GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
#############################################################################
##
#W tm2s62.tom GAP table of marks library Thomas Merkwitz
##
#H @(#)$Id: tm2s62.tom,v 4.3 2001/07/05 06:49:36 gap Exp $
##
#Y Copyright (C) 1997, Lehrstuhl D fuer Mathematik, RWTH Aachen, Germany
#Y (C) 1998 School Math and Comp. Sci., University of St. Andrews, Scotland
##
## This file contains the table of marks of the ATLAS group $2.S6(2)$
##
#H tomlib history
#H --------------
#H $Log: tm2s62.tom,v $
#H Revision 4.3 2001/07/05 06:49:36 gap
#H first revision for tomlib
#H
#H
#H tom history (GAP 4)
#H -------------------
#H (Rev. 4.3 of tomlib coincides with Rev. 4.2 of tom in GAP 4)
#H
#H RCS file: /gap/CVS/GAP/4.0/tom/tm2s62.tom,v
#H Working file: tm2s62.tom
#H head: 4.2
#H branch:
#H locks: strict
#H access list:
#H symbolic names:
#H GAP4R2: 4.2.0.10
#H GAP4R2PRE2: 4.2.0.8
#H GAP4R2PRE1: 4.2.0.2
#H GAP4R1: 4.2.0.6
#H GAP4B5: 4.2.0.4
#H dec16-98b: 4.2
#H GAP4b4: 4.2
#H version-14-apr: 4.2
#H version-15-jun: 4.2
#H keyword substitution: kv
#H total revisions: 3; selected revisions: 3
#H description:
#H ----------------------------
#H revision 4.2
#H date: 1998/03/27 15:21:14; author: gap; state: Exp; lines: +100 -2
#H added some more fusions
#H T.Merkwitz
#H ----------------------------
#H revision 4.1
#H date: 1997/11/20 11:18:26; author: gap; state: Exp; lines: +2 -2
#H changed revision number to 4.1
#H ----------------------------
#H revision 1.1
#H date: 1997/11/17 12:28:40; author: gap; state: Exp;
#H added new table of marks library file
#H ==========================================================================
#H
Revision.tm2s62_tom :=
"@(#)$Id: tm2s62.tom,v 4.3 2001/07/05 06:49:36 gap Exp $";
SetActualLibFileName("tm2s62");
LIBTOM( "2.S6(2)",
[[1],[1,2],[1,3],[1,4],[1,5],[1,6],[1,7],[1,2,8],[1,2,9],[1,3,10],[1,3,11],[1,
3,12],[1,2,3,13],[1,3,14],[1,2,4,15],[1,3,4,16],[1,4,17],[1,3,4,18],[1,19],[1,
2,5,20],[1,2,6,21],[1,2,7,22],[1,3,6,23],[1,3,5,24],[1,3,6,25],[1,3,7,26],[1,
4,7,27],[1,4,5,28],[1,4,5,29],[1,3,7,30],[1,4,6,31],[1,4,6,32],[1,4,7,33],[1,
4,7,34],[1,4,7,35],[1,36],[1,2,9,37],[1,2,8,9,38],[1,2,9,39],[1,2,9,40],[1,3,
11,41],[1,3,10,11,42],[1,3,12,43],[1,3,12,44],[1,2,3,13,14,45],[1,3,14,46],[1,
2,3,4,13,15,16,47],[1,3,4,14,16,48],[1,2,4,15,17,49],[1,4,17,50],[1,3,4,16,17,
51],[1,3,4,14,16,18,52],[1,2,3,4,13,15,18,53],[1,3,4,14,16,18,54],[1,2,3,8,9,
13,55],[1,2,3,9,13,56],[1,2,3,10,11,13,57],[1,2,3,12,13,58],[1,3,10,12,14,
59],[1,2,4,9,15,60],[1,2,4,8,9,15,61],[1,3,11,12,14,62],[1,3,4,10,12,16,63],[
1,3,4,11,12,16,64],[1,2,9,65],[1,2,9,66],[1,2,9,67],[1,3,12,68],[1,3,12,69],[
1,3,11,70],[1,2,3,4,8,13,15,71],[1,2,3,4,9,13,15,72],[1,2,4,8,15,73],[1,2,4,9,
15,74],[1,2,4,9,15,75],[1,2,4,9,15,76],[1,3,4,11,16,77],[1,3,4,10,16,78],[1,2,
3,9,13,79],[1,3,4,10,14,16,80],[1,3,4,11,14,16,81],[1,3,12,14,82],[1,3,4,12,
16,83],[1,3,4,12,16,84],[1,3,4,12,18,85],[1,3,4,12,14,16,86],[1,3,4,10,18,
87],[1,3,4,11,18,88],[1,3,4,12,18,89],[1,5,7,90],[1,5,6,7,91],[1,6,7,92],[1,6,
93],[1,2,19,94],[1,4,19,95],[1,2,5,8,20,96],[1,2,5,9,20,97],[1,2,7,9,22,98],[
1,2,5,8,20,99],[1,2,5,9,20,100],[1,2,7,8,22,101],[1,3,6,11,23,102],[1,3,6,10,
23,103],[1,2,4,5,15,20,28,104],[1,2,4,5,15,20,29,105],[1,2,3,7,13,22,30,106],[
1,2,4,7,15,22,33,107],[1,2,4,6,15,21,31,32,108],[1,3,4,6,18,23,31,109],[1,2,4,
7,15,22,34,35,110],[1,3,4,6,18,23,32,111],[1,3,4,7,18,26,33,35,112],[1,3,4,7,
18,27,30,34,113],[1,3,4,6,18,25,31,32,114],[1,3,4,7,18,27,30,35,115],[1,3,4,5,
18,24,28,29,116],[1,3,4,7,18,26,33,34,117],[1,2,3,5,13,20,24,118],[1,2,3,6,13,
21,23,25,119],[1,2,3,7,13,22,26,120],[1,2,4,7,15,22,27,121],[1,3,7,14,122],[1,
4,7,17,123],[1,2,36,124],[1,4,36,125],[1,4,36,126],[1,5,19,127],[1,2,3,13,14,
45,46,128],[1,2,3,4,13,14,15,16,45,47,48,129],[1,2,4,15,17,49,50,130],[1,2,3,
4,13,15,16,17,47,49,51,131],[1,2,3,4,13,14,15,16,18,45,47,52,53,54,132],[1,2,
3,8,9,13,37,38,55,133],[1,2,3,9,13,40,56,134],[1,2,3,9,13,39,56,135],[1,2,3,
10,11,13,41,42,57,136],[1,2,3,12,13,43,58,137],[1,2,3,12,13,44,58,138],[1,2,4,
9,15,37,40,60,139],[1,2,4,8,9,15,38,40,61,140],[1,2,3,8,9,13,14,45,55,56,
141],[1,2,3,4,8,9,13,15,16,47,55,56,60,61,142],[1,2,4,8,9,15,17,49,60,61,
143],[1,2,3,4,10,11,12,13,15,16,47,57,58,63,64,144],[1,2,3,10,11,12,13,14,45,
57,58,59,62,145],[1,2,3,8,9,13,39,55,79,146],[1,2,3,9,13,39,56,79,147],[1,2,4,
8,9,15,37,61,75,148],[1,2,4,8,9,15,40,61,74,149],[1,2,4,9,15,39,60,76,150],[1,
2,4,8,9,15,39,61,76,151],[1,2,4,8,9,15,38,60,61,73,75,152],[1,2,4,9,15,40,60,
74,75,153],[1,2,3,4,9,13,15,37,56,60,72,74,154],[1,2,3,4,8,9,13,15,38,56,61,
71,74,155],[1,2,3,4,8,9,13,15,38,55,60,61,71,72,73,156],[1,2,3,4,9,13,15,40,
56,60,72,75,157],[1,2,3,4,8,9,13,15,40,55,61,72,75,158],[1,3,11,12,14,44,62,
82,159],[1,3,10,12,14,44,59,82,160],[1,3,4,10,11,12,14,16,42,62,63,77,80,
161],[1,3,4,11,12,14,16,41,62,64,77,81,162],[1,3,4,10,12,14,16,43,59,63,83,86,
163],[1,3,4,10,12,16,44,63,84,164],[1,3,4,11,12,16,44,64,84,165],[1,3,4,10,11,
12,14,16,42,59,63,64,78,80,81,166],[1,3,4,11,12,14,16,43,62,64,83,86,167],[1,
2,3,9,12,13,56,58,168],[1,2,3,9,12,13,56,58,169],[1,2,3,8,9,12,13,55,58,170],[
1,2,3,9,10,11,13,56,57,171],[1,3,11,12,14,62,172],[1,2,3,10,11,12,13,57,58,
173],[1,3,10,11,12,14,59,62,174],[1,2,3,8,9,10,11,12,13,55,57,58,175],[1,2,3,
9,10,11,13,56,57,176],[1,2,3,4,9,13,15,16,47,56,75,177],[1,2,3,4,8,9,13,15,16,
47,55,73,74,178],[1,2,3,4,9,13,15,16,47,56,76,179],[1,2,3,4,8,9,13,14,15,16,
45,47,55,71,72,180],[1,2,3,4,9,13,14,15,16,45,47,56,72,181],[1,2,3,4,12,13,15,
16,47,58,83,182],[1,2,3,4,10,11,13,15,16,47,57,77,78,183],[1,2,3,9,13,14,45,
56,79,184],[1,2,3,12,13,14,45,58,82,185],[1,2,3,4,12,13,14,15,16,45,47,58,86,
186],[1,2,3,4,12,13,15,16,47,58,84,187],[1,2,3,4,10,11,13,14,15,16,45,47,57,
80,81,188],[1,2,4,8,9,15,17,49,61,73,74,75,189],[1,2,4,9,15,17,49,60,74,75,
190],[1,2,3,4,9,13,15,18,53,56,74,76,191],[1,2,3,4,8,9,13,15,18,53,55,73,76,
192],[1,2,3,4,9,13,15,16,17,47,49,60,72,74,75,193],[1,2,3,4,8,9,13,15,16,17,
47,49,61,71,72,73,75,194],[1,3,4,11,12,14,16,18,52,62,85,88,195],[1,2,3,4,12,
13,15,18,53,58,85,89,196],[1,2,3,4,8,9,13,15,18,53,61,71,76,79,197],[1,2,3,4,
9,13,15,18,53,60,72,76,79,198],[1,3,4,10,12,14,16,18,54,59,85,87,199],[1,3,4,
10,12,14,16,18,52,59,87,89,200],[1,3,4,10,12,14,16,18,46,52,59,80,86,201],[1,
3,4,10,12,14,16,18,48,54,59,78,84,202],[1,3,4,10,12,14,16,17,18,51,52,63,78,
80,83,86,203],[1,3,4,11,12,14,16,18,46,52,62,81,86,204],[1,3,4,11,12,14,16,18,
48,54,62,77,84,205],[1,3,4,11,12,14,16,18,54,62,88,89,206],[1,2,3,4,10,11,13,
15,18,53,57,87,88,207],[1,3,4,11,12,14,16,17,18,51,52,64,77,81,83,86,208],[1,
3,4,10,12,14,16,18,48,54,63,80,82,84,209],[1,3,4,11,12,14,16,18,48,54,64,81,
82,84,210],[1,2,3,8,9,13,38,65,79,211],[1,2,3,9,13,37,66,79,212],[1,2,3,9,13,
40,67,79,213],[1,2,4,9,15,39,66,74,214],[1,2,4,9,15,39,65,74,215],[1,2,4,9,15,
39,67,75,216],[1,2,4,8,9,15,38,67,76,217],[1,2,4,9,15,37,67,76,218],[1,2,4,9,
15,40,65,76,219],[1,2,4,9,15,40,66,76,220],[1,3,4,12,18,44,69,89,221],[1,3,4,
10,11,18,42,70,88,222],[1,3,4,12,18,44,68,89,223],[1,3,4,12,18,43,68,85,224],[
1,3,4,11,18,41,70,88,225],[1,3,4,12,18,43,69,85,226],[1,2,9,37,39,65,227],[1,
2,8,9,38,39,66,228],[1,2,9,39,40,67,229],[1,2,3,8,9,13,55,65,66,230],[1,2,3,9,
13,56,66,231],[1,2,3,9,13,56,65,232],[1,2,3,9,13,56,67,233],[1,2,3,9,13,56,67,
234],[1,2,3,8,9,13,55,67,235],[1,2,3,9,13,56,65,66,236],[1,3,11,12,14,62,69,
237],[1,3,11,12,14,62,68,238],[1,2,4,9,15,60,65,67,239],[1,2,4,9,15,60,66,67,
240],[1,2,4,8,9,15,61,66,67,241],[1,2,4,8,9,15,61,65,67,242],[1,3,10,12,14,59,
68,69,243],[1,2,3,12,13,58,68,69,244],[1,3,11,12,14,62,70,245],[1,2,3,10,11,
13,57,70,246],[1,3,11,12,14,62,70,247],[1,2,3,12,13,14,45,58,248],[1,2,3,4,12,
13,15,16,47,58,249],[1,2,3,4,9,12,13,15,16,47,56,58,250],[1,2,3,4,9,12,13,15,
16,47,56,58,251],[1,2,3,9,12,13,14,45,56,58,252],[1,2,3,4,9,13,15,66,74,79,
253],[1,2,3,4,9,13,15,65,74,79,254],[1,2,3,4,9,13,15,67,75,79,255],[1,2,4,9,
15,66,75,76,256],[1,2,4,9,15,65,75,76,257],[1,2,4,9,15,67,74,76,258],[1,2,4,9,
15,67,74,76,259],[1,3,4,12,14,18,69,82,89,260],[1,3,4,12,16,18,68,83,85,261],[
1,3,4,11,16,18,70,77,88,262],[1,3,4,12,14,18,68,82,89,263],[1,3,4,12,16,18,69,
83,85,264],[1,3,4,11,16,18,70,77,88,265],[1,2,5,7,20,22,90,266],[1,2,5,6,7,20,
21,22,91,267],[1,2,6,7,21,22,92,268],[1,3,5,6,7,23,24,25,26,91,269],[1,4,5,7,
29,35,90,270],[1,4,5,6,7,29,32,35,91,271],[1,4,5,7,29,34,90,272],[1,4,5,6,7,
29,31,34,91,273],[1,4,6,7,32,35,92,274],[1,4,6,7,31,34,92,275],[1,4,5,6,7,28,
31,32,33,91,276],[1,3,5,6,7,24,30,91,277],[1,3,5,7,26,30,90,278],[1,3,6,7,25,
30,92,279],[1,3,6,7,23,30,92,280],[1,4,6,7,27,31,92,281],[1,4,5,6,7,27,28,91,
282],[1,4,5,7,27,33,90,283],[1,4,6,7,27,32,92,284],[1,4,6,32,93,285],[1,4,6,
31,93,286],[1,2,6,21,93,287],[1,2,9,19,94,288],[1,2,4,15,19,94,95,289],[1,2,8,
19,94,290],[1,7,36,291],[1,2,5,9,20,39,292],[1,2,6,9,21,37,293],[1,3,6,11,25,
41,294],[1,2,7,9,22,37,295],[1,2,7,9,22,40,296],[1,2,7,9,22,39,297],[1,3,6,12,
23,44,298],[1,3,5,11,24,41,299],[1,3,7,11,26,41,300],[1,3,7,12,26,43,301],[1,
2,3,4,5,8,13,15,20,24,28,71,96,104,118,302],[1,2,3,4,5,9,13,15,20,24,29,72,97,
105,118,303],[1,2,3,7,9,13,22,26,30,79,98,106,120,304],[1,2,4,7,9,15,22,27,33,
76,98,107,121,305],[1,2,5,9,20,37,100,306],[1,2,5,9,20,39,100,307],[1,2,5,8,9,
20,38,99,100,308],[1,3,6,11,23,41,102,309],[1,3,6,10,11,23,42,102,103,310],[1,
2,5,8,9,20,38,96,97,99,311],[1,2,5,9,20,40,97,100,312],[1,2,5,9,20,66,100,
313],[1,2,5,9,20,65,100,314],[1,2,4,5,9,15,20,29,76,100,105,315],[1,2,4,5,8,
15,20,28,29,73,99,104,105,316],[1,2,4,5,9,15,20,28,76,100,104,317],[1,2,4,5,9,
15,20,29,75,100,105,318],[1,2,3,4,7,8,13,15,22,30,33,71,101,106,107,319],[1,3,
4,6,11,18,23,31,88,102,109,320],[1,3,4,6,11,18,23,32,88,102,111,321],[1,3,4,6,
10,18,23,31,32,87,103,109,111,322],[1,2,3,7,13,14,22,45,122,323],[1,3,7,14,26,
46,122,324],[1,2,4,7,15,17,22,49,123,325],[1,3,4,7,14,16,27,48,122,326],[1,4,
7,17,27,50,123,327],[1,3,4,7,16,17,26,51,123,328],[1,2,3,5,8,9,13,20,24,55,99,
100,118,329],[1,2,3,6,10,11,13,21,23,25,57,102,103,119,330],[1,2,3,5,9,13,20,
24,79,100,118,331],[1,2,3,4,7,8,13,15,22,26,27,71,101,120,121,332],[1,2,5,9,
20,67,100,333],[1,2,5,9,20,67,100,334],[1,3,6,11,23,70,102,335],[1,3,6,11,23,
70,102,336],[1,3,4,7,10,14,16,35,80,122,337],[1,3,4,7,11,14,16,34,81,122,
338],[1,3,7,12,14,30,82,122,339],[1,3,4,7,12,14,16,33,86,122,340],[1,2,4,5,8,
9,15,20,29,61,96,100,105,341],[1,2,4,5,9,15,20,28,60,97,100,104,342],[1,2,4,5,
8,9,15,20,29,61,97,99,105,343],[1,2,4,7,8,9,15,22,34,35,61,98,101,110,344],[1,
2,3,4,5,13,15,18,20,24,28,29,53,104,105,116,118,345],[1,2,3,4,7,13,15,18,22,
26,33,34,35,53,107,110,112,117,120,346],[1,2,3,4,7,13,15,18,22,27,30,34,35,53,
106,110,113,115,121,347],[1,2,3,4,6,13,15,18,21,23,25,31,32,53,108,109,111,
114,119,348],[1,6,7,92,349],[1,5,6,7,90,91,92,350],[1,6,7,92,93,351],[1,2,4,
15,36,124,125,126,352],[1,2,5,19,20,94,127,353],[1,4,5,19,29,95,127,354],[1,2,
3,9,13,39,56,79,135,147,355],[1,2,3,4,8,9,13,15,38,40,56,61,71,74,134,140,149,
155,356],[1,2,3,4,9,13,15,37,40,56,60,72,74,75,134,139,153,154,157,357],[1,2,
3,4,8,9,13,15,37,38,40,55,60,61,71,72,73,75,133,139,140,148,152,156,158,358],[
1,2,3,9,13,14,39,45,56,79,147,184,359],[1,2,3,4,8,9,13,15,18,38,39,53,56,61,
71,74,76,79,147,151,155,191,197,360],[1,2,3,4,9,13,15,18,37,39,53,56,60,72,74,
76,79,147,150,154,191,198,361],[1,2,3,4,8,9,13,15,18,38,39,53,55,60,61,71,72,
73,76,79,146,150,151,156,192,197,198,362],[1,2,3,4,9,13,14,15,16,17,37,40,45,
47,49,56,60,72,74,75,154,157,181,193,363],[1,2,3,4,8,9,13,14,15,16,17,38,40,
45,47,49,55,56,60,61,71,72,73,74,75,155,156,157,158,180,181,193,194,364],[1,2,
3,4,9,13,15,16,17,40,47,49,56,60,72,74,75,153,157,177,190,193,365],[1,2,3,4,8,
9,13,15,16,17,37,38,47,49,56,60,61,71,72,73,74,75,148,152,154,155,177,189,190,
194,366],[1,2,3,4,8,9,13,15,16,17,38,40,47,49,55,60,61,71,72,73,74,75,149,152,
153,156,158,178,189,190,193,194,367],[1,3,4,10,11,12,14,16,18,42,44,48,54,62,
63,77,80,82,84,159,161,164,205,209,368],[1,3,4,11,12,14,16,17,18,41,43,46,51,
52,62,64,77,81,83,86,162,167,204,208,369],[1,3,4,11,12,14,16,18,41,44,48,54,
62,64,77,81,82,84,159,162,165,205,210,370],[1,3,4,10,11,12,14,16,18,42,44,48,
54,59,63,64,78,80,81,82,84,160,164,165,166,202,209,210,371],[1,3,4,10,11,12,
14,16,17,18,42,43,46,51,52,59,62,63,64,77,78,80,81,83,86,161,163,166,167,201,
203,204,208,372],[1,2,3,8,9,13,14,39,45,55,56,79,135,141,146,147,184,373],[1,
2,3,10,11,12,13,14,44,45,57,58,59,62,82,138,145,159,160,185,374],[1,2,3,4,8,9,
13,15,16,39,47,55,56,60,61,76,135,142,150,151,179,375],[1,2,3,4,8,9,13,14,15,
16,37,38,45,47,55,56,60,61,71,72,73,74,133,141,142,154,155,156,178,180,376],[
1,2,3,4,8,9,13,14,15,16,40,45,47,55,56,60,61,72,75,134,141,142,157,158,177,
181,377],[1,2,3,4,10,11,12,13,15,16,44,47,57,58,63,64,84,138,144,164,165,187,
378],[1,2,3,4,10,11,12,13,14,15,16,43,45,47,57,58,59,62,63,64,83,86,137,144,
145,163,167,182,186,379],[1,2,3,4,8,9,13,15,16,17,37,40,47,49,55,56,60,61,72,
74,75,139,142,143,148,149,153,154,157,158,190,193,380],[1,2,3,4,8,9,13,15,16,
17,38,40,47,49,55,56,60,61,71,72,73,74,75,140,142,143,152,153,155,156,157,189,
194,381],[1,2,3,4,10,11,12,13,14,15,16,41,42,45,47,57,58,59,62,63,64,77,78,80,
81,136,144,145,161,162,166,183,188,382],[1,2,3,4,8,9,13,14,15,16,45,46,47,48,
55,56,71,72,128,129,141,180,181,383],[1,2,3,4,8,9,13,14,15,16,17,45,47,48,49,
51,55,56,60,61,71,72,73,74,75,129,131,142,177,178,180,181,193,194,384],[1,2,3,
4,8,9,13,14,15,16,18,45,47,52,53,54,55,56,73,74,76,132,141,178,179,191,192,
385],[1,2,3,4,8,9,13,14,15,16,18,45,47,52,53,54,55,56,60,61,71,72,76,79,132,
142,179,180,184,197,198,386],[1,2,3,4,10,11,12,13,14,15,16,18,45,47,48,52,53,
54,57,58,59,62,77,78,84,129,132,145,183,187,202,205,387],[1,2,3,4,10,11,12,13,
14,15,16,18,45,46,47,52,53,54,57,58,59,62,80,81,86,128,132,145,186,188,201,
204,388],[1,2,3,4,8,9,13,15,16,17,47,49,50,51,60,61,71,72,73,74,75,130,131,
143,189,190,193,194,389],[1,2,3,4,10,11,12,13,14,15,16,17,18,45,47,49,51,52,
53,54,57,58,63,64,77,78,80,81,83,86,131,132,144,182,183,186,188,203,208,390],[
1,2,3,4,10,11,12,13,14,15,16,18,45,47,48,52,53,54,57,58,63,64,80,81,82,84,129,
132,144,185,187,188,209,210,391],[1,2,3,4,10,11,12,13,14,15,16,18,45,47,52,53,
54,57,58,59,62,85,87,88,89,132,145,195,196,199,200,206,207,392],[1,2,3,8,9,10,
11,12,13,41,42,55,57,58,136,173,175,393],[1,2,3,9,10,11,13,41,42,56,57,136,
171,176,394],[1,2,3,8,9,10,11,12,13,37,38,55,57,58,133,170,175,395],[1,2,3,9,
13,40,56,66,134,231,396],[1,2,3,9,13,40,56,65,134,232,397],[1,2,3,9,13,40,56,
67,134,233,398],[1,2,3,9,13,39,56,67,135,234,399],[1,2,3,4,9,12,13,15,16,39,
47,56,58,75,135,168,177,251,400],[1,2,3,4,9,12,13,15,16,40,47,56,58,76,134,
169,179,250,251,401],[1,2,3,4,9,12,13,15,16,44,47,56,58,83,138,168,182,249,
250,402],[1,2,3,4,9,12,13,15,16,43,47,56,58,84,137,169,187,249,250,251,403],[
1,2,3,4,9,12,13,14,15,16,39,45,47,56,58,72,135,169,181,250,252,404],[1,2,3,9,
12,13,14,40,45,56,58,79,134,168,184,252,405],[1,2,3,9,12,13,14,43,45,56,58,82,
137,168,185,248,252,406],[1,2,3,4,9,12,13,14,15,16,44,45,47,56,58,86,138,169,
186,248,249,251,252,407],[1,2,3,9,10,11,13,39,40,56,57,134,135,171,176,408],[
1,2,3,8,9,10,11,12,13,43,44,55,57,58,137,138,170,173,175,409],[1,2,3,8,9,10,
11,12,13,14,45,55,56,57,58,59,62,141,145,168,171,175,410],[1,2,3,10,11,12,13,
14,45,57,58,59,62,145,172,174,411],[1,2,3,4,8,9,10,11,12,13,15,16,47,55,56,57,
58,60,61,63,64,142,144,169,171,175,412],[1,2,3,4,9,10,11,13,14,15,16,45,47,56,
57,75,79,80,81,171,177,184,188,413],[1,2,3,4,9,12,13,14,15,16,45,47,56,58,72,
76,84,86,168,179,181,186,187,414],[1,2,3,4,9,10,11,13,15,18,53,56,57,74,76,87,
88,171,191,207,415],[1,2,3,4,9,12,13,15,18,53,56,58,74,76,85,89,168,191,196,
416],[1,2,3,4,9,12,13,14,15,16,45,47,56,58,72,79,82,86,169,181,184,185,186,
417],[1,2,3,4,9,10,11,13,14,15,16,45,47,56,57,72,76,77,78,80,81,171,179,181,
183,188,418],[1,2,3,4,9,12,13,15,16,47,56,58,75,76,83,84,169,177,179,182,187,
419],[1,2,3,4,8,9,10,11,12,13,14,15,16,45,47,55,57,58,71,72,80,81,82,83,175,
180,182,185,188,420],[1,3,4,11,12,14,16,18,46,52,62,81,85,86,88,172,195,204,
421],[1,3,4,11,12,14,16,18,48,54,62,77,84,88,89,172,205,206,422],[1,2,3,4,8,9,
10,11,12,13,14,15,16,45,47,55,57,58,71,72,73,74,77,78,80,81,84,86,175,178,180,
183,186,187,188,423],[1,2,3,4,8,9,10,11,12,13,15,18,53,55,57,58,73,76,85,87,
88,89,175,192,196,207,424],[1,3,4,10,11,12,14,16,18,48,54,59,62,77,78,84,85,
87,88,89,174,199,202,205,206,425],[1,3,4,10,11,12,14,16,18,46,52,59,62,80,81,
85,86,87,88,89,174,195,200,201,204,426],[1,2,3,8,9,12,13,14,45,55,56,58,141,
169,170,248,427],[1,2,3,4,8,9,12,13,15,16,47,55,56,58,60,61,142,168,169,170,
249,428],[1,2,3,9,10,11,12,13,14,45,56,57,58,59,62,145,169,173,176,252,429],[
1,2,3,4,9,10,11,12,13,15,16,47,56,57,58,63,64,144,168,169,173,176,250,251,
430],[1,2,3,9,13,39,56,65,66,79,147,232,236,431],[1,2,3,9,13,39,56,65,66,79,
147,231,236,432],[1,2,3,4,8,9,13,15,38,56,61,65,66,67,71,74,155,234,236,241,
242,433],[1,2,3,4,9,13,15,37,56,60,65,66,67,72,74,154,234,236,239,240,434],[1,
2,3,4,8,9,13,15,38,55,60,61,65,66,67,71,72,73,156,230,235,239,240,241,242,
435],[1,2,3,8,9,13,37,38,39,55,65,66,79,133,146,211,212,227,228,230,436],[1,2,
3,9,13,39,40,56,67,79,134,147,213,229,234,437],[1,2,3,4,8,9,13,15,38,39,56,61,
66,71,74,135,155,214,228,231,438],[1,2,3,4,9,13,15,37,39,56,60,65,72,74,135,
154,215,227,232,439],[1,2,3,4,9,13,15,39,40,56,60,67,72,75,135,157,216,229,
233,440],[1,2,4,8,9,15,38,39,40,61,66,67,76,140,151,217,220,228,229,241,441],[
1,2,4,9,15,37,39,40,60,65,67,76,139,150,218,219,227,229,239,442],[1,2,3,8,9,
13,14,45,55,56,67,141,233,234,235,443],[1,2,3,8,9,13,14,45,55,56,65,66,141,
230,231,232,236,444],[1,2,3,10,11,12,13,14,45,57,58,59,62,70,145,245,246,247,
445],[1,2,3,10,11,12,13,14,45,57,58,59,62,68,69,145,237,238,243,244,446],[1,2,
3,4,8,9,13,15,16,47,55,56,60,61,66,67,142,231,233,240,241,447],[1,2,3,4,8,9,
13,15,16,47,55,56,60,61,65,67,142,232,233,239,242,448],[1,2,3,4,8,9,12,13,15,
38,56,58,61,65,71,74,155,168,232,449],[1,2,3,4,9,12,13,15,37,56,58,60,66,72,
74,154,168,231,450],[1,2,3,4,9,12,13,15,40,56,58,60,65,72,75,157,169,232,
451],[1,2,3,4,9,12,13,15,40,56,58,60,66,72,75,157,169,231,452],[1,2,3,4,9,12,
13,15,37,56,58,60,67,72,74,154,169,233,453],[1,2,3,4,9,12,13,15,40,56,58,60,
67,72,75,157,168,233,454],[1,2,3,4,8,9,12,13,15,38,56,58,61,67,71,74,155,169,
233,455],[1,2,3,4,8,9,10,11,13,15,38,56,57,61,66,71,74,155,171,231,456],[1,2,
3,4,9,10,11,13,15,37,56,57,60,65,72,74,154,171,232,457],[1,2,3,4,9,10,11,13,
15,40,56,57,60,67,72,75,157,171,233,458],[1,2,3,9,12,13,39,56,58,67,79,147,
168,234,459],[1,3,4,10,11,12,14,16,42,59,62,63,68,77,80,161,174,238,460],[1,3,
4,10,11,12,14,16,41,59,62,64,69,77,81,162,174,237,461],[1,2,3,9,10,11,13,39,
56,57,67,79,147,171,234,462],[1,3,4,10,11,12,14,16,42,62,63,69,77,80,161,172,
237,463],[1,3,4,11,12,14,16,41,62,64,68,77,81,162,172,238,464],[1,3,4,11,12,
14,16,43,62,64,70,83,86,167,172,245,465],[1,3,11,12,14,44,62,70,82,159,172,
247,466],[1,3,10,11,12,14,44,59,62,70,82,159,174,247,467],[1,3,4,10,11,12,14,
16,43,59,62,64,70,83,86,167,174,245,468],[1,2,3,9,10,11,13,56,57,65,66,171,
236,469],[1,2,3,9,12,13,56,58,65,66,168,236,470],[1,2,3,8,9,10,11,12,13,55,57,
58,70,175,246,471],[1,2,3,8,9,10,11,12,13,55,57,58,68,69,175,244,472],[1,2,3,
9,10,11,13,56,57,70,171,246,473],[1,2,3,9,12,13,56,58,68,69,168,244,474],[1,2,
3,8,9,10,11,12,13,55,57,58,67,175,235,475],[1,2,3,4,9,13,15,16,47,56,67,75,
177,233,476],[1,2,3,4,9,13,15,16,47,56,65,66,75,177,231,232,477],[1,2,3,4,9,
13,15,18,53,56,65,67,74,76,191,232,234,478],[1,2,3,4,9,13,15,18,53,56,66,67,
74,76,191,231,234,479],[1,2,3,9,13,14,45,56,67,79,184,234,480],[1,2,3,4,9,13,
14,15,16,45,47,56,65,67,72,181,232,233,481],[1,2,3,4,9,13,14,15,16,45,47,56,
66,67,72,181,231,233,482],[1,3,4,11,12,14,16,18,46,52,62,69,70,81,86,204,237,
245,483],[1,3,4,11,12,14,16,18,48,54,62,69,70,77,84,205,237,247,484],[1,3,4,
11,12,14,16,18,46,52,62,68,70,81,86,204,238,245,485],[1,3,4,11,12,14,16,18,48,
54,62,68,70,77,84,205,238,247,486],[1,2,3,9,12,13,14,45,46,56,58,79,82,128,
184,185,248,252,487],[1,2,3,4,9,12,13,14,15,16,45,47,48,56,58,79,86,129,184,
186,248,250,488],[1,2,3,4,9,12,13,14,15,16,18,45,47,52,53,54,56,58,72,82,86,
132,181,185,186,249,251,252,489],[1,2,3,4,9,12,13,14,15,16,18,45,47,52,53,54,
56,58,72,83,84,132,181,182,187,248,250,251,490],[1,2,3,4,9,12,13,14,15,16,45,
47,48,56,58,76,83,86,129,179,182,186,249,251,252,491],[1,2,3,4,9,12,13,14,15,
16,18,45,47,52,53,54,56,58,75,84,86,132,177,186,187,249,250,252,492],[1,2,3,4,
9,12,13,15,16,17,47,49,51,56,58,76,84,131,179,187,249,250,251,493],[1,2,3,4,9,
10,11,12,13,15,16,47,56,57,58,63,64,77,78,144,171,173,183,251,494],[1,2,3,4,8,
9,10,11,12,13,15,16,47,55,56,57,58,60,61,77,78,142,175,176,183,250,495],[1,2,
3,4,8,9,10,11,12,13,15,16,47,55,57,58,63,64,73,74,144,170,175,178,249,496],[1,
2,3,4,9,10,11,12,13,14,15,16,45,47,56,57,58,59,62,63,64,80,81,144,145,171,173,
188,250,252,497],[1,2,3,4,8,9,10,11,12,13,14,15,16,45,47,55,57,58,59,62,63,64,
71,72,144,145,170,175,180,248,249,498],[1,2,3,4,8,9,10,11,12,13,14,15,16,45,
47,55,56,57,58,60,61,80,81,141,142,175,176,188,251,252,499],[1,2,3,4,8,9,13,
14,15,38,45,56,61,65,71,74,79,155,184,211,232,254,500],[1,2,3,4,9,13,14,15,37,
45,56,60,66,72,74,79,154,184,212,231,253,501],[1,2,3,4,9,13,14,15,40,45,56,60,
67,72,75,79,157,184,213,233,255,502],[1,2,3,4,9,13,15,16,40,47,56,60,65,72,75,
76,157,179,219,232,257,503],[1,2,3,4,9,13,15,16,40,47,56,60,66,72,75,76,157,
179,220,231,256,504],[1,2,3,4,9,13,15,16,37,47,56,60,67,72,74,76,154,179,218,
233,259,505],[1,2,3,4,8,9,13,15,16,38,47,56,61,67,71,74,76,155,179,217,233,
258,506],[1,2,3,4,9,13,15,18,37,53,56,60,67,72,74,76,154,191,218,234,258,
507],[1,2,3,4,8,9,13,15,18,38,53,56,61,67,71,74,76,155,191,217,234,259,508],[
1,2,3,4,8,9,13,15,18,40,53,55,61,65,66,72,73,75,76,158,192,219,220,230,256,
257,509],[1,2,3,4,9,13,15,18,39,53,56,65,74,76,79,147,191,215,232,254,510],[1,
2,3,4,9,13,15,18,39,53,56,66,74,76,79,147,191,214,231,253,511],[1,2,3,4,8,9,
13,15,16,39,47,55,65,66,73,74,79,146,178,214,215,230,253,254,512],[1,2,3,4,9,
13,15,16,39,47,56,67,75,79,147,177,216,234,255,513],[1,2,4,9,15,17,39,49,60,
65,67,74,75,76,150,190,215,216,239,257,259,514],[1,2,4,8,9,15,17,39,49,61,66,
67,73,74,75,76,151,189,214,216,241,256,258,515],[1,3,4,11,12,14,16,18,44,54,
62,68,82,88,89,159,206,223,238,263,516],[1,3,4,11,12,14,16,18,44,54,62,69,82,
88,89,159,206,221,237,260,517],[1,2,3,4,8,9,13,15,18,38,53,60,61,65,67,72,73,
75,76,79,152,198,211,217,239,255,257,518],[1,2,3,4,9,13,15,18,40,53,60,65,67,
72,74,75,76,79,153,198,213,219,239,254,258,519],[1,2,3,4,8,9,13,15,18,40,53,
61,66,67,71,74,76,79,149,197,213,220,241,253,259,520],[1,2,3,4,8,9,13,15,18,
37,53,61,66,67,71,75,76,79,148,197,212,218,241,255,256,521],[1,3,4,11,12,14,
16,18,41,54,62,64,70,77,81,88,89,162,206,225,247,262,522],[1,3,4,10,11,12,14,
16,18,42,54,62,63,70,77,80,88,89,161,206,222,247,265,523],[1,3,4,10,11,12,14,
16,18,42,52,62,63,70,77,80,85,88,161,195,222,245,262,524],[1,3,4,11,12,14,16,
18,41,52,62,64,70,77,81,85,88,162,195,225,245,265,525],[1,3,4,11,12,14,16,18,
43,52,62,64,69,83,85,86,88,167,195,226,237,264,526],[1,3,4,11,12,14,16,18,43,
52,62,64,68,83,85,86,88,167,195,224,238,261,527],[1,3,4,10,12,14,16,18,43,54,
59,63,68,69,83,85,86,87,163,199,224,226,243,261,264,528],[1,3,4,10,12,14,16,
18,44,52,59,68,69,82,87,89,160,200,221,223,243,260,263,529],[1,2,3,4,8,9,13,
15,18,37,38,53,55,67,73,76,133,192,217,218,235,530],[1,2,3,4,9,13,15,18,40,53,
56,65,66,74,76,134,191,219,220,236,531],[1,2,3,4,9,13,15,18,39,53,56,65,66,74,
76,135,191,214,215,236,532],[1,2,3,4,12,13,15,18,44,53,58,68,69,85,89,138,196,
221,223,244,533],[1,2,3,4,9,13,15,18,37,40,53,60,66,67,72,76,79,139,198,212,
213,218,220,240,534],[1,2,3,4,8,9,13,15,18,38,40,53,61,65,67,71,76,79,140,197,
211,213,217,219,242,535],[1,2,3,4,12,13,15,18,43,53,58,68,69,85,89,137,196,
224,226,244,536],[1,2,3,4,10,11,13,15,18,41,42,53,57,70,87,88,136,207,222,225,
246,537],[1,2,3,4,9,10,11,12,13,15,16,47,56,57,58,63,64,75,76,77,78,144,176,
177,179,183,250,251,538],[1,2,3,4,8,9,12,13,14,15,16,45,47,55,56,58,60,61,71,
72,84,86,142,170,180,186,187,251,252,539],[1,2,3,4,10,11,12,13,15,16,47,57,58,
63,64,77,78,83,84,144,173,182,183,187,249,540],[1,2,3,4,8,9,12,13,14,15,16,45,
47,55,56,58,71,72,82,86,141,170,180,185,186,250,252,541],[1,2,3,4,9,10,11,12,
13,14,15,16,45,47,56,57,58,63,64,72,76,80,81,144,176,179,181,188,250,252,
542],[1,2,3,4,8,9,12,13,15,16,47,55,56,58,60,61,73,74,83,84,142,170,178,182,
187,250,251,543],[1,2,3,4,10,11,12,13,14,15,16,45,47,57,58,63,64,80,81,84,86,
144,173,186,187,188,248,249,544],[1,2,3,4,10,11,12,13,14,15,16,45,47,57,58,59,
62,80,81,82,86,145,173,185,186,188,248,249,545],[1,2,3,4,9,10,11,12,13,14,15,
16,45,47,56,57,58,59,62,72,79,80,81,145,176,181,184,188,251,252,546],[1,2,3,4,
9,13,15,16,18,47,53,56,65,66,74,75,76,177,191,236,256,257,547],[1,2,3,4,8,9,
13,15,16,18,47,53,55,67,73,74,76,178,192,235,258,259,548],[1,2,3,4,9,13,14,15,
18,45,53,56,65,66,74,76,79,184,191,236,253,254,549],[1,2,3,4,12,13,14,15,18,
45,53,58,68,69,82,85,89,185,196,244,260,263,550],[1,2,3,4,8,9,13,15,17,18,49,
53,61,65,67,71,73,74,75,76,79,189,197,242,254,255,257,258,551],[1,2,3,4,9,13,
15,17,18,49,53,60,66,67,72,74,75,76,79,190,198,240,253,255,256,259,552],[1,2,
3,4,12,13,15,16,18,47,53,58,68,69,83,85,89,182,196,244,261,264,553],[1,2,3,4,
10,11,13,15,16,18,47,53,57,70,77,78,87,88,183,207,246,262,265,554],[1,2,3,9,
12,13,14,45,56,58,79,184,248,555],[1,2,3,9,13,56,65,66,67,231,234,236,556],[1,
2,3,9,13,56,65,66,67,232,234,236,557],[1,2,3,4,8,9,13,15,38,39,56,61,65,66,71,
74,79,147,155,211,215,228,236,253,558],[1,2,3,4,9,13,15,37,39,56,60,65,66,72,
74,79,147,154,212,214,227,236,254,559],[1,2,3,4,8,9,13,15,39,40,55,61,67,72,
75,79,146,158,213,216,229,235,255,560],[1,2,4,9,15,39,40,60,66,67,74,75,76,
150,153,214,220,229,240,258,561],[1,2,4,8,9,15,39,40,61,65,67,74,76,149,151,
215,219,229,242,259,562],[1,2,4,8,9,15,38,39,60,61,66,67,73,75,76,150,152,216,
217,228,240,256,563],[1,2,4,8,9,15,37,39,61,65,67,75,76,148,151,216,218,227,
242,257,564],[1,2,3,4,8,9,12,13,15,18,53,55,58,67,73,76,170,192,235,565],[1,2,
3,4,9,10,11,13,15,18,53,56,57,70,87,88,176,207,246,566],[1,2,3,4,10,11,12,13,
15,18,53,57,58,70,87,88,173,207,246,567],[1,2,5,7,9,20,22,90,97,98,266,568],[
1,2,5,7,8,20,22,90,96,99,266,569],[1,2,5,7,9,20,22,90,97,100,266,570],[1,2,5,
6,7,8,20,21,22,91,96,101,267,571],[1,2,5,6,7,9,20,21,22,91,98,100,267,572],[1,
2,3,5,6,7,13,20,21,22,24,30,91,106,118,267,277,573],[1,2,3,5,7,13,20,22,26,30,
90,106,120,266,278,574],[1,2,3,6,7,13,21,22,23,25,30,92,106,119,268,279,280,
575],[1,2,4,5,7,15,20,22,27,33,90,107,121,266,283,576],[1,2,4,5,6,7,15,20,21,
22,27,28,91,104,121,267,282,577],[1,2,4,6,7,15,21,22,27,31,32,92,108,121,268,
281,284,578],[1,2,4,5,6,7,15,20,21,22,28,31,32,33,91,104,107,108,267,276,
579],[1,2,4,5,7,15,20,22,29,34,35,90,105,110,266,270,272,580],[1,2,4,5,6,7,15,
20,21,22,29,31,32,34,35,91,105,108,110,267,271,273,581],[1,2,4,6,7,15,21,22,
31,32,34,35,92,108,110,268,274,275,582],[1,3,4,5,6,7,18,23,24,25,26,28,29,31,
32,33,35,91,111,112,114,116,269,271,276,583],[1,3,4,5,6,7,18,23,24,25,26,28,
29,31,32,33,34,91,109,114,116,117,269,273,276,584],[1,2,5,7,8,20,22,90,99,101,
266,585],[1,2,3,5,6,7,13,20,21,22,23,24,25,26,91,118,119,120,267,269,586],[1,
2,4,6,15,21,31,32,93,108,285,286,287,587],[1,3,4,6,7,18,23,27,30,32,35,92,111,
115,274,280,284,588],[1,3,4,6,7,18,25,27,30,31,32,34,92,113,114,275,279,284,
589],[1,3,4,5,6,7,18,24,27,28,29,30,31,34,91,113,116,273,277,282,590],[1,3,4,
5,7,18,26,27,29,30,33,34,90,113,117,272,278,283,591],[1,3,4,5,6,7,18,24,27,28,
29,30,32,35,91,115,116,271,277,282,592],[1,3,4,5,7,18,26,27,29,30,33,35,90,
112,115,270,278,283,593],[1,3,4,6,7,18,23,27,30,31,34,92,109,113,275,280,281,
594],[1,3,4,6,7,18,25,27,30,31,32,35,92,114,115,274,279,281,595],[1,2,9,19,66,
94,288,596],[1,2,9,19,67,94,288,597],[1,2,4,8,9,15,19,61,94,95,288,289,290,
598],[1,4,7,27,36,125,291,599],[1,4,7,27,36,126,291,600],[1,2,7,22,36,124,291,
601],[1,2,3,5,8,9,13,20,39,55,79,99,146,292,602],[1,2,3,5,9,13,20,39,56,79,
100,147,292,603],[1,2,4,5,8,9,15,20,39,61,76,99,151,292,604],[1,2,4,5,9,15,20,
39,60,76,100,150,292,605],[1,3,6,10,12,14,23,44,59,82,103,160,298,606],[1,3,6,
11,12,14,23,44,62,82,102,159,298,607],[1,2,3,7,8,9,13,22,39,55,79,101,146,297,
608],[1,2,4,7,8,9,15,22,40,61,74,101,149,296,609],[1,2,4,7,8,9,15,22,37,61,75,
101,148,295,610],[1,3,4,6,10,12,16,23,44,63,84,103,164,298,611],[1,3,4,6,11,
12,16,23,44,64,84,102,165,298,612],[1,2,5,9,20,37,39,65,97,227,292,613],[1,2,
5,8,9,20,38,39,66,96,228,292,614],[1,2,5,9,20,39,40,67,97,229,292,615],[1,2,7,
9,22,37,39,65,98,227,295,616],[1,2,7,9,22,39,40,67,98,229,296,617],[1,2,7,9,
22,39,40,67,98,229,297,618],[1,2,3,6,10,11,13,21,23,25,41,42,57,119,136,294,
619],[1,2,3,6,8,9,13,21,23,25,37,38,55,119,133,293,620],[1,2,3,5,9,13,20,24,
39,56,118,135,292,621],[1,2,3,7,8,9,13,22,26,37,38,55,120,133,295,622],[1,2,3,
7,9,13,22,26,40,56,120,134,296,623],[1,2,3,5,10,11,13,20,24,41,42,57,118,136,
299,624],[1,2,3,6,12,13,21,23,25,44,58,119,138,298,625],[1,2,3,7,10,11,13,22,
26,41,42,57,120,136,300,626],[1,2,4,7,9,15,22,27,37,40,60,121,139,295,627],[1,
2,4,7,8,9,15,22,27,38,40,61,121,140,296,628],[1,2,3,7,12,13,22,26,43,58,120,
137,301,629],[1,2,4,5,9,15,20,29,39,65,74,105,215,292,630],[1,2,4,5,9,15,20,
28,39,66,74,104,214,292,631],[1,2,4,5,9,15,20,29,39,67,75,105,216,292,632],[1,
2,3,7,9,13,22,30,37,66,79,106,212,295,633],[1,2,3,7,9,13,22,30,40,67,79,106,
213,296,634],[1,2,4,7,9,15,22,33,40,66,76,107,220,296,635],[1,2,4,7,9,15,22,
33,37,67,76,107,218,295,636],[1,2,4,7,9,15,22,34,35,40,65,76,110,219,296,
637],[1,2,4,7,9,15,22,34,35,37,67,76,110,218,295,638],[1,2,4,7,9,15,22,34,35,
39,67,75,110,216,297,639],[1,3,4,6,12,18,23,32,44,69,89,111,221,298,640],[1,3,
4,6,12,18,23,31,44,68,89,109,223,298,641],[1,2,4,6,9,15,21,31,32,37,67,76,108,
218,293,642],[1,3,4,7,12,18,26,33,35,43,69,85,112,226,301,643],[1,3,4,7,11,18,
26,33,35,41,70,88,112,225,300,644],[1,3,4,7,11,18,26,33,34,41,70,88,117,225,
300,645],[1,3,4,5,11,18,24,28,29,41,70,88,116,225,299,646],[1,3,4,6,11,18,25,
31,32,41,70,88,114,225,294,647],[1,3,4,7,12,18,26,33,34,43,68,85,117,224,301,
648],[1,3,7,11,12,14,62,122,172,649],[1,2,4,5,8,9,15,20,29,39,61,76,96,100,
105,151,307,315,341,650],[1,2,4,5,9,15,20,28,39,60,76,97,100,104,150,307,317,
342,651],[1,2,4,5,8,9,15,20,29,37,61,75,96,100,105,148,306,318,341,652],[1,2,
4,5,8,9,15,20,28,29,38,60,61,73,75,97,99,100,104,105,152,308,316,318,342,343,
653],[1,2,3,5,8,9,13,20,24,37,38,55,99,100,118,133,306,308,329,654],[1,2,3,6,
10,11,13,21,23,25,41,42,57,102,103,119,136,309,310,330,655],[1,2,3,5,8,9,13,
20,24,39,55,79,99,100,118,146,307,329,331,656],[1,2,4,5,9,15,20,28,37,40,60,
97,100,104,139,306,312,342,657],[1,2,4,5,8,9,15,20,29,38,40,61,96,97,99,100,
105,140,308,311,312,341,343,658],[1,2,3,7,13,14,22,26,45,46,120,122,128,323,
324,659],[1,2,3,4,7,13,14,15,16,22,27,45,47,48,121,122,129,323,326,660],[1,2,
4,7,15,17,22,27,49,50,121,123,130,325,327,661],[1,2,3,4,7,13,15,16,17,22,26,
47,49,51,120,123,131,325,328,662],[1,2,3,5,8,9,13,20,24,55,65,66,99,100,118,
230,313,314,329,663],[1,2,3,4,5,8,9,13,15,18,20,24,28,29,53,61,71,76,79,96,
100,104,105,116,118,197,302,317,331,341,345,664],[1,2,3,4,5,9,13,15,18,20,24,
28,29,53,60,72,76,79,97,100,104,105,116,118,198,303,315,331,342,345,665],[1,2,
3,4,7,8,9,13,15,18,22,26,27,30,33,34,35,53,61,71,76,79,98,101,106,107,110,112,
113,115,117,120,121,197,304,305,319,332,344,346,347,666],[1,2,3,7,9,12,13,14,
22,45,56,58,98,122,252,323,667],[1,2,3,4,7,10,11,13,14,15,16,22,34,35,45,47,
57,80,81,110,122,188,323,337,338,668],[1,3,4,7,10,12,14,16,18,26,33,35,46,52,
59,80,86,112,122,201,324,337,340,669],[1,2,3,4,7,12,13,14,15,16,22,33,45,47,
58,86,107,122,186,323,340,670],[1,2,3,7,12,13,14,22,30,45,58,82,106,122,185,
323,339,671],[1,3,4,7,10,12,14,16,18,27,30,35,48,54,63,80,82,84,115,122,209,
326,337,339,672],[1,3,4,7,11,12,14,16,18,26,33,34,46,52,62,81,86,117,122,204,
324,338,340,673],[1,3,4,7,11,12,14,16,18,27,30,34,48,54,64,81,82,84,113,122,
210,326,338,339,674],[1,2,5,9,20,39,40,67,97,100,229,307,312,334,675],[1,2,4,
5,8,9,15,20,29,61,65,67,96,100,105,242,314,333,341,676],[1,2,4,5,8,9,15,20,29,
61,66,67,96,100,105,241,313,334,341,677],[1,2,4,5,9,15,20,28,60,65,67,97,100,
104,239,314,334,342,678],[1,2,4,5,9,15,20,28,60,66,67,97,100,104,240,313,333,
342,679],[1,2,4,5,9,15,20,29,65,75,76,100,105,257,314,315,318,680],[1,2,4,5,9,
15,20,28,29,66,75,76,100,104,105,256,313,317,318,681],[1,2,3,4,5,8,9,13,15,20,
24,28,29,38,55,60,61,71,72,73,96,97,99,100,104,105,118,156,302,303,311,316,
329,341,342,682],[1,2,3,4,5,8,9,13,15,20,24,29,40,55,61,72,75,97,99,100,105,
118,158,303,312,318,329,343,683],[1,2,4,5,8,9,15,20,28,38,67,76,99,100,104,
217,308,317,333,684],[1,2,4,5,9,15,20,29,39,67,75,100,105,216,307,318,333,
685],[1,2,4,5,8,9,15,20,29,38,67,76,99,100,105,217,308,315,334,686],[1,2,4,5,
9,15,20,29,37,67,76,100,105,218,306,315,333,687],[1,2,4,5,9,15,20,28,37,67,76,
100,104,218,306,317,334,688],[1,3,4,6,11,18,23,31,41,70,88,102,109,225,309,
320,335,689],[1,3,4,6,11,18,23,32,41,70,88,102,111,225,309,321,336,690],[1,3,
4,6,10,11,18,23,31,42,70,88,102,103,109,222,310,320,336,691],[1,3,4,6,10,11,
18,23,32,42,70,88,102,103,111,222,310,321,335,692],[1,2,3,5,8,9,13,20,24,55,
67,99,100,118,235,329,333,334,693],[1,2,3,6,10,11,13,21,23,25,57,70,102,103,
119,246,330,335,336,694],[1,2,4,5,9,15,20,28,40,65,76,97,100,104,219,312,314,
317,695],[1,2,4,5,9,15,20,29,40,66,76,97,100,105,220,312,313,315,696],[1,2,3,
5,9,13,20,24,40,67,79,97,100,118,213,312,331,333,697],[1,2,3,7,8,9,13,14,22,
45,55,56,101,122,141,323,698],[1,2,4,7,8,9,15,17,22,49,60,61,101,123,143,325,
699],[1,2,5,8,9,20,38,39,66,99,100,228,307,308,313,700],[1,2,5,9,20,37,39,65,
100,227,306,307,314,701],[1,2,3,5,9,13,20,24,37,66,79,100,118,212,306,313,331,
702],[1,2,3,5,8,9,13,20,24,38,65,79,99,100,118,211,308,314,331,703],[1,2,3,4,
5,8,9,13,15,18,20,24,28,29,53,55,73,76,99,100,104,105,116,118,192,315,316,317,
329,345,704],[1,2,3,4,6,10,11,13,15,18,21,23,25,31,32,53,57,87,88,102,103,108,
109,111,114,119,207,320,321,322,330,348,705],[1,2,3,4,5,9,13,15,20,24,29,67,
75,79,100,105,118,255,318,331,334,706],[1,4,5,6,7,29,32,35,90,91,92,270,271,
274,350,707],[1,4,5,6,7,29,31,34,90,91,92,272,273,275,350,708],[1,3,6,7,23,30,
92,280,349,709],[1,3,6,7,25,30,92,279,349,710],[1,2,5,6,7,20,21,22,90,91,92,
266,267,268,350,711],[1,2,6,7,21,22,92,268,349,712],[1,2,6,7,21,22,92,93,268,
287,351,713],[1,4,5,6,7,27,28,31,32,33,90,91,92,276,281,282,283,284,350,714],[
1,3,5,6,7,23,24,25,26,30,90,91,92,269,277,278,279,280,350,715],[1,4,6,7,27,31,
34,92,275,281,349,716],[1,4,6,7,27,32,35,92,274,284,349,717],[1,4,6,7,27,31,
92,93,281,286,351,718],[1,4,6,7,27,32,92,93,284,285,351,719],[1,4,17,36,50,
720],[1,3,14,36,46,721],[1,2,5,8,19,20,94,96,127,290,353,722],[1,4,7,17,19,35,
95,123,723],[1,2,5,9,19,20,94,100,127,288,353,724],[1,2,4,5,15,19,20,29,94,95,
105,127,289,353,354,725],[1,2,3,8,9,13,14,39,45,55,56,79,135,141,146,147,184,
355,359,373,726],[1,2,3,4,8,9,13,14,15,16,17,37,40,45,47,49,55,56,60,61,72,74,
75,134,139,141,142,143,148,149,153,154,157,158,177,181,190,193,357,363,365,
377,380,727],[1,2,3,4,8,9,13,14,15,16,17,37,38,40,45,47,49,55,56,60,61,71,72,
73,74,75,133,134,139,140,141,142,143,148,149,152,153,154,155,156,157,158,177,
178,180,181,189,190,193,194,356,357,358,364,366,367,376,377,380,381,728],[1,2,
3,9,10,11,13,39,40,41,42,56,57,134,135,136,171,176,394,408,729],[1,2,3,8,9,10,
11,12,13,37,38,41,42,43,44,55,57,58,133,136,137,138,170,173,175,393,395,409,
730],[1,2,3,4,8,9,13,14,15,16,18,37,38,39,45,47,52,53,54,55,56,60,61,71,72,73,
74,76,79,132,133,135,141,142,146,147,150,151,154,155,156,178,179,180,184,191,
192,197,198,360,361,362,373,375,376,385,386,731],[1,2,3,4,10,11,12,13,14,15,
16,18,41,42,44,45,47,48,52,53,54,57,58,59,62,63,64,77,78,80,81,82,84,129,132,
136,138,144,145,159,160,161,162,164,165,166,183,185,187,188,202,205,209,210,
368,370,371,374,378,382,387,391,732],[1,2,3,4,10,11,12,13,14,15,16,17,18,41,
42,43,45,46,47,49,51,52,53,54,57,58,59,62,63,64,77,78,80,81,83,86,128,131,132,
136,137,144,145,161,162,163,166,167,182,183,186,188,201,203,204,208,369,372,
379,382,388,390,733],[1,2,3,4,8,9,13,14,15,16,17,37,38,40,45,47,48,49,50,51,
55,56,60,61,71,72,73,74,75,129,130,131,139,140,142,143,148,149,152,153,154,
155,156,157,158,177,178,180,181,189,190,193,194,363,364,365,366,367,380,381,
384,389,734],[1,2,3,4,8,9,13,14,15,16,17,37,38,40,45,46,47,48,49,51,55,56,60,
61,71,72,73,74,75,128,129,131,133,134,141,142,154,155,156,157,158,177,178,180,
181,193,194,363,364,376,377,383,384,735],[1,2,3,8,9,13,14,39,45,55,56,65,66,
79,135,141,146,147,184,230,231,232,236,373,431,432,444,736],[1,2,3,4,8,9,13,
14,15,16,37,38,45,47,55,56,60,61,65,66,67,71,72,73,74,133,141,142,154,155,156,
178,180,230,231,232,233,234,235,236,239,240,241,242,376,433,434,435,443,444,
447,448,737],[1,2,3,8,9,10,11,12,13,14,45,55,56,57,58,59,62,141,145,168,171,
172,174,175,410,411,738],[1,2,3,9,12,13,14,40,43,45,46,56,58,79,82,128,134,
137,168,184,185,248,252,405,406,487,739],[1,2,3,4,9,12,13,15,16,17,40,43,47,
49,51,56,58,76,84,131,134,137,169,179,187,249,250,251,401,403,493,740],[1,2,3,
4,9,12,13,14,15,16,40,44,45,47,48,56,58,76,79,83,86,129,134,138,168,169,179,
182,184,186,248,249,250,251,252,401,402,405,407,488,491,741],[1,2,3,4,9,12,13,
14,15,16,18,39,43,44,45,47,52,53,54,56,58,72,75,82,83,84,86,132,135,137,138,
168,169,177,181,182,185,186,187,248,249,250,251,252,400,402,403,404,406,407,
489,490,492,742],[1,2,3,8,9,13,14,45,55,56,67,141,233,234,235,443,743],[1,2,3,
9,10,11,13,39,40,56,57,67,134,135,171,176,233,398,408,744],[1,2,3,9,10,11,13,
39,40,56,57,66,134,135,171,176,231,396,408,745],[1,2,3,9,10,11,13,39,40,56,57,
65,67,134,135,171,176,232,233,397,398,408,746],[1,2,3,9,10,11,13,39,40,56,57,
67,134,135,171,176,234,399,408,747],[1,2,3,8,9,13,14,39,45,55,56,67,79,135,
141,146,147,184,233,234,235,373,399,443,480,748],[1,2,3,4,8,9,13,14,15,16,40,
45,47,55,56,60,61,65,66,72,75,134,141,142,157,158,177,181,230,231,232,236,377,
396,397,444,477,749],[1,2,3,4,8,9,13,14,15,16,40,45,47,55,56,60,61,67,72,75,
134,141,142,157,158,177,181,233,234,235,377,398,443,476,750],[1,2,3,4,8,9,13,
14,15,16,40,45,47,55,56,60,61,65,67,72,75,134,141,142,157,158,177,181,232,233,
239,242,377,397,398,448,481,751],[1,2,3,4,8,9,13,14,15,16,40,45,47,55,56,60,
61,66,67,72,75,134,141,142,157,158,177,181,231,233,240,241,377,396,398,447,
482,752],[1,2,3,4,8,9,10,11,12,13,14,15,16,18,45,46,47,48,52,53,54,55,56,57,
58,59,62,71,72,73,74,76,77,78,80,81,84,86,128,129,132,141,145,168,171,175,178,
179,180,181,183,186,187,188,191,192,201,202,204,205,383,385,387,388,410,414,
418,423,753],[1,2,3,4,8,9,10,11,12,13,14,15,16,18,45,47,52,53,54,55,56,57,58,
59,62,73,74,76,85,87,88,89,132,141,145,168,171,175,178,179,191,192,195,196,
199,200,206,207,385,392,410,415,416,424,754],[1,2,3,4,10,11,12,13,14,15,16,18,
45,46,47,52,53,54,57,58,59,62,80,81,85,86,87,88,89,128,132,145,172,174,186,
188,195,196,199,200,201,204,206,207,388,392,411,421,426,755],[1,2,3,4,10,11,
12,13,14,15,16,18,45,47,48,52,53,54,57,58,59,62,77,78,84,85,87,88,89,129,132,
145,172,174,183,187,195,196,199,200,202,205,206,207,387,392,411,422,425,756],[
1,2,3,4,8,9,10,11,12,13,14,15,16,17,18,45,47,48,49,51,52,53,54,55,56,57,58,60,
61,63,64,71,72,73,74,75,76,77,78,79,80,81,82,83,84,86,129,131,132,142,144,169,
171,175,177,178,179,180,181,182,183,184,185,186,187,188,193,194,197,198,203,
208,209,210,384,386,390,391,412,413,417,418,419,420,423,757],[1,2,3,4,8,9,10,
11,13,15,38,39,40,56,57,61,66,71,74,134,135,140,149,155,171,176,214,228,231,
356,396,408,438,456,758],[1,2,3,4,9,10,11,13,15,37,39,40,56,57,60,65,72,74,75,
134,135,139,153,154,157,171,176,215,227,232,357,397,408,439,457,759],[1,2,3,4,
9,10,11,13,15,37,39,40,56,57,60,67,72,74,75,134,135,139,153,154,157,171,176,
216,229,233,357,398,408,440,458,760],[1,2,3,9,10,11,13,39,40,56,57,67,79,134,
135,147,171,176,213,229,234,355,399,408,437,462,761],[1,2,3,4,8,9,12,13,14,15,
16,18,40,45,47,52,53,54,55,56,58,60,61,72,73,74,75,76,83,84,132,134,141,142,
157,158,169,170,177,178,179,181,182,187,191,192,248,250,251,377,385,401,419,
427,490,543,762],[1,2,3,4,8,9,12,13,14,15,16,17,39,45,47,48,49,51,55,56,58,60,
61,71,72,73,74,75,76,83,84,86,129,131,135,142,150,151,168,169,170,177,178,179,
180,181,182,186,187,193,194,249,250,251,252,375,384,400,404,414,419,428,491,
493,539,543,763],[1,2,3,4,8,9,12,13,14,15,16,39,45,46,47,48,55,56,58,71,72,79,
82,86,128,129,135,141,146,147,169,170,180,181,184,185,186,248,250,252,373,383,
404,417,427,487,488,541,764],[1,2,3,4,8,9,12,13,14,15,16,18,40,45,47,52,53,54,
55,56,58,60,61,71,72,75,76,79,82,84,86,132,134,141,142,157,158,168,169,170,
177,179,180,181,184,185,186,187,197,198,249,250,251,252,377,386,401,405,414,
417,428,489,492,539,541,765],[1,2,3,4,9,10,11,12,13,14,15,16,18,43,45,47,48,
52,53,54,56,57,58,59,62,63,64,75,76,77,78,83,84,86,129,132,137,144,145,163,
167,169,173,176,177,179,182,183,186,187,202,205,249,250,251,252,379,387,403,
419,429,491,492,538,540,766],[1,2,3,4,9,10,11,12,13,14,15,16,17,18,44,45,47,
49,51,52,53,54,56,57,58,63,64,72,75,76,77,78,80,81,83,84,86,131,132,138,144,
164,165,168,169,173,176,177,179,181,182,183,186,187,188,203,208,248,249,250,
251,252,378,390,402,407,414,419,430,490,492,493,538,540,542,544,767],[1,2,3,4,
9,10,11,12,13,14,15,16,18,44,45,46,47,52,53,54,56,57,58,59,62,72,79,80,81,82,
86,128,132,138,145,159,160,169,173,176,181,184,185,186,188,201,204,248,249,
251,252,374,388,407,417,429,487,489,545,546,768],[1,2,3,4,9,10,11,12,13,14,15,
16,18,43,45,47,48,52,53,54,56,57,58,59,62,63,64,72,76,79,80,81,82,83,84,86,
129,132,137,144,145,163,167,168,169,173,176,179,181,182,184,185,186,187,188,
209,210,248,249,250,251,252,379,391,403,406,414,417,430,488,489,490,491,542,
544,545,546,769],[1,2,3,9,12,13,14,40,45,56,58,65,79,134,168,184,232,252,397,
405,770],[1,2,3,9,12,13,14,40,45,56,58,67,79,134,168,184,233,252,398,405,
771],[1,2,3,9,12,13,14,40,45,56,58,66,67,79,134,168,184,231,233,252,396,398,
405,772],[1,2,3,4,9,12,13,15,16,40,47,56,58,67,76,134,169,179,233,250,251,398,
401,773],[1,2,3,4,9,12,13,15,16,40,47,56,58,65,66,76,134,169,179,231,232,250,
251,396,397,401,774],[1,2,3,4,9,12,13,15,16,40,47,56,58,65,67,76,134,169,179,
232,233,250,251,397,398,401,775],[1,2,3,4,9,12,13,15,16,40,47,56,58,66,67,76,
134,169,179,231,233,250,251,396,398,401,776],[1,2,3,4,9,12,13,15,16,39,47,56,
58,67,75,135,168,177,234,251,399,400,777],[1,2,3,4,8,9,10,11,12,13,14,15,16,
39,40,45,47,55,56,57,58,59,60,61,62,72,75,79,80,81,134,135,141,142,145,146,
147,157,158,168,171,175,176,177,181,184,188,251,252,373,377,400,405,408,410,
413,499,546,778],[1,2,3,4,8,9,10,11,12,13,14,15,16,43,44,45,47,55,56,57,58,59,
62,63,64,71,72,80,81,82,83,86,137,138,141,144,145,159,160,163,167,168,170,171,
173,175,180,182,185,186,188,248,249,250,252,374,379,402,406,409,410,420,497,
498,541,545,779],[1,2,3,4,8,9,10,11,12,13,14,15,16,39,40,45,47,55,56,57,58,60,
61,63,64,72,75,76,77,78,80,81,134,135,141,142,144,150,151,157,158,169,171,175,
176,177,179,181,183,188,250,251,252,375,377,401,404,408,412,418,495,499,538,
542,780],[1,2,3,4,8,9,10,11,12,13,14,15,16,43,44,45,47,55,56,57,58,59,60,61,
62,63,64,71,72,73,74,77,78,80,81,83,84,86,137,138,142,144,145,163,164,165,167,
169,170,171,173,175,178,180,182,183,186,187,188,248,249,250,251,252,378,379,
403,407,409,412,423,494,496,497,498,539,540,543,544,781],[1,2,3,4,8,9,10,11,
12,13,14,15,16,37,38,45,47,55,56,57,58,59,60,61,62,63,64,71,72,73,74,133,141,
142,144,145,154,155,156,168,169,170,171,175,178,180,248,249,376,395,410,412,
427,428,496,498,782],[1,2,3,4,8,9,10,11,12,13,14,15,16,41,42,45,47,55,56,57,
58,59,60,61,62,63,64,77,78,80,81,136,141,142,144,145,161,162,166,168,169,171,
173,175,176,183,188,250,251,252,382,393,394,410,412,429,430,494,495,497,499,
783],[1,2,3,4,9,12,13,14,15,37,40,45,56,58,60,66,72,74,75,79,134,139,153,154,
157,168,184,212,231,252,253,357,396,405,450,501,784],[1,2,3,4,8,9,12,13,14,15,
38,40,45,56,58,61,65,71,74,79,134,140,149,155,168,184,211,232,252,254,356,397,
405,449,500,785],[1,2,3,4,9,12,13,14,15,37,40,45,56,58,60,67,72,74,75,79,134,
139,153,154,157,168,184,213,233,252,255,357,398,405,454,502,786],[1,2,3,4,9,
12,13,15,16,39,47,56,58,67,75,79,135,147,168,177,216,234,251,255,355,399,400,
459,513,787],[1,2,3,4,8,9,12,13,15,16,38,40,47,56,58,61,67,71,74,76,134,140,
149,155,169,179,217,233,250,251,258,356,398,401,455,506,788],[1,2,3,4,9,12,13,
15,16,37,40,47,56,58,60,67,72,74,75,76,134,139,153,154,157,169,179,218,233,
250,251,259,357,398,401,453,505,789],[1,2,3,4,9,12,13,15,16,37,40,47,56,58,60,
66,72,74,75,76,134,139,153,154,157,169,179,220,231,250,251,256,357,396,401,
452,504,790],[1,2,3,4,9,12,13,15,16,37,40,47,56,58,60,65,72,74,75,76,134,139,
153,154,157,169,179,219,232,250,251,257,357,397,401,451,503,791],[1,2,3,8,9,
10,11,12,13,14,45,55,56,57,58,59,62,65,66,141,145,168,171,175,230,231,232,236,
410,444,469,470,792],[1,2,3,8,9,10,11,12,13,14,45,55,56,57,58,59,62,67,141,
145,168,171,175,233,234,235,410,443,475,793],[1,2,3,8,9,10,11,12,13,14,45,55,
56,57,58,59,62,70,141,145,168,171,175,245,246,247,410,445,471,473,794],[1,2,3,
8,9,10,11,12,13,14,45,55,56,57,58,59,62,68,69,141,145,168,171,175,237,238,243,
244,410,446,472,474,795],[1,2,3,8,9,12,13,14,39,45,55,56,58,79,135,141,146,
147,169,170,184,248,373,427,555,796],[1,2,3,4,9,10,11,12,13,15,16,39,40,47,56,
57,58,63,64,75,76,77,78,134,135,144,168,169,171,173,176,177,179,183,250,251,
400,401,408,430,494,538,797],[1,2,3,4,8,9,10,11,12,13,15,16,43,44,47,55,56,57,
58,60,61,63,64,73,74,77,78,83,84,137,138,142,144,168,169,170,173,175,176,178,
182,183,187,249,250,251,402,403,409,428,430,495,496,540,543,798],[1,2,3,4,9,
10,11,12,13,14,15,16,39,40,45,47,56,57,58,59,62,63,64,72,76,79,80,81,134,135,
144,145,168,169,171,173,176,179,181,184,188,250,251,252,401,404,405,408,429,
430,497,542,546,799],[1,2,3,4,8,9,10,11,12,13,14,15,16,43,44,45,47,55,56,57,
58,59,60,61,62,63,64,71,72,80,81,82,84,86,137,138,141,142,144,145,168,169,170,
173,175,176,180,185,186,187,188,248,249,250,251,252,403,406,407,409,427,428,
429,430,498,499,539,541,544,545,800],[1,2,3,9,12,13,14,39,45,46,56,58,79,82,
128,147,184,185,248,252,359,487,555,801],[1,2,3,4,9,12,13,14,15,16,39,45,47,
48,56,58,79,86,129,147,184,186,248,250,359,488,555,802],[1,2,3,4,8,9,13,14,15,
18,38,39,45,53,56,61,65,66,71,74,76,79,147,151,155,184,191,197,211,215,228,
232,236,253,254,359,360,431,500,510,549,558,803],[1,2,3,4,9,13,14,15,18,37,39,
45,53,56,60,65,66,72,74,76,79,147,150,154,184,191,198,212,214,227,231,236,253,
254,359,361,432,501,511,549,559,804],[1,2,3,4,8,9,13,15,16,17,18,37,38,39,47,
49,53,56,60,61,65,66,67,71,72,73,74,75,76,79,147,148,150,152,154,155,177,189,
190,191,194,198,211,215,216,217,228,234,236,239,240,253,255,256,257,259,361,
366,434,508,513,514,518,547,552,558,563,805],[1,2,3,4,8,9,13,15,16,17,18,37,
38,39,47,49,53,56,60,61,65,66,67,71,72,73,74,75,76,79,147,148,151,152,154,155,
177,189,190,191,194,197,212,214,216,218,227,234,236,241,242,254,255,256,257,
258,360,366,433,507,513,515,521,547,551,559,564,806],[1,2,3,4,8,9,13,15,16,17,
18,38,39,40,47,49,53,55,60,61,65,66,67,71,72,73,74,75,76,79,146,149,150,151,
152,153,156,158,178,189,190,192,193,194,197,198,213,214,215,216,219,220,229,
230,235,239,240,241,242,253,254,255,256,257,258,259,362,367,435,509,512,514,
515,519,520,548,551,552,560,561,562,807],[1,2,3,4,8,9,13,15,18,38,39,53,56,61,
65,66,71,74,76,79,135,147,151,155,191,197,211,214,215,228,231,236,253,355,360,
432,438,511,532,558,808],[1,2,3,4,9,13,15,18,37,39,53,56,60,65,66,72,74,76,79,
135,147,150,154,191,198,212,214,215,227,232,236,254,355,361,431,439,510,532,
559,809],[1,2,3,4,8,9,13,15,18,38,39,40,53,56,61,65,66,67,71,74,76,79,134,140,
147,149,151,155,191,197,211,213,215,217,219,220,228,229,234,236,241,242,253,
259,356,360,433,437,441,508,520,531,535,558,562,810],[1,2,3,4,9,13,15,18,37,
39,40,53,56,60,65,66,67,72,74,75,76,79,134,139,147,150,153,154,157,191,198,
212,213,214,218,219,220,227,229,234,236,239,240,254,258,357,361,434,437,442,
507,519,531,534,559,561,811],[1,2,3,4,8,9,13,15,18,37,38,39,40,53,55,60,61,65,
66,67,71,72,73,75,76,79,133,139,140,146,148,150,151,152,156,158,192,197,198,
211,212,213,216,217,218,219,220,227,228,229,230,235,239,240,241,242,255,256,
257,358,362,435,436,441,442,509,518,521,530,534,535,560,563,564,812],[1,2,3,4,
8,9,13,14,15,16,39,40,45,47,55,56,60,61,67,72,75,79,134,135,141,142,146,147,
157,158,177,181,184,213,216,229,233,234,235,255,373,377,437,440,443,502,513,
560,813],[1,2,3,4,8,9,13,14,15,16,37,38,39,45,47,55,56,60,61,65,66,71,72,73,
74,79,133,135,141,142,146,147,154,155,156,178,180,184,211,212,214,215,227,228,
230,231,232,236,253,254,373,376,436,438,439,444,500,501,512,558,559,814],[1,2,
3,4,8,9,13,15,16,17,38,39,40,47,49,55,56,60,61,66,67,71,72,73,74,75,76,135,
140,142,143,150,151,152,153,155,156,157,179,189,194,214,216,217,220,228,229,
231,233,240,241,256,258,375,381,438,440,441,447,504,506,515,561,563,815],[1,2,
3,4,8,9,13,15,16,17,37,39,40,47,49,55,56,60,61,65,67,72,74,75,76,135,139,142,
143,148,149,150,151,153,154,157,158,179,190,193,215,216,218,219,227,229,232,
233,239,242,257,259,375,380,439,440,442,448,503,505,514,562,564,816],[1,2,3,4,
8,9,10,11,12,13,14,15,16,40,45,47,55,56,57,58,59,60,61,62,67,72,75,134,141,
142,145,157,158,168,171,175,177,181,233,234,235,377,410,443,454,458,817],[1,2,
3,4,8,9,10,11,12,13,14,15,16,37,38,45,47,55,56,57,58,59,60,61,62,65,66,71,72,
73,74,133,141,142,145,154,155,156,168,171,175,178,180,230,231,232,236,376,410,
444,449,450,456,457,818],[1,2,3,8,9,10,11,12,13,14,39,45,55,56,57,58,59,62,67,
79,135,141,145,146,147,168,171,175,184,233,234,235,373,410,443,459,462,819],[
1,2,3,4,8,9,10,11,12,13,15,16,17,38,40,47,49,55,56,57,58,60,61,63,64,66,67,71,
72,73,74,75,140,142,143,144,152,153,155,156,157,169,171,175,189,194,231,233,
240,241,381,412,447,452,455,456,458,820],[1,2,3,4,8,9,10,11,12,13,15,16,17,37,
40,47,49,55,56,57,58,60,61,63,64,65,67,72,74,75,139,142,143,144,148,149,153,
154,157,158,169,171,175,190,193,232,233,239,242,380,412,448,451,453,457,458,
821],[1,2,3,4,10,11,12,13,14,15,16,43,45,47,57,58,59,62,63,64,70,83,86,137,
144,145,163,167,172,174,182,186,245,246,247,379,411,445,465,468,822],[1,2,3,
10,11,12,13,14,44,45,57,58,59,62,70,82,138,145,159,160,172,174,185,245,246,
247,374,411,445,466,467,823],[1,2,3,4,10,11,12,13,14,15,16,41,42,45,47,57,58,
59,62,63,64,68,69,77,78,80,81,136,144,145,161,162,166,172,174,183,188,237,238,
243,244,382,411,446,460,461,463,464,824],[1,2,3,4,8,9,13,14,15,16,18,45,47,52,
53,54,55,56,65,66,67,73,74,76,132,141,178,179,191,192,230,231,232,233,234,235,
236,385,443,444,478,479,825],[1,2,3,4,8,9,13,14,15,16,17,45,47,48,49,51,55,56,
60,61,65,66,67,71,72,73,74,75,129,131,142,177,178,180,181,193,194,231,232,233,
239,240,241,242,384,447,448,476,477,481,482,826],[1,2,3,4,8,9,13,14,15,16,45,
46,47,48,55,56,65,66,67,71,72,128,129,141,180,181,230,231,232,233,234,235,236,
383,443,444,481,482,827],[1,2,3,4,10,11,12,13,14,15,16,18,45,47,48,52,53,54,
57,58,59,62,68,69,70,77,78,84,129,132,145,183,187,202,205,237,238,243,244,245,
246,247,387,445,446,484,486,828],[1,2,3,4,10,11,12,13,14,15,16,18,45,46,47,52,
53,54,57,58,59,62,68,69,70,80,81,86,128,132,145,186,188,201,204,237,238,243,
244,245,246,247,388,445,446,483,485,829],[1,2,3,4,8,9,10,11,13,14,15,16,17,37,
38,45,47,49,56,57,60,61,65,66,71,72,73,74,75,79,80,81,148,152,154,155,171,177,
184,188,189,190,194,211,212,231,232,253,254,366,413,456,457,477,500,501,830],[
1,2,3,4,9,10,11,13,14,15,16,17,40,45,47,49,56,57,60,67,72,74,75,79,80,81,153,
157,171,177,184,188,190,193,213,233,255,365,413,458,476,502,831],[1,2,3,4,9,
12,13,15,18,37,39,53,56,58,60,66,67,72,74,76,79,85,89,147,150,154,168,191,196,
198,214,218,231,234,253,258,361,416,450,459,479,507,511,832],[1,2,3,4,8,9,12,
13,15,18,38,39,53,56,58,61,65,67,71,74,76,79,85,89,147,151,155,168,191,196,
197,215,217,232,234,254,259,360,416,449,459,478,508,510,833],[1,2,3,4,8,9,12,
13,14,15,16,17,38,40,45,47,49,55,56,58,60,61,65,67,71,72,73,74,75,79,82,86,
155,156,157,158,169,180,181,184,185,186,193,194,211,213,232,233,254,255,364,
417,451,455,481,500,502,834],[1,2,3,4,9,12,13,14,15,16,17,37,40,45,47,49,56,
58,60,66,67,72,74,75,79,82,86,154,157,169,181,184,185,186,193,212,213,231,233,
253,255,363,417,452,453,482,501,502,835],[1,2,3,4,8,9,10,11,13,14,15,16,17,38,
40,45,47,49,55,56,57,60,61,66,67,71,72,73,74,75,76,77,78,80,81,155,156,157,
158,171,179,180,181,183,188,193,194,217,220,231,233,256,258,364,418,456,458,
482,504,506,836],[1,2,3,4,9,10,11,13,14,15,16,17,37,40,45,47,49,56,57,60,65,
67,72,74,75,76,77,78,80,81,154,157,171,179,181,183,188,193,218,219,232,233,
257,259,363,418,457,458,481,503,505,837],[1,2,3,4,9,12,13,14,15,16,17,37,40,
45,47,49,56,58,60,66,67,72,74,75,76,84,86,154,157,168,179,181,186,187,193,218,
220,231,233,256,259,363,414,450,454,482,504,505,838],[1,2,3,4,8,9,12,13,14,15,
16,17,38,40,45,47,49,55,56,58,60,61,65,67,71,72,73,74,75,76,84,86,155,156,157,
158,168,179,180,181,186,187,193,194,217,219,232,233,257,258,364,414,449,454,
481,503,506,839],[1,2,3,4,9,12,13,15,16,17,40,47,49,56,58,60,65,66,72,74,75,
76,83,84,153,157,169,177,179,182,187,190,193,219,220,231,232,256,257,365,419,
451,452,477,503,504,840],[1,2,3,4,8,9,12,13,15,16,17,37,38,47,49,56,58,60,61,
67,71,72,73,74,75,76,83,84,148,152,154,155,169,177,179,182,187,189,190,194,
217,218,233,258,259,366,419,453,455,476,505,506,841],[1,2,3,4,9,10,11,13,15,
18,37,39,53,56,57,60,65,67,72,74,76,79,87,88,147,150,154,171,191,198,207,215,
218,232,234,254,258,361,415,457,462,478,507,510,842],[1,2,3,4,8,9,10,11,13,15,
18,38,39,53,56,57,61,66,67,71,74,76,79,87,88,147,151,155,171,191,197,207,214,
217,231,234,253,259,360,415,456,462,479,508,511,843],[1,2,3,4,9,10,11,13,14,
15,16,39,45,47,56,57,67,75,79,80,81,147,171,177,184,188,216,234,255,359,413,
462,480,513,844],[1,3,4,10,11,12,14,16,18,42,44,48,54,62,63,69,70,77,80,82,84,
88,89,159,161,164,172,205,206,209,221,222,237,247,260,265,368,422,463,466,484,
517,523,845],[1,3,4,11,12,14,16,18,41,44,48,54,62,64,68,70,77,81,82,84,88,89,
159,162,165,172,205,206,210,223,225,238,247,262,263,370,422,464,466,486,516,
522,846],[1,3,4,10,11,12,14,16,18,41,44,48,54,59,62,64,69,70,77,78,81,82,84,
85,87,88,89,159,162,165,174,199,202,205,206,210,221,225,237,247,260,262,370,
425,461,467,484,517,522,847],[1,3,4,10,11,12,14,16,18,42,44,48,54,59,62,63,68,
70,77,78,80,82,84,85,87,88,89,159,161,164,174,199,202,205,206,209,222,223,238,
247,263,265,368,425,460,467,486,516,523,848],[1,3,4,11,12,14,16,17,18,41,43,
46,51,52,62,64,68,70,77,81,83,85,86,88,162,167,172,195,204,208,224,225,238,
245,261,265,369,421,464,465,485,525,527,849],[1,3,4,10,11,12,14,16,17,18,41,
43,46,51,52,59,62,64,69,70,77,80,81,83,85,86,87,88,89,162,167,174,195,200,201,
204,208,225,226,237,245,264,265,369,426,461,468,483,525,526,850],[1,3,4,10,11,
12,14,16,17,18,42,43,46,51,52,59,62,63,64,68,70,77,78,80,81,83,85,86,87,88,89,
161,163,166,167,174,195,200,201,203,204,208,222,224,238,245,261,262,372,426,
460,468,485,524,527,851],[1,3,4,10,11,12,14,16,17,18,42,43,46,51,52,59,62,63,
64,69,70,77,78,80,81,83,85,86,88,161,163,166,167,172,195,201,203,204,208,222,
226,237,245,262,264,372,421,463,465,483,524,526,852],[1,2,3,8,9,10,11,12,13,
14,45,55,56,57,58,59,62,65,66,141,145,168,169,170,171,175,230,231,232,236,248,
410,427,444,853],[1,2,3,9,10,11,12,13,14,45,56,57,58,59,62,68,69,145,169,172,
173,174,176,237,238,243,244,252,411,429,446,854],[1,2,3,4,9,12,13,15,16,18,39,
47,53,56,58,65,66,74,75,76,85,89,135,168,177,191,196,214,215,236,251,256,257,
400,416,470,532,547,855],[1,2,3,4,9,12,13,14,15,18,40,45,53,56,58,65,66,74,76,
79,85,89,134,168,184,191,196,219,220,236,252,253,254,405,416,470,531,549,
856],[1,2,3,4,9,12,13,14,15,18,43,45,53,56,58,68,69,74,76,82,85,89,137,168,
185,191,196,224,226,244,248,252,260,263,406,416,474,536,550,857],[1,2,3,4,9,
12,13,15,16,18,44,47,53,56,58,68,69,74,76,83,85,89,138,168,182,191,196,221,
223,244,249,250,261,264,402,416,474,533,553,858],[1,2,3,9,12,13,14,40,45,56,
58,79,134,168,184,248,252,405,555,859],[1,2,3,4,8,9,13,14,15,16,18,39,45,47,
52,53,54,55,56,65,66,73,74,76,79,132,135,141,146,147,178,179,184,191,192,214,
215,230,231,232,236,253,254,373,385,444,510,511,512,532,549,860],[1,2,3,4,8,9,
13,14,15,16,18,37,38,45,47,52,53,54,55,56,60,61,67,71,72,73,74,76,132,133,141,
142,154,155,156,178,179,180,191,192,217,218,233,234,235,258,259,376,385,443,
505,506,507,508,530,548,861],[1,2,3,4,8,9,13,14,15,16,18,40,45,47,52,53,54,55,
56,60,61,65,66,72,73,74,75,76,132,134,141,142,157,158,177,178,179,181,191,192,
219,220,230,231,232,236,256,257,377,385,444,503,504,509,531,547,862],[1,2,3,4,
8,9,13,14,15,16,17,18,38,40,45,47,49,52,53,54,55,56,60,61,65,67,71,72,73,74,
75,76,79,132,140,142,143,152,153,155,156,157,179,180,184,189,194,197,198,211,
213,217,219,232,233,239,242,254,255,257,258,381,386,448,500,502,503,506,518,
519,535,551,863],[1,2,3,4,8,9,13,14,15,16,17,18,37,40,45,47,49,52,53,54,55,56,
60,61,66,67,71,72,74,75,76,79,132,139,142,143,148,149,153,154,157,158,179,180,
184,190,193,197,198,212,213,218,220,231,233,240,241,253,255,256,259,380,386,
447,501,502,504,505,520,521,534,552,864],[1,2,3,4,10,11,12,13,14,15,16,18,41,
42,45,47,52,53,54,57,58,59,62,63,64,70,77,78,80,81,85,87,88,89,132,136,144,
145,161,162,166,183,188,195,196,199,200,206,207,222,225,245,246,247,262,265,
382,392,445,522,523,524,525,537,554,865],[1,2,3,4,10,11,12,13,14,15,16,18,43,
45,47,52,53,54,57,58,59,62,63,64,68,69,83,85,86,87,88,89,132,137,144,145,163,
167,182,186,195,196,199,200,206,207,224,226,237,238,243,244,261,264,379,392,
446,526,527,528,536,553,866],[1,2,3,4,10,11,12,13,14,15,16,18,44,45,47,52,53,
54,57,58,59,62,68,69,82,85,87,88,89,132,138,145,159,160,185,195,196,199,200,
206,207,221,223,237,238,243,244,260,263,374,392,446,516,517,529,533,550,867],[
1,2,3,4,8,9,12,13,14,15,16,37,38,45,47,55,56,58,60,61,67,71,72,73,74,133,141,
142,154,155,156,169,170,178,180,233,234,235,248,376,427,443,453,455,868],[1,2,
3,4,8,9,12,13,14,15,16,40,45,47,55,56,58,60,61,65,66,72,75,134,141,142,157,
158,169,170,177,181,230,231,232,236,248,377,427,444,451,452,869],[1,2,3,4,8,9,
12,13,15,16,17,38,40,47,49,55,56,58,60,61,65,67,71,72,73,74,75,140,142,143,
152,153,155,156,157,168,169,170,189,194,232,233,239,242,249,381,428,448,449,
451,454,455,870],[1,2,3,4,8,9,12,13,15,16,17,37,40,47,49,55,56,58,60,61,66,67,
72,74,75,139,142,143,148,149,153,154,157,158,168,169,170,190,193,231,233,240,
241,249,380,428,447,450,452,453,454,871],[1,2,3,4,8,9,12,13,14,15,16,18,45,47,
52,53,54,55,56,58,67,73,74,76,132,141,169,170,178,179,191,192,233,234,235,248,
385,427,443,565,872],[1,2,3,4,9,10,11,12,13,14,15,16,18,45,47,52,53,54,56,57,
58,59,62,70,85,87,88,89,132,145,169,173,176,195,196,199,200,206,207,245,246,
247,252,392,429,445,566,567,873],[1,2,3,4,8,9,12,13,15,16,17,37,38,39,47,49,
56,58,60,61,65,66,71,72,73,74,75,135,148,152,154,155,168,177,189,190,194,214,
215,227,228,231,232,251,366,400,438,439,449,450,477,874],[1,2,3,4,9,12,13,15,
16,17,39,40,47,49,56,58,60,67,72,74,75,135,153,157,168,177,190,193,216,229,
233,251,365,400,440,454,476,875],[1,2,3,4,8,9,12,13,14,15,16,17,38,39,40,45,
47,49,55,56,58,60,61,66,67,71,72,73,74,75,135,155,156,157,158,169,180,181,193,
194,214,216,228,229,231,233,250,252,364,404,438,440,452,455,482,876],[1,2,3,4,
9,12,13,14,15,16,17,37,39,40,45,47,49,56,58,60,65,67,72,74,75,135,154,157,169,
181,193,215,216,227,229,232,233,250,252,363,404,439,440,451,453,481,877],[1,2,
3,9,12,13,14,39,40,45,56,58,67,79,134,147,168,184,213,229,234,252,359,405,437,
459,480,878],[1,2,3,4,9,10,11,13,14,15,16,18,45,47,53,56,57,65,66,74,75,76,79,
80,81,87,88,171,177,184,188,191,207,236,253,254,256,257,413,415,469,547,549,
879],[1,2,3,4,8,9,10,11,12,13,14,15,16,18,45,47,53,55,57,58,68,69,71,72,73,76,
80,81,82,83,85,87,88,89,175,180,182,185,188,192,196,207,244,260,261,263,264,
420,424,472,550,553,880],[1,2,3,4,8,9,10,11,12,13,14,15,16,37,38,45,47,55,56,
57,58,60,61,71,72,73,74,77,78,80,81,82,83,84,86,133,141,142,154,155,156,170,
175,176,178,180,182,183,185,186,187,188,250,251,252,376,395,420,423,495,499,
539,541,543,881],[1,2,3,4,8,9,10,11,12,13,14,15,16,41,42,45,47,55,57,58,59,62,
63,64,71,72,73,74,77,78,80,81,82,83,84,86,136,144,145,161,162,166,170,173,175,
178,180,182,183,185,186,187,188,248,249,382,393,420,423,496,498,540,544,545,
882],[1,2,3,4,9,10,11,12,13,14,15,16,41,42,45,47,56,57,58,59,62,63,64,72,75,
76,77,78,79,80,81,136,144,145,161,162,166,171,173,176,177,179,181,183,184,188,
250,251,252,382,394,413,418,494,497,538,542,546,883],[1,2,3,8,9,12,13,14,45,
55,56,58,65,66,67,141,169,170,230,231,232,233,234,235,236,248,427,443,444,
884],[1,2,3,4,9,10,11,13,14,15,16,45,47,56,57,70,75,79,80,81,171,177,184,188,
246,413,473,885],[1,2,3,4,8,9,10,11,12,13,14,15,16,45,47,55,57,58,67,70,71,72,
80,81,82,83,175,180,182,185,188,235,246,420,471,475,886],[1,2,3,4,9,10,11,12,
13,14,15,16,18,45,46,47,48,52,53,54,56,57,58,59,62,63,64,75,79,80,81,82,84,86,
128,129,132,144,145,171,173,177,184,185,186,187,188,201,204,209,210,248,249,
250,252,388,391,413,487,488,492,497,544,545,887],[1,2,3,4,9,10,11,12,13,14,15,
16,17,18,45,47,48,49,51,52,53,54,56,57,58,59,62,63,64,72,76,77,78,80,81,82,83,
84,86,129,131,132,144,145,171,173,179,181,182,183,185,186,187,188,202,203,205,
208,209,210,248,249,250,251,252,387,390,391,418,489,490,491,493,494,497,540,
544,545,888],[1,2,3,4,8,9,10,11,12,13,14,15,16,17,18,45,47,48,49,51,52,53,54,
55,56,57,58,59,60,61,62,63,64,71,72,73,74,75,76,77,78,79,80,81,83,84,86,129,
131,132,142,144,145,170,175,176,177,178,179,180,181,182,183,184,186,187,188,
193,194,197,198,202,203,205,208,248,249,250,251,252,384,386,387,390,423,488,
490,492,493,495,498,538,539,543,546,889],[1,2,3,4,8,9,10,11,12,13,14,15,16,17,
18,45,47,48,49,51,52,53,54,55,56,57,58,60,61,63,64,71,72,73,74,75,76,77,78,80,
81,82,83,84,86,129,131,132,141,142,144,170,175,176,177,178,179,180,181,182,
183,185,186,187,188,191,192,193,194,203,208,209,210,249,250,251,252,384,385,
390,391,423,489,491,492,493,496,499,538,541,542,543,890],[1,2,3,4,8,9,10,11,
12,13,14,15,16,18,45,46,47,48,52,53,54,55,56,57,58,59,60,61,62,63,64,71,72,76,
79,80,81,82,83,84,86,128,129,132,141,142,144,145,170,175,176,179,180,181,182,
184,185,186,187,188,197,198,201,204,209,210,248,249,250,251,252,383,386,388,
391,420,487,489,490,491,498,499,539,541,542,546,891],[1,2,3,9,12,13,14,40,45,
56,58,68,69,79,134,168,184,244,252,405,474,892],[1,2,3,9,12,13,14,43,45,56,58,
65,66,68,69,82,137,168,185,236,244,248,252,406,470,474,893],[1,2,3,4,9,12,13,
15,16,39,47,56,58,68,69,75,135,168,177,244,251,400,474,894],[1,2,3,4,9,12,13,
15,16,44,47,56,58,65,66,68,69,83,138,168,182,236,244,249,250,402,470,474,
895],[1,2,3,4,9,10,11,12,13,14,15,16,45,47,56,57,58,75,79,80,81,171,177,184,
188,248,413,555,896],[1,2,3,8,9,13,14,45,55,56,65,66,67,141,230,231,232,233,
234,235,236,443,444,556,557,897],[1,2,3,9,10,11,13,39,40,56,57,70,134,135,171,
176,246,408,473,898],[1,2,3,8,9,10,11,12,13,43,44,55,57,58,67,70,137,138,170,
173,175,235,246,409,471,475,899],[1,2,3,4,9,10,11,13,15,18,39,40,53,56,57,65,
66,74,76,87,88,134,135,171,176,191,207,214,215,219,220,236,408,415,469,531,
532,900],[1,2,3,4,8,9,10,11,12,13,15,18,43,44,53,55,57,58,68,69,73,76,85,87,
88,89,137,138,170,173,175,192,196,207,221,223,224,226,244,409,424,472,533,536,
901],[1,2,3,4,8,9,10,11,12,13,15,16,47,55,56,57,58,60,61,67,68,69,77,78,142,
175,176,183,235,244,250,472,475,495,902],[1,2,3,4,9,10,11,12,13,15,16,47,56,
57,58,63,64,65,66,70,77,78,144,171,173,183,236,246,251,469,473,494,903],[1,2,
3,4,8,9,10,11,12,13,15,16,47,55,57,58,63,64,68,69,70,73,74,144,170,175,178,
244,246,249,471,472,496,904],[1,2,3,4,9,10,11,13,15,37,39,56,57,60,65,66,67,
72,74,79,147,154,171,212,214,227,232,234,236,239,240,254,431,434,457,462,469,
557,559,905],[1,2,3,4,8,9,10,11,13,15,38,39,56,57,61,65,66,67,71,74,79,147,
155,171,211,215,228,231,234,236,241,242,253,432,433,456,462,469,556,558,906],[
1,2,3,4,8,9,12,13,15,38,39,56,58,61,65,66,67,71,74,79,147,155,168,211,215,228,
232,234,236,241,242,253,431,433,449,459,470,557,558,907],[1,2,3,4,9,12,13,15,
37,39,56,58,60,65,66,67,72,74,79,147,154,168,212,214,227,231,234,236,239,240,
254,432,434,450,459,470,556,559,908],[1,2,3,4,8,9,10,11,12,13,15,18,41,42,53,
55,57,58,70,73,76,85,87,88,89,136,173,175,192,196,207,222,225,246,393,424,471,
537,567,909],[1,2,3,4,9,10,11,13,15,18,41,42,53,56,57,70,74,76,87,88,136,171,
176,191,207,222,225,246,394,415,473,537,566,910],[1,2,3,4,8,9,10,11,12,13,15,
18,37,38,53,55,57,58,67,73,76,85,87,88,89,133,170,175,192,196,207,217,218,235,
395,424,475,530,565,911],[1,2,3,4,9,13,15,16,18,39,47,53,56,65,66,67,74,75,76,
79,147,177,191,214,216,231,232,234,236,253,255,256,257,431,477,478,511,513,
547,556,912],[1,2,3,4,9,13,15,16,18,39,47,53,56,65,66,67,74,75,76,79,147,177,
191,215,216,231,232,234,236,254,255,256,257,432,477,479,510,513,547,557,913],[
1,2,3,4,9,13,14,15,18,37,45,53,56,60,65,66,67,72,74,76,79,154,184,191,212,218,
231,234,236,239,240,253,254,258,434,479,480,501,507,549,556,914],[1,2,3,4,8,9,
13,14,15,18,38,45,53,56,61,65,66,67,71,74,76,79,155,184,191,211,217,232,234,
236,241,242,253,254,259,433,478,480,500,508,549,557,915],[1,2,3,9,12,13,14,45,
46,56,58,67,79,82,128,184,185,234,248,252,480,487,555,916],[1,2,3,4,9,12,13,
14,15,16,45,47,48,56,58,67,79,86,129,184,186,234,248,250,480,488,555,917],[1,
2,3,4,8,9,10,11,12,13,15,16,18,47,53,55,56,57,58,60,61,70,73,76,77,78,85,87,
88,89,142,175,176,183,192,196,207,246,250,262,265,424,471,495,554,566,918],[1,
2,3,4,8,9,10,11,12,13,15,16,18,47,53,55,57,58,63,64,67,73,74,76,85,87,88,89,
144,170,175,178,192,196,207,235,249,258,259,424,475,496,548,565,919],[1,2,3,4,
9,10,11,12,13,15,16,18,47,53,56,57,58,63,64,70,74,76,77,78,87,88,144,171,173,
183,191,207,246,251,262,265,415,473,494,554,567,920],[1,2,3,8,9,10,11,12,13,
37,38,55,57,58,68,69,70,133,170,175,244,246,395,471,472,921],[1,2,3,8,9,10,11,
12,13,41,42,55,57,58,67,68,69,136,173,175,235,244,393,472,475,922],[1,2,3,9,
10,11,13,41,42,56,57,65,66,70,136,171,176,236,246,394,469,473,923],[1,2,3,4,9,
13,15,18,39,40,53,56,65,66,67,74,76,79,134,147,191,213,214,219,220,229,231,
234,236,253,396,432,437,479,511,531,556,924],[1,2,3,4,9,13,15,18,39,40,53,56,
65,66,67,74,76,79,134,147,191,213,215,219,220,229,232,234,236,254,397,431,437,
478,510,531,557,925],[1,2,3,4,9,13,15,18,37,39,53,56,60,65,66,67,72,74,76,135,
154,191,214,215,218,227,232,234,236,239,240,258,399,434,439,478,507,532,557,
926],[1,2,3,4,8,9,13,15,18,38,39,53,56,61,65,66,67,71,74,76,135,155,191,214,
215,217,228,231,234,236,241,242,259,399,433,438,479,508,532,556,927],[1,2,5,7,
8,9,20,22,38,90,96,97,98,99,266,311,568,569,928],[1,2,5,7,9,20,22,40,90,97,98,
100,266,312,568,570,929],[1,2,5,7,9,20,22,65,90,97,98,266,568,930],[1,2,5,7,9,
20,22,67,90,97,98,266,568,931],[1,2,3,5,7,9,13,20,22,26,30,79,90,97,98,106,
120,266,278,304,568,574,932],[1,2,4,5,7,9,15,20,22,27,33,76,90,97,98,107,121,
266,283,305,568,576,933],[1,2,5,6,7,9,20,21,22,37,91,100,267,293,295,306,
934],[1,2,5,7,9,20,22,39,90,100,266,292,297,307,935],[1,3,5,6,7,11,23,24,25,
26,41,91,102,269,294,299,300,309,936],[1,2,3,4,5,6,7,8,13,15,20,21,22,24,28,
30,31,32,33,71,91,96,101,104,106,107,108,118,267,276,277,302,319,571,573,579,
937],[1,2,4,5,6,7,9,15,20,21,22,27,28,31,32,33,76,91,98,100,104,107,108,121,
267,276,282,305,317,572,577,579,938],[1,2,4,5,7,8,9,15,20,22,29,34,35,61,90,
97,98,99,101,105,110,266,270,272,343,344,568,580,585,939],[1,2,3,4,5,7,13,15,
18,20,22,26,27,29,30,33,34,35,53,90,105,106,107,110,112,113,115,117,120,121,
266,270,272,278,283,346,347,574,576,580,591,593,940],[1,2,3,4,5,6,7,13,15,18,
20,21,22,24,27,28,29,30,31,32,34,35,53,91,104,105,106,108,110,113,115,116,118,
121,267,271,273,277,282,345,347,573,577,581,590,592,941],[1,2,3,4,6,7,13,15,
18,21,22,23,25,27,30,31,32,34,35,53,92,106,108,109,110,111,113,114,115,119,
121,268,274,275,279,280,281,284,347,348,575,578,582,588,589,594,595,942],[1,2,
4,5,7,8,9,15,20,22,29,34,35,61,90,96,97,99,100,105,110,266,270,272,341,343,
569,570,580,943],[1,2,4,5,6,7,8,9,15,20,21,22,29,31,32,34,35,61,91,96,98,100,
101,105,108,110,267,271,273,341,344,571,572,581,944],[1,2,5,7,8,9,20,22,38,90,
96,97,99,100,101,266,308,311,569,570,585,945],[1,2,3,4,5,6,7,8,13,15,20,21,22,
23,24,25,26,27,28,71,91,96,101,104,118,119,120,121,267,269,282,302,332,571,
577,586,946],[1,2,3,5,6,7,9,13,20,21,22,23,24,25,26,30,79,91,98,100,106,118,
119,120,267,269,277,304,331,572,573,586,947],[1,2,3,4,5,6,7,13,15,18,20,21,22,
23,24,25,26,28,29,31,32,33,34,35,53,91,104,105,107,108,109,110,111,112,114,
116,117,118,119,120,267,269,271,273,276,345,346,348,579,581,583,584,586,948],[
1,2,3,4,5,7,8,13,15,20,22,26,27,30,33,71,90,99,101,106,107,120,121,266,278,
283,319,332,574,576,585,949],[1,2,4,8,9,15,19,61,66,67,94,95,241,288,289,290,
596,597,598,950],[1,5,6,7,90,91,92,93,349,350,351,951],[1,2,4,7,15,22,27,36,
121,124,125,126,291,352,599,600,601,952],[1,2,3,5,9,13,14,20,39,45,56,79,100,
147,184,292,307,359,603,953],[1,2,3,4,5,8,9,13,15,18,20,38,39,53,56,61,71,74,
76,79,99,100,147,151,155,191,197,292,308,360,603,604,954],[1,2,3,4,5,9,13,15,
18,20,37,39,53,56,60,72,74,76,79,100,147,150,154,191,198,292,306,361,603,605,
955],[1,2,3,4,5,8,9,13,15,18,20,38,39,53,55,60,61,71,72,73,76,79,99,100,146,
150,151,156,192,197,198,292,308,362,602,604,605,956],[1,3,4,6,11,12,14,16,18,
23,41,44,48,54,62,64,77,81,82,84,102,159,162,165,205,210,298,309,370,607,612,
957],[1,3,4,6,10,11,12,14,16,18,23,42,44,48,54,62,63,77,80,82,84,102,103,159,
161,164,205,209,298,310,368,607,611,958],[1,3,4,6,10,11,12,14,16,18,23,42,44,
48,54,59,63,64,78,80,81,82,84,102,103,160,164,165,166,202,209,210,298,310,371,
606,611,612,959],[1,2,3,7,9,13,14,22,39,45,56,79,122,147,184,297,323,359,
960],[1,2,3,4,7,9,13,14,15,16,17,22,37,40,45,47,49,56,60,72,74,75,122,123,154,
157,181,193,295,296,323,325,363,961],[1,3,4,7,11,12,14,16,17,18,26,41,43,46,
51,52,62,64,77,81,83,86,122,123,162,167,204,208,300,301,324,328,369,962],[1,2,
3,5,8,9,13,20,37,38,39,55,65,66,79,96,97,99,133,146,211,212,227,228,230,292,
311,436,602,613,614,963],[1,2,3,5,9,13,20,39,40,56,67,79,97,100,134,147,213,
229,234,292,312,437,603,615,964],[1,2,4,5,9,15,20,37,39,40,60,65,67,76,97,100,
139,150,218,219,227,229,239,292,312,442,605,613,615,965],[1,2,4,5,8,9,15,20,
38,39,40,61,66,67,76,96,97,99,140,151,217,220,228,229,241,292,311,441,604,614,
615,966],[1,2,3,4,5,8,9,13,15,20,24,28,38,39,56,61,66,71,74,96,104,118,135,
155,214,228,231,292,302,438,614,621,631,967],[1,2,3,4,5,9,13,15,20,24,29,37,
39,56,60,65,72,74,97,105,118,135,154,215,227,232,292,303,439,613,621,630,
968],[1,2,3,4,5,9,13,15,20,24,29,39,40,56,60,67,72,75,97,105,118,135,157,216,
229,233,292,303,440,615,621,632,969],[1,2,3,7,8,9,13,22,26,30,37,38,39,55,65,
66,79,98,106,120,133,146,211,212,227,228,230,295,304,436,616,622,633,970],[1,
2,3,7,9,13,22,26,30,39,40,56,67,79,98,106,120,134,147,213,229,234,296,304,437,
617,623,634,971],[1,2,4,7,9,15,22,27,33,37,39,40,60,65,67,76,98,107,121,139,
150,218,219,227,229,239,295,305,442,616,627,636,972],[1,2,4,7,8,9,15,22,27,33,
38,39,40,61,66,67,76,98,107,121,140,151,217,220,228,229,241,296,305,441,617,
628,635,973],[1,2,3,5,9,12,13,20,39,56,58,67,79,100,147,168,234,292,334,459,
603,974],[1,2,3,5,9,10,11,13,20,39,56,57,67,79,100,147,171,234,292,333,462,
603,975],[1,3,6,10,11,12,14,23,44,59,62,70,82,102,159,174,247,298,336,467,607,
976],[1,3,6,11,12,14,23,44,62,70,82,102,159,172,247,298,335,466,607,977],[1,2,
3,7,10,11,12,13,14,22,45,57,58,59,62,122,145,172,174,323,411,649,978],[1,2,3,
5,9,13,20,39,56,65,66,79,100,147,231,236,292,314,432,603,979],[1,2,3,5,9,13,
20,39,56,65,66,79,100,147,232,236,292,313,431,603,980],[1,2,3,4,5,8,9,13,15,
20,29,38,39,56,61,65,66,71,74,79,96,100,105,147,155,211,215,228,236,253,292,
341,558,603,614,630,981],[1,2,3,4,5,9,13,15,20,28,37,39,56,60,65,66,72,74,79,
97,100,104,147,154,212,214,227,236,254,292,342,559,603,613,631,982],[1,2,3,4,
5,8,9,13,15,20,29,39,40,55,61,67,72,75,79,97,99,105,146,158,213,216,229,235,
255,292,343,560,602,615,632,983],[1,2,4,5,8,9,15,20,29,38,39,60,61,66,67,73,
75,76,96,100,105,150,152,216,217,228,240,256,292,341,563,605,614,632,984],[1,
2,4,5,8,9,15,20,29,39,40,61,65,67,74,76,97,99,105,149,151,215,219,229,242,259,
292,343,562,604,615,630,985],[1,2,4,5,8,9,15,20,29,37,39,61,65,67,75,76,97,99,
105,148,151,216,218,227,242,257,292,343,564,604,613,632,986],[1,2,4,5,9,15,20,
28,39,40,60,66,67,74,75,76,97,100,104,150,153,214,220,229,240,258,292,342,561,
605,615,631,987],[1,2,4,7,8,9,15,22,34,35,39,40,61,65,67,74,76,98,101,110,149,
151,215,219,229,242,259,296,344,562,609,617,637,988],[1,2,4,7,8,9,15,22,34,35,
37,39,61,65,67,75,76,98,101,110,148,151,216,218,227,242,257,295,344,564,610,
616,638,989],[1,2,3,4,7,8,9,13,15,22,34,35,39,40,55,61,67,72,75,79,98,101,110,
146,158,213,216,229,235,255,297,344,560,608,618,639,990],[1,3,4,7,11,12,14,16,
34,41,62,64,68,77,81,122,162,172,238,338,464,649,991],[1,3,4,7,11,12,14,16,33,
43,62,64,70,83,86,122,167,172,245,340,465,649,992],[1,3,4,7,10,11,12,14,16,35,
42,62,63,69,77,80,122,161,172,237,337,463,649,993],[1,3,7,11,12,14,30,44,62,
70,82,122,159,172,247,339,466,649,994],[1,2,3,5,9,13,20,24,39,56,79,100,118,
135,147,292,331,355,603,621,995],[1,2,3,4,7,8,9,13,15,22,26,27,37,38,40,55,60,
61,71,72,73,75,101,120,121,133,139,140,148,152,156,158,295,332,358,610,622,
627,996],[1,2,3,4,7,8,9,13,15,22,26,27,38,40,56,61,71,74,101,120,121,134,140,
149,155,296,332,356,609,623,628,997],[1,2,3,4,5,8,9,13,15,16,20,28,29,39,47,
55,65,66,73,74,79,99,104,105,146,178,214,215,230,253,254,292,316,512,602,630,
631,998],[1,2,3,4,5,9,13,15,16,20,29,39,47,56,67,75,79,100,105,147,177,216,
234,255,292,318,513,603,632,999],[1,2,3,4,5,9,13,15,18,20,28,39,53,56,66,74,
76,79,100,104,147,191,214,231,253,292,317,511,603,631,1000],[1,2,3,4,5,9,13,
15,18,20,29,39,53,56,65,74,76,79,100,105,147,191,215,232,254,292,315,510,603,
630,1001],[1,2,4,5,8,9,15,17,20,28,29,39,49,61,66,67,73,74,75,76,99,104,105,
151,189,214,216,241,256,258,292,316,515,604,631,632,1002],[1,2,4,5,9,15,17,20,
29,39,49,60,65,67,74,75,76,100,105,150,190,215,216,239,257,259,292,318,514,
605,630,632,1003],[1,3,4,6,11,12,14,16,18,23,31,44,54,62,68,82,88,89,102,109,
159,206,223,238,263,298,320,516,607,641,1004],[1,3,4,6,11,12,14,16,18,23,32,
44,54,62,69,82,88,89,102,111,159,206,221,237,260,298,321,517,607,640,1005],[1,
3,4,6,10,12,14,16,18,23,31,32,44,52,59,68,69,82,87,89,103,109,111,160,200,221,
223,243,260,263,298,322,529,606,640,641,1006],[1,2,3,4,7,8,9,13,15,18,22,30,
33,40,53,61,66,67,71,74,76,79,101,106,107,149,197,213,220,241,253,259,296,319,
520,609,634,635,1007],[1,2,3,4,7,8,9,13,15,18,22,30,33,37,53,61,66,67,71,75,
76,79,101,106,107,148,197,212,218,241,255,256,295,319,521,610,633,636,1008],[
1,2,3,5,8,9,13,14,20,24,39,45,55,56,79,99,100,118,135,141,146,147,184,292,329,
373,602,603,621,1009],[1,2,3,4,5,8,9,13,15,16,20,24,39,47,55,56,60,61,76,99,
100,118,135,142,150,151,179,292,329,375,604,605,621,1010],[1,2,3,6,10,11,12,
13,14,21,23,25,44,45,57,58,59,62,82,102,103,119,138,145,159,160,185,298,330,
374,606,607,625,1011],[1,2,3,4,6,10,11,12,13,15,16,21,23,25,44,47,57,58,63,64,
84,102,103,119,138,144,164,165,187,298,330,378,611,612,625,1012],[1,2,3,4,5,8,
9,13,15,20,24,28,29,37,38,40,55,60,61,71,72,73,75,96,97,99,100,104,105,118,
133,139,140,148,152,156,158,302,303,306,308,311,312,316,318,329,341,342,343,
358,652,653,654,657,658,682,683,1013],[1,2,3,4,5,8,9,13,15,18,20,24,28,29,38,
39,53,55,60,61,71,72,73,76,79,96,97,99,100,104,105,116,118,146,150,151,156,
192,197,198,302,303,307,311,315,316,317,329,331,341,342,345,362,650,651,656,
664,665,682,704,1014],[1,3,4,7,11,12,14,16,18,27,48,54,62,77,84,88,89,122,172,
205,206,326,422,649,1015],[1,3,4,7,11,12,14,16,18,26,46,52,62,81,85,86,88,122,
172,195,204,324,421,649,1016],[1,2,3,4,5,9,13,15,18,20,24,28,29,39,53,56,65,
66,74,76,104,105,116,118,135,191,214,215,236,292,345,532,621,630,631,1017],[1,
2,3,4,6,12,13,15,18,21,23,25,31,32,44,53,58,68,69,85,89,108,109,111,114,119,
138,196,221,223,244,298,348,533,625,640,641,1018],[1,2,3,4,7,8,9,13,15,18,22,
27,30,34,35,38,40,53,61,65,67,71,76,79,106,110,113,115,121,140,197,211,213,
217,219,242,296,347,535,628,634,637,1019],[1,2,3,4,7,9,13,15,18,22,27,30,34,
35,37,40,53,60,66,67,72,76,79,106,110,113,115,121,139,198,212,213,218,220,240,
295,347,534,627,633,638,1020],[1,2,3,4,7,9,13,15,18,22,26,33,34,35,40,53,56,
65,66,74,76,107,110,112,117,120,134,191,219,220,236,296,346,531,623,635,637,
1021],[1,2,3,4,7,8,9,13,15,18,22,26,33,34,35,37,38,53,55,67,73,76,107,110,112,
117,120,133,192,217,218,235,295,346,530,622,636,638,1022],[1,2,3,4,6,8,9,13,
15,18,21,23,25,31,32,37,38,53,55,67,73,76,108,109,111,114,119,133,192,217,218,
235,293,348,530,620,642,1023],[1,2,3,4,6,10,11,13,15,18,21,23,25,31,32,41,42,
53,57,70,87,88,108,109,111,114,119,136,207,222,225,246,294,348,537,619,647,
1024],[1,2,3,4,5,10,11,13,15,18,20,24,28,29,41,42,53,57,70,87,88,104,105,116,
118,136,207,222,225,246,299,345,537,624,646,1025],[1,2,3,4,7,12,13,15,18,22,
26,33,34,35,43,53,58,68,69,85,89,107,110,112,117,120,137,196,224,226,244,301,
346,536,629,643,648,1026],[1,2,3,4,7,10,11,13,15,18,22,26,33,34,35,41,42,53,
57,70,87,88,107,110,112,117,120,136,207,222,225,246,300,346,537,626,644,645,
1027],[1,2,3,5,8,9,10,11,12,13,20,24,41,42,55,57,58,99,100,118,136,173,175,
299,329,393,624,1028],[1,2,3,6,9,10,11,13,21,23,25,41,42,56,57,102,103,119,
136,171,176,294,330,394,619,1029],[1,2,3,6,8,9,10,11,12,13,21,23,25,37,38,55,
57,58,102,103,119,133,170,175,293,330,395,620,1030],[1,2,3,4,5,8,9,13,15,20,
24,28,29,38,55,60,61,65,66,67,71,72,73,96,97,99,100,104,105,118,156,230,235,
239,240,241,242,302,303,311,313,314,316,329,333,334,341,342,435,663,676,677,
678,679,682,693,1031],[1,2,4,5,8,9,15,20,29,38,39,40,61,66,67,76,96,97,99,100,
105,140,151,217,220,228,229,241,307,308,311,312,313,315,334,341,343,441,650,
658,675,677,686,696,700,1032],[1,2,4,5,9,15,20,28,37,39,40,60,65,67,76,97,100,
104,139,150,218,219,227,229,239,306,307,312,314,317,334,342,442,651,657,675,
678,688,695,701,1033],[1,2,3,4,5,8,9,13,15,18,20,24,28,29,38,53,60,61,65,67,
72,73,75,76,79,97,99,100,104,105,116,118,152,198,211,217,239,255,257,303,308,
314,315,316,318,331,334,342,343,345,518,653,665,678,680,686,703,706,1034],[1,
2,3,4,5,8,9,13,15,18,20,24,28,29,37,53,61,66,67,71,75,76,79,96,100,104,105,
116,118,148,197,212,218,241,255,256,302,306,313,317,318,331,334,341,345,521,
652,664,677,681,688,702,706,1035],[1,2,3,4,5,8,9,13,15,20,24,29,39,40,55,61,
67,72,75,79,97,99,100,105,118,146,158,213,216,229,235,255,303,307,312,318,329,
331,333,334,343,560,656,675,683,685,693,697,706,1036],[1,2,3,4,7,8,9,10,11,12,
13,14,15,16,22,34,35,45,47,55,56,57,58,60,61,80,81,98,101,110,122,141,142,175,
176,188,251,252,323,337,338,344,499,667,668,698,1037],[1,2,3,5,8,9,13,20,24,
37,38,39,55,65,66,79,99,100,118,133,146,211,212,227,228,230,306,307,308,313,
314,329,331,436,654,656,663,700,701,702,703,1038],[1,2,3,4,5,8,9,13,15,18,20,
24,28,29,38,40,53,61,65,67,71,76,79,96,97,99,100,104,105,116,118,140,197,211,
213,217,219,242,302,308,311,312,314,317,331,333,341,343,345,535,658,664,676,
684,695,697,703,1039],[1,2,3,4,5,9,13,15,18,20,24,28,29,37,40,53,60,66,67,72,
76,79,97,100,104,105,116,118,139,198,212,213,218,220,240,303,306,312,313,315,
331,333,342,345,534,657,665,679,687,696,697,702,1040],[1,2,3,4,7,8,9,12,13,14,
15,16,22,30,33,45,47,55,56,58,71,72,82,86,101,106,107,122,141,170,180,185,186,
250,252,319,323,339,340,541,670,671,698,1041],[1,2,3,4,7,9,12,13,14,15,16,22,
27,33,45,47,48,56,58,76,83,86,98,107,121,122,129,179,182,186,249,251,252,305,
323,326,340,491,660,667,670,1042],[1,2,3,7,9,12,13,14,22,26,30,45,46,56,58,79,
82,98,106,120,122,128,184,185,248,252,304,323,324,339,487,659,667,671,1043],[
1,2,3,4,5,8,9,13,15,18,20,24,28,29,40,53,55,61,65,66,72,73,75,76,97,99,100,
104,105,116,118,158,192,219,220,230,256,257,303,312,313,314,315,316,317,318,
329,343,345,509,663,680,681,683,695,696,704,1044],[1,2,3,4,7,10,11,12,13,14,
15,16,18,22,26,33,34,35,45,46,47,52,53,54,57,58,59,62,80,81,86,107,110,112,
117,120,122,128,132,145,186,188,201,204,323,324,337,338,340,346,388,659,668,
669,670,673,1045],[1,2,3,4,7,10,11,12,13,14,15,16,18,22,27,30,34,35,45,47,48,
52,53,54,57,58,63,64,80,81,82,84,106,110,113,115,121,122,129,132,144,185,187,
188,209,210,323,326,337,338,339,347,391,660,668,671,672,674,1046],[1,2,3,4,5,
8,9,13,15,18,20,24,28,29,37,38,53,55,67,73,76,99,100,104,105,116,118,133,192,
217,218,235,306,308,315,316,317,329,333,334,345,530,654,684,686,687,688,693,
704,1047],[1,2,3,4,6,10,11,13,15,18,21,23,25,31,32,41,42,53,57,70,87,88,102,
103,108,109,111,114,119,136,207,222,225,246,309,310,320,321,322,330,335,336,
348,537,655,689,690,691,692,694,705,1048],[1,2,4,5,8,9,15,20,28,29,38,39,60,
61,66,67,73,75,76,97,99,100,104,105,150,152,216,217,228,240,256,307,308,313,
316,317,318,333,342,343,563,651,653,679,681,684,685,700,1049],[1,2,4,5,8,9,15,
20,29,37,39,61,65,67,75,76,96,100,105,148,151,216,218,227,242,257,306,307,314,
315,318,333,341,564,650,652,676,680,685,687,701,1050],[1,2,3,4,7,8,9,13,14,15,
16,22,26,27,45,46,47,48,55,56,71,72,101,120,121,122,128,129,141,180,181,323,
324,326,332,383,659,660,698,1051],[1,2,3,4,7,8,9,13,15,16,17,22,26,27,47,49,
50,51,60,61,71,72,73,74,75,101,120,121,123,130,131,143,189,190,193,194,325,
327,328,332,389,661,662,699,1052],[1,2,3,6,7,13,21,22,23,25,30,92,106,119,268,
279,280,349,575,709,710,712,1053],[1,2,4,5,6,7,15,20,21,22,29,31,32,34,35,90,
91,92,105,108,110,266,267,268,270,271,272,273,274,275,350,580,581,582,707,708,
711,1054],[1,2,5,6,7,8,20,21,22,90,91,92,96,99,101,266,267,268,350,569,571,
585,711,1055],[1,3,6,7,10,23,30,92,103,280,349,709,1056],[1,3,6,7,11,23,30,92,
102,280,349,709,1057],[1,2,5,6,7,9,20,21,22,90,91,92,97,98,100,266,267,268,
350,568,570,572,711,1058],[1,2,3,5,6,7,13,20,21,22,23,24,25,26,30,90,91,92,
106,118,119,120,266,267,268,269,277,278,279,280,350,573,574,575,586,711,715,
1059],[1,3,4,6,7,18,23,27,30,32,35,92,111,115,274,280,284,349,588,709,717,
1060],[1,3,4,6,7,18,23,27,30,31,34,92,109,113,275,280,281,349,594,709,716,
1061],[1,3,4,6,7,18,25,27,30,31,32,34,35,92,113,114,115,274,275,279,281,284,
349,589,595,710,716,717,1062],[1,2,4,5,6,7,15,20,21,22,27,28,31,32,33,90,91,
92,104,107,108,121,266,267,268,276,281,282,283,284,350,576,577,578,579,711,
714,1063],[1,3,4,5,6,7,18,23,24,25,26,27,28,29,30,31,32,33,34,90,91,92,109,
113,114,116,117,269,272,273,275,276,277,278,279,280,281,282,283,284,350,584,
589,590,591,594,708,714,715,1064],[1,3,4,5,6,7,18,23,24,25,26,27,28,29,30,31,
32,33,35,90,91,92,111,112,114,115,116,269,270,271,274,276,277,278,279,280,281,
282,283,284,350,583,588,592,593,595,707,714,715,1065],[1,2,4,6,7,15,21,22,27,
31,32,34,35,92,108,110,121,268,274,275,281,284,349,578,582,712,716,717,1066],[
1,2,4,6,7,15,21,22,27,31,32,92,93,108,121,268,281,284,285,286,287,351,578,587,
713,718,719,1067],[1,2,4,15,17,36,49,50,124,130,720,1068],[1,2,3,13,14,36,45,
46,124,128,721,1069],[1,2,5,9,19,20,39,94,97,288,292,1070],[1,2,7,9,19,22,37,
94,98,288,295,1071],[1,2,7,9,19,22,40,94,98,288,296,1072],[1,2,5,9,19,20,66,
94,100,127,288,313,353,596,724,1073],[1,2,4,5,8,9,15,19,20,29,61,94,95,96,100,
105,127,288,289,290,341,353,354,598,722,724,725,1074],[1,2,5,9,19,20,67,94,
100,127,288,334,353,597,724,1075],[1,2,4,7,15,17,19,22,34,35,49,94,95,110,123,
289,325,723,1076],[1,2,3,4,8,9,13,14,15,16,17,37,38,40,45,46,47,48,49,50,51,
55,56,60,61,71,72,73,74,75,128,129,130,131,133,134,139,140,141,142,143,148,
149,152,153,154,155,156,157,158,177,178,180,181,189,190,193,194,356,357,358,
363,364,365,366,367,376,377,380,381,383,384,389,727,728,734,735,1077],[1,2,3,
4,8,9,10,11,12,13,14,15,16,39,40,41,42,45,47,55,56,57,58,59,60,61,62,63,64,72,
75,76,77,78,79,80,81,134,135,136,141,142,144,145,146,147,150,151,157,158,161,
162,166,168,169,171,173,175,176,177,179,181,183,184,188,250,251,252,373,375,
377,382,393,394,400,401,404,405,408,410,412,413,418,429,430,494,495,497,499,
538,542,546,729,778,780,783,797,799,883,1078],[1,2,3,4,8,9,10,11,12,13,14,15,
16,37,38,41,42,43,44,45,47,55,56,57,58,59,60,61,62,63,64,71,72,73,74,77,78,80,
81,82,83,84,86,133,136,137,138,141,142,144,145,154,155,156,159,160,161,162,
163,164,165,166,167,168,169,170,171,173,175,176,178,180,182,183,185,186,187,
188,248,249,250,251,252,374,376,378,379,382,393,394,395,402,403,406,407,409,
410,412,420,423,427,428,429,430,494,495,496,497,498,499,539,540,541,543,544,
545,730,779,781,782,783,798,800,881,882,1079],[1,2,3,4,8,9,13,14,15,16,18,37,
38,39,45,47,52,53,54,55,56,60,61,65,66,71,72,73,74,76,79,132,133,135,141,142,
146,147,150,151,154,155,156,178,179,180,184,191,192,197,198,211,212,214,215,
227,228,230,231,232,236,253,254,355,359,360,361,362,373,375,376,385,386,431,
432,436,438,439,444,500,501,510,511,512,532,549,558,559,726,731,736,803,804,
808,809,814,860,1080],[1,2,3,4,8,9,13,14,15,16,17,18,37,38,39,40,45,47,49,52,
53,54,55,56,60,61,65,66,67,71,72,73,74,75,76,79,132,133,134,135,139,140,141,
142,143,146,147,148,149,150,151,152,153,154,155,156,157,158,177,178,179,180,
181,184,189,190,191,192,193,194,197,198,211,212,213,214,215,216,217,218,219,
220,227,228,229,230,231,232,233,234,235,236,239,240,241,242,253,254,255,256,
257,258,259,356,357,358,360,361,362,364,366,367,373,375,376,377,380,381,385,
386,433,434,435,436,437,438,439,440,441,442,443,444,447,448,500,501,502,503,
504,505,506,507,508,509,512,513,514,515,518,519,520,521,530,531,534,535,547,
548,551,552,558,559,560,561,562,563,564,728,731,737,805,806,807,810,811,812,
813,814,815,816,861,862,863,864,1081],[1,2,3,4,8,9,12,13,14,15,16,39,45,46,47,
48,55,56,58,71,72,79,82,86,128,129,135,141,146,147,169,170,180,181,184,185,
186,248,250,252,355,359,373,383,404,417,427,487,488,541,555,726,764,796,801,
802,1082],[1,2,3,4,8,9,10,11,13,15,38,39,40,41,42,56,57,61,66,71,74,134,135,
136,140,149,155,171,176,214,228,231,356,394,396,408,438,456,729,745,758,
1083],[1,2,3,4,9,10,11,13,15,37,39,40,41,42,56,57,60,65,67,72,74,75,134,135,
136,139,153,154,157,171,176,215,216,227,229,232,233,357,394,397,398,408,439,
440,457,458,729,744,746,759,760,1084],[1,2,3,9,10,11,13,39,40,41,42,56,57,67,
79,134,135,136,147,171,176,213,229,234,355,394,399,408,437,462,729,747,761,
1085],[1,2,3,4,8,9,12,13,14,15,38,40,43,45,46,56,58,61,65,71,74,79,82,128,134,
137,140,149,155,168,184,185,211,232,248,252,254,356,397,405,406,449,487,500,
739,770,785,1086],[1,2,3,4,9,12,13,14,15,37,40,43,45,46,56,58,60,66,67,72,74,
75,79,82,128,134,137,139,153,154,157,168,184,185,212,213,231,233,248,252,253,
255,357,396,398,405,406,450,454,487,501,502,739,771,772,784,786,1087],[1,2,3,
4,8,9,12,13,15,16,17,38,40,43,47,49,51,56,58,61,67,71,74,76,84,131,134,137,
140,149,155,169,179,187,217,233,249,250,251,258,356,398,401,403,455,493,506,
740,773,788,1088],[1,2,3,4,9,12,13,15,16,17,37,40,43,47,49,51,56,58,60,65,66,
67,72,74,75,76,84,131,134,137,139,153,154,157,169,179,187,218,219,220,231,232,
233,249,250,251,256,257,259,357,396,397,398,401,403,451,452,453,493,503,504,
505,740,774,775,776,789,790,791,1089],[1,2,3,4,9,12,13,14,15,16,37,40,44,45,
47,48,56,58,60,65,66,72,74,75,76,79,83,86,129,134,138,139,153,154,157,168,169,
179,182,184,186,212,219,231,232,248,249,250,251,252,253,257,357,396,397,401,
402,405,407,450,451,488,491,501,503,741,770,774,784,791,1090],[1,2,3,4,8,9,12,
13,14,15,16,38,40,44,45,47,48,56,58,61,65,67,71,74,76,79,83,86,129,134,138,
140,149,155,168,169,179,182,184,186,211,217,232,233,248,249,250,251,252,254,
258,356,397,398,401,402,405,407,449,455,488,491,500,506,741,771,775,785,788,
1091],[1,2,3,4,9,12,13,14,15,16,37,40,44,45,47,48,56,58,60,66,67,72,74,75,76,
79,83,86,129,134,138,139,153,154,157,168,169,179,182,184,186,213,218,220,231,
233,248,249,250,251,252,255,256,259,357,396,398,401,402,405,407,452,453,454,
488,491,502,504,505,741,772,773,776,786,789,790,1092],[1,2,3,4,8,9,10,11,12,
13,14,15,16,18,45,46,47,48,52,53,54,55,56,57,58,59,62,71,72,73,74,76,77,78,80,
81,84,85,86,87,88,89,128,129,132,141,145,168,171,172,174,175,178,179,180,181,
183,186,187,188,191,192,195,196,199,200,201,202,204,205,206,207,383,385,387,
388,392,410,411,414,415,416,418,421,422,423,424,425,426,738,753,754,755,756,
1093],[1,2,3,4,8,9,13,14,15,16,45,46,47,48,55,56,65,66,67,71,72,128,129,141,
180,181,230,231,232,233,234,235,236,383,443,444,481,482,556,557,743,827,897,
1094],[1,2,3,4,8,9,10,11,12,13,14,15,16,39,40,45,47,55,56,57,58,59,60,61,62,
68,69,72,75,79,80,81,134,135,141,142,145,146,147,157,158,168,171,175,176,177,
181,184,188,237,238,243,244,251,252,373,377,400,405,408,410,413,446,472,474,
499,546,778,795,892,894,1095],[1,2,3,4,8,9,10,11,12,13,14,15,16,43,44,45,47,
55,56,57,58,59,62,63,64,65,66,68,69,71,72,80,81,82,83,86,137,138,141,144,145,
159,160,163,167,168,170,171,173,175,180,182,185,186,188,230,231,232,236,237,
238,243,244,248,249,250,252,374,379,402,406,409,410,420,444,446,469,470,472,
474,497,498,541,545,779,792,795,893,895,1096],[1,2,3,4,8,9,10,11,12,13,14,15,
16,39,40,45,47,55,56,57,58,59,60,61,62,67,72,75,79,80,81,134,135,141,142,145,
146,147,157,158,168,171,175,176,177,181,184,188,233,234,235,251,252,373,377,
399,400,405,408,410,413,443,480,499,546,747,748,777,778,1097],[1,2,3,4,8,9,10,
11,12,13,14,15,16,39,40,45,47,55,56,57,58,59,60,61,62,65,67,72,75,79,80,81,
134,135,141,142,145,146,147,157,158,168,171,175,176,177,181,184,188,232,233,
239,242,251,252,373,377,397,398,400,405,408,410,413,448,481,499,546,746,751,
770,771,778,1098],[1,2,3,4,8,9,10,11,12,13,14,15,16,39,40,45,47,55,56,57,58,
59,60,61,62,66,67,72,75,79,80,81,134,135,141,142,145,146,147,157,158,168,171,
175,176,177,181,184,188,231,233,240,241,251,252,373,377,396,398,400,405,408,
410,413,447,482,499,546,744,745,752,772,778,1099],[1,2,3,4,8,9,10,11,12,13,14,
15,16,39,40,45,47,55,56,57,58,60,61,63,64,65,67,72,75,76,77,78,80,81,134,135,
141,142,144,150,151,157,158,169,171,175,176,177,179,181,183,188,232,233,234,
235,239,242,250,251,252,375,377,397,398,401,404,408,412,418,443,448,476,481,
495,499,538,542,744,746,750,751,773,775,780,1100],[1,2,3,4,8,9,10,11,12,13,14,
15,16,39,40,45,47,55,56,57,58,60,61,63,64,65,66,67,72,75,76,77,78,80,81,134,
135,141,142,144,150,151,157,158,169,171,175,176,177,179,181,183,188,230,231,
232,233,236,240,241,250,251,252,375,377,396,397,398,401,404,408,412,418,444,
447,477,482,495,499,538,542,745,746,749,752,774,776,780,1101],[1,2,3,4,8,9,10,
11,12,13,14,15,16,37,38,45,47,55,56,57,58,59,60,61,62,63,64,65,66,71,72,73,74,
133,141,142,144,145,154,155,156,168,169,170,171,172,174,175,178,180,230,231,
232,236,248,249,376,395,410,411,412,427,428,444,449,450,456,457,469,470,496,
498,738,782,792,818,853,1102],[1,2,3,4,8,9,10,11,12,13,14,15,16,41,42,45,47,
55,56,57,58,59,60,61,62,63,64,68,69,77,78,80,81,136,141,142,144,145,161,162,
166,168,169,171,172,173,174,175,176,183,188,237,238,243,244,250,251,252,382,
393,394,410,411,412,429,430,446,460,461,463,464,472,474,494,495,497,499,738,
783,795,824,854,1103],[1,2,3,4,8,9,12,13,14,15,16,39,45,46,47,48,55,56,58,65,
66,67,71,72,79,82,86,128,129,135,141,146,147,169,170,180,181,184,185,186,230,
231,232,233,234,235,236,248,250,252,373,383,399,404,417,427,431,432,443,444,
480,481,482,487,488,541,736,748,764,827,884,1104],[1,2,3,4,9,10,11,12,13,15,
16,37,39,40,47,56,57,58,60,63,64,65,66,72,74,75,76,77,78,134,135,139,144,153,
154,157,168,169,171,173,176,177,179,183,215,220,227,231,232,250,251,256,357,
396,397,400,401,408,430,439,452,457,494,504,538,745,759,774,790,797,1105],[1,
2,3,4,8,9,10,11,12,13,15,16,38,39,40,47,56,57,58,61,63,64,66,67,71,74,75,76,
77,78,134,135,140,144,149,155,168,169,171,173,176,177,179,183,214,217,228,231,
233,250,251,258,356,396,398,400,401,408,430,438,455,456,494,506,538,744,758,
776,788,797,1106],[1,2,3,4,9,10,11,12,13,15,16,37,39,40,47,56,57,58,60,63,64,
65,67,72,74,75,76,77,78,134,135,139,144,153,154,157,168,169,171,173,176,177,
179,183,216,218,219,229,232,233,250,251,257,259,357,397,398,400,401,408,430,
440,451,453,458,494,503,505,538,746,760,773,775,789,791,797,1107],[1,2,3,4,8,
9,10,11,12,13,14,15,16,38,39,40,45,47,56,57,58,59,61,62,63,64,65,66,67,71,72,
74,76,79,80,81,134,135,140,144,145,149,155,168,169,171,173,176,179,181,184,
188,211,214,217,228,231,232,233,250,251,252,254,258,356,396,397,398,401,404,
405,408,429,430,438,449,455,456,497,500,506,542,546,746,758,772,774,785,788,
799,1108],[1,2,3,4,9,10,11,12,13,14,15,16,37,39,40,45,47,56,57,58,59,60,62,63,
64,66,67,72,74,75,76,79,80,81,134,135,139,144,145,153,154,157,168,169,171,173,
176,179,181,184,188,212,216,220,229,231,233,250,251,252,253,256,357,396,398,
401,404,405,408,429,430,440,450,452,458,497,501,504,542,546,745,760,772,776,
784,790,799,1109],[1,2,3,4,9,10,11,12,13,14,15,16,37,39,40,45,47,56,57,58,59,
60,62,63,64,65,67,72,74,75,76,79,80,81,134,135,139,144,145,153,154,157,168,
169,171,173,176,179,181,184,188,213,215,219,227,232,233,250,251,252,255,257,
357,397,398,401,404,405,408,429,430,439,451,454,457,497,502,503,542,546,746,
759,770,775,786,791,799,1110],[1,2,3,4,9,10,11,12,13,14,15,16,37,39,40,45,47,
56,57,58,59,60,62,63,64,67,72,74,75,76,79,80,81,134,135,139,144,145,153,154,
157,168,169,171,173,176,179,181,184,188,213,216,218,229,233,250,251,252,255,
259,357,398,401,404,405,408,429,430,440,453,454,458,497,502,505,542,546,744,
760,771,773,786,789,799,1111],[1,2,3,4,9,10,11,12,13,15,16,39,40,47,56,57,58,
63,64,67,75,76,77,78,79,134,135,144,147,168,169,171,173,176,177,179,183,213,
216,229,234,250,251,255,355,399,400,401,408,430,437,459,462,494,513,538,747,
761,777,787,797,1112],[1,2,3,4,8,9,10,11,12,13,14,15,16,17,37,38,39,40,45,47,
49,55,56,57,58,59,60,61,62,65,66,71,72,73,74,75,79,80,81,133,134,135,139,140,
141,142,143,145,146,147,148,149,152,153,154,155,156,157,158,168,171,175,176,
177,178,180,181,184,188,189,190,193,194,211,212,214,215,227,228,230,231,232,
236,251,252,253,254,356,357,358,364,366,367,373,376,377,380,381,396,397,400,
405,408,410,413,436,438,439,444,449,450,456,457,477,499,500,501,512,546,558,
559,728,749,758,759,778,784,785,814,818,830,874,1113],[1,2,3,4,8,9,10,11,12,
13,14,15,16,17,37,39,40,45,47,49,55,56,57,58,59,60,61,62,67,72,74,75,79,80,81,
134,135,139,141,142,143,145,146,147,148,149,153,154,157,158,168,171,175,176,
177,181,184,188,190,193,213,216,229,233,234,235,251,252,255,357,363,365,373,
377,380,398,400,405,408,410,413,437,440,443,454,458,476,499,502,513,546,560,
727,750,760,778,786,813,817,831,875,1114],[1,2,3,4,8,9,10,11,12,13,14,15,16,
17,37,39,40,45,47,49,55,56,57,58,60,61,63,64,65,67,72,74,75,76,77,78,80,81,
134,135,139,141,142,143,144,148,149,150,151,153,154,157,158,169,171,175,176,
177,179,181,183,188,190,193,215,216,218,219,227,229,232,233,239,242,250,251,
252,257,259,357,363,365,375,377,380,397,398,401,404,408,412,418,439,440,442,
448,451,453,457,458,481,495,499,503,505,514,538,542,562,564,727,751,759,760,
780,789,791,816,821,837,877,1115],[1,2,3,4,8,9,10,11,12,13,14,15,16,17,37,38,
39,40,45,47,49,55,56,57,58,60,61,63,64,66,67,71,72,73,74,75,76,77,78,80,81,
133,134,135,139,140,141,142,143,144,148,149,150,151,152,153,154,155,156,157,
158,169,171,175,176,177,178,179,180,181,183,188,189,190,193,194,214,216,217,
220,228,229,231,233,240,241,250,251,252,256,258,356,357,358,364,366,367,375,
376,377,380,381,396,398,401,404,408,412,418,438,440,441,447,452,455,456,458,
482,495,499,504,506,515,538,542,561,563,728,752,758,760,780,788,790,815,820,
836,876,1116],[1,2,3,4,8,9,10,11,12,13,14,15,16,39,40,45,47,55,56,57,58,59,60,
61,62,67,72,75,79,80,81,134,135,141,142,145,146,147,157,158,168,171,175,176,
177,181,184,188,213,216,229,233,234,235,251,252,255,355,359,373,377,399,400,
405,408,410,413,437,440,443,459,462,480,499,502,513,546,560,726,748,761,778,
787,813,819,844,878,1117],[1,2,3,4,8,9,12,13,14,15,16,18,37,38,39,45,47,52,53,
54,55,56,58,60,61,67,71,72,73,74,76,79,132,133,135,141,142,146,147,150,151,
154,155,156,169,170,178,179,180,184,191,192,197,198,233,234,235,248,360,361,
362,373,375,376,385,386,399,427,443,453,455,480,555,565,731,748,796,868,872,
1118],[1,2,3,4,8,9,10,11,12,13,14,15,16,18,37,38,45,47,52,53,54,55,56,57,58,
59,60,61,62,63,64,67,71,72,73,74,76,85,87,88,89,132,133,141,142,144,145,154,
155,156,168,169,170,171,175,178,179,180,191,192,195,196,199,200,206,207,217,
218,233,234,235,248,249,258,259,376,385,392,395,410,412,415,416,424,427,428,
443,475,496,498,505,506,507,508,530,548,565,754,782,793,861,872,911,919,
1119],[1,2,3,4,8,9,10,11,12,13,14,15,16,18,41,42,45,47,52,53,54,55,56,57,58,
59,60,61,62,63,64,70,73,74,76,77,78,80,81,85,87,88,89,132,136,141,142,144,145,
161,162,166,168,169,171,173,175,176,178,179,183,188,191,192,195,196,199,200,
206,207,222,225,245,246,247,250,251,252,262,265,382,385,392,393,394,410,412,
415,416,424,429,430,445,471,473,494,495,497,499,522,523,524,525,537,554,566,
567,754,783,794,865,873,909,910,918,920,1120],[1,2,3,4,8,9,12,13,14,15,16,17,
18,37,38,40,45,47,49,52,53,54,55,56,58,60,61,67,71,72,73,74,75,76,83,84,132,
133,134,139,140,141,142,143,148,149,152,153,154,155,156,157,158,169,170,177,
178,179,180,181,182,187,189,190,191,192,193,194,217,218,233,234,235,248,250,
251,258,259,356,357,358,364,366,367,376,377,380,381,385,398,401,419,427,443,
453,455,476,490,505,506,507,508,530,543,548,728,750,762,788,789,841,861,868,
1121],[1,2,3,4,8,9,12,13,14,15,16,17,18,37,40,45,47,49,52,53,54,55,56,58,60,
61,65,66,72,73,74,75,76,83,84,132,134,139,141,142,143,148,149,153,154,157,158,
169,170,177,178,179,181,182,187,190,191,192,193,219,220,230,231,232,236,248,
250,251,256,257,357,363,365,377,380,385,396,397,401,419,427,444,451,452,477,
490,503,504,509,531,543,547,727,749,762,790,791,840,862,869,1122],[1,2,3,4,8,
9,12,13,14,15,16,17,18,37,38,40,45,47,49,52,53,54,55,56,58,60,61,65,67,71,72,
73,74,75,76,79,82,84,86,132,133,134,139,140,141,142,143,148,149,152,153,154,
155,156,157,158,168,169,170,177,178,179,180,181,184,185,186,187,189,190,193,
194,197,198,211,213,217,219,232,233,239,242,249,250,251,252,254,255,257,258,
356,357,358,364,366,367,376,377,380,381,386,397,398,401,405,414,417,428,448,
449,451,454,455,481,489,492,500,502,503,506,518,519,535,539,541,551,728,751,
765,785,786,788,791,834,839,863,870,1123],[1,2,3,4,8,9,12,13,14,15,16,17,18,
37,40,45,47,49,52,53,54,55,56,58,60,61,66,67,71,72,74,75,76,79,82,84,86,132,
134,139,141,142,143,148,149,153,154,157,158,168,169,170,177,179,180,181,184,
185,186,187,190,193,197,198,212,213,218,220,231,233,240,241,249,250,251,252,
253,255,256,259,357,363,365,377,380,386,396,398,401,405,414,417,428,447,450,
452,453,454,482,489,492,501,502,504,505,520,521,534,539,541,552,727,752,765,
784,786,789,790,835,838,864,871,1124],[1,2,3,4,8,9,10,11,12,13,14,15,16,39,40,
45,47,55,56,57,58,59,60,61,62,65,66,72,75,79,80,81,134,135,141,142,145,146,
147,157,158,168,169,170,171,175,176,177,181,184,188,230,231,232,236,248,251,
252,373,377,400,405,408,410,413,427,431,432,444,451,452,499,546,555,736,778,
796,853,869,1125],[1,2,3,4,8,9,13,14,15,16,17,37,38,40,45,46,47,48,49,51,55,
56,60,61,65,66,67,71,72,73,74,75,128,129,131,133,134,141,142,154,155,156,157,
158,177,178,180,181,193,194,230,231,232,233,234,235,236,239,240,241,242,363,
364,376,377,383,384,396,397,398,433,434,435,443,444,447,448,476,477,481,482,
735,737,749,750,751,752,826,827,1126],[1,2,3,4,8,9,10,11,12,13,14,15,16,17,18,
37,38,39,40,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,71,72,73,
74,75,76,77,78,79,80,81,82,83,84,86,128,129,131,132,133,134,135,141,142,144,
145,146,147,150,151,154,155,156,157,158,168,169,170,171,175,176,177,178,179,
180,181,182,183,184,185,186,187,188,191,192,193,194,197,198,201,202,203,204,
205,208,209,210,248,249,250,251,252,360,361,362,363,364,373,375,376,377,383,
384,385,386,387,388,390,391,395,400,401,404,405,408,410,412,413,414,417,418,
419,420,423,427,428,487,488,489,490,491,492,493,495,496,498,499,538,539,541,
542,543,546,731,735,753,757,762,763,764,765,778,780,782,881,889,890,891,
1127],[1,2,3,4,8,9,10,11,12,13,14,15,16,17,18,41,42,43,44,45,46,47,48,49,51,
52,53,54,55,56,57,58,59,60,61,62,63,64,71,72,73,74,75,76,77,78,79,80,81,82,83,
84,86,128,129,131,132,136,137,138,141,142,144,145,159,160,161,162,163,164,165,
166,167,168,169,170,171,173,175,176,177,178,179,180,181,182,183,184,185,186,
187,188,191,192,193,194,197,198,201,202,203,204,205,208,209,210,248,249,250,
251,252,368,369,370,371,372,374,378,379,382,383,384,385,386,387,388,390,391,
393,394,402,403,406,407,409,410,412,413,414,417,418,419,420,423,429,430,487,
488,489,490,491,492,493,494,495,496,497,498,499,538,539,540,541,542,543,544,
545,546,732,733,753,757,766,767,768,769,779,781,783,882,883,887,888,889,890,
891,1128],[1,2,3,4,8,9,10,11,12,13,14,15,16,18,39,40,45,47,52,53,54,55,56,57,
58,59,60,61,62,65,66,72,73,74,75,76,79,80,81,85,87,88,89,132,134,135,141,142,
145,146,147,157,158,168,171,175,176,177,178,179,181,184,188,191,192,195,196,
199,200,206,207,214,215,219,220,230,231,232,236,251,252,253,254,256,257,373,
377,385,392,400,405,408,410,413,415,416,424,444,469,470,499,503,504,509,510,
511,512,531,532,546,547,549,754,778,792,855,856,860,862,879,900,1129],[1,2,3,
4,8,9,10,11,12,13,14,15,16,18,43,44,45,47,52,53,54,55,56,57,58,59,62,63,64,68,
69,71,72,73,74,76,80,81,82,83,85,86,87,88,89,132,137,138,141,144,145,159,160,
163,167,168,170,171,173,175,178,179,180,182,185,186,188,191,192,195,196,199,
200,206,207,221,223,224,226,237,238,243,244,248,249,250,252,260,261,263,264,
374,379,385,392,402,406,409,410,415,416,420,424,446,472,474,497,498,516,517,
526,527,528,529,533,536,541,545,550,553,754,779,795,857,858,866,867,880,901,
1130],[1,2,3,4,8,9,10,11,12,13,14,15,16,39,40,45,47,55,56,57,58,59,60,61,62,
67,72,75,79,80,81,134,135,141,142,145,146,147,157,158,168,171,172,174,175,176,
177,181,184,188,233,234,235,251,252,373,377,400,405,408,410,411,413,443,454,
458,459,462,475,499,546,738,778,793,817,819,1131],[1,2,3,4,8,9,10,11,12,13,14,
15,16,43,44,45,47,55,56,57,58,59,62,63,64,70,71,72,80,81,82,83,86,137,138,141,
144,145,159,160,163,167,168,170,171,172,173,174,175,180,182,185,186,188,245,
246,247,248,249,250,252,374,379,402,406,409,410,411,420,445,465,466,467,468,
471,473,497,498,541,545,738,779,794,822,823,1132],[1,2,3,4,8,9,10,11,12,13,14,
15,16,18,45,46,47,48,52,53,54,55,56,57,58,59,62,65,66,67,71,72,73,74,76,77,78,
80,81,84,86,128,129,132,141,145,168,171,175,178,179,180,181,183,186,187,188,
191,192,201,202,204,205,230,231,232,233,234,235,236,383,385,387,388,410,414,
418,423,443,444,469,470,475,478,479,481,482,753,792,793,825,827,1133],[1,2,3,
4,8,9,10,11,12,13,14,15,16,18,45,46,47,48,52,53,54,55,56,57,58,59,62,68,69,70,
71,72,73,74,76,77,78,80,81,84,86,128,129,132,141,145,168,171,175,178,179,180,
181,183,186,187,188,191,192,201,202,204,205,237,238,243,244,245,246,247,383,
385,387,388,410,414,418,423,445,446,471,472,473,474,483,484,485,486,753,794,
795,828,829,1134],[1,2,3,4,8,9,10,11,12,13,14,15,16,39,40,45,47,55,56,57,58,
59,60,61,62,70,72,75,79,80,81,134,135,141,142,145,146,147,157,158,168,171,175,
176,177,181,184,188,245,246,247,251,252,373,377,400,405,408,410,413,445,471,
473,499,546,778,794,885,898,1135],[1,2,3,4,8,9,10,11,12,13,14,15,16,43,44,45,
47,55,56,57,58,59,62,63,64,67,70,71,72,80,81,82,83,86,137,138,141,144,145,159,
160,163,167,168,170,171,173,175,180,182,185,186,188,233,234,235,245,246,247,
248,249,250,252,374,379,402,406,409,410,420,443,445,471,473,475,497,498,541,
545,779,793,794,886,899,1136],[1,2,3,4,8,9,10,11,12,13,14,15,16,18,39,40,43,
44,45,46,47,48,52,53,54,55,56,57,58,59,60,61,62,63,64,71,72,75,76,79,80,81,82,
83,84,86,128,129,132,134,135,137,138,141,142,144,145,146,147,157,158,159,160,
163,167,168,169,170,171,173,175,176,177,179,180,181,182,184,185,186,187,188,
197,198,201,204,209,210,248,249,250,251,252,373,374,377,379,383,386,388,391,
400,401,402,403,404,405,406,407,408,409,410,413,414,417,420,427,428,429,430,
487,488,489,490,491,492,497,498,499,539,541,542,544,545,546,739,741,742,764,
765,768,769,778,779,799,800,887,891,1137],[1,2,3,4,8,9,10,11,12,13,14,15,16,
17,18,39,40,43,44,45,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,71,72,
73,74,75,76,77,78,79,80,81,82,83,84,86,129,131,132,134,135,137,138,141,142,
144,145,150,151,157,158,163,164,165,167,168,169,170,171,173,175,176,177,178,
179,180,181,182,183,184,185,186,187,188,191,192,193,194,197,198,202,203,205,
208,209,210,248,249,250,251,252,375,377,378,379,384,385,386,387,390,391,400,
401,402,403,404,405,406,407,408,409,412,414,417,418,419,423,427,428,429,430,
488,489,490,491,492,493,494,495,496,497,498,499,538,539,540,541,542,543,544,
545,546,740,741,742,762,763,765,766,767,769,780,781,797,798,799,800,888,889,
890,1138],[1,2,3,4,8,9,10,11,12,13,14,15,16,39,40,45,47,55,56,57,58,59,60,61,
62,72,75,79,80,81,134,135,141,142,145,146,147,157,158,168,169,170,171,175,176,
177,181,184,188,248,251,252,373,377,400,405,408,410,413,427,499,546,555,778,
796,859,896,1139],[1,2,3,4,8,9,12,13,14,15,16,18,40,45,47,52,53,54,55,56,58,
60,61,66,67,71,72,75,76,79,82,84,86,132,134,141,142,157,158,168,169,170,177,
179,180,181,184,185,186,187,197,198,231,233,234,235,240,241,249,250,251,252,
377,386,396,398,401,405,414,417,428,443,447,476,482,489,492,539,541,750,752,
765,771,772,773,776,1140],[1,2,3,4,8,9,12,13,14,15,16,18,40,45,47,52,53,54,55,
56,58,60,61,65,66,67,71,72,75,76,79,82,84,86,132,134,141,142,157,158,168,169,
170,177,179,180,181,184,185,186,187,197,198,230,231,232,233,236,239,242,249,
250,251,252,377,386,396,397,398,401,405,414,417,428,444,448,477,481,489,492,
539,541,749,751,765,770,772,774,775,1141],[1,2,3,4,8,9,12,13,14,15,16,18,40,
45,47,52,53,54,55,56,58,60,61,65,66,67,72,73,74,75,76,83,84,132,134,141,142,
157,158,169,170,177,178,179,181,182,187,191,192,231,232,233,239,240,241,242,
248,250,251,377,385,396,397,398,401,419,427,447,448,481,482,490,543,751,752,
762,773,774,775,776,1142],[1,2,3,9,12,13,14,39,40,45,56,58,67,68,69,79,134,
147,168,184,213,229,233,234,244,252,359,398,405,437,459,474,480,771,878,892,
1143],[1,2,3,9,12,13,14,39,40,45,56,58,65,67,68,69,79,134,147,168,184,213,229,
232,234,244,252,359,397,405,437,459,474,480,770,878,892,1144],[1,2,3,4,9,12,
13,15,16,17,39,40,47,49,56,58,60,67,68,69,72,74,75,135,153,157,168,177,190,
193,216,229,233,234,244,251,365,399,400,440,454,474,476,777,875,894,1145],[1,
2,3,4,8,9,12,13,14,15,16,18,37,38,45,47,52,53,54,55,56,58,60,61,65,66,67,71,
72,73,74,76,132,133,141,142,154,155,156,169,170,178,179,180,191,192,217,218,
230,231,232,233,234,235,236,239,240,241,242,248,258,259,376,385,427,433,434,
435,443,444,447,448,453,455,478,479,505,506,507,508,530,548,565,737,743,825,
861,868,872,884,1146],[1,2,3,4,9,10,11,13,15,18,39,40,41,42,53,56,57,65,66,70,
74,76,87,88,134,135,136,171,176,191,207,214,215,219,220,222,225,236,246,394,
408,415,469,473,531,532,537,566,729,898,900,910,923,1147],[1,2,3,4,8,9,10,11,
12,13,15,18,37,38,41,42,43,44,53,55,57,58,67,68,69,70,73,76,85,87,88,89,133,
136,137,138,170,173,175,192,196,207,217,218,221,222,223,224,225,226,235,244,
246,393,395,409,424,471,472,475,530,533,536,537,565,567,730,899,901,909,911,
921,922,1148],[1,2,3,4,8,9,10,11,12,13,14,15,16,17,37,38,40,45,47,49,55,56,57,
58,59,60,61,62,63,64,65,66,67,71,72,73,74,75,133,134,139,140,141,142,143,144,
145,148,149,152,153,154,155,156,157,158,168,169,170,171,175,177,178,180,181,
189,190,193,194,230,231,232,233,234,235,236,239,240,241,242,248,249,356,357,
358,364,366,367,376,377,380,381,395,410,412,427,428,433,434,435,443,444,447,
448,449,450,451,452,453,454,455,456,457,458,496,498,728,737,782,817,818,820,
821,868,869,870,871,1149],[1,2,3,4,8,9,10,11,12,13,14,15,16,37,38,39,45,47,55,
56,57,58,59,60,61,62,63,64,65,66,67,71,72,73,74,79,133,135,141,142,144,145,
146,147,154,155,156,168,169,170,171,175,178,180,184,211,212,214,215,227,228,
230,231,232,233,234,235,236,248,249,253,254,373,376,395,410,412,427,428,436,
438,439,443,444,453,455,459,462,496,498,500,501,512,555,558,559,782,796,814,
819,853,868,884,1150],[1,2,3,9,10,11,13,39,40,56,57,67,70,79,134,135,147,171,
176,213,229,233,234,246,355,398,399,408,437,462,473,744,761,898,1151],[1,2,3,
9,10,11,13,39,40,56,57,66,67,70,79,134,135,147,171,176,213,229,231,234,246,
355,396,399,408,437,462,473,745,761,898,1152],[1,2,3,4,8,9,10,11,13,15,38,39,
40,56,57,61,66,67,70,71,74,134,135,140,149,155,171,176,214,228,231,234,246,
356,396,399,408,438,456,473,747,758,898,1153],[1,2,3,4,9,10,11,13,15,37,39,40,
56,57,60,65,67,70,72,74,75,134,135,139,153,154,157,171,176,215,227,232,234,
246,357,397,399,408,439,457,473,747,759,898,1154],[1,2,3,4,9,12,13,14,15,18,
37,39,40,45,53,56,58,60,65,66,67,72,74,75,76,79,85,89,134,139,147,150,153,154,
157,168,184,191,196,198,212,213,214,218,219,220,227,229,231,234,236,239,240,
252,253,254,258,357,359,361,396,405,416,432,434,437,442,450,459,470,479,480,
501,507,511,519,531,534,549,556,559,561,784,804,811,832,856,878,908,914,924,
1155],[1,2,3,4,8,9,12,13,14,15,18,38,39,40,45,53,56,58,61,65,66,67,71,74,76,
79,85,89,134,140,147,149,151,155,168,184,191,196,197,211,213,215,217,219,220,
228,229,232,234,236,241,242,252,253,254,259,356,359,360,397,405,416,431,433,
437,441,449,459,470,478,480,500,508,510,520,531,535,549,557,558,562,785,803,
810,833,856,878,907,915,925,1156],[1,2,3,4,8,9,12,13,15,16,17,18,37,38,39,47,
49,53,56,58,60,61,65,66,67,71,72,73,74,75,76,79,85,89,135,147,148,150,151,152,
154,155,168,177,189,190,191,194,196,197,198,211,212,214,215,216,217,218,227,
228,231,232,234,236,239,240,241,242,251,253,254,255,256,257,258,259,355,360,
361,366,399,400,416,431,432,433,434,438,439,449,450,459,470,477,478,479,507,
508,510,511,513,514,515,518,521,532,547,551,552,556,557,558,559,563,564,787,
805,806,808,809,832,833,855,874,907,908,912,913,926,927,1157],[1,2,3,4,8,9,13,
14,15,16,18,37,38,39,45,47,52,53,54,55,56,60,61,65,66,67,71,72,73,74,76,79,
132,133,135,141,142,146,147,154,155,156,178,179,180,184,191,192,211,212,214,
215,217,218,227,228,230,231,232,233,234,235,236,239,240,241,242,253,254,258,
259,373,376,385,399,433,434,435,436,438,439,443,444,447,448,478,479,480,500,
501,505,506,507,508,510,511,512,530,532,548,549,556,557,558,559,737,748,814,
825,860,861,897,914,915,926,927,1158],[1,2,3,4,8,9,13,14,15,16,18,39,40,45,47,
52,53,54,55,56,60,61,65,66,67,72,73,74,75,76,79,132,134,135,141,142,146,147,
157,158,177,178,179,181,184,191,192,213,214,215,216,219,220,229,230,231,232,
233,234,235,236,253,254,255,256,257,373,377,385,396,397,431,432,437,440,443,
444,477,478,479,502,503,504,509,510,511,512,513,531,532,547,549,556,557,560,
736,749,813,825,860,862,897,912,913,924,925,1159],[1,2,3,4,9,12,13,14,15,18,
40,45,53,56,58,65,66,74,76,79,85,89,134,168,184,191,196,219,220,232,236,248,
252,253,254,397,405,416,470,531,549,555,770,856,859,1160],[1,2,3,4,9,12,13,14,
15,18,40,45,53,56,58,65,66,67,74,76,79,85,89,134,168,184,191,196,219,220,233,
236,248,252,253,254,398,405,416,470,531,549,555,771,856,859,1161],[1,2,3,4,8,
9,12,13,14,15,16,17,37,38,39,40,45,46,47,48,49,51,55,56,58,60,61,65,66,67,71,
72,73,74,75,79,82,86,128,129,131,133,134,135,141,142,146,147,154,155,156,157,
158,169,170,177,178,180,181,184,185,186,193,194,211,212,213,214,215,216,227,
228,229,230,231,232,233,234,235,236,248,250,252,253,254,255,363,364,373,376,
377,383,384,404,417,427,436,437,438,439,440,443,444,451,452,453,455,481,482,
487,488,500,501,502,512,513,541,558,559,560,735,764,813,814,827,834,835,868,
869,876,877,1162],[1,2,3,4,8,9,12,13,14,15,16,17,37,38,39,40,45,47,48,49,50,
51,55,56,58,60,61,65,66,67,71,72,73,74,75,76,83,84,86,129,130,131,135,139,140,
142,143,148,149,150,151,152,153,154,155,156,157,158,168,169,170,177,178,179,
180,181,182,186,187,189,190,193,194,214,215,216,217,218,219,220,227,228,229,
231,232,233,239,240,241,242,249,250,251,252,256,257,258,259,363,364,365,366,
367,375,380,381,384,389,400,404,414,419,428,438,439,440,441,442,447,448,449,
450,451,452,453,454,455,476,477,481,482,491,493,503,504,505,506,514,515,539,
543,561,562,563,564,734,763,815,816,826,838,839,840,841,870,871,874,875,876,
877,1163],[1,2,3,4,9,10,11,13,15,18,39,40,53,56,57,65,66,67,74,76,87,88,134,
135,171,176,191,207,214,215,219,220,233,234,236,398,399,408,415,469,531,532,
744,747,900,1164],[1,2,3,4,9,10,11,13,15,18,39,40,53,56,57,65,66,67,74,76,87,
88,134,135,171,176,191,207,214,215,219,220,231,234,236,396,399,408,415,469,
531,532,745,747,900,1165],[1,2,3,4,9,12,13,14,15,16,18,40,44,45,47,48,53,56,
58,65,66,68,69,74,76,79,83,85,86,89,129,134,138,168,169,179,182,184,186,191,
196,219,220,221,223,236,244,248,249,250,251,252,253,254,261,264,401,402,405,
407,416,470,474,488,491,531,533,549,553,741,856,858,892,895,1166],[1,2,3,4,9,
12,13,14,15,16,18,39,43,44,45,47,52,53,54,56,58,65,66,68,69,72,74,75,76,82,83,
84,85,86,89,132,135,137,138,168,169,177,181,182,185,186,187,191,196,214,215,
221,223,224,226,236,244,248,249,250,251,252,256,257,260,261,263,264,400,402,
403,404,406,407,416,470,474,489,490,492,532,533,536,547,550,553,742,855,857,
858,893,894,895,1167],[1,2,3,4,9,12,13,14,15,18,40,43,45,46,53,56,58,65,66,68,
69,74,76,79,82,85,89,128,134,137,168,184,185,191,196,219,220,224,226,236,244,
248,252,253,254,260,263,405,406,416,470,474,487,531,536,549,550,739,856,857,
892,893,1168],[1,2,3,4,9,12,13,14,15,16,39,40,44,45,47,48,56,58,67,76,79,83,
86,129,134,138,147,168,169,179,182,184,186,213,229,234,248,249,250,251,252,
359,401,402,405,407,437,459,480,488,491,555,741,802,859,878,917,1169],[1,2,3,
9,12,13,14,39,40,43,45,46,56,58,67,79,82,128,134,137,147,168,184,185,213,229,
234,248,252,359,405,406,437,459,480,487,555,739,801,859,878,916,1170],[1,2,3,
4,8,9,10,11,12,13,14,15,16,41,42,45,47,55,56,57,58,59,60,61,62,63,64,65,66,70,
77,78,80,81,136,141,142,144,145,161,162,166,168,169,171,173,175,176,183,188,
230,231,232,236,245,246,247,250,251,252,382,393,394,410,412,429,430,444,445,
469,470,471,473,494,495,497,499,783,792,794,903,923,1171],[1,2,3,4,8,9,10,11,
12,13,14,15,16,37,38,45,47,55,56,57,58,59,60,61,62,63,64,68,69,70,71,72,73,74,
133,141,142,144,145,154,155,156,168,169,170,171,175,178,180,237,238,243,244,
245,246,247,248,249,376,395,410,412,427,428,445,446,471,472,473,474,496,498,
782,794,795,904,921,1172],[1,2,3,4,8,9,10,11,12,13,14,15,16,41,42,45,47,55,56,
57,58,59,60,61,62,63,64,67,68,69,77,78,80,81,136,141,142,144,145,161,162,166,
168,169,171,173,175,176,183,188,233,234,235,237,238,243,244,250,251,252,382,
393,394,410,412,429,430,443,446,472,474,475,494,495,497,499,783,793,795,902,
922,1173],[1,2,3,4,8,9,10,11,12,13,14,15,16,37,38,39,45,47,55,56,57,58,59,60,
61,62,65,66,67,71,72,73,74,79,133,135,141,142,145,146,147,154,155,156,168,171,
175,178,180,184,211,212,214,215,227,228,230,231,232,233,234,235,236,239,240,
241,242,253,254,373,376,410,431,432,433,434,435,436,438,439,443,444,447,448,
449,450,456,457,459,462,469,470,500,501,512,556,557,558,559,736,737,792,814,
818,819,897,905,906,907,908,1174],[1,2,3,4,9,10,11,13,15,18,37,39,40,53,56,57,
60,65,66,67,72,74,75,76,79,87,88,134,135,139,147,150,153,154,157,171,176,191,
198,207,212,213,214,215,218,219,220,227,229,232,234,236,239,240,254,258,355,
357,361,397,399,408,415,431,434,437,439,442,457,462,469,478,507,510,519,531,
532,534,557,559,561,759,761,809,811,842,900,905,925,926,1175],[1,2,3,4,8,9,10,
11,13,15,18,38,39,40,53,56,57,61,65,66,67,71,74,76,79,87,88,134,135,140,147,
149,151,155,171,176,191,197,207,211,213,214,215,217,219,220,228,229,231,234,
236,241,242,253,259,355,356,360,396,399,408,415,432,433,437,438,441,456,462,
469,479,508,511,520,531,532,535,556,558,562,758,761,808,810,843,900,906,924,
927,1176],[1,2,3,4,8,9,12,13,14,15,16,18,39,40,45,47,52,53,54,55,56,58,60,61,
65,66,67,72,73,74,75,76,79,83,84,132,134,135,141,142,146,147,157,158,169,170,
177,178,179,181,182,184,187,191,192,213,214,215,216,229,230,231,232,233,234,
235,236,248,250,251,253,254,255,373,377,385,401,419,427,437,440,443,444,451,
452,490,502,510,511,512,513,532,543,549,555,560,565,762,796,813,860,869,872,
884,1177],[1,2,3,4,8,9,10,11,12,13,14,15,16,18,40,45,47,52,53,54,55,56,57,58,
59,60,61,62,65,66,67,72,73,74,75,76,83,84,85,87,88,89,132,134,141,142,145,157,
158,168,169,170,171,175,177,178,179,181,182,187,191,192,195,196,199,200,206,
207,219,220,230,231,232,233,234,235,236,248,250,251,256,257,377,385,392,401,
410,415,416,419,424,427,443,444,454,458,478,479,490,503,504,509,531,543,547,
565,754,762,817,825,853,862,872,1178],[1,2,3,4,8,9,10,11,12,13,14,15,16,18,39,
45,46,47,48,52,53,54,55,56,57,58,59,62,65,66,67,71,72,73,74,76,77,78,79,80,81,
82,84,86,128,129,132,135,141,145,146,147,168,169,170,171,175,178,179,180,181,
183,184,185,186,187,188,191,192,201,202,204,205,214,215,230,231,232,233,234,
235,236,248,250,252,253,254,373,383,385,387,388,404,410,414,417,418,423,427,
443,444,459,462,481,482,487,488,510,511,512,532,541,549,565,753,764,819,827,
853,860,872,1179],[1,2,3,4,9,10,11,12,13,14,15,16,18,44,45,46,47,52,53,54,56,
57,58,59,62,68,69,70,72,79,80,81,82,85,86,87,88,89,128,132,138,145,159,160,
169,172,173,174,176,181,184,185,186,188,195,196,199,200,201,204,206,207,221,
223,237,238,243,244,245,246,247,248,249,251,252,260,263,374,388,392,407,411,
417,421,426,429,445,446,466,467,483,485,487,489,516,517,529,533,545,546,550,
566,567,755,768,823,829,854,867,873,1180],[1,2,3,4,9,10,11,12,13,14,15,16,18,
43,45,47,48,52,53,54,56,57,58,59,62,63,64,68,69,70,75,76,77,78,83,84,85,86,87,
88,89,129,132,137,144,145,163,167,169,172,173,174,176,177,179,182,183,186,187,
195,196,199,200,202,205,206,207,224,226,237,238,243,244,245,246,247,249,250,
251,252,261,264,379,387,392,403,411,419,422,425,429,445,446,465,468,484,486,
491,492,526,527,528,536,538,540,553,566,567,756,766,822,828,854,866,873,
1181],[1,2,3,4,8,9,10,11,12,13,14,15,16,18,37,38,39,45,47,52,53,54,55,56,57,
58,59,60,61,62,65,66,67,71,72,73,74,76,79,85,87,88,89,132,133,135,141,142,145,
146,147,150,151,154,155,156,168,171,175,178,179,180,184,191,192,195,196,197,
198,199,200,206,207,214,215,217,218,230,231,232,233,234,235,236,253,254,258,
259,360,361,362,373,375,376,385,386,392,410,415,416,424,443,444,449,450,456,
457,459,462,478,479,505,506,507,508,510,511,512,530,532,548,549,731,754,818,
819,825,832,833,842,843,860,861,1182],[1,2,3,4,8,9,10,11,12,13,14,15,16,17,18,
37,38,40,45,47,48,49,50,51,52,53,54,55,56,57,58,60,61,63,64,65,66,67,71,72,73,
74,75,76,77,78,79,80,81,82,83,84,86,129,130,131,132,139,140,142,143,144,148,
149,152,153,154,155,156,157,158,169,171,175,177,178,179,180,181,182,183,184,
185,186,187,188,189,190,193,194,197,198,203,208,209,210,211,212,213,217,218,
219,220,231,232,233,239,240,241,242,253,254,255,256,257,258,259,363,364,365,
366,367,380,381,384,386,389,390,391,412,413,417,418,419,420,423,447,448,451,
452,453,455,456,457,458,476,477,481,482,500,501,502,503,504,505,506,518,519,
520,521,534,535,551,552,734,757,820,821,826,830,831,834,835,836,837,840,841,
863,864,1183],[1,2,3,4,8,9,10,11,12,13,14,15,16,17,18,37,38,40,45,46,47,48,49,
51,52,53,54,55,56,57,58,59,60,61,62,65,66,67,71,72,73,74,75,76,77,78,80,81,84,
86,128,129,131,132,133,134,141,142,145,154,155,156,157,158,168,171,175,177,
178,179,180,181,183,186,187,188,191,192,193,194,201,202,204,205,217,218,219,
220,230,231,232,233,234,235,236,256,257,258,259,363,364,376,377,383,384,385,
387,388,410,414,418,423,443,444,449,450,454,456,457,458,481,482,503,504,505,
506,507,508,509,530,531,547,548,735,753,817,818,827,836,837,838,839,861,862,
1184],[1,2,3,4,10,11,12,13,14,15,16,17,18,41,42,43,45,46,47,49,51,52,53,54,57,
58,59,62,63,64,68,69,70,77,78,80,81,83,85,86,87,88,89,128,131,132,136,137,144,
145,161,162,163,166,167,172,174,182,183,186,188,195,196,199,200,201,203,204,
206,207,208,222,224,225,226,237,238,243,244,245,246,247,261,262,264,265,369,
372,379,382,388,390,392,411,421,426,445,446,460,461,463,464,465,468,483,485,
522,523,524,525,526,527,528,536,537,553,554,733,755,822,824,829,849,850,851,
852,865,866,1185],[1,2,3,4,10,11,12,13,14,15,16,18,41,42,44,45,47,48,52,53,54,
57,58,59,62,63,64,68,69,70,77,78,80,81,82,84,85,87,88,89,129,132,136,138,144,
145,159,160,161,162,164,165,166,172,174,183,185,187,188,195,196,199,200,202,
205,206,207,209,210,221,222,223,225,237,238,243,244,245,246,247,260,262,263,
265,368,370,371,374,378,382,387,391,392,411,422,425,445,446,460,461,463,464,
466,467,484,486,516,517,522,523,524,525,529,533,537,550,554,732,756,823,824,
828,845,846,847,848,865,867,1186],[1,2,3,4,9,10,11,12,13,15,16,18,39,40,47,53,
56,57,58,63,64,65,66,70,74,75,76,77,78,87,88,134,135,144,168,169,171,173,176,
177,179,183,191,207,214,215,219,220,236,246,250,251,262,265,400,401,408,415,
430,469,473,494,531,532,538,554,567,797,898,900,903,920,1187],[1,2,3,4,8,9,10,
11,12,13,15,16,18,43,44,47,53,55,56,57,58,60,61,63,64,67,68,69,70,73,74,76,77,
78,83,84,85,87,88,89,137,138,142,144,168,169,170,173,175,176,178,182,183,187,
192,196,207,221,223,224,226,235,244,246,249,250,251,258,259,262,265,402,403,
409,424,428,430,471,472,475,495,496,533,536,540,543,548,554,565,566,798,899,
901,902,904,918,919,1188],[1,2,3,4,8,9,10,11,12,13,14,15,16,37,38,45,47,55,56,
57,58,59,60,61,62,65,66,67,71,72,73,74,133,141,142,145,154,155,156,168,169,
170,171,175,178,180,230,231,232,233,234,235,236,239,240,241,242,248,376,410,
427,433,434,435,443,444,447,448,449,450,453,455,456,457,475,556,557,737,793,
818,853,868,884,897,1189],[1,2,3,4,8,9,12,13,14,15,16,39,45,46,47,48,55,56,58,
67,71,72,79,82,86,128,129,135,141,146,147,169,170,180,181,184,185,186,233,234,
235,248,250,252,373,383,399,404,417,427,443,480,487,488,541,555,748,764,796,
916,917,1190],[1,2,3,4,9,12,13,14,15,37,40,45,56,58,60,66,68,69,72,74,75,79,
134,139,153,154,157,168,184,212,231,244,248,252,253,357,396,405,450,474,501,
555,784,859,892,1191],[1,2,3,4,8,9,12,13,14,15,38,40,45,56,58,61,65,68,69,71,
74,79,134,140,149,155,168,184,211,232,244,248,252,254,356,397,405,449,474,500,
555,785,859,892,1192],[1,2,3,4,8,9,10,11,12,13,14,15,16,39,40,45,47,55,56,57,
58,59,60,61,62,67,72,75,79,134,135,141,142,145,146,147,157,158,168,171,175,
177,181,184,213,216,229,233,234,235,255,373,377,398,399,410,437,440,443,454,
458,459,462,475,476,480,502,513,560,743,748,750,793,813,817,819,1193],[1,2,3,
4,8,9,10,11,12,13,14,15,16,40,45,47,55,56,57,58,59,60,61,62,65,66,67,72,75,
134,141,142,145,157,158,168,169,170,171,175,177,181,230,231,232,233,234,235,
236,248,377,396,397,410,427,443,444,451,452,454,458,469,470,477,556,557,749,
792,817,853,869,884,897,1194],[1,2,3,4,8,9,12,13,14,15,16,18,40,45,47,52,53,
54,55,56,58,60,61,65,66,67,72,73,74,75,76,132,134,141,142,157,158,169,170,177,
178,179,181,191,192,219,220,230,231,232,233,234,235,236,248,256,257,377,385,
398,427,443,444,451,452,476,478,479,503,504,509,531,547,556,557,565,750,825,
862,869,872,884,897,1195],[1,2,3,4,9,10,11,12,13,14,15,16,18,41,42,45,47,53,
56,57,58,59,62,63,64,65,66,70,72,74,75,76,77,78,79,80,81,87,88,136,144,145,
161,162,166,171,173,176,177,179,181,183,184,188,191,207,222,225,236,246,250,
251,252,253,254,256,257,262,265,382,394,413,415,418,469,473,494,497,537,538,
542,546,547,549,554,566,567,879,883,885,903,910,920,923,1196],[1,2,3,4,8,9,10,
11,12,13,14,15,16,18,41,42,45,47,53,55,57,58,59,62,63,64,67,68,69,70,71,72,73,
74,76,77,78,80,81,82,83,84,85,86,87,88,89,136,144,145,161,162,166,170,173,175,
178,180,182,183,185,186,187,188,192,196,207,222,225,235,244,246,248,249,258,
259,260,261,263,264,382,393,420,423,424,471,472,475,496,498,537,540,544,545,
548,550,553,565,567,880,882,886,904,909,919,922,1197],[1,2,3,4,8,9,10,11,12,
13,14,15,16,18,37,38,45,47,53,55,56,57,58,60,61,67,68,69,70,71,72,73,74,76,77,
78,80,81,82,83,84,85,86,87,88,89,133,141,142,154,155,156,170,175,176,178,180,
182,183,185,186,187,188,192,196,207,217,218,235,244,246,250,251,252,260,261,
262,263,264,265,376,395,420,423,424,471,472,475,495,499,530,539,541,543,550,
553,554,565,566,880,881,886,902,911,918,921,1198],[1,2,3,4,8,9,10,11,13,14,15,
16,17,18,37,38,39,45,47,49,53,56,57,60,61,65,66,67,71,72,73,74,75,76,79,80,81,
87,88,147,148,150,151,152,154,155,171,177,184,188,189,190,191,194,197,198,207,
211,212,214,215,216,217,218,227,228,231,232,234,236,239,240,241,242,253,254,
255,256,257,258,259,359,360,361,366,413,415,431,432,433,434,456,457,462,469,
477,478,479,480,500,501,507,508,510,511,513,514,515,518,521,547,549,551,552,
556,557,558,559,563,564,803,804,805,806,830,842,843,844,879,905,906,912,913,
914,915,1199],[1,2,3,4,9,10,11,12,13,14,15,16,18,39,45,46,47,48,52,53,54,56,
57,58,59,62,63,64,67,75,79,80,81,82,84,86,128,129,132,144,145,147,171,173,177,
184,185,186,187,188,201,204,209,210,216,234,248,249,250,252,255,359,388,391,
413,462,480,487,488,492,497,513,544,545,555,801,802,844,887,896,916,917,
1200],[1,2,3,4,9,10,11,12,13,14,15,16,17,40,45,47,49,56,57,58,60,67,70,72,74,
75,79,80,81,153,157,171,177,184,188,190,193,213,233,246,248,255,365,413,458,
473,476,502,555,831,885,896,1201],[1,2,3,5,7,8,9,13,20,22,26,30,38,65,79,90,
96,97,98,99,106,120,211,266,278,304,311,568,569,574,928,930,932,1202],[1,2,3,
5,7,9,13,20,22,26,30,40,67,79,90,97,98,100,106,120,213,266,278,304,312,568,
570,574,929,931,932,1203],[1,2,4,5,7,8,9,15,20,22,27,33,38,67,76,90,96,97,98,
99,107,121,217,266,283,305,311,568,569,576,928,931,933,1204],[1,2,4,5,7,9,15,
20,22,27,33,40,65,76,90,97,98,100,107,121,219,266,283,305,312,568,570,576,929,
930,933,1205],[1,2,4,5,6,7,8,9,15,20,21,22,29,37,61,75,91,96,100,101,105,148,
267,293,295,306,318,341,571,610,652,934,1206],[1,2,4,5,7,8,9,15,20,22,29,39,
61,76,90,96,99,100,105,151,266,292,297,307,315,341,569,604,650,935,1207],[1,2,
4,5,7,9,15,20,22,28,39,60,76,90,97,100,104,150,266,292,297,307,317,342,570,
605,651,935,1208],[1,2,3,5,7,8,9,13,20,22,24,39,55,79,90,99,100,101,118,146,
266,292,297,307,329,331,585,602,608,656,935,1209],[1,2,4,5,6,7,9,15,20,21,22,
27,28,37,40,60,91,97,100,104,121,139,267,282,293,295,306,312,342,577,627,657,
934,1210],[1,2,3,5,6,7,8,9,13,20,21,22,23,24,25,26,37,38,55,91,99,100,118,119,
120,133,267,269,293,295,306,308,329,586,620,622,654,934,1211],[1,2,3,5,6,7,10,
11,13,20,21,22,23,24,25,26,41,42,57,91,102,103,118,119,120,136,267,269,294,
299,300,309,310,330,586,619,624,626,655,936,1212],[1,2,5,6,7,9,20,21,22,37,39,
65,91,98,100,227,267,293,295,306,307,314,572,616,701,934,1213],[1,2,5,7,9,20,
22,37,39,65,90,97,100,227,266,292,297,306,307,314,570,613,701,935,1214],[1,2,
5,7,8,9,20,22,38,39,66,90,96,99,100,228,266,292,297,307,308,313,569,614,700,
935,1215],[1,2,5,7,9,20,22,39,40,67,90,97,98,100,229,266,292,297,307,312,334,
568,615,618,675,935,1216],[1,2,4,5,6,7,9,15,20,21,22,28,31,32,33,37,67,76,91,
100,104,107,108,218,267,276,293,295,306,317,334,579,636,642,688,934,1217],[1,
2,4,5,6,7,9,15,20,21,22,29,31,32,34,35,37,67,76,91,100,105,108,110,218,267,
271,273,293,295,306,315,333,581,638,642,687,934,1218],[1,2,4,5,7,9,15,20,22,
29,34,35,39,67,75,90,100,105,110,216,266,270,272,292,297,307,318,333,580,632,
639,685,935,1219],[1,3,4,5,6,7,11,18,23,24,25,26,28,29,31,32,33,35,41,70,88,
91,102,111,112,114,116,225,269,271,276,294,299,300,309,321,336,583,644,646,
647,690,936,1220],[1,3,4,5,6,7,11,18,23,24,25,26,28,29,31,32,33,34,41,70,88,
91,102,109,114,116,117,225,269,273,276,294,299,300,309,320,335,584,645,646,
647,689,936,1221],[1,2,3,5,6,7,9,13,20,21,22,24,30,37,66,79,91,100,106,118,
212,267,277,293,295,306,313,331,573,633,702,934,1222],[1,2,4,5,7,8,9,15,20,22,
29,34,35,38,40,61,90,96,97,98,99,100,101,105,110,140,266,270,272,308,311,312,
341,343,344,568,569,570,580,585,658,928,929,939,943,945,1223],[1,2,3,4,5,7,8,
9,13,15,18,20,22,26,27,29,30,33,34,35,53,61,71,76,79,90,97,98,99,101,105,106,
107,110,112,113,115,117,120,121,197,266,270,272,278,283,304,305,319,332,343,
344,346,347,568,574,576,580,585,591,593,666,932,933,939,940,949,1224],[1,2,4,
5,7,8,9,15,20,22,29,34,35,61,65,67,90,97,98,99,101,105,110,242,266,270,272,
343,344,568,580,585,930,931,939,1225],[1,2,3,4,5,6,7,8,9,13,15,18,20,21,22,23,
24,25,26,27,28,29,30,31,32,33,34,35,53,61,71,76,79,91,96,98,100,101,104,105,
106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,197,267,269,
271,273,276,277,282,302,304,305,317,319,331,332,341,344,345,346,347,348,571,
572,573,577,579,581,583,584,586,590,592,664,666,937,938,941,944,946,947,948,
1226],[1,2,3,9,13,19,39,56,79,94,135,147,355,1227],[1,3,5,6,7,23,24,25,26,30,
90,91,92,93,269,277,278,279,280,349,350,351,710,715,951,1228],[1,3,5,6,7,23,
24,25,26,30,90,91,92,93,269,277,278,279,280,349,350,351,709,715,951,1229],[1,
2,5,6,7,20,21,22,90,91,92,93,266,267,268,287,349,350,351,711,712,713,951,
1230],[1,4,5,6,7,27,29,31,34,90,91,92,93,272,273,275,281,349,350,351,708,716,
951,1231],[1,4,5,6,7,27,29,32,35,90,91,92,93,270,271,274,284,349,350,351,707,
717,951,1232],[1,4,5,6,7,27,28,31,32,33,35,90,91,92,93,274,276,281,282,283,
284,285,349,350,351,714,717,719,951,1233],[1,4,5,6,7,27,28,31,32,33,34,90,91,
92,93,275,276,281,282,283,284,286,349,350,351,714,716,718,951,1234],[1,3,7,12,
14,30,36,82,122,291,339,1235],[1,3,7,14,26,36,46,122,291,324,721,1236],[1,4,7,
17,27,36,50,123,291,327,720,1237],[1,2,3,5,9,10,11,13,20,24,39,40,41,42,56,57,
118,134,135,136,171,176,292,299,394,408,621,624,729,1238],[1,2,3,6,8,9,10,11,
12,13,21,23,25,37,38,41,42,43,44,55,57,58,119,133,136,137,138,170,173,175,293,
294,298,393,395,409,619,620,625,730,1239],[1,2,3,7,9,10,11,13,22,26,39,40,41,
42,56,57,120,134,135,136,171,176,296,300,394,408,623,626,729,1240],[1,2,3,7,8,
9,10,11,12,13,22,26,37,38,41,42,43,44,55,57,58,120,133,136,137,138,170,173,
175,295,300,301,393,395,409,622,626,629,730,1241],[1,2,3,7,9,12,13,14,22,30,
39,45,46,56,58,79,82,106,122,128,147,184,185,248,252,297,323,339,359,487,555,
671,801,960,1242],[1,2,3,4,7,9,12,13,14,15,16,22,33,39,45,47,48,56,58,79,86,
107,122,129,147,184,186,248,250,297,323,340,359,488,555,670,802,960,1243],[1,
2,3,7,8,9,13,14,22,39,45,55,56,79,101,122,135,141,146,147,184,297,323,355,359,
373,608,698,726,960,1244],[1,2,3,4,7,8,9,13,14,15,16,17,22,37,40,45,47,49,55,
56,60,61,72,74,75,101,122,123,134,139,141,142,143,148,149,153,154,157,158,177,
181,190,193,295,296,323,325,357,363,365,377,380,609,610,698,699,727,961,
1245],[1,2,3,5,8,9,13,14,20,24,39,45,55,56,79,99,100,118,135,141,146,147,184,
292,307,329,331,355,359,373,602,603,621,656,726,953,995,1009,1246],[1,2,3,4,5,
9,13,14,15,18,20,28,37,39,45,53,56,60,65,66,72,74,76,79,97,100,104,147,150,
154,184,191,198,212,214,227,231,236,253,254,292,307,317,342,359,361,432,501,
511,549,559,603,613,631,651,804,953,982,1000,1247],[1,2,3,4,5,8,9,13,14,15,18,
20,29,38,39,45,53,56,61,65,66,71,74,76,79,96,100,105,147,151,155,184,191,197,
211,215,228,232,236,253,254,292,307,315,341,359,360,431,500,510,549,558,603,
614,630,650,803,953,981,1001,1248],[1,2,3,4,5,8,9,13,15,16,17,18,20,28,29,37,
38,39,47,49,53,56,60,61,65,66,67,71,72,73,74,75,76,79,97,99,100,104,105,147,
148,151,152,154,155,177,189,190,191,194,197,212,214,216,218,227,234,236,241,
242,254,255,256,257,258,292,308,316,318,342,343,360,366,433,507,513,515,521,
547,551,559,564,603,604,613,631,632,653,806,954,982,986,999,1002,1249],[1,2,3,
4,5,8,9,13,15,16,17,18,20,29,37,38,39,47,49,53,56,60,61,65,66,67,71,72,73,74,
75,76,79,96,100,105,147,148,150,152,154,155,177,189,190,191,194,198,211,215,
216,217,228,234,236,239,240,253,255,256,257,259,292,306,318,341,361,366,434,
508,513,514,518,547,552,558,563,603,605,614,630,632,652,805,955,981,984,999,
1003,1250],[1,2,3,4,5,8,9,13,15,16,17,18,20,28,29,38,39,40,47,49,53,55,60,61,
65,66,67,71,72,73,74,75,76,79,97,99,100,104,105,146,149,150,151,152,153,156,
158,178,189,190,192,193,194,197,198,213,214,215,216,219,220,229,230,235,239,
240,241,242,253,254,255,256,257,258,259,292,308,316,318,342,343,362,367,435,
509,512,514,515,519,520,548,551,552,560,561,562,602,604,605,615,630,631,632,
653,807,956,983,985,987,998,1002,1003,1251],[1,2,3,5,8,9,10,11,12,13,20,24,37,
38,41,42,43,44,55,57,58,99,100,118,133,136,137,138,170,173,175,299,306,308,
329,393,395,409,624,654,730,1028,1252],[1,2,3,6,8,9,10,11,12,13,21,23,25,37,
38,41,42,43,44,55,57,58,102,103,119,133,136,137,138,170,173,175,293,309,310,
330,393,395,409,620,655,730,1030,1253],[1,2,3,6,9,10,11,13,21,23,25,39,40,41,
42,56,57,102,103,119,134,135,136,171,176,294,309,310,330,394,408,619,655,729,
1029,1254],[1,2,3,4,5,8,9,13,15,18,20,29,38,39,40,53,56,61,65,66,67,71,74,76,
79,96,97,99,100,105,134,140,147,149,151,155,191,197,211,213,215,217,219,220,
228,229,234,236,241,242,253,259,292,308,311,312,341,343,356,360,433,437,441,
508,520,531,535,558,562,603,604,614,615,630,658,810,954,964,966,981,985,
1255],[1,2,3,4,5,9,13,15,18,20,28,37,39,40,53,56,60,65,66,67,72,74,75,76,79,
97,100,104,134,139,147,150,153,154,157,191,198,212,213,214,218,219,220,227,
229,234,236,239,240,254,258,292,306,312,342,357,361,434,437,442,507,519,531,
534,559,561,603,605,613,615,631,657,811,955,964,965,982,987,1256],[1,2,3,4,5,
8,9,13,15,18,20,29,37,38,39,40,53,55,60,61,65,66,67,71,72,73,75,76,79,96,97,
99,100,105,133,139,140,146,148,150,151,152,156,158,192,197,198,211,212,213,
216,217,218,219,220,227,228,229,230,235,239,240,241,242,255,256,257,292,308,
311,312,341,343,358,362,435,436,441,442,509,518,521,530,534,535,560,563,564,
602,604,605,613,614,615,632,658,812,956,963,965,966,983,984,986,1257],[1,2,3,
7,9,12,13,14,22,39,40,45,56,58,67,79,98,122,134,147,168,184,213,229,234,252,
297,323,359,405,437,459,480,618,667,878,960,1258],[1,2,3,4,7,9,12,13,14,15,16,
17,22,37,39,40,45,47,49,56,58,60,65,67,72,74,75,98,122,123,135,154,157,169,
181,193,215,216,227,229,232,233,250,252,295,296,323,325,363,404,439,440,451,
453,481,616,617,667,877,961,1259],[1,2,3,7,9,10,11,12,13,14,22,45,56,57,58,59,
62,68,69,98,122,145,169,172,173,174,176,237,238,243,244,252,323,411,429,446,
649,667,854,978,1260],[1,2,3,4,7,9,10,11,13,14,15,16,17,22,34,35,37,40,45,47,
49,56,57,60,65,67,72,74,75,76,77,78,80,81,110,122,123,154,157,171,179,181,183,
188,193,218,219,232,233,257,259,295,296,323,325,337,338,363,418,457,458,481,
503,505,637,638,668,837,961,1261],[1,2,3,4,7,9,12,13,14,15,16,17,22,33,37,40,
45,47,49,56,58,60,66,67,72,74,75,76,84,86,107,122,123,154,157,168,179,181,186,
187,193,218,220,231,233,256,259,295,296,323,325,340,363,414,450,454,482,504,
505,635,636,670,838,961,1262],[1,2,3,4,7,9,10,11,13,14,15,16,22,34,35,39,45,
47,56,57,67,75,79,80,81,110,122,147,171,177,184,188,216,234,255,297,323,337,
338,359,413,462,480,513,639,668,844,960,1263],[1,2,3,4,7,9,12,13,14,15,16,17,
22,30,37,40,45,47,49,56,58,60,66,67,72,74,75,79,82,86,106,122,123,154,157,169,
181,184,185,186,193,212,213,231,233,253,255,295,296,323,325,339,363,417,452,
453,482,501,502,633,634,671,835,961,1264],[1,3,4,7,10,11,12,14,16,17,18,26,33,
35,41,43,46,51,52,59,62,64,69,70,77,80,81,83,85,86,87,88,89,112,122,123,162,
167,174,195,200,201,204,208,225,226,237,245,264,265,300,301,324,328,337,340,
369,426,461,468,483,525,526,643,644,669,850,962,1265],[1,3,4,7,11,12,14,16,17,
18,26,33,34,41,43,46,51,52,62,64,68,70,77,81,83,85,86,88,117,122,123,162,167,
172,195,204,208,224,225,238,245,261,265,300,301,324,328,338,340,369,421,464,
465,485,525,527,645,648,673,849,962,1266],[1,2,3,4,5,8,9,13,14,15,16,20,24,29,
39,40,45,47,55,56,60,61,67,72,75,79,97,99,100,105,118,134,135,141,142,146,147,
157,158,177,181,184,213,216,229,233,234,235,255,292,303,312,318,329,343,373,
377,437,440,443,502,513,560,602,603,615,621,632,683,813,964,969,983,999,1009,
1267],[1,2,3,4,5,8,9,13,14,15,16,20,24,28,29,37,38,39,45,47,55,56,60,61,65,66,
71,72,73,74,79,96,97,99,100,104,105,118,133,135,141,142,146,147,154,155,156,
178,180,184,211,212,214,215,227,228,230,231,232,236,253,254,292,302,303,311,
316,329,341,342,373,376,436,438,439,444,500,501,512,558,559,602,603,613,614,
621,630,631,682,814,963,967,968,981,982,998,1009,1268],[1,2,3,4,5,8,9,13,15,
16,17,20,24,29,37,39,40,47,49,55,56,60,61,65,67,72,74,75,76,97,99,100,105,118,
135,139,142,143,148,149,150,151,153,154,157,158,179,190,193,215,216,218,219,
227,229,232,233,239,242,257,259,292,303,312,318,329,343,375,380,439,440,442,
448,503,505,514,562,564,604,605,613,615,621,630,632,683,816,965,968,969,985,
986,1003,1010,1269],[1,2,3,4,5,8,9,13,15,16,17,20,24,28,29,38,39,40,47,49,55,
56,60,61,66,67,71,72,73,74,75,76,96,97,99,100,104,105,118,135,140,142,143,150,
151,152,153,155,156,157,179,189,194,214,216,217,220,228,229,231,233,240,241,
256,258,292,302,303,311,316,329,341,342,375,381,438,440,441,447,504,506,515,
561,563,604,605,614,615,621,631,632,682,815,966,967,969,984,987,1002,1010,
1270],[1,2,3,7,9,12,13,14,22,26,40,43,45,46,56,58,79,82,120,122,128,134,137,
168,184,185,248,252,296,301,323,324,405,406,487,623,629,659,739,1271],[1,2,3,
4,7,9,12,13,15,16,17,22,26,40,43,47,49,51,56,58,76,84,120,123,131,134,137,169,
179,187,249,250,251,296,301,325,328,401,403,493,623,629,662,740,1272],[1,2,3,
4,5,8,9,12,13,15,18,20,29,38,39,53,56,58,61,65,67,71,74,76,79,85,89,99,100,
105,147,151,155,168,191,196,197,215,217,232,234,254,259,292,308,315,334,360,
416,449,459,478,508,510,603,604,630,686,833,954,974,1001,1273],[1,2,3,4,5,9,
12,13,15,18,20,28,37,39,53,56,58,60,66,67,72,74,76,79,85,89,100,104,147,150,
154,168,191,196,198,214,218,231,234,253,258,292,306,317,334,361,416,450,459,
479,507,511,603,605,631,688,832,955,974,1000,1274],[1,2,3,4,5,9,10,11,13,15,
18,20,29,37,39,53,56,57,60,65,67,72,74,76,79,87,88,100,105,147,150,154,171,
191,198,207,215,218,232,234,254,258,292,306,315,333,361,415,457,462,478,507,
510,603,605,630,687,842,955,975,1001,1275],[1,2,3,4,5,8,9,10,11,13,15,18,20,
28,38,39,53,56,57,61,66,67,71,74,76,79,87,88,99,100,104,147,151,155,171,191,
197,207,214,217,231,234,253,259,292,308,317,333,360,415,456,462,479,508,511,
603,604,631,684,843,954,975,1000,1276],[1,2,3,4,5,9,10,11,13,14,15,16,20,29,
39,45,47,56,57,67,75,79,80,81,100,105,147,171,177,184,188,216,234,255,292,307,
318,333,359,413,462,480,513,603,632,685,844,953,975,999,1277],[1,3,4,6,10,11,
12,14,16,18,23,31,42,44,48,54,59,62,63,68,70,77,78,80,82,84,85,87,88,89,102,
103,109,159,161,164,174,199,202,205,206,209,222,223,238,247,263,265,298,310,
320,336,368,425,460,467,486,516,523,607,611,641,691,848,958,976,1004,1278],[1,
3,4,6,10,11,12,14,16,18,23,32,41,44,48,54,59,62,64,69,70,77,78,81,82,84,85,87,
88,89,102,111,159,162,165,174,199,202,205,206,210,221,225,237,247,260,262,298,
309,321,336,370,425,461,467,484,517,522,607,612,640,690,847,957,976,1005,
1279],[1,3,4,6,10,11,12,14,16,18,23,32,42,44,48,54,62,63,69,70,77,80,82,84,88,
89,102,103,111,159,161,164,172,205,206,209,221,222,237,247,260,265,298,310,
321,335,368,422,463,466,484,517,523,607,611,640,692,845,958,977,1005,1280],[1,
3,4,6,11,12,14,16,18,23,31,41,44,48,54,62,64,68,70,77,81,82,84,88,89,102,109,
159,162,165,172,205,206,210,223,225,238,247,262,263,298,309,320,335,370,422,
464,466,486,516,522,607,612,641,689,846,957,977,1004,1281],[1,2,3,4,5,8,9,13,
14,15,16,18,20,24,37,38,39,45,47,52,53,54,55,56,60,61,71,72,73,74,76,79,99,
100,118,132,133,135,141,142,146,147,150,151,154,155,156,178,179,180,184,191,
192,197,198,292,306,308,329,360,361,362,373,375,376,385,386,602,603,604,605,
621,654,731,954,955,956,1009,1010,1282],[1,2,3,4,6,10,11,12,13,14,15,16,18,21,
23,25,41,42,44,45,47,48,52,53,54,57,58,59,62,63,64,77,78,80,81,82,84,102,103,
119,129,132,136,138,144,145,159,160,161,162,164,165,166,183,185,187,188,202,
205,209,210,298,309,310,330,368,370,371,374,378,382,387,391,606,607,611,612,
625,655,732,957,958,959,1011,1012,1283],[1,2,3,5,8,9,13,14,20,24,39,45,55,56,
65,66,79,99,100,118,135,141,146,147,184,230,231,232,236,292,313,314,329,373,
431,432,444,602,603,621,663,736,979,980,1009,1284],[1,2,3,7,9,12,13,14,22,26,
39,45,46,56,58,79,82,120,122,128,147,184,185,248,252,297,323,324,359,487,555,
659,801,960,1285],[1,2,3,4,7,9,12,13,14,15,16,22,27,39,45,47,48,56,58,79,86,
121,122,129,147,184,186,248,250,297,323,326,359,488,555,660,802,960,1286],[1,
2,3,7,8,9,10,11,12,13,14,22,45,55,56,57,58,59,62,101,122,141,145,168,171,172,
174,175,323,410,411,649,698,738,978,1287],[1,2,3,4,5,8,9,13,14,15,18,20,38,39,
45,53,56,61,65,66,71,74,76,79,99,100,147,151,155,184,191,197,211,215,228,232,
236,253,254,292,307,308,313,359,360,431,500,510,549,558,603,604,700,803,953,
954,980,1288],[1,2,3,4,5,9,13,14,15,18,20,37,39,45,53,56,60,65,66,72,74,76,79,
100,147,150,154,184,191,198,212,214,227,231,236,253,254,292,306,307,314,359,
361,432,501,511,549,559,603,605,701,804,953,955,979,1289],[1,2,3,4,5,9,13,15,
16,18,20,29,39,47,53,56,65,66,67,74,75,76,79,100,105,147,177,191,215,216,231,
232,234,236,254,255,256,257,292,314,315,318,432,477,479,510,513,547,557,603,
630,632,680,913,979,999,1001,1290],[1,2,3,4,5,9,13,15,16,18,20,28,29,39,47,53,
56,65,66,67,74,75,76,79,100,104,105,147,177,191,214,216,231,232,234,236,253,
255,256,257,292,313,317,318,431,477,478,511,513,547,556,603,631,632,681,912,
980,999,1000,1291],[1,2,3,4,5,9,13,15,18,20,28,39,40,53,56,65,66,67,74,76,79,
97,100,104,134,147,191,213,214,219,220,229,231,234,236,253,292,312,314,317,
396,432,437,479,511,531,556,603,615,631,695,924,964,979,1000,1292],[1,2,3,4,5,
9,13,15,18,20,29,39,40,53,56,65,66,67,74,76,79,97,100,105,134,147,191,213,215,
219,220,229,232,234,236,254,292,312,313,315,397,431,437,478,510,531,557,603,
615,630,696,925,964,980,1001,1293],[1,2,3,4,7,10,11,12,13,14,15,16,18,22,26,
45,46,47,52,53,54,57,58,59,62,80,81,85,86,87,88,89,120,122,128,132,145,172,
174,186,188,195,196,199,200,201,204,206,207,323,324,388,392,411,421,426,649,
659,755,978,1016,1294],[1,2,3,4,7,10,11,12,13,14,15,16,18,22,27,45,47,48,52,
53,54,57,58,59,62,77,78,84,85,87,88,89,121,122,129,132,145,172,174,183,187,
195,196,199,200,202,205,206,207,323,326,387,392,411,422,425,649,660,756,978,
1015,1295],[1,2,3,4,7,8,9,13,14,15,16,17,22,26,37,38,40,45,46,47,48,49,51,55,
56,60,61,71,72,73,74,75,120,122,123,128,129,131,133,134,141,142,154,155,156,
157,158,177,178,180,181,193,194,295,296,323,324,325,328,363,364,376,377,383,
384,622,623,659,662,735,961,1296],[1,2,3,4,7,8,9,13,14,15,16,17,22,27,37,38,
40,45,47,48,49,50,51,55,56,60,61,71,72,73,74,75,121,122,123,129,130,131,139,
140,142,143,148,149,152,153,154,155,156,157,158,177,178,180,181,189,190,193,
194,295,296,323,325,326,327,363,364,365,366,367,380,381,384,389,627,628,660,
661,734,961,1297],[1,2,3,4,7,10,11,12,13,14,15,16,17,18,22,26,41,42,43,45,46,
47,49,51,52,53,54,57,58,59,62,63,64,77,78,80,81,83,86,120,122,123,128,131,132,
136,137,144,145,161,162,163,166,167,182,183,186,188,201,203,204,208,300,301,
323,324,325,328,369,372,379,382,388,390,626,629,659,662,733,962,1298],[1,2,3,
4,5,8,9,12,13,15,20,29,38,39,56,58,61,65,66,67,71,74,79,96,100,105,147,155,
168,211,215,228,232,234,236,241,242,253,292,313,334,341,431,433,449,459,470,
557,558,603,614,630,677,907,974,980,981,1299],[1,2,3,4,5,9,12,13,15,20,28,37,
39,56,58,60,65,66,67,72,74,79,97,100,104,147,154,168,212,214,227,231,234,236,
239,240,254,292,314,334,342,432,434,450,459,470,556,559,603,613,631,678,908,
974,979,982,1300],[1,2,3,4,5,8,9,10,11,13,15,20,29,38,39,56,57,61,65,66,67,71,
74,79,96,100,105,147,155,171,211,215,228,231,234,236,241,242,253,292,314,333,
341,432,433,456,462,469,556,558,603,614,630,676,906,975,979,981,1301],[1,2,3,
4,5,9,10,11,13,15,20,28,37,39,56,57,60,65,66,67,72,74,79,97,100,104,147,154,
171,212,214,227,232,234,236,239,240,254,292,313,333,342,431,434,457,462,469,
557,559,603,613,631,679,905,975,980,982,1302],[1,2,3,7,10,11,12,13,14,22,30,
44,45,57,58,59,62,70,82,106,122,138,145,159,160,172,174,185,245,246,247,323,
339,374,411,445,466,467,649,671,823,978,994,1303],[1,2,3,4,7,10,11,12,13,14,
15,16,22,33,43,45,47,57,58,59,62,63,64,70,83,86,107,122,137,144,145,163,167,
172,174,182,186,245,246,247,323,340,379,411,445,465,468,649,670,822,978,992,
1304],[1,2,3,4,7,10,11,12,13,14,15,16,22,34,35,41,42,45,47,57,58,59,62,63,64,
68,69,77,78,80,81,110,122,136,144,145,161,162,166,172,174,183,188,237,238,243,
244,323,337,338,382,411,446,460,461,463,464,649,668,824,978,991,993,1305],[1,
2,3,5,8,9,10,11,12,13,14,20,24,39,45,55,56,57,58,59,62,67,79,99,100,118,135,
141,145,146,147,168,171,175,184,233,234,235,292,329,333,334,373,410,443,459,
462,602,603,621,693,819,974,975,1009,1306],[1,2,3,6,10,11,12,13,14,21,23,25,
44,45,57,58,59,62,70,82,102,103,119,138,145,159,160,172,174,185,245,246,247,
298,330,335,336,374,411,445,466,467,606,607,625,694,823,976,977,1011,1307],[1,
2,3,4,5,8,9,13,14,15,16,18,20,24,28,29,39,45,47,52,53,54,55,56,65,66,73,74,76,
79,99,100,104,105,116,118,132,135,141,146,147,178,179,184,191,192,214,215,230,
231,232,236,253,254,292,315,316,317,329,345,373,385,444,510,511,512,532,549,
602,603,621,630,631,704,860,998,1000,1001,1009,1017,1308],[1,2,3,4,6,10,11,12,
13,14,15,16,18,21,23,25,31,32,44,45,47,52,53,54,57,58,59,62,68,69,82,85,87,88,
89,102,103,108,109,111,114,119,132,138,145,159,160,185,195,196,199,200,206,
207,221,223,237,238,243,244,260,263,298,320,321,322,330,348,374,392,446,516,
517,529,533,550,606,607,625,640,641,705,867,1004,1005,1006,1011,1018,1309],[1,
2,3,5,9,12,13,14,20,39,40,45,56,58,67,79,97,100,134,147,168,184,213,229,234,
252,292,307,312,334,359,405,437,459,480,603,615,675,878,953,964,974,1310],[1,
2,3,4,5,9,12,13,15,16,20,24,29,39,47,56,58,67,75,79,100,105,118,135,147,168,
177,216,234,251,255,292,318,331,334,355,399,400,459,513,603,621,632,706,787,
974,995,999,1311],[1,2,3,4,5,9,13,15,18,20,24,37,39,53,56,60,65,66,72,74,76,
79,100,118,135,147,150,154,191,198,212,214,215,227,232,236,254,292,306,313,
331,355,361,431,439,510,532,559,603,605,621,702,809,955,980,995,1312],[1,2,3,
4,5,8,9,13,15,18,20,24,38,39,53,56,61,65,66,71,74,76,79,99,100,118,135,147,
151,155,191,197,211,214,215,228,231,236,253,292,308,314,331,355,360,432,438,
511,532,558,603,604,621,703,808,954,979,995,1313],[1,2,3,4,5,8,9,13,15,18,20,
24,28,29,38,39,53,56,61,65,66,71,74,76,79,96,100,104,105,116,118,135,147,151,
155,191,197,211,214,215,228,231,236,253,292,302,317,331,341,345,355,360,432,
438,511,532,558,603,614,621,630,631,664,808,967,981,995,1000,1017,1314],[1,2,
3,4,5,9,13,15,18,20,24,28,29,37,39,53,56,60,65,66,72,74,76,79,97,100,104,105,
116,118,135,147,150,154,191,198,212,214,215,227,232,236,254,292,303,315,331,
342,345,355,361,431,439,510,532,559,603,613,621,630,631,665,809,968,982,995,
1001,1017,1315],[1,2,3,4,7,8,9,13,15,18,22,26,27,30,33,34,35,38,39,40,53,56,
61,65,66,67,71,74,76,79,98,101,106,107,110,112,113,115,117,120,121,134,140,
147,149,151,155,191,197,211,213,215,217,219,220,228,229,234,236,241,242,253,
259,296,304,305,319,332,344,346,347,356,360,433,437,441,508,520,531,535,558,
562,609,617,623,628,634,635,637,666,810,971,973,988,997,1007,1019,1021,1316],[
1,2,3,4,7,8,9,13,15,18,22,26,27,30,33,34,35,37,38,39,40,53,55,60,61,65,66,67,
71,72,73,75,76,79,98,101,106,107,110,112,113,115,117,120,121,133,139,140,146,
148,150,151,152,156,158,192,197,198,211,212,213,216,217,218,219,220,227,228,
229,230,235,239,240,241,242,255,256,257,295,304,305,319,332,344,346,347,358,
362,435,436,441,442,509,518,521,530,534,535,560,563,564,610,616,622,627,633,
636,638,666,812,970,972,989,996,1008,1020,1022,1317],[1,2,3,5,9,10,11,13,20,
24,39,40,56,57,67,79,97,100,118,134,135,147,171,176,213,229,234,292,312,331,
333,355,399,408,437,462,603,615,621,697,761,964,975,995,1318],[1,3,4,7,11,12,
14,16,18,27,30,34,41,44,48,54,62,64,68,70,77,81,82,84,88,89,113,122,159,162,
165,172,205,206,210,223,225,238,247,262,263,326,338,339,370,422,464,466,486,
516,522,649,674,846,991,994,1015,1319],[1,3,4,7,10,11,12,14,16,18,27,30,35,42,
44,48,54,62,63,69,70,77,80,82,84,88,89,115,122,159,161,164,172,205,206,209,
221,222,237,247,260,265,326,337,339,368,422,463,466,484,517,523,649,672,845,
993,994,1015,1320],[1,3,4,7,10,11,12,14,16,17,18,26,33,35,42,43,46,51,52,59,
62,63,64,69,70,77,78,80,81,83,85,86,88,112,122,161,163,166,167,172,195,201,
203,204,208,222,226,237,245,262,264,324,337,340,372,421,463,465,483,524,526,
649,669,852,992,993,1016,1321],[1,3,4,7,11,12,14,16,17,18,26,33,34,41,43,46,
51,52,62,64,68,70,77,81,83,85,86,88,117,122,162,167,172,195,204,208,224,225,
238,245,261,265,324,338,340,369,421,464,465,485,525,527,649,673,849,991,992,
1016,1322],[1,2,3,4,5,8,9,10,11,12,13,15,18,20,24,28,29,41,42,53,55,57,58,70,
73,76,85,87,88,89,99,100,104,105,116,118,136,173,175,192,196,207,222,225,246,
299,315,316,317,329,345,393,424,471,537,567,624,646,704,909,1025,1028,1323],[
1,2,3,4,6,9,10,11,13,15,18,21,23,25,31,32,41,42,53,56,57,70,74,76,87,88,102,
103,108,109,111,114,119,136,171,176,191,207,222,225,246,294,320,321,322,330,
348,394,415,473,537,566,619,647,705,910,1024,1029,1324],[1,2,3,4,6,8,9,10,11,
12,13,15,18,21,23,25,31,32,37,38,53,55,57,58,67,73,76,85,87,88,89,102,103,108,
109,111,114,119,133,170,175,192,196,207,217,218,235,293,320,321,322,330,348,
395,424,475,530,565,620,642,705,911,1023,1030,1325],[1,2,3,7,8,9,13,14,22,45,
55,56,67,101,122,141,233,234,235,323,443,698,743,1326],[1,2,3,5,8,9,10,11,12,
13,20,24,41,42,55,57,58,67,68,69,99,100,118,136,173,175,235,244,299,329,333,
334,393,472,475,624,693,922,1028,1327],[1,2,3,6,9,10,11,13,21,23,25,41,42,56,
57,65,66,70,102,103,119,136,171,176,236,246,294,330,335,336,394,469,473,619,
694,923,1029,1328],[1,2,3,6,8,9,10,11,12,13,21,23,25,37,38,55,57,58,68,69,70,
102,103,119,133,170,175,244,246,293,330,335,336,395,471,472,620,694,921,1030,
1329],[1,2,3,4,7,8,9,10,11,12,13,14,15,16,18,22,26,27,30,33,34,35,45,46,47,48,
52,53,54,55,56,57,58,59,60,61,62,63,64,71,72,76,79,80,81,82,83,84,86,98,101,
106,107,110,112,113,115,117,120,121,122,128,129,132,141,142,144,145,170,175,
176,179,180,181,182,184,185,186,187,188,197,198,201,204,209,210,248,249,250,
251,252,304,305,319,323,324,326,332,337,338,339,340,344,346,347,383,386,388,
391,420,487,489,490,491,498,499,539,541,542,546,659,660,666,667,668,669,670,
671,672,673,674,698,891,1037,1041,1042,1043,1045,1046,1051,1330],[1,2,3,4,5,8,
9,13,15,18,20,24,28,29,37,38,39,40,53,55,60,61,65,66,67,71,72,73,75,76,79,96,
97,99,100,104,105,116,118,133,139,140,146,148,150,151,152,156,158,192,197,198,
211,212,213,216,217,218,219,220,227,228,229,230,235,239,240,241,242,255,256,
257,302,303,306,307,308,311,312,313,314,315,316,317,318,329,331,333,334,341,
342,343,345,358,362,435,436,441,442,509,518,521,530,534,535,560,563,564,650,
651,652,653,654,656,657,658,663,664,665,675,676,677,678,679,680,681,682,683,
684,685,686,687,688,693,695,696,697,700,701,702,703,704,706,812,1013,1014,
1031,1032,1033,1034,1035,1036,1038,1039,1040,1044,1047,1049,1050,1331],[1,2,5,
6,7,9,20,21,22,40,90,91,92,97,98,100,266,267,268,312,350,568,570,572,711,929,
1058,1332],[1,3,6,7,11,23,30,41,92,102,280,309,349,709,1057,1333],[1,3,6,7,10,
11,23,30,42,92,102,103,280,310,349,709,1056,1057,1334],[1,2,3,6,7,10,11,13,21,
22,23,25,30,57,92,102,103,106,119,268,279,280,330,349,575,709,710,712,1053,
1056,1057,1335],[1,3,4,6,7,11,18,23,27,30,31,34,88,92,102,109,113,275,280,281,
320,349,594,709,716,1057,1061,1336],[1,3,4,6,7,11,18,23,27,30,32,35,88,92,102,
111,115,274,280,284,321,349,588,709,717,1057,1060,1337],[1,3,4,6,7,10,18,23,
27,30,31,32,34,35,87,92,103,109,111,113,115,274,275,280,281,284,322,349,588,
594,709,716,717,1056,1060,1061,1338],[1,2,5,6,7,9,20,21,22,65,90,91,92,97,98,
100,266,267,268,314,350,568,570,572,711,930,1058,1339],[1,3,6,7,11,23,30,70,
92,102,280,336,349,709,1057,1340],[1,3,6,7,11,23,30,70,92,102,280,335,349,709,
1057,1341],[1,2,4,5,6,7,8,9,15,20,21,22,29,31,32,34,35,61,90,91,92,96,97,98,
99,100,101,105,108,110,266,267,268,270,271,272,273,274,275,341,343,344,350,
568,569,570,571,572,580,581,582,585,707,708,711,939,943,944,1054,1055,1058,
1342],[1,2,5,6,7,8,9,20,21,22,38,90,91,92,96,97,98,99,100,101,266,267,268,308,
311,350,568,569,570,571,572,585,711,928,945,1055,1058,1343],[1,2,3,5,6,7,9,13,
20,21,22,23,24,25,26,30,79,90,91,92,97,98,100,106,118,119,120,266,267,268,269,
277,278,279,280,304,331,350,568,570,572,573,574,575,586,711,715,932,947,1058,
1059,1344],[1,2,4,5,6,7,9,15,20,21,22,27,28,31,32,33,76,90,91,92,97,98,100,
104,107,108,121,266,267,268,276,281,282,283,284,305,317,350,568,570,572,576,
577,578,579,711,714,933,938,1058,1063,1345],[1,2,5,6,7,9,20,21,22,67,90,91,92,
97,98,100,266,267,268,333,350,568,570,572,711,931,1058,1346],[1,2,3,4,6,7,13,
15,18,21,22,23,25,27,30,31,32,34,35,53,92,106,108,109,110,111,113,114,115,119,
121,268,274,275,279,280,281,284,347,348,349,575,578,582,588,589,594,595,709,
710,712,716,717,942,1053,1060,1061,1062,1066,1347],[1,2,3,4,5,6,7,8,13,15,20,
21,22,23,24,25,26,27,28,30,31,32,33,71,90,91,92,96,99,101,104,106,107,108,118,
119,120,121,266,267,268,269,276,277,278,279,280,281,282,283,284,302,319,332,
350,569,571,573,574,575,576,577,578,579,585,586,711,714,715,937,946,949,1055,
1059,1063,1348],[1,2,3,4,5,6,7,13,15,18,20,21,22,23,24,25,26,27,28,29,30,31,
32,33,34,35,53,90,91,92,104,105,106,107,108,109,110,111,112,113,114,115,116,
117,118,119,120,121,266,267,268,269,270,271,272,273,274,275,276,277,278,279,
280,281,282,283,284,345,346,347,348,350,573,574,575,576,577,578,579,580,581,
582,583,584,586,588,589,590,591,592,593,594,595,707,708,711,714,715,940,941,
942,948,1054,1059,1063,1064,1065,1349],[1,2,5,8,9,19,20,38,39,66,94,96,97,99,
228,288,292,311,596,614,1070,1350],[1,2,5,9,19,20,39,40,67,94,97,100,229,288,
292,312,597,615,1070,1351],[1,2,3,7,9,13,19,22,26,30,37,66,79,94,98,106,120,
212,288,295,304,596,633,1071,1352],[1,2,3,7,9,13,19,22,26,30,40,67,79,94,98,
106,120,213,288,296,304,597,634,1072,1353],[1,2,4,7,9,15,19,22,27,33,37,67,76,
94,98,107,121,218,288,295,305,597,636,1071,1354],[1,2,4,7,9,15,19,22,27,33,40,
66,76,94,98,107,121,220,288,296,305,596,635,1072,1355],[1,2,4,5,8,9,15,19,20,
29,39,61,76,94,95,97,99,105,151,288,289,290,292,343,598,604,1070,1356],[1,2,4,
7,8,9,15,19,22,34,35,40,61,74,94,95,98,101,110,149,288,289,290,296,344,598,
609,1072,1357],[1,2,4,7,8,9,15,19,22,34,35,37,61,75,94,95,98,101,110,148,288,
289,290,295,344,598,610,1071,1358],[1,2,4,7,8,9,15,17,19,22,34,35,49,60,61,94,
95,98,101,110,123,143,288,289,290,325,344,598,699,723,1076,1359],[1,2,4,5,8,9,
15,19,20,29,61,66,67,94,95,96,100,105,127,241,288,289,290,313,334,341,353,354,
596,597,598,677,722,724,725,950,1073,1074,1075,1360],[1,2,3,4,8,9,10,11,12,13,
14,15,16,17,18,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,
59,60,61,62,63,64,71,72,73,74,75,76,77,78,79,80,81,82,83,84,86,128,129,131,
132,133,134,135,136,137,138,141,142,144,145,146,147,150,151,154,155,156,157,
158,159,160,161,162,163,164,165,166,167,168,169,170,171,173,175,176,177,178,
179,180,181,182,183,184,185,186,187,188,191,192,193,194,197,198,201,202,203,
204,205,208,209,210,248,249,250,251,252,360,361,362,363,364,368,369,370,371,
372,373,374,375,376,377,378,379,382,383,384,385,386,387,388,390,391,393,394,
395,400,401,402,403,404,405,406,407,408,409,410,412,413,414,417,418,419,420,
423,427,428,429,430,487,488,489,490,491,492,493,494,495,496,497,498,499,538,
539,540,541,542,543,544,545,546,729,730,731,732,733,735,739,740,741,742,753,
757,762,763,764,765,766,767,768,769,778,779,780,781,782,783,797,798,799,800,
881,882,883,887,888,889,890,891,1078,1079,1127,1128,1137,1138,1361],[1,2,3,4,
8,9,10,11,12,13,14,15,16,39,40,41,42,45,47,55,56,57,58,59,60,61,62,63,64,65,
66,72,75,76,77,78,79,80,81,134,135,136,141,142,144,145,146,147,150,151,157,
158,161,162,166,168,169,170,171,173,175,176,177,179,181,183,184,188,230,231,
232,236,248,250,251,252,373,375,377,382,393,394,400,401,404,405,408,410,412,
413,418,427,429,430,431,432,444,451,452,494,495,497,499,538,542,546,555,729,
736,778,780,783,796,797,799,853,859,869,883,896,1078,1125,1139,1362],[1,2,3,4,
8,9,10,11,12,13,14,15,16,39,40,41,42,45,47,55,56,57,58,59,60,61,62,63,64,67,
72,75,76,77,78,79,80,81,134,135,136,141,142,144,145,146,147,150,151,157,158,
161,162,166,168,169,171,173,175,176,177,179,181,183,184,188,213,216,229,233,
234,235,250,251,252,255,355,359,373,375,377,382,393,394,399,400,401,404,405,
408,410,412,413,418,429,430,437,440,443,459,462,480,494,495,497,499,502,513,
538,542,546,560,726,729,747,748,761,777,778,780,783,787,797,799,813,819,844,
878,883,1078,1085,1097,1112,1117,1363],[1,2,3,4,8,9,10,11,12,13,14,15,16,17,
37,39,40,41,42,45,47,49,55,56,57,58,59,60,61,62,63,64,65,67,72,74,75,76,77,78,
79,80,81,134,135,136,139,141,142,143,144,145,146,147,148,149,150,151,153,154,
157,158,161,162,166,168,169,171,173,175,176,177,179,181,183,184,188,190,193,
213,215,216,218,219,227,229,232,233,234,235,239,242,250,251,252,255,257,259,
357,363,365,373,375,377,380,382,393,394,397,398,400,401,404,405,408,410,412,
413,418,429,430,437,439,440,442,443,448,451,453,454,457,458,476,481,494,495,
497,499,502,503,505,513,514,538,542,546,560,562,564,727,729,744,746,750,751,
759,760,770,771,773,775,778,780,783,786,789,791,797,799,813,816,817,821,831,
837,875,877,883,1078,1084,1098,1100,1107,1110,1111,1114,1115,1364],[1,2,3,4,8,
9,10,11,12,13,14,15,16,17,37,38,39,40,41,42,45,47,49,55,56,57,58,59,60,61,62,
63,64,65,66,67,71,72,73,74,75,76,77,78,79,80,81,133,134,135,136,139,140,141,
142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,161,162,
166,168,169,171,173,175,176,177,178,179,180,181,183,184,188,189,190,193,194,
211,212,214,215,216,217,220,227,228,229,230,231,232,233,236,240,241,250,251,
252,253,254,256,258,356,357,358,364,366,367,373,375,376,377,380,381,382,393,
394,396,397,398,400,401,404,405,408,410,412,413,418,429,430,436,438,439,440,
441,444,447,449,450,452,455,456,457,458,477,482,494,495,497,499,500,501,504,
506,512,515,538,542,546,558,559,561,563,728,729,744,745,746,749,752,758,759,
760,772,774,776,778,780,783,784,785,788,790,797,799,814,815,818,820,830,836,
874,876,883,1078,1083,1084,1099,1101,1105,1106,1108,1109,1113,1116,1365],[1,2,
3,4,8,9,10,11,12,13,14,15,16,17,37,39,40,45,47,49,55,56,57,58,59,60,61,62,67,
72,74,75,79,80,81,134,135,139,141,142,143,145,146,147,148,149,153,154,157,158,
168,171,172,174,175,176,177,181,184,188,190,193,213,216,229,233,234,235,251,
252,255,355,357,359,363,365,373,377,380,398,399,400,405,408,410,411,413,437,
440,443,454,458,459,462,475,476,480,499,502,513,546,560,726,727,738,743,748,
750,760,761,778,786,787,793,813,817,819,831,844,875,878,1114,1117,1131,1193,
1366],[1,2,3,4,8,9,10,11,12,13,14,15,16,39,40,45,47,55,56,57,58,59,60,61,62,
65,66,67,68,69,72,75,79,80,81,134,135,141,142,145,146,147,157,158,168,169,170,
171,175,176,177,181,184,188,230,231,232,233,236,237,238,240,241,243,244,248,
251,252,373,377,396,398,400,405,408,410,413,427,431,432,444,446,447,451,452,
472,474,482,499,546,555,736,744,745,752,772,778,795,796,853,869,892,894,1095,
1099,1125,1367],[1,2,3,4,8,9,10,11,12,13,14,15,16,39,40,45,47,55,56,57,58,59,
60,61,62,65,66,67,70,72,75,79,80,81,134,135,141,142,145,146,147,157,158,168,
169,170,171,175,176,177,181,184,188,230,231,232,233,236,239,242,245,246,247,
248,251,252,373,377,397,398,400,405,408,410,413,427,431,432,444,445,448,451,
452,471,473,481,499,546,555,736,746,751,770,771,778,794,796,853,869,885,898,
1098,1125,1135,1368],[1,2,3,4,8,9,10,11,12,13,14,15,16,39,40,45,47,55,56,57,
58,59,60,61,62,65,67,72,75,79,80,81,134,135,141,142,145,146,147,157,158,168,
171,172,174,175,176,177,181,184,188,232,233,234,235,239,242,251,252,373,377,
397,398,399,400,405,408,410,411,413,443,448,454,458,459,462,475,480,481,499,
546,738,746,747,748,751,770,771,777,778,793,817,819,1097,1098,1131,1369],[1,2,
3,4,8,9,10,11,12,13,14,15,16,18,39,40,41,42,45,47,52,53,54,55,56,57,58,59,60,
61,62,63,64,65,66,70,72,73,74,75,76,77,78,79,80,81,85,87,88,89,132,134,135,
136,141,142,144,145,146,147,150,151,157,158,161,162,166,168,169,171,173,175,
176,177,178,179,181,183,184,188,191,192,195,196,199,200,206,207,214,215,219,
220,222,225,230,231,232,236,245,246,247,250,251,252,253,254,256,257,262,265,
373,375,377,382,385,392,393,394,400,401,404,405,408,410,412,413,415,416,418,
424,429,430,444,445,469,470,471,473,494,495,497,499,503,504,509,510,511,512,
522,523,524,525,531,532,537,538,542,546,547,549,554,566,567,729,754,778,780,
783,792,794,797,799,855,856,860,862,865,873,879,883,885,898,900,903,909,910,
918,920,923,1078,1120,1129,1135,1147,1171,1187,1196,1370],[1,2,3,4,8,9,10,11,
12,13,14,15,16,18,37,38,41,42,43,44,45,47,52,53,54,55,56,57,58,59,60,61,62,63,
64,67,68,69,70,71,72,73,74,76,77,78,80,81,82,83,84,85,86,87,88,89,132,133,136,
137,138,141,142,144,145,154,155,156,159,160,161,162,163,164,165,166,167,168,
169,170,171,173,175,176,178,179,180,182,183,185,186,187,188,191,192,195,196,
199,200,206,207,217,218,221,222,223,224,225,226,233,234,235,237,238,243,244,
245,246,247,248,249,250,251,252,258,259,260,261,262,263,264,265,374,376,378,
379,382,385,392,393,394,395,402,403,406,407,409,410,412,415,416,420,423,424,
427,428,429,430,443,445,446,471,472,473,474,475,494,495,496,497,498,499,505,
506,507,508,516,517,522,523,524,525,526,527,528,529,530,533,536,537,539,540,
541,543,544,545,548,550,553,554,565,566,567,730,754,779,781,782,783,793,794,
795,798,800,857,858,861,865,866,867,872,873,880,881,882,886,899,901,902,904,
909,910,911,918,919,920,921,922,1079,1119,1120,1130,1136,1148,1172,1173,1188,
1197,1198,1371],[1,2,3,4,8,9,10,11,12,13,14,15,16,17,18,37,39,40,43,44,45,46,
47,48,49,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,71,72,74,75,76,79,80,81,
82,83,84,86,128,129,132,134,135,137,138,139,141,142,143,144,145,146,147,148,
149,153,154,157,158,159,160,163,167,168,169,170,171,173,175,176,177,179,180,
181,182,184,185,186,187,188,190,193,197,198,201,204,209,210,212,213,216,218,
220,229,231,233,234,235,240,241,248,249,250,251,252,253,255,256,259,357,363,
365,373,374,377,379,380,383,386,388,391,396,398,400,401,402,403,404,405,406,
407,408,409,410,413,414,417,420,427,428,429,430,437,440,443,447,450,452,453,
454,458,476,482,487,488,489,490,491,492,497,498,499,501,502,504,505,513,520,
521,534,539,541,542,544,545,546,552,560,727,739,741,742,744,745,750,752,760,
764,765,768,769,771,772,773,776,778,779,784,786,789,790,799,800,813,817,831,
835,838,864,871,875,887,891,1087,1092,1099,1109,1111,1114,1124,1137,1140,
1372],[1,2,3,4,8,9,10,11,12,13,14,15,16,17,18,37,38,39,40,43,44,45,46,47,48,
49,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,71,72,73,74,75,76,79,80,81,
82,83,84,86,128,129,132,133,134,135,137,138,139,140,141,142,143,144,145,146,
147,148,149,152,153,154,155,156,157,158,159,160,163,167,168,169,170,171,173,
175,176,177,178,179,180,181,182,184,185,186,187,188,189,190,193,194,197,198,
201,204,209,210,211,212,213,214,215,217,219,227,228,230,231,232,233,236,239,
242,248,249,250,251,252,253,254,255,257,258,356,357,358,364,366,367,373,374,
376,377,379,380,381,383,386,388,391,396,397,398,400,401,402,403,404,405,406,
407,408,409,410,413,414,417,420,427,428,429,430,436,438,439,444,448,449,450,
451,454,455,456,457,477,481,487,488,489,490,491,492,497,498,499,500,501,502,
503,506,512,518,519,535,539,541,542,544,545,546,551,558,559,728,739,741,742,
746,749,751,758,759,764,765,768,769,770,771,772,774,775,778,779,784,785,786,
788,791,799,800,814,818,830,834,839,863,870,874,887,891,1086,1087,1090,1091,
1098,1108,1110,1113,1123,1137,1141,1373],[1,2,3,4,8,9,10,11,12,13,14,15,16,17,
18,37,38,39,40,43,44,45,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,
66,67,71,72,73,74,75,76,77,78,79,80,81,82,83,84,86,129,131,132,133,134,135,
137,138,139,140,141,142,143,144,145,148,149,150,151,152,153,154,155,156,157,
158,163,164,165,167,168,169,170,171,173,175,176,177,178,179,180,181,182,183,
184,185,186,187,188,189,190,191,192,193,194,197,198,202,203,205,208,209,210,
211,213,214,216,217,218,219,220,228,229,231,232,233,234,235,239,240,241,242,
248,249,250,251,252,254,255,256,257,258,259,356,357,358,364,366,367,375,376,
377,378,379,380,381,384,385,386,387,390,391,396,397,398,400,401,402,403,404,
405,406,407,408,409,412,414,417,418,419,423,427,428,429,430,438,440,441,443,
447,448,449,451,452,453,454,455,456,458,476,481,482,488,489,490,491,492,493,
494,495,496,497,498,499,500,502,503,504,505,506,507,508,515,518,519,530,535,
538,539,540,541,542,543,544,545,546,548,551,561,563,728,740,741,742,744,746,
750,751,752,758,760,762,763,765,766,767,769,771,772,773,774,775,776,780,781,
785,786,788,789,790,791,797,798,799,800,815,820,834,836,839,841,861,863,868,
870,876,888,889,890,1088,1089,1091,1092,1100,1106,1107,1108,1111,1116,1121,
1123,1138,1140,1142,1374],[1,2,3,4,8,9,10,11,12,13,14,15,16,17,18,37,39,40,43,
44,45,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,71,72,73,74,
75,76,77,78,79,80,81,82,83,84,86,129,131,132,134,135,137,138,139,141,142,143,
144,145,148,149,150,151,153,154,157,158,163,164,165,167,168,169,170,171,173,
175,176,177,178,179,180,181,182,183,184,185,186,187,188,190,191,192,193,194,
197,198,202,203,205,208,209,210,212,213,215,216,218,219,220,227,229,230,231,
232,233,236,239,240,241,242,248,249,250,251,252,253,255,256,257,259,357,363,
365,375,377,378,379,380,384,385,386,387,390,391,396,397,398,400,401,402,403,
404,405,406,407,408,409,412,414,417,418,419,423,427,428,429,430,439,440,442,
444,447,448,450,451,452,453,454,457,458,477,481,482,488,489,490,491,492,493,
494,495,496,497,498,499,501,502,503,504,505,509,514,520,521,531,534,538,539,
540,541,542,543,544,545,546,547,552,562,564,727,740,741,742,745,746,749,751,
752,759,760,762,763,765,766,767,769,770,772,773,774,775,776,780,781,784,786,
789,790,791,797,798,799,800,816,821,835,837,838,840,862,864,869,871,877,888,
889,890,1089,1090,1092,1101,1105,1107,1109,1110,1115,1122,1124,1138,1141,1142,
1375],[1,2,3,4,8,9,10,11,12,13,14,15,16,39,40,45,47,55,56,57,58,59,60,61,62,
66,67,70,72,75,79,80,81,134,135,141,142,145,146,147,157,158,168,171,175,176,
177,181,184,188,213,216,229,231,233,234,235,240,241,245,246,247,251,252,255,
355,359,373,377,396,398,399,400,405,408,410,413,437,440,443,445,447,459,462,
471,473,480,482,499,502,513,546,560,726,744,745,748,752,761,772,778,787,794,
813,819,844,878,885,898,1099,1117,1135,1151,1152,1376],[1,2,3,4,8,9,10,11,12,
13,14,15,16,17,37,38,39,40,45,47,49,55,56,57,58,59,60,61,62,65,66,67,70,71,72,
73,74,75,79,80,81,133,134,135,139,140,141,142,143,145,146,147,148,149,152,153,
154,155,156,157,158,168,171,175,176,177,178,180,181,184,188,189,190,193,194,
211,212,214,215,227,228,230,231,232,233,234,235,236,245,246,247,251,252,253,
254,356,357,358,364,366,367,373,376,377,380,381,396,397,399,400,405,408,410,
413,436,438,439,443,444,445,449,450,456,457,471,473,477,480,499,500,501,512,
546,558,559,728,747,748,749,758,759,777,778,784,785,794,814,818,830,874,885,
898,1097,1113,1135,1153,1154,1377],[1,2,3,4,8,9,10,11,12,13,14,15,16,18,39,40,
43,44,45,46,47,48,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,71,72,75,76,
79,80,81,82,83,84,86,128,129,132,134,135,137,138,141,142,144,145,146,147,157,
158,159,160,163,167,168,169,170,171,173,175,176,177,179,180,181,182,184,185,
186,187,188,197,198,201,204,209,210,230,231,232,233,234,235,236,248,249,250,
251,252,373,374,377,379,383,386,388,391,399,400,401,402,403,404,405,406,407,
408,409,410,413,414,417,420,427,428,429,430,431,432,443,444,451,452,480,481,
482,487,488,489,490,491,492,497,498,499,539,541,542,544,545,546,555,736,739,
741,742,747,748,764,765,768,769,777,778,779,796,799,800,827,853,869,884,887,
891,916,917,1097,1104,1125,1137,1190,1378],[1,2,3,4,8,9,10,11,12,13,14,15,16,
18,39,40,45,47,52,53,54,55,56,57,58,59,60,61,62,65,66,67,72,73,74,75,76,79,80,
81,85,87,88,89,132,134,135,141,142,145,146,147,157,158,168,171,175,176,177,
178,179,181,184,188,191,192,195,196,199,200,206,207,214,215,219,220,230,231,
232,233,234,235,236,240,241,251,252,253,254,256,257,373,377,385,392,396,398,
399,400,405,408,410,413,415,416,424,443,444,447,469,470,480,482,499,503,504,
509,510,511,512,531,532,546,547,549,744,745,747,748,752,754,772,777,778,792,
855,856,860,862,879,900,1097,1099,1129,1164,1165,1379],[1,2,3,4,8,9,10,11,12,
13,14,15,16,17,37,39,40,45,47,49,55,56,57,58,59,60,61,62,67,68,69,72,74,75,79,
80,81,134,135,139,141,142,143,145,146,147,148,149,153,154,157,158,168,171,175,
176,177,181,184,188,190,193,213,216,229,233,234,235,237,238,243,244,251,252,
255,357,363,365,373,377,380,398,399,400,405,408,410,413,437,440,443,446,454,
458,472,474,476,480,499,502,513,546,560,727,747,748,750,760,777,778,786,795,
813,817,831,875,892,894,1095,1097,1114,1145,1380],[1,2,3,4,8,9,10,11,12,13,14,
15,16,39,40,45,47,55,56,57,58,59,60,61,62,65,67,68,69,72,75,79,80,81,134,135,
141,142,145,146,147,157,158,168,171,175,176,177,181,184,188,213,216,229,232,
233,234,235,237,238,239,242,243,244,251,252,255,355,359,373,377,397,398,399,
400,405,408,410,413,437,440,443,446,448,459,462,472,474,480,481,499,502,513,
546,560,726,746,748,751,761,770,771,778,787,795,813,819,844,878,892,894,1095,
1098,1117,1143,1144,1381],[1,2,3,4,8,9,10,11,12,13,14,15,16,18,39,40,45,47,52,
53,54,55,56,57,58,59,60,61,62,65,66,67,72,73,74,75,76,79,80,81,85,87,88,89,
132,134,135,141,142,145,146,147,157,158,168,169,170,171,175,176,177,178,179,
181,184,188,191,192,195,196,199,200,206,207,214,215,219,220,230,231,232,233,
236,239,242,248,251,252,253,254,256,257,373,377,385,392,397,398,400,405,408,
410,413,415,416,424,427,444,448,469,470,481,499,503,504,509,510,511,512,531,
532,546,547,549,555,746,751,754,770,771,778,792,796,855,856,859,860,862,879,
896,900,1098,1129,1139,1160,1161,1382],[1,2,3,4,8,9,10,11,12,13,14,15,16,18,
39,40,43,44,45,46,47,48,52,53,54,55,56,57,58,59,60,61,62,63,64,67,71,72,75,76,
79,80,81,82,83,84,86,128,129,132,134,135,137,138,141,142,144,145,146,147,157,
158,159,160,163,167,168,169,170,171,173,175,176,177,179,180,181,182,184,185,
186,187,188,197,198,201,204,209,210,213,216,229,233,234,235,248,249,250,251,
252,255,355,359,373,374,377,379,383,386,388,391,399,400,401,402,403,404,405,
406,407,408,409,410,413,414,417,420,427,428,429,430,437,440,443,459,462,480,
487,488,489,490,491,492,497,498,499,502,513,539,541,542,544,545,546,555,560,
726,739,741,742,748,761,764,765,768,769,778,779,787,796,799,800,801,802,813,
819,844,859,878,887,891,896,916,917,1082,1117,1137,1139,1169,1170,1190,1200,
1383],[1,2,3,4,8,9,10,11,12,13,14,15,16,17,18,37,39,40,45,47,49,52,53,54,55,
56,57,58,59,60,61,62,65,66,67,72,73,74,75,76,79,80,81,83,84,85,87,88,89,132,
134,135,139,141,142,143,145,146,147,148,149,153,154,157,158,168,169,170,171,
175,176,177,178,179,181,182,184,187,188,190,191,192,193,195,196,199,200,206,
207,213,214,215,216,219,220,229,230,231,232,233,234,235,236,248,250,251,252,
253,254,255,256,257,357,363,365,373,377,380,385,392,396,397,398,400,401,405,
408,410,413,415,416,419,424,427,431,432,437,440,443,444,451,452,454,458,469,
470,476,477,478,479,490,499,502,503,504,509,510,511,512,513,531,532,543,546,
547,549,555,556,557,560,565,727,736,749,750,754,760,762,778,786,790,791,792,
796,813,817,825,831,840,853,855,856,860,862,869,872,875,879,884,897,900,912,
913,924,925,1114,1122,1125,1129,1159,1177,1178,1194,1195,1384],[1,2,3,4,8,9,
10,11,12,13,14,15,16,17,18,37,38,39,40,45,46,47,48,49,51,52,53,54,55,56,57,58,
59,60,61,62,63,64,67,71,72,73,74,75,76,77,78,79,80,81,82,83,84,86,128,129,131,
132,133,134,135,141,142,144,145,146,147,150,151,154,155,156,157,158,168,169,
170,171,175,176,177,178,179,180,181,182,183,184,185,186,187,188,191,192,193,
194,197,198,201,202,203,204,205,208,209,210,233,234,235,248,249,250,251,252,
360,361,362,363,364,373,375,376,377,383,384,385,386,387,388,390,391,395,399,
400,401,404,405,408,410,412,413,414,417,418,419,420,423,427,428,443,453,455,
480,487,488,489,490,491,492,493,495,496,498,499,538,539,541,542,543,546,555,
565,731,735,747,748,753,757,762,763,764,765,777,778,780,782,796,859,868,872,
881,889,890,891,896,916,917,1097,1118,1127,1139,1190,1385],[1,2,3,4,8,9,10,11,
12,13,14,15,16,17,18,37,38,39,40,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,
61,62,63,64,65,66,67,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,
128,129,131,132,133,134,135,141,142,144,145,146,147,150,151,154,155,156,157,
158,168,169,170,171,172,174,175,176,177,178,179,180,181,182,183,184,185,186,
187,188,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,
208,209,210,214,215,217,218,219,220,230,231,232,233,234,235,236,248,249,250,
251,252,253,254,256,257,258,259,360,361,362,363,364,373,375,376,377,383,384,
385,386,387,388,390,391,392,395,400,401,404,405,408,410,411,412,413,414,415,
416,417,418,419,420,421,422,423,424,425,426,427,428,443,444,449,450,454,456,
457,458,459,462,469,470,475,478,479,481,482,487,488,489,490,491,492,493,495,
496,498,499,503,504,505,506,507,508,509,510,511,512,530,531,532,538,539,541,
542,543,546,547,548,549,565,731,735,738,753,754,755,756,757,762,763,764,765,
778,780,782,792,793,817,818,819,825,827,832,833,836,837,838,839,842,843,853,
855,856,860,861,862,872,879,881,889,890,891,900,911,919,1093,1102,1119,1127,
1129,1131,1133,1178,1179,1182,1184,1386],[1,2,3,4,8,9,10,11,12,13,14,15,16,17,
18,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,68,69,
70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,128,129,131,132,
136,137,138,141,142,144,145,159,160,161,162,163,164,165,166,167,168,169,170,
171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,191,
192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,
221,222,223,224,225,226,237,238,243,244,245,246,247,248,249,250,251,252,260,
261,262,263,264,265,368,369,370,371,372,374,378,379,382,383,384,385,386,387,
388,390,391,392,393,394,402,403,406,407,409,410,411,412,413,414,415,416,417,
418,419,420,421,422,423,424,425,426,429,430,445,446,460,461,463,464,465,466,
467,468,471,472,473,474,483,484,485,486,487,488,489,490,491,492,493,494,495,
496,497,498,499,516,517,522,523,524,525,526,527,528,529,533,536,537,538,539,
540,541,542,543,544,545,546,550,553,554,566,567,732,733,738,753,754,755,756,
757,766,767,768,769,779,781,783,794,795,822,823,824,828,829,845,846,847,848,
849,850,851,852,854,857,858,865,866,867,873,880,882,883,887,888,889,890,891,
901,909,910,918,920,1093,1103,1120,1128,1130,1132,1134,1180,1181,1185,1186,
1387],[1,2,3,4,8,9,10,11,12,13,14,15,16,17,18,37,38,39,40,45,46,47,48,49,51,
52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,71,72,73,74,75,76,77,78,79,80,
81,82,83,84,86,128,129,131,132,133,134,135,141,142,144,145,146,147,150,151,
154,155,156,157,158,168,169,170,171,175,176,177,178,179,180,181,182,183,184,
185,186,187,188,191,192,193,194,197,198,201,202,203,204,205,208,209,210,230,
231,232,233,234,235,236,239,240,241,242,248,249,250,251,252,360,361,362,363,
364,373,375,376,377,383,384,385,386,387,388,390,391,395,396,397,398,400,401,
404,405,408,410,412,413,414,417,418,419,420,423,427,428,433,434,435,443,444,
447,448,476,477,481,482,487,488,489,490,491,492,493,495,496,498,499,538,539,
541,542,543,546,731,735,737,744,745,746,749,750,751,752,753,757,762,763,764,
765,770,771,772,773,774,775,776,778,780,782,826,827,881,889,890,891,1098,1099,
1100,1101,1126,1127,1140,1141,1142,1388],[1,2,3,4,8,9,10,11,12,13,14,15,16,39,
40,41,42,45,47,55,56,57,58,59,60,61,62,63,64,67,68,69,72,75,76,77,78,79,80,81,
134,135,136,141,142,144,145,146,147,150,151,157,158,161,162,166,168,169,171,
172,173,174,175,176,177,179,181,183,184,188,233,234,235,237,238,243,244,250,
251,252,373,375,377,382,393,394,400,401,404,405,408,410,411,412,413,418,429,
430,443,446,454,458,459,460,461,462,463,464,472,474,475,494,495,497,499,538,
542,546,729,738,778,780,783,793,795,797,799,817,819,824,854,883,892,894,902,
922,1078,1095,1103,1131,1173,1389],[1,2,3,4,8,9,10,11,12,13,14,15,16,37,38,41,
42,43,44,45,47,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,77,78,
80,81,82,83,84,86,133,136,137,138,141,142,144,145,154,155,156,159,160,161,162,
163,164,165,166,167,168,169,170,171,172,173,174,175,176,178,180,182,183,185,
186,187,188,230,231,232,236,237,238,243,244,245,246,247,248,249,250,251,252,
374,376,378,379,382,393,394,395,402,403,406,407,409,410,411,412,420,423,427,
428,429,430,444,445,446,449,450,456,457,460,461,463,464,465,466,467,468,469,
470,471,472,473,474,494,495,496,497,498,499,539,540,541,543,544,545,730,738,
779,781,782,783,792,794,795,798,800,818,822,823,824,853,854,881,882,893,895,
903,904,921,923,1079,1096,1102,1103,1132,1171,1172,1390],[1,2,3,4,8,9,10,11,
12,13,14,15,16,17,37,38,39,40,45,47,49,55,56,57,58,59,60,61,62,65,66,68,69,71,
72,73,74,75,79,80,81,133,134,135,139,140,141,142,143,145,146,147,148,149,152,
153,154,155,156,157,158,168,169,170,171,175,176,177,178,180,181,184,188,189,
190,193,194,211,212,214,215,227,228,230,231,232,236,237,238,243,244,248,251,
252,253,254,356,357,358,364,366,367,373,376,377,380,381,396,397,400,405,408,
410,413,427,436,438,439,444,446,449,450,456,457,472,474,477,499,500,501,512,
546,555,558,559,728,749,758,759,778,784,785,795,796,814,818,830,859,874,892,
894,896,1095,1113,1139,1191,1192,1391],[1,2,3,4,8,9,10,11,12,13,14,15,16,17,
18,37,38,39,40,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,68,69,
70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,86,128,129,131,132,133,134,135,
141,142,144,145,146,147,150,151,154,155,156,157,158,168,169,170,171,175,176,
177,178,179,180,181,182,183,184,185,186,187,188,191,192,193,194,197,198,201,
202,203,204,205,208,209,210,237,238,243,244,245,246,247,248,249,250,251,252,
360,361,362,363,364,373,375,376,377,383,384,385,386,387,388,390,391,395,400,
401,404,405,408,410,412,413,414,417,418,419,420,423,427,428,445,446,471,472,
473,474,483,484,485,486,487,488,489,490,491,492,493,495,496,498,499,538,539,
541,542,543,546,731,735,753,757,762,763,764,765,778,780,782,794,795,828,829,
881,885,889,890,891,892,894,898,904,921,1095,1127,1134,1135,1172,1392],[1,2,3,
4,8,9,10,11,12,13,14,15,16,17,18,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,
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,
83,84,86,128,129,131,132,136,137,138,141,142,144,145,159,160,161,162,163,164,
165,166,167,168,169,170,171,173,175,176,177,178,179,180,181,182,183,184,185,
186,187,188,191,192,193,194,197,198,201,202,203,204,205,208,209,210,230,231,
232,233,234,235,236,237,238,243,244,245,246,247,248,249,250,251,252,368,369,
370,371,372,374,378,379,382,383,384,385,386,387,388,390,391,393,394,402,403,
406,407,409,410,412,413,414,417,418,419,420,423,429,430,443,444,445,446,469,
470,471,472,473,474,475,478,479,481,482,483,484,485,486,487,488,489,490,491,
492,493,494,495,496,497,498,499,538,539,540,541,542,543,544,545,546,732,733,
753,757,766,767,768,769,779,781,783,792,793,794,795,825,827,828,829,882,883,
886,887,888,889,890,891,893,895,899,902,903,922,923,1096,1128,1133,1134,1136,
1171,1173,1393],[1,2,3,4,8,9,10,11,12,13,14,15,16,18,39,40,43,44,45,46,47,48,
52,53,54,55,56,57,58,59,60,61,62,63,64,67,70,71,72,75,76,79,80,81,82,83,84,86,
128,129,132,134,135,137,138,141,142,144,145,146,147,157,158,159,160,163,167,
168,169,170,171,172,173,174,175,176,177,179,180,181,182,184,185,186,187,188,
197,198,201,204,209,210,233,234,235,245,246,247,248,249,250,251,252,373,374,
377,379,383,386,388,391,400,401,402,403,404,405,406,407,408,409,410,411,413,
414,417,420,427,428,429,430,443,445,454,458,459,462,465,466,467,468,471,473,
475,487,488,489,490,491,492,497,498,499,539,541,542,544,545,546,738,739,741,
742,764,765,768,769,778,779,793,794,799,800,817,819,822,823,885,886,887,891,
898,899,1131,1132,1135,1136,1137,1394],[1,2,3,4,8,9,10,11,12,13,14,15,16,39,
40,45,47,55,56,57,58,59,60,61,62,66,67,72,75,79,80,81,134,135,141,142,145,146,
147,157,158,168,169,170,171,172,174,175,176,177,181,184,188,231,233,234,235,
240,241,248,251,252,373,377,396,398,400,405,408,410,411,413,427,443,447,454,
458,459,462,475,482,499,546,555,738,744,745,752,772,778,793,796,817,819,859,
896,1099,1131,1139,1395],[1,2,3,4,8,9,10,11,12,13,14,15,16,17,18,37,38,39,40,
45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,71,72,73,74,
75,76,77,78,79,80,81,82,83,84,86,128,129,131,132,133,134,135,141,142,144,145,
146,147,150,151,154,155,156,157,158,168,169,170,171,175,176,177,178,179,180,
181,182,183,184,185,186,187,188,191,192,193,194,197,198,201,202,203,204,205,
208,209,210,211,212,213,214,215,216,227,228,229,230,231,232,233,234,235,236,
248,249,250,251,252,253,254,255,355,359,360,361,362,363,364,373,375,376,377,
383,384,385,386,387,388,390,391,395,399,400,401,404,405,408,410,412,413,414,
417,418,419,420,423,427,428,431,432,436,437,438,439,440,443,444,451,452,453,
455,459,462,480,481,482,487,488,489,490,491,492,493,495,496,498,499,500,501,
502,510,511,512,513,532,538,539,541,542,543,546,549,555,558,559,560,565,726,
731,735,736,748,753,757,761,762,763,764,765,778,780,782,787,796,801,802,803,
804,808,809,813,814,819,827,834,835,844,853,860,868,869,872,876,877,878,881,
884,889,890,891,1080,1082,1104,1117,1118,1125,1127,1150,1162,1177,1179,1396],[
1,2,3,4,8,9,10,11,12,13,14,15,16,18,39,40,43,44,45,46,47,48,52,53,54,55,56,57,
58,59,60,61,62,63,64,65,66,68,69,71,72,73,74,75,76,79,80,81,82,83,84,85,86,87,
88,89,128,129,132,134,135,137,138,141,142,144,145,146,147,157,158,159,160,163,
167,168,169,170,171,173,175,176,177,178,179,180,181,182,184,185,186,187,188,
191,192,195,196,197,198,199,200,201,204,206,207,209,210,214,215,219,220,221,
223,224,226,230,231,232,236,237,238,243,244,248,249,250,251,252,253,254,256,
257,260,261,263,264,373,374,377,379,383,385,386,388,391,392,400,401,402,403,
404,405,406,407,408,409,410,413,414,415,416,417,420,424,427,428,429,430,444,
446,469,470,472,474,487,488,489,490,491,492,497,498,499,503,504,509,510,511,
512,516,517,526,527,528,529,531,532,533,536,539,541,542,544,545,546,547,549,
550,553,739,741,742,754,764,765,768,769,778,779,792,795,799,800,855,856,857,
858,860,862,866,867,879,880,887,891,892,893,894,895,900,901,1095,1096,1129,
1130,1137,1166,1167,1168,1397],[1,2,3,4,8,9,10,11,12,13,14,15,16,17,37,39,40,
45,47,49,55,56,57,58,59,60,61,62,67,70,72,74,75,79,80,81,134,135,139,141,142,
143,145,146,147,148,149,153,154,157,158,168,169,170,171,175,176,177,181,184,
188,190,193,213,216,229,233,234,235,245,246,247,248,251,252,255,357,363,365,
373,377,380,398,400,405,408,410,413,427,437,440,443,445,454,458,471,473,476,
499,502,513,546,555,560,727,750,760,778,786,794,796,813,817,831,859,875,885,
896,898,1114,1135,1139,1201,1398],[1,2,3,4,8,9,10,11,12,13,14,15,16,17,18,37,
38,39,40,45,47,49,52,53,54,55,56,57,58,59,60,61,62,65,66,67,71,72,73,74,75,76,
79,80,81,85,87,88,89,132,133,134,135,139,140,141,142,143,145,146,147,148,149,
150,151,152,153,154,155,156,157,158,168,171,175,176,177,178,179,180,181,184,
188,189,190,191,192,193,194,195,196,197,198,199,200,206,207,211,212,213,214,
215,216,217,218,219,220,227,228,229,230,231,232,233,234,235,236,239,240,241,
242,251,252,253,254,255,256,257,258,259,355,356,357,358,359,360,361,362,364,
366,367,373,375,376,377,380,381,385,386,392,396,397,399,400,405,408,410,413,
415,416,424,431,432,433,434,435,436,437,438,439,440,441,442,443,444,447,448,
449,450,456,457,459,462,469,470,477,478,479,480,499,500,501,502,503,504,505,
506,507,508,509,510,511,512,513,514,515,518,519,520,521,530,531,532,534,535,
546,547,548,549,551,552,556,557,558,559,560,561,562,563,564,726,728,731,736,
737,748,749,754,758,759,761,778,784,785,787,792,803,804,805,806,807,808,809,
810,811,812,813,814,815,816,818,819,825,830,832,833,842,843,844,855,856,860,
861,862,863,864,874,878,879,897,900,905,906,907,908,912,913,914,915,924,925,
926,927,1080,1081,1113,1117,1129,1155,1156,1157,1158,1159,1174,1175,1176,1182,
1199,1399],[1,2,3,4,8,9,10,11,12,13,14,15,16,17,37,38,39,40,45,47,49,55,56,57,
58,59,60,61,62,63,64,65,66,67,71,72,73,74,75,79,80,81,133,134,135,139,140,141,
142,143,144,145,146,147,148,149,152,153,154,155,156,157,158,168,169,170,171,
172,174,175,176,177,178,180,181,184,188,189,190,193,194,211,212,214,215,227,
228,230,231,232,233,234,235,236,239,240,241,242,248,249,251,252,253,254,356,
357,358,364,366,367,373,376,377,380,381,395,396,397,400,405,408,410,411,412,
413,427,428,431,432,433,434,435,436,438,439,443,444,447,448,449,450,451,452,
453,454,455,456,457,458,459,462,469,470,475,477,496,498,499,500,501,512,546,
555,556,557,558,559,728,736,737,738,749,758,759,778,782,784,785,792,793,796,
814,817,818,819,820,821,830,853,868,869,870,871,874,884,897,905,906,907,908,
1102,1113,1125,1131,1149,1150,1174,1189,1194,1400],[1,2,3,4,8,9,10,11,12,13,
14,15,16,17,18,37,38,39,40,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,
62,63,64,65,66,67,71,72,73,74,75,76,77,78,79,80,81,82,83,84,86,128,129,130,
131,132,133,134,135,139,140,141,142,143,144,145,146,147,148,149,150,151,152,
153,154,155,156,157,158,168,169,170,171,175,176,177,178,179,180,181,182,183,
184,185,186,187,188,189,190,191,192,193,194,197,198,201,202,203,204,205,208,
209,210,211,212,213,214,215,216,217,218,219,220,227,228,229,230,231,232,233,
234,235,236,239,240,241,242,248,249,250,251,252,253,254,255,256,257,258,259,
356,357,358,360,361,362,363,364,365,366,367,373,375,376,377,380,381,383,384,
385,386,387,388,389,390,391,395,396,397,398,400,401,404,405,408,410,412,413,
414,417,418,419,420,423,427,428,433,434,435,436,437,438,439,440,441,442,443,
444,447,448,449,450,451,452,453,454,455,456,457,458,476,477,481,482,487,488,
489,490,491,492,493,495,496,498,499,500,501,502,503,504,505,506,507,508,509,
512,513,514,515,518,519,520,521,530,531,534,535,538,539,541,542,543,546,547,
548,551,552,558,559,560,561,562,563,564,727,728,731,734,735,737,749,750,751,
752,753,757,758,759,760,762,763,764,765,778,780,782,784,785,786,788,789,790,
791,805,806,807,810,811,812,813,814,815,816,817,818,820,821,826,827,830,831,
834,835,836,837,838,839,840,841,861,862,863,864,868,869,870,871,874,875,876,
877,881,889,890,891,1077,1081,1113,1114,1115,1116,1121,1122,1123,1124,1126,
1127,1149,1162,1163,1183,1184,1401],[1,2,3,4,8,9,12,13,14,15,16,18,38,39,40,
44,45,47,48,53,56,58,61,65,66,67,68,69,71,74,76,79,83,85,86,89,129,134,138,
140,147,149,151,155,168,169,179,182,184,186,191,196,197,211,213,215,217,219,
220,221,223,228,229,232,233,234,236,241,242,244,248,249,250,251,252,253,254,
258,259,261,264,356,359,360,397,398,401,402,405,407,416,431,433,437,441,449,
455,459,470,474,478,480,488,491,500,506,508,510,520,531,533,535,549,553,555,
557,558,562,741,771,775,785,788,802,803,810,833,856,858,859,878,892,895,907,
915,917,925,1091,1143,1156,1161,1166,1169,1192,1402],[1,2,3,4,9,12,13,14,15,
16,18,37,39,40,44,45,47,48,53,56,58,60,65,66,67,68,69,72,74,75,76,79,83,85,86,
89,129,134,138,139,147,150,153,154,157,168,169,179,182,184,186,191,196,198,
212,213,214,218,219,220,221,223,227,229,231,232,234,236,239,240,244,248,249,
250,251,252,253,254,257,258,261,264,357,359,361,396,397,401,402,405,407,416,
432,434,437,442,450,451,459,470,474,479,480,488,491,501,503,507,511,519,531,
533,534,549,553,555,556,559,561,741,770,774,784,791,802,804,811,832,856,858,
859,878,892,895,908,914,917,924,1090,1144,1155,1160,1166,1169,1191,1403],[1,2,
3,4,9,12,13,14,15,18,37,39,40,43,45,46,53,56,58,60,65,66,67,68,69,72,74,75,76,
79,82,85,89,128,134,137,139,147,150,153,154,157,168,184,185,191,196,198,212,
213,214,218,219,220,224,226,227,229,231,233,234,236,239,240,244,248,252,253,
254,255,258,260,263,357,359,361,396,398,405,406,416,432,434,437,442,450,454,
459,470,474,479,480,487,501,502,507,511,519,531,534,536,549,550,555,556,559,
561,739,771,772,784,786,801,804,811,832,856,857,859,878,892,893,908,914,916,
924,1087,1143,1155,1161,1168,1170,1191,1404],[1,2,3,4,8,9,12,13,14,15,18,38,
39,40,43,45,46,53,56,58,61,65,66,67,68,69,71,74,76,79,82,85,89,128,134,137,
140,147,149,151,155,168,184,185,191,196,197,211,213,215,217,219,220,224,226,
228,229,232,234,236,241,242,244,248,252,253,254,259,260,263,356,359,360,397,
405,406,416,431,433,437,441,449,459,470,474,478,480,487,500,508,510,520,531,
535,536,549,550,555,557,558,562,739,770,785,801,803,810,833,856,857,859,878,
892,893,907,915,916,925,1086,1144,1156,1160,1168,1170,1192,1405],[1,2,3,4,8,9,
10,11,12,13,15,16,18,38,39,40,47,53,56,57,58,61,63,64,65,66,67,70,71,74,75,76,
77,78,79,87,88,134,135,140,144,147,149,151,155,168,169,171,173,176,177,179,
183,191,197,207,211,213,214,215,216,217,219,220,228,229,231,233,234,236,241,
242,246,250,251,253,255,258,259,262,265,355,356,360,396,398,399,400,401,408,
415,430,432,433,437,438,441,455,456,459,462,469,473,479,494,506,508,511,513,
520,531,532,535,538,554,556,558,562,567,744,747,758,761,776,777,787,788,797,
808,810,843,898,900,903,906,920,924,927,1106,1112,1151,1153,1164,1176,1187,
1406],[1,2,3,4,9,10,11,12,13,15,16,18,37,39,40,47,53,56,57,58,60,63,64,65,66,
67,70,72,74,75,76,77,78,79,87,88,134,135,139,144,147,150,153,154,157,168,169,
171,173,176,177,179,183,191,198,207,212,213,214,215,216,218,219,220,227,229,
231,232,234,236,239,240,246,250,251,254,255,256,258,262,265,355,357,361,396,
397,399,400,401,408,415,430,431,434,437,439,442,452,457,459,462,469,473,478,
494,504,507,510,513,519,531,532,534,538,554,557,559,561,567,745,747,759,761,
774,777,787,790,797,809,811,842,898,900,903,905,920,925,926,1105,1112,1152,
1154,1165,1175,1187,1407],[1,2,3,4,8,9,10,11,12,13,14,15,16,17,18,37,38,39,40,
45,47,49,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,71,72,73,74,75,76,79,
83,84,85,87,88,89,132,133,134,135,139,140,141,142,143,144,145,146,147,148,149,
150,151,152,153,154,155,156,157,158,168,169,170,171,175,177,178,179,180,181,
182,184,187,189,190,191,192,193,194,195,196,197,198,199,200,206,207,211,212,
213,214,215,216,217,218,219,220,227,228,229,230,231,232,233,234,235,236,239,
240,241,242,248,249,250,251,253,254,255,256,257,258,259,356,357,358,360,361,
362,364,366,367,373,375,376,377,380,381,385,386,392,395,398,399,401,410,412,
415,416,419,424,427,428,433,434,435,436,437,438,439,440,441,442,443,444,447,
448,449,450,451,452,453,454,455,456,457,458,459,462,475,476,478,479,480,490,
496,498,500,501,502,503,504,505,506,507,508,509,510,511,512,513,514,515,518,
519,520,521,530,531,532,534,535,543,547,548,549,551,552,555,556,557,558,559,
560,561,562,563,564,565,728,731,737,743,748,750,754,762,782,788,789,793,796,
805,806,807,810,811,812,813,814,815,816,817,818,819,820,821,825,832,833,841,
842,843,853,860,861,862,863,864,868,869,870,871,872,884,897,911,914,915,919,
926,927,1081,1118,1119,1121,1146,1149,1150,1158,1177,1178,1182,1189,1193,1195,
1408],[1,2,3,4,8,9,10,11,13,15,18,38,39,40,41,42,53,56,57,61,65,66,67,70,71,
74,76,79,87,88,134,135,136,140,147,149,151,155,171,176,191,197,207,211,213,
214,215,217,219,220,222,225,228,229,231,234,236,241,242,246,253,259,355,356,
360,394,396,399,408,415,432,433,437,438,441,456,462,469,473,479,508,511,520,
531,532,535,537,556,558,562,566,729,745,747,758,761,808,810,843,898,900,906,
910,923,924,927,1083,1085,1147,1152,1153,1165,1176,1409],[1,2,3,4,9,10,11,13,
15,18,37,39,40,41,42,53,56,57,60,65,66,67,70,72,74,75,76,79,87,88,134,135,136,
139,147,150,153,154,157,171,176,191,198,207,212,213,214,215,216,218,219,220,
222,225,227,229,232,233,234,236,239,240,246,254,258,355,357,361,394,397,398,
399,408,415,431,434,437,439,440,442,457,458,462,469,473,478,507,510,519,531,
532,534,537,557,559,561,566,729,744,746,747,759,760,761,809,811,842,898,900,
905,910,923,925,926,1084,1085,1147,1151,1154,1164,1175,1410],[1,2,3,4,8,9,10,
11,12,13,14,15,16,17,18,37,38,39,40,45,46,47,48,49,51,52,53,54,55,56,57,58,59,
60,61,62,65,66,67,71,72,73,74,75,76,77,78,79,80,81,82,84,86,128,129,131,132,
133,134,135,141,142,145,146,147,154,155,156,157,158,168,169,170,171,175,177,
178,179,180,181,183,184,185,186,187,188,191,192,193,194,201,202,204,205,211,
212,213,214,215,216,217,218,219,220,227,228,229,230,231,232,233,234,235,236,
239,240,241,242,248,250,252,253,254,255,256,257,258,259,363,364,373,376,377,
383,384,385,387,388,396,397,398,399,404,410,414,417,418,423,427,431,432,433,
434,435,436,437,438,439,440,443,444,447,448,449,450,451,452,453,454,455,456,
457,458,459,462,469,470,475,476,477,478,479,480,481,482,487,488,500,501,502,
503,504,505,506,507,508,509,510,511,512,513,530,531,532,541,547,548,549,556,
557,558,559,560,565,735,736,737,743,748,749,750,751,752,753,764,792,793,813,
814,817,818,819,825,826,827,834,835,836,837,838,839,853,860,861,862,868,869,
872,876,877,884,897,905,906,907,908,912,913,914,915,924,925,926,927,1094,1104,
1126,1133,1146,1158,1159,1162,1174,1179,1184,1189,1193,1194,1195,1411],[1,2,3,
5,7,9,13,14,20,22,39,45,56,79,90,100,122,147,184,266,292,297,307,323,359,603,
935,953,960,1412],[1,2,3,5,7,8,9,13,20,22,24,37,38,39,55,65,66,79,90,96,97,99,
100,101,118,133,146,211,212,227,228,230,266,292,297,306,307,308,311,313,314,
329,331,436,569,570,585,602,608,613,614,654,656,663,700,701,702,703,935,945,
963,1038,1209,1214,1215,1413],[1,2,3,4,5,7,8,9,13,15,18,20,22,24,28,29,38,39,
53,55,60,61,71,72,73,76,79,90,96,97,99,100,101,104,105,116,118,146,150,151,
156,192,197,198,266,292,297,302,303,307,308,311,315,316,317,329,331,341,342,
345,362,569,570,585,602,604,605,608,650,651,656,664,665,682,704,935,945,956,
1014,1207,1208,1209,1414],[1,2,4,5,7,9,15,20,22,28,37,39,40,60,65,67,76,90,97,
98,100,104,139,150,218,219,227,229,239,266,292,297,306,307,312,314,317,334,
342,442,568,570,605,613,615,618,651,657,675,678,688,695,701,929,935,965,1033,
1208,1214,1216,1415],[1,2,4,5,7,8,9,15,20,22,29,38,39,40,61,66,67,76,90,96,97,
98,99,100,105,140,151,217,220,228,229,241,266,292,297,307,308,311,312,313,315,
334,341,343,441,568,569,604,614,615,618,650,658,675,677,686,696,700,928,935,
966,1032,1207,1215,1216,1416],[1,2,4,5,6,7,9,15,20,21,22,27,28,31,32,33,37,39,
40,60,65,67,76,91,97,98,100,104,107,108,121,139,150,218,219,227,229,239,267,
276,282,293,295,305,306,307,312,314,317,334,342,442,572,577,579,616,627,636,
642,651,657,675,678,688,695,701,934,938,972,1033,1210,1213,1217,1417],[1,2,3,
4,5,6,7,8,9,13,15,18,20,21,22,23,24,25,26,28,29,31,32,33,34,35,37,38,53,55,67,
73,76,91,99,100,104,105,107,108,109,110,111,112,114,116,117,118,119,120,133,
192,217,218,235,267,269,271,273,276,293,295,306,308,315,316,317,329,333,334,
345,346,348,530,579,581,583,584,586,620,622,636,638,642,654,684,686,687,688,
693,704,934,948,1022,1023,1047,1211,1217,1218,1418],[1,2,3,4,5,6,7,10,11,13,
15,18,20,21,22,23,24,25,26,28,29,31,32,33,34,35,41,42,53,57,70,87,88,91,102,
103,104,105,107,108,109,110,111,112,114,116,117,118,119,120,136,207,222,225,
246,267,269,271,273,276,294,299,300,309,310,320,321,322,330,335,336,345,346,
348,537,579,581,583,584,586,619,624,626,644,645,646,647,655,689,690,691,692,
694,705,936,948,1024,1025,1027,1048,1212,1220,1221,1419],[1,2,3,4,5,6,7,9,13,
15,18,20,21,22,24,27,28,29,30,31,32,34,35,37,40,53,60,66,67,72,76,79,91,97,
100,104,105,106,108,110,113,115,116,118,121,139,198,212,213,218,220,240,267,
271,273,277,282,293,295,303,306,312,313,315,331,333,342,345,347,534,573,577,
581,590,592,627,633,638,642,657,665,679,687,696,697,702,934,941,1020,1040,
1210,1218,1222,1420],[1,2,4,5,6,7,8,9,15,20,21,22,29,31,32,34,35,37,39,61,65,
67,75,76,91,96,98,100,101,105,108,110,148,151,216,218,227,242,257,267,271,273,
293,295,306,307,314,315,318,333,341,344,564,571,572,581,610,616,638,642,650,
652,676,680,685,687,701,934,944,989,1050,1206,1213,1218,1421],[1,2,4,5,7,8,9,
15,20,22,28,29,34,35,38,39,60,61,66,67,73,75,76,90,96,97,99,100,104,105,110,
150,152,216,217,228,240,256,266,270,272,292,297,307,308,313,316,317,318,333,
341,342,343,563,569,570,580,605,614,632,639,651,653,679,681,684,685,700,935,
943,984,1049,1208,1215,1219,1422],[1,2,4,5,7,8,9,15,20,22,29,34,35,37,39,61,
65,67,75,76,90,96,97,99,100,105,110,148,151,216,218,227,242,257,266,270,272,
292,297,306,307,314,315,318,333,341,343,564,569,570,580,604,613,632,639,650,
652,676,680,685,687,701,935,943,986,1050,1207,1214,1219,1423],[1,2,3,4,5,6,7,
8,9,13,15,20,21,22,23,24,25,26,27,28,29,37,38,40,55,60,61,71,72,73,75,91,96,
97,99,100,101,104,105,118,119,120,121,133,139,140,148,152,156,158,267,269,282,
293,295,302,303,306,308,311,312,316,318,329,332,341,342,343,358,571,577,586,
610,620,622,627,652,653,654,657,658,682,683,934,946,996,1013,1206,1210,1211,
1424],[1,2,3,4,5,6,7,8,9,13,15,18,20,21,22,24,28,29,30,31,32,33,37,53,61,66,
67,71,75,76,79,91,96,100,101,104,105,106,107,108,116,118,148,197,212,218,241,
255,256,267,276,277,293,295,302,306,313,317,318,319,331,334,341,345,521,571,
573,579,610,633,636,642,652,664,677,681,688,702,706,934,937,1008,1035,1206,
1217,1222,1425],[1,2,3,5,6,7,8,9,13,20,21,22,23,24,25,26,30,37,38,39,55,65,66,
79,91,98,99,100,106,118,119,120,133,146,211,212,227,228,230,267,269,277,293,
295,304,306,307,308,313,314,329,331,436,572,573,586,616,620,622,633,654,656,
663,700,701,702,703,934,947,970,1038,1211,1213,1222,1426],[1,2,3,4,5,7,8,9,13,
15,20,22,24,29,34,35,39,40,55,61,67,72,75,79,90,97,98,99,100,101,105,110,118,
146,158,213,216,229,235,255,266,270,272,292,297,303,307,312,318,329,331,333,
334,343,344,560,568,580,585,602,608,615,618,632,639,656,675,683,685,693,697,
706,935,939,983,990,1036,1209,1216,1219,1427],[1,2,3,4,5,7,8,9,13,15,18,20,22,
26,27,29,30,33,34,35,38,40,53,61,65,67,71,76,79,90,96,97,98,99,100,101,105,
106,107,110,112,113,115,117,120,121,140,197,211,213,217,219,242,266,270,272,
278,283,304,305,308,311,312,319,332,341,343,344,346,347,535,568,569,570,574,
576,580,585,591,593,658,666,928,929,930,931,932,933,939,940,943,945,949,1202,
1203,1204,1205,1223,1224,1225,1428],[1,2,3,9,10,11,13,19,39,40,56,57,67,79,94,
134,135,147,171,176,213,229,234,288,355,399,408,437,462,761,1227,1429],[1,2,3,
4,9,12,13,15,16,19,39,47,56,58,67,75,79,94,95,135,147,168,177,216,234,251,255,
289,355,399,400,459,513,787,1227,1430],[1,2,3,8,9,13,14,19,39,45,55,56,79,94,
135,141,146,147,184,290,355,359,373,726,1227,1431],[1,3,4,5,6,7,18,23,24,25,
26,27,28,29,30,31,32,33,34,35,90,91,92,93,109,113,114,115,116,117,269,272,273,
274,275,276,277,278,279,280,281,282,283,284,285,349,350,351,584,589,590,591,
594,595,708,710,714,715,716,717,719,951,1062,1064,1228,1231,1233,1432],[1,3,4,
5,6,7,18,23,24,25,26,27,28,29,30,31,32,33,34,35,90,91,92,93,111,112,113,114,
115,116,269,270,271,274,275,276,277,278,279,280,281,282,283,284,286,349,350,
351,583,588,589,592,593,595,707,710,714,715,716,717,718,951,1062,1065,1228,
1232,1234,1433],[1,3,4,5,6,7,18,23,24,25,26,27,28,29,30,31,32,33,35,90,91,92,
93,111,112,114,115,116,269,270,271,274,276,277,278,279,280,281,282,283,284,
285,349,350,351,583,588,592,593,595,707,709,714,715,717,719,951,1060,1065,
1229,1232,1233,1434],[1,3,4,5,6,7,18,23,24,25,26,27,28,29,30,31,32,33,34,90,
91,92,93,109,113,114,116,117,269,272,273,275,276,277,278,279,280,281,282,283,
284,286,349,350,351,584,589,590,591,594,708,709,714,715,716,718,951,1061,1064,
1229,1231,1234,1435],[1,2,4,5,6,7,15,20,21,22,27,28,31,32,33,34,35,90,91,92,
93,104,107,108,110,121,266,267,268,274,275,276,281,282,283,284,285,286,287,
349,350,351,576,577,578,579,582,587,711,712,713,714,716,717,718,719,951,1063,
1066,1067,1230,1233,1234,1436],[1,2,4,5,6,7,15,20,21,22,27,29,31,32,34,35,90,
91,92,93,105,108,110,121,266,267,268,270,271,272,273,274,275,281,284,287,349,
350,351,578,580,581,582,707,708,711,712,713,716,717,951,1054,1066,1230,1231,
1232,1437],[1,2,3,5,6,7,13,20,21,22,23,24,25,26,30,90,91,92,93,106,118,119,
120,266,267,268,269,277,278,279,280,287,349,350,351,573,574,575,586,709,710,
711,712,713,715,951,1053,1059,1228,1229,1230,1438],[1,2,3,7,12,13,14,22,30,36,
45,58,82,106,122,124,185,291,323,339,601,671,1235,1439],[1,3,4,7,12,14,18,27,
30,35,36,69,82,89,115,122,126,260,291,339,600,1235,1440],[1,3,4,7,12,14,18,27,
30,34,36,68,82,89,113,122,125,263,291,339,599,1235,1441],[1,2,4,7,15,17,22,27,
36,49,50,121,123,124,130,291,325,327,601,661,720,1068,1237,1442],[1,2,3,7,13,
14,22,26,36,45,46,120,122,124,128,291,323,324,601,659,721,1069,1236,1443],[1,
2,7,9,22,36,39,40,67,98,124,229,291,296,297,601,617,618,1444],[1,2,5,7,9,19,
20,22,39,90,94,97,100,127,266,288,292,297,307,353,570,724,935,1070,1445],[1,2,
5,6,7,9,19,20,21,22,37,91,94,98,100,127,267,288,293,295,306,353,572,724,934,
1071,1446],[1,2,3,4,5,8,9,10,11,13,15,20,24,28,38,39,40,41,42,56,57,61,66,71,
74,96,104,118,134,135,136,140,149,155,171,176,214,228,231,292,299,302,356,394,
396,408,438,456,614,621,624,631,729,745,758,967,1083,1238,1447],[1,2,3,4,5,9,
10,11,13,15,20,24,29,37,39,40,41,42,56,57,60,65,67,72,74,75,97,105,118,134,
135,136,139,153,154,157,171,176,215,216,227,229,232,233,292,299,303,357,394,
397,398,408,439,440,457,458,613,615,621,624,630,632,729,744,746,759,760,968,
969,1084,1238,1448],[1,2,3,7,9,10,11,13,22,26,30,39,40,41,42,56,57,67,79,98,
106,120,134,135,136,147,171,176,213,229,234,296,300,304,355,394,399,408,437,
462,617,623,626,634,729,747,761,971,1085,1240,1449],[1,2,3,4,5,8,9,10,11,12,
13,14,15,16,20,24,39,40,41,42,45,47,55,56,57,58,59,60,61,62,63,64,72,75,76,77,
78,79,80,81,99,100,118,134,135,136,141,142,144,145,146,147,150,151,157,158,
161,162,166,168,169,171,173,175,176,177,179,181,183,184,188,250,251,252,292,
299,329,373,375,377,382,393,394,400,401,404,405,408,410,412,413,418,429,430,
494,495,497,499,538,542,546,602,603,604,605,621,624,729,778,780,783,797,799,
883,1009,1010,1028,1078,1238,1450],[1,2,3,4,6,8,9,10,11,12,13,14,15,16,21,23,
25,37,38,41,42,43,44,45,47,55,56,57,58,59,60,61,62,63,64,71,72,73,74,77,78,80,
81,82,83,84,86,102,103,119,133,136,137,138,141,142,144,145,154,155,156,159,
160,161,162,163,164,165,166,167,168,169,170,171,173,175,176,178,180,182,183,
185,186,187,188,248,249,250,251,252,293,294,298,330,374,376,378,379,382,393,
394,395,402,403,406,407,409,410,412,420,423,427,428,429,430,494,495,496,497,
498,499,539,540,541,543,544,545,606,607,611,612,619,620,625,730,779,781,782,
783,798,800,881,882,1011,1012,1029,1030,1079,1239,1451],[1,2,3,4,5,8,9,13,14,
15,16,18,20,24,28,29,37,38,39,45,47,52,53,54,55,56,60,61,65,66,71,72,73,74,76,
79,96,97,99,100,104,105,116,118,132,133,135,141,142,146,147,150,151,154,155,
156,178,179,180,184,191,192,197,198,211,212,214,215,227,228,230,231,232,236,
253,254,292,302,303,307,311,315,316,317,329,331,341,342,345,355,359,360,361,
362,373,375,376,385,386,431,432,436,438,439,444,500,501,510,511,512,532,549,
558,559,602,603,613,614,621,630,631,650,651,656,664,665,682,704,726,731,736,
803,804,808,809,814,860,953,963,967,968,981,982,995,998,1000,1001,1009,1014,
1017,1080,1246,1247,1248,1268,1308,1314,1315,1452],[1,2,3,4,7,8,9,12,13,14,15,
16,22,30,33,39,45,46,47,48,55,56,58,71,72,79,82,86,101,106,107,122,128,129,
135,141,146,147,169,170,180,181,184,185,186,248,250,252,297,319,323,339,340,
355,359,373,383,404,417,427,487,488,541,555,608,670,671,698,726,764,796,801,
802,960,1041,1082,1242,1243,1244,1453],[1,2,3,4,5,9,10,11,13,15,18,20,24,28,
29,39,40,41,42,53,56,57,65,66,70,74,76,87,88,104,105,116,118,134,135,136,171,
176,191,207,214,215,219,220,222,225,236,246,292,299,345,394,408,415,469,473,
531,532,537,566,621,624,630,631,646,729,898,900,910,923,1017,1025,1147,1238,
1454],[1,2,3,4,6,8,9,10,11,12,13,15,18,21,23,25,31,32,37,38,41,42,43,44,53,55,
57,58,67,68,69,70,73,76,85,87,88,89,108,109,111,114,119,133,136,137,138,170,
173,175,192,196,207,217,218,221,222,223,224,225,226,235,244,246,293,294,298,
348,393,395,409,424,471,472,475,530,533,536,537,565,567,619,620,625,640,641,
642,647,730,899,901,909,911,921,922,1018,1023,1024,1148,1239,1455],[1,2,3,4,7,
9,10,11,13,15,18,22,26,33,34,35,39,40,41,42,53,56,57,65,66,70,74,76,87,88,107,
110,112,117,120,134,135,136,171,176,191,207,214,215,219,220,222,225,236,246,
296,300,346,394,408,415,469,473,531,532,537,566,623,626,635,637,644,645,729,
898,900,910,923,1021,1027,1147,1240,1456],[1,2,3,4,7,8,9,10,11,12,13,15,18,22,
26,33,34,35,37,38,41,42,43,44,53,55,57,58,67,68,69,70,73,76,85,87,88,89,107,
110,112,117,120,133,136,137,138,170,173,175,192,196,207,217,218,221,222,223,
224,225,226,235,244,246,295,300,301,346,393,395,409,424,471,472,475,530,533,
536,537,565,567,622,626,629,636,638,643,644,645,648,730,899,901,909,911,921,
922,1022,1026,1027,1148,1241,1457],[1,2,3,5,9,10,11,13,20,24,39,40,41,42,56,
57,67,79,100,118,134,135,136,147,171,176,213,229,234,292,299,331,355,394,399,
408,437,462,603,621,624,729,747,761,995,1085,1238,1458],[1,2,3,4,7,8,9,10,11,
13,15,22,26,27,38,39,40,41,42,56,57,61,66,71,74,101,120,121,134,135,136,140,
149,155,171,176,214,228,231,296,300,332,356,394,396,408,438,456,609,623,626,
628,729,745,758,997,1083,1240,1459],[1,2,3,4,5,8,9,13,14,15,16,17,18,20,24,28,
29,37,38,39,40,45,47,49,52,53,54,55,56,60,61,65,66,67,71,72,73,74,75,76,79,96,
97,99,100,104,105,118,132,133,134,135,139,140,141,142,143,146,147,148,149,150,
151,152,153,154,155,156,157,158,177,178,179,180,181,184,189,190,191,192,193,
194,197,198,211,212,213,214,215,216,217,218,219,220,227,228,229,230,231,232,
233,234,235,236,239,240,241,242,253,254,255,256,257,258,259,292,302,303,306,
308,311,312,316,318,329,341,342,343,356,357,358,360,361,362,364,366,367,373,
375,376,377,380,381,385,386,433,434,435,436,437,438,439,440,441,442,443,444,
447,448,500,501,502,503,504,505,506,507,508,509,512,513,514,515,518,519,520,
521,530,531,534,535,547,548,551,552,558,559,560,561,562,563,564,602,603,604,
605,613,614,615,621,630,631,632,652,653,654,657,658,682,683,728,731,737,805,
806,807,810,811,812,813,814,815,816,861,862,863,864,954,955,956,963,964,965,
966,967,968,969,981,982,983,984,985,986,987,998,999,1002,1003,1009,1010,1013,
1081,1249,1250,1251,1255,1256,1257,1267,1268,1269,1270,1282,1460],[1,2,3,4,5,
8,9,12,13,15,16,17,18,20,24,28,29,37,38,39,47,49,53,56,58,60,61,65,66,67,71,
72,73,74,75,76,79,85,89,97,99,100,104,105,116,118,135,147,148,150,151,152,154,
155,168,177,189,190,191,194,196,197,198,211,212,214,215,216,217,218,227,228,
231,232,234,236,239,240,241,242,251,253,254,255,256,257,258,259,292,303,308,
314,315,316,318,331,334,342,343,345,355,360,361,366,399,400,416,431,432,433,
434,438,439,449,450,459,470,477,478,479,507,508,510,511,513,514,515,518,521,
532,547,551,552,556,557,558,559,563,564,603,604,613,621,630,631,632,653,665,
678,680,686,703,706,787,805,806,808,809,832,833,855,874,907,908,912,913,926,
927,954,968,974,979,982,986,995,999,1001,1002,1017,1034,1157,1249,1273,1290,
1300,1311,1313,1315,1461],[1,2,3,4,5,8,9,12,13,15,16,17,18,20,24,28,29,37,38,
39,47,49,53,56,58,60,61,65,66,67,71,72,73,74,75,76,79,85,89,96,100,104,105,
116,118,135,147,148,150,151,152,154,155,168,177,189,190,191,194,196,197,198,
211,212,214,215,216,217,218,227,228,231,232,234,236,239,240,241,242,251,253,
254,255,256,257,258,259,292,302,306,313,317,318,331,334,341,345,355,360,361,
366,399,400,416,431,432,433,434,438,439,449,450,459,470,477,478,479,507,508,
510,511,513,514,515,518,521,532,547,551,552,556,557,558,559,563,564,603,605,
614,621,630,631,632,652,664,677,681,688,702,706,787,805,806,808,809,832,833,
855,874,907,908,912,913,926,927,955,967,974,980,981,984,995,999,1000,1003,
1017,1035,1157,1250,1274,1291,1299,1311,1312,1314,1462],[1,2,3,4,5,9,10,11,13,
15,18,20,24,28,29,37,39,40,53,56,57,60,65,66,67,72,74,75,76,79,87,88,97,100,
104,105,116,118,134,135,139,147,150,153,154,157,171,176,191,198,207,212,213,
214,215,218,219,220,227,229,232,234,236,239,240,254,258,292,303,306,312,313,
315,331,333,342,345,355,357,361,397,399,408,415,431,434,437,439,442,457,462,
469,478,507,510,519,531,532,534,557,559,561,603,605,613,615,621,630,631,657,
665,679,687,696,697,702,759,761,809,811,842,900,905,925,926,955,964,965,968,
975,980,982,987,995,1001,1017,1040,1175,1256,1275,1293,1302,1312,1315,1318,
1463],[1,2,3,4,5,8,9,10,11,13,15,18,20,24,28,29,38,39,40,53,56,57,61,65,66,67,
71,74,76,79,87,88,96,97,99,100,104,105,116,118,134,135,140,147,149,151,155,
171,176,191,197,207,211,213,214,215,217,219,220,228,229,231,234,236,241,242,
253,259,292,302,308,311,312,314,317,331,333,341,343,345,355,356,360,396,399,
408,415,432,433,437,438,441,456,462,469,479,508,511,520,531,532,535,556,558,
562,603,604,614,615,621,630,631,658,664,676,684,695,697,703,758,761,808,810,
843,900,906,924,927,954,964,966,967,975,979,981,985,995,1000,1017,1039,1176,
1255,1276,1292,1301,1313,1314,1318,1464],[1,2,3,4,7,9,12,13,14,15,18,22,26,33,
34,35,40,43,45,46,53,56,58,65,66,68,69,74,76,79,82,85,89,107,110,112,117,120,
122,128,134,137,168,184,185,191,196,219,220,224,226,236,244,248,252,253,254,
260,263,296,301,323,324,346,405,406,416,470,474,487,531,536,549,550,623,629,
635,637,643,648,659,739,856,857,892,893,1021,1026,1168,1271,1465],[1,2,3,4,7,
8,9,13,14,15,16,17,22,26,27,37,38,40,45,46,47,48,49,50,51,55,56,60,61,71,72,
73,74,75,101,120,121,122,123,128,129,130,131,133,134,139,140,141,142,143,148,
149,152,153,154,155,156,157,158,177,178,180,181,189,190,193,194,295,296,323,
324,325,326,327,328,332,356,357,358,363,364,365,366,367,376,377,380,381,383,
384,389,609,610,622,623,627,628,659,660,661,662,698,699,727,728,734,735,961,
996,997,1051,1052,1077,1245,1296,1297,1466],[1,2,3,4,5,8,9,13,14,15,16,18,20,
24,37,38,39,45,47,52,53,54,55,56,60,61,65,66,71,72,73,74,76,79,99,100,118,132,
133,135,141,142,146,147,150,151,154,155,156,178,179,180,184,191,192,197,198,
211,212,214,215,227,228,230,231,232,236,253,254,292,306,307,308,313,314,329,
331,355,359,360,361,362,373,375,376,385,386,431,432,436,438,439,444,500,501,
510,511,512,532,549,558,559,602,603,604,605,621,654,656,663,700,701,702,703,
726,731,736,803,804,808,809,814,860,953,954,955,956,979,980,995,1009,1010,
1038,1080,1246,1282,1284,1288,1289,1312,1313,1467],[1,2,3,7,9,12,13,14,22,26,
30,39,40,43,45,46,56,58,67,79,82,98,106,120,122,128,134,137,147,168,184,185,
213,229,234,248,252,296,301,304,323,324,339,359,405,406,437,459,480,487,555,
617,623,629,634,659,667,671,739,801,859,878,916,971,1043,1170,1271,1468],[1,2,
3,4,7,8,9,12,13,14,15,22,26,27,38,40,43,45,46,56,58,61,65,71,74,79,82,101,120,
121,122,128,134,137,140,149,155,168,184,185,211,232,248,252,254,296,301,323,
324,332,356,397,405,406,449,487,500,609,623,628,629,659,739,770,785,997,1086,
1271,1469],[1,2,3,4,7,8,9,12,13,15,16,17,22,26,27,38,40,43,47,49,51,56,58,61,
67,71,74,76,84,101,120,121,123,131,134,137,140,149,155,169,179,187,217,233,
249,250,251,258,296,301,325,328,332,356,398,401,403,455,493,506,609,623,628,
629,662,740,773,788,997,1088,1272,1470],[1,2,3,4,5,8,9,10,11,13,14,15,16,17,
18,20,28,29,37,38,39,45,47,49,53,56,57,60,61,65,66,67,71,72,73,74,75,76,79,80,
81,87,88,97,99,100,104,105,147,148,150,151,152,154,155,171,177,184,188,189,
190,191,194,197,198,207,211,212,214,215,216,217,218,227,228,231,232,234,236,
239,240,241,242,253,254,255,256,257,258,259,292,307,308,313,316,317,318,333,
342,343,359,360,361,366,413,415,431,432,433,434,456,457,462,469,477,478,479,
480,500,501,507,508,510,511,513,514,515,518,521,547,549,551,552,556,557,558,
559,563,564,603,604,613,631,632,651,653,679,681,684,685,700,803,804,805,806,
830,842,843,844,879,905,906,912,913,914,915,953,954,975,980,982,986,999,1000,
1002,1049,1199,1247,1249,1276,1277,1288,1291,1302,1471],[1,2,3,4,5,8,9,10,11,
13,14,15,16,17,18,20,29,37,38,39,45,47,49,53,56,57,60,61,65,66,67,71,72,73,74,
75,76,79,80,81,87,88,96,100,105,147,148,150,151,152,154,155,171,177,184,188,
189,190,191,194,197,198,207,211,212,214,215,216,217,218,227,228,231,232,234,
236,239,240,241,242,253,254,255,256,257,258,259,292,306,307,314,315,318,333,
341,359,360,361,366,413,415,431,432,433,434,456,457,462,469,477,478,479,480,
500,501,507,508,510,511,513,514,515,518,521,547,549,551,552,556,557,558,559,
563,564,603,605,614,630,632,650,652,676,680,685,687,701,803,804,805,806,830,
842,843,844,879,905,906,912,913,914,915,953,955,975,979,981,984,999,1001,1003,
1050,1199,1248,1250,1275,1277,1289,1290,1301,1472],[1,2,3,4,5,8,9,10,11,12,13,
14,15,16,20,24,29,39,40,45,47,55,56,57,58,59,60,61,62,67,72,75,79,80,81,97,99,
100,105,118,134,135,141,142,145,146,147,157,158,168,171,175,176,177,181,184,
188,213,216,229,233,234,235,251,252,255,292,303,307,312,318,329,331,333,334,
343,355,359,373,377,399,400,405,408,410,413,437,440,443,459,462,480,499,502,
513,546,560,602,603,615,621,632,656,675,683,685,693,697,706,726,748,761,778,
787,813,819,844,878,953,964,969,974,975,983,995,999,1009,1036,1117,1246,1267,
1277,1306,1310,1311,1318,1473],[1,2,3,4,7,8,9,10,11,12,13,14,15,16,17,22,34,
35,37,39,40,45,47,49,55,56,57,58,60,61,63,64,65,67,72,74,75,76,77,78,80,81,98,
101,110,122,123,134,135,139,141,142,143,144,148,149,150,151,153,154,157,158,
169,171,175,176,177,179,181,183,188,190,193,215,216,218,219,227,229,232,233,
239,242,250,251,252,257,259,295,296,323,325,337,338,344,357,363,365,375,377,
380,397,398,401,404,408,412,418,439,440,442,448,451,453,457,458,481,495,499,
503,505,514,538,542,562,564,609,610,616,617,637,638,667,668,698,699,727,751,
759,760,780,789,791,816,821,837,877,961,988,989,1037,1115,1245,1259,1261,
1474],[1,2,3,4,7,8,9,10,11,12,13,14,15,16,22,34,35,39,40,45,47,55,56,57,58,59,
60,61,62,67,72,75,79,80,81,98,101,110,122,134,135,141,142,145,146,147,157,158,
168,171,175,176,177,181,184,188,213,216,229,233,234,235,251,252,255,297,323,
337,338,344,355,359,373,377,399,400,405,408,410,413,437,440,443,459,462,480,
499,502,513,546,560,608,618,639,667,668,698,726,748,761,778,787,813,819,844,
878,960,990,1037,1117,1244,1258,1263,1475],[1,2,3,4,5,8,9,10,11,12,13,14,15,
16,20,24,28,29,37,38,39,45,47,55,56,57,58,59,60,61,62,65,66,67,71,72,73,74,79,
96,97,99,100,104,105,118,133,135,141,142,145,146,147,154,155,156,168,171,175,
178,180,184,211,212,214,215,227,228,230,231,232,233,234,235,236,239,240,241,
242,253,254,292,302,303,311,313,314,316,329,333,334,341,342,373,376,410,431,
432,433,434,435,436,438,439,443,444,447,448,449,450,456,457,459,462,469,470,
500,501,512,556,557,558,559,602,603,613,614,621,630,631,663,676,677,678,679,
682,693,736,737,792,814,818,819,897,905,906,907,908,963,967,968,974,975,979,
980,981,982,998,1009,1031,1174,1268,1284,1299,1300,1301,1302,1306,1476],[1,2,
3,4,7,8,9,10,11,12,13,14,15,16,17,18,22,27,30,34,35,37,38,40,45,47,48,49,50,
51,52,53,54,55,56,57,58,60,61,63,64,65,66,67,71,72,73,74,75,76,77,78,79,80,81,
82,83,84,86,106,110,113,115,121,122,123,129,130,131,132,139,140,142,143,144,
148,149,152,153,154,155,156,157,158,169,171,175,177,178,179,180,181,182,183,
184,185,186,187,188,189,190,193,194,197,198,203,208,209,210,211,212,213,217,
218,219,220,231,232,233,239,240,241,242,253,254,255,256,257,258,259,295,296,
323,325,326,327,337,338,339,347,363,364,365,366,367,380,381,384,386,389,390,
391,412,413,417,418,419,420,423,447,448,451,452,453,455,456,457,458,476,477,
481,482,500,501,502,503,504,505,506,518,519,520,521,534,535,551,552,627,628,
633,634,637,638,660,661,668,671,672,674,734,757,820,821,826,830,831,834,835,
836,837,840,841,863,864,961,1019,1020,1046,1183,1261,1264,1297,1477],[1,2,3,4,
7,8,9,10,11,12,13,14,15,16,17,18,22,26,33,34,35,37,38,40,45,46,47,48,49,51,52,
53,54,55,56,57,58,59,60,61,62,65,66,67,71,72,73,74,75,76,77,78,80,81,84,86,
107,110,112,117,120,122,123,128,129,131,132,133,134,141,142,145,154,155,156,
157,158,168,171,175,177,178,179,180,181,183,186,187,188,191,192,193,194,201,
202,204,205,217,218,219,220,230,231,232,233,234,235,236,256,257,258,259,295,
296,323,324,325,328,337,338,340,346,363,364,376,377,383,384,385,387,388,410,
414,418,423,443,444,449,450,454,456,457,458,481,482,503,504,505,506,507,508,
509,530,531,547,548,622,623,635,636,637,638,659,662,668,669,670,673,735,753,
817,818,827,836,837,838,839,861,862,961,1021,1022,1045,1184,1261,1262,1296,
1478],[1,2,3,4,7,10,11,12,13,14,15,16,17,18,22,26,33,34,35,41,42,43,45,46,47,
49,51,52,53,54,57,58,59,62,63,64,68,69,70,77,78,80,81,83,85,86,87,88,89,107,
110,112,117,120,122,123,128,131,132,136,137,144,145,161,162,163,166,167,172,
174,182,183,186,188,195,196,199,200,201,203,204,206,207,208,222,224,225,226,
237,238,243,244,245,246,247,261,262,264,265,300,301,323,324,325,328,337,338,
340,346,369,372,379,382,388,390,392,411,421,426,445,446,460,461,463,464,465,
468,483,485,522,523,524,525,526,527,528,536,537,553,554,626,629,643,644,645,
648,659,662,668,669,670,673,733,755,822,824,829,849,850,851,852,865,866,962,
1026,1027,1045,1185,1265,1266,1298,1479],[1,2,3,7,9,12,13,14,22,26,30,39,40,
43,45,46,56,58,67,79,82,98,106,120,122,128,134,137,147,168,184,185,213,229,
234,248,252,297,304,323,324,339,359,405,406,437,459,480,487,555,618,659,667,
671,739,801,859,878,916,960,1043,1170,1242,1258,1285,1480],[1,2,3,4,7,9,12,13,
14,15,16,22,27,33,39,40,44,45,47,48,56,58,67,76,79,83,86,98,107,121,122,129,
134,138,147,168,169,179,182,184,186,213,229,234,248,249,250,251,252,297,305,
323,326,340,359,401,402,405,407,437,459,480,488,491,555,618,660,667,670,741,
802,859,878,917,960,1042,1169,1243,1258,1286,1481],[1,2,3,4,7,8,9,12,13,14,15,
16,17,18,22,30,33,37,40,45,47,49,52,53,54,55,56,58,60,61,66,67,71,72,74,75,76,
79,82,84,86,101,106,107,122,123,132,134,139,141,142,143,148,149,153,154,157,
158,168,169,170,177,179,180,181,184,185,186,187,190,193,197,198,212,213,218,
220,231,233,240,241,249,250,251,252,253,255,256,259,295,296,319,323,325,339,
340,357,363,365,377,380,386,396,398,401,405,414,417,428,447,450,452,453,454,
482,489,492,501,502,504,505,520,521,534,539,541,552,609,610,633,634,635,636,
670,671,698,699,727,752,765,784,786,789,790,835,838,864,871,961,1007,1008,
1041,1124,1245,1262,1264,1482],[1,2,3,4,5,8,9,13,14,15,16,18,20,24,28,29,39,
40,45,47,52,53,54,55,56,60,61,65,66,67,72,73,74,75,76,79,97,99,100,104,105,
116,118,132,134,135,141,142,146,147,157,158,177,178,179,181,184,191,192,213,
214,215,216,219,220,229,230,231,232,233,234,235,236,253,254,255,256,257,292,
303,312,313,314,315,316,317,318,329,343,345,373,377,385,396,397,431,432,437,
440,443,444,477,478,479,502,503,504,509,510,511,512,513,531,532,547,549,556,
557,560,602,603,615,621,630,631,632,663,680,681,683,695,696,704,736,749,813,
825,860,862,897,912,913,924,925,964,969,979,980,983,998,999,1000,1001,1009,
1017,1044,1159,1267,1284,1290,1291,1292,1293,1308,1483],[1,2,3,4,7,9,10,11,12,
13,14,15,16,18,22,27,33,43,45,47,48,52,53,54,56,57,58,59,62,63,64,68,69,70,75,
76,77,78,83,84,85,86,87,88,89,98,107,121,122,129,132,137,144,145,163,167,169,
172,173,174,176,177,179,182,183,186,187,195,196,199,200,202,205,206,207,224,
226,237,238,243,244,245,246,247,249,250,251,252,261,264,305,323,326,340,379,
387,392,403,411,419,422,425,429,445,446,465,468,484,486,491,492,526,527,528,
536,538,540,553,566,567,649,660,667,670,756,766,822,828,854,866,873,978,992,
1015,1042,1181,1260,1295,1304,1484],[1,2,3,4,7,9,10,11,12,13,14,15,16,18,22,
26,30,44,45,46,47,52,53,54,56,57,58,59,62,68,69,70,72,79,80,81,82,85,86,87,88,
89,98,106,120,122,128,132,138,145,159,160,169,172,173,174,176,181,184,185,186,
188,195,196,199,200,201,204,206,207,221,223,237,238,243,244,245,246,247,248,
249,251,252,260,263,304,323,324,339,374,388,392,407,411,417,421,426,429,445,
446,466,467,483,485,487,489,516,517,529,533,545,546,550,566,567,649,659,667,
671,755,768,823,829,854,867,873,978,994,1016,1043,1180,1260,1294,1303,1485],[
1,2,3,4,7,9,10,11,12,13,14,15,16,18,22,27,30,34,35,39,45,46,47,48,52,53,54,56,
57,58,59,62,63,64,67,75,79,80,81,82,84,86,106,110,113,115,121,122,128,129,132,
144,145,147,171,173,177,184,185,186,187,188,201,204,209,210,216,234,248,249,
250,252,255,297,323,326,337,338,339,347,359,388,391,413,462,480,487,488,492,
497,513,544,545,555,639,660,668,671,672,674,801,802,844,887,896,916,917,960,
1046,1200,1242,1263,1286,1486],[1,2,3,4,7,9,10,11,12,13,14,15,16,18,22,26,33,
34,35,39,45,46,47,48,52,53,54,56,57,58,59,62,63,64,67,75,79,80,81,82,84,86,
107,110,112,117,120,122,128,129,132,144,145,147,171,173,177,184,185,186,187,
188,201,204,209,210,216,234,248,249,250,252,255,297,323,324,337,338,340,346,
359,388,391,413,462,480,487,488,492,497,513,544,545,555,639,659,668,669,670,
673,801,802,844,887,896,916,917,960,1045,1200,1243,1263,1285,1487],[1,2,3,4,5,
8,9,10,11,12,13,14,15,16,18,20,24,28,29,37,38,39,45,47,52,53,54,55,56,57,58,
59,60,61,62,65,66,67,71,72,73,74,76,79,85,87,88,89,99,100,104,105,116,118,132,
133,135,141,142,145,146,147,150,151,154,155,156,168,171,175,178,179,180,184,
191,192,195,196,197,198,199,200,206,207,214,215,217,218,230,231,232,233,234,
235,236,253,254,258,259,292,306,308,315,316,317,329,333,334,345,360,361,362,
373,375,376,385,386,392,410,415,416,424,443,444,449,450,456,457,459,462,478,
479,505,506,507,508,510,511,512,530,532,548,549,602,603,604,605,621,630,631,
654,684,686,687,688,693,704,731,754,818,819,825,832,833,842,843,860,861,954,
955,956,974,975,998,1000,1001,1009,1010,1017,1047,1182,1273,1274,1275,1276,
1282,1306,1308,1488],[1,2,3,4,6,10,11,12,13,14,15,16,18,21,23,25,31,32,41,42,
44,45,47,48,52,53,54,57,58,59,62,63,64,68,69,70,77,78,80,81,82,84,85,87,88,89,
102,103,108,109,111,114,119,129,132,136,138,144,145,159,160,161,162,164,165,
166,172,174,183,185,187,188,195,196,199,200,202,205,206,207,209,210,221,222,
223,225,237,238,243,244,245,246,247,260,262,263,265,298,309,310,320,321,322,
330,335,336,348,368,370,371,374,378,382,387,391,392,411,422,425,445,446,460,
461,463,464,466,467,484,486,516,517,522,523,524,525,529,533,537,550,554,606,
607,611,612,625,640,641,655,689,690,691,692,694,705,732,756,823,824,828,845,
846,847,848,865,867,957,958,959,976,977,1004,1005,1006,1011,1012,1018,1048,
1186,1278,1279,1280,1281,1283,1307,1309,1489],[1,2,3,4,5,9,12,13,14,15,18,20,
28,37,39,40,45,53,56,58,60,65,66,67,72,74,75,76,79,85,89,97,100,104,134,139,
147,150,153,154,157,168,184,191,196,198,212,213,214,218,219,220,227,229,231,
234,236,239,240,252,253,254,258,292,306,307,312,314,317,334,342,357,359,361,
396,405,416,432,434,437,442,450,459,470,479,480,501,507,511,519,531,534,549,
556,559,561,603,605,613,615,631,651,657,675,678,688,695,701,784,804,811,832,
856,878,908,914,924,953,955,964,965,974,979,982,987,1000,1033,1155,1247,1256,
1274,1289,1292,1300,1310,1490],[1,2,3,4,5,8,9,12,13,14,15,18,20,29,38,39,40,
45,53,56,58,61,65,66,67,71,74,76,79,85,89,96,97,99,100,105,134,140,147,149,
151,155,168,184,191,196,197,211,213,215,217,219,220,228,229,232,234,236,241,
242,252,253,254,259,292,307,308,311,312,313,315,334,341,343,356,359,360,397,
405,416,431,433,437,441,449,459,470,478,480,500,508,510,520,531,535,549,557,
558,562,603,604,614,615,630,650,658,675,677,686,696,700,785,803,810,833,856,
878,907,915,925,953,954,964,966,974,980,981,985,1001,1032,1156,1248,1255,1273,
1288,1293,1299,1310,1491],[1,2,3,4,7,8,9,10,11,12,13,14,15,16,18,22,26,27,45,
46,47,48,52,53,54,55,56,57,58,59,62,71,72,73,74,76,77,78,80,81,84,85,86,87,88,
89,101,120,121,122,128,129,132,141,145,168,171,172,174,175,178,179,180,181,
183,186,187,188,191,192,195,196,199,200,201,202,204,205,206,207,323,324,326,
332,383,385,387,388,392,410,411,414,415,416,418,421,422,423,424,425,426,649,
659,660,698,738,753,754,755,756,978,1015,1016,1051,1093,1287,1294,1295,1492],[
1,2,3,4,7,8,9,12,13,14,15,16,17,22,27,33,37,38,39,40,45,47,48,49,50,51,55,56,
58,60,61,65,66,67,71,72,73,74,75,76,83,84,86,98,107,121,122,123,129,130,131,
135,139,140,142,143,148,149,150,151,152,153,154,155,156,157,158,168,169,170,
177,178,179,180,181,182,186,187,189,190,193,194,214,215,216,217,218,219,220,
227,228,229,231,232,233,239,240,241,242,249,250,251,252,256,257,258,259,295,
296,305,323,325,326,327,340,363,364,365,366,367,375,380,381,384,389,400,404,
414,419,428,438,439,440,441,442,447,448,449,450,451,452,453,454,455,476,477,
481,482,491,493,503,504,505,506,514,515,539,543,561,562,563,564,616,617,627,
628,635,636,660,661,667,670,734,763,815,816,826,838,839,840,841,870,871,874,
875,876,877,961,972,973,1042,1163,1259,1262,1297,1493],[1,2,3,4,7,8,9,12,13,
14,15,16,17,22,26,30,37,38,39,40,45,46,47,48,49,51,55,56,58,60,61,65,66,67,71,
72,73,74,75,79,82,86,98,106,120,122,123,128,129,131,133,134,135,141,142,146,
147,154,155,156,157,158,169,170,177,178,180,181,184,185,186,193,194,211,212,
213,214,215,216,227,228,229,230,231,232,233,234,235,236,248,250,252,253,254,
255,295,296,304,323,324,325,328,339,363,364,373,376,377,383,384,404,417,427,
436,437,438,439,440,443,444,451,452,453,455,481,482,487,488,500,501,502,512,
513,541,558,559,560,616,617,622,623,633,634,659,662,667,671,735,764,813,814,
827,834,835,868,869,876,877,961,970,971,1043,1162,1259,1264,1296,1494],[1,2,3,
4,7,8,9,10,11,12,13,14,15,16,22,34,35,41,42,45,47,55,56,57,58,59,60,61,62,63,
64,68,69,77,78,80,81,98,101,110,122,136,141,142,144,145,161,162,166,168,169,
171,172,173,174,175,176,183,188,237,238,243,244,250,251,252,323,337,338,344,
382,393,394,410,411,412,429,430,446,460,461,463,464,472,474,494,495,497,499,
649,667,668,698,738,783,795,824,854,978,991,993,1037,1103,1260,1287,1305,
1495],[1,2,3,4,7,8,9,12,13,14,15,16,22,26,27,39,45,46,47,48,55,56,58,71,72,79,
82,86,101,120,121,122,128,129,135,141,146,147,169,170,180,181,184,185,186,248,
250,252,297,323,324,326,332,355,359,373,383,404,417,427,487,488,541,555,608,
659,660,698,726,764,796,801,802,960,1051,1082,1244,1285,1286,1496],[1,2,3,4,7,
10,11,12,13,14,15,16,17,18,22,26,33,34,35,41,42,43,45,46,47,49,51,52,53,54,57,
58,59,62,63,64,68,69,70,77,78,80,81,83,85,86,87,88,89,107,110,112,117,120,122,
128,131,132,136,137,144,145,161,162,163,166,167,172,174,182,183,186,188,195,
196,199,200,201,203,204,206,207,208,222,224,225,226,237,238,243,244,245,246,
247,261,262,264,265,323,324,337,338,340,346,369,372,379,382,388,390,392,411,
421,426,445,446,460,461,463,464,465,468,483,485,522,523,524,525,526,527,528,
536,537,553,554,649,659,668,669,670,673,733,755,822,824,829,849,850,851,852,
865,866,978,991,992,993,1016,1045,1185,1294,1304,1305,1321,1322,1497],[1,2,3,
4,7,10,11,12,13,14,15,16,18,22,27,30,34,35,41,42,44,45,47,48,52,53,54,57,58,
59,62,63,64,68,69,70,77,78,80,81,82,84,85,87,88,89,106,110,113,115,121,122,
129,132,136,138,144,145,159,160,161,162,164,165,166,172,174,183,185,187,188,
195,196,199,200,202,205,206,207,209,210,221,222,223,225,237,238,243,244,245,
246,247,260,262,263,265,323,326,337,338,339,347,368,370,371,374,378,382,387,
391,392,411,422,425,445,446,460,461,463,464,466,467,484,486,516,517,522,523,
524,525,529,533,537,550,554,649,660,668,671,672,674,732,756,823,824,828,845,
846,847,848,865,867,978,991,993,994,1015,1046,1186,1295,1303,1305,1319,1320,
1498],[1,2,3,4,7,8,9,10,11,12,13,14,15,16,22,30,33,43,44,45,47,55,56,57,58,59,
62,63,64,70,71,72,80,81,82,83,86,101,106,107,122,137,138,141,144,145,159,160,
163,167,168,170,171,172,173,174,175,180,182,185,186,188,245,246,247,248,249,
250,252,319,323,339,340,374,379,402,406,409,410,411,420,445,465,466,467,468,
471,473,497,498,541,545,649,670,671,698,738,779,794,822,823,978,992,994,1041,
1132,1287,1303,1304,1499],[1,2,3,4,5,8,9,10,11,12,13,15,18,20,24,28,29,37,38,
41,42,43,44,53,55,57,58,67,68,69,70,73,76,85,87,88,89,99,100,104,105,116,118,
133,136,137,138,170,173,175,192,196,207,217,218,221,222,223,224,225,226,235,
244,246,299,306,308,315,316,317,329,333,334,345,393,395,409,424,471,472,475,
530,533,536,537,565,567,624,646,654,684,686,687,688,693,704,730,899,901,909,
911,921,922,1025,1028,1047,1148,1252,1323,1327,1500],[1,2,3,4,6,9,10,11,13,15,
18,21,23,25,31,32,39,40,41,42,53,56,57,65,66,70,74,76,87,88,102,103,108,109,
111,114,119,134,135,136,171,176,191,207,214,215,219,220,222,225,236,246,294,
309,310,320,321,322,330,335,336,348,394,408,415,469,473,531,532,537,566,619,
647,655,689,690,691,692,694,705,729,898,900,910,923,1024,1029,1048,1147,1254,
1324,1328,1501],[1,2,3,4,6,8,9,10,11,12,13,15,18,21,23,25,31,32,37,38,41,42,
43,44,53,55,57,58,67,68,69,70,73,76,85,87,88,89,102,103,108,109,111,114,119,
133,136,137,138,170,173,175,192,196,207,217,218,221,222,223,224,225,226,235,
244,246,293,309,310,320,321,322,330,335,336,348,393,395,409,424,471,472,475,
530,533,536,537,565,567,620,642,655,689,690,691,692,694,705,730,899,901,909,
911,921,922,1023,1030,1048,1148,1253,1325,1329,1502],[1,2,3,4,7,8,9,13,14,15,
16,22,26,27,45,46,47,48,55,56,65,66,67,71,72,101,120,121,122,128,129,141,180,
181,230,231,232,233,234,235,236,323,324,326,332,383,443,444,481,482,556,557,
659,660,698,743,827,897,1051,1094,1326,1503],[1,2,4,5,6,7,8,9,15,20,21,22,29,
31,32,34,35,38,40,61,90,91,92,96,97,98,99,100,101,105,108,110,140,266,267,268,
270,271,272,273,274,275,308,311,312,341,343,344,350,568,569,570,571,572,580,
581,582,585,658,707,708,711,928,929,939,943,944,945,1054,1055,1058,1223,1332,
1342,1343,1504],[1,2,3,6,7,10,11,13,21,22,23,25,30,41,42,57,92,102,103,106,
119,136,268,279,280,309,310,330,349,575,655,709,710,712,1053,1056,1057,1333,
1334,1335,1505],[1,2,4,5,6,7,8,9,15,20,21,22,29,31,32,34,35,61,65,67,90,91,92,
96,97,98,99,100,101,105,108,110,242,266,267,268,270,271,272,273,274,275,314,
333,341,343,344,350,568,569,570,571,572,580,581,582,585,676,707,708,711,930,
931,939,943,944,1054,1055,1058,1225,1339,1342,1346,1506],[1,2,3,5,6,7,8,9,13,
20,21,22,23,24,25,26,30,38,65,79,90,91,92,96,97,98,99,100,101,106,118,119,120,
211,266,267,268,269,277,278,279,280,304,308,311,314,331,350,568,569,570,571,
572,573,574,575,585,586,703,711,715,928,930,932,945,947,1055,1058,1059,1202,
1339,1343,1344,1507],[1,2,3,4,5,6,7,8,9,13,15,18,20,21,22,23,24,25,26,27,28,
29,30,31,32,33,34,35,53,61,71,76,79,90,91,92,96,97,98,99,100,101,104,105,106,
107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,197,266,267,268,
269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,302,304,305,
317,319,331,332,341,343,344,345,346,347,348,350,568,569,570,571,572,573,574,
575,576,577,578,579,580,581,582,583,584,585,586,588,589,590,591,592,593,594,
595,664,666,707,708,711,714,715,932,933,937,938,939,940,941,942,943,944,946,
947,948,949,1054,1055,1058,1059,1063,1064,1065,1224,1226,1342,1344,1345,1348,
1349,1508],[1,2,3,6,7,10,11,13,21,22,23,25,30,57,70,92,102,103,106,119,246,
268,279,280,330,335,336,349,575,694,709,710,712,1053,1056,1057,1335,1340,1341,
1509],[1,2,4,5,6,7,8,9,15,20,21,22,27,28,31,32,33,38,67,76,90,91,92,96,97,98,
99,100,101,104,107,108,121,217,266,267,268,276,281,282,283,284,305,308,311,
317,333,350,568,569,570,571,572,576,577,578,579,585,684,711,714,928,931,933,
938,945,1055,1058,1063,1204,1343,1345,1346,1510],[1,3,4,6,7,10,11,18,23,27,30,
31,34,42,70,88,92,102,103,109,113,222,275,280,281,310,320,336,349,594,691,709,
716,1056,1057,1061,1334,1336,1340,1511],[1,3,4,6,7,10,11,18,23,27,30,32,35,42,
70,88,92,102,103,111,115,222,274,280,284,310,321,335,349,588,692,709,717,1056,
1057,1060,1334,1337,1341,1512],[1,3,4,6,7,11,18,23,27,30,31,34,41,70,88,92,
102,109,113,225,275,280,281,309,320,335,349,594,689,709,716,1057,1061,1333,
1336,1341,1513],[1,3,4,6,7,11,18,23,27,30,32,35,41,70,88,92,102,111,115,225,
274,280,284,309,321,336,349,588,690,709,717,1057,1060,1333,1337,1340,1514],[1,
2,4,5,6,7,9,15,20,21,22,27,28,31,32,33,40,65,76,90,91,92,97,98,100,104,107,
108,121,219,266,267,268,276,281,282,283,284,305,312,314,317,350,568,570,572,
576,577,578,579,695,711,714,929,930,933,938,1058,1063,1205,1332,1339,1345,
1515],[1,2,3,5,6,7,9,13,20,21,22,23,24,25,26,30,40,67,79,90,91,92,97,98,100,
106,118,119,120,213,266,267,268,269,277,278,279,280,304,312,331,333,350,568,
570,572,573,574,575,586,697,711,715,929,931,932,947,1058,1059,1203,1332,1344,
1346,1516],[1,2,3,4,6,7,10,11,13,15,18,21,22,23,25,27,30,31,32,34,35,53,57,87,
88,92,102,103,106,108,109,110,111,113,114,115,119,121,207,268,274,275,279,280,
281,284,320,321,322,330,347,348,349,575,578,582,588,589,594,595,705,709,710,
712,716,717,942,1053,1056,1057,1060,1061,1062,1066,1335,1336,1337,1338,1347,
1517],[1,2,3,4,7,8,9,13,15,18,19,22,26,27,30,33,34,35,37,53,61,66,67,71,75,76,
79,94,95,98,101,106,107,110,112,113,115,117,120,121,148,197,212,218,241,255,
256,288,289,290,295,304,305,319,332,344,346,347,521,596,597,598,610,633,636,
666,950,1008,1071,1352,1354,1358,1518],[1,2,3,4,7,8,9,13,15,18,19,22,26,27,30,
33,34,35,40,53,61,66,67,71,74,76,79,94,95,98,101,106,107,110,112,113,115,117,
120,121,149,197,213,220,241,253,259,288,289,290,296,304,305,319,332,344,346,
347,520,596,597,598,609,634,635,666,950,1007,1072,1353,1355,1357,1519],[1,2,4,
5,8,9,15,19,20,29,38,39,40,61,66,67,76,94,95,96,97,99,100,105,140,151,217,220,
228,229,241,288,289,290,292,308,311,312,341,343,441,596,597,598,604,614,615,
658,950,966,1070,1350,1351,1356,1520],[1,4,6,17,31,36,50,93,126,286,720,
1521],[1,2,3,4,8,9,10,11,12,13,14,15,16,17,18,37,38,39,40,45,46,47,48,49,50,
51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,71,72,73,74,75,76,77,78,79,
80,81,82,83,84,85,86,87,88,89,128,129,130,131,132,133,134,135,139,140,141,142,
143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,168,169,170,
171,172,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,
191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,
210,211,212,213,214,215,216,217,218,219,220,227,228,229,230,231,232,233,234,
235,236,239,240,241,242,248,249,250,251,252,253,254,255,256,257,258,259,355,
356,357,358,359,360,361,362,363,364,365,366,367,373,375,376,377,380,381,383,
384,385,386,387,388,389,390,391,392,395,396,397,398,399,400,401,404,405,408,
410,411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,
431,432,433,434,435,436,437,438,439,440,441,442,443,444,447,448,449,450,451,
452,453,454,455,456,457,458,459,462,469,470,475,476,477,478,479,480,481,482,
487,488,489,490,491,492,493,495,496,498,499,500,501,502,503,504,505,506,507,
508,509,510,511,512,513,514,515,518,519,520,521,530,531,532,534,535,538,539,
541,542,543,546,547,548,549,551,552,555,556,557,558,559,560,561,562,563,564,
565,726,727,728,731,734,735,736,737,738,743,748,749,750,751,752,753,754,755,
756,757,758,759,760,761,762,763,764,765,778,780,782,784,785,786,787,788,789,
790,791,792,793,796,801,802,803,804,805,806,807,808,809,810,811,812,813,814,
815,816,817,818,819,820,821,825,826,827,830,831,832,833,834,835,836,837,838,
839,840,841,842,843,844,853,855,856,860,861,862,863,864,868,869,870,871,872,
874,875,876,877,878,879,881,884,889,890,891,897,900,905,906,907,908,911,912,
913,914,915,919,924,925,926,927,1077,1080,1081,1082,1093,1094,1102,1104,1113,
1114,1115,1116,1117,1118,1119,1121,1122,1123,1124,1125,1126,1127,1129,1131,
1133,1146,1149,1150,1155,1156,1157,1158,1159,1162,1163,1174,1175,1176,1177,
1178,1179,1182,1183,1184,1189,1193,1194,1195,1199,1366,1384,1386,1396,1399,
1400,1401,1408,1411,1522],[1,2,3,4,8,9,10,11,12,13,14,15,16,17,18,37,38,39,40,
41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,
71,72,73,74,75,76,77,78,79,80,81,82,83,84,86,128,129,131,132,133,134,135,136,
137,138,141,142,144,145,146,147,150,151,154,155,156,157,158,159,160,161,162,
163,164,165,166,167,168,169,170,171,173,175,176,177,178,179,180,181,182,183,
184,185,186,187,188,191,192,193,194,197,198,201,202,203,204,205,208,209,210,
211,212,213,214,215,216,227,228,229,230,231,232,233,234,235,236,248,249,250,
251,252,253,254,255,355,359,360,361,362,363,364,368,369,370,371,372,373,374,
375,376,377,378,379,382,383,384,385,386,387,388,390,391,393,394,395,399,400,
401,402,403,404,405,406,407,408,409,410,412,413,414,417,418,419,420,423,427,
428,429,430,431,432,436,437,438,439,440,443,444,451,452,453,455,459,462,480,
481,482,487,488,489,490,491,492,493,494,495,496,497,498,499,500,501,502,510,
511,512,513,532,538,539,540,541,542,543,544,545,546,549,555,558,559,560,565,
726,729,730,731,732,733,735,736,739,740,741,742,747,748,753,757,761,762,763,
764,765,766,767,768,769,777,778,779,780,781,782,783,787,796,797,798,799,800,
801,802,803,804,808,809,813,814,819,827,834,835,844,853,859,860,868,869,872,
876,877,878,881,882,883,884,887,888,889,890,891,896,916,917,1078,1079,1080,
1082,1085,1097,1104,1112,1117,1118,1125,1127,1128,1137,1138,1139,1150,1162,
1169,1170,1177,1179,1190,1200,1361,1362,1363,1378,1383,1385,1396,1523],[1,2,3,
4,8,9,10,11,12,13,14,15,16,17,18,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,
52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,71,72,73,74,75,76,77,78,79,80,
81,82,83,84,86,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,
143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,
162,163,164,165,166,167,168,169,170,171,173,175,176,177,178,179,180,181,182,
183,184,185,186,187,188,189,190,191,192,193,194,197,198,201,202,203,204,205,
208,209,210,211,212,213,214,215,216,217,218,219,220,227,228,229,230,231,232,
233,234,235,236,239,240,241,242,248,249,250,251,252,253,254,255,256,257,258,
259,356,357,358,360,361,362,363,364,365,366,367,368,369,370,371,372,373,374,
375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,393,394,
395,396,397,398,400,401,402,403,404,405,406,407,408,409,410,412,413,414,417,
418,419,420,423,427,428,429,430,433,434,435,436,437,438,439,440,441,442,443,
444,447,448,449,450,451,452,453,454,455,456,457,458,476,477,481,482,487,488,
489,490,491,492,493,494,495,496,497,498,499,500,501,502,503,504,505,506,507,
508,509,512,513,514,515,518,519,520,521,530,531,534,535,538,539,540,541,542,
543,544,545,546,547,548,551,552,558,559,560,561,562,563,564,727,728,729,730,
731,732,733,734,735,737,739,740,741,742,744,745,746,749,750,751,752,753,757,
758,759,760,762,763,764,765,766,767,768,769,770,771,772,773,774,775,776,778,
779,780,781,782,783,784,785,786,788,789,790,791,797,798,799,800,805,806,807,
810,811,812,813,814,815,816,817,818,820,821,826,827,830,831,834,835,836,837,
838,839,840,841,861,862,863,864,868,869,870,871,874,875,876,877,881,882,883,
887,888,889,890,891,1077,1078,1079,1081,1083,1084,1086,1087,1088,1089,1090,
1091,1092,1098,1099,1100,1101,1105,1106,1107,1108,1109,1110,1111,1113,1114,
1115,1116,1121,1122,1123,1124,1126,1127,1128,1137,1138,1140,1141,1142,1149,
1162,1163,1183,1184,1361,1364,1365,1372,1373,1374,1375,1388,1401,1524],[1,2,3,
4,8,9,10,11,12,13,14,15,16,17,18,37,38,39,40,41,42,45,47,49,52,53,54,55,56,57,
58,59,60,61,62,63,64,65,66,67,70,71,72,73,74,75,76,77,78,79,80,81,85,87,88,89,
132,133,134,135,136,139,140,141,142,143,144,145,146,147,148,149,150,151,152,
153,154,155,156,157,158,161,162,166,168,169,171,173,175,176,177,178,179,180,
181,183,184,188,189,190,191,192,193,194,195,196,197,198,199,200,206,207,211,
212,213,214,215,216,217,218,219,220,222,225,227,228,229,230,231,232,233,234,
235,236,239,240,241,242,245,246,247,250,251,252,253,254,255,256,257,258,259,
262,265,355,356,357,358,359,360,361,362,364,366,367,373,375,376,377,380,381,
382,385,386,392,393,394,396,397,398,399,400,401,404,405,408,410,412,413,415,
416,418,424,429,430,431,432,433,434,435,436,437,438,439,440,441,442,443,444,
445,447,448,449,450,452,455,456,457,458,459,462,469,470,471,473,477,478,479,
480,482,494,495,497,499,500,501,502,503,504,505,506,507,508,509,510,511,512,
513,514,515,518,519,520,521,522,523,524,525,530,531,532,534,535,537,538,542,
546,547,548,549,551,552,554,556,557,558,559,560,561,562,563,564,566,567,726,
728,729,731,736,737,744,745,746,747,748,749,752,754,758,759,760,761,772,774,
776,777,778,780,783,784,785,787,788,790,792,794,797,799,803,804,805,806,807,
808,809,810,811,812,813,814,815,816,818,819,820,825,830,832,833,836,842,843,
844,855,856,860,861,862,863,864,865,873,874,876,878,879,883,885,897,898,900,
903,905,906,907,908,909,910,912,913,914,915,918,920,923,924,925,926,927,1078,
1080,1081,1083,1084,1085,1097,1099,1101,1105,1106,1108,1109,1112,1113,1116,
1117,1120,1129,1135,1147,1151,1152,1153,1154,1155,1156,1157,1158,1159,1164,
1165,1171,1174,1175,1176,1182,1187,1196,1199,1363,1365,1370,1376,1377,1379,
1399,1406,1407,1409,1410,1525],[1,2,3,4,8,9,10,11,12,13,14,15,16,17,37,38,39,
40,41,42,45,47,49,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,
76,77,78,79,80,81,133,134,135,136,139,140,141,142,143,144,145,146,147,148,149,
150,151,152,153,154,155,156,157,158,161,162,166,168,169,170,171,172,173,174,
175,176,177,178,179,180,181,183,184,188,189,190,193,194,211,212,214,215,216,
217,220,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,
244,248,249,250,251,252,253,254,256,258,356,357,358,364,366,367,373,375,376,
377,380,381,382,393,394,395,396,397,398,400,401,404,405,408,410,411,412,413,
418,427,428,429,430,431,432,433,434,435,436,438,439,440,441,443,444,446,447,
448,449,450,451,452,453,454,455,456,457,458,459,460,461,462,463,464,469,470,
472,474,475,477,482,494,495,496,497,498,499,500,501,504,506,512,515,538,542,
546,555,556,557,558,559,561,563,728,729,736,737,738,744,745,746,749,752,758,
759,760,772,774,776,778,780,782,783,784,785,788,790,792,793,795,796,797,799,
814,815,817,818,819,820,821,824,830,836,853,854,859,868,869,870,871,874,876,
883,884,892,894,896,897,902,905,906,907,908,922,1078,1083,1084,1095,1099,1101,
1102,1103,1105,1106,1108,1109,1113,1116,1125,1131,1139,1149,1150,1173,1174,
1189,1191,1192,1194,1362,1365,1367,1389,1391,1395,1400,1526],[1,2,3,4,8,9,10,
11,12,13,14,15,16,17,18,37,38,39,40,43,44,45,46,47,48,49,52,53,54,55,56,57,58,
59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,79,80,81,82,83,84,85,86,87,
88,89,128,129,132,133,134,135,137,138,139,140,141,142,143,144,145,146,147,148,
149,150,151,152,153,154,155,156,157,158,159,160,163,167,168,169,170,171,173,
175,176,177,178,179,180,181,182,184,185,186,187,188,189,190,191,192,193,194,
195,196,197,198,199,200,201,204,206,207,209,210,211,212,213,214,215,216,217,
218,219,220,221,223,224,226,227,228,229,230,231,232,233,234,235,236,237,238,
239,240,241,242,243,244,248,249,250,251,252,253,254,255,256,257,258,259,260,
261,263,264,355,356,357,358,359,360,361,362,364,366,367,373,374,375,376,377,
379,380,381,383,385,386,388,391,392,396,397,398,399,400,401,402,403,404,405,
406,407,408,409,410,413,414,415,416,417,420,424,427,428,429,430,431,432,433,
434,435,436,437,438,439,440,441,442,443,444,446,447,448,449,450,451,454,455,
456,457,459,462,469,470,472,474,477,478,479,480,481,487,488,489,490,491,492,
497,498,499,500,501,502,503,504,505,506,507,508,509,510,511,512,513,514,515,
516,517,518,519,520,521,526,527,528,529,530,531,532,533,534,535,536,539,541,
542,544,545,546,547,548,549,550,551,552,553,555,556,557,558,559,560,561,562,
563,564,726,728,731,736,737,739,741,742,746,748,749,751,754,758,759,761,764,
765,768,769,770,771,772,774,775,778,779,784,785,786,787,788,791,792,795,796,
799,800,801,802,803,804,805,806,807,808,809,810,811,812,813,814,815,816,818,
819,825,830,832,833,834,839,842,843,844,855,856,857,858,859,860,861,862,863,
864,866,867,870,874,878,879,880,887,891,892,893,894,895,896,897,900,901,905,
906,907,908,912,913,914,915,916,917,924,925,926,927,1080,1081,1082,1086,1087,
1090,1091,1095,1096,1098,1108,1110,1113,1117,1123,1129,1130,1137,1139,1141,
1143,1144,1155,1156,1157,1158,1159,1160,1161,1166,1167,1168,1169,1170,1174,
1175,1176,1182,1190,1191,1192,1199,1200,1373,1381,1382,1383,1391,1397,1399,
1402,1403,1404,1405,1527],[1,2,3,4,8,9,10,11,12,13,14,15,16,17,18,37,38,39,40,
41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,
68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,128,129,131,
132,133,134,135,136,137,138,141,142,144,145,146,147,150,151,154,155,156,157,
158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,
177,178,179,180,181,182,183,184,185,186,187,188,191,192,193,194,195,196,197,
198,199,200,201,202,203,204,205,206,207,208,209,210,214,215,217,218,219,220,
221,222,223,224,225,226,230,231,232,233,234,235,236,237,238,243,244,245,246,
247,248,249,250,251,252,253,254,256,257,258,259,260,261,262,263,264,265,360,
361,362,363,364,368,369,370,371,372,373,374,375,376,377,378,379,382,383,384,
385,386,387,388,390,391,392,393,394,395,400,401,402,403,404,405,406,407,408,
409,410,411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,
428,429,430,443,444,445,446,449,450,454,456,457,458,459,460,461,462,463,464,
465,466,467,468,469,470,471,472,473,474,475,478,479,481,482,483,484,485,486,
487,488,489,490,491,492,493,494,495,496,497,498,499,503,504,505,506,507,508,
509,510,511,512,516,517,522,523,524,525,526,527,528,529,530,531,532,533,536,
537,538,539,540,541,542,543,544,545,546,547,548,549,550,553,554,565,566,567,
729,730,731,732,733,735,738,739,740,741,742,753,754,755,756,757,762,763,764,
765,766,767,768,769,778,779,780,781,782,783,792,793,794,795,797,798,799,800,
817,818,819,822,823,824,825,827,828,829,832,833,836,837,838,839,842,843,845,
846,847,848,849,850,851,852,853,854,855,856,857,858,860,861,862,865,866,867,
872,873,879,880,881,882,883,885,886,887,888,889,890,891,892,893,894,895,898,
899,900,901,902,903,904,909,910,911,918,919,920,921,922,923,1078,1079,1093,
1095,1096,1102,1103,1119,1120,1127,1128,1129,1130,1131,1132,1133,1134,1135,
1136,1137,1138,1147,1148,1166,1167,1168,1171,1172,1173,1178,1179,1180,1181,
1182,1184,1185,1186,1187,1188,1196,1197,1198,1361,1370,1371,1386,1387,1389,
1390,1392,1393,1394,1397,1528],[1,2,3,4,8,9,10,11,12,13,14,15,16,17,37,39,40,
41,42,45,47,49,55,56,57,58,59,60,61,62,63,64,65,67,68,69,72,74,75,76,77,78,79,
80,81,134,135,136,139,141,142,143,144,145,146,147,148,149,150,151,153,154,157,
158,161,162,166,168,169,171,172,173,174,175,176,177,179,181,183,184,188,190,
193,213,215,216,218,219,227,229,232,233,234,235,237,238,239,242,243,244,250,
251,252,255,257,259,355,357,359,363,365,373,375,377,380,382,393,394,397,398,
399,400,401,404,405,408,410,411,412,413,418,429,430,437,439,440,442,443,446,
448,451,453,454,457,458,459,460,461,462,463,464,472,474,475,476,480,481,494,
495,497,499,502,503,505,513,514,538,542,546,560,562,564,726,727,729,738,743,
744,746,747,748,750,751,759,760,761,770,771,773,775,777,778,780,783,786,787,
789,791,793,795,797,799,813,816,817,819,821,824,831,837,844,854,875,877,878,
883,892,894,902,922,1078,1084,1085,1095,1097,1098,1100,1103,1107,1110,1111,
1112,1114,1115,1117,1131,1143,1144,1145,1173,1193,1363,1364,1366,1369,1380,
1381,1389,1529],[1,2,3,4,8,9,10,11,12,13,14,15,16,17,18,37,39,40,43,44,45,46,
47,48,49,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,70,71,72,74,75,76,79,80,
81,82,83,84,86,128,129,132,134,135,137,138,139,141,142,143,144,145,146,147,
148,149,153,154,157,158,159,160,163,167,168,169,170,171,172,173,174,175,176,
177,179,180,181,182,184,185,186,187,188,190,193,197,198,201,204,209,210,212,
213,216,218,220,229,231,233,234,235,240,241,245,246,247,248,249,250,251,252,
253,255,256,259,355,357,359,363,365,373,374,377,379,380,383,386,388,391,396,
398,399,400,401,402,403,404,405,406,407,408,409,410,411,413,414,417,420,427,
428,429,430,437,440,443,445,447,450,452,453,454,458,459,462,465,466,467,468,
471,473,475,476,480,482,487,488,489,490,491,492,497,498,499,501,502,504,505,
513,520,521,534,539,541,542,544,545,546,552,555,560,726,727,738,739,741,742,
743,744,745,748,750,752,760,761,764,765,768,769,771,772,773,776,778,779,784,
786,787,789,790,793,794,796,799,800,801,802,813,817,819,822,823,831,835,838,
844,859,864,871,875,878,885,886,887,891,896,898,899,916,917,1082,1087,1092,
1099,1109,1111,1114,1117,1124,1131,1132,1135,1136,1137,1139,1140,1151,1152,
1169,1170,1190,1193,1200,1201,1366,1372,1376,1383,1394,1395,1398,1530],[1,2,3,
4,8,9,10,11,12,13,14,15,16,17,18,37,38,39,40,43,44,45,46,47,48,49,52,53,54,55,
56,57,58,59,60,61,62,63,64,65,66,67,70,71,72,73,74,75,76,79,80,81,82,83,84,86,
128,129,132,133,134,135,137,138,139,140,141,142,143,144,145,146,147,148,149,
152,153,154,155,156,157,158,159,160,163,167,168,169,170,171,172,173,174,175,
176,177,178,179,180,181,182,184,185,186,187,188,189,190,193,194,197,198,201,
204,209,210,211,212,213,214,215,217,219,227,228,230,231,232,233,234,235,236,
239,240,241,242,245,246,247,248,249,250,251,252,253,254,255,257,258,356,357,
358,364,366,367,373,374,376,377,379,380,381,383,386,388,391,395,396,397,398,
399,400,401,402,403,404,405,406,407,408,409,410,411,412,413,414,417,420,427,
428,429,430,431,432,433,434,435,436,438,439,443,444,445,447,448,449,450,451,
452,453,454,455,456,457,458,459,462,465,466,467,468,469,470,471,473,475,477,
480,481,482,487,488,489,490,491,492,496,497,498,499,500,501,502,503,506,512,
518,519,535,539,541,542,544,545,546,551,555,556,557,558,559,728,736,737,738,
739,741,742,746,747,748,749,751,758,759,764,765,768,769,770,771,772,774,775,
777,778,779,782,784,785,786,788,791,792,793,794,796,799,800,814,817,818,819,
820,821,822,823,827,830,834,839,853,863,868,869,870,871,874,884,885,886,887,
891,897,898,899,905,906,907,908,916,917,1086,1087,1090,1091,1097,1098,1102,
1104,1108,1110,1113,1123,1125,1131,1132,1135,1136,1137,1141,1149,1150,1153,
1154,1174,1189,1190,1194,1368,1369,1373,1377,1378,1394,1400,1531],[1,2,3,4,8,
9,10,11,12,13,14,15,16,17,18,37,39,40,41,42,45,47,49,52,53,54,55,56,57,58,59,
60,61,62,63,64,65,66,67,70,72,73,74,75,76,77,78,79,80,81,83,84,85,87,88,89,
132,134,135,136,139,141,142,143,144,145,146,147,148,149,150,151,153,154,157,
158,161,162,166,168,169,170,171,173,175,176,177,178,179,181,182,183,184,187,
188,190,191,192,193,195,196,199,200,206,207,213,214,215,216,218,219,220,222,
225,227,229,230,231,232,233,234,235,236,239,242,245,246,247,248,250,251,252,
253,254,255,256,257,259,262,265,357,363,365,373,375,377,380,382,385,392,393,
394,396,397,398,400,401,404,405,408,410,412,413,415,416,418,419,424,427,429,
430,431,432,437,439,440,442,443,444,445,448,451,452,453,454,457,458,469,470,
471,473,476,477,478,479,481,490,494,495,497,499,502,503,504,505,509,510,511,
512,513,514,522,523,524,525,531,532,537,538,542,543,546,547,549,554,555,556,
557,560,562,564,565,566,567,727,729,736,744,746,749,750,751,754,759,760,762,
770,771,773,775,778,780,783,786,789,790,791,792,794,796,797,799,813,816,817,
821,825,831,837,840,853,855,856,859,860,862,865,869,872,873,875,877,879,883,
884,885,896,897,898,900,903,909,910,912,913,918,920,923,924,925,1078,1084,
1098,1100,1107,1110,1111,1114,1115,1120,1122,1125,1129,1135,1139,1147,1159,
1160,1161,1171,1177,1178,1187,1194,1195,1196,1201,1362,1364,1368,1370,1382,
1384,1398,1532],[1,2,3,4,8,9,10,11,12,13,14,15,16,17,18,37,38,39,40,45,46,47,
48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,71,72,73,74,75,76,77,
78,79,80,81,82,83,84,85,86,87,88,89,128,129,131,132,133,134,135,141,142,144,
145,146,147,150,151,154,155,156,157,158,168,169,170,171,172,174,175,176,177,
178,179,180,181,182,183,184,185,186,187,188,191,192,193,194,195,196,197,198,
199,200,201,202,203,204,205,206,207,208,209,210,214,215,217,218,219,220,230,
231,232,233,234,235,236,239,240,241,242,248,249,250,251,252,253,254,256,257,
258,259,360,361,362,363,364,373,375,376,377,383,384,385,386,387,388,390,391,
392,395,396,397,398,399,400,401,404,405,408,410,411,412,413,414,415,416,417,
418,419,420,421,422,423,424,425,426,427,428,433,434,435,443,444,447,448,449,
450,453,454,455,456,457,458,459,462,469,470,475,476,477,478,479,480,481,482,
487,488,489,490,491,492,493,495,496,498,499,503,504,505,506,507,508,509,510,
511,512,530,531,532,538,539,541,542,543,546,547,548,549,555,565,731,735,737,
738,744,745,746,747,748,749,750,751,752,753,754,755,756,757,762,763,764,765,
770,771,772,773,774,775,776,777,778,780,782,792,793,796,817,818,819,825,826,
827,832,833,836,837,838,839,842,843,853,855,856,859,860,861,862,868,872,879,
881,889,890,891,896,900,911,916,917,919,1093,1097,1098,1099,1100,1101,1102,
1118,1119,1126,1127,1129,1131,1133,1139,1140,1141,1142,1160,1161,1164,1165,
1178,1179,1182,1184,1190,1369,1379,1382,1385,1386,1388,1395,1533],[1,2,3,4,8,
9,10,11,12,13,14,15,16,17,18,37,39,40,43,44,45,46,47,48,49,52,53,54,55,56,57,
58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,79,80,81,82,83,84,85,86,
87,88,89,128,129,132,134,135,137,138,139,141,142,143,144,145,146,147,148,149,
153,154,157,158,159,160,163,167,168,169,170,171,173,175,176,177,178,179,180,
181,182,184,185,186,187,188,190,191,192,193,195,196,197,198,199,200,201,204,
206,207,209,210,212,213,214,215,216,218,219,220,221,223,224,226,229,230,231,
232,233,234,235,236,237,238,240,241,243,244,248,249,250,251,252,253,254,255,
256,257,259,260,261,263,264,357,363,365,373,374,377,379,380,383,385,386,388,
391,392,396,397,398,399,400,401,402,403,404,405,406,407,408,409,410,413,414,
415,416,417,419,420,424,427,428,429,430,431,432,437,440,443,444,446,447,450,
451,452,453,454,458,469,470,472,474,476,477,478,479,480,481,482,487,488,489,
490,491,492,497,498,499,501,502,503,504,505,509,510,511,512,513,516,517,520,
521,526,527,528,529,531,532,533,534,536,539,541,542,543,544,545,546,547,549,
550,552,553,555,556,557,560,565,727,736,739,741,742,744,745,747,748,749,750,
752,754,760,762,764,765,768,769,771,772,773,776,777,778,779,784,786,789,790,
791,792,795,796,799,800,813,817,825,827,831,835,838,840,853,855,856,857,858,
860,862,864,866,867,869,871,872,875,879,880,884,887,891,892,893,894,895,897,
900,901,912,913,916,917,924,925,1087,1092,1095,1096,1097,1099,1104,1109,1111,
1114,1122,1124,1125,1129,1130,1137,1140,1145,1159,1164,1165,1166,1167,1168,
1177,1178,1190,1194,1195,1367,1372,1378,1379,1380,1384,1397,1534],[1,2,3,4,8,
9,10,11,12,13,14,15,16,17,18,37,38,39,40,45,46,47,48,49,50,51,52,53,54,55,56,
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,
83,84,86,128,129,130,131,132,133,134,135,139,140,141,142,143,144,145,146,147,
148,149,150,151,152,153,154,155,156,157,158,168,169,170,171,175,176,177,178,
179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,197,198,201,
202,203,204,205,208,209,210,211,212,213,214,215,216,217,218,219,220,227,228,
229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,
248,249,250,251,252,253,254,255,256,257,258,259,356,357,358,360,361,362,363,
364,365,366,367,373,375,376,377,380,381,383,384,385,386,387,388,389,390,391,
395,396,397,398,399,400,401,404,405,408,410,412,413,414,417,418,419,420,423,
427,428,433,434,435,436,437,438,439,440,441,442,443,444,445,446,447,448,449,
450,451,452,453,454,455,456,457,458,471,472,473,474,476,477,480,481,482,483,
484,485,486,487,488,489,490,491,492,493,495,496,498,499,500,501,502,503,504,
505,506,507,508,509,512,513,514,515,518,519,520,521,530,531,534,535,538,539,
541,542,543,546,547,548,551,552,555,558,559,560,561,562,563,564,565,727,728,
731,734,735,737,747,748,749,750,751,752,753,757,758,759,760,762,763,764,765,
777,778,780,782,784,785,786,788,789,790,791,794,795,796,805,806,807,810,811,
812,813,814,815,816,817,818,820,821,826,827,828,829,830,831,834,835,836,837,
838,839,840,841,859,861,862,863,864,868,869,870,871,872,874,875,876,877,881,
885,889,890,891,892,894,896,898,904,916,917,921,1077,1081,1095,1097,1113,1114,
1115,1116,1118,1121,1122,1123,1124,1126,1127,1134,1135,1139,1145,1149,1153,
1154,1162,1163,1172,1183,1184,1190,1191,1192,1201,1377,1380,1385,1391,1392,
1398,1401,1535],[1,2,3,4,8,9,10,11,12,13,14,15,16,17,18,37,38,39,40,45,46,47,
48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,
75,76,77,78,79,80,81,82,83,84,86,128,129,131,132,133,134,135,141,142,144,145,
146,147,150,151,154,155,156,157,158,168,169,170,171,175,176,177,178,179,180,
181,182,183,184,185,186,187,188,191,192,193,194,197,198,201,202,203,204,205,
208,209,210,211,212,213,214,215,216,227,228,229,230,231,232,233,234,235,236,
237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,
355,359,360,361,362,363,364,373,375,376,377,383,384,385,386,387,388,390,391,
395,396,397,398,399,400,401,404,405,408,410,412,413,414,417,418,419,420,423,
427,428,431,432,433,434,435,436,437,438,439,440,443,444,445,446,447,448,451,
452,453,455,459,462,471,472,473,474,476,477,480,481,482,483,484,485,486,487,
488,489,490,491,492,493,495,496,498,499,500,501,502,510,511,512,513,532,538,
539,541,542,543,546,549,555,558,559,560,565,726,731,735,736,737,744,745,746,
748,749,750,751,752,753,757,761,762,763,764,765,770,771,772,773,774,775,776,
778,780,782,787,794,795,796,801,802,803,804,808,809,813,814,819,826,827,828,
829,834,835,844,853,860,868,869,872,876,877,878,881,884,885,889,890,891,892,
894,898,904,921,1080,1082,1095,1098,1099,1100,1101,1104,1117,1118,1125,1126,
1127,1134,1135,1140,1141,1142,1143,1144,1150,1151,1152,1162,1172,1177,1179,
1367,1368,1376,1381,1388,1392,1396,1536],[1,2,3,5,7,9,12,13,14,20,22,39,40,45,
56,58,67,79,90,97,98,100,122,134,147,168,184,213,229,234,252,266,292,297,307,
312,323,334,359,405,437,459,480,568,603,615,618,667,675,878,935,953,960,964,
974,1216,1258,1310,1412,1537],[1,2,3,5,7,8,9,13,14,20,22,24,39,45,55,56,79,90,
99,100,101,118,122,135,141,146,147,184,266,292,297,307,323,329,331,355,359,
373,585,602,603,608,621,656,698,726,935,953,960,995,1009,1209,1244,1246,1412,
1538],[1,2,3,4,5,7,9,10,11,13,14,15,16,20,22,29,34,35,39,45,47,56,57,67,75,79,
80,81,90,100,105,110,122,147,171,177,184,188,216,234,255,266,270,272,292,297,
307,318,323,333,337,338,359,413,462,480,513,580,603,632,639,668,685,844,935,
953,960,975,999,1219,1263,1277,1412,1539],[1,2,3,5,7,9,12,13,14,20,22,26,30,
39,45,46,56,58,79,82,90,100,106,120,122,128,147,184,185,248,252,266,278,292,
297,307,323,324,339,359,487,555,574,603,659,671,801,935,953,960,1242,1285,
1412,1540],[1,2,3,4,5,7,9,12,13,14,15,16,20,22,27,33,39,45,47,48,56,58,79,86,
90,100,107,121,122,129,147,184,186,248,250,266,283,292,297,307,323,326,340,
359,488,555,576,603,660,670,802,935,953,960,1243,1286,1412,1541],[1,2,3,5,6,7,
9,10,11,13,20,21,22,23,24,25,26,39,40,41,42,56,57,91,102,103,118,119,120,134,
135,136,171,176,267,269,292,294,296,299,300,309,310,330,394,408,586,619,621,
623,624,626,655,729,936,1029,1212,1238,1240,1254,1542],[1,2,3,5,6,7,8,9,10,11,
12,13,20,21,22,23,24,25,26,37,38,41,42,43,44,55,57,58,91,99,100,102,103,118,
119,120,133,136,137,138,170,173,175,267,269,293,294,295,298,299,300,301,306,
308,309,310,329,330,393,395,409,586,619,620,622,624,625,626,629,654,655,730,
934,936,1028,1030,1211,1212,1239,1241,1252,1253,1543],[1,2,3,4,5,7,9,13,14,15,
18,20,22,28,37,39,45,53,56,60,65,66,72,74,76,79,90,97,100,104,122,147,150,154,
184,191,198,212,214,227,231,236,253,254,266,292,297,306,307,314,317,323,342,
359,361,432,501,511,549,559,570,603,605,613,631,651,701,804,935,953,955,960,
979,982,1000,1208,1214,1247,1289,1412,1544],[1,2,3,4,5,7,8,9,13,14,15,18,20,
22,29,38,39,45,53,56,61,65,66,71,74,76,79,90,96,99,100,105,122,147,151,155,
184,191,197,211,215,228,232,236,253,254,266,292,297,307,308,313,315,323,341,
359,360,431,500,510,549,558,569,603,604,614,630,650,700,803,935,953,954,960,
980,981,1001,1207,1215,1248,1288,1412,1545],[1,2,3,4,5,6,7,8,9,13,15,18,20,21,
22,23,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,53,55,60,61,65,66,67,71,
72,73,75,76,79,91,96,97,98,99,100,101,104,105,106,107,108,109,110,111,112,113,
114,115,116,117,118,119,120,121,133,139,140,146,148,150,151,152,156,158,192,
197,198,211,212,213,216,217,218,219,220,227,228,229,230,235,239,240,241,242,
255,256,257,267,269,271,273,276,277,282,293,295,302,303,304,305,306,307,308,
311,312,313,314,315,316,317,318,319,329,331,332,333,334,341,342,343,344,345,
346,347,348,358,362,435,436,441,442,509,518,521,530,534,535,560,563,564,571,
572,573,577,579,581,583,584,586,590,592,610,616,620,622,627,633,636,638,642,
650,651,652,653,654,656,657,658,663,664,665,666,675,676,677,678,679,680,681,
682,683,684,685,686,687,688,693,695,696,697,700,701,702,703,704,706,812,934,
937,938,941,944,946,947,948,970,972,989,996,1008,1013,1014,1020,1022,1023,
1031,1032,1033,1034,1035,1036,1038,1039,1040,1044,1047,1049,1050,1206,1210,
1211,1213,1217,1218,1222,1226,1317,1331,1417,1418,1420,1421,1424,1425,1426,
1546],[1,2,3,4,5,7,8,9,13,15,18,20,22,24,28,29,34,35,37,38,39,40,53,55,60,61,
65,66,67,71,72,73,75,76,79,90,96,97,98,99,100,101,104,105,110,116,118,133,139,
140,146,148,150,151,152,156,158,192,197,198,211,212,213,216,217,218,219,220,
227,228,229,230,235,239,240,241,242,255,256,257,266,270,272,292,297,302,303,
306,307,308,311,312,313,314,315,316,317,318,329,331,333,334,341,342,343,344,
345,358,362,435,436,441,442,509,518,521,530,534,535,560,563,564,568,569,570,
580,585,602,604,605,608,613,614,615,618,632,639,650,651,652,653,654,656,657,
658,663,664,665,675,676,677,678,679,680,681,682,683,684,685,686,687,688,693,
695,696,697,700,701,702,703,704,706,812,928,929,935,939,943,945,956,963,965,
966,983,984,986,990,1013,1014,1031,1032,1033,1034,1035,1036,1038,1039,1040,
1044,1047,1049,1050,1207,1208,1209,1214,1215,1216,1219,1223,1257,1331,1413,
1414,1415,1416,1422,1423,1427,1547],[1,2,3,9,10,11,13,19,39,40,56,57,67,70,79,
94,134,135,147,171,176,213,229,233,234,246,288,355,398,399,408,437,462,473,
597,744,761,898,1151,1227,1429,1548],[1,2,3,9,10,11,13,19,39,40,56,57,66,67,
70,79,94,134,135,147,171,176,213,229,231,234,246,288,355,396,399,408,437,462,
473,596,745,761,898,1152,1227,1429,1549],[1,2,3,4,8,9,10,11,12,13,14,15,16,19,
39,40,45,47,55,56,57,58,59,60,61,62,67,72,75,79,80,81,94,95,134,135,141,142,
145,146,147,157,158,168,171,175,176,177,181,184,188,213,216,229,233,234,235,
251,252,255,288,289,290,355,359,373,377,399,400,405,408,410,413,437,440,443,
459,462,480,499,502,513,546,560,598,726,748,761,778,787,813,819,844,878,1117,
1227,1429,1430,1431,1550],[1,3,5,6,7,11,23,24,25,26,30,41,90,91,92,93,102,269,
277,278,279,280,294,299,300,309,349,350,351,709,715,936,951,1057,1229,1333,
1551],[1,2,5,6,7,9,20,21,22,40,90,91,92,93,97,98,100,266,267,268,287,296,312,
349,350,351,568,570,572,711,712,713,929,951,1058,1230,1332,1552],[1,2,3,4,5,6,
7,13,15,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,53,90,91,92,93,104,
105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,266,267,
268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,
287,345,346,347,348,349,350,351,573,574,575,576,577,578,579,580,581,582,583,
584,586,587,588,589,590,591,592,593,594,595,707,708,709,710,711,712,713,714,
715,716,717,718,719,940,941,942,948,951,1053,1054,1059,1060,1061,1062,1063,
1064,1065,1066,1067,1228,1229,1230,1231,1232,1233,1234,1347,1349,1432,1433,
1434,1435,1436,1437,1438,1553],[1,2,3,4,7,12,13,14,15,18,22,27,30,34,35,36,45,
53,58,68,69,82,85,89,106,110,113,115,121,122,124,125,126,185,196,244,260,263,
291,323,339,347,352,550,599,600,601,671,952,1235,1439,1440,1441,1554],[1,2,5,
7,9,19,20,22,37,39,65,90,94,97,98,227,266,288,292,295,568,613,616,930,1070,
1071,1555],[1,2,5,7,9,19,20,22,39,40,67,90,94,97,98,229,266,288,292,296,568,
615,617,931,1070,1072,1556],[1,2,5,7,8,9,19,20,22,38,39,66,90,94,96,97,99,100,
101,127,228,266,288,292,297,307,308,311,313,353,569,570,585,596,614,700,724,
935,945,1070,1073,1215,1350,1445,1557],[1,2,4,5,6,7,8,9,15,19,20,21,22,29,31,
32,34,35,37,61,75,91,94,95,96,98,100,101,105,108,110,127,148,267,271,273,288,
289,290,293,295,306,318,341,344,353,354,571,572,581,598,610,652,722,724,725,
934,944,1071,1074,1206,1358,1446,1558],[1,2,4,5,7,8,9,15,19,20,22,29,34,35,39,
61,76,90,94,95,96,97,99,100,105,110,127,151,266,270,272,288,289,290,292,297,
307,315,341,343,353,354,569,570,580,598,604,650,722,724,725,935,943,1070,1074,
1207,1356,1445,1559],[1,2,3,5,6,7,9,13,19,20,21,22,23,24,25,26,30,37,66,79,91,
94,98,100,106,118,119,120,127,212,267,269,277,288,293,295,304,306,313,331,353,
572,573,586,596,633,702,724,934,947,1071,1073,1222,1352,1446,1560],[1,2,4,5,6,
7,9,15,19,20,21,22,27,28,31,32,33,37,67,76,91,94,98,100,104,107,108,121,127,
218,267,276,282,288,293,295,305,306,317,334,353,572,577,579,597,636,642,688,
724,934,938,1071,1075,1217,1354,1446,1561],[1,2,5,7,9,19,20,22,39,40,67,90,94,
97,98,100,127,229,266,288,292,297,307,312,334,353,568,570,597,615,618,675,724,
929,935,1070,1075,1216,1351,1445,1562],[1,2,3,4,7,8,9,10,11,12,13,14,15,16,17,
18,22,26,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,
61,62,63,64,71,72,73,74,75,76,77,78,79,80,81,82,83,84,86,120,122,123,128,129,
131,132,133,134,135,136,137,138,141,142,144,145,146,147,150,151,154,155,156,
157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,173,175,176,177,
178,179,180,181,182,183,184,185,186,187,188,191,192,193,194,197,198,201,202,
203,204,205,208,209,210,248,249,250,251,252,295,296,300,301,323,324,325,328,
360,361,362,363,364,368,369,370,371,372,373,374,375,376,377,378,379,382,383,
384,385,386,387,388,390,391,393,394,395,400,401,402,403,404,405,406,407,408,
409,410,412,413,414,417,418,419,420,423,427,428,429,430,487,488,489,490,491,
492,493,494,495,496,497,498,499,538,539,540,541,542,543,544,545,546,622,623,
626,629,659,662,729,730,731,732,733,735,739,740,741,742,753,757,762,763,764,
765,766,767,768,769,778,779,780,781,782,783,797,798,799,800,881,882,883,887,
888,889,890,891,961,962,1078,1079,1127,1128,1137,1138,1240,1241,1271,1272,
1296,1298,1361,1563],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,18,20,24,37,38,39,
40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,71,72,
73,74,75,76,77,78,79,80,81,82,83,84,86,99,100,118,128,129,131,132,133,134,135,
136,137,138,141,142,144,145,146,147,150,151,154,155,156,157,158,159,160,161,
162,163,164,165,166,167,168,169,170,171,173,175,176,177,178,179,180,181,182,
183,184,185,186,187,188,191,192,193,194,197,198,201,202,203,204,205,208,209,
210,248,249,250,251,252,292,299,306,308,329,360,361,362,363,364,368,369,370,
371,372,373,374,375,376,377,378,379,382,383,384,385,386,387,388,390,391,393,
394,395,400,401,402,403,404,405,406,407,408,409,410,412,413,414,417,418,419,
420,423,427,428,429,430,487,488,489,490,491,492,493,494,495,496,497,498,499,
538,539,540,541,542,543,544,545,546,602,603,604,605,621,624,654,729,730,731,
732,733,735,739,740,741,742,753,757,762,763,764,765,766,767,768,769,778,779,
780,781,782,783,797,798,799,800,881,882,883,887,888,889,890,891,954,955,956,
1009,1010,1028,1078,1079,1127,1128,1137,1138,1238,1252,1282,1361,1450,1564],[
1,2,3,4,6,8,9,10,11,12,13,14,15,16,17,18,21,23,25,37,38,39,40,41,42,43,44,45,
46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,71,72,73,74,75,76,77,78,
79,80,81,82,83,84,86,102,103,119,128,129,131,132,133,134,135,136,137,138,141,
142,144,145,146,147,150,151,154,155,156,157,158,159,160,161,162,163,164,165,
166,167,168,169,170,171,173,175,176,177,178,179,180,181,182,183,184,185,186,
187,188,191,192,193,194,197,198,201,202,203,204,205,208,209,210,248,249,250,
251,252,293,294,298,309,310,330,360,361,362,363,364,368,369,370,371,372,373,
374,375,376,377,378,379,382,383,384,385,386,387,388,390,391,393,394,395,400,
401,402,403,404,405,406,407,408,409,410,412,413,414,417,418,419,420,423,427,
428,429,430,487,488,489,490,491,492,493,494,495,496,497,498,499,538,539,540,
541,542,543,544,545,546,606,607,611,612,619,620,625,655,729,730,731,732,733,
735,739,740,741,742,753,757,762,763,764,765,766,767,768,769,778,779,780,781,
782,783,797,798,799,800,881,882,883,887,888,889,890,891,957,958,959,1011,1012,
1029,1030,1078,1079,1127,1128,1137,1138,1239,1253,1254,1283,1361,1451,1565],[
1,2,3,4,7,8,9,10,11,12,13,14,15,16,17,22,37,39,40,45,47,49,55,56,57,58,59,60,
61,62,67,72,74,75,79,80,81,101,122,123,134,135,139,141,142,143,145,146,147,
148,149,153,154,157,158,168,171,172,174,175,176,177,181,184,188,190,193,213,
216,229,233,234,235,251,252,255,295,296,297,323,325,355,357,359,363,365,373,
377,380,398,399,400,405,408,410,411,413,437,440,443,454,458,459,462,475,476,
480,499,502,513,546,560,608,609,610,649,698,699,726,727,738,743,748,750,760,
761,778,786,787,793,813,817,819,831,844,875,878,960,961,978,1114,1117,1131,
1193,1244,1245,1287,1326,1366,1566],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,18,20,
24,28,29,39,40,41,42,45,47,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,70,72,
73,74,75,76,77,78,79,80,81,85,87,88,89,99,100,104,105,116,118,132,134,135,136,
141,142,144,145,146,147,150,151,157,158,161,162,166,168,169,171,173,175,176,
177,178,179,181,183,184,188,191,192,195,196,199,200,206,207,214,215,219,220,
222,225,230,231,232,236,245,246,247,250,251,252,253,254,256,257,262,265,292,
299,315,316,317,329,345,373,375,377,382,385,392,393,394,400,401,404,405,408,
410,412,413,415,416,418,424,429,430,444,445,469,470,471,473,494,495,497,499,
503,504,509,510,511,512,522,523,524,525,531,532,537,538,542,546,547,549,554,
566,567,602,603,604,605,621,624,630,631,646,704,729,754,778,780,783,792,794,
797,799,855,856,860,862,865,873,879,883,885,898,900,903,909,910,918,920,923,
998,1000,1001,1009,1010,1017,1025,1028,1078,1120,1129,1135,1147,1171,1187,
1196,1238,1308,1323,1370,1450,1454,1567],[1,2,3,4,6,8,9,10,11,12,13,14,15,16,
18,21,23,25,31,32,37,38,41,42,43,44,45,47,52,53,54,55,56,57,58,59,60,61,62,63,
64,67,68,69,70,71,72,73,74,76,77,78,80,81,82,83,84,85,86,87,88,89,102,103,108,
109,111,114,119,132,133,136,137,138,141,142,144,145,154,155,156,159,160,161,
162,163,164,165,166,167,168,169,170,171,173,175,176,178,179,180,182,183,185,
186,187,188,191,192,195,196,199,200,206,207,217,218,221,222,223,224,225,226,
233,234,235,237,238,243,244,245,246,247,248,249,250,251,252,258,259,260,261,
262,263,264,265,293,294,298,320,321,322,330,348,374,376,378,379,382,385,392,
393,394,395,402,403,406,407,409,410,412,415,416,420,423,424,427,428,429,430,
443,445,446,471,472,473,474,475,494,495,496,497,498,499,505,506,507,508,516,
517,522,523,524,525,526,527,528,529,530,533,536,537,539,540,541,543,544,545,
548,550,553,554,565,566,567,606,607,611,612,619,620,625,640,641,642,647,705,
730,754,779,781,782,783,793,794,795,798,800,857,858,861,865,866,867,872,873,
880,881,882,886,899,901,902,904,909,910,911,918,919,920,921,922,1004,1005,
1006,1011,1012,1018,1023,1024,1029,1030,1079,1119,1120,1130,1136,1148,1172,
1173,1188,1197,1198,1239,1309,1324,1325,1371,1451,1455,1568],[1,2,3,4,5,8,9,
10,11,12,13,14,15,16,17,20,24,29,37,39,40,41,42,45,47,49,55,56,57,58,59,60,61,
62,63,64,65,67,72,74,75,76,77,78,79,80,81,97,99,100,105,118,134,135,136,139,
141,142,143,144,145,146,147,148,149,150,151,153,154,157,158,161,162,166,168,
169,171,173,175,176,177,179,181,183,184,188,190,193,213,215,216,218,219,227,
229,232,233,234,235,239,242,250,251,252,255,257,259,292,299,303,312,318,329,
343,357,363,365,373,375,377,380,382,393,394,397,398,400,401,404,405,408,410,
412,413,418,429,430,437,439,440,442,443,448,451,453,454,457,458,476,481,494,
495,497,499,502,503,505,513,514,538,542,546,560,562,564,602,603,604,605,613,
615,621,624,630,632,683,727,729,744,746,750,751,759,760,770,771,773,775,778,
780,783,786,789,791,797,799,813,816,817,821,831,837,875,877,883,964,965,968,
969,983,985,986,999,1003,1009,1010,1028,1078,1084,1098,1100,1107,1110,1111,
1114,1115,1238,1267,1269,1364,1448,1450,1569],[1,2,3,4,5,8,9,10,11,12,13,14,
15,16,17,20,24,28,29,37,38,39,40,41,42,45,47,49,55,56,57,58,59,60,61,62,63,64,
65,66,67,71,72,73,74,75,76,77,78,79,80,81,96,97,99,100,104,105,118,133,134,
135,136,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,
156,157,158,161,162,166,168,169,171,173,175,176,177,178,179,180,181,183,184,
188,189,190,193,194,211,212,214,215,216,217,220,227,228,229,230,231,232,233,
236,240,241,250,251,252,253,254,256,258,292,299,302,303,311,316,329,341,342,
356,357,358,364,366,367,373,375,376,377,380,381,382,393,394,396,397,398,400,
401,404,405,408,410,412,413,418,429,430,436,438,439,440,441,444,447,449,450,
452,455,456,457,458,477,482,494,495,497,499,500,501,504,506,512,515,538,542,
546,558,559,561,563,602,603,604,605,613,614,615,621,624,630,631,632,682,728,
729,744,745,746,749,752,758,759,760,772,774,776,778,780,783,784,785,788,790,
797,799,814,815,818,820,830,836,874,876,883,963,966,967,968,969,981,982,984,
987,998,1002,1009,1010,1028,1078,1083,1084,1099,1101,1105,1106,1108,1109,1113,
1116,1238,1268,1270,1365,1447,1448,1450,1570],[1,2,3,4,5,8,9,10,11,12,13,14,
15,16,20,24,39,40,41,42,45,47,55,56,57,58,59,60,61,62,63,64,67,68,69,72,75,76,
77,78,79,80,81,99,100,118,134,135,136,141,142,144,145,146,147,150,151,157,158,
161,162,166,168,169,171,172,173,174,175,176,177,179,181,183,184,188,233,234,
235,237,238,243,244,250,251,252,292,299,329,333,334,373,375,377,382,393,394,
400,401,404,405,408,410,411,412,413,418,429,430,443,446,454,458,459,460,461,
462,463,464,472,474,475,494,495,497,499,538,542,546,602,603,604,605,621,624,
693,729,738,778,780,783,793,795,797,799,817,819,824,854,883,892,894,902,922,
974,975,1009,1010,1028,1078,1095,1103,1131,1173,1238,1306,1327,1389,1450,
1571],[1,2,3,4,6,8,9,10,11,12,13,14,15,16,21,23,25,37,38,41,42,43,44,45,47,55,
56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,77,78,80,81,82,83,84,86,
102,103,119,133,136,137,138,141,142,144,145,154,155,156,159,160,161,162,163,
164,165,166,167,168,169,170,171,172,173,174,175,176,178,180,182,183,185,186,
187,188,230,231,232,236,237,238,243,244,245,246,247,248,249,250,251,252,293,
294,298,330,335,336,374,376,378,379,382,393,394,395,402,403,406,407,409,410,
411,412,420,423,427,428,429,430,444,445,446,449,450,456,457,460,461,463,464,
465,466,467,468,469,470,471,472,473,474,494,495,496,497,498,499,539,540,541,
543,544,545,606,607,611,612,619,620,625,694,730,738,779,781,782,783,792,794,
795,798,800,818,822,823,824,853,854,881,882,893,895,903,904,921,923,976,977,
1011,1012,1029,1030,1079,1096,1102,1103,1132,1171,1172,1239,1307,1328,1329,
1390,1451,1572],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,20,24,39,40,41,42,45,47,
55,56,57,58,59,60,61,62,63,64,67,72,75,76,77,78,79,80,81,99,100,118,134,135,
136,141,142,144,145,146,147,150,151,157,158,161,162,166,168,169,171,173,175,
176,177,179,181,183,184,188,213,216,229,233,234,235,250,251,252,255,292,299,
307,329,331,355,359,373,375,377,382,393,394,399,400,401,404,405,408,410,412,
413,418,429,430,437,440,443,459,462,480,494,495,497,499,502,513,538,542,546,
560,602,603,604,605,621,624,656,726,729,747,748,761,777,778,780,783,787,797,
799,813,819,844,878,883,953,995,1009,1010,1028,1078,1085,1097,1112,1117,1238,
1246,1363,1450,1458,1573],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,20,24,39,40,41,
42,45,47,55,56,57,58,59,60,61,62,63,64,65,66,72,75,76,77,78,79,80,81,99,100,
118,134,135,136,141,142,144,145,146,147,150,151,157,158,161,162,166,168,169,
170,171,173,175,176,177,179,181,183,184,188,230,231,232,236,248,250,251,252,
292,299,313,314,329,373,375,377,382,393,394,400,401,404,405,408,410,412,413,
418,427,429,430,431,432,444,451,452,494,495,497,499,538,542,546,555,602,603,
604,605,621,624,663,729,736,778,780,783,796,797,799,853,859,869,883,896,979,
980,1009,1010,1028,1078,1125,1139,1238,1284,1362,1450,1574],[1,2,3,4,5,9,10,
11,13,15,18,20,24,28,29,37,39,40,41,42,53,56,57,60,65,66,67,70,72,74,75,76,79,
87,88,97,100,104,105,116,118,134,135,136,139,147,150,153,154,157,171,176,191,
198,207,212,213,214,215,216,218,219,220,222,225,227,229,232,233,234,236,239,
240,246,254,258,292,299,303,315,331,342,345,355,357,361,394,397,398,399,408,
415,431,434,437,439,440,442,457,458,462,469,473,478,507,510,519,531,532,534,
537,557,559,561,566,603,613,615,621,624,630,631,632,646,665,729,744,746,747,
759,760,761,809,811,842,898,900,905,910,923,925,926,968,969,982,995,1001,1017,
1025,1084,1085,1147,1151,1154,1164,1175,1238,1315,1410,1448,1454,1458,1575],[
1,2,3,4,5,8,9,10,11,13,15,18,20,24,28,29,38,39,40,41,42,53,56,57,61,65,66,67,
70,71,74,76,79,87,88,96,100,104,105,116,118,134,135,136,140,147,149,151,155,
171,176,191,197,207,211,213,214,215,217,219,220,222,225,228,229,231,234,236,
241,242,246,253,259,292,299,302,317,331,341,345,355,356,360,394,396,399,408,
415,432,433,437,438,441,456,462,469,473,479,508,511,520,531,532,535,537,556,
558,562,566,603,614,621,624,630,631,646,664,729,745,747,758,761,808,810,843,
898,900,906,910,923,924,927,967,981,995,1000,1017,1025,1083,1085,1147,1152,
1153,1165,1176,1238,1314,1409,1447,1454,1458,1576],[1,2,3,4,7,8,9,10,11,13,15,
18,22,26,27,30,33,34,35,38,39,40,41,42,53,56,57,61,65,66,67,70,71,74,76,79,87,
88,98,101,106,107,110,112,113,115,117,120,121,134,135,136,140,147,149,151,155,
171,176,191,197,207,211,213,214,215,217,219,220,222,225,228,229,231,234,236,
241,242,246,253,259,296,300,304,305,319,332,344,346,347,355,356,360,394,396,
399,408,415,432,433,437,438,441,456,462,469,473,479,508,511,520,531,532,535,
537,556,558,562,566,609,617,623,626,628,634,635,637,644,645,666,729,745,747,
758,761,808,810,843,898,900,906,910,923,924,927,971,973,988,997,1007,1019,
1021,1027,1083,1085,1147,1152,1153,1165,1176,1240,1316,1409,1449,1456,1459,
1577],[1,2,3,4,7,8,9,12,13,14,15,18,22,26,27,30,33,34,35,38,39,40,43,45,46,53,
56,58,61,65,66,67,68,69,71,74,76,79,82,85,89,98,101,106,107,110,112,113,115,
117,120,121,122,128,134,137,140,147,149,151,155,168,184,185,191,196,197,211,
213,215,217,219,220,224,226,228,229,232,234,236,241,242,244,248,252,253,254,
259,260,263,296,301,304,305,319,323,324,332,339,344,346,347,356,359,360,397,
405,406,416,431,433,437,441,449,459,470,474,478,480,487,500,508,510,520,531,
535,536,549,550,555,557,558,562,609,617,623,628,629,634,635,637,643,648,659,
666,667,671,739,770,785,801,803,810,833,856,857,859,878,892,893,907,915,916,
925,971,973,988,997,1007,1019,1021,1026,1043,1086,1144,1156,1160,1168,1170,
1192,1271,1316,1405,1465,1468,1469,1578],[1,2,3,4,7,8,9,10,11,12,13,14,15,16,
17,18,22,26,27,30,33,34,35,37,38,39,40,45,46,47,48,49,50,51,52,53,54,55,56,57,
58,59,60,61,62,63,64,65,66,67,71,72,73,74,75,76,77,78,79,80,81,82,83,84,86,98,
101,106,107,110,112,113,115,117,120,121,122,123,128,129,130,131,132,133,134,
135,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,
157,158,168,169,170,171,175,176,177,178,179,180,181,182,183,184,185,186,187,
188,189,190,191,192,193,194,197,198,201,202,203,204,205,208,209,210,211,212,
213,214,215,216,217,218,219,220,227,228,229,230,231,232,233,234,235,236,239,
240,241,242,248,249,250,251,252,253,254,255,256,257,258,259,295,296,304,305,
319,323,324,325,326,327,328,332,337,338,339,340,344,346,347,356,357,358,360,
361,362,363,364,365,366,367,373,375,376,377,380,381,383,384,385,386,387,388,
389,390,391,395,396,397,398,400,401,404,405,408,410,412,413,414,417,418,419,
420,423,427,428,433,434,435,436,437,438,439,440,441,442,443,444,447,448,449,
450,451,452,453,454,455,456,457,458,476,477,481,482,487,488,489,490,491,492,
493,495,496,498,499,500,501,502,503,504,505,506,507,508,509,512,513,514,515,
518,519,520,521,530,531,534,535,538,539,541,542,543,546,547,548,551,552,558,
559,560,561,562,563,564,609,610,616,617,622,623,627,628,633,634,635,636,637,
638,659,660,661,662,666,667,668,669,670,671,672,673,674,698,699,727,728,731,
734,735,737,749,750,751,752,753,757,758,759,760,762,763,764,765,778,780,782,
784,785,786,788,789,790,791,805,806,807,810,811,812,813,814,815,816,817,818,
820,821,826,827,830,831,834,835,836,837,838,839,840,841,861,862,863,864,868,
869,870,871,874,875,876,877,881,889,890,891,961,970,971,972,973,988,989,996,
997,1007,1008,1019,1020,1021,1022,1037,1041,1042,1043,1045,1046,1051,1052,
1077,1081,1113,1114,1115,1116,1121,1122,1123,1124,1126,1127,1149,1162,1163,
1183,1184,1245,1259,1261,1262,1264,1296,1297,1316,1317,1330,1401,1466,1474,
1477,1478,1482,1493,1494,1579],[1,2,3,4,7,8,9,10,11,12,13,14,15,16,17,18,22,
26,27,30,33,34,35,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,
62,63,64,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,98,
101,106,107,110,112,113,115,117,120,121,122,128,129,131,132,136,137,138,141,
142,144,145,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,
175,176,177,178,179,180,181,182,183,184,185,186,187,188,191,192,193,194,195,
196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,221,222,223,224,
225,226,237,238,243,244,245,246,247,248,249,250,251,252,260,261,262,263,264,
265,304,305,319,323,324,326,332,337,338,339,340,344,346,347,368,369,370,371,
372,374,378,379,382,383,384,385,386,387,388,390,391,392,393,394,402,403,406,
407,409,410,411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,426,
429,430,445,446,460,461,463,464,465,466,467,468,471,472,473,474,483,484,485,
486,487,488,489,490,491,492,493,494,495,496,497,498,499,516,517,522,523,524,
525,526,527,528,529,533,536,537,538,539,540,541,542,543,544,545,546,550,553,
554,566,567,649,659,660,666,667,668,669,670,671,672,673,674,698,732,733,738,
753,754,755,756,757,766,767,768,769,779,781,783,794,795,822,823,824,828,829,
845,846,847,848,849,850,851,852,854,857,858,865,866,867,873,880,882,883,887,
888,889,890,891,901,909,910,918,920,978,991,992,993,994,1015,1016,1037,1041,
1042,1043,1045,1046,1051,1093,1103,1120,1128,1130,1132,1134,1180,1181,1185,
1186,1260,1287,1294,1295,1303,1304,1305,1319,1320,1321,1322,1330,1387,1484,
1485,1492,1495,1497,1498,1499,1580],[1,2,3,4,7,8,9,10,11,12,13,14,15,16,18,22,
26,27,30,33,34,35,39,40,43,44,45,46,47,48,52,53,54,55,56,57,58,59,60,61,62,63,
64,67,71,72,75,76,79,80,81,82,83,84,86,98,101,106,107,110,112,113,115,117,120,
121,122,128,129,132,134,135,137,138,141,142,144,145,146,147,157,158,159,160,
163,167,168,169,170,171,173,175,176,177,179,180,181,182,184,185,186,187,188,
197,198,201,204,209,210,213,216,229,233,234,235,248,249,250,251,252,255,297,
304,305,319,323,324,326,332,337,338,339,340,344,346,347,355,359,373,374,377,
379,383,386,388,391,399,400,401,402,403,404,405,406,407,408,409,410,413,414,
417,420,427,428,429,430,437,440,443,459,462,480,487,488,489,490,491,492,497,
498,499,502,513,539,541,542,544,545,546,555,560,608,618,639,659,660,666,667,
668,669,670,671,672,673,674,698,726,739,741,742,748,761,764,765,768,769,778,
779,787,796,799,800,801,802,813,819,844,859,878,887,891,896,916,917,960,990,
1037,1041,1042,1043,1045,1046,1051,1082,1117,1137,1139,1169,1170,1190,1200,
1242,1243,1244,1258,1263,1285,1286,1330,1383,1453,1475,1480,1481,1486,1487,
1496,1581],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,18,20,24,28,29,37,38,39,40,
45,47,49,52,53,54,55,56,57,58,59,60,61,62,65,66,67,71,72,73,74,75,76,79,80,81,
85,87,88,89,96,97,99,100,104,105,116,118,132,133,134,135,139,140,141,142,143,
145,146,147,148,149,150,151,152,153,154,155,156,157,158,168,171,175,176,177,
178,179,180,181,184,188,189,190,191,192,193,194,195,196,197,198,199,200,206,
207,211,212,213,214,215,216,217,218,219,220,227,228,229,230,231,232,233,234,
235,236,239,240,241,242,251,252,253,254,255,256,257,258,259,292,302,303,306,
307,308,311,312,313,314,315,316,317,318,329,331,333,334,341,342,343,345,355,
356,357,358,359,360,361,362,364,366,367,373,375,376,377,380,381,385,386,392,
396,397,399,400,405,408,410,413,415,416,424,431,432,433,434,435,436,437,438,
439,440,441,442,443,444,447,448,449,450,456,457,459,462,469,470,477,478,479,
480,499,500,501,502,503,504,505,506,507,508,509,510,511,512,513,514,515,518,
519,520,521,530,531,532,534,535,546,547,548,549,551,552,556,557,558,559,560,
561,562,563,564,602,603,604,605,613,614,615,621,630,631,632,650,651,652,653,
654,656,657,658,663,664,665,675,676,677,678,679,680,681,682,683,684,685,686,
687,688,693,695,696,697,700,701,702,703,704,706,726,728,731,736,737,748,749,
754,758,759,761,778,784,785,787,792,803,804,805,806,807,808,809,810,811,812,
813,814,815,816,818,819,825,830,832,833,842,843,844,855,856,860,861,862,863,
864,874,878,879,897,900,905,906,907,908,912,913,914,915,924,925,926,927,953,
954,955,956,963,964,965,966,967,968,969,974,975,979,980,981,982,983,984,985,
986,987,995,998,999,1000,1001,1002,1003,1009,1010,1013,1014,1017,1031,1032,
1033,1034,1035,1036,1038,1039,1040,1044,1047,1049,1050,1080,1081,1113,1117,
1129,1155,1156,1157,1158,1159,1174,1175,1176,1182,1199,1246,1247,1248,1249,
1250,1251,1255,1256,1257,1267,1268,1269,1270,1273,1274,1275,1276,1277,1282,
1284,1288,1289,1290,1291,1292,1293,1299,1300,1301,1302,1306,1308,1310,1311,
1312,1313,1314,1315,1318,1331,1399,1452,1460,1461,1462,1463,1464,1467,1471,
1472,1473,1476,1483,1488,1490,1491,1582],[1,2,3,4,6,7,10,11,13,15,18,21,22,23,
25,27,30,31,32,34,35,41,42,53,57,70,87,88,92,102,103,106,108,109,110,111,113,
114,115,119,121,136,207,222,225,246,268,274,275,279,280,281,284,309,310,320,
321,322,330,335,336,347,348,349,537,575,578,582,588,589,594,595,655,689,690,
691,692,694,705,709,710,712,716,717,942,1048,1053,1056,1057,1060,1061,1062,
1066,1333,1334,1335,1336,1337,1338,1340,1341,1347,1505,1509,1511,1512,1513,
1514,1517,1583],[1,2,3,4,5,6,7,8,9,13,15,18,20,21,22,23,24,25,26,27,28,29,30,
31,32,33,34,35,38,40,53,61,65,67,71,76,79,90,91,92,96,97,98,99,100,101,104,
105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,140,197,
211,213,217,219,242,266,267,268,269,270,271,272,273,274,275,276,277,278,279,
280,281,282,283,284,302,304,305,308,311,312,314,317,319,331,332,333,341,343,
344,345,346,347,348,350,535,568,569,570,571,572,573,574,575,576,577,578,579,
580,581,582,583,584,585,586,588,589,590,591,592,593,594,595,658,664,666,676,
684,695,697,703,707,708,711,714,715,928,929,930,931,932,933,937,938,939,940,
941,942,943,944,945,946,947,948,949,1039,1054,1055,1058,1059,1063,1064,1065,
1202,1203,1204,1205,1223,1224,1225,1226,1332,1339,1342,1343,1344,1345,1346,
1348,1349,1428,1504,1506,1507,1508,1510,1515,1516,1584],[1,2,3,4,8,9,13,14,15,
16,17,36,37,38,40,45,46,47,48,49,50,51,55,56,60,61,71,72,73,74,75,124,128,129,
130,131,133,134,139,140,141,142,143,148,149,152,153,154,155,156,157,158,177,
178,180,181,189,190,193,194,356,357,358,363,364,365,366,367,376,377,380,381,
383,384,389,720,721,727,728,734,735,1068,1069,1077,1585],[1,2,4,6,15,17,21,31,
32,36,49,50,93,108,124,125,126,130,285,286,287,352,587,720,1068,1521,1586],[1,
2,3,4,8,9,10,11,12,13,14,15,16,17,18,37,38,39,40,41,42,43,44,45,46,47,48,49,
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,
76,77,78,79,80,81,82,83,84,85,86,87,88,89,128,129,130,131,132,133,134,135,136,
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,
251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,355,356,357,358,
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,
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,
916,917,918,919,920,921,922,923,924,925,926,927,1077,1078,1079,1080,1081,1082,
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,
1188,1189,1190,1191,1192,1193,1194,1195,1196,1197,1198,1199,1200,1201,1361,
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,
1407,1408,1409,1410,1411,1522,1523,1524,1525,1526,1527,1528,1529,1530,1531,
1532,1533,1534,1535,1536,1587],[1,2,3,4,5,7,8,9,12,13,14,15,18,20,22,29,38,39,
40,45,53,56,58,61,65,66,67,71,74,76,79,85,89,90,96,97,98,99,100,105,122,134,
140,147,149,151,155,168,184,191,196,197,211,213,215,217,219,220,228,229,232,
234,236,241,242,252,253,254,259,266,292,297,307,308,311,312,313,315,323,334,
341,343,356,359,360,397,405,416,431,433,437,441,449,459,470,478,480,500,508,
510,520,531,535,549,557,558,562,568,569,603,604,614,615,618,630,650,658,667,
675,677,686,696,700,785,803,810,833,856,878,907,915,925,928,935,953,954,960,
964,966,974,980,981,985,1001,1032,1156,1207,1215,1216,1248,1255,1258,1273,
1288,1293,1299,1310,1412,1416,1491,1537,1545,1588],[1,2,3,4,5,7,9,12,13,14,15,
18,20,22,28,37,39,40,45,53,56,58,60,65,66,67,72,74,75,76,79,85,89,90,97,98,
100,104,122,134,139,147,150,153,154,157,168,184,191,196,198,212,213,214,218,
219,220,227,229,231,234,236,239,240,252,253,254,258,266,292,297,306,307,312,
314,317,323,334,342,357,359,361,396,405,416,432,434,437,442,450,459,470,479,
480,501,507,511,519,531,534,549,556,559,561,568,570,603,605,613,615,618,631,
651,657,667,675,678,688,695,701,784,804,811,832,856,878,908,914,924,929,935,
953,955,960,964,965,974,979,982,987,1000,1033,1155,1208,1214,1216,1247,1256,
1258,1274,1289,1292,1300,1310,1412,1415,1490,1537,1544,1589],[1,2,3,4,5,7,8,9,
10,11,12,13,14,15,16,20,22,24,29,34,35,39,40,45,47,55,56,57,58,59,60,61,62,67,
72,75,79,80,81,90,97,98,99,100,101,105,110,118,122,134,135,141,142,145,146,
147,157,158,168,171,175,176,177,181,184,188,213,216,229,233,234,235,251,252,
255,266,270,272,292,297,303,307,312,318,323,329,331,333,334,337,338,343,344,
355,359,373,377,399,400,405,408,410,413,437,440,443,459,462,480,499,502,513,
546,560,568,580,585,602,603,608,615,618,621,632,639,656,667,668,675,683,685,
693,697,698,706,726,748,761,778,787,813,819,844,878,935,939,953,960,964,969,
974,975,983,990,995,999,1009,1036,1037,1117,1209,1216,1219,1244,1246,1258,
1263,1267,1277,1306,1310,1311,1318,1412,1427,1473,1475,1537,1538,1539,1590],[
1,2,3,5,7,9,12,13,14,20,22,26,30,39,40,43,45,46,56,58,67,79,82,90,97,98,100,
106,120,122,128,134,137,147,168,184,185,213,229,234,248,252,266,278,292,297,
304,307,312,323,324,334,339,359,405,406,437,459,480,487,555,568,574,603,615,
618,659,667,671,675,739,801,859,878,916,932,935,953,960,964,974,1043,1170,
1216,1242,1258,1285,1310,1412,1480,1537,1540,1591],[1,2,3,4,5,7,9,12,13,14,15,
16,20,22,27,33,39,40,44,45,47,48,56,58,67,76,79,83,86,90,97,98,100,107,121,
122,129,134,138,147,168,169,179,182,184,186,213,229,234,248,249,250,251,252,
266,283,292,297,305,307,312,323,326,334,340,359,401,402,405,407,437,459,480,
488,491,555,568,576,603,615,618,660,667,670,675,741,802,859,878,917,933,935,
953,960,964,974,1042,1169,1216,1243,1258,1286,1310,1412,1481,1537,1541,1592],[
1,2,3,5,7,9,12,13,14,20,22,39,40,45,56,58,67,68,69,79,90,97,98,100,122,134,
147,168,184,213,229,233,234,244,252,266,292,297,307,312,323,334,359,398,405,
437,459,474,480,568,603,615,618,667,675,771,878,892,931,935,953,960,964,974,
1143,1216,1258,1310,1412,1537,1593],[1,2,3,5,7,9,12,13,14,20,22,39,40,45,56,
58,65,67,68,69,79,90,97,98,100,122,134,147,168,184,213,229,232,234,244,252,
266,292,297,307,312,323,334,359,397,405,437,459,474,480,568,603,615,618,667,
675,770,878,892,930,935,953,960,964,974,1144,1216,1258,1310,1412,1537,1594],[
1,2,3,4,5,7,9,10,11,12,13,14,15,16,18,20,22,26,27,29,30,33,34,35,39,45,46,47,
48,52,53,54,56,57,58,59,62,63,64,67,75,79,80,81,82,84,86,90,100,105,106,107,
110,112,113,115,117,120,121,122,128,129,132,144,145,147,171,173,177,184,185,
186,187,188,201,204,209,210,216,234,248,249,250,252,255,266,270,272,278,283,
292,297,307,318,323,324,326,333,337,338,339,340,346,347,359,388,391,413,462,
480,487,488,492,497,513,544,545,555,574,576,580,591,593,603,632,639,659,660,
668,669,670,671,672,673,674,685,801,802,844,887,896,916,917,935,940,953,960,
975,999,1045,1046,1200,1219,1242,1243,1263,1277,1285,1286,1412,1486,1487,1539,
1540,1541,1595],[1,2,3,4,5,7,8,9,10,11,13,14,15,16,17,18,20,22,28,29,34,35,37,
38,39,45,47,49,53,56,57,60,61,65,66,67,71,72,73,74,75,76,79,80,81,87,88,90,96,
97,99,100,104,105,110,122,147,148,150,151,152,154,155,171,177,184,188,189,190,
191,194,197,198,207,211,212,214,215,216,217,218,227,228,231,232,234,236,239,
240,241,242,253,254,255,256,257,258,259,266,270,272,292,297,306,307,308,313,
314,315,316,317,318,323,333,337,338,341,342,343,359,360,361,366,413,415,431,
432,433,434,456,457,462,469,477,478,479,480,500,501,507,508,510,511,513,514,
515,518,521,547,549,551,552,556,557,558,559,563,564,569,570,580,603,604,605,
613,614,630,631,632,639,650,651,652,653,668,676,679,680,681,684,685,687,700,
701,803,804,805,806,830,842,843,844,879,905,906,912,913,914,915,935,943,953,
954,955,960,975,979,980,981,982,984,986,999,1000,1001,1002,1003,1049,1050,
1199,1207,1208,1214,1215,1219,1247,1248,1249,1250,1263,1275,1276,1277,1288,
1289,1290,1291,1301,1302,1412,1422,1423,1471,1472,1539,1544,1545,1596],[1,2,3,
5,6,7,9,10,11,13,20,21,22,23,24,25,26,30,39,40,41,42,56,57,67,79,91,98,100,
102,103,106,118,119,120,134,135,136,147,171,176,213,229,234,267,269,277,292,
294,296,299,300,304,309,310,330,331,355,394,399,408,437,462,572,573,586,603,
617,619,621,623,624,626,634,655,729,747,761,936,947,971,995,1029,1085,1212,
1238,1240,1254,1449,1458,1542,1597],[1,2,3,4,5,6,7,8,9,10,11,13,15,20,21,22,
23,24,25,26,27,28,38,39,40,41,42,56,57,61,66,71,74,91,96,101,102,103,104,118,
119,120,121,134,135,136,140,149,155,171,176,214,228,231,267,269,282,292,294,
296,299,300,302,309,310,330,332,356,394,396,408,438,456,571,577,586,609,614,
619,621,623,624,626,628,631,655,729,745,758,936,946,967,997,1029,1083,1212,
1238,1240,1254,1447,1459,1542,1598],[1,2,3,4,5,7,8,9,13,14,15,16,18,20,22,24,
28,29,37,38,39,45,47,52,53,54,55,56,60,61,65,66,71,72,73,74,76,79,90,96,97,99,
100,101,104,105,116,118,122,132,133,135,141,142,146,147,150,151,154,155,156,
178,179,180,184,191,192,197,198,211,212,214,215,227,228,230,231,232,236,253,
254,266,292,297,302,303,306,307,308,311,313,314,315,316,317,323,329,331,341,
342,345,355,359,360,361,362,373,375,376,385,386,431,432,436,438,439,444,500,
501,510,511,512,532,549,558,559,569,570,585,602,603,604,605,608,613,614,621,
630,631,650,651,654,656,663,664,665,682,698,700,701,702,703,704,726,731,736,
803,804,808,809,814,860,935,945,953,954,955,956,960,963,967,968,979,980,981,
982,995,998,1000,1001,1009,1010,1014,1017,1038,1080,1207,1208,1209,1214,1215,
1244,1246,1247,1248,1268,1282,1284,1288,1289,1308,1312,1313,1314,1315,1412,
1413,1414,1452,1467,1538,1544,1545,1599],[1,2,3,4,5,6,7,9,10,11,13,15,18,20,
21,22,23,24,25,26,28,29,31,32,33,34,35,39,40,41,42,53,56,57,65,66,70,74,76,87,
88,91,102,103,104,105,107,108,109,110,111,112,114,116,117,118,119,120,134,135,
136,171,176,191,207,214,215,219,220,222,225,236,246,267,269,271,273,276,292,
294,296,299,300,309,310,320,321,322,330,335,336,345,346,348,394,408,415,469,
473,531,532,537,566,579,581,583,584,586,619,621,623,624,626,630,631,635,637,
644,645,646,647,655,689,690,691,692,694,705,729,898,900,910,923,936,948,1017,
1021,1024,1025,1027,1029,1048,1147,1212,1220,1221,1238,1240,1254,1324,1328,
1419,1454,1456,1501,1542,1600],[1,2,3,4,5,6,7,8,9,10,11,12,13,15,18,20,21,22,
23,24,25,26,28,29,31,32,33,34,35,37,38,41,42,43,44,53,55,57,58,67,68,69,70,73,
76,85,87,88,89,91,99,100,102,103,104,105,107,108,109,110,111,112,114,116,117,
118,119,120,133,136,137,138,170,173,175,192,196,207,217,218,221,222,223,224,
225,226,235,244,246,267,269,271,273,276,293,294,295,298,299,300,301,306,308,
309,310,315,316,317,320,321,322,329,330,333,334,335,336,345,346,348,393,395,
409,424,471,472,475,530,533,536,537,565,567,579,581,583,584,586,619,620,622,
624,625,626,629,636,638,640,641,642,643,644,645,646,647,648,654,655,684,686,
687,688,689,690,691,692,693,694,704,705,730,899,901,909,911,921,922,934,936,
948,1018,1022,1023,1024,1025,1026,1027,1028,1030,1047,1048,1148,1211,1212,
1217,1218,1220,1221,1239,1241,1252,1253,1323,1325,1327,1329,1418,1419,1455,
1457,1500,1502,1543,1601],[1,2,3,4,5,7,8,9,12,13,14,15,16,20,22,24,26,27,30,
33,39,45,46,47,48,55,56,58,71,72,79,82,86,90,99,100,101,106,107,118,120,121,
122,128,129,135,141,146,147,169,170,180,181,184,185,186,248,250,252,266,278,
283,292,297,307,319,323,324,326,329,331,332,339,340,355,359,373,383,404,417,
427,487,488,541,555,574,576,585,602,603,608,621,656,659,660,670,671,698,726,
764,796,801,802,935,949,953,960,995,1009,1041,1051,1082,1209,1242,1243,1244,
1246,1285,1286,1412,1453,1496,1538,1540,1541,1602],[1,2,3,4,8,9,10,11,12,13,
14,15,16,19,39,40,45,47,55,56,57,58,59,60,61,62,66,67,70,72,75,79,80,81,94,95,
134,135,141,142,145,146,147,157,158,168,171,175,176,177,181,184,188,213,216,
229,231,233,234,235,240,241,245,246,247,251,252,255,288,289,290,355,359,373,
377,396,398,399,400,405,408,410,413,437,440,443,445,447,459,462,471,473,480,
482,499,502,513,546,560,596,597,598,726,744,745,748,752,761,772,778,787,794,
813,819,844,878,885,898,950,1099,1117,1135,1151,1152,1227,1376,1429,1430,1431,
1548,1549,1550,1603],[1,2,3,5,6,7,10,11,13,20,21,22,23,24,25,26,30,41,42,57,
90,91,92,93,102,103,106,118,119,120,136,266,267,268,269,277,278,279,280,287,
294,299,300,309,310,330,349,350,351,573,574,575,586,619,624,626,655,709,710,
711,712,713,715,936,951,1053,1056,1057,1059,1212,1228,1229,1230,1333,1334,
1335,1438,1505,1551,1604],[1,3,4,5,6,7,11,18,23,24,25,26,27,28,29,30,31,32,33,
34,41,70,88,90,91,92,93,102,109,113,114,116,117,225,269,272,273,275,276,277,
278,279,280,281,282,283,284,286,294,299,300,309,320,335,349,350,351,584,589,
590,591,594,645,646,647,689,708,709,714,715,716,718,936,951,1057,1061,1064,
1221,1229,1231,1234,1333,1336,1341,1435,1513,1551,1605],[1,3,4,5,6,7,11,18,23,
24,25,26,27,28,29,30,31,32,33,35,41,70,88,90,91,92,93,102,111,112,114,115,116,
225,269,270,271,274,276,277,278,279,280,281,282,283,284,285,294,299,300,309,
321,336,349,350,351,583,588,592,593,595,644,646,647,690,707,709,714,715,717,
719,936,951,1057,1060,1065,1220,1229,1232,1233,1333,1337,1340,1434,1514,1551,
1606],[1,2,4,5,6,7,8,9,15,20,21,22,27,29,31,32,34,35,38,40,61,90,91,92,93,96,
97,98,99,100,101,105,108,110,121,140,266,267,268,270,271,272,273,274,275,281,
284,287,296,308,311,312,341,343,344,349,350,351,568,569,570,571,572,578,580,
581,582,585,628,658,707,708,711,712,713,716,717,928,929,939,943,944,945,951,
1054,1055,1058,1066,1223,1230,1231,1232,1332,1342,1343,1437,1504,1552,1607],[
1,2,3,5,6,7,9,13,20,21,22,23,24,25,26,30,40,67,79,90,91,92,93,97,98,100,106,
118,119,120,213,266,267,268,269,277,278,279,280,287,296,304,312,331,333,349,
350,351,568,570,572,573,574,575,586,634,697,709,710,711,712,713,715,929,931,
932,947,951,1053,1058,1059,1203,1228,1229,1230,1332,1344,1346,1438,1516,1552,
1608],[1,2,4,5,6,7,9,15,20,21,22,27,28,31,32,33,34,35,40,65,76,90,91,92,93,97,
98,100,104,107,108,110,121,219,266,267,268,274,275,276,281,282,283,284,285,
286,287,296,305,312,314,317,349,350,351,568,570,572,576,577,578,579,582,587,
637,695,711,712,713,714,716,717,718,719,929,930,933,938,951,1058,1063,1066,
1067,1205,1230,1233,1234,1332,1339,1345,1436,1515,1552,1609],[1,3,4,7,11,12,
14,16,17,18,26,33,34,36,41,43,46,51,52,62,64,68,70,77,81,83,85,86,88,117,122,
123,162,167,172,195,204,208,224,225,238,245,261,265,291,300,301,324,328,338,
340,369,421,464,465,485,525,527,645,648,649,673,721,849,962,991,992,1016,1236,
1266,1322,1610],[1,2,3,5,7,8,9,13,19,20,22,26,30,37,38,39,55,65,66,79,90,94,
96,97,98,99,106,120,133,146,211,212,227,228,230,266,278,288,292,295,304,311,
436,568,569,574,596,602,613,614,616,622,633,928,930,932,963,970,1070,1071,
1202,1350,1352,1555,1611],[1,2,3,5,7,9,13,19,20,22,26,30,39,40,56,67,79,90,94,
97,98,100,106,120,134,147,213,229,234,266,278,288,292,296,304,312,437,568,570,
574,597,603,615,617,623,634,929,931,932,964,971,1070,1072,1203,1351,1353,1556,
1612],[1,2,4,5,7,8,9,15,19,20,22,27,33,38,39,40,61,66,67,76,90,94,96,97,98,99,
107,121,140,151,217,220,228,229,241,266,283,288,292,296,305,311,441,568,569,
576,596,604,614,615,617,628,635,928,931,933,966,973,1070,1072,1204,1350,1355,
1556,1613],[1,2,4,5,7,9,15,19,20,22,27,33,37,39,40,60,65,67,76,90,94,97,98,
100,107,121,139,150,218,219,227,229,239,266,283,288,292,295,305,312,442,568,
570,576,597,605,613,615,616,627,636,929,930,933,965,972,1070,1071,1205,1351,
1354,1555,1614],[1,2,4,5,7,8,9,15,19,20,22,29,34,35,37,39,61,65,67,75,76,90,
94,95,97,98,99,101,105,110,148,151,216,218,227,242,257,266,270,272,288,289,
290,292,295,343,344,564,568,580,585,598,604,610,613,616,632,638,930,931,939,
986,989,1070,1071,1225,1356,1358,1555,1615],[1,2,4,5,7,8,9,15,19,20,22,29,34,
35,39,40,61,65,67,74,76,90,94,95,97,98,99,101,105,110,149,151,215,219,229,242,
259,266,270,272,288,289,290,292,296,343,344,562,568,580,585,598,604,609,615,
617,630,637,930,931,939,985,988,1070,1072,1225,1356,1357,1556,1616],[1,2,4,5,
7,8,9,15,19,20,22,29,34,35,38,39,40,61,66,67,76,90,94,95,96,97,98,99,100,101,
105,110,127,140,151,217,220,228,229,241,266,270,272,288,289,290,292,297,307,
308,311,312,313,315,334,341,343,344,353,354,441,568,569,570,580,585,596,597,
598,604,614,615,618,650,658,675,677,686,696,700,722,724,725,928,929,935,939,
943,945,950,966,1032,1070,1073,1074,1075,1207,1215,1216,1223,1350,1351,1356,
1360,1416,1445,1520,1557,1559,1562,1617],[1,2,3,4,5,6,7,8,9,13,15,18,19,20,21,
22,23,24,25,26,27,28,29,30,31,32,33,34,35,37,53,61,66,67,71,75,76,79,91,94,95,
96,98,100,101,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,
120,121,127,148,197,212,218,241,255,256,267,269,271,273,276,277,282,288,289,
290,293,295,302,304,305,306,313,317,318,319,331,332,334,341,344,345,346,347,
348,353,354,521,571,572,573,577,579,581,583,584,586,590,592,596,597,598,610,
633,636,642,652,664,666,677,681,688,702,706,722,724,725,934,937,938,941,944,
946,947,948,950,1008,1035,1071,1073,1074,1075,1206,1217,1222,1226,1352,1354,
1358,1360,1425,1446,1518,1558,1560,1561,1618],[1,4,6,7,17,27,31,36,50,92,93,
123,126,281,286,291,327,351,600,718,720,1237,1521,1619],[1,2,3,4,7,8,9,10,11,
12,13,14,15,16,17,18,22,26,30,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,
54,55,56,57,58,59,60,61,62,63,64,65,66,67,71,72,73,74,75,76,77,78,79,80,81,82,
83,84,86,98,106,120,122,123,128,129,131,132,133,134,135,136,137,138,141,142,
144,145,146,147,150,151,154,155,156,157,158,159,160,161,162,163,164,165,166,
167,168,169,170,171,173,175,176,177,178,179,180,181,182,183,184,185,186,187,
188,191,192,193,194,197,198,201,202,203,204,205,208,209,210,211,212,213,214,
215,216,227,228,229,230,231,232,233,234,235,236,248,249,250,251,252,253,254,
255,295,296,300,301,304,323,324,325,328,339,355,359,360,361,362,363,364,368,
369,370,371,372,373,374,375,376,377,378,379,382,383,384,385,386,387,388,390,
391,393,394,395,399,400,401,402,403,404,405,406,407,408,409,410,412,413,414,
417,418,419,420,423,427,428,429,430,431,432,436,437,438,439,440,443,444,451,
452,453,455,459,462,480,481,482,487,488,489,490,491,492,493,494,495,496,497,
498,499,500,501,502,510,511,512,513,532,538,539,540,541,542,543,544,545,546,
549,555,558,559,560,565,616,617,622,623,626,629,633,634,659,662,667,671,726,
729,730,731,732,733,735,736,739,740,741,742,747,748,753,757,761,762,763,764,
765,766,767,768,769,777,778,779,780,781,782,783,787,796,797,798,799,800,801,
802,803,804,808,809,813,814,819,827,834,835,844,853,859,860,868,869,872,876,
877,878,881,882,883,884,887,888,889,890,891,896,916,917,961,962,970,971,1043,
1078,1079,1080,1082,1085,1097,1104,1112,1117,1118,1125,1127,1128,1137,1138,
1139,1150,1162,1169,1170,1177,1179,1190,1200,1240,1241,1259,1264,1271,1272,
1296,1298,1361,1362,1363,1378,1383,1385,1396,1449,1468,1494,1523,1563,1620],[
1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,18,20,24,28,29,37,38,39,40,41,42,43,44,
45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,71,72,73,
74,75,76,77,78,79,80,81,82,83,84,86,96,97,99,100,104,105,118,128,129,130,131,
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,
170,171,173,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,
191,192,193,194,197,198,201,202,203,204,205,208,209,210,211,212,213,214,215,
216,217,218,219,220,227,228,229,230,231,232,233,234,235,236,239,240,241,242,
248,249,250,251,252,253,254,255,256,257,258,259,292,299,302,303,306,308,311,
312,316,318,329,341,342,343,356,357,358,360,361,362,363,364,365,366,367,368,
369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,
388,389,390,391,393,394,395,396,397,398,400,401,402,403,404,405,406,407,408,
409,410,412,413,414,417,418,419,420,423,427,428,429,430,433,434,435,436,437,
438,439,440,441,442,443,444,447,448,449,450,451,452,453,454,455,456,457,458,
476,477,481,482,487,488,489,490,491,492,493,494,495,496,497,498,499,500,501,
502,503,504,505,506,507,508,509,512,513,514,515,518,519,520,521,530,531,534,
535,538,539,540,541,542,543,544,545,546,547,548,551,552,558,559,560,561,562,
563,564,602,603,604,605,613,614,615,621,624,630,631,632,652,653,654,657,658,
682,683,727,728,729,730,731,732,733,734,735,737,739,740,741,742,744,745,746,
749,750,751,752,753,757,758,759,760,762,763,764,765,766,767,768,769,770,771,
772,773,774,775,776,778,779,780,781,782,783,784,785,786,788,789,790,791,797,
798,799,800,805,806,807,810,811,812,813,814,815,816,817,818,820,821,826,827,
830,831,834,835,836,837,838,839,840,841,861,862,863,864,868,869,870,871,874,
875,876,877,881,882,883,887,888,889,890,891,954,955,956,963,964,965,966,967,
968,969,981,982,983,984,985,986,987,998,999,1002,1003,1009,1010,1013,1028,
1077,1078,1079,1081,1083,1084,1086,1087,1088,1089,1090,1091,1092,1098,1099,
1100,1101,1105,1106,1107,1108,1109,1110,1111,1113,1114,1115,1116,1121,1122,
1123,1124,1126,1127,1128,1137,1138,1140,1141,1142,1149,1162,1163,1183,1184,
1238,1249,1250,1251,1252,1255,1256,1257,1267,1268,1269,1270,1282,1361,1364,
1365,1372,1373,1374,1375,1388,1401,1447,1448,1450,1460,1524,1564,1569,1570,
1621],[1,2,3,4,7,8,9,10,11,12,13,14,15,16,17,18,22,26,27,37,38,39,40,41,42,43,
44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,71,72,
73,74,75,76,77,78,79,80,81,82,83,84,86,101,120,121,122,123,128,129,130,131,
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,
170,171,173,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,
191,192,193,194,197,198,201,202,203,204,205,208,209,210,211,212,213,214,215,
216,217,218,219,220,227,228,229,230,231,232,233,234,235,236,239,240,241,242,
248,249,250,251,252,253,254,255,256,257,258,259,295,296,300,301,323,324,325,
326,327,328,332,356,357,358,360,361,362,363,364,365,366,367,368,369,370,371,
372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,
391,393,394,395,396,397,398,400,401,402,403,404,405,406,407,408,409,410,412,
413,414,417,418,419,420,423,427,428,429,430,433,434,435,436,437,438,439,440,
441,442,443,444,447,448,449,450,451,452,453,454,455,456,457,458,476,477,481,
482,487,488,489,490,491,492,493,494,495,496,497,498,499,500,501,502,503,504,
505,506,507,508,509,512,513,514,515,518,519,520,521,530,531,534,535,538,539,
540,541,542,543,544,545,546,547,548,551,552,558,559,560,561,562,563,564,609,
610,622,623,626,627,628,629,659,660,661,662,698,699,727,728,729,730,731,732,
733,734,735,737,739,740,741,742,744,745,746,749,750,751,752,753,757,758,759,
760,762,763,764,765,766,767,768,769,770,771,772,773,774,775,776,778,779,780,
781,782,783,784,785,786,788,789,790,791,797,798,799,800,805,806,807,810,811,
812,813,814,815,816,817,818,820,821,826,827,830,831,834,835,836,837,838,839,
840,841,861,862,863,864,868,869,870,871,874,875,876,877,881,882,883,887,888,
889,890,891,961,962,996,997,1051,1052,1077,1078,1079,1081,1083,1084,1086,1087,
1088,1089,1090,1091,1092,1098,1099,1100,1101,1105,1106,1107,1108,1109,1110,
1111,1113,1114,1115,1116,1121,1122,1123,1124,1126,1127,1128,1137,1138,1140,
1141,1142,1149,1162,1163,1183,1184,1240,1241,1245,1271,1272,1296,1297,1298,
1361,1364,1365,1372,1373,1374,1375,1388,1401,1459,1466,1469,1470,1524,1563,
1622],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,18,20,24,37,38,39,40,41,42,43,44,
45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,71,72,73,74,
75,76,77,78,79,80,81,82,83,84,86,99,100,118,128,129,131,132,133,134,135,136,
137,138,141,142,144,145,146,147,150,151,154,155,156,157,158,159,160,161,162,
163,164,165,166,167,168,169,170,171,173,175,176,177,178,179,180,181,182,183,
184,185,186,187,188,191,192,193,194,197,198,201,202,203,204,205,208,209,210,
211,212,213,214,215,216,227,228,229,230,231,232,233,234,235,236,248,249,250,
251,252,253,254,255,292,299,306,307,308,313,314,329,331,355,359,360,361,362,
363,364,368,369,370,371,372,373,374,375,376,377,378,379,382,383,384,385,386,
387,388,390,391,393,394,395,399,400,401,402,403,404,405,406,407,408,409,410,
412,413,414,417,418,419,420,423,427,428,429,430,431,432,436,437,438,439,440,
443,444,451,452,453,455,459,462,480,481,482,487,488,489,490,491,492,493,494,
495,496,497,498,499,500,501,502,510,511,512,513,532,538,539,540,541,542,543,
544,545,546,549,555,558,559,560,565,602,603,604,605,621,624,654,656,663,700,
701,702,703,726,729,730,731,732,733,735,736,739,740,741,742,747,748,753,757,
761,762,763,764,765,766,767,768,769,777,778,779,780,781,782,783,787,796,797,
798,799,800,801,802,803,804,808,809,813,814,819,827,834,835,844,853,859,860,
868,869,872,876,877,878,881,882,883,884,887,888,889,890,891,896,916,917,953,
954,955,956,979,980,995,1009,1010,1028,1038,1078,1079,1080,1082,1085,1097,
1104,1112,1117,1118,1125,1127,1128,1137,1138,1139,1150,1162,1169,1170,1177,
1179,1190,1200,1238,1246,1252,1282,1284,1288,1289,1312,1313,1361,1362,1363,
1378,1383,1385,1396,1450,1458,1467,1523,1564,1573,1574,1623],[1,2,3,4,7,8,9,
10,11,12,13,14,15,16,17,18,22,30,33,37,39,40,43,44,45,46,47,48,49,52,53,54,55,
56,57,58,59,60,61,62,63,64,66,67,70,71,72,74,75,76,79,80,81,82,83,84,86,101,
106,107,122,123,128,129,132,134,135,137,138,139,141,142,143,144,145,146,147,
148,149,153,154,157,158,159,160,163,167,168,169,170,171,172,173,174,175,176,
177,179,180,181,182,184,185,186,187,188,190,193,197,198,201,204,209,210,212,
213,216,218,220,229,231,233,234,235,240,241,245,246,247,248,249,250,251,252,
253,255,256,259,295,296,297,319,323,325,339,340,355,357,359,363,365,373,374,
377,379,380,383,386,388,391,396,398,399,400,401,402,403,404,405,406,407,408,
409,410,411,413,414,417,420,427,428,429,430,437,440,443,445,447,450,452,453,
454,458,459,462,465,466,467,468,471,473,475,476,480,482,487,488,489,490,491,
492,497,498,499,501,502,504,505,513,520,521,534,539,541,542,544,545,546,552,
555,560,608,609,610,633,634,635,636,649,670,671,698,699,726,727,738,739,741,
742,743,744,745,748,750,752,760,761,764,765,768,769,771,772,773,776,778,779,
784,786,787,789,790,793,794,796,799,800,801,802,813,817,819,822,823,831,835,
838,844,859,864,871,875,878,885,886,887,891,896,898,899,916,917,960,961,978,
992,994,1007,1008,1041,1082,1087,1092,1099,1109,1111,1114,1117,1124,1131,1132,
1135,1136,1137,1139,1140,1151,1152,1169,1170,1190,1193,1200,1201,1242,1243,
1244,1245,1262,1264,1287,1303,1304,1326,1366,1372,1376,1383,1394,1395,1398,
1453,1482,1499,1530,1566,1624],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,18,20,
24,28,29,37,39,40,41,42,45,47,49,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,
67,70,72,73,74,75,76,77,78,79,80,81,83,84,85,87,88,89,97,99,100,104,105,116,
118,132,134,135,136,139,141,142,143,144,145,146,147,148,149,150,151,153,154,
157,158,161,162,166,168,169,170,171,173,175,176,177,178,179,181,182,183,184,
187,188,190,191,192,193,195,196,199,200,206,207,213,214,215,216,218,219,220,
222,225,227,229,230,231,232,233,234,235,236,239,242,245,246,247,248,250,251,
252,253,254,255,256,257,259,262,265,292,299,303,312,313,314,315,316,317,318,
329,343,345,357,363,365,373,375,377,380,382,385,392,393,394,396,397,398,400,
401,404,405,408,410,412,413,415,416,418,419,424,427,429,430,431,432,437,439,
440,442,443,444,445,448,451,452,453,454,457,458,469,470,471,473,476,477,478,
479,481,490,494,495,497,499,502,503,504,505,509,510,511,512,513,514,522,523,
524,525,531,532,537,538,542,543,546,547,549,554,555,556,557,560,562,564,565,
566,567,602,603,604,605,613,615,621,624,630,631,632,646,663,680,681,683,695,
696,704,727,729,736,744,746,749,750,751,754,759,760,762,770,771,773,775,778,
780,783,786,789,790,791,792,794,796,797,799,813,816,817,821,825,831,837,840,
853,855,856,859,860,862,865,869,872,873,875,877,879,883,884,885,896,897,898,
900,903,909,910,912,913,918,920,923,924,925,964,965,968,969,979,980,983,985,
986,998,999,1000,1001,1003,1009,1010,1017,1025,1028,1044,1078,1084,1098,1100,
1107,1110,1111,1114,1115,1120,1122,1125,1129,1135,1139,1147,1159,1160,1161,
1171,1177,1178,1187,1194,1195,1196,1201,1238,1267,1269,1284,1290,1291,1292,
1293,1308,1323,1362,1364,1368,1370,1382,1384,1398,1448,1450,1454,1483,1532,
1567,1569,1574,1625],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,18,20,24,28,29,37,
38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,
65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,99,
100,104,105,116,118,128,129,131,132,133,134,135,136,137,138,141,142,144,145,
146,147,150,151,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,
169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,
188,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,
209,210,214,215,217,218,219,220,221,222,223,224,225,226,230,231,232,233,234,
235,236,237,238,243,244,245,246,247,248,249,250,251,252,253,254,256,257,258,
259,260,261,262,263,264,265,292,299,306,308,315,316,317,329,333,334,345,360,
361,362,363,364,368,369,370,371,372,373,374,375,376,377,378,379,382,383,384,
385,386,387,388,390,391,392,393,394,395,400,401,402,403,404,405,406,407,408,
409,410,411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,
428,429,430,443,444,445,446,449,450,454,456,457,458,459,460,461,462,463,464,
465,466,467,468,469,470,471,472,473,474,475,478,479,481,482,483,484,485,486,
487,488,489,490,491,492,493,494,495,496,497,498,499,503,504,505,506,507,508,
509,510,511,512,516,517,522,523,524,525,526,527,528,529,530,531,532,533,536,
537,538,539,540,541,542,543,544,545,546,547,548,549,550,553,554,565,566,567,
602,603,604,605,621,624,630,631,646,654,684,686,687,688,693,704,729,730,731,
732,733,735,738,739,740,741,742,753,754,755,756,757,762,763,764,765,766,767,
768,769,778,779,780,781,782,783,792,793,794,795,797,798,799,800,817,818,819,
822,823,824,825,827,828,829,832,833,836,837,838,839,842,843,845,846,847,848,
849,850,851,852,853,854,855,856,857,858,860,861,862,865,866,867,872,873,879,
880,881,882,883,885,886,887,888,889,890,891,892,893,894,895,898,899,900,901,
902,903,904,909,910,911,918,919,920,921,922,923,954,955,956,974,975,998,1000,
1001,1009,1010,1017,1025,1028,1047,1078,1079,1093,1095,1096,1102,1103,1119,
1120,1127,1128,1129,1130,1131,1132,1133,1134,1135,1136,1137,1138,1147,1148,
1166,1167,1168,1171,1172,1173,1178,1179,1180,1181,1182,1184,1185,1186,1187,
1188,1196,1197,1198,1238,1252,1273,1274,1275,1276,1282,1306,1308,1323,1327,
1361,1370,1371,1386,1387,1389,1390,1392,1393,1394,1397,1450,1454,1488,1500,
1528,1564,1567,1571,1626],[1,2,3,4,6,8,9,10,11,12,13,14,15,16,17,18,21,23,25,
31,32,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,
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,
88,89,102,103,108,109,111,114,119,128,129,131,132,133,134,135,136,137,138,141,
142,144,145,146,147,150,151,154,155,156,157,158,159,160,161,162,163,164,165,
166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,
185,186,187,188,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,
206,207,208,209,210,214,215,217,218,219,220,221,222,223,224,225,226,230,231,
232,233,234,235,236,237,238,243,244,245,246,247,248,249,250,251,252,253,254,
256,257,258,259,260,261,262,263,264,265,293,294,298,309,310,320,321,322,330,
335,336,348,360,361,362,363,364,368,369,370,371,372,373,374,375,376,377,378,
379,382,383,384,385,386,387,388,390,391,392,393,394,395,400,401,402,403,404,
405,406,407,408,409,410,411,412,413,414,415,416,417,418,419,420,421,422,423,
424,425,426,427,428,429,430,443,444,445,446,449,450,454,456,457,458,459,460,
461,462,463,464,465,466,467,468,469,470,471,472,473,474,475,478,479,481,482,
483,484,485,486,487,488,489,490,491,492,493,494,495,496,497,498,499,503,504,
505,506,507,508,509,510,511,512,516,517,522,523,524,525,526,527,528,529,530,
531,532,533,536,537,538,539,540,541,542,543,544,545,546,547,548,549,550,553,
554,565,566,567,606,607,611,612,619,620,625,640,641,642,647,655,689,690,691,
692,694,705,729,730,731,732,733,735,738,739,740,741,742,753,754,755,756,757,
762,763,764,765,766,767,768,769,778,779,780,781,782,783,792,793,794,795,797,
798,799,800,817,818,819,822,823,824,825,827,828,829,832,833,836,837,838,839,
842,843,845,846,847,848,849,850,851,852,853,854,855,856,857,858,860,861,862,
865,866,867,872,873,879,880,881,882,883,885,886,887,888,889,890,891,892,893,
894,895,898,899,900,901,902,903,904,909,910,911,918,919,920,921,922,923,957,
958,959,976,977,1004,1005,1006,1011,1012,1018,1023,1024,1029,1030,1048,1078,
1079,1093,1095,1096,1102,1103,1119,1120,1127,1128,1129,1130,1131,1132,1133,
1134,1135,1136,1137,1138,1147,1148,1166,1167,1168,1171,1172,1173,1178,1179,
1180,1181,1182,1184,1185,1186,1187,1188,1196,1197,1198,1239,1253,1254,1278,
1279,1280,1281,1283,1307,1309,1324,1325,1328,1329,1361,1370,1371,1386,1387,
1389,1390,1392,1393,1394,1397,1451,1455,1489,1501,1502,1528,1565,1568,1572,
1627],[1,2,3,4,7,8,9,10,11,12,13,14,15,16,17,18,22,26,33,34,35,37,38,39,40,41,
42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,
69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,107,110,112,
117,120,122,123,128,129,131,132,133,134,135,136,137,138,141,142,144,145,146,
147,150,151,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,
170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,
191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,
210,214,215,217,218,219,220,221,222,223,224,225,226,230,231,232,233,234,235,
236,237,238,243,244,245,246,247,248,249,250,251,252,253,254,256,257,258,259,
260,261,262,263,264,265,295,296,300,301,323,324,325,328,337,338,340,346,360,
361,362,363,364,368,369,370,371,372,373,374,375,376,377,378,379,382,383,384,
385,386,387,388,390,391,392,393,394,395,400,401,402,403,404,405,406,407,408,
409,410,411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,
428,429,430,443,444,445,446,449,450,454,456,457,458,459,460,461,462,463,464,
465,466,467,468,469,470,471,472,473,474,475,478,479,481,482,483,484,485,486,
487,488,489,490,491,492,493,494,495,496,497,498,499,503,504,505,506,507,508,
509,510,511,512,516,517,522,523,524,525,526,527,528,529,530,531,532,533,536,
537,538,539,540,541,542,543,544,545,546,547,548,549,550,553,554,565,566,567,
622,623,626,629,635,636,637,638,643,644,645,648,659,662,668,669,670,673,729,
730,731,732,733,735,738,739,740,741,742,753,754,755,756,757,762,763,764,765,
766,767,768,769,778,779,780,781,782,783,792,793,794,795,797,798,799,800,817,
818,819,822,823,824,825,827,828,829,832,833,836,837,838,839,842,843,845,846,
847,848,849,850,851,852,853,854,855,856,857,858,860,861,862,865,866,867,872,
873,879,880,881,882,883,885,886,887,888,889,890,891,892,893,894,895,898,899,
900,901,902,903,904,909,910,911,918,919,920,921,922,923,961,962,1021,1022,
1026,1027,1045,1078,1079,1093,1095,1096,1102,1103,1119,1120,1127,1128,1129,
1130,1131,1132,1133,1134,1135,1136,1137,1138,1147,1148,1166,1167,1168,1171,
1172,1173,1178,1179,1180,1181,1182,1184,1185,1186,1187,1188,1196,1197,1198,
1240,1241,1261,1262,1265,1266,1271,1272,1296,1298,1361,1370,1371,1386,1387,
1389,1390,1392,1393,1394,1397,1456,1457,1465,1478,1479,1528,1563,1628],[1,2,3,
4,7,8,9,10,11,12,13,14,15,16,17,22,34,35,37,39,40,41,42,45,47,49,55,56,57,58,
59,60,61,62,63,64,65,67,68,69,72,74,75,76,77,78,79,80,81,98,101,110,122,123,
134,135,136,139,141,142,143,144,145,146,147,148,149,150,151,153,154,157,158,
161,162,166,168,169,171,172,173,174,175,176,177,179,181,183,184,188,190,193,
213,215,216,218,219,227,229,232,233,234,235,237,238,239,242,243,244,250,251,
252,255,257,259,295,296,297,323,325,337,338,344,355,357,359,363,365,373,375,
377,380,382,393,394,397,398,399,400,401,404,405,408,410,411,412,413,418,429,
430,437,439,440,442,443,446,448,451,453,454,457,458,459,460,461,462,463,464,
472,474,475,476,480,481,494,495,497,499,502,503,505,513,514,538,542,546,560,
562,564,608,609,610,616,617,618,637,638,639,649,667,668,698,699,726,727,729,
738,743,744,746,747,748,750,751,759,760,761,770,771,773,775,777,778,780,783,
786,787,789,791,793,795,797,799,813,816,817,819,821,824,831,837,844,854,875,
877,878,883,892,894,902,922,960,961,978,988,989,990,991,993,1037,1078,1084,
1085,1095,1097,1098,1100,1103,1107,1110,1111,1112,1114,1115,1117,1131,1143,
1144,1145,1173,1193,1244,1245,1258,1259,1260,1261,1263,1287,1305,1326,1363,
1364,1366,1369,1380,1381,1389,1474,1475,1495,1529,1566,1629],[1,2,3,4,7,8,9,
10,11,12,13,14,15,16,17,18,22,26,27,37,38,39,40,45,46,47,48,49,50,51,52,53,54,
55,56,57,58,59,60,61,62,63,64,65,66,67,71,72,73,74,75,76,77,78,79,80,81,82,83,
84,85,86,87,88,89,101,120,121,122,123,128,129,130,131,132,133,134,135,139,140,
141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,168,
169,170,171,172,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,
189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,
208,209,210,211,212,213,214,215,216,217,218,219,220,227,228,229,230,231,232,
233,234,235,236,239,240,241,242,248,249,250,251,252,253,254,255,256,257,258,
259,295,296,297,323,324,325,326,327,328,332,355,356,357,358,359,360,361,362,
363,364,365,366,367,373,375,376,377,380,381,383,384,385,386,387,388,389,390,
391,392,395,396,397,398,399,400,401,404,405,408,410,411,412,413,414,415,416,
417,418,419,420,421,422,423,424,425,426,427,428,431,432,433,434,435,436,437,
438,439,440,441,442,443,444,447,448,449,450,451,452,453,454,455,456,457,458,
459,462,469,470,475,476,477,478,479,480,481,482,487,488,489,490,491,492,493,
495,496,498,499,500,501,502,503,504,505,506,507,508,509,510,511,512,513,514,
515,518,519,520,521,530,531,532,534,535,538,539,541,542,543,546,547,548,549,
551,552,555,556,557,558,559,560,561,562,563,564,565,608,609,610,622,623,627,
628,649,659,660,661,662,698,699,726,727,728,731,734,735,736,737,738,743,748,
749,750,751,752,753,754,755,756,757,758,759,760,761,762,763,764,765,778,780,
782,784,785,786,787,788,789,790,791,792,793,796,801,802,803,804,805,806,807,
808,809,810,811,812,813,814,815,816,817,818,819,820,821,825,826,827,830,831,
832,833,834,835,836,837,838,839,840,841,842,843,844,853,855,856,860,861,862,
863,864,868,869,870,871,872,874,875,876,877,878,879,881,884,889,890,891,897,
900,905,906,907,908,911,912,913,914,915,919,924,925,926,927,960,961,978,996,
997,1015,1016,1051,1052,1077,1080,1081,1082,1093,1094,1102,1104,1113,1114,
1115,1116,1117,1118,1119,1121,1122,1123,1124,1125,1126,1127,1129,1131,1133,
1146,1149,1150,1155,1156,1157,1158,1159,1162,1163,1174,1175,1176,1177,1178,
1179,1182,1183,1184,1189,1193,1194,1195,1199,1244,1245,1285,1286,1287,1294,
1295,1296,1297,1326,1366,1384,1386,1396,1399,1400,1401,1408,1411,1466,1492,
1496,1503,1522,1566,1630],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,20,24,29,37,
39,40,41,42,45,47,49,55,56,57,58,59,60,61,62,63,64,65,67,68,69,72,74,75,76,77,
78,79,80,81,97,99,100,105,118,134,135,136,139,141,142,143,144,145,146,147,148,
149,150,151,153,154,157,158,161,162,166,168,169,171,172,173,174,175,176,177,
179,181,183,184,188,190,193,213,215,216,218,219,227,229,232,233,234,235,237,
238,239,242,243,244,250,251,252,255,257,259,292,299,303,307,312,318,329,331,
333,334,343,355,357,359,363,365,373,375,377,380,382,393,394,397,398,399,400,
401,404,405,408,410,411,412,413,418,429,430,437,439,440,442,443,446,448,451,
453,454,457,458,459,460,461,462,463,464,472,474,475,476,480,481,494,495,497,
499,502,503,505,513,514,538,542,546,560,562,564,602,603,604,605,613,615,621,
624,630,632,656,675,683,685,693,697,706,726,727,729,738,743,744,746,747,748,
750,751,759,760,761,770,771,773,775,777,778,780,783,786,787,789,791,793,795,
797,799,813,816,817,819,821,824,831,837,844,854,875,877,878,883,892,894,902,
922,953,964,965,968,969,974,975,983,985,986,995,999,1003,1009,1010,1028,1036,
1078,1084,1085,1095,1097,1098,1100,1103,1107,1110,1111,1112,1114,1115,1117,
1131,1143,1144,1145,1173,1193,1238,1246,1267,1269,1277,1306,1310,1311,1318,
1327,1363,1364,1366,1369,1380,1381,1389,1448,1450,1458,1473,1529,1569,1571,
1573,1631],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,18,20,24,28,29,37,38,39,40,
41,42,45,47,49,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,70,71,72,73,74,
75,76,77,78,79,80,81,85,87,88,89,96,97,99,100,104,105,116,118,132,133,134,135,
136,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,
157,158,161,162,166,168,169,171,173,175,176,177,178,179,180,181,183,184,188,
189,190,191,192,193,194,195,196,197,198,199,200,206,207,211,212,213,214,215,
216,217,218,219,220,222,225,227,228,229,230,231,232,233,234,235,236,239,240,
241,242,245,246,247,250,251,252,253,254,255,256,257,258,259,262,265,292,299,
302,303,307,311,315,316,317,329,331,341,342,345,355,356,357,358,359,360,361,
362,364,366,367,373,375,376,377,380,381,382,385,386,392,393,394,396,397,398,
399,400,401,404,405,408,410,412,413,415,416,418,424,429,430,431,432,433,434,
435,436,437,438,439,440,441,442,443,444,445,447,448,449,450,452,455,456,457,
458,459,462,469,470,471,473,477,478,479,480,482,494,495,497,499,500,501,502,
503,504,505,506,507,508,509,510,511,512,513,514,515,518,519,520,521,522,523,
524,525,530,531,532,534,535,537,538,542,546,547,548,549,551,552,554,556,557,
558,559,560,561,562,563,564,566,567,602,603,604,605,613,614,615,621,624,630,
631,632,646,650,651,656,664,665,682,704,726,728,729,731,736,737,744,745,746,
747,748,749,752,754,758,759,760,761,772,774,776,777,778,780,783,784,785,787,
788,790,792,794,797,799,803,804,805,806,807,808,809,810,811,812,813,814,815,
816,818,819,820,825,830,832,833,836,842,843,844,855,856,860,861,862,863,864,
865,873,874,876,878,879,883,885,897,898,900,903,905,906,907,908,909,910,912,
913,914,915,918,920,923,924,925,926,927,953,963,966,967,968,969,981,982,984,
987,995,998,1000,1001,1002,1009,1010,1014,1017,1025,1028,1078,1080,1081,1083,
1084,1085,1097,1099,1101,1105,1106,1108,1109,1112,1113,1116,1117,1120,1129,
1135,1147,1151,1152,1153,1154,1155,1156,1157,1158,1159,1164,1165,1171,1174,
1175,1176,1182,1187,1196,1199,1238,1246,1247,1248,1268,1270,1308,1314,1315,
1323,1363,1365,1370,1376,1377,1379,1399,1406,1407,1409,1410,1447,1448,1450,
1452,1454,1458,1525,1567,1570,1573,1575,1576,1632],[1,2,3,4,5,8,9,10,11,12,13,
14,15,16,17,20,24,28,29,37,38,39,40,41,42,45,47,49,55,56,57,58,59,60,61,62,63,
64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,96,97,99,100,104,105,118,
133,134,135,136,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,
154,155,156,157,158,161,162,166,168,169,170,171,172,173,174,175,176,177,178,
179,180,181,183,184,188,189,190,193,194,211,212,214,215,216,217,220,227,228,
229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,248,249,250,
251,252,253,254,256,258,292,299,302,303,311,313,314,316,329,333,334,341,342,
356,357,358,364,366,367,373,375,376,377,380,381,382,393,394,395,396,397,398,
400,401,404,405,408,410,411,412,413,418,427,428,429,430,431,432,433,434,435,
436,438,439,440,441,443,444,446,447,448,449,450,451,452,453,454,455,456,457,
458,459,460,461,462,463,464,469,470,472,474,475,477,482,494,495,496,497,498,
499,500,501,504,506,512,515,538,542,546,555,556,557,558,559,561,563,602,603,
604,605,613,614,615,621,624,630,631,632,663,676,677,678,679,682,693,728,729,
736,737,738,744,745,746,749,752,758,759,760,772,774,776,778,780,782,783,784,
785,788,790,792,793,795,796,797,799,814,815,817,818,819,820,821,824,830,836,
853,854,859,868,869,870,871,874,876,883,884,892,894,896,897,902,905,906,907,
908,922,963,966,967,968,969,974,975,979,980,981,982,984,987,998,1002,1009,
1010,1028,1031,1078,1083,1084,1095,1099,1101,1102,1103,1105,1106,1108,1109,
1113,1116,1125,1131,1139,1149,1150,1173,1174,1189,1191,1192,1194,1238,1268,
1270,1284,1299,1300,1301,1302,1306,1327,1362,1365,1367,1389,1391,1395,1400,
1447,1448,1450,1476,1526,1570,1571,1574,1633],[1,2,3,5,9,10,11,13,19,20,24,39,
40,41,42,56,57,67,79,94,97,100,118,134,135,136,147,171,176,213,229,234,288,
292,299,312,331,333,355,394,399,408,437,462,603,615,621,624,697,729,747,761,
964,975,995,1070,1085,1227,1238,1318,1429,1458,1634],[1,2,5,6,7,9,19,20,21,22,
37,39,65,90,91,92,94,97,98,100,127,227,266,267,268,288,292,293,295,297,306,
307,314,350,353,568,570,572,613,616,701,711,724,930,934,935,1058,1070,1071,
1213,1214,1339,1445,1446,1555,1635],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,
17,18,20,21,22,23,24,25,26,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,
55,56,57,58,59,60,61,62,63,64,71,72,73,74,75,76,77,78,79,80,81,82,83,84,86,91,
99,100,102,103,118,119,120,122,123,128,129,131,132,133,134,135,136,137,138,
141,142,144,145,146,147,150,151,154,155,156,157,158,159,160,161,162,163,164,
165,166,167,168,169,170,171,173,175,176,177,178,179,180,181,182,183,184,185,
186,187,188,191,192,193,194,197,198,201,202,203,204,205,208,209,210,248,249,
250,251,252,267,269,292,293,294,295,296,298,299,300,301,306,308,309,310,323,
324,325,328,329,330,360,361,362,363,364,368,369,370,371,372,373,374,375,376,
377,378,379,382,383,384,385,386,387,388,390,391,393,394,395,400,401,402,403,
404,405,406,407,408,409,410,412,413,414,417,418,419,420,423,427,428,429,430,
487,488,489,490,491,492,493,494,495,496,497,498,499,538,539,540,541,542,543,
544,545,546,586,602,603,604,605,606,607,611,612,619,620,621,622,623,624,625,
626,629,654,655,659,662,729,730,731,732,733,735,739,740,741,742,753,757,762,
763,764,765,766,767,768,769,778,779,780,781,782,783,797,798,799,800,881,882,
883,887,888,889,890,891,934,936,954,955,956,957,958,959,961,962,1009,1010,
1011,1012,1028,1029,1030,1078,1079,1127,1128,1137,1138,1211,1212,1238,1239,
1240,1241,1252,1253,1254,1271,1272,1282,1283,1296,1298,1361,1450,1451,1542,
1543,1563,1564,1565,1636],[1,2,3,4,5,7,8,9,12,13,14,15,18,20,22,26,29,30,38,
39,40,43,45,46,53,56,58,61,65,66,67,68,69,71,74,76,79,82,85,89,90,96,97,98,99,
100,105,106,120,122,128,134,137,140,147,149,151,155,168,184,185,191,196,197,
211,213,215,217,219,220,224,226,228,229,232,234,236,241,242,244,248,252,253,
254,259,260,263,266,278,292,297,304,307,308,311,312,313,315,323,324,334,339,
341,343,356,359,360,397,405,406,416,431,433,437,441,449,459,470,474,478,480,
487,500,508,510,520,531,535,536,549,550,555,557,558,562,568,569,574,603,604,
614,615,618,630,650,658,659,667,671,675,677,686,696,700,739,770,785,801,803,
810,833,856,857,859,878,892,893,907,915,916,925,928,930,932,935,953,954,960,
964,966,974,980,981,985,1001,1032,1043,1086,1144,1156,1160,1168,1170,1192,
1202,1207,1215,1216,1242,1248,1255,1258,1273,1285,1288,1293,1299,1310,1405,
1412,1416,1480,1491,1537,1540,1545,1588,1591,1594,1637],[1,2,3,4,5,7,9,12,13,
14,15,18,20,22,26,28,30,37,39,40,43,45,46,53,56,58,60,65,66,67,68,69,72,74,75,
76,79,82,85,89,90,97,98,100,104,106,120,122,128,134,137,139,147,150,153,154,
157,168,184,185,191,196,198,212,213,214,218,219,220,224,226,227,229,231,233,
234,236,239,240,244,248,252,253,254,255,258,260,263,266,278,292,297,304,306,
307,312,314,317,323,324,334,339,342,357,359,361,396,398,405,406,416,432,434,
437,442,450,454,459,470,474,479,480,487,501,502,507,511,519,531,534,536,549,
550,555,556,559,561,568,570,574,603,605,613,615,618,631,651,657,659,667,671,
675,678,688,695,701,739,771,772,784,786,801,804,811,832,856,857,859,878,892,
893,908,914,916,924,929,931,932,935,953,955,960,964,965,974,979,982,987,1000,
1033,1043,1087,1143,1155,1161,1168,1170,1191,1203,1208,1214,1216,1242,1247,
1256,1258,1274,1285,1289,1292,1300,1310,1404,1412,1415,1480,1490,1537,1540,
1544,1589,1591,1593,1638],[1,2,3,4,5,7,8,9,12,13,14,15,16,18,20,22,27,29,33,
38,39,40,44,45,47,48,53,56,58,61,65,66,67,68,69,71,74,76,79,83,85,86,89,90,96,
97,98,99,100,105,107,121,122,129,134,138,140,147,149,151,155,168,169,179,182,
184,186,191,196,197,211,213,215,217,219,220,221,223,228,229,232,233,234,236,
241,242,244,248,249,250,251,252,253,254,258,259,261,264,266,283,292,297,305,
307,308,311,312,313,315,323,326,334,340,341,343,356,359,360,397,398,401,402,
405,407,416,431,433,437,441,449,455,459,470,474,478,480,488,491,500,506,508,
510,520,531,533,535,549,553,555,557,558,562,568,569,576,603,604,614,615,618,
630,650,658,660,667,670,675,677,686,696,700,741,771,775,785,788,802,803,810,
833,856,858,859,878,892,895,907,915,917,925,928,931,933,935,953,954,960,964,
966,974,980,981,985,1001,1032,1042,1091,1143,1156,1161,1166,1169,1192,1204,
1207,1215,1216,1243,1248,1255,1258,1273,1286,1288,1293,1299,1310,1402,1412,
1416,1481,1491,1537,1541,1545,1588,1592,1593,1639],[1,2,3,4,5,7,9,12,13,14,15,
16,18,20,22,27,28,33,37,39,40,44,45,47,48,53,56,58,60,65,66,67,68,69,72,74,75,
76,79,83,85,86,89,90,97,98,100,104,107,121,122,129,134,138,139,147,150,153,
154,157,168,169,179,182,184,186,191,196,198,212,213,214,218,219,220,221,223,
227,229,231,232,234,236,239,240,244,248,249,250,251,252,253,254,257,258,261,
264,266,283,292,297,305,306,307,312,314,317,323,326,334,340,342,357,359,361,
396,397,401,402,405,407,416,432,434,437,442,450,451,459,470,474,479,480,488,
491,501,503,507,511,519,531,533,534,549,553,555,556,559,561,568,570,576,603,
605,613,615,618,631,651,657,660,667,670,675,678,688,695,701,741,770,774,784,
791,802,804,811,832,856,858,859,878,892,895,908,914,917,924,929,930,933,935,
953,955,960,964,965,974,979,982,987,1000,1033,1042,1090,1144,1155,1160,1166,
1169,1191,1205,1208,1214,1216,1243,1247,1256,1258,1274,1286,1289,1292,1300,
1310,1403,1412,1415,1481,1490,1537,1541,1544,1589,1592,1594,1640],[1,2,3,4,5,
7,8,9,10,11,12,13,14,15,16,17,18,20,22,24,28,29,34,35,37,38,39,40,45,47,49,52,
53,54,55,56,57,58,59,60,61,62,65,66,67,71,72,73,74,75,76,79,80,81,85,87,88,89,
90,96,97,98,99,100,101,104,105,110,116,118,122,132,133,134,135,139,140,141,
142,143,145,146,147,148,149,150,151,152,153,154,155,156,157,158,168,171,175,
176,177,178,179,180,181,184,188,189,190,191,192,193,194,195,196,197,198,199,
200,206,207,211,212,213,214,215,216,217,218,219,220,227,228,229,230,231,232,
233,234,235,236,239,240,241,242,251,252,253,254,255,256,257,258,259,266,270,
272,292,297,302,303,306,307,308,311,312,313,314,315,316,317,318,323,329,331,
333,334,337,338,341,342,343,344,345,355,356,357,358,359,360,361,362,364,366,
367,373,375,376,377,380,381,385,386,392,396,397,399,400,405,408,410,413,415,
416,424,431,432,433,434,435,436,437,438,439,440,441,442,443,444,447,448,449,
450,456,457,459,462,469,470,477,478,479,480,499,500,501,502,503,504,505,506,
507,508,509,510,511,512,513,514,515,518,519,520,521,530,531,532,534,535,546,
547,548,549,551,552,556,557,558,559,560,561,562,563,564,568,569,570,580,585,
602,603,604,605,608,613,614,615,618,621,630,631,632,639,650,651,652,653,654,
656,657,658,663,664,665,667,668,675,676,677,678,679,680,681,682,683,684,685,
686,687,688,693,695,696,697,698,700,701,702,703,704,706,726,728,731,736,737,
748,749,754,758,759,761,778,784,785,787,792,803,804,805,806,807,808,809,810,
811,812,813,814,815,816,818,819,825,830,832,833,842,843,844,855,856,860,861,
862,863,864,874,878,879,897,900,905,906,907,908,912,913,914,915,924,925,926,
927,928,929,935,939,943,945,953,954,955,956,960,963,964,965,966,967,968,969,
974,975,979,980,981,982,983,984,985,986,987,990,995,998,999,1000,1001,1002,
1003,1009,1010,1013,1014,1017,1031,1032,1033,1034,1035,1036,1037,1038,1039,
1040,1044,1047,1049,1050,1080,1081,1113,1117,1129,1155,1156,1157,1158,1159,
1174,1175,1176,1182,1199,1207,1208,1209,1214,1215,1216,1219,1223,1244,1246,
1247,1248,1249,1250,1251,1255,1256,1257,1258,1263,1267,1268,1269,1270,1273,
1274,1275,1276,1277,1282,1284,1288,1289,1290,1291,1292,1293,1299,1300,1301,
1302,1306,1308,1310,1311,1312,1313,1314,1315,1318,1331,1399,1412,1413,1414,
1415,1416,1422,1423,1427,1452,1460,1461,1462,1463,1464,1467,1471,1472,1473,
1475,1476,1483,1488,1490,1491,1537,1538,1539,1544,1545,1547,1582,1588,1589,
1590,1596,1599,1641],[1,2,3,4,5,7,8,9,10,11,12,13,14,15,16,18,20,22,24,26,27,
29,30,33,34,35,39,40,43,44,45,46,47,48,52,53,54,55,56,57,58,59,60,61,62,63,64,
67,71,72,75,76,79,80,81,82,83,84,86,90,97,98,99,100,101,105,106,107,110,112,
113,115,117,118,120,121,122,128,129,132,134,135,137,138,141,142,144,145,146,
147,157,158,159,160,163,167,168,169,170,171,173,175,176,177,179,180,181,182,
184,185,186,187,188,197,198,201,204,209,210,213,216,229,233,234,235,248,249,
250,251,252,255,266,270,272,278,283,292,297,303,304,305,307,312,318,319,323,
324,326,329,331,332,333,334,337,338,339,340,343,344,346,347,355,359,373,374,
377,379,383,386,388,391,399,400,401,402,403,404,405,406,407,408,409,410,413,
414,417,420,427,428,429,430,437,440,443,459,462,480,487,488,489,490,491,492,
497,498,499,502,513,539,541,542,544,545,546,555,560,568,574,576,580,585,591,
593,602,603,608,615,618,621,632,639,656,659,660,666,667,668,669,670,671,672,
673,674,675,683,685,693,697,698,706,726,739,741,742,748,761,764,765,768,769,
778,779,787,796,799,800,801,802,813,819,844,859,878,887,891,896,916,917,932,
933,935,939,940,949,953,960,964,969,974,975,983,990,995,999,1009,1036,1037,
1041,1042,1043,1045,1046,1051,1082,1117,1137,1139,1169,1170,1190,1200,1209,
1216,1219,1224,1242,1243,1244,1246,1258,1263,1267,1277,1285,1286,1306,1310,
1311,1318,1330,1383,1412,1427,1453,1473,1475,1480,1481,1486,1487,1496,1537,
1538,1539,1540,1541,1581,1590,1591,1592,1595,1602,1642],[1,2,3,4,5,7,8,9,10,
11,12,13,14,15,16,20,22,24,29,34,35,39,40,45,47,55,56,57,58,59,60,61,62,65,67,
68,69,72,75,79,80,81,90,97,98,99,100,101,105,110,118,122,134,135,141,142,145,
146,147,157,158,168,171,175,176,177,181,184,188,213,216,229,232,233,234,235,
237,238,239,242,243,244,251,252,255,266,270,272,292,297,303,307,312,318,323,
329,331,333,334,337,338,343,344,355,359,373,377,397,398,399,400,405,408,410,
413,437,440,443,446,448,459,462,472,474,480,481,499,502,513,546,560,568,580,
585,602,603,608,615,618,621,632,639,656,667,668,675,683,685,693,697,698,706,
726,746,748,751,761,770,771,778,787,795,813,819,844,878,892,894,930,931,935,
939,953,960,964,969,974,975,983,990,995,999,1009,1036,1037,1095,1098,1117,
1143,1144,1209,1216,1219,1225,1244,1246,1258,1263,1267,1277,1306,1310,1311,
1318,1381,1412,1427,1473,1475,1537,1538,1539,1590,1593,1594,1643],[1,2,3,4,5,
6,7,8,9,10,11,13,15,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,38,39,
40,41,42,53,56,57,61,65,66,67,70,71,74,76,79,87,88,91,96,98,100,101,102,103,
104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,134,
135,136,140,147,149,151,155,171,176,191,197,207,211,213,214,215,217,219,220,
222,225,228,229,231,234,236,241,242,246,253,259,267,269,271,273,276,277,282,
292,294,296,299,300,302,304,305,309,310,317,319,320,321,322,330,331,332,335,
336,341,344,345,346,347,348,355,356,360,394,396,399,408,415,432,433,437,438,
441,456,462,469,473,479,508,511,520,531,532,535,537,556,558,562,566,571,572,
573,577,579,581,583,584,586,590,592,603,609,614,617,619,621,623,624,626,628,
630,631,634,635,637,644,645,646,647,655,664,666,689,690,691,692,694,705,729,
745,747,758,761,808,810,843,898,900,906,910,923,924,927,936,937,938,941,944,
946,947,948,967,971,973,981,988,995,997,1000,1007,1017,1019,1021,1024,1025,
1027,1029,1048,1083,1085,1147,1152,1153,1165,1176,1212,1220,1221,1226,1238,
1240,1254,1314,1316,1324,1328,1409,1419,1447,1449,1454,1456,1458,1459,1501,
1542,1576,1577,1597,1598,1600,1644],[1,2,3,4,5,6,7,10,11,13,15,18,20,21,22,23,
24,25,26,27,28,29,30,31,32,33,34,35,41,42,53,57,70,87,88,90,91,92,93,102,103,
104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,136,
207,222,225,246,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,
281,282,283,284,285,286,287,294,299,300,309,310,320,321,322,330,335,336,345,
346,347,348,349,350,351,537,573,574,575,576,577,578,579,580,581,582,583,584,
586,587,588,589,590,591,592,593,594,595,619,624,626,644,645,646,647,655,689,
690,691,692,694,705,707,708,709,710,711,712,713,714,715,716,717,718,719,936,
940,941,942,948,951,1024,1025,1027,1048,1053,1054,1056,1057,1059,1060,1061,
1062,1063,1064,1065,1066,1067,1212,1220,1221,1228,1229,1230,1231,1232,1233,
1234,1333,1334,1335,1336,1337,1338,1340,1341,1347,1349,1419,1432,1433,1434,
1435,1436,1437,1438,1505,1509,1511,1512,1513,1514,1517,1551,1553,1583,1604,
1605,1606,1645],[1,2,3,4,5,6,7,8,9,13,15,18,20,21,22,23,24,25,26,27,28,29,30,
31,32,33,34,35,38,40,53,61,65,67,71,76,79,90,91,92,93,96,97,98,99,100,101,104,
105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,140,197,
211,213,217,219,242,266,267,268,269,270,271,272,273,274,275,276,277,278,279,
280,281,282,283,284,285,286,287,296,302,304,305,308,311,312,314,317,319,331,
332,333,341,343,344,345,346,347,348,349,350,351,535,568,569,570,571,572,573,
574,575,576,577,578,579,580,581,582,583,584,585,586,587,588,589,590,591,592,
593,594,595,628,634,637,658,664,666,676,684,695,697,703,707,708,709,710,711,
712,713,714,715,716,717,718,719,928,929,930,931,932,933,937,938,939,940,941,
942,943,944,945,946,947,948,949,951,1019,1039,1053,1054,1055,1058,1059,1060,
1061,1062,1063,1064,1065,1066,1067,1202,1203,1204,1205,1223,1224,1225,1226,
1228,1229,1230,1231,1232,1233,1234,1332,1339,1342,1343,1344,1345,1346,1347,
1348,1349,1428,1432,1433,1434,1435,1436,1437,1438,1504,1506,1507,1508,1510,
1515,1516,1552,1553,1584,1607,1608,1609,1646],[1,2,3,4,7,8,9,13,14,15,16,17,
22,26,27,36,37,38,40,45,46,47,48,49,50,51,55,56,60,61,71,72,73,74,75,101,120,
121,122,123,124,128,129,130,131,133,134,139,140,141,142,143,148,149,152,153,
154,155,156,157,158,177,178,180,181,189,190,193,194,291,295,296,323,324,325,
326,327,328,332,356,357,358,363,364,365,366,367,376,377,380,381,383,384,389,
601,609,610,622,623,627,628,659,660,661,662,698,699,720,721,727,728,734,735,
961,996,997,1051,1052,1068,1069,1077,1236,1237,1245,1296,1297,1442,1443,1466,
1585,1647],[1,2,3,4,7,10,11,12,13,14,15,16,17,18,22,26,33,34,35,36,41,42,43,
45,46,47,49,51,52,53,54,57,58,59,62,63,64,68,69,70,77,78,80,81,83,85,86,87,88,
89,107,110,112,117,120,122,123,124,128,131,132,136,137,144,145,161,162,163,
166,167,172,174,182,183,186,188,195,196,199,200,201,203,204,206,207,208,222,
224,225,226,237,238,243,244,245,246,247,261,262,264,265,291,300,301,323,324,
325,328,337,338,340,346,369,372,379,382,388,390,392,411,421,426,445,446,460,
461,463,464,465,468,483,485,522,523,524,525,526,527,528,536,537,553,554,601,
626,629,643,644,645,648,649,659,662,668,669,670,673,721,733,755,822,824,829,
849,850,851,852,865,866,962,978,991,992,993,1016,1026,1027,1045,1069,1185,
1236,1265,1266,1294,1298,1304,1305,1321,1322,1443,1479,1497,1610,1648],[1,2,3,
7,9,12,13,14,22,26,30,36,39,40,43,45,46,56,58,67,79,82,98,106,120,122,124,128,
134,137,147,168,184,185,213,229,234,248,252,291,296,297,301,304,323,324,339,
359,405,406,437,459,480,487,555,601,617,618,623,629,634,659,667,671,721,739,
801,859,878,916,960,971,1043,1069,1170,1235,1236,1242,1258,1271,1285,1439,
1443,1444,1468,1480,1649],[1,2,3,4,5,7,8,9,13,15,18,19,20,22,26,27,29,30,33,
34,35,38,39,40,53,56,61,65,66,67,71,74,76,79,90,94,95,96,97,98,99,100,101,105,
106,107,110,112,113,115,117,120,121,134,140,147,149,151,155,191,197,211,213,
215,217,219,220,228,229,234,236,241,242,253,259,266,270,272,278,283,288,289,
290,292,296,304,305,308,311,312,319,332,341,343,344,346,347,356,360,433,437,
441,508,520,531,535,558,562,568,569,570,574,576,580,585,591,593,596,597,598,
603,604,609,614,615,617,623,628,630,634,635,637,658,666,810,928,929,930,931,
932,933,939,940,943,945,949,950,954,964,966,971,973,981,985,988,997,1007,1019,
1021,1070,1072,1202,1203,1204,1205,1223,1224,1225,1255,1316,1350,1351,1353,
1355,1356,1357,1428,1519,1520,1556,1612,1613,1616,1650],[1,2,3,4,5,7,8,9,13,
15,18,19,20,22,26,27,29,30,33,34,35,37,38,39,40,53,55,60,61,65,66,67,71,72,73,
75,76,79,90,94,95,96,97,98,99,100,101,105,106,107,110,112,113,115,117,120,121,
133,139,140,146,148,150,151,152,156,158,192,197,198,211,212,213,216,217,218,
219,220,227,228,229,230,235,239,240,241,242,255,256,257,266,270,272,278,283,
288,289,290,292,295,304,305,308,311,312,319,332,341,343,344,346,347,358,362,
435,436,441,442,509,518,521,530,534,535,560,563,564,568,569,570,574,576,580,
585,591,593,596,597,598,602,604,605,610,613,614,615,616,622,627,632,633,636,
638,658,666,812,928,929,930,931,932,933,939,940,943,945,949,950,956,963,965,
966,970,972,983,984,986,989,996,1008,1020,1022,1070,1071,1202,1203,1204,1205,
1223,1224,1225,1257,1317,1350,1351,1352,1354,1356,1358,1428,1518,1520,1555,
1611,1614,1615,1651],[1,2,4,6,7,15,17,21,22,27,31,32,36,49,50,92,93,108,121,
123,124,125,126,130,268,281,284,285,286,287,291,325,327,351,352,578,587,599,
600,601,661,713,718,719,720,952,1067,1068,1237,1442,1521,1586,1619,1652],[1,2,
3,4,7,8,9,10,11,12,13,14,15,16,17,18,22,26,27,30,33,34,35,37,38,39,40,41,42,
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,
69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,98,101,106,107,
110,112,113,115,117,120,121,122,123,128,129,130,131,132,133,134,135,136,137,
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,
252,253,254,255,256,257,258,259,260,261,262,263,264,265,295,296,300,301,304,
305,319,323,324,325,326,327,328,332,337,338,339,340,344,346,347,355,356,357,
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,
567,609,610,616,617,622,623,626,627,628,629,633,634,635,636,637,638,643,644,
645,648,659,660,661,662,666,667,668,669,670,671,672,673,674,698,699,726,727,
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,
918,919,920,921,922,923,924,925,926,927,961,962,970,971,972,973,988,989,996,
997,1007,1008,1019,1020,1021,1022,1026,1027,1037,1041,1042,1043,1045,1046,
1051,1052,1077,1078,1079,1080,1081,1082,1083,1084,1085,1086,1087,1088,1089,
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,
1195,1196,1197,1198,1199,1200,1201,1240,1241,1245,1259,1261,1262,1264,1265,
1266,1271,1272,1296,1297,1298,1316,1317,1330,1361,1362,1363,1364,1365,1366,
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,
1449,1456,1457,1459,1465,1466,1468,1469,1470,1474,1477,1478,1479,1482,1493,
1494,1522,1523,1524,1525,1526,1527,1528,1529,1530,1531,1532,1533,1534,1535,
1536,1563,1577,1578,1579,1587,1620,1622,1628,1653],[1,2,3,4,7,8,9,10,11,12,13,
14,15,16,17,18,22,26,27,30,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,
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,
77,78,79,80,81,82,83,84,85,86,87,88,89,98,101,106,107,110,112,113,115,117,120,
121,122,123,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,
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,
258,259,260,261,262,263,264,265,295,296,297,304,305,319,323,324,325,326,327,
328,332,337,338,339,340,344,346,347,355,356,357,358,359,360,361,362,363,364,
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,
555,556,557,558,559,560,561,562,563,564,565,566,567,608,609,610,616,617,618,
622,623,627,628,633,634,635,636,637,638,639,649,659,660,661,662,666,667,668,
669,670,671,672,673,674,698,699,726,727,728,729,730,731,732,733,734,735,736,
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,
927,960,961,970,971,972,973,978,988,989,990,991,992,993,994,996,997,1007,1008,
1015,1016,1019,1020,1021,1022,1037,1041,1042,1043,1045,1046,1051,1052,1077,
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,
1198,1199,1200,1201,1242,1243,1244,1245,1258,1259,1260,1261,1262,1263,1264,
1285,1286,1287,1294,1295,1296,1297,1303,1304,1305,1316,1317,1319,1320,1321,
1322,1326,1330,1361,1362,1363,1364,1365,1366,1367,1368,1369,1370,1371,1372,
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,
1403,1404,1405,1406,1407,1408,1409,1410,1411,1453,1466,1474,1475,1477,1478,
1480,1481,1482,1484,1485,1486,1487,1492,1493,1494,1495,1496,1497,1498,1499,
1503,1522,1523,1524,1525,1526,1527,1528,1529,1530,1531,1532,1533,1534,1535,
1536,1566,1579,1580,1581,1587,1624,1629,1630,1654],[1,2,3,4,5,8,9,10,11,12,13,
14,15,16,17,18,20,24,28,29,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,
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,
80,81,82,83,84,85,86,87,88,89,96,97,99,100,104,105,116,118,128,129,130,131,
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,
265,292,299,302,303,306,307,308,311,312,313,314,315,316,317,318,329,331,333,
334,341,342,343,345,355,356,357,358,359,360,361,362,363,364,365,366,367,368,
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,
559,560,561,562,563,564,565,566,567,602,603,604,605,613,614,615,621,624,630,
631,632,646,650,651,652,653,654,656,657,658,663,664,665,675,676,677,678,679,
680,681,682,683,684,685,686,687,688,693,695,696,697,700,701,702,703,704,706,
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,
916,917,918,919,920,921,922,923,924,925,926,927,953,954,955,956,963,964,965,
966,967,968,969,974,975,979,980,981,982,983,984,985,986,987,995,998,999,1000,
1001,1002,1003,1009,1010,1013,1014,1017,1025,1028,1031,1032,1033,1034,1035,
1036,1038,1039,1040,1044,1047,1049,1050,1077,1078,1079,1080,1081,1082,1083,
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,
1189,1190,1191,1192,1193,1194,1195,1196,1197,1198,1199,1200,1201,1238,1246,
1247,1248,1249,1250,1251,1252,1255,1256,1257,1267,1268,1269,1270,1273,1274,
1275,1276,1277,1282,1284,1288,1289,1290,1291,1292,1293,1299,1300,1301,1302,
1306,1308,1310,1311,1312,1313,1314,1315,1318,1323,1327,1331,1361,1362,1363,
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,
1409,1410,1411,1447,1448,1450,1452,1454,1458,1460,1461,1462,1463,1464,1467,
1471,1472,1473,1476,1483,1488,1490,1491,1500,1522,1523,1524,1525,1526,1527,
1528,1529,1530,1531,1532,1533,1534,1535,1536,1564,1567,1569,1570,1571,1573,
1574,1575,1576,1582,1587,1621,1623,1625,1626,1631,1632,1633,1655],[1,2,3,4,5,
8,9,10,11,13,15,18,19,20,24,28,29,38,39,40,41,42,53,56,57,61,65,66,67,70,71,
74,76,79,87,88,94,96,97,99,100,104,105,116,118,134,135,136,140,147,149,151,
155,171,176,191,197,207,211,213,214,215,217,219,220,222,225,228,229,231,234,
236,241,242,246,253,259,288,292,299,302,308,311,312,314,317,331,333,341,343,
345,355,356,360,394,396,399,408,415,432,433,437,438,441,456,462,469,473,479,
508,511,520,531,532,535,537,556,558,562,566,596,603,604,614,615,621,624,630,
631,646,658,664,676,684,695,697,703,729,745,747,758,761,808,810,843,898,900,
906,910,923,924,927,954,964,966,967,975,979,981,985,995,1000,1017,1025,1039,
1070,1083,1085,1147,1152,1153,1165,1176,1227,1238,1255,1276,1292,1301,1313,
1314,1318,1350,1409,1429,1447,1454,1458,1464,1549,1576,1634,1656],[1,2,3,4,5,
9,10,11,13,15,18,19,20,24,28,29,37,39,40,41,42,53,56,57,60,65,66,67,70,72,74,
75,76,79,87,88,94,97,100,104,105,116,118,134,135,136,139,147,150,153,154,157,
171,176,191,198,207,212,213,214,215,216,218,219,220,222,225,227,229,232,233,
234,236,239,240,246,254,258,288,292,299,303,306,312,313,315,331,333,342,345,
355,357,361,394,397,398,399,408,415,431,434,437,439,440,442,457,458,462,469,
473,478,507,510,519,531,532,534,537,557,559,561,566,597,603,605,613,615,621,
624,630,631,632,646,657,665,679,687,696,697,702,729,744,746,747,759,760,761,
809,811,842,898,900,905,910,923,925,926,955,964,965,968,969,975,980,982,987,
995,1001,1017,1025,1040,1070,1084,1085,1147,1151,1154,1164,1175,1227,1238,
1256,1275,1293,1302,1312,1315,1318,1351,1410,1429,1448,1454,1458,1463,1548,
1575,1634,1657],[1,2,3,4,7,8,9,10,11,12,13,14,15,16,17,19,22,34,35,37,39,40,
45,47,49,55,56,57,58,59,60,61,62,67,72,74,75,79,80,81,94,95,98,101,110,122,
123,134,135,139,141,142,143,145,146,147,148,149,153,154,157,158,168,171,172,
174,175,176,177,181,184,188,190,193,213,216,229,233,234,235,251,252,255,288,
289,290,295,296,297,323,325,337,338,344,355,357,359,363,365,373,377,380,398,
399,400,405,408,410,411,413,437,440,443,454,458,459,462,475,476,480,499,502,
513,546,560,598,608,609,610,618,639,649,667,668,698,699,723,726,727,738,743,
748,750,760,761,778,786,787,793,813,817,819,831,844,875,878,960,961,978,990,
1037,1071,1072,1076,1114,1117,1131,1193,1227,1244,1245,1258,1263,1287,1326,
1357,1358,1359,1366,1429,1430,1431,1475,1550,1566,1658],[1,2,3,4,5,8,9,10,11,
12,13,14,15,16,19,20,24,29,39,40,41,42,45,47,55,56,57,58,59,60,61,62,63,64,67,
72,75,76,77,78,79,80,81,94,95,97,99,100,105,118,134,135,136,141,142,144,145,
146,147,150,151,157,158,161,162,166,168,169,171,173,175,176,177,179,181,183,
184,188,213,216,229,233,234,235,250,251,252,255,288,289,290,292,299,303,307,
312,318,329,331,333,334,343,355,359,373,375,377,382,393,394,399,400,401,404,
405,408,410,412,413,418,429,430,437,440,443,459,462,480,494,495,497,499,502,
513,538,542,546,560,598,602,603,604,605,615,621,624,632,656,675,683,685,693,
697,706,726,729,747,748,761,777,778,780,783,787,797,799,813,819,844,878,883,
953,964,969,974,975,983,995,999,1009,1010,1028,1036,1070,1078,1085,1097,1112,
1117,1227,1238,1246,1267,1277,1306,1310,1311,1318,1356,1363,1429,1430,1431,
1450,1458,1473,1550,1573,1634,1659],[1,2,4,5,6,7,9,15,19,20,21,22,27,28,31,32,
33,37,39,40,60,65,67,76,90,91,92,94,97,98,100,104,107,108,121,127,139,150,218,
219,227,229,239,266,267,268,276,281,282,283,284,288,292,293,295,297,305,306,
307,312,314,317,334,342,350,353,442,568,570,572,576,577,578,579,597,605,613,
615,616,618,627,636,642,651,657,675,678,688,695,701,711,714,724,929,930,933,
934,935,938,965,972,1033,1058,1063,1070,1071,1075,1205,1208,1210,1213,1214,
1216,1217,1332,1339,1345,1351,1354,1415,1417,1445,1446,1515,1555,1561,1562,
1614,1635,1660],[1,2,4,5,6,7,8,9,15,19,20,21,22,29,31,32,34,35,37,39,61,65,67,
75,76,90,91,92,94,95,96,97,98,99,100,101,105,108,110,127,148,151,216,218,227,
242,257,266,267,268,270,271,272,273,274,275,288,289,290,292,293,295,297,306,
307,314,315,318,333,341,343,344,350,353,354,564,568,569,570,571,572,580,581,
582,585,598,604,610,613,616,632,638,639,642,650,652,676,680,685,687,701,707,
708,711,722,724,725,930,931,934,935,939,943,944,986,989,1050,1054,1055,1058,
1070,1071,1074,1206,1207,1213,1214,1218,1219,1225,1339,1342,1346,1356,1358,
1421,1423,1445,1446,1506,1555,1558,1559,1615,1635,1661],[1,2,3,5,6,7,8,9,13,
19,20,21,22,23,24,25,26,30,37,38,39,55,65,66,79,90,91,92,94,96,97,98,99,100,
101,106,118,119,120,127,133,146,211,212,227,228,230,266,267,268,269,277,278,
279,280,288,292,293,295,297,304,306,307,308,311,313,314,329,331,350,353,436,
568,569,570,571,572,573,574,575,585,586,596,602,608,613,614,616,620,622,633,
654,656,663,700,701,702,703,711,715,724,928,930,932,934,935,945,947,963,970,
1038,1055,1058,1059,1070,1071,1073,1202,1209,1211,1213,1214,1215,1222,1339,
1343,1344,1350,1352,1413,1426,1445,1446,1507,1555,1557,1560,1611,1635,1662],[
1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,22,23,24,25,26,27,28,29,37,
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,
64,65,66,67,71,72,73,74,75,76,77,78,79,80,81,82,83,84,86,91,96,97,99,100,101,
102,103,104,105,118,119,120,121,122,123,128,129,130,131,132,133,134,135,136,
137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,
156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,173,175,176,
177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,197,
198,201,202,203,204,205,208,209,210,211,212,213,214,215,216,217,218,219,220,
227,228,229,230,231,232,233,234,235,236,239,240,241,242,248,249,250,251,252,
253,254,255,256,257,258,259,267,269,282,292,293,294,295,296,298,299,300,301,
302,303,306,308,309,310,311,312,316,318,323,324,325,326,327,328,329,330,332,
341,342,343,356,357,358,360,361,362,363,364,365,366,367,368,369,370,371,372,
373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,
393,394,395,396,397,398,400,401,402,403,404,405,406,407,408,409,410,412,413,
414,417,418,419,420,423,427,428,429,430,433,434,435,436,437,438,439,440,441,
442,443,444,447,448,449,450,451,452,453,454,455,456,457,458,476,477,481,482,
487,488,489,490,491,492,493,494,495,496,497,498,499,500,501,502,503,504,505,
506,507,508,509,512,513,514,515,518,519,520,521,530,531,534,535,538,539,540,
541,542,543,544,545,546,547,548,551,552,558,559,560,561,562,563,564,571,577,
586,602,603,604,605,606,607,609,610,611,612,613,614,615,619,620,621,622,623,
624,625,626,627,628,629,630,631,632,652,653,654,655,657,658,659,660,661,662,
682,683,698,699,727,728,729,730,731,732,733,734,735,737,739,740,741,742,744,
745,746,749,750,751,752,753,757,758,759,760,762,763,764,765,766,767,768,769,
770,771,772,773,774,775,776,778,779,780,781,782,783,784,785,786,788,789,790,
791,797,798,799,800,805,806,807,810,811,812,813,814,815,816,817,818,820,821,
826,827,830,831,834,835,836,837,838,839,840,841,861,862,863,864,868,869,870,
871,874,875,876,877,881,882,883,887,888,889,890,891,934,936,946,954,955,956,
957,958,959,961,962,963,964,965,966,967,968,969,981,982,983,984,985,986,987,
996,997,998,999,1002,1003,1009,1010,1011,1012,1013,1028,1029,1030,1051,1052,
1077,1078,1079,1081,1083,1084,1086,1087,1088,1089,1090,1091,1092,1098,1099,
1100,1101,1105,1106,1107,1108,1109,1110,1111,1113,1114,1115,1116,1121,1122,
1123,1124,1126,1127,1128,1137,1138,1140,1141,1142,1149,1162,1163,1183,1184,
1206,1210,1211,1212,1238,1239,1240,1241,1245,1249,1250,1251,1252,1253,1254,
1255,1256,1257,1267,1268,1269,1270,1271,1272,1282,1283,1296,1297,1298,1361,
1364,1365,1372,1373,1374,1375,1388,1401,1424,1447,1448,1450,1451,1459,1460,
1466,1469,1470,1524,1542,1543,1563,1564,1565,1569,1570,1598,1621,1622,1636,
1663],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,22,23,24,25,26,28,
29,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,
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,
84,85,86,87,88,89,91,99,100,102,103,104,105,107,108,109,110,111,112,114,116,
117,118,119,120,122,123,128,129,131,132,133,134,135,136,137,138,141,142,144,
145,146,147,150,151,154,155,156,157,158,159,160,161,162,163,164,165,166,167,
168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,
187,188,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,
208,209,210,214,215,217,218,219,220,221,222,223,224,225,226,230,231,232,233,
234,235,236,237,238,243,244,245,246,247,248,249,250,251,252,253,254,256,257,
258,259,260,261,262,263,264,265,267,269,271,273,276,292,293,294,295,296,298,
299,300,301,306,308,309,310,315,316,317,320,321,322,323,324,325,328,329,330,
333,334,335,336,337,338,340,345,346,348,360,361,362,363,364,368,369,370,371,
372,373,374,375,376,377,378,379,382,383,384,385,386,387,388,390,391,392,393,
394,395,400,401,402,403,404,405,406,407,408,409,410,411,412,413,414,415,416,
417,418,419,420,421,422,423,424,425,426,427,428,429,430,443,444,445,446,449,
450,454,456,457,458,459,460,461,462,463,464,465,466,467,468,469,470,471,472,
473,474,475,478,479,481,482,483,484,485,486,487,488,489,490,491,492,493,494,
495,496,497,498,499,503,504,505,506,507,508,509,510,511,512,516,517,522,523,
524,525,526,527,528,529,530,531,532,533,536,537,538,539,540,541,542,543,544,
545,546,547,548,549,550,553,554,565,566,567,579,581,583,584,586,602,603,604,
605,606,607,611,612,619,620,621,622,623,624,625,626,629,630,631,635,636,637,
638,640,641,642,643,644,645,646,647,648,654,655,659,662,668,669,670,673,684,
686,687,688,689,690,691,692,693,694,704,705,729,730,731,732,733,735,738,739,
740,741,742,753,754,755,756,757,762,763,764,765,766,767,768,769,778,779,780,
781,782,783,792,793,794,795,797,798,799,800,817,818,819,822,823,824,825,827,
828,829,832,833,836,837,838,839,842,843,845,846,847,848,849,850,851,852,853,
854,855,856,857,858,860,861,862,865,866,867,872,873,879,880,881,882,883,885,
886,887,888,889,890,891,892,893,894,895,898,899,900,901,902,903,904,909,910,
911,918,919,920,921,922,923,934,936,948,954,955,956,957,958,959,961,962,974,
975,976,977,998,1000,1001,1004,1005,1006,1009,1010,1011,1012,1017,1018,1021,
1022,1023,1024,1025,1026,1027,1028,1029,1030,1045,1047,1048,1078,1079,1093,
1095,1096,1102,1103,1119,1120,1127,1128,1129,1130,1131,1132,1133,1134,1135,
1136,1137,1138,1147,1148,1166,1167,1168,1171,1172,1173,1178,1179,1180,1181,
1182,1184,1185,1186,1187,1188,1196,1197,1198,1211,1212,1217,1218,1220,1221,
1238,1239,1240,1241,1252,1253,1254,1261,1262,1265,1266,1271,1272,1273,1274,
1275,1276,1278,1279,1280,1281,1282,1283,1296,1298,1306,1307,1308,1309,1323,
1324,1325,1327,1328,1329,1361,1370,1371,1386,1387,1389,1390,1392,1393,1394,
1397,1418,1419,1450,1451,1454,1455,1456,1457,1465,1478,1479,1488,1489,1500,
1501,1502,1528,1542,1543,1563,1564,1565,1567,1568,1571,1572,1600,1601,1626,
1627,1628,1636,1664],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,22,
23,24,25,26,30,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,
59,60,61,62,63,64,65,66,67,71,72,73,74,75,76,77,78,79,80,81,82,83,84,86,91,98,
99,100,102,103,106,118,119,120,122,123,128,129,131,132,133,134,135,136,137,
138,141,142,144,145,146,147,150,151,154,155,156,157,158,159,160,161,162,163,
164,165,166,167,168,169,170,171,173,175,176,177,178,179,180,181,182,183,184,
185,186,187,188,191,192,193,194,197,198,201,202,203,204,205,208,209,210,211,
212,213,214,215,216,227,228,229,230,231,232,233,234,235,236,248,249,250,251,
252,253,254,255,267,269,277,292,293,294,295,296,298,299,300,301,304,306,307,
308,309,310,313,314,323,324,325,328,329,330,331,339,355,359,360,361,362,363,
364,368,369,370,371,372,373,374,375,376,377,378,379,382,383,384,385,386,387,
388,390,391,393,394,395,399,400,401,402,403,404,405,406,407,408,409,410,412,
413,414,417,418,419,420,423,427,428,429,430,431,432,436,437,438,439,440,443,
444,451,452,453,455,459,462,480,481,482,487,488,489,490,491,492,493,494,495,
496,497,498,499,500,501,502,510,511,512,513,532,538,539,540,541,542,543,544,
545,546,549,555,558,559,560,565,572,573,586,602,603,604,605,606,607,611,612,
616,617,619,620,621,622,623,624,625,626,629,633,634,654,655,656,659,662,663,
667,671,700,701,702,703,726,729,730,731,732,733,735,736,739,740,741,742,747,
748,753,757,761,762,763,764,765,766,767,768,769,777,778,779,780,781,782,783,
787,796,797,798,799,800,801,802,803,804,808,809,813,814,819,827,834,835,844,
853,859,860,868,869,872,876,877,878,881,882,883,884,887,888,889,890,891,896,
916,917,934,936,947,953,954,955,956,957,958,959,961,962,970,971,979,980,995,
1009,1010,1011,1012,1028,1029,1030,1038,1043,1078,1079,1080,1082,1085,1097,
1104,1112,1117,1118,1125,1127,1128,1137,1138,1139,1150,1162,1169,1170,1177,
1179,1190,1200,1211,1212,1213,1222,1238,1239,1240,1241,1246,1252,1253,1254,
1259,1264,1271,1272,1282,1283,1284,1288,1289,1296,1298,1312,1313,1361,1362,
1363,1378,1383,1385,1396,1426,1449,1450,1451,1458,1467,1468,1494,1523,1542,
1543,1563,1564,1565,1573,1574,1597,1620,1623,1636,1665],[1,2,3,4,5,7,8,9,10,
11,12,13,14,15,16,17,18,20,22,24,26,27,28,29,30,33,34,35,37,38,39,40,43,44,45,
46,47,48,49,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,
75,76,79,80,81,82,83,84,85,86,87,88,89,90,96,97,98,99,100,101,104,105,106,107,
110,112,113,115,116,117,118,120,121,122,128,129,132,133,134,135,137,138,139,
140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,
159,160,163,167,168,169,170,171,173,175,176,177,178,179,180,181,182,184,185,
186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,204,206,207,
209,210,211,212,213,214,215,216,217,218,219,220,221,223,224,226,227,228,229,
230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,248,249,250,251,
252,253,254,255,256,257,258,259,260,261,263,264,266,270,272,278,283,292,297,
302,303,304,305,306,307,308,311,312,313,314,315,316,317,318,319,323,324,326,
329,331,332,333,334,337,338,339,340,341,342,343,344,345,346,347,355,356,357,
358,359,360,361,362,364,366,367,373,374,375,376,377,379,380,381,383,385,386,
388,391,392,396,397,398,399,400,401,402,403,404,405,406,407,408,409,410,413,
414,415,416,417,420,424,427,428,429,430,431,432,433,434,435,436,437,438,439,
440,441,442,443,444,446,447,448,449,450,451,454,455,456,457,459,462,469,470,
472,474,477,478,479,480,481,487,488,489,490,491,492,497,498,499,500,501,502,
503,504,505,506,507,508,509,510,511,512,513,514,515,516,517,518,519,520,521,
526,527,528,529,530,531,532,533,534,535,536,539,541,542,544,545,546,547,548,
549,550,551,552,553,555,556,557,558,559,560,561,562,563,564,568,569,570,574,
576,580,585,591,593,602,603,604,605,608,613,614,615,618,621,630,631,632,639,
650,651,652,653,654,656,657,658,659,660,663,664,665,666,667,668,669,670,671,
672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,693,695,
696,697,698,700,701,702,703,704,706,726,728,731,736,737,739,741,742,746,748,
749,751,754,758,759,761,764,765,768,769,770,771,772,774,775,778,779,784,785,
786,787,788,791,792,795,796,799,800,801,802,803,804,805,806,807,808,809,810,
811,812,813,814,815,816,818,819,825,830,832,833,834,839,842,843,844,855,856,
857,858,859,860,861,862,863,864,866,867,870,874,878,879,880,887,891,892,893,
894,895,896,897,900,901,905,906,907,908,912,913,914,915,916,917,924,925,926,
927,928,929,930,931,932,933,935,939,940,943,945,949,953,954,955,956,960,963,
964,965,966,967,968,969,974,975,979,980,981,982,983,984,985,986,987,990,995,
998,999,1000,1001,1002,1003,1009,1010,1013,1014,1017,1031,1032,1033,1034,1035,
1036,1037,1038,1039,1040,1041,1042,1043,1044,1045,1046,1047,1049,1050,1051,
1080,1081,1082,1086,1087,1090,1091,1095,1096,1098,1108,1110,1113,1117,1123,
1129,1130,1137,1139,1141,1143,1144,1155,1156,1157,1158,1159,1160,1161,1166,
1167,1168,1169,1170,1174,1175,1176,1182,1190,1191,1192,1199,1200,1202,1203,
1204,1205,1207,1208,1209,1214,1215,1216,1219,1223,1224,1225,1242,1243,1244,
1246,1247,1248,1249,1250,1251,1255,1256,1257,1258,1263,1267,1268,1269,1270,
1273,1274,1275,1276,1277,1282,1284,1285,1286,1288,1289,1290,1291,1292,1293,
1299,1300,1301,1302,1306,1308,1310,1311,1312,1313,1314,1315,1318,1330,1331,
1373,1381,1382,1383,1391,1397,1399,1402,1403,1404,1405,1412,1413,1414,1415,
1416,1422,1423,1427,1428,1452,1453,1460,1461,1462,1463,1464,1467,1471,1472,
1473,1475,1476,1480,1481,1483,1486,1487,1488,1490,1491,1496,1527,1537,1538,
1539,1540,1541,1544,1545,1547,1581,1582,1588,1589,1590,1591,1592,1593,1594,
1595,1596,1599,1602,1637,1638,1639,1640,1641,1642,1643,1666],[1,2,5,7,9,19,20,
22,36,39,40,67,90,94,97,98,100,124,229,266,288,291,292,296,297,307,312,334,
568,597,601,615,617,618,675,931,935,1070,1072,1216,1351,1444,1556,1667],[1,3,
6,7,11,12,14,23,30,36,44,62,70,82,92,102,122,159,172,247,280,291,298,335,339,
349,466,607,649,709,977,994,1057,1235,1341,1668],[1,2,3,4,7,8,9,10,11,12,13,
14,15,16,17,18,19,22,26,27,30,33,34,35,37,39,40,43,44,45,46,47,48,49,52,53,54,
55,56,57,58,59,60,61,62,63,64,66,67,70,71,72,74,75,76,79,80,81,82,83,84,86,94,
95,98,101,106,107,110,112,113,115,117,120,121,122,123,128,129,132,134,135,137,
138,139,141,142,143,144,145,146,147,148,149,153,154,157,158,159,160,163,167,
168,169,170,171,172,173,174,175,176,177,179,180,181,182,184,185,186,187,188,
190,193,197,198,201,204,209,210,212,213,216,218,220,229,231,233,234,235,240,
241,245,246,247,248,249,250,251,252,253,255,256,259,288,289,290,295,296,297,
304,305,319,323,324,325,326,332,337,338,339,340,344,346,347,355,357,359,363,
365,373,374,377,379,380,383,386,388,391,396,398,399,400,401,402,403,404,405,
406,407,408,409,410,411,413,414,417,420,427,428,429,430,437,440,443,445,447,
450,452,453,454,458,459,462,465,466,467,468,471,473,475,476,480,482,487,488,
489,490,491,492,497,498,499,501,502,504,505,513,520,521,534,539,541,542,544,
545,546,552,555,560,596,597,598,608,609,610,618,633,634,635,636,639,649,659,
660,666,667,668,669,670,671,672,673,674,698,699,723,726,727,738,739,741,742,
743,744,745,748,750,752,760,761,764,765,768,769,771,772,773,776,778,779,784,
786,787,789,790,793,794,796,799,800,801,802,813,817,819,822,823,831,835,838,
844,859,864,871,875,878,885,886,887,891,896,898,899,916,917,950,960,961,978,
990,992,994,1007,1008,1037,1041,1042,1043,1045,1046,1051,1071,1072,1076,1082,
1087,1092,1099,1109,1111,1114,1117,1124,1131,1132,1135,1136,1137,1139,1140,
1151,1152,1169,1170,1190,1193,1200,1201,1227,1242,1243,1244,1245,1258,1262,
1263,1264,1285,1286,1287,1303,1304,1326,1330,1352,1353,1354,1355,1357,1358,
1359,1366,1372,1376,1383,1394,1395,1398,1429,1430,1431,1453,1475,1480,1481,
1482,1486,1487,1496,1499,1518,1519,1530,1548,1549,1550,1566,1581,1603,1624,
1658,1669],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,18,19,20,24,28,29,37,38,39,
40,41,42,45,47,49,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,70,71,72,73,
74,75,76,77,78,79,80,81,85,87,88,89,94,95,96,97,99,100,104,105,116,118,132,
133,134,135,136,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,
154,155,156,157,158,161,162,166,168,169,171,173,175,176,177,178,179,180,181,
183,184,188,189,190,191,192,193,194,195,196,197,198,199,200,206,207,211,212,
213,214,215,216,217,218,219,220,222,225,227,228,229,230,231,232,233,234,235,
236,239,240,241,242,245,246,247,250,251,252,253,254,255,256,257,258,259,262,
265,288,289,290,292,299,302,303,306,307,308,311,312,313,314,315,316,317,318,
329,331,333,334,341,342,343,345,355,356,357,358,359,360,361,362,364,366,367,
373,375,376,377,380,381,382,385,386,392,393,394,396,397,398,399,400,401,404,
405,408,410,412,413,415,416,418,424,429,430,431,432,433,434,435,436,437,438,
439,440,441,442,443,444,445,447,448,449,450,452,455,456,457,458,459,462,469,
470,471,473,477,478,479,480,482,494,495,497,499,500,501,502,503,504,505,506,
507,508,509,510,511,512,513,514,515,518,519,520,521,522,523,524,525,530,531,
532,534,535,537,538,542,546,547,548,549,551,552,554,556,557,558,559,560,561,
562,563,564,566,567,596,597,598,602,603,604,605,613,614,615,621,624,630,631,
632,646,650,651,652,653,654,656,657,658,663,664,665,675,676,677,678,679,680,
681,682,683,684,685,686,687,688,693,695,696,697,700,701,702,703,704,706,726,
728,729,731,736,737,744,745,746,747,748,749,752,754,758,759,760,761,772,774,
776,777,778,780,783,784,785,787,788,790,792,794,797,799,803,804,805,806,807,
808,809,810,811,812,813,814,815,816,818,819,820,825,830,832,833,836,842,843,
844,855,856,860,861,862,863,864,865,873,874,876,878,879,883,885,897,898,900,
903,905,906,907,908,909,910,912,913,914,915,918,920,923,924,925,926,927,950,
953,954,955,956,963,964,965,966,967,968,969,974,975,979,980,981,982,983,984,
985,986,987,995,998,999,1000,1001,1002,1003,1009,1010,1013,1014,1017,1025,
1028,1031,1032,1033,1034,1035,1036,1038,1039,1040,1044,1047,1049,1050,1070,
1078,1080,1081,1083,1084,1085,1097,1099,1101,1105,1106,1108,1109,1112,1113,
1116,1117,1120,1129,1135,1147,1151,1152,1153,1154,1155,1156,1157,1158,1159,
1164,1165,1171,1174,1175,1176,1182,1187,1196,1199,1227,1238,1246,1247,1248,
1249,1250,1251,1255,1256,1257,1267,1268,1269,1270,1273,1274,1275,1276,1277,
1282,1284,1288,1289,1290,1291,1292,1293,1299,1300,1301,1302,1306,1308,1310,
1311,1312,1313,1314,1315,1318,1323,1331,1350,1351,1356,1363,1365,1370,1376,
1377,1379,1399,1406,1407,1409,1410,1429,1430,1431,1447,1448,1450,1452,1454,
1458,1460,1461,1462,1463,1464,1467,1471,1472,1473,1476,1483,1488,1490,1491,
1520,1525,1548,1549,1550,1567,1570,1573,1575,1576,1582,1603,1632,1634,1656,
1657,1659,1670],[1,2,3,4,5,6,7,8,9,13,15,18,19,20,21,22,23,24,25,26,27,28,29,
30,31,32,33,34,35,37,38,39,40,53,55,60,61,65,66,67,71,72,73,75,76,79,90,91,92,
94,95,96,97,98,99,100,101,104,105,106,107,108,109,110,111,112,113,114,115,116,
117,118,119,120,121,127,133,139,140,146,148,150,151,152,156,158,192,197,198,
211,212,213,216,217,218,219,220,227,228,229,230,235,239,240,241,242,255,256,
257,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,
284,288,289,290,292,293,295,297,302,303,304,305,306,307,308,311,312,313,314,
315,316,317,318,319,329,331,332,333,334,341,342,343,344,345,346,347,348,350,
353,354,358,362,435,436,441,442,509,518,521,530,534,535,560,563,564,568,569,
570,571,572,573,574,575,576,577,578,579,580,581,582,583,584,585,586,588,589,
590,591,592,593,594,595,596,597,598,602,604,605,608,610,613,614,615,616,618,
620,622,627,632,633,636,638,639,642,650,651,652,653,654,656,657,658,663,664,
665,666,675,676,677,678,679,680,681,682,683,684,685,686,687,688,693,695,696,
697,700,701,702,703,704,706,707,708,711,714,715,722,724,725,812,928,929,930,
931,932,933,934,935,937,938,939,940,941,942,943,944,945,946,947,948,949,950,
956,963,965,966,970,972,983,984,986,989,990,996,1008,1013,1014,1020,1022,1023,
1031,1032,1033,1034,1035,1036,1038,1039,1040,1044,1047,1049,1050,1054,1055,
1058,1059,1063,1064,1065,1070,1071,1073,1074,1075,1202,1203,1204,1205,1206,
1207,1208,1209,1210,1211,1213,1214,1215,1216,1217,1218,1219,1222,1223,1224,
1225,1226,1257,1317,1331,1332,1339,1342,1343,1344,1345,1346,1348,1349,1350,
1351,1352,1354,1356,1358,1360,1413,1414,1415,1416,1417,1418,1420,1421,1422,
1423,1424,1425,1426,1427,1428,1445,1446,1504,1506,1507,1508,1510,1515,1516,
1518,1520,1546,1547,1555,1557,1558,1559,1560,1561,1562,1584,1611,1614,1615,
1617,1618,1635,1651,1660,1661,1662,1671],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,
16,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,
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,
70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,91,96,97,98,99,
100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,
119,120,121,122,123,128,129,130,131,132,133,134,135,136,137,138,139,140,141,
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,
256,257,258,259,260,261,262,263,264,265,267,269,271,273,276,277,282,292,293,
294,295,296,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,
314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,
333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,355,356,357,
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,
567,571,572,573,577,579,581,583,584,586,590,592,602,603,604,605,606,607,609,
610,611,612,613,614,615,616,617,619,620,621,622,623,624,625,626,627,628,629,
630,631,632,633,634,635,636,637,638,640,641,642,643,644,645,646,647,648,650,
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,
689,690,691,692,693,694,695,696,697,698,699,700,701,702,703,704,705,706,726,
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,
917,918,919,920,921,922,923,924,925,926,927,934,936,937,938,941,944,946,947,
948,953,954,955,956,957,958,959,961,962,963,964,965,966,967,968,969,970,971,
972,973,974,975,976,977,979,980,981,982,983,984,985,986,987,988,989,995,996,
997,998,999,1000,1001,1002,1003,1004,1005,1006,1007,1008,1009,1010,1011,1012,
1013,1014,1017,1018,1019,1020,1021,1022,1023,1024,1025,1026,1027,1028,1029,
1030,1031,1032,1033,1034,1035,1036,1037,1038,1039,1040,1041,1042,1043,1044,
1045,1046,1047,1048,1049,1050,1051,1052,1077,1078,1079,1080,1081,1082,1083,
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,
1189,1190,1191,1192,1193,1194,1195,1196,1197,1198,1199,1200,1201,1206,1210,
1211,1212,1213,1217,1218,1220,1221,1222,1226,1238,1239,1240,1241,1245,1246,
1247,1248,1249,1250,1251,1252,1253,1254,1255,1256,1257,1259,1261,1262,1264,
1265,1266,1267,1268,1269,1270,1271,1272,1273,1274,1275,1276,1277,1278,1279,
1280,1281,1282,1283,1284,1288,1289,1290,1291,1292,1293,1296,1297,1298,1299,
1300,1301,1302,1306,1307,1308,1309,1310,1311,1312,1313,1314,1315,1316,1317,
1318,1323,1324,1325,1327,1328,1329,1330,1331,1361,1362,1363,1364,1365,1366,
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,
1417,1418,1419,1420,1421,1424,1425,1426,1447,1448,1449,1450,1451,1452,1454,
1455,1456,1457,1458,1459,1460,1461,1462,1463,1464,1465,1466,1467,1468,1469,
1470,1471,1472,1473,1474,1476,1477,1478,1479,1482,1483,1488,1489,1490,1491,
1493,1494,1500,1501,1502,1522,1523,1524,1525,1526,1527,1528,1529,1530,1531,
1532,1533,1534,1535,1536,1542,1543,1546,1563,1564,1565,1567,1568,1569,1570,
1571,1572,1573,1574,1575,1576,1577,1578,1579,1582,1587,1597,1598,1600,1601,
1620,1621,1622,1623,1625,1626,1627,1628,1631,1632,1633,1636,1644,1653,1655,
1663,1664,1665,1672],[1,2,4,5,7,8,9,15,19,20,22,27,29,33,36,38,39,40,61,66,67,
76,90,94,95,96,97,98,99,100,105,107,121,124,125,126,140,151,217,220,228,229,
241,266,283,288,289,290,291,292,296,297,305,307,308,311,312,313,315,334,341,
343,352,441,568,569,576,596,597,598,599,600,601,604,614,615,617,618,628,635,
650,658,675,677,686,696,700,928,931,933,935,950,952,966,973,1032,1070,1072,
1204,1207,1215,1216,1350,1351,1355,1356,1416,1444,1520,1556,1613,1667,1673],[
1,3,4,6,7,11,12,14,16,18,23,27,30,31,34,36,41,44,48,54,62,64,68,70,77,81,82,
84,88,89,92,102,109,113,122,125,159,162,165,172,205,206,210,223,225,238,247,
262,263,275,280,281,291,298,309,320,326,335,338,339,349,370,422,464,466,486,
516,522,594,599,607,612,641,649,674,689,709,716,846,957,977,991,994,1004,1015,
1057,1061,1235,1281,1319,1333,1336,1341,1441,1513,1668,1674],[1,3,4,6,7,10,11,
12,14,16,18,23,27,30,32,35,36,42,44,48,54,62,63,69,70,77,80,82,84,88,89,92,
102,103,111,115,122,126,159,161,164,172,205,206,209,221,222,237,247,260,265,
274,280,284,291,298,310,321,326,335,337,339,349,368,422,463,466,484,517,523,
588,600,607,611,640,649,672,692,709,717,845,958,977,993,994,1005,1015,1056,
1057,1060,1235,1280,1320,1334,1337,1341,1440,1512,1668,1675],[1,2,3,6,7,10,11,
12,13,14,21,22,23,25,30,36,44,45,57,58,59,62,70,82,92,102,103,106,119,122,124,
138,145,159,160,172,174,185,245,246,247,268,279,280,291,298,323,330,335,336,
339,349,374,411,445,466,467,575,601,606,607,625,649,671,694,709,710,712,823,
976,977,978,994,1011,1053,1056,1057,1235,1303,1307,1335,1340,1341,1439,1509,
1668,1676],[1,2,3,4,7,8,9,10,11,12,13,14,15,16,17,18,22,26,27,30,33,34,35,36,
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,
89,98,101,106,107,110,112,113,115,117,120,121,122,123,124,128,129,130,131,132,
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,
291,295,296,297,300,301,304,305,319,323,324,325,326,327,328,332,337,338,339,
340,344,346,347,355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,
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,
560,561,562,563,564,565,566,567,601,608,609,610,616,617,618,622,623,626,627,
628,629,633,634,635,636,637,638,639,643,644,645,648,649,659,660,661,662,666,
667,668,669,670,671,672,673,674,698,699,720,721,726,727,728,729,730,731,732,
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,
923,924,925,926,927,960,961,962,970,971,972,973,978,988,989,990,991,992,993,
994,996,997,1007,1008,1015,1016,1019,1020,1021,1022,1026,1027,1037,1041,1042,
1043,1045,1046,1051,1052,1068,1069,1077,1078,1079,1080,1081,1082,1083,1084,
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,
1190,1191,1192,1193,1194,1195,1196,1197,1198,1199,1200,1201,1235,1236,1237,
1240,1241,1242,1243,1244,1245,1258,1259,1260,1261,1262,1263,1264,1265,1266,
1271,1272,1285,1286,1287,1294,1295,1296,1297,1298,1303,1304,1305,1316,1317,
1319,1320,1321,1322,1326,1330,1361,1362,1363,1364,1365,1366,1367,1368,1369,
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,
1400,1401,1402,1403,1404,1405,1406,1407,1408,1409,1410,1411,1439,1442,1443,
1444,1449,1453,1456,1457,1459,1465,1466,1468,1469,1470,1474,1475,1477,1478,
1479,1480,1481,1482,1484,1485,1486,1487,1492,1493,1494,1495,1496,1497,1498,
1499,1503,1522,1523,1524,1525,1526,1527,1528,1529,1530,1531,1532,1533,1534,
1535,1536,1563,1566,1577,1578,1579,1580,1581,1585,1587,1610,1620,1622,1624,
1628,1629,1630,1647,1648,1649,1653,1654,1677],[1,2,3,4,5,7,8,9,10,11,12,13,14,
15,16,17,19,20,22,24,29,34,35,37,39,40,41,42,45,47,49,55,56,57,58,59,60,61,62,
63,64,65,67,68,69,72,74,75,76,77,78,79,80,81,90,94,95,97,98,99,100,101,105,
110,118,122,123,134,135,136,139,141,142,143,144,145,146,147,148,149,150,151,
153,154,157,158,161,162,166,168,169,171,172,173,174,175,176,177,179,181,183,
184,188,190,193,213,215,216,218,219,227,229,232,233,234,235,237,238,239,242,
243,244,250,251,252,255,257,259,266,270,272,288,289,290,292,295,296,297,299,
303,307,312,318,323,325,329,331,333,334,337,338,343,344,355,357,359,363,365,
373,375,377,380,382,393,394,397,398,399,400,401,404,405,408,410,411,412,413,
418,429,430,437,439,440,442,443,446,448,451,453,454,457,458,459,460,461,462,
463,464,472,474,475,476,480,481,494,495,497,499,502,503,505,513,514,538,542,
546,560,562,564,568,580,585,598,602,603,604,605,608,609,610,613,615,616,617,
618,621,624,630,632,637,638,639,649,656,667,668,675,683,685,693,697,698,699,
706,723,726,727,729,738,743,744,746,747,748,750,751,759,760,761,770,771,773,
775,777,778,780,783,786,787,789,791,793,795,797,799,813,816,817,819,821,824,
831,837,844,854,875,877,878,883,892,894,902,922,930,931,935,939,953,960,961,
964,965,968,969,974,975,978,983,985,986,988,989,990,991,993,995,999,1003,1009,
1010,1028,1036,1037,1070,1071,1072,1076,1078,1084,1085,1095,1097,1098,1100,
1103,1107,1110,1111,1112,1114,1115,1117,1131,1143,1144,1145,1173,1193,1209,
1216,1219,1225,1227,1238,1244,1245,1246,1258,1259,1260,1261,1263,1267,1269,
1277,1287,1305,1306,1310,1311,1318,1326,1327,1356,1357,1358,1359,1363,1364,
1366,1369,1380,1381,1389,1412,1427,1429,1430,1431,1448,1450,1458,1473,1474,
1475,1495,1529,1537,1538,1539,1550,1555,1556,1566,1569,1571,1573,1590,1593,
1594,1615,1616,1629,1631,1634,1643,1658,1659,1678],[1,2,3,4,6,7,10,11,12,13,
14,15,16,18,21,22,23,25,27,30,31,32,34,35,36,41,42,44,45,47,48,52,53,54,57,58,
59,62,63,64,68,69,70,77,78,80,81,82,84,85,87,88,89,92,102,103,106,108,109,110,
111,113,114,115,119,121,122,124,125,126,129,132,136,138,144,145,159,160,161,
162,164,165,166,172,174,183,185,187,188,195,196,199,200,202,205,206,207,209,
210,221,222,223,225,237,238,243,244,245,246,247,260,262,263,265,268,274,275,
279,280,281,284,291,298,309,310,320,321,322,323,326,330,335,336,337,338,339,
347,348,349,352,368,370,371,374,378,382,387,391,392,411,422,425,445,446,460,
461,463,464,466,467,484,486,516,517,522,523,524,525,529,533,537,550,554,575,
578,582,588,589,594,595,599,600,601,606,607,611,612,625,640,641,649,655,660,
668,671,672,674,689,690,691,692,694,705,709,710,712,716,717,732,756,823,824,
828,845,846,847,848,865,867,942,952,957,958,959,976,977,978,991,993,994,1004,
1005,1006,1011,1012,1015,1018,1046,1048,1053,1056,1057,1060,1061,1062,1066,
1186,1235,1278,1279,1280,1281,1283,1295,1303,1305,1307,1309,1319,1320,1333,
1334,1335,1336,1337,1338,1340,1341,1347,1439,1440,1441,1489,1498,1505,1509,
1511,1512,1513,1514,1517,1554,1583,1668,1674,1675,1676,1679],[1,2,3,5,7,9,12,
13,14,19,20,22,26,30,36,39,40,43,45,46,56,58,67,79,82,90,94,97,98,100,106,120,
122,124,127,128,134,137,147,168,184,185,213,229,234,248,252,266,278,288,291,
292,296,297,301,304,307,312,323,324,334,339,353,359,405,406,437,459,480,487,
555,568,570,574,597,601,603,615,617,618,623,629,634,659,667,671,675,721,724,
739,801,859,878,916,929,931,932,935,953,960,964,971,974,1043,1069,1070,1072,
1075,1170,1203,1216,1235,1236,1242,1258,1271,1285,1310,1351,1353,1412,1439,
1443,1444,1445,1468,1480,1537,1540,1556,1562,1591,1612,1649,1667,1680],[1,2,3,
4,5,7,8,9,10,11,12,13,14,15,16,17,18,19,20,22,24,26,27,28,29,30,33,34,35,37,
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,
90,94,95,96,97,98,99,100,101,104,105,106,107,110,112,113,115,116,117,118,120,
121,122,123,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,
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,
258,259,260,261,262,263,264,265,266,270,272,278,283,288,289,290,292,295,296,
297,299,302,303,304,305,306,307,308,311,312,313,314,315,316,317,318,319,323,
324,325,326,327,328,329,331,332,333,334,337,338,339,340,341,342,343,344,345,
346,347,355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,
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,
562,563,564,565,566,567,568,569,570,574,576,580,585,591,593,596,597,598,602,
603,604,605,608,609,610,613,614,615,616,617,618,621,622,623,624,627,628,630,
631,632,633,634,635,636,637,638,639,646,649,650,651,652,653,654,656,657,658,
659,660,661,662,663,664,665,666,667,668,669,670,671,672,673,674,675,676,677,
678,679,680,681,682,683,684,685,686,687,688,693,695,696,697,698,699,700,701,
702,703,704,706,723,726,727,728,729,730,731,732,733,734,735,736,737,738,739,
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,
930,931,932,933,935,939,940,943,945,949,950,953,954,955,956,960,961,963,964,
965,966,967,968,969,970,971,972,973,974,975,978,979,980,981,982,983,984,985,
986,987,988,989,990,991,992,993,994,995,996,997,998,999,1000,1001,1002,1003,
1007,1008,1009,1010,1013,1014,1015,1016,1017,1019,1020,1021,1022,1025,1028,
1031,1032,1033,1034,1035,1036,1037,1038,1039,1040,1041,1042,1043,1044,1045,
1046,1047,1049,1050,1051,1052,1070,1071,1072,1076,1077,1078,1079,1080,1081,
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,
1202,1203,1204,1205,1207,1208,1209,1214,1215,1216,1219,1223,1224,1225,1227,
1238,1242,1243,1244,1245,1246,1247,1248,1249,1250,1251,1252,1255,1256,1257,
1258,1259,1260,1261,1262,1263,1264,1267,1268,1269,1270,1273,1274,1275,1276,
1277,1282,1284,1285,1286,1287,1288,1289,1290,1291,1292,1293,1294,1295,1296,
1297,1299,1300,1301,1302,1303,1304,1305,1306,1308,1310,1311,1312,1313,1314,
1315,1316,1317,1318,1319,1320,1321,1322,1323,1326,1327,1330,1331,1350,1351,
1352,1353,1354,1355,1356,1357,1358,1359,1361,1362,1363,1364,1365,1366,1367,
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,
1398,1399,1400,1401,1402,1403,1404,1405,1406,1407,1408,1409,1410,1411,1412,
1413,1414,1415,1416,1422,1423,1427,1428,1429,1430,1431,1447,1448,1450,1452,
1453,1454,1458,1460,1461,1462,1463,1464,1466,1467,1471,1472,1473,1474,1475,
1476,1477,1478,1480,1481,1482,1483,1484,1485,1486,1487,1488,1490,1491,1492,
1493,1494,1495,1496,1497,1498,1499,1500,1503,1518,1519,1520,1522,1523,1524,
1525,1526,1527,1528,1529,1530,1531,1532,1533,1534,1535,1536,1537,1538,1539,
1540,1541,1544,1545,1547,1548,1549,1550,1555,1556,1564,1566,1567,1569,1570,
1571,1573,1574,1575,1576,1579,1580,1581,1582,1587,1588,1589,1590,1591,1592,
1593,1594,1595,1596,1599,1602,1603,1611,1612,1613,1614,1615,1616,1621,1623,
1624,1625,1626,1629,1630,1631,1632,1633,1634,1637,1638,1639,1640,1641,1642,
1643,1650,1651,1654,1655,1656,1657,1658,1659,1666,1669,1670,1678,1681],[1,2,3,
5,6,7,9,10,11,13,19,20,21,22,23,24,25,26,30,39,40,41,42,56,57,67,79,90,91,92,
93,94,97,98,100,102,103,106,118,119,120,134,135,136,147,171,176,213,229,234,
266,267,268,269,277,278,279,280,287,288,292,294,296,299,300,304,309,310,312,
330,331,333,349,350,351,355,394,399,408,437,462,568,570,572,573,574,575,586,
597,603,615,617,619,621,623,624,626,634,655,697,709,710,711,712,713,715,729,
747,761,929,931,932,936,947,951,964,971,975,995,1029,1053,1056,1057,1058,1059,
1070,1072,1085,1203,1212,1227,1228,1229,1230,1238,1240,1254,1318,1332,1333,
1334,1335,1344,1346,1351,1353,1429,1438,1449,1458,1505,1516,1542,1551,1552,
1556,1597,1604,1608,1612,1634,1682],[1,2,3,4,5,7,8,9,12,13,14,15,18,19,20,22,
26,27,29,30,33,34,35,36,38,39,40,43,45,46,53,56,58,61,65,66,67,68,69,71,74,76,
79,82,85,89,90,94,95,96,97,98,99,100,101,105,106,107,110,112,113,115,117,120,
121,122,124,125,126,127,128,134,137,140,147,149,151,155,168,184,185,191,196,
197,211,213,215,217,219,220,224,226,228,229,232,234,236,241,242,244,248,252,
253,254,259,260,263,266,270,272,278,283,288,289,290,291,292,296,297,301,304,
305,307,308,311,312,313,315,319,323,324,332,334,339,341,343,344,346,347,352,
353,354,356,359,360,397,405,406,416,431,433,437,441,449,459,470,474,478,480,
487,500,508,510,520,531,535,536,549,550,555,557,558,562,568,569,570,574,576,
580,585,591,593,596,597,598,599,600,601,603,604,609,614,615,617,618,623,628,
629,630,634,635,637,643,648,650,658,659,666,667,671,675,677,686,696,700,721,
722,724,725,739,770,785,801,803,810,833,856,857,859,878,892,893,907,915,916,
925,928,929,930,931,932,933,935,939,940,943,945,949,950,952,953,954,960,964,
966,971,973,974,980,981,985,988,997,1001,1007,1019,1021,1026,1032,1043,1069,
1070,1072,1073,1074,1075,1086,1144,1156,1160,1168,1170,1192,1202,1203,1204,
1205,1207,1215,1216,1223,1224,1225,1235,1236,1242,1248,1255,1258,1271,1273,
1285,1288,1293,1299,1310,1316,1350,1351,1353,1355,1356,1357,1360,1405,1412,
1416,1428,1439,1440,1441,1443,1444,1445,1465,1468,1469,1480,1491,1519,1520,
1537,1540,1545,1554,1556,1557,1559,1562,1578,1588,1591,1594,1612,1613,1616,
1617,1637,1649,1650,1667,1673,1680,1683],[1,2,3,4,5,6,7,8,9,10,11,13,15,18,19,
20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,38,39,40,41,42,53,56,57,61,65,
66,67,70,71,74,76,79,87,88,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,
105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,134,135,
136,140,147,149,151,155,171,176,191,197,207,211,213,214,215,217,219,220,222,
225,228,229,231,234,236,241,242,246,253,259,266,267,268,269,270,271,272,273,
274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,292,294,
296,299,300,302,304,305,308,309,310,311,312,314,317,319,320,321,322,330,331,
332,333,335,336,341,343,344,345,346,347,348,349,350,351,355,356,360,394,396,
399,408,415,432,433,437,438,441,456,462,469,473,479,508,511,520,531,532,535,
537,556,558,562,566,568,569,570,571,572,573,574,575,576,577,578,579,580,581,
582,583,584,585,586,587,588,589,590,591,592,593,594,595,596,597,598,603,604,
609,614,615,617,619,621,623,624,626,628,630,631,634,635,637,644,645,646,647,
655,658,664,666,676,684,689,690,691,692,694,695,697,703,705,707,708,709,710,
711,712,713,714,715,716,717,718,719,729,745,747,758,761,808,810,843,898,900,
906,910,923,924,927,928,929,930,931,932,933,936,937,938,939,940,941,942,943,
944,945,946,947,948,949,950,951,954,964,966,967,971,973,975,979,981,985,988,
995,997,1000,1007,1017,1019,1021,1024,1025,1027,1029,1039,1048,1053,1054,1055,
1056,1057,1058,1059,1060,1061,1062,1063,1064,1065,1066,1067,1070,1072,1083,
1085,1147,1152,1153,1165,1176,1202,1203,1204,1205,1212,1220,1221,1223,1224,
1225,1226,1227,1228,1229,1230,1231,1232,1233,1234,1238,1240,1254,1255,1276,
1292,1301,1313,1314,1316,1318,1324,1328,1332,1333,1334,1335,1336,1337,1338,
1339,1340,1341,1342,1343,1344,1345,1346,1347,1348,1349,1350,1351,1353,1355,
1356,1357,1409,1419,1428,1429,1432,1433,1434,1435,1436,1437,1438,1447,1449,
1454,1456,1458,1459,1464,1501,1504,1505,1506,1507,1508,1509,1510,1511,1512,
1513,1514,1515,1516,1517,1519,1520,1542,1549,1551,1552,1553,1556,1576,1577,
1583,1584,1597,1598,1600,1604,1605,1606,1607,1608,1609,1612,1613,1616,1634,
1644,1645,1646,1650,1656,1682,1684],[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,
1411,1412,1413,1414,1415,1416,1417,1418,1419,1420,1421,1422,1423,1424,1425,
1426,1427,1428,1429,1430,1431,1432,1433,1434,1435,1436,1437,1438,1439,1440,
1441,1442,1443,1444,1445,1446,1447,1448,1449,1450,1451,1452,1453,1454,1455,
1456,1457,1458,1459,1460,1461,1462,1463,1464,1465,1466,1467,1468,1469,1470,
1471,1472,1473,1474,1475,1476,1477,1478,1479,1480,1481,1482,1483,1484,1485,
1486,1487,1488,1489,1490,1491,1492,1493,1494,1495,1496,1497,1498,1499,1500,
1501,1502,1503,1504,1505,1506,1507,1508,1509,1510,1511,1512,1513,1514,1515,
1516,1517,1518,1519,1520,1521,1522,1523,1524,1525,1526,1527,1528,1529,1530,
1531,1532,1533,1534,1535,1536,1537,1538,1539,1540,1541,1542,1543,1544,1545,
1546,1547,1548,1549,1550,1551,1552,1553,1554,1555,1556,1557,1558,1559,1560,
1561,1562,1563,1564,1565,1566,1567,1568,1569,1570,1571,1572,1573,1574,1575,
1576,1577,1578,1579,1580,1581,1582,1583,1584,1585,1586,1587,1588,1589,1590,
1591,1592,1593,1594,1595,1596,1597,1598,1599,1600,1601,1602,1603,1604,1605,
1606,1607,1608,1609,1610,1611,1612,1613,1614,1615,1616,1617,1618,1619,1620,
1621,1622,1623,1624,1625,1626,1627,1628,1629,1630,1631,1632,1633,1634,1635,
1636,1637,1638,1639,1640,1641,1642,1643,1644,1645,1646,1647,1648,1649,1650,
1651,1652,1653,1654,1655,1656,1657,1658,1659,1660,1661,1662,1663,1664,1665,
1666,1667,1668,1669,1670,1671,1672,1673,1674,1675,1676,1677,1678,1679,1680,
1681,1682,1683,1684,1685]],
0,
[[1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1,1],[1,1,1],[1,1,1],[1,1,1],[1,1,
1],[1,1,2,1],[1,3,1],[1,1,2,1],[1,1,2,1],[1,3,1],[1,1,2,1],[1,1],[1,1,1,1],[1,
1,1,1],[1,1,1,1],[1,1,1,1],[1,1,1,1],[1,1,1,1],[1,1,1,1],[1,1,1,1],[1,3,1,1],[
1,3,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,1],[1,
1,3,1],[1,1,2,1,1],[1,1,3,1],[1,1,3,1],[1,1,3,1],[1,1,2,1,1],[1,1,3,1],[1,1,3,
1],[1,1,6,3,4,1],[1,7,7,1],[1,1,2,4,1,2,4,1],[1,3,4,1,6,1],[1,1,6,3,4,1],[1,7,
7,1],[1,1,6,3,4,1],[1,3,4,1,2,4,1],[1,1,2,4,1,2,4,1],[1,3,4,1,2,4,1],[1,1,2,1,
1,1,1],[1,1,2,2,1,1],[1,1,2,1,1,1,1],[1,1,2,2,1,1],[1,3,1,1,1,1],[1,1,2,2,1,
1],[1,1,2,1,1,1,1],[1,3,1,1,1,1],[1,1,2,1,1,1,1],[1,1,2,1,1,1,1],[1,1,1,1],[1,
1,1,1],[1,1,1,1],[1,1,1,1],[1,1,1,1],[1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,2,2,1,1,
1,1],[1,1,4,1,2,1],[1,1,4,1,2,1],[1,1,4,1,2,1],[1,1,4,1,2,1],[1,1,4,1,2,1],[1,
1,4,1,2,1],[1,1,4,1,2,1],[1,3,2,1,1,1,1],[1,3,2,1,1,1,1],[1,5,1,2,1],[1,1,4,1,
2,1],[1,1,4,1,2,1],[1,1,4,1,2,1],[1,3,2,1,1,1,1],[1,1,4,1,2,1],[1,1,4,1,2,1],[
1,1,4,1,2,1],[1,2,2,1],[1,1,2,1,1],[1,1,3,1],[1,1,1],[1,1,1,1],[1,5,1,1],[1,1,
1,3,1,1],[1,1,1,3,1,1],[1,1,1,3,1,1],[1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1,
1],[1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,6,1,3,1,2,1],[1,1,6,1,3,1,2,1],[1,1,6,1,3,
1,2,1],[1,1,6,1,3,1,2,1],[1,1,6,1,3,1,1,1,1],[1,1,6,1,3,1,2,1],[1,1,6,1,3,1,1,
1,1],[1,1,6,1,3,1,2,1],[1,1,6,1,3,1,1,1,1],[1,3,4,1,3,1,1,1,1],[1,1,6,1,3,1,1,
1,1],[1,3,4,1,3,1,1,1,1],[1,1,6,1,3,1,1,1,1],[1,1,6,1,3,1,1,1,1],[1,1,2,1,1,1,
2,1],[1,1,2,1,1,1,1,1,1],[1,1,2,1,1,1,2,1],[1,1,2,1,1,1,2,1],[1,3,4,1,1],[1,3,
4,1,1],[1,1,1,1],[1,7,1,1],[1,7,1,1],[1,1,1,1],[1,1,14,7,28,7,8,1],[1,1,6,8,3,
4,4,24,1,6,8,1],[1,1,14,7,28,7,8,1],[1,1,2,12,1,6,12,16,3,4,8,1],[1,1,6,8,3,4,
4,8,16,1,2,4,4,4,1],[1,1,2,3,3,1,1,3,3,1],[1,1,2,6,1,4,3,1],[1,1,2,6,1,4,3,
1],[1,1,2,3,3,1,1,3,3,1],[1,1,2,6,1,4,3,1],[1,1,2,6,1,4,3,1],[1,1,2,6,1,1,3,3,
1],[1,1,2,3,3,1,3,1,3,1],[1,1,6,1,3,3,4,1,3,3,1],[1,1,2,4,1,3,1,2,4,1,1,1,2,2,
1],[1,1,6,1,3,3,4,1,3,3,1],[1,1,2,4,1,1,2,1,2,4,1,1,1,2,2,1],[1,1,6,1,1,2,3,4,
1,1,1,2,2,1],[1,1,6,1,3,3,1,3,3,1],[1,1,6,4,3,1,3,3,1],[1,1,6,1,3,3,1,3,3,1],[
1,1,6,1,3,3,1,3,3,1],[1,1,6,4,3,1,3,3,1],[1,1,6,1,3,3,1,3,3,1],[1,1,6,2,2,3,1,
1,2,2,1,1],[1,1,6,4,3,1,3,1,2,1],[1,1,2,4,4,1,2,1,1,2,2,1,1],[1,1,2,4,2,2,1,2,
1,1,2,2,1,1],[1,1,2,4,2,2,1,2,1,1,1,1,1,1,1,1],[1,1,2,4,4,1,2,1,1,2,2,1,1],[1,
1,2,4,1,3,1,2,1,1,2,2,1,1],[1,7,1,3,3,1,3,3,1],[1,7,1,3,3,1,3,3,1],[1,3,4,2,1,
1,1,2,1,1,2,1,2,1],[1,3,4,3,1,1,2,1,1,2,1,2,1],[1,3,4,1,3,1,2,1,1,2,1,2,1],[1,
1,6,1,3,3,1,3,3,1],[1,1,6,1,3,3,1,3,3,1],[1,3,4,2,1,1,1,2,1,1,1,1,1,1,1,1],[1,
3,4,1,3,1,2,1,1,2,1,2,1],[1,1,2,2,4,1,1,2,1],[1,1,2,2,4,1,1,2,1],[1,1,2,1,1,4,
1,1,2,1],[1,1,2,2,2,2,1,1,2,1],[1,3,3,3,1,3,1],[1,1,2,1,1,4,1,1,2,1],[1,3,2,1,
3,1,2,1,1],[1,1,2,1,1,1,1,2,1,1,1,1,1],[1,1,2,4,1,1,1,2,1,1],[1,1,2,8,2,1,4,8,
2,1,4,1],[1,1,2,8,1,1,1,4,8,2,1,2,2,1],[1,1,2,8,2,1,4,8,2,1,4,1],[1,1,6,4,1,1,
3,4,2,4,1,1,1,2,2,1],[1,1,6,4,2,3,4,2,4,1,1,1,4,1],[1,1,2,8,2,1,4,8,2,1,4,1],[
1,1,2,8,1,1,1,4,8,2,1,2,2,1],[1,1,10,2,5,8,2,1,4,1],[1,1,10,2,5,8,2,1,4,1],[1,
1,6,4,2,3,4,2,4,1,1,1,4,1],[1,1,2,8,2,1,4,8,2,1,4,1],[1,1,6,4,1,1,3,4,2,4,1,1,
1,2,2,1],[1,1,10,1,1,5,8,2,1,2,1,1,1],[1,1,10,2,5,8,2,1,1,3,1],[1,1,2,8,2,1,4,
8,2,1,2,2,1],[1,1,2,8,1,1,1,4,8,2,1,2,2,1],[1,1,2,8,2,1,4,4,4,1,1,1,2,1,1,1],[
1,1,2,8,1,1,1,4,4,4,1,1,1,1,1,1,1,1],[1,3,8,1,1,1,4,8,2,1,2,2,1],[1,1,2,8,2,1,
4,8,2,1,2,2,1],[1,1,4,6,1,1,2,3,8,2,1,2,1,1,1],[1,1,4,6,2,2,3,8,2,1,2,1,1,1],[
1,3,8,1,1,1,4,8,2,1,2,2,1],[1,3,8,1,1,1,4,8,2,1,2,2,1],[1,7,4,1,1,7,2,4,1,1,1,
2,2,1],[1,3,8,1,1,1,8,4,1,1,1,2,2,1],[1,3,8,1,1,1,4,4,4,1,1,1,1,1,1,1,1],[1,7,
4,1,1,7,2,4,1,1,1,2,2,1],[1,3,8,1,1,1,8,4,1,1,1,2,2,1],[1,3,8,1,1,1,4,8,2,1,2,
2,1],[1,1,2,8,1,1,1,4,8,2,1,2,2,1],[1,3,8,1,1,1,4,4,4,1,1,1,1,1,1,1,1],[1,5,6,
1,1,2,7,4,1,1,1,2,1,1,1],[1,5,6,1,1,2,7,4,1,1,1,2,1,1,1],[1,1,4,2,1,2,1,1,1,
1],[1,1,4,3,2,1,1,1,1],[1,1,4,3,2,1,1,1,1],[1,1,4,3,2,1,1,1,1],[1,1,4,3,2,1,1,
1,1],[1,1,4,3,2,1,1,1,1],[1,1,4,2,1,2,1,1,1,1],[1,1,4,3,2,1,1,1,1],[1,1,4,3,2,
1,1,1,1],[1,1,4,3,2,1,1,1,1],[1,1,4,3,2,1,1,1,1],[1,1,4,2,1,2,1,1,1,1],[1,1,4,
3,2,1,1,1,1],[1,1,4,3,2,1,1,1,1],[1,1,4,3,2,1,1,1,1],[1,1,4,3,2,1,1,1,1],[1,1,
5,1,1,1,1],[1,1,2,3,1,1,1,1],[1,1,5,1,1,1,1],[1,1,2,1,1,1,1,1,1,1],[1,1,2,2,1,
1,2,1],[1,1,2,2,1,1,2,1],[1,1,2,2,1,1,2,1],[1,1,2,2,1,1,2,1],[1,1,2,1,1,1,1,2,
1],[1,1,2,2,1,1,1,1,1],[1,3,1,1,1,1,2,1],[1,3,1,1,1,1,2,1],[1,1,2,2,1,1,1,1,
1],[1,1,2,2,1,1,1,1,1],[1,1,2,1,1,1,1,1,1,1],[1,1,2,1,1,1,1,1,1,1],[1,3,1,1,1,
1,1,1,1],[1,1,2,2,1,1,1,1,1],[1,3,1,1,1,1,2,1],[1,1,2,1,1,1,1,2,1],[1,3,1,1,1,
1,2,1],[1,1,6,4,3,4,1,2,1],[1,1,2,4,4,1,2,4,1,2,1],[1,1,2,4,2,2,1,2,4,1,1,1,
1],[1,1,2,4,2,2,1,2,4,1,1,1,1],[1,1,6,2,2,3,4,1,1,1,1],[1,1,4,4,1,2,2,1,1,1,
1],[1,1,4,4,1,2,2,1,1,1,1],[1,1,4,4,1,2,2,1,1,1,1],[1,1,8,1,4,1,1,1,1],[1,1,8,
1,4,1,1,1,1],[1,1,8,1,4,1,1,1,1],[1,1,8,1,4,1,1,1,1],[1,5,4,1,2,2,1,1,1,1],[1,
1,8,1,2,2,1,1,1,1],[1,1,8,1,2,2,1,1,1,1],[1,5,4,1,2,2,1,1,1,1],[1,1,8,1,2,2,1,
1,1,1],[1,1,8,1,2,2,1,1,1,1],[1,1,2,2,2,2,1,1],[1,1,1,2,1,1,2,1,1,1],[1,1,1,3,
1,3,1,1],[1,1,1,2,1,1,1,1,1,1,1],[1,9,2,2,6,6,1,1],[1,9,1,2,1,3,6,3,1,1],[1,9,
2,2,6,6,1,1],[1,9,1,2,1,3,6,3,1,1],[1,9,1,3,3,9,1,1],[1,9,1,3,3,9,1,1],[1,9,1,
2,1,3,3,3,3,1,1],[1,3,1,2,1,3,1,1,1],[1,3,2,2,3,1,1,1],[1,3,1,3,3,1,1,1],[1,3,
1,3,3,1,1,1],[1,3,1,3,3,1,1,1],[1,3,1,2,1,3,1,1,1],[1,3,2,2,3,1,1,1],[1,3,1,3,
3,1,1,1],[1,9,1,3,1,1],[1,9,1,3,1,1],[1,1,1,1,1,1],[1,1,5,1,1,1],[1,1,10,5,1,
1,2,1],[1,1,1,1,1,1],[1,7,1,1],[1,1,4,3,4,1,1],[1,1,4,3,4,1,1],[1,1,4,3,4,1,
1],[1,1,4,3,4,1,1],[1,1,4,3,4,1,1],[1,1,4,3,4,1,1],[1,1,4,3,4,1,1],[1,1,4,3,4,
1,1],[1,1,4,3,4,1,1],[1,1,4,3,4,1,1],[1,1,2,6,1,3,1,3,1,2,2,3,1,1,1,1],[1,1,2,
6,1,3,1,3,1,2,2,3,1,1,1,1],[1,1,8,1,3,4,1,2,2,3,1,1,1,1],[1,1,8,1,3,4,1,2,2,3,
1,1,1,1],[1,1,1,3,1,1,3,1],[1,1,1,3,1,1,3,1],[1,1,1,2,1,1,1,2,1,1],[1,1,1,3,1,
1,3,1],[1,1,1,2,1,1,1,1,2,1],[1,1,1,4,3,1,3,1,1,1,1],[1,1,1,7,1,3,2,1,1],[1,1,
1,1,1,1,1,1],[1,1,1,1,1,1,1,1],[1,1,12,1,1,6,1,4,3,1,2,1],[1,1,12,1,1,6,1,2,2,
3,1,1,1,1],[1,1,12,1,1,6,1,4,3,1,2,1],[1,1,12,1,1,6,1,4,3,1,2,1],[1,1,6,6,1,1,
3,3,1,2,2,3,1,1,1,1],[1,1,12,1,1,6,1,4,3,1,2,1],[1,1,12,1,1,6,1,4,3,1,2,1],[1,
1,12,1,1,6,1,2,2,3,1,1,1,1],[1,1,6,4,3,4,4,1,1,1],[1,7,4,7,4,1,1,1],[1,1,6,4,
3,4,4,1,1,1],[1,3,4,4,1,6,4,1,1,1],[1,7,4,7,4,1,1,1],[1,1,6,4,3,4,4,1,1,1],[1,
1,2,1,1,1,1,1,2,1,1,1,1,1],[1,1,2,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,4,1,1,2,1,4,1,
1,2,1],[1,1,2,2,1,1,1,1,1,2,2,1,1,1,1,1],[1,1,1,1,1,3,1,1],[1,1,1,1,1,3,1,1],[
1,1,1,1,1,3,1,1],[1,1,1,1,1,3,1,1],[1,3,6,4,3,1,3,4,3,1,1],[1,3,6,4,3,1,3,4,3,
1,1],[1,9,4,3,4,4,3,1,1],[1,3,6,4,3,1,3,4,3,1,1],[1,1,6,1,3,1,3,1,2,3,1,1,1,
1],[1,1,6,1,4,3,1,2,3,1,1,1,1],[1,1,6,1,1,3,3,1,2,3,1,1,1,1],[1,1,6,1,1,3,3,1,
1,1,3,1,1,1,1],[1,1,2,12,1,1,6,12,1,2,2,2,3,1,1,4,1,1],[1,1,2,12,1,1,6,12,1,2,
2,1,1,3,1,1,2,2,1,1],[1,1,6,8,1,3,4,12,1,2,2,1,1,3,1,1,2,2,1,1],[1,1,2,12,1,1,
6,12,1,1,1,2,2,3,2,1,1,2,1,1],[1,1,12,4,1],[1,3,4,6,3,6,4,1],[1,1,3,1,3,1],[1,
1,14,7,1,1,1,1,1],[1,1,1,1,1,1,1,1],[1,15,1,1,5,3,1,1],[1,1,10,10,5,10,15,10,
5,10,1],[1,1,2,8,4,6,1,4,6,4,3,12,4,6,1,4,4,6,1],[1,1,2,8,10,1,4,2,8,3,12,4,2,
4,1,4,4,2,4,1],[1,1,2,8,4,6,1,4,1,6,3,3,3,9,1,3,3,3,1,1,3,1,3,3,3,1],[1,1,18,
6,9,24,2,6,9,18,6,9,1],[1,1,6,12,2,4,3,6,24,1,1,6,3,6,6,3,6,3,1,2,3,3,6,1],[1,
1,6,12,6,3,6,24,1,1,6,3,6,6,3,6,3,1,2,3,3,6,1],[1,1,6,12,2,4,3,6,24,1,1,6,3,3,
3,3,3,3,6,3,1,1,1,3,3,3,3,1],[1,1,6,12,6,3,4,6,12,8,1,1,1,3,2,3,6,12,3,3,3,3,
3,6,1],[1,1,6,12,2,4,3,4,6,12,8,1,1,1,3,2,2,1,2,4,4,8,2,1,3,1,2,1,2,2,1,2,4,
1],[1,1,2,16,6,1,8,8,16,2,2,4,1,8,4,4,10,4,2,1,4,4,1],[1,1,2,16,2,4,1,8,8,16,
1,1,2,4,1,2,6,2,2,4,2,8,2,2,1,1,1,2,2,4,1],[1,1,2,16,2,4,1,8,8,16,1,1,2,4,1,3,
5,1,3,5,4,5,1,2,1,1,1,1,3,1,2,2,1],[1,7,12,2,1,3,3,18,12,1,1,3,3,3,6,3,6,3,6,
1,3,2,3,6,1],[1,7,12,3,3,7,6,8,12,1,1,1,2,3,3,6,3,6,3,6,3,3,3,6,1],[1,7,12,3,
3,3,18,12,1,1,3,3,3,6,3,6,3,6,1,3,2,3,6,1],[1,7,12,2,1,3,3,18,12,1,1,3,3,3,3,
3,3,3,3,3,6,1,1,1,3,3,3,3,1],[1,7,12,2,1,3,7,6,8,12,1,1,1,2,3,2,1,4,2,1,2,4,2,
3,6,1,2,2,1,2,4,1,2,1],[1,1,14,1,7,7,12,4,3,7,9,12,1,3,4,4,3,1],[1,1,14,1,1,6,
7,12,4,3,1,3,6,6,12,1,3,4,4,3,1],[1,1,2,12,1,7,1,6,12,4,3,1,3,6,6,12,1,3,4,4,
3,1],[1,1,6,8,3,5,3,4,4,8,1,3,1,2,5,3,4,4,4,4,2,2,1,1,2,2,2,4,1,2,1],[1,1,6,8,
1,7,3,4,4,8,4,1,2,3,5,4,4,8,4,1,1,2,4,4,1,2,1],[1,1,2,12,1,1,6,1,6,12,4,3,1,3,
6,6,12,1,3,4,4,3,1],[1,1,6,8,1,1,6,3,4,4,8,4,1,2,1,3,2,2,4,4,4,8,1,2,1,4,4,1,
2,1],[1,1,2,12,1,7,1,6,4,8,1,3,1,2,1,1,8,6,4,3,5,1,1,2,1,1,2,1,1,2,1,2,1],[1,
1,2,12,3,5,1,6,4,8,3,1,1,2,1,1,6,8,2,2,4,1,3,1,1,2,3,1,1,2,1,1,2,1],[1,1,6,8,
3,3,2,3,4,4,8,1,3,1,2,3,1,2,2,4,4,2,2,4,4,1,2,1,2,2,4,1,2,1],[1,1,14,8,1,3,7,
28,4,24,7,8,6,8,3,3,4,12,1,1,1,6,6,1],[1,1,6,16,1,3,3,4,8,32,16,1,8,8,4,8,1,1,
2,2,2,6,2,2,4,1,1,1,1,1,1,1,4,4,1],[1,1,6,16,1,3,3,4,8,16,32,1,4,8,8,8,3,3,4,
4,8,2,1,2,2,4,4,1],[1,1,10,12,1,3,5,8,6,12,32,2,3,8,8,8,1,1,2,2,4,4,4,4,2,1,1,
2,1,4,4,1],[1,1,6,16,1,1,2,3,4,8,32,16,1,8,8,4,4,4,1,1,2,2,4,4,8,1,1,1,2,2,4,
4,1],[1,1,14,8,1,1,2,7,28,4,8,16,7,8,2,4,4,4,1,1,2,2,4,4,8,1,1,1,2,2,4,4,1],[
1,1,2,20,1,3,1,10,12,40,3,10,8,8,3,3,1,3,3,3,6,1,1,1,3,3,3,3,1],[1,1,6,16,1,1,
2,3,4,8,16,16,16,1,4,4,8,4,4,4,1,1,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,4,4,1],[1,1,
10,12,1,1,2,5,8,6,28,16,2,7,8,4,4,4,1,1,2,2,4,4,4,4,1,1,1,1,1,2,4,4,1],[1,1,6,
16,1,1,2,3,4,8,16,32,1,4,8,8,8,1,1,2,2,4,4,4,4,2,1,2,2,2,2,2,2,1],[1,1,2,1,1,
3,3,6,1,1,3,1,3,3,1,3,3,1],[1,1,2,6,4,4,1,1,3,3,4,1,3,3,1],[1,1,2,3,3,1,1,6,1,
1,3,3,1,3,1,3,3,1],[1,1,2,6,1,4,3,4,1,2,1],[1,1,2,6,1,4,3,4,1,2,1],[1,1,2,6,1,
4,3,4,1,2,1],[1,1,2,6,1,4,3,4,1,2,1],[1,1,2,8,6,4,1,4,8,4,2,3,2,4,1,1,1,4,1],[
1,1,2,8,6,4,1,4,8,4,2,3,2,4,1,1,1,2,2,1],[1,1,2,8,2,8,1,4,8,4,2,1,4,4,1,1,1,2,
2,1],[1,1,2,8,2,8,1,4,8,4,2,1,4,4,1,1,1,2,1,1,1],[1,1,6,4,6,4,3,4,2,4,4,1,1,3,
2,4,1,1,1,2,2,1],[1,1,10,6,4,5,8,4,2,3,2,4,1,1,1,4,1],[1,1,10,2,8,5,8,4,2,1,4,
4,1,1,1,2,2,1],[1,1,6,4,2,8,3,4,2,4,4,1,1,1,4,4,1,1,1,1,1,1,1,1],[1,1,2,10,2,
2,1,4,4,5,2,1,1,1,4,1],[1,1,2,1,1,1,1,10,1,4,4,1,1,5,1,1,2,2,1,1],[1,1,6,1,3,
2,2,4,3,4,1,3,3,2,2,4,4,1,2,1,1,2,1],[1,1,6,3,3,6,3,4,1,3,3,6,6,3,1,3,1],[1,1,
2,4,1,3,2,2,4,1,2,4,1,1,1,2,2,2,2,4,4,1,2,1,1,2,1],[1,1,10,8,2,2,2,5,8,4,8,2,
2,1,2,4,4,8,8,1,1,1,4,1],[1,1,6,12,2,4,3,4,6,12,1,3,1,2,4,4,8,8,1,1,1,2,2,1],[
1,1,2,16,2,2,2,1,8,16,4,1,2,4,4,8,8,1,2,4,1],[1,1,2,16,2,4,1,8,16,4,1,2,4,4,8,
8,1,2,4,1],[1,1,14,4,2,4,7,12,2,4,3,1,1,2,4,4,8,8,1,1,1,2,2,1],[1,1,6,12,2,2,
2,3,4,6,12,1,3,1,2,4,4,4,4,4,4,1,1,1,2,2,1],[1,1,2,16,2,4,1,8,16,4,1,2,4,4,8,
8,1,1,1,2,2,1],[1,1,10,8,1,1,1,1,2,5,8,4,8,2,2,1,1,1,4,4,4,4,4,4,1,2,1,1,2,
1],[1,7,12,3,3,7,6,12,1,3,3,6,6,6,6,1,3,3,1],[1,3,16,3,3,1,12,12,1,3,3,6,6,6,
6,1,3,3,1],[1,1,6,12,1,1,1,1,2,3,4,6,12,1,3,1,1,1,2,2,2,2,2,2,2,2,4,4,1,1,1,1,
1,1,1,1],[1,1,2,16,1,1,1,1,2,1,8,16,4,1,1,1,4,4,4,4,4,4,1,2,2,2,1],[1,3,16,2,
1,3,1,12,12,1,3,2,1,2,4,6,4,4,2,2,1,2,2,1,1,1],[1,7,12,2,1,3,7,6,12,1,3,2,1,4,
2,2,6,4,2,4,1,1,2,2,1,1],[1,1,6,1,3,8,3,4,1,3,3,4,1,2,2,2,1],[1,1,2,4,1,3,8,1,
2,4,1,1,1,4,2,2,1,1,1,2,2,1],[1,1,6,4,1,1,6,3,4,1,2,1,3,2,2,1,2,1,1,2,1],[1,1,
2,4,4,1,1,6,1,2,4,1,2,1,3,2,2,1,1,1,1,1,1,1,1],[1,1,6,4,3,1,3,3,1,3,1,3,3,1],[
1,1,6,4,3,1,3,1,3,3,1,3,3,1],[1,1,2,4,2,2,1,2,1,1,2,1,1,2,2,1,1,1,1,2,2,1],[1,
1,2,4,4,1,2,1,1,2,1,1,2,2,1,1,1,1,2,2,1],[1,1,2,4,2,2,1,2,1,1,1,1,1,1,2,1,1,1,
1,1,1,1,1,1,1,1],[1,1,6,3,5,3,1,3,1,5,1,1,3,1,1,1,1,1,1,1,1],[1,1,6,8,3,1,4,5,
2,3,1,1,2,2,1,1],[1,1,2,4,2,6,1,2,1,4,3,2,2,2,1,1,1,2,2,1,1],[1,1,2,4,8,1,2,1,
4,3,2,2,2,1,1,1,2,2,1,1],[1,1,2,4,8,1,2,4,1,3,2,2,2,1,1,1,2,2,1,1],[1,1,6,3,5,
3,3,1,1,5,1,1,3,1,1,1,1,1,1,1,1],[1,1,6,8,3,1,1,3,5,1,1,3,1,1,1,1,1,1,1,1],[1,
1,6,1,3,3,4,1,3,3,4,1,2,2,2,1],[1,1,6,1,3,3,4,1,3,3,2,2,1,2,1,1,2,1],[1,1,6,1,
1,2,3,4,1,1,1,2,2,4,1,2,2,2,1],[1,1,6,1,1,2,3,4,1,1,1,2,2,2,2,1,1,1,2,2,1],[1,
1,2,4,1,3,1,2,4,1,1,1,2,2,2,2,1,1,1,2,2,1],[1,1,2,4,1,3,1,2,4,1,1,1,2,2,2,2,1,
1,1,2,2,1],[1,1,2,4,2,2,4,1,2,1,1,2,2,2,2,1,1,1,1,1],[1,1,2,4,4,4,1,2,1,1,2,2,
2,2,1,1,1,1,1],[1,1,2,4,4,4,1,2,1,1,2,2,2,2,1,1,1,1,1],[1,1,2,4,4,4,1,2,1,1,2,
2,2,2,1,1,1,1,1],[1,1,2,4,4,4,1,2,1,1,2,2,2,2,1,1,1,1,1],[1,1,2,4,4,4,1,2,1,1,
2,2,2,2,1,1,1,1,1],[1,1,2,4,2,2,4,1,2,1,1,2,2,2,2,1,1,1,1,1],[1,1,2,4,2,2,2,2,
1,2,1,1,2,2,2,2,1,1,1,1,1],[1,1,2,4,4,2,2,1,2,1,1,2,2,2,2,1,1,1,1,1],[1,1,2,4,
4,2,2,1,2,1,1,2,2,2,2,1,1,1,1,1],[1,1,6,4,4,3,1,3,2,2,3,1,1,1,1],[1,3,4,4,1,3,
1,2,1,2,1,2,2,1,2,1,1,1,1],[1,3,4,2,3,3,1,2,1,2,1,2,2,1,2,1,1,1,1],[1,1,6,4,2,
2,3,1,3,2,2,3,1,1,1,1],[1,3,4,2,3,3,1,2,1,3,2,2,1,2,1,1,1,1],[1,3,4,5,3,1,2,1,
3,2,2,1,2,1,1,1,1],[1,3,4,3,5,1,2,1,3,2,2,1,2,1,1,1,1],[1,7,3,5,3,1,5,2,3,1,1,
1,1],[1,7,2,1,5,3,1,2,3,2,3,1,1,1,1],[1,3,4,2,1,5,1,2,1,2,1,2,2,1,2,1,1,1,1],[
1,1,2,2,2,2,1,1,2,2,2,1,2,1],[1,1,2,2,4,1,1,2,2,2,1,2,1],[1,1,2,1,1,1,1,2,1,1,
1,1,4,1,2,1],[1,1,2,1,1,1,1,2,1,1,1,1,2,2,1,2,1],[1,1,2,2,2,2,1,1,2,4,1,2,1],[
1,1,2,2,4,1,1,2,2,2,1,2,1],[1,1,2,1,1,1,1,2,1,1,1,1,4,1,2,1],[1,1,2,8,2,1,4,8,
2,1,4,4,1,2,1],[1,1,2,8,2,1,4,8,2,1,2,2,4,1,1,1,1],[1,1,2,8,2,1,4,8,2,1,2,2,2,
2,1,1,1,1],[1,1,2,8,2,1,4,8,2,1,2,2,2,2,1,1,1,1],[1,1,10,2,5,8,2,1,4,4,1,2,
1],[1,1,6,4,2,3,4,2,4,1,1,1,2,2,4,1,1,1,1],[1,1,6,4,2,3,4,2,4,1,1,1,2,2,4,1,1,
1,1],[1,7,4,1,1,7,2,4,1,1,1,2,2,2,2,1,1,1,1],[1,3,8,1,1,1,8,4,1,1,1,2,2,2,2,1,
1,1,1],[1,7,4,1,1,7,2,4,1,1,1,2,2,2,2,1,1,1,1],[1,3,8,1,1,1,8,4,1,1,1,2,2,2,2,
1,1,1,1],[1,1,18,2,4,9,32,8,8,1,2,4,8,1,1,2,1,2,1],[1,1,10,8,2,4,5,8,4,24,2,6,
8,1,2,4,8,1,1,2,1,2,1],[1,1,10,8,2,4,5,8,4,8,16,2,2,4,4,4,1,2,4,4,4,1,1,1,1,1,
1,1,1],[1,1,6,12,2,4,3,4,6,12,16,1,3,4,4,4,1,2,4,4,4,1,1,1,1,1,1,1,1],[1,1,6,
12,2,4,3,4,6,28,1,7,8,1,2,4,4,4,1,1,1,1,1,1,1,1],[1,1,6,12,2,4,3,4,6,12,16,1,
3,4,4,4,1,2,4,4,4,1,1,1,1,1,1,1,1],[1,1,2,16,2,4,1,8,16,16,4,4,8,1,2,4,8,1,1,
2,1,1,1,1],[1,1,2,8,2,2,2,4,1,4,8,2,1,2,2,4,4,2,2,2,1,1,1,2,1],[1,1,2,8,1,5,1,
1,2,1,4,8,2,1,2,1,1,4,4,2,2,2,1,1,1,2,1],[1,1,2,8,1,1,1,1,6,1,4,8,2,1,1,3,4,4,
2,2,2,1,1,1,2,1],[1,1,6,4,2,2,2,4,3,4,2,4,1,1,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,
1],[1,1,6,4,1,1,1,1,6,3,4,2,4,1,1,1,1,3,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,4,
1,5,1,1,2,3,4,2,4,1,1,3,4,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,10,4,2,2,5,8,2,1,
2,1,2,2,2,1,4,1,1,2,1,2,1],[1,1,10,4,4,5,8,2,1,2,1,2,2,2,1,4,1,1,2,1,2,1],[1,
1,10,4,4,5,8,2,1,2,1,2,2,2,1,4,1,1,2,1,2,1],[1,1,2,12,4,1,6,8,1,2,1,2,2,2,1,4,
1,1,2,1,2,1],[1,1,2,12,4,1,6,8,1,2,1,2,2,2,1,4,1,1,2,1,2,1],[1,1,2,12,4,1,6,8,
1,2,1,2,2,2,1,4,1,1,2,1,2,1],[1,1,2,12,2,2,1,6,8,1,2,1,2,2,2,1,4,1,1,2,1,2,
1],[1,1,2,12,4,1,6,8,1,2,1,2,2,2,3,2,1,1,2,1,2,1],[1,1,2,12,2,2,1,6,8,1,2,1,2,
2,2,3,2,1,1,2,1,2,1],[1,1,2,12,1,3,1,6,8,1,2,1,2,1,1,2,2,1,2,1,1,1,1,1,1,1,
1],[1,1,6,8,4,3,4,8,1,2,3,2,2,2,3,1,1,2,1,2,1],[1,1,6,8,4,3,4,8,1,2,3,2,2,2,3,
1,1,2,1,2,1],[1,1,6,8,1,3,3,4,8,1,2,3,1,1,2,2,3,1,1,1,1,1,1,1,1],[1,1,6,8,4,3,
4,8,1,2,3,2,4,3,1,1,2,1,2,1],[1,1,14,4,7,8,1,2,3,1,1,1,3,3,1,1,1,1,1,1,1,1],[
1,1,14,1,3,7,8,1,2,3,1,1,2,1,1,3,1,1,1,1,1,1,1,1],[1,7,8,1,3,3,4,8,1,2,3,2,3,
2,2,1,1,2,1,2,1],[1,7,8,1,3,3,4,8,1,2,3,2,3,2,2,1,1,2,1,2,1],[1,1,4,10,2,2,2,
5,8,1,2,1,2,1,1,2,2,1,1,1,1,1,1,1,1,1,1,1],[1,1,4,10,4,2,5,8,1,2,3,1,1,2,1,2,
1,1,1,1,1,1,1,1,1,1],[1,1,4,10,1,3,2,5,8,1,2,3,1,1,2,3,1,1,1,1,1,1,1,1,1,1],[
1,1,4,10,1,3,2,5,8,1,2,3,1,1,2,3,1,1,1,1,1,1,1,1,1,1],[1,3,12,3,1,1,6,8,1,2,1,
2,2,1,2,2,2,1,1,2,1,2,1],[1,3,12,2,1,1,1,6,8,1,2,1,2,2,1,2,2,2,1,1,2,1,2,1],[
1,3,12,2,1,1,1,6,8,1,2,1,2,2,1,2,2,2,1,1,2,1,2,1],[1,3,12,3,1,1,6,8,1,2,1,2,2,
1,2,2,2,1,1,2,1,2,1],[1,3,12,1,3,1,6,8,1,2,1,2,2,1,2,2,2,1,1,2,1,2,1],[1,3,12,
1,3,1,6,8,1,2,1,2,2,1,2,2,2,1,1,2,1,2,1],[1,3,12,1,3,1,6,8,1,2,1,2,1,1,1,2,2,
2,1,1,1,1,1,1,1,1],[1,7,8,1,3,3,4,8,1,2,3,1,1,3,2,2,1,1,1,1,1,1,1,1],[1,1,2,8,
3,3,1,4,8,1,3,2,3,2,2,2,1,1,2,2,1,1],[1,1,2,8,6,1,4,8,4,2,3,1,1,2,2,1,1,2,2,1,
1],[1,1,2,8,6,1,4,8,4,2,3,1,1,2,2,1,1,2,2,1,1],[1,1,2,8,6,1,4,8,4,2,3,1,1,2,2,
1,1,2,2,1,1],[1,1,4,6,6,2,3,8,1,3,2,3,1,1,2,1,1,1,1,1,1,1,1,1,1],[1,1,4,6,3,3,
2,3,8,3,1,2,3,1,1,2,1,1,1,1,1,1,1,1,1,1],[1,1,2,8,6,1,4,8,4,2,3,1,1,2,2,1,1,2,
2,1,1],[1,1,2,8,3,3,1,4,8,1,3,2,3,2,2,2,1,1,2,2,1,1],[1,1,2,12,4,1,1,2,1,6,12,
3,2,1,1,2,2,4,4,2,2,1,1,1,1,1,1,1,1],[1,1,6,8,1,3,4,3,4,4,8,1,2,1,1,2,2,2,2,2,
4,4,1,1,1,1,1,1,1,1],[1,1,2,12,1,1,6,1,6,12,3,1,3,2,2,2,2,4,4,1,1,1,1,1,2,1],[
1,1,10,4,1,3,4,5,8,2,4,2,1,3,3,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,6,8,4,1,1,2,3,
4,4,8,1,2,2,1,1,2,2,4,4,2,2,1,1,1,1,1,1,1,1],[1,1,2,12,1,3,4,1,6,12,3,1,1,2,2,
2,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,6,8,1,1,6,3,4,4,8,1,2,1,3,2,2,2,2,4,4,1,1,1,1,
1,1,1,1],[1,1,10,4,1,1,6,5,8,2,4,2,1,1,3,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,10,
4,4,1,1,2,5,8,2,4,2,1,2,1,1,2,2,4,4,2,2,1,1,1,1,1,1,1,1],[1,1,2,16,2,1,8,8,8,
2,2,1,1,1,2,4,2,1,1,1,2,2,1],[1,1,2,16,1,1,1,8,8,8,2,2,1,2,4,2,2,1,1,1,2,2,
1],[1,1,10,8,2,5,8,4,8,2,2,1,1,1,2,2,4,1,1,1,2,2,1],[1,1,10,8,2,5,8,4,8,2,2,1,
1,1,4,2,2,1,1,1,2,2,1],[1,1,4,14,1,1,2,7,8,8,2,2,1,1,1,2,2,1,1,1,1,1,1,1,1,1,
1,1,1],[1,1,4,14,2,2,7,8,8,2,2,1,1,1,2,1,3,1,1,1,1,1,1,1,1,1,1],[1,1,2,16,2,1,
8,8,8,2,2,1,1,1,4,2,2,1,1,1,2,2,1],[1,1,2,16,1,1,1,8,8,8,2,2,1,2,2,2,2,2,1,1,
1,2,2,1],[1,1,10,2,8,5,8,2,1,4,4,1,2,1],[1,1,2,2,1,1,1,3,2,1,1,1,1],[1,1,2,2,
1,1,3,1,2,1,1,1,1],[1,1,6,4,2,4,3,2,1,1,3,2,1,1,2,1,3,1,1,1,1,1,1,1,1],[1,1,6,
4,6,3,2,1,1,3,2,1,1,2,1,3,1,1,1,1,1,1,1,1],[1,1,6,4,1,5,3,2,1,1,3,2,2,2,1,3,1,
1,1,1,1,1,1,1],[1,1,10,6,5,1,1,5,1,1,1,2,3,1,1,1,1,1,1,1,1],[1,1,10,1,5,5,1,1,
5,1,1,3,3,1,1,1,1,1,1,1,1],[1,1,10,2,4,5,1,1,3,2,1,1,2,1,3,1,1,1,1,1,1,1,1],[
1,1,10,1,5,5,1,1,5,1,1,3,3,1,1,1,1,1,1,1,1],[1,1,2,8,1,1,4,1,4,8,2,1,2,2,2,2,
1,1,1,1],[1,1,2,8,4,1,1,1,4,8,2,2,1,2,2,2,1,1,1,1],[1,1,2,8,1,1,4,1,4,8,2,1,2,
2,2,2,1,1,1,1],[1,1,2,2,9,2,2,1,6,6,1,1],[1,1,2,2,3,2,2,1,1,3,1,1],[1,1,2,2,3,
2,2,1,1,3,1,1],[1,1,1,2,1,3,1,2,1,1,1,3,1,1],[1,1,1,2,1,3,1,2,1,1,1,3,1,1],[1,
1,6,1,2,1,3,1,2,1,6,2,1,1,3,1,2,1],[1,1,6,2,2,3,2,2,6,2,1,1,3,1,2,1],[1,1,6,1,
3,3,1,3,3,3,2,1,1,3,1,1,1,1],[1,1,6,2,2,3,2,2,6,2,1,1,3,1,2,1],[1,1,6,1,2,1,3,
1,2,1,6,2,1,1,3,1,2,1],[1,1,6,1,3,3,1,3,6,1,1,1,1,3,1,1,1,1],[1,1,18,1,2,1,9,
1,2,1,6,6,6,6,1,3,3,6,1,2,1],[1,1,18,2,2,9,2,2,12,6,6,1,6,6,1,1,1,1],[1,1,18,
1,2,1,9,1,2,1,6,6,6,3,3,1,3,6,3,1,1,1,1],[1,1,18,1,3,9,1,3,3,3,9,9,1,3,9,1,1,
1,1],[1,1,18,1,2,1,9,1,1,1,1,3,3,3,9,3,3,1,3,3,3,3,1,1,1,1],[1,1,18,1,2,1,9,1,
1,1,1,3,3,9,3,3,3,1,3,3,3,3,1,1,1,1],[1,1,2,2,1,2,2,1,2,2,1,1],[1,1,2,1,2,1,1,
1,2,1,2,2,2,2,1,1,2,1,1,2,1],[1,1,18,1,9,1,3,3,1,3,1,1,1,1],[1,3,12,1,3,9,3,3,
1,4,9,1,3,3,1,1,1,1],[1,3,12,1,3,9,3,3,1,3,1,9,1,3,3,1,1,1,1],[1,3,12,1,2,1,9,
3,3,1,3,1,6,3,1,3,3,1,1,1,1],[1,3,12,2,2,9,3,3,6,1,1,6,1,3,3,1,1,1,1],[1,3,12,
1,2,1,9,3,3,1,3,1,6,3,1,3,3,1,1,1,1],[1,3,12,2,2,9,3,3,6,1,1,6,1,3,3,1,1,1,
1],[1,3,12,1,3,9,3,3,1,4,9,1,3,3,1,1,1,1],[1,3,12,1,3,9,3,3,1,1,3,9,1,3,3,1,1,
1,1],[1,1,5,1,5,1,1,1],[1,1,5,1,5,1,1,1],[1,1,10,1,5,5,1,5,1,2,1,1,1,1],[1,7,
7,7,1,1,1,1],[1,7,7,7,1,1,1,1],[1,1,7,7,1,1,1,1],[1,1,6,4,1,3,3,4,1,3,3,4,1,1,
1],[1,1,6,4,4,3,4,1,3,3,4,1,1,1],[1,1,6,4,1,3,3,4,1,3,3,4,1,1,1],[1,1,6,4,4,3,
4,1,3,3,4,1,1,1],[1,7,4,1,3,3,4,1,3,3,4,1,1,1],[1,7,4,1,3,3,4,1,3,3,4,1,1,1],[
1,1,6,4,1,3,3,4,1,3,3,4,1,1,1],[1,1,6,4,1,3,3,4,1,3,3,4,1,1,1],[1,1,6,4,1,3,3,
4,1,3,3,4,1,1,1],[1,1,6,4,1,3,3,4,1,3,3,4,1,1,1],[1,1,6,4,1,3,3,4,1,3,3,4,1,1,
1],[1,1,4,9,4,3,1,3,4,3,1,1],[1,1,4,6,3,4,3,1,3,4,3,1,1],[1,1,4,9,4,1,3,3,4,3,
1,1],[1,1,4,9,4,1,3,3,4,3,1,1],[1,1,4,9,4,3,1,3,4,3,1,1],[1,1,4,9,4,1,3,3,4,3,
1,1],[1,1,2,4,3,3,1,4,4,4,1,3,3,4,1,1,1],[1,1,2,4,3,3,1,4,4,4,1,3,3,4,1,1,1],[
1,1,2,4,6,1,4,8,4,3,4,1,1,1],[1,1,2,4,3,3,1,4,8,1,3,3,4,1,1,1],[1,1,2,4,6,1,4,
8,4,3,4,1,1,1],[1,1,2,4,3,3,1,4,8,1,3,3,4,1,1,1],[1,1,2,4,6,1,4,4,4,4,3,4,1,1,
1],[1,1,2,4,3,3,1,4,8,1,3,3,4,1,1,1],[1,1,2,4,6,1,4,8,1,3,3,4,1,1,1],[1,1,2,4,
3,3,1,4,8,3,1,3,4,1,1,1],[1,1,2,4,6,1,4,8,4,3,4,1,1,1],[1,1,12,4,3,6,4,8,1,3,
3,4,3,1,1],[1,1,12,4,3,6,4,8,1,3,3,4,3,1,1],[1,1,12,4,3,6,4,8,1,3,3,4,3,1,1],[
1,1,12,4,3,6,4,8,1,3,3,4,3,1,1],[1,1,12,4,3,6,4,8,1,3,3,4,3,1,1],[1,1,12,4,3,
6,4,8,1,3,3,4,3,1,1],[1,1,12,4,3,6,4,8,1,3,3,4,3,1,1],[1,1,12,4,3,6,4,4,4,1,3,
3,4,3,1,1],[1,1,12,4,3,6,4,4,4,1,3,3,4,3,1,1],[1,1,12,4,3,6,4,4,4,1,3,3,4,3,1,
1],[1,1,12,4,3,6,4,8,1,3,3,4,3,1,1],[1,1,12,4,3,6,4,8,1,3,3,4,3,1,1],[1,1,12,
4,3,6,4,4,4,1,3,3,4,3,1,1],[1,1,12,4,3,6,4,4,4,1,3,3,4,3,1,1],[1,1,12,4,3,6,4,
4,4,1,3,3,4,3,1,1],[1,1,12,4,3,6,4,4,4,1,3,3,4,3,1,1],[1,1,12,4,3,6,4,4,4,1,3,
3,4,3,1,1],[1,1,12,4,3,6,4,4,4,1,3,3,4,3,1,1],[1,1,12,4,3,6,4,4,4,1,3,3,4,3,1,
1],[1,3,16,3,3,1,3,4,1,1],[1,1,18,1,3,3,9,1,6,1,9,9,1,3,3,3,1,3,3,1],[1,1,18,
1,6,9,1,6,1,9,9,1,3,3,3,1,3,3,1],[1,1,18,1,3,3,9,1,6,1,9,9,1,3,3,3,1,3,3,1],[
1,1,18,1,2,4,9,1,2,4,1,3,6,6,3,1,2,1,1,2,3,1,2,1,1,2,1],[1,1,2,1,3,3,1,1,2,1,
3,3,3,3,1,1,1,3,3,1],[1,1,2,1,3,3,1,1,1,1,1,3,3,3,3,1,1,1,3,3,1],[1,1,6,1,1,3,
3,1,6,1,3,3,1,3,3,1,1,3,3,1],[1,1,6,1,12,3,1,2,1,9,9,3,3,1,3,1,3,3,1],[1,1,6,
1,5,7,3,1,2,7,3,9,1,2,2,1,1,3,1,2,1,1,2,1],[1,1,14,4,7,28,4,8,7,8,4,1,1,1,2,
1],[1,1,6,8,4,3,4,4,24,4,8,1,6,8,4,1,1,1,2,1],[1,1,14,4,7,28,4,8,7,8,4,1,1,1,
2,1],[1,1,2,12,4,1,6,12,16,4,8,3,4,8,4,1,1,1,2,1],[1,1,2,1,1,1,1,1,2,1,1,1,1,
1,1,1,1,1,1,1],[1,1,4,18,1,3,1,2,9,24,1,4,4,2,6,3,6,3,1,1,1,2,1,8,2,3,2,1,1,1,
2,1],[1,1,4,18,1,4,2,9,24,1,4,2,4,6,3,6,3,1,1,1,1,2,8,2,3,2,1,1,1,2,1],[1,1,8,
14,1,1,3,4,7,24,1,2,2,2,2,1,1,6,3,4,3,3,1,1,1,1,1,2,2,2,2,1,1,3,1,1,1,1,1,1,1,
1],[1,1,6,4,6,6,3,4,4,1,3,3,4,1,3,1,1],[1,1,6,12,4,3,3,3,4,6,12,4,4,4,1,3,3,6,
6,4,1,3,1,1,1,1],[1,7,12,4,3,3,7,6,12,4,4,4,1,3,3,6,6,4,1,3,1,1,1,1],[1,1,6,
12,4,6,3,4,6,12,4,8,1,3,3,12,4,1,3,1,2,1],[1,1,18,4,6,9,16,4,8,4,3,12,4,1,3,1,
2,1],[1,9,10,4,3,3,4,9,12,4,4,4,1,3,3,6,3,3,4,1,3,1,1,1,1],[1,7,12,4,3,3,7,6,
12,4,4,4,1,3,3,6,6,4,1,3,1,1,1,1],[1,9,10,4,3,3,4,9,12,4,4,4,1,3,3,6,3,3,4,1,
3,1,1,1,1],[1,1,1,9,1,1,3,3,2,3,3,1,1,1,1],[1,1,6,1,3,1,3,1,2,3,1,3,1,1,1,3,1,
1,1,1],[1,1,6,1,3,1,3,1,2,3,1,3,1,1,1,3,1,1,1,1],[1,1,6,1,4,3,1,2,3,1,3,1,1,1,
3,1,1,1,1],[1,1,6,1,4,3,1,2,3,1,3,1,1,1,3,1,1,1,1],[1,1,24,1,1,12,1,8,1,3,3,1,
4,3,1,1,1,1],[1,1,24,1,1,12,1,4,4,1,3,3,1,2,2,3,1,1,1,1],[1,1,2,12,1,4,4,1,6,
1,2,2,2,3,1,3,3,3,3,3,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,1,2,12,1,1,7,1,6,1,
2,4,3,1,6,6,3,2,1,1,2,1,3,2,1,1,1,2,1],[1,1,12,1,2,1,6,1,4,1,3,3,2,1,2,3,1,1,
1,1],[1,1,12,1,3,6,1,4,1,3,3,3,2,3,1,1,1,1],[1,1,12,1,2,1,6,1,4,1,3,3,2,1,2,3,
1,1,1,1],[1,1,12,1,3,6,1,4,1,3,3,3,2,3,1,1,1,1],[1,1,12,1,3,6,1,4,1,3,3,3,2,3,
1,1,1,1],[1,1,12,1,3,6,1,4,1,3,3,3,2,3,1,1,1,1],[1,1,12,1,3,6,1,4,1,3,3,3,2,3,
1,1,1,1],[1,1,12,1,2,1,6,1,4,1,3,3,1,2,2,3,1,1,1,1],[1,1,12,1,2,1,6,1,4,1,3,3,
1,2,2,3,1,1,1,1],[1,1,2,1,1,1,1,1,2,1,6,1,1,1,3,1,1,1,1],[1,1,2,1,1,1,1,1,1,1,
1,6,1,1,1,3,1,1,1,1],[1,1,12,1,7,6,1,4,3,1,3,2,1,2,3,1,1,1,1],[1,1,12,1,7,6,1,
4,3,1,3,2,1,2,3,1,1,1,1],[1,1,4,1,7,2,1,4,3,3,1,2,1,2,3,1,1,1,1],[1,1,6,4,1,3,
3,4,4,1,3,3,4,1,1,1,1],[1,1,6,4,1,3,3,4,4,1,3,3,4,1,1,1,1],[1,1,1,2,3,1,1,1,1,
2,3,1,1,1,1,1],[1,1,1,5,1,1,1,1,5,1,1,1,1,1],[1,1,4,1,3,2,1,4,1,1,1,3,2,1,1,1,
1,1],[1,1,4,1,2,1,2,1,4,1,1,1,2,1,2,1,1,1,1,1],[1,1,2,24,1,1,1,1,12,24,1,2,4,
4,6,1,6,6,1,1,2,2,8,1,3,1,2,1,1,2,1],[1,1,2,24,1,1,1,1,12,24,1,1,1,4,4,6,1,6,
6,1,1,4,2,2,4,1,3,1,1,2,1,2,1],[1,1,4,12,1,1,2,6,1,4,4,3,3,1,1,2,2,3,1,1,1,
1],[1,27,3,4,6,27,36,54,3,6,4,9,18,12,1,1],[1,27,3,4,6,27,36,54,3,6,4,9,18,12,
1,1],[1,9,1,12,9,12,4,12,1,1],[1,9,1,12,9,12,4,12,1,1],[1,1,3,4,6,3,4,6,3,6,4,
3,6,4,1,1],[1,1,1,12,1,12,4,4,1,1],[1,1,1,3,1,3,1,3,1,3,1,1],[1,9,3,4,6,9,3,3,
3,3,3,6,4,1,3,3,3,3,1,1],[1,3,3,4,6,3,3,3,3,1,3,6,4,3,1,1,1,1,1,1],[1,9,1,12,
9,3,9,4,1,3,1,1],[1,9,1,12,9,3,9,4,1,3,1,1],[1,9,1,3,9,3,1,3,3,1,1,1],[1,9,1,
3,9,3,1,3,3,1,1,1],[1,7,7,8,1,1],[1,7,7,8,1,1],[1,1,1,3,1,1,1,1,1,3,1,1],[1,
15,10,5,6,10,6,5,1],[1,1,1,5,1,1,1,5,1,1,1,1],[1,1,30,1,15,1,1,10,1,6,5,1,3,1,
2,1],[1,1,30,1,15,15,60,20,15,15,45,60,15,15,20,60,45,6,10,15,1],[1,1,6,24,1,
15,3,4,12,24,32,4,16,1,6,8,3,9,36,12,24,12,24,3,12,1,6,8,4,4,24,12,24,12,3,6,
12,24,6,4,6,3,12,1],[1,1,6,24,5,11,3,4,12,24,32,2,10,8,1,6,8,7,5,20,28,8,16,
12,8,16,2,1,4,8,1,6,8,4,4,16,8,4,8,16,8,12,1,2,4,2,8,4,8,16,1,1,4,4,2,4,2,1,4,
8,1],[1,1,2,18,6,6,1,12,12,2,6,9,6,3,3,2,9,18,6,9,1],[1,1,2,3,3,3,3,18,1,1,3,
1,3,12,12,3,3,9,1,1,3,3,9,9,9,3,3,9,1],[1,1,14,24,3,9,7,12,12,24,96,1,3,4,3,6,
24,24,24,9,9,12,12,12,12,6,6,24,12,6,1,1,3,6,4,4,8,8,6,6,12,3,6,6,3,12,12,24,
24,4,4,8,1,2,3,3,6,1],[1,1,14,24,3,3,6,7,12,12,72,48,1,3,4,3,18,24,12,12,12,3,
3,6,6,12,12,6,6,12,12,12,24,3,3,1,1,6,3,4,4,6,6,8,8,12,3,3,6,6,12,12,24,24,4,
4,8,1,2,3,3,6,1],[1,1,14,24,3,3,6,7,28,12,24,32,48,1,3,4,7,8,6,8,16,12,12,12,
3,3,6,6,12,12,6,6,12,12,12,24,1,2,3,1,1,6,3,6,6,12,12,12,3,3,6,6,12,24,12,24,
4,12,3,3,3,6,1],[1,1,6,32,3,9,3,4,16,48,80,1,3,4,1,12,8,20,16,24,3,3,18,18,6,
18,12,12,24,1,2,3,1,1,3,6,3,3,9,9,3,3,6,6,6,3,3,3,3,15,15,24,24,1,3,3,3,6,3,3,
3,6,1],[1,1,14,24,3,9,7,28,12,72,32,1,3,4,7,8,18,24,8,16,9,9,12,12,12,36,6,6,
12,1,3,2,1,1,3,6,6,6,12,12,12,3,3,18,18,24,24,4,12,3,3,3,6,1],[1,1,14,1,7,7,
12,4,3,7,9,4,4,12,1,3,4,4,3,4,6,6,12,1,4,4,6,1],[1,1,6,8,3,5,3,4,4,8,1,3,1,2,
5,3,4,4,2,2,4,4,4,2,2,1,1,2,2,2,4,1,2,2,1,1,2,2,2,2,4,4,4,4,1,2,2,4,1,1,2,2,
1],[1,1,6,1,3,6,6,12,3,4,1,3,3,6,6,12,12,1,6,3,3,4,12,6,3,4,1],[1,1,26,6,12,
13,56,4,8,14,16,3,6,12,24,2,1,2,3,3,6,6,12,3,6,6,1],[1,1,2,24,6,12,1,12,24,32,
4,8,6,8,16,3,6,12,24,2,1,2,3,3,6,6,6,6,3,6,6,1],[1,1,10,16,6,12,5,8,8,48,4,8,
2,12,16,3,6,8,4,8,16,2,1,2,1,2,2,2,1,4,2,4,4,4,4,2,2,1,4,2,4,1],[1,1,10,16,6,
12,5,8,8,16,32,4,4,4,2,4,8,8,8,3,6,8,4,4,4,8,8,2,1,1,1,1,2,1,2,1,1,2,2,2,4,4,
4,4,1,1,2,2,1,2,2,2,2,1],[1,1,6,1,3,3,4,1,3,3,12,1,6,6,6,3,1],[1,1,2,10,2,2,1,
4,4,5,2,8,1,1,1,4,4,2,1,1],[1,1,2,10,2,2,1,4,4,5,2,8,1,1,1,4,4,2,1,1],[1,1,2,
10,2,2,1,4,4,5,2,4,4,1,1,1,4,2,2,1,1,1,1],[1,1,2,10,2,2,1,4,4,5,2,8,1,1,1,4,4,
2,1,1],[1,1,14,1,7,7,12,4,3,7,9,8,12,1,3,4,4,3,4,4,4,1,2,2,2,1],[1,1,6,8,1,7,
3,4,4,8,4,1,2,3,5,4,4,4,4,8,4,1,1,2,4,4,1,2,4,2,2,4,1,1,1,2,2,1],[1,1,6,8,1,7,
3,4,4,8,4,1,2,3,5,4,4,8,8,4,1,1,2,4,4,1,2,4,4,4,1,2,2,2,1],[1,1,6,8,1,7,3,4,4,
8,4,1,2,3,5,4,4,4,4,8,4,1,1,2,4,4,1,2,2,2,4,4,1,1,1,2,2,1],[1,1,6,8,1,7,3,4,4,
8,4,1,2,3,5,4,4,4,4,8,4,1,1,2,4,4,1,2,2,2,4,4,1,1,1,2,2,1],[1,1,14,24,1,3,2,2,
4,7,28,12,40,32,7,8,10,8,8,8,8,3,3,2,2,4,4,4,12,4,4,8,8,8,8,8,16,16,1,1,2,1,2,
1,1,2,2,2,6,6,4,4,4,4,4,4,8,8,8,8,1,1,2,2,1,2,2,4,1],[1,1,6,32,1,3,2,2,4,3,4,
16,32,64,1,8,16,16,16,3,3,2,2,4,4,8,8,16,16,16,16,16,4,1,2,1,1,2,4,4,8,8,8,8,
8,8,8,8,2,4,1,2,2,4,1],[1,1,14,24,3,3,6,7,28,12,24,48,7,8,6,12,12,12,3,3,6,6,
12,12,12,24,12,12,12,1,3,3,1,3,6,6,6,6,6,6,12,12,6,6,3,3,1,2,6,1],[1,1,6,32,3,
3,6,3,4,16,48,48,1,12,8,12,12,12,3,3,6,6,12,12,24,12,12,12,12,1,3,3,1,3,6,6,6,
6,6,6,12,12,6,6,3,3,1,2,6,1],[1,1,14,24,1,3,2,2,4,7,12,12,40,16,32,3,10,8,4,8,
8,8,8,1,1,2,2,2,2,4,4,6,10,2,2,4,4,4,4,4,12,12,8,8,8,8,1,1,2,1,2,1,1,2,1,1,1,
3,1,2,2,1,2,2,2,6,4,4,4,4,8,8,8,8,1,1,2,2,1,1,1,1,1,2,2,1],[1,1,2,8,4,10,2,2,
1,4,6,4,4,5,2,12,4,4,6,1,1,4,4,6,1,4,4,4,2,1,1,1,2,2,1],[1,1,2,8,14,2,2,1,4,2,
4,8,5,2,12,4,4,2,4,1,1,4,4,2,4,1,4,4,4,2,1,1,1,2,2,1],[1,1,2,8,14,2,2,1,4,2,4,
8,5,2,12,4,4,2,4,1,1,4,4,2,4,1,4,4,4,2,1,1,1,2,2,1],[1,1,10,14,2,2,5,10,4,17,
2,4,10,1,5,10,1,4,4,4,2,1,1,1,2,2,1],[1,1,6,24,1,7,8,3,4,12,24,32,4,1,6,8,8,8,
3,5,4,4,4,8,4,4,4,8,16,16,2,1,1,2,4,4,2,2,1,2,2,2,4,4,4,4,2,4,4,1,1,2,2,1,4,4,
1],[1,1,6,24,1,7,8,3,4,12,40,16,4,1,10,8,4,8,1,3,4,6,6,2,6,2,2,4,12,8,16,8,1,
1,1,3,4,4,1,1,2,1,1,3,1,1,2,2,4,4,4,2,2,4,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,22,
8,1,7,8,11,36,4,24,4,9,8,6,8,7,9,4,4,12,12,16,16,1,1,1,3,4,4,2,2,6,6,3,4,4,2,
4,4,1,1,2,2,1,2,2,4,1],[1,1,14,16,1,7,8,7,12,8,16,32,4,3,4,8,8,8,3,5,4,4,4,4,
12,4,4,4,8,8,16,2,1,1,2,4,4,1,1,2,1,1,2,2,1,2,4,2,4,4,2,2,2,4,1,1,1,1,1,1,1,2,
2,2,2,1],[1,1,6,24,4,1,1,10,3,4,12,40,16,4,1,10,8,4,4,4,2,1,5,2,2,4,4,8,8,4,4,
12,16,8,1,1,1,2,1,4,4,2,1,1,2,2,3,2,2,4,4,4,4,2,2,2,1,1,2,2,1,2,2,2,2,1],[1,1,
6,24,4,1,1,10,3,4,12,24,16,16,4,1,6,4,8,4,4,4,2,1,5,6,6,4,4,8,2,2,2,2,8,20,8,
1,1,1,3,4,4,1,1,1,1,1,2,1,2,1,2,5,1,4,4,1,3,3,2,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,
1],[1,1,22,8,4,1,1,10,11,36,4,8,16,4,9,8,2,4,4,4,2,1,5,6,6,8,8,4,4,20,16,1,1,
1,3,4,4,2,1,1,2,2,5,4,2,4,4,2,2,2,4,1,1,2,2,1,2,2,2,2,1],[1,1,14,16,4,1,1,10,
7,12,8,32,16,4,3,8,8,4,4,4,2,1,5,2,2,4,4,8,4,4,4,4,8,4,8,16,1,1,1,2,1,4,4,1,1,
1,1,1,2,1,1,2,4,2,2,4,4,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,10,6,
4,5,8,4,2,3,2,8,4,1,1,1,4,4,2,1,1],[1,1,10,6,4,5,8,4,2,3,2,8,4,1,1,1,4,4,2,1,
1],[1,1,10,6,4,5,8,4,2,3,2,4,4,4,1,1,1,2,2,4,1,1,1,1],[1,1,2,8,6,4,1,4,8,4,2,
3,2,8,4,1,1,1,4,2,2,2,1,1],[1,1,2,8,6,4,1,4,8,4,2,3,2,4,4,4,1,1,1,2,2,2,2,1,1,
1,1],[1,1,2,8,6,4,1,4,8,4,2,3,2,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,1,2,8,6,4,1,4,
8,4,2,3,2,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,1,2,8,6,4,1,4,8,4,2,3,2,8,4,1,1,1,4,
4,2,1,1],[1,1,14,8,1,11,2,2,4,7,12,4,8,4,4,3,2,7,11,2,2,4,4,4,4,8,4,12,8,8,1,
1,3,2,2,4,4,4,4,1,1,2,4,1,2,3,4,4,4,1,1,1,1,1,1,1,4,4,1],[1,1,14,8,1,3,2,2,12,
7,12,4,8,4,4,3,2,3,3,2,6,8,8,4,4,4,4,4,4,12,4,8,1,1,1,2,4,4,4,4,4,1,2,1,2,2,2,
1,3,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,6,16,1,11,2,2,4,3,4,8,16,4,4,1,
4,3,7,2,2,8,8,4,4,8,4,12,4,4,4,4,1,1,1,4,2,4,4,4,4,1,1,2,4,1,3,2,2,2,4,2,2,1,
1,1,1,1,1,1,2,2,2,2,1],[1,1,6,16,1,3,2,2,12,3,4,8,16,4,4,1,4,1,1,2,6,2,2,2,2,
10,10,2,2,2,2,2,2,2,2,4,12,8,1,1,1,5,1,4,4,4,4,1,2,1,2,2,1,1,1,1,2,3,1,1,3,1,
2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,6,8,3,5,2,2,12,3,4,4,8,1,3,1,2,5,3,
2,6,4,4,4,4,8,8,4,4,2,2,1,1,2,4,2,2,2,4,1,2,6,1,6,1,2,2,4,1,2,1,2,1,2,2,4,1],[
1,1,6,8,1,7,4,4,8,3,4,4,8,1,3,1,2,3,5,4,4,4,4,4,4,8,8,2,2,4,4,1,1,2,4,2,2,2,4,
1,2,3,3,4,3,1,2,2,2,2,1,1,1,1,2,1,2,1,1,2,2,1],[1,1,10,8,10,4,5,8,4,2,8,2,3,2,
12,4,4,2,4,4,1,4,4,2,4,1,1,4,2,4,4,1,1,1,2,2,1],[1,1,10,8,4,6,4,5,8,4,6,4,2,3,
2,12,4,4,6,4,1,4,4,6,1,1,4,2,4,4,1,1,1,2,2,1],[1,1,10,8,10,4,5,8,4,2,8,2,3,2,
12,4,4,2,4,4,1,4,4,2,4,1,1,4,2,4,4,1,1,1,2,2,1],[1,1,10,8,10,4,5,4,8,10,2,15,
2,4,4,10,5,10,1,1,4,2,4,4,1,1,1,2,2,1],[1,1,2,16,4,6,4,1,8,8,6,4,2,3,2,12,4,4,
6,4,1,4,4,6,1,1,4,2,2,2,4,1,1,1,2,2,1],[1,1,2,16,10,4,1,8,8,2,8,2,3,2,12,4,4,
2,4,4,1,4,4,2,4,1,1,4,2,2,2,4,1,1,1,2,2,1],[1,1,2,16,10,4,1,8,8,2,8,2,3,2,12,
4,4,2,4,4,1,4,4,2,4,1,1,4,2,2,2,4,1,1,1,2,2,1],[1,1,2,16,10,4,1,8,8,2,8,2,3,2,
12,4,4,2,4,4,1,4,4,2,4,1,1,4,2,2,2,4,1,1,1,2,2,1],[1,1,6,1,3,2,2,4,3,4,1,3,3,
2,2,4,4,4,4,1,2,1,1,2,4,2,2,4,1,2,2,2,1],[1,1,6,1,3,2,2,4,3,4,1,3,3,2,2,4,4,8,
1,2,1,1,2,4,4,4,1,2,4,1],[1,1,6,1,3,2,2,4,3,4,1,3,3,2,2,4,4,8,1,2,1,1,2,4,4,4,
1,2,2,2,1],[1,1,6,1,3,2,2,4,3,4,1,3,3,2,2,4,4,4,4,1,2,1,1,2,2,2,4,4,1,2,2,2,
1],[1,1,14,1,7,16,7,12,4,3,7,9,8,12,1,3,4,4,4,4,3,4,1,2,4,1],[1,1,2,16,10,2,2,
8,1,8,16,4,4,4,5,2,4,8,8,8,8,4,4,1,1,4,2,2,1,2,4,2,2,2,4,8,2,2,1,4,2,4,1],[1,
1,2,16,1,5,1,1,14,1,8,16,4,4,4,1,2,1,7,4,4,4,4,2,2,2,2,8,8,1,1,2,2,2,2,3,2,1,
1,1,2,1,2,6,4,2,2,2,1,2,2,1,1,2,2,1],[1,1,10,8,10,2,2,8,5,8,4,8,4,4,2,2,5,2,4,
4,4,4,4,8,4,4,4,4,1,1,2,2,1,3,1,2,4,1,2,1,2,4,2,6,1,2,1,1,2,2,2,2,2,1],[1,1,
10,8,1,5,1,1,14,5,8,4,8,4,4,2,2,3,4,1,7,2,2,2,2,2,2,2,2,2,2,4,4,8,1,1,1,1,1,1,
1,3,3,2,1,1,1,1,2,1,1,3,3,1,2,3,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,26,6,12,
13,48,2,12,8,9,6,18,24,1,6,9,6,3,6,1,3,3,1],[1,1,18,8,6,12,9,24,4,24,2,6,6,8,
9,6,18,24,1,6,9,6,3,6,1,3,3,1],[1,1,18,12,2,6,9,24,6,24,1,2,6,6,9,6,3,1,6,3,6,
18,6,2,3,9,3,6,3,3,1,3,3,3,6,1,1,1,3,3,3,3,1],[1,1,18,12,8,9,24,6,24,1,2,6,6,
9,6,1,3,6,3,6,18,6,2,3,9,3,6,3,3,1,3,3,6,3,1,1,1,3,3,3,3,1],[1,1,6,24,2,6,3,
12,8,16,24,1,1,1,2,4,6,3,6,6,1,1,2,2,6,4,4,8,6,3,1,2,2,2,3,1,1,2,2,3,4,6,1,1,
2,2,1,1,1,2,2,1,2,2,2,2,1,1,1,1,1,2,2,1,2,1,2,1],[1,1,6,24,2,6,3,12,8,16,24,1,
1,1,2,4,6,3,2,10,1,1,2,6,2,4,4,8,6,3,1,2,2,2,1,3,1,2,2,3,4,6,1,1,2,2,1,1,1,2,
2,1,2,2,2,2,1,1,1,1,1,2,2,1,2,1,2,1],[1,1,6,24,2,6,3,12,8,16,24,1,1,1,2,4,6,3,
5,7,1,1,2,3,5,7,4,5,6,3,1,1,1,1,2,1,3,1,1,3,1,3,2,2,3,3,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,10,12,2,10,5,6,24,1,
10,6,15,6,1,3,6,3,6,10,5,10,2,3,3,6,1,6,3,3,3,3,3,1,1,1,3,3,3,3,1],[1,1,10,12,
12,5,6,24,1,10,6,15,6,3,1,6,3,6,10,5,10,2,3,3,6,1,3,6,3,3,3,3,1,1,1,3,3,3,3,
1],[1,1,6,16,4,8,3,8,24,6,1,4,6,5,16,1,1,2,8,8,6,3,1,4,1,4,2,8,3,6,1,2,1,2,2,
2,1,2,1,1,2,2,1,2,1,1,1,1,2,1,2,1,2,1,2,1],[1,1,6,16,12,3,8,24,2,1,8,6,5,16,1,
1,2,8,4,4,6,3,1,4,1,2,4,4,4,3,6,1,2,1,2,2,2,1,2,1,1,2,2,1,2,1,1,1,1,2,1,2,1,2,
1,2,1],[1,1,6,16,4,8,3,8,24,1,6,1,3,6,5,5,11,1,1,2,3,5,5,3,6,3,1,1,3,1,1,1,1,
3,5,3,3,3,3,1,1,1,1,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1],[1,1,14,8,1,11,7,12,4,8,4,4,3,2,7,11,4,4,4,8,4,12,1,1,3,2,4,4,4,4,1,2,
3,4,4,4,2,2,2,4,1,1,2,2,1,2,2,4,1],[1,1,14,8,3,9,7,12,4,8,1,3,4,3,2,9,9,4,4,2,
2,4,4,2,2,12,1,1,3,2,4,4,2,2,4,1,2,3,2,2,2,2,2,2,2,1,1,2,2,2,1,1,2,1,1,1,1,1,
2,2,2,1],[1,1,2,20,3,9,1,10,12,8,3,4,1,3,2,1,3,10,12,2,2,2,2,4,1,3,12,1,1,3,2,
4,4,3,1,1,2,1,3,1,2,2,2,2,2,2,2,1,1,2,2,2,2,1,1,1,1,2,1,1,1,2,2,2,1],[1,1,2,
20,1,11,1,10,12,8,1,4,3,3,2,1,3,12,10,2,2,4,3,5,12,1,1,3,2,1,1,4,4,2,1,1,2,3,
1,2,2,2,2,2,2,2,1,1,2,2,2,2,1,1,1,1,2,1,1,1,2,2,2,1],[1,1,6,8,1,7,2,2,4,3,4,4,
8,4,1,2,3,5,2,2,4,4,4,4,4,8,4,1,1,2,2,4,4,1,1,2,1,2,2,2,2,1,1,1,2,2,1],[1,1,6,
8,3,5,2,2,4,3,4,4,8,1,3,1,2,5,3,2,2,4,4,4,4,2,2,4,4,2,2,1,1,2,2,2,2,4,1,1,2,1,
2,2,1,1,2,1,1,1,1,1,1,1,1],[1,1,14,1,7,2,2,4,7,12,4,3,7,9,2,2,4,4,4,12,1,3,2,
4,4,1,1,2,3,2,2,2,1,1,1,2,2,1],[1,1,2,12,3,5,2,2,4,1,6,4,8,3,1,1,2,1,1,2,2,6,
8,4,4,2,2,2,2,4,1,3,1,1,2,2,3,1,1,2,1,1,1,2,1,2,1,1,2,2,1,1,1,1,1,1,1,1],[1,1,
2,12,1,7,2,2,4,1,6,4,8,1,3,1,2,1,1,2,2,8,6,4,4,2,2,4,3,5,1,1,2,2,1,1,2,1,1,2,
1,1,2,1,2,1,1,2,2,1,1,1,1,1,1,1,1],[1,1,6,8,3,3,10,3,4,4,8,4,1,2,3,5,6,6,4,4,
4,4,8,1,2,3,4,4,1,3,1,2,2,2,2,1,1,1,2,2,1],[1,1,14,3,3,10,7,12,4,3,3,5,10,10,
4,12,1,5,4,4,1,3,3,2,2,2,1,1,1,2,2,1],[1,1,6,8,5,5,6,3,4,4,8,1,3,1,2,5,3,6,6,
4,4,2,2,2,2,4,4,1,2,3,2,2,4,1,3,1,2,1,1,2,2,1,1,1,1,1,1,1,1],[1,1,6,16,1,3,3,
4,8,16,32,1,4,8,8,8,3,3,2,2,4,4,4,8,2,1,2,2,4,4,2,1,1,2,2,2,2,1,1,1,2,2,1],[1,
1,6,16,1,3,3,4,8,32,16,1,8,8,4,8,1,1,2,2,2,2,4,2,6,2,2,4,1,1,1,1,1,1,1,4,4,1,
1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,14,8,1,3,7,28,4,24,7,8,6,8,3,3,2,2,4,4,12,1,
1,1,6,6,2,1,1,2,2,2,2,1,1,1,2,2,1],[1,1,6,16,1,1,2,3,4,8,32,16,1,8,8,4,4,4,1,
1,2,2,2,2,4,4,4,8,1,1,1,2,2,4,4,1,1,2,2,2,2,2,1,1,1,2,2,1],[1,1,14,8,1,1,2,7,
28,4,8,16,7,8,2,4,4,4,1,1,2,2,2,2,4,4,4,8,1,1,1,2,2,4,4,1,1,2,2,2,2,2,1,1,1,2,
2,1],[1,1,10,16,2,4,2,2,5,8,8,8,16,1,1,2,2,4,1,2,2,6,2,2,2,2,4,2,8,4,8,8,2,2,
1,1,1,1,1,4,2,2,4,2,2,1,1,2,2,1,1,1,1,1,1,1,1],[1,1,10,16,6,2,2,5,8,8,8,16,2,
2,2,4,1,2,8,4,4,4,10,4,8,8,4,2,1,1,1,4,4,4,4,2,4,1,1,2,1,2,1],[1,1,6,20,6,4,3,
10,32,1,1,8,3,2,6,2,2,6,5,8,3,8,8,1,2,3,1,4,4,6,2,2,1,1,2,2,1,1,1,1,1,1,1,1],[
1,1,6,20,2,4,4,3,10,32,1,1,8,3,2,6,2,2,6,5,8,3,8,8,1,2,3,1,4,4,6,2,2,1,1,2,2,
1,1,1,1,1,1,1,1],[1,1,14,12,2,4,4,7,12,6,12,8,1,1,3,3,2,2,1,2,2,4,2,2,4,8,2,1,
3,4,8,8,1,2,1,2,1,2,1,1,2,2,2,4,2,2,1,1,2,2,1,1,1,1,1,1,1,1],[1,1,14,12,6,4,7,
12,6,12,8,1,1,3,3,2,3,2,6,2,2,12,3,3,4,8,8,3,3,1,3,1,2,2,6,2,2,1,1,2,2,1,1,1,
1,1,1,1,1],[1,1,6,20,2,4,2,2,3,4,10,20,8,1,1,1,5,2,2,1,2,2,4,2,2,4,8,2,1,3,4,
4,4,4,4,1,2,1,2,1,1,2,1,2,2,2,4,2,2,1,1,2,2,1,1,1,1,1,1,1,1],[1,1,6,20,6,2,2,
3,4,10,20,8,1,1,1,5,2,3,2,6,2,2,12,3,3,4,4,4,4,4,3,3,1,1,3,2,2,6,2,2,1,1,2,2,
1,1,1,1,1,1,1,1],[1,1,6,20,6,4,3,4,10,20,8,1,1,1,5,2,3,2,6,2,2,12,3,3,4,8,8,3,
3,1,1,3,2,2,6,2,2,1,1,2,2,1,1,1,1,1,1,1,1],[1,1,6,20,2,4,4,3,4,10,20,8,1,1,1,
5,2,2,1,2,2,4,2,2,4,8,2,1,3,4,8,8,1,2,1,2,1,1,2,1,2,2,2,4,2,2,1,1,2,2,1,1,1,1,
1,1,1,1],[1,1,2,24,6,4,1,12,16,16,2,4,4,1,2,8,2,2,4,4,10,4,8,8,4,2,1,1,1,2,2,
4,4,2,2,1,1,2,2,1,1,1,1,1,1,1,1],[1,1,2,24,2,4,4,1,12,16,16,1,1,4,4,1,2,2,6,4,
2,2,4,2,8,4,8,8,2,2,1,1,1,1,1,2,2,2,2,4,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,20,
6,2,2,3,10,32,1,1,8,3,2,6,2,2,6,5,8,3,8,8,1,2,3,1,4,6,4,2,2,1,1,2,2,1,1,1,1,1,
1,1,1],[1,1,6,20,2,4,2,2,3,10,32,1,1,8,3,2,6,2,2,6,5,8,3,8,8,1,2,3,1,4,6,4,2,
2,1,1,2,2,1,1,1,1,1,1,1,1],[1,1,18,8,6,2,2,9,24,4,8,2,6,2,9,2,4,4,18,8,8,6,1,
1,9,4,4,2,4,1,1,2,1,2,1],[1,7,20,2,3,5,3,22,20,1,1,3,5,5,6,2,2,7,6,3,10,6,6,1,
3,2,1,5,3,6,2,2,1,1,2,2,1,1,1,1,1,1,1,1],[1,7,20,5,5,3,22,20,1,1,3,5,5,6,2,2,
7,6,3,10,6,6,1,3,2,1,5,3,6,2,2,1,1,2,2,1,1,1,1,1,1,1,1],[1,7,20,2,3,5,3,22,20,
1,1,3,5,2,3,6,2,2,3,4,6,3,10,4,4,2,2,1,3,2,1,2,2,3,1,6,2,2,1,1,2,2,1,1,1,1,1,
1,1,1],[1,7,20,4,1,5,3,22,20,1,1,3,5,2,3,6,2,2,3,4,6,3,10,4,4,2,2,1,3,2,1,2,2,
3,1,6,2,2,1,1,2,2,1,1,1,1,1,1,1,1],[1,7,20,5,5,7,10,8,20,1,1,1,2,5,5,6,2,2,3,
10,3,6,10,6,3,3,1,3,5,6,2,2,1,1,2,2,1,1,1,1,1,1,1,1],[1,7,20,2,3,5,7,10,8,20,
1,1,1,2,5,2,3,6,2,2,3,4,6,3,2,10,4,2,4,3,3,1,1,2,2,3,6,2,2,1,1,2,2,1,1,1,1,1,
1,1,1],[1,7,20,4,1,5,7,10,8,20,1,1,1,2,5,4,1,4,2,2,2,1,2,8,2,3,2,10,4,2,4,1,2,
2,1,1,1,2,4,4,1,2,2,2,1,1,2,2,1,1,1,1,1,1,1,1],[1,7,20,2,3,5,7,10,8,20,1,1,1,
2,5,2,3,4,2,2,2,1,2,4,6,3,6,10,6,1,2,2,1,1,3,2,4,3,2,2,2,1,1,2,2,1,1,1,1,1,1,
1,1],[1,1,6,1,3,2,2,12,3,4,1,3,3,2,6,4,4,2,2,1,2,1,2,2,1,2,2,1,1,2,2,1,1,1,
1],[1,1,6,4,3,3,10,3,4,1,2,3,5,6,6,2,2,3,2,1,1,3,1,1,1,2,2,2,1,1,1,1],[1,1,2,
24,6,4,1,12,8,16,4,2,4,3,2,2,2,4,4,4,8,8,1,1,1,2,4,4,4,2,4,4,4,1,1,1,2,2,1],[
1,1,10,16,6,4,5,8,8,16,4,2,4,3,2,2,2,4,4,4,8,8,1,1,1,2,4,4,4,2,4,4,4,1,1,1,2,
2,1],[1,1,10,16,2,8,5,8,8,16,4,2,4,1,4,2,2,4,4,4,8,8,1,1,1,2,4,4,4,2,2,2,4,4,
1,1,1,2,2,1],[1,1,2,24,2,8,1,12,8,16,4,2,4,1,4,2,2,4,4,4,8,8,1,1,1,2,4,4,4,2,
2,2,4,4,1,1,1,2,2,1],[1,1,10,6,20,5,8,4,2,3,10,4,1,1,1,4,4,1,2,1],[1,1,14,16,
1,7,7,12,8,16,32,4,3,4,8,8,8,7,9,2,2,4,4,8,12,2,1,3,4,4,2,2,3,4,4,4,4,2,1,1,2,
4,4,1,1,1,2,2,4,2,2,1],[1,1,6,24,3,5,3,4,12,24,32,1,3,1,6,8,8,8,5,3,4,4,4,4,4,
6,6,8,2,1,1,2,2,2,4,3,2,2,4,4,4,4,2,2,2,4,4,1,1,1,2,2,2,2,2,2,1],[1,1,6,24,1,
7,3,4,12,24,32,4,1,6,8,8,8,3,5,4,4,2,2,8,4,4,4,8,2,1,1,2,4,4,1,2,2,2,4,4,4,4,
2,1,1,2,4,4,1,1,1,2,2,4,2,2,1],[1,1,10,20,3,5,5,8,10,12,8,32,3,1,2,3,2,8,8,8,
1,1,6,8,2,2,6,6,4,1,3,4,4,2,1,1,2,3,1,1,2,1,1,2,1,1,2,4,4,2,2,2,2,1,1,2,2,2,2,
2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,10,20,1,7,5,8,10,12,8,32,1,3,2,3,2,8,8,8,1,
1,8,6,2,2,4,8,3,5,4,4,2,1,1,2,1,1,2,1,1,2,1,2,1,1,2,4,4,2,2,2,2,1,1,2,2,2,2,2,
2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,6,24,3,3,2,3,4,12,24,32,1,3,1,6,8,8,8,3,1,2,2,
4,4,4,2,2,4,4,4,4,4,4,2,1,2,1,2,2,4,1,2,2,2,2,2,2,2,4,4,2,2,2,4,4,1,1,1,2,2,2,
2,2,2,1],[1,1,6,24,1,1,6,3,4,12,24,32,4,1,6,8,8,8,1,3,2,2,4,4,2,2,4,4,8,4,4,4,
2,1,2,1,4,4,1,2,2,2,2,2,2,2,4,4,1,1,2,2,4,4,1,1,1,2,2,4,2,2,1],[1,1,14,16,1,1,
6,7,12,8,16,32,4,3,4,8,8,8,1,3,6,6,2,2,12,4,4,4,4,2,1,3,4,4,3,2,2,2,2,2,2,4,4,
1,1,2,2,4,4,1,1,1,2,2,4,2,2,1],[1,1,6,8,3,5,8,3,4,4,8,1,3,1,2,5,3,4,4,4,4,4,4,
2,2,1,1,2,2,2,4,2,2,1,2,2,2,2,2,1,1,1,2,2,1],[1,1,6,8,1,7,8,3,4,4,8,4,1,2,3,5,
4,4,4,2,2,8,4,1,1,2,4,4,2,2,1,2,2,1,1,2,2,1,1,1,2,2,1],[1,1,2,12,3,5,8,1,6,4,
8,3,1,1,2,1,1,4,6,8,2,2,2,2,4,1,3,1,1,2,3,1,1,2,1,1,1,2,1,2,1,1,2,2,2,1,1,1,1,
1,1,1,1],[1,1,2,12,1,7,8,1,6,4,8,1,3,1,2,1,1,4,8,6,2,2,4,3,5,1,1,2,1,1,2,1,1,
2,1,1,2,1,2,1,1,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,16,1,3,8,3,4,8,16,32,1,4,8,8,8,
3,3,4,4,4,4,8,2,1,2,2,2,2,4,4,2,2,2,2,1,1,1,4,1],[1,1,6,16,4,1,1,6,3,4,8,16,
32,1,4,8,8,8,2,1,3,2,2,4,4,4,4,4,2,1,2,1,1,2,2,2,2,2,2,2,2,2,2,1,1,1,2,2,1],[
1,1,2,16,2,8,4,1,8,8,16,1,1,4,2,4,3,2,2,6,2,2,2,2,4,2,8,1,2,2,1,1,1,1,2,2,4,2,
2,2,2,1,1,4,1,1,1,1,1,1,1,1],[1,1,2,16,10,4,1,8,8,16,4,2,2,4,3,2,8,4,4,4,10,1,
4,2,1,1,4,4,4,4,2,4,1,1,2,2,1,1],[1,1,6,12,2,8,4,3,4,6,12,8,1,4,1,1,3,2,2,3,2,
2,4,2,2,4,8,2,1,3,1,1,2,1,2,1,2,1,2,4,2,2,2,2,1,1,2,2,1,1,1,1,1,1,1,1],[1,1,6,
12,10,4,3,4,6,12,8,1,4,1,1,3,2,5,2,6,2,2,12,3,3,1,3,3,1,3,6,2,2,2,2,1,1,2,2,1,
1,1,1,1,1,1,1],[1,1,18,10,4,9,24,2,4,6,11,2,4,18,1,6,1,9,4,4,2,4,1,1,2,2,1,
1],[1,1,10,24,2,2,2,5,8,12,8,16,2,2,4,1,2,2,2,4,4,4,4,8,8,8,8,1,1,1,4,2,4,2,4,
4,4,4,1,1,1,2,2,1],[1,1,10,24,1,1,1,1,2,5,8,12,8,16,2,2,4,1,1,1,2,2,4,4,4,4,4,
4,4,4,4,4,4,4,1,2,1,1,2,2,2,2,2,4,4,4,4,1,1,1,2,2,1],[1,1,10,16,3,7,1,1,6,5,8,
8,16,1,3,2,4,7,6,1,3,8,8,8,8,4,4,2,2,4,4,4,4,8,8,1,2,4,4,4,8,3,3,1,2,4,1,1,1,
2,2,2,2,2,2,2,1,1,2,1,2,2,2,2,1],[1,1,10,16,1,1,3,3,10,5,8,8,16,1,3,2,4,1,3,5,
4,4,8,8,4,4,2,2,4,4,8,8,4,4,8,8,1,4,2,4,4,8,1,3,3,1,2,1,2,1,2,2,4,2,4,2,1,1,2,
1,2,2,2,2,1],[1,1,10,16,6,4,4,4,5,8,8,16,1,3,2,4,3,4,2,4,4,8,8,8,4,8,6,6,4,12,
12,1,4,2,4,4,8,3,1,3,1,2,2,3,1,6,2,2,2,2,1,1,2,1,2,2,2,2,1],[1,1,6,1,3,8,3,4,
1,3,3,4,2,2,4,1,2,2,2,1,1,2,2,2,2,2,1,1,1,1],[1,1,10,8,2,2,2,5,8,4,8,2,2,1,2,
8,4,4,8,8,1,1,1,4,4,1,2,1],[1,1,10,8,1,1,1,1,2,5,8,4,8,2,2,1,1,1,4,4,4,4,4,4,
4,4,1,2,1,1,2,2,2,1,1,1,1],[1,1,18,16,2,2,2,8,9,32,8,32,32,8,8,8,8,8,8,8,1,2,
4,4,4,4,4,4,4,12,12,8,8,16,1,1,2,2,2,1,2,1,1,2,4,2,6,8,8,8,8,2,2,2,2,2,2,1,1,
1,2,2,2,2,1],[1,1,10,24,2,2,2,8,5,8,12,40,16,32,2,10,8,4,8,8,8,8,1,2,4,2,2,6,
6,4,4,6,6,6,6,4,8,12,8,1,1,2,3,1,1,2,1,1,2,3,1,2,3,3,4,8,4,8,4,4,1,3,1,2,1,1,
2,1,1,1,1,1,1,1,1,2,1,1,1],[1,1,10,24,1,5,1,1,6,5,8,12,40,16,32,2,10,8,4,8,8,
8,8,1,2,1,3,2,4,4,2,2,2,4,8,2,2,4,4,4,4,4,2,2,4,12,8,1,1,2,2,1,1,1,1,1,1,1,1,
2,1,1,2,1,2,3,1,4,4,4,4,4,4,4,4,1,1,3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,
1,10,24,1,5,1,1,6,5,8,12,40,16,32,2,10,8,4,8,8,8,8,3,4,1,3,2,2,4,4,2,6,4,4,4,
8,2,2,4,4,4,4,8,8,1,1,2,1,1,2,1,1,1,1,2,2,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,2,2,
2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,18,16,1,5,1,1,6,9,32,8,32,32,8,8,8,
8,8,8,8,3,4,1,3,2,2,2,2,2,2,6,14,4,4,6,6,8,4,4,8,1,1,2,1,1,1,1,1,1,1,1,7,6,1,
1,2,2,1,3,4,4,4,4,4,4,1,1,1,2,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,10,6,4,
5,8,4,2,3,2,4,4,4,1,1,1,4,4,1,2,1],[1,1,10,2,8,5,8,4,2,1,4,2,2,2,2,4,1,1,1,2,
2,2,2,1,1,1,1],[1,1,2,8,6,4,1,4,8,4,2,3,2,4,4,4,1,1,1,4,4,1,2,1],[1,1,2,8,2,8,
1,4,8,4,2,1,4,2,2,2,2,4,1,1,1,2,2,2,2,1,1,1,1],[1,1,10,8,2,2,2,16,5,8,4,8,2,2,
1,2,8,4,4,8,8,1,1,1,4,4,1,2,1],[1,1,6,1,3,3,4,1,3,3,4,4,4,1,4,2,2,2,2,2,4,1,2,
2,2,1],[1,1,2,10,2,2,1,4,4,5,2,8,1,1,1,4,4,1,2,1],[1,1,2,1,1,1,1,10,1,4,4,1,1,
5,4,4,1,1,2,2,1,2,2,1,1,1,1],[1,1,2,16,10,2,2,1,8,16,4,4,4,5,2,2,2,4,4,8,8,1,
1,1,4,2,4,4,4,4,4,2,1,1,1,2,2,1],[1,1,2,16,1,1,1,1,10,1,8,16,4,4,4,1,1,5,2,2,
4,4,4,4,4,4,1,1,2,2,1,2,2,2,4,4,4,4,2,1,1,1,2,2,1],[1,1,2,8,1,5,1,1,2,1,4,8,2,
1,2,1,1,4,4,4,2,2,2,2,2,1,1,1,2,2,2,1,1,1,1],[1,1,2,8,2,2,2,4,1,4,8,2,1,2,2,4,
4,2,2,4,2,2,2,1,1,1,2,2,2,1,1,1,1],[1,1,2,8,1,1,1,1,6,1,4,8,2,1,1,3,4,4,2,2,4,
2,2,2,1,1,1,2,2,2,1,1,1,1],[1,1,6,4,6,2,2,3,2,1,1,3,2,2,4,2,2,2,1,3,1,1,1,1,1,
1,3,1,4,2,2,1,1,1,1,1,1,1,1,1],[1,1,6,4,2,4,2,2,3,2,1,1,3,2,2,2,4,2,2,1,3,1,1,
1,1,1,1,3,1,4,2,2,1,1,1,1,1,1,1,1,1],[1,1,6,4,2,4,4,3,2,1,1,3,2,2,4,2,2,2,1,3,
1,1,1,1,1,1,3,1,4,2,2,1,1,1,1,1,1,1,1,1],[1,1,6,4,6,4,3,2,1,1,3,2,2,2,4,2,2,1,
3,1,1,1,1,1,1,3,1,4,2,2,1,1,1,1,1,1,1,1,1],[1,1,2,16,1,1,3,3,6,1,8,16,1,3,4,1,
3,3,4,4,4,4,4,4,4,1,3,3,2,2,2,4,4,2,1,1,1,2,2,1],[1,1,2,16,6,4,4,1,8,16,1,3,4,
3,4,4,4,4,8,8,1,3,3,2,4,4,4,2,1,1,1,2,2,1],[1,1,2,16,3,3,1,1,6,1,8,16,1,3,4,3,
1,3,4,4,4,4,4,4,4,1,3,3,2,2,2,4,4,2,1,1,1,2,2,1],[1,1,6,16,4,3,8,8,8,1,2,2,3,
3,3,2,2,4,2,3,1,1,1,2,2,1,3,1,3,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,16,4,3,8,8,8,
1,2,2,3,3,3,2,2,4,2,3,1,1,1,2,2,3,1,1,3,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,10,12,4,
5,8,6,8,1,2,2,1,2,1,3,4,2,3,2,4,1,1,1,2,2,1,2,1,2,2,4,2,2,1,1,1,1,1,1,1,1],[1,
1,10,12,2,2,5,8,6,8,1,2,2,1,2,3,1,4,2,3,2,4,1,1,1,2,2,1,2,1,2,2,2,4,2,1,1,1,1,
1,1,1,1],[1,1,18,2,12,9,32,8,8,1,6,4,4,8,1,1,2,2,3,2,1,1,1,1],[1,1,10,8,2,12,
5,8,4,24,2,6,8,1,6,4,4,8,1,1,2,2,3,2,1,1,1,1],[1,1,2,24,1,5,1,1,2,1,12,8,16,2,
4,1,2,1,1,4,4,4,4,4,2,2,4,4,4,4,2,1,1,1,2,2,2,2,2,4,4,1,1,1,2,2,1],[1,1,2,24,
1,1,1,1,6,1,12,8,16,2,4,1,1,3,4,4,4,6,2,4,4,4,4,4,2,1,1,1,2,2,2,2,2,4,4,1,1,1,
2,2,1],[1,1,2,24,2,2,2,4,1,12,8,16,2,4,1,2,2,4,4,4,4,4,2,2,8,8,2,1,1,1,2,4,2,
2,4,4,1,1,1,2,2,1],[1,1,2,3,3,1,1,6,1,1,3,3,1,3,2,2,4,1,3,3,2,2,1,1,1,1],[1,1,
2,1,1,3,3,6,1,1,3,1,3,3,4,2,2,1,3,3,2,2,1,1,1,1],[1,1,2,6,4,4,1,1,3,3,4,2,2,4,
1,3,3,2,2,1,1,1,1],[1,1,6,8,8,3,4,8,1,4,2,5,1,5,2,2,2,3,1,1,1,2,2,2,2,2,4,1,3,
2,1,1,1,1,1,1,1,1],[1,1,6,8,8,3,4,8,1,4,2,5,5,1,2,2,2,3,1,1,1,2,2,2,2,2,4,1,3,
2,1,1,1,1,1,1,1,1],[1,1,2,12,8,1,6,8,1,4,2,3,2,3,1,4,2,3,2,1,1,1,2,4,2,2,1,2,
1,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,12,2,6,1,6,8,1,4,2,3,2,1,3,4,2,3,2,1,1,1,4,2,
2,2,1,2,1,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,2,6,9,2,2,9,1,2,6,6,6,1,6,1,2,1],[1,1,
2,2,15,2,2,9,1,8,6,6,1,6,1,2,1],[1,1,2,2,9,2,2,9,1,6,6,1,1,1],[1,1,2,2,9,2,2,
9,1,6,6,1,1,1],[1,1,12,2,2,9,6,2,2,12,4,9,1,6,6,2,6,1,4,6,1,2,1],[1,1,12,2,2,
9,6,2,2,12,4,9,1,6,6,2,6,1,4,6,1,2,1],[1,1,1,8,4,3,1,8,4,1,4,3,4,2,1,1,1],[1,
1,5,8,3,5,8,1,4,3,4,1,2,1,1],[1,1,4,5,4,3,1,4,4,4,1,4,3,4,1,1,1,1,1],[1,1,6,
18,1,2,1,3,3,9,1,2,1,6,6,2,6,6,6,9,1,1,3,3,1,3,6,3,1,2,2,3,3,1,1,1,1],[1,1,24,
1,2,1,3,12,1,2,1,6,8,6,6,6,9,1,1,3,4,3,6,3,1,2,2,3,3,1,1,1,1],[1,1,18,2,2,1,9,
9,2,2,12,6,6,9,1,6,6,2,2,6,6,1,1,1,6,6,1,1,1,1],[1,1,6,24,2,2,3,12,36,2,2,6,6,
12,2,2,6,6,9,1,6,1,1,6,6,6,6,6,3,3,1,1,1,2,2,3,3,1,1,1,2,2,1],[1,1,6,24,1,2,1,
3,12,36,1,2,1,6,6,2,6,2,6,6,3,3,9,1,1,3,1,6,3,6,6,12,3,3,1,1,1,2,2,3,3,1,1,1,
2,2,1],[1,1,6,24,1,3,3,12,36,1,3,3,3,6,2,4,4,9,9,9,1,1,4,3,9,3,6,6,6,3,3,1,1,
1,1,1,1,1,3,3,1,1,1,1,1,1,1,1],[1,1,18,2,2,3,3,9,2,2,12,6,6,9,1,1,1,3,3,6,6,1,
1,1,3,3,1,1,1,1],[1,1,18,1,2,1,3,3,9,1,2,1,6,6,6,3,3,9,1,1,1,3,3,3,6,3,1,1,1,
3,3,1,1,1,1],[1,1,2,2,4,3,2,2,3,1,1,1,5,3,2,1,3,1,1,1,1,1],[1,1,2,6,1,2,1,3,1,
3,1,2,1,2,2,2,2,6,2,3,1,1,3,1,1,2,1,3,1,2,2,1,3,1,1,1,1],[1,1,8,1,2,1,3,4,1,2,
1,2,8,2,2,2,3,1,1,3,1,4,2,1,1,2,2,1,3,1,1,1,1],[1,1,2,36,1,2,1,1,18,36,1,2,1,
2,2,2,2,6,6,12,12,6,3,3,9,1,3,3,3,12,6,3,6,6,12,12,6,1,2,1,1,2,1,1,2,3,3,6,1,
1,2,2,1,1],[1,1,6,6,2,2,1,3,3,2,2,6,6,2,2,3,1,2,2,1,1,3,3,1,2,2,1,3,1,1,1,1],[
1,1,10,1,5,5,1,5,5,5,1,2,5,1,1,1,1,1,1,1],[1,3,4,15,3,6,7,6,1,1,2,1],[1,1,14,
7,7,7,14,1,7,1,1,1,1,1,1,1,1,1],[1,1,18,4,6,9,24,4,2,6,9,18,12,6,9,1,4,1,3,
1],[1,1,6,12,4,2,4,3,6,24,4,1,1,6,3,6,6,3,6,3,8,4,1,2,3,3,6,1,4,1,1,2,1],[1,1,
6,12,4,6,3,6,24,4,1,1,6,3,6,6,3,6,3,12,1,2,3,3,6,1,4,1,1,2,1],[1,1,6,12,4,2,4,
3,6,24,4,1,1,6,3,3,3,3,3,3,6,3,8,4,1,1,1,3,3,3,3,1,4,1,1,1,1,1],[1,7,12,4,3,3,
3,18,12,4,1,1,3,3,3,6,3,6,3,6,12,1,3,2,3,6,1,4,1,1,2,1],[1,7,12,4,2,1,3,3,18,
12,4,1,1,3,3,3,6,3,6,3,6,4,8,1,3,2,3,6,1,4,1,1,2,1],[1,7,12,4,2,1,3,3,18,12,4,
1,1,3,3,3,3,3,3,3,3,3,6,4,8,1,1,1,3,3,3,3,1,4,1,1,1,1,1],[1,1,18,16,6,9,24,16,
2,6,9,18,12,6,9,8,12,1,1],[1,1,6,12,16,6,3,4,6,12,8,16,1,1,1,3,2,3,6,12,3,3,4,
8,3,3,3,6,4,4,4,8,1,1],[1,7,12,16,3,3,7,6,8,12,16,1,1,1,2,3,3,6,3,6,3,6,4,8,3,
3,3,6,4,4,4,8,1,1],[1,1,6,4,7,9,3,4,3,9,1,9,3,3,3,4,4,4,3,1,3,3,3,3,3,1,4,3,1,
1,1,1],[1,1,6,4,16,3,4,1,12,9,6,3,8,4,3,1,6,6,3,1,4,3,1,2,1],[1,1,6,4,16,3,4,
3,1,9,9,3,3,3,8,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,6,4,7,9,3,4,9,1,3,9,3,3,3,
4,4,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,2,12,4,6,6,1,6,4,8,8,3,4,3,6,6,6,3,4,
4,4,1,3,6,6,3,1,4,3,1,1,1,1],[1,1,2,12,4,12,1,6,4,8,8,3,4,3,6,6,6,3,4,4,4,1,3,
6,6,3,1,4,3,1,1,1,1],[1,1,2,12,4,12,1,6,4,8,8,4,3,3,6,6,6,3,4,4,4,1,3,6,6,3,1,
4,3,1,1,1,1],[1,1,14,4,3,9,7,4,8,8,1,3,3,9,3,3,9,4,4,4,1,3,3,3,3,3,3,1,4,3,1,
1,1,1],[1,1,14,4,12,7,4,8,8,3,4,9,6,9,4,4,4,1,3,6,6,3,1,4,3,1,1,1,1],[1,1,14,
4,12,7,4,8,8,1,3,3,9,3,3,9,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,14,4,3,9,7,
4,8,8,3,3,1,9,3,3,9,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,6,4,4,12,3,4,1,3,
6,6,3,4,1,3,3,1,4,3,1,1],[1,1,6,4,4,6,6,3,4,1,3,6,6,3,4,1,3,3,1,4,3,1,1],[1,7,
4,6,1,9,3,4,1,6,3,6,3,4,1,3,3,1,4,3,1,1],[1,7,4,7,9,3,4,1,9,6,3,4,1,3,3,1,4,3,
1,1],[1,1,6,16,3,3,6,3,4,16,1,3,3,6,6,4,3,1,3,4,1,1,1],[1,1,6,4,4,3,4,1,3,1,3,
3,4,1,3,3,1,4,1,1,1],[1,1,6,4,4,3,4,1,3,3,1,3,4,1,3,3,1,4,1,1,1],[1,1,6,12,4,
6,4,3,6,4,8,3,1,3,6,3,3,6,3,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,6,12,4,
10,3,6,4,8,3,1,3,6,3,3,6,3,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,6,12,4,1,
9,3,6,4,8,1,3,3,6,6,6,3,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,18,4,6,4,9,
4,8,3,1,3,6,3,3,6,3,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,18,4,1,9,9,4,8,
1,3,9,3,3,9,3,4,4,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,18,4,1,9,9,4,8,3,1,9,3,
3,9,3,4,4,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,18,4,10,9,4,8,1,3,9,3,3,3,6,3,4,
4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,18,4,1,9,9,4,4,4,3,1,9,3,3,3,9,4,4,4,1,
3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,18,4,1,9,9,4,4,4,1,3,9,3,3,3,9,4,4,4,1,3,3,3,
3,3,3,1,4,3,1,1,1,1],[1,1,6,12,4,1,9,3,6,4,4,4,1,3,3,6,6,6,3,3,4,4,4,1,3,3,3,
3,3,3,1,4,3,1,1,1,1],[1,3,12,16,9,3,1,6,16,3,3,6,6,3,6,4,3,1,3,4,3,1,1],[1,3,
12,16,3,9,1,6,16,3,3,6,6,3,6,4,3,1,3,4,3,1,1],[1,3,12,16,6,3,3,1,6,16,3,3,6,6,
3,6,4,3,1,3,4,3,1,1],[1,15,16,3,9,7,16,3,9,6,9,4,3,1,3,4,3,1,1],[1,1,10,4,10,
5,4,16,10,15,10,4,8,5,10,1,4,1,1,2,1],[1,1,2,8,4,4,6,1,4,4,8,8,1,6,3,3,3,9,1,
3,3,3,4,4,4,1,1,3,1,3,3,3,1,4,1,1,1,1,1],[1,1,2,8,4,4,6,1,4,4,8,8,6,4,3,12,4,
6,4,4,4,1,4,4,6,1,4,1,1,1,1,1],[1,1,6,24,4,1,3,3,12,24,4,8,8,1,6,3,3,3,6,6,3,
4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,6,24,4,4,3,12,24,4,16,1,6,3,6,12,3,4,
8,1,3,6,3,6,1,4,3,1,2,1],[1,1,6,24,4,4,3,12,24,4,16,1,6,3,6,6,6,3,4,8,1,3,6,3,
6,1,4,3,1,2,1],[1,1,6,24,4,4,3,12,24,4,16,1,6,3,6,6,6,3,4,8,1,3,6,3,6,1,4,3,1,
2,1],[1,1,30,4,1,3,15,24,4,8,8,1,6,3,3,3,6,3,3,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,
1,1,1],[1,1,30,4,4,15,24,4,16,1,6,3,3,3,3,9,3,4,8,1,3,3,3,3,3,3,1,4,3,1,1,1,
1],[1,7,24,4,1,3,3,12,24,4,16,1,6,3,6,3,6,6,4,8,1,3,6,3,6,1,4,3,1,2,1],[1,7,
24,4,1,3,3,12,24,4,16,1,6,3,6,3,6,6,4,8,1,3,6,3,6,1,4,3,1,2,1],[1,7,24,4,1,3,
3,12,24,4,8,8,1,6,3,3,3,3,6,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,12,18,4,
1,3,6,9,24,4,8,8,1,6,3,3,3,6,3,3,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,12,
18,4,1,3,6,9,24,4,8,8,1,6,3,3,3,6,3,3,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,
1,14,4,1,7,7,12,4,8,4,3,7,9,12,4,4,4,1,3,4,4,3,1,4,1,1,1,1,1],[1,1,2,12,4,1,7,
1,6,12,4,8,4,3,1,3,6,6,12,4,4,4,1,3,4,4,3,1,4,1,1,1,1,1],[1,1,14,4,1,1,6,7,12,
4,4,4,4,3,1,3,6,6,12,4,4,4,1,3,4,4,3,1,4,1,1,1,1,1],[1,1,2,12,4,1,1,6,1,6,12,
4,4,4,4,3,1,3,6,6,12,4,4,4,1,3,4,4,3,1,4,1,1,1,1,1],[1,1,2,24,1,6,12,1,12,1,2,
2,6,1,12,9,3,9,27,3,9,9,9,1,3,3,3,1,3,1,1,3,9,3,9,9,9,1,3,1,3,3,3,3,3,3,3,3,6,
3,1,3,1,1,3,3,3,1],[1,1,6,36,1,4,6,3,18,72,1,6,6,6,3,1,18,3,9,9,9,9,9,18,3,1,
1,1,3,3,3,24,3,1,3,3,9,9,9,9,3,3,1,1,3,3,3,3,3,3,3,6,3,1,1,1,3,3,3,3,1],[1,3,
16,16,3,3,1,12,12,16,1,3,3,6,6,6,6,4,1,3,3,4,1,1,1],[1,7,12,16,3,3,7,6,12,16,
1,3,3,6,6,6,6,4,1,3,3,4,1,1,1],[1,1,2,24,4,6,1,12,24,4,8,8,8,4,6,3,3,3,6,6,4,
4,16,4,1,3,6,6,3,1,4,3,1,1,1,1],[1,1,2,24,4,6,1,12,24,4,4,4,8,8,4,6,3,3,3,6,6,
8,4,4,8,4,1,3,6,6,3,1,4,3,1,1,1,1],[1,1,12,14,4,3,3,6,7,24,4,8,8,4,4,3,1,6,3,
3,3,6,3,3,4,4,8,8,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,12,14,4,6,6,7,24,4,8,8,
4,4,1,3,6,3,3,3,6,3,3,4,4,8,8,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,2,24,4,6,1,
12,24,4,8,8,4,4,4,6,3,3,3,6,6,4,4,8,8,4,1,3,6,6,3,1,4,3,1,1,1,1],[1,1,2,24,4,
3,3,1,12,24,4,8,8,4,4,1,3,6,3,6,6,6,4,4,8,8,4,1,3,6,6,3,1,4,3,1,1,1,1],[1,1,2,
24,4,3,3,1,12,24,4,4,4,8,8,1,3,6,3,6,6,6,8,4,4,8,4,1,3,6,6,3,1,4,3,1,2,1],[1,
1,2,24,4,3,3,1,12,24,4,4,4,8,8,1,3,6,3,6,6,6,8,4,4,8,4,1,3,6,6,3,1,4,3,1,2,
1],[1,1,2,24,4,3,3,1,12,24,4,8,8,8,1,3,6,3,6,6,6,4,4,16,4,1,3,6,6,3,1,4,3,1,2,
1],[1,1,2,24,4,6,1,12,24,4,8,8,4,4,4,6,3,3,3,6,6,4,4,8,8,4,1,3,6,6,3,1,4,3,1,
1,1,1],[1,1,2,24,4,3,3,1,12,24,4,8,8,4,4,1,3,6,3,6,6,6,4,4,8,8,4,1,3,6,6,3,1,
4,3,1,1,1,1],[1,1,2,4,1,1,3,3,6,1,4,8,1,3,1,3,3,4,4,4,1,3,3,1,4,1,1,1],[1,1,2,
4,6,4,4,1,4,4,4,1,3,3,4,4,4,4,1,3,3,1,4,1,1,1],[1,1,2,4,3,3,1,1,6,1,4,4,4,1,3,
3,1,3,4,4,4,1,3,3,1,4,1,1,1],[1,1,2,12,1,4,4,1,6,1,2,2,2,3,1,3,3,1,1,6,3,3,3,
1,1,1,1,1,1,1,3,1,3,3,3,3,3,1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,1,18,
1,5,9,9,1,6,7,1,3,15,1,3,9,1,2,2,3,3,3,3,3,3,1,3,3,1,1,2,1,1,3,1,3,2,3,1,1,1,
1,1,1,1,1],[1,1,18,1,14,9,1,6,1,1,9,15,1,3,9,3,5,3,3,3,3,3,1,3,3,1,1,3,1,3,1,
5,3,1,1,1,1,1,1,1,1],[1,1,4,30,1,2,4,2,15,24,1,4,2,8,1,6,3,6,1,3,6,6,3,3,1,1,
2,1,1,4,8,2,3,3,1,3,3,3,3,2,1,1,1,2,1,1,1,1,2,2,3,1,1,1,1,1,1,1,1],[1,1,4,30,
1,3,3,2,15,24,1,4,4,6,1,6,9,1,3,6,9,3,1,1,3,2,3,8,2,3,3,1,3,3,3,3,2,1,1,1,3,1,
1,3,2,3,1,1,1,1,1,1,1,1],[1,1,6,12,1,1,9,3,6,1,6,4,1,3,3,6,6,6,3,3,2,1,3,2,3,
1,3,3,3,3,3,3,2,1,1,1,3,3,1,1,2,3,1,1,1,1,1,1,1,1],[1,1,6,12,4,1,9,3,3,6,3,4,
6,12,4,4,4,1,3,3,6,3,3,6,6,6,6,4,4,4,1,1,3,3,3,3,3,3,1,1,1,4,3,1,1,1,1],[1,1,
6,1,3,5,3,1,6,1,3,1,5,1,1,3,3,5,3,1,1,1,1,1,1,1,1,1,3,1,1,5,3,1,1,1,1,1,1,1,1,
1],[1,1,4,18,1,5,7,2,9,24,1,4,4,2,7,3,6,9,1,3,6,3,1,1,2,2,1,2,1,8,2,3,3,1,3,3,
3,3,2,1,2,1,1,1,1,1,1,2,2,3,1,1,1,1,1,1,1,1],[1,1,4,18,1,12,2,9,24,1,4,2,4,1,
9,6,9,1,3,6,3,1,3,3,1,2,8,2,3,3,1,3,3,3,3,2,1,3,1,1,1,1,3,2,3,1,1,1,1,1,1,1,
1],[1,1,18,12,4,1,3,12,9,16,6,12,4,8,8,4,3,3,3,6,6,6,12,12,4,4,4,1,1,3,3,3,3,
3,3,4,1,2,2,3,1,1,1,1],[1,1,6,20,4,6,12,3,4,10,36,4,8,8,1,9,8,3,6,12,12,12,4,
4,4,1,1,3,3,3,3,3,3,4,1,2,2,3,1,1,1,1],[1,1,26,4,6,12,13,40,4,8,8,10,8,3,6,12,
24,4,4,4,1,1,3,6,3,6,4,1,2,2,3,1,1,1,1],[1,1,2,36,1,1,7,1,18,24,1,2,4,8,3,6,1,
6,1,1,6,6,3,6,2,1,1,2,4,8,1,3,3,3,3,1,3,3,2,1,1,1,1,2,1,1,1,2,2,3,1,1,1,1,1,1,
1,1],[1,1,14,24,4,3,3,6,7,28,12,24,48,4,8,8,4,4,7,8,6,12,12,12,3,3,6,6,12,12,
24,4,4,8,8,4,1,1,3,3,6,6,12,12,1,2,1,1,2,4,3,1,1,2,1,2,1],[1,1,18,20,4,3,3,6,
9,16,10,36,48,4,8,8,4,4,4,9,8,12,12,12,3,3,6,6,12,12,12,12,4,4,8,8,4,1,1,3,3,
3,3,6,12,12,1,2,1,1,2,4,3,1,1,1,2,2,1],[1,1,2,24,1,3,3,1,12,24,1,2,4,4,1,3,6,
3,6,6,6,3,3,2,2,8,1,1,3,6,6,3,1,3,1,2,1,3,1,1,2,3,1,1,1,1,1,1,1,1],[1,1,2,24,
1,3,3,1,12,24,1,1,1,4,4,1,3,6,3,6,6,6,3,3,4,2,2,4,1,1,3,6,6,3,1,3,1,1,2,3,1,1,
2,3,1,1,1,1,1,1,1,1],[1,1,30,1,2,6,15,1,6,4,1,1,9,6,1,3,6,3,9,1,2,3,3,2,3,3,3,
3,1,3,3,1,1,1,2,3,1,1,3,2,3,1,1,1,1,1,1,1,1],[1,1,30,1,3,5,15,1,10,1,1,15,1,3,
9,9,1,5,5,3,3,3,3,1,3,3,1,1,1,3,3,1,5,3,1,1,1,1,1,1,1,1],[1,1,14,8,4,1,3,7,28,
4,24,4,8,8,7,8,6,8,3,3,4,12,4,4,4,1,1,1,1,6,6,1,2,2,4,1,1,1,1,1],[1,1,2,20,4,
1,3,1,10,12,40,4,8,8,3,10,8,8,3,3,1,3,3,3,6,4,4,4,1,1,1,1,3,3,3,3,1,2,2,4,1,1,
1,1,1],[1,1,18,1,12,9,1,12,9,9,24,4,12,9,4,12,12,1,12,1,1,1,1],[1,1,54,3,4,6,
27,3,4,6,54,36,36,54,54,3,6,4,27,36,54,3,6,4,9,18,9,18,12,12,1,9,18,12,1,1,1,
1],[1,1,3,4,6,3,3,4,6,3,6,4,1,6,6,3,6,4,1,2,2,3,1,1],[1,9,1,12,9,9,12,4,9,12,
1,1,1],[1,9,1,12,9,9,12,4,9,12,1,1,1],[1,1,3,4,6,9,3,4,6,3,6,4,6,6,9,3,6,4,1,
1,6,6,1,1],[1,1,6,3,4,6,3,3,4,6,6,6,6,6,2,3,6,4,1,3,6,3,3,6,4,6,2,2,2,2,1,1,1,
2,3,1,2,1],[1,9,18,1,12,27,9,18,12,6,18,4,9,18,2,12,6,1,6,1,2,1],[1,9,18,1,12,
27,9,18,12,6,18,4,9,18,2,12,6,1,6,1,2,1],[1,9,18,1,12,27,9,18,12,3,3,9,9,4,9,
9,9,1,1,12,3,3,1,3,3,1,1,1,1],[1,1,18,3,4,6,9,3,4,6,18,6,6,6,6,3,6,4,3,3,6,9,
3,6,4,2,6,6,6,6,1,3,3,6,1,1,2,1],[1,3,36,3,4,6,27,3,3,3,3,9,3,27,1,39,3,3,54,
3,6,4,9,9,9,9,9,3,9,18,12,1,1,1,1,1,3,3,3,3,1,3,3,3,3,3,1,1,1,1],[1,3,36,3,4,
6,27,3,3,3,3,9,3,27,1,3,39,3,54,3,6,4,9,9,9,9,9,3,9,18,12,1,1,1,1,1,3,3,3,3,1,
3,3,3,3,3,1,1,1,1],[1,1,18,1,12,9,1,12,18,3,3,9,9,4,3,9,9,4,1,1,3,3,1,3,1,1,1,
1,1],[1,1,18,1,3,9,1,3,18,3,3,1,3,3,9,1,3,3,1,1,3,1,3,1,1,1,1,1],[1,1,14,7,28,
8,7,8,8,1,1,1],[1,1,14,7,28,8,7,8,8,1,1,1],[1,1,10,15,6,10,5,6,10,6,5,1],[1,1,
10,15,6,10,5,6,10,6,5,1],[1,1,10,15,6,10,5,6,10,6,5,1],[1,1,1,5,1,1,5,1,5,1,1,
5,1,1,1,1],[1,1,30,1,3,5,15,1,1,10,15,1,6,1,5,5,1,1,3,3,5,1,2,3,1,1,1,1],[1,1,
1,5,1,1,15,1,5,1,1,5,1,3,1,1],[1,1,30,10,15,20,6,10,10,10,5,6,12,10,5,6,5,1,
1],[1,1,14,56,7,21,7,28,28,168,224,7,21,28,7,8,42,56,56,64,112,21,21,84,84,28,
84,42,42,84,1,7,8,14,7,7,28,28,7,42,56,28,28,84,84,42,42,84,84,84,21,21,42,42,
84,84,168,168,7,21,28,28,84,42,42,84,21,21,84,84,7,42,56,7,21,28,7,1],[1,1,14,
24,1,19,6,6,12,7,12,12,24,12,12,2,6,3,6,7,15,6,6,12,12,12,12,24,24,24,12,24,
12,12,12,24,24,3,3,2,3,6,12,6,4,4,8,8,12,12,12,12,24,3,6,9,6,6,18,3,6,6,6,3,
12,12,12,12,1,2,3,6,2,6,3,6,6,3,9,3,6,3,6,6,12,6,6,12,12,12,12,12,1,3,6,6,3,6,
6,1],[1,1,14,24,3,9,4,4,24,7,12,12,24,1,3,1,3,12,12,3,6,9,9,4,12,12,12,12,12,
24,24,12,12,6,6,6,6,12,12,12,12,24,24,1,1,3,3,3,6,12,6,6,6,12,4,4,6,6,12,8,8,
12,12,3,6,12,3,9,12,3,3,6,3,3,3,6,6,6,6,12,6,6,6,1,3,2,3,3,3,1,4,3,6,3,6,9,3,
6,3,6,3,6,3,6,3,3,6,6,12,6,6,6,6,6,6,6,1,3,6,3,3,3,6,3,3,1],[1,1,30,24,3,17,
15,60,12,24,96,1,3,20,15,6,24,24,24,17,45,12,12,4,4,12,12,6,6,24,60,6,1,15,15,
6,20,60,8,8,6,6,12,3,6,6,45,12,12,24,24,4,4,12,12,4,4,4,6,6,12,12,12,6,10,4,4,
8,15,2,3,3,6,4,4,4,6,6,6,6,6,12,12,12,12,12,12,12,1,1,1,4,4,4,4,6,6,1],[1,1,
14,40,5,15,7,12,20,40,32,96,2,10,4,8,3,10,8,24,24,24,11,11,28,36,2,2,4,16,24,
16,12,16,24,12,6,2,1,1,4,8,3,10,8,4,4,4,4,8,8,16,8,8,12,24,8,12,1,4,6,8,2,3,8,
4,12,12,8,16,24,24,2,2,4,2,2,4,4,4,4,4,2,2,4,2,1,1,2,2,2,2,4,4,4,4,2,2,4,4,4,
4,4,1,1,4,4,4,8,4,2,4,1,2,4,1,4,8,3,6,2,2,4,2,2,1,1,2,4,4,1,1,2,2,1,1,2,2,2,2,
2,2,2,4,2,2,4,4,4,4,4,4,2,2,4,4,2,2,4,4,2,2,4,4,4,4,4,1,1,1,2,2,4,2,2,4,1,1,2,
2,1,1,2,2,1],[1,1,38,8,1,15,24,19,84,4,24,20,21,8,6,8,15,45,12,4,12,60,48,48,
1,1,15,15,20,60,6,6,6,6,45,12,12,6,12,12,6,10,15,1,6,6,3,6,6,12,12,1,3,3,4,4,
1],[1,1,2,8,4,18,6,6,1,4,6,12,12,2,6,9,6,12,12,4,6,3,3,2,4,4,6,9,18,12,12,6,1,
6,3,9,6,6,1,3,3,1],[1,1,2,8,22,6,6,1,4,2,12,16,2,6,9,6,12,4,8,4,2,4,3,3,2,4,4,
2,4,9,18,4,8,4,8,2,4,1,6,1,2,9,2,4,2,4,1,1,2,1,2,1],[1,1,10,22,6,6,5,18,12,2,
6,21,6,12,10,3,7,2,10,9,18,12,12,6,1,6,3,9,6,6,1,3,3,1],[1,1,26,8,4,6,12,13,
56,4,6,4,8,14,16,3,6,12,12,4,6,12,24,2,1,2,4,4,6,3,3,6,12,6,6,12,12,1,3,3,6,6,
6,6,1,3,3,1],[1,1,26,8,10,12,13,56,4,2,8,8,14,16,3,6,12,4,8,4,2,4,12,24,2,1,2,
4,4,2,4,3,3,6,4,8,2,4,6,12,4,8,1,1,2,3,6,2,4,6,2,4,1,1,2,1,2,1],[1,1,2,32,4,6,
12,1,16,24,32,6,4,8,6,8,16,3,6,12,12,4,6,12,24,2,1,2,4,4,6,3,3,6,12,6,6,6,6,
12,1,3,3,6,6,6,6,1,3,3,1],[1,1,2,32,10,12,1,16,24,32,2,8,8,6,8,16,3,6,12,4,4,
4,4,2,4,12,24,2,1,2,4,4,2,4,3,3,6,4,4,4,2,2,2,6,6,6,4,4,4,1,1,1,1,3,6,2,2,2,6,
2,2,2,1,1,1,1,1,1,1,1],[1,1,10,24,10,12,5,8,12,48,2,8,8,2,12,16,3,6,12,8,4,4,
2,4,8,4,8,16,2,1,2,4,4,2,4,1,2,2,2,1,4,4,8,2,4,2,4,4,4,4,4,8,1,1,2,2,2,1,4,2,
4,2,4,2,4,1,1,2,1,2,1],[1,1,10,24,4,6,12,5,8,12,48,6,4,8,2,12,16,3,6,12,4,8,4,
6,8,4,8,16,2,1,2,4,4,6,1,2,2,2,1,4,4,8,2,4,2,4,4,4,4,4,8,1,1,2,2,2,1,4,2,4,2,
4,2,4,1,1,2,1,2,1],[1,1,10,24,10,12,5,8,12,48,2,8,8,2,12,16,3,6,12,4,8,4,2,4,
8,4,8,16,2,1,2,4,4,2,4,1,2,2,2,1,4,4,4,4,2,4,2,4,4,4,4,4,4,4,1,1,2,2,2,1,4,2,
2,2,2,4,2,2,2,1,1,1,1,1,1,1,1],[1,1,14,56,1,3,6,6,12,7,28,28,72,96,7,8,18,8,
24,24,24,3,3,6,6,12,12,4,12,12,12,24,24,24,24,24,48,48,48,48,48,48,1,1,6,1,6,
3,3,4,12,6,6,6,6,6,12,12,12,12,12,12,24,24,24,24,24,24,24,24,24,24,1,3,6,6,12,
3,4,6,6,6,6,8,8,12,12,24,24,1,3,3,4,4,1],[1,1,14,8,1,3,7,28,4,24,7,8,6,8,3,3,
6,6,12,4,12,1,1,1,6,6,6,3,3,6,6,6,6,1,3,3,6,6,6,6,1,3,3,1],[1,1,14,8,1,11,2,2,
4,7,12,4,8,4,4,3,2,7,11,2,2,4,4,4,4,8,8,8,4,12,8,8,1,1,3,2,2,4,4,4,4,1,1,2,4,
1,2,3,4,4,4,8,8,4,4,1,1,1,1,1,1,1,4,4,4,4,4,1,2,2,2,1],[1,1,14,8,1,3,2,2,12,7,
12,4,8,4,4,3,2,3,3,2,6,8,8,4,4,4,4,4,4,4,4,4,4,12,4,8,1,1,1,2,4,4,4,4,4,1,2,1,
2,2,2,1,3,2,2,4,2,2,4,2,2,4,4,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,1,1,1,
2,2,1],[1,1,14,8,1,11,2,2,4,7,12,4,8,4,4,3,2,7,11,2,2,4,4,4,4,16,8,4,12,8,8,1,
1,3,2,2,4,4,4,4,1,1,2,4,1,2,3,4,8,8,8,4,4,1,1,4,1,1,1,1,1,4,4,4,4,2,2,2,1,1],[
1,1,14,8,1,11,2,2,4,7,12,4,8,4,4,3,2,7,11,2,2,4,4,4,4,8,8,8,4,12,8,8,1,1,3,2,
2,4,4,4,4,1,1,2,4,1,2,3,4,4,4,8,8,4,4,1,1,2,2,1,1,1,1,1,4,4,4,4,2,2,1,1,1,1],[
1,1,14,8,1,11,2,2,4,7,12,4,8,4,4,3,2,7,11,2,2,4,4,4,4,8,8,8,4,12,8,8,1,1,3,2,
2,4,4,4,4,1,1,2,4,1,2,3,4,4,4,8,8,4,4,1,1,2,2,1,1,1,1,1,4,4,4,4,1,1,2,2,1,1],[
1,1,6,16,1,11,2,2,4,3,4,8,16,4,4,1,4,3,7,2,2,8,8,4,4,4,12,8,4,12,4,4,4,4,1,1,
1,4,2,4,4,4,4,1,1,2,4,1,3,2,2,2,2,6,4,4,4,4,4,2,2,1,1,1,3,1,1,1,1,1,2,2,2,2,2,
2,2,2,1,1,1,1,1,1,1,1],[1,1,6,16,1,11,2,2,4,3,4,8,16,4,4,1,4,3,7,2,2,8,8,4,4,
4,8,4,8,4,12,4,4,4,4,1,1,1,4,2,4,4,4,4,1,1,2,4,1,3,2,2,2,4,4,2,2,4,4,4,4,2,2,
1,1,2,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,8,3,5,6,6,20,3,4,
4,8,1,3,1,2,5,3,6,10,12,4,4,12,8,8,4,4,4,4,2,2,1,1,2,4,6,2,2,4,3,2,6,3,4,12,
10,1,2,4,2,2,4,2,4,1,2,3,4,2,1,2,2,2,2,2,2,2,2,2,4,1,1,1,2,2,1],[1,1,6,8,1,7,
8,8,16,3,4,4,8,1,3,1,2,3,5,8,8,12,4,4,12,8,8,4,4,2,2,4,4,1,1,2,4,6,2,2,4,3,2,
5,4,3,12,8,3,1,2,2,2,4,4,2,2,2,1,1,1,3,4,2,1,2,2,2,2,2,2,2,2,1,1,2,2,1,1,1,2,
2,1],[1,1,22,8,1,7,8,11,36,4,24,4,9,8,6,8,7,9,4,4,4,8,4,12,12,16,16,1,1,1,3,4,
4,2,2,6,6,3,4,4,4,6,6,4,4,4,12,2,4,4,1,1,2,2,2,1,4,4,2,6,2,4,4,2,2,4,1,1,1,2,
2,1],[1,1,2,24,14,2,2,8,1,12,16,2,4,8,4,5,2,4,12,8,8,4,8,4,2,12,8,4,4,1,1,4,4,
4,2,4,2,2,1,2,4,2,2,2,4,8,4,4,2,4,8,8,1,2,1,2,2,1,4,2,4,2,2,4,4,1,1,2,2,1,1],[
1,1,2,24,4,10,2,2,8,1,12,16,6,4,4,4,5,2,4,12,8,8,4,8,4,6,8,8,4,4,1,1,4,4,4,6,
2,2,1,2,4,2,2,2,4,8,4,2,4,4,8,8,1,1,2,2,2,1,4,2,4,2,2,4,4,1,1,2,2,1,1],[1,1,2,
24,14,2,2,8,1,12,16,2,4,8,4,5,2,4,12,8,8,4,8,4,2,12,8,4,4,1,1,4,4,4,2,4,2,2,1,
2,4,2,2,2,4,4,4,4,2,4,4,8,4,4,1,1,2,2,2,1,4,2,2,2,2,2,2,2,4,1,1,1,1,1,1,1,1],[
1,1,10,16,4,10,2,2,8,5,8,8,8,6,4,4,2,2,5,2,4,4,12,4,4,4,4,4,4,4,8,6,4,4,4,4,1,
1,4,2,2,4,6,1,3,1,2,4,1,2,1,2,4,4,4,4,2,2,2,4,2,6,4,4,1,1,1,1,1,2,1,1,2,2,2,2,
2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,10,16,14,2,2,8,5,8,8,8,2,4,8,2,2,5,2,4,4,
12,4,4,4,8,4,12,2,4,4,4,4,4,1,1,4,2,2,4,2,4,1,3,1,2,4,1,2,1,2,4,4,4,4,4,2,4,2,
6,4,4,1,2,1,1,2,1,1,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,10,16,14,2,2,
8,5,8,8,8,2,4,8,2,2,5,2,4,4,12,4,4,4,8,4,12,2,4,4,4,4,4,1,1,4,2,2,4,2,4,1,3,1,
2,4,1,2,1,2,4,4,4,4,4,2,4,2,6,4,4,1,2,1,1,2,1,1,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,
1,1,1,1],[1,1,10,16,14,2,2,8,5,8,8,8,2,4,8,2,2,5,2,4,4,12,4,4,4,12,12,2,4,4,4,
4,4,1,1,4,2,2,4,2,4,1,3,1,2,4,1,2,1,2,4,4,4,4,6,4,2,6,4,4,1,3,1,2,1,1,2,2,2,2,
2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,10,16,14,2,2,8,5,8,16,10,4,4,17,2,4,8,8,
12,8,8,4,4,10,1,5,4,10,2,2,1,2,4,2,2,2,4,8,4,6,4,8,8,1,3,2,2,1,4,2,4,2,2,4,4,
1,1,2,2,1,1],[1,1,14,24,5,15,2,2,4,7,12,12,24,32,2,10,4,8,3,6,8,11,11,2,2,4,
20,28,4,4,4,8,16,12,8,16,12,8,8,2,1,1,4,8,3,6,8,2,4,4,4,4,16,8,4,8,16,8,12,1,
1,2,4,1,2,4,2,3,4,8,4,8,16,4,4,4,4,4,4,4,2,2,4,4,4,4,4,1,1,4,4,2,4,1,2,1,4,8,
1,1,1,1,1,1,1,4,2,2,2,2,2,2,2,2,4,2,2,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,
14,24,1,19,2,2,4,7,12,12,24,32,4,4,16,3,6,8,7,15,2,2,4,36,12,4,8,24,12,24,12,
8,8,3,1,12,3,6,8,2,4,4,4,4,24,12,24,12,1,1,2,4,3,6,3,4,12,24,8,8,8,4,4,4,4,4,
8,6,4,6,1,3,12,2,1,1,1,1,1,4,4,2,4,4,2,4,4,4,4,8,1,1,2,1,2,2,2,2,2,1],[1,1,6,
32,1,19,2,2,4,3,4,16,32,32,4,4,16,1,8,8,3,11,2,2,40,16,4,4,4,4,24,12,24,12,4,
4,4,4,3,1,12,1,8,8,2,4,4,4,4,24,12,24,12,1,1,2,4,3,3,6,2,2,12,24,4,4,4,4,4,4,
2,2,4,4,4,2,2,4,4,6,4,6,1,3,12,1,1,1,1,1,1,1,2,2,4,2,2,2,2,2,2,2,2,2,2,4,2,2,
4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,6,32,5,15,2,2,4,3,4,16,32,32,2,10,4,8,1,8,8,
7,7,2,2,24,32,4,4,4,4,8,16,12,8,16,12,4,4,4,4,2,1,1,4,8,1,8,8,2,4,4,4,4,16,8,
4,8,16,8,12,1,1,2,4,1,2,3,4,2,2,2,8,4,8,16,4,4,4,4,4,4,2,2,4,4,4,2,2,4,4,1,1,
4,4,2,4,1,2,1,4,8,1,1,1,1,1,1,1,2,2,4,2,2,2,2,2,2,2,2,2,2,4,2,2,4,4,1,1,1,1,1,
1,1,2,2,2,2,1],[1,1,30,8,1,19,2,2,4,15,60,4,8,20,4,15,2,15,47,2,2,4,4,4,4,8,8,
4,60,8,8,1,15,15,2,2,20,60,4,4,1,1,2,4,1,2,45,4,8,8,8,4,4,4,4,4,8,6,10,15,1,2,
1,1,1,1,1,4,4,2,4,4,2,4,4,4,4,8,1,1,2,1,2,2,2,2,2,1],[1,1,14,24,3,9,16,7,12,
12,24,96,1,3,4,3,6,24,24,24,9,9,8,12,12,8,12,12,6,6,24,12,6,1,1,3,6,4,4,8,8,6,
6,12,4,4,3,6,6,3,12,12,24,24,4,4,4,4,4,4,8,1,2,3,3,6,2,2,2,4,4,2,4,8,1,1,1,2,
2,1],[1,1,6,40,3,5,2,2,12,3,4,20,40,64,1,3,1,10,16,16,16,5,3,2,6,4,4,4,4,8,8,
8,4,4,10,10,16,16,16,16,16,4,1,1,2,4,2,2,2,4,1,2,6,1,6,5,4,2,8,8,8,8,8,8,8,8,
8,8,4,4,4,2,4,8,8,1,2,4,2,1,2,2,2,4,1,2,2,4,2,4,4,4,4,4,4,4,8,1,1,1,2,2,4,4,
1],[1,1,6,40,1,7,4,4,8,3,4,20,40,64,1,3,1,10,16,16,16,3,5,4,4,4,4,4,4,8,8,8,8,
8,16,2,2,4,4,16,16,16,16,4,1,1,2,4,2,2,2,4,1,2,3,3,4,3,4,4,1,2,8,8,8,8,8,8,8,
8,8,8,4,4,4,2,2,2,8,8,1,2,4,1,1,1,2,2,2,4,1,2,2,2,2,1,1,2,2,4,4,4,4,4,4,4,4,1,
1,1,2,2,2,2,2,2,1],[1,1,6,40,5,11,8,3,4,20,40,32,32,2,10,8,1,10,8,8,8,8,7,5,4,
20,28,8,8,16,16,12,16,8,16,16,2,2,1,4,8,1,6,8,4,4,16,8,4,8,16,8,12,2,2,1,4,2,
4,2,4,4,8,4,4,4,8,16,8,8,4,4,4,2,4,4,8,8,1,1,4,4,2,4,2,1,4,8,1,2,2,2,1,2,4,4,
2,4,4,4,4,4,4,4,4,1,1,1,2,2,4,2,2,1],[1,1,6,40,1,15,8,3,4,20,40,32,32,4,16,1,
10,8,8,8,8,3,9,4,36,12,4,4,24,4,16,24,8,16,16,2,3,12,1,6,8,4,4,24,12,24,12,2,
2,3,2,2,6,4,4,12,4,4,24,8,8,4,2,2,4,2,4,4,8,8,6,4,6,3,12,1,1,1,2,2,1,2,4,4,2,
4,4,4,8,4,4,4,1,1,1,2,2,4,2,2,1],[1,1,14,32,5,11,8,7,12,16,32,32,32,2,10,8,3,
8,8,8,8,8,7,5,4,20,28,4,4,12,20,12,8,16,4,4,8,8,16,2,2,1,4,8,1,6,8,4,4,16,8,4,
8,16,8,12,1,1,2,1,2,1,6,2,1,2,4,2,8,4,8,16,4,4,4,4,4,4,2,2,4,4,2,2,2,4,4,4,4,
4,1,1,4,4,2,4,2,1,4,8,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,2,2,4,1,1,
1,1,1,1,1,2,2,2,2,1],[1,1,14,32,1,15,8,7,12,16,32,32,32,4,16,3,8,8,8,8,8,3,9,
4,36,12,4,4,4,28,12,24,4,4,8,8,16,2,3,12,1,6,8,4,4,24,12,24,12,1,1,2,3,1,2,6,
1,2,4,2,12,24,4,4,4,4,4,4,2,2,4,4,2,2,2,4,4,4,4,4,6,4,6,3,12,1,1,1,1,1,1,1,1,
2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,2,2,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,14,8,1,11,2,
2,20,7,12,4,8,4,4,3,2,7,11,2,10,4,4,4,4,4,4,8,4,12,8,8,1,1,3,2,2,4,4,4,4,1,4,
4,1,2,4,1,2,3,4,4,6,6,12,4,4,4,1,1,1,1,1,1,1,2,4,4,6,4,4,4,4,4,1,1,1,2,2,1],[
1,1,14,24,3,9,7,28,12,72,32,1,3,4,7,8,18,24,8,16,9,9,12,12,4,4,8,12,36,6,6,12,
1,3,2,1,1,3,6,6,6,12,12,12,3,3,18,18,24,24,4,2,2,4,4,4,4,8,8,8,8,4,12,3,3,3,6,
1,1,2,4,4,8,2,2,4,4,2,2,4,4,1,2,1,1,2,2,4,2,1],[1,1,22,40,3,13,2,2,12,11,36,
20,88,32,96,1,3,4,4,9,8,22,24,8,16,24,24,24,13,15,2,6,4,20,20,4,8,8,20,44,10,
10,12,24,8,8,12,16,16,16,16,32,32,1,3,2,6,1,1,1,5,10,4,2,4,4,8,8,10,10,20,12,
12,1,2,6,1,6,4,3,5,6,22,18,4,4,3,4,8,8,8,12,12,24,24,24,24,8,8,16,8,8,16,16,
16,2,4,8,8,8,4,4,8,4,12,1,2,5,3,3,6,3,6,2,2,4,4,2,1,2,2,1,1,1,2,1,2,2,2,2,4,8,
1,2,2,2,4,4,4,4,4,4,2,4,8,4,8,8,4,8,4,1,1,1,2,1,2,1,2,1,2,1,4,4,4,4,1],[1,1,
22,40,1,7,4,4,16,11,36,20,88,32,96,1,3,4,4,9,8,22,24,8,16,24,24,24,3,5,4,8,12,
4,4,12,24,24,8,24,4,4,8,16,14,14,8,28,28,20,20,40,40,1,3,2,6,1,1,1,1,2,12,6,4,
4,10,10,12,8,8,20,12,1,2,2,3,5,4,3,2,2,4,8,8,5,7,2,5,10,10,14,4,4,8,8,8,8,16,
16,32,16,16,32,32,32,4,8,6,6,6,4,4,4,8,12,1,2,3,5,1,2,1,2,4,4,8,8,1,1,1,2,1,2,
1,1,2,2,2,2,4,2,3,6,1,2,2,2,4,4,4,4,4,3,1,2,6,4,2,4,2,6,2,4,2,6,6,4,1,1,1,2,1,
2,1,2,1,2,1,2,2,2,4,2,2,2,1],[1,1,14,40,1,11,2,2,4,7,12,20,40,64,4,4,3,10,16,
16,16,7,11,2,2,4,4,4,4,4,4,8,8,8,4,16,12,8,8,16,16,16,16,4,1,1,3,2,2,4,4,4,4,
1,1,2,4,1,4,4,2,3,4,8,8,8,8,8,8,8,8,8,8,8,8,4,2,2,4,4,4,8,8,8,8,1,1,2,4,1,1,1,
1,1,2,2,4,2,2,2,4,4,4,8,4,4,8,4,4,4,4,4,1,1,1,2,2,2,2,2,2,1],[1,1,14,40,1,3,2,
2,12,7,12,20,40,64,4,4,3,10,16,16,16,3,3,2,6,8,8,4,4,4,4,4,4,8,8,16,4,4,12,4,
16,8,16,16,16,4,1,1,1,2,4,4,4,4,4,1,2,1,2,2,4,4,2,1,3,2,2,8,8,8,8,8,8,8,8,8,8,
8,8,2,2,4,4,2,2,2,2,8,8,8,8,1,1,2,4,1,1,1,1,2,2,1,4,2,2,2,2,2,4,4,4,4,8,8,4,4,
2,2,4,4,1,1,1,2,2,2,2,2,2,1],[1,1,14,8,1,11,6,6,12,7,12,4,8,4,4,3,2,7,11,6,6,
12,4,4,12,8,8,4,12,8,8,1,1,3,2,6,4,4,4,4,3,3,4,12,6,4,1,2,3,4,4,4,4,4,4,1,1,1,
1,1,3,4,1,2,4,4,4,4,4,4,4,1,1,1,2,2,1],[1,1,14,8,1,3,6,6,20,7,12,4,8,4,4,3,2,
3,3,6,10,16,16,4,4,8,4,4,4,4,12,4,8,1,1,1,2,8,4,4,4,4,3,2,3,4,2,12,6,2,1,3,2,
2,4,4,4,2,2,2,2,1,1,1,1,1,3,4,1,2,4,4,4,4,2,2,2,2,2,2,1,1,1,2,2,1],[1,1,14,24,
1,3,2,2,4,7,28,12,40,32,7,8,10,8,8,8,8,3,3,2,2,4,4,4,4,8,4,12,4,4,8,8,8,8,8,
16,16,1,1,2,1,2,1,1,2,2,2,6,6,4,4,4,4,4,4,8,8,8,8,4,2,2,4,4,4,4,1,1,2,2,1,2,2,
4,2,2,2,2,4,4,4,4,4,1,1,1,2,2,1],[1,1,14,24,1,3,2,2,4,7,28,12,40,32,7,8,10,8,
8,8,8,3,3,2,2,4,4,4,4,8,4,12,4,4,8,8,8,8,8,16,16,1,1,2,1,2,1,1,2,2,2,6,6,4,4,
4,4,4,4,8,8,8,8,2,2,4,4,4,4,4,1,1,2,2,1,2,2,4,2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,
1],[1,1,14,8,1,11,2,2,4,7,12,4,8,4,4,3,2,7,11,2,2,4,4,4,4,16,8,4,12,8,8,1,1,3,
2,2,4,4,4,4,1,1,2,4,1,2,3,4,8,8,8,4,4,1,1,1,1,1,1,1,4,4,4,4,4,1,2,2,2,1],[1,1,
14,8,1,3,2,2,12,7,12,4,8,4,4,3,2,3,3,2,6,8,8,4,4,8,8,4,4,4,4,12,4,8,1,1,1,2,4,
4,4,4,4,1,2,1,2,2,2,1,3,2,2,4,4,4,4,4,4,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,4,2,2,2,
2,1,1,1,2,2,1],[1,1,30,24,1,11,2,2,20,15,60,12,56,64,4,4,8,8,15,16,14,16,16,
16,16,7,11,2,10,12,4,4,12,8,8,8,32,4,8,20,16,16,40,8,16,48,2,2,4,1,1,2,2,3,2,
4,6,4,4,4,4,8,8,8,8,3,6,4,1,4,2,4,1,2,12,14,2,5,10,12,4,8,8,8,16,16,16,16,8,8,
8,8,16,1,2,1,2,2,2,4,4,1,2,2,4,4,3,6,8,1,2,1,1,2,6,2,2,2,4,4,8,4,8,4,4,4,4,4,
4,4,8,4,4,8,8,1,1,2,2,2,4,4,1,2,2,4,2,4,1],[1,1,14,40,1,11,2,2,20,7,12,20,72,
32,64,4,4,8,8,3,18,16,8,16,16,16,16,3,7,2,10,4,8,8,4,16,16,4,20,4,4,12,24,8,8,
4,8,8,8,24,48,32,2,2,4,1,1,2,2,1,4,8,2,4,4,4,4,8,8,8,8,3,6,4,1,4,2,4,3,2,6,2,
4,6,4,1,2,8,12,4,4,4,8,8,4,4,8,16,8,16,8,8,4,12,12,12,8,1,1,2,2,2,1,1,2,4,2,2,
4,4,8,3,1,2,6,1,2,1,3,1,1,4,2,1,3,2,6,2,4,6,6,6,8,2,2,2,2,2,2,6,4,6,2,4,6,4,2,
2,1,1,2,1,2,1,2,4,2,1,2,1,2,1,2,2,2,2,1],[1,1,14,8,1,11,2,2,36,7,12,4,8,4,4,3,
2,7,11,2,18,4,4,4,4,8,4,12,8,8,1,1,3,2,2,4,4,4,4,1,8,8,1,2,4,1,2,3,4,8,4,4,1,
1,1,1,1,1,1,4,4,4,8,1,2,2,2,1],[1,1,14,16,1,7,8,7,12,8,16,32,4,3,4,8,8,8,3,5,
4,4,4,4,12,4,12,4,4,4,8,8,16,2,1,1,2,4,4,1,1,2,1,1,2,2,1,2,4,2,4,4,2,6,4,4,4,
4,2,2,2,4,1,1,1,3,1,1,1,1,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,14,16,1,7,8,
7,12,8,16,32,4,3,4,8,8,8,3,5,4,4,4,8,4,4,4,12,4,4,4,8,8,16,2,1,1,2,4,4,1,1,2,
1,1,2,2,1,2,4,2,4,4,4,2,4,2,4,4,4,2,2,2,4,1,1,1,2,1,1,1,1,1,1,2,2,2,2,2,2,2,2,
1,1,1,1,1,1,1,1],[1,1,6,24,1,7,8,3,4,12,24,32,4,1,6,8,8,8,3,5,4,4,4,4,4,8,8,4,
4,4,8,16,16,2,1,1,2,4,4,2,2,1,2,2,2,4,4,4,4,2,2,4,4,4,4,4,2,4,4,1,1,1,1,2,2,2,
1,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,18,10,4,9,24,2,4,6,11,2,12,4,4,18,1,6,1,9,
4,4,4,2,4,4,1,2,1,2,2,2,1,1,1,1,1],[1,1,18,10,4,9,24,2,4,6,11,2,8,4,4,4,18,1,
6,1,9,4,4,4,2,4,4,1,2,1,2,2,2,1,1,1,1,1],[1,1,2,16,10,4,1,8,8,16,4,2,2,4,3,2,
8,12,4,4,4,4,10,1,4,2,1,1,4,4,4,4,2,4,4,4,1,2,1,2,2,2,1,1,1,1,1],[1,1,6,24,3,
5,8,3,4,12,24,32,1,3,1,6,8,8,8,5,3,4,4,4,2,2,12,4,4,6,6,8,2,1,1,2,2,2,4,2,2,3,
2,2,4,4,4,4,2,1,1,6,6,6,2,4,4,4,4,2,4,4,1,1,1,2,2,4,3,1,2,2,2,2,2,2,2,2,2,2,2,
2,4,1,1,1,1,1,1,1,1],[1,1,2,16,18,6,6,1,8,16,12,12,2,6,4,9,6,2,2,8,4,4,8,8,3,
3,2,9,18,2,4,4,4,4,4,8,8,2,4,6,9,1,1,2,2,2,4,4,1,1,1,2,2,1],[1,1,2,16,3,3,3,3,
18,1,8,16,1,3,1,3,12,12,4,3,3,9,4,2,2,4,4,4,4,4,4,4,1,1,3,3,9,9,9,2,2,2,4,4,4,
4,4,4,4,4,2,2,2,3,3,9,1,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,24,5,11,2,2,
12,3,4,12,24,32,2,10,8,1,6,8,7,5,2,6,4,20,28,4,8,8,2,2,4,8,16,12,8,16,2,1,4,8,
1,6,8,4,2,4,4,16,8,4,8,16,8,12,1,2,6,1,6,1,2,4,2,8,4,8,16,2,1,1,2,2,2,2,4,4,4,
4,2,4,1,1,4,4,2,4,2,1,4,8,2,1,2,1,2,2,2,4,1,1,2,2,1,1,2,2,2,2,2,1,1,2,2,4,1,1,
1,1,1,2,2,1,1,2,2,1],[1,1,14,8,3,9,2,2,20,7,12,4,8,1,3,4,3,2,9,9,2,10,4,4,4,4,
8,8,2,2,4,4,4,2,2,12,1,1,3,2,4,2,4,4,2,2,4,1,4,8,1,6,1,2,3,2,2,2,2,2,2,2,1,1,
2,2,2,2,4,4,2,2,1,1,2,1,2,2,2,2,1,1,1,1,2,2,2,2,2,4,1,1,2,4,2,2,1,1,1,1,1,1,1,
1],[1,1,10,14,2,2,5,10,4,17,2,12,8,10,1,5,10,1,4,4,4,4,2,4,1,2,1,1,2,2,2,1,1,
1,1],[1,1,10,14,2,2,5,10,4,17,2,8,4,8,10,1,5,10,1,4,4,4,4,2,4,1,2,1,1,2,2,2,1,
1,1,1],[1,1,2,8,4,10,2,2,1,4,6,4,4,5,2,12,4,8,8,4,6,1,1,4,4,6,1,4,4,4,2,4,4,1,
1,2,1,2,2,2,1,1,1,1],[1,1,2,8,14,2,2,1,4,2,4,8,5,2,12,4,8,8,4,2,4,1,1,4,4,2,4,
1,4,4,4,2,4,4,1,1,2,1,2,2,2,1,1,1,1],[1,1,18,24,14,4,9,24,12,48,2,2,8,6,12,11,
2,20,2,6,4,12,6,4,12,18,8,8,1,4,6,4,4,6,4,1,9,6,4,12,6,4,6,4,4,4,2,4,6,2,6,4,
4,4,12,6,4,1,1,2,1,1,1,2,2,2,4,2,2,1,2,1,6,2,6,4,2,4,6,2,6,4,1,2,2,2,1,1,2,2,
2,1],[1,1,18,24,4,10,4,9,24,12,48,6,2,4,6,12,11,2,20,6,2,4,12,10,12,18,8,8,1,
4,6,4,4,10,1,9,6,4,12,6,4,6,4,4,4,2,4,6,2,6,4,4,4,6,12,4,1,1,2,1,1,1,2,2,2,4,
2,2,1,2,1,6,2,6,4,2,4,6,2,6,4,1,2,2,2,1,1,2,2,2,1],[1,1,10,32,2,12,4,5,16,8,
16,48,1,1,10,2,4,12,15,2,6,10,4,4,4,6,6,4,6,8,12,10,8,8,5,10,2,2,2,2,3,3,1,1,
2,2,6,4,4,6,6,1,1,9,9,4,2,2,3,3,3,3,2,6,2,2,2,2,4,3,3,4,4,4,2,2,1,1,1,1,1,1,1,
1,1,1,1,3,3,1,1,2,1,1,1,1,1,1,3,3,2,2,2,2,2,6,2,2,2,1,1,3,3,2,2,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1],[1,1,14,24,3,9,7,12,12,24,32,1,3,4,3,6,8,8,8,9,9,4,4,4,4,8,
4,4,6,6,8,12,2,1,1,3,2,4,4,2,2,4,3,2,2,3,4,4,2,2,6,6,4,4,2,2,4,2,2,4,4,4,4,4,
4,4,4,6,6,4,4,1,1,1,2,2,2,4,2,1,1,2,2,2,2,2,2,2,1,1,2,2,2,2,2,2,6,2,2,2,2,2,2,
2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,14,24,1,11,7,12,12,24,32,4,4,3,6,8,8,8,7,11,
4,4,6,6,4,8,4,4,4,8,12,2,1,1,3,2,4,4,4,4,1,2,2,2,3,4,4,4,4,4,4,4,4,4,6,7,7,2,
2,2,14,4,4,4,4,4,1,1,1,1,1,4,4,2,2,1,7,2,2,2,2,2,2,4,2,2,4,2,2,2,2,2,2,2,4,1,
1,1,1,1,1,1,2,2,2,2,1],[1,1,10,16,6,20,5,8,8,16,4,2,4,3,10,10,2,4,4,4,8,8,1,1,
1,2,4,4,4,4,2,4,4,4,4,2,1,1,1,2,2,2,1,1,1,1],[1,1,10,16,6,20,5,8,8,16,4,2,4,3,
10,2,2,8,4,4,4,8,8,1,1,1,2,4,4,4,4,2,4,4,4,4,2,1,1,1,2,2,2,1,1,1,1],[1,1,22,
24,3,13,8,11,36,12,72,32,1,3,4,4,9,8,18,24,8,16,13,15,4,12,12,2,2,4,12,36,6,6,
12,12,16,16,1,3,2,1,1,1,5,6,4,4,6,6,12,12,12,2,2,3,3,18,18,3,4,4,24,24,2,2,4,
2,2,4,2,2,4,2,1,1,2,2,2,2,2,4,4,2,2,4,4,12,1,3,3,3,6,2,2,1,2,2,1,1,2,1,1,2,2,
2,2,2,2,2,2,1,1,2,2,2,4,2,2,4,1,1,1,1,1,2,2,1,1,2,2,1],[1,1,6,40,3,13,8,3,4,
20,56,80,1,3,4,4,1,14,8,20,16,24,3,5,4,22,22,2,2,4,6,18,12,12,24,12,8,16,8,1,
2,3,1,1,1,5,6,3,3,4,4,9,9,3,3,6,6,6,1,1,2,3,3,3,3,3,2,2,4,15,15,24,24,2,2,4,2,
2,2,2,2,2,4,1,1,2,2,2,2,2,2,2,4,2,2,2,2,2,1,3,3,3,6,1,3,3,3,6,1,1,1,1,1,1,1,2,
2,2,1,1,1,1,1,1,1,2,1,1,1,1,1,2,2,1,1,1,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1],[1,1,2,16,10,2,2,1,8,16,4,4,4,5,2,2,2,16,4,4,8,8,1,1,1,4,2,4,4,4,
4,4,4,4,2,2,2,1,1,1,2,2,1,1,1,1],[1,1,2,16,10,2,2,1,8,16,4,4,4,5,2,2,10,8,4,4,
8,8,1,1,1,4,2,4,4,4,4,4,4,4,2,2,2,1,1,1,2,2,1,1,1,1],[1,1,10,32,6,12,5,8,16,
48,16,4,8,2,12,16,4,3,6,2,2,4,4,4,12,4,8,8,16,8,2,1,2,1,2,2,2,1,4,2,4,4,4,8,8,
2,4,2,4,4,4,4,4,4,8,8,2,2,1,4,1,1,2,2,4,2,4,2,4,1,1,2,1,2,1],[1,1,10,32,6,12,
5,8,16,16,48,4,4,4,2,4,8,12,8,3,6,2,2,4,4,8,4,4,4,4,4,8,8,8,8,2,1,1,1,1,2,1,2,
1,1,2,2,2,4,4,4,4,4,4,4,2,4,2,4,4,4,4,4,4,4,4,4,4,1,1,2,2,1,2,1,1,2,2,2,2,2,2,
2,2,2,2,1,1,1,1,1,1,1,1],[1,1,26,16,6,12,13,56,8,16,4,8,14,16,4,3,6,2,2,4,4,4,
4,12,24,8,8,2,1,2,3,3,6,2,4,4,4,8,8,2,4,6,12,4,4,8,8,3,6,1,1,2,6,2,4,2,4,1,1,
2,1,2,1],[1,1,18,16,10,28,9,24,8,48,2,4,8,6,12,16,11,14,4,8,18,8,48,2,1,2,6,1,
2,2,2,9,12,4,4,2,6,4,12,4,4,1,2,2,1,4,2,2,1,6,4,6,1,2,1,1,2,1],[1,1,34,10,28,
17,72,2,4,8,18,16,11,14,4,26,56,2,1,2,6,3,11,14,4,4,2,10,20,1,3,6,2,2,1,10,6,
1,2,1,1,2,1],[1,1,6,8,1,7,4,4,8,3,4,4,8,1,3,1,2,3,5,4,4,4,4,4,4,8,8,4,4,8,2,2,
4,4,1,1,2,4,2,2,2,4,1,2,3,3,4,3,1,2,4,2,2,4,4,4,4,2,2,2,1,1,1,1,2,1,2,2,2,2,2,
2,2,1,1,2,2,1,1,1,2,2,1],[1,1,6,8,3,5,2,2,12,3,4,4,8,1,3,1,2,5,3,2,6,4,4,4,4,
8,8,4,4,8,4,4,2,2,1,1,2,4,2,2,2,4,1,2,6,1,6,1,2,2,2,4,4,4,4,4,2,4,1,2,1,2,1,2,
2,2,2,2,2,2,2,4,1,1,1,2,2,1],[1,1,6,8,1,7,4,4,8,3,4,4,8,1,3,1,2,3,5,4,4,4,4,4,
4,8,8,8,4,4,2,2,4,4,1,1,2,4,2,2,2,4,1,2,3,3,4,3,1,2,4,4,4,2,2,4,4,2,2,2,1,1,1,
1,2,1,2,2,2,2,2,4,1,1,2,2,1,1,1,2,2,1],[1,1,14,8,3,9,2,2,4,7,12,4,8,1,3,4,3,2,
9,9,2,2,4,4,4,4,6,6,4,4,4,2,2,12,1,1,3,2,2,4,4,2,2,4,1,1,2,1,2,3,2,2,2,2,2,2,
6,7,7,2,2,2,14,4,4,4,4,2,2,1,1,1,4,4,2,2,4,2,1,1,1,7,2,2,1,1,1,1,2,2,2,2,1,1,
2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,10,24,18,2,2,5,12,48,2,10,8,12,17,2,
20,6,2,4,12,6,4,12,10,8,8,1,5,4,10,4,4,6,4,1,4,6,12,4,2,4,6,12,4,4,4,6,4,6,2,
6,4,4,6,4,1,1,2,1,1,1,1,2,2,2,6,4,2,2,1,2,2,6,4,2,6,4,2,6,4,1,1,2,2,2,1,2,2,2,
1],[1,1,10,24,4,14,2,2,5,12,48,6,10,4,12,17,2,20,2,6,4,12,10,12,10,8,8,1,5,4,
10,4,4,10,1,4,6,12,4,2,4,12,6,4,4,4,6,4,6,2,6,4,4,6,4,1,1,2,1,1,1,1,2,2,2,6,4,
2,2,1,2,2,6,4,2,6,4,2,6,4,1,1,2,2,2,1,2,2,2,1],[1,1,14,24,1,11,16,7,12,12,24,
32,4,4,3,6,8,8,8,7,11,8,4,4,2,2,4,8,4,4,4,8,12,16,16,2,1,1,3,2,4,4,4,4,4,4,1,
2,2,2,4,3,4,4,4,4,4,4,4,4,2,1,1,2,2,2,2,4,4,4,4,4,4,1,1,1,2,2,2,2,2,1,1,2,2,4,
2,2,2,4,2,2,4,2,4,4,4,1,1,1,1,1,1,1,1],[1,1,6,40,1,7,2,2,12,3,4,20,40,64,4,1,
10,16,16,16,3,5,2,6,4,4,4,4,2,2,4,8,8,8,4,16,16,16,16,16,16,16,4,1,1,2,2,4,4,
1,2,2,1,2,1,4,4,2,4,4,8,8,8,8,8,8,8,8,4,4,2,1,1,2,2,2,2,2,4,4,4,4,1,2,4,2,1,2,
2,2,4,1,1,1,2,2,2,2,4,2,2,4,2,4,2,4,1,1,1,1,1,1,1,1],[1,1,22,24,1,7,2,2,12,11,
36,12,40,32,4,9,8,10,8,8,8,8,7,9,2,6,4,4,2,2,4,4,12,4,4,8,8,8,12,8,8,16,16,32,
1,1,2,1,3,2,4,4,1,2,2,1,2,2,2,6,6,4,3,4,8,4,4,4,4,8,8,8,8,4,4,2,1,1,2,2,2,2,2,
4,4,4,4,1,1,1,2,2,2,1,2,2,2,4,1,1,1,2,2,2,2,2,2,2,2,4,2,4,2,4,1,1,1,1,1,1,1,
1],[1,1,22,24,4,3,3,14,11,36,12,24,48,4,9,8,6,12,12,12,2,3,7,10,10,2,2,4,8,8,
12,12,20,12,32,12,12,12,1,3,1,5,4,4,2,1,1,3,1,2,2,5,8,6,6,6,6,6,12,12,6,6,4,4,
1,1,2,2,2,2,2,2,2,2,4,4,4,1,3,3,2,1,2,2,6,1,1,1,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,
1,1,1,1,1,1,1,1],[1,1,6,40,4,3,3,14,3,4,20,56,48,4,1,14,8,12,12,12,2,3,7,6,6,
4,4,2,2,4,8,8,12,12,12,32,12,8,12,12,12,1,3,1,2,3,4,4,2,1,1,3,1,2,2,3,6,2,8,6,
6,6,6,12,12,6,6,4,4,1,1,2,2,2,2,2,4,2,2,2,4,4,1,3,3,2,1,2,2,6,1,1,1,2,2,2,2,2,
2,2,2,4,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,14,40,3,9,2,2,4,7,12,20,40,128,1,3,
4,3,10,32,32,32,9,9,2,2,4,12,12,4,2,2,4,12,12,10,10,32,12,16,16,16,16,8,1,1,3,
6,2,4,4,8,8,6,6,12,1,1,2,5,8,6,3,16,16,8,8,24,24,8,8,8,8,4,4,4,4,2,1,1,2,2,2,
2,4,4,4,4,4,4,8,1,2,3,4,6,4,1,2,2,4,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,
1,1,1,1,1,2,2,2,2,1,1,1],[1,1,14,40,3,9,2,2,4,7,12,20,56,80,32,1,3,4,3,14,8,
20,16,24,8,8,8,3,3,2,2,18,18,4,4,2,2,4,10,22,12,12,24,4,4,4,4,12,12,8,8,8,8,1,
2,3,2,1,1,3,6,2,3,3,9,9,3,3,6,6,6,1,1,2,3,3,1,5,3,2,2,1,2,2,2,6,15,15,24,24,4,
4,8,8,8,8,2,2,4,2,2,2,2,1,1,2,2,2,2,2,2,2,4,2,2,2,2,1,3,3,3,6,3,3,3,1,6,2,2,1,
1,1,1,1,2,2,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,2,1,1,1,1,2,2,2,2,2,2,2,2,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1],[1,1,14,40,3,9,2,2,4,7,28,20,88,32,32,1,3,4,7,8,22,24,
8,16,8,8,8,9,9,2,2,4,12,12,4,2,2,4,12,36,10,10,12,8,8,8,8,8,16,16,1,3,2,2,1,1,
3,6,2,6,6,12,12,12,1,1,2,3,5,2,18,18,4,4,4,4,4,4,24,24,8,8,8,8,4,4,4,4,2,1,1,
2,2,2,2,4,4,4,4,4,12,3,3,3,6,1,2,2,1,2,2,4,1,1,1,1,2,1,1,2,2,2,2,2,2,2,2,2,4,
2,2,2,2,1,1,1,1,1,2,2,2,2,1,1,1],[1,1,14,40,5,5,10,7,28,20,40,32,80,1,3,4,7,8,
10,8,16,20,20,20,5,5,10,10,12,12,2,2,4,6,6,20,20,12,12,40,12,12,12,1,2,5,1,1,
6,5,6,6,12,12,12,1,3,3,3,10,10,6,6,6,6,20,24,20,6,6,24,4,4,4,4,1,1,2,2,2,2,2,
4,4,4,4,4,12,3,3,5,6,3,1,2,6,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,1,1,1,
1,1,2,2,2,2,1,1,1],[1,1,14,40,5,5,10,7,12,20,88,80,1,3,4,3,22,24,20,20,20,5,5,
10,10,12,12,2,2,4,14,14,12,12,12,40,12,12,12,12,3,5,1,1,6,5,4,4,6,6,8,8,12,1,
3,7,3,10,6,6,6,6,6,20,20,6,6,24,24,4,4,4,4,1,1,2,2,2,2,2,4,4,4,4,4,4,8,1,2,3,
5,6,3,1,2,6,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,1,1,1,1,1,2,2,2,2,1,1,
1],[1,1,2,32,10,2,2,8,1,16,16,16,4,4,4,4,5,2,4,8,8,2,2,8,4,8,12,4,4,8,8,1,1,4,
2,2,1,2,4,2,2,2,2,4,4,4,4,4,2,4,4,8,8,8,2,2,1,1,4,1,2,2,2,2,4,4,4,1,1,1,2,2,
1],[1,1,2,32,1,5,1,1,14,1,16,16,16,4,4,4,4,1,2,1,7,4,4,4,4,4,2,2,4,6,2,4,2,2,
8,8,4,4,4,4,1,1,2,2,2,2,3,2,1,1,1,2,1,2,2,2,2,4,4,4,4,2,2,2,6,4,2,4,4,4,4,2,2,
1,1,2,2,1,1,1,1,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,8,3,5,2,2,12,3,4,4,
8,1,3,1,2,5,3,2,6,4,4,4,4,4,4,8,4,4,2,2,1,1,2,2,2,2,4,1,2,2,1,2,1,2,4,2,2,4,4,
4,4,4,4,4,4,2,1,1,1,2,2,4,2,2,2,2,1,1,2,2,1,1,4,2,2,1,1,1,1,1,1,1,1],[1,1,22,
8,1,7,24,11,36,4,24,4,9,8,6,8,7,9,12,8,4,12,12,16,16,1,1,1,3,4,4,6,6,6,6,3,4,
4,4,4,4,6,4,4,1,1,2,2,2,3,2,2,2,2,4,4,1,1,1,2,2,1],[1,1,10,8,10,20,5,8,4,2,8,
2,3,10,12,4,4,4,4,2,4,4,1,4,4,2,4,1,1,4,2,4,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,1,
10,8,4,6,20,5,8,4,6,4,2,3,10,12,4,4,4,4,6,4,1,4,4,6,1,1,4,2,4,4,4,4,1,1,1,2,2,
2,2,1,1,1,1],[1,1,14,8,1,11,2,2,4,7,12,4,8,4,4,3,2,7,11,2,2,4,4,4,4,16,8,4,12,
1,1,3,2,2,4,4,4,4,1,1,2,1,2,3,4,4,4,8,8,8,4,1,1,2,2,1,2,2,4,2,2,2,2,4,2,2,2,2,
4,1,1,1,1,1,1,1,1],[1,1,6,8,1,7,2,2,12,3,4,4,8,4,1,2,3,5,2,6,4,4,4,4,6,6,4,8,
4,1,1,2,2,4,4,1,2,2,1,2,1,2,6,3,3,2,2,2,6,2,1,1,1,1,1,1,3,2,2,2,2,2,2,2,2,2,1,
1,1,1,1,1,1,1],[1,1,6,24,1,7,8,3,4,12,24,32,4,1,6,8,8,8,3,5,4,4,4,4,4,8,8,4,4,
4,8,2,1,1,2,4,4,2,2,1,2,2,2,4,4,4,4,4,2,2,4,4,4,4,2,4,4,1,1,2,1,2,2,2,2,2,2,2,
2,2,4,2,2,2,2,4,1,1,1,1,1,1,1,1],[1,1,10,32,6,4,4,4,5,8,16,16,16,1,3,2,4,4,3,
4,2,4,4,8,8,2,2,8,8,4,4,12,6,6,4,12,12,8,8,1,4,2,4,4,8,3,1,3,1,2,2,3,1,6,2,4,
4,4,2,4,2,2,2,4,4,4,4,4,4,2,1,1,1,2,1,2,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,
1],[1,1,10,32,1,1,3,3,10,5,8,16,16,16,1,3,2,4,4,1,3,5,4,4,8,8,4,2,2,4,4,4,6,2,
4,4,4,8,8,4,4,8,4,8,4,4,4,1,4,2,4,4,8,1,3,3,1,2,1,2,1,2,2,4,2,2,2,4,4,2,2,2,2,
4,4,4,4,4,4,4,2,1,1,2,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,10,
32,3,7,1,1,6,5,8,16,16,16,1,3,2,4,4,7,6,1,3,8,8,4,2,2,4,8,8,8,4,4,2,2,4,4,4,4,
8,4,8,4,4,4,1,2,4,4,4,8,3,3,1,2,4,1,1,1,2,2,2,2,2,2,4,4,2,2,2,2,2,2,4,4,4,4,4,
4,2,1,1,2,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,18,32,2,8,2,2,9,
24,16,8,16,48,1,1,2,6,2,4,12,9,2,6,10,4,4,4,6,6,4,6,8,12,18,8,8,8,8,6,2,2,2,2,
3,3,1,1,9,4,2,2,6,4,6,6,4,3,3,3,3,4,2,2,1,1,3,3,2,6,2,2,2,2,9,9,4,4,4,2,2,1,1,
1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,3,3,1,1,3,3,2,2,2,2,2,2,6,2,2,1,1,3,3,2,2,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,26,16,6,2,2,24,13,48,8,32,32,2,12,8,8,8,8,8,
8,9,2,12,4,4,4,4,4,4,18,12,12,24,8,32,1,1,2,2,2,6,1,2,1,9,6,8,2,6,8,8,8,8,4,2,
6,2,6,6,4,1,2,2,1,2,1,3,3,2,2,2,2,2,6,1,1,1,1,1,1,1,1],[1,1,10,16,6,2,2,16,5,
8,8,8,16,2,2,2,4,1,2,8,8,4,8,4,4,10,4,8,8,4,2,1,1,1,4,4,4,4,2,4,4,4,1,1,2,2,1,
2,2,1,1,1,1],[1,1,12,2,2,6,9,6,2,2,12,4,9,9,9,1,2,6,6,6,2,6,9,1,4,6,6,1,2,2,1,
1,1,1],[1,1,12,2,2,15,6,2,2,12,4,9,9,9,1,8,6,6,2,6,9,1,4,6,6,1,2,2,1,1,1,1],[
1,1,12,2,2,6,9,6,2,2,12,4,9,9,9,1,2,6,6,6,2,6,9,1,4,6,6,1,2,2,1,1,1,1],[1,1,
12,2,2,15,6,2,2,12,4,9,9,9,1,8,6,6,2,6,9,1,4,6,6,1,2,2,1,1,1,1],[1,1,18,1,8,4,
3,3,9,1,8,4,6,1,9,9,4,1,3,12,3,3,4,2,1,1,3,3,4,3,1,1,1],[1,1,18,5,8,3,3,9,5,8,
6,1,9,9,4,1,12,3,3,3,4,1,2,1,3,3,4,3,1,1,1],[1,1,18,5,8,6,9,5,8,6,1,9,9,4,1,
15,3,3,4,1,2,1,3,3,4,3,1,1,1],[1,1,6,5,8,1,3,3,5,8,6,1,3,3,4,5,3,8,3,1,4,1,2,
1,3,3,4,1,2,1,1,1],[1,1,6,1,8,4,12,3,1,8,4,24,2,1,9,9,4,3,3,1,12,3,4,8,2,1,1,
3,3,4,3,1,1,1],[1,1,2,1,8,4,3,3,1,1,8,4,8,2,8,8,1,3,3,4,3,3,1,8,4,1,4,8,2,1,1,
3,3,4,2,1,1,1,1],[1,1,2,4,5,4,3,3,1,4,5,4,5,8,5,8,1,3,3,4,3,3,4,5,4,1,4,8,1,1,
1,1,3,3,4,1,1,1,1,1,1],[1,1,1,8,4,9,1,8,4,1,3,3,4,4,9,3,4,2,1,1,3,3,4,1,3,1,
1],[1,1,5,8,9,5,8,3,1,3,4,4,9,3,4,1,2,3,1,3,4,1,3,1,1],[1,1,5,8,6,3,5,8,3,1,3,
4,4,6,3,3,4,1,2,1,3,3,4,1,3,1,1],[1,1,5,8,21,5,8,1,9,9,4,18,24,3,9,4,1,2,1,3,
3,4,3,6,3,1,1],[1,1,36,1,8,4,3,18,1,8,4,12,24,24,24,1,9,9,4,3,6,12,24,9,4,8,2,
1,1,3,3,4,3,6,3,1,1],[1,1,36,1,8,4,3,18,1,8,4,12,24,24,12,12,1,9,9,4,3,6,24,
12,9,4,4,4,2,1,1,3,3,4,3,6,3,1,1],[1,1,36,5,8,3,18,5,8,36,24,24,1,9,9,4,3,18,
24,9,4,4,4,1,2,1,3,3,4,3,6,3,1,1],[1,1,36,4,5,4,3,18,1,4,4,4,12,12,12,24,12,
12,1,9,9,4,3,6,12,12,12,9,4,4,4,1,1,1,1,3,3,4,3,3,3,3,1,1],[1,1,36,4,5,4,3,18,
1,4,4,4,12,12,24,12,12,12,1,9,9,4,3,6,12,12,12,9,4,4,4,1,1,1,1,3,3,4,3,3,3,3,
1,1],[1,1,12,1,8,4,3,6,1,8,4,12,8,1,3,3,4,3,4,6,3,4,8,2,1,1,3,3,4,1,3,1,1],[1,
1,18,2,2,7,15,9,2,2,12,6,6,15,9,27,1,2,8,6,8,6,2,6,6,9,1,1,1,6,8,6,6,12,6,1,2,
2,1,1,6,1,1,1,2,2,1],[1,1,12,30,2,2,1,9,6,15,72,2,2,12,12,12,4,4,6,6,18,9,6,9,
9,1,6,6,2,2,6,2,2,6,12,12,12,12,6,6,9,1,1,1,4,4,6,6,2,6,6,6,6,6,1,2,2,1,1,4,4,
6,1,1,1,2,2,1],[1,1,18,2,2,1,9,9,2,2,12,6,6,9,9,9,1,6,6,2,2,6,6,9,1,1,1,6,6,1,
1,1,1,1,1,1],[1,1,8,42,1,2,1,3,3,4,21,72,1,2,1,2,8,2,2,6,8,6,2,12,12,6,3,3,18,
9,12,9,3,1,1,1,3,3,4,3,1,3,12,6,3,6,6,6,12,6,24,6,4,2,1,3,9,1,2,1,1,2,2,2,4,1,
3,3,3,3,3,3,3,6,3,3,6,1,1,1,1,1,1,2,2,1,2,2,3,3,1,1,1,1,1,1,1,1],[1,1,10,10,5,
16,10,15,10,16,5,10,1,1],[1,9,3,4,15,9,9,9,9,12,3,6,7,6,9,3,3,12,3,1,1,2,1,3,
1,1],[1,9,3,4,15,9,9,9,9,12,3,6,7,6,9,3,3,3,12,1,1,2,1,3,1,1],[1,1,3,4,15,3,4,
15,3,6,7,6,3,6,7,6,1,1,2,1,1,2,1,1],[1,27,3,4,15,27,27,36,54,3,6,7,6,9,18,12,
9,1,1,2,1,3,1,1],[1,27,3,4,15,27,27,36,54,3,6,7,6,9,18,12,9,1,1,2,1,3,1,1],[1,
27,3,4,15,27,9,9,9,9,27,3,6,7,6,3,3,9,9,9,9,6,1,1,2,3,3,6,1,1],[1,27,3,4,15,
27,9,9,9,9,27,3,6,7,6,3,3,9,9,9,9,6,1,1,2,3,3,6,1,1],[1,21,28,21,14,28,8,21,
14,8,14,1],[1,7,28,7,28,8,1,7,8,7,1,1],[1,7,28,7,28,8,1,7,8,7,1,1],[1,1,2,16,
18,6,6,1,16,32,12,12,2,6,9,6,16,3,3,2,9,18,12,8,6,9,12,8,1,1],[1,1,2,16,3,3,3,
3,18,1,16,16,16,1,3,1,3,12,12,3,3,9,16,1,1,3,3,9,9,9,4,4,12,3,3,9,4,4,12,1,
1],[1,1,2,16,18,6,6,1,16,32,12,12,2,6,9,6,16,3,3,2,9,18,12,8,6,9,12,8,1,1],[1,
1,2,16,3,3,3,3,18,1,16,32,1,3,1,3,12,12,3,3,9,16,1,1,3,3,9,9,9,4,4,12,3,3,9,4,
4,12,1,1],[1,1,42,16,6,36,21,96,16,32,2,24,24,9,18,18,72,16,12,3,6,9,18,9,18,
8,12,24,1,9,9,12,3,1,1],[1,1,18,24,16,6,36,9,24,12,72,16,32,2,6,18,24,9,18,18,
72,16,12,3,6,9,18,9,18,8,12,24,1,9,9,12,3,1,1],[1,1,30,16,1,15,15,60,16,20,15,
15,45,60,16,12,15,15,20,60,45,8,12,6,10,15,8,12,1,1,1],[1,1,6,24,16,1,15,3,4,
12,24,32,16,4,16,1,6,8,3,9,36,12,24,12,24,16,4,8,3,12,1,6,8,4,4,24,12,24,12,3,
6,12,24,4,4,4,8,6,4,6,3,12,4,4,4,8,1,1,1],[1,1,30,4,1,15,15,60,4,24,20,15,15,
45,60,4,12,12,15,15,20,60,45,1,4,12,12,6,10,15,1,3,3,4,1,1,3,3,1],[1,1,18,36,
4,12,9,24,18,72,4,24,3,2,6,18,9,18,3,9,18,9,18,18,4,12,12,6,6,9,9,9,18,9,9,3,
9,9,18,9,1,4,12,12,1,3,3,9,9,9,9,3,1,3,4,3,1,3,3,1],[1,1,18,36,4,6,6,9,24,18,
72,4,24,3,2,6,18,9,18,9,3,18,9,18,18,4,12,12,6,6,9,9,9,18,9,9,3,9,9,9,18,1,4,
12,12,1,3,3,9,9,9,9,3,1,3,4,3,1,3,3,1],[1,1,6,48,4,2,10,3,24,24,48,24,4,8,16,
3,1,1,6,12,6,3,6,18,3,3,6,6,6,12,6,24,6,3,4,8,4,4,8,1,6,2,6,3,3,3,6,6,3,12,6,
3,3,6,6,3,3,3,6,6,3,6,6,6,6,1,4,8,4,4,8,1,3,3,3,3,6,6,3,6,3,6,1,2,1,1,2,4,3,1,
1,2,1,2,1],[1,1,6,48,4,6,6,3,24,24,48,24,4,24,1,3,1,6,12,6,3,6,18,3,3,6,6,6,
12,6,24,6,3,4,12,12,1,6,2,6,3,3,3,6,6,3,12,6,3,3,6,6,3,3,3,6,6,3,6,6,6,6,1,4,
12,12,1,3,3,3,3,6,6,3,6,3,6,1,2,1,1,2,4,3,1,1,2,1,2,1],[1,1,6,48,4,2,10,3,24,
24,48,24,4,8,16,1,1,3,6,12,6,3,9,15,3,3,6,3,9,15,12,15,6,3,4,8,4,4,8,1,3,1,1,
6,3,3,3,3,9,3,3,6,6,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,6,6,1,4,8,4,4,8,1,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,1,1,1,1,4,3,1,1,1,1,1,1,1,1],[1,1,2,4,3,3,3,
3,18,1,4,8,1,3,1,3,12,12,3,3,9,12,12,4,1,1,3,3,9,9,9,1,4,12,12,3,3,9,1,4,1,3,
1],[1,1,2,4,3,3,3,3,18,1,4,4,4,1,3,1,3,12,12,3,3,9,12,12,4,1,1,3,3,9,9,9,1,4,
12,12,3,3,9,1,4,1,3,1],[1,1,2,4,18,6,6,1,4,4,4,12,12,2,6,9,6,12,12,4,3,3,2,9,
18,1,4,12,12,6,9,1,4,1,3,1],[1,1,6,24,4,8,16,3,12,24,4,8,16,1,12,6,9,36,3,3,6,
12,18,6,3,4,8,8,4,4,3,12,1,12,2,18,3,6,3,6,3,6,6,6,3,6,3,3,6,6,3,6,1,4,8,4,4,
8,3,1,3,3,6,3,6,3,6,3,6,1,2,1,2,1,4,3,1,1,2,1,2,1],[1,1,6,24,4,24,3,12,24,4,8,
4,1,24,6,9,36,3,3,6,12,6,12,6,3,12,12,4,3,12,1,2,12,6,12,3,6,3,6,3,6,6,6,3,6,
3,3,6,6,3,6,1,4,12,12,3,1,3,3,6,3,6,3,6,3,6,1,2,1,2,1,4,3,1,1,2,1,2,1],[1,1,6,
24,4,8,16,3,12,24,4,8,3,16,1,9,6,9,9,27,3,3,6,3,9,9,9,6,3,4,8,8,4,4,3,3,9,1,3,
1,1,9,9,9,3,3,3,3,3,3,3,6,6,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,4,8,4,4,8,3,1,3,3,3,
3,3,3,3,3,3,3,3,3,3,1,1,1,1,1,1,1,4,3,1,1,1,1,1,1,1,1],[1,1,18,16,18,12,9,24,
16,2,12,6,15,6,12,18,16,12,3,6,3,9,12,12,6,12,8,12,1,3,6,6,3,8,4,3,1,1],[1,1,
6,12,16,18,12,3,4,6,12,8,16,1,12,1,1,3,2,9,6,6,6,6,12,3,3,16,4,8,3,3,3,3,3,6,
6,6,6,6,3,3,6,6,4,4,4,8,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,1,6,16,12,3,3,18,3,4,16,
1,6,3,9,6,6,6,6,16,4,3,6,1,3,3,3,3,3,6,6,6,4,1,3,3,1,4,3,1,1],[1,1,6,36,16,6,
6,6,3,4,18,36,8,16,16,16,1,1,1,9,2,3,6,6,6,6,12,3,3,12,12,12,12,12,16,4,8,3,3,
3,3,3,6,6,6,6,6,3,3,6,6,4,4,4,8,4,4,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,1,6,36,16,6,
12,3,4,18,36,8,16,32,1,1,1,9,2,3,6,6,6,6,12,3,3,12,24,24,16,4,8,3,3,3,3,3,6,6,
6,6,6,3,3,6,6,4,4,4,8,8,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,1,18,24,16,6,6,6,9,24,
12,24,16,16,16,2,6,6,9,6,12,12,18,24,24,16,12,6,3,3,9,12,12,6,12,8,12,4,4,1,3,
6,3,6,8,4,3,1,1],[1,1,30,12,16,6,12,15,28,6,12,8,16,32,1,1,7,3,2,3,6,6,6,6,12,
3,3,12,24,24,16,4,8,3,3,3,3,3,6,6,6,6,6,3,3,6,6,4,4,4,8,8,1,3,3,3,3,3,3,4,4,4,
3,1,1],[1,7,36,16,6,3,9,7,18,8,36,16,16,16,1,1,1,2,9,6,3,6,6,6,3,12,6,3,6,18,
12,6,12,16,4,8,3,3,3,3,6,6,3,6,6,6,3,3,6,6,4,4,4,8,4,4,1,3,3,3,3,3,3,4,4,4,3,
1,1],[1,7,36,16,9,9,7,18,8,36,16,16,16,1,1,1,2,9,9,6,6,6,3,18,3,18,18,18,16,4,
8,3,3,3,9,9,6,6,6,3,3,6,6,4,4,4,8,4,4,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,1,14,24,4,
1,19,7,12,12,24,4,8,16,4,12,3,6,7,15,12,12,12,24,12,12,8,4,4,8,4,3,1,3,6,4,4,
12,12,3,6,3,12,12,12,6,6,6,12,1,8,4,4,4,8,1,3,6,6,3,6,6,12,1,1,2,1,2,4,3,1,2,
2,1,1,1],[1,1,14,24,4,7,13,7,12,12,24,4,8,8,8,3,9,4,3,6,13,9,12,12,6,6,12,12,
6,6,12,4,4,4,4,4,4,4,3,1,3,6,4,4,6,6,12,3,6,3,6,6,6,6,6,6,6,3,3,6,6,6,1,4,4,4,
4,4,4,4,1,3,6,3,3,3,3,3,6,6,6,1,1,1,1,1,1,1,4,3,1,1,1,1,1,1,1,1],[1,1,2,36,4,
1,19,1,18,12,24,4,8,16,3,4,9,3,6,1,3,24,18,6,6,12,9,15,12,8,4,4,8,4,1,3,3,6,3,
3,4,4,6,3,3,6,3,3,6,6,6,6,6,6,6,3,3,6,6,6,6,1,8,4,4,4,8,1,3,3,3,6,3,3,3,6,6,6,
1,1,1,1,1,1,1,4,3,1,1,1,1,1,1,1,1],[1,1,2,36,4,7,13,1,18,12,24,4,8,8,8,9,4,3,
3,6,1,3,18,24,6,6,6,6,12,3,9,12,4,4,4,4,4,4,4,1,3,3,6,4,4,9,3,3,6,3,3,3,6,6,6,
6,6,6,6,3,3,6,6,6,6,1,4,4,4,4,4,4,4,1,3,3,3,6,3,3,3,6,6,6,1,1,1,1,1,1,1,4,3,1,
1,1,1,1,1,1,1],[1,1,26,16,6,12,13,56,16,32,4,8,14,16,3,6,12,24,16,8,2,1,2,3,3,
6,6,12,4,8,8,16,3,6,6,4,8,8,1,1],[1,1,2,24,16,6,12,1,12,24,32,16,32,4,8,6,8,
16,3,6,12,24,16,8,2,1,2,3,3,6,6,6,6,4,8,8,16,3,6,6,4,8,8,1,1],[1,1,6,36,4,2,4,
12,3,18,48,4,16,1,1,12,3,6,6,6,6,6,9,12,3,24,24,8,4,8,1,2,3,3,6,12,6,6,6,3,3,
6,6,1,4,4,4,1,3,3,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,1,6,36,4,6,12,3,18,48,4,16,1,
1,12,3,6,6,6,6,6,9,12,3,24,24,12,8,1,2,3,3,6,12,6,6,6,3,3,6,6,1,4,4,4,1,3,3,3,
3,3,3,1,2,2,4,3,1,1,1,1],[1,1,6,36,4,6,6,6,3,18,48,4,16,1,1,12,3,6,6,6,6,6,9,
12,3,24,24,12,8,1,2,3,3,6,6,12,6,6,3,3,6,6,1,4,4,4,1,3,3,3,3,3,3,1,2,2,4,3,1,
1,1,1],[1,1,6,36,4,2,4,6,6,3,18,48,4,16,1,1,12,3,6,6,6,6,6,9,12,3,24,24,8,4,8,
1,2,3,3,6,6,12,6,6,3,3,6,6,1,4,4,4,1,3,3,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,1,18,
24,4,6,6,6,9,24,12,24,4,16,2,6,6,9,6,12,12,18,24,24,12,8,6,3,3,9,12,12,6,12,1,
4,4,4,1,3,6,3,6,3,2,4,3,1,1,1,1],[1,7,36,4,8,1,9,3,30,36,4,16,1,1,3,9,6,3,6,6,
6,3,12,6,3,18,12,12,6,6,4,8,8,1,3,2,3,6,6,3,3,6,6,6,3,3,6,6,1,4,4,4,1,3,3,3,3,
3,3,1,2,2,4,3,1,1,1,1],[1,7,36,4,6,3,9,3,30,36,4,16,1,1,3,9,6,3,6,6,6,3,12,6,
3,18,12,12,6,6,12,8,1,3,2,3,6,6,3,3,6,6,6,3,3,6,6,1,4,4,4,1,3,3,3,3,3,3,1,2,2,
4,3,1,1,1,1],[1,7,36,4,2,7,9,3,30,36,4,16,1,1,3,9,9,6,6,6,15,6,3,18,18,18,4,8,
8,1,3,2,3,9,9,6,6,6,3,3,6,6,1,4,4,4,1,3,3,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,7,36,
4,9,9,3,30,36,4,16,1,1,3,9,9,6,6,6,15,6,3,18,18,18,12,8,1,3,2,3,9,9,6,6,6,3,3,
6,6,1,4,4,4,1,3,3,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,1,14,24,4,3,9,7,12,12,24,96,4,
8,1,3,4,3,6,24,24,24,9,9,12,12,12,12,6,6,24,12,12,12,4,6,1,1,3,6,4,4,8,8,6,6,
12,3,6,6,3,12,12,24,24,1,4,12,12,4,4,8,1,2,3,3,6,1,1,2,2,1,4,1,1,1,2,1,2,1],[
1,1,14,24,4,3,3,6,7,12,12,72,48,4,4,4,1,3,4,3,18,24,12,12,12,3,3,6,6,12,12,6,
6,12,12,12,24,12,12,4,3,3,1,1,6,3,4,4,6,6,8,8,12,3,3,6,6,12,12,24,24,1,4,12,
12,4,4,8,1,2,3,3,6,1,1,2,2,1,4,1,1,1,2,1,2,1],[1,1,14,4,1,7,7,12,4,8,4,3,7,9,
4,4,12,4,4,4,1,3,4,4,3,4,6,6,12,1,4,4,4,1,4,4,6,1,1,1,4,1,1,1,1,1],[1,1,26,16,
6,12,13,48,16,32,2,12,8,9,6,18,24,16,12,1,6,9,6,3,6,8,12,8,1,3,3,4,1,1,1],[1,
1,18,8,16,6,12,9,24,4,24,16,32,2,6,6,8,9,6,18,24,16,12,1,6,9,6,3,6,8,12,8,1,3,
3,4,1,1,1],[1,1,6,16,1,3,6,6,12,3,4,16,1,3,3,6,6,12,12,16,4,1,6,3,3,4,12,6,4,
3,4,1,4,1,1,1],[1,1,18,12,4,2,6,9,24,6,24,4,1,2,6,6,9,6,3,1,6,3,6,18,8,12,6,2,
3,9,3,6,3,3,1,3,3,3,6,1,4,4,4,1,1,1,3,3,3,3,3,2,4,1,1,1,1,1],[1,1,18,12,4,8,9,
24,6,24,4,1,2,6,6,9,6,1,3,6,3,6,18,20,6,2,3,9,3,6,3,3,1,3,3,6,3,1,4,4,4,1,1,1,
3,3,3,3,3,2,4,1,1,1,1,1],[1,1,6,48,4,4,3,24,24,24,4,32,1,6,6,3,7,3,6,6,12,6,3,
4,16,1,3,3,6,6,3,3,3,3,6,6,6,6,1,4,4,4,1,3,3,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,1,
6,48,4,4,3,24,24,24,4,16,16,1,6,6,3,3,7,6,6,12,6,3,4,8,8,1,3,3,6,6,3,3,3,3,6,
6,6,6,1,4,4,4,1,3,3,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,1,6,24,4,16,3,12,24,4,16,1,
12,6,9,1,9,6,6,6,3,8,4,8,3,1,3,6,6,6,6,6,6,3,3,6,1,4,4,4,3,1,3,3,3,3,3,1,2,2,
4,3,1,1,1,1],[1,1,6,24,4,16,3,12,24,4,16,1,12,6,9,9,1,6,6,6,3,8,4,8,3,1,3,6,6,
6,6,6,6,3,3,6,1,4,4,4,3,1,3,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,1,14,24,16,3,3,6,7,
28,12,24,48,16,32,7,8,6,12,12,12,3,3,6,6,12,12,12,24,12,12,12,16,4,1,3,3,1,3,
6,6,6,6,6,6,12,12,6,6,4,8,3,3,1,2,6,1,4,1,1,2,1],[1,1,6,32,16,3,3,6,3,4,16,48,
48,16,32,1,12,8,12,12,12,3,3,6,6,12,12,24,12,12,12,12,16,4,1,3,3,1,3,6,6,6,6,
6,6,12,12,6,6,4,8,3,3,1,2,6,1,4,1,1,2,1],[1,1,14,24,16,3,9,7,28,12,72,32,16,
32,1,3,4,7,8,18,24,8,16,9,9,12,12,12,36,6,6,12,16,4,8,1,3,2,1,1,3,6,6,6,12,12,
12,3,3,18,18,24,24,4,4,4,8,8,16,4,12,3,3,3,6,4,4,4,8,1,1,1],[1,1,6,32,16,3,9,
3,4,16,48,80,16,32,1,3,4,1,12,8,20,16,24,3,3,18,18,6,18,12,12,24,16,4,8,1,2,3,
1,1,3,6,3,3,9,9,3,3,6,6,6,3,3,3,3,15,15,24,24,4,4,4,8,8,16,1,3,3,3,6,3,3,3,6,
4,4,4,8,1,1,1],[1,1,14,24,16,3,3,6,7,28,12,24,32,48,16,32,1,3,4,7,8,6,8,16,12,
12,12,3,3,6,6,12,12,6,6,12,12,12,24,16,4,8,1,2,3,1,1,6,3,6,6,12,12,12,3,3,6,6,
12,24,12,24,4,4,4,8,8,16,4,12,3,3,3,6,4,4,4,8,1,1,1],[1,1,6,12,4,6,4,12,3,6,4,
8,3,1,3,6,6,6,4,6,6,3,3,4,4,4,1,3,3,3,3,3,3,3,6,6,6,3,1,4,4,4,1,3,3,3,3,3,3,1,
1,1,4,3,1,1,1,1],[1,1,6,12,4,10,12,3,6,4,8,3,1,3,6,6,4,6,6,6,3,3,4,4,4,1,3,3,
3,3,3,3,3,6,6,6,3,1,4,4,4,1,3,3,3,3,3,3,1,1,1,4,3,1,1,1,1],[1,1,6,12,4,6,4,6,
6,3,6,4,8,3,1,3,6,6,4,6,6,6,3,3,4,4,4,1,3,3,3,3,3,3,3,6,6,6,3,1,4,4,4,1,3,3,3,
3,3,3,1,1,1,4,3,1,1,1,1],[1,1,6,12,4,10,6,6,3,6,4,8,3,1,3,6,6,6,4,6,6,3,3,4,4,
4,1,3,3,3,3,3,3,3,6,6,6,3,1,4,4,4,1,3,3,3,3,3,3,1,1,1,4,3,1,1,1,1],[1,1,30,16,
3,3,18,15,28,16,32,12,7,3,9,18,18,12,36,16,4,3,9,12,12,1,3,9,6,6,6,4,8,3,1,3,
6,6,1,4,3,1,2,1],[1,1,6,24,16,3,3,18,3,4,12,24,16,32,12,1,6,3,9,6,6,12,12,12,
12,24,16,4,3,6,3,12,12,1,3,3,6,6,6,6,4,8,3,1,3,6,6,1,4,3,1,2,1],[1,1,6,24,16,
9,9,6,3,4,12,24,16,16,16,3,9,1,6,9,3,6,6,12,12,6,6,6,6,12,12,16,4,3,6,3,6,6,
12,1,3,3,6,3,3,6,6,4,4,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,14,4,1,7,6,6,12,7,
12,4,8,4,3,7,9,6,6,12,12,12,12,4,4,4,1,3,6,4,4,3,3,6,3,6,6,6,1,4,4,4,1,3,3,6,
6,1,1,1,4,3,1,1,1,1],[1,1,14,4,7,7,18,7,12,4,4,4,4,3,7,9,18,18,12,12,4,4,4,1,
9,4,4,3,9,3,6,6,6,1,4,4,4,1,3,3,6,6,1,1,1,4,3,1,1,1,1],[1,1,14,48,4,1,7,7,12,
24,48,96,4,8,16,16,4,3,12,24,24,24,7,9,6,6,12,12,24,12,4,4,8,8,32,4,6,1,3,4,4,
6,6,3,12,12,12,12,6,3,3,6,12,12,1,4,8,4,4,8,1,3,3,6,6,12,6,6,1,1,1,2,2,4,3,2,
1,1,1,2,1],[1,1,14,48,4,1,1,6,7,12,24,48,96,4,4,4,16,16,4,3,12,24,24,24,1,3,6,
6,6,6,12,12,12,12,12,4,4,16,8,8,16,4,6,1,3,4,4,3,6,6,6,6,6,6,12,12,3,3,6,6,12,
12,1,4,4,8,4,8,1,3,3,6,6,12,6,6,1,1,1,2,2,4,3,1,1,2,1,2,1],[1,1,18,4,18,12,9,
24,4,2,12,6,15,6,12,18,8,12,3,6,3,9,12,12,6,12,1,4,4,4,1,3,6,6,3,3,2,4,3,1,1,
1,1],[1,1,10,24,4,10,12,5,12,24,4,16,16,10,6,15,6,12,12,10,4,8,8,5,10,3,3,12,
6,12,12,1,4,4,4,1,3,3,6,6,1,2,2,4,3,1,1,1,1],[1,1,10,12,4,12,5,6,24,4,16,1,10,
6,15,6,3,1,6,3,6,10,12,8,5,10,2,3,3,6,1,3,6,3,3,3,3,1,4,4,4,1,1,1,3,3,3,3,1,2,
2,4,1,1,1,1,1],[1,1,10,12,4,2,10,5,6,24,4,16,1,10,6,15,6,1,3,6,3,6,10,8,4,8,5,
10,2,3,3,6,1,6,3,3,3,3,3,1,4,4,4,1,1,1,3,3,3,3,1,2,2,4,1,1,1,1,1],[1,1,10,36,
4,6,10,5,18,72,4,16,16,8,3,10,18,15,18,3,9,18,9,18,10,4,4,8,4,32,8,5,10,6,9,9,
18,3,18,9,9,9,9,9,1,8,4,4,4,8,1,3,3,9,9,9,9,1,1,2,1,2,4,3,2,1,1,1,2,1],[1,1,
10,36,4,16,5,18,72,4,16,8,16,3,10,18,15,18,9,3,18,9,18,10,4,4,4,8,32,8,5,10,6,
9,9,18,3,9,18,9,9,9,9,1,8,4,4,4,8,1,3,3,9,9,9,9,1,1,2,2,1,4,3,2,1,1,1,2,1],[1,
1,14,32,4,4,12,7,16,72,4,8,8,8,8,4,4,6,3,4,18,9,24,3,3,6,16,12,18,9,4,4,4,4,4,
8,8,8,8,4,4,1,4,3,4,6,12,9,18,3,6,3,6,6,6,3,6,3,3,6,6,3,6,1,4,4,4,4,4,4,4,1,3,
3,3,6,3,6,3,6,3,6,1,1,1,1,1,1,1,4,3,1,1,1,1,1,1,1,1],[1,1,14,32,4,4,12,7,16,
72,4,8,8,8,8,4,4,1,6,3,3,18,9,9,15,3,3,6,7,9,9,3,18,9,4,4,4,4,4,8,8,8,8,4,4,1,
1,3,3,1,3,3,3,9,3,9,9,9,3,3,3,3,6,6,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,4,4,4,4,4,4,
4,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,1,1,1,1,4,3,1,1,1,1,1,1,1,1],[1,1,10,4,
22,6,6,5,4,16,10,12,21,6,12,10,8,4,8,3,5,10,3,12,12,12,6,1,4,4,4,1,3,3,6,6,1,
2,2,4,3,1,1,1,1],[1,15,28,16,9,9,7,42,36,16,16,16,3,3,7,9,9,18,6,6,9,18,9,18,
6,6,16,4,3,9,6,1,9,3,18,6,6,3,3,6,6,4,4,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,15,
28,16,6,3,9,7,42,36,16,16,16,3,3,7,9,9,18,6,6,9,18,9,18,6,6,16,4,3,9,6,1,9,3,
18,6,6,3,3,6,6,4,4,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,7,36,16,6,3,9,7,18,24,36,
16,16,16,3,3,1,6,9,6,3,12,6,6,6,3,6,12,6,9,6,18,6,16,4,3,6,6,3,1,3,6,12,3,6,6,
6,3,3,6,6,4,4,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,7,36,16,9,9,7,18,24,36,16,16,
16,3,3,1,6,9,9,18,6,6,9,18,9,6,18,6,16,4,9,9,1,3,9,18,6,6,3,3,6,6,4,4,4,3,1,3,
3,3,3,3,1,4,3,1,1,1,1],[1,1,2,48,4,1,1,3,3,6,1,24,48,4,8,16,16,1,3,12,1,3,3,
12,12,12,12,12,12,12,4,4,8,8,32,4,1,3,3,6,6,6,12,12,6,1,4,8,4,4,8,1,3,3,6,6,1,
4,4,3,2,1,1],[1,1,2,48,4,6,4,4,1,24,48,4,4,4,16,16,1,3,12,3,4,12,12,12,24,24,
4,4,16,8,8,16,4,1,3,3,6,12,12,12,6,1,4,4,8,4,8,1,3,3,6,6,1,4,4,3,2,1,1],[1,1,
2,48,4,3,3,1,1,6,1,24,48,4,4,4,16,16,1,3,12,3,1,3,12,12,12,12,12,12,12,4,4,16,
8,8,16,4,1,3,3,6,6,6,12,12,6,1,4,4,8,4,8,1,3,3,6,6,1,4,4,3,2,1,1],[1,1,6,16,1,
3,3,4,16,1,3,3,12,16,4,1,6,6,6,4,3,4,1,1],[1,1,2,4,1,1,3,3,6,1,4,8,1,3,1,3,3,
12,6,6,4,4,4,1,3,3,6,6,1,4,4,4,1,3,3,1,4,3,1,1],[1,1,2,4,6,4,4,1,4,4,4,1,3,3,
4,6,6,12,4,4,4,1,3,3,6,6,1,4,4,4,1,3,3,1,4,3,1,1],[1,1,2,4,3,3,1,1,6,1,4,4,4,
1,3,3,1,3,6,6,12,4,4,4,1,3,3,6,6,1,4,4,4,1,3,3,1,4,3,1,1],[1,1,26,32,4,1,9,3,
3,18,13,40,16,48,96,4,8,8,8,8,4,4,10,8,12,8,24,24,24,3,6,3,9,6,6,6,6,6,6,10,
18,12,12,18,18,24,12,12,24,4,4,4,4,4,8,8,8,8,4,4,1,1,1,6,1,3,3,3,3,3,3,3,9,6,
3,3,6,6,3,9,12,12,12,12,12,12,3,3,3,6,9,4,4,4,1,2,2,4,1,1,2,2,4,4,4,1,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,1,1,4,1,1,2,1,1,2,2,2,1,3,1,1,1,1,1,1,1,1],[1,1,6,48,1,6,
14,3,24,72,1,6,6,10,1,12,1,9,18,5,15,33,1,1,6,9,15,15,9,18,3,1,3,3,5,3,5,24,3,
1,3,9,1,3,3,3,9,15,9,9,9,9,1,1,3,3,6,6,3,3,1,1,3,1,3,3,3,3,3,3,3,3,3,5,1,1,3,
3,3,1,1,3,5,3,3,5,3,1,1,5,5,6,6,3,3,3,1,3,3,3,3,3,3,3,3,3,3,3,1,1,1,3,1,1,1,3,
1,3,3,1,1,1,1,1,1,1,5,3,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,3,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1],[1,1,3,4,6,27,3,4,6,27,3,6,4,18,18,27,3,6,4,27,1,3,18,18,1,9,3,1],[
1,9,1,12,27,9,12,9,4,27,12,9,1,1,3,1],[1,9,1,12,18,9,9,12,9,4,9,18,12,9,1,1,2,
1,1],[1,1,18,1,12,9,9,9,1,12,9,9,24,9,4,9,9,12,9,4,12,12,9,1,12,1,1,1,1,1,1,
1],[1,9,36,1,12,9,54,9,36,12,12,36,27,4,9,18,36,4,12,12,9,1,12,1,4,1,2,1],[1,
9,36,1,12,9,54,9,36,12,12,36,27,4,9,18,36,4,12,12,9,1,12,1,4,1,2,1],[1,9,36,1,
12,9,54,9,36,12,6,6,18,18,27,4,9,9,9,18,18,2,2,12,6,6,9,1,6,6,1,2,2,1,1,1,1],[
1,1,3,4,6,9,3,4,6,9,3,6,4,6,6,9,3,6,4,9,1,1,6,6,1,1,1,1],[1,9,1,12,9,9,12,27,
4,9,12,9,1,1,1,1],[1,9,1,12,9,9,12,27,4,9,12,9,1,1,1,1],[1,1,54,3,4,6,3,9,27,
3,4,6,54,36,36,54,54,27,3,6,4,1,6,6,6,9,6,27,36,54,3,6,4,9,18,9,18,12,12,9,18,
18,1,1,2,6,2,6,9,18,12,3,1,1,1,3,6,6,1,1,1,1],[1,1,3,4,6,6,9,3,4,6,9,3,6,4,2,
6,6,12,9,12,3,6,4,9,6,1,1,4,6,4,6,6,1,1,6,2,1,1],[1,1,12,3,4,6,9,6,3,4,6,12,
12,12,12,4,9,3,6,4,6,6,9,2,6,12,6,3,6,4,12,4,4,4,4,6,9,1,1,6,6,2,2,4,6,1,4,1,
6,1,2,1],[1,1,36,3,4,6,9,18,3,4,6,36,12,12,12,12,27,3,6,4,6,6,9,6,6,12,18,3,6,
4,4,12,12,12,12,18,9,1,1,6,6,6,6,12,2,1,4,3,6,1,2,1],[1,1,3,4,6,9,3,4,6,27,3,
6,4,6,6,9,3,6,4,9,1,1,6,6,1,3,1,1],[1,1,18,36,1,12,9,18,108,1,12,9,9,36,24,6,
6,18,18,27,4,12,6,9,18,9,36,18,36,9,18,4,2,2,12,12,6,6,18,9,1,12,6,2,6,6,6,6,
1,1,1,2,2,6,1,1,1,2,2,1],[1,1,6,18,3,4,6,3,3,9,3,4,6,6,6,6,6,18,6,2,6,6,6,9,3,
6,4,1,6,6,3,1,3,6,3,6,3,9,3,6,4,6,2,2,2,2,2,6,6,6,6,3,3,9,1,2,2,1,1,2,3,3,6,1,
3,3,1,2,2,1,3,3,1,1,1,1],[1,1,6,72,3,4,6,3,36,108,3,4,6,6,6,6,6,18,6,54,2,42,
42,6,54,54,27,3,6,4,3,27,1,3,42,18,54,18,18,18,36,18,36,18,3,6,3,9,3,6,4,6,9,
18,9,18,12,12,2,2,2,2,2,6,6,6,6,9,9,9,18,1,1,1,2,3,3,6,1,9,18,12,6,6,3,6,6,6,
6,6,6,6,6,1,1,1,2,2,3,3,6,3,1,1,1,2,2,1],[1,1,10,10,15,6,10,15,5,15,6,10,10,
10,15,6,5,10,6,5,1,1],[1,1,10,25,6,10,5,15,15,6,20,10,15,6,5,10,6,5,1,1],[1,1,
20,10,15,10,6,10,20,20,5,15,15,6,10,10,10,15,6,5,10,6,5,1,1],[1,1,20,10,15,10,
6,10,20,20,5,15,15,6,10,10,10,15,6,5,10,6,5,1,1],[1,1,20,10,15,10,6,10,20,20,
5,15,15,6,10,10,10,15,6,5,10,6,5,1,1],[1,1,20,10,15,10,6,10,20,20,5,15,15,6,
10,10,10,15,6,5,10,6,5,1,1],[1,1,30,10,1,15,15,6,10,20,5,15,15,6,12,10,10,10,
5,6,6,6,5,10,6,5,1,1],[1,1,30,10,1,15,15,6,10,10,10,5,15,15,6,12,10,10,10,5,6,
6,6,5,10,6,5,1,1],[1,1,30,10,1,15,15,6,10,10,10,5,15,15,6,12,10,10,10,5,6,6,6,
5,10,6,5,1,1],[1,1,30,10,1,15,15,20,6,10,10,10,5,15,15,6,12,10,10,10,5,5,6,6,
6,5,10,6,5,1,1,1],[1,1,30,1,3,5,15,1,1,10,15,5,15,1,6,1,5,5,1,15,1,3,3,5,5,5,
1,2,1,3,3,5,1,1,1,3,1,1,1,1],[1,1,38,72,3,21,6,6,36,19,84,36,216,96,288,1,3,
12,12,2,6,24,24,21,24,54,72,24,48,72,72,72,21,27,6,18,36,36,36,36,72,72,36,
108,18,18,36,72,36,36,36,72,72,72,72,144,144,3,9,6,18,1,3,3,2,6,6,9,18,36,18,
12,12,24,24,18,18,36,36,36,24,24,36,36,72,48,48,72,72,9,18,18,9,18,18,18,9,9,
18,54,54,18,18,9,18,36,36,36,36,36,72,72,72,72,72,72,144,72,72,144,144,144,18,
36,36,36,36,12,12,24,12,36,24,24,24,48,72,3,6,6,9,9,12,18,18,9,18,9,18,18,18,
36,36,6,6,6,9,18,18,36,18,9,18,36,9,18,9,18,9,18,18,18,18,18,36,9,18,18,36,18,
18,36,36,36,36,36,18,18,18,36,36,36,36,36,36,36,36,36,36,36,36,1,2,3,6,6,3,3,
6,9,18,9,18,9,18,9,18,18,36,18,36,9,18,18,36,9,18,9,18,18,36,18,18,18,18,36,
36,36,36,3,6,9,18,9,18,1],[1,1,14,24,1,19,6,6,60,7,12,12,24,12,12,2,6,3,6,7,
15,6,30,12,12,12,12,24,24,4,4,24,12,24,12,12,12,24,24,3,3,2,3,6,12,6,4,4,8,8,
12,12,12,12,24,3,18,12,9,6,6,18,3,6,6,6,3,12,4,6,6,12,12,12,12,12,1,2,3,6,2,6,
3,6,6,3,9,3,6,3,6,6,6,12,4,4,6,12,12,6,6,12,12,12,12,12,12,1,1,3,6,6,3,3,6,6,
6,6,6,6,1,3,3,1],[1,1,30,24,1,27,6,6,12,15,60,12,24,28,12,2,6,15,6,15,51,6,6,
12,12,12,12,24,24,24,24,12,24,12,12,60,24,24,3,17,2,15,6,12,6,20,60,8,8,12,12,
12,12,24,3,6,9,6,6,18,3,6,6,6,45,12,24,24,24,12,12,12,12,12,12,24,6,10,15,2,3,
6,2,6,6,3,6,6,3,9,3,6,3,6,6,12,12,12,6,12,12,6,6,6,12,12,12,12,12,12,12,24,1,
1,6,3,6,6,3,6,6,6,3,6,6,6,6,6,6,1,2,3,6,3,1],[1,1,14,40,1,27,6,6,12,7,12,20,
40,32,4,12,24,2,6,3,10,8,7,19,6,6,12,44,20,12,24,24,8,16,40,12,32,24,12,12,12,
24,24,5,3,2,12,3,10,8,12,6,4,4,4,4,8,8,24,12,32,20,12,12,24,3,6,9,6,6,18,5,6,
10,6,3,12,12,24,8,8,16,8,8,8,16,4,8,4,4,8,8,12,12,12,8,8,8,6,4,6,1,2,5,12,6,2,
6,2,4,3,6,6,3,9,3,6,3,6,6,12,4,4,8,8,2,4,4,4,4,4,8,2,4,6,6,12,12,4,4,4,4,8,12,
12,12,8,8,8,1,1,2,4,1,2,2,4,1,1,2,2,3,6,6,2,2,2,3,6,2,4,2,4,2,4,2,4,6,1,2,1,2,
2,2,2,1,2,1],[1,1,14,40,5,23,6,6,12,7,12,20,40,32,2,10,12,16,2,6,3,10,8,11,15,
6,6,12,28,36,12,24,24,4,12,8,8,32,12,8,24,24,12,12,12,24,24,2,3,3,2,4,8,3,10,
8,12,6,4,4,4,4,8,8,16,8,4,8,16,16,20,12,12,24,3,6,9,6,6,18,3,2,6,4,6,6,3,12,8,
4,8,16,4,4,12,4,8,8,8,4,12,8,4,6,2,4,4,8,8,12,12,12,4,4,8,8,1,1,4,4,2,4,1,2,2,
3,4,8,6,2,6,3,1,2,3,6,6,3,9,3,6,3,6,6,12,4,6,2,4,8,2,4,2,2,4,4,6,2,4,2,4,6,6,
12,12,2,2,4,4,4,8,12,12,12,4,4,8,8,1,1,1,3,2,1,2,3,1,2,2,2,2,3,6,6,1,1,2,2,3,
6,2,4,2,4,2,4,2,4,6,1,1,1,1,2,1,1,2,2,1,2,1],[1,1,30,24,1,27,6,6,12,15,60,12,
24,32,4,20,16,15,6,8,15,51,6,6,12,36,12,12,24,24,12,24,60,24,24,3,15,12,15,6,
8,6,20,60,4,4,24,12,24,12,3,3,4,12,6,12,3,6,45,12,12,24,24,24,24,12,12,12,12,
12,24,6,6,10,4,6,15,3,12,6,6,3,3,3,3,4,3,12,12,6,12,12,12,12,12,6,6,12,12,12,
12,24,1,1,1,2,3,3,6,6,3,6,6,3,6,6,6,6,6,6,6,3,3,3,6,1],[1,1,14,8,1,11,2,2,20,
7,12,4,8,4,4,3,2,7,11,2,10,4,4,4,4,4,12,8,8,8,8,4,12,8,8,1,1,3,2,2,4,4,4,4,1,
4,4,1,2,4,1,2,3,4,4,10,6,4,12,4,4,8,8,8,8,4,4,4,1,1,2,2,1,1,1,1,1,2,4,4,6,4,4,
4,4,4,4,4,4,4,4,1,1,1,2,2,1,2,1,2,2,2,2,1,1,1,1],[1,1,14,8,1,11,2,2,20,7,12,4,
8,4,4,3,2,7,11,2,10,4,4,4,4,12,4,8,16,8,4,12,8,8,1,1,3,2,2,4,4,4,4,1,4,4,1,2,
4,1,2,3,4,4,6,10,4,12,8,8,8,8,8,4,4,4,1,1,2,2,1,1,1,1,1,2,4,4,6,4,4,4,4,4,4,4,
4,4,4,1,2,2,1,1,1,2,1,2,2,2,2,1,1,1,1],[1,1,14,8,1,11,6,6,12,7,12,4,8,4,4,3,2,
7,11,6,6,12,4,4,12,8,32,8,4,12,8,8,1,1,3,2,6,4,4,4,4,3,3,4,12,6,4,1,2,3,4,4,
16,12,12,8,8,4,4,1,1,2,2,4,1,1,1,3,4,1,6,4,4,4,4,4,4,4,4,4,4,1,2,2,2,2,1,1,2,
1,1,2,2,1,1,1,1],[1,1,14,56,1,19,6,6,12,7,12,28,56,64,12,12,2,6,3,14,16,16,16,
7,15,6,6,12,12,12,12,24,24,4,4,16,24,8,8,12,40,12,12,12,24,24,16,16,16,16,4,3,
3,2,3,6,12,6,4,4,8,8,12,12,12,12,24,3,6,9,6,6,18,3,4,10,6,6,3,12,8,8,8,8,8,8,
8,8,8,8,8,8,16,16,4,2,2,4,8,8,8,12,12,12,8,8,8,8,16,16,1,2,3,6,2,4,2,6,3,6,6,
3,9,3,6,3,2,2,6,4,6,12,2,4,2,2,4,4,6,6,12,12,4,4,8,4,4,8,8,8,8,8,4,4,8,12,12,
12,4,4,8,8,8,1,1,3,6,6,1,2,3,6,2,2,2,2,4,4,2,6,2,2,2,4,4,4,4,4,4,1,2,1,1,2,2,
2,4,1],[1,1,14,56,3,9,4,4,24,7,12,28,56,64,1,3,1,3,12,12,3,14,16,16,16,9,9,4,
12,12,12,12,12,24,24,8,4,4,8,12,12,14,14,16,6,6,12,12,12,12,24,16,24,16,16,16,
4,1,1,3,3,3,6,12,6,6,6,12,4,4,6,6,12,8,8,12,12,3,6,12,3,9,12,3,7,4,6,3,3,3,6,
6,6,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,4,4,4,2,2,4,4,4,4,4,6,12,6,6,6,8,8,8,8,8,
8,8,8,1,3,2,3,3,2,4,3,1,4,3,6,3,6,9,3,6,2,2,3,6,4,3,6,3,6,2,2,2,2,2,2,2,4,3,3,
6,6,12,6,4,4,4,4,4,4,4,4,4,4,4,4,8,8,4,4,4,4,6,6,6,6,6,6,4,4,4,4,8,4,4,1,1,3,
6,3,3,1,1,1,3,6,2,2,2,2,2,2,2,2,2,3,3,2,2,2,2,2,2,2,4,2,4,2,2,2,1,1,1,1,1,2,1,
1,2,2,2,1],[1,1,30,40,1,19,2,2,20,15,60,20,72,32,64,4,4,16,8,8,15,16,18,16,8,
16,16,16,7,15,2,10,12,36,12,12,8,8,8,16,8,48,12,24,8,20,16,16,40,8,16,48,2,2,
4,3,1,2,2,12,3,6,8,4,6,4,4,4,4,24,12,24,12,8,8,8,8,3,6,4,1,4,2,4,3,2,12,18,2,
5,10,12,4,8,12,24,8,8,16,16,16,16,8,16,8,8,8,8,4,8,4,4,8,8,8,8,8,8,16,8,16,8,
8,6,4,6,1,2,3,2,12,2,2,4,4,2,4,1,2,2,4,4,3,6,8,1,2,1,1,2,6,2,2,2,4,4,4,4,2,4,
4,4,4,8,4,2,4,8,4,8,4,4,4,4,4,4,4,8,4,4,4,8,8,8,4,8,4,4,8,8,8,8,1,1,1,2,1,1,1,
2,2,2,2,4,4,2,4,2,2,1,2,2,4,2,2,2,4,2,2,2,4,4,4,4,2,2,4,2,2,1,2,2,1,2,1,2,1],[
1,1,30,40,5,15,2,2,20,15,60,20,72,32,64,2,10,4,8,8,8,15,16,18,16,8,16,16,16,
11,11,2,10,12,20,28,12,8,8,12,4,8,16,40,12,8,16,8,20,16,16,40,8,16,48,2,2,4,2,
1,1,2,2,4,8,3,6,8,4,6,4,4,4,4,16,8,4,8,16,8,12,8,8,8,8,3,6,4,1,4,2,4,1,2,2,16,
14,2,5,10,12,4,8,8,4,8,16,8,8,16,16,16,16,12,4,8,4,4,8,8,4,4,4,2,6,4,4,8,8,8,
8,8,8,16,4,12,8,8,8,1,1,4,4,2,4,1,2,2,1,2,4,8,2,2,4,4,1,3,2,1,2,2,4,4,3,6,8,1,
2,1,1,2,6,2,2,2,4,4,4,2,2,2,4,6,2,4,4,4,2,2,2,4,8,4,8,4,4,4,4,4,4,6,2,4,4,4,4,
8,8,8,4,8,4,4,8,8,8,4,4,1,1,1,2,2,1,2,1,1,2,2,4,4,3,1,2,2,2,1,2,1,3,2,2,2,2,4,
2,2,2,4,4,4,4,2,2,4,1,1,1,1,1,2,2,1,2,1,2,1],[1,1,14,56,5,15,2,2,20,7,12,28,
88,64,64,2,10,4,8,8,8,3,22,16,16,16,16,16,16,7,7,2,10,4,24,32,4,16,16,4,4,16,
12,28,16,12,24,24,8,8,4,8,8,8,24,48,32,2,2,4,2,1,1,2,2,4,8,1,8,8,8,2,4,4,4,4,
16,8,4,8,16,8,12,8,8,8,8,3,6,4,1,4,2,4,3,4,6,6,4,6,4,1,2,8,12,4,8,4,4,4,16,24,
4,4,8,16,8,16,8,8,4,4,4,4,16,8,4,4,4,4,2,2,8,4,4,4,4,4,4,4,12,12,12,8,4,4,4,4,
16,8,1,1,4,4,2,4,1,2,1,2,2,4,8,2,1,1,2,4,2,1,1,4,2,4,4,8,3,1,2,6,1,2,1,3,1,1,
4,2,1,3,2,6,2,2,4,2,2,2,2,2,2,4,2,8,2,2,2,2,2,2,4,6,6,6,8,2,2,2,2,2,2,2,2,2,2,
4,8,4,4,4,4,4,4,4,6,4,6,2,4,6,4,2,2,4,4,4,4,1,1,1,2,1,1,1,1,1,1,1,1,2,1,2,4,2,
1,1,3,1,2,2,1,2,1,1,4,2,1,1,1,2,1,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1],[1,1,14,56,1,19,2,2,20,7,12,28,88,64,64,4,4,16,8,8,3,22,16,
16,16,16,16,16,3,11,2,10,4,40,16,4,16,16,8,8,8,4,36,4,16,32,24,8,8,4,8,8,8,24,
48,32,2,2,4,3,1,2,2,12,1,8,8,8,2,4,4,4,4,24,12,24,12,8,8,8,8,3,6,4,1,4,2,4,5,
2,6,2,8,6,4,1,2,8,12,4,12,4,4,32,8,4,4,8,16,8,16,8,8,4,4,4,4,8,12,12,4,4,4,4,
4,4,4,4,4,4,4,4,12,12,12,8,4,4,12,12,8,6,4,6,1,3,2,2,12,2,1,1,2,4,2,2,2,2,2,4,
4,8,3,1,2,6,1,2,1,3,1,1,4,2,1,3,2,6,2,2,4,2,2,2,2,6,6,4,2,2,2,2,2,2,2,4,6,6,6,
8,2,2,2,2,2,2,2,2,6,6,4,8,4,4,4,4,4,6,4,6,2,4,6,4,2,2,4,4,4,4,1,1,1,2,1,1,1,1,
1,1,1,1,2,1,2,4,2,1,1,1,3,2,2,1,2,1,1,2,3,3,1,2,1,2,2,2,2,2,2,4,2,2,2,2,2,2,2,
2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,30,8,1,19,2,2,4,15,60,4,8,20,4,15,2,15,
47,2,2,4,4,4,4,8,16,16,8,4,60,8,8,1,15,15,2,2,20,60,4,4,1,1,2,4,1,2,45,4,8,8,
8,4,8,4,4,8,8,8,8,8,4,4,8,6,10,15,1,2,2,2,1,1,1,1,1,4,4,2,4,4,4,4,4,4,2,4,4,4,
4,4,8,1,1,1,1,2,2,2,1,2,2,2,2,2,2,2,2,1,1,1,2,2,1],[1,1,14,24,5,15,2,2,4,7,12,
12,24,32,2,10,4,8,3,6,8,11,11,2,2,4,20,28,4,4,4,16,16,8,16,12,8,16,12,8,8,2,1,
1,4,8,3,6,8,2,4,4,4,4,16,8,4,8,16,8,12,1,1,2,4,1,2,4,2,3,4,8,4,8,16,4,4,4,4,4,
4,4,2,2,8,8,8,4,8,8,8,4,4,4,4,1,1,4,4,2,4,1,2,1,4,8,1,1,4,1,1,1,1,1,4,2,2,4,2,
4,2,2,2,2,4,4,2,4,4,2,2,4,4,4,4,1,2,2,1,1,1,2,1,1,1,2,2,2,2,2,2,2,1,1,1,2,2,
1],[1,1,30,24,1,11,2,2,36,15,60,12,56,64,4,4,8,8,15,16,14,16,16,16,16,7,11,2,
18,12,4,4,12,8,8,4,4,16,8,32,4,8,20,16,16,40,8,16,48,2,2,4,1,1,2,2,3,2,4,6,4,
4,4,4,8,8,8,8,3,10,8,1,4,2,4,1,2,12,14,2,5,10,12,4,8,8,8,16,16,16,16,4,6,6,8,
8,8,12,12,8,8,8,16,1,2,1,2,2,2,4,4,4,1,2,2,4,4,3,6,8,1,2,1,1,2,6,2,4,2,4,4,4,
4,4,6,4,4,4,8,8,8,4,8,4,4,4,4,4,4,4,8,4,4,8,8,4,1,1,1,2,2,2,2,2,4,4,2,1,2,1,2,
4,4,2,2,4,2,4,4,4,1,2,1,1,2,1],[1,1,14,40,1,11,2,2,4,7,12,20,40,64,4,4,3,10,
16,16,16,7,11,2,2,4,4,4,4,4,12,24,8,8,8,4,16,12,8,8,16,16,16,16,4,1,1,3,2,2,4,
4,4,4,1,1,2,4,1,4,4,2,3,4,8,8,8,8,8,8,8,8,8,8,8,8,4,6,2,12,8,8,4,8,8,4,4,8,8,
8,8,1,1,2,4,2,2,4,1,1,1,1,1,2,2,4,4,2,4,2,2,4,4,4,4,4,8,4,4,8,4,4,4,4,4,1,1,2,
2,2,1,2,2,1,1,2,2,2,2,2,2,1,1,1,2,2,1],[1,1,14,24,1,19,2,2,4,7,12,12,24,32,4,
4,16,3,6,8,7,15,2,2,4,36,12,4,24,8,8,24,12,24,12,8,8,3,1,12,3,6,8,2,4,4,4,4,
24,12,24,12,1,1,2,4,3,6,3,4,12,24,8,8,8,12,12,12,4,4,8,8,4,4,8,6,4,6,1,3,12,2,
4,1,1,1,1,1,4,4,6,4,4,4,4,4,2,4,4,4,4,4,8,1,2,2,1,2,2,1,2,2,2,2,2,2,2,2,1,1,1,
4,1],[1,1,30,8,1,19,2,2,4,15,60,4,8,20,4,15,2,15,47,2,2,4,4,4,4,8,16,8,8,8,4,
60,8,8,1,15,15,2,2,20,60,4,4,1,1,2,4,1,2,45,4,8,8,8,4,8,4,4,4,4,8,8,8,8,4,4,8,
6,10,15,1,2,2,2,1,1,1,1,1,4,4,2,4,4,4,4,4,4,2,4,4,4,4,4,8,1,2,1,2,2,1,1,1,2,2,
2,2,2,2,2,2,1,1,1,2,2,1],[1,1,14,40,1,11,2,2,36,7,12,20,40,64,4,4,3,10,16,16,
16,7,11,2,18,4,4,4,4,12,4,8,8,8,8,4,16,12,8,8,16,16,16,16,4,1,1,3,2,2,4,4,4,4,
1,8,8,1,2,4,1,4,4,2,3,4,8,8,8,8,8,8,8,8,8,8,8,8,4,2,6,4,4,8,8,8,4,4,8,8,8,8,1,
1,2,4,2,2,1,1,1,1,1,2,2,4,4,2,4,2,2,4,4,4,4,8,4,4,8,4,4,4,4,4,8,2,2,1,1,1,1,1,
2,2,2,2,2,2,2,2,2,1,1,1,2,2,1],[1,1,46,24,1,19,2,2,52,23,108,12,56,64,20,4,8,
8,27,16,14,16,16,16,16,15,47,2,26,12,4,4,12,8,8,8,8,32,4,8,68,16,16,104,8,16,
112,2,2,4,1,15,2,2,15,2,4,6,20,60,4,4,8,8,8,8,3,14,12,1,4,2,4,1,2,12,14,2,47,
26,28,4,8,8,8,16,16,16,16,8,8,8,4,4,4,16,8,24,8,32,8,6,10,15,2,1,2,2,2,4,4,2,
1,2,2,4,12,3,6,8,1,2,1,1,2,14,2,6,2,4,4,4,4,2,4,4,2,16,12,8,4,4,4,4,4,4,4,4,4,
24,4,4,8,8,24,8,1,1,1,2,1,2,6,2,4,4,1,2,2,6,2,4,8,8,2,2,2,2,2,2,4,2,4,4,2,1,1,
1,2,2,2,4,1],[1,1,14,56,1,19,2,2,20,7,12,28,56,32,64,4,4,16,3,14,8,16,16,16,7,
15,2,10,4,36,12,4,8,8,8,24,8,20,24,16,12,8,8,32,32,16,16,16,16,4,3,1,12,3,6,8,
2,4,4,4,4,24,12,24,12,1,4,4,1,2,4,3,4,4,6,8,3,8,4,12,8,8,24,8,8,8,8,8,8,8,8,8,
8,16,16,8,8,8,8,4,4,4,16,4,8,12,4,8,8,8,16,16,6,4,6,1,3,12,2,4,2,2,2,1,4,1,1,
1,1,2,2,4,4,2,4,4,4,4,2,8,8,8,4,4,2,2,2,4,4,4,8,4,4,8,8,16,4,4,8,4,8,4,8,4,8,
4,4,4,4,8,8,1,1,2,1,1,2,2,1,2,4,4,1,1,2,2,2,2,8,2,2,2,2,4,4,2,2,2,2,2,2,4,4,4,
4,1,2,1,1,2,2,2,2,2,1],[1,1,22,40,3,13,2,2,44,11,36,20,88,32,96,1,3,4,4,9,8,
22,24,8,16,24,24,24,13,15,2,22,4,20,20,4,8,8,16,20,44,10,10,12,24,8,8,12,16,
16,16,16,32,32,1,3,2,6,1,1,1,5,10,4,2,4,4,8,8,10,10,20,12,12,1,10,14,1,6,4,3,
5,6,22,18,4,4,3,4,8,8,8,12,12,24,24,24,24,8,8,16,8,8,16,16,16,8,8,8,10,4,8,8,
8,4,4,8,4,12,1,2,5,3,3,6,3,6,2,2,4,4,2,4,1,2,2,1,1,1,2,1,2,2,2,2,4,8,5,2,4,8,
8,4,2,2,4,4,4,4,4,4,2,4,8,4,8,8,4,8,4,8,16,1,1,2,2,1,2,1,2,1,2,2,1,2,1,2,2,4,
4,4,4,4,4,2,4,4,1,2,1,1,2,1],[1,1,22,72,3,13,6,6,20,11,36,36,120,32,160,1,3,4,
4,9,8,30,24,8,16,40,40,40,13,15,6,10,12,20,20,12,8,8,4,4,8,20,44,18,18,12,40,
24,24,12,32,32,16,16,64,48,64,48,48,48,1,3,2,10,1,1,1,5,10,4,6,4,4,8,8,10,10,
20,12,12,3,2,6,3,4,12,10,4,3,9,10,22,18,4,12,3,4,16,16,16,20,20,24,24,24,24,
24,24,24,24,24,24,16,24,24,24,24,16,16,16,8,8,8,8,8,8,4,2,2,4,4,4,4,2,4,8,8,8,
8,8,8,8,8,8,4,4,8,4,12,1,2,5,3,3,6,5,6,6,6,4,4,12,2,1,2,2,1,1,3,4,2,1,6,6,6,2,
6,2,4,8,8,16,12,24,24,1,2,2,2,2,2,4,2,2,4,4,4,2,2,4,4,4,4,4,2,2,4,4,4,4,4,4,2,
4,8,4,4,4,4,4,4,8,4,4,8,4,4,4,4,8,8,4,8,4,4,4,4,8,1,1,1,3,3,4,4,2,1,2,1,2,1,2,
1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,2,2,2,2,2,2,2,2,4,4,4,4,2,4,4,1,1,1,1,1,1,1,2,
2,2,2,1],[1,1,22,72,1,7,8,8,24,11,36,36,120,32,160,1,3,4,4,9,8,30,24,8,16,40,
40,40,3,5,8,12,20,4,4,20,24,24,4,4,8,8,24,12,12,8,32,30,30,8,44,44,20,20,72,
48,72,48,48,48,1,3,2,10,1,1,1,1,2,12,10,4,4,10,10,12,8,8,20,12,3,2,2,5,4,5,12,
8,3,2,6,8,8,8,5,15,2,5,18,18,22,12,12,8,8,24,24,8,8,24,24,32,32,32,32,32,24,
24,32,32,32,8,8,8,8,8,8,2,2,4,4,4,4,4,4,8,6,6,6,8,8,8,8,8,8,4,4,4,8,12,1,2,3,
5,1,2,3,2,8,8,8,8,12,1,1,1,2,1,2,1,3,4,2,2,6,6,6,2,8,2,3,8,8,14,12,24,24,1,2,
2,2,2,2,2,2,4,4,4,4,2,2,2,2,4,4,4,4,2,2,4,4,4,4,4,3,1,2,6,4,2,4,4,4,4,4,4,4,4,
8,8,4,4,4,4,2,6,2,4,2,6,6,4,4,4,4,4,4,1,1,1,3,3,4,4,2,1,2,1,2,1,2,1,1,1,2,2,2,
2,2,4,4,4,4,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,
2,2,1],[1,1,22,40,3,13,2,2,12,11,36,20,88,32,96,1,3,4,4,9,8,22,24,8,16,24,24,
24,13,15,2,6,4,20,20,4,8,8,8,8,16,20,44,10,10,12,24,8,8,12,16,16,16,16,32,32,
1,3,2,6,1,1,1,5,10,4,2,4,4,8,8,10,10,20,12,12,1,2,6,1,6,4,3,5,6,22,18,4,4,3,4,
8,8,8,12,12,24,24,24,24,8,8,16,8,8,16,16,16,8,4,4,8,8,8,8,16,16,16,16,2,4,8,8,
8,4,4,8,4,12,1,2,5,3,3,6,3,6,2,2,4,4,2,2,2,4,1,2,2,1,1,1,2,1,2,2,2,2,4,8,1,2,
8,8,16,4,4,8,8,4,4,8,8,2,2,4,4,4,4,4,4,2,4,8,4,8,8,4,8,4,1,1,4,1,1,2,2,2,4,4,
1,2,1,2,1,2,1,1,2,2,2,2,2,1,2,1,8,4,4,4,4,4,1,1,2,2,2,1,2,2,2,1],[1,1,14,24,1,
19,10,10,20,7,12,12,24,12,12,2,6,3,6,7,15,10,10,20,12,12,20,24,24,8,8,8,24,12,
24,12,12,12,24,24,3,3,2,3,6,12,10,4,4,8,8,12,12,12,12,24,5,6,11,4,6,12,10,18,
3,6,6,6,3,12,4,4,4,4,4,8,8,12,12,12,1,2,3,6,2,6,3,6,6,3,9,5,4,6,3,6,6,12,2,4,
4,4,4,4,4,4,4,4,4,4,4,6,6,12,12,12,12,12,1,1,3,6,6,1,2,3,6,2,2,4,4,6,2,2,4,4,
1,1,2,1,2,1],[1,1,14,24,3,9,8,8,32,7,12,12,24,1,3,1,3,12,12,3,6,9,9,8,16,20,
12,12,20,24,24,4,4,4,4,8,12,12,6,6,6,6,12,12,12,12,24,24,1,1,3,3,3,6,12,10,6,
6,12,4,4,6,6,12,8,8,12,12,5,6,12,5,4,9,12,16,3,3,6,3,3,3,6,6,6,4,2,2,4,2,2,4,
4,4,4,4,6,12,6,6,6,1,3,2,3,3,3,1,4,3,6,3,6,9,5,4,6,3,6,3,6,3,6,2,2,2,2,2,2,2,
2,2,2,2,4,4,4,4,2,2,2,2,2,2,3,3,6,6,12,6,6,6,6,6,6,6,1,1,3,6,3,3,1,1,1,3,6,2,
2,2,2,2,2,3,3,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,14,24,5,15,2,2,36,7,12,12,24,
32,2,10,4,8,3,6,8,11,11,2,18,4,20,28,4,4,4,8,8,8,16,12,8,16,12,8,8,2,1,1,4,8,
3,6,8,2,4,4,4,4,16,8,4,8,16,8,12,1,8,8,1,2,4,1,2,4,2,3,4,8,4,8,16,4,4,4,4,4,4,
4,2,2,4,4,4,8,8,8,4,4,4,4,1,1,4,4,2,4,1,2,1,4,8,1,1,1,1,1,1,1,4,4,2,2,2,4,2,2,
2,2,4,4,2,4,2,2,4,4,8,4,4,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,1,1,1,2,2,1],[1,1,
22,40,3,13,2,2,12,11,36,20,88,32,96,1,3,4,4,9,8,22,24,8,16,24,24,24,13,15,2,6,
4,20,20,4,8,8,8,8,16,20,44,10,10,12,24,8,8,12,16,16,16,16,32,32,1,3,2,6,1,1,1,
5,10,4,2,4,4,8,8,10,10,20,12,12,1,2,6,1,6,4,3,5,6,22,18,4,4,3,4,8,8,8,12,12,
24,24,24,24,8,8,16,8,8,16,16,16,4,4,8,8,8,8,8,2,4,8,8,8,4,4,8,4,12,1,2,5,3,3,
6,3,6,2,2,4,4,2,1,2,2,1,1,1,2,1,2,2,2,2,4,8,1,2,4,4,4,4,4,4,8,8,8,8,2,2,4,4,4,
4,4,4,2,4,8,4,8,8,4,8,4,1,1,1,2,1,2,1,2,1,2,1,2,2,4,4,4,2,4,4,4,2,2,2,4,4,1,1,
2,1,2,1],[1,1,22,40,1,7,4,4,16,11,36,20,88,32,96,1,3,4,4,9,8,22,24,8,16,24,24,
24,3,5,4,8,12,4,4,12,24,24,4,4,8,4,4,8,8,24,4,4,8,16,14,14,8,28,28,20,20,40,
40,1,3,2,6,1,1,1,1,2,12,6,4,4,10,10,12,8,8,20,12,1,2,2,3,5,4,3,2,2,4,8,8,5,7,
2,5,10,10,14,4,4,8,8,8,8,16,16,32,16,16,32,32,32,4,2,2,4,4,4,4,2,2,4,4,4,4,4,
4,8,6,6,6,4,4,4,8,12,1,2,3,5,1,2,1,2,4,4,8,8,1,1,1,2,1,2,1,1,2,2,2,2,4,2,3,6,
1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,2,2,4,4,4,4,4,3,1,2,6,4,2,4,2,6,2,4,
2,6,6,4,1,1,1,2,1,2,1,2,1,2,1,1,1,1,1,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,1,
1,1,1,1,1,1,1],[1,1,30,24,1,11,6,6,28,15,60,12,56,64,4,4,8,8,15,16,14,16,16,
16,16,7,11,6,14,20,4,4,20,8,8,8,16,8,32,4,8,20,16,16,40,8,16,48,2,2,4,1,1,2,2,
3,2,4,10,4,4,4,4,8,8,8,8,5,6,4,3,4,4,12,6,4,1,2,12,14,2,5,10,12,4,8,8,8,16,16,
16,16,4,4,4,8,8,8,8,8,8,8,16,1,2,1,2,2,2,4,4,1,2,2,4,4,3,6,8,1,2,3,4,1,2,6,2,
2,2,4,4,2,4,4,4,4,4,8,8,8,8,4,4,4,8,4,8,4,4,4,4,4,4,4,8,4,4,8,8,1,1,1,2,2,2,4,
4,1,2,1,2,2,4,2,2,4,4,2,4,2,4,2,4,1,2,1,2,1,1],[1,1,14,8,1,11,6,6,44,7,12,4,8,
4,4,3,2,7,11,6,22,12,4,4,12,8,16,8,4,12,8,8,1,1,3,2,6,4,4,4,4,3,8,8,3,4,12,6,
4,1,2,3,4,4,8,4,4,8,8,8,4,4,1,1,2,2,1,1,1,3,4,1,4,2,4,4,4,4,4,4,4,4,4,8,1,1,1,
2,2,1,1,2,2,2,2,2,1,1,1,1],[1,1,38,40,3,21,2,2,28,19,84,20,88,32,96,1,3,20,4,
21,8,22,24,8,16,24,24,24,21,51,2,14,4,20,20,4,8,8,4,4,8,20,44,10,10,12,24,8,8,
60,16,16,48,16,32,64,1,3,2,6,1,1,15,17,10,4,2,20,60,8,8,10,10,20,12,12,1,6,10,
1,6,4,3,5,6,22,18,4,4,45,12,16,8,8,12,12,24,24,24,24,8,8,16,8,8,16,16,16,4,4,
8,12,12,8,4,4,8,4,6,6,4,4,4,12,6,4,16,8,16,12,12,8,6,10,4,4,8,4,12,15,2,5,3,3,
6,3,6,2,2,4,4,2,2,1,2,6,1,1,1,2,1,2,6,2,2,4,8,3,2,4,4,4,4,6,6,4,2,6,4,4,4,4,4,
4,2,4,4,6,6,4,4,4,4,4,4,2,4,8,6,6,4,12,12,12,4,12,4,8,16,4,8,4,12,12,12,12,8,
8,1,1,1,1,1,1,2,2,1,2,3,2,1,2,1,2,3,4,4,4,4,4,4,2,6,2,2,4,4,2,2,6,2,2,2,4,4,2,
4,2,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,30,56,1,11,2,2,20,15,60,28,88,128,4,4,
8,8,15,16,22,16,32,32,32,7,11,2,10,12,4,4,12,8,8,4,4,8,8,8,32,8,8,4,24,20,16,
16,40,8,16,16,48,16,16,16,2,2,8,1,1,2,2,3,2,4,6,4,4,4,4,8,8,8,8,3,6,4,1,4,2,4,
1,4,6,12,14,2,5,10,12,4,8,8,8,8,8,8,8,8,8,16,16,8,8,16,16,8,8,8,8,16,16,16,16,
4,2,2,4,4,4,8,8,8,8,8,8,16,8,8,8,8,16,16,16,16,1,2,1,2,2,2,2,4,4,4,1,2,2,4,4,
3,6,8,1,2,1,1,2,2,2,6,2,4,2,2,4,4,2,4,2,2,4,4,8,4,8,4,4,4,4,4,4,4,4,8,4,4,8,8,
8,8,8,16,16,4,4,8,8,4,8,4,4,8,8,4,4,8,8,1,1,2,1,2,2,4,4,1,2,1,2,2,4,2,2,4,4,2,
2,4,4,2,4,2,4,2,4,2,4,2,4,1,2,1,2,1,2,4,2,1],[1,1,14,24,1,19,2,2,36,7,12,12,
24,32,4,4,16,3,6,8,7,15,2,18,4,36,12,4,8,16,24,12,24,12,8,8,3,1,12,3,6,8,2,4,
4,4,4,24,12,24,12,1,8,8,1,2,4,3,6,3,4,12,24,8,8,8,4,4,4,8,8,8,8,4,4,8,6,4,6,1,
3,12,2,1,1,1,1,1,4,4,4,2,4,4,4,4,4,2,4,4,4,4,8,8,1,1,2,1,2,2,2,2,2,2,2,2,2,2,
2,1,1,1,4,1],[1,1,30,56,5,23,2,2,4,15,60,28,56,32,192,2,10,20,8,15,14,8,48,48,
48,19,47,2,2,4,36,44,4,8,8,8,24,32,20,16,16,48,60,8,8,16,16,16,16,12,2,1,15,4,
8,15,14,8,2,20,60,4,4,16,16,16,8,12,16,32,8,12,1,1,2,4,1,6,12,12,2,45,4,8,4,
24,24,8,16,8,8,48,48,8,8,8,8,8,8,8,24,24,8,8,8,8,8,8,8,8,8,12,12,4,4,4,24,8,8,
8,8,4,4,24,24,8,8,8,8,8,6,1,1,4,10,8,8,16,4,2,4,15,4,6,1,4,8,6,12,4,1,1,2,1,1,
1,1,1,2,2,4,8,8,4,4,8,8,4,12,12,4,8,8,2,12,4,4,2,2,2,2,4,4,2,2,2,4,4,2,4,12,
12,4,4,4,4,4,4,4,8,24,24,24,4,8,8,8,8,8,8,4,4,24,8,8,4,4,4,24,8,8,4,4,24,24,8,
8,8,8,8,1,1,2,2,2,1,1,1,1,1,2,1,1,1,2,1,8,8,4,4,8,8,8,4,4,8,2,12,4,4,2,2,2,2,
4,4,4,4,2,2,2,12,2,2,4,4,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,2,2,1,1,1,2,2,4,2,
2,2,2,2,2,4,1],[1,1,14,24,5,15,6,6,28,7,12,12,24,32,2,10,4,8,3,6,8,11,11,6,14,
12,20,28,12,16,16,8,8,8,8,16,12,8,16,12,8,8,2,1,1,4,8,3,6,8,8,6,4,4,4,4,16,8,
4,8,16,8,12,3,4,12,3,4,12,14,4,1,2,4,2,3,4,8,4,8,16,4,4,4,4,4,4,8,8,8,4,4,4,
16,8,8,8,8,4,8,4,4,4,4,1,1,4,4,2,4,1,2,1,4,8,4,1,1,1,1,1,3,4,4,1,2,4,4,4,4,4,
8,4,2,2,2,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,2,4,8,4,2,2,4,4,4,4,4,4,4,1,1,2,
1,1,1,1,1,2,1,1,2,1,1,2,2,4,2,4,4,2,4,2,2,4,4,2,2,2,4,4,4,4,2,1,1,1,2,2,2,2,2,
1],[1,1,22,72,7,25,2,2,12,11,36,36,184,224,96,7,21,4,28,9,8,46,56,56,64,112,
24,24,24,25,27,2,6,4,92,92,4,8,8,4,4,8,36,92,46,46,84,24,8,8,12,16,16,16,16,
32,32,1,7,8,14,6,7,7,1,28,28,9,46,56,4,2,4,4,28,28,8,8,84,84,46,46,92,84,84,1,
2,6,1,6,4,21,23,6,46,42,4,4,3,4,8,8,8,84,84,12,12,168,168,24,24,8,8,16,8,8,16,
16,16,4,4,8,4,4,8,8,8,8,8,4,4,8,4,2,2,4,4,4,4,8,8,8,8,2,4,8,8,8,4,4,8,8,8,8,8,
7,21,28,4,4,8,28,84,42,42,84,1,2,23,21,84,84,7,42,3,6,2,2,56,4,4,2,1,1,2,1,2,
2,1,1,1,2,1,2,2,2,2,4,8,1,2,4,4,8,4,4,2,2,4,8,8,2,2,4,4,2,2,4,4,4,4,4,2,2,4,2,
2,4,4,2,2,4,4,4,4,4,4,2,4,8,2,2,4,4,4,4,4,4,4,8,4,4,8,8,8,8,8,8,4,4,8,8,4,8,8,
4,8,4,4,4,8,8,4,4,8,8,8,8,8,7,21,1,28,7,2,1,1,2,2,1,2,1,1,2,1,2,1,2,1,2,1,1,1,
2,2,2,2,2,4,4,8,4,4,8,2,2,4,4,2,2,4,4,4,2,2,2,4,4,4,4,4,4,4,4,2,2,4,4,2,2,4,4,
2,2,4,4,4,4,4,4,1,2,1,1,2,2,1,1,2,2,1,1,2,2,4,4,2,1],[1,1,18,40,4,10,28,9,24,
20,48,48,6,2,4,8,6,12,16,12,11,14,20,6,2,12,4,4,12,10,20,18,8,8,48,8,2,1,2,4,
6,4,4,10,1,2,2,2,9,12,6,4,12,6,4,6,12,4,4,8,8,2,4,6,4,2,6,4,4,4,6,4,12,4,4,6,
12,8,4,8,8,1,1,2,1,2,2,2,1,4,1,2,2,2,4,2,4,2,1,2,2,1,6,4,6,4,2,6,4,2,4,4,6,4,
6,2,6,4,1,1,2,1,2,2,2,2,2,1,2,1,1,1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,18,40,14,
28,9,24,20,48,48,2,2,8,8,6,12,16,12,11,14,20,10,6,4,4,4,12,6,4,20,18,8,8,48,8,
2,1,2,4,6,4,4,6,4,1,2,2,2,9,12,6,4,12,6,4,6,4,12,4,8,8,2,4,6,4,2,6,4,4,4,6,4,
12,4,4,12,6,8,4,8,8,1,1,2,1,2,2,2,1,4,1,2,2,2,4,2,4,2,1,2,2,1,6,4,6,4,2,6,4,2,
4,4,6,4,6,2,6,4,1,1,2,1,2,2,2,2,2,1,2,1,1,1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,
34,24,14,28,17,72,12,48,2,2,8,8,18,16,12,11,14,20,2,6,12,4,4,12,6,4,12,26,56,
8,8,2,1,2,4,6,4,4,6,4,3,11,14,6,4,12,6,12,6,4,4,4,8,8,2,4,6,4,2,6,4,4,4,10,20,
12,6,8,4,8,8,1,1,2,1,2,3,6,1,2,2,2,4,2,4,2,1,2,2,1,10,6,4,2,6,4,2,4,4,6,4,6,2,
6,4,1,1,2,1,2,2,2,2,2,1,2,1,1,1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,34,24,4,10,28,
17,72,12,48,6,2,4,8,18,16,12,11,14,20,14,2,4,4,4,12,10,12,26,56,8,8,2,1,2,4,6,
4,4,10,3,11,14,6,4,12,14,4,6,4,4,4,8,8,2,4,10,2,6,4,4,4,10,20,6,20,4,8,8,1,1,
2,3,3,6,1,2,2,2,4,6,2,1,2,2,1,10,10,2,6,4,2,4,4,6,4,6,2,6,4,1,3,3,2,2,2,2,1,2,
1,1,1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,10,40,4,14,2,2,8,5,20,16,48,6,10,4,4,12,
17,2,4,20,8,8,2,6,20,8,12,10,8,20,4,4,10,8,8,1,5,4,4,10,4,4,10,2,2,1,2,4,2,2,
2,6,12,4,2,4,12,6,8,12,4,4,6,4,6,4,6,6,4,4,4,4,8,6,8,8,4,8,8,1,1,2,1,2,3,2,2,
1,1,4,2,2,2,6,4,4,2,4,2,1,2,2,2,4,2,6,4,4,2,6,4,4,4,2,6,4,4,1,1,1,1,2,2,2,2,1,
2,2,2,1,1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,10,40,18,2,2,8,5,20,16,48,2,10,8,4,
12,17,2,4,20,8,8,6,10,12,8,12,6,12,20,4,4,10,8,8,1,5,4,4,10,4,4,6,4,2,2,1,2,4,
2,2,2,6,12,4,2,4,6,12,8,4,4,12,6,4,4,6,6,6,4,4,4,4,8,6,8,8,4,8,8,1,1,2,2,1,3,
2,2,1,1,4,2,2,2,6,4,4,2,4,2,1,2,2,2,4,2,6,4,4,2,6,4,4,4,2,6,4,4,1,1,1,1,2,2,2,
2,1,2,2,2,1,1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,14,56,5,15,2,2,20,7,12,28,56,32,
128,2,10,4,8,3,14,8,32,32,32,11,11,2,10,4,28,36,4,8,8,4,4,16,16,24,20,16,16,
32,12,16,16,16,16,16,16,8,2,1,1,4,8,3,10,8,4,2,4,4,4,4,8,8,16,8,8,12,24,8,12,
1,4,8,1,6,1,6,8,8,2,4,3,4,8,4,16,16,8,16,8,8,24,24,8,8,8,8,2,2,4,6,6,4,12,12,
4,4,2,2,4,4,2,2,8,8,8,4,8,8,8,8,4,4,4,4,6,6,4,4,4,12,12,1,1,4,4,4,8,4,2,4,1,2,
4,1,4,8,4,6,4,2,2,2,2,1,2,2,2,2,4,2,2,4,4,8,2,2,1,1,2,4,4,4,2,4,4,1,1,2,2,6,2,
6,1,1,2,2,2,4,2,4,4,2,4,2,4,1,1,2,2,2,6,6,6,6,4,2,2,6,2,4,4,4,4,4,4,6,2,2,4,4,
4,2,6,2,4,4,4,2,2,2,2,4,4,4,4,4,12,1,1,2,1,1,1,1,1,1,2,2,1,1,2,2,4,2,2,4,1,1,
2,2,1,1,1,2,2,2,2,2,4,2,2,1,1,3,1,2,2,3,1,2,2,3,2,1,4,2,2,4,2,2,1,1,1,1,2,1,1,
1,1,1,1,1,1,1,1],[1,1,10,24,4,22,6,6,5,12,48,6,18,12,2,6,12,21,6,20,2,14,12,8,
12,10,12,10,8,8,3,7,2,4,10,4,4,10,9,18,6,12,4,2,12,20,6,4,4,4,8,8,14,12,10,6,
6,4,4,4,6,4,1,1,2,6,3,3,9,1,2,2,6,10,4,6,6,1,2,2,2,6,4,2,6,4,4,2,6,4,4,1,3,3,
3,3,2,2,2,1,1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,10,24,26,6,6,5,12,48,2,18,16,2,
6,12,21,6,20,6,2,20,8,12,6,4,12,10,8,8,3,7,2,4,10,4,4,6,4,9,18,6,12,4,2,12,6,
12,8,4,4,4,8,8,6,20,6,4,6,6,4,4,4,6,4,1,1,2,6,1,2,3,9,1,2,2,6,6,4,4,2,4,6,1,2,
2,2,6,4,2,6,4,4,2,6,4,4,1,1,2,3,1,2,3,2,2,2,1,1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,
1,22,40,3,13,2,2,12,11,36,20,88,32,32,1,3,4,4,9,8,22,24,8,16,8,8,8,13,15,2,6,
4,12,12,4,8,8,16,12,36,10,10,12,8,8,8,12,8,8,16,16,32,1,3,2,2,1,1,1,5,6,2,4,4,
6,6,12,12,12,1,2,2,1,2,3,5,2,18,18,4,3,4,8,4,4,4,4,24,24,8,8,8,8,2,2,4,6,6,4,
4,4,4,4,2,2,4,8,8,8,8,8,8,16,8,8,8,8,2,4,4,6,6,4,4,4,4,4,4,12,1,3,3,3,6,1,2,2,
1,1,2,2,2,1,2,2,2,4,1,4,4,4,4,8,2,2,1,1,2,4,8,4,4,1,1,2,2,2,2,2,1,1,2,2,2,2,2,
4,2,2,4,4,2,8,8,2,2,1,1,2,2,2,2,2,2,2,4,2,2,6,2,2,2,2,4,2,2,2,6,6,2,2,4,4,1,1,
2,1,1,1,1,2,2,1,1,1,1,1,1,1,1,1,2,4,4,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,3,2,2,2,
2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,18,8,32,6,9,24,8,32,2,
6,9,18,16,24,24,6,9,16,2,16,8,24,1,6,8,2,2,1],[1,1,6,5,8,7,9,3,5,8,6,3,9,1,9,
3,3,3,4,4,4,11,9,8,3,3,1,3,3,3,3,3,4,1,2,3,1,9,4,3,3,9,3,3,4,4,4,1,2,1,1,3,1,
3,3,3,3,3,1,4,1,3,1,1,1,1],[1,1,6,36,5,8,4,6,3,18,72,5,8,6,6,6,3,1,18,3,9,9,9,
9,9,18,3,4,1,1,17,15,8,3,3,24,3,1,3,3,9,9,9,9,4,1,2,3,3,1,12,1,3,3,3,3,3,3,3,
6,3,4,4,4,1,3,3,2,1,1,1,3,3,3,3,1,4,3,1,1,1,1,1],[1,1,18,5,8,30,9,5,8,6,3,1,
27,27,3,9,9,4,23,24,21,3,9,3,9,9,3,9,9,4,1,2,3,1,21,3,3,3,9,9,4,8,3,1,3,6,1,3,
3,3,3,3,3,4,1,3,3,1,1,1,1],[1,1,18,5,8,9,21,9,5,8,6,21,1,9,27,3,9,9,4,5,18,24,
18,3,3,9,3,9,9,3,9,9,4,1,2,1,3,18,3,3,3,3,3,6,9,4,8,3,1,3,6,1,3,3,3,3,3,3,4,1,
3,3,1,1,1,1],[1,1,42,1,8,4,18,21,1,8,4,24,14,24,24,24,1,3,9,27,3,9,27,4,3,4,9,
7,12,24,12,3,9,9,9,3,9,9,4,8,8,2,1,12,1,3,3,3,9,3,9,9,4,4,4,1,3,3,6,3,1,3,3,3,
3,3,1,4,3,3,1,1,1,1],[1,1,2,72,1,8,4,3,3,1,36,72,1,8,4,8,2,8,8,12,12,48,48,24,
12,12,1,3,18,3,18,18,18,4,3,3,6,6,12,48,24,12,24,24,48,24,24,1,8,4,1,9,18,18,
9,4,8,4,4,8,2,1,1,3,3,6,3,3,3,3,6,12,24,9,4,4,8,8,4,2,1,3,3,12,1,3,3,3,3,3,3,
1,4,3,6,3,1,1,1,1],[1,1,2,72,4,5,4,3,3,1,36,72,4,5,4,5,8,5,8,24,24,36,36,24,
12,12,1,3,18,3,18,18,18,4,3,3,12,12,12,36,18,12,18,24,36,48,24,4,5,4,1,9,18,
18,9,4,8,4,4,8,1,1,1,1,3,3,3,6,3,3,3,12,12,18,9,4,4,8,8,4,1,1,1,3,3,6,6,1,3,3,
3,3,3,3,1,4,3,3,3,3,1,1,1,1],[1,1,12,42,1,8,4,12,6,21,72,1,8,4,12,24,2,12,8,
24,24,12,12,1,9,18,9,3,9,18,9,3,4,3,3,1,6,4,24,12,24,24,24,6,12,3,9,3,9,9,9,9,
4,4,4,8,8,2,1,6,1,3,3,3,3,3,3,6,12,9,4,4,4,8,8,3,1,3,6,1,3,3,3,3,3,3,1,4,3,3,
1,1,1,1],[1,1,54,1,8,4,3,9,27,1,8,4,18,24,24,12,12,1,3,27,3,9,9,27,4,1,4,9,12,
9,24,12,3,9,9,9,3,9,9,4,4,4,2,1,1,3,3,9,3,3,9,12,9,4,4,4,3,1,3,6,3,1,3,3,3,3,
3,1,4,3,3,1,1,1,1],[1,1,54,5,8,6,6,27,5,8,6,36,24,24,3,1,9,18,3,9,18,9,9,4,4,
1,6,15,3,18,24,3,9,9,9,3,9,9,4,4,4,1,2,1,3,3,6,3,3,3,12,3,6,9,4,4,4,3,1,3,6,1,
3,3,3,3,3,3,1,4,3,3,1,1,1,1],[1,1,54,5,8,3,9,27,5,8,42,24,24,3,1,27,3,9,27,9,
4,1,4,12,9,21,24,9,3,9,9,3,9,9,4,4,4,1,2,3,1,3,3,9,3,9,12,9,4,4,4,3,1,3,6,1,3,
3,3,3,3,3,1,4,3,3,1,1,1,1],[1,1,2,24,1,8,4,6,12,1,12,1,8,4,8,2,8,8,24,2,6,1,
12,9,3,9,27,3,9,9,9,4,1,3,3,3,12,1,3,1,8,4,12,1,3,9,3,9,9,9,4,8,8,2,1,1,3,1,3,
3,3,3,3,3,12,3,3,6,3,4,4,4,3,2,1,3,1,3,1,1,3,3,3,1,4,3,1,1,1,1,1],[1,1,12,54,
1,8,4,3,3,6,27,72,1,8,4,12,12,6,8,24,24,24,1,18,9,3,9,18,9,9,3,4,1,3,12,6,3,4,
12,24,24,6,3,9,3,9,9,9,9,4,8,8,2,1,6,1,3,3,3,12,3,3,3,6,9,4,4,4,3,1,3,6,1,3,3,
3,3,3,3,1,4,3,3,1,1,1,1],[1,1,14,1,8,4,3,9,7,1,8,4,8,14,8,8,8,1,3,3,9,3,3,9,4,
4,3,9,4,7,8,4,1,3,3,3,3,3,3,4,8,8,2,1,4,1,3,3,3,3,9,9,3,4,4,4,1,2,1,1,1,3,3,3,
3,3,3,1,4,1,3,1,1,1,1],[1,1,6,36,5,8,1,21,3,18,5,8,6,36,24,24,1,9,3,18,18,18,
9,3,4,18,24,5,3,8,18,24,3,1,9,9,9,9,9,9,4,4,4,1,2,6,1,3,3,3,3,3,3,18,24,9,4,4,
4,1,2,3,6,3,6,1,3,3,3,3,3,3,1,4,3,6,3,1,1,1,1],[1,1,12,30,2,2,7,15,6,15,72,2,
2,12,12,12,4,4,6,6,15,9,18,27,9,9,6,9,9,1,2,8,6,8,6,2,6,2,2,6,12,12,12,12,6,6,
9,9,9,9,9,9,9,1,1,1,4,4,6,6,6,8,6,2,6,6,12,6,6,6,9,1,2,2,2,2,1,1,4,4,6,6,1,1,
1,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,10,30,10,10,5,16,10,20,25,10,20,10,16,
5,5,10,5,20,20,20,10,16,1,5,5,10,10,5,1,1],[1,1,10,40,10,20,5,20,40,16,10,10,
15,10,20,20,10,16,32,5,10,5,5,20,10,20,20,16,1,5,5,10,10,5,1,1],[1,1,30,1,15,
15,60,16,20,15,15,45,60,16,15,15,20,60,45,16,6,10,15,1,1,1],[1,9,54,3,4,15,81,
9,9,9,9,54,9,27,12,45,9,9,54,27,3,6,7,6,27,27,27,27,27,27,9,9,18,3,12,3,3,3,
12,3,18,9,9,9,6,1,1,2,9,9,9,9,9,9,1,1,3,3,3,3,6,1,3,3,1,1,1,1],[1,9,54,3,4,15,
81,9,9,9,9,54,9,27,12,9,45,9,27,54,3,6,7,6,27,27,27,27,27,27,9,9,18,12,3,3,3,
3,12,3,9,9,9,18,6,1,1,2,9,9,9,9,9,9,1,1,3,3,3,3,6,1,3,3,1,1,1,1],[1,9,54,3,4,
15,81,9,9,9,9,54,9,27,12,9,45,9,81,3,6,7,6,27,27,27,54,27,9,9,18,15,3,3,3,3,
12,9,9,9,18,6,1,1,2,9,18,9,9,9,1,1,3,3,6,6,1,3,3,1,1,1,1],[1,9,54,3,4,15,81,9,
9,9,9,54,9,27,12,45,9,9,81,3,6,7,6,27,54,27,27,27,9,9,18,15,3,3,3,3,12,18,9,9,
9,6,1,1,2,9,9,9,9,18,1,1,3,3,6,6,1,3,3,1,1,1,1],[1,1,54,3,4,15,27,3,4,15,54,
18,18,18,18,27,27,3,6,7,6,9,9,18,27,27,3,6,7,3,3,6,18,18,18,18,6,6,6,1,1,2,9,
9,18,3,3,6,1,1,2,6,3,3,6,6,1,3,3,6,1,1,1,1],[1,1,54,3,4,15,27,3,4,15,54,54,36,
36,54,54,3,6,7,6,27,36,54,27,3,6,7,9,18,9,18,12,12,9,9,6,1,1,2,9,9,18,12,1,1,
1,1,2,3,3,1,1,3,1,1,1,1],[1,1,18,3,4,15,9,3,4,15,18,18,18,18,24,3,6,7,6,12,9,
18,9,3,6,7,18,6,6,15,15,6,1,1,2,3,3,15,9,1,1,1,1,2,6,1,1,3,1,1,1,1],[1,1,42,
28,42,21,56,28,56,8,14,21,84,28,14,8,21,8,14,28,8,14,1,1],[1,21,28,28,21,14,
42,28,28,28,8,21,21,21,28,14,8,21,8,14,8,1,1],[1,21,28,28,21,14,42,28,28,28,8,
21,21,21,28,14,8,21,8,14,8,1,1],[1,1,14,28,7,28,28,56,8,7,8,28,7,8,1,8,7,14,8,
7,1,1,1,1],[1,1,14,28,7,28,28,56,8,7,8,28,7,8,1,8,7,14,8,7,1,1,1,1],[1,1,28,
21,28,8,7,7,21,28,8,21,8,7,7,8,7,7,1],[1,1,11,20,15,6,11,20,5,10,6,10,15,6,10,
6,5,10,5,6,10,6,5,1,1],[1,1,1,20,10,15,6,1,20,10,5,10,6,10,15,6,10,6,10,5,5,6,
10,6,5,1,1],[1,1,2,24,16,12,18,6,6,1,12,16,32,32,18,12,12,2,6,9,6,36,36,12,18,
16,16,16,3,3,2,12,12,18,9,18,36,36,18,12,8,16,3,6,9,9,18,18,12,12,8,12,1,9,9,
12,3,1,1],[1,1,2,24,16,30,6,6,1,12,16,32,32,6,12,24,2,6,9,6,36,12,24,12,6,12,
16,16,16,3,3,2,12,12,6,12,9,18,12,24,12,24,6,12,12,8,16,3,6,3,6,9,6,12,6,12,4,
8,12,8,4,8,1,3,6,3,6,4,8,3,1,1],[1,1,26,16,30,6,6,13,16,32,32,30,12,2,6,45,6,
36,30,16,16,16,3,15,2,30,9,18,36,36,18,12,8,16,3,6,9,9,18,18,12,12,8,12,1,9,9,
12,3,1,1],[1,1,14,24,16,1,19,6,6,12,7,12,12,24,16,32,12,12,2,6,3,6,7,15,6,6,
12,12,12,12,24,24,24,12,24,12,12,12,24,24,16,16,16,3,3,2,3,6,12,6,4,4,8,8,12,
12,12,12,24,3,6,9,6,6,18,3,6,6,6,3,12,12,12,12,12,8,16,1,2,3,6,2,6,3,6,6,3,9,
3,6,3,6,6,12,6,6,12,12,12,12,12,4,4,8,8,12,8,1,3,6,6,3,6,6,4,8,8,1,1,1],[1,1,
14,24,16,3,9,4,4,24,7,12,12,24,16,16,16,1,3,1,3,12,12,3,6,9,9,4,12,12,12,12,
12,24,24,12,12,6,6,6,6,12,12,12,12,24,24,16,16,16,1,1,3,3,3,6,12,6,6,6,12,4,4,
6,6,12,8,8,12,12,3,6,12,3,9,12,3,3,6,3,3,3,6,6,6,6,12,6,6,6,4,4,12,16,1,3,2,3,
3,3,1,4,3,6,3,6,9,3,6,3,6,3,6,3,6,3,3,6,6,12,6,6,6,6,6,6,6,4,4,8,8,4,4,12,1,3,
6,3,3,3,6,3,3,4,8,4,4,1,1,1],[1,1,30,72,4,7,21,15,60,36,72,288,4,24,24,24,3,9,
20,15,18,72,72,72,21,45,36,36,12,12,36,36,18,18,72,60,4,4,4,12,12,12,96,12,18,
3,15,15,18,20,60,24,24,18,18,36,9,18,18,45,36,36,72,72,12,12,36,36,12,12,12,
18,18,36,36,36,1,12,12,4,4,12,12,12,12,12,12,12,24,6,10,12,12,24,15,6,9,9,18,
12,12,12,18,18,18,18,18,36,36,36,36,36,36,36,1,3,1,1,3,3,3,4,4,4,12,12,12,12,
1,3,3,12,12,12,12,18,18,1,1,3,3,3,3,3,3,3,3,3,4,6,3,1,1,1,3,3,3,3,1],[1,1,54,
24,16,1,15,72,27,132,12,72,16,32,32,20,33,24,18,24,15,45,36,12,36,60,144,144,
16,16,16,12,3,3,15,15,20,60,18,18,18,18,45,36,36,18,36,36,8,16,12,24,24,6,10,
15,3,18,18,9,18,18,36,36,8,12,12,12,1,9,9,12,12,1,12,3,1,1,1,1],[1,1,2,48,16,
18,6,6,1,24,48,16,32,32,32,12,12,2,6,12,9,6,6,6,24,12,12,24,24,16,16,64,16,3,
3,2,9,18,6,12,12,12,12,12,24,24,6,12,12,8,16,6,9,3,3,6,6,6,12,12,12,8,4,4,16,
1,3,3,6,6,4,8,3,1,1],[1,1,2,48,16,3,3,3,3,18,1,24,48,16,16,16,32,32,1,3,1,3,
12,12,12,3,3,9,12,6,6,12,12,12,12,12,12,12,32,16,16,32,16,1,1,3,3,9,9,9,6,6,6,
12,12,12,12,12,12,12,12,6,6,6,4,4,12,16,3,3,9,3,3,3,3,6,6,6,6,6,6,4,4,12,4,4,
8,8,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,1,2,48,16,18,6,6,1,24,48,16,32,32,16,16,12,
12,2,6,12,9,6,6,6,24,12,12,24,24,16,16,32,32,16,3,3,2,9,18,6,12,12,12,12,12,
24,24,6,12,12,8,16,6,9,3,3,6,6,6,12,12,12,8,4,4,8,8,1,3,3,6,6,4,8,3,1,1],[1,1,
2,48,16,3,3,3,3,18,1,24,48,16,32,32,16,16,1,3,1,3,12,12,12,3,3,9,12,6,6,12,12,
12,12,12,12,12,16,16,32,32,16,1,1,3,3,9,9,9,6,6,6,12,12,12,12,12,12,12,12,6,6,
6,4,4,12,16,3,3,9,3,3,3,3,6,6,6,6,6,6,4,4,12,4,4,4,4,4,4,1,3,3,3,3,3,3,4,4,4,
3,1,1],[1,1,10,16,22,6,6,5,16,64,18,12,2,6,21,6,12,10,16,32,3,7,2,10,9,18,12,
12,6,12,8,16,1,6,3,9,6,6,4,16,8,1,3,3,4,1,1,1],[1,1,2,8,16,4,18,6,6,1,4,16,32,
32,6,12,12,2,6,9,6,12,12,4,6,16,16,16,3,3,2,4,4,6,9,18,12,12,6,12,8,16,1,6,3,
9,6,6,4,12,8,4,1,3,3,4,1,1,1],[1,1,14,72,4,9,27,7,12,36,72,96,96,4,8,8,24,4,
24,4,24,3,18,24,24,24,24,15,15,60,84,6,6,12,24,48,36,24,48,24,12,4,12,12,12,4,
12,4,6,4,3,1,12,24,3,18,24,4,4,12,12,8,8,48,24,12,24,48,24,36,3,6,6,12,6,3,24,
12,12,12,24,48,24,24,6,6,12,6,6,12,12,12,12,12,6,6,12,6,3,3,6,6,6,6,12,12,12,
12,6,6,12,12,12,12,12,1,4,12,4,12,12,12,12,12,12,12,12,24,3,3,12,4,4,8,12,6,
12,1,2,6,3,12,24,3,6,6,6,12,6,6,3,3,6,12,12,3,3,6,6,3,3,6,6,6,6,6,6,6,12,6,6,
12,12,12,12,12,12,6,6,12,12,6,6,12,12,6,6,12,12,12,12,12,1,1,2,2,1,1,2,1,1,1,
2,4,12,4,4,12,12,12,3,1,3,6,6,12,6,6,12,3,3,6,6,3,3,6,6,1,1,2,1,1,2,2,1,1,2,1,
1,2,2,2,2,2,1,1,2,2,1,2,4,3,1,1,2,1,1,2,1,1,2,2,1,1],[1,1,10,72,4,2,16,12,5,
36,24,48,96,4,16,8,32,3,1,10,6,12,24,15,6,18,18,10,6,12,6,18,12,12,24,24,10,
24,24,4,8,4,4,16,32,8,5,10,6,6,2,6,9,3,3,3,6,6,12,12,12,6,18,1,3,15,21,12,6,6,
9,3,3,9,6,12,6,6,6,6,12,3,9,12,12,12,6,6,1,8,4,4,4,8,4,4,4,4,8,8,1,1,3,3,3,3,
3,3,1,3,3,3,9,3,3,6,3,3,3,3,3,3,9,3,6,6,6,6,6,12,6,6,6,3,3,3,9,6,6,1,2,1,2,2,
1,2,4,4,4,4,4,4,4,3,3,3,1,3,3,3,3,3,3,3,3,3,3,3,1,2,1,1,1,2,1,1,1,2,2,4,3,1,1,
1,1,1,1,1,1],[1,1,10,72,4,6,12,12,5,36,24,48,96,4,16,16,24,1,3,10,6,12,24,15,
6,6,30,6,10,12,18,6,12,12,24,24,10,24,24,4,12,8,12,32,8,5,10,6,2,6,6,3,9,3,3,
6,6,12,12,12,18,6,3,1,21,15,12,6,6,3,9,9,3,6,12,6,6,6,6,12,9,3,12,12,12,6,6,1,
8,4,4,4,12,4,4,12,8,1,3,1,3,3,3,3,1,3,3,3,9,3,3,3,6,3,3,3,3,3,3,3,9,6,6,6,6,6,
12,6,6,6,3,3,9,3,6,6,1,2,1,2,1,2,2,4,4,4,4,4,4,4,3,3,3,3,1,3,3,3,3,3,3,3,3,3,
3,1,2,1,1,1,2,1,1,1,2,2,4,3,1,1,1,1,1,1,1,1],[1,1,10,48,4,30,6,6,5,24,96,4,16,
8,16,4,10,24,24,21,6,48,12,4,12,24,12,12,24,10,24,24,12,12,4,8,32,8,3,5,12,10,
8,12,12,12,3,12,12,24,12,4,12,12,24,12,12,12,12,12,12,6,12,12,12,12,12,1,8,4,
12,4,4,4,4,12,8,1,3,4,3,3,3,3,4,6,6,12,12,6,6,3,6,6,12,12,6,12,12,6,12,12,1,2,
1,2,2,2,1,4,4,4,4,4,4,4,3,3,4,6,6,3,6,6,6,1,1,2,2,1,1,1,2,1,1,2,4,3,1,1,1,1,1,
1,1,1],[1,1,10,48,4,8,22,6,6,5,24,96,4,16,16,8,16,10,12,24,21,6,48,4,12,12,24,
24,24,10,24,24,4,8,8,4,8,4,32,8,3,5,12,10,12,8,24,3,12,12,24,12,4,12,24,12,12,
12,12,12,12,12,6,12,12,12,12,12,1,8,4,8,4,4,4,4,4,4,8,8,1,3,4,3,3,3,3,4,6,6,
12,12,6,6,3,6,6,12,12,6,12,12,6,12,12,1,2,1,2,2,1,2,4,4,4,4,4,4,4,3,3,4,6,6,3,
6,6,6,1,1,2,2,1,1,1,2,1,1,2,4,3,1,1,1,1,1,1,1,1],[1,1,26,48,16,6,12,13,56,24,
48,16,32,32,16,16,4,8,14,16,12,3,6,6,6,12,12,12,12,12,24,24,24,16,16,32,32,16,
8,2,1,2,3,3,6,6,12,12,12,24,24,6,12,6,12,12,12,24,24,4,8,8,16,16,3,6,3,3,6,6,
6,12,6,12,4,8,4,4,8,8,8,1,3,6,3,6,4,8,3,1,1],[1,1,14,56,16,7,21,7,28,28,168,
224,16,32,32,7,21,28,7,8,42,56,56,64,112,21,21,84,84,28,84,42,42,84,16,16,16,
4,8,1,7,8,14,7,7,28,28,7,42,56,28,28,84,84,42,42,84,84,84,21,21,42,42,84,84,
168,168,4,4,4,8,8,8,16,16,16,7,21,28,28,84,42,42,84,21,21,84,84,7,42,56,4,4,4,
4,4,4,4,4,8,8,4,8,7,21,28,7,1,4,4,4,8,1,1,1,1,1],[1,1,30,24,4,3,17,15,60,12,
24,96,4,24,1,3,20,15,6,24,24,24,17,45,12,12,4,4,12,12,6,6,24,60,12,20,12,6,1,
15,15,6,20,60,8,8,6,6,12,3,6,6,45,12,12,24,24,4,4,12,12,4,4,4,6,6,12,12,12,1,
4,4,12,4,4,20,12,6,10,4,4,8,15,2,3,3,6,4,4,4,6,6,6,6,6,12,12,12,12,12,12,12,1,
3,2,2,3,4,4,4,4,4,4,4,1,1,1,4,4,4,4,6,6,1,1,1,2,1,1,3,3,2,4,1,1,1,1,1,1,1,1,
1],[1,1,50,16,18,60,25,104,16,32,32,6,4,8,26,16,27,30,12,54,120,16,16,16,8,2,
1,2,18,3,27,30,12,12,6,18,36,4,8,16,8,16,16,3,3,6,6,6,3,18,18,4,4,8,4,8,8,8,1,
6,3,3,6,4,8,3,1,1],[1,1,26,8,16,4,6,12,13,56,4,16,32,32,6,4,8,14,16,3,6,12,12,
4,6,12,24,16,16,16,8,2,1,2,4,4,6,3,3,6,12,6,6,12,12,4,8,8,16,16,1,3,3,6,6,6,6,
4,4,4,8,8,1,3,3,4,1,1,1],[1,1,2,32,16,4,6,12,1,16,24,32,16,32,32,6,4,8,6,8,16,
3,6,12,12,4,6,12,24,16,16,16,8,2,1,2,4,4,6,3,3,6,12,6,6,6,6,12,4,8,8,16,16,1,
3,3,6,6,6,6,4,4,4,8,8,1,3,3,4,1,1,1],[1,1,18,72,4,2,12,6,6,9,24,36,24,48,96,4,
24,16,3,1,2,6,6,12,24,9,6,18,18,6,10,12,6,18,12,12,24,24,18,24,24,24,24,4,8,
12,12,8,6,6,6,2,6,9,3,3,3,9,12,6,6,12,12,6,18,12,3,9,9,3,12,6,6,3,1,9,3,6,12,
6,6,6,6,21,15,12,12,12,6,6,1,4,4,4,8,12,4,4,12,8,1,1,3,3,3,3,1,3,3,3,3,3,6,3,
3,3,3,3,3,9,3,3,3,9,6,6,6,6,6,6,12,6,6,3,3,3,9,6,6,3,2,1,3,2,4,4,4,4,4,4,4,1,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,1,3,2,1,3,2,4,3,1,1,1,1,1,1,1,1],[1,1,18,72,
4,6,8,6,6,9,24,36,24,48,96,4,40,1,3,2,6,6,12,24,9,6,6,30,10,6,12,18,6,12,12,
24,24,18,24,24,24,24,4,20,20,6,6,2,6,6,3,9,3,3,9,12,6,6,12,12,18,6,12,9,3,3,9,
12,6,6,1,3,3,9,6,12,6,6,6,6,15,21,12,12,12,6,6,1,4,4,4,12,12,4,20,1,3,1,3,3,3,
3,1,3,3,3,3,6,3,3,3,3,3,9,3,3,3,9,3,6,6,6,6,6,6,12,6,6,3,3,9,3,6,6,3,2,1,3,2,
4,4,4,4,4,4,4,3,1,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,1,3,2,1,3,2,4,3,1,1,1,1,1,1,
1,1],[1,1,30,24,4,1,27,6,6,12,15,60,12,24,4,24,16,20,12,15,6,15,51,6,6,12,12,
12,12,24,24,12,60,24,24,8,4,12,8,12,3,15,15,6,6,20,60,12,12,3,3,6,12,3,6,45,
12,24,24,24,12,12,12,12,12,24,1,8,4,4,4,12,12,4,4,8,6,10,15,3,6,3,3,3,3,3,12,
12,6,12,12,6,12,12,12,12,24,1,3,2,3,2,4,4,4,4,4,4,4,1,3,6,3,6,6,6,6,6,1,1,2,1,
1,2,3,1,3,4,3,1,1,1,1,1,1,1,1],[1,1,6,48,16,1,27,6,6,12,3,4,24,48,32,16,16,16,
4,12,16,1,12,8,3,15,6,6,48,24,12,12,12,12,24,12,24,36,12,12,12,12,16,16,16,4,
8,3,3,12,1,12,8,6,4,4,12,12,24,12,24,12,3,3,6,12,3,9,6,6,6,12,24,12,12,12,12,
12,12,6,6,12,12,12,6,6,12,12,4,4,4,8,4,4,16,6,4,6,3,3,12,3,3,3,3,3,3,3,6,6,12,
6,6,6,6,6,6,6,6,6,6,12,6,6,12,12,4,4,4,4,4,4,4,4,4,8,1,3,3,3,3,3,3,6,6,6,6,1,
4,4,4,3,1,1,1,1],[1,1,30,24,16,1,27,6,6,12,15,60,12,24,16,16,16,20,12,15,6,15,
51,6,6,12,12,12,12,24,24,12,60,24,24,16,16,16,12,3,15,15,6,6,20,60,12,12,3,3,
6,12,3,6,45,12,24,24,24,12,12,12,12,12,24,8,12,4,4,16,6,10,15,3,6,3,3,3,3,3,
12,12,6,12,12,6,12,12,12,12,24,8,8,8,4,4,12,1,3,6,3,6,6,6,6,6,1,8,4,3,1,1,1,
1],[1,1,14,24,4,7,13,6,6,12,7,12,12,24,4,8,8,8,3,9,4,3,6,13,9,6,6,12,12,12,12,
10,10,12,12,12,6,6,12,4,4,4,4,4,4,4,3,1,3,6,6,4,4,6,6,12,3,3,6,3,6,3,6,6,6,6,
6,6,10,9,9,6,6,6,18,12,12,12,12,6,6,1,4,4,4,4,4,4,4,4,4,4,4,1,3,3,4,4,6,6,12,
6,3,3,3,9,6,6,3,3,3,3,6,6,6,6,3,3,6,6,6,6,6,1,1,1,1,1,1,1,4,4,4,4,4,4,4,1,3,3,
3,3,3,3,6,6,6,6,1,1,1,1,1,1,1,1,1,1,1,4,3,1,1,1,1,1,1,1,1],[1,1,30,56,16,3,9,
6,6,12,15,28,28,72,80,96,16,32,32,16,16,1,3,4,7,18,8,20,16,24,24,24,24,3,3,6,
6,18,18,12,12,6,6,12,18,30,12,12,24,12,12,12,12,36,36,24,24,24,24,16,16,32,32,
16,4,8,1,2,3,6,1,1,3,6,6,3,3,9,9,3,3,6,6,6,3,3,6,3,3,3,9,3,6,6,3,6,6,6,18,15,
15,24,24,12,12,24,24,24,24,6,6,12,6,6,6,6,3,3,6,6,6,6,6,6,6,12,6,6,6,6,4,4,4,
8,8,16,4,4,8,16,1,3,3,3,6,3,3,3,3,6,6,6,3,3,3,3,3,6,6,3,3,3,3,3,3,3,3,6,3,3,3,
3,3,3,6,3,3,3,3,6,6,6,6,6,6,6,6,4,4,4,4,4,4,4,8,4,4,8,8,1,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,1,4,4,4,3,1,1,1,1],[1,1,14,72,16,3,9,6,6,12,7,28,36,120,32,96,16,32,
32,16,16,1,3,4,7,8,30,24,8,16,24,24,24,9,9,6,6,12,12,12,12,6,6,12,12,36,18,18,
12,24,24,24,24,24,48,48,16,16,32,32,16,4,8,1,3,2,6,1,1,3,6,6,6,6,12,12,12,3,3,
6,3,9,6,18,18,12,12,12,12,12,12,24,24,24,24,24,24,12,12,12,12,6,3,3,6,6,6,6,
12,12,12,12,4,4,4,8,8,16,4,4,8,16,4,12,3,3,3,6,3,6,6,3,6,6,12,3,3,3,3,6,3,3,6,
6,6,6,6,6,6,6,6,12,6,6,6,6,4,4,4,4,4,4,4,8,4,8,4,8,1,3,3,3,3,6,6,6,6,3,3,1,4,
4,4,3,1,1,1,1],[1,1,14,72,16,9,9,18,7,28,36,72,32,144,16,32,32,16,16,1,3,4,7,
8,18,8,16,36,36,36,9,9,18,18,12,12,6,6,12,6,6,36,36,12,36,72,36,36,36,16,16,
32,32,16,4,8,1,2,9,1,1,6,9,6,6,12,12,12,3,9,3,3,18,18,18,18,18,18,36,24,36,18,
18,24,12,12,12,12,3,3,6,6,6,6,6,12,12,12,12,4,4,4,8,8,16,4,4,8,16,4,12,3,3,9,
6,9,3,6,18,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,12,6,6,6,6,4,4,4,4,4,4,4,8,4,8,4,8,
1,3,3,3,3,6,6,6,6,3,3,1,4,4,4,3,1,1,1,1],[1,1,50,16,18,60,25,120,16,32,32,2,
12,24,30,32,15,30,12,42,120,16,16,16,12,4,3,6,6,9,15,30,12,12,6,24,48,8,16,12,
8,24,1,9,18,6,6,3,24,12,8,4,4,12,3,4,3,3,6,1,4,3,1,1,1,1],[1,1,18,32,16,18,60,
9,24,16,96,16,32,32,2,12,24,6,24,32,15,30,12,24,18,24,96,16,16,16,12,4,3,6,6,
3,6,6,6,9,24,12,12,6,12,12,24,12,12,8,16,12,8,24,1,6,6,3,12,6,6,3,12,12,12,8,
4,4,12,3,4,3,3,6,1,4,3,1,1,1,1],[1,1,30,48,16,1,15,24,15,28,24,48,32,96,16,32,
32,4,16,7,12,8,24,24,24,3,9,12,36,12,12,12,12,36,12,24,12,12,24,24,48,16,16,
16,4,8,6,3,12,1,6,8,4,4,24,12,24,12,3,3,6,3,3,6,6,3,6,12,6,12,24,12,12,12,12,
12,12,6,6,12,12,6,6,6,12,12,12,12,12,4,4,16,4,8,8,8,6,4,6,3,12,3,3,3,3,3,3,3,
3,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,6,6,12,4,4,4,4,4,4,4,4,4,8,1,3,3,3,3,3,3,6,
6,6,6,1,4,4,4,3,1,1,1,1],[1,1,14,72,4,1,19,7,12,36,72,96,4,8,16,32,4,12,3,18,
24,24,24,7,15,12,12,10,10,12,24,12,12,12,24,12,8,4,4,8,16,32,4,6,3,1,3,6,4,4,
12,12,3,6,6,6,3,12,12,12,12,12,12,12,12,12,10,9,9,6,6,6,18,12,12,12,12,12,1,8,
4,4,4,4,8,4,4,4,8,8,1,3,3,3,3,4,4,6,6,3,9,6,6,6,6,6,6,12,6,6,12,6,6,6,6,6,6,6,
12,1,1,2,1,2,2,2,4,4,4,4,4,4,4,1,3,3,3,3,3,3,6,6,6,6,1,2,1,1,2,2,1,1,1,1,2,4,
3,1,1,1,1,1,1,1,1],[1,1,6,56,16,12,3,3,30,3,4,28,72,48,16,32,32,12,1,18,8,12,
12,12,6,3,15,6,6,12,12,6,6,12,24,24,12,12,36,48,12,24,12,12,12,16,16,16,4,1,3,
3,6,3,12,12,6,1,3,3,3,6,6,9,6,6,12,6,6,6,6,12,12,6,6,12,12,3,3,6,6,6,6,6,12,6,
6,6,12,12,16,4,8,8,3,3,3,6,1,6,2,6,3,3,3,6,6,6,6,6,6,6,6,12,6,6,6,6,6,6,1,4,4,
4,1,3,3,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,1,38,24,16,12,3,3,30,19,52,12,24,48,16,
32,32,12,13,8,6,12,12,12,6,3,15,18,18,6,6,12,24,24,12,12,60,12,48,12,12,12,16,
16,16,4,1,3,3,9,12,12,6,1,3,3,3,6,6,15,12,6,6,6,6,6,12,12,6,6,12,12,3,3,6,6,6,
6,6,6,6,6,12,12,12,16,4,8,8,3,3,3,6,1,6,2,6,3,3,3,6,6,6,6,6,6,6,6,12,6,6,6,6,
6,6,1,4,4,4,1,3,3,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,1,42,32,16,6,6,6,48,21,96,16,
48,96,16,32,32,16,16,2,24,24,12,8,24,24,24,9,6,24,12,12,12,12,12,12,18,36,36,
72,24,48,16,16,32,32,16,12,3,1,6,6,6,6,3,6,3,9,18,12,6,18,24,24,24,24,12,6,12,
6,6,18,12,8,12,8,4,4,24,16,1,6,6,3,6,3,9,3,6,6,6,6,6,12,8,4,4,12,8,8,3,1,3,3,
3,3,3,1,4,3,1,1,1,1],[1,1,26,48,16,6,6,6,48,13,48,24,96,96,16,32,32,16,16,2,
12,8,24,24,24,24,24,9,6,24,12,12,12,12,12,12,18,36,36,24,24,96,16,16,32,32,16,
12,1,3,6,6,6,6,3,6,3,9,6,24,6,18,24,24,24,24,12,6,12,6,18,6,12,8,12,8,4,4,24,
16,1,6,6,3,6,3,3,9,6,6,6,6,6,12,8,4,4,8,12,8,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,
1,14,72,4,3,9,6,6,12,7,12,36,72,192,4,8,16,16,1,3,4,3,18,48,48,48,9,9,6,6,12,
12,12,12,6,6,12,12,12,18,18,48,12,48,48,48,48,12,12,8,8,32,4,12,1,1,3,6,6,4,4,
8,8,6,6,12,3,3,6,9,12,6,3,24,24,24,24,24,24,24,24,24,24,12,12,12,12,6,3,3,6,6,
6,6,12,12,12,12,1,4,12,4,8,4,12,4,4,8,4,4,8,1,2,3,6,6,12,3,6,6,12,3,3,3,3,3,3,
6,6,6,6,6,6,6,6,6,6,12,6,6,6,6,1,1,2,2,1,2,2,4,4,4,4,4,4,4,1,3,3,3,3,6,6,6,6,
3,3,1,1,2,1,1,2,1,1,1,2,2,4,3,1,1,1,1,1,1,1,1],[1,1,14,72,4,9,9,18,7,12,36,
120,144,4,4,4,16,16,1,3,4,3,30,24,36,36,36,9,9,18,18,12,12,6,6,12,30,30,12,12,
12,72,36,36,36,36,12,12,16,8,8,16,4,3,9,1,1,6,9,4,4,6,6,8,8,12,3,9,15,3,18,6,
18,18,18,18,36,36,18,18,24,24,12,12,12,12,3,3,6,6,6,6,6,12,12,12,12,1,4,12,4,
4,8,12,4,4,8,4,4,8,1,2,3,9,6,9,3,6,18,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,12,6,6,
6,6,1,1,2,2,1,2,2,4,4,4,4,4,4,4,1,3,3,3,3,6,6,6,6,3,3,1,1,2,1,1,1,1,2,1,2,2,4,
3,1,1,1,1,1,1,1,1],[1,1,18,48,4,26,12,9,24,24,96,4,24,4,2,24,6,24,15,6,48,4,
12,12,24,12,12,24,18,24,24,12,20,12,3,12,6,8,12,12,12,3,9,12,12,24,12,12,12,
12,12,12,4,12,12,6,12,12,12,12,24,12,12,1,4,4,12,4,12,4,20,3,1,4,3,3,3,4,6,6,
12,6,6,3,6,3,12,6,12,12,6,12,12,6,12,12,3,2,1,2,3,4,4,4,4,4,4,4,3,4,6,6,3,3,6,
6,6,1,1,1,2,1,1,3,2,3,4,3,1,1,1,1,1,1,1,1],[1,1,18,48,4,8,18,12,9,24,24,96,4,
24,16,2,12,6,24,15,6,48,12,4,12,24,24,24,18,24,24,4,8,8,12,12,3,12,6,12,8,24,
3,9,12,12,24,12,12,12,12,12,12,4,12,12,6,12,12,12,12,12,24,12,1,4,4,8,4,4,12,
4,12,8,3,1,4,3,3,3,4,6,6,12,6,6,3,6,3,12,6,12,12,6,12,12,6,12,12,3,2,1,2,3,4,
4,4,4,4,4,4,3,4,6,6,3,3,6,6,6,1,1,1,2,1,1,3,2,3,4,3,1,1,1,1,1,1,1,1],[1,1,14,
56,16,1,3,6,6,12,7,28,28,72,96,16,32,32,7,8,18,8,24,24,24,3,3,6,6,12,12,4,12,
12,12,24,24,24,24,24,48,48,48,48,48,48,16,16,16,4,1,1,6,1,6,3,3,4,12,6,6,6,6,
6,12,12,12,12,12,12,24,24,24,24,24,24,24,24,24,24,4,8,8,16,1,3,6,6,12,3,4,6,6,
6,6,8,8,12,12,24,24,1,4,4,4,1,3,3,4,4,1,2,2,4,1,1,1,1,1],[1,1,6,56,16,3,21,24,
3,4,28,72,80,16,32,32,1,3,12,4,1,18,8,20,16,24,3,9,12,30,30,6,6,12,6,18,12,12,
24,36,24,48,24,16,16,16,4,8,1,2,3,3,1,1,9,6,3,3,12,12,9,9,3,3,6,6,6,3,3,6,3,3,
9,3,3,6,6,12,15,15,24,24,6,6,12,6,6,6,6,6,6,12,3,3,6,6,6,6,6,6,6,12,6,6,6,6,6,
4,4,16,4,8,8,16,8,1,3,3,3,6,3,3,3,3,6,3,3,3,3,3,3,3,6,6,6,3,3,3,3,3,3,3,6,3,3,
3,3,3,6,6,3,3,3,3,6,6,6,6,6,6,6,6,4,4,4,4,4,4,4,8,4,4,1,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,1,4,4,4,3,1,1,1,1],[1,1,38,24,16,3,21,24,19,52,12,72,32,16,32,32,1,3,12,
4,13,8,18,24,8,16,21,27,12,12,12,6,6,12,12,36,6,6,12,36,48,48,16,16,16,4,8,1,
3,2,1,1,3,9,6,12,12,6,6,12,12,12,6,6,3,3,18,18,9,12,12,24,24,6,6,12,6,6,12,6,
6,12,6,3,3,6,6,6,6,6,12,12,6,6,12,4,4,16,4,8,8,16,8,4,12,3,3,3,3,6,6,6,3,6,6,
3,3,6,3,3,6,6,6,6,6,6,6,6,3,3,6,6,6,12,6,6,12,4,4,4,4,4,4,4,8,4,4,1,3,3,3,3,6,
6,3,3,6,6,1,4,4,4,3,1,1,1,1],[1,1,6,24,16,1,15,12,12,24,3,4,12,24,16,16,16,3,
9,1,6,3,9,12,12,12,12,12,12,24,24,12,12,6,6,12,12,16,16,16,4,3,1,6,12,6,6,6,
12,3,6,9,4,9,12,12,9,3,6,6,6,12,12,6,6,6,4,4,4,16,3,3,3,3,4,6,3,6,6,6,6,6,6,6,
6,3,3,6,6,1,4,4,4,1,3,3,6,6,1,1,1,4,3,1,1,1,1],[1,1,38,8,16,1,15,24,19,84,4,
24,16,32,32,20,21,8,6,8,15,45,12,4,12,60,48,48,16,16,16,12,1,1,15,15,20,60,6,
6,6,6,45,12,12,6,12,12,8,12,8,8,16,6,10,15,1,6,6,3,6,6,12,12,8,4,4,12,1,3,3,4,
4,1,4,1,1,1,1,1],[1,1,14,72,16,9,9,18,7,28,36,72,96,144,16,32,32,16,16,3,9,12,
7,8,18,24,48,36,36,36,9,9,18,18,36,36,6,6,12,18,18,36,36,36,12,72,12,12,12,16,
16,32,32,16,4,1,6,9,3,3,18,9,18,18,36,36,36,1,3,9,9,18,18,6,6,6,6,36,72,36,6,
6,72,12,12,12,12,3,3,6,6,6,6,6,12,12,12,12,4,8,4,4,8,16,12,36,9,9,9,18,3,1,2,
6,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,12,6,6,6,6,1,4,4,8,4,8,3,1,3,3,3,6,6,6,6,3,
3,1,1,2,1,2,4,3,1,1,1,2,2,1],[1,1,30,56,16,9,9,18,15,28,28,168,144,16,32,32,
16,16,3,9,12,7,42,56,36,36,36,9,9,18,18,36,36,6,6,12,18,18,36,36,36,72,12,12,
12,12,16,16,32,32,16,4,7,9,3,3,18,9,12,12,18,18,24,24,36,1,3,9,9,18,18,6,6,6,
6,36,36,6,6,72,72,12,12,12,12,3,3,6,6,6,6,6,12,12,12,12,4,8,4,4,8,16,12,12,24,
3,6,9,9,18,3,1,2,6,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,12,6,6,6,6,1,4,4,4,8,8,3,1,
3,3,3,6,6,6,6,3,3,1,1,1,2,2,4,3,1,1,1,2,2,1],[1,1,30,24,16,1,3,6,6,36,15,28,
12,24,16,32,32,12,12,7,6,3,3,6,18,24,24,12,12,24,12,12,12,12,36,12,24,16,16,
16,4,3,3,1,6,12,12,12,12,12,3,6,3,4,6,12,6,6,3,9,6,6,12,12,12,6,6,6,6,16,4,8,
8,3,3,3,3,3,3,4,3,6,12,12,12,12,6,6,6,6,6,6,1,4,4,4,1,3,3,6,6,1,2,2,4,3,1,1,1,
1],[1,1,2,48,4,3,3,3,3,18,1,24,48,4,8,16,16,1,3,1,3,12,12,12,3,3,9,12,6,6,12,
12,12,12,12,12,12,12,12,8,8,32,4,1,1,3,3,9,9,9,6,6,6,12,12,12,12,12,12,12,12,
6,6,6,1,4,12,4,8,4,12,4,4,8,3,3,9,3,3,3,3,6,6,6,6,6,6,1,4,4,4,4,4,4,4,4,1,3,3,
3,3,3,3,2,3,4,3,1,1,1,1],[1,1,2,48,4,18,6,6,1,24,48,4,4,4,16,16,12,12,2,6,12,
9,6,6,6,24,12,12,24,24,12,12,16,8,8,16,4,3,3,2,9,18,6,12,12,12,12,12,24,24,6,
12,1,4,12,4,4,8,12,4,4,8,6,9,3,3,6,6,6,12,12,1,4,4,4,4,4,4,4,4,1,3,3,6,6,2,3,
4,3,1,1,1,1],[1,1,2,48,4,3,3,3,3,18,1,24,48,4,4,4,16,16,1,3,1,3,12,12,12,3,3,
9,12,6,6,12,12,12,12,12,12,12,12,12,16,8,8,16,4,1,1,3,3,9,9,9,6,6,6,12,12,12,
12,12,12,12,12,6,6,6,1,4,12,4,4,8,12,4,4,8,3,3,9,3,3,3,3,6,6,6,6,6,6,1,4,4,4,
4,4,4,4,4,1,3,3,3,3,3,3,2,3,4,3,1,1,1,1],[1,1,14,8,16,1,3,7,28,4,24,16,32,32,
7,8,6,8,3,3,6,6,12,4,12,16,16,16,4,1,1,1,6,6,6,3,3,6,6,6,6,4,8,8,16,1,3,3,6,6,
6,6,4,4,4,1,3,3,4,1,1,1],[1,1,54,3,4,6,9,27,27,3,4,6,54,36,36,54,54,27,27,81,
3,6,4,3,18,18,18,27,18,27,36,54,27,3,6,4,9,18,9,18,12,12,27,18,27,27,54,54,1,
3,6,18,6,18,9,18,12,9,27,1,1,1,3,9,9,18,18,18,1,3,3,9,1,3,3,1],[1,1,18,1,12,
27,27,9,1,12,9,9,24,9,27,27,4,27,27,12,9,9,4,12,12,9,27,27,1,12,9,1,1,1,1,3,3,
1,3,3,1],[1,1,54,3,4,6,3,9,27,3,4,6,54,36,36,54,54,27,9,27,3,6,4,1,6,6,6,9,6,
27,36,54,27,3,6,4,9,18,9,18,12,12,9,9,9,18,18,1,1,2,6,2,6,9,18,12,3,9,1,1,1,1,
3,3,6,6,1,1,1,3,1,1,1,1],[1,1,12,3,4,6,6,9,6,3,4,6,12,12,12,12,4,9,9,9,3,6,4,
2,6,6,12,9,12,2,6,12,6,9,3,6,4,12,4,4,4,4,6,9,6,9,9,1,1,4,6,4,6,2,2,4,6,6,9,1,
4,1,1,1,6,6,2,1,2,1,1,1,1,1],[1,1,12,90,3,4,6,3,9,6,45,216,3,4,6,12,12,12,12,
36,12,54,4,48,48,12,54,54,54,27,18,27,9,3,6,4,1,6,6,6,9,6,6,27,2,6,48,36,54,
36,36,36,72,36,72,36,6,12,6,18,27,3,6,4,12,9,18,9,18,12,12,4,4,4,4,4,12,12,12,
12,6,6,18,9,6,9,18,9,18,18,18,18,18,36,1,1,2,6,2,6,2,2,4,6,6,12,2,9,18,12,12,
12,3,6,12,12,12,12,12,12,12,12,9,18,1,1,1,4,4,1,3,2,6,3,6,6,12,6,6,6,6,6,6,1,
1,1,2,2,4,4,3,6,1,1,1,2,2,1],[1,1,18,1,12,9,9,9,1,12,9,9,24,9,54,4,9,9,12,9,
27,4,12,12,9,9,9,1,12,9,1,1,1,1,1,1,1,1,1,1],[1,1,36,3,4,6,6,9,18,3,4,6,36,12,
12,12,12,9,27,27,3,6,4,2,6,6,12,9,12,6,6,12,18,27,3,6,4,4,12,12,12,12,18,9,6,
9,9,1,1,4,6,4,6,6,6,12,2,6,9,1,4,1,3,3,6,6,2,1,2,3,1,1,1,1],[1,9,36,1,12,18,9,
54,9,36,12,12,36,9,27,27,4,9,18,18,36,27,4,12,12,9,9,9,1,12,9,1,4,2,1,2,1,1,1,
1],[1,9,36,1,12,18,9,54,9,36,12,12,36,9,27,27,4,9,18,18,36,27,4,12,12,9,9,9,1,
12,9,1,4,2,1,2,1,1,1,1],[1,9,36,1,12,27,54,9,36,12,12,36,9,27,27,4,27,18,36,
27,4,12,12,9,9,9,1,12,9,1,4,3,2,1,1,1,1],[1,9,36,1,12,27,54,9,36,12,12,36,9,
27,27,4,27,18,36,27,4,12,12,9,9,9,1,12,9,1,4,3,2,1,1,1,1],[1,1,36,3,4,6,27,18,
3,4,6,36,12,12,12,12,27,9,27,3,6,4,18,18,27,6,6,12,18,27,3,6,4,4,12,12,12,12,
18,27,9,9,1,3,18,18,6,6,12,2,9,1,4,9,1,3,6,3,2,3,1,1,1,1],[1,1,12,3,4,6,27,6,
3,4,6,12,12,12,12,4,27,27,9,3,6,4,18,18,27,2,6,12,6,27,3,6,4,12,4,4,4,4,6,27,
9,9,1,3,18,18,2,2,4,6,9,1,4,9,3,1,6,3,2,3,1,1,1,1],[1,1,18,72,1,12,9,9,9,36,
216,1,12,9,9,72,24,12,12,36,36,54,9,54,54,4,9,9,12,12,18,36,18,72,36,72,9,36,
27,4,4,4,12,12,12,12,9,9,18,9,36,18,1,12,12,4,12,12,12,12,9,1,1,1,4,4,12,1,1,
1,2,2,4,4,1,1,1,2,2,1],[1,1,20,50,10,1,15,10,25,120,6,10,20,20,20,20,10,10,5,
30,15,15,15,10,15,15,15,6,12,10,10,10,10,10,20,20,20,20,10,10,5,15,15,15,15,
15,15,6,6,6,5,10,10,10,10,10,10,10,15,6,6,6,5,5,5,10,6,5,1,1,1,1,1],[1,1,20,
50,10,1,15,10,25,120,6,10,20,20,20,20,10,10,5,30,15,15,15,10,15,15,15,6,12,10,
10,10,10,10,20,20,20,20,10,10,5,15,15,15,15,15,15,6,6,6,5,10,10,10,10,10,10,
10,15,6,6,6,5,5,5,10,6,5,1,1,1,1,1],[1,1,30,10,11,25,15,6,10,20,25,5,15,45,15,
15,15,6,12,10,20,20,10,10,15,5,15,15,15,15,15,6,6,6,5,10,20,10,10,20,15,6,6,6,
5,5,5,10,6,5,1,1,1,1,1],[1,63,28,63,84,36,9,28,36,28,9,1],[1,1,38,104,7,33,6,
6,36,19,84,52,216,224,288,7,21,20,28,21,8,54,56,56,64,112,72,72,72,33,63,6,18,
12,108,108,12,24,24,12,12,24,52,108,54,54,84,72,24,24,60,48,48,48,48,96,48,96,
48,48,48,1,7,8,14,18,7,7,15,28,28,21,54,56,12,6,20,60,28,28,24,24,84,84,54,54,
108,84,84,3,6,18,3,4,12,18,12,21,27,18,54,42,12,12,45,12,24,24,24,84,84,36,36,
168,168,24,24,72,72,24,24,24,24,48,24,24,24,24,48,48,48,12,12,24,36,36,24,24,
24,24,24,12,12,24,12,18,18,12,12,12,36,24,24,24,24,6,12,24,24,24,36,36,24,24,
24,24,24,6,7,21,28,10,12,12,24,28,84,42,42,84,15,6,27,21,84,84,7,42,9,18,6,6,
56,12,12,12,6,3,3,6,6,3,6,6,3,3,3,4,6,3,6,6,6,6,6,6,12,8,8,24,12,24,24,3,6,12,
12,12,12,24,12,12,18,18,12,24,24,6,18,12,12,6,6,12,12,12,12,12,6,6,12,12,12,6,
6,12,6,6,12,12,6,12,12,6,6,12,12,12,12,12,12,6,12,24,18,18,12,12,12,12,12,12,
12,24,36,36,36,12,24,24,24,24,24,24,12,12,36,24,24,12,24,24,12,24,12,12,12,36,
24,24,12,12,12,36,36,24,24,24,24,24,24,1,7,21,3,28,7,3,6,1,2,3,3,3,6,6,3,3,4,
4,6,3,3,6,6,3,6,3,6,3,6,3,3,3,6,6,6,6,6,6,3,3,3,4,4,12,12,12,12,24,12,12,12,
12,24,6,18,12,12,6,6,6,12,12,6,12,6,6,6,12,12,12,12,12,12,12,12,12,12,12,12,6,
6,6,6,18,6,6,12,12,6,6,12,12,6,6,6,12,12,6,6,12,6,12,12,12,6,6,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,1,3,6,1,1,2,3,3,3,3,6,6,3,3,3,3,3,6,6,3,3,3,3,3,3,
6,6,6,6,6,12,6,6,6,12,6,6,6,6,6,6,6,12,6,6,6,6,6,12,1,3,3,3,3,3,3,6,6,1],[1,1,
54,72,3,29,6,6,84,27,132,36,216,96,288,1,3,28,12,2,6,24,24,33,24,54,72,24,48,
72,72,72,29,63,6,42,36,36,36,36,72,72,4,4,24,36,108,18,18,36,72,36,36,84,72,
72,168,72,144,240,3,9,6,18,1,3,17,2,6,6,21,18,36,18,28,68,24,24,18,18,36,36,
36,24,24,36,36,72,48,48,72,72,9,30,30,9,18,18,18,9,9,18,54,54,18,18,51,42,60,
36,36,36,36,72,72,72,72,72,72,144,72,72,144,144,144,4,4,24,12,12,24,4,4,24,4,
6,6,12,12,12,12,30,36,60,36,60,12,12,24,6,10,12,12,24,12,36,24,24,24,48,72,17,
6,6,9,9,12,18,18,9,18,9,18,18,18,36,36,6,6,6,6,9,18,18,36,30,9,18,36,9,18,9,
18,9,18,30,18,18,18,36,15,18,18,36,4,4,4,12,6,6,12,6,6,12,12,12,12,12,12,6,12,
12,30,30,36,36,36,36,36,18,18,18,36,36,36,6,6,12,12,12,12,12,12,36,36,36,60,
36,36,36,36,36,12,36,12,12,24,24,1,1,2,3,6,6,3,1,3,6,9,18,6,3,9,18,6,9,18,15,
18,18,36,18,36,6,9,18,18,36,9,18,6,9,9,18,18,36,12,12,4,4,4,4,6,6,6,6,12,12,6,
6,6,6,6,6,6,12,12,6,18,18,18,6,18,36,36,36,36,6,12,12,3,6,1,3,2,3,3,6,3,3,3,9,
18,9,18,3,6,6,6,6,6,6,6,12,1,1,1,3,3,3,3,1],[1,1,38,104,7,33,6,6,36,19,84,52,
312,288,288,7,21,12,36,2,6,24,24,21,24,78,104,72,64,144,72,72,72,33,39,6,18,
36,108,108,36,72,72,12,12,24,52,156,54,54,108,72,36,36,36,72,72,72,72,144,144,
3,13,8,18,18,7,9,3,2,6,6,28,28,13,54,56,36,18,12,12,28,28,24,24,84,84,54,54,
108,108,108,24,24,36,36,72,48,48,72,72,9,18,18,9,18,18,18,27,27,18,78,78,18,
18,9,18,36,36,36,84,84,36,36,216,216,72,72,72,72,144,72,72,144,144,144,12,12,
24,12,12,24,24,24,24,24,12,12,24,12,6,6,12,12,12,12,24,24,24,24,18,36,36,36,
36,12,12,24,24,24,24,24,7,21,28,12,12,24,36,108,42,42,84,24,24,24,48,72,3,6,6,
27,27,12,18,84,84,18,13,54,9,18,18,18,56,36,36,6,6,6,3,3,6,9,18,18,36,18,9,18,
36,9,18,9,18,9,18,18,18,18,18,36,9,18,18,36,12,12,24,12,12,6,6,12,24,24,6,6,
12,12,6,6,12,12,12,12,12,6,6,12,6,6,12,12,18,18,36,36,36,36,36,18,18,18,36,36,
36,6,6,12,12,12,12,12,12,12,24,12,12,24,24,24,24,24,24,12,12,24,24,36,36,36,
36,36,36,36,36,36,12,12,24,24,12,12,24,24,24,24,24,7,21,1,2,3,6,6,28,9,6,3,6,
9,18,3,3,6,3,3,6,6,9,18,3,3,6,9,18,9,18,18,36,18,36,3,3,6,6,6,6,6,9,18,18,36,
9,18,3,3,6,6,6,6,6,9,18,18,36,12,12,24,12,12,24,6,6,12,12,6,6,12,12,12,6,6,6,
12,12,12,12,12,12,12,12,6,6,12,12,6,6,12,12,6,6,12,12,18,18,18,18,36,36,36,36,
1,3,6,6,1,3,1,3,2,6,3,3,6,3,3,6,6,3,3,6,6,6,6,6,3,3,6,6,3,3,6,6,3,9,18,9,18,6,
6,6,6,6,12,12,6,1,3,3,3,3,6,6,3,3,1],[1,1,30,72,5,31,6,6,12,15,60,36,72,32,
192,2,10,28,16,2,6,15,18,8,48,48,48,19,51,6,6,12,44,52,12,24,24,8,16,32,16,24,
48,20,16,24,72,12,12,60,24,24,16,16,16,16,12,2,3,17,2,4,8,15,18,8,12,6,20,60,
4,4,24,24,16,8,12,16,32,16,20,12,12,24,3,6,9,6,6,18,3,6,18,12,6,6,45,12,8,4,
24,24,8,16,8,8,48,48,8,8,8,8,8,8,24,32,24,32,16,8,8,16,16,16,8,16,32,8,16,12,
16,12,12,24,8,16,16,8,8,8,8,12,12,12,24,24,24,16,8,16,8,16,16,6,1,1,4,10,8,8,
16,4,2,4,15,6,6,3,4,8,6,6,12,4,2,6,3,1,2,6,3,6,6,3,9,3,6,3,2,2,6,4,6,12,8,8,4,
4,8,8,12,16,12,16,16,8,6,12,4,8,4,2,2,4,4,6,2,4,12,12,2,2,4,4,2,4,4,6,4,6,6,
12,12,12,12,12,4,8,4,8,4,4,8,24,24,24,12,8,16,8,8,8,8,8,8,8,8,4,4,24,8,8,8,12,
12,12,4,4,24,8,8,8,4,4,24,24,24,16,8,16,8,8,8,1,1,1,2,2,2,1,3,2,6,3,1,2,1,3,1,
2,6,2,2,2,6,3,6,6,1,1,6,2,2,1,2,3,6,8,8,4,4,8,8,8,4,4,8,6,12,8,4,2,6,4,2,2,4,
4,4,4,4,6,2,2,12,2,2,4,4,4,4,2,4,6,2,6,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,1,2,2,1,1,2,3,1,2,1,1,2,2,6,1,2,3,2,1,1,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,
2,2,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,14,40,5,23,10,10,68,7,12,20,40,32,2,10,
12,16,2,6,3,10,8,11,15,10,34,20,28,36,20,40,40,8,16,16,8,8,8,32,12,8,24,24,12,
12,12,24,24,2,3,3,2,4,8,3,10,8,20,10,4,4,4,4,8,8,16,8,4,8,16,16,20,12,12,24,5,
18,20,11,4,6,12,18,18,3,2,6,4,6,6,3,12,8,4,8,16,4,4,12,4,8,8,8,4,12,8,8,12,8,
8,4,4,16,4,4,8,16,16,8,8,8,12,8,12,12,12,4,4,8,8,1,1,4,4,2,4,1,2,2,3,4,8,6,2,
6,4,3,1,2,3,6,6,3,9,5,4,10,3,6,6,4,6,12,4,4,4,4,8,4,6,2,4,8,2,8,4,8,4,4,4,12,
16,4,4,8,8,4,8,4,4,4,4,4,4,4,4,4,4,4,2,4,6,6,4,12,8,12,2,2,4,4,4,8,12,12,12,
12,4,4,4,4,8,8,1,1,1,2,1,1,3,2,1,2,3,1,2,2,2,2,3,6,2,6,1,1,2,2,2,1,2,3,3,6,2,
4,2,4,2,8,4,4,2,4,8,4,6,2,6,4,4,2,4,6,2,2,2,6,2,4,4,4,4,4,4,1,1,1,1,1,2,2,2,1,
1,2,2,1,2,3,1,3,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,46,72,5,23,2,2,52,23,
108,36,104,32,256,2,10,20,8,8,8,27,16,26,16,8,64,64,64,19,47,2,26,12,36,44,12,
8,8,16,8,16,8,8,32,56,20,16,16,56,68,16,16,104,8,16,16,112,16,16,16,2,2,16,2,
1,15,2,2,4,8,15,14,8,4,6,20,60,4,4,16,16,16,8,12,16,32,8,12,8,8,8,8,3,14,12,1,
4,2,4,1,6,14,24,14,2,47,26,28,4,8,8,4,24,24,8,16,8,8,56,56,8,8,16,16,8,8,16,
16,16,8,16,24,24,8,16,8,16,8,16,16,16,16,8,8,8,8,12,16,8,4,4,24,4,4,16,8,8,16,
8,8,16,8,24,8,32,24,32,16,8,16,16,8,16,16,16,16,6,1,1,4,10,8,8,16,4,2,4,15,2,
4,6,1,2,4,8,2,6,14,4,4,4,1,3,2,2,1,2,2,4,12,3,6,8,1,2,1,1,2,2,2,14,2,4,6,2,4,
4,8,8,4,4,8,8,4,12,12,4,8,8,2,12,4,4,8,6,2,4,4,4,2,2,4,4,2,2,4,4,2,4,4,2,4,16,
12,8,4,4,4,4,4,4,16,12,8,8,4,4,8,4,4,8,24,24,24,4,8,8,8,8,16,16,8,8,8,8,16,16,
4,4,24,8,8,16,8,4,24,4,4,8,8,4,4,24,8,16,8,8,24,4,4,24,24,8,8,8,8,8,1,1,2,2,2,
1,1,2,2,1,1,2,1,1,1,2,6,2,4,4,3,1,2,2,2,1,2,1,3,2,2,2,2,1,2,6,2,4,8,8,8,8,4,4,
8,8,8,4,4,8,2,12,4,4,2,2,2,2,4,4,4,4,4,4,2,2,2,4,4,2,12,2,2,8,4,4,4,4,2,2,2,4,
2,4,2,4,2,4,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,2,2,2,1,1,1,1,1,2,1,2,2,1,1,2,
1,2,1,1,2,2,2,2,2,4,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,2,2,2,2,
1],[1,1,38,104,3,21,10,10,44,19,84,52,248,96,352,1,3,12,12,2,6,24,24,21,24,62,
72,24,48,88,88,88,21,27,10,22,44,36,36,44,72,72,4,4,8,8,8,16,36,108,26,26,36,
88,52,52,36,88,88,72,72,176,48,176,48,48,48,3,9,6,22,1,3,3,2,6,6,9,18,36,22,
12,12,24,24,18,18,36,36,36,24,24,36,36,72,48,48,72,72,11,18,18,11,4,18,12,22,
18,9,13,22,54,54,18,26,9,18,44,44,44,44,44,72,72,24,24,72,72,24,24,88,88,144,
88,88,24,24,144,144,144,8,8,8,8,8,8,16,16,16,16,16,16,4,2,2,4,4,4,4,4,4,8,8,8,
8,8,18,36,36,36,36,8,8,8,8,8,8,16,16,16,16,16,16,12,12,24,12,36,24,24,24,48,
72,3,6,6,9,9,12,18,18,9,18,11,18,22,22,36,36,12,6,6,6,9,18,18,36,18,9,18,36,9,
18,11,4,18,9,22,6,6,18,22,18,18,8,8,44,12,24,24,9,18,18,36,2,2,4,4,2,2,4,2,2,
4,4,4,4,4,4,4,8,8,8,8,2,2,4,4,4,4,4,4,4,4,4,8,8,8,8,18,18,36,36,36,36,36,18,
18,18,36,36,36,4,4,4,4,4,4,8,4,4,8,8,8,8,8,8,8,8,8,16,16,4,4,4,8,8,8,36,36,36,
36,36,36,36,36,36,4,4,4,8,8,8,8,8,8,1,2,3,6,6,3,1,3,6,9,18,11,3,4,4,18,9,18,9,
18,18,36,18,36,9,18,18,36,9,18,1,1,2,2,9,18,18,36,2,2,2,4,4,4,2,2,4,4,4,4,4,4,
4,4,4,4,8,8,8,8,8,8,8,8,2,4,2,2,4,4,2,2,2,4,4,4,2,4,2,4,18,18,18,2,4,18,36,36,
36,36,2,4,2,4,2,4,2,4,4,4,4,4,4,4,4,4,4,4,4,4,3,6,1,1,2,1,2,1,2,9,18,1,2,1,2,
1,2,1,2,9,18,2,4,2,4,2,2,2,2,2,2,4,4,2,2,4,4,2,4,4,4,4,1,1,2,1,2,1,2,1,2,1,1,
1],[1,1,30,40,1,35,10,10,20,15,60,20,40,32,4,28,24,2,6,15,10,8,15,55,10,10,20,
44,20,20,24,24,8,48,8,8,40,12,32,24,12,12,60,40,40,5,17,2,12,15,10,8,12,10,20,
60,4,4,8,8,24,12,32,20,12,12,24,5,6,11,4,6,12,10,26,5,6,10,6,45,20,12,24,40,8,
48,8,8,8,48,4,24,20,20,4,4,8,8,8,8,12,20,20,40,8,8,6,6,10,4,6,15,2,5,12,6,2,6,
2,8,10,5,6,6,5,11,5,4,6,5,6,6,12,20,4,24,8,10,4,4,4,4,12,4,16,20,4,4,20,4,4,4,
4,12,6,10,4,6,6,12,20,20,4,4,20,8,12,12,20,40,8,8,1,1,1,1,2,2,4,6,5,3,2,2,8,
10,1,1,2,2,6,5,6,6,6,10,2,2,3,2,3,6,10,4,6,10,4,4,6,4,10,4,6,4,10,6,2,2,4,4,1,
2,2,1,3,1,2,2,2,2,2,6,3,2,5,3,2,2,4,2,6,1,1,1,1,1,1,1,1],[1,1,46,40,1,27,6,6,
60,23,108,20,72,32,64,4,20,16,8,8,27,16,18,16,8,16,16,16,15,51,6,30,20,36,12,
20,8,8,8,32,16,8,48,12,24,8,68,32,32,104,8,16,112,2,2,4,3,15,2,2,12,15,6,8,4,
10,20,60,4,4,24,12,24,12,8,8,8,8,5,14,12,3,4,4,12,6,12,3,2,12,18,2,47,26,28,4,
16,12,24,8,8,16,16,16,16,8,32,24,8,8,24,4,16,12,12,8,8,8,8,8,16,8,24,16,40,8,
32,8,8,6,6,10,4,6,15,2,3,2,12,2,2,4,4,2,8,6,3,2,2,4,12,5,6,8,3,2,3,4,3,2,14,2,
6,2,4,4,12,12,6,4,4,4,4,4,16,12,12,12,8,8,8,8,4,4,12,6,6,4,16,12,8,4,4,4,4,4,
12,4,16,4,4,12,8,8,8,4,24,4,4,8,16,8,24,24,1,1,1,1,1,2,2,1,1,3,3,2,6,6,6,2,4,
4,2,4,2,2,3,2,2,8,6,2,2,3,2,6,2,4,8,8,6,6,6,4,4,6,4,4,6,2,4,4,6,6,2,4,2,4,2,2,
4,4,4,2,2,2,1,2,2,3,3,2,3,2,1,2,1,1,2,2,2,2,2,2,6,4,4,1,1,1,1,1,1,1,1],[1,1,
30,40,5,15,6,6,44,15,60,20,72,32,64,2,10,4,8,8,8,15,16,18,16,8,16,16,16,11,11,
6,22,20,20,28,20,24,24,16,8,32,16,16,40,12,8,16,8,20,16,16,40,8,16,48,2,2,4,2,
1,1,2,2,4,8,3,6,8,12,10,4,4,4,4,16,8,4,8,16,8,12,8,8,8,8,5,10,16,3,4,4,12,14,
4,1,2,2,16,14,2,5,10,12,4,8,8,4,8,16,8,8,16,16,16,16,12,4,8,4,4,8,8,4,4,8,8,
12,16,12,12,16,16,8,8,16,8,8,8,12,16,8,8,16,4,12,8,8,8,1,1,4,4,2,4,1,2,2,1,2,
4,8,2,2,4,4,4,1,3,2,4,1,2,2,4,4,3,6,8,1,2,3,4,4,1,2,6,2,4,6,4,4,4,4,4,4,8,4,2,
2,6,8,4,4,8,8,4,8,4,4,8,8,4,4,4,4,4,8,8,8,8,4,4,4,4,4,2,4,12,8,8,4,8,4,4,4,4,
4,12,4,6,2,4,4,4,4,8,8,8,4,8,4,4,8,8,8,4,4,4,4,4,1,1,2,1,1,1,2,2,2,2,1,2,1,1,
2,2,4,4,3,1,2,2,2,2,1,2,2,1,3,2,2,2,2,1,2,1,2,4,2,2,4,2,4,4,4,4,4,2,4,4,4,4,2,
2,8,4,2,6,2,4,2,4,2,2,4,4,4,4,4,4,4,1,1,1,1,1,1,2,2,2,2,1,2,1,1,2,1,2,1,2,2,2,
2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,14,72,1,27,6,6,60,7,12,36,72,32,64,4,12,24,
2,6,3,18,8,16,16,16,7,19,6,30,12,44,20,12,24,24,16,8,16,16,40,8,20,32,40,12,
12,12,24,24,32,32,16,16,16,16,4,5,3,2,12,3,10,8,12,6,4,4,4,4,8,8,24,12,32,20,
12,12,24,3,18,12,9,6,6,18,5,4,10,10,8,6,3,8,12,12,8,8,24,8,8,8,8,8,8,8,8,16,
16,8,24,16,16,16,8,16,8,8,12,8,4,4,16,8,8,8,8,8,12,20,20,12,8,8,8,16,24,8,16,
16,6,4,6,1,2,5,12,6,2,4,2,6,2,4,4,3,10,6,3,9,3,6,3,2,2,6,4,4,6,6,12,4,4,4,4,8,
8,2,8,4,4,20,16,4,4,4,8,2,2,4,4,2,4,4,4,4,8,6,6,12,12,4,12,8,4,16,4,4,8,4,8,8,
8,8,8,8,4,8,12,12,8,12,8,4,8,12,4,4,8,8,8,8,8,8,1,1,1,2,4,2,1,2,1,2,4,2,1,1,2,
2,3,6,6,2,2,4,6,1,2,3,3,6,2,4,2,4,2,2,4,8,6,2,2,6,2,4,4,8,2,4,2,4,2,6,2,2,6,2,
2,2,4,4,4,4,4,4,4,4,4,4,1,2,1,2,2,2,2,1,2,2,2,3,1,1,3,2,2,2,2,2,2,2,2,2,2,4,4,
1,1,1,1,1,1,1,1],[1,1,22,72,3,13,6,6,52,11,36,36,120,32,160,1,3,4,4,9,8,30,24,
8,16,40,40,40,13,15,6,26,12,20,20,12,8,8,12,12,40,20,44,18,18,12,40,24,24,12,
32,32,16,16,64,48,64,48,48,48,1,3,2,10,1,1,1,5,10,4,6,4,4,8,8,10,10,20,12,12,
3,10,14,3,4,12,10,4,3,9,10,22,18,4,12,3,4,16,16,16,20,20,24,24,24,24,24,24,24,
24,24,24,16,24,24,24,24,16,16,16,8,8,8,8,8,8,12,6,6,20,20,20,12,16,16,16,16,
10,4,8,8,8,8,8,8,8,8,8,4,4,8,4,12,1,2,5,3,3,6,5,6,6,6,4,4,12,2,2,2,4,4,1,2,2,
1,1,3,4,2,1,6,6,6,2,6,2,4,8,8,16,12,24,24,5,2,8,8,16,10,6,8,8,2,2,8,4,8,2,2,4,
4,4,2,2,4,4,4,4,4,4,12,12,2,2,4,4,4,4,4,4,2,4,8,4,4,4,4,4,4,8,4,4,8,4,4,4,4,8,
8,4,8,4,4,4,4,8,24,1,1,4,1,1,1,2,2,2,2,2,4,4,3,3,4,4,2,1,2,1,2,1,1,2,2,2,2,2,
2,1,2,1,1,1,2,2,2,2,2,8,6,4,4,4,4,4,4,4,4,2,2,2,2,2,2,2,4,6,2,4,4,4,4,2,2,4,4,
4,4,1,1,1,1,2,2,1,2,1,2,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,
1,30,72,1,19,2,2,36,15,60,36,104,32,128,4,4,16,8,8,15,16,26,16,8,32,32,32,7,
15,2,18,12,36,12,12,8,8,8,16,32,8,8,8,48,8,20,24,24,20,16,16,40,40,48,16,48,
16,16,16,2,2,8,3,1,2,2,12,3,6,8,4,6,4,4,4,4,24,12,24,12,8,8,8,8,3,10,8,1,4,2,
4,3,4,6,12,18,10,5,10,12,12,8,12,8,8,24,8,8,8,8,8,8,16,16,8,8,16,16,8,16,8,8,
8,8,16,24,16,16,16,16,8,8,12,8,16,12,12,16,4,4,8,8,8,8,12,8,16,16,16,16,8,16,
24,16,8,16,16,16,16,6,4,6,1,2,3,2,12,2,2,2,4,4,4,4,2,4,4,1,6,2,4,4,3,6,8,1,2,
1,1,2,2,2,6,4,2,4,4,2,4,4,4,4,4,4,6,8,4,4,4,8,12,4,8,4,2,2,4,4,2,4,4,4,4,8,12,
8,4,8,12,4,4,4,4,4,4,8,8,12,4,16,4,4,8,4,8,8,8,8,8,8,16,16,8,4,8,8,8,4,8,4,8,
4,8,8,8,4,8,8,8,4,4,4,8,8,1,1,1,1,2,1,1,2,2,2,1,2,1,2,2,2,2,4,4,2,4,2,2,2,1,2,
2,4,2,6,4,1,2,1,2,4,2,2,2,4,2,4,4,8,2,2,2,4,4,2,4,4,4,4,4,4,2,2,2,4,6,2,4,2,4,
2,4,2,2,4,4,4,4,4,4,4,2,2,1,2,1,1,2,2,2,1,2,2,1,1,2,1,2,4,2,2,2,2,4,2,2,2,2,2,
2,1,1,1,1,1,1,1,1],[1,1,22,72,7,25,2,2,44,11,36,36,184,224,96,7,21,4,28,9,8,
46,56,56,64,112,24,24,24,25,27,2,22,4,92,92,4,8,8,4,4,24,8,8,16,36,92,46,46,
84,24,8,8,12,16,16,16,16,32,32,1,7,8,14,6,7,7,1,28,28,9,46,56,4,2,4,4,28,28,8,
8,84,84,46,46,92,84,84,1,10,14,1,6,4,21,23,6,46,42,4,4,3,4,8,8,8,84,84,12,12,
168,168,24,24,8,8,16,8,8,16,16,16,4,4,8,4,4,8,8,8,8,8,4,4,8,4,2,2,12,12,12,4,
4,4,8,8,8,8,8,8,8,8,8,10,4,8,8,8,4,4,8,8,8,8,8,7,21,28,4,4,8,28,84,42,42,84,1,
2,23,21,84,84,7,42,3,6,2,2,56,4,4,2,1,1,2,4,1,2,2,1,1,1,2,1,2,2,2,2,4,8,5,2,4,
4,8,4,4,2,2,4,8,8,6,2,4,4,4,4,2,2,4,4,12,4,12,2,2,4,4,4,4,4,2,2,4,4,4,8,8,8,8,
2,2,4,4,4,4,4,4,2,4,8,2,2,4,4,4,4,4,4,4,8,4,4,8,8,8,8,8,8,4,4,8,8,4,8,8,4,8,4,
4,4,8,8,8,4,4,8,8,8,8,8,16,7,21,1,28,7,2,2,2,1,1,2,2,1,2,1,1,2,1,2,1,2,2,1,2,
1,1,1,2,2,2,2,2,2,2,2,4,4,8,4,4,8,2,2,4,4,2,2,4,4,4,2,4,4,2,2,4,4,4,4,4,4,4,4,
2,2,2,4,4,6,2,4,4,4,2,2,4,4,4,2,4,4,4,2,2,2,2,4,4,4,4,1,2,1,1,1,1,2,2,2,1,1,2,
2,1,1,2,1,1,4,2,2,2,2,4,2,4,2,2,2,2,4,1,1,1,1,1,1,1,1],[1,1,38,40,3,21,2,2,28,
19,84,20,88,32,96,1,3,20,4,21,8,22,24,8,16,24,24,24,21,51,2,14,4,20,20,4,8,8,
12,12,24,8,8,16,20,44,10,10,12,24,8,8,60,16,16,48,16,32,64,1,3,2,6,1,1,15,17,
10,4,2,20,60,8,8,10,10,20,12,12,1,6,10,1,6,4,3,5,6,22,18,4,4,45,12,16,8,8,12,
12,24,24,24,24,8,8,16,8,8,16,16,16,4,4,8,12,12,8,4,4,8,12,10,10,12,12,12,20,4,
4,16,16,16,16,8,8,8,8,8,6,4,16,8,16,12,12,8,6,10,4,4,8,4,12,15,2,5,3,3,6,3,6,
2,2,4,4,2,2,2,4,2,1,2,6,1,1,1,2,1,2,6,2,2,4,8,3,2,4,4,8,8,16,4,4,6,6,4,6,10,4,
4,8,8,4,4,4,4,4,4,4,4,4,4,4,4,2,12,12,8,8,8,8,6,6,4,4,4,4,4,4,2,4,8,6,6,4,12,
12,12,4,12,4,8,16,4,8,4,12,12,12,12,8,8,1,1,1,1,4,1,1,2,1,2,2,4,4,1,2,2,1,2,3,
2,1,1,2,2,2,2,2,1,2,1,2,2,2,3,4,4,4,4,4,4,2,6,2,8,6,4,4,4,4,2,2,6,2,2,2,4,4,2,
4,2,2,4,4,4,2,2,2,4,4,1,1,1,1,1,2,2,1,1,1,1,2,1,2,1,2,2,2,2,2,2,2,2,2,2,2,2,1,
1,1,1,1,1,1,1],[1,1,18,8,32,42,36,9,24,8,32,2,36,6,27,18,36,18,16,48,96,24,24,
9,6,9,9,36,36,18,36,16,2,16,8,24,24,24,1,9,18,18,9,16,6,12,48,24,24,9,8,2,2,6,
6,8,6,6,1,1],[1,1,30,8,32,1,15,15,60,8,32,48,20,15,15,45,60,16,8,24,32,24,24,
15,15,20,60,45,16,2,16,8,24,24,24,6,10,15,16,2,6,16,6,8,24,1,8,2,2,6,6,8,2,2,
1,1],[1,1,18,72,8,32,6,18,18,9,24,36,72,8,32,96,96,96,2,6,18,9,18,36,36,18,72,
72,16,24,48,96,24,6,9,9,9,36,36,18,36,16,16,16,2,16,8,24,24,24,24,24,1,9,18,9,
18,16,6,12,48,24,24,9,8,2,2,6,6,8,6,6,1,1],[1,1,42,8,32,6,36,21,96,8,32,96,32,
2,24,24,9,18,18,72,16,24,16,48,24,3,6,9,18,9,18,16,32,2,16,8,24,24,24,1,9,9,
16,6,12,12,3,8,2,2,1,3,1,1],[1,1,18,24,8,32,6,36,9,24,12,72,8,32,96,32,2,6,18,
24,9,18,18,72,16,24,16,48,24,3,6,9,18,9,18,16,32,2,16,8,24,24,24,1,9,9,16,6,
12,12,3,8,2,2,1,3,1,1],[1,1,2,16,8,16,18,6,6,1,16,8,16,8,32,8,32,12,12,2,6,9,
6,16,24,24,16,8,16,3,3,2,9,18,16,32,12,2,12,8,8,8,24,24,6,9,16,2,12,12,8,8,8,
1,8,6,8,1,1,2,1],[1,1,2,4,20,16,3,3,3,3,18,1,4,20,16,20,8,20,32,1,3,1,3,12,12,
3,3,9,16,12,12,12,12,4,20,16,1,1,3,3,9,9,9,16,32,5,4,4,12,1,4,12,4,12,4,12,12,
12,3,3,9,16,4,5,4,1,12,4,12,4,4,1,4,4,3,3,4,4,1,1,1,1,1],[1,1,18,36,8,32,12,9,
24,18,72,8,32,24,3,2,6,18,9,18,3,9,18,9,18,18,16,4,48,12,24,6,6,9,9,9,18,9,9,
3,9,9,18,9,16,2,16,12,8,12,12,24,12,1,3,3,9,9,9,9,16,6,6,1,3,4,12,3,8,2,3,2,3,
3,3,4,4,1,3,1,1],[1,1,18,36,8,32,6,6,9,24,18,72,8,32,24,3,2,6,18,9,18,9,3,18,
9,18,18,16,4,24,24,12,24,6,6,9,9,9,18,9,9,3,9,9,9,18,16,2,16,8,12,12,12,24,12,
1,3,3,9,9,9,9,16,6,6,1,3,4,12,3,8,2,3,2,3,3,3,4,4,1,3,1,1],[1,1,14,96,1,8,4,6,
18,7,48,216,1,8,4,8,14,8,8,24,14,18,8,48,48,24,12,12,1,12,3,9,54,9,27,45,3,3,
18,21,27,27,9,54,9,4,1,3,4,3,9,12,7,9,4,12,48,24,12,24,24,24,48,24,72,24,7,8,
4,12,1,3,9,3,3,9,9,9,27,9,27,27,27,3,3,9,9,18,18,9,9,3,3,9,3,9,9,9,9,9,9,9,9,
4,8,4,4,8,8,8,2,1,7,9,4,12,1,3,3,3,3,3,3,9,9,9,3,12,9,9,12,3,3,9,9,6,12,18,12,
12,24,3,9,9,3,9,9,9,9,9,9,9,9,9,9,9,4,4,4,4,4,4,8,8,4,8,8,3,1,2,1,3,1,3,3,12,
3,3,1,3,1,3,1,3,3,9,9,12,3,3,3,3,3,3,3,9,3,3,3,3,3,3,3,3,3,3,3,3,3,3,9,3,9,1,
4,4,4,4,4,4,4,1,3,3,3,3,1,3,3,3,6,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,1,1,1,1,4,3,
3,1,1,1,1,1,1,1,1],[1,1,6,72,5,8,10,30,3,36,72,5,8,6,6,42,24,24,3,30,1,27,18,
9,27,81,3,3,18,9,27,27,27,18,3,4,5,23,24,23,21,8,3,21,24,24,3,3,9,27,1,9,3,3,
27,27,27,9,9,9,3,3,9,9,18,18,9,9,3,3,9,3,9,9,9,9,9,9,9,9,4,4,4,1,2,3,9,3,1,21,
23,21,3,3,3,9,3,9,9,3,3,3,21,9,42,24,6,9,3,9,3,9,9,9,9,9,9,9,9,9,9,9,4,8,8,4,
4,1,3,3,2,1,1,3,6,3,6,1,1,3,9,3,1,3,21,3,3,3,3,3,3,3,3,3,3,9,9,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,9,4,4,1,4,8,8,3,1,3,3,3,3,3,6,3,1,3,3,3,3,3,3,3,3,3,3,3,3,3,1,
1,1,1,1,1,1,4,3,3,1,1,1,1,1,1,1,1],[1,1,10,30,10,10,5,16,10,20,25,10,60,40,10,
16,5,5,10,5,20,20,20,20,10,20,16,1,10,5,5,10,10,10,16,5,5,5,5,1,1,1],[1,1,10,
30,10,10,5,16,10,20,25,10,40,20,40,10,16,5,5,10,5,20,20,20,20,10,20,16,1,10,5,
5,10,10,10,16,5,5,5,5,1,1,1],[1,1,30,40,1,35,10,10,20,15,60,20,40,16,20,20,15,
10,15,55,10,10,20,20,20,20,40,40,20,60,40,40,16,32,5,15,15,10,10,20,60,20,20,
5,5,10,20,5,10,45,20,40,40,40,20,20,20,20,20,40,16,16,16,6,10,15,5,10,5,5,5,5,
5,20,20,10,20,20,10,20,20,20,20,40,16,1,5,10,5,10,10,10,10,10,5,1,1,1,1,1],[1,
9,12,13,24,27,9,36,36,36,12,9,12,24,16,24,27,36,12,12,12,12,9,9,9,9,1,4,8,1,
12,9,4,3,4,1,1],[1,1,3,4,42,27,3,4,42,27,3,6,16,24,18,18,27,3,6,16,24,27,27,4,
1,8,3,18,18,1,4,8,9,4,3,4,1,1],[1,1,18,108,3,4,15,9,54,324,3,4,15,18,18,18,18,
108,18,54,24,54,54,18,81,81,81,3,6,7,6,9,27,12,9,54,54,81,54,54,108,108,108,
108,54,9,18,9,54,3,6,7,18,9,18,9,18,15,15,6,6,6,15,15,27,18,18,27,6,6,6,27,27,
54,54,1,1,2,3,3,15,9,9,27,3,9,18,15,18,18,9,6,27,27,18,18,18,18,27,27,1,1,1,1,
1,1,2,6,6,6,6,6,6,9,9,27,9,1,1,1,3,3,3,6,3,6,6,6,6,1,1,1,1,1,1,1,3,3,1,1,1,1,
1,1,1,1],[1,1,42,56,28,42,21,56,28,168,28,56,56,28,28,8,14,42,21,21,21,84,42,
42,28,28,56,56,28,14,8,8,8,21,21,21,42,42,8,14,28,28,8,21,8,8,8,14,8,1,1,1,1,
1],[1,1,20,20,45,36,20,20,15,15,45,10,36,60,60,45,10,36,15,15,10,15,15,10,6,6,
1],[1,1,20,20,45,36,20,20,15,15,45,10,36,60,60,45,10,36,15,15,10,15,15,10,6,6,
1],[1,1,11,20,10,15,6,11,20,15,5,15,10,6,10,10,20,15,20,6,15,10,6,5,10,5,15,
10,15,6,10,10,10,6,5,15,6,5,10,1,6,5,1,1,1],[1,1,90,1,20,10,3,15,45,6,1,20,10,
30,60,60,30,30,5,45,45,10,6,36,1,10,15,30,15,60,30,6,15,10,10,10,6,18,18,10,5,
5,15,15,30,6,12,10,10,10,18,15,5,6,6,6,5,10,1,6,5,3,1,1],[1,1,90,11,20,3,15,
45,6,11,20,90,60,60,5,45,45,10,6,36,1,10,30,15,45,60,6,15,10,10,10,6,18,18,5,
10,5,15,15,30,6,12,10,10,10,18,15,5,6,6,6,5,10,1,6,5,3,1,1],[1,1,20,1,20,10,
15,10,6,1,20,10,20,20,20,20,20,5,15,15,10,6,10,15,10,10,20,10,6,15,10,20,20,6,
10,5,10,5,15,15,6,10,10,10,6,5,15,6,5,10,1,6,5,1,1,1],[1,1,60,1,20,10,15,30,6,
1,20,10,60,20,60,60,60,5,45,45,10,6,10,15,10,30,60,30,6,45,10,20,20,6,10,5,30,
5,15,15,6,10,10,10,18,15,30,15,6,5,10,1,6,5,3,1,1],[1,1,11,20,45,6,11,20,5,45,
45,10,6,50,60,45,6,45,10,6,5,10,5,45,15,6,10,20,18,15,30,15,6,10,5,1,6,5,3,1,
1],[1,1,38,72,64,3,21,6,6,36,19,84,36,216,96,288,64,128,1,3,12,12,2,6,24,24,
21,24,54,72,24,48,72,72,72,21,27,6,18,36,36,36,36,72,72,36,108,18,18,36,72,36,
36,36,72,72,72,72,144,144,64,48,96,3,9,6,18,1,3,3,2,6,6,9,18,36,18,12,12,24,
24,18,18,36,36,36,24,24,36,36,72,48,48,72,72,9,18,18,9,18,18,18,9,9,18,54,54,
18,18,9,18,36,36,36,36,36,72,72,72,72,72,72,144,72,72,144,144,144,18,36,36,36,
36,16,48,32,96,48,96,96,192,12,12,24,12,36,24,24,24,48,72,3,6,6,9,9,12,18,18,
9,18,9,18,18,18,36,36,6,6,6,9,18,18,36,18,9,18,36,9,18,9,18,9,18,18,18,18,18,
36,9,18,18,36,18,18,36,36,36,36,36,18,18,18,36,36,36,36,36,36,36,36,36,36,36,
36,16,48,32,96,48,96,1,2,3,6,6,3,3,6,9,18,9,18,9,18,9,18,18,36,18,36,9,18,18,
36,9,18,9,18,18,36,18,18,18,18,36,36,36,36,12,24,3,6,9,18,9,18,4,8,12,24,12,
24,1,1],[1,1,38,72,16,3,21,6,6,36,19,84,36,216,96,288,16,32,1,3,12,12,2,6,24,
24,21,24,54,72,24,48,72,72,72,21,27,6,18,36,36,36,36,72,72,36,108,18,18,36,72,
36,36,36,72,72,72,72,144,144,48,48,16,3,9,6,18,1,3,3,2,6,6,9,18,36,18,12,12,
24,24,18,18,36,36,36,24,24,36,36,72,48,48,72,72,9,18,18,9,18,18,18,9,9,18,54,
54,18,18,9,18,36,36,36,36,36,72,72,72,72,72,72,144,72,72,144,144,144,18,36,36,
36,36,12,8,16,48,48,12,12,24,12,36,24,24,24,48,72,3,6,6,9,9,12,18,18,9,18,9,
18,18,18,36,36,6,6,6,9,18,18,36,18,9,18,36,9,18,9,18,9,18,18,18,18,18,36,9,18,
18,36,18,18,36,36,36,36,36,18,18,18,36,36,36,36,36,36,36,36,36,36,36,36,12,12,
24,24,12,8,16,1,2,3,6,6,3,3,6,9,18,9,18,9,18,9,18,18,36,18,36,9,18,18,36,9,18,
9,18,18,36,18,18,18,18,36,36,36,36,12,12,24,12,24,24,3,6,9,18,9,18,1,8,12,1,3,
1],[1,1,38,72,16,3,21,6,6,36,19,84,36,216,96,288,16,16,16,1,3,12,12,2,6,24,24,
21,24,54,72,24,48,72,72,72,21,27,6,18,36,36,36,36,72,72,36,108,18,18,36,72,36,
36,36,72,72,72,72,144,144,48,48,16,3,9,6,18,1,3,3,2,6,6,9,18,36,18,12,12,24,
24,18,18,36,36,36,24,24,36,36,72,48,48,72,72,9,18,18,9,18,18,18,9,9,18,54,54,
18,18,9,18,36,36,36,36,36,72,72,72,72,72,72,144,72,72,144,144,144,18,36,36,36,
36,4,4,12,16,48,48,12,12,24,12,36,24,24,24,48,72,3,6,6,9,9,12,18,18,9,18,9,18,
18,18,36,36,6,6,6,9,18,18,36,18,9,18,36,9,18,9,18,9,18,18,18,18,18,36,9,18,18,
36,18,18,36,36,36,36,36,18,18,18,36,36,36,36,36,36,36,36,36,36,36,36,12,12,24,
24,4,4,12,16,1,2,3,6,6,3,3,6,9,18,9,18,9,18,9,18,18,36,18,36,9,18,18,36,9,18,
9,18,18,36,18,18,18,18,36,36,36,36,12,12,24,12,24,12,12,3,6,9,18,9,18,1,4,4,
12,1,3,1],[1,1,30,24,64,1,27,6,6,12,15,60,12,24,32,64,4,20,16,15,6,8,15,51,6,
6,12,36,12,12,24,24,12,24,60,24,24,64,48,32,3,15,12,15,6,8,6,20,60,4,4,24,12,
24,12,3,3,4,12,6,12,3,6,45,12,12,24,24,24,24,12,12,12,12,12,24,16,16,32,48,32,
6,6,10,4,6,15,3,12,6,6,3,3,3,3,4,3,12,12,6,12,12,12,12,12,6,6,12,12,12,12,24,
32,16,16,4,48,32,1,1,1,2,3,3,6,6,3,6,6,3,6,6,6,6,6,6,6,4,4,4,3,3,3,6,4,4,4,8,
1,1],[1,1,14,120,16,1,19,6,6,12,7,12,60,120,192,16,32,64,64,12,12,2,6,3,30,48,
48,48,7,15,6,6,12,12,12,12,24,24,12,12,48,24,24,24,12,72,12,12,12,24,24,48,48,
48,48,16,16,32,32,128,16,12,3,3,2,3,6,12,6,4,4,8,8,12,12,12,12,24,3,6,9,6,6,
18,3,12,18,6,6,3,12,24,24,24,24,24,24,24,24,24,24,24,24,48,48,12,6,6,12,24,24,
24,12,12,12,24,24,24,24,48,48,12,8,16,32,16,16,32,1,2,3,6,6,12,2,6,3,6,6,3,9,
3,6,3,6,6,6,12,6,12,6,12,6,6,12,12,6,6,12,12,12,12,24,12,12,24,24,24,24,24,12,
12,24,12,12,12,12,12,24,24,24,4,4,8,8,12,8,8,8,32,16,1,3,3,6,6,3,6,3,6,6,6,6,
6,12,12,6,6,6,6,6,12,12,12,12,12,12,8,4,4,4,8,8,16,8,1,6,3,3,6,6,6,12,1,4,8,3,
1,2,1],[1,1,14,120,16,3,9,4,4,24,7,12,60,120,192,16,16,16,64,64,1,3,1,3,12,12,
3,30,48,48,48,9,9,4,12,12,12,12,12,24,24,24,12,12,24,12,12,30,30,48,6,6,12,12,
12,12,24,48,24,48,48,48,16,16,64,32,32,64,16,12,1,1,3,3,3,6,12,6,6,6,12,4,4,6,
6,12,8,8,12,12,3,6,12,3,9,12,3,15,12,6,3,3,3,6,6,6,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,12,12,12,6,6,12,12,12,12,12,6,12,6,6,6,24,24,24,24,24,24,
24,24,4,4,12,16,16,32,16,32,1,3,2,3,3,6,12,3,1,4,3,6,3,6,9,3,6,6,6,3,6,12,3,6,
3,6,6,6,6,6,6,6,6,12,3,3,6,6,12,6,12,12,12,12,12,12,12,12,12,12,12,12,24,24,
12,12,12,12,6,6,6,6,6,6,12,12,12,12,24,12,12,4,4,8,8,4,4,12,8,8,16,16,16,1,3,
3,6,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,3,3,6,6,6,6,6,6,6,12,6,12,6,6,6,4,4,8,4,8,
8,8,8,4,4,1,3,3,3,3,6,3,3,6,6,6,1,4,4,4,3,1,2,1],[1,1,14,72,16,1,43,6,6,12,7,
12,36,72,96,16,32,64,12,12,48,2,6,3,18,24,7,27,6,6,12,108,36,12,24,24,24,48,
72,36,72,24,12,12,12,24,24,32,16,16,32,16,9,3,2,36,3,18,24,12,6,4,4,12,12,8,8,
72,36,72,36,12,12,24,3,6,9,6,6,18,9,6,18,6,3,12,36,72,24,24,48,24,24,24,48,12,
24,12,12,24,24,12,12,12,24,24,24,12,8,32,16,16,16,32,18,12,18,1,2,9,36,6,2,6,
6,12,3,6,6,3,9,3,6,3,6,6,12,12,12,24,24,6,12,12,12,12,12,24,6,12,6,6,12,12,12,
12,12,12,24,12,12,12,24,24,24,4,4,8,8,8,16,12,8,8,16,16,3,1,6,12,3,6,6,12,3,3,
6,6,3,6,6,6,6,6,3,6,6,12,6,12,6,12,6,12,6,4,8,8,16,8,8,8,4,8,4,8,8,1,6,3,6,6,
6,6,3,6,1,4,8,3,2,1,1],[1,1,14,72,16,13,31,6,6,12,7,12,36,72,96,16,32,32,32,6,
30,12,24,2,6,3,18,24,19,15,6,6,12,60,84,12,24,24,12,36,24,24,48,36,24,48,24,
12,12,12,24,24,16,16,16,16,16,16,16,6,3,3,2,12,24,3,18,24,12,6,4,4,12,12,8,8,
48,24,12,24,48,24,36,12,12,24,3,6,9,6,6,18,3,6,6,12,6,6,3,12,24,12,24,48,12,
12,36,12,24,24,24,12,36,24,12,18,6,12,12,24,24,12,12,12,12,12,24,24,12,8,16,
16,16,16,16,16,16,3,3,12,12,6,12,1,2,6,3,12,24,6,2,6,9,3,6,3,6,6,3,9,3,6,3,6,
6,12,12,18,6,12,24,6,12,6,6,12,12,18,6,12,6,12,6,6,12,12,6,6,12,12,12,24,12,
12,12,12,12,24,24,4,4,8,8,4,12,8,12,8,4,12,8,16,3,1,3,9,6,3,6,9,3,6,6,6,6,3,6,
6,3,3,6,6,3,6,6,12,6,12,6,12,6,12,6,4,8,12,4,8,4,4,8,8,4,8,4,8,8,1,3,3,3,6,3,
3,6,6,3,6,1,4,8,3,1,1,1,1],[1,1,14,24,16,1,19,18,18,36,7,12,12,24,16,32,12,12,
2,6,3,6,7,15,18,18,36,12,12,36,24,24,24,24,24,24,12,24,12,12,12,24,24,16,16,
16,3,3,2,3,6,12,18,4,4,8,8,12,12,12,12,24,9,6,15,12,6,36,18,18,3,6,6,6,3,12,
12,12,12,12,12,24,24,12,12,12,12,8,16,16,16,1,2,3,6,2,6,3,6,6,3,9,9,12,6,3,6,
6,12,6,12,12,12,12,12,12,12,12,12,12,12,12,6,6,12,12,12,12,12,4,4,8,8,12,8,16,
1,3,3,6,6,3,6,3,6,6,6,12,12,6,6,6,12,12,4,4,4,8,8,1,3,6,3,6,1,4,8,3,1,1],[1,1,
14,24,16,3,9,16,16,48,7,12,12,24,16,16,16,1,3,1,3,12,12,3,6,9,9,16,24,36,12,
12,36,24,24,12,12,12,12,24,12,12,6,6,6,6,12,12,12,12,24,24,16,16,16,1,1,3,3,3,
6,12,18,6,6,12,4,4,6,6,12,8,8,12,12,9,6,12,9,12,9,36,24,3,3,6,3,3,3,6,6,6,12,
6,6,12,6,6,12,12,12,12,12,6,12,6,6,6,4,4,12,16,16,16,1,3,2,3,3,3,1,4,3,6,3,6,
9,9,12,6,3,6,3,6,3,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,6,6,6,6,6,6,3,3,6,6,12,
6,6,6,6,6,6,6,4,4,8,8,4,4,12,16,1,3,3,6,3,3,3,3,3,3,6,6,6,6,6,6,6,3,3,6,6,6,6,
6,6,4,4,4,8,4,4,1,3,3,3,3,3,3,1,4,4,4,3,1,1],[1,1,30,24,16,1,27,6,6,12,15,60,
12,24,16,96,28,12,2,6,15,6,15,51,6,6,12,12,12,12,24,24,24,24,12,24,12,12,60,
24,24,16,48,48,3,17,2,15,6,12,6,20,60,8,8,12,12,12,12,24,3,6,9,6,6,18,3,6,6,6,
45,12,24,24,24,12,12,12,12,12,12,24,12,8,16,48,48,6,10,15,2,3,6,2,6,6,3,6,6,3,
9,3,6,3,6,6,12,12,12,6,12,12,6,6,6,12,12,12,12,12,12,12,24,4,12,8,8,20,8,16,1,
1,6,3,6,6,3,6,6,6,3,6,6,6,6,6,6,4,12,12,8,8,1,2,3,6,3,1,4,1,1,2,1],[1,1,14,24,
16,1,19,6,6,60,7,12,12,24,16,32,12,12,2,6,3,6,7,15,6,30,12,12,12,12,24,24,4,4,
24,12,24,12,12,12,24,24,16,16,16,3,3,2,3,6,12,6,4,4,8,8,12,12,12,12,24,3,18,
12,9,6,6,18,3,6,6,6,3,12,4,6,6,12,12,12,12,12,12,8,16,16,16,1,2,3,6,2,6,3,6,6,
3,9,3,6,3,6,6,6,12,4,4,6,12,12,6,6,12,12,12,12,12,12,4,4,8,8,12,8,16,1,1,3,6,
6,3,3,6,6,6,6,6,6,4,4,4,8,8,1,3,3,1,4,1,1,1],[1,1,10,72,16,34,6,6,5,36,144,16,
64,32,64,6,18,24,2,6,36,21,6,60,18,6,36,24,36,18,12,36,10,24,24,16,16,16,32,
128,32,3,7,2,12,10,12,12,18,12,9,18,18,36,12,6,12,18,36,24,12,12,12,24,24,18,
36,18,12,6,18,12,12,12,18,12,12,8,32,16,16,16,32,1,3,6,6,3,6,3,9,3,6,6,6,18,
12,12,6,12,6,3,6,6,6,18,12,6,18,12,12,6,18,12,12,4,4,8,16,8,8,4,8,16,16,1,3,6,
3,3,6,3,6,6,6,3,3,6,6,6,6,6,8,8,4,4,4,8,8,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,
10,72,16,12,22,6,6,5,36,144,16,64,64,32,18,18,12,2,6,36,21,6,60,6,42,12,24,36,
30,36,10,24,24,16,16,32,16,128,32,3,7,2,12,10,12,12,30,9,18,18,36,12,6,12,60,
18,12,12,12,24,24,42,12,30,6,18,12,12,12,18,12,12,8,32,16,16,16,32,1,3,6,6,9,
3,9,3,6,6,6,30,12,18,6,3,6,6,6,18,12,6,18,12,12,6,18,12,12,4,12,16,8,4,16,16,
16,1,9,3,9,3,6,6,6,3,3,6,6,6,6,6,16,4,4,4,8,8,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,
1,26,56,16,4,30,6,6,13,28,144,16,32,32,32,32,16,16,6,30,12,2,6,36,45,6,36,6,
18,36,24,28,18,36,30,24,24,16,16,16,16,16,32,32,32,32,16,16,3,15,2,4,30,4,12,
18,9,18,18,36,12,6,36,36,18,12,12,12,24,24,18,36,18,18,18,12,12,12,18,12,12,8,
16,16,16,16,16,16,16,3,1,6,6,3,9,9,3,6,6,18,18,12,6,18,3,6,6,6,18,12,6,18,12,
12,6,18,12,12,4,12,12,8,4,12,4,4,8,8,16,1,3,9,3,9,6,6,6,3,3,6,6,6,6,6,12,4,4,
4,4,4,4,8,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,50,56,16,4,18,60,25,104,28,144,16,
32,32,32,32,16,16,6,6,4,8,26,16,36,27,30,36,18,6,12,12,12,28,18,36,54,120,24,
24,16,16,16,16,16,32,32,32,32,16,16,8,2,1,2,4,18,4,12,18,3,27,30,18,12,36,18,
12,18,12,12,12,24,24,6,12,18,6,18,12,12,12,18,36,18,36,12,24,24,4,8,16,16,16,
8,16,16,16,16,16,16,1,3,6,3,3,6,3,6,6,6,12,6,6,3,6,6,3,18,18,6,18,12,6,12,12,
18,12,18,6,18,12,4,4,4,4,8,4,4,4,8,8,8,16,8,8,1,3,3,6,6,6,6,3,6,3,3,3,6,6,6,6,
6,4,4,4,4,4,4,4,8,8,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,38,104,16,7,33,6,6,36,
19,52,52,216,224,288,16,32,32,32,32,16,16,7,21,12,28,13,8,54,56,56,64,112,72,
72,72,33,39,6,18,12,108,108,12,24,24,12,12,24,52,108,54,54,84,72,24,24,36,48,
48,48,48,96,96,16,16,16,16,16,32,32,32,32,16,16,4,8,1,7,8,14,18,7,7,3,28,28,
13,54,56,12,6,12,12,28,28,24,24,84,84,54,54,108,84,84,3,6,18,3,18,12,21,27,18,
54,42,12,12,9,12,24,24,24,84,84,36,36,168,168,72,72,24,24,48,24,24,48,48,48,
12,12,24,12,12,24,24,24,24,24,12,12,24,12,6,6,12,12,12,12,24,24,24,24,6,12,24,
24,24,12,12,24,24,24,24,24,4,4,16,16,16,4,8,8,8,16,16,16,4,4,8,8,16,16,16,7,
21,28,12,12,24,28,84,42,42,84,3,6,27,21,84,84,7,42,9,18,6,6,56,12,12,6,3,3,6,
3,6,6,3,3,3,6,3,6,6,6,6,12,24,3,6,12,12,24,12,12,6,6,12,24,24,6,6,12,12,6,6,
12,12,12,12,12,6,6,12,6,6,12,12,6,6,12,12,12,12,12,12,6,12,24,6,6,12,12,12,12,
12,12,12,24,12,12,24,24,24,24,24,24,12,12,24,24,12,24,24,12,24,12,12,12,24,24,
12,12,24,24,24,24,24,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,16,4,4,8,4,4,8,8,8,4,
8,7,21,3,28,7,6,3,3,6,6,3,6,3,3,6,3,6,3,6,3,6,3,3,3,6,6,6,6,6,12,12,24,12,12,
24,6,6,12,12,6,6,12,12,12,6,6,6,12,12,12,12,12,12,12,12,6,6,12,12,6,6,12,12,6,
6,12,12,12,12,12,12,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,1,6,3,3,6,6,
3,3,6,6,3,3,6,6,12,12,6,1,1,1,1,1,1,1,4,4,4,3,1,1,1,1,1,1,1,1],[1,1,38,104,16,
1,15,12,12,48,19,52,52,216,96,288,16,32,32,32,32,16,16,3,9,12,12,13,8,54,56,
24,48,72,72,72,3,9,12,24,36,12,12,36,72,72,12,12,24,16,48,12,12,24,48,42,42,
24,84,84,60,60,120,48,120,48,48,48,16,16,16,16,16,32,32,32,32,16,16,4,1,7,6,
18,3,3,3,1,6,36,18,12,12,30,30,36,24,24,60,36,3,6,6,9,4,15,12,12,9,6,6,12,12,
12,15,21,6,15,30,30,42,12,12,24,24,24,24,24,24,24,24,48,48,96,48,48,24,24,96,
96,96,24,24,24,24,24,24,6,6,12,12,12,12,12,12,24,18,18,18,24,24,24,24,24,24,
16,16,16,4,8,8,16,4,4,8,8,16,16,16,12,12,12,24,36,3,6,9,15,1,6,3,6,12,12,24,
24,12,3,3,3,6,3,6,3,3,4,6,6,6,6,6,6,12,6,9,8,8,18,12,24,24,3,6,6,6,6,6,6,6,12,
12,12,12,6,6,6,6,12,12,12,12,6,6,12,12,12,12,12,9,3,6,18,12,6,12,12,12,12,12,
12,12,12,24,24,12,12,12,12,6,18,6,12,6,18,18,12,12,12,12,12,12,1,4,4,16,4,4,8,
4,4,8,8,8,4,3,3,1,3,3,4,4,6,3,6,3,6,3,6,3,3,3,6,6,6,6,6,12,12,12,12,12,12,12,
12,6,6,6,6,6,6,6,6,6,6,6,12,6,6,6,6,6,6,6,6,1,1,2,1,2,2,2,4,4,4,4,4,4,4,1,3,3,
3,3,3,3,6,6,6,6,1,1,1,1,1,1,1,2,2,2,2,4,3,1,1,1,1,1,1,1,1],[1,1,62,56,16,1,27,
6,6,108,31,156,28,120,192,16,32,32,32,32,16,16,20,12,24,24,39,32,30,32,48,48,
48,15,51,6,54,36,12,12,36,24,24,24,16,72,12,24,84,48,48,216,24,48,240,16,16,
16,16,16,32,32,32,32,16,16,12,4,4,12,3,15,6,6,15,6,12,18,20,60,12,12,24,24,24,
24,9,30,24,3,12,6,12,3,6,24,30,6,51,54,60,12,24,24,24,48,48,48,48,24,24,24,12,
12,12,36,24,48,24,72,24,8,16,16,16,12,8,8,16,4,4,24,24,16,16,16,6,10,15,6,3,6,
4,6,12,12,6,3,6,6,12,24,9,18,24,3,6,3,3,6,30,6,12,6,12,12,12,12,6,12,12,6,36,
24,24,12,12,12,12,12,12,12,12,12,48,12,12,24,24,48,24,8,8,8,4,4,16,4,4,8,12,
12,8,8,8,12,1,3,3,6,3,6,12,6,12,12,3,6,6,12,6,12,16,16,6,6,6,6,6,6,12,6,12,12,
1,8,4,12,4,4,4,4,4,4,3,3,3,6,6,6,12,1,1,1,1,1,1,1,4,3,1,1,1,1,1,1,1,1],[1,1,
30,120,4,9,35,6,6,12,15,60,60,120,96,384,4,24,24,40,4,24,20,24,15,30,24,96,96,
96,23,51,6,6,12,84,108,12,16,16,24,48,72,48,36,48,96,60,24,24,48,48,48,48,4,
12,12,20,12,20,96,12,24,4,3,15,12,24,15,30,24,6,20,60,12,12,32,32,48,24,24,36,
72,24,36,3,3,6,12,3,12,24,24,6,45,12,24,12,48,48,24,48,24,24,96,96,24,24,24,
24,16,16,24,48,48,24,24,24,24,24,16,16,24,16,24,24,12,12,12,48,24,24,24,24,12,
12,48,48,24,24,24,24,24,1,12,20,4,4,12,12,12,4,4,12,20,12,12,20,12,4,4,20,20,
24,24,6,3,3,12,10,16,16,32,12,6,12,15,8,12,3,12,24,12,24,12,3,3,6,3,3,3,3,3,6,
6,12,16,16,12,12,24,16,12,24,24,12,24,24,6,24,12,12,6,6,6,6,12,12,6,6,6,12,12,
6,12,24,24,12,12,12,12,12,12,12,24,48,48,48,12,24,24,24,24,24,24,12,12,48,24,
24,12,12,12,48,24,24,12,12,48,48,24,24,24,24,24,1,3,2,2,1,1,2,3,3,3,2,4,4,4,
12,4,4,4,12,4,12,12,4,4,4,4,4,4,4,20,12,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,1,3,4,
4,6,3,3,3,3,3,6,3,3,3,6,3,16,16,12,12,24,16,16,12,12,24,6,24,12,12,6,6,6,6,12,
12,12,12,6,6,6,24,6,6,12,12,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,12,1,1,
1,2,1,1,2,2,3,3,2,1,1,1,1,3,3,2,2,2,2,2,3,3,1,3,3,2,2,3,2,4,4,6,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,6,3,3,3,6,6,12,6,6,6,6,6,6,12,1,1,1,1,1,2,1,1,2,1,3,2,2,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,3,3,1,4,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1],[1,1,18,72,1,12,27,27,9,36,216,1,12,9,9,72,24,12,12,36,36,9,27,54,27,54,54,
54,4,27,27,12,12,18,36,18,72,36,72,9,36,9,27,54,54,27,4,4,4,12,12,12,12,9,27,
9,9,18,27,9,9,36,18,1,27,12,12,4,12,12,12,12,9,9,9,9,9,9,9,1,1,1,4,4,12,9,1,3,
3,2,2,4,4,1,3,3,1,1,2,1,1,2,1,1,1,1,1,1,1,1],[1,1,12,90,3,4,6,9,27,6,45,216,3,
4,6,12,12,12,12,36,12,54,4,48,48,12,54,54,27,27,54,81,9,27,18,27,9,3,6,4,3,18,
18,18,27,18,6,27,2,6,48,36,54,36,36,36,72,36,72,36,6,12,6,18,27,27,9,27,27,27,
27,3,6,4,12,9,18,9,18,12,12,4,4,4,4,4,12,12,12,12,6,6,18,27,18,27,9,9,6,9,18,
9,27,54,54,18,18,18,36,1,27,3,6,18,6,18,2,2,4,6,6,12,2,9,18,12,12,12,9,6,12,
12,12,12,12,12,12,12,27,9,18,9,9,9,9,9,1,1,1,4,4,3,9,1,3,1,3,2,6,9,6,6,12,18,
18,18,6,6,6,6,9,1,3,3,2,2,4,4,1,3,3,3,9,3,3,6,1,1,3,3,1,1,1,2,2,3,1,1,1,1,1,1,
1,1],[1,1,14,56,7,21,7,28,28,168,224,64,7,21,28,7,8,42,56,56,64,112,21,21,84,
84,28,84,42,42,84,64,1,7,8,14,7,7,28,28,7,42,56,28,28,84,84,42,42,84,84,84,21,
21,42,42,84,84,168,168,7,21,28,28,84,42,42,84,21,21,84,84,7,42,56,8,8,7,21,28,
7,8,8,1,1],[1,1,126,28,63,252,28,84,84,36,63,72,28,84,36,36,36,9,28,28,28,36,
28,9,9,1,1],[1,1,54,136,7,41,10,10,92,27,132,68,344,288,480,7,21,28,36,2,6,24,
24,33,24,86,104,72,64,144,120,120,120,41,75,10,46,44,124,124,44,88,88,20,20,
56,8,8,16,68,172,62,62,108,120,52,52,84,104,104,168,104,208,48,272,48,48,48,3,
13,8,18,30,7,9,17,2,6,6,28,28,25,62,56,44,22,28,68,28,28,40,40,84,84,62,62,
124,108,108,24,24,36,36,72,48,48,72,72,11,30,38,11,4,18,12,30,26,27,31,30,86,
78,26,26,51,42,68,52,52,84,84,60,60,216,216,24,24,120,120,24,24,88,88,176,88,
88,24,24,176,176,176,20,20,56,44,44,56,40,40,40,40,16,16,16,16,16,16,20,20,56,
20,22,22,28,28,28,44,4,4,40,40,40,40,8,8,8,8,8,30,44,68,52,68,44,44,56,40,40,
40,40,16,16,16,16,16,16,6,7,21,28,10,20,20,40,36,108,42,42,84,24,24,24,48,72,
17,6,10,31,27,12,18,84,84,18,13,54,15,30,22,22,56,44,44,12,6,6,10,5,5,10,10,
11,22,18,36,30,11,18,36,11,18,11,4,22,11,22,6,6,30,22,22,26,8,8,52,12,24,24,
15,22,18,36,12,12,20,20,40,20,28,22,22,28,40,40,14,22,4,4,20,20,10,10,28,28,
28,20,28,10,10,20,20,4,4,20,4,4,8,8,8,8,6,6,4,4,4,4,12,10,10,12,12,10,28,28,8,
8,8,8,30,30,44,44,44,44,44,18,26,22,36,44,52,22,22,28,20,20,20,20,20,20,40,36,
36,44,28,40,40,8,8,40,40,40,40,8,8,8,8,8,8,16,16,20,20,36,8,40,40,8,8,44,52,
36,68,44,52,36,36,44,20,20,36,8,40,40,8,8,36,12,12,44,44,56,40,40,40,40,40,8,
8,1,7,21,1,2,5,6,6,28,9,3,10,1,3,6,9,18,2,3,3,6,6,5,5,5,10,10,11,3,4,4,22,5,5,
10,10,11,22,15,22,18,36,18,36,3,3,6,6,6,6,6,6,11,18,22,36,11,18,5,5,10,10,10,
10,10,10,3,3,2,2,9,9,18,18,36,12,12,12,12,20,20,40,12,12,20,20,40,14,22,20,20,
10,10,10,20,20,4,4,4,6,20,14,4,4,10,10,12,12,28,28,20,20,20,20,20,20,12,12,10,
8,8,8,8,8,8,8,8,10,4,6,6,4,4,6,18,10,10,20,20,4,4,4,14,14,20,20,10,4,10,10,28,
28,10,6,4,26,18,18,10,2,4,18,36,44,44,44,2,4,2,4,6,6,2,4,6,4,4,4,4,12,12,12,
12,4,4,12,12,12,12,12,12,12,4,12,4,4,4,4,12,12,12,12,1,3,6,3,10,3,1,3,2,1,3,2,
6,3,3,6,1,2,1,2,3,3,3,6,6,3,2,5,3,3,6,6,6,6,6,6,5,5,10,10,5,5,3,2,5,5,10,10,5,
5,11,18,3,2,3,2,3,2,1,2,9,18,3,6,6,6,2,2,4,6,2,4,10,10,2,2,2,2,6,6,12,6,6,2,2,
14,20,2,2,2,4,2,6,6,2,2,2,6,6,6,10,6,10,4,4,6,20,10,4,4,2,4,6,6,2,2,6,6,6,4,4,
4,12,12,4,1,1,1,3,3,1,1,1,1,1,2,3,3,6,6,1,1,3,1,1,1,1,3,3,3,3,2,3,1,2,1,1,2,1,
1,5,1,1,3,3,5,2,2,2,2,2,2,6,2,2,6,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,18,72,
8,32,12,42,36,9,24,36,144,8,32,48,42,2,36,6,36,27,18,108,18,6,36,36,54,36,18,
72,72,16,8,48,96,48,24,24,24,9,36,6,36,12,54,9,9,18,36,36,18,36,18,36,36,36,6,
36,18,18,18,36,36,36,18,36,36,16,2,16,8,24,48,24,24,24,24,24,24,48,9,1,6,9,9,
9,6,18,18,36,18,18,9,18,9,18,18,18,36,18,36,18,18,18,36,16,32,6,12,2,12,48,6,
8,24,24,24,24,24,24,24,9,6,18,18,9,9,18,18,18,16,8,2,6,2,6,12,6,6,6,12,6,24,9,
8,8,8,2,6,6,6,6,6,6,6,1,8,6,1,2,1],[1,1,18,72,8,32,54,36,9,24,36,144,8,32,48,
6,2,72,6,36,27,18,108,6,18,36,36,18,36,36,18,72,72,16,56,96,72,24,24,9,36,6,
12,36,18,36,9,9,18,36,36,18,36,18,36,36,36,6,36,18,18,18,36,36,36,36,18,36,16,
2,16,24,8,72,24,24,24,24,72,9,1,6,9,9,9,6,18,18,36,18,18,9,18,9,18,18,18,36,
18,36,18,18,18,36,16,32,6,12,2,12,48,6,8,24,24,24,24,24,24,24,9,6,18,18,9,9,
18,18,18,16,8,2,6,2,6,12,6,6,6,12,6,24,9,8,8,8,2,6,6,6,6,6,6,6,1,8,6,1,2,1],[
1,1,30,72,8,32,1,51,18,18,36,15,60,36,72,8,32,48,96,96,96,20,36,15,18,15,63,
18,18,36,36,36,36,72,72,36,60,72,72,16,48,96,8,24,32,48,96,24,24,9,15,15,18,
18,20,60,36,36,9,9,18,36,9,18,45,36,72,72,72,36,36,36,36,36,72,16,16,16,2,16,
48,8,24,24,24,24,24,24,24,24,24,48,96,6,10,15,9,18,9,9,9,9,9,36,36,18,36,36,
18,36,36,36,36,72,16,16,16,2,6,16,12,48,6,12,48,8,24,24,24,24,24,24,24,24,24,
1,9,18,9,18,18,18,18,18,8,16,2,2,6,12,6,6,12,48,6,6,6,24,24,9,8,8,8,2,2,6,6,6,
6,6,6,6,6,1,8,6,6,1,1,1,1],[1,1,66,8,32,42,108,33,168,8,32,192,64,2,36,72,42,
48,27,54,36,90,216,16,48,96,24,32,96,24,6,9,18,6,27,27,54,36,36,18,54,108,16,
64,2,16,96,8,24,24,48,24,48,1,27,54,18,18,9,54,18,16,32,6,12,48,24,24,24,24,9,
6,9,9,18,16,8,2,2,6,6,24,9,8,2,6,6,6,1,6,1,2,1],[1,1,18,48,8,32,42,108,9,24,
24,144,8,32,192,64,2,36,72,6,36,48,27,54,36,72,18,72,144,16,48,96,24,32,96,24,
6,9,18,6,9,18,18,18,9,36,36,36,18,18,36,36,36,36,16,64,2,16,96,8,24,24,48,24,
48,1,18,18,9,36,18,18,9,18,36,18,16,32,6,12,48,24,24,24,24,9,6,9,9,18,16,8,2,
2,6,6,24,9,8,2,6,6,6,1,6,1,2,1],[1,1,18,8,32,42,36,9,24,8,32,2,36,6,27,18,108,
36,36,18,16,48,96,24,24,9,6,9,9,36,36,36,18,36,36,16,2,16,8,24,24,24,1,18,9,
18,18,18,9,16,6,12,48,24,24,9,9,9,16,8,2,2,6,6,9,8,6,6,1,1,1],[1,1,18,8,32,42,
36,9,24,8,32,2,36,6,27,18,72,36,36,36,18,16,48,96,24,24,9,6,9,9,36,36,36,18,
36,36,16,2,16,8,24,24,24,1,18,9,18,18,18,9,16,6,12,48,24,24,9,9,9,16,8,2,2,6,
6,9,8,6,6,1,1,1],[1,1,42,96,8,32,6,18,18,72,21,96,48,144,288,8,32,96,96,96,32,
32,96,96,2,24,24,36,24,72,72,72,9,18,36,36,36,36,36,36,36,18,108,108,72,72,
144,16,24,48,16,16,96,96,96,96,96,48,48,24,3,3,18,18,18,6,9,18,9,9,18,36,18,
54,72,72,72,72,36,18,18,18,18,18,36,16,16,16,32,32,2,16,8,24,24,24,24,24,24,
24,24,24,48,48,1,18,18,9,18,9,9,9,18,18,18,18,18,18,16,16,16,32,32,6,12,48,12,
12,24,24,12,12,24,24,24,24,3,3,9,9,9,9,9,8,16,2,2,6,6,12,12,9,8,1,1,6,6,3,3,1,
3,3,1,1,1,1],[1,1,18,144,8,32,6,12,18,18,9,24,72,72,144,144,8,32,24,120,96,96,
3,3,2,6,18,36,36,9,18,18,54,12,12,36,18,18,36,18,72,36,18,72,72,72,72,16,4,4,
24,48,12,60,96,24,6,18,6,6,18,9,9,9,9,9,36,18,18,18,36,18,18,36,9,9,9,9,36,18,
18,3,3,9,9,18,18,18,18,18,18,27,27,36,36,36,18,18,16,16,16,2,16,12,8,12,12,12,
12,24,12,48,24,24,24,24,36,12,24,1,3,3,9,9,9,3,3,9,9,9,9,18,9,9,9,9,9,9,9,9,9,
9,9,18,18,18,18,18,18,18,18,18,9,9,9,9,18,18,16,16,16,6,6,6,1,1,3,3,12,48,4,4,
12,12,24,12,12,12,12,12,24,12,12,12,3,3,9,9,9,9,9,9,9,9,9,9,9,9,9,8,16,2,3,3,
2,6,3,3,3,3,6,6,6,3,3,6,6,12,12,9,4,4,4,4,8,1,1,3,3,6,3,3,6,3,3,3,3,3,3,1,4,4,
3,3,1,1,1,1],[1,1,26,16,8,16,30,6,6,13,16,8,16,8,128,8,32,32,30,12,2,6,45,6,
36,30,16,16,48,24,24,16,64,8,16,3,15,2,30,9,18,36,36,18,16,32,32,12,2,12,8,8,
16,8,24,24,48,3,6,9,9,18,18,16,16,16,12,12,2,24,12,8,8,12,8,1,9,9,8,16,12,12,
6,3,8,1,1,2,1,3,1,1],[1,1,2,24,16,8,16,12,18,6,6,1,12,16,8,16,8,32,8,32,96,32,
18,12,12,2,6,9,6,36,36,12,18,16,16,48,24,24,16,16,8,16,48,3,3,2,12,12,18,9,18,
36,36,18,16,32,32,12,2,12,8,8,16,8,24,24,48,3,6,9,9,18,18,16,16,16,12,12,2,12,
12,8,8,12,12,8,1,9,9,8,16,12,12,6,3,8,1,1,2,1,3,1,1],[1,1,30,72,8,32,7,21,15,
60,36,72,288,8,32,48,24,24,3,9,20,15,18,72,72,72,21,45,36,36,12,12,36,36,18,
18,72,60,16,4,4,32,48,32,12,12,96,24,24,18,3,15,15,18,20,60,24,24,18,18,36,9,
18,18,45,36,36,72,72,12,12,36,36,12,12,12,18,18,36,36,36,16,2,16,12,12,12,8,
36,4,12,12,12,12,12,24,48,24,12,12,24,6,10,12,12,24,15,6,9,9,18,12,12,12,18,
18,18,18,18,36,36,36,36,36,36,36,16,16,16,2,6,6,6,16,1,1,6,3,3,4,4,12,8,12,12,
12,12,24,12,12,12,12,12,1,3,3,12,12,12,12,18,18,8,16,2,3,3,6,2,1,3,3,3,3,3,3,
6,3,3,3,6,6,4,6,12,3,4,4,8,4,4,2,2,1,1,3,3,3,3,3,3,3,3,3,3,1,4,4,1,3,1,1,1,
1],[1,1,2,144,16,8,16,18,6,6,1,72,144,16,8,16,8,32,8,32,96,96,96,96,96,48,48,
12,12,2,6,36,9,6,18,18,72,36,36,72,72,16,24,24,48,48,48,96,48,48,48,96,96,192,
96,16,8,16,3,3,2,9,18,18,36,36,36,36,36,72,72,18,36,16,32,16,16,32,12,2,12,8,
8,8,24,24,24,48,24,24,24,48,48,48,6,9,9,9,18,18,18,36,36,16,16,32,32,16,2,12,
12,8,8,12,12,12,12,24,24,48,24,8,24,24,24,24,24,24,1,9,9,18,18,8,16,12,12,12,
24,24,6,24,9,8,8,8,1,1,2,6,6,8,3,3,6,1,1],[1,1,2,144,4,20,16,3,3,3,3,18,1,72,
144,4,20,16,20,8,20,32,48,48,144,144,96,48,48,1,3,1,3,12,12,36,3,3,9,36,18,18,
36,36,36,36,36,36,36,16,12,12,12,12,24,24,48,144,72,48,72,96,144,96,96,4,20,
16,1,1,3,3,9,9,9,18,18,18,36,36,36,36,36,36,36,36,18,18,18,16,32,16,16,32,5,4,
4,12,1,4,12,4,12,4,12,12,24,12,12,12,24,12,12,12,12,12,12,24,48,72,3,3,9,9,9,
9,9,18,18,18,18,18,18,16,16,32,32,16,4,5,4,1,12,4,12,12,12,12,12,36,12,12,12,
12,24,12,4,4,12,12,12,12,12,12,12,12,12,12,12,12,1,9,9,9,9,9,9,4,4,16,12,12,
18,12,6,12,12,3,3,12,12,9,4,4,4,4,4,4,1,1,1,1,3,3,3,3,4,4,3,3,3,3,1,1],[1,1,
54,24,8,32,1,15,72,27,132,12,72,8,32,48,96,96,32,32,20,33,24,18,24,15,45,36,
12,36,60,144,144,16,8,24,32,16,16,24,48,48,24,3,3,15,15,20,60,18,18,18,18,45,
36,36,18,36,36,16,32,32,2,16,8,16,24,24,24,24,24,48,24,24,6,10,15,3,18,18,9,
18,18,36,36,16,16,16,2,6,16,6,8,12,12,12,12,24,1,9,9,12,12,8,16,2,2,6,6,12,12,
3,8,1,1,2,2,3,3,1,1,3,1,1,1,1],[1,1,30,40,1,35,10,10,20,15,60,20,40,16,20,20,
15,10,15,55,10,10,20,20,20,20,40,80,80,40,20,60,40,40,16,32,5,15,15,10,10,20,
60,20,20,5,5,10,20,5,10,45,20,40,40,40,20,40,20,20,40,40,40,40,40,20,20,40,16,
16,16,6,10,15,5,10,10,10,5,5,5,5,5,20,20,10,20,20,20,20,20,20,10,20,20,20,20,
20,40,16,16,16,1,5,5,5,10,10,10,5,10,10,10,10,10,10,10,10,16,5,5,5,10,10,1,5,
1,1,1,1,1,1,1],[1,1,18,12,13,24,27,27,9,12,13,24,45,72,45,72,24,9,27,27,12,24,
16,24,27,27,12,36,45,36,9,12,24,16,72,24,24,24,24,24,9,9,9,9,27,27,1,4,8,12,
12,24,36,9,9,9,9,1,1,4,1,8,24,9,4,1,3,3,12,9,4,4,4,1,3,3,4,1,1,1],[1,9,108,12,
13,24,27,162,9,36,36,36,108,36,108,12,144,36,36,216,9,81,81,12,24,16,24,27,54,
108,108,108,108,81,36,36,72,48,12,12,12,12,12,36,36,36,36,24,9,9,9,9,27,27,1,
4,8,36,36,36,36,36,27,27,27,27,4,1,12,12,12,24,9,4,3,6,12,9,4,4,4,1,3,3,4,3,1,
1],[1,9,108,12,13,24,27,162,9,36,36,36,108,36,108,12,36,144,36,216,9,81,81,12,
24,16,24,27,54,108,108,108,108,81,36,36,72,48,12,12,12,12,12,36,36,36,36,24,9,
9,9,9,27,27,1,4,8,36,36,36,36,36,27,27,27,27,4,1,12,12,12,24,9,4,3,6,12,9,4,4,
4,1,3,3,4,3,1,1],[1,1,54,3,4,42,9,27,27,3,4,42,216,54,36,36,54,54,27,27,81,3,
6,16,24,3,18,18,18,27,18,27,36,54,108,27,3,6,16,9,18,9,18,12,12,36,36,24,27,
27,18,27,27,54,54,4,1,8,3,6,18,6,18,36,9,18,12,9,27,27,1,1,1,4,8,12,12,3,9,9,
18,18,18,4,1,3,3,12,9,4,4,4,1,3,3,4,1,1,1],[1,1,36,3,4,42,27,18,3,4,42,36,36,
36,36,84,27,81,27,3,6,16,24,18,18,27,42,18,36,18,81,3,6,16,36,12,12,48,48,24,
27,18,27,27,27,4,1,8,3,18,18,6,6,48,18,27,27,4,4,1,4,8,12,9,9,3,18,4,4,3,6,9,
4,4,4,1,3,3,4,3,1,1],[1,1,108,3,4,42,27,54,3,4,42,108,36,36,36,36,108,108,27,
27,81,3,6,16,24,18,18,27,18,18,36,108,54,81,3,6,16,12,12,12,36,36,36,36,24,24,
24,27,54,27,27,27,4,1,8,3,18,18,18,18,36,6,12,24,27,27,1,4,8,12,12,12,24,24,9,
3,9,18,4,3,6,12,24,9,4,4,4,1,3,3,4,3,1,1],[1,7,84,112,21,21,7,42,56,84,112,
112,112,64,7,7,1,14,21,21,42,42,42,21,42,21,42,42,42,112,28,56,21,21,7,21,21,
42,42,42,21,21,42,42,64,28,28,28,56,28,28,7,7,21,21,21,21,21,28,28,7,28,8,21,
7,7,7,7,8,7,7,1],[1,1,30,20,20,15,45,15,36,20,20,120,40,15,45,15,45,45,45,45,
10,36,20,60,60,60,20,60,15,15,45,45,45,45,45,10,40,36,15,15,60,60,45,10,20,20,
36,15,15,15,15,15,15,10,10,10,15,15,6,6,10,6,6,1,1],[1,1,30,20,20,60,15,36,20,
20,120,40,15,60,45,90,45,10,36,80,60,60,20,60,15,15,90,90,45,10,40,36,15,15,
60,60,45,10,20,20,36,15,30,15,15,15,10,10,10,15,15,6,6,10,6,6,1,1],[1,1,30,20,
20,15,45,15,36,20,20,120,40,45,15,15,45,45,45,45,10,36,20,60,60,60,20,60,15,
15,45,45,45,45,45,10,40,36,15,15,60,60,45,10,20,20,36,15,15,15,15,15,15,10,10,
10,15,15,6,6,10,6,6,1,1],[1,1,30,20,20,60,15,36,20,20,120,40,15,15,45,45,45,
45,45,10,36,80,60,60,20,60,15,15,45,45,45,45,45,10,40,36,15,15,60,60,45,10,20,
20,36,15,15,15,15,15,15,10,10,10,15,15,6,6,10,6,6,1,1],[1,1,90,20,20,1,45,45,
36,20,20,120,60,60,15,15,45,45,45,45,45,10,36,72,60,60,20,20,60,60,15,15,45,
45,45,45,45,10,10,10,36,36,36,15,15,60,60,45,10,10,10,36,15,15,15,15,15,15,10,
10,10,15,15,6,6,10,6,6,1,1],[1,1,90,20,20,1,45,45,36,20,20,120,60,60,15,15,45,
45,45,45,45,10,36,72,60,60,20,20,60,60,15,15,45,45,45,45,45,10,10,10,36,36,36,
15,15,60,60,45,10,10,10,36,15,15,15,15,15,15,10,10,10,15,15,6,6,10,6,6,1,1],[
1,1,90,11,20,13,45,45,6,11,20,90,60,60,45,5,45,135,15,45,45,10,6,36,11,50,60,
50,45,20,45,60,6,45,15,45,45,15,45,45,10,10,10,6,18,18,5,10,5,45,50,45,15,15,
15,45,90,60,6,12,45,10,20,20,10,10,6,18,18,15,5,15,30,5,45,15,15,15,15,15,6,6,
6,10,10,5,10,20,20,18,15,15,1,6,6,6,5,5,5,10,1,3,3,6,5,1,3,1,1,1,1],[1,1,20,
150,1,20,10,3,15,10,75,360,6,1,20,10,20,20,20,20,60,20,30,20,120,120,60,30,30,
5,90,45,15,45,30,45,45,15,10,6,36,1,10,15,30,10,15,10,30,120,60,30,60,60,60,
120,60,120,60,10,20,10,30,6,15,45,15,45,45,45,45,10,20,10,10,20,20,20,6,18,18,
10,5,10,10,30,5,15,15,15,30,15,30,15,15,30,30,30,30,60,6,12,45,10,10,10,10,10,
10,20,20,10,20,20,6,18,18,15,5,15,30,5,15,30,15,15,15,15,15,6,6,6,5,10,10,10,
10,10,10,10,18,15,15,1,6,6,6,5,5,5,10,1,3,3,6,5,1,3,1,1,1,1],[1,63,28,84,63,
252,84,36,9,28,84,63,36,84,28,36,63,28,36,28,9,9,1,1],[1,1,86,72,64,3,45,6,6,
180,43,228,36,216,96,288,64,128,128,1,3,60,12,2,6,24,24,57,24,54,72,24,48,72,
72,72,45,135,6,90,36,36,36,36,72,72,12,12,72,36,108,18,18,36,72,36,36,180,72,
72,360,72,144,432,64,64,64,48,96,3,9,6,18,1,3,45,2,6,6,45,18,36,18,60,180,24,
24,18,18,36,36,36,24,24,36,36,72,48,48,72,72,9,54,54,9,18,18,18,9,9,18,54,54,
18,18,135,90,108,36,36,36,36,72,72,72,72,72,72,144,72,72,144,144,144,12,12,72,
36,36,72,12,12,72,12,18,18,36,36,36,36,54,36,108,36,108,36,36,72,16,48,32,96,
64,48,96,96,192,96,18,30,12,12,24,12,36,24,24,24,48,72,45,6,6,9,9,12,18,18,9,
18,9,18,18,18,36,36,6,6,6,18,9,18,18,36,54,9,18,36,9,18,9,18,9,18,54,18,18,18,
36,27,18,18,36,12,12,12,36,18,18,36,18,18,36,36,36,36,36,36,18,36,36,54,54,36,
36,36,36,36,18,18,18,36,36,36,18,18,36,36,36,36,36,36,36,36,36,108,36,36,36,
36,36,36,108,36,36,72,72,16,48,16,48,32,96,16,48,48,96,48,48,3,1,2,3,6,6,3,3,
3,6,9,18,18,9,9,18,18,9,18,27,18,18,36,18,36,18,9,18,18,36,9,18,18,27,9,18,18,
36,36,36,12,12,12,12,18,18,18,18,36,36,18,18,18,18,18,18,18,36,36,18,18,18,18,
18,18,36,36,36,36,18,36,36,12,24,16,48,48,3,6,3,9,6,9,9,18,9,9,9,9,18,9,18,9,
18,18,18,18,18,18,18,36,4,8,12,12,12,24,12,24,1,3,3,9,9,9,9,4,12,12,3,1,1],[1,
1,38,168,16,15,57,6,6,36,19,84,84,504,672,288,16,32,32,96,19,57,12,84,2,6,24,
24,21,24,126,168,168,192,336,72,72,72,57,63,6,18,36,252,252,36,72,72,36,36,72,
84,252,126,126,252,72,36,36,36,72,72,72,72,144,144,16,48,48,48,16,48,16,3,21,
24,42,18,19,21,3,2,6,6,84,84,21,126,168,36,18,12,12,84,84,24,24,252,252,126,
126,252,252,252,24,24,36,36,72,48,48,72,72,9,18,18,9,18,18,18,63,63,18,126,
126,18,18,9,18,36,36,36,252,252,36,36,504,504,72,72,72,72,144,72,72,144,144,
144,36,36,72,36,36,72,72,72,72,72,36,36,72,36,18,18,36,36,36,36,72,72,72,72,
18,36,36,36,36,36,36,72,72,72,72,72,12,8,16,48,16,48,48,48,48,48,48,48,48,96,
21,63,84,12,12,24,84,252,126,126,252,24,24,24,48,72,3,6,6,63,63,12,18,252,252,
18,21,126,9,18,18,18,168,36,36,6,6,6,9,9,18,9,18,18,36,18,9,18,36,9,18,9,18,9,
18,18,18,18,18,36,9,18,18,36,36,36,72,36,36,18,18,36,72,72,18,18,36,36,18,18,
36,36,36,36,36,18,18,36,18,18,36,36,18,18,36,36,36,36,36,18,18,18,36,36,36,18,
18,36,36,36,36,36,36,36,72,36,36,72,72,72,72,72,72,36,36,72,72,36,36,36,36,36,
36,36,36,36,36,36,72,72,36,36,72,72,72,72,72,12,12,24,24,12,12,24,12,8,12,12,
24,16,48,16,16,48,48,48,21,63,1,2,3,6,6,84,21,18,3,6,9,18,9,9,18,9,9,18,18,9,
18,9,9,18,9,18,9,18,18,36,18,36,9,9,18,18,18,18,18,9,18,18,36,9,18,9,9,18,18,
18,18,18,9,18,18,36,36,36,72,36,36,72,18,18,36,36,18,18,36,36,36,18,18,18,36,
36,36,36,36,36,36,36,18,18,36,36,18,18,36,36,18,18,36,36,18,18,18,18,36,36,36,
36,12,12,24,12,12,24,24,12,12,24,12,12,24,24,24,24,24,12,12,24,24,12,24,16,24,
3,3,6,18,3,9,3,9,6,18,9,9,18,9,9,18,18,9,9,18,18,18,18,18,9,9,18,18,9,9,18,18,
9,9,18,9,18,18,18,18,18,18,36,36,18,1,12,12,24,8,12,12,24,12,12,24,24,12,1,9,
9,9,9,18,18,9,9,1,3,3,12,3,1,3,3,1],[1,1,38,104,64,7,33,6,6,36,19,84,52,312,
288,288,64,128,128,7,21,12,36,2,6,24,24,21,24,78,104,72,64,144,72,72,72,33,39,
6,18,36,108,108,36,72,72,12,12,24,52,156,54,54,108,72,36,36,36,72,72,72,72,
144,144,64,64,64,48,96,3,13,8,18,18,7,9,3,2,6,6,28,28,13,54,56,36,18,12,12,28,
28,24,24,84,84,54,54,108,108,108,24,24,36,36,72,48,48,72,72,9,18,18,9,18,18,
18,27,27,18,78,78,18,18,9,18,36,36,36,84,84,36,36,216,216,72,72,72,72,144,72,
72,144,144,144,12,12,24,12,12,24,24,24,24,24,12,12,24,12,6,6,12,12,12,12,24,
24,24,24,18,36,36,36,36,12,12,24,24,24,24,24,16,48,32,96,48,96,96,32,64,192,
64,7,21,28,12,12,24,36,108,42,42,84,24,24,24,48,72,3,6,6,27,27,12,18,84,84,18,
13,54,9,18,18,18,56,36,36,6,6,6,3,3,6,9,18,18,36,18,9,18,36,9,18,9,18,9,18,18,
18,18,18,36,9,18,18,36,12,12,24,12,12,6,6,12,24,24,6,6,12,12,6,6,12,12,12,12,
12,6,6,12,6,6,12,12,18,18,36,36,36,36,36,18,18,18,36,36,36,6,6,12,12,12,12,12,
12,12,24,12,12,24,24,24,24,24,24,12,12,24,24,36,36,36,36,36,36,36,36,36,12,12,
24,24,12,12,24,24,24,24,24,16,16,16,48,32,16,16,96,48,16,32,96,16,32,7,21,1,2,
3,6,6,28,9,6,3,6,9,18,3,3,6,3,3,6,6,9,18,3,3,6,9,18,9,18,18,36,18,36,3,3,6,6,
6,6,6,9,18,18,36,9,18,3,3,6,6,6,6,6,9,18,18,36,12,12,24,12,12,24,6,6,12,12,6,
6,12,12,12,6,6,6,12,12,12,12,12,12,12,12,6,6,12,12,6,6,12,12,6,6,12,12,18,18,
18,18,36,36,36,36,12,24,16,16,16,32,1,3,6,6,1,3,1,3,2,6,3,3,6,3,3,6,6,3,3,6,6,
6,6,6,3,3,6,6,3,3,6,6,3,9,18,9,18,6,6,6,6,6,12,12,6,4,8,4,12,24,12,4,24,1,3,3,
3,3,6,6,3,3,4,4,4,8,1,1,1],[1,1,54,72,16,3,29,6,6,84,27,132,36,216,96,288,16,
96,1,3,28,12,2,6,24,24,33,24,54,72,24,48,72,72,72,29,63,6,42,36,36,36,36,72,
72,4,4,24,36,108,18,18,36,72,36,36,84,72,72,168,72,144,240,48,80,48,3,9,6,18,
1,3,17,2,6,6,21,18,36,18,28,68,24,24,18,18,36,36,36,24,24,36,36,72,48,48,72,
72,9,30,30,9,18,18,18,9,9,18,54,54,18,18,51,42,60,36,36,36,36,72,72,72,72,72,
72,144,72,72,144,144,144,4,4,24,12,12,24,4,4,24,4,6,6,12,12,12,12,30,36,60,36,
60,12,12,24,12,8,16,16,48,16,16,80,48,6,10,12,12,24,12,36,24,24,24,48,72,17,6,
6,9,9,12,18,18,9,18,9,18,18,18,36,36,6,6,6,6,9,18,18,36,30,9,18,36,9,18,9,18,
9,18,30,18,18,18,36,15,18,18,36,4,4,4,12,6,6,12,6,6,12,12,12,12,12,12,6,12,12,
30,30,36,36,36,36,36,18,18,18,36,36,36,6,6,12,12,12,12,12,12,36,36,36,60,36,
36,36,36,36,12,36,12,12,24,24,12,20,24,24,20,8,16,16,16,16,16,16,16,1,1,2,3,6,
6,3,1,3,6,9,18,6,3,9,18,6,9,18,15,18,18,36,18,36,6,9,18,18,36,9,18,6,9,9,18,
18,36,12,12,4,4,4,4,6,6,6,6,12,12,6,6,6,6,6,6,6,12,12,6,18,18,18,6,18,36,36,
36,36,6,12,12,4,12,12,24,4,4,12,20,24,24,16,3,6,1,3,2,3,3,6,3,3,3,9,18,9,18,3,
6,6,6,6,6,6,6,12,1,4,8,12,4,4,4,4,4,1,1,1,3,3,3,3,3,2,4,1,1,1,1,1],[1,1,78,72,
64,1,27,6,6,156,39,204,36,168,32,192,64,128,128,4,20,16,24,24,51,48,42,48,8,
48,48,48,15,51,6,78,36,36,12,36,24,24,24,48,48,24,96,12,24,24,84,48,48,312,24,
48,336,64,64,64,48,32,6,6,12,3,15,6,6,12,15,6,8,12,18,20,60,4,4,24,12,24,12,
24,24,24,24,9,42,36,3,4,12,12,6,12,3,6,36,42,6,51,78,84,12,24,12,24,24,24,48,
48,48,48,24,48,24,24,24,24,12,24,12,12,24,24,24,24,24,48,24,72,24,96,24,48,24,
24,16,16,32,64,48,32,96,96,6,6,10,4,6,15,6,3,6,12,6,6,12,12,6,12,6,3,6,6,12,
36,9,18,24,3,6,3,4,3,6,42,6,18,6,12,12,12,12,6,12,12,12,12,12,24,12,12,12,24,
24,24,24,12,12,12,6,6,12,48,36,24,12,12,12,12,12,12,12,24,12,12,12,24,24,24,
12,72,12,12,24,24,24,72,24,32,16,16,16,16,16,16,4,48,48,48,32,1,1,1,3,3,6,2,3,
3,3,3,6,6,6,18,6,12,12,6,12,6,6,3,6,6,12,6,6,6,3,6,18,6,12,24,24,6,6,6,12,12,
6,12,12,6,6,12,12,6,6,6,12,6,12,6,6,12,12,12,4,4,4,8,8,16,16,48,6,6,6,3,6,6,3,
3,6,3,6,3,6,3,3,6,6,6,6,6,6,6,12,12,4,4,4,4,4,4,4,4,4,8,1,3,3,3,3,3,3,4,4,4,3,
1,1],[1,1,14,168,16,1,43,6,6,60,7,12,84,168,96,192,16,32,64,128,12,12,48,2,6,
3,42,24,48,48,48,7,27,6,30,12,108,36,12,24,24,40,16,48,48,72,24,60,72,72,12,
12,12,24,24,96,96,48,48,48,48,32,16,16,32,64,128,16,12,9,3,2,36,3,18,24,12,6,
4,4,12,12,8,8,72,36,72,36,12,12,24,3,18,12,9,6,6,18,9,12,18,18,24,6,3,24,12,
36,24,24,72,24,24,24,24,24,24,24,24,48,48,24,72,48,48,48,24,48,16,12,24,24,12,
12,24,24,24,24,24,24,12,36,36,12,24,24,24,48,72,24,48,48,12,8,32,16,16,16,16,
32,16,16,16,32,32,18,12,18,1,2,9,36,6,6,12,2,6,6,12,12,3,18,6,3,9,3,6,3,6,6,6,
12,12,6,6,12,4,4,12,12,24,24,6,12,12,12,36,24,12,12,12,24,6,6,12,12,6,12,12,
12,12,24,6,6,12,12,12,36,24,12,48,12,12,24,12,24,24,24,24,24,24,12,24,12,12,
24,12,24,12,24,12,12,12,24,24,24,24,24,24,4,4,8,8,8,16,12,8,16,8,16,32,16,16,
16,16,16,16,16,3,1,1,6,12,6,3,6,3,6,12,6,3,3,6,6,3,6,6,6,6,12,18,3,6,3,3,6,6,
12,6,12,6,6,12,24,6,6,6,6,6,12,12,12,6,12,6,12,6,6,6,6,6,6,6,6,12,12,12,12,12,
12,12,12,12,12,4,8,8,16,4,4,8,8,8,8,4,4,4,8,4,8,8,16,8,16,1,6,3,6,6,6,6,3,6,6,
6,3,3,3,3,6,6,6,6,6,6,6,6,6,6,12,12,1,4,8,4,4,4,4,4,4,8,1,3,3,3,3,3,3,2,1,2,4,
3,1,1,1,1],[1,1,38,168,16,3,21,18,18,60,19,84,84,312,96,480,16,32,64,64,1,3,
12,12,2,6,24,24,21,24,78,72,24,48,120,120,120,21,27,18,30,60,36,36,60,72,72,
12,12,24,24,24,48,36,108,42,42,36,120,84,84,36,120,120,72,72,240,144,240,144,
144,144,48,48,32,32,128,16,3,9,6,30,1,3,3,2,6,6,9,18,36,30,12,12,24,24,18,18,
36,36,36,24,24,36,36,72,48,48,72,72,15,18,18,15,12,18,36,30,18,9,21,30,54,54,
18,42,9,18,60,60,60,60,60,72,72,72,72,72,72,72,72,120,120,144,120,120,72,72,
144,144,144,24,24,24,24,24,24,48,48,48,48,48,48,12,6,6,12,12,12,12,12,12,24,
24,24,24,24,18,36,36,36,36,24,24,24,24,24,24,48,48,48,48,48,48,12,8,16,48,16,
32,16,48,16,16,32,12,12,24,12,36,24,24,24,48,72,3,6,6,9,9,12,18,18,9,18,15,18,
30,30,36,36,36,6,6,6,9,18,18,36,18,9,18,36,9,18,15,12,18,9,30,18,18,18,30,18,
18,24,24,60,36,72,72,9,18,18,36,6,6,12,12,6,6,12,6,6,12,12,12,12,12,12,12,24,
24,24,24,6,6,12,12,12,12,12,12,12,12,12,24,24,24,24,18,18,36,36,36,36,36,18,
18,18,36,36,36,12,12,12,12,12,12,24,12,12,24,24,24,24,24,24,24,24,24,48,48,12,
12,12,24,24,24,36,36,36,36,36,36,36,36,36,12,12,12,24,24,24,24,24,24,12,12,24,
24,12,8,8,8,32,16,16,16,16,16,16,16,1,2,3,6,6,3,3,3,6,9,18,15,9,12,12,18,9,18,
9,18,18,36,18,36,9,18,18,36,9,18,3,3,6,6,9,18,18,36,6,6,6,12,12,12,6,6,12,12,
12,12,12,12,12,12,12,12,24,24,24,24,24,24,24,24,6,12,6,6,12,12,6,6,6,12,12,12,
6,12,6,12,18,18,18,6,12,18,36,36,36,36,6,12,6,12,6,12,6,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,24,4,4,8,4,4,12,24,8,16,24,16,3,6,3,3,6,3,6,3,6,9,18,
3,6,3,6,3,6,3,6,9,18,6,12,6,12,6,6,6,6,6,6,12,12,6,6,12,12,6,12,12,12,12,1,8,
4,4,4,4,12,4,4,8,8,1,3,6,3,6,3,6,3,6,3,3,3,2,4,8,3,1,1,1,1],[1,1,38,168,16,3,
21,18,18,60,19,84,84,312,96,480,16,16,16,64,64,1,3,12,12,2,6,24,24,21,24,78,
72,24,48,120,120,120,21,27,18,30,60,36,36,60,72,72,12,12,24,24,24,48,36,108,
42,42,36,120,84,84,36,120,120,72,72,240,144,240,144,144,144,48,48,64,32,32,64,
16,3,9,6,30,1,3,3,2,6,6,9,18,36,30,12,12,24,24,18,18,36,36,36,24,24,36,36,72,
48,48,72,72,15,18,18,15,12,18,36,30,18,9,21,30,54,54,18,42,9,18,60,60,60,60,
60,72,72,72,72,72,72,72,72,120,120,144,120,120,72,72,144,144,144,24,24,24,24,
24,24,48,48,48,48,48,48,12,6,6,12,12,12,12,12,12,24,24,24,24,24,18,36,36,36,
36,24,24,24,24,24,24,48,48,48,48,48,48,4,4,12,16,48,16,16,32,48,16,16,32,12,
12,24,12,36,24,24,24,48,72,3,6,6,9,9,12,18,18,9,18,15,18,30,30,36,36,36,6,6,6,
9,18,18,36,18,9,18,36,9,18,15,12,18,9,30,18,18,18,30,18,18,24,24,60,36,72,72,
9,18,18,36,6,6,12,12,6,6,12,6,6,12,12,12,12,12,12,12,24,24,24,24,6,6,12,12,12,
12,12,12,12,12,12,24,24,24,24,18,18,36,36,36,36,36,18,18,18,36,36,36,12,12,12,
12,12,12,24,12,12,24,24,24,24,24,24,24,24,24,48,48,12,12,12,24,24,24,36,36,36,
36,36,36,36,36,36,12,12,12,24,24,24,24,24,24,12,12,24,24,4,4,12,8,8,16,16,16,
16,16,16,16,16,16,1,2,3,6,6,3,3,3,6,9,18,15,9,12,12,18,9,18,9,18,18,36,18,36,
9,18,18,36,9,18,3,3,6,6,9,18,18,36,6,6,6,12,12,12,6,6,12,12,12,12,12,12,12,12,
12,12,24,24,24,24,24,24,24,24,6,12,6,6,12,12,6,6,6,12,12,12,6,12,6,12,18,18,
18,6,12,18,36,36,36,36,6,12,6,12,6,12,6,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,24,4,4,4,4,8,12,24,8,8,8,12,12,16,3,6,3,3,6,3,6,3,6,9,18,3,6,3,6,3,6,
3,6,9,18,6,12,6,12,6,6,6,6,6,6,12,12,6,6,12,12,6,12,12,12,12,1,4,4,4,4,4,4,12,
4,4,4,4,4,4,1,3,6,3,6,3,6,3,6,3,3,3,2,4,4,4,3,1,1,1,1],[1,1,38,168,64,3,21,18,
18,60,19,84,84,312,96,480,64,128,128,64,64,1,3,12,12,2,6,24,24,21,24,78,72,24,
48,120,120,120,21,27,18,30,60,36,36,60,72,72,12,12,24,24,24,48,36,108,42,42,
36,120,84,84,36,120,120,72,72,240,144,240,144,144,144,64,64,128,128,64,48,96,
3,9,6,30,1,3,3,2,6,6,9,18,36,30,12,12,24,24,18,18,36,36,36,24,24,36,36,72,48,
48,72,72,15,18,18,15,12,18,36,30,18,9,21,30,54,54,18,42,9,18,60,60,60,60,60,
72,72,72,72,72,72,72,72,120,120,144,120,120,72,72,144,144,144,24,24,24,24,24,
24,48,48,48,48,48,48,12,6,6,12,12,12,12,12,12,24,24,24,24,24,18,36,36,36,36,
24,24,24,24,24,24,48,48,48,48,48,48,16,48,32,96,48,96,96,192,16,16,32,64,12,
12,24,12,36,24,24,24,48,72,3,6,6,9,9,12,18,18,9,18,15,18,30,30,36,36,36,6,6,6,
9,18,18,36,18,9,18,36,9,18,15,12,18,9,30,18,18,18,30,18,18,24,24,60,36,72,72,
9,18,18,36,6,6,12,12,6,6,12,6,6,12,12,12,12,12,12,12,24,24,24,24,6,6,12,12,12,
12,12,12,12,12,12,24,24,24,24,18,18,36,36,36,36,36,18,18,18,36,36,36,12,12,12,
12,12,12,24,12,12,24,24,24,24,24,24,24,24,24,48,48,12,12,12,24,24,24,36,36,36,
36,36,36,36,36,36,12,12,12,24,24,24,24,24,24,16,48,32,96,16,16,16,16,32,32,32,
32,48,96,16,32,16,32,1,2,3,6,6,3,3,3,6,9,18,15,9,12,12,18,9,18,9,18,18,36,18,
36,9,18,18,36,9,18,3,3,6,6,9,18,18,36,6,6,6,12,12,12,6,6,12,12,12,12,12,12,12,
12,12,12,24,24,24,24,24,24,24,24,6,12,6,6,12,12,6,6,6,12,12,12,6,12,6,12,18,
18,18,6,12,18,36,36,36,36,6,12,6,12,6,12,6,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,24,16,16,32,32,16,3,6,3,3,6,3,6,3,6,9,18,3,6,3,6,3,6,3,6,9,18,6,12,6,
12,6,6,6,6,6,6,12,12,6,6,12,12,6,12,12,12,12,4,8,4,4,8,8,12,24,12,24,1,3,6,3,
6,3,6,3,6,3,3,4,8,4,4,8,3,1,1],[1,1,30,72,64,1,51,18,18,36,15,60,36,72,32,64,
64,64,4,44,40,6,18,15,18,8,15,63,18,18,36,60,36,36,72,72,24,96,24,24,72,12,48,
72,36,36,60,72,72,64,64,64,48,32,9,21,6,12,15,18,8,36,18,20,60,4,4,24,24,24,
12,48,36,36,36,72,9,18,27,4,18,12,18,54,9,18,18,18,45,36,12,24,72,24,96,24,24,
24,96,12,48,36,36,12,12,24,24,24,24,36,36,36,72,24,24,16,16,32,48,32,16,16,64,
6,6,10,4,6,15,6,9,12,18,6,18,6,12,18,9,18,18,9,27,9,4,18,9,18,18,36,36,12,48,
24,18,12,12,12,12,12,12,24,36,12,12,36,12,12,12,12,12,6,18,12,18,18,36,36,36,
12,12,36,24,36,36,36,72,24,24,32,16,16,16,16,32,16,16,32,4,16,16,48,32,1,1,3,
1,2,6,12,18,9,3,6,6,12,18,3,3,6,6,18,9,18,18,6,18,6,6,3,6,9,18,18,12,6,18,12,
12,6,12,18,12,6,12,18,18,6,6,12,12,4,4,4,16,16,32,4,4,16,3,6,6,3,9,3,6,6,6,6,
6,18,3,6,9,3,6,6,12,6,6,4,4,4,4,4,4,4,4,4,8,3,3,1,3,3,3,3,4,4,4,3,1,1],[1,1,
38,104,64,7,33,6,6,36,19,84,52,216,224,288,64,128,128,7,21,20,28,21,8,54,56,
56,64,112,72,72,72,33,63,6,18,12,108,108,12,24,24,12,12,24,52,108,54,54,84,72,
24,24,60,48,48,48,48,96,48,96,48,48,48,64,64,64,48,32,1,7,8,14,18,7,7,15,28,
28,21,54,56,12,6,20,60,28,28,24,24,84,84,54,54,108,84,84,3,6,18,3,4,12,18,12,
21,27,18,54,42,12,12,45,12,24,24,24,84,84,36,36,168,168,24,24,72,72,24,24,24,
24,48,24,24,24,24,48,48,48,12,12,24,36,36,24,24,24,24,24,12,12,24,12,18,18,12,
12,12,36,24,24,24,24,6,12,24,24,24,36,36,24,24,24,24,24,16,16,32,48,32,32,32,
64,64,64,6,7,21,28,10,12,12,24,28,84,42,42,84,15,6,27,21,84,84,7,42,9,18,6,6,
56,12,12,12,6,3,3,6,6,3,6,6,3,3,3,4,6,3,6,6,6,6,6,6,12,8,8,24,12,24,24,3,6,12,
12,12,12,24,12,12,18,18,12,24,24,6,18,12,12,6,6,12,12,12,12,12,6,6,12,12,12,6,
6,12,6,6,12,12,6,12,12,6,6,12,12,12,12,12,12,6,12,24,18,18,12,12,12,12,12,12,
12,24,36,36,36,12,24,24,24,24,24,24,12,12,36,24,24,12,24,24,12,24,12,12,12,36,
24,24,12,12,12,36,36,24,24,24,24,24,24,32,16,16,16,16,16,16,4,16,16,32,32,48,
32,1,7,21,3,28,7,3,6,1,2,3,3,3,6,6,3,3,4,4,6,3,3,6,6,3,6,3,6,3,6,3,3,3,6,6,6,
6,6,6,3,3,3,4,4,12,12,12,12,24,12,12,12,12,24,6,18,12,12,6,6,6,12,12,6,12,6,6,
6,12,12,12,12,12,12,12,12,12,12,12,12,6,6,6,6,18,6,6,12,12,6,6,12,12,6,6,6,12,
12,6,6,12,6,12,12,12,6,6,12,12,12,12,12,12,12,12,12,12,12,12,12,12,4,4,4,16,
16,8,8,16,32,1,3,6,1,1,2,3,3,3,3,6,6,3,3,3,3,3,6,6,3,3,3,3,3,3,6,6,6,6,6,12,6,
6,6,12,6,6,6,6,6,6,6,12,6,6,6,6,6,12,4,4,4,4,4,4,4,4,4,8,1,3,3,3,3,3,3,6,6,4,
4,4,8,1,1,1],[1,1,30,72,16,1,51,18,18,36,15,60,36,72,96,16,96,64,12,28,48,2,6,
15,18,24,15,63,18,18,36,108,36,36,24,24,24,96,24,24,72,36,72,24,12,12,60,72,
72,32,16,48,32,48,9,17,2,36,15,18,24,12,18,20,60,12,12,8,8,72,36,72,36,12,12,
24,9,6,15,12,6,36,18,42,9,6,18,6,45,36,36,72,72,24,96,24,24,24,96,12,48,36,36,
12,12,24,24,24,24,12,36,36,72,24,24,12,8,32,16,16,16,48,48,16,16,32,6,18,10,
12,18,15,2,9,36,6,2,6,6,24,18,9,6,6,9,15,9,12,6,9,6,6,12,36,12,48,24,18,12,12,
12,12,36,12,48,36,12,12,36,12,12,12,12,36,18,18,12,6,6,12,36,36,12,12,36,24,
12,12,36,72,24,24,4,12,8,8,8,16,20,8,8,16,16,16,16,16,16,16,16,1,3,1,3,6,6,12,
6,9,9,6,6,24,18,3,3,6,6,6,9,6,6,18,18,6,6,9,6,3,6,18,12,18,18,12,12,18,12,18,
12,18,12,18,6,6,6,12,12,4,4,8,8,16,4,4,8,8,8,12,4,8,12,8,8,16,1,6,2,3,3,3,6,6,
6,6,6,6,9,6,9,9,6,6,12,6,18,1,4,4,8,4,4,4,4,4,8,1,3,3,3,3,3,3,2,1,2,4,3,1,1,1,
1],[1,1,30,168,16,13,39,6,6,12,15,60,84,168,96,576,16,96,96,96,6,30,28,24,2,6,
15,42,24,144,144,144,27,51,6,6,12,108,132,12,24,24,24,48,48,48,72,96,60,48,48,
168,12,12,60,24,24,48,48,48,48,16,16,16,48,48,48,384,48,36,6,3,17,2,12,24,15,
42,24,12,6,20,60,12,12,56,56,48,24,36,48,96,24,36,12,12,24,3,6,9,6,6,18,3,18,
42,36,6,6,45,12,24,12,72,72,24,48,24,24,144,144,24,24,24,24,24,24,24,96,72,48,
48,24,24,48,48,48,24,48,48,24,48,36,24,12,12,72,24,48,48,24,24,24,24,12,12,12,
72,72,24,48,24,48,24,48,48,12,8,48,48,16,16,48,48,48,48,48,48,48,96,6,3,3,12,
10,24,24,48,12,6,12,15,14,18,3,12,24,6,18,36,12,2,6,9,3,6,6,3,6,6,3,9,3,6,3,6,
6,6,12,6,12,24,24,12,12,24,24,12,48,36,24,48,24,6,36,12,24,12,6,6,12,12,18,6,
12,12,12,6,6,12,12,6,12,12,6,12,6,6,12,12,36,36,12,12,24,12,24,12,12,24,72,72,
72,12,24,48,24,24,24,24,24,24,24,24,12,12,72,24,24,24,12,12,12,12,12,72,24,24,
24,12,12,72,72,24,48,24,48,24,24,24,4,12,8,8,4,12,8,20,8,12,20,8,32,16,16,16,
48,48,48,48,1,3,1,6,6,6,3,9,6,6,3,3,6,3,9,3,6,6,6,6,6,6,3,6,6,3,3,6,6,6,3,6,3,
6,24,24,12,12,24,24,24,12,12,24,6,36,24,12,6,6,12,6,6,12,12,12,12,12,6,6,6,36,
6,6,12,12,12,12,6,12,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,4,4,8,20,12,8,12,12,8,8,12,12,12,12,8,12,8,16,24,16,8,1,6,6,3,3,2,
3,3,6,3,3,6,6,6,3,6,3,6,3,3,6,6,6,6,6,6,6,12,6,6,6,6,6,6,6,6,6,6,12,12,1,4,4,
4,12,8,12,12,12,8,1,3,3,3,3,3,3,6,6,6,6,1,1,1,4,2,2,3,1,1,1,2,2,1],[1,1,14,72,
16,13,31,18,18,84,7,12,36,72,96,16,32,32,32,6,30,12,24,2,6,3,18,24,19,15,18,
42,36,60,84,36,72,72,16,40,48,24,24,24,48,36,24,48,24,12,12,12,24,24,16,16,16,
16,16,16,16,6,3,3,2,12,24,3,18,24,36,18,4,4,12,12,8,8,48,24,12,24,48,24,36,12,
12,24,9,18,36,15,12,6,36,42,18,3,6,6,12,6,6,3,12,24,12,24,48,12,12,36,12,24,
24,24,12,36,24,16,24,12,24,12,12,24,12,12,24,48,48,24,24,24,12,24,12,12,12,12,
12,24,24,12,8,16,16,16,16,16,16,16,16,16,16,16,3,3,12,12,6,12,1,2,6,3,12,24,6,
2,6,12,9,3,6,3,6,6,3,9,9,12,18,3,6,6,12,6,12,4,4,12,12,24,12,18,6,12,24,6,12,
12,24,12,12,12,12,24,12,12,24,24,12,24,12,12,12,12,12,12,12,12,12,12,12,6,12,
6,6,12,12,24,12,6,6,12,12,12,24,12,12,12,12,12,12,12,12,24,24,4,4,8,8,4,12,8,
12,8,4,12,8,16,16,16,16,16,16,16,3,1,1,6,3,3,9,6,3,6,9,3,6,6,6,6,3,6,6,6,3,3,
6,6,6,3,6,3,3,6,6,12,6,12,6,24,12,12,6,12,12,12,6,6,6,12,12,6,12,6,6,6,6,6,6,
12,12,12,12,12,12,4,8,12,4,8,4,4,4,4,4,4,8,8,4,8,4,8,8,16,1,3,3,3,3,6,6,6,3,3,
6,6,3,6,3,3,3,6,6,6,6,6,6,6,6,1,4,8,4,4,4,4,4,4,8,1,3,3,3,3,3,3,1,1,1,4,3,1,1,
1,1],[1,1,10,40,70,30,30,5,96,40,160,50,60,10,30,45,30,60,10,96,80,40,80,15,
15,10,10,45,90,60,60,30,96,50,40,40,40,40,1,30,15,45,30,30,10,20,60,40,40,5,
15,15,10,10,10,16,5,6,5,10,6,5,1],[1,1,21,40,60,45,36,21,40,60,15,15,45,30,60,
40,36,60,60,45,36,45,30,60,40,36,15,30,15,30,15,15,45,10,36,10,60,60,15,15,45,
10,36,10,15,15,10,6,6,15,15,10,6,6,1,1],[1,1,38,72,16,32,64,3,21,6,6,36,19,84,
36,216,96,288,16,32,64,32,32,32,128,1,3,12,12,2,6,24,24,21,24,54,72,24,48,72,
72,72,21,27,6,18,36,36,36,36,72,72,36,108,18,18,36,72,36,36,36,72,72,72,72,
144,144,64,48,48,96,96,16,32,64,48,96,3,9,6,18,1,3,3,2,6,6,9,18,36,18,12,12,
24,24,18,18,36,36,36,24,24,36,36,72,48,48,72,72,9,18,18,9,18,18,18,9,9,18,54,
54,18,18,9,18,36,36,36,36,36,72,72,72,72,72,72,144,72,72,144,144,144,18,36,36,
36,36,64,128,12,8,8,16,48,24,8,32,96,16,48,32,96,48,96,96,192,48,96,12,12,24,
12,36,24,24,24,48,72,3,6,6,9,9,12,18,18,9,18,9,18,18,18,36,36,6,6,6,9,18,18,
36,18,9,18,36,9,18,9,18,9,18,18,18,18,18,36,9,18,18,36,18,18,36,36,36,36,36,
18,18,18,36,36,36,36,36,36,36,36,36,36,36,36,64,12,12,24,24,24,24,48,48,8,8,
12,16,48,8,24,32,96,16,32,48,96,1,2,3,6,6,3,3,6,9,18,9,18,9,18,9,18,18,36,18,
36,9,18,18,36,9,18,9,18,18,36,18,18,18,18,36,36,36,36,16,32,12,12,24,24,24,48,
12,24,12,24,24,48,24,24,24,3,6,9,18,9,18,16,32,1,2,4,8,8,8,8,12,24,12,24,12,
24,1,3,6,4,8,1,1,2,1],[1,1,66,72,8,32,12,42,108,33,168,36,144,8,32,192,48,64,
42,2,36,72,42,48,36,27,54,108,90,6,36,36,36,36,54,36,90,216,72,72,16,8,48,96,
48,24,24,32,96,24,6,9,18,36,6,36,12,54,27,27,54,18,36,36,90,36,18,36,36,36,72,
72,6,36,54,18,18,36,36,36,54,108,18,108,36,72,72,16,64,2,16,96,8,24,48,24,24,
24,24,48,24,48,24,48,9,1,6,27,27,54,9,6,18,18,36,54,18,9,18,18,9,54,54,18,18,
36,18,36,36,18,36,18,18,18,36,16,32,32,6,12,2,12,48,6,8,24,24,24,24,24,24,24,
24,24,9,27,27,6,6,18,18,9,18,9,9,9,18,18,18,18,18,16,16,16,8,2,6,2,6,12,6,6,6,
12,6,24,24,9,9,9,9,9,9,9,16,8,8,8,2,2,6,6,6,6,6,6,6,6,9,1,8,6,6,1,2,2,1,1,1,
1],[1,1,66,72,8,32,54,108,33,168,36,144,8,32,192,48,64,6,2,72,72,42,48,36,27,
54,108,6,18,108,36,36,36,18,36,36,90,216,72,72,16,56,96,72,24,32,96,24,6,9,18,
36,6,12,36,18,36,27,27,54,18,36,36,18,108,18,36,36,36,72,72,6,36,18,36,18,18,
36,36,36,54,108,36,18,72,36,72,72,16,64,2,16,96,24,8,72,24,24,24,48,24,48,72,
9,1,6,9,18,27,54,9,6,18,18,36,18,36,18,9,18,18,9,54,18,36,18,18,36,18,36,36,
18,36,18,18,18,36,16,32,32,6,12,2,12,48,6,8,24,24,24,24,24,24,24,24,24,9,9,18,
9,18,6,6,18,18,9,18,9,9,9,18,18,18,18,18,16,16,16,8,2,6,2,6,12,6,6,6,12,6,24,
24,9,9,9,9,9,9,9,16,8,8,8,2,2,6,6,6,6,6,6,6,6,9,1,8,6,6,1,2,2,1,1,1,1],[1,1,
18,120,8,32,12,42,108,9,24,60,144,144,8,32,192,48,64,42,2,36,72,6,36,48,36,27,
54,108,18,6,108,36,36,36,54,108,18,72,72,144,72,16,8,48,96,48,24,24,32,96,24,
6,9,18,36,6,36,12,54,9,18,18,18,9,36,18,36,36,18,36,18,108,36,36,72,72,6,36,
18,36,18,18,36,36,36,18,36,36,36,36,18,36,72,36,72,72,16,64,2,16,96,8,24,48,
24,24,24,24,48,24,48,24,48,9,1,6,9,18,18,18,9,36,9,6,18,18,36,18,36,18,9,18,
18,9,18,36,18,36,18,18,36,18,36,36,18,36,18,18,18,36,16,32,32,6,12,2,12,48,6,
8,24,24,24,24,24,24,24,24,24,9,9,18,9,18,6,6,18,18,9,18,9,9,9,18,18,18,18,18,
16,16,16,8,2,6,2,6,12,6,6,6,12,6,24,24,9,9,9,9,9,9,9,16,8,8,8,2,2,6,6,6,6,6,6,
6,6,9,1,8,6,6,1,2,2,1,1,1,1],[1,1,18,120,8,32,54,108,9,24,60,144,144,8,32,192,
48,64,6,2,72,72,6,36,48,36,27,54,108,78,18,36,36,36,36,18,36,108,18,72,72,144,
72,16,56,96,72,24,32,96,24,6,9,18,36,6,12,36,18,36,9,18,18,18,9,36,18,36,36,
18,36,18,36,108,36,72,72,6,36,18,36,18,18,36,36,36,18,36,36,36,36,36,18,72,36,
72,72,16,64,2,16,96,24,8,72,24,24,24,48,24,48,72,9,1,6,9,18,18,18,9,36,9,6,18,
18,36,18,36,18,9,18,18,9,18,36,18,36,18,18,36,18,36,36,18,36,18,18,18,36,16,
32,32,6,12,2,12,48,6,8,24,24,24,24,24,24,24,24,24,9,9,18,9,18,6,6,18,18,9,18,
9,9,9,18,18,18,18,18,16,16,16,8,2,6,2,6,12,6,6,6,12,6,24,24,9,9,9,9,9,9,9,16,
8,8,8,2,2,6,6,6,6,6,6,6,6,9,1,8,6,6,1,2,2,1,1,1,1],[1,1,30,216,8,32,13,63,18,
18,36,15,60,108,216,288,576,8,32,48,48,144,96,96,6,54,20,72,15,54,72,144,144,
144,27,63,18,18,36,180,252,36,24,24,72,72,144,108,72,144,144,60,72,72,144,144,
144,144,16,8,56,96,56,72,32,24,72,96,192,24,24,36,6,9,15,36,72,15,54,72,18,20,
60,36,36,48,48,144,72,36,72,144,72,108,9,9,18,36,9,18,36,36,18,45,36,72,36,72,
72,72,144,72,72,144,144,72,72,72,72,24,24,72,72,72,72,72,72,72,72,24,24,72,24,
36,36,36,36,36,72,72,72,72,72,36,36,72,72,72,72,72,72,72,16,16,16,2,16,24,72,
24,8,72,56,72,24,24,24,72,24,72,24,72,24,24,24,24,24,72,72,144,96,48,6,9,9,36,
10,24,24,48,36,18,36,15,12,18,9,36,72,18,36,36,9,9,18,9,9,9,9,9,18,18,36,24,
24,36,36,72,24,36,36,36,36,72,72,18,36,36,36,18,18,18,18,36,36,18,18,18,36,36,
18,36,36,36,36,36,36,36,36,36,36,72,72,72,72,36,72,72,72,72,72,72,36,36,72,72,
72,36,36,36,72,72,72,36,36,72,72,72,72,72,72,72,16,32,32,16,16,2,6,12,12,16,2,
2,12,48,6,6,6,12,48,8,8,24,72,24,8,24,72,24,24,24,24,24,24,24,24,24,24,24,24,
72,72,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,1,9,6,6,18,9,9,9,9,9,18,
9,9,9,18,9,24,24,36,36,72,24,24,36,36,72,18,36,36,36,18,18,18,18,36,36,36,36,
18,18,18,36,18,18,36,36,18,18,18,18,18,36,36,36,36,36,36,36,36,36,36,36,36,16,
16,8,16,32,32,2,6,6,12,2,2,6,12,12,6,6,12,6,6,6,6,6,6,12,12,12,12,12,48,6,6,6,
6,6,12,12,6,12,24,8,12,24,24,24,24,24,24,24,24,24,24,24,24,24,24,6,18,9,9,9,
18,18,36,18,18,18,18,18,18,36,8,8,8,8,8,8,8,16,2,2,2,2,6,6,12,6,6,12,6,6,6,6,
12,12,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,24,9,1,8,8,8,8,8,8,
8,2,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,1,1,1,2,2,8,6,1,1,1,2,2,1],[1,1,78,120,8,32,
1,51,18,18,180,39,204,60,216,576,8,32,48,192,192,96,64,64,96,96,20,36,72,72,
51,48,54,48,144,144,144,15,63,18,90,108,36,36,108,72,72,72,24,144,36,72,132,
144,144,360,72,144,432,16,48,96,8,24,32,48,32,32,96,192,192,192,192,24,96,96,
24,6,6,36,9,15,18,18,15,18,36,54,20,60,36,36,72,72,72,72,27,54,36,9,36,18,36,
9,18,36,54,18,63,90,108,36,72,72,72,144,144,144,144,72,72,72,36,36,36,72,72,
72,72,144,72,16,16,16,64,64,2,16,48,96,96,8,24,24,32,24,48,48,24,24,96,24,24,
24,24,48,48,48,96,96,96,6,10,15,18,9,18,6,18,36,36,18,9,18,18,36,36,27,54,72,
9,18,9,9,18,54,18,18,18,36,36,36,36,18,36,36,18,72,36,72,36,36,36,36,36,36,36,
36,36,72,36,36,72,72,72,72,16,32,32,16,16,64,64,2,6,16,12,48,6,12,48,8,24,24,
96,24,24,48,24,24,48,48,48,24,24,24,24,24,24,24,1,9,9,18,9,18,18,18,36,36,9,
18,18,18,18,36,24,24,18,18,18,18,18,18,36,18,36,36,16,16,8,16,32,32,2,2,6,12,
6,6,12,48,6,6,6,24,24,24,24,24,24,24,24,6,9,9,9,18,18,18,36,8,8,8,16,2,2,2,2,
6,6,6,6,6,6,6,6,6,6,24,9,1,8,2,6,6,6,6,6,6,6,1,1,1,2,2,6,1,1,1,2,2,1],[1,1,30,
72,8,32,1,51,18,18,36,15,60,36,72,8,32,48,96,96,96,20,36,15,18,15,63,18,18,36,
36,36,36,72,144,72,72,72,36,60,72,72,16,48,96,8,24,32,48,96,24,24,9,15,15,18,
18,20,60,36,36,9,9,18,36,9,18,45,36,72,72,72,36,72,36,36,36,36,72,72,72,72,36,
36,72,16,16,16,2,16,48,8,24,24,24,24,24,24,24,24,24,48,96,6,10,15,9,18,18,18,
9,9,9,9,9,36,36,18,36,36,36,36,36,36,18,36,36,36,36,36,72,16,16,16,2,6,16,12,
48,6,12,48,8,24,24,24,24,24,24,24,24,24,1,18,9,18,18,9,9,9,18,18,18,18,18,18,
18,18,16,16,8,16,2,2,6,12,6,6,12,48,6,6,6,24,24,9,9,9,18,18,8,8,8,16,2,2,6,6,
6,6,6,6,6,6,9,1,8,6,6,1,1,1,1,1,1,1],[1,1,26,168,16,8,16,12,30,6,6,13,84,432,
16,8,16,8,128,8,32,96,128,96,32,96,96,96,48,48,18,30,12,2,6,108,45,6,108,18,
54,36,72,84,54,108,30,72,72,16,16,16,48,48,24,24,64,48,16,48,96,48,48,48,96,
96,96,96,384,96,64,8,16,48,3,15,2,12,30,12,36,54,9,18,54,108,36,18,36,108,54,
36,36,36,72,72,54,36,54,18,54,36,36,36,54,36,16,32,16,16,32,32,32,12,2,12,8,8,
64,16,48,8,24,48,48,24,24,48,24,48,48,24,24,48,48,96,48,48,48,3,3,18,6,9,9,9,
9,18,18,18,54,36,18,18,9,18,18,18,54,36,18,54,36,36,18,54,36,36,16,16,16,16,
16,16,32,32,16,32,32,12,12,12,12,2,24,12,8,8,12,12,24,12,12,12,24,24,48,24,8,
48,48,24,24,24,24,24,24,1,9,9,9,9,18,18,18,9,9,18,18,18,18,18,8,16,16,16,16,
16,16,16,24,12,12,12,12,12,12,12,12,24,12,12,12,24,24,6,24,3,3,9,9,9,9,9,8,8,
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],[1,1,18,216,12,13,24,27,
27,9,108,648,12,13,24,45,72,45,72,216,72,216,24,180,180,72,216,216,9,27,162,
27,162,162,162,12,24,16,24,27,27,36,108,12,36,180,162,216,162,216,216,324,216,
432,216,36,45,36,108,9,81,162,162,81,12,24,16,72,36,72,36,72,48,48,24,24,24,
24,24,72,72,72,72,24,24,24,9,9,9,9,27,27,27,54,27,27,27,108,108,108,162,1,4,8,
81,12,12,24,36,36,72,12,36,72,48,72,72,36,24,72,72,72,72,72,72,72,72,9,9,9,27,
27,54,54,9,27,27,27,27,27,27,4,4,1,1,4,1,8,24,24,12,12,24,24,9,36,36,72,36,4,
27,27,27,27,1,4,3,3,12,6,6,12,12,24,24,12,24,9,9,9,4,4,4,4,4,4,4,1,3,3,3,3,6,
3,3,6,12,9,4,4,4,4,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,36,162,3,4,42,9,27,
18,81,648,3,4,42,36,36,36,36,324,36,54,84,72,72,36,162,162,27,27,162,81,27,81,
54,81,27,3,6,16,24,3,18,18,18,27,18,18,27,42,18,72,108,162,108,108,324,216,
324,216,108,18,36,18,162,27,81,27,81,81,81,81,3,6,16,36,9,18,9,18,24,24,12,12,
12,48,48,72,36,36,72,24,24,24,27,18,18,54,27,18,27,27,27,18,27,54,27,27,54,54,
54,54,162,108,4,1,8,81,3,6,18,6,18,6,6,48,18,18,72,6,9,18,24,36,36,9,18,24,72,
72,36,36,36,36,72,72,27,27,27,27,27,54,27,27,27,27,27,1,1,4,4,1,4,8,12,12,24,
24,24,24,3,9,3,9,3,9,6,18,9,18,18,72,18,18,18,18,18,18,18,4,27,27,4,1,3,3,6,
12,12,24,6,12,12,24,24,3,9,9,9,9,9,9,18,4,4,4,4,4,4,4,1,3,3,3,3,3,3,12,6,6,9,
4,4,4,4,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,14,56,112,7,21,7,28,28,168,
224,112,224,224,64,7,21,28,7,8,42,56,56,64,112,21,21,84,84,28,84,42,42,84,112,
112,112,28,56,64,1,7,8,14,7,7,28,28,7,42,56,28,28,84,84,42,42,84,84,84,21,21,
42,42,84,84,168,168,64,28,28,28,56,56,56,112,112,112,7,21,28,28,84,42,42,84,
21,21,84,84,7,42,56,64,28,28,28,28,28,28,28,28,56,56,28,56,8,8,7,21,28,7,7,28,
28,28,56,8,8,1,8,8,7,7,7,8,8,7,1,1],[1,1,14,168,112,21,21,42,7,28,84,168,224,
336,112,224,224,112,112,64,7,21,28,7,8,42,56,112,84,84,84,21,21,42,42,84,84,
42,42,84,42,42,84,84,84,84,168,84,84,84,112,112,224,224,112,28,56,64,1,14,21,
7,7,42,21,42,42,84,84,84,7,21,21,21,42,42,42,42,42,42,84,168,84,42,42,168,84,
84,84,84,21,21,42,42,42,42,42,84,84,84,84,64,28,28,28,56,56,112,28,28,56,112,
28,84,21,21,21,42,21,7,14,42,21,21,21,21,21,21,42,42,42,42,42,42,42,42,42,42,
84,42,42,42,42,64,28,28,28,28,28,28,7,28,56,28,56,28,56,8,7,7,21,21,21,42,42,
42,42,21,21,7,7,7,14,7,14,28,28,28,8,21,8,7,7,7,7,7,7,14,14,8,7,7,1,1],[1,1,
98,112,42,252,49,280,112,224,224,64,14,28,56,70,64,63,126,84,126,504,112,112,
112,112,64,8,7,14,42,21,63,126,84,84,42,84,168,64,28,56,56,112,112,112,224,7,
21,42,42,42,21,84,84,64,28,56,28,56,28,56,56,112,8,7,28,21,21,42,7,28,56,8,21,
8,8,7,7,7,7,8,8,8,7,7,1],[1,1,30,120,20,20,16,60,15,60,360,36,20,20,120,120,
120,40,40,60,60,60,15,60,90,45,180,45,45,90,60,90,90,45,10,36,72,20,80,60,80,
60,20,60,20,20,60,120,120,120,120,60,60,15,60,15,60,30,90,45,90,45,90,45,90,
90,90,45,90,45,45,90,90,45,90,10,10,10,40,40,36,36,36,15,15,60,60,60,80,60,20,
60,60,120,60,60,60,15,15,45,45,90,45,90,45,90,45,90,10,20,20,20,20,10,10,40,
40,36,36,36,15,30,15,15,30,15,15,15,15,15,15,15,60,60,45,10,10,10,10,10,10,10,
20,20,20,20,36,15,15,30,15,15,15,30,15,15,15,15,15,6,6,10,10,10,10,10,10,10,
15,15,6,6,6,6,6,6,10,6,6,1,1,1,1,1],[1,1,30,120,20,20,16,60,15,60,360,36,20,
20,120,120,120,40,40,60,60,15,60,15,45,90,45,45,135,45,45,90,15,45,45,45,90,
45,10,36,72,20,80,60,80,60,20,60,20,20,60,120,120,120,120,60,60,15,15,45,15,
15,15,15,45,45,45,45,45,45,45,45,45,45,90,90,45,45,45,45,45,45,45,45,45,45,45,
45,45,45,10,10,10,40,40,36,36,36,15,15,60,60,60,80,60,20,60,60,120,60,60,60,
15,15,45,45,45,45,45,45,45,45,45,45,45,45,45,10,20,20,20,20,10,10,40,40,36,36,
36,15,15,15,15,15,15,15,15,15,15,15,15,15,15,60,60,45,10,10,10,10,10,10,10,20,
20,20,20,36,15,15,15,15,15,15,15,15,15,15,15,15,15,15,6,6,10,10,10,10,10,10,
10,15,15,6,6,6,6,6,6,10,6,6,1,1,1,1,1],[1,1,126,28,84,63,252,28,84,504,84,84,
36,63,72,28,84,84,252,63,36,36,36,9,28,84,84,28,28,84,36,63,126,28,36,84,28,
36,36,36,63,28,28,28,9,36,28,9,9,9,1,1,1,1],[1,1,86,200,64,7,57,18,18,204,43,
228,100,408,288,864,64,128,128,128,128,64,64,7,21,60,36,2,6,24,24,57,24,102,
104,72,64,144,216,216,216,57,147,18,102,60,156,156,60,120,120,36,36,120,24,24,
48,100,204,78,78,108,216,84,84,180,168,168,360,168,336,144,528,144,144,144,64,
64,64,64,64,128,128,128,128,64,64,48,96,3,13,8,18,54,7,9,45,2,6,6,28,28,49,78,
56,60,30,60,180,28,28,72,72,84,84,78,78,156,108,108,24,24,36,36,72,48,48,72,
72,15,54,78,15,12,18,36,54,42,27,39,54,102,78,42,42,135,90,132,84,84,84,84,
108,108,216,216,72,72,216,216,72,72,120,120,240,120,120,72,72,240,240,240,36,
36,120,108,108,120,72,72,72,72,48,48,48,48,48,48,36,36,120,36,54,54,60,60,60,
108,12,12,72,72,72,72,24,24,24,24,24,54,60,132,84,132,108,108,120,72,72,72,72,
48,48,48,48,48,48,16,48,32,96,64,64,64,48,96,96,32,64,192,64,16,16,96,32,64,
64,64,18,7,21,28,30,36,36,72,36,108,42,42,84,24,24,24,48,72,45,6,18,39,27,12,
18,84,84,18,13,54,27,54,30,30,56,60,60,36,6,6,18,9,9,18,30,15,30,18,36,54,15,
18,36,15,18,15,12,30,15,30,18,18,54,30,30,42,24,24,84,36,72,72,27,30,18,36,36,
36,36,36,72,36,60,54,54,60,72,72,30,54,12,12,36,36,18,18,60,60,60,36,60,18,18,
36,60,12,12,60,12,12,24,24,24,24,18,18,12,12,12,12,36,18,18,36,36,30,60,60,24,
24,24,24,54,54,60,60,60,60,60,18,42,30,36,60,84,54,54,60,36,36,36,36,36,36,72,
108,108,108,60,72,72,24,24,72,72,72,72,24,24,24,24,24,24,48,48,36,36,108,24,
72,72,24,24,60,84,36,132,60,84,36,36,60,36,36,108,24,72,72,24,24,108,36,36,
108,108,120,72,72,72,72,120,24,24,16,16,16,48,16,48,32,16,16,96,16,48,16,16,
16,16,32,32,32,32,48,16,32,96,64,48,16,32,16,48,32,32,32,16,32,3,7,21,1,2,9,6,
6,28,9,9,18,3,3,6,9,18,6,3,3,6,18,15,9,9,18,18,15,9,12,12,30,9,9,18,30,15,30,
27,30,18,36,18,36,3,3,6,6,6,6,6,18,15,18,30,36,15,18,9,9,18,30,18,18,18,18,9,
9,6,6,27,9,18,18,36,36,36,36,36,36,36,72,36,36,36,36,72,30,54,36,36,18,18,30,
36,36,12,12,12,18,36,30,12,12,18,18,36,36,60,60,36,36,36,36,36,36,36,36,30,24,
24,24,24,24,24,24,24,30,12,18,18,12,12,18,54,18,18,36,36,12,12,12,30,30,36,36,
30,12,18,18,60,60,30,18,12,42,18,18,30,6,12,18,36,60,60,60,6,12,6,12,18,18,6,
12,18,12,12,12,12,36,36,36,36,12,12,36,36,36,36,36,36,36,12,36,12,12,12,12,36,
36,36,36,12,24,16,48,16,16,16,16,16,16,16,16,16,16,16,16,32,32,16,16,16,48,16,
16,16,32,1,3,6,9,18,9,1,3,6,1,3,2,6,3,3,6,3,6,3,6,9,3,3,6,6,9,6,15,3,3,6,6,6,
6,6,18,9,9,18,18,15,15,9,6,9,9,18,18,15,9,15,18,9,6,9,6,9,6,3,6,9,18,9,6,6,6,
6,6,12,18,6,12,18,30,6,6,6,6,18,18,36,18,18,6,6,30,36,6,6,6,12,6,18,18,6,6,6,
18,18,18,30,18,30,12,12,18,36,18,12,12,6,12,18,18,6,6,18,18,18,12,12,12,36,36,
12,4,8,4,12,4,4,12,8,8,12,24,12,4,24,16,16,16,1,3,3,3,3,3,3,3,3,3,6,3,3,6,6,3,
3,9,3,3,3,3,9,9,9,9,6,3,3,6,3,3,6,3,3,15,3,3,9,9,9,6,6,6,6,6,6,18,6,6,18,4,4,
8,4,4,4,12,4,8,4,4,4,8,4,4,12,3,3,1,3,3,3,3,3,3,3,3,3,3,3,3,1,4,4,4,3,1,1,1,
1],[1,1,86,200,64,7,57,18,18,204,43,228,100,600,416,864,64,128,128,128,128,64,
64,7,21,44,52,6,18,72,72,57,56,150,200,104,64,208,216,216,216,57,99,18,102,
108,156,156,108,216,216,36,36,120,24,24,48,100,300,78,78,156,216,108,108,132,
216,216,408,216,432,48,624,48,48,48,64,64,64,64,64,128,128,128,128,64,64,48,
32,7,25,8,26,54,7,13,21,6,18,18,28,28,33,78,56,108,54,44,84,28,28,72,72,84,84,
78,78,156,156,156,72,72,108,108,216,144,144,216,216,27,78,78,27,4,54,12,54,54,
39,39,54,150,150,54,54,63,102,156,108,108,84,84,108,108,312,312,24,24,216,216,
24,24,216,216,432,216,216,24,24,432,432,432,36,36,120,60,60,120,72,72,72,72,
48,48,48,48,48,48,36,36,120,36,30,30,60,60,60,60,12,12,72,72,72,72,24,24,24,
24,24,78,108,156,108,156,60,60,120,72,72,72,72,48,48,48,48,48,48,16,16,32,64,
64,64,48,32,32,32,64,64,64,16,16,96,96,64,64,64,6,7,21,28,10,36,36,72,52,156,
42,42,84,72,72,72,144,216,21,18,18,39,39,36,54,84,84,54,25,78,27,54,54,54,56,
108,108,12,18,18,18,9,9,18,18,27,54,54,108,78,27,54,108,27,54,27,4,54,27,54,6,
6,78,54,54,54,8,8,108,12,24,24,39,54,54,108,12,12,36,36,72,36,60,30,30,60,72,
72,30,30,12,12,36,36,18,18,60,60,60,36,60,18,18,36,36,12,12,36,12,12,24,24,24,
24,6,6,12,12,12,12,12,18,18,12,12,18,60,60,24,24,24,24,78,78,108,108,108,108,
108,54,54,54,108,108,108,30,30,60,36,36,36,36,36,36,72,36,36,60,60,72,72,24,
24,72,72,72,72,24,24,24,24,24,24,48,48,36,36,36,24,72,72,24,24,108,108,108,
156,108,108,108,108,108,36,36,36,24,72,72,24,24,84,12,12,60,60,120,72,72,72,
72,72,24,24,32,16,16,16,16,32,16,16,16,16,16,16,16,16,16,16,32,4,16,16,32,32,
64,16,16,32,48,48,32,32,32,48,32,1,7,21,3,6,9,18,18,28,13,3,18,1,9,18,27,54,2,
9,9,18,18,9,9,9,18,18,27,3,4,4,54,9,9,18,18,27,54,39,54,54,108,54,108,9,9,18,
18,18,18,18,18,27,54,54,108,27,54,9,9,18,18,18,18,18,18,3,3,6,6,21,27,54,54,
108,28,28,12,12,36,36,72,12,12,36,36,72,30,30,36,36,18,18,18,36,36,12,12,12,6,
36,30,12,12,18,18,12,12,60,60,36,36,36,36,36,36,12,12,18,24,24,24,24,24,24,24,
24,18,12,6,6,12,12,18,18,18,18,36,36,12,12,12,30,30,36,36,18,12,18,18,60,60,
18,6,12,54,54,54,18,6,12,54,108,108,108,108,6,12,6,12,18,6,6,12,6,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,36,36,12,12,12,12,12,12,12,12,12,12,4,4,16,
16,16,16,4,16,16,32,4,8,4,8,16,16,16,16,8,8,16,16,16,16,16,48,16,16,16,16,16,
32,1,9,18,3,18,7,3,9,6,3,9,6,18,9,9,18,1,2,3,6,9,9,9,18,18,3,6,9,9,9,18,18,18,
18,18,18,9,9,18,18,9,9,3,6,9,9,18,18,9,9,27,54,3,6,3,6,3,6,3,6,27,54,9,18,18,
18,6,6,12,6,6,12,18,18,6,6,6,6,6,6,12,6,6,6,6,30,36,6,6,6,12,6,18,18,6,6,6,6,
6,6,18,6,18,12,12,6,36,18,12,12,6,12,6,18,6,6,6,6,6,12,12,12,12,36,12,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,16,16,8,8,8,8,8,16,3,3,3,9,9,1,3,3,3,3,6,9,
9,18,18,3,3,9,3,3,3,3,9,3,9,3,6,9,3,6,3,3,6,3,3,9,3,3,3,3,9,6,6,6,6,6,6,6,6,6,
6,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,
4,4,4,3,1,1,1,1],[1,1,54,264,16,15,65,18,18,108,27,132,132,600,672,864,16,96,
96,160,19,57,28,84,2,6,24,24,33,24,150,168,168,192,336,216,216,216,65,99,18,
54,60,300,300,60,120,120,52,52,120,24,24,48,132,300,150,150,252,216,84,84,84,
168,168,168,168,336,144,336,144,144,144,16,48,48,80,48,80,384,48,3,21,24,42,
54,19,21,17,2,6,6,84,84,33,150,168,60,30,28,68,84,84,72,72,252,252,150,150,
300,252,252,24,24,36,36,72,48,48,72,72,15,30,54,15,12,18,36,54,42,63,75,54,
150,126,42,42,51,42,84,84,84,252,252,108,108,504,504,72,72,216,216,72,72,120,
120,240,120,120,72,72,240,240,240,52,52,120,108,108,120,120,120,120,120,48,48,
48,48,48,48,52,52,120,52,54,54,60,60,60,108,12,12,120,120,120,120,24,24,24,24,
24,30,60,84,84,84,108,108,120,120,120,120,120,48,48,48,48,48,48,12,8,48,80,16,
16,48,48,48,16,16,48,80,48,48,80,48,16,16,80,80,96,96,6,21,63,84,10,36,36,72,
84,252,126,126,252,24,24,24,48,72,17,6,18,75,63,12,18,252,252,18,21,126,27,54,
30,30,168,60,60,36,6,6,18,15,15,30,18,15,30,18,36,30,15,18,36,15,18,15,12,30,
15,30,18,18,30,30,30,42,24,24,84,36,72,72,15,30,18,36,28,28,60,60,120,52,60,
54,54,60,120,120,30,54,12,12,60,60,30,30,60,60,60,60,60,30,30,60,36,12,12,36,
12,12,24,24,24,24,18,18,12,12,12,12,36,30,30,36,36,18,60,60,24,24,24,24,30,30,
60,60,60,60,60,18,42,30,36,60,84,54,54,60,60,60,60,60,60,60,120,84,84,108,60,
120,120,24,24,120,120,120,120,24,24,24,24,24,24,48,48,60,60,84,24,120,120,24,
24,60,84,36,84,60,84,36,36,60,60,60,84,24,120,120,24,24,36,36,36,108,108,120,
120,120,120,120,72,24,24,12,20,24,24,12,12,24,20,8,20,20,24,32,16,16,16,48,16,
16,16,48,16,48,48,16,16,16,16,16,16,16,80,48,16,16,16,16,16,16,16,16,16,16,16,
16,16,48,16,1,21,63,1,2,9,6,6,84,21,7,30,3,3,6,9,18,6,9,9,18,6,9,15,15,30,30,
15,9,12,12,30,15,15,30,18,15,30,15,30,18,36,18,36,9,9,18,18,18,18,18,6,15,18,
30,36,15,18,15,15,30,18,30,30,30,30,9,9,6,6,9,9,18,18,36,12,12,28,28,60,60,
120,28,28,60,60,120,30,54,60,60,30,30,18,60,60,12,12,12,18,60,30,12,12,30,30,
36,36,60,60,60,60,60,60,60,60,36,36,18,24,24,24,24,24,24,24,24,18,12,18,18,12,
12,6,42,30,30,60,60,12,12,12,30,30,60,60,18,12,30,30,60,60,18,18,12,42,18,18,
18,6,12,18,36,60,60,60,6,12,6,12,6,18,6,12,18,12,12,12,12,36,36,36,36,12,12,
36,36,36,36,36,12,12,12,36,12,12,12,12,36,36,36,36,4,12,12,24,12,12,24,24,20,
20,24,4,4,4,4,20,20,24,24,24,24,24,12,20,12,12,12,24,24,20,24,16,16,24,16,24,
16,16,16,16,16,16,16,16,16,16,16,16,16,3,3,6,7,30,3,3,9,2,3,9,6,18,9,9,18,3,6,
3,6,3,9,9,18,18,9,6,9,9,9,18,18,18,18,18,6,15,15,30,30,9,9,9,6,15,15,30,30,9,
15,15,18,9,6,9,6,9,6,3,6,9,18,3,18,18,18,6,6,12,18,6,12,30,18,6,6,6,6,18,18,
36,18,18,6,6,30,60,6,6,6,12,6,6,6,6,6,6,18,18,18,18,18,18,12,12,18,60,30,12,
12,6,12,18,6,6,6,18,18,18,12,12,12,36,12,12,1,4,4,4,12,12,24,8,12,12,24,12,20,
24,24,4,4,4,4,4,12,4,4,4,4,4,4,4,4,4,4,4,4,12,4,4,4,4,12,12,4,8,8,16,1,1,1,9,
9,3,3,3,3,3,6,9,9,18,18,3,3,3,3,3,3,3,3,9,3,9,6,9,3,6,3,3,6,3,3,9,3,3,9,9,15,
6,6,6,6,6,6,18,6,6,18,1,3,3,4,2,2,12,4,4,4,4,4,4,4,4,4,4,4,4,4,8,3,1,3,3,3,3,
3,3,3,3,3,3,3,3,3,1,1,3,3,1,1,1,2,2,4,3,1,1,1,1,1,1,1,1],[1,1,10,120,40,20,70,
30,30,5,60,240,96,40,160,160,80,70,50,60,10,30,60,45,30,180,10,150,60,120,60,
90,60,10,120,120,96,40,80,80,40,80,40,320,80,15,15,10,60,10,60,20,90,45,90,30,
60,60,10,60,180,30,60,60,60,120,120,150,60,90,30,30,60,60,60,30,60,96,50,40,
80,40,80,40,40,40,40,40,40,80,80,1,15,10,30,45,15,45,15,10,30,30,90,60,90,30,
15,30,30,30,30,60,30,30,60,60,30,30,60,60,96,10,20,50,20,60,40,10,60,80,40,40,
40,40,40,40,40,5,45,15,45,15,10,30,30,15,15,30,30,30,30,30,10,10,20,60,10,10,
10,20,10,10,20,40,40,16,15,5,15,15,15,15,15,6,5,10,10,10,10,10,10,10,16,15,6,
5,5,5,10,6,5,1,1],[1,1,10,120,40,90,30,30,5,60,240,96,40,160,80,160,10,50,120,
10,30,60,45,30,180,30,10,180,120,60,30,60,60,10,120,120,96,120,120,40,80,320,
80,15,15,10,60,10,20,60,30,60,45,90,30,60,60,10,60,30,60,120,60,60,60,120,120,
30,180,30,60,30,30,60,60,60,30,60,96,50,40,80,40,120,40,40,40,40,120,80,1,15,
10,30,15,30,15,45,15,10,30,30,30,60,60,30,60,30,15,30,30,30,30,60,30,30,60,60,
30,30,60,60,96,10,20,10,60,60,40,20,10,40,80,40,40,40,40,40,40,40,5,15,30,15,
15,30,15,10,30,30,15,15,30,30,30,30,30,10,10,20,20,40,10,10,10,20,10,10,20,40,
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],[
1,1,30,120,160,1,75,30,30,60,15,60,60,120,160,96,160,160,160,20,20,80,15,30,
40,15,75,30,30,60,180,60,60,120,120,60,120,60,120,120,96,192,160,160,160,120,
160,15,15,60,15,30,40,30,20,60,20,20,120,60,120,60,15,15,20,60,30,60,15,30,45,
60,60,120,120,120,120,60,60,60,60,60,120,96,96,96,80,80,80,120,160,40,40,160,
6,30,10,20,30,15,15,60,30,30,15,15,15,15,20,15,60,60,30,60,60,60,60,60,30,30,
60,60,60,60,120,96,80,80,80,80,80,20,40,40,120,160,32,1,5,5,10,15,15,30,30,15,
30,30,15,30,30,30,30,30,30,30,10,20,20,80,40,16,16,32,15,15,15,30,6,10,20,10,
10,20,40,16,16,32,5,6,6,6,10,6,5,1],[1,1,30,120,40,1,75,30,30,60,15,60,60,120,
96,40,240,160,60,60,10,30,15,30,15,75,30,30,60,60,60,60,120,120,120,120,60,
120,60,60,60,120,120,96,192,80,40,120,80,120,15,25,10,15,30,60,30,20,60,40,40,
60,60,60,60,120,15,30,45,30,30,90,15,30,30,30,45,60,120,120,120,60,60,60,60,
60,60,120,96,96,96,50,40,80,40,40,40,120,120,40,40,80,6,10,15,10,15,30,10,30,
30,15,30,30,15,45,15,30,15,30,30,60,60,60,30,60,60,30,30,30,60,60,60,60,60,60,
60,120,96,10,30,40,40,20,70,40,20,40,40,40,40,40,40,40,1,5,30,15,30,30,15,30,
30,30,15,30,30,30,30,30,30,10,10,20,10,10,20,30,10,30,40,40,40,16,5,10,15,30,
15,6,5,10,10,10,10,10,10,10,16,5,6,6,6,5,10,10,6,5,1,1],[1,1,90,21,40,60,90,
45,36,21,40,60,360,30,120,120,120,15,15,135,135,45,135,135,30,60,40,36,135,
180,225,15,60,120,180,36,45,45,135,135,45,135,135,30,60,40,40,120,120,120,120,
36,15,30,15,30,180,15,15,225,45,45,45,45,10,36,135,30,180,180,60,60,120,20,
108,45,15,45,15,90,45,45,90,15,15,45,45,45,45,45,10,40,36,90,10,30,15,15,60,
45,45,45,30,20,6,6,36,30,15,15,15,15,15,15,10,10,10,18,18,15,15,6,6,10,1,6,6,
3,1,1],[1,1,270,21,40,60,3,45,135,36,21,40,60,450,360,360,540,540,15,15,135,
45,135,135,135,30,60,40,36,216,1,60,60,60,45,60,225,360,540,36,45,45,135,135,
45,135,135,30,60,40,90,180,90,180,120,120,36,108,108,15,30,15,30,15,15,45,45,
45,45,45,180,180,10,36,72,135,10,20,60,20,60,90,180,120,30,108,45,45,15,15,45,
45,90,90,15,15,45,45,45,45,45,10,10,10,36,36,36,10,30,15,15,30,60,60,45,45,45,
10,10,10,6,6,36,15,15,15,15,15,15,30,10,10,10,18,18,15,15,6,6,10,1,6,6,3,1,
1],[1,1,30,21,40,60,15,45,15,36,21,40,60,120,30,120,120,40,15,45,15,45,45,45,
45,30,60,40,36,20,60,60,75,45,120,20,15,120,60,36,15,15,45,45,45,45,45,30,60,
40,120,40,40,40,40,36,15,30,15,30,60,15,15,45,60,45,45,45,45,10,36,45,10,40,
60,40,60,20,20,40,60,60,36,15,30,15,15,15,30,15,15,15,15,45,45,45,45,45,10,40,
36,10,10,10,15,15,60,60,15,15,45,20,10,20,6,6,36,10,15,15,15,15,15,15,10,10,
10,6,6,15,15,6,6,10,1,6,6,1,1,1],[1,1,38,168,16,32,64,15,57,6,6,36,19,84,84,
504,672,288,16,32,64,32,32,32,128,384,32,96,19,57,12,84,2,6,24,24,21,24,126,
168,168,192,336,72,72,72,57,63,6,18,36,252,252,36,72,72,36,36,72,84,252,126,
126,252,72,36,36,36,72,72,72,72,144,144,64,16,48,48,48,192,96,96,16,48,16,32,
64,192,48,96,3,21,24,42,18,19,21,3,2,6,6,84,84,21,126,168,36,18,12,12,84,84,
24,24,252,252,126,126,252,252,252,24,24,36,36,72,48,48,72,72,9,18,18,9,18,18,
18,63,63,18,126,126,18,18,9,18,36,36,36,252,252,36,36,504,504,72,72,72,72,144,
72,72,144,144,144,36,36,72,36,36,72,72,72,72,72,36,36,72,36,18,18,36,36,36,36,
72,72,72,72,18,36,36,36,36,36,36,72,72,72,72,72,64,128,128,12,8,8,16,48,24,8,
32,96,16,48,16,48,32,96,48,48,48,48,48,96,96,96,192,192,48,96,192,48,48,96,21,
63,84,12,12,24,84,252,126,126,252,24,24,24,48,72,3,6,6,63,63,12,18,252,252,18,
21,126,9,18,18,18,168,36,36,6,6,6,9,9,18,9,18,18,36,18,9,18,36,9,18,9,18,9,18,
18,18,18,18,36,9,18,18,36,36,36,72,36,36,18,18,36,72,72,18,18,36,36,18,18,36,
36,36,36,36,18,18,36,18,18,36,36,18,18,36,36,36,36,36,18,18,18,36,36,36,18,18,
36,36,36,36,36,36,36,72,36,36,72,72,72,72,72,72,36,36,72,72,36,36,36,36,36,36,
36,36,36,36,36,72,72,36,36,72,72,72,72,72,64,64,64,12,12,24,24,24,24,48,48,48,
48,12,12,24,8,8,12,16,48,8,24,32,48,48,96,12,12,24,16,48,16,32,16,48,48,48,96,
96,48,48,48,96,21,63,1,2,3,6,6,84,21,18,3,6,9,18,9,9,18,9,9,18,18,9,18,9,9,18,
9,18,9,18,18,36,18,36,9,9,18,18,18,18,18,9,18,18,36,9,18,9,9,18,18,18,18,18,9,
18,18,36,36,36,72,36,36,72,18,18,36,36,18,18,36,36,36,18,18,18,36,36,36,36,36,
36,36,36,18,18,36,36,18,18,36,36,18,18,36,36,18,18,18,18,36,36,36,36,16,32,64,
12,12,24,24,24,48,12,24,12,12,24,24,12,12,24,12,12,24,24,24,24,24,48,48,12,12,
24,24,12,24,24,48,16,24,24,24,48,96,3,3,6,18,3,9,3,9,6,18,9,9,18,9,9,18,18,9,
9,18,18,18,18,18,9,9,18,18,9,9,18,18,9,9,18,9,18,18,18,18,18,18,36,36,18,16,
16,16,32,1,2,4,8,12,12,12,24,8,8,8,12,12,24,12,12,24,24,12,24,12,24,12,12,24,
1,9,9,9,9,18,18,9,9,16,1,3,3,6,12,12,12,12,24,3,4,8,1,1,2,3,3,4,1,3,1,1],[1,1,
38,360,16,32,64,3,21,42,42,108,19,84,180,504,96,864,16,32,64,32,32,32,128,192,
192,384,384,384,192,192,1,3,12,12,2,6,24,24,21,24,126,72,24,48,216,216,216,21,
27,42,54,108,36,36,108,72,72,36,36,72,72,72,144,36,108,90,90,36,216,180,180,
36,216,216,72,72,432,432,432,432,432,432,64,48,48,96,96,96,96,192,384,192,192,
192,384,384,384,384,16,32,64,48,96,3,9,6,54,1,3,3,2,6,6,9,18,36,54,12,12,24,
24,18,18,36,36,36,24,24,36,36,72,48,48,72,72,27,18,18,27,36,18,108,54,18,9,45,
54,54,54,18,90,9,18,108,108,108,108,108,72,72,216,216,72,72,216,216,216,216,
144,216,216,216,216,144,144,144,72,72,72,72,72,72,144,144,144,144,144,144,36,
18,18,36,36,36,36,36,36,72,72,72,72,72,18,36,36,36,36,72,72,72,72,72,72,144,
144,144,144,144,144,64,128,64,64,128,12,8,8,16,48,24,8,32,96,16,48,32,96,48,
96,48,96,96,192,48,96,96,192,48,96,48,48,96,96,48,48,96,96,192,192,12,12,24,
12,36,24,24,24,48,72,3,6,6,9,9,12,18,18,9,18,27,18,54,54,36,36,108,6,6,6,9,18,
18,36,18,9,18,36,9,18,27,36,18,9,54,54,54,18,54,18,18,72,72,108,108,216,216,9,
18,18,36,18,18,36,36,18,18,36,18,18,36,36,36,36,36,36,36,72,72,72,72,18,18,36,
36,36,36,36,36,36,36,36,72,72,72,72,18,18,36,36,36,36,36,18,18,18,36,36,36,36,
36,36,36,36,36,72,36,36,72,72,72,72,72,72,72,72,72,144,144,36,36,36,72,72,72,
36,36,36,36,36,36,36,36,36,36,36,36,72,72,72,72,72,72,64,64,128,128,64,12,12,
24,24,24,24,48,48,8,8,12,16,48,8,24,32,96,24,24,48,48,48,48,48,48,96,96,96,96,
96,96,96,16,32,48,96,48,96,48,96,48,48,48,48,96,96,96,96,48,96,48,96,1,2,3,6,
6,3,9,3,6,9,18,27,27,36,36,18,9,18,9,18,18,36,18,36,9,18,18,36,9,18,9,9,18,18,
9,18,18,36,18,18,18,36,36,36,18,18,36,36,36,36,36,36,36,36,36,36,72,72,72,72,
72,72,72,72,18,36,18,18,36,36,18,18,18,36,36,36,18,36,18,36,18,18,18,18,36,18,
36,36,36,36,18,36,18,36,18,36,18,36,36,36,36,36,36,36,36,36,36,36,36,36,16,32,
64,12,12,24,24,24,48,12,24,12,12,24,24,24,12,12,24,24,48,12,24,24,48,24,48,48,
48,48,48,48,96,96,24,24,24,48,48,96,3,6,9,9,18,9,18,9,18,9,18,9,18,9,18,9,18,
9,18,9,18,18,36,18,36,18,18,18,18,18,18,36,36,18,18,36,36,18,36,36,36,36,16,
32,16,16,32,32,1,2,4,8,8,8,8,12,12,24,24,12,24,12,12,12,12,24,24,24,24,12,24,
12,24,12,24,12,24,24,24,24,24,24,24,1,9,18,9,18,9,18,9,18,9,9,16,32,3,6,6,12,
12,24,12,12,24,12,24,24,24,24,9,4,8,1,1,2,3,6,3,6,4,8,3,6,3,1,1],[1,1,86,72,
16,32,64,3,45,6,6,180,43,228,36,216,96,288,16,32,64,32,224,32,128,128,1,3,60,
12,2,6,24,24,57,24,54,72,24,48,72,72,72,45,135,6,90,36,36,36,36,72,72,12,12,
72,36,108,18,18,36,72,36,36,180,72,72,360,72,144,432,64,64,48,144,96,96,64,
112,32,64,48,96,3,9,6,18,1,3,45,2,6,6,45,18,36,18,60,180,24,24,18,18,36,36,36,
24,24,36,36,72,48,48,72,72,9,54,54,9,18,18,18,9,9,18,54,54,18,18,135,90,108,
36,36,36,36,72,72,72,72,72,72,144,72,72,144,144,144,12,12,72,36,36,72,12,12,
72,12,18,18,36,36,36,36,54,36,108,36,108,36,36,72,64,128,128,12,8,8,16,48,24,
8,32,96,64,16,48,48,32,96,48,48,48,96,96,192,144,96,144,96,18,30,12,12,24,12,
36,24,24,24,48,72,45,6,6,9,9,12,18,18,9,18,9,18,18,18,36,36,6,6,6,18,9,18,18,
36,54,9,18,36,9,18,9,18,9,18,54,18,18,18,36,27,18,18,36,12,12,12,36,18,18,36,
18,18,36,36,36,36,36,36,18,36,36,54,54,36,36,36,36,36,18,18,18,36,36,36,18,18,
36,36,36,36,36,36,36,36,36,108,36,36,36,36,36,36,108,36,36,72,72,64,64,64,12,
36,24,24,24,24,48,48,16,48,8,8,36,16,48,8,24,32,96,16,48,16,32,48,48,96,48,48,
48,48,48,48,48,3,1,2,3,6,6,3,3,3,6,9,18,18,9,9,18,18,9,18,27,18,18,36,18,36,
18,9,18,18,36,9,18,18,27,9,18,18,36,36,36,12,12,12,12,18,18,18,18,36,36,18,18,
18,18,18,18,18,36,36,18,18,18,18,18,18,36,36,36,36,18,36,36,16,32,64,12,12,12,
24,24,24,48,12,24,16,48,12,12,36,36,24,24,48,24,24,24,48,48,3,6,3,9,6,9,9,18,
9,9,9,9,18,9,18,9,18,18,18,18,18,18,18,36,16,32,16,16,1,2,4,8,12,8,8,8,12,12,
12,24,12,24,12,12,12,12,24,12,12,1,3,3,9,9,9,9,16,4,3,6,6,12,12,12,3,4,8,1,1,
2,3,3,4,1,3,1,1],[1,1,78,264,8,32,13,63,18,18,180,39,204,132,360,288,1152,8,
32,48,192,192,48,144,64,64,96,96,6,54,20,72,72,72,51,48,90,48,72,288,288,288,
27,63,18,90,108,180,252,108,72,72,96,24,144,72,72,96,216,108,72,144,216,132,
144,144,360,72,144,144,432,144,144,144,16,8,56,96,56,72,32,24,72,32,32,96,192,
192,192,192,192,24,96,96,24,6,6,72,6,9,15,18,18,36,72,15,54,72,36,54,20,60,36,
36,48,48,144,72,36,72,144,72,108,72,72,72,72,27,54,36,9,36,18,36,9,18,54,72,
54,18,63,90,108,36,72,72,36,72,72,72,144,72,72,216,216,72,72,144,144,72,72,
144,144,96,24,144,72,72,72,144,72,144,72,144,144,144,144,24,24,72,24,36,72,72,
36,36,72,36,36,144,72,72,144,72,72,72,72,72,72,144,72,144,144,72,144,144,72,
144,144,144,144,16,16,16,64,64,2,16,24,72,96,96,24,8,72,56,72,24,24,24,72,24,
72,32,24,48,48,72,24,96,24,24,24,24,48,48,72,72,144,96,48,96,96,6,9,9,36,10,
24,24,48,36,18,36,15,18,12,18,9,18,36,72,6,18,54,36,36,36,9,27,18,18,9,18,18,
36,36,27,54,72,9,18,9,9,18,18,18,54,18,36,18,18,36,36,24,24,36,36,72,24,36,36,
36,36,72,72,18,36,36,36,72,54,18,36,36,36,18,18,36,36,18,18,36,36,18,36,36,18,
36,72,36,72,36,36,36,36,36,36,72,36,72,72,36,36,72,36,36,72,72,72,72,36,72,72,
72,72,144,144,72,72,72,72,144,144,36,36,72,72,72,144,72,36,72,36,36,72,72,36,
36,72,72,144,72,72,72,36,36,72,72,72,72,72,72,72,16,32,32,32,32,16,16,64,64,2,
6,12,12,16,2,2,12,48,6,6,6,12,48,8,8,24,72,24,8,24,72,24,24,24,24,24,96,24,24,
48,24,24,48,48,48,24,24,24,24,24,24,24,72,72,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,1,9,6,6,18,9,9,18,18,9,9,18,9,9,9,18,18,18,36,36,27,9,18,18,18,
9,18,9,27,18,18,18,18,9,18,18,18,36,24,24,24,24,36,36,72,24,24,36,36,72,18,36,
36,36,18,18,18,18,36,36,36,36,36,36,18,18,18,36,36,18,36,18,18,72,36,36,36,36,
18,18,18,36,18,36,18,36,18,36,18,18,18,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,16,16,16,16,16,16,8,16,32,32,32,32,2,6,6,12,2,2,6,12,12,6,6,12,6,6,6,6,
6,6,12,12,12,12,12,48,6,6,6,6,6,12,12,6,12,24,8,12,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,6,18,6,9,9,9,9,9,18,9,18,18,9,9,18,9,18,9,9,
18,18,18,18,18,36,18,18,18,18,18,36,18,18,18,18,18,18,18,18,18,18,36,36,16,16,
16,16,8,8,8,8,8,8,8,16,16,16,2,2,2,2,2,2,6,6,12,6,6,12,6,6,6,6,12,12,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,24,24,9,9,9,9,9,9,9,18,18,18,
18,1,8,8,8,8,8,8,8,16,2,2,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,9,1,1,1,2,2,
2,2,8,6,6,1,1,1,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,35,140,105,126,35,140,
120,35,105,315,70,126,210,420,105,120,315,70,126,120,35,105,70,35,105,105,70,
126,120,105,105,210,105,70,35,21,42,35,21,30,7,1],[1,63,28,336,63,189,63,252,
336,288,63,189,378,189,112,252,252,63,63,189,336,288,63,252,252,28,189,63,63,
28,63,63,28,36,28,1],[1,1,110,200,160,1,75,30,30,300,55,300,100,360,160,960,
96,160,320,320,320,320,160,160,20,20,80,120,120,75,80,90,80,40,240,240,240,15,
75,30,150,180,180,60,180,120,120,120,240,240,40,240,60,120,120,180,240,240,
600,120,240,720,96,192,160,160,160,160,160,320,320,320,320,160,160,120,160,10,
10,60,15,15,30,30,60,15,30,40,60,90,20,60,20,20,120,60,120,60,120,120,120,120,
45,90,60,15,20,60,60,30,60,15,30,60,90,30,75,150,180,60,120,60,120,120,120,
240,240,240,240,120,240,120,120,120,120,60,120,60,60,120,120,120,120,120,120,
120,120,120,240,120,240,120,120,96,96,96,80,80,80,160,160,160,120,80,160,80,
160,40,40,240,240,160,160,160,6,30,10,20,30,15,30,15,30,60,10,30,60,60,30,60,
30,15,30,30,60,60,45,90,120,15,30,15,20,15,30,90,30,30,30,60,60,60,60,30,60,
60,60,60,60,120,60,60,60,120,120,120,120,60,60,60,30,30,60,120,60,120,60,60,
60,60,60,60,60,120,60,60,60,120,120,120,60,120,60,60,120,120,120,120,120,96,
96,96,80,80,80,80,80,80,80,80,80,20,40,40,160,40,40,80,120,120,80,80,80,120,
160,32,1,5,5,15,15,30,10,15,15,15,15,30,30,30,30,30,60,60,30,60,30,30,15,30,
30,60,30,30,30,15,30,30,30,60,40,40,30,30,30,60,60,30,60,60,30,30,60,60,30,30,
30,60,30,60,30,30,60,60,60,96,10,20,20,80,40,40,80,80,40,120,40,40,40,40,40,
16,16,32,10,30,30,15,30,30,15,15,30,15,30,15,30,15,15,30,30,30,30,30,30,30,60,
60,6,10,10,10,20,10,20,10,20,10,10,20,20,20,40,40,16,16,16,16,16,16,32,5,15,
15,15,15,15,15,6,6,6,10,10,10,10,20,10,10,10,20,16,16,15,6,6,6,5,10,6,5,1,1],[
1,1,30,360,40,21,95,30,30,60,15,60,180,360,480,960,96,40,240,240,400,10,90,60,
120,10,30,15,90,120,240,240,240,35,75,30,30,60,300,420,60,120,120,40,160,240,
240,120,240,180,120,240,360,60,60,60,120,120,240,240,240,240,96,192,40,120,
120,200,120,200,960,120,60,10,15,25,10,60,120,15,90,120,60,30,20,60,60,60,120,
120,240,120,60,120,240,120,180,60,60,120,15,30,45,30,30,90,15,30,90,60,30,30,
45,60,120,60,120,120,120,240,120,120,240,240,120,120,120,120,40,40,120,240,
120,240,240,120,120,240,240,240,40,160,240,40,120,60,120,60,60,120,120,240,
240,120,120,120,120,60,60,60,120,120,120,240,120,240,120,240,240,96,96,96,50,
40,120,200,40,40,120,120,120,40,40,120,200,120,120,200,120,40,40,200,200,240,
240,6,15,15,60,10,40,40,80,60,30,60,15,30,30,15,60,120,30,30,60,60,10,30,45,
15,30,30,15,30,30,15,45,15,30,15,30,30,30,60,30,60,40,40,60,60,120,40,60,120,
60,120,240,120,30,60,60,120,60,30,30,60,60,90,30,60,60,60,30,30,60,60,30,60,
60,30,60,30,30,60,60,60,60,60,60,120,60,120,60,60,120,120,120,120,60,120,240,
120,120,120,120,120,120,120,120,60,60,120,120,120,120,60,60,60,60,60,120,120,
120,120,60,60,120,120,120,240,120,240,120,120,120,96,96,96,10,30,60,60,10,50,
60,70,40,30,70,60,160,40,40,40,120,40,40,40,120,40,120,120,40,40,40,40,40,40,
40,200,120,40,40,40,40,40,40,40,40,40,40,40,40,40,120,40,1,15,5,10,10,30,15,
45,30,30,15,15,30,15,45,15,30,30,30,30,30,30,15,30,30,15,15,30,30,30,15,30,15,
30,40,40,60,60,120,40,40,60,60,120,30,60,120,60,30,30,60,30,30,60,60,60,60,60,
30,30,30,60,30,30,60,60,60,60,30,60,30,30,30,30,30,30,30,60,60,60,60,60,60,60,
60,60,60,60,60,60,60,60,60,60,60,96,10,10,10,20,10,10,20,60,70,30,60,10,10,10,
10,30,30,20,60,20,20,60,30,30,10,30,30,60,20,30,60,40,40,60,80,40,40,40,40,40,
40,40,40,40,40,40,40,40,40,16,5,10,30,15,15,10,15,15,30,15,15,30,30,30,15,30,
15,30,15,15,30,30,30,30,30,30,30,60,30,30,30,30,30,30,30,30,30,30,60,60,6,5,
10,10,10,10,10,20,10,10,20,10,30,20,60,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,30,10,10,10,10,30,30,10,40,40,16,16,16,5,15,15,15,15,15,15,30,
30,30,30,6,6,6,5,5,5,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,16,15,
6,6,6,5,5,5,10,10,10,6,5,1,1,1,1,1],[1,1,30,360,21,40,60,18,90,15,180,1080,36,
21,40,60,120,30,120,120,360,30,450,40,480,480,120,540,540,15,90,15,135,270,45,
135,405,45,45,270,45,135,135,135,270,45,30,60,40,36,216,21,135,180,135,225,
180,15,225,20,60,480,360,540,360,360,360,720,360,360,360,15,120,60,180,36,15,
45,135,15,45,45,45,135,135,135,135,135,135,45,45,135,135,270,270,135,135,45,
45,135,45,135,135,135,135,135,135,135,135,30,60,40,120,90,180,90,180,120,120,
40,40,40,40,40,120,120,120,120,36,108,108,15,30,15,30,15,45,60,180,15,15,225,
135,225,45,45,45,45,45,45,60,45,45,180,45,45,225,45,450,540,90,180,180,360,10,
36,72,45,45,135,45,135,135,135,135,135,135,135,135,135,135,135,30,60,180,60,
180,20,20,40,60,60,120,20,90,180,120,120,120,90,60,120,120,120,120,120,120,
120,120,36,108,108,15,45,45,30,45,15,15,45,15,90,30,15,45,45,15,45,45,90,180,
15,15,15,45,15,15,15,225,45,45,45,180,45,45,45,45,45,45,45,45,45,45,45,45,45,
45,45,45,45,45,45,45,45,45,45,45,10,10,10,40,40,36,36,36,135,30,90,10,30,10,
30,15,15,20,60,90,60,60,120,180,180,180,60,60,60,60,108,45,15,45,45,15,45,45,
45,45,45,90,45,45,15,15,45,45,90,45,45,45,45,45,45,45,45,45,45,45,45,45,10,30,
30,20,20,40,40,6,6,36,36,36,10,30,30,30,15,15,15,15,15,15,15,15,15,15,15,15,
15,15,90,30,30,60,45,45,45,10,10,30,30,10,10,10,20,20,6,18,6,18,18,18,36,15,
15,15,15,15,15,15,15,15,15,15,15,15,15,30,6,6,10,10,10,10,10,10,10,18,18,15,
15,1,6,6,6,6,6,6,10,1,3,3,6,6,1,3,1,1,1,1],[1,1,86,456,16,32,64,15,81,42,42,
252,43,228,228,792,672,2016,16,32,64,32,224,32,128,384,224,288,128,384,384,
384,192,192,19,57,60,84,2,6,24,24,57,24,198,168,168,192,336,504,504,504,81,
171,42,126,108,396,396,108,216,216,84,84,216,72,72,144,228,396,198,198,252,
504,180,180,180,360,360,360,360,720,432,720,432,432,432,64,16,48,64,48,144,
192,96,96,112,144,64,192,384,192,192,192,384,384,384,384,1152,384,112,32,64,
192,48,96,3,21,24,42,126,19,21,45,2,6,6,84,84,57,198,168,108,54,60,180,84,84,
168,168,252,252,198,198,396,252,252,24,24,36,36,72,48,48,72,72,27,54,126,27,
36,18,108,126,90,63,99,126,198,126,90,90,135,90,180,180,180,252,252,252,252,
504,504,216,216,504,504,216,216,216,216,432,216,216,216,216,432,432,432,84,84,
216,252,252,216,216,216,216,216,144,144,144,144,144,144,84,84,216,84,126,126,
108,108,108,252,36,36,216,216,216,216,72,72,72,72,72,54,108,180,180,180,252,
252,216,216,216,216,216,144,144,144,144,144,144,64,128,64,64,128,128,128,12,8,
8,16,48,24,8,32,96,112,144,64,192,16,48,48,32,96,48,48,48,48,144,144,144,48,
192,96,96,192,48,96,96,96,192,192,144,96,144,192,48,48,96,96,48,48,96,96,144,
144,96,192,288,192,192,192,18,21,63,84,30,84,84,168,84,252,126,126,252,24,24,
24,48,72,45,6,42,99,63,12,18,252,252,18,21,126,63,126,54,54,168,108,108,108,6,
6,42,27,27,54,54,27,54,18,36,54,27,18,36,27,18,27,36,54,27,54,54,54,54,54,54,
90,72,72,180,108,216,216,27,54,18,36,84,84,108,108,216,84,108,126,126,108,216,
216,54,126,36,36,108,108,54,54,108,108,108,108,108,54,54,108,108,36,36,108,36,
36,72,72,72,72,54,54,36,36,36,36,108,54,54,108,108,54,108,108,72,72,72,72,54,
54,108,108,108,108,108,18,90,54,36,108,180,126,126,108,108,108,108,108,108,
108,216,252,252,252,108,216,216,72,72,216,216,216,216,72,72,72,72,72,72,144,
144,108,108,252,72,216,216,72,72,108,180,36,180,108,180,36,36,108,108,108,252,
72,216,216,72,72,108,108,108,252,252,216,216,216,216,216,216,72,72,64,64,64,
64,64,64,128,128,64,128,128,12,36,24,24,24,24,48,48,48,48,12,12,24,16,48,8,8,
36,16,48,8,24,32,48,48,96,36,36,24,16,48,48,48,48,48,48,48,96,96,96,96,96,96,
96,48,48,16,48,16,32,48,16,48,48,48,96,96,48,144,144,192,48,48,96,48,48,96,96,
96,48,48,48,48,48,48,48,144,48,48,48,48,48,48,96,96,96,96,48,96,48,48,48,48,
96,48,48,48,48,144,96,48,3,21,63,1,2,21,6,6,84,21,21,54,9,3,6,9,18,18,9,9,18,
18,27,27,27,54,54,27,27,36,36,54,27,27,54,54,27,54,27,54,18,36,18,36,9,9,18,
18,18,18,18,18,27,18,54,36,27,18,27,27,54,54,54,54,54,54,27,27,18,18,27,9,18,
18,36,36,36,84,84,108,108,216,84,84,108,108,216,54,126,108,108,54,54,54,108,
108,36,36,36,54,108,54,36,36,54,54,108,108,108,108,108,108,108,108,108,108,
108,108,54,72,72,72,72,72,72,72,72,54,36,54,54,36,36,18,126,54,54,108,108,36,
36,36,54,54,108,108,54,36,54,54,108,108,54,54,36,90,18,18,54,18,36,18,36,108,
108,108,18,36,18,36,18,54,18,36,54,36,36,36,36,108,108,108,108,36,36,108,108,
108,108,108,36,36,36,108,36,36,36,36,108,108,108,108,16,32,64,64,64,64,64,64,
64,12,12,12,24,24,24,48,12,24,12,12,24,24,36,36,24,16,48,48,48,12,12,24,24,12,
12,36,36,24,24,24,24,24,48,48,36,48,48,36,12,36,36,24,24,24,24,48,48,48,36,24,
24,48,16,48,72,48,48,48,48,48,48,48,48,96,96,24,24,24,48,48,48,48,48,48,48,48,
48,48,48,48,48,48,48,48,48,96,48,48,48,96,3,3,6,21,54,9,3,9,6,3,9,6,18,9,9,18,
9,18,9,18,9,9,9,18,18,27,18,27,9,9,18,18,18,18,18,18,27,27,54,54,27,27,27,18,
27,27,54,54,27,27,27,18,27,18,27,18,27,18,9,18,9,18,9,18,18,18,18,18,36,54,18,
36,54,54,18,18,18,18,54,54,108,54,54,18,18,54,108,18,18,18,36,18,18,18,18,18,
18,54,54,54,54,54,54,36,36,54,108,54,36,36,18,36,54,18,18,18,54,54,54,36,36,
36,108,36,36,16,16,16,32,16,16,16,32,32,16,64,1,2,4,8,12,12,12,12,12,12,24,8,
8,8,12,12,24,12,12,12,12,24,24,12,36,24,24,12,24,12,12,12,12,12,24,24,24,24,
12,24,12,12,12,12,12,12,12,12,12,24,12,12,12,12,12,24,36,24,12,12,12,12,36,36,
48,48,12,24,24,24,24,24,24,48,48,1,3,3,9,9,9,9,9,9,9,18,9,9,18,18,9,9,9,9,9,9,
9,9,27,9,27,18,9,9,18,9,9,18,9,9,27,9,9,27,27,27,18,18,18,18,18,18,54,18,18,
54,16,16,32,16,16,16,16,16,1,3,4,3,6,12,6,12,12,24,6,12,12,12,12,12,12,12,12,
12,12,12,24,12,12,12,12,12,12,12,24,12,12,12,24,12,12,12,12,24,24,24,9,3,3,9,
9,9,9,9,9,9,9,9,9,9,9,4,8,16,1,1,2,3,6,3,3,3,6,3,3,6,6,12,12,12,12,9,4,4,4,8,
1,1,3,3,3,3,6,3,3,3,3,1,4,3,3,1,1,1,1],[1,1,210,35,140,21,105,105,126,35,140,
840,210,280,120,105,35,105,315,105,315,315,70,126,252,35,210,420,210,105,105,
140,420,120,120,120,105,105,315,315,105,315,315,70,280,126,126,126,120,35,105,
70,420,35,105,210,105,105,105,105,105,210,120,315,70,140,140,126,126,126,120,
120,120,105,35,105,105,210,105,105,35,105,105,105,105,105,105,70,70,70,35,126,
120,105,105,105,21,42,70,35,35,35,21,21,42,21,35,30,21,7,7,1,1],[1,63,252,28,
336,189,189,63,378,756,252,1008,336,336,1008,288,63,63,63,189,189,378,378,378,
189,378,189,378,378,378,112,756,504,1008,252,288,63,189,126,63,189,189,378,
378,378,189,189,378,378,112,336,336,288,63,252,252,252,252,252,252,28,63,63,
189,189,189,189,189,336,288,63,126,126,63,252,252,28,112,189,63,63,63,63,63,
63,84,56,36,63,63,28,28,28,36,28,1,1],[1,63,252,28,336,126,63,189,63,378,756,
252,1008,336,336,1008,288,63,63,63,189,189,378,378,378,189,378,189,378,378,
378,112,252,504,504,1008,252,288,63,189,126,63,189,189,378,378,378,189,189,
378,378,112,336,336,288,63,252,252,252,252,252,252,28,63,63,189,189,189,189,
189,336,288,63,126,126,63,252,252,28,112,189,63,63,63,63,63,63,56,28,56,36,63,
63,28,28,28,36,28,1,1],[1,1,126,28,336,63,63,378,63,252,28,336,252,252,672,
288,252,63,63,189,378,378,756,756,112,252,252,336,252,252,288,63,189,252,252,
63,189,189,378,378,378,112,336,336,288,63,252,252,252,252,504,28,63,63,189,
378,378,336,288,63,63,63,63,252,252,28,28,28,189,63,63,63,126,63,28,28,28,36,
63,63,28,28,28,36,28,1,1],[1,1,182,392,448,7,105,42,42,924,91,644,196,1176,
672,2016,448,896,896,896,896,448,448,512,7,21,140,84,14,42,168,168,161,120,
294,392,168,64,336,504,504,504,105,315,42,462,252,252,252,252,504,504,84,84,
504,168,168,336,196,588,126,126,252,504,252,252,420,504,504,1848,504,1008,336,
2352,336,336,336,448,448,448,448,448,896,896,896,896,448,448,560,672,512,15,
49,8,42,126,7,21,105,14,42,42,28,28,105,126,56,252,126,140,420,28,28,168,168,
84,84,126,126,252,252,252,168,168,252,252,504,336,336,504,504,63,294,294,63,
28,126,84,126,126,63,63,126,294,294,126,126,315,462,588,252,252,84,84,252,252,
504,504,168,168,504,504,168,168,504,504,1008,504,504,168,168,1008,1008,1008,
84,84,504,252,252,504,168,168,168,168,336,336,336,336,336,336,84,84,504,84,
126,126,252,252,252,252,84,84,168,168,168,168,168,168,168,168,168,294,252,588,
252,588,252,252,504,168,168,168,168,336,336,336,336,336,336,512,112,336,224,
224,672,448,448,448,560,672,672,224,448,1344,448,112,112,1120,672,448,448,448,
42,7,21,28,70,84,84,168,84,252,42,42,84,168,168,168,336,504,105,42,42,63,63,
84,126,84,84,126,49,126,63,126,126,126,56,252,252,84,42,42,42,21,21,42,126,63,
126,126,252,294,63,126,252,63,126,63,28,126,63,126,42,42,294,126,126,126,56,
56,252,84,168,168,147,126,126,252,84,84,84,84,168,84,252,126,126,252,168,168,
126,126,84,84,84,84,42,42,252,252,252,84,252,42,42,84,252,84,84,252,84,84,168,
168,168,168,42,42,84,84,84,84,84,42,42,84,84,126,252,252,168,168,168,168,294,
294,252,252,252,252,252,126,126,126,252,252,252,126,126,252,84,84,84,84,84,84,
168,252,252,252,252,168,168,168,168,168,168,168,168,168,168,168,168,168,168,
336,336,84,84,252,168,168,168,168,168,252,252,252,588,252,252,252,252,252,84,
84,252,168,168,168,168,168,588,84,84,252,252,504,168,168,168,168,504,168,168,
512,224,112,112,112,336,224,112,336,224,112,112,672,112,336,112,112,112,112,
224,224,224,224,224,28,336,112,224,672,448,336,112,224,336,560,224,224,224,
336,224,64,64,7,7,21,7,14,21,42,42,28,21,21,42,7,21,42,63,126,14,21,21,42,126,
63,21,21,42,42,63,21,28,28,126,21,21,42,126,63,126,147,126,126,252,126,252,21,
21,42,42,42,42,42,126,63,126,126,252,63,126,21,21,42,126,42,42,42,42,21,21,42,
42,147,63,126,126,252,196,196,84,84,84,84,168,84,84,84,84,168,126,126,84,84,
42,42,126,84,84,84,84,84,42,84,126,84,84,42,42,84,84,252,252,84,84,84,84,84,
84,84,84,126,168,168,168,168,168,168,168,168,126,84,42,42,84,84,126,126,42,42,
84,84,84,84,84,126,126,84,84,126,84,42,42,252,252,126,42,84,126,126,126,126,
42,84,126,252,252,252,252,42,84,42,84,126,42,42,84,42,84,84,84,84,84,84,84,84,
84,84,84,84,84,84,84,252,252,84,84,84,84,84,84,84,84,84,84,28,84,168,112,336,
112,112,28,112,112,224,28,56,28,56,112,112,112,112,56,56,112,112,112,112,224,
224,112,336,112,336,112,112,112,224,64,64,1,21,42,21,42,49,7,21,42,7,21,14,42,
21,21,42,7,14,21,42,63,21,21,42,42,21,42,63,21,21,42,42,42,42,42,126,21,21,42,
42,63,63,21,42,21,21,42,42,63,21,63,126,21,42,21,42,21,42,21,42,63,126,63,42,
42,42,42,42,84,42,42,84,42,126,42,42,42,42,42,42,84,42,42,42,42,126,84,42,42,
42,84,42,126,126,42,42,42,42,42,42,126,42,126,84,84,42,84,42,84,84,42,84,42,
126,42,42,42,42,42,84,84,84,84,252,84,64,64,64,28,56,28,28,28,28,28,84,28,28,
28,28,84,56,56,84,168,28,28,28,28,28,84,28,168,28,28,28,112,112,56,56,56,56,
56,112,7,21,21,21,21,7,21,21,21,21,42,21,21,42,42,21,21,63,21,21,21,21,63,21,
63,21,42,21,21,42,21,21,42,21,21,63,21,21,21,21,21,42,42,42,42,42,42,42,42,42,
42,64,64,64,64,28,28,28,56,28,28,28,84,28,56,28,28,28,28,56,28,28,28,28,28,28,
28,28,28,84,28,28,28,28,28,56,7,21,7,21,21,21,21,21,21,21,21,21,21,21,21,7,7,
28,28,28,28,28,8,21,8,7,7,7,7,7,7,8,8,8,7,7,1],[1,1,30,360,80,320,1,195,90,90,
180,15,60,180,360,480,576,80,320,480,960,960,960,60,140,240,30,90,15,90,120,
15,135,90,90,180,540,180,180,360,360,360,720,360,360,360,180,360,360,180,180,
60,360,360,160,576,1152,480,960,80,240,320,480,960,240,240,480,45,45,30,180,
15,90,120,180,90,20,60,60,60,120,120,360,180,360,180,180,180,360,45,90,135,60,
90,180,90,270,45,90,90,90,45,180,180,360,360,360,720,360,360,360,720,180,360,
180,180,180,180,360,360,360,360,180,180,180,360,360,360,160,160,160,576,576,
576,140,240,240,160,120,480,80,240,240,240,480,240,240,240,240,240,240,480,
960,6,90,10,60,90,15,30,45,180,90,30,90,90,180,90,45,90,90,45,135,45,60,90,45,
90,90,180,180,180,360,360,90,180,180,180,180,180,180,360,180,180,180,180,180,
180,180,180,180,90,90,180,90,90,180,180,180,180,180,180,360,180,180,180,360,
360,360,160,160,160,576,20,60,120,120,160,240,240,120,240,240,240,480,180,120,
120,240,240,240,480,60,80,240,240,240,240,240,240,240,240,480,240,192,1,15,15,
15,30,90,180,90,45,45,90,90,180,90,45,45,90,90,90,45,90,90,90,90,90,90,45,90,
45,90,90,180,90,90,180,180,90,180,90,180,90,180,90,90,90,90,180,180,160,160,
80,160,20,20,60,60,120,120,240,60,60,60,120,120,120,240,240,480,60,60,60,60,
120,60,120,120,240,240,96,96,96,192,15,90,30,45,45,45,90,90,90,90,90,90,45,90,
45,45,90,90,180,90,90,80,80,80,160,36,15,20,60,20,60,60,60,60,60,60,120,60,60,
60,60,60,60,60,120,120,96,96,96,192,15,45,15,45,45,45,45,10,80,36,36,36,30,15,
30,60,60,60,60,45,10,10,10,36,16,16,15,15,15,15,10,10,10,16,16,15,15,6,10,6,6,
1],[1,1,126,504,28,336,189,189,378,63,252,252,1512,3024,28,336,252,252,2016,
672,336,336,1008,1008,288,63,189,252,63,378,504,756,756,756,189,189,378,378,
756,756,378,378,756,378,378,756,756,756,1512,756,756,756,756,112,756,756,336,
336,504,1008,504,2016,1008,2016,252,1008,252,288,288,288,63,189,63,63,378,189,
252,252,378,378,504,504,756,63,189,189,189,378,378,378,378,378,378,756,756,
378,378,1512,1512,756,756,756,756,189,189,378,378,378,378,378,756,756,756,756,
112,112,112,336,336,336,336,288,63,252,756,252,252,504,252,504,756,252,252,
252,252,504,1008,504,28,288,252,252,504,63,126,189,189,378,189,63,126,378,189,
189,189,189,189,189,378,378,378,378,378,378,378,378,378,378,756,378,378,378,
378,336,336,112,336,336,336,336,288,288,288,63,63,126,126,63,126,126,63,252,
252,252,252,504,504,252,252,252,252,252,252,28,28,28,112,112,63,63,189,189,
189,378,378,378,378,189,189,336,288,63,63,126,63,63,63,63,63,126,63,63,126,63,
126,126,126,252,252,28,84,84,56,56,112,112,189,36,63,63,63,63,63,63,63,63,63,
63,126,126,28,84,84,28,28,56,28,28,56,36,36,36,63,63,28,28,28,28,28,28,28,36,
28,1,1,1,1,1],[1,1,210,56,560,210,1260,105,840,336,56,560,3360,1120,960,70,
420,840,210,240,315,630,1260,630,2520,280,336,560,1680,840,560,1680,840,960,
336,30,105,210,210,315,315,630,1260,1260,630,630,1260,280,1120,336,960,70,420,
560,840,1680,280,840,840,1680,840,1680,336,35,315,630,630,630,315,630,630,280,
560,560,1008,960,210,420,420,1680,420,840,420,840,840,840,840,240,336,105,210,
315,315,630,280,280,280,280,70,70,210,420,210,840,240,56,168,336,315,280,280,
120,240,70,210,105,210,210,168,168,35,120,240,240,56,105,210,35,70,28,56,35,
28,30,8,1],[1,1,150,840,80,320,31,225,90,90,540,75,420,420,2520,3360,4320,576,
80,320,480,1920,1920,480,1440,640,640,960,960,75,225,140,420,30,90,360,360,
105,120,630,840,840,960,1680,1080,1080,1080,225,315,90,270,540,1260,1260,540,
1080,1080,420,420,1080,360,360,720,420,1260,630,630,1260,1080,540,540,420,
1080,1080,1080,1080,2160,720,2160,720,720,720,160,576,1152,80,560,960,560,720,
320,240,720,320,320,960,1920,1920,1920,1920,1920,240,960,960,240,480,15,105,
120,210,270,75,105,45,30,90,90,420,420,105,630,840,540,270,140,180,420,420,
360,360,1260,1260,630,630,1260,1260,1260,360,360,540,540,1080,720,720,1080,
1080,135,270,270,135,60,270,180,270,270,315,315,270,630,630,270,270,135,270,
540,540,540,1260,1260,540,540,2520,2520,360,360,1080,1080,360,360,1080,1080,
2160,1080,1080,360,360,2160,2160,2160,420,420,1080,540,540,1080,1080,1080,
1080,1080,720,720,720,720,720,720,420,420,1080,420,270,270,540,540,540,540,
180,180,1080,1080,1080,1080,360,360,360,360,360,270,540,540,540,540,540,540,
1080,1080,1080,1080,1080,720,720,720,720,720,720,160,160,160,640,640,576,576,
576,140,240,240,160,120,240,720,960,960,240,80,720,560,720,240,240,240,720,
240,720,320,240,480,480,480,960,960,720,240,960,240,240,240,240,480,480,720,
720,1440,960,480,960,960,6,105,315,420,10,180,180,360,420,1260,630,630,1260,
360,360,360,720,1080,45,90,90,315,315,180,270,1260,1260,270,105,630,135,270,
270,270,840,540,540,180,90,90,90,135,135,270,90,135,270,270,540,270,135,270,
540,135,270,135,60,270,135,270,90,90,270,270,270,270,120,120,540,180,360,360,
135,270,270,540,60,60,540,540,1080,420,540,270,270,540,1080,1080,270,270,180,
180,540,540,270,270,540,540,540,540,540,270,270,540,180,180,180,180,180,180,
360,360,360,360,90,90,180,180,180,180,180,270,270,180,180,90,540,540,360,360,
360,360,270,270,540,540,540,540,540,270,270,270,540,540,540,270,270,540,540,
540,540,540,540,540,1080,180,180,540,540,1080,1080,360,360,1080,1080,1080,
1080,360,360,360,360,360,360,720,720,540,540,180,360,1080,1080,360,360,540,
540,540,540,540,540,540,540,540,540,540,180,360,1080,1080,360,360,180,180,180,
540,540,1080,1080,1080,1080,1080,360,360,360,160,320,320,320,320,160,160,640,
640,576,576,576,140,180,360,360,160,240,240,140,140,360,240,240,480,180,240,
240,120,240,240,180,180,360,240,240,240,240,240,240,480,480,60,80,80,240,720,
240,80,240,720,240,240,480,480,240,240,240,960,240,240,480,240,240,480,480,
480,240,240,240,240,240,240,240,720,720,240,240,240,240,240,240,240,240,240,
240,480,240,240,240,240,240,240,192,1,105,315,15,30,45,90,90,420,105,15,270,
15,45,90,135,270,30,135,135,270,90,45,135,135,270,270,135,45,60,60,270,135,
135,270,90,135,270,135,270,270,540,270,540,135,135,270,270,270,270,270,90,135,
270,270,540,135,270,135,135,270,90,270,270,270,270,45,45,90,90,45,135,270,270,
540,60,60,60,60,540,540,1080,60,60,540,540,1080,270,270,540,540,270,270,90,
540,540,180,180,180,90,540,270,180,180,270,270,180,180,540,540,540,540,540,
540,540,540,180,180,90,360,360,360,360,360,360,360,360,90,180,90,90,180,180,
90,90,270,270,540,540,180,180,180,270,270,540,540,90,180,270,270,540,540,90,
90,180,270,270,270,90,90,180,270,540,540,540,540,90,180,90,180,90,90,90,180,
90,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,
180,180,180,180,180,180,180,180,180,160,160,160,160,160,160,80,160,320,320,
320,320,576,20,180,180,360,20,60,140,180,360,360,180,180,360,240,240,240,240,
60,60,60,60,60,180,180,360,360,360,360,360,240,240,480,60,120,60,120,60,240,
240,180,180,60,60,360,360,240,240,180,360,240,80,120,120,120,240,240,240,240,
240,360,240,240,240,240,240,240,240,240,240,240,240,240,240,240,240,240,240,
240,240,240,480,96,96,96,192,15,45,90,15,270,15,45,135,30,45,135,90,270,135,
135,270,15,30,45,90,45,135,135,270,270,45,90,45,135,135,270,270,270,270,270,
90,135,135,270,270,45,45,45,90,135,135,270,270,45,135,135,270,45,90,45,90,45,
90,45,90,135,270,45,270,270,270,90,90,180,90,90,180,270,90,90,90,90,90,90,90,
180,90,90,90,90,270,540,90,90,90,180,90,90,90,90,90,90,90,90,90,90,90,90,180,
180,90,540,270,180,180,90,180,90,90,90,90,90,90,90,180,180,180,180,180,180,
160,160,160,160,80,80,80,80,80,80,80,160,160,160,36,15,20,20,20,60,20,20,20,
180,180,360,120,180,180,360,60,60,60,60,60,60,60,180,180,360,360,60,60,60,60,
60,180,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,
60,60,60,60,60,60,240,240,60,120,120,120,120,120,120,120,240,240,96,96,96,96,
96,96,96,96,96,192,15,15,15,135,135,15,45,45,45,45,90,135,135,270,270,45,45,
45,45,45,45,45,45,45,45,45,90,135,45,90,45,45,90,45,45,45,45,45,45,45,135,90,
90,90,90,90,90,90,90,90,90,10,80,80,80,80,80,80,80,160,36,36,36,15,45,45,20,
20,30,30,180,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,
60,60,60,60,60,60,60,60,60,60,60,60,120,120,96,96,96,15,15,45,45,45,45,45,45,
45,45,45,45,45,45,45,10,10,10,20,20,20,20,80,36,36,36,16,16,15,15,15,45,45,15,
15,15,30,30,60,60,60,60,45,10,10,10,10,10,10,10,20,20,20,20,36,16,16,16,16,16,
16,15,15,15,15,15,15,15,15,15,15,6,10,10,10,10,10,10,10,16,16,15,15,6,6,6,6,
10,6,6,1,1],[1,1,90,120,40,240,270,270,270,45,1296,120,40,240,360,1440,360,
1440,480,270,540,90,270,405,270,1620,270,120,240,160,960,1296,720,720,1080,
1080,1080,240,720,360,720,135,135,90,270,405,810,1620,1620,810,120,240,160,
1440,480,480,480,480,960,1296,270,90,540,360,360,720,360,1080,1080,1080,1080,
1080,40,40,320,27,270,405,405,810,810,120,720,720,240,240,480,720,1296,270,
540,540,90,540,540,360,360,540,360,1080,40,40,40,40,320,480,45,405,405,360,
360,120,360,720,160,270,540,270,270,270,40,120,120,120,240,216,216,135,360,
360,162,160,160,160,45,45,90,270,40,40,120,120,120,120,216,216,162,160,45,135,
40,120,45,40,40,36,45,40,40,36,27,1],[1,1,210,840,56,560,28,210,1260,105,840,
420,5040,336,56,560,3360,3360,1680,1120,1120,1680,1680,960,210,70,420,840,210,
240,1260,315,630,1260,630,210,1260,1260,1260,420,630,1260,630,2520,2520,2520,
280,336,2016,56,560,1680,560,840,560,840,560,560,1680,3360,3360,3360,3360,
1680,1680,840,960,960,960,336,30,105,210,420,210,420,420,630,315,315,630,630,
1260,1260,630,1260,630,1260,1260,1260,2520,2520,210,1260,630,630,630,1260,
1260,1260,630,1260,630,1260,1260,2520,2520,280,280,280,1120,1120,336,1008,
1008,960,70,420,560,840,1680,1680,280,840,560,840,840,840,560,840,1680,1680,
840,1680,840,1680,1680,1680,1680,960,336,672,105,35,210,315,315,630,315,210,
630,630,1260,630,630,315,630,630,315,630,630,630,630,1260,630,1260,1260,630,
1260,630,630,630,1260,280,560,560,560,560,280,280,1120,1120,336,1008,1008,960,
960,960,210,420,420,70,420,420,1680,420,420,840,210,420,420,420,840,840,280,
840,840,1680,840,840,840,840,840,840,840,240,336,336,336,105,315,315,210,210,
630,630,315,630,315,315,315,630,630,630,630,630,280,280,280,280,280,280,280,
280,560,560,560,560,1008,960,70,210,70,210,420,420,420,210,210,210,420,420,
420,210,420,420,420,840,840,840,240,56,168,336,336,336,105,315,315,315,315,
315,315,280,280,280,280,280,280,280,280,280,280,120,240,70,70,210,210,105,210,
210,210,210,210,210,420,56,168,168,168,168,168,336,315,35,280,280,120,120,120,
240,240,56,105,105,105,210,210,168,168,35,70,70,120,28,56,56,56,105,35,35,35,
28,28,28,56,35,30,28,8,8,1,1],[1,1,90,1080,120,40,240,36,270,270,270,45,540,
6480,1296,120,40,240,360,1440,360,1440,4320,1440,2160,480,1440,1440,1440,2160,
2160,270,270,540,90,270,1620,405,270,1620,270,810,1620,3240,540,810,1620,270,
3240,3240,120,240,160,960,1296,2592,120,720,720,720,1080,720,1080,1080,720,
1080,240,720,1440,2160,2160,2160,4320,4320,4320,4320,8640,4320,720,360,720,
2160,135,135,90,540,270,540,540,810,405,810,810,1620,1620,270,1620,1620,810,
1620,1620,1620,3240,3240,810,1620,810,810,810,1620,1620,1620,810,1620,120,240,
160,1440,360,720,360,720,480,480,480,480,480,480,480,1440,1440,1440,1440,960,
960,960,1296,1296,1296,270,90,540,360,360,720,720,2160,1080,360,1080,720,1080,
1080,1080,720,1080,1080,2160,1080,1080,2160,1080,1080,1080,1080,2160,2160,
2160,2160,2160,2160,40,40,320,27,135,270,270,405,405,405,405,270,810,810,810,
1620,810,810,405,810,810,810,810,1620,810,810,1620,1620,810,810,1620,1620,120,
240,720,240,720,240,240,480,720,720,1440,240,360,720,480,1440,1440,360,720,
960,1440,1440,1440,1440,1440,1440,1440,1440,1296,1296,1296,270,540,540,270,
540,540,90,540,540,360,360,540,270,540,540,540,540,1080,1080,2160,1080,360,
1080,1080,2160,1080,1080,1080,1080,1080,1080,1080,1080,1080,1080,1080,40,40,
40,40,40,40,320,480,480,480,480,960,960,45,405,405,405,405,270,810,810,405,
405,810,810,810,810,810,120,360,120,360,120,360,360,240,720,360,720,720,1440,
720,720,720,720,720,720,720,1296,160,270,270,540,540,540,540,270,270,270,540,
540,270,540,270,540,540,540,540,540,1080,1080,270,1080,1080,40,40,120,120,120,
120,240,240,240,480,240,480,480,480,960,216,216,135,135,405,405,405,405,405,
120,360,360,360,360,360,360,360,360,360,720,162,160,160,160,160,160,160,160,
45,45,90,270,270,270,270,270,270,540,270,270,270,40,40,120,120,120,120,240,
120,120,120,120,120,120,120,120,240,240,240,216,216,216,216,216,216,405,360,
360,162,160,160,160,160,160,160,160,45,45,135,135,135,135,270,270,40,40,120,
120,120,120,120,120,120,120,120,120,120,120,216,216,45,162,40,40,160,36,135,
135,120,120,45,45,45,40,40,40,40,40,40,36,36,36,27,45,40,40,36,27,1,1],[1,1,
630,7560,336,1120,6720,63,945,1890,1890,11340,315,3780,3780,22680,30240,90720,
12096,336,1120,6720,10080,10080,10080,40320,120960,10080,30240,13440,40320,
40320,40320,60480,60480,34560,315,945,1260,3780,630,1890,7560,7560,945,1080,
5670,7560,7560,8640,15120,22680,22680,22680,945,2835,1890,5670,11340,11340,
11340,11340,22680,22680,3780,3780,22680,22680,22680,45360,3780,11340,5670,
5670,11340,22680,11340,11340,3780,22680,22680,22680,22680,45360,45360,45360,
45360,45360,45360,3360,6720,4480,26880,12096,72576,336,5040,20160,5040,15120,
20160,30240,30240,5040,15120,6720,20160,40320,60480,60480,60480,120960,120960,
120960,120960,120960,120960,5040,10080,20160,60480,15120,30240,34560,34560,
34560,12096,135,945,1080,1890,5670,315,945,945,630,1890,1890,3780,3780,945,
5670,7560,11340,5670,1260,3780,3780,3780,7560,7560,11340,11340,5670,5670,
11340,11340,11340,7560,7560,11340,11340,22680,15120,15120,22680,22680,2835,
5670,5670,2835,3780,5670,11340,5670,5670,2835,2835,5670,5670,5670,5670,5670,
2835,5670,11340,11340,11340,11340,11340,11340,11340,22680,22680,22680,22680,
22680,22680,22680,22680,22680,22680,45360,22680,22680,22680,22680,45360,45360,
45360,3780,3780,22680,11340,11340,22680,22680,22680,22680,22680,45360,45360,
45360,45360,45360,45360,3780,3780,22680,3780,5670,5670,11340,11340,11340,
11340,11340,11340,22680,22680,22680,22680,22680,22680,22680,22680,22680,5670,
11340,11340,11340,11340,11340,11340,22680,22680,22680,22680,22680,45360,45360,
45360,45360,45360,45360,3360,6720,4480,40320,10080,20160,10080,20160,13440,
13440,13440,13440,13440,13440,13440,40320,40320,40320,40320,26880,26880,26880,
12096,36288,36288,34560,1260,2520,2520,5040,15120,10080,7560,2520,10080,30240,
5040,15120,20160,60480,5040,5040,15120,10080,30240,5040,15120,15120,15120,
15120,15120,15120,15120,20160,30240,30240,60480,15120,30240,30240,30240,60480,
60480,15120,30240,15120,60480,15120,15120,30240,30240,15120,15120,30240,30240,
15120,15120,30240,60480,30240,60480,60480,60480,1120,1120,8960,34560,12096,
24192,378,945,2835,3780,630,3780,3780,7560,3780,11340,5670,5670,11340,7560,
7560,7560,15120,22680,945,1890,1890,2835,2835,3780,5670,11340,11340,5670,945,
5670,2835,5670,5670,5670,7560,11340,11340,11340,1890,1890,1890,2835,2835,5670,
5670,2835,5670,5670,11340,5670,2835,5670,11340,2835,5670,2835,3780,5670,2835,
5670,5670,5670,5670,5670,5670,5670,7560,7560,11340,11340,22680,22680,2835,
5670,5670,11340,3780,3780,11340,11340,22680,3780,11340,5670,5670,11340,22680,
22680,5670,5670,11340,11340,11340,11340,5670,5670,11340,11340,11340,11340,
11340,5670,5670,11340,11340,11340,11340,11340,11340,11340,22680,22680,22680,
22680,5670,5670,11340,11340,11340,11340,11340,5670,5670,11340,11340,5670,
11340,11340,22680,22680,22680,22680,5670,5670,11340,11340,11340,11340,11340,
5670,5670,5670,11340,11340,11340,5670,5670,11340,11340,11340,11340,11340,
11340,11340,22680,11340,11340,11340,11340,22680,22680,22680,22680,22680,22680,
22680,22680,22680,22680,22680,22680,22680,22680,45360,45360,11340,11340,11340,
22680,22680,22680,22680,22680,11340,11340,11340,11340,11340,11340,11340,11340,
11340,11340,11340,11340,22680,22680,22680,22680,22680,11340,11340,11340,11340,
11340,22680,22680,22680,22680,22680,22680,22680,22680,3360,6720,20160,6720,
20160,6720,6720,13440,20160,20160,40320,6720,10080,20160,13440,40320,40320,
10080,20160,26880,40320,40320,40320,40320,40320,40320,40320,40320,12096,36288,
36288,34560,34560,34560,1260,3780,7560,7560,7560,7560,10080,15120,15120,15120,
15120,1260,1260,7560,5040,15120,30240,2520,2520,3780,5040,15120,2520,7560,
10080,15120,15120,30240,3780,3780,7560,5040,15120,15120,15120,15120,15120,
30240,15120,15120,30240,30240,30240,30240,30240,30240,30240,3780,5040,5040,
5040,15120,5040,10080,5040,5040,15120,15120,15120,30240,30240,15120,15120,
15120,60480,15120,15120,30240,15120,15120,30240,30240,30240,15120,15120,15120,
15120,15120,15120,15120,15120,15120,15120,15120,15120,15120,15120,30240,30240,
30240,30240,15120,30240,15120,15120,15120,15120,30240,15120,15120,15120,15120,
15120,30240,15120,1120,1120,1120,1120,1120,1120,8960,13440,13440,13440,13440,
26880,26880,8640,8640,12096,12096,12096,12096,63,945,2835,315,630,945,1890,
1890,3780,945,945,5670,945,945,1890,2835,5670,1890,2835,2835,5670,5670,2835,
2835,2835,5670,5670,2835,2835,3780,3780,5670,2835,2835,5670,5670,2835,5670,
2835,5670,5670,11340,5670,11340,2835,2835,5670,5670,5670,5670,5670,5670,2835,
5670,5670,11340,2835,5670,2835,2835,5670,5670,5670,5670,5670,5670,2835,2835,
5670,5670,2835,2835,5670,5670,11340,3780,3780,3780,3780,11340,11340,22680,
3780,3780,11340,11340,22680,5670,5670,11340,11340,5670,5670,5670,11340,11340,
11340,11340,11340,5670,11340,5670,11340,11340,5670,5670,11340,11340,11340,
11340,11340,11340,11340,11340,11340,11340,11340,11340,5670,22680,22680,22680,
22680,22680,22680,22680,22680,5670,11340,5670,5670,11340,11340,5670,5670,5670,
5670,11340,11340,11340,11340,11340,5670,5670,11340,11340,5670,11340,5670,5670,
11340,11340,5670,5670,11340,5670,5670,5670,5670,5670,11340,5670,11340,11340,
11340,11340,5670,11340,5670,11340,5670,5670,5670,11340,5670,11340,11340,11340,
11340,11340,11340,11340,11340,11340,11340,11340,11340,11340,11340,11340,11340,
11340,11340,11340,11340,11340,11340,11340,11340,11340,11340,11340,3360,10080,
3360,10080,3360,10080,5040,5040,10080,6720,20160,10080,20160,20160,40320,
20160,20160,20160,20160,20160,20160,20160,36288,4480,34560,1260,3780,3780,
7560,7560,7560,15120,1260,3780,7560,1260,3780,7560,7560,3780,3780,7560,5040,
15120,15120,15120,3780,3780,7560,7560,3780,3780,3780,3780,3780,7560,7560,7560,
7560,7560,15120,15120,30240,3780,7560,3780,7560,3780,15120,15120,3780,3780,
3780,3780,7560,7560,7560,7560,15120,15120,15120,3780,7560,7560,15120,5040,
5040,7560,7560,7560,15120,15120,15120,15120,15120,15120,15120,15120,30240,
30240,7560,7560,7560,15120,15120,15120,15120,15120,15120,15120,15120,15120,
15120,15120,15120,15120,15120,15120,15120,15120,30240,15120,15120,15120,30240,
1120,1120,3360,3360,3360,3360,6720,6720,6720,13440,6720,13440,13440,13440,
26880,8640,8640,2016,2016,6048,12096,12096,12096,12096,135,945,1890,945,5670,
945,945,2835,1890,945,2835,1890,5670,2835,2835,5670,945,1890,2835,5670,2835,
2835,2835,5670,5670,2835,5670,2835,2835,2835,5670,5670,5670,5670,5670,5670,
2835,2835,5670,5670,2835,2835,2835,5670,2835,2835,5670,5670,2835,2835,2835,
5670,2835,5670,2835,5670,2835,5670,2835,5670,2835,5670,2835,5670,5670,5670,
5670,5670,11340,5670,5670,11340,5670,5670,5670,5670,5670,5670,5670,5670,11340,
5670,5670,5670,5670,5670,11340,5670,5670,5670,11340,5670,5670,5670,5670,5670,
5670,5670,5670,5670,5670,5670,5670,11340,11340,5670,11340,5670,11340,11340,
5670,11340,5670,5670,5670,5670,5670,5670,5670,11340,11340,11340,11340,11340,
11340,3360,10080,10080,10080,5040,5040,5040,5040,5040,5040,10080,5040,5040,
5040,5040,5040,5040,5040,10080,10080,5040,10080,10080,10080,20160,2268,4480,
4480,4480,4480,4480,4480,4480,4320,8640,8640,315,630,1260,2520,1260,1260,1260,
3780,1260,1260,1260,3780,3780,7560,2520,2520,2520,3780,3780,7560,3780,3780,
3780,3780,3780,3780,3780,7560,7560,3780,3780,7560,7560,3780,7560,3780,3780,
3780,3780,3780,7560,7560,7560,7560,3780,7560,3780,3780,3780,3780,3780,3780,
3780,3780,3780,3780,3780,3780,3780,3780,7560,3780,3780,3780,3780,3780,3780,
3780,3780,7560,3780,7560,3780,3780,3780,3780,3780,3780,15120,15120,3780,7560,
7560,7560,7560,7560,7560,7560,7560,7560,7560,7560,15120,15120,1120,1120,3360,
3360,3360,3360,6720,3360,3360,3360,3360,3360,3360,3360,3360,6720,6720,6720,
2016,6048,2016,6048,6048,6048,6048,6048,6048,12096,12096,315,945,945,2835,
2835,945,2835,2835,2835,2835,5670,2835,2835,5670,5670,2835,2835,2835,2835,
2835,2835,2835,2835,2835,2835,2835,5670,2835,2835,5670,2835,2835,5670,2835,
2835,2835,2835,2835,2835,2835,2835,5670,5670,5670,5670,5670,5670,5670,5670,
5670,5670,630,5040,5040,5040,5040,5040,5040,10080,5040,5040,5040,5040,5040,
5040,5040,5040,10080,2268,2268,2268,4480,4480,4480,4480,4480,4480,4480,4320,
4320,4320,8640,8640,8640,2016,2016,315,945,1260,945,1890,1260,1260,1890,3780,
3780,7560,1890,3780,3780,3780,3780,3780,3780,3780,3780,3780,3780,3780,7560,
3780,3780,3780,3780,3780,3780,3780,3780,7560,3780,3780,3780,3780,3780,3780,
3780,3780,3780,7560,3780,3780,3780,3780,3780,3780,3780,3780,3780,3780,7560,
7560,7560,7560,1120,1120,3360,3360,3360,3360,3360,3360,3360,3360,3360,3360,
3360,3360,6048,6048,6048,960,945,945,945,2835,2835,2835,2835,2835,2835,2835,
2835,2835,2835,2835,2835,630,630,630,1260,1260,1260,2520,1260,1260,5040,5040,
2268,2268,2268,1120,1120,4480,4320,336,1008,2016,2016,2016,2016,2016,2016,315,
315,630,945,945,1890,945,945,945,1890,945,945,1890,1890,3780,3780,3780,3780,
3780,3780,3360,3360,1080,960,2835,630,630,630,630,630,630,630,1260,1260,1260,
1260,1260,1260,2520,1260,2268,1120,1120,1120,1120,1120,1120,1080,336,1008,
1008,1008,1008,1008,2016,2016,960,315,315,945,945,945,945,945,1890,945,945,
945,945,945,945,378,336,315,630,630,630,630,630,630,630,1260,1120,1120,1080,
1080,1080,1008,1008,960,945,945,945,378,378,378,378,336,336,336,315,315,315,
630,288,120,378,378,336,315,288,120,120,120,135,63,120,36,63,28,36,28,1]],
[1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,5,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,7,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,9,9,9,9,10,10,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,14,14,14,15,16,16,16,16,16,16,16,
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,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,20,20,20,
21,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,27,27,27,28,30,30,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,40,40,40,42,42,42,48,
48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,
48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,
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,
54,54,54,54,54,54,54,54,54,54,54,54,54,56,56,60,60,60,60,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,72,72,72,72,72,72,72,72,72,72,72,72,72,
72,72,72,72,72,72,72,72,72,80,81,84,96,96,96,96,96,96,96,96,96,96,96,96,96,96,
96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,
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,
96,96,96,96,96,96,96,96,108,108,108,108,108,108,108,108,108,108,108,108,108,
108,108,112,112,120,120,120,120,120,120,120,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
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,
128,128,128,144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,
144,144,144,144,144,144,144,144,144,160,162,162,162,162,162,162,162,168,168,
168,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,
192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,
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,
216,216,216,216,216,216,216,216,216,216,216,216,216,216,216,216,216,216,240,
240,240,240,240,240,240,240,240,240,240,256,256,256,256,256,256,256,256,256,
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,
256,256,256,256,288,288,288,288,288,288,288,288,288,288,288,288,288,288,288,
288,288,320,320,320,324,324,324,324,324,324,324,336,336,336,336,336,336,360,
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,
384,432,432,432,432,432,432,432,432,432,432,432,432,432,432,480,480,480,504,
512,512,512,512,512,512,512,512,512,512,512,512,512,512,512,576,576,576,576,
576,576,576,576,576,576,576,640,640,640,648,648,648,672,720,720,720,720,720,
720,720,720,768,768,768,768,768,768,768,768,768,768,768,768,768,768,768,768,
768,768,768,768,864,864,896,1008,1024,1152,1152,1152,1152,1152,1152,1152,1152,
1152,1152,1152,1152,1152,1152,1152,1280,1296,1296,1296,1296,1296,1296,1344,
1440,1440,1440,1440,1440,1440,1440,1440,1512,1536,1536,1536,1536,1536,1536,
1536,1536,1536,1536,1536,1536,1536,1536,1920,2160,2304,2304,2304,2304,2304,
2304,2304,2304,2304,2592,2592,2688,2688,2688,2880,2880,3024,3072,3072,3072,
3840,3840,3840,3840,4320,4320,4320,4608,4608,4608,4608,5040,6048,7680,7680,
8640,9216,10080,12096,12096,12096,21504,23040,24192,40320,46080,51840,80640,
103680,2903040],
[1685,1685,1664,1477,1671,1645,1508,1681,1655,1627,1627,1387,1672,1580,1579,
1128,1052,392,1360,1671,1645,1508,1419,1418,1419,948,347,1420,1039,1349,942,
942,940,666,666,952,1672,1655,1641,1579,1664,1627,1479,1489,1654,1648,1524,
1498,1466,1442,1298,1185,1182,1186,1655,1587,1627,1528,1387,1401,1401,1387,
1128,1128,1582,1582,1081,1130,1130,865,1579,1401,1535,1522,1401,1081,1387,
1393,1582,1128,1128,1186,1185,732,866,733,873,865,867,1584,1508,1553,1067,
1360,598,1671,1547,1226,1547,1331,1224,1048,1048,1546,1331,1508,1224,942,705,
666,705,346,347,348,347,345,346,1546,1419,1226,666,1330,1052,952,952,952,1360,
1677,1654,1647,1622,1528,1672,1653,1655,1664,1628,1627,1579,1579,1654,1524,
1466,1361,1528,1641,1582,1579,1579,1460,1460,1401,1401,1522,1522,1401,1401,
1401,1489,1489,1387,1387,1185,1283,1283,1128,1185,1587,1524,1528,1587,1580,
1528,1387,1528,1528,1587,1587,1524,1524,1524,1528,1528,1587,1528,1361,1361,
1361,1401,1401,1399,1408,1077,1077,1185,1130,1081,1081,1181,1180,1185,1186,
733,1185,1186,1186,1120,733,732,732,1582,1582,1081,1399,1399,1081,1081,1081,
1081,1081,867,865,867,866,865,866,1582,1582,1081,1582,1522,1522,1401,1399,
1408,1399,1387,1387,1081,1081,1081,1081,1130,1130,1185,1120,1186,1523,1361,
1361,1361,1361,1399,1399,1081,1081,1081,1081,1081,867,866,865,867,866,865,
1584,1508,1553,948,1428,1226,1428,1226,1347,1347,1349,1349,1349,1349,1349,942,
941,940,942,1067,1067,1067,1360,950,950,952,1641,1601,1600,1546,1316,1427,
1489,1601,1419,1026,1546,1331,1226,666,1546,1547,1331,1419,1048,1547,1331,
1331,1331,1331,1331,1331,1331,1224,1048,1048,705,1330,1045,1052,1046,661,662,
1331,1048,1331,666,1331,1331,1048,1048,1330,1330,1046,1045,1331,1331,1013,666,
1014,666,666,705,1645,1646,1436,952,1360,1074,1670,1653,1587,1579,1666,1582,
1582,1460,1579,1401,1535,1522,1401,1489,1479,1489,1283,1185,1655,1627,1621,
1587,1587,1565,1528,1401,1401,1528,1654,1524,1587,1524,1528,1528,1466,1361,
1361,1387,1626,1627,1627,1587,1587,1524,1525,1587,1524,1528,1361,1524,1587,
1528,1361,1587,1528,1587,1580,1524,1587,1524,1525,1527,1524,1524,1524,1528,
1497,1498,1361,1371,1186,1185,1587,1524,1528,1361,1582,1582,1399,1399,1081,
1582,1399,1522,1522,1401,1081,1081,1522,1522,1387,1387,1401,1401,1522,1522,
1401,1401,1401,1401,1401,1522,1522,1401,1399,1387,1387,1399,1387,1387,1185,
1186,1186,1185,1525,1527,1371,1371,1370,1397,1371,1535,1522,1399,1399,1527,
1401,1401,1185,1186,1185,1186,1523,1523,1361,1361,1361,1361,1361,1528,1528,
1528,1361,1361,1361,1522,1522,1401,1401,1401,1401,1401,1399,1399,1081,1399,
1399,1399,1399,1081,1081,1186,1186,1081,1081,1081,1081,1186,1186,1185,1185,
1185,1185,866,867,1408,1399,1399,1130,1081,1081,1130,1120,1361,1361,1361,1361,
1361,1361,1361,1361,1361,1399,1408,1399,1130,1081,1081,1130,1120,1383,1399,
1399,1399,1399,1081,1081,1081,1081,1081,1119,1120,1120,1584,1504,1223,1508,
1226,1508,1508,1349,1224,1226,942,1508,1428,1226,1347,948,948,1428,1226,1067,
942,942,941,940,941,940,942,942,1360,950,950,952,952,952,1641,1582,1460,1460,
1489,1489,1427,1316,1317,1283,1283,1641,1641,1460,1546,1316,990,1600,1601,
1582,1546,1316,1601,1489,1419,1317,1316,1026,1582,1582,1460,1546,1316,1316,
1317,1316,1317,990,1309,1309,1023,1026,1027,1027,1025,1024,1026,1580,1547,
1547,1546,1331,1546,1419,1547,1546,1331,1330,1330,1052,1052,1331,1331,1331,
666,1330,1330,1045,1330,1330,1046,1045,1046,1331,1331,1331,1331,1331,1331,
1331,1331,1331,1331,1331,1331,1331,1331,1048,1048,1048,1048,1331,1048,1331,
1331,1331,1330,1052,1331,1331,1331,1331,1331,1048,1331,1646,1646,1645,1645,
1646,1645,1436,1349,1349,1347,1347,1067,1067,1442,1443,1360,1359,1360,1360,
1681,1654,1587,1672,1664,1655,1627,1628,1579,1653,1655,1522,1654,1653,1622,
1587,1528,1630,1587,1587,1524,1525,1587,1587,1587,1524,1524,1587,1587,1580,
1580,1524,1587,1587,1524,1525,1587,1524,1587,1524,1528,1361,1528,1361,1587,
1587,1524,1524,1524,1524,1524,1529,1587,1528,1524,1361,1587,1528,1587,1587,
1524,1525,1524,1524,1524,1524,1587,1587,1528,1528,1587,1587,1528,1524,1361,
1581,1581,1582,1582,1399,1399,1081,1582,1582,1399,1399,1081,1522,1522,1401,
1401,1522,1522,1522,1401,1401,1387,1387,1387,1522,1401,1522,1387,1387,1522,
1535,1399,1399,1401,1401,1401,1401,1401,1401,1401,1401,1399,1399,1527,1186,
1186,1186,1186,1185,1185,1185,1185,1522,1387,1527,1527,1397,1397,1527,1522,
1522,1522,1401,1401,1387,1387,1387,1522,1522,1401,1401,1522,1387,1522,1535,
1401,1401,1527,1525,1371,1528,1528,1528,1522,1532,1371,1523,1361,1361,1361,
1361,1527,1397,1534,1397,1530,1522,1525,1371,1525,1371,1371,1370,1371,1399,
1399,1399,1399,1371,1370,1371,1399,1399,1399,1399,1383,1383,1371,1371,1370,
1371,1371,1370,1399,1399,1399,1399,1584,1428,1584,1428,1584,1428,1546,1547,
1419,1508,1226,1428,1224,1226,942,1223,1226,1223,1226,1226,1226,1224,950,1553,
952,1641,1582,1582,1460,1489,1489,1283,1642,1579,1479,1641,1582,1460,1460,
1582,1582,1460,1546,1316,1317,1316,1582,1582,1489,1489,1580,1582,1582,1582,
1582,1460,1460,1460,1460,1460,1316,1317,990,1580,1497,1580,1498,1582,1317,
1316,1582,1582,1582,1582,1460,1460,1489,1489,1309,1316,1317,1582,1460,1489,
1283,1546,1547,1498,1497,1452,1309,1316,1317,1316,1317,1325,1324,1323,1026,
1027,1500,1501,1502,1331,1331,1331,1331,1331,1331,1330,1331,1331,1331,1330,
1330,1330,1331,1330,1330,1331,1048,1331,1331,1330,1052,1645,1646,1584,1583,
1583,1584,1508,1517,1517,1347,1508,1349,1349,1347,1067,1442,1443,1617,1618,
1519,1360,1360,1360,1359,1677,1655,1627,1655,1522,1654,1653,1587,1632,1653,
1587,1622,1524,1587,1587,1524,1654,1630,1587,1528,1587,1587,1587,1524,1524,
1587,1528,1587,1587,1587,1524,1524,1524,1524,1524,1525,1587,1587,1524,1524,
1587,1587,1587,1528,1587,1587,1524,1524,1587,1587,1587,1528,1587,1528,1587,
1528,1587,1528,1587,1528,1587,1524,1587,1524,1524,1524,1527,1527,1380,1522,
1525,1371,1522,1522,1525,1525,1525,1525,1527,1527,1399,1522,1522,1527,1527,
1522,1401,1525,1525,1527,1397,1527,1527,1527,1528,1528,1528,1522,1525,1525,
1522,1522,1522,1387,1387,1522,1401,1522,1387,1387,1525,1371,1522,1523,1527,
1527,1522,1522,1522,1370,1371,1371,1399,1383,1398,1584,1428,1428,1428,1546,
1547,1547,1547,1546,1546,1419,1546,1547,1547,1547,1546,1546,1547,1419,1419,
1546,1428,1428,1428,1226,1603,1553,1553,1553,1553,1553,1553,1553,1554,1443,
1442,1672,1664,1644,1601,1642,1642,1642,1579,1641,1641,1641,1582,1582,1460,
1601,1601,1600,1582,1582,1460,1581,1579,1580,1579,1579,1581,1579,1479,1479,
1582,1582,1460,1460,1578,1470,1582,1582,1582,1582,1582,1489,1489,1489,1489,
1582,1489,1582,1581,1581,1580,1582,1582,1582,1582,1582,1582,1580,1580,1579,
1579,1479,1582,1582,1582,1582,1580,1580,1580,1582,1489,1582,1489,1582,1582,
1582,1582,1582,1582,1316,1317,1582,1498,1498,1497,1497,1500,1501,1502,1503,
1500,1501,1502,1330,1331,1646,1645,1583,1583,1583,1583,1517,1584,1583,1583,
1584,1584,1584,1584,1584,1517,1508,1508,1617,1520,1618,1519,1518,1519,1520,
1519,1518,1359,1360,1672,1655,1655,1587,1587,1654,1587,1587,1587,1587,1528,
1587,1587,1524,1524,1587,1587,1587,1587,1587,1587,1587,1587,1587,1587,1587,
1528,1587,1587,1528,1587,1587,1528,1587,1587,1587,1587,1587,1587,1587,1587,
1527,1527,1527,1527,1525,1525,1522,1525,1525,1522,1666,1547,1547,1547,1547,
1546,1546,1419,1546,1546,1547,1547,1546,1546,1546,1547,1428,1603,1603,1603,
1553,1553,1553,1553,1553,1553,1553,1554,1554,1554,1442,1443,1444,1617,1618,
1672,1655,1644,1655,1627,1641,1642,1632,1568,1577,1457,1632,1577,1582,1582,
1582,1582,1582,1578,1579,1582,1578,1578,1470,1582,1582,1582,1579,1581,1582,
1579,1579,1479,1581,1581,1579,1582,1580,1580,1581,1581,1582,1489,1582,1582,
1580,1579,1579,1580,1581,1580,1580,1580,1500,1501,1502,1503,1646,1645,1584,
1584,1584,1583,1584,1583,1583,1583,1583,1584,1584,1583,1518,1519,1520,1652,
1654,1655,1653,1587,1587,1587,1587,1587,1587,1587,1587,1587,1587,1587,1587,
1666,1666,1666,1642,1642,1644,1601,1641,1641,1546,1547,1603,1603,1603,1645,
1646,1553,1554,1671,1650,1617,1618,1617,1618,1618,1617,1672,1672,1664,1654,
1655,1627,1655,1655,1655,1627,1655,1655,1632,1632,1577,1578,1579,1580,1581,
1582,1583,1584,1647,1652,1587,1666,1666,1666,1666,1666,1666,1666,1642,1641,
1644,1644,1641,1644,1601,1642,1603,1645,1645,1645,1646,1646,1646,1648,1671,
1650,1650,1651,1651,1650,1617,1618,1652,1672,1672,1653,1655,1654,1655,1655,
1627,1653,1654,1654,1655,1655,1655,1670,1671,1672,1666,1666,1666,1666,1666,
1666,1666,1644,1645,1646,1647,1648,1649,1650,1651,1652,1653,1654,1655,1670,
1670,1669,1670,1671,1671,1671,1672,1672,1672,1666,1673,1679,1669,1670,1671,
1672,1673,1679,1679,1679,1677,1681,1679,1683,1681,1684,1683,1684,1685],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,5,5,7,6,6,7,7,7,1,2,2,
2,2,3,3,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,
3,2,3,3,3,3,3,3,3,3,3,3,1,1,1,1,1,19,5,5,7,1,1,1,1,1,5,5,7,7,6,6,7,6,7,7,6,7,
5,7,1,1,1,1,14,17,1,36,36,1,1,1,1,1,1,2,2,2,3,3,3,2,2,1,1,1,1,1,2,2,2,2,2,2,2,
2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,1,1,2,1,1,3,1,1,3,2,2,2,2,2,3,3,2,3,3,3,3,2,2,2,
2,2,2,3,3,2,2,3,3,3,3,3,3,3,3,3,3,3,3,9,9,9,9,9,9,9,9,9,9,12,11,12,12,11,12,9,
9,9,2,2,2,2,2,1,1,3,3,2,1,2,1,3,1,3,1,3,2,2,3,3,3,9,9,9,9,9,9,9,12,12,11,12,
12,11,1,1,1,1,90,91,90,91,92,92,91,7,7,7,7,6,5,7,6,93,93,1,19,19,1,36,39,37,
41,37,40,39,44,41,41,43,20,20,22,22,2,2,2,3,3,20,20,1,1,20,20,20,20,22,23,23,
23,14,14,17,14,17,17,1,1,2,2,5,5,6,6,122,122,122,122,5,5,5,7,5,7,7,6,6,1,6,36,
1,127,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,2,3,2,2,2,3,3,2,2,3,2,2,2,2,3,3,2,3,
3,3,3,3,2,13,13,13,13,13,13,13,13,13,13,13,13,13,13,1,1,1,13,13,13,13,13,13,
13,13,14,14,13,13,14,14,2,2,3,3,2,2,2,2,2,9,9,9,9,9,9,9,2,2,3,3,2,2,9,9,9,9,9,
9,9,9,9,9,9,11,11,9,11,11,12,12,12,12,1,2,2,1,3,3,3,13,13,13,13,13,13,13,14,
14,14,14,13,13,13,13,13,13,13,3,3,2,3,2,3,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,12,
12,9,9,9,9,11,11,11,11,12,12,12,12,9,9,9,12,9,9,12,11,13,13,13,13,13,13,13,13,
13,9,9,9,12,9,9,12,11,13,9,9,9,9,9,9,9,9,9,8,10,10,90,5,5,5,7,7,7,7,7,5,6,91,
90,91,92,91,91,1,1,93,92,92,91,90,91,90,92,92,19,19,19,36,36,36,39,39,39,39,
44,44,39,40,37,44,44,292,292,292,295,296,297,41,37,39,37,40,41,44,41,37,40,43,
292,292,292,295,296,296,295,296,295,297,298,298,293,301,300,300,299,294,301,
172,20,20,20,20,2,3,2,20,20,14,14,17,17,2,20,20,22,122,122,122,122,122,122,
122,122,100,5,20,20,5,100,100,20,20,100,100,100,100,100,102,102,102,102,5,6,
100,100,100,14,17,9,9,9,9,20,23,100,350,350,349,349,1,6,6,91,7,92,92,93,93,50,
46,5,723,19,127,2,2,2,13,13,2,3,3,2,2,2,2,1,13,13,13,13,8,56,56,56,56,13,13,
13,13,13,13,13,14,14,13,56,56,56,56,13,13,13,13,13,13,13,13,56,56,56,56,56,56,
56,56,13,13,13,13,2,3,56,56,56,56,56,56,56,56,2,13,13,3,13,13,13,13,13,45,45,
9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,12,12,11,13,13,13,14,14,56,56,56,56,56,
56,56,56,56,56,56,56,56,56,56,62,62,62,62,62,62,62,62,9,11,56,56,58,58,56,9,9,
9,9,9,11,12,12,9,9,9,9,8,10,56,56,56,56,56,56,58,13,13,13,13,56,58,13,13,13,
13,13,56,58,56,58,56,9,56,58,56,58,10,10,8,9,9,9,9,57,57,55,56,56,56,56,45,45,
57,55,57,9,11,11,56,56,56,56,266,266,90,90,266,266,37,39,41,267,267,90,90,91,
92,90,91,20,20,22,91,22,94,92,36,39,39,39,39,44,44,44,359,363,369,292,292,292,
292,292,292,292,295,296,295,296,292,292,298,298,172,39,39,292,292,292,292,292,
292,292,296,295,297,649,649,649,649,39,37,40,292,292,292,292,292,292,298,298,
298,296,295,39,39,44,44,20,20,172,172,292,298,296,295,296,295,293,294,299,301,
300,41,41,37,20,100,100,100,100,100,122,9,100,100,323,323,323,100,122,122,100,
102,100,100,45,49,349,350,5,349,349,90,7,349,349,349,91,350,350,92,93,50,46,
1070,1071,1072,19,127,127,723,2,13,13,9,9,45,134,134,135,134,134,134,134,134,
134,134,45,141,56,58,56,56,56,56,56,9,11,45,134,134,134,134,134,134,134,135,
56,56,56,56,56,55,55,57,56,56,56,56,56,13,13,13,56,58,56,58,45,45,56,58,13,13,
56,56,56,56,184,184,177,55,171,175,9,56,135,135,134,134,56,56,56,56,56,168,
168,56,56,171,171,168,168,168,184,184,57,55,57,9,56,56,141,141,141,145,145,56,
56,56,62,62,171,175,56,45,134,134,141,56,141,171,175,175,56,184,177,568,568,
568,568,306,307,307,39,306,37,41,295,292,292,935,934,934,935,936,936,295,266,
266,90,267,355,349,349,92,350,350,951,951,1235,721,720,729,730,729,730,960,
960,359,363,39,292,292,292,292,292,136,133,136,292,292,292,960,961,649,961,
961,960,961,962,962,292,292,292,292,739,740,603,603,603,603,603,607,607,607,
607,39,44,39,359,359,172,147,147,603,603,603,603,172,172,363,363,369,292,292,
292,292,649,649,649,292,298,292,298,603,603,147,147,292,292,296,295,603,649,
649,649,649,624,619,620,743,299,294,293,323,100,711,709,709,349,709,709,709,
90,349,349,350,266,266,711,350,349,267,350,1070,1070,1071,1072,1071,1072,1070,
1072,1071,723,353,13,135,135,134,134,141,135,184,168,171,175,134,134,134,134,
135,134,184,171,177,184,168,184,141,141,141,145,56,171,175,134,141,145,168,
171,141,168,177,56,56,56,405,405,405,405,408,408,141,408,408,141,359,292,307,
935,935,934,934,936,934,934,935,935,306,934,295,935,568,1227,1227,355,951,951,
951,951,951,350,349,1235,1235,1235,720,721,1444,1070,1071,1238,1238,1240,729,
730,292,960,1238,1239,1240,1241,729,729,292,603,603,603,603,1271,363,147,1271,
739,740,603,603,603,961,960,292,961,961,962,960,960,961,603,978,978,960,960,
603,607,603,603,411,961,961,649,359,649,649,978,1028,1029,1030,743,711,709,
350,568,711,349,1058,1057,1057,1057,1057,1058,1058,709,1071,1072,1070,1521,
141,373,134,408,408,405,410,778,778,405,778,410,778,377,373,1412,359,1412,960,
960,729,730,953,953,934,935,1227,1227,1227,1333,1332,951,1235,1555,1556,1070,
1446,1445,1071,1446,1445,1361,729,730,1366,1238,1239,1238,1238,1238,1239,729,
729,1238,1238,1240,1271,961,978,960,603,1057,1058,1077,1521,778,1412,1412,
1412,1412,1412,1412,1412,1412,1412,1240,1238,953,1542,1543,960,1227,1333,1551,
1551,1332,1552,1552,1610,1555,1556,1556,1555,1555,1556,1445,1446,1521,1563,
1238,1361,1078,1566,1450,1450,1451,1563,1566,1366,1450,1238,1238,1634,1555,
1361,1537,1537,1537,1537,1412,1412,1412,1542,1551,1552,1585,1610,1649,1556,
1555,1521,1563,1566,1450,1634,1634,1658,1634,1635,1635,1555,1564,1636,1563,
1537,1667,1668,1658,1634,1635,1636,1667,1668,1668,1668,1677,1678,1668,1680,
1678,1682,1680,1682,1685],
[( 1,199, 64,204)( 2,108,106,141)( 3, 97,107,135)( 4, 44,165,127)
( 5,197,166,181)( 6, 99,167,134)( 7, 43, 60,225)( 8, 33,156, 31)
( 9, 50,161,115)( 10,210, 55, 38)( 11,223,217,231)( 12,208,218, 16)
( 13,200,157, 39)( 14,172,100, 82)( 15, 28,101,177)( 17,174,198,220)
( 18, 72,212,238)( 19, 22,133,230)( 20,128, 91,162)( 21, 96, 92, 58)
( 23,239,139,240)( 24, 51,191,116)( 25, 78,209, 83)( 26, 32,102,235)
( 27,112,158,176)( 29,148,228, 34)( 30,233, 70,151)( 35,236, 62,226)
( 36,185, 88,126)( 37,147,149,136)( 40,113,137, 67)( 41,105, 89,131)
( 42,188,203,123)( 45, 68,140,145)( 46,132,159,234)( 47,214,160,193)
( 48,120, 80,202)( 49,111,219,175)( 52,155, 54, 71)( 53,169,153,170)
( 56,103,180,114)( 57,183,179,205)( 59,109, 81,222)( 61,146,144, 69)
( 63, 77,232,104)( 65,119, 84,216)( 66,194,195,215)( 73, 94,196,221)
( 74,118,125, 98)( 75, 90,190, 86)( 76,229,186,182)( 79, 95,211,143)
( 85,154,178, 93)( 87,187,206,122)(110,192,173,213)(117,121,207,152)
(124,164,189,142)(129,224,163,184)(130,168,138,201)(150,237,171,227),
( 1, 9,231,112, 31, 98,144)( 2,120, 27,103, 72, 96, 97)( 3, 18,164, 59,
224,222,140)( 4, 22,189, 73, 32, 91, 43)( 5,177,195, 15,108, 41,147)
( 6, 12, 52,197,113,171,168)( 7,183, 86, 71,127,172, 80)( 8,102, 39, 10,
240, 65,143)( 11,117,182,187,185,157,226)( 13,236,217,207,229,122,126)
( 14,190, 38,169, 94,191, 83)( 16, 62, 85, 79,228,163,151)( 17,203, 46, 63,
56,215,134)( 19, 36,216,214, 76,209, 49)( 20,225,165,230,124,196,235)
( 21,146,220,104, 34,227,206)( 23,128,121, 53, 70,199,160)( 24, 78,100, 75,
210,170,221)( 25,219,133, 88,119,193,186)( 26,200, 55,239, 84, 95,156)
( 28, 66,101,141, 89,136,166)( 29,129,233,208, 35,178,211)( 30,204, 47,139,
162,152,153)( 33,118, 61, 64,161,223,176)( 37,179,131,188,154, 50,132)
( 40, 68,110,125,213, 51,130)( 42,159,232,180,194, 99,198)( 44, 82, 48, 60,
205, 90,155)( 45,107,212,142, 81,184,109)( 54,181, 67,150,201,167,218)
( 57,105,123, 93,115,234,149)( 58,135,106,202,158,114,238)( 69,174, 77,148,
237, 87, 92)( 74,192,116,138,137,145,173)],
[[[[]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,-1,4,1,2,-1],[5,-2]]],[[[2,1,1,
1,2,3,1,1],[3,-4]]],[[[2,1,1,1],[2,1,3,-1,1,1,2,2,3,1],[4,3]]],[[[1,1,2,1],[2,
1,1,1,3,1,2,1,3,1],[4,5]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,
1],[5,1,6,2,5,1],[7,2]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[4,-4]]],[[[
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2,5,1]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[5,1,4,1,5,1],[6,2]]],[[[
2,1,1,1,2,3,1,1],[3,2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,
5,-1,2,-1,1,-1,5,-1],[4,1,6,-4,4,-1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,
-4]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[6,1,5,1,6,
-2,5,-1,6,-1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[5,
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1,4,-2,6,1,4,-1,6,1]],[[1,1,2,1],[3,1,2,2,1,1,3,-1,2,-2],[4,-4]]],[[[2,1,1,1,
2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[6,1,5,-1,6,-2,5,1,3,1,5,
1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[6,1,5,1,6,-2,
5,-1,6,-1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,2,
4,-1,6,1,4,1,6,1,4,-2]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,
2,-2],[6,1,4,-2,6,1,4,-1,6,1]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,
1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[8,2,7,-1,8,-1,7,-2]],[[1,1,2,1],[1,-2,3,
-1,2,-1,3,2],[2,1,1,1],[5,1,4,1,5,1],[6,-4]]],[[[1,1,2,1],[3,2,2,3,3,1]]],[[[
1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,
1],[7,1,8,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,1,4,-1,3,-2,2,-1],[5,3]]],[[[
1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[4,2]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,
2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[
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4,1,2,1,1,-1,4,-2,2,-1],[5,3,3,-2]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,
1],[4,1,5,2,4,1,5,-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1]]],[[[1,1,2,1],[1,
-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[4,1,6,1,7,1,
4,1,6,-1,7,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[4,-3]]],[[[2,1,1,1],[2,1,
3,-1,1,1,2,2,3,1],[4,3],[1,1,2,1],[2,1,1,1,6,1,2,1,6,1],[5,1,7,1],[8,1,7,2,5,
1,7,-2,8,-1]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1],[4,5]]],[[[2,1,1,1,2,3,1,1],[1,
1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[3,1,5,-1,6,1,3,1,5,1,6,-1,5,-1]],[[2,1,
1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[5,2,3,1,5,-3,3,-1]]],[[[2,1,
1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,1,5,1],[6,1,3,2,5,-1,6,1,3,
-1,5,-1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[6,1,5,
1,6,1,5,-1,3,-1,5,-2]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,
-1],[3,1,5,1],[3,1,5,-2,3,2,6,2,5,1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,
-1,4,-2,2,-1],[3,2],[6,-2,5,2,3,-1,5,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,
3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,2,6,-1,7,1,6,1,7,1]],[[1,1,2,
1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2,6,1,4,-1,
6,1,4,1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[3,1,
5,-1,6,1,5,1,6,-2]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,
2],[3,1,5,-1,6,-2,5,1,3,1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,
2,-1],[3,2],[6,1,5,1,3,1,5,1,6,1,5,-1,6,1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,
2,1,1,-1,4,-2,2,-1],[3,2],[5,1,6,-1,5,-1,6,-2]]],[[[1,1,2,1],[3,1,2,1,1,-1,3,
-2,2,-1],[4,2]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,
1,1,-2,2,2],[4,2],[6,2],[7,1,8,1,7,1,8,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,
3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[4,1,6,1,7,1,4,1,6,-1,7,1]]],[[[1,
1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,2,4,1,5,-1],[6,2,5,2,4,1,5,-2,6,
-2]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[5,2,4,1,5,-2]]],[[[1,1,2,1],[
3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,1,4,1,6,
2,7,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,
2],[6,2,4,-1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[
4,2],[7,1,6,1,4,1,6,-1,7,1,6,1,4,-1,6,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[
5,1,2,2,1,1,5,-1,2,-2],[6,1,4,1,6,-2,4,-1,6,-1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,
1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[5,1,6,-2,5,1,3,-1]],[[2,1,1,1,2,3,1,1],[1,
1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[6,1,5,1,3,-1,5,1,6,1]]],[[[2,1,1,1,2,3,
1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[5,1,3,-1,5,1,3,3,5,-1]],[[2,1,1,1,2,
3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,1,5,-2,3,2]]],[[[1,1,2,1],[3,1,1,
-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,1],[7,1,4,-2,6,
-1,7,1,6,2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,
-2,2,2],[4,2,6,-1,4,1,6,-1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,
-2,2,-1],[5,1,3,-1,5,-1,3,2,5,-1,3,-1,5,-1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,
1,2,1,1,-1,4,-2,2,-1],[3,2],[3,1,5,1],[6,1,7,1,6,1,7,1]]],[[[1,1,2,1],[1,-2,2,
-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-4,4,-1]],[[2,2],[
2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,
2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,2,6,1,4,2]]],[[[1,1,2,1],[1,-2,2,-1,3,
2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-4,4,-1]],[[1,1,2,1],[
1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2,6,1,4,2,6,
1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[
6,1,4,2,6,1,4,2]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,
-2],[4,2,6,1,4,-1,6,2,4,1]],[[1,1,2,1],[3,1,2,2,1,1,3,-1,2,-2],[4,-4]],[[1,1,
2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,-2,6,1,4,-1,6,
1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,3,5,-2,3,1,5,
3]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[5,1,3,-1,5,-1,3,-2,
5,-1,3,-1,5,-1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[
6,1,5,2,3,-1,5,1,6,1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,
2,-2],[4,1,6,1],[4,2,7,-1,6,-1,7,1,6,1]],[[1,1,2,1],[3,1,2,2,1,1,3,-1,2,-2],[
4,-4]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,-2,6,
1,4,-1,6,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,
-1,5,-1],[6,1,4,-1,6,-2,4,-1,6,-1,4,-2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[
2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-3,6,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,
2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,-1,4,2,6,1,4,1,6,
1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[6,1,4,-1,6,-2,4,-1,6,-1,4,-2]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,
-4]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[
6,1,4,1,6,-1,4,2,6,1,4,1,6,1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,
-2,2,-1],[3,2],[6,-2,5,1,6,-1,5,-1,3,-1,5,-1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[
4,1,2,1,1,-1,4,-2,2,-1],[3,2],[3,1,5,1],[7,1,6,-2,7,-1]],[[2,1,1,1,2,3,1,1],[
1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[3,1,5,-1,6,1,5,1,6,-2]]],[[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,-1,6,
1,7,1,6,2]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]],[[1,1,2,1],[1,-2,2,
-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-4,4,-1]]],[[[2,1,
1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[5,2,3,-1,5,1,6,-2]],[[
2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[6,-2,5,2,3,-1,5,
1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[5,1,3,-1,5,-1,3,-2,
5,-1,3,-1,5,-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,
5,1,1,-2,2,2],[6,3,4,-1,6,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[4,
-3]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[6,1,4,1,6,1],[7,2,4,2]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]]],[[[
1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[7,1,6,-1,4,1,
6,2,4,-1,6,1,7,1]],[[1,1,2,1],[3,1,2,2,1,1,3,-1,2,-2],[4,-4]]],[[[1,1,2,1],[1,
-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,1,4,1,6,2,
7,1,4,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]]],[[[2,1,1,1,2,3,1,1],[
1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[6,1,5,-1,6,1,5,2,6,-1]],[[2,1,1,1,2,
3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,1,5,1,3,1,5,1]]],[[[1,1,2,1],[3,
1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[6,2],[8,1,7,
1,8,1,7,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,
-2,2,2],[6,3,4,-1,6,-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[
5,1,2,1,5,1,1,-2,2,2],[4,2],[7,1,4,1,6,2,7,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,
2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,3,6,-1]]],[[[1,1,2,1],[1,-2,
2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1,4,2,6,1,4,-1,
6,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]]],[[[2,1,1,1,2,3,1,1],[1,1,
2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[6,1,5,-1,6,-1,5,1,3,1]],[[1,1,2,1],[3,1,
2,1,1,-1,3,-2,2,-1],[4,1,1,-1,2,-3,1,-1,2,-1,4,2]]],[[[2,1,1,1,2,3,1,1],[1,1,
2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[3,1,5,1],[6,1,7,1,6,1,7,1]],[[2,1,1,1,2,
3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[6,-2,3,1,5,2]]],[[[1,1,2,1],[
1,-2,3,-1,2,-1,3,2],[2,1,1,1],[5,1,4,-1,5,1,4,-1,5,-3,4,-1]]],[[[1,1,2,1],[3,
1,2,2,1,1,3,-1,2,-2]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,
2,-2],[4,1,6,-1,4,-1,6,1]]],[[[2,1,1,1,2,3,1,1]]],[[[2,2],[2,1,1,1,3,-1,2,-1,
1,-1,3,-1]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[5,-1,4,-1,5,-1]]],[[[
1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2,6,
1,4,1,6,-1,4,1,6,-1,4,1,6,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[4,
-3]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[6,1,4,1,6,1,4,-2,6,2]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]]],[[[
1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,
3,6,1,4,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,
-2,2,2],[4,2],[6,-1,7,1,4,1,6,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,
2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,2,6,-1,4,2]],[[1,1,2,1],[1,-2,2,-1,3,
2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-1,6,2,4,1,6,1]]],[[[1,
1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,
-1],[7,2,4,2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,
1,-2,2,2],[6,3,4,-1,6,-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,
1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,1,4,1,6,2,7,1]],[[1,1,2,1],[3,1,1,-1,2,-1,
3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,3,6,1,4,-1]]],[[[2,1,1,1,
2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[5,1,3,1,5,1,3,-2,5,2,3,1]],[[2,1,
1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[6,1,5,-1,6,-1,5,1,3,
1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[3,1,5,-1,6,
1,5,1,6,-2]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[5,1,3,-1,
5,1,3,3,5,-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,
1,-1,5,-1],[4,1,6,1],[6,1,7,2,4,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,
-4]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[5,1,3,1,6,
1,5,-1,6,-1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2,5,-1,
3,1,5,2]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[6,-2,
5,1,6,-1,5,-1,3,-1,5,-1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,
-1],[3,1,5,-2,3,2]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[
3,2],[3,1,5,-1,6,1,3,1,5,1,6,-1,5,-1]],[[1,1,2,1],[3,1,2,1,1,-1,3,-2,2,-1],[4,
1,2,1,1,1,2,3,1,1],[4,1,5,-2,4,-1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,
2,2,1,1,5,-1,2,-2],[4,1,6,-1,4,2,6,1,4,-1,6,-1]],[[1,1,2,1],[3,2,2,3,3,1],[1,
1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,1],[6,1,7,-1,4,2,7,1]]],[[[2,1,1,1,2,3,
1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[5,1,3,1,6,-2,5,-1,6,1]],[[2,1,
1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[5,-1,6,-1,5,1,6,
-1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[6,-2,5,-1,
6,1,5,1,3,1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,1,5,
1],[6,1,3,-2,5,1,6,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,
1,2,1,5,1,1,-2,2,2],[4,2],[7,1,6,1,7,-1,6,1,4,1,7,1]],[[1,1,2,1],[3,1,1,-1,2,
-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,3,6,1,4,-1]]],[[[2,1,
1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[6,1,5,1,3,1,5,1,6,1,5,
-1,6,1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[6,-2,5,
-1,6,1,5,1,3,1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,
2],[6,1,5,-1,6,1,5,1,3,1,6,1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,
-2,2,-1],[5,1,3,-1,5,3,3,1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,
-2,2,-1],[5,1,3,-1,5,-1,3,2,5,-1,3,-1,5,-1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,
1,2,1,1,-1,4,-2,2,-1],[3,2],[3,1,5,-1,6,1,5,1,6,-2]]],[[[1,1,2,1],[1,-2,3,-1,
2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[7,2],[9,1,8,1,9,-1,
8,1,9,1]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[
5,1,4,1,5,1],[8,1,7,1],[8,1,9,1,8,1,9,1]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[
2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[7,2],[9,1,8,1,9,-1,8,1,9,
1]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,
1,5,1],[8,1,7,-2,8,-1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,
-1],[3,2],[6,-2,5,1,6,1,5,-1,6,1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,
4,-2,2,-1],[5,2,3,1,5,-1,3,1,5,-1]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,
1,4,-2],[5,-2]]],[[[1,1,2,1],[1,-2,2,-2,3,2,2,2,1,1],[4,2]]],[[[1,1,2,1],[3,2,
2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[4,1,6,2],[7,1,8,1,7,1,8,
-1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,1],[4,
2,7,-1,6,-1,7,1,6,1]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,2,4,
1,5,-1],[5,2,4,1,5,-2,6,1],[6,1,7,2,6,-1,7,-2]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,
2],[2,1,1,1],[5,2,4,1,5,-2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,
1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-1,6,1,4,2,6,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,
2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,1,4,1]]],[[[1,1,2,1],[
2,1,1,1],[2,1,3,1,4,-1,3,-1,4,1,2,-1],[1,1,2,1],[1,-2,2,-2,6,2,2,2,1,1],[5,-1,
7,-1,5,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,-1,4,1,2,-1]]],[[[1,1,2,
1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,-1,6,-1,4,1,6,
1]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[6,2,5,3,4,1],[7,
-2]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1]]],[[[1,1,2,1],[3,1,2,1,1,-1,3,
-2,2,-1],[1,-1,2,-3,1,-1,2,-1,4,-2]]],[[[1,1,2,1],[3,1,2,1,1,-1,3,-2,2,-1],[2,
1,1,1,2,3,1,1,4,-1]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,
1,6,2,5,1],[5,1,4,1,5,1],[8,1,7,1,8,2,7,2]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[
2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[7,1,8,-2]]],[[[1,1,2,1],[1,-2,
3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[7,2],[9,1,7,1,
8,1,9,1,8,2]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,
1],[5,1,4,1,5,1],[7,1,8,-2]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,
-2,2,-1],[3,2],[3,1,5,1],[6,1,7,-1,5,1,7,1,6,1]],[[2,1,1,1,2,3,1,1],[1,1,2,
1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[5,-1,6,-2,5,1]]],[[[1,1,2,1],[1,-2,2,-1,3,
2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-1,4,-2,6,2,4,1]],[[1,
1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,
-1],[7,2,6,-1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,
2],[6,-2,5,1,6,-1,5,-1,3,-1,5,-1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,
4,-2,2,-1],[3,2],[5,1,3,1,6,1,5,-1,6,-1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,
2,1,1,-1,4,-2,2,-1],[3,2],[3,1,5,-1,6,1,5,1,6,-2]],[[2,1,1,1,2,3,1,1],[1,1,2,
1],[4,1,2,1,1,-1,4,-2,2,-1],[5,1,3,1],[6,1,3,2,6,1]]],[[[2,1,1,1,2,3,1,1],[1,
1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[6,1,5,1,3,1,5,1,6,1,5,-1,6,1]],[[2,1,1,
1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[5,1,3,1,6,1,5,-1,6,
-1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[6,1,5,1,3,
1,5,1,6,1,5,-1,6,1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,
1,5,-1,3,1,5,-1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,
-2],[4,2],[7,2,6,1,7,1,6,-2]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,
5,-1,2,-2],[6,1,4,-2,6,1,4,-1,6,1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,
-1,4,-2,2,-1],[3,2],[3,1,5,-1,6,1,5,1,6,-2]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,
1,2,1,1,-1,4,-2,2,-1],[5,1,3,2,5,-2,3,-1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,
1,2,1,1,-1,4,-2,2,-1],[3,2],[3,1,5,1],[5,1,7,1,6,-1,7,1,6,-1]],[[2,1,1,1,2,3,
1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[6,1,3,1,5,-1,6,1,5,1,6,1]]],[[[
2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[6,1,5,1,3,1,5,1,6,
1,5,-1,6,1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[3,1,
5,-1,6,-2,5,-1,6,-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,
-1,2,-1,1,-1,5,-1],[4,2],[7,1,6,-1,4,1,6,2,7,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,
2,1,-1],[4,-3]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[
4,-2,6,-1,4,1,6,2]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,
-2],[6,1,4,1,6,-1,4,2,6,1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,
5,-1,2,-2],[4,1,6,1],[4,2,7,2]],[[1,1,2,1],[3,1,2,2,1,1,3,-1,2,-2],[4,
-4]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,-1,4,1,2,-1],[1,1,2,1],[1,-2,2,-2,
6,2,2,2,1,1],[5,1,7,1],[5,1,7,-1,8,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,
-1,4,1,2,-1],[5,-2]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,
-2],[4,2],[7,2,6,1,7,1,6,-2]],[[1,1,2,1],[3,1,2,2,1,1,3,-1,2,-2],[4,-4]]],[[[
1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,1,6,-1,4,1,6,
-1,4,-2]],[[1,1,2,1],[3,1,2,2,1,1,3,-1,2,-2],[4,-4]]],[[[2,1,1,1,2,3,1,1],[1,
1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[6,1,3,1,5,1,6,1,5,1,3,-1]],[[2,1,1,1,2,
3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[6,-2,5,-1,6,1,5,1,6,1]]],[[[
1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,
-2,4,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[6,2,4,-2]]],[[[1,1,2,1],[3,1,2,1,1,-1,3,-2,2,-1]]],[[[2,1,1,1,2,3,1,1],[
1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[6,1,5,-1,6,1,5,1,3,1,6,1]],[[2,1,1,1,
2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[6,-2,5,-1,6,1,5,1,3,
1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[5,1,6,-2,5,
2,3,-1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[5,1,3,1,5,1],[
3,2,6,-2]]],[[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,
2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-4,4,-1]],[[2,2],[2,1,1,1,
3,-1,2,-1,1,-1,3,-1],[4,-4]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,
1,5,-1,2,-1,1,-1,5,-1],[6,1,4,2,6,1,4,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,
-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2,6,1,4,2,6,1]]],[[[1,1,2,1],[3,2,
2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2,6,1,4,-1,6,2,4,1]],[[1,1,2,
1],[3,1,2,2,1,1,3,-1,2,-2],[4,-4]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,
2,1,1,5,-1,2,-2],[4,1,6,1],[6,1,7,2,4,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[
5,1,2,2,1,1,5,-1,2,-2],[6,1,4,-2,6,1,4,-1,6,1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,
1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[7,1,6,1,4,2,6,1,7,1,6,1]],[[1,1,2,1],[3,
1,2,2,1,1,3,-1,2,-2],[4,-4]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,
5,-1,2,-2],[6,2,4,1],[4,1,6,1,7,-1,4,2,7,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,
1],[5,1,2,2,1,1,5,-1,2,-2],[4,2,6,-1,4,1,6,1,4,1,6,-1]]],[[[1,1,2,1],[1,-2,2,
-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,-1,4,2,6,1,4,
1,6,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]],[[1,1,2,1],[1,-2,2,-1,3,
2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-4,4,-1]],[[1,1,2,1],[
1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,2,4,-1,6,2,4,
1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,1,6,-4,4,-1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]],[[1,1,2,1],[
1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,2,6,1,4,
2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[
6,2,4,-1,6,2,4,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,
1,5,1,1,-2,2,2],[6,2,4,3,6,-2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[4,
-3]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[
4,2],[6,-1,7,1,4,1,6,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,
5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,1],[7,2,4,2]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,
3,-1],[4,-4]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,
-1,5,-1],[6,1,4,1,6,1],[4,2,7,2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,
2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[6,1,4,1,6,1],[8,1,7,-1,8,1,7,-1]],[[2,
2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[
2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,1],[4,2,7,2]]],[[[2,1,1,1,2,3,1,
1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,1,5,1],[5,1,6,1,3,-2,6,1,5,1]],[[2,1,
1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,1,5,-1,3,-3]],[[2,1,1,1,2,
3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[5,-1,3,1,5,1,6,-1]]],[[[1,1,
2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,2,4,
-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[
4,-1,6,2,4,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]]],[[[1,1,2,1],[3,2,
2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[7,1,6,-1,7,1,6,1,4,1,6,1,7,
1]],[[1,1,2,1],[3,1,2,2,1,1,3,-1,2,-2],[4,-4]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,
2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,-1],[7,1,6,1,7,1,6,1]]],[[[1,1,2,1],[3,2,
2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,-1,6,1,4,2,6,-2,4,-1]],[[1,
1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,1,6,-1,4,2,6,
1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,1],[7,2,
6,1,4,-1,7,-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,
1,1,-2,2,2],[4,2],[4,1,6,1,7,1,4,1,6,-1,7,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,
1,3,1],[4,-3]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,
1,-2,2,2],[6,1,4,3,6,-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,
1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,1],[7,1,4,2,7,1]],[[2,2],[2,1,1,1,3,-1,2,-1,
1,-1,3,-1],[4,-4]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,
-1,1,-1,5,-1],[4,2,6,1,4,2,6,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[
2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[6,1,4,1,6,1],[8,1,7,-1,8,1,7,-1]],[[2,2],[
2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,
2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,2,4,-1,6,2,4,1]]],[[[1,1,2,1],[3,1,1,-1,2,
-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[6,1,4,1,6,1],[8,1,7,1,
8,1,7,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,
2,2],[6,1,4,3,6,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,
1,5,1,1,-2,2,2],[4,2],[4,1,6,1,7,1,4,1,6,-1,7,1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,
1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[6,1,5,-2,3,1,5,1,6,1]],[[1,1,2,1],[3,1,2,1,
1,-1,3,-2,2,-1],[4,4,2,1,1,1,2,3,1,1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,
1,-1,4,-2,2,-1],[5,1,3,1,5,1],[3,2,6,2]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,
2,1,1,-1,4,-2,2,-1],[3,1,5,1],[5,1,6,1,3,-2,6,1,5,1]],[[2,1,1,1,2,3,1,1],[1,1,
2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,1,5,-1,3,-3]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[
4,1,2,1,1,-1,4,-2,2,-1],[5,1,3,2,5,-1,3,2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,
-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,1,6,1,4,1,6,-1,7,-1,6,-1,4,
-1,6,-1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]],[[1,1,2,1],[1,-2,2,-1,
3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1],[6,1,7,-2,4,2,6,1,
7,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,1,6,1],[6,1,4,1],[8,1,7,2,8,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[
4,-4]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[6,1,4,-1,6,1,4,-3,6,1,4,-1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,
2,1,1,5,-1,2,-2],[4,2],[4,1,6,1],[8,1,7,-1,8,1,6,1,7,1]],[[1,1,2,1],[3,2,2,3,
3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,-1,6,2,4,1,6,-1]],[[1,1,2,1],[3,
2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,-1,4,2,6,1,4,-1,6,
-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,
2],[4,2],[7,1,4,1,6,-1,7,1,4,1,6,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[
1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,1,6,-1,4,-1,7,-1,6,1,7,-1]],[[1,1,2,
1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,1,4,
1,6,1,7,-1,4,-1,6,-1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,
2,-2],[6,1,4,-1,6,1,4,2,6,-2,4,-1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,
2,1,1,5,-1,2,-2],[4,2,6,-2,4,1,6,-1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,
2,2,1,1,5,-1,2,-2],[6,1,4,1,6,-1,4,2,6,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,
-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,1],[7,2,4,2]],[[1,1,2,1],[
1,-2,2,-1,3,2,2,2,1,-1],[4,-3]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,
1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-1],[7,2,6,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,
2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,2,4,-3,6,2]],[[1,1,2,1],[1,
-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1,4,-2,6,
-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[
4,-3,6,-4]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,
4,-1,6,1,4,2,6,-2,4,-1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,
2,-2],[6,1,4,1,6,-1,4,2,6,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,
5,-1,2,-2],[6,1,4,-1,6,-1,4,1,6,-1,4,2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,
-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[6,1,4,1,6,1],[8,1,7,-1,8,1,7,
-1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]],[[1,1,2,1],[1,-2,2,-1,3,2,2,
2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,1,6,-1,4,1,6,1,7,1]]],[[[
1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[
6,1,4,1,6,1],[8,1,7,-1,8,1,7,-1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,
-4]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[
4,2],[7,1,6,1,4,1,7,1,6,-1,7,-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,
2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,1,4,-2,6,2]],[[2,2],[2,1,1,1,3,-1,
2,-1,1,-1,3,-1],[4,-4]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,
-1,2,-1,1,-1,5,-1],[4,2],[6,-1,7,1,4,1,6,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,
1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,1,6,-1,7,-1,4,1,6,1]],[[2,
2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[
2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,2,4,2,6,-1,4,-1,6,-1]]],[[[1,1,2,1],[1,
-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,1,6,-1,4,1,
6,1,7,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]],[[1,1,2,1],[1,-2,2,-1,
3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-1,6,1,4,2,6,
-2]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[6,1,3,1,5,
1,6,1,5,1,3,-1]],[[1,1,2,1],[3,1,2,1,1,-1,3,-2,2,-1],[4,1,2,1,1,1,2,3,1,1],[4,
1,5,-2,4,-1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[6,
1,5,1],[6,1,7,-2,6,-1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,
-1],[3,2],[3,1,5,-1,6,1,3,1,5,1,6,-1]],[[1,1,2,1],[3,1,2,1,1,-1,3,-2,2,-1],[4,
1,2,1,1,1,2,3,1,1],[4,1,5,-2]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,
-2,2,-1],[3,2],[3,1,5,1,6,-1,3,1,5,-1,6,1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,
1,2,1,1,-1,4,-2,2,-1],[3,2],[5,2,6,-2,5,-1,3,-1]],[[2,1,1,1,2,3,1,1],[1,1,2,
1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[5,-1,6,1,5,-1,6,1]],[[2,1,1,1,2,3,1,1],[1,
1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2,5,1,3,2,5,1]]],[[[2,1,1,1,2,3,1,1],[1,1,
2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[6,-2,5,1,6,-1,5,-1,3,-1,5,-1]],[[2,1,1,1,
2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,1,5,1,3,-2,5,-1]],[[2,1,1,1,2,
3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[5,2,3,1,5,1,3,-1,5,1]]],[[[1,1,2,
1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,1,6,
1,7,-1,6,1,4,1,7,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,
1,5,1,1,-2,2,2],[6,1,4,3,6,1,4,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,
1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,1],[6,1,7,-1,6,1,7,1]]],[[[2,1,1,1,2,3,1,
1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[5,1,3,-1,5,1,6,-2,5,1]],[[2,1,1,
1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[5,1,3,-1,5,-1,3,3]],[[2,1,1,1,
2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[3,1,5,-1,6,-2,3,1,5,
1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[5,1,3,-1,5,-1,3,
2,5,-1,3,-1,5,-1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,
2],[6,-2,3,1,5,2]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,
2],[3,1,5,1],[6,1,7,1,6,1,7,1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,
4,-2,2,-1],[3,2],[3,1,5,1],[7,1,6,-2,7,-1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,
2,1,1,-1,4,-2,2,-1],[3,1,5,-2,3,2]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,
-1,4,-2,2,-1],[5,1,3,-1],[6,1,3,-2,5,-1,6,-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,
2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1,4,2,6,1,4,1]],[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-1,6,2,
4,1,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,2],[6,-1,7,1,6,-1,7,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,
1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[6,1,4,1,6,1],[8,1,7,-1,8,1,7,-1]],[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,-1,6,2,4,
1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,
2],[6,2,4,2,6,1,4,-1,6,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[
5,1,2,1,5,1,1,-2,2,2],[4,2,6,-2,4,-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,
1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[6,-1,7,1,4,1,6,1]],[[1,1,2,1],[3,1,
1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2,6,-1,4,1,6,
-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,
2],[6,3,4,-1,6,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,
5,1,1,-2,2,2],[4,-1,6,-1,4,1,6,-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[
1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,1,6,1],[7,1,8,2,7,-1]],[[1,1,2,1],[3,
1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,2,4,-2,6,1,4,1,6,
1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,
2],[4,2],[7,1,6,1,7,-1,6,1,4,-1,7,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,
1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,2,4,-2,6,1,4,1,6,1]]],[[[1,1,2,1],[3,1,
1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2,6,-3,4,-1,6,
-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[
4,2,6,1,4,2,6,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,
5,1,1,-2,2,2],[6,1,4,1,6,1,4,2,6,1,4,1,6,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,
1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[6,-1,7,1,4,1,6,1]]],[[[1,1,2,
1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,1],[7,
2,4,-2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,
2],[4,-1,6,2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,
1,-1,5,-1],[4,2],[6,1,7,1],[7,1,8,-1,7,1,8,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,
1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,2,4,-1,6,2,4,1]],[[2,2],[2,1,1,1,
3,-1,2,-1,1,-1,3,-1],[4,-4]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,
1,1,5,-1,2,-1,1,-1,5,-1],[6,2,4,-1,6,2,4,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,
-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,1,6,-1,7,1,6,1]],[[2,2],[2,1,
1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[
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2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,2,4,-1,6,2,4,1]],[[
2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,
-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,1,4,-2,6,2]],[[2,2],[2,1,1,
1,3,-1,2,-1,1,-1,3,-1],[4,-4]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,
1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1,4,2,6,1,4,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,
2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,2,6,1,4,2]],[[1,1,2,1],[1,
-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,2,4,-1,6,
-2]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]]],[[[1,1,2,1],[3,2,2,3,3,1],[
1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,-1,4,2,6,1,4,-1,6,-1]],[[1,1,2,1],[3,
2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,1],[6,1,7,-1,4,2,7,1]],[[
1,1,2,1],[3,1,2,2,1,1,3,-1,2,-2],[4,-4]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,
1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,-1,4,2,6,1,4,-1,6,-1]],[[1,1,2,1],[3,2,2,3,
3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,2,4,1,6,-1,4,2]],[[1,1,2,1],[3,1,2,
2,1,1,3,-1,2,-2],[4,-4]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,
5,-1,2,-1,1,-1,5,-1],[6,1,4,2,6,1,4,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[
2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1],[7,1,4,1,6,1,7,1]],[[2,2],[2,1,1,
1,3,-1,2,-1,1,-1,3,-1],[4,-4]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,
-2,2,-1],[3,2],[3,1,5,-1,6,1,3,1,5,1,6,-1,5,-1]],[[1,1,2,1],[3,1,2,1,1,-1,3,
-2,2,-1],[4,1,2,1,1,1,2,3,1,1],[4,1,5,-2,4,-1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[
4,1,2,1,1,-1,4,-2,2,-1],[3,2],[6,1,3,1,5,1,6,1,5,1,3,-1]]],[[[1,1,2,1],[3,2,2,
3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,1],[6,1,7,-1,4,2,7,1]],[[1,1,
2,1],[3,1,2,2,1,1,3,-1,2,-2],[4,-4]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,
2,2,1,1,5,-1,2,-2],[6,2,4,1,6,-1,4,2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[
2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,2,4,-1,6,2,4,1]],[[1,1,2,1],[1,-2,2,-1,
3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,2,4,-1,6,-2]],[[2,
2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,
-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[4,1,6,1,7,-1,6,1,4,1,7,1]],[[2,
2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[
2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,2,6,1,4,2]]],[[[1,1,2,1],[1,-2,2,-1,
3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,2,4,-1,6,2,4,1]],[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,1,6,
-1,7,1,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,
-1,5,-1],[4,2],[7,-1,6,-1,4,1,6,1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,
2,2,1,1,5,-1,2,-2],[4,2],[7,1,6,-1,7,1,6,2,4,-1]],[[1,1,2,1],[3,2,2,3,3,1],[1,
1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[7,2,6,2,4,1]],[[1,1,2,1],[3,2,2,3,3,1],[
1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,-1,4,-2,6,1,4,-1,6,1]]],[[[1,1,2,1],[
1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,1],[7,
1,4,2,7,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]],[[1,1,2,1],[1,-2,2,
-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,-1,6,1,7,1,6,
2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[6,1,4,-1,6,-1,4,2,6,1,4,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[
2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,1,6,-1,7,-1,6,2]],[[2,2],[2,1,1,1,3,-1,
2,-1,1,-1,3,-1],[4,-4]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,
5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,1,4,-2,6,2]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,
-1],[4,-4]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,
5,-1],[4,2],[7,-1,6,-1,4,1,6,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[
2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,1,6,1,4,1,7,1,6,-1,7,-1]],[[2,2],[2,1,1,
1,3,-1,2,-1,1,-1,3,-1],[4,-4]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,
1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[6,1,7,1],[7,1,8,-1,7,1,8,1]]],[[[2,1,1,1,2,3,
1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[5,2,3,-1,5,1,6,-2]],[[2,1,1,1,
2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,1,5,1],[6,1,5,2,6,1,3,-2]],[[2,
1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[3,1,5,-1,6,-1,5,1,6,
1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,-1,4,
-2,6,1,4,-1,6,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[
4,1,6,1],[7,1,6,1,7,1,6,1]],[[1,1,2,1],[3,1,2,2,1,1,3,-1,2,-2],[4,-4]]],[[[1,
1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[4,
1,6,2,7,1,6,1,4,1,7,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]],[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,1,6,
1,4,1,7,1,6,-1,7,-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,
-1,2,-1,1,-1,5,-1],[4,2],[7,1,4,1,6,2,7,1,6,1,4,1]],[[1,1,2,1],[1,-2,2,-1,3,2,
2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,1,6,3,4,1,6,1,7,1]],[[
2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,
1,2,1,1,-1,4,-2,2,-1],[3,2],[6,1,5,-1,6,1,5,1,3,1,6,1]],[[2,1,1,1,2,3,1,1],[1,
1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[5,1,3,-1,5,1,3,3,5,-1]],[[2,1,1,1,2,3,1,1],[
1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[3,1,5,1],[7,1,6,-2,7,-1]]],[[[2,1,1,
1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[6,1,5,1,3,1,5,1,6,1,5,-1,
6,1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[5,-1,6,-1,
5,1,6,-1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[6,1,3,
1,5,-1,6,1,5,1,6,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,
-1,2,-1,1,-1,5,-1],[4,1,6,-4,4,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,
2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,3,4,-2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,
-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,2,6,1,4,2]]],[[[1,1,2,1],[1,-2,
2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[4,1,6,2],[7,1,8,
2,7,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,2]],[[1,1,2,1],[1,-2,2,-1,3,2,
2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-1,4,2,6,1,4,1]]],[[[1,1,
2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,2],[7,1,4,1,6,1,7,1,4,
2]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,1],[6,1,
7,-1,4,2,7,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,
1,6,-1,4,2,6,1,4,-1,6,-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,
1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1,4,2,6,1,4,-1,6,1]],[[2,2],[2,1,1,1,3,-1,2,-1,
1,-1,3,-1],[4,-4]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,
-1,1,-1,5,-1],[4,2,6,1,4,2,6,1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,
4,-2,2,-1],[3,2],[3,1,5,-1,6,-1,5,1,6,1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,
1,1,-1,4,-2,2,-1],[5,1,3,1,5,1],[6,1,3,2,6,1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[
4,1,2,1,1,-1,4,-2,2,-1],[3,2],[5,1,3,1,6,1,5,-1,6,-1]]],[[[2,1,1,1,2,3,1,1],[
1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[5,1,3,-1,5,-1,3,2,5,-1,3,-1,5,-1]],[[2,1,1,
1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[5,1,3,-4,5,-1]],[[2,1,1,1,2,3,
1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[3,1,5,-1,6,1,5,1,6,-2]]],[[[1,
1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,1],[6,1,7,1],[4,
2,8,-2,7,-1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,
6,-1,4,2,6,-1,4,1,6,1]],[[1,1,2,1],[3,1,2,2,1,1,3,-1,2,-2],[4,-4]]],[[[1,1,2,
1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,-1,4,2,6,1,4,-1,6,
-1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,2,4,1,6,-1,
4,2]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,1],[6,
1,7,-1,4,2,7,1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,
2],[5,2,6,-2,5,-1,3,-1]],[[2,1,1,1,2,3,1,1],[3,-4]],[[2,1,1,1,2,3,1,1],[1,1,2,
1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2,5,1,3,2,5,1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,
1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[3,1,5,1],[6,1,7,1,6,1,7,1]],[[2,1,1,1,2,3,
1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[5,1,3,-4,5,-1]],[[2,1,1,1,2,3,1,1],[
1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[6,-2,3,1,5,2]]],[[[1,1,2,1],[1,-2,2,
-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,-3,6,-4]],[[1,1,2,1],[
1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1,4,2,6,1,
4,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,
2],[4,2],[4,1,6,1,7,1,4,1,6,-1,7,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[
1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2,6,2]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,
1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,1,6,-1,4,1,6,1,4,2]],[[1,1,2,
1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2,6,-2,4,
-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,
2],[4,2],[4,1,6,1],[8,1,7,1,8,1,7,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,
1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2,6,1,4,1,6,1]]],[[[1,1,2,1],[3,1,1,-1,
2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[6,2,7,1,6,-1,4,-1,6,
-1,7,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,
2,2],[4,1,6,-1],[4,2,7,2]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,
5,-1,2,-2],[4,1,6,2,4,1,6,-1,4,2]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,
2,1,1,5,-1,2,-2],[4,2],[7,1,6,2,7,-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,
1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,1,4,-2,6,1,4,1]],[[1,1,2,1],[3,1,1,
-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,3,6,-1]]],[[[1,1,
2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,-2,6,1,4,-1,6,
1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,2,4,
-1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[7,1,
4,1,6,2,7,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,2,
4,2,6,1,4,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,
1,-2,2,2],[4,2],[6,2],[7,1,8,1,7,1,8,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,
1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,2,4,2]]],[[[2,1,1,1,2,3,1,1],[1,1,2,
1],[4,1,2,1,1,-1,4,-2,2,-1],[5,1,3,-1,5,-1,3,2,5,-1,3,-1,5,-1]],[[2,1,1,1,2,3,
1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,3,5,1]]],[[[2,1,1,1,2,3,1,1],[1,1,
2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[6,-2,5,-1,6,1,5,1,3,1]],[[2,1,1,1,2,3,1,
1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[5,1,6,-1,5,-2,6,-1]]],[[[2,1,1,1,
2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[5,1,6,1,5,1,3,1,6,1]],[[1,
1,2,1],[3,1,2,1,1,-1,3,-2,2,-1],[4,1,2,1,1,1,2,3,1,1],[4,1,5,-2,4,-1]]],[[[1,
1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[4,
1,6,-1,7,1,6,1,7,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,
1,5,1,1,-2,2,2],[4,2,6,1,4,2,6,1]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,
1],[4,1,5,1],[5,1,6,2,5,1],[7,2,5,1,4,1,5,1,7,1]],[[1,1,2,1],[1,-2,3,-1,2,-1,
3,2],[2,1,1,1],[5,1,4,1,5,1],[6,2]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[
1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,1,6,-1,7,2,6,1,4,-1]],[[1,1,2,1],[3,
1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2,6,1,4,2,6,
1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,1,6,1],[7,1,4,-1,6,-1,7,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[
2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-1,6,1,4,1,6,1,4,-1]]],[[[1,1,2,1],[3,2,2,
3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,-1,6,1,4,2,6,-2,4,-1]],[[1,1,
2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,-2,6,1,4,1,6,-2]]],[[[
1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,
1,4,-1,6,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,
-2,2,2],[6,2,4,-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,
2,-1,1,-1,5,-1],[6,1,4,-1,6,1,4,-1,6,1,4,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,
-1],[4,-4]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,
-1,5,-1],[6,1,4,-2,6,1,4,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]]],[[[
1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[
4,1,6,1,7,1,6,1,7,-1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]]],[[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,2,4,1,6,2,
4,2]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]]],[[[1,1,2,1],[1,-2,2,-1,3,
2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1,4,-1,6,1,4,-1,6,-1,4,
-2]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]]],[[[1,1,2,1],[1,-2,2,-1,3,2,
2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1],[6,1,7,1,4,2,7,1]],[[
2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,
-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-1,4,-3,6,2]],[[2,2],[2,1,1,1,
3,-1,2,-1,1,-1,3,-1],[4,-4]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,
-2,2,-1],[3,2],[6,1,5,1],[6,1,7,-2,6,-1]],[[1,1,2,1],[3,1,2,1,1,-1,3,-2,2,
-1],[4,2,2,1,1,1,2,3,1,1,4,-1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,
4,-2,2,-1],[3,2],[5,1,3,1,5,1],[7,1,6,-2,7,-1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[
4,1,2,1,1,-1,4,-2,2,-1],[3,2,5,3,3,-1,5,-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,
1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1],[4,2,7,2,6,1]],[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-3,6,
-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[6,1,4,2,6,-1,4,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,
-1,2,-1,1,-1,5,-1],[6,2,4,-3]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,-1,4,1,
2,-1],[1,1,2,1],[1,-2,2,-2,6,2,2,2,1,1],[5,1,7,1],[8,2,7,2,8,1]],[[1,1,2,1],[
1,-2,2,-2,3,2,2,2,1,1],[4,5]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,-1,4,1,2,
-1],[1,1,2,1],[1,-2,2,-2,6,2,2,2,1,1],[5,1,7,1],[5,1,7,-1,8,1,7,1,8,2]],[[1,1,
2,1],[1,-2,2,-2,3,2,2,2,1,1],[4,5]]],[[[1,1,2,1],[3,1,2,1,1,-1,3,-2,2,-1],[4,
2,2,1,1,1,2,3,1,1,4,-2]],[[1,1,2,1],[3,1,2,1,1,-1,3,-2,2,-1],[4,-1,1,-1,2,-3,
1,-1,2,-1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,
4,1,6,1,4,2,6,-1,4,1,6,-1]],[[1,1,2,1],[3,1,2,2,1,1,3,-1,2,-2],[4,-4]]],[[[2,
1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[6,1,5,-1,3,-1,5,-1,6,
-1,3,-1,5,-1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[5,2,3,1,
5,1,3,1,5,1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,
1,6,1],[6,1,7,1,4,-2,7,-1]],[[1,1,2,1],[3,1,2,2,1,1,3,-1,2,-2],[4,-4]]],[[[2,
1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[3,1,5,-1],[7,1,6,-2,
7,-1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,1,5,1],[3,2,5,
1,6,2,5,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,
-1,5,-1],[4,1,6,1],[7,2,4,-1,6,-1,4,-2]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,
-1],[4,-4]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,
-2,2,2],[4,2],[4,1,6,1],[8,1,7,1,8,1,7,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,
3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,-2,6,1,4,-1]]],[[[1,1,2,1],[3,1,
1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,1,6,1,4,-1,6,
1,7,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,
2],[4,2],[6,-1,7,1,6,1,4,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,
1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,1,6,-1,7,1,6,-1,4,-1]],[[1,1,2,1],[3,1,1,
-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,-1,6,2]]],[[[1,1,2,
1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,2,6,
-1,4,1,6,-1,7,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,
1,1,-2,2,2],[4,2,6,-1,4,1,6,-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[
2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2,6,-1,4,-1,6,-1,4,-1,6,-1]],[[1,1,2,1],[1,-2,
2,-1,3,2,2,2,1,-1],[4,-3]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,
1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-1,6,1,4,2,6,-2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,
1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-1,4,-1,6,2]]],[[[1,1,2,1],[
3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[4,1,6,1],[
8,1,7,1,8,1,7,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,
5,1,1,-2,2,2],[4,3,6,3,4,-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,
1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,-1,6,-1,4,-2,6,-2]],[[1,1,2,1],[3,1,1,-1,2,
-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2,6,1,4,-1,6,1,4,1]]],[[[
1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[7,2,6,1,7,-1,
6,-1,4,-1,6,-1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[
6,1,4,-1,6,-1,4,1,6,-1,4,2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,
1,1,5,-1,2,-1,1,-1,5,-1],[6,2,4,2,6,-1,4,-1,6,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,
2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-1],[7,2,6,-1]]],[[[1,1,
2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,2,6,
-1,4,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,2],[7,-1,6,-1,4,1,6,1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,
-2,2,-1],[3,2],[6,1,5,1,3,1,5,1,6,1,5,-1,6,1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[
4,1,2,1,1,-1,4,-2,2,-1],[5,1,3,-4,5,-1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,
1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,-1,6,1,4,1,6,2,4,2]],[[1,1,2,1],[3,2,2,3,3,
1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2,6,1,4,-1,6,2,4,1]]],[[[2,1,1,1,2,3,
1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[6,1,5,-1,3,-1,5,1,3,1,6,1]],[[
2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[5,1,3,1,6,1,5,-1,6,
-1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[6,1,5,1],[
6,1,7,-2,6,-1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[
5,1,6,1,5,1,3,1,6,1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,
2,-2],[4,2],[4,1,6,-1,7,-1,6,1,7,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,
2,2,1,1,5,-1,2,-2],[4,2,6,1,4,-1,6,2,4,1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,
1,2,1,1,-1,4,-2,2,-1],[3,2],[5,1,3,1,6,1,5,1,3,1,5,1,6,1]],[[2,1,1,1,2,3,1,
1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[3,1,5,-1,6,1,5,1,6,-2]]],[[[1,1,
2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[7,
2],[9,1,7,1,8,-2,9,-1]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[
5,1,6,2,5,1],[5,1,4,1,5,1],[7,-1,8,2]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,
1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[7,1,8,-1,7,2,8,1]],[[1,1,2,1],[1,
-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[8,1,7,-2,8,
-1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[5,1,6,1,5,
-1,6,-2]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[5,2,6,
-1,5,-1,6,-1]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,
5,1],[5,1,4,1,5,1],[7,2,8,-1,7,-1,8,1,7,1]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[
2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[8,1,7,1,8,-1]]],[[[1,1,2,1],[
1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[8,1,7,1,
8,1,7,-3,8,-2]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,
5,1],[5,1,4,1,5,1],[8,2,7,-1,8,-1,7,-2]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,
1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[8,1,7,-1,8,2,7,2]]],[[[1,1,2,1],[
1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-1,6,-1,4,
2,6,1,4,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,
-1,5,-1],[4,1,6,-1],[7,1,6,-1,7,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,
2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,-3,6,1,4,-1,6,-1]]],[[[1,1,2,1],[1,-2,3,
-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[7,2],[8,2,9,-1,
8,-1,9,1]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[
5,1,4,1,5,1],[7,1,8,2,7,-1,8,-1]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[
4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[8,1,7,1,8,1,7,1,8,-1,7,2]]],[[[1,1,2,
1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[7,
2],[8,2,9,-1,8,-1,9,1]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[
5,1,6,2,5,1],[5,1,4,1,5,1],[8,1,7,-2,8,-1]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[
2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[7,1,8,2,7,-1,8,-1]]],[[[2,1,1,
1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[6,1,5,1,3,1,5,1,6,1,5,-1,
6,1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[5,1,6,-1,5,
-1,6,-2]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[5,2,3,
1],[6,1,7,1,6,1,7,1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,
-1],[3,2],[5,1,3,1,6,-2,5,-1,6,1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,
4,-2,2,-1],[3,2],[3,1,5,-1,6,-1,5,1,6,1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,
1,1,-1,4,-2,2,-1],[3,2],[3,1,5,-1,6,1,5,1,6,-2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,
2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,-1,6,1,7,1,6,2]],[[1,1,
2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2,6,1,4,
1,6,1,4,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,
-1,5,-1],[4,1,6,1],[4,2,7,-1,6,-1,7,1]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,
1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[7,1,8,-1,7,-1,8,1]],[[1,1,2,1],[
1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[8,1,7,-2,
8,-1]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,
1,4,1,5,1],[8,2,7,-2,8,1,7,-1,8,-1]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,
1],[4,1,5,1],[5,1,6,2,5,1],[7,-3]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,
-1,4,-2,2,-1],[3,2],[6,1,5,-2,6,1,5,-1,6,-1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,
1,2,1,1,-1,4,-2,2,-1],[3,2],[3,1,5,-1],[7,1,6,1,7,-1,6,-1]]],[[[2,1,1,1,2,3,1,
1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[5,1,6,-1,5,-1,6,-2]],[[2,1,1,1,2,
3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,1,5,-1,3,1,5,-1]]],[[[2,1,1,1,2,
3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[5,2,6,1,5,1,3,1,5,1,6,1]],[[
2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[3,1,5,-1,6,1,5,1,6,
-2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,2,6,1,4,1,6,1,4,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,
1,5,-1,2,-1,1,-1,5,-1],[6,1,4,2,6,1,4,1]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[
2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[8,1,7,1,8,1,7,2,8,1]],[[1,1,2,
1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[8,2,
7,-1,8,1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[3,1,
5,-1,6,-2,5,1,3,1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[5,
1,3,2,5,-2,3,-1]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,
6,2,5,1],[5,1,4,1,5,1],[8,1,7,1,8,2,7,2]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,
1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[7,1,8,2,7,-3]]],[[[1,1,2,1],[1,
-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[7,2,8,1,7,
1,8,1,7,1,8,-1]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,
5,1],[5,1,4,1,5,1],[7,2],[9,-1,8,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,1,4,-1,
3,-2,2,-1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2,
6,-2,4,-1,6,1,4,-1,6,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,
2,-2],[4,1,6,-1,4,-2,6,1,4,1]]],[[[2,1,1,1],[2,1,3,-1,1,1,2,2,3,1],[4,3],[1,1,
2,1],[2,1,1,1,6,1,2,1,6,1],[5,1,7,1],[5,1,7,-1,8,-3,7,1,5,1]],[[2,1,1,1],[2,1,
3,-1,1,1,2,2,3,1],[4,3],[1,1,2,1],[2,1,1,1,6,1,2,1,6,1],[7,1,5,1],[5,1,7,1,8,
-1,7,-1,8,1]]],[[[1,1,2,1],[1,-2,2,-2,3,2,2,2,1,1]]],[[[2,1,1,1,2,3,1,1],[1,1,
2,1],[4,1,2,1,1,-1,4,-2,2,-1],[5,1,3,1,5,1,3,2,5,1,3,-1,5,-1]],[[2,1,1,1,2,3,
1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[6,1,5,1],[6,1,7,-2]]],[[[2,1,1,
1],[2,1,3,-1,1,1,2,2,3,1],[4,3],[1,1,2,1],[2,1,1,1,6,1,2,1,6,1],[5,1,7,5,5,
1]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1],[4,5]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,
-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-2,4,2,6,-1,4,-1,6,-1]],[[1,1,
2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-1,4,
-3,6,1]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[
5,1,4,1,5,1],[7,2],[8,-1,9,-1,8,1]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,
1],[4,1,5,1],[5,1,6,2,5,1],[7,-2]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,
2,2,1,1,5,-1,2,-2],[6,1,4,-1,6,2,4,1,6,-1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,
1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,1,6,1,4,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,
1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,-3,6,2,4,1]],[[1,1,2,1],[1,-2,2,
-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,2,4,-2]]],[[[1,1,2,
1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[6,1,7,1],[7,1,8,
2]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,1,4,2,6,
1,4,1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,1,5,1],[6,
2,3,2]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[5,1,3,1],[6,1,
3,2,6,1]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,
1],[5,1,4,1,5,1],[8,2],[9,1,7,2,9,1]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,
1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[8,1,7,-1,8,2,7,1,8,-1]]],[[[1,1,2,
1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,2,4,-2,6,1,
4,1,6,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,
2,2],[4,2,6,-1,4,-1,6,1,4,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,
1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[4,1,6,1],[8,1,7,-2,8,-1]],[[1,1,2,1],[3,1,1,
-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2,6,2,4,1,6,-1]]],[[[
1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[
7,1,6,-1,4,1,6,2,7,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,
-1,2,-1,1,-1,5,-1],[4,-3,6,-4]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[
2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,-1,6,1,7,1,6,2]],[[1,1,2,1],[1,-2,2,-1,
3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1]]],[[[1,1,2,1],[3,
1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2,6,-1,4,-1,6,1,
4,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,
2],[6,1,4,-1,6,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,
1,5,1,1,-2,2,2],[4,2],[7,2,6,-1,4,1,6,-1,7,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,
2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,1,4,1,6,-1,7,2,6,1]]],[[[1,
1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[6,1,4,1,6,-1,4,
1,6,1,7,1,6,-1,7,-1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,
-2],[4,1,6,1],[6,1,4,1],[8,1,7,1,8,-1,6,-1,7,-1]]],[[[1,1,2,1],[3,2,2,3,3,1],[
1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[4,1,6,1,7,-1,6,1,7,1]],[[1,1,2,1],[3,
2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,1,6,-1,4,1,6,2]]],[[[1,1,
2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,2,4,1,5,-1],[5,2,4,1,5,-2,6,1],[7,
1,6,1],[7,1,8,2]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,2,4,1,5,
-1],[6,1,5,2,4,-1,5,-2,6,-1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,
-2,2,-1],[3,2],[6,1,5,1,6,1,3,1,5,1,6,1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,
1,1,-1,4,-2,2,-1],[3,1,5,-2,3,2]]],[[[1,1,2,1],[3,1,2,1,1,-1,3,-2,2,-1],[4,1,
2,1,1,1,2,3,1,1],[4,1,5,-2]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,
2,-1],[3,2,5,-1,3,-1]]],[[[1,1,2,1],[1,-2,2,-2,3,2,2,2,1,1],[4,5]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1,4,-1,3,-1,4,1,2,-1],[1,1,2,1],[1,-2,2,-2,6,2,2,2,1,1],[
7,2,5,-1,7,-2]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[
4,2],[7,1,4,1,6,2,7,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,
2,-2],[6,1,4,1,6,-2,4,-1,6,-1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,
1,1,5,-1,2,-2],[4,-2,6,1]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,
1],[6,2,5,3,4,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,
-1,1,-1,5,-1],[6,1,4,-1],[7,2,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,
2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-1,4,1,6,2]]],[[[1,1,2,1],[1,-2,2,-1,
3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,1,6,1,4,1,7,1,6,-1,
7,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,1,6,1,4,-2,6,-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,
5,-1,2,-1,1,-1,5,-1],[4,2],[7,1,6,-2,7,-1,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,
1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-1,4,1,6,2]]],[[[1,1,2,1],[3,
2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[7,1,6,-1,7,-1,6,2,4,1]],[[
1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,-1,6,1,4,1,6,
-1,4,-2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,
5,-1],[4,2],[7,-1,6,1,4,1,6,1,7,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,
2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-1],[7,2,6,-1]]],[[[2,1,1,1,2,3,1,1],[
1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[6,-2,5,-1,6,1,5,1,3,1]],[[2,1,1,1,2,
3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[5,1,3,1,6,1,5,-1,6,-1]]],[[[
1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[
7,1,4,1,6,1,4,1,6,1,7,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,
5,-1,2,-1,1,-1,5,-1],[4,1,6,-1,4,-2,6,2,4,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,
1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[4,1,6,1],[8,1,6,1,7,1,6,1,8,
1,7,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,1,6,1,4,-2,6,2,4,1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,
5,-1,2,-2],[4,2,6,1,4,-1,6,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,
1,5,-1,2,-2],[6,1,4,1,6,1,4,1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,
1,1,5,-1,2,-2],[4,2],[6,1,7,-1,6,1,4,1,6,1,7,-1]],[[1,1,2,1],[3,2,2,3,3,1],[1,
1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,-2,6,-1,4,1,6,2]]],[[[1,1,2,1],[3,1,1,-1,2,
-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,2,6,-1,7,1,6,1,7,
1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[
6,1,4,2,6,-1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[
6,1,5,1,6,1,5,-1,6,-2]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,
-1],[3,2,5,2,3,1,5,2]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,
2,-2],[6,1,4,-1,6,-3,4,2]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,
-1,2,-2],[6,1,4,1,6,-1,4,1,6,1,4,-2]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,
1,2,2,1,1,5,-1,2,-2],[6,1,4,-1,6,1,4,-1,6,-1,4,-2]],[[1,1,2,1],[3,2,2,3,3,1],[
1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,2,6,-2,4,-1]]],[[[1,1,2,1],[1,-2,2,-1,
3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[4,1,6,1],[6,1,8,1,7,
-1,8,1,6,1,7,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]]],[[[1,1,2,1],[1,
-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1],[7,2,4,
-2]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]]],[[[1,1,2,1],[1,-2,2,-1,3,2,
2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,1,6,-1,4,1,6,2,7,1]],[[
2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,
-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,1,6,1,4,1,6,1,7,-1]],[[2,2],[
2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,
2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1],[6,1,7,1,4,2,7,1]],[[1,1,2,1],[1,
-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,-1,6,1,4,-1,6,
1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,1,6,1,
4,2,6,2,4,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,
4,-1,6,1,4,2,6,2]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,
2],[6,1,5,-1,3,-1,5,-1,6,1,3,1]],[[1,1,2,1],[3,1,2,1,1,-1,3,-2,2,-1],[2,1,1,1,
2,3,1,1,4,1],[5,1,4,2,5,1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,
2,-1],[3,2],[3,1,5,1],[7,1,6,-1,5,1,7,1,6,1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,
1,2,1,1,-1,4,-2,2,-1],[3,2],[5,1,6,-1,5,-2,6,-1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,
1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[6,-2,5,-1,6,1,5,1,6,1]],[[2,1,1,1,2,3,1,
1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[5,1,3,-2,5,-2,3,-1]]],[[[2,1,1,1,2,3,1,
1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[6,-2,5,-1,6,1,5,1,6,1]],[[2,1,1,
1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[5,2,3,-1,5,2,3,2]]],[[[2,1,1,1,
2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[5,1,3,-4,5,-1]],[[2,1,1,1,2,3,1,
1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,1,5,1,3,1,5,1]]],[[[1,1,2,1],[3,1,1,
-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2,6,1,4,2,6,1]],[[1,
1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,2,
6,1,4,2]]],[[[2,1,1,1],[2,1,3,-1,1,1,2,2,3,1],[4,3],[1,1,2,1],[2,1,1,1,6,1,2,
1,6,1],[5,1,7,1],[8,1,5,1,7,-1,5,1,7,-2,8,1]],[[2,1,1,1],[2,1,3,-1,1,1,2,2,3,
1],[4,3],[1,1,2,1],[2,1,1,1,6,1,2,1,6,1],[7,1,5,1,7,-1]]],[[[1,1,2,1],[1,-2,2,
-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,2,4,-3,6,-2]],[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,-1,6,1,4,
-1,6,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,
5,-1],[6,2,4,1,6,-1,4,1,6,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,
1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1,4,-2,6,-1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,
2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,1,6,1],[7,1,4,2,7,1]],[[1,1,2,1],[3,2,2,3,
3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[7,2,6,2,4,1]]],[[[1,1,2,1],[3,2,
2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,-1,4,2,6,1,4,-1,6,-1]],[[1,
1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[6,-1,7,1,6,-1,4,
-1]],[[1,1,2,1],[3,1,2,2,1,1,3,-1,2,-2],[4,-4]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,
1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[7,2,6,1,7,1,6,-2]],[[1,1,2,1],[3,1,2,2,
1,1,3,-1,2,-2],[4,-4]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,
-2],[6,1,4,-2,6,1,4,-1,6,1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,
-2,2,-1],[3,2],[6,1,5,1,3,1,5,1,6,1,5,-1,6,1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[
4,1,2,1,1,-1,4,-2,2,-1],[3,2],[3,1,5,1],[7,1,6,-2,7,-1]],[[2,1,1,1,2,3,1,1],[
1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[6,1,5,1,6,-2,5,1,3,-1]]],[[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2,6,1,4,1,
6,3,4,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]],[[1,1,2,1],[1,-2,2,-1,
3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1],[4,2,7,-1,6,-1,7,
1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[3,1,5,-1,6,
-2,5,1,3,1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[5,1,
6,-1,5,-1,6,-2]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,
2,5,1],[5,1,4,1,5,1],[7,2,8,-1,7,-1,8,1,7,1]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,
2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[8,1,7,2,8,-1]],[[1,1,2,
1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[7,1,
8,1,7,1,8,1]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,
5,1],[5,1,4,1,5,1],[8,1,7,-1,8,1,7,1]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,
1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[7,1,8,1,7,1,8,1]]],[[[2,1,1,1,2,3,1,
1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[6,1,5,-1,6,-2,5,1,3,1,5,1]],[[2,
1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[5,1,3,1,6,1,5,-1,6,
-1]]],[[[2,1,1,1],[2,1,3,-1,1,1,2,2,3,1],[4,3],[1,1,2,1],[2,1,1,1,6,1,2,1,6,
1],[5,1,7,1],[8,2,5,1,7,-1,5,1,7,-1]]],[[[2,1,1,1],[2,1,3,-1,1,1,2,2,3,1],[4,
3],[1,1,2,1],[2,1,1,1,6,1,2,1,6,1],[5,1,7,1],[8,2,7,1]],[[2,1,1,1],[2,1,3,-1,
1,1,2,2,3,1],[4,3],[1,1,2,1],[2,1,1,1,6,1,2,1,6,1],[7,-1,5,1,7,1]]],[[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1],[4,
1,6,1,7,-1,4,-2,7,-1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]],[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-1,6,1,
4,-3,6,1,4,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,
1,-1,5,-1],[6,1,4,1,6,1],[7,1,4,2,7,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,
-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,1,6,1,4,1,7,1,6,-1,7,-1]],[[
2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,
-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[6,-1,7,1,4,1,6,1]],[[1,1,2,1],[
1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-3,6,
-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,2],[7,1,4,1,6,1,7,-1,6,-1,7,-1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[
4,-4]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[6,1,4,1,6,1],[7,2,4,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,
1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,1],[4,2,7,2]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,
1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[6,2],[7,1,8,1,7,1,8,1]],[[
1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[4,-3]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,
1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,1,6,1,4,1,7,1,6,-1,7,-1]],[[
1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[
7,1,4,1,6,1,7,-1,4,-1,6,-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,
1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1],[6,1,7,-2,6,1,4,1,6,-1]],[[2,2],[2,1,1,1,3,
-1,2,-1,1,-1,3,-1],[4,-4]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,
5,-1,2,-1,1,-1,5,-1],[4,1,6,1],[7,1,4,1,6,1,7,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,
2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,2,6,1,4,2]]],[[[1,1,2,1],[
1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,1,4,1,6,
2,7,1,6,1,4,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,
1,-1,5,-1],[4,2],[7,1,6,1,4,1,7,1,6,-1,7,-1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,
3,-1],[4,-4]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,
-1,5,-1],[4,2],[6,1,4,1,6,1],[8,1,7,-1,8,1,7,-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,
2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[4,1,6,2],[7,1,8,1,7,1,8,
1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]],[[1,1,2,1],[1,-2,2,-1,3,2,2,
2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[4,1,6,1,7,1,6,-1,7,-1]],[[
1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2,6,
1,4,-1,6,1,4,-1,6,-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,
-1,2,-1,1,-1,5,-1],[4,2],[7,1,6,1,4,1,7,1,6,-1,7,-1]],[[2,2],[2,1,1,1,3,-1,2,
-1,1,-1,3,-1],[4,-4]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,
2,-1,1,-1,5,-1],[6,1,4,-1,6,1,4,2,6,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[
2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1,4,-2,6,2,4,1]]],[[[1,1,2,1],[1,-2,
2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-1,6,-2,4,-1,6,
-1,4,-2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,1,6,1,4,2,6,1,4,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]],[[1,1,
2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,1,
6,-1,4,1,6,1,7,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,
1,5,1,1,-2,2,2],[4,1,6,-1],[7,2,4,2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[
4,-3]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,
2],[4,2],[6,-1,7,1,4,1,6,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,
1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,1,6,-3]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,
-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,1,4,-2,6,2]],[[2,2],[2,1,1,
1,3,-1,2,-1,1,-1,3,-1],[4,-4]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,
1,1,5,-1,2,-1,1,-1,5,-1],[6,3,4,1,6,1,4,-2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,
-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,-1,6,-1,4,1,6,1]]],[[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[6,-1,7,
1,4,1,6,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]],[[1,1,2,1],[1,-2,2,
-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,-1,6,-1,4,1,6,
1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[
6,2,4,-1,6,2,4,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,
2,-1,1,-1,5,-1],[6,1,4,-1,6,-2,4,-1,6,-1,4,-2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,
1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,1,6,-1,7,-1,6,1,7,1]],[[2,
2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[
2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-3,6,-1]]],[[[2,1,1,1,2,3,1,1],[1,1,
2,1],[4,1,2,1,1,-1,4,-2,2,-1],[5,1,3,1,5,1,3,-2,5,2,3,1]],[[2,1,1,1,2,3,1,1],[
1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[5,1,3,-1,5,-1,3,3]],[[2,1,1,1,2,3,1,1],[1,
1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[5,1,3,-1,5,1,6,-2,5,1]],[[2,1,1,1,2,3,
1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[3,1,5,-1,6,-2,3,1,5,1]]],[[[1,
1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,1],[7,1,6,1,7,1,
6,2,4,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,
-2,6,1,4,-1,6,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[
6,2,4,-1,6,1,4,1,6,1,4,-2]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,
-1,2,-2],[4,1,6,1,4,-1,6,-1,4,2,6,1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,
1,-1,4,-2,2,-1],[5,1,3,-1,5,-1,3,2,5,-1,3,-1,5,-1]],[[2,1,1,1,2,3,1,1],[1,1,2,
1],[4,1,2,1,1,-1,4,-2,2,-1],[5,1,3,-4,5,-1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,
1,2,1,1,-1,4,-2,2,-1],[5,1,3,-1,5,-1,3,-2,5,-1,3,-1,5,-1]],[[2,1,1,1,2,3,1,
1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[6,-2,3,1,5,2]]],[[[2,1,1,1,2,3,1,
1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[6,-2,5,1,6,-1,5,-1,3,-1,5,-1]],[[
2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,1,5,-2,3,2]],[[2,1,1,1,
2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[3,1,5,1],[7,1,6,-2,7,
-1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[5,1,3,-1],[6,1,3,
-2,5,-1,6,-1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[
4,1,6,1],[6,1,7,-1,6,1,4,-1,6,-1,7,-1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,
1,2,2,1,1,5,-1,2,-2],[6,1,4,-2,6,1,4,-1,6,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,
1],[5,1,2,2,1,1,5,-1,2,-2],[6,2,4,-1,6,1,4,1,6,1,4,-2]],[[1,1,2,1],[3,2,2,3,3,
1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,1,4,-1,6,-1,4,2,6,1]]],[[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1],[7,
1,4,2,6,1,7,1,6,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]],[[1,1,2,1],[
1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1],[7,1,4,
1,6,1,7,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,
5,-1],[6,1,4,2,6,1,4,2]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,
-1],[5,1,3,1,5,1],[6,1,3,-2,6,-1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,
4,-2,2,-1],[3,2,5,1,3,2,5,-1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,
-2,2,-1],[3,2],[6,1,3,1,5,-1,6,1,3,1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,
1,-1,4,-2,2,-1],[3,1,5,1,3,2,5,1,3,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[
2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,1,6,1,7,-1,6,-1,7,1]],[[1,1,2,1],[
1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,2,4,-1,6,2,4,
1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]],[[1,1,2,1],[1,-2,2,-1,3,2,2,
2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,1],[4,2,7,2]]],[[[1,1,
2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,2,4,3,6,
-2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[4,-3]],[[1,1,2,1],[3,1,1,-1,2,-1,
3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,3,4,-1,6,-1]],[[1,1,2,1],[3,
1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[6,-1,7,1,4,1,
6,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,1,6,-1,4,2,6,1,4,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,
1,5,-1,2,-1,1,-1,5,-1],[4,1,6,2,4,-1,6,-2]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,
-1],[4,-4]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,
5,-1],[6,1,4,2,6,1,4,2]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,
-1],[3,2],[5,1,3,1,5,1],[7,1,6,1,7,1,6,1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,
2,1,1,-1,4,-2,2,-1],[3,2],[6,-2,5,2,3,1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,
1,1,-1,4,-2,2,-1],[3,2],[5,1,3,-1,5,1,6,-2,5,1]],[[2,1,1,1,2,3,1,1],[1,1,2,
1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[5,1,3,1],[6,1,7,1,6,1,7,1]]],[[[1,1,2,1],[
1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-4,4,
-1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,
2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,2,6,1,4,2]],[[1,1,2,1],[1,
-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[6,-1,7,1,6,
-1,7,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,
5,-1],[4,2],[6,1,4,1,6,1],[8,1,7,-1,8,1,7,-1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,
3,-1],[4,-4]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,
-1,5,-1],[4,2],[7,1,6,-1,4,1,6,1,7,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,
2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,2,4,-1,6,2,4,1]]],[[[1,1,2,1],[3,1,1,-1,2,
-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[6,1,4,1,6,1],[8,1,7,1,
8,1,7,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[4,-3]],[[1,1,2,1],[3,1,1,-1,
2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[6,1,4,1,7,1,6,-1,4,
-1,7,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,
2,2],[4,2],[7,1,6,-1,7,1,4,1,6,1,7,-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,
-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[4,1,6,1,7,-1,6,1,4,1,7,1]],[[2,
2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[
2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-1,6,2,4,1,6,1]],[[1,1,2,1],[1,-2,2,
-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,2,6,1,4,2]]],[[[1,
1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,
6,2,4,-1,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,
-1,5,-1],[4,2,6,1,4,2,6,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]],[[1,
1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,2,
6,1,4,2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,
5,-1],[4,1,6,1,4,2,6,1,4,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,
1,5,-1,2,-1,1,-1,5,-1],[4,2],[6,-1,7,1,4,1,6,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,
-1,3,-1],[4,-4]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,
1,-1,5,-1],[6,2,4,-1,6,2,4,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,
1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,2,6,1,4,2]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,
3,-1],[4,-4]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,
-1,5,-1],[6,2,4,-1,6,2,4,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,
1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,1,6,-1,7,1,6,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,
2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[6,1,4,1,6,1],[8,1,7,-1,8,
1,7,-1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]],[[1,1,2,1],[1,-2,2,-1,3,
2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,2,4,-1,6,2,4,1]],[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,2,6,1,
4,2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,2],[6,2,7,-1,6,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]],[[1,1,
2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,
2,4,-1,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,
-1,5,-1],[4,1,6,-4,4,-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,
1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-4,4,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[
2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,
-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,2,6,1,4,2]],[[2,2],[2,1,1,1,3,
-1,2,-1,1,-1,3,-1],[4,-4]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,
1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,1,6,1,4,1,7,1,6,-1,7,-1]],[[2,2],[2,1,1,1,3,
-1,2,-1,1,-1,3,-1],[4,-4]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,
5,-1,2,-1,1,-1,5,-1],[4,2],[6,1,7,1],[7,1,8,-1,7,1,8,1]],[[1,1,2,1],[1,-2,2,
-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,1,6,-1,7,-1,6,1,
7,1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,-1,
4,2,6,1,4,-1,6,-1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,
-2],[6,2,4,1,6,-1,4,2]],[[1,1,2,1],[3,1,2,2,1,1,3,-1,2,-2],[4,-4]],[[1,1,2,
1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,1],[6,1,7,-1,4,2,7,
1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[6,-2,5,1,6,
-1,5,-1,3,-1,5,-1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,
1,5,-2,3,2]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[5,1,
3,1,5,1],[6,1,7,1,6,1,7,1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,
-1],[3,2],[3,1,5,-1,6,1,5,1,6,-2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,
2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-4,4,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,
2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,2]],[[2,2],[2,1,1,1,3,-1,2,
-1,1,-1,3,-1],[4,-4]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,
2,-1,1,-1,5,-1],[6,2,4,-1,6,2,4,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[
1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,1,6,1,4,1,6,3,7,1]],[[1,1,2,1],[3,1,
1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,3,6,-1]],[[1,1,
2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,1,
4,1,7,1,6,1,4,1,6,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,
2,1,5,1,1,-2,2,2],[4,2],[7,1,4,1,6,-1,4,-1,6,-1,7,-1]],[[1,1,2,1],[3,1,1,-1,2,
-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,1,4,1,6,2,7,1]],[[1,
1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,2,4,-2,
6,1,4,1,6,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,
1,-2,2,2],[4,1,6,1],[6,1,7,-1,6,1,7,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,
1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,3,6,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,
3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[6,-1,7,1,4,1,6,1]]],[[[1,
1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[6,
2],[8,1,7,1,8,1,7,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,
1,5,1,1,-2,2,2],[6,2,4,1,6,1,4,1,6,1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[
5,1,2,2,1,1,5,-1,2,-2],[4,2,6,-2,4,-1,6,1,4,-1,6,1]],[[1,1,2,1],[3,2,2,3,3,
1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,2,4,2,6,1,4,1]]],[[[1,1,2,1],[3,2,2,3,
3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,-1,6,1,4,2,6,1,4,1]],[[1,1,2,
1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,-1],[6,1,7,-2]]],[[[
1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[
6,1,4,-1,6,-1,7,1,6,1,7,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[
5,1,2,1,5,1,1,-2,2,2],[6,2,4,-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,
1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,2,6,2,4,1]],[[1,1,2,1],[3,1,1,-1,2,-1,
3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,-2,6,1,4,-1]],[[1,1,2,
1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2,6,-2,4,
-1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,2,4,1,6,
-1,4,2]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,1,
6,-2,4,-1,6,-1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[
4,2,6,-2,4,1,6,-1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,
-2],[4,2],[7,1,6,-1,7,1,6,1,4,1,6,1,7,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[
5,1,2,2,1,1,5,-1,2,-2],[6,2,4,1,6,-1,4,2]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,
1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,-1],[7,1,6,1,7,1,6,1]]],[[[1,1,2,1],[1,-2,2,
-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,1,6,2,7,-1]],[[
1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,-1,6,
2,4,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,2]]],[[[1,1,2,1],[3,1,1,-1,2,
-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,1,6,-1,4,1,6,1,4,2,6,
1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[
6,2,4,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,
2,2],[4,2],[6,2],[8,1,7,1,8,1,7,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[
1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,2,6,-1,4,1,6,-1,7,1]],[[1,1,2,1],[3,
1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2,6,-1,4,1,6,
-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[
6,3,4,-1,6,-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,
-1,1,-1,5,-1],[6,1,4,2,6,1,4,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,
1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,-2,4,-1,6,-1]],[[1,1,2,1],[1,-2,2,-1,3,
2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-1,6,-2,4,1,6,-1]]],[[[
1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,1,4,2,6,1,4,1,
6,-1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[7,1,
6,2,7,-1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,
-1,4,2,6,-2]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,
1,-2,2,2],[4,2],[4,1,6,1,7,1,4,1,6,-1,7,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,
3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,2,4,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,
1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,1,4,1,6,2,7,-2]]],[[[1,1,
2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,
-2,4,-1,6,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,
-1,5,-1],[4,-1,6,2,4,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,
-1,2,-1,1,-1,5,-1],[4,1,6,-2,4,-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[
1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,3,4,-1,6,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,
1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,-1,6,-1,4,1,6,-1]],[[1,1,2,1],[
3,1,1,-1,2,-1,3,1,2,1,3,1],[4,-3]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,
-1,4,-2,2,-1],[5,1,3,1,5,1,3,-2,5,1,3,1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,
1,1,-1,4,-2,2,-1],[3,1,5,-1,3,-3]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,
4,-2,2,-1],[5,1,3,2,5,-1,3,2]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,
2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[4,1,6,1,7,1,4,1,6,-1,7,1]],[[1,1,2,1],[3,1,
1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,2,4,-2,6,1,4,1,6,
1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[
6,1,4,3,6,-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,
1,1,-2,2,2],[4,1,6,-1],[7,2,4,2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,
2,1],[5,1,2,1,5,1,1,-2,2,2],[4,-1,6,-1,4,1,6,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,
1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,1,6,-3]]],[[[1,1,2,1],[3,1,
1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,1,6,1,7,-1,6,
1,4,-1,7,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,
-2,2,2],[4,2],[7,1,4,1,6,2,7,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,
2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,3,6,1,4,-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,
1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[6,2],[8,1,7,1,8,1,7,1]],[[
1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,
1],[7,2,4,-2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,
1,-2,2,2],[6,1,4,3,6,1,4,-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,
1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,1],[7,1,4,2,7,1]],[[1,1,2,1],[1,-2,2,-1,
3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,-1,6,2,7,1]],[[1,1,
2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[6,2,
7,-1,6,1,7,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,
1,1,-2,2,2],[4,2],[6,1,4,-1,6,-1],[7,1,8,1,7,1,8,1]],[[1,1,2,1],[3,1,1,-1,2,
-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,2,4,-1]],[[1,1,2,1],[3,1,
1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[6,1,4,-1,6,1],[
7,1,8,1,7,1,8,-1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,
-2],[4,2],[7,1,6,-1,7,1,6,2,4,-1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,
2,1,1,5,-1,2,-2],[4,1,6,-1,4,2,6,2]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,
2,2,1,1,5,-1,2,-2],[6,1,4,-1,6,1,4,1,6,-1,4,-2]]],[[[1,1,2,1],[3,1,1,-1,2,-1,
3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,-1],[7,2,4,2]],[[1,1,2,
1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,3,4,-1,6,
-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[
4,2,6,1,4,2,6,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,
5,1,1,-2,2,2],[4,1,6,-1],[7,2,4,2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,
1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,-1,6,-1,4,1,6,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,
3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[6,-1,7,1,4,1,6,1]]],[[[1,
1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[4,
1,6,1],[8,1,7,-1,8,1,7,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[
5,1,2,1,5,1,1,-2,2,2],[4,-1,6,1,4,-1,6,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,
3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2,6,-3,4,-1,6,-1]]],[[[2,1,1,1,2,3,1,
1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[5,1,3,-1,5,-1,3,2,5,-1,3,-1,5,-1]],[[2,
1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[6,1,5,-1,6,1,5,1,6,
-1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[3,1,5,-1,6,
1,5,1,6,-2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,
-1,5,-1],[4,2],[4,1,6,1,7,-1,6,1,4,1,7,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,
-1],[4,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,
5,-1],[6,1,4,2,6,1,4,2]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[
5,1,2,1,5,1,1,-2,2,2],[6,1,4,3,6,1,4,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,
1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,1],[7,2,4,-2]],[[1,1,2,1],[3,1,1,
-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[6,-1,7,1,4,1,6,
1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[3,1,5,-1,6,
1,5,1,6,-2]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[5,1,3,-1,
5,-1,3,1,5,1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[5,2,3,1,
5,1,3,-1,5,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,
1,-1,5,-1],[6,2,4,-1,6,2,4,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,
1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,
2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2,6,1,4,2,6,1]]],[[[1,1,2,1],[3,1,1,-1,2,
-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2,6,1,4,2,6,1]],[[1,1,2,
1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[4,-3]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,
1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,1,6,-3]]],[[[1,1,2,1],[1,-2,2,-1,3,
2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[6,1,4,1,6,1],[8,1,7,-1,
8,1,7,-1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,2]],[[1,1,2,1],[1,-2,2,-1,
3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,-1,6,2,4,1]]],[[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,1,6,
2,7,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,-1,6,2,4,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,
-1,1,-1,5,-1],[6,1,4,1,6,-2,4,-1,6,-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,
1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,1,4,1,6,1,4,1,6,1,7,1]],[[1,1,2,
1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2,6,-2,4,
-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[
6,1,4,1,6,-1,4,-2,6,-2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,
5,-1,2,-1,1,-1,5,-1],[4,2],[7,1,4,1,6,-1,7,-1,6,-1,7,-1]],[[2,2],[2,1,1,1,3,
-1,2,-1,1,-1,3,-1],[4,-4]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,
5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,1,4,1,6,1,4,-2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,
2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,-1,6,-1,4,-1,6,-1,7,
-1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]],[[1,1,2,1],[1,-2,2,-1,3,2,2,
2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1,4,-1,6,-2]]],[[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-3,6,
-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[
4,1,6,-1,4,-1,6,-2]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]]],[[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,-1,6,
-1,4,1,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,
-1,5,-1],[4,1,6,-1,4,-1,6,-2]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,
-4]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,
2],[4,2],[4,1,6,1,7,1,4,1,6,-1,7,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[
1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,1],[6,1,7,2,6,1]],[[1,1,2,1],[3,1,1,-1,
2,-1,3,1,2,1,3,1],[4,-3]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,
1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1],[6,1,7,-2,4,2,6,1,7,1]],[[1,1,2,1],[1,-2,2,
-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1],[6,1,7,1,4,-2,
7,1,4,-1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]]],[[[1,1,2,1],[1,-2,2,
-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1],[7,1,6,1,7,1,4,
2,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,1,6,1],[6,2,4,-1,6,1,7,2]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,
-4]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,
2],[4,2],[6,2,7,1,6,-1,4,-1,6,-1,7,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,
1],[4,-3]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,
2,2],[6,2,4,1,6,1,4,1,6,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,
1,1,5,-1,2,-1,1,-1,5,-1],[6,2,4,2,6,1,4,-1,6,-1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,
-1,3,-1],[4,-4]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,
1,-1,5,-1],[4,2],[7,-1,6,-1,4,1,6,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[
2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,1],[4,2,7,2]],[[1,1,2,1],[1,-2,
2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,1,4,-2,6,
2]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]]],[[[1,1,2,1],[3,1,1,-1,2,-1,
3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,1,6,-1,4,-1,7,-1,6,1,7,
-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[
4,1,6,1,4,-2,6,1,4,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,
2,1,5,1,1,-2,2,2],[6,1,4,3,6,-1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,
2,1,1,5,-1,2,-2],[4,2],[7,1,6,-1,4,-1,6,-1,7,1,6,1,4,1]],[[1,1,2,1],[3,2,2,3,
3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,-1,4,2,6,2]],[[1,1,2,1],[3,2,2,
3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[4,1,6,2,7,-1,6,1,7,-1]]],[[[1,
1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,2,
6,1,4,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,1,6,-1],[7,1,4,1,6,1,7,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,
-4]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,1,6,1],[7,1,6,1,7,1,4,-2]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,
-4]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[
6,1,4,2,6,1,4,2]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,
2],[3,1,5,1],[6,1,7,1,6,1,7,-1,5,-1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,
-1,4,-2,2,-1],[3,1,5,1,3,1,5,1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,
-2,2,-1],[3,2],[6,1,5,-2,6,-1,5,1,6,-1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,
1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[4,1,6,1],[8,1,6,1,7,-1,6,1,8,1,7,-1]],[[1,1,
2,1],[3,1,2,2,1,1,3,-1,2,-2],[4,-4]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,
2,2,1,1,5,-1,2,-2],[4,2],[4,1,6,-1,7,-1,4,1,6,1,7,1]]],[[[1,1,2,1],[1,-2,2,-1,
3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[6,-1,7,1,6,-1,4,
-1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]],[[1,1,2,1],[1,-2,2,-1,3,2,2,
2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,2,4,-3]]],[[[1,1,2,1],[1,-2,2,
-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,2,4,-1,6,2,4,1]],[[1,
1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-1,
6,1,4,2]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]]],[[[1,1,2,1],[1,-2,2,
-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-1,6,1,4,2]],[[1,
1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,-1,6,2,
4,1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,-1,
6,1,4,-2,6,-1,4,-1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,
-2],[4,-1,6,1,4,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,
1,5,1,1,-2,2,2],[4,2],[6,1,4,1,6,1],[8,1,7,1,8,1,7,1]],[[1,1,2,1],[3,1,1,-1,2,
-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2,6,-1,4,1,6,-1]]],[[[1,1,
2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,
1,4,-2]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,2]]],[[[1,1,2,1],[3,1,1,-1,2,
-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,1,4,1,6,1,7,-1,4,-1,
6,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,
2],[4,2],[7,1,6,1,7,-1,6,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,
1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-3,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[
2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,-1,6,2,4,1]]],[[[1,1,2,1],[3,1,1,-1,2,
-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,1,6,-1,4,1,6,1,7,
1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[4,-3]]],[[[1,1,2,1],[3,1,1,-1,2,
-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,1,6,-1,4,-1,7,-1,6,
1,7,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,
2],[6,2,4,2]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,
1,-2,2,2],[4,2],[7,1,4,1,6,-1,7,1,4,1,6,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,
3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,1],[7,2,4,-2]]],[[[1,1,2,1],[3,2,
2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[7,1,6,2,7,-1]],[[1,1,2,1],[
3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,2,4,-1,6,1,4,1,6,1]]],[[[1,
1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,
1,4,1,6,2,7,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,
1,-2,2,2],[4,1,6,1,4,-2,6,1,4,1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,
-1,4,-2,2,-1],[5,3,3,1,5,1,3,2]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,
-2,2,-1],[5,1,3,-2,5,-2,3,-1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,
-2,2,-1],[3,2],[6,1,5,-1,6,1,5,2,6,-1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,
1,-1,4,-2,2,-1],[3,2],[3,1,5,2,6,-2]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,
1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,1,4,1,6,2,7,1]],[[1,1,2,1],[3,1,
1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,1,6,-1],[8,2,
7,1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[5,1,3,-1,
6,-1,5,2,6,-1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[5,2,3,
1,5,1,3,-1,5,1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,
2],[6,1,5,-1,6,1,5,1,6,-1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,
-1],[3,2],[6,-2,3,1,5,2]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,
-1,2,-2],[6,1,4,1],[6,1,7,1,6,1,7,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,
2,2,1,1,5,-1,2,-2],[6,1,4,-2,6,1,4,-1,6,1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,
1,2,1,1,-1,4,-2,2,-1],[5,1,3,2,5,-1,3,2]],[[1,1,2,1],[3,1,2,1,1,-1,3,-2,2,
-1],[4,1,2,1,1,1,2,3,1,1],[4,1,5,-2,4,-1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,
1,2,1,1,-1,4,-2,2,-1],[3,2],[6,1,5,-1,6,1,5,2,6,-1]],[[2,1,1,1,2,3,1,1],[1,1,
2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,1,5,1,3,2,5,1,3,1]]],[[[1,1,2,1],[3,1,1,-1,2,
-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,-2,6,1,4,1,6,-1]],[[1,
1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,
1],[7,2,4,-2]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,
1,1,-2,2,2],[4,1,6,1],[7,2,4,-2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,
2,1],[5,1,2,1,5,1,1,-2,2,2],[6,2,4,2]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[
5,1,2,2,1,1,5,-1,2,-2],[6,1,4,2,6,1,4,1,6,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,
1],[5,1,2,2,1,1,5,-1,2,-2],[4,-2,6,-2,4,-1,6,-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,
3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[6,1,4,1,6,1,7,1,6,2,7,
-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[
4,2],[6,-1,7,1,4,1,6,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[
5,1,2,1,5,1,1,-2,2,2],[6,1,4,1,6,1,4,2,6,2,4,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,
1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[6,-1,7,1,4,1,6,1]]],[[[1,1,
2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[6,
2],[8,1,7,1,8,1,7,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,
1,5,1,1,-2,2,2],[6,1,4,-2,6,1,4,1,6,-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,
-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,2,4,-3,6,-1,4,-1]],[[1,1,2,1],[1,
-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,-1,6,2,4,1]]],[[[
1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,
-1,6,-1,4,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,
-1,5,-1],[4,-3,6,-1,4,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[
5,1,2,1,5,1,1,-2,2,2],[4,2,6,1,4,1,6,-1,4,1,6,-1,4,1,6,1]],[[1,1,2,1],[3,1,1,
-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,2,6,1,4,-2]]],[[[
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1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,-1,4,2,
6,2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[6,1,4,1,6,-1,4,-2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,
-1,2,-1,1,-1,5,-1],[4,1,6,-1],[7,2,6,-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,
3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,3,6,1,4,-1]],[[1,1,2,1],[3,1,1,
-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,1,4,-2,6,1,4,
1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[7,1,6,
-1,4,-1,6,-1,7,1,6,2]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,
-2],[4,-2,6,-1,4,1,6,1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,
-1,2,-2],[6,1,4,1,6,-1,4,-2,6,1,4,1,6,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[
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1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[4,1,6,1,7,1,6,
1,7,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,
2],[6,1,4,2,6,1,4,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,
2,1,5,1,1,-2,2,2],[4,2],[6,1,7,2,6,-1,7,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,
3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,-1,4,2,6,1,4,1]]],[[[2,1,1,1,2,3,
1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[6,1,5,-1,6,-2,5,1,3,1,5,1]],[[
2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,-1,5,1,3,2]]],[[[1,1,2,
1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,1,6,
-2,7,-1,6,1,7,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,
5,1,1,-2,2,2],[6,2,4,1,6,2]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,
-2,2,-1],[3,2],[6,-2,5,-1,6,1,5,1,3,1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,
1,-1,4,-2,2,-1],[5,2,3,-1,5,1,3,1,5,1,3,2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,
-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,2,6,1,4,2]],[[1,1,2,1],[1,-2,2,
-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1],[6,1,7,2,4,
1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]]],[[[1,1,2,1],[1,-2,2,-1,3,2,
2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,2,4,-1,6,1]],[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1],[7,
1,4,1,6,1,7,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]]],[[[1,1,2,1],[1,
-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,1,6,1],[7,
1,8,-2,7,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,
-1,5,-1],[6,1,4,1,6,1],[4,2,7,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[
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1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,1,4,1,6,2,7,1,6,1,4,1]],[[
1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,
1,6,1,4,-2,6,2]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]]],[[[1,1,2,1],[1,
-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,2,6,1,4,
2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[
6,1,4,1,6,-2,4,-1,6,-1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,2]]],[[[1,1,
2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,2,6,
1,4,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[6,1,4,1,6,-2,4,-1,6,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,
1,1,5,-1,2,-1,1,-1,5,-1],[6,2,4,-1,6,2,4,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,
2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[4,1,6,1],[8,1,7,1,8,1,7,
-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[
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5,1,1,-2,2,2],[4,2],[7,2,6,2,4,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,
2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,2,4,-1,6,2,4,1]],[[1,1,2,1],[1,-2,2,-1,3,
2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,2,4,-1]],[[1,1,2,1],[1,
-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[6,-1,7,1,6,
-1,7,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,
2,2],[4,2],[7,1,4,1,6,2,7,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,
1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,1],[6,1,7,-1,6,1,7,1]],[[1,1,2,1],[3,1,1,-1,
2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,3,6,-1]]],[[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[6,1,7,
-1,6,1,7,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,
-1,5,-1],[4,-1,6,2,4,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,2]]],[[[1,1,
2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,1,
4,1,6,-1,7,1,4,1,6,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,
2,1,5,1,1,-2,2,2],[6,1,4,-2,6,1,4,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,
1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,1,6,3,4,-2]]],[[[1,1,2,1],[1,-2,2,
-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,1,4,1,6,-1,7,1,
4,1,6,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[6,1,4,1,6,1,4,-2,6,2]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]]],[[[
1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[
7,1,4,1,6,2,7,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,
1,1,-2,2,2],[6,2,4,-2,6,1,4,1,6,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,
1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,3,6,-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,
1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,1,6,1,4,1,7,1,6,-1,7,
-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[
6,1,4,2,6,1,4,2]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]]],[[[1,1,2,1],[
1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[6,-1,7,1,6,
-1,4,-1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]],[[1,1,2,1],[1,-2,2,-1,
3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2,6,1,4,2,6,1]]],[[[1,1,
2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,
1,4,-2,6,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,
-1,5,-1],[6,1,4,2,6,1,4,2]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]]],[[[
1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,
1,6,1,4,-2,6,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,
1,-1,5,-1],[6,1,4,-1,6,1,4,2]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,
-4]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[6,1,4,1,6,1,4,-2,6,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,
1,5,-1,2,-1,1,-1,5,-1],[6,1,4,2,6,-1,4,2]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,
-1],[4,-4]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,
-1,5,-1],[6,1,4,2,6,-1,4,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,
1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,-1,6,-1,4,1,6,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,
-1,3,-1],[4,-4]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,
-1,1,-1,5,-1],[4,2],[7,1,6,1,7,-1,6,-1,7,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,
-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,1,6,1,4,1,6,-1,7,1]],[[2,2],[
2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,
2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1,4,-2,6,2,4,1]],[[1,1,2,1],[1,-2,2,
-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,-1,6,-1,4,1,6,
1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]]],[[[1,1,2,1],[1,-2,2,-1,3,2,
2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,1,4,1,6,2,7,1,6,1,4,
1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[
6,1,4,-3,6,-1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]]],[[[1,1,2,1],[1,
-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[4,1,6,2,7,-1,
6,1,4,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,2],[7,1,6,-1,7,-1,4,1,6,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,
-4]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,1,6,1,4,-2,6,2,4,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,
1,5,-1,2,-1,1,-1,5,-1],[4,2,6,1,4,-1,6,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,
-1],[4,-4]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,
-1,5,-1],[4,2,6,1,4,-1,6,1,4,-1,6,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,
2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[6,-1,7,1,6,-1,4,-1]],[[2,2],[2,1,1,1,
3,-1,2,-1,1,-1,3,-1],[4,-4]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,
1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-1,6,1,4,-1,6,1,4,1]],[[2,2],[2,1,1,1,3,-1,2,
-1,1,-1,3,-1],[4,-4]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,
2,-1,1,-1,5,-1],[6,1,4,-1,6,2,4,1,6,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,
-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1],[4,1,7,-2,4,-2,6,-1]],[[2,
2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[
2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,2,6,1,4,2,6,-2]]],[[[1,1,2,1],[1,-2,
2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[6,-1,7,1,4,1,6,
1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[
4,1,6,-1,4,-1,6,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,
-1,1,-1,5,-1],[6,2,4,-1,6,2,4,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,
1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[6,2,7,1,6,-1,4,-1,6,-1,7,-1]],[[1,1,2,
1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,2,4,1,6,1,
4,1,6,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,
2,2],[6,1,4,3,6,-1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[
3,2],[6,1,5,1],[6,1,7,-2,6,-1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,
-2,2,-1],[3,2],[5,1,6,1,5,1,3,1,6,1]],[[1,1,2,1],[3,1,2,1,1,-1,3,-2,2,-1],[4,
1,2,1,1,1,2,3,1,1],[4,1,5,-2,4,-1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,
-1,4,-2,2,-1],[5,1,3,-1,5,-1,3,2,5,-1,3,-1,5,-1]],[[2,1,1,1,2,3,1,1],[1,1,2,
1],[4,1,2,1,1,-1,4,-2,2,-1],[3,3,5,1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,
1,-1,4,-2,2,-1],[5,1,3,-1,5,-1,3,-2,5,-1,3,-1,5,-1]]],[[[1,1,2,1],[3,1,1,-1,2,
-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,1,4,1,6,-1,7,1,4,1,
6,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,
2],[6,3,4,1,6,1,4,-2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,
2,1,5,1,1,-2,2,2],[6,1,4,3,6,-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,
2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1,4,2,6,1,4,1]],[[1,1,2,1],[1,-2,2,-1,
3,2,2,2,1,-1],[4,-3]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,
2,-1,1,-1,5,-1],[4,1,6,2,4,-1,6,-2]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,
1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[6,2],[7,1,8,1,7,1,8,1]],[[1,1,2,
1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,2,4,2]],[[
1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[
7,2,6,-1,7,-1,4,-1,6,-1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,
-1,2,-2],[6,1,4,-1,6,-1,4,1,6,-1,4,2]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,
1,2,2,1,1,5,-1,2,-2],[4,2],[6,2,7,-1,6,1,7,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,
2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,1,6,-1,4,2,6,1]]],[[[2,1,1,1,2,3,1,1],[1,
1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[5,1,3,-1,5,-1,3,3,5,-1]],[[2,1,1,1,2,3,1,1],[
1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[6,-2,3,1,5,2]],[[2,1,1,1,2,3,1,1],[1,
1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[5,1,3,3,5,-1,3,-1,5,-1]]],[[[2,1,1,1,2,3,1,
1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[5,2,6,-2,5,-1,3,-1]],[[2,1,1,1,2,
3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[5,-1,3,2]],[[2,1,1,1,2,3,1,1],[1,1,
2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2,5,1,3,2,5,1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,
1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[6,1,5,1,3,1,5,1,6,1,5,-1,6,1]],[[2,1,1,1,2,
3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,1,5,-1],[6,1,3,-2,5,1,6,-1]],[[2,
1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[6,1,3,1,5,-1,6,1,5,1,
6,1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[5,2,3,-1,
5,1,6,-2]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[5,1,3,
1,6,1,5,-1,6,-1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2,
5,1,3,1,5,2,3,1,5,-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,
1,2,1,5,1,1,-2,2,2],[4,2],[4,1,6,1],[8,1,7,-1,8,1,7,1]],[[1,1,2,1],[3,1,1,-1,
2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,1,6,-1,7,1,6,1,7,
1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[
6,1,4,1,6,3,4,-2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,
2,-1,1,-1,5,-1],[4,2],[6,-1,7,1,6,-1,7,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,
-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,2,4,1]],[[2,2],[2,1,1,1,3,
-1,2,-1,1,-1,3,-1],[4,2]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,
-1,2,-2],[4,2],[4,1,6,-1,7,-1,4,1,6,1,7,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,
1],[5,1,2,2,1,1,5,-1,2,-2],[6,2,4,1,6,-1,4,2]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,
2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,-1,4,-2,6,1,4,-1,6,1]]],[[[2,1,1,1,2,3,1,
1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[5,1,3,-1,6,-1,5,2,6,-1]],[[2,1,1,
1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,1,5,1,3,2,5,1,3,1]],[[2,1,1,
1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[3,1,5,-1,6,1,5,1,6,
-2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,1,6,-1,4,-2,6,1,4,-1,6,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,
-4]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[
4,2],[7,-1,6,1,7,1,6,2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,
5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,1],[7,1,4,2,7,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,
2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-1,6,1,4,-2,6,-1,4,-1]],[[
2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,
-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,-1,6,1,7,1,6,2]],[[1,1,2,1],[
1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2,6,1,4,-1,6,2,
4,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]]],[[[1,1,2,1],[3,2,2,3,3,
1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[7,2,6,-1,7,1,6,1,4,1,6,1]],[[1,1,
2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,-1,6,1,4,1,6,-1,4,
-2]],[[1,1,2,1],[3,1,2,2,1,1,3,-1,2,-2],[4,-4]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,
1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,1,4,1,6,-1,7,1,4,1,6,
1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[
6,2,4,2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,
2,2],[4,2],[6,2],[7,1,8,1,7,1,8,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,-1,
4,1,2,-1],[1,1,2,1],[1,-2,2,-2,6,2,2,2,1,1],[5,1,7,1],[8,1,5,-1,7,1,8,1]],[[1,
1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,-1,4,1,2,-1],[1,1,2,1],[1,-2,2,-2,6,2,2,2,1,
1],[5,1,7,-1,5,-1,7,1,5,1]],[[1,1,2,1],[1,-2,2,-2,3,2,2,2,1,1],[4,5]]],[[[1,1,
2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-4,4,
-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[
4,2],[7,-1,6,1,7,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-2]]],[[[2,1,1,1,
2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[6,1,5,-1,3,-1,5,-1,3,1,5,
-1,6,1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,3,5,-2,3,
-1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[5,1,3,1,6,1,
5,-1,6,-1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,
2],[7,1,4,1,6,2,7,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,
-2],[6,1,4,-1,6,1,4,1,6,-1,4,-2]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,
1,1,5,-1,2,-2],[4,1,6,-1,4,2,6,2]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[
1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,1,6,1,7,-1,6,1,4,-1,7,-1]],[[1,1,2,
1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,2,4,-1]],[[
1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,
3,6,-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,
5,-1],[6,1,4,1,6,-2,4,-1,6,-1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,2]],[[
1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,-1,6,
2,4,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,
2,2],[4,2],[7,1,6,1,7,1,4,1,6,2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,
2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,3,6,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,
3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2,6,-2,4,-1]]],[[[1,1,2,1],[3,1,1,-1,
2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[6,1,4,1,6,1],[7,1,8,
1,7,1,8,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,
-2,2,2],[6,1,4,-1,6,1,4,2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[
5,1,2,1,5,1,1,-2,2,2],[4,2],[7,1,6,1,4,-1,6,1,7,-1]]],[[[1,1,2,1],[3,1,1,-1,2,
-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,-1],[7,2,4,2]],[[1,1,
2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[4,-3]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,
1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2,6,1,4,2,6,1]]],[[[1,1,2,1],[3,1,1,-1,
2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,1,6,1,7,-1,6,1,4,
-1,7,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,
2,2],[6,2,4,-2,6,1,4,1,6,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,
1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,3,6,1,4,-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,
2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,1],[6,1,4,2,7,2,6,2]],[[1,1,
2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,-1,6,
1,4,2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,
2],[4,1,6,1],[6,1,4,-1,6,-2,7,-2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,
2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,1,4,1,6,-1,7,1,4,1,6,2]],[[2,2],[2,
1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[
2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,1,6,-1,4,1,6,1,7,1]]],[[[1,1,2,1],[1,-2,
2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,-1,6,1,7,1,6,
2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[
6,1,4,1,6,2,4,-1,6,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]]],[[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,2,
4,-3]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]],[[1,1,2,1],[1,-2,2,-1,3,2,
2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-1,4,2,6,1,4,1]]],[[[1,1,
2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2,6,1,4,
1,6,-1,4,-1,6,-1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]],[[1,1,2,1],[1,
-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1,4,2,6,1,4,
1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,1],[6,
1,4,1,7,-1,6,1,7,1,4,2]],[[1,1,2,1],[3,1,2,2,1,1,3,-1,2,-2],[4,-4]],[[1,1,2,
1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2,6,1,4,-1,6,-1,4,1,6,
3]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,1,6,-1,4,-2,6,2,4,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,
1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-1,4,-1,6,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,
-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-1,6,1,4,2,6,-2]]],[[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2,6,-1,4,
-1,6,-1,4,-1,6,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[4,-3]],[[1,1,2,1],[1,
-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,1,6,1,7,-1,
6,-1,7,1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,
4,-1,6,1,4,1,6,2,4,2]],[[1,1,2,1],[3,1,2,2,1,1,3,-1,2,-2],[4,-4]],[[1,1,2,1],[
3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2,6,1,4,-1,6,2,4,1]]],[[[1,
1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[6,1,4,-1,6,-1,7,
1,6,1,7,1]],[[1,1,2,1],[3,1,2,2,1,1,3,-1,2,-2],[4,-4]],[[1,1,2,1],[3,2,2,3,3,
1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,-1,4,-2,6,1,4,-1,6,1]]],[[[1,1,2,
1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,1],[4,
2,6,1,7,2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,
-2,2,2],[4,-1,6,2]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,
1,5,1,1,-2,2,2],[6,2,4,-1,6,-1,4,-1,6,-1,4,-2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,
2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[6,1,7,1],[7,1,8,2]]],[[[1,1,
2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,2,4,-2,6,
1,4,1,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,
5,-1],[4,1,6,-1,4,-1,6,2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,
1,5,-1,2,-1,1,-1,5,-1],[4,2,6,-1,4,-1,6,-1,4,-1,6,-1]],[[1,1,2,1],[1,-2,2,-1,
3,2,2,2,1,-1],[4,-3]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]]],[[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-1,6,1,
4,2,6,-2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,
5,-1],[4,1,6,-1,4,-1,6,-2]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]]],[[[
1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[7,1,6,1,4,-1,
6,2,7,1]],[[1,1,2,1],[3,1,2,2,1,1,3,-1,2,-2],[4,2]],[[1,1,2,1],[3,2,2,3,3,1],[
1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,1,6,2,4,-1,6,-1]]],[[[1,1,2,1],[3,2,2,
3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[7,1,4,1,6,1,7,1,6,-2]],[[1,1,
2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2,6,-2,4,1,6,-1]],[[1,
1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2,6,1,4,-1,6,2,4,
1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,
2],[4,2],[6,2],[7,1,8,1,7,1,8,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,
2,1],[5,1,2,1,5,1,1,-2,2,2],[6,2,4,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,
1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,3,6,-1]]],[[[1,1,2,1],[3,1,1,-1,2,
-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,1,6,-1,7,-1,4,1,6,
-1,7,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,
2],[6,1,4,3,6,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,
5,1,1,-2,2,2],[4,1,6,1,4,-2,6,1,4,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,
1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[6,1,4,1,6,1],[8,1,7,1,8,1,7,1]],[[
1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,2,4,
-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[
6,1,4,3,6,-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,
1,-1,5,-1],[6,1,4,-1,6,1,4,2,6,1,4,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,
2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,-1,6,2,4,1]]],[[[1,1,2,1],[3,2,2,3,3,1],[
1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,-1,4,-2,6,1,4,-1,6,1]],[[1,1,2,1],[3,
2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,1,6,-2,4,-1,6,-1]],[[1,1,
2,1],[3,1,2,2,1,1,3,-1,2,-2],[4,-4]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,
1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,1,6,1,7,-1,6,1,4,-1,7,-1]],[[1,1,
2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,-2,6,
1,4,1,6,-1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,
2,6,-1,4,-1,6,-2,4,1,6,-1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,
-1,2,-2],[4,2,6,-2,4,-1,6,1,4,-1,6,-1]],[[1,1,2,1],[3,1,2,2,1,1,3,-1,2,-2],[4,
2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,-1,4,1,2,-1],[1,1,2,1],[1,-2,2,-2,
6,2,2,2,1,1],[5,1,7,1],[8,2,7,2,8,2]],[[1,1,2,1],[1,-2,2,-2,3,2,2,2,1,1],[4,
5]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,1,6,1,
4,-2,6,1,4,-1,6,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,
-2],[6,1,4,-1,6,1,4,2,6,-1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,-1,4,
1,2,-1],[1,1,2,1],[1,-2,2,-2,6,2,2,2,1,1],[5,1,7,1],[7,2],[9,1,8,1,9,1,8,
1]],[[1,1,2,1],[1,-2,2,-2,3,2,2,2,1,1],[4,5]],[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,
-1,3,-1,4,1,2,-1],[5,-2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,
1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,1,6,-1,7,-1,6,-1,4,-1,6,-1,7,-1]],[[1,1,2,1],[
1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,3,4,-1]]],[[[1,
1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,2,4,1,
6,-1,4,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,
5,-1],[4,2,6,1,4,-1]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[
5,1,6,2,5,1],[5,1,4,1,5,1],[7,-1,8,2]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,
1],[4,1,5,1],[5,1,6,2,5,1],[7,-3]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,
-1,4,-2,2,-1],[3,2],[5,2],[7,1,6,-2,7,-1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,
2,1,1,-1,4,-2,2,-1],[5,2,3,-1,5,1,3,3]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,
1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[8,2,7,-1,8,1]],[[1,1,2,1],[1,-2,
3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[7,-1,8,
2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,-1,4,1,2,-1],[1,1,2,1],[1,-2,2,-2,
6,2,2,2,1,1],[5,1,7,1],[7,2],[9,1,8,1,9,1,8,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1,
4,-1,3,-1,4,1,2,-1],[1,1,2,1],[1,-2,2,-2,6,2,2,2,1,1],[5,-2,7,-1,5,1,7,3]],[[
1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,-1,4,1,2,-1],[5,-2]]],[[[2,1,1,1,2,3,1,1],[
1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[3,1,5,-1,6,1,5,1,6,-2]],[[2,1,1,1,2,
3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[5,2,3,-1,5,1,3,3]]],[[[1,1,2,1],[1,
-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[8,1,7,-1,8,
-1,7,1,8,-1,7,-2]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,
2,5,1],[5,1,4,1,5,1],[7,1,8,-1,7,2,8,1]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,
1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[8,1,7,2,8,1,7,-1,8,1]]],[[[1,1,2,
1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[7,1,
8,2,7,1,8,-1]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,
1],[5,1,4,1,5,1],[7,-1,8,2]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,
1],[5,1,6,2,5,1],[5,1,4,1,5,1],[8,1,7,1,8,-1,7,1,8,1]]],[[[1,1,2,1],[1,-2,3,
-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[7,1,8,-1,7,2,8,
1]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,
1,5,1],[8,1,7,-2,8,-1]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[
5,1,6,2,5,1],[5,1,4,1,5,1],[8,1,7,-1,8,-1,7,1,8,1]]],[[[2,1,1,1,2,3,1,1],[1,1,
2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[6,1,5,1,3,1,5,1,6,1,5,-1,6,1]],[[2,1,1,1,
2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[5,1,3,1,6,1,5,-1,6,-1]],[[
2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[5,1,6,-1,5,-1,6,
-2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[6,1,4,1,6,1],[4,2,7,-2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,
1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1],[7,2,4,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,
-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-1],[7,2,6,-1]]],[[[1,1,2,1],[
1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[7,2],[8,
2,9,1,8,1,7,1,9,1]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,
6,2,5,1],[5,1,4,1,5,1],[8,1,7,-1,8,-1]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,
1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[7,2],[9,1,7,1,8,2,9,-1]]],[[[1,1,
2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,2,4,1,5,-1],[5,2,4,1,5,-2,6,1],[7,
3,6,2]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[5,2,4,1,5,-2],[4,1,5,2,4,1,
5,-1],[7,1,6,1,7,1,6,-1,7,-2]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,
1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[7,-1,8,2]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,
2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[8,1,7,-1,8,-1]]],[[[1,1,2,
1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[7,2,
8,1,7,1,8,1,7,1,8,-1]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,
1,6,2,5,1],[5,1,4,1,5,1],[8,3,7,1,8,1]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,
1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[8,2,7,-1,8,-1,7,-2]],[[1,1,2,
1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[8,1,
7,1,8,-1]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,
1],[5,1,4,1,5,1],[7,2],[9,-1,8,-1,7,-1,8,-1,9,-1]],[[1,1,2,1],[1,-2,3,-1,2,-1,
3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[7,1,5,1,4,1,5,1]]],[[[1,1,2,1],[1,-2,
2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,1,4,1,6,-1,7,
-1,6,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,1,6,1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[
6,2,4,-1,6,1,4,1,6,1,4,-2]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,
-1,2,-2],[6,1,4,2,6,-2,4,-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,
1,1,1,5,-1,2,-1,1,-1,5,-1],[6,2,4,1,6,-1,4,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,
1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,2,6,1,4,1]]],[[[1,1,2,1],[1,
-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[7,2,8,
2]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,
1,5,1],[8,2,7,-1,8,1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,
-1],[3,2],[5,1,3,1,6,1,5,-1,6,-1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,
4,-2,2,-1],[3,1,5,-1,3,1,5,-1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,
4,-2,2,-1],[3,2],[6,1,5,1,3,1,5,1,6,1,5,-1,6,1]],[[2,1,1,1,2,3,1,1],[1,1,2,
1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2,5,2,3,1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,
1],[5,1,2,2,1,1,5,-1,2,-2],[4,2,6,-2,4,-1,6,1,4,-1,6,1]],[[1,1,2,1],[3,2,2,3,
3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[7,1,6,-2,7,1,4,1,6,1]]],[[[1,1,
2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[7,1,6,1,7,1,6,1,4,
1,6,1,7,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[
7,2,6,2,4,-1,6,1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,
-2],[4,2,6,-2,4,-1,6,1,4,-1,6,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,
1,1,5,-1,2,-2],[4,2],[6,-1,7,1,6,1,4,1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,
2,1,1,-1,4,-2,2,-1],[3,2],[5,1,6,1],[7,1,6,1,7,1]],[[2,1,1,1,2,3,1,1],[1,1,2,
1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[5,1,3,1,6,1,5,-1,6,-1]]],[[[2,1,1,1,2,3,1,
1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[6,1,5,-1,6,-2,5,1,3,1,5,1]],[[2,
1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[3,1,5,2,6,1,5,1,6,
-1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,1,5,-1],[5,1,
6,-2,3,-2]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[5,1,3,-3,5,
2,3,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,2],[7,1,4,1,6,-1,7,1,4,1,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,
2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,3,4,1,6,-1]]],[[[1,1,2,1],[1,-2,2,-1,
3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,1,6,1,7,1,6,2,4,
1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[
6,1,4,1,6,1,4,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,
-1,1,-1,5,-1],[6,2,4,1,6,-1,4,1,6,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,
2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1,4,1,6,1]]],[[[1,1,2,1],[3,2,2,3,3,
1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,1],[4,2,7,-1,6,-1,7,1,6,1]],[[1,1,
2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,-1,4,1,6,-1]]],[[[
2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,1,5,2,3,1,5,-1,3,
-2]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,1,5,1],[6,2,3,
2]]],[[[1,1,2,1],[3,1,2,1,1,-1,3,-2,2,-1],[4,1,2,1,1,1,2,3,1,1],[4,1,5,-2,4,
-1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2,5,-1,3,-1,5,1,
3,-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,
2],[4,2],[6,2,7,1,6,1,4,1,6,1,7,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,
1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,2,6,2,4,1]]],[[[1,1,2,1],[1,-2,2,-1,3,
2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[6,-1,7,1,4,1,6,1]],[[1,
1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,2,
4,-3]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,
2],[4,2],[6,1,4,1,6,1],[7,1,8,1,7,1,8,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,
1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,2,4,-2,6,-1,4,-1]]],[[[2,1,1,1,2,3,1,
1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[6,1,3,1,5,-1,6,1,5,2]],[[2,1,1,1,
2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,1,5,1,3,1,5,1]]],[[[2,1,1,1,2,
3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,1,5,-2,3,2,5,2]],[[2,1,1,1,2,3,1,
1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,1,5,-1,3,-1,5,-1,3,-2]]],[[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[4,1,6,
1,7,1,6,1,7,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,
1,-1,5,-1],[4,2],[7,1,6,-1,4,1,6,-1,7,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,
-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,2,4,-2,6,1,4,1,6,-1]],[[1,1,2,1],[
1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,-3,6,-4]]],[[[
2,1,1,1],[2,1,3,-1,1,1,2,2,3,1],[4,3],[1,1,2,1],[2,1,1,1,6,1,2,1,6,1],[5,1,7,
1],[7,1,5,1],[7,1,8,1,9,1,7,1,9,1,8,-1]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1],[4,
5]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[6,1,7,
1],[7,1,8,2]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,
4,-1,6,2,4,1,6,-1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,
-2],[4,1,6,-1,4,-1,6,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,
2,-2],[6,1,4,1,6,1,4,1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,
-1,2,-2],[4,2],[7,1,6,1,7,1,6,-1,7,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,
1,2,2,1,1,5,-1,2,-2],[4,1,6,1,4,2,6,1,4,1]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,
2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[8,1,7,-1,8,-1]],[[1,1,2,
1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[7,-2]]],[[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-2,4,2,
6,-1,4,-1,6,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,
1,-1,5,-1],[4,1,6,-1,4,-3,6,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,
-4]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,1,6,1,4,2,6,-2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,
-1,2,-1,1,-1,5,-1],[4,2,6,1,4,1,6,1,4,-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,
-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-1,4,2,6,-1,4,-1]],[[1,1,2,1],[
1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,2,4,2]]],[[[1,
1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2,6,2,4,-1,6,1]],[[
1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,2,4,-1]]],[[[
1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,
1],[7,1,8,2,7,-2]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,
2,5,1],[5,1,4,1,5,1],[7,-1,8,2]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,
4,-2,2,-1],[5,1,3,1,5,1,3,1,5,-1,3,-2]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,
1,-1,4,-2,2,-1],[5,1,3,1],[6,1,3,2,6,1]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,
1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[7,-1,8,2,7,2]],[[1,1,2,1],[1,-2,
3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[7,1,8,2]]],[[[
1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[
7,1,6,-1,7,1,6,-1,7,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,
-1,2,-1,1,-1,5,-1],[6,1,4,-1,6,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[
1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,1,6,1,7,1,6,-1,7,-1]],[[1,1,2,1],[3,
1,1,-1,2,-1,3,1,2,1,3,1],[4,-3]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[
2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,1,4,2,6,1,4,-1,6,1]],[[1,1,2,1],[1,-2,
2,-1,3,2,2,2,1,-1],[4,2]]],[[[2,1,1,1],[2,1,3,-1,1,1,2,2,3,1],[4,3],[1,1,2,
1],[2,1,1,1,6,1,2,1,6,1],[7,1,5,1],[5,1,7,-1,5,1,8,1,7,1,8,2]],[[1,1,2,1],[2,
1,1,1,3,1,2,1,3,1],[4,5]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,
1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-1,6,-1,4,2,6,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,
1,-1],[4,-3]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,
1,-1,5,-1],[4,2],[4,1,6,-1,7,-1,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,
2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,-1,6,-1,4,1,6,1]]],[[[1,1,2,1],[3,1,
1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,2,4,-1,6,-1,4,-1,6,
-1,4,-2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,
2,2],[4,1,6,1,4,2,6,1]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[5,2,4,1,
5,-2],[4,1,5,2,4,1,5,-1],[6,1,7,1],[8,2,7,1,6,1,8,-1]],[[1,1,2,1],[1,-2,3,-1,
2,-1,3,2],[2,1,1,1],[4,1,5,2,4,1,5,-1],[6,-3]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,
1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,-1,6,-2,4,-1,6,-1]],[[1,1,
2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,3,6,
1,4,-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,
2,2],[4,2],[7,1,6,1],[7,1,8,2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,
1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,2,6,1,4,-2]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,
2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,1,6,-1,4,-1,6,-1,7,2,6,
1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[
6,1,4,3,6,1,4,-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,
1,5,1,1,-2,2,2],[4,2],[7,1,6,1,7,-1,6,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,
1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,2,4,1,6,-1,4,2]]],[[[1,1,2,1],[3,2,2,3,
3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[7,1,6,-1,4,-1,6,-1,7,1,6,2]],[[
1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,1,4,2,6,1,4,
1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[5,1,3,-1,6,
-1,5,2,6,-1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[5,1,3,
1],[6,1,3,2,6,1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,
2],[6,-2,5,-1,6,1,5,1,3,1]],[[1,1,2,1],[3,1,2,1,1,-1,3,-2,2,-1],[4,2,2,1,1,1,
2,3,1,1,4,-2]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,1,5,1,
3,1,5,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,
5,-1],[4,1,6,-1,4,-3,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,
5,-1,2,-1,1,-1,5,-1],[6,1,4,-1],[7,2,6,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,
1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[4,1,6,-1,7,1,6,1,4,1,7,1]],[[1,
1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2,6,2,
4,1,6,-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,
-2,2,2],[4,2],[7,1,6,3,4,-1,7,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,
1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,2,6,-1,4,-1,6,-1]]],[[[1,1,2,1],[1,-2,2,
-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-1],[7,1,4,-2,7,
-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[
6,1,4,-1,6,1,4,1,6,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]]],[[[1,1,2,
1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[8,
2],[9,1,7,2,9,1]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,
2,5,1],[5,1,4,1,5,1],[7,1,8,2,7,-1,8,-1]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[
2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[8,1,7,-1,8,-1,7,1,8,-1]],[[1,
1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[7,-2]]],[[[1,1,
2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,
1,4,1,6,1,4,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,
1,-1,5,-1],[4,1,6,1],[7,1,4,-2,7,-1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,
1,-1,4,-2,2,-1],[3,2],[5,1,6,1],[7,1,6,1,7,1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[
4,1,2,1,1,-1,4,-2,2,-1],[5,1,3,2,5,-1,3,2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,
-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,1,6,-1,4,1,6,1,7,1]],[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2,6,1,4,1,
6,-2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,2],[7,1,6,1,7,-1,6,2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,
1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,1,6,-2,7,-1,6,1]],[[1,1,2,1],[1,-2,2,-1,3,
2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-1,4,1,6,2]],[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-1,4,
-2,6,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,-1,4,1,2,-1],[1,1,2,1],[1,-2,
2,-2,6,2,2,2,1,1],[5,1,7,1],[7,1,8,1],[8,1,9,2,8,1]],[[1,1,2,1],[1,-2,2,-2,3,
2,2,2,1,1],[4,5]],[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,-1,4,1,2,-1],[1,1,2,
1],[1,-2,2,-2,6,2,2,2,1,1],[5,1,7,1],[8,1,5,-1,7,-1,5,1,7,-1,8,1]]],[[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,2,4,-3,6,
-2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[
4,-1,6,1,4,-1,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,
-1,1,-1,5,-1],[4,1,6,1,4,-2,6,-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,
2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[4,1,6,1],[6,1,8,1,7,-1,8,1,6,1,7,
1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]],[[1,1,2,1],[1,-2,2,-1,3,2,2,
2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[4,1,6,1],[7,1,8,-1,7,1,8,
-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,1,6,1],[7,2,4,-2]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]],[[1,1,
2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1],[
6,1,7,-1,6,1,7,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,
2,-1,1,-1,5,-1],[4,2],[7,1,6,-1,4,1,6,2,7,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,
3,-1],[4,-4]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,
-1,5,-1],[4,1,6,-1,4,1,6,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,
1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,1,6,3,4,1,6,1,7,1]],[[1,1,2,1],[1,-2,2,-1,3,
2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,-1,6,1,4,-1,6,1]],[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,1,6,
1,4,1,7,1,6,-1,7,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,-1,4,1,2,-1],[1,
1,2,1],[1,-2,2,-2,6,2,2,2,1,1],[5,1,7,1],[7,1,8,1],[9,1,8,1,9,1,8,1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1,4,-1,3,-1,4,1,2,-1],[1,1,2,1],[1,-2,2,-2,6,2,2,2,1,1],[
7,2],[5,1,7,1,8,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,-1,4,1,2,-1]]],[[[1,
1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[4,
1,6,-1,7,-1,4,1,6,1,7,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,
1,2,1,5,1,1,-2,2,2],[4,3,6,1,4,-1,6,-1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,
1],[5,1,2,2,1,1,5,-1,2,-2],[4,2,6,1,4,1,6,1,4,-1,6,-2]],[[1,1,2,1],[3,2,2,3,3,
1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,-2,6,1,4,-1,6,1]]],[[[1,1,2,1],[3,
1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,2,6,1,7,1,
6,-1,4,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,
-2,2,2],[4,2],[7,1,6,-1,7,-1,6,1,4,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,
1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,-1],[7,1,4,-2,7,-1]],[[1,1,2,1],[3,
1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,3,6,1,4,1,6,
-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,2],[7,1,6,-1,7,1,6,1,4,-1,6,-1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[
4,-4]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,2],[7,1,6,-1,4,1,6,2,7,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,
-4]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[4,-3]]],[[[1,1,2,1],[1,-2,2,-1,3,2,
2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,1,6,-1,4,1,6,2,7,1]],[[
2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,
-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,-1,6,-1,4,1,6,1]]],[[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,1,4,
1,6,2,7,1,6,1,4,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,
-1,1,-1,5,-1],[4,2],[7,1,6,1,4,1,6,1,7,-1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,
-1],[4,-4]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,
-2,2,2],[4,2,6,3,4,1,6,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[
5,1,2,1,5,1,1,-2,2,2],[6,2,4,-1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,
-1,4,-2,2,-1],[3,1,5,-2,3,2,5,1,3,1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,
-1,4,-2,2,-1],[3,2],[5,-1,3,1,5,1,6,-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,
3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[6,2,7,2,6,1,4,1,6,1]],[[1,1,2,
1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2,6,1,4,2,
6,1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2,6,1,4,
1,6,1,4,-1,6,-2]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[
6,1,4,1,6,-1,4,1,6,1,4,2]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,
2,-1],[3,1,5,-2,3,2,5,1,3,1]],[[1,1,2,1],[3,1,2,1,1,-1,3,-2,2,-1],[4,1,2,1,1,
1,2,3,1,1],[4,1,5,-2,4,-1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,
2,-1],[3,2],[6,1,5,1,3,1,5,1,6,1,5,1,6,-1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,
2,1,1,-1,4,-2,2,-1],[3,1,5,1,3,1,5,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,
1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,1,6,1,4,1,6,1,7,1,4,1]],[[1,1,2,
1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,3,6,-1,4,1,
6,1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,1,5,1,3,2,5,
1,3,1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,1,5,1,3,-2,5,
-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[6,1,4,-1,6,1,4,-2,6,1,4,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[
2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-1,4,-2,6,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,
3,1,4,-1,3,-1,4,1,2,-1],[1,1,2,1],[1,-2,2,-2,6,2,2,2,1,1],[5,1,7,1],[5,1,7,-1,
8,-3,7,1]],[[1,1,2,1],[1,-2,2,-2,3,2,2,2,1,1],[4,5]]],[[[1,1,2,1],[2,1,1,1],[
2,1,3,1,4,-1,3,-1,4,1,2,-1],[1,1,2,1],[1,-2,2,-2,6,2,2,2,1,1],[5,1,7,1],[8,1,
7,1,8,2,7,1]],[[1,1,2,1],[1,-2,2,-2,3,2,2,2,1,1],[4,5]]],[[[1,1,2,1],[1,-2,2,
-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[4,1,6,1],[8,1,7,
-1,6,1,8,1,7,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,
1,-1,5,-1],[4,2],[7,1,6,-1,7,1,6,1,4,-1,6,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,
1,4,-1,3,-1,4,1,2,-1],[1,1,2,1],[1,-2,2,-2,6,2,2,2,1,1],[5,1,7,1],[8,1,7,1,5,
-1,7,-1,8,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,-1,4,1,2,-1],[1,1,2,1],[1,
-2,2,-2,6,2,2,2,1,1],[5,1,7,1],[7,1,8,1],[9,2,8,1]]],[[[1,1,2,1],[1,-2,2,-1,3,
2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,1,6,1,7,-1,6,2]],[[1,
1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,
-1,6,-1,4,1,6,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,
-1,1,-1,5,-1],[4,2],[7,1,4,1,6,1,7,-1,6,-1,7,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,
2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-1],[7,1,6,-1,7,1]]],[[[1,
1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,
1,6,1,4,1,7,1,6,-1,7,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,
5,-1,2,-1,1,-1,5,-1],[4,1,6,1,4,-2,6,-1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,
-1],[4,-4]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,
-1,5,-1],[4,2],[4,1,6,1],[6,1,8,1,7,-1,8,1,6,1,7,1]],[[2,2],[2,1,1,1,3,-1,2,
-1,1,-1,3,-1],[4,-4]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,
2,-1,1,-1,5,-1],[4,2],[7,1,4,1,6,1,7,-1,6,-1,7,-1]]],[[[1,1,2,1],[1,-2,2,-1,3,
2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,2,4,1,6,-1,4,1,6,-1]],[[1,
1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-1,
4,1,6,2]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[
4,1,6,1,7,1,6,1,7,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,
-2],[4,2],[7,1,6,1,7,-1,6,1,4,1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,
2,1,1,5,-1,2,-2],[4,2],[7,1,6,1,7,-1,6,1,4,1,6,1,7,1]],[[1,1,2,1],[3,2,2,3,3,
1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,-1,6,1,4,1,6,-1,4,-2]]],[[[1,1,2,
1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[7,1,6,-1,7,-1,6,2,4,
1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,-1,6,1,
4,2,6,2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,
5,-1],[4,1,6,-1,4,1,6,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,
5,-1,2,-1,1,-1,5,-1],[4,-1,6,1,4,-1,6,1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,
2,1,1,-1,4,-2,2,-1],[3,2],[5,1,3,1,6,1,5,-1,6,-1]],[[1,1,2,1],[3,1,2,1,1,-1,3,
-2,2,-1],[2,1,1,1,2,3,1,1,4,1],[4,1,5,2,4,1]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,
2],[2,1,1,1],[4,1,5,1],[6,1,5,1],[6,1,7,1,4,-2,7,1],[5,1,4,1],[9,1,5,-1,9,-1,
5,-2,4,-1],[10,1,8,1,10,-1,8,1,10,2]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,
1],[4,1,5,1],[6,1,5,1],[6,1,7,1,4,-2,7,1],[5,1,4,1],[9,1,5,-1,9,-1,5,-2,4,
-1],[10,2,8,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,
-1,1,-1,5,-1],[4,2,6,1,4,-1,6,1,4,-1,6,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,
-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,2,4,-1,6,1]]],[[[2,1,1,1,2,3,1,
1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[6,1,5,1,3,1,5,1,6,1,5,-1,6,1]],[[
2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[6,1,5,-1,6,-1,5,1,
3,1,5,1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[
7,1,6,1,7,-1,6,-1,4,-1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,
2,-2],[6,1,4,2,6,1,4,-2]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,
-1],[3,1,5,-1,3,2,5,2,3,1]],[[1,1,2,1],[3,1,2,1,1,-1,3,-2,2,-1],[2,1,1,1,2,3,
1,1,4,1],[4,1,5,2,4,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,
5,-1,2,-1,1,-1,5,-1],[6,1,4,-1,6,-1,4,2,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,
-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-1,4,1,6,2]]],[[[2,1,1,1],[2,1,
3,-1,1,1,2,2,3,1],[4,3],[1,1,2,1],[2,1,1,1,6,1,2,1,6,1],[5,1,7,1],[5,1,7,-2],[
9,1,8,1,9,1,8,1]],[[2,1,1,1],[2,1,3,-1,1,1,2,2,3,1],[4,3],[1,1,2,1],[2,1,1,1,
6,1,2,1,6,1],[7,1,5,1,7,-1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,
1,5,-1,2,-2],[6,1,4,1,6,1,4,-2,6,1,4,1,6,-1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,
1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[7,1,4,1,6,2,7,1]]],[[[1,1,2,1],[3,1,1,-1,2,
-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[6,1,4,1,6,1,7,1,6,2,7,
1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[
4,2],[7,2,6,2,4,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,
2,-1,1,-1,5,-1],[6,1,4,-1,6,-1,4,-2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,
2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,2,4,-2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,
1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-1,4,-2,6,2]],[[1,1,2,1],[1,
-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,2,4,1,6,-1,4,1,6,
-1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[7,1,
6,-1,7,-1,6,2,4,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,
-2],[4,2,6,1,4,1,6,2]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,
2,-2],[4,2],[6,1,4,1,6,1,7,1,6,1,7,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,
1,2,2,1,1,5,-1,2,-2],[4,1,6,1],[4,2,7,2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,
-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,1,6,-1,4,1,6,2,7,1]],[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,
-2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,2],[7,1,6,-1,4,1,6,2,7,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[
2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-1,4,1,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,
2,1,-1],[4,-3]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,
-1,1,-1,5,-1],[4,2],[7,1,4,1,6,1,4,1,6,1,7,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,
3,-1],[4,-4]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,
-1,5,-1],[4,1,6,-1,4,-2,6,2,4,1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,
2,1,1,5,-1,2,-2],[4,2],[7,2,6,1,7,-1,6,1,7,-1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,
2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,1,6,1,4,-2,6,2,4,-1]]],[[[1,1,2,1],[1,-2,
3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[8,1,7,1,8,2,7,
2]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,
1,5,1],[7,1,8,1,7,1,8,1]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,
1],[5,1,6,2,5,1],[5,1,4,1,5,1],[8,1,7,1],[8,1,9,1,8,1,9,1]],[[1,1,2,1],[1,-2,
3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[8,2,7,-1,8,-1,
7,-2]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,
1,4,1,5,1],[7,2,8,-1,7,-1,8,1,7,1]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,
1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[8,1,7,2,8,-1]],[[1,1,2,1],[1,-2,3,
-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[8,1,7,1],[8,1,9,
1,8,1,9,1]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,
1],[5,1,4,1,5,1],[8,1,7,-1,8,-1,7,1,8,1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,
2,1,1,-1,4,-2,2,-1],[3,2],[5,1,6,-1,5,-1,6,-2]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[
4,1,2,1,1,-1,4,-2,2,-1],[3,1,5,-1,3,1,5,-1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,
1,2,1,1,-1,4,-2,2,-1],[5,1,3,1],[6,1,3,2,6,1]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,
2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[8,1,7,1,8,1,7,1]],[[1,1,2,
1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[7,1,
8,1,7,1,8,1]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,
1],[7,-3]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,
1],[5,1,4,1,5,1],[7,1,8,1,7,1,8,1]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,
1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[7,-1,8,2]],[[1,1,2,1],[1,-2,3,-1,2,
-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[8,1,7,2,8,-1]]],[[[2,
1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[5,2,3,-1,5,1,3,3]],[[2,1,1,
1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[5,1,6,-1,5,-1,6,-2]]],[[[
1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,
1],[8,1,7,1,8,3]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,
2,5,1],[5,1,4,1,5,1],[7,1,8,1,7,1,8,1]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,
1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[8,2,7,-1,8,1]],[[1,1,2,1],[1,-2,
3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[8,1,7,2,8,
-1]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,
1,5,1],[7,1,8,1,7,1,8,1]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,
1],[5,1,6,2,5,1],[5,1,4,1,5,1],[7,2,8,2]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,
1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[8,1,7,2,8,-1]]],[[[2,1,1,1,2,3,
1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[3,1,5,-1,6,-2,5,1,3,1]],[[2,1,
1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2,5,2,3,1]]],[[[2,1,1,1,2,
3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[5,1,6,-1,5,-1,6,-2]],[[2,1,1,
1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[5,1,3,2,5,-2,3,-1]]],[[[1,1,2,
1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[8,1,
7,-1,8,1,7,1]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,
1],[7,1,5,-1,4,-1,5,-1,7,1]]],[[[1,1,2,1],[1,-2,3,-1,2,-1],[4,1,1,-1,2,-1,3,
-1,4,-1],[1,1,2,1],[2,1,1,1],[2,1,7,1,6,1,7,-1,6,-2,2,-1],[5,1,8,1],[5,2,9,2,
8,1]],[[1,1,2,1],[1,-2,3,-1,2,-1],[4,1,1,-1,2,-1,3,-1,4,-1],[1,1,2,1],[2,1,1,
1],[2,1,7,1,6,1,7,-1,6,-2,2,-1],[5,-1,8,-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,
2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[4,1,6,3,7,-2]],[[1,1,2,1],[3,
1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,-1,4,-2,6,
-2]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,
2],[4,2],[6,1,7,2,6,-2,7,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,
1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,-3,6,-2]]],[[[2,1,1,1],[2,1,3,-1,1,1,2,2,3,
1],[4,3],[1,1,2,1],[2,1,1,1,6,1,2,1,6,1],[5,1,7,1],[7,1,5,1],[8,2,9,-1,8,-1,9,
-1,7,-1]],[[2,1,1,1],[2,1,3,-1,1,1,2,2,3,1],[4,3],[1,1,2,1],[2,1,1,1,6,1,2,1,
6,1],[7,1,5,1],[7,1,8,1],[5,1,7,1,9,-1,8,-1,9,-1]]],[[[1,1,2,1],[3,2,2,3,3,
1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[4,1,6,1],[7,1,8,-1,6,-1,7,-1,6,-1,
8,-1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,1],[
6,1,7,-1,6,1,7,1,4,2]]],[[[2,1,1,1],[2,1,3,-1,1,1,2,2,3,1],[4,3],[1,1,2,1],[2,
1,1,1,6,1,2,1,6,1],[5,1,7,1],[5,1,7,-1,5,1,7,-1,8,1,7,1,8,1]],[[2,1,1,1],[2,1,
3,-1,1,1,2,2,3,1],[4,3],[1,1,2,1],[2,1,1,1,6,1,2,1,6,1],[7,1,5,1],[7,1,8,1],[
5,1,7,1,9,-1,8,-1,9,-1]]],[[[2,1,1,1],[2,1,3,-1,1,1,2,2,3,1],[4,3],[1,1,2,1],[
2,1,1,1,6,1,2,1,6,1],[7,1,5,1],[7,1,5,1,7,1,8,1,7,1,8,2]],[[2,1,1,1],[2,1,3,
-1,1,1,2,2,3,1],[4,3],[1,1,2,1],[2,1,1,1,6,1,2,1,6,1],[7,1,5,1,7,1,5,1,7,-1,5,
1,7,-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,
5,-1],[4,1,6,1],[6,1,4,-1,6,-1,7,2,6,-1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,
-1],[4,-4]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,
5,-1],[6,1,4,1,6,1],[4,2,7,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,
1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1],[7,1,4,1,6,1,7,1]],[[1,1,2,1],[1,-2,2,-1,3,
2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,2,6,1,4,2]]],[[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-1,6,1,
4,2,6,-2]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]],[[1,1,2,1],[1,-2,2,-1,
3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1,4,2,6,1,4,1]],[[1,
1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,
1,6,-1,7,1,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,
1,-1,5,-1],[4,2],[7,-1,6,-1,4,1,6,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[
2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,1,6,-1,7,1,6,1]],[[1,1,2,1],[1,-2,
2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1,4,2,6,1,4,
1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]],[[1,1,2,1],[1,-2,2,-1,3,2,2,
2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[6,-1,7,1,4,1,6,1]],[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-3,6,
-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,
2],[4,2],[7,1,4,1,6,-1,4,-1,6,-1,7,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,
1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,2,4,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,
2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,1],[6,1,7,-1,6,1,7,1]],[[1,1,
2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,1,
4,1,6,2,7,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,
1,-1,5,-1],[6,1,4,-1,6,2,4,1,6,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,
2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-2,4,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,
2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,-1,6,2,4,1]],[[1,1,2,1],[1,-2,
2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,-2,4,-1,6,
-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[6,1,4,1,6,1],[4,2,7,2]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]],[[1,
1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,
1,6,-1,7,1,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,
1,-1,5,-1],[6,1,4,2,6,1,4,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,
1,1,5,-1,2,-1,1,-1,5,-1],[6,2,4,-1,6,2,4,1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[
4,1,2,1,1,-1,4,-2,2,-1],[5,1,3,1,5,1,3,-2,5,2,3,1]],[[2,1,1,1,2,3,1,1],[1,1,2,
1],[4,1,2,1,1,-1,4,-2,2,-1],[5,1,3,-1,5,-1,3,3]],[[2,1,1,1,2,3,1,1],[1,1,2,
1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[5,1,3,-1,5,1,6,-2,5,1]],[[2,1,1,1,2,3,1,
1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[3,1,5,-1,6,-2,3,1,5,1]],[[2,1,1,
1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[6,1,5,-1,6,-1,5,1,3,
1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[6,1,4,2,6,1,4,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,
-1,2,-1,1,-1,5,-1],[6,1,4,-1,6,2,4,1,6,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,
-1],[4,-4]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,
5,-1],[6,2,4,-1,6,2,4,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,
5,-1,2,-1,1,-1,5,-1],[4,2,6,1,4,2,6,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,
-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,-1,6,-1,4,1,6,1]],[[2,2],[2,
1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[
2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,2,4,-1,6,2,4,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,
2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1,4,2,6,1,4,1]],[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,1,6,
-1,7,1,6,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,
1,-2,2,2],[6,2,4,3,6,-2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[4,-3]],[[1,
1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[6,
-1,7,1,4,1,6,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,
1,1,-2,2,2],[4,1,6,-1],[7,2,4,2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,
2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,1,6,-3]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,
-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,1],[4,2,7,2]],[[1,1,2,1],[
1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1,4,-1,6,1,
4,-1,6,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]],[[1,1,2,1],[1,-2,2,-1,
3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,2,6,1,4,2]]],[[[1,1,
2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1],[
4,2,7,2,6,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]],[[1,1,2,1],[1,-2,2,
-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-3,6,-1]],[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,-1,6,
-1,4,1,6,1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,
1,4,-1,6,1,4,-2,6,1,4,1,6,-1,4,-1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,
2,1,1,5,-1,2,-2],[4,1,6,1],[6,1,7,1,6,1,7,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,
1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,-1,4,1,6,2,4,-1,6,1]]],[[[1,1,2,1],[1,-2,2,
-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,2,6,1,4,2]],[[1,1,
2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,
-2,4,-1,6,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,
-1,5,-1],[4,2,6,1,4,2,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,
1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-1,6,-2,4,1,6,-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,
2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,1,6,2,7,-1]],[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,-1,6,2,4,
1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,
2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,2,4,1,6,2,4,-1]]],[[[1,1,2,1],[
1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,1],[4,
2,7,2]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-2]],[[1,1,2,1],[1,-2,2,-1,3,
2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,-2,4,-1,6,-1]],[[1,
1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,2,
6,1,4,2]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,
-2,2,2],[4,1,6,1],[7,1,4,1,6,-1,4,-2,6,-1,7,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,
1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,-1,6,2]],[[1,1,2,1],[3,1,1,-1,
2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[6,1,4,-1,6,1],[7,1,
8,1,7,1,8,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,
1,-2,2,2],[4,2],[7,1,6,2,4,1,7,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[
1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[6,1,4,1,7,1,6,1,7,1]],[[1,1,2,1],[3,1,
1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,1,4,-2,6,1,4,
1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,
2],[4,2],[7,1,6,1,7,-1,6,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,
1],[5,1,2,1,5,1,1,-2,2,2],[6,2,4,-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,
1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2,6,1,4,1,6,1]],[[1,1,2,1],[3,1,1,-1,2,
-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,2,4,-1]]],[[[1,1,2,1],[3,
2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[7,1,4,1,6,2,7,1]],[[1,1,2,
1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2,6,1,4,1,6,2]]],[[[1,1,
2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,1,
6,1],[7,1,8,2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,
1,-2,2,2],[4,-1,6,2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,
-1,2,-1,1,-1,5,-1],[6,2,4,-2,6,1,4,1,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,
-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1],[6,1,7,1,4,2,7,1]],[[2,2],[
2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,
2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[4,1,6,1],[8,1,7,-1,8,1,6,1,7,1]],[[1,
1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-1,
6,1,4,2,6,-2]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]]],[[[1,1,2,1],[1,
-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,1,4,-2,6,
2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[
4,1,6,1],[4,2,7,2,6,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]]],[[[1,1,
2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1,4,
2,6,1,4,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,
5,-1],[6,1,4,-1,6,1,4,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,
5,-1,2,-1,1,-1,5,-1],[4,2],[7,1,6,-1,7,1,6,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,
2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1,4,2,6,1,4,1]],[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,1,
4,-2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[6,1,4,-3,6,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,
2,-1,1,-1,5,-1],[4,1,6,2,4,-1,6,-2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,
2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,
-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,2,6,1,4,2]],[[1,1,2,1],[1,-2,2,
-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-4,4,-1]]],[[[1,1,
2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,2,4,-1,6,
2,4,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[6,1,4,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,
-1,5,-1],[4,2],[7,1,6,-1,7,1,6,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,
-4]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[6,2,4,-1,6,2,4,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,
-1,2,-1,1,-1,5,-1],[6,1,4,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,
1,1,5,-1,2,-1,1,-1,5,-1],[4,2,6,1,4,2,6,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,
-1],[4,-4]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[3,
1,5,-1,6,1,5,1,6,-2]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[
5,1,3,-1,5,-1,3,1,5,1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,
-1],[5,1,3,1],[6,1,5,-1,3,-2,6,-1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,
-1,4,-2,2,-1],[5,2,3,1,5,1,3,-1,5,1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,
1,2,2,1,1,5,-1,2,-2],[4,1,6,1],[4,2,7,-1,6,-1,7,1,6,1]],[[1,1,2,1],[3,2,2,3,3,
1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,1],[6,1,7,2,4,1]],[[1,1,2,1],[3,2,
2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,1,4,-1,6,-1,4,2,6,1]],[[1,1,
2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,-2,6,1,4,-1,6,
1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,
2],[4,2],[4,1,6,1,7,1,4,1,6,-1,7,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[
1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,2,4,2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,
3,1],[4,-3]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,
1,-2,2,2],[4,2],[7,1,4,1,6,-1,7,1,4,1,6,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,
3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,2,4,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,
1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[4,1,6,1,7,1,4,1,6,-1,7,
1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[7,1,6,
2,7,-1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,2,4,-1,
6,1,4,1,6,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,
6,2,4,-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,
-2,2,2],[4,2],[6,1,4,1,7,1,6,1,7,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[
1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,1],[4,2,7,-2]],[[1,1,2,1],[3,1,1,-1,2,
-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,-2]]],[[[1,1,2,1],[3,
1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,-1],[7,2,4,
2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[4,-3]],[[1,1,2,1],[3,1,1,-1,2,-1,
3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2,6,1,4,2,6,1]],[[1,1,2,1],[
3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,1,6,
-3]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,1,6,-1,4,2,6,1,4,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,
1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,-2,4,-1,6,-1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,
-1,3,-1],[4,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,
1,-1,5,-1],[6,1,4,2,6,1,4,2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,
1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,2,6,1,4,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,
-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-2,4,-1,6,2]],[[1,1,2,1],[1,-2,
2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1],[6,1,7,2,4,
1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]]],[[[1,1,2,1],[1,-2,2,-1,3,2,
2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,-1,6,2,7,1]],[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-2,4,
-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[
6,2,4,-1,6,2,4,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,
-1,1,-1,5,-1],[6,1,4,1,6,2,4,-1,6,-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[
2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[6,-1,7,1,6,-1,7,1]],[[1,1,2,1],[1,
-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,-1,6,2,4,1]],[[2,
2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[
2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,1,6,2,7,-1]]],[[[1,1,2,1],[3,1,1,
-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,1,6,1,4,2,6,1,4,
1,6,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,
2],[4,2],[7,1,4,1,6,2,7,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[
5,1,2,1,5,1,1,-2,2,2],[6,1,4,3,6,1,4,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,
1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,1],[6,1,7,-1,6,1,7,1]]],[[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,2,6,1,
4,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,1,6,2,4,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,
-1,1,-1,5,-1],[6,2,4,-1,6,2,4,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[
2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2,6,1,4,2,6,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,
2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,2,4,-1,6,2,4,1]],[[1,1,2,1],[1,
-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-2,4,-1]],[[
1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,
-1,6,-2,4,1,6,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,
-1,1,-1,5,-1],[6,1,4,2,6,1,4,2]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,
2,1,1,5,-1,2,-2],[6,1,4,1,6,-1,4,-2,6,1,4,1,6,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,
1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,1],[7,1,6,1,7,1,6,1]]],[[[1,1,2,1],[3,1,
1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,1,6,1,7,1,4,
1,6,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,
2],[4,1,6,1,4,-2,6,1,4,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,
1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,1,6,1],[7,1,8,2]],[[1,1,2,1],[3,1,1,-1,2,
-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,1],[7,1,6,2,7,1]]],[[[
1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[7,1,6,-1,4,1,
6,1,7,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,
-1,4,2,6,1,4,-1,6,-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,
-1,2,-1,1,-1,5,-1],[6,1,4,-2,6,1,4,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,
2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,2,4,-1]]],[[[1,1,2,1],[3,2,2,3,3,1],[
1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,-2,6,-2,4,-1,6,-1]],[[1,1,2,1],[3,2,2,3,3,
1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,-2,6,1,4,-1,6,1]]],[[[1,1,2,1],[3,
1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,1,6,-1,7,1,
6,-1,4,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,
-2,2,2],[4,2,6,2]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,
1,5,1,1,-2,2,2],[4,2,6,1,4,2,6,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,
1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,2,6,2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,
1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,1,6,-1,4,1,6,1,7,1]],[[1,1,
2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-1],[
7,1,6,-1,4,-2,7,-1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]],[[1,1,2,1],[
1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-1,6,1,4,2,
6,-2]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,
2],[4,2],[7,1,4,1,6,1,4,1,6,1,7,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,
1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,3,6,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,
1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,1,6,-1,4,-2,6,-2]],[[1,1,2,1],[
3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,2,6,2,4,
1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,
2],[4,2],[4,1,6,1,7,1,4,1,6,-1,7,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[
1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,2,4,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,
3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,1,6,1,4,1,6,1,4,-1,7,-1]],[[1,
1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,3,
6,-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,2],[7,1,4,1,6,2,7,1,4,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,
-2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[
4,2],[7,-1,6,2,7,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,
2,-1,1,-1,5,-1],[4,2],[6,-1,7,1,6,-1,7,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,
-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-1,4,2,6,-2,4,-1]],[[1,1,2,1],[
1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,1,4,-2,
6,2]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]],[[1,1,2,1],[1,-2,2,-1,3,2,
2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[6,-1,7,1,4,1,6,1]]],[[[1,
1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,
1,4,1,6,-1,4,-1,6,-1,7,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[
5,1,2,1,5,1,1,-2,2,2],[6,1,4,3,6,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[
1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,1,4,1,6,2,7,1]],[[1,1,2,1],[3,1,1,-1,
2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,1],[6,1,7,-1,6,1,7,
1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2,6,-1,4,
-1,6,-1,4,-1,6,-2]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,
-2],[4,1,6,-1,4,2,6,1,4,-1,6,-1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,
1,1,5,-1,2,-2],[6,1,4,-1,6,2,4,1,6,-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,
-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,-2,4,-1,6,-1]],[[1,1,2,1],[
1,-2,2,-1,3,2,2,2,1,-1],[4,-3]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,
1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,2,6,1,4,-1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,
1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,-1,6,1,4,2,6,2]],[[1,1,2,1],[3,2,2,3,3,
1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,1],[6,1,7,1,6,1,7,1]],[[1,1,2,1],[
3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2,6,-1,4,-2,6,-1]]],[[[1,1,
2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[6,2,
7,1,6,-1,4,-1,6,-1,7,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,
1,2,1,5,1,1,-2,2,2],[4,1,6,1,4,2,6,1,4,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,
3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,-1,6,1]]],[[[1,1,2,1],[3,1,1,-1,
2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,1,4,-2,6,1,4,1]],[[
1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[4,-3]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,
1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,3,6,-1]]],[[[1,1,2,1],[3,2,2,3,
3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,1,6,1,4,-2,6,2,4,-1]],[[1,1,2,
1],[3,1,2,2,1,1,3,-1,2,-2],[4,2]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,
1,1,5,-1,2,-2],[6,2,4,1,6,1,4,1,6,1,4,-2]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,
1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,1],[7,2,6,1,4,2]],[[1,1,2,1],[3,2,2,3,3,1],[
1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[7,1,6,2,7,-1]],[[1,1,2,1],[3,2,2,3,3,
1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,2,4,1,6,-1,4,2]]],[[[1,1,2,1],[3,2,2,
3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[7,2,6,1,7,-1,6,-1,4,-1,6,
-1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,2,4,
-1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,-1,6,
-1,4,1,6,-1,4,2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,
-1,1,-1,5,-1],[4,1,6,-1,4,2,6,-2,4,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[
2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,-1,6,1,4,1,6,1]],[[2,2],[2,1,1,1,
3,-1,2,-1,1,-1,3,-1],[4,-4]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,
1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-1,4,2,6,-2,4,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,
2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,2,4,2,6,1,4,-1,6,1]],[[2,2],[
2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,
2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1,4,2,6,1,4,-1,6,-1]],[[1,1,2,1],[1,
-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,-1,4,2]],[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,1,6,
-2,7,-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,
5,-1],[4,2],[6,-1,7,1,6,-1,7,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,
1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,1,6,1,7,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,
2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,2,4,1]]],[[[1,1,2,1],[
3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,2,4,2,6,1,4,-1,
6,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,
2],[4,-1,6,2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,
1,-2,2,2],[4,1,6,-1,4,2,6,-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,
2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[6,2],[8,1,7,1,8,1,7,1]],[[1,1,2,1],[3,1,1,
-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,-1,6,2]],[[1,1,2,1],[
3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,1,6,2,4,
-1,7,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,
2,2],[4,2],[4,1,6,1,7,-1,6,1,7,-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,
2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-1,6,2,4,1,6,-1]],[[2,2],[2,1,1,1,3,
-1,2,-1,1,-1,3,-1],[4,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,
5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,-2,4,-1,6,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,
1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,-1,6,2,4,1]]],[[[1,1,2,1],[1,-2,
2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,2,4,-1,6,-2]],[[
1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,-1,6,
2,4,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[6,1,4,2,6,1,4,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,
-1,2,-1,1,-1,5,-1],[4,2],[7,1,6,-2,7,-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,
3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,1,6,1,7,-1,6,1,4,-1,7,-1]],[[1,
1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,3,
6,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,
2],[4,2],[7,1,4,1,6,2,7,-2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,
1],[5,1,2,1,5,1,1,-2,2,2],[6,2,4,-2,6,1,4,1,6,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,
3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,2,4,-2,6,1,4,-1,6,-1]],[[1,1,
2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,-1,6,
1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[
4,2],[7,1,6,-1,4,1,6,-1,7,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,
1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,1,6,-1,7,-1,6,-1,4,-1]],[[1,1,2,1],[3,1,1,
-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,2,4,-2,6,1,4,-1,6,
-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[
6,1,4,-1,6,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,
1,-1,5,-1],[4,2],[7,1,6,1,4,1,7,1,6,-1,7,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,
-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,2,6,1,4,2]],[[2,2],[2,1,1,1,3,
-1,2,-1,1,-1,3,-1],[4,-4]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,
5,-1,2,-1,1,-1,5,-1],[6,2,4,1,6,-1,4,-3]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,
-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,-1,4,-3,6,1]],[[2,2],[2,1,
1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,
1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[4,1,6,1,7,-1,6,1]],[[1,1,2,1],[1,-2,2,-1,3,
2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2,6,1,4,2,6,1]]],[[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,1,6,
1,7,-1,6,-1,7,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,
-1,1,-1,5,-1],[4,2,6,1,4,-1,6,1,4,-1,6,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,
-1],[4,-3]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,
5,-1],[4,1,6,-4,4,-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,
-1,2,-1,1,-1,5,-1],[4,2],[7,1,4,1,6,2,7,1,6,1,4,1]],[[1,1,2,1],[1,-2,2,-1,3,2,
2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,1,6,-1,7,-1,6,1,7,
1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]],[[1,1,2,1],[1,-2,2,-1,3,2,2,
2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,1,6,1,4,1,7,1,6,-1,7,
-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[6,1,4,-1,6,1,4,2,6,-2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,
1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1],[7,2,6,1,4,2]],[[2,2],[2,1,1,1,3,-1,2,-1,1,
-1,3,-1],[4,-4]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,
1,-1,5,-1],[4,2],[7,1,6,-1,7,1,6,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,
2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,1],[4,2,7,2]],[[1,1,2,1],[1,-2,2,
-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,1,4,-2]],[[2,
2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[
2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,2,4,1,6,-1,4,-3]]],[[[1,1,2,1],[1,-2,2,
-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,1,4,1,6,-1,7,-1,
6,-1,7,-1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]],[[1,1,2,1],[1,-2,2,
-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,1,4,1,6,1,4,
-2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[
6,1,4,1,6,1],[7,1,4,2,7,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,
1],[5,1,2,1,5,1,1,-2,2,2],[6,2,4,3,6,-2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,
1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,3,4,1,6,1,4,-2]],[[1,1,2,1],[3,1,1,-1,
2,-1,3,1,2,1,3,1],[4,-3]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,
1,2,1,5,1,1,-2,2,2],[6,1,4,3,6,-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,
2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[4,1,6,1,7,1,6,-1,7,-1]],[[1,1,2,1],[1,
-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,-1,4,-3,
6,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]],[[1,1,2,1],[1,-2,2,-1,3,2,
2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,1],[4,2,7,2]]],[[[1,
1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,
1,4,1,6,1,7,-1,6,-1,7,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,
5,-1,2,-1,1,-1,5,-1],[6,1,4,-3,6,1,4,1,6,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,
-1],[4,-4]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,
5,-1],[4,1,6,1],[4,2,7,-1,6,-1,7,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,
2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-1,6,1,4,2,6,-2]],[[1,1,2,1],[1,-2,2,
-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,-1,4,-2]],[[2,
2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[
2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1,4,2,6,1,4,1]]],[[[1,1,2,1],[1,-2,
2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,-1,6,-1,4,1,6,
1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[
4,1,6,1,4,-1,6,-2]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]],[[1,1,2,1],[
1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-3,6,
-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[6,1,4,1,6,2,4,-1,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,
1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-3,6,-1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[
4,-4]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,2],[7,-1,6,1,4,1,6,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,
1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,1,6,-1,7,-1,4,1,6,1]],[[1,1,2,1],[1,-2,2,
-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-1,6,-1,4,2]],[[2,
2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[
2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-1,6,2,4,1,6,1]]],[[[1,1,2,1],[1,-2,
2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-1,6,1,4,2,6,
-2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[
4,1,6,1,4,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]]],[[[1,1,2,1],[1,-2,
2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-1],[4,2,7,-1,6,
1,7,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,2],[6,2,7,-1,6,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]]],[[[1,
1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,-1,
6,-1,4,2,6,-1,4,-1,6,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,
1,2,1,5,1,1,-2,2,2],[6,3,4,-1,6,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[
4,-3]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,
2],[4,2],[6,2],[7,1,8,1,7,1,8,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,
2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2,6,1,4,1,6,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,
2,1,3,1],[4,-3]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,
-1,1,-1,5,-1],[4,2],[7,-1,6,-1,4,1,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[
2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2,6,1,4,-1,6,1]],[[1,1,2,1],[1,-2,2,-1,
3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,1,6,2,7,-1]]],[[[1,
1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,
6,-1,4,-2,6,-1,4,-1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-2]],[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,-1,6,
2,7,1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[6,1,5,
-1,6,1,5,2,6,-1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,1,
5,-1,3,2,5,2,3,1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,1,
5,1,3,1,5,1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[
5,1,3,-1,6,-1,5,2,6,-1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,
-1],[5,1,3,-1,5,-1,3,1,5,1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,
2,-1],[5,2,3,1,5,1,3,-1,5,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,
1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1],[7,1,6,1,4,2,7,1]],[[1,1,2,1],[1,-2,2,-1,
3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,1,6,-1,7,1,6,1]],[[
2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,
1],[5,1,2,2,1,1,5,-1,2,-2],[4,2,6,1,4,-1,6,2,4,1]],[[1,1,2,1],[3,2,2,3,3,1],[
1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,2,4,2,6,1,4,-1]],[[1,1,2,1],[3,2,2,3,3,
1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,-2,6,1,4,-1,6,1]]],[[[1,1,2,1],[1,
-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-1],[7,1,4,1,
6,1,7,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[6,1,4,1,6,2,4,-1,6,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]]],[[[
1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[4,1,6,1],[7,1,
8,-1,6,1,8,1,7,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,
-2],[6,1,4,1,6,-1,4,2,6,1]],[[1,1,2,1],[3,1,2,2,1,1,3,-1,2,-2],[4,-4]]],[[[1,
1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1,
4,-2,6,1,4,1,6,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,
-1,1,-1,5,-1],[4,2,6,1,4,2,6,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,
-4]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,1],[
6,1,4,-1,7,-1,6,1,7,2]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,
2,-2],[6,1,4,-2,6,1,4,-1,6,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,
1,5,-1,2,-2],[4,1,6,-1,4,2,6,-1,4,1,6,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,
3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[6,1,4,1,6,1],[8,1,7,1,8,1,7,
1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[
6,2,4,-2,6,1,4,1,6,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,
2,1,5,1,1,-2,2,2],[4,2],[7,1,4,1,6,1,7,-1,4,-1,6,-1]]],[[[1,1,2,1],[1,-2,2,-1,
3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-3,6,-1]],[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,-1,
4,-2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,1,6,-1,4,1,6,2]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,
1,2,1,5,1,1,-2,2,2],[4,2],[7,1,6,-1],[8,2,7,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,
2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,2,4,-1]],[[1,1,2,1],[3,1,1,-1,2,
-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,3,6,-1]]],[[[1,1,2,
1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[7,1,6,-1,7,1,6,2,4,
-1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,-1,6,
-1,4,-2,6,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,
6,-1,4,-2,6,1,4,-1,6,1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,
-1,2,-2],[4,2],[4,1,6,1],[7,1,8,-1,6,1,8,1,7,-1]],[[1,1,2,1],[3,2,2,3,3,1],[1,
1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,1,6,-1,4,-1]],[[1,1,2,1],[3,2,2,3,3,1],[
1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,-1],[7,1,6,1,7,1,6,1]]],[[[1,1,2,1],[
3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[4,1,6,1],[7,1,8,-1,6,1,
8,1,7,-1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,
1,6,-1,4,-1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,2,
4,1,6,-1,4,2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,
1,-1,5,-1],[6,1,4,1,6,2,4,-1,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[
2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,3,4,-2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[
2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,2,4,-1,6,-2]]],[[[1,1,2,1],[1,-2,2,
-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1,4,2,6,1,4,1]],[[
1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,
-3,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,-1,6,2,4,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,
2,-1,1,-1,5,-1],[4,1,6,1,4,2,6,1,4,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,
2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-1,6,1,4,2]],[[1,1,2,1],[1,-2,2,-1,3,
2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,-1,6,2,4,1]]],[[[1,1,2,1],[
3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[7,1,6,-1,7,1,6,2,4,
-1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,-1,6,1,4,
1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,-1,4,-2,
6,1,4,-1,6,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,
1,1,-2,2,2],[4,2],[6,1,4,1,6,1],[7,1,8,1,7,1,8,1]],[[1,1,2,1],[3,1,1,-1,2,-1,
3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,1,6,1,7,1,4,1,6,1]],[[
1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[4,-3]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,
1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-3,6,-1]],[[1,1,2,1],[1,-2,2,
-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,-1,4,-2]],[[1,
1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,
-1],[7,2,6,-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,
1,1,-2,2,2],[4,1,6,1,4,-2,6,1,4,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,
1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,2,4,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,
1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,-3,6,-1]]],[[[1,1,2,1],[3,1,1,-1,2,
-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[6,2,7,1,6,-1,4,-1,6,
-1,7,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,
2,2],[6,1,4,1],[7,1,6,-1,7,-1,6,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[
1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,-1,6,1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,
1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2,5,-1,3,-1,5,-1,3,-1,5,-2]],[[2,1,1,1,2,3,1,
1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,3,5,1]],[[2,1,1,1,2,3,1,1],[1,1,2,
1],[4,1,2,1,1,-1,4,-2,2,-1],[5,1,3,-4,5,-1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[
4,1,2,1,1,-1,4,-2,2,-1],[3,2],[3,1,5,-1,6,1,5,1,6,-2]],[[2,1,1,1,2,3,1,1],[1,
1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,1,5,1,3,2,5,1,3,1]],[[2,1,1,1,2,3,1,1],[1,
1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[5,2,3,1,5,1,3,-1,5,1]]],[[[2,1,1,1,2,3,1,1],[
1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[6,1,5,1,6,-2,5,-1,6,-1]],[[2,1,1,1,2,
3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,-1,5,1,3,3]],[[2,1,1,1,2,3,1,1],[
1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[6,1,5,-1,6,1,5,1,3,1,6,1]]],[[[2,1,1,
1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[6,1,5,-1,6,-2,5,1,3,1,5,
1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,-1,5,1,3,3]],[[2,
1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[6,1,5,1,6,-2,5,-1,6,
-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[6,1,4,-1,6,2,4,1,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,
1,5,-1,2,-1,1,-1,5,-1],[6,1,4,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[
2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,2,4,-1,6,2,4,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,
2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-1,6,2,4,1,6,1]],[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,-1,6,
3]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[
6,2,4,-1,6,2,4,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,
1,5,1,1,-2,2,2],[4,2],[7,1,4,1,6,-1,4,-1,6,-1,7,-1]],[[1,1,2,1],[3,1,1,-1,2,
-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,2,6,-1,4,-1,6,-1]],[[
1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,
3,6,1,4,-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,
1,-2,2,2],[4,2],[7,1,4,1,6,-1,4,-1,6,-1,7,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,
2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,2,6,-1,4,-1,6,-1]],[[1,1,2,
1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,-1],[7,
1,4,2,7,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,
-1,5,-1],[4,2],[7,-1,6,1,4,1,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[
2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1,4,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,
1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,1,6,-1,4,-2]],[[1,1,2,1],[3,1,
1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,-2]]],[[[1,1,2,
1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,2,6,
-1,4,1,6,-1,7,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,
1,1,-2,2,2],[6,1,4,-1,6,-2,4,-1,6,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,
1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2,6,1,4,2,6,1]]],[[[1,1,2,1],[3,1,1,-1,
2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,1],[7,1,6,1,4,2,7,
-1,6,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,
2,2],[4,1,6,-1,4,-2,6,-1,4,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,
1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,1,4,1,6,1,7,-1,4,-1,6,-1]]],[[[1,1,2,1],[3,
1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[6,1,4,1,6,
1],[7,1,8,1,7,1,8,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,
1,5,1,1,-2,2,2],[4,2],[7,1,4,1,6,-1,7,-1,6,1,7,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,
3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,2,6,1,4,2]]],[[[1,1,2,
1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,1,6,-1,4,1,6,1,4,
2]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2,6,1,4,-1,
6,2,4,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,
-1,4,2,6,1,4,-1,6,-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,
-1,2,-1,1,-1,5,-1],[4,1,6,1],[4,1,6,-1,7,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,
-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,-1,6,2,4,1]]],[[[1,1,2,1],[1,-2,2,
-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1,4,2,6,1,4,1]],[[
1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[
7,-1,6,1,4,1,6,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]],[[1,1,2,1],[1,
-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-1],[7,2,6,
-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,1,6,1,4,2,6,1,4,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,
5,-1,2,-1,1,-1,5,-1],[4,2],[6,-1,7,1,4,1,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,
1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-1],[7,2,6,-1]],[[2,2],[2,1,
1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[
2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-1,6,1,4,2,6,-2]],[[1,1,2,1],[1,-2,2,-1,3,
2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-1],[7,2,6,-1]],[[2,
2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[
2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1,4,2,6,1,4,1]]],[[[1,1,2,1],[1,-2,
2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,2,4,-1,6,2,4,1]],[[
1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,
-3,6,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]],[[1,1,2,1],[1,-2,2,-1,3,
2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,-1,6,-1,4,1,6,
1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[6,1,4,1,6,1,4,-2,6,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,
1,5,-1,2,-1,1,-1,5,-1],[6,1,4,2,6,1,4,2]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,
-1],[4,-4]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,
5,-1],[6,2,4,-1,6,2,4,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,
1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,1,6,-1,7,-1,6,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,
2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-1,6,2,4,1,6,1]],[[2,2],[2,
1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[
2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,2,6,1,4,2]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,
1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[4,1,6,-1,7,-1,4,1,6,1,7,1]],[[1,1,2,1],[
3,1,2,2,1,1,3,-1,2,-2],[4,-4]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,
1,5,-1,2,-2],[4,1,6,-1,4,-2,6,1,4,-1,6,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,
1],[5,1,2,2,1,1,5,-1,2,-2],[6,2,4,1,6,-1,4,2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,
2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,1,6,-1,7,-1,6,2]],[[1,1,
2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,2,4,
-1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]],[[1,1,2,1],[1,-2,2,-1,3,2,2,
2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,2,6,1,4,2]]],[[[1,1,2,1],[
1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-1,6,1,4,1,
6,1,4,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[6,1,4,1],[7,2,6,-1,4,-1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,
-4]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,1,6,1,4,-1,6,1,4,-1,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,
1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-2,4,-1,6,2]],[[2,2],[2,1,1,1,3,-1,2,-1,1,
-1,3,-1],[4,-4]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,
5,1,1,-2,2,2],[4,2],[6,2],[7,1,8,1,7,1,8,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,
1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,1,6,1,7,-1,6,1]],[[1,1,2,1],[
3,1,1,-1,2,-1,3,1,2,1,3,1],[4,-3]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,
2,2,1,1,5,-1,2,-2],[4,2],[7,1,4,1,6,2,7,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,
1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,1,4,2,6,1,4,1,6,-1]],[[1,1,2,1],[3,2,2,3,3,
1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,-1,4,2,6,2]]],[[[1,1,2,1],[1,-2,2,
-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-1],[7,1,4,1,6,1,
7,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[6,2,4,-1,6,2,4,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]]],[[[1,1,
2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2,6,-2,4,-1,6,1,4,-1,
6,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[6,1,7,
1,4,1,6,2,7,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,
1,6,1],[7,1,6,1,7,1,6,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[
5,1,2,1,5,1,1,-2,2,2],[4,1,6,-1,4,-2,6,-1,4,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,
1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2,6,1,4,2,6,1]],[[1,1,2,1],[3,
1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,3,6,-1]]],[[[
1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[7,1,4,1,6,2,7,
1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[7,1,6,2,
7,-1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,-1,4,
2,6,-2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,
5,-1],[4,1,6,1,4,2,6,1,4,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,
1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,1,4,-2]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,
-1],[4,2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,
-1,5,-1],[4,2],[7,1,6,-1,4,1,6,1,7,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[
4,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[6,1,4,1,6,1],[4,2,7,2]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,
1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,1,6,1,4,1,6,1,7,1,6,1,7,1]],[[1,1,2,1],[3,
1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,2,6,2]],[[1,
1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,3,4,-1,
6,-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,2],[7,-1,6,1,4,1,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,
1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-1],[7,2,6,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,
1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,2,4,-1,6,-2]]],[[[1,1,2,1],[
3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,1,6,1,4,2,
6,2,4,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,
2,2],[4,2],[6,-1,7,1,4,1,6,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,
1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[4,1,6,1],[8,1,7,-1,8,1,7,1]]],[[[1,1,2,1],[1,
-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[4,1,6,1,7,-1,
6,1,4,1,7,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,2]],[[1,1,2,1],[1,-2,2,
-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1,4,2,6,1,4,1]],[[
1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,
2,6,1,4,2]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,
-2,2,2],[4,2],[7,1,4,1,6,1,4,1,6,1,7,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,
1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,-2,6,1,4,-1]],[[1,1,2,1],[3,1,1,-1,
2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,2,4,2,6,1,4,-1,6,-1]],[[
1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,
1,6,3,4,-2]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,
2],[7,1,6,-1,7,1,6,2,4,-1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,
-1,2,-2],[4,2],[7,1,4,1,6,2,7,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,
1,1,5,-1,2,-2],[4,1,6,-1,4,2,6,2]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,
2,1,1,5,-1,2,-2],[6,1,4,-1,6,1,4,1,6,-1,4,-2]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,
1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,1],[6,1,7,-1,4,2,7,1]],[[1,1,2,1],[3,2,
2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2,6,1,4,1,6,2]],[[1,1,2,1],[3,1,
2,2,1,1,3,-1,2,-2],[4,-4]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,
1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,-1,6,-1,4,2,6,1,4,-1]],[[1,1,2,1],[3,1,1,-1,
2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,2,6,-1,4,-1,6,
-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,
2],[4,1,6,-1,4,2,6,-1,4,-1,6,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,
2,1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,1,4,-2,6,1,4,1]]],[[[1,1,2,1],[3,1,1,-1,2,
-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,1,6,1,7,-1,6,1,4,-1,
7,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,
2],[6,2,4,-2,6,1,4,1,6,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[
5,1,2,1,5,1,1,-2,2,2],[6,1,4,3,6,1,4,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,
1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[4,1,6,1,7,1,4,1,6,-1,7,1]]],[[[1,1,
2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[6,-1,
7,1,6,-1,7,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,
-1,5,-1],[4,1,6,2,4,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,
-1,2,-1,1,-1,5,-1],[4,2],[7,1,6,-2,7,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,
-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,2,4,-1,6,2,4,1]]],[[[1,1,2,1],[1,
-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,1,4,1,6,-1,
7,1,4,1,6,2]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]],[[1,1,2,1],[1,-2,2,
-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[6,-1,7,1,4,1,6,
1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[
6,1,4,-1,6,1,4,-2,6,-1,4,-1,6,-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[
1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,1,4,1,6,2,7,1]],[[1,1,2,1],[3,1,1,-1,
2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,2,4,-2,6,1,4,1,6,1]],[[
1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[
6,-1,7,1,4,1,6,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,
5,1,1,-2,2,2],[6,1,4,3,6,1,4,-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,
2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,-3,6,-3,4,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,
2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,1,4,-2,6,2]],[[2,2],[
2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,
2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1,4,2,6,1,4,1]]],[[[1,1,2,1],[3,1,1,
-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[4,1,6,1,7,1,4,1,
6,-1,7,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,
2,2],[4,2],[6,-1,7,1,6,2]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,
1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[6,1,7,2,6,-1,7,1]],[[1,1,2,1],[3,1,1,-1,2,-1,
3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2,6,1,4,2,6,1]]],[[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,2,4,-1,6,2,
4,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,1,6,1,4,-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,
1,5,1,1,-2,2,2],[4,2],[6,-1,7,1,6,2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[
1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,1],[7,1,6,2,7,1]]],[[[1,1,2,1],[3,1,1,
-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,1,6,1,7,1,4,1,
6,2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,
2],[4,1,6,1],[6,1,7,-1,6,1,7,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[
2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-1,6,-1,4,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,
2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1,4,-1,6,-2]],[[2,2],[2,1,
1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,
1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,-1,6,-1,4,2,6,-1]],[[1,1,2,1],[3,1,1,-1,
2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,-2]]],[[[1,1,2,1],[
3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,-1,6,-1,4,
2,6,1,4,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,
-2,2,2],[4,1,6,1,4,-2,6,1,4,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,
2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,3,6,1,4,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,
2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,2,4,2]],[[1,1,2,1],[3,1,1,-1,2,
-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,1],[4,2,7,-2]]],[[[1,
1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,1,
6,1,4,2,6,2,4,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,
1,1,-2,2,2],[4,2],[6,-1,7,1,4,1,6,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[
1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,3,6,1,4,-1]]],[[[1,1,2,1],[3,1,1,-1,2,
-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[6,1,7,1,6,1,4,-1,7,
-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[
6,2,4,-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,
-2,2,2],[4,1,6,1],[4,2,6,1,7,2,6,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[
1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2,6,-1,4,1,6,-1]]],[[[1,1,2,1],[1,-2,2,-1,
3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,-1,6,1,4,1]],[[2,2],[2,1,
1,1,3,-1,2,-1,1,-1,3,-1],[4,2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[
2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,1],[7,2,4,2]],[[1,1,2,1],[1,-2,2,-1,3,
2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-1,4,2,6,-2,4,-1]],[[1,
1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-3,
6,-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,
2],[4,2],[7,1,6,-1,4,-1,7,-1,6,1,7,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,
1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,2,4,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,
2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,1,4,-2,6,1,4,1]]],[[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-3,6,1,
4,-1,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,
5,-1],[6,1,4,-1,6,-2,4,1,6,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[4,
-3]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[6,1,4,-1,6,1,4,2,6,-2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,
1,5,-1,2,-1,1,-1,5,-1],[4,1,6,2,4,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,
2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1,4,-1,6,-2]]],[[[1,1,2,1],[3,2,2,3,3,
1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[4,1,6,1],[8,1,6,1,7,1,6,1,8,1,7,
1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,1],[6,1,
7,1,6,1,7,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,
6,-1,4,-2,6,1,4,-1,6,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,
5,-1,2,-1,1,-1,5,-1],[4,2],[6,-1,7,1,6,-1,7,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,
1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,2,4,2,6,1]],[[1,1,2,1],[1,-2,2,
-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-1],[7,1,6,-1,7,
1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,
2],[6,1,4,1,6,1,4,2,6,1,4,1,6,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,
1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,1,6,-1],[8,2,7,1]],[[1,1,2,1],[3,1,1,
-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,3,6,-1]]],[[[1,1,
2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-1,6,
1,4,2,6,-2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,
-1,5,-1],[4,1,6,-1],[7,2,6,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,
1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2,6,1,4,-1,6,-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,
2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,2,4,-1,6,2,4,1]],[[1,1,2,1],[1,
-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2,6,1,4,-1,6,
1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[
4,1,6,1,4,-1,6,-2]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,
-2],[4,1,6,-1,4,2,6,1,4,-1,6,-1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,
1,1,5,-1,2,-2],[4,2],[6,1,4,1,7,1,6,1,7,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,
1],[5,1,2,2,1,1,5,-1,2,-2],[4,2,6,1,4,1,6,2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,
1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,-1,6,1,4,1,6,1]],[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-1],[7,
2,6,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,2,6,1,4,-1,6,-1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,
-1,2,-2],[6,1,4,1,6,1,4,-2,6,2]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,
1,1,5,-1,2,-2],[6,1,4,1],[6,1,7,-1,4,2,7,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,
2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,1,6,-1,7,-1,6,-1,4,-1]],[[
1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,
-1,4,-1,6,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,
1,-1,5,-1],[4,2],[7,1,6,1,7,-1,6,-1,7,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,
-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-2]],[[1,1,2,1],[1,-2,2,-1,3,2,
2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,1],[4,2,7,2]]],[[[1,
1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,-1,4,2,6,1,4,-1,
6,-1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,-1,6,
1,4,1,6,-1,4,-2]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[
4,1,6,1],[6,1,7,1,6,1,7,1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,
5,-1,2,-2],[4,2],[6,1,4,-1,6,-1,7,1,6,1,7,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,
1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,1],[6,1,7,2]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,
2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,-1,4,-2,6,1,4,-1,6,1]]],[[[1,1,2,1],[1,-2,
2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2,6,-1,4,-1,6,1,4,
-1,6,-1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,2]]],[[[1,1,2,1],[3,2,2,3,3,
1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,1,4,-2,6,1,4,1]],[[1,1,2,1],[3,2,
2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2,6,-1,4,1,6,1]]],[[[1,1,2,1],[
1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[6,-1,7,1,6,
-1,7,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[6,1,4,1,6,-1,4,1,6,-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,
1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,1,6,-1,4,-1,6,-1,7,-2]],[[1,1,2,1],[3,1,1,
-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[6,1,4,1,7,1,6,1,
7,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,
2],[6,2,4,-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,
1,-1,5,-1],[6,1,4,1,6,1,4,-2,6,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[
2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-1,4,-1,6,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,
2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2,6,1,4,-1,6,1]]],[[[1,1,2,1],[
1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,2,4,2,6,1,4,-1,
6,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,1,6,-1,4,-1,6,-2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,
5,-1,2,-1,1,-1,5,-1],[4,2],[7,-1,6,-1,4,1,6,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,
1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,1,6,-1,4,-1,7,-1,6,1,7,
-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[
4,1,6,1,4,-2,6,1,4,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,
2,1,5,1,1,-2,2,2],[6,1,4,3,6,1,4,-1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,
1,2,2,1,1,5,-1,2,-2],[4,1,6,-2,4,1,6,1,4,2]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,
1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,-1,4,2,6,1,4,-1,6,1]]],[[[1,1,2,1],[3,2,2,3,
3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[7,1,6,1,7,1,6,1,4,-1,6,1]],[[1,
1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,2,4,-1]]],[[[1,
1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,2,4,1,5,-1],[6,2,5,2,4,1,5,-2,6,
1]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,2,4,1,5,-1],[6,1,5,2,4,1,
5,-2,6,2]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2,
6,1,4,1,6,1,4,-1,6,-2]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,
2,-2],[6,1,4,-1,6,3,4,1]]],[[[2,1,1,1],[2,1,3,-1,1,1,2,2,3,1],[4,3],[1,1,2,
1],[2,1,1,1,6,1,2,1,6,1],[5,1,7,1],[5,1,7,-2],[9,1,8,1,9,1,8,1]],[[2,1,1,1],[
2,1,3,-1,1,1,2,2,3,1],[4,3],[1,1,2,1],[2,1,1,1,6,1,2,1,6,1],[5,1,7,1],[8,1,5,
1,7,-1,8,2,7,1]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,2,4,1,5,
-1],[5,2,4,1,5,-2,6,1],[6,2],[8,1,7,1,8,1,7,1]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,
2],[2,1,1,1],[5,2,4,1,5,-2],[4,1,5,2,4,1,5,-1],[6,1,7,-1,6,-1,7,-1,6,-1]]],[[[
1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[
4,1,6,1],[8,1,7,-1,8,1,7,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,
1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,-1,4,-3]]],[[[2,1,1,1],[2,1,3,-1,1,1,2,2,
3,1],[4,3],[1,1,2,1],[2,1,1,1,6,1,2,1,6,1],[7,1,5,1],[7,1,5,1,7,1],[9,1,8,-2,
9,-1]],[[2,1,1,1],[2,1,3,-1,1,1,2,2,3,1],[4,3],[1,1,2,1],[2,1,1,1,6,1,2,1,6,
1],[5,1,7,1,5,1,7,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,
-1,2,-1,1,-1,5,-1],[4,1,6,1,4,1,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[4,
2]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[6,1,5,1],[6,1,7,1,
4,-2,7,1],[5,1,4,1],[9,1,5,-1,9,-1,5,-2,4,-1],[8,1,10,-1,8,-1]],[[1,1,2,1],[1,
-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[6,1,5,1],[6,1,7,1,4,-2,7,1],[5,1,4,1],[
9,1,5,-1,9,-1,5,-2,4,-1],[10,2,8,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,
2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,1,4,1,6,-1,7,-1,6,-1]],[[1,1,2,1],[
1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,3,4,-1]]],[[[1,
1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[6,2,7,-1,6,-1,4,
-1,6,-1,7,-1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,
1,4,-1,6,1,4,2,6,1,4,1,6,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,
5,-1,2,-2],[6,1,4,1,6,1,4,-2,6,2,4,-1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[
5,1,2,2,1,1,5,-1,2,-2],[4,1,6,1],[4,2,7,-1,6,-1,7,1,6,1]],[[1,1,2,1],[3,2,2,3,
3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,2,6,-2,4,-1]],[[1,1,2,1],[3,1,2,
2,1,1,3,-1,2,-2],[4,-4]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,
1],[5,1,6,2,5,1],[5,1,4,1,5,1],[7,1,8,-1,7,2,8,1]],[[1,1,2,1],[1,-2,3,-1,2,-1,
3,2],[2,1,1,1],[5,1,4,1,5,1],[6,-4]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,
1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[8,1,7,1,8,-1,7,1,8,1]]],[[[2,1,1,1,
2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[5,2],[7,1,6,-2,7,-1]],[[2,
1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[5,3,3,-3]],[[2,1,1,1,2,3,1,
1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[5,1,3,1,6,1,5,-1,6,-1]]],[[[2,1,
1,1],[2,1,3,-1,1,1,2,2,3,1],[4,3],[1,1,2,1],[2,1,1,1,6,1,2,1,6,1],[5,1,7,1],[
7,1,5,1],[9,1,8,-2,7,1,8,1,9,1]],[[2,1,1,1],[2,1,3,-1,1,1,2,2,3,1],[4,3],[1,1,
2,1],[2,1,1,1,6,1,2,1,6,1],[5,1,7,1],[8,1,7,2,5,1,7,-2,8,-1]]],[[[1,1,2,1],[1,
-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[4,1,6,2,7,1,
6,1,4,1,7,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,
-1,5,-1],[6,3,4,-1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,
-2],[6,1,4,-1,6,1,4,2,6,-1,4,-1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,
1,1,5,-1,2,-2],[4,1,6,1],[4,2,7,1,6,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,
-1,3,-1,4,1,2,-1],[1,1,2,1],[1,-2,2,-2,6,2,2,2,1,1],[5,1,7,1],[5,1,7,-1,8,
-2]],[[1,1,2,1],[1,-2,2,-2,3,2,2,2,1,1],[4,5]],[[1,1,2,1],[2,1,1,1],[2,1,3,1,
4,-1,3,-1,4,1,2,-1],[5,-2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,
1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,1,6,-1,7,-1,6,-1,4,-1,6,-1,7,-1]],[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,
1]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,
4,1,5,1],[7,1,8,-1,7,2,8,1,7,1,8,1]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,
1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[8,1,7,-1,8,-1]],[[1,1,2,1],[1,-2,3,
-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[7,-1,8,2]],[[1,
1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[
7,2],[9,-1,8,1,7,1,8,-1,9,-1]]],[[[2,1,1,1],[2,1,3,-1,1,1,2,2,3,1],[4,3],[1,1,
2,1],[2,1,1,1,6,1,2,1,6,1],[5,1,7,1],[5,1,7,-3,8,-2]],[[2,1,1,1],[2,1,3,-1,1,
1,2,2,3,1],[4,3],[1,1,2,1],[2,1,1,1,6,1,2,1,6,1],[5,1,7,-2,5,1,7,2,5,1]]],[[[
2,1,1,1],[2,1,3,-1,1,1,2,2,3,1],[4,3],[1,1,2,1],[2,1,1,1,6,1,2,1,6,1],[5,1,7,
1],[8,1,7,1,8,1,7,1,5,1,7,-1,8,1]],[[2,1,1,1],[2,1,3,-1,1,1,2,2,3,1],[4,3],[1,
1,2,1],[2,1,1,1,6,1,2,1,6,1],[5,1,7,-1,5,1,7,1,5,1]]],[[[1,1,2,1],[1,-2,3,-1,
2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[8,1,7,-1,8,1,7,
1]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,
1,5,1],[8,1,7,2,8,-1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,
-1],[3,2],[5,1,3,1,6,1,5,-1,6,-1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,
4,-2,2,-1],[5,1,3,-3,5,2,3,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,
1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2,6,-1,4,1,6,-2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,
1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,1,4,2,6,1]]],[[[1,1,2,
1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,-1,6,1,4,2,6,1,4,1,
6,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,-2,6,
1,4,-1,6,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,
-1,5,-1],[6,1,4,1,6,3,4,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,
1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-1,6,3,4,-1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,
1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,-2,6,1,4,-1,6,1]],[[1,1,2,1],[3,2,2,3,3,1],[
1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,-1,4,1,6,-1]]],[[[2,1,1,1,2,3,1,1],[1,
1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2,5,2,3,1,5,-2]],[[1,1,2,1],[3,1,2,1,1,-1,
3,-2,2,-1],[4,1,2,1,1,1,2,3,1,1],[4,1,5,-2,4,-1]],[[2,1,1,1,2,3,1,1],[1,1,2,
1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2,5,-1,3,-1,5,1,3,-1]]],[[[2,1,1,1,2,3,1,1],[1,
1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[5,2,3,1,6,1,5,-1,6,1]],[[2,1,1,1,2,3,1,
1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,1,5,1],[6,1,5,2,6,1,3,2]],[[1,1,2,
1],[3,1,2,1,1,-1,3,-2,2,-1],[4,1,2,1,1,1,2,3,1,1],[4,1,5,-2,4,-1]]],[[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-1,4,
-1,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,1,6,1,4,-1,6,-1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,
-1,2,-2],[4,2],[7,1,6,1],[7,1,8,2,7,-1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[
5,1,2,2,1,1,5,-1,2,-2],[4,1,6,-1,4,-2,6,-1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,
1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,1],[6,1,7,-2,6,-1]]],[[[1,1,2,1],[1,-2,2,-1,
3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[6,-2,7,1]],[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,2,6,
-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[
4,1,6,-2,4,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,
1,-1,5,-1],[4,2],[6,-1,7,1,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,
1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,2,4,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,
-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,2,4,-2]]],[[[1,1,2,1],[1,-2,2,-1,3,
2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,3,4,1,6,-1]],[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-1,4,
-2,6,-1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[
7,2,6,-1,4,1,6,2,7,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,
-2],[4,1,6,-1,4,-1,6,1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,
-1,2,-2],[4,2],[7,2,6,-1,4,1,6,-1,7,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,
1,2,2,1,1,5,-1,2,-2],[4,2,6,-1,4,-1,6,1,4,-1]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,
2],[2,1,1,1],[5,2,4,1,5,-2],[4,1,5,2,4,1,5,-1],[6,-1,7,-2,6,1,7,1]],[[1,1,2,
1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,2,4,1,5,-1],[6,2,5,2,4,1,5,-2,6,
-2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,2,6,1,4,-1,6,2,4,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,
1,5,-1,2,-1,1,-1,5,-1],[6,2,4,-2,6,-1,4,-1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,
2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[4,1,6,2,7,-1,4,1,6,-1,7,1]],[[1,1,2,1],[3,
2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,2,4,2,6,1,4,1]]],[[[1,1,2,1],[
3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,1],[7,2,4,2]],[[1,1,2,
1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2,6,-1,4,-1,6,1,4,
-1]],[[1,1,2,1],[3,1,2,2,1,1,3,-1,2,-2],[4,-4]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,
1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[4,1,6,1,7,1,6,2,7,1]],[[1,1,2,1],[3,2,2,
3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,-1,6,1,4,2,6,-2,4,-1]]],[[[1,
1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[5,2,4,1,5,-2],[4,1,5,2,4,1,5,-1],[7,2,
6,-1,7,-1,6,1,7,1]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,2,4,1,5,
-1],[6,-3]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,
-1,5,-1],[4,-3,6,1,4,1,6,-2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,
1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-1,6,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,
3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,1],[4,2,7,-1,6,-1,7,1,6,1]],[[1,
1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,3,4,-1,
6,-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,1,6,1],[4,2,7,1,6,1,7,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[
2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,3,4,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,
2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,3,4,1]],[[1,1,2,1],[1,
-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[6,2,7,-1,6,
1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,1,6,-1,4,2,6,-2,4,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,
1,1,5,-1,2,-1,1,-1,5,-1],[6,-1,4,2]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,
1,-1,4,-2,2,-1],[5,1,3,2,5,-1,3,2]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,
-1,4,-2,2,-1],[3,2,5,-1,3,-1,5,1,3,-1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,
1,1,-1,4,-2,2,-1],[5,1,3,-3,5,2,3,1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,
-1,4,-2,2,-1],[3,1,5,-1,3,-3]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,
1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,3,4,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,
-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2,6,2,4,-1,6,-1]]],[[[2,1,1,1],[2,
1,3,-1,1,1,2,2,3,1],[4,3],[1,1,2,1],[2,1,1,1,6,1,2,1,6,1],[5,1,7,1],[8,1,5,1,
7,-2,8,1]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1],[4,5]]],[[[1,1,2,1],[1,-2,3,-1,2,
-1,3,2],[2,1,1,1],[5,2,4,1,5,-2],[4,1,5,2,4,1,5,-1],[6,1,7,1],[6,1,7,-1,8,1,7,
1,8,2]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[5,2,4,-1,5,-2]]],[[[1,1,2,
1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,2,4,1,6,1,4,1,6,1,4,
2]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,-1,6,-1,
4,1,6,-1,4,2]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[
6,1,4,-1,6,1,4,2,6,1,4,1,6,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,
1,5,-1,2,-2],[4,2],[7,1,6,1,7,1,6,-1,7,1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,
1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,2,4,-2,6,1,4,1]],[[1,1,2,1],[3,2,2,3,3,1],[
1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2,6,-1,4,-1,6,1,4,-1]]],[[[1,1,2,1],[3,2,
2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[4,1,6,1],[7,1,8,-1,7,1,6,1,
8,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[6,-1,
7,1,6,-1,7,-1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[
4,2,6,1,4,1,6,2,4,-1,6,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,
-1,2,-2],[6,1,4,1],[6,1,7,1,6,1,7,-1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[
5,1,2,2,1,1,5,-1,2,-2],[4,2],[6,-1,7,1,6,-1,7,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,
1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2,6,2,4,-1,6,-1]]],[[[1,1,2,1],[3,1,1,-1,2,
-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,1,6,1,7,-1,6,2,7,
1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[
4,2],[7,2,6,2,4,1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,
-2],[4,2],[7,1,6,1,4,1,6,1,7,1]],[[1,1,2,1],[3,1,2,2,1,1,3,-1,2,-2],[4,
2]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[7,1,4,
1,6,1,7,1,6,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,
1,4,2,6,1,4,-2]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,
-2],[4,2],[4,1,6,-1],[7,1,8,2,7,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,
2,1,1,5,-1,2,-2],[4,1,6,1,4,2,6,1,4,1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[
5,1,2,2,1,1,5,-1,2,-2],[4,2,6,-2,4,1,6,-1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,
1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,1,6,1,4,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,
2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,2,6,-1,7,1,6,1,4,1]],[[1,1,
2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,1],[
6,1,7,1,4,2,7,-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,
1,5,1,1,-2,2,2],[6,1,4,2,6,-1,4,-1,6,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,
1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2,6,-1,4,1,6,-1]]],[[[1,1,2,1],[3,2,2,
3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[4,1,6,1,7,-1,6,1,7,1]],[[1,1,
2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,-2,6,1,4,1]]],[[[
1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[
4,1,6,1,7,1,6,-1,7,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,
2,1,5,1,1,-2,2,2],[6,1,4,3,6,-1]]],[[[2,1,1,1],[2,1,3,-1,1,1,2,2,3,1],[4,3],[
1,1,2,1],[2,1,1,1,6,1,2,1,6,1],[5,1,7,1],[7,1,8,2,7,1,5,1,8,-2]],[[2,1,1,1],[
2,1,3,-1,1,1,2,2,3,1],[4,3],[1,1,2,1],[2,1,1,1,6,1,2,1,6,1],[5,1,7,1],[7,1,8,
1,7,1,5,1,7,-2,8,-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,
-1,2,-1,1,-1,5,-1],[4,1,6,3,4,1,6,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[4,
-3]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[7,1,
6,1,7,1,6,2]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,
4,-1],[7,2,6,1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,
-2],[4,2],[4,1,6,-1,7,1,6,-1,7,-2]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,
2,1,1,5,-1,2,-2],[6,1,4,-1,6,-1,4,1,6,-1,4,2]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,
1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[4,1,6,1],[7,1,8,-1,7,1,6,1,8,1]],[[1,1,
2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,-2,4,2,6,1]]],[[[
1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,-1,6,1,4,2,6,
1,4,1,6,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,2,4,
-2,6,1,4,1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,
1,6,1],[4,2,7,-1,6,-1,7,1,6,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,
1,5,-1,2,-2],[6,2,4,2,6,1,4,1]],[[1,1,2,1],[3,1,2,2,1,1,3,-1,2,-2],[4,
-4]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[6,1,4,1],[6,1,7,1,6,1,7,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[
2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,2,4,1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,
1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2,5,-1,3,-1,5,1,3,-1]],[[1,1,2,1],[3,1,2,1,1,
-1,3,-2,2,-1],[4,2,2,1,1,1,2,3,1,1,4,-1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,
2,1,1,-1,4,-2,2,-1],[3,2],[6,-2,5,-1,6,1,5,1,3,1]],[[1,1,2,1],[3,1,2,1,1,-1,3,
-2,2,-1],[4,-1,1,-1,2,-3,1,-1,2,-1]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,
1],[4,1,5,1],[6,1,5,1],[6,1,7,1,4,-2,7,1],[5,1,4,1],[9,1,5,-1,9,-1,5,-2,4,
-1],[8,-1,10,1,8,1]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[6,1,
5,1],[6,1,7,1,4,-2,7,1],[5,1,4,1],[9,1,5,-1,9,-1,5,-2,4,-1],[10,1,8,1,10,
-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,
2],[6,1,4,1,6,3,4,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,
1,5,1,1,-2,2,2],[4,1,6,-1],[4,2,7,2]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,
1,2,2,1,1,5,-1,2,-2],[4,1,6,1],[4,2,7,2]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[
5,1,2,2,1,1,5,-1,2,-2],[4,1,6,-1,4,1,6,-1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,
1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[6,1,4,1,6,1,7,1,6,-1,7,1]],[[1,1,2,1],[3,2,
2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,-2,6,1,4,-1,6,1]]],[[[2,1,1,
1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,1,5,2,3,1,5,-1,3,-2]],[[2,1,
1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[5,1,3,1,5,-1,3,-1]]],[[[1,1,
2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1],[
4,2,7,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[6,2,4,-1,6,2,4,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]]],[[[1,1,
2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[4,1,
6,1],[6,1,8,1,7,-1,8,1,6,1,7,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,
-4]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[
4,2],[4,1,6,1],[7,1,8,-1,7,1,8,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,
2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,-1,6,-1,4,1,6,1]]],[[[1,1,2,1],[1,
-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,1,6,-1,7,1,
6,1,4,-1,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,
-1,5,-1],[4,1,6,-1,4,1,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[4,-3]],[[1,
1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,-3,6,
-4]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2,5,-1,3,-1,5,
2]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[5,1,3,1,5,-1,3,
1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,
2],[4,2],[6,1,4,1,6,1,7,1,6,-1,7,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[
1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,-1],[7,1,4,2,7,1]]],[[[1,1,2,1],[1,-2,
2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1,4,-1,6,-2]],[[
1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[4,-3]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,
2,1,1,-1,4,-2,2,-1],[3,2],[5,1,3,1,6,1,5,-1,6,-1]],[[1,1,2,1],[3,1,2,1,1,-1,3,
-2,2,-1],[4,-1,1,-1,2,-3,1,-1,2,-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,
1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,2,4,-2,6,1,4,-1]],[[1,1,2,1],[3,1,
1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,1,6,1,7,-1,6,
1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,1,6,1],[4,2,7,2,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,
1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-1,6,1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[
5,1,2,2,1,1,5,-1,2,-2],[4,1,6,2,4,-2,6,1,4,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,
2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,-1,6,1,4,2,6,1]]],[[[1,1,2,1],[1,-2,2,-1,
3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-1,4,-2,6,-1,4,1,6,
-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[
6,2,4,2]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]]],[[[1,1,2,1],[1,-2,2,
-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-1,4,-3,6,1]],[[1,
1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,
-1],[7,2,6,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]]],[[[1,1,2,1],[1,
-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[7,1,8,1,7,
-3,8,-2]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[
5,1,4,1,5,1],[8,1,7,1,8,-1]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,
1],[5,1,6,2,5,1],[7,2]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,
1],[5,1,6,2,5,1],[5,1,4,1,5,1],[8,2,7,2,8,1,7,1]],[[1,1,2,1],[1,-2,3,-1,2,-1,
3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[7,-1,8,2]]],[[[2,1,1,
1],[2,1,3,-1,1,1,2,2,3,1],[4,3],[1,1,2,1],[2,1,1,1,6,1,2,1,6,1],[7,2,5,1,7,3,
5,1]],[[2,1,1,1],[2,1,3,-1,1,1,2,2,3,1],[4,3],[1,1,2,1],[2,1,1,1,6,1,2,1,6,
1],[7,1,5,1],[8,2,7,-1,5,1]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,
5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[7,1,8,-1,7,-2,8,-2]],[[1,1,2,1],[1,-2,3,-1,
2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[7,1,8,2]]],[[[1,1,
2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,-1,
6,2,7,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[6,1,4,1,6,1,4,1]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[
6,1,5,1],[6,1,7,1,4,-2,7,1],[5,1,4,1],[9,1,5,-1,9,-1,5,-2,4,-1],[8,-1,10,1,8,
-1,10,-1]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[6,1,5,1],[6,1,
7,1,4,-2,7,1],[8,2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,
-1,2,-1,1,-1,5,-1],[4,1,6,-1,4,-3,6,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[
4,2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,2,6,1,4,1,6,1,4,-1,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,
1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1,4,-2]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,
-1],[4,-4]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,
4,1,6,1,4,2,6,2,4,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,
-2],[4,1,6,-2,4,1,6,1,4,2]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,
-1,2,-2],[6,1,4,1,6,1,4,-2,6,1,4,1,6,-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,
-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-1,6,-1,4,2,6,1]],[[1,1,2,1],[
1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,-1,6,1,4,-1,6,
1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[
4,1,6,-1,4,1,6,2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,
2,-1,1,-1,5,-1],[4,2],[7,1,6,-1,4,1,6,2,7,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,
-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,-2]],[[1,1,2,1],[1,-2,2,-1,
3,2,2,2,1,-1],[4,-3]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,
-1,2,-1,1,-1,5,-1],[4,2],[7,1,6,-1,4,1,6,2,7,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,
2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,2]],[[1,1,2,1],[1,-2,2,
-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,-2,4,-3]]],[[[
1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[
7,1,6,-1,7,1,6,1,4,-1,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,
1,5,-1,2,-1,1,-1,5,-1],[4,-3,6,-2,4,-1,6,-1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,
3,-1],[4,-4]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,
2,6,-1,4,-1,6,-1,4,-1,6,-2]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,
5,-1,2,-2],[6,1,4,1,6,1],[7,1,4,2,7,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,
1,2,2,1,1,5,-1,2,-2],[4,2],[7,2,6,2,4,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,
-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,1,6,-1,7,1,6,1,4,-1,6,1]],[[
1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,2,4,
-1,6,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,1,6,-4,4,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,-1,4,1,2,-1],[1,1,
2,1],[1,-2,2,-2,6,2,2,2,1,1],[5,1,7,1],[7,1,8,2]],[[1,1,2,1],[1,-2,2,-2,3,2,2,
2,1,1],[4,5]],[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,-1,4,1,2,-1]]],[[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,1,6,
-1,4,1,6,2,7,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,
1,-1,5,-1],[6,1,4,1,6,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[4,-3]]],[[[1,1,
2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,1,
6,1,4,1,6,1,7,1,6,2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,
1,5,1,1,-2,2,2],[4,2,6,-1,4,1,6,-1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,
1,2,2,1,1,5,-1,2,-2],[6,1,4,1,6,-1,4,1,6,1,4,2]],[[1,1,2,1],[3,2,2,3,3,1],[1,
1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,1],[7,1,6,1,7,1,6,1]],[[1,1,2,1],[3,2,2,
3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,-2,6,1,4,-1,6,1]]],[[[1,1,2,
1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2,6,-1,4,1,
6,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,
2],[4,-1,6,2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,
1,-1,5,-1],[4,1,6,1],[7,1,4,2,7,-1,6,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,
-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,-1,6,-1,4,1,6,1]],[[2,2],[2,
1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,
2,2,1,1,5,-1,2,-2],[4,2],[7,2,6,1,7,1,6,-2]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,
1],[5,1,2,2,1,1,5,-1,2,-2],[4,2,6,1,4,1,6,1,4,-1,6,-1]],[[1,1,2,1],[3,1,2,2,1,
1,3,-1,2,-2],[4,-4]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,
-2],[4,2],[7,2,6,-1,7,1,6,1,4,1,6,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,
2,2,1,1,5,-1,2,-2],[6,1,4,-2,6,-2]],[[1,1,2,1],[3,1,2,2,1,1,3,-1,2,-2],[4,
-4]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,1,6,1],[7,1,4,2,7,-1,6,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[
2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1],[7,2,6,1,4,2]],[[2,2],[2,1,1,1,3,-1,2,
-1,1,-1,3,-1],[4,-4]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,
-1,2,-1,1,-1,5,-1],[4,1,6,1],[6,1,7,-1,6,1,7,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,
2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,-1,4,1,6,-1]],[[2,2],[
2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,
2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,1,4,1,6,1,7,-1,6,-1,7,-1]],[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,2,4,-1,6,
1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[
4,2],[7,-1,6,-1,7,1,6,2]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,
-1,2,-2],[4,2],[7,1,6,-1,7,-1,6,2,4,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,
1,2,2,1,1,5,-1,2,-2],[4,2,6,1,4,1,6,2]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,
1,2,2,1,1,5,-1,2,-2],[6,2,4,-2,6,-1,4,1,6,-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,
2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,1,6,-1,4,-1,6,-1,7,
-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[
6,1,4,2,6,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,
1,-1,5,-1],[4,2,6,-1,4,1,6,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,
1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,
2,1,1,-1,4,-2,2,-1],[5,2,3,-1,5,1,3,3]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,
1,-1,4,-2,2,-1],[3,2],[5,1,6,-1,5,-1,6,-2]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,
2,1,1,-1,4,-2,2,-1],[3,1,5,-1,3,1,5,-1]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,
1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[8,1,7,1,8,-1,7,1,8,1]],[[1,1,2,
1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[7,-1,
8,2]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,
4,1,5,1],[7,1,8,-1,7,2,8,1]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,
1],[5,1,6,2,5,1],[5,1,4,1,5,1],[8,1,7,2,8,-1]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,
2],[2,1,1,1],[4,1,5,1],[6,2,5,1,6,1,5,2],[5,1,4,-1,5,1,4,-1,5,-3,4,-1],[7,-3,
8,2]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[6,2,5,1,6,1,5,2],[
5,1,4,-1,5,1,4,-1,5,-3,4,-1],[8,1,7,1,8,1,7,1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,
1],[4,1,2,1,1,-1,4,-2,2,-1],[5,1,3,1],[6,1,3,2,6,1]],[[1,1,2,1],[3,1,2,1,1,-1,
3,-2,2,-1],[2,1,1,1,2,3,1,1,4,-1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,
-1,4,-2,2,-1],[3,2],[5,-1,6,1,5,-1,6,1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,
1,1,-1,4,-2,2,-1],[3,1,5,-1,3,1,5,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,
-1,4,1,2,-1],[1,1,2,1],[1,-2,2,-2,6,2,2,2,1,1],[5,1,7,1],[8,2,7,2,8,2]],[[1,1,
2,1],[2,1,1,1],[2,1,3,1,4,-1,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,
-1,3,-1,4,1,2,-1],[1,1,2,1],[1,-2,2,-2,6,2,2,2,1,1],[5,1,7,1],[7,1,8,-2,7,1,5,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,-1,4,1,2,-1],[1,1,2,1],[1,-2,2,-2,
6,2,2,2,1,1],[5,1,7,1],[8,2,7,2,8,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,-1,
4,1,2,-1],[1,1,2,1],[1,-2,2,-2,6,2,2,2,1,1],[7,1,5,1,7,2]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1,4,-1,3,-1,4,1,2,-1],[1,1,2,1],[1,-2,2,-2,6,2,2,2,1,1],[5,-1,7,-1,
5,1,7,1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[5,3,3,
-3]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,1,5,-1,3,1,5,
-1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2,5,2,3,1]],[[
2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,1,5,-1,3,1,5,-1]]],[[[
2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[5,3,3,-3]],[[2,1,1,1,2,3,
1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2,5,2,3,1]]],[[[1,1,2,1],[1,-2,3,
-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[8,1,7,2,8,
-1]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[7,1,5,
1,4,1,5,1]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,
1],[5,1,4,1,5,1],[7,-1,8,2]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,
5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[8,2,7,1,8,-1,7,2]],[[1,1,2,1],[1,-2,3,-1,2,
-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[8,1,7,1,8,-1]],[[1,1,
2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[7,1,5,1,4,1,5,
1]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,
4,1,5,1],[8,1,7,2,8,-1]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[
5,1,6,2,5,1],[5,1,4,1,5,1],[7,2,8,2]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,
1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[8,2,7,-1,8,1]]],[[[2,1,1,1,2,3,1,
1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[5,2,3,-1,5,1,3,3]],[[2,1,1,1,2,3,1,1],[
1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2,5,2,3,1]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,
3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[8,2,7,-1,8,1]],[[1,1,2,
1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[7,1,5,-1,4,-1,5,-1,
7,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,
2],[4,1,6,-1,4,-2,6,-2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,
1,2,1,5,1,1,-2,2,2],[4,1,6,3,4,2]]],[[[2,1,1,1],[2,1,3,-1,1,1,2,2,3,1],[4,3],[
1,1,2,1],[2,1,1,1,6,1,2,1,6,1],[7,1,5,1,7,-1,5,1,7,3]],[[2,1,1,1],[2,1,3,-1,1,
1,2,2,3,1],[4,3],[1,1,2,1],[2,1,1,1,6,1,2,1,6,1],[5,1,7,-1,5,1,7,1]]],[[[1,1,
2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,-2,4,2,6,1,4,1,6,
1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,-1,4,-2,
6,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,-1,4,1,2,-1],[1,1,2,1],[1,-2,2,
-2,6,2,2,2,1,1],[5,1,7,1],[8,2,7,1,8,1,5,-1]],[[1,1,2,1],[1,-2,2,-2,3,2,2,2,1,
1],[4,2]]],[[[2,1,1,1],[2,1,3,-1,1,1,2,2,3,1],[4,3],[1,1,2,1],[2,1,1,1,6,1,2,
1,6,1],[5,1,7,1],[7,-1,8,2,7,1]],[[2,1,1,1],[2,1,3,-1,1,1,2,2,3,1],[4,3],[1,1,
2,1],[2,1,1,1,6,1,2,1,6,1],[7,1,5,1,7,2,5,1,7,1]]],[[[2,1,1,1],[2,1,3,-1,1,1,
2,2,3,1],[4,3],[1,1,2,1],[2,1,1,1,6,1,2,1,6,1],[5,1,7,1],[7,1,5,1],[9,1,8,-2,
7,1,9,-1,8,1]],[[2,1,1,1],[2,1,3,-1,1,1,2,2,3,1],[4,3],[1,1,2,1],[2,1,1,1,6,1,
2,1,6,1],[5,1,7,-1,5,1,7,-1,5,1,7,2]]],[[[2,1,1,1],[2,1,3,-1,1,1,2,2,3,1],[4,
3],[1,1,2,1],[2,1,1,1,6,1,2,1,6,1],[5,1,7,1],[8,2,5,1,7,-1,8,2,7,1]],[[2,1,1,
1],[2,1,3,-1,1,1,2,2,3,1],[4,3],[1,1,2,1],[2,1,1,1,6,1,2,1,6,1],[5,1,7,-1,5,1,
7,1,5,1]]],[[[2,1,1,1],[2,1,3,-1,1,1,2,2,3,1],[4,3],[1,1,2,1],[2,1,1,1,6,1,2,
1,6,1],[5,1,7,1],[5,1,7,-2,8,2,7,1,5,1]],[[2,1,1,1],[2,1,3,-1,1,1,2,2,3,1],[4,
3],[1,1,2,1],[2,1,1,1,6,1,2,1,6,1],[7,1,5,1,7,-2,5,1,7,2]]],[[[1,1,2,1],[3,2,
2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[4,1,6,1],[7,1,8,-1,6,-1,7,
-1,6,-1,8,-1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,
1,6,1],[6,1,7,-1,6,1,7,1,4,2]],[[1,1,2,1],[3,1,2,2,1,1,3,-1,2,-2],[4,-4]]],[[[
1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[
6,-1,7,1,4,1,6,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]],[[1,1,2,1],[1,
-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-3,6,-1]],[[
1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[
7,1,6,-1,7,1,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,
-1,1,-1,5,-1],[4,2],[7,-1,6,-1,4,1,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[
2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,2,4,-1,6,2,4,1]]],[[[1,1,2,1],[3,1,1,-1,
2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,1,4,1,6,-1,4,-1,6,
-1,7,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,
2,2],[6,2,4,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,
1,1,-2,2,2],[6,1,4,-3,6,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,
1],[5,1,2,1,5,1,1,-2,2,2],[6,2,4,-2,6,1,4,1,6,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,
1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,1,4,1,6,2,7,1]]],[[[1,1,
2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1,4,
2,6,1,4,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-2]],[[1,1,2,1],[1,-2,2,
-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-1,6,2,4,1,6,
1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[
4,2],[7,1,6,2,7,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,
2,-1,1,-1,5,-1],[6,1,4,2,6,1,4,2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,
2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1,4,-1,6,1,4,-1,6,1]],[[2,2],[2,1,1,1,
3,-1,2,-1,1,-1,3,-1],[4,-4]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,
1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,1,6,-1,7,1,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,
2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,2,6,1,4,2]],[[1,1,2,1],[1,
-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1],[7,1,4,1,
6,1,7,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,
5,-1],[4,2],[7,-1,6,1,4,1,6,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,
-4]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[
4,1,6,1,4,2,6,1,4,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,
2,-1,1,-1,5,-1],[6,2,4,1,6,2,4,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,
2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,-1,4,-2]]],[[[1,1,2,1],[3,1,1,-1,
2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,1,6,-1,7,-1,6,-1,
4,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,
2],[6,2,4,-2,6,1,4,-1,6,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,
1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,-1,6,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,
1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,1,6,-1,4,1,6,-1,7,1]]],[[[1,1,2,
1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2,6,1,4,1,
6,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,
2],[6,2,4,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[4,-3]]],[[[1,1,2,1],[3,
1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[6,1,4,1,7,1,
6,1,7,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,
2,2],[4,1,6,1],[6,1,7,-1,6,1,7,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,
1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,2,4,-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,
3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,1],[6,1,7,-1,6,1,7,1]],[[1,1,2,
1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2,6,3]],[[
1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,2,4,
-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,2,6,1,4,2,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,
-1,2,-1,1,-1,5,-1],[4,1,6,-1,4,-2,6,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[
4,-3]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,2,6,1,4,2,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,
-1,2,-1,1,-1,5,-1],[4,2,6,2,4,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[
2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,2,6,1,4,2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,
2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2,6,1,4,-1,6,-1]],[[1,1,2,1],[
1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-1,6,-1,4,
2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[
6,1,4,-3,6,-1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[
4,2,6,-2,4,1,6,-1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,
-2],[4,2,6,-1,4,-1,6,1,4,-1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,
5,-1,2,-2],[4,1,6,-1],[6,1,7,-1,6,1,7,-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,
-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,1,6,-1,7,-1,6,-1,4,-1]],[[2,
2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[
2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,2,6,1,4,2]]],[[[1,1,2,1],[1,-2,2,-1,
3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,2,6,1,4,-1]],[[2,2],[
2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,
2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,2,4,-3]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,
1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,-2,4,-1,6,-1]],[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-2,6,1,
4,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-2]]],[[[1,1,2,1],[3,1,1,-1,2,
-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,1,6,1,4,2,6,1,4,1,6,
-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[
4,1,6,1],[7,2,4,-2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,
1,5,1,1,-2,2,2],[4,2],[6,2],[8,1,7,1,8,1,7,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,
2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,3,6,1,4,-1]]],[[[1,1,2,1],[1,
-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2,6,1,4,-1,6,
1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[
6,2,4,1,6,-1,4,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,
-1,1,-1,5,-1],[6,1,4,-1,6,-1,4,2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,
2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,1,6,-1,7,1,6,-1]],[[1,1,2,1],[1,-2,
2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,-1,6,1,4,1]],[[1,1,
2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,2,6,
1,4,2]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,
2,2],[4,2],[6,1,7,2,6,-1,7,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,
1],[5,1,2,1,5,1,1,-2,2,2],[4,2,6,-1,4,1,6,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,
2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[6,-1,7,1,4,1,6,1]]],[[[1,1,2,
1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,1],[6,
1,7,-1,6,1,7,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,
1,1,-2,2,2],[4,2,6,3]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,
2,1,5,1,1,-2,2,2],[6,1,4,3,6,-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,
2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-1,6,-1,4,2]],[[1,1,2,1],[1,-2,2,-1,3,
2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,-1,6,2,4,1]],[[1,1,2,1],[1,
-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2,6,1,4,-1,6,
1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,
2],[6,2,4,1,6,1,4,1,6,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,
1,2,1,5,1,1,-2,2,2],[6,2,4,2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,
1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,3,6,-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,
-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,1,6,-1,7,1,6,1]],[[1,1,2,1],[
1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,-1,4,
-2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[
6,1,4,-1,6,1,4,2]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,
1,5,1,1,-2,2,2],[4,2],[7,1,6,-1,7,1,6,-1,4,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,
2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2,6,2]],[[1,1,2,1],[3,1,1,-1,2,
-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,1],[4,2,7,-2]]],[[[1,
1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[6,
-1,7,1,4,1,6,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,
1,1,-2,2,2],[4,1,6,2,4,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[
5,1,2,1,5,1,1,-2,2,2],[4,1,6,1],[6,1,7,-1,6,1,7,1]]],[[[1,1,2,1],[3,1,1,-1,2,
-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,1,4,2,6,1,4,1]],[[1,1,
2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,
-2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[
6,1,4,1],[7,1,6,-1,7,-1,6,-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,
2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[6,2,7,1,6,-1,4,-1,6,-1,7,-1]],[[1,1,2,1],[
3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[6,1,7,1],[
7,1,8,2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,
2,2],[6,1,4,2,6,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,
1,5,1,1,-2,2,2],[4,2],[6,2],[7,1,8,1,7,1,8,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,
2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2,6,1,4,1,6,1]],[[1,1,2,1],[3,1,
1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,2,4,2]]],[[[1,1,2,
1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,1,4,-2,
6,1,4,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,
2,2],[4,-1,6,2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[4,3]]],[[[1,1,2,1],[
3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[7,2,6,-1,4,1,6,1]],[[1,
1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,2,4,1,6,-1,4,2]],[[
1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,1,6,-2,4,-1,6,
-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,1,6,-1,4,-2,6,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,
5,-1,2,-1,1,-1,5,-1],[4,-1,6,2,4,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[4,
-3]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,
2],[4,2],[6,1,4,1,7,1,6,1,7,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,
1],[5,1,2,1,5,1,1,-2,2,2],[4,2,6,1,4,1,6,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,
1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,-2]]],[[[1,1,2,1],[3,2,2,3,3,
1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[7,1,4,1,6,2,7,1]],[[1,1,2,1],[3,2,
2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,2,6,1,4,-2]],[[1,1,2,1],[3,
2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,1],[6,1,7,1,6,1,7,1]]],[[[
1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[
6,2],[7,1,8,1,7,1,8,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,
2,1,5,1,1,-2,2,2],[4,2],[7,1,6,1,7,-1,6,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,
3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,2,4,-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,
3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,1,6,-1,4,-1,6,-1,7,-1,
6,-2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,
2],[6,1,4,1,6,1,4,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,
2,1,5,1,1,-2,2,2],[4,2],[7,2,6,-1,4,1,6,-1,7,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,
3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,2,4,3,6,-2]],[[1,1,2,1],[3,1,
1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,1],[6,1,7,-1,6,
1,7,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[4,3]],[[1,1,2,1],[3,1,1,-1,2,
-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,3,6,-1]]],[[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-1],[7,
1,6,-1,4,-2,7,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,
-1,1,-1,5,-1],[4,2],[7,1,6,-1,7,1,6,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[
4,-4]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,2],[7,-1,6,-1,4,1,6,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,
1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[6,1,7,-1,6,1,7,-1]],[[1,1,2,1],[1,-2,2,-1,3,
2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-1,6,1,4,2]],[[2,2],[2,
1,1,1,3,-1,2,-1,1,-1,3,-1],[4,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[
2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1,4,2,6,1,4,1]]],[[[1,1,2,1],[3,1,1,-1,2,
-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[6,2],[7,1,8,1,7,1,8,
1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[
4,1,6,-2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,
2,2],[4,2],[4,1,6,1,7,1,4,1,6,-1,7,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,
1],[4,-3]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,
-1,5,-1],[4,1,6,2,4,-2,6,1,4,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[
2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2,6,1,4,-1,6,-1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,
-1,3,-1],[4,-4]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,
1,-1,5,-1],[6,1,4,1,6,1],[7,2,4,2]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,
2,2,1,1,5,-1,2,-2],[4,2],[7,1,6,-1,4,-1,6,-1,7,1,6,2]],[[1,1,2,1],[3,2,2,3,3,
1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,-2,6,-1,4,1,6,1]],[[1,1,2,1],[3,2,2,3,
3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[6,1,4,1,6,1,7,-1,4,1,6,-1,7,
1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,2],[6,-1,7,1,4,1,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,
1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-1,4,1,6,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,
-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,2,4,1,6,2,4,-1]],[[2,2],[2,1,1,1,3,
-1,2,-1,1,-1,3,-1],[4,-4]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,
1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[6,2],[8,1,7,1,8,1,7,1]],[[1,1,2,1],[3,1,1,-1,
2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,1,6,1,4,-2,6,-1]],[[
1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[
7,1,6,1,4,1,6,1,7,1,4,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,
1,2,1,5,1,1,-2,2,2],[4,2],[6,-1,7,1,4,1,6,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,
2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,1,4,-2,6,1,4,1]],[[1,1,2,1],[
3,1,1,-1,2,-1,3,1,2,1,3,1],[4,-3]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,
1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[6,-1,7,1,4,1,6,1]],[[1,1,2,1],[3,1,1,-1,
2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,3,6,-1]]],[[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[4,1,6,
1],[8,1,7,-1,8,1,6,1,7,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,
5,-1,2,-1,1,-1,5,-1],[4,2],[7,-1,6,-1,4,1,6,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,
-1,3,-1],[4,-4]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,
1,-1,5,-1],[6,1,4,-1,6,1,4,2,6,-2]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[
1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[6,2],[7,1,8,1,7,1,8,1]],[[1,1,2,1],[3,
1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,1,6,1,7,-1,
6,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[4,-3]],[[1,1,2,1],[3,1,1,-1,2,
-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,2,4,3,6,-2]]],[[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,-1,6,
-1,4,1,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,
-1,5,-1],[4,1,6,2,4,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,
-1,2,-1,1,-1,5,-1],[6,1,4,1,6,-2,4,-1,6,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,
-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-1,6,-1,4,2]]],[[[1,1,2,1],[3,
1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,1,6,1,4,
2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[
6,1,4,-2,6,1,4,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,
5,1,1,-2,2,2],[4,-1,6,2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,
1,5,-1,2,-1,1,-1,5,-1],[4,2],[4,1,6,1],[8,1,7,-1,8,1,6,1,7,1]],[[1,1,2,1],[1,
-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,2,4,-1,6,2,4,
1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]],[[1,1,2,1],[1,-2,2,-1,3,2,2,
2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,1,6,3,4,1,6,1,7,1]]],[[[
1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[
7,1,6,-1,7,-1,4,1,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,
-1,2,-1,1,-1,5,-1],[4,1,6,1],[7,1,6,-1,7,-1,4,-2]],[[2,2],[2,1,1,1,3,-1,2,-1,
1,-1,3,-1],[4,-4]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,
-1,1,-1,5,-1],[4,1,6,1,4,2,6,1,4,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,
2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,1,4,-2,6,2]]],[[[1,1,2,1],[1,-2,2,
-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,2,4,-1,6,2,4,1]],[[1,
1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,2,
4,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[6,1,4,2,6,1,4,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,
-1,2,-1,1,-1,5,-1],[6,1,4,-1,6,2,4,1,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,
-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2,6,1,4,2,6,1]]],[[[1,1,2,1],[1,-2,
2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,-1,6,1,4,1,6,
1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]],[[1,1,2,1],[1,-2,2,-1,3,2,2,
2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,2,4,-1,6,-2]],[[1,1,2,1],[
1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-1,4,1,6,
2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[6,1,4,2,6,1,4,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,
-1,2,-1,1,-1,5,-1],[4,2],[7,1,6,1,7,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[
2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,2,4,1]],[[2,2],[2,1,1,1,3,-1,2,
-1,1,-1,3,-1],[4,2]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,
2,1,5,1,1,-2,2,2],[4,2],[6,1,7,-1,6,1,7,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,
3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,-1,6,2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,
1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,1,6,-1,4,1,6,-2]]],[[[1,1,
2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1,4,
2,6,1,4,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,
5,-1],[6,1,4,2]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-2]]],[[[1,1,2,1],[3,
2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,2,6,1,4,-2]],[[1,1,2,1],[
3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2,6,1,4,1,6,2]],[[1,1,2,1],[
3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,-2,4,2,6,1]]],[[[1,1,2,
1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,1,6,
-1,7,-1,6,1,4,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,
5,1,1,-2,2,2],[4,1,6,1,4,2,6,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,
2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[6,-1,7,1,4,1,6,1]]],[[[1,1,2,1],[1,-2,2,-1,
3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,2,4,-1,6,1,4,1]],[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,-3,6,-1,4,
-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[
4,-1,6,2,4,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,
1,1,-2,2,2],[6,3,4,1,6,1,4,-2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,
1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,-1,6,-1,4,2,6,1,4,-1]],[[1,1,2,1],[3,1,1,-1,
2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,1,4,-2,6,1,4,
1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[6,1,4,2,6,-1,4,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,
-1,2,-1,1,-1,5,-1],[6,1,4,-1,6,-2,4,1,6,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,
-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,2,4,-1]],[[1,1,2,1],[1,-2,2,-1,
3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2,6,1,4,2,6,1]],[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,2,
4,-1,6,-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,
-1,5,-1],[4,2],[7,1,6,2,7,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,
1,1,5,-1,2,-1,1,-1,5,-1],[4,-1,6,2,4,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,
-1],[4,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,
5,-1],[4,1,6,-2,4,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,
-1,2,-1,1,-1,5,-1],[4,2],[6,-1,7,1,6,-1,7,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,
2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,1,4,1,6,-1,7,1,6,2]],[[1,1,
2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,2,4,
-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[
6,1,4,3,6,-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,
1,-1,5,-1],[6,1,4,1,6,2,4,-1,6,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,
2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,2,4,-3]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,
-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,2,4,-1]]],[[[1,1,2,1],[1,-2,2,
-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,2,6,1,4,2]],[[1,1,
2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-2,6,
1,4,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,1,6,-2,4,-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,
2,1,5,1,1,-2,2,2],[4,2],[7,1,6,-1,7,1,6,-1,4,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,
1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2,6,2]],[[1,1,2,1],[3,1,1,-1,2,
-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[6,-1,7,1,4,1,6,
1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[6,1,4,-1,6,-1,4,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,
-1,2,-1,1,-1,5,-1],[4,-1,6,1,4,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[
1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[6,-1,7,1,6,2]],[[1,1,2,1],[3,1,1,-1,2,
-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2,6,-2,4,-1]]],[[[1,1,2,
1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,1,6,-1,
4,-2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,
2],[4,1,6,-1,4,-1,6,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,
1,2,1,5,1,1,-2,2,2],[4,1,6,1,4,-2,6,1,4,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,
3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,2,4,2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,
1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,3,6,-1]]],[[[1,1,2,1],[3,1,
1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,1],[6,1,7,-1,6,
1,7,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,
2],[6,1,4,1,6,1,4,-2,6,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[
5,1,2,1,5,1,1,-2,2,2],[6,2,4,-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,
2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,2,4,2,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,
1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,-1,6,2,4,1]],[[1,1,2,1],[1,-2,2,
-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,2,4,-1]]],[[[1,1,
2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,1,
6,-1,4,1,6,1,7,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,
-1,1,-1,5,-1],[4,1,6,1,4,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,
1,5,-1,2,-1,1,-1,5,-1],[6,3,4,1,6,1,4,-2]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,
-1],[4,-4]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,
-1,5,-1],[4,1,6,-1],[7,1,6,-1,4,-2,7,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,
-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-1,6,-2,4,1,6,-1]],[[1,1,2,1],[
1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,-1,4,
-2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,2],[7,1,6,1,4,1,6,-1,7,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[
2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,-3,6,1,4,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,
-1],[4,-4]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,
-1,5,-1],[4,1,6,2,4,2,6,1,4,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,
1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,1,4,-2]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,
3,-1],[4,-4]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,
1,-2,2,2],[6,1,4,-2,6,1,4,1,6,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[4,
3]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[7,1,6,
1,7,-1,6,-1,4,-1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,
-2],[6,1,4,-1,6,-1,4,-2,6,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,
1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,1,6,-1,7,-1,4,1,6,-1,7,1]],[[1,1,2,1],[3,1,
1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,1,4,-2,6,1,4,
1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[
4,2],[7,1,4,1,6,2,7,-2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,
1,2,1,5,1,1,-2,2,2],[6,1,4,3,6,1,4,-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,
1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,1,6,-1,4,-1,7,-1,6,1,7,-1]],[[1,
1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,1,
4,-2,6,1,4,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,
1,-2,2,2],[4,2],[7,1,4,1,6,2,7,-2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,
1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,3,6,-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,
2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[6,1,4,1,6,1],[8,1,7,1,8,1,7,
1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[
6,2,4,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,
2,2],[4,2],[7,2,6,1,7,-1,6,1,7,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,
1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,3,6,-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,
1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-1,6,-1,4,2]],[[1,1,2,1],[1,
-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,2,4,1,6,-1,4,
-1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]],[[1,1,2,1],[1,-2,2,-1,3,2,2,
2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-3,6,-1]]],[[[1,1,2,1],[1,
-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,1],[7,2,
4,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,1,6,-1,4,1,6,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,
-1,2,-1,1,-1,5,-1],[6,1,4,1,6,3,4,-2]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[
4,-4]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,
2],[4,2],[7,1,6,-1,7,1,6,2,4,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,
2,1],[5,1,2,1,5,1,1,-2,2,2],[6,2,4,2]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,
1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,3,6,1,4,-1]],[[1,1,2,1],[3,1,1,-1,
2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,1,6,-1,4,2]]],[[[1,
1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,
1,6,-1,7,1,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,
1,-1,5,-1],[4,1,6,1,4,-1,6,-2]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,
-4]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[
6,1,4,-3,6,-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,
1,1,-2,2,2],[4,1,6,-1,4,-2,6,-1,4,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,
1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2,6,-1,4,1,6,-1]],[[1,1,2,1],[3,1,1,-1,
2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,2,6,1,4,-2]],[[1,1,
2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2,6,1,4,
2,6,1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[7,
1,6,1,7,-1,6,-1,4,-1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,
-2],[4,1,6,-1,4,-2,6,1,4,-1,6,1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,
2,1,1,5,-1,2,-2],[4,2],[4,1,6,1,7,1,6,1,7,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,
1],[5,1,2,2,1,1,5,-1,2,-2],[4,2,6,-2,4,-2,6,-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,
2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2,6,-1,4,-1,6,-1,4,1,6,
-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[
6,1,4,2,6,1,4,2]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,2]]],[[[1,1,2,1],[3,
1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[4,1,6,-1,7,1,
6,1,7,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,
2,2],[4,1,6,-1],[7,2,4,2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[
5,1,2,1,5,1,1,-2,2,2],[4,2,6,1,4,2,6,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,
3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[6,1,7,2,6,-1,7,1]],[[1,1,2,1],[3,
1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2,6,1,4,2,6,
1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[
4,2],[4,1,6,-1,7,1,6,1,7,-1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,
1,5,-1,2,-2],[4,1,6,1,4,2,6,1,4,1,6,-1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[
5,1,2,2,1,1,5,-1,2,-2],[6,1,4,-2,6,1,4,-1,6,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,
2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,1],[7,1,6,1,7,1,6,1]]],[[[1,1,2,1],[1,-2,
2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-1,6,-1,4,-1,6,
1,4,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,1,6,-2,4,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,
2,-1,1,-1,5,-1],[4,-1,6,2,4,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,
2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,1,4,1,6,2,7,1]],[[1,1,2,1],[3,1,1,-1,2,
-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,2,4,1]],[[1,1,2,1],[3,
1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,-3,6,
-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,
2],[6,2,4,-2,6,-2,4,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,
1,2,1,5,1,1,-2,2,2],[4,2],[6,-1,7,1,4,1,6,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,
1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,4,4,1]]],[[[1,1,2,1],[3,1,1,-1,2,
-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,1,4,1,6,-1,7,-1,6,
-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[
6,2,4,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,
2,2],[6,2,4,-2,6,1,4,1,6,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,
1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,1,6,-1,4,1,6,-1,7,1]],[[1,1,2,1],[1,-2,2,-1,
3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1,4,1]],[[1,1,2,1],[
1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[6,-1,7,1,4,
1,6,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]]],[[[1,1,2,1],[1,-2,2,-1,
3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,1],[7,2,4,2]],[[
1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2,6,
1,4,-1,6,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,
-1,5,-1],[4,1,6,-1],[7,2,6,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,
1,1,1,5,-1,2,-1,1,-1,5,-1],[6,3,4,1,6,1,4,-2]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,
1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,1,6,-1,4,-1,7,-1,6,1,7,
-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[
6,2,4,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,
2,2],[4,1,6,1,4,-2,6,1,4,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,
1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,3,6,-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,
3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,-1,6,-1,4,-2,6,-1,4,-1,6,-1]],[[
1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2,6,
3]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[
6,2,4,-1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,
4,2,6,1,4,-2]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,
1,6,1],[6,1,7,1,6,1,7,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,
-1,2,-2],[4,1,6,-2,4,2,6,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,
1,1,5,-1,2,-1,1,-1,5,-1],[6,2,4,1,6,2,4,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,
-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,-1,6,2,4,1]],[[1,1,2,1],[1,-2,2,-1,
3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2,6,1]]],[[[1,1,2,1],[1,
-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,2,4,-1,6,2,4,
1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[
4,1,6,2,4,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,
-1,5,-1],[6,1,4,2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,
2,-1,1,-1,5,-1],[4,-1,6,2,4,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,
1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,2]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,
2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,2],[6,-1,7,1,4,1,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,
1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1,4,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[
2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,2,4,1,6,2,4,-1]],[[2,2],[2,1,1,1,3,-1,2,
-1,1,-1,3,-1],[4,-4]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,
2,-2],[4,2],[4,1,6,1],[7,1,8,-1,6,1,8,1,7,-1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,
2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,1,6,-1,4,-1]],[[1,1,2,1],[3,2,2,3,3,1],[1,
1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,-1],[7,1,6,1,7,1,6,1]],[[1,1,2,1],[3,2,
2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,2,4,1,6,-1,4,2]]],[[[1,1,2,1],[
1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[6,-1,7,1,4,
1,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,1,6,1,4,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]],[[1,1,2,1],[1,
-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-1],[7,2,6,
-1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[4,1,
6,1],[7,1,8,-1,6,-1,8,1,7,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,
5,-1,2,-2],[6,1,4,-2,6,1,4,-1,6,1]],[[1,1,2,1],[3,1,2,2,1,1,3,-1,2,-2],[4,
-4]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,-1,4,2,
6,1,4,-1,6,-1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,
2],[3,1,5,1],[6,1,7,1,6,1,7,-1,5,-1]],[[1,1,2,1],[3,1,2,1,1,-1,3,-2,2,-1],[2,
1,1,1,2,3,1,1,4,1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,
2],[6,1,5,-1,6,1,5,2,6,-1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,
-1],[3,-1,5,1,3,3]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,
2,-1,1,-1,5,-1],[6,2,4,-1,6,2,4,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,
2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,
-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-2,4,-1]]],[[[1,1,2,1],[1,-2,2,
-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-1,4,2,6,1,4,
1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[
6,1,4,-2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,
5,-1],[6,1,4,1,6,2,4,-1,6,-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,
1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,-1,6,1,4,1,6,1]],[[1,1,2,1],[1,-2,2,-1,3,
2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1,4,1]],[[1,1,2,1],[1,
-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,-1,4,
-2]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,
2],[4,2],[7,1,6,-1,7,1,6,-1,4,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,
1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,-1,6,1,4,2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,
1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[6,1,7,-2,6,1,4,-1]]],[[[1,
1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,
6,1,4,-2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,
5,-1],[4,-1,6,1,4,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,
2,1,5,1,1,-2,2,2],[4,2],[7,1,6,1,7,-1,6,-2,7,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,
1,2,1,3,1],[4,-3]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,
-2],[4,2,6,-1,4,-1,6,-1,4,-1,6,-2]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,
2,1,1,5,-1,2,-2],[4,1,6,1,4,-2,6,-1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,
2,2,1,1,5,-1,2,-2],[4,2],[4,1,6,-1,7,1,6,-1,7,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,
3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,1,6,-1,4,1,6,-1,7,
1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[
6,2,4,1,6,1,4,1,6,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,
1,5,1,1,-2,2,2],[6,1,4,2,6,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,
2,1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,1,4,-2,6,1,4,1]],[[1,1,2,1],[3,1,1,-1,2,-1,
3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,2,4,2]],[[1,1,2,1],[3,1,1,-1,
2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,3,6,1,4,-1]]],[[[1,
1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,2,4,-2,
6,1,4,1,6,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,
-2,2,2],[6,1,4,-1,6,-1,4,2,6,1,4,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[
1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,2,6,-1,4,-1,6,-1]]],[[[1,1,2,1],[3,2,2,
3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2,6,1,4,-1,6,2,4,1]],[[1,1,2,1],[
3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,1,4,-2,6,1,4,1]],[[1,1,
2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2,6,-1,4,1,6,1]]],[[[
1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2,6,
1,4,1,6,1,4,1,6,-1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,2]],[[1,1,2,1],[
1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1,4,2,6,1,
4,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,2],[7,-1,6,1,4,1,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,
1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-1],[7,2,6,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,
1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2,6,1,4,-1,6,-1]],[[1,1,2,1],[1,
-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-3,6,
-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,
2],[4,2],[7,1,6,1,4,-1,6,1,7,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,
2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,-1,6,1,4,2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,
2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[6,-1,7,1,6,1,4,1]]],[[[1,1,2,
1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[6,-1,7,
1,6,-1,7,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,
-2,2,2],[6,4,4,1]]],[[[2,1,1,1],[2,1,3,-1,1,1,2,2,3,1],[4,3],[1,1,2,1],[2,1,1,
1,6,1,2,1,6,1],[5,1,7,1],[7,1,5,1],[8,2,9,2,7,-1,8,-1]],[[2,1,1,1],[2,1,3,-1,
1,1,2,2,3,1],[4,3],[1,1,2,1],[2,1,1,1,6,1,2,1,6,1],[5,1,7,1],[7,1,5,1],[7,1,8,
1,9,1,8,1,7,1,9,1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,
-2],[6,1,4,-1,6,1,4,2,6,-1,4,-1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,
1,1,5,-1,2,-2],[4,1,6,1],[7,2,4,-2]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,
1,2,2,1,1,5,-1,2,-2],[4,1,6,-1,4,2,6,1,4,-1,6,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,
1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2,6,-2,4,1,6,-1]]],[[[1,1,2,1],[3,2,2,3,3,
1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[7,1,6,1,7,1,6,1,4,1,6,1]],[[1,1,2,
1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,1]]],[[[1,1,2,1],[1,
-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,-1,4,
-3]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[
4,2,6,1,4,1,6,-1]]],[[[2,1,1,1],[2,1,3,-1,1,1,2,2,3,1],[4,3],[1,1,2,1],[2,1,1,
1,6,1,2,1,6,1],[5,1,7,1],[8,1,7,2,8,1,7,1,5,1]],[[2,1,1,1],[2,1,3,-1,1,1,2,2,
3,1],[4,3],[1,1,2,1],[2,1,1,1,6,1,2,1,6,1],[7,1,5,1,7,-1]]],[[[1,1,2,1],[3,2,
2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2,6,1,4,1,6,1,4,-1,6,-2]],[[1,1,
2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,-1,4,-2,6,1,4,-1,
6,1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,-1,
4,-1,6,-1,4,-2]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[
6,1,4,-2,6,1,4,1]],[[1,1,2,1],[3,1,2,2,1,1,3,-1,2,-2],[4,-4]]],[[[1,1,2,1],[1,
-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,-3,6,1,4,-1,6,
-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[
6,1,4,1,6,1,4,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,-1,4,1,2,-1],[1,1,2,
1],[1,-2,2,-2,6,2,2,2,1,1],[7,2],[8,1,5,1,7,1,8,1]],[[1,1,2,1],[2,1,1,1],[2,1,
3,1,4,-1,3,-1,4,1,2,-1],[1,1,2,1],[1,-2,2,-2,6,2,2,2,1,1],[5,-1,7,1]]],[[[1,1,
2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[7,
-1,8,2]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[7,
2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,1,6,1,4,-2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,
-1,1,-1,5,-1],[6,2,4,-1,6,1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,
1,5,-1,2,-2],[4,2],[7,1,4,1,6,-1,7,1,6,1,4,1,6,1]],[[1,1,2,1],[3,2,2,3,3,1],[
1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[7,1,6,-1,4,-1,6,-1,7,-1,6,-1,7,
-1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,1],[
7,1,6,-1,4,2,7,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,
-2],[6,1,4,-1,6,1,4,-2,6,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,-1,4,1,2,
-1],[1,1,2,1],[1,-2,2,-2,6,2,2,2,1,1],[5,1,7,-2,5,1,7,2]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1,4,-1,3,-1,4,1,2,-1],[1,1,2,1],[1,-2,2,-2,6,2,2,2,1,1],[7,1,5,1,7,
-1,5,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,-1,4,1,2,-1]]],[[[1,1,2,1],[1,
-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1],[7,2,6,1,
4,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,1,6,-1],[7,1,6,-1,7,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,
1,1,5,-1,2,-1,1,-1,5,-1],[4,-3,6,1,4,-1,6,-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,
2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2,6,1,4,1,6,1,4,-1,6,1]],[[1,1,
2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,2,4,
1,6,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,2],[7,1,6,1,7,-1,6,2]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,
1,5,-1,2,-2],[4,2],[4,1,6,-1,7,2,6,1,4,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,
1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[4,1,6,-1,7,1,6,-1,7,1]],[[1,1,2,1],[3,2,2,3,
3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2,6,1,4,1,6,1,4,-1,6,-2]]],[[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,2,4,-1,
6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[4,-2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,
2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1,4,1,6,1]]],[[[1,1,2,1],[
1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,-1,4,1,
6,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[4,-2]],[[1,1,2,1],[1,-2,2,-1,3,2,
2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1,4,1,6,1]]],[[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,-1,
4,-3]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,2,6,3,4,-1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,
-2],[4,2],[6,1,7,-1,6,1,4,1,6,1,7,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,
2,2,1,1,5,-1,2,-2],[6,1,4,-1,6,-1,4,-1,6,-1,4,-2]],[[1,1,2,1],[3,2,2,3,3,1],[
1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[7,1,6,1,7,1,6,1,4,1,6,1]]],[[[1,1,2,
1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[7,1,6,-1,4,-1,6,-1,
7,2,6,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2,6,1,
4,-1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,1],[
6,1,7,1,4,-2,6,-1,7,-1]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,
1],[6,2,5,1,6,1,5,2],[7,-3]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,
1],[6,2,5,1,6,1,5,2],[7,1,5,1,4,-1,5,1,4,-1,5,-3,4,-1,7,-1]]],[[[1,1,2,1],[1,
-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,1,4,1,6,-1,
7,-1,6,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,
5,-1],[6,3,4,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,
-1,1,-1,5,-1],[4,1,6,1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,
-1,2,-2],[4,1,6,-1,4,-2,6,1,4,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,
1,1,5,-1,2,-2],[6,1,4,-1,6,-1]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[
4,1,5,1],[5,1,6,2,5,1],[7,-3]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,
5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[8,2,7,1]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,
2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[8,2,7,-2]],[[1,1,2,1],[1,
-2,3,-1,2,-1,3,2],[2,1,1,1],[5,1,4,1,5,1],[6,-4]]],[[[1,1,2,1],[1,-2,3,-1,2,
-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[8,2,7,-2]],[[1,1,2,
1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[7,-1,
8,2]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[7,
2],[8,-1,5,1,4,1,5,1]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,
1,6,2,5,1],[5,1,4,1,5,1],[8,1,7,2,8,-1]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,
1,1,1],[4,1,5,1],[5,1,6,2,5,1],[7,1,5,-1,4,-1,5,-1,7,-2]],[[1,1,2,1],[1,-2,3,
-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[8,1,7,-1,8,1,7,
1]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,
1,5,1],[8,1,7,1,8,1,7,1]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,
1],[5,1,6,2,5,1],[5,1,4,1,5,1],[8,1,7,-2,8,-1]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,
2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[8,2,7,-2]],[[1,1,2,1],[1,
-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[7,1,5,1,4,1,5,1]]],[[[1,
1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[
8,1,7,1,8,1,7,1]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,
2,5,1],[5,1,4,1,5,1],[8,1,7,-1,8,1,7,1]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,
1,1],[4,1,5,1],[5,1,6,2,5,1],[7,-1,5,1,4,1,5,1,7,-1]]],[[[2,1,1,1,2,3,1,1],[1,
1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,1,5,1,3,1,5,1]],[[2,1,1,1,2,3,1,1],[1,1,2,
1],[4,1,2,1,1,-1,4,-2,2,-1],[5,1,3,-2,5,-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,
2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,2,6,-2,4,-1,6,-1,7,-1]],[[
1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,
-2,4,-1,6,-2]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,
1,1,-2,2,2],[4,2],[7,1,4,1,6,-1,7,2,6,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,
1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,-1,4,-2,6,-2]]],[[[1,1,2,1],[3,2,2,
3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[6,1,4,1,6,1],[8,1,7,-1,8,1,7,
-1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,1],[7,
2,4,2]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2,6,-2,
4,-1,6,1,4,-1,6,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,
2,-1,1,-1,5,-1],[4,1,6,1],[7,2,4,2]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,
-2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[
4,2],[7,1,6,2,7,-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,
2,1,5,1,1,-2,2,2],[4,2],[7,2,6,-1,7,1,6,2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,
3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,-1,6,-1,4,1,6,-1]],[[1,1,2,1],[3,1,1,
-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,3,4,-1,6,-1]]],[[[1,
1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1,
4,-2,6,1,4,-1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,2]],[[1,1,2,1],[1,-2,
2,-1,3,2,2,2,1,-1],[4,2]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[
5,1,2,1,5,1,1,-2,2,2],[4,2],[7,1,6,2,7,1,4,1,6,1]],[[1,1,2,1],[3,1,1,-1,2,-1,
3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,-1,6,1,4,2]]],[[[1,1,2,
1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,1,4,2,6,1,4,1,6,
-1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2,6,1,4,-1,
6,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,1,6,1,
4,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,
2],[4,2],[6,1,4,1,6,1,7,1,6,2,7,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,
1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2,6,-2,4,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,
2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,2,6,2,4,1]]],[[[1,1,2,1],[
1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-3,6,
-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[4,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,
1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[6,-1,7,1,6,1]]],[[[1,1,2,1],[
1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,2,6,1,4,
2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[
4,1,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,1,6,-4,4,-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,
-1,2,-1,1,-1,5,-1],[4,2,6,-1,4,1,6,-2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[
2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-3,6,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,
2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,1,4,2,6,1]]],[[[1,1,
2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,
3,4,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[6,1,4,-1,6,1,4,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,
-1,2,-1,1,-1,5,-1],[4,2,6,-1,4,1,6,-2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,
-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,2,4,-1,6,1,4,1,6,1,4,2]],[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1],[4,-3]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,
2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-1,4,1,6,1]]],[[[1,1,2,1],[1,-2,2,-1,
3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-1,6,1,4,2]],[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1,4,-2,
6,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,1,6,-2,4,2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,
2,-1,1,-1,5,-1],[4,2],[7,1,6,-1,7,1,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,
-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-1,6,-3,4,-1]],[[1,1,2,1],[1,
-2,2,-1,3,2,2,2,1,-1],[4,-3]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,
1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1,4,-1,6,-1,4,-2]],[[2,2],[2,1,1,1,3,-1,2,
-1,1,-1,3,-1],[4,-2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,
-1,2,-1,1,-1,5,-1],[6,1,4,-1,6,-1,4,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[
4,2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,1,6,1,4,-3,6,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,
-1,2,-1,1,-1,5,-1],[6,2,4,-1,6,-1,4,1,6,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,
-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-1,4,-3,6,1]]],[[[1,1,2,1],[3,
2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[7,1,6,-1,7,-1,6,-1,4,-1,6,
-1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,-2,6,-1,4,
1,6,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,2,4,2,6,
1,4,1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2,6,1,
4,-1,6,2,4,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,
2],[6,-1,7,1,6,-1,7,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,
2,-2],[4,2,6,2,4,-1,6,-1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,
5,-1,2,-2],[4,2],[6,1,4,1,6,1],[7,1,8,-1,7,-1,8,-1]],[[1,1,2,1],[3,2,2,3,3,
1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,-1,4,1,6,-1]],[[1,1,2,1],[3,2,2,3,
3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,-2,6,1,4,-1,6,1]]],[[[1,1,2,1],[
3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[4,1,6,1,7,1,6,1,7,1]],[[
1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,1,6,1,4,
1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,
2],[6,1,4,-1,6,-1,4,2,6,2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[
5,1,2,1,5,1,1,-2,2,2],[4,1,6,1,4,-1,6,-1,4,-2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,
2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,2,4,-1]]],[[[1,1,2,1],[3,1,1,-1,
2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,1],[7,1,4,-2,6,-1,7,
-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[
6,1,4,1,6,-3]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[
4,2],[7,2,6,-1,4,1,6,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,
2,-2],[6,1,4,-1,6,1,4,2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,
1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-2,4,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,
2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2,6,1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,
1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[4,1,6,-1,7,-1,6,-1,7,-2]],[[1,1,2,1],[3,2,2,
3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,1,4,1,6,1]]],[[[1,1,2,1],[3,1,
1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2,6,3,4,-1,6,
-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[
4,1,6,3,4,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,
1,-1,5,-1],[6,1,4,-2,6,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,
5,-1,2,-1,1,-1,5,-1],[4,1,6,-2,4,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,
2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,2,4,-2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,
1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-2,4,1]],[[1,1,2,1],[1,-2,2,
-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,2]]],[[[1,1,2,1],[
3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[7,2,6,1,7,-1,6,1,7,
-1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,-1,4,1,
6,-1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,1],[
4,2,7,2]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,
-1,6,1,4,1,6,-1,4,-2]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,
-2],[6,1,4,2,6,1,4,1,6,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,
-1,2,-2],[4,2],[6,-1,7,1,6,-1,7,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,
2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-3,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,
2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,-1,6,1,4,-1,6,1]],[[2,2],[2,1,
1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[
2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2,6,-1,4,-1,6,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,
2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,-1,6,1,4,-1,6,1]],[[2,2],[2,
1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,
2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,-2,4,-1,6,-1]],[[1,1,2,1],[1,-2,2,
-1,3,2,2,2,1,-1],[4,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,
-1,2,-1,1,-1,5,-1],[6,1,4,2,6,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,
2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,2,6,-1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,
-1,3,-1],[4,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,
1,-1,5,-1],[4,-1,6,2,4,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,
1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-1,4,2,6,1,4,-1,6,-1]],[[1,1,2,1],[1,-2,2,-1,3,
2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-1,4,1,6,1]]],[[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1],[4,
2,7,1,6,1,7,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,
1,-1,5,-1],[4,1,6,-3,4,1,6,-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[
2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[6,2,7,-1,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,
2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-3,4,1,6,-1]]],[[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[6,2,7,
-1,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,1,6,-1,4,1,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,
-1,2,-1,1,-1,5,-1],[6,1,4,1,6,1,4,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[
2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,1,4,2,6,1]],[[1,1,2,1],[1,-2,2,
-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-2,4,2]]],[[[2,1,
1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,1,5,-1,3,2,5,2,3,1]],[[1,1,
2,1],[3,1,2,1,1,-1,3,-2,2,-1],[4,2,2,1,1,1,2,3,1,1,4,-2]],[[2,1,1,1,2,3,1,1],[
1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,-1,5,1,3,3]]],[[[2,1,1,1,2,3,1,1],[1,1,2,
1],[4,1,2,1,1,-1,4,-2,2,-1],[3,1,5,-1,3,2,5,2,3,1]],[[1,1,2,1],[3,1,2,1,1,-1,
3,-2,2,-1],[4,-1,1,-1,2,-3,1,-1,2,-1]]],[[[1,1,2,1],[3,1,2,1,1,-1,3,-2,2,-1],[
2,1,1,1,2,3,1,1,4,1],[4,1,5,2,4,1]],[[1,1,2,1],[3,1,2,1,1,-1,3,-2,2,-1],[4,-1,
1,-1,2,-3,1,-1,2,-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,
-1,2,-1,1,-1,5,-1],[4,1,6,-1,4,-1,6,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[
2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1,4,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,
2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,1,6,-1,7,1,6,1]],[[1,1,
2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,-1,6,1,4,
-1,6,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]]],[[[2,1,1,1,2,3,1,1],[1,
1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[5,1,3,-1,5,-1,6,1,5,-1,6,1]],[[2,1,1,1,
2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2,5,-1,3,-1,5,1,3,-1]],[[2,1,1,
1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[5,1,3,-1,5,1,3,2,5,2]]],[[[1,1,
2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1,4,
1,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,-1,6,1,4,-2]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]]],[[[1,1,2,
1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,-1,4,1,
6,1,4,2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,
2,2],[4,2,6,-2,4,-1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,
2,-2],[4,2],[4,1,6,-1,7,-1,6,1,4,1,6,1,7,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,
1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,
1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,1],[4,2,7,-2]],[[1,1,2,1],[3,1,1,
-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,2,4,1,6,-1]]],[[[
1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,
-1,4,1,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,
-1,5,-1],[6,1,4,-1,6,2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,
5,-1,2,-1,1,-1,5,-1],[4,2,6,2,4,-1,6,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,
-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,1,4,2,6,1]]],[[[1,1,2,1],[
1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,-2,4,
-2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[
4,1,6,-2,4,2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,
1,-1,5,-1],[4,1,6,1,4,-2,6,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,
1,1,1,5,-1,2,-1,1,-1,5,-1],[6,2,4,1,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,
-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,-1,6,-1,4,-2]]],[[[1,1,2,1],[1,-2,
2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2,6,2,4,-1,6,-1]],[[
1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,
2,4,2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,1,6,2,4,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,
-1,1,-1,5,-1],[6,2,4,1,6,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,
1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,1,6,1,7,1,6,-1,7,-1]],[[1,1,2,1],[3,1,1,-1,
2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,3,6,1,4,-1]]],[[[1,
1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2,6,1,4,1,6,1,4,-1,
6,-2]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,
1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[6,1,4,2,6,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,
-1,1,-1,5,-1],[6,2,4,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,
-1,2,-1,1,-1,5,-1],[4,1,6,-2,4,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[
1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[6,1,4,1,6,1],[8,1,7,1,8,1,7,1]],[[1,1,
2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,1,6,
-1,4,1,6,2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[4,-3]]],[[[1,1,2,1],[3,1,
1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,-1,6,-1,4,2,6,
2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[
6,1,4,2,6,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,
1,-2,2,2],[4,1,6,-1],[7,1,4,-2,7,-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[
2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-1,6,1,4,2]],[[1,1,2,1],[1,-2,2,-1,
3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2,6,1,4,1]]],[[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,-2,
4,-2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[6,1,4,-3,6,-1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,
-2],[4,2],[4,1,6,1,7,1,6,1,7,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,
1,1,5,-1,2,-2],[6,2,4,2,6,1,4,1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,
2,1,1,5,-1,2,-2],[4,2],[4,1,6,1],[7,1,6,1,8,1,7,1,8,-1]],[[1,1,2,1],[3,2,2,3,
3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[4,1,6,1,7,1,6,1,7,1]]],[[[1,1,2,
1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,1,6,
1,7,1,6,-1,7,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,
1,1,-2,2,2],[6,1,4,-2,6,1,4,1,6,-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,
1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,2,6,-1,4,-1,6,-1]],[[1,1,2,1],[3,1,
1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,2,4,1,6,2]]],[[[2,
1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[5,1,6,1],[7,1,6,1,7,
1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,3,5,1,3,-1]],[[2,
1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[5,1,3,-2,5,-2,3,-1]]],[[[1,
1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2,6,1,4,1,6,2,4,-1,
6,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,1,4,
-2,6,1,4,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,
-1,5,-1],[6,1,4,-1,6,1,4,1,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,
1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[
2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,-1,4,2,6,1]],[[1,1,2,1],[1,-2,2,
-1,3,2,2,2,1,-1],[4,-3]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,
-1,2,-1,1,-1,5,-1],[4,1,6,3,4,1,6,-1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,
1,1,-1,4,-2,2,-1],[3,2],[5,1,3,1,6,1,5,-1,6,-1]],[[1,1,2,1],[3,1,2,1,1,-1,3,
-2,2,-1],[4,-1,1,-1,2,-3,1,-1,2,-1]],[[1,1,2,1],[3,1,2,1,1,-1,3,-2,2,-1],[4,2,
2,1,1,1,2,3,1,1,4,-2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,
-1,2,-1,1,-1,5,-1],[6,1,4,1,6,1,4,2,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,
-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,2,4,2]]],[[[1,1,2,1],[3,2,2,3,
3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[7,1,4,1,6,1,7,1,6,1]],[[1,1,2,
1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,-2,6,1,4,1]]],[[[1,
1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2,6,-1,
4,1,6,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[6,2,4,1,6,1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,
-2],[4,2],[7,1,6,1,7,-1,6,1,4,1,6,1,7,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[
5,1,2,2,1,1,5,-1,2,-2],[6,2,4,1,6,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[
2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,2,4,1,6,-1,4,-1]],[[1,1,2,1],[1,-2,2,-1,
3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,2,4,-1,6,1]],[[2,2],[2,1,
1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[
2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-1,4,-3,6,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,
2,1,-1],[4,-3]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,
1,-1,5,-1],[6,2,4,2,6,1,4,1]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[5,
2,4,1,5,-2],[4,1,5,2,4,1,5,-1],[7,2,6,1,7,-1,6,1,7,1]],[[1,1,2,1],[1,-2,3,-1,
2,-1,3,2],[2,1,1,1],[4,1,5,2,4,1,5,-1],[6,-3]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,
2],[2,1,1,1],[5,2,4,1,5,-2],[4,1,5,2,4,1,5,-1],[6,1,7,1],[8,2,6,-1,7,-1]]],[[[
1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,
-1,6,1,4,3]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,
-2,2,2],[4,2,6,-2,4,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,
1,2,1,5,1,1,-2,2,2],[6,1,4,3,6,-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,
2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-3,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,
2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-1,6,-2]]],[[[1,1,2,1],[3,
1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,2,4,-2,6,1,4,1,6,
1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[
4,1,6,1,4,2,6,-1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,
2],[5,1,3,-1,6,-1,5,1,3,1,5,1,6,1]],[[1,1,2,1],[3,1,2,1,1,-1,3,-2,2,-1],[4,-1,
1,-1,2,-3,1,-1,2,-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,
2,1,5,1,1,-2,2,2],[6,1,4,1,6,1,4,-2,6,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,
3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,-1,6,-1,4,1,6,-1]]],[[[1,1,2,1],[3,1,
1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,2,4,1,6,2]],[[1,1,
2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,-1,6,1,4,
-1,6,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,
5,-1],[4,2],[7,-1,6,2,7,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,
1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,1,4,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,
-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,2,4,1,6,-1]]],[[[1,1,2,1],[1,
-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1,4,2,6,1,4,
-1,6,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,1,6,-1,4,-3,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,
-1,2,-1,1,-1,5,-1],[6,1,4,2,6,2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,
2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,1,6,2,7,-1]],[[1,1,2,1],[1,-2,2,-1,
3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-1,6,-1,4,1]],[[1,1,
2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-1],[
7,2,6,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,
-2,2,2],[4,1,6,1],[7,1,4,-2,7,-1,6,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,
1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,-1,6,3]]],[[[1,1,2,1],[1,-2,2,-1,3,
2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,-1,6,1,7,1]],[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,1,
4,1]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[6,1,5,1],[6,1,7,
1,4,-2,7,1],[5,1,4,1],[9,1,5,-1,9,-1,5,-2,4,-1],[10,1,8,-1,10,-1]],[[1,1,2,
1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[6,1,5,1],[6,1,7,1,4,-2,7,1]]],[[[
1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,
-3,6,1,4,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,
-1,5,-1],[4,1,6,2,4,-1,6,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,2]]],[[[
1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,1,4,2,6,1,4,1,
6,-1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,2,4,
-1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,2,4,1,6,-1,
4,2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,2],[7,1,6,-1,4,1,6,2,7,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[
2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,-2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,
-1],[4,-3]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,
5,-1],[4,-3,6,-4]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[6,2,
5,1,6,1,5,2],[5,1,4,-1,5,1,4,-1,5,-3,4,-1],[7,1,8,-2,7,-1]],[[1,1,2,1],[1,-2,
3,-1,2,-1,3,2],[2,1,1,1],[5,1,4,-1,5,1,4,-1,5,-3,4,-1],[6,-2]],[[1,1,2,1],[1,
-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[6,2,5,1,6,1,5,2],[5,1,4,-1,5,1,4,-1,5,
-3,4,-1],[8,1,7,-1,8,-1,7,-1]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,
1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[7,1,8,-1,7,1,8,1]],[[1,1,2,1],[1,-2,3,-1,
2,-1,3,2],[2,1,1,1],[5,1,4,1,5,1],[6,-2]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,
2,1,1,-1,4,-2,2,-1],[3,2],[5,-1,6,1,5,-1,6,1]],[[1,1,2,1],[3,1,2,1,1,-1,3,-2,
2,-1],[2,1,1,1,2,3,1,1,4,-1]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,
1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[7,1,8,2,7,-1]],[[1,1,2,1],[1,-2,3,-1,2,-1,
3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[7,-3]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,
2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[7,1,5,-1,4,-1,5,-1,7,1]],[[1,1,2,1],[1,
-2,3,-1,2,-1,3,2],[2,1,1,1],[5,1,4,1,5,1],[6,-2]]],[[[1,1,2,1],[1,-2,3,-1,2,
-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[7,-1,8,1,7,-1,8,
1]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,
1,5,1,7,1]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,
1],[5,1,4,1,5,1],[8,2,7,-1,8,1]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,
1,5,1],[5,1,6,2,5,1],[7,2,5,-1,4,-1,5,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,
-1,3,-1,4,1,2,-1],[1,1,2,1],[1,-2,2,-2,6,2,2,2,1,1],[7,1,5,1,7,-3,5,-1]],[[1,
1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,-1,4,1,2,-1],[1,1,2,1],[1,-2,2,-2,6,2,2,2,1,
1],[5,-1,7,-1,5,1,7,1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,
-1],[5,1,3,1,5,2,3,1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[
3,1,5,-1,3,1,5,-1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[
3,3,5,-2,3,-1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,1,5,
-1,3,1,5,-1]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[6,2,5,1,
6,1,5,2],[5,1,4,-1,5,1,4,-1,5,-3,4,-1],[7,1,8,1,7,1,8,1]],[[1,1,2,1],[1,-2,3,
-1,2,-1,3,2],[2,1,1,1],[5,1,4,-1,5,1,4,-1,5,-3,4,-1],[6,-2]],[[1,1,2,1],[1,-2,
3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[6,2,5,1,6,1,5,2],[7,-3]]],[[[1,1,2,1],[2,
1,1,1],[2,1,3,1,4,-1,3,-1,4,1,2,-1],[1,1,2,1],[1,-2,2,-2,6,2,2,2,1,1],[5,1,7,
1],[8,2,7,2,8,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,-1,4,1,2,-1],[1,1,2,
1],[1,-2,2,-2,6,2,2,2,1,1],[5,1,7,4,5,-1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1,
4,-1,3,-1,4,1,2,-1]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[6,
2,5,1,6,1,5,2],[5,1,4,-1,5,1,4,-1,5,-3,4,-1],[8,1,7,-1,8,1,7,-1]],[[1,1,2,1],[
1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[6,2,5,1,6,1,5,2],[7,1,5,1,4,-1,5,1,4,
-1,5,-3,4,-1]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[6,2,5,1,
6,1,5,2],[5,1,4,-1,5,1,4,-1,5,-3,4,-1],[7,1,8,1,7,1,8,1]],[[1,1,2,1],[1,-2,3,
-1,2,-1,3,2],[2,1,1,1],[5,1,4,-1,5,1,4,-1,5,-3,4,-1],[6,2]],[[1,1,2,1],[1,-2,
3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[6,2,5,1,6,1,5,2],[7,1,4,1,5,3,4,1,5,-1,4,
1,5,-1,7,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,-1,4,1,2,-1],[1,1,2,1],[1,
-2,2,-2,6,2,2,2,1,1],[5,1,7,-2,5,-1,7,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,
3,-1,4,1,2,-1],[1,1,2,1],[1,-2,2,-2,6,2,2,2,1,1],[5,-1,7,-1,5,1,7,1]]],[[[2,1,
1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,3,5,-3]],[[2,1,1,1,2,3,1,
1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,1,5,-1,3,1,5,-1]],[[2,1,1,1,2,3,1,
1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2,5,2,3,1]]],[[[1,1,2,1],[1,-2,3,-1,
2,-1,3,2],[2,1,1,1],[4,1,5,1],[6,2,5,1,6,1,5,2],[5,1,4,-1,5,1,4,-1,5,-3,4,
-1],[7,-1,8,-2,7,-2]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[6,
2,5,1,6,1,5,2],[7,1,5,1,4,-1,5,1,4,-1,5,-3,4,-1]]],[[[1,1,2,1],[1,-2,3,-1,2,
-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[8,1,7,-1,8,-1]],[[1,
1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[7,1,5,1,4,1,5,
1]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,
1,5,1],[7,-1,8,2]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[5,2,4,1,5,
-2],[4,1,5,2,4,1,5,-1],[7,2,6,1,7,1,6,1,7,-1]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,
2],[2,1,1,1],[5,2,4,1,5,-2]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[5,2,
4,1,5,-2],[4,1,5,2,4,1,5,-1],[7,1,6,-1,7,-2,6,-1]],[[1,1,2,1],[1,-2,3,-1,2,-1,
3,2],[2,1,1,1],[5,2,4,1,5,-2],[4,1,5,2,4,1,5,-1],[6,-1,7,-1,6,1,7,1]]],[[[1,1,
2,1],[2,1,1,1],[2,1,3,1,4,-1,3,-1,4,1,2,-1],[1,1,2,1],[1,-2,2,-2,6,2,2,2,1,
1],[5,1,7,-1],[8,2,5,1,7,1]],[[1,1,2,1],[1,-2,2,-2,3,2,2,2,1,1],[4,2]]],[[[1,
1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[5,2,4,1,5,-2],[4,1,5,2,4,1,5,-1],[6,-1,
7,-1,6,-1,7,-1]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,2,4,1,5,
-1],[6,-3]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,-1,4,1,2,-1],[1,1,2,1],[1,
-2,2,-2,6,2,2,2,1,1],[5,-1,7,-2,5,-1,7,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,
-1,3,-1,4,1,2,-1],[1,1,2,1],[1,-2,2,-2,6,2,2,2,1,1],[5,1,7,4]],[[1,1,2,1],[2,
1,1,1],[2,1,3,1,4,-1,3,-1,4,1,2,-1],[5,-2]]],[[[2,1,1,1],[2,1,3,-1,1,1,2,2,3,
1],[4,3],[1,1,2,1],[2,1,1,1,6,1,2,1,6,1],[7,1,5,1],[5,1,7,1,8,-1,7,-1,8,-1,7,
-2]],[[2,1,1,1],[2,1,3,-1,1,1,2,2,3,1],[4,3],[1,1,2,1],[2,1,1,1,6,1,2,1,6,1],[
7,1,5,1,7,2,5,1,7,1]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,2,4,
1,5,-1],[6,1,5,2,4,1,5,-2,6,-2]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[5,
2,4,1,5,-2],[4,1,5,2,4,1,5,-1],[6,-1,7,-1,6,1,7,1]]],[[[1,1,2,1],[1,-2,3,-1,2,
-1,3,2],[2,1,1,1],[5,2,4,1,5,-2],[4,1,5,2,4,1,5,-1],[6,1,7,2,6,1,7,2]],[[1,1,
2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,2,4,1,5,1,4,-1,5,-2]]],[[[1,1,2,
1],[2,1,1,1],[2,1,3,1,4,-1,3,-1,4,1,2,-1],[1,1,2,1],[1,-2,2,-2,6,2,2,2,1,1],[
5,1,7,1],[8,2,7,1,8,1,5,-1]],[[1,1,2,1],[1,-2,2,-2,3,2,2,2,1,1]]],[[[1,1,2,
1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[4,1,6,1],[7,1,8,-1,
6,-1,7,-1,6,-1,8,-1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,
-2],[4,1,6,1],[6,1,7,-1,6,1,7,1,4,2]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,
2,2,1,1,5,-1,2,-2],[6,1,4,-1,6,2,4,1,6,-1]],[[1,1,2,1],[3,1,2,2,1,1,3,-1,2,
-2],[4,-4]]],[[[2,1,1,1],[2,1,3,-1,1,1,2,2,3,1],[4,3],[1,1,2,1],[2,1,1,1,6,1,
2,1,6,1],[5,1,7,1],[7,1,5,1,8,-2,7,2]],[[2,1,1,1],[2,1,3,-1,1,1,2,2,3,1],[4,
3],[1,1,2,1],[2,1,1,1,6,1,2,1,6,1],[5,1,7,-2,5,1,7,2,5,1]]],[[[1,1,2,1],[1,-2,
2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2,6,1,4,2,6,1]],[[1,
1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,-1,6,2,
4,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,
2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,-2,4,-1,6,-1]],[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[6,1,7,
-1,6,1,7,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,
-1,5,-1],[4,1,6,-2,4,-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[
5,1,2,1,5,1,1,-2,2,2],[4,2],[7,1,6,1,7,1,4,1,6,2]],[[1,1,2,1],[3,1,1,-1,2,-1,
3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,1],[6,1,7,-1,6,1,7,1]],[[
1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,2,4,
-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,
2],[4,1,6,1],[6,1,7,-1,6,1,7,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,
2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2,6,3]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,
1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,2,4,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,
2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,-3,6,-1]]],[[[1,1,2,1],[1,-2,
2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[6,1,7,-1,6,1,7,
-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[
4,2,6,1,4,-1,6,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,2]],[[1,1,2,1],[1,
-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,-1,6,-1,4,
1,6,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,
2,2],[6,1,4,-3,6,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,
1,5,1,1,-2,2,2],[6,2,4,2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[
5,1,2,1,5,1,1,-2,2,2],[4,2,6,1,4,1,6,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,
1],[4,3]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,
5,-1],[4,2],[7,-1,6,-1,4,1,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,
1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2,6,1,4,-1,6,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,
1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1,4,1]],[[1,1,2,1],[1,-2,2,
-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,1,6,-1,7,1,6,
1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,
2],[4,2],[6,-1,7,1,6,2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,
1,2,1,5,1,1,-2,2,2],[6,2,4,2]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,
2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2,6,-1,4,1,6,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,
2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,2,6,1,4,-1]]],[[[1,1,2,1],[3,
1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,1,4,-2,6,1,4,
1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[
6,1,4,-1,6,1,4,-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,
1,5,1,1,-2,2,2],[6,1,4,-1,6,-1,4,2,6,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,
1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,2,4,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,
2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,1],[6,1,7,-1,6,1,7,1]],[[1,1,
2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,2,6,
-1,4,-1,6,-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,
1,-1,5,-1],[6,1,4,-1,6,2,4,1,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[
2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,1,6,-1,7,-1]],[[2,2],[2,1,1,1,3,-1,2,-1,
1,-1,3,-1],[4,-2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,
-1,1,-1,5,-1],[6,1,4,1,6,2,4,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[
2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2,6,-1,4,-1,6,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,
2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,2,4,-1]],[[1,1,2,1],[1,
-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,-1,6,2,4,1]],[[1,
1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2,6,1,
4,-1,6,-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,
-2,2,2],[6,2,4,1,6,1,4,1,6,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,
1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,-1],[7,1,4,2,7,1]],[[1,1,2,1],[3,1,1,-1,2,-1,
3,1,2,1,3,1],[4,-3]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,
1,5,1,1,-2,2,2],[4,2],[7,1,6,1,7,-1,6,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,
3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,1,4,-2,6,1,4,1]],[[1,1,2,1],[3,1,
1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,-1,6,2]],[[1,1,2,
1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[4,-3]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,
1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[6,-1,7,1,4,1,6,1]]],[[[1,1,2,1],[1,
-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-1,6,1,4,
2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[
4,1,6,2,4,-1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,2]],[[1,1,2,1],[1,-2,2,
-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-1,6,-1,4,2]]],[[[
1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,4,4,
1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[
6,2,4,2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,
2,2],[6,1,4,3,6,-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,
2,1,5,1,1,-2,2,2],[4,2,6,3]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[4,-3]],[[
1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,
3,6,-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,
2,2],[4,2],[7,1,6,-1,4,1,6,-1,7,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,
1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,-1,4,-1,6,1]],[[1,1,2,1],[3,1,1,-1,2,-1,
3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[6,1,7,1],[7,1,8,-2]]],[[[
1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,
-3,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,1,6,-1],[7,2,6,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,
5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,1,4,-2]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,
1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[7,2,6,1,7,1,6,-1]],[[1,1,2,1],[3,2,2,3,3,
1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,-2]],[[1,1,2,1],[3,2,2,3,3,1],[1,
1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[4,1,6,1,7,1,6,-1,7,-1]]],[[[1,1,2,1],[3,
1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[6,-1,7,1,6,
2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[
4,2,6,-2,4,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,
1,-2,2,2],[6,1,4,-3,6,-1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,
5,-1,2,-2],[4,2],[7,2,6,1,7,-1,6,-1,4,-1,6,-1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,
2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[7,1,6,1,4,1,6,1,7,1]],[[1,1,2,1],[3,2,2,3,
3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,-1,6,-1,4,1,6,-1,4,2]]],[[[1,1,
2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,2,4,-2,6,
1,4,1,6,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,
-2,2,2],[4,-1,6,1,4,-1,6,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,
1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,-1,6,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,
1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,3,6,1,4,-1]]],[[[1,1,2,1],[3,1,1,
-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[4,1,6,1,7,1,4,1,
6,-1,7,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,
2,2],[4,2],[7,1,6,-1,7,1,6,-1,4,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[
1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,-2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,
3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[6,1,4,-1,7,-1,6,1,7,1]]],[[[1,1,
2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,1,
6,-1,7,1,6,-1,4,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,
1,5,1,1,-2,2,2],[4,1,6,3,4,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,
1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,1],[4,2,7,-2]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,
1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,1,6,-1,7,1,6,-1,4,-1]],[[
1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,2,4,
2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[
4,1,6,1],[4,2,7,-2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,
1,5,1,1,-2,2,2],[6,1,4,3,6,1,4,-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,
2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,1,6,2,7,-1]],[[1,1,2,1],[1,-2,2,-1,
3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,2]],[[1,1,2,1],[1,-2,
2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-1,6,2,4,1,6,
1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[
4,1,6,2,4,-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,
1,1,-2,2,2],[4,2],[4,1,6,1,7,-1,6,1,7,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,
3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2,6,2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,
1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[6,-1,7,1,4,1,6,1]],[[1,1,2,
1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,1],[4,
2,7,-2]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,
2,2],[4,2],[7,1,4,1,6,2,7,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,
1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[6,-1,7,1,6,2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,
2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,2,4,-1]]],[[[1,1,2,1],[1,-2,2,-1,
3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-2,4,-1]],[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,2]],[[
1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,-1,6,
2,4,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,
2,2],[4,2],[6,-1,7,1,6,2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[4,-3]],[[1,
1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[6,
-1,4,-1,6,-1,7,-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,
1,5,1,1,-2,2,2],[4,1,6,1],[7,1,4,-2,6,-1,7,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,
2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2,6,-3,4,-1]],[[1,1,2,1],[3,1,1,
-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,2,4,1,6,2]]],[[[1,1,
2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,1],[
7,1,6,1,4,2,7,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,
5,1,1,-2,2,2],[4,-1,6,2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,
1,2,1,5,1,1,-2,2,2],[6,2,4,2]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,
1,1,5,-1,2,-2],[4,1,6,1,4,-2,6,1,4,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,
1,2,2,1,1,5,-1,2,-2],[6,1,4,-2,6,1,4,-1,6,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,
1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,1],[6,1,7,1,6,1,7,1]]],[[[1,1,2,1],[3,1,1,
-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,1,6,2,7,1,4,1,
6,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,
2],[6,2,4,2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,
1,-1,5,-1],[6,2,4,1,6,-1,4,-3]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,2]],[[
1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2,6,
3,4,-1,6,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,
-1,5,-1],[4,1,6,1,4,2,6,1,4,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,
2,1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,-1],[7,2,4,2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,
1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2,6,-1,4,1,6,-1]],[[1,1,2,1],[
3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,3,6,1,4,
-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[
4,2,6,1,4,2,6,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,
5,1,1,-2,2,2],[4,2],[6,-1,7,1,6,-1,7,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,
1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,4,4,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,
2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,3,6,-1]]],[[[1,1,2,1],[1,-2,
2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2],[7,-1,6,1,4,1,6,
1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]],[[1,1,2,1],[1,-2,2,-1,3,2,2,
2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2,6,1,4,-1,6,-1]],[[1,1,2,1],[
1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-1],[7,2,6,
-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[
6,1,4,-3,6,-1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[
4,1,6,1,4,-2,6,1,4,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,
-2],[4,-2,6,-2,4,-1,6,-1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,
-1,2,-2],[6,1,4,1],[6,1,7,1,6,1,7,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,
2,2,1,1,5,-1,2,-2],[6,1,4,2,6,1,4,1,6,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,
3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[6,-1,7,1,4,1,6,1]],[[1,1,2,1],[3,
1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,1,4,-2,6,1,4,
1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[4,3]],[[1,1,2,1],[3,1,1,-1,2,-1,3,
1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,1],[7,2,4,-2]],[[1,1,2,1],[
3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,3,6,
-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,
2],[4,1,6,1,4,-2,6,1,4,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[
5,1,2,1,5,1,1,-2,2,2],[4,2,6,-1,4,1,6,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,
3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,-3,6,-1]]],[[[1,1,2,1],[3,1,1,-1,
2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,2,6,-1,7,1,6,1,4,
1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[
6,2,4,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,
2,2],[4,2,6,-1,4,1,6,-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[
5,1,2,1,5,1,1,-2,2,2],[4,2,6,-1,4,-2,6,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,
3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,-2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,
1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2,6,1,4,2,6,1]]],[[[1,1,2,1],[
1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-1,6,1,4,
2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[
4,1,6,1,4,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,
-1,5,-1],[4,-1,6,2,4,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[
5,1,2,1,5,1,1,-2,2,2],[6,1,4,-2,6,1,4,1,6,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,
2,1,3,1],[4,-3]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,
1,1,-2,2,2],[4,2],[7,1,6,1,7,-1,6,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[
2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-2,6,1,4,1]],[[1,1,2,1],[1,-2,2,-1,
3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-1,6,-1,4,1,6,1]],[[
1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,
2,4,-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,
2,2],[6,3,4,1,6,1,4,-2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,
1,2,1,5,1,1,-2,2,2],[6,2,4,2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,
1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,1,4,-2,6,1,4,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,
1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,-3,6,-1]]],[[[1,1,2,1],[3,
1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,2,6,-1,4,-1,
6,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[4,-3]],[[1,1,2,1],[3,1,1,-1,2,
-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,2,4,1,6,1,4,1,6,1]]],[[[1,
1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,
1,6,1,7,-1,6,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,
1,1,-2,2,2],[6,1,4,2,6,-1,4,-1,6,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[
1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,1],[6,1,7,-1,6,1,7,1]]],[[[1,1,2,1],[1,
-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-1,6,2,4,1,6,
-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[
4,1,6,1,4,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,
-1,5,-1],[4,1,6,-1],[7,2,6,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,
1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,-1,4,-2]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,
1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[4,1,6,-1,7,1,6,-1,7,-2]],[[1,1,2,1],[3,
2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,1,6,1,4,1]]],[[[1,1,2,1],[
3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[7,1,6,2,7,1,6,1,7,
-1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,2,6,2,
4,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,-1,4,1,2,-1],[1,1,2,1],[1,-2,2,
-2,6,2,2,2,1,1],[5,1,7,3,5,-1,7,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,-1,4,
1,2,-1],[1,1,2,1],[1,-2,2,-2,6,2,2,2,1,1],[5,1,7,1],[8,1,5,1,7,1,8,1]],[[1,1,
2,1],[1,-2,2,-2,3,2,2,2,1,1],[4,5]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,
2,2,1,1,5,-1,2,-2],[4,2],[7,1,6,-1,4,-1,6,-1,7,-1,6,-1,7,-1]],[[1,1,2,1],[3,2,
2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[7,2,6,2,4,1]],[[1,1,2,1],[3,
2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,-1,4,2,6,1,4,-1,6,
-1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[6,1,
4,1,7,1,6,1,7,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[
6,1,4,1],[7,1,6,-1,4,2,7,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,
1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-1],[7,1,6,-1,7,1]],[[1,1,2,1],[1,-2,2,-1,3,2,
2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1,4,-2]],[[1,1,2,1],[1,
-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,2,4,-1,6,1]]],[[[
1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,
1],[4,2,7,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,
-1,5,-1],[6,1,4,2,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,
-1,2,-1,1,-1,5,-1],[4,1,6,-1],[7,1,6,-1,7,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,
1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,-1,4,1,6,-1]],[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1],[4,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[
2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1,4,1,6,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,
-1,3,-1],[4,-4]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,
-1,1,-1,5,-1],[6,2,4,-3,6,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,
1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,2,4,1,6,-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,
1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2,6,1,4,1,6,-1]],[[1,1,2,1],[1,
-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,2,4,-1,6,1]]],[[[
1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[7,1,6,1,7,-1,
6,1,4,1,6,1,7,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[
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1,2,1],[1,-2,2,-2,6,2,2,2,1,1],[5,1,7,1],[7,1,8,2,5,-1,7,-1,8,-1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1,4,-1,3,-1,4,1,2,-1],[1,1,2,1],[1,-2,2,-2,6,2,2,2,1,1],[
5,1,7,1,5,1,7,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,-1,4,1,2,-1],[1,1,2,
1],[1,-2,2,-2,6,2,2,2,1,1],[7,2,5,1,7,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,
3,-1,4,1,2,-1],[1,1,2,1],[1,-2,2,-2,6,2,2,2,1,1],[5,1,7,1]]],[[[1,1,2,1],[1,
-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-1],[7,1,6,
-1,7,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,2,6,1,4,1,6,-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,
5,-1,2,-1,1,-1,5,-1],[6,1,4,2,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,
2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,2,4,-1,6,1]]],[[[1,1,2,1],[3,2,2,3,3,1],[
1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[7,1,6,-1,4,-1,7,1,6,1,4,1]],[[1,1,2,
1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,1,6,1,4,-2,6,2,4,
-1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,1],[4,
2,7,-1,6,-1,7,1,6,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,-1,4,1,2,-1],[1,
1,2,1],[1,-2,2,-2,6,2,2,2,1,1],[5,1,7,1],[8,1,5,-1,7,1,8,1]],[[1,1,2,1],[2,1,
1,1],[2,1,3,1,4,-1,3,-1,4,1,2,-1],[1,1,2,1],[1,-2,2,-2,6,2,2,2,1,1],[7,1,5,1,
7,2,5,1]],[[1,1,2,1],[1,-2,2,-2,3,2,2,2,1,1],[4,5]]],[[[1,1,2,1],[3,2,2,3,3,
1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[7,1,4,1,6,1,7,1,6,1]],[[1,1,2,1],[
3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,1,6,1,4,-2,6,2]]],[[[1,
1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[4,1,6,-1,7,-1,6,
-1,7,-2]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,
1],[6,1,7,1,6,1,7,1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,
2,-2],[4,2],[4,1,6,-1,7,-1,6,-1,7,-1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,
1,2,2,1,1,5,-1,2,-2],[6,2,4,-1,6,1,4,-1,6,1]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,
2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[8,2,7,1]],[[1,1,2,1],[1,
-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[7,1,5,1,4,1,5,1]]],[[[1,
1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[7,-3]],[[1,1,2,
1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[8,1,
7,1,8,-1]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[
7,-1,5,1,4,1,5,1,7,-1]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,
1],[5,1,6,2,5,1],[7,1,5,-1,4,-1,5,-1,7,-2]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[
2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[7,1,5,1,4,1,5,1]]],[[[1,1,2,1],[1,-2,3,-1,2,
-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[7,2,8,2]],[[1,1,2,
1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[7,1,5,-1,4,-1,5,-1,
7,1]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,
1,4,1,5,1],[8,1,7,-1,8,1,7,1]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,
5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[7,-1,8,2]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[
2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[7,1,5,1,4,1,5,1]]],[[[1,1,2,1],[1,-2,3,-1,2,
-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[7,2],[8,-1,5,1,4,1,5,1]],[[1,1,2,
1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1],[7,-1,
8,2]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[6,2,5,1,6,1,5,
2],[5,1,4,-1,5,1,4,-1,5,-3,4,-1,7,1]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,
1],[4,1,5,1],[6,2,5,1,6,1,5,2],[7,1,5,1,4,-1,5,1,4,-1,5,-3,4,-1]]],[[[2,1,1,1,
2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,1,5,-2,3,2,5,1,3,1]],[[2,1,1,1,
2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[5,1,3,-2,5,-1]]],[[[2,1,1,1,2,3,
1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[5,-1,3,1,5,2]],[[2,1,1,1,2,3,1,
1],[3,-4]]],[[[1,1,2,1],[3,1,2,1,1,-1,3,-2,2,-1],[4,2,2,1,1,1,2,3,1,1,4,
-2]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[5,1,3,-2,5,
-1]]],[[[1,1,2,1],[1,-2,3,-1,2,-1],[4,1,1,-1,2,-1,3,-1,4,-1],[1,1,2,1],[2,1,1,
1],[2,1,7,1,6,1,7,-1,6,-2,2,-1],[5,1,8,-2,5,1]],[[1,1,2,1],[1,-2,3,-1,2,-1],[
4,1,1,-1,2,-1,3,-1,4,-1],[1,1,2,1],[2,1,1,1],[2,1,7,1,6,1,7,-1,6,-2,2,-1],[5,
1,8,2]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,
2,2],[4,1,6,1,4,3,6,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,
1,2,1,5,1,1,-2,2,2],[6,1,4,1,6,2,4,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,
1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,1],[7,2,4,2]],[[1,1,2,1],[3,1,1,-1,
2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,2,6,-1]]],[[[2,1,1,
1],[2,1,3,-1,1,1,2,2,3,1],[4,3],[1,1,2,1],[2,1,1,1,6,1,2,1,6,1],[5,1,7,1],[5,
1,7,-2],[9,1,8,1,9,1,8,1]],[[2,1,1,1],[2,1,3,-1,1,1,2,2,3,1],[4,3],[1,1,2,1],[
2,1,1,1,6,1,2,1,6,1],[7,2,5,1,7,1,5,1,7,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1,
4,-1,3,-1,4,1,2,-1],[1,1,2,1],[1,-2,2,-2,6,2,2,2,1,1],[5,1,7,1],[8,1,5,1,8,-1,
7,-1,8,-1]],[[1,1,2,1],[1,-2,2,-2,3,2,2,2,1,1],[4,2]]],[[[1,1,2,1],[3,2,2,3,3,
1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[7,1,4,1,6,1,7,1,6,-2]],[[1,1,2,
1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,1],[7,2,4,2]]],[[[1,
1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-1,
6,-1,4,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,
5,-1],[4,1,6,1,4,1,6,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,
5,-1,2,-1,1,-1,5,-1],[4,2],[6,-1,7,1,6,-1,7,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,
1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,2,4,1]],[[1,1,2,1],[1,-2,2,
-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1],[7,1,4,1,6,1,7,
1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,-1,6,1,4,-1,6,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,
5,-1,2,-1,1,-1,5,-1],[4,1,6,-1,4,1,6,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,
-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1,4,1,6,1]]],[[[1,1,2,1],[1,-2,
2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-1,6,-2,4,1,6,
-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[
4,1,6,1,4,-1,6,-1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-2]]],[[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,2,6,1,
4,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,1,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,
-1,5,-1],[6,3,4,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,
2,-1,1,-1,5,-1],[6,1,4,1,6,1,4,-2]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,
2,2,1,1,5,-1,2,-2],[4,1,6,1,4,2,6,1,4,1,6,-1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,
2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,1,6,1],[7,1,4,2,7,1]],[[1,1,2,1],[3,1,2,2,
1,1,3,-1,2,-2],[4,-4]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[
6,2,5,3,4,1],[7,3]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[4,-2,
5,-1,4,1,5,-2,6,-2],[4,1,5,1],[8,2,5,3,4,1],[9,1,7,1]]],[[[1,1,2,1],[1,-2,2,
-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1,4,-3]],[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1],[7,
1,6,1,7,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,2]]],[[[1,1,2,1],[1,-2,2,
-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-2,4,1]],[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,-1,4,
2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[6,1,4,1,6,2,4,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[4,2]],[[2,2],[2,1,
1,1,3,-1,2,-1,1,-1,3,-1],[4,2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[
2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,1,4,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,
1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,2,4,-1,6,1]]],[[[1,1,2,1],[1,-2,
3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[6,1,5,1],[6,1,7,1,4,-2,7,1],[8,2]],[[1,1,
2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[5,1,4,1],[6,1,5,-1,6,-1,5,-2,4,-1]]],[[[
1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,
-3,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,-1,6,1,4,-1,6,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]],[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,2,4,
2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,1,6,-1,4,1,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,
-1,2,-1,1,-1,5,-1],[6,2,4,1,6,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[4,
-3]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[6,1,4,-1,6,1,4,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,
-1,2,-1,1,-1,5,-1],[4,2,6,1,4,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[
2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-2,4,2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,
1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-3,6,-1]],[[1,1,2,1],[1,-2,2,
-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,2,4,2]],[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,-1,6,-1,4,
-2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,1,6,-1,4,-2,6,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,
5,-1,2,-1,1,-1,5,-1],[4,1,6,-1,4,1,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[
2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-1,6,-2]]],[[[1,1,2,1],[3,1,1,-1,2,
-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,1,6,-1,4,-2]],[[1,1,2,
1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,2,4,
1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,
2],[6,2,4,3,6,-2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,
5,1,1,-2,2,2],[6,1,4,-1,6,-1,4,1,6,1,4,-2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,
3,1],[4,3]]],[[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]],[[1,1,2,1],[1,-2,2,
-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1]],[[1,1,2,1],[1,
-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,-1,6,1,4,-1,6,
1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,1,6,-1,4,-1,6,1,4,-1,6,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[4,
2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[6,1,4,2,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1]]],[[[1,1,2,1],[1,-2,2,
-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,2,4,-2]],[[1,1,2,1],[
1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,
1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,1,6,-1,4,1,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,
-1,2,-1,1,-1,5,-1],[6,1,4,-1,6,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[4,
-3]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,2,6,-1,4,1,6,-2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,
-1,2,-1,1,-1,5,-1],[4,1,6,-2,4,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[
2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-1,6,1,4,2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,
2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-3]],[[1,1,2,1],[1,-2,2,
-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,2]],[[1,1,2,1],[1,
-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1]]],[[[1,1,
2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[6,1,
4,-1,7,-1,6,1,7,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,
5,1,1,-2,2,2],[6,1,4,1,6,1],[7,2,4,2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,
1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,2,4,-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,
1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2,6,1,4,-1,6,-1,4,-1]],[[1,1,2,
1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,1,6,1,
4,-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,-1,6,1,4,-2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,
2,-1,1,-1,5,-1],[6,1,4,2]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]]],[[[1,
1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,1,
6,-1,4,1,6,2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,
1,-2,2,2],[6,1,4,2,6,1,4,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[4,
-3]]],[[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]],[[1,1,2,1],[1,-2,2,-1,3,2,
2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2,6,1]],[[1,1,2,1],[1,-2,2,
-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,-1,6,2,4,-1]]],[[[1,1,
2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,2,4,1,6,
2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[
6,1,4,2,6,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,
1,-2,2,2],[6,1,4,1,6,1,4,-1]]],[[[2,1,1,1],[2,1,3,-1,1,1,2,2,3,1],[4,3],[1,1,
2,1],[2,1,1,1,6,1,2,1,6,1],[5,1,7,1],[7,2],[8,1,9,1,8,1,9,1]],[[2,1,1,1],[2,1,
3,-1,1,1,2,2,3,1],[4,3],[1,1,2,1],[2,1,1,1,6,1,2,1,6,1],[7,3,5,1,7,-1,5,
1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[4,1,6,
1,7,1,6,1,7,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,
1,4,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,
2,2],[6,1,4,-1,6,-2,4,-1,6,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,
1],[5,1,2,1,5,1,1,-2,2,2],[6,2,4,2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,
2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-2,4,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,
2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,-1,6,1,4,-2]],[[2,2],[2,1,1,1,
3,-1,2,-1,1,-1,3,-1],[4,-4]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,
1,5,-1,2,-2],[4,2,6,2,4,1,6,-1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,
1,1,5,-1,2,-2],[6,1,4,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[
5,1,2,1,5,1,1,-2,2,2],[6,1,4,-2,6,1,4,1,6,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,
2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,1,6,-3]]],[[[1,1,2,1],[3,1,1,
-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2,6,-2,4,-1]],[[1,1,
2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,-1,6,
1,4,2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,
2],[6,1,4,1,6,1,4,-1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,
2,-2],[6,1,4,-1,6,1,4,2,6,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,
5,-1,2,-2],[6,1,4,-2,6,1,4,-1,6,1]],[[1,1,2,1],[3,1,2,2,1,1,3,-1,2,-2],[4,
-4]]],[[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]],[[1,1,2,1],[1,-2,2,-1,3,2,
2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,-1,6,1,4,-1,6,1]],[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,
2]]],[[[1,1,2,1],[3,1,2,1,1,-1,3,-2,2,-1],[2,1,1,1,2,3,1,1,4,1],[4,1,5,2,4,
1]],[[1,1,2,1],[3,1,2,1,1,-1,3,-2,2,-1],[2,1,1,1,2,3,1,1,4,1]],[[2,1,1,1,2,3,
1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,-1,5,1,3,3]]],[[[1,1,2,1],[3,2,2,3,
3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,-1,4,2,6,1,4,-1,6,-1]],[[1,1,2,
1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,2,6,-1,4,-1,6,
-1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,1],[6,
1,7,1,6,1,7,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,
-1,1,-1,5,-1],[6,1,4,-3,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,
1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-1,6,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[
2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-1,4,1,6,1]]],[[[1,1,2,1],[3,2,2,3,
3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,1,6,1],[4,2,7,2]],[[1,1,2,1],[3,
2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,2]]],[[[1,1,2,1],[1,-2,2,
-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-1,4,-1,6,-2]],[[
1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,2,4,
-2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[
6,1,4,-1,6,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,
1,1,-2,2,2],[6,3,4,1,6,1,4,-2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,
1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,-2,6,1,4,-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,
1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,1],[7,2,4,-2]],[[1,1,2,1],[
3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,-1,6,-2,4,
-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[
4,-1,6,2]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,
-2,2,2],[4,1,6,-1,4,1,6,1,4,2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,
1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,2,4,-2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,
1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,3,6,-1]]],[[[1,1,2,1],[3,2,2,3,3,
1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,2,4,2,6,-2,4,-1]],[[1,1,2,1],[3,2,2,3,
3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,-2,6,1,4,-1,6,1]],[[1,1,2,1],[3,
1,2,2,1,1,3,-1,2,-2],[4,-4]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,
-2,2,-1],[3,2],[6,1,5,1,6,-2,5,-1,6,-1]],[[1,1,2,1],[3,1,2,1,1,-1,3,-2,2,-1],[
2,1,1,1,2,3,1,1,4,1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[
3,2],[6,1,5,-2,6,-1,5,1,6,-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,
2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,-1,6,-2,4,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,
1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2,6,-1,4,1,6,-1]]],[[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-1],[7,
1,6,-1,7,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,
-1,5,-1],[6,1,4,1,6,1,4,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-2]]],[[[
1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,2,4,
1,6,-1,4,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,
-1,5,-1],[6,1,4,2,6,-2]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]]],[[[1,1,
2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-1],[
7,2,6,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,2]],[[1,1,2,1],[1,-2,2,-1,3,
2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-1,6,-1,4,1]]],[[[1,1,
2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[6,-1,
7,1,6,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,
2,2],[6,2,4,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,-1,4,1,2,-1],[1,1,2,
1],[1,-2,2,-2,6,2,2,2,1,1],[5,1,7,1],[8,1,7,1],[8,1,9,1,8,1,9,1]],[[1,1,2,1],[
2,1,1,1],[2,1,3,1,4,-1,3,-1,4,1,2,-1],[1,1,2,1],[1,-2,2,-2,6,2,2,2,1,1],[7,
2],[5,1,7,1,8,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,-1,4,1,2,-1],[1,1,2,
1],[1,-2,2,-2,6,2,2,2,1,1],[5,1,7,1],[8,2,7,2,8,2]],[[1,1,2,1],[2,1,1,1],[2,1,
3,1,4,-1,3,-1,4,1,2,-1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,
-1],[3,2],[6,-2,3,1,5,2]],[[1,1,2,1],[3,1,2,1,1,-1,3,-2,2,-1],[2,1,1,1,2,3,1,
1,4,-1]],[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[5,-1,6,
1,5,-1,6,1]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[6,2,5,1,6,
1,5,2],[7,1,5,1,4,-1,5,1,4,-1,5,-3,4,-1,7,1]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,
2],[2,1,1,1],[4,1,5,1],[6,2,5,1,6,1,5,2],[7,-3]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,
2],[2,1,1,1],[4,1,5,3,4,1,5,-1,4,1,5,-1]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[
2,1,1,1],[4,1,5,1],[6,2,5,1,6,1,5,2],[7,-1,5,1,4,-1,5,1,4,-1,5,-3,4,-1,7,
1]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[6,2,5,1,6,1,5,2],[7,
1,5,1,4,-1,5,1,4,-1,5,-3,4,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,-1,4,1,
2,-1],[1,1,2,1],[1,-2,2,-2,6,2,2,2,1,1],[5,1,7,1],[5,1,7,-1,8,-2]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1,4,-1,3,-1,4,1,2,-1],[1,1,2,1],[1,-2,2,-2,6,2,2,2,1,1],[
7,1,5,1,7,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,-1,4,1,2,-1],[1,1,2,1],[1,
-2,2,-2,6,2,2,2,1,1],[7,3,5,1,7,-1]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,
1],[4,1,5,1],[5,1,6,2,5,1],[7,1,5,1,4,1,5,1,7,-1]],[[1,1,2,1],[1,-2,3,-1,2,-1,
3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[7,-3]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,
2],[2,1,1,1],[4,1,5,1],[6,2,5,1,6,1,5,2],[7,-3,4,1,5,3,4,1,5,-1,4,1,5,-1]],[[
1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[6,2,5,1,6,1,5,2],[7,-1,5,1,
4,-1,5,1,4,-1,5,-3,4,-1,7,-1]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[5,1,
4,-1,5,1,4,-1,5,-3,4,-1],[6,2]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,
4,-2,2,-1],[3,2,5,2,3,1]],[[1,1,2,1],[3,1,2,1,1,-1,3,-2,2,-1],[2,1,1,1,2,3,1,
1,4,-1]]],[[[2,1,1,1,2,3,1,1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[5,1,3,2,5,
-2,3,-1]],[[1,1,2,1],[3,1,2,1,1,-1,3,-2,2,-1],[2,1,1,1,2,3,1,1,4,-1]]],[[[1,1,
2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[7,-1,5,1,4,1,5,1,
7,-1]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[5,1,4,1,5,1]]],[[[1,1,2,1],[
1,-2,3,-1,2,-1,3,2],[2,1,1,1],[5,1,4,1,5,1],[6,2]],[[1,1,2,1],[1,-2,3,-1,2,-1,
3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1,7,1]]],[[[1,1,2,1],[2,1,1,
1],[2,1,3,1,4,-1,3,-1,4,1,2,-1],[1,1,2,1],[1,-2,2,-2,6,2,2,2,1,1],[7,1,5,-1,7,
-3]],[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,-1,4,1,2,-1]]],[[[1,1,2,1],[2,1,1,
1],[2,1,3,1,4,-1,3,-1,4,1,2,-1],[1,1,2,1],[1,-2,2,-2,6,2,2,2,1,1],[7,1,5,-1,7,
2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,-1,4,1,2,-1]]],[[[2,1,1,1,2,3,1,1],[
1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2],[5,-1,6,1,5,-1,6,1]],[[2,1,1,1,2,3,1,
1],[1,1,2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2,5,2,3,1]],[[2,1,1,1,2,3,1,1],[1,1,
2,1],[4,1,2,1,1,-1,4,-2,2,-1],[3,2,5,1,3,1,5,2]]],[[[1,1,2,1],[3,2,2,3,3,1],[
1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,-1,6,-1,4,1,6,1,4,-2]],[[1,1,2,1],[3,
2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,1,6,-1,4,2,6,1]],[[1,1,2,
1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,-1,4,-2,6,-1]]],[[[
1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,2,4,1,5,-1],[5,2,4,1,5,-2,6,
2]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,2,4,1,5,1,4,1,5,-2]]],[[[
1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,2,4,1,5,-1],[6,2,5,2,4,-1,5,-2,
6,-1]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[5,2,4,1,5,-2]]],[[[1,1,2,
1],[1,-2,3,-1,2,-1],[4,1,1,-1,2,-1,3,-1,4,-1],[1,1,2,1],[2,1,1,1],[2,1,7,1,6,
1,7,-1,6,-2,2,-1],[8,1,5,2,8,-1]],[[1,1,2,1],[1,-2,3,-1,2,-1],[4,1,1,-1,2,-1,
3,-1,4,-1],[5,2]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,
5,1,1,-2,2,2],[4,1,6,1,4,-2,6,1,4,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[
1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,2,4,2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,
3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,2,4,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,
1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,3,6,-1]],[[1,1,2,1],[3,1,1,
-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,1],[4,2,7,
-2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,1,6,1],[7,1,4,1,6,1,7,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,
2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[
4,-1,6,2,4,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,
-1,5,-1],[4,1,6,-2,4,-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,
1,5,-1,2,-1,1,-1,5,-1],[4,2,6,1,4,-1,6,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,
-1],[4,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,
5,-1],[4,2,6,-1,4,-1,6,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,
1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-1,6,-1,4,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,
-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-2,4,-1]]],[[[1,1,2,1],[1,-2,2,
-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,1,4,-2]],[[1,
1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,-1,6,1,
4,-1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,2]],[[1,1,2,1],[1,-2,2,-1,3,2,
2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-3,6,1]]],[[[1,1,2,1],[1,
-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-1,6,-1,4,
2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[
4,1,6,1,4,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-2]]],[[[1,1,2,1],[1,-2,
2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1],[6,1,7,2]],[[
1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2,6,
1,4,-1,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,
-1,5,-1],[4,-1,6,2,4,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,
-1,2,-1,1,-1,5,-1],[6,2,4,-1,6,-1,4,-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,
-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-2,4,-1]],[[1,1,2,1],[1,-2,2,
-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,-1,4,2]],[[2,2],[2,1,
1,1,3,-1,2,-1,1,-1,3,-1],[4,-2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,
1,1,1,5,-1,2,-1,1,-1,5,-1],[4,-1,6,2,4,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,
-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2,6,1,4,-1,6,-1]],[[2,2],[2,1,1,1,
3,-1,2,-1,1,-1,3,-1],[4,-2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,
1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1,4,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,
1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,2,4,2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,
2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,-1,6,1,4,-1,6,-1]],[[1,1,2,1],[3,
1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,-1,6,1]]],[[[
1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,
2,6,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,
2],[4,1,6,-1,4,-1,6,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[4,3]]],[[[1,1,
2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2,6,1,4,
-1,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,-1,6,1,4,-1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,2]]],[[[1,1,2,
1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,1,6,
-1,7,1,6,-1,4,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,
5,1,1,-2,2,2],[4,2,6,2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,
1,2,1,5,1,1,-2,2,2],[6,2,4,2]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,
1,1,5,-1,2,-2],[6,1,4,-2,6,1,4,-1,6,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,
1,2,2,1,1,5,-1,2,-2],[4,2],[6,-1,7,1,6,-1,7,-1]],[[1,1,2,1],[3,2,2,3,3,1],[1,
1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,2,4,-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,
1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,1,4,-2,6,1,4,1]],[[1,1,2,1],[3,
1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,2,4,1,6,2]],[[1,
1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[4,-3]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,
1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2],[7,1,6,-1,7,1,6,-1,4,-1]],[[1,1,
2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2,6,
2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[
6,2,4,-1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,
2],[6,-1,4,1,6,1,7,-1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,
2,-2],[6,2,4,-1,6,-2,4,-1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,
-1,2,-2],[6,1,4,1,6,1,4,1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,
5,-1,2,-2],[6,1,4,-1,6,-1,4,2,6,-2]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,
2,2,1,1,5,-1,2,-2],[4,2,6,1,4,2,6,1]],[[1,1,2,1],[3,1,2,2,1,1,3,-1,2,-2],[4,
-4]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[4,1,
6,-1,7,1,6,-1,7,-2]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,
-2],[6,1,4,1,6,1,4,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,
-2],[4,2],[7,1,4,1,6,1,7,1,6,1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,
2,1,1,5,-1,2,-2],[6,1,4,-1,6,1,4,2,6,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[
5,1,2,2,1,1,5,-1,2,-2],[6,1,4,1,6,1,4,1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,
1],[5,1,2,2,1,1,5,-1,2,-2],[4,2,6,-1,4,-1,6,2,4,1]],[[1,1,2,1],[3,2,2,3,3,1],[
1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,1,6,1,4,1]]],[[[1,1,2,1],[1,-2,2,-1,3,
2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1,4,1,6,1]],[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1],[4,-2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,
2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,1,4,1]]],[[[1,1,2,1],[1,-2,2,-1,3,
2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1,4,1,6,-1]],[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1],[4,-2]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,
2]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[7,1,6,
1,7,1,6,1,4,1,6,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,
-2],[4,2,6,1,4,-1,6,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,
2,-2],[6,1,4,1,6,1,4,1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,
-1,2,-2],[6,1,4,2,6,2]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,
2,-2],[6,1,4,1,6,1,4,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,
5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,1,4,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[
2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2,6,-1,4,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,
2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,2,6,1]]],[[[1,1,2,1],[3,
2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,1,6,1,4,-2,6,2,4,-1]],[[1,
1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,2,6,2,4,2]],[[1,
1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2,6,-1,4,-1,6,1,4,
-1,6,1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,
1,6,1,4,-2,6,-2]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[
6,1,4,-1,6,-2,4,-1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,
-2],[6,2,4,2,6,-1,4,-1,6,-1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,
5,-1,2,-2],[4,2],[6,2,7,-1,6,1,7,1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,
1,2,2,1,1,5,-1,2,-2],[6,2,4,-1,6,1,4,-1,6,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,
1],[5,1,2,2,1,1,5,-1,2,-2],[4,2,6,-1,4,-2,6,-1]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,
3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[7,2]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,
2],[2,1,1,1],[5,1,4,1,5,1],[6,-2]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,
1],[5,1,4,-1,5,1,4,-1,5,-3,4,-1],[6,2]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,
1,1],[4,1,5,1],[6,2,5,1,6,1,5,2],[7,2]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,
1,1,1],[4,1,5,1],[5,1,6,2,5,1],[7,1,5,-1,4,-1,5,-1,7,1]],[[1,1,2,1],[1,-2,3,
-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[7,-3]],[[1,1,2,1],[1,-2,3,-1,
2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[7,1,5,1,4,1,5,1]]],[[[2,1,1,1],[
2,1,3,-1,1,1,2,2,3,1],[4,3],[1,1,2,1],[2,1,1,1,6,1,2,1,6,1],[5,1,7,1],[5,1,7,
-2,8,-2]],[[2,1,1,1],[2,1,3,-1,1,1,2,2,3,1],[4,3],[1,1,2,1],[2,1,1,1,6,1,2,1,
6,1],[7,1,5,1,7,-1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,
-2],[4,2],[7,1,6,2,7,-1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,
-1,2,-2],[6,1,4,-1,6,-1]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[5,2,4,
1,5,-2],[4,1,5,2,4,1,5,-1],[6,1,7,1,6,1,7,1]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,
2],[2,1,1,1],[4,1,5,2,4,1,5,-1],[6,2]]],[[[2,1,1,1],[2,1,3,-1,1,1,2,2,3,1],[4,
3],[1,1,2,1],[2,1,1,1,6,1,2,1,6,1],[5,1,7,1],[5,1,7,-2],[9,1,8,1,9,1,8,1]],[[
2,1,1,1],[2,1,3,-1,1,1,2,2,3,1],[4,3],[1,1,2,1],[2,1,1,1,6,1,2,1,6,1],[5,1,7,
1],[5,1,7,-2,8,-1,7,1,8,1]],[[2,1,1,1],[2,1,3,-1,1,1,2,2,3,1],[4,3],[1,1,2,
1],[2,1,1,1,6,1,2,1,6,1],[7,2],[8,2,5,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1,
4,-1,3,-1,4,1,2,-1],[1,1,2,1],[1,-2,2,-2,6,2,2,2,1,1],[5,1,7,1],[8,1,7,1,8,1,
5,1,8,-1]],[[1,1,2,1],[1,-2,2,-2,3,2,2,2,1,1]]],[[[2,1,1,1],[2,1,3,-1,1,1,2,2,
3,1],[4,3],[1,1,2,1],[2,1,1,1,6,1,2,1,6,1],[7,1,5,1],[8,1,7,-1,5,1,8,1,7,
-1]],[[2,1,1,1],[2,1,3,-1,1,1,2,2,3,1],[4,3],[1,1,2,1],[2,1,1,1,6,1,2,1,6,1],[
7,2,5,1,7,1,5,1,7,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,-1,4,1,2,-1],[1,
1,2,1],[1,-2,2,-2,6,2,2,2,1,1],[5,1,7,1],[8,1,5,-1,8,-1,7,-1,8,-1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1,4,-1,3,-1,4,1,2,-1],[1,1,2,1],[1,-2,2,-2,6,2,2,2,1,1],[
5,1,7,1],[7,1,5,-1,8,-2]],[[1,1,2,1],[1,-2,2,-2,3,2,2,2,1,1],[4,2]]],[[[1,1,2,
1],[2,1,1,1],[2,1,3,1,4,-1,3,-1,4,1,2,-1],[1,1,2,1],[1,-2,2,-2,6,2,2,2,1,1],[
5,1,7,1],[5,1,7,-1,8,-1,7,-1,8,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,-1,4,
1,2,-1],[1,1,2,1],[1,-2,2,-2,6,2,2,2,1,1],[5,1,7,1,5,1,7,1,5,1]],[[1,1,2,1],[
1,-2,2,-2,3,2,2,2,1,1],[4,2]]],[[[2,1,1,1],[2,1,3,-1,1,1,2,2,3,1],[4,3],[1,1,
2,1],[2,1,1,1,6,1,2,1,6,1],[7,2,5,1,7,1,5,1,7,-1]],[[2,1,1,1],[2,1,3,-1,1,1,2,
2,3,1],[4,3],[1,1,2,1],[2,1,1,1,6,1,2,1,6,1],[5,1,7,-2,5,1,7,1]]],[[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,2,6,
-1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,
2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,2,4,-1]],[[1,1,2,1],[1,-2,
2,-1,3,2,2,2,1,-1],[4,-2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,
1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-2,4,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[
2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-1,4,1,6,-1]],[[2,2],[2,1,1,1,3,-1,
2,-1,1,-1,3,-1],[4,2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,
-1,2,-1,1,-1,5,-1],[4,1,6,-2,4,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,
2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-1,6,1,4,1]],[[2,2],[2,1,1,1,3,-1,2,
-1,1,-1,3,-1],[4,2]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,
2,1,5,1,1,-2,2,2],[4,2,6,-2,4,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,
1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,1,6,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,
1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,1],[7,2,6,1]]],[[[1,1,2,1],[1,
-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,-1,4,
1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[
6,-1,4,2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,
-1,5,-1],[4,1,6,1,4,-1,6,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,
1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-1,4,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,
-1],[4,2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,
-1,5,-1],[4,1,6,2,4,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,
-1,2,-1,1,-1,5,-1],[6,1,4,-1,6,1,4,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[
2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,1,4,1]]],[[[1,1,2,1],[1,-2,2,-1,
3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,-1,4,1]],[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1],[4,-3]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,
2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-1,4,1,6,-1]]],[[[1,1,2,1],[1,-2,2,-1,
3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,-1,6,1,4,1]],[[1,1,2,1],[
1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,2]]],[[[1,
1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1,
4,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[6,1,4,2]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,2]]],[[[1,1,2,1],[1,-2,
2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-1,6,2]],[[1,1,
2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,
1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,-1,6,2,4,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,
-1,1,-1,5,-1],[6,1,4,-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,
1,5,-1,2,-1,1,-1,5,-1],[6,2,4,-1,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,
2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2,6,-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,
1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,2,4,-1,6,1]],[[1,1,2,1],[1,-2,2,
-1,3,2,2,2,1,-1],[4,-3]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,
5,-1,2,-1,1,-1,5,-1],[4,-1,6,1,4,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,
2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,
2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,-1,4,1,6,1]],[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,
1],[5,1,2,1,5,1,1,-2,2,2],[4,2,6,1,4,1,6,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,
1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,3,4,-1,6,-1]],[[1,1,2,1],[3,1,1,-1,
2,-1,3,1,2,1,3,1],[4,-3]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[
5,1,2,1,5,1,1,-2,2,2],[4,1,6,2,4,1,6,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,
1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,-1,6,1,4,-2]],[[1,1,2,1],[3,1,1,-1,
2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,-1,6,2]]],[[[1,1,2,1],[
3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,1,6,1,4,2,6,1,4,-1]],[[
1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,-1,6,2,4,1,6,
-1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,-2,6,1,
4,-1,6,1]]],[[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-4]],[[1,1,2,1],[1,-2,2,
-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2,6,-1,4,1]],[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1]],[[
1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,
2]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[7,
-3]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[5,1,4,1,5,1],[6,2]],[[1,1,2,
1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1,7,
1]]],[[[1,1,2,1],[1,-2,2,-2,3,2,2,2,1,1],[4,5]],[[1,1,2,1],[2,1,1,1],[2,1,3,1,
4,-1,3,-1,4,1,2,-1],[1,1,2,1],[1,-2,2,-2,6,2,2,2,1,1],[7,1,5,-1,7,2]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1,4,-1,3,-1,4,1,2,-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,
1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,2,4,1,6,-1]],[[1,1,2,1],[3,1,1,-1,
2,-1,3,1,2,1,3,1],[4,-3]]],[[[1,1,2,1],[1,-2,3,-1,2,-1],[4,1,1,-1,2,-1,3,-1,4,
-1],[1,1,2,1],[2,1,1,1],[2,1,7,1,6,1,7,-1,6,-2,2,-1],[8,1,5,1,8,-1]],[[1,1,2,
1],[1,-2,3,-1,2,-1],[4,1,1,-1,2,-1,3,-1,4,-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,
2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2,6,1,4,-1,6,-1]],[[1,1,2,1],[
1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,-1,6,1,4,1]],[[
2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,
-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-2,4,-1]]],[[[1,1,2,1],[3,2,2,
3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,2,6,2]],[[1,1,2,1],[3,2,2,3,3,
1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,-1,6,1,4,-1]]],[[[1,1,2,1],[3,2,2,3,3,
1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,1,4,-2,6,-1,4,1,6,-1]],[[1,1,2,
1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,1],[7,1,6,1,7,1,6,
1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,1,6,1,4,
1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,-1,6,
-1,4,2,6,2]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2,
6,1,4,2,6,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,
2],[6,1,4,1,7,1,6,1,7,1]]],[[[2,1,1,1],[2,1,3,-1,1,1,2,2,3,1],[4,3],[1,1,2,
1],[2,1,1,1,6,1,2,1,6,1],[5,1,7,1],[7,2,8,2,7,1]],[[2,1,1,1],[2,1,3,-1,1,1,2,
2,3,1],[4,3],[1,1,2,1],[2,1,1,1,6,1,2,1,6,1],[7,3,5,1,7,-1,5,1]]],[[[1,1,2,
1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[6,-1,4,1,6,1,7,
-1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,
1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,1,6,1,
4,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,
2]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[4,1,6,
1],[8,1,7,-1,8,-1,7,-1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,
2,-2],[6,1,4,1,6,1,4,1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,
-1,2,-2],[6,1,4,-1,6,1,4,2,6,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,
1,1,5,-1,2,-2],[6,1,4,1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,
-1,2,-2],[4,2],[7,1,6,1,7,1,6,-1,7,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,
1,2,2,1,1,5,-1,2,-2],[6,1,4,2,6,2]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,
2,1,1,5,-1,2,-2],[6,1,4,1,6,1,4,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,
2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-1,6,-2]],[[1,1,2,1],[1,-2,2,-1,3,2,2,
2,1,-1],[4,-2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,
-1,1,-1,5,-1],[6,1,4,1,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1]]],[[[1,1,2,
1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,-2,6,-2,4,-1,6,-1]],[[1,
1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,1,4,-2]]],[[[1,
1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,
6,-1,4,1,6,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,
1,-1,5,-1],[6,1,4,1,6,1,4,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[4,-2]]],[[[
1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,
2,4,-1,6,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[4,-2]],[[1,1,2,1],[1,-2,2,
-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,-1,6,1,4,1,6,-1]]],[[[
1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,1,6,1,4,2,6,1,
4,-1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,1,4,
-1,6,-2]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2,6,
1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,2,4,-1,6,
1,4,-1,6,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,
4,1,6,-1,4,1,6,1]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[5,1,4,1,5,1],[
6,2]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1]]],[[[
1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[7,-2]],[[1,1,
2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[5,-1,4,-1,5,-1]]],[[[1,1,2,1],[1,-2,3,-1,
2,-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[7,-2]],[[1,1,2,1],[1,-2,3,-1,2,
-1,3,2],[2,1,1,1],[4,1,5,1],[5,1,6,2,5,1],[5,1,4,1,5,1,7,1]],[[1,1,2,1],[1,-2,
3,-1,2,-1,3,2],[2,1,1,1],[5,1,4,1,5,1],[6,2]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,
2],[2,1,1,1],[5,1,4,-1,5,1,4,-1,5,-3,4,-1],[6,2]],[[1,1,2,1],[1,-2,3,-1,2,-1,
3,2],[2,1,1,1],[4,1,5,1],[6,2,5,1,6,1,5,2]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,
2],[2,1,1,1],[4,1,5,1],[6,2,5,1,6,1,5,2],[7,-2]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,
2],[2,1,1,1],[4,1,5,1],[6,2,5,1,6,1,5,2],[7,1,4,1,5,3,4,1,5,-1,4,1,5,-1]]],[[[
1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[6,2,5,1,6,1,5,2],[7,2]],[[
1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,3,4,1,5,-1,4,1,5,-1]]],[[[1,1,
2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[4,4]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,
1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,-1,6,1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,
1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,-2,6,1,4,1,6,1]],[[1,1,2,1],[3,2,2,3,3,
1]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[5,2,4,1,5,-2],[6,1,4,1,5,2,4,
1,5,-1,6,-1]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,2,4,1,5,
-1]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,2,4,1,5,-1],[6,1,5,2,
4,-1,5,-2,6,1]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[5,2,4,-1,5,
-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,-1,4,1,2,-1],[1,1,2,1],[1,-2,2,-2,
6,2,2,2,1,1],[7,1,5,1,7,-1]],[[1,1,2,1],[1,-2,2,-2,3,2,2,2,1,1],[4,2]]],[[[1,
1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,1,6,2,4,-1,6,
1]],[[1,1,2,1],[3,2,2,3,3,1]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,
1,5,2,4,1,5,1,4,1,5,-2]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,2,4,
1,5,-1],[6,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,-1,4,1,2,-1],[1,1,2,1],[
1,-2,2,-2,6,2,2,2,1,1],[7,2,5,1,7,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,
-1,4,1,2,-1],[1,1,2,1],[1,-2,2,-2,6,2,2,2,1,1],[5,1,7,-1,5,-1]]],[[[1,1,2,1],[
2,1,1,1],[2,1,3,1,4,-1,3,-1,4,1,2,-1],[1,1,2,1],[1,-2,2,-2,6,2,2,2,1,1],[5,1,
7,5,5,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,-1,4,1,2,-1],[1,1,2,1],[1,-2,
2,-2,6,2,2,2,1,1],[5,1,7,1,5,-1,7,1,5,1]],[[1,1,2,1],[1,-2,2,-2,3,2,2,2,1,
1]]],[[[1,1,2,1],[1,-2,3,-1,2,-1],[4,1,1,-1,2,-1,3,-1,4,-1],[1,1,2,1],[2,1,1,
1],[2,1,7,1,6,1,7,-1,6,-2,2,-1],[5,1,8,1]],[[1,1,2,1],[1,-2,3,-1,2,-1],[4,1,1,
-1,2,-1,3,-1,4,-1],[1,1,2,1],[2,1,1,1],[2,1,7,1,6,1,7,-1,6,-2,2,-1],[5,-1,8,
-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,
-1],[4,1,6,-1,4,-1,6,1,4,-1,6,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[4,
2]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,
2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-1,6,-1,4,-1]],[[1,1,2,1],[
1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,-1,6,2,4,1]],[[
1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[4,-3]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,
-1],[4,2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,
-1,5,-1],[6,1,4,1,6,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-2]],[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1],[4,2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,
2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,
-1],[4,-2]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,
-2,2,2],[4,1,6,1],[7,2,6,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,
1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,1,6,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,
1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,2,4,2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,
2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,-1,4,2]],[[1,1,2,1],[1,-2,2,-1,
3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,-1]]],[[[1,1,2,1],[3,
2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,2,6,1,4,1,6,1]],[[1,1,2,
1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,-2]]],[[[1,1,2,1],[
1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,-1,6,1,4,
-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[
6,1,4,-2]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-2]]],[[[1,1,2,1],[1,-2,2,
-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,2,4,1]],[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,2,6,-1]],[[
2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[
1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,2,6,3]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,
3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,1,6,-1]],[[1,1,2,1],[3,1,1,-1,2,
-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,1],[7,2,6,1]]],[[[1,1,
2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,1,6,
2,4,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,
2],[6,2,4,2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,
-2,2,2],[6,2,4,-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,
2,-1,1,-1,5,-1],[4,-1,6,1,4,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,
1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[
2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,-1,6,1,4,-1,6,-1]],[[1,1,2,1],[1,-2,2,
-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1]],[[1,1,2,1],[1,
-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,-1,4,2]]],[[[1,1,
2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,-2,6,1,4,1]],[[1,1,2,
1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,-2]]],[[[1,1,2,1],[
3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,-2,6,1,4,1,6,-1]],[[1,1,2,
1],[3,1,2,2,1,1,3,-1,2,-2],[4,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,-1,4,
1,2,-1],[1,1,2,1],[1,-2,2,-2,6,2,2,2,1,1],[5,1,7,1,5,1,7,-1]],[[1,1,2,1],[1,
-2,2,-2,3,2,2,2,1,1],[4,2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,
1,1,5,-1,2,-1,1,-1,5,-1],[4,-1,6,1,4,-1,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,
-1],[4,2]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,-2]]],[[[1,1,2,1],[3,2,2,3,
3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,-1,6,1,4,2,6,1]],[[1,1,2,1],[3,
2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,-1,4,1]]],[[[1,1,2,1],[3,
2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,-1,6,1,4,2,6,1]],[[1,1,2,
1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,-2]]],[[[1,1,2,1],[
3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,-1,4,1]],[[1,1,2,1],[3,
2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,1]]],[[[1,1,2,1],[3,2,2,3,
3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,-1,6,1,4,2,6,-1,4,-1]],[[1,1,2,
1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,1]]],[[[1,1,2,1],[3,
2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,1,6,2,4,2]],[[1,1,2,1],[3,
2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,1,4,-2]],[[1,1,2,1],[3,2,
2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,2,4,1,6,1]]],[[[1,1,2,1],[3,2,2,
3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,-1,6,-1,4,2,6,2]],[[1,1,2,1],[
3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2,6,1]],[[1,1,2,1],[3,2,2,3,
3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2],[7,2,6,2,4,1]]],[[[1,1,2,1],[3,2,
2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,-1,6,1,4,1]],[[1,1,2,1],[3,
2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,2,4,-1]]],[[[1,1,2,1],[1,-2,2,
-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,2,4,1,6,-1]],[[1,1,2,
1],[1,-2,2,-1,3,2,2,2,1,-1]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,
5,1],[5,1,6,2,5,1]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[5,1,4,1,5,
1]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[6,2,5,1,6,1,5,
2]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[5,1,4,-1,5,1,4,-1,5,-3,4,
-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,
2],[6,2,4,1,6,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1]]],[[[1,1,2,1],[3,1,
1,-1,2,-1,3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,1]],[[1,1,2,
1],[3,1,1,-1,2,-1,3,1,2,1,3,1],[4,2]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,
1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[6,1,4,1,6,1]],[[1,1,2,1],[3,1,1,-1,2,-1,
3,1,2,1,3,1],[1,1,2,1],[5,1,2,1,5,1,1,-2,2,2],[4,1,6,-2]]],[[[1,1,2,1],[1,-2,
3,-1,2,-1,3,2],[2,1,1,1],[5,2,4,1,5,-2]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,
1,1],[4,1,5,2,4,1,5,-1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,
-1,2,-2],[6,2,4,-1,6,1,4,1,6,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,
1,1,5,-1,2,-2],[6,1,4,-1,6,2]],[[1,1,2,1],[3,2,2,3,3,1]]],[[[1,1,2,1],[2,1,1,
1],[3,2,2,1,4,1,2,1,1,-1,2,1,3,1,4,-1],[5,3]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,
-1,3,-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,
5,-1],[6,1,4,-1,6,1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,
2,-1,1,-1,5,-1],[4,-1,6,1,4,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1],[4,
2]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2,6,1,4,2,
6,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,2]],[[
1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,1],[7,1,6,1,7,
1,6,1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[4,-3]],[[1,1,2,1],[1,-2,2,-1,3,
2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[4,1,6,1]],[[1,1,2,1],[1,-2,2,
-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-1]]],[[[1,1,2,
1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,-2,6,1,4,1]],[[1,1,2,
1],[3,1,2,2,1,1,3,-1,2,-2]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,
5,-1,2,-2],[4,1,6,-1,4,1]],[[1,1,2,1],[3,1,2,2,1,1,3,-1,2,-2],[4,2]]],[[[1,1,
2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,2,6,-2]],[[1,1,2,1],[
3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,1,6,1,4,1]],[[1,1,2,1],[
3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,2,4,-1]]],[[[1,1,2,1],[
3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,-1,4,1,6,1]],[[1,1,2,
1],[3,1,2,2,1,1,3,-1,2,-2],[4,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,-1,4,
1,2,-1],[1,1,2,1],[1,-2,2,-2,6,2,2,2,1,1],[7,1,5,-1,7,-1]],[[1,1,2,1],[1,-2,2,
-2,3,2,2,2,1,1],[4,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,-1,4,1,2,-1]]],[[[
1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,-1,4,1,2,-1],[1,1,2,1],[1,-2,2,-2,6,2,2,2,
1,1],[5,1,7,-1,5,-1]],[[1,1,2,1],[1,-2,2,-2,3,2,2,2,1,1]]],[[[1,1,2,1],[1,-2,
2,-2,3,2,2,2,1,1],[4,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,-1,4,1,2,-1],[1,
1,2,1],[1,-2,2,-2,6,2,2,2,1,1],[7,1,5,-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,
-1],[2,2],[2,1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,1,6,-1]],[[1,1,2,1],[1,-2,2,-1,
3,2,2,2,1,-1]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,1,1,1,5,-1,2,-1,
1,-1,5,-1],[4,1,6,-1,4,-1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1]],[[1,1,2,1],[
1,-2,2,-1,3,2,2,2,1,-1],[4,2]]],[[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[2,2],[2,
1,1,1,5,-1,2,-1,1,-1,5,-1],[6,1,4,-1]],[[1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1],[4,
-2]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[6,1,4,-1,6,
1,4,1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,
2]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,-1,2,-2],[4,1,6,1,4,
-2]]],[[[2,1,1,1],[2,1,3,-1,1,1,2,2,3,1],[4,3],[1,1,2,1],[2,1,1,1,6,1,2,1,6,
1],[5,1,7,-2,5,1,7,1]],[[2,1,1,1],[2,1,3,-1,1,1,2,2,3,1],[4,3],[1,1,2,1],[2,1,
1,1,6,1,2,1,6,1],[7,1,5,1,7,-1,5,1]]],[[[2,1,1,1,2,3,1,1],[3,2]],[[1,1,2,1],[
3,1,2,1,1,-1,3,-2,2,-1],[4,2]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,
1,1,5,-1,2,-2],[4,1,6,-1,4,-1]],[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,
1,5,-1,2,-2],[6,1,4,1]]],[[[1,1,2,1],[3,2,2,3,3,1],[1,1,2,1],[5,1,2,2,1,1,5,
-1,2,-2],[4,1,6,-1,4,1]],[[1,1,2,1],[3,1,2,2,1,1,3,-1,2,-2]]],[[[1,1,2,1],[2,
1,1,1],[2,1,3,1,4,-1,3,-1,4,1,2,-1]],[[1,1,2,1],[1,-2,2,-2,3,2,2,2,1,1]]],[[[
1,1,2,1],[1,-2,2,-1,3,2,2,2,1,-1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,-1,3,-1]]],[[[
2,1,1,1],[2,1,3,-1,1,1,2,2,3,1],[4,3],[1,1,2,1],[2,1,1,1,6,1,2,1,6,1],[5,1,7,
1],[5,1,7,-1,8,2,7,1],[9,5]],[[2,1,1,1],[2,1,3,-1,1,1,2,2,3,1],[4,3],[1,1,2,
1],[2,1,1,1,6,1,2,1,6,1],[5,1,7,1],[8,1,5,1,8,-1,7,1,5,1,7,-1]]],[[[1,1,2,1],[
3,1,2,1,1,-1,3,-2,2,-1],[4,2]],[[1,-1,2,-3,1,-1,2,-1]]],[[[1,1,2,1],[3,1,2,1,
1,-1,3,-2,2,-1],[1,-1,2,-3,1,-1,2,-1,4,1]],[[1,1,2,1],[3,1,2,1,1,-1,3,-2,2,
-1],[4,-2]]],[[[2,1,1,1,2,3,1,1],[3,2]],[[1,1,2,1],[3,1,2,1,1,-1,3,-2,2,
-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,3,1]],[[1,1,2,1],[3,1,2,1,3,1,1,-2,2,
2]]],[[[1,1,2,1],[3,1,2,2,1,1,3,-1,2,-2],[4,2]],[[1,1,2,1],[3,2,2,3,3,1]]],[[[
1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,1,2,1,4,1,3,1,4,-1]],[[1,1,2,1],[1,-2,2,
-2,3,3,2,1]]],[[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1],[4,5]],[[2,1,1,1],[2,1,3,-1,1,
1,2,2,3,1],[4,3],[1,1,2,1],[2,1,1,1,6,1,2,1,6,1],[5,1,7,1],[5,1,7,-1,8,2,5,1,
7,-2]]],[[[1,1,2,1],[3,2,2,3,3,1]],[[1,1,2,1],[3,1,2,2,1,1,3,-1,2,-2]]],[[[1,
1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1],[4,1,5,1],[6,1,4,1,6,-2,5,-1],[7,6]],[[
1,1,2,1],[1,-2,3,-1,2,-1,3,2],[2,1,1,1,4,-2]]],[[[2,1,1,1],[2,1,3,-1,1,1,2,2,
3,1],[4,3]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,
2]],[[2,1,1,1]]],[[[1,1]],[[2,1]]]]);
AFLT( "2.S6(2)", "Co3", [1,2,2,3,4,4,5,7,8,7,8,8,9,9,11,11,10,11,12,21,22,23,21,
22,22,23,24,15,17,16,15,17,19,19,18,26,32,33,34,35,32,33,35,34,27,27,28,31,30,
29,30,28,31,31,36,39,36,39,36,38,37,39,37,38,47,48,49,48,47,49,40,45,43,42,44,
46,42,43,41,40,45,41,44,46,46,45,43,46,42,53,52,51,57,62,60,65,66,67,82,83,84,
83,82,72,74,73,76,79,72,80,74,80,77,79,78,79,76,85,85,86,88,69,68,91,90,89,92,
94,96,97,95,96,98,99,102,98,99,102,100,101,103,104,105,104,103,110,113,112,
111,118,117,120,119,114,116,121,115,122,113,110,116,114,122,117,118,121,115,
106,108,109,107,106,109,107,107,109,124,123,126,133,132,124,123,125,125,132,
126,133,131,130,129,127,134,128,126,129,135,136,127,123,133,127,128,132,129,
129,127,134,135,136,141,140,149,142,143,145,148,146,144,147,143,148,142,147,
146,144,138,137,139,150,152,151,153,156,154,155,151,152,158,159,160,157,150,
155,153,154,156,161,162,162,162,161,164,163,169,167,165,166,168,163,167,166,
164,165,168,197,201,200,201,180,178,171,174,177,173,174,186,184,181,182,183,
188,192,189,204,203,206,209,213,214,216,220,221,221,222,224,223,220,221,222,
224,236,237,238,239,226,227,228,226,228,229,230,241,240,249,251,248,250,252,
248,249,251,242,242,245,244,243,245,257,257,260,261,259,258,258,259,231,233,
234,233,254,253,255,256,265,262,266,265,274,270,281,291,292,294,297,298,299,
300,301,304,302,308,303,309,307,305,306,304,303,302,308,309,317,317,318,319,
320,318,320,322,321,319,310,312,311,314,311,310,313,312,314,311,323,323,323,
342,344,343,345,337,338,337,338,339,336,336,339,335,335,315,315,316,326,325,
329,327,330,328,324,326,325,327,328,329,329,328,340,341,340,341,346,347,348,
349,350,351,354,353,352,355,357,356,403,402,403,402,404,405,390,393,400,397,
398,394,399,392,391,401,395,392,391,396,390,393,394,395,396,401,359,358,360,
359,360,358,360,383,384,386,387,385,388,389,388,386,389,387,331,333,333,334,
334,334,332,361,361,361,362,362,362,363,364,365,368,373,374,369,372,370,375,
366,367,371,382,376,377,367,366,380,378,381,379,372,370,369,374,368,373,375,
371,411,412,413,413,415,414,412,411,418,419,418,420,419,418,419,420,420,407,
408,406,406,410,409,407,408,428,416,417,421,422,426,425,427,423,424,429,429,
429,455,457,458,456,459,465,464,466,468,467,469,451,452,454,453,454,451,473,
460,474,447,437,441,440,445,446,439,438,475,476,480,484,482,487,496,497,499,
498,496,497,500,501,502,499,498,491,490,493,492,494,495,503,503,504,505,508,
503,504,505,506,507,508,510,511,513,512,517,514,516,518,515,519,510,511,520,
518,515,516,520,520,514,521,526,523,524,525,528,528,527,534,535,529,532,533,
530,573,562,563,564,565,539,539,538,537,541,538,542,572,554,553,552,551,569,
568,550,549,559,557,558,556,555,555,556,559,558,570,570,547,546,571,560,561,
545,544,567,566,536,536,548,587,585,579,577,603,604,643,596,610,618,619,635,
637,645,646,654,648,655,653,660,661,662,664,664,669,669,668,670,668,671,672,
663,665,666,667,667,676,715,714,716,717,706,707,709,708,710,674,673,674,673,
675,678,677,679,680,702,703,704,705,702,703,704,705,692,693,694,697,696,695,
698,699,712,712,713,713,711,711,682,684,683,689,685,688,687,686,690,691,691,
690,681,700,700,701,701,724,723,726,725,728,727,729,719,718,721,720,722,775,
776,778,777,756,757,758,759,760,756,758,757,730,731,732,730,732,734,735,737,
736,744,741,742,743,740,747,745,746,738,739,733,736,737,738,739,740,743,742,
747,779,779,761,762,762,761,781,768,766,767,769,770,766,767,768,782,783,784,
785,755,755,749,750,752,751,748,780,780,787,787,787,771,754,754,772,773,773,
773,772,764,764,765,765,763,786,753,753,774,774,805,805,805,800,801,799,802,
803,803,803,788,789,790,791,793,792,804,804,804,798,798,798,797,796,795,794,
818,819,812,813,810,811,827,826,827,830,831,832,846,845,847,841,840,851,839,
838,828,842,854,863,877,884,886,885,887,885,886,887,882,883,883,878,879,880,
881,903,902,905,904,907,908,906,889,888,888,889,930,901,900,910,909,915,912,
914,913,911,917,916,918,923,924,922,929,919,920,921,894,895,892,893,897,896,
892,893,894,899,898,890,891,890,891,932,936,940,939,945,945,948,949,946,947,
950,950,950,946,947,944,944,944,953,952,951,959,960,968,969,967,966,965,962,
964,963,961,933,935,956,956,954,955,957,958,993,995,1011,1014,1012,1015,1027,
1019,1018,1016,1028,985,989,1031,1034,1037,1036,1038,1039,1040,1053,1054,1052,
1050,1061,1078,1078,1068,1069,1077,1065,1066,1067,1070,1073,1071,1072,1074,
1075,1076,1062,1081,1113,1113,1088,1090,1089,1092,1091,1082,1082,1115,1104,
1103,1105,1109,1106,1110,1107,1108,1085,1084,1087,1086,1083,1114,1116,1116,
1094,1093,1095,1096,1099,1098,1101,1101,1111,1111,1112,1112,1100,1100,1102,
1102,1063,1064,1097,1138,1136,1137,1142,1141,1143,1158,1144,1144,1148,1128,
1134,1133,1132,1131,1119,1118,1120,1127,1126,1123,1124,1149,1150,1151,1152,
1080,1080,1079,1160,1159,1154,1154,1154,1161,1140,1139,1153,1146,1145,1145,
1146,1155,1157,1156,1156,1155,1125,1125,1129,1117,1121,1122,1130,1135,1147,
1164,1164,1164,1165,1162,1163,1178,1181,1179,1180,1191,1190,1189,1185,1182,
1184,1184,1194,1192,1193,1195,1188,1187,1186,1187,1188,1183,1201,1200,1202,
1203,1206,1228,1231,1270,1249,1252,1240,1245,1279,1277,1275,1285,1285,1286,
1286,1294,1293,1297,1298,1287,1289,1288,1291,1290,1292,1301,1301,1301,1351,
1352,1353,1314,1313,1324,1311,1310,1309,1312,1311,1310,1337,1336,1339,1338,
1295,1296,1329,1332,1331,1330,1333,1330,1331,1329,1332,1343,1343,1355,1326,
1325,1335,1327,1328,1345,1346,1323,1322,1319,1320,1303,1302,1303,1318,1317,
1315,1316,1306,1305,1304,1334,1334,1356,1356,1344,1354,1341,1340,1347,1348,
1349,1350,1342,1363,1365,1368,1367,1357,1357,1357,1369,1358,1358,1358,1370,
1371,1378,1375,1377,1397,1410,1411,1413,1416,1403,1402,1417,1418,1419,1420,
1421,1422,1427,1428,1429,1430,1431,1433,1432,1434,1441,1442,1443,1444,1445,
1466,1472,1469,1470,1471,1467,1493,1494,1487,1475,1475,1483,1482,1485,1484,
1478,1479,1486,1496,1497,1498,1480,1474,1500,1481,1502,1502,1499,1489,1489,
1492,1476,1476,1468,1501,1491,1473,1495,1477,1488,1490,1504,1505,1506,1503,
1511,1512,1510,1508,1507,1509,1513,1528,1522,1525,1524,1515,1517,1517,1516,
1521,1519,1520,1530,1531,1523,1529,1534,1537,1538,1536,1566,1569,1571,1570,
1586,1588,1587,1595,1592,1593,1596,1597,1598,1602,1603,1613,1614,1615,1618,
1618,1619,1621,1625,1625,1626,1626,1623,1624,1656,1642,1643,1655,1654,1620,
1664,1634,1639,1640,1641,1652,1653,1665,1662,1661,1657,1637,1638,1638,1644,
1645,1649,1663,1635,1636,1647,1646,1629,1629,1658,1659,1633,1651,1650,1628,
1660,1630,1631,1648,1668,1668,1668,1666,1675,1678,1689,1697,1690,1683,1691,
1684,1688,1685,1686,1698,1696,1701,1711,1712,1713,1763,1766,1767,1765,1772,
1769,1779,1768,1770,1776,1778,1775,1774,1773,1771,1777,1781,1780,1782,1783,
1784,1787,1787,1786,1785,1793,1794,1797,1798,1796,1813,1811,1825,1830,1831,
1832,1852,1848,1849,1850,1851,1853,1864,1867,1867,1882,1871,1871,1880,1881,
1870,1870,1868,1869,1886,1885,1887,1888,1890,1892,1889,1891,1901,1898,1902,
1946,1948,1949,1950,1953,1952,1951,1955,1954,1966,1962,1964,1965,1961,1956,
1956,1963,1971,1979,1976,1977,1984,1988,1985,1994,1996,1997,1998,1999,2012,
2013,2016,2017,2046,2052,2053,2054,2067,2063,2069,2064,2064,2049,2058,2059,
2066,2065,2057,2073,2113,2115,2121,2124,2122,2123,2120,2119,2118,2126,2136,
2137,2143,2141,2139,2148,2147,2181,2185,2183,2184,2187,2188,2189,2190,2235,
2236,2234,2248,2243,2249,2250,2258,2285,2288,2287,2308,2320,2326,2350,2349,
2351,2377,2378,2394,2418,2421,2424,2440,2443,2472]);
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#E