231,441,441,588,378,756,378,
756,189,756,441,756,1260,126,42,378,756,630,1260,756,756,756,756,1512,294,294,
42,126,882,378,378,756,756,756,1512,126,882,378,1512,3024,630,1260,378,378,
378,378,756,882,882,756,1260,756,1512,756,1512,1512,3024,504,1008,1512,504,
1008,882,378,1512,3024,630,378,378,756,756,756,1512,3024,1512,3024,882,882,
882,882,1764,1764,1386,1386,882,378,1764,1260,1260,5040,756,756,3024,1764,
1512,3024,1512,1512,1512,3024,5040,1176,3528,1512,3528,504,3528,1512,504,504,
504,504,1008,1008,1008,1008,1792,3584,512,1024,512,784,224,1008,672,336,672,
336,2016,1344,672,1344,1344,4032,4032,1344,1344,1344,1008,672,336,672,2016,
672,672,672,1344,2016,672,672,672,672,1344,1344,1792,896,672,672,2688,2688,
2688,2688,2688,2688,147,231,189,189,189,756,756,1512,441,441,441,588,378,756,
378,756,1260,756,147,63,294,42,42,126,126,252,126,378,378,756,1512,294,126,
294,126,378,378,378,378,378,378,378,756,756,756,378,378,756,1512,378,378,756,
1512,630,882,378,756,756,1260,756,1512,3024,504,1008,504,126,42,630,378,756,
189,378,378,756,441,189,378,378,756,189,378,378,756,756,378,756,126,252,756,
1512,252,504,189,252,84,588,756,1764,252,1764,1764,252,756,84,252,378,378,126,
126,756,756,756,378,378,378,378,756,378,378,378,378,756,756,756,756,252,756,
126,378,378,378,378,882,126,378,882,882,1764,1176,168,756,756,756,252,252,504,
504,756,756,756,756,756,756,756,252,756,756,756,756,252,504,504,252,504,252,
504,504,1512,756,252,756,756,756,252,252,252,252,756,756,756,756,756,756,1260,
1260,252,756,756,756,756,1512,1512,1512,252,756,756,756,1260,756,756,756,1512,
1512,252,504,504,504,504,504,504,504,504,504,1008,448,896,896,1792,512,1536,
56,196,28,56,56,392,56,224,336,224,224,672,224,672,224,224,336,336,672,336,
168,336,672,336,672,1008,672,1008,336,672,672,672,1344,336,672,2016,2016,672,
672,672,672,1344,672,672,672,336,672,336,336,672,336,672,672,672,672,672,672,
672,672,672,672,672,672,672,2688,192,384,512,1,7,14,42,42,126,21,147,189,378,
756,63,126,252,21,147,147,63,441,63,147,189,378,189,378,378,378,378,378,378,
126,126,126,252,756,42,126,126,378,42,126,42,189,63,189,189,378,189,189,378,
126,378,378,378,189,189,63,63,378,378,378,378,378,378,126,126,252,378,378,378,
378,378,378,378,126,126,126,252,189,189,189,189,63,189,84,252,252,756,756,756,
756,756,756,756,756,756,756,756,756,756,252,252,252,252,252,252,252,252,252,
756,84,252,756,756,756,756,588,378,378,126,126,126,126,378,378,252,252,126,
378,378,756,126,126,252,126,126,378,378,378,126,378,126,378,378,630,756,756,
1512,378,126,378,378,378,252,252,756,756,756,756,756,756,1512,252,252,252,252,
756,756,252,252,252,252,252,252,504,252,252,252,252,252,252,252,252,252,252,
252,252,252,252,252,252,252,252,252,252,504,756,756,756,252,252,252,252,252,
252,252,252,504,504,448,896,448,896,448,896,896,196,28,252,504,84,168,336,336,
336,1008,336,84,252,168,168,84,84,224,336,336,336,672,336,168,504,168,168,168,
504,168,336,672,336,336,336,672,672,336,336,672,672,672,672,672,672,672,672,
336,336,336,336,672,336,336,672,672,192,512,3,21,63,189,21,63,21,63,189,21,63,
378,378,378,378,42,126,126,378,42,126,126,378,189,189,189,63,63,126,126,126,
189,189,378,378,378,63,63,63,189,63,189,63,63,189,189,126,378,126,126,189,189,
189,189,63,63,63,126,378,126,126,126,378,126,378,126,126,126,126,378,378,378,
378,252,252,126,126,126,126,126,378,378,378,378,126,126,378,126,126,126,126,
252,126,126,126,126,126,126,126,126,252,252,252,252,252,252,252,252,252,756,
756,252,252,252,252,252,252,252,252,252,112,112,224,224,896,448,64,192,192,
384,1,7,14,28,28,56,56,168,56,56,56,168,84,84,84,252,252,84,168,168,84,84,84,
168,168,84,84,84,84,252,84,84,84,84,84,84,84,84,84,84,84,84,168,504,168,168,
168,504,168,168,168,168,168,168,168,168,168,168,168,336,672,336,21,7,7,21,21,
63,63,63,63,63,189,63,63,63,189,63,63,189,189,63,189,189,63,63,63,63,63,63,63,
63,63,63,63,63,63,126,126,378,378,126,126,126,126,126,126,126,126,112,112,224,
224,112,112,224,192,192,192,1,7,63,21,21,63,28,28,42,84,84,84,84,84,84,84,84,
84,84,84,252,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,168,168,168,168,168,
168,168,168,168,168,8,64,21,21,21,63,63,63,63,63,63,63,63,63,63,63,63,28,28,
56,112,112,7,7,7,21,7,14,14,63,63,21,21,21,21,21,21,21,21,42,42,84,84,84,84,
24,64,63,28,28,28,28,28,28,56,8,8,16,24,24,7,7,7,21,7,21,21,21,21,21,21,21,21,
21,21,21,21,42,42,7,7,28,28,8,24,24,24,21,21,21,8,7,7,7,7,7,7,8,7,7,1,3,1,1],[
1,225,1470,2240,896,525,245,490,2520,2205,3780,4410,5880,5040,8820,2940,3780,
15120,5376,2240,20160,8960,20160,13440,7680,45,225,630,1470,2520,1470,2205,
5880,720,1680,945,1260,840,1890,2520,2205,4410,5880,2520,5880,2520,7560,17640,
2940,3780,8820,3780,7560,2520,7560,7560,7560,7560,15120,15120,10080,15120,
30240,1890,3780,1890,4410,1890,2520,7560,5040,1890,1890,7560,15120,15120,2520,
840,2520,5040,4480,5376,3920,1680,1120,1120,1120,7840,5040,3360,2240,6720,
4480,6720,13440,6720,20160,20160,13440,6720,7680,5376,1,15,210,2520,490,5880,
105,315,735,315,245,2205,8820,945,3780,1890,4410,735,105,945,315,420,630,1260,
1890,3780,945,3780,945,3780,3780,630,210,1890,3780,630,1260,3780,1260,1260,
1260,2520,630,210,210,630,630,1890,1890,3780,3780,3780,7560,1890,1890,1890,
2520,5040,1890,3780,1890,4410,4410,1890,3780,630,630,3780,1260,3780,7560,1260,
2520,2520,5040,7560,15120,2520,7560,15120,4410,1890,7560,15120,630,1890,1890,
3780,3780,3780,7560,5040,2520,15120,630,1890,1890,1890,3780,3780,1890,630,
4410,1890,3780,3780,3780,15120,3780,3780,15120,1260,2520,5040,2520,7560,7560,
15120,15120,840,2520,7560,7560,2520,7560,7560,2520,2520,2520,2520,5040,5040,
5040,5040,4480,8960,8960,16128,7680,1680,3920,5040,5040,5040,3360,5040,3360,
10080,10080,6720,6720,6720,20160,6720,5040,5040,5040,3360,3360,10080,3360,
3360,10080,3360,3360,10080,6720,6720,2240,10080,3360,10080,6720,6720,13440,
6720,6720,6720,5376,735,105,945,945,945,3780,3780,7560,945,315,945,420,1890,
3780,630,1260,3780,3780,315,735,630,1470,630,1890,1890,3780,630,1890,1890,
3780,2520,630,1470,210,630,4410,1890,1890,1890,1890,1890,1890,3780,3780,3780,
1890,1890,3780,7560,630,630,1260,2520,1890,630,1890,1260,1260,1260,3780,2520,
5040,7560,15120,7560,630,210,630,1890,1260,315,630,630,1260,315,945,1890,1890,
3780,2205,1890,1890,3780,3780,1890,3780,1890,3780,1260,2520,3780,7560,945,
1260,420,1260,3780,3780,1260,1260,1260,1260,3780,420,1260,1890,1890,630,630,
1260,3780,1260,630,630,630,630,1260,1890,1890,1890,1890,3780,1260,1260,1260,
1260,3780,630,1890,1890,630,630,1890,630,1890,630,630,1260,840,2520,3780,3780,
3780,1260,3780,7560,7560,3780,3780,3780,1260,1260,1260,1260,1260,1260,1260,
1260,1260,3780,7560,7560,1260,2520,1260,2520,2520,2520,3780,1260,1260,3780,
1260,1260,1260,1260,1260,3780,3780,3780,1260,1260,1260,1260,1260,1260,3780,
3780,3780,1260,2520,2520,2520,1260,1260,1260,3780,1260,3780,3780,3780,2520,
2520,1260,2520,2520,2520,2520,2520,2520,2520,2520,2520,5040,2240,4480,4480,
4480,4480,7680,56,140,980,280,1960,560,1680,1120,1120,3360,3360,1120,1680,
1680,5040,5040,840,1680,3360,1680,3360,5040,1680,5040,5040,10080,5040,5040,
10080,5040,3360,3360,3360,3360,10080,10080,3360,3360,3360,1680,1680,1680,1680,
1680,1680,3360,3360,3360,3360,3360,3360,3360,3360,10080,3360,10080,3360,3360,
3360,6720,960,2880,5760,896,2688,2688,5376,35,15,70,210,210,630,735,105,315,
630,1260,945,1890,3780,105,315,105,315,315,735,105,945,1890,315,630,1890,1890,
1890,1890,1890,1890,1890,1890,3780,1260,210,630,630,1890,210,630,630,945,945,
315,315,630,945,945,1890,630,1890,630,630,315,315,315,315,630,630,630,630,630,
630,630,630,1260,630,630,630,630,1890,1890,1890,1890,1890,1890,3780,945,315,
315,945,315,945,420,3780,420,1260,1260,1260,1260,1260,1260,1260,1260,3780,
3780,3780,3780,1260,3780,3780,3780,1260,1260,1260,1260,1260,420,1260,420,1260,
1260,1260,1260,1260,420,630,630,1890,1890,630,630,630,630,1260,3780,630,1890,
1890,3780,630,630,1260,630,630,630,1890,1890,630,630,630,1890,1890,630,3780,
1260,2520,630,630,1890,1890,630,1260,1260,1260,1260,3780,3780,3780,3780,2520,
1260,1260,1260,1260,3780,3780,1260,1260,1260,1260,1260,1260,2520,1260,1260,
1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,
1260,1260,1260,2520,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,
2520,2520,2240,2240,2240,4480,4480,336,140,980,420,840,1260,2520,560,5040,
1680,1260,420,840,1260,420,1260,560,1680,1680,1680,5040,5040,840,840,2520,840,
2520,1680,1680,1680,1680,1680,1680,1680,1680,1680,3360,3360,3360,3360,3360,
1680,1680,1680,1680,1680,1680,1680,1680,3360,3360,3360,960,960,2688,2688,2688,
105,15,945,315,15,315,315,105,315,105,315,630,630,630,630,210,630,630,1890,
210,630,210,630,315,315,315,315,315,630,630,630,315,315,630,630,630,945,945,
315,315,315,315,945,945,315,315,630,630,1890,630,315,945,945,315,315,315,945,
630,630,630,1890,630,630,1890,630,1890,1890,630,630,630,630,630,630,3780,1260,
630,630,630,630,630,1890,1890,630,630,630,1890,630,630,630,630,630,1260,630,
630,630,630,630,630,630,630,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,
1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,280,560,1120,2240,336,960,
960,2880,2880,960,896,35,70,140,420,280,280,280,840,2520,280,840,1260,420,
1260,420,420,420,840,420,420,420,420,840,420,420,1260,420,420,1260,420,420,
420,420,420,1260,1260,420,420,1260,1260,420,420,420,420,420,420,840,840,2520,
840,2520,840,840,840,840,840,840,2520,840,1680,1680,1680,336,105,35,105,315,
105,315,315,945,945,315,315,945,945,315,315,315,315,315,315,315,315,315,315,
315,315,315,315,315,315,315,315,315,315,315,315,630,630,630,630,630,630,630,
630,630,630,630,630,280,560,1120,560,560,560,560,1008,960,960,960,960,960,960,
448,448,896,35,315,315,140,420,210,420,420,420,420,420,420,420,420,420,420,
420,420,420,420,420,420,420,420,420,420,1260,1260,420,420,420,420,420,420,420,
420,420,420,420,420,840,840,840,840,840,840,840,840,840,840,120,336,105,315,
105,105,315,315,315,315,315,315,315,315,315,315,315,140,280,280,280,560,280,
448,448,105,105,35,35,70,315,315,105,105,105,210,210,420,420,420,420,420,120,
120,56,168,336,315,140,140,140,280,280,120,360,360,120,105,105,35,35,105,105,
105,105,105,105,105,105,105,210,168,168,35,140,128,120,120,120,120,120,120,
120,56,105,105,105,35,35,35,28,56,35,15,28,16,15,15,8,1],[1,225,1470,2240,896,
245,525,490,5880,2205,8820,4410,2520,5040,3780,2940,3780,15120,5376,2240,
20160,8960,20160,13440,7680,225,45,1470,1470,5880,630,945,2520,1680,720,2205,
1260,2520,4410,5880,2205,1890,2520,5880,2520,840,17640,7560,2940,8820,3780,
3780,7560,7560,7560,7560,2520,7560,15120,15120,30240,15120,10080,1890,3780,
1890,1890,1890,7560,7560,15120,4410,1890,2520,5040,15120,840,2520,2520,5040,
4480,5376,1680,3920,7840,1120,1120,3360,1120,5040,6720,2240,4480,6720,13440,
20160,6720,20160,13440,6720,7680,5376,15,1,490,5880,210,2520,315,105,315,735,
245,945,3780,2205,8820,4410,1890,105,735,315,945,420,1890,3780,630,1260,945,
3780,945,3780,3780,210,630,630,1260,1890,3780,1260,3780,1260,1260,2520,210,
630,630,210,630,1890,1890,3780,3780,3780,7560,1890,4410,1890,7560,15120,1890,
3780,630,630,1890,1890,3780,1890,4410,1260,3780,1260,2520,3780,7560,7560,
15120,2520,5040,2520,2520,5040,630,630,2520,5040,1890,1890,1890,3780,3780,
3780,7560,15120,7560,15120,630,1890,1890,1890,3780,3780,4410,4410,1890,1890,
1260,3780,3780,15120,3780,3780,15120,3780,7560,15120,7560,2520,2520,5040,
15120,840,7560,2520,7560,7560,2520,2520,7560,2520,2520,2520,5040,5040,5040,
5040,4480,8960,8960,16128,7680,3920,1680,5040,5040,5040,10080,5040,10080,3360,
3360,6720,6720,20160,6720,6720,5040,5040,5040,10080,10080,3360,3360,10080,
3360,3360,3360,3360,6720,2240,6720,3360,10080,10080,6720,6720,13440,6720,6720,
6720,5376,105,735,945,945,945,3780,3780,7560,315,945,945,420,630,1260,1890,
3780,3780,3780,735,315,1470,630,630,1890,1890,3780,630,1890,1890,3780,7560,
1470,630,630,210,630,1890,1890,1890,1890,1890,1890,3780,3780,3780,630,630,
1260,2520,1890,1890,3780,7560,1890,4410,1890,1260,1260,3780,1260,7560,15120,
2520,5040,2520,210,630,1890,630,1260,945,1890,1890,3780,2205,315,630,630,1260,
315,1890,1890,3780,3780,1890,3780,1890,3780,3780,7560,1260,2520,945,420,1260,
1260,1260,1260,3780,3780,1260,420,1260,1260,3780,630,630,1890,1890,3780,1260,
1260,1890,1890,1890,1890,3780,630,630,630,630,1260,1260,1260,1260,3780,1260,
1890,630,630,1890,630,630,1890,630,1890,630,1260,840,2520,1260,1260,1260,1260,
1260,2520,2520,3780,3780,3780,3780,3780,3780,1260,1260,1260,1260,1260,1260,
1260,2520,2520,3780,7560,3780,7560,7560,7560,1260,3780,3780,1260,1260,1260,
1260,1260,1260,1260,1260,1260,3780,3780,3780,3780,3780,3780,1260,1260,1260,
1260,2520,2520,2520,3780,3780,3780,1260,3780,1260,1260,1260,2520,2520,1260,
2520,2520,2520,2520,2520,2520,2520,2520,2520,5040,2240,4480,4480,4480,4480,
7680,56,980,140,280,1960,1680,560,1120,1120,3360,1120,3360,5040,5040,1680,
1680,840,5040,10080,5040,10080,5040,5040,1680,1680,3360,5040,1680,3360,5040,
10080,10080,3360,3360,3360,3360,3360,3360,3360,1680,1680,1680,1680,1680,1680,
3360,3360,3360,3360,3360,3360,3360,10080,3360,10080,3360,3360,3360,3360,6720,
2880,960,5760,896,2688,2688,5376,15,35,210,630,70,210,105,735,945,1890,3780,
315,630,1260,315,105,315,105,315,105,735,315,630,945,1890,1890,1890,1890,1890,
1890,1890,1890,1890,1260,3780,630,210,210,630,630,1890,630,945,945,945,945,
1890,315,315,630,1890,630,630,630,315,315,315,315,630,630,630,630,630,630,
1890,1890,3780,1890,1890,1890,1890,630,630,630,630,630,630,1260,315,945,315,
315,945,945,420,1260,420,1260,1260,1260,1260,1260,3780,3780,3780,3780,1260,
1260,1260,1260,1260,1260,1260,1260,3780,3780,3780,3780,420,1260,420,1260,1260,
1260,1260,1260,420,1890,1890,630,630,630,630,630,630,3780,1260,630,630,630,
1260,1890,1890,3780,630,630,1890,630,630,1890,630,1890,630,630,1890,1260,3780,
2520,1890,1890,630,630,630,3780,3780,3780,3780,1260,1260,1260,1260,2520,1260,
1260,1260,1260,1260,1260,3780,3780,1260,1260,1260,1260,2520,1260,1260,1260,
1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,
1260,1260,2520,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,2520,
2520,2240,2240,2240,4480,4480,336,980,140,1260,2520,420,840,560,5040,1680,420,
1260,840,1260,1260,420,1680,560,5040,5040,1680,1680,840,2520,840,840,2520,
1680,1680,1680,1680,1680,1680,1680,1680,1680,3360,3360,3360,3360,3360,1680,
1680,1680,1680,1680,1680,1680,1680,3360,3360,3360,960,960,2688,2688,2688,15,
105,315,945,15,315,315,105,315,105,315,630,630,630,630,630,1890,210,630,210,
630,210,630,315,315,315,315,315,630,630,630,315,315,630,630,630,315,315,945,
945,315,315,315,315,945,945,630,630,630,1890,315,315,315,945,945,315,945,630,
630,1890,630,630,1890,630,630,630,630,630,630,630,630,1890,1890,1260,3780,630,
630,630,630,1890,630,630,630,630,1890,630,1890,630,630,630,630,1260,630,630,
630,630,630,630,630,630,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,
1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,280,560,1120,2240,336,960,
2880,960,960,2880,896,35,70,420,140,280,280,280,280,840,840,2520,420,420,420,
420,1260,1260,840,420,420,420,420,840,420,420,420,1260,1260,420,420,420,420,
420,420,420,1260,1260,1260,420,420,1260,420,420,420,420,420,840,840,840,2520,
840,2520,840,840,840,840,2520,840,840,1680,1680,1680,336,35,105,105,105,315,
945,945,315,315,315,945,315,315,315,315,945,315,315,315,315,315,315,315,315,
315,315,315,315,315,315,315,315,315,315,315,630,630,630,630,630,630,630,630,
630,630,630,630,280,560,1120,560,560,560,560,1008,960,960,960,960,960,960,448,
448,896,35,315,315,420,140,210,420,420,420,420,420,420,420,420,420,420,420,
420,420,420,420,420,420,420,420,1260,420,420,1260,420,420,420,420,420,420,420,
420,420,420,420,840,840,840,840,840,840,840,840,840,840,120,336,315,105,105,
105,315,315,315,315,315,315,315,315,315,315,315,140,280,280,280,560,280,448,
448,105,35,105,35,70,105,315,315,105,105,210,210,420,420,420,420,420,120,120,
56,168,336,315,140,140,140,280,280,120,120,360,360,105,35,105,35,105,105,105,
105,105,105,105,105,105,210,168,168,35,140,128,120,120,120,120,120,120,120,56,
105,105,105,35,35,35,28,56,35,15,28,16,15,15,8,1],[1,465,6510,9920,27776,1085,
1085,2170,26040,9765,39060,19530,26040,52080,39060,13020,39060,156240,166656,
9920,208320,277760,208320,416640,79360,465,465,6510,6510,26040,6510,9765,
26040,7440,7440,9765,13020,26040,19530,26040,9765,19530,26040,26040,26040,
26040,78120,78120,13020,39060,39060,39060,78120,78120,78120,78120,78120,78120,
156240,156240,312480,156240,312480,19530,39060,19530,19530,19530,78120,78120,
156240,19530,19530,78120,156240,156240,26040,26040,26040,156240,138880,166656,
17360,17360,34720,34720,34720,104160,34720,34720,52080,104160,69440,69440,
138880,208320,416640,208320,208320,208320,416640,208320,238080,166656,31,31,
2170,26040,2170,26040,3255,3255,3255,3255,1085,9765,39060,9765,39060,19530,
19530,3255,3255,9765,9765,13020,19530,39060,19530,39060,9765,39060,9765,39060,
39060,6510,6510,19530,39060,19530,39060,39060,39060,39060,39060,78120,6510,
6510,6510,6510,19530,19530,19530,39060,39060,39060,78120,19530,19530,19530,
78120,156240,19530,39060,19530,19530,19530,19530,39060,19530,19530,39060,
39060,39060,78120,39060,78120,78120,156240,78120,156240,78120,78120,156240,
19530,19530,78120,156240,19530,19530,19530,39060,39060,39060,78120,156240,
78120,156240,19530,19530,19530,19530,39060,39060,19530,19530,19530,19530,
39060,39060,39060,156240,39060,39060,156240,39060,78120,156240,78120,78120,
78120,156240,156240,26040,78120,78120,78120,78120,78120,78120,78120,78120,
78120,78120,156240,156240,156240,156240,138880,277760,277760,499968,79360,
158720,79360,17360,17360,52080,52080,52080,104160,52080,104160,104160,104160,
208320,208320,208320,208320,208320,208320,208320,52080,52080,52080,104160,
104160,104160,104160,104160,104160,104160,104160,104160,104160,104160,208320,
208320,69440,69440,104160,104160,104160,208320,208320,416640,208320,208320,
208320,166656,64512,3255,3255,9765,9765,9765,39060,39060,78120,9765,9765,9765,
13020,19530,39060,19530,39060,39060,39060,3255,3255,6510,6510,6510,19530,
19530,39060,6510,19530,19530,39060,78120,6510,6510,6510,6510,19530,19530,
19530,19530,19530,19530,19530,39060,39060,39060,19530,19530,39060,78120,19530,
19530,39060,78120,19530,19530,19530,39060,39060,39060,39060,78120,156240,
78120,156240,78120,6510,6510,19530,19530,39060,9765,19530,19530,39060,9765,
9765,19530,19530,39060,9765,19530,19530,39060,39060,19530,39060,19530,39060,
39060,78120,39060,78120,9765,13020,13020,13020,39060,39060,39060,39060,39060,
13020,39060,13020,39060,19530,19530,19530,19530,39060,39060,39060,19530,19530,
19530,19530,39060,19530,19530,19530,19530,39060,39060,39060,39060,39060,39060,
19530,19530,19530,19530,19530,19530,19530,19530,19530,19530,39060,26040,26040,
39060,39060,39060,39060,39060,78120,78120,39060,39060,39060,39060,39060,39060,
39060,39060,39060,39060,39060,39060,39060,78120,78120,39060,78120,39060,78120,
78120,78120,39060,39060,39060,39060,39060,39060,39060,39060,39060,39060,39060,
39060,39060,39060,39060,39060,39060,39060,39060,39060,39060,39060,78120,78120,
78120,39060,39060,39060,39060,39060,39060,39060,39060,78120,78120,39060,78120,
78120,78120,78120,78120,78120,78120,78120,78120,156240,69440,69440,138880,
138880,138880,138880,79360,238080,1736,1736,4340,4340,8680,8680,8680,8680,
17360,17360,34720,34720,104160,34720,104160,34720,34720,52080,52080,52080,
52080,26040,26040,52080,104160,52080,104160,52080,52080,52080,52080,104160,
52080,52080,104160,52080,104160,104160,104160,104160,104160,104160,104160,
104160,104160,104160,104160,52080,52080,52080,52080,52080,52080,104160,104160,
104160,104160,104160,104160,104160,104160,104160,104160,104160,104160,104160,
104160,104160,104160,208320,29760,29760,59520,59520,27776,83328,83328,83328,
166656,79360,155,155,2170,6510,2170,6510,3255,3255,9765,19530,39060,9765,
19530,39060,3255,3255,3255,3255,9765,3255,3255,9765,19530,9765,19530,19530,
19530,19530,19530,19530,19530,19530,19530,39060,39060,6510,6510,6510,19530,
6510,19530,6510,9765,9765,9765,9765,19530,9765,9765,19530,19530,19530,19530,
19530,9765,9765,9765,9765,19530,19530,19530,19530,19530,19530,19530,19530,
39060,19530,19530,19530,19530,19530,19530,19530,19530,19530,19530,39060,9765,
9765,9765,9765,9765,9765,13020,39060,13020,39060,39060,39060,39060,39060,
39060,39060,39060,39060,39060,39060,39060,39060,39060,39060,39060,39060,39060,
39060,39060,39060,13020,39060,13020,39060,39060,39060,39060,39060,13020,19530,
19530,19530,19530,19530,19530,19530,19530,39060,39060,19530,19530,19530,39060,
19530,19530,39060,19530,19530,19530,19530,19530,19530,19530,19530,19530,19530,
19530,39060,39060,78120,19530,19530,19530,19530,19530,39060,39060,39060,39060,
39060,39060,39060,39060,78120,39060,39060,39060,39060,39060,39060,39060,39060,
39060,39060,39060,39060,78120,39060,39060,39060,39060,39060,39060,39060,39060,
39060,39060,39060,39060,39060,39060,39060,39060,39060,39060,39060,39060,78120,
39060,39060,39060,39060,39060,39060,39060,39060,39060,39060,39060,78120,78120,
69440,69440,69440,69440,69440,69440,138880,138880,10416,10416,4340,4340,13020,
26040,13020,26040,17360,17360,52080,52080,52080,52080,13020,13020,26040,26040,
13020,13020,13020,17360,17360,52080,52080,52080,52080,26040,26040,26040,26040,
26040,26040,26040,26040,26040,52080,52080,52080,52080,52080,52080,52080,52080,
52080,104160,104160,104160,104160,104160,104160,104160,52080,52080,52080,
52080,52080,52080,52080,52080,52080,52080,104160,104160,104160,29760,29760,
83328,83328,83328,83328,79360,465,465,9765,9765,465,3255,3255,3255,9765,3255,
9765,19530,19530,19530,19530,6510,19530,6510,19530,6510,19530,6510,19530,9765,
9765,9765,9765,9765,19530,19530,19530,9765,9765,19530,19530,19530,9765,9765,
9765,9765,9765,9765,9765,9765,9765,9765,19530,19530,19530,19530,9765,9765,
9765,9765,9765,9765,9765,19530,19530,19530,19530,19530,19530,19530,19530,
19530,19530,19530,19530,19530,19530,19530,19530,39060,39060,19530,19530,19530,
19530,19530,19530,19530,19530,19530,19530,19530,19530,19530,19530,19530,19530,
39060,19530,19530,19530,19530,19530,19530,19530,19530,39060,39060,39060,39060,
39060,39060,39060,39060,39060,39060,39060,39060,39060,39060,39060,39060,39060,
39060,39060,39060,8680,8680,17360,34720,34720,69440,69440,64512,10416,10416,
9920,29760,29760,29760,29760,59520,59520,27776,155,155,2170,2170,4340,4340,
8680,8680,8680,8680,8680,8680,8680,26040,8680,26040,13020,13020,13020,13020,
13020,13020,26040,26040,13020,13020,13020,13020,26040,26040,13020,13020,13020,
13020,13020,13020,13020,13020,13020,13020,13020,13020,13020,13020,13020,13020,
13020,13020,13020,13020,13020,13020,13020,26040,26040,26040,26040,26040,26040,
26040,26040,26040,26040,26040,26040,26040,26040,26040,26040,26040,26040,26040,
26040,26040,26040,26040,52080,52080,52080,10416,10416,1085,1085,1085,3255,
3255,9765,9765,9765,9765,9765,9765,9765,9765,9765,9765,9765,9765,9765,9765,
9765,9765,9765,9765,9765,9765,9765,9765,9765,9765,9765,9765,9765,9765,9765,
9765,19530,19530,19530,19530,19530,19530,19530,19530,19530,19530,19530,19530,
8680,8680,17360,34720,34720,17360,17360,17360,17360,17360,17360,31248,31248,
29760,29760,29760,29760,29760,29760,13888,13888,13888,27776,155,155,3255,3255,
3255,3255,4340,4340,6510,6510,13020,13020,13020,13020,13020,13020,13020,13020,
13020,13020,13020,13020,13020,13020,13020,13020,13020,13020,13020,13020,13020,
13020,13020,13020,13020,13020,13020,13020,13020,13020,13020,13020,13020,13020,
13020,26040,26040,26040,26040,26040,26040,26040,26040,26040,26040,26040,26040,
26040,26040,26040,1240,1240,10416,10416,9920,3255,3255,3255,3255,9765,9765,
9765,9765,9765,9765,9765,9765,9765,9765,9765,4340,4340,8680,8680,8680,8680,
8680,8680,17360,8680,8680,13888,13888,13888,1085,1085,1085,1085,1085,1085,
2170,2170,2170,3255,3255,3255,3255,3255,3255,3255,3255,3255,3255,6510,6510,
6510,6510,13020,13020,13020,13020,13020,3720,3720,3720,1736,1736,5208,5208,
10416,10416,9920,9765,4340,4340,4340,4340,4340,4340,8680,8680,8680,8680,1240,
1240,1240,1240,2480,2480,3720,3720,3720,3720,1085,1085,1085,1085,1085,1085,
3255,3255,3255,3255,3255,3255,3255,3255,3255,3255,3255,3255,3255,3255,6510,
6510,6510,5208,5208,5208,5208,1085,1085,1085,4340,4340,3968,1240,1240,3720,
3720,3720,3720,3720,3720,3720,3720,3720,1736,1736,3255,3255,3255,3255,1240,
1240,1085,1085,1085,1085,1085,1085,1085,1085,1085,868,868,1736,1736,1240,1240,
1085,1085,1085,155,155,868,868,496,465,465,465,155,155,248,248,155,155,31,31,
1]],
[1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,5,6,6,6,6,6,7,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,9,10,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,14,15,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,18,18,18,20,21,21,21,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,30,31,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,36,36,36,36,36,36,42,42,48,48,48,48,48,48,48,
48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,
48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,
48,48,48,48,48,48,48,48,48,48,48,56,56,56,56,60,60,60,60,60,63,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
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,
72,72,72,72,80,80,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,
96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,
96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,112,112,120,120,120,120,
126,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,144,144,144,144,144,144,144,155,160,160,168,168,
168,168,168,168,168,180,192,192,192,192,192,192,192,192,192,192,192,192,192,
192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,
192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,
192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,
192,192,192,192,192,192,192,192,192,240,240,256,256,256,256,256,256,256,256,
256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,
256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,
256,288,288,288,288,288,288,288,288,288,288,288,320,320,336,336,336,336,336,
336,360,360,360,360,384,384,384,384,384,384,384,384,384,384,384,384,384,384,
384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,
384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,
384,384,384,384,384,384,384,384,448,448,480,480,504,512,512,512,512,512,512,
512,512,512,512,512,512,512,512,512,576,576,576,576,576,576,576,576,576,576,
576,720,720,720,768,768,768,768,768,768,768,768,768,768,768,768,768,768,768,
768,768,768,768,768,768,768,768,768,768,768,768,768,896,896,896,960,960,960,
960,960,960,1008,1024,1152,1152,1152,1152,1152,1152,1152,1152,1152,1152,1344,
1344,1344,1344,1344,1344,1344,1344,1344,1344,1536,1536,1536,1536,1536,1536,
1536,1536,1536,1536,1536,1536,1536,1536,1536,1536,1536,1536,1536,1536,1536,
1536,1536,1920,1920,1920,1920,2304,2304,2304,2304,2304,2520,2688,2688,2688,
2688,2688,2688,2688,2688,2688,2688,2688,2880,2880,3072,3072,3072,3072,4032,
4032,4608,4608,4608,4608,4608,4608,4608,4608,4608,5760,5760,5760,5760,8064,
8064,9216,9216,9216,10752,10752,11520,11520,20160,21504,21504,21504,32256,
32256,40320,40320,64512,64512,322560,322560,9999360],
[1411,1400,1345,1303,1171,1393,1392,1385,1218,1304,1117,1245,1217,1099,1113,
1293,1111,741,592,1303,583,510,583,286,882,1401,1402,1346,1345,1218,1347,1304,
1217,1320,1319,1304,1293,1201,1251,1216,1304,1250,1215,1179,1178,1203,888,889,
1293,1120,1120,1120,937,981,937,935,982,935,741,741,307,677,305,1249,1120,
1244,1240,1246,967,933,628,1239,1243,968,627,677,1199,1200,1214,798,810,592,
1262,1261,1153,1152,1151,860,1153,1152,1099,856,1008,1009,809,583,286,583,583,
583,286,583,513,592,1409,1410,1382,1218,1381,1217,1371,1372,1371,1372,1394,
1304,1115,1304,1116,1243,1244,1371,1372,1304,1304,1293,1237,1116,1238,1115,
1304,1131,1304,1102,1103,1346,1347,1243,1102,1244,1103,1102,1103,1131,1133,
933,1342,1341,1332,1331,1249,1240,1239,1102,1103,1120,933,1244,1239,1243,967,
628,1244,1103,1243,1243,1240,1243,1102,1244,1244,1102,1103,1125,933,1123,933,
957,628,968,627,933,956,627,1240,1243,968,627,1244,1244,1243,1125,1123,1133,
933,628,967,677,1249,1239,1244,1240,1120,1120,1239,1239,1240,1243,1120,1103,
1103,677,1102,1102,677,1120,933,628,967,933,968,627,677,1214,887,982,887,981,
887,982,981,981,1002,982,798,798,798,798,810,510,509,242,882,593,882,1261,
1262,1097,1098,1099,835,1099,834,836,837,554,553,552,560,558,555,559,1097,
1098,1099,835,834,837,856,857,836,858,860,862,861,859,528,526,1009,1008,875,
874,873,583,583,286,583,583,583,592,1010,1371,1372,1304,1304,1304,1102,1103,
933,1304,1304,1304,1293,1238,1115,1237,1116,1103,1102,1373,1374,1346,1347,
1344,1244,1244,1103,1343,1243,1243,1102,967,1330,1329,1347,1346,1240,1239,
1239,1240,1240,1240,1239,1102,1103,1120,1240,1243,1120,933,1244,1239,1120,933,
1244,1239,1243,1123,1125,1103,1102,967,628,968,627,968,1346,1347,1244,1243,
1133,1304,1237,1240,1116,1304,1304,1238,1239,1115,1304,1239,1240,1102,1103,
1243,1102,1244,1103,1117,886,1113,885,1304,1289,1290,1293,1146,1120,1145,1120,
1120,1274,1102,1273,1103,1243,1243,1244,1244,1103,1102,1133,1244,1239,1239,
1244,1103,1240,1240,1243,1243,1102,1123,1120,1125,1103,1102,1244,1240,1243,
1239,1249,1240,1244,1243,1239,1249,1120,1214,1231,1120,1120,1120,1148,1147,
893,968,1120,1120,1120,1120,1120,1120,1146,1145,1120,1120,1120,1147,1146,968,
974,1148,967,1145,967,974,891,1102,1103,1103,1102,1131,1147,1148,1145,1146,
1102,1102,1102,1103,1103,1103,1103,1103,1103,1102,1102,1102,1131,933,933,933,
1103,1103,1103,1102,1103,1102,1102,1102,933,933,1111,982,981,982,981,982,981,
981,982,987,798,1009,1008,809,810,810,810,882,513,1389,1388,1355,1356,1309,
1310,1314,1313,1262,1261,1151,1152,860,1153,856,1152,1153,1099,1097,1098,1099,
1221,1222,1097,834,1099,835,1097,1098,1097,1099,837,1098,1098,836,1099,835,
834,858,862,860,861,837,836,859,856,857,1097,1098,1099,1097,1098,1099,857,856,
860,861,858,859,862,875,874,874,875,873,873,874,875,873,583,1163,1162,1018,
1019,1171,880,881,878,592,882,1408,1407,1381,1332,1382,1331,1374,1373,1304,
1240,1117,1304,1239,1113,1371,1372,1371,1372,1304,1374,1373,1304,1239,1304,
1240,1240,1239,1243,1240,1243,1239,1244,1244,1113,1117,1341,1342,1346,1243,
1347,1244,1345,1304,1304,1304,1304,1239,1304,1304,1240,1237,1238,1239,1240,
1304,1304,1304,1304,1239,1239,1240,1240,1240,1239,1243,1251,1117,1240,1240,
1240,1240,1239,1239,1239,1239,1250,1244,1113,1304,1304,1304,1304,1304,1304,
1290,1147,1289,1120,1120,1120,1120,1120,1120,1120,1120,1120,1120,1120,1120,
1146,1146,1146,1147,1145,1145,1148,1145,1148,1289,1146,1290,1145,1120,1120,
1120,1120,1293,1240,1240,1239,1239,1239,1239,1240,1240,1117,1113,1246,1243,
1243,1102,1244,1244,1103,1244,1243,1239,1243,1240,1244,1249,1244,1243,1243,
1244,1102,1103,933,1239,1244,1240,1243,1249,1103,1103,1103,1103,1102,1102,
1102,1102,933,1145,1146,1148,1147,1102,1102,1103,1103,1145,1147,1146,1148,974,
1147,1148,1145,1146,1146,1146,1145,1145,1148,1148,1147,1147,1148,1145,1146,
1147,1147,1148,1146,1145,974,1120,1120,1120,1111,1147,1146,1145,1148,1111,
1111,1111,987,987,1009,1008,1009,1008,1009,1008,809,810,1301,1302,1355,1356,
1292,1197,1291,1198,1259,1258,1078,1044,1081,1043,1291,1292,1217,1218,1293,
1290,1289,1262,1261,1097,1099,1098,1099,1221,1222,1197,1198,1224,1226,1225,
1223,1231,1099,1098,1097,1097,1097,1098,1098,1099,1099,856,857,858,859,860,
861,862,1098,1097,1099,1097,1099,1098,1092,1093,1083,1082,873,874,875,1162,
1163,878,879,880,881,882,1402,1401,1304,1304,1400,1374,1373,1372,1304,1371,
1304,1239,1239,1240,1240,1347,1244,1346,1243,1341,1239,1342,1240,1304,1304,
1304,1304,1304,1239,1239,1239,1304,1304,1240,1240,1240,1304,1304,1304,1304,
1304,1304,1304,1304,1304,1304,1239,1240,1238,1237,1304,1304,1304,1304,1304,
1304,1304,1239,1240,1243,1239,1239,1240,1244,1240,1239,1239,1239,1239,1240,
1240,1240,1240,1113,1117,1243,1244,1243,1244,1239,1240,1239,1239,1240,1243,
1244,1240,1244,1243,1244,1243,1133,1244,1243,1243,1244,1243,1244,1243,1244,
1146,1147,1145,1148,1131,1147,1145,1146,1148,1120,1120,1145,1147,1146,1148,
1146,1145,1148,1147,1111,1312,1311,1260,1153,1152,1008,1009,1010,1301,1302,
1303,1165,1164,1162,1163,1018,1019,1171,1408,1407,1381,1382,1355,1356,1309,
1310,1314,1314,1313,1313,1314,1230,1313,1227,1291,1291,1291,1292,1292,1292,
1218,1217,1290,1289,1291,1292,1218,1217,1289,1290,1289,1290,1293,1293,1292,
1291,1293,1289,1290,1293,1293,1290,1290,1289,1289,1293,1289,1290,1291,1292,
1293,1198,1197,1198,1224,1226,1197,1225,1223,1222,1221,1222,1221,1225,1226,
1224,1223,1219,1220,1221,1222,1231,1231,1231,1097,1098,1099,1301,1302,1393,
1392,1394,1374,1373,1304,1304,1304,1304,1304,1304,1304,1304,1304,1304,1304,
1304,1304,1304,1304,1304,1304,1304,1304,1304,1304,1304,1304,1304,1304,1304,
1304,1304,1304,1304,1239,1239,1240,1240,1243,1244,1244,1243,1243,1244,1244,
1243,1311,1312,1260,1152,1153,1260,1260,1258,1259,1261,1262,1160,1161,1162,
1163,1164,1165,1166,1167,1264,1263,1265,1171,1408,1407,1374,1373,1373,1374,
1355,1356,1346,1347,1289,1290,1293,1292,1291,1291,1292,1289,1290,1289,1290,
1291,1292,1289,1290,1292,1291,1289,1290,1290,1293,1289,1293,1288,1287,1293,
1290,1289,1292,1291,1293,1293,1293,1292,1291,1217,1218,1219,1220,1221,1222,
1223,1224,1225,1226,1227,1228,1229,1230,1231,1390,1391,1301,1302,1303,1373,
1374,1371,1372,1304,1304,1304,1304,1304,1304,1304,1304,1304,1304,1304,1356,
1355,1314,1313,1312,1311,1311,1312,1260,1311,1312,1263,1264,1265,1394,1394,
1393,1392,1393,1392,1385,1381,1382,1374,1374,1373,1373,1374,1373,1373,1374,
1374,1373,1346,1347,1347,1346,1289,1290,1291,1292,1293,1366,1367,1368,1389,
1388,1348,1349,1301,1302,1303,1304,1356,1355,1355,1356,1355,1356,1311,1312,
1313,1314,1390,1391,1391,1390,1376,1375,1365,1360,1364,1361,1394,1394,1393,
1392,1393,1392,1372,1371,1374,1373,1373,1374,1373,1374,1373,1374,1371,1372,
1374,1373,1345,1346,1347,1348,1349,1350,1351,1392,1393,1394,1355,1356,1357,
1391,1390,1360,1361,1362,1363,1364,1365,1366,1367,1368,1388,1389,1371,1372,
1373,1374,1391,1390,1394,1394,1392,1393,1392,1393,1393,1392,1394,1398,1397,
1388,1389,1390,1391,1392,1393,1394,1408,1407,1397,1398,1399,1400,1401,1402,
1408,1407,1405,1406,1407,1408,1409,1410,1411],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,2,3,1,1,1,1,1,1,1,1,1,1,1,1,1,2,
2,2,1,1,19,7,6,8,6,8,9,7,8,14,13,1,1,1,4,5,4,4,4,5,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,2,2,2,2,1,3,2,2,2,2,2,2,2,
2,2,2,3,2,2,2,2,3,2,2,2,2,2,2,2,2,2,2,2,2,3,2,3,2,3,2,3,3,2,3,2,2,2,3,2,2,2,2,
2,2,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,2,3,2,3,2,2,2,2,2,2,2,2,2,
2,1,2,17,17,17,17,81,5,4,19,25,25,1,84,83,84,83,91,91,91,84,83,91,88,87,85,89,
90,86,92,6,7,14,14,6,14,13,7,7,8,9,8,6,8,13,9,4,4,77,78,79,23,23,24,4,2,23,19,
1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,2,3,2,2,1,1,1,1,7,7,7,7,6,6,6,6,11,7,6,7,6,6,7,
7,6,6,6,7,6,7,10,6,6,10,10,7,7,10,10,7,7,6,10,10,7,6,11,11,15,15,15,6,7,7,6,
10,2,2,2,3,2,2,2,2,3,2,2,2,2,2,2,2,2,2,2,3,2,3,1,2,2,2,2,2,2,2,2,6,6,7,7,6,6,
7,7,7,6,10,7,7,7,7,7,6,6,6,6,6,10,10,10,7,6,2,2,2,2,2,2,2,2,2,2,2,2,3,7,10,6,
6,7,10,15,6,7,10,7,10,6,7,6,7,6,10,7,7,15,10,6,11,6,11,10,10,6,7,7,6,10,7,6,6,
7,6,6,6,7,7,7,7,7,7,6,6,6,10,10,10,10,2,2,2,2,2,2,2,2,2,3,2,17,17,17,17,17,17,
17,17,3,17,6,7,8,81,81,81,4,25,106,105,115,115,109,107,107,109,7,6,8,6,9,7,13,
8,8,14,6,7,14,137,136,84,84,91,91,84,83,84,91,91,83,83,83,91,91,84,85,87,88,
86,91,83,90,92,89,6,7,14,84,83,91,89,92,88,86,85,90,87,281,282,78,77,79,79,
282,281,79,23,27,26,35,34,588,589,590,591,104,25,1,1,7,7,6,6,6,7,7,10,11,6,10,
15,2,2,2,2,2,6,7,6,10,7,10,6,7,6,6,6,7,7,7,15,11,7,6,6,6,7,7,3,2,2,7,7,7,6,6,
6,7,6,10,10,7,7,6,6,6,10,6,10,7,7,6,10,11,10,10,6,7,10,7,6,10,10,7,15,2,2,2,2,
2,2,27,31,26,41,41,41,41,41,41,41,41,41,41,41,41,36,31,31,31,32,28,28,28,28,
26,36,27,32,41,41,41,41,2,10,7,10,6,6,10,10,7,11,15,10,6,6,6,7,7,7,7,6,7,6,6,
7,10,7,6,6,7,6,7,10,7,7,6,6,10,7,7,7,7,6,6,6,6,10,73,66,73,66,6,6,7,7,73,66,
66,73,64,31,28,32,31,31,36,28,28,27,28,31,26,27,32,36,26,66,73,66,73,64,7,10,
6,17,66,66,73,73,17,17,17,64,64,94,93,84,83,506,507,508,239,105,106,516,517,
516,516,517,517,515,514,521,518,520,519,115,115,109,107,387,386,385,83,84,84,
91,83,91,137,136,115,115,105,109,106,107,431,265,264,263,263,263,264,264,265,
265,269,270,272,276,273,275,274,83,84,91,27,37,26,535,536,137,136,79,282,281,
26,27,591,588,589,590,245,27,26,32,36,2,6,7,26,36,27,32,41,41,41,41,7,7,6,6,
113,113,114,114,6,7,10,32,27,41,41,32,36,26,41,41,36,41,41,41,41,41,41,27,32,
36,26,32,36,32,36,10,6,6,7,7,41,41,41,41,28,41,41,41,31,41,113,113,113,113,
114,114,114,114,116,118,28,31,28,31,7,6,41,41,41,28,31,41,66,73,66,73,64,26,
32,27,36,73,66,73,66,190,201,191,208,64,201,191,190,208,41,41,191,201,190,208,
190,191,208,201,131,105,106,115,109,107,507,506,291,811,812,1013,1014,1015,
585,584,586,587,588,594,595,596,598,115,115,109,107,106,107,105,109,598,599,
596,597,517,517,517,516,516,516,519,518,386,385,517,516,519,518,831,830,385,
386,387,387,115,115,387,385,386,829,829,830,830,831,831,829,831,830,115,115,
829,517,516,517,515,521,516,514,520,136,137,536,535,514,521,515,520,629,630,
535,536,846,431,846,263,264,265,105,106,6,7,115,115,115,118,114,113,116,131,
114,116,113,113,114,118,41,41,41,115,114,114,113,113,118,116,113,114,131,133,
131,133,131,118,116,113,113,114,114,208,201,190,191,191,190,201,208,1004,1003,
1005,1007,1006,517,516,514,515,523,522,812,811,585,584,1015,1014,1013,1167,
1168,1169,1170,1020,1021,1022,1022,1021,594,595,516,517,598,596,831,830,829,
826,825,310,311,831,830,385,386,517,516,831,830,516,517,831,830,830,829,831,
829,1024,1023,829,830,831,826,825,829,829,387,826,825,827,828,629,630,838,839,
845,842,844,843,1036,1035,1033,1034,846,594,595,811,812,1013,310,311,113,114,
311,310,295,294,677,677,294,295,302,677,677,595,594,598,596,1003,1004,1004,
1003,1005,1004,1003,1169,1168,1170,595,594,1102,1103,595,594,1104,596,598,
1022,1022,1021,1021,1022,1021,594,595,1022,1021,1024,1023,1023,1024,831,830,
825,826,829,887,594,595,1297,1298,1299,1300,1100,1101,1236,677,1022,1021,1025,
1026,1253,1252,1149,1150,1255,1254,594,595,1233,1232,1232,1233,1321,1322,1323,
1324,1022,1021,1268,1269,1022,1021,1268,1269,1177,1176,1176,1177,1021,1022,
889,888,1103,1102,1177,1176,1272,1180,1181,1299,1300,1298,1297,1103,1102,1104,
1253,1252,1357,1022,1021,1322,1324,1362,1363,1323,1321,1294,1232,1233,1298,
1297,1269,1268,1176,1177,1233,1232,1267,1266,1269,1268,1352,1353,1270,1271,
1354,1386,1387,1369,1370,1315,1316,1352,1353,1354,1395,1396,1387,1386,1399,
1400,1396,1395,1395,1396,1405,1406,1404,1403,1409,1410,1411],
[( 4, 5)( 6, 8)( 7, 9)(16,19)(18,21)(23,25)(26,27)(30,31),( 1, 2, 3, 4, 6)
( 5, 7,10,13,16)( 8,11,14,17,20)( 9,12,15,18,22)(19,23,26,28,30)
(21,24,27,29,25)],
[[[[]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[4,1,2,1],[4,1,2,-1,5,2,4,1,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[
4,1,2,1],[5,2,2,1,4,1,2,-1,5,-1,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[
4,1,2,1],[2,1,4,1],[4,1,2,-1],[7,1,5,1,6,-1,2,-1,6,-1,7,1,5,-1,6,1,2,-1,6,
-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,-1,5,-1,4,1,2,1,4,
1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,2],[5,1,2,1,4,1,5,1]]],[[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,2,1,5,1,6,-2,5,-1]],[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,-2,4,1,2,2,4,1]]],[[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,-1,5,-2,6,-1,5,-1,2,-1,5,-1,2,1,4,
1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,6,-1,5,-1,6,1,
2,1,4,1,6,1,5,1,2,1,5,1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,
1],[4,1,5,1],[5,1,4,1],[4,1,5,-1],[7,1,6,-2,5,-1,8,2,7,-2,6,-1]],[[2,1,1,1],[
3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[4,1,5,-1,4,1,5,-1,6,2]]],[[[
2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1,5,1,2,1,6,-1,5,
-1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,2,6,-2,
2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[6,
1,5,-2,2,-1,7,2,6,-2,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,
5,-1,2,1,4,1,2,-1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,
-1,4,1,2,-1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1]]],[[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[6,1,5,-2,2,-1,7,2,6,-2,5,-1]],[[
2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,4,1,2,-1,5,2]]],[[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,2,4,1,2,-1]],[[2,1,1,1],[1,1,
2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,1,4,1,2,-1,4,1,2,-1,5,1]]],[[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-2,5,1,6,-1,5,1,4,1,6,1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,1,5,1,2,-1,4,1,5,2,2,2]]],[[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1,4,1,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[2,1,5,1],[5,1,6,1,2,1,4,1,6,1,5,1]]],[[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[4,1,2,-1,4,1,2,2,4,1,2,-1]]],[[[2,1]]],[[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[2,1,4,1],[4,1,2,-1,5,-1,4,1,2,1,4,1,5,1]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[2,1,4,1,2,1,4,1,2,-1,4,1,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[4,1,2,1],[2,1,4,1],[2,1,5,2,6,-2,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[4,1,2,-1,5,2,4,1,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,
1,2,1],[2,1,4,1],[6,1,5,-2,2,-1,5,2,2,1,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[4,1,2,1],[2,1,4,1],[5,1,6,2,2,1,6,-1,5,1,6,1]]],[[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[4,1,2,-2],[6,1,5,1,6,1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[2,1,4,1],[4,1,2,1,5,2,2,-2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1,4,1,2,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,1,2,1,
4,1,2,-1,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1,2,1,4,1,2,-1,4,1,
2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,4,1,2,1,5,-1,2,
-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,-1,5,-1,4,1,2,1,4,
1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,2],[5,1,2,1,4,1,5,1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,-2,4,1,2,2,4,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,
2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[7,1,6,-2,5,-1,7,-1,5,-2,2,-1,6,
-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,4,1,6,1,2,1,
4,1,6,1,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,
2,-1,5,-2,6,1,2,2,4,1,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[
2,1,4,1],[4,1,2,-2,5,1,6,-1,5,1,4,1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[
4,1,2,1],[4,1,5,-1,2,1,4,1,2,-1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,
2,1],[2,1,4,1,5,1,2,1,5,1,4,1,2,-1,5,1,2,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[7,1,6,-1,5,-1,2,-1,5,2,6,1,7,-1]],[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,2,5,1,4,1,2,-1,5,2,2,1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,4,1,6,1,2,1,4,1,6,1,2,1,5,
2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,2,5,1,6,1,2,
-1,5,-2,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,5,1,2,1,
5,1,4,1,2,-1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-2,5,
-2,2,1,5,2,2,1,4,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,
1],[2,1,5,1],[6,1,7,1,5,1,4,1,2,-1,6,-1,7,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[4,1,2,1],[5,1,2,1,4,1,2,-1,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,
1,2,1],[2,1,4,1],[4,1,2,-2,6,-1,5,2,6,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[4,1,2,-2,5,-2,2,1,5,2,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[5,2,2,1,4,1,2,-1,5,-2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,
2,1],[2,1,4,1,5,1,2,1,5,1,4,1,2,-1,5,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,4,1],[2,2],[6,1,2,1,5,2,4,1,2,-1,7,-1,5,2,2,1,6,1,7,1]],[[2,
1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[7,1,6,-1,5,-2,
2,-1,7,1,6,-1,5,-2,2,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,
1],[4,1,2,-1],[7,1,5,1,2,1,5,1,6,1,2,-2,5,1,6,-1,2,-1,6,-1,7,1]]],[[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,2],[7,1,6,1,7,1,5,1,4,1,2,
-1,6,-1,4,1,5,-1,7,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,
1],[4,1,2,-1],[7,1,6,-2,5,-1,7,-1,5,-2,2,-1,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,-1,5,-2,2,-2,4,1,2,-1,5,1,2,1,5,1,6,
1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[6,1,
5,-2,2,-1,7,2,6,-2,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,5,
-1,2,1,4,1,2,-1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[
4,1,2,-1],[7,2,5,1,2,1,6,-1,5,-1,6,1,7,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,4,1],[6,1,2,1,6,1,5,-2,6,1,2,-1,6,-1]],[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,2,6,-2,2,-1]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[2,1,4,1],[2,1,5,1,2,-1,4,1,5,2,2,2]]],[[[2,1,1,1],[3,1,2,-1,1,1,
3,1,2,-1],[1,1,2,-1,1,1],[5,1,4,1],[4,1,5,-1],[6,1,5,1,6,1,5,-1,4,1,7,-1,6,1,
5,2,7,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,-1,4,
1,5,-1,4,1,5,-1,6,2,5,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[
4,1,5,1],[5,1,4,1],[6,2,5,1,7,1,5,1,7,1,6,-1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,
2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[4,1,5,-1],[7,1,6,-2,5,-1,8,2,7,-2,6,
-1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[4,1,5,-1,4,
1,5,-1,6,2]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[5,1,4,1],[6,2,
5,-2,4,1,5,2,6,-1,4,1,5,-1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,
1],[4,1,5,1],[5,1,4,1],[4,1,5,-1],[7,1,6,-2,5,-1,8,2,7,-2,5,-1]],[[2,1,1,1],[
3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[4,1,5,-1,4,1,5,-1,6,2]],[[2,
1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,2],[6,1,5,1,6,1,5,
1,4,1],[7,1,8,1,7,-1,8,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,
2,4,1,2,1,5,-2,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,2],[5,1,2,1,4,1,5,
1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,-1,5,-1,4,1,2,1,4,1,5,
1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[6,1,
5,-2,2,-1,7,2,6,-2,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,
-1,4,1,2,-1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,2,2,-2,4,1,
2,2,5,-1,4,1,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[
4,1,2,-1],[6,1,5,-2,2,-1,7,2,6,-2,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[
4,1,2,1],[4,1,2,-1,4,1,2,-1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[2,2],[5,1,2,1,5,1,2,1,4,1],[6,1,7,1,6,-1,7,-1]]],[[[2,1,1,1],[3,1,2,-1,1,
1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[4,1,5,-2,7,-1,6,2,7,1]],[[2,1,
1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,-1,4,1,5,1,4,1]],[[2,1,1,
1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[5,1,4,1],[6,1,5,-2,4,1,5,2,6,
-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-2,6,-1,
5,2,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,-1,4,1,2,1,4,1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,2,-2,4,1,2,2,5,-1]]],[[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,-1],[5,1,2,1,5,1,2,-1,4,1,6,-1,5,1,2,2,
6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,-1,4,1,2,-1,4,1,2,-1,5,
2,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,2,2,1,6,1,2,
1,6,1,5,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,
-1],[7,1,5,1,6,1,2,2,7,1,6,-1,5,-2,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[
2,1,4,1],[4,1,2,-1,5,-1,2,-1,4,1,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[6,1,5,-2,2,-1,7,2,6,-2,2,-1]]],[[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[7,1,6,-1,5,-1,2,-1,
5,2,6,1,7,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,2],[5,1,2,1,4,1,5,1]],[[
2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1],[2,1,4,1,5,2,2,1,6,2,5,
1,2,1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,6,3,
2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,1,5,-1,2,-1,5,
1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,2,-1],[6,1,5,-1,6,
1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,1,5,-1,2,-1,5,
1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,1,6,-1,5,
1,6,-1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1,2,2,4,1,2,2]]],[[[2,
1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,2,5,1,2,1,4,1,2,1,6,
-1,5,1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,
1],[6,1,7,1,5,1,4,1,2,-1,6,-1,7,-1]]],[[[1,1,2,1],[1,1,2,-1,3,-2,2,1,3,2],[4,
2]],[[1,1,2,1],[1,1,2,-1,3,-2,2,1,3,2],[4,2],[1,1,2,1],[2,1,1,1],[7,1,2,1,6,2,
7,2,6,-1],[8,1,5,1,8,-2,5,1,8,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,
2,1],[2,1,4,1],[4,1,2,-1],[7,1,6,-2,5,-1,7,-1,5,-2,2,-1,6,-1]],[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,-1],[5,1,2,-1,4,1,5,1],[7,1,6,-1,7,1,6,
-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[6,1,
5,-1,2,-2,7,2,6,-2,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,-1,4,1,2,
1,4,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1,5,
-1,2,-2,6,-1,5,1,6,-1,2,-1,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[2,1,4,1],[6,1,5,-2,2,-1,5,2,2,1,6,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,4,1],[6,1,5,-2,2,-1,5,2,2,1,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,
2,-1,3,1],[4,1,2,1],[2,1,5,1],[6,1,5,2,6,1,2,1,4,1]]],[[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-2,6,-1,5,2,6,1]],[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[4,1,2,1],[5,1,4,1,2,-1,4,1,2,-1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,-1,2,1,4,1,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[2,1,4,1,2,1,4,1,2,-1,4,1,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[4,1,2,1],[2,1,4,1],[2,1,5,2,6,-2,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[5,1,4,1,2,-1,4,1,2,-1,5,1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,
-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[5,1,7,-1,6,2,7,-1,5,-1]],[[2,1,1,1],[
3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[4,1,5,-1,4,1,5,-1,6,2]]],[[[
2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,6,3,2,1,5,2]],[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,2,5,-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],[2,1,4,1],[2,1,6,-1,5,2,6,
-1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,4,1,2,-1,5,
2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[7,1,
6,-2,5,-1,7,-1,5,-2,2,-1,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[
5,1,2,1,5,-1,4,1,2,1],[4,1,2,-1,6,-2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[
4,1,2,1],[2,1,4,1],[2,1,6,-1,5,-1,6,2,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[4,1,2,-1,5,2,4,1,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,
1,2,1],[2,1,4,1],[4,1,2,-1],[5,1,4,1,6,1,7,-1,2,1,5,1,6,1,7,-1]],[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,1],[2,1,4,1,6,1,5,2,6,1]]],[[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,2,5,-1,4,1,2,1,5,-1,2,-1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1,2,2,4,1,2,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,
2,-1,3,1],[2,1,4,1],[4,1,2,-1],[5,1,2,1,5,-1,4,1,2,1],[7,1,6,-1,7,1,6,-1]],[[
2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,4,1,6,1,2,1,4,1,6,1,
5,2,2,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,2,1,6,
-4,5,-1,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,-1],[2,2,4,1,2,-1,
5,3,2,-1,4,1,2,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,1,5,-1,4,
1,2,1,5,1,2,-2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,2,5,
-2]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1,5,
-1,6,-2,5,1,6,2]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,
1],[6,2,5,1,4,1,5,-1,6,-2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1,2,1,
4,1,2,-1,4,1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,2,4,1,2,-2,4,
1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[2,2,
6,-1,7,2,5,1,2,1,5,1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,-1,4,1,2,
1,4,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,6,2,2,1,
4,1,5,-1,2,-1,5,-1,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,
1],[2,1,5,2,6,1,2,1,6,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,
4,1,2,-1,5,-2,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,2,2,1,
4,1,2,-1,5,-2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,
2,-2,6,-1,5,2,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,
1,2,-2,6,-1,5,-2,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,
1],[2,2],[2,1,6,-1,5,1,6,1,7,1,4,1,2,-1,6,-1,5,-1,7,1]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[2,1,4,1],[4,1,2,-1],[4,1,2,1,5,-1,2,-1,5,-1],[7,1,6,1,7,1,6,
1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,2,1,6,-2,4,
1,2,-1,5,1,2,1,5,1,6,-1,2,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,
1,5,1],[4,1,2,-1,6,-1,5,-1,2,1,4,1,6,1,5,1,2,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,1,6,-1,5,-1,6,1,2,-1]],[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,2,6,-1,5,1,6,-1,2,-1]]],[[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,1,4,1,5,-2,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,2,6,1,2,1,6,-1,5,1,6,1]],[[2,1,1,1],[1,1,
2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,6,-1,5,2,2,1,5,1]]],[[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-2,4,1,2,-1,5,1,2,1,5,1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,4,1,2,-1,5,2]]],[[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-2,4,1,2,-1,5,2,2,1]],[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,4,1,2,1,5,-1,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[4,1,2,-2,5,1,2,1,5,1,4,1,2,-1]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,2,1,5,1,6,-2,5,-1]]],[[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,2,6,1,2,1,6,-1,5,1,6,1]],[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,2,4,1,2,-1]]],[[[2,1,1,1],[3,1,2,
-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[4,1,5,-1],[7,1,5,1,7,1,6,
-1,8,-1,7,1,5,1,7,-1,6,1,8,-1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,
1,1],[4,1,5,1],[5,1,4,1],[4,1,5,-1],[7,1,6,-2,5,-1,8,2,7,-2,5,-1]]],[[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1],[2,2,5,2,2,1,4,1,2,-1,5,-1,2,
1,6,-2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1],[2,1,4,1,5,
-2,2,2,6,2,5,1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,
1],[5,1,4,1],[4,1,5,-1],[8,1,6,1,7,-1,5,-1,7,-1,8,1,6,-1,7,1,5,-1,7,-1]],[[2,
1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[4,1,5,-1],[
5,1,7,1,6,1,7,-1,8,1,6,1,5,1,7,-2,8,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[
4,1,2,1],[2,1,4,1],[4,1,2,-1],[6,1,2,1,6,1,5,-1,7,-1,6,1,2,1,6,-1,5,1,7,
-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[6,1,5,
-2,2,-1,7,2,6,-2,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,
-2,4,1,2,-1,5,2,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[
2,1,6,-1,5,2,6,-1,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,
2,-1,5,-1,2,-1,5,-1,2,1,4,1,5,2,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,
2,1],[4,1,2,-1,4,1,2,-1,5,-1,2,2,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[
4,1,2,1],[2,1,4,1],[4,1,2,-1],[7,1,5,1,6,-1,2,-1,6,-1,7,1,5,-1,6,1,2,-1,6,
-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[2,1,6,
1,5,1,6,-1,7,1,5,1,2,1,6,-2,7,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[2,1,4,1],[5,2,6,2,2,2,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[
2,1,4,1],[6,1,2,2,5,2,6,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,
1,4,1],[5,2,6,2,2,2,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,2,5,
1,4,1,2,-1,5,2,2,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,
1],[2,1,5,2,6,2,5,2,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,
-1,5,-1,2,-1,5,-1,2,2,4,1,5,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[2,1,4,1],[2,1,6,-1,5,1,6,2,5,-2,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,5,1],[5,1,6,1,2,1,4,1,6,1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,
2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,5,-1,6,2,2,2,5,1]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,2,1,5,1,6,3]]],[[[1,1,2,1],[2,1,1,1],[4,
1,2,1,3,2,4,2,3,-1],[5,-2]],[[1,1,2,1],[1,1,2,-1,3,-2,2,1,3,2],[4,2],[1,1,2,
1],[2,1,1,1],[7,1,2,1,6,2,7,2,6,-1],[8,1,5,1,8,-2,5,1,8,-1]]],[[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-2,5,-2,2,1,5,2,4,1,2,-1]],[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,-1,4,1,2,-1,4,1,2,-1,5,2,2,1]]],[[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,1,4,1,2,-1,4,1,2,-1,5,1]],[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1,2,1,4,1,2,-1,4,1,2,-1]]],[[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,2,6,-2,2,-1]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,4,1,2,-1,5,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1,4,1,2,-2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,-2]]],[[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,2],[7,1,6,1,2,1,5,3,4,1,6,1,2,1,4,1,7,
-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,5,3,4,1,
6,1,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,
-1],[6,1,5,-2,2,-1,7,2,6,-2,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[2,1,4,1],[5,1,4,1,6,1,2,1,4,1,6,1,2,1,5,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,-1,5,-2,6,1,2,2,4,1,2,-1]],[[2,1,1,1],[1,1,
2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,2,2,5,-1,2,-1,4,1,2,-1]],[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,4,1,6,1,2,1,4,1,6,1,2,1,5,2]],[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,5,-1,2,-2,5,1,2,1,5,1,6,
-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[2,
2],[5,2,6,1,7,-1,8,-1,7,1,2,-1,5,1,6,-1,8,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,2],[6,1,5,2,2,1,4,1,2,-1,5,-2,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,
2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,2],[4,1,2,-1,6,1,5,-2,7,-1,5,1,2,1,5,1,6,-1,
7,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[7,1,
6,-2,5,-1,7,-1,5,-2,2,-1,6,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[2,1,4,1],[4,1,2,-1],[7,1,5,1,6,1,2,2,7,1,6,-1,5,-2,2,-1]],[[2,1,1,1],[1,1,
2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1],[6,1,5,2,2,1,4,1,2,-1,5,-2,6,-1]],[[2,
1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[6,1,5,-2,2,-1,
7,2,6,-2,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,2],[6,1,2,1,5,
2,2,1,4,1,2,-1,5,-2,6,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,
4,1],[2,2],[7,1,6,-1,5,-2,2,-1,5,2,2,1,6,1,7,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[2,1,4,1],[5,2,2,-2,4,1,2,2,5,-1,4,1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,
2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,2],[7,1,6,-1,2,-2,4,1,2,-1,7,-1,6,-1]],[[
2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[7,1,5,1,6,2,
2,1,6,-1,5,1,6,1,7,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,
1],[5,1,4,1,6,1,2,1,4,1,6,1,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,
4,1],[2,1,5,1,2,-1,4,1,5,2,2,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[2,1,4,1],[4,1,2,-2,5,1,6,-1,5,1,4,1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,4,1],[6,1,2,1,6,1,5,-2,6,1,2,-1,6,-1]]],[[[2,1,1,1],[3,1,2,
-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[5,2],[7,1,5,1,6,2,8,1,6,
1,7,1,8,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,
4,1],[5,1,6,1,7,-1,6,1,7,-1,5,-1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,
-1,1,1],[4,1,5,1],[5,1,4,1],[6,1,5,1,6,1,7,1,6,2,5,1,7,-1,4,1,5,-1]],[[2,1,1,
1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[4,1,5,-1],[8,1,
7,-1,6,1,7,-1,8,1,6,1,7,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,
1,4,1],[2,2],[6,1,2,1,5,2,7,1,5,1,6,1,7,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,4,1],[2,1,5,1,6,-1,5,1,6,-1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,
2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,2,1,5,1,6,1,5,2,2,1,6,-1,4,1,2,-1]],[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[7,1,6,-1,5,1,6,
-1,7,1,5,1,6,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,
1,2,-1],[7,1,6,-1,5,-1,2,-1,5,2,6,1,7,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[2,1,4,1],[2,2,4,1,2,1,5,-2,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,
4,1],[4,1,2,-1],[6,1,5,-2,2,-1,4,1,2,1,5,2,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,4,1,6,1,2,1,4,1,6,1,2,1,5,2]]],[[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1],[5,1,2,1,5,1,2,1,4,1],[6,1,7,-1,6,
1,7,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,-1,4,1,2,1,4,1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,4,1,6,1,2,1,4,1,6,1,2,1,5,
2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-2,5,1,6,-1,
5,1,4,1,6,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,
-2,5,1,6,-1,5,1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,-1,4,1,2,1]],[[2,
1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,5,1,2,1,5,1,4,1,2,-1,5,1,2,
1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,-1,4,1,2,1,4,1]]],[[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,1,6,1,2,1,4,1,5,-1,2,-2,6,
-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,2,-2,4,1,2,2,5,-1]],[[
2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1],[5,1,2,1,5,1,2,1,4,1],[
6,1,7,-1,6,1,7,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,
1,2,-1],[7,1,6,-1,7,1,5,2,6,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[2,1,4,1],[6,1,2,1,5,3,4,1,6,1,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,-1,4,1,2,-1,4,1,2,-1,5,2,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[4,1,2,1],[2,1,4,1],[2,2,5,1,6,1,2,-1,5,-2,6,-1]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,2,2,1,6,1,2,1,6,1,5,-1]]],[[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[7,1,6,-2,5,-1,7,-1,5,-2,
2,-1,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,4,1,6,
1,2,1,4,1,6,1,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,2],[6,
1,5,1,2,1,5,1,4,1,2,-1,4,1,2,-1,5,-1,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,2],[6,1,5,2,2,1,4,1,2,-1,5,-2,6,-1]]],[[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[7,1,6,-1,5,-1,2,-1,5,2,6,1,7,
-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,2],[5,1,2,1,4,1,5,1]],[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,4,1,6,1,2,1,4,1,6,1,2,1,5,
2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,6,1,5,-1,
6,1,5,-2,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,
2,-1],[7,1,6,-1,5,-1,2,-1,5,2,6,1,7,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[
2,2],[5,1,2,1,4,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,
1],[5,1,4,1,6,1,2,1,4,1,6,1,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,
2,1],[2,2,5,1,4,1,2,-1,5,2,2,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[2,1,4,1],[2,2,5,1,6,1,2,-1,5,-2,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[2,-1,4,1,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,
1,6,1,5,1,6,-1,5,2,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,
1],[5,2,2,1,6,1,2,1,6,1,5,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[2,1,4,1],[4,1,2,-1],[7,1,5,1,6,-2,7,1,5,2,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,
2,-1,3,1],[2,-1,4,1,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,
1],[5,2,2,1,6,1,2,1,6,1,5,-1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,
1,1],[4,1,5,1],[5,1,4,1],[4,1,5,-1],[8,1,6,1,7,-2,8,1,6,2,5,1]],[[2,1,1,1],[3,
1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[5,-1,4,1,5,1]],[[2,1,1,1],[3,1,2,-1,1,1,
3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[6,2,5,1,7,1,5,1,7,1,6,-1]]],[[[
2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[7,2,2,-1,5,1,
6,1,7,-1,2,1,6,1,5,-1,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,
1,4,1],[2,1,5,1],[6,1,7,1,5,1,4,1,2,-1,6,-1,7,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[2,1,4,1],[5,2,2,1,6,-1,4,1,2,-1,5,1,2,1,5,1,6,1]]],[[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[7,1,6,-2,5,-1,7,
-1,5,-2,2,-1,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,
2,5,1,6,1,2,1,4,1,2,1,5,2,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[2,1,4,1],[5,1,4,1,6,1,2,1,4,1,6,1,2,1,5,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[2,1,4,1],[4,1,2,-1],[2,2],[7,1,2,1,5,2,6,-1,2,1,4,1,2,1,5,1,6,-1,7,
1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[7,1,5,
-2,2,-1,6,-2,5,-2,7,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,
1],[4,1,2,-1],[7,1,6,-1,4,1,5,-1,2,2,5,1,2,1,6,-2,7,1]]],[[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[7,1,6,-2,5,-1,7,-1,5,-2,2,-1,6,
-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,2],[7,1,5,1,6,
1,7,1,5,2,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,
4,1,6,1,2,1,4,1,6,1,2,1,5,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[
2,1,4,1],[4,1,2,-1,6,-1,5,-1,2,-1,5,-2,2,-2,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[2,1,4,1],[2,2,5,1,6,-2,2,-1,5,-2]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,4,1,6,1,2,1,4,1,6,1,2,1,5,2]]],[[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1],[5,1,2,1,5,1,2,1,4,1],[6,1,7,
-1,6,1,7,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,-1],[4,1,2,
1,5,-2],[7,1,6,1,7,1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,
4,1],[4,1,2,-1],[7,1,6,-1,7,1,5,2,6,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[
4,1,2,1],[4,1,2,-1],[6,1,5,2,2,1,4,1,2,-1,5,-2,6,-1]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,-2,4,1,2,1],[5,1,4,1,2,-1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,
2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,5,3,4,1,6,1,2,1,4,1]]],[[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,-1],[4,1,2,1,5,-1,2,-1,5,-1],[7,1,6,1,7,
1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,-1,2,-2,5,1,2,1,5,
1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,4,1,6,1,2,1,4,
1,6,1,2,1,5,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,
2,-1,5,-1,2,-2,6,-1,5,1,6,-1,2,-1,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[
2,1,4,1],[5,1,2,-1,4,1,5,1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[2,1,4,1],[6,1,2,1,5,3,4,1,6,1,2,1,4,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[2,1,4,1],[4,1,2,-1],[5,1,2,-1,4,1,2,-2,6,2,5,-2,2,-1]],[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,2,-2,4,1,2,2,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,
2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,4,1,6,1,2,1,4,1,6,1,2,1,5,2]]],[[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,5,3,6,2]],[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[4,1,2,-2,4,1,2,2,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[4,1,2,1],[2,1,4,1],[5,1,2,1,5,1,6,-1,5,2,6,1]]],[[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,-1,5,-2,2,1,4,1,5,-1,2,-2,6,-1]],[[2,
1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,2],[6,1,7,1,6,-1,7,
-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,4,1,6,1,2,1,
4,1,6,1,2,1,5,2]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,
1],[5,1,4,1],[4,1,5,-1],[7,1,5,-1,6,-2,8,1,7,-1,6,-1,8,-2]],[[2,1,1,1],[3,1,2,
-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[5,2],[8,1,6,1,7,1,8,1,6,
2,7,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[
6,1,2,-1,5,-2,7,1,6,-1,5,-1,7,-2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[2,1,4,1],[2,2],[7,1,5,1,6,1,7,1,5,2,6,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,2,5,1,2,1,5,1,6,-1]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[2,1,5,1],[6,1,5,2,6,1,2,1,4,1]]],[[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,5,4,6,1]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,2,-1,5,1,4,1,2,-2,5,1]]],[[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,-1],[5,1,2,-1,4,1,2,-2,6,2,5,-2,2,-1]],[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,1],[6,1,5,2,6,1,2,1,4,1]]],[[[2,
1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,-1],[5,1,2,-1,4,1,2,-2,6,2,5,
-2,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1,6,
-2,5,-3,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,
5,2],[6,1,7,1,6,-1,7,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,
1,5,2,2,1,4,1,5,1,2,2]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[
4,1,5,1],[5,1,4,1],[5,1,6,2],[7,1,8,1,7,-1,8,-1]],[[2,1,1,1],[3,1,2,-1,1,1,3,
1,2,-1],[1,1,2,-1,1,1],[5,1,4,1],[4,1,5,1,6,2,5,1,4,1,6,1,5,2]]],[[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[7,1,5,-1,6,1,7,-1,5,1,
6,-2,7,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[
7,2,5,1,6,1,7,-1,6,2,5,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,
1,4,1],[4,1,2,-1],[7,2,5,1,6,2,5,-2,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,4,1],[5,2,6,2,2,1,5,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[7,1,5,-1,6,1,7,-2,6,2,5,-1]],[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,-1],[4,1,2,1,5,-2],[7,1,6,1,7,1,6,
1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[7,1,
5,-1,6,1,7,-2,6,2,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,
-1,5,-1,2,-1,4,1,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,
4,1],[2,1,5,3,6,2,2,1,4,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,
1,2,-1],[2,1,5,1],[6,1,5,-1,7,-1,4,1,2,1,7,-1,5,-1,6,1]],[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,4,1,6,1,2,1,4,1,6,1,2,1,5,2]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,5,-2,2,-1,4,1,2,-1,6,-1,5,
-1,2,-2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,2],[6,1,
2,1,6,1,5,-1,7,-1,4,1,2,-1,5,-2,2,-1,7,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[2,2],[4,1,2,1,4,1,2,1,4,1],[6,1,5,1,4,1,2,-1,6,-1,5,1]],[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,2],[7,1,6,1,5,-1,2,-1,5,-1,7,-1,6,-1,
5,1,6,1,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,
2],[2,1,6,-1,5,1,6,1,7,1,4,1,2,-1,6,-1,5,-1,7,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[5,-1,2,-2,5,1,2,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[2,1,4,1],[4,1,2,-1],[4,1,2,1,5,-1,2,-1,5,-1],[7,1,6,1,7,1,6,1]]],[[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[7,1,6,-1,5,-2,2,-1,
7,1,5,1,6,1,2,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,
4,1,6,1,2,1,4,1,6,1,2,2,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,
1,4,1],[4,1,2,-1],[7,1,5,1,4,1,6,1,7,-1,6,2,2,-1,5,-1]]],[[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,2,6,1,2,1,6,2]],[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,5,1,2,1,5,1,4,1,2,-1,5,1,2,1]]],[[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,2,6,1,2,1,6,2]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[2,2],[5,1,2,1,4,1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,2,1,5,1,6,-1,5,1,4,1,6,1,2,1,4,1]],[[2,
1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,-1],[4,1,2,1,5,-2],[7,1,6,1,7,
1,6,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1],[6,1,4,1,2,
-1,5,-2,2,-1,5,-1,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,
1],[2,1,5,2,6,-2,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,-1,4,1,2,
-1,4,1,2,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,-1,2,1,
5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,2,4,1,2,-2,4,1]],[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[2,1,4,1,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,
1,2,1],[2,1,4,1],[4,1,2,-1],[7,2,5,1,6,1,7,-1,2,1,6,1,5,-1,6,-1]],[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,4,1,6,2,5,-1,2,-1,5,-1]]],[[[
2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,1,4,1,2,1,4,1,2,-1,5,-1]],[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[7,1,6,-1,5,-2,2,-1,7,1,5,1,6,1,2,2]],[[2,
1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,2,6,1,2,1,4,1,6,1,2,
1,6,-1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1],[6,1,5,
1,2,1,6,1,5,1,2,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,2,4,1,
2,1,5,-2,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,1],[2,1,
4,1,6,1,5,2,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,1,
4,1,5,-1,2,1,4,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[
5,1,2,1,6,-1,5,1,6,-1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,
1,2,-1,4,1,2,-1,5,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,
1],[6,1,2,1,5,3,6,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,2,5,1,4,
1,2,-1,5,2,2,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,
1,6,2,2,1,5,2,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,
1,2,1,5,1,6,-2,5,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,
1],[5,2,6,2,2,1,6,1,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,-1,
4,1,2,-1,4,1,2,-1,5,2,2,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,
1,5,-1,2,1,4,1,2,-1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,-2,
5,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,5,4,6,
1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,5,-1,2,-1,5,1,
2,1,6,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,1],[6,1,5,2,
6,1,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,2,-1,4,1,5,1,
2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,4,1,6,1,
2,1,4,1,6,1,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[
2,1,6,2,2,1,5,2,6,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,
1],[4,1,2,-1],[7,1,5,-1,6,1,7,-2,6,2,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,4,1],[4,1,2,-1,6,-1,4,1,5,-2,2,-2,6,-1]]],[[[2,1,1,1],[1,1,
2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,5,3,6,2]],[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[2,1,4,1],[2,1,5,1,2,-1,4,1,5,2,2,2]]],[[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[2,1,4,1],[4,1,2,-1],[2,1,5,1],[6,1,5,-1,7,-1,4,1,2,1,7,-1,5,-1,
6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,-1],[5,1,2,-1,4,1,5,
1],[7,1,6,-1,7,1,6,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,
1,5,1,2,1,5,1,4,1,2,-1,5,1,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[2,1,5,2,2,1,4,1,2,-1,5,-2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[4,1,2,-2,5,-2,2,1,5,2,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[2,1,4,1],[5,1,6,3,2,1,5,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[2,1,4,1],[5,1,4,1,6,1,2,1,4,1,6,1,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[4,1,2,1],[2,1,4,1],[6,1,5,-1,2,-1,5,-1,6,1,2,-1,5,-1]]],[[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[7,1,5,1,4,1,6,1,2,2,5,1,
6,-1,7,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,6,3,2,
1,5,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[
7,1,6,-1,5,-1,7,-1,6,1,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[2,1,4,1],[5,2,2,1,6,-1,4,1,2,-1,6,-2,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[5,1,4,1,6,1,7,-1,2,1,5,1,6,1,7,-1]],[[
2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1,5,2,6,1,5,-2,2,
-1,6,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,-1,5,-1,2,-1,
4,1,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,2,2,-2,4,1,5,
2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,1,4,1,5,-1,2,1,
4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,2,-1,5,-4]]],[[[2,
1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[7,1,5,1,2,1,6,
-2,7,2,2,-1,5,1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,
-1],[4,1,2,1,5,-2],[7,1,6,1,7,1,6,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,
1,2,1],[2,1,4,1],[6,1,2,1,6,1,5,-2,6,1,2,-1,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[4,1,2,-1],[6,1,5,1,2,1,6,1,5,1,2,1,5,1]]],[[[2,1,1,1],[1,1,
2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1],[6,1,5,1,2,1,6,1,5,1,2,1,5,1]],[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,1,5,1,2,-1,4,1,5,2,2,2]]],[[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,2,2,1,6,1,2,1,6,1,5,-1]],[[
2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,-1,4,1,2,1,4,1]],[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[4,1,2,1],[2,-1,4,1,2,-1,4,1,2,-1,5,2,2,1]]],[[[2,1,1,1],[1,1,
2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1],[5,1,2,1,5,1,2,1,4,1],[6,1,7,-1,6,1,7,
-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,-1],[4,1,2,1,5,-2],[
7,1,6,1,7,1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,
6,2,2,1,6,-1,5,1,6,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,
1],[5,1,4,1,6,1,2,1,4,1,6,1,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,
2,1],[2,1,4,1],[2,1,5,2,6,-2,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,
1],[2,1,5,1,2,-1,4,1,5,2,2,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[2,1,4,1],[2,1,6,-1,5,2,6,-1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,
1,2,1],[4,1,2,-1,4,1,2,-1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[
5,1,2,1,4,1,2,-1,5,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,
1],[4,1,2,-1],[6,1,5,-2,2,-1,7,2,6,-2,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,4,1],[2,1,5,1],[7,1,6,2,7,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,
2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[5,2,6,1,7,-1,6,2,7,-1]]],[[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[6,1,5,-2,2,-1,7,2,
6,-2,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,2,1,5,1,2,-1,4,
1],[6,1,2,1,4,1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,5,-1,
2,1,4,1,2,-1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[
4,1,2,-1],[7,1,6,-2,5,-1,7,-1,5,-2,2,-1,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[4,1,2,1],[2,1,4,1],[6,1,5,-2,2,-1,5,2,2,1,6,-1]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,5,2,2,2,4,1,2,1,6,1,5,-1,6,-1]]],[[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[7,1,6,-1,2,-1,5,
-2,7,1,5,2,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,1],[5,1,
6,1,2,1,4,1,6,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,
-1],[2,1,5,1,2,-1,4,1,5,1],[6,1,7,-1,6,1,7,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[6,1,5,-2,2,-1,7,2,6,-2,5,-1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,-1],[5,1,2,1,5,1,2,-1,4,1,6,-1,5,
1,2,2,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,1,4,1,5,
-1,2,1,4,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,
-1],[6,1,5,-2,2,-1,7,2,6,-2,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[2,1,4,1],[5,1,2,1,6,-1,5,1,6,-1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[4,1,2,-1],[6,1,5,2,2,2,4,1,2,2,6,1,5,1]]],[[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,2,6,-2,2,-1]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[5,1,4,1,2,-1,4,1,2,-1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,
2,-1,3,1],[2,1,4,1],[5,1,2,-2,4,1,2,2,5,-1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,
-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[5,1,7,-1,6,2,7,-1,5,-1]],[[2,1,1,1],[
3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[4,1,5,-1,4,1,5,-1,6,2]],[[2,
1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[6,1,5,1,4,1,5,-1,6,
-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[7,1,
6,-2,5,-1,7,-1,5,-2,2,-1,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[
4,1,2,-1],[5,1,2,-1,4,1,5,1],[7,1,6,-1,7,1,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,6,1,5,-1,6,1,5,-2,2,-1]]],[[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,2,5,1,2,1,4,1,2,1,6,-1,5,1,6,
1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,2,1,5,1,6,-1,
5,2,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,1],[6,
1,7,1,5,1,4,1,2,-1,6,-1,7,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[2,1,4,1],[4,1,2,-1],[2,1,6,-1,5,-1,6,1,7,-1,2,1,5,1,6,1,7,-1,2,2]],[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[7,1,5,-2,2,-1,6,
-2,5,-2,7,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,2],[
7,1,5,2,2,1,6,1,7,-1,5,1,4,1,6,1,2,1,4,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[4,1,2,-1],[2,1,4,1,5,1,2,1,5,1],[6,1,7,-1,6,1,7,-1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,5,3,6,2]],[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,4,1,6,1,2,1,4,1,6,1,2,2,5,
1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-2,5,-2,2,1,5,2,2,1,
4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,-1,4,1,2,1]],[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,5,1,2,1,5,1,4,1,2,-1,5,1,2,1]]],[[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[7,2,2,-1,5,1,7,1,5,
1,6,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,4,1,2,-1,5,
2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,2,2,-2,4,1,2,2,5,-1,4,1,2,
-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-2,5,-2,2,1,5,2,2,
1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,2,5,-1,4,1,2,1,5,-1,2,
-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,5,1,2,1,5,1,4,1,2,
-1,5,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,1,6,
-1,5,1,6,-1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1,2,2,4,1,2,
2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,2,6,-2,2,
-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,2,-1],[6,1,5,-1,
6,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1,2,-1]],[[2,1,1,1],[1,1,
2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,1,4,1,5,-1,2,1,4,1,2,-1]]],[[[2,1,1,1],[3,1,2,
-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[6,2,5,1,7,1,5,1,7,1,6,
-1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,-1,4,1,5,1,4,
1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,-1,4,1,5,
-1,4,1,5,-1,6,2,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,2,
-1,4,1,5,1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,-1,4,1,2,1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,-1,4,1,2,1,4,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,
2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[6,1,5,-1,2,-2,7,2,6,-2,5,-1]],[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,-1,4,1,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[4,1,5,-1,2,1,4,1,2,-1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[4,1,2,-2,5,-2,2,1,5,2,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[2,1,4,1],[4,1,2,-1,5,-1,4,1,2,1,4,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[2,1,4,1],[2,1,5,1,2,-1,4,1,5,2,2,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[6,1,5,-2,2,-1,7,2,6,-2,5,-1]],[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1],[6,2,2,-1,5,1,6,1,5,1,2,1,5,1]],[[
2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,-1,5,-1,4,1,2,1,4,1,5,
1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[7,1,
5,-1,2,-1,5,-1,6,-1,7,1,2,-1,5,1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,
1,2,1],[2,1,5,1],[2,1,4,1,6,1,5,2,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,
1,2,1],[2,1,4,1],[4,1,2,-1],[7,1,6,-1,5,-1,2,-1,7,1,6,-1,4,1,5,-1]]],[[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,1],[6,1,7,1,5,1,4,1,2,
-1,6,-1,7,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,2,-2,4,1,2,2,
5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-2,6,-1,
5,2,6,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,4,1,6,
1,2,1,4,1,6,1,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,2,
-1,4,1,5,1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,
2,-1],[7,1,6,-1,7,1,5,2,6,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[
2,1,4,1],[5,1,6,3,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,
2,2,5,-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],[
2,1,4,1],[5,1,2,1,6,-1,5,2,2,1,6,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,
1,2,1],[2,1,4,1,5,1,2,1,5,1,4,1,2,-1,5,1,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,5,4,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[4,1,5,-1,2,1,4,1,2,-1,5,1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,
-1],[1,1,2,-1,1,1],[4,1,5,1],[4,1,5,-2,6,-2,5,1,6,2,5,1,4,1]],[[2,1,1,1],[3,1,
2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[5,1,4,1],[4,1,5,-1,6,-1,4,1,5,1,4,1,6,
1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[5,1,4,1],[5,1,6,1,5,-1,
4,1,6,2,5,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,
-1],[6,1,5,-2,2,-1,7,2,6,-2,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[2,1,4,1,2,1,5,4,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,
-1],[6,1,5,-2,2,-1,6,1,4,1,2,-1,4,1,5,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[7,1,6,-2,5,-1,7,-1,5,-2,2,-1,6,-1]],[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,5,2,2,1,4,1,6,1,2,2,
5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,4,1,6,1,2,1,
4,1,6,1,2,1,5,2]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,
1],[5,1,4,1],[5,1,7,2,5,1,4,1,6,-1,5,-1,6,-1,7,-1]],[[2,1,1,1],[3,1,2,-1,1,1,
3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[5,1,6,2,7,1,5,1,7,2]],[[2,1,1,
1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,-1,4,1,5,-1,4,1,5,-1,6,
2,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-2,5,-2,2,1,5,2,
2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,4,1,2,-1,5,
2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,1,5,1,2,-1,4,1,5,2,2,
2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,6,2,2,1,4,1,
5,-1,2,-1,5,-1,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[
2,1,5,2,6,1,2,1,6,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,-1,4,1,
2,-1,4,1,2,-1,5,2,2,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,
1],[5,2,2,1,6,-1,4,1,2,-1,5,1,2,1,5,1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,4,1],[2,1,6,-1,5,2,6,-1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,1],[6,1,7,1,5,1,4,1,2,-1,6,-1,7,-1]]],[[[2,
1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-2,6,-1,5,2,6,1]],[[
2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1,2,1,4,1,2,-1,4,1,2,-1]],[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,2,-2,4,1,2,2,5,-1]]],[[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,2,2,-1,5,-1,2,-2,5,2,6,1,2,1,4,1]],[[
2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,6,-1],[7,1,5,-1,6,1,
2,2,6,1,7,1,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,
1,6,1,5,-1,2,2,4,1,2,-1,6,-1,2,-1,5,-2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[7,1,5,-1,6,1,7,-2,6,2,5,-1]],[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1,6,-2,5,-3,2,-1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,4,1,6,1,2,1,4,1,6,1,2,1,5,
2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,-1],[5,1,2,1,5,1,2,
-1,4,1,6,-1,5,1,2,2,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,
-1],[5,1,2,-1,4,1,5,1],[7,1,6,-1,7,1,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,4,1],[2,2],[6,1,5,-2,7,-1,6,-1,5,-1,7,-1]]],[[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,5,-1,2,1,4,1,2,-1,5,1]],[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[2,2],[5,1,2,1,4,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[
4,1,2,1],[4,1,2,-1,4,1,2,-1,5,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[2,1,4,1],[5,1,2,1,6,-4,5,-1,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[
4,1,2,-1],[2,2,4,1,2,-1,5,3,2,-1,4,1,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,4,1],[6,1,2,1,6,1,5,-1,6,1,5,-2,2,-1]]],[[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,6,-1,5,1,6,2,2,2,5,1,2,1,4,1]],[[2,
1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,2,2,5,-1,2,-1,4,1,2,-1]],[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[7,1,6,-1,7,1,5,2,
6,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,6,2,2,1,4,
1,5,-1,2,-1,5,-1,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,
1],[2,1,5,2,6,1,2,1,6,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,
1],[6,1,2,1,5,3,4,1,6,1,2,1,4,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[2,1,4,1],[4,1,2,-1],[7,1,6,-2,5,-1,7,-1,5,-2,2,-1,6,-1]],[[2,1,1,1],[1,1,
2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,-1],[5,1,2,-1,4,1,5,1],[7,1,6,-1,7,1,6,
-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,2],[6,1,5,-2,7,
-1,6,-1,5,-1,7,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[
4,1,2,-2,6,-1,5,2,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,
1],[5,2,6,1,2,1,6,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,
1],[6,1,5,2,6,1,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,2,4,
1,2,-1,5,1,2,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,
1,2,-1],[5,1,6,-1,2,-1,6,-1,7,2,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,
2,1],[2,1,4,1],[2,1,6,1,5,-1,6,2,2,-1,5,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,6,1,5,-2,6,1,2,-1,6,-1]],[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,1,2,1,5,3]]],[[[2,1,1,1],[1,1,2,1,3,-1,
2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[7,1,6,-2,5,-1,7,-1,5,-2,2,-1,6,
-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,6,-1,2,-1,5,
1,2,1,6,-2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,
2,6,-2,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,-1],[5,1,4,1,2,-1,5,1,
4,1,2,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,
-1],[2,2,6,-1,7,2,5,1,2,1,5,1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[2,1,4,1],[2,2,5,1,6,-1,4,1,2,-1,5,-1,2,-1,5,-1,6,-1]]],[[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,2,6,1,2,1,6,-1,5,1,6,1]],[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,6,-1,5,2,2,1,5,1]],[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,1,4,1,2,-1,4,1,2,-1,5,1]]],[[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,2,2,1,4,1,2,-1,5,-1,2,-1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,1,4,1,2,-1,4,1,2,-1,5,1]]],[[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,1,2,1,5,1,4,1,2,-1,5,2,2,1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1,2,1,4,1,2,-1,4,1,2,-1]],[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,-1,5,-1,4,1,2,1,4,1,5,1]]],[[[2,1,1,1],[1,1,
2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,2,6,-2,2,-1]],[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[4,1,2,1],[5,2,2,1,4,1,5,-1,2,-1,5,-1]]],[[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-2,5,1,2,1,5,1,4,1,2,-1]],[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[4,1,2,1],[5,2,2,1,4,1,2,-1,5,-1,2,-1]]],[[[1,1,2,1],[1,1,2,
-1,3,-2,2,1,3,2],[4,2],[1,1,2,1],[2,1,1,1],[7,1,2,1,6,2,7,2,6,-1],[5,1,8,1],[
8,1,9,4,8,1]],[[1,1,2,1],[1,1,2,-1,3,-2,2,1,3,2],[4,2],[1,1,2,1],[2,1,1,1],[7,
1,2,1,6,2,7,2,6,-1],[5,1,8,1],[9,1,8,1,9,1,8,1,5,1,8,-1,9,1]]],[[[1,1,2,1],[1,
1,2,-1,3,-2,2,1,3,2],[4,2],[1,1,2,1],[2,1,1,1],[7,1,2,1,6,2,7,2,6,-1],[5,1,8,
1],[8,1,5,1],[10,1,9,-1,10,1,8,-2,9,1,10,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[2,1,4,1],[2,2,4,1,2,1,5,-2,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,
1,4,1],[5,1,2,-2,4,1,2,2,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,2],[5,1,
2,1,4,1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,2,
1,5,1,6,-2,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,-1,4,1,2,1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,2,5,-1,4,1,2,1,5,-1,2,-1]]],[[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,1,4,1,2,1,4,1,2,-1,5,-1]],[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,1,4,1,2,-1,4,1,2,-1,5,1]]],[[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,5,-2,2,2,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[4,1,2,-1,5,2,4,1,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,4,1],[4,1,2,-1,5,-1,6,2,5,-1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,
2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,1,6,2,2,1,6,-1,5,1]]],[[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,5,-1,2,-1,5,-1,2,-1,5,-2]],[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,1,5,1,2,-1,4,1],[6,2,5,1]]],[[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,1,6,-1,5,1,6,-1,2,-1]],[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,-1,5,-3,2,-1,4,1]],[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[4,1,2,-2,4,1,2,2,4,1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,
2,-1],[1,1,2,-1,1,1],[4,1,5,1],[4,1,5,-1,6,1,5,1,6,1,5,1,4,1,5,-1,6,-2]],[[2,
1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[5,1,7,-1,6,
2,7,-1,5,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,1,2,
1,5,1,2,1,4,1,2,-1,5,-2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,
1],[2,1,6,-1,5,2,6,-1,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[
2,1,5,1,4,1,2,-1,4,1,2,-2,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[
2,1,5,1,2,-1,4,1],[6,2,5,1]]],[[[1,1,2,1],[2,1,1,1,2,1,3,2,1,1,2,-1,3,1,2,1],[
4,2]],[[1,1,2,1],[2,1,1,1,2,1,3,2,1,1,2,-1,3,1,2,1],[4,2],[1,1,2,1],[2,1,1,
1],[7,1,6,-2,2,-1,7,-1,6,-2],[5,1,8,1],[8,1,5,1],[9,2,10,-3,9,-1]]],[[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,1,6,2,2,1,6,-1,5,1]],[[
2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,2,5,-1],[5,1,6,-1,5,1,6,
-1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1,6,
-1,5,-1,6,-1,5,-1,6,-2]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[5,
1,4,1],[5,1,6,-1,4,1,5,1],[6,1,7,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,
1,2,1],[2,1,4,1],[6,1,5,-2,2,-1,5,2,2,1,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[4,1,2,1],[2,1,5,1],[5,1,6,1,2,1,4,1,6,1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,5,-1,2,-1,5,-1,2,-1,5,-2]],[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[2,1,4,1],[2,1,5,-1,4,1,2,1],[5,1,6,2]]],[[[2,1,1,1],[3,1,2,
-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[7,1,6,-2,5,-1,6,2,5,1,7,
-1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,6,1],[6,
1,7,1,5,1,4,1,7,1,6,1]]],[[[1,1,2,1],[1,1,2,-1,3,-2,2,1,3,2],[4,2]],[[1,1,2,
1],[1,1,2,-1,3,-2,2,1,3,2],[4,2],[1,1,2,1],[2,1,1,1],[7,1,2,1,6,2,7,2,6,-1],[
5,1,8,1],[8,1,5,1],[9,2,10,-3,9,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,
1,2,1],[2,1,4,1,2,-1],[6,1,5,1,6,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[
4,1,2,1],[5,2,2,1,4,1,2,-1,5,-2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[2,1,4,1,5,-3,2,2,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,-1,4,1,2,
1,4,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,2,2,1,6,
-2,5,-2,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,2,2,1,
4,1,2,-2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,
-1],[7,2,5,1,6,-1,5,-1,6,1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[4,1,2,-1,4,1,2,-1,5,-1,2,2,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,
1,4,1],[2,2,5,-1,4,1,2,1,5,-1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,
2,1],[4,1,2,-2],[6,1,5,1,6,1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,
2,1],[2,1,5,1,4,1,2,-1,4,1,2,-2,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,
2,1],[4,1,2,-2,5,3,2,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1,2,2,4,
1,2,-2,4,1,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,1,2,1,4,1,2,
-1,5,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,2,6,
-2,5,-2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,2,5,1,2,1,5,2]]],[[[
2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,2,2,1,4,1,2,-2,5,1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[2,2],[5,1,2,1,4,1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,1,2,1,5,1,2,1,4,1,2,-1,5,-2]],[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,1,5,-1,2,-1],[5,1,6,2,5,-1]]],[[[2,1,
1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[5,1,4,1,5,2,4,1,5,-2,4,1,5,1]],[[
2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[6,1,5,1,4,1,5,-1,6,
-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,2,-1,5,-1,2,2,5,
1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,-2,4,1,2,2,4,1]]],[[[2,1,1,1],[
3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[5,1,6,2,7,-2,6,
-2]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,2,6,1,5,1,
6,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,1,2,1,5,1,2,
1,4,1,2,-1,5,-2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,1,2,1,4,1,2,
-1,5,-2,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,
6,-1,5,2,6,-1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1,2,2,4,1,2,-2,
4,1,2,1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,
4,1],[5,1,7,-1,6,2,7,-1,5,-1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,
1],[5,1,4,1,5,2,4,1,5,-2,4,1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,
2,1],[4,1,2,-1,5,-1,2,-1,5,-1,2,2,5,1,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[4,1,2,1],[2,1,4,1],[2,2,5,1,6,1,2,1,6,-1,5,-1,6,1]],[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,2,1,5,1,6,-2,5,-1]]],[[[2,1,1,1],[1,1,
2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[6,1,5,1,2,1,5,1,7,1,6,-1,5,
-1,7,-2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,2,1,6,
-1,5,2,2,1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,
2,1,5,3,4,1,6,1,2,1,4,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,
4,1],[6,1,2,2,5,1,6,2,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,
1,2,-1,4,1,2,-1,5,-1,2,2,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[4,1,2,-1,5,-1,2,-1,5,-1,2,1,4,1,5,2,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[4,1,2,-1,5,2,2,1,5,1,2,1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[4,1,2,1],[2,1,4,1],[2,1,5,2,6,-2,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,4,1,2,-1],[6,1,5,-1,6,1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,6,2,2,1,5,2,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,5,-1,2,-1,5,-1,6,2]]],[[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,6,1,5,-2,6,1,2,-1,6,-1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,1],[6,1,5,2,6,1,2,1,4,1]]],[[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,2,2,1,4,1,5,-2,2,-1]],[[2,
1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,4,1,2,-1,5,2]]],[[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,2,5,-1,4,1,2,1,5,-1,2,-1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,-2,4,1,2,1,5,2]]],[[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,1,2,1,4,1,2,-1,5,1]],[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,4,1,2,1,5,-1,2,-1]]],[[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,2,1,5,1,6,1,2,2,5,1,6,-1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,1,5,1,2,-1,4,1,5,2,2,2]]],[[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,1,2,1,4,1,2,-1,5,-1]],[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,1,4,1,2,-1,4,1,2,-1,5,1]]],[[[1,1,2,1],[2,
1,1,1],[1,1,2,-1],[2,2,3,1,4,-1,5,1,3,2,4,-1,5,1],[6,3],[1,1,2,1],[1,1,2,-1,8,
1,2,1,8,3],[7,1,9,1,7,-1,9,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,
1],[2,2,5,-1,4,1,2,1,5,-1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,-2,
4,1,2,2,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,2],[5,1,2,1,4,1,5,1]],[[2,
1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,-1,5,-1,4,1,2,1,4,1,5,1]]],[[[
2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[5,1,4,1],[5,2,6,-1,4,1,5,1,6,
-1,5,-1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,-2,4,1,5,2,
4,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[5,2],[6,1,5,1,4,1,6,
1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[5,1,4,1],[4,1,5,-1,6,
-1,4,1,5,1,4,1,6,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,
1],[6,1,2,1,5,3,4,1,6,1,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,-1,4,
1,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-2,5,-2,2,1,5,2,2,
1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,5,1,2,1,5,1,4,1,
2,-1,5,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1,
5,2,2,1,6,1,2,1,6,1,5,-1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[
2,1,4,1],[6,1,2,1,6,-1,5,1,2,1,4,1,6,1,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,2,2,-2,4,1,2,2,5,-1,
4,1,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,
-1],[6,1,5,-2,2,-1,7,2,6,-2,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[4,1,2,-1],[6,2,2,-1,5,1,6,1,5,1,2,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[2,1,4,1],[4,1,2,-1,5,-1,4,1,2,1,4,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[2,1,4,1],[5,2,2,-2,4,1,2,2,5,-1,4,1,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,4,1,6,1,2,1,4,1,6,1,2,1,5,2]],[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,-1],[2,1,5,2,6,-1,5,2,6,-1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,2,5,-1,4,1,2,1,5,-1,2,-1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,2,1,6,-1,5,2,2,1,6,
1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,5,-1,2,-2,4,
1,2,-1,6,-1,5,-1,6,1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,
-1,2,-2,5,1,2,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,
5,-1,2,-1,5,-1,2,2,5,1,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[2,1,4,1,5,1,2,1,5,1,4,1,2,-1,5,1,2,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[7,1,6,-1,5,-1,2,-1,5,2,6,1,7,-1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,4,1,6,1,2,1,4,1,6,1,2,2,5,
1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,-1,5,-1,4,1,2,1,4,1,5,
1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,2,5,1,4,1,2,-1,5,2,2,
1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,5,1,2,1,5,1,4,1,2,
-1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,1,5,1,2,-1,4,1,5,2,2,
2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,-2,4,1,2,2,4,1]],[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,2,1,6,-1,5,2,2,1,6,1]]],[[[2,1,
1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1,6,1,5,1,6,1,4,
1,5,-1,6,2]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[5,1,4,1],[5,1,
6,1,5,-1,4,1,6,2,5,2]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,
5,-2,4,1,5,2,4,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,
1],[5,1,4,1],[6,1,5,1,7,-1,6,2,5,1,7,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,4,1],[2,2,5,1,6,1,2,-1,5,-2,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,
2,-1,3,1],[2,1,4,1],[2,2,5,-1,4,1,2,1,5,-1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[5,2,2,1,4,1,2,-1,5,-2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,4,1],[5,1,2,1,6,-1,5,2,2,1,6,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,
2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[5,1,2,1,6,-2,7,1,6,-1,4,1,5,-1,7,
-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,5,3,6,
2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1],[2,1,4,1,5,1,2,1,
5,1],[6,1,7,-1,6,1,7,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,
1],[5,1,4,1,6,1,2,1,4,1,6,1,2,1,5,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,
1,2,1],[2,1,4,1],[4,1,2,-1],[7,1,6,-1,5,-1,2,-1,5,2,6,1,7,-1]],[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,1,5,1,2,-1,4,1,5,2,2,2]],[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,2,6,-2,2,-1]],[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,6,1,5,-2,6,1,2,-1,6,-1]]],[[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-2,5,1,6,-1,5,1,4,1,6,
1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,2,6,-2,2,
-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,6,1,5,-2,
6,1,2,-1,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,1,5,1,2,-1,4,
1,5,2,2,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,
-1],[7,1,6,-2,5,-1,7,-1,5,-2,2,-1,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[
2,1,4,1],[4,1,2,-1],[5,1,2,-1,4,1,5,1],[7,1,6,-1,7,1,6,-1]],[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,4,1,6,1,2,1,4,1,6,1,2,1,5,2]],[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,6,1,5,-1,6,1,5,-2,2,
-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[6,1,
5,-2,2,-1,7,2,6,-2,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,
1,2,1,5,4,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,1,4,
1,5,-1,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,
4,1,6,1,2,1,4,1,2,1,5,2,6,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[
2,1,4,1],[4,1,2,-2,5,1,6,-1,5,1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,
4,1],[5,1,2,2,5,-1,2,-1,4,1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
-1,4,1,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,1,5,1,2,-1,4,
1,5,2,2,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,6,3,
2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,1,5,-1,2,-1,5,
1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-2,5,-2,2,1,4,1,5,
-2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,2,5,-1,4,1,2,1,5,-1,2,
-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[7,1,
6,-1,5,-1,2,-1,5,2,6,1,7,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,2],[5,1,2,
1,4,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,4,1,6,
1,2,1,4,1,6,1,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,
1],[6,1,2,1,6,1,5,-1,6,1,5,-2,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,
2,1],[2,2,5,1,4,1,2,-1,5,2,2,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[2,1,4,1],[2,2,5,1,6,1,2,-1,5,-2,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,-2,4,1,2,2,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,
2,-2,5,-2,2,1,5,2,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,
4,1,5,1,2,1,5,1,4,1,2,-1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[
5,2,2,1,4,1,2,-1,5,-2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,
1],[4,1,2,-1],[6,1,2,1,5,2,7,1,5,1,6,-1,2,-1,6,-1,7,1]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[2,1,4,1],[5,1,2,-2,4,1,2,2,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[6,1,5,-2,2,-1,7,2,6,-2,2,-1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,4,1,6,1,2,1,4,1,6,1,2,1,5,
2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-2,6,-1,5,2,
6,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,5,3,4,
1,6,1,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,-1,4,1,2,1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,2,5,1,6,1,2,-1,5,-2,6,
-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,6,1,5,1,6,-1,
5,2,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,2,2,1,6,1,
2,1,6,1,5,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,
2,-1,5,-2,6,-1,5,-1,2,-1,5,-1,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,
1,2,1],[2,1,4,1],[6,1,2,1,5,3,4,1,6,1,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[4,1,2,1],[2,1,4,1],[2,1,6,-1,5,-1,6,1,2,1,4,1,6,1,5,1,2,1,5,1]]],[[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[7,1,5,1,2,1,5,1,
6,-2,5,-1,7,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,-1],[5,2,
2,-1,4,1],[7,1,6,-1,7,1,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[
2,1,4,1],[4,1,2,-2,6,-1,5,2,6,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[2,1,4,1],[4,1,2,-1],[7,1,5,-2,2,-1,6,-2,5,-2,7,-1]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,5,2,2,2,4,1,6,2,2,-1,5,-1]],[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,2,1,5,1,6,1,5,2,2,1,6,-1,4,1,
2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,2,5,1,
2,1,4,1,2,1,6,-1,5,1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,1,
2,1,4,1,2,-1,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,
2,2,1,6,-1,4,1,2,-1,5,1,2,1,5,1,6,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,
1,2,1],[2,1,4,1],[4,1,6,-1,5,1,6,2,5,1,2,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,6,2,2,1,5,2,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[2,1,4,1],[5,1,2,1,5,1,2,-1,4,1],[4,1,2,-1,6,-2]]],[[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,6,-1],[7,1,5,-1,6,2,5,-1,7,1]],[[2,
1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,-2,2,1,4,1,2,-1,5,-2]],[[
2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,6,3,2,1,5,2]]],[[[2,
1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,2,1,6,-1,5,2,2,1,6,
1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,1],[2,1,4,1,6,1,5,2,6,
1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,4,1,2,-1,5,2]]],[[[
2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,6,1,5,1,6,-1,5,2,2,
1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,6,2,2,1,5,2,6,
1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,2,1,5,1,2,-1,4,1],[6,2,
2,1,4,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-2,5,-2,2,1,4,
1,5,-2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,1],[7,
1,6,2,7,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,4,1,2,1,5,
-1,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,2,2,5,-1,2,-1,4,
1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,-1,4,1,2,1,4,1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[2,2],[5,1,2,1,4,1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[2,-2,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
-1,4,1,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,-1,4,1,2,1]]],[[[2,1,1,
1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[5,1,6,2,7,1,5,
1,7,2]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[5,1,4,1],[6,1,4,1,
5,1,6,-1,5,-1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[
5,2,6,1,4,1,5,-1,6,2,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,
1,4,1],[2,1,5,2,6,1,2,1,6,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,
1,4,1,2,1,5,-1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,2,5,1,4,
1,2,-1,5,2,2,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,
2,2,1,6,1,2,1,6,1,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,4,
1,2,1,5,-1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,-1,4,1,2,-1,
4,1,2,-1,5,2,2,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[
5,1,6,-1,2,-1,6,3,2,-1,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,
1,2,-1,5,-1,4,1,2,1,4,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,
1,4,1],[2,1,6,-1,5,2,6,-1,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[2,1,4,1],[6,1,2,1,5,3,6,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[
2,2,4,1,2,1,5,-2,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,2],[5,1,2,1,4,1,
5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,6,1,5,1,6,
-1,5,2,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,6,2,
2,1,5,2,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,2,4,1,
2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,2,6,1,
2,1,6,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,5,1,2,1,5,1,4,
1,2,-1,5,1,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,2,5,1,4,1,2,
-1,5,2,2,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,2,6,
2,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,2,4,1,2,1,5,-2,2,
-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,2,1,5,-1,4,1,2,1,5,1,2,
2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,6,3,2,1,5,
2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1,2,-1]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[2,1,4,1],[4,1,2,2,5,-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],[2,1,4,1],[5,2,6,2,2,1,5,2]],[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[2,2],[5,1,2,1,4,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,
1,2,1],[2,1,5,1],[6,1,2,1,4,1,5,-1,6,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,4,1],[2,1,5,2,6,1,2,1,6,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[2,1,4,1],[4,1,2,-1,5,-1,4,1,2,1,4,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,2,5,1,4,1,2,-1,5,2,2,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,4,1,2,1,5,4,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1]],[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,1,4,1,5,-1,2,1,4,1]]],[[[2,
1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,1],[6,1,5,-1,7,-1,5,
1,7,1,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,1,5,1,2,-1,4,1,5,
2,2,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-2,5,1,
6,-1,5,1,4,1,6,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-2,5,
-2,2,1,5,2,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[
6,1,2,1,5,3,6,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,1,5,1,2,-1,
4,1,5,2,2,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,
1,6,1,5,-2,6,1,2,-1,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,
2,-1,5,2,4,1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,1,5,1,2,
-1,4,1,5,2,2,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,
1,5,1],[6,1,7,-1,5,-1,6,1,7,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1]],[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,2,4,1,2,-1,4,1,2,-1]]],[[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[7,1,5,-2,2,-1,6,-2,5,
-2,7,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,6,3,2,1,
5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,2,1,5,1,6,1,
5,2,2,1,6,-1,4,1,2,-1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[
4,1,5,1],[5,1,4,1],[5,1,6,1],[7,1,6,-1,8,-1,6,1,8,1,7,-1]],[[2,1,1,1],[3,1,2,
-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[5,1,4,1],[5,1,6,1,5,-1,4,1,6,2,5,2]],[[2,1,1,
1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[4,1,5,-2,6,1,7,
-1,6,1,4,1,7,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,
1,2,-1],[7,1,5,1,4,1,6,1,2,2,5,1,6,-1,7,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,4,1],[5,1,6,3,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[
4,1,2,1],[2,1,4,1],[6,1,2,1,5,3,4,1,6,1,2,1,4,1]]],[[[2,1,1,1],[3,1,2,-1,1,1,
3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[5,1,6,1],[7,1,8,-1,6,-1,7,1,8,1,
6,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[
1,1,2,-1,1,1],[4,1,5,1],[6,2,4,1,5,-1,4,1,5,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[2,1,5,1],[2,1,4,1,6,1,5,2,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,-1,5,-1,4,1,2,1,
4,1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,2,5,1,6,
1,2,1,4,1,2,1,5,2,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,2,5,
1,4,1,2,-1,5,2,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[
6,1,2,1,5,3,4,1,6,1,2,1,4,1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,
1,1],[4,1,5,1],[5,1,6,1],[5,1,4,1,7,1,6,2,7,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,
2,-1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[5,1,4,1],[4,1,5,-1,
6,-1,4,1,5,1,4,1,6,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,
1],[4,1,2,-1],[7,2,5,1,6,2,5,-2,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,
1,2,1],[2,1,4,1],[5,1,4,1,6,1,2,1,4,1,6,1,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,
2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,1],[6,1,7,1,5,1,4,1,2,-1,6,-1,7,-1]]],[[[
2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[6,1,5,-2,2,
-1,7,2,6,-2,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,2,1,
5,4,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1],[5,2,2,2,4,
1],[6,1,7,-1,6,1,7,-1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[
4,1,5,1],[5,1,4,1],[7,1,5,1,6,4,7,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,
2,-1,1,1],[5,1,4,1],[6,1,5,-1,4,1,6,1,5,-1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,
-1],[1,1,2,-1,1,1],[4,1,5,1],[4,1,6,-1,5,1,4,1,5,-1,6,1]]],[[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,5,4,6,1]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[2,1,4,1],[5,1,2,-1,4,1,5,1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[4,1,2,1],[4,1,5,-1,2,1,4,1,2,-1,5,1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,
-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[6,2,5,1,7,1,5,1,7,1,6,-1]],[[2,1,1,
1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[5,1,4,1],[5,1,6,-1,4,1,5,1],[7,2,6,
1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,-1,4,1,5,
-1,4,1,5,-1,6,2,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,
1],[4,1,2,-1],[6,1,5,-2,2,-1,7,2,5,1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,4,1],[2,1,5,1],[7,1,6,2,7,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,
2,-1,3,1],[4,1,2,1],[5,1,2,1,4,1,2,-1,5,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[4,1,2,1],[2,1,4,1],[5,2,2,1,6,1,2,1,6,1,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,
2,-1,3,1],[2,1,4,1],[2,1,5,-1,4,1,2,1],[6,2,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[2,-1,4,1,2,-1,4,1,2,-1,5,2,2,1]]],[[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[4,1,2,-2,5,-2,2,1,4,1,5,-2]],[[2,1,1,1],[1,1,2,1,3,-1,
2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,2,6,1,2,1,6,2]],[[2,1,1,1],[1,1,2,1,3,-1,
2,-1,3,1],[4,1,2,1],[2,-1,4,1,2,-1,4,1,2,-1,5,2,2,1]]],[[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,6,-1,5,2,6,-1,2,-1]],[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[4,1,2,-2,4,1,2,2,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[
2,1,4,1],[4,1,2,-1,5,-1,4,1,2,1,4,1,5,1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,
-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[4,1,5,-1],[5,2,7,-1,8,2,6,1,5,1,6,1,7,
1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[5,
2],[7,1,6,-1,8,-1,7,-1,6,-2,8,-1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,
-1,1,1],[4,1,5,1],[5,1,4,1],[4,1,5,-1],[8,1,7,-1,6,1,7,1,5,-1,8,1,6,1,5,
1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[2,2,
6,-1,7,2,5,1,2,1,5,1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,
4,1],[2,2],[6,1,5,-1,7,-1,6,-1,5,-2,7,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[7,1,6,-1,5,1,6,1,2,-1,7,1,5,1,2,1]]],[[[2,
1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[7,1,5,-1,6,1,7,
-2,6,2,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,6,
-1,5,2,6,-1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,
1,4,1,6,1,2,1,4,1,6,1,2,1,5,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[4,1,2,-1],[6,2,5,1,4,1,2,-1,5,-1,2,-1,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,6,-1,5,2,6,-1,2,-1]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-2,6,-1,5,2,6,1]]],[[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[7,2,5,1,6,2,5,-2,2,-1]],[[2,
1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,2,6,2,2,1,5,2]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,1],[6,1,7,1,5,1,4,1,2,
-1,6,-1,7,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,
4,1,6,1,2,1,4,1,6,1,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,
1,2,-1],[5,2,2,-1,4,1],[7,1,6,-1,7,1,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,4,1],[4,1,2,-2,6,-1,5,2,6,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,2,1,6,-4,5,-1,2,1,4,1]],[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,1,4,1,5,-1,2,1,4,1]],[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[4,1,2,-1],[2,2,4,1,2,-1,5,3,2,-1,4,1,2,1]]],[[[2,1,1,1],[3,1,
2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1,6,1,5,1,6,1,4,1,5,-1,6,1,
5,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,6,2,5,
1,4,1,5,-1,6,-2]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,-1,
4,1,5,1,4,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,4,
1,6,1,2,1,4,1,6,1,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,
4,1],[2,1,5,2,6,3,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,
2,-2,4,1,2,2,5,-1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,
5,1],[5,1,4,1],[4,1,5,-2,7,-1,6,2,7,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,
1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[6,1,5,1,6,1,7,2]],[[2,1,1,1],[3,1,2,-1,1,1,3,
1,2,-1],[1,1,2,-1,1,1],[5,1,4,1],[6,1,5,-2,4,1,5,2,6,-1]]],[[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,2,6,1,2,1,6,2]],[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,4,1,2,1,5,-1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,
2,-1,3,1],[4,1,2,1],[2,1,4,1,5,1,2,1,5,1,4,1,2,-1,5,1,2,1]]],[[[2,1,1,1],[1,1,
2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[7,1,6,-1,5,-1,2,-1,5,2,6,1,
7,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,2,1,5,-1,4,1,2,1,5,1,
2,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1,5,1,6,
4,2,-1,5,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,5,1,2,1,
5,1,4,1,2,-1,5,1,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,2,
2,1,4,1,2,-1,5,-2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,-1,4,1,2,1,4,
1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,2,1,5,1,6,
-1,5,2,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,2,4,1,2,-1,5,
-1,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,-1,5,-1,4,1,
2,1,4,1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,
-2,6,-1,5,2,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,
2,1,5,1,6,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,2,-2,4,1,2,2,
5,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,2,1,5,1,
6,-1,5,2,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,2,6,
2,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,1,2,1,4,1,2,-1,5,
-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,2,5,1,6,1,2,
-1,5,-2,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,
1,5,4,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,5,1,2,1,5,1,
4,1,2,-1,5,1,2,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[
5,2,6,2,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,1],[6,1,
5,1,4,1,2,-1,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,2,1,5,
-1,4,1,2,1,5,1,2,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,
5,1,2,1,5,1,4,1,2,-1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,
4,1],[6,1,2,1,5,3,6,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,2,4,1,
2,1,5,-2,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,
2,-2,6,-1,5,2,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,
2,6,2,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,
-2,6,-1,5,-2,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[
4,1,2,-2,6,-1,5,2,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,
1],[5,2,6,2,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,2,-2,
4,1,2,2,5,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,-1],[2,1,
5,2,6,-1,5,2,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,2,5,
-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],[2,1,4,
1],[5,1,2,1,6,-1,5,2,2,1,6,1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,
1,1],[4,1,5,1],[5,1,4,1],[4,1,5,-2,7,-1,6,2,7,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,
1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[6,2,7,2,5,1,6,2]],[[2,1,1,1],[3,1,
2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[5,1,4,1],[6,1,5,-2,4,1,5,2,6,-1]]],[[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,4,1,6,1,2,1,4,1,6,1,2,1,
5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1],[6,1,5,1,2,1,6,
1,5,1,2,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,
1,6,1,5,-1,6,1,5,-2,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,
1,4,1],[6,1,2,1,5,3,4,1,6,1,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,
2,-1],[5,1,2,-1,4,1,2,1],[5,1,6,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[2,1,4,1],[5,1,2,1,5,1,6,-1,5,2,6,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,4,1],[5,1,6,-2,4,1,2,-1,6,-1,5,-1,6,1,2,-1]],[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1,5,-1,6,2,5,-1,6,1]],[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,6,1,5,-1,6,1,5,-2,2,
-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-2,5,1,6,
-1,5,1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,2,2,1,4,1,2,
-1,5,-2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,-1,4,1,2,1]]],[[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[7,1,6,-1,5,-1,2,-1,5,2,6,
1,7,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,4,1,6,1,
2,1,4,1,6,1,2,2,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,2],[5,1,2,1,4,1,5,
1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,2,5,1,4,1,2,-1,5,2,2,
1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,4,1,6,1,2,1,
4,1,6,1,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-2,5,-2,
2,1,5,2,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,1,5,1,2,-1,
4,1,5,2,2,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,
5,3,4,1,6,1,2,1,4,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,
1],[4,1,2,-1],[7,2,5,1,2,1,6,-1,5,-1,6,1,7,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[4,1,2,-1],[2,2,4,1,2,-1,5,3,2,-1,4,1,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1,5,1,6,4,2,-1,5,-1]],[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,6,1,5,-1,6,1,5,-2,2,-1]]],[[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,2,5,-1,4,1,2,1,5,-1,2,-1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1,2,2,4,1,2,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[2,1,4,1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,2,4,1,
2,1,5,-2,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,
6,2,2,1,4,1,5,-1,2,-1,5,-1,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[2,1,4,1],[2,1,5,2,6,1,2,1,6,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[2,-1,4,1,2,-1,4,1,2,-1,5,2,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,
2,1],[2,1,4,1],[6,1,2,1,5,3,4,1,6,1,2,1,4,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[4,1,2,1],[4,1,2,-2,5,-2,2,1,5,2,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-2,5,1,6,-1,5,1,4,1,6,1]],[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[2,1,4,1],[2,1,5,1,2,-1,4,1,5,2,2,2]],[[2,1,1,1],[1,1,2,1,3,-1,
2,-1,3,1],[4,1,2,1],[2,1,4,1,5,1,2,1,5,1,4,1,2,-1,5,2]]],[[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[7,1,6,-2,5,-1,7,-1,5,-2,2,-1,6,
-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,-1],[5,1,2,-1,4,1,5,
1],[7,1,6,-1,7,1,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,
1],[2,2],[6,1,5,-2,7,-1,6,-1,5,-1,7,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[
4,1,2,1],[2,1,4,1],[6,1,2,1,6,1,5,-1,6,1,5,-2,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[7,1,5,-1,6,1,7,-2,6,2,5,-1]],[[2,
1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,2,1,5,1,6,-1,5,2,6,
1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,4,1,6,1,2,1,4,
1,6,1,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,
1,5,3,4,1,6,1,2,1,4,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,
1],[4,1,2,-1],[7,1,5,-1,6,1,7,-2,6,2,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,4,1],[4,1,2,-1,6,-2,5,-3,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[4,1,2,-1],[5,1,2,1,5,1,2,1,4,1],[6,1,7,-1,6,1,7,-1]],[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,4,1,6,1,2,1,4,1,6,1,2,1,
5,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[2,
1,6,-1,5,-1,6,1,7,-1,2,1,5,2,6,-1,7,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,
1,2,1],[2,1,4,1],[2,1,5,1],[6,1,5,-1,7,-1,5,1,7,1,6,-1]],[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,6,1],[7,1,5,-1,6,2,7,1,5,-1,2,1,4,
1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,-1],[5,1,2,-1,4,1,5,
1],[7,1,6,-1,7,1,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,
1],[5,2,6,2,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[
2,1,5,2,6,1,2,2,6,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,
1],[6,1,2,1,5,2,2,1,6,-1,5,1,6,1,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,4,1],[2,1,6,-1,5,2,6,-1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[5,1,6,-1,2,-1,6,-1,7,2,5,1,6,1]]],[[[
2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[5,1,6,-2,7,2,
6,-1,5,-1,2,-1,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,
-1],[4,1,2,1,5,-2],[7,1,6,1,7,1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,
2,1],[2,1,4,1],[5,1,4,1,6,1,2,1,4,1,6,1,2,2,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,
2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1,5,1,6,2,2,2,5,1,2,1,5,1]],[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,-1],[4,1,2,1,5,-2],[7,1,6,1,7,1,6,
1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1,6,-1,5,1,
6,-3,5,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,
-1],[7,2,2,-1,5,1,7,1,5,1,6,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[
2,1,4,1],[2,1,6,2,2,1,5,2,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[
5,1,2,1,5,1,2,-1,4,1],[4,1,2,-1,6,-2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[
4,1,2,1],[4,1,2,-1],[6,1,5,-2,2,-1,4,1,2,-1,6,2,2,-1,5,1]],[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,-1,5,-2,6,-1,5,-1,2,-1,5,-1,2,1,4,
1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1],[5,2,2,1,4,1,2,-1,
6,2,5,1,2,1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,
1,2,-1],[5,2,2,1,6,-1,7,2,5,1,6,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[2,1,4,1],[6,1,2,1,5,3,4,1,6,1,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,4,1],[6,1,2,-1,5,-2,6,-1,5,-1,2,-1,5,-1,2,1,4,1]]],[[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,2,2,1,6,-1,4,1,2,-1,5,1,2,1,
5,1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,2,6,2,2,1,
5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,-1],[6,1,5,-1,6,1,2,
-1,4,1,2,-2,5,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[
5,1,4,1,6,1,2,1,4,1,6,1,2,2,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[4,1,5,-2,2,2,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,
1],[6,1,2,1,6,1,5,-2,6,1,2,-1,6,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,
1,2,1],[2,1,4,1],[4,1,2,-1],[7,1,6,-1,5,-1,2,-1,7,1,6,-1,5,-1,2,-2]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,2,6,2,2,1,5,2]],[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,1],[6,1,7,1,5,1,4,1,2,-1,6,
-1,7,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,2,2,1,6,
-1,4,1,2,-1,5,1,2,1,5,1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,
1,4,1],[5,2,6,2,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,
1],[2,1,5,3,6,2,2,1,4,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,
4,1],[5,1,4,1,6,1,2,1,4,1,6,1,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,
1,4,1],[5,1,2,2,4,1,2,2,4,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[5,1,2,1,4,1,2,-1,5,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,
1,2,-1],[5,1,2,-1,4,1,2,-2,6,2,5,-2,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,4,1],[4,1,2,-1,6,-2,5,-3,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[4,1,2,-1],[5,1,2,1,5,1,2,1,4,1],[6,1,7,-1,6,1,7,-1]]],[[[2,
1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[7,1,5,-1,6,1,7,
-2,6,2,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,2,2,4,1,2,2,4,
1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,2,2,1,6,-1,
4,1,2,-1,5,1,2,1,5,1,6,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,
1,4,1],[4,1,2,-1,6,-2,5,-3,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[2,1,4,1],[5,2,6,2,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[
2,1,4,1],[5,1,2,1,5,1,6,-1,5,2,6,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,
1,2,1],[2,1,4,1],[6,1,5,-1,2,-2,5,1,2,1,5,1,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[2,1,5,1],[5,1,6,1,2,1,4,1,6,1,5,1]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,1,4,1,5,-1,2,1,4,1]]],[[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,2,1,6,-1,5,2,2,1,6,1]],[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,5,3,6,2]],[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[2,1,4,1],[2,1,5,1,2,-1,4,1,5,2,2,2]]],[[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,-1],[4,1,2,1,5,-2],[7,1,6,1,7,1,6,1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,2,1,5,1,6,2]],[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-2,6,-1,5,2,6,1]]],[[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[5,1,4,1,6,1,7,-2,6,
1,5,-1,6,-1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,2,-1,
5,1,4,1,2,-2,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,
-4,2,-1,4,1,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[
2,1,5,1],[6,1,5,-1,7,-1,5,1,7,1,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,
1,4,1],[2,1,5,1,2,-1,4,1,5,2,2,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[2,1,4,1],[4,1,2,-2,5,1,6,-1,5,1,6,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[2,1,4,1],[4,1,2,-1],[5,1,2,-1,4,1,2,-2,6,2,5,-2,2,-1]],[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,6,2,2,1,4,1,6,1,2,-1,5,-2]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,4,1,6,1,2,1,4,1,6,1,2,1,5,
2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[7,1,
5,-1,6,1,7,-2,6,2,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,
-1],[4,1,2,1,5,-2],[7,1,6,1,7,1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,
2,1],[4,1,2,-1],[5,1,2,1,5,1,2,1,4,1],[6,1,7,-1,6,1,7,-1]]],[[[2,1,1,1],[1,1,
2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1,6,-2,5,-3,2,-1]],[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,-1],[4,1,2,1,5,-2],[7,1,6,1,7,1,6,
1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,2,1,5,1,6,-1,
5,2,6,1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[5,1,4,1],[6,1,
5,1,6,1,5,-1,4,1],[4,1,5,-1,7,-2]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,
-1,1,1],[4,1,5,1],[5,1,4,1],[5,1,7,2,5,1,6,2,7,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,
1,2,-1],[1,1,2,-1,1,1],[5,1,4,1],[5,1,6,-1,4,1,5,1,6,1],[7,2,5,1,4,1]]],[[[2,
1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,2,1,5,1,2,-1,4,1],[4,1,2,-1,6,
-2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,6,2,2,1,5,2,
6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,1,5,-1,4,1,2,1,5,1],[6,
2,2,1,4,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,
-1],[7,1,5,1,2,1,5,1,6,1,2,2,6,-1,7,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,
1,4,1],[4,1,2,-1],[5,2,2,-1,4,1],[7,1,6,-1,7,1,6,-1]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,3,6,2,2,1,4,1]]],[[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,2,6,1,2,1,6,2]],[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[4,1,2,1],[2,2,5,1,2,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,4,1,5,1,2,1,5,1,4,1,2,-1,5,1,2,1]]],[[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,4,1,6,1,2,1,4,1,6,1,2,1,5,2]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,-2,6,-1,5,-2,2,-1]],[[2,
1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,-1],[5,1,2,-1,4,1,5,1],[6,1,7,
-1,6,1,7,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,-1],[5,1,
2,-1,4,1,2,-2,6,2,5,-2,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,
1,5,1],[6,1,5,2,6,1,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,
1,2,-2,4,1,2,2,5,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,
1],[4,1,2,-1],[7,1,6,-1,5,-1,2,-1,7,1,6,-1,5,-1,2,-2]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,2,6,2,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,
2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[2,1,5,2,6,-2,5,-1,7,-2]]],[[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,-1,2,-1,5,-1,2,2,5,1,2,1,4,
1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,1,4,1,2,-1,4,1,2,-1,5,
1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-2,5,-2,2,1,4,1,5,
-2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,5,1,2,1,5,1,4,1,2,
-1,5,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[
7,1,6,-2,5,-1,7,-1,5,-2,2,-1,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,
1],[4,1,2,-1],[5,1,2,-1,4,1,5,1],[7,1,6,-1,7,1,6,-1]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,2,2,1,6,-1,4,1,2,1,6,-1,5,-2]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,2],[6,1,5,-2,7,-1,6,-1,5,-1,
7,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,2,6,1,2,-2,
5,1,2,1,5,1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,2,2,4,1,2,
2,4,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,4,1,6,
2,5,-1,2,-1,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,
1,2,1,5,3,4,1,6,1,2,1,4,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,
1,4,1],[2,2,5,1,6,1,2,1,4,1,2,1,5,2,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,4,1],[2,1,5,2,6,3,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[2,1,4,1],[4,1,2,-1],[6,1,5,-2,2,-1,4,1,2,1,5,2,6,-1]],[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,4,1,6,1,2,1,4,1,6,1,2,1,5,2]]],[[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[5,1,2,1,6,-2,7,1,
6,-1,4,1,5,-1,7,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,5,
1,2,1,5,1,4,1,2,-1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,
1],[5,1,4,1,6,1,2,1,4,1,6,1,2,2,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,
2,1],[2,1,4,1],[6,1,2,1,5,3,4,1,6,1,2,1,4,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[5,1,2,1,6,-2,7,1,6,-1,4,1,5,-1,7,-1]],[[
2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,5,3,6,2]],[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[6,1,5,-2,2,-1,7,
2,6,-2,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,5,1,2,1,5,
1,4,1,2,-1,5,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,
1,2,-1],[7,1,5,-1,6,1,7,-2,6,2,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,
4,1],[4,1,2,-1,5,-1,2,-1,4,1,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,
1,2,1],[2,1,4,1],[5,1,4,1,6,1,2,1,4,1,6,1,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,
2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,3,6,2,2,1,4,1]]],[[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,5,-1,2,-1,5,1,2,1,6,-1]],[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,1],[6,1,5,2,6,1,2,1,4,1]]],[[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,5,3,6,2]],[[2,1,1,1],[1,1,
2,1,3,-1,2,-1,3,1],[4,1,2,-2,4,1,2,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[
4,1,2,1],[2,1,4,1],[6,1,2,1,6,-1,5,3,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[4,1,2,-1,5,2,4,1,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,
1,2,1],[2,1,4,1],[4,1,2,-2,5,1,6,-1,5,1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,4,1,2,-1,5,-4]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[2,1,4,1],[4,1,2,-1],[6,1,2,2,5,1,7,1,5,1,6,2,7,-1]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[2,1,4,1],[4,1,2,-1],[5,1,2,-1,4,1,5,1],[7,1,6,-1,7,1,6,-1]]],[[[
2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,2,6,1,2,1,6,2]],[[
2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,6,1,5,1,6,-1,5,1,2,
1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,5,2,
6,-1,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,2,2,2,5,
2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,5,-1,2,-2,5,
2,2,1,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,
5,4,6,1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,-2,
6,2]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,-2,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1]]],[[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,2,4,1,2,-1]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[2,1,4,1,2,2,4,1,2,2]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,
2,-1,1,1],[4,1,5,1],[5,1,4,1],[4,1,5,-2,6,1,7,-1,6,1,7,1]],[[2,1,1,1],[3,1,2,
-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1,5,-1,6,-4]]],[[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,6,3,2,1,5,2]],[[2,1,1,1],[1,1,
2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,5,4,6,1]]],[[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,1,4,1,5,1,2,1,4,1,5,1,2,-2]],[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,5,3,6,2]]],[[[2,1,1,1],[1,1,
2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,2,2,-2,4,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[5,1,4,1,2,-1,4,1,2,-1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,-1,5,-2,6,1,2,-1,5,-1]],[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,1,5,-1,2,-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],[2,1,4,1],[4,1,2,-1],[5,1,2,1,6,-2,7,3,5,
1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,5,3,6,
2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[7,1,
5,-1,6,1,7,-2,6,2,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,
2,4,1,2,-1,5,-1,2,1,4,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,
4,1],[6,1,2,2,5,1,2,1,4,1,6,1,2,1,6,1,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,4,1],[5,1,6,3,2,1,5,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,4,1],[4,1,2,-1,5,-1,6,2,5,-1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,
2,-1,3,1],[4,1,2,1],[2,1,5,1],[2,1,4,1,6,1,5,2,6,1]]],[[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,1],[7,1,6,1,7,1,5,1,6,-1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,1],[6,1,5,2,6,1,2,1,4,1]]],[[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,2,6,-2,2,-1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,1,5,-1,2,-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],[4,1,2,-1],[6,1,4,1,2,-1,5,-1,2,-1,
5,-2,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,1,5,-1,2,-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],[2,1,4,1],[5,1,
2,1,5,1,6,-2,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,1,5,1,2,
-1,4,1],[6,2,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[
5,2,6,-1,5,-1,6,1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,
-1,5,-1,2,1,4,1,2,1,5,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,
5,1],[5,1,6,1,2,1,4,1,6,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[
2,1,5,1,2,-1,4,1],[6,2,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[
4,1,2,-1],[5,2,2,-1,4,1],[7,1,6,-1,7,1,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,4,1],[6,1,5,-1,2,-1,5,-1,6,1,2,-1,5,-1]]],[[[2,1,1,1],[1,1,
2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,6,2,2,1,6,-1,5,1,6,1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,6,-1,5,-1,6,1,2,-1,5,
-2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,6,-1,2,-1,
6,3,2,-1,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,
1,5,3,6,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,1],[4,1,2,
-1,5,-1,6,-1,5,1,6,1,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[
5,1,2,-2,4,1,2,2,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,
1],[5,1,6,3,2,1,5,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,
1],[4,1,2,-1],[2,2,6,-1,7,2,5,1,2,1,5,1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,4,1,5,1,2,1,5,1,4,1,2,-1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[2,1,4,1],[4,1,2,-1],[2,1,5,2,6,-1,5,1,2,2,4,1,2,1,6,1]]],[[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[2,2,6,-1,7,2,5,1,2,
1,5,1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,5,
4,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-2,5,1,
6,-1,5,1,6,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,
2,-2,6,-1,5,2,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,1,5,2,
2,1,4,1,5,1,2,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,
5,2],[7,1,6,1,7,-1,6,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,
4,1],[4,1,2,-1,6,-2,5,-3,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[
4,1,2,-1],[4,1,2,1,5,-2],[7,1,6,1,7,1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,4,1],[4,1,2,-2,5,1,6,-1,5,1,4,1,6,1]]],[[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,2,6,-2,5,-2,2,-1]],[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,6,-1,5,2,6,2]]],[[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[4,1,2,1],[5,2,4,1,2,-1,5,1,2,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,
2,-1,3,1],[2,1,4,1],[5,1,2,2,5,-1,2,-1,4,1,2,-1]]],[[[2,1,1,1],[3,1,2,-1,1,1,
3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[5,1,6,2,7,-2,5,-1]],[[2,1,1,1],[
3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[6,1,5,1,4,1,5,-1,6,2]]],[[[2,
1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,2,6,-2,2,-1]],[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,1,2,1,4,1,2,-1,5,2]]],[[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1,5,-1,6,2,5,-1,6,1]],[[2,
1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,2,6,2,2,1,5,2]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,2,5,1,4,1,2,-1,5,2,2,1]]],[[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,6,1,5,-1,6,1,5,-2,2,
-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,2,2,1,6,-2,4,1,
5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,-1],[2,2,4,1,2,-1,5,3,2,-1,4,
1,2,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1,6,
-1,5,-2,2,-1,5,-1,6,1,2,-1,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[2,1,4,1],[5,1,4,1,6,1,2,1,4,1,6,1,2,2,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[2,1,4,1],[2,1,5,1,2,-1,4,1,5,2,2,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[2,2,6,-1,7,2,5,1,2,1,5,1,6,1]],[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,-1],[5,1,2,-1,4,1,2,-2,6,2,5,-2,2,
-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,-1,4,1,2,1]]],[[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[2,2,6,-1,7,2,5,1,2,1,5,1,6,
1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,5,3,4,1,6,
1,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,-1],[2,1,5,2,
6,-1,5,1,2,2,4,1,2,1,6,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,
1,4,1],[4,1,2,-1],[7,1,5,-1,6,1,7,-2,6,2,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1,6,-1,4,1,5,-2,2,-2,6,-1]],[[2,1,1,1],[1,1,
2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,2,2,1,6,-1,4,1,2,-1,5,1,2,1,5,1,6,
1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[
7,1,5,1,6,4,7,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,
1],[5,1,4,1],[7,1,6,-1,5,-1,6,1,5,1,7,-1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,
-1],[1,1,2,-1,1,1],[5,-1,4,1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,
2,1],[2,1,4,1],[4,1,2,-1,6,-1,4,1,5,-2,2,-2,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,2,1,5,1,6,-1,5,2,6,1]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,4,1,6,1,2,1,4,1,6,1,2,1,5,2]]],[[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[7,1,5,-1,6,1,7,-2,
2,-1,5,-2,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,
6,3,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,2,1,
5,1,6,1,5,2,2,1,6,-1,4,1,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[2,1,4,1],[6,1,2,2,5,1,2,1,4,1,6,1,2,1,6,1,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,
2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,1],[6,1,7,1,5,1,4,1,2,-1,6,-1,7,-1]],[[2,
1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,4,1,6,2,5,-1,2,-1,5,
-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-2,6,-1,
5,2,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,1,4,1,2,-1,4,1,2,-1,
5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,2,4,1,2,1,5,-2,2,
-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,5,4,6,
1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,5,-1,2,-1,5,1,
2,1,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,-1,4,1,2,1]]],[[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,1,6,1,2,1,4,1,5,-1,2,-2,6,
-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,2,6,2,2,1,5,
2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,-1],[5,1,2,2,6,1,5,-1,
2,-1,4,1,6,-2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,
2,-1],[7,1,5,-1,6,1,7,-2,6,2,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,
1],[4,1,2,-1],[4,1,2,1,5,-2],[7,1,6,1,7,1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[4,1,2,1],[2,1,4,1],[5,1,2,1,5,1,6,-1,5,2,6,1]]],[[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,2,6,3,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[5,1,4,1,2,-1,4,1,2,-1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,
2,-1,3,1],[2,1,4,1],[4,1,2,1,5,2,2,1,4,1,5,1,2,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,
2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,1],[6,1,7,1,5,1,4,1,2,-1,6,-1,7,-1]],[[2,
1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,-1],[6,2,4,1,2,1,5,1,6,-1,2,
-2,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,2,6,2,2,1,
5,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[2,
2,6,-1,7,2,5,1,2,1,5,1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,
1,4,1],[6,1,2,1,5,4,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,
1,5,1,2,1,5,1,4,1,2,-1,5,2]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,
1],[4,1,5,1],[5,1,4,1],[4,1,5,-2,7,-1,6,2,7,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,
2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[5,1,6,2],[7,1,8,1,7,-1,8,-1]],[[2,1,
1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[6,1,4,1,5,-1,4,1,5,-1,
6,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,2,2,4,1,2,2,4,1,5,
2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,2,6,2,2,1,5,
2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,2,1,5,1,6,-1,
5,2,6,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,2,6,
1,2,2,5,1,6,-1,4,1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,
-1,4,1,2,-1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,
2,-1],[7,1,6,-1,5,-1,2,-1,7,1,6,-1,4,1,5,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[4,1,2,1],[2,1,4,1],[5,1,4,1,6,1,2,1,4,1,6,1,2,1,5,2]],[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-2,5,-2,2,1,4,1,5,-2]],[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,3,6,2,2,1,4,1]]],[[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-2,6,-1,5,2,6,1]],[[2,1,1,1],[1,1,
2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,2],[6,1,7,1,6,-1,7,-1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,1,4,1,2,-1,4,1,2,-1,5,1]]],[[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,2,6,1,2,1,6,2]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,2,5,1,2,1,5,1]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,5,1,2,1,5,1,4,1,2,-1,5,2]]],[[[2,1,1,1],[1,1,
2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,-1,2,-1,5,-1,2,2,5,1,2,1,4,1]],[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,2,5,-1,4,1,2,1,5,-1,2,-1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,6,3,2,1,5,2]]],[[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,-1],[6,2,4,1,2,1,5,1,6,-1,2,-2,5,
-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1,2,1,4,1,2,-1,4,1,2,-1]],[[2,
1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,4,1,6,1,2,1,4,1,6,1,2,
1,5,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[
7,1,6,-1,5,-1,2,-1,7,1,6,-1,5,-1,2,-2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,
1,2,1],[2,1,4,1],[5,2,6,2,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[2,1,4,1],[4,1,2,-2,6,-1,5,2,6,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,
1,2,1],[2,1,4,1],[2,1,5,2,6,2,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,
2,-1],[5,1,4,1,2,-2,5,1,4,1,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[2,1,4,1],[5,1,2,1,5,1,6,-2,5,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,
1,2,1],[2,1,4,1],[4,1,2,-1],[2,2,6,-1,7,2,5,1,2,1,5,1,6,1]],[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,2,5,1,6,-1,4,1,2,-1,5,-1,2,-1,5,-1,6,
-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,4,1,6,1,2,1,
4,1,6,1,2,1,5,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,
1,2,1,6,-4,5,-1,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,
-1],[5,1,2,-1,4,1,5,1],[7,1,6,-1,7,1,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,4,1],[6,1,2,1,6,1,5,-1,6,1,5,-2,2,-1]]],[[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,1],[6,1,7,1,5,1,4,1,2,-1,6,-1,7,
-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,1,5,-1,4,1,2,1,4,1,5,
1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,4,1,6,1,2,1,4,
1,6,1,2,1,5,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,
2,-1,5,-1,6,2,5,-1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,
3,4,1,2,-2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,2,5,2,2,1,5,-1,4,
1,2,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,5,1,6,
-1,2,-1,4,1,2,-1,5,2,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,
5,1],[5,1,6,1,2,1,4,1,6,1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[2,1,4,1],[6,1,5,-2,2,-1,4,1,2,-2,5,1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[4,1,2,1],[2,1,4,1],[2,1,5,1],[7,1,6,2,7,1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,4,1,6,3,2,-1,5,-1]],[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[4,1,2,-1],[5,1,4,1,2,1],[6,1,4,1,2,-1,6,-1,5,-1]]],[[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,3,4,1,2,-2]],[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,4,1,2,-1,5,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,
2,-1,3,1],[2,1,4,1],[5,1,2,2,5,-1,2,-1,4,1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[4,1,2,-1,5,2,2,1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,4,1],[5,1,2,1,6,-4,5,-1,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,
2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,2,5,1,6,1,5,-1,6,1,2,-1]],[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[4,1,2,-1],[2,2,4,1,2,-1,5,3,2,-1,4,1,2,1]]],[[[2,1,1,1],[3,
1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1,5,2,6,1,4,1,5,-1,6,
2]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,6,2],[7,
2,5,1,4,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,2,2,5,1,4,
1,2,-1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,2],[6,2,2,1,
4,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,2,6,1,2,1,6,
-1,5,1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,2,4,1,2,
-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,6,-1,5,2,
2,1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,1,4,1,5,
-1,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,2,5,-1,4,1,2,1,5,
-1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,2],[5,1,2,1,4,1,5,1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,1,4,1,5,-1,2,1,4,1,2,-1]]],[[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,2,2,1,4,1,2,-1,5,-1,2,-1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,1,4,1,2,-1,4,1,2,-1,5,1]],[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,2,4,1,2,-1]]],[[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[2,1,4,1],[2,1,5,-1,4,1,2,1,5,1,2,-2]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[5,1,4,1,2,-1,4,1,2,-1,5,1]]],[[[1,1,2,1],[1,1,2,-1,3,
-2,2,1,3,2],[4,2],[1,1,2,1],[2,1,1,1],[7,1,2,1,6,2,7,2,6,-1],[5,1,8,1],[8,1,5,
1],[10,1,8,-2,9,1,8,1,10,-1,9,1]],[[1,1,2,1],[1,1,2,-1,3,-2,2,1,3,2],[4,2],[1,
1,2,1],[2,1,1,1],[7,1,2,1,6,2,7,2,6,-1],[5,1,8,1],[8,1,9,1],[5,1,8,-1,9,1,10,
1,8,1,5,1,10,1,9,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,
1],[6,2,2,-1,5,-1,6,1,2,2,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[
4,1,2,-1,5,1,2,1,5,1,2,1,4,1,2,-1,5,-2]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,
-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[4,1,5,-1],[8,1,6,1,7,-1,5,-1,7,-1,8,1,
6,-1,7,1,5,-1,7,-1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,
1],[5,1,4,1],[7,1,5,1,6,3,4,1,7,1,5,1,4,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,
-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[4,1,5,-1],[7,1,6,-2,5,-1,8,2,7,-2,5,
-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[7,1,
5,1,6,-1,2,-1,6,-1,7,1,5,-1,6,1,2,-1,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,4,1],[6,1,2,1,5,3,4,1,6,1,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[6,1,5,-2,2,-1,7,2,6,-2,2,
-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-2,5,1,2,1,5,1,4,1,
2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,1,5,-1,2,-1,5,
1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,2,1,5,1,6,-2,
5,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-2,5,1,2,1,5,1,4,
1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,2],[5,1,2,1,4,1,5,1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,2,5,-1,4,1,2,1,5,-1,2,-1]]],[[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[2,1,6,1,5,-1,6,1,7,
-1,2,1,6,-1,5,1,6,1,7,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,
4,1],[5,1,2,1,5,1,6,1,5,2,2,1,6,-1,4,1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[6,1,5,-1,2,-1,5,-1,7,2,5,2,2,1,6,1]]],[[[2,
1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[4,1,5,-1],[
5,1,7,1,6,-1,7,1,8,-1,5,1,7,-1,6,1,7,1,8,-1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,
-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[6,1,5,1,6,1,7,1,6,2,5,1,7,-1,4,1,5,
-1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[4,
1,5,-1],[7,1,6,-1,5,-1,6,-1,8,2,6,2,5,1,7,1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,
2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[6,1,7,-1,5,-1,7,3,5,-1,6,-1]],[[2,1,
1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[4,1,5,-2,4,1,5,-1,6,2,
5,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[4,1,5,-1,4,
1,5,-1,6,-1,5,2,6,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,
1],[5,1,6,-1,2,-1,6,3,2,-1,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[4,1,2,-2,4,1,2,-1,5,2,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[
4,1,2,-1,4,1,2,-1,5,-1,2,2,5,1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,
-1,1,1],[4,1,5,1],[6,2,5,1,4,1,5,-2,6,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[
1,1,2,-1,1,1],[5,1,4,1],[6,1,4,1,5,1,6,-1,5,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[5,2,2,1,4,1,2,-2,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[
2,1,4,1],[5,1,4,1,2,1,5,-1,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[2,1,4,1],[4,1,2,-2,6,-1,5,2,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,
4,1],[4,1,2,2,5,-2,2,-1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,
1],[4,1,5,1],[5,1,4,1],[7,1,5,1,7,1,6,-2,7,1,5,-1,7,-1]],[[2,1,1,1],[3,1,2,-1,
1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[6,1,5,1,4,1,5,-1,6,-1,5,-2]]],[[[2,1,
1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[5,1,4,1],[5,2,4,1,5,1,6,-2,5,
-1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,-2,4,1,5,-1,4,1,
5,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,6,1,5,
-2,6,1,2,-1,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,1,2,1,4,1,
2,-1,5,-1,2,-2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,2,4,1,2,1,
5,-2,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,-2,4,1,2,-1,4,1,2,
2]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[
6,2,7,2,5,2,6,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,
1],[5,1,4,1],[5,1,7,-1,6,2,7,-1,5,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[
4,1,2,1],[2,1,4,1],[5,2,6,2,2,2,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,
2,1],[2,1,4,1],[2,1,6,-1,5,2,6,-1,2,-1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,
-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[6,1,5,1,7,-2,6,1,7,2]],[[2,1,1,1],[3,
1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[5,1,4,1],[5,2,6,2,5,1,6,-1,4,1,5,1]]],[[[
2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,2,1,5,1,6,-2,5,
-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,2,-1],[6,1,5,1,6,1,
5,1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,
1],[6,1,5,1,6,1,7,-2,6,-1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,
1],[4,1,5,1],[5,1,4,1,5,-1],[7,1,6,1,7,1,6,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,2,1,6,-2,5,1,6,2]],[[2,1,1,1],[1,1,2,1,3,-1,
2,-1,3,1],[2,1,4,1],[2,2,5,2,2,1,5,-1,4,1,2,1]]],[[[1,1,2,1],[1,1,2,-1,3,-2,2,
1,3,2],[4,2],[1,1,2,1],[2,1,1,1],[7,1,2,1,6,2,7,2,6,-1],[5,1,8,1],[8,1,5,1,9,
-1,8,-1,9,2,8,1]],[[1,1,2,1],[1,1,2,-1,3,-2,2,1,3,2],[4,2],[1,1,2,1],[2,1,1,
1],[7,1,2,1,6,2,7,2,6,-1],[5,1,8,1],[9,1,8,1,9,1,8,1,5,1,8,-1,9,1]]],[[[1,1,2,
1],[2,1,1,1,2,1,3,2,1,1,2,-1,3,1,2,1],[4,2],[1,1,2,1],[2,1,1,1],[7,1,6,-2,2,
-1,7,-1,6,-2],[5,1,8,1],[8,1,5,1,9,-1,8,-1,9,2,8,1]],[[1,1,2,1],[2,1,1,1,2,1,
3,2,1,1,2,-1,3,1,2,1],[4,2],[1,1,2,1],[2,1,1,1],[7,1,6,-2,2,-1,7,-1,6,-2],[5,
1,8,1],[9,1,8,1,9,1,8,1,5,1,8,-1,9,1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[
1,1,2,-1,1,1],[4,1,5,1],[4,1,5,-1],[7,1,5,-1,6,1,4,1,5,-1,7,2,6,1]],[[2,1,1,
1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[5,1,6,2,7,-2,5,
-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1],[5,1,2,1,5,1,4,
1,2,-1,5,-1,6,-2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,
1,2,2,5,1,2,1,5,1,6,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,
4,1],[4,1,2,-1],[7,2,5,1,6,1,7,-1,6,2,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,4,1],[6,1,5,-1,6,2,2,1,6,-1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1],[2,1,4,1,2,2,5,1,6,-1,5,-1,2,1,6,-2]],[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,2,6,2,2,2,5,1]]],[[[2,1,1,
1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,6,2],[7,2,5,1,4,
1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,-1,4,1,5,1,4,
1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,5,3,6,
2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,2,6,2,2,2,5,
1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[
7,1,5,1,6,3,7,2]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,
1],[5,1,4,1],[6,2,7,2,5,2,6,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[2,1,4,1],[6,1,2,2,5,2,6,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[
2,1,5,2,4,1,2,-1,5,-1,2,1,4,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[2,1,5,1],[4,1,2,-1,5,1,6,1,4,1,2,-1,5,-1,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,
2,-1,3,1],[4,1,2,1],[5,1,4,1,2,-1,4,1,2,-1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[2,1,5,2],[6,2,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,-1,4,1,2,1,4,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,
1,2,-1],[6,1,2,-1,5,1,4,1,2,-1,6,2,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[
4,1,2,1],[2,1,4,1],[2,1,5,2,6,-2,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[
4,1,2,1],[2,1,4,1],[5,1,4,1,6,2,5,-1,2,-1,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[2,1,4,1],[4,1,2,1,5,-1,2,-1],[5,1,6,2,5,-1]]],[[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1,5,1,2,1,6,-1,5,-1,6,1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,1,5,1,2,-1,4,1],[6,2,5,1]]],[[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,2,-1],[6,1,5,1,6,1,5,1]],[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,-2,4,1,2,2,4,1]]],[[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[2,1,4,1],[4,1,2,-1,5,-1,4,1,2,1,4,1,5,1]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,2,-1],[5,1,6,1,5,1,6,1]]],[[[2,1,1,1],[3,1,2,
-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[4,1,5,-1],[6,1,4,1,7,1,8,
-2,7,1,6,-1,5,-2]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[5,1,4,
1],[5,1,6,-1,4,1,5,1],[7,2,6,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[2,1,4,1],[2,1,6,-1,5,2,6,-1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,
1,2,1],[2,1,4,1,2,-1,5,-1,2,1,5,1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,
2,-1,1,1],[4,1,5,1],[4,1,5,-1],[6,1,5,1,6,1,4,1,5,-1,7,2,6,1]],[[2,1,1,1],[3,
1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[4,1,5,-1,6,2,4,1,5,-1]]],[[[2,
1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[4,1,5,-2,6,-2,5,1,6,
2,5,1,4,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,
4,1],[5,1,6,1],[8,1,7,2,8,1,6,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[5,2,2,1,4,1,2,-2,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1,2,1,4,
1,2,-1,4,1,2,-1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[5,1,4,
1],[4,1,5,-1,6,-1,4,1,5,1,4,1,6,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,
-1,1,1],[4,1,5,1],[5,1,4,1,5,-1],[6,1,7,1,6,1,7,1]]],[[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[5,1,4,1,6,1,7,-2,6,1,5,-1,2,
-2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,1,5,-1,4,1,2,1],[6,2,5,
1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1],[5,1,2,1,5,1,4,
1,2,-1,6,2,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,2,4,
1,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-2,5,-2,2,1,5,
2,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,1],[
7,1,6,2,7,1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,2,2,5,
-1,2,-1,4,1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,1,4,1,2,-1,
5,1,4,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,5,-1,2,1,4,1,2,
1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,2,4,1,2,-2,5,-1]]],[[[
2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,6,-1,2,-1,6,-1,4,1,
2,-2,5,1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,2,5,
1,6,1,2,1,6,1,5,-1,6,1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[
4,1,5,1],[5,1,4,1,5,2,6,1,4,1,5,-1,6,2]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[
1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[5,1,7,2,5,1,6,2,7,1]]],[[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,2,2,5,1,4,1,2,-1,5,2]],[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,6,2,2,1,5,2,6,1]]],[[[2,1,1,1],[1,1,
2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,1],[4,1,2,-1,5,1,6,1,4,1,2,-1,5,-1,6,
-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,2,-1,5,-2,2,1,5,
1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,5,1,2,1,5,1,
2,1,6,-1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,2,2,1,4,1,
2,-1,5,-2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,
-1],[7,1,5,-1,6,1,7,-1,6,1,2,2,5,1,7,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[
4,1,2,1],[2,1,4,1],[4,1,2,-1],[7,1,5,1,2,1,5,1,6,-2,5,-1,7,-1]],[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,2,2,-1,5,-1,2,1,4,1,6,2,5,
-1]]],[[[1,1,2,1],[1,1,2,-1,3,-2,2,1,3,2],[4,2],[1,1,2,1],[2,1,1,1],[7,1,2,1,
6,2,7,2,6,-1],[5,1,8,1],[8,1,9,4,8,1,5,1]],[[1,1,2,1],[1,1,2,-1,3,-2,2,1,3,
2],[4,2],[1,1,2,1],[2,1,1,1],[7,1,2,1,6,2,7,2,6,-1],[5,1,8,1],[8,-2,9,1,5,1,8,
-1,5,1,8,-1,9,1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,
1],[5,1,4,1],[7,1,6,1,5,1,6,1,5,1,7,-1,6,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,
-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,6,2,5,1,4,1,5,-1,6,-2]]],[[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,6,-1,5,1,6,2,5,-2,2,-1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,1],[6,1,5,2,6,1,2,1,4,1]]],[[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,1,2,1,5,1,2,1,4,1,2,-1,5,
-2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,1,5,-1,4,1,2,1],[5,1,6,
2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,2,4,1,2,-1,5,2,2,
1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,5,-2,2,2,4,1]]],[[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,6,-1,5,2,6,2]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,2,4,1,2,-1,5,1,2,1,5,1]]],[[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,2,6,2,5,-1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,2,4,1,2,-1]]],[[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1],[6,1,2,-1,5,1,4,1,2,-1,6,2,5,1]],[[
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1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,-1,5,-2,6,1,5,
-2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,1],[5,1,6,1,2,1,4,1,
6,1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,1,2,1,5,1,4,1,2,
-1,5,2,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,2],[6,1,2,1,
4,1,6,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,2,-1,5,-1,2,
1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,2,2,1,4,1,5,-2,2,
-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1],[6,1,5,-2,2,-1,
5,-1,6,-2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,6,
-1,5,2,2,1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,
2,6,1,2,1,6,-1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,2,4,1,2,
-1,5,2,2,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,2,2,1,
5,1,2,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,6,
-1,5,2,4,1,6,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,
1,5,1,6,-1,5,1,6,-1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,
2,-2,5,1,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,1,5,-1,
2,-1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,1,4,1,5,
-1,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1,2,1],[5,2,2,1,4,
1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,2],[7,1,6,-2,
7,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,1],[6,2,5,1]]],[[[
2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1,5,-1],[7,1,
6,-2,7,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[6,1,5,
1,4,1,5,-1,6,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,2,
-1],[6,1,5,-2,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,1,2,1,4,1,
2,-1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,1,2,1,5,2,2,1,4,
1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,2,4,1,2,-1,5,-1,2,
-1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,-2],[6,1,4,1,
5,-1,6,1,4,1,5,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,
1],[4,1,5,-1,4,1,5,-1,6,1,5,1,6,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,
2,-2],[5,1,4,1,2,-1,5,1,4,1,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[4,1,2,-1,4,1,2,-1,5,1,2,1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,
2,1],[2,1,4,1],[2,1,5,3,6,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,
1,2,1,4,1,2,-1,5,1,2,1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[
5,2,2,1,4,1,5,-1,2,2,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,2,
5,1,4,1,2,-1,5,-1,2,-1]]],[[[1,1,2,1],[1,1,2,-1,3,-2,2,1,3,2],[4,2],[1,1,2,
1],[2,1,1,1],[7,1,2,1,6,2,7,2,6,-1],[8,1,5,1],[9,1,8,-1,5,1],[10,1,9,1,10,1,9,
1]],[[1,1,2,1],[1,1,2,-1,3,-2,2,1,3,2],[4,2],[1,1,2,1],[2,1,1,1],[7,1,2,1,6,2,
7,2,6,-1],[5,1,8,1],[8,1,5,1],[10,2,9,-2,8,-2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[7,1,6,-1,5,-1,2,-1,5,2,6,1,7,-1]],[[2,
1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,2,4,1,2,1,5,-2,2,-1]],[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,-1,5,-2,2,1,4,1,5,-1,2,-2,6,
-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,-1,5,-2,6,
1,2,2,4,1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,-1],[6,1,
5,-2,2,-1,4,1,2,1,5,2,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,
1,4,1],[5,1,4,1,6,1,2,1,4,1,6,1,2,1,5,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[6,1,5,-2,2,-1,7,2,6,-2,2,-1]],[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,2,-2,4,1,2,2,5,-1]],[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,2,6,1,2,1,6,1,5,1,6,-1,4,1,2,-1]],[[
2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,-1,5,-2,2,1,4,1,5,
-1,2,-2,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,
-2,6,-1,5,2,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,
4,1,6,1,2,1,4,1,6,1,2,1,5,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[
2,1,4,1],[4,1,2,-1],[6,1,5,-2,2,-1,7,2,6,-2,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,6,-1,5,-1,6,1,2,1,4,1,6,1,5,1,2,1,5,1]],[[2,
1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,5,3,4,1,6,1,2,1,4,
1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,-1,5,-2,6,
-1,5,-1,2,-1,5,-1,2,1,4,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,
1,4,1],[4,1,2,-1],[7,1,5,-2,2,-1,6,-2,5,-2,7,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,6,3,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[4,1,2,1],[2,1,4,1],[6,1,5,2,2,2,4,1,6,2,2,-1,5,-1]],[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,2,1,5,1,6,1,5,2,2,1,6,-1,4,1,2,
-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[7,1,
5,-1,2,-1,5,-1,6,-1,7,1,2,-1,5,1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,
1,2,1],[4,1,2,-1],[6,1,5,1,2,1,5,3,2,1,4,1,2,-1,6,1]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,2,6,1,2,1,6,1,5,1,6,-1,4,1,2,-1]],[[2,
1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,6,-1,2,-1,6,-1,5,1,2,
1,6,-2,4,1,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,
1,2,-1,5,1,6,2,2,2,5,1,2,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,
1],[4,1,2,-1],[4,1,2,1,5,-2],[7,1,6,1,7,1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1,6,-1,4,1,5,-1,6,1,5,-1,2,-1,5,-1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1,6,-1,5,1,6,-3,5,
-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,1],[6,1,
5,-1,7,-1,5,1,7,1,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,2,
-2,4,1,2,2,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,
2,-2,6,-1,5,2,6,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[
5,1,6,3,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1,2,-1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1,5,1,2,1,6,-1,5,-1,6,
1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,6,1,5,
-1,6,1,5,-2,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,1,5,-1,2,
-1,4,1,5,3]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,2,5,1,4,1,2,-1,5,
2,2,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,2,6,1,
2,1,6,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,2],[5,1,2,1,4,1,5,1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,2,2,5,-1,2,-1,4,1,2,-1]]],[[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,6,1,5,-1,6,1,5,-2,2,
-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,5,3,6,
2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,2,5,1,4,1,2,-1,5,2,2,
1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-2,5,1,6,
-1,5,1,4,1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,
2,1,5,2,6,-1,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,-1,4,1,2,1]]],[[[2,
1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1],[6,1,5,1,2,1,6,1,5,1,2,1,
5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,2,2,5,-1,2,-1,4,1,2,
-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,1,5,1,2,-1,4,1,5,2,2,
2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,2,5,-1,4,1,2,1,5,-1,2,
-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,5,-2,2,2,4,1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,2,2,5,-1,2,-1,4,1,2,-1]]],[[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[7,1,6,-2,5,-1,7,-1,
5,-2,2,-1,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,-1],[5,1,
2,-1,4,1,5,1],[7,1,6,-1,7,1,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[2,1,4,1],[5,2,2,1,6,-1,4,1,2,1,6,-1,5,-2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[4,1,2,1],[2,1,4,1],[2,2],[6,1,5,-2,7,-1,6,-1,5,-1,7,-1]],[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,6,1,5,-1,6,1,5,-2,2,
-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,2,1,6,-1,5,
2,2,1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,2],[5,1,2,1,4,1,5,1]],[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,1,5,1,2,-1,4,1,5,2,2,2]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,-2,4,1,2,2,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[2,1,4,1],[4,1,2,-1,5,-1,4,1,2,1,4,1,5,1]]],[[[2,1,1,1],[3,1,2,-1,1,1,
3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[6,1,5,1,7,-1,6,2,5,1,7,1]],[[2,
1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[5,2],[6,1,5,1,4,1,6,1]],[[2,1,
1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[5,1,4,1],[5,1,6,1,5,-1,4,1,6,2,5,
2]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,-2,4,1,5,2,4,
1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[5,1,4,1],[4,1,5,-1,6,
-1,4,1,5,1,4,1,6,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,
1],[4,1,2,-1],[6,1,5,-2,2,-1,7,2,6,-2,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,-1,4,1,2,-1,4,1,2,-1,5,2,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[2,1,4,1],[4,1,2,-1],[5,1,2,1,5,1,2,-1,4,1,6,-1,5,1,2,2,6,1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,5,3,4,1,6,1,2,1,4,
1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,2,2,1,6,1,2,1,6,
1,5,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[
7,1,5,-1,6,1,7,-2,6,2,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,
1,2,-1,5,-1,2,-1,4,1,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[
2,1,4,1],[5,1,4,1,6,1,2,1,4,1,6,1,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,4,1],[6,1,2,1,5,3,4,1,6,1,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,2,1,5,1,6,-1,5,2,6,1]]],[[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,2,5,-1,4,1,2,1,5,-1,2,-1]],[[2,1,1,1],[1,1,
2,1,3,-1,2,-1,3,1],[4,1,2,-2,4,1,2,2,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[2,1,4,1],[5,1,2,2,5,-1,2,-1,4,1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[2,1,4,1],[4,1,2,-1,5,-1,4,1,2,1,4,1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[4,1,2,1],[2,1,4,1],[5,1,4,1,6,1,2,1,4,1,6,1,2,1,5,2]],[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[4,1,2,-2,4,1,2,2,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[
4,1,2,1],[2,1,4,1],[5,1,2,1,5,1,6,-2,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,4,1],[6,1,2,1,5,3,4,1,6,1,2,1,4,1]]],[[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,1],[6,1,5,-1,7,-1,5,1,7,1,6,-1]],[[2,
1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,1,5,1,2,-1,4,1,5,2,2,2]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,2,2,5,-1,2,-1,4,1,2,-1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-2,5,1,6,-1,5,1,4,1,6,
1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1],[2,1,5,1],[6,1,
5,-1,7,-1,6,1,5,1,7,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,-1,4,1,2,1,
4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1,2,-1]],[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,2,2,1,6,1,2,1,6,1,5,-1]]],[[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,4,1,6,1,2,1,4,1,6,1,2,1,5,
2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,2,6,1,2,1,6,
2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,2],[5,1,2,1,4,1,5,1]],[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1,6,-1,5,-3,2,-1,6,-1]]],[[[
2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[4,1,5,-1],[5,1,6,
1],[7,1,6,-1,8,-1,7,1,6,1,8,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,
1,1],[4,1,5,-1,4,1,5,1,4,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,
1],[5,1,4,1,5,-1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,
1],[5,1,4,1],[6,2,5,1,7,1,5,1,7,1,6,-1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,
-1],[1,1,2,-1,1,1],[5,1,4,1],[5,2,6,-1,4,1,5,1,6,-1,5,-1]],[[2,1,1,1],[3,1,2,
-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,-1,4,1,5,1,4,1]],[[2,1,1,1],[3,1,2,-1,
1,1,3,1,2,-1],[1,1,2,-1,1,1],[5,1,4,1],[6,1,5,2,6,-1,5,-1,4,1,5,-1]],[[2,1,1,
1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[5,2],[6,1,5,1,4,1,6,1]]],[[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,2,5,-1,4,1,2,1,5,-1,2,-1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,-1,4,1,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[2,1,4,1],[5,1,2,2,5,-1,2,-1,4,1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[2,2],[5,1,2,1,4,1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[
2,1,4,1],[5,1,4,1,6,1,2,1,4,1,6,1,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,4,1],[2,1,5,2],[6,1,7,1,6,-1,7,-1]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-2,6,-1,5,2,6,1]],[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[2,1,4,1],[5,1,2,-2,4,1,2,2,5,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,
2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,2,1,6,-1,5,2,2,1,6,1]],[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,1],[2,1,4,1,6,1,5,2,6,1]],[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,4,1,2,-1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[2,1,4,1],[2,2,5,-1,4,1,2,1,5,-1,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-2,6,-1,5,2,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,
2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,2,6,2,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[2,1,4,1],[5,1,2,-2,4,1,2,2,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[2,1,4,1,2,1,4,1,2,-1,4,1,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,
2,1],[2,1,4,1],[4,1,2,-2,5,1,6,-1,5,1,4,1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,5,4,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[4,1,5,-1,2,1,4,1,2,-1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[
4,1,2,1],[2,1,4,1,5,1,2,1,5,1,4,1,2,-1,5,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[4,1,2,1],[2,1,4,1],[5,1,6,3,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[5,1,4,1,5,-1,2,1,4,1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[
4,1,2,1],[4,1,2,-2,5,-2,2,1,4,1,5,-2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,
1,4,1],[2,2,5,-1,4,1,2,1,5,-1,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,
1,2,1],[2,1,4,1],[6,1,2,1,6,1,5,-1,6,1,5,-2,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[2,1,4,1],[5,2,2,1,6,1,2,1,6,1,5,-1]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,1,6,-1,5,1,6,-1,2,-1]],[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,6,1,5,1,6,-1,5,2,2,1]]],[[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,5,1,2,1,5,1,4,1,2,-1,5,2]],[[
2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,2,5,-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,-2,4,1,2,2,4,1]],[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,2,1,6,-1,5,2,2,1,6,1]]],[[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[7,1,5,-1,2,-1,5,
-1,6,-1,7,1,2,-1,5,1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,
4,1,2,1,5,4,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,1,
4,1,5,-1,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1],[6,
1,5,-2,2,-1,6,1,4,1,2,-1,4,1,5,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,
2,1],[2,1,4,1],[6,1,2,-1,5,-2,6,1,2,2,4,1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[2,1,4,1],[4,1,2,-1],[5,1,2,-1,4,1,5,1],[7,1,6,-1,7,1,6,-1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,2,2,5,-1,2,-1,4,1,2,-1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1,6,-3,5,-2,2,-1]]],[[[
2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[6,1,5,-2,2,
-1,7,2,6,-2,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,1,5,-1,4,1,
2,1,5,1],[6,2,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,
1],[6,1,2,1,5,3,4,1,6,1,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,
1],[5,1,2,1,5,1,2,-1,4,1],[4,1,2,-1,6,-2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[7,1,6,-1,5,1,6,-1,2,-1,7,1,5,2,2,1,6,1]],[[
2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,4,1,6,1,2,1,4,1,6,1,
2,2,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,1,5,1,2,-1,4,1,5,2,
2,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,6,-1,5,
1,2,1,5,2,6,1,2,1,4,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,
1],[2,1,6,-1],[7,1,5,-1,6,2,5,-1,7,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,
1,2,1],[2,1,4,1],[5,1,2,1,6,-1,5,2,2,1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,4,1],[5,1,6,3,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[
4,1,2,1],[2,1,4,1],[5,2,2,1,6,-1,5,2,6,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[7,1,5,-2,2,-1,6,-2,5,-2,7,-1]],[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,5,2,2,2,4,1,6,2,2,-1,5,-1]],[[
2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,2,1,5,1,6,1,5,2,2,1,
6,-1,4,1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,6,
-1,5,1,6,1,2,1,4,1,6,1,2,1,5,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[2,1,4,1],[4,1,2,-1],[5,1,6,-2,7,2,6,-1,5,-1,2,-1,5,-1]],[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,-1],[4,1,2,1,5,-2],[7,1,6,1,7,1,6,1]],[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,4,1,6,1,2,1,4,1,6,1,2,2,
5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,5,3,4,1,
6,1,2,1,4,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,6,
1],[6,1,7,1,5,-1,6,-1,5,1,7,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[2,1,4,1],[5,2,6,2,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[
2,2,5,2,2,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,
1,6,1,2,1,4,1,5,-1,2,-2,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[
2,1,4,1],[6,1,2,-2,6,-1,5,-2,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[2,1,4,1],[5,1,4,1,6,1,2,1,4,1,6,1,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-2,6,-1,5,2,6,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,
2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-2,5,1,6,-1,5,1,6,1]],[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,5,4,6,1]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[2,-1,4,1,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,
1,4,1,5,1,2,1,5,1,4,1,2,-1,5,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[2,1,4,1],[5,1,4,1,6,1,2,1,4,1,6,1,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[2,1,4,1],[4,1,2,-1],[5,2,2,-1,4,1],[7,1,6,-1,7,1,6,-1]],[[2,1,1,1],[1,1,
2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-2,6,-1,5,2,6,1]],[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,3,6,2,2,1,4,1]]],[[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1,6,-1,4,1,5,-2,2,-2,6,
-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,1,2,1,4,1,2,-1,5,-1]],[[
2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,3,6,2,2,1,4,1]],[[
2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,2,6,2,2,1,5,2]]],[[[2,
1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,4,1,6,1,2,1,4,1,6,1,2,
1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,2,2,4,1,2,2,4,1,5,
2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,1,2,1,4,1,2,-1,5,-1]],[[2,
1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-2,6,-1,5,2,6,
1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1,5,-1,6,
2,5,-1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,2,6,2,
2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,2,4,1,2,1,5,-2,2,
-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,2,1,5,-1,4,1,2,1,5,1,2,
2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,2,6,1,2,1,
6,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,4,1,2,1,5,-1,2,-1]],[[
2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,5,1,2,1,5,1,4,1,2,-1,5,1,
2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,2,5,1,4,1,2,-1,5,2,2,
1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,4,1,6,1,2,1,
4,1,6,1,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,2,-1,
5,1,4,1,2,-2,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,-1,4,1,2,1,4,
1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,-4,2,-1,4,1,2,
-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[5,1,
2,1,6,-2,7,3,2,-1,5,1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,
2,-1],[5,1,2,-1,4,1,2,-2,6,2,5,-2,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[
4,1,2,1],[2,1,4,1,5,1,2,1,5,1,4,1,2,-1,5,1,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[7,1,6,-1,5,1,6,1,2,-1,7,1,5,1,2,
1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,4,1,6,1,2,1,
4,1,6,1,2,2,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,1,5,1,2,-1,
4,1,5,2,2,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-2,5,-2,2,1,
5,2,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,
-1,6,-1,5,-3,2,-1,6,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,
2,-1],[5,1,2,1,5,1,2,1,4,1],[6,1,7,-1,6,1,7,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[2,1,4,1],[4,1,2,-1],[4,1,2,1,5,-2],[7,1,6,1,7,1,6,1]],[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,3,6,2,2,1,4,1]],[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,2,1,5,1,6,-1,5,2,6,1]]],[[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,-1],[5,1,2,-1,4,1,2,-2,6,2,5,-2,
2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,6,2,2,1,4,
1,6,1,2,-1,5,-2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,
2,1,5,3,4,1,6,1,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,
1],[5,1,4,1,6,1,2,1,4,1,6,1,2,1,5,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,
1,2,1],[4,1,2,-1],[5,1,2,1],[6,1,7,1,6,1,5,1,7,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[5,2,4,1,2,-1,4,1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,4,1],[2,1,5,1],[7,1,6,2,7,1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,6,-1,2,-1,6,3,2,-1,5,-1]],[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,1],[7,1,6,2,7,1,5,1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,6,-1,5,2,6,-1,2,-1]]],[[[
2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[6,1,2,2,5,1,
7,1,5,1,6,2,7,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,-1],[5,
1,2,-1,4,1,5,1],[7,1,6,-1,7,1,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,
2,1],[2,1,4,1],[5,1,4,1,6,1,2,1,4,1,6,1,2,1,5,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,
2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,2,6,1,2,1,6,2]],[[2,1,1,1],[1,1,2,1,3,-1,
2,-1,3,1],[4,1,2,1],[2,1,4,1,5,-2,2,-1,4,1,2,-1,5,1]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[2,2,5,1,4,1,2,-1,5,2,2,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,
2,-1,3,1],[4,1,2,1],[4,1,2,-1],[2,1,4,1,2,2,5,1,6,-1,5,-1,2,1,6,-2]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,2,6,2,2,1,5,2]],[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,1,6,1,2,1,4,1,5,-1,2,-2,6,
-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,6,3,2,1,5,
2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,5,4,6,
1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,-1,4,1,2,1]]],[[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,4,1,6,1,2,1,4,1,6,1,2,1,5,2]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,-1],[5,2,2,-1,4,1],[7,1,6,-1,7,1,
6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,1,2,1,4,1,2,-1,5,
-1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[
6,1,7,3,5,1,6,2]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,
1],[5,1,4,1],[7,1,5,1,6,4,7,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,
1,1],[5,-1,4,1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,
1],[6,1,2,1,5,3,4,1,6,1,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,
1],[4,1,2,1,4,1,5,1,2,1,4,1,5,1,2,-2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,
1,2,1],[4,1,2,-2,5,1,2,1,4,1,2,-1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[
4,1,2,1],[4,1,2,-1],[2,1,4,1,2,2,5,1,6,-1,5,-1,2,1,6,-2]],[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,4,1,6,1,2,1,4,1,6,1,2,1,5,2]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,2,1,5,1,6,-1,5,2,6,
1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,4,1,6,1,2,1,
4,1,6,1,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,2,2,-2,4,1,
5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,6,1,5,
-1,6,1,5,-2,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[
6,1,2,1,6,1,5,-1,6,1,5,-2,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[2,1,4,1,5,-2,2,-1,4,1,2,-1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,
2,1],[2,1,4,1],[5,2,6,2,2,1,5,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[2,1,4,1],[4,1,2,-1],[7,1,5,-1,6,1,7,-1,6,1,5,1,2,1,5,1,7,-1]],[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,2,1,5,4,2,1]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,4,1,6,1,2,1,4,1,2,1,5,2,6,1]]],[[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,6,3,2,1,5,2]],[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,2,6,-2,2,-1]],[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1,5,1,2,1,6,-1,5,-1,6,
1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,6,3,2,1,5,
2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,1,4,1,2,-2,5,1,4,1]],[[2,
1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,-4,2,-1,4,1,2,-1]]],[[[2,
1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[5,1,4,1],[4,1,5,-1,6,-1,4,1,5,
1,4,1,6,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[5,2,4,1,5,-2,4,
1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[5,1,4,1],[6,1,5,-1,4,1,
6,1,5,-1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,
4,1],[4,1,5,-2,7,-1,6,2,7,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,
1],[4,1,5,1],[5,1,4,1],[7,1,6,-1,5,-1,6,1,5,1,7,-1]],[[2,1,1,1],[3,1,2,-1,1,1,
3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[6,1,5,1,4,1,5,-1,6,-1]]],[[[2,1,1,1],[1,1,
2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,2,5,-1,4,1,2,1,5,-1,2,-1]],[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[2,1,4,1,2,2,4,1,2,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,
1,2,1],[4,1,2,-1,5,2,4,1,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,
1],[4,1,2,-1,5,-1,4,1,2,1,4,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,2,4,
1,2,-2,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,2,-1,4,1,5,1,2,
-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-2,6,-1,
5,2,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,5,-1,2,
-1,5,1,2,1,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,1,2,1,4,1,2,
-1,5,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,5,1,2,1,5,1,
4,1,2,-1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,2,2,2,
5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,6,1,5,-2,2,
-1,6,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,1],[4,1,2,-1,
5,1,6,1,4,1,2,-1,5,-1,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,
2,5,1,4,1,2,-1,5,1,2,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,
1,4,1,5,1,2,1,5,1,4,1,2,-1,5,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[4,1,2,-1],[2,1,5,1],[6,1,5,-1,7,-1,6,1,5,1,7,1]],[[2,1,1,1],[1,1,2,1,3,-1,
2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,6,1,5,1,6,-1,5,2,2,1]],[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,2,2,1,6,1,2,1,6,1,5,-1]]],[[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-2,5,-2,2,1,5,2,2,1,4,1]],[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,1],[2,1,4,1,6,1,5,2,6,1]],[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,1,5,1,2,-1,4,1,5,2,2,2]]],[[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,2,5,1,2,1,4,1,6,1,2,1,6,1,5,
-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,2,1,5,1,6,-2,
5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,-2,4,1,2,2,4,1]],[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,1],[6,1,7,1,5,1,4,1,2,-1,6,
-1,7,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,2,2,4,1,2,2,4,1,
5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,1,2,1,4,1,2,-1,5,-1]],[[
2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,2,1,5,1,6,-1,5,2,6,
1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,2,6,2,2,1,5,
2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,4,1,6,1,2,1,
4,1,6,1,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,5,-1,2,1,
4,1,2,-1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,-1],[2,1,5,
2,6,-2,2,-2,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,
1,2,1,5,3,4,1,6,1,2,1,4,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,
1,4,1,5,1,2,1,5,1,4,1,2,-1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[2,1,4,1],[5,1,2,1,5,1,6,-2,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,
2,1],[2,1,4,1],[6,1,2,1,5,3,6,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[5,2,2,1,4,1,2,-1,5,-2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,
1,4,1],[4,1,2,-1],[2,2,6,-1,7,2,5,1,2,1,5,1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,5,4,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[4,1,2,1],[4,1,2,-1],[2,1,4,1,5,1,2,1,5,1],[6,1,7,-1,6,1,7,-1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-2,5,1,6,-1,5,1,4,1,6,
1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[7,1,
6,-1,5,-1,2,-1,5,2,6,1,7,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,
1,4,1],[5,1,4,1,6,1,2,1,4,1,6,1,2,2,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[
2,2],[5,1,2,1,4,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,
1],[5,1,4,1,6,1,2,1,4,1,6,1,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,
4,1],[2,2,4,1,2,1,5,-2,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[
2,1,4,1],[4,1,2,-1],[6,1,2,2,5,1,7,1,5,1,6,2,7,-1]],[[2,1,1,1],[1,1,2,1,3,-1,
2,-1,3,1],[2,1,4,1],[4,1,2,-1],[5,1,2,-1,4,1,5,1],[7,1,6,-1,7,1,6,-1]],[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1,2,1,4,1,2,-1,4,1,2,-1]]],[[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-2,6,-1,5,2,6,1]],[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,1,4,1,2,-1,4,1,2,-1,5,1]],[[2,1,1,1],[1,1,
2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,2,2,5,-1,2,-1,4,1,2,-1]]],[[[2,1,1,1],[1,1,
2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,6,2,2,1,5,2,6,1]],[[2,1,1,1],[1,1,
2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,1,4,1,2,-1,4,1,2,-1,5,1]],[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,2,4,1,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,
2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,6,3,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,5,4,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[4,1,2,1],[5,1,4,1,2,-1,4,1,2,-1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,4,1],[6,1,2,2,5,1,2,1,4,1,6,1,2,1,6,1,5,-1]],[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,6,3,2,1,5,2]],[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,2,1,5,1,6,-1,5,2,6,1]]],[[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[7,1,5,-1,6,1,7,-2,
6,2,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,2,4,1,2,-1,5,
-1,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1],[5,1,2,1,
5,1,2,1,4,1,5,-1,6,-2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,
-1],[2,1,4,1,2,2,5,1,6,-1,5,-1,2,1,6,-2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[
4,1,2,1],[2,1,4,1],[5,1,4,1,6,1,2,1,4,1,6,1,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,2,2,1,6,-1,4,1,2,-1,5,1,2,1,5,1,6,1]]],[[[
2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,2,5,1,2,1,4,1,6,1,
2,1,6,1,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,6,
3,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,2,1,6,
-1,5,2,2,1,6,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,
1,6,3,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,
1,5,4,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,1,5,-1,2,-1,5,
1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,6,3,2,1,5,
2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,-1,4,1,2,1,4,1]],[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,5,4,6,1]]],[[[2,1,1,1],[3,1,
2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[5,1,6,1,7,-1,6,1,7,-1,
5,-1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[5,1,4,1,5,2,4,1,5,
2]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[4,1,5,-1,6,2,
4,1,5,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,2],[5,1,2,1,4,1,5,1]],[[2,
1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[4,1,2,-1,4,1,2,1,4,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[
2,1,5,1],[2,1,4,1,6,1,5,2,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,-2,
4,1,2,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,4,1,2,-1,5,
2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,1,6,-1,5,
1,6,-1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1,2,2,4,1,2,2]],[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,2,4,1,2,-1]]],[[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,1,6,-1,5,1,6,-1,2,-1]],[[2,
1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,2],[5,1,2,1,4,1,5,1]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,2,4,1,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,5,-2,2,-1,5,2,2,1,6,-1]],[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1],[6,1,5,1,2,1,5,1,6,1,5,1,2,1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,1],[6,1,5,2,6,1,2,1,4,1]]],[[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,1],[7,1,6,1,7,1,5,1,6,
-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,1],[6,1,5,2,6,1,2,1,
4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,2,-2,4,1,2,2,5,
-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,6,1,5,-1,6,
1,5,2,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,2,6,2,2,
1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,2,6,-2,
2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,1,5,1,2,-1,4,1,5,2,2,
2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,1],[2,1,4,1,6,1,5,2,6,
1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,4,1,2,-1,5,2]]],[[[
2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,1,4,1,5,1,2,1,4,1,5,1,2,
-2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,5,2,6,-1,
5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,2,5,3,2,-1,4,1,2,1,4,
1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,5,-1,2,-2,5,
1,2,1,5,1,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,1],[5,1,
6,1,2,1,4,1,6,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,1,5,1,2,
-1,4,1],[6,2,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[
4,1,2,-1],[2,2,6,-1,7,2,5,1,2,1,5,1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[
4,1,2,1],[2,1,4,1],[4,1,2,-1],[6,1,5,-1,2,-2,7,2,6,-2,5,-1]],[[2,1,1,1],[1,1,
2,1,3,-1,2,-1,3,1],[2,-1,4,1,2,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,
2,1],[2,1,4,1],[6,1,5,1,2,1,5,2,4,1,6,1,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[5,1,4,1,2,1,4,1,2,-1,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[4,1,2,1],[2,1,4,1],[2,1,5,1],[6,1,7,-1,5,-1,6,1,7,1,5,1]]],[[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,5,-1,2,-2,5,1,2,1,5,1,6,
-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,1,5,1,2,-1,4,1],[6,2,5,
1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,2,1,5,1,6,-2,
5,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,6,2,2,1,
5,2,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,1,4,1,2,-1,4,1,2,-1,
5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,1,5,-1,2,-1,4,1],[6,1,5,
1,6,1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,
-1,5,-1,6,2,5,-1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,
1],[6,1,2,1,5,3,6,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,
4,1,2,-1,5,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,
2,-1],[6,1,2,2,5,1,7,1,5,1,6,2,7,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,
4,1],[4,1,2,-1],[5,1,2,-1,4,1,5,1],[7,1,6,-1,7,1,6,-1]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,2,6,2,2,1,5,2]]],[[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[2,1,4,1],[4,1,2,-1],[5,2,2,-1,4,1],[7,1,6,-1,7,1,6,-1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1],[6,1,4,1,2,-1,5,-2,2,-1,5,-1,
6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,2,6,3,2,
1,4,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,-1],[5,1,2,-1,4,
1,2,-2,6,2,5,-2,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,
2,1,5,4,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,6,
-1,5,-1,2,1,6,1,5,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,
1],[5,1,4,1,6,1,2,1,4,1,6,1,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,
4,1],[5,1,2,2,4,1,2,2,4,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[
4,1,2,-1,5,-1,2,-1,4,1,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[5,1,2,1,4,1,2,-1,5,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,
1,4,1],[5,1,4,1,6,1,2,1,4,1,6,1,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[
4,1,2,1],[2,1,4,1],[4,1,2,-1,5,1,2,1,5,1,6,3]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[4,1,2,1],[2,1,4,1],[2,1,5,2,6,1,2,1,6,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,6,3,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[4,1,2,1],[4,1,5,-1,2,1,4,1,2,-1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[4,1,2,-1,5,-4,2,-1,4,1,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[7,1,5,-1,6,1,7,-2,6,2,5,-1]],[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,-1,5,-1,2,-1,4,1,2,1,5,2]],[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,4,1,6,1,2,1,4,1,6,1,2,1,5,
2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,3,6,2,2,1,4,
1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,2,1,5,1,6,-1,
5,2,6,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,6,3,2,
1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,2,-1],[6,1,5,-1,
6,1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,2,6,2,2,
1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,2,6,-1,5,1,
6,-1,2,-1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,
1,4,1],[6,1,7,3,5,1,6,2]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[
4,1,5,1],[5,1,4,1,5,-1],[7,1,6,-1,7,1,6,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,4,1],[6,1,2,1,5,2,6,-1,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[4,1,2,1],[2,-2,5,2]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,
1],[4,1,5,1],[4,1,5,-1],[7,1,6,1,5,1,6,1,7,1,6,1,5,1]],[[2,1,1,1],[3,1,2,-1,1,
1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[7,1,5,2,6,1,5,1,6,1,7,
-1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[4,1,5,
-1],[5,1,6,1],[7,1,6,-1,8,-1,7,1,6,1,8,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,
-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[6,1,7,-2,6,1,7,1,5,-1]]],[[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1],[2,1,5,1],[6,1,5,-1,7,-1,6,1,5,1,
7,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,6,-2,5,1,6,
1,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1],[6,1,5,1,2,
1,5,1,6,1,5,1,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,
1,2,2,5,1,2,1,5,1,6,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,
4,1],[6,1,2,1,5,4,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,
-2,5,1,4,1,2,-1,5,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,
2,-1,5,1,4,1,2,-2,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,
1],[6,1,5,2,6,1,2,1,4,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,
2,2,5,-1,2,-1,4,1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,
-1,5,2,2,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,2,4,1,2,1,5,
-2,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,6,
1,5,-1,6,1,5,-2,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,2,-2,
4,1,2,2,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,
-2,6,-1,5,2,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,2,
6,2,2,1,5,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,-1],[5,1,
2,-1,4,1,2,-2,6,2,5,-2,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,
1,4,1],[2,1,5,2,6,-1,5,1,6,-2,4,1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[
4,1,2,1],[2,1,4,1],[6,1,2,1,5,4,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,
2,1],[2,1,4,1],[4,1,2,-1],[7,1,5,1,6,-2,7,1,5,2,2,1]]],[[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,2,5,1,6,1,2,1,4,1,2,1,5,2,6,-1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,1,4,1,2,-1,4,1,2,-1,5,1]],[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,1,6,1,2,1,4,1,5,-1,2,-2,6,
-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,4,1,6,1,2,1,
4,1,6,1,2,1,5,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,
1,2,-1],[7,1,5,1,2,1,5,1,6,-2,5,-1,7,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[
2,1,4,1],[4,1,2,-1],[5,2,2,-1,4,1],[7,1,6,-1,7,1,6,-1]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,4,1,6,1,2,1,4,1,6,1,2,1,5,2]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,3,6,2,2,1,4,1]]],[[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[2,2,6,-1,7,2,5,1,
2,1,5,1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,
5,4,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-2,5,
1,6,-1,5,1,4,1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,5,
1,2,1,5,1,4,1,2,-1,5,1,2,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[
2,1,4,1],[4,1,2,-1],[2,2,6,-1,7,2,5,1,2,1,5,1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,
2,-1,3,1],[4,1,2,1],[2,1,4,1,5,1,2,1,5,1,4,1,2,-1,5,1,2,1]],[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,5,-1,2,1,4,1,2,-1,5,1]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[2,1,4,1],[4,1,2,-1],[5,1,2,-1,4,1,2,-2,6,2,5,-2,2,-1]]],[[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-2,6,-1,5,2,6,1]],[[2,
1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,2,6,1,2,1,6,-1]],[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,2,2,1,5,2]]],[[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,5,1,2,1,5,1,4,1,2,-1,5,2]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,3,4,1,2,-2]],[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,4,1,6,3,2,-1,5,-1]]],[[[2,1,1,1],[1,1,
2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,2,5,1,6,1,2,1,4,1,2,1,5,2,6,-1]],[[
2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,-1,5,-2,6,1,2,2,4,
1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,2,6,3,
2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,-1],[6,1,5,-2,2,
-1,4,1,2,1,5,2,6,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,
1],[6,1,2,1,5,3,4,1,6,1,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[2,1,4,1],[5,1,4,1,6,2,5,-1,2,-1,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,-2,4,1,2,2,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,
2,2,4,1,2,2,4,1,5,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,
1],[6,1,5,-1,2,-2,5,1,2,1,5,1,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,
2,1],[2,1,5,1],[5,1,6,1,2,1,4,1,6,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[
4,1,2,1],[4,1,2,-1,5,1,4,1,5,-1,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[
4,1,2,1],[2,1,4,1],[5,1,4,1,6,2,5,-1,2,-1,5,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[2,2,6,-1,7,2,5,1,2,1,5,1,6,1]],[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,5,1,2,1,5,1,4,1,2,-1,5,2]],[[
2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,-1,4,1,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[2,1,4,1],[4,1,2,-1],[5,1,2,-1,4,1,2,-2,6,2,5,-2,2,-1]]],[[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[7,2,5,1,6,2,5,-2,2,
-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,2,6,2,2,1,5,
2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,1,6,1,2,1,4,
1,5,-1,2,-2,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,
1,2,-2,6,-1,5,2,6,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,
1],[4,1,2,-1],[2,2,6,-1,7,2,5,1,2,1,5,1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,4,1],[6,1,2,1,5,4,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[
4,1,2,1],[4,1,5,-1,2,1,4,1,2,-1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,
2,1],[2,1,4,1,5,1,2,1,5,1,4,1,2,-1,5,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,4,1],[4,1,2,-2,6,-1,5,2,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[2,1,4,1],[4,1,2,-1,5,-1,4,1,2,1,4,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[4,1,2,1],[2,1,4,1],[2,1,6,-1,5,2,6,-1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[5,1,2,1,4,1,2,-1,5,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,4,1],[6,1,2,1,5,3,4,1,6,1,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,2,6,1,2,1,6,2]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[2,-1,4,1,2,-1,4,1,2,-1,5,2,2,1]],[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,5,1,2,1,5,1,4,1,2,-1,5,2]]],[[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,5,3,4,1,6,1,2,1,4,1]],[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1,2,1,4,1,2,-1,4,1,2,-1]],[[2,1,1,1],[1,1,
2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,2,1,5,1,6,-1,5,2,6,1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,2,6,2,2,1,5,2]]],[[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-2,5,-2,2,1,5,2,2,1,4,1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,5,3,6,2]],[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[2,2],[5,1,2,1,4,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[2,1,4,1],[2,2,5,-1,4,1,2,1,5,-1,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[4,1,2,1],[2,1,4,1],[5,1,4,1,6,1,2,1,4,1,6,1,2,1,5,2]],[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,2,2,4,1,2,2,4,1,5,2]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-2,6,-1,5,2,6,1]],[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-2,5,-2,2,1,4,1,5,-2]]],[[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[7,2,5,1,6,1,7,-1,6,2,5,-1]],[[
2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,2,1,5,1,6,-1,5,2,6,
1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,4,1,6,1,2,1,4,
1,6,1,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,
-2,5,1,6,-1,5,1,4,1,6,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,
2,-1],[5,1,2,-1,4,1,2,-2,6,2,5,-2,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[
4,1,2,1],[2,1,5,1],[6,1,5,2,6,1,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[
2,1,4,1],[5,1,2,-2,4,1,2,2,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[2,1,4,1],[6,1,2,1,5,3,4,1,6,1,2,1,4,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,4,1],[5,1,4,1,6,1,2,1,4,1,6,1,2,1,5,2]],[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[4,1,2,-1],[2,2,4,1,2,-1,5,3,2,-1,4,1,2,1]],[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1,5,-1,6,2,5,-1,6,1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,6,1,5,-1,6,1,5,-2,2,
-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,2,5,1,6,1,2,
-1,5,-2,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,
1,5,3,6,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,-2,5,2]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-2,5,1,2,1,4,1,2,-1,5,1]]],[[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,6,-1],[7,1,5,-1,6,2,5,
-1,7,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-2,6,
-1,5,2,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,6,3,
2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-2,5,-2,2,1,4,1,
5,-2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[7,
1,6,-1,5,-1,2,-1,7,1,6,-1,5,-1,2,-2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,
2,1],[2,1,4,1],[5,2,6,2,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[2,1,4,1],[4,1,2,-1],[2,1,5,2,6,-2,5,-1,7,-2]],[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,1],[6,1,7,1,5,1,4,1,2,-1,6,-1,7,-1]]],[[[2,
1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[2,2,6,-1,7,2,5,
1,2,1,5,1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1],[2,1,
4,1,5,1,2,1,5,1],[6,1,7,-1,6,1,7,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,
-1,4,1,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,-1],[5,1,2,
-1,4,1,2,-2,6,2,5,-2,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,
1,4,1],[4,1,2,-1],[7,1,5,1,2,1,5,1,6,-2,5,-1,7,-1]],[[2,1,1,1],[1,1,2,1,3,-1,
2,-1,3,1],[2,1,4,1],[4,1,2,-1],[5,2,2,-1,4,1],[7,1,6,-1,7,1,6,-1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-2,6,-1,5,2,6,1]],[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,5,3,4,1,6,1,2,1,4,
1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[7,1,
5,-1,6,1,7,-2,6,2,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1,2,1,4,1,
2,-1,4,1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,2,2,
1,6,-1,4,1,2,-1,5,1,2,1,5,1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[2,1,4,1],[2,1,5,3,6,2,2,1,4,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,
4,1],[5,1,2,2,4,1,2,2,4,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1,2,
1,4,1,2,-1,4,1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[
5,1,2,1,5,1,6,-1,5,2,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,
4,1],[5,2,6,2,2,1,5,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,
1],[2,1,6,1,5,1,6,-1,5,2,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[
2,1,4,1],[2,1,5,2,6,1,2,1,6,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[
2,2,5,1,2,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,5,1,2,
1,5,1,4,1,2,-1,5,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,
1],[4,1,2,-1,5,-1,6,2,5,-1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[2,1,4,1],[5,2,6,2,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[
2,1,5,1],[6,1,5,1,4,1,2,-1,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,
1],[5,1,2,1,5,-1,4,1,2,1,5,1,2,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,
2,1],[2,1,4,1],[6,1,2,1,5,3,4,1,6,1,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[4,1,2,-2,4,1,2,-1,5,-2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,
1,4,1],[4,1,2,-1],[6,1,5,-1,6,1,2,-1,4,1,2,-2,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,
2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,2,1,5,1,6,-1,5,2,6,1]]],[[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,1],[4,1,2,-1,5,-1,6,-1,5,1,6,1,2,1,4,1]],[[
2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,2,-2,4,1,2,2,5,-1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,1,5,-1,2,-1,5,1]],[[2,1,1,1],[1,1,
2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,6,3,2,1,5,2]]],[[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,-1],[6,2,4,1,2,1,5,1,6,-1,2,-2,5,-1]],[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1,2,1,4,1,2,-1,4,1,2,-1]],[[2,1,1,1],[1,1,
2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,4,1,6,1,2,1,4,1,6,1,2,1,5,2]],[[2,
1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-2,6,-1,5,2,6,
1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,4,1,6,3,2,
-1,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,3,4,1,2,-2]],[[
2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,-1],[5,1,4,1,2,1],[6,1,4,1,2,-1,6,-1,
5,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,4,1,6,3,
2,-1,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,4,1,2,-1,5,
2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,2,5,2,2,1,5,-1,4,1,2,
1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[6,1,
2,2,5,1,7,1,5,1,6,2,7,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,
2,-1],[6,1,5,2,2,1,6,1,2,-1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[2,1,4,1],[2,1,5,2,6,-1,5,1,6,-2,4,1,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,5,3,6,-1,2,-1,6,-1]],[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[2,1,4,1],[2,1,5,-1,2,-1,4,1],[6,1,5,1,6,1,5,1]],[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,1,4,1,2,-1,4,1,2,-1,5,1]]],[[[2,1,1,1],[1,1,
2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,6,3,2,1,5,2]],[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,-2,2,1,4,1,2,-1,5,-2]],[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,2,-2,4,1,2,2,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,
2,-1,3,1],[4,1,2,1],[4,1,2,-2,5,-2,2,1,4,1,5,-2]]],[[[2,1,1,1],[1,1,2,1,3,-1,
2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,-1,5,-2,2,1,4,1,5,-1,2,-2,6,-1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,6,3,2,1,5,2]],[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,1],[4,1,2,-1,6,-1,5,-1,6,1,5,1,2,1,4,
1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,6,-1],[7,1,5,
-1,6,2,5,-1,7,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,
1,2,-1],[5,1,6,-2,7,2,6,-1,5,-1,2,-1,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,4,1],[5,1,2,1,5,1,6,-1,5,2,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,4,1,6,1,2,1,4,1,6,1,2,2,5,1]],[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,-1],[4,1,2,1,5,-2],[7,1,6,1,7,1,6,
1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,2,5,1,6,1,2,1,
4,1,2,1,5,2,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,-1],[5,
1,2,-1,4,1,5,1],[7,1,6,-1,7,1,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,
2,1],[2,1,4,1],[6,1,2,-1,5,-2,2,1,4,1,5,-1,2,-2,6,-1]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,5,3,4,1,6,1,2,1,4,1]]],[[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,-1,2,1,4,1,2,1,5,2]],[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[2,2,4,1,2,-2,4,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[4,1,2,-1],[6,1,2,-1,5,1,2,1,4,1,5,-1,6,-1]],[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,1],[2,1,4,1,6,1,5,2,6,1]]],[[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,5,4,6,1]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1],[6,1,2,-1,5,1,2,1,4,1,5,-1,6,-1]]],[[[2,1,1,
1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[4,1,5,-1],[7,1,5,-1,6,1,
5,1,4,1,6,-1,7,-1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,
1],[5,1,6,1],[5,1,4,1,7,1,6,2,7,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,
2,1],[2,1,4,1],[2,1,5,2,6,1,5,-1,2,-2,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[2,1,4,1],[5,2,2,-2,4,1,5,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[2,1,4,1],[2,1,6,-1],[5,1,7,1,6,-1,5,-1,7,1,6,-1]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[2,1,4,1],[2,1,5,1,2,-1,4,1,5,2,2,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,
2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[6,1,2,2,5,1,7,1,5,1,6,2,7,-1]],[[2,
1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,2,4,1,2,2,4,1],[5,2,2,1,4,1]]],[[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,2,1,5,4,2,1]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,2,2,2,5,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,5,2,6,-1,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,
2,-1,3,1],[2,1,4,1],[2,1,5,1,2,-1,4,1,5,2,2,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[5,1,4,1,2,-1,5,1,2,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[2,2],[5,1,2,1,4,1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,
2,2,1,4,1,5,-1,2,-1,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,
5,-1,2,1,4,1,2,1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,
1],[5,2,6,1,2,1,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,2,-2,
4,1,2,2,5,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,
6,-1,5,-1,6,1,2,-1,5,-2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,
-1,5,2,2,1,5,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,2,4,1,2,1,
5,-2,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,2,2,-1,4,1,2,1,4,
1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,3,4,1,2,-2]],[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,1,4,1,5,-1,2,1,4,1]]],[[[2,
1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,3,4,1,2,-2]],[[2,1,1,1],[1,1,
2,1,3,-1,2,-1,3,1],[2,-1,4,1,2,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,
4,1],[4,1,2,-1,5,-3,2,-1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[
2,1,5,2,4,1,5,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[
5,2,6,2,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,1,5,-1,4,1,
2,1,4,1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,5,
-1,2,-1,5,-1,6,1,2,-1,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,
1,2,-1,5,2,2,1,5,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,3,
4,1,2,-2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,-1,2,1,5,
1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1],[6,1,2,-1,5,1,2,
1,4,1,5,-1,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,3,4,1,2,
-2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,1,6,1,2,
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],[2,1,4,1],[2,1,
6,2,2,1,5,2,6,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,2,1,
5,4,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,2,5,2,2,1,5,-1,4,1,
2,1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,
1],[4,1,5,-1,6,-1,7,2,6,-1,7,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,
1,1],[4,1,5,1],[4,1,5,-1],[7,1,6,1,5,1,7,1,6,1,5,1,6,1]]],[[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1,5,-1,6,2,5,-1,6,1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1],[6,1,5,1,2,1,6,1,5,1,2,1,5,
1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,2,1,5,4,2,1]],[[2,
1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,-1,2,1,5,1]]],[[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1,5,1,6,2,5,-2,2,-1,6,
-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,2,6,3,2,1,
4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,4,1,6,1,2,1,
4,1,6,1,2,1,5,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,
1,6,3,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1],[6,1,
5,1,2,1,6,2,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,-4,
2,-1,4,1,2,-1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,
1],[5,1,4,1],[4,1,5,-1,6,1,7,2,6,-2,5,-1,7,-1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,
2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[5,1,6,2,7,3,5,1,4,1]],[[2,1,1,1],[3,
1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[6,1,4,1,7,1,5,1,4,1,
7,1,5,1,6,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,3,4,1,2,
-2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,-2,4,1,2,2]]],[[[2,1,1,1],[1,1,
2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,2,5,2,2,1,5,-1,4,1,2,1]],[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,3,4,1,2,-2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[4,1,2,-1,4,1,2,-1,5,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,
1,2,1],[2,1,4,1],[6,1,5,-2,2,-1,6,-1,5,1,6,1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,
2,-1,3,1],[2,1,4,1],[2,1,5,1,2,-1,4,1,5,2,2,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[4,1,2,1],[2,1,4,1],[2,1,5,2,6,-2,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[4,1,2,1],[2,1,4,1],[5,1,4,1,6,3,2,-1,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[2,1,5,3,4,1,2,-2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,
4,1],[2,2,5,2,2,1,5,-1,4,1,2,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[2,1,4,1],[2,1,5,1,6,-1,5,1,6,-1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,-1],[5,1,4,1,2,-1,5,1,4,1,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[
4,1,2,1],[2,1,4,1],[2,1,5,2,6,-2,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[
4,1,2,1],[2,1,4,1],[2,1,5,1],[6,1,7,1,5,1,4,1,2,-1,6,-1,7,-1]],[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,1,5,-1,4,1,2,1,4,1,5,1]],[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,4,1,6,1,2,1,4,1,6,1,2,1,5,2]],[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,2,4,1,2,2,4,1],[5,2,2,1,4,1]]],[[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,6,-1,2,-1,6,3,2,-1,5,-1]],[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,2,6,2,2,1,5,2]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,6,-1,5,2,6,-1,2,-1]]],[[[
2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,4,1,6,1,2,1,4,1,6,1,
2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,5,-1,2,
-1,5,-1,2,1,6,-1,5,1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,
2,-1],[6,1,5,-2,2,-1,6,1,5,2,2,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,
2,1],[2,1,4,1,2,-1,5,1,4,1,2,-2,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,
4,1],[5,2,2,-1,4,1,2,1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[
2,1,4,1],[6,1,2,1,6,-1,5,3,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[4,1,2,-2,4,1,2,-1,5,-2]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,
1],[4,1,5,1],[5,1,4,1],[4,1,5,-2,6,1,7,-1,6,1,4,1,7,1]],[[2,1,1,1],[3,1,2,-1,
1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1,5,-1,6,-1,5,1,6,2]],[[2,1,1,
1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[7,1,5,1,7,1,6,
-3]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-2,5,1,6,
-1,5,1,4,1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,2,-1,5,
-1,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,
6,1,5,-3]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[6,2,
5,1,4,1,5,-1,6,-2]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[5,2],[
6,1,5,1,4,1,6,1,4,1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,2,
2,1,4,1,2,-1,5,-2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,2],[5,1,2,1,4,1,5,1,
4,1,2,1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,
4,1],[6,2,7,1,5,1,7,-1,6,1,7,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,
1,1],[4,1,5,1],[5,-1,4,1,5,-1,4,1,5,-1,6,2,5,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,
2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[7,1,5,1,7,-1,6,2,5,1,6,1]]],[[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,2,6,1,2,1,6,-1,5,1,6,
1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,-1,4,1,2,-1,4,1,2,-1,5,2,
2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,6,-1,5,
2,2,1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,2,6,1,
2,1,6,-1,5,1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,2,
4,1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,6,
-1,5,2,2,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,1,4,1,2,-1,4,
1,2,-1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,
2,6,-2,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,4,1,2,-1,
5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,2,-2,4,1,2,2,5,
-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,1,6,-2,5,
-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,2,2,1,4,1,2,1,5,2]]],[[[
2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[5,1,6,1,
7,-2,6,-1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[6,2,
5,1,4,1,5,1,6,2]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[5,1,4,
1],[4,1,5,-1,6,-1,4,1,5,1,4,1,6,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,
-1,1,1],[5,1,4,1,5,2,4,1,5,2]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,
1],[4,1,5,-2,4,1,5,2,4,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,
1,2,-1,5,-1,4,1,2,1,4,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1,2,2,
4,1,2,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,-2,4,1,2,2,4,1]]],[[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,6,1,5,-1,6,1,2,-1,5,-2,
2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,6,
-1,5,1,6,1,5,-2,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,2],[5,1,2,1,4,1,
5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,2,6,-2,
2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,2],[5,1,2,1,4,1,5,1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,2,4,1,2,-1]]],[[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,2,6,2,2,1,5,2]],[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,1,4,1,2,-1,4,1,2,-2,5,1]],[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,2,-2,4,1,2,2,5,-1]]],[[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[4,1,5,-2,2,2,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[4,1,2,-1,5,2,4,1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,
2],[5,1,2,1,4,1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,
1],[5,1,4,1,6,1,2,1,4,1,6,1,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,
2,1],[2,1,4,1],[5,1,6,2,2,1,6,-1,5,1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,4,1],[6,1,2,1,5,3,4,1,6,1,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,5,-2,2,-1,5,2,2,1,6,-1]]],[[[2,1,1,1],[
3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[6,1,4,1,7,1,5,1,4,
1,7,1,5,1,6,2]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[
5,1,4,1],[6,1,7,2,5,1,7,-1,6,1,7,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,
2,-1,1,1],[4,1,5,1],[5,1,4,1],[7,1,5,1,6,3,4,1,7,1,5,1,4,1]],[[2,1,1,1],[3,1,
2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[7,1,6,-2,5,-1,6,2,5,1,
7,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,1],[7,
1,6,2,7,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1],[6,1,
5,-2,2,-1,6,1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[
6,1,5,-2,2,-1,5,2,2,1,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,
2,4,1,2,-1,4,1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[
5,1,6,2,2,1,6,-1,5,1,6,1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,
1],[4,1,5,1],[5,1,4,1],[5,1,6,1],[8,1,7,2,8,1,6,1]],[[2,1,1,1],[3,1,2,-1,1,1,
3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[4,1,5,-1],[7,1,6,-2,5,-1,7,1,6,1]]],[[[2,
1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[7,1,6,-2,5,
-1,6,2,5,1,7,-1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,
1],[6,2,4,1,5,-1,4,1,5,-1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,
1],[4,1,5,1],[5,1,4,1],[6,1,7,2,5,1,7,-1,6,1,7,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,
2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-2,6,-1,5,2,6,1]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[4,1,2,-2,5,3,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[2,1,4,1],[5,1,2,-2,4,1,2,2,5,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,
1,2,1],[4,1,2,-1,5,-1,2,-1,5,-1,2,2,5,1,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[2,1,4,1],[6,2,5,-1,2,1,6,1,5,-1,6,1]],[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,2,1,5,1,6,-2,5,-1]]],[[[2,1,1,1],[1,1,
2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,6,-1,5,2,6,-1,2,-1]],[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1,2,2,4,1,2,-2,4,1,2,1]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[5,1,2,1,4,1,2,-1,5,-1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,
1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[5,1,7,-1,6,2,7,-1,5,-1]],[[2,1,1,
1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[5,1,4,1,5,2,4,1,5,-2,4,1,5,1]],[[2,
1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[6,1,5,1,4,1,5,-1,6,
-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,1,4,1,2,-1,4,1,2,
-2,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,1,5,-1,2,-1,5,
1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,2,-2,4,1,2,2,5,-1]]],[[[
2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,2,5,-1,2,1,6,1,5,-1,6,
1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,2,1,5,1,6,-2,
5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,5,-1,2,-1,5,-1,2,
2,4,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,1,4,1,2,-1,4,1,
2,-2,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-2,5,3,2,1]],[[
2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,2,-2,4,1,2,2,5,-1]]],[[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,2,6,2,2,2,5,1]],[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1,2,1,4,1,2,-1,4,1,2,-1]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,2,5,2,6,2]]],[[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,4,1,2,-1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[2,1,4,1,2,1,4,1,2,-1,4,1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,
4,1],[5,1,2,-1,4,1,5,1,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[
2,1,4,1],[5,1,2,1,5,1,6,-2,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[2,1,5,2],[6,1,2,1,4,1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,2],[5,1,
2,1,4,1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,2,6,
2,2,2,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,1,6,
-1,5,1,6,-1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,
1,2,2,5,2,6,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,
6,2,2,1,5,2,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1,2,1,4,1,2,-1,4,
1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,2,4,1,2,
-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-2,5,-2,2,1,5,2,2,
1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,6,-3,5,-1,
2,-2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,4,1,2,1,5,-1,2,
-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,5,2,6,
1,2,1,6,-1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,
6,-1,5,1,6,1,2,2,5,1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,
1,5,1],[5,1,4,1],[7,1,5,1,6,2,7,1,5,1,7,-1,6,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,
2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[5,1,7,-1,6,1,7,1,5,2,6,1]]],[[[2,1,
1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[5,1,4,1],[5,2,4,1,5,1,6,-2,5,
-1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[4,1,5,-2],[
7,1,6,1,7,1,6,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,2,4,1,2,1,
5,-2,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-2],[6,1,5,1,
6,1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1],[6,2,5,2,
2,1,5,1,4,1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,2,5,2,2,1,
5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-2,4,1,2,-1,5,2,2,
1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,-1,5,-1,4,1,2,1,4,1,5,
1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,6,-1,5,2,6,-1,
2,-1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[4,1,5,
-1],[7,2,6,2,5,1,6,1,4,1,5,-1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,
1,1],[4,1,5,1],[5,2,6,2,5,1,6,1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,
-1,1,1],[4,1,5,1],[4,1,5,-2,4,1,5,-1,6,2,5,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,
-1],[1,1,2,-1,1,1],[5,1,4,1],[4,1,5,-1,6,-1,4,1,5,1,4,1,6,1]],[[2,1,1,1],[3,1,
2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[5,1,7,-1,6,2,7,-1,5,
-1]]],[[[1,1,2,1],[1,1,2,-1,3,-2,2,1,3,2],[4,2],[1,1,2,1],[2,1,1,1],[7,1,2,1,
6,2,7,2,6,-1],[5,1,8,1],[8,1,5,1],[9,1,10,-1,9,-1,8,-2,10,-1]],[[1,1,2,1],[1,
1,2,-1,3,-2,2,1,3,2],[4,2],[1,1,2,1],[2,1,1,1],[7,1,2,1,6,2,7,2,6,-1],[5,1,8,
1],[8,1,5,1],[8,1,10,1,9,-1,8,1,10,-1,9,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,4,1],[6,1,2,1,6,1,5,-2,6,1,2,-1,6,-1]],[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1],[6,1,5,1,2,1,5,1,6,1,5,1,2,1]]],[[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,2,4,1,2,-2,5,1]],[[2,1,1,1],[1,1,
2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,4,1,2,-1,5,2]]],[[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,6,-1,5,2,6,-1,2,-1]],[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1],[6,1,5,1,6,1,2,-1,5,1]]],[[[2,1,1,1],[3,
1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,6,2],[7,2,5,1,4,1]],[[2,1,
1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[4,1,5,-1,6,2,4,1,5,
-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,6,1,5,1,6,
-1,5,2,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,2,
6,1,2,1,6,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,6,
-1,5,2,6,-1,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,2],[
6,2,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,2,4,1,
2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,1],[7,
1,6,2,7,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,1,2,1,5,1,4,1,
2,-1,5,2,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1,2,1,4,1,2,-1,4,1,2,
-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,1],[6,1,
7,-1,5,-1,6,1,7,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,
1],[6,1,2,2,5,2,6,2]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,
1,5,1],[5,1,4,1],[5,1,6,1],[7,1,8,-1,6,-1,7,1,8,1,6,1]],[[2,1,1,1],[3,1,2,-1,
1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[7,1,5,2,6,2,7,2]]],[[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,2,6,1,5,-1,2,-2,6,
-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,6,-1,5,1,6,1,
2,2,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,2,4,1,2,1,5,-2,2,
-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,2,6,-2,2,
-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,2,1,5,2,6,
2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,6,-1,5,2,6,
-1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,-1,5,-3,2,-1,4,
1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[
5,1,7,-1,6,2,7,-1,5,-1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[5,
1,4,1],[4,1,5,-1,6,-3,5,-1,4,1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,
-1,1,1],[4,1,5,1],[5,1,4,1],[5,1,6,2,7,1,6,-1,5,-2,7,-1]],[[2,1,1,1],[3,1,2,
-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[5,1,7,-1,6,1,7,1,5,2,6,
1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[5,1,4,1],[5,2,4,1,5,1,
6,-2,5,-1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,
1,4,1],[5,1,6,2,7,-2,5,-1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,
1],[4,1,5,1],[5,1,4,1],[6,1,5,1,6,2,7,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,4,1],[4,1,2,-2,6,-1,5,2,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[4,1,2,1],[2,1,4,1,2,-1,5,-1,2,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,4,1],[2,1,6,-1,5,2,6,-1,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-2,6,-1,5,2,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,
2,-1,3,1],[4,1,2,1],[2,1,5,2,4,1,2,-2,5,1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,
-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[4,1,5,-2,7,-1,6,2,7,1]],[[2,1,1,1],[3,
1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,6,2,4,1,5,-2,6,1]]],[[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,6,-1,5,2,4,1,6,1]],[[2,
1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,5,-1,2,1,4,1,2,-1,5,1]]],[[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,1],[5,1,6,2,2,1,4,1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,4,1,2,1,5,-1,2,-1]]],[[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,2,5,-1,2,1,6,1,5,-1,6,1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-2,5,1,2,1,5,1,4,1,2,-1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,2,1,6,-1,5,2,2,1,6,
1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,5,-3,2,2,4,1]],[[
2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,1,5,3,2,-2,4,1]]],[[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,6,-1,5,2,6,-1,2,-1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,1,2,1,5,2]]],[[[2,1,1,1],[3,
1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[5,1,7,-1,6,2,7,-1,5,
-1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[4,1,5,-1,6,
1,5,1,6,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,1],[5,1,6,1,
2,1,4,1,6,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,2,2,1,4,
1,2,2]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,6,
1],[6,1,7,1,5,1,4,1,7,1,6,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,
1],[4,1,5,1],[5,1,6,2,5,1,4,1,5,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,
2,1],[2,1,4,1],[6,1,2,1,6,-1,5,1,2,1,5,2,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[4,1,2,1],[2,1,4,1],[5,1,6,-2,4,1,2,-1,5,1,2,1]]],[[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,6,-2,5,-1,2,-1]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,2,-1],[5,1,6,1,5,1,6,1]]],[[[2,1,1,1],[3,1,2,
-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[6,1,7,-2,6,-1,5,-1]],[[2,
1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1,5,-1],[6,1,7,
1,6,1,7,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,-1,5,-1,4,1,
2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,1],[6,1,5,1,6,
1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,4,1,2,1,5,-1,2,-1]],[[
2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,-1,4,1,2,2,4,1]]],[[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-2,6,-1,5,2,6,1]],[[2,1,1,1],[1,1,
2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,4,1,2,-1,5,2]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[2,1,4,1,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[
2,1,4,1,2,2,5,2,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,
5,2,4,1,2,-1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[5,1,4,1],[
5,1,6,-1,5,-1,4,1,5,1,6,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,
1],[4,1,5,1],[5,-1,4,1,5,-1,6,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,
1],[2,1,5,-1,2,-1,4,1,2,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[
2,-1,4,1,2,-1,5,1]]],[[[1,1,2,1],[1,1,2,-1,3,-2,2,1,3,2],[4,2],[1,1,2,1],[2,1,
1,1],[7,1,2,1,6,2,7,2,6,-1],[5,1,8,1],[8,1,9,2,5,1,8,-1,9,-2]],[[1,1,2,1],[1,
1,2,-1,3,-2,2,1,3,2],[4,2],[1,1,2,1],[2,1,1,1],[7,1,2,1,6,2,7,2,6,-1],[5,1,8,
1],[5,1,8,-1,9,1,8,1,5,1,8,-1,9,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,
2,1],[2,1,4,1],[4,1,2,-2,6,-1,5,2,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,
1,4,1],[5,1,2,2,5,-1,2,-1,4,1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,
2,-1,4,1,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,2,-2,4,1,
2,2,5,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,2,6,2,
2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,4,1,2,1,5,-1,2,
-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,1,2,1,4,1,2,-1,5,-1]],[[
2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1,2,1,4,1,2,-1,4,1,2,-1]]],[[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,2,5,-1,4,1,2,1,5,-1,2,-1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,5,-2,2,2,4,1]],[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[2,1,4,1],[5,1,2,2,5,-1,2,-1,4,1,2,-1]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[2,2],[5,1,2,1,4,1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,
1,2,1],[2,1,4,1],[6,1,2,1,5,3,6,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,
1],[2,2,4,1,2,1,5,-2,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,
2,2,5,-1,2,-1,4,1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,2],[5,1,2,1,4,
1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,-1],[5,1,2,-1,4,
1,2,-2,6,2,5,-2,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,-1,4,1,2,1]],[[2,
1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,4,1,6,1,2,1,4,1,6,1,2,
1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,5,3,4,
1,6,1,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,2,2,
1,6,1,2,1,6,1,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,
-4,2,-1,4,1,2,-1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,
1],[5,1,4,1],[4,1,5,-2,6,1,7,-1,6,1,7,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[
1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[7,1,5,1,6,4,7,1]],[[2,1,1,1],[3,1,2,-1,1,1,
3,1,2,-1],[1,1,2,-1,1,1],[5,-1,4,1,5,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[
1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1,6,1,5,1,6,1,4,1,5,-1,6,2]],[[2,1,1,1],[3,1,2,
-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,-1,4,1,5,1,4,1]]],[[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-2,5,1,6,-1,5,1,6,1]],[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,5,4,6,1]],[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[2,-1,4,1,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[2,1,4,1,5,1,2,1,5,1,4,1,2,-1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,
1,2,-1,4,1,2,1,4,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,
1],[4,1,2,-1,5,-1,6,2,5,-1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[2,1,5,1],[2,1,4,1,6,1,5,2,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[4,1,2,-1,4,1,2,-1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,2,
5,2,2,1,5,-1,4,1,2,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,
1],[4,1,2,-1,5,-1,6,2,5,-1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[2,1,4,1],[6,1,2,1,5,3,6,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[
4,1,2,-1,4,1,2,-1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,2,5,2,
2,1,5,-1,4,1,2,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[
4,1,2,-1],[6,1,2,2,5,1,7,1,5,1,6,2,7,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[
2,1,4,1],[4,1,2,-1],[5,1,2,-1,4,1,5,1],[7,1,6,-1,7,1,6,-1]],[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[2,1,4,1,2,1,4,1,2,-1,4,1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,4,1,6,1,2,1,4,1,6,1,2,1,5,2]]],[[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,-1,5,-2,2,1,6,2,2,1,4,1]],[[
2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,1],[6,1,5,1,4,1,2,-1,6,
-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,4,1,6,1,2,1,
4,1,6,1,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,-1],[5,
1,2,-1,4,1,5,1],[7,1,6,-1,7,1,6,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,
1,4,1],[4,1,2,-1],[2,1,5,2,6,-2,2,-2,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,4,1,2,-1,5,1,4,1,2,-2,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[4,1,5,-1,2,1,4,1,2,-1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[
4,1,2,1],[2,1,4,1],[6,1,2,1,5,4,6,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,
1,2,1],[2,1,4,1],[5,1,6,3,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
-1,4,1,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,-1,4,1,2,1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,-4,2,-1,4,1,2,-1]]],[[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,6,3,2,1,5,2]],[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,5,-1,2,1,4,1,2,-1,5,1]],[[2,1,1,1],[1,1,
2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,1,4,1,2,-1,4,1,2,-1,5,1]],[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,5,4,6,1]]],[[[2,1,1,1],[3,1,2,-1,
1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[6,1,7,3,5,1,6,2]],[[2,1,1,
1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,-1,4,1,5,1,4,1]],[[2,1,1,1],[
3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[5,-1,4,1,5,1]],[[2,1,1,1],[3,1,2,-1,1,
1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[4,1,5,-1,6,-4,5,-1,4,1,5,-1]]],[[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1],[2,1,4,1,5,1,2,1,5,1],[6,1,7,
-1,6,1,7,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,
5,3,4,1,6,1,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[
4,1,2,-2,5,1,6,-1,5,1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,-1,4,1,2,
1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,4,1,6,1,2,1,4,
1,6,1,2,1,5,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,-1],[5,
1,2,-1,4,1,2,-2,6,2,5,-2,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[
2,1,4,1],[4,1,2,-2,5,1,6,-1,5,1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,
-1,4,1,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,
5,3,4,1,6,1,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,
-1],[2,1,4,1,5,1,2,1,5,1],[6,1,7,-1,6,1,7,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,6,1,5,-1,6,1,5,-2,2,-1]],[[2,1,1,1],[1,1,
2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,2,-2,4,1,2,2,5,-1]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,2,6,2,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,
2,-1,3,1],[2,1,4,1,2,1,4,1,2,-1,4,1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,4,1],[4,1,2,-2,6,-1,5,2,6,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,5,3,4,1,6,1,2,1,4,1]],[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-2,4,1,2,-1,5,-2]],[[2,1,1,1],[1,1,2,1,3,-1,
2,-1,3,1],[2,1,4,1],[4,1,2,-1],[6,1,5,-1,6,1,2,-1,4,1,2,-2,5,-1]],[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,2,1,5,1,6,-1,5,2,6,1]],[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,2,1,6,-1,5,2,2,1,6,
1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,5,3,6,
2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,5,-2,2,-1,4,1,2,-1,
5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,4,1,2,1,5,-1,2,
-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,-1],[5,1,2,-1,4,1,
2,-2,6,2,5,-2,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,
2,2,2,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,5,
3,6,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,1],[6,
1,7,-1,5,-1,6,1,7,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,2,4,1,2,-2,4,
1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,6,-1,5,1,6,1,
5,-2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,5,3,
6,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,-1],[5,1,4,1,2,1],[6,1,4,1,2,
-1,6,-1,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-2,5,1,4,1,
2,-1,5,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,
1],[4,1,2,-1,5,1,7,1,6,1,7,1,5,1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,
1,2,1],[2,1,4,1],[6,1,2,-1,5,-2,6,1,2,-1,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[4,1,2,1],[4,1,2,-1,5,1,4,1,5,-1,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,5,3,4,1,6,1,2,1,4,1]]],[[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,2,1,5,1],[7,1,6,-1,4,1,2,-1,7,1,6,
1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,4,1,6,1,2,1,4,
1,6,1,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-2,5,-2,2,
1,4,1,5,-2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,
5,3,4,1,6,1,2,1,4,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,
1],[5,1,6,3,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,1,4,1,2,
-2,5,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,-1,4,1,2,1]],[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,5,4,6,1]]],[[[2,1,1,1],[1,1,
2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[2,2,6,-1,7,2,5,1,2,1,5,1,6,
1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,2,2,2,5,2]],[[2,
1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,5,4,6,1]]],[[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,2,6,1,2,1,6,2]],[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,5,-2,2,-1,4,1,2,-1,5,1]],[[2,
1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,4,1,2,1,5,-1,2,-1]]],[[[2,1,1,
1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[5,1,4,1],[5,2,4,1,5,1,6,-2,5,
-1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[5,1,4,1],[6,2,5,-2,4,
1,6,2]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[6,1,4,1,
5,-1,4,1,5,-1,6,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[
4,1,2,-1],[2,2,6,-1,7,2,5,1,2,1,5,1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[
4,1,2,1],[4,1,2,-1,5,2,2,2,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[2,1,4,1],[6,1,2,1,5,2,6,-1,5,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,
1,2,1],[2,1,4,1,5,2,2,1,4,1,2,-1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,
1,2,1],[2,1,4,1,5,-2,2,-1,4,1,2,-1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[
4,1,2,1],[2,1,4,1],[6,1,2,1,5,3,6,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,
1,2,1],[2,1,4,1],[4,1,2,-1,5,-1,6,1,2,1,6,-1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,5,3,6,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[4,1,2,1],[4,1,2,-1,4,1,2,-1,5,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[
4,1,2,1],[2,1,4,1],[4,1,2,-1,5,-1,6,1,2,1,6,-1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,
2,-1,3,1],[4,1,2,1],[2,1,5,1],[2,1,4,1,6,1,5,2,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,
2,-1,3,1],[4,1,2,1],[4,1,2,-1,4,1,2,-1,5,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[2,1,4,1],[2,2,4,1,2,1,5,-2,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,
1,4,1],[5,2,2,-2,4,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,1,
4,1,2,-1,4,1,2,-1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,
1],[4,1,2,-1,5,-1,6,1,2,1,6,-1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,
2,1],[2,1,5,1],[2,1,4,1,6,1,5,2,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,
4,1],[4,1,2,-1,5,-1,4,1,2,1,4,1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,
1,2,1],[2,1,4,1],[2,1,5,1],[6,1,7,-1,5,-1,6,1,7,1,5,1]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,5,-1,6,2,2,-1,5,-1]],[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[4,1,2,1],[5,2,4,1,2,-1,4,1,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,5,-1,2,-2,5,2,2,1,6,-1]],[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,1],[6,1,5,2,6,1,2,1,4,1]],[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,1],[6,1,5,-1,7,-1,6,-1,7,
-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-2,6,-1,
5,2,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,1,4,1,2,1,4,1,2,-1,
5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,2,-2,4,1,2,2,5,
-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,1],[6,1,
7,-1,5,-1,6,1,7,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,1,
5,-1,2,-1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,
1,6,-1,5,1,6,-1,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,
1],[2,1,5,1,6,-1,5,1,6,-1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[4,1,2,-1,5,-1,2,1,4,1,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,
1],[4,1,2,1,5,-1,2,-1,5,1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,
1],[4,1,5,1],[4,1,5,-2,6,-2,5,1,4,1,6,-2]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,
-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,6,1],[6,1,7,1,5,1,4,1,7,1,6,1]],[[2,1,1,1],[
3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[6,1,5,1,6,1,7,-1,6,
2,7,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-2,5,-2,2,1,4,1,
5,-2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,1],[5,1,6,1,2,1,4,
1,6,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,2,1,5,
1,6,-1,5,2,6,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,-1,5,
-1,2,-1,4,1,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,2,2,-2,
4,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,2,4,1,2,1,5,-2,2,
-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,5,3,6,
2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,-2,4,1,2,1,4,1,2,1,4,1]],[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,-1,4,1,2,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[4,1,2,1],[2,1,4,1],[5,1,6,3,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,4,1,2,-1],[6,1,5,-1,6,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[4,1,2,1],[5,1,4,1,5,-1,2,1,4,1,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,4,1],[5,2,6,2,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[
2,2,4,1,2,-2,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,
1,6,1,5,-1,6,1,5,-2]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,
1,5,1],[5,1,4,1],[5,1,6,1],[7,1,8,-1,6,-1,7,1,8,1,6,1]],[[2,1,1,1],[3,1,2,-1,
1,1,3,1,2,-1],[1,1,2,-1,1,1],[5,2,4,1,5,-2,4,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,
2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[5,1,7,1,6,-1,7,1,6,-2]]],[[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,1],[6,1,7,-1,5,-1,6,1,7,
1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,2,4,1,2,-2,4,1]],[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,6,1,5,-1,6,1,5,-2]]],[[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,2,-1,5,1,4,1,2,-2,5,1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,1],[6,1,5,2,6,1,2,1,4,1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,-1,4,1,2,1,4,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,
2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,6,3,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,5,-1,6,2,2,-1,5,-1]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[4,1,2,-2,5,-2,2,1,4,1,5,-2]]],[[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,4,1,6,1,2,1,4,1,6,1,2,1,5,2]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,5,-1,2,1,4,1,2,-1,5,1]],[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,-1],[2,1,5,2,6,-2,2,-2,5,-1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,2,-1,4,1,5,1,2,-1]],[[2,1,1,1],[1,1,
2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,5,3,4,1,6,1,2,1,4,1]]],[[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,4,1,6,1,2,1,4,1,6,1,2,1,
5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,2,-1,5,1,4,1,2,-2,
5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,-1,4,1,2,1]],[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[4,1,2,-1,4,1,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,
1,2,1],[4,1,2,-1,5,-4,2,-1,4,1,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,
1,2,1],[2,1,4,1],[6,1,2,1,5,3,4,1,6,1,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[4,1,2,1],[2,2,5,1,2,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[2,1,4,1],[4,1,2,-1,6,-1,2,-1,6,-1,5,-2,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[2,-1,4,1,2,-1,4,1,2,-1,5,2,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,
2,-1,3,1],[4,1,2,1],[2,1,4,1,5,1,2,1,5,1,4,1,2,-1,5,2]]],[[[2,1,1,1],[3,1,2,
-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[6,1,4,1,7,1,5,1,4,1,7,1,
5,1,6,2]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,
1,5,-1,6,1,4,1,5,-2,6,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[
5,-1,4,1,5,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,-1,4,
1,5,1,4,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[4,1,
5,-1,6,-4,5,-1,4,1,5,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,
2,-1],[5,1,2,-1,4,1,2,-2,6,2,5,-2,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[
4,1,2,1],[2,1,4,1,5,1,2,1,5,1,4,1,2,-1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[2,-1,4,1,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,
1,2,-2,5,1,6,-1,5,1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,
1],[6,1,2,1,5,3,4,1,6,1,2,1,4,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[2,1,4,1],[2,2,5,1,6,1,2,-1,5,-2,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[2,1,4,1],[5,2,2,-1,4,1,2,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,
2,1],[2,-1,4,1,2,-1,4,1,2,-1,5,2,2,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[
4,1,2,1],[2,1,4,1],[5,1,2,1,6,-1,5,1,6,-1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[2,1,5,1],[2,1,4,1,6,1,5,2,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[4,1,2,-1,4,1,2,-1,5,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,4,1],[6,1,2,1,5,3,6,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[
4,1,2,1],[2,2,5,2,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,
5,-2,2,-1,4,1,2,-1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,
4,1],[5,1,6,3,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,1,
2,2,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,-1,4,1,2,1,4,1]]],[[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,-1,2,-1,5,-1,2,2,5,1,2,1,4,
1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1,2,-1]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[2,1,5,1],[5,1,6,1,2,1,4,1,6,1,5,1]]],[[[2,1,1,1],[1,1,
2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,5,2,6,-1,5,-1]],[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,-2,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[2,1,4,1],[2,2,5,1,2,1,5,1,2,-1,4,1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,5,3,6,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,4,1,5,-2,2,-1,4,1,2,-1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[2,1,4,1],[4,1,2,-1,5,-1,4,1,2,1,4,1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[2,1,5,1],[5,1,6,1,2,1,4,1,6,1,5,1]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[2,1,4,1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,
1,4,1],[5,1,2,1,5,1,6,-2,5,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[2,1,4,1],[6,1,2,2,5,1,2,1,5,1,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[
2,1,4,1],[5,1,2,-2,4,1,2,2,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[2,1,5,1],[4,1,2,-1,6,-1,5,-2,6,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[
4,1,2,1],[2,1,4,1,5,1,2,1,5,1,4,1,2,-1,5,1,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[2,1,4,1],[2,1,5,-1,4,1,2,1],[6,2,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[4,1,2,1],[5,2,2,1,4,1,2,-1,5,-2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[
4,1,2,1],[2,1,4,1],[6,1,2,1,5,3,6,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,
2,1],[4,1,5,-2,2,2,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,-2,5,
2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-2,6,-1,5,
2,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,5,-1,2,-1,
5,1,2,1,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,2,2,5,-1,2,
-1,4,1,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,-1],[5,2,
2,-1,4,1],[7,1,6,-1,7,1,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[
4,1,2,-1,5,-1,2,-1,4,1,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[2,1,4,1],[4,1,2,-1,6,-3,5,-2,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[
4,1,2,1],[2,1,4,1],[6,1,2,1,5,3,6,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,
2,1],[2,1,4,1,5,-2,2,-1,4,1,2,-1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,
2],[5,1,2,1,4,1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,
1],[2,1,5,1],[6,1,7,-1,5,-1,6,1,7,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[
2,2,4,1,2,-2,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-2,5,
-2,2,1,4,1,5,-2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,
1,5,1],[6,1,7,-1,5,-1,6,1,7,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[2,1,4,1],[5,2,6,-1,5,1,6,-1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,
1,4,1],[5,1,4,1,2,1,5,-1,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[2,1,4,1],[5,1,6,3,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[
2,1,4,1],[5,2,2,1,6,2,5,-1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1,
2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,2,1,5,1,
6,-1,5,2,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,1],[5,1,6,
1,2,1,4,1,6,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-2,4,
1,2,-1,5,-2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,6,
-1,2,-1,6,3,2,-1,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,
1],[6,1,5,2,6,1,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,-1,4,1,2,
1,4,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,-1,2,1,4,1,
2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,2,-1],[5,1,6,
1,5,-1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1,2,1,4,1,2,-1,4,1,2,
-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,4,1,6,3,2,
-1,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,1,4,1,5,-1,
2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,2,4,1,5,-3,2,
-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,-1,2,-1,5,-1,
2,2,5,1,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,2,4,1,2,
-1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,2,1,5,1,
6,-2,5,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,2,2,5,-1,2,-1,
4,1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,1,4,1,2,-1,5,1,2,1,
5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,-1,4,1,2,1,4,1]]],[[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-2,6,-1,5,2,6,1]],[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,2,5,-1,2,1,5,2]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,-1,4,1,2,1,4,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,
2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,-1,5,-2,6,1,2,2,4,1,2,-1]],[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,-1],[5,1,2,-1,4,1,5,1],[7,1,6,-1,7,1,6,
-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,2,2,5,-1,2,-1,4,1,2,
-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,-1],[6,1,5,-2,2,-1,4,
1,2,1,5,2,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,
2,-1,6,-3,5,-2,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,
1],[4,1,2,-1,6,-1,5,-1,2,-2,6,-1,5,1,6,-1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[2,2,5,1,4,1,2,-1,5,2,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[2,-1,4,1,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,
1,2,1,5,3,4,1,6,1,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,
4,1,5,1,2,1,5,1,4,1,2,-1,5,1,2,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,
4,1],[2,2,5,-1,4,1,2,1,5,-1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
-1,4,1,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1,2,2,4,1,2,2]],[[
2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,6,3,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,5,4,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[2,-1,4,1,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,1,5,-1,
2,-1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,
5,3,4,1,6,1,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,1],[
5,1,6,1,2,1,4,1,6,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,
-2,5,-2,2,1,4,1,5,-2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,
1],[5,1,2,1,5,1,6,-2,5,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,
1,4,1],[2,1,5,1,6,1,2,1,4,1,5,-1,2,-2,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[2,1,4,1],[4,1,2,-1],[5,1,2,-1,4,1,5,1],[7,1,6,-1,7,1,6,-1]],[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,2,2,-2,4,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,4,1,6,1,2,1,4,1,6,1,2,1,5,2]]],[[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-2,5,-2,2,1,5,2,2,1,4,1]],[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,1],[2,1,4,1,6,1,5,2,6,1]],[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,4,1,2,-1,5,2]],[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[2,1,4,1],[2,1,5,1,2,-1,4,1,5,2,2,2]]],[[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,6,3,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,
2,-1,3,1],[4,1,2,-1,4,1,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,
1],[4,1,2,1,5,-1,2,-1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,
2,-1,5,-4,2,-1,4,1,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,
2,-1],[6,1,2,-1,5,1,2,1,4,1,5,-1,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,
1,2,1],[2,1,5,1],[2,1,4,1,6,1,5,2,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,
1,2,-1,4,1,2,-1,4,1,2,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,
2,-1],[6,1,5,-2,2,-1,6,1,4,1,2,-1,4,1,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[2,1,4,1],[2,2,5,2,2,1,5,-1,4,1,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[
4,1,2,1],[2,1,4,1,2,1,5,4,2,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[2,1,4,1],[6,1,5,-1,2,-2,5,2,2,1,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[4,1,2,-1],[6,1,5,1,2,1,5,1,6,1,5,1,2,1]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[2,1,5,1],[6,1,5,2,6,1,2,1,4,1]]],[[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,5,2,6,-1,5,-1]],[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[2,1,4,1],[2,2,5,2,2,1,5,-1,4,1,2,1]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,-1],[5,1,4,1,2,1],[6,1,4,1,2,-1,6,-1,5,-1]]],[[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1],[6,1,2,-1,5,1,2,1,4,1,5,-1,6,
-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,2,1,5,4,2,1]],[[2,
1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,-1,4,1,2,-1,4,1,2,2]]],[[[2,1,1,1],[1,1,
2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1],[6,1,2,-1,5,1,2,1,4,1,5,-1,6,-1]],[[2,
1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,3,4,1,2,-2]],[[2,1,1,1],[1,1,
2,1,3,-1,2,-1,3,1],[4,1,2,-1,4,1,2,-1,4,1,2,2]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,
1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[6,1,4,1,7,3,5,-1,6,-1]],[[2,1,1,
1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,-1,4,1,5,-1,4,1,5,2]],[[2,1,
1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[4,1,5,-1],[7,1,6,1,7,1,
5,-1,6,1,5,1,4,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[
5,2,6,2,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,1,5,-1,4,1,
2,1,4,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1,2,1,4,1,2,-1,4,1,2,
-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,4,1,6,3,2,
-1,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,-1,4,1,2,-1,4,1,2,2]],[[2,
1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1],[6,1,5,1,6,1,2,-1,5,1,2,1,
4,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,3,4,1,2,-2]],[[2,
1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,-2,4,1,2,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[4,1,2,-1,4,1,2,-1,5,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,4,1],[2,1,5,1],[6,1,5,-1,7,-1,5,1,7,1,6,-1]],[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,1,4,1,2,-1,5,1,2,1,5,1]],[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[2,1,4,1],[2,1,5,1,2,-1,4,1,5,2,2,2]]],[[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,4,1,6,3,2,-1,5,-1]],[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,3,4,1,2,-2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[4,1,2,-1],[5,1,4,1,2,1],[6,1,4,1,2,-1,6,-1,5,-1]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[2,1,4,1],[2,2,5,2,2,1,5,-1,4,1,2,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,
2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1,5,-1,6,2,5,-1,6,1]],[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,3,4,1,2,-2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[4,1,2,1],[4,1,2,-1,4,1,2,-1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,
1,4,1],[2,2,5,2,2,1,5,-1,4,1,2,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,
2,1],[4,1,2,-1],[6,1,5,-2,2,-1,6,1,5,2,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[2,1,4,1],[2,1,5,1,2,-1,4,1,5,2,2,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[
4,1,2,1],[4,1,2,-1,5,2,4,1,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[4,1,2,-1],[6,1,2,-1,5,1,2,1,4,1,5,-1,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[4,1,2,1],[2,1,5,1],[2,1,4,1,6,1,5,2,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[4,1,2,1],[4,1,2,-1,4,1,2,-1,5,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[
4,1,2,1],[2,1,4,1],[2,1,6,3,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,
2,1],[2,1,4,1],[6,1,5,-1,6,2,2,-1,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[
4,1,2,1],[2,1,4,1],[2,1,6,-1,5,1,6,1,5,-1,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,5,-2,2,-1,4,1,2,-2,5,1,6,1]],[[2,1,1,1],[1,1,
2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,5,1,2,1,5,1,4,1,2,-1,5,1,2,1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,1],[7,1,6,2,7,1,5,
1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,6,-1,5,
1,6,1,5,-2,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,
2,1,5,3,6,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,2],[5,1,2,1,4,1,5,1]]],[[[
2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,3,4,1,2,-2]],[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[2,-1,4,1,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,
2,1],[4,1,2,-1,4,1,2,-1,5,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[
2,1,4,1],[2,1,5,2,6,-2,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,-1],[
5,1,4,1,2,-1,5,1,4,1,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,2],[5,1,2,1,
4,1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,2,5,1,4,1,2,-1,5,
-1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,-1],[5,1,4,1,2,-1,5,1,4,1,
2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1,2,1,4,1,2,-1,4,1,2,-1]]],[[[
2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,3,4,1,2,-2]],[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[2,2],[5,1,2,1,4,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[4,1,2,-1,5,1,4,1,5,-1,2,1,4,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[4,1,2,1],[2,1,4,1],[5,1,6,3,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,-1,4,1,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,1,
4,1,2,-1,4,1,2,-1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,
-1,5,-4,2,-1,4,1,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,
1],[5,1,6,3,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,5,-1,
2,1,4,1,2,-1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,1,5,-1,
2,-1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,5,
4,6,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,-1,2,1,4,1,
2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,2,4,1,2,-2,4,1]],[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1,2,1,4,1,2,-1,4,1,2,-1]]],[[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,2,2,1,6,1,2,1,6,1,5,-1]],[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,1],[5,1,6,1,2,1,4,1,6,1,5,1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,6,2,2,1,5,2,6,1]]],[[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,3,4,1,2,-2]],[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[4,1,2,-1,4,1,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[
4,1,2,1],[2,1,4,1],[5,-2,2,2,4,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,
2,1],[2,1,4,1],[5,1,4,1,6,3,2,-1,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,
1,2,1],[4,1,2,-1,5,1,4,1,5,-1,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,
1,2,1],[2,1,4,1,2,1,5,4,2,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[
2,1,4,1],[4,1,2,-1,5,-1,6,2,5,-1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,
1,2,1],[2,1,4,1],[5,1,4,1,6,3,2,-1,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[
4,1,2,-1,4,1,2,-1,4,1,2,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,
1,4,1],[6,1,2,1,5,2,6,-1,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[
2,2,5,2,2,1,5,-1,4,1,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,
2,-1,5,2,2,2,5,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[
5,1,4,1,6,3,2,-1,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,
2,1,5,4,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,2,5,2,2,1,5,-1,
4,1,2,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1],[6,1,2,-1,
5,1,2,1,4,1,5,-1,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,3,
4,1,2,-2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,4,1,2,-1,5,
2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,3,4,1,2,-2]],[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,4,1,2,-1,5,2]],[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,5,-1,2,1,4,1,2,-1,5,1]]],[[[2,1,1,1],[1,1,
2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,5,3,4,1,6,1,2,1,4,1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,6,-1,5,2,2,1,5,1]],[[
2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-2,5,1,6,-2,5,
-2]]],[[[1,1,2,1],[2,1,1,1,2,1,3,2,1,1,2,-1,3,1,2,1],[4,2],[1,1,2,1],[2,1,1,
1],[7,1,6,-2,2,-1,7,-1,6,-2],[5,1,8,1],[9,2],[10,2,8,1,5,1]],[[1,1,2,1],[2,1,
1,1,2,1,3,2,1,1,2,-1,3,1,2,1],[4,2],[1,1,2,1],[2,1,1,1],[7,1,6,-2,2,-1,7,-1,6,
-2],[8,1,5,1],[9,2,8,-1,5,1,8,1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,
1,2,1],[4,1,2,-2,4,1,2,-1,5,2,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,
1,2,2,4,1,2,-2,4,1,2,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,
4,1],[2,1,6,1,5,2,6,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,2,2,1,
4,1,2,-1,5,-1,2,-1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,
5,1],[5,1,4,1],[5,1,7,1,6,2,7,2]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,
-1,1,1],[4,1,5,1],[6,2,5,1,4,1,5,-1,6,-1,5,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[2,1,4,1],[2,2,5,-1,4,1,2,1,5,-1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[2,1,4,1],[4,1,2,-2,4,1,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,
1,4,1],[5,1,2,2,5,-1,2,-1,4,1,2,-1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,
1,2,-1,1,1],[5,1,4,1],[5,2,6,-1,4,1,5,1,6,-1,5,-1]],[[2,1,1,1],[3,1,2,-1,1,1,
3,1,2,-1],[1,1,2,-1,1,1],[5,1,4,1],[4,1,5,-2,4,1,5,1,6,2]],[[2,1,1,1],[3,1,2,
-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[5,1,4,1],[6,1,5,2,6,-1,5,-1,4,1,5,-1]]],[[[1,
1,2,1],[2,1,1,1],[1,1,2,-1],[2,2,3,1,4,-1,5,1,3,2,4,-1,5,1],[6,3]],[[1,1,2,
1],[1,1,2,-1,3,1,2,1,3,3]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,
1,4,1,2,-1,5,3,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,4,
1,2,-1,5,2]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,
1,4,1,5,-1,6,3,5,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,
1],[4,1,5,-1,4,1,5,-1,6,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,
1,4,1],[4,1,2,-2,6,-1,5,2,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[
4,1,2,1,5,-1,2,-1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,
-1,5,-1,4,1,2,1,4,1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,2,
4,1,2,-1,4,1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,1],[5,
1,6,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,2,6,
-2,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,-1,4,1,2,2,4,1,2,-1]]],[[[
2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,2,2,1,4,1,2,-1,5,-1,2,-1]],[[2,
1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,2,4,1,2,1,5,2]]],[[[2,1,1,1],[3,1,
2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[6,2,5,1,4,1,5,-1,6,-1,5,-1]],[[2,
1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[5,1,4,1],[5,2,4,1,5,1,6,
2]]],[[[1,1,2,1],[1,1,2,-1,3,-2,2,1,3,2],[4,2],[1,1,2,1],[2,1,1,1],[7,1,2,1,6,
2,7,2,6,-1],[8,1,5,1],[5,1,8,1,9,-1],[9,1,10,-2]],[[1,1,2,1],[1,1,2,-1,3,-2,2,
1,3,2],[4,2],[1,1,2,1],[2,1,1,1],[7,1,2,1,6,2,7,2,6,-1],[5,1,8,1],[8,1,5,1],[
9,1,10,-1,9,-1,8,-2,10,-1]]],[[[1,1,2,1],[2,1,1,1,2,1,3,2,1,1,2,-1,3,1,2,1],[
4,2],[1,1,2,1],[2,1,1,1],[7,1,6,-2,2,-1,7,-1,6,-2],[8,1,5,1],[5,1,8,1,9,-1],[
9,1,10,-2]],[[1,1,2,1],[2,1,1,1,2,1,3,2,1,1,2,-1,3,1,2,1],[4,2],[1,1,2,1],[2,
1,1,1],[7,1,6,-2,2,-1,7,-1,6,-2],[5,1,8,1],[8,1,5,1],[9,1,10,-1,9,-1,8,-2,10,
-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,4,1,6,3,5,
-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,2,-1,5,-1,2,2,5,
1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,2,2,1,6,1,2,1,
6,1,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,2,2,1,4,1,
2,-2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,-1,4,1,2,1]],[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[4,1,2,1],[2,-1,4,1,2,-1,4,1,2,-1,5,2,2,1]]],[[[2,1,1,1],[3,1,
2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[6,2,5,1,7,1,5,1,7,1,6,
-1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[4,1,5,-1,6,
2,5,1,4,1,5,-2]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[5,-1,4,1,
5,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,-1,4,1,5,
-1,4,1,5,-1,6,2,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,
1],[4,1,2,-1],[7,1,5,1,6,-1,2,-1,6,-1,7,1,5,-1,6,1,2,-1,6,-1]],[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,5,3,4,1,6,1,2,1,4,1]],[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[2,1,6,1,5,1,6,-1,
7,1,5,1,2,1,6,-2,7,1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,
1,5,1],[5,1,4,1],[4,1,5,-1],[8,1,6,1,7,-1,5,-1,7,-1,8,1,6,-1,7,1,5,-1,7,
-1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[7,
1,5,1,6,3,4,1,7,1,5,1,4,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,
1],[4,1,5,1],[5,1,4,1],[4,1,5,-1],[5,1,7,1,6,1,7,-1,8,1,6,1,5,1,7,-2,8,
1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,2,1,5,1,6,
-2,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,2,-1],[6,1,5,
1,6,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,2,2,1,4,1,2,-1,5,
-2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,6,1,5,1,6,
-1,5,2,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,2,2,-1,
5,-2,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,2,2,
1,6,1,2,1,6,1,5,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1,2,2,4,1,2,
-2,4,1,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,2,-1,4,1,5,1,2,
-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,1,2,1,4,1,2,-1,5,
-1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[5,1,4,1,5,2,4,1,5,
-2,4,1,5,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[5,1,4,1],[6,1,
5,-1,4,1,6,1,5,-1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,
1],[6,1,5,1,4,1,5,-1,6,-1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,
1],[4,1,5,1],[6,2,5,1],[4,1,5,-1,7,-1,5,1,4,1,7,1]],[[2,1,1,1],[3,1,2,-1,1,1,
3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[6,1,5,1,6,1,7,-1,6,-1,7,1,5,
-1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[
6,2,7,2,5,2,6,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[5,1,4,
1],[5,2,6,2,5,1,6,-1,4,1,5,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,
1],[4,1,5,1],[5,1,4,1],[7,1,5,2,6,2,7,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[5,2,2,1],[4,1,2,-1,6,-1,2,1,4,1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,
2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,2,1,5,1,6,-1,5,-1,6,1,2,-1]]],[[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,2,6,2,2,2,5,1]],[[2,1,1,1],[1,1,
2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,2,5,2,2,1,5,-1,4,1,2,1]],[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,2,5,2,6,2]]],[[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,2,1,6,-2,5,-1,2,-2,6,-1]],[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,2,5,1,6,2,5,-1,6,1]],[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-2,5,1,6,-1,5,1,6,1]]],[[[2,
1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,6,-1,5,1,6,2,5,-2,2,
-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,5,2,2,1,4,1,2,-1,5,
2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,-1],[2,1,4,1,2,-2,5,2,4,1,2,
1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,2,6,1,2,1,6,
-1,5,1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,6,2,
2,1,5,2,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,2,4,1,
2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,2,-1,5,-2,4,1,
2,-1,5,1,2,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,1],[5,
1,6,1,2,1,4,1,6,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,
-2,5,1,2,1,5,1,4,1,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,
4,1],[6,1,2,1,5,3,6,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,2,
-2,4,1,2,2,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,-1,4,1,2,1]]],[[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,5,3,6,2]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,2,6,2,2,1,5,2]],[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,1,4,1,5,-1,2,1,4,1]]],[[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,2,6,2,2,2,5,1]],[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,1],[6,1,5,1,4,1,2,-1,6,-1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[2,2],[5,1,2,1,4,1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,2,6,-2,2,-1]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[2,2],[5,1,2,1,4,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,
2,1],[4,1,2,-1,5,2,4,1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,
2,5,-1,4,1,2,1,5,-1,2,-1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,
1],[4,1,5,1],[5,1,4,1],[7,1,5,1,6,3,7,2]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[
1,1,2,-1,1,1],[5,1,4,1],[6,1,5,-2,4,1,5,2,6,-1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,
2,-1],[1,1,2,-1,1,1],[5,-1,4,1,5,1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,
1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[6,2,7,2,5,2,6,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,
1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,6,1],[7,1,6,1,4,1,5,-1,7,-1]],[[2,1,1,
1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[5,2],[6,1,5,1,4,1,6,1]]],[[[2,1,1,
1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[6,2,5,1,4,1,5,-1,6,
-2]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[4,1,5,-2,6,
2,5,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[4,1,5,-1,
6,2,4,1,5,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,2,2,1,4,1,2,
-1,5,-2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-2,5,2,2,1]],[[
2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,2,4,1,2,-1]]],[[[2,1,1,
1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[5,1,6,2,7,-2,5,
-1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[4,1,5,-2],[
7,1,6,1,7,1,6,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,
1,5,2,6,-2,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-2],[6,
1,5,1,6,1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,2,
2,1,5,1,2,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,1,5,-1,4,1,
2,1],[5,1,6,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,2,2,1,4,1,2,
-1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,2,4,1],[6,1,5,-1,6,1,
5,-1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,6,2,
4,1,5,-1,6,2,5,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,
1],[4,1,6,-2,5,2,4,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[5,1,
4,1],[5,1,6,1,5,-1,4,1,6,2,5,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[2,1,5,2,4,1,2,-1,5,2,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[
4,1,5,-2,2,2,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,1,5,1,2,-1,
4,1,5,2,2,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,2,4,1,2,-1,5,
2,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,2,4,1],[6,1,5,-1,6,1,
5,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,2,5,-1,2,1,
5,1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,2,4,1,2,-1,5,2,2,
1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-2,6,-1,5,
2,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-2,5,3,2,1]],[[2,
1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,1,4,1,2,-1,4,1,2,-2,5,1]]],[[[
2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,2,5,-1,2,1,6,1,5,-1,6,
1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,1],[5,1,6,1,2,1,4,1,6,
1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-2,5,1,2,1,5,1,4,
1,2,-1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[6,1,5,
1,4,1,5,-1,6,-2,5,-1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,
5,1],[5,-2,6,2]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[5,-1,4,1,
5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,1,2,1,4,1,2,-1,5,-2,2,
-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,-2,5,2]],[[2,1,1,1],[1,1,
2,1,3,-1,2,-1,3,1],[2,-1,4,1,2,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,
2,1],[2,1,4,1,2,-1,5,-1,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
-2,4,1,2,2,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1,2,1,4,1,2,-1,4,1,
2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,2,6,2,2,2,
5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,2],[5,1,2,1,4,1,5,1]],[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,2,5,2,6,2]]],[[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,2,2,1,5,1,2,1,5,1]],[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,2,-1,5,-3,2,-1]],[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,6,-1,5,2,4,1,6,1]]],[[[2,1,1,1],[1,1,
2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,2],[6,1,4,1,2,-1,6,1]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[2,1,4,1],[5,2,2,-1,4,1,5,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,4,1],[5,2],[7,1,6,-1,7,1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[2,1,5,1,4,1,2,-1,5,2,2,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[2,1,4,1],[2,2,5,-1,4,1,2,1,5,-1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[2,1,4,1,2,-1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,
4,1,2,-1,5,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,
2,-2,6,-1,5,2,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,1,4,1,
2,-1,4,1,2,-2,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,1,2,1,4,1,
2,-1,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,-1,4,1,2,1]]],[[[1,1,2,1],[
1,1,2,-1,3,-2,2,1,3,2],[4,2],[1,1,2,1],[2,1,1,1],[7,1,2,1,6,2,7,2,6,-1],[5,1,
8,1],[8,1,5,1],[9,1,10,-1,9,2,10,1]],[[1,1,2,1],[1,1,2,-1,3,-2,2,1,3,2],[4,
2],[1,1,2,1],[2,1,1,1],[7,1,2,1,6,2,7,2,6,-1],[5,1,8,1],[9,2,8,1,5,1,9,-1,8,
-2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,5,-1,2,-1,5,-1,2,
-1,5,-2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,1,5,1,2,-1,4,1],[6,
2,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,2,1,5,1,6,
-2,5,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,2,-1,5,-2,4,
1,2,-1,5,1,2,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[
2,1,5,1,6,2,2,1,6,-1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,
4,1],[4,1,2,-1,5,-1,6,2,5,-1,6,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,
2,1],[5,2,2,1,4,1,2,-1,5,-2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,
1,4,1,2,-1,4,1,2,-1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,4,
1,2,1,5,-1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,2,-2,4,1,
2,2,5,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-2,5,1,2,1,5,
1,4,1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,1,5,1,2,-1,4,1],[
6,2,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,1,5,-1,2,-1,5,
1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,1],[4,1,2,-1,5,-1,6,
-1,4,1,2,-1,6,-1,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,1,4,1,
2,-1,5,-2,2,-1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,
1],[5,1,6,1],[4,1,5,-1,6,-1,7,-1,4,1,5,-1,7,-1,6,-1]],[[2,1,1,1],[3,1,2,-1,1,
1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[6,1,4,1,5,-1,6,-2,5,-1]]],[[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,2,1,5,1,6,-2,5,-1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[2,2],[5,1,4,1,2,2,4,1,5,1]]],[[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-2,6,-1,5,2,6,1]],[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[2,2,4,1,2,-1,4,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,
1,2,1],[4,1,2,-1,5,-1,2,-1,5,-2,2,1,4,1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[2,1,4,1],[4,1,2,1,5,-1,2,-1],[6,1,5,-1,6,1]]],[[[1,1,2,1],[2,1,1,1,2,1,
3,2,1,1,2,-1,3,1,2,1],[4,2]],[[1,1,2,1],[2,1,1,1,2,1,3,2,1,1,2,-1,3,1,2,1],[4,
2],[1,1,2,1],[2,1,1,1],[7,1,6,-2,2,-1,7,-1,6,-2],[8,1,5,1,8,1,5,1,8,-1]]],[[[
1,1,2,1],[1,1,2,-1,3,-2,2,1,3,2],[4,2]],[[1,1,2,1],[1,1,2,-1,3,-2,2,1,3,2],[4,
2],[1,1,2,1],[2,1,1,1],[7,1,2,1,6,2,7,2,6,-1],[8,1,5,1,8,1,5,1,8,-1]]],[[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-2],[6,1,5,1,6,1,5,1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1,2,1,4,1,2,-1,4,1,2,-1]]],[[[2,1,1,1],[1,1,
2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,6,-1,2,-1,5,1,6,2]],[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,2,4,1,2,-1,4,1,2,-1]]],[[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,2,6,-2,2,-1]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[5,2,2,1,4,1,2,-2,5,1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,
2,-1],[1,1,2,-1,1,1],[4,1,5,1],[4,1,5,-2],[7,1,6,1,7,1,6,1]],[[2,1,1,1],[3,1,
2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[5,1,4,1,5,1,4,1,5,-1,4,1,5,-1]]],[[[2,1,1,
1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[6,1,7,-1,5,-1,
6,1,7,2]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[6,2,4,
1,5,-1,4,1,5,-1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,
1],[5,1,4,1],[5,1,6,2,7,-2,5,-1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,
-1,1,1],[4,1,5,1],[6,2,5,1,4,1,5,-2,6,1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,
-1],[1,1,2,-1,1,1],[4,1,5,1],[6,2,4,1,5,-1,6,-1,5,1,4,1]],[[2,1,1,1],[3,1,2,
-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,-2,4,1,5,-1,4,1,5,2]]],[[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,2,4,1,2,-1,5,-1,2,1,4,1]],[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[4,1,2,-2,4,1,2,-1,4,1,2,2]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,
2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[7,1,5,1,7,-1,6,1,5,1,6,1,7,1]],[[2,
1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[6,1,7,-1,5,
-1,6,1,7,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,
1,6,-1,5,1,2,1,5,1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,
1],[5,1,6,-1,2,-1,5,1,6,2]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,
1],[4,1,5,1],[6,1,4,1,5,-1,6,-2,5,-1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,
1,2,-1,1,1],[4,1,5,1],[4,1,5,-1,6,1,5,1,6,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[4,1,2,1],[2,1,4,1],[6,2,5,-1,2,1,5,1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[2,1,4,1,2,-1,5,3]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,
1,2,1],[5,1,4,1,2,-1,5,-2,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[4,1,2,-1,5,1,2,1,5,2]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,
1],[4,1,5,1],[5,1,4,1],[7,2,6,-1,5,1,6,1,7,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,
-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1,5,-1,6,3]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[2,1,4,1],[6,2,5,-1,2,1,6,1,5,-1,6,1]],[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,1,5,-1,2,-1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[2,1,5,1],[5,1,6,1,2,1,4,1,6,1,5,1]]],[[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,2,1,6,-2,4,1,2,-1,5,1]],[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,-2,2,1,4,1,2,-1,5,-2]],[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-2,5,3,2,1]]],[[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,1,6,-1,5,1,6,2]],[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,2,4,1,2,-1]]],[[[2,1,1,1],[3,1,2,-1,1,1,
3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[5,1,6,1,7,-1,6,1,7,2]],[[2,1,1,
1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[4,1,5,-1,6,2,4,1,5,
-1]]],[[[1,1,2,1],[1,1,2,-1,3,-2,2,1,3,2],[4,2],[1,1,2,1],[2,1,1,1],[7,1,2,1,
6,2,7,2,6,-1],[5,1,8,1],[8,1,5,1],[9,2,10,-3,9,-1]],[[1,1,2,1],[1,1,2,-1,3,-2,
2,1,3,2],[4,2],[1,1,2,1],[2,1,1,1],[7,1,2,1,6,2,7,2,6,-1],[5,1,8,1],[8,1,5,
1],[8,1,10,1,9,-1,10,1,9,-1,10,1]]],[[[1,1,2,1],[1,1,2,-1,3,-2,2,1,3,2],[4,
2],[1,1,2,1],[2,1,1,1],[7,1,2,1,6,2,7,2,6,-1],[5,1,8,1],[5,1,9,-1,8,1,5,1,8,1,
9,1]],[[1,1,2,1],[1,1,2,-1,3,-2,2,1,3,2],[4,2],[1,1,2,1],[2,1,1,1],[7,1,2,1,6,
2,7,2,6,-1],[5,1,8,1],[8,1,5,1],[10,1,9,-1,8,-2,9,2,10,1]]],[[[1,1,2,1],[1,1,
2,-1,3,-2,2,1,3,2],[4,2],[1,1,2,1],[2,1,1,1],[7,1,2,1,6,2,7,2,6,-1],[5,1,8,
1],[8,1,5,1],[9,1,8,1,10,-1,9,2,10,1]],[[1,1,2,1],[1,1,2,-1,3,-2,2,1,3,2],[4,
2],[1,1,2,1],[2,1,1,1],[7,1,2,1,6,2,7,2,6,-1],[5,1,8,1],[8,1,5,1],[8,1,10,2,8,
1,9,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,2,6,3,5,
-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,-2,4,1,2,2,4,1]],[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,2,4,1,2,1,5,-2,2,-1]]],[[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-2,6,-1,5,2,6,1]],[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,2,4,1,2,-2,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[4,1,2,-1,4,1,2,-1,5,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,4,1],[2,1,5,1],[6,1,7,-1,5,-1,6,1,7,1,5,1]],[[2,1,1,1],[1,1,
2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,2,2,5,2,2,1,5,1]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,5,-1,2,
-1,4,1,2,-1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,2,5,3,2,
1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1,6,
-1,5,-1,4,1,5,-1,6,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,
5,1],[5,2,6,3,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[
6,1,2,1,5,3,4,1,6,1,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,
2,5,1,2,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,-1,4,1,2,1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1,6,-1,2,-1,6,-1,5,-2,
2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,6,1,5,1,6,
-1,5,2,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,5,1,2,1,5,
1,4,1,2,-1,5,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,
1,2,-1,5,-2,6,1,2,2,4,1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[
4,1,2,-1],[5,1,2,-1,4,1,5,1],[7,1,6,-1,7,1,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[2,1,4,1],[2,2,4,1,2,1,5,-2,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[2,1,4,1],[4,1,2,-1],[6,1,5,-2,2,-1,4,1,2,1,5,2,6,-1]],[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,5,3,4,1,6,1,2,1,4,1]],[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,2,2,5,-1,2,-1,4,1,2,-1]]],[[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-2,6,-1,5,2,6,1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,2,4,1,2,1,5,-2,2,-1]],[[2,1,1,1],[1,1,
2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,2,-2,4,1,2,2,5,-1]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[2,1,4,1],[5,1,2,2,5,-1,2,-1,4,1,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-2,6,-1,5,2,6,1]],[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,1],[6,1,5,1,4,1,2,-1,6,-1]],[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,2,-2,4,1,2,2,5,-1]]],[[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[2,1,4,1],[5,1,2,2,5,-1,2,-1,4,1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,
2,-1,3,1],[2,1,4,1],[5,2,2,-2,4,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,
1,4,1],[2,2,4,1,2,1,5,-2,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[4,1,2,-1,5,-1,2,1,4,1,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[2,1,4,1,2,-1],[5,1,6,1,5,-1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,
4,1],[4,1,2,1,5,-1,2,-1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,2,4,1,2,
-1,4,1,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-2,5,1,4,
1,2,-1,5,1,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,2,1,5,
4,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,-1,4,1,2,1]]],[[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,2,5,1,6,1,2,-1,5,-2,6,-1]],[[2,
1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,5,2,6,-1,5,-1]],[[
2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,2],[5,1,2,1,4,1,5,1]]],[[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,2,6,2,2,1,6,1,5,-1]],[[2,1,1,1],[1,1,
2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,6,2,2,1,5,2,6,1]],[[2,1,1,1],[1,1,
2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,2,4,1,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[2,1,5,3,4,1,2,-2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,-2,4,1,2,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,5,-1,
2,1,4,1,2,-1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,4,1,
2,-1,5,2]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,
4,1],[4,1,5,-2,7,-1,6,2,7,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,
1],[4,1,5,1],[5,1,4,1],[7,1,6,-1,5,-1,6,1,5,1,7,-1]],[[2,1,1,1],[3,1,2,-1,1,1,
3,1,2,-1],[1,1,2,-1,1,1],[5,1,4,1],[6,1,5,2,6,-1,5,-1,4,1,5,-1]],[[2,1,1,1],[
3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,-1,4,1,5,1,4,1]]],[[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-2,6,-1,5,2,6,1]],[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,1,4,1,2,-1,4,1,2,-1,5,1]],[[2,1,1,1],[1,1,
2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,2,2,5,-1,2,-1,4,1,2,-1]],[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[2,1,4,1],[2,2,4,1,2,1,5,-2,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-2,6,-1,5,2,6,1]],[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,5,-1,2,-1,5,1,2,1,6,-1]],[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,2,2,5,-1,2,-1,4,1,2,-1]],[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[4,1,2,-1,4,1,2,1,4,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,5,3,6,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,4,1,5,-2,2,-1,4,1,2,-1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[2,2],[5,1,2,1,4,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,
1,2,-1,5,-1,4,1,2,1,4,1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[
4,1,2,-2,5,-2,2,1,4,1,5,-2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,
1,5,1],[5,1,6,1,2,1,4,1,6,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
-2,4,1,2,2,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,
2,1,5,1,6,-1,5,2,6,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,
1],[2,1,5,1],[6,1,7,-1,5,-1,6,1,7,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[
4,1,2,1],[2,1,4,1],[5,1,6,-2,2,-1,5,-2,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[2,1,4,1,2,1,4,1,2,-1,4,1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,
1],[5,1,4,1,2,1,5,-1,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,
1,4,1],[6,1,2,1,5,3,6,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,2,5,
2,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,5,-2,2,-1,4,1,2,
-1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,-1,5,-1,4,1,2,1,
4,1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,2,1,6,
-1,5,2,2,1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,1],[5,1,
6,1,2,1,4,1,6,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[
5,1,2,1,5,1,6,-1,5,2,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,
2,1,5,-1,2,-1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[
5,1,6,3,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,-1,4,1,2,1,4,
1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,-1,4,1,2,1]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,-4,2,-1,4,1,2,-1]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,2,2,1,6,1,2,1,6,-1,5,1]]],[[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,1],[6,1,5,1,4,1,2,-1,6,-1]],[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,1,5,-1,4,1,2,1,4,1,5,1]]],[[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-2,5,-2,2,1,4,1,5,-2]],[[2,1,1,1],[1,1,
2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,1],[5,1,6,1,2,1,4,1,6,1,5,1]],[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-2,4,1,2,-1,5,-2]],[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,2,1,5,1,6,-1,5,2,6,1]]],[[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,6,3,2,1,5,2]],[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-2,4,1,2,-1,5,-2]],[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,2,1,5,1,6,-1,5,2,6,1]],[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-2,5,-2,2,1,4,1,5,-2]]],[[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,2,6,1,2,1,6,2]],[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,5,-2,2,-1,4,1,2,-1,5,1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,4,1,2,1,5,-1,2,-1]],[[2,1,1,1],[1,1,
2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,5,1,2,1,5,1,4,1,2,-1,5,2]]],[[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,5,2,2,1,4,1,2,-1,5,2]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,5,-2,2,-1,4,1,2,-1,5,1]],[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,2],[5,1,2,1,4,1,5,1]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,5,3,6,2]]],[[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[2,1,5,3,4,1,2,-2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,1,4,1,5,-1,2,1,4,
1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,6,3,4,
1,5,-2]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,
-1],[1,1,2,-1,1,1],[4,1,5,1],[4,1,5,-1,6,1,4,1,6,-1,5,1,4,1]]],[[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,3,4,1,2,-2]],[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[2,2],[5,1,2,1,4,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[4,1,5,-1,2,1,4,1,2,-1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[2,1,5,3,4,1,2,-2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,
5,-1,2,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,-1,4,1,2,-1,4,1,2,
2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,6,2,2,1,5,2,
6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,2,5,1,2,1,5,1,2,-1,4,1,
5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,2,5,-1,4,1,2,1,5,-1,2,
-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-2,5,1,2,1,4,1,2,
-1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,1,5,-1,4,1,2,1,5,
2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,2,2,1,4,1,2,-1,5,-2]]],[[[
2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1],[5,1,2,1],[6,1,5,1,7,1,
6,1,7,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1],[6,1,5,1,2,
1,6,1,5,1,2,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,2,2,5,
-1,2,-1,4,1,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[
2,1,5,2,6,1,5,-1,2,-2,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,
2,2,-2,4,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,2,-1,5,
-4,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,1,6,
1,2,1,6,1,5,-1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[
2,1,6,2,2,1,5,2,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,2,5,-1,
4,1,2,1,5,-1,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,2,
-1,5,-4,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,1,5,-1,2,-1,4,
1,5,3]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,6,2,2,1,
5,2,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1,2,2,4,1,2,2]]],[[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,5,2,2,1,4,1,2,-1,5,2]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,5,-2,2,-1,4,1,2,-1,5,1]],[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,2,5,2,2,1]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,5,3,6,2]]],[[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,5,3,6,2]],[[2,1,1,1],[1,1,2,1,3,-1,
2,-1,3,1],[4,1,2,1],[2,2,5,2,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,2],[
5,1,2,1,4,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,5,-2,
2,-1,4,1,2,-1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[
4,1,2,-2,5,1,6,-1,5,1,4,1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[
2,1,4,1],[6,1,2,1,5,4,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,
2,-1,5,2,4,1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,
1,5,1,6,-1,5,1,6,-1,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,
1,2,-2,5,-2,2,1,4,1,5,-2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,
5,1],[5,1,6,1,2,1,4,1,6,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,-2,
4,1,2,2,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,4,1,
6,2,5,-1,2,-1,5,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,2,4,1,
2,1,5,-2,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,2,2,-1,4,1,2,
1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,-1,5,-1,4,1,2,1,4,
1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,3,4,1,2,-2]],[[
2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,-1,4,1,2,1,4,1]],[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[4,1,2,-1,4,1,2,-1,4,1,2,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,5,3,4,1,2,-2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,-1,4,1,
2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,-2,2,2,4,
1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,3,4,1,2,-2]],[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,-2,4,1,2,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[4,1,2,-1,5,1,4,1,5,-1,2,1,4,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,
2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,1,6,-1,5,1,6,-1,2,-1]],[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[4,1,2,-1],[5,1,4,1,2,-1,5,1,4,1,2,1]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[2,2],[5,1,2,1,4,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,
2,1],[2,1,4,1],[2,1,5,2,6,-2,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,
2,1],[4,1,2,-1],[6,1,5,-2,2,-1,6,1,5,2,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[2,1,4,1],[5,1,2,2,5,-1,2,-1,4,1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[4,1,2,-1,5,2,4,1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,
4,1],[2,1,5,1,2,-1,4,1,5,2,2,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[2,1,4,1],[2,1,6,2,2,1,5,2,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,
1],[5,1,2,2,5,-1,2,-1,4,1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[4,1,2,-1,5,2,4,1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,1,
5,1,2,-1,4,1,5,2,2,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,
1],[5,1,2,1,6,-3,4,1,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,2],[5,1,2,1,
4,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,2,1,5,4,2,
1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,-1],[5,1,4,1,2,1],[6,1,4,1,2,-1,
6,-1,5,-1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,
1,4,1,5,2,6,1,4,1,5,-1,6,2]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,
1],[4,1,5,1],[5,1,4,1],[5,1,7,2,5,1,6,2,7,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,
-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,6,2],[7,2,5,1,4,1]],[[2,1,1,1],[3,1,2,-1,1,
1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[4,1,5,-1,6,2,4,1,5,-1]]],[[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,2,2,5,1,4,1,2,-1,5,2]],[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,6,2,2,1,5,2,6,1]],[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,2],[6,2,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,2,4,1,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,2,6,-2,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[4,1,5,-2,2,2,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,
2,1],[4,1,2,-1,5,2,4,1,2,-1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,
1,1],[4,1,5,1],[4,1,5,-2,6,-2,5,1,6,2,4,1,5,-1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,
2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[7,1,5,1,7,1,6,-1,5,2,6,1]],[[2,1,1,
1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,-1,4,1,5,-1,4,1,5,-1,6,
2,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-2,5,-2,2,1,5,2,
4,1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,6,
1,5,-1,2,2,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,-1,4,1,2,-1,
4,1,2,-1,5,2,2,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,2,2,1,4,
1,2,-2,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,1,4,1,5,-1,2,1,4,
1,2,-1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[6,2,5,
1,4,1,5,-2,6,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[
6,1,4,1,6,-1,5,1,4,1,5,-1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,
1],[4,1,5,1],[5,1,4,1],[5,2,6,1,5,1,7,-1,6,-1,7,1]],[[2,1,1,1],[3,1,2,-1,1,1,
3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[7,1,5,1,7,-1,6,2,5,1,6,1]]],[[[
2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,2,5,1,2,1,6,-1,5,-1,6,
1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,6,-1,5,2,
2,1,5,1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,
4,1],[5,1,7,-1,6,1,7,1,6,-2,5,-1,7,-1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,
1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[7,1,6,-1,5,-1,6,-1,7,2]],[[2,1,1,1],[3,1,2,
-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,2,6,1,4,1,5,-1,6,2,5,1]]],[[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,6,-1,5,1,6,1,5,-2,2,-1,
6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,5,-1,2,-1,
5,-1,6,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,2,5,1,4,1,2,-1,5,2,
2,1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[6,2,4,1,
5,-1,6,2,5,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[6,
1,4,1,5,-1,4,1,5,-1,6,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,2,
4,1,2,-1,5,2,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,1,4,1,2,-1,
4,1,2,-1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-2],[6,1,
5,1,6,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,2,-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],[5,2,4,1,2,-1,
4,1,2,-2,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,6,
-1,5,2,6,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,2,2,
1,6,2,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,2,2,1,4,1,2,
-2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,2,-1,5,2,2,1]],[[
2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,2,4,1,2,-1,4,1,2,-1]]],[[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,1,4,1,2,-1,5,1,2,1]],[[2,1,1,1],[1,1,
2,1,3,-1,2,-1,3,1],[4,1,2,-1,4,1,2,1,4,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,4,1,2,-1,5,-1,2,-1,5,-2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[5,1,4,1,2,-1,5,2,2,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,
1,2,-2,4,1,2,-2,4,1,2,-2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,-1,4,1,2,
2,4,1,2,2]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[6,
1,4,1,5,-1,4,1,5,-2,6,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[
4,1,5,1],[5,2,4,1,6,-1,5,1,6,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[5,1,4,1,2,-1,4,1,2,-2,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[
2,2,4,1,5,-1,2,1,5,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,2,4,
1,5,-3]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,4,1,2,-1,5,
2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,2,2,1,4,1,2,-1,5,-2]],[[
2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,2,5,1,2,1,5,1]],[[2,1,1,1],[1,1,
2,1,3,-1,2,-1,3,1],[4,1,2,-1,4,1,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[2,1,4,1],[5,1,2,-2,4,1,2,2,5,-1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,
1,2,-1,1,1],[4,1,5,1],[6,2,5,1,4,1,5,-1,6,-2]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,
-1],[1,1,2,-1,1,1],[4,1,5,1],[5,2,6,1,5,1,6,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,
2,-1],[1,1,2,-1,1,1],[4,1,5,-1,4,1,5,1,4,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,
-1],[1,1,2,-1,1,1],[5,1,4,1],[6,1,5,-2,4,1,5,2,6,-1]]],[[[2,1,1,1],[3,1,2,-1,
1,1,3,1,2,-1],[1,1,2,-1,1,1],[5,1,4,1],[5,2,6,-1,4,1,5,1,6,-1,5,-1]],[[2,1,1,
1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[4,1,6,-2,5,2,4,1]],[[2,1,
1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[4,1,5,-1,6,2,4,1,5,
-1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[5,2],[6,1,5,1,4,1,6,
1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,2,5,-1,4,1,2,1,5,-1,2,
-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,5,-2,2,2,4,1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,2,4,1,2,-1]],[[2,1,1,1],[1,1,
2,1,3,-1,2,-1,3,1],[2,2],[5,1,2,1,4,1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,5,2],[2,1,4,1,6,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,
4,1],[5,1,4,1,2,1,5,-1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,
1,2,-1,4,1,5,1,2,-1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,
1,5,1],[5,1,6,2],[5,1,4,1,7,2]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,
1,1],[5,1,4,1],[6,1,4,1,5,1,6,-1,5,-1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,
1,2,-1,1,1],[5,1,4,1],[6,1,5,-1,4,1,6,1,5,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[2,1,4,1],[2,2,5,-1,4,1,2,1,5,-1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[4,1,2,-2,4,1,2,2,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,-1,4,1,2,
1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,2,2,1,4,1,2,-1,5,-2]]],[[[
2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-2,6,-1,5,2,6,
1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,1,4,1,2,-1,4,1,2,-1,5,
1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1,2,1,4,1,2,-1,4,1,2,-1]],[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,2,-2,4,1,2,2,5,-1]]],[[[2,1,1,1],[
3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[7,1,5,2,6,1,7,1,6,
2,5,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,
1],[6,1,5,1,6,1,7,3]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,
5,1],[5,-1,4,1,5,-1,4,1,5,-1,6,2,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[
4,1,2,1],[2,1,4,1],[6,1,2,2,5,1,6,1,5,2,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,4,1],[5,1,2,1,5,1,6,3]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[
4,1,2,1],[2,-1,4,1,2,-1,4,1,2,-1,5,2,2,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[4,1,5,-1,2,1,4,1,2,-1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[
2,1,4,1],[4,1,2,1,5,-3,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[
5,2,4,1,2,-1,5,1,2,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,
2,-2,4,1,2,2,5,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[
2,1,6,-1,5,2,4,1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,5,-1,
2,1,4,1,2,-1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,3,2,1,
4,1,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,6,-1,
5,2,6,-1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,1],[5,1,6,
2,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,-1,4,1,2,1]]],[[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,1,5,3,2,-2,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,
2,-1,3,1],[4,1,2,1],[4,1,5,-2,2,2,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,
1,2,1],[4,1,2,-1,5,2,4,1,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,
1],[5,2,2,-1,4,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,2,-1,
4,1,5,1,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,2,4,1,2,1,5,
-2,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,1,4,1,2,-1,5,1,4,
1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1,5,
-1,6,3]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[4,1,2,1],[2,1,4,1,2,-1,5,3]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1]]],[[[2,
1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,2,6,3,5,-1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,2,5,1,6,-2,5,-1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,-1,5,-1,4,1,2,1,4,1,5,1]]],[[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-2,5,1,2,1,5,1,4,1,2,-1]],[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,2,2,-1,4,1,5,2]],[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,1,4,1,5,-1,2,1,4,1]]],[[[2,1,1,1],[1,1,
2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,5,-1,2,1,4,1,2,-1,5,1]],[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[2,1,4,1],[5,2,2,-1,4,1,5,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-2,6,-1,5,2,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[5,1,4,1,2,-1,5,1,4,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,4,1],[2,1,5,2,6,-2,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[5,2,4,1,2,-2,5,-1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,
-1,1,1],[4,1,5,1],[5,1,4,1],[5,1,6,2,7,-2,5,-1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,
2,-1],[1,1,2,-1,1,1],[4,1,5,1],[6,2,4,1,5,-2,6,-1]]],[[[2,1,1,1],[3,1,2,-1,1,
1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[6,2,7,2,5,2,6,1]],[[2,1,1,1],[
3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[5,1,4,1],[6,1,5,1,6,-1,4,1,5,1,6,1,5,
2]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[7,
1,5,2,6,2,7,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,2,
6,2,2,2,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,2,1,5,-1,4,1,
2,1,5,1,2,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,2,
5,2,6,2]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,
4,1,5,-1],[7,1,6,-1,7,1,6,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,
1],[5,1,4,1],[5,1,6,1,5,-1,4,1,6,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,
1,2,1],[2,1,4,1,2,-1],[6,1,5,-1,6,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[
2,1,4,1],[2,1,5,1,2,-1,4,1,5,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[2,1,4,1],[6,1,2,1,6,1,5,-1,6,1,5,-2,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1,5,2,2,1,6,2,5,-1]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[2,2],[5,1,2,1,4,1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,
1,2,1],[5,1,2,1,4,1,2,-1,5,-2,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,
2,1],[4,1,5,-2,2,2,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,-1,4,1,2,1,
4,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,2,4,1,2,1,5,-2,2,
-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,1,2,1,4,1,2,-1,5,-2,2,
-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,-1,4,1,2,1]]],[[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,2,1,5,1,6,-2,5,-1]],[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,2,-1],[6,1,5,1,6,1,5,1]],[[2,1,1,1],[1,1,
2,1,3,-1,2,-1,3,1],[4,1,2,-2,4,1,2,2,4,1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,
-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[6,1,7,2,5,1,7,-1,6,1]],[[2,1,1,1],[3,
1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,2,6,1,4,1,5,-1,6,-1,5,
-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,6,2,2,1,6,
-1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,2,5,1,4,1,2,-1,5,-1,
2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,2,4,1,5,-2,2,-1,5,
-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,1,4,1,2,-1,4,1,2,-1,5,
1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,2,4,1,2,1,5,-2,2,-1]]],[[[
2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[5,1,6,2,
7,-2,5,-1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[4,1,
5,-1,6,2,5,1,6,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[
2,1,5,2,6,-2,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,
2,2,1,5,1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,
1,4,1],[4,1,5,-1],[8,2,6,1,7,-1,6,-1,7,1,5,-1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,
2,-1],[1,1,2,-1,1,1],[5,1,4,1],[5,1,6,-1,4,1,5,1],[6,1,7,2]]],[[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[7,2,5,1,6,-1,5,-1,6,1,2,
-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,1,5,-1,4,1,2,1],[5,1,6,
2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,1],[2,1,4,1,6,1,5,2,
6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,2,4,1,2,-1,4,1,2,-1]],[[
2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,2,-1,4,1,5,1,2,-1]]],[[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,-1,2,-1,5,-2,2,1,4,1,2,
-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,1,5,-1,2,-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],[4,1,2,-1,5,1,4,1,5,-1,
2,1,4,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,2,1,5,
1,6,-2,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,1,5,3,2,-2,4,
1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,5,-3,2,2,4,1]]],[[[
2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-2,4,1,2,-1,5,2,2,1]],[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,2,-2,4,1,2,2,5,-1]],[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,2,4,1,2,-1,4,1,2,-1]]],[[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,2,2,1,5,1,2,1,5,1]],[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[2,1,4,1],[2,1,5,-1,4,1,2,1],[5,1,6,2]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[2,1,4,1],[5,1,2,-1,4,1,5,1,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,2,1,5,1,6,-2,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,
2,-1,3,1],[4,1,2,1],[4,1,2,-2,5,2,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,
1,2,1],[4,1,2,-1,5,2,4,1,2,-1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,
-1,1,1],[4,1,5,1],[5,1,4,1],[6,1,5,1,6,1,7,-2,6,-1]],[[2,1,1,1],[3,1,2,-1,1,1,
3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[4,1,5,-2,6,2,5,1]],[[2,1,1,1],[3,1,2,-1,1,
1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[4,1,5,-1,6,2,4,1,5,-1]]],[[[2,1,1,1],[3,
1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,6,1],[6,1,7,2,5,1,4,1]],[[
2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,2,6,2,5,1]]],[[[
2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,1],[5,1,6,2,2,1,4,1]],[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,2,5,2,2,1]]],[[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,6,-1,2,-1,5,1,6,2]],[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,4,1,2,-1,5,2]]],[[[2,1,1,1],[3,1,2,-1,1,1,
3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[6,1,7,-1,5,-1,6,1,7,2]],[[2,1,1,
1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[4,1,5,-1,4,1,5,-1,6,
2]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[4,1,5,-1,6,
3,5,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[6,2,4,1,
5,-1,4,1,5,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1,2,-2,4,1,2,-2,4,
1,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,1,2,1,5,
2]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[5,1,4,1,5,-2,4,1,5,
-2,4,1,5,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[4,1,
5,-1,6,1,5,1,6,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,
3,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,2,4,1,2,-1,4,1,2,
-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1,5,2,2,
1,6,2,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,
5,2,6,1,2,1,6,1,5,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,
1],[2,1,6,-1,5,2,6,-1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,
1,5,2,4,1,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,1,2,1,5,2,4,
1,2,1,4,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,6,
-1,5,2,6,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,2,2,5,-1,2,-1,
4,1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,2,4,1,2,-1,5,1,2,1,
5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,6,-1,
5,2,2,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,6,
-2,5,-1,2,-1]]],[[[1,1,2,1],[1,1,2,-1,3,-2,2,1,3,2],[4,2],[1,1,2,1],[2,1,1,
1],[7,1,2,1,6,2,7,2,6,-1],[5,1,8,1],[9,2,8,-2,5,1]],[[1,1,2,1],[1,1,2,-1,3,-2,
2,1,3,2],[4,2],[1,1,2,1],[2,1,1,1],[7,1,2,1,6,2,7,2,6,-1],[5,1,8,1],[8,1,5,1,
8,-2,9,1,5,1,8,-1,9,1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[
4,1,5,1],[6,2,5,1,6,1,4,1,5,1,4,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,
-1,1,1],[5,-1,4,1,5,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[5,
1,4,1],[6,2,5,-1,4,1,5,-2,6,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[5,2,2,1,5,1,4,1,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,-1,4,1,2,
1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,2,2,-1,4,1,2,-2,5,
-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-2,5,2,2,1]],[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,4,1,2,-1,5,2]]],[[[2,1,1,1],[
3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[4,1,5,-2,6,2,5,1]],[[2,1,1,
1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[4,1,5,-1,4,1,5,-1,6,
2]]],[[[1,1,2,1],[1,1,2,-1,3,-2,2,1,3,2],[4,2],[1,1,2,1],[2,1,1,1],[7,1,2,1,6,
2,7,2,6,-1],[5,1,8,1],[8,1,9,1],[10,1,9,2,10,1]],[[1,1,2,1],[1,1,2,-1,3,-2,2,
1,3,2],[4,2],[1,1,2,1],[2,1,1,1],[7,1,2,1,6,2,7,2,6,-1],[5,1,8,1],[9,1,8,1,9,
1,8,1,5,1,8,-1,9,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,2,2,
5,-1,2,-1,4,1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,2,2,-2,4,
1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,2,4,1,2,1,5,-2,2,
-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,2,-2,4,1,2,2,5,
-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-2,6,-1,
5,2,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,1],[6,1,5,1,4,1,
2,-1,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,2,-2,4,1,2,2,5,
-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1,2,1,4,1,2,-1,4,1,2,-1]]],[[[
2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,1,2,1,5,3,6,2]],[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,2,5,2,2,1]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[2,2],[5,1,2,1,4,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,
2,1],[2,1,4,1,5,-2,2,-1,4,1,2,-1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,
1,2,1],[2,1,4,1,5,1,2,1,5,1,4,1,2,-1,5,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,4,1],[5,1,2,1,5,1,6,-1,5,2,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[2,1,4,1],[5,2,6,2,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[2,1,4,1],[5,1,4,1,2,1,5,-1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,
1,4,1,2,1,4,1,2,-1,4,1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,
1,2,-1,5,-1,2,-1,4,1,2,1,5,2]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,
1,1],[4,1,5,1],[5,1,6,3,4,1,5,-2]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,
-1,1,1],[4,1,5,1],[5,-2,6,2]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1]]],[[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,3,4,1,2,-2]],[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[4,1,2,1],[2,-2,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1]]],[[[
2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,3,4,1,2,-2]],[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,
5,1,4,1,5,-1,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,-1,
5,-1,4,1,2,1,4,1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,
3,4,1,2,-2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,-1,4,1,2,1]],[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,-2,2,2,4,1]],[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[4,1,2,1],[4,1,5,-1,2,1,4,1,2,-1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-2,6,-1,5,2,6,1]],[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[2,1,4,1],[5,2,2,-1,4,1,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[2,1,4,1],[4,1,2,-1,5,-1,4,1,2,1,4,1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,
2,-1,3,1],[4,1,2,1],[2,1,5,3,4,1,2,-2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,
1,2,1],[2,-2,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,-1,4,1,2,1]]],[[[
2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,2,1,5,1,6,-2,5,-1,6,
1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,6,3,2,1,
5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,2,-1],[6,1,5,-1,6,
1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,1,5,-1,2,-1,5,
1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,2,1,5,1,6,
-2,5,-1,6,1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,1],[5,
1,6,1,2,1,4,1,6,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,
-1,5,1,4,1,5,-1,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,
1,5,-1,2,-1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,3,4,1,
2,-2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,-1,4,1,2,1]],[[2,1,1,1],[1,1,
2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,-2,2,2,4,1]]],[[[2,1,1,1],[3,1,2,-1,
1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[5,1,7,2,5,1,6,2,7,1]],[[2,1,
1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[5,1,4,1,5,2,4,1,5,2]],[[2,1,1,
1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,-1,4,1,5,1,4,1]]],[[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,6,2,2,1,5,2,6,1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1,2,2,4,1,2,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,-1,4,1,2,1,4,1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,
-1,1,1],[4,1,5,1],[4,1,5,-2,4,1,5,-1,6,2,5,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,
-1],[1,1,2,-1,1,1],[5,1,4,1,5,2,4,1,5,-2,4,1,5,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,
1,2,-1],[1,1,2,-1,1,1],[5,1,4,1],[6,1,5,-1,4,1,6,1,5,-1]]],[[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-2,4,1,2,-1,5,2,2,1]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[2,1,4,1,2,2,4,1,2,-2,4,1,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[2,1,4,1],[5,1,2,-1,4,1,5,1,2,-1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,
1,2,-1,1,1],[4,1,5,1],[4,1,5,-2,6,1,5,1,6,1,4,1,5,-1]],[[2,1,1,1],[3,1,2,-1,1,
1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,6,2,5,1,4,1,5,2]]],[[[2,1,1,1],[1,1,
2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-2,5,1,2,1,5,1,4,1,2,-1]],[[2,1,1,1],[1,1,
2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,2,2,1,4,1,2,2]]],[[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,2,-1,5,-3]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[4,1,2,-1,5,2,4,1,2,-1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,
1,2,-1,1,1],[4,1,5,1],[5,1,4,1,5,-1,6,-3]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,
-1],[1,1,2,-1,1,1],[4,1,5,1],[4,1,5,-1,6,2,4,1,5,-1]]],[[[2,1,1,1],[3,1,2,-1,
1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[6,1,5,1,4,1,5,-2,6,1]],[[2,1,1,1],[3,
1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[4,1,5,-1,4,1,5,-1,6,2]]],[[[2,
1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,1,2,1,4,1,2,-2,5,1]],[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,4,1,2,-1,5,2]]],[[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[2,1,4,1],[2,2,4,1,2,1,5,-2,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,
2,-1,3,1],[4,1,2,-2,4,1,2,1,4,1,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[
2,1,4,1,2,-1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[5,1,4,1],[
5,2,6,-1,4,1,5,1,6,-1,5,-1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,
1],[4,1,5,1],[4,1,5,-1],[7,1,5,-1,6,1,7,1,6,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,
2,-1],[1,1,2,-1,1,1],[5,1,4,1],[6,1,5,2,6,-1,5,-1,4,1,5,-1]]],[[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,2,5,-1,4,1,2,1,5,-1,2,-1]],[[2,1,1,1],[1,1,
2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1],[6,1,2,-1,5,1,6,1,5,1]],[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,2,2,5,-1,2,-1,4,1,2,-1]]],[[[2,1,1,1],[3,
1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[5,2],[6,1,5,1,4,1,6,1]],[[2,1,1,1],[3,1,
2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[5,1,4,1,5,-1,4,1,5,-1]]],[[[2,1,1,1],[1,1,
2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,4,1,2,1,5,-1,2,-1]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[2,-1,4,1,2,-1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[2,2],[5,1,2,1,4,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1,2,-1,
4,1,2,-1]]],[[[1,1,2,1],[1,1,2,-1,3,-2,2,1,3,2],[4,2],[1,1,2,1],[2,1,1,1],[7,
1,2,1,6,2,7,2,6,-1],[5,1,8,1],[8,1,9,3,8,1]],[[1,1,2,1],[1,1,2,-1,3,-2,2,1,3,
2],[4,2],[1,1,2,1],[2,1,1,1],[7,1,2,1,6,2,7,2,6,-1],[5,1,8,1],[9,2],[10,2,8,1,
5,1]]],[[[1,1,2,1],[1,1,2,-1,3,-2,2,1,3,2],[4,2],[1,1,2,1],[2,1,1,1],[7,1,2,1,
6,2,7,2,6,-1],[5,1,8,1],[8,1,9,1],[9,1,10,2,9,1]],[[1,1,2,1],[1,1,2,-1,3,-2,2,
1,3,2],[4,2],[1,1,2,1],[2,1,1,1],[7,1,2,1,6,2,7,2,6,-1],[5,1,8,1],[5,1,9,-1,8,
1,5,1,8,-1,9,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,1,4,1,
2,-1,4,1,2,-2,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,1,5,
-1,2,-1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-2,5,3,2,
1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,2,-2,4,1,2,2,5,-1]]],[[[
2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-1],[7,2,5,1,6,-1,
5,-1,6,1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,1,4,
1,5,-1,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,-1,
2,-1,5,-1,2,1,4,1,5,2,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,
2,-1,5,2,2,1,5,1,2,1,5,1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,
1],[4,1,5,1],[5,1,4,1],[6,1,5,1,7,-2,6,1,5,1,6,1,7,-1]],[[2,1,1,1],[3,1,2,-1,
1,1,3,1,2,-1],[1,1,2,-1,1,1],[5,1,4,1],[5,2,6,1,5,1,6,-1,5,-1,4,1,6,1]],[[2,1,
1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[6,2,5,1,4,1,5,-1,6,
-2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,2,1,6,-2,5,
1,2,1,5,1,6,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,2,5,1,2,1,5,
-1,2,-1,4,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,2,2,1,4,1,2,
-1,5,-2]]],[[[1,1,2,1],[1,1,2,-1,3,-2,2,1,3,2],[4,2],[1,1,2,1],[2,1,1,1],[7,1,
2,1,6,2,7,2,6,-1],[8,1,5,1,8,-2,5,1,8,-1]],[[1,1,2,1],[1,1,2,-1,3,-2,2,1,3,
2],[4,2],[1,1,2,1],[2,1,1,1],[7,1,2,1,6,2,7,2,6,-1],[5,1,8,1],[9,1,8,1,5,1,8,
-1,9,2,8,1]],[[1,1,2,1],[1,1,2,-1,3,-2,2,1,3,2],[4,2],[1,1,2,1],[2,1,1,1],[7,
1,2,1,6,2,7,2,6,-1],[5,1,8,1],[8,1,5,1],[8,1,10,2,8,1,9,2]]],[[[2,1,1,1],[1,1,
2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-2,6,-1,5,2,6,1]],[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,2,-1,5,-1,2,1,5,1]],[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[2,1,4,1],[2,1,5,2,2,-2,4,1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,
2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[4,1,5,-2,7,-1,6,2,7,1]],[[2,1,1,1],[
3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1,5,-1,6,-1,5,1,6,
1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[5,1,4,1],[5,1,6,2,5,-2,
4,1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[4,1,5,
-1],[6,1,5,1],[7,1,6,1,8,1,7,1,8,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,
2,-1,1,1],[4,1,5,1],[4,1,5,-2],[7,1,6,1,7,1,6,1]]],[[[2,1,1,1],[3,1,2,-1,1,1,
3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[6,2,5,1,4,1,5,-2,6,1]],[[2,1,1,1],[3,1,2,
-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[5,1,4,1,5,2,4,1,5,2]],[[2,1,1,1],[3,1,2,-1,1,
1,3,1,2,-1],[1,1,2,-1,1,1],[5,1,4,1,5,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,4,1],[2,1,5,2,6,-2,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[5,2,2,1,4,1,2,-2,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,
2],[5,1,2,1,4,1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,2,2,1,
4,1,2,-2,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1,2,2,4,1,2,2]],[[2,
1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1,2,-1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,
2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[5,1,6,2,7,-2,5,-1]],[[2,1,1,1],[3,1,
2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[6,2,5,1,4,1,5,-2,6,1]],[[2,1,1,
1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[5,2],[6,1,5,1,4,1,6,1]]],[[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1],[5,1,2,1],[6,1,5,1,7,1,6,1,7,
1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-2],[6,1,5,1,6,1,5,
1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,2,2,-1,4,1,5,2]],[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,-1,4,1,2,1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,
-1],[1,1,2,-1,1,1],[5,1,4,1],[6,2,5,-1,4,1,6,2]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,
2,-1],[1,1,2,-1,1,1],[5,-1,4,1,5,1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,
1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[7,2,6,-1,5,1,6,1,7,1]],[[2,1,1,1],[3,1,2,-1,
1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1,5,-1,6,3]],[[2,1,1,1],[3,1,2,
-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[4,1,5,-1,6,1,4,1,6,-1,5,1,4,
1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[6,2,5,-1,2,1,5,
1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,2,-1,5,3]],[[2,
1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,1,4,1,5,-1,2,1,4,1]]],[[[
2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[5,1,6,1,
7,-1,6,1,7,2]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[6,
1,4,1,5,-1,6,2]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[
5,1,4,1],[6,1,5,1,6,1,7,-2,6,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[2,1,4,1],[2,1,5,1,6,-1,5,1,6,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,
2,1],[5,1,4,1,2,-1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,
1],[5,1,2,1,5,1,6,-2,5,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,
1,2,2,5,-1,2,-1,4,1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,1,
2,1,4,1,2,-1,5,-1,2,-2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,
-1,5,2,4,1,2,-1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[5,1,4,
1],[6,1,5,2,6,-1,5,-1,4,1,5,-1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,
1,1],[4,1,5,1],[6,1,5,1,4,1,5,-1,6,-1,5,-2]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,
-1],[1,1,2,-1,1,1],[4,1,5,1],[4,1,5,-1,6,2,4,1,5,-1]]],[[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,1,4,1,5,-1,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,6,-1,5,-1,6,1,5,-1]],[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[4,1,2,-2,4,1,2,2,4,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[2,1,4,1],[2,1,5,-1,4,1,2,1,4,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[
2,2],[5,1,2,1,4,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1,2,1,4,1,2,
-1,4,1,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,5,-1,2,1,4,
1,2,-1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,2,2,-1,4,1,5,
2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,2,-1,4,1,5,1,2,-1]]],[[[
2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[4,1,6,-1,5,1,4,1,5,
-1,6,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[5,1,4,1],[6,2,5,
-1,4,1,6,2]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[5,1,4,1],[6,1,
5,-1,4,1,6,1,5,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,
5,1,4,1,5,-1,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,2,2,-1,
4,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,2,2,1,4,1,2,-1,5,
-2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,2,-1,5,-1,2,-1,5,
-2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,6,-1,5,2,6,
1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[
6,2,7,-1,6,1,7,2]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,
1],[5,-1,6,2,5,1,4,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,
1],[5,2,6,-1,5,1,6,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,-1,5,2,
2,1,4,1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,
4,1],[5,1,6,1,7,-2,6,-1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[
4,1,5,1],[6,2,5,1,4,1,5,1,6,2]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,
1,1],[4,1,5,1],[4,1,5,-1,6,2,4,1,5,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[
4,1,2,1],[2,1,4,1],[2,1,5,1,6,-2,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,
1,2,1],[5,2,2,1,4,1,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,
1,2,-1,5,2,4,1,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,
1],[6,1,5,-2,2,1,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,2,4,1,
2,-1,4,1,2,-1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,
1],[5,1,4,1],[7,1,6,-2,5,1,7,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,
1,1],[4,1,5,1],[6,2,4,1,5,-1,4,1,5,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[
4,1,2,1],[2,1,4,1],[6,2,5,-1,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,
1,4,1],[2,1,5,-1,4,1,2,1,5,1,2,-2]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,
2,-1,1,1],[4,1,5,1],[5,1,4,1],[7,2,6,-1,5,1,6,2]],[[2,1,1,1],[3,1,2,-1,1,1,3,
1,2,-1],[1,1,2,-1,1,1],[5,1,4,1],[5,1,6,-1,4,1,5,1,6,1,5,-2]]],[[[1,1,2,1],[1,
1,2,-1,3,-2,2,1,3,2],[4,2]],[[1,1,2,1],[1,1,2,-1,3,-2,2,1,3,2],[4,2],[1,1,2,
1],[2,1,1,1],[7,1,2,1,6,2,7,2,6,-1],[5,1,8,1],[8,-2,9,1,8,1,5,1,8,-1,9,
1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-2,6,-1,5,
2,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,2,2,-1,4,1,2,1,4,
1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,2,4,1,2,1,5,-2,2,-1]],[[2,
1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,-1,5,-1,4,1,2,1,4,1,5,1]]],[[[
2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,-2,4,1,5,-1,4,1,5,
2]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[5,1,4,1,5,1,4,1,5,-1,4,
1,5,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,-2,4,1,2,-1,4,1,2,2]],[[
2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1,2,1,4,1,2,-1,4,1,2,-1]]],[[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,2,4,1,2,1,5,-2,2,-1]],[[2,1,1,1],[1,1,
2,1,3,-1,2,-1,3,1],[4,1,2,-2,4,1,2,-1,4,1,2,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[2,1,4,1],[5,1,2,-2,4,1,2,2,5,-1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[
1,1,2,-1,1,1],[5,1,4,1],[5,2,4,1,5,1,6,-2,5,-1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,
2,-1],[1,1,2,-1,1,1],[4,1,5,-2,4,1,5,-1,4,1,5,2]],[[2,1,1,1],[3,1,2,-1,1,1,3,
1,2,-1],[1,1,2,-1,1,1],[5,1,4,1],[6,1,5,-2,4,1,5,2,6,-1]]],[[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,2,6,-2,2,-1]],[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[4,1,2,1],[4,1,5,-2,2,2,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[2,1,4,1],[2,2,5,-1,4,1,2,1,5,-1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[4,1,2,-1,5,2,4,1,2,-1]]],[[[1,1,2,1],[1,1,2,-1,3,-2,2,1,3,2],[4,
2]],[[1,1,2,1],[1,1,2,-1,3,-2,2,1,3,2],[4,2],[1,1,2,1],[2,1,1,1],[7,1,2,1,6,2,
7,2,6,-1],[5,1,8,1],[8,1,9,1],[9,1,10,2,9,1]],[[1,1,2,1],[1,1,2,-1,3,-2,2,1,3,
2],[4,2],[1,1,2,1],[2,1,1,1],[7,1,2,1,6,2,7,2,6,-1],[8,1,5,1],[5,1,8,1,9,-1],[
10,1,9,-1,10,1,9,-1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[5,
1,4,1],[6,1,5,-2,4,1,5,2,6,-1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,
1,1],[4,1,5,1],[6,1,5,1,6,1,5,1,4,1,5,-2]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,
-1],[1,1,2,-1,1,1],[4,1,5,1],[6,1,4,1,5,-1,4,1,5,-1,6,1]]],[[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,2,-2,4,1,2,2,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,
2,-1,3,1],[4,1,2,1],[5,1,2,1,5,1,2,1,4,1,2,-2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[4,1,2,1],[5,1,4,1,2,-1,4,1,2,-1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,4,1],[2,1,6,-1,5,2,6,-1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[2,1,4,1,2,-2,4,1,2,-2,4,1,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[
4,1,2,1],[4,1,2,-1,5,1,2,1,5,2]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,
-1,1,1],[4,1,5,1],[5,1,4,1],[5,1,7,-1,6,2,7,-1,5,-1]],[[2,1,1,1],[3,1,2,-1,1,
1,3,1,2,-1],[1,1,2,-1,1,1],[5,1,4,1,5,-2,4,1,5,-2,4,1,5,1]],[[2,1,1,1],[3,1,2,
-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[4,1,5,-1,6,1,5,1,6,2]]],[[[1,1,2,
1],[1,1,2,-1,3,-2,2,1,3,2],[4,2],[1,1,2,1],[2,1,1,1],[7,1,2,1,6,2,7,2,6,-1],[
5,1,8,1],[8,1,9,2,8,1,5,1,8,-1]],[[1,1,2,1],[1,1,2,-1,3,-2,2,1,3,2],[4,2],[1,
1,2,1],[2,1,1,1],[7,1,2,1,6,2,7,2,6,-1],[5,1,8,1],[8,1,5,1],[9,2,10,2,9,
-1]]],[[[1,1,2,1],[2,1,1,1,2,1,3,2,1,1,2,-1,3,1,2,1],[4,2],[1,1,2,1],[2,1,1,
1],[7,1,6,-2,2,-1,7,-1,6,-2],[5,1,8,1],[8,1,9,2,8,1,5,1,8,-1]],[[1,1,2,1],[2,
1,1,1,2,1,3,2,1,1,2,-1,3,1,2,1],[4,2],[1,1,2,1],[2,1,1,1],[7,1,6,-2,2,-1,7,-1,
6,-2],[5,1,8,1],[8,1,5,1],[9,2,10,2,9,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,1,4,1,2,-1,5,-1,2,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[
4,1,2,1],[2,-1,5,2,2,1,4,1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,
1],[4,1,5,1],[5,1,4,1,5,-1,6,-1,5,1,6,2]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[
1,1,2,-1,1,1],[4,1,5,1],[5,-1,6,2,5,1,4,1]]],[[[1,1,2,1],[1,1,2,-1,3,-2,2,1,3,
2],[4,2],[1,1,2,1],[2,1,1,1],[7,1,2,1,6,2,7,2,6,-1],[5,1,8,1],[8,1,9,4,8,
1]],[[1,1,2,1],[1,1,2,-1,3,-2,2,1,3,2],[4,2],[1,1,2,1],[2,1,1,1],[7,1,2,1,6,2,
7,2,6,-1],[8,1,5,1],[5,1,8,1,9,-1],[9,1,10,-2]]],[[[1,1,2,1],[2,1,1,1,2,1,3,2,
1,1,2,-1,3,1,2,1],[4,2],[1,1,2,1],[2,1,1,1],[7,1,6,-2,2,-1,7,-1,6,-2],[5,1,8,
1],[8,1,9,4,8,1]],[[1,1,2,1],[2,1,1,1,2,1,3,2,1,1,2,-1,3,1,2,1],[4,2],[1,1,2,
1],[2,1,1,1],[7,1,6,-2,2,-1,7,-1,6,-2],[8,1,5,1],[5,1,8,1,9,-1],[9,1,10,
-2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[4,1,2,1,5,-1,2,-1,5,
1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,2,5,1,2,1,5,1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,-1,4,1,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[2,-1,4,1,2,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,
1,4,1,2,-1,5,-1,2,-2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,2],[6,
2,2,1,4,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,2,-2,4,1,2,2,
5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,2,5,2,2,1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1,2,1,4,1,2,-1,4,1,2,-1]]],[[[2,1,1,1],[3,1,
2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,6,1,4,1,5,-1,6,-1,5,-2]],[[2,
1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[6,2],[7,2,5,1,4,
1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,1],[
4,1,5,-2,7,-1,6,2,7,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,
1,5,1],[5,1,6,1],[7,1,6,1,4,1,5,-1,7,-1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[
1,1,2,-1,1,1],[4,1,5,1],[6,1,4,1,5,-1,4,1,5,-1,6,1]],[[2,1,1,1],[3,1,2,-1,1,1,
3,1,2,-1],[1,1,2,-1,1,1],[5,1,4,1,5,1,4,1,5,-1,4,1,5,-1]]],[[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,2,-2,6,-1,5,2,6,1]],[[2,1,1,1],[1,1,
2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,1],[6,1,5,1,4,1,2,-1,6,-1]],[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,1,4,1,2,-1,4,1,2,-1,5,1]],[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[2,1,4,1,2,1,4,1,2,-1,4,1,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,
2,-1,3,1],[4,1,2,1],[5,2,2,1,4,1,2,-1,5,-2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[2,1,4,1,2,1,4,1,2,-1,4,1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,
1],[5,1,2,-2,4,1,2,2,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,
5,-1,2,1,4,1,2,-1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,4,1,
2,1,5,-1,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[4,1,
2,-2,6,-1,5,2,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,2,4,1,2,1,
5,-2,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,2,-2,4,1,2,2,5,
-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,2,2,5,-1,2,-1,4,1,2,
-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,2],[5,1,2,1,4,1,5,1]]],[[[2,1,1,
1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[4,1,5,-1],[6,1,5,1],[7,1,
6,1,8,1,7,1,8,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,
1],[4,1,5,-2],[7,1,6,1,7,1,6,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,
1,1],[5,1,4,1,5,1,4,1,5,-1,4,1,5,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,
1,2,1],[4,1,2,-1],[5,1,2,1],[6,1,5,1,7,1,6,1,7,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[4,1,2,-2],[6,1,5,1,6,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[2,1,4,1,2,1,4,1,2,-1,4,1,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,
1,2,1],[2,1,5,1,4,1,2,-1,4,1,2,-2,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,
1,2,1],[2,1,4,1],[5,1,6,-2,5,-1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,
1,4,1],[5,1,4,1,2,1,5,-1,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
1],[2,1,4,1],[4,1,2,-2,6,-1,5,2,6,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,
4,1],[5,2,2,-1,4,1,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,
1,4,1,2,-1,4,1,2,-1,5,1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,
1],[4,1,5,1],[5,1,4,1],[6,2,7,1,5,1,7,-1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,
-1],[1,1,2,-1,1,1],[4,1,5,1],[4,1,5,-2,6,3,5,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,
2,-1],[1,1,2,-1,1,1],[5,1,4,1],[6,1,5,-2,4,1,5,2,6,-1]]],[[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,2,6,1,2,1,6,-1]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[4,1,2,-2,5,3,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[2,1,4,1],[5,1,2,-2,4,1,2,2,5,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,
1,2,1],[2,1,4,1],[2,1,6,-1,5,2,6,-1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[2,1,4,1],[5,2,2,-1,4,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,-1,4,1,
2,1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,4,
1],[5,1,7,-1,6,2,7,-1,5,-1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,
1],[5,1,4,1],[6,2,5,-1,4,1,6,2]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,
1,1],[5,-1,4,1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,2,2,-1,
4,1,5,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,-1,4,1,2,1,4,1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[2,-1,4,1,2,1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,
-1],[1,1,2,-1,1,1],[5,1,4,1],[6,2,5,-1,4,1,6,2]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,
2,-1],[1,1,2,-1,1,1],[4,1,5,-1,4,1,5,1,4,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,
-1],[1,1,2,-1,1,1],[5,-1,4,1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,
4,1],[2,2,4,1,2,1,5,-2,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,
1,2,-2],[6,1,5,1,6,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,
2,-2,4,1,2,2,5,-1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[5,1,
4,1],[5,2,4,1,5,1,6,-2,5,-1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,
1],[4,1,5,1],[4,1,5,-2],[7,1,6,1,7,1,6,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,
-1],[1,1,2,-1,1,1],[5,1,4,1],[6,1,5,-2,4,1,5,2,6,-1]]],[[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,6,-1,5,2,4,1,6,1]],[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,1,4,1,5,-1,2,1,4,1]],[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1,2,-1,5,-3,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,
2,-1,3,1],[4,1,2,1],[2,1,4,1,2,-1],[6,1,5,1,6,1,5,1]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[2,1,4,1],[5,1,2,-2,4,1,2,2,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[2,1,4,1,2,1,4,1,2,-1,4,1,2,-1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,
1,2,-1,1,1],[5,1,4,1],[5,2,4,1,5,1,6,-2,5,-1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,
-1],[1,1,2,-1,1,1],[4,1,5,1],[4,1,5,-2],[7,1,6,1,7,1,6,1]],[[2,1,1,1],[3,1,2,
-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[6,1,4,1,5,-1,4,1,5,-1,6,1]]],[[[2,
1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,2,4,1,2,1,5,-2,2,-1]],[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-2],[6,1,5,1,6,1,5,1]],[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,1,4,1,2,-1,4,1,2,-1,5,1]]],[[[1,1,2,1],[1,1,
2,-1,3,-2,2,1,3,2],[4,2],[1,1,2,1],[2,1,1,1],[7,1,2,1,6,2,7,2,6,-1],[5,1,8,
1],[9,1,8,1,5,1,8,-1,9,2,8,1]],[[1,1,2,1],[1,1,2,-1,3,-2,2,1,3,2],[4,2],[1,1,
2,1],[2,1,1,1],[7,1,2,1,6,2,7,2,6,-1],[5,1,8,1],[8,1,5,1],[9,1,10,2,8,1,9,
2]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[4,1,5,-1,6,
1,4,1,6,-1,5,1,4,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,
1],[5,1,4,1,5,-1,6,3]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,
5,1],[6,1,5,1,4,1,5,-1,6,-1,5,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,
2,1],[4,1,2,-1,5,1,4,1,5,-1,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,
2,1],[2,1,4,1,2,-1,5,3]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,1,2,
1,4,1,2,-1,5,-1,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,2,4,
1,2,-1,5,-1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,2,-1,4,1,
5,1,2,-1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[6,2,
4,1,5,-1,6,-1,5,-1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[5,1,4,
1],[6,1,5,-1,4,1,6,1,5,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,
2,4,1,2,-1,4,1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,-1,4,1,
2,-1,5,1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[6,2,
4,1,5,-1,4,1,5,-1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,
1],[5,-1,4,1,5,-1,6,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,
-2],[6,1,5,1,6,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,-2,4,1,2,-1,
4,1,2,2]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[4,1,
5,-2],[7,1,6,1,7,1,6,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,
1,5,-2,4,1,5,-1,4,1,5,2]]],[[[1,1,2,1],[1,1,2,-1,3,-2,2,1,3,2],[4,2],[1,1,2,
1],[2,1,1,1],[7,1,2,1,6,2,7,2,6,-1],[8,1,5,1],[9,2,8,-1,5,1]],[[1,1,2,1],[1,1,
2,-1,3,-2,2,1,3,2],[4,2],[1,1,2,1],[2,1,1,1],[7,1,2,1,6,2,7,2,6,-1],[5,1,8,
1],[5,1,9,-1,8,1,5,1,8,-1,9,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
-2,4,1,2,-1,4,1,2,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1,2,1,4,1,2,
-1,4,1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,1,4,1,2,-1,4,1,
2,-1,5,1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,-2,4,1,
5,-1,4,1,5,2]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[5,1,4,1,5,1,
4,1,5,-1,4,1,5,-1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,
1],[6,1,4,1,5,-1,4,1,5,-1,6,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,
-1,4,1,2,2,4,1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,2,4,1,2,-1,4,1,2,
-1,4,1]]],[[[1,1,2,1],[2,1,1,1,2,1,3,2,1,1,2,-1,3,1,2,1],[4,2],[1,1,2,1],[2,1,
1,1],[7,1,6,-2,2,-1,7,-1,6,-2],[8,1,5,1,8,-1,5,1,8,1]],[[1,1,2,1],[2,1,1,1,2,
1,3,2,1,1,2,-1,3,1,2,1],[4,2],[1,1,2,1],[2,1,1,1],[7,1,6,-2,2,-1,7,-1,6,-2],[
5,1,8,1],[8,1,5,1,8,1,9,2]]],[[[1,1,2,1],[1,1,2,-1,3,-2,2,1,3,2],[4,2],[1,1,2,
1],[2,1,1,1],[7,1,2,1,6,2,7,2,6,-1],[8,1,5,1,8,-1,5,1,8,1]],[[1,1,2,1],[1,1,2,
-1,3,-2,2,1,3,2],[4,2],[1,1,2,1],[2,1,1,1],[7,1,2,1,6,2,7,2,6,-1],[5,1,8,1],[
8,1,5,1,8,1,9,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,2,4,1,2,
-1,5,1,2,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,3,2,
1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[6,2,4,1,5,
-1,6,1,5,1,6,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[
4,1,5,-1,6,3,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,2,4,1,2,
-1,5,1,2,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,1,4,1,2,
-1,5,-1,2,-2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,2,2,5,-1,2,
-1,4,1,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[2,1,5,
2,6,-2,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,6,1,
2,1,6,-1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-2],[6,1,5,
1,6,1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[5,1,2,2,5,-1,2,-1,
4,1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,1,4,1,2,-1,5,1,2,
1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,-1,4,1,2,1,4,1]]],[[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,2,2,1,6,2,5,-1]],[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,1,4,1,5,-1,2,1,4,1]],[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,5,2,2,1,4,1,2,-2]]],[[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[4,1,2,1],[2,1,4,1],[5,1,6,1,5,-1,6,1,2,-1]],[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[4,1,2,1],[4,1,2,-1,5,1,2,1,5,1]]],[[[2,1,1,1],[3,1,2,-1,1,1,
3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[6,2,5,1,4,1,6,-2,5,-1]],[[2,1,1,1],[3,1,2,
-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,-1,4,1,5,2]]],[[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[4,1,2,1],[5,2,2,1,4,1,5,-2,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[4,1,2,-1,4,1,2,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,1,
5,2,4,1,2,-2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[2,-1,4,1,2,-1,5,
1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,1,6,2,4,
1,5,-2]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,-1,4,
1,5,-1,6,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,2,4,1,2,1,5,-2,
2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,1,4,1,2,-1,5,1,4,1]],[[
2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,2],[5,1,2,1,4,1,5,1]]],[[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1],[4,1,2,1],[5,2,2,1,4,1,2,-1,5,-2]],[[2,1,1,1],[1,1,2,1,3,-1,
2,-1,3,1],[4,1,2,1],[2,1,4,1,2,-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],[5,1,4,1,5,-1,2,1,4,1,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[2,1,4,1],[2,1,5,-1,4,1,2,1,4,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[5,1,4,1,2,-1,4,1,2,-1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1],[2,1,4,1,2,1,4,1,2,-1,4,1,2,-1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,
1,2,-1,1,1],[5,1,4,1],[5,1,6,-1,4,1,5,1,4,1,6,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,
1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[6,1,4,1,5,-1,4,1,5,-1,6,1]],[[2,1,1,1],[3,1,
2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[5,1,4,1,5,1,4,1,5,-1,4,1,5,-1]]],[[[1,1,2,
1],[2,1,1,1,2,1,3,2,1,1,2,-1,3,1,2,1],[4,2],[1,1,2,1],[2,1,1,1],[7,1,6,-2,2,
-1,7,-1,6,-2],[5,1,8,1],[8,1,5,1,9,-2]],[[1,1,2,1],[2,1,1,1,2,1,3,2,1,1,2,-1,
3,1,2,1],[4,2],[1,1,2,1],[2,1,1,1],[7,1,6,-2,2,-1,7,-1,6,-2],[5,1,8,1],[8,1,9,
2,5,1,9,-1]]],[[[1,1,2,1],[1,1,2,-1,3,-2,2,1,3,2],[4,2],[1,1,2,1],[2,1,1,1],[
7,1,2,1,6,2,7,2,6,-1],[5,1,8,1],[8,1,5,1,9,-2]],[[1,1,2,1],[1,1,2,-1,3,-2,2,1,
3,2],[4,2],[1,1,2,1],[2,1,1,1],[7,1,2,1,6,2,7,2,6,-1],[5,1,8,1],[8,1,9,2,5,1,
9,-1]]],[[[1,1,2,1],[2,1,1,1,2,1,3,2,1,1,2,-1,3,1,2,1],[4,2],[1,1,2,1],[2,1,1,
1],[7,1,6,-2,2,-1,7,-1,6,-2],[8,-1,5,1,8,1,5,1]],[[1,1,2,1],[2,1,1,1,2,1,3,2,
1,1,2,-1,3,1,2,1],[4,2],[1,1,2,1],[2,1,1,1],[7,1,6,-2,2,-1,7,-1,6,-2],[8,1,5,
1],[5,1,8,1,9,-2]]],[[[1,1,2,1],[1,1,2,-1,3,-2,2,1,3,2],[4,2],[1,1,2,1],[2,1,
1,1],[7,1,2,1,6,2,7,2,6,-1],[8,-1,5,1,8,1,5,1]],[[1,1,2,1],[1,1,2,-1,3,-2,2,1,
3,2],[4,2],[1,1,2,1],[2,1,1,1],[7,1,2,1,6,2,7,2,6,-1],[8,1,5,1],[5,1,8,1,9,
-2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,2],[5,1,2,1,4,1,5,1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,-2,4,1,2,1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,
2,-1],[1,1,2,-1,1,1],[5,2],[6,1,5,1,4,1,6,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,
-1],[1,1,2,-1,1,1],[4,1,5,-2,4,1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[
4,1,2,-2,4,1,2,-1,4,1,2,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1],[2,1,
5,-1,4,1,2,1,4,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,1,4,1,
2,-1,4,1,2,-1,5,1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,
5,-2,4,1,5,-1,4,1,5,2]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[5,
1,4,1],[5,1,6,-1,4,1,5,1,4,1,6,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,
-1,1,1],[4,1,5,1],[6,1,4,1,5,-1,4,1,5,-1,6,1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,
2,-1],[1,1,2,-1,1,1],[4,1,5,-2,4,1,5,-1,4,1,5,2]],[[2,1,1,1],[3,1,2,-1,1,1,3,
1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[6,1,4,1,5,-1,6,1,4,1]],[[2,1,1,1],[3,1,2,-1,
1,1,3,1,2,-1],[1,1,2,-1,1,1],[5,1,4,1,5,1,4,1,5,-1,4,1,5,-1]]],[[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1],[4,1,2,-2,4,1,2,-1,4,1,2,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[5,1,4,1,2,-1,5,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[
2,1,4,1,2,1,4,1,2,-1,4,1,2,-1]]],[[[1,1,2,1],[1,1,2,-1,3,-2,2,1,3,2],[4,2]],[[
1,1,2,1],[1,1,2,-1,3,-2,2,1,3,2],[4,2],[1,1,2,1],[2,1,1,1],[7,1,2,1,6,2,7,2,6,
-1],[8,1,5,1,8,1,5,1,8,-1]],[[1,1,2,1],[1,1,2,-1,3,-2,2,1,3,2],[4,2],[1,1,2,
1],[2,1,1,1],[7,1,2,1,6,2,7,2,6,-1],[5,1,8,1],[8,1,9,1],[9,1,10,2,9,1]]],[[[2,
1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,2,4,1],[4,1,2,1,5,-2]],[[2,1,1,1],[1,1,2,1,
3,-1,2,-1,3,1],[4,1,2,1],[2,-1,4,1,2,-1,5,1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,
2,-1],[1,1,2,-1,1,1],[5,2,4,1],[4,1,5,1,6,-2]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,
-1],[1,1,2,-1,1,1],[4,1,5,1],[5,-1,4,1,5,-1,6,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,
2,-1,3,1],[2,1,4,1],[2,1,5,-1,2,-1,4,1,2,1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[5,2,4,1,2,-1,4,1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1],[2,-1,4,1,2,-1,5,1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,
-1,1,1],[5,1,4,1],[5,1,6,-1,5,-1,4,1,5,1,6,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,
-1],[1,1,2,-1,1,1],[4,1,5,1],[6,2,4,1,5,-1,4,1,5,-1]],[[2,1,1,1],[3,1,2,-1,1,
1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[5,-1,4,1,5,-1,6,1]]],[[[1,1,2,1],[1,1,2,
-1,3,-2,2,1,3,2],[4,2],[1,1,2,1],[2,1,1,1],[7,1,2,1,6,2,7,2,6,-1],[5,1,8,
-2]],[[1,1,2,1],[1,1,2,-1,3,-2,2,1,3,2],[4,2],[1,1,2,1],[2,1,1,1],[7,1,2,1,6,
2,7,2,6,-1],[5,1,8,1],[8,1,5,1,8,1,9,2]]],[[[1,1,2,1],[2,1,1,1,2,1,3,2,1,1,2,
-1,3,1,2,1],[4,2],[1,1,2,1],[2,1,1,1],[7,1,6,-2,2,-1,7,-1,6,-2],[5,1,8,-2]],[[
1,1,2,1],[2,1,1,1,2,1,3,2,1,1,2,-1,3,1,2,1],[4,2],[1,1,2,1],[2,1,1,1],[7,1,6,
-2,2,-1,7,-1,6,-2],[5,1,8,1],[8,1,5,1,8,1,9,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[4,1,2,1],[5,1,4,1,2,-1,5,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[
4,1,2,-2,4,1,2,1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,
1],[6,1,4,1,5,-1,6,1,4,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[
4,1,5,-2,4,1,5,1]]],[[[1,1,2,1],[1,1,2,-1,3,-2,2,1,3,2],[4,2],[1,1,2,1],[2,1,
1,1],[7,1,2,1,6,2,7,2,6,-1],[8,-1,5,1,8,1,5,1]],[[1,1,2,1],[1,1,2,-1,3,-2,2,1,
3,2],[4,2],[1,1,2,1],[2,1,1,1],[7,1,2,1,6,2,7,2,6,-1],[8,1,5,1,8,-1,5,1,8,
-1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[5,1,4,1,5,1,4,1,5,
-1,4,1,5,-1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[5,-2,4,1,5,
-1,4,1,5,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,
-1,3,1],[2,1,4,1,2,1,4,1,2,-1,4,1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[
2,-2,4,1,2,-1,4,1,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1]]],[[[2,1,1,1],[3,1,
2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[5,2,4,1],[6,2,5,-1,4,1]],[[2,1,1,1],[3,1,2,
-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,-1,4,1,5,2]]],[[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1],[2,2,4,1],[5,2,2,-1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,
1,2,-1,4,1,2,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1,2,-1,4,1,2,2],[
5,5]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1,4,1,2,1]]],[[[2,1,1,1],[1,1,
2,1,3,-1,2,-1,3,1],[4,1,2,-1,4,1,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1],[4,1,2,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,-2,4,1,2,1]],[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,
1,1],[4,1,5,-2,4,1,5,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1]]],[[[1,1,2,1],[1,
1,2,-1,3,-2,2,1,3,2],[4,2],[1,1,2,1],[2,1,1,1],[7,1,2,1,6,2,7,2,6,-1],[5,1,8,
-1]],[[1,1,2,1],[1,1,2,-1,3,-2,2,1,3,2],[4,2],[1,1,2,1],[2,1,1,1],[7,1,2,1,6,
2,7,2,6,-1],[5,1,8,1]]],[[[1,1,2,1],[2,1,1,1,2,1,3,2,1,1,2,-1,3,1,2,1],[4,2],[
1,1,2,1],[2,1,1,1],[7,1,6,-2,2,-1,7,-1,6,-2],[5,1,8,-1]],[[1,1,2,1],[2,1,1,1,
2,1,3,2,1,1,2,-1,3,1,2,1],[4,2],[1,1,2,1],[2,1,1,1],[7,1,6,-2,2,-1,7,-1,6,
-2],[5,1,8,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[4,1,2,1],[5,1,4,1,2,-1,4,
1,2,-1,5,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1],[2,1,4,1,2,-2,4,1,2,-1]]],[[[
2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[4,1,5,1],[6,1,4,1,5,-1,4,1,5,
-1,6,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1],[1,1,2,-1,1,1],[5,1,4,1,5,-2,4,1,
5,-1]]],[[[1,1,2,1],[2,1,1,1,2,1,3,2,1,1,2,-1,3,1,2,1],[4,2]],[[1,1,2,1],[2,1,
1,1],[4,1,3,-2,2,-1,4,-1,3,-2]]],[[[1,1,2,1],[1,1,2,-1,3,-2,2,1,3,2],[4,2]],[[
1,1,2,1],[2,1,1,1],[4,1,2,1,3,2,4,2,3,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1]],[[2,1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1]],[[1,1,2,-1,1,1]]],[[[1,
1]],[[2,1]]]]);

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