GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
#############################################################################
##
#W tma12m4.tom GAP table of marks library Thomas Merkwitz
##
#H @(#)$Id: tma12m4.tom,v 4.2 2001/07/05 06:55:25 gap Exp $
##
#Y Copyright (C) 1997, Lehrstuhl D fuer Mathematik, RWTH Aachen, Germany
##
## This file contains the table of marks of the fourth maximal subgroup of
## $A12$.
##
#H tomlib history
#H --------------
#H $Log: tma12m4.tom,v $
#H Revision 4.2 2001/07/05 06:55:25 gap
#H first revision for tomlib
#H
#H
#H tom history (GAP 4)
#H -------------------
#H (Rev. 4.2 of tomlib coincides with Rev. 4.1 of tom in GAP 4)
#H
#H RCS file: /gap/CVS/GAP/4.0/tom/tma12m4.tom,v
#H Working file: tma12m4.tom
#H head: 4.1
#H branch:
#H locks: strict
#H access list:
#H symbolic names:
#H GAP4R2: 4.1.0.10
#H GAP4R2PRE2: 4.1.0.8
#H GAP4R2PRE1: 4.1.0.2
#H GAP4R1: 4.1.0.6
#H GAP4B5: 4.1.0.4
#H dec16-98b: 4.1
#H GAP4b4: 4.1
#H version-14-apr: 4.1
#H version-15-jun: 4.1
#H keyword substitution: kv
#H total revisions: 2; selected revisions: 2
#H description:
#H ----------------------------
#H revision 4.1
#H date: 1997/11/20 11:33:18; author: gap; state: Exp; lines: +2 -2
#H changed revision number to 4.1
#H ----------------------------
#H revision 1.1
#H date: 1997/11/17 12:42:34; author: gap; state: Exp;
#H added new table of marks library file
#H ==========================================================================
#H
Revision.tma12m4_tom :=
"@(#)$Id: tma12m4.tom,v 4.2 2001/07/05 06:55:25 gap Exp $";
SetActualLibFileName("tma12m4");
LIBTOM( "(A6xA6):2^2",
[[1],[1,2],[1,3],[1,4],[1,5],[1,6],[1,7],[1,8],[1,9],[1,10],[1,11],[1,12],[1,
13],[1,2,3,14],[1,2,4,15],[1,2,3,5,16],[1,2,4,5,17],[1,2,4,6,18],[1,2,7,8,
19],[1,3,20],[1,3,21],[1,3,4,22],[1,3,4,23],[1,3,5,24],[1,3,25],[1,3,26],[1,3,
27],[1,3,5,28],[1,3,4,29],[1,3,30],[1,3,5,6,31],[1,3,6,32],[1,4,33],[1,4,34],[
1,4,35],[1,4,5,36],[1,4,37],[1,4,5,38],[1,4,5,6,39],[1,4,6,40],[1,4,41],[1,4,
7,42],[1,4,8,43],[1,4,44],[1,4,45],[1,6,7,8,46],[1,47],[1,48],[1,49],[1,2,9,
50],[1,3,9,51],[1,5,9,52],[1,3,9,53],[1,2,9,54],[1,4,9,55],[1,5,9,56],[1,2,10,
57],[1,3,11,58],[1,2,10,59],[1,4,10,60],[1,8,10,61],[1,7,10,62],[1,7,10,63],[
1,8,10,64],[1,5,11,65],[1,5,12,66],[1,3,11,67],[1,4,11,68],[1,5,11,69],[1,6,
11,70],[1,6,11,71],[1,5,12,72],[1,4,12,73],[1,6,13,74],[1,4,13,75],[1,8,13,
76],[1,8,13,77],[1,7,13,78],[1,7,13,79],[1,6,13,80],[1,2,3,14,20,21,81],[1,2,
3,4,14,15,22,82],[1,2,3,4,14,21,23,83],[1,2,3,4,5,14,16,17,22,24,84],[1,2,3,4,
14,23,25,85],[1,2,3,5,14,16,26,86],[1,2,3,5,14,27,28,87],[1,2,3,4,5,14,15,16,
17,29,88],[1,2,3,5,14,28,30,89],[1,2,3,4,5,6,14,17,18,29,31,90],[1,2,3,6,14,
30,32,91],[1,2,4,15,33,34,92],[1,2,4,6,15,18,37,93],[1,2,4,5,15,17,37,38,94],[
1,2,4,6,15,40,41,95],[1,2,4,7,8,15,19,42,43,96],[1,2,4,15,44,45,97],[1,2,4,7,
15,42,44,98],[1,2,4,8,15,43,45,99],[1,2,3,5,16,20,28,100],[1,2,3,4,5,16,17,23,
28,36,101],[1,2,3,5,16,21,27,102],[1,2,3,5,16,21,30,103],[1,2,3,4,5,6,16,18,
22,31,38,104],[1,2,3,4,5,16,17,24,29,38,105],[1,2,3,4,5,6,16,18,23,32,39,
106],[1,2,3,5,16,25,30,107],[1,2,4,5,6,17,18,35,36,39,108],[1,2,4,6,7,8,18,19,
42,43,46,109],[1,2,4,6,18,44,45,110],[1,2,4,6,18,33,40,111],[1,2,4,6,18,34,41,
112],[1,3,4,20,22,23,113],[1,3,5,20,24,25,114],[1,3,20,26,27,115],[1,3,4,20,
29,30,116],[1,3,5,6,20,31,32,117],[1,3,4,21,22,118],[1,3,4,21,22,25,119],[1,3,
4,5,21,23,24,120],[1,3,5,21,26,28,121],[1,3,4,5,21,28,29,122],[1,3,4,6,21,29,
32,123],[1,3,5,6,21,30,31,124],[1,3,4,22,23,33,125],[1,3,4,22,34,126],[1,3,4,
22,26,29,127],[1,3,4,22,23,29,35,128],[1,3,4,5,22,24,28,36,129],[1,3,4,22,27,
30,130],[1,3,4,22,30,131],[1,3,4,22,25,132],[1,3,4,22,29,37,133],[1,3,4,5,6,
22,28,31,32,39,134],[1,3,4,22,30,135],[1,3,4,6,22,32,40,136],[1,3,4,22,41,
137],[1,3,4,7,22,42,45,138],[1,3,4,8,22,43,44,139],[1,3,4,5,23,24,25,140],[1,
3,4,23,26,30,141],[1,3,4,23,27,29,142],[1,3,4,23,29,30,143],[1,3,4,23,29,30,
144],[1,3,4,5,6,23,28,31,38,39,145],[1,3,4,5,6,23,31,32,39,40,146],[1,3,5,6,
24,26,31,147],[1,3,5,6,24,27,32,148],[1,3,5,24,28,30,149],[1,3,4,5,6,24,29,31,
36,39,150],[1,3,5,6,24,30,32,151],[1,3,6,25,26,32,152],[1,3,5,6,25,27,31,
153],[1,3,4,5,25,28,29,154],[1,3,4,6,25,29,32,155],[1,3,5,6,25,30,31,156],[1,
4,33,37,41,157],[1,4,5,6,33,38,39,40,158],[1,4,7,33,42,159],[1,4,8,33,43,44,
160],[1,4,33,45,161],[1,4,8,33,43,162],[1,4,7,33,42,45,163],[1,4,33,44,164],[
1,4,5,34,35,36,165],[1,4,6,34,37,40,166],[1,4,5,34,38,41,167],[1,4,7,34,42,44,
168],[1,4,7,8,34,42,43,169],[1,4,34,44,45,170],[1,4,8,34,43,45,171],[1,4,5,35,
36,38,172],[1,4,35,41,173],[1,4,5,36,41,174],[1,4,7,37,42,175],[1,4,8,37,43,
176],[1,4,37,44,177],[1,4,37,45,178],[1,4,7,37,42,45,179],[1,4,8,37,43,44,
180],[1,4,5,7,38,42,44,181],[1,4,5,8,38,43,45,182],[1,4,6,7,8,40,42,43,46,
183],[1,4,6,8,40,43,45,184],[1,4,6,7,40,42,44,185],[1,4,6,40,44,45,186],[1,4,
7,41,42,45,187],[1,4,8,41,43,188],[1,4,41,44,189],[1,4,7,41,42,190],[1,4,8,41,
43,44,191],[1,4,41,45,192],[1,4,41,193],[1,4,41,194],[1,9,10,195],[1,9,11,12,
196],[1,9,11,197],[1,9,10,12,198],[1,9,12,13,199],[1,10,11,12,200],[1,10,12,
13,201],[1,10,13,202],[1,10,12,13,203],[1,10,13,204],[1,11,13,205],[1,11,12,
13,206],[1,12,207],[1,12,208],[1,3,47,209],[1,3,47,210],[1,4,47,211],[1,4,48,
212],[1,8,48,213],[1,8,48,214],[1,4,49,215],[1,7,49,216],[1,7,49,217],[1,2,3,
9,14,50,51,218],[1,2,3,5,9,16,50,51,52,219],[1,2,3,9,14,50,53,54,220],[1,2,4,
9,15,50,54,55,221],[1,2,4,5,9,17,50,55,56,222],[1,3,9,20,51,223],[1,3,9,21,51,
224],[1,3,9,26,51,225],[1,3,5,9,28,51,52,226],[1,3,9,27,51,227],[1,3,4,9,22,
51,53,55,228],[1,2,3,9,14,51,54,229],[1,3,4,9,23,51,55,230],[1,3,9,21,51,
231],[1,2,3,5,9,16,51,54,56,232],[1,3,4,9,29,51,55,233],[1,3,5,9,28,51,56,
234],[1,3,9,30,51,235],[1,3,5,9,24,52,53,56,236],[1,2,4,5,9,17,52,54,55,237],[
1,4,5,9,36,52,55,56,238],[1,2,4,10,15,57,59,60,239],[1,2,7,8,10,19,57,61,63,
240],[1,2,7,8,10,19,57,62,64,241],[1,3,9,20,242],[1,3,10,20,243],[1,3,11,20,
58,244],[1,3,12,20,245],[1,3,5,11,24,58,65,246],[1,3,11,25,58,247],[1,3,4,11,
22,58,67,68,248],[1,3,4,11,23,58,68,249],[1,3,5,11,24,58,69,250],[1,3,11,25,
58,251],[1,3,11,26,58,252],[1,3,11,27,58,253],[1,3,4,11,29,58,68,254],[1,3,11,
30,58,255],[1,3,5,6,11,31,58,65,70,256],[1,3,6,11,32,58,70,257],[1,3,5,6,11,
31,58,69,71,258],[1,3,6,11,32,58,71,259],[1,3,11,26,260],[1,3,12,26,261],[1,3,
13,26,262],[1,2,7,8,10,19,59,61,62,263],[1,2,7,8,10,19,59,63,64,264],[1,4,8,
10,43,60,61,64,265],[1,4,7,10,42,60,62,63,266],[1,4,10,33,267],[1,4,12,35,
268],[1,4,13,37,269],[1,3,5,11,28,65,67,69,270],[1,4,5,11,36,65,68,69,271],[1,
4,5,6,11,39,65,68,71,272],[1,4,5,12,36,66,72,73,273],[1,3,6,11,32,67,70,71,
274],[1,4,5,6,11,39,68,69,70,275],[1,4,6,11,40,68,70,71,276],[1,6,7,8,13,46,
74,76,79,277],[1,4,6,13,40,74,75,80,278],[1,6,7,8,13,46,74,77,78,279],[1,4,8,
13,43,75,76,77,280],[1,4,7,13,42,75,78,79,281],[1,6,7,8,13,46,76,78,80,282],[
1,6,7,8,13,46,77,79,80,283],[1,9,47,284],[1,11,47,285],[1,2,3,4,14,15,20,21,
22,23,81,82,83,113,118,286],[1,2,3,4,5,14,16,17,20,21,22,23,24,25,81,84,85,
113,114,119,120,287],[1,2,3,5,14,16,20,21,26,27,28,81,86,87,100,102,115,121,
288],[1,2,3,4,5,14,15,16,17,20,21,28,29,30,81,88,89,100,103,116,122,289],[1,2,
3,4,5,6,14,17,18,20,21,29,30,31,32,81,90,91,116,117,123,124,290],[1,2,3,4,14,
15,22,23,33,34,82,92,125,126,291],[1,2,3,4,5,14,15,16,17,22,24,26,29,82,84,86,
88,127,292],[1,2,3,4,14,15,21,22,23,25,29,35,82,83,85,119,128,293],[1,2,3,4,5,
14,15,22,24,27,28,30,36,82,87,89,129,130,294],[1,2,3,4,14,15,22,25,30,82,131,
132,295],[1,2,3,4,5,6,14,15,16,17,18,22,29,31,37,38,82,88,90,93,94,104,133,
296],[1,2,3,4,5,6,14,15,22,28,30,31,32,39,82,89,91,134,135,297],[1,2,3,4,6,14,
15,22,32,40,41,82,95,136,137,298],[1,2,3,4,7,8,14,15,19,22,42,43,44,45,82,96,
97,98,99,138,139,299],[1,2,3,4,5,14,16,17,21,22,23,24,29,35,83,84,118,120,128,
300],[1,2,3,4,5,14,16,17,21,23,26,28,30,36,83,86,89,101,103,121,141,301],[1,2,
3,4,5,14,15,16,17,21,23,27,28,29,36,83,87,88,101,102,122,142,302],[1,2,3,4,5,
6,14,15,16,17,18,21,23,29,30,32,39,83,88,91,103,106,123,144,303],[1,2,3,4,5,6,
14,17,18,21,23,28,29,30,31,38,39,83,89,90,122,124,144,145,304],[1,2,3,4,5,14,
16,17,20,22,23,24,28,36,84,100,101,113,129,305],[1,2,3,4,5,14,16,17,22,23,24,
25,33,84,85,125,132,140,306],[1,2,3,4,5,14,16,17,21,22,24,27,30,84,102,103,
118,130,307],[1,2,3,4,5,14,16,17,22,24,30,34,84,126,131,308],[1,2,3,4,5,6,14,
16,17,18,22,24,26,29,31,38,84,86,90,104,105,127,147,309],[1,2,3,4,5,6,14,16,
17,22,24,27,28,30,31,32,39,84,87,91,130,134,148,149,310],[1,2,3,4,5,14,15,16,
17,22,24,29,37,38,84,88,94,105,133,311],[1,2,3,4,5,14,16,17,22,24,28,30,36,84,
89,129,135,149,312],[1,2,3,4,5,6,14,16,17,18,22,23,24,28,29,31,32,35,36,39,84,
90,101,106,108,128,134,150,313],[1,2,3,4,5,6,14,16,17,22,24,30,32,40,84,91,
131,136,151,314],[1,2,3,4,5,14,16,17,21,22,24,25,30,84,103,107,119,135,315],[
1,2,3,4,5,14,16,17,22,24,25,41,84,132,137,316],[1,2,3,4,5,6,14,16,18,23,25,26,
30,32,39,85,86,91,106,107,141,152,317],[1,2,3,4,5,6,14,17,18,23,25,27,28,29,
31,38,39,85,87,90,142,145,153,154,318],[1,2,3,4,5,14,15,16,17,23,25,28,29,30,
36,85,88,89,101,107,144,154,319],[1,2,3,4,5,6,14,17,18,23,25,29,30,31,32,39,
40,85,90,91,143,146,155,156,320],[1,2,4,6,15,18,33,34,37,40,41,92,93,95,111,
112,157,166,321],[1,2,4,5,6,15,17,33,34,37,38,39,40,41,92,94,95,157,158,166,
167,322],[1,2,4,7,8,15,19,33,34,42,43,44,92,96,98,159,160,168,169,323],[1,2,4,
8,15,33,34,43,44,45,92,97,99,160,161,170,171,324],[1,2,4,7,8,15,19,33,34,42,
43,45,92,96,99,162,163,169,171,325],[1,2,4,7,15,33,34,42,44,45,92,97,98,163,
164,168,170,326],[1,2,4,6,7,8,15,18,19,37,42,43,46,93,96,109,175,176,327],[1,
2,4,6,15,18,37,44,45,93,97,110,177,178,328],[1,2,4,6,7,8,15,18,19,37,42,43,44,
45,46,93,98,99,109,110,179,180,329],[1,2,4,5,7,8,15,17,19,37,38,42,43,44,45,
94,96,97,179,180,181,182,330],[1,2,4,5,7,15,17,37,38,42,44,94,98,175,177,181,
331],[1,2,4,5,8,15,17,37,38,43,45,94,99,176,178,182,332],[1,2,4,5,15,17,37,38,
44,45,94,177,178,333],[1,2,4,6,7,8,15,19,40,41,42,43,45,46,95,96,99,183,184,
187,188,334],[1,2,4,6,7,15,40,41,42,44,45,95,97,98,185,186,187,189,335],[1,2,
4,6,7,8,15,19,40,41,42,43,44,46,95,96,98,183,185,190,191,336],[1,2,4,6,8,15,
40,41,43,44,45,95,97,99,184,186,191,192,337],[1,2,3,4,5,6,16,18,20,22,23,28,
31,32,38,39,100,104,106,113,117,134,145,338],[1,2,3,4,5,16,17,20,24,25,28,29,
30,38,100,105,107,114,116,149,154,339],[1,2,3,4,5,6,16,17,18,22,23,24,28,29,
31,35,36,38,39,101,104,105,108,128,129,145,150,172,340],[1,2,3,4,5,16,17,21,
23,24,28,29,30,36,38,101,103,105,120,122,144,149,341],[1,2,3,4,5,6,16,18,21,
22,25,27,30,31,38,102,104,107,119,124,130,153,342],[1,2,3,4,5,6,16,17,18,21,
23,24,27,29,32,38,39,102,105,106,120,123,142,148,343],[1,2,3,4,5,6,16,18,21,
22,30,31,38,103,104,118,124,135,344],[1,2,3,4,5,6,7,8,16,18,19,22,31,38,42,43,
44,45,46,104,109,110,138,139,181,182,345],[1,2,3,4,5,6,16,18,22,23,31,32,33,
38,39,40,104,106,111,125,136,146,158,346],[1,2,3,4,5,6,16,18,22,31,34,38,41,
104,112,126,137,167,347],[1,2,3,4,5,6,16,18,22,25,30,31,38,104,107,131,132,
156,348],[1,2,3,4,5,6,16,17,18,23,24,25,29,30,32,38,39,105,106,107,140,143,
151,155,349],[1,2,4,5,6,17,18,34,35,36,39,41,108,112,165,173,174,350],[1,2,4,
6,7,8,18,19,33,40,42,43,46,109,111,159,162,183,351],[1,2,4,6,7,8,18,19,34,41,
42,43,46,109,112,169,188,190,352],[1,2,4,6,7,8,18,19,33,40,42,43,44,45,46,109,
110,111,160,163,184,185,353],[1,2,4,6,7,8,18,19,34,41,42,43,44,45,46,109,110,
112,168,171,187,191,354],[1,2,4,6,18,33,40,44,45,110,111,161,164,186,355],[1,
2,4,6,18,34,41,44,45,110,112,170,189,192,356],[1,2,4,6,18,34,41,112,193,194,
357],[1,3,4,20,22,23,33,113,125,358],[1,3,4,20,21,22,23,34,113,118,126,359],[
1,3,4,20,22,23,26,29,35,113,127,128,360],[1,3,4,5,20,22,23,24,25,28,36,113,
114,129,132,140,361],[1,3,4,20,22,23,27,30,113,130,131,362],[1,3,4,20,22,23,
26,27,29,30,113,115,116,127,130,141,142,363],[1,3,4,20,22,23,29,30,35,113,116,
128,131,143,364],[1,3,4,20,21,22,23,25,113,119,132,365],[1,3,4,20,22,23,29,30,
37,113,116,133,135,144,366],[1,3,4,5,6,20,22,23,28,31,32,39,40,113,117,134,
136,146,367],[1,3,4,20,22,23,30,41,113,135,137,368],[1,3,5,6,20,24,25,26,27,
31,32,114,115,117,147,148,152,153,369],[1,3,4,5,6,20,24,25,29,30,31,32,36,39,
114,116,117,150,151,155,156,370],[1,3,4,21,22,23,33,118,125,371],[1,3,4,21,22,
25,26,29,118,119,127,372],[1,3,4,5,21,22,24,28,30,36,118,129,131,373],[1,3,4,
21,22,25,27,30,118,130,132,374],[1,3,4,5,21,22,24,26,28,29,36,118,121,122,127,
129,375],[1,3,4,21,22,23,25,29,35,118,128,132,376],[1,3,4,21,22,25,30,118,119,
131,377],[1,3,4,5,6,21,22,28,29,31,32,37,39,118,122,123,133,134,378],[1,3,4,5,
6,21,22,28,31,32,39,41,118,134,137,379],[1,3,4,6,21,22,30,32,40,118,135,136,
380],[1,3,4,5,21,22,23,24,25,28,33,36,119,120,125,129,140,381],[1,3,4,21,22,
25,27,30,34,119,126,130,382],[1,3,4,5,6,21,22,25,26,28,29,31,32,39,119,121,
123,127,134,152,154,383],[1,3,4,5,21,22,24,25,28,29,36,37,119,122,129,133,154,
384],[1,3,4,6,21,22,23,25,29,32,35,40,119,123,128,136,155,385],[1,3,4,5,6,21,
22,25,28,30,31,32,39,119,124,131,134,156,386],[1,3,4,21,22,25,41,119,137,
387],[1,3,4,21,22,25,30,119,132,135,388],[1,3,4,5,6,21,23,24,26,28,30,31,38,
39,120,121,124,141,145,147,149,389],[1,3,4,5,6,21,23,24,29,30,31,32,36,39,40,
120,123,124,143,146,150,151,390],[1,3,4,22,23,26,29,30,33,125,127,131,141,143,
391],[1,3,4,22,23,27,29,30,33,35,125,128,130,142,143,392],[1,3,4,22,23,29,33,
37,41,125,133,137,157,393],[1,3,4,5,6,22,23,28,31,32,33,38,39,40,125,134,145,
146,158,394],[1,3,4,22,23,30,33,125,135,395],[1,3,4,7,22,23,33,42,45,125,138,
159,161,163,396],[1,3,4,8,22,23,33,43,44,125,139,160,162,164,397],[1,3,4,22,
23,33,45,125,161,398],[1,3,4,22,23,33,44,125,164,399],[1,3,4,22,25,26,29,34,
126,127,132,400],[1,3,4,5,22,23,24,28,29,34,35,36,126,128,129,165,401],[1,3,4,
6,22,29,32,34,37,40,126,133,136,166,402],[1,3,4,5,6,22,28,30,31,32,34,39,126,
134,135,403],[1,3,4,7,8,22,34,42,43,44,45,126,138,139,168,169,170,171,404],[1,
3,4,22,26,29,37,127,133,405],[1,3,4,22,26,27,29,30,127,130,135,406],[1,3,4,5,
6,22,24,26,28,29,31,32,36,39,127,129,134,147,150,407],[1,3,4,22,23,26,29,30,
35,127,128,135,141,144,408],[1,3,4,22,26,29,30,41,127,131,137,409],[1,3,4,6,
22,25,26,29,32,40,127,132,136,152,155,410],[1,3,4,22,23,27,29,30,35,37,128,
130,133,142,144,411],[1,3,4,22,23,29,35,41,128,137,173,412],[1,3,4,22,23,29,
30,35,128,131,135,413],[1,3,4,5,6,22,23,25,28,29,31,32,35,39,128,132,134,154,
155,414],[1,3,4,5,6,22,24,27,28,30,32,36,40,129,130,136,148,151,415],[1,3,4,5,
22,24,28,36,41,129,137,174,416],[1,3,4,5,6,22,24,28,30,31,32,36,39,129,131,
134,149,151,417],[1,3,4,5,22,24,25,28,30,36,129,132,135,418],[1,3,4,22,27,30,
41,130,137,419],[1,3,4,22,27,30,130,131,135,420],[1,3,4,5,6,22,25,27,28,30,31,
32,39,130,132,134,153,156,421],[1,3,4,22,29,30,37,131,133,422],[1,3,4,22,25,
29,37,132,133,423],[1,3,4,7,22,29,37,42,45,133,138,175,178,179,424],[1,3,4,8,
22,29,37,43,44,133,139,176,177,180,425],[1,3,4,22,29,37,45,133,178,426],[1,3,
4,22,29,37,44,133,177,427],[1,3,4,6,7,8,22,32,40,42,43,44,45,46,136,138,139,
183,184,185,186,428],[1,3,4,7,22,41,42,45,137,138,187,190,192,429],[1,3,4,8,
22,41,43,44,137,139,188,189,191,430],[1,3,4,22,41,137,194,431],[1,3,4,22,41,
137,193,432],[1,3,4,5,6,23,24,25,26,30,31,32,39,40,140,141,146,147,151,152,
156,433],[1,3,4,5,6,23,24,25,27,29,31,32,36,39,40,140,142,146,148,150,153,155,
434],[1,3,4,5,6,23,24,25,28,29,30,31,36,38,39,140,143,145,149,150,154,156,
435],[1,4,7,33,37,41,42,45,157,159,163,175,179,187,190,436],[1,4,8,33,37,41,
43,44,157,160,162,176,180,188,191,437],[1,4,8,33,37,41,43,44,157,160,164,177,
180,189,191,438],[1,4,7,33,37,41,42,45,157,161,163,178,179,187,192,439],[1,4,
5,6,7,33,38,39,40,42,44,158,159,164,181,185,440],[1,4,5,6,7,8,33,38,39,40,42,
43,44,45,46,158,160,163,181,182,183,186,441],[1,4,5,6,33,38,39,40,44,45,158,
161,164,442],[1,4,5,6,8,33,38,39,40,43,45,158,161,162,182,184,443],[1,4,5,34,
35,36,38,41,165,167,172,173,174,444],[1,4,6,7,8,34,37,40,42,43,44,46,166,168,
169,175,180,183,185,445],[1,4,6,7,8,34,37,40,42,43,45,46,166,169,171,176,179,
183,184,446],[1,4,6,7,34,37,40,42,44,45,166,168,170,177,179,185,186,447],[1,4,
6,8,34,37,40,43,44,45,166,170,171,178,180,184,186,448],[1,4,5,7,34,38,41,42,
44,167,168,181,189,190,449],[1,4,5,7,8,34,38,41,42,43,44,45,167,169,170,181,
182,187,191,450],[1,4,5,8,34,38,41,43,45,167,171,182,188,192,451],[1,4,5,34,
38,41,167,193,194,452],[1,4,7,35,41,42,173,190,193,453],[1,4,35,41,45,173,192,
193,454],[1,4,8,35,41,43,173,188,194,455],[1,4,35,41,44,173,189,194,456],[1,4,
5,7,36,41,42,174,190,194,457],[1,4,5,36,41,45,174,192,194,458],[1,4,5,8,36,41,
43,174,188,193,459],[1,4,5,36,41,44,174,189,193,460],[1,2,9,10,50,54,195,
461],[1,2,9,11,50,54,197,462],[1,2,9,10,12,50,57,198,463],[1,2,9,10,50,59,195,
464],[1,3,9,10,51,53,195,465],[1,2,9,10,54,57,195,466],[1,4,9,10,55,60,195,
467],[1,7,9,10,62,63,195,468],[1,8,9,10,61,64,195,469],[1,3,9,11,51,58,197,
470],[1,5,9,11,12,52,65,196,471],[1,5,9,11,52,56,197,472],[1,5,9,12,13,52,66,
199,473],[1,3,9,11,12,51,67,196,474],[1,5,9,11,12,52,69,72,196,475],[1,3,9,11,
12,53,58,196,476],[1,4,9,11,12,55,68,73,196,477],[1,5,9,11,12,56,65,66,196,
478],[1,5,9,11,12,56,69,196,479],[1,3,9,11,53,67,197,480],[1,4,9,11,55,68,197,
481],[1,5,9,11,65,69,197,482],[1,6,9,11,70,71,197,483],[1,2,9,10,12,54,59,198,
484],[1,4,9,10,12,55,60,73,198,485],[1,4,9,12,13,55,73,75,199,486],[1,5,9,12,
13,56,72,199,487],[1,2,10,13,57,59,202,488],[1,2,10,13,57,59,204,489],[1,5,10,
11,12,65,72,200,490],[1,4,10,11,12,60,68,73,200,491],[1,5,10,11,12,66,69,200,
492],[1,4,10,12,13,60,73,75,201,493],[1,7,10,12,13,62,79,201,494],[1,7,10,12,
13,63,78,201,495],[1,4,10,13,60,75,202,496],[1,8,10,13,61,76,202,497],[1,7,10,
13,62,63,202,498],[1,8,10,13,64,77,202,499],[1,7,10,13,78,79,202,500],[1,6,10,
13,74,80,202,501],[1,4,10,12,13,60,73,75,203,502],[1,8,10,12,13,61,77,203,
503],[1,8,10,12,13,64,76,203,504],[1,7,10,13,63,79,204,505],[1,8,10,13,61,64,
204,506],[1,4,10,13,60,75,204,507],[1,7,10,13,62,78,204,508],[1,8,10,13,76,77,
204,509],[1,6,10,13,74,80,204,510],[1,3,11,13,58,67,205,511],[1,6,11,13,70,74,
205,512],[1,6,11,13,70,71,205,513],[1,6,11,12,13,71,74,206,514],[1,4,11,13,68,
75,205,515],[1,8,11,13,76,77,205,516],[1,7,11,13,78,79,205,517],[1,6,11,13,71,
80,205,518],[1,4,11,12,13,68,73,75,206,519],[1,6,11,12,13,70,80,206,520],[1,5,
12,66,72,207,521],[1,5,12,66,72,208,522],[1,4,12,73,207,523],[1,4,12,73,208,
524],[1,3,20,47,209,525],[1,3,4,22,47,209,210,211,526],[1,3,4,23,47,209,211,
527],[1,3,26,47,209,528],[1,3,27,47,209,529],[1,3,4,29,47,209,211,530],[1,3,
30,47,209,531],[1,3,21,47,210,532],[1,3,25,47,210,533],[1,4,34,47,211,534],[1,
4,34,48,212,535],[1,4,45,48,212,536],[1,4,8,43,48,212,213,214,537],[1,4,34,49,
215,538],[1,4,7,42,49,215,216,217,539],[1,4,44,49,215,540],[1,2,3,9,14,20,21,
50,51,81,218,223,224,541],[1,2,3,5,9,14,16,26,50,51,52,86,218,219,225,542],[1,
2,3,5,9,14,27,28,50,51,52,87,218,226,227,543],[1,2,3,4,9,14,15,22,50,51,53,54,
55,82,218,220,221,228,229,544],[1,2,3,4,9,14,21,23,50,51,55,83,218,230,231,
545],[1,2,3,4,5,9,14,15,16,17,29,50,51,54,55,56,88,218,221,222,232,233,546],[
1,2,3,5,9,14,28,30,50,51,56,89,218,234,235,547],[1,2,3,5,9,16,20,28,50,51,52,
100,219,223,226,548],[1,2,3,5,9,16,21,27,50,51,52,102,219,224,227,549],[1,2,3,
4,5,9,14,16,17,22,24,50,51,52,53,54,55,56,84,219,220,222,228,232,236,237,
550],[1,2,3,4,5,9,14,15,16,17,29,50,51,52,54,55,88,219,221,229,233,237,551],[
1,2,3,4,5,9,16,17,23,28,36,50,51,52,55,56,101,219,222,230,234,238,552],[1,2,3,
5,9,16,21,30,50,51,52,103,219,231,235,553],[1,3,9,20,26,27,51,115,223,225,227,
554],[1,3,4,9,20,22,23,51,53,55,113,223,228,230,555],[1,2,3,9,14,20,21,51,54,
81,223,229,231,556],[1,2,3,5,9,16,20,28,51,54,56,100,223,232,234,557],[1,3,4,
9,20,29,30,51,55,116,223,233,235,558],[1,3,5,9,21,26,28,51,52,121,224,225,226,
559],[1,3,4,9,21,22,51,53,55,118,224,228,231,560],[1,2,3,4,9,14,21,23,51,54,
55,83,224,229,230,561],[1,2,3,5,9,16,21,30,51,54,56,103,224,232,235,562],[1,3,
4,5,9,21,28,29,51,55,56,122,224,233,234,563],[1,3,4,9,22,26,29,51,53,55,127,
225,228,233,564],[1,2,3,5,9,14,16,26,51,54,56,86,225,229,232,565],[1,3,4,9,23,
26,30,51,55,141,225,230,235,566],[1,3,5,9,21,26,28,51,56,121,225,231,234,
567],[1,3,4,5,9,22,24,28,36,51,52,53,55,56,129,226,228,234,236,238,568],[1,2,
3,5,9,14,28,30,51,52,54,89,226,229,235,569],[1,2,3,4,5,9,16,17,23,28,36,51,52,
54,55,56,101,226,230,232,237,238,570],[1,3,4,5,9,21,28,29,51,52,55,122,226,
231,233,571],[1,3,4,9,22,27,30,51,53,55,130,227,228,235,572],[1,2,3,5,9,14,27,
28,51,54,56,87,227,229,234,573],[1,3,4,9,23,27,29,51,55,142,227,230,233,574],[
1,2,3,5,9,16,21,27,51,54,56,102,227,231,232,575],[1,2,3,5,11,14,16,26,65,86,
260,576],[1,2,3,5,12,14,16,26,66,86,261,577],[1,2,4,6,13,15,18,37,74,93,269,
578],[1,2,3,5,9,16,20,28,54,100,242,579],[1,2,3,5,10,16,20,28,57,100,243,
580],[1,2,4,7,8,10,15,19,42,43,57,59,60,61,62,63,64,96,239,240,241,263,264,
265,266,581],[1,2,4,6,10,18,33,40,57,111,267,582],[1,2,3,9,14,20,21,50,81,242,
583],[1,3,4,9,20,22,23,51,113,242,584],[1,3,5,9,20,24,25,52,114,242,585],[1,3,
9,20,26,27,53,115,242,586],[1,3,4,9,20,29,30,55,116,242,587],[1,3,5,6,9,20,31,
32,56,117,242,588],[1,2,3,10,14,20,21,59,81,243,589],[1,3,4,10,20,29,30,60,
116,243,590],[1,3,5,11,20,24,25,58,65,114,244,246,247,591],[1,3,4,11,20,22,23,
58,67,68,113,244,248,249,592],[1,3,5,11,20,24,25,58,69,114,244,250,251,593],[
1,3,11,20,26,27,58,115,244,252,253,594],[1,3,4,11,20,29,30,58,68,116,244,254,
255,595],[1,3,5,6,11,20,31,32,58,65,70,117,244,256,257,596],[1,3,5,6,11,20,31,
32,58,69,71,117,244,258,259,597],[1,3,5,12,20,24,25,72,114,245,598],[1,3,4,12,
20,29,30,73,116,245,599],[1,3,5,6,12,20,31,32,66,117,245,600],[1,3,4,11,22,26,
29,58,127,260,601],[1,3,4,5,11,22,24,28,36,58,65,67,68,69,129,246,248,250,270,
271,602],[1,3,4,5,11,23,24,25,58,65,68,140,246,249,251,603],[1,3,5,6,11,24,26,
31,58,65,70,147,246,252,256,604],[1,3,5,6,11,24,27,32,58,65,70,148,246,253,
257,605],[1,3,4,5,6,11,24,29,31,36,39,58,65,68,69,71,150,246,254,258,271,272,
606],[1,3,5,6,11,24,30,32,58,65,71,151,246,255,259,607],[1,3,5,6,11,24,26,31,
70,147,260,608],[1,3,5,6,13,24,26,31,74,147,262,609],[1,3,4,11,22,25,58,67,68,
132,247,248,251,610],[1,3,4,5,11,23,24,25,58,68,69,140,247,249,250,611],[1,3,
6,11,25,26,32,58,70,152,247,252,257,612],[1,3,5,6,11,25,27,31,58,65,70,153,
247,253,256,613],[1,3,4,6,11,25,29,32,58,68,71,155,247,254,259,614],[1,3,5,6,
11,25,30,31,58,69,71,156,247,255,258,615],[1,3,4,11,22,26,29,58,67,68,127,248,
252,254,616],[1,3,4,11,22,27,30,58,67,68,130,248,253,255,617],[1,3,4,5,6,11,
22,28,31,32,39,58,65,67,68,69,70,71,134,248,256,258,270,272,274,275,618],[1,3,
4,6,11,22,32,40,58,67,68,70,71,136,248,257,259,274,276,619],[1,3,4,11,23,26,
30,58,68,141,249,252,255,620],[1,3,4,11,23,27,29,58,68,142,249,253,254,621],[
1,3,4,5,6,11,23,31,32,39,40,58,65,68,70,71,146,249,256,259,272,276,622],[1,3,
4,5,6,11,23,31,32,39,40,58,68,69,70,71,146,249,257,258,275,276,623],[1,3,5,6,
11,24,26,31,58,69,71,147,250,252,258,624],[1,3,5,6,11,24,27,32,58,69,71,148,
250,253,259,625],[1,3,4,5,6,11,24,29,31,36,39,58,65,68,69,70,150,250,254,256,
271,275,626],[1,3,5,6,11,24,30,32,58,69,70,151,250,255,257,627],[1,3,6,11,25,
26,32,58,71,152,251,252,259,628],[1,3,5,6,11,25,27,31,58,69,71,153,251,253,
258,629],[1,3,4,6,11,25,29,32,58,68,70,155,251,254,257,630],[1,3,5,6,11,25,30,
31,58,65,70,156,251,255,256,631],[1,3,11,20,26,27,67,115,260,632],[1,3,5,11,
21,26,28,69,121,260,633],[1,3,4,11,23,26,30,68,141,260,634],[1,3,6,11,25,26,
32,71,152,260,635],[1,3,5,12,21,26,28,72,121,261,636],[1,3,4,12,23,26,30,73,
141,261,637],[1,3,4,13,23,26,30,75,141,262,638],[1,3,6,13,25,26,32,80,152,262,
639],[1,2,4,10,15,33,34,59,92,267,640],[1,4,10,33,37,41,60,157,267,641],[1,4,
7,10,33,42,63,159,267,642],[1,4,8,10,33,43,44,64,160,267,643],[1,4,8,10,33,43,
61,162,267,644],[1,4,7,10,33,42,45,62,163,267,645],[1,4,5,12,34,35,36,72,165,
268,646],[1,4,5,12,35,36,38,66,172,268,647],[1,4,12,35,41,73,173,268,648],[1,
4,7,13,37,42,79,175,269,649],[1,4,8,13,37,43,76,176,269,650],[1,4,13,33,37,41,
75,157,269,651],[1,4,6,13,34,37,40,80,166,269,652],[1,4,7,13,37,42,45,78,179,
269,653],[1,4,8,13,37,43,44,77,180,269,654],[1,4,6,7,8,13,40,42,43,46,74,75,
76,77,78,79,80,183,277,278,279,280,281,282,283,655],[1,47,48,49,656],[1,9,10,
11,12,195,196,197,198,200,657],[1,9,10,12,13,195,198,199,201,202,203,204,
658],[1,9,11,12,13,196,197,199,205,206,659],[1,9,10,11,12,13,196,198,199,200,
201,203,206,207,208,660],[1,10,11,12,13,200,201,202,203,204,205,206,661],[1,3,
9,47,51,210,284,662],[1,3,9,47,53,209,284,663],[1,4,9,47,55,211,284,664],[1,3,
11,47,58,210,285,665],[1,3,11,47,67,209,285,666],[1,4,11,47,68,211,285,667],[
1,2,3,4,14,15,20,21,22,23,33,34,81,82,83,92,113,118,125,126,286,291,358,359,
371,668],[1,2,3,4,5,14,15,16,17,20,21,22,23,24,25,26,29,35,81,82,83,84,85,86,
88,113,114,118,119,120,127,128,286,287,292,293,300,360,372,669],[1,2,3,4,5,14,
15,20,21,22,23,24,25,27,28,30,36,81,82,83,87,89,113,114,118,129,130,131,132,
140,286,294,295,361,362,373,374,670],[1,2,3,4,5,14,15,16,17,20,21,22,23,24,26,
27,28,29,30,36,81,82,83,84,86,87,88,89,100,101,102,103,113,115,116,118,121,
122,127,129,130,141,142,286,288,289,292,294,301,302,305,307,363,375,671],[1,2,
3,4,14,15,20,21,22,23,25,29,30,35,81,82,83,85,113,116,118,119,128,131,132,143,
286,293,295,364,365,376,377,672],[1,2,3,4,5,6,14,15,16,17,18,20,21,22,23,28,
29,30,31,32,37,38,39,81,82,83,88,89,90,91,93,94,100,103,104,106,113,116,117,
118,122,123,124,133,134,135,144,145,286,289,290,296,297,303,304,338,344,366,
378,673],[1,2,3,4,5,6,14,15,20,21,22,23,28,30,31,32,39,40,41,81,82,83,89,91,
95,113,117,118,134,135,136,137,146,286,297,298,367,368,379,380,674],[1,2,3,4,
5,14,16,17,20,21,22,23,24,25,28,33,36,81,84,85,100,101,113,114,119,120,125,
129,132,140,287,305,306,358,361,365,381,675],[1,2,3,4,5,14,16,17,20,21,22,23,
24,25,27,30,34,81,84,85,102,103,113,114,118,119,120,126,130,131,287,307,308,
359,362,377,382,676],[1,2,3,4,5,6,14,16,17,18,20,21,22,23,24,25,26,27,28,29,
30,31,32,38,39,81,84,85,86,87,90,91,100,102,104,105,106,107,113,114,115,116,
117,119,120,121,123,124,127,130,134,141,142,145,147,148,149,152,153,154,287,
288,290,309,310,317,318,338,339,342,343,363,369,383,389,677],[1,2,3,4,5,14,15,
16,17,20,21,22,23,24,25,28,29,30,36,37,38,81,84,85,88,89,94,100,101,103,105,
107,113,114,116,119,120,122,129,133,135,144,149,154,287,289,305,311,312,315,
319,339,341,366,384,678],[1,2,3,4,5,6,14,16,17,18,20,21,22,23,24,25,28,29,30,
31,32,35,36,39,40,81,84,85,90,91,101,106,108,113,114,116,117,119,120,123,124,
128,131,134,136,143,146,150,151,155,156,287,290,313,314,320,364,367,370,385,
386,390,679],[1,2,3,4,5,14,16,17,20,21,22,23,24,25,30,41,81,84,85,103,107,113,
114,119,120,132,135,137,287,315,316,365,368,387,388,680],[1,2,3,4,5,14,15,16,
17,22,23,24,25,26,29,30,33,34,82,84,85,86,88,92,125,126,127,131,132,140,141,
143,291,292,295,306,308,391,400,681],[1,2,3,4,5,14,15,21,22,23,24,25,27,28,29,
30,33,34,35,36,82,83,85,87,89,92,119,120,125,126,128,129,130,140,142,143,165,
291,293,294,381,382,392,401,682],[1,2,3,4,5,6,14,15,16,17,18,22,23,29,31,32,
33,34,37,38,39,40,41,82,88,90,92,93,94,95,104,106,111,112,125,126,133,136,137,
146,157,158,166,167,291,296,298,321,322,346,347,393,402,683],[1,2,3,4,5,6,14,
15,22,23,28,30,31,32,33,34,38,39,40,82,89,91,92,125,126,134,135,145,146,158,
291,297,394,395,403,684],[1,2,3,4,7,8,14,15,19,22,23,33,34,42,43,44,45,82,92,
96,97,98,99,125,126,138,139,159,160,161,162,163,164,168,169,170,171,291,299,
323,324,325,326,396,397,404,685],[1,2,3,4,14,15,22,23,33,34,44,45,82,92,125,
126,161,164,291,398,399,686],[1,2,3,4,5,6,14,15,16,17,18,22,24,26,29,31,37,38,
82,84,86,88,90,93,94,104,105,127,133,147,292,296,309,311,405,687],[1,2,3,4,5,
6,14,15,16,17,22,24,26,27,28,29,30,31,32,36,39,82,84,86,87,88,89,91,127,129,
130,134,135,147,148,149,150,292,294,297,310,312,406,407,688],[1,2,3,4,5,6,14,
15,16,17,18,21,22,23,24,25,26,28,29,30,31,32,35,36,39,82,83,84,85,86,88,89,90,
91,101,103,106,107,108,119,121,123,127,128,134,135,141,144,150,152,154,292,
293,297,301,303,313,315,317,319,383,408,689],[1,2,3,4,5,6,14,15,16,17,22,24,
25,26,29,30,32,40,41,82,84,86,88,91,95,127,131,132,136,137,151,152,155,292,
295,298,314,316,409,410,690],[1,2,3,4,5,6,14,15,16,17,18,21,22,23,24,25,27,28,
29,30,31,35,36,37,38,39,82,83,85,87,88,89,90,93,94,101,102,104,105,107,108,
119,122,124,128,129,130,133,142,144,145,150,153,154,172,293,294,296,302,304,
318,319,340,342,384,411,691],[1,2,3,4,6,14,15,21,22,23,25,29,32,35,40,41,82,
83,85,95,119,123,128,136,137,155,173,293,298,385,387,412,692],[1,2,3,4,5,6,14,
15,21,22,23,25,28,29,30,31,32,35,39,82,83,85,89,91,119,124,128,131,132,134,
135,154,155,156,293,295,297,386,388,413,414,693],[1,2,3,4,5,6,14,15,22,24,27,
28,30,32,36,40,41,82,87,89,95,129,130,136,137,148,151,174,294,298,415,416,419,
694],[1,2,3,4,5,6,14,15,22,24,25,27,28,30,31,32,36,39,82,87,89,91,129,130,131,
132,134,135,149,151,153,156,294,295,297,417,418,420,421,695],[1,2,3,4,5,6,14,
15,16,17,18,22,25,29,30,31,37,38,82,88,90,93,94,104,107,131,132,133,156,295,
296,348,422,423,696],[1,2,3,4,5,6,7,8,14,15,16,17,18,19,22,29,31,37,38,42,43,
44,45,46,82,88,90,93,94,96,97,98,99,104,109,110,133,138,139,175,176,177,178,
179,180,181,182,296,299,327,328,329,330,331,332,345,424,425,697],[1,2,3,4,5,6,
14,15,16,17,18,22,29,31,37,38,44,45,82,88,90,93,94,97,104,110,133,177,178,296,
328,333,426,427,698],[1,2,3,4,6,7,8,14,15,19,22,32,40,41,42,43,44,45,46,82,95,
96,97,98,99,136,137,138,139,183,184,185,186,187,188,189,190,191,192,298,299,
334,335,336,337,428,429,430,699],[1,2,3,4,6,14,15,22,32,40,41,82,95,136,137,
193,194,298,431,432,700],[1,2,3,4,5,14,16,17,20,21,22,23,24,28,29,30,34,35,36,
83,84,100,101,113,116,118,120,126,128,129,131,143,165,300,305,308,359,364,373,
401,701],[1,2,3,4,5,14,16,17,21,22,23,24,25,27,29,30,33,35,83,84,85,102,103,
118,120,125,128,130,132,140,142,143,300,306,307,371,374,376,392,702],[1,2,3,4,
5,6,14,16,17,18,21,22,23,24,26,28,29,30,31,35,36,38,39,83,84,86,89,90,101,103,
104,105,108,118,120,121,122,124,127,128,129,135,141,144,145,147,149,150,172,
300,301,304,309,312,340,341,344,375,389,408,703],[1,2,3,4,5,6,14,15,16,17,18,
21,22,23,24,27,28,29,30,31,32,35,36,37,38,39,83,84,87,88,90,91,94,101,102,103,
105,106,108,118,120,122,123,128,130,133,134,142,144,148,149,150,300,302,303,
307,310,311,313,341,343,378,411,704],[1,2,3,4,5,6,14,16,17,18,21,22,23,24,25,
28,29,31,32,35,36,39,41,83,84,90,101,106,108,118,120,128,132,134,137,150,154,
155,173,300,313,316,376,379,412,414,705],[1,2,3,4,5,6,14,16,17,21,22,23,24,25,
29,30,32,35,40,83,84,91,103,107,118,119,120,123,128,131,135,136,151,155,300,
314,315,377,380,385,413,706],[1,2,3,4,5,6,14,16,17,18,20,22,23,24,26,28,29,31,
32,35,36,38,39,84,86,90,100,101,104,105,106,108,113,117,127,128,129,134,145,
147,150,172,305,309,313,338,340,360,407,707],[1,2,3,4,5,6,14,16,17,20,22,23,
24,27,28,30,31,32,36,39,40,84,87,91,100,101,113,117,129,130,131,134,136,146,
148,149,151,305,310,314,362,367,415,417,708],[1,2,3,4,5,14,16,17,20,22,23,24,
25,28,30,36,41,84,89,100,101,113,114,129,132,135,137,140,149,174,305,312,316,
361,368,416,418,709],[1,2,3,4,5,6,14,16,17,18,22,23,24,25,26,29,30,31,32,33,
38,39,40,84,85,86,90,91,104,105,106,107,111,125,127,131,132,136,140,141,143,
146,147,151,152,155,156,158,306,309,314,317,320,346,348,349,391,410,433,710],[
1,2,3,4,5,6,14,16,17,18,22,23,24,25,27,28,29,30,31,32,33,35,36,38,39,40,84,85,
87,90,91,101,106,108,125,128,130,132,134,140,142,143,145,146,148,149,150,153,
154,155,156,158,306,310,313,318,320,392,394,414,421,434,435,711],[1,2,3,4,5,
14,15,16,17,22,23,24,25,29,33,37,38,41,84,85,88,94,105,125,132,133,137,140,
157,306,311,316,393,423,712],[1,2,3,4,5,14,16,17,21,22,23,24,25,28,30,33,36,
84,85,89,103,107,119,120,125,129,132,135,140,149,306,312,315,381,388,395,418,
713],[1,2,3,4,5,6,14,16,17,18,21,22,24,25,26,27,29,30,31,38,84,86,90,102,103,
104,105,107,118,119,124,127,130,135,147,153,307,309,315,342,344,372,406,714],[
1,2,3,4,5,6,14,16,17,21,22,24,25,27,28,30,31,32,39,41,84,87,91,102,103,118,
130,132,134,137,148,149,153,156,307,310,316,374,379,419,421,715],[1,2,3,4,5,6,
14,16,17,21,22,24,27,28,30,32,36,40,84,89,91,102,103,118,129,130,131,135,136,
148,149,151,307,312,314,373,380,415,420,716],[1,2,3,4,5,6,14,16,17,18,22,24,
25,26,29,30,31,34,38,41,84,86,90,104,105,107,112,126,127,131,132,137,147,156,
167,308,309,316,347,348,400,409,717],[1,2,3,4,5,6,14,16,17,21,22,24,25,27,28,
30,31,32,34,39,84,87,91,103,107,119,124,126,130,131,134,135,148,149,156,308,
310,315,382,386,403,420,718],[1,2,3,4,5,6,14,15,16,17,22,24,29,30,32,34,37,38,
40,84,88,91,94,105,126,131,133,136,151,166,308,311,314,402,422,719],[1,2,3,4,
5,6,14,16,17,18,22,23,24,28,29,30,31,32,34,35,36,39,84,89,90,101,106,108,126,
128,129,131,134,135,149,150,151,165,308,312,313,401,403,413,417,720],[1,2,3,4,
5,7,14,15,16,17,22,24,29,37,38,42,44,45,84,88,94,98,105,133,138,175,177,178,
179,181,311,331,333,424,427,721],[1,2,3,4,5,8,14,15,16,17,22,24,29,37,38,43,
44,45,84,88,94,99,105,133,139,176,177,178,180,182,311,332,333,425,426,722],[1,
2,4,6,7,8,15,18,19,33,34,37,40,41,42,43,44,45,46,92,93,95,96,98,99,109,110,
111,112,157,159,160,162,163,166,168,169,171,175,176,179,180,183,184,185,187,
188,190,191,321,323,325,327,329,334,336,351,352,353,354,436,437,445,446,723],[
1,2,4,6,7,8,15,18,19,33,34,37,40,41,42,43,44,45,46,92,93,95,97,98,99,109,110,
111,112,157,160,161,163,164,166,168,170,171,177,178,179,180,184,185,186,187,
189,191,192,321,324,326,328,329,335,337,353,354,355,356,438,439,447,448,724],[
1,2,4,5,6,7,8,15,17,19,33,34,37,38,39,40,41,42,43,44,45,46,92,94,95,96,97,98,
157,158,159,160,163,164,166,167,168,169,170,175,177,179,180,181,182,183,185,
186,187,189,190,191,322,323,326,330,331,335,336,436,438,440,441,445,447,449,
450,725],[1,2,4,5,6,7,8,15,17,19,33,34,37,38,39,40,41,42,43,44,45,46,92,94,95,
96,97,99,157,158,160,161,162,163,166,167,169,170,171,176,178,179,180,181,182,
183,184,186,187,188,191,192,322,324,325,330,332,334,337,437,439,441,443,446,
448,450,451,726],[1,2,3,4,5,6,16,18,20,22,23,28,31,32,33,38,39,40,100,104,106,
111,113,117,125,134,136,145,146,158,338,346,358,367,394,727],[1,2,3,4,5,6,16,
18,20,21,22,23,25,27,28,30,31,32,38,39,100,102,104,106,107,113,117,119,124,
130,131,132,134,145,153,156,338,342,348,362,365,386,421,728],[1,2,3,4,5,6,16,
17,18,20,22,23,24,25,28,29,30,31,32,35,36,38,39,100,101,104,105,106,107,108,
113,114,116,117,128,129,131,132,134,140,143,145,149,150,151,154,155,156,172,
338,339,340,348,349,361,364,370,414,417,435,729],[1,2,3,4,5,6,16,18,20,21,22,
23,28,30,31,32,34,38,39,41,100,103,104,106,112,113,117,118,124,126,134,135,
137,145,167,338,344,347,359,368,379,403,730],[1,2,3,4,5,6,16,17,18,21,22,23,
24,25,27,28,29,30,31,32,33,35,36,38,39,40,101,102,104,105,106,107,108,111,119,
120,123,124,125,128,129,130,136,140,142,143,145,146,148,150,151,153,155,158,
172,340,342,343,346,349,381,385,390,392,415,434,731],[1,2,3,4,5,6,16,17,18,22,
23,24,28,29,31,34,35,36,38,39,41,101,104,105,108,112,126,128,129,137,145,150,
165,167,172,173,174,340,347,350,401,412,416,444,732],[1,2,3,4,5,6,16,17,18,21,
22,23,24,25,28,29,30,31,35,36,38,39,101,103,104,105,107,108,118,124,128,129,
131,132,135,145,150,156,172,340,344,348,373,376,413,418,733],[1,2,3,4,5,6,16,
18,21,22,25,27,30,31,34,38,41,102,104,107,112,119,124,126,130,137,153,167,342,
347,382,387,419,734],[1,2,3,4,5,6,16,18,21,22,25,27,30,31,38,102,103,104,107,
118,119,124,130,131,132,135,153,156,342,344,348,374,377,388,420,735],[1,2,3,4,
5,6,16,18,21,22,23,30,31,32,33,38,39,40,103,104,106,111,118,124,125,135,136,
146,158,344,346,371,380,395,736],[1,2,3,4,5,6,7,8,16,18,19,22,23,31,32,33,38,
39,40,42,43,44,45,46,104,106,109,110,111,125,136,138,139,146,158,159,160,161,
162,163,164,181,182,183,184,185,186,345,346,351,353,355,396,397,428,440,441,
443,737],[1,2,3,4,5,6,7,8,16,18,19,22,31,34,38,41,42,43,44,45,46,104,109,110,
112,126,137,138,139,167,168,169,170,171,181,182,187,188,189,190,191,192,345,
347,352,354,356,404,429,430,449,450,451,738],[1,2,3,4,5,6,16,18,22,23,31,32,
33,38,39,40,44,45,104,106,110,111,125,136,146,158,161,164,186,346,355,398,399,
442,739],[1,2,3,4,5,6,16,18,22,31,34,38,41,104,112,126,137,167,193,194,347,
357,431,432,452,740],[1,2,4,5,6,7,8,17,18,19,34,35,36,39,41,42,43,46,108,109,
112,165,169,173,174,188,190,193,194,350,352,357,453,455,457,459,741],[1,2,4,5,
6,17,18,34,35,36,39,41,44,45,108,110,112,165,170,173,174,189,192,193,194,350,
356,357,454,456,458,460,742],[1,3,4,20,22,23,26,27,29,30,33,35,113,115,116,
125,127,128,130,131,141,142,143,358,360,362,363,364,391,392,743],[1,3,4,20,22,
23,29,30,33,37,41,113,116,125,133,135,137,144,157,358,366,368,393,395,744],[1,
3,4,7,20,22,23,33,42,45,113,125,138,159,161,163,358,396,398,745],[1,3,4,8,20,
22,23,33,43,44,113,125,139,160,162,164,358,397,399,746],[1,3,4,5,20,21,22,23,
24,25,26,28,29,34,35,36,113,114,118,121,122,126,127,128,129,132,140,165,359,
360,361,375,376,400,401,747],[1,3,4,20,21,22,23,25,26,27,29,30,34,113,115,116,
118,119,126,127,130,132,141,142,359,363,365,372,374,382,400,748],[1,3,4,5,6,
20,21,22,23,28,29,30,31,32,34,37,39,40,113,116,117,118,122,123,126,133,134,
135,136,144,146,166,359,366,367,378,380,402,403,749],[1,3,4,20,22,23,26,27,29,
30,35,37,113,115,116,127,128,130,133,135,141,142,144,360,363,366,405,406,408,
411,750],[1,3,4,20,22,23,26,29,30,35,41,113,116,127,128,131,135,137,141,143,
144,173,360,364,368,408,409,412,413,751],[1,3,4,5,6,20,21,22,23,25,26,28,29,
31,32,35,39,40,113,117,119,121,123,127,128,132,134,136,146,152,154,155,360,
365,367,383,385,410,414,752],[1,3,4,5,6,20,22,23,24,25,26,27,28,29,30,31,32,
36,39,40,113,114,115,116,117,127,129,130,132,134,136,140,141,142,146,147,148,
150,151,152,153,155,156,361,363,367,369,370,407,410,415,421,433,434,753],[1,3,
4,5,20,21,22,23,24,25,28,29,30,36,37,113,114,116,119,122,129,132,133,135,140,
144,154,361,365,366,384,388,418,423,754],[1,3,4,20,22,23,26,27,29,30,41,113,
115,116,127,130,131,135,137,141,142,362,363,368,406,409,419,420,755],[1,3,4,
20,22,23,27,29,30,35,37,113,116,128,130,131,133,135,142,143,144,362,364,366,
411,413,420,422,756],[1,3,4,5,21,22,23,24,25,26,28,29,30,33,36,118,119,120,
121,122,125,127,129,131,140,141,143,371,372,373,375,377,381,391,757],[1,3,4,5,
6,21,22,23,28,29,31,32,33,37,38,39,40,41,118,122,123,125,133,134,137,145,146,
157,158,371,378,379,393,394,758],[1,3,4,7,21,22,23,33,42,44,45,118,125,138,
159,161,163,164,371,396,399,759],[1,3,4,8,21,22,23,33,43,44,45,118,125,139,
160,161,162,164,371,397,398,760],[1,3,4,5,6,21,22,24,25,26,28,29,31,32,36,37,
39,118,119,121,122,123,127,129,133,134,147,150,152,154,372,375,378,383,384,
405,407,761],[1,3,4,6,21,22,23,25,26,29,30,32,35,40,118,119,123,127,128,132,
135,136,141,144,152,155,372,376,380,385,388,408,410,762],[1,3,4,5,6,21,22,25,
26,28,29,30,31,32,39,41,118,119,121,123,124,127,131,134,137,152,154,156,372,
377,379,383,386,387,409,763],[1,3,4,5,6,21,22,24,26,28,29,30,31,32,36,39,41,
118,121,122,127,129,131,134,137,147,149,150,151,174,373,375,379,407,409,416,
417,764],[1,3,4,5,6,21,22,24,25,28,29,30,31,32,36,37,39,118,119,122,123,124,
129,131,133,134,149,151,154,156,373,377,378,384,386,417,422,765],[1,3,4,5,6,
21,22,24,25,26,27,28,29,30,32,36,40,118,121,122,127,129,130,132,135,136,148,
151,152,155,374,375,380,406,410,415,418,766],[1,3,4,5,6,21,22,23,25,27,28,29,
30,31,32,35,37,39,118,122,123,128,130,132,133,134,142,144,153,154,155,156,374,
376,378,411,414,421,423,767],[1,3,4,5,6,21,22,23,24,25,26,28,29,30,31,32,33,
36,38,39,40,119,120,121,123,124,125,127,129,131,134,140,141,143,145,146,147,
149,150,151,152,154,156,158,381,383,386,389,390,391,394,407,417,433,435,768],[
1,3,4,5,21,22,23,24,25,28,29,33,36,37,41,119,120,122,125,129,133,137,140,154,
157,174,381,384,387,393,416,769],[1,3,4,5,6,21,22,25,26,27,28,29,30,31,32,34,
39,119,121,123,126,127,130,132,134,135,152,153,154,156,382,383,388,400,403,
406,421,770],[1,3,4,5,6,21,22,23,24,25,27,28,29,30,32,34,35,36,37,40,119,122,
123,126,128,129,130,133,136,142,144,148,151,154,155,165,166,382,384,385,401,
402,411,415,771],[1,3,4,7,21,22,25,41,42,45,119,137,138,187,190,192,194,387,
429,431,772],[1,3,4,8,21,22,25,41,43,44,119,137,139,188,189,191,193,387,430,
432,773],[1,3,4,22,23,26,29,30,33,37,41,125,127,131,133,137,141,143,157,391,
393,405,409,422,774],[1,3,4,22,23,26,27,29,30,33,35,125,127,128,130,131,135,
141,142,143,144,391,392,395,406,408,413,420,775],[1,3,4,22,23,27,29,30,33,35,
37,41,125,128,130,133,137,142,143,144,157,173,392,393,411,412,419,776],[1,3,4,
7,22,23,29,33,37,41,42,45,125,133,137,138,157,159,161,163,175,178,179,187,190,
192,393,396,424,429,436,439,777],[1,3,4,8,22,23,29,33,37,41,43,44,125,133,137,
139,157,160,162,164,176,177,180,188,189,191,393,397,425,430,437,438,778],[1,3,
4,22,23,29,33,37,41,45,125,133,137,157,161,393,398,779],[1,3,4,22,23,29,33,37,
41,44,125,133,137,157,164,393,399,780],[1,3,4,22,23,29,33,37,41,125,133,137,
157,194,393,431,781],[1,3,4,22,23,29,33,37,41,125,133,137,157,193,393,432,
782],[1,3,4,22,23,29,33,37,41,45,125,133,137,157,178,393,426,783],[1,3,4,22,
23,29,33,37,41,44,125,133,137,157,177,393,427,784],[1,3,4,5,6,7,22,23,28,31,
32,33,38,39,40,42,44,45,125,134,138,145,146,158,159,161,163,164,181,185,394,
396,399,440,442,785],[1,3,4,5,6,8,22,23,28,31,32,33,38,39,40,43,44,45,125,134,
139,145,146,158,160,161,162,164,182,184,394,397,398,442,443,786],[1,3,4,7,22,
23,30,33,42,45,125,135,138,159,161,163,395,396,398,787],[1,3,4,8,22,23,30,33,
43,44,125,135,139,160,162,164,395,397,399,788],[1,3,4,6,22,25,26,29,32,34,37,
40,126,127,132,133,136,152,155,166,400,402,405,410,423,789],[1,3,4,5,6,22,23,
24,25,26,28,29,30,31,32,34,35,36,39,126,127,128,129,132,134,135,141,144,147,
150,154,155,165,400,401,403,407,408,414,418,790],[1,3,4,6,7,8,22,29,32,34,37,
40,42,43,44,45,46,126,133,136,138,139,166,168,169,170,171,175,176,177,178,179,
180,183,184,185,186,402,404,424,425,428,445,446,447,448,791],[1,3,4,6,22,29,
32,34,37,40,44,45,126,133,136,166,177,178,402,426,427,792],[1,3,4,7,22,26,29,
37,42,45,127,133,138,175,178,179,405,424,426,793],[1,3,4,8,22,26,29,37,43,44,
127,133,139,176,177,180,405,425,427,794],[1,3,4,7,22,23,29,35,41,42,45,128,
137,138,173,187,190,192,193,412,429,432,453,454,795],[1,3,4,8,22,23,29,35,41,
43,44,128,137,139,173,188,189,191,194,412,430,431,455,456,796],[1,3,4,5,7,22,
24,28,36,41,42,45,129,137,138,174,187,190,192,194,416,429,431,457,458,797],[1,
3,4,5,8,22,24,28,36,41,43,44,129,137,139,174,188,189,191,193,416,430,432,459,
460,798],[1,3,4,7,22,27,30,41,42,45,130,137,138,187,190,192,193,419,429,432,
799],[1,3,4,8,22,27,30,41,43,44,130,137,139,188,189,191,194,419,430,431,800],[
1,3,4,7,22,29,30,37,42,45,131,133,138,175,178,179,422,424,426,801],[1,3,4,8,
22,29,30,37,43,44,131,133,139,176,177,180,422,425,427,802],[1,3,4,7,22,25,29,
37,42,44,45,132,133,138,175,177,178,179,423,424,427,803],[1,3,4,8,22,25,29,37,
43,44,45,132,133,139,176,177,178,180,423,425,426,804],[1,4,5,7,34,35,36,38,41,
42,44,165,167,168,172,173,174,181,189,190,193,194,444,449,452,453,456,457,460,
805],[1,4,5,8,34,35,36,38,41,43,45,165,167,171,172,173,174,182,188,192,193,
194,444,451,452,454,455,458,459,806],[1,2,3,9,11,14,50,51,54,58,197,218,229,
462,470,807],[1,2,3,9,10,14,50,51,53,54,59,195,218,220,461,464,465,808],[1,2,
3,9,10,14,50,51,53,54,57,195,220,229,461,465,466,809],[1,2,4,9,10,15,50,54,55,
60,195,221,461,467,810],[1,2,3,5,9,11,16,50,51,52,54,56,58,197,219,232,462,
470,472,811],[1,2,3,9,11,14,50,53,54,67,197,220,462,480,812],[1,2,4,9,11,15,
50,54,55,68,197,221,462,481,813],[1,2,4,5,9,11,17,50,52,54,55,56,68,197,222,
237,462,472,481,814],[1,2,4,9,10,12,15,50,54,55,57,59,60,73,198,221,239,463,
484,485,815],[1,2,4,9,10,15,50,54,55,57,59,60,195,221,239,464,466,467,816],[1,
2,7,8,9,10,19,50,59,61,62,63,64,195,263,264,464,468,469,817],[1,3,4,9,10,22,
51,53,55,60,195,228,465,467,818],[1,2,7,8,9,10,19,54,57,61,62,63,64,195,240,
241,466,468,469,819],[1,4,7,9,10,42,55,60,62,63,195,266,467,468,820],[1,4,8,9,
10,43,55,60,61,64,195,265,467,469,821],[1,4,9,10,44,55,60,195,467,822],[1,4,9,
10,45,55,60,195,467,823],[1,3,9,10,20,51,195,223,242,243,824],[1,3,9,11,20,51,
58,197,223,244,470,825],[1,3,9,10,12,20,51,198,223,243,245,826],[1,3,9,11,21,
51,58,197,224,231,470,827],[1,3,9,11,12,26,51,196,225,260,261,828],[1,3,9,11,
26,51,58,197,225,252,470,829],[1,3,9,12,13,26,51,199,225,261,262,830],[1,3,5,
9,11,28,51,52,56,58,197,226,234,470,472,831],[1,3,9,11,27,51,58,197,227,253,
470,832],[1,3,4,9,11,22,51,53,55,58,67,68,197,228,248,470,480,481,833],[1,3,4,
9,11,23,51,55,58,68,197,230,249,470,481,834],[1,3,4,9,11,29,51,55,58,68,197,
233,254,470,481,835],[1,3,9,11,30,51,58,197,235,255,470,836],[1,3,5,9,11,24,
51,58,65,69,197,246,250,470,482,837],[1,3,9,11,25,51,58,197,247,251,470,838],[
1,3,5,6,9,11,31,51,58,65,69,70,71,197,256,258,470,482,483,839],[1,3,6,9,11,32,
51,58,70,71,197,257,259,470,483,840],[1,3,5,9,11,12,28,51,52,65,67,69,72,196,
226,270,471,474,475,841],[1,3,5,9,11,12,24,52,53,56,58,65,66,196,236,246,471,
476,478,842],[1,4,5,9,11,12,36,52,55,56,65,68,69,73,196,238,271,471,477,479,
843],[1,3,5,9,11,24,52,53,56,67,197,236,472,480,844],[1,4,5,9,11,36,52,55,56,
68,197,238,472,481,845],[1,4,5,9,12,13,36,52,55,56,66,72,73,75,199,238,273,
473,486,487,846],[1,3,4,9,11,12,22,51,53,55,58,67,68,73,196,228,248,474,476,
477,847],[1,3,5,9,11,12,28,51,56,65,66,67,69,196,234,270,474,478,479,848],[1,
3,5,9,11,12,24,52,53,56,58,69,72,196,236,250,475,476,479,849],[1,4,5,9,11,12,
36,52,55,56,65,66,68,69,72,73,196,238,271,273,475,477,478,850],[1,3,9,11,27,
53,67,197,480,851],[1,3,5,9,11,28,53,65,67,69,197,270,480,482,852],[1,3,9,11,
30,53,67,197,480,853],[1,3,6,9,11,32,53,67,70,71,197,274,480,483,854],[1,4,5,
9,11,36,55,65,68,69,197,271,481,482,855],[1,4,5,6,9,11,39,55,65,68,69,70,71,
197,272,275,481,482,483,856],[1,4,6,9,11,40,55,68,70,71,197,276,481,483,857],[
1,4,9,11,41,55,68,197,481,858],[1,3,9,11,12,20,58,196,242,244,245,859],[1,3,
10,11,12,20,58,200,243,244,245,860],[1,3,11,13,26,58,205,252,260,262,861],[1,
3,11,12,13,26,58,206,252,261,262,862],[1,2,4,10,13,15,57,59,60,75,202,239,488,
496,863],[1,2,7,8,10,13,19,57,59,61,62,63,76,202,240,263,488,497,498,864],[1,
2,7,8,10,13,19,57,59,62,63,64,77,202,241,264,488,498,499,865],[1,2,7,8,10,13,
19,57,59,61,63,64,79,204,240,264,489,505,506,866],[1,2,4,10,13,15,57,59,60,75,
204,239,489,507,867],[1,2,7,8,10,13,19,57,59,61,62,64,78,204,241,263,489,506,
508,868],[1,4,5,10,11,12,36,60,65,66,68,69,72,73,200,271,273,490,491,492,
869],[1,4,7,10,12,13,42,60,62,63,73,75,78,79,201,266,281,493,494,495,870],[1,
4,8,10,13,43,60,61,64,75,76,77,202,265,280,496,497,499,871],[1,4,7,10,13,42,
60,62,63,75,202,266,496,498,872],[1,4,7,10,13,42,60,75,78,79,202,281,496,500,
873],[1,4,10,13,44,60,75,202,496,874],[1,4,6,10,13,40,60,74,75,80,202,278,496,
501,875],[1,4,10,13,41,60,75,202,496,876],[1,6,7,8,10,13,46,61,74,76,78,79,80,
202,277,282,497,500,501,877],[1,6,7,8,10,13,46,64,74,77,78,79,80,202,279,283,
499,500,501,878],[1,4,8,10,12,13,43,60,61,64,73,75,76,77,203,265,280,502,503,
504,879],[1,4,7,10,13,42,60,62,63,75,78,79,204,266,281,505,507,508,880],[1,6,
7,8,10,13,46,63,74,76,77,79,80,204,277,283,505,509,510,881],[1,4,8,10,13,43,
60,61,64,75,204,265,506,507,882],[1,4,8,10,13,43,60,75,76,77,204,280,507,509,
883],[1,4,10,13,45,60,75,204,507,884],[1,4,10,13,41,60,75,204,507,885],[1,4,6,
10,13,40,60,74,75,80,204,278,507,510,886],[1,6,7,8,10,13,46,62,74,76,77,78,80,
204,279,282,508,509,510,887],[1,3,6,11,13,32,58,67,70,71,74,205,257,274,511,
512,513,888],[1,3,4,11,13,22,58,67,68,75,205,248,511,515,889],[1,3,6,11,13,32,
58,67,70,71,80,205,259,274,511,513,518,890],[1,4,6,11,13,40,68,70,71,74,75,80,
205,276,278,512,515,518,891],[1,6,7,8,11,13,46,70,74,76,77,78,79,205,277,279,
512,516,517,892],[1,4,6,11,13,40,68,70,71,75,205,276,513,515,893],[1,4,6,11,
12,13,40,68,70,71,73,74,75,80,206,276,278,514,519,520,894],[1,4,8,11,13,43,68,
75,76,77,205,280,515,516,895],[1,4,11,13,44,68,75,205,515,896],[1,4,7,11,13,
42,68,75,78,79,205,281,515,517,897],[1,4,11,13,45,68,75,205,515,898],[1,6,7,8,
11,13,46,71,76,77,78,79,80,205,282,283,516,517,518,899],[1,4,5,12,36,66,72,73,
207,273,521,523,900],[1,4,5,12,36,66,72,73,208,273,522,524,901],[1,4,12,45,73,
207,523,902],[1,4,12,41,73,207,523,903],[1,4,12,44,73,208,524,904],[1,4,12,41,
73,208,524,905],[1,3,4,20,22,23,47,113,209,210,211,525,526,527,906],[1,3,20,
26,27,47,115,209,525,528,529,907],[1,3,4,20,29,30,47,116,209,211,525,530,531,
908],[1,3,4,22,34,47,126,209,210,211,526,534,909],[1,3,4,21,22,47,118,209,210,
211,526,532,910],[1,3,4,22,26,29,47,127,209,210,211,526,528,530,911],[1,3,4,
22,27,30,47,130,209,210,211,526,529,531,912],[1,3,4,21,22,25,47,119,209,210,
211,526,532,533,913],[1,3,4,22,25,47,132,209,210,211,526,533,914],[1,3,4,23,
26,30,47,141,209,211,527,528,531,915],[1,3,4,23,27,29,47,142,209,211,527,529,
530,916],[1,4,8,34,43,45,48,171,212,213,214,535,536,537,917],[1,4,7,34,42,44,
49,168,215,216,217,538,539,540,918],[1,9,11,47,197,284,285,919],[1,2,3,5,9,14,
16,20,21,26,27,28,50,51,52,81,86,87,100,102,115,121,218,219,223,224,225,226,
227,288,541,542,543,548,549,554,559,920],[1,2,3,4,9,14,15,20,21,22,23,50,51,
53,54,55,81,82,83,113,118,218,220,221,223,224,228,229,230,231,286,541,544,545,
555,556,560,561,921],[1,2,3,4,5,9,14,15,16,17,20,21,28,29,30,50,51,54,55,56,
81,88,89,100,103,116,122,218,221,222,223,224,232,233,234,235,289,541,546,547,
557,558,562,563,922],[1,2,3,4,5,9,14,15,16,17,22,24,26,29,50,51,52,53,54,55,
56,82,84,86,88,127,218,219,220,221,222,225,228,229,232,233,236,237,292,542,
544,546,550,551,564,565,923],[1,2,3,4,5,9,14,16,17,21,23,26,28,30,36,50,51,52,
55,56,83,86,89,101,103,121,141,218,219,222,225,230,231,234,235,238,301,542,
545,547,552,553,566,567,924],[1,2,3,4,5,9,14,15,22,24,27,28,30,36,50,51,52,53,
54,55,56,82,87,89,129,130,218,220,221,226,227,228,229,234,235,236,238,294,543,
544,547,568,569,572,573,925],[1,2,3,4,5,9,14,15,16,17,21,23,27,28,29,36,50,51,
52,54,55,56,83,87,88,101,102,122,142,218,221,222,226,227,230,231,232,233,237,
238,302,543,545,546,570,571,574,575,926],[1,2,3,4,5,9,14,16,17,20,22,23,24,28,
36,50,51,52,53,54,55,56,84,100,101,113,129,219,220,222,223,226,228,230,232,
234,236,237,238,305,548,550,552,555,557,568,570,927],[1,2,3,4,5,9,14,15,16,17,
20,21,28,29,30,50,51,52,54,55,81,88,89,100,103,116,122,219,221,223,226,229,
231,233,235,237,289,548,551,553,556,558,569,571,928],[1,2,3,4,5,9,14,16,17,21,
22,24,27,30,50,51,52,53,54,55,56,84,102,103,118,130,219,220,222,224,227,228,
231,232,235,236,237,307,549,550,553,560,562,572,575,929],[1,2,3,4,5,9,14,15,
16,17,21,23,27,28,29,36,50,51,52,54,55,56,83,87,88,101,102,122,142,219,221,
222,224,227,229,230,233,234,237,238,302,549,551,552,561,563,573,574,930],[1,3,
4,9,20,22,23,26,27,29,30,51,53,55,113,115,116,127,130,141,142,223,225,227,228,
230,233,235,363,554,555,558,564,566,572,574,931],[1,2,3,5,9,14,16,20,21,26,27,
28,51,54,56,81,86,87,100,102,115,121,223,225,227,229,231,232,234,288,554,556,
557,565,567,573,575,932],[1,3,4,5,9,21,22,24,26,28,29,36,51,52,53,55,56,118,
121,122,127,129,224,225,226,228,231,233,234,236,238,375,559,560,563,564,567,
568,571,933],[1,2,3,4,5,9,14,16,17,21,23,26,28,30,36,51,52,54,55,56,83,86,89,
101,103,121,141,224,225,226,229,230,232,235,237,238,301,559,561,562,565,566,
569,570,934],[1,2,3,4,5,11,14,15,16,17,22,24,26,29,58,65,82,84,86,88,127,246,
260,292,576,601,935],[1,2,3,4,5,9,14,16,17,20,22,23,24,28,36,51,54,84,100,101,
113,129,229,242,305,579,584,936],[1,2,3,4,5,6,11,14,16,17,18,22,24,26,29,31,
38,58,65,70,84,86,90,104,105,127,147,256,260,309,576,601,608,937],[1,2,3,5,11,
14,16,20,21,26,27,28,65,67,69,81,86,87,100,102,115,121,260,270,288,576,632,
633,938],[1,2,3,4,5,11,14,16,17,21,23,26,28,30,36,65,68,69,83,86,89,101,103,
121,141,260,271,301,576,633,634,939],[1,2,3,4,5,6,11,14,16,18,23,25,26,30,32,
39,65,68,71,85,86,91,106,107,141,152,260,272,317,576,634,635,940],[1,2,3,4,5,
12,14,16,17,21,23,26,28,30,36,66,72,73,83,86,89,101,103,121,141,261,273,301,
577,636,637,941],[1,2,4,6,7,8,13,15,18,19,37,42,43,46,74,76,79,93,96,109,175,
176,269,277,327,578,649,650,942],[1,2,4,6,13,15,18,33,34,37,40,41,74,75,80,92,
93,95,111,112,157,166,269,278,321,578,651,652,943],[1,2,4,6,7,8,13,15,18,19,
37,42,43,44,45,46,74,77,78,93,98,99,109,110,179,180,269,279,329,578,653,654,
944],[1,2,3,5,9,14,16,20,21,26,27,28,50,53,54,81,86,87,100,102,115,121,220,
242,288,579,583,586,945],[1,2,3,4,5,9,14,15,16,17,20,21,28,29,30,50,54,55,81,
88,89,100,103,116,122,221,242,289,579,583,587,946],[1,2,3,4,5,6,9,16,18,20,22,
23,28,31,32,38,39,51,54,56,100,104,106,113,117,134,145,232,242,338,579,584,
588,947],[1,2,3,4,5,9,16,17,20,24,25,28,29,30,38,52,54,55,100,105,107,114,116,
149,154,237,242,339,579,585,587,948],[1,2,3,4,5,10,14,15,16,17,20,21,28,29,30,
57,59,60,81,88,89,100,103,116,122,239,243,289,580,589,590,949],[1,2,4,6,7,8,
10,18,19,33,40,42,43,46,57,61,63,109,111,159,162,183,240,267,351,582,642,644,
950],[1,2,4,6,10,15,18,33,34,37,40,41,57,59,60,92,93,95,111,112,157,166,239,
267,321,582,640,641,951],[1,2,4,6,7,8,10,18,19,33,40,42,43,44,45,46,57,62,64,
109,110,111,160,163,184,185,241,267,353,582,643,645,952],[1,2,3,4,9,14,15,20,
21,22,23,50,51,81,82,83,113,118,218,242,286,583,584,953],[1,2,3,4,5,9,14,16,
17,20,21,22,23,24,25,50,51,52,81,84,85,113,114,119,120,219,242,287,583,584,
585,954],[1,2,3,4,5,6,9,14,17,18,20,21,29,30,31,32,50,55,56,81,90,91,116,117,
123,124,222,242,290,583,587,588,955],[1,3,4,9,20,22,23,33,51,113,125,223,242,
358,584,956],[1,3,4,9,20,21,22,23,34,51,113,118,126,224,242,359,584,957],[1,3,
4,9,20,22,23,26,29,35,51,113,127,128,225,242,360,584,958],[1,3,4,5,9,20,22,23,
24,25,28,36,51,52,113,114,129,132,140,226,242,361,584,585,959],[1,3,4,9,20,22,
23,27,30,51,113,130,131,227,242,362,584,960],[1,3,4,9,20,22,23,26,27,29,30,51,
53,55,113,115,116,127,130,141,142,228,242,363,584,586,587,961],[1,3,4,9,20,22,
23,29,30,35,51,55,113,116,128,131,143,230,242,364,584,587,962],[1,3,4,9,20,21,
22,23,25,51,113,119,132,231,242,365,584,963],[1,3,4,9,20,22,23,29,30,37,51,55,
113,116,133,135,144,233,242,366,584,587,964],[1,3,4,5,6,9,20,22,23,28,31,32,
39,40,51,56,113,117,134,136,146,234,242,367,584,588,965],[1,3,4,9,20,22,23,30,
41,51,113,135,137,235,242,368,584,966],[1,3,5,6,9,20,24,25,26,27,31,32,52,53,
56,114,115,117,147,148,152,153,236,242,369,585,586,588,967],[1,3,4,5,6,9,20,
24,25,29,30,31,32,36,39,52,55,56,114,116,117,150,151,155,156,238,242,370,585,
587,588,968],[1,3,4,10,20,22,23,33,113,125,243,267,358,969],[1,3,4,11,20,22,
23,26,29,35,58,113,127,128,244,260,360,601,970],[1,3,4,12,20,22,23,26,29,35,
113,127,128,245,261,268,360,971],[1,3,4,5,11,20,22,23,24,25,28,36,58,65,67,68,
69,113,114,129,132,140,244,246,247,248,249,250,251,270,271,361,591,592,593,
602,603,610,611,972],[1,3,5,6,11,20,24,25,26,27,31,32,58,65,70,114,115,117,
147,148,152,153,244,246,247,252,253,256,257,369,591,594,596,604,605,612,613,
973],[1,3,4,5,6,11,20,24,25,29,30,31,32,36,39,58,65,68,69,71,114,116,117,150,
151,155,156,244,246,247,254,255,258,259,271,272,370,591,595,597,606,607,614,
615,974],[1,3,4,11,20,22,23,26,27,29,30,58,67,68,113,115,116,127,130,141,142,
244,248,249,252,253,254,255,363,592,594,595,616,617,620,621,975],[1,3,4,5,6,
11,20,22,23,28,31,32,39,40,58,65,67,68,69,70,71,113,117,134,136,146,244,248,
249,256,257,258,259,270,272,274,275,276,367,592,596,597,618,619,622,623,976],[
1,3,5,6,11,20,24,25,26,27,31,32,58,69,71,114,115,117,147,148,152,153,244,250,
251,252,253,258,259,369,593,594,597,624,625,628,629,977],[1,3,4,5,6,11,20,24,
25,29,30,31,32,36,39,58,65,68,69,70,114,116,117,150,151,155,156,244,250,251,
254,255,256,257,271,275,370,593,595,596,626,627,630,631,978],[1,3,4,5,6,12,20,
24,25,29,30,31,32,36,39,66,72,73,114,116,117,150,151,155,156,245,273,370,598,
599,600,979],[1,3,4,11,21,22,25,26,29,58,118,119,127,247,260,372,601,980],[1,
3,4,11,20,22,23,26,27,29,30,58,67,68,113,115,116,127,130,141,142,248,260,363,
601,632,634,981],[1,3,4,5,11,21,22,24,26,28,29,36,58,69,118,121,122,127,129,
250,260,375,601,633,982],[1,3,4,11,22,23,26,29,30,33,58,68,125,127,131,141,
143,249,260,391,601,634,983],[1,3,4,11,22,25,26,29,34,58,126,127,132,251,260,
400,601,984],[1,3,4,11,22,26,29,37,58,127,133,252,260,405,601,985],[1,3,4,11,
22,26,27,29,30,58,127,130,135,253,260,406,601,986],[1,3,4,5,6,11,22,24,26,28,
29,31,32,36,39,58,70,127,129,134,147,150,257,260,407,601,608,987],[1,3,4,11,
22,23,26,29,30,35,58,68,127,128,135,141,144,254,260,408,601,634,988],[1,3,4,
11,22,26,29,30,41,58,127,131,137,255,260,409,601,989],[1,3,4,5,6,11,21,22,25,
26,28,29,31,32,39,58,69,71,119,121,123,127,134,152,154,258,260,383,601,633,
635,990],[1,3,4,6,11,22,25,26,29,32,40,58,71,127,132,136,152,155,259,260,410,
601,635,991],[1,3,4,13,22,26,29,37,127,133,262,269,405,992],[1,3,4,5,6,11,22,
24,26,28,29,31,32,36,39,58,65,67,68,69,70,71,127,129,134,147,150,246,248,250,
252,254,256,258,270,271,272,274,275,407,602,604,606,616,618,624,626,993],[1,3,
4,5,6,11,22,24,27,28,30,32,36,40,58,65,67,68,69,70,71,129,130,136,148,151,246,
248,250,253,255,257,259,270,271,274,276,415,602,605,607,617,619,625,627,994],[
1,3,4,5,6,11,23,24,25,26,30,31,32,39,40,58,65,68,70,71,140,141,146,147,151,
152,156,246,249,251,252,255,256,259,272,276,433,603,604,607,620,622,628,631,
995],[1,3,4,5,6,11,23,24,25,27,29,31,32,36,39,40,58,65,68,69,70,71,140,142,
146,148,150,153,155,246,249,251,253,254,257,258,271,272,275,276,434,603,605,
606,621,623,629,630,996],[1,3,5,6,11,20,24,25,26,27,31,32,67,70,71,114,115,
117,147,148,152,153,260,274,369,608,632,635,997],[1,3,4,5,6,11,21,23,24,26,28,
30,31,38,39,68,69,70,120,121,124,141,145,147,149,260,275,389,608,633,634,
998],[1,3,4,5,6,11,23,24,25,26,30,31,32,39,40,68,70,71,140,141,146,147,151,
152,156,260,276,433,608,634,635,999],[1,3,4,5,6,13,23,24,25,26,30,31,32,39,40,
74,75,80,140,141,146,147,151,152,156,262,278,433,609,638,639,1000],[1,3,4,6,
11,22,25,26,29,32,40,58,67,68,70,71,127,132,136,152,155,247,248,251,252,254,
257,259,274,276,410,610,612,614,616,619,628,630,1001],[1,3,4,5,6,11,22,25,27,
28,30,31,32,39,58,65,67,68,69,70,71,130,132,134,153,156,247,248,251,253,255,
256,258,270,272,274,275,421,610,613,615,617,618,629,631,1002],[1,3,4,5,6,11,
23,24,25,26,30,31,32,39,40,58,68,69,70,71,140,141,146,147,151,152,156,247,249,
250,252,255,257,258,275,276,433,611,612,615,620,623,624,627,1003],[1,3,4,5,6,
11,23,24,25,27,29,31,32,36,39,40,58,65,68,69,70,71,140,142,146,148,150,153,
155,247,249,250,253,254,256,259,271,272,275,276,434,611,613,614,621,622,625,
626,1004],[1,2,4,7,8,10,15,19,33,34,42,43,44,59,63,64,92,96,98,159,160,168,
169,264,267,323,640,642,643,1005],[1,2,4,7,8,10,15,19,33,34,42,43,45,59,61,62,
92,96,99,162,163,169,171,263,267,325,640,644,645,1006],[1,4,7,10,33,37,41,42,
45,60,62,63,157,159,163,175,179,187,190,266,267,436,641,642,645,1007],[1,4,8,
10,33,37,41,43,44,60,61,64,157,160,162,176,180,188,191,265,267,437,641,643,
644,1008],[1,4,5,12,34,35,36,38,41,66,72,73,165,167,172,173,174,268,273,444,
646,647,648,1009],[1,4,7,13,33,37,41,42,45,75,78,79,157,159,163,175,179,187,
190,269,281,436,649,651,653,1010],[1,4,6,7,8,13,34,37,40,42,43,44,46,77,79,80,
166,168,169,175,180,183,185,269,283,445,649,652,654,1011],[1,4,8,13,33,37,41,
43,44,75,76,77,157,160,162,176,180,188,191,269,280,437,650,651,654,1012],[1,4,
6,7,8,13,34,37,40,42,43,45,46,76,78,80,166,169,171,176,179,183,184,269,282,
446,650,652,653,1013],[1,3,47,48,49,209,210,656,1014],[1,4,47,48,49,211,212,
215,656,1015],[1,8,47,48,49,213,214,656,1016],[1,7,47,48,49,216,217,656,
1017],[1,2,9,10,11,12,50,54,57,195,196,197,198,200,461,462,463,466,657,1018],[
1,2,9,10,11,12,50,54,59,195,196,197,198,200,461,462,464,484,657,1019],[1,2,9,
10,12,13,50,57,59,195,198,199,201,202,203,204,463,464,488,489,658,1020],[1,3,
9,10,11,12,51,53,58,195,196,197,198,200,465,470,476,657,1021],[1,3,9,10,11,12,
51,53,67,195,196,197,198,200,465,474,480,657,1022],[1,5,9,10,11,12,52,65,69,
72,195,196,197,198,200,471,475,482,490,657,1023],[1,4,9,10,11,12,55,60,68,73,
195,196,197,198,200,467,477,481,485,491,657,1024],[1,5,9,10,11,12,56,65,66,69,
195,196,197,198,200,478,479,482,492,657,1025],[1,2,9,10,12,13,54,57,59,195,
198,199,201,202,203,204,466,484,488,489,658,1026],[1,4,9,10,12,13,55,60,73,75,
195,198,199,201,202,203,204,467,485,486,493,496,502,507,658,1027],[1,7,9,10,
12,13,62,63,79,195,198,199,201,202,203,204,468,494,498,505,658,1028],[1,8,9,
10,12,13,61,64,76,195,198,199,201,202,203,204,469,497,504,506,658,1029],[1,8,
9,10,12,13,61,64,77,195,198,199,201,202,203,204,469,499,503,506,658,1030],[1,
7,9,10,12,13,62,63,78,195,198,199,201,202,203,204,468,495,498,508,658,1031],[
1,5,9,11,12,13,52,56,65,66,196,197,199,205,206,471,472,473,478,659,1032],[1,3,
9,11,12,13,51,58,67,196,197,199,205,206,470,474,511,659,1033],[1,5,9,11,12,13,
52,56,69,72,196,197,199,205,206,472,475,479,487,659,1034],[1,5,9,10,11,12,13,
52,66,69,72,196,198,199,200,201,203,206,207,208,473,475,492,521,522,660,
1035],[1,3,9,11,12,13,53,58,67,196,197,199,205,206,476,480,511,659,1036],[1,4,
9,11,12,13,55,68,73,75,196,197,199,205,206,477,481,486,515,519,659,1037],[1,6,
9,11,12,13,70,71,74,196,197,199,205,206,483,512,513,514,659,1038],[1,6,9,11,
12,13,70,71,80,196,197,199,205,206,483,513,518,520,659,1039],[1,4,9,10,11,12,
13,55,60,68,73,75,196,198,199,200,201,203,206,207,208,477,485,486,491,493,502,
519,523,524,660,1040],[1,5,9,10,11,12,13,56,65,66,72,196,198,199,200,201,203,
206,207,208,478,487,490,521,522,660,1041],[1,4,10,11,12,13,60,68,73,75,200,
201,202,203,204,205,206,491,493,496,502,507,515,519,661,1042],[1,8,10,11,12,
13,61,76,77,200,201,202,203,204,205,206,497,503,509,516,661,1043],[1,8,10,11,
12,13,64,76,77,200,201,202,203,204,205,206,499,504,509,516,661,1044],[1,7,10,
11,12,13,63,78,79,200,201,202,203,204,205,206,495,500,505,517,661,1045],[1,7,
10,11,12,13,62,78,79,200,201,202,203,204,205,206,494,500,508,517,661,1046],[1,
6,10,11,12,13,71,74,80,200,201,202,203,204,205,206,501,510,514,518,661,1047],[
1,6,10,11,12,13,70,74,80,200,201,202,203,204,205,206,501,510,512,520,661,
1048],[1,4,13,37,48,75,212,269,1049],[1,4,13,37,49,75,215,269,1050],[1,3,11,
26,47,67,210,260,1051],[1,3,9,20,47,53,210,242,1052],[1,4,10,33,49,60,215,267,
1053],[1,4,10,33,48,60,212,267,1054],[1,4,12,35,49,73,215,268,1055],[1,4,12,
35,48,73,212,268,1056],[1,3,9,21,47,51,210,224,284,532,662,1057],[1,3,4,9,22,
47,51,53,55,209,210,211,228,284,526,662,663,664,1058],[1,3,9,21,47,51,210,231,
284,532,662,1059],[1,3,9,20,47,209,242,284,525,1060],[1,3,11,26,47,209,260,
285,528,1061],[1,3,11,25,47,58,210,247,285,533,665,1062],[1,3,4,11,22,47,58,
67,68,209,210,211,248,285,526,665,666,667,1063],[1,3,11,25,47,58,210,251,285,
533,665,1064],[1,2,3,4,5,14,15,16,17,20,21,22,23,24,25,26,27,28,29,30,33,34,
35,36,81,82,83,84,85,86,87,88,89,92,100,101,102,103,113,114,115,116,118,119,
120,121,122,125,126,127,128,129,130,131,132,140,141,142,143,165,286,287,288,
289,291,292,293,294,295,300,301,302,305,306,307,308,358,359,360,361,362,363,
364,365,371,372,373,374,375,376,377,381,382,391,392,400,401,668,669,670,671,
672,675,676,681,682,701,702,743,747,748,757,1065],[1,2,3,4,5,6,14,15,16,17,18,
20,21,22,23,28,29,30,31,32,33,34,37,38,39,40,41,81,82,83,88,89,90,91,92,93,94,
95,100,103,104,106,111,112,113,116,117,118,122,123,124,125,126,133,134,135,
136,137,144,145,146,157,158,166,167,286,289,290,291,296,297,298,303,304,321,
322,338,344,346,347,358,359,366,367,368,371,378,379,380,393,394,395,402,403,
668,673,674,683,684,727,730,736,744,749,758,1066],[1,2,3,4,7,8,14,15,19,20,21,
22,23,33,34,42,43,44,45,81,82,83,92,96,97,98,99,113,118,125,126,138,139,159,
160,161,162,163,164,168,169,170,171,286,291,299,323,324,325,326,358,359,371,
396,397,398,399,404,668,685,686,745,746,759,760,1067],[1,2,3,4,5,6,14,15,16,
17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,35,36,37,38,39,81,82,83,84,85,86,
87,88,89,90,91,93,94,100,101,102,103,104,105,106,107,108,113,114,115,116,117,
118,119,120,121,122,123,124,127,128,129,130,133,134,135,141,142,144,145,147,
148,149,150,152,153,154,172,286,287,288,289,290,292,293,294,296,297,300,301,
302,303,304,305,307,309,310,311,312,313,315,317,318,319,338,339,340,341,342,
343,344,360,363,366,369,372,375,378,383,384,389,405,406,407,408,411,669,671,
673,677,678,687,688,689,691,703,704,707,714,750,761,1068],[1,2,3,4,5,6,14,15,
16,17,18,20,21,22,23,24,25,26,28,29,30,31,32,35,36,39,40,41,81,82,83,84,85,86,
88,89,90,91,95,101,103,106,107,108,113,114,116,117,118,119,120,121,123,124,
127,128,131,132,134,135,136,137,141,143,144,146,150,151,152,154,155,156,173,
286,287,290,292,293,295,297,298,300,301,303,313,314,315,316,317,319,320,360,
364,365,367,368,370,372,376,377,379,380,383,385,386,387,388,390,408,409,410,
412,413,414,669,672,674,679,680,689,690,692,693,705,706,751,752,762,763,
1069],[1,2,3,4,5,6,14,15,16,17,20,21,22,23,24,25,26,27,28,29,30,31,32,36,39,
40,41,81,82,83,84,86,87,88,89,91,95,100,101,102,103,113,114,115,116,117,118,
121,122,127,129,130,131,132,134,135,136,137,140,141,142,146,147,148,149,150,
151,152,153,155,156,174,286,288,289,292,294,295,297,298,301,302,305,307,310,
312,314,316,361,362,363,367,368,369,370,373,374,375,379,380,406,407,409,410,
415,416,417,418,419,420,421,433,434,670,671,674,688,690,694,695,708,709,715,
716,753,755,764,766,1070],[1,2,3,4,5,6,14,15,16,17,18,20,21,22,23,24,25,27,28,
29,30,31,32,35,36,37,38,39,81,82,83,85,87,88,89,90,91,93,94,100,101,102,103,
104,105,106,107,108,113,114,116,117,118,119,122,123,124,128,129,130,131,132,
133,134,135,140,142,143,144,145,149,150,151,153,154,155,156,172,286,289,290,
293,294,295,296,297,302,303,304,318,319,338,339,340,342,344,348,349,361,362,
364,365,366,370,373,374,376,377,378,384,386,388,411,413,414,417,418,420,421,
422,423,435,670,672,673,691,693,695,696,728,729,733,735,754,756,765,767,
1071],[1,2,3,4,5,6,14,16,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,35,
36,38,39,40,81,84,85,86,87,90,91,100,101,102,104,105,106,107,108,111,113,114,
115,116,117,119,120,121,123,124,125,127,128,129,130,131,132,134,136,140,141,
142,143,145,146,147,148,149,150,151,152,153,154,155,156,158,172,287,288,290,
305,306,309,310,313,314,317,318,320,338,339,340,342,343,346,348,349,358,360,
361,362,363,364,365,367,369,370,381,383,385,386,389,390,391,392,394,407,410,
414,415,417,421,433,434,435,675,677,679,707,708,710,711,727,728,729,731,743,
752,753,768,1072],[1,2,3,4,5,14,15,16,17,20,21,22,23,24,25,28,29,30,33,36,37,
38,41,81,84,85,88,89,94,100,101,103,105,107,113,114,116,119,120,122,125,129,
132,133,135,137,140,144,149,154,157,174,287,289,305,306,311,312,315,316,319,
339,341,358,361,365,366,368,381,384,387,388,393,395,416,418,423,675,678,680,
709,712,713,744,754,769,1073],[1,2,3,4,5,6,14,16,17,18,20,21,22,23,24,25,26,
27,28,29,30,31,32,34,38,39,41,81,84,85,86,87,90,91,100,102,103,104,105,106,
107,112,113,114,115,116,117,118,119,120,121,123,124,126,127,130,131,132,134,
135,137,141,142,145,147,148,149,152,153,154,156,167,287,288,290,307,308,309,
310,315,316,317,318,338,339,342,343,344,347,348,359,362,363,365,368,369,372,
374,377,379,382,383,386,387,388,389,400,403,406,409,419,420,421,676,677,680,
714,715,717,718,728,730,734,735,748,755,763,770,1074],[1,2,3,4,5,6,14,15,16,
17,18,20,21,22,23,24,25,27,28,29,30,31,32,34,35,36,37,38,39,40,81,83,84,85,87,
88,89,90,91,94,100,101,102,103,105,106,107,108,113,114,116,117,118,119,120,
122,123,124,126,128,129,130,131,133,134,135,136,142,143,144,146,148,149,150,
151,154,155,156,165,166,287,289,290,300,302,303,305,307,308,310,311,312,313,
314,315,319,320,339,341,343,359,362,364,366,367,370,373,377,378,380,382,384,
385,386,390,401,402,403,411,413,415,417,420,422,676,678,679,701,704,706,708,
716,718,719,720,749,756,765,771,1075],[1,2,3,4,5,6,14,15,16,17,18,22,23,24,25,
26,29,30,31,32,33,34,37,38,39,40,41,82,84,85,86,88,90,91,92,93,94,95,104,105,
106,107,111,112,125,126,127,131,132,133,136,137,140,141,143,146,147,151,152,
155,156,157,158,166,167,291,292,295,296,298,306,308,309,311,314,316,317,320,
321,322,346,347,348,349,391,393,400,402,405,409,410,422,423,433,681,683,687,
690,696,710,712,717,719,774,789,1076],[1,2,3,4,5,6,14,15,16,17,18,21,22,23,24,
25,26,27,28,29,30,31,32,33,34,35,36,38,39,40,82,83,84,85,86,87,88,89,90,91,92,
101,103,106,107,108,119,120,121,123,124,125,126,127,128,129,130,131,132,134,
135,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,158,
165,291,292,293,294,295,297,301,303,306,308,310,312,313,315,317,318,319,320,
381,382,383,386,388,389,390,391,392,394,395,400,401,403,406,407,408,413,414,
417,418,420,421,433,434,435,681,682,684,688,689,693,695,711,713,718,720,768,
770,775,790,1077],[1,2,3,4,5,6,14,15,16,17,18,21,22,23,24,25,27,28,29,30,31,
32,33,34,35,36,37,38,39,40,41,82,83,85,87,88,89,90,92,93,94,95,101,102,104,
105,106,107,108,111,112,119,120,122,123,124,125,126,128,129,130,133,136,137,
140,142,143,144,145,146,148,150,151,153,154,155,157,158,165,166,167,172,173,
174,291,293,294,296,298,302,304,318,319,321,322,340,342,343,346,347,349,350,
381,382,384,385,387,390,392,393,401,402,411,412,415,416,419,434,444,682,683,
691,692,694,731,732,734,769,771,776,1078],[1,2,3,4,5,6,7,8,14,15,16,17,18,19,
22,23,29,31,32,33,34,37,38,39,40,41,42,43,44,45,46,82,88,90,92,93,94,95,96,97,
98,99,104,106,109,110,111,112,125,126,133,136,137,138,139,146,157,158,159,160,
161,162,163,164,166,167,168,169,170,171,175,176,177,178,179,180,181,182,183,
184,185,186,187,188,189,190,191,192,291,296,298,299,321,322,323,324,325,326,
327,328,329,330,331,332,334,335,336,337,345,346,347,351,352,353,354,355,356,
393,396,397,402,404,424,425,428,429,430,436,437,438,439,440,441,443,445,446,
447,448,449,450,451,683,685,697,699,723,724,725,726,737,738,777,778,791,
1079],[1,2,3,4,5,6,14,15,16,17,18,22,23,29,31,32,33,34,37,38,39,40,41,44,45,
82,88,90,92,93,94,95,104,106,110,111,112,125,126,133,136,137,146,157,158,161,
164,166,167,186,291,296,298,321,322,346,347,355,393,398,399,402,442,683,686,
739,779,780,1080],[1,2,3,4,5,6,14,15,16,17,18,22,23,29,31,32,33,34,37,38,39,
40,41,82,88,90,92,93,94,95,104,106,111,112,125,126,133,136,137,146,157,158,
166,167,193,194,291,296,298,321,322,346,347,357,393,402,431,432,452,683,700,
740,781,782,1081],[1,2,3,4,5,6,14,15,16,17,18,22,23,29,31,32,33,34,37,38,39,
40,41,44,45,82,88,90,92,93,94,95,97,104,106,110,111,112,125,126,133,136,137,
146,157,158,166,167,177,178,291,296,298,321,322,328,333,346,347,393,402,426,
427,683,698,783,784,792,1082],[1,2,3,4,5,6,7,8,14,15,19,22,23,28,30,31,32,33,
34,38,39,40,42,43,44,45,82,89,91,92,96,97,98,99,125,126,134,135,138,139,145,
146,158,159,160,161,162,163,164,168,169,170,171,181,182,184,185,291,297,299,
323,324,325,326,394,395,396,397,398,399,403,404,440,442,443,684,685,686,785,
786,787,788,1083],[1,2,3,4,5,6,7,8,14,15,16,17,18,19,22,24,26,29,31,37,38,42,
43,44,45,46,82,84,86,88,90,93,94,96,97,98,99,104,105,109,110,127,133,138,139,
147,175,176,177,178,179,180,181,182,292,296,299,309,311,327,328,329,330,331,
332,333,345,405,424,425,426,427,687,697,698,721,722,793,794,1084],[1,2,3,4,6,
7,8,14,15,19,21,22,23,25,29,32,35,40,41,42,43,44,45,46,82,83,85,95,96,97,98,
99,119,123,128,136,137,138,139,155,173,183,184,185,186,187,188,189,190,191,
192,193,194,293,298,299,334,335,336,337,385,387,412,428,429,430,431,432,453,
454,455,456,692,699,700,772,773,795,796,1085],[1,2,3,4,5,6,7,8,14,15,19,22,24,
27,28,30,32,36,40,41,42,43,44,45,46,82,87,89,95,96,97,98,99,129,130,136,137,
138,139,148,151,174,183,184,185,186,187,188,189,190,191,192,193,194,294,298,
299,334,335,336,337,415,416,419,428,429,430,431,432,457,458,459,460,694,699,
700,797,798,799,800,1086],[1,2,3,4,5,6,7,8,14,15,16,17,18,19,22,25,29,30,31,
37,38,42,43,44,45,46,82,88,90,93,94,96,97,98,99,104,107,109,110,131,132,133,
138,139,156,175,176,177,178,179,180,181,182,295,296,299,327,328,329,330,331,
332,333,345,348,422,423,424,425,426,427,696,697,698,801,802,803,804,1087],[1,
2,3,4,5,6,14,16,17,18,20,21,22,23,24,25,26,28,29,30,31,32,34,35,36,38,39,41,
83,84,86,89,90,100,101,103,104,105,106,107,108,112,113,114,116,117,118,120,
121,122,124,126,127,128,129,131,132,134,135,137,140,141,143,144,145,147,149,
150,151,154,155,156,165,167,172,173,174,300,301,304,305,308,309,312,313,316,
338,339,340,341,344,347,348,349,350,359,360,361,364,368,370,373,375,376,379,
389,400,401,403,407,408,409,412,413,414,416,417,418,435,444,701,703,705,707,
709,717,720,729,730,732,733,747,751,764,790,1088],[1,2,3,4,5,6,14,16,17,18,21,
22,23,24,25,26,27,28,29,30,31,32,33,35,36,38,39,40,83,84,85,86,89,90,91,101,
102,103,104,105,106,107,108,111,118,119,120,121,122,123,124,125,127,128,129,
130,131,132,135,136,140,141,142,143,144,145,146,147,148,149,150,151,152,153,
155,156,158,172,300,301,304,306,307,309,312,314,315,317,320,340,341,342,343,
344,346,348,349,371,372,373,374,375,376,377,380,381,385,388,389,390,391,392,
395,406,408,410,413,415,418,420,433,434,702,703,706,710,713,714,716,731,733,
735,736,757,762,766,775,1089],[1,2,3,4,5,6,14,15,16,17,18,21,22,23,24,25,27,
28,29,30,31,32,33,35,36,37,38,39,40,41,83,84,85,87,88,90,91,94,101,102,103,
105,106,108,118,120,122,123,125,128,130,132,133,134,137,140,142,143,144,145,
146,148,149,150,153,154,155,156,157,158,173,300,302,303,306,307,310,311,313,
316,318,320,341,343,371,374,376,378,379,392,393,394,411,412,414,419,421,423,
434,435,702,704,705,711,712,715,758,767,776,1090],[1,2,3,4,5,7,14,15,16,17,22,
23,24,25,29,33,37,38,41,42,44,45,84,85,88,94,98,105,125,132,133,137,138,140,
157,159,161,163,175,177,178,179,181,187,190,192,306,311,316,331,333,393,396,
423,424,427,429,436,439,712,721,777,784,803,1091],[1,2,3,4,5,14,15,16,17,22,
23,24,25,29,33,37,38,41,45,84,85,88,94,105,125,132,133,137,140,157,161,194,
306,311,316,393,398,423,431,712,779,781,1092],[1,2,3,4,5,8,14,15,16,17,22,23,
24,25,29,33,37,38,41,43,44,45,84,85,88,94,99,105,125,132,133,137,139,140,157,
160,162,164,176,177,178,180,182,188,189,191,306,311,316,332,333,393,397,423,
425,426,430,437,438,712,722,778,783,804,1093],[1,2,3,4,5,14,15,16,17,22,23,24,
25,29,33,37,38,41,44,84,85,88,94,105,125,132,133,137,140,157,164,193,306,311,
316,393,399,423,432,712,780,782,1094],[1,2,3,4,5,6,7,8,14,15,16,17,22,24,29,
30,32,34,37,38,40,42,43,44,45,46,84,88,91,94,98,99,105,126,131,133,136,138,
139,151,166,168,169,170,171,175,176,177,178,179,180,181,182,183,184,185,186,
308,311,314,331,332,333,402,404,422,424,425,426,427,428,445,446,447,448,719,
721,722,791,792,801,802,1095],[1,2,3,4,5,6,7,8,16,18,19,20,22,23,28,31,32,33,
38,39,40,42,43,44,45,46,100,104,106,109,110,111,113,117,125,134,136,138,139,
145,146,158,159,160,161,162,163,164,181,182,183,184,185,186,338,345,346,351,
353,355,358,367,394,396,397,398,399,428,440,441,442,443,727,737,739,745,746,
785,786,1096],[1,2,3,4,5,6,7,8,16,17,18,19,22,23,24,28,29,31,34,35,36,38,39,
41,42,43,44,45,46,101,104,105,108,109,110,112,126,128,129,137,138,139,145,150,
165,167,168,169,170,171,172,173,174,181,182,187,188,189,190,191,192,193,194,
340,345,347,350,352,354,356,357,401,404,412,416,429,430,431,432,444,449,450,
451,452,453,454,455,456,457,458,459,460,732,738,740,741,742,795,796,797,798,
805,806,1097],[1,2,3,4,5,6,7,8,16,18,19,21,22,25,27,30,31,34,38,41,42,43,44,
45,46,102,104,107,109,110,112,119,124,126,130,137,138,139,153,167,168,169,170,
171,181,182,187,188,189,190,191,192,193,194,342,345,347,352,354,356,357,382,
387,404,419,429,430,431,432,449,450,451,452,734,738,740,772,773,799,800,
1098],[1,2,3,4,5,6,7,8,16,18,19,21,22,23,30,31,32,33,38,39,40,42,43,44,45,46,
103,104,106,109,110,111,118,124,125,135,136,138,139,146,158,159,160,161,162,
163,164,181,182,183,184,185,186,344,345,346,351,353,355,371,380,395,396,397,
398,399,428,440,441,442,443,736,737,739,759,760,787,788,1099],[1,3,4,20,22,23,
26,27,29,30,33,35,37,41,113,115,116,125,127,128,130,131,133,135,137,141,142,
143,144,157,173,358,360,362,363,364,366,368,391,392,393,395,405,406,408,409,
411,412,413,419,420,422,743,744,750,751,755,756,774,775,776,1100],[1,3,4,7,20,
22,23,29,30,33,37,41,42,45,113,116,125,133,135,137,138,144,157,159,161,163,
175,178,179,187,190,192,358,366,368,393,395,396,398,424,429,436,439,744,745,
777,779,787,1101],[1,3,4,8,20,22,23,29,30,33,37,41,43,44,113,116,125,133,135,
137,139,144,157,160,162,164,176,177,180,188,189,191,358,366,368,393,395,397,
399,425,430,437,438,744,746,778,780,788,1102],[1,3,4,20,22,23,29,30,33,37,41,
44,113,116,125,133,135,137,144,157,177,194,358,366,368,393,395,427,431,744,
781,784,1103],[1,3,4,20,22,23,29,30,33,37,41,45,113,116,125,133,135,137,144,
157,178,193,358,366,368,393,395,426,432,744,782,783,1104],[1,3,4,5,6,20,21,22,
23,24,25,26,27,28,29,30,31,32,34,35,36,37,39,40,113,114,115,116,117,118,119,
121,122,123,126,127,128,129,130,132,133,134,135,136,140,141,142,144,146,147,
148,150,151,152,153,154,155,156,165,166,359,360,361,363,365,366,367,369,370,
372,374,375,376,378,380,382,383,384,385,388,400,401,402,403,405,406,407,408,
410,411,414,415,418,421,423,433,434,747,748,749,750,752,753,754,761,762,766,
767,770,771,789,790,1105],[1,3,4,5,6,21,22,23,24,25,26,28,29,30,31,32,33,36,
37,38,39,40,41,118,119,120,121,122,123,124,125,127,129,131,133,134,137,140,
141,143,145,146,147,149,150,151,152,154,156,157,158,174,371,372,373,375,377,
378,379,381,383,384,386,387,389,390,391,393,394,405,407,409,416,417,422,433,
435,757,758,761,763,764,765,768,769,774,1106],[1,3,4,5,6,7,21,22,23,28,29,31,
32,33,37,38,39,40,41,42,44,45,118,122,123,125,133,134,137,138,145,146,157,158,
159,161,163,164,175,178,179,181,185,187,190,192,371,378,379,393,394,396,399,
424,429,436,439,440,442,758,759,777,780,785,1107],[1,3,4,5,6,8,21,22,23,28,29,
31,32,33,37,38,39,40,41,43,44,45,118,122,123,125,133,134,137,139,145,146,157,
158,160,161,162,164,176,177,180,182,184,188,189,191,371,378,379,393,394,397,
398,425,430,437,438,442,443,758,760,778,779,786,1108],[1,3,4,5,6,21,22,23,28,
29,31,32,33,37,38,39,40,41,45,118,122,123,125,133,134,137,145,146,157,158,178,
194,371,378,379,393,394,426,431,758,781,783,1109],[1,3,4,5,6,21,22,23,28,29,
31,32,33,37,38,39,40,41,44,118,122,123,125,133,134,137,145,146,157,158,177,
193,371,378,379,393,394,427,432,758,782,784,1110],[1,3,4,5,7,21,22,23,24,25,
28,29,33,36,37,41,42,45,119,120,122,125,129,133,137,138,140,154,157,159,161,
163,174,175,178,179,187,190,192,194,381,384,387,393,396,416,424,429,431,436,
439,457,458,769,772,777,781,797,1111],[1,3,4,5,21,22,23,24,25,28,29,33,36,37,
41,44,45,119,120,122,125,129,133,137,140,154,157,161,174,177,381,384,387,393,
398,416,427,769,779,784,1112],[1,3,4,5,8,21,22,23,24,25,28,29,33,36,37,41,43,
44,119,120,122,125,129,133,137,139,140,154,157,160,162,164,174,176,177,180,
188,189,191,193,381,384,387,393,397,416,425,430,432,437,438,459,460,769,773,
778,782,798,1113],[1,3,4,5,21,22,23,24,25,28,29,33,36,37,41,44,45,119,120,122,
125,129,133,137,140,154,157,164,174,178,381,384,387,393,399,416,426,769,780,
783,1114],[1,3,4,7,22,23,26,29,30,33,37,41,42,45,125,127,131,133,137,138,141,
143,157,159,161,163,175,178,179,187,190,192,391,393,396,405,409,422,424,426,
429,436,439,774,777,783,793,801,1115],[1,3,4,8,22,23,26,29,30,33,37,41,43,44,
125,127,131,133,137,139,141,143,157,160,162,164,176,177,180,188,189,191,391,
393,397,405,409,422,425,427,430,437,438,774,778,784,794,802,1116],[1,3,4,22,
23,26,29,30,33,37,41,45,125,127,131,133,137,141,143,157,161,193,391,393,398,
405,409,422,432,774,779,782,1117],[1,3,4,22,23,26,29,30,33,37,41,44,125,127,
131,133,137,141,143,157,164,194,391,393,399,405,409,422,431,774,780,781,
1118],[1,3,4,7,22,23,27,29,30,33,35,37,41,42,45,125,128,130,133,137,138,142,
143,144,157,159,161,163,173,175,178,179,187,190,192,193,392,393,396,411,412,
419,424,429,432,436,439,453,454,776,777,782,795,799,1119],[1,3,4,8,22,23,27,
29,30,33,35,37,41,43,44,125,128,130,133,137,139,142,143,144,157,160,162,164,
173,176,177,180,188,189,191,194,392,393,397,411,412,419,425,430,431,437,438,
455,456,776,778,781,796,800,1120],[1,3,4,22,23,27,29,30,33,35,37,41,45,125,
128,130,133,137,142,143,144,157,161,173,178,392,393,398,411,412,419,426,776,
779,783,1121],[1,3,4,22,23,27,29,30,33,35,37,41,44,125,128,130,133,137,142,
143,144,157,164,173,177,392,393,399,411,412,419,427,776,780,784,1122],[1,3,4,
6,7,8,22,25,26,29,32,34,37,40,42,43,44,45,46,126,127,132,133,136,138,139,152,
155,166,168,169,170,171,175,176,177,178,179,180,183,184,185,186,400,402,404,
405,410,423,424,425,426,427,428,445,446,447,448,789,791,792,793,794,803,804,
1123],[1,2,3,9,11,14,20,21,50,51,54,58,81,197,218,223,224,229,231,244,462,470,
541,556,807,825,827,1124],[1,2,3,5,9,11,12,14,16,26,50,51,52,65,86,196,218,
219,225,260,261,471,542,576,828,1125],[1,2,3,5,9,11,14,16,26,50,51,52,54,56,
58,86,197,218,219,225,229,232,252,462,470,472,542,565,807,811,829,1126],[1,2,
3,5,9,12,13,14,16,26,50,51,52,66,86,199,218,219,225,261,262,473,542,577,830,
1127],[1,2,3,5,9,11,14,27,28,50,51,52,54,56,58,87,197,218,226,227,229,234,253,
462,470,472,543,573,807,831,832,1128],[1,2,3,4,9,11,14,15,22,50,51,53,54,55,
58,67,68,82,197,218,220,221,228,229,248,462,470,480,481,544,807,812,813,833,
1129],[1,2,3,4,9,11,14,21,23,50,51,54,55,58,68,83,197,218,224,229,230,231,249,
462,470,481,545,561,807,827,834,1130],[1,2,3,4,5,9,11,14,15,16,17,29,50,51,52,
54,55,56,58,68,88,197,218,219,221,222,229,232,233,237,254,462,470,472,481,546,
551,807,811,813,814,835,1131],[1,2,3,5,9,11,14,28,30,50,51,52,54,56,58,89,197,
218,226,229,234,235,255,462,470,472,547,569,807,831,836,1132],[1,2,3,4,9,10,
14,15,22,50,51,53,54,55,57,59,60,82,195,218,220,221,228,229,239,461,464,465,
466,467,544,808,809,810,816,818,1133],[1,2,4,7,9,10,15,42,44,50,54,55,60,62,
63,98,195,221,266,461,467,468,810,820,822,1134],[1,2,4,8,9,10,15,43,45,50,54,
55,60,61,64,99,195,221,265,461,467,469,810,821,823,1135],[1,2,3,5,9,10,16,20,
28,50,51,52,54,100,195,219,223,226,242,243,461,548,579,824,1136],[1,2,3,5,9,
11,16,20,28,50,51,52,54,56,58,100,197,219,223,226,232,234,244,462,470,472,548,
557,811,825,831,1137],[1,2,3,5,9,10,12,16,20,28,50,51,52,57,100,198,219,223,
226,243,245,463,548,580,826,1138],[1,2,3,5,9,11,16,21,27,50,51,52,54,56,58,
102,197,219,224,227,231,232,253,462,470,472,549,575,811,827,832,1139],[1,2,3,
4,5,9,11,14,16,17,22,24,50,51,52,53,54,55,56,58,67,68,84,197,219,220,222,228,
232,236,237,248,462,470,472,480,481,550,811,812,814,833,844,1140],[1,2,3,4,5,
9,11,16,17,23,28,36,50,51,52,54,55,56,58,68,101,197,219,222,226,230,232,234,
237,238,249,462,470,472,481,552,570,811,814,831,834,845,1141],[1,2,3,5,9,11,
16,21,30,50,51,52,54,56,58,103,197,219,224,231,232,235,255,462,470,472,553,
562,811,827,836,1142],[1,2,3,5,9,11,14,27,28,50,53,54,65,67,69,87,197,220,270,
462,480,482,812,851,852,1143],[1,2,3,5,9,11,14,28,30,50,53,54,65,67,69,89,197,
220,270,462,480,482,812,852,853,1144],[1,2,3,6,9,11,14,30,32,50,53,54,67,70,
71,91,197,220,274,462,480,483,812,853,854,1145],[1,2,4,6,9,11,15,40,41,50,54,
55,68,70,71,95,197,221,276,462,481,483,813,857,858,1146],[1,2,4,7,8,9,10,15,
19,42,43,50,54,55,57,59,60,61,62,63,64,96,195,221,239,240,241,263,264,265,266,
464,466,467,468,469,581,816,817,819,820,821,1147],[1,2,4,9,10,15,44,45,50,54,
55,57,59,60,97,195,221,239,464,466,467,816,822,823,1148],[1,3,4,7,9,10,22,42,
45,51,53,55,60,62,63,138,195,228,266,465,467,468,818,820,823,1149],[1,3,4,8,9,
10,22,43,44,51,53,55,60,61,64,139,195,228,265,465,467,469,818,821,822,1150],[
1,2,3,9,10,14,20,21,50,51,59,81,195,218,223,224,242,243,464,541,583,589,824,
1151],[1,3,9,10,20,26,27,51,53,115,195,223,225,227,242,243,465,554,586,824,
1152],[1,3,4,9,10,20,22,23,51,53,55,113,195,223,228,230,242,243,465,555,584,
824,1153],[1,2,3,9,10,14,20,21,50,51,54,81,195,223,229,231,242,243,461,556,
583,824,1154],[1,2,3,5,9,10,16,20,28,51,54,56,57,100,195,223,232,234,242,243,
466,557,579,580,824,1155],[1,3,4,9,10,20,29,30,51,55,60,116,195,223,233,235,
242,243,467,558,587,590,824,1156],[1,3,9,11,20,26,27,51,58,115,197,223,225,
227,244,252,253,470,554,594,825,829,832,1157],[1,3,4,9,11,20,22,23,51,53,55,
58,67,68,113,197,223,228,230,244,248,249,470,480,481,555,592,825,833,834,
1158],[1,3,4,9,11,20,29,30,51,55,58,68,116,197,223,233,235,244,254,255,470,
481,558,595,825,835,836,1159],[1,3,5,9,11,20,24,25,51,58,65,69,114,197,223,
244,246,247,250,251,470,482,591,593,825,837,838,1160],[1,3,5,6,9,11,20,31,32,
51,58,65,69,70,71,117,197,223,244,256,257,258,259,470,482,483,596,597,825,839,
840,1161],[1,2,3,9,10,12,14,20,21,51,54,59,81,198,223,229,231,243,245,484,556,
589,826,1162],[1,3,4,9,10,12,20,29,30,51,55,60,73,116,198,223,233,235,243,245,
485,558,590,599,826,1163],[1,3,5,9,11,21,26,28,51,52,56,58,121,197,224,225,
226,231,234,252,470,472,559,567,827,829,831,1164],[1,3,4,9,11,21,22,51,53,55,
58,67,68,118,197,224,228,231,248,470,480,481,560,827,833,1165],[1,3,4,5,9,11,
21,28,29,51,52,55,56,58,68,122,197,224,226,231,233,234,254,470,472,481,563,
571,827,831,835,1166],[1,3,9,11,12,20,26,27,51,67,115,196,223,225,227,260,261,
474,554,632,828,1167],[1,3,5,9,11,12,21,26,28,51,52,69,72,121,196,224,225,226,
260,261,475,559,633,636,828,1168],[1,3,4,9,11,12,22,26,29,51,53,55,58,127,196,
225,228,233,260,261,476,564,601,828,1169],[1,2,3,5,9,11,12,14,16,26,51,54,56,
65,66,86,196,225,229,232,260,261,478,565,576,577,828,1170],[1,3,4,9,11,12,23,
26,30,51,55,68,73,141,196,225,230,235,260,261,477,566,634,637,828,1171],[1,3,
5,9,11,12,21,26,28,51,56,69,121,196,225,231,234,260,261,479,567,633,828,
1172],[1,3,4,9,11,22,26,29,51,53,55,58,67,68,127,197,225,228,233,248,252,254,
470,480,481,564,616,829,833,835,1173],[1,3,4,9,11,23,26,30,51,55,58,68,141,
197,225,230,235,249,252,255,470,481,566,620,829,834,836,1174],[1,3,5,6,9,11,
24,26,31,51,58,65,69,70,71,147,197,225,246,250,252,256,258,470,482,483,604,
624,829,837,839,1175],[1,3,6,9,11,25,26,32,51,58,70,71,152,197,225,247,251,
252,257,259,470,483,612,628,829,838,840,1176],[1,3,4,9,12,13,23,26,30,51,55,
73,75,141,199,225,230,235,261,262,486,566,637,638,830,1177],[1,3,5,9,12,13,21,
26,28,51,56,72,121,199,225,231,234,261,262,487,567,636,830,1178],[1,3,4,5,9,
11,22,24,28,36,51,52,53,55,56,58,67,68,129,197,226,228,234,236,238,248,470,
472,480,481,568,831,833,844,845,1179],[1,3,4,9,11,22,27,30,51,53,55,58,67,68,
130,197,227,228,235,248,253,255,470,480,481,572,617,832,833,836,1180],[1,3,4,
9,11,23,27,29,51,55,58,68,142,197,227,230,233,249,253,254,470,481,574,621,832,
834,835,1181],[1,3,5,6,9,11,24,27,32,51,58,65,69,70,71,148,197,227,246,250,
253,257,259,470,482,483,605,625,832,837,840,1182],[1,3,5,6,9,11,25,27,31,51,
58,65,69,70,71,153,197,227,247,251,253,256,258,470,482,483,613,629,832,838,
839,1183],[1,3,4,9,11,22,27,30,51,53,55,58,67,68,130,197,228,248,470,480,481,
833,851,853,1184],[1,3,4,5,9,11,22,24,28,36,51,53,55,58,65,67,68,69,129,197,
228,246,248,250,270,271,470,480,481,482,602,833,837,852,855,1185],[1,3,4,9,11,
22,30,51,53,55,58,67,68,131,197,228,248,470,480,481,833,853,1186],[1,3,4,9,11,
22,25,51,53,55,58,67,68,132,197,228,247,248,251,470,480,481,610,833,838,
1187],[1,3,4,5,6,9,11,22,28,31,32,39,51,53,55,58,65,67,68,69,70,71,134,197,
228,248,256,258,270,272,274,275,470,480,481,482,483,618,833,839,852,854,856,
1188],[1,3,4,9,11,22,30,51,53,55,58,67,68,135,197,228,248,470,480,481,833,853,
1189],[1,3,4,6,9,11,22,32,40,51,53,55,58,67,68,70,71,136,197,228,248,257,259,
274,276,470,480,481,483,619,833,840,854,857,1190],[1,3,4,9,11,22,41,51,53,55,
58,67,68,137,197,228,248,470,480,481,833,858,1191],[1,3,4,5,9,11,23,24,25,51,
55,58,65,68,69,140,197,230,246,247,249,250,251,470,481,482,603,611,834,837,
838,1192],[1,3,4,5,6,9,11,23,31,32,39,40,51,55,58,65,68,69,70,71,146,197,230,
249,256,257,258,259,272,275,276,470,481,482,483,622,623,834,839,840,856,857,
1193],[1,3,4,5,6,9,11,24,29,31,36,39,51,55,58,65,68,69,70,71,150,197,233,246,
250,254,256,258,271,272,275,470,481,482,483,606,626,835,837,839,855,856,
1194],[1,3,4,6,9,11,25,29,32,51,55,58,68,70,71,155,197,233,247,251,254,257,
259,470,481,483,614,630,835,838,840,1195],[1,3,5,6,9,11,24,30,32,51,58,65,69,
70,71,151,197,235,246,250,255,257,259,470,482,483,607,627,836,837,840,1196],[
1,3,5,6,9,11,25,30,31,51,58,65,69,70,71,156,197,235,247,251,255,256,258,470,
482,483,615,631,836,838,839,1197],[1,3,4,5,9,11,12,22,24,28,36,51,52,53,55,56,
58,65,66,67,68,69,72,73,129,196,226,228,234,236,238,246,248,250,270,271,273,
471,474,475,476,477,478,479,568,602,841,842,843,847,848,849,850,1198],[1,3,5,
6,9,11,24,27,32,52,53,56,67,70,71,148,197,236,274,472,480,483,844,851,854,
1199],[1,3,5,9,11,24,28,30,52,53,56,65,67,69,149,197,236,270,472,480,482,844,
852,853,1200],[1,3,5,6,9,11,24,30,32,52,53,56,67,70,71,151,197,236,274,472,
480,483,844,853,854,1201],[1,4,5,9,11,36,41,52,55,56,65,68,69,174,197,238,271,
472,481,482,845,855,858,1202],[1,3,5,9,11,12,20,24,25,52,58,65,114,196,242,
244,245,246,247,471,585,591,859,1203],[1,3,4,9,11,12,20,22,23,51,58,67,68,113,
196,242,244,245,248,249,474,584,592,859,1204],[1,3,5,9,11,12,20,24,25,52,58,
69,72,114,196,242,244,245,250,251,475,585,593,598,859,1205],[1,3,9,11,12,20,
26,27,53,58,115,196,242,244,245,252,253,476,586,594,859,1206],[1,3,4,9,11,12,
20,29,30,55,58,68,73,116,196,242,244,245,254,255,477,587,595,599,859,1207],[1,
3,5,6,9,11,12,20,31,32,56,58,65,66,70,117,196,242,244,245,256,257,478,588,596,
600,859,1208],[1,3,5,6,9,11,12,20,31,32,56,58,69,71,117,196,242,244,245,258,
259,479,588,597,859,1209],[1,3,5,10,11,12,20,24,25,58,65,72,114,200,243,244,
245,246,247,490,591,598,860,1210],[1,3,4,10,11,12,20,29,30,58,60,68,73,116,
200,243,244,245,254,255,491,590,595,599,860,1211],[1,3,5,6,10,11,12,20,31,32,
58,66,69,71,117,200,243,244,245,258,259,492,597,600,860,1212],[1,3,5,6,11,13,
24,26,31,58,65,70,74,147,205,246,252,256,260,262,512,604,608,609,861,1213],[1,
3,4,11,13,22,26,29,58,67,68,127,205,248,252,254,260,262,511,601,616,861,
1214],[1,3,5,6,11,13,24,26,31,58,69,70,71,147,205,250,252,258,260,262,513,608,
624,861,1215],[1,3,5,6,11,12,13,24,26,31,58,69,71,74,147,206,250,252,258,261,
262,514,609,624,862,1216],[1,3,11,13,20,26,27,58,67,115,205,244,252,253,260,
262,511,594,632,861,1217],[1,3,4,11,13,23,26,30,58,68,75,141,205,249,252,255,
260,262,515,620,634,638,861,1218],[1,3,6,11,13,25,26,32,58,70,71,152,205,247,
252,257,260,262,513,612,635,861,1219],[1,3,6,11,13,25,26,32,58,71,80,152,205,
251,252,259,260,262,518,628,635,639,861,1220],[1,3,4,11,12,13,23,26,30,58,68,
73,75,141,206,249,252,255,261,262,519,620,637,638,862,1221],[1,3,6,11,12,13,
25,26,32,58,70,80,152,206,247,252,257,261,262,520,612,639,862,1222],[1,2,4,7,
8,10,13,15,19,42,43,57,59,60,61,62,63,64,75,76,77,96,202,239,240,241,263,264,
265,266,280,488,496,497,498,499,581,863,864,865,871,872,1223],[1,2,4,7,10,13,
15,42,44,57,59,60,75,78,79,98,202,239,281,488,496,500,863,873,874,1224],[1,2,
4,6,10,13,15,40,41,57,59,60,74,75,80,95,202,239,278,488,496,501,863,875,876,
1225],[1,2,4,7,8,10,13,15,19,42,43,57,59,60,61,62,63,64,75,78,79,96,204,239,
240,241,263,264,265,266,281,489,505,506,507,508,581,866,867,868,880,882,
1226],[1,2,4,8,10,13,15,43,45,57,59,60,75,76,77,99,204,239,280,489,507,509,
867,883,884,1227],[1,2,4,6,10,13,15,40,41,57,59,60,74,75,80,95,204,239,278,
489,507,510,867,885,886,1228],[1,4,6,7,8,10,13,40,42,43,46,60,61,64,74,75,76,
77,78,79,80,183,202,265,277,278,279,280,281,282,283,496,497,499,500,501,655,
871,873,875,877,878,1229],[1,4,8,10,13,41,43,44,60,61,64,75,76,77,191,202,265,
280,496,497,499,871,874,876,1230],[1,4,7,10,13,41,42,60,62,63,75,78,79,190,
202,266,281,496,498,500,872,873,876,1231],[1,4,6,7,10,13,40,42,44,60,62,63,74,
75,80,185,202,266,278,496,498,501,872,874,875,1232],[1,4,6,7,8,10,13,40,42,43,
46,60,62,63,74,75,76,77,78,79,80,183,204,266,277,278,279,280,281,282,283,505,
507,508,509,510,655,880,881,883,886,887,1233],[1,4,7,10,13,41,42,45,60,62,63,
75,78,79,187,204,266,281,505,507,508,880,884,885,1234],[1,4,8,10,13,41,43,60,
61,64,75,76,77,188,204,265,280,506,507,509,882,883,885,1235],[1,4,6,8,10,13,
40,43,45,60,61,64,74,75,80,184,204,265,278,506,507,510,882,884,886,1236],[1,3,
4,6,11,13,22,32,40,58,67,68,70,71,74,75,80,136,205,248,257,259,274,276,278,
511,512,513,515,518,619,888,889,890,891,893,1237],[1,3,4,8,11,13,22,43,44,58,
67,68,75,76,77,139,205,248,280,511,515,516,889,895,896,1238],[1,3,4,7,11,13,
22,42,45,58,67,68,75,78,79,138,205,248,281,511,515,517,889,897,898,1239],[1,4,
6,7,8,11,13,40,42,43,46,68,70,71,74,75,76,77,78,79,80,183,205,276,277,278,279,
280,281,282,283,512,515,516,517,518,655,891,892,895,897,899,1240],[1,4,6,11,
13,40,44,45,68,70,71,74,75,80,186,205,276,278,512,515,518,891,896,898,1241],[
1,4,6,8,11,13,40,43,45,68,70,71,75,76,77,184,205,276,280,513,515,516,893,895,
898,1242],[1,4,6,7,11,13,40,42,44,68,70,71,75,78,79,185,205,276,281,513,515,
517,893,896,897,1243],[1,4,5,12,36,41,66,72,73,174,207,273,521,523,900,903,
1244],[1,4,5,12,36,41,66,72,73,174,208,273,522,524,901,905,1245],[1,4,12,41,
45,73,192,207,523,902,903,1246],[1,4,12,41,73,194,207,523,903,1247],[1,4,12,
41,44,73,189,208,524,904,905,1248],[1,4,12,41,73,193,208,524,905,1249],[1,3,4,
20,21,22,23,34,47,113,118,126,209,210,211,359,525,526,527,532,534,906,909,910,
1250],[1,3,4,20,22,23,26,27,29,30,47,113,115,116,127,130,141,142,209,210,211,
363,525,526,527,528,529,530,531,906,907,908,911,912,915,916,1251],[1,3,4,20,
21,22,23,25,47,113,119,132,209,210,211,365,525,526,527,532,533,906,913,914,
1252],[1,3,4,22,25,26,29,34,47,126,127,132,209,210,211,400,526,528,530,533,
534,909,911,914,1253],[1,3,4,21,22,25,27,30,34,47,119,126,130,209,210,211,382,
526,529,531,532,533,534,909,912,913,1254],[1,3,4,21,22,25,26,29,47,118,119,
127,209,210,211,372,526,528,530,532,533,910,911,913,1255],[1,3,4,21,22,25,27,
30,47,118,130,132,209,210,211,374,526,529,531,532,533,910,912,914,1256],[1,9,
10,11,12,13,195,196,197,198,199,200,201,202,203,204,205,206,207,208,657,658,
659,660,661,1257],[1,3,9,11,47,51,58,197,210,284,285,470,662,665,919,1258],[1,
3,9,11,47,53,67,197,209,284,285,480,663,666,919,1259],[1,4,9,11,47,55,68,197,
211,284,285,481,664,667,919,1260],[1,2,3,4,5,9,14,15,16,17,20,21,22,23,24,26,
27,28,29,30,36,50,51,52,53,54,55,56,81,82,83,84,86,87,88,89,100,101,102,103,
113,115,116,118,121,122,127,129,130,141,142,218,219,220,221,222,223,224,225,
226,227,228,229,230,231,232,233,234,235,236,237,238,286,288,289,292,294,301,
302,305,307,363,375,541,542,543,544,545,546,547,548,549,550,551,552,553,554,
555,556,557,558,559,560,561,562,563,564,565,566,567,568,569,570,571,572,573,
574,575,671,920,921,922,923,924,925,926,927,928,929,930,931,932,933,934,
1261],[1,2,3,4,5,11,14,15,16,17,20,21,22,23,24,25,26,29,35,58,65,81,82,83,84,
85,86,88,113,114,118,119,120,127,128,244,246,247,260,286,287,292,293,300,360,
372,576,591,601,669,935,970,980,1262],[1,2,3,4,5,9,14,16,17,20,21,22,23,24,25,
28,33,36,51,54,81,84,85,100,101,113,114,119,120,125,129,132,140,223,229,231,
242,287,305,306,358,361,365,381,556,579,584,675,936,956,963,1263],[1,2,3,4,5,
11,14,15,16,17,20,21,22,23,24,26,27,28,29,30,36,58,65,67,68,69,81,82,83,84,86,
87,88,89,100,101,102,103,113,115,116,118,121,122,127,129,130,141,142,246,248,
250,260,270,271,286,288,289,292,294,301,302,305,307,363,375,576,601,602,632,
633,634,671,935,938,939,981,982,1264],[1,2,3,4,5,11,14,15,16,17,22,23,24,25,
26,29,30,33,34,58,65,68,82,84,85,86,88,92,125,126,127,131,132,140,141,143,246,
249,251,260,291,292,295,306,308,391,400,576,601,603,634,681,935,983,984,
1265],[1,2,3,4,5,6,11,14,15,16,17,18,22,24,26,29,31,37,38,58,65,70,82,84,86,
88,90,93,94,104,105,127,133,147,246,252,256,260,292,296,309,311,405,576,601,
604,608,687,935,937,985,1266],[1,2,3,4,5,6,11,14,15,16,17,22,24,26,27,28,29,
30,31,32,36,39,58,65,70,82,84,86,87,88,89,91,127,129,130,134,135,147,148,149,
150,246,253,257,260,292,294,297,310,312,406,407,576,601,605,608,688,935,986,
987,1267],[1,2,3,4,5,6,11,14,15,16,17,18,21,22,23,24,25,26,28,29,30,31,32,35,
36,39,58,65,68,69,71,82,83,84,85,86,88,89,90,91,101,103,106,107,108,119,121,
123,127,128,134,135,141,144,150,152,154,246,254,258,260,271,272,292,293,297,
301,303,313,315,317,319,383,408,576,601,606,633,634,635,689,935,939,940,988,
990,1268],[1,2,3,4,5,6,11,14,15,16,17,22,24,25,26,29,30,32,40,41,58,65,71,82,
84,86,88,91,95,127,131,132,136,137,151,152,155,246,255,259,260,292,295,298,
314,316,409,410,576,601,607,635,690,935,989,991,1269],[1,2,3,4,5,6,13,14,15,
16,17,18,22,24,26,29,31,37,38,74,82,84,86,88,90,93,94,104,105,127,133,147,262,
269,292,296,309,311,405,578,609,687,992,1270],[1,2,3,4,5,9,14,15,16,17,20,21,
22,23,24,26,27,28,29,30,36,50,51,53,54,55,81,82,83,84,86,87,88,89,100,101,102,
103,113,115,116,118,121,122,127,129,130,141,142,218,220,221,228,229,242,286,
288,289,292,294,301,302,305,307,363,375,544,579,583,584,586,587,671,936,945,
946,953,961,1271],[1,2,3,4,5,9,14,16,17,20,21,22,23,24,28,29,30,34,35,36,51,
54,55,83,84,100,101,113,116,118,120,126,128,129,131,143,165,224,229,230,242,
300,305,308,359,364,373,401,561,579,584,587,701,936,957,962,1272],[1,2,3,4,5,
6,9,14,16,17,18,20,22,23,24,26,28,29,31,32,35,36,38,39,51,54,56,84,86,90,100,
101,104,105,106,108,113,117,127,128,129,134,145,147,150,172,225,229,232,242,
305,309,313,338,340,360,407,565,579,584,588,707,936,947,958,1273],[1,2,3,4,5,
6,9,14,16,17,20,22,23,24,27,28,30,31,32,36,39,40,51,54,56,84,87,91,100,101,
113,117,129,130,131,134,136,146,148,149,151,227,229,234,242,305,310,314,362,
367,415,417,573,579,584,588,708,936,960,965,1274],[1,2,3,4,5,9,14,15,16,17,20,
21,22,23,24,25,28,29,30,36,37,38,50,51,52,54,55,81,84,85,88,89,94,100,101,103,
105,107,113,114,116,119,120,122,129,133,135,144,149,154,219,221,229,233,237,
242,287,289,305,311,312,315,319,339,341,366,384,551,579,583,584,585,587,678,
936,946,948,954,964,1275],[1,2,3,4,5,9,14,16,17,20,22,23,24,25,28,30,36,41,51,
52,54,84,89,100,101,113,114,129,132,135,137,140,149,174,226,229,235,242,305,
312,316,361,368,416,418,569,579,584,585,709,936,959,966,1276],[1,2,3,4,5,6,11,
14,16,17,18,20,22,23,24,26,28,29,31,32,35,36,38,39,58,65,70,84,86,90,100,101,
104,105,106,108,113,117,127,128,129,134,145,147,150,172,244,256,257,260,305,
309,313,338,340,360,407,576,596,601,608,707,937,970,987,1277],[1,2,3,4,5,6,12,
14,16,17,18,20,22,23,24,26,28,29,31,32,35,36,38,39,66,84,86,90,100,101,104,
105,106,108,113,117,127,128,129,134,145,147,150,172,245,261,268,305,309,313,
338,340,360,407,577,600,647,707,971,1278],[1,2,3,4,5,6,11,14,16,17,18,21,22,
24,25,26,27,29,30,31,38,58,65,70,84,86,90,102,103,104,105,107,118,119,124,127,
130,135,147,153,247,253,256,260,307,309,315,342,344,372,406,576,601,608,613,
714,937,980,986,1279],[1,2,3,4,5,6,11,14,16,17,18,20,21,22,23,24,25,26,27,28,
29,30,31,32,38,39,58,65,67,68,69,70,71,81,84,85,86,87,90,91,100,102,104,105,
106,107,113,114,115,116,117,119,120,121,123,124,127,130,134,141,142,145,147,
148,149,152,153,154,248,256,258,260,270,272,274,275,287,288,290,309,310,317,
318,338,339,342,343,363,369,383,389,576,601,608,618,632,633,634,635,677,937,
938,940,981,990,997,998,1280],[1,2,3,4,5,6,11,14,16,17,18,21,22,23,24,26,28,
29,30,31,35,36,38,39,58,65,68,69,70,83,84,86,89,90,101,103,104,105,108,118,
120,121,122,124,127,128,129,135,141,144,145,147,149,150,172,250,254,256,260,
271,275,300,301,304,309,312,340,341,344,375,389,408,576,601,608,626,633,634,
703,937,939,982,988,998,1281],[1,2,3,4,5,6,11,14,16,17,18,22,23,24,25,26,29,
30,31,32,33,38,39,40,58,65,68,70,71,84,85,86,90,91,104,105,106,107,111,125,
127,131,132,136,140,141,143,146,147,151,152,155,156,158,249,256,259,260,272,
276,306,309,314,317,320,346,348,349,391,410,433,576,601,608,622,634,635,710,
937,940,983,991,999,1282],[1,2,3,4,5,6,11,14,16,17,18,22,24,25,26,29,30,31,34,
38,41,58,65,70,84,86,90,104,105,107,112,126,127,131,132,137,147,156,167,251,
255,256,260,308,309,316,347,348,400,409,576,601,608,631,717,937,984,989,
1283],[1,2,4,6,7,8,13,15,18,19,33,34,37,40,41,42,43,44,45,46,74,75,76,77,78,
79,80,92,93,95,96,98,99,109,110,111,112,157,159,160,162,163,166,168,169,171,
175,176,179,180,183,184,185,187,188,190,191,269,277,278,279,280,281,282,283,
321,323,325,327,329,334,336,351,352,353,354,436,437,445,446,578,649,650,651,
652,653,654,655,723,942,943,944,1010,1011,1012,1013,1284],[1,2,3,4,5,6,9,14,
16,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,38,39,50,51,52,53,54,55,56,81,
84,85,86,87,90,91,100,102,104,105,106,107,113,114,115,116,117,119,120,121,123,
124,127,130,134,141,142,145,147,148,149,152,153,154,219,220,222,228,232,236,
237,242,287,288,290,309,310,317,318,338,339,342,343,363,369,383,389,550,579,
583,584,585,586,587,588,677,945,947,948,954,955,961,967,1285],[1,2,3,4,5,6,9,
14,15,16,17,18,20,21,22,23,28,29,30,31,32,37,38,39,50,51,54,55,56,81,82,83,88,
89,90,91,93,94,100,103,104,106,113,116,117,118,122,123,124,133,134,135,144,
145,218,221,222,232,233,242,286,289,290,296,297,303,304,338,344,366,378,546,
579,583,584,587,588,673,946,947,953,955,964,1286],[1,2,3,4,5,6,9,16,18,20,22,
23,28,31,32,33,38,39,40,51,54,56,100,104,106,111,113,117,125,134,136,145,146,
158,223,232,234,242,338,346,358,367,394,557,579,584,588,727,947,956,965,
1287],[1,2,3,4,5,6,9,16,18,20,21,22,23,25,27,28,30,31,32,38,39,51,54,56,100,
102,104,106,107,113,117,119,124,130,131,132,134,145,153,156,227,231,232,242,
338,342,348,362,365,386,421,575,579,584,588,728,947,960,963,1288],[1,2,3,4,5,
6,9,16,17,18,20,22,23,24,25,28,29,30,31,32,35,36,38,39,51,52,54,55,56,100,101,
104,105,106,107,108,113,114,116,117,128,129,131,132,134,140,143,145,149,150,
151,154,155,156,172,226,230,232,237,238,242,338,339,340,348,349,361,364,370,
414,417,435,570,579,584,585,587,588,729,947,948,959,962,968,1289],[1,2,3,4,5,
6,9,16,18,20,21,22,23,28,30,31,32,34,38,39,41,51,54,56,100,103,104,106,112,
113,117,118,124,126,134,135,137,145,167,224,232,235,242,338,344,347,359,368,
379,403,562,579,584,588,730,947,957,966,1290],[1,2,3,4,5,6,10,16,18,20,22,23,
28,31,32,33,38,39,40,57,100,104,106,111,113,117,125,134,136,145,146,158,243,
267,338,346,358,367,394,580,582,727,969,1291],[1,2,4,6,7,8,10,15,18,19,33,34,
37,40,41,42,43,44,45,46,57,59,60,61,62,63,64,92,93,95,96,98,99,109,110,111,
112,157,159,160,162,163,166,168,169,171,175,176,179,180,183,184,185,187,188,
190,191,239,240,241,263,264,265,266,267,321,323,325,327,329,334,336,351,352,
353,354,436,437,445,446,581,582,640,641,642,643,644,645,723,950,951,952,1005,
1006,1007,1008,1292],[1,2,3,4,9,14,15,20,21,22,23,33,34,50,51,81,82,83,92,113,
118,125,126,218,223,224,242,286,291,358,359,371,541,583,584,668,953,956,957,
1293],[1,2,3,4,5,9,14,15,16,17,20,21,22,23,24,25,26,29,35,50,51,52,81,82,83,
84,85,86,88,113,114,118,119,120,127,128,218,219,225,242,286,287,292,293,300,
360,372,542,583,584,585,669,953,954,958,1294],[1,2,3,4,5,9,14,15,20,21,22,23,
24,25,27,28,30,36,50,51,52,81,82,83,87,89,113,114,118,129,130,131,132,140,218,
226,227,242,286,294,295,361,362,373,374,543,583,584,585,670,953,959,960,
1295],[1,2,3,4,9,14,15,20,21,22,23,25,29,30,35,50,51,55,81,82,83,85,113,116,
118,119,128,131,132,143,218,230,231,242,286,293,295,364,365,376,377,545,583,
584,587,672,953,962,963,1296],[1,2,3,4,5,6,9,14,15,20,21,22,23,28,30,31,32,39,
40,41,50,51,56,81,82,83,89,91,95,113,117,118,134,135,136,137,146,218,234,235,
242,286,297,298,367,368,379,380,547,583,584,588,674,953,965,966,1297],[1,2,3,
4,5,9,14,16,17,20,21,22,23,24,25,28,33,36,50,51,52,81,84,85,100,101,113,114,
119,120,125,129,132,140,219,223,226,242,287,305,306,358,361,365,381,548,583,
584,585,675,954,956,959,1298],[1,2,3,4,5,9,14,16,17,20,21,22,23,24,25,27,30,
34,50,51,52,81,84,85,102,103,113,114,118,119,120,126,130,131,219,224,227,242,
287,307,308,359,362,377,382,549,583,584,585,676,954,957,960,1299],[1,2,3,4,5,
6,9,14,16,17,18,20,21,22,23,24,25,28,29,30,31,32,35,36,39,40,50,51,52,55,56,
81,84,85,90,91,101,106,108,113,114,116,117,119,120,123,124,128,131,134,136,
143,146,150,151,155,156,219,222,230,234,238,242,287,290,313,314,320,364,367,
370,385,386,390,552,583,584,585,587,588,679,954,955,962,965,968,1300],[1,2,3,
4,5,9,14,16,17,20,21,22,23,24,25,30,41,50,51,52,81,84,85,103,107,113,114,119,
120,132,135,137,219,231,235,242,287,315,316,365,368,387,388,553,583,584,585,
680,954,963,966,1301],[1,3,4,9,20,22,23,26,27,29,30,33,35,51,113,115,116,125,
127,128,130,131,141,142,143,223,225,227,242,358,360,362,363,364,391,392,554,
584,743,956,958,960,1302],[1,3,4,9,20,22,23,26,27,29,30,33,35,51,53,55,113,
115,116,125,127,128,130,131,141,142,143,223,228,230,242,358,360,362,363,364,
391,392,555,584,586,587,743,956,961,962,1303],[1,3,4,9,20,22,23,29,30,33,37,
41,51,55,113,116,125,133,135,137,144,157,223,233,235,242,358,366,368,393,395,
558,584,587,744,956,964,966,1304],[1,3,4,5,9,20,21,22,23,24,25,26,28,29,34,35,
36,51,52,113,114,118,121,122,126,127,128,129,132,140,165,224,225,226,242,359,
360,361,375,376,400,401,559,584,585,747,957,958,959,1305],[1,3,4,9,20,21,22,
23,25,26,27,29,30,34,51,53,55,113,115,116,118,119,126,127,130,132,141,142,224,
228,231,242,359,363,365,372,374,382,400,560,584,586,587,748,957,961,963,
1306],[1,3,4,5,6,9,20,21,22,23,28,29,30,31,32,34,37,39,40,51,55,56,113,116,
117,118,122,123,126,133,134,135,136,144,146,166,224,233,234,242,359,366,367,
378,380,402,403,563,584,587,588,749,957,964,965,1307],[1,3,4,9,20,22,23,26,27,
29,30,35,37,51,53,55,113,115,116,127,128,130,133,135,141,142,144,225,228,233,
242,360,363,366,405,406,408,411,564,584,586,587,750,958,961,964,1308],[1,3,4,
9,20,22,23,26,29,30,35,41,51,55,113,116,127,128,131,135,137,141,143,144,173,
225,230,235,242,360,364,368,408,409,412,413,566,584,587,751,958,962,966,
1309],[1,3,4,5,6,9,20,21,22,23,25,26,28,29,31,32,35,39,40,51,56,113,117,119,
121,123,127,128,132,134,136,146,152,154,155,225,231,234,242,360,365,367,383,
385,410,414,567,584,588,752,958,963,965,1310],[1,3,4,5,6,9,20,22,23,24,25,26,
27,28,29,30,31,32,36,39,40,51,52,53,55,56,113,114,115,116,117,127,129,130,132,
134,136,140,141,142,146,147,148,150,151,152,153,155,156,226,228,234,236,238,
242,361,363,367,369,370,407,410,415,421,433,434,568,584,585,586,587,588,753,
959,961,965,967,968,1311],[1,3,4,5,9,20,21,22,23,24,25,28,29,30,36,37,51,52,
55,113,114,116,119,122,129,132,133,135,140,144,154,226,231,233,242,361,365,
366,384,388,418,423,571,584,585,587,754,959,963,964,1312],[1,3,4,9,20,22,23,
26,27,29,30,41,51,53,55,113,115,116,127,130,131,135,137,141,142,227,228,235,
242,362,363,368,406,409,419,420,572,584,586,587,755,960,961,966,1313],[1,3,4,
9,20,22,23,27,29,30,35,37,51,55,113,116,128,130,131,133,135,142,143,144,227,
230,233,242,362,364,366,411,413,420,422,574,584,587,756,960,962,964,1314],[1,
2,3,4,10,14,15,20,21,22,23,33,34,59,81,82,83,92,113,118,125,126,243,267,286,
291,358,359,371,589,640,668,969,1315],[1,3,4,10,20,22,23,29,30,33,37,41,60,
113,116,125,133,135,137,144,157,243,267,358,366,368,393,395,590,641,744,969,
1316],[1,3,4,7,10,20,22,23,33,42,45,62,113,125,138,159,161,163,243,267,358,
396,398,645,745,969,1317],[1,3,4,8,10,20,22,23,33,43,44,61,113,125,139,160,
162,164,243,267,358,397,399,644,746,969,1318],[1,3,4,8,10,20,22,23,33,43,44,
64,113,125,139,160,162,164,243,267,358,397,399,643,746,969,1319],[1,3,4,7,10,
20,22,23,33,42,45,63,113,125,138,159,161,163,243,267,358,396,398,642,745,969,
1320],[1,3,4,11,20,22,23,26,27,29,30,33,35,58,67,68,113,115,116,125,127,128,
130,131,141,142,143,244,248,249,260,358,360,362,363,364,391,392,592,601,632,
634,743,970,981,983,1321],[1,3,4,5,11,20,21,22,23,24,25,26,28,29,34,35,36,58,
69,113,114,118,121,122,126,127,128,129,132,140,165,244,250,251,260,359,360,
361,375,376,400,401,593,601,633,747,970,982,984,1322],[1,3,4,11,20,22,23,26,
27,29,30,35,37,58,113,115,116,127,128,130,133,135,141,142,144,244,252,253,260,
360,363,366,405,406,408,411,594,601,750,970,985,986,1323],[1,3,4,11,20,22,23,
26,29,30,35,41,58,68,113,116,127,128,131,135,137,141,143,144,173,244,254,255,
260,360,364,368,408,409,412,413,595,601,634,751,970,988,989,1324],[1,3,4,5,6,
11,20,21,22,23,25,26,28,29,31,32,35,39,40,58,69,71,113,117,119,121,123,127,
128,132,134,136,146,152,154,155,244,258,259,260,360,365,367,383,385,410,414,
597,601,633,635,752,970,990,991,1325],[1,3,4,5,12,20,21,22,23,24,25,26,28,29,
34,35,36,72,113,114,118,121,122,126,127,128,129,132,140,165,245,261,268,359,
360,361,375,376,400,401,598,636,646,747,971,1326],[1,3,4,12,20,22,23,26,29,30,
35,41,73,113,116,127,128,131,135,137,141,143,144,173,245,261,268,360,364,368,
408,409,412,413,599,637,648,751,971,1327],[1,3,4,5,6,11,20,22,23,24,25,26,27,
28,29,30,31,32,36,39,40,58,65,67,68,69,70,71,113,114,115,116,117,127,129,130,
132,134,136,140,141,142,146,147,148,150,151,152,153,155,156,244,246,247,248,
249,250,251,252,253,254,255,256,257,258,259,270,271,272,274,275,276,361,363,
367,369,370,407,410,415,421,433,434,591,592,593,594,595,596,597,602,603,604,
605,606,607,610,611,612,613,614,615,616,617,618,619,620,621,622,623,624,625,
626,627,628,629,630,631,753,972,973,974,975,976,977,978,993,994,995,996,1001,
1002,1003,1004,1328],[1,3,4,11,20,21,22,23,25,26,27,29,30,34,58,67,68,113,115,
116,118,119,126,127,130,132,141,142,247,248,251,260,359,363,365,372,374,382,
400,601,610,632,634,748,980,981,984,1329],[1,3,4,5,11,21,22,23,24,25,26,28,29,
30,33,36,58,68,69,118,119,120,121,122,125,127,129,131,140,141,143,247,249,250,
260,371,372,373,375,377,381,391,601,611,633,634,757,980,982,983,1330],[1,3,4,
5,6,11,21,22,24,25,26,28,29,31,32,36,37,39,58,70,118,119,121,122,123,127,129,
133,134,147,150,152,154,247,252,257,260,372,375,378,383,384,405,407,601,608,
612,761,980,985,987,1331],[1,3,4,6,11,21,22,23,25,26,29,30,32,35,40,58,68,71,
118,119,123,127,128,132,135,136,141,144,152,155,247,254,259,260,372,376,380,
385,388,408,410,601,614,634,635,762,980,988,991,1332],[1,3,4,5,6,11,21,22,25,
26,28,29,30,31,32,39,41,58,69,71,118,119,121,123,124,127,131,134,137,152,154,
156,247,255,258,260,372,377,379,383,386,387,409,601,615,633,635,763,980,989,
990,1333],[1,3,4,11,20,22,23,26,27,29,30,35,37,58,67,68,113,115,116,127,128,
130,133,135,141,142,144,248,252,254,260,360,363,366,405,406,408,411,601,616,
632,634,750,981,985,988,1334],[1,3,4,11,20,22,23,26,27,29,30,41,58,67,68,113,
115,116,127,130,131,135,137,141,142,248,253,255,260,362,363,368,406,409,419,
420,601,617,632,634,755,981,986,989,1335],[1,3,4,5,6,11,20,22,23,24,25,26,27,
28,29,30,31,32,36,39,40,58,67,68,70,71,113,114,115,116,117,127,129,130,132,
134,136,140,141,142,146,147,148,150,151,152,153,155,156,248,257,259,260,274,
276,361,363,367,369,370,407,410,415,421,433,434,601,608,619,632,634,635,753,
981,987,991,997,999,1336],[1,3,4,5,6,11,21,22,24,25,26,28,29,31,32,36,37,39,
58,69,71,118,119,121,122,123,127,129,133,134,147,150,152,154,250,252,258,260,
372,375,378,383,384,405,407,601,624,633,635,761,982,985,990,1337],[1,3,4,5,6,
11,21,22,24,25,26,27,28,29,30,32,36,40,58,69,71,118,121,122,127,129,130,132,
135,136,148,151,152,155,250,253,259,260,374,375,380,406,410,415,418,601,625,
633,635,766,982,986,991,1338],[1,3,4,5,6,11,21,22,24,26,28,29,30,31,32,36,39,
41,58,69,70,118,121,122,127,129,131,134,137,147,149,150,151,174,250,255,257,
260,373,375,379,407,409,416,417,601,608,627,633,764,982,987,989,1339],[1,3,4,
11,22,23,26,29,30,33,37,41,58,68,125,127,131,133,137,141,143,157,249,252,255,
260,391,393,405,409,422,601,620,634,774,983,985,989,1340],[1,3,4,11,22,23,26,
27,29,30,33,35,58,68,125,127,128,130,131,135,141,142,143,144,249,253,254,260,
391,392,395,406,408,413,420,601,621,634,775,983,986,988,1341],[1,3,4,5,6,11,
21,22,23,24,25,26,28,29,30,31,32,33,36,38,39,40,58,68,69,70,71,119,120,121,
123,124,125,127,129,131,134,140,141,143,145,146,147,149,150,151,152,154,156,
158,249,257,258,260,275,276,381,383,386,389,390,391,394,407,417,433,435,601,
608,623,633,634,635,768,983,987,990,998,999,1342],[1,3,4,6,11,22,25,26,29,32,
34,37,40,58,71,126,127,132,133,136,152,155,166,251,252,259,260,400,402,405,
410,423,601,628,635,789,984,985,991,1343],[1,3,4,5,6,11,21,22,25,26,27,28,29,
30,31,32,34,39,58,69,71,119,121,123,126,127,130,132,134,135,152,153,154,156,
251,253,258,260,382,383,388,400,403,406,421,601,629,633,635,770,984,986,990,
1344],[1,3,4,5,6,11,22,23,24,25,26,28,29,30,31,32,34,35,36,39,58,68,70,126,
127,128,129,132,134,135,141,144,147,150,154,155,165,251,254,257,260,400,401,
403,407,408,414,418,601,608,630,634,790,984,987,988,1345],[1,3,4,7,13,22,26,
29,37,42,45,79,127,133,138,175,178,179,262,269,405,424,426,649,793,992,1346],[
1,3,4,8,13,22,26,29,37,43,44,76,127,133,139,176,177,180,262,269,405,425,427,
650,794,992,1347],[1,3,4,13,22,23,26,29,30,33,37,41,75,125,127,131,133,137,
141,143,157,262,269,391,393,405,409,422,638,651,774,992,1348],[1,3,4,6,13,22,
25,26,29,32,34,37,40,80,126,127,132,133,136,152,155,166,262,269,400,402,405,
410,423,639,652,789,992,1349],[1,3,4,7,13,22,26,29,37,42,45,78,127,133,138,
175,178,179,262,269,405,424,426,653,793,992,1350],[1,3,4,8,13,22,26,29,37,43,
44,77,127,133,139,176,177,180,262,269,405,425,427,654,794,992,1351],[1,3,4,22,
47,48,49,209,210,211,212,215,526,656,1014,1015,1352],[1,4,34,47,48,49,211,212,
215,534,535,538,656,1015,1353],[1,4,34,47,48,49,211,212,215,534,656,1015,
1354],[1,4,8,43,47,48,49,211,212,213,214,215,537,656,1015,1016,1355],[1,4,7,
42,47,48,49,211,212,215,216,217,539,656,1015,1017,1356],[1,4,44,47,48,49,211,
212,215,540,656,1015,1357],[1,4,45,47,48,49,211,212,215,536,656,1015,1358],[1,
2,3,9,10,11,12,14,50,51,53,54,57,58,59,195,196,197,198,200,218,220,229,461,
462,463,464,465,466,470,476,484,657,807,808,809,1018,1019,1021,1359],[1,2,3,9,
10,11,12,14,50,51,53,54,57,67,195,196,197,198,200,220,229,461,462,463,465,466,
474,480,657,809,812,1018,1022,1360],[1,2,4,9,10,11,12,15,50,54,55,57,59,60,68,
73,195,196,197,198,200,221,239,461,462,463,464,466,467,477,481,484,485,491,
657,810,813,815,816,1018,1019,1024,1361],[1,2,3,9,10,11,12,14,50,51,53,54,59,
67,195,196,197,198,200,218,220,461,462,464,465,474,480,484,657,808,812,1019,
1022,1362],[1,2,4,9,10,12,13,15,50,54,55,57,59,60,73,75,195,198,199,201,202,
203,204,221,239,463,464,466,467,484,485,486,488,489,493,496,502,507,658,815,
816,863,867,1020,1026,1027,1363],[1,2,7,8,9,10,12,13,19,50,57,59,61,62,63,64,
76,79,195,198,199,201,202,203,204,240,263,264,463,464,468,469,488,489,494,497,
498,504,505,506,658,817,864,866,1020,1028,1029,1364],[1,2,7,8,9,10,12,13,19,
50,57,59,61,62,63,64,77,78,195,198,199,201,202,203,204,241,263,264,463,464,
468,469,488,489,495,498,499,503,506,508,658,817,865,868,1020,1030,1031,1365],[
1,3,4,9,10,11,12,22,51,53,55,58,60,67,68,73,195,196,197,198,200,228,248,465,
467,470,474,476,477,480,481,485,491,657,818,833,847,1021,1022,1024,1366],[1,3,
5,9,10,11,12,24,51,52,53,56,58,65,66,69,72,195,196,197,198,200,236,246,250,
465,470,471,475,476,478,479,482,490,492,657,837,842,849,1021,1023,1025,1367],[
1,3,5,9,10,11,12,28,51,52,53,65,67,69,72,195,196,197,198,200,226,270,465,471,
474,475,480,482,490,657,841,852,1022,1023,1368],[1,3,9,10,11,12,27,51,53,67,
195,196,197,198,200,227,465,474,480,657,851,1022,1369],[1,3,5,9,10,11,12,28,
51,53,56,65,66,67,69,195,196,197,198,200,234,270,465,474,478,479,480,482,492,
657,848,852,1022,1025,1370],[1,3,9,10,11,12,30,51,53,67,195,196,197,198,200,
235,465,474,480,657,853,1022,1371],[1,4,5,9,10,11,12,36,52,55,56,60,65,66,68,
69,72,73,195,196,197,198,200,238,271,273,467,471,475,477,478,479,481,482,485,
490,491,492,657,843,850,855,869,1023,1024,1025,1372],[1,2,7,8,9,10,12,13,19,
54,57,59,61,62,63,64,77,79,195,198,199,201,202,203,204,240,241,264,466,468,
469,484,488,489,494,498,499,503,505,506,658,819,865,866,1026,1028,1030,1373],[
1,2,7,8,9,10,12,13,19,54,57,59,61,62,63,64,76,78,195,198,199,201,202,203,204,
240,241,263,466,468,469,484,488,489,495,497,498,504,506,508,658,819,864,868,
1026,1029,1031,1374],[1,4,7,9,10,12,13,42,55,60,62,63,73,75,78,79,195,198,199,
201,202,203,204,266,281,467,468,485,486,493,494,495,496,498,502,505,507,508,
658,820,870,872,880,1027,1028,1031,1375],[1,4,8,9,10,12,13,43,55,60,61,64,73,
75,76,77,195,198,199,201,202,203,204,265,280,467,469,485,486,493,496,497,499,
502,503,504,506,507,658,821,871,879,882,1027,1029,1030,1376],[1,3,9,10,11,12,
20,51,58,195,196,197,198,200,223,242,243,244,245,470,657,824,825,826,859,860,
1377],[1,3,9,11,12,13,26,51,58,196,197,199,205,206,225,252,260,261,262,470,
659,828,829,830,861,862,1378],[1,3,5,9,11,12,13,28,51,52,56,58,65,66,67,69,72,
196,197,199,205,206,226,234,270,470,471,472,473,474,475,478,479,487,511,659,
831,841,848,1032,1033,1034,1379],[1,3,5,9,11,12,13,24,52,53,56,58,65,66,67,
196,197,199,205,206,236,246,471,472,473,476,478,480,511,659,842,844,1032,1036,
1380],[1,4,5,9,11,12,13,36,52,55,56,65,66,68,69,72,73,75,196,197,199,205,206,
238,271,273,471,472,473,475,477,478,479,481,486,487,515,519,659,843,845,846,
850,1032,1034,1037,1381],[1,3,4,9,11,12,13,22,51,53,55,58,67,68,73,75,196,197,
199,205,206,228,248,470,474,476,477,480,481,486,511,515,519,659,833,847,889,
1033,1036,1037,1382],[1,3,6,9,11,12,13,32,51,58,67,70,71,74,80,196,197,199,
205,206,257,259,274,470,474,483,511,512,513,514,518,520,659,840,888,890,1033,
1038,1039,1383],[1,3,5,9,11,12,13,24,52,53,56,58,67,69,72,196,197,199,205,206,
236,250,472,475,476,479,480,487,511,659,844,849,1034,1036,1384],[1,4,5,9,10,
11,12,13,36,52,55,56,60,65,66,68,69,72,73,75,196,198,199,200,201,203,206,207,
208,238,271,273,473,475,477,478,485,486,487,490,491,492,493,502,519,521,522,
523,524,660,846,850,869,900,901,1035,1040,1041,1385],[1,3,9,11,12,13,27,53,58,
67,196,197,199,205,206,253,476,480,511,659,851,1036,1386],[1,3,9,11,12,13,30,
53,58,67,196,197,199,205,206,255,476,480,511,659,853,1036,1387],[1,3,6,9,11,
12,13,32,53,58,67,70,71,74,196,197,199,205,206,257,274,476,480,483,511,512,
513,514,659,854,888,1036,1038,1388],[1,3,6,9,11,12,13,32,53,58,67,70,71,80,
196,197,199,205,206,259,274,476,480,483,511,513,518,520,659,854,890,1036,1039,
1389],[1,4,6,9,11,12,13,40,55,68,70,71,73,74,75,80,196,197,199,205,206,276,
278,477,481,483,486,512,513,514,515,518,519,520,659,857,891,893,894,1037,1038,
1039,1390],[1,4,8,10,11,12,13,43,60,61,64,68,73,75,76,77,200,201,202,203,204,
205,206,265,280,491,493,496,497,499,502,503,504,507,509,515,516,519,661,871,
879,883,895,1042,1043,1044,1391],[1,4,7,10,11,12,13,42,60,62,63,68,73,75,78,
79,200,201,202,203,204,205,206,266,281,491,493,494,495,496,500,502,505,507,
508,515,517,519,661,870,873,880,897,1042,1045,1046,1392],[1,4,6,10,11,12,13,
40,60,68,70,71,73,74,75,80,200,201,202,203,204,205,206,276,278,491,493,496,
501,502,507,510,512,514,515,518,519,520,661,875,886,891,894,1042,1047,1048,
1393],[1,6,7,8,10,11,12,13,46,61,63,71,74,76,77,78,79,80,200,201,202,203,204,
205,206,277,282,283,495,497,500,501,503,505,509,510,514,516,517,518,661,877,
881,899,1043,1045,1047,1394],[1,6,7,8,10,11,12,13,46,61,62,70,74,76,77,78,79,
80,200,201,202,203,204,205,206,277,279,282,494,497,500,501,503,508,509,510,
512,516,517,520,661,877,887,892,1043,1046,1048,1395],[1,6,7,8,10,11,12,13,46,
63,64,70,74,76,77,78,79,80,200,201,202,203,204,205,206,277,279,283,495,499,
500,501,504,505,509,510,512,516,517,520,661,878,881,892,1044,1045,1048,1396],[
1,6,7,8,10,11,12,13,46,62,64,71,74,76,77,78,79,80,200,201,202,203,204,205,206,
279,282,283,494,499,500,501,504,508,509,510,514,516,517,518,661,878,887,899,
1044,1046,1047,1397],[1,4,6,13,34,37,40,48,74,75,80,166,212,269,278,535,652,
1049,1398],[1,4,8,13,37,43,48,75,76,77,176,212,213,214,269,280,537,650,1049,
1399],[1,4,7,13,37,42,45,48,75,78,79,179,212,269,281,536,653,1049,1400],[1,4,
6,13,34,37,40,49,74,75,80,166,215,269,278,538,652,1050,1401],[1,4,7,13,37,42,
49,75,78,79,175,215,216,217,269,281,539,649,1050,1402],[1,4,8,13,37,43,44,49,
75,76,77,180,215,269,280,540,654,1050,1403],[1,3,4,11,22,26,29,47,58,67,68,
127,209,210,211,248,260,526,601,1051,1404],[1,3,5,11,21,26,28,47,65,67,69,121,
210,260,270,532,633,1051,1405],[1,3,6,11,25,26,32,47,67,70,71,152,210,260,274,
533,635,1051,1406],[1,2,3,9,14,20,21,47,50,53,54,81,210,220,242,532,583,1052,
1407],[1,3,4,9,20,22,23,47,51,53,55,113,209,210,211,228,242,526,584,1052,
1408],[1,3,5,9,20,24,25,47,52,53,56,114,210,236,242,533,585,1052,1409],[1,2,4,
10,15,33,34,49,57,59,60,92,215,239,267,538,640,1053,1410],[1,4,7,10,33,42,49,
60,62,63,159,215,216,217,266,267,539,642,1053,1411],[1,4,8,10,33,43,44,49,60,
61,64,160,215,265,267,540,643,1053,1412],[1,2,4,10,15,33,34,48,57,59,60,92,
212,239,267,535,640,1054,1413],[1,4,8,10,33,43,48,60,61,64,162,212,213,214,
265,267,537,644,1054,1414],[1,4,7,10,33,42,45,48,60,62,63,163,212,266,267,536,
645,1054,1415],[1,4,5,12,34,35,36,49,66,72,73,165,215,268,273,538,646,1055,
1416],[1,4,5,12,34,35,36,48,66,72,73,165,212,268,273,535,646,1056,1417],[1,3,
4,9,21,22,47,51,53,55,118,209,210,211,224,228,231,284,526,532,560,662,663,664,
910,1057,1058,1059,1418],[1,3,4,9,20,22,23,47,51,113,209,210,211,242,284,525,
526,527,584,662,906,1060,1419],[1,3,9,20,26,27,47,53,115,209,242,284,525,528,
529,586,663,907,1060,1420],[1,3,4,9,20,29,30,47,55,116,209,211,242,284,525,
530,531,587,664,908,1060,1421],[1,3,4,11,22,26,29,47,58,127,209,210,211,260,
285,526,528,530,601,665,911,1061,1422],[1,3,11,20,26,27,47,67,115,209,260,285,
525,528,529,632,666,907,1061,1423],[1,3,4,11,23,26,30,47,68,141,209,211,260,
285,527,528,531,634,667,915,1061,1424],[1,3,4,11,22,25,47,58,67,68,132,209,
210,211,247,248,251,285,526,533,610,665,666,667,914,1062,1063,1064,1425],[1,2,
3,4,5,6,14,15,16,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,
38,39,40,41,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,100,101,102,103,104,
105,106,107,108,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,
126,127,128,129,130,131,132,133,134,135,136,137,140,141,142,143,144,145,146,
147,148,149,150,151,152,153,154,155,156,157,158,165,166,167,172,173,174,286,
287,288,289,290,291,292,293,294,295,296,297,298,300,301,302,303,304,305,306,
307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,338,339,340,
341,342,343,344,346,347,348,349,350,358,359,360,361,362,363,364,365,366,367,
368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,
387,388,389,390,391,392,393,394,395,400,401,402,403,405,406,407,408,409,410,
411,412,413,414,415,416,417,418,419,420,421,422,423,433,434,435,444,668,669,
670,671,672,673,674,675,676,677,678,679,680,681,682,683,684,687,688,689,690,
691,692,693,694,695,696,701,702,703,704,705,706,707,708,709,710,711,712,713,
714,715,716,717,718,719,720,727,728,729,730,731,732,733,734,735,736,743,744,
747,748,749,750,751,752,753,754,755,756,757,758,761,762,763,764,765,766,767,
768,769,770,771,774,775,776,789,790,1065,1066,1068,1069,1070,1071,1072,1073,
1074,1075,1076,1077,1078,1088,1089,1090,1100,1105,1106,1426],[1,2,3,4,5,6,7,8,
14,15,16,17,18,19,20,21,22,23,28,29,30,31,32,33,34,37,38,39,40,41,42,43,44,45,
46,81,82,83,88,89,90,91,92,93,94,95,96,97,98,99,100,103,104,106,109,110,111,
112,113,116,117,118,122,123,124,125,126,133,134,135,136,137,138,139,144,145,
146,157,158,159,160,161,162,163,164,166,167,168,169,170,171,175,176,177,178,
179,180,181,182,183,184,185,186,187,188,189,190,191,192,286,289,290,291,296,
297,298,299,303,304,321,322,323,324,325,326,327,328,329,330,331,332,334,335,
336,337,338,344,345,346,347,351,352,353,354,355,356,358,359,366,367,368,371,
378,379,380,393,394,395,396,397,398,399,402,403,404,424,425,428,429,430,436,
437,438,439,440,441,442,443,445,446,447,448,449,450,451,668,673,674,683,684,
685,686,697,699,723,724,725,726,727,730,736,737,738,739,744,745,746,749,758,
759,760,777,778,779,780,785,786,787,788,791,1066,1067,1079,1080,1083,1096,
1099,1101,1102,1107,1108,1427],[1,2,3,4,5,6,14,15,16,17,18,20,21,22,23,28,29,
30,31,32,33,34,37,38,39,40,41,44,45,81,82,83,88,89,90,91,92,93,94,95,97,100,
103,104,106,110,111,112,113,116,117,118,122,123,124,125,126,133,134,135,136,
137,144,145,146,157,158,166,167,177,178,193,194,286,289,290,291,296,297,298,
303,304,321,322,328,333,338,344,346,347,357,358,359,366,367,368,371,378,379,
380,393,394,395,402,403,426,427,431,432,452,668,673,674,683,684,698,700,727,
730,736,740,744,749,758,781,782,783,784,792,1066,1081,1082,1103,1104,1109,
1110,1428],[1,2,3,4,5,7,14,15,16,17,20,21,22,23,24,25,28,29,30,33,36,37,38,41,
42,44,45,81,84,85,88,89,94,98,100,101,103,105,107,113,114,116,119,120,122,125,
129,132,133,135,137,138,140,144,149,154,157,159,161,163,174,175,177,178,179,
181,187,190,192,194,287,289,305,306,311,312,315,316,319,331,333,339,341,358,
361,365,366,368,381,384,387,388,393,395,396,398,416,418,423,424,427,429,431,
436,439,457,458,675,678,680,709,712,713,721,744,745,754,769,772,777,779,781,
784,787,797,803,1073,1091,1092,1101,1103,1111,1112,1429],[1,2,3,4,5,8,14,15,
16,17,20,21,22,23,24,25,28,29,30,33,36,37,38,41,43,44,45,81,84,85,88,89,94,99,
100,101,103,105,107,113,114,116,119,120,122,125,129,132,133,135,137,139,140,
144,149,154,157,160,162,164,174,176,177,178,180,182,188,189,191,193,287,289,
305,306,311,312,315,316,319,332,333,339,341,358,361,365,366,368,381,384,387,
388,393,395,397,399,416,418,423,425,426,430,432,437,438,459,460,675,678,680,
709,712,713,722,744,746,754,769,773,778,780,782,783,788,798,804,1073,1093,
1094,1102,1104,1113,1114,1430],[1,2,3,4,5,6,7,8,14,15,16,17,18,19,22,23,24,25,
26,29,30,31,32,33,34,37,38,39,40,41,42,43,44,45,46,82,84,85,86,88,90,91,92,93,
94,95,96,97,98,99,104,105,106,107,109,110,111,112,125,126,127,131,132,133,136,
137,138,139,140,141,143,146,147,151,152,155,156,157,158,159,160,161,162,163,
164,166,167,168,169,170,171,175,176,177,178,179,180,181,182,183,184,185,186,
187,188,189,190,191,192,291,292,295,296,298,299,306,308,309,311,314,316,317,
320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,345,
346,347,348,349,351,352,353,354,355,356,391,393,396,397,400,402,404,405,409,
410,422,423,424,425,426,427,428,429,430,433,436,437,438,439,440,441,443,445,
446,447,448,449,450,451,681,683,685,687,690,696,697,698,699,710,712,717,719,
721,722,723,724,725,726,737,738,774,777,778,783,784,789,791,792,793,794,801,
802,803,804,1076,1079,1082,1084,1087,1091,1093,1095,1115,1116,1123,1431],[1,2,
3,4,5,6,14,15,16,17,18,22,23,24,25,26,29,30,31,32,33,34,37,38,39,40,41,44,45,
82,84,85,86,88,90,91,92,93,94,95,104,105,106,107,110,111,112,125,126,127,131,
132,133,136,137,140,141,143,146,147,151,152,155,156,157,158,161,164,166,167,
186,193,194,291,292,295,296,298,306,308,309,311,314,316,317,320,321,322,346,
347,348,349,355,357,391,393,398,399,400,402,405,409,410,422,423,431,432,433,
442,452,681,683,686,687,690,696,700,710,712,717,719,739,740,774,779,780,781,
782,789,1076,1080,1081,1092,1094,1117,1118,1432],[1,2,3,4,5,6,7,8,14,15,16,17,
18,19,21,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,
46,82,83,85,87,88,89,90,92,93,94,95,96,97,98,99,101,102,104,105,106,107,108,
109,110,111,112,119,120,122,123,124,125,126,128,129,130,133,136,137,138,139,
140,142,143,144,145,146,148,150,151,153,154,155,157,158,159,160,161,162,163,
164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,
183,184,185,186,187,188,189,190,191,192,193,194,291,293,294,296,298,299,302,
304,318,319,321,322,323,324,325,326,327,328,329,330,331,332,334,335,336,337,
340,342,343,345,346,347,349,350,351,352,353,354,355,356,357,381,382,384,385,
387,390,392,393,396,397,401,402,404,411,412,415,416,419,424,425,428,429,430,
431,432,434,436,437,438,439,440,441,443,444,445,446,447,448,449,450,451,452,
453,454,455,456,457,458,459,460,682,683,685,691,692,694,697,699,700,723,724,
725,726,731,732,734,737,738,740,741,742,769,771,772,773,776,777,778,781,782,
791,795,796,797,798,799,800,805,806,1078,1079,1081,1085,1086,1097,1098,1111,
1113,1119,1120,1433],[1,2,3,4,5,6,14,15,16,17,18,21,22,23,24,25,27,28,29,30,
31,32,33,34,35,36,37,38,39,40,41,44,45,82,83,85,87,88,89,90,92,93,94,95,97,
101,102,104,105,106,107,108,110,111,112,119,120,122,123,124,125,126,128,129,
130,133,136,137,140,142,143,144,145,146,148,150,151,153,154,155,157,158,161,
164,165,166,167,172,173,174,177,178,186,291,293,294,296,298,302,304,318,319,
321,322,328,333,340,342,343,346,347,349,350,355,381,382,384,385,387,390,392,
393,398,399,401,402,411,412,415,416,419,426,427,434,442,444,682,683,686,691,
692,694,698,731,732,734,739,769,771,776,779,780,783,784,792,1078,1080,1082,
1112,1114,1121,1122,1434],[1,2,3,4,5,6,7,14,15,16,17,18,21,22,23,24,25,27,28,
29,30,31,32,33,35,36,37,38,39,40,41,42,44,45,83,84,85,87,88,90,91,94,98,101,
102,103,105,106,108,118,120,122,123,125,128,130,132,133,134,137,138,140,142,
143,144,145,146,148,149,150,153,154,155,156,157,158,159,161,163,164,173,175,
177,178,179,181,185,187,190,192,193,300,302,303,306,307,310,311,313,316,318,
320,331,333,341,343,371,374,376,378,379,392,393,394,396,399,411,412,414,419,
421,423,424,427,429,432,434,435,436,439,440,442,453,454,702,704,705,711,712,
715,721,758,759,767,776,777,780,782,784,785,795,799,803,1090,1091,1094,1107,
1110,1119,1122,1435],[1,2,3,4,5,6,8,14,15,16,17,18,21,22,23,24,25,27,28,29,30,
31,32,33,35,36,37,38,39,40,41,43,44,45,83,84,85,87,88,90,91,94,99,101,102,103,
105,106,108,118,120,122,123,125,128,130,132,133,134,137,139,140,142,143,144,
145,146,148,149,150,153,154,155,156,157,158,160,161,162,164,173,176,177,178,
180,182,184,188,189,191,194,300,302,303,306,307,310,311,313,316,318,320,332,
333,341,343,371,374,376,378,379,392,393,394,397,398,411,412,414,419,421,423,
425,426,430,431,434,435,437,438,442,443,455,456,702,704,705,711,712,715,722,
758,760,767,776,778,779,781,783,786,796,800,804,1090,1092,1093,1108,1109,1120,
1121,1436],[1,3,4,7,20,22,23,26,27,29,30,33,35,37,41,42,45,113,115,116,125,
127,128,130,131,133,135,137,138,141,142,143,144,157,159,161,163,173,175,178,
179,187,190,192,193,358,360,362,363,364,366,368,391,392,393,395,396,398,405,
406,408,409,411,412,413,419,420,422,424,426,429,432,436,439,453,454,743,744,
745,750,751,755,756,774,775,776,777,779,782,783,787,793,795,799,801,1100,1101,
1104,1115,1117,1119,1121,1437],[1,3,4,8,20,22,23,26,27,29,30,33,35,37,41,43,
44,113,115,116,125,127,128,130,131,133,135,137,139,141,142,143,144,157,160,
162,164,173,176,177,180,188,189,191,194,358,360,362,363,364,366,368,391,392,
393,395,397,399,405,406,408,409,411,412,413,419,420,422,425,427,430,431,437,
438,455,456,743,744,746,750,751,755,756,774,775,776,778,780,781,784,788,794,
796,800,802,1100,1102,1103,1116,1118,1120,1122,1438],[1,3,4,5,6,7,21,22,23,24,
25,26,28,29,30,31,32,33,36,37,38,39,40,41,42,44,45,118,119,120,121,122,123,
124,125,127,129,131,133,134,137,138,140,141,143,145,146,147,149,150,151,152,
154,156,157,158,159,161,163,164,174,175,178,179,181,185,187,190,192,194,371,
372,373,375,377,378,379,381,383,384,386,387,389,390,391,393,394,396,399,405,
407,409,416,417,422,424,426,429,431,433,435,436,439,440,442,457,458,757,758,
759,761,763,764,765,768,769,772,774,777,780,781,783,785,793,797,801,1106,1107,
1109,1111,1114,1115,1118,1439],[1,3,4,5,6,8,21,22,23,24,25,26,28,29,30,31,32,
33,36,37,38,39,40,41,43,44,45,118,119,120,121,122,123,124,125,127,129,131,133,
134,137,139,140,141,143,145,146,147,149,150,151,152,154,156,157,158,160,161,
162,164,174,176,177,180,182,184,188,189,191,193,371,372,373,375,377,378,379,
381,383,384,386,387,389,390,391,393,394,397,398,405,407,409,416,417,422,425,
427,430,432,433,435,437,438,442,443,459,460,757,758,760,761,763,764,765,768,
769,773,774,778,779,782,784,786,794,798,802,1106,1108,1110,1112,1113,1116,
1117,1440],[1,2,3,5,9,11,14,16,20,21,26,27,28,50,51,52,54,56,58,81,86,87,100,
102,115,121,197,218,219,223,224,225,226,227,229,231,232,234,244,252,253,288,
462,470,472,541,542,543,548,549,554,556,557,559,565,567,573,575,594,807,811,
825,827,829,831,832,920,932,1124,1126,1128,1137,1139,1157,1164,1441],[1,2,3,4,
9,11,14,15,20,21,22,23,50,51,53,54,55,58,67,68,81,82,83,113,118,197,218,220,
221,223,224,228,229,230,231,244,248,249,286,462,470,480,481,541,544,545,555,
556,560,561,592,807,812,813,825,827,833,834,921,1124,1129,1130,1158,1165,
1442],[1,2,3,4,5,9,11,14,15,16,17,20,21,28,29,30,50,51,52,54,55,56,58,68,81,
88,89,100,103,116,122,197,218,219,221,222,223,224,226,229,231,232,233,234,235,
237,244,254,255,289,462,470,472,481,541,546,547,548,551,553,556,557,558,562,
563,569,571,595,807,811,813,814,825,827,831,835,836,922,928,1124,1131,1132,
1137,1142,1159,1166,1443],[1,2,3,5,9,11,12,14,16,20,21,26,27,28,50,51,52,65,
67,69,72,81,86,87,100,102,115,121,196,218,219,223,224,225,226,227,260,261,270,
288,471,474,475,541,542,543,548,549,554,559,576,632,633,636,828,841,920,938,
1125,1167,1168,1444],[1,2,3,4,5,9,11,12,14,15,16,17,22,24,26,29,50,51,52,53,
54,55,56,58,65,66,82,84,86,88,127,196,218,219,220,221,222,225,228,229,232,233,
236,237,246,260,261,292,471,476,478,542,544,546,550,551,564,565,576,577,601,
828,842,923,935,1125,1169,1170,1445],[1,2,3,4,5,9,11,12,14,16,17,21,23,26,28,
30,36,50,51,52,55,56,65,68,69,73,83,86,89,101,103,121,141,196,218,219,222,225,
230,231,234,235,238,260,261,271,301,471,477,479,542,545,547,552,553,566,567,
576,633,634,637,828,843,924,939,1125,1171,1172,1446],[1,2,3,4,5,9,11,14,15,16,
17,22,24,26,29,50,51,52,53,54,55,56,58,67,68,82,84,86,88,127,197,218,219,220,
221,222,225,228,229,232,233,236,237,248,252,254,292,462,470,472,480,481,542,
544,546,550,551,564,565,616,807,811,812,813,814,829,833,835,844,923,1126,1129,
1131,1140,1173,1447],[1,2,3,4,5,9,11,14,16,17,21,23,26,28,30,36,50,51,52,54,
55,56,58,68,83,86,89,101,103,121,141,197,218,219,222,224,225,226,229,230,231,
232,234,235,237,238,249,252,255,301,462,470,472,481,542,545,547,552,553,559,
561,562,565,566,567,569,570,620,807,811,814,827,829,831,834,836,845,924,934,
1126,1130,1132,1141,1142,1164,1174,1448],[1,2,3,4,5,9,12,13,14,16,17,21,23,26,
28,30,36,50,51,52,55,56,66,72,73,75,83,86,89,101,103,121,141,199,218,219,222,
225,230,231,234,235,238,261,262,273,301,473,486,487,542,545,547,552,553,566,
567,577,636,637,638,830,846,924,941,1127,1177,1178,1449],[1,2,3,4,5,9,11,14,
15,22,24,27,28,30,36,50,51,52,53,54,55,56,58,67,68,82,87,89,129,130,197,218,
220,221,226,227,228,229,234,235,236,238,248,253,255,294,462,470,472,480,481,
543,544,547,568,569,572,573,617,807,812,813,831,832,833,836,844,845,925,1128,
1129,1132,1179,1180,1450],[1,2,3,4,5,9,11,14,15,16,17,21,23,27,28,29,36,50,51,
52,54,55,56,58,68,83,87,88,101,102,122,142,197,218,219,221,222,224,226,227,
229,230,231,232,233,234,237,238,249,253,254,302,462,470,472,481,543,545,546,
549,551,552,561,563,570,571,573,574,575,621,807,811,813,814,827,831,832,834,
835,845,926,930,1128,1130,1131,1139,1141,1166,1181,1451],[1,2,3,4,5,9,11,14,
15,22,24,27,28,30,36,50,51,53,54,55,58,65,67,68,69,82,87,89,129,130,197,218,
220,221,228,229,246,248,250,270,271,294,462,470,480,481,482,544,602,807,812,
813,833,837,851,852,853,855,1129,1143,1144,1184,1185,1452],[1,2,3,4,9,11,14,
15,22,25,30,50,51,53,54,55,58,67,68,82,131,132,197,218,220,221,228,229,247,
248,251,295,462,470,480,481,544,610,807,812,813,833,838,853,1129,1186,1187,
1453],[1,2,3,4,5,6,9,11,14,15,22,28,30,31,32,39,50,51,53,54,55,58,65,67,68,69,
70,71,82,89,91,134,135,197,218,220,221,228,229,248,256,258,270,272,274,275,
297,462,470,480,481,482,483,544,618,807,812,813,833,839,852,853,854,856,1129,
1144,1145,1188,1189,1454],[1,2,3,4,6,9,11,14,15,22,32,40,41,50,51,53,54,55,58,
67,68,70,71,82,95,136,137,197,218,220,221,228,229,248,257,259,274,276,298,462,
470,480,481,483,544,619,807,812,813,833,840,854,857,858,1129,1146,1190,1191,
1455],[1,2,3,4,7,8,9,10,14,15,19,22,42,43,44,45,50,51,53,54,55,57,59,60,61,62,
63,64,82,96,97,98,99,138,139,195,218,220,221,228,229,239,240,241,263,264,265,
266,299,461,464,465,466,467,468,469,544,581,808,809,810,816,817,818,819,820,
821,822,823,1133,1134,1135,1147,1148,1149,1150,1456],[1,2,3,5,9,10,14,16,20,
21,26,27,28,50,51,52,53,54,59,81,86,87,100,102,115,121,195,218,219,220,223,
224,225,226,227,242,243,288,461,464,465,541,542,543,548,549,554,559,579,583,
586,589,808,824,920,945,1136,1151,1152,1457],[1,2,3,4,5,9,10,14,16,17,20,22,
23,24,28,36,50,51,52,53,54,55,56,57,84,100,101,113,129,195,219,220,222,223,
226,228,229,230,232,234,236,237,238,242,243,305,461,465,466,548,550,552,555,
557,568,570,579,580,584,809,824,927,936,1136,1153,1155,1458],[1,2,3,4,5,9,10,
14,15,16,17,20,21,28,29,30,50,51,52,54,55,60,81,88,89,100,103,116,122,195,219,
221,223,226,229,231,233,235,237,242,243,289,461,467,548,551,553,556,558,569,
571,579,583,587,590,810,824,928,946,1136,1154,1156,1459],[1,2,3,4,5,9,11,14,
16,17,20,22,23,24,28,36,50,51,52,53,54,55,56,58,67,68,84,100,101,113,129,197,
219,220,222,223,226,228,230,232,234,236,237,238,244,248,249,305,462,470,472,
480,481,548,550,552,555,557,568,570,592,811,812,814,825,831,833,834,844,845,
927,1137,1140,1141,1158,1179,1460],[1,2,3,4,5,9,10,12,14,15,16,17,20,21,28,29,
30,50,51,52,54,55,57,59,60,73,81,88,89,100,103,116,122,198,219,221,223,226,
229,231,233,235,237,239,243,245,289,463,484,485,548,551,553,556,558,569,571,
580,589,590,599,815,826,928,949,1138,1162,1163,1461],[1,2,3,4,5,9,11,14,16,17,
21,22,24,27,30,50,51,52,53,54,55,56,58,67,68,84,102,103,118,130,197,219,220,
222,224,227,228,231,232,235,236,237,248,253,255,307,462,470,472,480,481,549,
550,553,560,562,572,575,617,811,812,814,827,832,833,836,844,929,1139,1140,
1142,1165,1180,1462],[1,2,3,4,5,6,9,11,14,16,17,22,24,27,28,30,31,32,39,50,51,
52,53,54,55,56,58,65,67,68,69,70,71,84,87,91,130,134,148,149,197,219,220,222,
228,232,236,237,248,256,258,270,272,274,275,310,462,470,472,480,481,482,483,
550,618,811,812,814,833,839,844,851,852,853,854,856,1140,1143,1145,1184,1188,
1199,1200,1463],[1,2,3,4,5,9,11,14,16,17,22,24,28,30,36,50,51,52,53,54,55,56,
58,65,67,68,69,84,89,129,135,149,197,219,220,222,228,232,236,237,246,248,250,
270,271,312,462,470,472,480,481,482,550,602,811,812,814,833,837,844,852,853,
855,1140,1144,1185,1189,1200,1464],[1,2,3,4,5,6,9,11,14,16,17,22,24,30,32,40,
50,51,52,53,54,55,56,58,67,68,70,71,84,91,131,136,151,197,219,220,222,228,232,
236,237,248,257,259,274,276,314,462,470,472,480,481,483,550,619,811,812,814,
833,840,844,853,854,857,1140,1145,1186,1190,1201,1465],[1,2,3,4,5,9,11,14,16,
17,22,24,25,41,50,51,52,53,54,55,56,58,67,68,84,132,137,197,219,220,222,228,
232,236,237,247,248,251,316,462,470,472,480,481,550,610,811,812,814,833,838,
844,858,1140,1187,1191,1466],[1,2,3,4,9,10,14,15,20,21,22,23,50,51,53,54,55,
59,81,82,83,113,118,195,218,220,221,223,224,228,229,230,231,242,243,286,461,
464,465,541,544,545,555,556,560,561,583,584,589,808,824,921,953,1151,1153,
1154,1467],[1,2,3,4,5,9,10,14,15,16,17,20,21,28,29,30,50,51,54,55,56,57,59,60,
81,88,89,100,103,116,122,195,218,221,222,223,224,232,233,234,235,239,242,243,
289,464,466,467,541,546,547,557,558,562,563,579,580,583,587,589,590,816,824,
922,946,949,1151,1155,1156,1468],[1,3,4,9,10,20,22,23,26,27,29,30,51,53,55,60,
113,115,116,127,130,141,142,195,223,225,227,228,230,233,235,242,243,363,465,
467,554,555,558,564,566,572,574,584,586,587,590,818,824,931,961,1152,1153,
1156,1469],[1,2,3,5,9,10,14,16,20,21,26,27,28,50,51,53,54,56,57,81,86,87,100,
102,115,121,195,220,223,225,227,229,231,232,234,242,243,288,461,465,466,554,
556,557,565,567,573,575,579,580,583,586,809,824,932,945,1152,1154,1155,1470],[
1,3,4,9,11,20,22,23,26,27,29,30,51,53,55,58,67,68,113,115,116,127,130,141,142,
197,223,225,227,228,230,233,235,244,248,249,252,253,254,255,363,470,480,481,
554,555,558,564,566,572,574,592,594,595,616,617,620,621,825,829,832,833,834,
835,836,931,975,1157,1158,1159,1173,1174,1180,1181,1471],[1,3,5,6,9,11,20,24,
25,26,27,31,32,51,58,65,69,70,71,114,115,117,147,148,152,153,197,223,225,227,
244,246,247,250,251,252,253,256,257,258,259,369,470,482,483,554,591,593,594,
596,597,604,605,612,613,624,625,628,629,825,829,832,837,838,839,840,973,977,
1157,1160,1161,1175,1176,1182,1183,1472],[1,3,4,9,11,20,22,23,27,30,51,53,55,
58,67,68,113,130,131,197,223,228,230,244,248,249,362,470,480,481,555,592,825,
833,834,851,853,1158,1184,1186,1473],[1,3,4,5,9,11,20,22,23,24,25,28,36,51,53,
55,58,65,67,68,69,113,114,129,132,140,197,223,228,230,244,246,247,248,249,250,
251,270,271,361,470,480,481,482,555,591,592,593,602,603,610,611,825,833,834,
837,838,852,855,972,1158,1160,1185,1187,1192,1474],[1,3,4,5,6,9,11,20,22,23,
28,31,32,39,40,51,53,55,58,65,67,68,69,70,71,113,117,134,136,146,197,223,228,
230,244,248,249,256,257,258,259,270,272,274,275,276,367,470,480,481,482,483,
555,592,596,597,618,619,622,623,825,833,834,839,840,852,854,856,857,976,1158,
1161,1188,1190,1193,1475],[1,3,4,9,11,20,22,23,30,41,51,53,55,58,67,68,113,
135,137,197,223,228,230,244,248,249,368,470,480,481,555,592,825,833,834,853,
858,1158,1189,1191,1476],[1,3,4,5,6,9,11,20,24,25,29,30,31,32,36,39,51,55,58,
65,68,69,70,71,114,116,117,150,151,155,156,197,223,233,235,244,246,247,250,
251,254,255,256,257,258,259,271,272,275,370,470,481,482,483,558,591,593,595,
596,597,606,607,614,615,626,627,630,631,825,835,836,837,838,839,840,855,856,
974,978,1159,1160,1161,1194,1195,1196,1197,1477],[1,3,4,5,9,11,21,22,24,26,28,
29,36,51,52,53,55,56,58,67,68,118,121,122,127,129,197,224,225,226,228,231,233,
234,236,238,248,252,254,375,470,472,480,481,559,560,563,564,567,568,571,616,
827,829,831,833,835,844,845,933,1164,1165,1166,1173,1179,1478],[1,3,4,9,11,21,
22,25,27,30,51,53,55,58,67,68,118,130,132,197,224,228,231,247,248,251,374,470,
480,481,560,610,827,833,838,851,853,1165,1184,1187,1479],[1,3,4,5,9,11,21,22,
24,28,30,36,51,53,55,58,65,67,68,69,118,129,131,197,224,228,231,246,248,250,
270,271,373,470,480,481,482,560,602,827,833,837,852,853,855,1165,1185,1186,
1480],[1,3,4,5,6,9,11,21,22,28,31,32,39,41,51,53,55,58,65,67,68,69,70,71,118,
134,137,197,224,228,231,248,256,258,270,272,274,275,379,470,480,481,482,483,
560,618,827,833,839,852,854,856,858,1165,1188,1191,1481],[1,3,4,6,9,11,21,22,
30,32,40,51,53,55,58,67,68,70,71,118,135,136,197,224,228,231,248,257,259,274,
276,380,470,480,481,483,560,619,827,833,840,853,854,857,1165,1189,1190,1482],[
1,3,4,9,11,12,20,22,23,26,27,29,30,51,53,55,58,67,68,73,113,115,116,127,130,
141,142,196,223,225,227,228,230,233,235,248,260,261,363,474,476,477,554,555,
558,564,566,572,574,601,632,634,637,828,847,931,981,1167,1169,1171,1483],[1,2,
3,5,9,11,12,14,16,20,21,26,27,28,51,54,56,65,66,67,69,81,86,87,100,102,115,
121,196,223,225,227,229,231,232,234,260,261,270,288,474,478,479,554,556,557,
565,567,573,575,576,577,632,633,828,848,932,938,1167,1170,1172,1484],[1,3,4,5,
9,11,12,21,22,24,26,28,29,36,51,52,53,55,56,58,69,72,118,121,122,127,129,196,
224,225,226,228,231,233,234,236,238,250,260,261,375,475,476,479,559,560,563,
564,567,568,571,601,633,636,828,849,933,982,1168,1169,1172,1485],[1,2,3,4,5,9,
11,12,14,16,17,21,23,26,28,30,36,51,52,54,55,56,65,66,68,69,72,73,83,86,89,
101,103,121,141,196,224,225,226,229,230,232,235,237,238,260,261,271,273,301,
475,477,478,559,561,562,565,566,569,570,576,577,633,634,636,637,828,850,934,
939,941,1168,1170,1171,1486],[1,3,4,9,11,22,26,27,29,30,51,53,55,58,67,68,127,
130,135,197,225,228,233,248,252,254,406,470,480,481,564,616,829,833,835,851,
853,1173,1184,1189,1487],[1,3,4,5,6,9,11,22,24,26,28,29,31,32,36,39,51,53,55,
58,65,67,68,69,70,71,127,129,134,147,150,197,225,228,233,246,248,250,252,254,
256,258,270,271,272,274,275,407,470,480,481,482,483,564,602,604,606,616,618,
624,626,829,833,835,837,839,852,854,855,856,993,1173,1175,1185,1188,1194,
1488],[1,3,4,9,11,22,26,29,30,41,51,53,55,58,67,68,127,131,137,197,225,228,
233,248,252,254,409,470,480,481,564,616,829,833,835,853,858,1173,1186,1191,
1489],[1,3,4,6,9,11,22,25,26,29,32,40,51,53,55,58,67,68,70,71,127,132,136,152,
155,197,225,228,233,247,248,251,252,254,257,259,274,276,410,470,480,481,483,
564,610,612,614,616,619,628,630,829,833,835,838,840,854,857,1001,1173,1176,
1187,1190,1195,1490],[1,3,4,5,6,9,11,23,24,25,26,30,31,32,39,40,51,55,58,65,
68,69,70,71,140,141,146,147,151,152,156,197,225,230,235,246,247,249,250,251,
252,255,256,257,258,259,272,275,276,433,470,481,482,483,566,603,604,607,611,
612,615,620,622,623,624,627,628,631,829,834,836,837,838,839,840,856,857,995,
1003,1174,1175,1176,1192,1193,1196,1197,1491],[1,3,4,5,6,9,11,22,24,27,28,30,
32,36,40,51,52,53,55,56,58,67,68,70,71,129,130,136,148,151,197,226,228,234,
236,238,248,257,259,274,276,415,470,472,480,481,483,568,619,831,833,840,844,
845,851,853,854,857,1179,1184,1190,1199,1201,1492],[1,3,4,5,9,11,22,24,28,36,
41,51,52,53,55,56,58,65,67,68,69,129,137,174,197,226,228,234,236,238,246,248,
250,270,271,416,470,472,480,481,482,568,602,831,833,837,844,845,852,855,858,
1179,1185,1191,1202,1493],[1,3,4,5,6,9,11,22,24,28,30,31,32,36,39,51,52,53,55,
56,58,65,67,68,69,70,71,129,131,134,149,151,197,226,228,234,236,238,248,256,
258,270,272,274,275,417,470,472,480,481,482,483,568,618,831,833,839,844,845,
852,853,854,856,1179,1186,1188,1200,1201,1494],[1,3,4,5,9,11,22,24,25,28,30,
36,51,52,53,55,56,58,67,68,129,132,135,197,226,228,234,236,238,247,248,251,
418,470,472,480,481,568,610,831,833,838,844,845,853,1179,1187,1189,1495],[1,3,
4,9,11,22,27,30,41,51,53,55,58,67,68,130,137,197,227,228,235,248,253,255,419,
470,480,481,572,617,832,833,836,851,853,858,1180,1184,1191,1496],[1,3,4,5,6,9,
11,22,24,27,28,30,32,36,40,51,53,55,58,65,67,68,69,70,71,129,130,136,148,151,
197,227,228,235,246,248,250,253,255,257,259,270,271,274,276,415,470,480,481,
482,483,572,602,605,607,617,619,625,627,832,833,836,837,840,852,854,855,857,
994,1180,1182,1185,1190,1196,1497],[1,3,4,9,11,22,27,30,51,53,55,58,67,68,130,
131,135,197,227,228,235,248,253,255,420,470,480,481,572,617,832,833,836,853,
1180,1186,1189,1498],[1,3,4,5,6,9,11,22,25,27,28,30,31,32,39,51,53,55,58,65,
67,68,69,70,71,130,132,134,153,156,197,227,228,235,247,248,251,253,255,256,
258,270,272,274,275,421,470,480,481,482,483,572,610,613,615,617,618,629,631,
832,833,836,838,839,852,854,856,1002,1180,1183,1187,1188,1197,1499],[1,3,4,5,
6,9,11,23,24,25,27,29,31,32,36,39,40,51,55,58,65,68,69,70,71,140,142,146,148,
150,153,155,197,227,230,233,246,247,249,250,251,253,254,256,257,258,259,271,
272,275,276,434,470,481,482,483,574,603,605,606,611,613,614,621,622,623,625,
626,629,630,832,834,835,837,838,839,840,855,856,857,996,1004,1181,1182,1183,
1192,1193,1194,1195,1500],[1,3,4,9,10,20,22,23,33,51,113,125,195,223,242,243,
267,358,584,824,956,969,1501],[1,3,4,9,11,12,20,22,23,26,29,35,51,58,113,127,
128,196,225,242,244,245,260,261,268,360,584,601,828,859,958,970,971,1502],[1,
3,4,5,9,11,12,20,22,23,24,25,28,36,51,52,58,65,67,68,69,72,113,114,129,132,
140,196,226,242,244,245,246,247,248,249,250,251,270,271,361,471,474,475,584,
585,591,592,593,598,602,603,610,611,841,859,959,972,1203,1204,1205,1503],[1,3,
5,6,9,11,12,20,24,25,26,27,31,32,52,53,56,58,65,66,70,114,115,117,147,148,152,
153,196,236,242,244,245,246,247,252,253,256,257,369,471,476,478,585,586,588,
591,594,596,600,604,605,612,613,842,859,967,973,1203,1206,1208,1504],[1,3,4,5,
6,9,11,12,20,24,25,29,30,31,32,36,39,52,55,56,58,65,68,69,71,73,114,116,117,
150,151,155,156,196,238,242,244,245,246,247,254,255,258,259,271,272,370,471,
477,479,585,587,588,591,595,597,599,606,607,614,615,843,859,968,974,1203,1207,
1209,1505],[1,3,4,9,11,12,20,22,23,26,27,29,30,51,53,55,58,67,68,73,113,115,
116,127,130,141,142,196,228,242,244,245,248,249,252,253,254,255,363,474,476,
477,584,586,587,592,594,595,599,616,617,620,621,847,859,961,975,1204,1206,
1207,1506],[1,3,4,5,6,9,11,12,20,22,23,28,31,32,39,40,51,56,58,65,66,67,68,69,
70,71,113,117,134,136,146,196,234,242,244,245,248,249,256,257,258,259,270,272,
274,275,276,367,474,478,479,584,588,592,596,597,600,618,619,622,623,848,859,
965,976,1204,1208,1209,1507],[1,3,5,6,9,11,12,20,24,25,26,27,31,32,52,53,56,
58,69,71,72,114,115,117,147,148,152,153,196,236,242,244,245,250,251,252,253,
258,259,369,475,476,479,585,586,588,593,594,597,598,624,625,628,629,849,859,
967,977,1205,1206,1209,1508],[1,3,4,5,6,9,11,12,20,24,25,29,30,31,32,36,39,52,
55,56,58,65,66,68,69,70,72,73,114,116,117,150,151,155,156,196,238,242,244,245,
250,251,254,255,256,257,271,273,275,370,475,477,478,585,587,588,593,595,596,
598,599,600,626,627,630,631,850,859,968,978,979,1205,1207,1208,1509],[1,3,4,5,
6,10,11,12,20,24,25,29,30,31,32,36,39,58,60,65,66,68,69,71,72,73,114,116,117,
150,151,155,156,200,243,244,245,246,247,254,255,258,259,271,272,273,370,490,
491,492,590,591,595,597,598,599,600,606,607,614,615,860,869,974,979,1210,1211,
1212,1510],[1,3,4,11,13,22,26,29,37,58,127,133,205,252,260,262,269,405,601,
861,985,992,1511],[1,3,4,5,6,11,13,22,24,26,28,29,31,32,36,39,58,65,67,68,69,
70,71,74,127,129,134,147,150,205,246,248,250,252,254,256,257,258,260,262,270,
271,272,274,275,407,511,512,513,601,602,604,606,608,609,616,618,624,626,861,
888,987,993,1213,1214,1215,1512],[1,3,5,6,11,13,20,24,25,26,27,31,32,58,65,67,
70,71,74,114,115,117,147,148,152,153,205,244,246,247,252,253,256,257,260,262,
274,369,511,512,513,591,594,596,604,605,608,609,612,613,632,635,861,888,973,
997,1213,1217,1219,1513],[1,3,4,5,6,11,13,23,24,25,26,30,31,32,39,40,58,65,68,
70,71,74,75,80,140,141,146,147,151,152,156,205,246,249,251,252,255,256,259,
260,262,272,276,278,433,512,515,518,603,604,607,608,609,620,622,628,631,634,
635,638,639,861,891,995,999,1000,1213,1218,1220,1514],[1,3,4,11,13,20,22,23,
26,27,29,30,58,67,68,75,113,115,116,127,130,141,142,205,244,248,249,252,253,
254,255,260,262,363,511,515,592,594,595,601,616,617,620,621,632,634,638,861,
889,975,981,1214,1217,1218,1515],[1,3,4,6,11,13,22,25,26,29,32,40,58,67,68,70,
71,80,127,132,136,152,155,205,247,248,251,252,254,257,259,260,262,274,276,410,
511,513,518,601,610,612,614,616,619,628,630,635,639,861,890,991,1001,1214,
1219,1220,1516],[1,3,5,6,11,13,20,24,25,26,27,31,32,58,67,69,70,71,80,114,115,
117,147,148,152,153,205,244,250,251,252,253,258,259,260,262,274,369,511,513,
518,593,594,597,608,624,625,628,629,632,635,639,861,890,977,997,1215,1217,
1220,1517],[1,3,4,5,6,11,13,23,24,25,26,30,31,32,39,40,58,68,69,70,71,75,140,
141,146,147,151,152,156,205,247,249,250,252,255,257,258,260,262,275,276,433,
513,515,608,611,612,615,620,623,624,627,634,635,638,861,893,999,1003,1215,
1218,1219,1518],[1,3,4,5,6,11,12,13,23,24,25,26,30,31,32,39,40,58,68,69,70,71,
73,74,75,80,140,141,146,147,151,152,156,206,247,249,250,252,255,257,258,261,
262,275,276,278,433,514,519,520,609,611,612,615,620,623,624,627,637,638,639,
862,894,1000,1003,1216,1221,1222,1519],[1,2,4,6,7,8,10,13,15,19,40,41,42,43,
44,46,57,59,60,61,62,63,64,74,75,76,77,78,79,80,95,96,98,183,185,190,191,202,
239,240,241,263,264,265,266,277,278,279,280,281,282,283,336,488,496,497,498,
499,500,501,581,655,863,864,865,871,872,873,874,875,876,877,878,1223,1224,
1225,1229,1230,1231,1232,1520],[1,2,4,6,7,8,10,13,15,19,40,41,42,43,45,46,57,
59,60,61,62,63,64,74,75,76,77,78,79,80,95,96,99,183,184,187,188,204,239,240,
241,263,264,265,266,277,278,279,280,281,282,283,334,489,505,506,507,508,509,
510,581,655,866,867,868,880,881,882,883,884,885,886,887,1226,1227,1228,1233,
1234,1235,1236,1521],[1,3,4,6,7,8,11,13,22,32,40,42,43,44,45,46,58,67,68,70,
71,74,75,76,77,78,79,80,136,138,139,183,184,185,186,205,248,257,259,274,276,
277,278,279,280,281,282,283,428,511,512,513,515,516,517,518,619,655,888,889,
890,891,892,893,895,896,897,898,899,1237,1238,1239,1240,1241,1242,1243,1522],[
1,4,5,12,36,41,45,66,72,73,174,192,194,207,273,458,521,523,900,902,903,1244,
1246,1247,1523],[1,4,5,12,36,41,44,66,72,73,174,189,193,208,273,460,522,524,
901,904,905,1245,1248,1249,1524],[1,3,4,20,21,22,23,25,26,27,29,30,34,47,113,
115,116,118,119,126,127,130,132,141,142,209,210,211,359,363,365,372,374,382,
400,525,526,527,528,529,530,531,532,533,534,748,906,907,908,909,910,911,912,
913,914,915,916,1250,1251,1252,1253,1254,1255,1256,1525],[1,2,9,10,11,12,13,
50,54,57,59,195,196,197,198,199,200,201,202,203,204,205,206,207,208,461,462,
463,464,466,484,488,489,657,658,659,660,661,1018,1019,1020,1026,1257,1526],[1,
3,9,10,11,12,13,51,53,58,67,195,196,197,198,199,200,201,202,203,204,205,206,
207,208,465,470,474,476,480,511,657,658,659,660,661,1021,1022,1033,1036,1257,
1527],[1,5,9,10,11,12,13,52,56,65,66,69,72,195,196,197,198,199,200,201,202,
203,204,205,206,207,208,471,472,473,475,478,479,482,487,490,492,521,522,657,
658,659,660,661,1023,1025,1032,1034,1035,1041,1257,1528],[1,4,9,10,11,12,13,
55,60,68,73,75,195,196,197,198,199,200,201,202,203,204,205,206,207,208,467,
477,481,485,486,491,493,496,502,507,515,519,523,524,657,658,659,660,661,1024,
1027,1037,1040,1042,1257,1529],[1,7,9,10,11,12,13,62,63,78,79,195,196,197,198,
199,200,201,202,203,204,205,206,207,208,468,494,495,498,500,505,508,517,657,
658,659,660,661,1028,1031,1045,1046,1257,1530],[1,8,9,10,11,12,13,61,64,76,77,
195,196,197,198,199,200,201,202,203,204,205,206,207,208,469,497,499,503,504,
506,509,516,657,658,659,660,661,1029,1030,1043,1044,1257,1531],[1,6,9,10,11,
12,13,70,71,74,80,195,196,197,198,199,200,201,202,203,204,205,206,207,208,483,
501,510,512,513,514,518,520,657,658,659,660,661,1038,1039,1047,1048,1257,
1532],[1,3,9,11,12,26,47,51,67,196,210,225,260,261,284,474,662,828,1051,
1533],[1,3,11,13,26,47,58,67,205,210,252,260,262,285,511,665,861,1051,1534],[
1,3,9,10,20,47,51,53,195,210,223,242,243,284,465,662,824,1052,1535],[1,3,9,11,
12,20,47,53,58,196,210,242,244,245,285,476,665,859,1052,1536],[1,3,9,11,21,47,
51,58,197,210,224,231,284,285,470,532,662,665,827,919,1057,1059,1258,1537],[1,
3,4,9,11,22,47,51,53,55,58,67,68,197,209,210,211,228,248,284,285,470,480,481,
526,662,663,664,665,666,667,833,919,1058,1063,1258,1259,1260,1538],[1,3,9,11,
25,47,51,58,197,210,247,251,284,285,470,533,662,665,838,919,1062,1064,1258,
1539],[1,3,9,11,27,47,53,67,197,209,284,285,480,529,663,666,851,919,1259,
1540],[1,3,9,11,30,47,53,67,197,209,284,285,480,531,663,666,853,919,1259,
1541],[1,2,3,4,5,11,14,15,16,17,20,21,22,23,24,25,26,27,28,29,30,33,34,35,36,
58,65,67,68,69,81,82,83,84,85,86,87,88,89,92,100,101,102,103,113,114,115,116,
118,119,120,121,122,125,126,127,128,129,130,131,132,140,141,142,143,165,244,
246,247,248,249,250,251,260,270,271,286,287,288,289,291,292,293,294,295,300,
301,302,305,306,307,308,358,359,360,361,362,363,364,365,371,372,373,374,375,
376,377,381,382,391,392,400,401,576,591,592,593,601,602,603,610,611,632,633,
634,668,669,670,671,672,675,676,681,682,701,702,743,747,748,757,935,938,939,
970,972,980,981,982,983,984,1065,1262,1264,1265,1321,1322,1329,1330,1542],[1,
2,3,4,5,6,11,14,15,16,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,35,36,37,
38,39,58,65,70,81,82,83,84,85,86,87,88,89,90,91,93,94,100,101,102,103,104,105,
106,107,108,113,114,115,116,117,118,119,120,121,122,123,124,127,128,129,130,
133,134,135,141,142,144,145,147,148,149,150,152,153,154,172,244,246,247,252,
253,256,257,260,286,287,288,289,290,292,293,294,296,297,300,301,302,303,304,
305,307,309,310,311,312,313,315,317,318,319,338,339,340,341,342,343,344,360,
363,366,369,372,375,378,383,384,389,405,406,407,408,411,576,591,594,596,601,
604,605,608,612,613,669,671,673,677,678,687,688,689,691,703,704,707,714,750,
761,935,937,970,973,980,985,986,987,1068,1262,1266,1267,1277,1279,1323,1331,
1543],[1,2,3,4,5,6,11,14,15,16,17,18,20,21,22,23,24,25,26,28,29,30,31,32,35,
36,39,40,41,58,65,68,69,71,81,82,83,84,85,86,88,89,90,91,95,101,103,106,107,
108,113,114,116,117,118,119,120,121,123,124,127,128,131,132,134,135,136,137,
141,143,144,146,150,151,152,154,155,156,173,244,246,247,254,255,258,259,260,
271,272,286,287,290,292,293,295,297,298,300,301,303,313,314,315,316,317,319,
320,360,364,365,367,368,370,372,376,377,379,380,383,385,386,387,388,390,408,
409,410,412,413,414,576,591,595,597,601,606,607,614,615,633,634,635,669,672,
674,679,680,689,690,692,693,705,706,751,752,762,763,935,939,940,970,974,980,
988,989,990,991,1069,1262,1268,1269,1324,1325,1332,1333,1544],[1,2,3,4,5,9,14,
15,16,17,20,21,22,23,24,25,26,27,28,29,30,33,34,35,36,50,51,53,54,55,81,82,83,
84,85,86,87,88,89,92,100,101,102,103,113,114,115,116,118,119,120,121,122,125,
126,127,128,129,130,131,132,140,141,142,143,165,218,220,221,223,224,228,229,
230,231,242,286,287,288,289,291,292,293,294,295,300,301,302,305,306,307,308,
358,359,360,361,362,363,364,365,371,372,373,374,375,376,377,381,382,391,392,
400,401,541,544,545,555,556,560,561,579,583,584,586,587,668,669,670,671,672,
675,676,681,682,701,702,743,747,748,757,921,936,945,946,953,956,957,961,962,
963,1065,1263,1271,1272,1293,1296,1303,1306,1545],[1,2,3,4,5,6,9,14,16,17,18,
20,21,22,23,24,25,26,27,28,29,30,31,32,33,35,36,38,39,40,51,54,56,81,84,85,86,
87,90,91,100,101,102,104,105,106,107,108,111,113,114,115,116,117,119,120,121,
123,124,125,127,128,129,130,131,132,134,136,140,141,142,143,145,146,147,148,
149,150,151,152,153,154,155,156,158,172,223,225,227,229,231,232,234,242,287,
288,290,305,306,309,310,313,314,317,318,320,338,339,340,342,343,346,348,349,
358,360,361,362,363,364,365,367,369,370,381,383,385,386,389,390,391,392,394,
407,410,414,415,417,421,433,434,435,554,556,557,565,567,573,575,579,584,588,
675,677,679,707,708,710,711,727,728,729,731,743,752,753,768,932,936,947,956,
958,960,963,965,1072,1263,1273,1274,1287,1288,1302,1310,1546],[1,2,3,4,5,9,14,
15,16,17,20,21,22,23,24,25,28,29,30,33,36,37,38,41,50,51,52,54,55,81,84,85,88,
89,94,100,101,103,105,107,113,114,116,119,120,122,125,129,132,133,135,137,140,
144,149,154,157,174,219,221,223,226,229,231,233,235,237,242,287,289,305,306,
311,312,315,316,319,339,341,358,361,365,366,368,381,384,387,388,393,395,416,
418,423,548,551,553,556,558,569,571,579,583,584,585,587,675,678,680,709,712,
713,744,754,769,928,936,946,948,954,956,959,963,964,966,1073,1263,1275,1276,
1298,1301,1304,1312,1547],[1,2,3,4,5,6,11,14,15,16,17,18,20,21,22,23,24,25,26,
27,28,29,30,31,32,35,36,37,38,39,58,65,67,68,69,70,71,81,82,83,84,85,86,87,88,
89,90,91,93,94,100,101,102,103,104,105,106,107,108,113,114,115,116,117,118,
119,120,121,122,123,124,127,128,129,130,133,134,135,141,142,144,145,147,148,
149,150,152,153,154,172,246,248,250,252,254,256,258,260,270,271,272,274,275,
286,287,288,289,290,292,293,294,296,297,300,301,302,303,304,305,307,309,310,
311,312,313,315,317,318,319,338,339,340,341,342,343,344,360,363,366,369,372,
375,378,383,384,389,405,406,407,408,411,576,601,602,604,606,608,616,618,624,
626,632,633,634,635,669,671,673,677,678,687,688,689,691,703,704,707,714,750,
761,935,937,938,939,940,981,982,985,988,990,993,997,998,1068,1264,1266,1268,
1280,1281,1334,1337,1548],[1,2,3,4,5,6,11,14,15,16,17,20,21,22,23,24,25,26,27,
28,29,30,31,32,36,39,40,41,58,65,67,68,69,70,71,81,82,83,84,86,87,88,89,91,95,
100,101,102,103,113,114,115,116,117,118,121,122,127,129,130,131,132,134,135,
136,137,140,141,142,146,147,148,149,150,151,152,153,155,156,174,246,248,250,
253,255,257,259,260,270,271,274,276,286,288,289,292,294,295,297,298,301,302,
305,307,310,312,314,316,361,362,363,367,368,369,370,373,374,375,379,380,406,
407,409,410,415,416,417,418,419,420,421,433,434,576,601,602,605,607,608,617,
619,625,627,632,633,634,635,670,671,674,688,690,694,695,708,709,715,716,753,
755,764,766,935,938,939,981,982,986,987,989,991,994,997,999,1070,1264,1267,
1269,1335,1336,1338,1339,1549],[1,2,3,4,5,6,11,14,15,16,17,18,22,23,24,25,26,
29,30,31,32,33,34,37,38,39,40,41,58,65,68,70,71,82,84,85,86,88,90,91,92,93,94,
95,104,105,106,107,111,112,125,126,127,131,132,133,136,137,140,141,143,146,
147,151,152,155,156,157,158,166,167,246,249,251,252,255,256,259,260,272,276,
291,292,295,296,298,306,308,309,311,314,316,317,320,321,322,346,347,348,349,
391,393,400,402,405,409,410,422,423,433,576,601,603,604,607,608,620,622,628,
631,634,635,681,683,687,690,696,710,712,717,719,774,789,935,937,940,983,984,
985,989,991,995,999,1076,1265,1266,1269,1282,1283,1340,1343,1550],[1,2,3,4,5,
6,11,14,15,16,17,18,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,38,39,40,
58,65,68,69,70,71,82,83,84,85,86,87,88,89,90,91,92,101,103,106,107,108,119,
120,121,123,124,125,126,127,128,129,130,131,132,134,135,140,141,142,143,144,
145,146,147,148,149,150,151,152,153,154,155,156,158,165,246,249,251,253,254,
257,258,260,271,272,275,276,291,292,293,294,295,297,301,303,306,308,310,312,
313,315,317,318,319,320,381,382,383,386,388,389,390,391,392,394,395,400,401,
403,406,407,408,413,414,417,418,420,421,433,434,435,576,601,603,605,606,608,
621,623,629,630,633,634,635,681,682,684,688,689,693,695,711,713,718,720,768,
770,775,790,935,939,940,983,984,986,987,988,990,996,998,999,1077,1265,1267,
1268,1341,1342,1344,1345,1551],[1,2,3,4,5,6,7,8,13,14,15,16,17,18,19,22,24,26,
29,31,37,38,42,43,44,45,46,74,76,79,82,84,86,88,90,93,94,96,97,98,99,104,105,
109,110,127,133,138,139,147,175,176,177,178,179,180,181,182,262,269,277,292,
296,299,309,311,327,328,329,330,331,332,333,345,405,424,425,426,427,578,609,
649,650,687,697,698,721,722,793,794,942,992,1084,1270,1346,1347,1552],[1,2,3,
4,5,6,13,14,15,16,17,18,22,23,24,25,26,29,30,31,32,33,34,37,38,39,40,41,74,75,
80,82,84,85,86,88,90,91,92,93,94,95,104,105,106,107,111,112,125,126,127,131,
132,133,136,137,140,141,143,146,147,151,152,155,156,157,158,166,167,262,269,
278,291,292,295,296,298,306,308,309,311,314,316,317,320,321,322,346,347,348,
349,391,393,400,402,405,409,410,422,423,433,578,609,638,639,651,652,681,683,
687,690,696,710,712,717,719,774,789,943,992,1000,1076,1270,1348,1349,1553],[1,
2,3,4,5,6,7,8,13,14,15,16,17,18,19,22,24,26,29,31,37,38,42,43,44,45,46,74,77,
78,82,84,86,88,90,93,94,96,97,98,99,104,105,109,110,127,133,138,139,147,175,
176,177,178,179,180,181,182,262,269,279,292,296,299,309,311,327,328,329,330,
331,332,333,345,405,424,425,426,427,578,609,653,654,687,697,698,721,722,793,
794,944,992,1084,1270,1350,1351,1554],[1,2,3,4,5,6,9,14,15,16,17,18,20,21,22,
23,24,25,26,27,28,29,30,31,32,35,36,37,38,39,50,51,52,53,54,55,56,81,82,83,84,
85,86,87,88,89,90,91,93,94,100,101,102,103,104,105,106,107,108,113,114,115,
116,117,118,119,120,121,122,123,124,127,128,129,130,133,134,135,141,142,144,
145,147,148,149,150,152,153,154,172,218,219,220,221,222,225,228,229,232,233,
236,237,242,286,287,288,289,290,292,293,294,296,297,300,301,302,303,304,305,
307,309,310,311,312,313,315,317,318,319,338,339,340,341,342,343,344,360,363,
366,369,372,375,378,383,384,389,405,406,407,408,411,542,544,546,550,551,564,
565,579,583,584,585,586,587,588,669,671,673,677,678,687,688,689,691,703,704,
707,714,750,761,923,936,945,946,947,948,953,954,955,958,961,964,967,1068,1271,
1273,1275,1285,1286,1294,1308,1555],[1,2,3,4,5,6,9,14,15,16,17,20,21,22,23,24,
25,26,27,28,29,30,31,32,36,39,40,41,50,51,52,53,54,55,56,81,82,83,84,86,87,88,
89,91,95,100,101,102,103,113,114,115,116,117,118,121,122,127,129,130,131,132,
134,135,136,137,140,141,142,146,147,148,149,150,151,152,153,155,156,174,218,
220,221,226,227,228,229,234,235,236,238,242,286,288,289,292,294,295,297,298,
301,302,305,307,310,312,314,316,361,362,363,367,368,369,370,373,374,375,379,
380,406,407,409,410,415,416,417,418,419,420,421,433,434,543,544,547,568,569,
572,573,579,583,584,585,586,587,588,670,671,674,688,690,694,695,708,709,715,
716,753,755,764,766,925,936,945,946,953,959,960,961,965,966,967,968,1070,1271,
1274,1276,1295,1297,1311,1313,1556],[1,2,3,4,5,6,9,14,16,17,18,20,21,22,23,24,
25,26,28,29,30,31,32,34,35,36,38,39,41,51,52,54,55,56,83,84,86,89,90,100,101,
103,104,105,106,107,108,112,113,114,116,117,118,120,121,122,124,126,127,128,
129,131,132,134,135,137,140,141,143,144,145,147,149,150,151,154,155,156,165,
167,172,173,174,224,225,226,229,230,232,235,237,238,242,300,301,304,305,308,
309,312,313,316,338,339,340,341,344,347,348,349,350,359,360,361,364,368,370,
373,375,376,379,389,400,401,403,407,408,409,412,413,414,416,417,418,435,444,
559,561,562,565,566,569,570,579,584,585,587,588,701,703,705,707,709,717,720,
729,730,732,733,747,751,764,790,934,936,947,948,957,958,959,962,966,968,1088,
1272,1273,1276,1289,1290,1305,1309,1557],[1,2,3,4,5,6,9,14,15,16,17,18,20,21,
22,23,24,25,27,28,29,30,31,32,34,35,36,37,38,39,40,50,51,52,54,55,56,81,83,84,
85,87,88,89,90,91,94,100,101,102,103,105,106,107,108,113,114,116,117,118,119,
120,122,123,124,126,128,129,130,131,133,134,135,136,142,143,144,146,148,149,
150,151,154,155,156,165,166,219,221,222,224,227,229,230,233,234,237,238,242,
287,289,290,300,302,303,305,307,308,310,311,312,313,314,315,319,320,339,341,
343,359,362,364,366,367,370,373,377,378,380,382,384,385,386,390,401,402,403,
411,413,415,417,420,422,549,551,552,561,563,573,574,579,583,584,585,587,588,
676,678,679,701,704,706,708,716,718,719,720,749,756,765,771,930,936,946,948,
954,955,957,960,962,964,965,968,1075,1272,1274,1275,1299,1300,1307,1314,
1558],[1,2,3,4,5,6,11,14,16,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,
35,36,38,39,40,58,65,67,68,69,70,71,81,84,85,86,87,90,91,100,101,102,104,105,
106,107,108,111,113,114,115,116,117,119,120,121,123,124,125,127,128,129,130,
131,132,134,136,140,141,142,143,145,146,147,148,149,150,151,152,153,154,155,
156,158,172,244,248,249,256,257,258,259,260,270,272,274,275,276,287,288,290,
305,306,309,310,313,314,317,318,320,338,339,340,342,343,346,348,349,358,360,
361,362,363,364,365,367,369,370,381,383,385,386,389,390,391,392,394,407,410,
414,415,417,421,433,434,435,576,592,596,597,601,608,618,619,622,623,632,633,
634,635,675,677,679,707,708,710,711,727,728,729,731,743,752,753,768,937,938,
940,970,976,981,983,987,990,991,997,998,999,1072,1277,1280,1282,1321,1325,
1336,1342,1559],[1,2,3,4,5,6,11,14,16,17,18,20,21,22,23,24,25,26,28,29,30,31,
32,34,35,36,38,39,41,58,65,68,69,70,83,84,86,89,90,100,101,103,104,105,106,
107,108,112,113,114,116,117,118,120,121,122,124,126,127,128,129,131,132,134,
135,137,140,141,143,144,145,147,149,150,151,154,155,156,165,167,172,173,174,
244,250,251,254,255,256,257,260,271,275,300,301,304,305,308,309,312,313,316,
338,339,340,341,344,347,348,349,350,359,360,361,364,368,370,373,375,376,379,
389,400,401,403,407,408,409,412,413,414,416,417,418,435,444,576,593,595,596,
601,608,626,627,630,631,633,634,701,703,705,707,709,717,720,729,730,732,733,
747,751,764,790,937,939,970,978,982,984,987,988,989,998,1088,1277,1281,1283,
1322,1324,1339,1345,1560],[1,2,3,4,5,6,12,14,16,17,18,20,21,22,23,24,25,26,28,
29,30,31,32,34,35,36,38,39,41,66,72,73,83,84,86,89,90,100,101,103,104,105,106,
107,108,112,113,114,116,117,118,120,121,122,124,126,127,128,129,131,132,134,
135,137,140,141,143,144,145,147,149,150,151,154,155,156,165,167,172,173,174,
245,261,268,273,300,301,304,305,308,309,312,313,316,338,339,340,341,344,347,
348,349,350,359,360,361,364,368,370,373,375,376,379,389,400,401,403,407,408,
409,412,413,414,416,417,418,435,444,577,598,599,600,636,637,646,647,648,701,
703,705,707,709,717,720,729,730,732,733,747,751,764,790,941,971,979,1009,1088,
1278,1326,1327,1561],[1,2,3,4,5,6,11,14,16,17,18,20,21,22,23,24,25,26,27,28,
29,30,31,32,34,38,39,41,58,65,67,68,69,70,71,81,84,85,86,87,90,91,100,102,103,
104,105,106,107,112,113,114,115,116,117,118,119,120,121,123,124,126,127,130,
131,132,134,135,137,141,142,145,147,148,149,152,153,154,156,167,247,248,251,
253,255,256,258,260,270,272,274,275,287,288,290,307,308,309,310,315,316,317,
318,338,339,342,343,344,347,348,359,362,363,365,368,369,372,374,377,379,382,
383,386,387,388,389,400,403,406,409,419,420,421,576,601,608,610,613,615,617,
618,629,631,632,633,634,635,676,677,680,714,715,717,718,728,730,734,735,748,
755,763,770,937,938,940,980,981,984,986,989,990,997,998,1002,1074,1279,1280,
1283,1329,1333,1335,1344,1562],[1,2,3,4,5,6,11,14,16,17,18,21,22,23,24,25,26,
27,28,29,30,31,32,33,35,36,38,39,40,58,65,68,69,70,71,83,84,85,86,89,90,91,
101,102,103,104,105,106,107,108,111,118,119,120,121,122,123,124,125,127,128,
129,130,131,132,135,136,140,141,142,143,144,145,146,147,148,149,150,151,152,
153,155,156,158,172,247,249,250,253,254,256,259,260,271,272,275,276,300,301,
304,306,307,309,312,314,315,317,320,340,341,342,343,344,346,348,349,371,372,
373,374,375,376,377,380,381,385,388,389,390,391,392,395,406,408,410,413,415,
418,420,433,434,576,601,608,611,613,614,621,622,625,626,633,634,635,702,703,
706,710,713,714,716,731,733,735,736,757,762,766,775,937,939,940,980,982,983,
986,988,991,998,999,1004,1089,1279,1281,1282,1330,1332,1338,1341,1563],[1,2,3,
4,5,6,9,14,16,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,35,36,38,39,40,
50,51,52,53,54,55,56,81,84,85,86,87,90,91,100,101,102,104,105,106,107,108,111,
113,114,115,116,117,119,120,121,123,124,125,127,128,129,130,131,132,134,136,
140,141,142,143,145,146,147,148,149,150,151,152,153,154,155,156,158,172,219,
220,222,223,226,228,230,232,234,236,237,238,242,287,288,290,305,306,309,310,
313,314,317,318,320,338,339,340,342,343,346,348,349,358,360,361,362,363,364,
365,367,369,370,381,383,385,386,389,390,391,392,394,407,410,414,415,417,421,
433,434,435,548,550,552,555,557,568,570,579,583,584,585,586,587,588,675,677,
679,707,708,710,711,727,728,729,731,743,752,753,768,927,945,947,948,954,955,
956,959,961,962,965,967,968,1072,1285,1287,1289,1298,1300,1303,1311,1564],[1,
2,3,4,5,6,9,14,16,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,34,38,39,41,50,
51,52,53,54,55,56,81,84,85,86,87,90,91,100,102,103,104,105,106,107,112,113,
114,115,116,117,118,119,120,121,123,124,126,127,130,131,132,134,135,137,141,
142,145,147,148,149,152,153,154,156,167,219,220,222,224,227,228,231,232,235,
236,237,242,287,288,290,307,308,309,310,315,316,317,318,338,339,342,343,344,
347,348,359,362,363,365,368,369,372,374,377,379,382,383,386,387,388,389,400,
403,406,409,419,420,421,549,550,553,560,562,572,575,579,583,584,585,586,587,
588,676,677,680,714,715,717,718,728,730,734,735,748,755,763,770,929,945,947,
948,954,955,957,960,961,963,966,967,1074,1285,1288,1290,1299,1301,1306,1313,
1565],[1,2,3,4,5,6,9,14,15,16,17,18,20,21,22,23,28,29,30,31,32,33,34,37,38,39,
40,41,50,51,54,55,56,81,82,83,88,89,90,91,92,93,94,95,100,103,104,106,111,112,
113,116,117,118,122,123,124,125,126,133,134,135,136,137,144,145,146,157,158,
166,167,218,221,222,223,224,232,233,234,235,242,286,289,290,291,296,297,298,
303,304,321,322,338,344,346,347,358,359,366,367,368,371,378,379,380,393,394,
395,402,403,541,546,547,557,558,562,563,579,583,584,587,588,668,673,674,683,
684,727,730,736,744,749,758,922,946,947,953,955,956,957,964,965,966,1066,1286,
1287,1290,1293,1297,1304,1307,1566],[1,2,3,4,5,6,9,14,15,16,17,18,20,21,22,23,
24,25,27,28,29,30,31,32,35,36,37,38,39,50,51,52,54,55,56,81,82,83,85,87,88,89,
90,91,93,94,100,101,102,103,104,105,106,107,108,113,114,116,117,118,119,122,
123,124,128,129,130,131,132,133,134,135,140,142,143,144,145,149,150,151,153,
154,155,156,172,218,221,222,226,227,230,231,232,233,237,238,242,286,289,290,
293,294,295,296,297,302,303,304,318,319,338,339,340,342,344,348,349,361,362,
364,365,366,370,373,374,376,377,378,384,386,388,411,413,414,417,418,420,421,
422,423,435,543,545,546,570,571,574,575,579,583,584,585,587,588,670,672,673,
691,693,695,696,728,729,733,735,754,756,765,767,926,946,947,948,953,955,959,
960,962,963,964,968,1071,1286,1288,1289,1295,1296,1312,1314,1567],[1,2,3,4,5,
6,10,14,15,16,17,18,20,21,22,23,28,29,30,31,32,33,34,37,38,39,40,41,57,59,60,
81,82,83,88,89,90,91,92,93,94,95,100,103,104,106,111,112,113,116,117,118,122,
123,124,125,126,133,134,135,136,137,144,145,146,157,158,166,167,239,243,267,
286,289,290,291,296,297,298,303,304,321,322,338,344,346,347,358,359,366,367,
368,371,378,379,380,393,394,395,402,403,580,582,589,590,640,641,668,673,674,
683,684,727,730,736,744,749,758,949,951,969,1066,1291,1315,1316,1568],[1,2,3,
4,5,6,7,8,10,16,18,19,20,22,23,28,31,32,33,38,39,40,42,43,44,45,46,57,61,63,
100,104,106,109,110,111,113,117,125,134,136,138,139,145,146,158,159,160,161,
162,163,164,181,182,183,184,185,186,240,243,267,338,345,346,351,353,355,358,
367,394,396,397,398,399,428,440,441,442,443,580,582,642,644,727,737,739,745,
746,785,786,950,969,1096,1291,1318,1320,1569],[1,2,3,4,5,6,7,8,10,16,18,19,20,
22,23,28,31,32,33,38,39,40,42,43,44,45,46,57,62,64,100,104,106,109,110,111,
113,117,125,134,136,138,139,145,146,158,159,160,161,162,163,164,181,182,183,
184,185,186,241,243,267,338,345,346,351,353,355,358,367,394,396,397,398,399,
428,440,441,442,443,580,582,643,645,727,737,739,745,746,785,786,952,969,1096,
1291,1317,1319,1570],[1,2,3,4,5,9,14,15,16,17,20,21,22,23,24,25,26,27,28,29,
30,33,34,35,36,50,51,52,81,82,83,84,85,86,87,88,89,92,100,101,102,103,113,114,
115,116,118,119,120,121,122,125,126,127,128,129,130,131,132,140,141,142,143,
165,218,219,223,224,225,226,227,242,286,287,288,289,291,292,293,294,295,300,
301,302,305,306,307,308,358,359,360,361,362,363,364,365,371,372,373,374,375,
376,377,381,382,391,392,400,401,541,542,543,548,549,554,559,583,584,585,668,
669,670,671,672,675,676,681,682,701,702,743,747,748,757,920,953,954,956,957,
958,959,960,1065,1293,1294,1295,1298,1299,1302,1305,1571],[1,2,3,4,5,6,9,14,
15,16,17,18,20,21,22,23,24,25,26,28,29,30,31,32,35,36,39,40,41,50,51,52,55,56,
81,82,83,84,85,86,88,89,90,91,95,101,103,106,107,108,113,114,116,117,118,119,
120,121,123,124,127,128,131,132,134,135,136,137,141,143,144,146,150,151,152,
154,155,156,173,218,219,222,225,230,231,234,235,238,242,286,287,290,292,293,
295,297,298,300,301,303,313,314,315,316,317,319,320,360,364,365,367,368,370,
372,376,377,379,380,383,385,386,387,388,390,408,409,410,412,413,414,542,545,
547,552,553,566,567,583,584,585,587,588,669,672,674,679,680,689,690,692,693,
705,706,751,752,762,763,924,953,954,955,958,962,963,965,966,968,1069,1294,
1296,1297,1300,1301,1309,1310,1572],[1,3,4,9,20,22,23,26,27,29,30,33,35,37,41,
51,53,55,113,115,116,125,127,128,130,131,133,135,137,141,142,143,144,157,173,
223,225,227,228,230,233,235,242,358,360,362,363,364,366,368,391,392,393,395,
405,406,408,409,411,412,413,419,420,422,554,555,558,564,566,572,574,584,586,
587,743,744,750,751,755,756,774,775,776,931,956,958,960,961,962,964,966,1100,
1302,1303,1304,1308,1309,1313,1314,1573],[1,3,4,5,6,9,20,21,22,23,24,25,26,27,
28,29,30,31,32,34,35,36,37,39,40,51,52,53,55,56,113,114,115,116,117,118,119,
121,122,123,126,127,128,129,130,132,133,134,135,136,140,141,142,144,146,147,
148,150,151,152,153,154,155,156,165,166,224,225,226,228,231,233,234,236,238,
242,359,360,361,363,365,366,367,369,370,372,374,375,376,378,380,382,383,384,
385,388,400,401,402,403,405,406,407,408,410,411,414,415,418,421,423,433,434,
559,560,563,564,567,568,571,584,585,586,587,588,747,748,749,750,752,753,754,
761,762,766,767,770,771,789,790,933,957,958,959,961,963,964,965,967,968,1105,
1305,1306,1307,1308,1310,1311,1312,1574],[1,2,3,4,7,8,10,14,15,19,20,21,22,23,
33,34,42,43,44,45,59,61,62,81,82,83,92,96,97,98,99,113,118,125,126,138,139,
159,160,161,162,163,164,168,169,170,171,243,263,267,286,291,299,323,324,325,
326,358,359,371,396,397,398,399,404,589,640,644,645,668,685,686,745,746,759,
760,969,1006,1067,1315,1317,1318,1575],[1,2,3,4,7,8,10,14,15,19,20,21,22,23,
33,34,42,43,44,45,59,63,64,81,82,83,92,96,97,98,99,113,118,125,126,138,139,
159,160,161,162,163,164,168,169,170,171,243,264,267,286,291,299,323,324,325,
326,358,359,371,396,397,398,399,404,589,640,642,643,668,685,686,745,746,759,
760,969,1005,1067,1315,1319,1320,1576],[1,3,4,7,10,20,22,23,29,30,33,37,41,42,
45,60,62,63,113,116,125,133,135,137,138,144,157,159,161,163,175,178,179,187,
190,192,243,266,267,358,366,368,393,395,396,398,424,429,436,439,590,641,642,
645,744,745,777,779,787,969,1007,1101,1316,1317,1320,1577],[1,3,4,8,10,20,22,
23,29,30,33,37,41,43,44,60,61,64,113,116,125,133,135,137,139,144,157,160,162,
164,176,177,180,188,189,191,243,265,267,358,366,368,393,395,397,399,425,430,
437,438,590,641,643,644,744,746,778,780,788,969,1008,1102,1316,1318,1319,
1578],[1,3,4,11,20,22,23,26,27,29,30,33,35,37,41,58,67,68,113,115,116,125,127,
128,130,131,133,135,137,141,142,143,144,157,173,244,248,249,252,253,254,255,
260,358,360,362,363,364,366,368,391,392,393,395,405,406,408,409,411,412,413,
419,420,422,592,594,595,601,616,617,620,621,632,634,743,744,750,751,755,756,
774,775,776,970,975,981,983,985,986,988,989,1100,1321,1323,1324,1334,1335,
1340,1341,1579],[1,3,4,5,6,11,20,21,22,23,24,25,26,27,28,29,30,31,32,34,35,36,
37,39,40,58,69,71,113,114,115,116,117,118,119,121,122,123,126,127,128,129,130,
132,133,134,135,136,140,141,142,144,146,147,148,150,151,152,153,154,155,156,
165,166,244,250,251,252,253,258,259,260,359,360,361,363,365,366,367,369,370,
372,374,375,376,378,380,382,383,384,385,388,400,401,402,403,405,406,407,408,
410,411,414,415,418,421,423,433,434,593,594,597,601,624,625,628,629,633,635,
747,748,749,750,752,753,754,761,762,766,767,770,771,789,790,970,977,982,984,
985,986,990,991,1105,1322,1323,1325,1337,1338,1343,1344,1580],[1,3,4,5,6,11,
20,21,22,23,24,25,26,27,28,29,30,31,32,34,35,36,37,39,40,58,67,68,70,71,113,
114,115,116,117,118,119,121,122,123,126,127,128,129,130,132,133,134,135,136,
140,141,142,144,146,147,148,150,151,152,153,154,155,156,165,166,247,248,251,
252,254,257,259,260,274,276,359,360,361,363,365,366,367,369,370,372,374,375,
376,378,380,382,383,384,385,388,400,401,402,403,405,406,407,408,410,411,414,
415,418,421,423,433,434,601,608,610,612,614,616,619,628,630,632,634,635,747,
748,749,750,752,753,754,761,762,766,767,770,771,789,790,980,981,984,985,987,
988,991,997,999,1001,1105,1329,1331,1332,1334,1336,1343,1345,1581],[1,3,4,5,6,
11,21,22,23,24,25,26,28,29,30,31,32,33,36,37,38,39,40,41,58,68,69,70,71,118,
119,120,121,122,123,124,125,127,129,131,133,134,137,140,141,143,145,146,147,
149,150,151,152,154,156,157,158,174,247,249,250,252,255,257,258,260,275,276,
371,372,373,375,377,378,379,381,383,384,386,387,389,390,391,393,394,405,407,
409,416,417,422,433,435,601,608,611,612,615,620,623,624,627,633,634,635,757,
758,761,763,764,765,768,769,774,980,982,983,985,987,989,990,998,999,1003,1106,
1330,1331,1333,1337,1339,1340,1342,1582],[1,3,4,7,13,22,23,26,29,30,33,37,41,
42,45,75,78,79,125,127,131,133,137,138,141,143,157,159,161,163,175,178,179,
187,190,192,262,269,281,391,393,396,405,409,422,424,426,429,436,439,638,649,
651,653,774,777,783,793,801,992,1010,1115,1346,1348,1350,1583],[1,3,4,6,7,8,
13,22,25,26,29,32,34,37,40,42,43,44,45,46,77,79,80,126,127,132,133,136,138,
139,152,155,166,168,169,170,171,175,176,177,178,179,180,183,184,185,186,262,
269,283,400,402,404,405,410,423,424,425,426,427,428,445,446,447,448,639,649,
652,654,789,791,792,793,794,803,804,992,1011,1123,1346,1349,1351,1584],[1,3,4,
8,13,22,23,26,29,30,33,37,41,43,44,75,76,77,125,127,131,133,137,139,141,143,
157,160,162,164,176,177,180,188,189,191,262,269,280,391,393,397,405,409,422,
425,427,430,437,438,638,650,651,654,774,778,784,794,802,992,1012,1116,1347,
1348,1351,1585],[1,3,4,6,7,8,13,22,25,26,29,32,34,37,40,42,43,44,45,46,76,78,
80,126,127,132,133,136,138,139,152,155,166,168,169,170,171,175,176,177,178,
179,180,183,184,185,186,262,269,282,400,402,404,405,410,423,424,425,426,427,
428,445,446,447,448,639,650,652,653,789,791,792,793,794,803,804,992,1013,1123,
1347,1349,1350,1586],[1,3,4,22,34,47,48,49,126,209,210,211,212,215,526,534,
535,538,656,909,1014,1015,1352,1353,1354,1587],[1,3,4,8,22,43,44,47,48,49,139,
209,210,211,212,213,214,215,526,537,540,656,1014,1015,1016,1352,1355,1357,
1588],[1,3,4,7,22,42,45,47,48,49,138,209,210,211,212,215,216,217,526,536,539,
656,1014,1015,1017,1352,1356,1358,1589],[1,4,8,34,43,45,47,48,49,171,211,212,
213,214,215,534,535,536,537,538,656,917,1015,1016,1353,1355,1358,1590],[1,4,7,
34,42,44,47,48,49,168,211,212,215,216,217,534,535,538,539,540,656,918,1015,
1017,1353,1356,1357,1591],[1,4,7,8,34,42,43,47,48,49,169,211,212,213,214,215,
216,217,534,537,539,656,1015,1016,1017,1354,1355,1356,1592],[1,4,34,44,45,47,
48,49,170,211,212,215,534,536,540,656,1015,1354,1357,1358,1593],[1,2,3,5,9,11,
12,13,14,16,26,50,51,52,54,56,58,65,66,86,196,197,199,205,206,218,219,225,229,
232,252,260,261,262,462,470,471,472,473,478,542,565,576,577,659,807,811,828,
829,830,861,862,1032,1125,1126,1127,1170,1378,1594],[1,2,3,4,9,10,11,12,14,15,
22,50,51,53,54,55,57,58,59,60,67,68,73,82,195,196,197,198,200,218,220,221,228,
229,239,248,461,462,463,464,465,466,467,470,474,476,477,480,481,484,485,491,
544,657,807,808,809,810,812,813,815,816,818,833,847,1018,1019,1021,1022,1024,
1129,1133,1359,1360,1361,1362,1366,1595],[1,2,3,5,9,10,11,12,14,27,28,50,51,
53,54,56,57,65,66,67,69,87,195,196,197,198,200,220,227,229,234,270,461,462,
463,465,466,474,478,479,480,482,492,573,657,809,812,848,851,852,1018,1022,
1025,1143,1360,1369,1370,1596],[1,2,3,5,9,10,11,12,14,28,30,50,51,52,53,54,57,
65,67,69,72,89,195,196,197,198,200,220,226,229,235,270,461,462,463,465,466,
471,474,475,480,482,490,569,657,809,812,841,852,853,1018,1022,1023,1144,1360,
1368,1371,1597],[1,2,3,5,9,10,11,12,16,20,28,50,51,52,54,56,57,58,100,195,196,
197,198,200,219,223,226,232,234,242,243,244,245,461,462,463,466,470,472,548,
557,579,580,657,811,824,825,826,831,859,860,1018,1136,1137,1138,1155,1377,
1598],[1,2,3,5,9,10,11,12,14,27,28,50,51,52,53,54,59,65,67,69,72,87,195,196,
197,198,200,218,220,226,227,270,461,462,464,465,471,474,475,480,482,484,490,
543,657,808,812,841,851,852,1019,1022,1023,1143,1362,1368,1369,1599],[1,2,3,5,
9,10,11,12,14,28,30,50,51,53,54,56,59,65,66,67,69,89,195,196,197,198,200,218,
220,234,235,270,461,462,464,465,474,478,479,480,482,484,492,547,657,808,812,
848,852,853,1019,1022,1025,1144,1362,1370,1371,1600],[1,2,4,7,8,9,10,12,13,15,
19,42,43,50,54,55,57,59,60,61,62,63,64,73,75,76,77,78,79,96,195,198,199,201,
202,203,204,221,239,240,241,263,264,265,266,280,281,463,464,466,467,468,469,
484,485,486,488,489,493,494,495,496,497,498,499,502,503,504,505,506,507,508,
581,658,815,816,817,819,820,821,863,864,865,866,867,868,870,871,872,879,880,
882,1020,1026,1027,1028,1029,1030,1031,1147,1223,1226,1363,1364,1365,1373,
1374,1375,1376,1601],[1,3,4,9,10,11,12,22,27,30,51,53,55,58,60,67,68,73,130,
195,196,197,198,200,227,228,235,248,465,467,470,474,476,477,480,481,485,491,
572,657,818,833,847,851,853,1021,1022,1024,1184,1366,1369,1371,1602],[1,3,4,5,
9,10,11,12,22,24,28,36,51,52,53,55,56,58,60,65,66,67,68,69,72,73,129,195,196,
197,198,200,226,228,234,236,238,246,248,250,270,271,273,465,467,470,471,474,
475,476,477,478,479,480,481,482,485,490,491,492,568,602,657,818,833,837,841,
842,843,847,848,849,850,852,855,869,1021,1022,1023,1024,1025,1185,1198,1366,
1367,1368,1370,1372,1603],[1,2,3,9,10,11,12,14,20,21,50,51,54,58,59,81,195,
196,197,198,200,218,223,224,229,231,242,243,244,245,461,462,464,470,484,541,
556,583,589,657,807,824,825,826,827,859,860,1019,1124,1151,1154,1162,1377,
1604],[1,3,9,10,11,12,20,26,27,51,53,58,115,195,196,197,198,200,223,225,227,
242,243,244,245,252,253,465,470,476,554,586,594,657,824,825,826,829,832,859,
860,1021,1152,1157,1206,1377,1605],[1,3,4,9,10,11,12,20,22,23,51,53,55,58,67,
68,113,195,196,197,198,200,223,228,230,242,243,244,245,248,249,465,470,474,
480,481,555,584,592,657,824,825,826,833,834,859,860,1022,1153,1158,1204,1377,
1606],[1,3,4,9,10,11,12,20,29,30,51,55,58,60,68,73,116,195,196,197,198,200,
223,233,235,242,243,244,245,254,255,467,470,477,481,485,491,558,587,590,595,
599,657,824,825,826,835,836,859,860,1024,1156,1159,1163,1207,1211,1377,1607],[
1,3,5,9,10,11,12,20,24,25,51,52,58,65,69,72,114,195,196,197,198,200,223,242,
243,244,245,246,247,250,251,470,471,475,482,490,585,591,593,598,657,824,825,
826,837,838,859,860,1023,1160,1203,1205,1210,1377,1608],[1,3,5,6,9,10,11,12,
20,31,32,51,56,58,65,66,69,70,71,117,195,196,197,198,200,223,242,243,244,245,
256,257,258,259,470,478,479,482,483,492,588,596,597,600,657,824,825,826,839,
840,859,860,1025,1161,1208,1209,1212,1377,1609],[1,3,9,11,12,13,20,26,27,51,
58,67,115,196,197,199,205,206,223,225,227,244,252,253,260,261,262,470,474,511,
554,594,632,659,825,828,829,830,832,861,862,1033,1157,1167,1217,1378,1610],[1,
3,5,9,11,12,13,21,26,28,51,52,56,58,69,72,121,196,197,199,205,206,224,225,226,
231,234,252,260,261,262,470,472,475,479,487,559,567,633,636,659,827,828,829,
830,831,861,862,1034,1164,1168,1172,1178,1378,1611],[1,3,4,9,11,12,13,22,26,
29,51,53,55,58,67,68,127,196,197,199,205,206,225,228,233,248,252,254,260,261,
262,470,476,480,481,511,564,601,616,659,828,829,830,833,835,861,862,1036,1169,
1173,1214,1378,1612],[1,3,4,9,11,12,13,23,26,30,51,55,58,68,73,75,141,196,197,
199,205,206,225,230,235,249,252,255,260,261,262,470,477,481,486,515,519,566,
620,634,637,638,659,828,829,830,834,836,861,862,1037,1171,1174,1177,1218,1221,
1378,1613],[1,3,5,6,9,11,12,13,24,26,31,51,58,65,69,70,71,74,147,196,197,199,
205,206,225,246,250,252,256,258,260,261,262,470,482,483,512,513,514,604,608,
609,624,659,828,829,830,837,839,861,862,1038,1175,1213,1215,1216,1378,1614],[
1,3,6,9,11,12,13,25,26,32,51,58,70,71,80,152,196,197,199,205,206,225,247,251,
252,257,259,260,261,262,470,483,513,518,520,612,628,635,639,659,828,829,830,
838,840,861,862,1039,1176,1219,1220,1222,1378,1615],[1,3,4,5,9,11,12,13,22,24,
28,36,51,52,53,55,56,58,65,66,67,68,69,72,73,75,129,196,197,199,205,206,226,
228,234,236,238,246,248,250,270,271,273,470,471,472,473,474,475,476,477,478,
479,480,481,486,487,511,515,519,568,602,659,831,833,841,842,843,844,845,846,
847,848,849,850,889,1032,1033,1034,1036,1037,1179,1198,1379,1380,1381,1382,
1384,1616],[1,3,5,6,9,11,12,13,24,27,32,52,53,56,58,65,66,67,70,71,74,148,196,
197,199,205,206,236,246,253,257,274,471,472,473,476,478,480,483,511,512,513,
514,605,659,842,844,851,854,888,1032,1036,1038,1199,1380,1386,1388,1617],[1,3,
5,6,9,11,12,13,24,30,32,52,53,56,58,65,66,67,70,71,80,151,196,197,199,205,206,
236,246,255,259,274,471,472,473,476,478,480,483,511,513,518,520,607,659,842,
844,853,854,890,1032,1036,1039,1201,1380,1387,1389,1618],[1,3,4,9,11,12,13,22,
27,30,51,53,55,58,67,68,73,75,130,196,197,199,205,206,228,248,253,255,470,474,
476,477,480,481,486,511,515,519,617,659,833,847,851,853,889,1033,1036,1037,
1184,1382,1386,1387,1619],[1,3,4,6,9,11,12,13,22,32,40,51,53,55,58,67,68,70,
71,73,74,75,80,136,196,197,199,205,206,228,248,257,259,274,276,278,470,474,
476,477,480,481,483,486,511,512,513,514,515,518,519,520,619,659,833,840,847,
854,857,888,889,890,891,893,894,1033,1036,1037,1038,1039,1190,1237,1382,1383,
1388,1389,1390,1620],[1,3,5,6,9,11,12,13,24,27,32,52,53,56,58,67,69,70,71,72,
80,148,196,197,199,205,206,236,250,253,259,274,472,475,476,479,480,483,487,
511,513,518,520,625,659,844,849,851,854,890,1034,1036,1039,1199,1384,1386,
1389,1621],[1,3,5,6,9,11,12,13,24,30,32,52,53,56,58,67,69,70,71,72,74,151,196,
197,199,205,206,236,250,255,257,274,472,475,476,479,480,483,487,511,512,513,
514,627,659,844,849,853,854,888,1034,1036,1038,1201,1384,1387,1388,1622],[1,4,
6,7,8,10,11,12,13,40,42,43,46,60,61,62,63,64,68,70,71,73,74,75,76,77,78,79,80,
183,200,201,202,203,204,205,206,265,266,276,277,278,279,280,281,282,283,491,
493,494,495,496,497,499,500,501,502,503,504,505,507,508,509,510,512,514,515,
516,517,518,519,520,655,661,870,871,873,875,877,878,879,880,881,883,886,887,
891,892,894,895,897,899,1042,1043,1044,1045,1046,1047,1048,1229,1233,1240,
1391,1392,1393,1394,1395,1396,1397,1623],[1,4,6,7,8,13,34,37,40,42,43,45,46,
48,74,75,76,77,78,79,80,166,169,171,176,179,183,184,212,213,214,269,277,278,
279,280,281,282,283,446,535,536,537,650,652,653,655,917,1013,1049,1398,1399,
1400,1624],[1,4,6,7,8,13,34,37,40,42,43,44,46,49,74,75,76,77,78,79,80,166,168,
169,175,180,183,185,215,216,217,269,277,278,279,280,281,282,283,445,538,539,
540,649,652,654,655,918,1011,1050,1401,1402,1403,1625],[1,3,4,11,20,22,23,26,
29,35,47,58,67,68,113,127,128,209,210,211,244,248,249,260,360,525,526,527,592,
601,906,970,1051,1404,1626],[1,3,4,5,11,21,22,24,26,28,29,36,47,58,65,67,68,
69,118,121,122,127,129,209,210,211,246,248,250,260,270,271,375,526,532,601,
602,633,910,982,1051,1404,1405,1627],[1,3,4,11,22,25,26,29,34,47,58,67,68,126,
127,132,209,210,211,247,248,251,260,400,526,534,601,610,909,984,1051,1404,
1628],[1,3,4,11,22,26,29,37,47,58,67,68,127,133,209,210,211,248,252,254,260,
405,526,528,530,601,616,911,985,1051,1404,1629],[1,3,4,11,22,26,27,29,30,47,
58,67,68,127,130,135,209,210,211,248,253,255,260,406,526,529,531,601,617,912,
986,1051,1404,1630],[1,3,4,5,6,11,21,22,25,26,28,29,31,32,39,47,58,65,67,68,
69,70,71,119,121,123,127,134,152,154,209,210,211,248,256,258,260,270,272,274,
275,383,526,532,533,601,618,633,635,913,990,1051,1404,1405,1406,1631],[1,3,4,
6,11,22,25,26,29,32,40,47,58,67,68,70,71,127,132,136,152,155,209,210,211,248,
257,259,260,274,276,410,526,533,601,619,635,914,991,1051,1404,1406,1632],[1,2,
3,4,9,14,15,20,21,22,23,47,50,51,53,54,55,81,82,83,113,118,209,210,211,218,
220,221,228,229,242,286,526,532,544,583,584,910,953,1052,1407,1408,1633],[1,2,
3,4,5,9,14,16,17,20,21,22,23,24,25,47,50,51,52,53,54,55,56,81,84,85,113,114,
119,120,209,210,211,219,220,222,228,232,236,237,242,287,526,532,533,550,583,
584,585,913,954,1052,1407,1408,1409,1634],[1,3,4,9,20,22,23,33,47,51,53,55,
113,125,209,210,211,223,228,230,242,358,525,526,527,555,584,906,956,1052,1408,
1635],[1,3,4,9,20,21,22,23,34,47,51,53,55,113,118,126,209,210,211,224,228,231,
242,359,526,534,560,584,909,957,1052,1408,1636],[1,3,4,9,20,22,23,26,29,35,47,
51,53,55,113,127,128,209,210,211,225,228,233,242,360,526,528,530,564,584,911,
958,1052,1408,1637],[1,3,4,9,20,22,23,27,30,47,51,53,55,113,130,131,209,210,
211,227,228,235,242,362,526,529,531,572,584,912,960,1052,1408,1638],[1,3,4,5,
9,20,22,23,24,25,28,36,47,51,52,53,55,56,113,114,129,132,140,209,210,211,226,
228,234,236,238,242,361,526,533,568,584,585,914,959,1052,1408,1409,1639],[1,2,
4,7,8,10,15,19,33,34,42,43,44,49,57,59,60,61,62,63,64,92,96,98,159,160,168,
169,215,216,217,239,240,241,263,264,265,266,267,323,538,539,540,581,640,642,
643,918,1005,1053,1410,1411,1412,1640],[1,2,4,7,8,10,15,19,33,34,42,43,45,48,
57,59,60,61,62,63,64,92,96,99,162,163,169,171,212,213,214,239,240,241,263,264,
265,266,267,325,535,536,537,581,640,644,645,917,1006,1054,1413,1414,1415,
1641],[1,3,4,9,20,21,22,23,34,47,51,113,118,126,209,210,211,224,242,284,359,
525,526,527,532,534,584,662,906,909,910,957,1057,1060,1250,1419,1642],[1,3,4,
9,20,22,23,26,27,29,30,47,51,53,55,113,115,116,127,130,141,142,209,210,211,
228,242,284,363,525,526,527,528,529,530,531,584,586,587,662,663,664,906,907,
908,911,912,915,916,961,1058,1060,1251,1419,1420,1421,1643],[1,3,4,9,20,21,22,
23,25,47,51,113,119,132,209,210,211,231,242,284,365,525,526,527,532,533,584,
662,906,913,914,963,1059,1060,1252,1419,1644],[1,3,4,11,21,22,25,26,29,47,58,
118,119,127,209,210,211,247,260,285,372,526,528,530,532,533,601,665,910,911,
913,980,1061,1062,1255,1422,1645],[1,3,4,11,20,22,23,26,27,29,30,47,58,67,68,
113,115,116,127,130,141,142,209,210,211,248,260,285,363,525,526,527,528,529,
530,531,601,632,634,665,666,667,906,907,908,911,912,915,916,981,1061,1063,
1251,1422,1423,1424,1646],[1,3,4,11,22,25,26,29,34,47,58,126,127,132,209,210,
211,251,260,285,400,526,528,530,533,534,601,665,909,911,914,984,1061,1064,
1253,1422,1647],[1,2,3,4,5,6,7,8,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,
29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,81,82,83,84,85,86,87,88,
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,
187,188,189,190,191,192,193,194,286,287,288,289,290,291,292,293,294,295,296,
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,
449,450,451,452,453,454,455,456,457,458,459,460,668,669,670,671,672,673,674,
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,
789,790,791,792,793,794,795,796,797,798,799,800,801,802,803,804,805,806,1065,
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,
1111,1112,1113,1114,1115,1116,1117,1118,1119,1120,1121,1122,1123,1426,1427,
1428,1429,1430,1431,1432,1433,1434,1435,1436,1437,1438,1439,1440,1648],[1,2,3,
4,5,9,11,14,15,16,17,20,21,22,23,24,26,27,28,29,30,36,50,51,52,53,54,55,56,58,
67,68,81,82,83,84,86,87,88,89,100,101,102,103,113,115,116,118,121,122,127,129,
130,141,142,197,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,
233,234,235,236,237,238,244,248,249,252,253,254,255,286,288,289,292,294,301,
302,305,307,363,375,462,470,472,480,481,541,542,543,544,545,546,547,548,549,
550,551,552,553,554,555,556,557,558,559,560,561,562,563,564,565,566,567,568,
569,570,571,572,573,574,575,592,594,595,616,617,620,621,671,807,811,812,813,
814,825,827,829,831,832,833,834,835,836,844,845,920,921,922,923,924,925,926,
927,928,929,930,931,932,933,934,975,1124,1126,1128,1129,1130,1131,1132,1137,
1139,1140,1141,1142,1157,1158,1159,1164,1165,1166,1173,1174,1179,1180,1181,
1261,1441,1442,1443,1447,1448,1450,1451,1460,1462,1471,1478,1649],[1,2,3,4,5,
9,11,14,15,20,21,22,23,24,25,27,28,30,36,50,51,53,54,55,58,65,67,68,69,81,82,
83,87,89,113,114,118,129,130,131,132,140,197,218,220,221,223,224,228,229,230,
231,244,246,247,248,249,250,251,270,271,286,294,295,361,362,373,374,462,470,
480,481,482,541,544,545,555,556,560,561,591,592,593,602,603,610,611,670,807,
812,813,825,827,833,834,837,838,851,852,853,855,921,972,1124,1129,1130,1143,
1144,1158,1160,1165,1184,1185,1186,1187,1192,1442,1452,1453,1473,1474,1479,
1480,1650],[1,2,3,4,5,6,9,11,14,15,20,21,22,23,28,30,31,32,39,40,41,50,51,53,
54,55,58,65,67,68,69,70,71,81,82,83,89,91,95,113,117,118,134,135,136,137,146,
197,218,220,221,223,224,228,229,230,231,244,248,249,256,257,258,259,270,272,
274,275,276,286,297,298,367,368,379,380,462,470,480,481,482,483,541,544,545,
555,556,560,561,592,596,597,618,619,622,623,674,807,812,813,825,827,833,834,
839,840,852,853,854,856,857,858,921,976,1124,1129,1130,1144,1145,1146,1158,
1161,1165,1188,1189,1190,1191,1193,1442,1454,1455,1475,1476,1481,1482,1651],[
1,2,3,4,5,9,11,12,14,15,16,17,20,21,22,23,24,26,27,28,29,30,36,50,51,52,53,54,
55,56,58,65,66,67,68,69,72,73,81,82,83,84,86,87,88,89,100,101,102,103,113,115,
116,118,121,122,127,129,130,141,142,196,218,219,220,221,222,223,224,225,226,
227,228,229,230,231,232,233,234,235,236,237,238,246,248,250,260,261,270,271,
273,286,288,289,292,294,301,302,305,307,363,375,471,474,475,476,477,478,479,
541,542,543,544,545,546,547,548,549,550,551,552,553,554,555,556,557,558,559,
560,561,562,563,564,565,566,567,568,569,570,571,572,573,574,575,576,577,601,
602,632,633,634,636,637,671,828,841,842,843,847,848,849,850,920,921,922,923,
924,925,926,927,928,929,930,931,932,933,934,935,938,939,941,981,982,1125,1167,
1168,1169,1170,1171,1172,1198,1261,1264,1444,1445,1446,1483,1484,1485,1486,
1652],[1,2,3,4,5,6,9,11,14,15,16,17,22,24,26,27,28,29,30,31,32,36,39,50,51,52,
53,54,55,56,58,65,67,68,69,70,71,82,84,86,87,88,89,91,127,129,130,134,135,147,
148,149,150,197,218,219,220,221,222,225,228,229,232,233,236,237,246,248,250,
252,254,256,258,270,271,272,274,275,292,294,297,310,312,406,407,462,470,472,
480,481,482,483,542,544,546,550,551,564,565,602,604,606,616,618,624,626,688,
807,811,812,813,814,829,833,835,837,839,844,851,852,853,854,855,856,923,993,
1126,1129,1131,1140,1143,1144,1145,1173,1175,1184,1185,1188,1189,1194,1199,
1200,1447,1452,1454,1463,1464,1487,1488,1653],[1,2,3,4,5,6,9,11,14,15,16,17,
22,24,25,26,29,30,32,40,41,50,51,52,53,54,55,56,58,67,68,70,71,82,84,86,88,91,
95,127,131,132,136,137,151,152,155,197,218,219,220,221,222,225,228,229,232,
233,236,237,247,248,251,252,254,257,259,274,276,292,295,298,314,316,409,410,
462,470,472,480,481,483,542,544,546,550,551,564,565,610,612,614,616,619,628,
630,690,807,811,812,813,814,829,833,835,838,840,844,853,854,857,858,923,1001,
1126,1129,1131,1140,1145,1146,1173,1176,1186,1187,1190,1191,1195,1201,1447,
1453,1455,1465,1466,1489,1490,1654],[1,2,3,4,5,6,9,11,14,15,22,24,27,28,30,32,
36,40,41,50,51,52,53,54,55,56,58,65,67,68,69,70,71,82,87,89,95,129,130,136,
137,148,151,174,197,218,220,221,226,227,228,229,234,235,236,238,246,248,250,
253,255,257,259,270,271,274,276,294,298,415,416,419,462,470,472,480,481,482,
483,543,544,547,568,569,572,573,602,605,607,617,619,625,627,694,807,812,813,
831,832,833,836,837,840,844,845,851,852,853,854,855,857,858,925,994,1128,1129,
1132,1143,1144,1146,1179,1180,1182,1184,1185,1190,1191,1196,1199,1201,1202,
1450,1452,1455,1492,1493,1496,1497,1655],[1,2,3,4,5,6,9,11,14,15,22,24,25,27,
28,30,31,32,36,39,50,51,52,53,54,55,56,58,65,67,68,69,70,71,82,87,89,91,129,
130,131,132,134,135,149,151,153,156,197,218,220,221,226,227,228,229,234,235,
236,238,247,248,251,253,255,256,258,270,272,274,275,294,295,297,417,418,420,
421,462,470,472,480,481,482,483,543,544,547,568,569,572,573,610,613,615,617,
618,629,631,695,807,812,813,831,832,833,836,838,839,844,845,852,853,854,856,
925,1002,1128,1129,1132,1144,1145,1179,1180,1183,1186,1187,1188,1189,1197,
1200,1201,1450,1453,1454,1494,1495,1498,1499,1656],[1,2,3,4,5,9,10,14,15,16,
17,20,21,22,23,24,26,27,28,29,30,36,50,51,52,53,54,55,56,57,59,60,81,82,83,84,
86,87,88,89,100,101,102,103,113,115,116,118,121,122,127,129,130,141,142,195,
218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,
237,238,239,242,243,286,288,289,292,294,301,302,305,307,363,375,461,464,465,
466,467,541,542,543,544,545,546,547,548,549,550,551,552,553,554,555,556,557,
558,559,560,561,562,563,564,565,566,567,568,569,570,571,572,573,574,575,579,
580,583,584,586,587,589,590,671,808,809,810,816,818,824,920,921,922,923,924,
925,926,927,928,929,930,931,932,933,934,936,945,946,949,953,961,1133,1136,
1151,1152,1153,1154,1155,1156,1261,1271,1457,1458,1459,1467,1468,1469,1470,
1657],[1,2,3,4,5,6,9,11,14,16,17,20,22,23,24,27,28,30,31,32,36,39,40,50,51,52,
53,54,55,56,58,65,67,68,69,70,71,84,87,91,100,101,113,117,129,130,131,134,136,
146,148,149,151,197,219,220,222,223,226,228,230,232,234,236,237,238,244,248,
249,256,257,258,259,270,272,274,275,276,305,310,314,362,367,415,417,462,470,
472,480,481,482,483,548,550,552,555,557,568,570,592,596,597,618,619,622,623,
708,811,812,814,825,831,833,834,839,840,844,845,851,852,853,854,856,857,927,
976,1137,1140,1141,1143,1145,1158,1161,1179,1184,1186,1188,1190,1193,1199,
1200,1201,1460,1463,1465,1473,1475,1492,1494,1658],[1,2,3,4,5,9,11,14,16,17,
20,22,23,24,25,28,30,36,41,50,51,52,53,54,55,56,58,65,67,68,69,84,89,100,101,
113,114,129,132,135,137,140,149,174,197,219,220,222,223,226,228,230,232,234,
236,237,238,244,246,247,248,249,250,251,270,271,305,312,316,361,368,416,418,
462,470,472,480,481,482,548,550,552,555,557,568,570,591,592,593,602,603,610,
611,709,811,812,814,825,831,833,834,837,838,844,845,852,853,855,858,927,972,
1137,1140,1141,1144,1158,1160,1179,1185,1187,1189,1191,1192,1200,1202,1460,
1464,1466,1474,1476,1493,1495,1659],[1,2,3,4,5,6,9,11,14,16,17,21,22,24,25,27,
28,30,31,32,39,41,50,51,52,53,54,55,56,58,65,67,68,69,70,71,84,87,91,102,103,
118,130,132,134,137,148,149,153,156,197,219,220,222,224,227,228,231,232,235,
236,237,247,248,251,253,255,256,258,270,272,274,275,307,310,316,374,379,419,
421,462,470,472,480,481,482,483,549,550,553,560,562,572,575,610,613,615,617,
618,629,631,715,811,812,814,827,832,833,836,838,839,844,851,852,853,854,856,
858,929,1002,1139,1140,1142,1143,1145,1165,1180,1183,1184,1187,1188,1191,1197,
1199,1200,1462,1463,1466,1479,1481,1496,1499,1660],[1,2,3,4,5,6,9,11,14,16,17,
21,22,24,27,28,30,32,36,40,50,51,52,53,54,55,56,58,65,67,68,69,70,71,84,89,91,
102,103,118,129,130,131,135,136,148,149,151,197,219,220,222,224,227,228,231,
232,235,236,237,246,248,250,253,255,257,259,270,271,274,276,307,312,314,373,
380,415,420,462,470,472,480,481,482,483,549,550,553,560,562,572,575,602,605,
607,617,619,625,627,716,811,812,814,827,832,833,836,837,840,844,852,853,854,
855,857,929,994,1139,1140,1142,1144,1145,1165,1180,1182,1185,1186,1189,1190,
1196,1200,1201,1462,1464,1465,1480,1482,1497,1498,1661],[1,3,4,9,11,20,22,23,
26,27,29,30,41,51,53,55,58,67,68,113,115,116,127,130,131,135,137,141,142,197,
223,225,227,228,230,233,235,244,248,249,252,253,254,255,362,363,368,406,409,
419,420,470,480,481,554,555,558,564,566,572,574,592,594,595,616,617,620,621,
755,825,829,832,833,834,835,836,851,853,858,931,975,1157,1158,1159,1173,1174,
1180,1181,1184,1186,1189,1191,1471,1473,1476,1487,1489,1496,1498,1662],[1,3,4,
5,6,9,11,20,22,23,24,25,26,27,28,29,30,31,32,36,39,40,51,53,55,58,65,67,68,69,
70,71,113,114,115,116,117,127,129,130,132,134,136,140,141,142,146,147,148,150,
151,152,153,155,156,197,223,225,227,228,230,233,235,244,246,247,248,249,250,
251,252,253,254,255,256,257,258,259,270,271,272,274,275,276,361,363,367,369,
370,407,410,415,421,433,434,470,480,481,482,483,554,555,558,564,566,572,574,
591,592,593,594,595,596,597,602,603,604,605,606,607,610,611,612,613,614,615,
616,617,618,619,620,621,622,623,624,625,626,627,628,629,630,631,753,825,829,
832,833,834,835,836,837,838,839,840,852,854,855,856,857,931,972,973,974,975,
976,977,978,993,994,995,996,1001,1002,1003,1004,1157,1158,1159,1160,1161,1173,
1174,1175,1176,1180,1181,1182,1183,1185,1187,1188,1190,1192,1193,1194,1195,
1196,1197,1328,1471,1472,1474,1475,1477,1488,1490,1491,1497,1499,1500,1663],[
1,3,4,5,6,9,11,21,22,24,25,26,27,28,29,30,32,36,40,51,52,53,55,56,58,67,68,70,
71,118,121,122,127,129,130,132,135,136,148,151,152,155,197,224,225,226,228,
231,233,234,236,238,247,248,251,252,254,257,259,274,276,374,375,380,406,410,
415,418,470,472,480,481,483,559,560,563,564,567,568,571,610,612,614,616,619,
628,630,766,827,829,831,833,835,838,840,844,845,851,853,854,857,933,1001,1164,
1165,1166,1173,1176,1179,1184,1187,1189,1190,1195,1199,1201,1478,1479,1482,
1487,1490,1492,1495,1664],[1,3,4,5,6,9,11,21,22,24,26,28,29,30,31,32,36,39,41,
51,52,53,55,56,58,65,67,68,69,70,71,118,121,122,127,129,131,134,137,147,149,
150,151,174,197,224,225,226,228,231,233,234,236,238,246,248,250,252,254,256,
258,270,271,272,274,275,373,375,379,407,409,416,417,470,472,480,481,482,483,
559,560,563,564,567,568,571,602,604,606,616,618,624,626,764,827,829,831,833,
835,837,839,844,845,852,853,854,855,856,858,933,993,1164,1165,1166,1173,1175,
1179,1185,1186,1188,1191,1194,1200,1201,1202,1478,1480,1481,1488,1489,1493,
1494,1665],[1,2,3,4,5,6,11,13,14,15,16,17,18,22,24,26,29,31,37,38,58,65,70,74,
82,84,86,88,90,93,94,104,105,127,133,147,205,246,252,256,260,262,269,292,296,
309,311,405,512,576,578,601,604,608,609,687,861,935,937,985,992,1213,1266,
1270,1511,1666],[1,2,3,4,5,6,9,11,12,14,16,17,18,20,22,23,24,26,28,29,31,32,
35,36,38,39,51,54,56,58,65,66,70,84,86,90,100,101,104,105,106,108,113,117,127,
128,129,134,145,147,150,172,196,225,229,232,242,244,245,256,257,260,261,268,
305,309,313,338,340,360,407,478,565,576,577,579,584,588,596,600,601,608,647,
707,828,859,936,937,947,958,970,971,987,1170,1208,1273,1277,1278,1502,1667],[
1,2,3,4,5,6,9,10,16,18,20,22,23,28,31,32,33,38,39,40,51,54,56,57,100,104,106,
111,113,117,125,134,136,145,146,158,195,223,232,234,242,243,267,338,346,358,
367,394,466,557,579,580,582,584,588,727,824,947,956,965,969,1155,1287,1291,
1501,1668],[1,2,3,4,5,9,11,12,14,15,16,17,20,21,22,23,24,25,26,29,35,50,51,52,
58,65,81,82,83,84,85,86,88,113,114,118,119,120,127,128,196,218,219,225,242,
244,245,246,247,260,261,268,286,287,292,293,300,360,372,471,542,576,583,584,
585,591,601,669,828,859,935,953,954,958,970,971,980,1125,1203,1262,1294,1502,
1669],[1,2,3,4,5,9,10,14,16,17,20,21,22,23,24,25,28,33,36,50,51,52,54,81,84,
85,100,101,113,114,119,120,125,129,132,140,195,219,223,226,229,231,242,243,
267,287,305,306,358,361,365,381,461,548,556,579,583,584,585,675,824,936,954,
956,959,963,969,1136,1154,1263,1298,1501,1670],[1,2,3,4,9,10,14,15,20,21,22,
23,33,34,50,51,59,81,82,83,92,113,118,125,126,195,218,223,224,242,243,267,286,
291,358,359,371,464,541,583,584,589,640,668,824,953,956,957,969,1151,1293,
1315,1501,1671],[1,3,4,9,10,20,22,23,26,27,29,30,33,35,51,53,55,113,115,116,
125,127,128,130,131,141,142,143,195,223,225,227,228,230,242,243,267,358,360,
362,363,364,391,392,465,554,555,584,586,587,743,824,956,958,960,961,962,969,
1152,1153,1302,1303,1501,1672],[1,3,4,9,10,20,22,23,29,30,33,37,41,51,55,60,
113,116,125,133,135,137,144,157,195,223,233,235,242,243,267,358,366,368,393,
395,467,558,584,587,590,641,744,824,956,964,966,969,1156,1304,1316,1501,
1673],[1,3,4,7,9,10,20,22,23,33,42,45,51,62,63,113,125,138,159,161,163,195,
223,242,243,267,358,396,398,468,584,642,645,745,824,956,969,1317,1320,1501,
1674],[1,3,4,8,9,10,20,22,23,33,43,44,51,61,64,113,125,139,160,162,164,195,
223,242,243,267,358,397,399,469,584,643,644,746,824,956,969,1318,1319,1501,
1675],[1,3,4,9,11,12,20,22,23,26,27,29,30,33,35,51,58,67,68,113,115,116,125,
127,128,130,131,141,142,143,196,223,225,227,242,244,245,248,249,260,261,268,
358,360,362,363,364,391,392,474,554,584,592,601,632,634,743,828,859,956,958,
960,970,971,981,983,1167,1204,1302,1321,1502,1676],[1,3,4,5,9,11,12,20,21,22,
23,24,25,26,28,29,34,35,36,51,52,58,69,72,113,114,118,121,122,126,127,128,129,
132,140,165,196,224,225,226,242,244,245,250,251,260,261,268,359,360,361,375,
376,400,401,475,559,584,585,593,598,601,633,636,646,747,828,859,957,958,959,
970,971,982,984,1168,1205,1305,1322,1326,1502,1677],[1,3,4,9,11,12,20,22,23,
26,27,29,30,35,37,51,53,55,58,113,115,116,127,128,130,133,135,141,142,144,196,
225,228,233,242,244,245,252,253,260,261,268,360,363,366,405,406,408,411,476,
564,584,586,587,594,601,750,828,859,958,961,964,970,971,985,986,1169,1206,
1308,1323,1502,1678],[1,3,4,9,11,12,20,22,23,26,29,30,35,41,51,55,58,68,73,
113,116,127,128,131,135,137,141,143,144,173,196,225,230,235,242,244,245,254,
255,260,261,268,360,364,368,408,409,412,413,477,566,584,587,595,599,601,634,
637,648,751,828,859,958,962,966,970,971,988,989,1171,1207,1309,1324,1327,1502,
1679],[1,3,4,5,6,9,11,12,20,21,22,23,25,26,28,29,31,32,35,39,40,51,56,58,69,
71,113,117,119,121,123,127,128,132,134,136,146,152,154,155,196,225,231,234,
242,244,245,258,259,260,261,268,360,365,367,383,385,410,414,479,567,584,588,
597,601,633,635,752,828,859,958,963,965,970,971,990,991,1172,1209,1310,1325,
1502,1680],[1,3,4,5,6,9,11,12,20,22,23,24,25,26,27,28,29,30,31,32,36,39,40,51,
52,53,55,56,58,65,66,67,68,69,70,71,72,73,113,114,115,116,117,127,129,130,132,
134,136,140,141,142,146,147,148,150,151,152,153,155,156,196,226,228,234,236,
238,242,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,270,
271,272,273,274,275,276,361,363,367,369,370,407,410,415,421,433,434,471,474,
475,476,477,478,479,568,584,585,586,587,588,591,592,593,594,595,596,597,598,
599,600,602,603,604,605,606,607,610,611,612,613,614,615,616,617,618,619,620,
621,622,623,624,625,626,627,628,629,630,631,753,841,842,843,847,848,849,850,
859,959,961,965,967,968,972,973,974,975,976,977,978,979,993,994,995,996,1001,
1002,1003,1004,1198,1203,1204,1205,1206,1207,1208,1209,1311,1328,1503,1504,
1505,1506,1507,1508,1509,1681],[1,3,4,11,13,20,22,23,26,27,29,30,35,37,58,67,
68,113,115,116,127,128,130,133,135,141,142,144,205,244,248,252,253,254,260,
262,269,360,363,366,405,406,408,411,511,594,601,616,632,634,750,861,970,981,
985,986,988,992,1214,1217,1323,1334,1511,1682],[1,3,4,5,6,11,13,21,22,24,25,
26,28,29,31,32,36,37,39,58,69,70,71,118,119,121,122,123,127,129,133,134,147,
150,152,154,205,247,250,252,257,258,260,262,269,372,375,378,383,384,405,407,
513,601,608,612,624,633,635,761,861,980,982,985,987,990,992,1215,1219,1331,
1337,1511,1683],[1,3,4,11,13,22,23,26,29,30,33,37,41,58,68,75,125,127,131,133,
137,141,143,157,205,249,252,255,260,262,269,391,393,405,409,422,515,601,620,
634,638,651,774,861,983,985,989,992,1218,1340,1348,1511,1684],[1,3,4,6,11,13,
22,25,26,29,32,34,37,40,58,71,80,126,127,132,133,136,152,155,166,205,251,252,
259,260,262,269,400,402,405,410,423,518,601,628,635,639,652,789,861,984,985,
991,992,1220,1343,1349,1511,1685],[1,3,4,7,11,13,22,26,29,37,42,45,58,78,79,
127,133,138,175,178,179,205,252,260,262,269,405,424,426,517,601,649,653,793,
861,985,992,1346,1350,1511,1686],[1,3,4,8,11,13,22,26,29,37,43,44,58,76,77,
127,133,139,176,177,180,205,252,260,262,269,405,425,427,516,601,650,654,794,
861,985,992,1347,1351,1511,1687],[1,3,4,5,6,11,13,20,22,23,24,25,26,27,28,29,
30,31,32,36,39,40,58,65,67,68,69,70,71,74,75,80,113,114,115,116,117,127,129,
130,132,134,136,140,141,142,146,147,148,150,151,152,153,155,156,205,244,246,
247,248,249,250,251,252,253,254,255,256,257,258,259,260,262,270,271,272,274,
275,276,278,361,363,367,369,370,407,410,415,421,433,434,511,512,513,515,518,
591,592,593,594,595,596,597,601,602,603,604,605,606,607,608,609,610,611,612,
613,614,615,616,617,618,619,620,621,622,623,624,625,626,627,628,629,630,631,
632,634,635,638,639,753,861,888,889,890,891,893,972,973,974,975,976,977,978,
981,987,991,993,994,995,996,997,999,1000,1001,1002,1003,1004,1213,1214,1215,
1217,1218,1219,1220,1237,1328,1336,1512,1513,1514,1515,1516,1517,1518,1688],[
1,3,11,26,47,48,49,67,209,210,260,285,528,656,666,1014,1051,1061,1689],[1,3,9,
20,47,48,49,53,209,210,242,284,525,656,663,1014,1052,1060,1690],[1,2,3,9,10,
11,12,13,14,50,51,53,54,57,58,59,67,195,196,197,198,199,200,201,202,203,204,
205,206,207,208,218,220,229,461,462,463,464,465,466,470,474,476,480,484,488,
489,511,657,658,659,660,661,807,808,809,812,1018,1019,1020,1021,1022,1026,
1033,1036,1257,1359,1360,1362,1526,1527,1691],[1,2,4,9,10,11,12,13,15,50,54,
55,57,59,60,68,73,75,195,196,197,198,199,200,201,202,203,204,205,206,207,208,
221,239,461,462,463,464,466,467,477,481,484,485,486,488,489,491,493,496,502,
507,515,519,523,524,657,658,659,660,661,810,813,815,816,863,867,1018,1019,
1020,1024,1026,1027,1037,1040,1042,1257,1361,1363,1526,1529,1692],[1,2,7,8,9,
10,11,12,13,19,50,54,57,59,61,62,63,64,76,77,78,79,195,196,197,198,199,200,
201,202,203,204,205,206,207,208,240,241,263,264,461,462,463,464,466,468,469,
484,488,489,494,495,497,498,499,500,503,504,505,506,508,509,516,517,657,658,
659,660,661,817,819,864,865,866,868,1018,1019,1020,1026,1028,1029,1030,1031,
1043,1044,1045,1046,1257,1364,1365,1373,1374,1526,1530,1531,1693],[1,3,5,9,10,
11,12,13,28,51,52,53,56,58,65,66,67,69,72,195,196,197,198,199,200,201,202,203,
204,205,206,207,208,226,234,270,465,470,471,472,473,474,475,476,478,479,480,
482,487,490,492,511,521,522,657,658,659,660,661,831,841,848,852,1021,1022,
1023,1025,1032,1033,1034,1035,1036,1041,1257,1368,1370,1379,1527,1528,1694],[
1,3,9,10,11,12,13,27,51,53,58,67,195,196,197,198,199,200,201,202,203,204,205,
206,207,208,227,253,465,470,474,476,480,511,657,658,659,660,661,832,851,1021,
1022,1033,1036,1257,1369,1386,1527,1695],[1,3,4,9,10,11,12,13,22,51,53,55,58,
60,67,68,73,75,195,196,197,198,199,200,201,202,203,204,205,206,207,208,228,
248,465,467,470,474,476,477,480,481,485,486,491,493,496,502,507,511,515,519,
523,524,657,658,659,660,661,818,833,847,889,1021,1022,1024,1027,1033,1036,
1037,1040,1042,1257,1366,1382,1527,1529,1696],[1,3,9,10,11,12,13,30,51,53,58,
67,195,196,197,198,199,200,201,202,203,204,205,206,207,208,235,255,465,470,
474,476,480,511,657,658,659,660,661,836,853,1021,1022,1033,1036,1257,1371,
1387,1527,1697],[1,3,5,9,10,11,12,13,24,51,52,53,56,58,65,66,67,69,72,195,196,
197,198,199,200,201,202,203,204,205,206,207,208,236,246,250,465,470,471,472,
473,474,475,476,478,479,480,482,487,490,492,511,521,522,657,658,659,660,661,
837,842,844,849,1021,1022,1023,1025,1032,1033,1034,1035,1036,1041,1257,1367,
1380,1384,1527,1528,1698],[1,3,6,9,10,11,12,13,32,51,53,58,67,70,71,74,80,195,
196,197,198,199,200,201,202,203,204,205,206,207,208,257,259,274,465,470,474,
476,480,483,501,510,511,512,513,514,518,520,657,658,659,660,661,840,854,888,
890,1021,1022,1033,1036,1038,1039,1047,1048,1257,1383,1388,1389,1527,1532,
1699],[1,4,5,9,10,11,12,13,36,52,55,56,60,65,66,68,69,72,73,75,195,196,197,
198,199,200,201,202,203,204,205,206,207,208,238,271,273,467,471,472,473,475,
477,478,479,481,482,485,486,487,490,491,492,493,496,502,507,515,519,521,522,
523,524,657,658,659,660,661,843,845,846,850,855,869,900,901,1023,1024,1025,
1027,1032,1034,1035,1037,1040,1041,1042,1257,1372,1381,1385,1528,1529,1700],[
1,4,7,9,10,11,12,13,42,55,60,62,63,68,73,75,78,79,195,196,197,198,199,200,201,
202,203,204,205,206,207,208,266,281,467,468,477,481,485,486,491,493,494,495,
496,498,500,502,505,507,508,515,517,519,523,524,657,658,659,660,661,820,870,
872,873,880,897,1024,1027,1028,1031,1037,1040,1042,1045,1046,1257,1375,1392,
1529,1530,1701],[1,4,8,9,10,11,12,13,43,55,60,61,64,68,73,75,76,77,195,196,
197,198,199,200,201,202,203,204,205,206,207,208,265,280,467,469,477,481,485,
486,491,493,496,497,499,502,503,504,506,507,509,515,516,519,523,524,657,658,
659,660,661,821,871,879,882,883,895,1024,1027,1029,1030,1037,1040,1042,1043,
1044,1257,1376,1391,1529,1531,1702],[1,4,9,10,11,12,13,44,55,60,68,73,75,195,
196,197,198,199,200,201,202,203,204,205,206,207,208,467,477,481,485,486,491,
493,496,502,507,515,519,523,524,657,658,659,660,661,822,874,896,904,1024,1027,
1037,1040,1042,1257,1529,1703],[1,4,9,10,11,12,13,45,55,60,68,73,75,195,196,
197,198,199,200,201,202,203,204,205,206,207,208,467,477,481,485,486,491,493,
496,502,507,515,519,523,524,657,658,659,660,661,823,884,898,902,1024,1027,
1037,1040,1042,1257,1529,1704],[1,4,6,9,10,11,12,13,40,55,60,68,70,71,73,74,
75,80,195,196,197,198,199,200,201,202,203,204,205,206,207,208,276,278,467,477,
481,483,485,486,491,493,496,501,502,507,510,512,513,514,515,518,519,520,523,
524,657,658,659,660,661,857,875,886,891,893,894,1024,1027,1037,1038,1039,1040,
1042,1047,1048,1257,1390,1393,1529,1532,1705],[1,4,9,10,11,12,13,41,55,60,68,
73,75,195,196,197,198,199,200,201,202,203,204,205,206,207,208,467,477,481,485,
486,491,493,496,502,507,515,519,523,524,657,658,659,660,661,858,885,905,1024,
1027,1037,1040,1042,1257,1529,1706],[1,4,9,10,11,12,13,41,55,60,68,73,75,195,
196,197,198,199,200,201,202,203,204,205,206,207,208,467,477,481,485,486,491,
493,496,502,507,515,519,523,524,657,658,659,660,661,858,876,903,1024,1027,
1037,1040,1042,1257,1529,1707],[1,6,7,8,9,10,11,12,13,46,61,62,63,64,70,71,74,
76,77,78,79,80,195,196,197,198,199,200,201,202,203,204,205,206,207,208,277,
279,282,283,468,469,483,494,495,497,498,499,500,501,503,504,505,506,508,509,
510,512,513,514,516,517,518,520,657,658,659,660,661,877,878,881,887,892,899,
1028,1029,1030,1031,1038,1039,1043,1044,1045,1046,1047,1048,1257,1394,1395,
1396,1397,1530,1531,1532,1708],[1,4,12,35,41,48,73,173,207,212,268,523,648,
903,1056,1709],[1,4,10,13,33,37,41,49,60,75,157,204,215,267,269,507,641,651,
885,1050,1053,1710],[1,4,10,13,33,37,41,48,60,75,157,202,212,267,269,496,641,
651,876,1049,1054,1711],[1,4,12,35,41,49,73,173,208,215,268,524,648,905,1055,
1712],[1,3,9,11,20,26,27,47,53,67,115,197,210,242,260,480,586,632,851,1051,
1052,1713],[1,3,5,9,11,12,21,26,28,47,51,52,65,67,69,72,121,196,210,224,225,
226,260,261,270,284,471,474,475,532,559,633,636,662,828,841,1051,1057,1168,
1405,1533,1714],[1,3,4,9,11,12,22,26,29,47,51,53,55,58,67,68,73,127,196,209,
210,211,225,228,233,248,260,261,284,474,476,477,526,564,601,662,663,664,828,
847,1051,1058,1169,1404,1533,1715],[1,3,5,9,11,12,21,26,28,47,51,56,65,66,67,
69,121,196,210,225,231,234,260,261,270,284,474,478,479,532,567,633,662,828,
848,1051,1059,1172,1405,1533,1716],[1,3,6,11,13,25,26,32,47,58,67,70,71,74,
152,205,210,247,252,257,260,262,274,285,511,512,513,533,612,635,665,861,888,
1051,1062,1219,1406,1534,1717],[1,3,4,11,13,22,26,29,47,58,67,68,75,127,205,
209,210,211,248,252,254,260,262,285,511,515,526,601,616,665,666,667,861,889,
1051,1063,1214,1404,1534,1718],[1,3,6,11,13,25,26,32,47,58,67,70,71,80,152,
205,210,251,252,259,260,262,274,285,511,513,518,533,628,635,639,665,861,890,
1051,1064,1220,1406,1534,1719],[1,2,3,9,10,14,20,21,47,50,51,53,54,59,81,195,
210,218,220,223,224,242,243,284,461,464,465,532,541,583,589,662,808,824,1052,
1057,1151,1407,1535,1720],[1,3,4,9,10,20,22,23,47,51,53,55,60,113,195,209,210,
211,223,228,230,242,243,284,465,467,526,555,584,662,663,664,818,824,1052,1058,
1153,1408,1535,1721],[1,2,3,9,10,14,20,21,47,50,51,53,54,57,81,195,210,220,
223,229,231,242,243,284,461,465,466,532,556,583,662,809,824,1052,1059,1154,
1407,1535,1722],[1,3,5,9,11,12,20,24,25,47,52,53,56,58,65,66,114,196,210,236,
242,244,245,246,247,285,471,476,478,533,585,591,665,842,859,1052,1062,1203,
1409,1536,1723],[1,3,4,9,11,12,20,22,23,47,51,53,55,58,67,68,73,113,196,209,
210,211,228,242,244,245,248,249,285,474,476,477,526,584,592,665,666,667,847,
859,1052,1063,1204,1408,1536,1724],[1,3,5,9,11,12,20,24,25,47,52,53,56,58,69,
72,114,196,210,236,242,244,245,250,251,285,475,476,479,533,585,593,598,665,
849,859,1052,1064,1205,1409,1536,1725],[1,3,4,9,11,21,22,47,51,53,55,58,67,68,
118,197,209,210,211,224,228,231,248,284,285,470,480,481,526,532,560,662,663,
664,665,666,667,827,833,910,919,1057,1058,1059,1063,1165,1258,1259,1260,1418,
1537,1538,1726],[1,3,4,9,11,22,27,30,47,51,53,55,58,67,68,130,197,209,210,211,
228,248,284,285,470,480,481,526,529,531,662,663,664,665,666,667,833,851,853,
912,919,1058,1063,1184,1258,1259,1260,1538,1540,1541,1727],[1,3,4,9,11,22,25,
47,51,53,55,58,67,68,132,197,209,210,211,228,247,248,251,284,285,470,480,481,
526,533,610,662,663,664,665,666,667,833,838,914,919,1058,1062,1063,1064,1187,
1258,1259,1260,1425,1538,1539,1728],[1,2,3,4,5,6,11,14,15,16,17,18,20,21,22,
23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,58,65,67,68,69,70,71,
81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,100,101,102,103,104,105,106,107,
108,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,
129,130,131,132,133,134,135,136,137,140,141,142,143,144,145,146,147,148,149,
150,151,152,153,154,155,156,157,158,165,166,167,172,173,174,244,246,247,248,
249,250,251,252,253,254,255,256,257,258,259,260,270,271,272,274,275,276,286,
287,288,289,290,291,292,293,294,295,296,297,298,300,301,302,303,304,305,306,
307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,338,339,340,
341,342,343,344,346,347,348,349,350,358,359,360,361,362,363,364,365,366,367,
368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,
387,388,389,390,391,392,393,394,395,400,401,402,403,405,406,407,408,409,410,
411,412,413,414,415,416,417,418,419,420,421,422,423,433,434,435,444,576,591,
592,593,594,595,596,597,601,602,603,604,605,606,607,608,610,611,612,613,614,
615,616,617,618,619,620,621,622,623,624,625,626,627,628,629,630,631,632,633,
634,635,668,669,670,671,672,673,674,675,676,677,678,679,680,681,682,683,684,
687,688,689,690,691,692,693,694,695,696,701,702,703,704,705,706,707,708,709,
710,711,712,713,714,715,716,717,718,719,720,727,728,729,730,731,732,733,734,
735,736,743,744,747,748,749,750,751,752,753,754,755,756,757,758,761,762,763,
764,765,766,767,768,769,770,771,774,775,776,789,790,935,937,938,939,940,970,
972,973,974,975,976,977,978,980,981,982,983,984,985,986,987,988,989,990,991,
993,994,995,996,997,998,999,1001,1002,1003,1004,1065,1066,1068,1069,1070,1071,
1072,1073,1074,1075,1076,1077,1078,1088,1089,1090,1100,1105,1106,1262,1264,
1265,1266,1267,1268,1269,1277,1279,1280,1281,1282,1283,1321,1322,1323,1324,
1325,1328,1329,1330,1331,1332,1333,1334,1335,1336,1337,1338,1339,1340,1341,
1342,1343,1344,1345,1426,1542,1543,1544,1548,1549,1550,1551,1559,1560,1562,
1563,1579,1580,1581,1582,1729],[1,2,3,4,5,6,9,14,15,16,17,18,20,21,22,23,24,
25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,50,51,52,53,54,55,56,81,82,
83,84,85,86,87,88,89,90,91,92,93,94,95,100,101,102,103,104,105,106,107,108,
111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,
130,131,132,133,134,135,136,137,140,141,142,143,144,145,146,147,148,149,150,
151,152,153,154,155,156,157,158,165,166,167,172,173,174,218,219,220,221,222,
223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,242,286,287,
288,289,290,291,292,293,294,295,296,297,298,300,301,302,303,304,305,306,307,
308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,338,339,340,341,
342,343,344,346,347,348,349,350,358,359,360,361,362,363,364,365,366,367,368,
369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,
388,389,390,391,392,393,394,395,400,401,402,403,405,406,407,408,409,410,411,
412,413,414,415,416,417,418,419,420,421,422,423,433,434,435,444,541,542,543,
544,545,546,547,548,549,550,551,552,553,554,555,556,557,558,559,560,561,562,
563,564,565,566,567,568,569,570,571,572,573,574,575,579,583,584,585,586,587,
588,668,669,670,671,672,673,674,675,676,677,678,679,680,681,682,683,684,687,
688,689,690,691,692,693,694,695,696,701,702,703,704,705,706,707,708,709,710,
711,712,713,714,715,716,717,718,719,720,727,728,729,730,731,732,733,734,735,
736,743,744,747,748,749,750,751,752,753,754,755,756,757,758,761,762,763,764,
765,766,767,768,769,770,771,774,775,776,789,790,920,921,922,923,924,925,926,
927,928,929,930,931,932,933,934,936,945,946,947,948,953,954,955,956,957,958,
959,960,961,962,963,964,965,966,967,968,1065,1066,1068,1069,1070,1071,1072,
1073,1074,1075,1076,1077,1078,1088,1089,1090,1100,1105,1106,1261,1263,1271,
1272,1273,1274,1275,1276,1285,1286,1287,1288,1289,1290,1293,1294,1295,1296,
1297,1298,1299,1300,1301,1302,1303,1304,1305,1306,1307,1308,1309,1310,1311,
1312,1313,1314,1426,1545,1546,1547,1555,1556,1557,1558,1564,1565,1566,1567,
1571,1572,1573,1574,1730],[1,2,3,4,5,6,7,8,13,14,15,16,17,18,19,22,23,24,25,
26,29,30,31,32,33,34,37,38,39,40,41,42,43,44,45,46,74,75,76,77,78,79,80,82,84,
85,86,88,90,91,92,93,94,95,96,97,98,99,104,105,106,107,109,110,111,112,125,
126,127,131,132,133,136,137,138,139,140,141,143,146,147,151,152,155,156,157,
158,159,160,161,162,163,164,166,167,168,169,170,171,175,176,177,178,179,180,
181,182,183,184,185,186,187,188,189,190,191,192,262,269,277,278,279,280,281,
282,283,291,292,295,296,298,299,306,308,309,311,314,316,317,320,321,322,323,
324,325,326,327,328,329,330,331,332,333,334,335,336,337,345,346,347,348,349,
351,352,353,354,355,356,391,393,396,397,400,402,404,405,409,410,422,423,424,
425,426,427,428,429,430,433,436,437,438,439,440,441,443,445,446,447,448,449,
450,451,578,609,638,639,649,650,651,652,653,654,655,681,683,685,687,690,696,
697,698,699,710,712,717,719,721,722,723,724,725,726,737,738,774,777,778,783,
784,789,791,792,793,794,801,802,803,804,942,943,944,992,1000,1010,1011,1012,
1013,1076,1079,1082,1084,1087,1091,1093,1095,1115,1116,1123,1270,1284,1346,
1347,1348,1349,1350,1351,1431,1552,1553,1554,1583,1584,1585,1586,1731],[1,2,3,
4,5,6,7,8,10,14,15,16,17,18,19,20,21,22,23,28,29,30,31,32,33,34,37,38,39,40,
41,42,43,44,45,46,57,59,60,61,62,63,64,81,82,83,88,89,90,91,92,93,94,95,96,97,
98,99,100,103,104,106,109,110,111,112,113,116,117,118,122,123,124,125,126,133,
134,135,136,137,138,139,144,145,146,157,158,159,160,161,162,163,164,166,167,
168,169,170,171,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,
190,191,192,239,240,241,243,263,264,265,266,267,286,289,290,291,296,297,298,
299,303,304,321,322,323,324,325,326,327,328,329,330,331,332,334,335,336,337,
338,344,345,346,347,351,352,353,354,355,356,358,359,366,367,368,371,378,379,
380,393,394,395,396,397,398,399,402,403,404,424,425,428,429,430,436,437,438,
439,440,441,442,443,445,446,447,448,449,450,451,580,581,582,589,590,640,641,
642,643,644,645,668,673,674,683,684,685,686,697,699,723,724,725,726,727,730,
736,737,738,739,744,745,746,749,758,759,760,777,778,779,780,785,786,787,788,
791,949,950,951,952,969,1005,1006,1007,1008,1066,1067,1079,1080,1083,1096,
1099,1101,1102,1107,1108,1291,1292,1315,1316,1317,1318,1319,1320,1427,1568,
1569,1570,1575,1576,1577,1578,1732],[1,3,4,7,8,22,34,42,43,44,45,47,48,49,126,
138,139,168,169,170,171,209,210,211,212,213,214,215,216,217,404,526,534,535,
536,537,538,539,540,656,909,917,918,1014,1015,1016,1017,1352,1353,1354,1355,
1356,1357,1358,1587,1588,1589,1590,1591,1592,1593,1733],[1,2,3,5,9,11,12,13,
14,16,20,21,26,27,28,50,51,52,54,56,58,65,66,67,69,72,81,86,87,100,102,115,
121,196,197,199,205,206,218,219,223,224,225,226,227,229,231,232,234,244,252,
253,260,261,262,270,288,462,470,471,472,473,474,475,478,479,487,511,541,542,
543,548,549,554,556,557,559,565,567,573,575,576,577,594,632,633,636,659,807,
811,825,827,828,829,830,831,832,841,848,861,862,920,932,938,1032,1033,1034,
1124,1125,1126,1127,1128,1137,1139,1157,1164,1167,1168,1170,1172,1178,1217,
1378,1379,1441,1444,1484,1594,1610,1611,1734],[1,2,3,4,5,9,11,12,13,14,15,16,
17,22,24,26,29,50,51,52,53,54,55,56,58,65,66,67,68,82,84,86,88,127,196,197,
199,205,206,218,219,220,221,222,225,228,229,232,233,236,237,246,248,252,254,
260,261,262,292,462,470,471,472,473,476,478,480,481,511,542,544,546,550,551,
564,565,576,577,601,616,659,807,811,812,813,814,828,829,830,833,835,842,844,
861,862,923,935,1032,1036,1125,1126,1127,1129,1131,1140,1169,1170,1173,1214,
1378,1380,1445,1447,1594,1612,1735],[1,2,3,4,5,9,11,12,13,14,16,17,21,23,26,
28,30,36,50,51,52,54,55,56,58,65,66,68,69,72,73,75,83,86,89,101,103,121,141,
196,197,199,205,206,218,219,222,224,225,226,229,230,231,232,234,235,237,238,
249,252,255,260,261,262,271,273,301,462,470,471,472,473,475,477,478,479,481,
486,487,515,519,542,545,547,552,553,559,561,562,565,566,567,569,570,576,577,
620,633,634,636,637,638,659,807,811,814,827,828,829,830,831,834,836,843,845,
846,850,861,862,924,934,939,941,1032,1034,1037,1125,1126,1127,1130,1132,1141,
1142,1164,1168,1170,1171,1172,1174,1177,1178,1218,1221,1378,1381,1446,1448,
1449,1486,1594,1611,1613,1736],[1,2,3,4,5,9,10,11,12,14,15,22,24,27,28,30,36,
50,51,52,53,54,55,56,57,58,59,60,65,66,67,68,69,72,73,82,87,89,129,130,195,
196,197,198,200,218,220,221,226,227,228,229,234,235,236,238,239,246,248,250,
270,271,273,294,461,462,463,464,465,466,467,470,471,474,475,476,477,478,479,
480,481,482,484,485,490,491,492,543,544,547,568,569,572,573,602,657,807,808,
809,810,812,813,815,816,818,833,837,841,842,843,847,848,849,850,851,852,853,
855,869,925,1018,1019,1021,1022,1023,1024,1025,1129,1133,1143,1144,1184,1185,
1198,1359,1360,1361,1362,1366,1367,1368,1369,1370,1371,1372,1452,1595,1596,
1597,1599,1600,1602,1603,1737],[1,2,3,5,9,10,11,12,14,16,20,21,26,27,28,50,51,
52,53,54,56,57,58,59,81,86,87,100,102,115,121,195,196,197,198,200,218,219,220,
223,224,225,226,227,229,231,232,234,242,243,244,245,252,253,288,461,462,463,
464,465,466,470,472,476,484,541,542,543,548,549,554,556,557,559,565,567,573,
575,579,580,583,586,589,594,657,807,808,809,811,824,825,826,827,829,831,832,
859,860,920,932,945,1018,1019,1021,1124,1126,1128,1136,1137,1138,1139,1151,
1152,1154,1155,1157,1162,1164,1206,1359,1377,1441,1457,1470,1598,1604,1605,
1738],[1,2,3,4,5,9,10,11,12,14,16,17,20,22,23,24,28,36,50,51,52,53,54,55,56,
57,58,67,68,84,100,101,113,129,195,196,197,198,200,219,220,222,223,226,228,
229,230,232,234,236,237,238,242,243,244,245,248,249,305,461,462,463,465,466,
470,472,474,480,481,548,550,552,555,557,568,570,579,580,584,592,657,809,811,
812,814,824,825,826,831,833,834,844,845,859,860,927,936,1018,1022,1136,1137,
1138,1140,1141,1153,1155,1158,1179,1204,1360,1377,1458,1460,1598,1606,1739],[
1,2,3,4,5,9,10,11,12,14,15,16,17,20,21,28,29,30,50,51,52,54,55,56,57,58,59,60,
68,73,81,88,89,100,103,116,122,195,196,197,198,200,218,219,221,222,223,224,
226,229,231,232,233,234,235,237,239,242,243,244,245,254,255,289,461,462,463,
464,466,467,470,472,477,481,484,485,491,541,546,547,548,551,553,556,557,558,
562,563,569,571,579,580,583,587,589,590,595,599,657,807,810,811,813,814,815,
816,824,825,826,827,831,835,836,859,860,922,928,946,949,1018,1019,1024,1124,
1131,1132,1136,1137,1138,1142,1151,1154,1155,1156,1159,1162,1163,1166,1207,
1211,1361,1377,1443,1459,1461,1468,1598,1604,1607,1740],[1,2,3,4,9,10,11,12,
14,15,20,21,22,23,50,51,53,54,55,58,59,67,68,81,82,83,113,118,195,196,197,198,
200,218,220,221,223,224,228,229,230,231,242,243,244,245,248,249,286,461,462,
464,465,470,474,480,481,484,541,544,545,555,556,560,561,583,584,589,592,657,
807,808,812,813,824,825,826,827,833,834,859,860,921,953,1019,1022,1124,1129,
1130,1151,1153,1154,1158,1162,1165,1204,1362,1377,1442,1467,1604,1606,1741],[
1,3,4,9,10,11,12,20,22,23,26,27,29,30,51,53,55,58,60,67,68,73,113,115,116,127,
130,141,142,195,196,197,198,200,223,225,227,228,230,233,235,242,243,244,245,
248,249,252,253,254,255,363,465,467,470,474,476,477,480,481,485,491,554,555,
558,564,566,572,574,584,586,587,590,592,594,595,599,616,617,620,621,657,818,
824,825,826,829,832,833,834,835,836,847,859,860,931,961,975,1021,1022,1024,
1152,1153,1156,1157,1158,1159,1163,1173,1174,1180,1181,1204,1206,1207,1211,
1366,1377,1469,1471,1506,1605,1606,1607,1742],[1,3,5,6,9,10,11,12,20,24,25,26,
27,31,32,51,52,53,56,58,65,66,69,70,71,72,114,115,117,147,148,152,153,195,196,
197,198,200,223,225,227,236,242,243,244,245,246,247,250,251,252,253,256,257,
258,259,369,465,470,471,475,476,478,479,482,483,490,492,554,585,586,588,591,
593,594,596,597,598,600,604,605,612,613,624,625,628,629,657,824,825,826,829,
832,837,838,839,840,842,849,859,860,967,973,977,1021,1023,1025,1152,1157,1160,
1161,1175,1176,1182,1183,1203,1205,1206,1208,1209,1210,1212,1367,1377,1472,
1504,1508,1605,1608,1609,1743],[1,3,4,9,10,11,12,20,22,23,27,30,51,53,55,58,
67,68,113,130,131,195,196,197,198,200,223,227,228,230,242,243,244,245,248,249,
362,465,470,474,480,481,555,584,592,657,824,825,826,833,834,851,853,859,860,
960,1022,1153,1158,1184,1186,1204,1369,1377,1473,1606,1744],[1,3,4,5,9,10,11,
12,20,22,23,24,25,28,36,51,52,53,55,58,65,67,68,69,72,113,114,129,132,140,195,
196,197,198,200,223,226,228,230,242,243,244,245,246,247,248,249,250,251,270,
271,361,465,470,471,474,475,480,481,482,490,555,584,585,591,592,593,598,602,
603,610,611,657,824,825,826,833,834,837,838,841,852,855,859,860,959,972,1022,
1023,1153,1158,1160,1185,1187,1192,1203,1204,1205,1210,1368,1377,1474,1503,
1606,1608,1745],[1,3,4,5,6,9,10,11,12,20,22,23,28,31,32,39,40,51,53,55,56,58,
65,66,67,68,69,70,71,113,117,134,136,146,195,196,197,198,200,223,228,230,234,
242,243,244,245,248,249,256,257,258,259,270,272,274,275,276,367,465,470,474,
478,479,480,481,482,483,492,555,584,588,592,596,597,600,618,619,622,623,657,
824,825,826,833,834,839,840,848,852,854,856,857,859,860,965,976,1022,1025,
1153,1158,1161,1188,1190,1193,1204,1208,1209,1212,1370,1377,1475,1507,1606,
1609,1746],[1,3,4,9,10,11,12,20,22,23,30,41,51,53,55,58,67,68,113,135,137,195,
196,197,198,200,223,228,230,235,242,243,244,245,248,249,368,465,470,474,480,
481,555,584,592,657,824,825,826,833,834,853,858,859,860,966,1022,1153,1158,
1189,1191,1204,1371,1377,1476,1606,1747],[1,3,4,5,6,9,10,11,12,20,24,25,29,30,
31,32,36,39,51,52,55,56,58,60,65,66,68,69,70,71,72,73,114,116,117,150,151,155,
156,195,196,197,198,200,223,233,235,238,242,243,244,245,246,247,250,251,254,
255,256,257,258,259,271,272,273,275,370,467,470,471,475,477,478,479,481,482,
483,485,490,491,492,558,585,587,588,590,591,593,595,596,597,598,599,600,606,
607,614,615,626,627,630,631,657,824,825,826,835,836,837,838,839,840,843,850,
855,856,859,860,869,968,974,978,979,1023,1024,1025,1156,1159,1160,1161,1163,
1194,1195,1196,1197,1203,1205,1207,1208,1209,1210,1211,1212,1372,1377,1477,
1505,1509,1510,1607,1608,1609,1748],[1,3,4,9,11,12,13,20,22,23,26,27,29,30,51,
53,55,58,67,68,73,75,113,115,116,127,130,141,142,196,197,199,205,206,223,225,
227,228,230,233,235,244,248,249,252,253,254,255,260,261,262,363,470,474,476,
477,480,481,486,511,515,519,554,555,558,564,566,572,574,592,594,595,601,616,
617,620,621,632,634,637,638,659,825,828,829,830,832,833,834,835,836,847,861,
862,889,931,975,981,1033,1036,1037,1157,1158,1159,1167,1169,1171,1173,1174,
1177,1180,1181,1214,1217,1218,1221,1378,1382,1471,1483,1515,1610,1612,1613,
1749],[1,3,5,6,9,11,12,13,20,24,25,26,27,31,32,51,58,65,67,69,70,71,74,80,114,
115,117,147,148,152,153,196,197,199,205,206,223,225,227,244,246,247,250,251,
252,253,256,257,258,259,260,261,262,274,369,470,474,482,483,511,512,513,514,
518,520,554,591,593,594,596,597,604,605,608,609,612,613,624,625,628,629,632,
635,639,659,825,828,829,830,832,837,838,839,840,861,862,888,890,973,977,997,
1033,1038,1039,1157,1160,1161,1167,1175,1176,1182,1183,1213,1215,1216,1217,
1219,1220,1222,1378,1383,1472,1513,1517,1610,1614,1615,1750],[1,3,4,5,9,11,12,
13,21,22,24,26,28,29,36,51,52,53,55,56,58,67,68,69,72,118,121,122,127,129,196,
197,199,205,206,224,225,226,228,231,233,234,236,238,248,250,252,254,260,261,
262,375,470,472,475,476,479,480,481,487,511,559,560,563,564,567,568,571,601,
616,633,636,659,827,828,829,830,831,833,835,844,845,849,861,862,933,982,1034,
1036,1164,1165,1166,1168,1169,1172,1173,1178,1179,1214,1378,1384,1478,1485,
1611,1612,1751],[1,3,4,9,11,12,13,22,26,27,29,30,51,53,55,58,67,68,127,130,
135,196,197,199,205,206,225,228,233,248,252,253,254,260,261,262,406,470,476,
480,481,511,564,601,616,659,828,829,830,833,835,851,853,861,862,986,1036,1169,
1173,1184,1189,1214,1378,1386,1487,1612,1752],[1,3,4,5,6,9,11,12,13,22,24,26,
28,29,31,32,36,39,51,53,55,58,65,67,68,69,70,71,74,127,129,134,147,150,196,
197,199,205,206,225,228,233,246,248,250,252,254,256,257,258,260,261,262,270,
271,272,274,275,407,470,476,480,481,482,483,511,512,513,514,564,601,602,604,
606,608,609,616,618,624,626,659,828,829,830,833,835,837,839,852,854,855,856,
861,862,888,987,993,1036,1038,1169,1173,1175,1185,1188,1194,1213,1214,1215,
1216,1378,1388,1488,1512,1612,1614,1753],[1,3,4,9,11,12,13,22,26,29,30,41,51,
53,55,58,67,68,127,131,137,196,197,199,205,206,225,228,233,248,252,254,255,
260,261,262,409,470,476,480,481,511,564,601,616,659,828,829,830,833,835,853,
858,861,862,989,1036,1169,1173,1186,1191,1214,1378,1387,1489,1612,1754],[1,3,
4,6,9,11,12,13,22,25,26,29,32,40,51,53,55,58,67,68,70,71,80,127,132,136,152,
155,196,197,199,205,206,225,228,233,247,248,251,252,254,257,259,260,261,262,
274,276,410,470,476,480,481,483,511,513,518,520,564,601,610,612,614,616,619,
628,630,635,639,659,828,829,830,833,835,838,840,854,857,861,862,890,991,1001,
1036,1039,1169,1173,1176,1187,1190,1195,1214,1219,1220,1222,1378,1389,1490,
1516,1612,1615,1755],[1,3,4,5,6,9,11,12,13,23,24,25,26,30,31,32,39,40,51,55,
58,65,68,69,70,71,73,74,75,80,140,141,146,147,151,152,156,196,197,199,205,206,
225,230,235,246,247,249,250,251,252,255,256,257,258,259,260,261,262,272,275,
276,278,433,470,477,481,482,483,486,512,513,514,515,518,519,520,566,603,604,
607,608,609,611,612,615,620,622,623,624,627,628,631,634,635,637,638,639,659,
828,829,830,834,836,837,838,839,840,856,857,861,862,891,893,894,995,999,1000,
1003,1037,1038,1039,1171,1174,1175,1176,1177,1192,1193,1196,1197,1213,1215,
1216,1218,1219,1220,1221,1222,1378,1390,1491,1514,1518,1519,1613,1614,1615,
1756],[1,3,4,5,6,9,11,12,13,22,24,27,28,30,32,36,40,51,52,53,55,56,58,65,66,
67,68,69,70,71,72,73,74,75,80,129,130,136,148,151,196,197,199,205,206,226,228,
234,236,238,246,248,250,253,255,257,259,270,271,273,274,276,278,415,470,471,
472,473,474,475,476,477,478,479,480,481,483,486,487,511,512,513,514,515,518,
519,520,568,602,605,607,617,619,625,627,659,831,833,840,841,842,843,844,845,
846,847,848,849,850,851,853,854,857,888,889,890,891,893,894,994,1032,1033,
1034,1036,1037,1038,1039,1179,1184,1190,1198,1199,1201,1237,1379,1380,1381,
1382,1383,1384,1386,1387,1388,1389,1390,1492,1616,1617,1618,1619,1620,1621,
1622,1757],[1,3,4,5,11,20,21,22,23,24,25,26,28,29,34,35,36,47,58,65,67,68,69,
113,114,118,121,122,126,127,128,129,132,140,165,209,210,211,244,246,247,248,
249,250,251,260,270,271,359,360,361,375,376,400,401,525,526,527,532,534,591,
592,593,601,602,603,610,611,633,747,906,909,910,970,972,982,984,1051,1250,
1322,1404,1405,1626,1627,1628,1758],[1,3,4,11,20,22,23,26,27,29,30,35,37,47,
58,67,68,113,115,116,127,128,130,133,135,141,142,144,209,210,211,244,248,249,
252,253,254,255,260,360,363,366,405,406,408,411,525,526,527,528,529,530,531,
592,594,595,601,616,617,620,621,750,906,907,908,911,912,915,916,970,975,985,
986,1051,1251,1323,1404,1626,1629,1630,1759],[1,3,4,5,6,11,20,21,22,23,25,26,
28,29,31,32,35,39,40,47,58,65,67,68,69,70,71,113,117,119,121,123,127,128,132,
134,136,146,152,154,155,209,210,211,244,248,249,256,257,258,259,260,270,272,
274,275,276,360,365,367,383,385,410,414,525,526,527,532,533,592,596,597,601,
618,619,622,623,633,635,752,906,913,914,970,976,990,991,1051,1252,1325,1404,
1405,1406,1626,1631,1632,1760],[1,3,4,5,6,11,21,22,24,25,26,28,29,31,32,36,37,
39,47,58,65,67,68,69,70,71,118,119,121,122,123,127,129,133,134,147,150,152,
154,209,210,211,246,248,250,252,254,256,258,260,270,271,272,274,275,372,375,
378,383,384,405,407,526,528,530,532,533,601,602,604,606,616,618,624,626,633,
635,761,910,911,913,982,985,990,993,1051,1255,1337,1404,1405,1406,1627,1629,
1631,1761],[1,3,4,5,6,11,21,22,24,25,26,27,28,29,30,32,36,40,47,58,65,67,68,
69,70,71,118,121,122,127,129,130,132,135,136,148,151,152,155,209,210,211,246,
248,250,253,255,257,259,260,270,271,274,276,374,375,380,406,410,415,418,526,
529,531,532,533,601,602,605,607,617,619,625,627,633,635,766,910,912,914,982,
986,991,994,1051,1256,1338,1404,1405,1406,1627,1630,1632,1762],[1,3,4,6,11,22,
25,26,29,32,34,37,40,47,58,67,68,70,71,126,127,132,133,136,152,155,166,209,
210,211,247,248,251,252,254,257,259,260,274,276,400,402,405,410,423,526,528,
530,533,534,601,610,612,614,616,619,628,630,635,789,909,911,914,984,985,991,
1001,1051,1253,1343,1404,1406,1628,1629,1632,1763],[1,3,4,5,6,11,21,22,25,26,
27,28,29,30,31,32,34,39,47,58,65,67,68,69,70,71,119,121,123,126,127,130,132,
134,135,152,153,154,156,209,210,211,247,248,251,253,255,256,258,260,270,272,
274,275,382,383,388,400,403,406,421,526,529,531,532,533,534,601,610,613,615,
617,618,629,631,633,635,770,909,912,913,984,986,990,1002,1051,1254,1344,1404,
1405,1406,1628,1630,1631,1764],[1,2,3,4,9,14,15,20,21,22,23,33,34,47,50,51,53,
54,55,81,82,83,92,113,118,125,126,209,210,211,218,220,221,223,224,228,229,230,
231,242,286,291,358,359,371,525,526,527,532,534,541,544,545,555,556,560,561,
583,584,668,906,909,910,921,953,956,957,1052,1250,1293,1407,1408,1633,1635,
1636,1765],[1,2,3,4,5,9,14,15,16,17,20,21,22,23,24,25,26,29,35,47,50,51,52,53,
54,55,56,81,82,83,84,85,86,88,113,114,118,119,120,127,128,209,210,211,218,219,
220,221,222,225,228,229,232,233,236,237,242,286,287,292,293,300,360,372,526,
528,530,532,533,542,544,546,550,551,564,565,583,584,585,669,910,911,913,923,
953,954,958,1052,1255,1294,1407,1408,1409,1633,1634,1637,1766],[1,2,3,4,5,9,
14,15,20,21,22,23,24,25,27,28,30,36,47,50,51,52,53,54,55,56,81,82,83,87,89,
113,114,118,129,130,131,132,140,209,210,211,218,220,221,226,227,228,229,234,
235,236,238,242,286,294,295,361,362,373,374,526,529,531,532,533,543,544,547,
568,569,572,573,583,584,585,670,910,912,914,925,953,959,960,1052,1256,1295,
1407,1408,1409,1633,1638,1639,1767],[1,2,3,4,5,9,14,16,17,20,21,22,23,24,25,
28,33,36,47,50,51,52,53,54,55,56,81,84,85,100,101,113,114,119,120,125,129,132,
140,209,210,211,219,220,222,223,226,228,230,232,234,236,237,238,242,287,305,
306,358,361,365,381,525,526,527,532,533,548,550,552,555,557,568,570,583,584,
585,675,906,913,914,927,954,956,959,1052,1252,1298,1407,1408,1409,1634,1635,
1639,1768],[1,2,3,4,5,9,14,16,17,20,21,22,23,24,25,27,30,34,47,50,51,52,53,54,
55,56,81,84,85,102,103,113,114,118,119,120,126,130,131,209,210,211,219,220,
222,224,227,228,231,232,235,236,237,242,287,307,308,359,362,377,382,526,529,
531,532,533,534,549,550,553,560,562,572,575,583,584,585,676,909,912,913,929,
954,957,960,1052,1254,1299,1407,1408,1409,1634,1636,1638,1769],[1,3,4,9,20,22,
23,26,27,29,30,33,35,47,51,53,55,113,115,116,125,127,128,130,131,141,142,143,
209,210,211,223,225,227,228,230,233,235,242,358,360,362,363,364,391,392,525,
526,527,528,529,530,531,554,555,558,564,566,572,574,584,743,906,907,908,911,
912,915,916,931,956,958,960,1052,1251,1302,1408,1635,1637,1638,1770],[1,3,4,5,
9,20,21,22,23,24,25,26,28,29,34,35,36,47,51,52,53,55,56,113,114,118,121,122,
126,127,128,129,132,140,165,209,210,211,224,225,226,228,231,233,234,236,238,
242,359,360,361,375,376,400,401,526,528,530,533,534,559,560,563,564,567,568,
571,584,585,747,909,911,914,933,957,958,959,1052,1253,1305,1408,1409,1636,
1637,1639,1771],[1,3,4,9,20,21,22,23,25,26,27,29,30,34,47,51,53,55,113,115,
116,118,119,126,127,130,132,141,142,209,210,211,224,228,231,242,284,359,363,
365,372,374,382,400,525,526,527,528,529,530,531,532,533,534,560,584,586,587,
662,663,664,748,906,907,908,909,910,911,912,913,914,915,916,957,961,963,1057,
1058,1059,1060,1250,1251,1252,1253,1254,1255,1256,1306,1418,1419,1420,1421,
1525,1642,1643,1644,1772],[1,3,4,11,20,21,22,23,25,26,27,29,30,34,47,58,67,68,
113,115,116,118,119,126,127,130,132,141,142,209,210,211,247,248,251,260,285,
359,363,365,372,374,382,400,525,526,527,528,529,530,531,532,533,534,601,610,
632,634,665,666,667,748,906,907,908,909,910,911,912,913,914,915,916,980,981,
984,1061,1062,1063,1064,1250,1251,1252,1253,1254,1255,1256,1329,1422,1423,
1424,1425,1525,1645,1646,1647,1773],[1,3,9,11,12,13,26,47,51,58,67,196,197,
199,205,206,210,225,252,260,261,262,284,285,470,474,511,659,662,665,828,829,
830,861,862,919,1033,1051,1258,1378,1533,1534,1774],[1,3,9,10,11,12,20,47,51,
53,58,195,196,197,198,200,210,223,242,243,244,245,284,285,465,470,476,657,662,
665,824,825,826,859,860,919,1021,1052,1258,1377,1535,1536,1775],[1,2,3,4,5,6,
9,11,14,15,16,17,20,21,22,23,24,25,26,27,28,29,30,31,32,36,39,40,41,50,51,52,
53,54,55,56,58,65,67,68,69,70,71,81,82,83,84,86,87,88,89,91,95,100,101,102,
103,113,114,115,116,117,118,121,122,127,129,130,131,132,134,135,136,137,140,
141,142,146,147,148,149,150,151,152,153,155,156,174,197,218,219,220,221,222,
223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,244,246,247,
248,249,250,251,252,253,254,255,256,257,258,259,270,271,272,274,275,276,286,
288,289,292,294,295,297,298,301,302,305,307,310,312,314,316,361,362,363,367,
368,369,370,373,374,375,379,380,406,407,409,410,415,416,417,418,419,420,421,
433,434,462,470,472,480,481,482,483,541,542,543,544,545,546,547,548,549,550,
551,552,553,554,555,556,557,558,559,560,561,562,563,564,565,566,567,568,569,
570,571,572,573,574,575,591,592,593,594,595,596,597,602,603,604,605,606,607,
610,611,612,613,614,615,616,617,618,619,620,621,622,623,624,625,626,627,628,
629,630,631,670,671,674,688,690,694,695,708,709,715,716,753,755,764,766,807,
811,812,813,814,825,827,829,831,832,833,834,835,836,837,838,839,840,844,845,
851,852,853,854,855,856,857,858,920,921,922,923,924,925,926,927,928,929,930,
931,932,933,934,972,973,974,975,976,977,978,993,994,995,996,1001,1002,1003,
1004,1070,1124,1126,1128,1129,1130,1131,1132,1137,1139,1140,1141,1142,1143,
1144,1145,1146,1157,1158,1159,1160,1161,1164,1165,1166,1173,1174,1175,1176,
1179,1180,1181,1182,1183,1184,1185,1186,1187,1188,1189,1190,1191,1192,1193,
1194,1195,1196,1197,1199,1200,1201,1202,1261,1328,1441,1442,1443,1447,1448,
1450,1451,1452,1453,1454,1455,1460,1462,1463,1464,1465,1466,1471,1472,1473,
1474,1475,1476,1477,1478,1479,1480,1481,1482,1487,1488,1489,1490,1491,1492,
1493,1494,1495,1496,1497,1498,1499,1500,1649,1650,1651,1653,1654,1655,1656,
1658,1659,1660,1661,1662,1663,1664,1665,1776],[1,2,3,4,5,6,11,13,14,15,16,17,
18,20,21,22,23,24,25,26,27,28,29,30,31,32,35,36,37,38,39,58,65,67,68,69,70,71,
74,81,82,83,84,85,86,87,88,89,90,91,93,94,100,101,102,103,104,105,106,107,108,
113,114,115,116,117,118,119,120,121,122,123,124,127,128,129,130,133,134,135,
141,142,144,145,147,148,149,150,152,153,154,172,205,244,246,247,248,250,252,
253,254,256,257,258,260,262,269,270,271,272,274,275,286,287,288,289,290,292,
293,294,296,297,300,301,302,303,304,305,307,309,310,311,312,313,315,317,318,
319,338,339,340,341,342,343,344,360,363,366,369,372,375,378,383,384,389,405,
406,407,408,411,511,512,513,576,578,591,594,596,601,602,604,605,606,608,609,
612,613,616,618,624,626,632,633,634,635,669,671,673,677,678,687,688,689,691,
703,704,707,714,750,761,861,888,935,937,938,939,940,970,973,980,981,982,985,
986,987,988,990,992,993,997,998,1068,1213,1214,1215,1217,1219,1262,1264,1266,
1267,1268,1270,1277,1279,1280,1281,1323,1331,1334,1337,1511,1512,1513,1543,
1548,1666,1682,1683,1777],[1,2,3,4,5,6,11,13,14,15,16,17,18,22,23,24,25,26,29,
30,31,32,33,34,37,38,39,40,41,58,65,68,70,71,74,75,80,82,84,85,86,88,90,91,92,
93,94,95,104,105,106,107,111,112,125,126,127,131,132,133,136,137,140,141,143,
146,147,151,152,155,156,157,158,166,167,205,246,249,251,252,255,256,259,260,
262,269,272,276,278,291,292,295,296,298,306,308,309,311,314,316,317,320,321,
322,346,347,348,349,391,393,400,402,405,409,410,422,423,433,512,515,518,576,
578,601,603,604,607,608,609,620,622,628,631,634,635,638,639,651,652,681,683,
687,690,696,710,712,717,719,774,789,861,891,935,937,940,943,983,984,985,989,
991,992,995,999,1000,1076,1213,1218,1220,1265,1266,1269,1270,1282,1283,1340,
1343,1348,1349,1511,1514,1550,1553,1666,1684,1685,1778],[1,2,3,4,5,6,7,8,11,
13,14,15,16,17,18,19,22,24,26,29,31,37,38,42,43,44,45,46,58,65,70,74,76,77,78,
79,82,84,86,88,90,93,94,96,97,98,99,104,105,109,110,127,133,138,139,147,175,
176,177,178,179,180,181,182,205,246,252,256,260,262,269,277,279,292,296,299,
309,311,327,328,329,330,331,332,333,345,405,424,425,426,427,512,516,517,576,
578,601,604,608,609,649,650,653,654,687,697,698,721,722,793,794,861,892,935,
937,942,944,985,992,1084,1213,1266,1270,1346,1347,1350,1351,1511,1552,1554,
1666,1686,1687,1779],[1,2,3,4,5,6,9,11,12,14,15,16,17,18,20,21,22,23,24,25,26,
27,28,29,30,31,32,35,36,37,38,39,50,51,52,53,54,55,56,58,65,66,70,81,82,83,84,
85,86,87,88,89,90,91,93,94,100,101,102,103,104,105,106,107,108,113,114,115,
116,117,118,119,120,121,122,123,124,127,128,129,130,133,134,135,141,142,144,
145,147,148,149,150,152,153,154,172,196,218,219,220,221,222,225,228,229,232,
233,236,237,242,244,245,246,247,252,253,256,257,260,261,268,286,287,288,289,
290,292,293,294,296,297,300,301,302,303,304,305,307,309,310,311,312,313,315,
317,318,319,338,339,340,341,342,343,344,360,363,366,369,372,375,378,383,384,
389,405,406,407,408,411,471,476,478,542,544,546,550,551,564,565,576,577,579,
583,584,585,586,587,588,591,594,596,600,601,604,605,608,612,613,647,669,671,
673,677,678,687,688,689,691,703,704,707,714,750,761,828,842,859,923,935,936,
937,945,946,947,948,953,954,955,958,961,964,967,970,971,973,980,985,986,987,
1068,1125,1169,1170,1203,1206,1208,1262,1266,1267,1271,1273,1275,1277,1278,
1279,1285,1286,1294,1308,1323,1331,1445,1502,1504,1543,1555,1667,1669,1678,
1780],[1,2,3,4,5,6,9,11,12,14,16,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,
33,35,36,38,39,40,51,54,56,58,65,66,67,68,69,70,71,81,84,85,86,87,90,91,100,
101,102,104,105,106,107,108,111,113,114,115,116,117,119,120,121,123,124,125,
127,128,129,130,131,132,134,136,140,141,142,143,145,146,147,148,149,150,151,
152,153,154,155,156,158,172,196,223,225,227,229,231,232,234,242,244,245,248,
249,256,257,258,259,260,261,268,270,272,274,275,276,287,288,290,305,306,309,
310,313,314,317,318,320,338,339,340,342,343,346,348,349,358,360,361,362,363,
364,365,367,369,370,381,383,385,386,389,390,391,392,394,407,410,414,415,417,
421,433,434,435,474,478,479,554,556,557,565,567,573,575,576,577,579,584,588,
592,596,597,600,601,608,618,619,622,623,632,633,634,635,647,675,677,679,707,
708,710,711,727,728,729,731,743,752,753,768,828,848,859,932,936,937,938,940,
947,956,958,960,963,965,970,971,976,981,983,987,990,991,997,998,999,1072,1167,
1170,1172,1204,1208,1209,1263,1273,1274,1277,1278,1280,1282,1287,1288,1302,
1310,1321,1325,1336,1342,1484,1502,1507,1546,1559,1667,1676,1680,1781],[1,2,3,
4,5,6,9,11,12,14,16,17,18,20,21,22,23,24,25,26,28,29,30,31,32,34,35,36,38,39,
41,51,52,54,55,56,58,65,66,68,69,70,72,73,83,84,86,89,90,100,101,103,104,105,
106,107,108,112,113,114,116,117,118,120,121,122,124,126,127,128,129,131,132,
134,135,137,140,141,143,144,145,147,149,150,151,154,155,156,165,167,172,173,
174,196,224,225,226,229,230,232,235,237,238,242,244,245,250,251,254,255,256,
257,260,261,268,271,273,275,300,301,304,305,308,309,312,313,316,338,339,340,
341,344,347,348,349,350,359,360,361,364,368,370,373,375,376,379,389,400,401,
403,407,408,409,412,413,414,416,417,418,435,444,475,477,478,559,561,562,565,
566,569,570,576,577,579,584,585,587,588,593,595,596,598,599,600,601,608,626,
627,630,631,633,634,636,637,646,647,648,701,703,705,707,709,717,720,729,730,
732,733,747,751,764,790,828,850,859,934,936,937,939,941,947,948,957,958,959,
962,966,968,970,971,978,979,982,984,987,988,989,998,1009,1088,1168,1170,1171,
1205,1207,1208,1272,1273,1276,1277,1278,1281,1283,1289,1290,1305,1309,1322,
1324,1326,1327,1339,1345,1486,1502,1509,1557,1560,1561,1667,1677,1679,1782],[
1,2,3,4,5,6,9,10,14,16,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,35,36,
38,39,40,50,51,52,53,54,55,56,57,81,84,85,86,87,90,91,100,101,102,104,105,106,
107,108,111,113,114,115,116,117,119,120,121,123,124,125,127,128,129,130,131,
132,134,136,140,141,142,143,145,146,147,148,149,150,151,152,153,154,155,156,
158,172,195,219,220,222,223,225,226,227,228,229,230,231,232,234,236,237,238,
242,243,267,287,288,290,305,306,309,310,313,314,317,318,320,338,339,340,342,
343,346,348,349,358,360,361,362,363,364,365,367,369,370,381,383,385,386,389,
390,391,392,394,407,410,414,415,417,421,433,434,435,461,465,466,548,550,552,
554,555,556,557,565,567,568,570,573,575,579,580,582,583,584,585,586,587,588,
675,677,679,707,708,710,711,727,728,729,731,743,752,753,768,809,824,927,932,
936,945,947,948,954,955,956,958,959,960,961,962,963,965,967,968,969,1072,1136,
1152,1153,1154,1155,1263,1273,1274,1285,1287,1288,1289,1291,1298,1300,1302,
1303,1310,1311,1458,1470,1501,1546,1564,1668,1670,1672,1783],[1,2,3,4,5,6,9,
10,14,15,16,17,18,20,21,22,23,28,29,30,31,32,33,34,37,38,39,40,41,50,51,54,55,
56,57,59,60,81,82,83,88,89,90,91,92,93,94,95,100,103,104,106,111,112,113,116,
117,118,122,123,124,125,126,133,134,135,136,137,144,145,146,157,158,166,167,
195,218,221,222,223,224,232,233,234,235,239,242,243,267,286,289,290,291,296,
297,298,303,304,321,322,338,344,346,347,358,359,366,367,368,371,378,379,380,
393,394,395,402,403,464,466,467,541,546,547,557,558,562,563,579,580,582,583,
584,587,588,589,590,640,641,668,673,674,683,684,727,730,736,744,749,758,816,
824,922,946,947,949,951,953,955,956,957,964,965,966,969,1066,1151,1155,1156,
1286,1287,1290,1291,1293,1297,1304,1307,1315,1316,1468,1501,1566,1568,1668,
1671,1673,1784],[1,2,3,4,5,6,7,8,9,10,16,18,19,20,22,23,28,31,32,33,38,39,40,
42,43,44,45,46,51,54,56,57,61,62,63,64,100,104,106,109,110,111,113,117,125,
134,136,138,139,145,146,158,159,160,161,162,163,164,181,182,183,184,185,186,
195,223,232,234,240,241,242,243,267,338,345,346,351,353,355,358,367,394,396,
397,398,399,428,440,441,442,443,466,468,469,557,579,580,582,584,588,642,643,
644,645,727,737,739,745,746,785,786,819,824,947,950,952,956,965,969,1096,1155,
1287,1291,1317,1318,1319,1320,1501,1569,1570,1668,1674,1675,1785],[1,2,3,4,5,
9,11,12,14,15,16,17,20,21,22,23,24,25,26,27,28,29,30,33,34,35,36,50,51,52,58,
65,67,68,69,72,81,82,83,84,85,86,87,88,89,92,100,101,102,103,113,114,115,116,
118,119,120,121,122,125,126,127,128,129,130,131,132,140,141,142,143,165,196,
218,219,223,224,225,226,227,242,244,245,246,247,248,249,250,251,260,261,268,
270,271,286,287,288,289,291,292,293,294,295,300,301,302,305,306,307,308,358,
359,360,361,362,363,364,365,371,372,373,374,375,376,377,381,382,391,392,400,
401,471,474,475,541,542,543,548,549,554,559,576,583,584,585,591,592,593,598,
601,602,603,610,611,632,633,634,636,646,668,669,670,671,672,675,676,681,682,
701,702,743,747,748,757,828,841,859,920,935,938,939,953,954,956,957,958,959,
960,970,971,972,980,981,982,983,984,1065,1125,1167,1168,1203,1204,1205,1262,
1264,1265,1293,1294,1295,1298,1299,1302,1305,1321,1322,1326,1329,1330,1444,
1502,1503,1542,1571,1669,1676,1677,1786],[1,2,3,4,5,6,9,11,12,14,15,16,17,18,
20,21,22,23,24,25,26,28,29,30,31,32,35,36,39,40,41,50,51,52,55,56,58,65,68,69,
71,73,81,82,83,84,85,86,88,89,90,91,95,101,103,106,107,108,113,114,116,117,
118,119,120,121,123,124,127,128,131,132,134,135,136,137,141,143,144,146,150,
151,152,154,155,156,173,196,218,219,222,225,230,231,234,235,238,242,244,245,
246,247,254,255,258,259,260,261,268,271,272,286,287,290,292,293,295,297,298,
300,301,303,313,314,315,316,317,319,320,360,364,365,367,368,370,372,376,377,
379,380,383,385,386,387,388,390,408,409,410,412,413,414,471,477,479,542,545,
547,552,553,566,567,576,583,584,585,587,588,591,595,597,599,601,606,607,614,
615,633,634,635,637,648,669,672,674,679,680,689,690,692,693,705,706,751,752,
762,763,828,843,859,924,935,939,940,953,954,955,958,962,963,965,966,968,970,
971,974,980,988,989,990,991,1069,1125,1171,1172,1203,1207,1209,1262,1268,1269,
1294,1296,1297,1300,1301,1309,1310,1324,1325,1327,1332,1333,1446,1502,1505,
1544,1572,1669,1679,1680,1787],[1,2,3,4,5,9,10,14,15,16,17,20,21,22,23,24,25,
26,27,28,29,30,33,34,35,36,50,51,52,53,54,55,59,81,82,83,84,85,86,87,88,89,92,
100,101,102,103,113,114,115,116,118,119,120,121,122,125,126,127,128,129,130,
131,132,140,141,142,143,165,195,218,219,220,221,223,224,225,226,227,228,229,
230,231,242,243,267,286,287,288,289,291,292,293,294,295,300,301,302,305,306,
307,308,358,359,360,361,362,363,364,365,371,372,373,374,375,376,377,381,382,
391,392,400,401,461,464,465,541,542,543,544,545,548,549,554,555,556,559,560,
561,579,583,584,585,586,587,589,640,668,669,670,671,672,675,676,681,682,701,
702,743,747,748,757,808,824,920,921,936,945,946,953,954,956,957,958,959,960,
961,962,963,969,1065,1136,1151,1152,1153,1154,1263,1271,1272,1293,1294,1295,
1296,1298,1299,1302,1303,1305,1306,1315,1457,1467,1501,1545,1571,1670,1671,
1672,1788],[1,2,3,4,5,9,10,14,15,16,17,20,21,22,23,24,25,28,29,30,33,36,37,38,
41,50,51,52,54,55,60,81,84,85,88,89,94,100,101,103,105,107,113,114,116,119,
120,122,125,129,132,133,135,137,140,144,149,154,157,174,195,219,221,223,226,
229,231,233,235,237,242,243,267,287,289,305,306,311,312,315,316,319,339,341,
358,361,365,366,368,381,384,387,388,393,395,416,418,423,461,467,548,551,553,
556,558,569,571,579,583,584,585,587,590,641,675,678,680,709,712,713,744,754,
769,810,824,928,936,946,948,954,956,959,963,964,966,969,1073,1136,1154,1156,
1263,1275,1276,1298,1301,1304,1312,1316,1459,1501,1547,1670,1673,1789],[1,2,3,
4,7,8,9,10,14,15,19,20,21,22,23,33,34,42,43,44,45,50,51,59,61,62,63,64,81,82,
83,92,96,97,98,99,113,118,125,126,138,139,159,160,161,162,163,164,168,169,170,
171,195,218,223,224,242,243,263,264,267,286,291,299,323,324,325,326,358,359,
371,396,397,398,399,404,464,468,469,541,583,584,589,640,642,643,644,645,668,
685,686,745,746,759,760,817,824,953,956,957,969,1005,1006,1067,1151,1293,1315,
1317,1318,1319,1320,1501,1575,1576,1671,1674,1675,1790],[1,3,4,9,10,20,22,23,
26,27,29,30,33,35,37,41,51,53,55,60,113,115,116,125,127,128,130,131,133,135,
137,141,142,143,144,157,173,195,223,225,227,228,230,233,235,242,243,267,358,
360,362,363,364,366,368,391,392,393,395,405,406,408,409,411,412,413,419,420,
422,465,467,554,555,558,564,566,572,574,584,586,587,590,641,743,744,750,751,
755,756,774,775,776,818,824,931,956,958,960,961,962,964,966,969,1100,1152,
1153,1156,1302,1303,1304,1308,1309,1313,1314,1316,1469,1501,1573,1672,1673,
1791],[1,3,4,7,9,10,20,22,23,29,30,33,37,41,42,45,51,55,60,62,63,113,116,125,
133,135,137,138,144,157,159,161,163,175,178,179,187,190,192,195,223,233,235,
242,243,266,267,358,366,368,393,395,396,398,424,429,436,439,467,468,558,584,
587,590,641,642,645,744,745,777,779,787,820,824,956,964,966,969,1007,1101,
1156,1304,1316,1317,1320,1501,1577,1673,1674,1792],[1,3,4,8,9,10,20,22,23,29,
30,33,37,41,43,44,51,55,60,61,64,113,116,125,133,135,137,139,144,157,160,162,
164,176,177,180,188,189,191,195,223,233,235,242,243,265,267,358,366,368,393,
395,397,399,425,430,437,438,467,469,558,584,587,590,641,643,644,744,746,778,
780,788,821,824,956,964,966,969,1008,1102,1156,1304,1316,1318,1319,1501,1578,
1673,1675,1793],[1,3,4,9,10,20,22,23,29,30,33,37,41,45,51,55,60,113,116,125,
133,135,137,144,157,178,193,195,223,233,235,242,243,267,358,366,368,393,395,
426,432,467,558,584,587,590,641,744,782,783,823,824,956,964,966,969,1104,1156,
1304,1316,1501,1673,1794],[1,3,4,9,10,20,22,23,29,30,33,37,41,44,51,55,60,113,
116,125,133,135,137,144,157,177,194,195,223,233,235,242,243,267,358,366,368,
393,395,427,431,467,558,584,587,590,641,744,781,784,822,824,956,964,966,969,
1103,1156,1304,1316,1501,1673,1795],[1,3,4,9,11,12,20,22,23,26,27,29,30,33,35,
37,41,51,53,55,58,67,68,73,113,115,116,125,127,128,130,131,133,135,137,141,
142,143,144,157,173,196,223,225,227,228,230,233,235,242,244,245,248,249,252,
253,254,255,260,261,268,358,360,362,363,364,366,368,391,392,393,395,405,406,
408,409,411,412,413,419,420,422,474,476,477,554,555,558,564,566,572,574,584,
586,587,592,594,595,599,601,616,617,620,621,632,634,637,648,743,744,750,751,
755,756,774,775,776,828,847,859,931,956,958,960,961,962,964,966,970,971,975,
981,983,985,986,988,989,1100,1167,1169,1171,1204,1206,1207,1302,1303,1304,
1308,1309,1313,1314,1321,1323,1324,1327,1334,1335,1340,1341,1483,1502,1506,
1573,1579,1676,1678,1679,1796],[1,3,4,5,6,9,11,12,20,21,22,23,24,25,26,27,28,
29,30,31,32,34,35,36,37,39,40,51,52,53,55,56,58,69,71,72,113,114,115,116,117,
118,119,121,122,123,126,127,128,129,130,132,133,134,135,136,140,141,142,144,
146,147,148,150,151,152,153,154,155,156,165,166,196,224,225,226,228,231,233,
234,236,238,242,244,245,250,251,252,253,258,259,260,261,268,359,360,361,363,
365,366,367,369,370,372,374,375,376,378,380,382,383,384,385,388,400,401,402,
403,405,406,407,408,410,411,414,415,418,421,423,433,434,475,476,479,559,560,
563,564,567,568,571,584,585,586,587,588,593,594,597,598,601,624,625,628,629,
633,635,636,646,747,748,749,750,752,753,754,761,762,766,767,770,771,789,790,
828,849,859,933,957,958,959,961,963,964,965,967,968,970,971,977,982,984,985,
986,990,991,1105,1168,1169,1172,1205,1206,1209,1305,1306,1307,1308,1310,1311,
1312,1322,1323,1325,1326,1337,1338,1343,1344,1485,1502,1508,1574,1580,1677,
1678,1680,1797],[1,3,4,11,13,20,22,23,26,27,29,30,33,35,37,41,58,67,68,75,113,
115,116,125,127,128,130,131,133,135,137,141,142,143,144,157,173,205,244,248,
249,252,253,254,255,260,262,269,358,360,362,363,364,366,368,391,392,393,395,
405,406,408,409,411,412,413,419,420,422,511,515,592,594,595,601,616,617,620,
621,632,634,638,651,743,744,750,751,755,756,774,775,776,861,889,970,975,981,
983,985,986,988,989,992,1100,1214,1217,1218,1321,1323,1324,1334,1335,1340,
1341,1348,1511,1515,1579,1682,1684,1798],[1,3,4,5,6,11,13,20,21,22,23,24,25,
26,27,28,29,30,31,32,34,35,36,37,39,40,58,67,68,69,70,71,80,113,114,115,116,
117,118,119,121,122,123,126,127,128,129,130,132,133,134,135,136,140,141,142,
144,146,147,148,150,151,152,153,154,155,156,165,166,205,244,247,248,250,251,
252,253,254,257,258,259,260,262,269,274,276,359,360,361,363,365,366,367,369,
370,372,374,375,376,378,380,382,383,384,385,388,400,401,402,403,405,406,407,
408,410,411,414,415,418,421,423,433,434,511,513,518,593,594,597,601,608,610,
612,614,616,619,624,625,628,629,630,632,633,634,635,639,652,747,748,749,750,
752,753,754,761,762,766,767,770,771,789,790,861,890,970,977,980,981,982,984,
985,986,987,988,990,991,992,997,999,1001,1105,1214,1215,1217,1219,1220,1322,
1323,1325,1329,1331,1332,1334,1336,1337,1338,1343,1344,1345,1349,1511,1516,
1517,1580,1581,1682,1683,1685,1799],[1,3,4,5,6,11,13,21,22,23,24,25,26,28,29,
30,31,32,33,36,37,38,39,40,41,58,68,69,70,71,75,118,119,120,121,122,123,124,
125,127,129,131,133,134,137,140,141,143,145,146,147,149,150,151,152,154,156,
157,158,174,205,247,249,250,252,255,257,258,260,262,269,275,276,371,372,373,
375,377,378,379,381,383,384,386,387,389,390,391,393,394,405,407,409,416,417,
422,433,435,513,515,601,608,611,612,615,620,623,624,627,633,634,635,638,651,
757,758,761,763,764,765,768,769,774,861,893,980,982,983,985,987,989,990,992,
998,999,1003,1106,1215,1218,1219,1330,1331,1333,1337,1339,1340,1342,1348,1511,
1518,1582,1683,1684,1800],[1,3,4,7,11,13,22,23,26,29,30,33,37,41,42,45,58,68,
75,78,79,125,127,131,133,137,138,141,143,157,159,161,163,175,178,179,187,190,
192,205,249,252,255,260,262,269,281,391,393,396,405,409,422,424,426,429,436,
439,515,517,601,620,634,638,649,651,653,774,777,783,793,801,861,897,983,985,
989,992,1010,1115,1218,1340,1346,1348,1350,1511,1583,1684,1686,1801],[1,3,4,8,
11,13,22,23,26,29,30,33,37,41,43,44,58,68,75,76,77,125,127,131,133,137,139,
141,143,157,160,162,164,176,177,180,188,189,191,205,249,252,255,260,262,269,
280,391,393,397,405,409,422,425,427,430,437,438,515,516,601,620,634,638,650,
651,654,774,778,784,794,802,861,895,983,985,989,992,1012,1116,1218,1340,1347,
1348,1351,1511,1585,1684,1687,1802],[1,3,4,11,13,22,23,26,29,30,33,37,41,45,
58,68,75,125,127,131,133,137,141,143,157,161,193,205,249,252,255,260,262,269,
391,393,398,405,409,422,432,515,601,620,634,638,651,774,779,782,861,898,983,
985,989,992,1117,1218,1340,1348,1511,1684,1803],[1,3,4,11,13,22,23,26,29,30,
33,37,41,44,58,68,75,125,127,131,133,137,141,143,157,164,194,205,249,252,255,
260,262,269,391,393,399,405,409,422,431,515,601,620,634,638,651,774,780,781,
861,896,983,985,989,992,1118,1218,1340,1348,1511,1684,1804],[1,3,4,6,7,8,11,
13,22,25,26,29,32,34,37,40,42,43,44,45,46,58,71,76,77,78,79,80,126,127,132,
133,136,138,139,152,155,166,168,169,170,171,175,176,177,178,179,180,183,184,
185,186,205,251,252,259,260,262,269,282,283,400,402,404,405,410,423,424,425,
426,427,428,445,446,447,448,516,517,518,601,628,635,639,649,650,652,653,654,
789,791,792,793,794,803,804,861,899,984,985,991,992,1011,1013,1123,1220,1343,
1346,1347,1349,1350,1351,1511,1584,1586,1685,1686,1687,1805],[1,3,4,11,22,26,
29,47,48,49,58,67,68,127,209,210,211,212,215,248,260,285,526,528,530,601,656,
665,666,667,911,1014,1015,1051,1061,1063,1352,1404,1422,1689,1806],[1,3,4,9,
20,22,23,47,48,49,51,53,55,113,209,210,211,212,215,228,242,284,525,526,527,
584,656,662,663,664,906,1014,1015,1052,1058,1060,1352,1408,1419,1690,1807],[1,
2,3,5,9,10,11,12,13,14,27,28,50,51,52,53,54,56,57,58,59,65,66,67,69,72,87,195,
196,197,198,199,200,201,202,203,204,205,206,207,208,218,220,226,227,229,234,
253,270,461,462,463,464,465,466,470,471,472,473,474,475,476,478,479,480,482,
484,487,488,489,490,492,511,521,522,543,573,657,658,659,660,661,807,808,809,
812,831,832,841,848,851,852,1018,1019,1020,1021,1022,1023,1025,1026,1032,1033,
1034,1035,1036,1041,1128,1143,1257,1359,1360,1362,1368,1369,1370,1379,1386,
1526,1527,1528,1596,1599,1691,1694,1695,1808],[1,2,3,4,9,10,11,12,13,14,15,22,
50,51,53,54,55,57,58,59,60,67,68,73,75,82,195,196,197,198,199,200,201,202,203,
204,205,206,207,208,218,220,221,228,229,239,248,461,462,463,464,465,466,467,
470,474,476,477,480,481,484,485,486,488,489,491,493,496,502,507,511,515,519,
523,524,544,657,658,659,660,661,807,808,809,810,812,813,815,816,818,833,847,
863,867,889,1018,1019,1020,1021,1022,1024,1026,1027,1033,1036,1037,1040,1042,
1129,1133,1257,1359,1360,1361,1362,1363,1366,1382,1526,1527,1529,1595,1691,
1692,1696,1809],[1,2,3,5,9,10,11,12,13,14,28,30,50,51,52,53,54,56,57,58,59,65,
66,67,69,72,89,195,196,197,198,199,200,201,202,203,204,205,206,207,208,218,
220,226,229,234,235,255,270,461,462,463,464,465,466,470,471,472,473,474,475,
476,478,479,480,482,484,487,488,489,490,492,511,521,522,547,569,657,658,659,
660,661,807,808,809,812,831,836,841,848,852,853,1018,1019,1020,1021,1022,1023,
1025,1026,1032,1033,1034,1035,1036,1041,1132,1144,1257,1359,1360,1362,1368,
1370,1371,1379,1387,1526,1527,1528,1597,1600,1691,1694,1697,1810],[1,2,4,7,8,
9,10,11,12,13,15,19,42,43,50,54,55,57,59,60,61,62,63,64,68,73,75,76,77,78,79,
96,195,196,197,198,199,200,201,202,203,204,205,206,207,208,221,239,240,241,
263,264,265,266,280,281,461,462,463,464,466,467,468,469,477,481,484,485,486,
488,489,491,493,494,495,496,497,498,499,500,502,503,504,505,506,507,508,509,
515,516,517,519,523,524,581,657,658,659,660,661,810,813,815,816,817,819,820,
821,863,864,865,866,867,868,870,871,872,873,879,880,882,883,895,897,1018,1019,
1020,1024,1026,1027,1028,1029,1030,1031,1037,1040,1042,1043,1044,1045,1046,
1147,1223,1226,1257,1361,1363,1364,1365,1373,1374,1375,1376,1391,1392,1526,
1529,1530,1531,1601,1692,1693,1701,1702,1811],[1,2,4,9,10,11,12,13,15,44,45,
50,54,55,57,59,60,68,73,75,97,195,196,197,198,199,200,201,202,203,204,205,206,
207,208,221,239,461,462,463,464,466,467,477,481,484,485,486,488,489,491,493,
496,502,507,515,519,523,524,657,658,659,660,661,810,813,815,816,822,823,863,
867,874,884,896,898,902,904,1018,1019,1020,1024,1026,1027,1037,1040,1042,1148,
1257,1361,1363,1526,1529,1692,1703,1704,1812],[1,2,4,8,9,10,11,12,13,15,43,45,
50,54,55,57,59,60,61,64,68,73,75,76,77,99,195,196,197,198,199,200,201,202,203,
204,205,206,207,208,221,239,265,280,461,462,463,464,466,467,469,477,481,484,
485,486,488,489,491,493,496,497,499,502,503,504,506,507,509,515,516,519,523,
524,657,658,659,660,661,810,813,815,816,821,823,863,867,871,879,882,883,884,
895,898,902,1018,1019,1020,1024,1026,1027,1029,1030,1037,1040,1042,1043,1044,
1135,1227,1257,1361,1363,1376,1391,1526,1529,1531,1692,1702,1704,1813],[1,2,4,
7,9,10,11,12,13,15,42,44,50,54,55,57,59,60,62,63,68,73,75,78,79,98,195,196,
197,198,199,200,201,202,203,204,205,206,207,208,221,239,266,281,461,462,463,
464,466,467,468,477,481,484,485,486,488,489,491,493,494,495,496,498,500,502,
505,507,508,515,517,519,523,524,657,658,659,660,661,810,813,815,816,820,822,
863,867,870,872,873,874,880,896,897,904,1018,1019,1020,1024,1026,1027,1028,
1031,1037,1040,1042,1045,1046,1134,1224,1257,1361,1363,1375,1392,1526,1529,
1530,1692,1701,1703,1814],[1,2,4,6,9,10,11,12,13,15,40,41,50,54,55,57,59,60,
68,70,71,73,74,75,80,95,195,196,197,198,199,200,201,202,203,204,205,206,207,
208,221,239,276,278,461,462,463,464,466,467,477,481,483,484,485,486,488,489,
491,493,496,501,502,507,510,512,513,514,515,518,519,520,523,524,657,658,659,
660,661,810,813,815,816,857,858,863,867,875,885,886,891,893,894,905,1018,1019,
1020,1024,1026,1027,1037,1038,1039,1040,1042,1047,1048,1146,1228,1257,1361,
1363,1390,1393,1526,1529,1532,1692,1705,1706,1815],[1,2,4,6,9,10,11,12,13,15,
40,41,50,54,55,57,59,60,68,70,71,73,74,75,80,95,195,196,197,198,199,200,201,
202,203,204,205,206,207,208,221,239,276,278,461,462,463,464,466,467,477,481,
483,484,485,486,488,489,491,493,496,501,502,507,510,512,513,514,515,518,519,
520,523,524,657,658,659,660,661,810,813,815,816,857,858,863,867,875,876,886,
891,893,894,903,1018,1019,1020,1024,1026,1027,1037,1038,1039,1040,1042,1047,
1048,1146,1225,1257,1361,1363,1390,1393,1526,1529,1532,1692,1705,1707,1816],[
1,3,4,5,9,10,11,12,13,22,24,28,36,51,52,53,55,56,58,60,65,66,67,68,69,72,73,
75,129,195,196,197,198,199,200,201,202,203,204,205,206,207,208,226,228,234,
236,238,246,248,250,270,271,273,465,467,470,471,472,473,474,475,476,477,478,
479,480,481,482,485,486,487,490,491,492,493,496,502,507,511,515,519,521,522,
523,524,568,602,657,658,659,660,661,818,831,833,837,841,842,843,844,845,846,
847,848,849,850,852,855,869,889,900,901,1021,1022,1023,1024,1025,1027,1032,
1033,1034,1035,1036,1037,1040,1041,1042,1179,1185,1198,1257,1366,1367,1368,
1370,1372,1379,1380,1381,1382,1384,1385,1527,1528,1529,1603,1616,1694,1696,
1698,1700,1817],[1,3,4,9,10,11,12,13,22,27,30,51,53,55,58,60,67,68,73,75,130,
195,196,197,198,199,200,201,202,203,204,205,206,207,208,227,228,235,248,253,
255,465,467,470,474,476,477,480,481,485,486,491,493,496,502,507,511,515,519,
523,524,572,617,657,658,659,660,661,818,832,833,836,847,851,853,889,1021,1022,
1024,1027,1033,1036,1037,1040,1042,1180,1184,1257,1366,1369,1371,1382,1386,
1387,1527,1529,1602,1619,1695,1696,1697,1818],[1,3,5,6,9,10,11,12,13,24,27,32,
51,52,53,56,58,65,66,67,69,70,71,72,74,80,148,195,196,197,198,199,200,201,202,
203,204,205,206,207,208,227,236,246,250,253,257,259,274,465,470,471,472,473,
474,475,476,478,479,480,482,483,487,490,492,501,510,511,512,513,514,518,520,
521,522,605,625,657,658,659,660,661,832,837,840,842,844,849,851,854,888,890,
1021,1022,1023,1025,1032,1033,1034,1035,1036,1038,1039,1041,1047,1048,1182,
1199,1257,1367,1369,1380,1383,1384,1386,1388,1389,1527,1528,1532,1617,1621,
1695,1698,1699,1819],[1,3,4,7,9,10,11,12,13,22,42,45,51,53,55,58,60,62,63,67,
68,73,75,78,79,138,195,196,197,198,199,200,201,202,203,204,205,206,207,208,
228,248,266,281,465,467,468,470,474,476,477,480,481,485,486,491,493,494,495,
496,498,500,502,505,507,508,511,515,517,519,523,524,657,658,659,660,661,818,
820,823,833,847,870,872,873,880,884,889,897,898,902,1021,1022,1024,1027,1028,
1031,1033,1036,1037,1040,1042,1045,1046,1149,1239,1257,1366,1375,1382,1392,
1527,1529,1530,1696,1701,1704,1820],[1,3,4,8,9,10,11,12,13,22,43,44,51,53,55,
58,60,61,64,67,68,73,75,76,77,139,195,196,197,198,199,200,201,202,203,204,205,
206,207,208,228,248,265,280,465,467,469,470,474,476,477,480,481,485,486,491,
493,496,497,499,502,503,504,506,507,509,511,515,516,519,523,524,657,658,659,
660,661,818,821,822,833,847,871,874,879,882,883,889,895,896,904,1021,1022,
1024,1027,1029,1030,1033,1036,1037,1040,1042,1043,1044,1150,1238,1257,1366,
1376,1382,1391,1527,1529,1531,1696,1702,1703,1821],[1,3,4,6,9,10,11,12,13,22,
32,40,51,53,55,58,60,67,68,70,71,73,74,75,80,136,195,196,197,198,199,200,201,
202,203,204,205,206,207,208,228,248,257,259,274,276,278,465,467,470,474,476,
477,480,481,483,485,486,491,493,496,501,502,507,510,511,512,513,514,515,518,
519,520,523,524,619,657,658,659,660,661,818,833,840,847,854,857,875,886,888,
889,890,891,893,894,1021,1022,1024,1027,1033,1036,1037,1038,1039,1040,1042,
1047,1048,1190,1237,1257,1366,1382,1383,1388,1389,1390,1393,1527,1529,1532,
1620,1696,1699,1705,1822],[1,3,4,9,10,11,12,13,22,41,51,53,55,58,60,67,68,73,
75,137,195,196,197,198,199,200,201,202,203,204,205,206,207,208,228,248,465,
467,470,474,476,477,480,481,485,486,491,493,496,502,507,511,515,519,523,524,
657,658,659,660,661,818,833,847,858,876,885,889,903,905,1021,1022,1024,1027,
1033,1036,1037,1040,1042,1191,1257,1366,1382,1527,1529,1696,1706,1707,1823],[
1,3,5,6,9,10,11,12,13,24,30,32,51,52,53,56,58,65,66,67,69,70,71,72,74,80,151,
195,196,197,198,199,200,201,202,203,204,205,206,207,208,235,236,246,250,255,
257,259,274,465,470,471,472,473,474,475,476,478,479,480,482,483,487,490,492,
501,510,511,512,513,514,518,520,521,522,607,627,657,658,659,660,661,836,837,
840,842,844,849,853,854,888,890,1021,1022,1023,1025,1032,1033,1034,1035,1036,
1038,1039,1041,1047,1048,1196,1201,1257,1367,1371,1380,1383,1384,1387,1388,
1389,1527,1528,1532,1618,1622,1697,1698,1699,1824],[1,4,5,9,10,11,12,13,36,41,
52,55,56,60,65,66,68,69,72,73,75,174,195,196,197,198,199,200,201,202,203,204,
205,206,207,208,238,271,273,467,471,472,473,475,477,478,479,481,482,485,486,
487,490,491,492,493,496,502,507,515,519,521,522,523,524,657,658,659,660,661,
843,845,846,850,855,858,869,876,900,901,903,1023,1024,1025,1027,1032,1034,
1035,1037,1040,1041,1042,1202,1244,1257,1372,1381,1385,1528,1529,1700,1707,
1825],[1,4,5,9,10,11,12,13,36,41,52,55,56,60,65,66,68,69,72,73,75,174,195,196,
197,198,199,200,201,202,203,204,205,206,207,208,238,271,273,467,471,472,473,
475,477,478,479,481,482,485,486,487,490,491,492,493,496,502,507,515,519,521,
522,523,524,657,658,659,660,661,843,845,846,850,855,858,869,885,900,901,905,
1023,1024,1025,1027,1032,1034,1035,1037,1040,1041,1042,1202,1245,1257,1372,
1381,1385,1528,1529,1700,1706,1826],[1,4,6,7,8,9,10,11,12,13,40,42,43,46,55,
60,61,62,63,64,68,70,71,73,74,75,76,77,78,79,80,183,195,196,197,198,199,200,
201,202,203,204,205,206,207,208,265,266,276,277,278,279,280,281,282,283,467,
468,469,477,481,483,485,486,491,493,494,495,496,497,498,499,500,501,502,503,
504,505,506,507,508,509,510,512,513,514,515,516,517,518,519,520,523,524,655,
657,658,659,660,661,820,821,857,870,871,872,873,875,877,878,879,880,881,882,
883,886,887,891,892,893,894,895,897,899,1024,1027,1028,1029,1030,1031,1037,
1038,1039,1040,1042,1043,1044,1045,1046,1047,1048,1229,1233,1240,1257,1375,
1376,1390,1391,1392,1393,1394,1395,1396,1397,1529,1530,1531,1532,1623,1701,
1702,1705,1708,1827],[1,4,7,9,10,11,12,13,41,42,45,55,60,62,63,68,73,75,78,79,
187,195,196,197,198,199,200,201,202,203,204,205,206,207,208,266,281,467,468,
477,481,485,486,491,493,494,495,496,498,500,502,505,507,508,515,517,519,523,
524,657,658,659,660,661,820,823,858,870,872,873,880,884,885,897,898,902,905,
1024,1027,1028,1031,1037,1040,1042,1045,1046,1234,1257,1375,1392,1529,1530,
1701,1704,1706,1828],[1,4,7,9,10,11,12,13,41,42,55,60,62,63,68,73,75,78,79,
190,195,196,197,198,199,200,201,202,203,204,205,206,207,208,266,281,467,468,
477,481,485,486,491,493,494,495,496,498,500,502,505,507,508,515,517,519,523,
524,657,658,659,660,661,820,858,870,872,873,876,880,897,903,1024,1027,1028,
1031,1037,1040,1042,1045,1046,1231,1257,1375,1392,1529,1530,1701,1707,1829],[
1,4,6,7,9,10,11,12,13,40,42,44,55,60,62,63,68,70,71,73,74,75,78,79,80,185,195,
196,197,198,199,200,201,202,203,204,205,206,207,208,266,276,278,281,467,468,
477,481,483,485,486,491,493,494,495,496,498,500,501,502,505,507,508,510,512,
513,514,515,517,518,519,520,523,524,657,658,659,660,661,820,822,857,870,872,
873,874,875,880,886,891,893,894,896,897,904,1024,1027,1028,1031,1037,1038,
1039,1040,1042,1045,1046,1047,1048,1232,1243,1257,1375,1390,1392,1393,1529,
1530,1532,1701,1703,1705,1830],[1,4,8,9,10,11,12,13,41,43,55,60,61,64,68,73,
75,76,77,188,195,196,197,198,199,200,201,202,203,204,205,206,207,208,265,280,
467,469,477,481,485,486,491,493,496,497,499,502,503,504,506,507,509,515,516,
519,523,524,657,658,659,660,661,821,858,871,879,882,883,885,895,905,1024,1027,
1029,1030,1037,1040,1042,1043,1044,1235,1257,1376,1391,1529,1531,1702,1706,
1831],[1,4,6,8,9,10,11,12,13,40,43,45,55,60,61,64,68,70,71,73,74,75,76,77,80,
184,195,196,197,198,199,200,201,202,203,204,205,206,207,208,265,276,278,280,
467,469,477,481,483,485,486,491,493,496,497,499,501,502,503,504,506,507,509,
510,512,513,514,515,516,518,519,520,523,524,657,658,659,660,661,821,823,857,
871,875,879,882,883,884,886,891,893,894,895,898,902,1024,1027,1029,1030,1037,
1038,1039,1040,1042,1043,1044,1047,1048,1236,1242,1257,1376,1390,1391,1393,
1529,1531,1532,1702,1704,1705,1832],[1,4,8,9,10,11,12,13,41,43,44,55,60,61,64,
68,73,75,76,77,191,195,196,197,198,199,200,201,202,203,204,205,206,207,208,
265,280,467,469,477,481,485,486,491,493,496,497,499,502,503,504,506,507,509,
515,516,519,523,524,657,658,659,660,661,821,822,858,871,874,876,879,882,883,
895,896,903,904,1024,1027,1029,1030,1037,1040,1042,1043,1044,1230,1257,1376,
1391,1529,1531,1702,1703,1707,1833],[1,4,6,9,10,11,12,13,40,44,45,55,60,68,70,
71,73,74,75,80,186,195,196,197,198,199,200,201,202,203,204,205,206,207,208,
276,278,467,477,481,483,485,486,491,493,496,501,502,507,510,512,513,514,515,
518,519,520,523,524,657,658,659,660,661,822,823,857,874,875,884,886,891,893,
894,896,898,902,904,1024,1027,1037,1038,1039,1040,1042,1047,1048,1241,1257,
1390,1393,1529,1532,1703,1704,1705,1834],[1,4,9,10,11,12,13,41,44,55,60,68,73,
75,189,195,196,197,198,199,200,201,202,203,204,205,206,207,208,467,477,481,
485,486,491,493,496,502,507,515,519,523,524,657,658,659,660,661,822,858,874,
885,896,904,905,1024,1027,1037,1040,1042,1248,1257,1529,1703,1706,1835],[1,4,
9,10,11,12,13,41,45,55,60,68,73,75,192,195,196,197,198,199,200,201,202,203,
204,205,206,207,208,467,477,481,485,486,491,493,496,502,507,515,519,523,524,
657,658,659,660,661,823,858,876,884,898,902,903,1024,1027,1037,1040,1042,1246,
1257,1529,1704,1707,1836],[1,4,9,10,11,12,13,41,55,60,68,73,75,193,195,196,
197,198,199,200,201,202,203,204,205,206,207,208,467,477,481,485,486,491,493,
496,502,507,515,519,523,524,657,658,659,660,661,858,885,905,1024,1027,1037,
1040,1042,1249,1257,1529,1706,1837],[1,4,9,10,11,12,13,41,55,60,68,73,75,194,
195,196,197,198,199,200,201,202,203,204,205,206,207,208,467,477,481,485,486,
491,493,496,502,507,515,519,523,524,657,658,659,660,661,858,876,903,1024,1027,
1037,1040,1042,1247,1257,1529,1707,1838],[1,4,5,12,34,35,36,38,41,48,66,72,73,
165,167,172,173,174,207,212,268,273,444,521,523,535,646,647,648,900,903,1009,
1056,1244,1417,1709,1839],[1,4,12,35,41,45,48,73,173,192,193,207,212,268,454,
523,536,648,902,903,1056,1246,1709,1840],[1,4,8,12,35,41,43,48,73,173,188,194,
207,212,213,214,268,455,523,537,648,903,1056,1247,1709,1841],[1,2,4,6,10,13,
15,18,33,34,37,40,41,49,57,59,60,74,75,80,92,93,95,111,112,157,166,204,215,
239,267,269,278,321,489,507,510,538,578,582,640,641,651,652,867,885,886,943,
951,1050,1053,1228,1401,1410,1710,1842],[1,4,8,10,13,33,37,41,43,44,49,60,61,
64,75,76,77,157,160,162,176,180,188,191,204,215,265,267,269,280,437,506,507,
509,540,641,643,644,650,651,654,882,883,885,1008,1012,1050,1053,1235,1403,
1412,1710,1843],[1,4,7,10,13,33,37,41,42,45,49,60,62,63,75,78,79,157,159,163,
175,179,187,190,204,215,216,217,266,267,269,281,436,505,507,508,539,641,642,
645,649,651,653,880,884,885,1007,1010,1050,1053,1234,1402,1411,1710,1844],[1,
2,4,6,10,13,15,18,33,34,37,40,41,48,57,59,60,74,75,80,92,93,95,111,112,157,
166,202,212,239,267,269,278,321,488,496,501,535,578,582,640,641,651,652,863,
875,876,943,951,1049,1054,1225,1398,1413,1711,1845],[1,4,8,10,13,33,37,41,43,
44,48,60,61,64,75,76,77,157,160,162,176,180,188,191,202,212,213,214,265,267,
269,280,437,496,497,499,537,641,643,644,650,651,654,871,874,876,1008,1012,
1049,1054,1230,1399,1414,1711,1846],[1,4,7,10,13,33,37,41,42,45,48,60,62,63,
75,78,79,157,159,163,175,179,187,190,202,212,266,267,269,281,436,496,498,500,
536,641,642,645,649,651,653,872,873,876,1007,1010,1049,1054,1231,1400,1415,
1711,1847],[1,4,5,12,34,35,36,38,41,49,66,72,73,165,167,172,173,174,208,215,
268,273,444,522,524,538,646,647,648,901,905,1009,1055,1245,1416,1712,1848],[1,
4,7,12,35,41,42,49,73,173,190,193,208,215,216,217,268,453,524,539,648,905,
1055,1249,1712,1849],[1,4,12,35,41,44,49,73,173,189,194,208,215,268,456,524,
540,648,904,905,1055,1248,1712,1850],[1,2,3,5,9,11,14,16,20,21,26,27,28,47,50,
53,54,65,67,69,81,86,87,100,102,115,121,197,210,220,242,260,270,288,462,480,
482,532,576,579,583,586,632,633,812,851,852,938,945,1051,1052,1143,1405,1407,
1713,1851],[1,3,4,9,11,20,22,23,26,27,29,30,47,51,53,55,58,67,68,113,115,116,
127,130,141,142,197,209,210,211,228,242,248,260,363,470,480,481,526,584,586,
587,601,632,634,833,851,853,961,981,1051,1052,1184,1404,1408,1713,1852],[1,3,
5,6,9,11,20,24,25,26,27,31,32,47,52,53,56,67,70,71,114,115,117,147,148,152,
153,197,210,236,242,260,274,369,472,480,483,533,585,586,588,608,632,635,844,
851,854,967,997,1051,1052,1199,1406,1409,1713,1853],[1,3,4,5,9,11,12,21,22,24,
26,28,29,36,47,51,52,53,55,56,58,65,66,67,68,69,72,73,118,121,122,127,129,196,
209,210,211,224,225,226,228,231,233,234,236,238,246,248,250,260,261,270,271,
273,284,375,471,474,475,476,477,478,479,526,532,559,560,563,564,567,568,571,
601,602,633,636,662,663,664,828,841,842,843,847,848,849,850,910,933,982,1051,
1057,1058,1059,1168,1169,1172,1198,1404,1405,1418,1485,1533,1627,1714,1715,
1716,1854],[1,3,4,9,11,12,20,22,23,26,29,35,47,51,58,67,68,113,127,128,196,
209,210,211,225,242,244,245,248,249,260,261,268,284,360,474,525,526,527,584,
592,601,662,828,859,906,958,970,971,1051,1060,1204,1404,1419,1502,1533,1626,
1855],[1,3,4,11,13,22,26,29,37,47,58,67,68,127,133,205,209,210,211,248,252,
254,260,262,269,285,405,511,526,528,530,601,616,665,861,911,985,992,1051,1061,
1214,1404,1422,1511,1534,1629,1856],[1,3,4,6,11,13,22,25,26,29,32,40,47,58,67,
68,70,71,74,75,80,127,132,136,152,155,205,209,210,211,247,248,251,252,254,257,
259,260,262,274,276,278,285,410,511,512,513,515,518,526,533,601,610,612,614,
616,619,628,630,635,639,665,666,667,861,888,889,890,891,893,914,991,1001,1051,
1062,1063,1064,1214,1219,1220,1237,1404,1406,1425,1516,1534,1632,1717,1718,
1719,1857],[1,2,3,4,9,10,14,15,20,21,22,23,47,50,51,53,54,55,57,59,60,81,82,
83,113,118,195,209,210,211,218,220,221,223,224,228,229,230,231,239,242,243,
284,286,461,464,465,466,467,526,532,541,544,545,555,556,560,561,583,584,589,
662,663,664,808,809,810,816,818,824,910,921,953,1052,1057,1058,1059,1133,1151,
1153,1154,1407,1408,1418,1467,1535,1633,1720,1721,1722,1858],[1,3,4,9,10,20,
22,23,33,47,51,53,55,113,125,195,209,210,211,223,228,230,242,243,267,284,358,
465,525,526,527,555,584,662,824,906,956,969,1052,1060,1153,1408,1419,1501,
1535,1635,1859],[1,3,4,9,11,12,20,22,23,26,29,35,47,51,53,55,58,113,127,128,
196,209,210,211,225,228,233,242,244,245,260,261,268,285,360,476,526,528,530,
564,584,601,665,828,859,911,958,970,971,1052,1061,1169,1408,1422,1502,1536,
1637,1860],[1,3,4,5,9,11,12,20,22,23,24,25,28,36,47,51,52,53,55,56,58,65,66,
67,68,69,72,73,113,114,129,132,140,196,209,210,211,226,228,234,236,238,242,
244,245,246,247,248,249,250,251,270,271,273,285,361,471,474,475,476,477,478,
479,526,533,568,584,585,591,592,593,598,602,603,610,611,665,666,667,841,842,
843,847,848,849,850,859,914,959,972,1052,1062,1063,1064,1198,1203,1204,1205,
1408,1409,1425,1503,1536,1639,1723,1724,1725,1861],[1,3,4,9,11,21,22,25,27,30,
47,51,53,55,58,67,68,118,130,132,197,209,210,211,224,228,231,247,248,251,284,
285,374,470,480,481,526,529,531,532,533,560,610,662,663,664,665,666,667,827,
833,838,851,853,910,912,914,919,1057,1058,1059,1062,1063,1064,1165,1184,1187,
1256,1258,1259,1260,1418,1425,1479,1537,1538,1539,1540,1541,1726,1727,1728,
1862],[1,2,3,4,5,9,11,12,13,14,15,16,17,20,21,22,23,24,26,27,28,29,30,36,50,
51,52,53,54,55,56,58,65,66,67,68,69,72,73,75,81,82,83,84,86,87,88,89,100,101,
102,103,113,115,116,118,121,122,127,129,130,141,142,196,197,199,205,206,218,
219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,
238,244,246,248,249,250,252,253,254,255,260,261,262,270,271,273,286,288,289,
292,294,301,302,305,307,363,375,462,470,471,472,473,474,475,476,477,478,479,
480,481,486,487,511,515,519,541,542,543,544,545,546,547,548,549,550,551,552,
553,554,555,556,557,558,559,560,561,562,563,564,565,566,567,568,569,570,571,
572,573,574,575,576,577,592,594,595,601,602,616,617,620,621,632,633,634,636,
637,638,659,671,807,811,812,813,814,825,827,828,829,830,831,832,833,834,835,
836,841,842,843,844,845,846,847,848,849,850,861,862,889,920,921,922,923,924,
925,926,927,928,929,930,931,932,933,934,935,938,939,941,975,981,982,1032,1033,
1034,1036,1037,1124,1125,1126,1127,1128,1129,1130,1131,1132,1137,1139,1140,
1141,1142,1157,1158,1159,1164,1165,1166,1167,1168,1169,1170,1171,1172,1173,
1174,1177,1178,1179,1180,1181,1198,1214,1217,1218,1221,1261,1264,1378,1379,
1380,1381,1382,1384,1441,1442,1443,1444,1445,1446,1447,1448,1449,1450,1451,
1460,1462,1471,1478,1483,1484,1485,1486,1515,1594,1610,1611,1612,1613,1616,
1649,1652,1734,1735,1736,1749,1751,1863],[1,2,3,4,5,6,9,11,12,13,14,15,16,17,
22,24,26,27,28,29,30,31,32,36,39,50,51,52,53,54,55,56,58,65,66,67,68,69,70,71,
74,82,84,86,87,88,89,91,127,129,130,134,135,147,148,149,150,196,197,199,205,
206,218,219,220,221,222,225,228,229,232,233,236,237,246,248,250,252,253,254,
256,257,258,260,261,262,270,271,272,274,275,292,294,297,310,312,406,407,462,
470,471,472,473,476,478,480,481,482,483,511,512,513,514,542,544,546,550,551,
564,565,576,577,601,602,604,605,606,608,609,616,618,624,626,659,688,807,811,
812,813,814,828,829,830,833,835,837,839,842,844,851,852,853,854,855,856,861,
862,888,923,935,986,987,993,1032,1036,1038,1125,1126,1127,1129,1131,1140,1143,
1144,1145,1169,1170,1173,1175,1184,1185,1188,1189,1194,1199,1200,1213,1214,
1215,1216,1267,1378,1380,1386,1388,1445,1447,1452,1454,1463,1464,1487,1488,
1512,1594,1612,1614,1617,1653,1735,1752,1753,1864],[1,2,3,4,5,6,9,11,12,13,14,
15,16,17,22,24,25,26,29,30,32,40,41,50,51,52,53,54,55,56,58,65,66,67,68,70,71,
80,82,84,86,88,91,95,127,131,132,136,137,151,152,155,196,197,199,205,206,218,
219,220,221,222,225,228,229,232,233,236,237,246,247,248,251,252,254,255,257,
259,260,261,262,274,276,292,295,298,314,316,409,410,462,470,471,472,473,476,
478,480,481,483,511,513,518,520,542,544,546,550,551,564,565,576,577,601,607,
610,612,614,616,619,628,630,635,639,659,690,807,811,812,813,814,828,829,830,
833,835,838,840,842,844,853,854,857,858,861,862,890,923,935,989,991,1001,1032,
1036,1039,1125,1126,1127,1129,1131,1140,1145,1146,1169,1170,1173,1176,1186,
1187,1190,1191,1195,1201,1214,1219,1220,1222,1269,1378,1380,1387,1389,1445,
1447,1453,1455,1465,1466,1489,1490,1516,1594,1612,1615,1618,1654,1735,1754,
1755,1865],[1,2,3,4,5,9,10,11,12,14,15,16,17,20,21,22,23,24,26,27,28,29,30,36,
50,51,52,53,54,55,56,57,58,59,60,67,68,73,81,82,83,84,86,87,88,89,100,101,102,
103,113,115,116,118,121,122,127,129,130,141,142,195,196,197,198,200,218,219,
220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,
239,242,243,244,245,248,249,252,253,254,255,286,288,289,292,294,301,302,305,
307,363,375,461,462,463,464,465,466,467,470,472,474,476,477,480,481,484,485,
491,541,542,543,544,545,546,547,548,549,550,551,552,553,554,555,556,557,558,
559,560,561,562,563,564,565,566,567,568,569,570,571,572,573,574,575,579,580,
583,584,586,587,589,590,592,594,595,599,616,617,620,621,657,671,807,808,809,
810,811,812,813,814,815,816,818,824,825,826,827,829,831,832,833,834,835,836,
844,845,847,859,860,920,921,922,923,924,925,926,927,928,929,930,931,932,933,
934,936,945,946,949,953,961,975,1018,1019,1021,1022,1024,1124,1126,1128,1129,
1130,1131,1132,1133,1136,1137,1138,1139,1140,1141,1142,1151,1152,1153,1154,
1155,1156,1157,1158,1159,1162,1163,1164,1165,1166,1173,1174,1179,1180,1181,
1204,1206,1207,1211,1261,1271,1359,1360,1361,1362,1366,1377,1441,1442,1443,
1447,1448,1450,1451,1457,1458,1459,1460,1461,1462,1467,1468,1469,1470,1471,
1478,1506,1595,1598,1604,1605,1606,1607,1649,1657,1738,1739,1740,1741,1742,
1866],[1,2,3,4,5,6,9,10,11,12,14,16,17,20,22,23,24,27,28,30,31,32,36,39,40,50,
51,52,53,54,55,56,57,58,65,66,67,68,69,70,71,84,87,91,100,101,113,117,129,130,
131,134,136,146,148,149,151,195,196,197,198,200,219,220,222,223,226,227,228,
229,230,232,234,236,237,238,242,243,244,245,248,249,256,257,258,259,270,272,
274,275,276,305,310,314,362,367,415,417,461,462,463,465,466,470,472,474,478,
479,480,481,482,483,492,548,550,552,555,557,568,570,573,579,580,584,588,592,
596,597,600,618,619,622,623,657,708,809,811,812,814,824,825,826,831,833,834,
839,840,844,845,848,851,852,853,854,856,857,859,860,927,936,960,965,976,1018,
1022,1025,1136,1137,1138,1140,1141,1143,1145,1153,1155,1158,1161,1179,1184,
1186,1188,1190,1193,1199,1200,1201,1204,1208,1209,1212,1274,1360,1369,1370,
1377,1458,1460,1463,1465,1473,1475,1492,1494,1507,1596,1598,1606,1609,1658,
1739,1744,1746,1867],[1,2,3,4,5,9,10,11,12,14,16,17,20,22,23,24,25,28,30,36,
41,50,51,52,53,54,55,56,57,58,65,67,68,69,72,84,89,100,101,113,114,129,132,
135,137,140,149,174,195,196,197,198,200,219,220,222,223,226,228,229,230,232,
234,235,236,237,238,242,243,244,245,246,247,248,249,250,251,270,271,305,312,
316,361,368,416,418,461,462,463,465,466,470,471,472,474,475,480,481,482,490,
548,550,552,555,557,568,569,570,579,580,584,585,591,592,593,598,602,603,610,
611,657,709,809,811,812,814,824,825,826,831,833,834,837,838,841,844,845,852,
853,855,858,859,860,927,936,959,966,972,1018,1022,1023,1136,1137,1138,1140,
1141,1144,1153,1155,1158,1160,1179,1185,1187,1189,1191,1192,1200,1202,1203,
1204,1205,1210,1276,1360,1368,1371,1377,1458,1460,1464,1466,1474,1476,1493,
1495,1503,1597,1598,1606,1608,1659,1739,1745,1747,1868],[1,2,3,4,5,9,10,11,12,
14,15,20,21,22,23,24,25,27,28,30,36,50,51,52,53,54,55,58,59,65,67,68,69,72,81,
82,83,87,89,113,114,118,129,130,131,132,140,195,196,197,198,200,218,220,221,
223,224,226,227,228,229,230,231,242,243,244,245,246,247,248,249,250,251,270,
271,286,294,295,361,362,373,374,461,462,464,465,470,471,474,475,480,481,482,
484,490,541,543,544,545,555,556,560,561,583,584,585,589,591,592,593,598,602,
603,610,611,657,670,807,808,812,813,824,825,826,827,833,834,837,838,841,851,
852,853,855,859,860,921,953,959,960,972,1019,1022,1023,1124,1129,1130,1143,
1144,1151,1153,1154,1158,1160,1162,1165,1184,1185,1186,1187,1192,1203,1204,
1205,1210,1295,1362,1368,1369,1377,1442,1452,1453,1467,1473,1474,1479,1480,
1503,1599,1604,1606,1608,1650,1741,1744,1745,1869],[1,2,3,4,5,6,9,10,11,12,14,
15,20,21,22,23,28,30,31,32,39,40,41,50,51,53,54,55,56,58,59,65,66,67,68,69,70,
71,81,82,83,89,91,95,113,117,118,134,135,136,137,146,195,196,197,198,200,218,
220,221,223,224,228,229,230,231,234,235,242,243,244,245,248,249,256,257,258,
259,270,272,274,275,276,286,297,298,367,368,379,380,461,462,464,465,470,474,
478,479,480,481,482,483,484,492,541,544,545,547,555,556,560,561,583,584,588,
589,592,596,597,600,618,619,622,623,657,674,807,808,812,813,824,825,826,827,
833,834,839,840,848,852,853,854,856,857,858,859,860,921,953,965,966,976,1019,
1022,1025,1124,1129,1130,1144,1145,1146,1151,1153,1154,1158,1161,1162,1165,
1188,1189,1190,1191,1193,1204,1208,1209,1212,1297,1362,1370,1371,1377,1442,
1454,1455,1467,1475,1476,1481,1482,1507,1600,1604,1606,1609,1651,1741,1746,
1747,1870],[1,3,4,9,10,11,12,20,22,23,26,27,29,30,41,51,53,55,58,60,67,68,73,
113,115,116,127,130,131,135,137,141,142,195,196,197,198,200,223,225,227,228,
230,233,235,242,243,244,245,248,249,252,253,254,255,362,363,368,406,409,419,
420,465,467,470,474,476,477,480,481,485,491,554,555,558,564,566,572,574,584,
586,587,590,592,594,595,599,616,617,620,621,657,755,818,824,825,826,829,832,
833,834,835,836,847,851,853,858,859,860,931,960,961,966,975,1021,1022,1024,
1152,1153,1156,1157,1158,1159,1163,1173,1174,1180,1181,1184,1186,1189,1191,
1204,1206,1207,1211,1313,1366,1369,1371,1377,1469,1471,1473,1476,1487,1489,
1496,1498,1506,1602,1605,1606,1607,1662,1742,1744,1747,1871],[1,3,4,5,6,9,10,
11,12,20,22,23,24,25,26,27,28,29,30,31,32,36,39,40,51,52,53,55,56,58,60,65,66,
67,68,69,70,71,72,73,113,114,115,116,117,127,129,130,132,134,136,140,141,142,
146,147,148,150,151,152,153,155,156,195,196,197,198,200,223,225,226,227,228,
230,233,234,235,236,238,242,243,244,245,246,247,248,249,250,251,252,253,254,
255,256,257,258,259,270,271,272,273,274,275,276,361,363,367,369,370,407,410,
415,421,433,434,465,467,470,471,474,475,476,477,478,479,480,481,482,483,485,
490,491,492,554,555,558,564,566,568,572,574,584,585,586,587,588,590,591,592,
593,594,595,596,597,598,599,600,602,603,604,605,606,607,610,611,612,613,614,
615,616,617,618,619,620,621,622,623,624,625,626,627,628,629,630,631,657,753,
818,824,825,826,829,832,833,834,835,836,837,838,839,840,841,842,843,847,848,
849,850,852,854,855,856,857,859,860,869,931,959,961,965,967,968,972,973,974,
975,976,977,978,979,993,994,995,996,1001,1002,1003,1004,1021,1022,1023,1024,
1025,1152,1153,1156,1157,1158,1159,1160,1161,1163,1173,1174,1175,1176,1180,
1181,1182,1183,1185,1187,1188,1190,1192,1193,1194,1195,1196,1197,1198,1203,
1204,1205,1206,1207,1208,1209,1210,1211,1212,1311,1328,1366,1367,1368,1370,
1372,1377,1469,1471,1472,1474,1475,1477,1488,1490,1491,1497,1499,1500,1503,
1504,1505,1506,1507,1508,1509,1510,1603,1605,1606,1607,1608,1609,1663,1681,
1742,1743,1745,1746,1748,1872],[1,3,4,9,11,12,13,20,22,23,26,27,29,30,41,51,
53,55,58,67,68,73,75,113,115,116,127,130,131,135,137,141,142,196,197,199,205,
206,223,225,227,228,230,233,235,244,248,249,252,253,254,255,260,261,262,362,
363,368,406,409,419,420,470,474,476,477,480,481,486,511,515,519,554,555,558,
564,566,572,574,592,594,595,601,616,617,620,621,632,634,637,638,659,755,825,
828,829,830,832,833,834,835,836,847,851,853,858,861,862,889,931,975,981,986,
989,1033,1036,1037,1157,1158,1159,1167,1169,1171,1173,1174,1177,1180,1181,
1184,1186,1189,1191,1214,1217,1218,1221,1335,1378,1382,1386,1387,1471,1473,
1476,1483,1487,1489,1496,1498,1515,1610,1612,1613,1619,1662,1749,1752,1754,
1873],[1,3,4,5,6,9,11,12,13,20,22,23,24,25,26,27,28,29,30,31,32,36,39,40,51,
53,55,58,65,67,68,69,70,71,73,74,75,80,113,114,115,116,117,127,129,130,132,
134,136,140,141,142,146,147,148,150,151,152,153,155,156,196,197,199,205,206,
223,225,227,228,230,233,235,244,246,247,248,249,250,251,252,253,254,255,256,
257,258,259,260,261,262,270,271,272,274,275,276,278,361,363,367,369,370,407,
410,415,421,433,434,470,474,476,477,480,481,482,483,486,511,512,513,514,515,
518,519,520,554,555,558,564,566,572,574,591,592,593,594,595,596,597,601,602,
603,604,605,606,607,608,609,610,611,612,613,614,615,616,617,618,619,620,621,
622,623,624,625,626,627,628,629,630,631,632,634,635,637,638,639,659,753,825,
828,829,830,832,833,834,835,836,837,838,839,840,847,852,854,855,856,857,861,
862,888,889,890,891,893,894,931,972,973,974,975,976,977,978,981,987,991,993,
994,995,996,997,999,1000,1001,1002,1003,1004,1033,1036,1037,1038,1039,1157,
1158,1159,1160,1161,1167,1169,1171,1173,1174,1175,1176,1177,1180,1181,1182,
1183,1185,1187,1188,1190,1192,1193,1194,1195,1196,1197,1213,1214,1215,1216,
1217,1218,1219,1220,1221,1222,1237,1328,1336,1378,1382,1383,1388,1389,1390,
1471,1472,1474,1475,1477,1483,1488,1490,1491,1497,1499,1500,1512,1513,1514,
1515,1516,1517,1518,1519,1610,1612,1613,1614,1615,1620,1663,1688,1749,1750,
1753,1755,1756,1874],[1,3,4,5,6,9,11,12,13,21,22,24,25,26,27,28,29,30,32,36,
40,51,52,53,55,56,58,67,68,69,70,71,72,80,118,121,122,127,129,130,132,135,136,
148,151,152,155,196,197,199,205,206,224,225,226,228,231,233,234,236,238,247,
248,250,251,252,253,254,257,259,260,261,262,274,276,374,375,380,406,410,415,
418,470,472,475,476,479,480,481,483,487,511,513,518,520,559,560,563,564,567,
568,571,601,610,612,614,616,619,625,628,630,633,635,636,639,659,766,827,828,
829,830,831,833,835,838,840,844,845,849,851,853,854,857,861,862,890,933,982,
986,991,1001,1034,1036,1039,1164,1165,1166,1168,1169,1172,1173,1176,1178,1179,
1184,1187,1189,1190,1195,1199,1201,1214,1219,1220,1222,1338,1378,1384,1386,
1389,1478,1479,1482,1485,1487,1490,1492,1495,1516,1611,1612,1615,1621,1664,
1751,1752,1755,1875],[1,3,4,5,6,9,11,12,13,21,22,24,26,28,29,30,31,32,36,39,
41,51,52,53,55,56,58,65,67,68,69,70,71,72,74,118,121,122,127,129,131,134,137,
147,149,150,151,174,196,197,199,205,206,224,225,226,228,231,233,234,236,238,
246,248,250,252,254,255,256,257,258,260,261,262,270,271,272,274,275,373,375,
379,407,409,416,417,470,472,475,476,479,480,481,482,483,487,511,512,513,514,
559,560,563,564,567,568,571,601,602,604,606,608,609,616,618,624,626,627,633,
636,659,764,827,828,829,830,831,833,835,837,839,844,845,849,852,853,854,855,
856,858,861,862,888,933,982,987,989,993,1034,1036,1038,1164,1165,1166,1168,
1169,1172,1173,1175,1178,1179,1185,1186,1188,1191,1194,1200,1201,1202,1213,
1214,1215,1216,1339,1378,1384,1387,1388,1478,1480,1481,1485,1488,1489,1493,
1494,1512,1611,1612,1614,1622,1665,1751,1753,1754,1876],[1,3,4,5,6,11,20,21,
22,23,24,25,26,27,28,29,30,31,32,34,35,36,37,39,40,47,58,65,67,68,69,70,71,
113,114,115,116,117,118,119,121,122,123,126,127,128,129,130,132,133,134,135,
136,140,141,142,144,146,147,148,150,151,152,153,154,155,156,165,166,209,210,
211,244,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,270,271,
272,274,275,276,359,360,361,363,365,366,367,369,370,372,374,375,376,378,380,
382,383,384,385,388,400,401,402,403,405,406,407,408,410,411,414,415,418,421,
423,433,434,525,526,527,528,529,530,531,532,533,534,591,592,593,594,595,596,
597,601,602,603,604,605,606,607,610,611,612,613,614,615,616,617,618,619,620,
621,622,623,624,625,626,627,628,629,630,631,633,635,747,748,749,750,752,753,
754,761,762,766,767,770,771,789,790,906,907,908,909,910,911,912,913,914,915,
916,970,972,973,974,975,976,977,978,982,984,985,986,990,991,993,994,995,996,
1001,1002,1003,1004,1051,1105,1250,1251,1252,1253,1254,1255,1256,1322,1323,
1325,1328,1337,1338,1343,1344,1404,1405,1406,1525,1580,1626,1627,1628,1629,
1630,1631,1632,1758,1759,1760,1761,1762,1763,1764,1877],[1,2,3,4,5,9,14,15,16,
17,20,21,22,23,24,25,26,27,28,29,30,33,34,35,36,47,50,51,52,53,54,55,56,81,82,
83,84,85,86,87,88,89,92,100,101,102,103,113,114,115,116,118,119,120,121,122,
125,126,127,128,129,130,131,132,140,141,142,143,165,209,210,211,218,219,220,
221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,242,
286,287,288,289,291,292,293,294,295,300,301,302,305,306,307,308,358,359,360,
361,362,363,364,365,371,372,373,374,375,376,377,381,382,391,392,400,401,525,
526,527,528,529,530,531,532,533,534,541,542,543,544,545,546,547,548,549,550,
551,552,553,554,555,556,557,558,559,560,561,562,563,564,565,566,567,568,569,
570,571,572,573,574,575,583,584,585,668,669,670,671,672,675,676,681,682,701,
702,743,747,748,757,906,907,908,909,910,911,912,913,914,915,916,920,921,922,
923,924,925,926,927,928,929,930,931,932,933,934,953,954,956,957,958,959,960,
1052,1065,1250,1251,1252,1253,1254,1255,1256,1261,1293,1294,1295,1298,1299,
1302,1305,1407,1408,1409,1525,1571,1633,1634,1635,1636,1637,1638,1639,1765,
1766,1767,1768,1769,1770,1771,1878],[1,3,9,10,11,12,20,26,27,47,51,53,67,115,
195,196,197,198,200,210,223,225,227,242,243,260,261,284,465,474,480,554,586,
632,657,662,824,828,851,1022,1051,1052,1152,1167,1369,1533,1535,1713,1879],[1,
3,9,11,12,13,20,26,27,47,53,58,67,115,196,197,199,205,206,210,242,244,245,252,
253,260,262,285,476,480,511,586,594,632,659,665,851,859,861,1036,1051,1052,
1206,1217,1386,1534,1536,1713,1880],[1,3,5,9,11,12,13,21,26,28,47,51,52,56,58,
65,66,67,69,72,121,196,197,199,205,206,210,224,225,226,231,234,252,260,261,
262,270,284,285,470,471,472,473,474,475,478,479,487,511,532,559,567,633,636,
659,662,665,827,828,829,830,831,841,848,861,862,919,1032,1033,1034,1051,1057,
1059,1164,1168,1172,1178,1258,1378,1379,1405,1533,1534,1537,1611,1714,1716,
1774,1881],[1,3,4,9,11,12,13,22,26,29,47,51,53,55,58,67,68,73,75,127,196,197,
199,205,206,209,210,211,225,228,233,248,252,254,260,261,262,284,285,470,474,
476,477,480,481,486,511,515,519,526,564,601,616,659,662,663,664,665,666,667,
828,829,830,833,835,847,861,862,889,919,1033,1036,1037,1051,1058,1063,1169,
1173,1214,1258,1259,1260,1378,1382,1404,1533,1534,1538,1612,1715,1718,1774,
1882],[1,3,6,9,11,12,13,25,26,32,47,51,58,67,70,71,74,80,152,196,197,199,205,
206,210,225,247,251,252,257,259,260,261,262,274,284,285,470,474,483,511,512,
513,514,518,520,533,612,628,635,639,659,662,665,828,829,830,838,840,861,862,
888,890,919,1033,1038,1039,1051,1062,1064,1176,1219,1220,1222,1258,1378,1383,
1406,1533,1534,1539,1615,1717,1719,1774,1883],[1,2,3,9,10,11,12,14,20,21,47,
50,51,53,54,57,58,59,81,195,196,197,198,200,210,218,220,223,224,229,231,242,
243,244,245,284,285,461,462,463,464,465,466,470,476,484,532,541,556,583,589,
657,662,665,807,808,809,824,825,826,827,859,860,919,1018,1019,1021,1052,1057,
1059,1124,1151,1154,1162,1258,1359,1377,1407,1535,1536,1537,1604,1720,1722,
1775,1884],[1,3,4,9,10,11,12,20,22,23,47,51,53,55,58,60,67,68,73,113,195,196,
197,198,200,209,210,211,223,228,230,242,243,244,245,248,249,284,285,465,467,
470,474,476,477,480,481,485,491,526,555,584,592,657,662,663,664,665,666,667,
818,824,825,826,833,834,847,859,860,919,1021,1022,1024,1052,1058,1063,1153,
1158,1204,1258,1259,1260,1366,1377,1408,1535,1536,1538,1606,1721,1724,1775,
1885],[1,3,5,9,10,11,12,20,24,25,47,51,52,53,56,58,65,66,69,72,114,195,196,
197,198,200,210,223,236,242,243,244,245,246,247,250,251,284,285,465,470,471,
475,476,478,479,482,490,492,533,585,591,593,598,657,662,665,824,825,826,837,
838,842,849,859,860,919,1021,1023,1025,1052,1062,1064,1160,1203,1205,1210,
1258,1367,1377,1409,1535,1536,1539,1608,1723,1725,1775,1886],[1,2,3,4,5,6,11,
13,14,15,16,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,
40,41,58,65,67,68,69,70,71,74,75,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,
95,100,101,102,103,104,105,106,107,108,111,112,113,114,115,116,117,118,119,
120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,140,
141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,165,
166,167,172,173,174,205,244,246,247,248,249,250,251,252,253,254,255,256,257,
258,259,260,262,269,270,271,272,274,275,276,278,286,287,288,289,290,291,292,
293,294,295,296,297,298,300,301,302,303,304,305,306,307,308,309,310,311,312,
313,314,315,316,317,318,319,320,321,322,338,339,340,341,342,343,344,346,347,
348,349,350,358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,
374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,
393,394,395,400,401,402,403,405,406,407,408,409,410,411,412,413,414,415,416,
417,418,419,420,421,422,423,433,434,435,444,511,512,513,515,518,576,578,591,
592,593,594,595,596,597,601,602,603,604,605,606,607,608,609,610,611,612,613,
614,615,616,617,618,619,620,621,622,623,624,625,626,627,628,629,630,631,632,
633,634,635,638,639,651,652,668,669,670,671,672,673,674,675,676,677,678,679,
680,681,682,683,684,687,688,689,690,691,692,693,694,695,696,701,702,703,704,
705,706,707,708,709,710,711,712,713,714,715,716,717,718,719,720,727,728,729,
730,731,732,733,734,735,736,743,744,747,748,749,750,751,752,753,754,755,756,
757,758,761,762,763,764,765,766,767,768,769,770,771,774,775,776,789,790,861,
888,889,890,891,893,935,937,938,939,940,943,970,972,973,974,975,976,977,978,
980,981,982,983,984,985,986,987,988,989,990,991,992,993,994,995,996,997,998,
999,1000,1001,1002,1003,1004,1065,1066,1068,1069,1070,1071,1072,1073,1074,
1075,1076,1077,1078,1088,1089,1090,1100,1105,1106,1213,1214,1215,1217,1218,
1219,1220,1237,1262,1264,1265,1266,1267,1268,1269,1270,1277,1279,1280,1281,
1282,1283,1321,1322,1323,1324,1325,1328,1329,1330,1331,1332,1333,1334,1335,
1336,1337,1338,1339,1340,1341,1342,1343,1344,1345,1348,1349,1426,1511,1512,
1513,1514,1515,1516,1517,1518,1542,1543,1544,1548,1549,1550,1551,1553,1559,
1560,1562,1563,1579,1580,1581,1582,1666,1682,1683,1684,1685,1688,1729,1777,
1778,1798,1799,1800,1887],[1,2,3,4,5,6,7,8,11,13,14,15,16,17,18,19,22,23,24,
25,26,29,30,31,32,33,34,37,38,39,40,41,42,43,44,45,46,58,65,68,70,71,74,75,76,
77,78,79,80,82,84,85,86,88,90,91,92,93,94,95,96,97,98,99,104,105,106,107,109,
110,111,112,125,126,127,131,132,133,136,137,138,139,140,141,143,146,147,151,
152,155,156,157,158,159,160,161,162,163,164,166,167,168,169,170,171,175,176,
177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,205,246,249,
251,252,255,256,259,260,262,269,272,276,277,278,279,280,281,282,283,291,292,
295,296,298,299,306,308,309,311,314,316,317,320,321,322,323,324,325,326,327,
328,329,330,331,332,333,334,335,336,337,345,346,347,348,349,351,352,353,354,
355,356,391,393,396,397,400,402,404,405,409,410,422,423,424,425,426,427,428,
429,430,433,436,437,438,439,440,441,443,445,446,447,448,449,450,451,512,515,
516,517,518,576,578,601,603,604,607,608,609,620,622,628,631,634,635,638,639,
649,650,651,652,653,654,655,681,683,685,687,690,696,697,698,699,710,712,717,
719,721,722,723,724,725,726,737,738,774,777,778,783,784,789,791,792,793,794,
801,802,803,804,861,891,892,895,897,899,935,937,940,942,943,944,983,984,985,
989,991,992,995,999,1000,1010,1011,1012,1013,1076,1079,1082,1084,1087,1091,
1093,1095,1115,1116,1123,1213,1218,1220,1240,1265,1266,1269,1270,1282,1283,
1284,1340,1343,1346,1347,1348,1349,1350,1351,1431,1511,1514,1550,1552,1553,
1554,1583,1584,1585,1586,1666,1684,1685,1686,1687,1731,1778,1779,1801,1802,
1805,1888],[1,2,3,4,5,6,11,13,14,15,16,17,18,22,23,24,25,26,29,30,31,32,33,34,
37,38,39,40,41,44,45,58,65,68,70,71,74,75,80,82,84,85,86,88,90,91,92,93,94,95,
104,105,106,107,110,111,112,125,126,127,131,132,133,136,137,140,141,143,146,
147,151,152,155,156,157,158,161,164,166,167,186,193,194,205,246,249,251,252,
255,256,259,260,262,269,272,276,278,291,292,295,296,298,306,308,309,311,314,
316,317,320,321,322,346,347,348,349,355,357,391,393,398,399,400,402,405,409,
410,422,423,431,432,433,442,452,512,515,518,576,578,601,603,604,607,608,609,
620,622,628,631,634,635,638,639,651,652,681,683,686,687,690,696,700,710,712,
717,719,739,740,774,779,780,781,782,789,861,891,896,898,935,937,940,943,983,
984,985,989,991,992,995,999,1000,1076,1080,1081,1092,1094,1117,1118,1213,1218,
1220,1241,1265,1266,1269,1270,1282,1283,1340,1343,1348,1349,1432,1511,1514,
1550,1553,1666,1684,1685,1778,1803,1804,1889],[1,2,3,4,5,6,9,11,12,14,15,16,
17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,50,51,
52,53,54,55,56,58,65,66,67,68,69,70,71,72,73,81,82,83,84,85,86,87,88,89,90,91,
92,93,94,95,100,101,102,103,104,105,106,107,108,111,112,113,114,115,116,117,
118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,
137,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,
158,165,166,167,172,173,174,196,218,219,220,221,222,223,224,225,226,227,228,
229,230,231,232,233,234,235,236,237,238,242,244,245,246,247,248,249,250,251,
252,253,254,255,256,257,258,259,260,261,268,270,271,272,273,274,275,276,286,
287,288,289,290,291,292,293,294,295,296,297,298,300,301,302,303,304,305,306,
307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,338,339,340,
341,342,343,344,346,347,348,349,350,358,359,360,361,362,363,364,365,366,367,
368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,
387,388,389,390,391,392,393,394,395,400,401,402,403,405,406,407,408,409,410,
411,412,413,414,415,416,417,418,419,420,421,422,423,433,434,435,444,471,474,
475,476,477,478,479,541,542,543,544,545,546,547,548,549,550,551,552,553,554,
555,556,557,558,559,560,561,562,563,564,565,566,567,568,569,570,571,572,573,
574,575,576,577,579,583,584,585,586,587,588,591,592,593,594,595,596,597,598,
599,600,601,602,603,604,605,606,607,608,610,611,612,613,614,615,616,617,618,
619,620,621,622,623,624,625,626,627,628,629,630,631,632,633,634,635,636,637,
646,647,648,668,669,670,671,672,673,674,675,676,677,678,679,680,681,682,683,
684,687,688,689,690,691,692,693,694,695,696,701,702,703,704,705,706,707,708,
709,710,711,712,713,714,715,716,717,718,719,720,727,728,729,730,731,732,733,
734,735,736,743,744,747,748,749,750,751,752,753,754,755,756,757,758,761,762,
763,764,765,766,767,768,769,770,771,774,775,776,789,790,828,841,842,843,847,
848,849,850,859,920,921,922,923,924,925,926,927,928,929,930,931,932,933,934,
935,936,937,938,939,940,941,945,946,947,948,953,954,955,956,957,958,959,960,
961,962,963,964,965,966,967,968,970,971,972,973,974,975,976,977,978,979,980,
981,982,983,984,985,986,987,988,989,990,991,993,994,995,996,997,998,999,1001,
1002,1003,1004,1009,1065,1066,1068,1069,1070,1071,1072,1073,1074,1075,1076,
1077,1078,1088,1089,1090,1100,1105,1106,1125,1167,1168,1169,1170,1171,1172,
1198,1203,1204,1205,1206,1207,1208,1209,1261,1262,1263,1264,1265,1266,1267,
1268,1269,1271,1272,1273,1274,1275,1276,1277,1278,1279,1280,1281,1282,1283,
1285,1286,1287,1288,1289,1290,1293,1294,1295,1296,1297,1298,1299,1300,1301,
1302,1303,1304,1305,1306,1307,1308,1309,1310,1311,1312,1313,1314,1321,1322,
1323,1324,1325,1326,1327,1328,1329,1330,1331,1332,1333,1334,1335,1336,1337,
1338,1339,1340,1341,1342,1343,1344,1345,1426,1444,1445,1446,1483,1484,1485,
1486,1502,1503,1504,1505,1506,1507,1508,1509,1542,1543,1544,1545,1546,1547,
1548,1549,1550,1551,1555,1556,1557,1558,1559,1560,1561,1562,1563,1564,1565,
1566,1567,1571,1572,1573,1574,1579,1580,1581,1582,1652,1667,1669,1676,1677,
1678,1679,1680,1681,1729,1730,1780,1781,1782,1786,1787,1796,1797,1890],[1,2,3,
4,5,6,9,10,14,15,16,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,
37,38,39,40,41,50,51,52,53,54,55,56,57,59,60,81,82,83,84,85,86,87,88,89,90,91,
92,93,94,95,100,101,102,103,104,105,106,107,108,111,112,113,114,115,116,117,
118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,
137,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,
158,165,166,167,172,173,174,195,218,219,220,221,222,223,224,225,226,227,228,
229,230,231,232,233,234,235,236,237,238,239,242,243,267,286,287,288,289,290,
291,292,293,294,295,296,297,298,300,301,302,303,304,305,306,307,308,309,310,
311,312,313,314,315,316,317,318,319,320,321,322,338,339,340,341,342,343,344,
346,347,348,349,350,358,359,360,361,362,363,364,365,366,367,368,369,370,371,
372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,
391,392,393,394,395,400,401,402,403,405,406,407,408,409,410,411,412,413,414,
415,416,417,418,419,420,421,422,423,433,434,435,444,461,464,465,466,467,541,
542,543,544,545,546,547,548,549,550,551,552,553,554,555,556,557,558,559,560,
561,562,563,564,565,566,567,568,569,570,571,572,573,574,575,579,580,582,583,
584,585,586,587,588,589,590,640,641,668,669,670,671,672,673,674,675,676,677,
678,679,680,681,682,683,684,687,688,689,690,691,692,693,694,695,696,701,702,
703,704,705,706,707,708,709,710,711,712,713,714,715,716,717,718,719,720,727,
728,729,730,731,732,733,734,735,736,743,744,747,748,749,750,751,752,753,754,
755,756,757,758,761,762,763,764,765,766,767,768,769,770,771,774,775,776,789,
790,808,809,810,816,818,824,920,921,922,923,924,925,926,927,928,929,930,931,
932,933,934,936,945,946,947,948,949,951,953,954,955,956,957,958,959,960,961,
962,963,964,965,966,967,968,969,1065,1066,1068,1069,1070,1071,1072,1073,1074,
1075,1076,1077,1078,1088,1089,1090,1100,1105,1106,1133,1136,1151,1152,1153,
1154,1155,1156,1261,1263,1271,1272,1273,1274,1275,1276,1285,1286,1287,1288,
1289,1290,1291,1293,1294,1295,1296,1297,1298,1299,1300,1301,1302,1303,1304,
1305,1306,1307,1308,1309,1310,1311,1312,1313,1314,1315,1316,1426,1457,1458,
1459,1467,1468,1469,1470,1501,1545,1546,1547,1555,1556,1557,1558,1564,1565,
1566,1567,1568,1571,1572,1573,1574,1657,1668,1670,1671,1672,1673,1730,1783,
1784,1788,1789,1791,1891],[1,2,3,4,5,6,7,8,9,10,14,15,16,17,18,19,20,21,22,23,
28,29,30,31,32,33,34,37,38,39,40,41,42,43,44,45,46,50,51,54,55,56,57,59,60,61,
62,63,64,81,82,83,88,89,90,91,92,93,94,95,96,97,98,99,100,103,104,106,109,110,
111,112,113,116,117,118,122,123,124,125,126,133,134,135,136,137,138,139,144,
145,146,157,158,159,160,161,162,163,164,166,167,168,169,170,171,175,176,177,
178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,195,218,221,222,
223,224,232,233,234,235,239,240,241,242,243,263,264,265,266,267,286,289,290,
291,296,297,298,299,303,304,321,322,323,324,325,326,327,328,329,330,331,332,
334,335,336,337,338,344,345,346,347,351,352,353,354,355,356,358,359,366,367,
368,371,378,379,380,393,394,395,396,397,398,399,402,403,404,424,425,428,429,
430,436,437,438,439,440,441,442,443,445,446,447,448,449,450,451,464,466,467,
468,469,541,546,547,557,558,562,563,579,580,581,582,583,584,587,588,589,590,
640,641,642,643,644,645,668,673,674,683,684,685,686,697,699,723,724,725,726,
727,730,736,737,738,739,744,745,746,749,758,759,760,777,778,779,780,785,786,
787,788,791,816,817,819,820,821,824,922,946,947,949,950,951,952,953,955,956,
957,964,965,966,969,1005,1006,1007,1008,1066,1067,1079,1080,1083,1096,1099,
1101,1102,1107,1108,1147,1151,1155,1156,1286,1287,1290,1291,1292,1293,1297,
1304,1307,1315,1316,1317,1318,1319,1320,1427,1468,1501,1566,1568,1569,1570,
1575,1576,1577,1578,1668,1671,1673,1674,1675,1732,1784,1785,1790,1792,1793,
1892],[1,2,3,4,5,6,9,10,14,15,16,17,18,20,21,22,23,28,29,30,31,32,33,34,37,38,
39,40,41,44,45,50,51,54,55,56,57,59,60,81,82,83,88,89,90,91,92,93,94,95,97,
100,103,104,106,110,111,112,113,116,117,118,122,123,124,125,126,133,134,135,
136,137,144,145,146,157,158,166,167,177,178,193,194,195,218,221,222,223,224,
232,233,234,235,239,242,243,267,286,289,290,291,296,297,298,303,304,321,322,
328,333,338,344,346,347,357,358,359,366,367,368,371,378,379,380,393,394,395,
402,403,426,427,431,432,452,464,466,467,541,546,547,557,558,562,563,579,580,
582,583,584,587,588,589,590,640,641,668,673,674,683,684,698,700,727,730,736,
740,744,749,758,781,782,783,784,792,816,822,823,824,922,946,947,949,951,953,
955,956,957,964,965,966,969,1066,1081,1082,1103,1104,1109,1110,1148,1151,1155,
1156,1286,1287,1290,1291,1293,1297,1304,1307,1315,1316,1428,1468,1501,1566,
1568,1668,1671,1673,1784,1794,1795,1893],[1,2,3,4,5,7,9,10,14,15,16,17,20,21,
22,23,24,25,28,29,30,33,36,37,38,41,42,44,45,50,51,52,54,55,60,62,63,81,84,85,
88,89,94,98,100,101,103,105,107,113,114,116,119,120,122,125,129,132,133,135,
137,138,140,144,149,154,157,159,161,163,174,175,177,178,179,181,187,190,192,
194,195,219,221,223,226,229,231,233,235,237,242,243,266,267,287,289,305,306,
311,312,315,316,319,331,333,339,341,358,361,365,366,368,381,384,387,388,393,
395,396,398,416,418,423,424,427,429,431,436,439,457,458,461,467,468,548,551,
553,556,558,569,571,579,583,584,585,587,590,641,642,645,675,678,680,709,712,
713,721,744,745,754,769,772,777,779,781,784,787,797,803,810,820,822,824,928,
936,946,948,954,956,959,963,964,966,969,1007,1073,1091,1092,1101,1103,1111,
1112,1134,1136,1154,1156,1263,1275,1276,1298,1301,1304,1312,1316,1317,1320,
1429,1459,1501,1547,1577,1670,1673,1674,1789,1792,1795,1894],[1,2,3,4,5,8,9,
10,14,15,16,17,20,21,22,23,24,25,28,29,30,33,36,37,38,41,43,44,45,50,51,52,54,
55,60,61,64,81,84,85,88,89,94,99,100,101,103,105,107,113,114,116,119,120,122,
125,129,132,133,135,137,139,140,144,149,154,157,160,162,164,174,176,177,178,
180,182,188,189,191,193,195,219,221,223,226,229,231,233,235,237,242,243,265,
267,287,289,305,306,311,312,315,316,319,332,333,339,341,358,361,365,366,368,
381,384,387,388,393,395,397,399,416,418,423,425,426,430,432,437,438,459,460,
461,467,469,548,551,553,556,558,569,571,579,583,584,585,587,590,641,643,644,
675,678,680,709,712,713,722,744,746,754,769,773,778,780,782,783,788,798,804,
810,821,823,824,928,936,946,948,954,956,959,963,964,966,969,1008,1073,1093,
1094,1102,1104,1113,1114,1135,1136,1154,1156,1263,1275,1276,1298,1301,1304,
1312,1316,1318,1319,1430,1459,1501,1547,1578,1670,1673,1675,1789,1793,1794,
1895],[1,3,4,7,9,10,20,22,23,26,27,29,30,33,35,37,41,42,45,51,53,55,60,62,63,
113,115,116,125,127,128,130,131,133,135,137,138,141,142,143,144,157,159,161,
163,173,175,178,179,187,190,192,193,195,223,225,227,228,230,233,235,242,243,
266,267,358,360,362,363,364,366,368,391,392,393,395,396,398,405,406,408,409,
411,412,413,419,420,422,424,426,429,432,436,439,453,454,465,467,468,554,555,
558,564,566,572,574,584,586,587,590,641,642,645,743,744,745,750,751,755,756,
774,775,776,777,779,782,783,787,793,795,799,801,818,820,823,824,931,956,958,
960,961,962,964,966,969,1007,1100,1101,1104,1115,1117,1119,1121,1149,1152,
1153,1156,1302,1303,1304,1308,1309,1313,1314,1316,1317,1320,1437,1469,1501,
1573,1577,1672,1673,1674,1791,1792,1794,1896],[1,3,4,8,9,10,20,22,23,26,27,29,
30,33,35,37,41,43,44,51,53,55,60,61,64,113,115,116,125,127,128,130,131,133,
135,137,139,141,142,143,144,157,160,162,164,173,176,177,180,188,189,191,194,
195,223,225,227,228,230,233,235,242,243,265,267,358,360,362,363,364,366,368,
391,392,393,395,397,399,405,406,408,409,411,412,413,419,420,422,425,427,430,
431,437,438,455,456,465,467,469,554,555,558,564,566,572,574,584,586,587,590,
641,643,644,743,744,746,750,751,755,756,774,775,776,778,780,781,784,788,794,
796,800,802,818,821,822,824,931,956,958,960,961,962,964,966,969,1008,1100,
1102,1103,1116,1118,1120,1122,1150,1152,1153,1156,1302,1303,1304,1308,1309,
1313,1314,1316,1318,1319,1438,1469,1501,1573,1578,1672,1673,1675,1791,1793,
1795,1897],[1,3,4,7,11,13,20,22,23,26,27,29,30,33,35,37,41,42,45,58,67,68,75,
78,79,113,115,116,125,127,128,130,131,133,135,137,138,141,142,143,144,157,159,
161,163,173,175,178,179,187,190,192,193,205,244,248,249,252,253,254,255,260,
262,269,281,358,360,362,363,364,366,368,391,392,393,395,396,398,405,406,408,
409,411,412,413,419,420,422,424,426,429,432,436,439,453,454,511,515,517,592,
594,595,601,616,617,620,621,632,634,638,649,651,653,743,744,745,750,751,755,
756,774,775,776,777,779,782,783,787,793,795,799,801,861,889,897,898,970,975,
981,983,985,986,988,989,992,1010,1100,1101,1104,1115,1117,1119,1121,1214,1217,
1218,1239,1321,1323,1324,1334,1335,1340,1341,1346,1348,1350,1437,1511,1515,
1579,1583,1682,1684,1686,1798,1801,1803,1898],[1,3,4,8,11,13,20,22,23,26,27,
29,30,33,35,37,41,43,44,58,67,68,75,76,77,113,115,116,125,127,128,130,131,133,
135,137,139,141,142,143,144,157,160,162,164,173,176,177,180,188,189,191,194,
205,244,248,249,252,253,254,255,260,262,269,280,358,360,362,363,364,366,368,
391,392,393,395,397,399,405,406,408,409,411,412,413,419,420,422,425,427,430,
431,437,438,455,456,511,515,516,592,594,595,601,616,617,620,621,632,634,638,
650,651,654,743,744,746,750,751,755,756,774,775,776,778,780,781,784,788,794,
796,800,802,861,889,895,896,970,975,981,983,985,986,988,989,992,1012,1100,
1102,1103,1116,1118,1120,1122,1214,1217,1218,1238,1321,1323,1324,1334,1335,
1340,1341,1347,1348,1351,1438,1511,1515,1579,1585,1682,1684,1687,1798,1802,
1804,1899],[1,3,4,5,6,7,11,13,21,22,23,24,25,26,28,29,30,31,32,33,36,37,38,39,
40,41,42,44,45,58,68,69,70,71,75,78,79,118,119,120,121,122,123,124,125,127,
129,131,133,134,137,138,140,141,143,145,146,147,149,150,151,152,154,156,157,
158,159,161,163,164,174,175,178,179,181,185,187,190,192,194,205,247,249,250,
252,255,257,258,260,262,269,275,276,281,371,372,373,375,377,378,379,381,383,
384,386,387,389,390,391,393,394,396,399,405,407,409,416,417,422,424,426,429,
431,433,435,436,439,440,442,457,458,513,515,517,601,608,611,612,615,620,623,
624,627,633,634,635,638,649,651,653,757,758,759,761,763,764,765,768,769,772,
774,777,780,781,783,785,793,797,801,861,893,896,897,980,982,983,985,987,989,
990,992,998,999,1003,1010,1106,1107,1109,1111,1114,1115,1118,1215,1218,1219,
1243,1330,1331,1333,1337,1339,1340,1342,1346,1348,1350,1439,1511,1518,1582,
1583,1683,1684,1686,1800,1801,1804,1900],[1,3,4,5,6,8,11,13,21,22,23,24,25,26,
28,29,30,31,32,33,36,37,38,39,40,41,43,44,45,58,68,69,70,71,75,76,77,118,119,
120,121,122,123,124,125,127,129,131,133,134,137,139,140,141,143,145,146,147,
149,150,151,152,154,156,157,158,160,161,162,164,174,176,177,180,182,184,188,
189,191,193,205,247,249,250,252,255,257,258,260,262,269,275,276,280,371,372,
373,375,377,378,379,381,383,384,386,387,389,390,391,393,394,397,398,405,407,
409,416,417,422,425,427,430,432,433,435,437,438,442,443,459,460,513,515,516,
601,608,611,612,615,620,623,624,627,633,634,635,638,650,651,654,757,758,760,
761,763,764,765,768,769,773,774,778,779,782,784,786,794,798,802,861,893,895,
898,980,982,983,985,987,989,990,992,998,999,1003,1012,1106,1108,1110,1112,
1113,1116,1117,1215,1218,1219,1242,1330,1331,1333,1337,1339,1340,1342,1347,
1348,1351,1440,1511,1518,1582,1585,1683,1684,1687,1800,1802,1803,1901],[1,3,4,
11,22,25,26,29,34,47,48,49,58,67,68,126,127,132,209,210,211,212,215,247,248,
251,260,285,400,526,528,530,533,534,535,538,601,610,656,665,666,667,909,911,
914,984,1014,1015,1051,1061,1062,1063,1064,1253,1352,1353,1354,1404,1422,1425,
1587,1628,1647,1689,1806,1902],[1,3,4,9,20,21,22,23,34,47,48,49,51,53,55,113,
118,126,209,210,211,212,215,224,228,231,242,284,359,525,526,527,532,534,535,
538,560,584,656,662,663,664,906,909,910,957,1014,1015,1052,1057,1058,1059,
1060,1250,1352,1353,1354,1408,1418,1419,1587,1636,1642,1690,1807,1903],[1,2,3,
4,5,9,10,11,12,13,14,15,22,24,27,28,30,36,50,51,52,53,54,55,56,57,58,59,60,65,
66,67,68,69,72,73,75,82,87,89,129,130,195,196,197,198,199,200,201,202,203,204,
205,206,207,208,218,220,221,226,227,228,229,234,235,236,238,239,246,248,250,
253,255,270,271,273,294,461,462,463,464,465,466,467,470,471,472,473,474,475,
476,477,478,479,480,481,482,484,485,486,487,488,489,490,491,492,493,496,502,
507,511,515,519,521,522,523,524,543,544,547,568,569,572,573,602,617,657,658,
659,660,661,807,808,809,810,812,813,815,816,818,831,832,833,836,837,841,842,
843,844,845,846,847,848,849,850,851,852,853,855,863,867,869,889,900,901,925,
1018,1019,1020,1021,1022,1023,1024,1025,1026,1027,1032,1033,1034,1035,1036,
1037,1040,1041,1042,1128,1129,1132,1133,1143,1144,1179,1180,1184,1185,1198,
1257,1359,1360,1361,1362,1363,1366,1367,1368,1369,1370,1371,1372,1379,1380,
1381,1382,1384,1385,1386,1387,1450,1452,1526,1527,1528,1529,1595,1596,1597,
1599,1600,1602,1603,1616,1619,1691,1692,1694,1695,1696,1697,1698,1700,1737,
1808,1809,1810,1817,1818,1904],[1,2,3,4,7,8,9,10,11,12,13,14,15,19,22,42,43,
44,45,50,51,53,54,55,57,58,59,60,61,62,63,64,67,68,73,75,76,77,78,79,82,96,97,
98,99,138,139,195,196,197,198,199,200,201,202,203,204,205,206,207,208,218,220,
221,228,229,239,240,241,248,263,264,265,266,280,281,299,461,462,463,464,465,
466,467,468,469,470,474,476,477,480,481,484,485,486,488,489,491,493,494,495,
496,497,498,499,500,502,503,504,505,506,507,508,509,511,515,516,517,519,523,
524,544,581,657,658,659,660,661,807,808,809,810,812,813,815,816,817,818,819,
820,821,822,823,833,847,863,864,865,866,867,868,870,871,872,873,874,879,880,
882,883,884,889,895,896,897,898,902,904,1018,1019,1020,1021,1022,1024,1026,
1027,1028,1029,1030,1031,1033,1036,1037,1040,1042,1043,1044,1045,1046,1129,
1133,1134,1135,1147,1148,1149,1150,1223,1224,1226,1227,1238,1239,1257,1359,
1360,1361,1362,1363,1364,1365,1366,1373,1374,1375,1376,1382,1391,1392,1456,
1526,1527,1529,1530,1531,1595,1601,1691,1692,1693,1696,1701,1702,1703,1704,
1809,1811,1812,1813,1814,1820,1821,1905],[1,2,3,4,6,9,10,11,12,13,14,15,22,32,
40,41,50,51,53,54,55,57,58,59,60,67,68,70,71,73,74,75,80,82,95,136,137,195,
196,197,198,199,200,201,202,203,204,205,206,207,208,218,220,221,228,229,239,
248,257,259,274,276,278,298,461,462,463,464,465,466,467,470,474,476,477,480,
481,483,484,485,486,488,489,491,493,496,501,502,507,510,511,512,513,514,515,
518,519,520,523,524,544,619,657,658,659,660,661,807,808,809,810,812,813,815,
816,818,833,840,847,854,857,858,863,867,875,876,885,886,888,889,890,891,893,
894,903,905,1018,1019,1020,1021,1022,1024,1026,1027,1033,1036,1037,1038,1039,
1040,1042,1047,1048,1129,1133,1146,1190,1191,1225,1228,1237,1257,1359,1360,
1361,1362,1363,1366,1382,1383,1388,1389,1390,1393,1455,1526,1527,1529,1532,
1595,1620,1691,1692,1696,1699,1705,1706,1707,1809,1815,1816,1822,1823,1906],[
1,2,4,6,7,8,9,10,11,12,13,15,19,40,41,42,43,45,46,50,54,55,57,59,60,61,62,63,
64,68,70,71,73,74,75,76,77,78,79,80,95,96,99,183,184,187,188,195,196,197,198,
199,200,201,202,203,204,205,206,207,208,221,239,240,241,263,264,265,266,276,
277,278,279,280,281,282,283,334,461,462,463,464,466,467,468,469,477,481,483,
484,485,486,488,489,491,493,494,495,496,497,498,499,500,501,502,503,504,505,
506,507,508,509,510,512,513,514,515,516,517,518,519,520,523,524,581,655,657,
658,659,660,661,810,813,815,816,817,819,820,821,823,857,858,863,864,865,866,
867,868,870,871,872,873,875,877,878,879,880,881,882,883,884,885,886,887,891,
892,893,894,895,897,898,899,902,905,1018,1019,1020,1024,1026,1027,1028,1029,
1030,1031,1037,1038,1039,1040,1042,1043,1044,1045,1046,1047,1048,1135,1146,
1147,1223,1226,1227,1228,1229,1233,1234,1235,1236,1240,1242,1257,1361,1363,
1364,1365,1373,1374,1375,1376,1390,1391,1392,1393,1394,1395,1396,1397,1521,
1526,1529,1530,1531,1532,1601,1623,1692,1693,1701,1702,1704,1705,1706,1708,
1811,1813,1815,1827,1828,1831,1832,1907],[1,2,4,6,7,8,9,10,11,12,13,15,19,40,
41,42,43,44,46,50,54,55,57,59,60,61,62,63,64,68,70,71,73,74,75,76,77,78,79,80,
95,96,98,183,185,190,191,195,196,197,198,199,200,201,202,203,204,205,206,207,
208,221,239,240,241,263,264,265,266,276,277,278,279,280,281,282,283,336,461,
462,463,464,466,467,468,469,477,481,483,484,485,486,488,489,491,493,494,495,
496,497,498,499,500,501,502,503,504,505,506,507,508,509,510,512,513,514,515,
516,517,518,519,520,523,524,581,655,657,658,659,660,661,810,813,815,816,817,
819,820,821,822,857,858,863,864,865,866,867,868,870,871,872,873,874,875,876,
877,878,879,880,881,882,883,886,887,891,892,893,894,895,896,897,899,903,904,
1018,1019,1020,1024,1026,1027,1028,1029,1030,1031,1037,1038,1039,1040,1042,
1043,1044,1045,1046,1047,1048,1134,1146,1147,1223,1224,1225,1226,1229,1230,
1231,1232,1233,1240,1243,1257,1361,1363,1364,1365,1373,1374,1375,1376,1390,
1391,1392,1393,1394,1395,1396,1397,1520,1526,1529,1530,1531,1532,1601,1623,
1692,1693,1701,1702,1703,1705,1707,1708,1811,1814,1816,1827,1829,1830,1833,
1908],[1,2,4,6,8,9,10,11,12,13,15,40,41,43,44,45,50,54,55,57,59,60,61,64,68,
70,71,73,74,75,76,77,80,95,97,99,184,186,191,192,195,196,197,198,199,200,201,
202,203,204,205,206,207,208,221,239,265,276,278,280,337,461,462,463,464,466,
467,469,477,481,483,484,485,486,488,489,491,493,496,497,499,501,502,503,504,
506,507,509,510,512,513,514,515,516,518,519,520,523,524,657,658,659,660,661,
810,813,815,816,821,822,823,857,858,863,867,871,874,875,876,879,882,883,884,
886,891,893,894,895,896,898,902,903,904,1018,1019,1020,1024,1026,1027,1029,
1030,1037,1038,1039,1040,1042,1043,1044,1047,1048,1135,1146,1148,1225,1227,
1230,1236,1241,1242,1246,1257,1361,1363,1376,1390,1391,1393,1526,1529,1531,
1532,1692,1702,1703,1704,1705,1707,1812,1813,1816,1832,1833,1834,1836,1909],[
1,2,4,6,7,9,10,11,12,13,15,40,41,42,44,45,50,54,55,57,59,60,62,63,68,70,71,73,
74,75,78,79,80,95,97,98,185,186,187,189,195,196,197,198,199,200,201,202,203,
204,205,206,207,208,221,239,266,276,278,281,335,461,462,463,464,466,467,468,
477,481,483,484,485,486,488,489,491,493,494,495,496,498,500,501,502,505,507,
508,510,512,513,514,515,517,518,519,520,523,524,657,658,659,660,661,810,813,
815,816,820,822,823,857,858,863,867,870,872,873,874,875,880,884,885,886,891,
893,894,896,897,898,902,904,905,1018,1019,1020,1024,1026,1027,1028,1031,1037,
1038,1039,1040,1042,1045,1046,1047,1048,1134,1146,1148,1224,1228,1232,1234,
1241,1243,1248,1257,1361,1363,1375,1390,1392,1393,1526,1529,1530,1532,1692,
1701,1703,1704,1705,1706,1812,1814,1815,1828,1830,1834,1835,1910],[1,3,4,5,6,
9,10,11,12,13,22,24,27,28,30,32,36,40,51,52,53,55,56,58,60,65,66,67,68,69,70,
71,72,73,74,75,80,129,130,136,148,151,195,196,197,198,199,200,201,202,203,204,
205,206,207,208,226,227,228,234,235,236,238,246,248,250,253,255,257,259,270,
271,273,274,276,278,415,465,467,470,471,472,473,474,475,476,477,478,479,480,
481,482,483,485,486,487,490,491,492,493,496,501,502,507,510,511,512,513,514,
515,518,519,520,521,522,523,524,568,572,602,605,607,617,619,625,627,657,658,
659,660,661,818,831,832,833,836,837,840,841,842,843,844,845,846,847,848,849,
850,851,852,853,854,855,857,869,875,886,888,889,890,891,893,894,900,901,994,
1021,1022,1023,1024,1025,1027,1032,1033,1034,1035,1036,1037,1038,1039,1040,
1041,1042,1047,1048,1179,1180,1182,1184,1185,1190,1196,1198,1199,1201,1237,
1257,1366,1367,1368,1369,1370,1371,1372,1379,1380,1381,1382,1383,1384,1385,
1386,1387,1388,1389,1390,1393,1492,1497,1527,1528,1529,1532,1602,1603,1616,
1617,1618,1619,1620,1621,1622,1694,1695,1696,1697,1698,1699,1700,1705,1757,
1817,1818,1819,1822,1824,1911],[1,3,4,5,9,10,11,12,13,22,24,28,36,41,51,52,53,
55,56,58,60,65,66,67,68,69,72,73,75,129,137,174,195,196,197,198,199,200,201,
202,203,204,205,206,207,208,226,228,234,236,238,246,248,250,270,271,273,416,
465,467,470,471,472,473,474,475,476,477,478,479,480,481,482,485,486,487,490,
491,492,493,496,502,507,511,515,519,521,522,523,524,568,602,657,658,659,660,
661,818,831,833,837,841,842,843,844,845,846,847,848,849,850,852,855,858,869,
876,885,889,900,901,903,905,1021,1022,1023,1024,1025,1027,1032,1033,1034,1035,
1036,1037,1040,1041,1042,1179,1185,1191,1198,1202,1244,1245,1257,1366,1367,
1368,1370,1372,1379,1380,1381,1382,1384,1385,1493,1527,1528,1529,1603,1616,
1694,1696,1698,1700,1706,1707,1817,1823,1825,1826,1912],[1,3,4,9,10,11,12,13,
22,27,30,41,51,53,55,58,60,67,68,73,75,130,137,195,196,197,198,199,200,201,
202,203,204,205,206,207,208,227,228,235,248,253,255,419,465,467,470,474,476,
477,480,481,485,486,491,493,496,502,507,511,515,519,523,524,572,617,657,658,
659,660,661,818,832,833,836,847,851,853,858,876,885,889,903,905,1021,1022,
1024,1027,1033,1036,1037,1040,1042,1180,1184,1191,1257,1366,1369,1371,1382,
1386,1387,1496,1527,1529,1602,1619,1695,1696,1697,1706,1707,1818,1823,1913],[
1,3,4,6,7,8,9,10,11,12,13,22,32,40,42,43,44,45,46,51,53,55,58,60,61,62,63,64,
67,68,70,71,73,74,75,76,77,78,79,80,136,138,139,183,184,185,186,195,196,197,
198,199,200,201,202,203,204,205,206,207,208,228,248,257,259,265,266,274,276,
277,278,279,280,281,282,283,428,465,467,468,469,470,474,476,477,480,481,483,
485,486,491,493,494,495,496,497,498,499,500,501,502,503,504,505,506,507,508,
509,510,511,512,513,514,515,516,517,518,519,520,523,524,619,655,657,658,659,
660,661,818,820,821,822,823,833,840,847,854,857,870,871,872,873,874,875,877,
878,879,880,881,882,883,884,886,887,888,889,890,891,892,893,894,895,896,897,
898,899,902,904,1021,1022,1024,1027,1028,1029,1030,1031,1033,1036,1037,1038,
1039,1040,1042,1043,1044,1045,1046,1047,1048,1149,1150,1190,1229,1232,1233,
1236,1237,1238,1239,1240,1241,1242,1243,1257,1366,1375,1376,1382,1383,1388,
1389,1390,1391,1392,1393,1394,1395,1396,1397,1522,1527,1529,1530,1531,1532,
1620,1623,1696,1699,1701,1702,1703,1704,1705,1708,1820,1821,1822,1827,1830,
1832,1834,1914],[1,3,4,7,9,10,11,12,13,22,41,42,45,51,53,55,58,60,62,63,67,68,
73,75,78,79,137,138,187,190,192,195,196,197,198,199,200,201,202,203,204,205,
206,207,208,228,248,266,281,429,465,467,468,470,474,476,477,480,481,485,486,
491,493,494,495,496,498,500,502,505,507,508,511,515,517,519,523,524,657,658,
659,660,661,818,820,823,833,847,858,870,872,873,876,880,884,885,889,897,898,
902,903,905,1021,1022,1024,1027,1028,1031,1033,1036,1037,1040,1042,1045,1046,
1149,1191,1231,1234,1239,1246,1257,1366,1375,1382,1392,1527,1529,1530,1696,
1701,1704,1706,1707,1820,1823,1828,1829,1836,1915],[1,3,4,8,9,10,11,12,13,22,
41,43,44,51,53,55,58,60,61,64,67,68,73,75,76,77,137,139,188,189,191,195,196,
197,198,199,200,201,202,203,204,205,206,207,208,228,248,265,280,430,465,467,
469,470,474,476,477,480,481,485,486,491,493,496,497,499,502,503,504,506,507,
509,511,515,516,519,523,524,657,658,659,660,661,818,821,822,833,847,858,871,
874,876,879,882,883,885,889,895,896,903,904,905,1021,1022,1024,1027,1029,1030,
1033,1036,1037,1040,1042,1043,1044,1150,1191,1230,1235,1238,1248,1257,1366,
1376,1382,1391,1527,1529,1531,1696,1702,1703,1706,1707,1821,1823,1831,1833,
1835,1916],[1,3,4,9,10,11,12,13,22,41,51,53,55,58,60,67,68,73,75,137,193,195,
196,197,198,199,200,201,202,203,204,205,206,207,208,228,248,432,465,467,470,
474,476,477,480,481,485,486,491,493,496,502,507,511,515,519,523,524,657,658,
659,660,661,818,833,847,858,876,885,889,903,905,1021,1022,1024,1027,1033,1036,
1037,1040,1042,1191,1249,1257,1366,1382,1527,1529,1696,1706,1707,1823,1837,
1917],[1,3,4,9,10,11,12,13,22,41,51,53,55,58,60,67,68,73,75,137,194,195,196,
197,198,199,200,201,202,203,204,205,206,207,208,228,248,431,465,467,470,474,
476,477,480,481,485,486,491,493,496,502,507,511,515,519,523,524,657,658,659,
660,661,818,833,847,858,876,885,889,903,905,1021,1022,1024,1027,1033,1036,
1037,1040,1042,1191,1247,1257,1366,1382,1527,1529,1696,1706,1707,1823,1838,
1918],[1,4,5,7,9,10,11,12,13,36,41,42,52,55,56,60,62,63,65,66,68,69,72,73,75,
78,79,174,190,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,238,
266,271,273,281,457,467,468,471,472,473,475,477,478,479,481,482,485,486,487,
490,491,492,493,494,495,496,498,500,502,505,507,508,515,517,519,521,522,523,
524,657,658,659,660,661,820,843,845,846,850,855,858,869,870,872,873,876,880,
897,900,901,903,1023,1024,1025,1027,1028,1031,1032,1034,1035,1037,1040,1041,
1042,1045,1046,1202,1231,1244,1247,1257,1372,1375,1381,1385,1392,1528,1529,
1530,1700,1701,1707,1825,1829,1838,1919],[1,4,5,9,10,11,12,13,36,41,45,52,55,
56,60,65,66,68,69,72,73,75,174,192,194,195,196,197,198,199,200,201,202,203,
204,205,206,207,208,238,271,273,458,467,471,472,473,475,477,478,479,481,482,
485,486,487,490,491,492,493,496,502,507,515,519,521,522,523,524,657,658,659,
660,661,823,843,845,846,850,855,858,869,876,884,898,900,901,902,903,1023,1024,
1025,1027,1032,1034,1035,1037,1040,1041,1042,1202,1244,1246,1247,1257,1372,
1381,1385,1523,1528,1529,1700,1704,1707,1825,1836,1838,1920],[1,4,5,8,9,10,11,
12,13,36,41,43,52,55,56,60,61,64,65,66,68,69,72,73,75,76,77,174,188,193,195,
196,197,198,199,200,201,202,203,204,205,206,207,208,238,265,271,273,280,459,
467,469,471,472,473,475,477,478,479,481,482,485,486,487,490,491,492,493,496,
497,499,502,503,504,506,507,509,515,516,519,521,522,523,524,657,658,659,660,
661,821,843,845,846,850,855,858,869,871,879,882,883,885,895,900,901,905,1023,
1024,1025,1027,1029,1030,1032,1034,1035,1037,1040,1041,1042,1043,1044,1202,
1235,1245,1249,1257,1372,1376,1381,1385,1391,1528,1529,1531,1700,1702,1706,
1826,1831,1837,1921],[1,4,5,9,10,11,12,13,36,41,44,52,55,56,60,65,66,68,69,72,
73,75,174,189,193,195,196,197,198,199,200,201,202,203,204,205,206,207,208,238,
271,273,460,467,471,472,473,475,477,478,479,481,482,485,486,487,490,491,492,
493,496,502,507,515,519,521,522,523,524,657,658,659,660,661,822,843,845,846,
850,855,858,869,874,885,896,900,901,904,905,1023,1024,1025,1027,1032,1034,
1035,1037,1040,1041,1042,1202,1245,1248,1249,1257,1372,1381,1385,1524,1528,
1529,1700,1703,1706,1826,1835,1837,1922],[1,4,5,8,12,34,35,36,38,41,43,45,48,
66,72,73,165,167,171,172,173,174,182,188,192,193,194,207,212,213,214,268,273,
444,451,452,454,455,458,459,521,523,535,536,537,646,647,648,806,900,902,903,
917,1009,1056,1244,1246,1247,1417,1523,1709,1839,1840,1841,1923],[1,2,4,6,7,8,
10,13,15,18,19,33,34,37,40,41,42,43,44,45,46,49,57,59,60,61,62,63,64,74,75,76,
77,78,79,80,92,93,95,96,98,99,109,110,111,112,157,159,160,162,163,166,168,169,
171,175,176,179,180,183,184,185,187,188,190,191,204,215,216,217,239,240,241,
263,264,265,266,267,269,277,278,279,280,281,282,283,321,323,325,327,329,334,
336,351,352,353,354,436,437,445,446,489,505,506,507,508,509,510,538,539,540,
578,581,582,640,641,642,643,644,645,649,650,651,652,653,654,655,723,866,867,
868,880,881,882,883,884,885,886,887,918,942,943,944,950,951,952,1005,1006,
1007,1008,1010,1011,1012,1013,1050,1053,1226,1227,1228,1233,1234,1235,1236,
1284,1292,1401,1402,1403,1410,1411,1412,1521,1625,1640,1710,1842,1843,1844,
1924],[1,2,4,6,7,8,10,13,15,18,19,33,34,37,40,41,42,43,44,45,46,48,57,59,60,
61,62,63,64,74,75,76,77,78,79,80,92,93,95,96,98,99,109,110,111,112,157,159,
160,162,163,166,168,169,171,175,176,179,180,183,184,185,187,188,190,191,202,
212,213,214,239,240,241,263,264,265,266,267,269,277,278,279,280,281,282,283,
321,323,325,327,329,334,336,351,352,353,354,436,437,445,446,488,496,497,498,
499,500,501,535,536,537,578,581,582,640,641,642,643,644,645,649,650,651,652,
653,654,655,723,863,864,865,871,872,873,874,875,876,877,878,917,942,943,944,
950,951,952,1005,1006,1007,1008,1010,1011,1012,1013,1049,1054,1223,1224,1225,
1229,1230,1231,1232,1284,1292,1398,1399,1400,1413,1414,1415,1520,1624,1641,
1711,1845,1846,1847,1925],[1,4,5,7,12,34,35,36,38,41,42,44,49,66,72,73,165,
167,168,172,173,174,181,189,190,193,194,208,215,216,217,268,273,444,449,452,
453,456,457,460,522,524,538,539,540,646,647,648,805,901,904,905,918,1009,1055,
1245,1248,1249,1416,1524,1712,1848,1849,1850,1926],[1,2,3,4,5,9,11,14,15,16,
17,20,21,22,23,24,26,27,28,29,30,36,47,50,51,53,54,55,58,65,67,68,69,81,82,83,
84,86,87,88,89,100,101,102,103,113,115,116,118,121,122,127,129,130,141,142,
197,209,210,211,218,220,221,228,229,242,246,248,250,260,270,271,286,288,289,
292,294,301,302,305,307,363,375,462,470,480,481,482,526,532,544,576,579,583,
584,586,587,601,602,632,633,634,671,807,812,813,833,837,851,852,853,855,910,
935,936,938,939,945,946,953,961,981,982,1051,1052,1129,1143,1144,1184,1185,
1264,1271,1404,1405,1407,1408,1452,1627,1633,1713,1851,1852,1927],[1,2,3,4,5,
6,9,11,14,16,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,38,39,47,50,51,52,
53,54,55,56,58,65,67,68,69,70,71,81,84,85,86,87,90,91,100,102,104,105,106,107,
113,114,115,116,117,119,120,121,123,124,127,130,134,141,142,145,147,148,149,
152,153,154,197,209,210,211,219,220,222,228,232,236,237,242,248,256,258,260,
270,272,274,275,287,288,290,309,310,317,318,338,339,342,343,363,369,383,389,
462,470,472,480,481,482,483,526,532,533,550,576,579,583,584,585,586,587,588,
601,608,618,632,633,634,635,677,811,812,814,833,839,844,851,852,853,854,856,
913,937,938,940,945,947,948,954,955,961,967,981,990,997,998,1051,1052,1140,
1143,1145,1184,1188,1199,1200,1280,1285,1404,1405,1406,1407,1408,1409,1463,
1631,1634,1713,1851,1852,1853,1928],[1,3,4,9,11,20,22,23,26,27,29,30,33,35,47,
51,53,55,58,67,68,113,115,116,125,127,128,130,131,141,142,143,197,209,210,211,
223,228,230,242,244,248,249,260,358,360,362,363,364,391,392,470,480,481,525,
526,527,555,584,586,587,592,601,632,634,743,825,833,834,851,853,906,956,961,
962,970,981,983,1051,1052,1158,1184,1186,1303,1321,1404,1408,1473,1626,1635,
1713,1852,1929],[1,3,4,9,11,20,21,22,23,25,26,27,29,30,34,47,51,53,55,58,67,
68,113,115,116,118,119,126,127,130,132,141,142,197,209,210,211,224,228,231,
242,247,248,251,260,359,363,365,372,374,382,400,470,480,481,526,534,560,584,
586,587,601,610,632,634,748,827,833,838,851,853,909,957,961,963,980,981,984,
1051,1052,1165,1184,1187,1306,1329,1404,1408,1479,1628,1636,1713,1852,1930],[
1,3,4,9,11,20,22,23,26,27,29,30,35,37,47,51,53,55,58,67,68,113,115,116,127,
128,130,133,135,141,142,144,197,209,210,211,225,228,233,242,248,252,254,260,
360,363,366,405,406,408,411,470,480,481,526,528,530,564,584,586,587,601,616,
632,634,750,829,833,835,851,853,911,958,961,964,981,985,988,1051,1052,1173,
1184,1189,1308,1334,1404,1408,1487,1629,1637,1713,1852,1931],[1,3,4,9,11,20,
22,23,26,27,29,30,41,47,51,53,55,58,67,68,113,115,116,127,130,131,135,137,141,
142,197,209,210,211,227,228,235,242,248,253,255,260,362,363,368,406,409,419,
420,470,480,481,526,529,531,572,584,586,587,601,617,632,634,755,832,833,836,
851,853,858,912,960,961,966,981,986,989,1051,1052,1180,1184,1191,1313,1335,
1404,1408,1496,1630,1638,1713,1852,1932],[1,3,4,5,6,9,11,20,22,23,24,25,26,27,
28,29,30,31,32,36,39,40,47,51,52,53,55,56,58,67,68,70,71,113,114,115,116,117,
127,129,130,132,134,136,140,141,142,146,147,148,150,151,152,153,155,156,197,
209,210,211,226,228,234,236,238,242,248,257,259,260,274,276,361,363,367,369,
370,407,410,415,421,433,434,470,472,480,481,483,526,533,568,584,585,586,587,
588,601,608,619,632,634,635,753,831,833,840,844,845,851,853,854,857,914,959,
961,965,967,968,981,987,991,997,999,1051,1052,1179,1184,1190,1199,1201,1311,
1336,1404,1406,1408,1409,1492,1632,1639,1713,1852,1853,1933],[1,3,4,5,9,11,12,
20,21,22,23,24,25,26,28,29,34,35,36,47,51,52,58,65,67,68,69,72,113,114,118,
121,122,126,127,128,129,132,140,165,196,209,210,211,224,225,226,242,244,245,
246,247,248,249,250,251,260,261,268,270,271,284,359,360,361,375,376,400,401,
471,474,475,525,526,527,532,534,559,584,585,591,592,593,598,601,602,603,610,
611,633,636,646,662,747,828,841,859,906,909,910,957,958,959,970,971,972,982,
984,1051,1057,1060,1168,1203,1204,1205,1250,1305,1322,1326,1404,1405,1419,
1502,1503,1533,1626,1627,1628,1642,1677,1714,1758,1855,1934],[1,3,4,9,11,12,
20,22,23,26,27,29,30,35,37,47,51,53,55,58,67,68,73,113,115,116,127,128,130,
133,135,141,142,144,196,209,210,211,225,228,233,242,244,245,248,249,252,253,
254,255,260,261,268,284,360,363,366,405,406,408,411,474,476,477,525,526,527,
528,529,530,531,564,584,586,587,592,594,595,599,601,616,617,620,621,662,663,
664,750,828,847,859,906,907,908,911,912,915,916,958,961,964,970,971,975,985,
986,1051,1058,1060,1169,1204,1206,1207,1251,1308,1323,1404,1419,1420,1421,
1502,1506,1533,1626,1629,1630,1643,1678,1715,1759,1855,1935],[1,3,4,5,6,9,11,
12,20,21,22,23,25,26,28,29,31,32,35,39,40,47,51,56,58,65,66,67,68,69,70,71,
113,117,119,121,123,127,128,132,134,136,146,152,154,155,196,209,210,211,225,
231,234,242,244,245,248,249,256,257,258,259,260,261,268,270,272,274,275,276,
284,360,365,367,383,385,410,414,474,478,479,525,526,527,532,533,567,584,588,
592,596,597,600,601,618,619,622,623,633,635,662,752,828,848,859,906,913,914,
958,963,965,970,971,976,990,991,1051,1059,1060,1172,1204,1208,1209,1252,1310,
1325,1404,1405,1406,1419,1502,1507,1533,1626,1631,1632,1644,1680,1716,1760,
1855,1936],[1,3,4,5,6,11,13,21,22,24,25,26,28,29,31,32,36,37,39,47,58,65,67,
68,69,70,71,74,118,119,121,122,123,127,129,133,134,147,150,152,154,205,209,
210,211,246,247,248,250,252,254,256,257,258,260,262,269,270,271,272,274,275,
285,372,375,378,383,384,405,407,511,512,513,526,528,530,532,533,601,602,604,
606,608,609,612,616,618,624,626,633,635,665,761,861,888,910,911,913,980,982,
985,987,990,992,993,1051,1061,1062,1213,1214,1215,1219,1255,1331,1337,1404,
1405,1406,1422,1511,1512,1534,1627,1629,1631,1645,1683,1717,1761,1856,1937],[
1,3,4,11,13,20,22,23,26,27,29,30,35,37,47,58,67,68,75,113,115,116,127,128,130,
133,135,141,142,144,205,209,210,211,244,248,249,252,253,254,255,260,262,269,
285,360,363,366,405,406,408,411,511,515,525,526,527,528,529,530,531,592,594,
595,601,616,617,620,621,632,634,638,665,666,667,750,861,889,906,907,908,911,
912,915,916,970,975,981,985,986,988,992,1051,1061,1063,1214,1217,1218,1251,
1323,1334,1404,1422,1423,1424,1511,1515,1534,1626,1629,1630,1646,1682,1718,
1759,1856,1938],[1,3,4,6,11,13,22,25,26,29,32,34,37,40,47,58,67,68,70,71,80,
126,127,132,133,136,152,155,166,205,209,210,211,247,248,251,252,254,257,259,
260,262,269,274,276,285,400,402,405,410,423,511,513,518,526,528,530,533,534,
601,610,612,614,616,619,628,630,635,639,652,665,789,861,890,909,911,914,984,
985,991,992,1001,1051,1061,1064,1214,1219,1220,1253,1343,1349,1404,1406,1422,
1511,1516,1534,1628,1629,1632,1647,1685,1719,1763,1856,1939],[1,2,3,4,5,9,11,
12,14,15,16,17,20,21,22,23,24,25,26,29,35,47,50,51,52,53,54,55,56,58,65,66,81,
82,83,84,85,86,88,113,114,118,119,120,127,128,196,209,210,211,218,219,220,221,
222,225,228,229,232,233,236,237,242,244,245,246,247,260,261,268,285,286,287,
292,293,300,360,372,471,476,478,526,528,530,532,533,542,544,546,550,551,564,
565,576,577,583,584,585,591,601,665,669,828,842,859,910,911,913,923,935,953,
954,958,970,971,980,1052,1061,1062,1125,1169,1170,1203,1255,1262,1294,1407,
1408,1409,1422,1445,1502,1536,1633,1634,1637,1645,1669,1723,1766,1860,1940],[
1,2,3,4,5,9,10,14,16,17,20,21,22,23,24,25,28,33,36,47,50,51,52,53,54,55,56,57,
81,84,85,100,101,113,114,119,120,125,129,132,140,195,209,210,211,219,220,222,
223,226,228,229,230,231,232,234,236,237,238,242,243,267,284,287,305,306,358,
361,365,381,461,465,466,525,526,527,532,533,548,550,552,555,556,557,568,570,
579,580,583,584,585,662,675,809,824,906,913,914,927,936,954,956,959,963,969,
1052,1059,1060,1136,1153,1154,1155,1252,1263,1298,1407,1408,1409,1419,1458,
1501,1535,1634,1635,1639,1644,1670,1722,1768,1859,1941],[1,2,3,4,9,10,14,15,
20,21,22,23,33,34,47,50,51,53,54,55,59,81,82,83,92,113,118,125,126,195,209,
210,211,218,220,221,223,224,228,229,230,231,242,243,267,284,286,291,358,359,
371,461,464,465,525,526,527,532,534,541,544,545,555,556,560,561,583,584,589,
640,662,668,808,824,906,909,910,921,953,956,957,969,1052,1057,1060,1151,1153,
1154,1250,1293,1315,1407,1408,1419,1467,1501,1535,1633,1635,1636,1642,1671,
1720,1765,1859,1942],[1,3,4,9,10,20,22,23,26,27,29,30,33,35,47,51,53,55,60,
113,115,116,125,127,128,130,131,141,142,143,195,209,210,211,223,225,227,228,
230,233,235,242,243,267,284,358,360,362,363,364,391,392,465,467,525,526,527,
528,529,530,531,554,555,558,564,566,572,574,584,586,587,590,662,663,664,743,
818,824,906,907,908,911,912,915,916,931,956,958,960,961,962,969,1052,1058,
1060,1152,1153,1156,1251,1302,1303,1408,1419,1420,1421,1469,1501,1535,1635,
1637,1638,1643,1672,1721,1770,1859,1943],[1,3,4,9,11,12,20,22,23,26,27,29,30,
33,35,47,51,53,55,58,67,68,73,113,115,116,125,127,128,130,131,141,142,143,196,
209,210,211,223,225,227,228,230,233,235,242,244,245,248,249,260,261,268,285,
358,360,362,363,364,391,392,474,476,477,525,526,527,528,529,530,531,554,555,
558,564,566,572,574,584,592,601,632,634,637,665,666,667,743,828,847,859,906,
907,908,911,912,915,916,931,956,958,960,970,971,981,983,1052,1061,1063,1167,
1169,1171,1204,1251,1302,1321,1408,1422,1423,1424,1483,1502,1536,1635,1637,
1638,1646,1676,1724,1770,1860,1944],[1,3,4,5,9,11,12,20,21,22,23,24,25,26,28,
29,34,35,36,47,51,52,53,55,56,58,69,72,113,114,118,121,122,126,127,128,129,
132,140,165,196,209,210,211,224,225,226,228,231,233,234,236,238,242,244,245,
250,251,260,261,268,285,359,360,361,375,376,400,401,475,476,479,526,528,530,
533,534,559,560,563,564,567,568,571,584,585,593,598,601,633,636,646,665,747,
828,849,859,909,911,914,933,957,958,959,970,971,982,984,1052,1061,1064,1168,
1169,1172,1205,1253,1305,1322,1326,1408,1409,1422,1485,1502,1536,1636,1637,
1639,1647,1677,1725,1771,1860,1945],[1,2,3,4,5,6,9,11,12,13,14,15,16,17,20,21,
22,23,24,25,26,27,28,29,30,31,32,36,39,40,41,50,51,52,53,54,55,56,58,65,66,67,
68,69,70,71,72,73,74,75,80,81,82,83,84,86,87,88,89,91,95,100,101,102,103,113,
114,115,116,117,118,121,122,127,129,130,131,132,134,135,136,137,140,141,142,
146,147,148,149,150,151,152,153,155,156,174,196,197,199,205,206,218,219,220,
221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,244,
246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,270,271,
272,273,274,275,276,278,286,288,289,292,294,295,297,298,301,302,305,307,310,
312,314,316,361,362,363,367,368,369,370,373,374,375,379,380,406,407,409,410,
415,416,417,418,419,420,421,433,434,462,470,471,472,473,474,475,476,477,478,
479,480,481,482,483,486,487,511,512,513,514,515,518,519,520,541,542,543,544,
545,546,547,548,549,550,551,552,553,554,555,556,557,558,559,560,561,562,563,
564,565,566,567,568,569,570,571,572,573,574,575,576,577,591,592,593,594,595,
596,597,601,602,603,604,605,606,607,608,609,610,611,612,613,614,615,616,617,
618,619,620,621,622,623,624,625,626,627,628,629,630,631,632,633,634,635,636,
637,638,639,659,670,671,674,688,690,694,695,708,709,715,716,753,755,764,766,
807,811,812,813,814,825,827,828,829,830,831,832,833,834,835,836,837,838,839,
840,841,842,843,844,845,846,847,848,849,850,851,852,853,854,855,856,857,858,
861,862,888,889,890,891,893,894,920,921,922,923,924,925,926,927,928,929,930,
931,932,933,934,935,938,939,941,972,973,974,975,976,977,978,981,982,986,987,
989,991,993,994,995,996,997,999,1000,1001,1002,1003,1004,1032,1033,1034,1036,
1037,1038,1039,1070,1124,1125,1126,1127,1128,1129,1130,1131,1132,1137,1139,
1140,1141,1142,1143,1144,1145,1146,1157,1158,1159,1160,1161,1164,1165,1166,
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,
1197,1198,1199,1200,1201,1202,1213,1214,1215,1216,1217,1218,1219,1220,1221,
1222,1237,1261,1264,1267,1269,1328,1335,1336,1338,1339,1378,1379,1380,1381,
1382,1383,1384,1386,1387,1388,1389,1390,1441,1442,1443,1444,1445,1446,1447,
1448,1449,1450,1451,1452,1453,1454,1455,1460,1462,1463,1464,1465,1466,1471,
1472,1473,1474,1475,1476,1477,1478,1479,1480,1481,1482,1483,1484,1485,1486,
1487,1488,1489,1490,1491,1492,1493,1494,1495,1496,1497,1498,1499,1500,1512,
1513,1514,1515,1516,1517,1518,1519,1549,1594,1610,1611,1612,1613,1614,1615,
1616,1617,1618,1619,1620,1621,1622,1649,1650,1651,1652,1653,1654,1655,1656,
1658,1659,1660,1661,1662,1663,1664,1665,1688,1734,1735,1736,1749,1750,1751,
1752,1753,1754,1755,1756,1757,1776,1863,1864,1865,1873,1874,1875,1876,1946],[
1,2,3,4,5,6,9,10,11,12,14,15,16,17,20,21,22,23,24,25,26,27,28,29,30,31,32,36,
39,40,41,50,51,52,53,54,55,56,57,58,59,60,65,66,67,68,69,70,71,72,73,81,82,83,
84,86,87,88,89,91,95,100,101,102,103,113,114,115,116,117,118,121,122,127,129,
130,131,132,134,135,136,137,140,141,142,146,147,148,149,150,151,152,153,155,
156,174,195,196,197,198,200,218,219,220,221,222,223,224,225,226,227,228,229,
230,231,232,233,234,235,236,237,238,239,242,243,244,245,246,247,248,249,250,
251,252,253,254,255,256,257,258,259,270,271,272,273,274,275,276,286,288,289,
292,294,295,297,298,301,302,305,307,310,312,314,316,361,362,363,367,368,369,
370,373,374,375,379,380,406,407,409,410,415,416,417,418,419,420,421,433,434,
461,462,463,464,465,466,467,470,471,472,474,475,476,477,478,479,480,481,482,
483,484,485,490,491,492,541,542,543,544,545,546,547,548,549,550,551,552,553,
554,555,556,557,558,559,560,561,562,563,564,565,566,567,568,569,570,571,572,
573,574,575,579,580,583,584,585,586,587,588,589,590,591,592,593,594,595,596,
597,598,599,600,602,603,604,605,606,607,610,611,612,613,614,615,616,617,618,
619,620,621,622,623,624,625,626,627,628,629,630,631,657,670,671,674,688,690,
694,695,708,709,715,716,753,755,764,766,807,808,809,810,811,812,813,814,815,
816,818,824,825,826,827,829,831,832,833,834,835,836,837,838,839,840,841,842,
843,844,845,847,848,849,850,851,852,853,854,855,856,857,858,859,860,869,920,
921,922,923,924,925,926,927,928,929,930,931,932,933,934,936,945,946,949,953,
959,960,961,965,966,967,968,972,973,974,975,976,977,978,979,993,994,995,996,
1001,1002,1003,1004,1018,1019,1021,1022,1023,1024,1025,1070,1124,1126,1128,
1129,1130,1131,1132,1133,1136,1137,1138,1139,1140,1141,1142,1143,1144,1145,
1146,1151,1152,1153,1154,1155,1156,1157,1158,1159,1160,1161,1162,1163,1164,
1165,1166,1173,1174,1175,1176,1179,1180,1181,1182,1183,1184,1185,1186,1187,
1188,1189,1190,1191,1192,1193,1194,1195,1196,1197,1198,1199,1200,1201,1202,
1203,1204,1205,1206,1207,1208,1209,1210,1211,1212,1261,1271,1274,1276,1295,
1297,1311,1313,1328,1359,1360,1361,1362,1366,1367,1368,1369,1370,1371,1372,
1377,1441,1442,1443,1447,1448,1450,1451,1452,1453,1454,1455,1457,1458,1459,
1460,1461,1462,1463,1464,1465,1466,1467,1468,1469,1470,1471,1472,1473,1474,
1475,1476,1477,1478,1479,1480,1481,1482,1487,1488,1489,1490,1491,1492,1493,
1494,1495,1496,1497,1498,1499,1500,1503,1504,1505,1506,1507,1508,1509,1510,
1556,1595,1596,1597,1598,1599,1600,1602,1603,1604,1605,1606,1607,1608,1609,
1649,1650,1651,1653,1654,1655,1656,1657,1658,1659,1660,1661,1662,1663,1664,
1665,1681,1737,1738,1739,1740,1741,1742,1743,1744,1745,1746,1747,1748,1776,
1866,1867,1868,1869,1870,1871,1872,1947],[1,3,9,11,20,26,27,47,48,49,53,67,
115,197,209,210,242,260,284,285,480,525,528,529,586,632,656,663,666,851,907,
919,1014,1051,1052,1060,1061,1259,1420,1423,1540,1689,1690,1713,1948],[1,2,3,
5,9,10,11,12,14,16,20,21,26,27,28,47,50,51,52,53,54,59,65,67,69,72,81,86,87,
100,102,115,121,195,196,197,198,200,210,218,219,220,223,224,225,226,227,242,
243,260,261,270,284,288,461,462,464,465,471,474,475,480,482,484,490,532,541,
542,543,548,549,554,559,576,579,583,586,589,632,633,636,657,662,808,812,824,
828,841,851,852,920,938,945,1019,1022,1023,1051,1052,1057,1125,1136,1143,1151,
1152,1167,1168,1362,1368,1369,1405,1407,1444,1457,1533,1535,1599,1713,1714,
1720,1851,1879,1949],[1,3,4,9,10,11,12,20,22,23,26,27,29,30,47,51,53,55,58,60,
67,68,73,113,115,116,127,130,141,142,195,196,197,198,200,209,210,211,223,225,
227,228,230,233,235,242,243,248,260,261,284,363,465,467,470,474,476,477,480,
481,485,491,526,554,555,558,564,566,572,574,584,586,587,590,601,632,634,637,
657,662,663,664,818,824,828,833,847,851,853,931,961,981,1021,1022,1024,1051,
1052,1058,1152,1153,1156,1167,1169,1171,1184,1366,1369,1371,1404,1408,1469,
1483,1533,1535,1602,1713,1715,1721,1852,1879,1950],[1,2,3,5,9,10,11,12,14,16,
20,21,26,27,28,47,50,51,53,54,56,57,65,66,67,69,81,86,87,100,102,115,121,195,
196,197,198,200,210,220,223,225,227,229,231,232,234,242,243,260,261,270,284,
288,461,462,463,465,466,474,478,479,480,482,492,532,554,556,557,565,567,573,
575,576,577,579,580,583,586,632,633,657,662,809,812,824,828,848,851,852,932,
938,945,1018,1022,1025,1051,1052,1059,1143,1152,1154,1155,1167,1170,1172,1360,
1369,1370,1405,1407,1470,1484,1533,1535,1596,1713,1716,1722,1851,1879,1951],[
1,3,5,6,9,11,12,13,20,24,25,26,27,31,32,47,52,53,56,58,65,66,67,70,71,74,114,
115,117,147,148,152,153,196,197,199,205,206,210,236,242,244,245,246,247,252,
253,256,257,260,262,274,285,369,471,472,473,476,478,480,483,511,512,513,514,
533,585,586,588,591,594,596,600,604,605,608,609,612,613,632,635,659,665,842,
844,851,854,859,861,888,967,973,997,1032,1036,1038,1051,1052,1062,1199,1203,
1206,1208,1213,1217,1219,1380,1386,1388,1406,1409,1504,1513,1534,1536,1617,
1713,1717,1723,1853,1880,1952],[1,3,4,9,11,12,13,20,22,23,26,27,29,30,47,51,
53,55,58,67,68,73,75,113,115,116,127,130,141,142,196,197,199,205,206,209,210,
211,228,242,244,245,248,249,252,253,254,255,260,262,285,363,470,474,476,477,
480,481,486,511,515,519,526,584,586,587,592,594,595,599,601,616,617,620,621,
632,634,638,659,665,666,667,833,847,851,853,859,861,889,961,975,981,1033,1036,
1037,1051,1052,1063,1184,1204,1206,1207,1214,1217,1218,1382,1386,1387,1404,
1408,1506,1515,1534,1536,1619,1713,1718,1724,1852,1880,1953],[1,3,5,6,9,11,12,
13,20,24,25,26,27,31,32,47,52,53,56,58,67,69,70,71,72,80,114,115,117,147,148,
152,153,196,197,199,205,206,210,236,242,244,245,250,251,252,253,258,259,260,
262,274,285,369,472,475,476,479,480,483,487,511,513,518,520,533,585,586,588,
593,594,597,598,608,624,625,628,629,632,635,639,659,665,844,849,851,854,859,
861,890,967,977,997,1034,1036,1039,1051,1052,1064,1199,1205,1206,1209,1215,
1217,1220,1384,1386,1389,1406,1409,1508,1517,1534,1536,1621,1713,1719,1725,
1853,1880,1954],[1,3,4,5,9,11,12,13,21,22,24,26,28,29,36,47,51,52,53,55,56,58,
65,66,67,68,69,72,73,75,118,121,122,127,129,196,197,199,205,206,209,210,211,
224,225,226,228,231,233,234,236,238,246,248,250,252,254,260,261,262,270,271,
273,284,285,375,470,471,472,473,474,475,476,477,478,479,480,481,486,487,511,
515,519,526,532,559,560,563,564,567,568,571,601,602,616,633,636,659,662,663,
664,665,666,667,827,828,829,830,831,833,835,841,842,843,844,845,846,847,848,
849,850,861,862,889,910,919,933,982,1032,1033,1034,1036,1037,1051,1057,1058,
1059,1063,1164,1165,1166,1168,1169,1172,1173,1178,1179,1198,1214,1258,1259,
1260,1378,1379,1380,1381,1382,1384,1404,1405,1418,1478,1485,1533,1534,1537,
1538,1611,1612,1616,1627,1714,1715,1716,1718,1726,1751,1774,1854,1881,1882,
1955],[1,3,4,9,11,12,13,22,26,27,29,30,47,51,53,55,58,67,68,73,75,127,130,135,
196,197,199,205,206,209,210,211,225,228,233,248,252,253,254,255,260,261,262,
284,285,406,470,474,476,477,480,481,486,511,515,519,526,529,531,564,601,616,
617,659,662,663,664,665,666,667,828,829,830,833,835,847,851,853,861,862,889,
912,919,986,1033,1036,1037,1051,1058,1063,1169,1173,1184,1189,1214,1258,1259,
1260,1378,1382,1386,1387,1404,1487,1533,1534,1538,1540,1541,1612,1619,1630,
1715,1718,1727,1752,1774,1882,1956],[1,3,4,6,9,11,12,13,22,25,26,29,32,40,47,
51,53,55,58,67,68,70,71,73,74,75,80,127,132,136,152,155,196,197,199,205,206,
209,210,211,225,228,233,247,248,251,252,254,257,259,260,261,262,274,276,278,
284,285,410,470,474,476,477,480,481,483,486,511,512,513,514,515,518,519,520,
526,533,564,601,610,612,614,616,619,628,630,635,639,659,662,663,664,665,666,
667,828,829,830,833,835,838,840,847,854,857,861,862,888,889,890,891,893,894,
914,919,991,1001,1033,1036,1037,1038,1039,1051,1058,1062,1063,1064,1169,1173,
1176,1187,1190,1195,1214,1219,1220,1222,1237,1258,1259,1260,1378,1382,1383,
1388,1389,1390,1404,1406,1425,1490,1516,1533,1534,1538,1539,1612,1615,1620,
1632,1715,1717,1718,1719,1728,1755,1774,1857,1882,1883,1957],[1,2,3,4,9,10,11,
12,14,15,20,21,22,23,47,50,51,53,54,55,57,58,59,60,67,68,73,81,82,83,113,118,
195,196,197,198,200,209,210,211,218,220,221,223,224,228,229,230,231,239,242,
243,244,245,248,249,284,285,286,461,462,463,464,465,466,467,470,474,476,477,
480,481,484,485,491,526,532,541,544,545,555,556,560,561,583,584,589,592,657,
662,663,664,665,666,667,807,808,809,810,812,813,815,816,818,824,825,826,827,
833,834,847,859,860,910,919,921,953,1018,1019,1021,1022,1024,1052,1057,1058,
1059,1063,1124,1129,1130,1133,1151,1153,1154,1158,1162,1165,1204,1258,1259,
1260,1359,1360,1361,1362,1366,1377,1407,1408,1418,1442,1467,1535,1536,1537,
1538,1595,1604,1606,1633,1720,1721,1722,1724,1726,1741,1775,1858,1884,1885,
1958],[1,3,4,9,10,11,12,20,22,23,27,30,47,51,53,55,58,60,67,68,73,113,130,131,
195,196,197,198,200,209,210,211,223,227,228,230,235,242,243,244,245,248,249,
284,285,362,465,467,470,474,476,477,480,481,485,491,526,529,531,555,572,584,
592,657,662,663,664,665,666,667,818,824,825,826,833,834,847,851,853,859,860,
912,919,960,1021,1022,1024,1052,1058,1063,1153,1158,1184,1186,1204,1258,1259,
1260,1366,1369,1371,1377,1408,1473,1535,1536,1538,1540,1541,1602,1606,1638,
1721,1724,1727,1744,1775,1885,1959],[1,3,4,5,9,10,11,12,20,22,23,24,25,28,36,
47,51,52,53,55,56,58,60,65,66,67,68,69,72,73,113,114,129,132,140,195,196,197,
198,200,209,210,211,223,226,228,230,234,236,238,242,243,244,245,246,247,248,
249,250,251,270,271,273,284,285,361,465,467,470,471,474,475,476,477,478,479,
480,481,482,485,490,491,492,526,533,555,568,584,585,591,592,593,598,602,603,
610,611,657,662,663,664,665,666,667,818,824,825,826,833,834,837,838,841,842,
843,847,848,849,850,852,855,859,860,869,914,919,959,972,1021,1022,1023,1024,
1025,1052,1058,1062,1063,1064,1153,1158,1160,1185,1187,1192,1198,1203,1204,
1205,1210,1258,1259,1260,1366,1367,1368,1370,1372,1377,1408,1409,1425,1474,
1503,1535,1536,1538,1539,1603,1606,1608,1639,1721,1723,1724,1725,1728,1745,
1775,1861,1885,1886,1960],[1,2,3,4,5,6,7,8,11,13,14,15,16,17,18,19,20,21,22,
23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,58,65,
67,68,69,70,71,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,
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,
191,192,193,194,205,244,246,247,248,249,250,251,252,253,254,255,256,257,258,
259,260,262,269,270,271,272,274,275,276,277,278,279,280,281,282,283,286,287,
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,
459,460,511,512,513,515,516,517,518,576,578,591,592,593,594,595,596,597,601,
602,603,604,605,606,607,608,609,610,611,612,613,614,615,616,617,618,619,620,
621,622,623,624,625,626,627,628,629,630,631,632,633,634,635,638,639,649,650,
651,652,653,654,655,668,669,670,671,672,673,674,675,676,677,678,679,680,681,
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,
796,797,798,799,800,801,802,803,804,805,806,861,888,889,890,891,892,893,895,
896,897,898,899,935,937,938,939,940,942,943,944,970,972,973,974,975,976,977,
978,980,981,982,983,984,985,986,987,988,989,990,991,992,993,994,995,996,997,
998,999,1000,1001,1002,1003,1004,1010,1011,1012,1013,1065,1066,1067,1068,1069,
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,
1115,1116,1117,1118,1119,1120,1121,1122,1123,1213,1214,1215,1217,1218,1219,
1220,1237,1238,1239,1240,1241,1242,1243,1262,1264,1265,1266,1267,1268,1269,
1270,1277,1279,1280,1281,1282,1283,1284,1321,1322,1323,1324,1325,1328,1329,
1330,1331,1332,1333,1334,1335,1336,1337,1338,1339,1340,1341,1342,1343,1344,
1345,1346,1347,1348,1349,1350,1351,1426,1427,1428,1429,1430,1431,1432,1433,
1434,1435,1436,1437,1438,1439,1440,1511,1512,1513,1514,1515,1516,1517,1518,
1522,1542,1543,1544,1548,1549,1550,1551,1552,1553,1554,1559,1560,1562,1563,
1579,1580,1581,1582,1583,1584,1585,1586,1648,1666,1682,1683,1684,1685,1686,
1687,1688,1729,1731,1777,1778,1779,1798,1799,1800,1801,1802,1803,1804,1805,
1887,1888,1889,1898,1899,1900,1901,1961],[1,2,3,4,5,6,7,8,9,10,14,15,16,17,18,
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,
45,46,50,51,52,53,54,55,56,57,59,60,61,62,63,64,81,82,83,84,85,86,87,88,89,90,
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,
188,189,190,191,192,193,194,195,218,219,220,221,222,223,224,225,226,227,228,
229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,263,264,265,266,
267,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,
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,
456,457,458,459,460,461,464,465,466,467,468,469,541,542,543,544,545,546,547,
548,549,550,551,552,553,554,555,556,557,558,559,560,561,562,563,564,565,566,
567,568,569,570,571,572,573,574,575,579,580,581,582,583,584,585,586,587,588,
589,590,640,641,642,643,644,645,668,669,670,671,672,673,674,675,676,677,678,
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,
793,794,795,796,797,798,799,800,801,802,803,804,805,806,808,809,810,816,817,
818,819,820,821,822,823,824,920,921,922,923,924,925,926,927,928,929,930,931,
932,933,934,936,945,946,947,948,949,950,951,952,953,954,955,956,957,958,959,
960,961,962,963,964,965,966,967,968,969,1005,1006,1007,1008,1065,1066,1067,
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,
1113,1114,1115,1116,1117,1118,1119,1120,1121,1122,1123,1133,1134,1135,1136,
1147,1148,1149,1150,1151,1152,1153,1154,1155,1156,1261,1263,1271,1272,1273,
1274,1275,1276,1285,1286,1287,1288,1289,1290,1291,1292,1293,1294,1295,1296,
1297,1298,1299,1300,1301,1302,1303,1304,1305,1306,1307,1308,1309,1310,1311,
1312,1313,1314,1315,1316,1317,1318,1319,1320,1426,1427,1428,1429,1430,1431,
1432,1433,1434,1435,1436,1437,1438,1439,1440,1456,1457,1458,1459,1467,1468,
1469,1470,1501,1545,1546,1547,1555,1556,1557,1558,1564,1565,1566,1567,1568,
1569,1570,1571,1572,1573,1574,1575,1576,1577,1578,1648,1657,1668,1670,1671,
1672,1673,1674,1675,1730,1732,1783,1784,1785,1788,1789,1790,1791,1792,1793,
1794,1795,1891,1892,1893,1894,1895,1896,1897,1962],[1,2,3,4,5,6,9,10,11,12,13,
14,15,22,24,27,28,30,32,36,40,41,50,51,52,53,54,55,56,57,58,59,60,65,66,67,68,
69,70,71,72,73,74,75,80,82,87,89,95,129,130,136,137,148,151,174,195,196,197,
198,199,200,201,202,203,204,205,206,207,208,218,220,221,226,227,228,229,234,
235,236,238,239,246,248,250,253,255,257,259,270,271,273,274,276,278,294,298,
415,416,419,461,462,463,464,465,466,467,470,471,472,473,474,475,476,477,478,
479,480,481,482,483,484,485,486,487,488,489,490,491,492,493,496,501,502,507,
510,511,512,513,514,515,518,519,520,521,522,523,524,543,544,547,568,569,572,
573,602,605,607,617,619,625,627,657,658,659,660,661,694,807,808,809,810,812,
813,815,816,818,831,832,833,836,837,840,841,842,843,844,845,846,847,848,849,
850,851,852,853,854,855,857,858,863,867,869,875,876,885,886,888,889,890,891,
893,894,900,901,903,905,925,994,1018,1019,1020,1021,1022,1023,1024,1025,1026,
1027,1032,1033,1034,1035,1036,1037,1038,1039,1040,1041,1042,1047,1048,1128,
1129,1132,1133,1143,1144,1146,1179,1180,1182,1184,1185,1190,1191,1196,1198,
1199,1201,1202,1225,1228,1237,1244,1245,1257,1359,1360,1361,1362,1363,1366,
1367,1368,1369,1370,1371,1372,1379,1380,1381,1382,1383,1384,1385,1386,1387,
1388,1389,1390,1393,1450,1452,1455,1492,1493,1496,1497,1526,1527,1528,1529,
1532,1595,1596,1597,1599,1600,1602,1603,1616,1617,1618,1619,1620,1621,1622,
1655,1691,1692,1694,1695,1696,1697,1698,1699,1700,1705,1706,1707,1737,1757,
1808,1809,1810,1815,1816,1817,1818,1819,1822,1823,1824,1825,1826,1904,1906,
1911,1912,1913,1963],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,19,22,32,40,41,42,43,
44,45,46,50,51,53,54,55,57,58,59,60,61,62,63,64,67,68,70,71,73,74,75,76,77,78,
79,80,82,95,96,97,98,99,136,137,138,139,183,184,185,186,187,188,189,190,191,
192,195,196,197,198,199,200,201,202,203,204,205,206,207,208,218,220,221,228,
229,239,240,241,248,257,259,263,264,265,266,274,276,277,278,279,280,281,282,
283,298,299,334,335,336,337,428,429,430,461,462,463,464,465,466,467,468,469,
470,474,476,477,480,481,483,484,485,486,488,489,491,493,494,495,496,497,498,
499,500,501,502,503,504,505,506,507,508,509,510,511,512,513,514,515,516,517,
518,519,520,523,524,544,581,619,655,657,658,659,660,661,699,807,808,809,810,
812,813,815,816,817,818,819,820,821,822,823,833,840,847,854,857,858,863,864,
865,866,867,868,870,871,872,873,874,875,876,877,878,879,880,881,882,883,884,
885,886,887,888,889,890,891,892,893,894,895,896,897,898,899,902,903,904,905,
1018,1019,1020,1021,1022,1024,1026,1027,1028,1029,1030,1031,1033,1036,1037,
1038,1039,1040,1042,1043,1044,1045,1046,1047,1048,1129,1133,1134,1135,1146,
1147,1148,1149,1150,1190,1191,1223,1224,1225,1226,1227,1228,1229,1230,1231,
1232,1233,1234,1235,1236,1237,1238,1239,1240,1241,1242,1243,1246,1248,1257,
1359,1360,1361,1362,1363,1364,1365,1366,1373,1374,1375,1376,1382,1383,1388,
1389,1390,1391,1392,1393,1394,1395,1396,1397,1455,1456,1520,1521,1522,1526,
1527,1529,1530,1531,1532,1595,1601,1620,1623,1691,1692,1693,1696,1699,1701,
1702,1703,1704,1705,1706,1707,1708,1809,1811,1812,1813,1814,1815,1816,1820,
1821,1822,1823,1827,1828,1829,1830,1831,1832,1833,1834,1835,1836,1905,1906,
1907,1908,1909,1910,1914,1915,1916,1964],[1,2,3,4,6,9,10,11,12,13,14,15,22,32,
40,41,50,51,53,54,55,57,58,59,60,67,68,70,71,73,74,75,80,82,95,136,137,193,
194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,218,220,221,228,
229,239,248,257,259,274,276,278,298,431,432,461,462,463,464,465,466,467,470,
474,476,477,480,481,483,484,485,486,488,489,491,493,496,501,502,507,510,511,
512,513,514,515,518,519,520,523,524,544,619,657,658,659,660,661,700,807,808,
809,810,812,813,815,816,818,833,840,847,854,857,858,863,867,875,876,885,886,
888,889,890,891,893,894,903,905,1018,1019,1020,1021,1022,1024,1026,1027,1033,
1036,1037,1038,1039,1040,1042,1047,1048,1129,1133,1146,1190,1191,1225,1228,
1237,1247,1249,1257,1359,1360,1361,1362,1363,1366,1382,1383,1388,1389,1390,
1393,1455,1526,1527,1529,1532,1595,1620,1691,1692,1696,1699,1705,1706,1707,
1809,1815,1816,1822,1823,1837,1838,1906,1917,1918,1965],[1,3,4,5,7,9,10,11,12,
13,22,24,28,36,41,42,45,51,52,53,55,56,58,60,62,63,65,66,67,68,69,72,73,75,78,
79,129,137,138,174,187,190,192,194,195,196,197,198,199,200,201,202,203,204,
205,206,207,208,226,228,234,236,238,246,248,250,266,270,271,273,281,416,429,
431,457,458,465,467,468,470,471,472,473,474,475,476,477,478,479,480,481,482,
485,486,487,490,491,492,493,494,495,496,498,500,502,505,507,508,511,515,517,
519,521,522,523,524,568,602,657,658,659,660,661,797,818,820,823,831,833,837,
841,842,843,844,845,846,847,848,849,850,852,855,858,869,870,872,873,876,880,
884,885,889,897,898,900,901,902,903,905,1021,1022,1023,1024,1025,1027,1028,
1031,1032,1033,1034,1035,1036,1037,1040,1041,1042,1045,1046,1149,1179,1185,
1191,1198,1202,1231,1234,1239,1244,1245,1246,1247,1257,1366,1367,1368,1370,
1372,1375,1379,1380,1381,1382,1384,1385,1392,1493,1523,1527,1528,1529,1530,
1603,1616,1694,1696,1698,1700,1701,1704,1706,1707,1817,1820,1823,1825,1826,
1828,1829,1836,1838,1912,1915,1918,1919,1920,1966],[1,3,4,5,8,9,10,11,12,13,
22,24,28,36,41,43,44,51,52,53,55,56,58,60,61,64,65,66,67,68,69,72,73,75,76,77,
129,137,139,174,188,189,191,193,195,196,197,198,199,200,201,202,203,204,205,
206,207,208,226,228,234,236,238,246,248,250,265,270,271,273,280,416,430,432,
459,460,465,467,469,470,471,472,473,474,475,476,477,478,479,480,481,482,485,
486,487,490,491,492,493,496,497,499,502,503,504,506,507,509,511,515,516,519,
521,522,523,524,568,602,657,658,659,660,661,798,818,821,822,831,833,837,841,
842,843,844,845,846,847,848,849,850,852,855,858,869,871,874,876,879,882,883,
885,889,895,896,900,901,903,904,905,1021,1022,1023,1024,1025,1027,1029,1030,
1032,1033,1034,1035,1036,1037,1040,1041,1042,1043,1044,1150,1179,1185,1191,
1198,1202,1230,1235,1238,1244,1245,1248,1249,1257,1366,1367,1368,1370,1372,
1376,1379,1380,1381,1382,1384,1385,1391,1493,1524,1527,1528,1529,1531,1603,
1616,1694,1696,1698,1700,1702,1703,1706,1707,1817,1821,1823,1825,1826,1831,
1833,1835,1837,1912,1916,1917,1921,1922,1967],[1,3,4,7,9,10,11,12,13,22,27,30,
41,42,45,51,53,55,58,60,62,63,67,68,73,75,78,79,130,137,138,187,190,192,193,
195,196,197,198,199,200,201,202,203,204,205,206,207,208,227,228,235,248,253,
255,266,281,419,429,432,465,467,468,470,474,476,477,480,481,485,486,491,493,
494,495,496,498,500,502,505,507,508,511,515,517,519,523,524,572,617,657,658,
659,660,661,799,818,820,823,832,833,836,847,851,853,858,870,872,873,876,880,
884,885,889,897,898,902,903,905,1021,1022,1024,1027,1028,1031,1033,1036,1037,
1040,1042,1045,1046,1149,1180,1184,1191,1231,1234,1239,1246,1249,1257,1366,
1369,1371,1375,1382,1386,1387,1392,1496,1527,1529,1530,1602,1619,1695,1696,
1697,1701,1704,1706,1707,1818,1820,1823,1828,1829,1836,1837,1913,1915,1917,
1968],[1,3,4,8,9,10,11,12,13,22,27,30,41,43,44,51,53,55,58,60,61,64,67,68,73,
75,76,77,130,137,139,188,189,191,194,195,196,197,198,199,200,201,202,203,204,
205,206,207,208,227,228,235,248,253,255,265,280,419,430,431,465,467,469,470,
474,476,477,480,481,485,486,491,493,496,497,499,502,503,504,506,507,509,511,
515,516,519,523,524,572,617,657,658,659,660,661,800,818,821,822,832,833,836,
847,851,853,858,871,874,876,879,882,883,885,889,895,896,903,904,905,1021,1022,
1024,1027,1029,1030,1033,1036,1037,1040,1042,1043,1044,1150,1180,1184,1191,
1230,1235,1238,1247,1248,1257,1366,1369,1371,1376,1382,1386,1387,1391,1496,
1527,1529,1531,1602,1619,1695,1696,1697,1702,1703,1706,1707,1818,1821,1823,
1831,1833,1835,1838,1913,1916,1918,1969],[1,2,3,4,5,9,11,14,15,16,17,20,21,22,
23,24,25,26,27,28,29,30,33,34,35,36,47,50,51,53,54,55,58,65,67,68,69,81,82,83,
84,85,86,87,88,89,92,100,101,102,103,113,114,115,116,118,119,120,121,122,125,
126,127,128,129,130,131,132,140,141,142,143,165,197,209,210,211,218,220,221,
223,224,228,229,230,231,242,244,246,247,248,249,250,251,260,270,271,286,287,
288,289,291,292,293,294,295,300,301,302,305,306,307,308,358,359,360,361,362,
363,364,365,371,372,373,374,375,376,377,381,382,391,392,400,401,462,470,480,
481,482,525,526,527,532,534,541,544,545,555,556,560,561,576,579,583,584,586,
587,591,592,593,601,602,603,610,611,632,633,634,668,669,670,671,672,675,676,
681,682,701,702,743,747,748,757,807,812,813,825,827,833,834,837,838,851,852,
853,855,906,909,910,921,935,936,938,939,945,946,953,956,957,961,962,963,970,
972,980,981,982,983,984,1051,1052,1065,1124,1129,1130,1143,1144,1158,1160,
1165,1184,1185,1186,1187,1192,1250,1262,1263,1264,1265,1271,1272,1293,1296,
1303,1306,1321,1322,1329,1330,1404,1405,1407,1408,1442,1452,1453,1473,1474,
1479,1480,1542,1545,1626,1627,1628,1633,1635,1636,1650,1713,1758,1765,1851,
1852,1927,1929,1930,1970],[1,2,3,4,5,6,9,11,14,15,16,17,18,20,21,22,23,24,25,
26,27,28,29,30,31,32,35,36,37,38,39,47,50,51,52,53,54,55,56,58,65,67,68,69,70,
71,81,82,83,84,85,86,87,88,89,90,91,93,94,100,101,102,103,104,105,106,107,108,
113,114,115,116,117,118,119,120,121,122,123,124,127,128,129,130,133,134,135,
141,142,144,145,147,148,149,150,152,153,154,172,197,209,210,211,218,219,220,
221,222,225,228,229,232,233,236,237,242,246,248,250,252,254,256,258,260,270,
271,272,274,275,286,287,288,289,290,292,293,294,296,297,300,301,302,303,304,
305,307,309,310,311,312,313,315,317,318,319,338,339,340,341,342,343,344,360,
363,366,369,372,375,378,383,384,389,405,406,407,408,411,462,470,472,480,481,
482,483,526,528,530,532,533,542,544,546,550,551,564,565,576,579,583,584,585,
586,587,588,601,602,604,606,608,616,618,624,626,632,633,634,635,669,671,673,
677,678,687,688,689,691,703,704,707,714,750,761,807,811,812,813,814,829,833,
835,837,839,844,851,852,853,854,855,856,910,911,913,923,935,936,937,938,939,
940,945,946,947,948,953,954,955,958,961,964,967,981,982,985,988,990,993,997,
998,1051,1052,1068,1126,1129,1131,1140,1143,1144,1145,1173,1175,1184,1185,
1188,1189,1194,1199,1200,1255,1264,1266,1268,1271,1273,1275,1280,1281,1285,
1286,1294,1308,1334,1337,1404,1405,1406,1407,1408,1409,1447,1452,1454,1463,
1464,1487,1488,1548,1555,1627,1629,1631,1633,1634,1637,1653,1713,1761,1766,
1851,1852,1853,1927,1928,1931,1971],[1,2,3,4,5,6,9,11,14,15,16,17,20,21,22,23,
24,25,26,27,28,29,30,31,32,36,39,40,41,47,50,51,52,53,54,55,56,58,65,67,68,69,
70,71,81,82,83,84,86,87,88,89,91,95,100,101,102,103,113,114,115,116,117,118,
121,122,127,129,130,131,132,134,135,136,137,140,141,142,146,147,148,149,150,
151,152,153,155,156,174,197,209,210,211,218,220,221,226,227,228,229,234,235,
236,238,242,246,248,250,253,255,257,259,260,270,271,274,276,286,288,289,292,
294,295,297,298,301,302,305,307,310,312,314,316,361,362,363,367,368,369,370,
373,374,375,379,380,406,407,409,410,415,416,417,418,419,420,421,433,434,462,
470,472,480,481,482,483,526,529,531,532,533,543,544,547,568,569,572,573,576,
579,583,584,585,586,587,588,601,602,605,607,608,617,619,625,627,632,633,634,
635,670,671,674,688,690,694,695,708,709,715,716,753,755,764,766,807,812,813,
831,832,833,836,837,840,844,845,851,852,853,854,855,857,858,910,912,914,925,
935,936,938,939,945,946,953,959,960,961,965,966,967,968,981,982,986,987,989,
991,994,997,999,1051,1052,1070,1128,1129,1132,1143,1144,1146,1179,1180,1182,
1184,1185,1190,1191,1196,1199,1201,1202,1256,1264,1267,1269,1271,1274,1276,
1295,1297,1311,1313,1335,1336,1338,1339,1404,1405,1406,1407,1408,1409,1450,
1452,1455,1492,1493,1496,1497,1549,1556,1627,1630,1632,1633,1638,1639,1655,
1713,1762,1767,1851,1852,1853,1927,1932,1933,1972],[1,2,3,4,5,6,9,11,14,16,17,
18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,35,36,38,39,40,47,50,51,52,53,54,
55,56,58,65,67,68,69,70,71,81,84,85,86,87,90,91,100,101,102,104,105,106,107,
108,111,113,114,115,116,117,119,120,121,123,124,125,127,128,129,130,131,132,
134,136,140,141,142,143,145,146,147,148,149,150,151,152,153,154,155,156,158,
172,197,209,210,211,219,220,222,223,226,228,230,232,234,236,237,238,242,244,
248,249,256,257,258,259,260,270,272,274,275,276,287,288,290,305,306,309,310,
313,314,317,318,320,338,339,340,342,343,346,348,349,358,360,361,362,363,364,
365,367,369,370,381,383,385,386,389,390,391,392,394,407,410,414,415,417,421,
433,434,435,462,470,472,480,481,482,483,525,526,527,532,533,548,550,552,555,
557,568,570,576,579,583,584,585,586,587,588,592,596,597,601,608,618,619,622,
623,632,633,634,635,675,677,679,707,708,710,711,727,728,729,731,743,752,753,
768,811,812,814,825,831,833,834,839,840,844,845,851,852,853,854,856,857,906,
913,914,927,937,938,940,945,947,948,954,955,956,959,961,962,965,967,968,970,
976,981,983,987,990,991,997,998,999,1051,1052,1072,1137,1140,1141,1143,1145,
1158,1161,1179,1184,1186,1188,1190,1193,1199,1200,1201,1252,1277,1280,1282,
1285,1287,1289,1298,1300,1303,1311,1321,1325,1336,1342,1404,1405,1406,1407,
1408,1409,1460,1463,1465,1473,1475,1492,1494,1559,1564,1626,1631,1632,1634,
1635,1639,1658,1713,1760,1768,1851,1852,1853,1928,1929,1933,1973],[1,2,3,4,5,
6,9,11,14,16,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,34,38,39,41,47,50,
51,52,53,54,55,56,58,65,67,68,69,70,71,81,84,85,86,87,90,91,100,102,103,104,
105,106,107,112,113,114,115,116,117,118,119,120,121,123,124,126,127,130,131,
132,134,135,137,141,142,145,147,148,149,152,153,154,156,167,197,209,210,211,
219,220,222,224,227,228,231,232,235,236,237,242,247,248,251,253,255,256,258,
260,270,272,274,275,287,288,290,307,308,309,310,315,316,317,318,338,339,342,
343,344,347,348,359,362,363,365,368,369,372,374,377,379,382,383,386,387,388,
389,400,403,406,409,419,420,421,462,470,472,480,481,482,483,526,529,531,532,
533,534,549,550,553,560,562,572,575,576,579,583,584,585,586,587,588,601,608,
610,613,615,617,618,629,631,632,633,634,635,676,677,680,714,715,717,718,728,
730,734,735,748,755,763,770,811,812,814,827,832,833,836,838,839,844,851,852,
853,854,856,858,909,912,913,929,937,938,940,945,947,948,954,955,957,960,961,
963,966,967,980,981,984,986,989,990,997,998,1002,1051,1052,1074,1139,1140,
1142,1143,1145,1165,1180,1183,1184,1187,1188,1191,1197,1199,1200,1254,1279,
1280,1283,1285,1288,1290,1299,1301,1306,1313,1329,1333,1335,1344,1404,1405,
1406,1407,1408,1409,1462,1463,1466,1479,1481,1496,1499,1562,1565,1628,1630,
1631,1634,1636,1638,1660,1713,1764,1769,1851,1852,1853,1928,1930,1932,1974],[
1,3,4,9,11,20,22,23,26,27,29,30,33,35,37,41,47,51,53,55,58,67,68,113,115,116,
125,127,128,130,131,133,135,137,141,142,143,144,157,173,197,209,210,211,223,
225,227,228,230,233,235,242,244,248,249,252,253,254,255,260,358,360,362,363,
364,366,368,391,392,393,395,405,406,408,409,411,412,413,419,420,422,470,480,
481,525,526,527,528,529,530,531,554,555,558,564,566,572,574,584,586,587,592,
594,595,601,616,617,620,621,632,634,743,744,750,751,755,756,774,775,776,825,
829,832,833,834,835,836,851,853,858,906,907,908,911,912,915,916,931,956,958,
960,961,962,964,966,970,975,981,983,985,986,988,989,1051,1052,1100,1157,1158,
1159,1173,1174,1180,1181,1184,1186,1189,1191,1251,1302,1303,1304,1308,1309,
1313,1314,1321,1323,1324,1334,1335,1340,1341,1404,1408,1471,1473,1476,1487,
1489,1496,1498,1573,1579,1626,1629,1630,1635,1637,1638,1662,1713,1759,1770,
1852,1929,1931,1932,1975],[1,3,4,5,6,9,11,20,21,22,23,24,25,26,27,28,29,30,31,
32,34,35,36,37,39,40,47,51,52,53,55,56,58,67,68,70,71,113,114,115,116,117,118,
119,121,122,123,126,127,128,129,130,132,133,134,135,136,140,141,142,144,146,
147,148,150,151,152,153,154,155,156,165,166,197,209,210,211,224,225,226,228,
231,233,234,236,238,242,247,248,251,252,254,257,259,260,274,276,359,360,361,
363,365,366,367,369,370,372,374,375,376,378,380,382,383,384,385,388,400,401,
402,403,405,406,407,408,410,411,414,415,418,421,423,433,434,470,472,480,481,
483,526,528,530,533,534,559,560,563,564,567,568,571,584,585,586,587,588,601,
608,610,612,614,616,619,628,630,632,634,635,747,748,749,750,752,753,754,761,
762,766,767,770,771,789,790,827,829,831,833,835,838,840,844,845,851,853,854,
857,909,911,914,933,957,958,959,961,963,964,965,967,968,980,981,984,985,987,
988,991,997,999,1001,1051,1052,1105,1164,1165,1166,1173,1176,1179,1184,1187,
1189,1190,1195,1199,1201,1253,1305,1306,1307,1308,1310,1311,1312,1329,1331,
1332,1334,1336,1343,1345,1404,1406,1408,1409,1478,1479,1482,1487,1490,1492,
1495,1574,1581,1628,1629,1632,1636,1637,1639,1664,1713,1763,1771,1852,1853,
1930,1931,1933,1976],[1,3,4,5,6,9,11,12,20,21,22,23,24,25,26,27,28,29,30,31,
32,34,35,36,37,39,40,47,51,52,53,55,56,58,65,66,67,68,69,70,71,72,73,113,114,
115,116,117,118,119,121,122,123,126,127,128,129,130,132,133,134,135,136,140,
141,142,144,146,147,148,150,151,152,153,154,155,156,165,166,196,209,210,211,
224,225,226,228,231,233,234,236,238,242,244,245,246,247,248,249,250,251,252,
253,254,255,256,257,258,259,260,261,268,270,271,272,273,274,275,276,284,359,
360,361,363,365,366,367,369,370,372,374,375,376,378,380,382,383,384,385,388,
400,401,402,403,405,406,407,408,410,411,414,415,418,421,423,433,434,471,474,
475,476,477,478,479,525,526,527,528,529,530,531,532,533,534,559,560,563,564,
567,568,571,584,585,586,587,588,591,592,593,594,595,596,597,598,599,600,601,
602,603,604,605,606,607,610,611,612,613,614,615,616,617,618,619,620,621,622,
623,624,625,626,627,628,629,630,631,633,635,636,646,662,663,664,747,748,749,
750,752,753,754,761,762,766,767,770,771,789,790,828,841,842,843,847,848,849,
850,859,906,907,908,909,910,911,912,913,914,915,916,933,957,958,959,961,963,
964,965,967,968,970,971,972,973,974,975,976,977,978,979,982,984,985,986,990,
991,993,994,995,996,1001,1002,1003,1004,1051,1057,1058,1059,1060,1105,1168,
1169,1172,1198,1203,1204,1205,1206,1207,1208,1209,1250,1251,1252,1253,1254,
1255,1256,1305,1306,1307,1308,1310,1311,1312,1322,1323,1325,1326,1328,1337,
1338,1343,1344,1404,1405,1406,1418,1419,1420,1421,1485,1502,1503,1504,1505,
1506,1507,1508,1509,1525,1533,1574,1580,1626,1627,1628,1629,1630,1631,1632,
1642,1643,1644,1677,1678,1680,1681,1714,1715,1716,1758,1759,1760,1761,1762,
1763,1764,1772,1797,1854,1855,1877,1934,1935,1936,1977],[1,3,4,5,6,11,13,20,
21,22,23,24,25,26,27,28,29,30,31,32,34,35,36,37,39,40,47,58,65,67,68,69,70,71,
74,75,80,113,114,115,116,117,118,119,121,122,123,126,127,128,129,130,132,133,
134,135,136,140,141,142,144,146,147,148,150,151,152,153,154,155,156,165,166,
205,209,210,211,244,246,247,248,249,250,251,252,253,254,255,256,257,258,259,
260,262,269,270,271,272,274,275,276,278,285,359,360,361,363,365,366,367,369,
370,372,374,375,376,378,380,382,383,384,385,388,400,401,402,403,405,406,407,
408,410,411,414,415,418,421,423,433,434,511,512,513,515,518,525,526,527,528,
529,530,531,532,533,534,591,592,593,594,595,596,597,601,602,603,604,605,606,
607,608,609,610,611,612,613,614,615,616,617,618,619,620,621,622,623,624,625,
626,627,628,629,630,631,632,633,634,635,638,639,652,665,666,667,747,748,749,
750,752,753,754,761,762,766,767,770,771,789,790,861,888,889,890,891,893,906,
907,908,909,910,911,912,913,914,915,916,970,972,973,974,975,976,977,978,980,
981,982,984,985,986,987,988,990,991,992,993,994,995,996,997,999,1000,1001,
1002,1003,1004,1051,1061,1062,1063,1064,1105,1213,1214,1215,1217,1218,1219,
1220,1237,1250,1251,1252,1253,1254,1255,1256,1322,1323,1325,1328,1329,1331,
1332,1334,1336,1337,1338,1343,1344,1345,1349,1404,1405,1406,1422,1423,1424,
1425,1511,1512,1513,1514,1515,1516,1517,1518,1525,1534,1580,1581,1626,1627,
1628,1629,1630,1631,1632,1645,1646,1647,1682,1683,1685,1688,1717,1718,1719,
1758,1759,1760,1761,1762,1763,1764,1773,1799,1856,1857,1877,1937,1938,1939,
1978],[1,2,3,4,5,9,11,12,14,15,16,17,20,21,22,23,24,25,26,27,28,29,30,33,34,
35,36,47,50,51,52,53,54,55,56,58,65,66,67,68,69,72,73,81,82,83,84,85,86,87,88,
89,92,100,101,102,103,113,114,115,116,118,119,120,121,122,125,126,127,128,129,
130,131,132,140,141,142,143,165,196,209,210,211,218,219,220,221,222,223,224,
225,226,227,228,229,230,231,232,233,234,235,236,237,238,242,244,245,246,247,
248,249,250,251,260,261,268,270,271,273,285,286,287,288,289,291,292,293,294,
295,300,301,302,305,306,307,308,358,359,360,361,362,363,364,365,371,372,373,
374,375,376,377,381,382,391,392,400,401,471,474,475,476,477,478,479,525,526,
527,528,529,530,531,532,533,534,541,542,543,544,545,546,547,548,549,550,551,
552,553,554,555,556,557,558,559,560,561,562,563,564,565,566,567,568,569,570,
571,572,573,574,575,576,577,583,584,585,591,592,593,598,601,602,603,610,611,
632,633,634,636,637,646,665,666,667,668,669,670,671,672,675,676,681,682,701,
702,743,747,748,757,828,841,842,843,847,848,849,850,859,906,907,908,909,910,
911,912,913,914,915,916,920,921,922,923,924,925,926,927,928,929,930,931,932,
933,934,935,938,939,941,953,954,956,957,958,959,960,970,971,972,980,981,982,
983,984,1052,1061,1062,1063,1064,1065,1125,1167,1168,1169,1170,1171,1172,1198,
1203,1204,1205,1250,1251,1252,1253,1254,1255,1256,1261,1262,1264,1265,1293,
1294,1295,1298,1299,1302,1305,1321,1322,1326,1329,1330,1407,1408,1409,1422,
1423,1424,1425,1444,1445,1446,1483,1484,1485,1486,1502,1503,1525,1536,1542,
1571,1633,1634,1635,1636,1637,1638,1639,1645,1646,1647,1652,1669,1676,1677,
1723,1724,1725,1765,1766,1767,1768,1769,1770,1771,1773,1786,1860,1861,1878,
1940,1944,1945,1979],[1,2,3,4,5,9,10,14,15,16,17,20,21,22,23,24,25,26,27,28,
29,30,33,34,35,36,47,50,51,52,53,54,55,56,57,59,60,81,82,83,84,85,86,87,88,89,
92,100,101,102,103,113,114,115,116,118,119,120,121,122,125,126,127,128,129,
130,131,132,140,141,142,143,165,195,209,210,211,218,219,220,221,222,223,224,
225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,242,243,267,284,
286,287,288,289,291,292,293,294,295,300,301,302,305,306,307,308,358,359,360,
361,362,363,364,365,371,372,373,374,375,376,377,381,382,391,392,400,401,461,
464,465,466,467,525,526,527,528,529,530,531,532,533,534,541,542,543,544,545,
546,547,548,549,550,551,552,553,554,555,556,557,558,559,560,561,562,563,564,
565,566,567,568,569,570,571,572,573,574,575,579,580,583,584,585,586,587,589,
590,640,662,663,664,668,669,670,671,672,675,676,681,682,701,702,743,747,748,
757,808,809,810,816,818,824,906,907,908,909,910,911,912,913,914,915,916,920,
921,922,923,924,925,926,927,928,929,930,931,932,933,934,936,945,946,949,953,
954,956,957,958,959,960,961,962,963,969,1052,1057,1058,1059,1060,1065,1133,
1136,1151,1152,1153,1154,1155,1156,1250,1251,1252,1253,1254,1255,1256,1261,
1263,1271,1272,1293,1294,1295,1296,1298,1299,1302,1303,1305,1306,1315,1407,
1408,1409,1418,1419,1420,1421,1457,1458,1459,1467,1468,1469,1470,1501,1525,
1535,1545,1571,1633,1634,1635,1636,1637,1638,1639,1642,1643,1644,1657,1670,
1671,1672,1720,1721,1722,1765,1766,1767,1768,1769,1770,1771,1772,1788,1858,
1859,1878,1941,1942,1943,1980],[1,3,9,10,11,12,13,20,26,27,47,51,53,58,67,115,
195,196,197,198,199,200,201,202,203,204,205,206,207,208,210,223,225,227,242,
243,244,245,252,253,260,261,262,284,285,465,470,474,476,480,511,554,586,594,
632,657,658,659,660,661,662,665,824,825,826,828,829,830,832,851,859,860,861,
862,919,1021,1022,1033,1036,1051,1052,1152,1157,1167,1206,1217,1257,1258,1369,
1377,1378,1386,1527,1533,1534,1535,1536,1605,1610,1695,1713,1774,1775,1879,
1880,1981],[1,3,4,11,13,22,26,29,37,47,48,49,58,67,68,75,127,133,205,209,210,
211,212,215,248,252,254,260,262,269,285,405,511,515,526,528,530,601,616,656,
665,666,667,861,889,911,985,992,1014,1015,1049,1050,1051,1061,1063,1214,1352,
1404,1422,1511,1534,1629,1689,1718,1806,1856,1982],[1,3,4,9,10,20,22,23,33,47,
48,49,51,53,55,60,113,125,195,209,210,211,212,215,223,228,230,242,243,267,284,
358,465,467,525,526,527,555,584,656,662,663,664,818,824,906,956,969,1014,1015,
1052,1053,1054,1058,1060,1153,1352,1408,1419,1501,1535,1635,1690,1721,1807,
1859,1983],[1,3,4,9,11,12,20,22,23,26,29,35,47,48,49,51,53,55,58,67,68,73,113,
127,128,196,209,210,211,212,215,225,228,233,242,244,245,248,249,260,261,268,
284,285,360,474,476,477,525,526,527,528,530,564,584,592,601,656,662,663,664,
665,666,667,828,847,859,906,911,958,970,971,1014,1015,1051,1052,1055,1056,
1058,1060,1061,1063,1169,1204,1352,1404,1408,1419,1422,1502,1533,1536,1626,
1637,1689,1690,1715,1724,1806,1807,1855,1860,1984],[1,3,4,9,11,20,22,23,26,27,
29,30,47,48,49,51,53,55,58,67,68,113,115,116,127,130,141,142,197,209,210,211,
212,215,228,242,248,260,284,285,363,470,480,481,525,526,527,528,529,530,531,
584,586,587,601,632,634,656,662,663,664,665,666,667,833,851,853,906,907,908,
911,912,915,916,919,961,981,1014,1015,1051,1052,1058,1060,1061,1063,1184,1251,
1258,1259,1260,1352,1404,1408,1419,1420,1421,1422,1423,1424,1538,1540,1541,
1643,1646,1689,1690,1713,1727,1806,1807,1852,1948,1985],[1,2,3,4,5,9,10,11,12,
14,15,16,17,20,21,22,23,24,26,27,28,29,30,36,47,50,51,52,53,54,55,56,57,58,59,
60,65,66,67,68,69,72,73,81,82,83,84,86,87,88,89,100,101,102,103,113,115,116,
118,121,122,127,129,130,141,142,195,196,197,198,200,209,210,211,218,219,220,
221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,
242,243,246,248,250,260,261,270,271,273,284,286,288,289,292,294,301,302,305,
307,363,375,461,462,463,464,465,466,467,470,471,474,475,476,477,478,479,480,
481,482,484,485,490,491,492,526,532,541,542,543,544,545,546,547,548,549,550,
551,552,553,554,555,556,557,558,559,560,561,562,563,564,565,566,567,568,569,
570,571,572,573,574,575,576,577,579,580,583,584,586,587,589,590,601,602,632,
633,634,636,637,657,662,663,664,671,807,808,809,810,812,813,815,816,818,824,
828,833,837,841,842,843,847,848,849,850,851,852,853,855,869,910,920,921,922,
923,924,925,926,927,928,929,930,931,932,933,934,935,936,938,939,941,945,946,
949,953,961,981,982,1018,1019,1021,1022,1023,1024,1025,1051,1052,1057,1058,
1059,1125,1129,1133,1136,1143,1144,1151,1152,1153,1154,1155,1156,1167,1168,
1169,1170,1171,1172,1184,1185,1198,1261,1264,1271,1359,1360,1361,1362,1366,
1367,1368,1369,1370,1371,1372,1404,1405,1407,1408,1418,1444,1445,1446,1452,
1457,1458,1459,1467,1468,1469,1470,1483,1484,1485,1486,1533,1535,1595,1596,
1597,1599,1600,1602,1603,1627,1633,1652,1657,1713,1714,1715,1716,1720,1721,
1722,1737,1851,1852,1854,1858,1879,1927,1949,1950,1951,1986],[1,3,4,9,10,11,
12,20,22,23,26,27,29,30,33,35,47,51,53,55,58,67,68,113,115,116,125,127,128,
130,131,141,142,143,195,196,197,198,200,209,210,211,223,225,227,228,230,242,
243,244,245,248,249,260,261,267,268,284,358,360,362,363,364,391,392,465,470,
474,480,481,525,526,527,554,555,584,586,587,592,601,632,634,657,662,743,824,
825,826,828,833,834,851,853,859,860,906,956,958,960,961,962,969,970,971,981,
983,1022,1051,1052,1060,1152,1153,1158,1167,1184,1186,1204,1302,1303,1321,
1369,1377,1404,1408,1419,1473,1501,1502,1533,1535,1606,1626,1635,1672,1676,
1713,1744,1852,1855,1859,1879,1929,1987],[1,3,4,9,11,12,13,20,22,23,26,27,29,
30,35,37,47,51,53,55,58,67,68,113,115,116,127,128,130,133,135,141,142,144,196,
197,199,205,206,209,210,211,225,228,233,242,244,245,248,252,253,254,260,261,
262,268,269,285,360,363,366,405,406,408,411,470,476,480,481,511,526,528,530,
564,584,586,587,594,601,616,632,634,659,665,750,828,829,830,833,835,851,853,
859,861,862,911,958,961,964,970,971,981,985,986,988,992,1036,1051,1052,1061,
1169,1173,1184,1189,1206,1214,1217,1308,1323,1334,1378,1386,1404,1408,1422,
1487,1502,1511,1534,1536,1612,1629,1637,1678,1682,1713,1752,1852,1856,1860,
1880,1931,1988],[1,3,4,5,6,9,11,12,13,20,22,23,24,25,26,27,28,29,30,31,32,36,
39,40,47,51,52,53,55,56,58,65,66,67,68,69,70,71,72,73,74,75,80,113,114,115,
116,117,127,129,130,132,134,136,140,141,142,146,147,148,150,151,152,153,155,
156,196,197,199,205,206,209,210,211,226,228,234,236,238,242,244,245,246,247,
248,249,250,251,252,253,254,255,256,257,258,259,260,262,270,271,272,273,274,
275,276,278,285,361,363,367,369,370,407,410,415,421,433,434,470,471,472,473,
474,475,476,477,478,479,480,481,483,486,487,511,512,513,514,515,518,519,520,
526,533,568,584,585,586,587,588,591,592,593,594,595,596,597,598,599,600,601,
602,603,604,605,606,607,608,609,610,611,612,613,614,615,616,617,618,619,620,
621,622,623,624,625,626,627,628,629,630,631,632,634,635,638,639,659,665,666,
667,753,831,833,840,841,842,843,844,845,846,847,848,849,850,851,853,854,857,
859,861,888,889,890,891,893,894,914,959,961,965,967,968,972,973,974,975,976,
977,978,979,981,987,991,993,994,995,996,997,999,1000,1001,1002,1003,1004,1032,
1033,1034,1036,1037,1038,1039,1051,1052,1062,1063,1064,1179,1184,1190,1198,
1199,1201,1203,1204,1205,1206,1207,1208,1209,1213,1214,1215,1217,1218,1219,
1220,1237,1311,1328,1336,1379,1380,1381,1382,1383,1384,1386,1387,1388,1389,
1390,1404,1406,1408,1409,1425,1492,1503,1504,1505,1506,1507,1508,1509,1512,
1513,1514,1515,1516,1517,1518,1534,1536,1616,1617,1618,1619,1620,1621,1622,
1632,1639,1681,1688,1713,1717,1718,1719,1723,1724,1725,1757,1852,1853,1857,
1861,1880,1933,1952,1953,1954,1989],[1,3,4,5,6,9,11,12,13,21,22,24,25,26,27,
28,29,30,32,36,40,47,51,52,53,55,56,58,65,66,67,68,69,70,71,72,73,74,75,80,
118,121,122,127,129,130,132,135,136,148,151,152,155,196,197,199,205,206,209,
210,211,224,225,226,228,231,233,234,236,238,246,247,248,250,251,252,253,254,
255,257,259,260,261,262,270,271,273,274,276,278,284,285,374,375,380,406,410,
415,418,470,471,472,473,474,475,476,477,478,479,480,481,483,486,487,511,512,
513,514,515,518,519,520,526,529,531,532,533,559,560,563,564,567,568,571,601,
602,605,607,610,612,614,616,617,619,625,627,628,630,633,635,636,639,659,662,
663,664,665,666,667,766,827,828,829,830,831,833,835,838,840,841,842,843,844,
845,846,847,848,849,850,851,853,854,857,861,862,888,889,890,891,893,894,910,
912,914,919,933,982,986,991,994,1001,1032,1033,1034,1036,1037,1038,1039,1051,
1057,1058,1059,1062,1063,1064,1164,1165,1166,1168,1169,1172,1173,1176,1178,
1179,1184,1187,1189,1190,1195,1198,1199,1201,1214,1219,1220,1222,1237,1256,
1258,1259,1260,1338,1378,1379,1380,1381,1382,1383,1384,1386,1387,1388,1389,
1390,1404,1405,1406,1418,1425,1478,1479,1482,1485,1487,1490,1492,1495,1516,
1533,1534,1537,1538,1539,1540,1541,1611,1612,1615,1616,1617,1618,1619,1620,
1621,1622,1627,1630,1632,1664,1714,1715,1716,1717,1718,1719,1726,1727,1728,
1751,1752,1755,1757,1762,1774,1854,1857,1862,1875,1881,1882,1883,1955,1956,
1957,1990],[1,2,3,4,5,9,10,11,12,14,15,20,21,22,23,24,25,27,28,30,36,47,50,51,
52,53,54,55,56,57,58,59,60,65,66,67,68,69,72,73,81,82,83,87,89,113,114,118,
129,130,131,132,140,195,196,197,198,200,209,210,211,218,220,221,223,224,226,
227,228,229,230,231,234,235,236,238,239,242,243,244,245,246,247,248,249,250,
251,270,271,273,284,285,286,294,295,361,362,373,374,461,462,463,464,465,466,
467,470,471,474,475,476,477,478,479,480,481,482,484,485,490,491,492,526,529,
531,532,533,541,543,544,545,547,555,556,560,561,568,569,572,573,583,584,585,
589,591,592,593,598,602,603,610,611,657,662,663,664,665,666,667,670,807,808,
809,810,812,813,815,816,818,824,825,826,827,833,834,837,838,841,842,843,847,
848,849,850,851,852,853,855,859,860,869,910,912,914,919,921,925,953,959,960,
972,1018,1019,1021,1022,1023,1024,1025,1052,1057,1058,1059,1062,1063,1064,
1124,1129,1130,1133,1143,1144,1151,1153,1154,1158,1160,1162,1165,1184,1185,
1186,1187,1192,1198,1203,1204,1205,1210,1256,1258,1259,1260,1295,1359,1360,
1361,1362,1366,1367,1368,1369,1370,1371,1372,1377,1407,1408,1409,1418,1425,
1442,1452,1453,1467,1473,1474,1479,1480,1503,1535,1536,1537,1538,1539,1540,
1541,1595,1596,1597,1599,1600,1602,1603,1604,1606,1608,1633,1638,1639,1650,
1720,1721,1722,1723,1724,1725,1726,1727,1728,1737,1741,1744,1745,1767,1775,
1858,1861,1862,1869,1884,1885,1886,1958,1959,1960,1991],[1,2,3,4,5,6,7,8,9,10,
11,12,13,14,15,19,22,24,27,28,30,32,36,40,41,42,43,44,45,46,50,51,52,53,54,55,
56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,82,
87,89,95,96,97,98,99,129,130,136,137,138,139,148,151,174,183,184,185,186,187,
188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,
207,208,218,220,221,226,227,228,229,234,235,236,238,239,240,241,246,248,250,
253,255,257,259,263,264,265,266,270,271,273,274,276,277,278,279,280,281,282,
283,294,298,299,334,335,336,337,415,416,419,428,429,430,431,432,457,458,459,
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,
517,518,519,520,521,522,523,524,543,544,547,568,569,572,573,581,602,605,607,
617,619,625,627,655,657,658,659,660,661,694,699,700,797,798,799,800,807,808,
809,810,812,813,815,816,817,818,819,820,821,822,823,831,832,833,836,837,840,
841,842,843,844,845,846,847,848,849,850,851,852,853,854,855,857,858,863,864,
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,
903,904,905,925,994,1018,1019,1020,1021,1022,1023,1024,1025,1026,1027,1028,
1029,1030,1031,1032,1033,1034,1035,1036,1037,1038,1039,1040,1041,1042,1043,
1044,1045,1046,1047,1048,1086,1128,1129,1132,1133,1134,1135,1143,1144,1146,
1147,1148,1149,1150,1179,1180,1182,1184,1185,1190,1191,1196,1198,1199,1201,
1202,1223,1224,1225,1226,1227,1228,1229,1230,1231,1232,1233,1234,1235,1236,
1237,1238,1239,1240,1241,1242,1243,1244,1245,1246,1247,1248,1249,1257,1359,
1360,1361,1362,1363,1364,1365,1366,1367,1368,1369,1370,1371,1372,1373,1374,
1375,1376,1379,1380,1381,1382,1383,1384,1385,1386,1387,1388,1389,1390,1391,
1392,1393,1394,1395,1396,1397,1450,1452,1455,1456,1492,1493,1496,1497,1520,
1521,1522,1523,1524,1526,1527,1528,1529,1530,1531,1532,1595,1596,1597,1599,
1600,1601,1602,1603,1616,1617,1618,1619,1620,1621,1622,1623,1655,1691,1692,
1693,1694,1695,1696,1697,1698,1699,1700,1701,1702,1703,1704,1705,1706,1707,
1708,1737,1757,1808,1809,1810,1811,1812,1813,1814,1815,1816,1817,1818,1819,
1820,1821,1822,1823,1824,1825,1826,1827,1828,1829,1830,1831,1832,1833,1834,
1835,1836,1837,1838,1904,1905,1906,1907,1908,1909,1910,1911,1912,1913,1914,
1915,1916,1917,1918,1919,1920,1921,1922,1963,1964,1965,1966,1967,1968,1969,
1992],[1,2,3,4,5,6,9,11,14,15,16,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,
33,34,35,36,37,38,39,40,41,47,50,51,52,53,54,55,56,58,65,67,68,69,70,71,81,82,
83,84,85,86,87,88,89,90,91,92,93,94,95,100,101,102,103,104,105,106,107,108,
111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,
130,131,132,133,134,135,136,137,140,141,142,143,144,145,146,147,148,149,150,
151,152,153,154,155,156,157,158,165,166,167,172,173,174,197,209,210,211,218,
219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,
238,242,244,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,270,
271,272,274,275,276,286,287,288,289,290,291,292,293,294,295,296,297,298,300,
301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,
320,321,322,338,339,340,341,342,343,344,346,347,348,349,350,358,359,360,361,
362,363,364,365,366,367,368,369,370,371,372,373,374,375,376,377,378,379,380,
381,382,383,384,385,386,387,388,389,390,391,392,393,394,395,400,401,402,403,
405,406,407,408,409,410,411,412,413,414,415,416,417,418,419,420,421,422,423,
433,434,435,444,462,470,472,480,481,482,483,525,526,527,528,529,530,531,532,
533,534,541,542,543,544,545,546,547,548,549,550,551,552,553,554,555,556,557,
558,559,560,561,562,563,564,565,566,567,568,569,570,571,572,573,574,575,576,
579,583,584,585,586,587,588,591,592,593,594,595,596,597,601,602,603,604,605,
606,607,608,610,611,612,613,614,615,616,617,618,619,620,621,622,623,624,625,
626,627,628,629,630,631,632,633,634,635,668,669,670,671,672,673,674,675,676,
677,678,679,680,681,682,683,684,687,688,689,690,691,692,693,694,695,696,701,
702,703,704,705,706,707,708,709,710,711,712,713,714,715,716,717,718,719,720,
727,728,729,730,731,732,733,734,735,736,743,744,747,748,749,750,751,752,753,
754,755,756,757,758,761,762,763,764,765,766,767,768,769,770,771,774,775,776,
789,790,807,811,812,813,814,825,827,829,831,832,833,834,835,836,837,838,839,
840,844,845,851,852,853,854,855,856,857,858,906,907,908,909,910,911,912,913,
914,915,916,920,921,922,923,924,925,926,927,928,929,930,931,932,933,934,935,
936,937,938,939,940,945,946,947,948,953,954,955,956,957,958,959,960,961,962,
963,964,965,966,967,968,970,972,973,974,975,976,977,978,980,981,982,983,984,
985,986,987,988,989,990,991,993,994,995,996,997,998,999,1001,1002,1003,1004,
1051,1052,1065,1066,1068,1069,1070,1071,1072,1073,1074,1075,1076,1077,1078,
1088,1089,1090,1100,1105,1106,1124,1126,1128,1129,1130,1131,1132,1137,1139,
1140,1141,1142,1143,1144,1145,1146,1157,1158,1159,1160,1161,1164,1165,1166,
1173,1174,1175,1176,1179,1180,1181,1182,1183,1184,1185,1186,1187,1188,1189,
1190,1191,1192,1193,1194,1195,1196,1197,1199,1200,1201,1202,1250,1251,1252,
1253,1254,1255,1256,1261,1262,1263,1264,1265,1266,1267,1268,1269,1271,1272,
1273,1274,1275,1276,1277,1279,1280,1281,1282,1283,1285,1286,1287,1288,1289,
1290,1293,1294,1295,1296,1297,1298,1299,1300,1301,1302,1303,1304,1305,1306,
1307,1308,1309,1310,1311,1312,1313,1314,1321,1322,1323,1324,1325,1328,1329,
1330,1331,1332,1333,1334,1335,1336,1337,1338,1339,1340,1341,1342,1343,1344,
1345,1404,1405,1406,1407,1408,1409,1426,1441,1442,1443,1447,1448,1450,1451,
1452,1453,1454,1455,1460,1462,1463,1464,1465,1466,1471,1472,1473,1474,1475,
1476,1477,1478,1479,1480,1481,1482,1487,1488,1489,1490,1491,1492,1493,1494,
1495,1496,1497,1498,1499,1500,1525,1542,1543,1544,1545,1546,1547,1548,1549,
1550,1551,1555,1556,1557,1558,1559,1560,1562,1563,1564,1565,1566,1567,1571,
1572,1573,1574,1579,1580,1581,1582,1626,1627,1628,1629,1630,1631,1632,1633,
1634,1635,1636,1637,1638,1639,1649,1650,1651,1653,1654,1655,1656,1658,1659,
1660,1661,1662,1663,1664,1665,1713,1729,1730,1758,1759,1760,1761,1762,1763,
1764,1765,1766,1767,1768,1769,1770,1771,1776,1851,1852,1853,1877,1878,1927,
1928,1929,1930,1931,1932,1933,1970,1971,1972,1973,1974,1975,1976,1993],[1,2,3,
5,9,10,11,12,13,14,16,20,21,26,27,28,47,50,51,52,53,54,56,57,58,59,65,66,67,
69,72,81,86,87,100,102,115,121,195,196,197,198,199,200,201,202,203,204,205,
206,207,208,210,218,219,220,223,224,225,226,227,229,231,232,234,242,243,244,
245,252,253,260,261,262,270,284,285,288,461,462,463,464,465,466,470,471,472,
473,474,475,476,478,479,480,482,484,487,488,489,490,492,511,521,522,532,541,
542,543,548,549,554,556,557,559,565,567,573,575,576,577,579,580,583,586,589,
594,632,633,636,657,658,659,660,661,662,665,807,808,809,811,812,824,825,826,
827,828,829,830,831,832,841,848,851,852,859,860,861,862,919,920,932,938,945,
1018,1019,1020,1021,1022,1023,1025,1026,1032,1033,1034,1035,1036,1041,1051,
1052,1057,1059,1124,1125,1126,1127,1128,1136,1137,1138,1139,1143,1151,1152,
1154,1155,1157,1162,1164,1167,1168,1170,1172,1178,1206,1217,1257,1258,1359,
1360,1362,1368,1369,1370,1377,1378,1379,1386,1405,1407,1441,1444,1457,1470,
1484,1526,1527,1528,1533,1534,1535,1536,1537,1594,1596,1598,1599,1604,1605,
1610,1611,1691,1694,1695,1713,1714,1716,1720,1722,1734,1738,1774,1775,1808,
1851,1879,1880,1881,1884,1949,1951,1981,1994],[1,3,4,9,10,11,12,13,20,22,23,
26,27,29,30,47,51,53,55,58,60,67,68,73,75,113,115,116,127,130,141,142,195,196,
197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,223,225,227,228,
230,233,235,242,243,244,245,248,249,252,253,254,255,260,261,262,284,285,363,
465,467,470,474,476,477,480,481,485,486,491,493,496,502,507,511,515,519,523,
524,526,554,555,558,564,566,572,574,584,586,587,590,592,594,595,599,601,616,
617,620,621,632,634,637,638,657,658,659,660,661,662,663,664,665,666,667,818,
824,825,826,828,829,830,832,833,834,835,836,847,851,853,859,860,861,862,889,
919,931,961,975,981,1021,1022,1024,1027,1033,1036,1037,1040,1042,1051,1052,
1058,1063,1152,1153,1156,1157,1158,1159,1163,1167,1169,1171,1173,1174,1177,
1180,1181,1184,1204,1206,1207,1211,1214,1217,1218,1221,1257,1258,1259,1260,
1366,1369,1371,1377,1378,1382,1386,1387,1404,1408,1469,1471,1483,1506,1515,
1527,1529,1533,1534,1535,1536,1538,1602,1605,1606,1607,1610,1612,1613,1619,
1695,1696,1697,1713,1715,1718,1721,1724,1742,1749,1774,1775,1818,1852,1879,
1880,1882,1885,1950,1953,1981,1995],[1,3,5,6,9,10,11,12,13,20,24,25,26,27,31,
32,47,51,52,53,56,58,65,66,67,69,70,71,72,74,80,114,115,117,147,148,152,153,
195,196,197,198,199,200,201,202,203,204,205,206,207,208,210,223,225,227,236,
242,243,244,245,246,247,250,251,252,253,256,257,258,259,260,261,262,274,284,
285,369,465,470,471,472,473,474,475,476,478,479,480,482,483,487,490,492,501,
510,511,512,513,514,518,520,521,522,533,554,585,586,588,591,593,594,596,597,
598,600,604,605,608,609,612,613,624,625,628,629,632,635,639,657,658,659,660,
661,662,665,824,825,826,828,829,830,832,837,838,839,840,842,844,849,851,854,
859,860,861,862,888,890,919,967,973,977,997,1021,1022,1023,1025,1032,1033,
1034,1035,1036,1038,1039,1041,1047,1048,1051,1052,1062,1064,1152,1157,1160,
1161,1167,1175,1176,1182,1183,1199,1203,1205,1206,1208,1209,1210,1212,1213,
1215,1216,1217,1219,1220,1222,1257,1258,1367,1369,1377,1378,1380,1383,1384,
1386,1388,1389,1406,1409,1472,1504,1508,1513,1517,1527,1528,1532,1533,1534,
1535,1536,1539,1605,1608,1609,1610,1614,1615,1617,1621,1695,1698,1699,1713,
1717,1719,1723,1725,1743,1750,1774,1775,1819,1853,1879,1880,1883,1886,1952,
1954,1981,1996],[1,3,4,6,11,13,22,25,26,29,32,34,37,40,47,48,49,58,67,68,70,
71,74,75,80,126,127,132,133,136,152,155,166,205,209,210,211,212,215,247,248,
251,252,254,257,259,260,262,269,274,276,278,285,400,402,405,410,423,511,512,
513,515,518,526,528,530,533,534,535,538,601,610,612,614,616,619,628,630,635,
639,652,656,665,666,667,789,861,888,889,890,891,893,909,911,914,984,985,991,
992,1001,1014,1015,1049,1050,1051,1061,1062,1063,1064,1214,1219,1220,1237,
1253,1343,1349,1352,1353,1354,1398,1401,1404,1406,1422,1425,1511,1516,1534,
1587,1628,1629,1632,1647,1685,1689,1717,1718,1719,1763,1806,1856,1857,1902,
1939,1982,1997],[1,3,4,7,11,13,22,26,29,37,42,45,47,48,49,58,67,68,75,78,79,
127,133,138,175,178,179,205,209,210,211,212,215,216,217,248,252,254,260,262,
269,281,285,405,424,426,511,515,517,526,528,530,536,539,601,616,649,653,656,
665,666,667,793,861,889,897,898,911,985,992,1014,1015,1017,1049,1050,1051,
1061,1063,1214,1239,1346,1350,1352,1356,1358,1400,1402,1404,1422,1511,1534,
1589,1629,1686,1689,1718,1806,1856,1982,1998],[1,3,4,8,11,13,22,26,29,37,43,
44,47,48,49,58,67,68,75,76,77,127,133,139,176,177,180,205,209,210,211,212,213,
214,215,248,252,254,260,262,269,280,285,405,425,427,511,515,516,526,528,530,
537,540,601,616,650,654,656,665,666,667,794,861,889,895,896,911,985,992,1014,
1015,1016,1049,1050,1051,1061,1063,1214,1238,1347,1351,1352,1355,1357,1399,
1403,1404,1422,1511,1534,1588,1629,1687,1689,1718,1806,1856,1982,1999],[1,2,3,
4,9,10,14,15,20,21,22,23,33,34,47,48,49,50,51,53,54,55,57,59,60,81,82,83,92,
113,118,125,126,195,209,210,211,212,215,218,220,221,223,224,228,229,230,231,
239,242,243,267,284,286,291,358,359,371,461,464,465,466,467,525,526,527,532,
534,535,538,541,544,545,555,556,560,561,583,584,589,640,656,662,663,664,668,
808,809,810,816,818,824,906,909,910,921,953,956,957,969,1014,1015,1052,1053,
1054,1057,1058,1059,1060,1133,1151,1153,1154,1250,1293,1315,1352,1353,1354,
1407,1408,1410,1413,1418,1419,1467,1501,1535,1587,1633,1635,1636,1642,1671,
1690,1720,1721,1722,1765,1807,1858,1859,1903,1942,1983,2000],[1,3,4,8,9,10,20,
22,23,33,43,44,47,48,49,51,53,55,60,61,64,113,125,139,160,162,164,195,209,210,
211,212,213,214,215,223,228,230,242,243,265,267,284,358,397,399,465,467,469,
525,526,527,537,540,555,584,643,644,656,662,663,664,746,818,821,822,824,906,
956,969,1014,1015,1016,1052,1053,1054,1058,1060,1150,1153,1318,1319,1352,1355,
1357,1408,1412,1414,1419,1501,1535,1588,1635,1675,1690,1721,1807,1859,1983,
2001],[1,3,4,7,9,10,20,22,23,33,42,45,47,48,49,51,53,55,60,62,63,113,125,138,
159,161,163,195,209,210,211,212,215,216,217,223,228,230,242,243,266,267,284,
358,396,398,465,467,468,525,526,527,536,539,555,584,642,645,656,662,663,664,
745,818,820,823,824,906,956,969,1014,1015,1017,1052,1053,1054,1058,1060,1149,
1153,1317,1320,1352,1356,1358,1408,1411,1415,1419,1501,1535,1589,1635,1674,
1690,1721,1807,1859,1983,2002],[1,3,4,5,9,11,12,20,21,22,23,24,25,26,28,29,34,
35,36,47,48,49,51,52,53,55,56,58,65,66,67,68,69,72,73,113,114,118,121,122,126,
127,128,129,132,140,165,196,209,210,211,212,215,224,225,226,228,231,233,234,
236,238,242,244,245,246,247,248,249,250,251,260,261,268,270,271,273,284,285,
359,360,361,375,376,400,401,471,474,475,476,477,478,479,525,526,527,528,530,
532,533,534,535,538,559,560,563,564,567,568,571,584,585,591,592,593,598,601,
602,603,610,611,633,636,646,656,662,663,664,665,666,667,747,828,841,842,843,
847,848,849,850,859,906,909,910,911,914,933,957,958,959,970,971,972,982,984,
1014,1015,1051,1052,1055,1056,1057,1058,1059,1060,1061,1062,1063,1064,1168,
1169,1172,1198,1203,1204,1205,1250,1253,1305,1322,1326,1352,1353,1354,1404,
1405,1408,1409,1416,1417,1418,1419,1422,1425,1485,1502,1503,1533,1536,1587,
1626,1627,1628,1636,1637,1639,1642,1647,1677,1689,1690,1714,1715,1716,1723,
1724,1725,1758,1771,1806,1807,1854,1855,1860,1861,1902,1903,1934,1945,1984,
2003],[1,3,4,9,11,20,21,22,23,25,26,27,29,30,34,47,48,49,51,53,55,58,67,68,
113,115,116,118,119,126,127,130,132,141,142,197,209,210,211,212,215,224,228,
231,242,247,248,251,260,284,285,359,363,365,372,374,382,400,470,480,481,525,
526,527,528,529,530,531,532,533,534,535,538,560,584,586,587,601,610,632,634,
656,662,663,664,665,666,667,748,827,833,838,851,853,906,907,908,909,910,911,
912,913,914,915,916,919,957,961,963,980,981,984,1014,1015,1051,1052,1057,1058,
1059,1060,1061,1062,1063,1064,1165,1184,1187,1250,1251,1252,1253,1254,1255,
1256,1258,1259,1260,1306,1329,1352,1353,1354,1404,1408,1418,1419,1420,1421,
1422,1423,1424,1425,1479,1525,1537,1538,1539,1540,1541,1587,1628,1636,1642,
1643,1644,1645,1646,1647,1689,1690,1713,1726,1727,1728,1772,1773,1806,1807,
1852,1862,1902,1903,1930,1948,1985,2004],[1,2,3,4,5,6,9,11,12,13,14,15,16,17,
18,20,21,22,23,24,25,26,27,28,29,30,31,32,35,36,37,38,39,47,50,51,52,53,54,55,
56,58,65,66,67,68,69,70,71,74,81,82,83,84,85,86,87,88,89,90,91,93,94,100,101,
102,103,104,105,106,107,108,113,114,115,116,117,118,119,120,121,122,123,124,
127,128,129,130,133,134,135,141,142,144,145,147,148,149,150,152,153,154,172,
196,197,199,205,206,209,210,211,218,219,220,221,222,225,228,229,232,233,236,
237,242,244,245,246,247,248,250,252,253,254,256,257,258,260,261,262,268,269,
270,271,272,274,275,285,286,287,288,289,290,292,293,294,296,297,300,301,302,
303,304,305,307,309,310,311,312,313,315,317,318,319,338,339,340,341,342,343,
344,360,363,366,369,372,375,378,383,384,389,405,406,407,408,411,462,470,471,
472,473,476,478,480,481,482,483,511,512,513,514,526,528,530,532,533,542,544,
546,550,551,564,565,576,577,578,579,583,584,585,586,587,588,591,594,596,600,
601,602,604,605,606,608,609,612,613,616,618,624,626,632,633,634,635,647,659,
665,669,671,673,677,678,687,688,689,691,703,704,707,714,750,761,807,811,812,
813,814,828,829,830,833,835,837,839,842,844,851,852,853,854,855,856,859,861,
862,888,910,911,913,923,935,936,937,938,939,940,945,946,947,948,953,954,955,
958,961,964,967,970,971,973,980,981,982,985,986,987,988,990,992,993,997,998,
1032,1036,1038,1051,1052,1061,1062,1068,1125,1126,1127,1129,1131,1140,1143,
1144,1145,1169,1170,1173,1175,1184,1185,1188,1189,1194,1199,1200,1203,1206,
1208,1213,1214,1215,1216,1217,1219,1255,1262,1264,1266,1267,1268,1270,1271,
1273,1275,1277,1278,1279,1280,1281,1285,1286,1294,1308,1323,1331,1334,1337,
1378,1380,1386,1388,1404,1405,1406,1407,1408,1409,1422,1445,1447,1452,1454,
1463,1464,1487,1488,1502,1504,1511,1512,1513,1534,1536,1543,1548,1555,1594,
1612,1614,1617,1627,1629,1631,1633,1634,1637,1645,1653,1666,1667,1669,1678,
1682,1683,1713,1717,1723,1735,1752,1753,1761,1766,1777,1780,1851,1852,1853,
1856,1860,1864,1880,1927,1928,1931,1937,1940,1952,1971,1988,2005],[1,2,3,4,5,
6,9,10,11,12,14,16,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,35,36,38,
39,40,47,50,51,52,53,54,55,56,57,58,65,66,67,68,69,70,71,81,84,85,86,87,90,91,
100,101,102,104,105,106,107,108,111,113,114,115,116,117,119,120,121,123,124,
125,127,128,129,130,131,132,134,136,140,141,142,143,145,146,147,148,149,150,
151,152,153,154,155,156,158,172,195,196,197,198,200,209,210,211,219,220,222,
223,225,226,227,228,229,230,231,232,234,236,237,238,242,243,244,245,248,249,
256,257,258,259,260,261,267,268,270,272,274,275,276,284,287,288,290,305,306,
309,310,313,314,317,318,320,338,339,340,342,343,346,348,349,358,360,361,362,
363,364,365,367,369,370,381,383,385,386,389,390,391,392,394,407,410,414,415,
417,421,433,434,435,461,462,463,465,466,470,472,474,478,479,480,481,482,483,
492,525,526,527,532,533,548,550,552,554,555,556,557,565,567,568,570,573,575,
576,577,579,580,582,583,584,585,586,587,588,592,596,597,600,601,608,618,619,
622,623,632,633,634,635,647,657,662,675,677,679,707,708,710,711,727,728,729,
731,743,752,753,768,809,811,812,814,824,825,826,828,831,833,834,839,840,844,
845,848,851,852,853,854,856,857,859,860,906,913,914,927,932,936,937,938,940,
945,947,948,954,955,956,958,959,960,961,962,963,965,967,968,969,970,971,976,
981,983,987,990,991,997,998,999,1018,1022,1025,1051,1052,1059,1060,1072,1136,
1137,1138,1140,1141,1143,1145,1152,1153,1154,1155,1158,1161,1167,1170,1172,
1179,1184,1186,1188,1190,1193,1199,1200,1201,1204,1208,1209,1212,1252,1263,
1273,1274,1277,1278,1280,1282,1285,1287,1288,1289,1291,1298,1300,1302,1303,
1310,1311,1321,1325,1336,1342,1360,1369,1370,1377,1404,1405,1406,1407,1408,
1409,1419,1458,1460,1463,1465,1470,1473,1475,1484,1492,1494,1501,1502,1507,
1533,1535,1546,1559,1564,1596,1598,1606,1609,1626,1631,1632,1634,1635,1639,
1644,1658,1667,1668,1670,1672,1676,1680,1713,1716,1722,1739,1744,1746,1760,
1768,1781,1783,1851,1852,1853,1855,1859,1867,1879,1928,1929,1933,1936,1941,
1951,1973,1987,2006],[1,2,3,4,5,9,10,11,12,14,15,16,17,20,21,22,23,24,25,26,
27,28,29,30,33,34,35,36,47,50,51,52,53,54,55,58,59,65,67,68,69,72,81,82,83,84,
85,86,87,88,89,92,100,101,102,103,113,114,115,116,118,119,120,121,122,125,126,
127,128,129,130,131,132,140,141,142,143,165,195,196,197,198,200,209,210,211,
218,219,220,221,223,224,225,226,227,228,229,230,231,242,243,244,245,246,247,
248,249,250,251,260,261,267,268,270,271,284,286,287,288,289,291,292,293,294,
295,300,301,302,305,306,307,308,358,359,360,361,362,363,364,365,371,372,373,
374,375,376,377,381,382,391,392,400,401,461,462,464,465,470,471,474,475,480,
481,482,484,490,525,526,527,532,534,541,542,543,544,545,548,549,554,555,556,
559,560,561,576,579,583,584,585,586,587,589,591,592,593,598,601,602,603,610,
611,632,633,634,636,640,646,657,662,668,669,670,671,672,675,676,681,682,701,
702,743,747,748,757,807,808,812,813,824,825,826,827,828,833,834,837,838,841,
851,852,853,855,859,860,906,909,910,920,921,935,936,938,939,945,946,953,954,
956,957,958,959,960,961,962,963,969,970,971,972,980,981,982,983,984,1019,1022,
1023,1051,1052,1057,1060,1065,1124,1125,1129,1130,1136,1143,1144,1151,1152,
1153,1154,1158,1160,1162,1165,1167,1168,1184,1185,1186,1187,1192,1203,1204,
1205,1210,1250,1262,1263,1264,1265,1271,1272,1293,1294,1295,1296,1298,1299,
1302,1303,1305,1306,1315,1321,1322,1326,1329,1330,1362,1368,1369,1377,1404,
1405,1407,1408,1419,1442,1444,1452,1453,1457,1467,1473,1474,1479,1480,1501,
1502,1503,1533,1535,1542,1545,1571,1599,1604,1606,1608,1626,1627,1628,1633,
1635,1636,1642,1650,1669,1670,1671,1672,1676,1677,1713,1714,1720,1741,1744,
1745,1758,1765,1786,1788,1851,1852,1855,1859,1869,1879,1927,1929,1930,1934,
1942,1949,1970,1987,2007],[1,3,4,9,10,11,12,20,22,23,26,27,29,30,33,35,37,41,
47,51,53,55,58,60,67,68,73,113,115,116,125,127,128,130,131,133,135,137,141,
142,143,144,157,173,195,196,197,198,200,209,210,211,223,225,227,228,230,233,
235,242,243,244,245,248,249,252,253,254,255,260,261,267,268,284,358,360,362,
363,364,366,368,391,392,393,395,405,406,408,409,411,412,413,419,420,422,465,
467,470,474,476,477,480,481,485,491,525,526,527,528,529,530,531,554,555,558,
564,566,572,574,584,586,587,590,592,594,595,599,601,616,617,620,621,632,634,
637,641,648,657,662,663,664,743,744,750,751,755,756,774,775,776,818,824,825,
826,828,829,832,833,834,835,836,847,851,853,858,859,860,906,907,908,911,912,
915,916,931,956,958,960,961,962,964,966,969,970,971,975,981,983,985,986,988,
989,1021,1022,1024,1051,1052,1058,1060,1100,1152,1153,1156,1157,1158,1159,
1163,1167,1169,1171,1173,1174,1180,1181,1184,1186,1189,1191,1204,1206,1207,
1211,1251,1302,1303,1304,1308,1309,1313,1314,1316,1321,1323,1324,1327,1334,
1335,1340,1341,1366,1369,1371,1377,1404,1408,1419,1420,1421,1469,1471,1473,
1476,1483,1487,1489,1496,1498,1501,1502,1506,1533,1535,1573,1579,1602,1605,
1606,1607,1626,1629,1630,1635,1637,1638,1643,1662,1672,1673,1676,1678,1679,
1713,1715,1721,1742,1744,1747,1759,1770,1791,1796,1852,1855,1859,1871,1879,
1929,1931,1932,1935,1943,1950,1975,1987,2008],[1,3,4,9,11,12,13,20,22,23,26,
27,29,30,33,35,37,41,47,51,53,55,58,67,68,73,75,113,115,116,125,127,128,130,
131,133,135,137,141,142,143,144,157,173,196,197,199,205,206,209,210,211,223,
225,227,228,230,233,235,242,244,245,248,249,252,253,254,255,260,261,262,268,
269,285,358,360,362,363,364,366,368,391,392,393,395,405,406,408,409,411,412,
413,419,420,422,470,474,476,477,480,481,486,511,515,519,525,526,527,528,529,
530,531,554,555,558,564,566,572,574,584,586,587,592,594,595,599,601,616,617,
620,621,632,634,637,638,648,651,659,665,666,667,743,744,750,751,755,756,774,
775,776,825,828,829,830,832,833,834,835,836,847,851,853,858,859,861,862,889,
906,907,908,911,912,915,916,931,956,958,960,961,962,964,966,970,971,975,981,
983,985,986,988,989,992,1033,1036,1037,1051,1052,1061,1063,1100,1157,1158,
1159,1167,1169,1171,1173,1174,1177,1180,1181,1184,1186,1189,1191,1204,1206,
1207,1214,1217,1218,1221,1251,1302,1303,1304,1308,1309,1313,1314,1321,1323,
1324,1327,1334,1335,1340,1341,1348,1378,1382,1386,1387,1404,1408,1422,1423,
1424,1471,1473,1476,1483,1487,1489,1496,1498,1502,1506,1511,1515,1534,1536,
1573,1579,1610,1612,1613,1619,1626,1629,1630,1635,1637,1638,1646,1662,1676,
1678,1679,1682,1684,1713,1718,1724,1749,1752,1754,1759,1770,1796,1798,1852,
1856,1860,1873,1880,1929,1931,1932,1938,1944,1953,1975,1988,2009],[1,3,4,5,6,
9,11,12,13,20,21,22,23,24,25,26,27,28,29,30,31,32,34,35,36,37,39,40,47,51,52,
53,55,56,58,67,68,69,70,71,72,80,113,114,115,116,117,118,119,121,122,123,126,
127,128,129,130,132,133,134,135,136,140,141,142,144,146,147,148,150,151,152,
153,154,155,156,165,166,196,197,199,205,206,209,210,211,224,225,226,228,231,
233,234,236,238,242,244,245,247,248,250,251,252,253,254,257,258,259,260,261,
262,268,269,274,276,285,359,360,361,363,365,366,367,369,370,372,374,375,376,
378,380,382,383,384,385,388,400,401,402,403,405,406,407,408,410,411,414,415,
418,421,423,433,434,470,472,475,476,479,480,481,483,487,511,513,518,520,526,
528,530,533,534,559,560,563,564,567,568,571,584,585,586,587,588,593,594,597,
598,601,608,610,612,614,616,619,624,625,628,629,630,632,633,634,635,636,639,
646,652,659,665,747,748,749,750,752,753,754,761,762,766,767,770,771,789,790,
827,828,829,830,831,833,835,838,840,844,845,849,851,853,854,857,859,861,862,
890,909,911,914,933,957,958,959,961,963,964,965,967,968,970,971,977,980,981,
982,984,985,986,987,988,990,991,992,997,999,1001,1034,1036,1039,1051,1052,
1061,1064,1105,1164,1165,1166,1168,1169,1172,1173,1176,1178,1179,1184,1187,
1189,1190,1195,1199,1201,1205,1206,1209,1214,1215,1217,1219,1220,1222,1253,
1305,1306,1307,1308,1310,1311,1312,1322,1323,1325,1326,1329,1331,1332,1334,
1336,1337,1338,1343,1344,1345,1349,1378,1384,1386,1389,1404,1406,1408,1409,
1422,1478,1479,1482,1485,1487,1490,1492,1495,1502,1508,1511,1516,1517,1534,
1536,1574,1580,1581,1611,1612,1615,1621,1628,1629,1632,1636,1637,1639,1647,
1664,1677,1678,1680,1682,1683,1685,1713,1719,1725,1751,1752,1755,1763,1771,
1797,1799,1852,1853,1856,1860,1875,1880,1930,1931,1933,1939,1945,1954,1976,
1988,2010],[1,2,3,4,5,9,10,11,12,13,14,15,16,17,20,21,22,23,24,26,27,28,29,30,
36,47,50,51,52,53,54,55,56,57,58,59,60,65,66,67,68,69,72,73,75,81,82,83,84,86,
87,88,89,100,101,102,103,113,115,116,118,121,122,127,129,130,141,142,195,196,
197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,218,219,220,221,
222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,242,
243,244,245,246,248,249,250,252,253,254,255,260,261,262,270,271,273,284,285,
286,288,289,292,294,301,302,305,307,363,375,461,462,463,464,465,466,467,470,
471,472,473,474,475,476,477,478,479,480,481,482,484,485,486,487,488,489,490,
491,492,493,496,502,507,511,515,519,521,522,523,524,526,532,541,542,543,544,
545,546,547,548,549,550,551,552,553,554,555,556,557,558,559,560,561,562,563,
564,565,566,567,568,569,570,571,572,573,574,575,576,577,579,580,583,584,586,
587,589,590,592,594,595,599,601,602,616,617,620,621,632,633,634,636,637,638,
657,658,659,660,661,662,663,664,665,666,667,671,807,808,809,810,811,812,813,
814,815,816,818,824,825,826,827,828,829,830,831,832,833,834,835,836,837,841,
842,843,844,845,846,847,848,849,850,851,852,853,855,859,860,861,862,863,867,
869,889,900,901,910,919,920,921,922,923,924,925,926,927,928,929,930,931,932,
933,934,935,936,938,939,941,945,946,949,953,961,975,981,982,1018,1019,1020,
1021,1022,1023,1024,1025,1026,1027,1032,1033,1034,1035,1036,1037,1040,1041,
1042,1051,1052,1057,1058,1059,1063,1124,1125,1126,1127,1128,1129,1130,1131,
1132,1133,1136,1137,1138,1139,1140,1141,1142,1143,1144,1151,1152,1153,1154,
1155,1156,1157,1158,1159,1162,1163,1164,1165,1166,1167,1168,1169,1170,1171,
1172,1173,1174,1177,1178,1179,1180,1181,1184,1185,1198,1204,1206,1207,1211,
1214,1217,1218,1221,1257,1258,1259,1260,1261,1264,1271,1359,1360,1361,1362,
1363,1366,1367,1368,1369,1370,1371,1372,1377,1378,1379,1380,1381,1382,1384,
1385,1386,1387,1404,1405,1407,1408,1418,1441,1442,1443,1444,1445,1446,1447,
1448,1449,1450,1451,1452,1457,1458,1459,1460,1461,1462,1467,1468,1469,1470,
1471,1478,1483,1484,1485,1486,1506,1515,1526,1527,1528,1529,1533,1534,1535,
1536,1537,1538,1594,1595,1596,1597,1598,1599,1600,1602,1603,1604,1605,1606,
1607,1610,1611,1612,1613,1616,1619,1627,1633,1649,1652,1657,1691,1692,1694,
1695,1696,1697,1698,1700,1713,1714,1715,1716,1718,1720,1721,1722,1724,1726,
1734,1735,1736,1737,1738,1739,1740,1741,1742,1749,1751,1774,1775,1808,1809,
1810,1817,1818,1851,1852,1854,1858,1863,1866,1879,1880,1881,1882,1884,1885,
1904,1927,1949,1950,1951,1953,1955,1958,1981,1986,1994,1995,2011],[1,3,4,9,10,
11,12,13,20,22,23,26,27,29,30,41,47,51,53,55,58,60,67,68,73,75,113,115,116,
127,130,131,135,137,141,142,195,196,197,198,199,200,201,202,203,204,205,206,
207,208,209,210,211,223,225,227,228,230,233,235,242,243,244,245,248,249,252,
253,254,255,260,261,262,284,285,362,363,368,406,409,419,420,465,467,470,474,
476,477,480,481,485,486,491,493,496,502,507,511,515,519,523,524,526,529,531,
554,555,558,564,566,572,574,584,586,587,590,592,594,595,599,601,616,617,620,
621,632,634,637,638,657,658,659,660,661,662,663,664,665,666,667,755,818,824,
825,826,828,829,830,832,833,834,835,836,847,851,853,858,859,860,861,862,876,
885,889,903,905,912,919,931,960,961,966,975,981,986,989,1021,1022,1024,1027,
1033,1036,1037,1040,1042,1051,1052,1058,1063,1152,1153,1156,1157,1158,1159,
1163,1167,1169,1171,1173,1174,1177,1180,1181,1184,1186,1189,1191,1204,1206,
1207,1211,1214,1217,1218,1221,1257,1258,1259,1260,1313,1335,1366,1369,1371,
1377,1378,1382,1386,1387,1404,1408,1469,1471,1473,1476,1483,1487,1489,1496,
1498,1506,1515,1527,1529,1533,1534,1535,1536,1538,1540,1541,1602,1605,1606,
1607,1610,1612,1613,1619,1630,1638,1662,1695,1696,1697,1706,1707,1713,1715,
1718,1721,1724,1727,1742,1744,1747,1749,1752,1754,1774,1775,1818,1823,1852,
1871,1873,1879,1880,1882,1885,1913,1932,1950,1953,1956,1959,1981,1995,2012],[
1,3,4,5,6,9,10,11,12,13,20,22,23,24,25,26,27,28,29,30,31,32,36,39,40,47,51,52,
53,55,56,58,60,65,66,67,68,69,70,71,72,73,74,75,80,113,114,115,116,117,127,
129,130,132,134,136,140,141,142,146,147,148,150,151,152,153,155,156,195,196,
197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,223,225,226,227,
228,230,233,234,235,236,238,242,243,244,245,246,247,248,249,250,251,252,253,
254,255,256,257,258,259,260,261,262,270,271,272,273,274,275,276,278,284,285,
361,363,367,369,370,407,410,415,421,433,434,465,467,470,471,472,473,474,475,
476,477,478,479,480,481,482,483,485,486,487,490,491,492,493,496,501,502,507,
510,511,512,513,514,515,518,519,520,521,522,523,524,526,533,554,555,558,564,
566,568,572,574,584,585,586,587,588,590,591,592,593,594,595,596,597,598,599,
600,601,602,603,604,605,606,607,608,609,610,611,612,613,614,615,616,617,618,
619,620,621,622,623,624,625,626,627,628,629,630,631,632,634,635,637,638,639,
657,658,659,660,661,662,663,664,665,666,667,753,818,824,825,826,828,829,830,
831,832,833,834,835,836,837,838,839,840,841,842,843,844,845,846,847,848,849,
850,851,852,853,854,855,856,857,859,860,861,862,869,875,886,888,889,890,891,
893,894,900,901,914,919,931,959,961,965,967,968,972,973,974,975,976,977,978,
979,981,987,991,993,994,995,996,997,999,1000,1001,1002,1003,1004,1021,1022,
1023,1024,1025,1027,1032,1033,1034,1035,1036,1037,1038,1039,1040,1041,1042,
1047,1048,1051,1052,1058,1062,1063,1064,1152,1153,1156,1157,1158,1159,1160,
1161,1163,1167,1169,1171,1173,1174,1175,1176,1177,1179,1180,1181,1182,1183,
1184,1185,1187,1188,1190,1192,1193,1194,1195,1196,1197,1198,1199,1201,1203,
1204,1205,1206,1207,1208,1209,1210,1211,1212,1213,1214,1215,1216,1217,1218,
1219,1220,1221,1222,1237,1257,1258,1259,1260,1311,1328,1336,1366,1367,1368,
1369,1370,1371,1372,1377,1378,1379,1380,1381,1382,1383,1384,1385,1386,1387,
1388,1389,1390,1393,1404,1406,1408,1409,1425,1469,1471,1472,1474,1475,1477,
1483,1488,1490,1491,1492,1497,1499,1500,1503,1504,1505,1506,1507,1508,1509,
1510,1512,1513,1514,1515,1516,1517,1518,1519,1527,1528,1529,1532,1533,1534,
1535,1536,1538,1539,1602,1603,1605,1606,1607,1608,1609,1610,1612,1613,1614,
1615,1616,1617,1618,1619,1620,1621,1622,1632,1639,1663,1681,1688,1694,1695,
1696,1697,1698,1699,1700,1705,1713,1715,1717,1718,1719,1721,1723,1724,1725,
1728,1742,1743,1745,1746,1748,1749,1750,1753,1755,1756,1757,1774,1775,1817,
1818,1819,1822,1824,1852,1853,1857,1861,1872,1874,1879,1880,1882,1883,1885,
1886,1911,1933,1950,1952,1953,1954,1957,1960,1981,1989,1995,1996,2013],[1,3,4,
6,7,8,11,13,22,25,26,29,32,34,37,40,42,43,44,45,46,47,48,49,58,67,68,70,71,74,
75,76,77,78,79,80,126,127,132,133,136,138,139,152,155,166,168,169,170,171,175,
176,177,178,179,180,183,184,185,186,205,209,210,211,212,213,214,215,216,217,
247,248,251,252,254,257,259,260,262,269,274,276,277,278,279,280,281,282,283,
285,400,402,404,405,410,423,424,425,426,427,428,445,446,447,448,511,512,513,
515,516,517,518,526,528,530,533,534,535,536,537,538,539,540,601,610,612,614,
616,619,628,630,635,639,649,650,652,653,654,655,656,665,666,667,789,791,792,
793,794,803,804,861,888,889,890,891,892,893,895,896,897,898,899,909,911,914,
917,918,984,985,991,992,1001,1011,1013,1014,1015,1016,1017,1049,1050,1051,
1061,1062,1063,1064,1123,1214,1219,1220,1237,1238,1239,1240,1241,1242,1243,
1253,1343,1346,1347,1349,1350,1351,1352,1353,1354,1355,1356,1357,1358,1398,
1399,1400,1401,1402,1403,1404,1406,1422,1425,1511,1516,1522,1534,1584,1586,
1587,1588,1589,1590,1591,1592,1593,1624,1625,1628,1629,1632,1647,1685,1686,
1687,1689,1717,1718,1719,1733,1763,1805,1806,1856,1857,1902,1939,1982,1997,
1998,1999,2014],[1,2,3,4,7,8,9,10,14,15,19,20,21,22,23,33,34,42,43,44,45,47,
48,49,50,51,53,54,55,57,59,60,61,62,63,64,81,82,83,92,96,97,98,99,113,118,125,
126,138,139,159,160,161,162,163,164,168,169,170,171,195,209,210,211,212,213,
214,215,216,217,218,220,221,223,224,228,229,230,231,239,240,241,242,243,263,
264,265,266,267,284,286,291,299,323,324,325,326,358,359,371,396,397,398,399,
404,461,464,465,466,467,468,469,525,526,527,532,534,535,536,537,538,539,540,
541,544,545,555,556,560,561,581,583,584,589,640,642,643,644,645,656,662,663,
664,668,685,686,745,746,759,760,808,809,810,816,817,818,819,820,821,822,823,
824,906,909,910,917,918,921,953,956,957,969,1005,1006,1014,1015,1016,1017,
1052,1053,1054,1057,1058,1059,1060,1067,1133,1134,1135,1147,1148,1149,1150,
1151,1153,1154,1250,1293,1315,1317,1318,1319,1320,1352,1353,1354,1355,1356,
1357,1358,1407,1408,1410,1411,1412,1413,1414,1415,1418,1419,1456,1467,1501,
1535,1575,1576,1587,1588,1589,1590,1591,1592,1593,1633,1635,1636,1640,1641,
1642,1671,1674,1675,1690,1720,1721,1722,1733,1765,1790,1807,1858,1859,1903,
1942,1983,2000,2001,2002,2015],[1,2,3,4,5,6,9,11,12,13,14,15,16,17,18,20,21,
22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,47,50,51,52,53,54,
55,56,58,65,66,67,68,69,70,71,72,73,74,75,80,81,82,83,84,85,86,87,88,89,90,91,
92,93,94,95,100,101,102,103,104,105,106,107,108,111,112,113,114,115,116,117,
118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,
137,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,
158,165,166,167,172,173,174,196,197,199,205,206,209,210,211,218,219,220,221,
222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,242,244,
245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,268,
269,270,271,272,273,274,275,276,278,285,286,287,288,289,290,291,292,293,294,
295,296,297,298,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,
315,316,317,318,319,320,321,322,338,339,340,341,342,343,344,346,347,348,349,
350,358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,374,375,
376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,394,
395,400,401,402,403,405,406,407,408,409,410,411,412,413,414,415,416,417,418,
419,420,421,422,423,433,434,435,444,462,470,471,472,473,474,475,476,477,478,
479,480,481,482,483,486,487,511,512,513,514,515,518,519,520,525,526,527,528,
529,530,531,532,533,534,541,542,543,544,545,546,547,548,549,550,551,552,553,
554,555,556,557,558,559,560,561,562,563,564,565,566,567,568,569,570,571,572,
573,574,575,576,577,578,579,583,584,585,586,587,588,591,592,593,594,595,596,
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,
635,636,637,638,639,646,647,648,651,652,659,665,666,667,668,669,670,671,672,
673,674,675,676,677,678,679,680,681,682,683,684,687,688,689,690,691,692,693,
694,695,696,701,702,703,704,705,706,707,708,709,710,711,712,713,714,715,716,
717,718,719,720,727,728,729,730,731,732,733,734,735,736,743,744,747,748,749,
750,751,752,753,754,755,756,757,758,761,762,763,764,765,766,767,768,769,770,
771,774,775,776,789,790,807,811,812,813,814,825,827,828,829,830,831,832,833,
834,835,836,837,838,839,840,841,842,843,844,845,846,847,848,849,850,851,852,
853,854,855,856,857,858,859,861,862,888,889,890,891,893,894,906,907,908,909,
910,911,912,913,914,915,916,920,921,922,923,924,925,926,927,928,929,930,931,
932,933,934,935,936,937,938,939,940,941,943,945,946,947,948,953,954,955,956,
957,958,959,960,961,962,963,964,965,966,967,968,970,971,972,973,974,975,976,
977,978,979,980,981,982,983,984,985,986,987,988,989,990,991,992,993,994,995,
996,997,998,999,1000,1001,1002,1003,1004,1009,1032,1033,1034,1036,1037,1038,
1039,1051,1052,1061,1062,1063,1064,1065,1066,1068,1069,1070,1071,1072,1073,
1074,1075,1076,1077,1078,1088,1089,1090,1100,1105,1106,1124,1125,1126,1127,
1128,1129,1130,1131,1132,1137,1139,1140,1141,1142,1143,1144,1145,1146,1157,
1158,1159,1160,1161,1164,1165,1166,1167,1168,1169,1170,1171,1172,1173,1174,
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,
1205,1206,1207,1208,1209,1213,1214,1215,1216,1217,1218,1219,1220,1221,1222,
1237,1250,1251,1252,1253,1254,1255,1256,1261,1262,1263,1264,1265,1266,1267,
1268,1269,1270,1271,1272,1273,1274,1275,1276,1277,1278,1279,1280,1281,1282,
1283,1285,1286,1287,1288,1289,1290,1293,1294,1295,1296,1297,1298,1299,1300,
1301,1302,1303,1304,1305,1306,1307,1308,1309,1310,1311,1312,1313,1314,1321,
1322,1323,1324,1325,1326,1327,1328,1329,1330,1331,1332,1333,1334,1335,1336,
1337,1338,1339,1340,1341,1342,1343,1344,1345,1348,1349,1378,1379,1380,1381,
1382,1383,1384,1386,1387,1388,1389,1390,1404,1405,1406,1407,1408,1409,1422,
1423,1424,1425,1426,1441,1442,1443,1444,1445,1446,1447,1448,1449,1450,1451,
1452,1453,1454,1455,1460,1462,1463,1464,1465,1466,1471,1472,1473,1474,1475,
1476,1477,1478,1479,1480,1481,1482,1483,1484,1485,1486,1487,1488,1489,1490,
1491,1492,1493,1494,1495,1496,1497,1498,1499,1500,1502,1503,1504,1505,1506,
1507,1508,1509,1511,1512,1513,1514,1515,1516,1517,1518,1519,1525,1534,1536,
1542,1543,1544,1545,1546,1547,1548,1549,1550,1551,1553,1555,1556,1557,1558,
1559,1560,1561,1562,1563,1564,1565,1566,1567,1571,1572,1573,1574,1579,1580,
1581,1582,1594,1610,1611,1612,1613,1614,1615,1616,1617,1618,1619,1620,1621,
1622,1626,1627,1628,1629,1630,1631,1632,1633,1634,1635,1636,1637,1638,1639,
1645,1646,1647,1649,1650,1651,1652,1653,1654,1655,1656,1658,1659,1660,1661,
1662,1663,1664,1665,1666,1667,1669,1676,1677,1678,1679,1680,1681,1682,1683,
1684,1685,1688,1713,1717,1718,1719,1723,1724,1725,1729,1730,1734,1735,1736,
1749,1750,1751,1752,1753,1754,1755,1756,1757,1758,1759,1760,1761,1762,1763,
1764,1765,1766,1767,1768,1769,1770,1771,1773,1776,1777,1778,1780,1781,1782,
1786,1787,1796,1797,1798,1799,1800,1851,1852,1853,1856,1857,1860,1861,1863,
1864,1865,1873,1874,1875,1876,1877,1878,1880,1887,1890,1927,1928,1929,1930,
1931,1932,1933,1937,1938,1939,1940,1944,1945,1946,1952,1953,1954,1970,1971,
1972,1973,1974,1975,1976,1978,1979,1988,1989,1993,2005,2009,2010,2016],[1,2,3,
4,5,6,9,10,11,12,14,15,16,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,
35,36,37,38,39,40,41,47,50,51,52,53,54,55,56,57,58,59,60,65,66,67,68,69,70,71,
72,73,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,100,101,102,103,104,105,
106,107,108,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,
127,128,129,130,131,132,133,134,135,136,137,140,141,142,143,144,145,146,147,
148,149,150,151,152,153,154,155,156,157,158,165,166,167,172,173,174,195,196,
197,198,200,209,210,211,218,219,220,221,222,223,224,225,226,227,228,229,230,
231,232,233,234,235,236,237,238,239,242,243,244,245,246,247,248,249,250,251,
252,253,254,255,256,257,258,259,260,261,267,268,270,271,272,273,274,275,276,
284,286,287,288,289,290,291,292,293,294,295,296,297,298,300,301,302,303,304,
305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,338,
339,340,341,342,343,344,346,347,348,349,350,358,359,360,361,362,363,364,365,
366,367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,
385,386,387,388,389,390,391,392,393,394,395,400,401,402,403,405,406,407,408,
409,410,411,412,413,414,415,416,417,418,419,420,421,422,423,433,434,435,444,
461,462,463,464,465,466,467,470,471,472,474,475,476,477,478,479,480,481,482,
483,484,485,490,491,492,525,526,527,528,529,530,531,532,533,534,541,542,543,
544,545,546,547,548,549,550,551,552,553,554,555,556,557,558,559,560,561,562,
563,564,565,566,567,568,569,570,571,572,573,574,575,576,577,579,580,582,583,
584,585,586,587,588,589,590,591,592,593,594,595,596,597,598,599,600,601,602,
603,604,605,606,607,608,610,611,612,613,614,615,616,617,618,619,620,621,622,
623,624,625,626,627,628,629,630,631,632,633,634,635,636,637,640,641,646,647,
648,657,662,663,664,668,669,670,671,672,673,674,675,676,677,678,679,680,681,
682,683,684,687,688,689,690,691,692,693,694,695,696,701,702,703,704,705,706,
707,708,709,710,711,712,713,714,715,716,717,718,719,720,727,728,729,730,731,
732,733,734,735,736,743,744,747,748,749,750,751,752,753,754,755,756,757,758,
761,762,763,764,765,766,767,768,769,770,771,774,775,776,789,790,807,808,809,
810,811,812,813,814,815,816,818,824,825,826,827,828,829,831,832,833,834,835,
836,837,838,839,840,841,842,843,844,845,847,848,849,850,851,852,853,854,855,
856,857,858,859,860,869,906,907,908,909,910,911,912,913,914,915,916,920,921,
922,923,924,925,926,927,928,929,930,931,932,933,934,935,936,937,938,939,940,
941,945,946,947,948,949,951,953,954,955,956,957,958,959,960,961,962,963,964,
965,966,967,968,969,970,971,972,973,974,975,976,977,978,979,980,981,982,983,
984,985,986,987,988,989,990,991,993,994,995,996,997,998,999,1001,1002,1003,
1004,1009,1018,1019,1021,1022,1023,1024,1025,1051,1052,1057,1058,1059,1060,
1065,1066,1068,1069,1070,1071,1072,1073,1074,1075,1076,1077,1078,1088,1089,
1090,1100,1105,1106,1124,1125,1126,1128,1129,1130,1131,1132,1133,1136,1137,
1138,1139,1140,1141,1142,1143,1144,1145,1146,1151,1152,1153,1154,1155,1156,
1157,1158,1159,1160,1161,1162,1163,1164,1165,1166,1167,1168,1169,1170,1171,
1172,1173,1174,1175,1176,1179,1180,1181,1182,1183,1184,1185,1186,1187,1188,
1189,1190,1191,1192,1193,1194,1195,1196,1197,1198,1199,1200,1201,1202,1203,
1204,1205,1206,1207,1208,1209,1210,1211,1212,1250,1251,1252,1253,1254,1255,
1256,1261,1262,1263,1264,1265,1266,1267,1268,1269,1271,1272,1273,1274,1275,
1276,1277,1278,1279,1280,1281,1282,1283,1285,1286,1287,1288,1289,1290,1291,
1293,1294,1295,1296,1297,1298,1299,1300,1301,1302,1303,1304,1305,1306,1307,
1308,1309,1310,1311,1312,1313,1314,1315,1316,1321,1322,1323,1324,1325,1326,
1327,1328,1329,1330,1331,1332,1333,1334,1335,1336,1337,1338,1339,1340,1341,
1342,1343,1344,1345,1359,1360,1361,1362,1366,1367,1368,1369,1370,1371,1372,
1377,1404,1405,1406,1407,1408,1409,1418,1419,1420,1421,1426,1441,1442,1443,
1444,1445,1446,1447,1448,1450,1451,1452,1453,1454,1455,1457,1458,1459,1460,
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,
1506,1507,1508,1509,1510,1525,1533,1535,1542,1543,1544,1545,1546,1547,1548,
1549,1550,1551,1555,1556,1557,1558,1559,1560,1561,1562,1563,1564,1565,1566,
1567,1568,1571,1572,1573,1574,1579,1580,1581,1582,1595,1596,1597,1598,1599,
1600,1602,1603,1604,1605,1606,1607,1608,1609,1626,1627,1628,1629,1630,1631,
1632,1633,1634,1635,1636,1637,1638,1639,1642,1643,1644,1649,1650,1651,1652,
1653,1654,1655,1656,1657,1658,1659,1660,1661,1662,1663,1664,1665,1667,1668,
1669,1670,1671,1672,1673,1676,1677,1678,1679,1680,1681,1713,1714,1715,1716,
1720,1721,1722,1729,1730,1737,1738,1739,1740,1741,1742,1743,1744,1745,1746,
1747,1748,1758,1759,1760,1761,1762,1763,1764,1765,1766,1767,1768,1769,1770,
1771,1772,1776,1780,1781,1782,1783,1784,1786,1787,1788,1789,1791,1796,1797,
1851,1852,1853,1854,1855,1858,1859,1866,1867,1868,1869,1870,1871,1872,1877,
1878,1879,1890,1891,1927,1928,1929,1930,1931,1932,1933,1934,1935,1936,1941,
1942,1943,1947,1949,1950,1951,1970,1971,1972,1973,1974,1975,1976,1977,1980,
1986,1987,1993,2006,2007,2008,2017],[1,3,4,9,11,12,13,20,22,23,26,27,29,30,35,
37,47,48,49,51,53,55,58,67,68,73,75,113,115,116,127,128,130,133,135,141,142,
144,196,197,199,205,206,209,210,211,212,215,225,228,233,242,244,245,248,249,
252,253,254,255,260,261,262,268,269,284,285,360,363,366,405,406,408,411,470,
474,476,477,480,481,486,511,515,519,525,526,527,528,529,530,531,564,584,586,
587,592,594,595,599,601,616,617,620,621,632,634,638,656,659,662,663,664,665,
666,667,750,828,829,830,833,835,847,851,853,859,861,862,889,906,907,908,911,
912,915,916,919,958,961,964,970,971,975,981,985,986,988,992,1014,1015,1033,
1036,1037,1049,1050,1051,1052,1055,1056,1058,1060,1061,1063,1169,1173,1184,
1189,1204,1206,1207,1214,1217,1218,1251,1258,1259,1260,1308,1323,1334,1352,
1378,1382,1386,1387,1404,1408,1419,1420,1421,1422,1423,1424,1487,1502,1506,
1511,1515,1533,1534,1536,1538,1540,1541,1612,1619,1626,1629,1630,1637,1643,
1646,1678,1682,1689,1690,1713,1715,1718,1724,1727,1752,1759,1774,1806,1807,
1852,1855,1856,1860,1880,1882,1931,1935,1938,1948,1953,1956,1982,1984,1985,
1988,2018],[1,3,4,9,10,11,12,20,22,23,26,27,29,30,33,35,47,48,49,51,53,55,58,
60,67,68,73,113,115,116,125,127,128,130,131,141,142,143,195,196,197,198,200,
209,210,211,212,215,223,225,227,228,230,233,235,242,243,244,245,248,249,260,
261,267,268,284,285,358,360,362,363,364,391,392,465,467,470,474,476,477,480,
481,485,491,525,526,527,528,529,530,531,554,555,558,564,566,572,574,584,586,
587,590,592,601,632,634,637,656,657,662,663,664,665,666,667,743,818,824,825,
826,828,833,834,847,851,853,859,860,906,907,908,911,912,915,916,919,931,956,
958,960,961,962,969,970,971,981,983,1014,1015,1021,1022,1024,1051,1052,1053,
1054,1055,1056,1058,1060,1061,1063,1152,1153,1156,1158,1167,1169,1171,1184,
1186,1204,1251,1258,1259,1260,1302,1303,1321,1352,1366,1369,1371,1377,1404,
1408,1419,1420,1421,1422,1423,1424,1469,1473,1483,1501,1502,1533,1535,1536,
1538,1540,1541,1602,1606,1626,1635,1637,1638,1643,1646,1672,1676,1689,1690,
1713,1715,1721,1724,1727,1744,1770,1775,1806,1807,1852,1855,1859,1860,1879,
1885,1929,1943,1944,1948,1950,1959,1983,1984,1985,1987,2019],[1,2,3,4,5,6,9,
10,11,12,13,14,15,16,17,20,21,22,23,24,25,26,27,28,29,30,31,32,36,39,40,41,47,
50,51,52,53,54,55,56,57,58,59,60,65,66,67,68,69,70,71,72,73,74,75,80,81,82,83,
84,86,87,88,89,91,95,100,101,102,103,113,114,115,116,117,118,121,122,127,129,
130,131,132,134,135,136,137,140,141,142,146,147,148,149,150,151,152,153,155,
156,174,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,
218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,
237,238,239,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,
258,259,260,261,262,270,271,272,273,274,275,276,278,284,285,286,288,289,292,
294,295,297,298,301,302,305,307,310,312,314,316,361,362,363,367,368,369,370,
373,374,375,379,380,406,407,409,410,415,416,417,418,419,420,421,433,434,461,
462,463,464,465,466,467,470,471,472,473,474,475,476,477,478,479,480,481,482,
483,484,485,486,487,488,489,490,491,492,493,496,501,502,507,510,511,512,513,
514,515,518,519,520,521,522,523,524,526,529,531,532,533,541,542,543,544,545,
546,547,548,549,550,551,552,553,554,555,556,557,558,559,560,561,562,563,564,
565,566,567,568,569,570,571,572,573,574,575,576,577,579,580,583,584,585,586,
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,
625,626,627,628,629,630,631,632,633,634,635,636,637,638,639,657,658,659,660,
661,662,663,664,665,666,667,670,671,674,688,690,694,695,708,709,715,716,753,
755,764,766,807,808,809,810,811,812,813,814,815,816,818,824,825,826,827,828,
829,830,831,832,833,834,835,836,837,838,839,840,841,842,843,844,845,846,847,
848,849,850,851,852,853,854,855,856,857,858,859,860,861,862,863,867,869,875,
876,885,886,888,889,890,891,893,894,900,901,903,905,910,912,914,919,920,921,
922,923,924,925,926,927,928,929,930,931,932,933,934,935,936,938,939,941,945,
946,949,953,959,960,961,965,966,967,968,972,973,974,975,976,977,978,979,981,
982,986,987,989,991,993,994,995,996,997,999,1000,1001,1002,1003,1004,1018,
1019,1020,1021,1022,1023,1024,1025,1026,1027,1032,1033,1034,1035,1036,1037,
1038,1039,1040,1041,1042,1047,1048,1051,1052,1057,1058,1059,1062,1063,1064,
1070,1124,1125,1126,1127,1128,1129,1130,1131,1132,1133,1136,1137,1138,1139,
1140,1141,1142,1143,1144,1145,1146,1151,1152,1153,1154,1155,1156,1157,1158,
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,
1219,1220,1221,1222,1225,1228,1237,1244,1245,1256,1257,1258,1259,1260,1261,
1264,1267,1269,1271,1274,1276,1295,1297,1311,1313,1328,1335,1336,1338,1339,
1359,1360,1361,1362,1363,1366,1367,1368,1369,1370,1371,1372,1377,1378,1379,
1380,1381,1382,1383,1384,1385,1386,1387,1388,1389,1390,1393,1404,1405,1406,
1407,1408,1409,1418,1425,1441,1442,1443,1444,1445,1446,1447,1448,1449,1450,
1451,1452,1453,1454,1455,1457,1458,1459,1460,1461,1462,1463,1464,1465,1466,
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,
1497,1498,1499,1500,1503,1504,1505,1506,1507,1508,1509,1510,1512,1513,1514,
1515,1516,1517,1518,1519,1526,1527,1528,1529,1532,1533,1534,1535,1536,1537,
1538,1539,1540,1541,1549,1556,1594,1595,1596,1597,1598,1599,1600,1602,1603,
1604,1605,1606,1607,1608,1609,1610,1611,1612,1613,1614,1615,1616,1617,1618,
1619,1620,1621,1622,1627,1630,1632,1633,1638,1639,1649,1650,1651,1652,1653,
1654,1655,1656,1657,1658,1659,1660,1661,1662,1663,1664,1665,1681,1688,1691,
1692,1694,1695,1696,1697,1698,1699,1700,1705,1706,1707,1713,1714,1715,1716,
1717,1718,1719,1720,1721,1722,1723,1724,1725,1726,1727,1728,1734,1735,1736,
1737,1738,1739,1740,1741,1742,1743,1744,1745,1746,1747,1748,1749,1750,1751,
1752,1753,1754,1755,1756,1757,1762,1767,1774,1775,1776,1808,1809,1810,1815,
1816,1817,1818,1819,1822,1823,1824,1825,1826,1851,1852,1853,1854,1857,1858,
1861,1862,1863,1864,1865,1866,1867,1868,1869,1870,1871,1872,1873,1874,1875,
1876,1879,1880,1881,1882,1883,1884,1885,1886,1904,1906,1911,1912,1913,1927,
1932,1933,1946,1947,1949,1950,1951,1952,1953,1954,1955,1956,1957,1958,1959,
1960,1963,1972,1981,1986,1989,1990,1991,1994,1995,1996,2011,2012,2013,2020],[
1,3,4,5,6,9,11,12,13,20,21,22,23,24,25,26,27,28,29,30,31,32,34,35,36,37,39,40,
47,48,49,51,52,53,55,56,58,65,66,67,68,69,70,71,72,73,74,75,80,113,114,115,
116,117,118,119,121,122,123,126,127,128,129,130,132,133,134,135,136,140,141,
142,144,146,147,148,150,151,152,153,154,155,156,165,166,196,197,199,205,206,
209,210,211,212,215,224,225,226,228,231,233,234,236,238,242,244,245,246,247,
248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,268,269,270,271,
272,273,274,275,276,278,284,285,359,360,361,363,365,366,367,369,370,372,374,
375,376,378,380,382,383,384,385,388,400,401,402,403,405,406,407,408,410,411,
414,415,418,421,423,433,434,470,471,472,473,474,475,476,477,478,479,480,481,
483,486,487,511,512,513,514,515,518,519,520,525,526,527,528,529,530,531,532,
533,534,535,538,559,560,563,564,567,568,571,584,585,586,587,588,591,592,593,
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,
632,633,634,635,636,638,639,646,652,656,659,662,663,664,665,666,667,747,748,
749,750,752,753,754,761,762,766,767,770,771,789,790,827,828,829,830,831,833,
835,838,840,841,842,843,844,845,846,847,848,849,850,851,853,854,857,859,861,
862,888,889,890,891,893,894,906,907,908,909,910,911,912,913,914,915,916,919,
933,957,958,959,961,963,964,965,967,968,970,971,972,973,974,975,976,977,978,
979,980,981,982,984,985,986,987,988,990,991,992,993,994,995,996,997,999,1000,
1001,1002,1003,1004,1014,1015,1032,1033,1034,1036,1037,1038,1039,1049,1050,
1051,1052,1055,1056,1057,1058,1059,1060,1061,1062,1063,1064,1105,1164,1165,
1166,1168,1169,1172,1173,1176,1178,1179,1184,1187,1189,1190,1195,1198,1199,
1201,1203,1204,1205,1206,1207,1208,1209,1213,1214,1215,1217,1218,1219,1220,
1222,1237,1250,1251,1252,1253,1254,1255,1256,1258,1259,1260,1305,1306,1307,
1308,1310,1311,1312,1322,1323,1325,1326,1328,1329,1331,1332,1334,1336,1337,
1338,1343,1344,1345,1349,1352,1353,1354,1378,1379,1380,1381,1382,1383,1384,
1386,1387,1388,1389,1390,1398,1401,1404,1405,1406,1408,1409,1416,1417,1418,
1419,1420,1421,1422,1423,1424,1425,1478,1479,1482,1485,1487,1490,1492,1495,
1502,1503,1504,1505,1506,1507,1508,1509,1511,1512,1513,1514,1515,1516,1517,
1518,1525,1533,1534,1536,1537,1538,1539,1540,1541,1574,1580,1581,1587,1611,
1612,1615,1616,1617,1618,1619,1620,1621,1622,1626,1627,1628,1629,1630,1631,
1632,1636,1637,1639,1642,1643,1644,1645,1646,1647,1664,1677,1678,1680,1681,
1682,1683,1685,1688,1689,1690,1713,1714,1715,1716,1717,1718,1719,1723,1724,
1725,1726,1727,1728,1751,1752,1755,1757,1758,1759,1760,1761,1762,1763,1764,
1771,1772,1773,1774,1797,1799,1806,1807,1852,1853,1854,1855,1856,1857,1860,
1861,1862,1875,1877,1880,1881,1882,1883,1902,1903,1930,1931,1933,1934,1935,
1936,1937,1938,1939,1945,1948,1952,1953,1954,1955,1956,1957,1976,1977,1978,
1982,1984,1985,1988,1989,1990,1997,2003,2004,2010,2018,2021],[1,2,3,4,5,9,10,
11,12,14,15,16,17,20,21,22,23,24,25,26,27,28,29,30,33,34,35,36,47,48,49,50,51,
52,53,54,55,56,57,58,59,60,65,66,67,68,69,72,73,81,82,83,84,85,86,87,88,89,92,
100,101,102,103,113,114,115,116,118,119,120,121,122,125,126,127,128,129,130,
131,132,140,141,142,143,165,195,196,197,198,200,209,210,211,212,215,218,219,
220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,
239,242,243,244,245,246,247,248,249,250,251,260,261,267,268,270,271,273,284,
285,286,287,288,289,291,292,293,294,295,300,301,302,305,306,307,308,358,359,
360,361,362,363,364,365,371,372,373,374,375,376,377,381,382,391,392,400,401,
461,462,463,464,465,466,467,470,471,474,475,476,477,478,479,480,481,482,484,
485,490,491,492,525,526,527,528,529,530,531,532,533,534,535,538,541,542,543,
544,545,546,547,548,549,550,551,552,553,554,555,556,557,558,559,560,561,562,
563,564,565,566,567,568,569,570,571,572,573,574,575,576,577,579,580,583,584,
585,586,587,589,590,591,592,593,598,601,602,603,610,611,632,633,634,636,637,
640,646,656,657,662,663,664,665,666,667,668,669,670,671,672,675,676,681,682,
701,702,743,747,748,757,807,808,809,810,812,813,815,816,818,824,825,826,827,
828,833,834,837,838,841,842,843,847,848,849,850,851,852,853,855,859,860,869,
906,907,908,909,910,911,912,913,914,915,916,919,920,921,922,923,924,925,926,
927,928,929,930,931,932,933,934,935,936,938,939,941,945,946,949,953,954,956,
957,958,959,960,961,962,963,969,970,971,972,980,981,982,983,984,1014,1015,
1018,1019,1021,1022,1023,1024,1025,1051,1052,1053,1054,1055,1056,1057,1058,
1059,1060,1061,1062,1063,1064,1065,1124,1125,1129,1130,1133,1136,1143,1144,
1151,1152,1153,1154,1155,1156,1158,1160,1162,1165,1167,1168,1169,1170,1171,
1172,1184,1185,1186,1187,1192,1198,1203,1204,1205,1210,1250,1251,1252,1253,
1254,1255,1256,1258,1259,1260,1261,1262,1263,1264,1265,1271,1272,1293,1294,
1295,1296,1298,1299,1302,1303,1305,1306,1315,1321,1322,1326,1329,1330,1352,
1353,1354,1359,1360,1361,1362,1366,1367,1368,1369,1370,1371,1372,1377,1404,
1405,1407,1408,1409,1410,1413,1416,1417,1418,1419,1420,1421,1422,1423,1424,
1425,1442,1444,1445,1446,1452,1453,1457,1458,1459,1467,1468,1469,1470,1473,
1474,1479,1480,1483,1484,1485,1486,1501,1502,1503,1525,1533,1535,1536,1537,
1538,1539,1540,1541,1542,1545,1571,1587,1595,1596,1597,1599,1600,1602,1603,
1604,1606,1608,1626,1627,1628,1633,1634,1635,1636,1637,1638,1639,1642,1643,
1644,1645,1646,1647,1650,1652,1657,1669,1670,1671,1672,1676,1677,1689,1690,
1713,1714,1715,1716,1720,1721,1722,1723,1724,1725,1726,1727,1728,1737,1741,
1744,1745,1758,1765,1766,1767,1768,1769,1770,1771,1772,1773,1775,1786,1788,
1806,1807,1851,1852,1854,1855,1858,1859,1860,1861,1862,1869,1878,1879,1884,
1885,1886,1902,1903,1927,1929,1930,1934,1940,1941,1942,1943,1944,1945,1948,
1949,1950,1951,1958,1959,1960,1970,1979,1980,1983,1984,1985,1986,1987,1991,
2000,2003,2004,2007,2019,2022],[1,3,4,9,10,11,12,13,20,22,23,26,27,29,30,33,
35,37,41,47,48,49,51,53,55,58,60,67,68,73,75,113,115,116,125,127,128,130,131,
133,135,137,141,142,143,144,157,173,195,196,197,198,199,200,201,202,203,204,
205,206,207,208,209,210,211,212,215,223,225,227,228,230,233,235,242,243,244,
245,248,249,252,253,254,255,260,261,262,267,268,269,284,285,358,360,362,363,
364,366,368,391,392,393,395,405,406,408,409,411,412,413,419,420,422,465,467,
470,474,476,477,480,481,485,486,491,493,496,502,507,511,515,519,523,524,525,
526,527,528,529,530,531,554,555,558,564,566,572,574,584,586,587,590,592,594,
595,599,601,616,617,620,621,632,634,637,638,641,648,651,656,657,658,659,660,
661,662,663,664,665,666,667,743,744,750,751,755,756,774,775,776,818,824,825,
826,828,829,830,832,833,834,835,836,847,851,853,858,859,860,861,862,876,885,
889,903,905,906,907,908,911,912,915,916,919,931,956,958,960,961,962,964,966,
969,970,971,975,981,983,985,986,988,989,992,1014,1015,1021,1022,1024,1027,
1033,1036,1037,1040,1042,1049,1050,1051,1052,1053,1054,1055,1056,1058,1060,
1061,1063,1100,1152,1153,1156,1157,1158,1159,1163,1167,1169,1171,1173,1174,
1177,1180,1181,1184,1186,1189,1191,1204,1206,1207,1211,1214,1217,1218,1221,
1251,1257,1258,1259,1260,1302,1303,1304,1308,1309,1313,1314,1316,1321,1323,
1324,1327,1334,1335,1340,1341,1348,1352,1366,1369,1371,1377,1378,1382,1386,
1387,1404,1408,1419,1420,1421,1422,1423,1424,1469,1471,1473,1476,1483,1487,
1489,1496,1498,1501,1502,1506,1511,1515,1527,1529,1533,1534,1535,1536,1538,
1540,1541,1573,1579,1602,1605,1606,1607,1610,1612,1613,1619,1626,1629,1630,
1635,1637,1638,1643,1646,1662,1672,1673,1676,1678,1679,1682,1684,1689,1690,
1695,1696,1697,1706,1707,1709,1710,1711,1712,1713,1715,1718,1721,1724,1727,
1742,1744,1747,1749,1752,1754,1759,1770,1774,1775,1791,1796,1798,1806,1807,
1818,1823,1852,1855,1856,1859,1860,1871,1873,1879,1880,1882,1885,1913,1929,
1931,1932,1935,1938,1943,1944,1948,1950,1953,1956,1959,1975,1981,1982,1983,
1984,1985,1987,1988,1995,2008,2009,2012,2018,2019,2023],[1,2,3,4,5,6,9,10,11,
12,13,14,15,16,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,
39,40,41,47,48,49,50,51,52,53,54,55,56,57,58,59,60,65,66,67,68,69,70,71,72,73,
74,75,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,100,101,102,103,104,105,
106,107,108,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,
127,128,129,130,131,132,133,134,135,136,137,140,141,142,143,144,145,146,147,
148,149,150,151,152,153,154,155,156,157,158,165,166,167,172,173,174,195,196,
197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,215,218,219,
220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,
239,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,
260,261,262,267,268,269,270,271,272,273,274,275,276,278,284,285,286,287,288,
289,290,291,292,293,294,295,296,297,298,300,301,302,303,304,305,306,307,308,
309,310,311,312,313,314,315,316,317,318,319,320,321,322,338,339,340,341,342,
343,344,346,347,348,349,350,358,359,360,361,362,363,364,365,366,367,368,369,
370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,
389,390,391,392,393,394,395,400,401,402,403,405,406,407,408,409,410,411,412,
413,414,415,416,417,418,419,420,421,422,423,433,434,435,444,461,462,463,464,
465,466,467,470,471,472,473,474,475,476,477,478,479,480,481,482,483,484,485,
486,487,488,489,490,491,492,493,496,501,502,507,510,511,512,513,514,515,518,
519,520,521,522,523,524,525,526,527,528,529,530,531,532,533,534,535,538,541,
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,
580,582,583,584,585,586,587,588,589,590,591,592,593,594,595,596,597,598,599,
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,
638,639,640,641,646,647,648,651,652,656,657,658,659,660,661,662,663,664,665,
666,667,668,669,670,671,672,673,674,675,676,677,678,679,680,681,682,683,684,
687,688,689,690,691,692,693,694,695,696,701,702,703,704,705,706,707,708,709,
710,711,712,713,714,715,716,717,718,719,720,727,728,729,730,731,732,733,734,
735,736,743,744,747,748,749,750,751,752,753,754,755,756,757,758,761,762,763,
764,765,766,767,768,769,770,771,774,775,776,789,790,807,808,809,810,811,812,
813,814,815,816,818,824,825,826,827,828,829,830,831,832,833,834,835,836,837,
838,839,840,841,842,843,844,845,846,847,848,849,850,851,852,853,854,855,856,
857,858,859,860,861,862,863,867,869,875,876,885,886,888,889,890,891,893,894,
900,901,903,905,906,907,908,909,910,911,912,913,914,915,916,919,920,921,922,
923,924,925,926,927,928,929,930,931,932,933,934,935,936,937,938,939,940,941,
943,945,946,947,948,949,951,953,954,955,956,957,958,959,960,961,962,963,964,
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,
1002,1003,1004,1009,1014,1015,1018,1019,1020,1021,1022,1023,1024,1025,1026,
1027,1032,1033,1034,1035,1036,1037,1038,1039,1040,1041,1042,1047,1048,1049,
1050,1051,1052,1053,1054,1055,1056,1057,1058,1059,1060,1061,1062,1063,1064,
1065,1066,1068,1069,1070,1071,1072,1073,1074,1075,1076,1077,1078,1088,1089,
1090,1100,1105,1106,1124,1125,1126,1127,1128,1129,1130,1131,1132,1133,1136,
1137,1138,1139,1140,1141,1142,1143,1144,1145,1146,1151,1152,1153,1154,1155,
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,
1216,1217,1218,1219,1220,1221,1222,1225,1228,1237,1244,1245,1250,1251,1252,
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,
1283,1285,1286,1287,1288,1289,1290,1291,1293,1294,1295,1296,1297,1298,1299,
1300,1301,1302,1303,1304,1305,1306,1307,1308,1309,1310,1311,1312,1313,1314,
1315,1316,1321,1322,1323,1324,1325,1326,1327,1328,1329,1330,1331,1332,1333,
1334,1335,1336,1337,1338,1339,1340,1341,1342,1343,1344,1345,1348,1349,1352,
1353,1354,1359,1360,1361,1362,1363,1366,1367,1368,1369,1370,1371,1372,1377,
1378,1379,1380,1381,1382,1383,1384,1385,1386,1387,1388,1389,1390,1393,1398,
1401,1404,1405,1406,1407,1408,1409,1410,1413,1416,1417,1418,1419,1420,1421,
1422,1423,1424,1425,1426,1441,1442,1443,1444,1445,1446,1447,1448,1449,1450,
1451,1452,1453,1454,1455,1457,1458,1459,1460,1461,1462,1463,1464,1465,1466,
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,
1512,1513,1514,1515,1516,1517,1518,1519,1525,1526,1527,1528,1529,1532,1533,
1534,1535,1536,1537,1538,1539,1540,1541,1542,1543,1544,1545,1546,1547,1548,
1549,1550,1551,1553,1555,1556,1557,1558,1559,1560,1561,1562,1563,1564,1565,
1566,1567,1568,1571,1572,1573,1574,1579,1580,1581,1582,1587,1594,1595,1596,
1597,1598,1599,1600,1602,1603,1604,1605,1606,1607,1608,1609,1610,1611,1612,
1613,1614,1615,1616,1617,1618,1619,1620,1621,1622,1626,1627,1628,1629,1630,
1631,1632,1633,1634,1635,1636,1637,1638,1639,1642,1643,1644,1645,1646,1647,
1649,1650,1651,1652,1653,1654,1655,1656,1657,1658,1659,1660,1661,1662,1663,
1664,1665,1666,1667,1668,1669,1670,1671,1672,1673,1676,1677,1678,1679,1680,
1681,1682,1683,1684,1685,1688,1689,1690,1691,1692,1694,1695,1696,1697,1698,
1699,1700,1705,1706,1707,1709,1710,1711,1712,1713,1714,1715,1716,1717,1718,
1719,1720,1721,1722,1723,1724,1725,1726,1727,1728,1729,1730,1734,1735,1736,
1737,1738,1739,1740,1741,1742,1743,1744,1745,1746,1747,1748,1749,1750,1751,
1752,1753,1754,1755,1756,1757,1758,1759,1760,1761,1762,1763,1764,1765,1766,
1767,1768,1769,1770,1771,1772,1773,1774,1775,1776,1777,1778,1780,1781,1782,
1783,1784,1786,1787,1788,1789,1791,1796,1797,1798,1799,1800,1806,1807,1808,
1809,1810,1815,1816,1817,1818,1819,1822,1823,1824,1825,1826,1839,1842,1845,
1848,1851,1852,1853,1854,1855,1856,1857,1858,1859,1860,1861,1862,1863,1864,
1865,1866,1867,1868,1869,1870,1871,1872,1873,1874,1875,1876,1877,1878,1879,
1880,1881,1882,1883,1884,1885,1886,1887,1890,1891,1902,1903,1904,1906,1911,
1912,1913,1927,1928,1929,1930,1931,1932,1933,1934,1935,1936,1937,1938,1939,
1940,1941,1942,1943,1944,1945,1946,1947,1948,1949,1950,1951,1952,1953,1954,
1955,1956,1957,1958,1959,1960,1963,1970,1971,1972,1973,1974,1975,1976,1977,
1978,1979,1980,1981,1982,1983,1984,1985,1986,1987,1988,1989,1990,1991,1993,
1994,1995,1996,1997,2000,2003,2004,2005,2006,2007,2008,2009,2010,2011,2012,
2013,2016,2017,2018,2019,2020,2021,2022,2023,2024],[1,3,4,7,9,10,11,12,13,20,
22,23,26,27,29,30,33,35,37,41,42,45,47,48,49,51,53,55,58,60,62,63,67,68,73,75,
78,79,113,115,116,125,127,128,130,131,133,135,137,138,141,142,143,144,157,159,
161,163,173,175,178,179,187,190,192,193,195,196,197,198,199,200,201,202,203,
204,205,206,207,208,209,210,211,212,215,216,217,223,225,227,228,230,233,235,
242,243,244,245,248,249,252,253,254,255,260,261,262,266,267,268,269,281,284,
285,358,360,362,363,364,366,368,391,392,393,395,396,398,405,406,408,409,411,
412,413,419,420,422,424,426,429,432,436,439,453,454,465,467,468,470,474,476,
477,480,481,485,486,491,493,494,495,496,498,500,502,505,507,508,511,515,517,
519,523,524,525,526,527,528,529,530,531,536,539,554,555,558,564,566,572,574,
584,586,587,590,592,594,595,599,601,616,617,620,621,632,634,637,638,641,642,
645,648,649,651,653,656,657,658,659,660,661,662,663,664,665,666,667,743,744,
745,750,751,755,756,774,775,776,777,779,782,783,787,793,795,799,801,818,820,
823,824,825,826,828,829,830,832,833,834,835,836,847,851,853,858,859,860,861,
862,870,872,873,876,880,884,885,889,897,898,902,903,905,906,907,908,911,912,
915,916,919,931,956,958,960,961,962,964,966,969,970,971,975,981,983,985,986,
988,989,992,1007,1010,1014,1015,1017,1021,1022,1024,1027,1028,1031,1033,1036,
1037,1040,1042,1045,1046,1049,1050,1051,1052,1053,1054,1055,1056,1058,1060,
1061,1063,1100,1101,1104,1115,1117,1119,1121,1149,1152,1153,1156,1157,1158,
1159,1163,1167,1169,1171,1173,1174,1177,1180,1181,1184,1186,1189,1191,1204,
1206,1207,1211,1214,1217,1218,1221,1231,1234,1239,1246,1249,1251,1257,1258,
1259,1260,1302,1303,1304,1308,1309,1313,1314,1316,1317,1320,1321,1323,1324,
1327,1334,1335,1340,1341,1346,1348,1350,1352,1356,1358,1366,1369,1371,1375,
1377,1378,1382,1386,1387,1392,1400,1402,1404,1408,1411,1415,1419,1420,1421,
1422,1423,1424,1437,1469,1471,1473,1476,1483,1487,1489,1496,1498,1501,1502,
1506,1511,1515,1527,1529,1530,1533,1534,1535,1536,1538,1540,1541,1573,1577,
1579,1583,1589,1602,1605,1606,1607,1610,1612,1613,1619,1626,1629,1630,1635,
1637,1638,1643,1646,1662,1672,1673,1674,1676,1678,1679,1682,1684,1686,1689,
1690,1695,1696,1697,1701,1704,1706,1707,1709,1710,1711,1712,1713,1715,1718,
1721,1724,1727,1742,1744,1747,1749,1752,1754,1759,1770,1774,1775,1791,1792,
1794,1796,1798,1801,1803,1806,1807,1818,1820,1823,1828,1829,1836,1837,1840,
1844,1847,1849,1852,1855,1856,1859,1860,1871,1873,1879,1880,1882,1885,1896,
1898,1913,1915,1917,1929,1931,1932,1935,1938,1943,1944,1948,1950,1953,1956,
1959,1968,1975,1981,1982,1983,1984,1985,1987,1988,1995,1998,2002,2008,2009,
2012,2018,2019,2023,2025],[1,3,4,8,9,10,11,12,13,20,22,23,26,27,29,30,33,35,
37,41,43,44,47,48,49,51,53,55,58,60,61,64,67,68,73,75,76,77,113,115,116,125,
127,128,130,131,133,135,137,139,141,142,143,144,157,160,162,164,173,176,177,
180,188,189,191,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,
209,210,211,212,213,214,215,223,225,227,228,230,233,235,242,243,244,245,248,
249,252,253,254,255,260,261,262,265,267,268,269,280,284,285,358,360,362,363,
364,366,368,391,392,393,395,397,399,405,406,408,409,411,412,413,419,420,422,
425,427,430,431,437,438,455,456,465,467,469,470,474,476,477,480,481,485,486,
491,493,496,497,499,502,503,504,506,507,509,511,515,516,519,523,524,525,526,
527,528,529,530,531,537,540,554,555,558,564,566,572,574,584,586,587,590,592,
594,595,599,601,616,617,620,621,632,634,637,638,641,643,644,648,650,651,654,
656,657,658,659,660,661,662,663,664,665,666,667,743,744,746,750,751,755,756,
774,775,776,778,780,781,784,788,794,796,800,802,818,821,822,824,825,826,828,
829,830,832,833,834,835,836,847,851,853,858,859,860,861,862,871,874,876,879,
882,883,885,889,895,896,903,904,905,906,907,908,911,912,915,916,919,931,956,
958,960,961,962,964,966,969,970,971,975,981,983,985,986,988,989,992,1008,1012,
1014,1015,1016,1021,1022,1024,1027,1029,1030,1033,1036,1037,1040,1042,1043,
1044,1049,1050,1051,1052,1053,1054,1055,1056,1058,1060,1061,1063,1100,1102,
1103,1116,1118,1120,1122,1150,1152,1153,1156,1157,1158,1159,1163,1167,1169,
1171,1173,1174,1177,1180,1181,1184,1186,1189,1191,1204,1206,1207,1211,1214,
1217,1218,1221,1230,1235,1238,1247,1248,1251,1257,1258,1259,1260,1302,1303,
1304,1308,1309,1313,1314,1316,1318,1319,1321,1323,1324,1327,1334,1335,1340,
1341,1347,1348,1351,1352,1355,1357,1366,1369,1371,1376,1377,1378,1382,1386,
1387,1391,1399,1403,1404,1408,1412,1414,1419,1420,1421,1422,1423,1424,1438,
1469,1471,1473,1476,1483,1487,1489,1496,1498,1501,1502,1506,1511,1515,1527,
1529,1531,1533,1534,1535,1536,1538,1540,1541,1573,1578,1579,1585,1588,1602,
1605,1606,1607,1610,1612,1613,1619,1626,1629,1630,1635,1637,1638,1643,1646,
1662,1672,1673,1675,1676,1678,1679,1682,1684,1687,1689,1690,1695,1696,1697,
1702,1703,1706,1707,1709,1710,1711,1712,1713,1715,1718,1721,1724,1727,1742,
1744,1747,1749,1752,1754,1759,1770,1774,1775,1791,1793,1795,1796,1798,1802,
1804,1806,1807,1818,1821,1823,1831,1833,1835,1838,1841,1843,1846,1850,1852,
1855,1856,1859,1860,1871,1873,1879,1880,1882,1885,1897,1899,1913,1916,1918,
1929,1931,1932,1935,1938,1943,1944,1948,1950,1953,1956,1959,1969,1975,1981,
1982,1983,1984,1985,1987,1988,1995,1999,2001,2008,2009,2012,2018,2019,2023,
2026],[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,
1672,1673,1674,1675,1676,1677,1678,1679,1680,1681,1682,1683,1684,1685,1686,
1687,1688,1689,1690,1691,1692,1693,1694,1695,1696,1697,1698,1699,1700,1701,
1702,1703,1704,1705,1706,1707,1708,1709,1710,1711,1712,1713,1714,1715,1716,
1717,1718,1719,1720,1721,1722,1723,1724,1725,1726,1727,1728,1729,1730,1731,
1732,1733,1734,1735,1736,1737,1738,1739,1740,1741,1742,1743,1744,1745,1746,
1747,1748,1749,1750,1751,1752,1753,1754,1755,1756,1757,1758,1759,1760,1761,
1762,1763,1764,1765,1766,1767,1768,1769,1770,1771,1772,1773,1774,1775,1776,
1777,1778,1779,1780,1781,1782,1783,1784,1785,1786,1787,1788,1789,1790,1791,
1792,1793,1794,1795,1796,1797,1798,1799,1800,1801,1802,1803,1804,1805,1806,
1807,1808,1809,1810,1811,1812,1813,1814,1815,1816,1817,1818,1819,1820,1821,
1822,1823,1824,1825,1826,1827,1828,1829,1830,1831,1832,1833,1834,1835,1836,
1837,1838,1839,1840,1841,1842,1843,1844,1845,1846,1847,1848,1849,1850,1851,
1852,1853,1854,1855,1856,1857,1858,1859,1860,1861,1862,1863,1864,1865,1866,
1867,1868,1869,1870,1871,1872,1873,1874,1875,1876,1877,1878,1879,1880,1881,
1882,1883,1884,1885,1886,1887,1888,1889,1890,1891,1892,1893,1894,1895,1896,
1897,1898,1899,1900,1901,1902,1903,1904,1905,1906,1907,1908,1909,1910,1911,
1912,1913,1914,1915,1916,1917,1918,1919,1920,1921,1922,1923,1924,1925,1926,
1927,1928,1929,1930,1931,1932,1933,1934,1935,1936,1937,1938,1939,1940,1941,
1942,1943,1944,1945,1946,1947,1948,1949,1950,1951,1952,1953,1954,1955,1956,
1957,1958,1959,1960,1961,1962,1963,1964,1965,1966,1967,1968,1969,1970,1971,
1972,1973,1974,1975,1976,1977,1978,1979,1980,1981,1982,1983,1984,1985,1986,
1987,1988,1989,1990,1991,1992,1993,1994,1995,1996,1997,1998,1999,2000,2001,
2002,2003,2004,2005,2006,2007,2008,2009,2010,2011,2012,2013,2014,2015,2016,
2017,2018,2019,2020,2021,2022,2023,2024,2025,2026,2027]],
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],[
1,2,1,1],[1,2,1,1],[1,1,1,1,1],[1,1,1,1,1],[1,1,1,1,1],[1,1,1,1,1],[1,3,1],[1,
1,1],[1,2,1,1],[1,1,2,1],[1,1,2,1],[1,1,1],[1,3,1],[1,1,1],[1,1,2,1],[1,1,2,
1],[1,1,1],[1,1,1,1,1],[1,1,2,1],[1,3,1],[1,1,1],[1,3,1],[1,1,2,1],[1,3,1],[1,
1,2,1],[1,1,1,1,1],[1,1,2,1],[1,1,1],[1,1,2,1],[1,1,2,1],[1,1,1],[1,1,1],[1,1,
1,1,1],[1,1],[1,1],[1,1],[1,3,1,1],[1,1,1,1],[1,3,1,1],[1,3,1,1],[1,1,1,1],[1,
3,1,1],[1,1,1,1],[1,1,1,1],[1,1,1,1],[1,3,1,1],[1,3,1,1],[1,1,1,1],[1,3,1,1],[
1,1,1,1],[1,3,1,1],[1,1,1,1],[1,1,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,1,1,
1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,1,1,1],[1,3,1,1],[1,1,1,1],[1,3,1,1],[1,3,
1,1],[1,1,1,1],[1,3,1,1],[1,2,3,1,1,1,1],[1,4,2,1,4,2,1,1],[1,2,1,2,1,1,1,1],[
1,2,2,1,2,1,2,2,1,1,1],[1,2,1,2,1,1,1,1],[1,3,3,1,3,3,1,1],[1,2,1,2,1,1,1,1],[
1,3,1,2,1,1,2,1,2,1,1],[1,2,1,2,1,1,1,1],[1,2,1,2,1,1,1,2,2,1,1,1],[1,2,1,2,1,
1,1,1],[1,2,3,1,1,1,1],[1,3,3,1,3,3,1,1],[1,2,3,2,1,4,1,1,1],[1,2,1,2,1,1,1,
1],[1,2,1,2,2,1,4,1,1,1],[1,2,1,1,1,1,1],[1,2,1,2,1,1,1,1],[1,2,1,2,1,1,1,1],[
1,1,3,3,3,1,3,1],[1,1,1,2,3,1,2,1,1,2,1],[1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1,1],[
1,1,2,1,2,1,2,1,1,2,1,1],[1,1,1,2,3,1,2,1,1,2,1],[1,1,1,2,1,2,1,2,1,1,2,1],[1,
1,1,1,1,1,1,1],[1,1,3,2,1,2,1,1,1,2,1],[1,1,1,1,2,2,1,2,1,1,2,1],[1,1,1,1,1,1,
1,1],[1,1,3,3,3,1,3,1],[1,1,1,1,1,1,1,1],[1,4,3,1,3,3,1],[1,3,2,1,1,1,1],[1,5,
1,1,1,1],[1,3,2,1,1,1,1],[1,3,1,3,1,3,3,1],[1,2,1,2,1,1],[1,2,1,1,1,1,1],[1,1,
2,2,1,1,1,1],[1,3,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,1,1,1,1,
1,1],[1,2,5,1,4,2,1],[1,2,1,1,2,1],[1,4,3,3,1,3,1],[1,2,5,1,2,2,2,1],[1,2,1,4,
1,2,2,2,1],[1,2,1,1,1,1,1],[1,2,1,1,2,1],[1,2,1,1,2,1],[1,2,5,1,4,2,1],[1,2,1,
2,2,1,1,2,1,2,1],[1,2,1,1,2,1],[1,2,1,4,1,4,2,1],[1,2,1,1,2,1],[1,2,1,2,1,1,1,
1],[1,2,1,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,3,2,1,1,1,1],[1,1,4,1,1,1,1],[1,1,4,
1,1,1,1],[1,1,4,1,1,1,1],[1,1,2,3,1,1,1,1,2,2,1],[1,1,2,1,3,1,1,1,2,2,1],[1,3,
3,1,3,1,3,1],[1,1,2,2,1,1,1,1],[1,1,4,1,1,1,1],[1,1,2,3,1,1,1,1,2,2,1],[1,1,2,
2,1,1,1,1],[1,3,2,1,1,1,1],[1,1,1,1,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,2,2,1,1,1,
1],[1,1,1,1,1,1,1,1],[1,5,1,1,1,1],[1,3,2,2,1,1,4,1,1],[1,3,4,1,6,1],[1,3,2,1,
1,1,1],[1,3,1,2,1],[1,3,4,1,6,1],[1,3,2,1,1,1,1],[1,3,1,2,1],[1,3,2,1,1,1,1],[
1,3,2,1,1,1,1],[1,1,2,1,1,1,1],[1,1,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,1,1,1,
1],[1,1,2,1,1,1,1],[1,3,4,1,3,3,1],[1,5,2,1,1],[1,1,4,2,1,1],[1,3,4,1,6,1],[1,
3,4,1,6,1],[1,3,1,2,1],[1,3,1,2,1],[1,3,2,1,1,1,1],[1,3,2,1,1,1,1],[1,1,2,2,1,
1,1,1],[1,1,2,2,1,1,1,1],[1,1,2,2,2,1,1,1,4,1],[1,1,2,2,1,1,1,1],[1,1,2,2,1,1,
1,1],[1,1,2,1,1,1,1],[1,1,2,1,1,1,1],[1,1,4,1,2,1],[1,1,1,2,1],[1,1,4,1,2,1],[
1,1,2,1,1,1,1],[1,1,1,2,1],[1,1,1,1],[1,1,1,1],[1,2,2,1],[1,1,1,2,1],[1,2,2,
1],[1,1,1,2,1],[1,1,1,2,1],[1,2,1,1,1],[1,1,2,1,1],[1,2,2,1],[1,1,2,1,1],[1,2,
2,1],[1,2,2,1],[1,1,2,1,1],[1,4,1],[1,4,1],[1,1,1,1],[1,5,1,1],[1,5,1,1],[1,5,
1,1],[1,5,1,1],[1,1,1,1],[1,5,1,1],[1,5,1,1],[1,1,1,1],[1,6,1,1,3,2,1,1],[1,3,
1,3,1,3,1,1,1,1],[1,4,3,1,3,1,1,1,1],[1,4,3,1,3,1,1,1,1],[1,3,3,1,1,3,1,1,1,
1],[1,3,1,1,3,1],[1,1,1,3,1,1],[1,3,1,1,3,1],[1,1,6,1,3,1,2,1],[1,1,1,1,1,1],[
1,4,3,1,3,1,1,1,1],[1,2,1,1,1,1,2,1],[1,1,6,1,3,1,2,1],[1,1,1,1,1,1],[1,1,1,1,
1,1,1,1,1,1],[1,1,6,1,3,1,2,1],[1,1,2,1,1,1,2,1],[1,1,1,3,1,1],[1,3,4,1,3,1,1,
1,1],[1,1,3,3,1,3,1,1,1,1],[1,3,4,1,3,1,1,1,1],[1,4,3,1,3,1,1,1,1],[1,1,1,1,1,
1,1,1,1,1],[1,1,3,3,1,3,1,1,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,1,1,3,1],[1,3,4,
1,1],[1,1,2,1,1,1,2,1],[1,1,1,1,1,1],[1,4,3,1,3,1,1,1,1],[1,1,6,1,3,1,2,1],[1,
1,6,1,3,1,2,1],[1,1,1,3,1,1],[1,3,1,1,3,1],[1,1,1,1,1,1],[1,1,6,1,3,1,2,1],[1,
1,1,3,1,1],[1,1,1,1,1,1,1,1,1,1],[1,1,2,1,1,1,2,1],[1,1,3,3,1,3,1,1,1,1],[1,1,
6,1,3,1,2,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,3,1,1,3,1,1,1,1],[1,3,1,
3,1,3,1,1,1,1],[1,3,4,1,3,1,1,1,1],[1,3,4,1,3,1,1,1,1],[1,3,4,1,1],[1,3,4,1,
1],[1,3,4,1,1],[1,3,4,1,3,1,1,1,1],[1,3,4,1,3,1,1,1,1],[1,3,1,3,1,3,1,1,1,1],[
1,3,4,1,3,1,1,1,1],[1,3,4,1,3,1,1,1,1],[1,3,3,1,1,3,1,1,1,1],[1,3,4,1,3,1,1,1,
1],[1,1,1,1,1,1,1,1,1,1],[1,3,4,1,3,1,1,1,1],[1,1,3,3,1,3,1,1,1,1],[1,3,4,1,3,
1,1,1,1],[1,3,4,1,3,1,1,1,1],[1,3,3,1,1,3,1,1,1,1],[1,3,1,3,1,3,1,1,1,1],[1,1,
1,1],[1,1,1,1],[1,4,4,3,4,2,1,2,3,3,2,1,2,1,1,1],[1,2,4,3,2,1,2,2,1,1,3,3,1,1,
1,1,1,1,1,1,1,1],[1,3,5,3,3,5,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,3,3,2,3,1,2,3,2,1,
1,3,1,1,1,1,1,1,1,1,1,1],[1,2,3,2,1,3,1,2,2,1,1,1,1,3,3,1,1,1,1,1,1,1,1],[1,4,
2,5,4,2,1,4,2,2,1,4,1,1,1],[1,6,4,3,2,9,6,6,6,3,1,1,3,3,3,2,6,1,1],[1,4,2,5,4,
2,1,1,2,1,2,2,1,2,2,1,1,1],[1,4,2,1,4,4,2,1,2,1,2,1,2,1,2,2,1,1,1],[1,4,2,1,4,
2,1,2,2,1,1,1,1],[1,5,2,5,2,1,4,6,2,8,5,1,4,2,2,1,1,4,4,2,2,1,1,1],[1,4,2,1,2,
2,4,2,1,1,2,2,1,2,1,2,2,1,1,1],[1,4,2,1,4,4,2,1,4,2,2,1,4,1,1,1],[1,4,2,1,2,2,
4,2,4,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,2,2,5,2,1,2,2,2,1,2,1,2,2,2,1,1,2,1,1],[1,
3,3,2,3,3,3,2,1,1,1,1,1,2,1,1,1,1,1,1,1,1],[1,3,1,4,3,1,2,1,4,1,1,1,1,1,2,1,1,
1,1,1,1,1,1],[1,3,1,4,1,2,1,2,1,2,2,1,1,1,1,1,2,1,1,1,1,1,1,1,1],[1,2,1,4,3,1,
1,2,2,1,1,1,1,1,1,2,2,1,1,1,1,1,1,1,1],[1,2,4,3,6,1,6,6,1,3,3,3,6,6,3,2,6,1,3,
1],[1,2,2,5,2,1,2,2,1,4,1,2,2,1,2,1,1,2,1],[1,2,2,1,2,1,2,2,2,1,1,1,1,1,2,2,1,
1,1],[1,2,2,1,2,1,2,2,1,1,2,2,1,1,1,1],[1,3,4,3,4,1,3,6,6,3,3,3,1,3,4,3,3,1,3,
3,3,1,1,1],[1,2,2,1,4,2,1,2,2,1,1,1,1,1,2,1,2,1,1,1,1,1,1,1,1],[1,4,2,5,4,2,4,
4,12,1,2,4,2,4,2,4,4,4,1,1],[1,2,2,1,6,1,2,2,1,3,2,2,2,1,2,1,1,2,1],[1,2,2,5,
4,2,1,2,6,4,1,2,1,1,2,2,1,2,4,6,1,2,2,2,4,1,1,2,1],[1,2,2,1,2,4,1,2,2,1,1,2,4,
2,1,2,1,1,2,1],[1,2,2,1,2,1,2,2,1,1,1,1,2,1,2,2,1,1,1],[1,2,2,1,2,1,2,2,1,1,2,
2,1,1,1,1],[1,3,3,2,1,2,3,3,2,1,1,1,1,1,2,1,1,1,1,1,1,1,1],[1,2,1,4,3,1,1,2,2,
1,1,1,1,1,1,2,2,1,1,1,1,1,1,1,1],[1,3,1,4,3,1,2,1,4,1,1,1,1,1,2,1,1,1,1,1,1,1,
1],[1,2,1,4,1,3,1,2,2,1,1,1,1,1,1,2,2,1,1,1,1,1,1,1,1],[1,3,5,3,3,5,1,1,1,3,1,
1,1,1,1,1,1,1,1],[1,2,5,2,2,1,4,1,1,1,1,4,1,1,1,1,1,1,1,1,1,1],[1,2,3,4,2,1,4,
1,1,6,1,1,1,1,1,1,1,1,1,1],[1,2,3,2,1,1,1,1,1,2,1,1,1,1,1,1,1,1],[1,2,3,2,4,1,
4,1,1,1,6,1,1,1,1,1,1,1,1,1],[1,2,3,2,1,1,1,1,2,1,1,1,1,1,1,1,1,1],[1,3,3,1,4,
4,3,3,12,1,6,6,4,1,6,6,1,1,1],[1,3,3,1,3,3,1,2,2,1,2,2,1,1,1],[1,3,3,1,2,2,3,
3,2,1,1,1,1,1,2,1,1,1,1,1,1,1,1],[1,2,3,2,2,2,1,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,
1],[1,2,3,2,4,1,4,1,1,6,2,1,2,1,1,2,1],[1,2,3,2,4,1,4,1,1,6,2,1,2,1,1,2,1],[1,
2,3,2,1,4,1,1,2,2,1,1,1,1],[1,2,1,2,2,4,1,4,1,1,1,2,1,4,1,1,1,1,1,1,1,1],[1,2,
1,2,2,1,1,1,1,2,1,1,1,1,1,1,1,1,1],[1,2,1,2,4,2,1,4,1,1,2,1,1,4,1,1,1,1,1,1,1,
1],[1,2,1,2,2,1,1,1,1,1,2,1,1,1,1,1,1,1,1],[1,1,4,3,4,3,4,3,1,3,3,3,6,3,3,6,1,
3,3,1,1,3,3,1],[1,1,3,2,5,3,2,1,1,1,3,1,1,2,1,1,1,1,1,1,1,1],[1,1,2,5,6,1,2,4,
1,1,2,2,2,2,2,2,6,5,4,2,1,2,2,1,1,2,2,2,1],[1,1,1,4,5,1,4,1,1,1,1,1,1,2,2,1,1,
1,1,1,1,1,1],[1,1,2,1,2,1,2,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1],[1,1,1,4,3,2,1,2,
2,1,1,1,1,1,1,2,2,1,1,1,1,1,1,1,1],[1,1,2,1,2,1,2,1,2,1,2,2,1,2,1,1,2,1,1],[1,
1,2,1,2,1,2,2,2,1,2,1,2,1,1,1,1,1,2,1,1,1,1,1,1,1,1],[1,1,2,5,2,5,2,5,1,4,2,4,
2,1,8,6,1,4,2,1,1,4,2,1],[1,1,2,1,2,1,2,1,1,2,2,1,2,1,2,1,1,2,1],[1,1,2,1,2,1,
2,1,1,2,2,2,1,1,2,1,1,2,1],[1,1,1,4,3,2,1,2,2,1,1,1,1,1,1,2,2,1,1,1,1,1,1,1,
1],[1,1,5,4,1,4,1,1,2,2,4,1,2,1,2,1,1,1],[1,1,3,3,4,4,3,4,1,3,6,6,12,6,1,1,1,
6,1],[1,1,1,1,4,4,1,4,1,1,2,2,4,2,1,2,1,1,1],[1,1,3,3,2,2,3,2,1,3,1,1,1,1,2,1,
1,1,1,1,1,1,1],[1,1,1,1,2,2,1,2,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1],[1,1,3,3,3,1,3,
2,2,2,1,1,1,2,1],[1,1,1,1,1,1,1,2,2,2,1,2,1,1,1],[1,1,1,1,1,1,1,1,1,1,1],[1,6,
9,2,9,18,6,6,9,1],[1,4,3,1,2,3,3,2,1,1,1,1],[1,6,9,1,9,9,1,9,6,3,3,9,1],[1,4,
3,4,1,3,3,2,2,2,2,1,2,1,1,2,1],[1,4,3,1,3,3,1,3,1,3,3,1],[1,6,5,1,5,3,1,1,3,1,
1,1,1,1,1,1,1,1],[1,4,7,1,3,5,2,2,2,1,2,1,1,2,1],[1,4,3,1,1,3,3,3,1,3,3,1],[1,
4,7,1,3,3,4,2,2,1,2,1,1,2,1],[1,4,3,2,6,1,3,3,1,6,9,6,6,1,2,3,3,6,1],[1,4,3,1,
3,3,2,2,1,1,1,1],[1,5,3,3,1,3,1,1,1,5,3,1,1,1,1,1,1,1,1],[1,3,2,3,3,1,1,1,1,1,
3,3,2,2,1,1,1,1,1,1,1,1],[1,2,5,4,1,4,2,2,1,1],[1,4,3,3,3,1,1,3,3,3,1,1],[1,2,
1,4,2,1,2,2,2,2,1,1,1,1],[1,2,1,2,1,2,1,1,1,1,1,1],[1,4,3,4,2,3,2,1,2,3,2,1,2,
2,1,1,1],[1,2,5,2,1,2,2,2,2,1,1,1,1],[1,2,1,3,1,1,2,1,1,1,1],[1,2,5,2,2,2,1,1,
4,2,1,2,2,1,2,2,1,1,1],[1,2,1,2,2,2,1,1,2,1,2,2,1,1,1,1],[1,2,1,4,2,1,2,4,2,1,
1,1,1],[1,2,5,4,1,1,4,2,1,2,2,2,1,2,1,1,2,1],[1,2,1,1,1,1,1,1,2,1,1,1,1],[1,4,
3,2,2,1,3,1,1,1,3,2,1,2,1,1,1,1,1,1,1,1],[1,2,5,4,1,1,2,1,2,4,2,2,1,2,1,1,2,
1],[1,2,5,4,1,1,2,1,2,4,2,2,1,2,1,1,2,1],[1,2,1,2,2,1,1,1,1,2,2,1,2,1,2,1,1,2,
1],[1,2,1,2,1,2,2,2,1,1],[1,2,1,1,1,3,2,1,1,1,1],[1,3,2,5,1,1,1,3,1,1,1,3,2,2,
1,1,1,1,1,1,1,1],[1,1,4,3,3,1,1,1,1,1,1,1,2,4,2,1,1,1,1,1,1,1,1],[1,4,7,3,4,1,
3,2,2,1,1,1,2,2,1],[1,2,9,1,6,1,2,1,2,2,1,1,1,2,2,1],[1,2,9,1,4,4,2,2,2,1,1,1,
4,1],[1,2,5,4,4,1,4,2,4,2,2,4,12,4,1,2,4,4,4,1],[1,2,5,1,4,4,2,1,2,1],[1,2,5,
4,1,4,2,6,2,1,2,1,1,2,1],[1,2,5,4,1,4,2,6,2,1,2,2,1,1,1],[1,2,5,1,4,2,4,1,2,
1],[1,2,5,1,4,2,4,1,2,1],[1,4,3,3,2,1,3,2,1,1,1,1],[1,2,5,4,1,2,2,2,2,2,2,2,1,
1,1,4,1],[1,2,5,4,1,4,4,2,2,2,1,1,1,4,1],[1,2,1,2,2,1,1,2,2,1,2,2,1,1,1,1],[1,
2,1,2,2,1,2,1,1,1,1,1,1,1,1,1,1,1,1],[1,6,9,9,2,18,6,6,9,1],[1,4,3,3,1,1,3,3,
1,3,3,1],[1,4,3,6,2,3,6,1,3,3,6,1,6,6,1,3,3,2,6,1],[1,4,7,3,2,1,5,2,2,1,1,1,2,
2,1],[1,4,3,3,1,3,2,2,1,1,1,1],[1,4,3,4,3,2,1,3,4,2,1,1,1,2,2,1],[1,2,9,1,2,1,
6,1,2,2,1,1,1,2,2,1],[1,2,9,1,4,4,4,2,2,1,4,1],[1,2,5,1,2,2,4,2,1,1,1,1],[1,2,
5,2,2,1,2,2,1,2,2,1,2,2,1,1,1,2,2,1],[1,2,1,4,4,1,2,1,2,1,4,2,2,1,1,1,2,2,1],[
1,2,1,8,1,4,4,4,2,2,1,4,1],[1,2,1,6,2,1,2,3,2,2,1,2,2,1,1,1,2,2,1],[1,2,1,4,1,
2,2,2,2,2,1,1,1,1],[1,2,1,1,2,2,2,2,1,1],[1,2,1,1,1,5,1,1,1,1],[1,2,1,2,2,1,2,
1,1,1,2,1,2,1,1,1,2,2,1],[1,2,5,1,4,4,2,2,1,1],[1,2,5,1,4,4,2,2,1,1],[1,2,5,4,
1,4,2,6,2,1,2,1,1,2,1],[1,2,5,4,1,4,2,6,2,1,2,1,1,2,1],[1,2,5,1,4,2,4,1,2,1],[
1,2,5,1,4,2,4,1,2,1],[1,2,1,4,2,2,1,4,2,1,1,1,1,4,1,1,1,1,1,1,1,1],[1,2,1,4,1,
2,2,2,1,2,2,1,1,1],[1,2,1,4,1,2,2,2,1,2,1,1,2,1],[1,2,1,1,2,1,2,1],[1,2,1,1,2,
1,2,1],[1,3,2,3,3,1,3,1,1,1,3,1,2,2,1,1,1,1,1,1,1,1],[1,1,4,3,3,1,1,1,1,1,1,1,
2,4,2,1,1,1,1,1,1,1,1],[1,1,4,5,1,1,1,1,1,1,1,1,2,2,4,1,1,1,1,1,1,1,1],[1,5,6,
1,1,1,11,1,1,1,1,1,1,1,1,1],[1,5,6,1,1,1,11,1,1,1,1,1,1,1,1,1],[1,5,2,1,1,1,1,
3,1,1,1,1,1,1,1,1],[1,5,2,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,3,2,2,4,1,1,4,1,6,2,1,
1,1,2,2,1],[1,3,2,2,2,2,1,1,4,1,1,1,1,1,4,1,1,1,1,1,1,1,1],[1,3,2,2,1,1,4,1,2,
2,1,1,1,1],[1,3,2,2,4,1,1,4,1,6,2,1,1,1,2,2,1],[1,5,6,1,2,6,5,1,2,1,2,1,1,1],[
1,3,2,4,2,1,1,1,6,1,1,4,1,1,1,1,1,1,1,1],[1,3,2,2,4,1,1,1,1,6,1,4,1,1,1,1,1,1,
1,1],[1,3,2,2,1,1,1,1,2,1,1,1,1,1,1,1,1,1],[1,3,2,2,1,1,1,1,1,2,1,1,1,1,1,1,1,
1],[1,1,2,4,1,1,1,2,2,1,2,2,1,1,1],[1,1,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[
1,1,2,4,1,1,1,2,2,1,2,2,1,1,1],[1,1,2,1,1,1,1,1,1,1],[1,5,4,2,1,2,1,1,1,1],[1,
5,2,1,2,1,1,1,1],[1,5,4,2,1,2,1,1,1,1],[1,5,2,1,2,1,1,1,1],[1,1,4,4,2,1,2,1,1,
1,1],[1,1,4,2,1,2,1,1,1,1],[1,1,4,4,2,1,2,1,1,1,1],[1,1,4,2,1,2,1,1,1,1],[1,3,
2,2,1,3,1,1],[1,3,2,2,1,3,1,1],[1,3,1,1,2,1,3,1,1],[1,9,2,2,6,6,1,1],[1,3,2,2,
3,1,1,1],[1,1,2,2,2,2,1,1],[1,9,2,2,6,6,1,1],[1,3,2,2,1,3,1,1],[1,3,2,2,3,1,1,
1],[1,1,2,2,2,2,1,1],[1,3,1,1,2,1,3,1,1],[1,3,2,2,1,3,1,1],[1,3,1,1,2,1,3,1,
1],[1,3,1,1,2,3,1,1,1],[1,9,1,1,2,3,3,6,1,1],[1,3,1,1,2,1,3,1,1],[1,9,1,1,2,3,
3,6,1,1],[1,1,1,1,2,1,1,2,1,1],[1,3,1,1,2,3,1,1,1],[1,9,2,2,6,6,1,1],[1,9,2,2,
6,6,1,1],[1,3,2,2,3,1,1,1],[1,3,2,2,3,1,1,1],[1,3,1,1,2,3,1,1,1],[1,9,1,1,2,3,
3,6,1,1],[1,9,1,1,2,3,3,6,1,1],[1,3,1,1,2,3,1,1,1],[1,3,2,2,3,1,1,1],[1,3,2,2,
3,1,1,1],[1,3,2,1,1,3,1,1,1],[1,9,2,1,1,6,3,3,1,1],[1,3,2,1,1,3,1,1,1],[1,9,1,
2,1,3,6,3,1,1],[1,3,1,2,1,1,3,1,1],[1,3,1,2,1,3,1,1,1],[1,9,2,2,6,6,1,1],[1,1,
2,2,2,2,1,1],[1,3,2,2,1,3,1,1],[1,9,2,2,6,6,1,1],[1,3,2,2,1,3,1,1],[1,3,2,2,3,
1,1,1],[1,9,1,2,1,3,6,3,1,1],[1,3,1,2,1,3,1,1,1],[1,3,1,2,1,1,3,1,1],[1,1,2,2,
2,2,1,1],[1,3,2,2,3,1,1,1],[1,9,2,2,6,6,1,1],[1,9,2,2,6,6,1,1],[1,3,2,2,3,1,1,
1],[1,3,2,2,3,1,1,1],[1,3,2,2,3,1,1,1],[1,1,2,2,2,2,1,1],[1,3,2,2,3,1,1,1],[1,
3,1,2,1,1,3,1,1],[1,9,2,2,6,6,1,1],[1,3,2,2,3,1,1,1],[1,3,2,2,1,3,1,1],[1,9,2,
2,6,6,1,1],[1,9,1,2,1,3,6,3,1,1],[1,3,1,2,1,3,1,1,1],[1,3,4,3,1,1,1],[1,3,4,3,
1,1,1],[1,9,4,12,1,1],[1,9,4,12,1,1],[1,3,1,1,3,1],[1,6,5,5,1,1,1,1,1],[1,1,
10,5,1,1,2,1],[1,3,1,1,3,1],[1,1,1,1,1,1],[1,1,10,5,1,1,2,1],[1,1,5,1,1,1],[1,
5,5,1,1,1],[1,5,5,1,1,1],[1,5,5,1,1,1],[1,5,5,1,1,1],[1,5,5,1,1,1],[1,5,6,5,1,
1,1,1,1],[1,5,5,1,1,1],[1,5,6,5,1,1,1,1,1],[1,5,5,1,1,1],[1,6,3,1,3,1,3,2,3,3,
1,1,1,1],[1,9,3,3,1,9,9,1,3,3,1,3,3,3,1,1],[1,6,1,6,1,3,1,3,2,1,2,3,1,1,1,1],[
1,8,4,3,1,10,6,3,2,1,1,2,1,3,1,2,2,1,1,1],[1,6,1,6,1,3,1,3,2,1,2,3,1,1,1,1],[
1,7,1,6,1,1,3,6,1,6,3,2,1,1,2,1,3,1,2,2,1,1,1],[1,6,1,2,1,3,1,3,2,1,2,3,1,1,1,
1],[1,3,3,9,1,9,1,9,1,3,3,3,3,1,3,1],[1,3,1,3,1,3,3,1,1,1,1,3,1,1,1,1],[1,4,4,
3,4,1,3,4,6,3,3,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,5,1,6,3,1,1,6,3,6,3,1,1,1,
2,2,3,1,2,1,1,2,1],[1,3,1,6,5,1,3,6,3,1,6,1,1,1,2,2,3,1,2,1,1,2,1],[1,3,1,3,1,
3,1,3,1,1,1,3,1,1,1,1],[1,5,1,1,1,1,5,1,1,1,1,1],[1,6,9,1,1,9,9,3,1,3,3,1,3,3,
1],[1,2,3,1,1,1,1,3,2,1,1,1,1,1],[1,1,3,3,1,3,1,3,3,1,3,1,1,3,3,1],[1,3,6,1,1,
3,3,3,2,3,1,1,1,1],[1,3,6,1,3,1,3,3,2,3,1,1,1,1],[1,4,3,1,4,3,1,1,1,3,1,1,1,
1],[1,2,1,6,1,1,3,3,1,2,2,3,1,1,1,1],[1,1,1,1,1,1,3,3,1,1,1,3,1,1,1,1],[1,1,6,
2,1,3,1,3,1,2,2,3,1,1,1,1],[1,6,9,1,9,1,9,3,1,3,3,1,3,3,1],[1,3,3,1,1,3,3,1,3,
3,1,1,1,3,3,1],[1,3,6,1,3,1,3,3,2,3,1,1,1,1],[1,3,2,1,1,1,1,3,2,1,1,1,1,1],[1,
4,3,8,1,3,6,4,6,1,2,1,1,2,3,1,1,1,2,2,1],[1,2,1,6,1,1,3,3,1,2,2,3,1,1,1,1],[1,
1,1,6,7,1,1,6,3,3,6,1,2,1,2,1,3,1,1,1,2,2,1],[1,1,6,6,1,1,3,3,1,2,2,3,1,1,1,
1],[1,4,3,1,3,1,3,1,1,1,3,1,1,1,1],[1,2,1,2,1,1,1,1,1,2,2,1,1,1,1,1],[1,1,12,
1,3,1,3,1,4,3,1,1,1,1],[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,3,3,1,4,3,3,1,4,1,
1,1],[1,3,3,1,4,3,3,1,4,1,1,1],[1,3,3,1,4,3,3,1,4,1,1,1],[1,1,3,3,4,3,1,3,4,1,
1,1],[1,1,3,3,4,3,1,3,4,1,1,1],[1,4,3,4,4,1,3,10,3,3,1,1,1,1,1,1,1,3,1,1,1,1,
1,1,1,1],[1,1,3,3,4,3,1,3,4,1,1,1],[1,6,3,4,3,1,3,4,3,1,1],[1,4,3,4,1,3,3,4,1,
1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,9,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,
3,1,3,4,1,3,3,4,1,1,1],[1,6,3,4,3,1,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,2,
1,1,1,1,3,2,1,1,1,1,1],[1,6,9,1,1,9,9,3,1,3,3,1,3,3,1],[1,3,6,1,1,3,3,3,2,3,1,
1,1,1],[1,5,1,1,1,1,5,1,1,1,1,1],[1,3,6,1,1,3,3,3,2,3,1,1,1,1],[1,3,1,3,1,1,3,
3,3,1,3,1,1,3,3,1],[1,3,3,9,1,1,9,9,3,1,3,3,1,3,3,1],[1,3,6,4,1,3,3,4,3,1,1],[
1,3,6,4,1,3,3,4,3,1,1],[1,3,1,3,4,1,3,3,4,1,1,1],[1,4,3,4,3,1,3,4,1,1,1],[1,4,
3,8,1,3,4,6,6,1,2,1,1,2,3,1,1,1,2,2,1],[1,1,6,2,1,3,1,3,1,2,2,3,1,1,1,1],[1,3,
3,1,1,3,1,3,3,3,1,1,3,1,3,1],[1,1,2,2,1,1,1,1,1,2,2,1,1,1,1,1],[1,1,6,5,3,1,1,
3,3,6,6,1,2,2,1,1,3,1,1,1,2,2,1],[1,1,2,6,1,1,3,3,1,2,2,3,1,1,1,1],[1,3,3,1,4,
3,1,3,4,1,1,1],[1,3,3,1,4,3,1,3,4,1,1,1],[1,4,3,1,3,4,1,1,1,3,1,1,1,1],[1,1,6,
6,1,3,3,1,1,2,2,3,1,1,1,1],[1,3,2,1,1,1,1,3,2,1,1,1,1,1],[1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1],[1,1,6,6,1,1,3,3,1,2,2,3,1,1,1,1],[1,1,3,3,1,1,3,3,1,1,1,3,1,1,1,
1],[1,6,9,1,9,1,9,3,1,3,3,3,1,3,1],[1,4,3,1,3,1,3,1,1,1,3,1,1,1,1],[1,4,3,4,4,
1,3,3,4,3,6,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,4,3,8,1,3,10,6,1,1,1,2,2,3,1,
1,1,2,2,1],[1,3,6,1,3,1,3,3,2,3,1,1,1,1],[1,1,12,1,3,1,3,1,4,3,1,1,1,1],[1,1,
6,1,7,1,3,1,3,6,6,1,1,2,1,2,3,1,1,1,2,2,1],[1,1,6,3,5,1,3,3,1,6,6,1,2,1,2,1,3,
1,1,1,2,2,1],[1,3,9,3,1,9,1,9,3,3,1,3,3,1,3,1],[1,1,6,6,1,3,1,3,1,2,2,3,1,1,1,
1],[1,1,6,7,1,1,3,3,1,6,6,1,1,2,2,1,3,1,1,1,2,2,1],[1,1,6,2,1,3,3,1,1,2,2,3,1,
1,1,1],[1,3,6,1,3,1,3,3,2,3,1,1,1,1],[1,1,3,3,1,3,1,3,1,1,1,3,1,1,1,1],[1,1,6,
2,1,3,3,1,1,2,2,3,1,1,1,1],[1,1,1,1,1,3,3,1,1,1,1,3,1,1,1,1],[1,9,4,3,1,3,4,3,
1,1],[1,3,6,4,3,1,3,4,3,1,1],[1,3,6,4,3,1,3,4,3,1,1],[1,3,6,4,3,1,3,4,3,1,1],[
1,3,6,4,3,1,3,4,3,1,1],[1,3,6,4,3,1,3,4,3,1,1],[1,3,6,4,3,1,3,4,3,1,1],[1,3,6,
4,3,1,3,4,3,1,1],[1,6,3,4,3,1,3,4,3,1,1],[1,9,4,1,3,3,4,3,1,1],[1,3,4,4,1,6,4,
1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,4,4,1,6,4,1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[
1,3,6,4,3,1,3,4,3,1,1],[1,3,4,4,1,3,3,4,1,1,1],[1,9,4,4,3,4,3,1,1],[1,3,4,4,1,
6,4,1,1,1],[1,3,4,4,1,6,4,1,1,1],[1,9,4,3,1,3,4,3,1,1],[1,3,6,4,3,1,3,4,3,1,
1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,4,4,4,1,3,3,3,10,1,1,
1,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,2,2,2,1],[1,3,4,2,4,2,2,1,4,4,1],[1,2,3,4,4,1,
2,4,2,1,2,1,1],[1,2,3,4,4,2,1,4,2,4,1],[1,1,2,1,7,2,1,2,1,1,2,2,2,1,1,1],[1,4,
2,4,3,4,2,1,2,1,1,2,1],[1,5,1,1,5,1,1,1],[1,3,1,1,1,3,1,1],[1,15,1,1,5,3,1,
1],[1,5,1,1,5,1,1,1],[1,3,1,1,1,3,1,1],[1,15,1,1,5,3,1,1],[1,4,6,9,4,2,2,4,9,
18,6,2,4,1,4,4,6,2,9,1,2,1,1,2,1,1],[1,6,6,9,2,9,6,6,6,1,3,9,9,1,1,1,9,6,3,3,
6,3,3,2,6,3,1,3,3,3,3,9,3,3,1,3,3,1,1,1],[1,4,4,3,4,4,2,1,2,3,3,2,2,1,2,3,2,2,
1,2,2,2,1,2,1,1,3,3,1,2,1,1,1,1,1,1,1,1],[1,6,6,5,6,9,6,10,10,1,2,5,3,3,1,1,6,
3,1,6,2,3,2,5,2,2,6,2,2,6,2,2,1,1,1,1,2,2,1,3,1,1,1,1,2,2,1,1,2,2,1,1,1,1,1],[
1,4,4,7,4,2,1,3,3,5,3,2,2,2,2,1,4,2,1,2,1,3,1,1,3,2,1,1,1,1,1,1,1,1],[1,5,4,7,
4,3,4,6,4,8,7,1,2,3,3,3,4,2,6,3,2,3,6,2,1,2,4,2,4,2,2,2,1,2,3,3,1,2,1,1,2,2,2,
1,3,1,2,3,1,2,2,1,1,2,2,1,1,1,1,1],[1,4,4,3,2,6,4,2,1,2,3,3,1,2,6,9,6,6,2,2,1,
2,2,2,4,1,2,1,3,1,3,1,6,1,1,1,1,1,1,1,1],[1,2,6,9,6,1,6,6,2,1,9,18,3,3,6,6,6,
1,3,3,2,6,6,3,3,3,9,3,3,6,3,1,3,1,3,1,3,1],[1,2,4,3,2,1,2,2,1,3,3,3,1,1,1,3,2,
1,1,1,2,2,1,1,1,1,1,1,3,3,1,1,1,1,1,1,1,1],[1,3,6,5,6,3,3,8,6,5,1,1,5,3,3,1,1,
1,3,3,1,8,3,5,6,1,3,1,1,1,3,1,1,1,5,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,1,3,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,4,4,7,8,2,4,8,16,1,1,3,3,4,1,6,4,
2,6,2,4,1,4,1,4,2,4,2,6,2,4,2,1,1,2,1,1,2,3,1,1,2,2,2,1,2,1,1,1,1,2,2,2,1,1,
1],[1,2,4,7,4,6,1,2,6,4,1,1,3,5,1,1,1,2,2,6,9,2,4,10,6,1,1,1,2,2,2,2,4,1,1,2,
2,1,1,2,2,1,1,3,3,2,6,2,2,2,2,1,2,1,1,2,1,1,2,1,1,2,1],[1,2,4,3,2,1,2,2,1,2,3,
3,1,4,2,2,1,1,1,2,2,1,1,4,1,3,1,1,1,1,1,1,1,1,1,1],[1,6,4,7,2,9,6,6,6,3,4,1,2,
1,3,2,2,2,3,3,2,2,6,4,1,1,1,1,1,2,2,2,1,1,1,1,1,1,1,1],[1,4,2,9,4,4,2,1,1,6,2,
1,1,2,2,1,2,2,2,2,1,2,2,2,2,4,1,2,1,1,1,1,1,2,2,2,4,1,1,1,1,1,1,1,1],[1,5,2,9,
2,5,4,6,2,8,9,1,4,4,2,4,2,2,2,1,8,6,2,1,4,4,4,2,2,4,1,4,2,2,1,1,1,1,1,4,4,2,4,
2,1,1,1,4,4,1,1,1,1,1],[1,4,2,5,4,4,4,2,1,4,2,4,4,2,2,2,4,12,4,1,4,4,4,1,1,2,
2,4,4,4,1,2,1,1,2,1],[1,4,2,5,4,4,4,2,8,1,4,2,2,6,6,2,2,1,4,2,2,2,2,1,1,2,2,1,
2,1,1,2,1,2,2,2,2,1,2,2,2,2,2,1,1,2,1],[1,4,2,5,4,2,1,4,2,2,4,4,1,4,1,1,2,2,1,
1,1,1],[1,9,6,9,6,1,18,18,18,36,9,9,6,2,18,6,6,9,9,18,6,36,18,6,18,9,18,6,9,2,
6,9,6,9,1,1],[1,6,4,3,8,2,9,6,6,6,3,7,1,1,3,3,3,6,1,6,6,3,3,2,3,6,6,3,1,3,3,3,
3,2,1,3,6,1,3,3,3,3,1,1,1],[1,6,4,7,4,2,9,6,6,10,4,1,3,2,1,1,1,1,5,2,2,1,2,4,
6,3,2,3,2,2,6,2,2,2,2,2,2,2,4,1,1,1,1,1,1,1,2,2,2,1,1,1,1,1,2,2,1,1,2,2,1,1,
1],[1,6,4,3,2,4,9,6,6,6,3,1,2,1,3,2,4,2,2,3,3,2,6,2,4,1,1,1,1,1,2,2,2,1,1,1,1,
1,1,1,1],[1,5,2,9,6,1,4,6,2,12,5,1,1,2,2,1,1,2,6,1,2,2,6,2,5,4,1,2,2,2,4,2,4,
2,2,2,1,1,2,1,2,1,2,1,1,1,1,1,2,2,2,2,1,2,2,1,1,1,2,2,2,2,1,1,1,1,1],[1,4,2,9,
4,4,2,2,1,4,2,4,4,4,2,2,1,4,4,4,2,4,2,1,1,4,4,2,1,2,1,1,1],[1,4,2,5,2,2,4,2,1,
1,2,3,1,2,4,2,1,2,2,1,2,2,2,2,1,2,1,1,1,1,1,2,2,2,1,1,1,1,1,1,1,1],[1,4,2,1,8,
4,4,2,1,4,2,4,2,4,4,2,2,1,4,4,4,2,2,1,1,4,4,4,2,1,2,1,1,1],[1,4,2,1,6,2,4,2,1,
2,2,1,3,5,2,1,2,2,1,2,4,2,1,1,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,5,2,5,2,1,4,
6,2,8,5,1,4,4,4,2,2,1,1,4,4,2,2,1,4,2,2,1,4,2,1,2,1,1,1],[1,5,2,5,2,1,4,4,4,6,
2,8,5,12,1,4,2,2,1,6,6,2,2,4,1,4,4,2,2,6,2,2,2,1,6,2,1,2,2,1,1,1,1,2,2,2,2,1,
2,1,1,2,2,1,1,2,1,1,1],[1,5,2,5,2,1,4,6,2,8,5,1,4,2,2,1,4,4,1,4,4,2,2,4,1,4,1,
2,2,1,2,2,1,1,1],[1,4,2,1,4,4,4,4,2,8,1,4,2,2,2,2,2,2,8,1,4,2,2,2,2,1,1,2,2,2,
2,2,2,2,1,1,1,2,1,1,2,2,2,2,2,2,1,1,1],[1,4,2,1,4,4,2,1,4,2,2,1,4,1,1,2,2,1,1,
1,1],[1,2,4,7,6,1,6,6,1,2,3,5,3,6,2,2,2,2,6,2,3,2,6,1,2,1,2,1,1,3,1,2,4,1,1,1,
1,1,1,1,1],[1,2,2,9,2,1,2,2,4,1,6,1,2,1,2,1,2,2,2,1,2,2,2,2,2,1,1,1,1,2,2,2,1,
1,1,1,1,1,1,1],[1,3,4,7,8,1,3,6,10,3,2,3,2,5,1,2,5,2,4,2,6,7,4,2,3,1,2,3,2,2,
3,5,2,1,2,2,2,2,1,1,1,1,2,2,2,1,2,2,2,1,2,2,1,1,1,2,1,1,2,1,1],[1,4,2,9,6,2,2,
4,4,16,4,2,1,2,2,1,1,6,1,2,1,2,4,2,4,6,2,2,1,4,2,1,4,2,2,2,4,2,4,1,2,2,2,1,1,
1,1,2,2,1,1,2,1,2,2,1,1,1,1,2,2,1,1,1],[1,2,2,9,4,2,1,2,6,4,2,1,4,1,2,1,4,2,1,
4,4,6,2,2,1,2,2,2,4,1,2,2,1,1,1,2,2,2,4,1,1,1,1,1,1,1,1],[1,2,2,5,2,4,1,2,2,3,
1,2,1,1,2,4,4,2,2,2,1,2,2,2,1,1,2,2,1,1,1,1,2,2,1,1,1,1,1,1,1,1],[1,3,6,9,10,
3,3,12,18,9,1,9,9,9,1,9,9,12,3,6,18,9,18,9,1,9,3,18,9,9,9,18,3,1,3,9,9,9,9,3,
18,6,3,3,9,3,9,1,3,1],[1,2,4,3,8,6,1,6,6,1,3,3,3,1,7,3,6,9,6,6,6,3,1,3,2,6,1,
2,3,3,3,3,3,6,3,3,6,1,3,3,1,1,3,3,1],[1,2,4,3,10,1,6,6,1,3,3,5,2,8,2,8,2,3,2,
2,6,1,2,4,1,1,1,2,2,4,1,1,1,1,1,1,1,1],[1,3,4,7,4,5,3,6,6,7,3,4,3,2,1,3,2,4,4,
2,3,8,6,3,2,1,3,2,3,3,4,2,2,1,1,1,1,1,2,2,2,4,1,2,2,2,2,2,1,1,1,2,2,1,1,2,1,1,
2,1],[1,2,2,9,6,4,1,2,6,4,1,6,1,2,1,2,2,1,4,2,2,2,4,4,16,4,1,2,1,2,1,2,2,4,1,
1,1,1,2,2,2,2,4,4,1,1,2,2,2,2,2,4,1,1,1,2,2,1,1,1,1,2,2,1],[1,4,2,9,4,2,4,4,
12,1,4,2,4,4,2,2,4,2,2,4,4,4,4,1,2,1,1,4,4,2,1,2,1,1,1],[1,2,2,5,6,1,2,2,1,1,
4,3,3,2,4,2,2,1,2,2,2,2,1,2,1,1,1,2,4,2,1,1,1,1,1,1,1,1],[1,3,4,3,4,1,3,6,6,3,
3,3,3,1,1,1,3,3,4,3,3,1,3,3,6,3,3,3,3,3,3,1,3,3,1,1,3,1,3,3,3,1,1,1],[1,2,2,1,
4,2,1,2,2,2,1,1,2,2,1,2,2,1,2,2,1,1,1,2,2,1,2,1,1,1,1,1,2,2,1,1,1,1,1,1,1,1],[
1,2,2,1,6,4,1,2,2,2,1,3,1,2,5,4,2,2,1,2,2,2,2,1,1,1,1,1,1,2,2,4,1,1,1,1,1,1,1,
1],[1,3,4,3,4,1,3,6,6,3,3,3,2,1,3,2,4,2,3,2,3,1,3,3,3,2,2,1,1,1,1,1,1,2,2,1,1,
1,1,1,1,1,1],[1,2,2,1,4,2,1,2,2,1,1,1,1,1,1,5,2,1,2,2,1,1,1,2,2,1,2,1,1,1,1,1,
1,1,2,1,1,1,1,1,1,1,1],[1,4,2,5,4,4,2,4,4,12,1,2,4,4,4,2,2,4,2,2,4,4,4,4,1,2,
1,1,4,4,2,1,2,1,1,1],[1,2,2,5,8,2,1,2,6,4,1,2,3,3,2,4,2,1,2,2,6,6,1,2,2,2,2,4,
1,1,1,1,1,1,4,2,2,4,1,1,1,1,1,1,1,1],[1,4,2,5,4,4,2,4,4,12,1,2,4,2,4,6,4,2,2,
4,4,4,4,1,2,1,2,1,2,4,1,2,2,1,1,1],[1,4,2,5,4,4,2,4,4,12,1,2,4,2,4,6,2,4,2,4,
4,4,4,1,2,1,1,2,2,4,1,2,2,1,1,1],[1,3,5,3,6,6,3,5,14,1,1,1,3,1,11,11,1,1,14,1,
1,1,6,1,1,11,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,6,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1],[1,3,5,3,2,2,3,5,2,1,1,1,3,1,1,1,3,3,2,1,1,1,2,1,1,1,3,1,1,1,1,
1,1,1,1,1,2,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,2,5,2,
2,6,2,1,4,4,1,1,1,1,4,1,1,11,1,3,1,4,1,1,1,1,1,2,1,1,1,1,1,1,1,1,2,1,1,1,1,1,
1,3,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,2,5,2,2,2,6,1,4,4,1,1,
1,1,4,1,1,1,11,1,3,4,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,3,1,2,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,6,9,6,9,6,9,2,9,18,6,18,18,6,9,36,
18,2,9,18,6,6,6,9,18,9,18,36,18,6,9,1,6,9,1],[1,1,4,3,4,3,4,3,1,1,3,3,3,1,3,3,
6,3,3,6,1,1,3,3,3,1,1,3,3,3,3,3,3,3,3,6,1,3,3,1,1,3,3,1],[1,1,4,7,8,3,4,4,3,1,
3,5,2,2,5,2,2,6,3,2,6,7,10,1,2,3,2,3,2,2,1,2,2,1,1,1,1,1,3,2,2,5,2,2,2,2,2,2,
2,1,2,1,1,2,1,1,2,1,1,2,1],[1,1,4,3,4,3,4,3,1,2,3,3,3,2,6,3,2,3,6,2,1,2,3,3,2,
1,1,1,2,1,3,1,1,3,2,1,1,1,1,1,1,1,1],[1,1,2,9,6,5,2,4,5,1,1,6,2,1,1,2,2,1,2,4,
2,2,6,5,12,6,2,1,1,2,4,1,2,2,1,2,2,1,1,1,1,1,1,2,2,2,2,4,2,2,2,1,2,2,2,1,1,2,
1,2,1,1,2,1,1,2,1],[1,1,2,9,10,1,2,8,1,1,4,4,4,4,2,2,4,12,9,8,2,4,1,4,4,2,1,2,
2,1,4,4,8,2,4,4,4,2,1,4,2,1,1,4,1],[1,1,2,5,6,1,2,4,1,2,1,2,2,2,2,2,4,2,2,6,5,
4,2,2,1,2,2,2,1,2,1,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,1,2,1,2,1,2,1,2,2,
2,2,2,1,2,2,1,2,2,2,2,1,2,1,2,2,2,1,2,1,1,1],[1,1,2,1,2,1,2,1,3,1,3,1,5,2,1,1,
2,1,3,1,1,3,1,1,1,1,1,2,1,1,1,1,1,1,1,1],[1,1,2,5,2,5,2,5,4,1,4,4,2,4,2,1,8,6,
4,1,4,2,2,4,1,2,1,4,2,2,1,1,2,1,1],[1,1,2,5,2,5,4,4,2,5,4,1,4,2,4,2,1,8,6,6,6,
2,2,12,1,4,6,2,2,1,1,2,2,4,2,1,2,1,1,2,1,2,2,6,2,2,2,2,1,1,2,1,1,1,2,1,2,1,
1],[1,1,2,1,2,1,4,4,2,1,4,1,2,2,1,2,2,2,2,2,4,1,2,2,2,1,1,2,2,2,2,2,2,2,2,2,2,
1,1,1,2,1,2,1,1,2,1,2,1,1,1,2,1,1],[1,1,2,5,2,5,2,5,1,4,2,4,2,1,8,6,4,4,1,4,4,
2,1,1,4,2,2,2,4,1,2,1,1,2,1],[1,1,2,1,2,1,2,1,1,2,2,1,2,1,2,1,1,2,2,2,1,2,1,1,
2,1],[1,1,5,4,1,4,4,4,1,4,1,2,2,4,1,2,2,4,2,2,1,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,
1],[1,1,5,4,1,4,1,1,2,2,4,1,2,2,2,2,1,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,8,
15,2,15,24,1,1,9,3,6,6,8,1,3,9,3,9,3,3,3,3,6,1,1,1,3,3,3,3,1],[1,6,13,2,9,18,
4,4,6,2,2,6,4,9,1,2,1,4,4,1,2,2,1,1,1],[1,6,9,4,2,9,18,6,6,6,6,9,6,1,3,6,1,3,
3,1],[1,6,9,4,2,9,18,6,6,6,6,9,6,6,1,3,1,3,3,1],[1,6,9,4,1,2,9,9,2,2,1,2,9,2,
6,2,3,2,1,2,2,1,3,9,1,1,2,4,1,1,1,1,1,1,1,1],[1,6,5,1,3,5,3,3,1,1,3,1,2,1,1,1,
3,5,1,1,1,3,1,1,1,1,1,1,1,1,1,1],[1,4,7,2,6,1,2,3,3,1,4,2,6,9,2,2,6,6,1,2,2,1,
2,2,1,1,3,1,3,2,6,4,1,1,1,1,1,1,1,1],[1,8,15,1,15,9,2,1,24,3,6,6,3,1,3,8,9,3,
9,3,3,3,6,1,3,3,1,1,3,3,1],[1,6,13,1,9,11,1,11,4,8,2,3,2,3,10,1,1,1,2,2,2,4,1,
1,1,1,1,1,1,1],[1,6,9,2,6,1,1,9,9,3,1,1,9,6,9,6,6,6,3,2,3,1,3,3,9,3,3,3,6,3,3,
6,1,1,1,3,3,3,3,1],[1,6,5,6,6,1,5,3,6,2,1,1,3,3,1,10,9,6,10,6,1,2,1,1,2,1,3,1,
1,5,3,2,1,1,6,2,2,6,2,2,2,2,2,1,1,1,2,2,1,1,1,1,2,2,1],[1,4,7,4,1,1,3,3,2,5,2,
4,2,2,2,1,2,2,3,2,1,4,1,1,2,2,2,1,1,1,1,1,1,1,1],[1,6,5,1,5,3,1,2,3,6,2,1,1,1,
1,6,3,3,1,1,1,1,1,1,1,1,1,1,1],[1,4,11,1,3,5,1,6,7,2,2,1,4,1,3,4,1,1,2,2,4,1,
1,1,1,1,1,1,1],[1,4,7,4,5,3,4,2,1,1,2,3,2,2,2,4,3,2,2,2,1,1,1,1,2,2,2,1,1,1,1,
1,1,1,1],[1,2,9,4,4,4,1,4,2,4,4,2,2,2,4,12,4,2,2,4,4,1,1,2,1,4,4,4,4,1,2,2,1,
1,1],[1,2,5,4,4,1,4,2,6,4,2,2,1,2,1,1,2,2,1,1,1,1],[1,2,5,4,4,1,4,2,6,2,4,2,1,
2,2,2,1,1,1,1,1,1],[1,6,9,6,2,3,9,6,1,2,3,18,6,1,6,6,6,3,3,3,6,3,6,3,9,3,2,6,
1,3,1,3,3,3,3,1,1,1],[1,4,7,4,3,3,2,3,1,5,2,4,2,2,3,3,2,1,1,1,1,1,2,2,2,4,1,1,
1,1,1,1,1,1],[1,4,3,2,2,4,3,2,1,1,3,2,2,1,2,2,3,4,1,1,2,1,1,1,1,1,1,2,1,1,1,1,
1,1,1,1],[1,4,3,10,2,2,3,8,1,5,3,2,6,1,8,6,2,1,2,2,1,4,1,3,1,2,2,6,2,4,1,1,1,
1,1,1,1,1],[1,2,5,6,2,3,1,2,1,3,4,4,2,1,2,2,2,1,1,4,2,2,1,2,1,1,2,2,2,2,1,1,1,
1,1,1,1,1],[1,4,3,4,4,2,3,2,2,1,1,2,3,3,4,2,2,1,2,2,1,1,3,1,3,1,2,2,2,2,1,1,1,
1,1,1,1,1],[1,2,9,2,2,2,1,2,4,1,1,6,1,2,1,2,2,2,1,2,2,1,1,2,1,1,2,2,2,2,2,2,1,
1,1,1,1,1,1,1],[1,4,7,8,4,1,3,4,6,1,1,4,3,2,8,2,2,6,4,16,4,1,2,1,1,2,1,1,3,1,
4,2,2,2,4,4,2,2,6,2,1,1,2,4,1,1,1,2,2,1,1,1,1,2,2,1],[1,2,9,8,2,1,4,4,2,4,4,2,
4,2,2,2,4,4,1,2,1,1,4,4,4,4,2,2,1,1,1,1],[1,4,3,2,2,1,3,3,1,1,1,3,3,2,1,2,2,1,
1,1,1,1,3,1,1,3,1,2,1,2,1,1,1,1,1,1,1,1],[1,2,9,4,4,1,1,2,2,1,1,2,6,1,4,2,2,2,
2,2,1,2,2,1,1,1,1,1,1,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,2,1,4,2,1,2,2,2,2,2,
1,2,2,1,1,2,1,1,1,1],[1,2,1,4,2,1,2,2,2,2,2,1,2,1,1,2,2,1,1,1,1],[1,6,13,9,4,
2,18,4,2,6,2,1,6,2,9,1,4,4,4,2,1,1,2,1,1],[1,4,11,3,6,1,1,5,7,2,2,1,1,1,3,1,4,
4,2,4,2,1,1,1,1,1,1,1,1],[1,2,17,1,8,2,8,2,2,4,2,2,1,2,2,1,1,8,4,4,4,4,2,1,2,
1,1,1],[1,2,9,8,1,4,4,2,2,2,20,4,1,1,1,4,4,2,2,4,2,2,4,4,2,2,1,2,2,2,4,4,1],[
1,2,9,8,1,4,4,2,2,2,20,4,1,1,1,4,4,4,2,2,2,2,4,2,2,4,1,2,2,2,4,4,1],[1,2,9,1,
4,4,2,2,2,8,1,1,1,4,4,1,2,1],[1,2,9,1,4,4,2,2,2,8,1,1,1,4,4,1,2,1],[1,2,9,1,4,
4,2,2,2,1,1,1,4,4,1,2,1],[1,2,9,1,4,4,2,2,2,1,1,1,4,4,1,2,1],[1,2,9,1,4,4,2,2,
2,8,1,1,1,4,4,1,2,1],[1,2,9,1,4,4,2,2,2,8,1,1,1,4,4,1,2,1],[1,2,5,4,4,4,1,4,2,
4,2,2,4,12,4,6,4,2,1,2,2,4,4,4,1,1,2,2,4,4,1,1,1,2,2,1],[1,2,5,4,4,4,1,4,2,4,
2,2,4,12,4,6,2,4,1,2,2,4,4,4,2,2,1,1,4,4,1,1,1,2,2,1],[1,2,5,4,1,4,4,2,6,6,1,
2,2,1,3,2,1,1,1,1],[1,2,5,4,1,4,4,2,6,6,1,2,2,2,1,3,1,1,1,1],[1,6,9,4,9,4,2,
18,4,2,6,2,1,6,2,9,1,4,4,4,2,1,1,2,1,1],[1,4,7,6,2,3,2,6,2,1,3,5,2,6,1,2,2,6,
6,1,1,1,3,1,3,1,2,2,2,6,2,2,4,1,1,1,1,1,1,1,1],[1,2,5,4,4,4,1,4,4,2,2,2,6,6,2,
2,8,1,1,1,2,2,4,2,2,2,2,1,1,1,1,2,2,2,2,2,2,1,2,1,1,2,2,2,2,2,1],[1,2,5,4,1,4,
4,2,2,2,4,4,1,1,1,4,2,2,1,1,1,1],[1,6,9,4,9,2,18,6,6,6,6,9,6,1,3,6,1,3,3,1],[
1,6,9,4,9,2,18,6,6,6,6,9,6,1,3,6,1,3,3,1],[1,2,9,4,1,4,4,4,2,2,2,2,1,2,4,2,1,
1,2,1,1,1,2,2,1],[1,2,9,4,1,4,4,4,2,2,2,2,1,2,4,1,1,2,2,1,1,1,2,2,1],[1,2,1,8,
4,1,4,4,4,2,2,2,2,1,2,4,2,1,1,2,1,1,1,2,2,1],[1,2,1,8,4,1,4,4,4,2,2,2,2,1,2,4,
1,1,2,2,1,1,1,2,2,1],[1,2,1,4,1,2,2,2,2,2,2,1,2,2,1,1,2,1,1,1,1],[1,2,1,4,1,2,
2,2,2,2,2,1,2,1,1,2,2,1,1,1,1],[1,2,5,4,1,4,4,2,6,6,2,1,2,1,3,2,1,1,1,1],[1,2,
5,4,1,4,4,2,6,6,2,1,2,1,3,2,1,1,1,1],[1,2,5,4,1,4,4,2,6,4,2,2,1,2,1,2,1,2,1,1,
1,1],[1,2,5,4,1,4,4,2,6,2,4,2,1,2,1,1,2,2,1,1,1,1],[1,5,6,4,1,2,6,5,1,2,2,2,1,
2,2,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1],[1,5,6,4,1,2,6,5,1,2,2,2,1,2,2,1,1,2,1,1,1,
1,1,1,1,1,1,1,1,1],[1,6,1,2,2,3,2,2,6,2,1,1,3,2,1,1],[1,12,3,2,2,9,7,3,1,3,6,
1,3,3,1,1,1,1],[1,4,3,2,2,3,1,3,1,5,2,1,1,3,1,1,1,1],[1,6,9,2,2,9,2,6,6,6,1,6,
2,1,1],[1,3,1,3,2,2,3,1,2,1,3,3,2,1,1,3,1,1,1,1],[1,6,9,2,2,9,2,6,6,6,1,6,2,1,
1],[1,6,9,2,2,9,2,6,6,6,1,6,2,1,1],[1,3,9,3,2,2,9,1,1,3,6,3,6,1,3,3,1,1,1,1],[
1,6,9,1,1,2,9,1,3,3,3,1,3,6,1,3,3,1,1,1,1],[1,10,9,2,2,9,6,2,6,2,6,6,1,6,6,1,
1,1,1],[1,9,3,3,2,2,9,6,6,3,1,3,1,1,3,3,1,1,1,1],[1,6,9,2,2,9,6,2,6,6,1,6,2,1,
1],[1,1,3,3,2,2,3,2,2,3,1,3,1,1,3,1,1,1,1,1],[1,9,6,2,2,9,6,6,2,6,1,6,1,2,1],[
1,9,6,2,2,9,6,6,6,2,1,6,1,2,1],[1,9,2,2,9,6,6,1,1,1],[1,9,2,2,9,6,6,1,1,1],[1,
3,5,8,1,3,4,1,1,2,1],[1,3,2,2,1,6,6,1,2,2,3,1],[1,3,1,4,8,1,3,4,1,1,2,1],[1,1,
2,2,3,2,2,1,1,3,1,1],[1,3,1,4,8,1,3,4,1,1,2,1],[1,3,2,2,1,6,6,1,2,2,3,1],[1,3,
1,4,8,1,3,4,1,1,2,1],[1,1,6,2,2,3,2,2,6,2,1,1,3,1,2,1],[1,1,2,2,1,2,2,1,2,2,1,
1],[1,10,9,2,2,9,2,6,6,2,6,6,1,6,6,1,1,1,1],[1,1,18,2,2,9,2,12,2,12,1,6,6,1,2,
1],[1,1,18,2,2,9,2,12,2,12,1,6,6,1,2,1],[1,1,2,2,9,2,2,1,6,6,1,1],[1,1,6,2,2,
3,2,2,6,2,1,3,1,1,2,1],[1,1,2,2,3,2,2,1,3,1,1,1],[1,1,3,3,2,2,3,2,2,3,1,3,1,1,
3,1,1,1,1,1],[1,1,6,2,2,3,2,2,6,2,1,3,1,1,2,1],[1,3,12,1,1,2,9,3,4,3,1,3,6,1,
3,3,1,1,1,1],[1,3,4,1,1,2,3,1,1,1,3,4,2,1,1,3,1,1,1,1],[1,9,6,1,1,2,9,1,3,3,3,
3,1,6,1,3,3,1,1,1,1],[1,9,6,2,2,9,2,6,6,6,1,6,2,1,1],[1,9,6,2,2,9,2,6,6,6,1,6,
2,1,1],[1,9,6,1,1,2,9,1,3,3,3,1,3,6,1,3,3,1,1,1,1],[1,6,9,1,1,2,9,3,1,3,3,1,3,
6,1,3,3,1,1,1,1],[1,3,4,1,1,2,3,3,4,1,2,1,1,1,3,1,1,1,1,1],[1,3,12,1,1,2,9,3,
1,3,3,4,6,1,3,3,1,1,1,1],[1,9,10,1,1,2,9,3,3,1,1,2,3,3,6,6,1,3,3,6,1,1,1,1],[
1,9,2,2,9,6,6,1,1,1],[1,9,6,2,2,9,6,6,6,2,1,6,1,2,1],[1,9,2,2,9,6,6,1,1,1],[1,
9,6,2,2,9,6,6,6,2,1,6,1,2,1],[1,9,6,2,2,9,6,6,6,2,1,6,1,2,1],[1,9,3,3,2,2,9,6,
3,6,1,3,1,1,3,3,1,1,1,1],[1,9,6,2,2,9,6,6,6,2,1,6,1,2,1],[1,9,2,2,9,6,6,1,1,
1],[1,3,4,1,8,1,3,4,1,1,2,1],[1,3,8,1,4,1,3,4,2,1,1,1],[1,3,5,8,1,3,4,1,1,2,
1],[1,3,1,8,4,1,3,4,1,2,1,1],[1,6,9,2,2,9,6,2,6,6,1,6,2,1,1],[1,3,3,1,2,2,3,3,
1,2,1,3,2,1,3,1,1,1,1,1],[1,3,3,9,2,2,9,3,1,1,3,6,6,1,3,3,1,1,1,1],[1,3,1,3,2,
2,3,3,1,3,2,1,2,1,3,1,1,1,1,1],[1,6,9,2,2,9,6,2,6,6,1,6,2,1,1],[1,3,9,3,2,2,9,
3,1,3,6,1,6,1,3,3,1,1,1,1],[1,9,6,2,1,1,9,6,3,3,3,1,1,3,1,3,3,1,1,1,1],[1,9,6,
1,2,1,9,3,1,3,6,3,1,3,1,3,3,1,1,1,1],[1,9,10,2,2,9,6,2,6,6,2,6,1,6,6,1,1,1,
1],[1,9,6,2,2,9,6,2,6,6,1,6,1,2,1],[1,9,6,2,2,9,6,6,2,6,1,6,1,2,1],[1,9,2,2,9,
6,6,1,1,1],[1,9,6,2,2,9,6,6,6,2,1,6,1,2,1],[1,9,2,2,9,6,6,1,1,1],[1,3,3,1,2,2,
3,2,3,2,1,3,1,1,3,1,1,1,1,1],[1,3,3,9,2,2,9,6,3,6,1,3,1,1,3,3,1,1,1,1],[1,9,6,
1,2,1,9,3,3,1,6,3,3,1,1,3,3,1,1,1,1],[1,9,10,2,2,9,6,6,2,6,6,2,1,6,6,1,1,1,
1],[1,3,1,3,2,2,3,2,3,3,1,2,1,1,3,1,1,1,1,1],[1,9,6,2,2,9,6,6,2,6,1,6,2,1,1],[
1,9,6,2,2,9,6,6,6,2,1,6,1,2,1],[1,9,2,2,9,6,6,1,1,1],[1,9,2,2,9,6,6,1,1,1],[1,
9,6,2,2,9,6,6,6,2,1,6,1,2,1],[1,3,9,3,2,2,9,6,3,3,1,6,1,1,3,3,1,1,1,1],[1,3,4,
2,2,3,3,1,5,1,2,1,3,1,1,1,1,1],[1,6,9,2,2,9,6,2,6,6,1,6,2,1,1],[1,3,12,2,2,9,
3,1,3,7,6,1,3,3,1,1,1,1],[1,9,10,2,2,9,6,2,6,2,6,6,1,6,6,1,1,1,1],[1,1,3,3,2,
2,3,2,2,3,1,1,3,1,3,1,1,1,1,1],[1,9,6,2,2,9,6,6,2,6,1,6,2,1,1],[1,9,6,1,2,1,9,
3,3,1,6,3,3,1,1,3,3,1,1,1,1],[1,9,6,2,2,9,6,6,6,2,1,6,1,2,1],[1,9,2,2,9,6,6,1,
1,1],[1,9,6,2,2,9,6,6,2,6,1,6,1,2,1],[1,9,2,2,9,6,6,1,1,1],[1,9,3,3,2,2,9,6,3,
1,1,3,6,1,3,3,1,1,1,1],[1,9,6,4,9,6,2,12,1,6,2,1,1],[1,9,6,4,9,6,2,12,1,6,2,1,
1],[1,9,4,9,12,1,1,1],[1,9,4,9,12,1,1,1],[1,9,4,9,12,1,1,1],[1,9,4,9,12,1,1,
1],[1,8,15,1,15,15,1,5,3,1,3,1,3,3,1],[1,5,1,1,1,1,1,5,1,1,1,1],[1,3,10,1,5,5,
1,5,3,2,1,1,1,1],[1,6,5,5,10,1,5,1,1,1,1,2,1],[1,6,5,10,5,1,5,1,1,1,1,2,1],[1,
8,15,15,1,15,1,5,3,1,3,3,1,3,1],[1,6,5,5,1,5,1,5,1,1,1,1,1,1,1],[1,6,5,5,5,5,
1,5,1,1,1,1,1,1,1],[1,6,5,5,10,1,5,1,1,1,1,2,1],[1,3,10,5,1,5,1,5,3,2,1,1,1,
1],[1,1,20,5,1,5,1,5,1,4,1,1,1,1],[1,5,6,5,5,5,1,5,1,1,1,1,1,1,1],[1,5,6,5,5,
5,1,5,1,1,1,1,1,1,1],[1,2,2,1,1,2,2,1],[1,9,5,9,1,9,15,1,3,1,1,9,3,5,3,3,3,3,
3,3,1,3,3,5,1,1,1,3,1,3,1,1,1,1,1,1,1,1],[1,8,6,9,1,10,6,1,4,9,9,2,3,1,2,3,4,
3,6,3,3,1,2,2,1,1,3,1,3,1,3,1,1,1,1,1,1,1,1],[1,7,3,6,3,1,3,6,3,6,1,3,3,3,3,2,
3,1,2,3,3,3,3,1,3,3,3,1,2,2,1,1,3,1,3,1,3,1,1,1,1,1,1,1,1],[1,12,6,9,4,1,21,
18,12,18,9,3,1,9,3,3,1,1,3,3,1,9,9,4,18,3,3,3,3,6,3,1,3,3,3,3,1,3,3,1,3,3,3,3,
1,1,1],[1,9,3,6,5,1,9,9,6,1,3,1,1,3,6,3,3,1,2,2,3,3,3,3,3,1,3,3,3,2,1,1,1,1,1,
2,3,1,1,1,1,1,1,1,1],[1,8,4,3,8,1,10,6,3,6,1,4,3,6,2,1,2,1,2,1,2,3,4,6,3,3,1,
2,2,1,1,1,1,1,1,2,2,3,1,1,1,1,1,1,1,1],[1,7,1,12,7,1,3,6,1,12,1,3,1,3,3,6,2,1,
2,1,4,1,3,3,3,3,1,3,3,1,2,2,1,1,1,1,1,1,2,2,3,1,1,1,1,1,1,1,1],[1,4,6,9,12,1,
3,12,18,1,9,9,9,12,18,1,3,3,1,1,3,3,9,4,18,3,9,3,1,3,1,3,3,3,3,3,3,3,6,3,1,3,
3,1,1,3,3,1],[1,5,3,6,9,1,1,6,9,6,1,1,9,3,3,1,3,3,2,2,1,3,3,3,3,3,3,3,2,1,3,1,
1,1,1,2,3,1,1,1,1,1,1,1,1],[1,4,4,3,4,1,3,4,6,4,3,3,1,3,1,1,1,1,1,1,1,3,4,6,3,
3,1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,5,1,12,5,1,1,6,3,12,3,3,1,1,3,6,
1,1,1,2,4,2,3,1,3,3,3,3,3,1,2,2,1,1,1,1,1,1,2,2,3,1,1,1,1,1,1,1,1],[1,8,15,1,
1,15,9,1,1,9,3,5,1,5,3,1,3,3,3,3,3,1,1,1,5,3,3,1,3,1,1,1,1,1,1,1,1],[1,3,5,3,
1,3,5,1,1,1,1,3,5,3,3,1,1,1,1,1,1,1,1,1,1,3,1,5,3,1,1,1,1,1,1,1,1,1],[1,6,9,8,
1,4,9,6,1,4,9,6,3,2,1,3,2,3,4,6,3,3,1,1,1,3,1,3,1,2,2,3,1,1,1,1,1,1,1,1],[1,3,
3,6,7,1,3,3,6,3,3,1,3,3,6,3,2,3,2,1,3,1,3,3,3,3,3,1,1,1,3,1,3,1,2,2,3,1,1,1,1,
1,1,1,1],[1,6,4,3,2,4,9,6,6,6,3,1,1,3,4,8,3,3,2,6,1,4,1,1,2,1,1],[1,2,4,3,6,4,
1,6,6,1,3,3,3,6,6,4,8,3,2,6,1,3,4,1,1,2,1,1],[1,3,4,3,4,1,4,3,6,6,3,3,3,1,3,4,
3,4,4,4,3,1,3,3,3,1,1,4,1,1,1,1,1,1],[1,3,9,7,4,3,9,3,3,1,3,9,4,4,4,3,1,3,3,3,
3,3,1,4,3,1,1,1,1],[1,3,3,6,7,4,3,3,6,3,3,1,3,3,6,4,4,4,3,1,3,3,3,3,3,1,4,3,1,
1,1,1],[1,3,3,6,1,6,4,3,3,6,3,3,1,3,3,6,4,4,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,
3,3,6,7,4,3,3,6,3,3,1,3,3,6,4,4,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,3,3,1,4,4,4,
3,3,12,1,6,6,4,4,4,4,1,6,6,1,1,1,4,1,1,1,1,1],[1,3,9,7,4,3,9,3,3,1,9,3,4,4,4,
3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,3,3,1,6,6,4,3,3,6,1,3,3,3,3,6,4,4,4,1,3,3,3,3,
3,3,1,4,3,1,1,1,1],[1,7,9,3,4,9,9,1,3,3,3,3,4,4,4,3,3,3,1,3,3,3,4,1,3,1,1,1,
1],[1,7,3,6,3,4,3,6,3,6,1,3,3,3,3,4,4,4,3,3,3,1,3,3,3,4,1,3,1,1,1,1],[1,1,4,3,
4,3,4,4,3,1,3,3,3,6,3,3,6,4,4,4,1,3,3,1,1,3,3,4,1,1,1,1,1,1],[1,1,3,6,9,4,3,6,
1,3,3,3,3,3,6,4,4,4,1,3,3,3,3,3,3,4,1,3,1,1,1,1],[1,7,3,6,3,4,3,6,3,6,1,3,3,3,
3,4,4,4,3,3,3,1,3,3,3,4,1,3,1,1,1,1],[1,1,3,3,4,4,4,3,4,1,3,6,6,12,4,4,4,6,1,
1,1,6,4,1,1,1,1,1,1],[1,7,9,3,4,9,9,1,3,3,3,3,4,4,4,3,3,3,1,3,3,3,4,1,3,1,1,1,
1],[1,1,3,3,6,6,4,3,6,1,3,3,3,3,3,6,4,4,4,3,3,1,3,3,3,3,4,1,3,1,1,1,1],[1,12,
4,3,4,12,6,1,6,3,3,8,4,6,3,6,1,3,4,1,3,2,1,1],[1,6,4,3,6,4,3,6,6,1,3,3,3,3,3,
4,4,4,3,3,3,1,3,3,3,4,1,3,1,1,1,1],[1,6,3,6,1,3,4,3,6,6,1,3,3,3,3,3,4,4,4,3,3,
3,3,1,3,3,4,1,3,1,1,1,1],[1,6,9,4,2,9,18,6,12,6,9,4,1,1,3,1],[1,4,3,4,1,6,3,3,
6,4,1,3,3,4,1,3,1,1],[1,6,9,4,1,9,9,1,9,6,12,3,3,9,4,1,1,3,1],[1,4,3,12,4,1,3,
3,6,6,6,6,4,8,1,6,3,3,6,4,1,3,1,2,1],[1,4,3,4,1,3,3,1,3,4,1,3,3,4,1,1,1,1],[1,
10,9,4,1,9,3,3,3,9,3,4,4,4,1,3,3,3,3,3,3,4,1,3,1,1,1,1],[1,4,15,4,1,3,9,6,6,6,
4,8,1,6,3,3,6,4,1,3,1,2,1],[1,4,3,4,1,1,3,3,3,4,1,3,3,4,1,1,1,1],[1,4,15,4,1,
3,3,12,6,6,4,8,1,6,3,3,6,4,1,3,1,2,1],[1,4,3,2,6,4,1,3,3,1,6,9,6,6,4,8,1,2,3,
3,6,4,1,1,1,2,1],[1,4,3,4,1,3,3,6,6,4,1,3,3,4,1,3,1,1],[1,9,7,3,4,1,9,3,3,3,9,
3,4,4,4,3,3,1,3,3,3,3,4,1,3,1,1,1,1],[1,3,6,7,3,4,1,3,3,3,3,3,3,6,6,4,4,4,3,3,
1,3,3,3,3,4,1,3,1,1,1,1],[1,6,9,16,2,9,18,6,6,9,8,12,1,1],[1,6,9,4,1,9,9,1,9,
6,12,3,3,9,4,1,1,3,1],[1,6,9,16,1,9,9,1,9,6,3,3,9,4,4,12,1,1],[1,6,9,8,1,1,9,
9,4,4,6,6,3,2,1,3,2,3,4,3,3,6,1,1,1,3,3,1,1,2,2,3,1,1,1,1,1,1,1,1],[1,5,3,3,1,
1,3,1,1,1,5,3,5,3,3,1,1,1,1,1,1,1,1,3,1,1,1,5,3,1,1,1,1,1,1,1,1,1],[1,3,6,5,9,
1,1,1,1,3,3,9,9,6,6,3,2,2,1,3,1,3,3,3,3,3,3,1,1,1,1,1,3,3,2,2,3,1,1,1,1,1,1,1,
1],[1,8,15,1,1,15,9,1,1,9,3,5,1,5,3,1,3,3,3,3,3,1,5,3,1,1,3,1,3,1,1,1,1,1,1,1,
1],[1,6,9,4,12,1,1,9,9,3,12,21,18,18,3,1,1,3,1,3,3,3,4,9,9,18,1,3,3,3,3,3,3,1,
3,3,3,6,3,1,1,1,3,3,3,3,1],[1,5,9,9,1,1,9,3,1,1,15,9,5,3,3,3,1,3,3,3,3,3,1,3,
1,1,1,5,3,3,1,1,1,1,1,1,1,1],[1,3,6,7,3,1,1,3,3,3,3,3,3,6,6,3,1,2,2,3,3,3,1,3,
3,3,3,1,1,1,1,1,3,3,2,2,3,1,1,1,1,1,1,1,1],[1,3,6,7,3,4,1,3,3,3,3,3,3,6,6,4,4,
4,3,3,1,3,3,3,3,1,4,3,1,1,1,1],[1,4,3,4,3,3,1,1,3,4,3,3,1,4,1,1,1,1],[1,10,9,
4,3,9,9,1,3,3,3,4,4,4,3,3,3,1,3,3,3,4,1,3,1,1,1,1],[1,4,3,12,4,6,3,6,1,6,3,6,
4,8,3,6,6,1,3,4,1,3,1,2,1],[1,4,15,4,3,12,1,3,6,6,4,8,3,1,3,6,6,4,1,3,1,2,1],[
1,4,3,4,3,6,1,3,6,4,3,1,3,4,1,3,1,1],[1,6,9,4,9,2,18,6,12,6,9,4,1,1,3,1],[1,4,
3,4,3,1,1,3,3,4,1,3,3,4,1,1,1,1],[1,4,3,6,2,4,3,6,1,3,3,6,1,6,6,4,8,1,3,3,2,6,
4,1,1,1,2,1],[1,4,15,4,3,6,1,9,6,6,4,8,1,3,3,6,6,4,1,3,1,2,1],[1,4,3,4,3,1,3,
6,6,4,1,3,3,4,1,3,1,1],[1,4,3,6,6,4,3,3,3,1,3,3,6,3,6,4,4,4,3,3,3,1,3,3,3,4,1,
3,1,1,1,1],[1,4,3,12,4,3,6,1,3,12,6,4,8,1,3,3,6,6,4,1,3,1,2,1],[1,6,9,16,9,2,
18,6,6,9,8,12,1,1],[1,6,9,12,4,1,9,12,1,9,9,12,3,18,18,3,3,1,3,3,1,1,3,9,9,4,
18,3,3,3,1,3,3,3,3,6,3,1,3,3,3,1,3,1,3,1,3,1],[1,4,3,8,8,1,3,4,1,6,3,10,6,6,1,
2,1,1,2,2,2,3,3,3,4,6,1,1,1,1,1,1,1,2,2,2,2,3,1,1,1,1,1,1,1,1],[1,3,6,3,7,1,3,
3,3,1,3,3,3,6,6,3,3,2,1,2,3,3,3,1,3,3,3,3,1,1,1,1,3,1,2,2,3,1,1,1,1,1,1,1,1],[
1,1,12,5,5,1,3,1,3,1,3,3,1,6,12,6,1,2,4,1,2,1,3,3,3,1,3,3,3,1,1,1,1,1,1,1,2,2,
2,2,3,1,1,1,1,1,1,1,1],[1,9,3,7,4,3,3,3,1,3,9,9,4,4,4,3,3,3,1,3,3,3,1,4,3,1,1,
1,1],[1,3,6,9,1,4,3,3,3,1,3,3,3,6,6,4,4,4,3,3,3,3,3,1,3,1,4,3,1,1,1,1],[1,3,6,
3,7,4,3,3,3,1,3,3,3,6,6,4,4,4,3,3,3,1,3,3,3,1,4,3,1,1,1,1],[1,3,6,3,7,4,3,3,3,
1,3,3,3,6,6,4,4,4,3,3,3,1,3,3,3,1,4,3,1,1,1,1],[1,6,9,8,1,9,4,1,9,10,6,3,1,3,
2,2,3,3,3,4,6,1,3,1,1,3,1,1,2,2,3,1,1,1,1,1,1,1,1],[1,4,3,4,4,1,3,4,1,3,3,4,3,
6,1,1,1,1,1,1,1,3,3,3,4,6,1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,3,6,9,5,
1,3,9,1,1,3,9,1,6,6,3,2,3,2,1,3,3,3,3,3,1,3,1,1,3,1,1,1,3,2,2,3,1,1,1,1,1,1,1,
1],[1,1,12,7,7,1,3,3,1,1,3,1,3,6,12,6,1,1,4,2,1,2,3,3,3,3,3,1,3,1,1,1,1,1,1,1,
2,2,2,2,3,1,1,1,1,1,1,1,1],[1,6,3,4,6,4,3,12,1,3,6,3,3,4,4,4,3,3,3,1,3,3,3,4,
1,3,1,1,1,1],[1,6,3,6,4,4,3,12,1,3,3,6,3,4,4,4,3,3,3,1,3,3,3,4,1,3,1,1,1,1],[
1,9,10,4,1,3,3,21,3,4,4,4,3,1,3,3,3,3,3,4,1,3,1,1,1,1],[1,9,10,4,1,3,3,21,3,4,
4,4,3,3,1,3,3,3,3,4,1,3,1,1,1,1],[1,9,10,4,3,4,12,9,3,4,4,4,6,3,4,3,3,1,4,3,1,
1,1,1],[1,9,10,4,3,1,3,21,3,4,4,4,3,3,3,1,3,3,3,1,4,3,1,1,1,1],[1,3,6,4,6,4,3,
1,3,6,3,3,12,4,4,4,3,3,3,1,3,3,3,1,4,3,1,1,1,1],[1,9,10,4,3,1,3,21,3,4,4,4,3,
3,3,1,3,3,3,1,4,3,1,1,1,1],[1,3,6,6,4,4,3,1,3,3,6,3,12,4,4,4,3,3,3,1,3,3,3,1,
4,3,1,1,1,1],[1,5,2,2,2,5,1,1,1],[1,25,2,2,2,10,10,10,1,1],[1,5,2,2,2,1,5,1,
1],[1,5,2,2,2,1,5,1,1],[1,3,3,4,2,4,1,6,6,2,2,1,4,4,1,1,2,3,1,1],[1,9,3,4,2,4,
6,9,6,2,2,1,4,4,3,3,1,6,1,1],[1,9,2,3,4,4,6,9,6,1,2,4,2,1,2,1,6,1,3,3,1,1],[1,
3,3,4,2,4,6,1,6,2,2,1,4,4,2,3,2,1,1],[1,9,3,4,2,4,9,6,6,2,2,1,4,4,6,6,1,1,1],[
1,9,3,4,2,4,3,9,3,6,2,2,1,4,4,3,1,3,6,1,1],[1,27,3,4,2,4,27,36,18,36,2,2,1,4,
4,6,6,3,12,12,1,1],[1,3,3,4,2,4,3,3,6,1,2,2,1,4,4,3,1,1,2,1,1],[1,3,2,3,4,4,6,
6,1,1,2,4,2,1,2,1,3,2,1,1,1,1],[1,27,2,3,4,4,18,27,36,36,1,2,4,2,1,2,1,3,6,12,
6,3,6,3,1,1],[1,3,2,3,4,4,1,6,6,1,2,4,2,1,2,1,1,2,1,3,1,1],[1,3,2,3,4,4,6,1,6,
1,2,4,2,1,2,1,1,3,2,1,1,1],[1,9,2,3,4,4,9,6,6,1,2,4,2,1,2,1,3,1,6,3,1,1],[1,9,
2,3,4,4,6,9,6,1,2,4,2,1,2,1,3,6,3,1,1,1],[1,3,2,3,4,4,1,3,3,6,2,1,4,2,4,1,1,2,
3,1,1],[1,3,2,3,4,4,6,6,1,2,1,4,2,4,3,2,2,1,1],[1,9,2,3,4,4,3,9,3,6,2,1,4,2,4,
3,1,3,6,1,1],[1,9,1,2,1,7,2,3,9,3,6,1,2,1,1,2,2,2,1,1,3,1,3,3,3,1,1],[1,9,2,3,
4,4,6,9,6,2,1,4,2,4,6,1,6,1,1],[1,27,2,3,4,4,18,27,36,36,2,1,4,2,4,6,3,12,6,
12,1,1],[1,3,2,3,4,4,6,1,6,2,1,4,2,4,1,3,1,2,1,1],[1,9,2,3,4,4,9,6,6,2,1,4,2,
4,3,3,1,6,1,1],[1,27,1,2,1,7,2,9,18,9,63,18,1,2,1,1,2,2,2,1,1,3,6,3,3,6,6,6,3,
3,1,1],[1,3,1,2,1,7,2,3,3,6,1,1,2,1,1,2,2,2,1,1,3,1,1,1,1,1,1],[1,27,4,2,4,3,
36,18,36,27,4,2,1,2,1,1,2,12,6,3,6,3,3,6,1,1],[1,3,4,2,4,3,6,6,1,4,2,1,2,1,1,
2,3,2,1,1,1,1],[1,9,4,2,4,3,6,9,6,4,2,1,2,1,1,2,1,6,3,3,1,1],[1,3,4,2,4,3,6,1,
6,4,2,1,2,1,1,2,2,1,3,1,1,1],[1,9,4,2,4,3,6,6,9,4,2,1,2,1,1,2,6,3,1,3,1,1],[1,
9,4,2,4,3,6,9,6,4,2,1,2,1,1,2,3,3,6,1,1,1],[1,3,4,2,4,3,6,6,1,4,2,1,2,1,1,2,1,
1,3,2,1,1],[1,15,10,5,6,10,6,5,1],[1,15,10,5,6,10,6,5,1],[1,15,10,5,6,10,6,5,
1],[1,15,10,5,6,10,6,5,1],[1,15,10,5,6,10,6,5,1],[1,15,10,5,6,10,6,5,1],[1,15,
10,5,6,10,6,5,1],[1,15,10,5,6,10,6,5,1],[1,5,1,15,1,5,1,5,1,3,1,1],[1,8,15,1,
15,1,5,1,5,3,1,3,5,1,3,1,1,1,1],[1,5,1,5,1,5,1,5,1,1,1,1],[1,3,4,1,1,3,1,4,1,
1],[1,3,4,1,1,3,1,4,1,1],[1,5,1,5,1,5,1,5,1,1,1,1],[1,8,15,1,15,1,5,1,5,3,1,3,
5,1,3,1,1,1,1],[1,5,1,15,1,5,1,5,1,3,1,1],[1,6,8,15,6,9,6,10,10,2,5,15,24,3,3,
1,1,6,9,3,6,2,6,6,5,3,8,5,5,2,2,6,2,4,2,6,2,2,8,3,1,3,4,5,5,2,2,9,1,3,9,3,3,3,
3,6,3,3,6,4,4,5,2,2,1,1,3,1,1,3,2,2,1,3,1,1,1,2,1,3,1,3,3,1,1,1,1,1,1,1,1,3,1,
3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,5,6,13,6,9,4,6,6,8,13,2,4,9,18,6,
4,4,18,18,6,2,2,9,36,18,2,4,1,4,4,4,4,4,4,2,2,4,2,4,9,18,6,2,6,4,6,2,4,4,4,9,
1,1,18,2,9,1,4,18,36,4,18,4,2,2,4,4,1,1,2,1,4,4,4,4,6,2,9,1,1,2,2,6,2,1,2,2,2,
1,9,1,1,2,1,2,2,1,1,1,2,1,1,2,1,1],[1,4,6,9,4,4,4,2,8,2,4,9,18,6,2,6,6,6,6,4,
1,4,4,2,2,2,2,6,2,9,1,6,6,1,6,3,1,6,3,2,2,2,2,2,1,2,2,2,2,2,1,2,1,3,3,3,3,2,1,
1,1,1,1,1,1,1],[1,9,8,15,12,3,18,18,24,48,15,1,3,15,9,12,1,2,1,9,24,3,14,3,6,
18,6,15,18,3,9,6,24,3,6,3,36,6,24,3,6,18,3,18,3,6,15,24,9,3,18,3,1,1,3,1,3,3,
3,3,6,3,3,8,9,9,3,9,9,3,3,3,6,9,4,1,3,18,1,1,3,6,3,3,3,6,3,6,3,3,9,3,3,6,6,6,
6,3,3,8,3,9,3,9,3,3,3,6,3,3,9,6,3,3,3,1,3,3,1,1,3,3,3,3,3,1,1,3,3,3,1,3,3,3,3,
1,1,3,3,3,3,1,1,1,1,1],[1,6,6,13,4,6,9,6,6,10,4,1,4,9,11,1,4,1,1,11,4,6,9,8,4,
10,6,2,3,3,8,3,5,2,6,2,2,4,4,2,2,2,2,4,3,1,2,2,3,6,3,1,5,2,3,10,1,3,3,1,3,1,2,
2,2,6,2,2,3,3,8,2,4,3,3,2,1,4,1,1,1,3,2,2,1,1,1,1,2,2,2,1,1,1,1,1,2,1,1,1,1,1,
3,4,1,1,1,2,1,1,3,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,6,6,5,12,6,9,6,10,
10,1,2,5,3,9,2,1,2,9,3,6,10,9,12,10,6,2,2,3,2,5,2,5,6,8,5,4,2,6,2,2,1,2,1,1,2,
1,2,2,1,6,6,3,1,5,3,3,1,2,1,1,6,2,5,5,6,8,2,2,2,2,4,1,2,2,1,4,1,3,1,2,2,1,1,5,
3,3,1,1,1,1,1,1,2,2,1,1,1,1,1,1,1,1,1,4,1,3,1,1,1,1,2,2,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1],[1,5,4,11,8,3,4,6,4,12,7,1,3,3,5,2,5,1,5,6,7,6,3,2,6,2,7,10,2,1,4,
2,2,4,4,4,2,2,2,1,2,1,2,3,2,3,5,2,1,2,4,1,1,3,4,2,5,1,1,3,4,4,1,3,1,2,2,2,4,5,
2,2,2,3,4,2,8,2,1,2,2,1,1,2,1,1,2,2,4,2,2,1,2,1,3,1,4,2,1,1,1,1,1,2,1,1,1,1,1,
1,3,1,1,1,1,1,1,1,3,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,3,8,15,12,9,3,
14,18,15,2,1,15,24,9,3,1,1,12,9,3,24,18,6,6,18,15,48,18,1,9,3,1,1,9,3,4,18,1,
15,9,24,3,18,6,8,3,1,3,6,3,3,1,3,3,9,3,9,9,3,3,3,24,9,6,3,3,6,24,36,3,3,3,18,
6,3,3,3,6,6,18,6,3,1,3,3,3,3,3,9,3,3,3,6,8,3,9,3,3,9,3,6,1,1,3,1,3,3,1,6,3,6,
3,3,3,3,3,6,3,3,9,3,3,3,3,3,3,6,6,6,1,3,3,1,1,3,3,1,1,3,3,1,1,3,3,1],[1,4,6,
13,12,2,4,12,20,2,2,9,18,6,6,12,4,4,6,12,2,4,2,2,6,6,4,4,4,4,12,4,4,4,6,6,4,6,
6,4,9,6,6,1,2,1,12,4,4,4,4,4,6,4,2,6,1,2,2,2,4,4,4,1,6,2,2,2,6,2,1,2,1,1,1,2,
1,2,2,2,2,1,2,1,2,1,1],[1,3,6,5,6,3,3,8,6,5,1,4,5,3,3,4,1,2,3,3,6,8,3,2,5,6,2,
1,3,1,1,1,3,1,1,4,6,5,3,3,6,2,1,1,1,1,1,3,6,1,1,1,6,1,1,6,3,3,3,3,1,1,1,3,1,1,
1,1,4,1,6,2,1,1,1,3,1,1,1,3,1,1,1,1,1,6,1,3,1,3,1,1,1,1,1,1,1,1,1,1,2,1,3,1,1,
1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,4,4,11,10,6,2,4,8,20,4,1,
3,3,5,4,1,1,7,6,7,6,9,2,2,10,2,4,10,6,1,2,4,1,1,4,2,2,5,4,2,8,2,4,4,2,2,4,1,1,
4,2,1,1,3,4,4,2,1,1,3,3,4,1,3,1,3,2,2,4,6,3,5,2,8,2,2,2,4,4,1,2,2,1,2,2,1,1,2,
3,1,1,1,4,1,2,2,2,4,2,1,1,1,1,1,2,1,1,1,1,1,1,1,1,2,1,1,1,1,1,3,3,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1],[1,9,6,13,6,5,18,18,18,36,13,9,4,6,4,2,18,4,6,4,2,2,
6,9,8,6,2,9,18,4,6,36,18,4,4,6,18,4,9,18,4,4,2,2,1,1,6,2,2,9,1,1,4,4,4,4,2,4,
4,4,4,4,2,4,2,1,6,2,9,1,2,2,6,9,2,2,4,4,4,4,1,1,2,4,2,1,2,1,1,2,2,1,1,4,2,1,1,
2,1,2,1,2,1,1,1,1],[1,6,4,11,10,4,9,6,6,10,4,1,3,6,7,3,1,1,4,5,7,8,2,2,2,2,10,
4,20,4,3,2,3,4,2,3,6,8,2,5,4,2,2,2,2,4,1,2,1,1,2,1,1,1,1,3,3,1,1,4,4,4,4,2,4,
2,4,4,2,1,5,8,2,1,2,3,2,4,4,4,1,1,1,3,1,4,2,2,1,1,3,3,1,1,2,2,2,2,1,1,1,1,1,2,
2,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,2,2,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,5,
2,17,10,5,4,6,2,16,9,2,1,8,4,2,2,4,8,2,2,4,2,2,4,12,2,9,16,6,2,1,4,4,4,4,4,4,
4,2,2,4,4,2,1,4,4,2,4,2,2,2,4,4,4,2,1,1,2,2,2,1,1,1,4,8,4,4,4,4,4,4,4,2,4,4,4,
2,8,4,2,4,4,4,1,2,2,1,1,4,4,4,4,4,4,2,2,4,1,1,4,4,2,2,2,2,1,4,2,1,2,1,2,1,2,1,
1,4,4,2,1,2,1,1,2,1,1,1,2,1,1],[1,5,2,9,2,5,8,8,4,6,2,8,9,24,1,4,4,2,4,2,2,2,
1,8,6,2,20,20,4,4,24,1,4,4,4,2,2,4,12,4,4,4,1,4,20,4,2,2,1,1,1,1,1,4,4,4,4,2,
2,4,2,2,4,2,4,2,4,4,4,4,2,2,2,2,4,4,4,4,12,4,4,4,4,2,2,2,4,2,1,1,1,4,4,4,4,4,
4,4,2,2,4,4,2,2,4,4,4,4,4,1,1,2,2,4,4,2,2,1,2,2,1,4,2,2,4,2,2,4,4,4,4,2,4,2,4,
4,4,4,2,4,2,1,2,2,2,4,4,4,4,2,2,1,1,2,1],[1,5,2,9,2,5,4,6,2,8,9,1,4,4,2,4,2,2,
2,1,8,6,2,8,8,1,4,4,4,2,2,4,1,4,8,2,2,1,1,1,1,1,4,4,2,4,4,4,2,8,1,1,1,4,4,1,1,
4,1,2,2,1,4,1,2,2,1,1,1],[1,5,2,9,2,5,4,6,2,8,9,1,4,4,2,4,2,2,2,1,8,6,2,1,4,4,
4,2,2,4,1,4,2,2,1,1,1,1,1,4,4,2,4,2,4,4,1,1,1,4,4,1,1,4,1,1,2,2,4,1,2,2,1,1,
1],[1,5,2,9,2,5,4,6,2,8,9,1,4,4,2,4,2,2,2,1,8,6,2,8,8,1,4,4,4,2,2,4,8,1,4,8,2,
2,1,1,1,1,1,4,4,2,4,2,4,4,1,1,1,4,4,4,4,1,1,1,1,2,2,1,2,1,1,2,1],[1,4,2,5,4,4,
4,4,4,2,8,1,4,2,4,4,2,2,2,4,12,4,6,6,6,6,1,4,4,4,2,2,2,2,1,1,2,2,2,2,4,4,4,1,
2,3,1,2,3,2,2,2,2,4,4,4,4,1,2,2,2,2,2,2,1,1,1,1,1,1,2,2,2,4,2,1,1,1,1,1,1,1,
1],[1,9,6,9,6,1,4,4,18,18,18,36,9,12,9,6,2,18,6,6,9,6,6,6,6,4,9,18,6,36,18,6,
18,6,6,6,6,9,18,6,6,6,9,6,6,2,1,1,3,3,6,6,6,6,6,9,6,6,9,1,3,6,6,3,3,6,6,1,3,3,
3,3,1,3,3,3,3,1,1,1],[1,4,2,9,4,4,4,4,2,8,2,1,4,2,4,4,4,2,2,2,2,2,2,8,1,4,4,4,
2,2,2,2,2,4,2,1,1,2,2,4,4,2,2,2,2,2,1,1,1,2,1,2,2,2,1,2,2,2,2,2,2,1,1,2,1,1,1,
1,2,2,2,2,1,1,1,1,1,1,1,1],[1,4,2,1,8,4,4,4,4,2,8,1,4,2,4,2,4,4,2,2,2,2,2,2,8,
1,4,4,4,2,2,2,2,2,2,1,1,2,2,4,4,4,2,2,2,2,2,1,1,1,2,1,2,2,2,1,2,2,2,2,2,2,1,1,
2,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,5,2,5,2,1,4,4,4,6,2,8,5,12,1,4,4,4,2,2,
1,6,6,6,6,4,1,4,4,2,2,6,6,2,2,1,4,6,6,2,2,1,2,2,4,1,1,3,3,2,2,2,2,2,1,2,1,3,2,
2,1,1,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,3,6,13,14,3,3,12,22,9,1,2,9,11,11,
2,1,11,11,4,12,3,2,8,24,13,22,2,2,9,1,2,9,3,20,2,9,11,9,2,20,2,3,2,2,1,1,2,2,
2,2,1,3,10,10,1,1,9,1,1,2,2,2,2,11,3,4,20,2,2,2,2,8,2,8,4,4,1,2,2,3,1,3,1,9,1,
3,2,10,2,1,1,1,2,4,1,1,1,1,1,2,1,1,1,1,2,1,2,1,3,1,1,1,1,1,1,1,1,2,4,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1],[1,3,4,11,8,5,3,6,10,7,5,3,6,5,3,1,1,2,5,7,4,4,2,2,6,
7,12,6,2,3,2,1,2,3,2,2,3,8,3,5,4,5,2,2,4,3,4,2,2,2,5,1,1,1,1,3,1,1,4,1,4,4,2,
4,2,2,4,1,2,2,2,4,2,1,4,2,2,2,1,2,2,1,3,1,1,1,3,2,2,1,2,3,2,4,1,1,4,1,1,1,1,1,
1,1,2,1,1,1,2,2,1,1,1,1,1,1,1,1,1,1,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,4,
2,17,8,4,2,4,4,20,8,4,1,8,2,4,2,2,8,2,4,2,2,4,8,2,8,20,4,2,4,2,4,2,4,4,2,4,4,
4,4,4,4,8,2,4,4,4,1,2,2,2,1,2,1,4,8,4,4,4,4,2,2,4,4,4,4,4,4,4,4,2,4,4,2,2,2,1,
2,2,4,4,4,4,1,2,2,2,2,2,1,1,2,1,2,1,2,1,4,4,2,2,2,2,1,2,1,2,1,1],[1,4,2,9,4,8,
2,4,4,12,1,4,2,4,4,2,2,4,2,20,8,4,2,4,4,4,8,4,1,2,1,1,4,4,4,2,2,4,2,4,2,4,8,4,
2,2,2,1,2,4,4,1,2,1,2,2,2,4,4,1,2,1,1,2,1],[1,4,2,9,4,2,4,4,12,1,4,2,4,4,2,2,
4,2,8,2,4,4,4,4,1,2,1,1,4,4,4,4,2,1,2,1,2,1,2,1,1,1,1],[1,4,2,9,4,8,2,4,4,12,
1,4,2,4,4,2,2,4,2,20,4,8,2,4,4,4,8,4,1,2,1,1,4,4,4,4,2,2,2,2,4,4,8,2,2,4,2,1,
2,4,4,1,2,1,2,2,2,4,4,1,2,1,1,2,1],[1,4,2,9,4,2,4,4,12,1,4,2,4,4,2,2,4,2,8,2,
4,4,4,4,1,2,1,1,4,4,4,4,2,1,2,1,2,1,2,1,1,1,1],[1,4,2,5,4,4,4,4,2,4,4,12,1,2,
4,4,4,2,2,4,2,6,6,6,6,8,2,4,4,4,4,4,4,1,2,1,1,2,2,4,4,2,2,2,2,1,1,3,3,2,2,4,4,
2,2,2,2,2,1,2,2,2,4,1,2,1,1,1,1,1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,9,6,9,4,4,
6,9,4,2,9,18,6,18,18,6,9,36,18,6,6,6,6,12,2,9,18,6,6,6,6,6,9,18,9,6,6,18,36,
18,1,6,3,1,6,3,6,6,6,6,6,6,6,6,9,1,6,3,1,6,9,3,3,3,3,6,3,6,6,3,1,3,3,1,1,3,3,
1],[1,1,2,9,10,1,4,4,2,8,1,4,1,4,4,4,4,2,2,4,12,9,8,2,2,2,2,2,4,4,1,4,4,2,2,2,
1,2,2,1,2,2,4,4,8,2,2,2,2,2,4,4,4,2,2,2,1,1,1,2,1,2,2,2,2,1,4,1,2,1,2,2,2,1,1,
1,1,1,1,4,1,2,1,2,2,2,2,2,2,2,2,2,1,1,1,2,2,1,1,1,1,2,2,1],[1,1,2,1,2,1,4,4,2,
1,4,2,1,2,2,2,2,2,1,2,2,2,2,2,4,2,1,2,2,2,2,2,2,1,2,1,2,2,2,2,2,2,2,2,2,2,2,1,
1,1,2,1,2,2,2,2,1,1,2,1,2,2,1,2,1,1,1,1,1,1,2,1,2,1,1,1,1,1,1,1,1],[1,1,2,5,2,
5,4,4,2,5,4,4,1,4,4,2,4,2,1,8,6,6,6,6,6,12,4,1,4,6,6,2,2,4,1,2,1,2,2,4,2,1,2,
3,1,2,3,2,2,6,2,2,6,2,2,1,1,2,3,1,2,1,1,1,1,1,2,1,2,2,1,1,1,1,1,1,1,1,1],[1,
10,25,2,25,30,2,2,30,10,6,12,6,2,10,2,10,9,10,18,10,6,9,6,1,10,10,12,12,4,4,1,
2,2,10,6,6,2,6,6,1,1,1,2,6,2,6,1,2,1,2,1,2,1,2,2,2,2,1,2,1,1],[1,6,13,8,2,9,
18,4,4,6,2,2,20,12,6,4,9,1,2,1,12,4,4,2,6,12,2,2,4,4,2,2,1,2,2,1,1,6,6,2,2,4,
4,1,2,1,1,2,1],[1,6,13,8,2,9,18,4,4,6,2,2,20,12,6,4,9,1,2,1,12,4,4,12,2,6,2,2,
4,2,2,4,1,2,2,1,1,6,6,2,2,4,4,1,2,1,1,2,1],[1,6,13,2,9,18,4,4,6,2,2,8,6,4,9,1,
2,1,4,4,4,4,1,2,2,1,1,2,2,1,1,1,1],[1,6,13,2,9,18,4,4,6,2,2,8,6,4,9,1,2,1,4,4,
4,4,1,2,2,1,1,2,2,1,1,1,1],[1,8,15,6,6,1,3,15,9,6,5,2,1,3,24,3,10,9,2,6,6,6,
10,6,3,2,1,3,2,3,5,3,6,5,1,8,9,3,3,4,9,5,3,3,2,3,3,6,6,2,2,6,2,5,2,5,8,2,4,4,
1,1,1,3,1,3,1,2,2,1,1,3,1,3,1,1,5,3,3,1,2,1,1,1,1,1,1,3,4,3,3,1,1,1,1,2,2,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,6,13,12,4,6,9,4,12,2,2,6,18,4,12,2,2,12,6,4,
20,4,2,6,6,4,6,12,6,4,1,6,6,2,9,6,1,4,4,4,4,4,4,4,12,4,2,6,4,4,4,4,1,2,2,6,2,
6,2,2,6,6,2,1,4,4,2,1,1,1,2,2,1,2,1,4,4,2,1,2,2,2,2,2,1,1,1],[1,2,9,4,4,8,4,1,
4,2,4,4,2,2,2,4,12,4,2,20,8,4,2,4,4,1,1,2,1,4,4,4,4,4,2,2,4,4,2,2,4,8,8,4,2,2,
1,2,2,1,1,2,2,2,2,4,4,4,4,1,2,1,1,2,1],[1,2,9,4,4,8,4,1,4,2,4,4,2,2,2,4,12,4,
2,20,4,8,2,4,4,1,1,2,1,4,4,4,4,4,4,4,2,2,2,2,4,8,8,2,2,4,1,2,2,1,1,2,2,2,2,4,
4,4,4,1,2,1,1,2,1],[1,2,9,4,4,4,1,4,2,4,4,2,2,2,4,12,4,2,8,2,4,4,1,1,2,1,4,4,
4,4,4,4,1,2,2,1,1,2,2,1,1,1,1],[1,2,9,4,4,4,1,4,2,4,4,2,2,2,4,12,4,2,8,2,4,4,
1,1,2,1,4,4,4,4,4,4,1,2,2,1,1,2,2,1,1,1,1],[1,2,9,8,8,2,1,4,4,2,4,4,2,4,2,2,
20,4,2,4,4,1,2,1,1,4,4,4,4,2,2,4,4,2,2,4,4,2,2,4,2,2,1,1,2,1,2,2,2,4,4,4,4,1,
2,1,1,2,1],[1,2,9,8,2,1,4,4,2,4,4,2,4,2,2,8,8,2,4,4,1,2,1,1,4,4,4,4,4,4,2,2,1,
1,2,1,2,1,1,1,1],[1,2,9,8,8,2,1,4,4,2,4,4,2,4,2,2,20,4,2,4,4,1,2,1,1,4,4,4,4,
4,2,2,4,2,2,4,2,2,4,4,2,2,1,1,2,1,2,2,2,4,4,4,4,1,2,1,1,2,1],[1,2,9,8,2,1,4,4,
2,4,4,2,4,2,2,8,8,2,4,4,1,2,1,1,4,4,4,4,4,4,2,2,1,1,2,1,2,1,1,1,1],[1,6,13,8,
9,4,2,18,4,2,6,2,20,12,1,6,2,9,1,12,4,4,4,2,2,4,2,6,12,4,2,2,2,1,2,1,2,1,6,6,
2,4,4,1,1,1,2,2,1],[1,6,13,8,9,4,2,18,4,2,6,2,20,12,1,6,2,9,1,12,4,4,4,4,2,2,
2,6,12,2,2,4,2,1,2,1,2,1,6,6,2,4,4,1,1,1,2,2,1],[1,6,13,9,4,2,18,4,2,6,2,8,1,
6,2,9,1,4,4,4,4,4,2,1,2,1,2,1,2,1,1,1,1],[1,6,13,9,4,2,18,4,2,6,2,8,1,6,2,9,1,
4,4,4,4,4,2,1,2,1,2,1,2,1,1,1,1],[1,2,17,8,1,8,2,8,2,2,4,2,2,20,4,1,2,2,1,1,4,
8,4,4,4,2,2,4,4,2,2,4,4,2,2,4,2,1,2,2,1,1,2,2,2,4,4,4,4,1,1,1,2,2,1],[1,2,17,
8,1,8,2,8,2,2,4,2,2,20,4,1,2,2,1,1,4,8,4,4,4,4,2,2,4,2,2,4,2,2,4,4,2,1,2,2,1,
1,2,2,2,4,4,4,4,1,1,1,2,2,1],[1,2,17,1,8,2,8,2,2,4,2,2,16,1,2,2,1,1,8,4,4,4,4,
4,4,2,1,2,2,1,1,2,1,1,1,1],[1,2,17,1,8,2,8,2,2,4,2,2,16,1,2,2,1,1,8,4,4,4,4,4,
4,2,1,2,2,1,1,2,1,1,1,1],[1,6,9,4,4,4,9,4,2,18,4,2,6,2,6,6,6,6,8,1,6,2,9,1,6,
6,4,4,4,2,2,2,2,1,1,3,3,6,6,2,2,2,2,2,1,2,1,2,1,3,3,3,3,2,2,2,2,2,1,1,1,1,1,1,
1,1],[1,6,3,2,2,3,1,3,2,6,6,6,3,1,1,2,1,3,3,2,2,3,1,3,1,1,1,1],[1,9,3,3,1,4,8,
9,9,1,3,3,1,12,3,4,3,3,1,1,2,4,1,3,1,1],[1,9,3,3,2,2,9,9,1,3,6,1,9,3,6,3,1,3,
3,2,9,9,2,3,3,1,1,3,3,3,1,1],[1,9,3,3,1,4,8,9,9,1,3,3,1,12,3,4,3,3,1,1,2,4,1,
3,1,1],[1,6,1,6,2,2,3,1,3,2,2,2,6,6,2,3,1,1,1,2,3,3,2,2,1,2,1,3,1,1,1,1],[1,
12,10,9,2,2,24,18,9,4,2,6,12,6,2,6,6,9,1,2,12,12,6,6,6,4,1,1,1,6,2,2,2,1,1],[
1,6,1,18,2,2,3,3,9,2,2,6,12,2,12,9,1,1,1,3,6,3,6,2,1,2,3,3,1,1,1,1],[1,9,1,18,
3,2,2,3,18,3,18,9,3,2,1,9,12,3,2,12,9,1,1,1,12,6,3,3,6,6,6,3,1,1,2,3,3,1,1,2,
2,1,1],[1,6,1,6,2,2,3,3,9,2,2,2,6,6,2,9,1,1,1,3,3,6,6,2,1,2,3,3,1,1,1,1],[1,
16,6,9,2,2,24,18,9,8,6,2,8,6,2,6,6,9,1,6,8,12,6,6,6,2,1,2,1,1,6,2,2,1,1,1,1],[
1,6,9,6,2,2,9,9,9,2,6,6,6,2,6,9,1,6,6,2,1,2,1,1,1,1],[1,6,9,6,2,2,9,9,9,2,6,6,
6,6,2,9,1,6,6,2,1,2,1,1,1,1],[1,3,3,9,5,8,9,1,9,1,3,3,12,3,4,3,1,3,1,2,4,1,3,
1,1],[1,3,3,9,2,2,9,1,9,1,6,3,3,9,6,3,1,3,2,3,9,9,2,1,3,3,1,3,3,1,3,1],[1,3,3,
9,1,4,8,9,1,9,1,3,3,12,3,4,3,1,3,1,2,4,1,3,1,1],[1,3,1,3,2,2,3,3,1,1,2,1,3,3,
2,3,1,1,1,2,3,3,2,1,1,1,1,3,1,1,1,1],[1,6,10,9,6,2,2,9,6,18,9,9,2,2,2,6,6,6,6,
2,6,6,9,1,2,6,6,6,6,6,6,6,2,1,2,1,1,6,2,1,2,1,1,1],[1,3,1,18,9,2,2,3,18,9,3,
18,1,2,3,3,12,9,2,12,9,1,1,6,1,6,3,3,6,12,6,1,1,3,2,3,3,1,2,1,1,2,1],[1,3,1,3,
2,2,3,3,9,1,2,1,3,3,2,9,1,1,1,3,3,6,6,1,1,1,3,3,1,1,1,1],[1,6,9,6,2,2,9,9,9,2,
6,6,6,6,2,9,1,6,6,2,1,2,1,1,1,1],[1,6,9,6,2,2,9,9,9,2,6,6,6,6,2,9,1,6,6,2,1,2,
1,1,1,1],[1,6,9,6,2,2,9,9,9,2,6,6,6,6,2,9,1,6,6,2,1,2,1,1,1,1],[1,6,9,6,2,2,9,
9,9,2,6,6,6,6,2,9,1,6,6,2,1,2,1,1,1,1],[1,10,9,6,6,2,2,9,24,9,9,6,2,6,2,6,6,6,
2,6,2,9,1,6,6,6,2,6,6,6,6,1,1,1,2,2,6,1,2,2,1,1,1],[1,10,9,2,2,9,9,9,6,2,6,2,
6,6,9,1,6,6,1,1,1,1,1,1,1],[1,6,9,6,2,2,9,9,9,6,2,6,6,2,6,9,1,6,6,2,1,2,1,1,1,
1],[1,6,9,6,2,2,9,9,9,6,2,6,6,6,2,9,1,6,6,2,1,2,1,1,1,1],[1,18,3,5,8,9,1,9,18,
3,24,9,4,3,1,3,1,2,4,3,3,6,1,1],[1,9,5,8,1,3,3,9,4,3,4,1,3,3,1,2,4,3,1,1,1],[
1,6,9,5,8,1,9,9,15,1,3,3,4,1,3,3,1,2,4,1,3,1,1],[1,6,3,5,8,3,1,3,4,3,6,3,4,1,
3,3,1,2,4,3,1,1,1],[1,1,3,3,5,8,3,1,3,3,5,3,8,1,4,1,3,3,1,2,4,1,1,2,1,1],[1,3,
18,5,8,1,9,9,3,18,24,9,4,1,3,3,1,2,4,3,3,6,1,1],[1,5,2,2,1,1,1,10,10,1,1,2,2,
2,2,2,2,5,2,2,1,1,1,1],[1,12,27,2,2,1,27,27,6,6,18,6,6,18,9,1,2,18,18,2,18,18,
3,1,3,6,6,1,3,3,1],[1,3,18,2,2,1,9,9,6,12,6,12,9,1,2,6,6,2,6,6,3,2,6,6,1,1,1,
1],[1,3,6,2,2,1,3,3,6,6,6,2,3,1,2,2,3,3,1,1,3,2,3,1,1,1,1,1],[1,3,3,9,2,2,1,9,
9,6,6,3,1,9,3,3,1,2,2,9,9,3,3,3,1,3,3,1,1,3,3,1],[1,6,3,1,4,8,3,1,3,3,6,4,3,4,
1,3,3,1,2,4,3,1,1,1],[1,3,18,1,4,8,1,9,9,3,6,12,24,9,4,1,3,3,1,2,4,3,3,6,1,
1],[1,3,6,2,2,3,1,3,6,2,6,6,3,1,1,2,1,3,3,2,3,2,1,3,1,1,1,1],[1,10,9,2,2,6,9,
2,6,6,2,6,6,9,1,2,6,6,6,1,1,1,6,2,1,1],[1,1,18,6,2,2,3,3,9,2,2,12,6,2,12,9,1,
1,1,3,6,3,6,1,2,2,3,3,1,1,1,1],[1,9,1,4,8,3,1,3,9,4,3,4,3,1,3,1,2,4,3,1,1,1],[
1,3,18,1,4,8,9,1,9,3,6,12,24,9,4,3,1,3,1,2,4,3,3,6,1,1],[1,6,9,1,4,8,9,1,9,3,
1,3,12,3,4,1,3,3,1,2,4,1,3,1,1],[1,3,3,1,1,4,8,3,3,1,3,3,1,4,8,1,4,1,3,3,1,2,
4,1,1,2,1,1],[1,3,18,1,4,8,9,1,9,3,6,12,24,9,4,1,3,3,1,2,4,3,3,6,1,1],[1,3,6,
1,4,8,3,1,3,3,6,4,3,4,1,3,3,1,2,4,3,1,1,1],[1,12,27,2,2,27,1,27,6,6,18,6,6,18,
9,1,2,18,18,18,2,18,3,1,3,6,6,1,3,3,1],[1,3,18,2,2,9,1,9,6,12,6,12,9,1,2,6,6,
6,2,6,3,2,6,6,1,1,1,1],[1,3,9,3,2,2,9,1,9,6,6,9,3,3,1,3,1,2,9,3,2,9,3,3,3,1,3,
1,1,3,3,1],[1,3,6,2,2,3,1,3,6,6,6,2,3,1,2,3,1,2,3,1,3,2,3,1,1,1,1,1],[1,3,18,
1,4,8,9,1,9,3,6,12,24,9,4,1,3,3,1,2,4,3,3,6,1,1],[1,3,6,1,4,8,3,1,3,3,6,4,3,4,
1,3,3,1,2,4,3,1,1,1],[1,10,9,12,2,2,9,18,6,18,2,4,6,6,12,2,6,6,9,1,2,6,6,12,
12,6,1,4,1,1,6,2,1,2,2,1],[1,10,9,2,2,9,1,9,2,6,6,2,6,6,9,1,2,6,6,6,2,6,1,1,1,
6,6,1,1,1,1],[1,1,36,2,2,9,1,9,2,24,2,24,9,1,2,6,6,6,2,6,1,4,6,6,1,1,1,1],[1,
1,6,6,2,2,3,1,3,2,2,6,2,6,2,3,1,2,3,1,2,3,1,1,2,2,3,1,1,1,1,1],[1,1,3,3,2,2,3,
1,3,2,2,3,1,3,1,3,1,2,3,1,2,3,1,1,1,1,3,1,1,1,1,1],[1,10,9,2,2,9,9,9,2,6,6,2,
6,6,9,1,6,6,1,1,1,1,1,1,1],[1,10,9,12,2,2,9,6,18,18,2,6,6,2,12,6,6,4,9,1,6,6,
6,2,12,12,1,1,1,4,6,1,2,2,2,1],[1,10,9,2,2,9,18,2,6,6,2,6,6,9,1,6,6,1,1,1,1,2,
1],[1,10,9,2,2,9,6,2,6,6,2,6,6,9,1,6,6,6,2,1,1,1,6,1,2,1],[1,10,9,6,6,2,2,9,9,
6,9,18,2,6,6,2,6,6,6,2,6,2,9,1,6,6,6,2,6,6,6,6,1,1,1,2,2,6,1,2,1,1,2,1],[1,10,
9,2,2,9,18,2,6,6,2,6,6,9,1,6,6,1,1,1,1,2,1],[1,10,9,12,2,2,9,24,18,2,6,6,2,6,
6,12,4,9,1,6,6,6,2,12,12,1,1,1,4,6,1,2,2,2,1],[1,10,9,2,2,9,18,2,6,6,2,6,6,9,
1,6,6,1,1,1,1,2,1],[1,1,18,6,2,2,9,3,3,2,12,2,6,12,2,9,1,6,3,3,6,1,1,1,2,2,3,
3,1,1,1,1],[1,1,18,3,9,2,2,9,3,3,18,18,2,12,2,3,12,1,9,3,9,1,6,6,3,3,1,1,6,6,
12,1,2,1,3,3,3,1,1,1,2,2,1],[1,1,18,9,3,2,2,3,9,3,18,18,2,12,2,9,12,3,3,1,9,1,
6,3,1,6,3,1,12,6,6,1,2,3,1,3,3,1,1,1,2,2,1],[1,1,18,6,2,2,3,9,3,2,12,2,12,6,2,
9,1,6,3,1,6,3,1,1,2,2,3,3,1,1,1,1],[1,1,6,6,2,2,3,9,3,2,2,6,2,6,2,9,1,6,3,1,6,
3,1,1,2,2,3,3,1,1,1,1],[1,1,3,3,2,2,3,9,3,2,2,3,1,3,1,9,1,6,3,1,6,3,1,1,1,1,3,
3,1,1,1,1],[1,6,9,16,1,1,2,9,12,12,18,3,4,1,3,4,3,4,2,1,3,4,6,6,9,1,3,3,3,4,6,
3,3,3,4,6,6,1,1,1,1,1,1,1,3,3,1,1,1,1,1,1,1,1],[1,9,6,6,2,2,9,9,9,2,6,6,6,6,2,
9,1,6,6,2,1,2,1,1,1,1],[1,9,12,2,2,9,9,9,2,6,6,6,6,2,9,1,6,6,2,1,2,1,1,1,1],[
1,9,6,6,2,2,9,9,9,2,6,6,6,6,2,9,1,6,6,2,1,2,1,1,1,1],[1,9,12,2,2,18,9,2,6,6,6,
6,2,9,1,6,6,2,1,2,1,1,1,1],[1,3,6,4,1,8,1,3,3,4,3,6,3,4,1,1,2,3,3,4,1,3,1,1],[
1,6,9,4,1,8,1,9,9,12,3,1,3,3,4,1,1,2,3,3,4,3,1,1,1],[1,3,18,4,1,8,1,9,9,12,3,
6,24,9,4,1,1,2,3,3,4,3,3,6,1,1],[1,9,4,1,8,1,3,3,4,9,3,4,1,1,2,3,3,4,1,3,1,
1],[1,3,18,4,1,8,1,9,9,12,3,6,24,9,4,1,1,2,3,3,4,3,3,6,1,1],[1,3,1,3,4,1,8,1,
3,3,4,3,1,8,3,1,4,1,1,2,3,3,4,1,1,2,1,1],[1,3,3,9,4,1,8,1,9,9,12,3,1,3,3,4,1,
1,2,3,3,4,3,1,1,1],[1,3,6,8,1,4,1,3,3,3,6,4,3,4,2,1,1,3,3,4,3,1,1,1],[1,3,18,
8,1,4,1,9,9,3,24,6,12,9,4,2,1,1,3,3,4,6,3,3,1,1],[1,3,3,9,8,1,4,1,9,9,3,12,1,
3,3,4,2,1,1,3,3,4,1,3,1,1],[1,3,3,1,5,8,3,1,3,3,3,5,8,1,4,3,1,3,1,2,4,1,1,2,1,
1],[1,6,9,5,8,9,1,9,15,1,3,3,4,3,1,3,1,2,4,3,1,1,1],[1,3,9,3,5,8,9,1,9,3,3,12,
1,3,4,3,1,3,1,2,4,3,1,1,1],[1,3,9,3,1,8,4,9,1,9,3,3,1,12,3,4,3,1,3,2,1,4,3,1,
1,1],[1,9,5,8,3,1,3,9,4,3,4,3,1,3,1,2,4,3,1,1,1],[1,3,18,5,8,9,1,9,3,18,24,9,
4,3,1,3,1,2,4,3,3,6,1,1],[1,3,6,5,8,3,1,3,3,6,4,3,4,3,1,3,1,2,4,3,1,1,1],[1,3,
18,5,8,9,1,9,3,18,24,9,4,3,1,3,1,2,4,3,3,6,1,1],[1,3,18,1,8,4,9,1,9,3,6,24,12,
9,4,3,1,3,2,1,4,3,6,3,1,1],[1,3,6,1,8,4,3,1,3,3,6,4,3,4,3,1,3,2,1,4,3,1,1,1],[
1,6,9,6,10,2,2,9,24,9,9,6,2,6,2,2,6,6,6,2,6,9,1,6,6,6,2,6,6,6,6,2,1,1,2,1,6,1,
2,2,1,1,1],[1,6,9,6,2,2,9,9,9,6,2,6,6,2,6,9,1,6,6,2,1,2,1,1,1,1],[1,6,9,6,2,2,
9,9,9,6,2,6,6,6,2,9,1,6,6,2,1,2,1,1,1,1],[1,6,9,10,6,2,2,9,24,9,9,6,2,6,6,6,2,
2,6,6,2,9,1,6,6,6,6,2,6,6,6,2,1,2,1,1,6,2,1,2,1,1,1],[1,6,9,6,2,2,9,9,9,6,2,6,
6,6,2,9,1,6,6,2,1,2,1,1,1,1],[1,6,9,6,2,2,9,9,9,6,2,6,6,6,2,9,1,6,6,2,1,2,1,1,
1,1],[1,9,6,6,10,2,2,9,9,9,24,6,2,6,6,6,2,6,2,6,2,9,1,6,6,6,6,6,6,2,6,1,1,1,2,
2,6,1,1,1,2,2,1],[1,9,10,2,2,9,9,9,6,2,6,6,2,6,9,1,6,6,1,1,1,1,1,1,1],[1,9,12,
2,2,9,18,6,2,6,6,2,6,9,1,6,6,1,2,2,1,1,1,1],[1,9,6,6,2,2,9,9,9,6,2,6,6,6,2,9,
1,6,6,1,2,2,1,1,1,1],[1,9,6,10,6,2,2,9,9,9,24,6,6,2,6,6,6,2,6,2,2,9,1,6,6,6,6,
6,6,6,2,1,1,1,2,2,6,1,2,1,1,2,1],[1,9,10,2,2,9,9,9,6,6,2,6,6,2,9,1,6,6,1,1,1,
1,1,1,1],[1,9,12,2,2,9,18,6,6,2,6,6,2,9,1,6,6,2,1,2,1,1,1,1],[1,9,6,6,2,2,9,9,
9,6,6,2,6,6,2,9,1,6,6,2,1,2,1,1,1,1],[1,6,9,16,2,2,9,24,18,6,2,6,8,8,2,6,6,9,
1,6,6,6,8,12,6,2,1,2,1,1,6,2,1,2,1,1,1],[1,6,9,6,2,2,9,9,9,6,2,6,6,6,2,9,1,6,
6,2,1,2,1,1,1,1],[1,6,9,6,2,2,9,9,9,6,2,6,6,2,6,9,1,6,6,2,1,2,1,1,1,1],[1,9,
10,6,6,2,2,9,9,9,24,6,2,6,2,6,6,2,2,6,6,9,1,6,6,6,2,6,6,6,6,1,1,2,2,1,6,1,2,1,
1,2,1],[1,9,10,2,2,9,9,9,6,2,6,2,6,6,9,1,6,6,1,1,1,1,1,1,1],[1,9,6,6,2,2,9,9,
9,6,6,2,6,6,2,9,1,6,6,2,1,2,1,1,1,1],[1,9,6,6,2,2,9,9,9,6,6,2,6,2,6,9,1,6,6,2,
1,2,1,1,1,1],[1,9,12,4,18,9,12,4,12,9,1,12,4,1,2,1,1],[1,9,12,4,18,9,12,4,12,
9,1,12,4,1,2,1,1],[1,9,4,9,18,12,9,1,1,2,1,1],[1,9,4,9,12,9,1,1,1,1],[1,9,4,9,
18,12,9,1,1,2,1,1],[1,9,4,9,12,9,1,1,1,1],[1,8,15,1,10,15,15,10,1,5,5,5,3,1,3,
5,1,3,3,2,2,1,1,1,1],[1,10,25,1,25,15,1,1,15,5,1,5,1,5,5,5,5,5,5,1,5,5,1,5,3,
1,1,3,1,1,1,1,1,1,1,1,1],[1,8,15,1,5,15,15,15,1,5,15,15,3,1,3,5,1,3,3,1,3,1,3,
3,1],[1,8,15,15,10,1,15,10,1,5,5,5,3,1,3,5,3,1,3,2,2,1,1,1,1],[1,6,5,5,5,5,1,
5,10,1,5,5,5,1,1,1,5,1,1,1,1,1,2,1,1,1,1],[1,8,15,15,15,5,1,15,1,15,15,5,3,1,
3,5,3,1,3,3,1,3,1,3,1],[1,6,5,10,5,10,1,5,1,5,5,5,1,1,1,5,1,1,1,2,2,1,1,1,1],[
1,4,8,4,16,8,4,8,2,16,16,16,16,4,16,4,4,16,4,4,4,8,4,16,8,1],[1,5,2,2,1,10,10,
1,1,2,2,5,2,2,1,1],[1,9,2,2,1,6,6,1,9,2,2,1,6,6,1,1],[1,45,2,2,1,30,30,1,9,2,
2,5,6,6,1,1],[1,12,8,15,12,1,21,18,20,30,1,4,15,9,9,1,1,12,9,3,18,3,5,3,1,3,5,
3,4,9,6,15,4,4,18,6,4,18,4,6,3,1,3,3,4,6,3,9,3,3,3,3,5,3,6,5,1,1,1,3,1,5,3,3,
1,5,3,3,1,3,5,6,3,4,6,3,3,6,6,3,3,3,3,1,1,1,3,1,3,1,1,1,5,3,3,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,3,1,3,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,6,6,9,2,4,
9,6,6,6,1,3,9,9,1,1,1,9,6,12,8,3,3,6,3,3,2,6,3,1,3,3,3,3,9,4,4,4,1,3,3,1,3,3,
1,1,2,4,3,1,1,1,1,1],[1,2,6,9,6,4,1,6,6,2,1,9,18,3,3,6,6,6,12,8,1,3,3,2,6,6,3,
3,3,9,3,3,6,4,4,4,1,3,1,3,1,3,1,3,4,2,3,1,1,1,1,1],[1,6,10,9,14,4,9,6,18,18,3,
6,9,9,7,1,3,18,3,3,18,4,8,4,4,8,6,3,6,9,2,6,6,6,6,18,6,6,3,3,3,3,6,6,1,9,3,3,
3,4,4,4,1,8,8,3,6,6,1,3,6,6,3,3,3,3,2,1,4,1,2,1,3,1,2,2,1,1,1],[1,6,4,15,2,4,
9,6,6,6,3,12,1,6,1,3,6,6,6,4,8,8,3,3,6,2,6,12,3,3,1,3,3,6,6,6,4,4,4,1,3,1,3,3,
3,3,3,2,1,4,2,3,1,1,1,1],[1,9,6,9,6,1,4,18,18,18,36,9,9,6,2,18,6,6,9,12,12,4,
9,18,6,36,18,6,18,9,18,6,9,2,12,4,12,1,6,9,6,9,1,3,3,4,1,1,3,3,1,1],[1,6,4,3,
8,2,4,9,6,6,6,3,7,1,1,3,3,3,6,1,6,6,4,8,8,3,3,2,3,6,6,3,1,3,3,3,3,2,1,3,6,4,4,
4,1,1,3,3,3,3,1,1,2,1,4,2,1,1,1,1,1],[1,6,4,15,8,6,4,9,6,6,18,12,3,3,6,1,3,1,
3,9,6,6,3,6,12,18,4,8,8,4,4,3,6,3,6,2,6,6,6,6,6,6,6,6,12,3,3,3,1,3,3,3,6,6,6,
3,3,4,4,4,1,8,8,1,3,3,6,6,3,3,6,6,3,3,2,1,4,1,2,1,3,1,2,2,1,1,1],[1,6,4,3,2,
12,4,9,6,6,6,3,1,6,1,3,6,12,6,6,4,8,8,3,3,2,6,6,12,1,3,3,3,3,6,6,6,4,4,4,1,1,
3,3,3,3,3,3,2,1,4,2,3,1,1,1,1],[1,9,6,9,6,1,16,18,18,18,36,9,9,6,2,18,6,6,9,
16,9,18,6,36,18,6,18,9,18,6,9,2,8,12,6,9,6,9,1,12,8,1,1,1],[1,14,10,9,6,4,25,
18,18,18,1,6,9,3,3,3,3,6,9,3,6,8,4,4,8,4,6,9,6,9,6,6,18,6,2,6,6,6,1,3,3,3,6,6,
3,3,3,3,3,4,8,8,4,4,1,3,6,6,3,3,6,6,1,3,3,3,4,2,2,1,1,1,3,1,2,2,1,1,1],[1,2,4,
15,6,4,1,6,6,1,6,3,9,3,6,6,6,6,6,6,4,8,8,6,3,2,6,1,6,3,6,3,3,3,3,6,12,4,4,4,1,
3,1,3,3,3,3,3,4,2,1,2,3,1,1,1,1],[1,3,6,9,10,3,4,3,12,18,9,1,9,9,9,1,9,9,12,3,
6,18,9,18,12,12,4,9,1,9,3,18,9,9,9,18,3,1,3,9,9,9,9,3,18,6,4,12,12,1,3,3,9,3,
9,1,3,4,3,3,1,1,3,3,1,1],[1,2,4,3,8,6,4,1,6,6,1,3,3,3,1,7,3,6,9,6,6,6,4,8,8,3,
1,3,2,6,1,2,3,3,3,3,3,6,3,3,6,4,4,4,1,1,3,3,1,1,3,3,4,2,1,2,1,1,1,1,1],[1,8,4,
15,12,4,4,12,12,36,1,3,3,3,6,3,6,12,6,6,6,12,4,4,4,8,8,3,6,3,12,6,12,2,6,6,12,
6,1,3,6,3,3,6,3,3,3,6,6,6,4,8,4,4,8,1,3,6,1,3,3,3,6,6,6,3,3,4,2,1,1,1,2,3,1,2,
2,1,1,1],[1,2,4,3,18,4,1,6,6,1,3,3,9,6,12,6,12,6,4,8,8,3,6,2,6,1,6,6,3,3,3,6,
6,12,4,4,4,1,1,3,3,3,3,3,3,4,2,1,2,3,1,1,1,1],[1,3,6,9,10,3,4,3,12,18,9,1,9,9,
9,1,9,9,12,3,6,18,9,18,12,4,12,9,1,9,3,18,9,9,9,18,3,1,3,9,9,9,9,3,18,6,4,12,
12,1,3,3,9,3,9,1,3,1,4,3,3,1,3,1,3,1],[1,3,6,9,10,3,16,3,12,18,9,1,9,9,9,1,9,
9,12,3,6,18,9,18,16,9,1,9,3,18,9,9,9,18,3,1,3,9,9,9,9,3,18,6,4,4,12,3,3,9,3,9,
1,3,4,4,12,1,1,1],[1,3,4,3,4,1,4,3,6,6,3,3,3,3,1,1,1,3,3,4,3,4,4,4,3,1,3,3,6,
3,3,3,3,3,3,1,3,3,1,1,4,4,4,1,3,1,3,3,3,1,1,1,1,1,4,1,1,1,1,1],[1,3,10,9,10,7,
4,3,12,6,9,3,3,9,9,3,3,1,3,9,3,3,16,9,9,18,4,4,4,4,4,4,4,3,3,3,1,3,3,3,3,3,9,
3,9,3,3,3,3,3,3,3,3,3,3,3,1,3,9,3,3,9,1,3,3,3,3,3,4,4,4,1,4,4,4,4,3,3,3,1,3,3,
3,3,3,3,3,3,3,3,3,1,1,1,4,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,3,4,15,16,1,4,3,6,18,
3,6,3,6,9,1,6,9,6,4,6,18,15,12,4,4,8,8,4,6,3,1,6,3,6,6,3,9,6,3,6,6,6,6,1,3,3,
3,6,6,6,1,6,6,6,4,4,4,1,8,8,3,6,6,1,3,3,6,3,3,6,3,1,1,1,4,2,2,3,1,2,1,1,2,1],[
1,3,4,15,4,13,4,3,6,6,15,3,12,3,6,1,3,6,4,12,6,3,24,18,4,4,8,4,8,3,6,1,3,6,3,
3,12,6,6,3,1,3,3,3,6,6,6,12,1,6,6,6,6,6,4,4,4,1,8,8,3,1,3,6,6,3,3,6,3,3,6,1,1,
1,4,2,2,3,1,2,1,1,2,1],[1,3,4,3,4,1,4,3,6,6,3,3,3,6,1,3,6,4,6,3,6,4,4,4,3,1,3,
3,3,6,6,3,1,3,3,3,1,6,6,4,4,4,1,3,1,3,3,3,3,3,1,1,1,4,3,1,1,1,1],[1,3,9,7,10,
10,4,3,9,18,3,3,1,9,3,21,21,3,3,34,4,4,4,4,4,4,4,3,1,3,6,3,3,21,3,3,3,3,3,3,3,
3,3,3,6,3,1,1,3,3,18,3,3,3,3,3,3,1,4,4,4,4,4,4,4,3,3,3,1,3,3,3,3,3,3,3,3,3,3,
3,1,1,1,1,1,1,1,4,3,1,1,1,1,1,1,1,1],[1,7,10,9,10,3,4,9,16,18,9,1,3,9,3,9,3,3,
3,3,9,3,12,3,9,6,4,4,4,4,4,4,4,3,9,3,3,3,9,3,1,3,9,9,3,3,1,3,3,3,1,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,1,3,3,3,3,3,3,3,1,3,3,3,3,3,3,3,4,1,1,1,
1,1,1,1,3,1,1,1,1,1,1,1,1],[1,13,4,15,4,3,4,12,18,4,24,15,1,6,3,3,3,12,6,6,3,
6,3,6,8,4,4,8,4,6,3,6,12,6,12,6,6,6,1,6,3,3,1,6,1,3,6,6,6,3,3,3,6,3,4,8,8,4,4,
1,3,6,6,3,3,6,6,1,3,3,3,4,1,2,1,2,1,3,2,1,1,2,1,1],[1,1,6,9,6,9,4,6,9,2,9,18,
6,18,18,6,9,36,18,12,4,12,2,9,18,6,6,6,9,18,9,18,36,18,4,12,12,1,6,9,1,6,9,4,
1,3,3,1,3,1,3,1],[1,1,4,3,4,3,4,4,3,1,1,3,3,3,1,3,3,6,3,3,6,4,4,4,1,1,3,3,3,1,
1,3,3,3,3,3,3,3,3,6,4,4,4,1,1,3,3,1,1,3,3,4,1,1,1,1,1,1,1,1],[1,1,4,15,16,3,4,
4,12,3,1,3,9,6,6,9,6,6,6,3,6,18,15,18,4,8,4,8,4,1,6,3,6,3,6,6,1,6,6,1,3,3,3,3,
3,6,6,9,6,6,6,6,6,6,6,4,4,4,8,8,1,1,6,3,3,6,3,3,6,3,3,6,4,1,1,2,2,1,3,1,2,1,1,
2,1],[1,1,4,3,4,3,4,4,3,1,6,3,3,3,6,6,3,6,3,6,6,4,4,4,1,6,3,3,6,1,1,3,6,3,3,3,
3,3,6,4,4,4,1,1,3,3,3,3,3,3,4,1,1,1,3,1,1,1,1],[1,1,6,9,6,9,16,6,9,2,9,18,6,
18,18,6,9,36,18,16,2,9,18,6,6,6,9,18,9,18,36,18,8,12,6,9,1,6,9,8,12,1,1,1],[1,
7,9,3,10,10,4,9,9,34,1,3,3,3,3,21,21,3,3,18,4,4,4,4,4,4,4,3,3,3,18,3,3,21,3,1,
3,3,1,3,1,3,3,3,6,3,3,3,3,3,6,3,3,3,3,3,3,4,4,4,4,4,4,4,1,3,3,3,3,3,3,3,1,3,3,
3,3,3,3,3,4,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,12,6,9,4,12,6,2,12,9,18,6,6,8,
12,12,3,12,12,6,6,9,3,4,4,4,1,6,3,1,6,3,4,2,3,3,1,1,1,1],[1,18,6,9,6,4,27,18,
18,18,1,9,9,9,3,3,1,9,6,12,12,4,9,9,18,9,9,6,18,3,3,9,9,9,3,9,12,12,4,1,9,9,3,
9,9,1,3,4,3,3,1,3,3,3,1,1],[1,12,4,3,12,4,12,6,1,6,3,3,6,6,1,6,3,6,8,4,8,6,3,
6,6,6,1,6,3,3,3,3,3,6,4,4,4,1,3,3,3,3,1,3,3,4,2,1,2,3,1,1,1,1],[1,12,4,15,4,
12,6,1,7,3,9,3,6,6,6,8,4,8,6,3,12,6,1,6,3,3,3,3,3,6,4,4,4,1,3,3,3,3,1,3,3,4,2,
1,2,3,1,1,1,1],[1,12,4,3,2,6,4,12,6,1,6,3,3,1,6,6,9,6,6,6,8,4,8,6,3,6,6,6,12,
1,2,3,3,3,3,3,6,4,4,4,1,3,3,3,1,3,3,3,4,2,1,2,3,1,1,1,1],[1,6,6,9,18,4,3,18,
18,2,3,9,18,9,9,18,6,18,4,12,12,3,9,9,6,18,6,9,9,9,9,9,9,18,12,4,12,1,9,3,9,1,
9,3,9,4,1,3,3,3,3,1,3,1],[1,6,4,3,6,4,3,6,6,1,9,3,3,3,3,1,3,6,4,4,4,3,3,3,6,6,
1,3,3,3,3,3,3,3,4,4,4,1,3,3,3,3,1,3,3,4,1,1,1,3,1,1,1,1],[1,6,4,15,8,6,4,3,6,
18,12,1,3,3,9,3,3,1,6,6,6,9,6,12,18,6,4,4,4,8,8,3,3,3,6,6,6,6,12,1,3,6,2,3,3,
6,6,3,3,3,3,6,6,6,6,6,6,4,8,4,4,8,1,3,6,3,3,6,3,1,6,3,3,6,4,1,1,1,2,2,3,1,2,1,
1,2,1],[1,6,4,3,6,4,3,6,6,1,4,3,3,3,6,6,6,4,4,4,3,3,3,6,6,1,3,6,3,3,3,3,4,4,4,
1,3,3,3,1,3,3,3,4,1,1,1,3,1,1,1,1],[1,8,15,4,2,15,24,1,1,9,3,6,6,20,8,1,3,9,3,
9,3,3,3,3,6,4,4,4,1,1,1,1,3,3,3,3,4,5,1,1,1,1,1],[1,12,27,4,2,27,36,3,3,27,9,
6,18,12,4,12,12,3,9,9,9,27,9,9,9,9,18,4,12,12,1,1,3,3,9,9,9,9,4,3,1,3,3,1,3,3,
1],[1,6,21,4,2,9,18,12,12,6,6,6,12,8,6,12,9,3,6,3,12,12,4,4,4,1,1,6,6,3,3,4,3,
2,3,1,1,1,1],[1,6,9,12,4,1,6,9,9,6,6,1,6,9,6,6,6,12,8,3,6,3,6,6,3,3,9,3,3,6,
12,4,4,4,1,3,1,3,3,3,3,3,4,3,2,3,1,1,1,1],[1,10,9,4,1,7,9,3,3,3,3,9,3,6,4,4,4,
1,3,3,9,9,3,3,3,3,3,3,4,4,4,1,3,3,1,3,3,3,3,4,1,1,1,3,1,1,1,1],[1,4,15,2,6,4,
1,6,3,3,1,12,6,6,9,6,6,6,6,4,8,8,1,6,2,3,6,6,3,3,3,3,3,6,6,12,4,4,4,1,3,3,1,3,
3,3,3,4,1,2,2,3,1,1,1,1],[1,12,27,4,1,27,9,4,3,54,9,6,18,12,4,12,3,3,9,18,9,9,
27,9,9,9,18,4,12,12,1,1,9,9,3,3,9,9,4,3,1,3,3,1,3,3,1],[1,6,21,4,1,9,15,1,15,
12,12,6,12,8,3,6,3,12,3,3,3,6,6,6,12,4,4,4,1,1,3,3,3,3,3,3,4,3,2,3,1,1,1,1],[
1,6,9,2,6,4,1,1,9,9,3,1,1,9,6,9,6,6,6,12,8,3,2,3,1,3,3,9,3,3,3,6,3,3,6,4,4,4,
1,1,1,1,3,3,3,3,4,3,2,1,1,1,1,1],[1,10,9,14,6,4,1,9,3,18,6,3,3,7,9,3,18,9,18,
18,6,4,8,4,4,8,1,6,3,3,2,3,9,3,3,9,3,6,3,3,6,6,6,18,6,6,6,6,6,4,4,4,8,8,1,3,3,
1,6,6,3,3,3,3,6,6,4,1,2,1,1,2,3,1,1,1,2,2,1],[1,4,15,12,4,1,1,3,3,6,9,6,12,6,
6,6,4,8,8,1,6,6,3,6,3,6,3,3,6,6,6,4,4,4,1,3,1,3,3,3,3,3,4,1,2,2,3,1,1,1,1],[1,
10,9,4,1,9,3,3,4,9,12,6,4,4,4,1,3,3,3,12,3,9,3,3,3,4,4,4,1,1,3,3,3,3,3,3,4,1,
1,1,3,1,1,1,1],[1,4,27,4,1,3,9,1,18,15,6,6,4,16,1,12,3,3,6,3,3,6,6,12,4,4,4,1,
1,3,3,3,3,3,3,4,1,4,3,1,1,1,1],[1,12,6,9,16,12,6,2,12,9,18,6,6,16,12,3,12,12,
6,6,9,3,8,12,6,3,1,6,3,8,4,3,1,1],[1,6,21,16,2,9,18,12,12,6,6,6,16,6,12,9,3,6,
3,12,12,8,12,1,6,6,3,3,8,4,3,1,1],[1,6,9,12,16,2,9,18,6,18,18,16,6,9,18,3,9,
18,8,12,1,9,9,12,3,1,1],[1,6,9,4,16,2,9,18,6,6,6,16,6,9,6,6,1,3,8,12,1,3,3,4,
1,1,1],[1,6,9,12,16,2,9,18,6,18,18,16,6,9,18,18,3,9,8,12,1,9,9,12,3,1,1],[1,6,
9,4,16,2,9,18,6,6,6,16,6,9,6,1,3,6,8,12,1,3,3,4,1,1,1],[1,12,27,4,4,27,54,1,3,
9,9,18,6,12,4,12,18,3,9,27,3,9,9,9,9,9,18,4,12,12,1,3,1,3,9,9,9,9,4,3,1,3,3,1,
3,3,1],[1,6,9,12,4,1,6,9,9,6,6,1,6,9,6,6,6,12,8,3,6,3,6,6,3,3,9,3,3,6,12,4,4,
4,1,3,1,3,3,3,3,3,4,3,2,3,1,1,1,1],[1,8,15,4,1,15,9,2,1,24,3,6,6,20,3,1,3,8,9,
3,9,3,3,3,6,4,4,4,1,1,3,3,1,1,3,3,4,5,1,1,1,1,1],[1,6,21,4,1,9,15,1,15,12,12,
6,12,8,3,6,3,12,3,3,3,6,6,6,12,4,4,4,1,1,3,3,3,3,3,3,4,3,2,3,1,1,1,1],[1,6,9,
6,18,4,1,3,9,9,9,1,3,9,18,27,6,18,18,12,4,12,3,6,9,3,9,3,9,9,9,9,18,9,9,18,4,
12,12,1,1,3,3,9,9,9,9,4,3,1,3,3,1,3,3,1],[1,6,9,12,16,1,6,9,9,6,6,1,6,9,6,6,6,
16,3,6,3,6,6,3,3,9,3,3,6,12,4,4,12,3,1,3,3,3,3,3,4,4,4,3,1,1],[1,6,21,16,1,9,
15,1,15,12,12,6,16,3,6,3,12,3,3,3,6,6,6,12,4,4,12,1,3,3,3,3,3,3,4,4,4,3,1,1],[
1,8,15,12,12,1,1,15,9,12,4,1,1,9,9,3,20,21,18,30,18,5,3,1,5,3,3,3,3,4,1,3,4,3,
9,3,3,15,9,6,3,3,18,4,4,18,6,4,4,6,6,1,3,1,5,3,3,1,1,1,3,1,5,3,5,3,3,6,5,3,5,
6,3,3,3,4,6,3,3,3,3,6,6,1,1,1,1,1,1,1,3,1,1,1,3,1,1,1,1,1,1,1,1,1,5,3,1,1,3,3,
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],[1,10,9,4,3,3,9,9,7,1,3,3,
3,6,4,4,4,3,3,3,3,9,3,1,3,9,3,3,4,4,4,1,3,3,3,1,3,3,3,1,4,1,1,3,1,1,1,1],[1,4,
15,12,4,9,3,12,6,1,1,6,3,6,6,6,4,8,8,6,3,6,6,6,3,1,3,3,6,6,6,4,4,4,1,3,1,3,3,
3,3,3,1,4,2,2,3,1,1,1,1],[1,6,9,6,2,4,3,9,6,1,2,3,18,6,1,6,6,6,12,8,3,3,3,6,3,
6,3,9,3,2,6,1,3,4,4,4,1,1,3,3,3,3,1,1,3,2,4,1,1,1,1,1],[1,4,15,12,4,3,3,6,7,1,
9,6,12,6,6,4,8,8,3,3,6,1,3,3,3,3,6,6,6,12,4,4,4,1,1,3,3,3,3,3,3,1,4,2,2,3,1,1,
1,1],[1,4,3,6,6,4,6,3,4,1,3,3,6,6,3,6,6,4,4,4,3,6,3,3,6,1,3,3,3,3,3,6,4,4,4,1,
1,3,3,3,3,3,3,1,4,1,1,3,1,1,1,1],[1,12,27,4,3,27,27,2,3,36,9,18,6,12,4,12,9,3,
9,12,27,9,9,9,9,9,18,12,4,12,1,3,9,9,1,3,9,9,3,4,1,3,3,3,1,3,1],[1,10,9,4,3,9,
9,1,4,3,12,6,4,4,4,3,3,3,1,12,9,3,3,3,3,4,4,4,1,3,3,3,1,3,3,3,1,4,1,1,3,1,1,1,
1],[1,10,9,6,14,4,3,9,9,6,6,1,3,3,3,3,18,25,6,18,18,4,4,4,8,8,3,6,3,3,6,1,3,3,
3,9,9,6,3,3,18,2,6,6,6,6,6,6,6,4,4,4,1,8,8,3,3,3,6,6,1,3,3,3,6,6,1,2,4,1,1,2,
3,1,1,1,2,2,1],[1,6,9,18,6,4,9,9,18,3,2,9,18,18,3,18,6,18,12,12,4,9,9,9,18,9,
6,9,9,9,6,18,3,9,12,4,12,1,3,9,9,9,9,1,3,3,4,3,1,3,3,1,3,1],[1,4,3,12,12,4,6,
3,6,6,1,1,6,3,3,12,6,6,4,8,8,3,6,6,1,3,3,3,3,3,6,6,6,6,4,4,4,1,3,3,3,1,3,3,3,
1,4,2,2,3,1,1,1,1],[1,4,3,18,2,4,6,3,12,1,9,3,6,6,1,12,6,6,4,8,8,3,6,6,1,6,3,
3,3,2,6,6,6,12,4,4,4,1,3,3,3,1,3,3,3,1,2,4,2,3,1,1,1,1],[1,6,21,4,9,12,2,18,
12,6,6,6,12,8,3,6,6,9,3,12,12,12,4,4,4,1,6,3,1,6,3,3,4,2,3,1,1,1,1],[1,4,27,4,
3,18,1,1,9,15,6,6,4,16,3,1,3,3,3,6,12,6,12,6,4,4,4,1,3,3,3,1,3,3,3,1,4,4,3,1,
1,1,1],[1,4,15,12,8,4,3,3,12,6,3,1,6,3,6,12,4,6,6,12,36,12,4,8,4,8,4,3,6,3,3,
6,3,1,3,3,6,6,6,6,12,12,2,6,6,6,3,3,6,12,4,4,4,1,8,8,3,3,3,6,6,3,3,1,3,6,6,1,
2,4,1,2,1,3,1,1,1,2,2,1],[1,6,9,12,4,9,12,2,18,12,6,6,6,12,8,3,6,6,9,3,12,12,
12,4,4,4,1,6,3,1,6,3,3,4,2,3,1,1,1,1],[1,4,3,6,6,4,3,3,9,1,1,3,3,3,6,3,6,6,4,
4,4,3,3,3,3,1,3,3,3,3,3,6,3,6,4,4,4,1,3,3,3,3,3,1,3,1,4,1,1,3,1,1,1,1],[1,4,
15,6,2,4,3,6,6,6,1,3,9,6,6,1,6,6,6,6,4,8,8,3,1,3,3,3,3,3,6,6,2,6,6,6,12,4,4,4,
1,3,3,3,1,3,3,3,1,2,4,2,3,1,1,1,1],[1,6,9,4,16,9,2,18,6,6,6,16,6,9,6,1,3,6,8,
12,1,3,3,4,1,1,1],[1,6,9,4,16,9,2,18,6,6,6,16,6,9,6,1,3,6,8,12,1,3,3,4,1,1,
1],[1,6,21,16,9,12,2,18,12,6,6,6,16,3,6,6,9,3,12,12,12,8,12,6,3,1,6,3,8,4,3,1,
1],[1,6,9,12,16,9,12,2,18,12,6,6,6,16,3,6,6,9,3,12,12,12,8,12,6,3,1,6,3,8,4,3,
1,1],[1,6,9,12,16,9,2,18,6,18,18,16,6,9,18,3,9,18,8,12,1,9,9,12,3,1,1],[1,6,9,
12,16,9,2,18,6,18,18,16,6,9,18,3,9,18,8,12,1,9,9,12,3,1,1],[1,10,25,25,2,2,2,
10,2,10,10,10,10,1,2,1,1],[1,25,25,2,2,2,10,10,10,10,10,10,1,1,1],[1,25,25,2,
2,2,10,10,10,10,1,1,1],[1,25,10,25,2,2,2,10,10,2,10,10,10,1,1,2,1],[1,25,10,
25,2,2,2,10,10,10,2,10,10,1,1,2,1],[1,25,25,2,2,2,10,10,10,10,1,1,1],[1,25,25,
2,2,2,10,10,10,10,1,1,1],[1,12,3,3,4,2,4,9,7,6,1,15,6,6,6,2,2,1,4,4,3,3,9,4,4,
2,1,2,3,3,2,6,1,3,1,3,1,1,1,1],[1,6,9,3,4,2,4,9,2,9,6,12,12,6,2,2,1,4,4,6,9,2,
2,4,6,6,6,1,1,6,1,2,1,1],[1,12,27,3,4,2,4,27,7,15,27,6,6,36,18,36,2,2,1,4,4,
27,18,4,4,2,1,3,6,6,3,6,12,12,1,3,3,6,3,1,1,1,1],[1,18,9,3,4,2,4,27,12,9,6,18,
12,6,2,2,1,4,4,9,18,6,6,2,6,6,1,12,1,6,3,2,1,1],[1,12,27,2,3,4,4,27,6,6,18,15,
7,27,36,36,1,2,4,2,1,2,1,18,27,6,1,3,3,2,6,12,4,4,6,3,6,3,1,6,3,3,3,1,1,1,1],[
1,9,3,3,2,3,4,4,9,6,9,6,6,1,6,1,6,6,1,2,4,2,1,2,1,9,3,3,6,1,1,1,3,3,2,3,1,2,3,
1,1,1,3,3,1,1,1,1],[1,9,9,9,2,3,4,4,27,6,9,6,9,6,9,6,6,6,1,2,4,2,1,2,1,9,9,9,
6,1,3,3,3,3,6,3,1,6,3,1,1,3,3,3,1,1,1,1],[1,12,27,3,4,2,4,27,15,7,27,6,36,6,
18,36,2,2,1,4,4,27,18,8,6,3,6,2,6,1,3,12,12,1,6,3,6,1,1,1,1],[1,3,12,3,4,2,4,
9,6,3,1,3,6,12,6,4,6,2,2,1,4,4,3,9,3,2,3,3,1,2,3,1,4,6,2,1,3,3,1,1,1,1,1],[1,
9,18,3,4,2,4,27,9,6,6,18,6,6,12,2,2,1,4,4,9,18,6,6,6,2,1,6,12,1,6,3,1,2,1],[1,
9,3,4,2,4,9,9,6,6,2,2,1,4,4,9,6,6,1,1,1,1,1],[1,9,6,3,4,2,4,9,9,6,6,6,12,6,2,
2,2,1,4,4,9,6,6,6,6,2,1,2,4,1,6,1,1,2,1],[1,9,3,4,2,4,27,9,6,6,2,2,1,4,4,9,6,
6,1,1,3,1,1],[1,27,12,3,4,2,4,27,3,27,3,36,12,6,18,4,6,36,2,2,1,4,4,9,18,18,6,
3,1,6,3,1,3,4,12,6,12,2,1,3,3,3,6,1,1,1,1],[1,3,3,9,2,3,4,4,9,6,6,1,9,1,6,6,6,
6,1,2,4,2,1,2,1,9,3,3,3,1,3,2,1,1,2,1,1,6,3,3,1,3,1,3,1,1,1,1],[1,3,9,3,2,3,4,
4,9,6,6,1,6,6,9,1,6,6,1,2,4,2,1,2,1,9,3,3,3,3,1,2,1,1,6,3,3,2,1,1,1,3,3,1,1,1,
1,1],[1,27,12,2,3,4,4,27,18,27,7,15,36,36,6,6,1,2,4,2,1,2,1,27,18,3,4,6,12,6,
2,6,3,4,6,3,3,1,1,3,6,3,3,1,1,1,1],[1,27,12,2,3,4,4,27,18,27,15,7,36,36,6,6,1,
2,4,2,1,2,1,27,18,3,4,6,12,6,3,3,1,6,6,2,4,3,1,3,3,6,3,1,1,1,1],[1,3,6,16,2,
16,1,6,6,8,8,1,16,16,2,1,4,2,4,3,4,2,1,4,2,4,1],[1,3,2,6,16,16,1,6,6,8,1,16,8,
16,2,2,1,4,4,3,4,2,1,4,2,4,1],[1,3,12,2,3,4,4,9,6,4,12,6,3,6,1,3,6,2,1,4,2,4,
3,9,3,3,1,4,2,2,1,3,3,6,2,1,3,1,3,1,1,1,1],[1,9,6,2,3,4,4,9,2,6,6,9,6,12,6,2,
1,4,2,4,6,9,2,2,4,6,6,1,6,1,6,1,2,1,1],[1,27,12,2,3,4,4,27,4,18,12,3,6,27,3,6,
36,36,2,1,4,2,4,18,9,18,1,4,2,1,6,3,3,3,12,6,6,12,1,3,3,6,3,1,1,1,1],[1,12,27,
2,3,4,4,27,6,6,18,15,7,27,36,36,2,1,4,2,4,18,27,3,2,6,6,1,3,12,8,6,12,1,3,6,6,
1,1,1,1],[1,3,12,2,3,4,4,9,6,6,1,15,7,6,6,2,1,4,2,4,9,3,3,3,2,4,2,3,4,2,1,6,1,
3,3,1,1,1,1,1],[1,9,18,2,3,4,4,27,6,6,18,9,6,6,12,2,1,4,2,4,18,9,6,2,6,6,1,12,
6,1,3,6,2,1,1],[1,27,12,1,2,1,7,2,27,3,9,3,18,3,15,9,3,7,63,18,1,2,1,1,2,2,2,
1,1,9,9,27,3,1,3,3,6,3,1,1,3,3,6,6,6,4,4,3,3,1,3,3,3,3,3,1,1,1,1],[1,9,2,3,4,
4,9,6,9,6,2,1,4,2,4,9,6,1,6,1,1,1,1],[1,9,2,3,4,4,27,6,9,6,2,1,4,2,4,9,6,1,6,
1,3,1,1],[1,9,6,2,3,4,4,9,6,9,6,12,2,12,2,1,4,2,4,9,6,6,1,2,6,6,2,4,1,1,6,1,2,
1],[1,9,18,2,3,4,4,27,6,9,6,18,12,12,2,1,4,2,4,9,18,6,1,6,6,6,2,12,1,3,6,1,2,
1],[1,27,12,2,3,4,4,27,18,27,15,7,36,6,36,6,2,1,4,2,4,27,18,6,3,4,12,3,4,2,6,
1,12,6,1,3,3,3,6,1,1,1,1],[1,27,12,4,2,4,3,27,36,6,6,18,36,27,15,7,4,2,1,2,1,
1,2,18,27,12,6,3,3,1,6,2,6,3,4,3,4,6,1,3,6,3,3,1,1,1,1],[1,27,12,4,2,4,3,27,
36,6,6,18,36,27,7,15,4,2,1,2,1,1,2,18,27,12,6,6,2,3,4,6,3,3,1,3,4,6,1,6,3,3,3,
1,1,1,1],[1,27,12,4,2,4,3,27,36,18,6,6,36,15,27,7,4,2,1,2,1,1,2,18,27,12,6,3,
4,6,3,4,3,6,3,1,6,2,1,3,3,3,6,1,1,1,1],[1,9,3,3,4,2,4,3,9,6,6,6,9,6,1,1,6,6,4,
2,1,2,1,1,2,9,3,3,2,3,1,3,2,3,1,3,6,1,1,1,1,3,3,1,1,1,1,1],[1,3,9,3,4,2,4,3,9,
6,6,6,6,6,1,6,9,1,4,2,1,2,1,1,2,9,3,3,6,3,3,1,2,1,1,1,3,1,3,2,1,3,1,3,1,1,1,
1],[1,3,3,9,4,2,4,3,9,6,6,6,6,9,6,1,6,1,4,2,1,2,1,1,2,9,3,3,2,1,1,1,6,3,3,1,3,
3,1,2,1,1,3,3,1,1,1,1],[1,9,9,9,4,2,4,3,27,6,6,6,9,9,6,6,9,6,4,2,1,2,1,1,2,9,
9,9,6,1,3,3,6,1,3,3,6,3,3,1,1,3,3,3,1,1,1,1],[1,15,10,10,15,5,15,6,10,10,10,
15,6,5,10,6,5,1,1],[1,15,16,10,5,30,6,10,10,10,5,6,6,6,5,10,6,5,1,1],[1,15,10,
10,5,15,15,6,10,10,10,15,6,5,10,6,5,1,1],[1,15,10,10,15,5,15,6,10,10,10,15,6,
5,10,6,5,1,1],[1,15,16,10,5,30,6,10,10,10,5,6,6,6,5,10,6,5,1,1],[1,15,10,10,5,
15,15,6,10,10,10,15,6,5,10,6,5,1,1],[1,16,15,10,15,5,15,6,10,10,10,5,6,6,6,10,
5,6,5,1,1],[1,15,10,10,15,5,15,6,10,10,10,15,6,5,10,6,5,1,1],[1,15,10,10,15,5,
15,6,10,10,10,15,6,5,10,6,5,1,1],[1,10,15,10,15,5,15,6,10,10,10,15,6,10,5,6,5,
1,1],[1,16,15,10,5,15,15,6,10,10,10,5,6,6,6,10,5,6,5,1,1],[1,15,10,10,5,15,15,
6,10,10,10,15,6,10,5,6,5,1,1],[1,10,15,10,15,5,15,6,10,10,10,15,6,10,5,6,5,1,
1],[1,15,16,10,5,30,6,10,10,10,5,6,6,6,10,5,6,5,1,1],[1,15,10,10,5,15,15,6,10,
10,10,15,6,10,5,6,5,1,1],[1,10,15,10,15,5,15,6,10,10,10,15,6,10,5,6,5,1,1],[1,
15,16,10,5,30,6,10,10,10,5,6,6,6,10,5,6,5,1,1],[1,15,10,10,5,15,15,6,10,10,10,
15,6,10,5,6,5,1,1],[1,15,10,10,15,5,15,6,10,10,10,15,6,5,10,6,5,1,1],[1,15,10,
10,15,5,15,6,10,10,10,15,6,5,10,6,5,1,1],[1,8,15,1,20,15,1,5,1,5,15,3,1,3,5,5,
5,1,3,4,5,1,1,1,3,1,1,1,1],[1,8,15,4,1,15,15,1,20,5,3,1,3,1,4,1,3,3,5,4,1,1,
1],[1,9,4,1,3,3,1,4,3,9,1,4,1,3,3,1,4,3,1,1],[1,3,30,4,1,15,15,1,20,15,3,6,1,
4,1,3,3,5,4,3,1,1],[1,8,15,4,15,1,15,1,20,5,3,1,3,1,4,3,1,3,5,4,1,1,1],[1,9,4,
3,1,3,1,4,3,9,1,4,3,1,3,1,4,3,1,1],[1,3,30,4,15,1,15,1,20,15,3,6,1,4,3,1,3,5,
4,3,1,1],[1,8,15,1,15,20,1,5,1,5,15,3,1,3,5,5,5,1,3,4,5,1,1,1,3,1,1,1,1],[1,9,
10,25,18,9,18,18,30,60,25,2,6,25,30,18,6,2,2,18,30,10,30,18,6,2,12,36,6,25,60,
18,2,6,9,12,30,10,6,6,36,12,30,10,4,6,18,4,6,36,6,12,25,30,30,10,36,6,2,10,6,
2,10,6,6,10,10,6,12,10,10,9,1,10,18,18,10,6,6,9,30,6,9,1,12,10,10,12,12,30,36,
6,6,10,36,12,6,6,10,12,12,4,18,8,4,2,12,4,4,6,10,6,12,10,1,6,6,6,2,9,6,1,6,12,
12,12,12,6,6,6,2,10,10,9,6,18,6,6,2,10,10,12,12,4,4,10,10,18,12,10,10,6,9,1,6,
12,4,1,2,2,6,2,10,6,2,6,6,2,6,12,1,2,2,2,6,2,2,6,2,2,6,2,10,6,6,6,1,2,10,12,6,
6,1,9,1,2,2,1,2,1,2,6,6,2,6,6,1,2,6,6,1,6,2,1,2,6,1,1,12,12,12,4,1,2,2,6,2,6,
2,2,2,10,6,6,2,2,2,1,1,1,2,6,2,6,1,2,1,2,1,2,2,6,6,2,2,2,2,2,6,6,1,2,2,2,2,2,
2,1,2,1,2,6,2,6,1,2,1,2,1,2,1,2,2,2,2,2,2,6,2,2,2,2,1,2,2,2,2,2,2,2,6,1,2,2,1,
2,1,1,2,2,1,2,2,2,2,2,1,2,2,1,2,1,2,2,1,1,2,1,1],[1,5,6,13,6,9,8,8,4,6,6,8,13,
24,2,4,9,18,6,4,4,18,18,6,2,2,9,36,18,2,20,20,12,12,24,4,1,4,4,4,4,4,4,2,2,4,
12,4,4,4,2,4,9,18,20,12,6,2,6,4,6,2,4,4,4,9,1,1,18,2,9,1,12,12,4,18,36,4,18,2,
12,6,2,12,6,4,2,4,4,4,4,2,2,2,2,4,4,12,12,12,12,12,12,4,2,2,2,4,2,2,4,4,1,1,2,
1,4,4,4,4,4,4,4,4,4,2,2,4,4,2,2,4,4,4,4,6,2,12,9,1,2,2,12,4,6,2,1,2,2,6,2,1,2,
2,2,1,9,1,6,6,6,6,1,2,4,2,2,12,2,2,4,4,4,4,6,12,12,6,4,4,4,4,2,4,2,1,2,2,1,1,
2,2,2,2,4,4,4,4,1,2,1,6,2,6,1,2,2,2,1,2,2,1,1,1,1,6,6,2,2,2,1,2,1,1,2,2,2,1,1,
1,1,1],[1,5,6,13,6,9,4,6,6,8,13,2,4,9,18,6,4,4,18,18,6,2,2,9,36,18,2,8,8,4,1,
4,4,4,4,4,4,2,2,4,8,2,4,9,18,8,6,2,6,4,6,2,4,4,4,9,1,1,18,2,9,1,4,18,36,4,18,
4,2,4,4,4,4,2,4,4,1,1,2,1,4,4,4,4,4,4,6,2,9,1,4,1,2,2,6,2,1,2,2,2,1,9,1,1,2,2,
2,2,2,4,1,2,2,1,1,2,2,1,2,1,2,1,2,1,1,1,1,1,2,1,1,1,1,1,1,1,1],[1,4,6,13,12,8,
2,4,12,20,2,2,9,18,6,6,12,4,4,6,12,2,4,2,20,8,12,2,6,6,4,4,4,8,4,12,4,4,4,6,6,
4,6,6,4,9,6,6,1,2,1,12,12,4,4,4,4,2,6,12,4,2,4,2,4,8,4,2,2,4,6,4,2,6,1,2,2,2,
4,4,4,4,4,1,6,2,2,2,6,2,1,2,1,1,6,6,1,2,1,2,2,2,2,4,4,4,4,2,2,2,2,1,2,2,1,2,2,
1,2,1,1,1,1,2,2,2,1,1,1,1,1,1,1,1],[1,4,6,13,12,8,2,4,12,20,2,2,9,18,6,6,12,4,
4,6,12,2,4,2,20,12,8,2,6,6,4,4,4,8,4,12,4,4,4,6,6,4,6,6,4,9,6,6,1,2,1,12,12,4,
4,4,4,12,2,6,4,2,2,4,4,8,2,2,4,4,6,4,2,6,1,2,2,2,4,4,4,4,4,1,6,2,2,2,6,2,1,2,
1,1,6,6,1,2,1,2,2,2,2,4,4,4,4,2,2,2,2,1,2,2,1,2,2,1,2,1,1,1,1,2,2,2,1,1,1,1,1,
1,1,1],[1,9,6,13,6,5,8,8,18,18,18,36,13,24,9,4,6,4,2,18,4,6,4,2,2,6,9,8,6,2,
20,20,12,12,24,9,18,4,6,36,18,4,4,6,18,4,12,12,12,12,9,18,4,4,20,12,2,2,1,1,6,
2,2,9,1,1,12,12,4,4,4,4,2,4,4,4,4,4,2,2,4,2,2,4,2,4,2,4,4,4,4,2,2,6,6,12,12,
12,12,12,4,4,4,4,2,2,2,4,2,1,6,2,9,1,12,2,2,6,9,2,2,4,4,4,4,4,4,4,4,2,6,12,12,
6,6,12,4,4,4,4,12,1,1,2,4,2,2,4,4,2,2,2,1,2,2,2,1,4,1,2,2,1,1,6,6,6,6,4,2,2,4,
4,4,4,4,2,4,2,4,4,4,4,2,4,2,2,1,2,1,2,1,6,6,2,2,1,2,1,6,6,4,4,4,4,2,2,1,1,1,1,
1,1,2,2,2,2,2,2,2,2,1,1,1,2,2,1,1,2,1,1,2,1],[1,9,6,13,6,5,18,18,18,36,13,9,4,
6,4,2,18,4,6,4,2,2,6,9,8,6,2,8,8,9,18,4,6,36,18,4,4,6,18,4,9,18,4,4,8,2,2,1,1,
6,2,2,9,1,1,4,4,4,4,2,4,4,4,4,4,2,4,4,4,2,8,4,4,1,6,2,9,1,2,2,6,9,2,2,4,4,4,4,
1,1,2,4,4,4,2,1,2,2,2,1,1,2,2,1,1,2,2,4,4,4,2,1,2,1,2,1,2,2,1,2,1,2,2,1,1,1,1,
1,1,1,1,1,1,1,1,1,1],[1,5,2,17,10,5,8,8,4,6,2,16,9,24,2,1,8,4,2,2,4,8,2,2,4,2,
2,4,12,2,9,16,6,2,20,20,4,4,24,1,4,4,4,4,4,4,4,2,2,4,12,4,4,4,4,2,1,4,4,2,4,
20,4,2,2,2,4,4,4,2,1,1,2,2,2,1,1,1,4,4,4,8,4,4,4,4,4,4,4,2,4,4,4,2,2,4,2,2,4,
2,8,4,2,4,4,4,4,4,4,4,2,2,2,2,4,4,4,4,12,4,4,4,4,2,2,2,4,2,4,4,1,2,2,1,1,4,4,
4,4,4,4,4,4,4,4,4,2,2,4,4,2,2,4,4,4,4,2,2,4,4,1,1,4,4,2,2,4,4,2,2,4,2,2,2,2,1,
4,2,1,2,2,2,1,4,2,1,2,1,1,2,2,4,2,2,2,2,4,4,4,4,4,2,4,2,4,4,4,4,4,2,4,2,4,4,4,
4,4,4,4,4,4,2,1,2,2,1,1,2,2,2,4,4,4,4,2,1,1,2,2,2,4,4,1,2,2,2,1,1,1,1,1,2,2,2,
2,2,2,2,4,4,1,1,1,2,2,2,2,1,1,1,1,1],[1,5,2,17,10,5,4,6,2,16,9,2,1,8,4,2,2,4,
8,2,2,4,2,2,4,12,2,9,16,6,2,16,16,1,4,4,4,4,4,4,4,2,2,4,8,4,2,1,4,4,2,4,16,2,
2,2,4,4,4,2,1,1,2,2,2,1,1,1,4,8,4,4,4,4,4,4,4,2,4,4,4,2,4,4,8,4,2,4,4,4,4,4,8,
1,2,2,1,1,4,4,4,4,4,4,4,4,2,2,4,1,1,4,4,4,2,2,2,2,1,4,2,1,2,2,2,1,2,1,2,1,1,2,
2,4,4,4,2,1,2,2,1,1,2,2,1,1,2,1,2,1,1,1,1,1,2,1,1,1,1,1,1,1,1],[1,4,2,17,8,4,
8,2,4,4,20,8,4,1,8,2,4,2,2,8,2,4,2,2,4,8,2,8,20,4,2,20,16,4,4,2,4,2,4,4,2,4,8,
4,4,4,4,4,8,2,4,4,4,1,2,2,2,1,2,1,4,4,8,4,4,4,4,2,2,4,4,4,4,4,4,4,2,2,4,4,4,2,
4,2,4,16,8,4,2,2,4,2,4,4,2,2,2,1,2,2,4,4,4,4,4,4,1,2,2,2,2,2,1,1,2,2,2,1,2,1,
2,1,2,2,2,2,4,4,4,4,4,4,4,4,2,2,2,2,1,2,2,1,2,2,1,1,1,1,1,2,2,2,2,1,1,1,1,1,1,
1,1],[1,4,2,17,8,4,8,2,4,4,20,8,4,1,8,2,4,2,2,8,2,4,2,2,4,8,2,8,20,4,2,20,4,
16,4,2,4,2,4,4,2,4,8,4,4,4,4,4,8,2,4,4,4,1,2,2,2,1,2,1,4,4,8,4,4,4,4,2,2,4,4,
4,4,4,4,4,4,4,2,2,4,2,2,4,4,16,8,2,2,4,4,2,4,4,2,2,2,1,2,2,4,4,4,4,4,4,1,2,2,
2,2,2,1,1,2,2,2,1,2,1,2,1,2,2,2,2,4,4,4,4,4,4,4,4,2,2,2,2,1,2,2,1,2,2,1,1,1,1,
1,2,2,2,2,1,1,1,1,1,1,1,1],[1,10,25,8,2,25,30,2,2,30,10,6,12,6,2,20,20,10,2,
10,9,10,18,10,6,9,6,1,20,10,10,12,12,4,2,6,12,4,2,6,12,4,2,2,4,1,2,2,10,6,6,2,
6,6,1,1,6,6,1,2,6,2,6,1,2,1,2,1,6,6,2,2,4,4,4,4,2,1,2,2,2,2,2,1,2,1,1,1,1,1,2,
2,2,2,2,1,1,1,1,1,1,1,1],[1,10,25,8,2,25,30,2,2,30,10,6,12,6,2,20,20,10,2,10,
9,10,18,10,6,9,6,1,20,10,10,12,12,4,12,2,6,4,2,6,12,2,2,4,4,1,2,2,10,6,6,2,6,
6,1,1,6,6,1,2,6,2,6,1,2,1,2,1,6,6,2,2,4,4,4,4,2,1,2,2,2,2,2,1,2,1,1,1,1,1,2,2,
2,2,2,1,1,1,1,1,1,1,1],[1,6,13,12,4,8,6,9,4,12,2,2,6,18,4,12,2,2,12,6,4,20,4,
2,20,8,12,6,6,4,6,12,6,4,1,6,6,2,9,6,1,12,4,4,4,4,4,4,4,12,4,2,6,4,4,4,2,2,4,
4,4,2,6,12,8,8,4,2,2,4,1,2,2,6,2,6,2,2,6,6,2,1,4,4,2,1,1,2,2,1,2,2,1,2,1,6,6,
2,2,4,4,4,4,4,4,4,4,2,1,2,2,2,2,2,2,1,2,1,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,
6,13,12,4,8,6,9,4,12,2,2,6,18,4,12,2,2,12,6,4,20,4,2,20,12,8,6,6,4,6,12,6,4,1,
6,6,2,9,6,1,12,4,4,4,4,4,4,4,12,4,2,6,4,4,4,4,4,2,2,4,2,6,12,8,8,2,2,4,4,1,2,
2,6,2,6,2,2,6,6,2,1,4,4,2,1,1,2,2,1,2,2,1,2,1,6,6,2,2,4,4,4,4,4,4,4,4,2,1,2,2,
2,2,2,2,1,2,1,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,9,5,9,2,2,9,15,1,3,1,1,9,3,
10,3,9,9,10,3,3,3,3,3,1,3,1,3,5,2,1,2,3,2,9,3,15,9,2,2,2,3,3,5,3,1,1,1,1,1,2,
3,3,1,3,3,3,3,2,3,5,1,1,1,3,1,1,3,1,1,1,1,1,1,1,1],[1,12,12,27,2,2,24,18,1,6,
27,27,4,6,6,12,18,6,6,18,6,9,18,9,9,1,2,12,12,2,2,18,6,18,6,2,18,18,9,4,3,1,3,
2,6,6,6,6,6,6,6,2,2,2,1,2,3,3,6,2,1,2,1,1,1],[1,9,3,18,9,2,2,3,18,9,18,1,3,9,
9,9,3,6,3,9,12,9,6,12,3,9,9,3,9,9,9,1,1,3,12,6,2,1,3,3,3,9,6,9,6,6,2,6,6,9,3,
3,3,2,1,3,3,1,3,3,3,3,6,3,3,3,3,6,1,3,2,2,1,1,3,1,1,3,3,1,1,1,1,1,1,1,1],[1,9,
9,21,1,4,8,9,27,3,9,1,3,27,3,9,7,12,4,12,24,9,3,9,9,9,3,9,4,3,9,3,3,1,9,3,1,2,
12,9,4,4,4,3,1,3,3,3,3,3,3,1,3,6,1,4,3,3,1,1,1,1],[1,12,6,9,4,1,4,8,21,18,12,
18,9,3,1,9,3,3,1,1,3,3,1,12,16,8,9,9,4,18,3,4,3,3,3,6,3,1,3,3,3,3,1,3,12,1,2,
3,4,4,4,1,3,3,3,3,1,1,4,2,3,1,4,1,3,1,1,1,1],[1,9,3,18,9,1,4,8,9,9,18,3,9,1,3,
9,18,3,3,1,6,6,12,12,4,24,9,3,9,9,9,3,9,4,3,3,6,1,3,3,3,3,6,1,2,12,9,4,4,4,1,
3,3,3,3,3,3,3,1,3,6,1,4,3,3,1,1,1,1],[1,18,12,27,6,2,2,45,54,18,54,27,9,1,27,
6,6,2,6,18,18,6,6,6,18,27,27,6,54,9,1,6,6,18,36,18,2,18,18,18,18,6,18,18,2,18,
9,6,3,2,1,3,2,18,18,18,18,6,6,6,6,6,3,6,6,1,3,3,1,6,2,3,6,3,1,1],[1,9,3,18,9,
2,2,9,9,18,3,9,1,3,9,18,3,6,3,9,12,9,6,12,9,3,9,9,9,3,9,1,3,3,6,1,2,1,9,6,3,9,
3,6,6,12,6,2,6,9,3,3,3,2,1,3,3,3,3,1,3,3,3,6,3,3,3,6,3,3,2,1,1,1,1,1,2,3,3,1,
1,1,1,1,1,1,1],[1,9,3,18,9,1,4,8,9,9,18,3,9,1,3,9,18,3,3,1,6,6,12,4,12,24,9,3,
9,9,9,3,9,4,3,3,6,1,3,3,3,3,6,1,2,12,9,4,4,4,1,3,3,3,3,3,3,3,1,3,6,1,4,3,3,1,
1,1,1],[1,12,10,9,12,2,2,24,18,9,18,1,6,9,18,4,2,4,6,12,6,12,2,6,6,9,6,18,9,9,
1,2,12,12,2,2,6,6,6,6,12,12,6,2,6,9,4,1,4,1,1,2,6,6,6,6,6,6,6,2,2,2,2,1,1,1,2,
2,6,2,1,2,1,1,1],[1,9,1,36,9,2,2,3,18,3,36,3,9,1,3,9,18,3,2,3,9,24,9,2,24,9,3,
9,9,3,9,9,1,1,1,12,12,1,1,2,3,6,3,3,6,3,12,12,6,2,6,9,3,1,3,4,1,3,3,1,3,3,3,3,
3,3,3,6,3,6,1,1,2,4,1,1,1,1,1,2,3,3,1,1,1,1,1,1,1,1],[1,12,10,9,12,2,2,24,18,
9,6,9,18,9,18,4,2,6,12,6,2,12,6,6,4,9,18,18,9,9,1,2,12,12,6,6,6,6,2,12,12,9,4,
1,1,1,4,6,6,2,2,2,1,2,1,2,1,2,1,2,2,1,1,1],[1,12,10,9,2,2,24,18,9,6,18,4,2,6,
12,6,2,6,6,9,9,9,1,2,12,12,6,6,6,6,2,9,4,1,1,1,6,6,2,2,2,1,2,2,1,1,1,1],[1,12,
10,9,6,6,2,2,24,18,9,9,18,6,9,18,4,2,6,12,6,2,6,6,6,2,6,2,9,18,18,9,9,1,2,12,
12,6,6,6,6,2,6,6,6,6,9,4,1,1,1,2,2,6,6,2,2,2,1,2,1,2,1,2,1,2,2,1,1,1],[1,12,
10,9,12,2,2,24,18,9,24,18,18,4,2,6,12,6,2,6,6,12,4,9,36,9,9,1,2,12,12,6,6,6,6,
2,12,12,9,4,1,1,1,4,6,6,2,2,2,1,2,2,2,2,1,4,1,1,1],[1,16,6,9,6,6,2,2,24,18,24,
9,9,9,9,9,8,6,2,8,6,2,6,6,6,2,6,2,9,9,9,9,9,9,9,1,6,8,12,6,6,6,6,2,6,6,6,6,9,
2,1,2,1,1,2,2,6,6,2,2,1,1,2,1,2,1,1,1,1,1,1,1,1,1,1,1,1],[1,21,9,9,5,8,27,27,
1,9,3,3,9,19,9,3,4,12,24,9,9,9,3,9,3,9,4,9,9,12,1,3,3,3,3,1,2,9,4,4,4,3,3,3,1,
3,3,3,3,3,1,6,4,1,3,3,1,1,1,1],[1,4,6,9,12,5,8,3,12,18,1,9,9,9,12,18,1,15,3,1,
17,3,3,8,9,4,18,3,9,4,3,1,3,1,3,3,12,3,3,3,3,3,6,1,2,3,4,4,4,1,3,3,1,1,3,3,4,
2,3,4,1,1,3,1,1,1,1],[1,9,3,18,9,5,8,3,18,9,18,1,3,9,9,9,5,3,3,18,18,24,3,9,9,
3,9,9,9,4,3,18,1,3,3,3,3,3,6,1,2,9,8,4,1,3,3,3,3,3,3,3,1,3,6,4,1,3,3,1,1,1,
1],[1,6,12,27,18,2,2,9,18,54,1,27,27,27,18,54,2,6,6,6,6,18,18,6,6,18,27,6,54,
9,27,1,6,6,18,2,6,18,18,18,18,18,18,36,2,18,18,9,2,3,6,1,3,2,18,18,6,6,18,18,
6,6,1,6,1,6,3,3,3,6,6,2,3,6,1,3,1],[1,9,3,18,9,1,4,8,3,18,9,18,1,3,9,9,9,1,3,
3,6,6,12,4,12,24,3,9,9,3,9,9,9,4,3,6,1,3,3,3,3,3,6,12,1,2,9,4,4,4,1,3,3,3,3,3,
3,3,1,3,6,4,1,3,3,1,1,1,1],[1,6,10,9,6,2,2,9,6,18,6,9,9,1,9,2,2,2,6,6,6,6,2,6,
6,9,6,18,9,9,1,2,6,6,2,2,6,6,6,6,6,6,6,2,6,9,2,1,2,1,1,2,6,6,6,6,6,6,6,2,1,2,
2,1,1,1,1,6,2,1,2,1,1,1],[1,6,10,9,12,6,2,2,9,6,18,9,9,9,9,9,6,9,18,2,2,2,6,6,
6,6,2,6,6,6,2,6,2,9,9,9,9,9,9,9,1,2,6,6,6,6,6,6,6,6,2,6,6,6,6,9,2,1,2,1,1,2,2,
6,6,2,1,2,1,2,1,1,1,1,1,2,1,1,1,1,1,1,1,1],[1,6,10,9,18,2,2,9,6,18,9,15,18,18,
18,2,2,2,6,6,6,6,2,12,6,6,4,9,18,9,9,18,1,2,6,6,6,6,6,6,6,6,2,12,12,9,2,1,2,1,
1,4,6,6,2,1,2,1,2,1,2,2,2,1,2,1,1,2,1],[1,6,10,9,6,12,2,2,9,6,18,9,9,18,24,18,
2,2,2,6,6,6,6,2,6,6,12,4,9,18,9,9,18,1,2,6,6,6,6,6,6,6,6,2,12,12,9,2,1,2,1,1,
4,6,6,2,1,2,1,2,1,2,2,2,1,2,1,1,2,1],[1,6,10,9,6,2,2,9,6,18,9,9,6,18,2,2,2,6,
6,6,6,2,6,6,9,9,9,1,2,6,6,6,6,6,6,6,6,2,9,2,1,2,1,1,6,6,2,1,2,1,2,1,2,1,1,1,
1],[1,24,6,9,5,8,30,18,1,12,9,9,22,15,1,6,3,24,12,9,18,3,9,4,15,6,6,1,3,3,3,3,
3,1,2,9,4,4,4,3,3,3,1,3,3,3,4,3,6,4,1,3,3,1,1,1,1],[1,19,3,18,3,5,8,9,18,3,18,
1,9,3,9,9,18,3,5,18,3,8,24,24,9,9,9,1,9,9,9,4,3,18,6,1,3,3,3,3,3,24,1,2,9,4,4,
4,3,3,3,1,3,3,3,1,2,3,3,6,6,4,1,3,3,6,1,1,1,1],[1,12,27,5,8,1,27,9,3,3,27,9,
21,5,21,24,3,3,9,9,9,9,9,4,1,3,3,21,3,9,3,1,2,9,8,4,3,1,3,3,3,3,3,3,1,3,6,4,1,
3,3,1,1,1,1],[1,7,9,3,5,8,9,9,1,3,3,3,3,4,9,4,11,3,8,3,3,3,1,3,3,3,4,4,1,3,3,
9,3,9,3,1,2,3,4,4,4,3,3,1,3,3,3,3,1,2,1,1,4,1,3,1,1,1,1,1],[1,14,45,2,2,1,45,
27,1,1,27,9,10,6,30,10,6,30,9,1,9,9,9,9,9,1,2,2,2,30,18,18,6,2,30,18,2,2,18,6,
9,5,1,5,2,6,6,6,6,6,6,6,2,6,6,6,6,6,1,1,1,5,3,3,1,6,6,1,1,1,1,1,1,1,1],[1,5,9,
9,2,2,1,9,3,1,1,15,9,10,10,9,3,9,3,3,1,3,3,3,3,3,1,2,2,2,2,9,3,3,1,2,2,15,9,5,
3,3,5,3,3,2,3,1,2,3,1,3,3,3,3,1,1,1,1,1,1,1,3,1,5,3,3,1,1,1,1,1,1,1,1,1],[1,
12,27,2,2,1,27,27,9,27,6,6,18,6,6,18,9,27,27,1,2,18,18,2,18,18,9,3,1,3,6,6,1,
3,3,1,3,1,3,3,1],[1,12,27,12,2,2,1,27,27,6,6,18,18,6,6,18,6,12,6,18,4,9,6,9,9,
18,1,2,18,18,2,6,6,18,18,2,2,12,12,9,3,1,3,4,6,6,6,2,6,6,6,6,1,3,3,2,2,2,2,6,
1,2,1,1,2,1],[1,12,27,6,18,2,2,1,27,27,9,18,45,54,54,6,6,18,6,6,6,18,2,18,6,9,
6,27,27,54,1,2,18,18,2,18,18,18,18,6,6,6,18,18,18,36,9,3,1,3,2,6,6,6,6,2,18,
18,18,18,1,3,3,6,6,1,3,6,6,6,1,2,3,3,6,1],[1,12,27,2,2,1,27,27,18,18,6,6,18,6,
6,18,9,9,9,1,2,18,18,2,18,18,9,3,1,3,6,6,1,3,3,2,2,1,1,1,1],[1,3,18,9,9,2,2,1,
3,3,9,9,9,9,18,18,6,12,6,9,12,3,9,3,3,9,3,9,9,9,9,1,2,6,6,2,3,3,1,1,6,6,9,9,3,
3,12,6,6,9,3,2,3,3,6,3,1,6,3,1,3,3,3,3,3,3,3,3,1,1,1,1,1,3,3,2,2,3,3,1,1,1,1,
1,1,1,1],[1,12,27,12,2,2,6,27,18,1,6,27,18,6,4,6,18,12,6,6,18,9,6,18,9,9,1,2,
2,2,18,6,18,6,12,12,18,2,18,9,3,4,1,3,2,6,6,6,6,6,6,6,2,1,2,3,3,2,2,6,2,1,2,1,
1,1],[1,10,9,2,2,6,9,6,9,9,2,6,6,2,6,6,9,9,9,1,2,6,6,6,6,2,9,1,1,1,6,6,2,1,2,
1,1,1,1,1,1],[1,10,9,12,2,2,6,9,6,18,18,18,2,6,6,2,12,6,6,4,9,9,9,1,2,6,6,6,6,
2,12,12,9,1,1,1,4,6,6,2,1,2,2,2,2,1,1,1,1],[1,10,9,6,6,2,2,6,9,9,6,9,18,18,2,
6,6,2,6,6,6,2,6,2,9,9,9,1,2,6,6,6,6,2,6,6,6,6,9,1,1,1,2,2,6,6,2,1,2,1,1,2,2,1,
1,1,1],[1,10,9,12,2,2,6,9,18,24,18,2,6,6,2,6,6,12,4,9,9,9,1,2,6,6,6,6,2,12,12,
9,1,1,1,4,6,6,2,1,2,2,2,2,1,1,1,1],[1,12,27,1,4,8,3,27,27,1,3,9,9,9,1,9,12,4,
12,24,9,3,9,3,9,9,9,4,3,1,3,9,9,3,3,12,1,2,9,4,4,4,3,3,3,1,3,3,3,3,1,3,6,1,4,
3,3,1,1,1,1],[1,3,9,7,1,4,8,3,9,3,3,1,3,9,9,3,7,4,8,4,4,3,1,3,3,3,3,3,4,3,1,3,
3,3,9,9,1,2,4,3,4,4,4,3,3,3,1,3,3,3,1,2,1,1,1,4,3,1,1,1,1,1],[1,6,9,24,1,4,8,
12,9,18,1,12,9,18,3,6,1,3,6,12,16,24,9,12,18,3,9,4,3,1,3,3,3,3,3,6,6,12,1,2,9,
4,4,4,3,3,3,1,3,3,3,3,4,6,1,4,3,3,1,1,1,1],[1,3,3,18,19,1,4,8,3,3,18,9,9,1,9,
9,18,3,6,3,6,1,4,8,12,12,24,24,9,1,9,9,9,9,9,4,3,1,3,3,3,3,3,6,6,1,2,12,24,9,
4,4,4,3,3,3,1,3,3,3,1,2,3,3,6,6,1,4,3,3,6,1,1,1,1],[1,12,27,2,2,27,1,9,27,27,
6,6,18,6,6,18,9,27,27,1,2,18,18,18,2,18,9,3,1,3,6,6,1,3,3,1,3,1,3,3,1],[1,12,
27,18,6,2,2,27,18,1,27,27,18,9,54,54,6,6,18,6,18,6,18,6,6,2,9,27,27,6,54,1,2,
18,18,18,18,6,2,18,18,6,18,36,18,6,18,9,3,1,3,6,2,6,18,6,18,6,18,2,18,1,3,3,6,
6,3,1,6,6,6,1,2,3,3,6,1],[1,12,27,2,2,27,1,27,18,18,6,6,18,6,6,18,9,9,9,1,2,
18,18,18,2,18,9,3,1,3,6,6,1,3,3,2,2,1,1,1,1],[1,12,27,12,2,2,27,6,1,27,24,18,
6,6,18,6,6,18,12,4,9,9,9,6,18,1,2,18,18,6,18,2,2,18,6,2,12,12,9,3,1,3,4,6,6,6,
6,6,6,2,6,1,3,3,2,2,2,2,6,1,2,1,1,2,1],[1,3,18,9,9,2,2,9,9,3,1,9,9,3,18,18,6,
12,6,9,12,3,9,3,9,9,9,3,9,3,9,1,2,6,6,9,3,6,3,1,2,6,9,3,3,1,6,6,12,9,3,2,3,3,
6,3,3,3,3,3,3,6,3,3,1,3,1,3,1,1,1,3,1,3,1,2,2,3,3,1,1,1,1,1,1,1,1],[1,10,9,12,
12,2,2,9,18,9,6,9,24,18,18,2,4,6,6,12,2,6,6,12,4,9,9,9,18,18,1,2,6,6,12,12,6,
6,2,12,12,9,1,4,1,1,4,6,6,2,1,2,2,2,1,1,2,2,1,1,1,2,2,1],[1,10,9,24,2,2,9,24,
24,36,18,2,4,6,6,12,2,12,6,6,4,18,9,36,1,2,6,6,12,12,6,6,2,12,12,9,1,4,1,1,4,
6,6,2,1,2,2,2,2,2,2,1,1,1,4,1],[1,10,9,18,6,2,2,9,18,15,18,6,9,18,18,2,4,6,6,
12,2,6,6,6,2,6,2,9,9,9,18,18,1,2,6,6,12,12,6,6,2,6,6,6,6,9,1,4,1,1,2,2,6,6,2,
1,2,2,2,1,2,1,2,1,1,1,2,2,1],[1,10,9,12,2,2,9,18,6,6,18,18,2,4,6,6,12,2,6,6,9,
9,9,1,2,6,6,12,12,6,6,2,9,1,4,1,1,6,6,2,1,2,2,2,2,1,1,1,1],[1,10,9,2,2,9,10,
18,18,2,6,6,2,6,6,18,9,1,2,6,6,6,2,6,9,1,1,1,6,6,1,1,1,1,1,2,1,1,1,1],[1,10,9,
12,12,2,2,9,6,1,18,9,24,18,18,2,6,6,2,12,6,6,4,12,4,9,9,9,6,18,1,2,6,6,6,6,2,
2,6,6,2,12,12,12,12,9,1,1,1,4,4,6,6,6,6,6,6,2,6,1,1,1,2,2,2,2,2,2,6,1,2,1,1,2,
1],[1,10,9,2,2,9,1,45,2,6,6,2,6,6,9,9,9,1,2,6,6,6,2,6,9,1,1,1,6,6,1,1,1,4,1,1,
1,1],[1,10,9,6,6,2,2,9,6,1,9,9,6,9,18,2,6,6,2,6,6,6,2,6,2,9,9,9,6,18,1,2,6,6,
6,6,2,2,6,6,2,6,6,6,6,9,1,1,1,2,2,6,6,6,6,6,6,2,6,1,1,1,2,2,1,1,2,6,1,2,1,1,2,
1],[1,1,36,9,9,2,2,9,3,3,1,9,3,3,18,36,18,2,24,2,9,24,3,9,3,9,9,9,3,9,3,9,1,2,
6,6,3,3,6,1,1,2,6,3,3,1,1,12,12,12,12,9,1,4,3,3,6,3,3,3,3,3,3,6,3,3,1,3,1,3,1,
1,1,1,1,1,1,2,4,2,3,3,1,1,1,1,1,1,1,1],[1,6,9,8,32,2,9,18,6,24,6,9,16,8,2,16,
24,1,6,8,2,2,1],[1,6,9,4,4,32,1,9,9,1,9,6,12,12,3,3,9,16,4,1,4,8,1,8,24,1,3,3,
4,4,1,1,2,1],[1,6,9,24,4,1,8,1,9,9,12,12,18,18,12,16,3,6,1,3,6,24,3,12,9,9,18,
4,12,1,1,2,3,3,3,3,3,3,6,6,9,4,4,4,3,4,3,1,3,6,3,3,3,3,4,1,3,3,1,1,1,1],[1,9,
7,3,4,1,8,1,9,3,3,3,9,3,4,4,4,9,7,8,3,3,3,1,3,3,3,3,4,4,1,1,2,9,3,3,3,9,3,3,4,
4,4,1,1,1,3,3,1,2,3,3,3,3,4,1,1,3,1,1,1,1],[1,3,18,9,9,4,1,8,1,3,3,9,9,9,9,18,
18,4,12,12,3,6,6,1,3,24,3,9,3,9,9,9,9,4,12,1,1,2,3,3,3,3,3,3,6,6,9,4,4,4,1,3,
3,3,3,1,6,3,3,3,3,4,1,3,3,1,1,1,1],[1,12,27,4,1,8,1,27,9,3,3,27,9,12,4,12,9,1,
9,24,3,3,9,9,9,9,9,4,12,1,1,2,9,3,3,3,9,3,9,4,4,4,3,1,3,1,3,3,6,3,3,3,3,4,1,3,
3,1,1,1,1],[1,6,9,4,12,4,1,8,1,9,9,3,12,21,18,18,12,16,3,1,8,1,3,1,3,3,3,4,9,
9,18,4,12,1,1,2,3,3,3,3,3,3,1,3,3,3,6,3,4,4,4,3,4,1,1,1,2,3,3,3,3,4,1,3,1,1,1,
1,1],[1,9,21,9,4,1,8,1,27,9,3,3,27,9,12,4,12,9,7,3,24,9,3,3,9,9,9,9,4,12,1,1,
2,9,3,3,3,9,3,9,4,4,4,3,1,3,3,3,1,6,3,3,3,3,4,1,3,3,1,1,1,1],[1,3,18,19,3,4,1,
8,1,9,9,9,9,3,3,18,18,12,12,4,3,1,8,6,6,3,24,24,9,9,1,9,9,9,9,4,12,1,1,2,3,3,
3,3,3,3,6,24,6,9,4,4,4,3,3,1,3,3,1,6,6,2,3,3,3,3,4,1,3,3,6,1,1,1,1],[1,3,18,9,
9,8,1,4,1,3,3,9,9,9,9,18,18,3,24,6,12,6,1,3,4,12,3,9,3,9,9,9,9,4,2,1,1,3,3,3,
3,3,3,6,6,12,9,4,4,4,6,3,3,1,1,3,3,3,3,3,3,1,4,3,3,1,1,1,1],[1,6,9,8,32,9,2,
18,6,24,6,9,16,8,2,16,24,1,6,8,2,2,1],[1,6,9,12,4,5,8,9,12,1,9,9,12,3,18,18,
15,3,1,3,3,17,1,8,3,9,9,4,18,4,3,3,3,1,3,3,12,3,1,2,3,6,3,1,3,3,4,4,4,3,3,1,3,
4,2,1,3,1,3,1,4,3,1,1,1,1,1],[1,9,3,7,5,8,3,3,3,1,3,9,9,9,3,4,11,4,8,3,3,3,1,
3,3,3,4,3,3,3,1,3,9,9,1,2,4,3,4,4,4,3,3,3,1,3,1,2,3,3,1,1,1,4,3,1,1,1,1,1],[1,
3,18,3,19,5,8,9,3,9,1,9,3,9,18,18,3,3,18,5,18,8,24,24,9,9,9,1,9,9,9,4,3,3,3,1,
3,3,3,1,2,6,18,24,9,4,4,4,3,1,3,1,2,3,3,3,3,3,3,6,6,1,4,3,3,6,1,1,1,1],[1,12,
27,5,8,3,27,27,1,3,9,9,21,5,21,24,9,3,9,3,9,9,9,4,3,21,9,1,3,3,3,1,2,9,8,4,3,
3,3,3,1,3,3,3,1,3,6,1,4,3,3,1,1,1,1],[1,6,9,24,5,8,9,12,1,9,30,18,15,1,3,6,22,
24,3,9,9,12,18,4,3,3,3,1,3,3,15,1,2,6,6,9,4,4,4,3,3,3,3,1,3,3,3,4,6,1,4,3,3,1,
1,1,1],[1,9,9,21,5,8,3,9,9,1,3,27,27,9,4,3,12,19,24,9,3,9,3,9,9,9,4,3,3,3,1,3,
9,9,1,2,12,9,4,4,4,3,3,3,3,1,3,3,3,1,3,6,1,4,3,3,1,1,1,1],[1,3,18,9,9,5,8,9,9,
3,1,9,9,3,18,18,3,18,3,18,5,24,9,9,9,3,9,3,9,4,3,3,3,1,3,3,3,1,2,6,18,9,8,4,3,
3,3,3,3,3,1,3,3,1,6,1,4,3,3,1,1,1,1],[1,3,18,9,9,1,8,4,9,9,3,1,9,9,3,18,18,3,
6,3,6,1,24,12,12,4,9,9,9,3,9,3,9,4,3,3,3,1,3,3,3,2,1,6,6,12,9,4,4,4,3,3,3,3,3,
3,1,3,6,3,1,1,4,3,3,1,1,1,1],[1,6,9,6,12,10,2,2,9,24,9,9,18,9,9,24,6,2,6,2,2,
6,6,6,6,2,6,2,6,2,9,9,9,9,9,9,9,1,6,6,6,2,6,6,6,6,6,6,6,6,2,6,9,2,1,1,2,1,2,2,
6,6,1,2,2,1,1,1,1,1,1,2,2,1,1,1,1,1,1,1,1],[1,6,9,6,10,12,2,2,9,24,9,9,9,18,9,
24,6,2,6,6,6,2,2,6,6,6,2,6,2,2,9,9,9,9,9,9,9,1,6,6,6,6,2,6,6,6,6,6,6,6,6,2,9,
2,1,2,1,1,2,2,6,6,2,1,2,1,2,1,1,1,1,1,2,1,1,1,1,1,1,1,1],[1,6,9,16,6,6,2,2,9,
24,18,9,9,9,9,24,6,2,6,8,8,2,6,6,2,2,6,6,9,9,9,9,9,9,9,1,6,6,6,8,12,6,6,2,6,6,
6,6,9,2,1,2,1,2,2,1,6,6,2,1,2,1,2,1,1,1,1,1,2,1,1,1,1,1,1,1,1],[1,9,12,4,18,9,
18,12,4,12,9,9,9,1,12,9,4,1,2,2,1,1,1,1,1],[1,9,12,4,18,9,18,12,4,12,9,9,9,1,
12,9,4,1,2,2,1,1,1,1,1],[1,10,25,1,15,25,15,15,1,1,15,5,10,1,5,1,5,15,25,5,5,
5,15,5,5,5,1,5,5,5,5,5,5,5,5,1,5,3,1,1,3,1,3,3,2,5,1,1,1,1,3,1,1,5,3,1,1,1,1,
1,1,1,1,1,1],[1,9,4,8,4,16,8,6,18,18,6,4,8,2,16,16,16,16,4,16,4,4,16,4,4,6,6,
12,1,9,12,6,6,4,8,4,16,8,6,2,2,6,1,1],[1,9,4,8,4,16,8,18,6,18,6,4,8,2,16,16,
16,16,4,16,4,4,16,4,4,12,9,12,12,1,12,4,8,4,16,8,6,2,6,2,1,1],[1,9,4,8,4,16,8,
3,9,9,18,3,6,4,8,2,16,16,16,16,4,16,4,4,16,4,4,3,3,6,1,9,3,3,6,6,6,6,6,4,8,4,
16,8,1,3,3,1,2,6,1,1],[1,81,4,8,4,16,8,108,216,108,432,216,4,8,2,16,16,16,16,
4,16,4,4,16,4,4,36,72,18,144,144,144,144,36,144,36,36,144,36,36,4,8,4,16,8,12,
24,12,48,24,1,1],[1,9,4,8,4,16,8,6,18,6,18,4,8,2,16,16,16,16,4,16,4,4,16,4,4,
6,12,12,6,6,9,1,6,4,8,4,16,8,6,2,6,2,1,1],[1,9,4,8,4,16,8,18,6,18,6,4,8,2,16,
16,16,16,4,16,4,4,16,4,4,6,9,1,12,12,6,6,6,4,8,4,16,8,6,2,6,2,1,1],[1,9,4,8,4,
16,8,18,6,18,6,4,8,2,16,16,16,16,4,16,4,4,16,4,4,6,6,6,9,6,12,1,12,4,8,4,16,8,
6,2,2,6,1,1],[1,15,1,10,20,5,6,15,10,10,6,5,5,10,6,10,6,5,1,1],[1,15,11,20,5,
6,15,10,10,6,5,5,10,6,10,6,5,1,1],[1,15,11,20,5,6,15,10,10,6,5,5,10,6,10,6,5,
1,1],[1,15,10,1,20,5,6,10,15,10,6,5,5,10,6,10,6,5,1,1],[1,5,2,2,15,1,10,10,1,
1,5,15,2,2,5,3,2,2,5,1,1,3,1,1],[1,14,45,2,2,45,1,10,6,30,10,6,30,1,9,1,9,30,
30,2,2,5,1,5,9,2,6,6,2,6,6,5,1,6,6,1,1,1,1],[1,5,2,2,15,1,10,10,1,1,15,5,2,2,
5,3,2,2,5,1,3,1,1,1],[1,9,2,2,9,1,6,6,1,9,2,2,1,9,6,6,1,1,1,1],[1,9,2,2,45,1,
6,6,1,9,2,2,1,9,6,6,5,1,1,1],[1,6,12,27,14,4,9,6,18,18,4,9,27,54,7,7,1,3,18,9,
9,18,6,6,18,12,8,4,12,8,9,3,12,9,9,2,6,6,6,12,6,18,6,6,18,7,3,9,6,9,9,6,6,27,
3,3,9,9,9,9,9,18,9,9,18,12,4,4,4,12,12,4,4,1,8,8,6,9,6,6,3,1,3,3,3,3,6,6,3,9,
3,3,3,6,1,9,3,9,9,3,3,1,3,3,3,3,3,9,3,9,9,3,3,2,4,4,4,3,4,4,4,4,1,2,3,3,1,3,3,
3,3,3,3,3,3,3,3,3,3,3,1,2,2,1,4,1,3,1,3,1,3,1,1,1,1,1,1,1,1],[1,9,8,15,12,3,4,
18,18,24,48,15,1,3,15,9,12,1,2,1,9,24,3,14,3,6,18,6,15,18,20,12,12,3,9,6,24,3,
6,3,36,6,24,3,6,18,3,18,3,6,15,24,9,3,18,3,1,1,3,1,3,3,3,3,6,3,3,8,9,9,3,9,9,
3,3,3,6,9,4,1,3,18,1,1,3,6,4,12,4,4,4,20,12,1,3,3,3,6,3,6,3,3,9,3,3,6,6,6,6,3,
3,8,3,9,3,9,3,3,3,6,3,3,9,6,3,3,3,1,3,3,1,1,3,3,3,3,3,1,1,3,3,3,3,4,4,4,5,4,4,
3,4,4,1,3,3,3,3,1,1,3,3,3,3,1,1,1,1,3,5,1,4,1,1,1,3,1,1,1,1,1,1,1,1,1],[1,6,6,
21,8,18,4,9,6,6,18,12,1,6,9,15,1,10,1,3,15,12,18,27,12,12,30,18,6,12,8,8,4,12,
3,3,12,3,9,2,6,6,6,12,12,6,6,6,6,12,3,1,6,6,3,12,3,3,15,6,3,12,3,9,9,3,9,3,6,
6,6,18,6,6,9,9,24,6,12,4,4,4,4,4,12,12,1,8,8,3,3,6,1,6,3,3,3,3,6,6,3,3,3,3,6,
6,6,1,3,3,3,3,6,1,3,3,3,3,9,12,3,3,3,6,3,3,9,3,3,9,2,4,4,4,3,4,4,4,4,1,2,3,1,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,2,2,1,4,1,1,1,3,3,3,1,1,1,1,1,1,1,1],[1,14,12,
27,6,4,25,18,18,18,2,13,27,36,3,3,3,3,6,27,9,6,6,18,6,8,12,4,8,12,13,9,24,9,9,
6,6,18,6,12,2,6,6,6,12,3,3,9,12,9,9,6,6,9,3,9,27,3,9,9,3,6,9,9,18,12,4,8,8,4,
4,12,4,12,4,1,12,9,6,6,3,3,9,3,3,9,6,6,1,3,3,3,1,6,3,3,3,9,9,1,3,3,3,3,3,3,3,
3,3,9,9,3,3,4,4,4,4,4,4,4,2,2,3,1,3,3,3,3,3,3,1,3,3,3,3,3,3,3,3,3,4,1,2,2,1,1,
1,3,3,1,3,1,1,1,1,1,1,1,1],[1,3,8,15,12,9,4,3,14,18,15,2,1,15,24,9,3,1,1,12,9,
3,24,18,6,6,18,15,48,18,20,12,12,1,9,3,1,1,9,3,4,18,1,15,9,24,3,18,6,8,3,1,3,
6,3,3,1,3,3,9,3,9,9,3,3,3,24,9,6,3,3,6,24,36,3,3,3,18,6,3,3,3,6,6,18,6,4,4,4,
12,4,20,12,1,3,1,3,3,3,3,3,9,3,3,3,6,8,3,9,3,3,9,3,6,1,1,3,1,3,3,1,6,3,6,3,3,
3,3,3,6,3,3,9,3,3,3,3,3,3,6,6,6,4,4,4,4,4,4,4,3,5,3,1,3,3,1,1,3,3,1,1,3,3,1,1,
3,3,4,3,5,1,1,1,1,3,1,1,1,1,1,1,1,1,1],[1,8,6,21,24,4,4,12,24,48,2,4,9,18,12,
12,24,12,12,6,24,6,12,6,4,12,12,8,8,4,12,12,12,12,12,8,24,12,12,12,6,12,12,12,
12,12,9,12,12,3,6,3,24,12,12,12,12,12,12,8,4,12,4,4,4,4,8,1,12,12,4,12,3,6,6,
6,12,12,12,1,12,4,6,6,12,6,3,6,3,3,3,6,3,4,4,4,4,4,4,4,2,1,3,3,2,4,6,6,6,3,6,
3,6,3,4,1,2,2,3,1,3,1,1,1,3,1,1,1,1,1,1,1,1],[1,9,12,27,24,7,4,18,18,36,72,27,
3,9,27,27,24,3,2,3,27,36,9,30,9,18,54,6,27,54,12,12,4,12,12,4,4,9,9,18,36,9,6,
9,36,18,36,9,6,18,9,54,9,18,27,36,27,9,54,9,3,3,9,3,9,9,9,9,18,9,9,12,27,27,9,
9,27,9,9,9,18,27,8,3,9,54,3,3,9,18,12,12,12,4,12,12,12,1,12,24,12,4,12,9,9,9,
18,9,6,9,9,9,9,9,18,18,18,18,9,9,12,9,9,9,27,9,9,9,18,9,9,27,18,9,9,9,3,9,9,3,
3,9,9,9,9,9,1,3,9,9,9,3,3,12,4,12,1,4,12,4,12,1,3,3,1,3,9,9,9,9,1,3,9,9,9,9,3,
3,3,3,3,3,3,6,3,3,3,1,3,3,4,1,3,3,3,1,3,3,3,1,1,1],[1,6,10,9,20,14,4,9,6,18,
18,3,6,9,9,13,6,1,4,21,3,12,18,25,24,18,18,6,4,8,4,4,8,8,8,6,3,6,9,2,9,6,12,9,
12,6,18,6,6,3,6,3,3,6,3,6,6,1,12,12,9,3,9,3,9,3,6,3,3,18,2,13,9,6,24,6,6,6,6,
12,4,4,4,4,4,4,4,1,8,8,8,8,3,6,6,1,6,3,3,3,6,6,3,3,9,3,9,3,3,3,3,3,3,6,6,3,3,
3,3,3,1,1,3,3,12,3,9,3,3,3,3,6,6,2,1,4,4,4,2,4,4,4,4,1,2,1,2,3,3,3,1,3,3,3,3,
3,3,3,3,3,3,3,1,2,2,1,1,1,1,1,1,4,2,2,3,1,1,1,1,1,1,1,1],[1,9,6,21,6,13,4,18,
18,18,36,21,9,12,6,12,2,18,12,6,12,6,6,6,9,24,18,6,12,12,8,4,8,9,18,12,6,36,
18,12,12,6,18,12,9,18,12,12,6,6,3,3,6,6,6,9,3,3,12,12,12,12,2,12,12,12,12,12,
6,12,6,12,4,4,4,4,12,4,1,8,8,3,6,6,9,3,6,6,6,9,6,6,12,12,12,12,3,3,6,12,6,3,6,
3,1,6,6,3,3,12,3,3,4,4,4,1,4,4,4,4,2,2,6,3,1,6,3,6,3,6,3,3,3,3,3,2,1,1,1,1,1,
4,2,3,1,1,1,1,1,1,1,1],[1,6,4,27,14,8,4,9,6,6,18,12,3,3,18,7,9,1,1,6,9,15,12,
4,6,6,6,18,12,48,12,4,8,16,4,8,4,3,6,3,12,2,3,6,12,6,9,12,6,6,6,6,12,3,6,3,3,
6,3,3,1,3,3,3,3,3,6,6,12,12,6,12,6,12,12,2,1,9,12,6,3,6,9,6,12,12,12,4,4,4,4,
4,4,4,1,8,8,8,8,3,1,3,3,3,6,6,6,3,3,3,3,3,3,6,6,6,6,3,3,3,3,3,6,6,3,3,3,3,3,3,
6,1,1,3,3,3,3,3,3,3,6,6,12,2,1,4,4,4,2,4,4,4,4,1,4,1,3,3,3,1,3,3,3,3,3,3,3,3,
3,3,3,1,2,2,1,1,1,1,1,1,4,2,2,3,1,1,1,1,1,1,1,1],[1,9,6,9,6,1,4,4,16,18,18,18,
36,9,12,9,6,2,18,6,6,9,6,6,6,6,4,16,16,16,9,18,6,36,18,6,18,6,6,6,6,9,18,6,6,
6,9,6,6,2,1,1,3,3,6,6,6,6,8,12,16,6,9,6,6,9,1,3,6,6,3,3,6,6,1,3,3,3,3,12,8,4,
4,1,3,3,3,3,1,1,4,1,1,1,1,1,1],[1,9,6,21,6,13,16,18,18,18,36,21,9,12,6,12,2,
18,12,6,12,6,6,6,9,24,18,6,16,16,16,9,18,12,6,36,18,12,12,6,18,12,9,18,12,12,
6,6,3,3,6,6,6,9,3,3,12,12,12,12,2,12,12,12,12,12,6,12,6,8,12,16,3,6,6,9,3,6,6,
6,9,6,6,12,12,12,12,3,3,6,12,6,3,6,3,1,6,6,3,3,12,12,8,8,8,4,4,6,3,1,6,3,6,3,
6,3,3,3,4,1,8,3,1,1,1,1],[1,9,6,9,6,1,12,12,16,18,18,18,36,9,36,9,6,2,18,6,6,
9,18,18,18,18,12,16,16,16,9,18,6,36,18,6,18,18,18,18,18,9,18,18,18,6,9,18,18,
2,3,3,9,9,18,18,18,18,8,12,16,6,9,18,6,9,3,9,18,18,9,9,18,18,1,9,9,9,9,12,8,
12,12,1,9,9,9,9,3,3,12,1,3,1,1,1,1],[1,21,12,27,16,3,4,48,54,48,108,27,1,9,27,
9,18,3,4,3,9,54,9,18,3,6,18,18,27,18,12,12,4,4,12,12,4,9,27,18,54,9,16,9,108,
18,54,9,18,54,3,18,9,18,27,54,9,9,18,3,3,3,9,1,9,9,9,9,18,9,9,18,9,9,9,27,9,9,
9,9,18,9,6,3,9,18,3,3,9,6,12,12,12,24,12,4,12,12,12,12,4,12,1,9,9,9,18,9,18,9,
9,27,9,9,18,18,18,18,3,9,18,9,27,9,9,9,9,9,18,3,9,9,18,9,9,9,1,9,9,3,3,9,9,9,
9,9,3,3,3,9,9,4,12,12,12,12,4,4,3,3,3,1,1,3,1,3,9,9,9,9,3,3,9,9,9,9,1,3,3,3,4,
3,3,6,3,3,3,3,3,1,3,3,1,3,3,1,3,3,3,1,1,1],[1,14,10,9,20,6,4,25,18,18,18,1,6,
9,3,21,6,3,4,13,9,12,18,9,24,18,6,6,8,4,8,4,8,4,8,6,9,6,9,6,13,18,24,9,12,2,6,
6,6,1,6,3,3,2,3,6,6,3,12,12,3,3,9,9,3,3,6,3,3,6,6,9,9,18,12,6,6,6,6,12,4,8,8,
4,4,4,4,4,4,8,8,1,3,6,6,3,12,3,9,3,6,6,1,3,9,9,3,3,3,1,3,1,3,6,6,3,3,3,3,3,3,
3,3,3,6,3,3,3,3,3,3,6,6,4,4,4,4,4,4,4,2,2,1,2,1,1,2,3,3,3,3,3,3,3,1,3,3,3,3,3,
3,3,4,1,2,2,1,1,1,1,1,1,2,2,3,1,1,1,1,1,1,1,1],[1,3,6,21,22,3,4,3,12,30,9,1,6,
9,15,15,6,1,15,15,12,12,3,6,12,36,21,30,6,12,8,12,8,4,6,9,1,6,9,3,24,6,9,15,9,
6,24,6,3,6,6,1,3,6,6,6,6,3,3,12,12,3,3,9,3,3,6,6,6,6,15,3,12,24,6,6,6,6,24,6,
12,12,12,4,4,4,12,4,12,4,8,8,1,3,6,6,3,3,3,3,9,3,3,6,12,6,3,3,3,6,12,3,1,3,3,
3,6,3,3,3,3,6,3,6,3,3,3,3,3,3,3,3,3,3,6,12,4,4,4,4,4,4,4,3,3,2,2,1,3,3,3,1,3,
3,3,3,3,3,3,3,3,3,3,4,3,3,2,1,1,1,1,1,2,3,1,1,1,1,1,1,1,1],[1,8,4,27,14,6,4,4,
12,12,48,12,1,9,3,9,6,3,1,7,18,15,6,9,6,6,18,6,12,18,6,4,4,4,8,16,8,3,6,6,3,1,
12,6,6,9,12,2,12,6,12,12,6,6,12,1,3,12,2,3,3,9,12,12,6,3,3,3,3,6,3,3,3,3,6,6,
12,6,3,9,6,12,6,6,6,12,12,4,8,8,4,4,4,4,4,4,8,8,1,3,6,6,3,6,6,1,3,6,3,3,3,3,6,
3,6,6,6,12,6,3,1,3,3,1,6,3,3,3,3,3,3,3,3,6,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,2,
1,1,1,4,2,3,3,3,3,3,3,1,3,3,3,3,3,3,3,3,4,1,2,2,1,2,1,1,1,1,1,2,3,1,1,1,1,1,1,
1,1],[1,3,12,27,16,21,4,3,18,18,27,4,3,27,54,9,9,1,3,18,9,9,48,48,18,6,18,27,
108,54,12,4,4,12,4,12,12,3,9,9,1,3,9,9,6,18,3,27,9,54,9,18,18,18,9,3,9,16,9,9,
3,9,9,27,3,9,9,9,9,9,54,27,18,9,9,18,54,108,3,9,9,18,18,9,9,9,18,18,54,6,4,12,
12,12,12,12,12,1,4,12,12,12,24,9,3,9,3,9,3,9,9,9,9,9,18,18,9,9,9,9,27,9,18,3,
1,9,3,9,9,3,18,9,18,9,9,9,9,9,18,9,9,27,3,9,9,9,9,9,18,18,18,1,4,4,4,3,3,12,
12,12,12,1,1,3,3,3,9,9,1,3,9,9,3,3,9,9,3,3,9,9,3,1,3,1,4,3,3,3,3,3,3,3,6,3,1,
3,3,1,1,3,3,1],[1,3,6,21,22,3,4,3,12,30,9,1,6,9,15,15,6,1,15,15,12,12,3,6,12,
36,21,30,6,12,4,8,8,12,6,9,1,6,9,3,24,6,9,15,9,6,24,6,3,6,6,1,3,6,6,6,6,3,3,
12,12,3,3,9,3,3,6,6,6,6,15,3,12,24,6,6,6,6,24,6,12,12,12,4,4,4,4,4,12,12,1,8,
8,3,6,6,3,3,3,3,9,3,3,6,12,6,3,3,3,6,12,3,1,3,3,3,6,3,3,3,3,6,3,6,3,3,3,3,3,3,
3,3,3,3,6,12,1,4,4,4,3,3,4,4,4,4,2,2,3,3,3,1,3,3,3,3,3,3,3,3,3,3,3,3,2,1,4,1,
1,3,1,1,2,3,1,1,1,1,1,1,1,1],[1,3,6,21,22,3,16,3,12,30,9,1,6,9,15,15,6,1,15,
15,12,12,3,6,12,36,21,30,6,16,16,16,6,9,1,6,9,3,24,6,9,15,9,6,24,6,3,6,6,1,3,
6,6,6,6,3,3,12,12,3,3,9,3,3,6,6,6,6,15,3,12,24,6,6,6,6,24,6,12,12,12,4,4,12,
16,3,6,6,3,3,3,3,9,3,3,6,12,6,3,3,3,6,12,3,1,3,3,3,6,3,3,3,3,6,3,6,3,3,3,3,3,
3,3,3,3,3,6,12,4,4,4,4,4,4,4,12,4,3,3,3,1,3,3,3,3,3,3,3,3,3,3,3,4,1,4,4,3,1,1,
1,1],[1,3,10,9,10,7,4,3,12,6,9,3,6,9,9,3,10,1,4,9,3,12,16,9,6,9,18,6,4,4,4,4,
4,4,4,3,3,3,1,3,3,3,3,6,6,9,3,9,12,6,3,3,3,3,3,3,12,3,3,3,12,3,1,12,9,9,9,3,3,
3,3,9,1,3,3,3,10,3,18,6,4,4,4,4,4,4,4,1,4,4,4,4,3,3,3,3,3,1,3,3,3,3,3,3,3,12,
3,3,3,9,3,3,3,3,3,3,1,3,3,3,6,3,9,3,3,3,3,3,1,3,3,3,9,1,1,1,4,4,4,4,4,4,4,1,1,
1,1,3,3,3,1,3,3,3,3,3,3,3,3,3,3,3,1,1,1,1,1,1,1,1,1,1,1,4,3,1,1,1,1,1,1,1,1],[
1,3,4,27,16,13,4,3,6,18,15,9,3,18,9,7,1,1,6,9,15,4,12,6,6,18,15,36,18,4,4,16,
8,4,8,6,3,6,1,6,3,6,6,3,12,3,9,12,9,6,6,6,3,12,6,6,6,9,3,1,3,3,3,3,3,6,3,12,
12,6,12,6,6,12,1,6,6,6,12,6,1,12,6,6,6,4,4,4,4,4,4,4,1,8,8,8,8,3,6,6,3,3,1,3,
3,3,6,6,3,6,3,6,6,3,3,12,3,1,3,3,3,3,3,6,3,3,3,6,6,3,3,3,1,3,3,3,3,3,3,6,6,1,
1,1,4,4,4,4,4,4,4,2,4,2,3,3,3,3,3,1,3,3,3,3,3,3,3,3,3,1,2,2,1,1,1,1,1,1,2,2,4,
3,1,1,1,1,1,1,1,1],[1,7,12,27,24,9,4,9,30,54,27,2,3,27,36,27,9,3,3,24,27,9,36,
18,6,18,54,27,72,18,4,12,12,4,4,12,12,3,27,9,3,3,27,9,8,54,3,27,27,36,9,54,6,
12,9,3,9,6,9,9,3,9,9,9,9,27,27,9,9,9,36,9,18,9,9,18,36,36,9,9,9,54,18,9,9,9,
18,18,18,18,12,4,12,4,12,12,12,12,12,12,12,24,1,9,3,9,9,9,9,9,27,9,9,9,18,12,
9,27,9,9,9,9,18,1,3,9,3,9,9,3,6,9,18,9,9,9,9,9,18,9,9,9,9,9,9,9,9,9,18,18,18,
4,12,12,4,4,12,12,1,1,3,3,1,3,3,3,9,9,3,3,9,9,1,3,9,9,3,3,9,9,4,1,3,3,3,3,1,3,
3,3,3,3,6,3,3,1,3,1,3,1,3,1],[1,7,10,9,10,3,4,9,16,18,9,1,10,9,3,9,6,3,4,3,9,
12,12,3,6,9,6,6,4,4,4,4,4,4,4,3,9,3,3,3,9,3,1,10,18,9,9,3,12,6,1,3,3,3,1,9,12,
3,3,3,12,3,3,12,3,3,3,9,3,3,3,3,3,3,3,3,6,3,6,6,4,4,4,4,4,4,4,4,4,4,4,1,3,3,3,
9,3,3,3,9,3,3,3,1,3,12,3,9,3,3,3,1,3,1,3,3,3,3,3,3,6,3,3,3,3,3,3,3,3,3,3,3,3,
4,4,4,4,4,4,4,1,1,1,1,1,1,1,3,3,3,3,3,3,3,1,3,3,3,3,3,3,3,4,1,1,1,1,1,1,1,1,1,
1,1,3,1,1,1,1,1,1,1,1],[1,13,6,21,6,9,4,12,18,6,24,21,2,12,9,18,6,12,12,18,18,
6,6,6,9,36,18,6,8,12,4,8,12,12,3,12,12,12,12,12,12,6,6,12,2,12,9,18,6,6,6,12,
6,6,12,12,12,9,3,3,18,6,9,3,12,18,36,12,18,12,6,4,8,8,4,4,12,4,12,4,1,6,12,12,
3,3,6,3,12,12,12,12,6,6,9,3,1,6,6,6,6,3,6,6,6,3,9,3,3,6,4,4,4,4,4,4,4,1,2,3,2,
3,3,6,6,3,3,1,6,3,3,6,3,4,2,3,1,2,1,1,1,3,1,3,1,1,1,1,1,1,1,1],[1,13,4,27,16,
3,4,12,18,4,36,15,1,7,3,9,6,9,1,9,18,15,6,3,6,18,6,15,18,8,4,8,4,16,4,6,3,12,
6,6,12,12,12,6,6,6,1,6,1,6,3,6,3,9,6,1,6,12,1,3,3,12,6,9,3,3,3,6,6,3,3,3,6,6,
6,12,9,6,6,6,3,12,6,12,6,4,8,8,4,4,4,4,4,4,8,8,1,3,6,6,3,3,6,3,3,6,6,12,6,6,1,
6,3,3,3,6,6,3,1,3,1,3,6,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,6,4,4,4,4,4,4,4,1,2,
1,2,4,1,3,3,3,3,3,3,3,1,3,3,3,3,3,3,3,4,2,1,2,1,2,1,1,1,1,1,2,3,1,1,1,1,1,1,1,
1],[1,13,6,21,6,9,16,12,18,6,24,21,2,12,9,18,6,12,12,18,18,6,6,6,9,36,18,6,16,
16,16,12,3,12,12,12,12,12,12,6,6,12,2,12,9,18,6,6,6,12,6,6,12,12,12,9,3,3,18,
6,9,3,12,18,36,12,18,12,6,16,8,12,6,12,12,3,3,6,3,12,12,12,12,6,6,9,3,1,6,6,6,
6,3,6,6,6,3,9,3,3,6,8,12,8,8,4,4,3,6,6,3,3,1,6,3,3,6,3,8,4,1,3,1,1,1,1],[1,1,
6,9,6,9,4,4,16,6,9,4,2,9,18,6,18,18,6,9,36,18,6,6,6,6,12,16,16,16,2,9,18,6,6,
6,6,6,9,18,9,6,6,18,36,18,1,6,3,1,6,3,6,6,6,6,6,6,16,8,12,6,6,9,1,6,3,1,6,9,3,
3,3,3,6,3,6,6,3,8,12,4,4,1,3,3,1,1,3,3,4,1,1,1,1,1,1],[1,1,6,9,6,9,12,12,16,6,
9,12,2,9,18,6,18,18,6,9,36,18,18,18,18,18,36,16,16,16,2,9,18,18,18,6,6,6,9,18,
9,18,18,18,36,18,3,18,9,3,18,9,18,18,18,18,18,18,16,8,12,6,18,9,3,18,9,1,6,9,
9,9,9,9,18,9,18,18,9,8,12,12,12,1,9,9,3,3,9,9,12,1,3,1,1,1,1],[1,18,8,15,18,4,
27,18,30,30,2,15,15,24,9,9,1,1,18,9,3,6,6,6,18,12,20,12,15,9,24,15,15,6,6,18,
6,12,6,18,6,6,8,9,1,3,12,15,15,6,6,9,3,3,9,9,3,3,9,18,3,3,6,12,12,20,4,4,4,12,
4,1,12,15,6,6,3,3,9,3,3,9,6,6,3,9,3,3,1,6,1,9,1,3,3,3,3,3,3,3,3,3,3,9,3,3,3,3,
3,4,4,4,4,4,4,4,3,5,3,3,3,3,3,3,3,3,3,3,3,3,1,3,3,3,4,3,5,1,1,1,3,1,3,1,1,1,1,
1,1,1,1],[1,18,6,21,8,6,4,27,18,18,30,12,1,10,9,15,3,6,1,1,15,12,6,9,12,12,18,
6,6,12,12,4,8,8,9,9,24,9,15,6,18,6,6,12,12,6,6,6,6,12,3,3,6,2,9,12,9,1,9,6,3,
12,3,3,3,3,3,3,6,6,6,6,6,6,3,3,12,6,12,12,12,8,4,4,4,4,4,8,1,9,9,6,3,12,3,3,3,
9,6,6,3,3,3,3,6,6,6,1,3,1,1,3,6,3,3,3,3,3,3,6,3,3,3,6,3,3,3,3,3,3,4,4,4,4,4,4,
4,3,3,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,1,3,3,4,3,3,2,1,1,1,1,1,2,3,1,1,1,1,1,1,1,
1],[1,14,45,4,2,45,42,4,4,72,24,6,24,18,6,20,4,20,14,4,24,9,24,36,24,12,27,18,
3,24,24,24,36,12,12,4,4,4,20,12,12,4,1,1,4,4,24,12,18,6,12,12,3,3,3,6,18,6,18,
3,6,3,6,3,4,4,4,4,4,4,4,5,1,5,4,3,6,6,6,6,3,6,3,4,1,1,1,5,3,3,1,3,1,1,1,1,1,1,
1,1],[1,12,27,14,6,4,1,7,27,9,18,9,4,3,7,54,9,18,9,6,6,18,18,18,6,12,8,4,12,8,
3,6,3,9,2,9,9,7,18,9,3,18,9,9,9,6,27,9,9,3,6,9,9,18,6,6,6,18,6,9,6,9,12,6,12,
12,4,4,4,12,4,12,4,8,8,1,3,1,3,9,1,9,1,6,6,3,3,9,3,9,3,3,9,9,3,3,6,3,3,3,3,3,
3,9,6,9,3,3,3,3,3,6,6,4,4,4,4,4,4,4,3,2,1,3,2,3,3,3,3,1,3,3,3,3,3,3,3,3,3,3,4,
1,1,1,3,1,3,1,2,2,3,1,1,1,1,1,1,1,1],[1,12,6,9,12,4,16,12,6,24,2,12,9,18,6,6,
18,6,6,18,16,16,16,12,3,12,12,6,6,6,6,6,6,9,3,18,6,3,6,9,1,18,3,6,6,6,6,8,16,
12,6,3,6,6,6,6,6,1,6,3,9,3,9,3,6,8,4,4,12,3,3,3,3,1,3,3,1,4,3,1,1,1,1],[1,12,
6,9,4,12,16,12,6,24,2,12,9,18,6,6,6,18,18,6,16,16,16,12,3,12,12,6,6,6,6,6,6,9,
3,6,18,1,18,3,3,6,9,6,6,6,6,8,16,12,6,3,6,6,6,6,6,1,6,3,3,9,3,9,6,8,4,4,12,3,
3,3,1,3,3,3,1,4,3,1,1,1,1],[1,6,21,16,16,2,9,18,12,12,6,6,6,48,24,16,16,16,6,
12,9,3,6,3,24,12,12,4,12,24,6,6,12,12,6,6,8,16,12,1,6,6,3,3,12,12,6,6,12,12,8,
4,4,12,3,4,3,3,6,1,4,3,1,1,1,1],[1,6,21,16,16,2,9,18,12,12,6,6,6,48,24,16,16,
16,6,12,9,3,6,3,24,12,12,24,4,12,6,6,12,6,6,12,8,16,12,1,6,6,3,3,12,12,6,6,12,
12,8,4,12,4,3,4,3,3,6,1,4,3,1,1,1,1],[1,14,45,4,4,45,72,2,4,42,24,18,24,6,6,
20,4,20,24,4,24,27,14,36,24,18,9,12,3,24,24,36,24,12,12,4,20,12,4,4,12,4,1,3,
4,6,24,18,12,6,18,18,3,3,1,4,12,6,12,3,6,3,6,3,4,4,4,5,4,4,4,4,1,5,6,3,4,6,6,
6,3,6,3,1,4,5,3,1,1,3,1,3,1,1,1,1,1,1,1,1],[1,8,15,18,18,4,1,9,15,9,18,15,2,1,
9,24,3,30,27,6,6,18,6,30,18,20,12,12,3,6,1,3,6,9,15,9,18,15,3,8,9,9,3,12,9,15,
3,9,6,3,3,6,18,6,6,18,6,15,6,15,24,6,12,12,4,12,4,4,4,20,12,1,3,1,3,3,3,3,3,6,
6,3,3,9,3,9,3,3,15,9,9,3,6,3,3,3,1,1,3,3,12,3,9,3,3,3,3,6,6,4,4,4,5,4,4,4,4,3,
3,3,3,3,1,3,3,3,3,3,3,3,3,3,3,3,1,4,3,1,1,1,5,3,3,1,1,1,1,1,1,1,1],[1,12,27,6,
14,4,3,3,27,27,6,13,2,3,3,36,9,18,25,6,18,6,6,18,18,12,4,12,8,8,9,6,3,9,6,3,9,
3,6,9,3,12,27,3,9,12,9,9,9,9,6,9,9,18,18,2,6,6,6,13,6,9,24,6,12,12,4,12,4,4,
12,4,4,1,8,8,3,3,3,9,3,9,3,6,6,1,3,3,3,3,3,3,9,3,9,3,6,3,3,3,1,3,1,9,12,9,9,3,
3,3,3,6,6,3,2,4,4,4,4,4,4,4,1,3,2,3,3,3,3,3,3,3,1,3,3,3,3,3,3,3,1,3,1,1,1,3,1,
2,2,4,3,1,1,1,1,1,1,1,1],[1,6,21,24,8,4,12,9,12,24,4,2,12,18,12,24,4,6,24,6,
12,48,12,6,12,8,12,8,4,12,12,12,12,24,12,12,3,6,12,6,9,12,3,12,12,12,12,12,8,
12,24,12,4,12,12,12,12,12,4,4,12,4,4,4,12,1,8,8,3,4,6,12,6,12,6,6,12,12,6,3,
12,12,6,3,3,1,4,6,3,6,3,12,12,3,2,4,4,4,4,4,4,4,3,2,1,6,3,4,6,6,6,6,3,3,1,3,1,
1,1,1,3,2,2,4,3,1,1,1,1,1,1,1,1],[1,6,21,16,16,9,12,2,18,12,6,6,6,48,24,16,16,
16,3,6,6,9,3,24,12,12,12,6,6,12,4,12,24,12,6,6,8,12,16,6,3,6,1,6,3,12,12,6,12,
12,8,4,4,12,3,3,3,4,6,1,4,3,1,1,1,1],[1,6,9,12,4,12,16,9,12,2,18,12,6,6,6,6,
18,18,6,24,16,16,16,3,6,6,9,3,6,18,12,12,12,6,6,6,6,1,3,9,3,6,18,6,6,6,6,8,12,
16,6,3,6,1,6,3,3,9,3,9,6,6,6,6,6,8,4,4,12,3,3,3,1,3,3,3,1,4,3,1,1,1,1],[1,6,
21,16,16,9,12,2,18,12,6,6,6,48,24,16,16,16,3,6,6,9,3,24,12,12,12,12,6,6,4,12,
24,6,6,12,8,12,16,6,3,6,1,6,3,12,12,6,12,12,8,4,4,12,3,3,3,4,6,1,4,3,1,1,1,
1],[1,6,9,12,12,4,16,9,12,2,18,12,6,6,6,18,6,6,18,24,16,16,16,3,6,6,9,3,18,6,
12,12,12,6,6,6,6,3,1,3,9,18,6,6,6,6,6,8,12,16,6,3,6,1,6,3,9,3,9,3,6,6,6,6,6,8,
4,4,12,3,3,3,3,1,3,3,1,4,3,1,1,1,1],[1,10,25,25,50,2,2,2,25,10,2,10,10,10,10,
20,10,10,1,10,2,1,1,1,1,1],[1,10,25,10,25,25,25,2,2,2,25,10,2,10,10,2,10,10,
10,10,10,1,2,1,2,1,1,1,1],[1,10,25,10,25,25,25,2,2,2,25,10,2,10,10,10,2,10,10,
10,10,1,2,1,2,1,1,1,1],[1,25,10,25,25,25,2,2,2,25,10,10,2,10,10,10,10,10,10,
10,1,10,1,2,1,1,1,1],[1,25,10,25,25,25,2,2,2,25,10,10,10,2,10,10,10,10,10,10,
1,10,1,2,1,1,1,1],[1,25,10,10,25,25,25,2,2,2,25,10,10,2,10,10,2,10,10,10,10,1,
1,2,2,1,1,1,1],[1,25,25,25,25,2,2,2,25,10,10,10,10,10,10,1,1,1,1,1,1],[1,9,3,
3,2,6,16,16,9,9,1,3,6,1,9,3,6,12,24,3,8,1,16,8,16,3,3,2,9,9,2,1,4,4,3,3,4,1,8,
12,1,3,3,6,4,3,3,2,1,4,2,4,4,1,1,2,3,1,1],[1,24,12,27,3,4,2,4,54,54,27,14,15,
7,30,27,12,6,12,36,6,18,36,27,2,2,1,4,4,15,30,54,27,27,36,18,8,8,4,2,8,6,6,3,
6,2,6,1,3,12,12,12,27,1,6,8,12,6,4,6,12,6,6,3,6,2,2,1,1,1,3,6,2,1,2,1,1,1],[1,
6,9,6,3,4,2,4,9,9,9,2,9,6,12,6,12,6,12,6,2,9,2,2,1,4,4,6,9,9,9,6,2,2,4,6,6,6,
6,2,1,2,4,9,1,6,1,6,1,1,2,1,2,1,1,1,1,1],[1,6,9,18,3,4,2,4,9,27,27,2,9,6,6,12,
12,18,6,6,12,27,2,2,1,4,4,6,9,9,9,18,2,2,4,6,6,6,6,2,1,6,12,9,1,6,1,6,3,3,2,1,
2,3,1,1,1,1],[1,3,3,9,6,16,2,16,9,1,9,1,6,3,15,9,24,6,3,8,8,1,16,16,3,2,3,9,9,
1,4,2,4,4,1,8,12,3,3,1,3,3,6,4,3,2,1,4,3,2,4,4,1,1,2,3,1,1],[1,18,9,18,3,4,2,
4,27,9,27,12,9,6,6,18,12,18,6,6,12,27,2,2,1,4,4,9,18,9,9,18,6,6,2,6,6,6,2,1,6,
12,12,9,1,6,3,6,1,3,2,1,2,3,1,1,1,1],[1,18,9,6,3,4,2,4,27,9,27,12,9,6,18,6,12,
6,12,6,2,27,2,2,1,4,4,9,18,9,9,6,6,6,2,6,6,6,2,1,2,12,4,9,1,6,3,6,1,3,2,1,2,3,
1,1,1,1],[1,12,27,12,12,2,3,4,4,27,54,27,27,6,6,18,15,7,27,15,7,15,7,36,36,6,
6,6,6,27,1,2,4,2,1,2,1,18,27,27,15,15,15,27,27,18,18,6,1,3,3,4,4,2,6,12,4,4,6,
2,6,3,3,4,1,6,6,2,3,4,3,1,27,1,6,3,4,6,3,3,3,6,4,6,3,4,6,3,3,6,3,3,1,1,1,1,1,
1,1,3,3,3,1,1,1,1,1,1,1,1],[1,12,27,3,4,2,4,27,9,27,15,7,27,6,36,6,18,36,27,2,
2,1,4,4,9,27,9,18,8,6,3,6,2,6,1,3,12,12,9,1,6,3,6,1,3,1,1,1,3,1,1,1,1],[1,12,
27,24,3,4,2,4,27,18,36,54,15,6,7,27,6,6,36,24,12,6,18,8,12,36,27,2,2,1,4,4,9,
27,9,6,18,18,18,6,24,36,36,8,6,3,6,6,2,2,6,6,2,1,3,8,12,12,12,4,9,18,1,6,3,6,
6,6,6,6,6,2,6,4,6,12,1,1,2,1,2,3,6,1,2,1,1,2,1],[1,18,3,6,16,2,16,9,1,9,18,6,
18,6,24,9,8,8,1,16,16,3,2,3,9,9,1,4,2,4,12,6,4,3,24,3,9,3,6,4,3,2,1,4,3,2,4,4,
3,1,3,6,1,1],[1,9,6,16,2,16,1,3,3,18,4,18,3,8,8,1,16,16,2,6,6,1,4,2,4,6,6,8,9,
8,6,1,6,4,2,1,4,3,3,2,4,4,2,3,2,1,1],[1,12,27,6,16,2,16,1,27,27,42,6,18,6,6,
18,9,8,8,1,16,16,2,18,18,1,4,2,4,18,18,24,3,24,1,3,6,9,6,4,2,1,4,3,3,2,4,4,6,
1,6,1,1],[1,3,54,6,16,2,16,1,27,27,6,72,6,144,36,144,27,8,8,1,16,16,2,18,18,1,
4,2,4,18,18,24,3,24,6,48,48,18,9,36,18,36,4,2,1,4,3,3,2,4,4,6,3,12,6,12,1,1],[
1,3,18,6,16,2,16,1,9,9,6,12,6,18,6,24,9,8,8,1,16,16,2,1,4,2,4,9,9,3,3,3,12,4,
6,24,3,9,3,6,4,2,1,4,3,3,2,4,4,3,3,1,6,1,1],[1,3,3,9,6,16,2,16,1,9,9,6,12,6,3,
24,1,9,3,3,8,8,1,16,16,2,1,4,2,4,9,9,3,3,3,12,4,1,3,8,3,3,1,6,4,2,1,4,3,3,2,4,
4,1,3,1,2,1,1],[1,9,2,6,16,16,3,1,3,18,18,4,3,8,1,16,8,16,6,2,6,6,2,6,1,4,4,9,
8,8,6,6,1,4,3,2,1,4,3,2,4,4,3,2,2,1,1],[1,3,18,2,6,16,16,9,1,9,6,6,18,6,12,24,
9,8,1,16,8,16,3,2,3,9,9,2,1,4,4,3,6,4,12,24,3,9,3,6,4,3,2,1,4,3,2,4,4,3,1,3,6,
1,1],[1,12,27,2,6,16,16,27,1,27,6,6,18,42,6,18,9,8,1,16,8,16,2,18,18,18,2,18,
1,4,4,3,24,1,3,24,6,9,6,4,2,1,4,3,3,2,4,4,6,1,6,1,1],[1,3,54,2,6,16,16,27,1,
27,6,36,6,72,144,144,27,8,1,16,8,16,2,18,18,18,2,18,1,4,4,3,24,6,48,24,48,18,
18,9,36,36,4,2,1,4,3,3,2,4,4,6,3,12,6,12,1,1],[1,3,9,3,2,6,16,16,9,1,9,6,6,9,
3,15,1,24,3,8,1,16,8,16,2,9,3,2,9,3,1,4,4,3,3,1,12,4,8,3,3,6,1,4,2,1,4,3,3,2,
4,4,1,3,1,2,1,1],[1,3,18,2,6,16,16,9,1,9,6,6,18,18,24,9,8,1,16,8,16,2,9,3,2,9,
3,1,4,4,3,6,12,4,24,9,3,3,6,4,2,1,4,3,3,2,4,4,3,3,1,6,1,1],[1,12,27,24,2,3,4,
4,27,36,18,54,6,8,6,18,24,15,6,12,7,27,6,12,36,36,27,2,1,4,2,4,6,18,18,24,36,
9,27,9,6,18,36,3,2,8,4,2,2,6,6,6,6,1,3,12,12,8,6,12,18,9,1,6,3,2,6,6,4,6,12,6,
6,6,6,6,2,1,2,1,1,3,6,2,1,2,1,1,1],[1,9,6,6,2,3,4,4,9,9,9,2,6,6,9,6,12,6,12,2,
12,9,2,1,4,2,4,6,9,9,9,6,2,2,4,6,6,1,2,6,6,2,4,9,1,6,1,1,1,6,2,1,2,1,1,1,1,
1],[1,9,6,18,2,3,4,4,9,27,27,2,6,6,9,6,12,6,18,12,12,27,2,1,4,2,4,6,9,9,9,18,
2,2,4,6,6,1,6,6,6,2,12,9,1,6,1,3,3,6,2,1,2,3,1,1,1,1],[1,12,27,2,3,4,4,27,9,
27,6,6,18,15,7,27,36,36,27,2,1,4,2,4,18,27,9,9,3,2,6,6,1,3,12,8,6,12,9,1,3,6,
1,3,6,1,1,1,3,1,1,1,1],[1,12,27,24,2,3,4,4,27,54,54,6,6,18,15,7,27,30,14,36,
12,36,12,27,2,1,4,2,4,18,27,27,15,30,54,36,3,2,6,6,1,3,8,12,8,6,8,4,6,2,12,12,
27,1,3,6,6,4,6,12,6,8,6,6,12,1,1,1,2,2,3,6,1,2,1,1,2,1],[1,9,18,18,2,3,4,4,27,
9,27,6,6,18,9,6,6,18,12,12,12,27,2,1,4,2,4,18,9,9,9,18,6,2,6,6,1,6,12,6,6,2,
12,9,1,3,6,1,3,6,2,1,2,3,1,1,1,1],[1,9,18,6,2,3,4,4,27,27,9,6,6,18,9,6,6,12,2,
12,12,27,2,1,4,2,4,18,9,9,9,6,6,2,6,6,1,2,12,6,6,2,4,9,1,3,6,3,1,6,2,1,2,3,1,
1,1,1],[1,27,12,12,12,4,2,4,3,27,27,27,54,36,6,6,6,6,18,6,6,36,15,27,15,7,7,
15,7,27,4,2,1,2,1,1,2,18,18,18,27,27,15,27,27,15,15,12,6,6,2,3,3,1,4,4,6,2,6,
3,3,1,4,4,3,6,3,4,4,1,6,2,27,1,6,3,3,3,6,4,6,3,6,3,3,4,3,6,6,3,3,4,1,1,1,1,1,
1,1,3,3,3,1,1,1,1,1,1,1,1],[1,15,10,10,16,10,15,5,15,15,30,15,40,6,10,10,10,
10,10,10,10,15,15,15,5,15,15,15,6,6,6,5,10,10,10,10,10,10,10,15,6,6,6,5,5,5,
10,6,5,1,1,1,1,1],[1,15,10,16,10,10,15,5,15,30,15,15,40,6,10,10,10,10,10,10,
10,15,15,15,5,15,15,15,6,6,6,5,10,10,10,10,10,10,10,15,6,6,6,5,5,5,10,6,5,1,1,
1,1,1],[1,18,45,10,1,45,45,5,45,30,6,30,10,30,15,15,45,18,6,18,10,30,30,5,5,6,
18,18,10,15,6,5,1,3,1],[1,16,15,20,10,30,15,10,5,30,15,30,6,10,20,10,10,20,15,
30,30,5,15,6,6,6,10,10,10,5,20,20,15,6,12,5,10,10,6,5,1,1,2,1],[1,16,15,10,15,
10,5,15,30,6,10,10,10,15,5,15,6,6,6,10,10,10,5,15,6,12,5,10,6,5,1,1,1],[1,18,
45,10,45,6,90,30,6,30,10,30,30,45,18,6,18,30,10,30,5,5,18,6,18,15,10,6,5,1,3,
1],[1,16,15,10,15,5,1,15,15,6,10,10,10,5,15,15,6,6,6,10,10,10,5,5,6,6,6,5,10,
6,5,1,1,1],[1,16,15,10,10,10,15,15,15,5,15,15,10,15,30,6,10,10,10,10,10,10,10,
15,15,15,5,15,15,15,6,6,6,10,10,10,5,10,10,10,10,15,6,6,6,5,10,5,5,6,5,1,1,1,
1,1],[1,16,15,20,10,15,30,5,15,40,30,6,10,10,10,20,20,5,15,15,30,30,6,6,6,10,
10,10,5,20,20,15,6,12,5,10,10,6,5,1,1,2,1],[1,20,16,15,10,40,30,5,30,15,15,6,
20,10,10,20,10,30,15,30,5,15,6,6,6,10,20,20,10,10,5,15,6,12,10,10,5,6,5,1,2,1,
1],[1,10,16,15,10,10,15,10,30,5,15,15,15,15,15,6,10,10,10,10,10,10,10,15,15,
15,5,15,15,15,6,6,6,10,10,10,10,10,10,10,5,15,6,6,6,10,5,5,5,6,5,1,1,1,1,1],[
1,18,45,10,6,45,90,30,6,30,10,30,30,45,18,6,18,10,30,30,5,5,6,18,18,10,15,6,5,
1,3,1],[1,16,15,10,5,10,15,15,30,6,10,10,10,5,15,15,6,6,6,10,10,10,5,15,6,12,
10,5,6,5,1,1,1],[1,18,45,10,5,45,45,1,45,30,6,30,10,30,15,15,45,18,6,18,10,30,
30,5,5,18,6,18,10,15,6,5,1,3,1],[1,16,15,10,5,15,15,1,15,6,10,10,10,5,15,15,6,
6,6,10,10,10,5,5,6,6,6,10,5,6,5,1,1,1],[1,16,15,20,10,5,15,15,30,30,10,30,6,
10,20,10,10,20,5,30,15,15,30,6,6,6,10,10,10,20,20,5,15,6,12,10,5,10,6,5,1,1,2,
1],[1,10,15,16,10,10,15,40,5,15,30,15,15,6,10,10,10,10,10,10,10,15,15,15,5,15,
15,15,6,6,6,10,10,10,10,10,10,10,5,15,6,6,6,10,5,5,5,6,5,1,1,1,1,1],[1,10,15,
10,16,10,15,40,5,15,15,30,15,6,10,10,10,10,10,10,10,15,15,15,5,15,15,15,6,6,6,
10,10,10,10,10,10,10,5,15,6,6,6,10,5,5,5,6,5,1,1,1,1,1],[1,8,15,4,1,30,15,15,
30,1,20,5,15,15,3,1,3,20,1,4,15,1,3,3,6,6,5,4,1,3,3,5,4,1,3,1,1],[1,14,45,4,1,
45,15,3,3,45,15,1,20,4,20,5,3,15,15,15,15,15,9,1,9,20,1,4,15,1,9,3,3,3,9,3,5,
1,5,4,4,4,1,3,3,3,3,3,3,5,4,1,3,1,1,1,1],[1,8,15,4,1,5,15,15,15,1,20,5,15,15,
3,1,3,20,1,4,5,1,3,3,1,3,5,4,1,3,3,5,4,1,1,1,1],[1,8,15,4,15,15,5,1,15,1,20,
15,15,5,3,1,3,20,1,4,5,3,1,3,3,1,5,4,3,1,3,5,1,4,1,1,1],[1,14,45,4,3,45,45,1,
3,15,15,1,20,4,20,15,3,15,5,15,15,15,9,1,9,20,1,4,15,3,9,9,1,3,3,3,5,1,5,4,4,
4,3,3,3,1,3,3,3,5,1,4,3,1,1,1,1],[1,8,15,4,15,30,1,15,30,1,20,15,5,15,3,1,3,
20,1,4,15,3,1,3,6,6,5,4,3,1,3,5,1,4,3,1,1],[1,9,10,25,18,9,8,8,18,18,30,60,25,
24,2,6,25,30,18,6,2,2,18,30,10,30,18,6,2,12,36,6,25,60,18,2,20,20,20,20,24,6,
9,12,30,10,6,6,36,12,30,10,4,6,18,4,12,12,12,12,6,36,6,12,25,30,30,10,36,20,
20,6,2,10,6,2,10,6,6,10,10,6,12,10,10,9,1,10,18,18,10,6,6,9,30,6,9,1,20,20,12,
10,10,12,12,30,36,6,6,10,36,12,6,6,10,12,12,4,18,2,12,6,2,12,6,8,4,2,4,4,4,4,
12,4,4,2,2,6,6,12,12,20,20,12,12,12,12,4,2,2,2,4,2,4,4,6,10,6,12,10,1,6,6,6,2,
9,6,1,12,6,12,12,12,12,6,6,6,2,10,10,9,6,18,6,6,2,10,10,12,12,4,4,4,4,4,4,2,6,
12,12,6,6,12,4,4,4,4,10,10,18,12,10,10,6,20,9,1,6,12,4,2,2,12,4,6,2,4,1,2,2,6,
2,10,6,2,6,6,2,6,12,1,2,2,2,6,2,2,6,2,2,6,2,10,6,6,6,1,2,10,12,6,6,1,9,1,6,6,
6,6,2,2,1,2,4,1,2,6,6,2,6,6,1,2,6,6,1,6,2,1,2,6,1,1,6,6,6,6,12,2,2,2,2,12,12,
12,4,4,4,4,6,12,12,6,4,4,4,4,4,2,4,2,4,4,4,4,4,4,4,4,4,1,2,2,6,2,6,2,2,2,10,6,
6,2,2,2,1,1,2,2,1,2,6,2,6,1,2,1,2,1,6,6,2,2,2,2,6,6,2,2,2,2,2,6,6,1,2,2,2,2,2,
2,1,2,6,6,4,4,4,4,1,2,6,2,6,1,2,1,2,1,6,2,6,2,4,4,2,1,2,2,2,2,2,2,2,2,6,2,2,2,
2,1,2,2,2,2,2,2,2,2,2,6,1,2,2,2,2,1,2,1,1,1,1,1,1,1,1,1,6,6,2,2,1,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,4,4,2,1,2,2,2,2,2,2,1,2,2,1,2,1,1,1,1,1,2,2,2,2,2,2,2,1,1,1,
1,1,2,2,2,2,2,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1],[1,18,14,45,18,2,2,45,54,30,90,1,6,45,27,27,1,1,18,27,9,54,6,
10,6,6,18,30,18,10,6,30,6,27,18,45,6,6,54,18,6,54,6,18,9,1,9,9,6,18,9,27,9,9,
9,1,6,10,18,36,30,2,2,2,6,2,30,18,18,6,30,18,18,6,18,30,36,2,30,18,2,2,18,6,9,
6,18,9,9,18,18,9,9,9,9,6,5,6,1,5,2,2,2,18,6,18,6,2,2,30,18,18,6,2,6,6,6,6,2,6,
6,6,6,6,6,6,6,18,6,18,6,6,6,6,6,6,2,6,6,6,6,6,9,6,10,3,6,10,1,2,1,6,1,5,3,3,1,
3,6,2,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,2,2,2,3,2,6,2,2,2,5,6,2,1,1,1,2,1,2,1,1,3,
1,1,6,2,1,2,1,2,1,2,1,1,1,1,1],[1,12,12,27,12,2,2,24,18,1,6,27,27,6,6,9,18,27,
18,4,6,6,12,18,6,12,6,18,4,6,9,18,18,18,9,6,9,9,27,27,9,18,1,2,12,12,2,2,18,6,
18,6,2,6,6,18,18,2,2,12,12,9,9,9,9,9,9,9,4,3,1,3,4,2,6,6,6,6,6,6,6,6,2,6,6,6,
6,9,2,2,2,1,2,3,3,2,2,1,2,3,2,6,6,2,1,2,2,2,1,2,1,3,1,3,1,2,1,1,1,1,1,1,1,1],[
1,12,12,27,6,18,2,2,24,18,1,6,27,27,9,18,18,45,54,54,18,4,6,6,12,18,6,6,6,18,
2,18,6,6,9,18,18,18,36,9,6,9,27,9,27,9,54,1,2,12,12,2,2,18,6,18,6,2,18,18,18,
18,6,6,6,18,18,18,36,9,9,9,9,9,9,9,4,3,1,3,2,6,2,6,6,6,6,6,6,6,6,2,18,18,18,
18,9,2,2,2,1,2,3,3,6,6,1,2,3,6,6,2,6,6,2,1,2,2,2,4,1,2,1,3,1,3,1,6,1,1,1,1,1,
1,1,1],[1,12,12,27,28,1,4,8,21,18,36,54,3,12,27,27,21,1,3,36,9,9,54,3,9,7,1,3,
9,7,12,16,8,4,12,16,24,24,12,9,18,27,4,12,18,18,12,54,12,18,9,3,9,9,12,18,3,
27,9,9,9,4,3,9,3,6,9,3,3,1,9,3,9,3,9,3,9,3,9,3,7,9,18,12,12,12,1,2,16,24,24,9,
12,18,3,9,18,18,9,9,9,9,4,4,4,4,4,4,4,3,1,3,3,3,3,3,3,3,9,3,9,3,3,3,3,3,3,3,3,
3,3,3,1,1,3,3,9,3,9,3,3,3,3,3,4,2,3,12,1,4,3,6,6,9,1,4,4,4,4,4,4,4,3,3,3,1,3,
3,3,3,3,3,3,3,3,3,3,3,4,6,6,3,3,1,1,1,1,1,1,1,4,3,3,1,1,1,1,1,1,1,1],[1,18,12,
27,24,6,2,2,45,54,18,54,27,27,1,9,27,27,27,18,9,54,54,6,6,2,6,18,18,6,6,18,6,
18,6,6,2,27,27,6,27,54,54,27,9,27,27,27,27,6,9,27,54,1,6,6,18,36,18,2,18,18,
18,18,6,18,18,18,6,2,18,18,6,18,36,18,6,18,9,27,27,27,27,9,9,6,3,2,1,3,6,2,2,
18,18,18,18,6,6,18,6,18,6,18,2,18,9,6,6,3,6,6,1,3,3,6,6,1,1,3,3,1,6,6,6,6,2,3,
6,3,3,6,3,1,2,3,3,3,3,6,1,3,1,3,3,3,3,1,1,1],[1,18,12,27,6,12,2,2,45,54,18,54,
27,9,6,1,27,18,24,18,18,6,6,2,6,18,18,6,6,6,18,12,4,27,27,6,54,18,36,9,9,9,9,
9,18,6,18,1,6,6,18,36,18,2,18,18,18,18,6,18,6,18,2,2,18,6,2,12,12,9,9,9,9,9,9,
9,6,3,2,1,3,4,2,18,18,18,18,6,6,6,6,6,6,6,2,6,9,6,6,3,6,6,1,3,3,2,2,1,2,2,2,2,
6,6,2,3,6,3,2,4,1,2,1,1,1,1,2,2,1,1,1,1,1,1,1,1],[1,12,10,9,24,12,2,2,24,18,9,
24,10,24,18,24,36,18,18,4,2,4,6,12,6,12,2,12,6,6,4,12,4,9,24,36,36,18,18,9,9,
24,36,36,1,2,12,12,2,2,6,6,6,6,12,12,6,6,2,2,6,6,2,12,12,12,12,18,9,18,9,9,4,
1,4,1,1,4,4,2,6,6,6,6,6,6,6,6,6,6,6,2,6,9,2,2,2,2,1,1,1,2,2,2,2,1,2,1,2,2,2,2,
6,6,2,1,2,2,2,4,1,1,2,1,1,1,1,2,2,2,4,1,1,1,1,1,1,1,1],[1,12,10,9,18,6,2,2,24,
18,9,18,6,1,15,45,6,9,18,18,4,2,4,6,12,6,12,2,6,6,6,2,6,2,9,6,36,18,9,9,9,9,9,
9,18,18,6,18,1,2,12,12,2,2,6,6,6,6,12,12,6,6,2,2,6,6,2,6,6,6,6,9,9,9,9,9,9,9,
4,1,4,1,1,2,2,2,6,6,6,6,6,6,6,6,6,6,6,2,6,9,2,2,2,2,1,1,1,2,2,2,2,1,4,1,2,6,6,
2,1,2,2,2,1,1,2,1,1,1,1,2,2,2,1,1,1,1,1,1,1,1],[1,28,12,27,12,5,8,57,54,36,54,
1,12,27,9,9,3,3,12,27,9,18,23,21,3,5,23,21,3,8,24,24,12,27,18,27,12,12,54,18,
4,18,12,18,3,3,9,9,12,18,9,9,9,9,9,4,21,9,23,42,9,1,3,3,3,3,21,21,3,3,9,9,3,3,
3,9,6,24,1,2,9,12,18,9,9,18,18,3,9,9,9,8,4,8,4,4,3,3,3,21,3,9,3,1,3,9,9,3,3,3,
1,3,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,2,4,3,1,3,6,6,9,8,8,4,4,4,1,3,3,3,
3,3,3,3,1,3,3,3,3,3,3,3,3,4,6,6,3,3,4,1,1,1,1,1,1,1,3,3,1,1,1,1,1,1,1,1],[1,6,
12,27,24,18,2,2,9,18,54,1,27,27,27,9,27,27,18,45,54,54,54,2,6,6,6,6,18,18,6,6,
6,18,2,18,6,27,9,27,6,54,9,6,27,27,27,27,27,54,27,27,54,1,6,6,18,2,6,18,18,18,
18,18,18,36,2,18,18,18,18,6,6,6,18,18,18,36,9,27,27,9,9,27,27,2,3,6,1,3,2,6,2,
18,18,6,6,18,18,6,6,2,18,18,18,18,9,6,1,6,1,6,3,3,6,6,3,6,1,1,3,3,6,6,6,6,2,3,
6,1,3,1,2,3,3,3,3,3,6,3,3,6,1,3,3,1,1,3,3,1],[1,6,12,27,30,2,2,9,18,54,1,27,
27,33,6,36,18,72,18,2,6,6,6,6,18,18,6,12,6,18,4,27,18,6,54,9,6,36,9,9,9,18,18,
36,1,6,6,18,2,6,18,18,18,18,18,18,36,2,6,6,18,18,2,2,12,12,9,9,9,9,9,9,9,2,3,
6,1,3,4,2,18,18,6,6,18,18,6,6,2,6,6,6,6,9,6,1,6,1,6,3,3,2,2,3,6,2,2,2,2,6,6,2,
3,6,2,1,2,3,1,1,1,1,2,2,4,1,1,1,1,1,1,1,1],[1,6,10,9,12,6,2,2,9,6,18,6,9,9,6,
10,9,18,6,9,18,18,2,2,2,6,6,6,6,2,6,6,6,2,6,2,9,9,9,6,18,9,18,9,9,9,9,9,6,18,
1,2,6,6,2,2,6,6,6,6,6,6,6,6,2,2,6,6,2,6,6,6,6,9,9,9,9,9,9,9,2,1,2,1,1,2,2,2,6,
6,6,6,6,6,6,6,6,6,6,2,6,9,2,1,2,2,1,1,1,2,2,1,1,1,1,1,2,2,6,6,2,1,2,1,1,1,1,2,
1,1,1,1,2,1,1,1,1,1,1,1,1,1,1],[1,6,10,9,18,12,2,2,9,6,18,6,9,15,1,18,45,24,
18,18,2,2,2,6,6,6,6,2,12,6,6,4,12,4,9,18,18,6,18,9,9,9,9,9,9,6,18,36,1,2,6,6,
2,2,6,6,6,6,6,6,6,6,2,2,6,6,2,12,12,12,12,9,9,9,9,9,9,9,2,1,2,1,1,4,4,2,6,6,6,
6,6,6,6,6,6,6,6,2,6,9,2,1,2,2,1,1,1,2,2,1,2,4,2,2,2,6,6,2,1,2,2,2,1,1,2,1,1,1,
1,2,2,2,1,1,1,1,1,1,1,1],[1,14,45,2,2,1,45,27,1,10,27,54,18,10,6,30,10,6,30,9,
1,9,9,54,27,27,9,9,9,1,2,2,2,30,18,18,6,2,30,18,2,2,18,6,9,9,9,9,9,9,9,5,1,5,
2,6,6,6,6,6,6,6,2,6,6,6,6,6,9,1,1,1,5,3,3,1,1,5,2,6,6,1,1,1,1,1,1,1,5,3,3,1,1,
1,1,1,1,1,1,1],[1,14,45,18,18,2,2,1,45,27,18,6,1,1,27,27,9,30,45,54,90,54,10,
6,30,10,18,6,30,6,18,6,9,6,1,9,6,9,27,9,9,45,27,18,9,9,54,6,6,54,18,6,6,18,18,
1,2,2,2,30,18,18,6,2,18,6,30,18,6,2,2,2,18,6,30,18,10,6,18,36,30,18,30,36,9,9,
9,6,18,9,9,9,9,18,18,5,1,5,6,6,2,6,6,6,6,6,6,6,6,2,2,6,6,2,18,6,6,6,18,6,6,6,
6,6,6,6,6,6,30,18,6,6,18,18,2,2,18,6,2,2,6,6,9,1,1,1,5,3,3,1,6,2,10,6,3,3,6,
10,6,6,6,6,6,6,6,2,6,6,6,6,6,6,6,6,6,1,1,1,2,2,1,1,2,2,1,1,2,2,3,1,5,3,2,6,6,
2,2,2,6,1,2,1,1,2,1,1,2,1,1,2,1],[1,12,27,12,12,2,2,6,27,18,6,1,9,6,27,27,24,
18,18,6,4,6,18,12,6,6,18,12,4,9,6,18,9,9,27,9,27,9,18,18,6,18,1,2,2,2,18,6,18,
6,12,12,6,18,2,2,18,6,2,12,12,9,9,9,9,9,9,9,3,4,1,3,4,2,6,6,6,6,6,6,6,6,6,6,6,
2,6,9,2,1,2,3,3,2,2,2,2,1,3,2,2,6,6,2,1,2,1,2,1,3,1,3,1,2,2,2,1,1,1,1,1,1,1,
1],[1,12,27,30,6,2,2,6,27,36,1,33,27,18,18,9,72,54,18,6,4,6,18,12,6,18,6,18,6,
6,2,9,6,18,9,36,9,27,9,6,18,54,18,36,1,2,2,2,18,6,18,6,12,12,18,18,6,2,18,18,
6,18,36,18,6,18,9,9,9,9,9,9,9,3,4,1,3,6,2,2,6,6,6,6,6,6,18,6,18,6,18,2,18,9,2,
1,2,3,3,6,6,2,2,3,2,1,6,6,2,6,6,2,1,2,1,2,1,3,1,3,1,6,2,2,4,1,1,1,1,1,1,1,1],[
1,9,6,9,6,1,8,32,18,18,18,36,9,9,6,2,18,6,6,9,24,24,8,32,9,18,6,36,18,6,18,9,
18,6,9,2,16,24,8,24,2,16,24,6,9,6,9,1,16,6,24,6,8,2,16,1,8,6,6,2,2,8,2,2,1,
1],[1,3,6,9,10,3,4,4,32,3,12,18,9,1,9,9,9,1,9,9,12,3,6,18,9,18,12,12,4,12,4,
32,12,9,1,9,3,18,9,9,9,18,3,1,3,9,9,9,9,3,18,6,16,4,12,12,1,4,8,12,12,1,8,24,
3,3,9,3,9,1,3,16,4,1,8,3,3,1,4,8,3,3,24,1,4,4,3,3,3,1,1,2,3,4,4,1,1,2,1,1],[1,
1,6,9,6,9,8,32,6,9,2,9,18,6,18,18,6,9,36,18,24,8,24,32,2,9,18,6,6,6,9,18,9,18,
36,18,16,8,24,24,2,16,24,6,9,1,6,9,16,8,2,16,24,6,6,1,8,6,2,6,2,8,2,2,1,1],[1,
18,6,9,6,4,4,32,27,18,18,18,1,9,9,9,3,3,1,9,6,12,12,4,12,24,9,9,18,9,9,6,18,3,
3,9,9,9,3,9,16,12,12,4,1,4,8,12,12,1,8,24,9,9,3,9,9,1,3,16,4,6,3,3,1,12,3,3,4,
4,3,3,3,1,1,2,3,4,4,3,1,1,1],[1,6,6,9,18,8,32,3,18,18,2,3,9,18,9,9,18,6,18,4,
24,12,24,3,9,9,6,18,6,9,9,9,9,9,9,18,16,12,8,12,12,12,2,16,24,9,3,9,1,9,3,9,
16,4,12,6,1,6,3,3,8,3,3,2,3,3,2,4,4,3,1,1,1],[1,36,6,9,8,32,36,18,2,36,9,18,6,
18,48,24,96,36,9,36,36,6,18,9,9,16,24,8,24,2,16,24,18,9,1,18,9,16,24,12,6,48,
24,9,8,6,2,6,2,8,6,6,1,1],[1,12,27,8,32,2,27,36,3,3,27,9,6,18,48,4,12,12,3,9,
9,9,27,9,9,9,9,18,16,8,12,12,12,12,2,16,24,1,3,3,9,9,9,9,16,12,4,12,1,3,3,8,2,
3,3,3,3,2,4,4,3,1,1,1],[1,6,45,8,32,2,9,18,36,36,6,18,18,24,48,96,6,36,9,9,18,
9,36,36,16,8,24,24,2,16,24,1,18,18,9,9,16,24,6,12,48,24,9,8,2,6,6,2,8,6,6,1,
1],[1,6,9,12,8,32,2,9,18,6,18,18,24,16,48,6,9,18,3,9,18,16,8,2,16,24,1,9,9,16,
6,12,12,3,8,2,2,1,3,1,1],[1,6,9,12,8,32,2,9,18,6,18,18,24,48,16,6,9,18,18,3,9,
16,8,2,16,24,1,9,9,16,6,12,12,3,8,2,2,3,1,1,1],[1,12,27,4,4,32,4,27,54,1,3,9,
9,18,6,36,12,4,12,18,3,9,27,3,9,9,9,9,9,18,16,12,4,12,1,4,8,12,12,1,8,24,3,1,
3,9,9,9,9,16,12,9,4,3,1,3,3,4,4,3,1,3,1,2,3,3,4,4,3,1,1,1],[1,6,9,36,4,4,32,1,
18,9,9,18,18,1,18,9,18,6,18,12,24,12,24,96,3,18,9,18,18,9,3,9,9,9,18,36,16,12,
4,12,1,4,8,12,12,1,8,24,9,1,9,9,9,9,9,16,12,3,6,12,24,3,6,24,24,9,4,4,3,1,3,1,
2,3,3,4,4,3,3,6,1,1],[1,12,27,4,4,32,1,27,9,4,3,54,9,6,18,12,4,12,36,3,3,9,18,
9,9,27,9,9,9,18,16,4,12,12,1,4,8,12,12,1,8,24,1,9,9,3,3,9,9,16,4,3,1,3,12,9,3,
4,4,1,3,3,1,2,3,3,4,4,1,3,1,1],[1,6,45,4,4,32,1,9,27,1,27,36,24,18,12,24,12,
24,96,3,18,3,18,9,9,9,18,18,18,36,16,4,12,12,1,4,8,12,12,1,8,24,1,9,9,9,9,9,9,
16,12,3,6,12,24,3,6,24,24,9,4,4,1,3,3,1,2,3,3,4,4,3,3,6,1,1],[1,6,9,6,18,4,4,
32,1,3,9,9,9,1,3,9,18,27,6,18,18,12,24,12,4,12,3,6,9,3,9,3,9,9,9,9,18,9,9,18,
16,4,12,12,1,4,8,12,12,1,8,24,1,3,3,9,9,9,9,16,12,3,6,4,3,1,3,3,4,4,1,3,3,1,2,
3,3,4,4,3,1,1,1],[1,12,27,28,12,4,1,8,1,27,9,36,12,3,3,21,27,9,36,21,54,54,18,
12,16,4,12,16,9,7,8,1,9,7,3,3,24,24,3,12,3,9,4,9,27,9,9,27,9,18,9,9,18,12,12,
54,18,12,12,18,18,4,12,12,12,16,24,1,1,2,9,3,9,3,9,3,3,3,9,3,9,3,9,3,7,18,9,
24,3,9,6,9,9,3,12,18,9,9,9,9,18,18,4,4,4,4,4,4,4,12,3,4,1,3,4,3,1,3,3,3,1,1,6,
6,2,9,3,3,3,9,3,3,3,3,3,3,3,3,3,9,3,3,3,3,3,3,3,9,3,3,3,3,3,9,4,4,4,4,4,4,4,1,
3,3,3,4,6,3,3,3,3,1,3,3,6,3,3,3,3,3,3,3,3,4,1,1,1,1,1,1,1,3,3,1,1,1,1,1,1,1,
1],[1,12,27,8,32,3,27,27,2,3,36,9,18,6,48,4,12,9,3,9,12,27,9,9,9,9,9,18,16,12,
12,8,12,12,2,16,24,3,9,9,1,3,9,9,16,12,12,4,1,3,3,8,3,3,2,3,3,2,4,4,3,1,1,1],[
1,6,9,18,6,8,32,9,9,18,3,2,9,18,18,3,18,6,18,24,12,24,4,9,9,9,18,9,6,9,9,9,6,
18,3,9,16,12,12,8,12,12,2,16,24,3,9,9,9,9,1,3,16,6,6,12,4,3,1,3,8,3,3,2,3,3,2,
4,4,3,1,1,1],[1,6,45,8,32,9,36,2,18,36,18,6,18,24,48,96,9,6,18,9,9,36,36,36,
16,24,8,24,2,16,24,18,9,1,18,9,16,6,24,12,48,24,9,8,6,2,6,2,8,6,6,1,1],[1,6,9,
36,8,32,9,36,2,18,36,18,6,18,24,48,96,9,6,18,9,9,36,36,36,16,24,8,24,2,16,24,
18,9,1,18,9,16,6,24,12,48,24,9,8,6,2,6,2,8,6,6,1,1],[1,6,9,12,8,32,9,2,18,6,
18,18,24,16,48,6,9,18,3,9,18,16,8,2,16,24,1,9,9,16,6,12,12,3,8,2,2,3,1,1,1],[
1,6,9,12,8,32,9,2,18,6,18,18,24,48,16,6,9,18,3,9,18,16,8,2,16,24,1,9,9,16,6,
12,12,3,8,2,2,3,1,1,1],[1,12,27,12,28,5,8,3,27,27,12,12,1,3,9,9,9,36,57,18,54,
54,21,3,5,21,3,23,23,8,24,24,9,12,3,9,12,3,9,9,9,27,27,18,9,9,54,4,12,18,18,
12,12,18,18,4,3,3,3,21,9,3,3,1,3,3,3,9,21,9,21,1,2,3,6,9,23,9,42,24,9,9,9,12,
18,3,9,9,9,18,18,8,4,8,4,4,3,3,3,3,3,3,3,3,3,3,1,3,3,3,4,2,3,3,3,3,3,3,1,3,9,
21,3,3,9,9,1,3,3,3,3,3,3,3,1,3,4,6,6,9,1,8,4,8,4,4,3,3,3,3,3,3,3,3,3,3,1,3,3,
3,4,6,6,3,3,3,3,1,1,1,1,1,1,1,4,3,3,1,1,1,1,1,1,1,1],[1,15,10,5,7,12,12,10,15,
6,5,10,5,6,10,6,1,5,1],[1,15,10,5,7,12,12,10,15,6,5,10,5,6,10,6,1,5,1],[1,18,
9,4,8,4,16,8,27,12,18,6,36,36,18,12,6,4,8,2,16,16,16,16,4,16,4,4,16,4,4,9,18,
27,12,12,24,2,12,18,9,12,12,1,24,12,12,12,4,8,4,16,8,9,6,18,3,12,4,4,6,2,12,6,
2,1,6,3,1,2,1,1],[1,18,81,4,8,4,16,8,81,12,36,108,36,12,216,108,432,216,4,8,2,
16,16,16,16,4,16,4,4,16,4,4,108,108,12,12,24,2,18,36,72,18,24,144,144,12,12,
144,144,36,144,36,36,144,36,36,4,8,4,16,8,18,18,72,18,18,18,12,4,4,12,12,24,
12,48,24,1,12,12,2,1,1],[1,9,9,9,4,8,4,16,8,27,6,18,18,6,18,6,18,6,18,6,6,18,
4,8,2,16,16,16,16,4,16,4,4,16,4,4,27,9,9,9,6,6,12,1,9,6,6,12,6,6,12,12,9,6,1,
6,12,12,9,6,1,6,6,6,4,8,4,16,8,3,9,9,3,9,3,6,2,2,6,6,6,2,2,6,2,6,2,1,3,1,3,3,
1,1,1,1],[1,9,18,4,8,4,16,8,27,18,6,6,18,18,18,36,6,6,12,4,8,2,16,16,16,16,4,
16,4,4,16,4,4,9,27,18,12,9,6,6,12,12,2,12,18,6,1,6,12,12,12,12,12,12,4,8,4,16,
8,9,6,18,3,6,2,2,6,6,6,2,4,2,12,1,1,3,6,1,2,1],[1,9,4,8,4,16,8,9,18,6,18,6,4,
8,2,16,16,16,16,4,16,4,4,16,4,4,18,18,12,9,12,12,1,12,4,8,4,16,8,9,1,6,2,6,2,
1,2,2,1,1],[1,18,81,4,8,4,16,8,81,36,12,108,36,216,12,108,432,216,4,8,2,16,16,
16,16,4,16,4,4,16,4,4,108,108,24,36,18,24,24,72,2,18,144,144,144,144,36,144,
36,24,36,144,36,36,4,8,4,16,8,36,18,72,36,12,4,12,24,12,4,12,48,24,1,12,12,2,
1,1],[1,9,4,8,4,16,8,81,18,6,18,6,4,8,2,16,16,16,16,4,16,4,4,16,4,4,54,54,12,
9,12,12,1,12,4,8,4,16,8,9,9,6,2,6,2,1,6,6,1,1],[1,9,18,4,8,4,16,8,27,18,6,6,
18,18,18,36,6,6,12,4,8,2,16,16,16,16,4,16,4,4,16,4,4,18,27,9,12,9,6,6,12,12,2,
12,18,6,1,6,12,12,12,12,12,12,4,8,4,16,8,9,18,3,6,6,2,2,6,6,6,2,4,2,12,1,6,3,
1,1,2,1],[1,9,18,4,8,4,16,8,27,18,6,18,6,36,12,36,12,4,8,2,16,16,16,16,4,16,4,
4,16,4,4,27,9,18,12,9,12,12,1,12,12,12,12,18,12,24,2,24,4,8,4,16,8,9,3,18,6,6,
2,6,2,12,4,4,12,1,6,3,1,1,2,1],[1,81,18,4,8,4,16,8,81,6,108,18,216,18,36,108,
6,12,432,216,4,8,2,16,16,16,16,4,16,4,4,16,4,4,54,54,108,36,6,6,12,2,72,18,6,
18,6,144,144,12,12,144,12,144,36,144,36,36,144,12,12,36,36,4,8,4,16,8,18,9,36,
18,9,36,18,18,2,12,6,24,6,2,4,12,48,12,24,1,6,6,12,2,1,1],[1,81,18,4,8,4,16,8,
81,108,216,12,36,108,432,216,12,36,4,8,2,16,16,16,16,4,16,4,4,16,4,4,108,108,
36,12,72,18,144,144,144,144,24,24,36,12,12,144,18,36,2,36,12,144,36,36,4,8,4,
16,8,18,72,18,18,18,18,12,24,12,4,12,48,24,12,4,1,12,12,1,2,1],[1,81,18,4,8,4,
16,8,81,108,216,36,12,108,432,216,36,12,4,8,2,16,16,16,16,4,16,4,4,16,4,4,108,
108,36,12,72,18,144,144,144,144,36,18,2,144,24,24,12,36,12,36,12,144,36,36,4,
8,4,16,8,18,18,72,18,18,18,12,24,12,4,12,48,24,12,4,1,12,12,1,2,1],[1,81,4,8,
4,16,8,81,108,216,108,432,216,4,8,2,16,16,16,16,4,16,4,4,16,4,4,36,72,18,144,
144,144,144,36,144,36,36,144,36,36,4,8,4,16,8,18,18,18,36,12,24,12,48,24,1,1,
1],[1,81,4,8,4,16,8,81,108,216,108,432,216,4,8,2,16,16,16,16,4,16,4,4,16,4,4,
36,72,18,144,144,144,144,36,144,36,36,144,36,36,4,8,4,16,8,18,18,18,36,12,24,
12,48,24,1,1,1],[1,81,18,4,8,4,16,8,81,108,216,108,36,12,432,36,216,12,4,8,2,
16,16,16,16,4,16,4,4,16,4,4,108,108,36,72,18,12,144,144,144,144,36,12,144,36,
12,18,12,24,36,2,144,24,36,36,4,8,4,16,8,18,18,18,18,18,72,12,24,12,12,4,48,
24,4,12,1,12,12,1,2,1],[1,81,4,8,4,16,8,81,108,216,108,432,216,4,8,2,16,16,16,
16,4,16,4,4,16,4,4,36,72,18,144,144,144,144,36,144,36,36,144,36,36,4,8,4,16,8,
18,36,36,12,24,12,48,24,1,1,1],[1,81,4,8,4,16,8,81,108,216,108,432,216,4,8,2,
16,16,16,16,4,16,4,4,16,4,4,36,72,18,144,144,144,144,36,144,36,36,144,36,36,4,
8,4,16,8,18,36,36,12,24,12,48,24,1,1,1],[1,9,9,9,4,8,4,16,8,27,18,6,18,6,18,6,
18,18,6,6,18,6,4,8,2,16,16,16,16,4,16,4,4,16,4,4,27,9,9,9,6,6,6,12,12,9,6,1,6,
6,12,12,9,6,1,6,6,9,6,12,6,6,1,12,4,8,4,16,8,9,3,9,3,9,3,6,6,2,2,6,2,6,2,6,2,
2,6,1,3,3,3,1,1,1,1,1],[1,45,40,30,45,36,120,45,10,36,30,10,30,10,12,1],[1,45,
20,20,15,15,45,36,60,60,45,10,36,15,15,10,15,15,10,6,6,1],[1,45,20,20,15,15,
45,36,60,60,45,10,36,15,15,10,15,15,10,6,6,1],[1,45,40,30,45,36,120,45,10,36,
30,10,30,10,12,1],[1,45,20,20,15,15,45,36,60,60,45,10,36,15,15,10,15,15,10,6,
6,1],[1,15,30,1,10,20,45,5,45,6,15,10,30,10,30,60,45,10,6,15,5,15,5,10,30,6,
10,10,10,18,15,15,30,6,5,10,1,6,5,3,1,1],[1,18,45,1,10,20,45,5,45,6,15,1,15,
30,10,30,60,15,10,18,6,18,5,15,15,30,5,10,6,10,10,10,18,5,15,6,6,6,5,10,1,6,5,
3,1,1],[1,15,10,1,10,20,15,5,15,6,15,10,10,20,10,10,15,10,6,5,15,15,5,10,10,6,
10,10,10,6,15,5,6,5,10,1,6,5,1,1,1],[1,15,10,11,20,15,5,15,6,15,10,20,10,20,
15,10,6,15,5,15,5,10,10,6,10,10,10,6,15,5,6,5,10,1,6,5,1,1,1],[1,18,45,11,20,
45,5,45,6,45,11,45,60,15,10,18,6,18,45,5,15,5,10,6,20,10,18,15,5,6,6,6,5,10,1,
6,5,3,1,1],[1,15,30,11,20,45,5,45,6,15,10,30,40,60,45,10,6,15,5,15,5,10,30,6,
10,10,10,18,15,15,30,6,5,10,1,6,5,3,1,1],[1,30,15,11,20,45,5,45,6,40,15,10,30,
60,45,10,6,15,30,5,15,5,10,6,10,10,10,18,15,15,30,6,10,5,1,6,5,3,1,1],[1,18,
45,11,20,5,45,45,6,45,11,45,60,15,10,18,6,18,5,45,15,5,10,6,20,10,18,5,15,6,6,
6,10,5,1,6,5,3,1,1],[1,10,15,11,20,15,5,15,6,10,15,10,20,20,15,10,6,10,5,15,
15,5,10,6,10,10,10,6,15,5,6,10,5,1,6,5,1,1,1],[1,15,10,10,1,20,5,15,15,6,10,
10,10,15,10,20,15,10,6,10,5,5,10,15,15,6,10,10,10,6,5,15,6,10,5,1,6,5,1,1,1],[
1,18,45,10,1,20,5,45,45,6,30,10,30,15,1,15,60,15,10,18,6,18,30,5,5,10,15,15,6,
10,10,10,18,15,5,6,6,6,10,5,1,6,5,3,1,1],[1,15,30,10,1,20,5,45,45,6,30,10,30,
15,10,60,45,10,6,30,5,5,10,15,15,6,10,10,10,18,15,15,30,6,10,5,1,6,5,3,1,1],[
1,14,45,2,2,30,45,1,10,6,30,10,6,30,45,1,9,1,9,10,30,30,30,2,2,5,1,5,9,6,30,2,
6,6,2,6,6,10,5,9,1,2,6,6,6,5,1,1,1,6,2,1,1],[1,14,45,2,2,45,9,45,1,10,6,30,10,
6,30,45,1,9,1,9,30,30,2,2,5,1,5,9,9,9,2,6,6,2,6,6,5,1,5,9,1,6,6,5,1,1,1,1,1,1,
1],[1,14,45,2,2,45,30,1,10,6,30,10,6,30,45,1,9,1,9,30,30,30,10,2,2,5,1,5,9,6,
30,2,6,6,2,6,6,5,10,9,1,6,6,6,2,5,1,1,1,6,1,2,1],[1,9,14,45,30,21,4,18,18,42,
84,45,4,12,45,72,30,16,2,4,36,42,24,62,48,18,6,24,72,6,45,144,54,6,20,12,4,20,
12,12,12,12,9,24,42,24,6,12,36,24,42,24,12,6,18,12,12,72,12,24,45,42,72,24,72,
18,6,24,16,4,24,16,12,24,24,12,24,24,24,27,3,14,36,36,24,18,18,9,72,12,27,3,
36,24,24,36,24,72,108,10,16,24,72,36,16,16,24,36,36,12,54,24,12,6,24,12,12,4,
12,4,20,12,12,4,4,4,12,4,20,12,20,12,1,12,24,20,12,20,24,12,24,12,24,24,3,6,
12,12,6,9,12,3,12,24,24,24,24,12,18,12,6,14,24,9,12,36,18,12,6,24,24,24,36,12,
12,24,24,36,24,24,24,12,27,3,18,36,12,3,6,4,18,6,24,18,6,12,18,6,16,36,3,4,6,
6,12,6,6,12,6,6,18,6,24,12,18,18,3,6,24,36,18,18,3,27,3,6,6,3,6,1,4,12,12,6,
18,12,3,6,18,18,3,18,6,3,6,18,3,3,36,36,36,12,3,4,4,4,4,4,4,4,5,12,4,4,4,12,4,
3,4,4,4,4,4,4,4,4,20,12,4,4,12,12,4,4,12,4,4,4,4,4,1,3,5,3,3,4,6,12,6,12,6,6,
6,24,12,18,6,6,6,3,3,1,4,12,6,12,3,6,3,6,3,6,6,12,12,6,6,4,6,6,18,18,3,6,4,6,
6,6,6,3,6,3,6,18,6,18,3,6,3,6,3,6,3,6,6,6,4,6,6,18,6,6,6,6,3,4,6,6,6,6,6,6,18,
3,6,6,3,6,3,3,6,3,5,3,6,5,1,4,4,4,4,4,4,4,1,5,3,3,1,1,1,3,3,1,5,3,4,4,4,4,3,5,
6,4,4,4,4,6,3,4,6,6,6,6,3,6,6,3,6,3,6,6,3,3,6,3,1,3,1,1,1,3,1,1,1,5,3,3,1,1,1,
1,1,1,4,1,1,1,1,1,1,1,3,1,1,1,1,1,3,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[
1,21,14,45,30,9,4,48,54,62,144,45,2,16,45,42,36,12,4,4,30,72,24,42,18,6,6,24,
72,18,45,84,18,6,12,20,12,4,12,20,12,16,27,36,72,24,16,16,108,36,72,24,12,18,
54,12,10,72,16,36,45,72,42,24,72,6,6,14,12,4,24,6,18,24,24,16,36,24,24,9,3,24,
36,36,24,12,12,27,42,18,9,3,24,24,24,24,36,42,36,12,12,24,72,24,12,12,24,24,
24,12,18,24,12,6,24,12,12,12,20,12,24,20,4,4,4,12,4,20,12,12,4,20,12,12,4,12,
20,24,1,18,24,16,36,24,3,18,18,18,6,27,18,3,18,36,36,36,36,12,12,18,6,24,24,
27,18,36,12,18,6,24,24,36,24,12,12,14,24,36,36,24,24,18,9,3,12,24,12,1,6,4,12,
4,24,12,4,18,6,6,12,24,3,6,6,6,18,6,6,18,6,6,12,6,24,18,12,12,3,6,24,24,12,12,
3,9,3,6,6,3,6,3,6,12,18,6,12,18,3,6,12,12,3,12,6,3,6,12,3,3,24,24,24,12,4,4,4,
12,4,12,4,4,4,20,12,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,12,4,4,4,4,4,3,3,5,
3,1,5,3,3,6,6,18,6,18,6,4,6,24,18,12,6,6,6,3,3,3,6,18,6,18,3,6,3,6,3,6,6,18,
18,6,6,4,4,6,12,12,3,6,6,6,6,6,6,3,6,1,4,12,6,12,3,6,3,6,3,4,3,6,6,6,6,6,4,12,
6,6,6,6,3,6,6,6,6,6,6,6,12,3,6,6,3,6,3,3,6,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,3,3,
6,5,5,3,5,5,1,1,1,3,1,5,3,1,3,3,1,3,6,6,3,6,6,6,6,4,3,6,6,3,6,3,6,6,3,3,6,3,4,
1,3,1,1,1,3,1,5,3,1,1,3,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,3,1,1,1,3,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1],[1,9,6,21,6,13,16,16,16,18,18,18,36,21,48,9,12,6,
12,2,18,12,6,12,6,6,6,9,24,18,6,48,48,24,24,64,16,16,16,16,16,16,16,9,18,12,6,
36,18,12,12,6,18,12,24,24,24,24,9,18,12,12,48,24,6,6,3,3,6,6,6,9,3,3,24,24,12,
12,12,12,2,12,12,12,12,12,6,6,12,6,6,12,6,12,6,12,12,12,12,4,4,12,12,24,24,24,
24,36,12,12,12,12,6,6,6,12,6,8,12,16,16,16,16,16,16,16,3,6,6,9,3,24,6,6,6,9,6,
6,12,12,12,12,12,12,12,12,4,12,24,24,12,12,24,12,12,12,12,24,3,3,6,12,6,6,12,
12,6,6,6,3,6,6,6,3,12,1,6,6,3,3,12,12,12,12,12,6,6,12,12,12,12,12,6,12,6,12,
12,12,12,6,12,6,12,8,8,8,4,4,4,4,12,12,16,6,3,6,1,6,3,12,12,6,6,3,6,3,12,12,
12,12,12,12,6,6,3,3,3,3,3,3,6,6,4,4,6,6,6,6,4,4,12,1,8,4,4,4,4,3,3,3,4,6,3,3,
6,3,3,6,1,4,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,13,6,21,6,9,16,16,16,12,18,6,24,
21,64,2,12,9,18,6,12,12,18,18,6,6,6,9,36,18,6,48,48,24,24,48,16,16,16,16,16,
16,16,12,3,12,12,12,12,12,12,6,6,12,36,12,12,12,2,12,9,18,48,24,6,6,6,12,6,6,
12,12,12,9,3,3,18,6,9,3,24,24,12,18,36,12,18,4,24,12,4,24,12,12,6,12,12,12,12,
6,6,6,6,12,12,24,24,24,24,24,24,12,6,6,6,12,6,16,16,16,8,16,16,16,16,12,6,12,
12,3,3,6,3,12,12,12,12,12,12,12,12,12,6,6,12,12,6,6,12,12,12,12,6,6,24,9,3,4,
6,24,12,12,6,1,6,6,6,6,3,6,6,6,3,9,3,12,12,12,12,3,6,12,6,6,24,6,6,12,12,12,
12,12,24,24,12,12,12,12,12,6,12,6,8,16,12,8,8,4,4,4,12,4,12,3,6,6,3,3,6,6,6,6,
12,12,12,12,1,6,3,12,6,12,3,4,4,6,3,6,6,3,3,3,3,12,12,6,6,6,8,4,4,12,1,4,4,4,
4,3,6,3,3,6,4,6,3,3,3,3,1,4,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,10,25,10,10,25,
50,25,25,25,25,2,2,2,25,25,25,25,25,25,25,10,2,10,10,2,10,10,2,10,25,10,20,10,
10,10,10,10,10,1,10,10,10,2,1,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,9,9,21,2,
6,16,16,9,27,3,9,1,3,27,3,18,7,9,21,18,12,24,4,12,24,9,3,9,9,9,3,9,8,1,16,8,
16,3,9,6,3,2,9,6,9,9,27,27,6,2,6,1,4,4,12,9,3,9,4,7,8,8,4,12,12,24,8,3,1,3,3,
3,6,9,9,3,3,9,9,9,3,6,6,1,3,6,4,3,9,3,3,2,1,4,9,3,4,12,2,4,3,9,3,4,4,4,3,1,1,
2,3,3,3,3,3,2,1,3,3,6,2,1,4,3,1,3,1,1,1,1],[1,18,12,27,6,2,6,16,16,45,54,18,
54,27,9,1,27,6,6,2,6,18,18,6,42,24,48,6,18,27,27,6,54,9,8,1,16,8,16,6,6,18,36,
18,2,18,18,18,18,6,18,36,18,2,18,1,4,4,9,6,3,8,2,16,24,24,1,3,24,2,18,18,18,
18,6,6,6,12,9,6,4,6,6,3,6,6,2,1,4,3,3,24,1,2,4,6,9,8,4,2,2,4,3,6,3,6,6,1,6,1,
4,6,1,2,1,1],[1,9,3,54,21,2,6,16,16,9,9,54,9,27,1,9,27,54,3,6,7,9,36,21,6,12,
24,72,12,24,144,144,27,3,27,27,27,9,27,8,1,16,8,16,3,3,18,3,2,3,9,18,9,9,9,18,
18,36,18,2,18,1,4,4,36,72,27,3,3,4,7,8,4,24,12,12,6,48,24,24,48,1,9,9,9,9,3,9,
9,3,18,9,9,9,3,6,18,3,9,6,36,36,4,3,3,6,3,2,1,4,3,3,3,12,6,24,12,2,4,9,9,9,18,
4,4,4,1,1,2,3,3,3,3,3,1,3,6,3,3,12,6,6,12,1,4,3,3,6,3,1,1,1,1],[1,24,12,27,24,
3,4,2,4,54,54,27,18,9,36,27,54,14,15,6,7,30,27,6,12,6,12,36,24,12,6,18,8,12,
36,27,36,54,27,27,2,2,1,4,4,15,30,54,9,9,27,27,9,9,6,18,36,18,18,6,24,36,36,
27,8,8,4,2,8,6,6,3,6,6,2,2,6,6,2,1,3,8,12,12,12,12,4,9,27,9,9,9,9,9,18,1,6,8,
12,6,4,6,12,6,6,3,6,6,6,6,6,6,2,6,1,4,3,6,12,9,2,2,1,1,2,1,2,3,6,4,6,3,3,6,2,
1,2,1,1,2,1,1,1,1,2,3,1,1,1,1,1,1,1,1],[1,21,9,9,6,16,2,16,27,27,1,9,3,3,9,19,
18,3,4,33,9,24,18,24,9,9,9,3,9,3,9,8,8,1,16,16,9,9,12,2,3,6,3,6,27,9,27,9,1,4,
2,4,6,6,9,16,7,8,4,8,12,9,3,8,24,3,3,3,1,3,6,9,3,3,9,9,9,9,3,6,3,1,6,6,4,9,4,
12,9,2,1,4,3,3,3,3,2,4,3,9,3,4,4,4,3,3,3,1,1,2,3,1,2,3,3,3,6,3,2,4,1,3,1,3,1,
1,1,1],[1,6,12,27,18,6,16,2,16,9,18,54,1,27,27,27,18,54,2,42,6,6,30,18,18,48,
6,6,18,27,6,54,9,27,8,8,1,16,16,6,6,18,2,6,18,36,18,18,18,18,18,36,1,4,2,4,18,
18,9,8,2,16,24,24,3,6,24,1,3,2,18,18,6,6,18,18,6,12,9,6,4,24,6,1,6,2,1,4,6,3,
3,3,6,2,4,6,9,8,4,2,2,4,3,6,6,6,1,3,6,4,1,6,1,2,1,1],[1,21,3,54,9,6,16,2,16,9,
54,9,54,1,9,9,27,27,19,6,3,33,72,9,24,6,24,144,36,144,9,27,27,3,27,27,27,8,8,
1,16,16,3,3,72,18,2,3,3,9,9,9,18,9,18,18,72,1,4,2,4,18,18,27,16,7,8,4,12,24,3,
3,24,6,24,48,48,3,9,9,1,9,9,9,3,18,9,9,9,9,3,6,3,9,6,36,18,36,4,3,12,3,6,6,24,
12,2,1,4,3,3,3,3,2,4,9,9,9,18,4,4,4,3,3,3,1,1,2,3,1,3,3,6,3,6,12,3,6,12,4,1,3,
3,6,3,1,1,1,1],[1,36,12,27,6,16,2,16,72,54,1,18,27,27,36,42,6,36,18,6,48,6,18,
18,27,54,9,27,8,8,1,16,16,42,36,36,2,6,18,18,18,18,1,4,2,4,18,18,27,24,12,8,
24,3,24,1,3,48,6,18,18,6,18,18,18,6,9,12,6,4,6,24,6,6,2,1,4,6,3,3,2,4,18,9,8,
4,6,3,6,2,6,6,1,12,3,6,4,1,3,6,2,1,1],[1,18,81,6,16,2,16,1,81,27,3,3,81,27,54,
10,90,18,144,6,54,144,9,3,27,27,27,27,27,8,8,1,16,16,2,6,6,90,18,54,18,1,4,2,
4,54,18,6,6,54,18,27,32,24,9,24,8,24,1,9,48,48,6,6,18,18,18,18,18,9,1,9,36,6,
6,18,36,18,18,18,18,4,24,2,1,4,3,3,9,3,9,3,24,2,4,18,9,18,4,4,4,2,6,6,3,1,3,
12,3,3,3,3,6,2,6,12,4,1,6,3,6,1,1,1,1],[1,9,21,9,6,16,2,16,1,27,9,3,3,27,9,18,
12,4,12,18,21,24,7,9,3,24,9,3,3,9,9,9,9,8,8,1,16,16,2,6,6,12,1,4,2,4,27,9,9,3,
6,6,27,9,9,3,9,8,9,12,4,8,12,4,7,3,24,8,6,3,1,3,9,3,6,3,1,6,6,9,9,9,9,3,3,3,3,
4,2,1,4,3,3,9,3,9,3,12,4,2,4,3,9,3,4,4,4,2,3,3,1,3,3,3,3,3,1,2,3,1,6,2,4,1,3,
3,1,1,1,1,1],[1,12,27,6,16,2,16,1,27,27,9,27,42,6,18,6,6,18,9,27,27,8,8,1,16,
16,2,36,18,18,1,4,2,4,18,18,9,24,3,24,1,3,6,9,6,4,2,1,4,3,3,1,3,2,4,9,4,6,1,3,
3,6,4,1,1,1,1],[1,12,27,36,6,16,2,16,1,27,27,18,18,54,54,42,24,6,18,6,36,6,18,
12,48,9,18,27,27,54,8,8,1,16,16,2,36,18,18,1,4,2,4,18,18,18,18,6,6,36,36,27,
24,3,24,24,8,1,3,12,48,6,9,6,18,6,6,12,18,18,18,18,4,2,1,4,3,3,6,6,24,6,6,2,4,
9,18,4,8,6,1,6,3,3,6,6,6,2,12,4,1,3,6,1,2,1],[1,12,27,6,18,6,16,2,16,1,27,27,
9,18,45,54,54,42,6,18,24,6,6,48,6,18,2,18,6,9,6,27,27,54,8,8,1,16,16,2,18,18,
36,1,4,2,4,18,18,18,18,6,6,6,18,18,18,36,9,24,3,24,24,8,1,3,2,6,16,6,9,6,6,6,
2,12,18,18,18,18,4,2,1,4,3,3,6,6,24,1,3,6,6,2,4,9,6,4,8,6,1,2,3,3,6,6,6,2,4,4,
1,1,6,1,2,1],[1,12,27,6,16,2,16,1,27,27,54,54,42,6,18,6,6,18,9,27,27,8,8,1,16,
16,2,18,18,36,1,4,2,4,18,18,27,24,3,24,1,3,6,9,6,4,2,1,4,3,3,6,6,2,4,9,4,6,1,
3,3,6,4,1,3,1,1],[1,3,54,21,9,6,16,2,16,1,9,9,27,27,9,9,54,54,6,12,72,12,6,
144,21,24,36,7,9,3,24,144,9,27,3,27,27,27,27,8,8,1,16,16,2,18,18,36,1,4,2,4,9,
9,3,3,18,18,9,9,3,3,36,18,72,18,27,24,3,12,4,24,12,4,6,7,3,48,24,48,8,18,3,9,
3,36,9,3,18,3,1,6,36,6,9,9,9,9,9,9,9,9,4,2,1,4,3,3,3,3,3,3,12,12,6,6,2,4,24,9,
9,9,18,4,4,4,6,3,3,1,12,3,3,3,3,3,1,6,3,1,6,12,2,4,1,3,3,3,6,1,1,1,1],[1,18,
81,2,6,16,16,3,81,81,1,3,27,27,18,6,54,54,10,90,144,144,27,3,27,9,27,27,27,8,
1,16,8,16,6,2,6,54,54,18,18,6,90,54,2,6,18,18,1,4,4,27,9,8,24,24,1,9,48,32,24,
48,6,18,18,6,18,18,18,18,6,18,9,6,18,18,18,1,9,36,36,4,3,2,1,4,3,9,9,3,3,24,2,
4,24,18,18,9,4,4,4,3,3,3,2,6,6,1,3,12,3,3,6,2,6,12,1,4,3,6,6,1,1,1,1],[1,9,9,
21,2,6,16,16,3,9,9,1,3,27,27,18,18,9,4,3,33,19,24,24,9,3,9,3,9,9,9,8,1,16,8,
16,6,2,6,6,9,9,3,3,2,6,27,27,9,9,1,4,4,12,9,9,8,3,7,8,12,16,8,4,24,6,9,3,6,9,
3,3,9,3,6,9,9,1,3,3,3,1,3,6,4,3,2,1,4,3,3,3,9,9,2,4,12,4,9,3,3,4,4,4,3,3,3,2,
1,3,3,3,3,1,2,2,3,1,6,1,4,3,3,1,1,1,1,1],[1,12,27,36,2,6,16,16,18,27,54,1,18,
27,54,6,12,6,18,36,42,6,18,24,48,27,18,54,9,27,8,1,16,8,16,6,2,6,18,18,18,18,
36,36,18,36,2,18,1,4,4,27,3,12,8,24,24,1,3,48,24,6,18,18,6,18,18,18,9,6,6,12,
4,6,2,1,4,6,3,3,6,6,24,2,4,18,9,8,4,6,3,6,2,6,6,1,12,3,6,1,4,3,6,2,1,1],[1,12,
27,2,6,16,16,27,1,9,27,27,6,6,18,42,6,18,9,27,27,8,1,16,8,16,2,18,18,18,2,36,
18,1,4,4,9,3,24,1,3,24,6,9,6,4,2,1,4,3,3,1,3,2,4,9,4,6,1,3,3,6,1,4,1,1,1],[1,
12,27,18,6,2,6,16,16,27,18,1,27,27,18,9,54,54,6,6,18,42,18,6,18,6,30,2,48,9,
27,27,6,54,8,1,16,8,16,2,18,18,18,18,6,2,18,18,36,6,1,4,4,18,36,18,6,18,9,3,
24,1,3,6,2,24,24,8,16,6,9,18,6,18,6,12,6,18,2,18,4,2,1,4,3,3,6,6,3,1,6,6,2,4,
24,9,6,4,8,6,1,2,3,3,6,6,6,2,4,1,4,1,6,1,2,1],[1,12,27,2,6,16,16,27,1,27,54,
54,6,6,18,42,6,18,9,27,27,8,1,16,8,16,2,18,18,18,2,18,36,1,4,4,27,3,24,1,3,24,
6,9,6,4,2,1,4,3,3,6,6,2,4,9,4,6,1,3,3,6,1,4,3,1,1],[1,12,27,36,2,6,16,16,27,
18,1,27,72,54,6,6,18,42,6,18,36,36,48,9,27,27,18,54,8,1,16,8,16,2,18,18,18,18,
6,2,18,18,42,1,4,4,36,36,27,3,24,1,3,12,24,24,8,48,6,9,18,18,18,6,18,6,18,6,
12,4,2,1,4,3,3,6,6,6,6,2,4,24,9,18,4,8,6,1,6,3,3,6,6,6,2,12,1,4,3,6,1,2,1],[1,
3,54,9,21,2,6,16,16,27,9,9,1,27,9,9,54,54,6,36,6,9,72,3,33,19,144,24,144,24,
27,27,27,3,27,9,27,8,1,16,8,16,2,18,18,9,9,18,3,3,2,18,9,9,3,3,1,4,4,18,18,72,
72,27,3,24,6,3,7,48,12,16,8,24,4,48,24,18,9,3,9,3,6,9,9,9,18,9,9,1,9,3,9,9,3,
36,36,6,4,2,1,4,3,3,3,3,3,3,6,6,2,4,12,12,24,9,9,18,9,4,4,4,6,3,1,3,12,3,3,3,
3,3,1,2,6,3,1,12,6,1,4,3,3,3,6,1,1,1,1],[1,12,27,24,24,2,3,4,4,27,36,9,18,27,
54,54,54,6,8,6,18,24,15,6,12,7,27,6,30,14,12,36,12,36,12,27,27,27,36,54,2,1,4,
2,4,6,18,18,24,36,9,27,9,9,9,27,15,6,18,36,30,54,36,27,3,2,8,4,2,2,6,6,6,6,1,
3,8,12,12,8,6,8,4,6,2,12,12,18,9,9,9,9,27,9,9,1,6,3,6,2,6,6,4,6,12,6,6,6,6,1,
3,4,6,12,6,8,6,6,12,9,2,1,2,1,1,2,2,3,3,3,6,4,6,6,2,1,2,1,2,1,1,1,1,1,2,3,1,1,
1,1,1,1,1,1],[1,18,45,20,10,1,30,45,45,10,10,5,30,45,30,30,30,6,30,20,10,30,
20,15,10,15,30,30,15,15,45,15,15,30,60,18,6,18,10,10,10,30,30,10,10,5,20,20,
15,5,15,15,15,15,15,6,18,18,12,12,10,10,10,15,10,10,10,10,10,15,6,6,6,5,10,5,
5,1,6,5,3,2,1,1,1,1],[1,20,75,10,1,75,45,6,1,120,15,30,30,6,50,10,50,15,1,15,
40,45,15,45,15,15,15,30,30,6,30,10,50,30,10,10,30,10,5,5,15,15,5,5,15,15,6,30,
18,6,6,18,6,10,10,10,25,10,10,10,10,5,6,6,6,6,6,6,6,5,10,5,5,1,6,5,5,1,1,1,
1],[1,18,45,10,30,10,1,15,45,45,45,5,15,45,30,75,30,90,90,6,30,10,10,30,10,30,
30,15,10,45,15,45,15,45,45,45,45,90,45,45,90,18,6,18,10,30,30,30,30,30,30,5,
10,30,30,30,60,5,15,15,45,45,45,45,6,18,18,6,18,10,10,10,15,30,30,30,30,5,15,
15,6,18,18,5,10,15,15,1,6,5,3,1,3,1,3,3,1],[1,18,45,30,10,10,45,45,30,15,6,45,
90,30,15,90,30,90,6,30,30,10,30,30,10,10,45,45,45,90,45,30,45,45,45,10,90,15,
45,18,6,18,30,30,30,10,30,30,30,5,30,60,30,10,30,15,45,45,45,45,5,15,18,6,18,
18,6,15,30,10,30,10,30,10,30,15,5,15,18,6,18,15,5,15,10,1,6,5,3,3,1,3,1,3,1],[
1,16,15,20,20,10,30,15,10,30,5,1,30,15,15,40,30,30,6,10,20,10,10,20,20,20,15,
30,30,5,15,15,15,15,15,10,30,30,30,6,6,6,10,10,10,10,10,10,10,5,20,20,20,20,
15,15,15,5,15,15,15,6,6,6,12,12,5,10,10,10,10,10,10,10,10,10,15,6,6,6,5,5,5,
10,1,6,5,1,2,2,1,1,1,1],[1,18,45,20,10,45,40,6,90,40,30,30,30,6,30,10,30,20,
20,15,30,30,45,15,40,60,60,18,6,18,10,30,10,10,30,10,10,5,20,20,30,15,5,30,15,
18,6,18,12,12,15,10,10,10,10,10,10,10,10,15,6,6,6,5,5,5,10,1,6,5,3,2,1,1,1,
1],[1,16,15,10,10,10,15,15,25,5,1,15,15,15,10,15,30,30,6,10,10,10,10,10,10,10,
15,15,15,15,5,15,15,15,15,15,10,15,30,6,6,6,10,10,10,10,10,10,10,5,10,10,10,
10,15,15,15,15,15,5,15,6,6,6,6,6,12,5,10,10,10,10,10,10,10,5,5,15,6,6,6,5,5,5,
10,1,6,5,1,1,1,1,1,1,1],[1,20,18,45,10,40,30,6,40,45,90,30,30,6,20,30,10,20,
30,40,15,60,60,30,30,45,15,18,6,18,10,20,20,10,10,30,10,30,10,5,30,15,5,30,15,
6,18,18,12,12,10,10,10,10,10,10,10,10,15,15,6,6,6,10,5,5,5,1,6,5,2,3,1,1,1,
1],[1,30,18,45,10,10,75,90,30,90,5,45,45,45,15,15,1,45,30,6,30,30,10,10,30,30,
10,45,45,90,45,45,10,90,15,15,45,45,45,15,45,18,6,18,30,30,30,60,30,10,30,30,
30,30,10,30,5,45,45,15,45,45,5,15,18,6,18,18,6,10,30,30,30,30,10,10,15,15,5,
15,18,6,18,10,15,15,5,1,6,5,3,3,1,3,3,1,1],[1,20,16,15,20,10,40,30,5,30,15,15,
30,30,1,10,15,30,6,20,10,20,10,20,10,20,30,15,30,10,30,5,30,15,15,15,15,15,30,
6,6,6,10,20,20,10,10,10,10,10,10,20,20,5,15,15,15,15,5,15,15,6,6,6,12,12,10,
10,10,10,10,10,10,10,5,10,15,6,6,6,10,5,5,5,1,6,5,2,1,2,1,1,1,1],[1,10,18,45,
30,10,15,30,90,6,15,45,90,45,45,30,30,90,6,10,30,30,10,10,30,30,15,45,45,10,
90,30,45,45,45,45,45,45,90,18,6,18,30,10,30,10,30,30,30,30,30,30,30,60,5,45,
15,45,5,45,15,45,6,18,18,6,18,10,30,30,10,10,30,30,5,15,15,15,6,18,18,10,15,5,
15,1,6,5,1,3,3,3,1,3,1],[1,10,16,15,10,10,15,10,30,5,25,15,15,15,15,1,15,30,6,
10,10,10,10,10,10,10,15,15,15,10,30,5,15,15,15,15,15,15,15,6,6,6,10,10,10,10,
10,10,10,10,10,10,10,5,15,15,15,15,5,15,15,6,6,6,6,6,12,10,10,10,10,10,10,10,
5,5,5,15,6,6,6,10,5,5,5,1,6,5,1,1,1,1,1,1,1],[1,20,75,10,6,75,120,1,1,45,15,
30,30,6,50,10,50,40,1,15,45,15,45,15,15,15,15,30,30,6,30,10,10,10,50,30,30,10,
5,5,5,5,15,15,15,15,6,30,18,6,6,18,6,10,10,10,10,10,10,10,25,5,6,6,6,6,6,6,6,
10,5,5,5,1,6,5,5,1,1,1,1],[1,18,45,20,10,5,10,45,45,30,30,1,10,45,30,30,30,6,
30,20,10,30,20,15,30,15,10,30,15,15,45,15,15,30,60,18,6,18,10,10,10,30,10,30,
10,20,20,5,15,5,15,15,15,15,15,18,6,18,12,12,10,10,10,10,10,10,10,15,10,15,6,
6,6,10,5,5,5,1,6,5,3,2,1,1,1,1],[1,14,45,4,1,35,45,15,15,3,3,45,15,30,1,20,4,
20,5,3,15,45,45,15,15,15,15,15,15,9,1,9,20,20,20,1,4,15,15,5,15,15,15,15,1,9,
3,3,3,9,3,7,3,6,20,5,1,5,4,4,4,15,1,3,3,3,9,3,3,9,3,3,3,5,5,5,4,4,4,1,3,3,1,3,
3,3,3,5,4,1,1,1,3,1,1,1,1],[1,14,45,4,3,15,45,45,35,1,3,15,15,30,1,20,4,20,15,
3,15,15,45,15,5,15,45,15,15,9,1,9,20,20,20,1,4,15,15,15,5,15,15,15,3,9,9,1,3,
3,3,3,7,6,5,20,1,5,4,4,4,15,3,3,3,3,3,1,3,9,9,3,3,5,5,5,1,4,4,4,3,3,3,3,3,1,3,
5,1,1,1,4,3,1,1,1,1],[1,15,2,12,40,40,5,6,30,30,10,20,1,40,20,40,6,10,10,5,20,
20,12,12,15,20,20,10,12,12,10,5,20,10,20,6,10,1,6,5,2,2,1],[1,15,12,40,2,40,5,
6,30,10,30,20,20,1,40,40,6,10,5,20,10,20,12,12,20,15,20,10,12,12,10,5,20,10,
20,6,10,1,6,5,2,2,1],[1,18,14,45,36,18,2,2,45,54,30,90,1,6,45,27,45,6,1,10,45,
27,54,30,45,108,90,54,18,6,10,6,6,18,30,18,10,18,6,30,6,18,6,6,27,18,45,6,33,
54,72,45,36,6,54,6,18,9,6,1,9,6,9,6,18,9,54,54,27,9,45,27,27,9,18,9,9,54,6,33,
45,54,72,6,6,18,18,36,1,6,10,18,36,30,2,2,2,6,2,30,18,18,6,30,18,18,6,18,30,
36,2,18,6,30,18,6,2,2,2,18,6,30,18,10,6,18,36,30,18,30,36,9,6,18,9,36,9,27,9,
18,18,9,9,45,27,27,9,9,9,9,9,9,6,18,9,9,9,9,9,9,9,9,9,36,9,27,9,9,9,9,18,18,6,
5,6,1,5,6,6,2,2,2,18,6,18,6,2,2,30,18,18,6,2,6,6,6,6,2,6,6,6,6,6,6,6,6,18,6,
18,6,6,6,6,6,6,6,2,2,6,6,2,18,6,6,6,18,6,6,6,6,6,6,6,6,6,30,18,6,6,18,18,2,2,
18,6,2,2,6,6,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,6,10,3,6,10,1,2,1,6,1,5,3,3,1,6,2,
10,6,3,6,1,3,5,3,6,10,6,2,2,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,2,6,6,6,6,6,
6,6,6,6,9,2,2,2,3,2,6,2,2,2,5,6,2,3,6,5,4,1,1,1,2,2,2,1,2,1,1,2,2,3,1,1,2,2,5,
3,3,1,5,3,3,1,2,6,6,2,2,2,3,5,6,4,6,6,2,1,2,1,2,1,2,3,1,3,1,1,1,5,3,3,1,1,2,1,
1,1,1,2,1,1,1,1,1,1,1,1,1,2,3,1,3,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1],[1,9,12,27,24,7,8,32,18,18,36,72,27,3,9,27,27,24,3,2,3,27,36,9,30,9,18,54,
6,27,54,48,24,4,12,12,32,4,32,9,9,18,36,9,6,9,36,18,36,9,6,18,9,54,9,18,27,36,
27,9,54,9,3,3,9,3,9,9,9,9,18,9,9,12,27,27,9,9,27,9,9,9,18,27,8,3,9,54,3,3,9,
18,16,12,24,12,12,12,8,12,12,48,36,12,2,16,24,12,24,12,4,12,9,9,9,18,9,6,9,9,
9,9,9,18,18,18,18,9,9,12,9,9,9,27,9,9,9,18,9,9,27,18,9,9,9,3,9,9,3,3,9,9,9,9,
9,1,3,9,9,9,16,16,16,6,24,12,12,12,12,12,8,12,12,8,16,12,12,4,12,4,12,1,3,3,1,
3,9,9,9,9,1,3,9,9,9,9,3,3,3,3,8,16,6,12,3,6,3,3,12,3,3,3,2,3,9,3,3,2,4,1,3,3,
8,4,4,4,4,3,3,2,3,3,2,3,3,3,3,3,3,1,1,1,4,4,3,1,1,1,1,1],[1,9,6,45,6,37,8,32,
18,18,18,36,45,9,36,6,36,2,18,36,6,36,18,18,6,9,72,54,18,24,24,48,8,48,32,96,
96,9,18,36,6,36,18,36,36,6,18,36,9,18,36,36,18,18,9,9,6,18,18,9,9,9,36,36,36,
36,2,36,36,36,36,36,18,36,18,16,24,24,24,8,24,24,24,2,16,24,48,48,96,9,6,18,9,
9,18,18,6,9,18,18,36,36,36,36,9,9,18,36,18,9,18,9,1,18,18,9,9,36,16,16,16,6,
24,6,24,8,24,2,16,24,24,24,24,12,12,48,48,24,24,18,9,1,18,9,18,9,18,9,9,9,8,
16,6,6,12,24,6,6,2,6,6,2,24,12,48,9,8,8,8,6,2,6,2,6,6,6,6,6,6,1,8,6,6,1,1,1,
1],[1,9,6,9,6,1,12,12,8,32,18,18,18,36,9,36,9,6,2,18,6,6,9,18,18,18,18,12,24,
24,8,32,48,16,16,48,9,18,6,36,18,6,18,18,18,18,18,9,18,18,18,6,9,18,18,2,3,3,
9,9,18,18,18,18,16,24,8,24,2,16,24,48,16,6,9,18,6,9,3,9,18,18,9,9,18,18,1,9,9,
9,9,16,16,16,6,24,6,8,2,16,12,12,12,12,1,9,9,9,9,3,3,8,16,6,6,12,12,2,2,3,8,2,
2,3,3,1,1,1,3,1,1,1,1,1],[1,21,12,27,16,3,4,4,32,48,54,48,108,27,1,9,27,9,18,
3,4,3,9,54,9,18,3,6,18,18,27,18,12,12,4,4,12,12,4,36,28,32,12,9,27,18,54,9,16,
9,108,18,54,9,18,54,3,18,9,18,27,54,9,9,18,3,3,3,9,1,9,9,9,9,18,9,9,18,9,9,9,
27,9,9,9,9,18,9,6,3,9,18,3,3,9,6,16,12,12,12,24,12,4,12,12,12,12,4,12,1,4,8,
36,12,12,12,36,12,1,8,24,9,9,9,18,9,18,9,9,27,9,9,18,18,18,18,3,9,18,9,27,9,9,
9,9,9,18,3,9,9,18,9,9,9,1,9,9,3,3,9,9,9,9,9,3,3,3,9,9,16,16,16,4,12,12,12,12,
4,4,7,8,3,3,3,1,1,3,1,12,12,4,8,9,12,12,3,12,12,24,3,9,9,9,9,3,3,9,9,9,9,1,3,
3,3,4,16,4,4,9,3,9,3,6,3,3,3,3,3,1,3,3,1,1,2,12,3,3,3,3,3,4,4,4,4,4,4,3,3,3,3,
1,3,1,2,3,3,3,1,1,3,3,4,1,4,3,1,1,1,1,1],[1,3,12,27,16,21,4,4,32,3,18,18,27,4,
3,27,54,9,9,1,3,18,9,9,48,48,18,6,18,27,108,54,36,12,28,12,4,32,4,12,4,12,12,
3,9,9,1,3,9,9,6,18,3,27,9,54,9,18,18,18,9,3,9,16,9,9,3,9,9,27,3,9,9,9,9,9,54,
27,18,9,9,18,54,108,3,9,9,18,18,9,9,9,18,18,54,6,16,12,4,12,12,12,36,36,1,4,8,
12,12,12,12,12,12,1,8,24,4,12,12,12,24,9,3,9,3,9,3,9,9,9,9,9,18,18,9,9,9,9,27,
9,18,3,1,9,3,9,9,3,18,9,18,9,9,9,9,9,18,9,9,27,3,9,9,9,9,9,18,18,18,16,16,16,
12,12,12,4,12,12,12,1,8,3,9,7,4,4,4,8,3,3,12,12,12,12,1,1,3,3,24,3,9,9,1,3,9,
9,3,3,9,9,3,3,9,9,4,16,4,12,3,3,1,3,9,3,1,3,3,9,1,2,4,3,3,3,3,3,3,3,6,3,4,4,4,
4,4,4,3,1,3,1,2,3,3,3,3,3,3,1,1,3,3,4,1,4,3,1,1,1,1,1],[1,3,6,45,46,3,4,4,32,
3,12,54,9,1,18,9,27,27,18,1,27,27,36,12,3,18,24,72,45,54,18,12,24,12,24,4,12,
4,32,24,24,12,96,96,18,9,1,18,9,3,36,18,9,27,9,18,36,18,3,18,18,1,9,18,18,18,
18,9,3,18,18,9,9,9,9,9,18,18,18,18,27,3,36,36,18,18,18,18,72,18,24,36,36,16,
12,4,12,12,12,12,12,24,24,1,4,8,12,12,12,12,12,12,1,8,24,24,96,24,9,18,18,3,9,
3,9,9,9,3,18,18,18,9,9,9,18,36,9,1,9,9,9,18,9,9,9,9,18,9,18,9,3,9,9,9,9,9,9,9,
9,18,36,16,16,16,12,12,12,4,12,12,12,1,8,3,3,6,6,1,12,12,4,24,24,8,3,3,12,12,
12,12,6,6,24,24,24,24,24,9,9,9,1,9,9,9,9,9,9,9,9,9,9,9,4,16,4,12,3,3,6,24,3,6,
3,1,3,3,3,6,1,2,12,24,3,3,3,3,3,6,24,9,4,4,4,4,4,4,3,1,3,1,2,3,3,3,3,3,3,3,3,
6,6,3,3,4,1,4,3,3,6,1,1,1,1],[1,7,12,27,24,9,8,32,9,30,54,27,2,3,27,36,27,9,3,
3,24,27,9,36,18,6,18,54,27,72,18,4,48,12,4,32,12,24,32,3,27,9,3,3,27,9,8,54,3,
27,27,36,9,54,6,12,9,3,9,6,9,9,3,9,9,9,9,27,27,9,9,9,36,9,18,9,9,18,36,36,9,9,
9,54,18,9,9,9,18,18,18,18,16,12,4,12,8,12,12,12,12,36,12,12,48,24,12,12,24,2,
16,24,9,3,9,9,9,9,9,27,9,9,9,18,12,9,27,9,9,9,9,18,1,3,9,3,9,9,3,6,9,18,9,9,9,
9,9,18,9,9,9,9,9,9,9,9,9,18,18,18,16,16,16,4,12,12,12,4,12,8,12,12,12,12,12,
12,8,16,24,1,12,3,1,3,6,3,9,9,3,3,9,9,1,3,9,9,3,3,9,9,16,8,4,12,9,1,12,3,3,3,
2,3,3,3,3,3,3,6,3,6,2,3,4,4,4,4,8,3,3,3,3,2,3,3,2,1,3,3,1,3,3,4,4,1,3,1,1,1,1,
1],[1,37,6,45,6,9,8,32,36,54,6,72,45,2,36,9,18,6,36,36,18,18,6,18,18,9,36,18,
18,48,24,8,48,24,32,96,96,36,9,36,36,36,36,36,36,18,18,36,2,36,9,18,6,18,6,36,
6,18,36,36,36,9,9,9,18,18,9,9,36,18,36,36,18,36,18,16,24,48,48,8,24,24,24,24,
24,96,2,16,24,18,36,36,9,9,18,9,36,36,36,36,6,18,9,9,1,18,18,6,18,9,18,18,18,
9,9,9,9,18,16,16,16,24,24,24,8,24,24,24,2,16,24,12,6,12,6,48,48,24,24,9,18,18,
9,9,1,18,9,9,18,9,16,8,24,12,6,48,24,6,12,2,6,6,6,6,2,9,8,8,8,6,2,6,2,6,6,6,6,
6,6,8,1,6,6,1,1,1,1],[1,1,6,9,6,9,12,12,8,32,6,9,12,2,9,18,6,18,18,6,9,36,18,
18,18,18,18,36,24,8,24,32,48,16,48,16,2,9,18,18,18,6,6,6,9,18,9,18,18,18,36,
18,3,18,9,3,18,9,18,18,18,18,18,18,16,8,24,24,48,16,2,16,24,6,18,9,3,18,9,1,6,
9,9,9,9,9,18,9,18,18,9,16,16,16,8,2,16,24,6,6,12,12,12,12,1,9,9,3,3,9,9,16,8,
6,12,12,2,6,2,3,8,2,2,1,3,1,3,1,3,1,1,1,1,1],[1,18,12,27,42,4,4,32,27,18,54,
54,4,27,27,54,21,21,1,3,54,9,9,18,18,6,54,12,36,28,12,24,4,12,24,96,27,9,36,
27,27,6,18,18,18,36,18,54,18,18,18,21,3,9,18,27,27,18,18,27,9,3,9,27,9,9,27,
54,9,9,18,36,16,12,36,12,12,4,36,12,1,4,8,12,12,12,12,12,12,1,8,24,24,24,18,
27,18,18,9,3,9,9,9,9,18,18,9,27,9,9,3,18,1,27,3,9,9,9,9,3,9,9,9,9,9,27,9,9,9,
9,9,16,16,16,12,4,12,12,12,12,12,6,3,9,7,12,4,12,24,3,12,12,12,12,1,6,3,24,24,
9,3,9,9,9,9,9,9,9,9,9,3,9,9,9,4,16,4,12,3,6,6,3,9,3,3,1,9,3,1,2,12,3,3,3,3,3,
9,4,4,4,4,4,4,3,3,3,3,1,3,3,3,3,3,1,3,6,3,3,4,1,4,3,3,1,1,1,1],[1,18,6,45,12,
18,4,4,32,27,18,18,54,36,1,12,9,27,3,12,1,3,27,36,18,27,24,36,54,18,18,12,12,
4,24,24,12,24,24,4,12,96,9,9,36,9,27,6,18,18,18,36,36,18,18,18,18,36,3,3,18,6,
9,18,9,3,27,18,3,18,9,9,9,9,9,9,18,18,18,18,18,18,9,9,36,18,36,16,12,12,24,4,
12,12,12,12,24,1,4,8,12,12,12,12,12,12,1,8,24,24,24,9,9,18,3,18,9,9,9,9,18,18,
9,9,9,9,18,18,18,1,9,3,3,9,18,3,9,9,9,9,9,18,9,9,9,18,9,9,9,9,9,9,16,16,16,4,
12,12,12,12,12,12,6,3,3,1,6,6,12,12,4,24,3,12,12,12,12,1,6,3,24,24,3,9,9,9,9,
9,9,9,9,9,9,9,3,9,9,4,16,4,12,3,6,6,3,3,6,1,3,3,3,3,6,1,2,12,3,3,3,3,3,9,4,4,
4,4,4,4,3,3,3,1,3,3,3,3,3,3,3,1,6,3,3,4,1,4,3,3,1,1,1,1],[1,42,12,27,18,8,32,
75,54,54,54,2,39,27,36,9,9,3,3,18,27,9,6,18,18,18,52,48,12,4,24,12,96,39,27,
72,27,27,18,18,54,18,36,6,18,18,18,12,9,3,9,36,27,27,18,18,9,9,9,27,9,9,9,9,
18,9,9,18,36,16,48,36,24,24,8,24,12,12,12,12,12,12,12,2,16,24,36,27,18,18,9,9,
27,9,9,27,18,18,3,9,9,9,1,18,3,9,3,9,9,3,9,9,9,9,9,9,9,9,9,9,9,9,9,16,16,16,
24,12,12,12,12,4,12,12,4,12,12,12,12,6,13,12,3,1,3,48,24,9,9,9,9,9,3,9,9,9,9,
9,3,9,9,9,16,8,12,12,3,6,6,12,9,2,6,3,3,3,3,3,3,2,9,4,8,4,4,4,3,3,3,6,3,3,3,1,
3,3,1,3,3,6,4,4,1,3,3,1,1,1,1],[1,12,6,45,36,8,32,6,36,36,108,2,6,9,18,18,18,
36,36,36,6,36,18,36,18,8,24,24,48,48,96,6,18,18,36,36,36,12,36,36,36,36,6,18,
36,18,18,36,9,18,18,9,18,9,36,36,36,36,36,36,16,24,48,8,24,24,24,24,24,48,2,
16,24,18,36,6,18,9,18,18,18,36,36,36,1,18,6,18,18,18,18,9,18,9,9,9,18,9,32,16,
8,24,24,24,24,24,24,12,2,6,6,12,48,24,6,18,18,18,9,18,9,18,9,16,8,24,6,12,12,
6,2,6,6,6,6,2,9,8,8,8,6,6,6,2,6,6,6,6,8,1,6,2,1,1],[1,36,6,9,12,12,8,32,36,18,
72,2,36,9,18,6,18,18,18,18,18,48,24,96,48,16,48,16,36,9,36,36,18,18,18,18,6,
18,9,9,18,18,3,18,9,3,18,9,18,18,18,18,16,24,8,24,2,16,48,48,24,18,9,18,18,18,
18,18,1,18,9,9,9,9,9,18,16,16,16,24,12,6,48,24,12,12,12,12,9,9,9,3,3,9,9,16,8,
6,2,6,2,12,12,9,8,6,6,1,3,1,3,1,3,3,1,1,1,1],[1,18,81,8,32,2,81,54,6,6,162,54,
6,36,54,18,72,8,72,96,18,6,54,9,54,54,54,18,81,54,9,54,54,36,108,36,36,16,8,
24,24,72,24,72,24,2,16,24,1,6,6,54,18,54,18,18,18,9,9,9,18,54,18,54,9,18,9,18,
9,32,16,24,8,24,24,24,24,24,18,2,18,48,24,6,9,18,18,18,18,9,18,9,16,8,24,2,6,
6,18,6,18,6,2,9,8,8,8,6,2,6,6,6,6,6,6,8,1,6,2,1,1],[1,6,45,24,8,32,2,9,18,36,
36,6,18,18,108,36,24,48,96,32,96,6,36,9,9,18,9,36,36,36,6,18,36,18,18,36,36,
18,18,16,8,24,24,2,16,96,24,1,18,18,9,9,18,18,18,18,36,36,16,32,24,6,12,48,24,
24,24,9,6,9,9,18,16,8,2,6,6,2,24,9,8,6,6,2,6,1,6,1,2,1],[1,6,45,24,8,32,2,9,
18,36,36,6,18,18,108,36,24,48,96,96,32,6,36,9,9,18,9,36,36,36,36,6,18,18,18,
36,18,18,36,16,8,24,24,2,16,96,24,1,18,18,9,9,18,18,18,18,36,36,16,32,24,6,12,
48,24,24,24,9,6,9,9,18,16,8,2,6,6,2,24,9,8,6,6,6,2,1,6,1,2,1],[1,6,45,8,32,2,
9,18,36,36,6,18,18,72,24,48,96,6,36,9,9,18,9,36,36,36,36,16,8,24,24,2,16,24,1,
18,18,9,9,18,18,16,24,6,12,48,24,9,9,9,16,8,2,6,6,2,9,8,6,6,1,1,1],[1,6,45,8,
32,2,9,18,36,36,6,18,18,72,24,48,96,6,36,9,9,18,9,36,36,36,36,16,8,24,24,2,16,
24,1,18,18,9,9,18,18,16,24,6,12,48,24,9,9,9,16,8,2,6,6,2,9,8,6,6,1,1,1],[1,18,
81,4,4,32,4,81,108,4,6,108,54,18,60,18,18,36,4,36,36,4,36,96,36,6,54,27,36,90,
54,36,27,36,9,54,54,72,72,36,36,16,12,4,12,36,36,12,12,1,4,8,36,12,12,12,36,
12,1,8,24,3,10,12,54,36,36,18,36,36,9,9,3,12,36,18,36,9,18,9,18,9,16,16,16,12,
12,12,4,12,12,12,9,1,9,4,12,12,24,9,12,12,12,12,1,9,24,24,12,9,12,18,18,18,9,
18,9,4,16,4,12,3,1,3,9,9,3,3,1,2,12,9,3,3,3,9,3,9,4,4,4,4,4,4,3,3,3,1,3,3,3,1,
3,3,6,3,3,3,3,4,1,4,3,3,1,1,1,1],[1,12,27,42,18,4,4,32,1,21,27,9,54,27,4,3,21,
54,9,54,27,18,6,54,18,54,18,12,24,4,12,24,36,28,12,96,3,18,3,9,6,27,27,21,54,
27,9,18,9,27,9,18,27,27,9,9,18,9,9,18,18,18,18,54,18,27,18,27,36,18,36,36,16,
12,4,12,12,12,12,12,24,24,1,4,8,36,12,12,12,36,12,1,8,24,9,1,9,9,3,9,3,18,18,
9,9,27,9,27,9,9,27,27,9,9,18,9,9,9,3,3,9,9,18,9,9,9,9,9,9,18,18,16,16,16,12,
12,12,4,12,12,12,3,6,1,3,6,12,12,4,24,9,12,12,12,12,7,3,24,24,9,9,9,3,3,9,9,9,
9,9,9,9,9,9,9,4,16,4,12,3,1,3,3,3,3,3,6,6,1,2,12,9,3,3,3,9,3,9,4,4,4,4,4,4,3,
3,3,1,3,3,3,3,3,1,6,3,3,3,3,4,1,4,3,3,1,1,1,1],[1,18,81,8,32,6,81,162,2,6,54,
54,54,36,6,18,72,8,72,96,54,6,54,81,18,54,54,54,9,18,9,54,54,108,36,36,36,16,
24,72,72,8,24,24,24,2,16,24,9,6,18,54,54,18,18,54,54,9,9,1,6,18,18,18,9,18,9,
18,9,32,16,24,24,24,18,8,24,24,24,2,18,48,24,18,9,6,18,18,18,9,18,9,8,16,6,24,
18,18,2,6,6,6,2,9,8,8,8,6,6,6,2,6,6,6,6,1,8,6,2,1,1],[1,12,27,18,42,8,32,3,9,
27,27,18,39,2,3,9,36,9,54,75,18,18,18,6,54,54,48,4,12,12,24,52,96,9,18,3,9,18,
9,27,9,18,27,9,12,27,9,9,36,9,27,9,27,18,9,9,18,54,6,18,18,18,39,18,27,72,18,
36,36,16,12,12,12,12,24,8,12,12,12,36,48,2,16,24,24,24,9,3,9,9,9,9,9,18,18,3,
9,9,9,9,9,9,27,9,27,9,18,9,9,9,1,3,3,9,36,9,27,9,9,9,9,18,18,16,16,16,12,12,
12,12,6,12,12,12,4,12,4,12,24,12,12,1,3,3,13,48,24,9,9,9,3,9,9,9,3,9,9,9,9,9,
9,9,8,16,3,12,3,3,3,6,2,3,3,3,9,12,2,6,6,12,9,4,4,4,4,8,3,3,3,3,3,3,1,3,1,3,6,
3,3,6,1,4,4,3,3,1,1,1,1],[1,6,45,36,12,8,32,18,9,36,36,6,2,18,18,36,36,6,18,
36,6,36,108,36,18,24,48,24,48,8,96,18,18,36,18,36,18,36,9,6,18,18,9,18,9,36,
36,36,36,36,12,36,36,36,6,18,36,36,36,36,16,24,24,24,8,24,24,24,2,16,24,48,48,
9,6,18,18,18,18,18,18,18,18,18,9,36,36,18,9,9,1,6,18,9,18,9,36,36,32,16,6,12,
24,24,24,24,24,8,24,6,12,2,48,24,18,9,6,18,18,18,18,9,9,8,16,6,6,6,2,6,6,6,2,
12,12,24,9,8,8,8,6,6,6,2,6,6,6,6,1,8,6,2,1,1],[1,6,45,24,8,32,9,36,2,18,36,18,
6,18,108,36,24,48,96,32,96,9,6,18,9,9,36,36,36,36,18,18,36,6,18,36,36,18,18,
16,24,8,24,2,16,24,96,18,9,18,1,18,9,18,18,18,36,36,16,32,6,24,12,48,24,24,24,
9,9,9,6,18,8,16,6,2,6,2,24,9,8,6,6,6,2,1,6,1,2,1],[1,6,45,24,8,32,9,36,2,18,
36,18,6,18,108,36,24,48,96,96,32,9,6,18,9,9,36,36,36,36,36,18,18,6,18,36,18,
18,36,16,24,8,24,2,16,24,96,18,9,18,1,18,9,18,18,18,36,36,16,32,6,24,12,48,24,
24,24,9,9,9,6,18,8,16,6,2,6,2,24,9,8,6,6,6,2,1,6,1,2,1],[1,6,45,8,32,9,36,2,
18,36,18,6,18,72,24,48,96,9,6,18,9,9,36,36,36,36,36,16,24,8,24,2,16,24,18,9,
18,1,18,9,18,16,6,24,12,48,24,9,9,9,8,16,6,2,6,2,9,8,6,6,1,1,1],[1,6,45,8,32,
9,36,2,18,36,18,6,18,72,24,48,96,9,6,18,9,9,36,36,36,36,36,16,24,8,24,2,16,24,
18,9,18,1,18,9,18,16,6,24,12,48,24,9,9,9,8,16,6,2,6,2,9,8,6,6,1,1,1],[1,6,9,
36,12,12,8,32,9,36,2,18,36,18,6,18,18,18,18,18,72,24,48,48,16,16,48,96,9,6,18,
9,9,18,18,36,36,36,18,18,18,18,3,3,9,9,18,18,18,18,18,18,16,24,8,24,2,16,24,
48,48,18,9,18,1,18,9,9,9,9,9,18,18,18,18,18,16,16,16,6,24,12,48,12,12,24,12,
12,9,9,9,3,3,9,9,8,16,6,2,6,2,12,12,9,8,6,3,3,6,1,1,1,3,3,1,1,1,1],[1,20,75,
10,75,5,75,7,12,12,50,10,50,25,45,7,45,60,60,50,5,10,45,5,15,25,6,10,10,10,5,
12,6,1,5,10,6,5,5,1,1],[1,20,75,10,5,75,75,7,12,12,50,10,50,25,45,7,45,60,60,
50,5,10,5,45,15,25,6,10,10,10,5,12,6,1,10,5,6,5,5,1,1],[1,18,9,18,4,8,4,16,8,
27,9,27,12,18,6,6,36,18,36,18,12,18,36,6,6,12,27,4,8,2,16,16,16,16,4,16,4,4,
16,4,4,9,18,9,18,27,27,18,18,12,12,24,2,12,18,9,6,6,12,12,2,12,18,6,1,6,24,12,
12,12,12,12,12,12,12,9,27,4,8,4,16,8,9,6,18,3,9,9,6,18,1,3,12,4,4,6,2,2,6,12,
6,6,2,4,2,12,9,3,1,6,3,1,1,2,3,6,2,2,1,2,3,1,1,1,1,1],[1,36,18,81,4,8,4,16,8,
108,162,81,24,36,12,72,108,72,36,24,216,12,108,432,216,81,4,8,2,16,16,16,16,4,
16,4,4,16,4,4,36,72,216,108,108,216,108,24,24,48,4,24,36,36,18,24,24,72,2,18,
48,144,144,24,24,144,144,36,144,36,24,36,144,36,36,108,4,8,4,16,8,36,24,72,36,
12,36,144,36,36,18,72,36,36,36,24,8,8,12,4,12,24,24,12,4,12,48,24,18,36,1,24,
12,24,4,24,12,12,4,2,1,12,4,2,1,1],[1,18,9,18,4,8,4,16,8,27,27,81,12,18,6,6,
36,18,36,18,12,18,36,6,6,12,81,4,8,2,16,16,16,16,4,16,4,4,16,4,4,9,18,9,27,27,
54,54,18,12,12,24,2,12,18,9,6,6,12,12,2,12,18,6,1,6,24,12,12,12,12,12,12,12,
12,27,27,4,8,4,16,8,9,6,18,3,9,9,6,18,3,9,12,4,4,6,2,2,6,12,6,6,2,4,2,12,9,9,
1,6,3,1,1,3,6,6,6,2,1,2,3,3,1,1,1,1],[1,18,81,18,18,4,8,4,16,8,81,108,81,81,
12,36,108,36,12,216,36,12,36,12,108,432,216,36,12,12,36,81,4,8,2,16,16,16,16,
4,16,4,4,16,4,4,108,108,108,36,36,36,108,108,108,108,12,12,24,2,18,36,12,12,
72,18,24,144,144,12,12,144,144,24,24,36,18,12,2,12,144,24,24,18,12,36,2,12,36,
12,12,144,36,36,108,4,8,4,16,8,18,18,72,18,12,36,18,18,18,36,12,36,18,12,72,
18,18,18,72,18,18,18,18,18,12,4,4,12,12,24,12,12,4,4,12,48,24,12,4,12,4,18,18,
18,1,12,12,12,4,12,12,12,12,12,12,2,1,2,2,12,1,4,1,1,1],[1,18,81,4,8,4,16,8,
81,81,81,12,36,108,36,12,216,108,432,216,81,4,8,2,16,16,16,16,4,16,4,4,16,4,4,
108,108,12,12,24,2,18,36,72,18,24,144,144,12,12,144,144,36,144,36,36,144,36,
36,4,8,4,16,8,18,18,72,18,18,18,18,18,18,18,18,18,36,36,12,4,4,12,12,24,12,48,
24,18,1,12,12,2,1,1,1,1,1],[1,18,81,18,4,8,4,16,8,81,81,81,12,36,108,36,12,
216,36,12,108,432,216,36,12,81,4,8,2,16,16,16,16,4,16,4,4,16,4,4,108,108,108,
108,12,12,24,2,18,36,12,72,18,24,144,144,12,12,144,144,36,18,2,144,24,24,12,
36,12,36,12,144,36,36,4,8,4,16,8,18,18,72,18,18,18,18,18,18,72,18,18,18,18,18,
36,12,4,4,12,12,24,12,4,12,48,24,12,4,18,18,1,12,12,12,12,2,1,2,1,1,1,1],[1,
18,81,18,4,8,4,16,8,81,81,81,12,36,108,36,12,216,12,36,108,432,216,12,36,81,4,
8,2,16,16,16,16,4,16,4,4,16,4,4,108,108,108,108,12,12,24,2,18,36,12,72,18,24,
144,144,12,12,144,144,24,24,36,12,12,144,18,36,2,36,12,144,36,36,4,8,4,16,8,
18,18,72,18,18,18,18,18,72,18,18,18,18,18,18,36,12,4,4,12,12,24,12,4,12,48,24,
12,4,18,18,1,12,12,12,12,2,1,2,1,1,1,1],[1,18,81,18,4,8,4,16,8,81,81,81,12,36,
108,36,12,216,108,36,12,432,36,216,12,81,4,8,2,16,16,16,16,4,16,4,4,16,4,4,
108,108,108,108,12,12,24,2,18,36,72,18,12,24,144,144,12,12,144,144,36,12,144,
36,12,18,12,24,36,2,144,24,36,36,4,8,4,16,8,18,18,72,18,18,18,18,18,18,36,18,
18,18,72,36,12,4,4,12,12,24,12,12,4,48,24,4,12,18,18,1,12,12,12,12,2,1,2,1,1,
1,1],[1,18,81,18,4,8,4,16,8,81,81,81,12,36,108,36,12,216,108,36,12,432,36,216,
12,81,4,8,2,16,16,16,16,4,16,4,4,16,4,4,108,108,108,108,12,12,24,2,18,36,72,
18,12,24,144,144,12,12,144,144,36,12,144,36,12,18,12,24,36,2,144,24,36,36,4,8,
4,16,8,18,18,72,18,18,18,18,18,18,36,18,18,18,72,36,12,4,4,12,12,24,12,12,4,
48,24,4,12,18,18,1,12,12,12,12,2,1,2,1,1,1,1],[1,18,81,36,4,8,4,16,8,81,54,54,
162,36,12,12,108,36,36,216,36,72,12,108,12,24,432,216,81,4,8,2,16,16,16,16,4,
16,4,4,16,4,4,18,108,54,36,108,54,108,18,36,108,216,24,36,18,12,12,24,24,4,24,
72,36,12,2,18,12,144,144,24,24,144,24,144,36,144,36,24,36,144,24,24,36,36,54,
54,4,8,4,16,8,36,18,18,18,12,36,36,6,18,72,72,36,12,36,6,18,72,36,36,36,12,4,
4,12,12,24,12,12,4,8,4,12,48,24,24,9,9,36,1,12,12,2,6,12,12,6,12,12,2,24,2,4,
1,6,6,2,1,2,2,1],[1,18,81,4,8,4,16,8,81,9,81,36,12,108,36,216,12,108,432,216,
81,4,8,2,16,16,16,16,4,16,4,4,16,4,4,18,108,54,108,18,54,24,36,18,24,24,72,2,
18,144,144,144,144,36,144,36,24,36,144,36,36,54,54,4,8,4,16,8,36,9,18,9,72,1,
9,36,12,4,12,24,12,4,12,48,24,9,9,1,12,2,6,12,2,6,2,1,6,6,1,1,1,1],[1,9,18,18,
4,8,4,16,8,27,9,27,18,6,6,18,18,18,36,6,6,36,12,12,36,12,27,4,8,2,16,16,16,16,
4,16,4,4,16,4,4,18,18,27,9,18,27,9,18,12,9,6,6,12,12,2,12,18,6,1,6,12,12,12,
12,12,12,12,18,12,24,2,24,12,12,27,9,4,8,4,16,8,9,9,9,18,3,6,1,3,18,6,6,2,2,6,
6,6,2,4,2,12,4,12,4,12,9,3,1,6,2,3,6,1,2,3,1,1,2,2,3,1,1,1,1,1],[1,18,81,18,4,
8,4,16,8,81,81,81,36,12,108,36,216,12,36,12,108,432,216,12,36,81,4,8,2,16,16,
16,16,4,16,4,4,16,4,4,108,108,108,108,24,36,12,18,24,24,72,2,18,144,144,144,
144,24,24,36,12,12,144,18,36,2,24,36,12,144,36,36,4,8,4,16,8,36,18,18,18,72,
72,18,18,18,18,36,18,18,36,12,4,12,24,12,4,12,4,12,48,24,12,4,18,18,1,12,12,
12,12,2,1,2,1,1,1,1],[1,18,81,18,4,8,4,16,8,81,81,81,36,12,108,36,216,36,12,
12,108,432,216,36,12,81,4,8,2,16,16,16,16,4,16,4,4,16,4,4,108,108,108,108,24,
36,12,18,24,24,72,2,18,144,144,144,144,36,18,2,144,24,24,12,36,12,24,36,12,
144,36,36,4,8,4,16,8,36,18,18,18,72,18,18,72,18,18,36,18,18,36,12,4,12,24,12,
4,12,4,12,48,24,12,4,18,18,1,12,12,12,12,2,1,2,1,1,1,1],[1,18,81,36,4,8,4,16,
8,81,108,162,36,12,108,36,216,12,108,72,24,432,72,216,24,81,4,8,2,16,16,16,16,
4,16,4,4,16,4,4,108,108,108,36,72,216,216,24,36,18,24,24,72,2,18,24,144,144,
144,144,36,24,144,36,24,24,36,24,48,36,4,144,48,36,36,108,4,8,4,16,8,36,18,36,
72,12,36,36,36,72,36,24,36,36,144,12,4,12,24,12,4,12,24,8,48,24,8,24,18,36,1,
12,12,24,12,4,24,24,2,1,4,12,1,4,2,1],[1,18,81,4,8,4,16,8,81,162,36,12,108,36,
216,12,108,432,216,81,4,8,2,16,16,16,16,4,16,4,4,16,4,4,108,108,24,36,18,24,
24,72,2,18,144,144,144,144,36,144,36,24,36,144,36,36,4,8,4,16,8,36,18,72,36,
36,36,36,36,36,12,4,12,24,12,4,12,48,24,18,1,12,12,2,1,1,1,1,1],[1,9,18,18,4,
8,4,16,8,27,81,27,18,6,6,18,18,18,36,6,6,36,12,12,36,12,81,4,8,2,16,16,16,16,
4,16,4,4,16,4,4,54,18,27,9,54,27,9,18,12,9,6,6,12,12,2,12,18,6,1,6,12,12,12,
12,12,12,12,18,12,24,2,24,12,12,27,27,4,8,4,16,8,9,9,9,18,3,6,9,3,18,6,6,2,2,
6,6,6,2,4,2,12,4,12,4,12,9,9,1,6,6,3,6,1,6,3,1,1,2,2,3,3,1,1,1,1],[1,81,36,4,
8,4,16,8,162,81,12,108,36,216,36,72,108,12,24,432,216,81,4,8,2,16,16,16,16,4,
16,4,4,16,4,4,108,108,216,36,12,12,24,4,72,36,12,18,12,144,144,24,24,144,24,
144,36,144,36,36,144,24,24,36,36,4,8,4,16,8,36,18,72,36,18,18,72,36,36,36,36,
4,12,12,24,12,4,8,12,48,24,24,18,18,1,12,12,24,4,1,2,1,1],[1,81,36,4,8,4,16,8,
162,81,12,108,36,216,36,72,108,12,24,432,216,81,4,8,2,16,16,16,16,4,16,4,4,16,
4,4,108,108,216,36,12,12,24,4,72,36,12,18,12,144,144,24,24,144,24,144,36,144,
36,36,144,24,24,36,36,4,8,4,16,8,36,18,72,36,18,18,72,36,36,36,36,4,12,12,24,
12,4,8,12,48,24,24,18,18,1,12,12,24,4,1,2,1,1],[1,81,18,18,18,4,8,4,16,8,81,
81,81,108,108,216,36,12,36,12,108,36,12,432,36,216,36,12,12,36,12,81,4,8,2,16,
16,16,16,4,16,4,4,16,4,4,108,108,108,108,108,36,108,108,36,36,36,12,12,72,18,
12,144,144,144,144,24,24,36,18,12,2,12,12,144,24,24,18,12,36,2,12,12,18,12,24,
36,12,12,2,144,24,36,36,108,4,8,4,16,8,18,18,18,72,18,18,18,18,36,12,72,18,36,
18,18,18,12,18,36,18,72,18,18,12,12,24,12,12,4,4,12,12,4,48,24,12,4,12,4,4,12,
18,18,18,1,12,12,12,12,12,12,12,12,12,4,1,2,2,2,12,1,1,1,4,1],[1,81,18,4,8,4,
16,8,81,81,81,108,216,12,36,108,432,216,12,36,81,4,8,2,16,16,16,16,4,16,4,4,
16,4,4,108,108,36,12,72,18,144,144,144,144,24,24,36,12,12,144,18,36,2,36,12,
144,36,36,4,8,4,16,8,18,18,18,72,18,18,18,18,36,18,18,36,36,12,24,12,4,12,48,
24,12,4,18,1,12,12,1,2,1,1,1,1],[1,81,36,4,8,4,16,8,81,162,108,216,24,72,108,
432,216,24,72,81,4,8,2,16,16,16,16,4,16,4,4,16,4,4,216,216,36,24,72,18,144,
144,144,144,48,48,36,24,24,144,36,36,4,36,24,144,36,36,4,8,4,16,8,36,18,144,
36,36,36,36,36,36,12,24,24,8,12,48,24,24,8,36,1,24,24,1,4,2,1,1],[1,81,18,18,
4,8,4,16,8,81,81,81,108,216,12,36,108,36,12,432,36,216,12,36,12,81,4,8,2,16,
16,16,16,4,16,4,4,16,4,4,108,108,108,108,36,12,72,18,12,144,144,144,144,24,24,
36,12,12,12,144,18,36,2,12,18,12,24,36,12,2,144,24,36,36,4,8,4,16,8,18,18,18,
72,18,18,18,18,18,18,18,18,72,18,18,36,12,24,12,4,12,12,4,48,24,12,4,4,12,18,
18,1,12,12,12,12,1,2,2,1,1,1,1],[1,81,36,4,8,4,16,8,81,162,108,216,72,24,108,
432,216,72,24,81,4,8,2,16,16,16,16,4,16,4,4,16,4,4,216,216,36,24,72,18,144,
144,144,144,36,36,4,144,48,48,24,36,24,36,24,144,36,36,4,8,4,16,8,36,18,36,
144,36,36,36,36,36,12,24,24,8,12,48,24,24,8,36,1,24,24,1,4,2,1,1],[1,81,18,18,
4,8,4,16,8,81,81,81,108,216,36,12,108,36,12,432,36,216,36,12,12,81,4,8,2,16,
16,16,16,4,16,4,4,16,4,4,108,108,108,108,36,12,72,18,12,144,144,144,144,36,18,
2,12,144,24,24,12,36,12,12,18,12,24,36,12,2,144,24,36,36,4,8,4,16,8,18,18,18,
18,18,72,18,18,18,18,18,18,72,18,18,36,12,24,12,4,12,12,4,48,24,12,4,4,12,18,
18,1,12,12,12,12,1,2,2,1,1,1,1],[1,81,18,4,8,4,16,8,81,81,81,108,216,36,12,
108,432,216,36,12,81,4,8,2,16,16,16,16,4,16,4,4,16,4,4,108,108,36,12,72,18,
144,144,144,144,36,18,2,144,24,24,12,36,12,36,12,144,36,36,4,8,4,16,8,18,18,
18,18,18,36,72,18,18,18,18,36,36,12,24,12,4,12,48,24,12,4,18,1,12,12,1,2,1,1,
1,1],[1,81,18,4,8,4,16,8,81,81,81,108,216,108,36,12,432,36,216,12,81,4,8,2,16,
16,16,16,4,16,4,4,16,4,4,108,108,36,72,18,12,144,144,144,144,36,12,144,36,12,
18,12,24,36,2,144,24,36,36,4,8,4,16,8,18,18,18,18,18,18,18,18,18,72,18,18,36,
36,12,24,12,12,4,48,24,4,12,18,1,12,12,1,2,1,1,1,1],[1,81,4,8,4,16,8,81,162,
108,216,108,432,216,81,4,8,2,16,16,16,16,4,16,4,4,16,4,4,36,72,18,144,144,144,
144,36,144,36,36,144,36,36,4,8,4,16,8,36,18,36,36,36,72,36,12,24,12,48,24,36,
1,1,2,1,1],[1,81,4,8,4,16,8,81,162,108,216,108,432,216,81,4,8,2,16,16,16,16,4,
16,4,4,16,4,4,36,72,18,144,144,144,144,36,144,36,36,144,36,36,4,8,4,16,8,36,
18,36,36,36,72,36,12,24,12,48,24,36,1,1,2,1,1],[1,81,4,8,4,16,8,81,108,216,
108,432,216,81,4,8,2,16,16,16,16,4,16,4,4,16,4,4,36,72,18,144,144,144,144,36,
144,36,36,144,36,36,4,8,4,16,8,18,36,36,12,24,12,48,24,18,1,1,1,1],[1,81,4,8,
4,16,8,81,108,216,108,432,216,81,4,8,2,16,16,16,16,4,16,4,4,16,4,4,36,72,18,
144,144,144,144,36,144,36,36,144,36,36,4,8,4,16,8,18,36,36,12,24,12,48,24,18,
1,1,1,1],[1,45,30,40,45,30,90,45,45,36,120,40,120,90,45,30,45,45,10,36,30,120,
45,40,10,36,30,30,30,20,10,30,12,10,12,1,1],[1,45,40,30,45,90,36,120,45,45,45,
10,36,30,45,10,36,30,20,10,12,10,1,1],[1,45,36,40,30,45,90,36,120,45,45,45,10,
36,36,36,30,45,10,36,30,10,12,10,1,1],[1,15,45,15,20,20,45,45,15,45,15,45,45,
36,60,20,60,60,60,20,45,15,45,15,45,45,45,10,36,60,15,15,60,45,20,10,20,36,15,
15,15,15,15,15,10,10,10,15,15,6,6,10,6,6,1,1],[1,45,30,20,20,15,15,45,135,45,
36,60,60,20,60,60,20,45,45,15,15,45,45,45,10,36,60,15,15,60,45,20,10,20,36,15,
15,15,15,15,15,10,10,10,15,15,6,6,10,6,6,1,1],[1,45,46,20,20,15,15,45,135,45,
36,60,60,20,60,60,20,45,15,45,15,45,45,45,10,36,36,36,60,15,15,60,45,10,10,10,
36,15,15,15,15,15,15,10,10,10,15,15,6,6,10,6,6,1,1],[1,15,45,15,20,20,45,45,
15,45,15,45,45,36,60,20,60,60,60,20,45,15,45,15,45,45,45,10,36,60,15,15,60,45,
20,10,20,36,15,15,15,15,15,15,10,10,10,15,15,6,6,10,6,6,1,1],[1,45,46,20,20,
15,15,45,135,45,36,60,20,60,60,20,60,45,45,15,15,45,45,45,10,36,36,36,60,15,
15,60,45,10,10,10,36,15,15,15,15,15,15,10,10,10,15,15,6,6,10,6,6,1,1],[1,45,
30,20,20,15,15,45,135,45,36,60,20,60,60,20,60,45,15,45,15,45,45,45,10,36,60,
15,15,60,45,10,20,20,36,15,15,15,15,15,15,10,10,10,15,15,6,6,10,6,6,1,1],[1,
45,30,40,45,30,90,45,45,36,120,40,120,90,45,30,45,45,10,36,30,120,45,40,10,36,
30,30,30,20,10,30,12,10,12,1,1],[1,45,36,40,30,45,90,36,120,45,45,45,10,36,36,
36,30,45,10,36,30,10,12,10,1,1],[1,45,40,30,45,90,36,120,45,45,45,10,36,30,45,
10,36,30,20,10,12,10,1,1],[1,15,45,15,20,20,45,45,15,45,15,45,45,36,20,60,60,
60,60,20,45,15,45,15,45,45,45,10,36,60,15,15,60,45,20,10,20,36,15,15,15,15,15,
15,10,10,10,15,15,6,6,10,6,6,1,1],[1,46,45,20,20,15,45,45,15,45,45,45,36,20,
60,60,20,60,60,15,45,45,15,45,45,45,10,36,36,36,60,15,60,15,45,10,10,10,36,15,
15,15,15,15,15,10,10,10,15,15,6,6,10,6,6,1,1],[1,45,15,15,20,20,15,45,45,15,
45,45,45,36,20,60,60,60,60,20,45,45,15,15,45,45,45,10,36,60,15,15,60,45,20,10,
20,36,15,15,15,15,15,15,10,10,10,15,15,6,6,10,6,6,1,1],[1,18,45,40,1,10,20,60,
45,30,5,60,45,90,6,15,10,1,15,10,30,40,20,10,30,40,60,60,45,60,90,15,45,10,18,
6,18,15,5,15,15,15,15,15,10,30,30,30,30,5,10,40,60,60,6,45,10,10,10,10,10,10,
10,18,24,15,15,15,5,15,15,15,15,30,20,30,6,6,6,5,10,10,10,10,10,10,10,18,15,
15,1,6,6,6,5,5,5,10,3,4,6,5,1,3,1,1,1,1],[1,18,45,4,10,80,1,45,45,5,45,30,6,
60,30,10,30,15,15,45,40,18,6,18,20,1,10,20,30,30,5,40,120,24,5,40,6,18,18,15,
10,15,24,20,10,6,5,5,10,1,6,10,3,6,5,4,1,1],[1,18,45,14,80,45,6,90,30,6,90,10,
30,30,45,40,18,6,18,30,30,30,6,60,120,24,5,40,18,6,18,30,10,24,30,6,10,10,1,6,
10,3,6,5,4,1,1],[1,18,45,40,11,20,45,60,5,45,90,90,6,45,11,45,50,50,20,60,60,
15,45,45,60,90,10,18,6,18,15,45,15,5,15,45,45,5,10,50,90,60,6,45,20,10,20,10,
10,18,24,15,15,15,15,5,45,15,15,20,30,6,6,6,5,20,10,20,10,10,18,15,15,1,6,6,6,
5,5,5,10,3,4,6,5,1,3,1,1,1,1],[1,40,18,45,11,20,90,90,5,60,45,45,6,50,45,11,
50,45,20,60,60,60,45,90,15,45,10,18,6,18,45,50,90,5,15,45,45,15,15,60,5,10,6,
45,20,10,20,10,10,18,24,15,45,15,5,15,15,15,20,15,30,6,6,6,20,20,10,10,10,5,
18,15,15,1,6,6,6,10,5,5,5,4,3,6,5,1,3,1,1,1,1],[1,18,45,14,80,6,45,90,30,6,90,
10,30,30,45,40,18,6,18,30,30,30,6,60,120,24,5,40,6,18,18,10,30,24,30,6,10,10,
1,6,10,3,6,5,4,1,1],[1,18,45,10,4,80,5,45,45,1,45,30,6,30,10,30,60,15,15,45,
40,18,6,18,10,30,30,5,20,40,1,20,120,24,5,40,18,6,18,10,15,15,24,10,20,6,5,5,
10,1,6,10,3,6,5,4,1,1],[1,18,45,40,10,1,20,5,45,45,60,60,30,90,6,30,40,10,30,
40,15,10,20,1,15,10,60,60,15,60,45,45,90,10,18,6,18,30,30,30,40,60,5,5,10,15,
15,15,15,15,15,10,30,60,6,45,10,10,10,10,10,10,10,18,24,30,15,20,15,5,15,30,
15,15,15,15,6,6,6,10,10,10,10,10,10,10,5,18,15,15,1,6,6,6,10,5,5,5,3,4,6,5,1,
3,1,1,1,1],[1,14,45,2,2,30,45,30,9,45,1,10,6,30,10,6,30,45,45,45,1,9,1,9,10,
30,30,30,30,10,2,2,45,5,1,5,9,9,9,6,6,30,30,2,6,6,2,6,6,10,5,10,1,5,9,9,9,1,2,
6,6,6,6,2,5,5,5,9,1,1,1,6,6,5,2,1,2,1,1,1,1,1,1],[1,18,18,81,42,2,6,16,16,45,
54,54,162,3,18,81,81,63,1,3,54,27,27,162,6,18,14,6,18,54,42,54,24,48,10,90,24,
48,144,144,18,27,54,81,6,18,54,54,18,162,18,54,27,3,27,27,18,54,9,81,27,27,27,
8,1,16,8,16,6,18,18,36,54,6,6,2,18,6,54,18,54,18,54,18,54,18,42,54,108,6,36,
90,54,36,2,6,18,18,1,4,4,24,72,144,27,18,54,9,27,54,54,27,27,27,27,6,9,8,14,
16,8,8,24,24,24,24,1,9,48,48,32,24,48,6,2,6,18,18,18,18,6,6,54,18,54,18,6,18,
18,18,18,6,18,18,18,18,6,6,18,18,54,18,54,18,18,18,18,18,6,12,18,6,18,9,36,6,
18,18,18,1,6,9,12,36,36,4,27,6,18,3,6,18,3,6,2,1,4,18,3,9,9,3,3,8,24,24,7,18,
48,24,24,24,24,2,4,24,6,18,18,6,18,18,18,18,18,18,18,18,18,18,18,9,6,18,36,18,
9,9,8,4,8,4,4,6,2,2,4,6,3,6,6,6,6,6,9,18,6,3,3,3,6,3,6,2,2,6,6,6,6,1,3,12,12,
9,3,3,24,6,2,6,12,18,9,1,8,4,8,4,4,6,3,6,2,6,6,1,6,12,3,6,3,3,3,3,6,6,6,6,6,2,
1,2,1,1,4,3,6,2,1,2,1,1,1],[1,18,12,27,24,6,2,6,16,16,45,54,18,54,27,27,1,9,
27,27,27,18,9,54,54,6,6,2,6,18,18,6,42,42,48,6,18,6,30,2,48,27,27,6,27,54,54,
27,9,27,27,27,27,6,9,27,54,8,1,16,8,16,6,6,18,36,18,2,18,18,18,18,6,18,54,18,
6,2,36,18,18,36,6,1,4,4,18,36,18,6,18,9,27,27,27,27,9,9,6,3,8,2,16,24,24,1,3,
6,2,24,24,8,16,2,18,18,18,18,6,6,6,12,9,18,6,36,18,6,12,6,18,2,18,4,9,6,6,3,6,
6,2,1,4,3,3,6,6,24,1,1,3,3,1,6,6,2,4,24,6,9,9,9,6,8,4,8,2,2,4,3,6,3,3,6,3,6,6,
1,2,3,3,3,3,6,1,3,6,6,2,4,9,1,4,4,4,6,1,3,3,3,3,1,1,6,2,1,2,4,1,1,1,1,1],[1,
18,12,27,6,36,2,6,16,16,45,54,18,54,27,9,18,1,27,54,72,54,54,6,6,2,6,18,18,6,
42,24,48,6,18,36,36,48,27,27,6,54,54,108,9,27,27,27,27,54,18,54,8,1,16,8,16,6,
6,18,36,18,2,18,18,18,18,6,18,36,18,18,6,2,18,36,18,42,1,4,4,36,36,9,27,27,27,
27,27,27,6,3,8,2,16,24,24,1,3,12,24,24,8,48,2,18,18,18,18,6,6,6,12,9,36,18,18,
18,6,18,6,18,6,12,4,27,6,6,3,6,6,2,1,4,3,3,6,6,24,1,6,6,6,6,2,4,24,6,9,9,9,18,
8,4,8,2,2,4,3,6,3,6,12,6,6,1,6,3,3,3,3,6,6,6,6,2,12,9,1,4,4,4,6,1,3,3,3,3,3,3,
6,2,1,2,4,3,1,1,1,1],[1,42,18,81,18,6,16,2,16,117,162,54,162,1,18,81,27,27,3,
3,18,81,27,54,38,54,6,10,66,90,18,48,18,48,144,6,54,144,18,81,54,81,18,18,162,
54,6,54,18,54,9,3,27,27,18,54,27,27,27,27,27,8,8,1,16,16,54,18,66,180,54,2,6,
6,6,6,90,90,18,18,54,54,18,18,18,54,36,144,1,4,2,4,54,18,6,6,54,18,27,18,54,
27,27,54,54,9,27,27,27,32,14,16,8,32,24,24,9,6,24,8,24,1,9,48,48,48,6,6,6,90,
18,54,18,2,6,54,54,18,18,6,6,18,6,18,6,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,6,12,6,9,1,9,12,36,6,6,18,36,18,18,18,18,4,27,18,32,48,24,18,7,18,18,
48,24,24,2,1,4,6,3,6,3,9,3,9,3,3,6,24,2,4,6,18,18,18,18,18,18,6,18,18,18,18,
18,18,18,9,6,18,36,9,9,18,8,8,4,4,4,6,6,6,9,6,18,6,24,2,2,4,6,9,6,6,2,2,6,6,6,
6,3,1,3,12,12,6,3,6,3,3,3,3,3,6,2,6,12,18,9,8,4,8,4,4,1,6,3,6,3,6,3,6,2,6,6,1,
12,3,6,6,6,6,3,3,6,4,2,2,1,1,1,3,6,2,1,2,1,1,1],[1,6,12,27,24,18,6,16,2,16,9,
18,54,1,27,27,27,9,27,27,18,45,54,54,54,2,42,6,6,30,18,42,48,6,6,48,6,18,2,18,
6,27,9,27,6,54,9,6,27,27,27,27,27,54,27,27,54,8,8,1,16,16,6,6,18,2,6,36,18,36,
18,18,54,18,18,36,1,4,2,4,18,18,18,18,6,6,6,18,18,18,36,9,27,27,9,9,27,27,8,2,
16,24,24,3,6,24,24,8,1,3,2,6,16,2,18,18,6,6,18,18,36,6,12,9,6,6,6,2,12,18,18,
18,18,4,9,24,6,1,6,2,1,4,6,3,3,6,6,3,6,24,1,1,3,3,6,6,2,4,6,9,9,9,6,8,4,8,2,2,
4,3,6,1,3,6,6,1,2,3,3,3,3,3,6,3,3,6,6,6,2,4,9,4,4,4,1,6,1,3,3,1,1,3,3,6,4,2,1,
2,1,1,1,1,1],[1,6,12,27,54,6,16,2,16,9,18,54,1,27,27,45,18,72,54,108,54,2,42,
30,6,30,18,18,48,6,36,6,18,12,48,27,54,6,54,9,18,54,27,27,27,54,54,108,8,8,1,
16,16,6,6,18,2,42,18,36,18,18,18,36,18,18,36,1,4,2,4,18,18,18,18,6,6,36,36,9,
27,27,27,27,27,27,8,2,16,24,24,3,24,6,24,8,1,3,12,48,2,18,18,6,6,18,36,18,6,
12,9,6,18,6,6,12,18,18,18,18,4,27,24,6,1,6,2,1,4,6,3,3,6,6,24,3,6,6,6,6,6,2,4,
6,9,9,9,18,8,4,8,2,2,4,3,6,6,6,6,1,6,3,3,3,3,3,6,6,12,6,6,2,12,9,4,4,4,1,6,1,
3,3,3,3,3,3,6,4,2,1,2,3,1,1,1,1],[1,36,12,27,36,6,16,2,16,72,54,1,18,27,27,18,
18,9,54,27,54,36,42,24,6,36,18,6,48,36,6,18,12,48,18,27,54,54,54,9,18,27,27,
27,27,27,54,8,8,1,16,16,42,36,36,2,6,36,36,18,18,18,18,1,4,2,4,18,18,18,18,6,
6,36,36,27,27,27,27,9,27,27,24,12,8,24,3,24,24,8,1,3,12,48,48,6,36,18,18,6,18,
18,18,6,9,6,12,18,6,6,12,18,18,18,18,4,27,6,24,6,6,2,1,4,6,3,3,6,6,24,1,6,3,6,
2,4,18,9,9,9,18,8,4,8,6,3,6,6,6,2,6,6,1,6,12,3,3,3,3,3,6,6,6,2,12,9,4,4,4,1,3,
3,3,6,1,3,3,3,6,4,2,1,2,3,1,1,1,1],[1,36,12,27,6,18,6,16,2,16,72,54,1,18,27,
27,9,54,18,45,54,54,54,36,42,6,36,18,24,6,48,6,48,6,18,2,18,6,18,27,54,54,54,
108,9,6,27,27,27,27,27,54,8,8,1,16,16,42,36,36,2,6,18,18,18,18,36,36,1,4,2,4,
18,18,18,18,6,6,6,18,18,18,36,27,27,27,9,27,27,27,24,12,8,24,3,24,24,8,1,3,2,
6,48,16,6,18,18,36,6,18,18,18,6,9,6,12,6,6,2,12,18,18,18,18,4,27,6,24,6,6,2,1,
4,6,3,3,6,6,24,1,6,3,6,6,6,2,4,18,9,9,9,6,8,4,8,6,3,6,6,6,12,2,6,6,1,2,12,3,3,
3,3,3,6,6,6,2,4,9,4,4,4,1,3,3,3,6,1,3,3,3,6,4,2,1,2,3,1,1,1,1],[1,18,81,6,16,
2,16,1,81,27,3,12,81,108,54,54,10,90,18,144,6,54,144,9,3,27,27,108,27,81,27,
27,27,8,8,1,16,16,2,6,42,90,18,54,54,1,4,2,4,54,18,6,6,54,18,9,27,27,27,27,27,
27,32,24,9,24,8,24,1,9,48,48,6,6,18,18,18,54,18,9,1,9,36,6,6,18,36,18,18,18,
18,4,27,24,2,1,4,3,3,9,3,9,3,24,1,9,6,2,4,18,9,9,9,18,4,4,4,2,6,6,3,1,3,12,3,
3,3,3,9,3,9,3,6,2,6,12,9,4,4,4,1,6,3,1,3,3,3,3,3,6,4,1,1,1,3,1,1,1,1],[1,18,
81,42,18,6,16,2,16,1,81,27,54,18,3,3,63,81,27,54,45,162,162,54,54,24,10,90,24,
18,144,42,48,6,54,14,18,6,48,144,9,18,3,27,6,27,81,27,27,81,27,54,27,27,54,18,
18,162,54,18,18,54,54,8,8,1,16,16,2,6,36,6,90,18,54,36,18,24,72,1,4,2,4,54,18,
54,18,18,6,6,6,54,18,54,18,18,6,42,108,54,144,18,54,36,27,27,9,18,54,27,27,27,
27,54,54,32,24,9,24,24,8,8,24,24,8,1,9,14,6,48,48,48,16,6,6,18,18,18,36,18,18,
9,6,1,9,6,36,18,6,6,6,18,6,2,12,36,12,54,18,18,18,54,18,18,18,18,18,18,18,18,
18,54,18,18,18,18,18,6,6,54,18,6,6,18,18,4,27,24,2,1,4,3,3,9,3,9,3,18,6,18,6,
24,24,24,24,24,8,24,7,3,18,18,6,2,4,48,18,9,9,9,6,18,18,18,18,18,6,6,18,36,18,
18,18,18,18,18,18,18,4,4,8,4,8,2,6,6,3,1,3,6,2,12,3,3,6,6,3,3,6,6,9,3,9,3,6,6,
18,6,6,6,24,6,6,2,2,6,6,2,12,12,4,9,18,4,8,4,4,8,1,6,3,6,3,1,6,3,3,6,3,3,6,6,
6,6,6,6,2,6,12,4,1,1,1,2,2,3,6,1,2,1,1,2,1],[1,18,81,2,6,16,16,3,81,81,1,12,
27,108,54,18,6,54,54,10,90,144,144,27,3,27,9,108,81,27,27,27,27,8,1,16,8,16,6,
2,6,54,54,18,18,6,90,54,2,42,18,54,1,4,4,27,27,27,9,27,27,27,9,8,24,24,1,9,48,
32,24,48,6,18,18,6,18,18,18,18,6,18,9,6,54,18,18,1,9,36,36,4,27,3,2,1,4,3,9,9,
3,3,24,1,9,6,2,4,24,18,18,9,9,9,4,4,4,3,3,3,2,6,6,1,3,12,3,3,9,9,3,3,6,2,6,12,
9,1,4,4,4,3,3,3,6,1,3,3,3,6,1,1,1,4,3,1,1,1,1],[1,18,81,18,42,2,6,16,16,3,81,
81,18,18,1,3,27,27,27,54,117,54,162,162,18,6,54,54,18,10,90,6,66,38,144,48,
144,48,27,18,3,27,18,9,27,27,27,81,81,54,27,27,162,6,18,54,54,18,18,54,54,8,1,
16,8,16,6,2,6,54,54,18,18,6,18,18,90,54,6,6,2,6,18,18,54,90,18,54,1,4,4,18,36,
54,66,54,180,144,27,27,27,18,54,9,27,27,27,54,54,9,8,24,24,1,9,6,14,48,32,24,
32,16,24,8,48,48,6,18,18,6,18,18,18,18,18,6,6,18,18,6,9,18,18,6,18,18,18,6,12,
18,18,18,18,18,18,6,18,54,90,18,18,54,54,2,6,18,18,6,6,18,18,1,9,6,36,36,12,4,
27,3,2,1,4,3,9,9,3,3,6,6,18,18,24,3,7,6,18,18,2,4,48,24,32,24,24,48,18,18,18,
18,18,18,6,18,9,9,9,6,18,18,18,6,18,36,18,18,18,18,4,4,4,8,8,3,3,3,6,6,2,6,6,
1,3,2,6,12,3,3,6,6,3,3,9,9,6,18,6,6,6,6,6,6,2,4,2,6,6,2,12,12,24,18,9,1,4,8,4,
4,8,3,6,3,3,6,6,1,3,6,3,3,6,6,6,6,6,6,2,6,12,1,1,1,2,2,4,3,6,1,2,1,1,2,1],[1,
12,27,36,36,2,6,16,16,18,27,54,18,1,9,18,27,27,72,54,54,6,12,6,18,36,42,6,18,
24,36,36,48,48,27,18,54,9,27,27,27,27,27,54,54,18,54,8,1,16,8,16,6,2,6,18,18,
18,18,36,36,18,18,36,6,2,36,18,18,42,1,4,4,36,36,27,27,27,9,27,27,27,3,12,8,
24,24,1,3,12,48,24,24,8,48,6,18,18,6,18,18,18,9,18,18,18,6,18,36,6,18,6,6,12,
12,4,27,6,2,1,4,6,3,3,6,6,6,6,24,1,3,6,6,2,4,24,18,9,9,9,18,8,4,8,6,3,6,2,6,6,
1,6,12,3,3,3,3,3,6,6,6,6,6,2,12,9,1,4,4,4,3,3,3,6,1,3,3,3,6,2,1,2,4,3,1,1,1,
1],[1,12,27,54,6,2,6,16,16,18,27,72,1,45,27,54,18,9,108,54,54,6,12,6,18,36,42,
18,6,18,30,30,2,48,48,27,18,54,9,54,27,27,27,6,54,54,54,108,8,1,16,8,16,6,2,6,
18,18,18,18,36,36,18,18,42,2,18,36,18,36,6,1,4,4,18,36,18,6,18,27,27,27,9,27,
27,27,3,12,8,24,24,1,3,6,2,48,24,24,8,16,6,18,18,6,18,18,18,9,18,6,18,6,12,6,
18,2,18,36,6,12,4,27,6,2,1,4,6,3,3,6,6,6,6,24,3,6,1,6,6,6,2,4,24,18,9,9,9,6,8,
4,8,6,3,6,2,6,6,1,2,12,3,3,3,3,3,6,6,6,12,6,6,2,4,9,1,4,4,4,3,3,3,6,1,3,3,3,6,
2,1,2,4,3,1,1,1,1],[1,20,75,30,30,10,1,45,75,45,30,55,6,1,45,120,15,50,75,30,
30,90,30,150,90,6,50,30,10,50,30,30,30,15,10,1,15,10,45,75,45,90,75,15,40,45,
45,15,60,45,75,15,45,30,15,15,30,90,10,10,90,30,55,10,75,120,30,60,60,30,6,30,
10,30,10,50,30,30,10,10,10,30,10,50,30,50,30,5,30,60,50,30,50,60,15,5,15,15,
15,15,15,10,30,15,15,45,15,45,15,15,75,45,45,15,30,15,15,15,5,5,15,15,60,15,
45,15,15,15,15,30,30,6,30,18,6,6,18,6,18,18,12,10,10,10,10,10,10,10,25,30,10,
10,10,30,10,10,10,10,10,10,10,10,10,50,30,10,10,30,30,10,10,30,10,10,10,10,10,
15,15,15,15,15,5,15,15,15,15,15,15,15,15,15,15,15,6,6,6,6,18,6,6,30,18,6,6,5,
10,10,10,10,10,10,10,15,5,5,5,25,15,10,10,10,10,10,10,10,10,1,15,6,6,6,6,6,6,
6,5,5,5,10,5,5,5,5,5,3,3,6,5,1,3,1,1,1,5,3,1,1,1,1,1,1,1,1],[1,30,20,75,30,10,
75,90,50,150,6,55,75,120,45,45,1,1,30,45,15,30,30,30,90,6,30,50,30,10,30,50,
30,55,45,120,75,75,10,10,90,30,60,10,90,10,30,40,45,1,15,60,75,75,10,30,45,15,
15,45,45,15,15,45,90,15,15,30,60,30,6,30,30,50,30,60,50,10,10,10,30,10,50,30,
30,10,50,30,30,10,30,50,60,5,60,75,10,30,15,15,45,15,15,45,30,30,15,45,15,15,
5,30,5,45,5,15,15,15,15,15,15,15,15,15,15,45,15,15,15,15,15,6,30,18,6,6,18,6,
18,18,12,10,10,10,30,10,30,10,10,10,50,30,30,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,30,10,30,10,10,10,10,10,15,25,15,15,15,15,15,15,15,15,15,15,15,15,
5,15,15,15,6,6,6,6,18,6,6,30,18,6,6,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,15,25,5,5,5,15,5,1,15,6,6,6,6,6,6,6,10,5,5,5,5,5,5,5,3,5,3,6,5,3,5,1,1,1,1,
3,1,1,1,1,1,1,1,1],[1,45,21,40,20,40,15,15,45,36,45,60,60,45,20,20,10,40,40,
36,15,15,45,15,30,15,30,36,60,60,10,45,15,15,10,36,15,15,10,10,6,6,15,15,10,6,
6,1,1],[1,45,20,21,40,40,15,15,45,36,60,45,60,45,20,10,40,20,40,36,15,15,30,
15,45,15,30,36,60,10,60,15,45,15,10,36,10,15,15,10,6,6,15,15,10,6,6,1,1],[1,
15,30,2,12,40,40,45,5,45,6,30,10,30,30,30,60,10,30,60,45,20,1,40,20,40,6,15,
10,15,45,45,10,5,20,20,30,12,12,15,10,10,20,20,10,30,30,60,20,18,15,45,15,30,
10,12,12,15,10,5,20,15,10,30,10,20,6,10,10,10,1,6,18,15,5,15,30,6,5,10,3,2,2,
6,5,1,3,1,1],[1,24,135,2,12,40,40,135,5,135,6,30,6,90,120,16,180,360,360,45,
20,1,40,20,40,54,6,54,10,90,90,180,10,90,5,20,20,12,12,15,20,60,60,1,15,120,
80,60,120,54,30,45,30,10,12,36,36,12,36,36,10,5,20,15,15,60,10,20,60,6,10,10,
10,1,36,36,30,5,30,6,6,6,5,10,9,2,2,6,5,6,6,1,1],[1,15,30,2,12,40,40,45,5,45,
6,30,30,10,60,40,60,60,45,20,1,40,20,40,6,10,45,15,10,45,15,5,20,20,30,12,12,
15,20,10,20,30,40,20,10,60,18,45,15,15,30,10,12,12,10,5,20,15,15,10,20,30,10,
6,10,10,10,1,18,6,15,15,5,30,6,5,10,3,2,2,6,5,3,1,1,1],[1,30,15,12,40,2,40,45,
5,45,6,40,30,10,60,60,30,60,45,20,20,1,40,40,6,15,30,10,15,45,45,5,20,10,20,
12,12,40,10,20,10,20,30,15,20,60,18,15,45,15,30,10,12,12,15,10,30,10,5,20,15,
10,20,6,10,10,10,1,6,18,15,5,15,30,6,10,5,3,2,2,6,5,1,3,1,1],[1,24,135,12,40,
2,40,5,135,135,6,120,16,180,30,360,6,90,360,45,20,20,1,40,40,54,6,54,10,180,
90,5,20,10,20,90,90,12,12,80,60,15,60,20,60,1,15,120,120,54,30,45,30,10,12,36,
36,12,36,36,60,10,5,20,15,15,60,10,20,6,10,10,10,1,36,36,30,5,30,6,6,6,10,5,9,
2,2,6,5,6,6,1,1],[1,15,30,12,40,2,40,5,45,45,6,30,30,10,30,30,30,60,10,60,45,
20,20,1,40,40,6,10,30,5,20,10,20,45,45,15,15,12,12,20,15,30,10,20,30,10,10,60,
20,18,15,45,15,30,10,12,12,10,5,20,15,15,30,10,10,20,6,10,10,10,1,18,6,15,15,
5,30,6,10,5,3,2,2,6,5,3,1,1,1],[1,9,18,81,42,49,8,32,18,18,54,108,81,6,18,81,
162,42,42,2,6,54,54,54,126,126,54,18,36,108,6,81,324,162,18,72,24,8,72,24,56,
56,32,96,96,18,9,36,54,54,6,18,36,36,54,54,36,6,18,36,18,108,18,36,81,54,162,
54,108,54,18,54,42,6,54,42,18,54,54,18,36,54,54,81,9,18,54,54,54,54,54,9,162,
18,81,9,108,54,54,108,36,162,324,14,42,54,108,108,42,42,54,108,108,36,162,72,
36,18,36,36,36,16,24,24,24,72,72,24,24,8,24,24,24,72,72,72,72,2,16,24,24,48,
72,56,72,144,96,18,54,18,36,54,9,6,18,18,18,9,18,9,18,36,36,36,36,18,54,18,18,
18,54,9,18,54,54,18,18,54,54,36,108,36,36,54,54,54,36,54,54,18,81,9,54,108,36,
9,18,6,54,18,54,54,18,18,54,18,42,108,9,6,18,18,18,18,18,18,18,18,54,18,54,18,
54,54,9,18,54,108,54,54,9,81,9,18,18,9,18,1,6,18,18,18,54,18,9,18,54,54,9,54,
18,9,18,54,9,9,108,108,108,36,32,16,32,16,16,6,24,24,24,24,24,24,24,24,18,24,
24,8,24,24,24,14,16,24,24,24,24,24,24,8,24,72,72,24,24,72,72,8,24,24,24,24,24,
24,24,2,6,18,14,48,48,24,24,9,6,18,18,18,18,18,18,18,54,18,54,18,18,18,9,9,1,
6,18,18,18,9,18,9,18,9,18,18,18,18,18,18,6,18,18,54,54,9,18,6,18,18,18,18,9,
18,9,18,54,18,54,9,18,9,18,9,18,9,18,18,18,6,18,18,54,18,18,18,18,9,6,18,18,
18,18,18,18,54,9,18,18,9,18,9,9,18,8,32,16,32,16,16,6,18,6,12,18,24,6,24,24,
24,24,24,24,24,6,18,6,18,6,2,6,18,6,6,18,18,2,8,24,24,24,14,18,36,48,24,24,24,
24,18,9,6,18,18,18,18,9,18,18,9,18,9,18,18,9,9,18,9,8,8,8,8,8,8,8,16,6,6,6,2,
6,6,6,2,6,6,18,6,18,6,6,6,6,6,6,24,6,6,6,6,6,2,6,18,2,6,6,6,6,18,6,6,6,6,6,9,
1,8,8,8,8,8,8,8,6,6,6,2,6,6,6,6,6,6,6,6,6,6,6,6,1,2,2,1,1,8,6,2,1,1,2,1,1],[1,
9,6,45,6,37,24,24,8,32,18,18,18,36,45,72,9,36,6,36,2,18,36,6,36,18,18,6,9,72,
54,18,108,108,36,36,168,24,24,48,8,48,32,96,96,32,32,96,96,9,18,36,6,36,18,36,
36,6,18,36,36,36,36,36,9,18,36,36,108,36,18,18,9,9,6,18,18,9,9,9,36,36,36,36,
36,36,2,36,36,36,36,36,18,18,36,18,18,36,18,36,18,36,36,36,36,6,6,18,18,36,36,
36,36,108,36,36,36,36,18,18,18,36,18,16,24,24,24,8,24,24,24,2,16,24,48,48,96,
96,32,96,96,96,96,9,6,18,9,9,36,18,18,6,9,18,18,36,36,36,36,36,36,36,36,6,18,
36,36,18,18,36,36,36,36,36,36,9,9,18,36,18,18,36,36,18,18,18,9,18,18,18,9,36,
1,18,18,9,9,18,18,18,18,36,18,18,36,36,36,36,36,18,36,18,36,36,36,36,18,36,18,
16,16,32,32,16,6,24,6,24,8,24,2,16,24,24,24,24,12,12,48,48,24,24,24,24,24,24,
96,18,9,18,1,18,9,18,18,18,18,9,18,9,18,18,36,36,36,36,18,18,9,9,9,9,9,9,18,
18,6,6,18,18,18,18,8,16,32,16,16,32,6,6,12,24,24,24,6,6,2,6,6,2,24,12,48,24,
24,24,24,9,9,9,6,18,9,9,18,9,9,18,8,8,8,16,6,2,6,2,6,6,24,6,6,6,6,6,6,2,2,9,1,
8,6,6,6,2,6,6,6,6,1,1,1,2,2,6,1,2,1,1,2,1],[1,9,6,45,6,37,8,32,18,18,18,36,45,
9,36,6,36,2,18,36,6,36,18,18,6,9,72,54,18,72,72,24,24,48,8,48,32,96,96,9,18,
36,6,36,18,36,36,6,18,36,9,18,36,36,72,18,18,9,9,6,18,18,9,9,9,36,36,36,36,2,
36,36,36,36,36,18,36,36,36,18,72,36,36,16,24,24,24,8,24,24,24,2,16,24,48,48,
96,9,6,18,9,9,18,18,6,9,18,18,36,36,36,36,9,9,18,36,36,36,18,9,18,18,18,9,1,
18,18,9,9,18,18,36,36,36,16,16,16,6,24,6,24,8,24,2,16,24,24,24,24,12,12,48,48,
24,24,18,9,18,1,18,9,18,18,9,18,9,18,18,9,9,9,9,9,9,8,16,16,16,6,6,12,24,6,6,
2,6,6,2,24,12,48,9,9,9,9,9,9,9,8,8,8,16,6,2,6,2,6,6,6,6,6,6,9,1,8,6,6,1,1,1,1,
1,1,1],[1,21,18,81,58,21,4,4,32,48,54,90,216,81,4,30,81,108,72,30,4,6,72,108,
54,90,48,18,18,60,180,18,81,216,54,18,12,36,28,4,12,36,28,36,28,32,4,36,28,12,
12,96,96,30,27,72,108,54,16,30,108,72,108,54,36,18,54,36,24,180,30,72,81,108,
108,54,180,18,18,36,30,6,54,16,36,54,54,30,72,54,54,27,9,36,90,90,54,36,36,27,
108,36,27,9,72,54,54,72,72,108,108,24,30,54,180,72,30,30,54,72,72,36,54,72,36,
18,60,36,36,16,12,36,12,24,36,12,12,4,36,12,36,12,36,12,36,12,36,12,28,36,72,
1,4,8,36,12,36,12,36,12,12,12,36,12,36,12,36,12,1,8,24,28,72,36,96,12,36,24,
36,54,30,72,54,9,18,36,36,18,27,36,9,36,72,72,72,72,30,36,36,18,36,54,27,36,
90,36,36,18,54,54,72,72,36,36,36,54,90,72,54,54,36,27,9,36,72,36,3,18,10,36,
12,54,36,12,36,18,18,30,72,9,12,18,18,36,18,18,36,18,18,36,18,54,36,36,36,9,
18,54,72,36,36,9,27,9,18,18,9,18,3,12,30,36,18,36,36,9,18,36,36,9,36,18,9,18,
36,9,9,72,72,72,36,16,16,16,16,16,16,16,12,4,12,12,12,12,12,12,12,36,12,36,12,
12,12,12,12,12,12,12,12,12,12,4,4,12,12,36,12,36,12,12,12,12,12,7,8,3,3,9,7,1,
9,7,12,4,12,12,12,4,4,24,24,8,9,36,12,12,12,36,12,3,12,12,12,12,12,12,12,12,
36,12,12,12,12,12,12,12,36,12,12,12,12,12,1,7,9,3,24,24,24,24,24,9,12,18,36,
18,36,18,12,18,54,36,36,18,18,18,9,9,3,12,36,18,36,9,18,9,18,9,18,18,36,36,18,
18,10,12,18,36,36,9,18,12,18,18,18,18,9,18,3,12,36,18,36,9,18,9,18,9,12,9,18,
18,18,12,18,12,36,18,18,18,18,9,12,18,18,18,18,18,18,36,9,18,18,9,18,9,9,18,4,
16,16,16,16,16,16,16,4,12,12,12,4,12,12,12,12,12,12,12,12,12,12,12,9,3,9,7,18,
9,24,3,6,9,9,3,9,9,3,3,1,9,3,9,9,3,3,9,3,7,18,1,2,12,12,12,12,4,12,12,24,3,9,
9,3,3,3,3,3,9,3,9,3,12,12,12,12,3,9,6,12,12,12,12,24,18,9,12,18,18,18,12,9,18,
18,9,18,9,18,18,9,9,18,9,4,4,4,4,4,4,4,16,4,4,4,4,4,4,4,12,3,3,9,3,3,3,9,3,3,
3,1,3,3,3,1,2,3,9,9,3,3,9,3,3,3,9,3,3,1,3,3,3,3,3,9,3,3,3,3,3,3,3,1,3,3,9,3,3,
3,1,3,3,3,1,6,6,12,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,9,4,4,4,4,4,4,4,1,4,4,4,
4,4,4,4,3,3,3,3,3,3,3,3,3,3,1,3,3,3,1,3,6,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,1,1,1,
1,1,1,1,4,3,3,1,1,1,1,1,1,1,1],[1,49,18,81,42,9,8,32,126,162,126,324,81,2,42,
81,54,54,18,6,6,42,162,54,54,18,6,18,36,108,54,81,108,18,18,56,72,24,8,56,72,
24,32,96,96,42,81,108,162,54,42,42,324,108,162,54,36,54,162,36,14,108,42,108,
81,162,54,54,108,6,18,18,18,6,54,6,54,54,54,42,108,54,54,9,9,54,54,54,54,18,
18,81,54,54,9,9,36,54,54,36,108,54,36,18,18,54,108,36,18,18,54,36,36,36,18,72,
36,18,36,36,36,16,72,72,56,144,72,8,24,24,24,24,72,72,24,24,72,72,24,24,24,72,
48,96,2,16,24,54,54,42,108,54,9,54,54,54,18,81,54,9,54,108,108,108,108,18,18,
54,18,54,54,81,54,54,18,54,18,54,54,108,36,36,36,18,54,54,108,54,54,54,9,9,18,
36,36,1,18,6,18,6,54,18,6,54,6,18,18,36,9,18,18,18,54,18,18,54,18,18,18,18,54,
54,18,18,9,18,54,36,18,18,9,9,9,18,18,9,18,9,18,18,54,18,18,54,9,18,18,18,9,
18,18,9,18,18,9,9,36,36,36,36,32,16,32,16,16,24,24,24,72,24,72,24,8,24,72,72,
24,24,24,8,24,8,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,14,16,
24,14,18,6,2,18,6,48,48,24,24,9,18,18,54,18,54,18,6,18,54,54,18,18,18,18,9,9,
9,18,54,18,54,9,18,9,18,9,18,18,54,54,18,18,6,6,18,18,18,9,18,18,18,18,18,18,
9,18,1,6,18,18,18,9,18,9,18,9,6,9,18,18,18,18,18,6,18,18,18,18,18,9,18,18,18,
18,18,18,18,18,9,18,18,9,18,9,9,18,32,32,16,16,16,8,24,24,24,24,24,24,24,8,24,
24,24,24,24,24,24,18,14,36,18,18,48,24,18,18,18,2,6,6,6,6,18,6,6,18,6,6,6,12,
2,18,9,18,18,18,18,6,9,18,18,9,18,9,18,18,9,9,18,9,16,8,8,8,8,8,8,8,24,6,18,6,
6,6,18,6,18,18,2,6,6,6,2,6,6,6,6,6,2,6,6,6,6,2,6,6,6,6,6,6,6,6,6,6,6,6,6,9,8,
8,8,8,8,8,8,1,6,6,6,6,6,6,6,2,6,6,6,6,6,6,6,6,8,1,2,1,2,1,6,2,1,2,1,1,1],[1,
37,6,45,6,9,24,24,8,32,36,54,6,72,45,168,2,36,9,18,6,36,36,18,18,6,18,18,9,36,
18,18,108,108,36,36,72,48,24,8,48,24,32,96,96,96,32,96,32,36,9,36,36,36,36,36,
36,18,18,36,108,36,36,36,2,36,9,18,108,36,6,18,6,36,6,18,36,36,36,9,9,9,18,18,
9,9,36,36,36,18,36,36,18,6,36,18,6,36,18,36,18,36,36,36,36,18,18,18,18,36,36,
36,36,36,36,36,36,36,18,18,18,36,18,16,24,48,48,8,24,24,24,24,24,96,96,32,2,
16,96,96,96,96,24,18,36,36,9,9,18,9,36,36,36,36,36,36,36,36,36,18,18,36,36,18,
18,36,36,36,36,6,18,36,9,9,6,18,36,36,18,18,1,18,18,6,18,9,18,18,18,9,9,9,18,
18,18,18,9,18,36,18,18,36,18,18,36,36,36,36,18,36,36,18,36,36,36,36,18,36,18,
16,16,16,32,32,24,24,24,8,24,24,24,2,16,96,24,12,6,12,6,48,48,24,24,24,24,24,
24,9,18,18,9,9,18,18,18,18,36,36,36,36,1,18,9,18,18,18,9,6,6,18,9,18,18,9,9,9,
9,18,18,18,18,18,16,32,32,16,16,8,24,12,6,48,24,24,24,6,12,2,6,6,6,6,2,24,24,
24,24,9,18,9,9,18,6,18,9,9,9,9,16,8,8,8,6,2,6,2,24,6,6,6,6,6,6,2,6,2,6,9,8,1,
6,6,6,2,6,6,6,6,1,1,1,2,2,6,1,2,2,1,1,1],[1,37,6,45,6,9,8,32,36,54,6,72,45,2,
36,9,18,6,36,36,18,18,6,18,18,9,36,18,18,72,72,48,24,8,48,24,32,96,96,36,9,36,
36,36,36,36,36,18,18,36,72,2,36,9,18,72,6,18,6,36,6,18,36,36,36,9,9,9,18,18,9,
9,36,18,36,36,18,36,18,36,36,36,36,16,24,48,48,8,24,24,24,24,24,96,2,16,24,18,
36,36,9,9,18,9,36,36,36,36,36,36,6,18,9,9,36,1,18,18,6,18,9,18,18,18,9,9,9,9,
18,18,18,18,18,36,16,16,16,24,24,24,8,24,24,24,2,16,24,12,6,12,6,48,48,24,24,
9,18,18,9,9,18,18,1,18,9,18,9,18,9,9,9,9,9,18,16,16,16,8,24,12,6,48,24,6,12,2,
6,6,6,6,2,9,9,9,9,9,9,9,16,8,8,8,6,2,6,2,6,6,6,6,6,6,9,8,1,6,6,1,1,1,1,1,1,
1],[1,12,6,45,36,24,8,32,6,36,36,108,2,6,9,18,18,18,36,36,36,6,36,18,36,18,
108,72,36,8,24,24,48,48,96,32,96,6,18,18,36,36,36,72,12,36,36,36,36,6,18,36,
18,18,36,9,18,18,9,18,9,36,36,36,36,36,36,6,18,36,36,18,36,18,36,72,36,18,18,
36,16,24,48,8,24,24,24,24,24,48,2,16,96,24,18,36,6,18,9,18,18,18,36,36,36,36,
36,1,18,6,18,18,18,18,9,18,9,9,18,18,9,18,9,18,18,18,18,36,36,36,36,32,16,32,
8,24,24,24,24,24,24,12,2,6,6,12,48,24,24,24,6,18,18,18,9,18,18,9,6,18,9,18,9,
9,9,9,18,18,18,16,16,16,8,24,6,12,12,6,2,6,6,6,6,2,24,9,9,9,9,9,9,9,16,8,8,8,
6,6,6,2,6,6,6,6,2,6,9,8,1,6,6,2,1,2,1,1,1,1],[1,12,6,45,36,24,8,32,6,36,36,
108,2,6,9,18,18,18,36,36,36,6,36,18,36,18,108,36,72,8,24,24,48,48,96,96,32,6,
18,18,36,36,36,72,12,36,36,36,36,6,18,36,18,18,36,9,18,18,9,18,9,36,36,36,36,
36,36,36,6,18,36,18,18,36,36,72,18,18,36,36,16,24,48,8,24,24,24,24,24,48,2,16,
96,24,18,36,6,18,9,18,18,18,36,36,36,36,36,1,18,6,18,18,18,18,9,18,9,9,18,18,
9,18,9,18,18,18,18,36,36,36,36,32,16,32,8,24,24,24,24,24,24,12,2,6,6,12,48,24,
24,24,6,18,18,18,9,18,18,9,6,18,9,18,9,9,9,9,18,18,18,16,16,16,8,24,6,12,12,6,
2,6,6,6,6,2,24,9,9,9,9,9,9,9,16,8,8,8,6,6,6,2,6,6,6,6,6,2,9,8,1,6,6,2,1,2,1,1,
1,1],[1,18,81,24,8,32,2,81,54,6,6,162,54,6,36,54,18,108,108,72,8,72,96,32,96,
18,6,54,9,54,54,54,18,81,54,9,108,54,54,36,108,36,6,18,36,36,18,54,108,36,18,
18,36,16,8,24,24,72,24,72,24,2,16,96,24,1,6,6,54,18,54,18,18,18,9,9,18,18,9,
18,54,18,54,9,18,9,18,9,54,54,18,18,36,36,36,36,32,16,32,24,8,24,24,24,24,24,
18,2,18,48,24,24,24,6,9,6,18,18,18,18,9,18,9,9,9,9,9,18,18,18,18,18,16,16,16,
8,24,2,6,6,18,6,18,6,2,24,9,9,9,9,9,9,9,16,8,8,8,6,2,6,6,6,6,6,6,2,6,9,8,1,6,
6,2,1,2,1,1,1,1],[1,18,81,24,8,32,2,81,54,6,6,162,54,6,36,54,18,108,108,72,8,
72,96,96,32,18,6,54,9,54,54,54,18,81,54,9,108,54,54,36,108,36,36,6,18,36,18,
54,108,18,18,36,36,16,8,24,24,72,24,72,24,2,16,96,24,1,6,6,54,18,54,18,18,18,
9,9,18,18,9,18,54,18,54,9,18,9,18,9,54,54,18,18,36,36,36,36,32,16,32,24,8,24,
24,24,24,24,18,2,18,48,24,24,24,6,9,6,18,18,18,18,9,18,9,9,9,9,9,18,18,18,18,
18,16,16,16,8,24,2,6,6,18,6,18,6,2,24,9,9,9,9,9,9,9,16,8,8,8,6,2,6,6,6,6,6,6,
6,2,9,8,1,6,6,2,1,2,1,1,1,1],[1,18,81,24,8,32,6,81,162,2,6,54,54,54,36,6,18,
108,108,72,8,72,96,32,96,54,6,54,81,18,54,54,54,9,18,9,108,54,54,108,36,36,18,
54,108,36,6,18,36,36,18,18,36,16,24,72,72,8,24,24,24,2,16,24,96,9,6,18,54,54,
18,18,54,54,9,9,54,54,1,6,18,18,18,9,18,9,18,9,18,18,18,18,36,36,36,36,32,16,
32,24,24,24,18,8,24,24,24,2,18,48,24,24,24,18,9,18,6,18,18,18,9,18,9,9,9,9,9,
18,6,18,18,18,8,16,16,16,6,24,18,18,2,6,6,6,2,24,9,9,9,9,9,9,9,8,8,8,16,6,6,6,
2,6,6,6,6,6,2,9,1,8,6,6,2,1,2,1,1,1,1],[1,18,81,24,8,32,6,81,162,2,6,54,54,54,
36,6,18,108,108,72,8,72,96,96,32,54,6,54,81,18,54,54,54,9,18,9,108,54,54,108,
36,36,108,18,54,36,6,18,36,18,18,36,36,16,24,72,72,8,24,24,24,2,16,24,96,9,6,
18,54,54,18,18,54,54,9,9,54,54,1,6,18,18,18,9,18,9,18,9,18,18,18,18,36,36,36,
36,32,16,32,24,24,24,18,8,24,24,24,2,18,48,24,24,24,18,9,18,6,18,18,18,9,18,9,
9,9,9,9,18,6,18,18,18,8,16,16,16,6,24,18,18,2,6,6,6,2,24,9,9,9,9,9,9,9,8,8,8,
16,6,6,6,2,6,6,6,6,6,2,9,1,8,6,6,2,1,2,1,1,1,1],[1,6,45,36,12,24,8,32,18,9,36,
36,6,2,18,18,36,36,6,18,36,6,36,108,36,18,108,72,36,24,48,24,48,8,96,32,96,18,
18,36,18,36,18,36,9,6,18,18,9,18,9,36,36,36,36,36,36,12,36,36,36,6,18,36,36,
36,18,18,36,36,36,6,18,36,72,72,36,18,18,36,16,24,24,24,8,24,24,24,2,16,24,48,
48,96,9,6,18,18,18,18,18,18,18,18,18,9,36,36,18,9,9,18,18,1,6,18,9,18,9,18,18,
18,18,36,36,36,36,36,36,36,36,32,16,32,6,12,24,24,24,24,24,8,24,6,12,2,48,24,
24,24,18,9,18,6,18,18,18,18,9,18,9,9,9,9,9,18,6,18,18,8,16,16,16,6,6,6,2,6,6,
6,2,12,12,24,24,9,9,9,9,9,9,9,8,8,8,16,6,6,6,2,6,6,6,6,6,2,9,1,8,6,6,2,1,2,1,
1,1,1],[1,6,45,36,12,24,8,32,18,9,36,36,6,2,18,18,36,36,6,18,36,6,36,108,36,
18,108,36,72,24,48,24,48,8,96,96,32,18,18,36,18,36,18,36,9,6,18,18,9,18,9,36,
36,36,36,36,36,12,36,36,36,6,18,36,36,36,36,36,18,18,36,6,18,36,72,72,18,18,
36,36,16,24,24,24,8,24,24,24,2,16,24,48,48,96,9,6,18,18,18,18,18,18,18,18,18,
9,36,36,18,9,9,18,18,1,6,18,9,18,9,18,18,18,18,36,36,36,36,36,36,36,36,32,16,
32,6,12,24,24,24,24,24,8,24,6,12,2,48,24,24,24,18,9,18,6,18,18,18,18,9,18,9,9,
9,9,9,18,6,18,18,8,16,16,16,6,6,6,2,6,6,6,2,12,12,24,24,9,9,9,9,9,9,9,8,8,8,
16,6,6,6,2,6,6,6,6,6,2,9,1,8,6,6,2,1,2,1,1,1,1],[1,20,75,10,75,50,5,75,150,7,
12,12,50,10,50,75,25,75,45,7,45,60,60,50,50,50,5,10,75,45,5,15,10,90,60,60,25,
50,6,10,10,10,45,5,15,25,12,6,1,5,10,10,10,15,6,6,6,5,5,10,6,5,5,1,1,1],[1,20,
75,10,5,50,75,75,150,7,12,12,50,10,50,25,75,75,45,7,45,60,60,50,50,50,5,10,75,
5,45,15,10,90,60,60,50,25,6,10,10,10,5,45,15,25,12,6,1,10,10,10,5,15,6,6,6,5,
10,5,6,5,5,1,1,1],[1,36,18,81,36,4,8,4,16,8,108,162,81,54,9,54,81,162,24,36,
12,12,72,108,36,72,36,24,216,36,72,12,108,12,24,432,216,81,54,162,81,81,4,8,2,
16,16,16,16,4,16,4,4,16,4,4,36,72,216,18,18,108,108,54,54,36,108,216,54,108,
18,18,54,36,108,216,81,24,24,48,4,24,36,36,18,12,12,24,24,4,24,72,36,12,2,18,
12,48,144,144,24,24,24,24,144,24,144,36,144,36,24,36,144,24,24,36,36,18,108,
54,54,54,54,54,54,54,4,8,4,16,8,36,24,72,36,12,36,144,36,36,18,9,18,9,18,12,
36,36,6,18,72,72,36,12,36,1,6,9,18,36,36,72,36,36,36,54,24,8,8,12,4,4,12,12,
24,24,12,12,4,8,4,12,48,24,24,18,18,18,36,6,18,9,9,9,9,36,1,24,12,24,4,24,12,
12,2,2,6,6,12,12,6,12,12,2,24,2,6,9,9,4,2,4,1,12,6,6,2,6,6,6,6,6,4,2,2,1,1,1,
2,2,6,2,1,2,1,1,1],[1,36,18,81,18,18,4,8,4,16,8,108,162,108,81,81,81,81,81,24,
36,12,72,108,72,36,24,216,36,12,36,12,12,108,432,216,36,12,12,36,81,81,81,81,
81,81,81,4,8,2,16,16,16,16,4,16,4,4,16,4,4,36,72,216,108,108,216,108,36,108,
36,36,108,108,108,108,81,24,24,48,4,24,36,36,12,12,18,24,24,72,2,18,48,144,
144,24,24,144,144,24,24,36,18,12,2,12,144,24,24,18,12,36,2,12,24,36,12,12,144,
36,36,108,108,4,8,4,16,8,36,24,72,36,12,36,144,36,12,36,36,18,18,18,18,18,72,
36,36,12,36,36,12,72,18,18,18,18,72,18,18,18,18,36,18,18,18,18,36,36,24,8,8,
12,4,12,24,24,12,12,4,4,12,4,12,48,24,12,4,12,4,18,36,18,18,18,18,18,18,18,18,
18,18,18,18,1,24,12,24,4,24,12,4,12,12,12,12,12,12,12,12,18,4,2,1,2,2,12,12,4,
2,4,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,36,18,81,36,4,8,4,16,8,108,162,81,108,162,
162,24,36,12,72,108,72,36,24,216,12,108,72,24,432,72,216,24,81,324,81,81,4,8,
2,16,16,16,16,4,16,4,4,16,4,4,36,72,216,108,108,216,108,108,36,72,216,216,81,
24,24,48,4,24,36,36,18,24,24,72,2,18,24,48,144,144,24,24,144,144,36,24,144,36,
24,24,36,24,48,36,4,144,48,36,36,108,108,4,8,4,16,8,36,24,72,36,12,36,144,36,
36,18,36,72,12,36,36,36,36,36,36,36,36,72,36,24,36,36,144,36,36,24,8,8,12,4,
12,24,24,12,4,12,24,8,48,24,8,24,18,36,72,18,18,36,36,36,1,24,12,24,4,24,12,
12,24,12,4,24,24,18,4,2,1,4,12,12,4,2,1,4,2,1,1,1,2,2,1,1,1],[1,18,81,18,18,
36,4,8,4,16,8,81,108,81,81,81,162,81,108,12,36,108,36,12,216,72,12,36,24,108,
36,12,432,36,216,72,24,12,36,12,81,81,81,81,81,81,81,4,8,2,16,16,16,16,4,16,4,
4,16,4,4,108,108,108,36,36,36,216,108,108,108,108,36,216,108,36,36,81,12,12,
24,2,18,36,12,24,72,18,12,24,144,144,12,12,144,144,24,24,36,36,12,4,12,12,144,
48,48,18,24,36,2,24,12,18,12,24,36,24,12,2,144,24,36,36,108,108,4,8,4,16,8,18,
18,72,18,12,36,18,36,18,18,18,18,36,12,36,18,12,72,36,18,18,18,36,12,144,18,
36,36,36,18,36,18,12,18,36,18,72,36,18,18,12,36,36,12,4,4,12,12,24,12,24,8,4,
12,12,4,48,24,24,8,12,4,4,12,18,18,18,18,18,18,18,18,18,18,36,18,18,18,1,12,
12,12,4,12,12,12,24,12,24,12,12,12,12,12,4,18,2,1,2,4,2,12,12,1,4,1,2,1,1,1,4,
1,1,1,1,1,1,1,1],[1,18,81,18,36,18,4,8,4,16,8,81,108,81,81,162,81,81,108,12,
36,108,36,12,216,36,24,72,12,108,36,12,432,36,216,36,12,24,72,12,81,81,81,81,
81,81,81,4,8,2,16,16,16,16,4,16,4,4,16,4,4,108,108,108,36,36,36,108,216,108,
108,108,36,108,216,36,36,81,12,12,24,2,18,36,24,12,72,18,12,24,144,144,12,12,
144,144,48,48,36,18,24,2,24,12,144,24,24,36,12,36,4,12,12,18,12,24,36,12,24,2,
144,24,36,36,108,108,4,8,4,16,8,18,18,72,18,12,36,36,18,18,18,18,18,36,12,36,
18,12,144,18,36,36,18,18,36,36,12,72,36,36,18,18,18,12,18,36,18,72,18,18,36,
12,36,36,12,4,4,12,12,24,24,12,4,8,12,12,4,48,24,12,4,24,8,4,12,18,18,18,18,
18,18,18,18,18,36,18,18,18,18,1,12,12,12,4,12,12,24,12,12,12,24,12,12,12,12,4,
18,2,1,4,2,2,12,12,1,4,2,1,1,1,1,4,1,1,1,1,1,1,1,1],[1,18,81,18,18,4,8,4,16,8,
81,81,81,81,81,162,12,36,108,36,12,216,36,12,108,36,12,432,36,216,36,12,12,81,
81,81,81,81,81,81,4,8,2,16,16,16,16,4,16,4,4,16,4,4,108,108,108,108,108,108,
81,12,12,24,2,18,36,12,72,18,12,24,144,144,12,12,144,144,36,18,2,12,144,24,24,
12,36,12,12,18,12,24,36,12,2,144,24,36,36,4,8,4,16,8,18,18,72,18,18,18,36,18,
18,18,18,18,18,18,36,72,18,18,36,18,18,18,72,18,18,36,72,36,36,12,4,4,12,12,
24,12,4,12,12,4,48,24,12,4,4,12,18,18,18,18,18,18,18,18,18,36,1,12,12,12,12,
12,12,2,1,2,2,1,1,1,2,1,1,1,1,1,1,1,1,1,1],[1,18,81,18,18,4,8,4,16,8,81,81,81,
81,162,81,12,36,108,36,12,216,12,36,108,36,12,432,36,216,12,36,12,81,81,81,81,
81,81,81,4,8,2,16,16,16,16,4,16,4,4,16,4,4,108,108,108,108,108,108,81,12,12,
24,2,18,36,12,72,18,12,24,144,144,12,12,144,144,24,24,36,12,12,12,144,18,36,2,
12,18,12,24,36,12,2,144,24,36,36,4,8,4,16,8,18,18,72,18,18,36,18,18,18,18,18,
72,18,18,36,18,18,18,36,18,18,18,72,36,18,18,36,72,36,12,4,4,12,12,24,12,4,12,
12,4,48,24,12,4,4,12,18,18,18,18,18,18,18,18,18,36,1,12,12,12,12,12,12,2,1,2,
2,1,1,2,1,1,1,1,1,1,1,1,1,1,1],[1,18,81,36,36,4,8,4,16,8,81,54,9,54,81,108,
162,162,36,12,12,108,36,36,216,36,72,12,108,12,72,24,24,432,72,216,24,81,81,
81,54,162,4,8,2,16,16,16,16,4,16,4,4,16,4,4,18,18,108,54,54,36,108,54,108,18,
18,54,108,36,36,108,216,72,216,216,81,24,36,18,12,12,24,24,4,24,72,36,12,2,18,
12,24,144,144,24,24,144,24,144,36,24,144,36,24,24,36,24,48,36,4,144,48,24,24,
36,36,54,54,54,54,54,54,108,18,54,4,8,4,16,8,36,18,9,18,9,18,36,12,36,36,6,18,
72,72,36,12,36,1,6,9,12,18,36,72,36,36,72,36,24,36,36,144,36,36,54,12,4,4,12,
12,24,12,12,4,8,4,12,24,8,48,24,24,8,24,9,9,18,9,9,18,18,36,6,18,36,1,12,12,2,
2,6,6,12,12,6,12,12,24,2,24,2,6,12,4,24,24,9,9,2,4,1,4,6,6,6,6,6,6,12,2,6,2,1,
1,1,2,4,2,2,6,1,1,2,1,2,1],[1,18,81,72,4,8,4,16,8,81,108,108,324,162,36,24,12,
108,72,36,216,72,144,12,108,24,48,432,216,162,81,324,4,8,2,16,16,16,16,4,16,4,
4,16,4,4,36,108,108,72,216,108,108,36,72,216,432,81,24,36,18,24,24,48,24,8,24,
72,72,24,2,18,24,144,144,48,48,144,48,144,36,144,36,24,36,144,48,48,36,36,108,
108,4,8,4,16,8,36,36,18,36,24,72,72,12,36,144,72,72,24,72,12,36,36,144,36,36,
36,72,72,36,36,12,4,8,12,24,24,24,12,8,16,4,12,48,48,24,18,18,18,72,72,36,36,
1,12,24,4,12,24,24,12,24,12,4,48,18,2,8,1,12,12,4,1,4,4,1,1,2,1,2,2,1],[1,18,
81,4,8,4,16,8,81,18,162,162,36,12,108,36,216,12,108,432,216,162,81,4,8,2,16,
16,16,16,4,16,4,4,16,4,4,36,108,108,108,36,108,81,24,36,18,24,24,72,2,18,144,
144,144,144,36,144,36,24,36,144,36,36,108,108,4,8,4,16,8,36,18,18,18,72,2,18,
36,36,36,36,36,36,12,4,12,24,12,4,12,48,24,18,18,18,1,12,4,12,12,4,12,18,2,1,
12,12,2,1,2,1,1,2,1,1],[1,18,81,36,18,18,4,8,4,16,8,81,108,162,81,81,81,81,
108,36,12,108,36,216,36,12,36,12,12,108,72,24,432,72,216,36,12,12,36,24,81,81,
81,81,81,81,81,4,8,2,16,16,16,16,4,16,4,4,16,4,4,108,108,108,36,108,108,72,
216,108,216,36,108,108,36,36,81,24,36,12,12,18,24,24,72,2,18,24,144,144,144,
144,24,24,36,18,12,2,12,24,144,24,24,18,12,36,2,12,24,24,36,24,48,36,12,12,4,
144,48,36,36,108,108,4,8,4,16,8,36,18,18,18,18,18,36,72,12,36,72,18,18,18,18,
36,36,12,72,18,36,18,18,18,36,12,72,36,24,36,36,36,144,18,18,18,18,12,36,36,
12,4,12,24,12,12,4,4,12,4,12,24,8,48,24,12,4,12,4,8,24,18,18,18,18,18,18,18,
36,18,18,18,18,18,18,1,12,12,12,12,24,12,4,24,12,12,24,12,12,12,4,18,2,1,2,2,
4,12,12,1,4,1,1,1,1,2,4,1,1,1,1,1,1,1,1],[1,18,81,36,4,8,4,16,8,81,162,162,
162,36,12,108,36,216,24,72,12,108,432,216,24,72,81,162,162,81,81,4,8,2,16,16,
16,16,4,16,4,4,16,4,4,108,108,216,216,81,24,36,24,18,24,24,72,2,18,144,144,
144,144,48,48,36,24,24,144,36,36,4,24,36,24,144,36,36,4,8,4,16,8,36,36,36,18,
72,36,144,36,36,36,36,36,36,36,36,36,72,36,36,12,4,12,24,24,8,12,4,12,48,24,
24,8,36,18,36,36,36,36,1,12,24,12,24,2,1,4,1,2,2,1,1,2,1,2,1,1,1],[1,18,81,36,
4,8,4,16,8,81,162,162,162,36,12,108,36,216,72,24,12,108,432,216,72,24,81,162,
81,81,162,4,8,2,16,16,16,16,4,16,4,4,16,4,4,108,108,216,216,81,24,36,24,18,24,
24,72,2,18,144,144,144,144,36,36,4,144,48,48,24,36,24,24,36,24,144,36,36,4,8,
4,16,8,36,36,36,18,72,36,36,36,36,144,36,36,36,36,36,36,36,72,36,12,4,12,24,
24,8,12,4,12,48,24,24,8,36,18,36,36,36,36,1,12,24,12,24,2,1,4,1,2,2,1,1,2,1,1,
2,1,1],[1,18,81,4,8,4,16,8,81,162,36,12,108,36,216,12,108,432,216,81,162,4,8,
2,16,16,16,16,4,16,4,4,16,4,4,108,108,81,24,36,18,24,24,72,2,18,144,144,144,
144,36,144,36,24,36,144,36,36,4,8,4,16,8,36,18,72,36,36,36,36,36,36,12,4,12,
24,12,4,12,48,24,18,36,1,12,12,2,1,1,1,1,1,2,1],[1,18,81,4,8,4,16,8,81,162,36,
12,108,36,216,12,108,432,216,81,162,4,8,2,16,16,16,16,4,16,4,4,16,4,4,108,108,
81,24,36,18,24,24,72,2,18,144,144,144,144,36,144,36,24,36,144,36,36,4,8,4,16,
8,36,18,72,36,36,36,36,36,36,12,4,12,24,12,4,12,48,24,18,36,1,12,12,2,1,1,1,1,
1,2,1],[1,81,36,36,4,8,4,16,8,162,81,162,12,108,36,216,24,72,36,72,108,12,24,
432,216,24,72,81,81,81,4,8,2,16,16,16,16,4,16,4,4,16,4,4,108,216,108,216,216,
81,36,24,12,12,24,4,72,36,12,18,12,144,144,24,24,144,24,144,48,48,36,24,24,
144,36,36,4,36,24,144,24,24,36,36,4,8,4,16,8,36,36,18,72,36,18,18,72,144,36,
36,36,36,36,36,36,36,4,12,12,24,24,8,12,4,8,12,48,24,24,24,8,18,36,18,18,1,12,
24,12,24,24,4,1,4,2,2,1,1,1,1,1],[1,81,36,4,8,4,16,8,162,81,162,12,108,36,216,
36,72,108,12,24,432,216,81,81,81,4,8,2,16,16,16,16,4,16,4,4,16,4,4,108,108,
216,81,36,12,12,24,4,72,36,12,18,12,144,144,24,24,144,24,144,36,144,36,36,144,
24,24,36,36,4,8,4,16,8,36,36,18,72,36,18,18,72,36,36,36,36,36,72,36,4,12,12,
24,12,4,8,12,48,24,24,18,18,36,18,1,12,12,24,18,4,1,2,2,1,1,1,1,1],[1,81,36,
36,4,8,4,16,8,162,81,162,12,108,36,216,72,24,36,72,108,12,24,432,216,72,24,81,
81,81,4,8,2,16,16,16,16,4,16,4,4,16,4,4,108,216,108,216,216,81,36,24,12,12,24,
4,72,36,12,18,12,144,144,24,24,144,24,144,36,36,4,144,48,48,24,36,24,36,24,
144,24,24,36,36,4,8,4,16,8,36,36,18,72,36,18,18,72,36,144,36,36,36,36,36,36,
36,4,12,12,24,24,8,12,4,8,12,48,24,24,24,8,18,36,18,18,1,12,24,12,24,24,4,1,4,
2,2,1,1,1,1,1],[1,81,36,4,8,4,16,8,162,81,162,12,108,36,216,36,72,108,12,24,
432,216,81,81,81,4,8,2,16,16,16,16,4,16,4,4,16,4,4,108,108,216,81,36,12,12,24,
4,72,36,12,18,12,144,144,24,24,144,24,144,36,144,36,36,144,24,24,36,36,4,8,4,
16,8,36,36,18,72,36,18,18,72,36,36,36,36,36,72,36,4,12,12,24,12,4,8,12,48,24,
24,18,18,36,18,1,12,12,24,18,4,1,2,2,1,1,1,1,1],[1,45,30,36,40,45,30,90,45,45,
90,90,36,120,40,120,90,45,90,30,45,45,90,45,45,45,45,10,36,36,36,30,120,45,45,
45,45,45,45,45,40,10,36,36,36,30,30,30,45,20,20,10,36,30,12,10,10,10,12,10,1,
1,1,1,1],[1,15,45,15,46,30,20,20,45,45,150,15,45,15,45,45,135,135,45,45,150,
36,60,20,60,60,60,20,20,60,60,60,20,60,20,20,45,15,45,90,45,45,135,45,15,45,
45,15,45,15,45,45,45,90,45,15,15,45,45,90,45,45,45,45,45,45,10,36,36,36,60,60,
60,60,20,60,60,15,15,60,60,60,60,60,60,20,45,45,45,15,45,45,45,15,45,45,45,45,
45,45,45,20,10,20,10,10,20,20,36,36,36,15,60,15,15,15,15,15,15,15,15,15,15,15,
15,15,60,45,20,10,20,10,20,10,10,10,10,10,20,36,15,15,15,15,15,15,15,15,15,15,
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,
15,45,15,30,46,20,20,45,45,150,15,45,15,45,45,135,135,45,45,150,36,60,20,60,
20,20,60,60,60,60,20,60,20,60,20,45,15,45,90,45,45,135,45,15,45,45,15,45,15,
45,45,45,90,45,15,15,45,45,90,45,45,45,45,45,45,10,36,36,36,60,60,60,20,60,60,
60,15,15,60,60,60,60,60,20,60,45,45,45,15,45,45,45,15,45,45,45,45,45,45,45,20,
10,10,20,10,20,20,36,36,36,15,60,15,15,15,15,15,15,15,15,15,15,15,15,15,60,45,
10,20,20,10,10,10,10,10,10,20,20,36,15,15,15,15,15,15,15,15,15,15,15,15,15,15,
6,6,10,10,10,10,10,10,10,15,15,6,6,6,6,6,6,10,6,6,1,1,1,1,1],[1,45,30,36,40,
45,30,90,45,45,90,90,36,120,40,120,90,45,90,30,45,45,90,45,45,45,45,10,36,36,
36,30,120,45,45,45,45,45,45,45,40,10,36,36,36,30,30,30,45,20,20,10,36,30,12,
10,10,10,12,10,1,1,1,1,1],[1,30,46,45,30,20,20,105,90,90,90,15,90,45,45,15,15,
45,90,45,45,90,36,40,20,60,120,60,20,120,60,60,40,90,45,90,45,30,90,90,90,30,
90,90,90,15,45,45,45,90,90,15,45,45,45,45,10,36,36,36,20,120,120,60,60,15,60,
60,20,15,120,120,45,90,90,15,45,90,90,15,45,45,45,40,10,10,10,40,36,72,60,30,
30,30,15,15,15,15,60,15,30,15,45,20,20,20,10,20,10,20,10,20,36,15,15,30,30,30,
30,15,15,15,15,6,6,10,20,20,10,10,15,15,6,12,12,6,10,6,6,1,2,1,1],[1,15,46,45,
30,15,20,20,45,60,90,45,15,45,45,45,45,45,15,45,45,45,45,60,45,45,90,36,20,20,
20,60,60,60,60,20,60,60,60,20,60,20,45,45,45,15,45,45,45,15,45,45,45,45,45,15,
45,45,45,15,45,45,45,45,45,15,45,45,45,45,45,15,45,45,45,45,45,10,36,36,36,20,
60,60,60,60,60,60,15,60,60,20,15,60,60,60,60,45,45,45,15,45,45,45,15,45,45,45,
45,45,45,45,20,10,20,10,10,20,20,36,36,36,60,15,15,15,15,15,15,15,15,15,15,60,
15,15,15,15,45,20,10,20,10,20,10,10,10,10,10,20,36,15,15,15,15,15,15,15,15,15,
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],[
1,48,135,20,20,16,135,270,15,45,135,135,90,90,36,60,60,180,60,60,180,90,45,
135,135,45,135,135,135,135,135,270,10,108,36,108,20,180,180,15,20,180,180,15,
15,15,45,135,135,135,135,30,10,30,36,108,108,60,45,15,45,60,45,15,45,45,10,30,
30,10,30,36,15,45,45,15,45,45,6,6,10,30,30,15,15,18,18,10,6,6,1,3,1],[1,46,45,
20,20,15,15,45,45,15,15,45,45,45,90,36,20,60,60,20,60,60,15,45,45,45,45,45,15,
45,45,45,45,10,36,36,36,20,60,60,15,60,60,20,15,45,45,15,15,45,45,45,10,10,10,
36,72,60,15,15,15,15,60,15,15,45,20,10,20,10,10,36,15,15,15,15,15,15,6,6,10,
10,10,15,15,6,6,10,6,6,1,1,1],[1,48,135,20,20,15,135,135,16,45,270,135,90,90,
36,60,60,180,60,60,180,45,45,135,90,135,135,135,135,135,135,270,10,108,36,108,
20,180,180,15,180,20,180,15,15,135,135,15,45,135,135,30,10,30,108,36,108,60,
45,15,45,45,60,15,45,45,10,30,30,10,30,36,15,45,45,45,15,45,6,6,10,30,30,15,
15,18,18,10,6,6,1,3,1],[1,46,45,20,20,15,45,45,15,46,45,90,90,36,20,60,60,20,
60,60,15,45,45,15,90,45,45,45,45,45,10,36,36,36,20,60,60,15,60,20,60,15,15,45,
45,15,45,45,45,10,10,10,36,36,36,60,15,15,15,15,60,15,15,45,10,10,10,10,10,20,
36,15,15,15,15,15,15,6,6,10,10,10,15,15,6,6,10,6,6,1,1,1],[1,46,45,30,30,20,
20,15,45,45,90,90,15,45,15,45,45,90,105,90,90,90,36,20,40,60,60,120,20,60,60,
120,40,15,90,45,45,30,15,45,45,45,45,45,90,45,45,90,30,90,90,90,90,90,90,90,
10,36,36,36,20,60,60,120,120,15,60,60,20,15,120,120,45,45,15,90,90,15,45,45,
45,90,90,10,40,10,10,40,36,72,60,15,30,15,15,30,15,30,60,15,15,30,45,20,10,20,
20,20,10,10,20,20,36,15,15,15,30,30,15,15,15,30,30,6,6,10,10,10,20,20,15,15,6,
12,6,12,10,6,6,1,1,2,1],[1,18,45,60,4,10,80,1,90,45,45,30,30,5,90,45,90,30,90,
6,60,40,30,60,10,30,60,240,15,30,45,90,90,45,15,45,45,45,90,180,40,18,6,18,60,
20,60,1,10,20,30,30,30,30,30,30,5,40,120,60,60,24,45,5,45,45,45,45,45,40,40,
40,6,18,18,36,36,60,15,10,30,10,30,60,15,30,30,30,30,30,120,120,24,45,20,40,
10,6,18,18,15,5,15,5,10,30,15,15,1,24,6,20,10,10,10,18,15,15,30,3,6,6,5,10,4,
1,3,3,6,5,4,3,1,1],[1,24,135,4,10,80,1,135,45,8,3,270,45,30,90,6,60,4,60,90,
10,90,240,15,3,45,90,45,45,135,45,45,45,90,40,54,6,54,20,60,60,1,10,20,90,30,
30,30,90,30,5,40,120,24,5,45,45,15,15,45,45,40,40,40,6,54,18,18,18,54,18,20,
15,1,15,10,30,30,60,45,30,30,30,30,24,24,24,15,20,40,10,6,18,18,18,18,18,18,5,
15,15,5,10,30,15,15,1,24,6,20,10,10,10,18,5,15,9,6,6,6,5,10,4,1,3,3,6,5,4,3,1,
1],[1,18,45,10,30,4,10,80,1,15,45,45,45,5,15,45,30,75,30,90,90,6,60,40,30,10,
80,10,30,10,30,30,15,10,45,15,45,15,45,45,45,45,90,45,45,90,40,18,6,18,20,60,
60,1,10,20,30,30,30,30,30,30,5,40,120,10,30,30,30,60,24,5,15,15,45,45,45,45,
40,40,40,6,18,18,6,18,60,15,10,10,10,10,20,15,30,30,30,30,5,15,24,15,20,40,10,
6,18,18,5,15,15,5,10,10,15,15,1,24,6,20,10,10,10,6,15,5,3,1,3,6,5,10,4,1,3,3,
6,5,4,1,1,1],[1,18,45,30,10,14,80,45,45,30,15,6,45,90,30,15,90,30,90,6,90,30,
10,30,30,50,10,80,45,45,45,90,45,30,45,45,45,10,90,15,45,40,18,6,18,30,60,30,
30,30,30,30,60,30,6,60,120,30,60,30,10,30,24,15,45,45,45,45,5,15,40,40,40,18,
6,18,18,6,30,30,10,30,10,20,60,10,30,10,30,15,5,24,15,30,40,18,6,18,15,15,10,
15,15,10,10,1,6,24,10,10,10,20,6,15,5,3,3,1,6,5,10,4,3,1,3,6,5,4,1,1,1],[1,24,
135,14,80,3,135,135,6,3,180,45,90,30,6,150,14,150,240,45,3,45,60,135,45,45,45,
45,45,90,40,54,6,54,30,150,90,30,30,90,30,6,60,120,24,15,45,45,5,15,45,45,80,
40,18,54,54,6,18,18,18,30,30,30,60,30,30,30,30,1,15,60,24,24,24,15,30,40,18,
18,18,6,18,18,18,15,30,15,10,15,15,10,1,6,24,30,10,10,18,15,5,9,6,6,6,5,10,4,
3,1,3,6,5,4,3,1,1],[1,18,45,60,14,80,45,120,6,90,120,90,30,90,6,90,10,30,60,
100,240,45,30,90,45,45,120,180,180,40,18,6,18,30,30,90,30,30,30,90,6,60,120,
60,60,24,90,45,5,90,45,40,40,40,18,6,18,36,36,30,30,30,30,10,30,90,30,40,180,
120,24,45,30,40,18,6,18,30,10,30,10,30,1,6,24,10,10,30,18,30,30,3,6,6,5,10,4,
3,1,3,6,5,4,3,1,1],[1,30,18,45,10,10,4,80,75,90,30,90,5,45,45,45,15,15,1,45,
30,6,30,30,10,10,30,30,10,60,40,80,45,45,90,45,45,10,90,15,15,45,45,45,15,45,
40,18,6,18,30,30,30,60,30,10,30,30,30,30,10,30,5,20,40,60,60,1,20,120,24,45,
45,15,45,45,5,15,40,40,40,18,6,18,18,6,10,30,30,30,30,10,10,10,20,15,15,5,60,
15,24,15,10,40,20,18,6,18,10,15,15,15,5,5,10,15,1,6,24,10,10,10,20,6,15,5,3,3,
1,6,10,5,4,3,3,1,6,5,4,1,1,1],[1,10,18,45,30,14,80,15,30,90,6,15,45,90,45,45,
30,30,90,6,10,90,30,10,50,30,30,80,15,45,45,10,90,30,45,45,45,45,45,45,90,40,
18,6,18,30,10,30,30,30,30,60,30,60,30,30,30,30,60,6,60,120,24,45,15,45,5,45,
15,45,40,40,40,6,18,18,6,18,10,30,30,10,60,10,30,30,10,20,5,30,15,24,15,40,30,
6,18,18,10,15,15,10,15,15,10,1,24,6,10,10,20,10,6,15,5,1,3,3,6,10,5,4,3,1,3,6,
5,4,1,1,1],[1,60,18,45,14,80,120,90,6,120,45,90,30,90,6,100,90,10,60,30,240,
120,45,180,180,30,90,45,45,40,18,6,18,90,60,60,30,90,30,30,30,30,6,60,120,24,
90,45,5,90,45,40,40,40,6,18,18,36,36,90,30,30,10,30,30,30,40,30,180,120,24,45,
40,30,6,18,18,30,30,10,30,10,1,24,6,30,10,10,18,30,30,6,3,6,10,5,4,3,1,3,6,5,
4,3,1,1],[1,24,135,14,80,6,135,180,3,3,135,45,30,90,6,150,14,150,240,60,3,45,
45,45,135,45,45,45,45,90,40,54,6,54,30,30,30,150,90,90,30,6,60,120,24,5,15,15,
45,45,45,45,80,40,6,54,18,18,18,54,18,30,30,30,30,30,30,30,60,1,15,60,24,24,
24,15,40,30,6,18,18,18,18,18,18,30,10,15,15,15,15,10,1,24,6,10,30,10,18,15,5,
9,6,6,6,10,5,4,1,3,3,6,5,4,3,1,1],[1,24,135,10,4,80,8,135,270,1,3,45,45,90,30,
6,90,10,90,60,4,60,240,90,3,45,135,15,45,45,45,45,45,90,40,54,6,54,30,10,30,
90,90,30,30,5,20,40,60,60,1,20,120,24,15,5,15,45,45,45,45,40,40,40,18,54,54,6,
18,18,18,30,30,30,10,30,30,30,45,20,15,1,15,60,24,24,24,15,10,40,20,18,18,18,
6,18,18,18,30,15,5,15,5,10,15,15,1,6,24,10,10,10,20,18,15,5,9,6,6,6,10,5,4,3,
1,3,6,5,4,3,1,1],[1,18,45,60,10,4,80,5,30,45,45,90,90,1,30,45,90,30,90,6,30,
60,10,30,60,60,40,240,15,90,45,30,90,45,15,45,45,45,90,180,40,18,6,18,30,10,
30,30,30,30,30,60,60,5,20,40,60,60,1,20,120,24,45,5,45,45,45,45,45,40,40,40,
18,6,18,36,36,30,30,30,10,30,30,30,15,30,60,120,15,10,60,120,24,45,10,40,20,
18,6,18,30,15,5,15,5,10,15,15,1,6,24,10,10,10,20,18,15,15,30,3,6,6,10,5,4,3,1,
3,6,5,4,3,1,1],[1,18,18,81,60,42,2,6,16,16,45,54,54,162,3,18,81,81,81,18,1,12,
81,27,108,54,117,216,162,162,54,6,18,14,6,18,54,42,54,42,48,10,90,30,66,38,48,
144,48,144,48,18,27,54,81,6,45,54,108,81,108,18,162,18,54,27,18,3,27,18,27,18,
54,9,108,108,81,27,81,27,81,27,54,27,27,162,6,81,81,54,216,18,18,54,54,108,8,
1,16,8,16,6,18,18,36,54,6,6,2,18,6,54,18,54,18,54,18,54,18,42,54,108,6,54,18,
90,54,42,6,2,42,18,54,54,90,18,54,1,4,4,42,108,54,144,66,54,180,144,27,18,54,
9,54,27,27,27,54,54,27,27,81,27,81,27,27,27,27,27,27,18,54,27,27,27,27,27,9,9,
27,27,108,27,81,27,27,27,27,54,54,6,9,8,14,16,8,8,24,24,24,24,1,9,6,14,48,48,
32,24,32,16,24,8,48,48,6,2,6,18,18,18,18,6,6,54,18,54,18,6,18,18,18,18,6,18,
18,18,18,6,6,18,18,54,18,54,18,18,18,18,18,6,12,18,18,6,6,18,18,6,9,54,18,6,
54,18,54,6,12,18,18,18,18,18,18,6,54,54,90,18,18,54,54,2,42,18,54,6,6,18,18,1,
6,9,6,12,36,36,12,4,27,27,27,9,27,27,27,27,27,27,27,27,27,27,27,6,18,3,6,18,3,
6,2,1,4,18,3,9,9,3,3,6,6,18,18,8,24,24,7,18,48,24,24,24,24,1,3,9,7,6,18,18,6,
2,4,48,24,32,24,24,48,6,18,18,6,18,18,18,18,18,18,18,18,18,18,18,9,6,18,36,18,
18,18,18,18,6,18,9,9,9,9,9,9,6,54,18,18,6,18,36,18,18,18,18,8,4,8,4,4,8,8,27,
6,2,2,4,6,3,6,6,6,6,6,9,18,6,3,6,9,12,3,3,3,6,6,6,3,6,2,2,6,6,6,6,1,3,2,6,12,
12,9,3,3,6,6,9,3,9,3,9,3,9,3,6,18,6,6,6,6,24,7,9,18,12,6,6,2,4,2,6,6,2,12,12,
24,18,9,9,9,18,9,9,9,9,1,8,4,8,4,8,4,4,4,4,4,8,6,3,6,2,6,6,1,6,12,3,6,3,3,3,3,
3,3,9,3,9,3,3,6,3,3,3,3,6,3,3,3,3,3,6,6,6,6,1,1,3,3,6,9,3,9,3,3,3,3,3,6,6,6,6,
6,6,2,6,12,9,2,1,2,1,1,2,2,4,4,4,4,4,4,4,3,3,3,6,1,3,3,3,3,3,3,3,3,3,3,3,6,2,
1,2,1,2,1,1,1,1,1,2,4,3,1,1,1,1,1,1,1,1],[1,42,18,81,60,18,6,16,2,16,117,162,
54,162,1,18,81,27,81,18,3,12,81,81,108,54,45,216,162,54,54,38,54,30,10,66,90,
42,48,18,48,144,42,48,6,54,14,18,6,48,144,18,81,54,81,18,81,162,216,81,108,6,
54,18,54,9,18,3,27,6,27,18,54,27,108,108,27,27,81,81,27,27,54,27,27,54,18,45,
81,162,108,18,18,54,54,108,8,8,1,16,16,54,18,66,180,54,2,6,6,42,42,90,90,18,
18,54,54,54,54,42,54,108,144,1,4,2,4,54,18,54,18,18,6,6,6,54,18,54,18,18,6,42,
108,54,144,18,54,36,27,18,54,27,108,27,81,27,54,54,9,27,81,81,27,27,27,9,27,9,
27,18,54,27,27,27,27,27,27,27,27,27,54,27,27,27,27,27,27,54,54,32,14,16,8,32,
24,24,9,24,6,24,8,8,24,24,8,1,9,14,6,48,48,48,48,16,6,6,42,90,18,54,54,2,6,54,
54,18,18,6,6,18,6,18,6,18,18,18,18,18,18,18,18,54,54,18,18,54,54,18,18,6,12,6,
9,6,1,9,6,12,36,18,6,6,6,18,6,2,12,36,12,54,18,18,18,54,18,18,18,18,18,18,18,
18,18,54,18,18,18,18,18,6,6,54,18,6,6,18,18,4,27,27,27,27,27,27,27,9,27,27,27,
27,27,27,27,18,32,48,24,18,7,18,18,48,24,24,2,1,4,6,3,6,3,9,3,9,3,18,6,18,6,
24,24,24,3,6,24,24,8,24,1,7,9,3,18,18,6,6,2,4,48,6,18,18,18,18,54,18,6,18,18,
18,18,18,18,18,9,6,18,36,9,9,9,9,9,9,6,18,18,18,18,18,6,6,18,36,18,18,18,18,
18,18,18,18,8,8,4,4,8,4,8,27,6,6,6,9,6,18,6,24,2,2,4,6,9,6,6,7,18,9,12,2,2,6,
6,6,6,3,1,3,6,2,12,12,6,3,6,3,3,6,6,3,3,3,6,6,9,9,3,3,9,9,3,3,6,6,18,6,6,6,24,
3,9,6,12,6,6,2,2,6,6,2,12,12,4,18,9,9,9,9,9,9,9,18,8,4,8,4,4,8,4,4,4,4,8,1,6,
3,6,3,6,3,6,9,3,9,3,2,6,6,1,12,3,9,9,3,3,6,6,6,6,3,6,1,3,1,3,6,3,3,3,3,3,3,3,
3,3,6,3,3,3,3,3,3,3,3,6,6,6,6,6,6,2,6,12,9,4,4,4,2,4,4,4,4,2,1,1,1,2,2,3,3,3,
3,3,3,3,6,1,3,3,3,3,3,3,3,6,4,2,1,2,1,1,2,1,1,1,1,2,3,1,1,1,1,1,1,1,1],[1,45,
20,20,15,15,45,37,72,72,60,60,45,10,45,36,15,15,20,20,10,15,15,45,15,15,36,60,
60,10,45,10,36,6,6,15,15,10,15,15,10,6,6,1,1],[1,45,45,45,21,40,20,40,135,135,
15,135,15,45,135,36,75,45,15,60,180,120,180,60,60,120,135,45,135,45,135,45,
135,20,20,10,40,40,36,45,45,180,15,45,15,45,45,15,30,15,30,180,36,135,60,60,
20,60,60,60,20,10,60,120,120,108,45,15,45,15,45,45,45,45,45,45,15,90,15,45,90,
10,36,60,30,15,15,60,10,30,45,45,45,20,10,20,6,6,36,15,15,30,15,15,15,15,10,
10,10,18,18,15,15,6,6,10,1,6,6,3,1,1],[1,48,135,21,40,20,40,15,135,135,15,45,
135,135,36,105,61,225,60,360,60,180,360,45,45,135,45,135,135,135,20,20,10,40,
40,108,36,108,15,15,45,225,45,45,45,15,30,180,15,30,36,135,80,60,30,60,20,60,
10,30,120,120,108,45,15,45,15,45,45,45,45,15,45,90,45,15,45,90,10,36,36,36,60,
15,15,30,60,10,30,45,45,45,10,10,10,6,6,36,15,15,15,15,15,15,30,10,10,10,18,
18,15,15,6,6,10,1,6,6,3,1,1],[1,15,45,15,21,40,20,40,45,45,15,45,15,45,45,36,
20,45,60,75,15,120,60,120,60,20,45,15,45,15,45,45,45,20,20,10,40,40,36,60,15,
15,45,45,45,45,45,15,30,15,30,60,36,45,20,20,40,60,60,60,60,20,10,20,40,36,45,
45,15,15,45,45,45,15,30,15,30,15,15,15,15,10,36,60,10,15,15,60,10,10,45,15,15,
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],[
1,45,15,15,20,21,40,40,15,45,45,15,45,45,45,36,20,60,60,45,15,120,60,75,20,
120,45,45,15,15,45,45,45,20,10,40,20,40,36,60,15,15,30,45,45,15,45,45,45,15,
30,60,36,45,20,20,40,60,60,10,20,60,60,20,40,36,15,15,15,45,45,15,30,15,45,15,
30,45,45,15,15,10,36,60,10,10,10,15,15,60,15,45,15,20,10,20,6,6,36,10,15,15,
15,15,15,15,10,10,10,6,6,15,15,6,6,10,1,6,6,1,1,1],[1,48,135,20,21,40,40,15,
135,135,15,45,135,135,36,60,60,180,105,61,225,360,360,45,45,135,45,135,135,
135,20,10,40,20,40,108,36,108,180,15,15,30,225,45,15,45,45,45,15,30,36,135,30,
20,60,60,10,30,120,80,60,120,108,45,15,45,15,45,45,90,45,15,45,45,45,15,45,90,
10,36,36,36,30,60,10,30,15,15,60,45,45,45,10,10,10,6,6,36,30,15,15,15,15,15,
15,10,10,10,18,18,15,15,6,6,10,1,6,6,3,1,1],[1,45,45,45,20,21,40,40,15,135,
135,15,45,135,135,36,60,60,180,45,60,15,180,75,120,120,135,45,45,45,135,135,
135,20,10,40,20,40,36,180,15,15,30,45,45,15,45,45,45,15,30,180,36,135,60,20,
60,60,10,60,120,60,60,20,120,108,45,15,45,45,45,15,90,45,15,45,45,45,15,45,90,
10,36,30,60,10,30,15,15,60,45,45,45,20,10,20,6,6,36,30,15,15,15,15,15,15,10,
10,10,18,18,15,15,6,6,10,1,6,6,3,1,1],[1,24,135,60,2,12,40,40,90,135,90,5,90,
135,270,6,30,20,6,90,60,120,60,120,16,180,60,120,360,360,135,90,270,45,135,20,
1,40,20,40,54,6,54,30,10,30,90,90,90,90,60,180,90,180,90,10,90,5,20,20,60,180,
360,12,12,135,15,20,20,40,20,20,60,60,60,60,1,15,120,120,80,60,120,54,36,30,
90,90,30,90,90,90,45,90,30,30,60,10,12,36,36,12,36,36,30,10,5,20,30,15,15,20,
60,60,10,30,120,60,60,60,60,10,20,60,54,6,90,45,20,10,20,10,10,1,12,36,36,36,
30,15,30,10,30,30,5,60,15,60,30,6,6,6,5,20,10,20,10,10,9,6,36,15,30,2,2,12,6,
10,5,10,9,2,6,6,6,6,5,1,6,2,1,1],[1,24,135,2,12,40,40,135,5,9,135,135,6,30,6,
90,120,16,180,360,360,45,135,135,20,1,40,20,40,54,6,54,10,90,90,180,10,90,90,
90,5,20,20,12,12,45,15,20,60,60,1,15,120,80,60,120,54,54,54,30,45,30,90,10,12,
36,36,12,36,36,10,5,20,15,15,60,1,15,10,20,60,54,6,45,10,10,10,1,36,36,30,5,
15,15,30,6,6,6,5,10,10,10,9,5,2,2,6,6,6,5,10,9,6,6,6,5,1,1,1],[1,24,135,60,2,
12,40,40,135,90,5,135,180,270,6,30,6,90,120,16,180,120,80,360,120,360,120,45,
135,135,90,270,20,1,40,20,40,54,6,54,10,90,90,90,180,30,10,90,180,120,5,20,20,
120,360,360,12,12,135,15,20,60,60,1,15,20,120,80,60,80,40,60,20,120,120,54,36,
30,45,90,90,90,30,180,30,90,30,60,10,12,36,36,12,36,36,10,5,20,15,15,30,30,60,
10,30,10,20,120,60,80,60,60,120,54,6,45,90,10,10,10,20,20,1,36,36,36,12,30,5,
30,15,15,30,30,30,10,60,60,6,6,6,5,10,20,10,10,20,9,6,36,15,30,2,2,6,12,5,10,
10,9,6,6,6,2,6,5,1,6,1,2,1],[1,60,24,135,12,40,2,40,180,270,5,90,135,135,6,80,
120,16,120,180,120,30,120,360,6,90,360,90,135,270,45,135,20,20,1,40,40,54,6,
54,120,120,360,10,30,180,180,90,90,360,5,20,10,20,90,90,12,12,135,80,20,40,20,
80,60,60,15,60,20,60,1,15,120,120,120,54,36,30,180,90,30,90,90,90,30,45,60,30,
10,12,36,36,12,36,36,30,80,120,60,10,30,120,60,60,10,5,20,30,15,15,60,10,20,
54,6,90,45,20,20,10,10,10,1,12,36,36,36,30,15,30,60,10,30,30,5,60,15,30,6,6,6,
20,10,20,10,10,5,6,9,36,15,30,2,2,12,6,10,10,5,9,2,6,6,6,6,5,1,6,2,1,1],[1,24,
135,12,40,2,40,5,135,135,9,135,6,120,16,180,30,360,6,90,360,45,135,135,20,20,
1,40,40,54,6,54,10,90,180,90,90,5,20,10,20,90,90,12,12,45,80,60,15,60,20,60,1,
15,120,120,54,54,54,30,90,45,30,10,12,36,36,12,36,36,60,10,5,20,15,15,60,1,15,
10,20,54,6,45,10,10,10,1,36,36,30,5,15,15,30,6,6,6,10,10,10,5,9,5,2,2,6,6,6,
10,5,9,6,6,6,5,1,1,1],[1,24,135,60,12,40,2,40,5,135,135,90,90,90,270,6,120,60,
16,180,60,30,360,60,120,6,90,20,120,360,45,90,135,135,270,20,20,1,40,40,54,6,
54,10,90,180,90,90,60,180,5,20,10,20,90,90,90,90,30,30,60,180,360,12,12,135,
80,60,15,60,60,20,20,60,60,20,1,15,20,120,120,120,40,54,36,30,90,45,30,90,30,
30,60,90,90,90,90,10,12,36,36,12,36,36,60,10,5,20,15,15,30,30,60,60,60,60,60,
20,60,10,30,10,20,120,54,6,45,90,10,10,20,10,20,1,36,36,36,12,30,5,30,15,15,
30,60,30,30,10,60,6,6,6,10,20,10,10,20,5,9,6,36,15,30,2,2,6,12,10,5,10,9,6,6,
6,2,6,5,1,6,1,2,1],[1,9,18,81,42,49,24,24,8,32,18,18,54,108,81,72,6,18,81,162,
42,42,2,6,54,54,54,126,126,54,18,36,108,6,81,324,162,18,108,108,108,108,168,
72,24,8,72,24,56,56,32,96,96,32,32,96,96,18,9,36,54,54,6,18,36,36,54,54,36,6,
18,36,36,36,36,36,18,108,18,36,81,54,162,54,108,108,108,54,18,54,42,6,54,42,
18,54,54,18,36,54,54,81,9,18,54,54,54,54,54,9,162,18,81,9,108,108,108,54,54,
108,36,162,324,14,42,54,108,108,42,42,54,108,108,36,162,18,108,54,18,108,54,
72,36,18,36,36,36,36,36,36,36,6,6,18,18,36,36,108,108,108,108,108,108,36,18,
18,18,36,18,36,36,16,24,24,24,72,72,24,24,8,24,24,24,72,72,72,72,2,16,24,24,
48,72,56,72,144,96,96,32,96,96,96,96,18,54,18,36,54,9,6,18,18,18,9,18,9,36,18,
36,36,36,36,18,54,18,18,18,54,9,18,54,54,18,18,54,54,36,108,36,36,36,36,36,36,
6,18,36,36,18,18,36,36,36,36,36,54,54,54,36,54,54,18,108,81,9,54,108,36,18,18,
108,36,54,18,36,9,18,6,54,18,54,54,18,18,54,18,42,108,9,6,18,18,18,18,18,18,
18,18,54,18,54,18,54,54,9,18,54,108,54,54,9,81,9,54,54,54,54,18,18,9,18,36,1,
6,18,18,18,54,18,9,18,54,54,9,54,18,9,18,54,9,9,18,18,18,18,108,18,18,18,18,
108,108,108,36,36,36,36,54,108,108,54,36,36,36,36,36,18,36,18,36,36,36,36,36,
36,36,36,36,32,16,32,16,32,32,16,6,24,24,24,24,24,24,24,24,18,24,24,8,24,24,
24,14,16,24,24,24,24,24,24,8,24,72,72,24,24,72,72,8,24,24,24,24,24,24,24,2,6,
18,14,48,48,24,24,24,24,24,24,96,9,6,18,18,18,18,18,18,18,54,18,54,18,18,18,9,
9,18,18,1,6,18,18,18,9,18,9,18,9,18,18,18,18,18,18,18,18,18,18,6,18,18,54,54,
9,18,6,18,18,18,18,9,18,18,18,36,36,36,36,9,18,54,18,54,9,18,9,18,9,54,18,54,
18,36,36,18,9,18,18,18,18,18,6,18,18,54,18,18,18,18,9,18,18,6,18,18,18,18,18,
18,54,9,18,18,18,18,9,18,9,9,9,9,9,9,9,9,9,54,54,18,18,9,18,18,18,6,6,18,18,
18,18,18,18,18,18,18,18,36,36,8,32,16,32,16,32,16,16,16,16,16,32,6,18,6,12,18,
24,24,24,6,24,24,24,24,24,24,24,6,18,6,18,6,2,6,18,6,6,18,18,2,8,24,24,24,14,
18,36,48,24,24,24,24,24,24,24,24,18,9,18,6,18,18,18,18,9,18,18,9,18,9,9,9,9,9,
18,6,18,18,18,18,18,9,9,9,9,9,18,18,18,18,18,9,9,9,9,9,18,9,9,9,9,9,9,9,9,9,9,
9,9,9,9,9,9,9,18,8,8,8,8,8,8,8,16,16,16,16,16,16,16,6,6,6,2,6,6,6,2,6,6,18,6,
18,6,24,6,6,6,6,6,24,6,6,6,6,6,2,6,18,2,6,6,6,6,18,6,6,6,6,6,6,6,2,2,9,9,9,9,
9,9,9,9,9,9,9,9,9,9,9,1,8,8,8,8,8,8,8,16,6,6,6,2,6,6,6,6,6,2,6,6,6,6,6,6,6,6,
6,6,6,6,9,1,2,2,1,1,2,2,8,6,6,2,1,2,1,2,1,1,1,1,1,2,1,1,1,1,1,1,1,1],[1,49,18,
81,42,9,24,24,8,32,126,162,126,324,81,168,2,42,81,54,54,18,6,6,42,162,54,54,
18,6,18,36,108,54,81,108,18,18,108,108,108,108,72,56,72,24,8,56,72,24,32,96,
96,96,32,96,32,42,81,108,162,54,42,42,324,108,162,54,36,54,162,36,108,108,108,
108,14,108,42,108,81,162,54,54,108,108,108,6,18,18,18,6,54,6,54,54,54,42,108,
54,54,9,9,54,54,54,54,18,18,81,54,54,9,9,108,108,36,54,54,36,108,54,36,18,18,
54,108,36,18,18,54,36,36,36,18,6,36,18,6,36,18,72,36,18,36,36,36,36,36,36,36,
18,18,54,54,108,108,108,108,36,36,36,36,36,18,18,18,36,18,36,36,16,72,72,56,
144,72,8,24,24,24,24,72,72,24,24,72,72,24,24,24,72,48,96,96,32,2,16,96,96,96,
96,24,54,54,42,108,54,9,54,54,54,18,81,54,9,108,54,108,108,108,108,18,18,54,
18,54,54,81,54,54,18,54,18,54,54,108,36,36,36,36,36,36,36,18,54,108,108,54,54,
108,36,36,36,36,18,54,54,108,54,54,54,108,9,9,18,36,36,6,18,36,36,18,18,36,1,
18,6,18,6,54,18,6,54,6,18,18,36,9,18,18,18,54,18,18,54,18,18,18,18,54,54,18,
18,9,18,54,36,18,18,9,9,9,18,18,18,18,18,18,9,18,36,9,18,18,54,18,18,54,9,18,
18,18,9,18,18,9,18,18,9,9,54,54,54,54,36,18,18,18,18,36,36,36,36,36,36,36,18,
36,36,18,36,36,36,36,36,18,36,18,36,36,36,36,36,36,36,36,36,32,16,32,16,16,32,
32,24,24,24,72,24,72,24,8,24,72,72,24,24,24,8,24,8,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,14,16,96,24,14,18,6,2,18,6,48,48,24,24,24,24,24,24,
9,18,18,54,18,54,18,6,18,54,54,18,18,18,18,9,9,18,18,9,18,54,18,54,9,18,9,18,
9,54,54,18,18,18,18,54,54,18,18,6,6,18,18,18,9,18,18,18,18,18,18,9,18,54,54,
36,36,36,36,1,6,18,18,18,9,18,9,18,9,18,18,18,18,36,36,6,9,6,6,18,18,18,18,18,
6,18,18,18,18,18,9,18,18,18,18,18,18,18,18,18,18,9,18,18,18,18,9,18,9,9,9,9,9,
9,9,9,9,18,18,18,18,9,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,36,36,32,
32,16,16,32,16,32,16,16,16,16,8,24,24,24,24,24,24,24,8,24,24,24,24,24,24,24,
18,14,36,18,18,48,24,24,24,18,18,18,2,6,6,6,6,18,6,6,18,6,6,6,12,2,24,24,24,
24,18,9,18,18,18,18,18,6,9,18,18,9,18,9,9,9,9,9,18,18,18,18,18,18,18,9,9,9,9,
9,18,6,18,18,18,9,9,9,9,9,18,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,18,16,16,16,8,
16,16,16,16,8,8,8,8,8,8,24,6,18,6,6,6,18,6,18,18,2,6,6,6,2,24,6,6,6,6,6,2,6,6,
6,6,2,6,6,6,6,6,6,6,6,6,6,6,6,6,2,6,2,6,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,16,8,8,
8,8,8,8,8,1,6,6,6,6,6,6,6,2,6,6,6,6,6,2,6,6,6,6,6,6,6,6,9,8,1,2,1,2,1,2,2,6,6,
2,1,2,2,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,36,18,81,72,36,4,8,4,16,8,108,162,
81,108,18,108,162,108,324,162,162,24,36,24,12,72,108,72,72,36,24,216,72,144,
12,108,24,72,24,48,432,72,216,24,81,108,324,324,162,162,81,81,108,324,324,4,8,
2,16,16,16,16,4,16,4,4,16,4,4,36,72,216,36,36,108,108,108,108,72,216,216,108,
108,36,36,108,108,36,72,216,432,72,216,216,162,81,162,81,81,24,24,48,4,24,36,
36,18,24,24,48,24,8,24,72,72,24,2,18,24,24,48,144,144,48,24,24,48,144,48,144,
36,24,144,36,24,24,36,24,48,36,4,144,48,48,48,36,36,36,108,108,108,108,108,
108,108,108,108,108,108,36,108,4,8,4,16,8,81,36,24,72,36,12,36,144,36,36,36,
18,18,18,36,36,24,72,72,12,36,144,72,72,24,72,2,12,18,12,36,36,36,36,36,144,
36,36,36,36,72,36,24,36,36,144,72,72,36,36,108,108,24,8,8,12,4,8,12,24,24,24,
24,12,8,16,4,12,24,8,48,48,24,8,24,36,18,36,36,12,36,72,18,18,36,18,18,18,18,
36,72,12,36,72,36,36,36,36,36,1,24,12,24,4,24,12,24,4,4,12,12,24,24,12,24,12,
24,4,48,4,12,12,4,24,24,18,18,18,18,18,18,18,4,2,8,1,4,12,12,12,4,12,12,12,12,
12,12,12,12,4,12,18,4,2,4,2,1,2,4,4,4,2,1,1,12,12,4,1,4,2,2,2,2,4,1,1,4,2,2,2,
1,2,1,1,1],[1,36,18,81,36,36,36,4,8,4,16,8,108,162,216,81,108,162,162,162,162,
162,162,216,24,36,12,72,108,72,36,24,216,72,24,72,24,12,108,72,24,432,72,216,
72,24,24,72,24,81,324,162,162,162,162,81,81,162,162,162,162,162,162,162,81,81,
81,162,81,4,8,2,16,16,16,16,4,16,4,4,16,4,4,36,72,216,108,108,216,216,72,108,
108,36,72,72,216,216,72,216,216,216,72,216,216,72,72,81,162,162,162,162,162,
162,81,81,24,24,48,4,24,36,36,24,24,18,24,24,72,2,18,24,48,144,144,24,24,144,
144,48,48,36,36,24,4,24,24,144,48,48,36,24,36,4,24,24,24,36,24,48,36,24,24,4,
144,48,36,36,108,216,108,216,4,8,4,16,8,81,36,24,72,36,12,36,144,36,24,36,72,
36,36,36,36,18,36,72,12,36,36,36,72,24,72,36,24,144,36,36,36,36,36,36,72,24,
144,36,72,36,36,36,36,36,24,72,36,24,36,72,36,144,36,36,36,36,24,72,36,72,36,
24,8,8,12,4,12,24,24,24,24,8,8,12,4,12,24,8,48,24,24,8,24,8,8,24,18,36,36,36,
72,36,36,36,36,18,18,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,1,24,12,24,4,24,24,8,12,24,24,24,24,12,24,12,4,24,24,24,24,24,24,
24,8,18,36,36,36,36,4,2,1,4,4,4,12,24,12,24,4,2,8,1,4,2,2,2,2,2,1,1,8,1,2,2,2,
2,2,2,2,2,1,1,2,2,1,2,1,2,2,2,1,1,2,1,2,2,2,2,2,1,1,1],[1,36,18,81,36,4,8,4,
16,8,108,162,81,108,162,162,24,36,12,72,108,72,36,24,216,12,108,72,24,432,72,
216,24,81,324,81,81,162,162,4,8,2,16,16,16,16,4,16,4,4,16,4,4,36,72,216,108,
108,216,108,108,36,72,216,216,81,81,81,24,24,48,4,24,36,36,18,24,24,72,2,18,
24,48,144,144,24,24,144,144,36,24,144,36,24,24,36,24,48,36,4,144,48,36,36,108,
108,4,8,4,16,8,81,36,24,72,36,12,36,144,36,36,18,36,72,12,36,36,36,36,36,36,
36,36,72,36,24,36,36,144,36,36,24,8,8,12,4,12,24,24,12,4,12,24,8,48,24,8,24,
18,36,72,18,18,36,36,36,36,36,1,24,12,24,4,24,12,12,24,12,4,24,24,18,4,2,1,4,
12,12,4,2,1,4,2,1,1,1,2,2,1,1,2,2,1,1,1,1],[1,18,81,72,36,4,8,4,16,8,81,108,
108,324,162,162,162,36,24,12,108,72,36,216,24,72,72,144,12,108,24,48,432,216,
24,72,162,81,162,324,162,81,81,162,4,8,2,16,16,16,16,4,16,4,4,16,4,4,36,108,
108,72,216,108,108,36,216,72,216,432,216,81,81,81,162,162,24,36,24,18,24,24,
48,24,8,24,72,72,24,2,18,24,144,144,48,48,144,48,144,48,48,36,24,24,144,36,36,
4,24,36,24,144,48,48,36,36,108,108,4,8,4,16,8,81,36,36,36,36,18,36,24,72,72,
12,36,144,72,72,24,72,12,36,36,144,144,36,36,36,36,36,36,36,36,36,72,72,72,36,
36,12,4,8,12,24,24,24,8,24,12,8,16,4,12,48,48,24,24,8,36,18,18,18,72,72,36,36,
36,36,36,36,36,1,12,24,4,12,24,24,24,12,24,12,4,48,24,18,36,2,8,1,4,12,12,4,1,
4,4,2,2,1,1,2,2,1,2,2,2,1,1,2,1,1,1,2,2,1],[1,18,81,72,36,4,8,4,16,8,81,108,
108,324,162,162,162,36,24,12,108,72,36,216,72,24,72,144,12,108,24,48,432,216,
72,24,162,81,162,324,81,81,162,162,4,8,2,16,16,16,16,4,16,4,4,16,4,4,36,108,
108,72,216,108,108,36,216,72,216,432,216,81,81,81,162,162,24,36,24,18,24,24,
48,24,8,24,72,72,24,2,18,24,144,144,48,48,144,48,144,36,36,4,144,48,48,24,36,
24,24,36,24,144,48,48,36,36,108,108,4,8,4,16,8,81,36,36,36,36,18,36,24,72,72,
12,36,144,72,72,24,72,12,36,36,144,36,36,36,144,36,36,36,36,36,36,72,72,36,72,
36,12,4,8,12,24,24,24,8,24,12,8,16,4,12,48,48,24,24,8,36,18,18,18,72,72,36,36,
36,36,36,36,36,1,12,24,4,12,24,24,24,12,24,12,4,48,24,18,36,2,8,1,4,12,12,4,1,
4,4,2,2,1,1,2,2,1,2,2,1,2,1,2,1,1,1,2,2,1],[1,18,81,36,4,8,4,16,8,81,18,162,
162,162,162,36,12,108,36,216,24,72,12,108,432,216,24,72,162,81,162,162,81,81,
162,4,8,2,16,16,16,16,4,16,4,4,16,4,4,36,108,108,108,36,108,216,216,81,81,81,
24,36,24,18,24,24,72,2,18,144,144,144,144,48,48,36,24,24,144,36,36,4,24,36,24,
144,36,36,108,108,4,8,4,16,8,81,36,36,36,18,18,18,72,2,18,36,144,36,36,36,36,
36,36,36,36,36,72,36,36,12,4,12,24,24,8,12,4,12,48,24,24,8,36,18,18,18,36,36,
36,36,36,1,12,4,12,24,12,4,12,24,18,2,1,4,12,12,2,1,2,2,2,1,1,2,2,1,2,1,1,2,1,
1,1,1],[1,18,81,36,4,8,4,16,8,81,18,162,162,162,162,36,12,108,36,216,72,24,12,
108,432,216,72,24,162,81,162,81,81,162,162,4,8,2,16,16,16,16,4,16,4,4,16,4,4,
36,108,108,108,36,108,216,216,81,81,81,24,36,24,18,24,24,72,2,18,144,144,144,
144,36,36,4,144,48,48,24,36,24,24,36,24,144,36,36,108,108,4,8,4,16,8,81,36,36,
36,18,18,18,72,2,18,36,36,36,36,144,36,36,36,36,36,36,36,72,36,12,4,12,24,24,
8,12,4,12,48,24,24,8,36,18,18,18,36,36,36,36,36,1,12,4,12,24,12,4,12,24,18,2,
1,4,12,12,2,1,2,2,2,1,1,2,2,1,1,2,1,2,1,1,1,1],[1,30,48,135,30,20,20,105,90,
90,90,16,105,135,270,15,15,15,45,90,135,135,90,90,90,90,36,40,60,60,120,180,
60,120,60,180,40,105,45,180,45,45,30,90,90,90,180,30,90,90,90,90,15,45,135,90,
45,45,90,90,135,45,45,135,45,135,135,45,90,135,135,270,180,10,108,36,108,20,
120,120,20,20,180,60,180,60,15,20,60,60,180,180,20,20,15,120,120,90,45,90,90,
45,15,45,45,45,45,90,90,15,45,45,45,15,90,15,45,45,135,135,15,45,15,45,45,45,
45,45,45,45,135,135,45,45,40,30,10,30,40,36,108,108,72,72,20,60,60,60,60,60,
60,30,30,30,45,15,45,60,60,20,45,60,60,60,60,15,30,45,45,15,45,45,45,15,45,45,
45,45,45,45,45,45,45,20,20,20,10,20,30,30,20,20,10,20,30,20,36,36,36,60,15,15,
30,30,30,30,15,15,15,45,45,15,15,60,15,45,15,45,15,6,6,45,20,10,20,20,20,10,
20,10,30,10,30,10,20,36,15,15,15,15,15,15,15,15,15,15,15,15,15,15,18,12,12,18,
10,10,10,10,10,10,10,15,15,6,6,6,6,6,6,10,1,6,6,2,3,1,1,1,1],[1,45,48,135,60,
15,20,20,180,270,180,540,135,15,135,135,135,90,45,16,45,135,270,135,90,45,90,
270,90,135,270,36,60,60,20,60,180,180,60,60,180,60,180,60,60,20,135,135,270,
270,135,60,135,540,270,270,135,90,270,45,270,135,270,135,270,135,135,270,45,
45,45,135,15,135,135,135,135,270,135,135,90,135,135,135,135,135,135,135,135,
270,135,30,45,135,270,45,45,135,90,10,108,36,108,60,60,180,360,180,20,180,180,
180,180,60,180,15,180,180,60,20,180,180,60,15,180,360,180,60,180,135,135,135,
270,135,90,135,135,135,135,135,270,270,270,270,45,135,90,135,135,135,135,135,
135,135,270,45,135,135,270,135,135,135,15,135,135,45,45,135,135,135,135,135,
15,45,45,135,135,60,30,20,10,30,60,20,108,36,108,108,36,20,180,180,180,180,60,
60,45,45,45,45,15,15,45,15,45,180,60,180,15,60,180,20,180,15,45,45,15,45,135,
135,135,135,15,45,135,135,135,135,15,45,45,45,60,60,30,60,60,10,30,30,60,60,
10,10,30,30,10,60,60,108,36,108,60,45,45,45,45,90,45,45,90,45,45,45,45,45,15,
45,45,15,45,45,15,45,45,60,15,45,6,6,45,20,30,60,30,30,60,30,10,20,30,30,30,
30,60,10,30,36,45,15,45,45,15,45,45,45,45,45,15,15,15,15,18,18,6,18,18,6,10,
30,30,30,30,10,10,15,15,18,6,18,18,18,6,10,1,6,6,3,3,1,3,3,1,1],[1,30,46,45,
60,30,20,20,105,90,90,90,15,90,45,45,105,90,15,46,105,45,90,90,105,180,90,90,
90,36,40,20,40,60,120,60,120,20,120,60,60,40,120,40,90,45,90,45,30,105,90,180,
45,180,30,90,90,90,15,90,45,45,30,45,90,90,15,90,90,45,45,45,45,45,45,90,45,
45,90,30,105,45,90,180,90,90,90,90,180,10,36,36,36,20,120,120,20,20,60,60,60,
60,120,120,15,60,60,20,20,60,60,20,15,120,120,120,120,45,90,90,15,90,45,45,45,
90,90,15,45,45,45,45,45,45,15,45,15,45,90,90,45,45,45,45,45,15,15,45,45,90,45,
45,45,45,45,45,90,90,40,10,40,10,10,40,40,36,36,36,72,72,20,60,60,60,60,60,60,
30,30,30,15,30,15,15,30,15,60,60,60,30,60,60,20,60,15,30,15,30,45,45,45,15,45,
45,45,15,45,45,45,45,45,45,45,20,20,20,20,10,10,10,20,20,20,20,10,20,10,20,20,
20,20,36,36,36,60,15,15,30,30,30,30,15,15,15,15,15,15,30,30,15,15,15,15,15,15,
60,30,30,6,6,45,20,10,20,20,20,40,10,10,20,10,10,10,10,20,20,20,40,36,15,15,
15,15,15,15,15,15,15,15,15,15,15,15,6,12,12,12,6,12,10,10,10,10,10,10,10,15,
15,6,6,6,6,6,6,10,1,6,6,2,1,2,1,1,1,1],[1,15,48,135,60,45,20,20,45,90,270,135,
16,45,135,270,135,135,15,45,90,135,135,180,180,90,90,270,135,540,270,36,20,60,
60,60,60,180,180,60,60,60,180,20,180,60,45,135,135,15,45,135,135,30,270,45,
135,135,270,135,270,90,90,135,45,135,60,135,135,45,135,135,135,45,135,135,135,
135,135,270,135,270,135,135,270,270,540,45,135,135,270,270,135,135,135,270,
270,270,90,10,108,36,108,60,60,180,20,60,180,180,180,180,180,180,360,15,20,
180,180,180,180,60,60,15,60,180,180,180,360,135,45,135,45,135,45,135,135,135,
135,135,270,90,135,135,135,135,135,135,270,15,15,135,45,135,135,45,90,135,270,
135,135,135,135,135,270,135,135,135,45,135,135,135,135,135,270,270,270,20,30,
60,10,30,20,60,36,108,108,36,108,20,180,180,60,60,180,180,15,15,15,45,45,15,
45,45,60,60,20,45,45,180,180,180,180,15,15,45,45,45,135,135,15,45,135,135,15,
45,135,135,45,45,135,135,60,10,60,10,60,30,30,60,60,30,60,10,10,30,30,60,60,
36,108,108,60,45,15,45,15,45,45,45,45,15,45,45,45,45,45,90,15,60,45,45,45,45,
45,45,45,90,6,6,45,20,30,60,10,30,10,20,30,30,30,30,30,60,30,30,60,36,15,45,
45,45,15,45,15,45,15,45,15,15,45,45,18,6,18,6,18,18,10,30,30,10,10,30,30,15,
15,6,18,18,18,6,18,10,1,6,6,1,3,3,3,1,3,1],[1,15,46,45,30,15,20,20,45,60,90,
45,15,60,45,45,45,60,15,46,45,45,90,60,45,90,45,90,90,36,20,20,20,60,60,60,60,
20,60,60,60,20,60,20,45,45,45,15,45,45,45,15,60,90,45,45,45,90,90,15,45,45,45,
15,45,90,45,45,45,90,45,15,90,45,45,45,45,45,45,45,45,15,45,45,45,60,45,90,90,
10,36,36,36,20,60,60,20,20,60,60,60,60,60,60,15,60,60,20,20,60,60,20,15,60,60,
60,60,45,45,45,45,45,15,45,45,45,45,45,15,45,90,45,45,45,45,45,15,45,15,45,45,
15,45,45,45,90,45,45,45,45,45,45,45,15,45,45,45,45,20,10,20,10,10,20,20,36,36,
36,36,36,72,20,60,60,60,60,60,60,15,15,15,15,15,15,15,15,15,15,60,60,60,60,60,
20,60,15,15,15,15,45,45,45,15,45,45,45,15,45,45,45,45,45,45,45,20,10,20,20,10,
10,10,20,20,10,10,10,10,10,20,20,36,36,36,60,15,15,15,15,15,15,15,15,15,15,15,
15,15,15,15,15,15,15,15,15,15,15,60,6,6,45,20,10,20,10,10,10,10,20,10,10,10,
10,20,10,10,36,15,15,15,15,15,15,15,15,15,15,15,15,15,15,6,6,6,6,6,6,10,10,10,
10,10,10,10,15,15,6,6,6,6,6,6,10,1,6,6,1,1,1,1,1,1,1],[1,50,225,20,20,16,225,
360,16,46,360,270,90,180,90,90,36,100,60,300,100,60,300,120,46,270,135,120,
270,270,180,135,180,45,270,270,360,360,180,180,10,180,36,180,20,20,20,300,180,
180,60,15,20,300,180,20,20,180,60,15,15,30,60,270,180,180,90,180,180,45,45,15,
60,180,90,180,45,90,45,90,45,50,10,50,36,180,108,36,36,108,36,20,60,60,60,60,
60,60,75,15,75,60,20,60,75,60,60,60,60,15,75,60,45,60,90,90,90,45,90,45,10,10,
10,50,30,30,10,10,50,20,36,36,36,36,36,36,36,60,15,15,15,75,45,45,15,15,60,75,
45,15,15,45,15,6,6,45,10,10,10,10,10,10,10,50,30,30,10,36,15,15,15,15,15,15,
15,15,15,15,15,15,15,15,30,30,10,10,10,10,10,10,10,15,15,6,6,6,6,6,6,10,1,6,6,
5,1,1,1,1],[1,48,135,30,30,20,20,15,15,135,135,90,105,16,45,15,270,135,90,105,
90,90,90,90,90,90,36,60,40,60,180,120,60,60,180,120,40,45,90,45,135,30,45,45,
15,90,45,45,90,135,45,135,90,135,45,135,45,90,135,135,270,90,30,90,90,90,105,
90,45,180,90,180,180,10,108,36,108,20,20,20,180,60,180,60,120,120,15,60,180,
20,20,180,60,20,15,120,120,45,15,45,135,15,135,15,90,90,15,45,45,45,45,45,45,
45,45,45,45,90,45,45,45,15,45,15,135,90,135,45,45,45,45,45,90,90,30,40,10,30,
40,108,36,108,72,72,20,60,60,60,60,60,60,45,30,15,45,30,45,30,60,60,60,60,60,
20,60,15,45,30,45,45,45,45,15,45,45,15,45,45,45,45,45,45,45,20,10,20,30,30,20,
20,20,20,10,30,20,20,36,36,36,60,15,15,15,45,15,45,15,30,30,15,45,15,15,15,45,
15,30,30,60,6,6,45,20,10,20,10,20,10,30,10,30,10,20,20,20,36,15,15,15,15,15,
15,15,15,15,15,15,15,15,15,18,12,18,12,10,10,10,10,10,10,10,15,15,6,6,6,6,6,6,
10,1,6,6,3,2,1,1,1,1],[1,24,135,70,30,4,10,80,1,105,135,45,90,75,8,3,105,270,
45,90,75,90,30,270,90,270,90,6,60,40,4,60,40,90,70,80,10,90,70,30,30,240,240,
15,30,3,45,10,135,135,105,270,135,45,90,45,135,45,90,135,135,45,45,90,45,45,
90,90,30,30,270,90,75,30,135,180,90,180,180,40,54,6,54,60,20,60,60,60,60,60,
40,120,1,10,20,90,30,90,30,90,30,30,30,90,30,90,30,90,30,5,40,120,70,180,90,
240,30,90,60,24,45,5,45,45,15,45,15,30,90,45,45,135,45,135,45,45,135,135,45,
45,90,45,45,45,15,15,45,45,90,45,45,45,45,45,45,90,90,40,40,40,40,40,40,40,6,
54,18,18,18,54,18,42,18,36,60,60,60,20,60,60,60,15,10,1,15,10,30,10,30,30,30,
10,10,60,60,20,45,90,30,30,30,90,30,30,30,30,30,30,30,30,30,90,30,30,30,30,30,
30,30,90,30,30,30,30,30,35,15,120,120,24,24,24,45,45,45,15,15,45,45,45,45,45,
45,45,45,45,45,20,40,40,40,40,40,40,40,10,6,18,18,18,54,18,18,54,18,18,18,60,
15,5,15,15,15,15,15,10,30,5,10,30,30,30,30,10,30,30,60,45,15,15,15,45,15,30,
30,30,30,30,30,30,30,1,24,24,24,6,45,20,20,20,40,10,10,10,10,10,10,10,18,18,6,
18,18,18,18,15,15,15,5,15,15,15,15,15,5,30,30,15,15,15,15,9,7,3,24,6,6,6,20,5,
10,10,10,10,10,10,10,18,4,15,15,1,9,3,3,3,9,3,6,6,6,5,5,5,10,4,4,4,3,3,1,3,3,
3,3,6,5,4,1,3,1,1,1,1],[1,24,135,30,70,14,80,3,45,135,135,30,135,6,3,45,180,
45,90,195,90,90,90,30,270,270,6,150,30,14,150,30,110,110,80,240,240,45,30,3,
45,30,45,135,45,90,135,45,60,135,45,45,180,45,135,45,135,90,45,45,90,270,10,
30,90,90,135,30,135,360,90,180,180,40,54,6,54,30,30,90,150,90,30,90,30,30,90,
30,90,150,90,150,6,60,120,30,60,90,110,90,300,240,24,45,15,45,45,45,45,45,30,
90,15,45,45,45,45,45,45,135,45,135,45,90,45,45,45,5,15,15,45,180,45,135,45,45,
45,45,90,90,80,40,80,40,40,18,54,54,6,18,18,18,18,42,36,30,30,30,30,30,30,30,
60,30,30,10,30,30,30,10,20,90,30,90,30,90,30,30,30,90,150,30,30,90,90,10,30,
30,30,90,30,90,30,1,15,15,45,60,180,120,24,24,24,45,45,45,15,45,45,45,15,45,
45,45,45,45,45,45,30,80,40,80,40,40,18,18,18,18,18,6,18,54,54,18,18,15,30,30,
30,30,30,30,30,15,15,15,30,10,15,15,15,45,60,10,10,30,30,30,10,30,60,90,30,30,
30,1,6,24,24,24,45,10,30,10,10,10,30,30,40,18,18,18,18,18,6,18,15,15,15,30,15,
15,15,5,15,5,15,30,15,15,30,9,3,7,6,6,6,24,5,10,10,10,10,30,10,10,18,4,15,15,
3,3,3,1,3,9,9,6,6,6,5,5,5,10,4,4,4,3,3,3,1,3,3,3,6,5,1,4,3,1,1,1,1],[1,30,24,
135,70,10,4,80,75,90,90,270,8,75,135,270,105,105,1,3,90,45,45,90,90,30,270,6,
30,90,70,10,30,90,70,60,40,80,4,60,40,240,240,75,45,180,135,135,10,30,90,90,
180,30,270,30,90,90,105,3,45,90,135,135,30,90,135,45,15,45,135,45,45,135,270,
45,45,90,180,40,54,6,54,30,90,30,60,90,30,30,10,90,30,90,30,90,30,90,30,90,30,
70,90,180,5,20,40,60,60,60,60,60,60,1,20,120,40,120,240,24,90,135,30,90,45,15,
45,45,45,45,90,90,45,135,45,45,15,90,5,135,15,45,45,45,45,15,45,45,45,45,45,
135,45,45,45,45,45,40,40,40,40,40,40,40,18,54,54,6,18,18,18,18,42,36,30,10,30,
30,30,30,30,30,30,90,30,90,30,30,30,30,30,30,30,30,30,30,30,10,10,30,30,90,30,
90,30,30,30,30,30,10,20,15,45,35,60,20,60,120,15,60,60,60,60,1,10,15,60,60,
120,24,24,24,45,15,45,45,45,45,45,45,45,45,45,15,45,45,45,10,40,40,40,40,40,
40,40,20,18,18,18,18,18,6,18,54,54,18,18,30,30,30,10,30,30,30,30,30,30,30,30,
30,30,30,15,10,30,60,15,45,15,15,5,45,15,5,10,60,15,15,15,15,15,1,6,24,24,24,
45,10,10,10,10,10,10,10,40,20,20,20,18,18,18,18,18,6,18,30,15,15,15,15,5,15,
15,15,15,15,5,15,30,15,15,3,9,7,6,6,6,24,10,10,10,10,10,10,10,5,20,18,4,15,15,
3,9,3,3,1,3,9,6,6,6,10,5,5,5,4,4,4,3,1,3,3,3,3,3,6,5,1,4,3,1,1,1,1],[1,70,24,
135,30,14,80,195,270,90,270,6,135,135,180,45,45,3,3,30,135,45,30,90,90,90,6,
110,150,30,14,110,150,30,80,240,240,135,135,360,135,135,30,30,270,90,180,10,
90,30,90,60,45,3,45,180,135,135,30,90,45,45,45,135,45,45,45,45,90,45,45,90,
180,40,54,6,54,150,90,110,300,90,30,90,30,30,30,150,150,90,90,90,90,30,30,30,
90,60,240,6,60,120,24,180,135,30,90,45,45,135,45,45,135,90,90,15,45,45,45,5,
90,15,45,15,45,45,15,45,45,45,45,45,45,45,45,45,45,45,45,45,80,40,80,40,40,6,
54,18,18,18,54,18,42,18,36,90,30,30,150,90,90,30,10,30,90,90,30,30,30,30,90,
10,30,30,90,90,30,30,30,30,30,30,30,30,30,30,30,30,30,30,10,20,45,60,15,1,15,
180,60,120,24,24,24,45,45,45,45,45,15,45,45,45,45,45,15,45,45,45,80,80,40,40,
40,30,6,18,18,18,54,18,18,54,18,18,18,30,90,30,30,30,30,30,10,30,30,30,30,30,
30,30,15,10,30,60,60,45,10,30,15,15,15,15,15,15,10,1,24,24,24,6,45,40,10,30,
10,30,30,10,10,18,18,6,18,18,18,18,30,15,15,15,30,15,15,15,5,15,15,5,15,15,30,
7,9,3,24,6,6,6,10,10,10,30,10,10,10,5,18,4,15,15,9,9,1,3,3,3,3,6,6,6,10,5,5,5,
4,4,4,3,3,3,1,3,3,3,6,5,4,1,3,1,1,1,1],[1,45,22,80,22,160,80,15,15,45,36,90,
60,90,60,45,40,80,11,160,160,160,160,40,160,40,40,160,40,40,36,30,30,90,15,60,
30,60,30,90,15,60,60,72,72,120,45,120,120,10,120,90,15,90,15,40,80,40,160,80,
72,72,30,15,60,30,15,60,45,10,30,60,30,60,36,60,20,60,20,6,6,30,45,30,30,30,
10,36,20,15,15,20,10,12,12,12,12,15,15,10,1,6,6,2,2,1],[1,30,225,20,200,225,
10,450,150,12,72,72,300,20,300,600,150,225,100,180,12,180,360,360,300,100,300,
10,200,600,120,25,200,100,180,60,180,150,100,36,120,120,120,100,100,60,50,50,
72,36,60,60,2,60,120,100,36,30,60,25,20,10,12,20,12,10,1],[1,30,225,20,200,10,
225,450,150,12,72,72,300,20,300,600,150,225,100,180,12,180,360,360,100,300,
300,10,200,600,120,25,200,100,60,180,180,100,150,36,120,120,120,100,100,60,50,
50,72,36,2,60,60,120,60,100,36,30,60,25,20,10,12,20,12,10,1],[1,30,225,10,10,
200,5,225,225,5,225,150,12,72,72,150,10,150,150,10,150,600,75,75,225,100,180,
12,180,360,360,50,150,150,5,50,100,150,150,5,100,600,60,60,25,100,100,100,30,
180,90,30,90,50,75,50,75,36,60,60,60,60,60,60,50,100,50,30,30,25,25,50,72,36,
1,1,60,60,60,30,30,60,50,50,36,15,15,30,30,25,10,10,5,5,6,6,10,10,6,6,5,5,1],[
1,50,225,20,20,15,225,225,15,45,225,225,37,72,72,100,60,300,100,60,300,75,45,
225,75,225,225,225,10,225,37,225,360,360,300,15,300,15,20,20,225,50,10,50,15,
225,45,15,45,45,45,75,15,75,75,15,75,36,20,60,60,20,60,60,50,10,50,15,45,45,
15,45,45,45,10,75,75,72,36,6,6,60,15,15,60,50,45,10,10,10,36,30,30,15,15,15,
15,15,15,10,10,10,15,15,6,6,1,10,6,6,5,1,1],[1,60,48,135,60,21,40,20,40,225,
270,180,270,15,180,135,135,45,15,45,180,135,135,270,36,95,105,15,61,255,225,
15,120,60,120,360,240,120,60,180,80,120,360,180,135,270,135,60,180,270,270,60,
270,180,270,45,45,135,135,180,270,45,135,135,135,135,20,20,10,40,40,108,36,
108,105,45,255,450,45,15,45,15,45,45,225,225,45,45,45,45,45,45,15,45,90,360,
15,30,180,180,60,15,30,240,360,360,36,135,180,270,45,135,270,270,45,135,135,
135,80,80,40,20,80,60,60,30,60,60,20,20,60,60,20,10,30,80,120,120,120,120,40,
108,144,45,15,45,225,45,45,45,15,45,45,45,45,45,45,15,45,15,45,45,45,45,45,45,
15,15,45,45,45,45,45,45,45,45,45,45,60,30,60,30,60,45,15,45,90,90,45,180,15,
60,45,90,90,10,36,36,36,135,60,80,120,60,40,60,120,60,60,15,15,30,60,60,60,60,
60,60,20,60,10,40,30,60,120,108,45,45,45,15,45,45,45,15,45,45,45,45,45,45,45,
45,45,60,90,90,60,90,90,45,45,45,45,20,20,10,10,20,10,20,6,6,36,36,36,15,30,
60,15,40,60,15,15,15,15,15,15,15,15,15,15,15,15,30,30,60,45,45,45,20,10,20,10,
10,20,10,10,10,10,20,18,24,24,18,36,15,15,15,30,15,15,15,15,15,15,15,15,15,15,
15,6,6,10,10,10,10,10,10,10,18,18,15,15,1,6,6,6,6,6,6,10,4,3,6,6,1,3,1,1,1,
1],[1,48,135,24,160,20,160,16,135,270,15,45,135,135,90,90,36,240,60,180,60,60,
180,90,45,135,135,45,135,135,135,135,135,270,80,80,10,160,160,108,36,108,80,
60,180,180,180,16,160,20,40,180,180,15,120,360,360,144,15,15,45,135,135,135,
135,240,30,240,10,30,36,108,108,180,60,90,15,45,60,45,15,45,40,144,45,80,10,
40,60,30,30,10,30,20,40,36,30,15,45,45,45,30,15,30,45,45,40,6,6,36,60,60,10,
60,30,30,60,45,15,15,40,10,18,18,36,10,15,15,24,24,10,6,6,15,15,1,10,3,6,6,4,
1,1],[1,48,135,20,24,160,160,15,135,135,16,45,270,135,90,90,36,60,60,180,240,
60,180,45,45,135,90,135,135,135,135,135,135,270,80,10,160,80,160,108,36,108,
20,180,180,15,60,120,180,80,180,180,16,40,160,360,360,144,15,135,135,15,45,
135,135,30,240,10,30,240,108,36,108,60,45,15,45,180,90,60,15,45,40,144,45,20,
10,40,30,30,10,30,60,80,40,36,15,45,45,15,30,45,30,45,45,30,40,6,6,36,60,10,
30,30,60,60,60,15,45,15,10,40,18,18,36,10,15,15,24,24,10,6,6,15,15,1,10,3,6,6,
4,1,1],[1,48,135,60,60,20,21,40,40,15,135,135,180,180,15,45,45,135,135,180,
225,270,270,270,36,60,80,60,180,240,105,15,120,61,225,15,255,95,120,360,120,
360,120,45,180,45,135,60,45,135,135,135,135,135,270,135,135,270,60,180,270,
270,180,180,270,270,20,10,40,20,40,108,36,108,60,180,180,240,360,15,15,30,45,
45,225,45,45,45,15,45,45,45,45,225,45,105,15,30,15,90,45,360,255,45,450,360,
36,135,135,45,180,270,45,135,135,135,270,270,30,20,80,40,20,20,60,60,60,60,10,
30,80,120,120,80,60,80,40,60,20,120,120,108,144,180,45,60,15,45,60,45,15,45,
45,45,15,15,90,90,30,45,45,45,15,45,45,45,60,30,45,45,45,45,45,45,15,45,45,
225,45,45,45,45,15,45,45,45,45,45,45,45,15,45,60,90,90,10,36,36,36,135,60,30,
60,20,60,60,40,60,120,60,60,60,60,10,30,40,60,15,15,120,60,80,60,60,120,108,
45,45,45,60,90,45,45,45,45,15,45,45,90,45,45,45,15,45,45,45,60,90,90,45,45,45,
45,20,10,20,10,10,20,20,6,6,36,36,36,30,30,30,60,40,60,15,15,15,15,15,15,15,
15,15,15,15,15,15,15,60,45,45,45,20,10,20,10,20,10,10,10,10,10,20,18,24,18,24,
36,30,15,15,15,15,15,15,15,15,15,15,15,15,15,15,6,6,10,10,10,10,10,10,10,18,
18,15,15,1,6,6,6,6,6,6,10,3,4,6,6,1,3,1,1,1,1],[1,24,135,60,60,2,12,40,40,90,
135,90,90,5,9,90,135,135,180,270,270,6,30,20,6,90,60,120,60,120,16,180,60,120,
80,120,360,120,360,120,135,90,270,45,135,135,135,135,135,90,270,90,270,20,1,
40,20,40,54,6,54,30,10,30,90,90,90,90,60,180,90,90,180,90,30,10,90,90,90,180,
120,5,20,20,60,180,360,120,360,360,12,12,135,135,135,45,135,135,135,15,20,20,
40,20,20,60,60,60,60,1,15,20,120,120,80,60,80,40,60,20,120,120,54,54,54,36,36,
30,90,90,30,90,90,90,45,90,90,90,90,90,90,30,90,180,90,90,30,90,30,30,60,60,
10,12,36,36,12,36,36,135,30,10,5,20,30,15,15,30,30,20,60,60,10,30,120,60,60,
60,60,1,15,10,30,10,20,120,60,80,60,60,120,54,54,54,6,90,45,45,45,90,90,20,10,
20,10,10,20,20,1,12,36,36,36,36,12,30,15,30,10,30,30,5,30,60,15,15,15,15,15,
30,60,10,30,30,30,10,60,60,54,6,6,6,45,5,20,10,20,10,20,10,10,10,10,10,20,9,6,
6,36,36,15,15,15,30,5,15,15,15,30,2,2,12,6,12,6,6,10,5,10,10,10,10,10,10,10,
10,9,9,9,15,2,6,6,6,6,2,6,6,6,5,5,5,10,9,1,6,6,6,5,2,1,2,1,1,1,1],[1,60,24,
135,60,12,40,2,40,180,270,5,90,135,135,90,90,9,90,135,270,6,80,120,60,16,120,
180,60,120,30,120,360,60,120,6,90,20,120,360,90,135,270,90,270,45,90,135,135,
135,135,135,270,20,20,1,40,40,54,6,54,120,120,360,10,30,90,90,180,180,90,90,
90,90,60,180,360,5,20,10,20,90,90,90,90,30,30,60,180,360,12,12,135,135,135,
135,45,135,135,80,20,40,20,80,60,60,15,60,60,20,20,60,60,20,1,15,20,120,120,
120,120,40,54,54,54,36,36,30,90,180,90,90,30,90,90,90,90,90,90,90,30,45,30,60,
90,30,30,60,90,90,90,90,10,12,36,36,12,36,36,135,30,80,120,60,10,30,120,60,60,
10,5,20,30,15,15,30,30,60,60,60,60,60,20,60,1,10,15,30,10,20,120,54,54,54,6,
90,90,45,45,45,90,20,20,10,10,20,10,20,1,12,36,36,36,36,12,30,15,30,60,10,30,
10,30,30,5,30,60,15,15,15,15,15,30,60,30,30,10,60,54,6,6,6,45,20,10,20,10,10,
20,10,10,10,10,20,5,6,9,6,36,36,15,15,15,30,5,15,15,15,30,2,2,12,6,12,6,6,10,
10,10,10,10,10,10,10,5,10,9,9,9,15,2,6,6,6,6,2,6,6,6,10,5,5,5,9,1,6,6,6,5,2,1,
2,1,1,1,1],[1,36,18,81,72,36,36,36,4,8,4,16,8,108,162,216,81,108,18,108,162,
108,324,162,162,162,162,162,162,216,24,36,24,12,72,108,72,72,36,24,216,72,24,
72,24,72,144,12,108,24,72,24,48,432,72,216,72,24,24,72,24,81,108,324,324,162,
162,162,162,162,162,81,81,162,162,108,324,324,162,162,162,162,162,81,81,81,
162,81,162,162,4,8,2,16,16,16,16,4,16,4,4,16,4,4,36,72,216,36,36,108,108,108,
108,72,216,216,216,72,108,108,36,36,108,108,36,72,72,216,216,72,216,432,72,
216,216,216,72,216,216,72,72,162,81,162,162,162,162,162,162,81,81,162,81,81,
81,81,162,162,162,162,24,24,48,4,24,36,36,24,24,18,24,24,48,24,8,24,72,72,24,
2,18,24,24,48,144,144,48,24,24,48,144,48,144,48,48,36,36,24,4,24,24,144,48,48,
36,24,36,4,24,24,24,36,24,48,36,24,24,4,144,48,48,48,36,36,36,108,108,108,108,
108,108,216,108,108,108,108,108,36,108,216,4,8,4,16,8,81,81,81,81,81,81,81,36,
24,72,36,12,36,144,36,24,36,72,36,36,36,36,36,18,18,18,36,36,24,72,72,12,36,
144,72,72,24,72,2,12,18,12,36,36,36,36,72,24,72,36,24,144,144,36,36,36,36,36,
36,72,24,144,36,72,36,36,36,36,36,24,72,36,24,36,72,36,144,36,36,36,36,24,72,
72,72,36,72,36,108,108,24,8,8,12,4,8,12,24,24,24,24,24,8,8,24,12,8,16,4,12,24,
8,48,48,24,24,8,24,8,8,24,81,36,18,36,36,36,36,12,36,72,36,36,36,36,18,18,36,
18,18,18,18,36,72,12,36,72,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,1,24,12,24,4,24,24,8,12,24,4,4,12,12,24,24,24,
24,24,24,12,24,12,24,4,48,4,12,12,4,24,24,24,24,24,24,24,8,18,18,18,36,18,18,
18,18,36,36,36,36,36,4,2,8,1,4,4,4,12,12,12,4,12,24,12,12,12,12,12,12,12,4,12,
24,18,4,2,8,4,2,1,2,4,4,4,2,2,2,2,2,1,1,8,12,12,4,1,4,2,2,2,2,2,2,2,2,4,2,2,1,
1,4,2,2,2,2,1,2,1,2,2,2,1,1,2,2,2,2,1,2,2,2,2,2,1,1,2,1,1,1,1,2,2,2,2,1,1,1,1,
1,1,1,1],[1,45,50,225,90,45,20,20,180,270,210,720,225,16,150,225,360,180,150,
16,46,180,360,270,210,180,90,90,180,540,90,225,720,270,90,36,60,100,60,60,180,
300,180,100,180,60,300,60,180,60,150,135,360,360,270,60,150,540,360,360,270,
180,90,270,180,60,540,150,360,225,360,360,270,540,90,90,120,150,46,270,60,180,
270,270,150,360,270,270,135,45,120,270,270,270,180,180,135,360,180,135,45,360,
270,270,360,360,360,540,60,150,270,540,360,150,150,270,360,360,180,270,360,
180,90,180,180,180,10,180,36,180,60,100,180,360,300,20,20,20,60,20,300,180,
180,60,300,180,180,60,180,300,360,15,20,180,60,300,180,60,20,20,20,180,60,300,
180,100,60,15,180,360,300,180,300,360,180,270,150,360,270,45,90,180,180,90,
135,180,45,180,360,360,360,360,90,180,180,90,120,270,135,180,270,180,180,90,
270,270,360,360,180,180,120,270,270,360,270,270,180,135,45,180,360,180,15,90,
30,180,60,270,180,60,180,90,90,150,360,45,60,90,90,180,90,90,180,90,90,180,90,
270,180,180,180,45,90,270,360,180,180,45,135,45,90,90,45,90,15,60,90,180,90,
180,180,45,90,180,180,45,180,90,45,90,180,45,45,360,360,360,180,60,50,60,10,
50,60,60,36,180,108,36,36,108,36,108,108,72,20,20,20,180,60,180,60,20,20,300,
180,180,60,20,60,60,60,60,20,60,60,60,60,60,60,60,60,180,60,180,60,60,60,60,
60,45,45,45,75,45,15,75,45,60,60,20,20,60,60,20,75,180,60,60,60,180,60,45,60,
60,60,60,60,60,60,60,300,180,60,60,180,180,20,20,180,60,20,20,60,60,15,45,75,
45,45,60,90,180,90,180,90,60,90,270,180,180,90,90,90,45,45,15,60,180,90,180,
45,90,45,90,45,90,90,180,180,90,90,30,60,90,180,180,45,90,60,90,90,90,90,45,
90,15,60,180,90,180,45,90,45,90,45,60,45,90,90,90,60,90,60,180,90,90,90,90,45,
60,90,90,90,90,90,90,180,45,90,90,45,90,45,45,90,60,100,30,60,100,10,20,10,60,
10,50,30,30,10,60,20,100,60,30,60,10,30,50,30,60,100,60,20,36,36,36,36,108,36,
36,180,108,36,36,20,60,60,60,60,60,60,60,60,60,60,60,60,60,60,45,45,75,45,90,
75,45,90,75,75,45,75,75,15,15,15,45,15,75,45,15,45,45,15,45,90,15,60,60,60,60,
60,20,60,15,75,45,45,15,15,15,45,45,15,75,45,60,60,60,60,45,75,90,60,60,60,60,
6,6,90,45,60,90,90,90,60,45,90,90,45,90,45,90,90,45,45,90,45,20,20,20,30,20,
60,20,20,20,50,60,20,30,60,50,40,10,10,10,20,20,20,10,20,10,10,20,20,30,10,10,
20,20,50,30,30,10,50,30,30,10,20,60,60,20,20,20,30,50,60,40,36,36,36,36,36,36,
36,60,15,15,45,15,15,15,45,15,45,15,15,15,45,15,15,15,75,45,45,15,75,45,15,15,
45,15,15,15,15,15,15,15,15,45,15,15,15,15,15,15,15,15,15,15,45,15,15,15,15,15,
15,15,15,60,15,15,15,15,15,15,15,45,15,15,15,15,15,45,15,15,15,30,18,18,18,30,
18,45,20,10,20,10,20,10,20,30,10,30,10,10,10,50,30,30,10,10,20,10,10,10,10,20,
10,10,10,10,10,10,10,10,10,20,30,10,30,10,10,10,10,10,20,36,15,15,15,15,15,15,
15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,6,18,
6,6,6,30,18,18,30,6,6,6,6,18,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,1,
15,15,6,6,6,6,6,6,6,6,6,6,6,6,6,6,10,3,5,3,6,6,3,5,1,1,1,1,3,1,1,1,1,1,1,1,
1],[1,45,45,45,22,80,22,160,80,135,135,15,135,15,45,135,36,75,90,15,60,225,45,
360,90,120,180,360,60,60,120,135,45,135,45,135,45,135,40,80,11,160,160,160,
160,40,160,40,40,160,40,40,36,45,45,180,30,45,30,45,90,135,135,135,135,15,60,
30,60,30,90,15,60,60,180,72,72,135,120,75,240,20,120,180,45,60,15,120,120,20,
120,180,60,10,60,240,120,120,120,120,120,120,120,120,108,45,15,45,15,45,90,
135,45,45,45,135,135,135,45,90,45,90,45,15,90,90,15,45,90,40,80,40,160,80,72,
72,45,60,180,45,30,30,15,60,45,30,15,60,45,45,60,180,10,30,30,60,30,60,36,45,
135,45,45,120,40,40,60,20,20,60,120,60,60,20,40,20,120,6,6,36,108,45,15,15,30,
45,15,15,30,45,30,15,30,45,45,45,90,45,30,15,45,45,90,30,30,10,36,60,30,10,10,
20,30,15,15,60,20,18,18,45,15,15,45,45,20,10,20,12,12,12,12,36,15,30,15,10,15,
15,15,15,10,10,10,1,6,18,6,18,15,15,6,6,10,3,2,2,6,6,1,3,1,1],[1,54,405,22,80,
22,160,80,15,405,405,15,45,405,405,36,270,66,810,270,2160,66,810,4320,2160,
135,45,405,135,405,405,405,40,80,11,160,160,160,160,40,160,40,40,160,40,40,
324,36,324,30,30,90,810,270,270,270,15,60,30,60,810,270,30,90,270,270,15,60,
60,72,72,405,240,360,135,240,240,720,11,135,1440,1440,1440,1440,360,1440,360,
240,360,1440,360,360,324,90,90,270,90,270,270,270,135,15,135,540,90,90,270,
540,135,90,270,270,270,15,135,540,540,40,80,40,160,80,72,216,216,72,216,216,
360,30,15,60,30,15,60,45,135,45,45,45,720,10,90,30,60,30,60,360,36,270,135,
270,135,120,40,120,240,120,40,120,480,240,6,6,216,216,30,90,90,45,15,45,180,
30,90,90,15,45,180,45,45,90,90,30,90,180,90,30,90,180,10,36,36,36,120,20,60,
15,15,120,20,60,54,54,90,45,90,90,90,20,10,12,12,12,12,36,60,15,15,15,15,15,
15,60,10,10,10,1,36,36,36,36,15,15,6,6,10,9,2,2,6,6,6,6,1,1],[1,45,45,45,22,
80,22,160,80,15,135,135,15,45,135,135,36,90,60,60,180,90,45,360,60,15,225,75,
120,360,120,135,45,45,45,135,135,135,40,80,11,160,160,160,160,40,160,40,40,
160,40,40,36,30,30,90,180,15,60,30,60,135,135,45,45,30,90,135,135,45,45,15,60,
60,180,72,72,135,120,45,60,60,120,120,20,120,180,60,10,15,75,120,120,120,120,
120,120,180,120,240,20,240,120,120,108,90,45,15,45,135,45,90,45,15,90,90,45,
135,45,90,135,135,15,45,45,45,15,45,90,40,80,40,160,80,72,72,30,15,60,30,15,
60,45,45,45,45,45,180,30,60,10,30,30,60,30,60,180,60,36,45,135,45,45,60,20,20,
60,60,60,20,40,20,120,40,120,40,120,6,6,108,36,30,45,45,15,30,15,45,45,45,30,
45,15,30,45,15,90,30,45,15,30,30,45,15,90,10,36,60,20,15,15,30,60,10,20,30,10,
18,18,45,45,15,45,15,10,20,20,12,12,12,12,36,15,15,15,15,15,15,30,10,10,10,10,
1,18,6,18,6,15,15,6,6,10,3,2,2,6,6,3,1,1,1],[1,30,225,100,20,200,225,300,10,
450,300,450,150,450,12,72,72,300,20,300,200,200,200,600,600,225,150,450,225,
225,300,900,900,100,180,12,180,360,360,300,300,300,100,300,300,300,10,200,600,
200,600,600,120,450,225,25,450,225,200,100,200,100,100,180,60,180,120,360,360,
360,150,300,300,300,100,300,300,300,100,600,600,36,120,120,120,225,100,200,
100,200,100,100,180,60,180,150,50,150,50,300,72,36,60,60,2,60,120,120,120,100,
100,100,100,180,150,150,36,36,36,60,60,30,20,60,120,25,100,20,36,30,10,30,60,
25,12,20,20,20,30,12,10,20,12,10,1,1],[1,30,225,60,20,200,225,10,450,150,450,
450,12,72,72,300,20,300,600,200,600,150,225,450,75,225,450,100,180,12,180,360,
360,72,360,300,100,300,10,200,600,600,120,25,225,225,200,100,200,180,60,180,
360,360,150,100,300,300,36,120,120,120,75,100,100,100,100,60,50,50,72,36,72,
60,60,2,60,120,100,100,75,25,36,36,36,60,60,30,60,25,20,36,10,25,12,20,12,10,
1,1],[1,30,225,60,20,200,225,10,450,150,450,450,12,72,72,300,20,300,600,600,
200,150,225,450,75,225,450,100,180,12,180,360,72,360,360,300,100,300,10,200,
600,600,120,25,225,225,200,100,200,180,60,180,360,360,150,100,300,300,36,120,
120,120,75,100,100,100,100,60,50,50,72,36,72,60,60,2,60,120,100,100,75,25,36,
36,36,60,60,30,60,25,20,36,10,25,12,20,12,10,1,1],[1,100,30,225,20,200,300,
450,10,300,225,450,150,450,12,72,72,200,300,20,200,300,200,600,600,300,225,
900,900,150,450,225,225,100,180,12,180,360,360,300,200,600,100,300,300,300,
300,300,600,10,200,600,120,450,225,25,450,225,200,100,200,100,100,60,180,180,
120,360,360,360,300,300,300,100,300,300,300,100,150,600,600,36,120,120,120,
225,200,200,100,100,100,100,60,180,180,300,150,50,150,50,72,36,2,60,60,120,
120,120,60,100,100,100,100,180,150,150,36,36,36,20,30,60,60,120,60,100,25,20,
36,30,10,30,60,25,12,20,20,20,30,12,20,10,12,10,1,1],[1,30,225,60,20,200,10,
225,450,150,450,450,12,72,72,300,20,300,600,600,200,150,225,450,450,75,225,
100,180,12,180,360,72,360,360,100,300,300,10,200,600,600,120,25,225,225,200,
100,200,60,180,180,360,360,100,150,300,300,36,120,120,120,75,100,100,100,100,
60,50,50,72,36,72,2,60,60,120,60,100,100,75,25,36,36,36,30,60,60,60,25,20,36,
10,25,12,20,12,10,1,1],[1,30,225,60,20,200,10,225,450,150,450,450,12,72,72,
300,20,300,600,200,600,150,225,450,75,225,450,100,180,12,180,360,360,72,360,
100,300,300,10,200,600,600,120,25,225,225,200,100,200,60,180,180,360,360,100,
150,300,300,36,120,120,120,75,100,100,100,100,60,50,50,72,36,72,2,60,60,120,
60,100,100,25,75,36,36,36,30,60,60,60,25,20,36,10,25,12,20,12,10,1,1],[1,30,
225,100,10,10,200,5,150,225,225,150,150,5,150,225,450,150,450,12,72,72,150,
100,10,150,100,150,100,200,10,150,100,600,600,75,150,225,150,450,225,75,225,
225,225,450,900,100,180,12,180,360,360,150,50,150,150,150,150,150,100,300,5,
50,100,150,150,150,150,150,150,5,100,600,100,300,600,60,60,225,25,225,225,225,
225,225,100,100,100,100,100,100,100,30,180,90,30,90,60,60,360,360,360,150,150,
150,50,150,150,150,75,50,150,50,150,300,75,150,150,150,150,50,300,600,36,60,
60,60,60,60,60,225,50,100,100,100,100,100,100,100,50,30,180,90,30,90,150,75,
25,75,25,50,150,75,75,72,36,1,1,60,60,60,60,60,30,30,60,60,60,50,50,50,100,50,
50,50,90,90,75,75,150,36,36,36,15,10,15,10,60,60,60,30,30,60,50,25,50,10,10,
36,5,15,15,15,5,15,30,30,25,6,6,10,10,10,10,10,10,15,15,6,6,10,5,5,10,6,6,5,5,
1,1],[1,50,225,20,20,15,75,225,225,75,15,45,225,225,450,37,72,72,100,60,300,
100,60,300,75,45,225,225,225,225,75,225,225,225,225,10,225,37,225,360,360,100,
300,300,15,300,300,100,15,20,20,225,225,75,75,225,225,225,50,10,50,15,225,45,
15,45,45,45,15,15,450,360,360,300,75,15,75,75,300,15,75,36,20,60,60,20,60,60,
225,100,50,100,10,50,15,45,45,225,45,15,45,45,45,45,45,10,75,75,75,75,75,75,
72,36,6,6,20,60,60,15,15,60,60,20,50,50,50,45,45,15,45,45,15,45,10,10,10,75,
75,36,36,36,30,30,60,15,15,15,15,15,15,60,50,45,20,10,20,10,10,36,30,30,15,15,
15,15,15,15,6,6,1,10,10,10,15,15,6,6,5,10,6,6,5,1,1,1],[1,45,48,135,60,15,20,
24,160,160,180,270,180,540,135,15,135,135,135,90,45,16,45,135,270,135,90,45,
90,270,90,135,270,36,60,60,20,60,180,180,60,240,240,480,60,180,60,120,20,480,
135,135,270,270,135,60,135,540,270,270,135,90,270,45,270,135,270,135,270,135,
135,270,45,45,45,135,15,135,135,135,135,270,135,135,90,135,135,135,135,135,
135,135,135,270,135,30,45,135,270,45,45,135,90,80,10,160,80,160,108,36,108,60,
60,180,360,180,20,180,180,180,180,60,180,15,60,120,360,180,180,60,80,180,180,
360,180,60,16,40,160,360,360,180,360,180,60,180,144,135,135,135,270,135,90,
135,135,135,135,135,270,270,270,270,45,135,90,135,135,135,135,135,135,135,270,
45,135,135,270,135,135,135,15,135,135,45,45,135,135,135,135,135,15,45,45,135,
135,60,30,80,20,160,240,240,10,30,60,20,240,240,80,160,108,36,108,108,36,20,
180,180,180,180,60,60,60,120,360,45,45,45,15,15,45,15,180,180,60,120,90,180,
120,180,180,30,240,180,180,60,180,20,180,15,45,45,15,360,40,144,45,135,135,
135,135,15,45,135,135,135,135,15,45,45,45,60,60,30,60,60,20,10,40,30,30,60,60,
240,10,10,30,30,10,60,60,60,80,40,240,108,36,108,60,90,45,90,45,90,45,45,90,
45,45,45,45,45,15,45,45,15,15,30,180,45,45,45,30,45,45,45,45,30,60,15,45,80,
40,80,6,6,36,144,45,20,20,40,30,60,30,30,60,30,60,60,10,20,30,30,30,30,60,10,
30,60,60,60,120,60,20,40,60,60,36,45,45,30,45,45,30,45,15,45,15,30,45,45,45,
45,45,15,15,45,45,15,15,10,40,40,40,18,18,6,18,18,6,36,60,10,30,30,30,30,10,
10,15,60,15,60,60,24,24,45,15,15,20,10,20,40,18,6,18,18,18,6,36,10,15,15,15,
15,15,15,1,24,24,10,10,10,6,6,15,15,3,3,1,6,6,10,4,3,3,1,6,6,4,1,1,1],[1,15,
48,135,60,45,24,160,20,160,45,90,270,135,16,45,135,270,135,135,15,45,90,135,
135,180,180,90,90,270,135,540,270,36,20,240,60,60,120,180,240,480,60,60,480,
60,180,20,180,60,45,135,135,15,45,135,135,30,270,45,135,135,270,135,270,90,90,
135,45,135,60,135,135,45,135,135,135,45,135,135,135,135,135,270,135,270,135,
135,270,270,540,45,135,135,270,270,135,135,135,270,270,270,90,80,80,10,160,
160,108,36,108,60,60,180,80,60,60,180,180,180,180,180,360,360,180,180,360,16,
160,20,40,180,180,180,180,60,60,15,120,360,360,60,180,180,180,360,144,135,45,
135,45,135,45,135,135,135,135,135,270,90,135,135,135,135,135,135,270,15,15,
135,45,135,135,45,90,135,270,135,135,135,135,135,270,135,135,135,45,135,135,
135,135,135,270,270,270,80,20,160,240,240,30,60,240,240,80,10,30,20,60,160,36,
108,108,36,108,20,180,180,180,60,180,120,60,180,180,180,180,180,15,120,30,240,
360,15,90,45,15,45,60,60,60,20,120,45,45,180,180,180,180,15,15,45,45,360,40,
144,45,135,135,15,45,135,135,15,45,135,135,45,45,135,135,240,60,10,60,80,10,
40,60,60,30,30,60,60,30,60,240,10,10,30,30,60,60,20,40,36,108,108,60,180,45,
45,15,45,15,90,45,45,45,30,15,45,45,45,45,45,90,45,90,30,15,30,60,45,45,45,45,
45,45,45,90,80,40,80,6,6,144,36,45,20,20,40,30,60,10,30,60,60,60,120,10,20,60,
60,60,30,30,30,30,30,60,30,30,60,60,60,20,40,36,45,15,45,15,30,45,45,45,30,45,
45,30,15,45,45,15,45,45,15,15,45,45,40,40,40,10,18,6,18,6,18,18,36,60,10,30,
30,60,10,10,60,30,30,15,15,60,24,24,45,15,15,40,20,10,20,6,18,18,18,6,18,36,
10,15,15,15,15,15,15,1,24,24,10,10,10,6,6,15,15,1,3,3,6,6,10,4,3,1,3,6,6,4,1,
1,1],[1,90,48,135,90,24,160,20,160,315,270,270,270,16,315,135,270,45,45,15,45,
270,135,135,90,270,90,270,36,180,240,60,60,360,180,60,480,360,60,180,120,480,
315,135,540,135,135,90,270,270,270,540,90,270,270,270,90,45,45,135,270,135,
135,270,270,135,135,45,135,135,135,135,135,270,135,135,270,540,80,80,10,160,
160,108,36,108,240,180,360,360,80,240,60,180,180,180,180,180,180,16,160,20,40,
180,180,180,180,60,60,15,120,360,360,360,360,144,270,135,270,270,135,45,135,
135,135,135,270,270,45,135,135,135,15,270,15,135,45,135,135,45,135,45,135,135,
135,135,135,135,135,135,135,135,135,240,120,80,240,30,240,240,80,10,30,120,
480,480,36,108,108,216,216,240,60,180,180,180,60,180,180,60,180,180,180,180,
90,90,105,90,15,15,45,480,180,60,60,120,45,180,180,180,180,15,90,45,360,360,
360,40,144,135,45,135,135,135,45,135,135,135,135,135,45,135,135,135,60,240,60,
60,80,10,40,60,60,30,30,60,60,240,10,60,30,60,20,40,36,108,108,180,180,45,45,
90,90,90,90,90,45,30,90,15,45,45,45,45,45,30,15,30,180,45,45,45,45,45,80,40,
80,6,6,144,36,135,60,60,30,60,60,60,60,80,60,60,60,10,60,120,30,60,60,30,30,
30,30,60,60,60,20,120,108,45,45,45,45,45,45,90,15,45,45,15,45,45,15,45,45,90,
15,45,90,45,45,40,40,40,10,18,36,36,18,36,30,60,30,30,60,60,10,30,30,30,15,15,
60,24,24,45,45,45,40,20,10,20,6,18,18,18,6,18,36,30,15,15,15,15,15,15,1,24,24,
10,10,10,18,18,15,15,6,3,6,6,10,4,3,1,3,6,6,4,3,1,1],[1,54,405,24,160,20,160,
16,405,540,18,48,810,540,90,360,270,270,36,360,64,720,180,1440,60,540,1440,
180,48,540,135,270,540,540,270,405,540,135,540,540,540,1080,540,540,80,80,10,
160,160,324,36,324,80,120,240,720,360,720,360,16,160,20,40,540,180,60,60,540,
180,15,120,360,360,144,15,60,90,540,270,540,270,270,270,135,135,45,180,540,
270,540,135,270,135,270,135,320,240,90,240,80,240,10,90,480,480,36,324,108,
108,108,324,108,240,120,360,240,360,360,360,180,16,180,720,60,60,180,360,135,
180,180,180,180,15,135,360,360,360,40,144,144,144,90,135,180,270,270,270,135,
270,135,240,80,10,40,60,30,30,90,30,90,30,240,10,90,60,20,40,36,108,108,108,
108,108,108,360,30,60,90,180,90,180,90,30,15,30,180,135,45,45,45,135,45,40,40,
40,6,6,144,36,135,80,120,120,30,10,30,120,60,60,60,30,30,30,30,90,30,90,30,60,
20,60,120,108,90,30,90,60,90,90,90,90,15,45,45,90,45,45,45,45,40,40,40,10,54,
54,36,36,36,120,30,10,30,60,30,30,30,30,15,15,60,24,24,90,45,40,10,10,10,6,18,
18,6,18,18,36,30,30,15,15,15,15,1,24,24,10,10,10,18,18,15,15,9,6,6,10,4,1,3,3,
6,6,4,3,1,1],[1,54,405,20,24,160,160,18,405,810,16,48,540,540,270,360,90,270,
36,180,60,540,360,64,720,1440,1440,270,48,540,405,180,540,540,540,135,270,135,
540,540,1080,540,540,540,80,10,160,80,160,324,36,324,60,20,60,540,540,180,180,
15,120,120,720,720,80,240,360,360,16,40,160,360,360,144,45,60,180,540,540,270,
270,540,540,135,135,15,90,270,270,270,135,270,135,270,135,90,80,240,240,10,90,
480,320,240,480,108,324,324,36,108,108,108,60,180,180,60,180,180,180,135,15,
135,240,240,360,360,180,120,360,360,360,16,180,360,720,360,360,40,144,144,144,
180,135,90,270,270,270,135,270,135,30,20,10,40,30,90,90,30,30,240,10,90,60,60,
80,40,240,108,108,108,36,108,108,108,180,45,15,45,135,135,45,45,60,30,360,180,
180,30,90,90,90,30,40,40,40,6,6,36,144,135,30,30,30,20,60,60,10,30,120,30,30,
90,90,30,30,60,60,60,120,80,120,120,108,45,45,45,15,45,45,45,60,90,90,90,30,
90,90,90,90,10,40,40,40,54,54,36,36,36,30,30,30,60,10,30,30,30,15,60,15,120,
24,24,45,90,10,10,10,40,18,6,18,18,6,18,36,30,15,15,15,30,15,1,24,24,10,10,10,
18,18,15,15,9,6,6,10,4,3,1,3,6,6,4,3,1,1],[1,48,135,90,90,20,24,160,160,15,45,
135,135,270,315,16,45,45,270,135,270,315,270,90,270,90,270,270,36,60,120,60,
180,360,240,60,180,60,360,180,480,480,45,270,45,135,90,135,135,45,270,135,135,
90,135,135,135,270,135,135,135,135,270,135,135,270,270,90,270,270,270,315,270,
135,540,270,540,540,80,10,160,80,160,108,36,108,60,20,60,180,180,180,180,360,
360,15,60,120,180,180,180,240,80,180,180,180,180,240,16,40,160,360,360,360,
360,144,135,15,135,135,45,135,45,270,270,45,135,135,135,135,135,135,135,135,
135,135,270,135,135,135,15,45,45,135,270,135,135,135,135,135,135,270,270,30,
120,80,240,240,10,30,120,480,240,240,80,480,108,36,108,216,216,60,180,180,60,
180,180,180,45,90,15,45,90,180,180,60,360,90,90,180,180,180,60,180,60,180,240,
180,180,15,15,45,105,120,480,360,360,40,144,135,135,135,45,45,135,135,45,135,
135,135,135,135,135,135,60,20,10,40,60,30,30,60,60,60,60,240,10,30,60,60,60,
80,40,240,108,36,108,180,45,15,45,45,45,45,45,90,90,15,30,180,45,45,45,90,30,
45,45,45,45,90,30,90,90,180,80,40,80,6,6,36,144,135,60,30,60,20,60,60,10,60,
120,30,30,30,30,30,60,60,60,60,60,60,60,60,60,60,80,120,108,45,45,45,15,45,45,
45,45,45,15,90,45,45,45,15,45,15,45,90,45,45,90,10,40,40,40,18,36,18,36,36,30,
30,30,60,10,30,30,30,15,60,15,60,60,24,24,45,45,45,20,10,20,40,18,6,18,18,6,
18,36,30,15,15,15,15,15,15,1,24,24,10,10,10,18,18,15,15,3,6,6,6,10,4,3,1,3,6,
6,4,3,1,1],[1,90,54,405,90,22,80,22,160,80,405,810,270,810,15,270,405,405,135,
15,45,270,405,405,810,36,150,270,30,66,450,810,90,720,270,240,2160,360,720,66,
810,120,240,4320,2160,270,405,810,405,90,270,810,810,90,810,270,810,135,45,
405,405,270,810,135,405,405,405,405,40,80,11,160,160,160,160,40,160,40,40,160,
40,40,324,36,324,270,90,450,1620,270,30,90,30,90,90,810,810,270,270,270,270,
270,270,90,270,540,2160,15,60,30,60,540,810,270,180,30,90,270,270,15,60,60,
360,1080,2160,72,72,405,270,810,135,405,810,810,135,405,405,405,240,150,480,
40,240,360,360,135,120,30,240,240,40,240,720,360,120,11,135,120,480,1440,1440,
240,240,240,240,1440,240,1440,360,1440,360,240,360,1440,240,240,360,360,324,
216,90,30,90,810,270,270,270,30,90,270,270,270,270,90,90,270,90,270,90,270,
270,270,270,90,90,270,270,270,270,270,270,270,270,270,270,90,180,90,180,90,
135,15,135,180,540,90,90,270,540,135,540,90,270,270,270,15,90,135,180,540,540,
40,80,40,160,80,72,216,216,72,216,216,405,270,240,720,360,90,75,270,90,1440,
360,360,30,15,60,90,30,15,60,90,45,135,45,45,45,180,120,360,360,15,90,720,720,
360,120,360,10,60,90,180,30,60,30,60,360,360,720,360,360,360,324,36,90,270,
270,90,270,270,270,90,270,270,270,270,270,270,270,135,135,90,270,540,90,270,
540,135,135,270,135,135,240,80,80,120,40,40,120,120,240,240,120,120,40,80,40,
120,480,240,240,6,6,72,216,216,216,90,30,30,60,90,135,90,90,90,360,30,30,60,
90,45,90,90,60,180,30,30,90,90,90,90,45,15,45,180,180,90,45,90,30,30,90,90,90,
90,15,45,180,180,45,45,45,90,90,360,90,30,90,180,90,30,90,180,10,36,36,36,270,
135,135,240,120,240,40,240,120,120,20,20,60,60,120,15,15,120,60,120,120,20,
240,20,60,54,36,36,54,216,90,45,90,30,90,90,15,90,180,45,90,90,30,90,90,15,
180,45,90,90,90,90,45,45,90,90,90,90,90,90,40,20,40,10,12,12,12,12,72,36,30,
120,60,60,30,20,60,60,60,30,15,15,15,15,30,15,15,60,60,54,54,45,90,90,40,20,
20,10,10,10,20,20,1,12,36,36,36,12,36,36,36,36,30,15,30,60,30,15,30,15,15,15,
15,6,6,20,10,20,10,10,6,9,36,36,15,15,2,2,12,6,12,6,10,9,2,6,6,6,6,6,1,6,2,1,
1],[1,54,405,22,80,22,160,80,15,405,405,15,54,405,810,810,36,270,66,810,270,
2160,66,810,4320,2160,135,45,405,135,810,405,405,405,405,405,40,80,11,160,160,
160,160,40,160,40,40,160,40,40,324,36,324,30,30,270,810,270,270,810,15,60,30,
60,810,270,30,270,270,810,15,60,60,72,72,135,405,405,135,405,405,405,240,360,
135,240,240,720,11,135,1440,1440,1440,1440,360,1440,360,240,360,1440,360,360,
324,324,324,90,90,270,90,270,810,270,135,15,135,540,90,90,270,540,135,90,810,
270,270,15,135,540,540,40,80,40,160,80,72,216,216,72,216,216,405,360,30,15,60,
30,15,60,135,135,45,45,135,720,11,135,270,30,60,30,60,360,360,360,360,360,324,
36,270,135,135,135,270,135,135,135,120,40,120,240,120,40,120,480,240,6,6,216,
216,30,90,90,45,15,45,180,30,90,90,15,45,180,135,45,135,45,45,135,90,30,90,
180,90,30,90,180,10,36,36,36,135,135,120,40,120,15,15,120,40,120,54,54,90,45,
15,45,90,15,45,135,45,90,90,20,10,12,12,12,12,36,36,36,120,15,15,15,15,15,15,
120,54,54,45,20,10,20,10,10,1,36,36,36,36,36,15,15,15,15,15,15,6,6,20,10,9,15,
15,2,2,6,6,10,9,6,6,6,6,1,1,1],[1,54,405,90,90,22,80,22,160,80,15,405,405,270,
270,15,45,135,405,405,270,405,810,810,810,36,270,120,66,810,360,270,2160,90,
720,66,810,30,450,150,240,4320,720,2160,240,135,270,45,405,90,135,405,405,405,
405,405,810,405,405,810,90,270,810,810,270,270,810,810,40,80,11,160,160,160,
160,40,160,40,40,160,40,40,324,36,324,30,30,180,90,810,270,270,540,270,360,
1080,15,60,30,60,270,270,810,270,90,90,30,90,270,270,270,810,90,270,15,60,60,
90,540,270,2160,450,270,1620,2160,72,72,405,405,135,270,810,135,405,405,405,
810,810,240,360,135,120,120,240,240,40,240,720,360,120,11,135,30,150,1440,
1440,240,240,1440,240,1440,360,240,1440,360,240,240,360,240,480,360,40,1440,
480,240,240,360,360,324,216,90,90,270,90,270,540,270,270,135,90,15,135,90,540,
270,90,90,90,270,90,30,180,540,180,135,270,270,90,270,270,270,90,180,270,270,
270,270,270,270,90,270,270,810,270,270,270,270,30,90,270,270,90,90,270,270,15,
135,90,540,540,180,40,80,40,160,80,72,216,216,72,216,216,405,360,30,15,60,30,
15,60,180,45,135,45,45,45,90,90,90,270,120,360,360,60,180,720,720,360,120,360,
10,15,90,75,90,90,270,30,60,30,60,720,360,360,720,360,240,360,360,1440,360,
360,324,36,270,135,135,135,90,270,270,270,270,270,90,90,270,540,135,135,135,
90,270,270,270,90,270,540,270,270,270,270,120,40,40,120,120,240,120,120,40,80,
40,120,240,80,480,240,240,80,240,6,6,216,216,216,72,30,90,90,45,15,45,90,30,
180,30,90,90,15,45,30,90,180,90,45,45,90,90,90,45,45,45,135,90,90,90,90,90,90,
360,60,180,90,90,30,30,90,90,30,180,180,60,90,90,30,60,30,90,90,30,180,180,
360,10,36,36,36,135,270,135,120,120,20,20,60,60,120,15,15,120,60,120,120,240,
20,240,20,60,120,40,240,240,54,36,54,36,216,90,45,90,45,15,90,90,15,45,90,90,
45,45,90,90,90,90,90,90,30,90,180,90,90,90,90,90,30,90,180,20,40,10,40,12,12,
12,12,36,72,60,60,15,15,15,30,30,15,15,15,30,30,60,60,60,60,120,20,60,54,54,
45,90,90,20,10,10,10,20,40,20,20,1,36,36,36,12,36,36,36,12,36,15,30,15,15,30,
15,30,15,15,30,60,6,6,10,10,20,10,20,9,6,36,36,15,15,2,2,6,12,6,12,10,9,6,6,6,
2,6,6,1,6,1,2,1],[1,30,225,100,60,60,20,200,225,300,10,450,300,450,150,450,
450,450,450,450,600,12,72,72,300,20,300,200,200,200,600,600,200,200,600,600,
225,150,450,225,225,450,450,300,900,900,450,450,450,450,75,75,225,225,450,450,
450,450,450,450,100,180,12,180,360,72,360,360,72,360,300,300,300,100,300,300,
300,10,200,600,200,600,600,600,200,600,600,600,600,120,450,225,450,25,450,225,
225,225,225,225,450,450,450,450,450,200,100,200,100,200,200,100,180,60,180,
120,360,360,360,360,360,360,360,150,300,300,300,100,300,300,300,100,600,300,
300,600,300,300,600,36,120,120,120,225,225,225,75,75,225,225,100,200,100,200,
100,200,100,100,100,100,100,200,180,60,180,360,360,150,50,150,50,300,300,300,
72,36,72,72,60,60,2,60,120,120,120,225,100,100,100,100,100,100,100,100,100,
100,180,150,75,75,150,25,25,36,36,36,36,36,36,36,60,60,60,60,60,60,30,20,60,
120,25,100,100,20,75,75,36,36,36,36,36,36,36,60,60,30,10,30,60,25,25,25,12,20,
20,20,36,30,25,12,10,20,12,10,1,1,1,1,1],[1,100,30,225,60,60,20,200,300,450,
600,10,300,225,450,150,450,450,450,450,450,12,72,72,200,300,20,200,300,200,
600,600,600,200,600,200,300,225,900,900,450,450,450,450,150,450,225,225,450,
450,75,450,225,75,450,225,450,450,450,450,100,180,12,180,360,72,360,360,72,
360,300,200,600,100,300,300,300,300,300,600,600,200,10,200,600,600,600,600,
600,120,450,225,450,450,450,450,450,25,450,225,225,225,225,225,450,200,100,
200,100,100,200,200,60,180,180,120,360,360,360,360,360,360,360,300,300,300,
100,300,300,300,600,100,150,600,600,300,300,300,300,36,120,120,120,225,225,
225,75,75,225,225,200,200,100,100,200,100,200,100,100,100,100,100,60,180,180,
360,360,300,150,50,150,50,300,300,72,36,72,72,2,60,60,120,120,120,60,225,100,
100,100,100,100,100,100,100,100,100,180,150,150,25,75,25,75,36,36,36,36,36,36,
36,20,30,60,60,60,60,60,60,120,60,100,100,25,20,75,75,36,36,36,36,36,36,36,30,
10,30,60,60,60,25,25,25,12,20,20,20,36,30,25,12,20,10,12,10,1,1,1,1,1],[1,45,
54,405,150,105,20,24,160,160,180,270,270,1080,405,18,180,405,810,360,360,16,
48,270,540,540,450,450,270,270,360,1080,90,405,1620,810,270,36,60,180,140,60,
180,540,420,360,240,480,64,720,120,480,200,480,1440,480,1440,480,180,135,540,
540,540,60,180,540,540,540,540,540,90,270,540,90,1080,180,540,405,540,810,540,
1080,270,270,270,360,48,540,150,270,540,540,180,540,540,540,405,135,180,540,
540,540,540,540,135,810,270,405,135,1080,540,540,1080,540,810,1620,120,360,
540,1080,1080,360,360,540,1080,1080,540,810,1080,540,270,360,540,540,80,10,
160,80,160,324,36,324,60,180,180,360,540,60,60,20,180,60,540,180,540,180,540,
180,540,180,420,540,1080,15,120,120,360,360,720,720,240,240,80,240,360,360,
720,720,360,360,16,40,160,360,360,240,720,720,1440,480,720,1440,1440,144,270,
540,180,540,540,135,90,270,270,270,135,270,135,270,540,540,540,540,180,540,
270,270,180,540,135,270,540,540,270,270,540,540,540,1080,540,540,270,540,540,
540,540,540,270,405,135,540,1080,540,45,270,60,540,180,540,540,180,270,270,
270,360,1080,135,90,270,270,270,270,270,270,270,270,540,270,540,270,540,540,
135,270,540,1080,540,540,135,405,135,270,270,135,270,15,90,180,270,270,540,
270,135,270,540,540,135,540,270,135,270,540,135,135,1080,1080,1080,540,60,90,
80,140,160,80,80,240,240,240,240,10,90,60,140,480,480,320,240,320,160,240,80,
480,480,108,324,324,36,108,108,108,108,252,216,60,20,60,180,180,180,180,60,60,
540,180,540,180,60,180,180,180,180,60,180,180,180,180,60,60,180,180,540,180,
540,180,180,180,180,180,60,120,360,45,45,135,105,15,135,105,360,240,240,240,
360,240,120,360,360,120,180,360,360,120,360,360,360,120,240,360,360,360,360,
360,360,120,360,720,720,360,360,720,720,80,240,360,360,240,240,360,360,16,60,
180,120,120,360,720,480,360,360,360,360,360,40,144,144,144,135,90,270,270,270,
270,270,180,270,540,270,540,270,270,270,135,135,15,90,270,270,270,135,270,135,
270,135,270,270,270,270,270,270,60,180,270,540,540,135,270,90,270,270,270,270,
135,270,45,180,540,270,540,135,270,135,270,135,180,135,270,270,270,90,270,180,
540,270,270,270,270,135,90,270,270,270,270,270,270,540,135,270,270,135,270,
135,135,270,60,180,30,60,180,30,60,20,10,40,180,30,90,90,30,30,60,60,180,180,
80,240,240,70,180,480,240,240,240,240,10,30,90,70,60,180,180,60,60,80,40,480,
240,320,240,240,480,108,108,108,108,108,36,108,324,324,108,108,60,180,180,60,
180,180,180,180,180,180,180,180,180,180,180,90,45,180,60,180,180,360,360,45,
90,135,135,45,135,135,45,45,15,135,45,135,135,45,45,135,45,105,270,60,30,360,
360,360,360,240,240,360,360,90,180,90,180,90,30,90,180,90,90,180,180,30,120,
360,360,360,120,180,360,720,360,360,360,360,360,80,40,80,40,40,80,80,6,6,36,
144,144,144,270,135,90,270,270,270,180,135,270,270,135,270,135,270,270,135,
135,270,135,60,20,20,40,60,30,60,60,60,60,60,90,180,60,30,60,90,120,30,30,30,
60,60,60,30,60,20,20,60,60,60,60,10,30,20,60,120,120,90,30,30,60,60,90,30,90,
30,90,30,90,30,60,180,60,60,60,60,240,70,90,180,120,60,60,60,60,60,60,60,120,
120,80,40,80,120,120,80,120,120,240,108,108,108,108,108,36,108,180,90,45,90,
90,30,90,90,90,30,45,45,15,45,45,45,60,30,90,180,90,180,90,135,45,45,45,135,
45,45,15,45,45,45,45,45,135,45,45,45,45,45,45,45,15,45,45,135,45,45,45,60,90,
90,90,60,90,90,360,90,90,90,90,90,30,90,180,30,90,90,90,90,180,90,90,90,90,90,
10,80,40,80,40,80,40,40,40,40,40,80,54,18,42,18,54,42,36,36,36,144,135,60,30,
60,20,60,60,10,60,120,30,60,30,30,30,30,30,30,90,30,90,30,30,60,30,30,30,30,
60,30,30,30,30,30,60,60,60,60,10,10,30,30,60,90,30,90,30,30,30,30,30,60,15,60,
60,60,60,60,60,60,15,120,120,120,120,120,80,120,120,108,24,24,90,90,90,45,45,
45,30,90,90,90,90,15,45,45,45,60,90,90,90,90,45,45,45,45,45,45,45,45,90,90,90,
90,20,10,20,10,10,20,20,40,40,40,40,40,40,40,18,18,18,6,18,54,54,18,54,18,18,
6,18,54,36,36,36,30,30,30,60,10,30,30,30,30,30,30,30,30,30,30,30,15,15,15,15,
15,15,15,15,60,30,30,15,15,120,1,24,24,24,24,24,24,90,45,20,10,20,10,20,10,10,
10,10,10,20,40,18,18,18,6,18,18,18,18,6,18,18,18,18,18,36,30,30,15,15,15,15,
15,15,15,15,15,30,15,3,9,7,6,24,6,24,10,10,10,10,10,10,10,18,18,4,15,15,3,9,3,
3,1,3,9,6,6,6,6,6,6,10,4,4,4,3,1,3,3,3,3,3,6,6,1,4,3,1,1,1,1],[1,105,54,405,
150,45,24,160,20,160,450,810,450,1620,405,16,360,405,540,270,180,18,48,360,
810,540,270,180,90,270,360,1080,270,405,1080,270,270,36,200,360,120,64,480,
720,240,480,180,480,1440,420,480,60,540,140,180,60,480,1440,360,405,1080,810,
540,150,360,1620,1080,810,540,540,270,810,540,120,1080,360,1080,405,810,540,
540,1080,90,270,180,180,48,540,60,540,540,540,360,1080,540,540,135,135,270,
540,540,540,270,270,405,540,540,135,135,540,540,540,540,1080,540,540,90,180,
540,1080,540,180,180,540,540,540,540,270,1080,540,270,360,540,540,80,80,10,
160,160,324,36,324,360,360,480,1440,720,80,240,120,240,240,720,720,360,360,
720,720,360,360,240,720,720,1440,16,160,20,40,540,180,540,180,180,60,60,60,
540,180,540,180,180,60,15,120,360,360,420,1080,540,1440,180,540,360,144,540,
540,360,1080,540,135,270,540,540,270,405,540,135,540,1080,1080,1080,1080,180,
270,540,270,270,540,405,540,540,270,540,270,540,540,1080,540,540,540,180,540,
540,1080,540,540,540,135,135,270,540,540,15,270,60,270,90,540,270,90,540,90,
270,180,540,135,180,270,270,540,270,270,540,270,270,270,270,540,540,270,270,
135,270,540,540,270,270,135,135,135,270,270,135,270,45,180,180,540,270,270,
540,135,270,270,270,135,270,270,135,270,270,135,135,540,540,540,540,320,140,
160,80,320,240,240,90,240,60,240,80,80,240,240,80,10,90,140,60,480,480,480,
480,160,36,324,108,108,108,324,108,252,108,216,240,120,240,720,360,720,360,80,
240,720,720,360,360,240,120,360,120,360,240,360,360,360,360,240,240,360,360,
360,360,360,360,360,360,360,360,105,120,120,240,360,120,180,60,16,180,60,480,
720,180,60,60,60,180,60,20,120,360,120,135,540,180,180,180,540,180,45,180,180,
180,180,180,180,180,180,540,180,180,180,180,180,60,60,540,180,60,60,180,180,
15,105,135,45,360,360,360,360,360,360,360,40,144,144,144,135,180,270,540,270,
540,270,90,270,540,540,270,270,270,270,135,135,45,180,540,270,540,135,270,135,
270,135,270,270,540,540,270,270,60,90,270,270,270,135,270,180,270,270,270,270,
135,270,15,90,270,270,270,135,270,135,270,135,90,135,270,270,270,180,270,90,
270,270,270,270,270,135,180,270,270,270,270,270,270,270,135,270,270,135,270,
135,135,270,180,320,480,240,180,70,180,180,480,240,240,80,10,40,60,60,30,60,
30,90,30,90,30,180,60,180,60,240,240,240,30,60,240,240,80,240,10,70,90,30,180,
180,60,60,20,40,480,36,108,108,108,324,108,108,324,108,108,108,240,360,360,
240,360,360,360,120,360,360,360,360,360,360,360,135,180,135,105,270,135,360,
120,360,180,180,720,360,180,180,180,30,90,60,90,90,180,90,90,180,90,90,60,180,
30,15,30,180,180,180,180,60,60,180,360,45,135,135,45,45,45,45,45,135,45,135,
45,180,180,180,180,45,135,90,180,180,180,180,360,80,80,40,40,80,40,80,6,6,144,
144,144,36,270,135,180,270,270,270,90,135,270,270,135,270,135,270,270,135,135,
270,135,60,60,60,60,90,60,180,60,240,80,20,40,60,90,60,60,70,180,90,120,80,80,
120,120,120,120,30,10,30,60,20,120,120,60,30,60,60,60,60,60,60,60,30,30,60,60,
30,30,30,60,60,90,90,30,30,90,90,30,30,60,60,180,60,60,60,240,30,90,60,120,60,
60,20,20,60,60,20,120,120,40,108,108,36,108,108,108,108,360,45,90,135,45,45,
45,135,45,180,90,60,90,180,90,15,30,45,135,135,45,45,180,180,30,90,90,90,30,
90,60,90,90,90,30,90,90,90,90,30,90,90,90,90,60,90,90,90,90,90,90,90,90,15,45,
45,45,15,90,90,180,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,80,40,
80,40,40,80,40,40,40,40,80,10,54,42,18,42,54,18,144,36,36,36,135,60,30,60,60,
60,60,30,60,30,60,90,30,90,30,80,120,120,10,120,30,90,90,30,30,120,120,120,
120,30,60,10,30,10,30,60,30,30,30,30,30,60,60,60,60,30,30,30,30,60,30,30,30,
30,30,30,30,30,60,15,15,60,60,60,60,60,20,60,120,108,24,24,45,45,45,90,90,90,
45,45,45,45,60,90,90,90,15,45,90,45,45,30,90,90,90,90,90,90,90,90,45,45,45,45,
40,40,40,20,40,40,40,40,20,10,10,10,20,20,6,54,18,18,18,54,18,54,54,6,18,18,
18,18,36,36,36,30,30,30,60,30,30,30,30,120,10,30,30,30,30,30,30,30,15,15,15,
30,15,30,15,15,15,15,15,15,60,1,24,24,24,24,24,24,45,90,40,20,10,20,10,10,20,
10,10,10,10,20,18,18,6,18,18,18,18,18,18,18,6,18,18,18,36,30,15,15,15,30,15,
15,15,30,15,15,15,15,7,9,3,24,6,24,6,10,10,10,10,10,10,10,18,18,4,15,15,9,9,1,
3,3,3,3,6,6,6,6,6,6,10,4,4,4,3,3,3,1,3,3,3,6,6,4,1,3,1,1,1,1],[1,60,675,20,30,
400,400,15,675,675,20,45,1350,675,450,450,42,432,432,300,60,900,750,70,1350,
3600,3600,225,45,675,450,675,675,675,675,675,675,1350,200,10,400,200,400,810,
42,810,2160,2160,100,900,900,15,150,300,1350,450,250,450,1350,450,20,200,500,
1800,1800,120,480,75,675,675,75,225,675,675,150,200,600,600,10,150,1200,800,
600,1200,90,810,270,270,270,810,270,300,225,15,225,150,450,450,900,450,450,
450,450,450,15,225,900,216,100,120,360,360,480,720,720,225,100,50,200,150,150,
600,10,150,150,250,200,600,90,270,270,270,270,270,270,60,75,225,225,75,150,
450,225,150,225,225,150,432,216,100,100,100,360,360,7,6,360,360,360,90,270,
720,300,50,150,150,150,150,150,450,150,150,270,60,60,60,75,225,75,216,50,100,
100,100,135,90,90,90,90,270,90,90,50,75,150,75,150,20,80,60,60,60,60,50,100,
15,45,45,30,90,90,75,75,72,36,1,60,120,60,60,50,45,10,72,36,15,15,45,30,10,10,
5,15,15,6,10,10,6,6,6,5,1],[1,60,675,30,400,20,400,20,675,1350,15,45,675,675,
450,450,42,432,432,750,70,1350,300,3600,60,900,3600,450,45,675,675,225,675,
675,675,675,675,1350,200,200,10,400,400,810,42,810,2160,2160,250,150,450,1350,
1350,450,450,20,500,100,200,900,900,15,300,1800,1800,480,120,75,75,225,675,
675,675,675,800,600,150,600,200,600,10,150,1200,1200,270,810,810,90,270,270,
270,450,450,450,150,450,450,450,450,15,225,900,300,225,15,225,900,216,100,480,
720,720,120,360,360,225,600,250,50,200,150,150,150,600,10,150,100,200,270,270,
270,90,270,270,270,60,450,150,75,225,225,225,150,75,150,225,225,432,216,100,
100,100,6,7,360,360,360,360,720,270,90,360,150,450,150,50,150,150,150,150,150,
300,270,60,60,60,225,75,75,216,100,100,100,50,90,135,270,90,90,90,90,90,150,
50,150,75,75,60,80,20,60,60,60,100,50,30,45,15,45,90,90,75,75,36,72,1,60,120,
60,60,50,45,10,36,72,15,30,45,15,10,10,5,15,15,6,10,10,6,6,6,5,1],[1,90,54,
405,180,90,22,80,22,160,80,405,810,270,810,15,270,405,405,405,270,15,54,405,
405,810,270,405,1620,810,810,810,36,150,270,150,66,450,810,450,720,270,240,
2160,450,1440,66,810,150,450,150,480,4320,720,2160,240,270,405,810,405,90,405,
810,1620,405,1620,90,810,270,810,135,270,45,405,90,405,270,810,135,810,810,
405,405,405,405,405,405,810,405,405,810,90,405,405,810,1620,270,270,810,810,
1620,40,80,11,160,160,160,160,40,160,40,40,160,40,40,324,36,324,270,90,450,
1620,270,30,90,30,270,270,810,810,270,270,270,270,810,810,450,270,1620,2160,
15,60,30,60,810,270,810,270,270,90,30,270,270,810,270,810,90,270,15,60,60,450,
1620,270,4320,450,270,1620,2160,72,72,405,270,810,135,810,405,405,405,810,810,
135,405,405,405,405,405,405,135,405,135,405,270,810,405,405,405,405,405,135,
135,405,405,810,405,405,405,405,405,405,810,810,240,150,480,40,240,360,360,
135,240,150,480,240,80,240,720,720,240,11,135,150,150,480,1440,1440,480,240,
240,480,1440,480,1440,360,240,1440,360,240,240,360,240,480,360,40,1440,480,
480,480,360,360,324,324,324,216,216,90,30,270,810,270,270,810,30,90,270,270,
270,270,90,90,270,90,270,90,270,270,270,270,90,90,270,270,810,810,270,270,810,
810,270,270,90,180,90,180,90,135,90,15,135,90,180,540,270,90,90,90,270,90,30,
180,540,180,135,810,270,90,810,270,810,90,180,270,270,270,270,270,270,90,810,
270,810,270,270,270,270,30,270,270,810,90,90,270,270,15,90,135,90,180,540,540,
180,40,80,40,160,80,72,216,216,72,216,216,405,405,405,135,405,405,405,135,405,
405,405,405,405,405,405,270,240,720,360,90,75,270,90,1440,360,360,30,15,60,90,
30,15,60,270,135,135,45,45,135,270,90,90,270,240,720,720,75,270,1440,720,720,
240,720,11,75,135,75,270,90,270,270,30,60,30,60,360,360,1440,360,360,360,360,
720,360,240,360,360,1440,720,720,360,360,324,324,324,36,90,270,270,90,270,810,
270,90,270,270,270,270,270,270,270,135,135,90,270,540,90,270,540,135,135,135,
135,135,135,90,270,270,270,270,270,90,90,270,540,135,135,135,135,135,135,90,
810,270,270,90,270,540,270,270,270,270,240,80,80,120,40,80,120,240,240,240,
240,120,80,160,40,120,240,80,480,480,240,80,240,6,6,72,216,216,216,216,72,405,
90,30,30,60,270,135,90,90,270,360,30,30,60,90,45,90,90,75,270,45,540,30,30,90,
90,90,90,45,15,45,90,30,180,180,90,45,90,30,30,90,90,90,90,15,45,30,90,180,
180,135,135,45,270,90,135,135,45,45,45,45,135,135,90,90,90,90,270,90,720,75,
45,270,540,90,90,30,30,90,90,30,180,180,60,90,90,30,60,30,90,90,30,180,180,
360,360,360,360,360,324,10,36,36,36,270,135,135,135,135,135,135,135,135,135,
135,270,135,135,135,135,240,120,240,40,240,120,240,40,40,120,120,240,15,15,
240,120,240,120,240,40,480,40,120,120,40,240,240,54,36,36,36,54,36,216,216,90,
45,90,30,90,90,15,90,180,135,90,135,45,45,135,30,90,90,15,180,45,45,45,45,45,
90,90,90,90,45,90,15,45,15,45,90,45,45,45,45,45,90,90,90,90,15,15,45,45,90,
135,135,45,45,135,135,45,45,90,90,90,90,90,90,30,90,180,90,90,90,90,90,30,90,
180,40,20,80,10,40,12,12,12,12,72,36,72,36,36,135,135,30,120,120,120,30,40,
120,120,120,30,15,15,15,30,30,15,30,15,15,30,30,120,120,120,120,120,40,120,54,
54,54,54,54,54,45,45,45,90,15,45,135,45,90,15,45,45,45,45,45,45,45,90,90,40,
20,40,20,10,20,40,40,40,20,10,10,1,12,36,36,36,36,12,12,36,36,36,36,12,36,36,
36,30,15,30,120,30,15,30,15,15,30,15,15,15,15,30,15,30,15,15,15,15,15,30,120,
54,54,6,6,45,40,10,40,20,20,20,20,40,10,10,40,20,20,6,9,6,36,36,36,36,36,15,
15,15,15,15,15,15,15,15,15,15,15,15,15,2,2,12,6,12,12,6,12,20,10,20,10,10,9,9,
9,15,15,2,6,6,6,6,2,6,6,6,6,6,6,10,9,1,6,6,6,6,2,1,2,1,1,1,1],[1,60,675,150,
150,20,30,400,400,15,225,675,675,450,675,20,45,225,1350,675,450,675,1350,450,
1350,450,1350,1350,42,432,432,300,200,60,900,600,750,150,1200,70,1350,150,750,
350,1200,3600,1200,3600,1200,225,450,45,675,150,675,675,225,1350,675,675,450,
675,675,675,1350,675,675,675,675,1350,675,675,1350,1350,150,450,1350,1350,675,
450,675,2700,1350,2700,2700,200,10,400,200,400,810,42,810,2160,2160,300,100,
300,900,900,900,900,600,1800,15,150,300,450,1350,1350,450,450,750,250,450,
1350,450,450,1350,450,750,20,200,500,1800,1800,150,900,450,3600,750,450,2700,
3600,120,480,675,75,675,675,225,675,225,450,1350,225,675,675,675,675,675,675,
675,675,675,675,1350,675,675,675,75,225,225,675,1350,675,675,675,675,675,675,
1350,1350,150,200,200,400,200,200,600,600,600,600,10,150,200,1200,1200,800,
600,800,400,600,200,1200,1200,90,810,270,270,270,810,270,90,450,1620,2160,
2160,300,900,900,300,900,900,900,225,150,15,225,150,450,150,450,450,450,150,
150,900,900,300,450,450,450,150,450,450,450,150,300,1350,450,1350,450,1350,
450,450,450,450,1350,450,450,450,450,150,450,450,450,750,450,1350,450,15,75,
225,225,600,900,1500,1800,1800,216,100,120,360,360,480,720,720,675,675,675,
225,225,675,675,225,675,675,675,675,675,675,675,300,100,50,200,300,150,150,
300,300,200,600,600,100,300,1200,600,600,600,600,10,150,100,300,150,250,200,
1200,600,800,600,600,1200,90,270,270,810,270,270,270,270,810,270,270,60,900,
225,75,225,225,225,225,225,150,450,75,150,450,450,450,450,150,450,450,900,225,
225,225,450,150,225,225,225,225,450,150,150,450,450,450,150,450,900,1350,450,
450,450,432,216,200,100,200,100,100,200,200,360,360,7,6,360,360,120,360,360,
90,270,720,720,480,675,300,150,300,100,300,300,50,300,600,150,150,150,150,150,
300,600,100,300,150,150,150,150,150,150,150,150,450,150,150,150,450,250,600,
600,270,270,90,810,270,90,270,60,60,60,225,225,225,75,225,225,225,225,225,75,
450,450,225,225,225,75,225,75,225,450,225,225,450,216,216,216,50,200,100,200,
100,200,100,100,100,100,100,200,360,360,135,15,75,90,60,360,360,360,90,90,90,
270,90,90,720,150,150,150,300,50,150,150,150,75,150,150,150,150,150,150,150,
75,150,150,150,150,450,150,150,270,20,80,60,120,60,120,60,60,225,225,225,216,
100,50,100,100,100,100,100,100,100,100,15,45,135,45,45,45,135,90,30,90,90,90,
90,90,90,270,150,75,75,75,150,75,75,75,150,72,36,1,20,60,60,120,120,80,60,60,
60,60,60,60,50,50,50,100,45,45,15,15,45,135,45,90,90,90,10,75,75,72,36,15,10,
60,15,45,120,30,60,60,50,45,10,20,10,20,72,36,15,5,15,15,15,15,15,15,45,30,6,
10,10,10,10,10,10,15,15,15,6,6,6,5,10,10,6,6,6,5,1,1],[1,150,60,675,150,30,
400,20,400,675,1350,450,1350,20,675,675,1350,225,225,15,45,450,675,675,450,
1350,450,1350,42,432,432,350,750,150,70,750,1350,150,1200,300,1200,3600,600,
1200,60,900,200,1200,3600,675,675,2700,675,675,150,450,1350,1350,2700,150,
1350,450,1350,450,225,45,675,1350,675,675,450,1350,675,675,225,675,675,675,
675,675,1350,675,675,1350,2700,200,200,10,400,400,810,42,810,2160,2160,750,
450,750,2700,450,250,750,150,450,450,1350,1350,1350,1350,450,450,450,450,150,
450,900,3600,20,500,100,200,900,900,900,900,300,300,15,300,1800,1800,600,1800,
3600,480,120,1350,675,450,1350,675,225,675,675,675,675,1350,1350,225,675,675,
675,75,1350,75,675,225,675,675,225,675,225,675,675,675,675,675,675,675,675,
675,675,675,800,200,400,200,800,600,600,150,600,600,200,200,600,600,200,10,
150,200,1200,1200,1200,1200,400,270,810,810,90,270,270,270,450,90,1620,2160,
2160,750,150,450,1350,1350,450,450,150,450,450,450,450,450,450,450,1350,150,
450,450,1350,1350,450,450,150,150,450,450,450,450,450,450,450,450,450,450,150,
300,150,300,225,450,75,15,225,1500,900,900,300,300,600,225,900,900,900,900,15,
150,225,900,900,1800,1800,216,100,480,720,720,120,360,360,675,225,675,675,675,
225,675,675,675,675,675,225,675,675,675,300,800,1200,600,100,300,1200,600,600,
250,50,200,300,150,150,150,300,300,600,600,600,600,600,200,600,10,100,150,300,
100,200,1200,270,270,270,810,810,90,270,270,270,270,270,60,450,1350,450,150,
450,450,450,150,450,450,450,450,450,450,450,225,225,150,450,900,150,450,900,
450,225,150,450,75,225,225,225,225,225,150,75,150,900,225,225,225,225,225,432,
216,200,200,100,100,200,100,200,6,7,360,360,360,360,480,720,720,270,90,360,
360,120,675,300,150,150,300,600,150,100,300,250,150,450,450,150,150,50,300,
600,150,150,150,150,150,150,150,150,150,150,150,300,600,300,300,100,600,810,
270,90,270,270,90,270,60,60,60,450,225,225,225,225,225,225,450,75,225,225,75,
225,225,75,225,225,450,75,225,450,225,225,216,216,216,200,100,200,100,100,200,
100,100,100,100,200,50,90,60,75,135,15,360,360,360,360,720,270,90,90,90,90,90,
360,150,150,150,150,150,150,150,150,150,450,150,150,150,50,150,150,150,150,
150,150,150,75,75,300,270,60,80,20,120,60,120,60,60,225,225,225,216,100,100,
100,100,100,100,100,100,50,100,30,90,90,135,45,45,135,15,45,45,270,90,90,90,
90,90,150,150,150,75,75,75,75,75,75,36,72,1,60,60,60,80,120,120,60,60,20,60,
60,60,100,50,50,50,90,135,15,45,15,45,45,45,90,90,10,75,75,36,72,10,15,60,30,
120,45,15,60,60,50,45,10,20,10,20,36,72,15,5,15,30,15,15,45,15,15,15,6,10,10,
10,10,10,10,15,15,15,6,6,6,10,5,10,6,6,6,5,1,1],[1,90,2025,40,800,40,1600,800,
30,2025,4050,30,90,4050,4050,1350,2700,1350,4050,72,2592,2592,1800,120,5400,
1800,21600,120,5400,43200,21600,1350,90,4050,2025,1350,4050,4050,4050,2025,
4050,2025,4050,4050,8100,8100,8100,8100,400,800,20,1600,1600,1600,1600,400,
1600,400,400,1600,400,400,3240,72,3240,12960,12960,600,600,1800,5400,5400,
5400,5400,30,1200,600,1200,5400,5400,600,1800,5400,5400,30,1200,1200,5400,
10800,5400,1440,1440,225,450,1350,4050,4050,4050,4050,4050,4050,2025,2025,225,
1350,4050,4050,4050,2025,4050,2025,4050,2025,2400,3600,900,2400,2400,7200,20,
900,14400,14400,14400,14400,3600,14400,3600,2400,3600,14400,3600,3600,1080,
3240,3240,1080,3240,3240,3240,1800,1800,5400,1800,5400,5400,5400,1350,30,1350,
10800,1800,1800,5400,10800,1350,1800,5400,5400,5400,30,1350,10800,10800,5400,
10800,5400,1296,400,800,400,1600,800,1440,4320,4320,1440,4320,4320,1350,2025,
1350,4050,4050,4050,2025,4050,2025,3600,600,300,1200,600,300,1200,900,900,900,
900,900,7200,20,900,1800,600,1200,600,1200,3600,3600,3600,3600,3600,1080,3240,
3240,1080,3240,3240,3240,720,5400,450,450,1350,1350,1350,1350,1350,450,450,
900,5400,1350,1350,450,1350,1350,1350,450,2592,1296,1200,400,1200,2400,1200,
400,1200,4800,2400,2160,2160,12,12,2160,2160,4320,4320,4320,1080,1080,4320,
2025,600,1800,1800,900,300,900,3600,600,1800,1800,300,900,3600,900,900,900,
900,900,900,1800,600,1800,3600,1800,600,1800,3600,3240,100,720,720,720,1350,
450,1350,450,1350,1350,1350,1350,450,1350,1350,2700,450,1350,1350,1350,1350,
1296,1200,400,1200,300,300,1200,400,1200,540,540,1080,1080,1080,1080,1080,
1080,1800,900,300,900,1800,300,900,900,900,225,450,1800,225,1800,200,100,240,
240,240,240,720,720,720,1350,1350,1200,300,300,300,300,300,300,1200,180,180,
540,180,180,540,1080,1080,900,450,225,450,450,450,450,225,432,432,200,100,200,
100,100,360,360,360,360,2,720,720,720,720,720,300,300,300,300,300,300,540,540,
120,120,225,450,225,432,432,200,100,90,180,180,180,180,300,300,40,40,120,120,
100,30,30,90,180,180,180,180,72,120,120,120,120,90,20,36,36,72,72,30,30,20,30,
30,20,12,12,1],[1,225,90,2025,450,225,40,800,40,1600,800,1350,4050,1350,8100,
2025,30,1350,2025,4050,1350,1350,30,90,1350,4050,4050,1350,1350,1350,4050,
2700,8100,1350,2025,8100,4050,4050,72,2592,2592,600,1800,600,120,1800,5400,
1800,7200,1800,2400,21600,1800,14400,120,5400,600,1800,600,4800,43200,7200,
21600,2400,1350,2025,8100,4050,4050,450,1350,8100,8100,4050,4050,8100,1350,
4050,8100,450,8100,1350,8100,2025,4050,4050,4050,8100,1350,4050,1350,1350,90,
4050,450,4050,4050,4050,1350,8100,4050,4050,2025,2025,1350,4050,4050,4050,
4050,4050,2025,4050,4050,2025,2025,8100,4050,4050,8100,8100,4050,8100,450,
1350,4050,8100,8100,1350,1350,4050,8100,8100,8100,4050,16200,8100,4050,2700,
8100,8100,400,800,20,1600,1600,1600,1600,400,1600,400,400,1600,400,400,3240,
72,3240,12960,12960,1800,1800,1800,10800,5400,600,1800,600,1800,1800,5400,
5400,5400,5400,5400,5400,5400,5400,1800,5400,10800,21600,30,1200,600,1200,
5400,5400,5400,5400,1800,1800,600,1800,5400,5400,5400,5400,1800,1800,30,1200,
1200,5400,10800,5400,1800,10800,5400,43200,1800,5400,10800,21600,1440,1440,
4050,4050,1350,8100,4050,2025,1350,4050,4050,4050,2025,4050,2025,4050,8100,
8100,8100,8100,1350,4050,4050,4050,1350,4050,2025,4050,4050,4050,4050,4050,
4050,4050,8100,8100,8100,8100,1350,4050,4050,8100,4050,4050,4050,2025,2025,
4050,8100,8100,225,4050,450,4050,1350,4050,4050,1350,4050,1350,4050,1350,8100,
2025,1350,4050,4050,4050,4050,4050,4050,4050,4050,4050,4050,4050,4050,4050,
4050,2025,4050,4050,8100,4050,4050,2025,2025,2025,4050,4050,2025,4050,225,
1350,1350,4050,4050,4050,4050,2025,4050,4050,4050,2025,4050,4050,2025,4050,
4050,2025,2025,8100,8100,8100,8100,2400,600,4800,400,2400,3600,3600,900,2400,
600,4800,2400,800,2400,7200,7200,2400,20,900,600,600,4800,14400,14400,4800,
2400,2400,4800,14400,4800,14400,3600,2400,14400,3600,2400,2400,3600,2400,4800,
3600,400,14400,4800,4800,4800,3600,3600,1080,3240,3240,1080,3240,3240,3240,
1080,1080,6480,12960,12960,1800,600,1800,5400,5400,5400,5400,600,1800,5400,
5400,5400,5400,1800,1800,5400,1800,5400,1800,5400,5400,5400,5400,1800,1800,
5400,5400,5400,5400,5400,5400,5400,5400,5400,5400,450,3600,5400,450,3600,5400,
450,1350,450,30,1350,450,3600,10800,5400,1800,1800,1800,5400,1800,600,3600,
10800,3600,1350,5400,5400,1800,5400,5400,5400,450,3600,5400,5400,5400,5400,
5400,5400,1800,5400,5400,5400,5400,5400,5400,5400,600,1800,5400,5400,1800,
1800,5400,5400,30,450,1350,450,3600,10800,10800,3600,5400,5400,10800,10800,
10800,5400,5400,1296,400,800,400,1600,800,1440,4320,4320,1440,4320,4320,2025,
1350,4050,4050,4050,4050,4050,1350,4050,4050,4050,4050,4050,4050,4050,2025,
2025,225,1350,4050,4050,4050,2025,4050,2025,4050,2025,4050,4050,4050,4050,
4050,4050,450,1350,4050,4050,4050,2025,4050,1350,4050,4050,4050,4050,2025,
4050,225,1350,4050,4050,4050,2025,4050,2025,4050,2025,1350,2025,4050,4050,
4050,1350,4050,1350,4050,4050,4050,4050,4050,2025,1350,4050,4050,4050,4050,
4050,4050,4050,2025,4050,4050,2025,4050,2025,2025,4050,1800,2400,7200,3600,
1800,300,1800,1800,14400,3600,3600,600,300,1200,1800,600,300,1200,1800,900,
900,900,900,900,1800,1800,1800,1800,2400,7200,7200,300,1800,14400,7200,7200,
2400,7200,20,300,900,300,1800,1800,1800,1800,600,1200,600,1200,3600,3600,
14400,3600,3600,3600,3600,7200,3600,2400,3600,3600,14400,7200,7200,3600,3600,
1080,3240,3240,3240,3240,1080,3240,3240,3240,3240,3240,720,1800,5400,5400,
1800,5400,5400,5400,1800,5400,5400,5400,5400,5400,5400,5400,1350,1350,1350,
450,2700,1350,10800,5400,450,2700,1350,1350,10800,5400,1350,1350,1350,450,
1350,450,1350,1350,1350,1350,1350,1350,1350,1350,450,2700,450,450,900,5400,
5400,5400,5400,1800,1800,5400,10800,1350,1350,1350,1350,1350,450,1350,1350,
1350,1350,1350,1350,450,1800,5400,5400,5400,450,1350,2700,10800,5400,5400,
5400,5400,10800,2592,1296,2400,800,800,1200,400,800,1200,2400,2400,2400,2400,
1200,800,1600,400,1200,2400,800,4800,4800,2400,800,2400,2160,2160,12,12,2160,
2160,4320,4320,1440,4320,4320,1080,1080,4320,4320,1440,4050,2025,1350,4050,
4050,4050,1350,2025,4050,4050,2025,4050,2025,4050,4050,2025,2025,4050,2025,
1800,600,600,1200,1800,900,1800,1800,1800,3600,600,600,1200,1800,900,1800,
1800,300,1800,900,3600,600,600,1800,1800,1800,1800,900,300,900,1800,600,3600,
3600,1800,900,1800,600,600,1800,1800,1800,1800,300,900,600,1800,3600,3600,900,
900,900,1800,1800,900,900,900,900,900,900,900,900,1800,1800,1800,1800,1800,
1800,7200,300,900,1800,3600,1800,1800,600,600,1800,1800,600,3600,3600,1200,
1800,1800,600,1200,600,1800,1800,600,3600,3600,3600,3600,3600,3600,3600,3240,
3240,1080,3240,3240,1080,3240,100,720,720,720,5400,1350,1350,1350,1350,450,
1350,1350,1350,450,1350,1350,450,1350,1350,1350,450,900,1350,1350,1350,1350,
1350,1350,1350,450,1350,1350,1350,450,1350,450,1350,1350,1350,450,1350,1350,
1350,1350,450,1350,1350,1350,1350,450,1350,1350,1350,1350,1350,1350,1350,1350,
450,1350,1350,1350,450,2700,2700,5400,1350,1350,1350,1350,1350,450,1350,1350,
450,1350,1350,1350,1350,1350,1350,1350,1350,1350,1350,1296,1296,1296,2400,
1200,2400,400,2400,1200,2400,400,400,1200,1200,2400,300,300,2400,1200,2400,
1200,2400,400,4800,400,1200,1200,400,2400,2400,2160,2160,540,180,180,180,540,
180,2160,2160,4320,4320,4320,1080,1080,1080,1080,1080,1080,4320,2025,1800,900,
1800,600,1800,1800,300,1800,3600,900,1800,900,900,900,900,600,1800,1800,300,
3600,900,900,900,900,900,1800,1800,1800,1800,900,1800,300,900,300,900,1800,
900,900,900,900,900,1800,1800,1800,1800,300,300,900,900,1800,900,900,900,900,
900,900,900,900,1800,225,450,1800,1800,1800,1800,1800,600,1800,3600,225,1800,
1800,1800,1800,1800,600,1800,3600,3240,400,200,800,100,400,240,240,240,240,
1440,720,1440,720,720,1350,1350,1350,1350,1350,1350,450,1350,1350,1350,1350,
450,1350,1350,1350,450,1350,2700,1350,1350,450,1350,1350,1350,1350,1350,1350,
1350,1350,1350,1350,1350,1350,1296,600,1200,1200,1200,600,400,1200,1200,1200,
600,300,300,300,600,600,300,600,300,300,600,600,1200,1200,1200,1200,1200,400,
1200,180,540,540,180,540,540,540,540,540,180,540,180,540,540,1080,1080,1080,
1080,1080,1080,900,900,900,1800,300,900,900,900,1800,300,900,900,900,900,900,
900,900,225,450,225,450,450,225,450,225,450,450,450,450,450,1800,450,450,225,
225,1800,432,432,400,200,400,200,100,200,400,400,400,200,100,100,360,360,360,
360,2,240,720,720,720,720,240,240,720,720,720,720,240,720,720,720,1350,1350,
600,300,600,1200,600,300,600,300,300,600,300,300,300,300,600,300,600,300,300,
300,300,300,600,1200,540,540,180,180,540,540,540,540,180,540,180,540,540,540,
1080,1080,120,120,900,450,225,450,450,450,450,225,450,450,450,225,225,450,450,
225,450,225,432,432,400,100,400,200,200,200,200,400,100,100,400,200,200,360,
360,360,360,30,90,30,720,180,180,720,720,180,180,720,720,300,300,300,300,300,
300,300,300,300,300,300,300,300,300,540,540,40,40,240,120,240,240,120,240,225,
450,225,432,432,200,100,200,100,100,90,90,30,90,30,90,90,180,180,180,180,180,
180,180,180,180,180,180,180,300,300,72,40,120,120,120,120,40,120,120,120,120,
120,120,100,90,30,90,30,90,90,90,180,180,180,180,20,36,36,72,72,120,30,30,120,
120,120,90,40,20,40,36,36,72,72,30,30,30,30,30,30,20,20,20,30,30,12,12,20,12,
12,1,1],[1,90,2025,360,40,800,40,1600,800,30,2025,4050,30,90,4050,4050,1350,
2700,1350,4050,8100,8100,72,2592,2592,1800,120,5400,1800,21600,2400,7200,120,
5400,43200,21600,2400,7200,1350,90,4050,2025,1350,4050,4050,4050,2025,4050,
2025,8100,4050,4050,8100,8100,8100,1350,4050,8100,8100,1350,4050,8100,8100,
4050,4050,8100,400,800,20,1600,1600,1600,1600,400,1600,400,400,1600,400,400,
3240,72,3240,12960,12960,2592,12960,600,600,1800,5400,5400,5400,5400,30,1200,
600,1200,5400,5400,600,1800,5400,5400,30,1200,1200,21600,5400,10800,5400,
21600,1440,1440,225,450,1350,4050,4050,4050,4050,4050,4050,2025,2025,4050,
4050,225,1350,4050,4050,4050,2025,4050,2025,4050,2025,4050,4050,4050,4050,
8100,8100,8100,8100,2400,3600,2400,900,2400,2400,7200,20,900,14400,14400,
14400,14400,4800,4800,3600,2400,2400,14400,3600,3600,400,2400,3600,2400,14400,
3600,3600,1080,3240,3240,1080,3240,3240,3240,12960,12960,1800,1800,5400,1800,
5400,5400,5400,1350,30,1350,10800,1800,1800,5400,10800,1350,1800,5400,5400,
5400,30,1350,10800,10800,5400,5400,5400,10800,5400,5400,5400,1296,400,800,400,
1600,800,1440,4320,4320,1440,4320,4320,1350,2025,1350,1350,4050,4050,4050,
2025,4050,2025,2025,2025,2025,2025,4050,1350,4050,4050,4050,3600,3600,3600,
600,300,1200,600,300,1200,900,900,900,900,900,7200,20,900,1800,600,1200,600,
1200,14400,3600,3600,3600,3600,3600,3600,3600,3600,3600,7200,3600,3600,1080,
3240,3240,1080,3240,3240,3240,720,5400,450,450,1350,1350,1350,1350,1350,450,
450,900,5400,1350,1350,450,1350,1350,1350,450,5400,5400,2592,1296,2592,1200,
400,1200,2400,2400,800,1200,400,1200,4800,2400,2400,800,2160,2160,12,12,2160,
2160,4320,4320,4320,1080,1080,4320,2025,2025,2025,2025,2025,2025,2025,3600,
600,1800,1800,900,300,900,3600,600,1800,1800,300,900,3600,900,900,900,900,900,
900,1800,600,1800,3600,1800,600,1800,3600,3600,3600,3600,3600,3600,3240,100,
720,720,720,1350,450,1350,450,1350,1350,1350,1350,450,1350,450,1350,1350,2700,
450,1350,1350,1350,1350,1350,450,1296,1296,1296,1200,400,1200,2400,300,300,
1200,400,1200,2400,2160,2160,540,540,2160,2160,1080,1080,1080,1080,1080,1080,
2025,1800,900,300,900,1800,300,900,900,900,225,450,1800,225,1800,200,100,400,
240,240,240,240,720,720,720,1350,1350,1350,1350,1296,1200,300,300,300,300,300,
300,1200,180,180,540,180,180,540,1080,1080,900,450,225,450,450,450,450,450,
225,450,432,432,200,100,200,200,200,100,100,360,360,360,360,2,720,720,720,720,
720,300,300,300,300,300,300,540,540,120,120,225,225,225,450,225,225,225,432,
432,200,200,100,200,100,100,200,360,360,360,360,90,180,180,180,180,300,300,40,
40,120,120,225,225,100,100,100,30,30,90,180,180,180,180,72,120,120,120,120,
100,90,20,36,36,72,72,30,30,20,36,36,30,30,20,12,12,1,1],[1,90,2025,360,40,
800,40,1600,800,30,2025,4050,30,90,4050,4050,1350,2700,1350,4050,8100,8100,72,
2592,2592,1800,120,5400,1800,21600,7200,2400,120,5400,43200,21600,7200,2400,
1350,90,4050,2025,1350,4050,4050,4050,2025,4050,2025,8100,4050,4050,8100,8100,
8100,8100,1350,4050,8100,1350,4050,8100,4050,4050,8100,8100,400,800,20,1600,
1600,1600,1600,400,1600,400,400,1600,400,400,3240,72,3240,12960,2592,12960,
12960,600,600,1800,5400,5400,5400,5400,30,1200,600,1200,5400,5400,600,1800,
5400,5400,30,1200,1200,21600,5400,10800,5400,21600,1440,1440,225,450,1350,
4050,4050,4050,4050,4050,4050,2025,2025,4050,4050,225,1350,4050,4050,4050,
2025,4050,2025,4050,2025,4050,4050,4050,4050,8100,8100,8100,8100,2400,3600,
2400,900,2400,2400,7200,20,900,14400,14400,14400,14400,3600,3600,400,14400,
4800,4800,2400,3600,2400,2400,3600,2400,14400,3600,3600,1080,3240,3240,1080,
3240,3240,3240,12960,12960,1800,1800,5400,1800,5400,5400,5400,1350,30,1350,
10800,1800,1800,5400,10800,1350,1800,5400,5400,5400,30,1350,10800,10800,5400,
5400,5400,10800,5400,5400,5400,1296,400,800,400,1600,800,1440,4320,4320,1440,
4320,4320,1350,2025,1350,1350,4050,4050,4050,2025,4050,2025,2025,2025,2025,
2025,4050,1350,4050,4050,4050,3600,3600,3600,600,300,1200,600,300,1200,900,
900,900,900,900,7200,20,900,1800,600,1200,600,1200,3600,3600,3600,14400,3600,
3600,3600,3600,3600,3600,3600,7200,3600,1080,3240,3240,1080,3240,3240,3240,
720,5400,450,450,1350,1350,1350,1350,1350,450,450,900,5400,1350,1350,450,1350,
1350,1350,450,5400,5400,2592,1296,2592,1200,400,1200,2400,2400,800,1200,400,
1200,4800,2400,2400,800,2160,2160,12,12,2160,2160,4320,4320,4320,1080,1080,
4320,2025,2025,2025,2025,2025,2025,2025,3600,600,1800,1800,900,300,900,3600,
600,1800,1800,300,900,3600,900,900,900,900,900,900,1800,600,1800,3600,1800,
600,1800,3600,3600,3600,3600,3600,3600,3240,100,720,720,720,1350,450,1350,450,
1350,1350,1350,1350,1350,450,450,1350,1350,2700,450,1350,1350,1350,1350,1350,
450,1296,1296,1296,1200,400,1200,2400,300,300,1200,400,1200,2400,2160,2160,
540,540,2160,2160,1080,1080,1080,1080,1080,1080,2025,1800,900,300,900,1800,
300,900,900,900,225,450,1800,225,1800,200,100,400,240,240,240,240,720,720,720,
1350,1350,1350,1350,1296,1200,300,300,300,300,300,300,1200,180,180,540,180,
180,540,1080,1080,900,450,225,450,450,450,450,450,225,450,432,432,200,100,200,
200,200,100,100,360,360,360,360,2,720,720,720,720,720,300,300,300,300,300,300,
540,540,120,120,225,225,225,450,225,225,225,432,432,200,200,100,100,200,100,
200,360,360,360,360,90,180,180,180,180,300,300,40,40,120,120,225,225,100,100,
100,30,30,90,180,180,180,180,72,120,120,120,120,100,90,20,36,36,72,72,30,30,
20,36,36,30,30,20,12,12,1,1],[1,225,90,2025,450,225,360,360,40,800,40,1600,
800,1350,4050,1350,8100,2025,5400,30,1350,2025,4050,1350,1350,30,90,1350,4050,
4050,1350,1350,1350,4050,2700,8100,1350,2025,8100,4050,4050,8100,8100,8100,
8100,5400,72,2592,2592,600,1800,600,120,1800,5400,1800,7200,1800,2400,21600,
7200,2400,7200,2400,1800,14400,120,5400,600,1800,600,4800,43200,7200,21600,
7200,2400,2400,7200,2400,1350,2025,8100,4050,4050,450,1350,8100,8100,4050,
4050,8100,1350,4050,8100,8100,8100,8100,8100,450,8100,1350,8100,2025,4050,
4050,4050,8100,8100,8100,1350,4050,1350,1350,90,4050,450,4050,4050,4050,1350,
8100,4050,4050,2025,2025,1350,4050,4050,4050,4050,4050,2025,4050,4050,2025,
2025,8100,8100,8100,4050,4050,8100,8100,4050,8100,450,1350,4050,8100,8100,
1350,1350,4050,8100,8100,8100,4050,1350,8100,4050,1350,8100,4050,16200,8100,
4050,8100,8100,8100,8100,2700,8100,8100,1350,1350,4050,4050,8100,8100,8100,
8100,8100,8100,8100,8100,8100,4050,4050,4050,8100,4050,8100,8100,400,800,20,
1600,1600,1600,1600,400,1600,400,400,1600,400,400,3240,72,3240,12960,2592,
12960,12960,2592,12960,1800,1800,1800,10800,5400,600,1800,600,1800,1800,5400,
5400,5400,5400,5400,5400,5400,5400,1800,5400,10800,21600,21600,7200,30,1200,
600,1200,5400,5400,5400,5400,1800,1800,600,1800,5400,5400,5400,5400,1800,1800,
30,1200,1200,7200,7200,21600,21600,5400,10800,5400,1800,10800,5400,43200,1800,
5400,10800,21600,21600,7200,21600,21600,7200,7200,1440,1440,4050,4050,1350,
8100,4050,2025,1350,4050,4050,4050,2025,4050,2025,8100,4050,8100,8100,8100,
8100,1350,4050,4050,4050,1350,4050,2025,4050,4050,4050,4050,4050,4050,4050,
8100,8100,8100,8100,8100,8100,8100,8100,1350,4050,8100,8100,4050,4050,8100,
8100,8100,8100,8100,1350,4050,4050,8100,4050,4050,4050,8100,2025,2025,4050,
8100,8100,1350,4050,8100,8100,4050,4050,8100,225,4050,450,4050,1350,4050,4050,
1350,4050,1350,4050,1350,8100,2025,1350,4050,4050,4050,4050,4050,4050,4050,
4050,4050,4050,4050,4050,4050,4050,2025,4050,4050,8100,4050,4050,2025,2025,
2025,4050,4050,4050,4050,4050,4050,2025,4050,8100,225,1350,1350,4050,4050,
4050,4050,2025,4050,4050,4050,2025,4050,4050,2025,4050,4050,2025,2025,4050,
4050,4050,4050,8100,4050,4050,4050,4050,8100,8100,8100,8100,8100,8100,8100,
4050,8100,8100,4050,8100,8100,8100,8100,8100,4050,8100,4050,8100,8100,8100,
8100,8100,8100,8100,8100,8100,2400,600,4800,400,2400,3600,3600,2400,2400,900,
2400,600,4800,2400,800,2400,7200,7200,2400,20,900,600,600,4800,14400,14400,
4800,2400,2400,4800,14400,4800,14400,4800,4800,3600,3600,2400,400,2400,2400,
14400,4800,4800,3600,2400,3600,400,2400,2400,2400,3600,2400,4800,3600,2400,
2400,400,14400,4800,4800,4800,3600,3600,1080,3240,3240,1080,3240,3240,3240,
1080,1080,6480,12960,12960,12960,12960,12960,12960,1800,600,1800,5400,5400,
5400,5400,600,1800,5400,5400,5400,5400,1800,1800,5400,1800,5400,1800,5400,
5400,5400,5400,1800,1800,5400,5400,5400,5400,5400,5400,5400,5400,5400,5400,
450,3600,5400,450,3600,21600,5400,450,1350,450,30,1350,450,3600,10800,5400,
1800,1800,1800,5400,1800,600,3600,10800,3600,1350,5400,5400,1800,5400,5400,
5400,450,3600,5400,5400,5400,5400,5400,5400,1800,5400,5400,5400,5400,5400,
5400,5400,600,1800,5400,5400,1800,1800,5400,5400,30,450,1350,450,3600,10800,
10800,3600,5400,5400,5400,5400,5400,5400,10800,10800,10800,5400,5400,5400,
5400,5400,5400,21600,1296,400,800,400,1600,800,1440,4320,4320,1440,4320,4320,
2025,1350,4050,4050,4050,4050,4050,1350,4050,4050,4050,4050,4050,4050,4050,
2025,2025,4050,4050,225,1350,4050,4050,4050,2025,4050,2025,4050,2025,4050,
4050,4050,4050,4050,4050,4050,4050,4050,4050,450,1350,4050,4050,4050,2025,
4050,1350,4050,4050,4050,4050,2025,4050,4050,4050,8100,8100,8100,8100,225,
1350,4050,4050,4050,2025,4050,2025,4050,2025,4050,4050,4050,4050,8100,8100,
1350,2025,1350,1350,4050,4050,4050,1350,4050,1350,4050,4050,4050,4050,4050,
2025,4050,4050,1350,4050,4050,4050,4050,4050,4050,4050,2025,4050,4050,4050,
4050,2025,4050,2025,2025,2025,2025,2025,2025,2025,2025,2025,4050,4050,4050,
4050,2025,4050,4050,4050,1350,1350,4050,4050,4050,4050,4050,4050,4050,4050,
4050,4050,8100,8100,1800,2400,7200,3600,1800,300,1800,1800,14400,3600,2400,
3600,7200,3600,3600,3600,3600,600,300,1200,1800,600,300,1200,1800,900,900,900,
900,900,1800,1800,1800,1800,2400,7200,7200,300,1800,14400,7200,7200,2400,7200,
20,300,900,300,1800,1800,1800,1800,600,1200,600,1200,3600,7200,2400,7200,3600,
2400,14400,14400,3600,3600,3600,3600,3600,3600,7200,2400,14400,3600,7200,3600,
3600,3600,3600,3600,2400,7200,3600,2400,3600,7200,3600,14400,3600,3600,3600,
3600,2400,7200,7200,7200,3600,7200,3600,1080,3240,3240,3240,3240,1080,3240,
3240,3240,3240,3240,12960,12960,720,1800,5400,5400,1800,5400,5400,5400,1800,
5400,5400,5400,5400,5400,5400,5400,1350,1350,1350,450,2700,1350,10800,5400,
5400,5400,450,2700,1350,1350,10800,5400,5400,5400,1350,1350,1350,450,1350,450,
1350,1350,1350,1350,1350,1350,1350,1350,450,2700,450,450,900,5400,5400,5400,
5400,1800,1800,5400,10800,1350,1350,1350,1350,1350,450,1350,1350,1350,1350,
1350,1350,450,1800,5400,5400,5400,450,1350,2700,10800,5400,5400,5400,5400,
5400,5400,5400,5400,10800,5400,5400,5400,5400,2592,1296,2592,2592,2400,800,
800,1200,400,800,1200,2400,2400,2400,2400,2400,800,800,2400,1200,800,1600,400,
1200,2400,800,4800,4800,2400,2400,800,2400,800,800,2400,2160,2160,12,12,2160,
2160,4320,4320,1440,4320,4320,1080,1080,4320,4320,1440,4050,2025,4050,1350,
4050,4050,4050,1350,2025,4050,4050,2025,4050,2025,2025,2025,2025,2025,4050,
1350,4050,4050,4050,4050,4050,2025,2025,2025,2025,2025,4050,1350,4050,4050,
4050,2025,2025,2025,2025,2025,4050,2025,2025,2025,2025,2025,2025,2025,2025,
2025,2025,2025,2025,2025,2025,2025,2025,2025,4050,1800,600,600,1200,1800,900,
1800,1800,1800,3600,3600,3600,600,600,1200,1800,900,1800,1800,300,1800,900,
3600,3600,3600,3600,3600,600,600,1800,1800,1800,1800,900,300,900,1800,600,
3600,3600,1800,900,1800,600,600,1800,1800,1800,1800,300,900,600,1800,3600,
3600,900,900,900,1800,1800,900,900,900,900,900,900,900,900,1800,1800,1800,
1800,1800,1800,7200,300,900,1800,3600,1800,1800,600,600,1800,1800,600,3600,
3600,1200,1800,1800,600,1200,600,1800,1800,600,3600,3600,3600,3600,3600,3600,
3600,3600,3600,3600,3600,3600,3600,3600,3600,3600,3600,3600,3600,3600,3600,
3600,3600,3600,3600,3600,3600,3600,3600,3240,3240,1080,3240,3240,1080,3240,
100,720,720,720,5400,1350,1350,1350,1350,450,1350,1350,1350,450,1350,1350,450,
1350,1350,1350,450,900,1350,1350,1350,1350,1350,5400,1350,1350,450,1350,1350,
1350,450,5400,1350,450,1350,1350,1350,450,1350,1350,1350,1350,450,1350,1350,
1350,1350,450,1350,1350,1350,1350,1350,1350,1350,1350,450,1350,450,1350,450,
1350,1350,1350,450,2700,2700,5400,1350,1350,1350,1350,1350,450,1350,1350,450,
1350,1350,1350,1350,1350,1350,1350,1350,1350,1350,1350,1350,450,450,1296,1296,
1296,1296,1296,1296,1296,2400,1200,2400,400,2400,2400,800,1200,2400,400,400,
1200,1200,2400,2400,2400,2400,2400,300,300,2400,1200,2400,1200,2400,400,4800,
400,1200,1200,400,2400,2400,2400,2400,2400,2400,2400,800,2160,2160,2160,2160,
2160,2160,540,180,180,180,540,180,2160,2160,2160,2160,2160,2160,4320,4320,
4320,1080,1080,1080,1080,1080,1080,4320,2025,2025,2025,2025,2025,2025,2025,
2025,2025,2025,2025,2025,2025,2025,2025,1800,900,1800,600,1800,1800,300,1800,
3600,900,1800,900,900,900,900,3600,600,1800,1800,300,3600,900,900,900,900,900,
1800,1800,1800,1800,900,1800,300,900,300,900,1800,900,900,900,900,900,1800,
1800,1800,1800,300,300,900,900,1800,900,900,900,900,900,900,900,900,1800,225,
450,1800,1800,1800,1800,1800,600,1800,3600,225,1800,1800,1800,1800,1800,600,
1800,3600,3600,3600,3600,3600,3600,3240,400,200,800,100,400,400,400,240,240,
240,240,1440,720,1440,720,720,1350,1350,1350,1350,1350,1350,450,1350,1350,
1350,1350,1350,450,450,1350,1350,1350,450,1350,2700,1350,1350,450,1350,1350,
1350,1350,1350,450,1350,1350,1350,1350,1350,1350,1350,1350,1350,1350,1350,
1350,1350,1350,1350,1350,1296,1296,1296,1296,1296,1296,1296,600,1200,1200,
1200,600,400,1200,2400,1200,1200,600,300,300,300,600,600,300,600,300,300,600,
600,1200,1200,1200,1200,1200,400,1200,2400,2160,2160,180,540,540,180,540,540,
540,540,540,180,540,180,540,540,2160,2160,1080,1080,1080,1080,1080,1080,2025,
900,900,900,1800,300,900,900,900,1800,300,900,900,900,900,900,900,900,225,450,
225,450,450,225,450,225,450,450,450,450,450,450,450,1800,450,450,225,225,450,
450,1800,432,432,400,200,800,400,200,100,200,400,400,400,200,200,200,200,200,
100,100,800,360,360,360,360,2,240,720,720,720,720,240,240,720,720,720,720,240,
720,720,720,1350,1350,1350,1350,1296,600,300,600,1200,600,300,600,300,300,600,
300,300,300,300,600,300,600,300,300,300,300,300,600,1200,540,540,180,180,540,
540,540,540,180,540,180,540,540,540,1080,1080,120,120,900,450,225,450,450,450,
450,450,225,450,450,450,450,225,450,225,225,225,225,225,450,450,225,450,225,
225,225,225,225,450,432,432,400,100,400,200,200,200,200,200,200,200,200,400,
200,200,100,100,400,200,200,200,200,100,200,100,200,200,200,100,100,200,200,
360,360,360,360,360,360,360,360,360,360,360,360,30,90,30,720,180,180,720,720,
180,180,720,720,300,300,300,300,300,300,300,300,300,300,300,300,300,300,540,
540,40,40,240,120,240,240,120,240,225,225,225,450,225,225,225,225,225,225,225,
225,225,225,225,432,432,200,200,100,200,200,200,200,200,100,100,200,100,100,
100,100,200,200,200,200,360,360,360,360,90,90,30,90,30,90,90,180,180,180,180,
180,180,180,180,180,180,180,180,300,300,72,40,120,120,120,120,40,120,120,120,
120,120,120,225,225,100,100,100,100,100,100,100,90,30,90,30,90,90,90,180,180,
180,180,20,36,36,72,72,120,30,30,120,120,120,100,90,40,20,40,36,36,36,36,36,
36,72,72,30,30,30,30,30,30,20,20,20,36,36,30,30,12,12,20,12,12,1,1,1,1,1]],
[1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,5,5,5,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
9,9,9,9,9,9,9,9,9,9,9,9,9,9,10,10,10,10,10,10,10,10,10,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,15,15,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
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,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,20,20,20,20,20,20,20,20,20,20,20,20,
20,20,20,20,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
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,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
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,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,25,27,27,27,27,27,30,30,30,30,30,
30,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
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,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,40,40,40,40,40,40,40,40,40,40,40,40,40,45,48,48,48,48,48,48,48,
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,
48,48,48,48,48,48,48,48,48,50,50,50,50,54,54,54,54,54,54,54,54,54,54,54,54,54,
54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,60,60,60,60,60,60,60,60,
60,60,60,60,60,60,60,60,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,72,72,72,72,72,72,72,72,72,72,72,
72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,
72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,
72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,
72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,
72,72,72,72,72,72,72,72,72,72,72,80,80,80,80,80,80,80,81,90,90,90,96,96,96,96,
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,
96,96,96,96,96,96,96,96,96,100,100,100,100,100,100,100,108,108,108,108,108,
108,108,108,108,108,108,108,108,108,108,108,108,108,108,108,108,108,108,108,
108,108,108,108,108,108,108,108,108,108,108,108,108,108,108,120,120,120,120,
120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,
120,120,120,120,120,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,
144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,
144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,
144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,
144,144,144,144,144,144,144,144,144,160,162,162,162,162,162,162,162,180,180,
180,180,180,180,180,180,180,192,192,192,192,192,192,192,192,192,192,192,192,
192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,
192,192,192,192,192,192,192,192,192,192,192,192,192,192,200,200,200,200,200,
200,200,216,216,216,216,216,216,216,216,216,216,216,216,216,216,216,216,216,
216,216,216,216,216,216,216,216,216,216,216,216,216,240,240,240,240,240,240,
240,240,240,240,240,240,240,240,240,240,240,240,240,240,240,240,240,240,256,
288,288,288,288,288,288,288,288,288,288,288,288,288,288,288,288,288,288,288,
288,288,288,288,288,288,288,288,288,288,288,288,288,288,288,288,288,288,288,
288,288,300,300,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,
324,324,324,360,360,360,360,360,360,360,360,360,360,360,360,360,360,360,360,
360,360,360,360,384,384,384,384,400,432,432,432,432,432,432,432,432,432,432,
432,432,432,432,432,432,432,432,432,432,432,432,432,432,480,480,480,480,480,
480,480,480,480,480,480,480,480,480,480,480,540,540,576,576,576,576,576,576,
576,576,576,576,576,576,576,576,576,576,576,576,576,576,576,576,576,576,576,
576,576,576,576,576,600,600,648,648,648,648,648,648,648,648,648,648,648,648,
648,648,648,648,648,648,648,648,648,648,648,648,648,648,648,648,648,648,648,
720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,
720,720,720,720,720,864,864,864,864,864,864,864,864,864,864,864,864,864,864,
960,960,1080,1080,1080,1080,1080,1080,1080,1080,1152,1152,1152,1152,1152,1152,
1152,1152,1152,1152,1152,1152,1152,1152,1152,1200,1200,1296,1296,1296,1296,
1296,1296,1296,1296,1296,1296,1296,1296,1296,1296,1296,1296,1296,1296,1296,
1440,1440,1440,1440,1440,1440,1440,1440,1440,1440,1440,1440,1440,1440,1440,
1440,1440,1440,1440,1440,1440,1440,1440,1728,1728,1800,2160,2160,2160,2160,
2160,2160,2160,2160,2160,2160,2160,2160,2304,2304,2592,2592,2592,2592,2592,
2592,2592,2880,2880,2880,2880,2880,2880,2880,2880,2880,2880,2880,3240,3600,
3600,3600,3600,4320,4320,4320,4320,4320,4320,5184,5760,6480,6480,6480,7200,
7200,7200,7200,7200,7200,7200,7200,8640,8640,8640,8640,8640,8640,12960,12960,
12960,14400,14400,17280,17280,21600,21600,25920,43200,43200,129600,259200,
259200,259200,518400],
[2027,1962,1993,1648,1890,1961,1924,1925,2011,1811,2013,1700,1827,1730,1431,
1730,1068,1648,1292,2017,1730,1648,1426,1729,1729,2016,1993,1730,1426,1426,
1729,1729,1732,1433,1561,1088,1731,1648,1072,1427,1433,1079,1079,1079,1079,
1284,2004,1590,1591,1866,1649,1863,1986,1657,1261,1652,1147,1663,1601,581,
1223,1601,1226,1601,1681,850,1989,1328,1872,1688,1874,1385,273,1240,655,1229,
1623,1623,1233,1623,1730,1648,1068,1426,1426,1890,1730,1068,1068,1426,1426,
1079,1731,1431,1079,1079,1079,1079,1079,1891,1068,1730,1068,1648,1426,1426,
1426,1088,1079,1079,1732,1433,1730,1729,1993,1426,1890,1426,1426,1426,1730,
1068,1426,1426,1648,1648,1729,1426,1426,1426,1426,1426,1648,1426,1426,1648,
1648,1079,1079,1072,1426,1426,1072,1068,1426,1072,1887,1729,1426,1072,1072,
1729,1729,1426,1072,1072,1079,1427,1732,1079,1427,1732,1079,1427,732,1079,
1433,1079,1079,1079,1079,1561,1097,1097,1731,1731,1431,1431,1079,1079,1079,
1079,1079,1079,1079,1079,1079,1433,1433,1433,1079,1433,1097,1097,1905,1817,
2020,1692,1700,1700,1701,1908,1702,1907,1914,1705,1920,1922,1525,2004,1525,
917,1590,917,918,1591,918,1649,1649,1657,923,1261,1866,1649,1863,1649,1649,
1261,1261,1261,1261,1261,1261,1261,1261,1652,1261,927,581,581,1147,2017,1740,
1872,1748,1328,1328,1328,1328,1663,1663,1874,1663,1328,1328,1328,1328,1663,
1663,2016,1736,1756,1223,1226,581,581,1292,1009,1284,1681,993,1328,273,1688,
1328,976,655,655,1240,655,655,1229,1233,1726,1728,1426,1426,1730,1068,1426,
1648,1729,1426,1426,1426,1648,1426,1648,1079,1426,1068,1068,1068,1068,1730,
1426,1426,1426,1729,1426,1648,1426,1426,1426,1426,1426,1426,1426,1068,1072,
1079,1079,1079,1079,1079,1079,1731,1431,1079,1079,1431,1431,1084,1079,1079,
1079,1079,1730,1426,1426,1068,1426,1426,1426,1079,1648,1648,1426,1072,1097,
1732,1433,1079,1079,1427,1433,1097,1962,1426,1890,1426,1730,1426,1426,1730,
1426,1730,1426,1729,1072,1648,1729,1426,1426,1426,1426,1426,1426,1426,1426,
1426,1426,1426,1426,1426,1426,1648,1426,1426,1072,1426,1426,1648,1648,1648,
1427,1427,1427,1427,1426,1426,1648,1426,1079,1961,1729,1729,1426,1426,1426,
1426,1648,1426,1426,1426,1648,1426,1426,1648,1426,1426,1648,1648,1431,1431,
1431,1431,1079,1433,1433,1433,1433,1072,1072,1072,1079,1079,1079,1079,1427,
1079,1096,1427,1097,1079,1079,1079,1079,1433,1079,1433,1097,1097,1097,1097,
1097,1097,1097,1097,1097,1595,1866,1361,1905,1595,1456,1456,1601,1601,1776,
1616,1863,1381,1616,1817,1603,1198,1198,1603,2020,1776,1872,1874,1363,815,846,
1385,1601,1601,1385,869,1372,870,1375,1392,1520,1520,1601,1908,1623,1623,879,
1391,1376,1521,1601,1521,1907,1623,1623,1620,1522,1620,1390,1522,1623,1623,
1914,894,1393,1385,1385,1523,1524,1772,1525,1525,1773,1525,1525,1525,1772,
1773,1254,917,917,917,918,918,918,1649,1863,1649,1261,1261,1261,1261,1866,
1649,1261,1261,1261,1261,1649,1657,1261,1657,1261,1649,1261,1261,1261,1261,
1652,1652,1261,1261,1261,1261,1261,1261,1261,1261,1261,1261,1890,1486,1284,
1891,1468,581,1292,1891,1730,1890,2017,1730,1890,1461,949,1328,1681,1663,1663,
1328,1681,1872,1510,979,1509,1729,1328,1328,1688,1328,1328,1328,1887,1514,
1328,1328,1328,1328,1328,1328,1688,1328,1328,1328,1328,1328,1328,1328,1874,
1663,1328,1328,1663,1663,1328,1328,2016,1890,1729,1887,1449,941,1000,1519,
1292,1292,1292,1292,1292,1292,1009,1009,1009,1284,1284,1284,1284,1284,1284,
655,1733,1904,1811,1911,1700,1827,1726,1418,1418,1728,1425,1425,1648,1729,
1426,1426,1426,1426,1426,1730,1426,1426,1426,1426,1426,1426,1426,1648,1648,
1427,1427,1961,1729,1426,1426,1426,1648,1426,1648,1426,1648,1431,1431,1433,
1433,1426,1426,1426,1426,1426,1426,1890,1730,1426,1426,1426,1648,1426,1729,
1426,1426,1426,1426,1648,1426,1431,1431,1079,1079,1079,1079,1962,1730,1426,
1426,1426,1648,1426,1648,1426,1648,1427,1433,1427,1433,1097,1097,1730,1648,
1732,1732,1426,1426,1426,1729,1426,1730,1426,1426,1426,1426,1426,1648,1427,
1427,1729,1426,1426,1426,1426,1426,1426,1426,1648,1426,1426,1433,1433,1648,
1426,1648,1648,1648,1648,1648,1648,1648,1648,1648,1427,1427,1427,1427,1648,
1426,1431,1431,1731,1731,1433,1433,1433,1433,1433,1433,1431,1431,1431,1431,
1097,1097,1649,1595,1133,1456,1649,1947,1654,1649,815,1456,1601,1456,1147,
1456,1456,1456,1456,1866,1947,1740,1649,1863,1946,1736,1649,1776,1776,1776,
1776,1776,1663,1663,1663,1663,1616,1198,1198,1946,1659,846,1198,1198,1603,
1198,2020,1947,1776,1946,1665,1663,1651,1655,1872,1748,1874,1756,1520,1223,
1601,1226,1521,1601,869,870,1520,1520,1520,1520,1520,1520,1229,1623,879,1521,
1233,1521,1521,1521,1521,1521,1623,1237,1522,1620,1522,1240,1522,894,1522,
1522,1522,1522,1623,1244,1245,1246,1523,1248,1524,1772,1525,1525,1525,1525,
1773,1525,1525,1525,1525,1525,917,918,1862,1649,1261,1261,1652,1261,1261,1261,
1657,1261,1261,1261,1261,1261,1261,1261,1729,1730,1729,1890,1548,1729,941,
1284,1284,1284,1891,1555,1730,1730,949,1292,1292,1292,1730,1730,1730,1891,
1730,1890,1730,1730,1730,1730,1730,1730,1730,1730,1890,1564,1892,1890,1782,
1328,1328,1328,1328,1681,1663,1328,979,1729,1729,1729,1729,1729,1887,1729,
1729,1729,1729,1729,1729,1888,1688,1328,1328,1328,1887,1729,1559,1000,1328,
1328,1328,1328,1292,1292,1292,1292,1009,1284,1284,1284,1284,1587,1733,1590,
1591,1595,1809,1811,1737,1904,1817,1737,1603,1601,1601,1601,1601,1811,1811,
1616,1757,1817,1700,1911,1757,1620,1822,1385,1385,1623,1623,1827,1623,1827,
1827,1623,1624,1625,2021,2022,1640,1641,1416,1417,1726,1418,1418,1772,1773,
1425,1425,1728,1426,1648,1427,1729,1426,1426,1426,1730,1648,1426,1426,1648,
1426,1648,1648,1648,1648,1648,1427,1731,1433,1433,1431,1426,1426,1648,1648,
1648,1648,1648,1431,1732,1433,1433,1427,1648,1648,1648,1648,1648,1426,1648,
1648,1648,1648,1648,1648,1648,1648,1648,1648,1648,1648,1648,1648,1648,1648,
1648,1431,1649,1863,1863,1736,1649,1776,1649,1649,1649,1456,1456,1456,1866,
1866,1740,1649,1776,1649,1649,1947,1653,1776,1455,1456,1456,1456,1456,1866,
1866,1657,1657,1657,1657,1776,1947,1776,1663,1872,1461,1461,1649,1776,1649,
1863,1863,1652,1652,1652,1652,1946,1776,1874,1663,1449,1449,1776,1776,1776,
1663,1663,1776,1776,1776,1776,1776,1776,1776,1776,1663,1663,1663,1663,1663,
1663,1198,1946,1776,1658,1493,1681,1681,1872,1872,1681,1681,1872,1510,1510,
1748,1688,1688,1874,1756,1874,1688,1688,1874,1519,1519,1520,1520,1520,1521,
1521,1521,1520,1520,1520,1520,1521,1521,1521,1521,1522,1522,1522,1522,1522,
1522,1522,1523,1524,1523,1523,1524,1524,1525,1525,1772,1525,1525,1773,1525,
1992,1862,1862,1862,1261,1729,1730,1729,1729,1887,1729,1729,1729,1888,1730,
1730,1890,1730,1730,1730,1890,1782,1729,1729,1729,1729,1729,1284,1730,1730,
1891,1730,1730,1730,1892,1292,1730,1890,1730,1730,1730,1891,1730,1730,1730,
1730,1891,1730,1730,1730,1730,1890,1730,1730,1730,1730,1730,1730,1732,1732,
1892,1732,1892,1732,1890,1729,1729,1729,1890,1561,1561,1328,1729,1729,1729,
1729,1729,1887,1729,1729,1887,1729,1729,1729,1729,1729,1729,1729,1729,1731,
1731,1731,1731,1888,1888,1733,1733,1733,1733,1733,1733,1733,1595,1737,1595,
1904,1601,1601,1811,1737,1603,1904,1904,1737,1737,1603,1601,1601,1601,1601,
1947,1946,1616,1757,1616,1757,1620,1911,1385,1911,1757,1757,1911,1620,1623,
1623,1623,1623,1623,1623,1827,1624,1624,1624,1625,1625,1625,1877,1977,1978,
1980,1878,1979,1640,1640,1640,1641,1641,1641,1416,1417,1418,1772,1772,1772,
1773,1773,1773,1425,1648,1648,1648,1648,1648,1648,1648,1648,1648,1648,1648,
1648,1648,1648,1648,1649,1776,1649,1863,1652,1652,1946,1649,1449,1776,1649,
1776,1776,1776,1776,1456,1866,1657,1657,1947,1461,1776,1776,1776,1776,1776,
1657,1657,1657,1657,1776,1663,1947,1776,1947,1776,1663,1776,1776,1776,1776,
1776,1652,1652,1652,1652,1946,1946,1776,1776,1663,1776,1776,1776,1776,1776,
1776,1776,1776,1663,1962,1890,1681,1681,1681,1681,1681,1872,1681,1510,1961,
1688,1688,1688,1688,1688,1874,1688,1519,1520,1521,1522,1523,1524,1525,1905,
1963,1817,1992,1907,1908,1914,1955,1957,1958,1960,1726,1862,1728,1862,1862,
1729,1729,1729,1730,1730,1730,1887,1729,1729,1729,1731,1731,1888,1890,1730,
1730,1730,1890,1729,1561,1729,1729,1891,1730,1730,1730,1732,1732,1892,1730,
1730,1730,1730,1732,1732,1732,1732,1729,1729,1729,1729,1731,1731,1731,1731,
1733,1733,1733,1733,1733,1733,1733,1863,1737,1737,1737,1866,1904,1737,1601,
1737,1737,1866,1947,1947,1947,1872,1872,1946,1863,1946,1946,1874,1874,1757,
1757,1757,1757,1757,1911,1757,1623,1624,1625,1977,1877,1877,1978,1877,1877,
1877,1878,1878,1980,1878,1979,1878,1878,1640,1641,1772,1772,1772,1773,1773,
1773,1648,1776,1776,1776,1652,1946,1776,1776,1776,1657,1947,1776,1776,1776,
1776,1776,1776,1776,1961,1890,1962,1890,1891,1962,1891,1962,1892,1892,1890,
1890,1890,1890,1890,1681,1887,1887,1961,1961,1888,1888,1688,1902,1903,1904,
1964,1811,1904,1963,1992,1963,1911,1911,1912,1964,1964,1964,1964,1964,1992,
1992,1827,1923,1924,1925,1926,2024,1955,1854,1854,1857,1857,1957,1958,1858,
1858,1861,1861,1960,1862,1862,1862,1729,1730,1731,1732,1733,1863,1946,1863,
1737,1866,1947,1866,1947,1947,1872,1947,1947,1947,1947,1872,1946,1874,1946,
1946,1946,1946,1946,1874,1757,1877,1877,1977,1978,1877,1877,1877,1878,1979,
1878,1980,1878,1878,1878,1772,1773,1990,1991,1776,1887,1961,1888,1890,1890,
1890,1891,1962,1892,1890,1890,1891,1962,1892,1962,1962,1962,1962,1962,1890,
1890,1961,1887,1961,1961,1961,1961,1961,1888,1902,1903,1904,1992,1904,1964,
1964,1964,1964,1964,1964,1963,1963,1911,1964,1964,1992,1992,1911,1966,1967,
1964,1964,1992,1964,1992,1964,1964,1964,1992,1992,1967,1966,1923,1923,1923,
1924,1924,1924,1925,1925,1925,1926,1926,1926,2017,1993,2016,1854,1977,1978,
1857,1858,1980,1979,1861,1862,1946,1946,1946,1947,1947,1947,1947,1947,1947,
1947,1946,1946,1946,1946,1877,1878,2011,2013,1955,1990,1957,1958,1991,1960,
1961,1961,1961,1890,1962,1962,1962,1962,1962,1962,1962,1961,1961,1961,1961,
1902,1903,1963,1964,1992,1964,1964,1964,1964,1963,1992,1992,1964,1992,1992,
1992,1992,1966,1966,1967,1967,1923,1924,1925,1926,1993,1993,2017,1993,2016,
1993,1993,1977,1977,1977,1978,1978,1978,1979,1980,1980,1980,1979,1979,1946,
1947,2004,2011,1986,1986,1989,1989,2013,1990,1990,1990,1991,1991,1991,1961,
1962,1992,1992,1992,1992,1992,1992,1992,1993,2016,1993,2017,1993,1993,1993,
1977,1978,1979,1980,2020,2014,2015,2003,2004,1986,2017,2016,1989,1990,1991,
1992,1993,2011,2020,2013,2014,2014,2014,2015,2015,2015,2003,2004,2016,2017,
2017,2017,2016,2016,2020,2020,2020,2014,2015,2016,2017,2021,2022,2020,2021,
2022,2027,2027,2027,2027,2027],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,9,1,9,9,1,9,1,1,1,10,10,1,10,1,10,1,1,11,11,11,1,11,12,
12,1,13,1,13,13,1,13,3,1,3,1,3,1,3,1,3,1,3,4,1,1,4,1,1,4,4,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,3,3,3,1,1,1,3,3,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,3,3,3,3,3,1,1,1,
3,3,1,3,3,1,3,3,1,4,1,1,4,1,1,4,1,4,4,1,1,4,4,1,1,4,4,1,1,1,1,4,4,4,4,1,4,4,1,
1,4,4,4,1,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,47,47,48,48,1,49,49,1,9,9,9,9,9,
1,9,1,9,1,9,1,9,1,1,9,1,9,9,9,9,10,1,10,20,20,1,20,1,1,11,11,11,11,1,1,11,11,
1,1,11,11,26,26,26,10,10,10,10,33,35,37,11,11,11,12,11,11,11,1,13,13,13,13,13,
13,1,1,3,3,3,3,3,4,1,3,3,4,1,3,4,4,3,3,3,3,3,1,3,1,3,1,3,1,3,1,3,1,3,3,3,3,3,
4,4,4,4,4,4,1,1,4,4,4,4,4,4,4,4,4,1,3,1,3,1,3,1,4,1,1,1,3,4,1,4,4,1,1,4,1,1,3,
1,3,1,3,3,1,3,1,3,3,3,4,1,4,3,3,4,3,3,3,4,3,1,3,3,3,1,1,3,3,3,3,3,4,1,4,4,4,4,
4,3,4,4,3,4,1,1,1,3,3,3,3,4,4,3,3,4,3,4,1,3,1,4,4,4,4,4,4,4,4,4,4,4,3,3,3,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,41,41,41,41,41,41,41,41,9,9,9,195,9,1,195,10,10,
1,9,9,9,11,196,9,196,1,11,197,197,11,11,10,198,199,12,10,10,12,200,11,201,10,
13,202,1,10,202,13,13,203,13,10,1,10,204,204,13,13,11,1,11,11,205,13,13,205,
206,13,12,12,207,208,1,47,47,1,1,47,47,47,47,47,48,48,48,49,49,49,51,9,51,9,
51,9,51,9,9,9,9,9,9,3,9,3,1,51,51,9,51,9,51,9,1,51,3,9,51,9,51,9,3,51,1,26,26,
37,20,20,10,33,242,20,242,242,242,20,243,243,3,11,58,3,58,1,11,245,245,20,26,
11,58,1,3,11,58,26,26,11,58,3,1,58,11,11,11,11,11,58,58,11,11,11,58,11,58,58,
11,58,11,260,260,260,260,261,261,262,262,267,267,33,267,33,267,268,35,268,37,
37,269,269,269,269,13,1,1,1,1,1,1,47,9,284,47,11,285,22,3,22,3,22,3,22,3,3,3,
3,3,3,22,22,4,22,4,22,1,3,3,22,3,22,22,22,22,4,4,4,4,22,22,22,3,3,22,22,1,3,
22,3,3,22,22,1,3,22,3,3,22,22,37,37,4,4,4,4,1,1,3,3,3,4,4,1,3,4,4,4,4,4,41,41,
3,22,33,33,22,3,22,3,22,3,3,22,3,22,22,22,33,33,3,22,3,22,22,22,22,3,22,3,22,
41,41,22,22,22,4,4,22,22,22,22,22,22,33,33,33,33,22,22,4,22,37,37,41,41,41,41,
41,41,37,37,37,37,41,41,9,195,9,195,9,197,197,197,198,195,195,195,10,195,195,
195,195,20,1,20,9,26,1,26,9,1,197,197,197,197,11,11,11,11,196,9,196,197,197,
199,196,11,196,196,197,197,197,197,197,197,197,197,20,20,26,26,202,10,202,10,
204,204,200,201,202,202,202,202,202,202,13,202,203,204,13,204,204,204,204,204,
204,11,205,205,205,13,205,206,205,205,205,205,205,207,208,207,207,208,208,47,
3,209,47,47,47,47,47,47,209,209,48,49,1,51,51,51,9,51,51,51,9,51,9,51,51,3,51,
51,26,20,26,260,260,260,261,37,269,269,242,242,20,242,243,33,267,267,242,242,
242,20,242,20,242,20,242,242,20,242,20,242,242,242,358,26,360,58,3,58,58,11,
58,58,245,26,260,260,260,260,26,26,26,260,260,260,260,405,11,58,58,58,260,260,
260,262,58,11,58,58,267,267,267,267,268,269,269,269,269,47,656,48,49,9,195,
195,9,197,196,657,11,10,658,10,10,202,204,9,11,196,196,197,659,11,205,660,12,
661,13,202,13,204,205,13,1049,1050,1051,1052,1053,1054,1055,1056,284,284,47,
20,26,47,285,285,22,22,125,3,22,22,22,3,22,3,22,22,22,22,4,22,22,22,125,37,
137,137,37,22,22,22,133,133,133,133,133,33,41,41,33,22,125,125,125,125,22,22,
125,125,125,125,137,137,137,137,133,133,133,133,137,137,137,137,133,51,225,9,
225,51,197,470,197,470,195,467,467,223,9,223,9,197,197,197,480,480,480,481,
195,195,467,467,824,242,223,242,20,824,3,197,470,58,11,243,826,51,197,470,260,
828,225,26,828,260,197,470,11,58,830,261,197,197,470,58,11,197,197,197,197,
197,197,197,197,470,197,197,470,470,197,196,480,480,480,481,242,244,859,242,
859,20,244,245,860,244,26,252,252,252,260,861,260,861,862,262,202,496,496,204,
507,507,202,202,496,496,204,204,507,507,205,515,515,205,205,515,515,523,524,
523,207,524,208,209,209,47,209,47,47,209,1,47,197,919,51,127,113,260,601,26,
127,260,601,405,242,584,20,113,242,584,26,360,26,260,260,260,260,269,242,242,
20,20,242,242,358,267,584,242,584,584,584,242,242,242,242,113,242,584,584,242,
584,242,584,113,242,584,242,584,969,969,969,358,969,358,260,601,127,601,260,
971,971,58,260,601,127,601,260,260,260,260,260,601,601,601,601,260,601,260,
601,405,405,992,992,992,992,656,656,656,656,656,656,656,195,197,657,657,658,
195,658,657,196,657,197,197,657,657,202,204,658,658,20,26,196,197,659,659,205,
659,660,197,659,197,659,659,661,661,661,205,204,202,661,1049,1049,1049,1050,
1050,1050,1051,1051,1051,1052,1052,1052,1053,1053,1053,1054,1054,1054,1055,
1056,284,525,242,1060,528,260,1061,285,22,125,125,393,393,133,133,137,137,393,
393,393,393,393,393,51,470,470,828,225,828,197,470,830,470,470,480,481,480,
481,467,824,223,824,197,826,197,480,480,480,480,824,824,824,242,470,58,197,
470,197,470,470,470,480,481,480,481,828,260,828,828,197,197,470,470,470,480,
481,480,481,197,470,470,197,470,358,360,859,242,859,859,244,859,859,860,405,
252,260,861,861,861,861,861,862,496,507,515,903,905,209,195,197,196,1257,204,
202,205,1051,1051,1052,1052,284,919,285,197,919,601,127,601,584,113,584,260,
601,601,601,405,992,992,242,584,584,584,260,601,971,260,601,242,242,584,584,
969,358,969,584,584,584,584,969,969,969,969,601,601,601,601,992,992,992,992,
656,1015,1015,656,656,1015,1015,225,657,480,1022,223,1022,1022,658,657,657,
824,242,825,1377,859,244,260,828,829,1378,252,861,659,480,1036,659,659,1036,
1036,661,1049,1050,1051,1051,1051,1051,1051,1051,1051,1052,1052,1052,1052,
1052,1052,1052,1053,1054,1060,1060,525,528,1061,1061,393,470,833,833,828,480,
833,833,833,824,480,833,480,833,470,470,833,833,405,360,358,958,956,1501,956,
1501,969,969,970,1502,958,1502,970,859,985,985,1511,1511,992,992,861,1051,
1052,657,1257,658,657,197,1257,1257,659,659,1257,1257,1257,1257,1257,1257,
1257,1257,661,1709,1710,1711,1712,1713,1533,1533,1051,1051,1534,1534,1535,
1535,1052,1052,1536,1536,919,919,919,601,584,992,969,1015,828,829,1378,1022,
824,825,1377,1377,1377,859,825,1377,825,1377,1377,1378,861,1378,829,829,1378,
1378,1378,1036,1404,1404,1051,1051,1404,1404,1051,1408,1052,1408,1052,1052,
1408,1408,1060,1061,1051,1052,833,985,1511,992,958,970,1502,956,1501,969,1502,
1502,1501,1501,1501,1501,1501,1501,1501,1501,1502,1502,1511,1511,1511,1511,
1511,1511,1511,1511,1689,1690,1022,1257,1527,1257,1257,1529,1529,1529,1529,
1257,1257,1036,1529,1529,1257,1257,1527,1529,1529,1257,1257,1529,1529,1529,
1529,1257,1257,1529,1529,1257,1257,1709,1709,1709,1710,1710,1710,1711,1711,
1711,1712,1712,1712,1713,1713,1713,1533,1626,1629,1534,1535,1635,1637,1536,
1259,1378,1173,1612,1377,1158,1606,1606,1606,1377,1377,1378,1378,1612,1612,
1404,1408,1713,1713,1533,1774,1534,1535,1775,1536,1511,1511,1511,1502,1501,
1501,1501,1673,1673,1673,1673,1684,1684,1684,1684,1689,1690,1527,1529,1529,
1529,1529,1529,1529,1527,1529,1257,1529,1529,1529,1529,1529,1707,1707,1706,
1706,1709,1710,1711,1712,1713,1713,1713,1713,1713,1713,1713,1855,1855,1626,
1629,1856,1856,1637,1635,1859,1859,1860,1860,1612,1606,1713,1879,1879,1713,
1713,1880,1880,1774,1774,1774,1775,1775,1775,1684,1673,1696,1529,1696,1707,
1706,1707,1706,1852,1713,1852,1713,1713,1852,1852,1855,1856,1860,1859,1713,
1982,1983,1984,1948,1879,1929,1931,1880,1882,1885,1823,1852,1879,1981,1880,
1982,1982,1982,1983,1983,1983,1984,1948,1931,1929,1987,1987,1988,1988,1981,
1981,1981,1982,1983,1988,1987,2018,2019,1995,2018,2019,2023,2023,2023,2023,
2023],
[( 1, 3,12, 9, 7, 6)( 2, 8)( 4,10)( 5,11),( 1, 4,12, 6,10, 9, 2, 5)
( 3, 7, 8,11)],
[[[[]]],[[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,-1,3,
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1,3,1,1,2,2,2,1,1,3,-1]]],[[[1,1,2,1],[2,1,3,2,1,1]]],[[[1,2],[3,1,2,3,3,-1,2,
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-1],[3,2],[3,1,5,-1,6,-1,5,1,6,-1]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,
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1,2,-2,4,1,2,1,1,-1],[3,1,5,1,3,2,5,2]]],[[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,
1,2,-2,4,1,2,1,1,-1],[5,1,3,1,5,-1,3,1,5,1,3,2]],[[2,2,1,1,2,1,1,1,2,1,1,2],[
1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,-1],[6,2,3,2]]],[[[1,2,2,1,1,1,2,3],[2,1,
1,-2,2,1,1,-1,2,1],[3,-3,4,-1,3,-1,4,1,3,-1,4,-1]],[[1,2,2,1,1,1,2,3],[1,1,2,
2,1,2,2,-2],[4,1,3,-3,4,-1]]],[[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,
2,1,1,-1],[3,1,5,1,3,1,5,1]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,
1,1,-1],[5,1,3,1,5,1,3,1]]],[[[1,2,2,1,1,-1,2,3,1,2,2,1]]],[[[2,2,1,1,2,1,1,1,
2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,2],[6,2,5,-1,6,1,5,1]],[[2,2,1,1,2,
1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[5,1,3,1,5,1,3,1]]],[[[2,2,1,1,2,
1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,-1],[6,2,3,2]],[[2,2,1,1,
2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[5,1,3,1,5,1,3,1]]],[[[2,2,1,1,
2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[5,1,3,1,5,-2,3,-2]],[[2,2,1,1,
2,1,1,1,2,1,1,2],[3,2],[4,-3]]],[[[2,1,1,1,2,1,1,2,2,1]]],[[[2,2,1,1,2,1,1,1,
2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[5,1,3,-1,5,1,3,3]],[[2,2,1,1,2,1,1,1,
2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[5,1,3,3,5,1,3,-1]]],[[[1,1,2,1],[2,1,
1,1],[3,1,4,1,3,-1,4,-1]]],[[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,
1,1,-1],[3,3,5,2,3,1,5,-1]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,
1,1,-1],[5,1,3,1,5,1,3,1]]],[[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,
1,1,-1],[3,2],[6,1,5,1,6,2,5,-1]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,
4,1,2,1,1,-1],[3,1,5,-1],[3,2,6,2]]],[[[2,1,1,1,2,1],[1,2,3,-2]]],[[[1,1,2,
1],[2,2,1,1,3,-1,2,1,3,1,1,2]],[[1,1,2,1],[1,2,2,2],[4,1,3,1,4,1,3,1]]],[[[1,
2,2,-1,1,1,2,-1,1,1,2,-1,1,-1]],[[1,1,2,-1,1,1,2,-1,1,1,2,-1]]],[[[1,2,2,1,1,
1,2,3],[1,1,2,2,1,2,2,-2],[3,2],[4,1,5,-1,4,1,5,1]],[[1,2,2,1,1,1,2,3],[1,1,2,
2,1,2,2,-2],[4,1,3,-1,4,-1,3,-1,4,2]]],[[[1,2],[3,1,2,1,3,-1,1,-1,2,-2]]],[[[
2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,-1],[6,2,3,
2]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[5,1,3,2,5,-1,3,
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5,2]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,3,5,2,3,1,5,
-1]]],[[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,2],[3,1,5,
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4,1,2,1,1,-1],[5,1,3,1,5,-2,3,-2]]],[[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,
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1,2,-2,4,1,2,1,1,-1],[3,1,5,1,3,1,5,-2]]],[[[1,1,2,1],[2,2,3,2,1,1,2,-1]],[[1,
1,2,-4,1,-1]]],[[[2,2]]],[[[1,2,2,1,1,1,2,3],[2,1,1,-2,2,1,1,-1,2,1],[3,1,4,
1],[4,1,3,-1,4,-1,5,2,4,1,3,2]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,2],[
4,1,5,-1,4,1,5,1]]],[[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,1,4,1],[4,2,3,1,
5,-1,3,2,5,-1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[4,1,3,1,4,1],[3,2,5,
2]]],[[[1,1,2,-2,1,2]]],[[[2,1,1,1,2,1,1,-2,2,1,1,1]]],[[[1,2,2,2,1,-1,2,1,1,
1,2,-1,1,1,2,1]],[[1,2],[3,1,2,3,3,-1,2,-2]]],[[[2,1,1,-1,2,-1,1,1]]],[[[2,1,
1,-3,2,1,1,-1]]],[[[2,1,1,2,2,1,1,2]]],[[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,
2,-2,4,1,2,1,1,-1],[3,2],[6,1,5,1,6,-1,5,1,6,1]],[[2,2,1,1,2,1,1,1,2,1,1,2],[
1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,1,3,2,5,2]]],[[[1,2],[2,1,1,-1,2,-1],[3,1,
4,1,3,1,4,-1]]],[[[1,2],[1,1,2,1],[4,1,3,1,2,2,1,1,2,-1,3,-1,4,1]],[[1,2],[2,
1,1,-1,2,-1],[3,1,4,1,3,-1,4,-1]]],[[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,
-2,4,1,2,1,1,-1],[3,2,5,-1,3,-1,5,-1]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,
2,-2,4,1,2,1,1,-1],[5,1,3,-2,5,1,3,1]]],[[[1,2],[2,1,3,1,1,1,2,1,3,1,2,1,3,
-1]]],[[[1,2],[2,1,1,1],[4,1,2,-1,3,1,2,1,4,-1,3,-1]],[[1,2],[1,1,2,2],[4,1,3,
1,4,1,3,1]]],[[[1,1,2,2,1,2,2,1]]],[[[1,1,2,1,1,2]]],[[[1,1,2,1],[1,2,2,1,3,2,
2,1]]],[[[1,2],[3,1,2,-2,3,-1,2,-1,1,-1],[1,2],[5,-1,2,1,1,1,2,-2],[4,2,6,-2,
4,1,6,2]],[[1,2],[3,1,2,-2,3,-1,2,-1,1,-1],[1,2],[5,-1,2,1,1,1,2,-2],[4,2],[4,
1,6,1,7,-1,6,1]]],[[[1,2],[2,2,1,1],[3,1,4,1,3,1,4,1]],[[1,2],[2,1,1,1],[4,1,
3,1,4,1,3,1]]],[[[1,1]]],[[[1,2],[1,1,2,1],[1,1,2,-1],[3,1,5,1,4,2,5,1,3,
1]],[[1,2],[3,1,2,3,3,-1,2,-2]]],[[[1,1,2,1],[3,1,2,1,3,1]]],[[[1,1,2,1],[3,1,
2,1,1,-3,2,-1,3,-1]],[[1,-1,2,1,1,-1,2,-1]]],[[[1,1,2,-2,1,-3,2,3,1,1]]],[[[1,
2,2,2,1,-1,2,-1]]],[[[1,2],[1,1,2,1],[1,1,2,-1,3,1,4,-1,3,1,2,1,1,1,4,1]],[[1,
1,2,1],[1,2,2,2],[3,1,4,1,3,1,4,1]]],[[[1,2],[1,1,2,1],[4,1,3,-1,2,-1,3,1,2,1,
4,1]],[[1,2],[2,1,1,-1,2,-1,3,-1,2,-1,1,-1,2,1,3,-1]]],[[[1,2],[1,1,2,1],[4,1,
3,1,2,2,1,1,2,-1,3,-1,4,1]],[[1,2],[3,1,2,1,1,1,2,-1,3,1,2,-1,1,1,2,1]]],[[[1,
1,2,1],[2,1,3,1],[3,1,4,1,1,2,4,1]]],[[[1,2],[3,1,2,1,1,1,2,-1,3,1,2,-1,1,1,2,
1]],[[1,1,2,1],[1,2,2,1,3,2,1,-1]]],[[[1,2],[1,1,2,1],[4,1,3,1,2,2,1,1,2,-1,3,
-1,4,1]],[[1,2],[2,1,1,1,2,-2,1,1,2,1]]],[[[1,2],[2,2],[3,1,4,-2,3,-1],[2,1,1,
1,2,2,1,-1,2,-1],[5,1,6,1],[5,1,6,-1,5,1,6,-1,7,2]],[[1,2],[2,2],[3,1,4,-2,3,
-1]]],[[[1,1,2,1]]],[[[1,2],[3,1,1,1,2,-4,1,1,3,1]],[[1,2],[1,1,2,2],[3,1,4,1,
3,1,4,1]]],[[[2,3,1,1,2,1]]],[[[2,2,1,-3,2,-2]],[[1,-3]]],[[[1,2],[1,1,2,1,3,
-1,2,-2,3,1,2,2,1,-1]],[[1,2],[2,1,1,-1,2,1,3,-1,2,-1,1,-1,2,-1,3,-1]]],[[[1,
1,2,2,1,1,2,-1]]],[[[1,2],[2,1,3,1],[3,1,4,1,1,1,2,1,4,-1]],[[1,2,2,-1,1,1,2,
-1,1,1,2,-1,1,-1]]],[[[2,2,1,2,2,1,1,2,2,1,1,-1,2,1]],[[1,1,2,1],[1,2,2,2],[3,
1,4,1,3,1,4,1]]],[[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[5,
1,3,2,5,2,3,1]],[[2,2,1,1,2,1,1,1,2,1,1,2],[3,2],[4,-3]],[[2,2,1,1,2,1,1,1,2,
1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,1,3,2,5,2]]],[[[2,2,1,1,2,1,1,1,2,
1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[5,1,3,2,5,2,3,1]],[[1,2],[3,1,2,-2,3,1,
2,1,1,-1],[4,1,1,-2,2,-1,1,-1,2,-1,1,-1,2,-2,4,-2]]],[[[2,2,1,1,2,1,1,1,2,1,1,
2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,2],[3,1,5,1,6,-1,5,-1,6,-1]],[[2,2,1,1,2,
1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,1,3,2,5,2]],[[2,2,1,1,2,1,
1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,3,5,2,3,1,5,-1]]],[[[1,2],[1,1,
2,1],[4,1,3,1,2,1,1,-1,2,2,3,1,4,1]],[[1,2],[1,1,2,1],[3,1,2,1,4,2,3,-1,2,
-1]]],[[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[5,1,3,-1,5,1,
3,3]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,-3,3,
-1]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[5,1,3,3,5,1,3,
-1]]],[[[1,1,2,1],[2,2,1,1,3,-1,2,1,3,1,1,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,4,
-1,3,-1]]],[[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,2,
3,1,5,-1,3,2]],[[2,2,1,1,2,1,1,1,2,1,1,2],[3,2],[4,-3]],[[2,2,1,1,2,1,1,1,2,1,
1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,1,3,2,5,2]]],[[[2,2,1,1,2,1,1,1,2,1,
1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[5,1,3,1,5,-1,3,3,5,1]],[[2,2,1,1,2,1,1,1,
2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,1,3,2,5,2]],[[2,2,1,1,2,1,1,1,2,
1,1,2],[3,2],[4,-3]]],[[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,
-1],[3,1,5,-3,3,-1]],[[2,2,1,1,2,1,1,1,2,1,1,2],[3,2],[4,-3]],[[2,2,1,1,2,1,1,
1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,1,3,2,5,-1]]],[[[2,2,1,1,2,1,
1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,1,3,1,5,-2]],[[1,2],[3,1,2,
-2,3,1,2,1,1,-1],[4,1,1,-2,2,-1,1,-1,2,-1,1,-1,2,-2,4,1]]],[[[1,2],[1,1,2,2],[
4,1,3,1,4,1,3,1]],[[1,2],[2,1,3,1,2,-1,1,-1,3,-1,2,1]]],[[[2,2,1,1,2,1,1,1,2,
1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,2],[3,1,5,-1,6,-1,5,1,6,-1]],[[2,2,1,
1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,1,3,2,5,2]],[[2,2,1,1,
2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,-1],[6,2,3,2]]],[[[2,2,
1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,3,5,2,3,1,5,-1]],[[2,2,
1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,1,3,2,5,-1]],[[2,2,
1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,-1],[6,2,3,2]]],[[[
1,1,2,1],[1,2,2,1,3,2,1,-1]],[[1,2],[1,1,2,-1],[3,1,4,2,3,1]]],[[[1,2,2,1,1,1,
2,3],[2,1,1,-2,2,1,1,-1,2,1],[3,1,4,1],[4,1,3,-3,5,-2]],[[1,2,2,1,1,1,2,3],[1,
1,2,2,1,2,2,-2],[4,1,3,1,4,1],[3,2,5,2]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,
-2],[3,1,4,1],[4,2,3,1,5,-1,3,2,5,-1]]],[[[1,2,2,1,1,1,2,3],[2,1,1,-2,2,1,1,
-1,2,1],[4,1,3,1],[4,1,5,1,4,-1,3,-1,5,1,4,-1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,
2,2,-2],[3,1,4,1,3,-1,4,-2,3,1,4,-1]]],[[[1,2,2,1,1,1,2,3],[2,1,1,-2,2,1,1,-1,
2,1],[4,1,3,1],[4,1,5,1,4,1,5,-1,3,1,4,1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,
-2],[3,1,4,1,3,-1,4,-2,3,1,4,-1]]],[[[1,1,2,-1],[3,1,2,-1,1,-3,2,1,3,-1]],[[1,
1,2,1],[2,1,3,2,1,-1,2,-1,3,-1]]],[[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,
4,1,2,1,1,-1],[5,2,3,1,5,-1,3,-3]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,
4,1,2,1,1,-1],[5,1,3,1,5,1,3,1]],[[2,2,1,1,2,1,1,1,2,1,1,2],[3,2],[4,-3]]],[[[
2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,3,5,2,3,1,5,-1]],[[
2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[5,1,3,1,5,1,3,1]],[[2,
2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,-1],[6,2,3,
2]]],[[[2,1,1,-1,2,1,1,1,2,1,1,1,2,-2,1,-2]],[[1,2],[1,1,2,-2,1,1,2,1,3,-1,2,
1]]],[[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,2,3,-3,
5,-1]],[[1,2],[3,1,2,-2,3,1,2,1,1,-1],[4,1,1,-2,2,-1,1,-1,2,-1,1,-1,2,-2,4,
-2]]],[[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[5,1,3,1,5,-1,
3,3,5,1]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[5,1,3,1,5,
1,3,1]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,-3,3,
-1]]],[[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,-1],[6,
2,3,2]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,-3,3,
-1]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[5,1,3,-1,5,1,3,
3]]],[[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,-1],[6,
2,3,2]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[5,1,3,1,5,1,
3,1]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,1,3,1,5,
-2]]],[[[2,1,1,2,2,1,1,2,2,2]],[[2,2,1,-1,2,2,1,2,2,1]]],[[[2,2,1,1,2,1,1,1,2,
1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,-1],[6,2,3,2]],[[2,2,1,1,2,1,1,1,
2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,1,3,1,5,-2]],[[2,2,1,1,2,1,1,1,
2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[5,1,3,2,5,-1,3,-2]]],[[[1,2,2,1,1,1,2,
3],[2,1,1,-2,2,1,1,-1,2,1],[3,2],[5,1,4,1,3,1,4,-1,3,-1,4,1,3,-1,5,-1]],[[1,2,
2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,1,4,-1,3,-1,4,1]],[[1,2,2,1,1,1,2,3],[1,1,
2,2,1,2,2,-2],[3,1,4,1],[5,1,4,1,3,-1,4,-1,5,1,3,2]]],[[[1,2],[1,1,2,1],[3,1,
4,-1,2,-1,4,1,3,-1,2,1,1,-1]],[[2,1,1,1,2,-1,1,1,2,1,1,2,2,2,1,-1]]],[[[1,2,2,
1,1,1,2,3],[2,1,1,-2,2,1,1,-1,2,1],[4,1,3,1],[5,1,3,2,4,1,5,-1]],[[1,2,2,1,1,
1,2,3],[1,1,2,2,1,2,2,-2],[4,1,3,-1,4,-1,3,-1,4,2]],[[1,2,2,1,1,1,2,3],[1,1,2,
2,1,2,2,-2],[4,1,3,-3,4,2,3,-1,4,-1]]],[[[1,2],[1,1,2,1],[3,1,2,-1,4,1,3,1,4,
1,2,1]],[[1,2],[3,-1,2,2,3,1,2,-1,1,-1]]],[[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[
4,1,2,-2,4,1,2,1,1,-1],[3,1,5,-1],[6,2,3,2]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,
2],[4,1,2,-2,4,1,2,1,1,-1],[5,1,3,1,5,1,3,1]],[[2,2,1,1,2,1,1,1,2,1,1,2],[3,
2],[4,-3]]],[[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[5,1,3,
1,5,-2,3,-2]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[5,1,3,
1,5,1,3,1]]],[[[1,1,2,1],[1,2,2,2],[3,1,4,1,3,1,4,1]],[[1,1,2,1],[1,2,2,2],[4,
1,3,1,4,1,3,1]]],[[[1,2],[1,1,2,2],[3,1,4,-1,3,-1,4,-1]],[[1,2],[1,1,2,2],[3,
1,4,1,3,1,4,1]]],[[[1,1,2,1],[2,2,1,1,3,-1,2,1,3,1,1,2]],[[1,1,2,1],[2,2,3,2,
1,1,2,-1]],[[1,1,2,1],[1,2,2,2],[4,1,3,1,4,1,3,1]]],[[[2,2,1,1,2,1,1,1,2,1,1,
2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[5,1,3,2,5,1,3,-1,5,-1]],[[1,2],[3,1,2,-2,3,
1,2,1,1,-1],[4,1,1,-2,2,-1,1,-1,2,-1,1,-1,2,-2,4,-2]]],[[[1,1,2,1],[3,1,1,1,2,
-1,1,2,2,-2,3,-1]],[[1,1,2,1],[1,2,2,2],[4,1,3,1,4,1,3,1]]],[[[2,2,1,1,2,1,1,
1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,2],[6,2,5,-1,6,1,5,1]],[[2,2,1,1,
2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[5,1,3,1,5,-2,3,-2]],[[2,2,1,1,
2,1,1,1,2,1,1,2],[3,2],[4,-3]]],[[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,
1,2,1,1,-1],[3,2,5,-1,3,-1,5,-1]],[[1,2],[3,1,2,-2,3,1,2,1,1,-1],[4,1,1,-2,2,
-1,1,-1,2,-1,1,-1,2,-2,4,-2]]],[[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,
1,2,1,1,-1],[5,1,3,1,5,-1,3,3,5,1]],[[1,2],[3,1,2,-2,3,1,2,1,1,-1],[4,1,1,-2,
2,-1,1,-1,2,-1,1,-1,2,-2,4,-2]]],[[[1,2],[2,1,3,1],[1,1,2,1,4,-1,3,1,4,1]],[[
1,2],[1,1,2,2],[3,1,4,1,3,1,4,1]]],[[[1,2],[3,1,2,-2,3,1,2,1,1,-1],[4,1,1,-2,
2,-1,1,-1,2,-1,1,-1,2,-2,4,-2]],[[1,2],[3,1,2,-2,3,1,2,1,1,-1],[4,1,1,-2,2,-1,
1,-1,2,-1,1,-1,2,-2,4,1]]],[[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,2],[5,1,
4,-1,5,1,3,1,4,2]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[4,1,3,-1,4,-1,3,-1,
4,2]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,2],[4,1,5,-1,4,1,5,1]]],[[[1,1,
2,1],[1,2,2,2],[3,1,4,1,3,1,4,1]],[[2,2,1,-1],[3,1,1,1,2,1,1,2,3,1]]],[[[1,
2],[1,1,2,1],[4,1,3,-1,4,1,3,1,4,2]],[[1,2],[1,1,2,-2],[4,1,3,1,4,1,3,1]],[[1,
1,2,1],[1,2,2,2],[4,1,3,1,4,1,3,1]]],[[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,
-2,4,1,2,1,1,-1],[3,1,5,-1],[3,2,6,2]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,
2,-2,4,1,2,1,1,-1],[5,1,3,1,5,1,3,1]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,
-2,4,1,2,1,1,-1],[3,1,5,-1],[6,1,3,2,6,1]]],[[[2,2,1,1,2,1,1,1,2,1,1,2],[1,
2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,-1,3,3,5,2]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,
2],[4,1,2,-2,4,1,2,1,1,-1],[5,1,3,1,5,1,3,1]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,
2],[4,1,2,-2,4,1,2,1,1,-1],[3,2],[5,2,6,1,5,1,6,-1]]],[[[1,1,2,1],[1,2,2,2],[
4,1,3,1,4,1,3,1]],[[2,2,1,2,2,1,1,2,2,1]]],[[[1,1,2,1],[2,1,1,-1,2,-1,3,-1,2,
1,3,2]],[[1,2],[2,1,1,1,2,1],[3,1,4,2,3,1]]],[[[1,2,2,1,1,1,2,-1,1,1,2,2,1,-1,
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1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[5,1,3,1,5,1,3,1]],[[2,2,1,1,2,1,1,1,2,1,
1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,1,3,1,5,-2]]],[[[1,2],[1,1,2,1],[3,
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2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,2],[3,1,5,-1,6,-1,5,1,6,-1]],[[1,
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1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,-3,3,-1]]],[[[1,2],[1,
1,2,1],[3,1,4,-3,3,-1]],[[1,1,2,1],[2,1,3,2,1,1]],[[1,2],[1,1,2,1],[3,-1,4,-3,
3,1]]],[[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,2,3,1,
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1,-1],[3,2],[5,2,6,-1,5,1,6,1]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,
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2],[2,1,1,1,2,1,3,1,2,2,1,1,3,1]],[[1,1,2,1],[1,2,2,2],[3,1,4,1,3,1,4,1]]],[[[
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-1]]],[[[1,2],[1,1,2,1],[2,1,1,1],[3,1,5,1,4,2,3,-1,5,-1]],[[2,2],[3,1,1,1,2,
1,3,1,1,-2]]],[[[1,2],[3,1,2,1,1,1,2,1,3,1,2,1,3,-1]],[[1,1,2,1],[2,1,3,2,1,
1]]],[[[1,2],[2,1,1,1,2,1],[3,1,4,2,3,1]],[[1,1,2,-1],[1,1,2,1,1,-2,3,
-2]]],[[[1,2],[1,1,2,1],[4,2,3,-1,4,1,3,1,4,1]],[[1,2],[1,1,2,1],[4,1,3,1,4,
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1,1,2,3],[1,1,2,2,1,2,2,-2],[3,2],[4,1,5,-1,4,1,5,1]]],[[[1,2,2,1,1,1,2,3],[1,
1,2,2,1,2,2,-2],[4,1,3,2,4,-1,3,-1,4,1,3,-1,4,-1]],[[1,2,2,1,1,1,2,3],[1,1,2,
2,1,2,2,-2],[4,1,3,-1,4,-1,3,-1,4,2]],[[1,2,2,1,1,1,2,3],[2,1,1,-2,2,1,1,-1,2,
1],[4,1,3,1,4,1,3,-1,4,-1,3,-1]]],[[[1,2],[3,1,2,1,1,1,3,1,2,-1,3,-1]],[[1,
2],[2,1,1,1,3,1,2,-1,3,1]]],[[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,-3,3,-1]],[[1,2],[
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1,4,1,3,1,4,-1,3,-2]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,1,4,-1,3,-1,4,
1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[4,1,3,-3,4,-1]]],[[[1,2,2,1,1,1,2,
3],[2,1,1,-2,2,1,1,-1,2,1],[4,1,3,-1,4,1,3,-3,4,-1,3,-1]],[[1,2,2,1,1,1,2,3],[
1,1,2,2,1,2,2,-2],[3,2],[4,1,5,-1,4,1,5,1]]],[[[1,1,2,1],[2,1,1,1,2,-1,3,-2,2,
-2,1,-2]],[[1,2],[1,1,2,2],[3,1,4,1,3,1,4,1]]],[[[1,2,2,1,1,1,2,3],[2,1,1,-2,
2,1,1,-1,2,1],[4,1,3,1,4,1,3,1,4,1,3,-2]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,
-2],[3,2],[5,1,4,-2,5,1,4,1,3,-1]]],[[[1,2],[3,1,2,-1,1,-1,2,-1,3,1,2,1,3,
1]],[[1,1,2,1],[3,1,1,1,2,1,3,1]]],[[[1,2,2,1,1,1,2,3],[2,1,1,-2,2,1,1,-1,2,
1],[3,2,4,-1,3,1,4,-1,3,1,4,-1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[4,1,3,
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1],[2,1,3,1,4,2,3,1,1,1]]],[[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,1,4,1,3,
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-2]]],[[[2,1,1,1],[3,1,2,-1,1,-3,2,1,3,-1]],[[1,1,2,1],[1,2,2,-1,3,-2,2,-1,3,
-1]]],[[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,-1],[3,
2,6,2]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,-3,3,
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3,2,6,1]]],[[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,2],[3,1,4,2,5,-1,4,1,5,
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1,4,1]]],[[[1,2,2,1,1,1,2,3],[2,1,1,-2,2,1,1,-1,2,1],[4,1,3,1],[4,1,5,1,4,1,5,
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1,1,2,3],[1,1,2,2,1,2,2,-2],[4,1,3,1,4,1],[3,2,5,2]]],[[[1,2,2,1,1,1,2,3],[1,
1,2,2,1,2,2,-2],[4,1,3,1,4,1],[3,2,5,2]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,
-2],[4,1,3,-3,4,-1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,1,4,-4,3,
-1]]],[[[1,2],[1,1,2,1],[2,1,1,1,3,1,4,1,3,1,4,-1,2,-1]],[[1,1,2,1],[1,2,2,-1,
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1],[2,1,1,2],[4,1,3,1,4,1,3,1]],[[1,2],[3,1,2,-1,1,-1,3,-1,2,1,3,-1]]],[[[1,
2],[2,1,1,1],[1,1,2,1,3,-1,4,-1,3,-1,2,1,4,-1]],[[1,2],[3,1,2,3,3,-1,2,
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2,3],[3,1,2,1,1,-2,2,1,1,-1,2,1,3,1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[
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2,3],[1,1,2,2,1,2,2,-2],[4,1,3,-3,4,3]],[[1,2,2,1,1,1,2,3],[3,1,2,1,1,-2,2,1,
1,-1,2,1,3,1]]],[[[1,1,2,1],[2,1,3,1,1,-2,2,-2,3,-1]],[[1,2],[2,1,3,1],[1,1,2,
1,4,-1,3,1,4,1]]],[[[1,2],[1,1,2,1,3,-1,2,-2,3,1,2,1,1,-1,2,-1]],[[1,1,2,-1,1,
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1],[3,1,1,2,2,-2,3,1,2,1,1,-1,2,-1]],[[1,2],[1,1,2,1],[4,2,3,1,4,1,3,1,2,
1]]],[[[1,2],[1,1,2,1,3,-1,2,-2,3,1,2,2,1,-1]],[[1,2],[3,1,2,3,3,-1,2,
-2]]],[[[1,2],[2,1,1,-1,2,1,3,1,2,2,3,-1]],[[2,1,1,-3,2,-1]]],[[[1,2],[2,1,1,
1,2,1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[1,2,2,-2,3,1,2,1,3,1]]],[[[2,1]]],[[[1,
2,2,-1,1,1,2,-1]]],[[[1,2],[2,1,1,1],[4,1,2,-1,3,-1,2,1,4,-1,3,1]],[[1,2],[2,
1,1,-1,2,-1],[3,1,4,1,3,-1,4,-1]]],[[[1,2],[2,1,1,-1,2,-1,3,-1,2,-1,1,-1,2,1,
3,-1]],[[1,2],[2,1,1,1],[4,1,2,-1,3,-1,2,1,4,-1,3,1]]],[[[1,2],[1,1,2,1],[2,1,
1,1],[5,1,3,1,4,1,5,-1,3,-1,4,-1]],[[1,2],[2,1,1,1],[4,1,2,-1,3,-1,2,1,4,-1,3,
1]]],[[[1,2],[2,1,1,1],[4,1,2,-1,3,-1,2,1,4,-1,3,1]],[[1,2],[1,1,2,1],[3,1,4,
1,3,1,4,1]]],[[[1,2],[2,1,1,1],[4,1,2,-1,3,1,2,1,4,-1,3,-1]],[[1,2],[1,1,2,
1],[2,1,3,1,4,-1,2,1,4,1,3,-1]]],[[[1,1,2,1],[3,2,2,1,3,1,2,2,1,1]],[[1,1,2,
1],[2,1,3,1],[4,1,3,2,4,1]]],[[[1,2],[2,1,1,1,2,1,3,-1,2,-1,1,1,2,-1,3,-1]],[[
1,1,2,1],[2,1,1,-1,2,-1],[3,1,4,1,3,1,4,1]]],[[[1,1,2,1],[2,1,3,-1,2,1,3,1,1,
2]],[[1,2],[3,1,2,-1,3,1,2,1,3,-1]]],[[[1,2],[3,1,2,-1,1,-1,2,-1,3,1,2,2,1,
-1]],[[1,2],[3,1,2,1,1,-1,2,1,1,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,2,4,
-1]],[[1,2],[3,1,1,1,2,-1,1,-1,2,1,3,1]]],[[[1,2],[3,1,2,1,1,1,2,-1,3,1,2,-1,
1,1,2,1]],[[1,1,2,1],[2,2,1,1],[4,1,3,2,4,-1]]],[[[1,2],[2,1,1,-1,2,-1,3,-1,2,
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2,1,1,3,1]],[[1,2],[3,-1,2,2,1,-1,2,-1,1,1,2,1]]],[[[1,1,2,1],[2,1,1,-1,2,1,3,
1,1,-1,2,-2,3,-1]],[[1,1,2,1],[2,2,1,-1],[4,1,3,2,4,1]]],[[[1,1,2,3,1,-1,2,
1]]],[[[1,2],[1,1,2,1],[3,1,2,-1,4,-1,2,1,4,1,3,-1]],[[1,1,2,1],[1,2,2,2],[3,
1,4,1,3,1,4,1]]],[[[1,2],[3,1,2,1,1,1,2,1,1,-1,2,-2,3,-1]],[[2,-4]]],[[[1,2],[
1,1,2,1],[4,1,2,1,3,-1,2,-1,3,-1,4,-1]],[[1,2],[1,1,2,1],[4,1,3,-1,2,-1,3,1,2,
1,4,1]]],[[[2,1,1,-3,2,-1]],[[1,-3]]],[[[1,1,2,2]]],[[[1,1,2,1],[2,1,1,-1,3,
-2,2,1,1,-1]],[[2,-4]]],[[[1,2],[1,1,2,2],[4,1,3,1,4,1,3,1],[1,1,2,1],[6,1,2,
1,1,-2,6,1,2,2],[5,1,7,1]],[[1,1,2,1],[3,1,2,1,1,-2,3,1,2,2],[4,2]]],[[[1,2,2,
-1]]],[[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,2,5,-2,3,1,
5,-1]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,1,3,2,
5,2]]],[[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[5,1,3,1,5,
-2,3,-2]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,2],[6,1,
5,-1,6,1,3,1]]],[[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[5,
1,3,-2,5,1,3,1]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,
-1,5,1,3,-1]]],[[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,2,
5,1,3,1,5,-1]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,-4,
5,-1]]],[[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,2],[6,1,
5,1,6,-1,5,1,6,1]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[
3,1,5,1,3,2,5,-1]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[
3,1,5,1,3,2,5,2]]],[[[1,2],[2,1,1,1],[4,1,2,-1,3,1,2,1,4,-1,3,1]],[[1,2],[2,1,
1,-1,2,-1],[3,1,4,-1,3,1,4,1]]],[[[1,1,2,1],[1,1,2,-2,1,2,3,1,2,1,3,1]],[[1,2,
2,1,1,-1,2,3,1,2,2,1]]],[[[1,2],[1,1,2,1],[1,1,2,-1],[4,1,5,1,3,1,4,1,5,1,3,
-1]],[[1,1,2,1],[1,2,2,2],[3,1,4,1,3,1,4,1]]],[[[2,1,1,-1,2,-1,1,2,2,-1,1,-1,
2,-1],[2,1,1,2,2,-1,1,1,2,-1],[4,1,3,1,4,-1,3,1,4,-1,3,2]],[[2,1,1,-1,2,-1,1,
2,2,-1,1,-1,2,-1],[2,1,1,2,2,-1,1,1,2,-1],[3,2],[5,1,4,2,5,1]],[[2,1,1,-1,2,
-1,1,2,2,-1,1,-1,2,-1],[2,1,1,2,2,-1,1,1,2,-1],[3,1,4,1,3,2,4,1,3,1]]],[[[1,
2],[3,1,2,1,3,-1,2,1]]],[[[1,2],[2,1,1,1],[4,1,2,-1,3,1,2,1,4,-1,3,1]],[[1,1,
2,1],[1,2,2,2],[4,1,3,1,4,1,3,1]]],[[[1,1,2,1],[1,2,2,2],[3,1,4,1,3,1,4,1]],[[
2,2,1,1],[3,1,2,-1,1,-1,3,1,1,2]]],[[[2,1,1,-1,2,-1,1,2,2,-1,1,-1,2,-1],[2,1,
1,2,2,-1,1,1,2,-1],[4,1,3,2,4,1,3,2]],[[2,1,1,-1,2,-1,1,2,2,-1,1,-1,2,-1],[2,
1,1,2,2,-1,1,1,2,-1],[4,1,3,1,4,1,3,-3]],[[2,1,1,-1,2,-1,1,2,2,-1,1,-1,2,-1],[
3,1,2,1,1,2,2,-1,1,1,2,-1],[4,1,3,2,4,1]]],[[[2,2,1,-3,2,1]]],[[[1,1,2,1],[1,
-3,2,-2,3,-2,2,-1]],[[1,1,2,1],[1,2,2,2],[4,1,3,1,4,1,3,1]]],[[[1,2],[1,1,2,
2],[4,1,3,1,4,1,3,1]],[[1,2],[2,2,1,1],[4,1,3,1,4,1,3,1]]],[[[1,1,2,1],[1,2,3,
2,2,1,1,-1]],[[1,2],[3,-1,2,2,1,-1,2,1]]],[[[1,2],[2,1,1,1],[4,1,2,-1,3,1,2,1,
4,-1,3,-1]],[[2,1,1,-1,2,1],[1,2,3,2]]],[[[1,2],[1,1,2,1],[4,1,3,1,2,-2,4,-2,
3,-1]],[[1,1,2,1],[1,2,2,2],[3,1,4,1,3,1,4,1]]],[[[1,1,2,1],[2,1,1,1,2,-1,3,2,
2,1,1,-1,2,1]],[[1,1,2,1],[3,1,1,2,2,1,1,-1,2,2,3,1]],[[1,2],[2,1,1,1],[4,1,2,
-1,3,-1,2,1,4,-1,3,1]]],[[[1,1,2,1],[3,1,2,1,1,-1,2,-1,1,2,2,1,3,1]],[[1,1,2,
1],[2,2,1,1,3,-1,2,1,3,1,1,2]]],[[[1,2],[2,1,1,1],[2,1,4,-1,3,1,4,1,2,-1,3,
1],[1,2],[2,1,1,1,2,-1,6,-1,2,-1,1,1,2,1],[5,2,7,1,5,-1]],[[1,2],[2,1,1,1],[2,
1,4,-1,3,1,4,1,2,-1,3,1],[1,2],[1,1,2,2,6,-1,2,1],[7,1,5,2]]],[[[1,2],[2,1,3,
-1,2,-1,1,-1,2,-1]],[[1,1,2,-1,1,1,2,1,1,-1]]],[[[1,1,2,1],[3,1,1,-1,2,-2,1,2,
3,1,2,1]],[[1,1,2,-1],[3,1,2,-1,1,-3,2,1,3,-1]]],[[[1,2],[2,1,1,1],[2,1,4,-1,
3,-1,4,1,2,-1,3,1]],[[1,2],[2,1,1,-1,2,-1],[3,1,4,1,3,-1,4,-1]]],[[[1,1,2,1],[
2,1,3,1],[3,1,4,2,3,1]],[[1,1,2,1,1,-1,2,-1,1,-2]]],[[[1,2],[3,1,2,1,1,1,2,-1,
3,-1,2,-1,1,1,2,-1]],[[1,2],[1,1,2,-2,3,-1,1,1,2,1,3,1,2,-1]]],[[[1,1,2,1],[2,
1,1,1],[2,1,4,-1,3,1,2,1,4,1,3,-1]],[[1,1,2,1],[3,1,2,1,3,1,2,2,1,1,3,1]]],[[[
1,1,2,1],[2,1,3,1,1,2,2,2,1,1,3,-1]],[[1,1,2,1],[3,1,1,1,2,1,1,-1,2,-1,3,
1]]],[[[2,2,1,2,2,-1,1,-1]]],[[[1,2],[1,1,2,1],[4,1,3,1,2,1,4,1,3,-1,2,-1]],[[
1,1,2,1],[1,2,2,2],[4,1,3,1,4,1,3,1]]],[[[1,2],[1,1,2,1],[4,1,3,1,2,1,4,1,3,
-1,2,-1]],[[1,2],[1,1,2,-2],[4,1,3,1,4,1,3,1]]],[[[1,1,2,-1,1,2,2,2],[1,-1,2,
1,1,2],[3,1,4,-1,3,1,4,2,3,2]],[[1,1,2,-1,1,2,2,2],[1,-1,2,1,1,2],[3,1,4,-1,3,
-2,4,1,3,1]],[[1,1,2,-1,1,2,2,2],[1,-1,2,1,1,2],[3,2],[5,1,4,-1,5,1,4,
-1]]],[[[2,1,1,1,2,1,1,2,2,1]],[[1,1,2,-1,1,2,2,-2]]],[[[1,1,2,1],[3,1,1,1,2,
1,1,-1,2,-1,3,1]],[[2,1,1,1,2,2,1,-1,2,-1,1,2]]],[[[2,2,1,1,2,1,1,1,2,1,1,
2]]],[[[1,2],[1,1,2,1],[1,1,2,-1,3,1,4,1,3,1,2,1,1,1,4,1]],[[1,2],[1,1,2,1],[
2,2],[4,1,3,1,5,-2,3,-1,4,-1]]],[[[1,2],[1,1,2,1],[4,1,3,-1,2,1,1,-1,2,1,1,1,
3,1,4,1]],[[1,2],[2,1,1,-1,2,-1,3,-1,2,-1,1,-1,2,1,3,-1]]],[[[1,2],[1,1,2,1],[
4,1,1,1,2,-1,3,1,4,1,3,1,2,1,1,1]],[[1,2],[1,1,2,1],[3,-1,4,-3,3,1]]],[[[1,1,
2,1],[2,2,1,1,3,2,1,1]],[[1,1,2,1],[2,2,3,2,1,1,2,-1]]],[[[1,2],[2,1,3,1],[1,
1,2,1,4,-1,3,1,4,1]],[[2,1,1,-1,2,1,1,-2,2,2,1,-1]]],[[[1,2],[2,1,3,1],[3,1,4,
1,1,1,2,1,4,-1]],[[1,1,2,1],[2,2,3,2,1,1,2,-1]]],[[[1,2],[1,1,2,1],[1,1,2,-1,
3,1,4,-1,3,1,2,1,1,1,4,1]],[[1,2],[2,1,1,-1,2,-1,3,-1,2,-1,1,-1,2,1,3,
-1]]],[[[1,1,2,1],[2,1,1,-1,2,1,3,1,1,-1,2,-2,3,-1]],[[1,2],[1,1,2,2,1,-1,2,
-1,3,1,2,-1,3,1]]],[[[1,1,2,1],[2,1,3,-1,2,1,3,1,1,2]],[[2,1,1,1],[2,1,3,2,2,
-1]]],[[[1,2],[3,1,2,1,3,-1,2,2,1,-1],[4,1],[2,2,1,1,2,-1,1,-1],[6,1,5,1],[7,
2,6,-1,5,-1]],[[1,2],[3,1,2,1,3,-1,2,2,1,-1],[4,2]],[[1,2],[1,1,2,-1,3,-1,2,
-2,1,-1,3,-1],[1,2],[5,1,2,1,5,-1,2,2,1,-1],[4,-3,6,2]]],[[[1,2],[1,1,2,1],[3,
1,4,1,3,1,4,1,2,1]],[[1,2],[2,-1,3,1,1,1,2,1]]],[[[1,1,2,1],[2,1,1,2,3,2,2,1,
1,-1]],[[1,1,2,-1,1,-3,2,1,1,-1]]],[[[1,2],[1,1,2,1,3,-1,2,-2,3,1,2,2,1,
-1]],[[1,2],[3,1,2,1,1,1,2,-2,1,-1,3,-1]]],[[[1,2],[2,1,1,1],[4,1,3,1,4,1,3,
1]],[[1,1,2,2],[3,1,1,2,3,-1]]],[[[1,1,2,1],[3,1,1,-2,2,1,1,-1,3,1,1,-1,2,
-1]],[[1,1,2,1],[2,2,1,1],[4,1,3,2,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,2,
2,-1,3,-1]],[[1,2],[2,1,1,1,2,1,3,-1,2,-1,1,1,2,-1,3,-1]]],[[[1,1,2,1],[1,-3,
2,-1,3,-1,2,2,3,1]],[[1,1,2,1],[1,2,2,2],[3,1,4,1,3,1,4,1]]],[[[1,1,2,-1,1,2,
2,2],[1,-1,2,1,1,2],[3,2],[4,2,5,-1,4,1,5,1]],[[1,1,2,-1,1,2,2,2],[1,-1,2,1,1,
2],[3,-1,4,1,3,1,4,-1]]],[[[1,2],[1,1,2,1],[4,1,3,-1,2,-1,3,1,2,1,4,1]],[[1,
2],[2,1,3,1],[3,1,4,1,1,1,2,1,4,-1]]],[[[1,2],[3,1,2,1,1,1,2,-1,3,-1,2,-1,1,1,
2,-1],[1,1,2,1],[1,-3,2,-3,5,-2],[4,1,6,-1]],[[1,1,2,1,1,-1,2,1,1,-1,2,
-1]]],[[[1,1,2,1],[2,1,1,1,2,-1,1,-2,3,-1,2,-1,3,-1]],[[1,1,2,1],[2,1,3,2,1,
1]]],[[[1,2],[1,1,2,1],[1,1,2,-1,3,-1,4,2,3,1,2,2]],[[1,2],[2,2],[3,1,4,-2,3,
-1]]],[[[1,1,2,1],[2,1,1,1,2,-1,1,-2,3,-1,2,-1,3,-1]],[[1,1,2,1],[2,2,3,2,1,1,
2,-1]]],[[[1,2],[2,2,1,1,2,-1,1,-1,3,1]],[[2,1,1,-3,2,-1]]],[[[1,1,2,1],[2,1,
3,-1,2,1,3,1,1,2]],[[1,1,2,1],[3,1,1,1,2,1,3,1]],[[1,1,2,1],[2,2,3,2,1,1,2,
-1]]],[[[1,2],[3,1,2,2,1,1,2,-1,3,-1]],[[2,1,1,-3,2,-1]]],[[[1,1,2,1],[2,1,1,
2],[4,1,3,1,4,1,3,1]],[[1,1,2,-1,1,-3,2,1,1,-1]]],[[[1,2,2,1,1,1,2,3],[3,2],[
3,1,2,1,1,-2,2,1,1,-1,2,1],[4,1,5,-3,4,-1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,
-2],[3,1,4,2,3,1,4,-2]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[4,1,3,1,4,2,3,
1,4,-1]]],[[[1,2],[3,1,2,3,3,-1,2,-2]],[[2,1,1,1,2,3]]],[[[1,1,2,1],[3,1,2,1,
1,-3,2,-1,3,-1]],[[1,1,2,1],[3,1,1,1,2,1,3,1]]],[[[1,-3,2,1,1,-1,2,-1]]],[[[2,
2,1,-2]]],[[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[5,1,3,2,
5,2,3,1]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[5,1,3,1,5,
1,3,1]],[[1,2],[3,1,2,-2,3,1,2,1,1,-1],[4,1,1,-2,2,-1,1,-1,2,-1,1,-1,2,-2,4,
-2]]],[[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[5,1,3,1,5,-2,
3,-2]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,1,3,1,
5,1]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,-1,3,2,
5,-2]]],[[[1,2],[3,1,2,-2,3,1,2,1,1,-1],[4,1,1,-2,2,-1,1,-1,2,-1,1,-1,2,-2,4,
-2]],[[2,2,1,1,2,1,1,1,2,1,1,2],[3,-3]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,
2,-2,4,1,2,1,1,-1],[3,1,5,1,3,1,5,1]]],[[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,
2,-2,4,1,2,1,1,-1],[3,1,5,2,3,-3,5,-1]],[[1,2],[3,1,2,-2,3,1,2,1,1,-1],[4,1,1,
-2,2,-1,1,-1,2,-1,1,-1,2,-2,4,-2]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,
4,1,2,1,1,-1],[5,1,3,1,5,1,3,1]]],[[[1,2],[3,1,2,-2,3,1,2,1,1,-1],[4,2,2,2,1,
1,2,1,1,1,2,1,1,2,4,-1]],[[1,2],[3,1,2,-2,3,1,2,1,1,-1],[4,1,1,-2,2,-1,1,-1,2,
-1,1,-1,2,-2,4,1]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[
5,1,3,1,5,1,3,1]]],[[[1,2,2,1,1,1,2,3],[2,1,1,-2,2,1,1,-1,2,1],[3,2,4,-1,3,1,
4,-1,3,1,4,-1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,1,4,1,3,1,4,1]],[[1,
2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[4,1,3,-3,4,2,3,-1,4,-1]]],[[[2,2,1,1,2,1,1,
1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[5,1,3,3,5,1,3,-1]],[[2,2,1,1,2,1,1,
1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,2,5,-1,3,-1,5,-1]],[[2,2,1,1,2,1,
1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,-3,3,-1]],[[2,2,1,1,2,1,1,1,
2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,1,3,2,5,-1]]],[[[2,2,1,1,2,1,1,
1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,1,3,2,5,2]],[[2,2,1,1,2,1,1,1,
2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[5,1,3,2,5,-1,3,-2]],[[2,2,1,1,2,1,1,1,
2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[5,1,3,2,5,2,3,1]]],[[[2,2,1,1,2,1,1,1,
2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,1,3,2,5,2]],[[2,2,1,1,2,1,1,1,2,
1,1,2],[3,-3]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[5,1,
3,2,5,2,3,1]]],[[[1,1,2,1],[2,2,1,1,3,2,1,-3]],[[2,1,1,-1,2,-1,1,-2,2,-1,1,1,
2,-2,1,-1]]],[[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[5,1,3,
2,5,2,3,1]],[[2,2,1,1,2,1,1,1,2,1,1,2],[3,2],[4,-3]],[[2,2,1,1,2,1,1,1,2,1,1,
2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,-3,3,-1]],[[2,2,1,1,2,1,1,1,2,1,1,2],[
1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,1,3,2,5,-1]]],[[[2,2,1,1,2,1,1,1,2,1,1,
2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[5,1,3,2,5,2,3,1]],[[1,2],[3,1,2,-2,3,1,2,1,
1,-1],[4,1,1,-2,2,-1,1,-1,2,-1,1,-1,2,-2,4,1]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,
2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,1,3,1,5,-2]]],[[[1,2,2,1,1,1,2,3],[2,1,1,-2,
2,1,1,-1,2,1],[4,1,3,1,4,-1,3,-3,4,1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[
4,1,3,-1,4,2,3,1,4,-1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,1,4,1,3,1,4,
1]]],[[[1,2,2,1,1,1,2,3],[2,1,1,-2,2,1,1,-1,2,1],[3,-3,4,-1,3,-1,4,1,3,-1,4,
-1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,1,4,1,3,1,4,1]],[[1,2,2,1,1,1,2,
3],[1,1,2,2,1,2,2,-2],[3,2],[5,1,4,1,5,-1,4,1,3,1,5,1]]],[[[2,2,1,1,2,1,1,1,2,
1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,1,3,2,5,2]],[[2,2,1,1,2,1,1,1,2,1,
1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[5,1,3,2,5,-1,3,-2]],[[2,2,1,1,2,1,1,1,2,1,
1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[5,1,3,-1,5,1,3,3]]],[[[2,2,1,1,2,1,1,1,2,
1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[5,1,3,2,5,2,3,1]],[[1,2],[3,1,2,-2,3,1,
2,1,1,-1],[4,2,2,2,1,1,2,1,1,1,2,1,1,2,4,-1]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,
2],[4,1,2,-2,4,1,2,1,1,-1],[3,2,5,-1,3,-1,5,-1]]],[[[1,1,2,1],[2,2,1,1,3,-1,2,
1,3,1,1,2]],[[1,2],[2,2],[3,1,4,-2,3,-1]],[[1,2],[2,2,3,-1,1,1,2,-1,3,1,2,-1,
1,-1]]],[[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[5,1,3,2,5,
2,3,1]],[[1,2],[3,1,2,-2,3,1,2,1,1,-1],[4,1,1,-2,2,-1,1,-1,2,-1,1,-1,2,-2,4,
-2]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,1,3,1,5,
-2]]],[[[1,1,2,1],[2,2,1,2,3,-2,2,1,1,-1]],[[1,2],[2,2,1,1],[3,1,4,1,3,1,4,
1]],[[1,2],[2,1,3,1],[1,1,2,1,4,-1,3,1,4,1]]],[[[2,2,1,1,2,1,1,1,2,1,1,2],[1,
2],[4,1,2,-2,4,1,2,1,1,-1],[5,2,3,1,5,-1,3,-3]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,
2],[4,1,2,-2,4,1,2,1,1,-1],[5,1,3,1,5,1,3,1]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,
2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,-1],[6,2,3,2]],[[2,2,1,1,2,1,1,1,2,1,1,2],[
3,2],[4,-3]]],[[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,2],[5,1,4,-1,5,1,3,1,
4,2]],[[1,2,2,1,1,1,2,3],[2,1,1,-2,2,1,1,-1,2,1],[4,1,3,-1,4,-1,3,1,4,1]],[[1,
2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,2],[4,1,5,-1,4,1,5,1]]],[[[2,2,1,1,2,1,1,
1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[5,1,3,2,5,1,3,-1,5,-1]],[[2,2,1,1,2,
1,1,1,2,1,1,2],[3,-3]],[[1,2],[3,1,2,-2,3,1,2,1,1,-1],[4,2,2,2,1,1,2,1,1,1,2,
1,1,2,4,-1]]],[[[1,2],[2,2,1,2,2,1,3,1,2,1,3,1]],[[2,1,1,1],[2,1,3,-2,2,-2,1,
-1]]],[[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,-1,3,2,
5,-2]],[[2,2,1,1,2,1,1,1,2,1,1,2],[3,2],[4,-3]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,
2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,-3,3,-1]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[
4,1,2,-2,4,1,2,1,1,-1],[3,2,5,-1,3,-1,5,-1]]],[[[1,2],[1,1,2,1],[4,1,3,1,2,2,
1,1,2,-1,3,-1,4,1]],[[2,1,1,-1,2,2,1,-3,2,1]],[[1,1,2,1],[1,2,2,1,3,2,1,
-1]]],[[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,-1,3,2,
5,-2]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,2,5,-1,3,
-1,5,-1]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,-3,
3,-1]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,1,3,2,
5,-1]]],[[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,-1,3,
2,5,-2]],[[1,2],[3,1,2,-2,3,1,2,1,1,-1],[4,1,1,-2,2,-1,1,-1,2,-1,1,-1,2,-2,4,
1]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[5,1,3,1,5,-2,3,
-2]]],[[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,-1],[6,
1,3,2,6,1]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[5,1,3,1,
5,1,3,1]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,
-1],[3,2,6,2]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,
5,1,3,1,5,-2]]],[[[1,1,2,1],[2,1,1,-1,2,1,3,2,1,2,2,-1]],[[1,2],[1,1,2,1],[4,
1,2,1,4,1,3,-1,2,1]],[[1,1,2,1],[2,2,3,2,1,1,2,-1]]],[[[2,2,1,1,2,1,1,1,2,1,1,
2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,-1],[6,2,3,2]],[[1,2],[3,1,2,-2,3,1,2,
1,1,-1],[4,1,1,-2,2,-1,1,-1,2,-1,1,-1,2,-2,4,1]],[[2,2,1,1,2,1,1,1,2,1,1,2],[
1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,-3,3,2]]],[[[1,2],[1,1,2,1],[2,1,1,1],[4,
1,3,1,5,2,3,1,4,-1]],[[2,2,1,-1,2,2,1,2,2,1]]],[[[2,2,1,1,2,1,1,1,2,1,1,2],[1,
2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,-1,3,2,5,-2]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,
2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,1,3,1,5,-2]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,
2],[4,1,2,-2,4,1,2,1,1,-1],[3,2,5,-1,3,-1,5,-1]]],[[[2,2,1,1,2,1,1,1,2,1,1,
2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,-1,3,2,5,-2]],[[2,2,1,1,2,1,1,1,2,1,1,
2],[3,-3]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,-3,
3,-1]]],[[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,-1,3,
2,5,-2]],[[1,2],[3,1,2,-2,3,1,2,1,1,-1],[4,1,1,-2,2,-1,1,-1,2,-1,1,-1,2,-2,4,
1]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,-3,3,
2]]],[[[2,1,1,1,2,-1,1,-3,2,2,1,-1,2,1]],[[1,2],[2,1,3,1],[3,1,4,1,1,1,2,1,4,
-1]],[[1,1,2,1],[2,1,1,-1,2,1,3,2,1,2,2,-1]]],[[[1,2],[3,1,1,1,2,-1,1,-1,2,-1,
3,-1]],[[1,1,2,-1,1,1,2,-1,1,1,2,-1]],[[1,2],[2,1,1,1,2,1,3,1,2,-1,3,1]]],[[[
1,2,2,1,1,1,2,3],[2,1,1,-2,2,1,1,-1,2,1],[4,1,3,1,4,-1,3,-3,4,1]],[[1,2,2,1,1,
1,2,3],[1,1,2,2,1,2,2,-2],[3,2],[5,1,4,-1,5,1,4,-1,5,-1]],[[1,2,2,1,1,1,2,3],[
1,1,2,2,1,2,2,-2],[3,2],[4,1,5,-1,4,1,5,1]]],[[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,
2,-2],[3,1,4,-1,3,1,4,2,3,-1,4,-1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,
1,4,-1,3,-1,4,1]],[[2,1,1,-2,2,1,1,-1,2,1],[1,2,2,1,1,1,2,3,3,-1],[3,1,4,
-2]]],[[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,2],[4,1,3,1,5,1,4,1,5,-1]],[[
1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,1,4,-1,3,-1,4,1]],[[2,1,1,-2,2,1,1,-1,
2,1],[1,2,2,1,1,1,2,3,3,-1],[3,1,4,-2]]],[[[1,1,2,1],[2,2,1,2,3,-1,2,1,1,1,2,
-1,3,1]],[[1,2],[1,1,2,1],[2,1,3,1,4,2,3,1,1,1]],[[1,2],[1,1,2,1,3,-1,2,-2,3,
1,2,2,1,-1]]],[[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,2],[5,1,3,1,4,-1,5,1,
4,1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,1,4,-1,3,-1,4,1]],[[2,1,1,-2,2,
1,1,-1,2,1],[1,2,2,1,1,1,2,3,3,-1],[3,1,4,-2]]],[[[1,2,2,1,1,1,2,3],[2,1,1,-2,
2,1,1,-1,2,1],[3,1,4,1],[4,1,3,-3,5,-2]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,
-2],[4,1,3,-3,4,-1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,1,4,1],[4,2,3,1,
5,-1,3,2,5,-1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,2],[5,1,4,1,5,-1,4,1,
3,1,5,1]]],[[[1,2,2,1,1,1,2,3],[2,1,1,-2,2,1,1,-1,2,1],[4,1,3,1],[4,1,5,1,4,
-1,3,-1,5,1,4,-1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,1,4,-4,3,-1]],[[1,
2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,1,4,1],[4,2,3,1,5,-1,3,2,5,1]]],[[[1,2,2,
1,1,1,2,3],[2,1,1,-2,2,1,1,-1,2,1],[4,1,3,1],[5,1,4,-1,3,-1,5,1]],[[1,2,2,1,1,
1,2,3],[1,1,2,2,1,2,2,-2],[4,1,3,-2,4,1,3,1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,
2,-2],[4,1,3,-1,4,-1,3,-1,4,2]]],[[[1,2,2,1,1,1,2,3],[2,1,1,-2,2,1,1,-1,2,1],[
3,1,4,1],[3,2,5,2,3,1,4,-1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[4,1,3,-2,
4,1,3,1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,2],[5,1,4,1,5,-1,4,1,3,1,5,
1]]],[[[1,2,2,1,1,1,2,3],[2,1,1,-2,2,1,1,-1,2,1],[4,1,3,1],[4,1,5,1,4,1,5,-1,
3,1,4,1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,1,4,1,3,-1,4,-2,3,1,4,
-1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,1,4,-4,3,-1]]],[[[1,2,2,1,1,1,2,
3],[2,1,1,-2,2,1,1,-1,2,1],[4,1,3,1],[4,1,5,1,4,-1,3,-1,5,1,4,-1]],[[1,2,2,1,
1,1,2,3],[1,1,2,2,1,2,2,-2],[4,1,3,-3,4,-1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,
2,-2],[3,1,4,1],[4,2,3,1,5,-1,3,2,5,-1]]],[[[1,2],[1,1,2,1],[1,1,2,-1,3,-1,4,
2,3,1,2,2]],[[1,2],[1,1,2,1,3,1,2,-2,3,-1,2,-1,1,1,2,-1]]],[[[2,1,1,1],[3,1,2,
-1,1,-2,2,1,3,1]],[[1,1,2,-2,1,-2,2,1,1,1]],[[1,1,2,-1,1,-3,2,1,1,-1]]],[[[1,
2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,2],[4,1,3,1,5,1,4,1,5,-1]],[[1,2,2,1,1,1,
2,3],[3,1,2,1,1,-2,2,1,1,-1,2,1,3,1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[
4,2,3,-1,4,1,3,1,4,1]]],[[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,1,4,2,3,-1,
4,2,3,1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[4,2,3,-1,4,1,3,1,4,1]],[[1,2,
2,1,1,1,2,3],[3,1,2,1,1,-2,2,1,1,-1,2,1,3,1]]],[[[1,2,2,1,1,1,2,3],[1,1,2,2,1,
2,2,-2],[3,2],[5,1,3,1,4,-1,5,1,4,1]],[[1,2,2,1,1,1,2,3],[3,1,2,1,1,-2,2,1,1,
-1,2,1,3,1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[4,2,3,-1,4,1,3,1,4,
1]]],[[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,-1],[6,
2,3,2]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[5,1,3,1,5,1,
3,1]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,-3,3,
-1]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,1,3,1,5,
-2]]],[[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,2,3,-3,
5,-1]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[5,-3,3,
-3]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[5,1,3,1,5,1,3,
1]]],[[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,-1],[6,
1,3,2,6,1]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[5,1,3,1,
5,1,3,1]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[5,1,3,-1,
5,1,3,3]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,-3,
3,-1]]],[[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,2],[6,1,
5,1,3,-1,5,1,6,-1]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[
3,1,5,1,3,2,5,-1]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[
5,1,3,1,5,-2,3,-2]]],[[[1,2],[2,1,3,1],[1,1,2,1,4,-1,3,1,4,1]],[[2,3,1,-2,2,1,
1,-1,2,-1]],[[1,2],[2,2,1,1],[3,1,4,1,3,1,4,1]]],[[[2,2,1,1,2,1,1,1,2,1,1,2],[
1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,2,3,1,5,-1,3,2]],[[2,2,1,1,2,1,1,1,2,1,1,
2],[3,-3]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[5,1,3,1,
5,-2,3,-2]]],[[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[5,1,3,
2,5,1,3,-1,5,-1]],[[1,2],[3,1,2,-2,3,1,2,1,1,-1],[4,1,1,-2,2,-1,1,-1,2,-1,1,
-1,2,-2,4,1]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,
-3,3,-1]]],[[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[4,1,3,-3,4,-1]],[[1,1,2,2,
1,2,2,-2],[3,2,2,-3,1,-1,2,-1,1,-2,3,1]],[[1,1,2,2,1,2,2,-2],[3,1,2,1,1,-2,2,
1,1,-1,2,1,3,-2]]],[[[1,2,2,1,1,1,2,3],[2,1,1,-2,2,1,1,-1,2,1],[4,1,3,1,4,-1,
3,-3,4,1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,1,4,1,3,1,4,1]],[[1,2,2,1,
1,1,2,3],[1,1,2,2,1,2,2,-2],[3,2],[4,1,5,-1,4,1,5,1]],[[1,2,2,1,1,1,2,3],[1,1,
2,2,1,2,2,-2],[4,1,3,-1,4,-1,3,-1,4,2]]],[[[1,1,2,1],[1,2,2,2],[3,1,4,1,3,1,4,
1]],[[1,1,2,1],[3,-2,1,2]],[[1,2],[1,1,2,1],[4,1,3,-1,4,-2,3,-1]]],[[[1,2],[1,
1,2,1],[3,-1,4,1,2,1,1,1,3,1,4,1]],[[1,2],[3,1,2,-1,3,1,2,-3]],[[2,2],[3,1,1,
-2,3,1,1,1,2,1]]],[[[1,2,2,1,1,1,2,3],[2,1,1,-2,2,1,1,-1,2,1],[3,2,4,-1,3,-1,
4,1,3,-1,4,-1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,2],[4,1,5,-1,4,1,5,
1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[4,1,3,1,4,1],[3,2,5,2]]],[[[1,2,2,
1,1,1,2,3],[2,1,1,-2,2,1,1,-1,2,1],[4,1,3,1,4,1,3,1,4,1,3,-2]],[[1,2,2,1,1,1,
2,3],[1,1,2,2,1,2,2,-2],[4,1,3,-1,4,2,3,1,4,-1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,
1,2,2,-2],[3,2],[5,1,4,-2,5,1,4,1,3,-1]]],[[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,
-2],[3,1,4,1,3,1,4,-1,3,-2]],[[1,2,2,1,1,1,2,3],[3,1,2,1,1,-2,2,1,1,-1,2,1,3,
1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[4,1,3,-3,4,-1]],[[1,2,2,1,1,1,2,
3],[1,1,2,2,1,2,2,-2],[3,1,4,-1,3,-1,4,1]]],[[[1,2],[1,1,2,1,3,-1,2,-2,3,1,2,
2,1,-1]],[[1,1,2,1],[3,1,2,1,1,-3,2,-1,3,-1]],[[1,2],[2,1,3,1],[3,1,4,1,1,1,2,
1,4,-1]]],[[[1,1,2,1],[3,1,2,2,1,-3,2,-2,3,-1]],[[1,2],[2,1,1,-1,2,1,3,1,2,-1,
1,-1,3,-1,2,1,1,-1]],[[2,1,1,1,2,-1,1,1,2,1,1,2,2,2,1,-1]]],[[[1,1,2,1],[3,2,
2,1,3,1,1,2,2,2]],[[1,2],[1,1,2,1,3,1,2,-1,3,1,2,1]],[[1,2],[1,1,2,1],[3,1,4,
-3,3,-1]]],[[[1,1,2,1],[2,1,3,1,1,-2,2,-2,3,-1]],[[1,2],[2,2,1,1],[3,1,4,1,3,
1,4,1]],[[1,2],[2,1,3,1],[1,1,2,1,4,-1,3,1,4,1]]],[[[1,2],[1,1,2,1,3,-1,1,-1,
2,-1,3,1,2,-2]],[[1,2,2,2,1,1]],[[1,2],[2,1,3,1],[1,1,2,1,4,-1,3,1,4,1]]],[[[
1,2],[2,1,3,1],[1,1,2,1,4,-1,3,1,4,1]],[[2,1,1,1,2,1,1,2,2,2]]],[[[1,2,2,1,1,
1,2,3],[1,1,2,2,1,2,2,-2],[3,2],[4,1,5,-1,4,1,5,1]],[[1,2,2,1,1,1,2,3],[1,1,2,
2,1,2,2,-2],[3,1,4,1,3,1,4,1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[4,1,3,
-1,4,-1,3,-1,4,2]],[[1,1,2,2,1,2,2,-2],[1,2,2,1,1,1,2,3,3,-3]]],[[[1,2],[1,1,
2,-2],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[1,1,2,-1,3,1,2,2,3,1]]],[[[2,2,1,1,2,1,1,
1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,-1],[3,2,6,2]],[[2,2,1,1,2,1,
1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[5,1,3,1,5,1,3,1]],[[2,2,1,1,2,1,1,
1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[5,1,3,3,5,1,3,-1]],[[2,2,1,1,2,1,1,
1,2,1,1,2],[3,2],[4,-3]]],[[[1,2,2,1,1,1,2,3],[2,1,1,-2,2,1,1,-1,2,1],[3,2,4,
1,3,1,4,-1,3,1,4,1]],[[1,1,2,2,1,2,2,-2],[1,2,2,1,1,1,2,3,3,-3]],[[1,2,2,1,1,
1,2,3],[1,1,2,2,1,2,2,-2],[4,1,3,2,4,-1,3,-1,4,1,3,-1,4,-1]]],[[[2,1,1,2,2,-1,
1,1,2,-1],[3,-3,2,1,1,-1,2,-1,1,2,2,-1,1,-1,2,-1,3,-1]],[[2,1,1,-1,2,-1,1,2,2,
-1,1,-1,2,-1],[2,1,1,2,2,-1,1,1,2,-1],[3,1,4,-1,3,-1,4,1]],[[2,1,1,-1,2,-1,1,
2,2,-1,1,-1,2,-1],[2,1,1,2,2,-1,1,1,2,-1],[4,1,3,-1,4,1,3,2]]],[[[2,2,1,1,2,1,
1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,-1],[6,2,3,2]],[[2,2,1,1,2,
1,1,1,2,1,1,2],[3,-3]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,
-1],[3,2,5,-1,3,-1,5,-1]]],[[[1,2,2,1,1,1,2,3],[3,2],[4,-1,1,1,2,2,1,2,2,-2,4,
1,3,1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[4,2,3,-1,4,-1,3,-2]],[[1,2,2,1,
1,1,2,3],[1,1,2,2,1,2,2,-2],[4,2,3,1,4,-1,3,1,4,-1]]],[[[1,1,2,1],[3,1,1,1,2,
-1,1,2,2,-2,3,-1]],[[1,1,2,1],[2,2,3,2,1,2,3,-1]],[[1,1,2,1],[1,2,2,2],[4,1,3,
1,4,1,3,1]]],[[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,
-1],[6,2,3,2]],[[1,2],[3,1,2,-2,3,1,2,1,1,-1],[4,1,1,-2,2,-1,1,-1,2,-1,1,-1,2,
-2,4,1]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,1,3,
2,5,-1]]],[[[1,1,2,1],[2,2,1,1,3,-1,2,1,3,1,1,2]],[[1,1,2,1],[2,2,3,2,1,1,2,
-1]],[[1,1,2,1],[1,2,2,2],[4,1,3,1,4,1,3,1]],[[1,2],[1,1,2,-2],[4,1,3,1,4,1,3,
1]]],[[[1,2],[1,1,2,1],[2,1,1,1],[4,1,5,1,3,1,4,1,3,1,5,1]],[[1,1,2,1],[1,2,2,
2],[4,1,3,1,4,1,3,1]]],[[[1,1,2,1],[2,2,1,1,3,-1,2,1,3,1,1,2]],[[1,1,2,1],[2,
1,3,2,1,1]],[[1,1,2,1],[2,2,3,2,1,1,2,-1]]],[[[1,2],[1,1,2,1],[1,1,2,-1,3,-1,
4,2,3,1,2,2]],[[1,1,2,1],[3,1,1,1,2,1,3,1]],[[1,2],[3,1,1,1,2,-4,1,1,3,
1]]],[[[1,2],[1,1,2,1],[4,2,3,-1,4,1,3,1,4,1]],[[1,1,2,1],[3,1,2,1,1,2,3,1,2,
1,1,-1,2,1]]],[[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,
5,-1],[3,2,6,2]],[[1,2],[3,1,2,-2,3,1,2,1,1,-1],[4,1,1,-2,2,-1,1,-1,2,-1,1,-1,
2,-2,4,-2]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[5,1,3,3,
5,1,3,-1]]],[[[1,2],[3,1,2,1,3,-1,2,2,1,2,2,1],[1,1,2,1],[5,1,1,-1,2,-1,1,1,2,
-1,5,1],[4,1,6,1,4,-1,6,-2]],[[1,2],[1,1,2,1,3,1,2,1,3,1,2,2,1,1],[1,1,2,-1,1,
1,2,-1,1,1,2,-1,4,1]]],[[[1,2],[1,1,2,2,3,-1,2,1,3,-1]],[[1,1,2,1],[2,1,1,1],[
4,1,3,1,4,-1,3,-1]]],[[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,
-1],[5,1,3,2,5,1,3,-1,5,-1]],[[1,2],[3,1,2,-2,3,1,2,1,1,-1],[4,2,2,2,1,1,2,1,
1,1,2,1,1,2,4,-1]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[
3,2,5,-1,3,-1,5,-1]]],[[[1,2],[1,1,2,1],[1,1,2,-1,3,-1,4,-1,2,2,3,1,4,-1]],[[
1,2],[1,1,2,1],[4,1,1,1,2,-1,3,-1,4,-1,3,-1,2,-2]]],[[[1,2],[1,1,2,1],[2,2],[
4,1,3,1,5,-1,4,1,3,1,5,1]],[[2,2,1,2,2,1,1,2,2,1,1,-1,2,1]]],[[[2,2,1,1,2,1,1,
1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[5,1,3,2,5,1,3,-1,5,-1]],[[1,2],[3,1,
2,-2,3,1,2,1,1,-1],[4,2,2,2,1,1,2,1,1,1,2,1,1,2,4,-1]],[[2,2,1,1,2,1,1,1,2,1,
1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,1,3,1,5,-2]]],[[[1,2],[1,1,2,1],[3,
1,2,1,4,2,3,1,2,1]],[[1,2],[2,1,3,1],[3,1,4,1,1,1,2,1,4,-1]]],[[[1,2],[1,1,2,
1],[3,1,2,1,4,1,3,1,4,1,2,1]],[[1,1,2,1],[2,2,3,2,1,1,2,-1]]],[[[1,2],[3,1,2,
1,3,-1,2,2,1,2,2,1],[1,2],[1,1,2,1,5,1,2,1,5,1,2,2,1,1],[6,1],[7,1,4,1],[8,1,
7,-1,4,-1,8,1]],[[1,1,2,1],[3,1,1,-1,2,-1,1,1,2,-1,3,1],[4,1],[1,1,2,-1,1,1,2,
-1,1,1,2,-1,5,3]],[[1,2],[3,1,2,1,3,-1,2,2,1,2,2,1],[4,-2]]],[[[1,1,2,1],[2,1,
3,1],[3,1,4,2,1,2]],[[1,2],[3,1,2,1,3,-1,1,-1,2,-2]]],[[[2,2,1,1,2,1,1,1,2,1,
1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,-1],[6,2,3,2]],[[2,2,1,1,2,1,1,1,2,
1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,-3,3,2]],[[2,2,1,1,2,1,1,1,2,1,1,
2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,1,3,1,5,-2]]],[[[2,2,1,1,2,1,1,1,2,1,
1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,-1],[6,2,3,2]],[[2,2,1,1,2,1,1,1,2,
1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[5,-3,3,-3]],[[2,2,1,1,2,1,1,1,2,1,1,2],[
1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,1,3,2,5,-1]]],[[[1,2,2,1,1,1,2,3],[2,1,1,
-2,2,1,1,-1,2,1],[4,1,3,1,4,-1,3,-3,4,1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,
-2],[4,2,3,-1,4,-1,3,-2]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,1,4,1,3,1,
4,1]]],[[[1,2],[3,1,2,1,3,-1,2,2,1,2,2,1],[1,1,2,1],[5,1,1,-1,2,-1,1,1,2,-1,5,
1],[6,1,4,1],[7,1,4,1,6,2,7,1]],[[1,1,2,-1,1,1,2,-1,1,1,2,-1]],[[1,2],[3,1,2,
1,3,-1,2,2,1,2,2,1],[1,1,2,1],[5,1,1,-1,2,-1,1,1,2,-1,5,1],[4,1,6,2]]],[[[2,
2],[3,1,1,1,2,1,3,1,1,-2]],[[1,2],[3,-1,2,-2,1,1,2,-1,3,-1]]],[[[1,2],[3,1,2,
2,1,1,3,1,2,2,1,-1]],[[1,1,2,1],[3,1,1,-1,2,-2,1,-2,2,-1,3,-1]]],[[[2,2,1,1,2,
1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[5,1,3,1,5,-1,3,3,5,1]],[[2,2,1,
1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,2,5,-1,3,-1,5,-1]],[[2,2,
1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,-3,3,-1]]],[[[1,2,2,
1,1,1,2,3],[2,1,1,-2,2,1,1,-1,2,1],[4,1,3,1],[5,1,3,2,4,1,5,-1]],[[1,2,2,1,1,
1,2,3,1,1,2,2,1,2,2,-2]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[4,1,3,2,4,-1,
3,-1,4,1,3,-1,4,-1]]],[[[1,2,2,1,1,1,2,3],[3,2],[4,-1,1,1,2,2,1,2,2,-2,4,1,3,
1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[4,1,3,1,4,1,3,1]],[[1,2,2,1,1,1,2,
3],[1,1,2,2,1,2,2,-2],[4,2,3,1,4,-1,3,1,4,-1]]],[[[1,2,2,1,1,1,2,3],[1,1,2,2,
1,2,2,-2],[4,1,3,1,4,1],[5,1,3,2,5,1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[
3,2],[4,1,5,-1,4,1,5,1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[4,2,3,-1,4,-1,
3,-2]]],[[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,2],[4,1,5,-1,4,1,5,1]],[[1,
2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[4,1,3,-1,4,2,3,1,4,-1]],[[1,2,2,1,1,1,2,
3],[1,1,2,2,1,2,2,-2],[3,1,4,1,3,1,4,1]]],[[[1,2],[3,1,2,1,3,-1,2,2,1,2,2,1],[
1,2],[1,1,2,1,5,1,2,1,5,1,2,2,1,1],[6,1],[7,1,4,1,7,1,4,-1,7,-1,4,-1]],[[1,1,
2,-1,1,1,2,-1,1,1,2,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,1,1,2,-1,3,1],[4,1],[5,1,1,
1,2,-1,1,1,2,-1,1,1,2,-1,5,-1]],[[1,2],[3,1,2,1,3,-1,2,2,1,2,2,1],[1,1,2,-1,1,
1,2,-1,1,1,2,-1,4,-2]]],[[[1,1,2,1],[2,2,1,2],[3,1,4,1,3,-1,4,-1]],[[1,2],[1,
1,2,1],[4,1,3,-1,4,1,3,1,4,2]]],[[[1,2,2,1,1,1,2,3],[2,1,1,-2,2,1,1,-1,2,1],[
4,1,3,1,4,1,3,-1,4,-1,3,-1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,1,4,1,3,
1,4,1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,2],[4,1,5,-1,4,1,5,1]]],[[[1,
2],[2,2,1,1],[3,1,4,1,3,1,4,1]],[[2,2,1,-3,2,-2]],[[1,2],[3,1,2,1,1,1,3,1,2,
-1,3,-1]]],[[[1,1,2,1],[3,1,1,-1,2,-2,3,-1,1,-2,2,1,1,-1]],[[1,2],[2,2,1,1],[
4,1,3,1,4,1,3,1]]],[[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,2],[5,1,3,1,4,-1,
5,1,4,1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,1,4,3,3,-2]],[[1,2,2,1,1,1,
2,3],[1,1,2,2,1,2,2,-2],[3,1,4,-1,3,-1,4,1]]],[[[1,1,2,1],[3,1,1,-2,2,-1,1,-1,
2,-2,3,-1]],[[1,1,2,1],[2,1,1,2],[4,1,3,1,4,1,3,1]]],[[[1,2,2,1,1,1,2,3],[2,1,
1,-2,2,1,1,-1,2,1],[3,2,4,-1,3,1,4,-1,3,1,4,-1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,
1,2,2,-2],[3,1,4,1,3,1,4,1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,2],[5,1,
4,-2,5,1,4,1,3,-1]]],[[[1,1,2,1],[1,2,2,2],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[1,1,
2,-1,3,1,2,2,3,1]],[[1,1,2,1],[2,2,3,2,1,1,2,-1]]],[[[1,2],[3,1,2,1,3,1,2,-1,
1,-2,2,-2]],[[1,2,2,-1,1,1,2,-1,1,1,2,-1,1,-1]]],[[[1,1,2,1],[1,2,2,2],[3,1,4,
1,3,1,4,1]],[[2,1,1,1],[3,1,2,-1,1,-3,2,1,3,-1]],[[2,2,1,-1,2,2,1,2,2,-1,1,
-1]]],[[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[5,1,3,3,5,1,
3,-1]],[[2,2,1,1,2,1,1,1,2,1,1,2],[3,2],[4,-3]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,
2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,1,3,2,5,-1]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,
2],[4,1,2,-2,4,1,2,1,1,-1],[3,2,5,-1,3,-1,5,-1]]],[[[2,2,1,1,2,1,1,1,2,1,1,
2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[5,1,3,3,5,1,3,-1]],[[2,2,1,1,2,1,1,1,2,1,1,
2],[3,-3]],[[1,2],[3,1,2,-2,3,1,2,1,1,-1],[4,1,1,-2,2,-1,1,-1,2,-1,1,-1,2,-2,
4,1]]],[[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[5,1,3,-1,5,
1,3,3]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[5,1,3,1,5,1,
3,1]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[5,1,3,2,5,-1,
3,-2]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,1,3,1,
5,-2]]],[[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[5,1,3,2,5,
-1,3,-2]],[[1,2],[3,1,2,-2,3,1,2,1,1,-1],[4,1,1,-2,2,-1,1,-1,2,-1,1,-1,2,-2,4,
1]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,2,5,-1,3,-1,5,
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2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[5,1,3,2,5,-1,3,-2]],[[2,2,1,1,2,1,1,1,2,1,1,
2],[3,-3]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,1,
3,2,5,-1]]],[[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[4,2,3,-1,4,-1,3,-2]],[[1,
2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[4,1,3,-1,4,2,3,1,4,-1]],[[1,2,2,1,1,1,2,
3],[1,1,2,2,1,2,2,-2],[3,1,4,1,3,1,4,1]]],[[[1,1,2,1],[2,1,1,2],[4,1,3,1,4,1,
3,1]],[[2,1,1,1,2,1],[3,2,1,-2]]],[[[1,2,2,1,1,1,2,3],[2,1,1,-2,2,1,1,-1,2,
1],[3,2,4,-1,3,-1,4,1,3,-1,4,-1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,1,
4,1,3,1,4,1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,2],[5,1,4,-2,5,1,4,1,3,
-1]]],[[[1,1,2,1],[2,2,1,1,3,-1,2,1,3,1,1,2]],[[1,1,2,1],[1,2,2,1,3,2,1,
-1]],[[1,2],[3,1,2,-1,1,1,2,2,1,1,2,-1,3,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,1,1,
2,-1,3,1],[1,2],[1,1,2,1,5,1,2,1,5,1,2,2,1,1],[4,1],[7,1,6,-1,7,2]],[[1,1,2,
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1]],[[1,1,2,1],[3,1,1,-1,2,-1,1,1,2,-1,3,1],[4,1],[5,1,1,1,2,-1,1,1,2,-1,1,1,
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1,-1,2,-1]],[[1,2],[3,1,2,-1,1,1,2,2,1,1,2,-1,3,1]]],[[[1,2],[3,1,2,-1,3,-1,1,
1,2,2,1,-1,2,-1]],[[1,2],[3,1,2,-1,1,1,2,-1,3,1,2,-1,1,-1,2,-1]]],[[[2,1,1,1,
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1,-1,2,1,3,2,1,2,2,-1]]],[[[1,2],[1,1,2,1],[2,2],[4,1,3,1,5,-1,4,1,3,1,5,
1]],[[1,2],[1,1,2,1],[4,1,3,1,4,-3,3,-1]]],[[[1,1,2,1],[1,2,3,1,2,1,3,1,2,1,3,
1]],[[1,1,2,-4,1,-1]]],[[[1,2,2,1,1,1,2,3],[2,1,1,-2,2,1,1,-1,2,1],[4,1,3,1],[
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1,2,2,1,2,2,-2],[3,1,4,1,3,1,4,1]]],[[[1,1,2,1],[3,1,2,2,1,-3,2,-2,3,-1]],[[1,
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1,2,1],[1,2,2,2],[4,1,3,1,4,1,3,1]],[[1,2],[1,1,2,1],[3,-1,2,-1,3,1,4,
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3,1,1,-2,3,-1]]],[[[1,2,2,2,1,-1,2,1,1,1,2,-1,1,1,2,1]],[[1,2],[1,1,2,1],[2,
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3,-1]],[[1,2],[3,1,2,3,3,-1,2,-2]],[[1,1,2,1],[1,2,2,2],[4,1,3,1,4,1,3,
1]]],[[[1,1,2,1],[2,2,1,2,3,-1,2,1,1,1,2,-1,3,1]],[[1,1,2,1],[3,-3,1,2,3,
1]],[[1,1,2,1],[1,2,2,2],[4,1,3,1,4,1,3,1]]],[[[1,2],[3,1,2,-1,1,1,2,-1,3,1,1,
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1]],[[1,1,2,1,1,2,2,2]],[[1,1,2,1],[2,2,1,1,3,-1,2,1,3,1,1,2]]],[[[1,2],[1,1,
2,1,3,1,2,1,1,-1,2,-2,3,-1]],[[1,1,2,1],[3,1,1,1,2,1,3,1]],[[1,2],[2,2,1,1],[
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4,1,3,-1,4,1]],[[1,2,2,1,1,1,2,3],[2,1,1,-2,2,1,1,-1,2,1],[4,1,3,-1,4,-1,3,1,
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1]]],[[[1,2,2,1,1,1,2,3],[2,1,1,-2,2,1,1,-1,2,1],[4,1,3,1,4,-1,3,-1,4,1,3,
-1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,2],[5,1,4,-1,5,1,4,-1,5,-1]],[[
1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,2],[4,1,5,-1,4,1,5,1]]],[[[1,2,2,1,1,1,
2,3],[1,1,2,2,1,2,2,-2],[4,1,3,-3,4,-1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,
-2],[3,2,4,-2]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,1,4,-1,3,-1,4,
1]]],[[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,1,4,1,3,-1,4,-2,3,1,4,-1]],[[1,
2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,2,4,-2]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,
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1,2,3],[1,1,2,2,1,2,2,-2],[3,1,4,-1,3,-1,4,1]]],[[[1,2,2,1,1,1,2,3],[2,1,1,-2,
2,1,1,-1,2,1],[3,1,4,-1,3,2,4,-2,3,-1]],[[1,2,2,1,1,1,2,3],[3,-3,2,2,1,-2,2,
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-1]]],[[[1,2],[3,1,1,1,2,-1,3,1,2,2,1,1]],[[1,1,2,-1,1,1,2,-1,1,1,2,-1]]],[[[
1,2],[1,1,2,1],[1,1,2,-1,3,-1,4,2,3,1,2,2]],[[1,1,2,1],[3,1,2,2,1,-3,2,-2,3,
-1]],[[1,1,2,1],[2,1,3,2,1,1]]],[[[1,2,2,1,1,1,2,3],[2,1,1,-2,2,1,1,-1,2,1],[
3,2,4,-1,3,1,4,-1,3,1,4,-1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[4,1,3,-1,
4,2,3,1,4,-1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,2],[5,1,4,-2,5,1,4,1,
3,-1]]],[[[1,2],[2,1,3,1],[3,1,4,1,1,1,2,1,4,-1]],[[2,2,1,-1],[1,2,3,2,1,1,2,
1]],[[1,1,2,1],[3,1,2,1,1,-3,2,-1,3,-1]]],[[[1,2,2,1,1,1,2,3],[2,1,1,-2,2,1,1,
-1,2,1],[3,1,4,-1,3,1,4,-2]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[4,1,3,-3,
4,-1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,1,4,-4,3,-1]]],[[[1,2,2,1,1,1,
2,3],[1,1,2,2,1,2,2,-2],[3,1,4,1,3,-1,4,-2,3,1,4,-1]],[[1,2,2,1,1,1,2,3],[1,1,
2,2,1,2,2,-2],[3,1,4,-4,3,-1]],[[2,1,1,-2,2,1,1,-1,2,1],[1,2,2,1,1,1,2,3,3,
-1],[3,1,4,-2]]],[[[1,2],[1,1,2,1],[2,1,4,1,3,1,2,2,3,1,4,-1]],[[1,1,2,1],[3,
1,1,-2,3,-1,2,1,1,-1,2,1]],[[1,2],[1,1,2,1,3,1,2,-2,3,-1,2,-1,1,1,2,-1]]],[[[
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1,1,2,3],[1,1,2,2,1,2,2,-2],[4,2,3,-1,4,1,3,1,4,1]],[[1,2,2,1,1,1,2,3],[1,1,2,
2,1,2,2,-2],[3,2],[4,1,3,1,5,1,4,1,5,-1]]],[[[1,2,2,1,1,1,2,3],[2,1,1,-2,2,1,
1,-1,2,1],[4,1,3,1],[4,1,5,1,4,-1,3,-1,5,1,4,-1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,
1,2,2,-2],[4,2,3,-1,4,1,3,1,4,1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,1,
4,1],[4,2,3,1,5,-1,3,2,5,-1]]],[[[1,2,2,1,1,1,2,3],[2,1,1,-2,2,1,1,-1,2,1],[4,
1,3,1],[3,1,4,1,3,-2,5,-2]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[4,1,3,-3,4,
-1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,1,4,1],[3,2,5,1,4,1,3,-1,4,-1,5,
1]]],[[[2,2,1,2,2,1,1,1,2,-2,1,-2]],[[1,2],[3,1,2,1,1,2,2,1,3,1,2,-1]]],[[[1,
2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,2],[5,1,4,-2,5,1,4,1,3,-1]],[[1,2,2,1,1,
1,2,3],[2,1,1,-2,2,1,1,-1,2,1],[4,1,3,1,4,-1,3,-1,4,1,3,-1]],[[1,2,2,1,1,1,2,
3],[1,1,2,2,1,2,2,-2],[3,2],[5,1,4,-1,5,1,4,-1,5,-1]]],[[[1,1,2,1],[3,1,1,2,3,
1,2,2,1,1,3,1]],[[1,2],[1,1,2,-1,3,-1,2,1,1,-1,2,-1,3,-1]]],[[[2,2,1,-3,2,
-2]],[[1,1,2,-4,1,-1]]],[[[1,2],[3,1,1,1,2,-4,1,1,3,1]],[[1,2],[2,2,3,1,2,-1,
3,-1,2,-1,1,-1]]],[[[1,2],[1,1,2,1],[4,1,3,1,2,2,1,1,2,-1,3,-1,4,1]],[[1,2],[
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1,1,2,1,3,1,2,1]]],[[[1,1,2,1],[2,2,1,1,3,-1,2,1,3,1,1,2]],[[1,1,2,1],[3,1,2,
1,1,-3,2,-1,3,-1]]],[[[1,1,2,1],[3,1,1,-1,2,-2,1,1,2,-1,3,1]],[[2,1,1,1],[3,1,
1,-3,2,2,3,-1]]],[[[1,1,2,1],[1,2,2,-1,3,2,1,-1,2,-2]],[[1,2],[3,1,2,1,1,1,2,
1,1,1,2,-2,3,-1]]],[[[1,1,2,2,1,-1,2,-1,1,1,2,-2,1,2]],[[1,2],[2,1,1,1],[4,1,
2,-1,3,-1,2,1,4,-1,3,1]]],[[[1,2],[2,1,1,1],[4,1,2,-1,3,-1,2,1,4,-1,3,1]],[[1,
2],[2,-1,1,1,2,1,3,1,2,1]]],[[[1,2],[3,1,2,-2,3,-1,2,-1,1,-1],[1,2],[5,-1,2,1,
1,1,2,-2],[6,1,4,1,6,2,4,-1,6,1]],[[1,2],[3,1,2,-2,3,-1,2,-1,1,-1],[4,-3]],[[
1,2],[3,1,2,-2,3,-1,2,-1,1,-1],[1,2],[5,-1,2,1,1,1,2,-2],[6,1,4,-2,6,1,4,
1]]],[[[1,2],[2,1,1,-1,2,-1],[3,1,4,1,3,1,4,-1]],[[1,-1,2,1,1,1,2,-1,1,
2]]],[[[1,2],[3,-1,2,1,1,1,2,2,3,1]],[[2,1,1,1,2,2,1,-2]]],[[[1,2],[2,2],[3,1,
4,-2,3,-1],[2,1,1,1,2,2,1,-1,2,-1],[5,1,6,1],[6,1,7,3,6,1,5,1,6,-1]],[[1,2],[
2,2],[3,1,4,-2,3,-1],[2,1,1,1,2,2,1,-1,2,-1],[5,1,6,1],[6,-2,7,3,5,1,6,-1]],[[
1,2],[2,2],[3,1,4,-2,3,-1]]],[[[1,1,2,1],[3,1,1,2,2,1,3,1]],[[2,1,1,-2,2,
-1]]],[[[1,2],[1,1,2,1],[3,1,4,1,3,1,4,1]],[[2,1,1,1,2,3,1,-2]]],[[[1,2],[1,1,
2,1],[3,1,4,-3,1,-1,2,-1,3,-1]],[[1,2],[2,1,1,1],[2,1,4,-1,3,-1,4,1,2,-1,3,
1]]],[[[1,2],[1,1,2,1],[2,2,3,1,4,-1,1,1,2,-1,3,1,4,1]],[[1,2],[2,1,1,1],[4,1,
2,-1,3,-1,2,1,4,-1,3,1]]],[[[1,1,2,1],[3,1,2,1,1,2,2,1,1,-1,2,-1,3,1]],[[1,
2],[3,1,2,1,1,1,2,-1,3,1,2,-1,1,1,2,1]]],[[[1,2],[2,1,3,-1,2,-1,1,-1,3,1,2,1,
3,1]],[[1,1,2,1],[3,1,2,1,3,1,1,1,3,-1]]],[[[1,1,2,1],[1,2,2,2],[4,1,3,1,4,1,
3,1]],[[1,1,2,1],[3,1,2,2,1,1,3,2,2,1]]],[[[1,2],[1,1,2,1],[4,1,3,1,2,2,1,1,2,
-1,3,-1,4,1]],[[2,2,1,-1,2,-1,1,1,2,-1,1,-2]],[[1,2],[2,1,1,1,2,-2,1,1,2,
1]]],[[[2,1,1,2,2,1,1,-1,2,-1,1,1,2,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,2]]],[[[1,
2],[1,1,2,1],[1,1,2,-1,3,1,4,-1,3,1,2,1,1,1,4,1]],[[1,2],[2,1,1,1],[4,1,2,-1,
3,-1,2,1,4,-1,3,1]],[[1,1,2,1],[3,2,2,3,1,-1,3,-1]]],[[[1,1,2,-2,1,2,2,1,1,-1,
2,1]],[[1,2,2,1,1,-1,2,-1,1,1,2,1,1,1]]],[[[1,1,2,1],[1,2,2,1,3,2,2,1,1,-1,2,
-1]],[[1,1,2,2,1,2,2,1,1,-1,2,-1]]],[[[1,1,2,-1,1,2,2,2],[1,-1,2,1,1,2],[3,1,
4,-1,3,-1,4,-1,3,-2]],[[1,1,2,-1,1,2,2,2],[1,-1,2,1,1,2],[3,1,4,1,3,1,4,1]],[[
1,1,2,-1,1,2,2,2],[1,-1,2,1,1,2],[4,1,3,1,4,1,3,1]]],[[[1,2],[1,1,2,1],[2,1,1,
1],[5,1,3,1,4,1,5,-1,3,-1,4,-1]],[[1,2],[2,1,1,1],[4,1,2,-1,3,-1,2,1,4,-1,3,
1]],[[1,2],[1,1,2,1],[2,1,1,1],[3,1,5,1,4,2,3,-1,5,-1]]],[[[1,1,2,3,1,2,2,-2,
1,2]],[[1,2],[2,1,1,-1,2,-1],[3,1,4,1,3,-1,4,-1]]],[[[1,2],[2,1,1,1],[4,1,2,
-1,3,-1,2,1,4,-1,3,1]],[[1,1,2,1],[1,2,2,1,3,2,1,-1]]],[[[2,1,1,1],[2,1,3,1,1,
1,2,1,3,1,2,-1,1,-2]],[[2,1,1,-2,2,-1]]],[[[1,2],[1,1,2,1],[4,1,3,-1,2,-1,3,1,
2,1,4,1]],[[1,2],[1,1,2,1],[3,1,4,1,3,1,4,1]],[[1,2],[2,1,1,1],[4,1,2,-1,3,-1,
2,1,4,-1,3,1]]],[[[1,2],[2,1,1,-1,2,-1,3,-1,2,1,3,1,1,1,2,1]],[[1,2],[2,1,1,
1],[4,1,2,-1,3,-1,2,1,4,-1,3,1]],[[1,2],[2,2],[3,1,4,-2,3,-1]]],[[[1,2],[2,1,
1,1,2,1,3,-1,2,-1,1,1,2,-1,3,-1]],[[2,2,1,-1,2,1,1,-1,2,-1,1,1,2,1]]],[[[1,
2],[3,-1,2,1,1,1,2,2]],[[1,1,2,1,1,-1,2,-1,1,-2]]],[[[2,1,1,1,2,2]],[[1,-1,2,
1,1,-1,2,-1]]],[[[1,1,2,1],[2,1,3,1,1,2,2,2,1,1,3,-1]],[[1,2],[1,1,2,1],[4,1,
3,1,4,1,3,1]]],[[[1,1,2,1],[2,2],[3,1,4,1,1,-2,4,-1,3,-1]],[[2,1,1,1],[3,1,2,
-1,1,-2,2,1,3,-1]],[[1,2],[2,2,1,1],[4,1,3,1,4,1,3,1]]],[[[1,2],[3,1,2,2,1,2,
2,-2,3,-1]],[[1,2],[2,-1,1,1,2,1,3,1,2,-1]]],[[[1,2],[1,1,2,1],[2,1,1,1],[3,1,
5,1,4,2,3,-1,5,-1]],[[1,1,2,1],[3,1,2,1,3,1,1,1,3,-1]],[[1,2],[2,1,1,-1,2,-1,
3,-1,2,1,3,1,1,1,2,1]]],[[[2,1,1,1],[3,1,2,-1,1,-2,2,1,3,-1]],[[1,1,2,1],[2,2,
3,1,2,1,3,1]]],[[[1,2],[1,1,2,1,1,-1,2,-2,3,-1,2,1]],[[1,1,2,1],[3,1,1,-1,2,
-1,3,1,1,-1]]],[[[1,1,2,1],[2,1,1,2],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[3,1,1,-2,
3,-1]],[[1,2],[3,1,1,1,2,1,1,-1,2,1,3,1]]],[[[1,1,2,1],[1,-3,2,-2,3,2]],[[2,1,
1,1],[3,1,2,-1,1,-2,2,1,3,-1]]],[[[1,2],[2,1,1,1],[3,1,4,1,3,1,2,1,4,1]],[[1,
1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,1,3,-1]]],[[[1,1,2,-1],[3,1,2,-1,1,-3,2,1,3,
-1]],[[2,1,1,-3,2,-1]],[[1,2],[3,1,2,1,1,1,3,1,2,-1,3,-1]]],[[[1,2],[2,1,1,
1],[3,1,2,1,4,-1,3,-1,2,1,4,-1]],[[1,2],[3,1,2,-1,1,-1,2,1,1,-1,2,-1,3,
-1]]],[[[1,2],[3,-1,2,1,3,1,1,1]],[[1,1,2,-1],[3,1,1,-2,3,-1]]],[[[1,1,2,1],[
2,1,1,1],[3,1,2,1,4,2,2,-1,3,-1]],[[1,2],[2,2,1,1],[3,1,4,1,3,1,4,1]],[[1,1,2,
1],[3,2,2,3,1,-1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,2,1,4,1,3,-1]],[[
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1,1],[2,1,3,-1,1,2,3,1]],[[1,1,2,1,1,1,2,1]]],[[[1,2],[2,2,3,1,1,1,2,2,3,
1]],[[1,2],[2,1,1,1],[3,1,4,1,3,1,4,1]]],[[[1,2],[1,1,2,1],[2,1,1,1,3,1,4,-1,
1,1,2,-1,3,1,4,1]],[[1,2],[3,1,2,1,1,-1,2,1,1,-1,2,-2,3,-1]],[[1,1,2,1],[2,1,
1,2],[4,1,3,1,4,1,3,1]]],[[[1,2],[1,1,2,-1,3,-1,2,-2,1,-1,3,-1],[1,2],[5,1,2,
1,5,-1,2,2,1,-1],[6,1,4,-3,6,-1]],[[1,2],[3,1,2,1,3,-1,2,2,1,-1],[4,2]],[[1,
2],[1,1,2,-1,3,-1,2,-2,1,-1,3,-1],[4,-3]]],[[[1,2],[2,1,1,1,2,1,3,1,2,2,3,
1]],[[1,1,2,1],[3,1,1,-2,3,-1]]],[[[1,2,2,-1,1,1,2,-1,1,1,2,-1,1,-1]],[[1,2],[
3,-1,2,1,3,1,2,-1,3,1]]],[[[2,2,1,-1,2,1,1,-1,2,1,1,-2]],[[1,1,2,-1,1,1,2,
-1]]],[[[1,2],[3,1,2,1,1,1,2,-1,3,1,2,-1,1,1,2,1]],[[1,1,2,1],[2,1,3,-1,2,1,3,
1,1,2]],[[1,1,2,1],[2,2,3,2,1,1,2,-1]]],[[[1,2],[2,1,3,1],[1,1,2,1,4,-1,3,1,4,
1]],[[1,1,2,-1,1,-1,2,-1,1,-2]]],[[[1,2],[3,1,2,1,1,-1,2,-1,3,1,2,-1,3,-1]],[[
1,2,2,-1,1,1,2,-1,1,1,2,-1,1,-1]]],[[[1,2],[1,1,2,1],[4,1,3,-1,2,1,1,-1,4,-1,
1,-1,2,-1,3,-1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1,2,2,1,-1]],[[1,2],[1,1,2,
2],[3,1,4,1,3,1,4,1]]],[[[1,2],[3,1,2,1,1,1,2,-1,3,1,2,-1,1,1,2,1]],[[1,2],[2,
-1,3,1,1,1,2,1]]],[[[1,2],[3,1,2,-1,1,1,2,-1,3,1,2,1,1,1,2,1]],[[1,1,2,1],[3,
1,1,-1,2,-1,3,2,2,1]]],[[[1,2],[2,1,1,-1,2,-1,3,-1,2,-1,1,-1,2,1,3,-1]],[[1,1,
2,1],[2,2,3,2,1,1,2,-1]],[[1,2],[2,1,3,1],[1,1,2,1,4,-1,3,1,4,1]]],[[[1,2],[1,
1,2,1],[4,1,1,-1,2,-1,3,-1,4,-1,2,1,1,-1,3,-1]],[[2,1,1,2,2,1,1,-1,2,-1,1,1,2,
1]],[[1,2],[2,2],[3,1,4,-2,3,-1]]],[[[1,1,2,1],[2,1,1,-1,2,-1,1,2,3,1,2,1,3,
1]],[[1,2],[2,1,3,1],[1,1,2,1,4,-1,3,1,4,1]]],[[[1,2],[3,1,2,1,1,1,2,-1,3,1,2,
-1,3,1]],[[1,2,2,1,1,-1,2,-1,1,1,2,2]]],[[[1,1,2,-2,1,2,2,1,1,-1,2,1]],[[1,
2],[2,1,3,-1,2,-1,1,1,2,1]]],[[[1,2],[1,1,2,-1,3,-1,2,-2,1,-1,3,-1],[2,2,1,1,
2,-1,1,-1],[4,1,5,-3]],[[1,2],[1,1,2,-1,3,-1,2,-2,1,-1,3,-1],[1,2],[5,1,2,1,5,
-1,2,2,1,-1],[4,2,6,2]],[[1,2],[1,1,2,-1,3,-1,2,-2,1,-1,3,-1],[1,2],[5,1,2,1,
5,-1,2,2,1,-1],[4,1,6,1,4,1,6,-1]]],[[[1,2],[1,1,2,1],[2,2],[3,1,5,1,4,1,5,1,
3,-1,4,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,-1,2,1,1,-1]],[[1,2],[1,1,2,1,1,1,2,
-2,3,1,2,-1,3,-1]]],[[[1,2],[3,1,2,1,1,-1,2,-1,3,1,1,1,2,2]],[[1,2],[2,1,1,-1,
2,1,3,-1,2,1,1,1,2,1,3,1]]],[[[1,2],[2,2,1,1,3,1,2,1,1,1,2,1,3,-1]],[[1,2],[2,
2,1,1],[3,1,4,1,3,1,4,1]]],[[[1,2],[2,1,1,-1,2,-1,3,1,1,1,2,2,3,1]],[[1,2],[1,
1,2,-2],[4,1,3,1,4,1,3,1]]],[[[1,2],[1,1,2,1],[1,1,2,-1,3,1,4,1,3,1,4,2]],[[1,
2],[1,1,2,1],[4,1,3,1,2,1,1,1,4,2,3,-1]]],[[[1,2,2,1,1,1,2,2,1,1,2,-1]]],[[[1,
1,2,1],[2,2],[3,1,1,2,4,-1,3,1,4,1]],[[1,2],[1,1,2,2],[3,1,4,1,3,1,4,1]]],[[[
1,2],[3,1,2,1,1,1,2,1,1,-1,2,-2,3,-1]],[[2,1,1,-1,2,2,1,-3,2,1]]],[[[1,1,2,
1],[3,1,2,1,1,2,3,1,2,1,1,-1,2,1]],[[1,2],[3,1,1,1,2,-1,1,1,2,1,3,1]]],[[[1,1,
2,1],[2,1,3,2,1,2,2,1,1,-1,2,-1]],[[2,1,1,2,2,2,1,1]]],[[[1,2],[3,1,2,-1,3,-1,
2,1,1,-1,2,1]],[[1,2],[3,1,1,1,2,1,1,1,2,-1,3,1]]],[[[1,2],[1,1,2,-1,3,-1,2,1,
1,1,3,1]],[[1,2],[2,1,1,1,2,1,3,1,2,-1,3,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,
3,-1,4,-1,3,-1]],[[2,-4]]],[[[1,2],[1,1,2,2],[4,1,3,1,4,1,3,1]],[[2,1,1,1],[3,
1,2,-1,1,-3,2,1,3,-1]]],[[[1,1,2,1],[3,1,2,2,1,1,2,-1,3,-2]],[[1,1,2,1],[2,2,
3,1,1,1,2,-1,3,1]]],[[[1,2],[1,1,2,2],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[3,1,2,1,
1,-2,3,1,2,2]]],[[[1,2],[1,1,2,1,3,1,2,-1,3,1]],[[2,1,1,-3,2,1]]],[[[1,2],[1,
1,2,1],[2,2],[3,1,5,1,4,2,3,1,5,-1]],[[1,1,2,1],[3,1,2,1,1,2,3,1,2,1,1,-1,2,
1]]],[[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[5,1,3,3,5,1,3,
-1]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,2,3,
1]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,2],[6,1,5,-1,
6,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,4,-1,1,-2,3,-1]],[[1,1,2,1],[2,2,1,
1,3,-1,2,1,3,1,1,2]]],[[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,
-1],[3,2,5,-1,3,-1,5,-1]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,
1,-1],[3,-1,5,1,3,-1]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,
-1],[3,2],[6,2,5,1]]],[[[1,1,2,1],[2,1,1,2],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,
1,1,-1,2,-1,3,-1,2,-1,3,-1]]],[[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,
2,1,1,-1],[3,2,5,1,3,1,5,-1]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,
2,1,1,-1],[3,-4,5,-1]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,
-1],[3,1,5,1,3,2,5,-1]]],[[[1,2],[2,1,1,-1,2,1,3,1,1,1,2,2,3,-1]],[[1,2],[3,
-1,2,2,1,-1,2,1]]],[[[2,1,1,-1,2,-1,1,2,2,-1,1,-1,2,-1],[2,1,1,2,2,-1,1,1,2,
-1],[4,1,3,-3,4,1,3,1]],[[2,1,1,-1,2,-1,1,2,2,-1,1,-1,2,-1],[2,1,1,2,2,-1,1,1,
2,-1],[3,1,4,1,3,2,4,1,3,1]],[[2,1,1,-1,2,-1,1,2,2,-1,1,-1,2,-1],[2,1,1,2,2,
-1,1,1,2,-1],[3,1,4,-3,3,-1]],[[2,1,1,-1,2,-1,1,2,2,-1,1,-1,2,-1],[2,1,1,2,2,
-1,1,1,2,-1],[4,1,3,1,4,1,3,-3]]],[[[1,2],[1,1,2,1],[2,1,1,1],[3,1,5,1,4,-1,5,
1,3,1,4,1]],[[1,1,2,1],[3,1,2,1,1,2,3,1,2,1,1,-1,2,1]]],[[[2,2,1,1,2,1,1,1,2,
1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,-3,3,-1]],[[2,2,1,1,2,1,1,1,2,1,1,
2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,2],[5,1,6,2]],[[2,2,1,1,2,1,1,1,2,1,1,2],[
1,2],[4,1,2,-2,4,1,2,1,1,-1],[5,1,3,-2,5,1,3,1]]],[[[2,2,1,1,2,1,1,1,2,1,1,
2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,2],[6,2,5,1]],[[2,2,1,1,2,1,1,1,2,1,1,2],[
1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,-1,5,1,3,-1]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,
2],[4,1,2,-2,4,1,2,1,1,-1],[3,2,5,1,3,1,5,-1]]],[[[2,1,1,-1,2,-1,1,2,2,-1,1,
-1,2,-1],[2,1,1,2,2,-1,1,1,2,-1],[4,1,3,-1,4,1,3,1,4,1]],[[2,1,1,-1,2,-1,1,2,
2,-1,1,-1,2,-1],[3,-2,2,1,1,-1,2,1,1,-2,2,-1]],[[2,1,1,2,2,-1,1,1,2,-1],[3,
-3]]],[[[1,2],[1,1,2,1],[4,1,2,1,3,1,2,1,4,1,3,1]],[[1,1,2,2,1,1,2,-1,1,2,2,1,
1,-1,2,1]]],[[[1,2],[3,1,2,2,1,2,2,1,3,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,
1,4,-1,3,-1]]],[[[2,1,1,-1,2,-1,1,2,2,-1,1,-1,2,-1],[3,1,2,1,1,2,2,-1,1,1,2,
-1],[4,1,3,2,4,1]],[[2,1,1,-1,2,-1,1,2,2,-1,1,-1,2,-1],[2,1,1,2,2,-1,1,1,2,
-1],[3,1,4,-1,3,-1,4,1]],[[2,1,1,-1,2,-1,1,2,2,-1,1,-1,2,-1],[2,1,1,2,2,-1,1,
1,2,-1],[4,1,3,1,4,1,3,-3]]],[[[1,2],[3,1,2,2,1,2,2,1,3,-1,2,-1]],[[1,2],[2,1,
3,1,1,1,2,1,3,1,2,1,3,-1]]],[[[1,1,2,1],[1,2,2,2],[3,1,4,1,3,1,4,1]],[[2,1,1,
-1,2,-1,1,1,2,3,1,-1]],[[1,2],[3,-1,2,-1,1,1,2,-2,3,-1]]],[[[1,2],[1,1,2,2],[
3,1,4,1,3,1,4,1]],[[1,1,2,-2,1,-3,2,-2]]],[[[1,1,2,1],[1,2,2,-1,3,-1,2,1,1,-1,
2,1,3,1]],[[1,1,2,1],[2,2,1,1,3,-1,2,1,3,1,1,2]]],[[[1,1,2,1],[2,1,3,2,2,1,1,
2,3,1]],[[1,2],[2,2,1,1],[3,1,4,1,3,1,4,1]]],[[[1,2],[1,1,2,1],[3,1,2,1,1,1,4,
-1,2,2,3,1,4,1]],[[2,-4]]],[[[1,2],[3,1,2,-1,1,-1,2,-1,3,-1,2,-1,3,-1]],[[1,2,
2,3,1,2,2,1]]],[[[1,2],[1,1,2,-2],[4,1,3,1,4,1,3,1]],[[1,-3,2,-1,1,-1,2,1,1,1,
2,-1]]],[[[1,1,2,1],[1,2,2,2],[4,1,3,1,4,1,3,1]],[[1,2],[2,2,1,1],[4,1,3,1,4,
1,3,1]],[[1,2],[2,1,1,-1,2,-1],[3,1,4,-1,3,1,4,1]]],[[[2,2,1,1,2,1,1,1,2,1,1,
2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,-4,5,-1]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,
2],[4,1,2,-2,4,1,2,1,1,-1],[3,-1,5,1,3,-1]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[
4,1,2,-2,4,1,2,1,1,-1],[3,1,5,2,3,1]]],[[[1,2],[3,1,2,2,1,2,2,1,3,1,2,1]],[[1,
2],[2,1,1,1],[4,1,2,-1,3,1,2,1,4,-1,3,1]]],[[[1,1,2,1],[1,2,2,1,3,2,2,1,1,-1,
2,-1]],[[2,1,1,-1,2,1,1,-1,2,3,1,1]]],[[[1,2],[1,1,2,1],[1,1,2,-1,3,-1,4,2,3,
1,2,2]],[[1,1,2,1],[3,1,2,1,3,1,2,1,1,2,3,-1]],[[1,1,2,1],[2,1,1,-1,2,-1,1,2,
2,1,3,2]]],[[[1,1,2,1],[1,2,2,2,1,-1,2,1,3,2]],[[2,1,1,-1,2,1],[3,2,1,2]]],[[[
2,1,1,-1,2,-1,1,2,2,-1,1,-1,2,-1],[3,1,2,1,1,2,2,-1,1,1,2,-1],[4,1,3,2,4,
1]],[[2,1,1,-1,2,-1,1,2,2,-1,1,-1,2,-1],[2,1,1,2,2,-1,1,1,2,-1],[3,1,4,2,3,1,
4,-1]],[[2,1,1,-1,2,-1,1,2,2,-1,1,-1,2,-1],[2,1,1,2,2,-1,1,1,2,-1],[4,1,3,1,4,
1,3,-3]]],[[[1,2],[1,1,2,2],[4,1,3,1,4,1,3,1]],[[2,3,1,-3]]],[[[1,2],[3,1,1,1,
2,-1,3,-1,2,-1,1,-1]],[[1,2],[2,2],[3,1,4,-2,3,-1]]],[[[1,2],[3,1,2,-1,1,1,2,
2,1,1,2,-1,3,1]],[[1,2],[3,1,2,-1,1,-1,2,-1,3,-1,2,-1,3,-1]]],[[[1,2],[1,1,2,
2,3,1,2,-1,1,1,2,-1,3,-1]],[[1,1,2,1],[2,1,1,2],[4,1,3,1,4,1,3,1]]],[[[1,2],[
2,1,1,1,2,-1,3,-1,2,-1,1,1,2,1]],[[1,2],[3,1,2,-1,3,1,2,-1,1,1,2,-1,3,-1]],[[
1,2],[2,1,1,-1,2,-1],[3,1,4,1,3,-1,4,-1]]],[[[1,2],[3,1,2,1,1,1,2,-1,3,1,2,-1,
1,1,2,1]],[[1,1,2,-2,1,-3,2,3,1,1]]],[[[1,1,2,1],[3,1,1,2,2,1,3,1,1,-1,2,
-2]],[[1,1,2,-2,1,2,2,1,1,-1,2,1]]],[[[1,2],[1,1,2,2],[3,1,4,1,3,1,4,1]],[[2,
1,1,1,2,1,1,-2,2,-1]],[[1,1,2,-1,1,-1,2,-1,1,-2]]],[[[1,1,2,1],[2,1,3,1,1,2,2,
2,1,1,3,-1]],[[1,2],[2,1,1,1],[2,1,4,-1,3,-1,4,1,2,-1,3,1]]],[[[1,2],[1,1,2,
1],[2,1,4,-2,3,1,2,1,3,1]],[[2,2],[3,1,1,-2,2,-1,1,-1,3,-1]],[[2,1,1,1],[3,1,
2,-1,1,-2,2,1,3,-1]]],[[[1,2],[1,1,2,-1,3,-1,2,-2,1,-1,3,-1],[1,2],[5,1,2,1,5,
-1,2,2,1,-1],[6,1,4,-1,6,-1,4,1,6,1]],[[1,2],[1,1,2,-1,3,-1,2,-2,1,-1,3,-1],[
2,2,1,1,2,-1,1,-1],[4,1,5,-3]],[[1,2],[1,1,2,-1,3,-1,2,-2,1,-1,3,-1],[4,
-3]]],[[[1,1,2,-1,1,1,2,-1,1,1,2,-1]],[[2,2,1,-1,2,1]]],[[[1,2],[2,1,1,1],[2,
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1]]],[[[1,1,2,1],[3,1,2,2,1,-3,3,1,2,1]],[[1,2],[2,1,1,-1,2,-1],[3,1,4,1,3,-1,
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-1]]],[[[1,1,2,-1,1,2,2,2],[1,-1,2,1,1,2],[4,1,3,2,4,-1,3,-2]],[[1,-1,2,1,1,
2],[3,-3]],[[1,1,2,-1,1,2,2,2],[3,1,1,-2,2,-1,1,1],[4,2,3,2]]],[[[1,2],[3,1,2,
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1]],[[1,1,2,1],[2,1,3,2,1,1]]],[[[1,2],[1,1,2,2],[4,1,3,1,4,1,3,1]],[[2,2,1,
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1,2,1],[1,2,2,2],[3,1,4,2,3,1]],[[1,1,2,1],[3,2,2,3,1,-1,3,-1]]],[[[1,2],[1,1,
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-1]],[[1,1,2,1],[2,2,3,2,1,1,2,-1]]],[[[1,1,2,1],[2,1,3,1],[3,1,4,1,1,2,4,
1]],[[1,2],[2,2],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,3,1],[4,1,1,2,4,1,3,1]]],[[[
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1]],[[1,2],[2,1,1,-1,2,-1,1,1,2,1,3,-1,2,1]]],[[[1,2],[1,1,2,1],[3,1,2,-1,4,1,
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1,4,2,3,1]],[[1,2],[1,1,2,1],[4,1,3,-1,4,1,3,-1]]],[[[1,2],[3,1,2,-1,1,-1,2,
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1,2],[3,-1,2,-1,3,1,2,1,3,1]]],[[[1,2],[3,-1,2,-1,3,1,2,1,3,1]],[[1,1,2,-1,1,
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1]]],[[[1,2],[1,1,2,2],[3,1,4,1,3,1,4,1]],[[2,1,1,1,2,3,1,-2]]],[[[1,2],[1,1,
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3,1,2,1]],[[1,2],[2,1,3,1,2,-1,1,-1,3,-1,2,1]]],[[[1,2],[3,-1,2,2,1,-1,2,-1,1,
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2],[2,1,3,1],[3,1,4,1,1,1,2,1,4,-1]],[[2,1,1,1],[2,1,3,2,2,-1]]],[[[1,2],[2,1,
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2,1,1,-2,2,1,1,-1,2,1],[4,1,3,1,4,-2,3,-2]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,
-2],[4,1,3,2,4,1]],[[1,2,2,1,1,1,2,3],[2,1,1,-2,2,1,1,-1,2,1],[4,-2,3,-2,4,
1]]],[[[1,2],[3,1,1,1,2,1,1,1,2,-1,3,1]],[[1,1,2,-1,1,1,2,1,1,-2]]],[[[1,1,2,
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3,2,4,1]]],[[[1,2],[2,1,1,1],[2,1,4,-1,3,-1,4,1,2,-1,3,1]],[[2,2],[3,1,1,-2,3,
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1,3,1,4,1,3,1,2,-1]],[[1,2,2,-2,1,1,2,2,1,-1]],[[1,2],[2,1,1,-1,2,-1],[4,1,3,
1,4,-1,3,-1]]],[[[1,2],[2,1,1,1],[2,1,4,-1,3,-1,4,1,2,-1,3,1]],[[2,1,1,-1,2,1,
1,-1,2,-2]],[[1,2],[1,1,2,1,1,-1,2,-2,3,-1,2,1]]],[[[1,2],[3,1,2,1,1,1,2,-1,3,
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1,2]]],[[[1,2],[2,1,1,-1,2,-1],[3,1,4,-1,3,1,4,1]],[[1,2],[3,-1,2,1,1,1,2,-1,
1,-1]]],[[[1,2],[2,1,1,1],[4,1,2,-1,3,1,2,1,4,-1,3,-1]],[[2,1,1,-1,2,1,1,-3,2,
2]]],[[[1,2],[3,1,1,1,2,-4,1,1,3,1]],[[1,2],[1,1,2,2],[4,1,3,1,4,1,3,1]]],[[[
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1,2,1,1,1,2,-1,3,1,2,-1,1,1,2,1]],[[1,1,2,-3,1,1,2,-1,1,-2]]],[[[1,2],[3,1,1,
1,2,-4,1,1,3,1]],[[1,2],[3,1,2,1,1,-1,2,-2,3,-1,2,-1,1,-1]]],[[[1,2],[1,1,2,
1],[4,2,3,-1,4,1,3,1,4,1]],[[1,2],[1,1,2,1],[3,1,4,1,3,-1,4,-2]],[[1,1,2,1],[
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2,1,1,-1],[5,1,3,2,5,2,3,1]],[[1,2],[3,1,2,-2,3,1,2,1,1,-1],[4,1,1,-2,2,-1,1,
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2,1],[2,1,1,-1,2,1,3,1,2,1,1,2,3,1]],[[1,1,2,1],[2,1,1,2,3,2,2,2,1,1]]],[[[2,
2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[5,1,3,2,5,2,3,1]],[[2,2,
1,1,2,1,1,1,2,1,1,2],[3,-3]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,
1,1,-1],[3,2,5,-1,3,-1,5,-1]],[[1,2],[3,1,2,-2,3,1,2,1,1,-1],[4,1,1,-2,2,-1,1,
-1,2,-1,1,-1,2,-2,4,-2]]],[[[1,2],[1,1,2,1],[4,1,3,-1,2,-2,1,1,2,-1,3,1,4,
1]],[[1,1,2,1],[1,2,3,1,2,1,3,1,1,1,2,-2]],[[2,1,1,1,2,-1,1,1,2,2,1,-1,2,1,1,
2]]],[[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[5,1,3,2,5,2,3,
1]],[[1,2],[3,1,2,-2,3,1,2,1,1,-1],[4,1,1,-2,2,-1,1,-1,2,-1,1,-1,2,-2,4,1]],[[
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2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[5,1,3,1,5,1,3,1]]],[[[1,
2],[1,1,2,1],[2,1,3,1,4,2,3,1,2,-1]],[[1,1,2,2],[3,1,1,2,3,1]],[[1,2],[2,1,3,
1],[1,1,2,1,4,-1,3,1,4,1]]],[[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,2],[4,1,
5,-1,4,1,5,1]],[[1,2,2,1,1,1,2,3],[2,1,1,-2,2,1,1,-1,2,1],[4,1,3,-1,4,-1,3,1,
4,1]],[[1,1,2,2,1,2,2,-2],[1,2,2,1,1,1,2,3,3,-3]],[[1,2,2,1,1,1,2,3],[1,1,2,2,
1,2,2,-2],[4,1,3,-1,4,-1,3,-1,4,2]]],[[[1,2,2,1,1,1,2,3],[2,1,1,-2,2,1,1,-1,2,
1],[4,1,3,1,4,1,3,1,4,1,3,-2]],[[1,1,2,2,1,2,2,-2],[1,2,2,1,1,1,2,3,3,-3]],[[
1,2,2,1,1,1,2,3],[3,2],[4,-1,1,1,2,2,1,2,2,-2,4,1,3,1]]],[[[2,2,1,1,2,1,1,1,2,
1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,-1],[6,2,3,2]],[[2,2,1,1,2,1,1,1,
2,1,1,2],[3,3]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,
5,-3,3,-1]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,1,
3,1,5,-2]]],[[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[5,1,3,
1,5,-2,3,-2]],[[1,2],[3,1,2,-2,3,1,2,1,1,-1],[4,1,1,-2,2,-1,1,-1,2,-1,1,-1,2,
-2,4,1]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,-1,3,
2,5,-2]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,1,3,
1,5,1]]],[[[1,1,2,1],[2,1,1,-1,2,1,3,2,1,2,2,-1]],[[1,2],[1,1,2,1,3,1,2,2,1,
-1,2,1,3,1]],[[1,1,2,1],[2,1,3,2,1,1]],[[1,1,2,1],[2,2,3,2,1,1,2,-1]]],[[[1,
2],[1,1,2,1],[1,1,2,-1,3,-1,4,2,3,1,2,2]],[[1,1,2,1],[3,2,2,2,3,1,1,2]],[[1,1,
2,1],[1,2,2,2],[4,1,3,1,4,1,3,1]]],[[[1,2],[1,1,2,1],[4,1,3,1,2,1,1,-1,2,2,3,
1,4,1]],[[1,2],[1,1,2,1],[3,1,4,-3,3,-1,1,-1,2,-1]],[[1,2],[1,1,2,1],[3,1,2,1,
4,2,3,-1,2,-1]]],[[[1,2],[1,1,2,1],[4,1,3,1,2,1,1,-1,2,2,3,1,4,1]],[[1,2],[2,
1,1,1,2,-1,3,-1,2,-1,1,1,2,1]],[[1,2],[1,1,2,1],[2,2],[4,1,3,1,5,-2,3,-1,4,
-1]]],[[[1,1,2,1],[1,2,2,-1,3,-1,1,-1,2,-2,3,-1]],[[1,1,2,1],[2,1,3,-2,2,1,3,
2]],[[1,1,2,1],[2,1,1,-1,2,1,3,2,1,2,2,-1]],[[1,1,2,1],[1,2,2,2],[4,1,3,1,4,1,
3,1]]],[[[1,2],[1,1,2,1],[4,1,3,-1,2,1,1,-1,4,1,3,1,2,1,1,1]],[[1,1,2,1],[2,1,
1,1,3,2,1,2,2,1,1,-1]],[[2,1,1,1,2,-1,1,1,2,1,1,2,2,2,1,-1]]],[[[1,2,2,1,1,1,
2,3],[2,1,1,-2,2,1,1,-1,2,1],[3,1,4,-1,3,1,4,-2]],[[1,2,2,1,1,1,2,3],[1,1,2,2,
1,2,2,-2],[3,1,4,1,3,1,4,1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[4,1,3,-3,
4,-1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,1,4,-1,3,-1,4,1]]],[[[1,2],[1,
1,2,1],[3,1,2,-1,3,-1,4,-2]],[[1,2],[3,1,2,1,3,-1,1,-1,2,-2]]],[[[2,2,1,1,2,1,
1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[5,1,3,2,5,2,3,1]],[[2,2,1,1,2,1,1,
1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,2,5,-1,3,-1,5,-1]],[[2,2,1,1,2,1,
1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,-1],[3,2,6,2]],[[2,2,1,1,2,
1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,-3,3,-1]],[[2,2,1,1,2,1,1,
1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,1,3,2,5,-1]]],[[[2,2,1,1,2,1,
1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[5,1,3,3,5,1,3,-1]],[[2,2,1,1,2,1,
1,1,2,1,1,2],[3,-3]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,
-1],[3,1,5,1,3,1,5,-2]],[[1,2],[3,1,2,-2,3,1,2,1,1,-1],[4,1,1,-2,2,-1,1,-1,2,
-1,1,-1,2,-2,4,1]]],[[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,
-1],[3,1,5,-1],[6,1,3,2,6,1]],[[1,2],[3,1,2,-2,3,1,2,1,1,-1],[4,1,1,-2,2,-1,1,
-1,2,-1,1,-1,2,-2,4,1]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,
-1],[3,1,5,1,3,1,5,-2]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,
-1],[3,2,5,-1,3,-1,5,-1]]],[[[1,1,2,-2,1,-3,2,1,1,-1,2,-2]],[[2,1,1,2,2,3,1,
2]],[[1,2],[1,1,2,1],[4,1,3,-1,2,-1,3,1,2,1,4,1]]],[[[1,1,2,1],[2,2,1,2,3,-2,
2,1,1,-1]],[[1,2],[1,1,2,-2,1,1,2,1,3,-1,2,1]],[[1,2],[2,1,3,1],[1,1,2,1,4,-1,
3,1,4,1]],[[1,2],[2,2,1,1],[3,1,4,1,3,1,4,1]]],[[[1,2],[1,1,2,1],[4,1,3,-1,2,
-1,3,1,2,1,4,1]],[[1,1,2,1],[2,2,3,2,1,1,2,-1]],[[1,1,2,1],[2,1,3,1],[4,1,1,2,
3,1,4,1]]],[[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[4,2,3,1,4,-1,3,1,4,-1]],[[
1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,2,4,1,3,1,4,2]],[[1,2,2,1,1,1,2,3],[2,
1,1,-2,2,1,1,-1,2,1],[4,1,3,-1,4,-1,3,1,4,1]]],[[[1,2],[1,1,2,1],[3,1,2,1,3,1,
4,-2,2,-1]],[[1,2],[2,1,1,1,2,-1,3,-1,2,-1,1,1,2,1]],[[1,1,2,-1,1,1,2,-1,1,1,
2,-1]]],[[[1,2],[2,2,1,1,3,1,2,1,1,1,2,1,3,1]],[[1,1,2,1],[2,1,3,1,1,2,2,2,1,
1,3,-1]],[[1,2],[3,1,2,2,1,1,2,-1,3,-1,2,-1,1,-1]]],[[[1,2],[2,2,3,-1,2,1,1,1,
3,1,1,1,2,1]],[[1,2],[2,2,1,1],[3,1,4,1,3,1,4,1]],[[1,2],[2,1,3,1],[1,1,2,1,4,
-1,3,1,4,1]]],[[[1,1,2,1],[2,2,1,2,3,-1,2,1,1,1,2,-1,3,1]],[[1,2],[2,1,1,-1,2,
1,3,1,2,-1,1,-1,3,-1,2,1,1,-1]],[[2,1,1,1,2,-1,1,1,2,1,1,2,2,2,1,-1]],[[1,2],[
1,1,2,1,3,-1,2,-2,3,1,2,2,1,-1]]],[[[1,2,2,1,1,1,2,3],[2,1,1,-2,2,1,1,-1,2,
1],[4,1,3,1],[5,1,4,-1,3,-1,5,1]],[[1,1,2,2,1,2,2,-2],[3,-4]],[[1,2,2,1,1,1,2,
3],[1,1,2,2,1,2,2,-2],[4,1,3,2,4,-1,3,-1,4,2]]],[[[1,2,2,1,1,1,2,3],[1,1,2,2,
1,2,2,-2],[4,1,3,-3,4,-1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[4,2,3,
-2]],[[1,2,2,1,1,1,2,3],[3,1,2,1,1,-2,2,1,1,-1,2,1,3,1]],[[1,2,2,1,1,1,2,3],[
1,1,2,2,1,2,2,-2],[3,1,4,1,3,1,4,1]]],[[[1,1,2,1,1,2,2,2,1,-1]],[[1,1,2,1],[2,
1,3,2,1,1]]],[[[1,2],[1,1,2,1],[4,1,3,1,2,1,1,1,4,1,3,1,2,1,1,-1]],[[1,1,2,
1],[1,1,2,-1,3,1,2,2,3,1]],[[1,2],[1,1,2,-2],[4,1,3,1,4,1,3,1]]],[[[2,1,1,-1,
2,1,1,1,2,1,1,1,2,-2,1,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,4,-1,3,-1]],[[1,1,2,
1],[1,2,2,-1,3,-1,2,1,1,-1,2,1,3,1]]],[[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,
2,-2,4,1,2,1,1,-1],[5,1,3,2,5,-1,3,-2]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,
2,-2,4,1,2,1,1,-1],[3,2,5,-1,3,-1,5,-1]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,
1,2,-2,4,1,2,1,1,-1],[3,1,5,-3,3,-1]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,
-2,4,1,2,1,1,-1],[3,1,5,1,3,2,5,-1]]],[[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,
2,-2,4,1,2,1,1,-1],[3,1,5,-1],[6,1,3,2,6,1]],[[2,2,1,1,2,1,1,1,2,1,1,2],[3,
-3]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,1,3,2,5,
2]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[5,1,3,-1,5,1,3,
3]]],[[[1,2],[1,1,2,1],[4,1,3,-1,2,-2,1,1,2,-1,3,1,4,1]],[[1,2],[1,1,2,2,3,-1,
2,1,3,-1]],[[1,1,2,1],[3,1,1,1,2,-1,3,1,1,2,2,1,1,1]]],[[[1,2,2,1,1,-1,2,3,1,
2,2,1]],[[1,2],[2,1,3,1],[1,1,2,1,4,-1,3,1,4,1]],[[1,2],[1,1,2,2],[3,1,4,1,3,
1,4,1]]],[[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[5,1,3,2,5,
-1,3,-2]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[5,1,3,1,5,
1,3,1]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,-1],[
3,2,6,2]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,-3,
3,-1]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,1,3,1,
5,-2]]],[[[1,1,2,1],[2,2,1,1,3,-1,2,1,3,1,1,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,
4,-1,3,-1]],[[1,1,2,1],[2,2,3,2,1,1,2,-1]],[[1,2],[1,1,2,-2],[4,1,3,1,4,1,3,
1]]],[[[1,2,2,1,1,1,2,3],[2,1,1,-2,2,1,1,-1,2,1],[3,2,4,-1,3,-1,4,1,3,-1,4,
-1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[4,1,3,2,4,1,3,-1,4,-1]],[[1,2,2,1,
1,1,2,3],[1,1,2,2,1,2,2,-2],[3,2],[5,1,4,-1,5,1,3,1,4,2]]],[[[1,2,2,1,1,1,2,
3],[2,1,1,-2,2,1,1,-1,2,1],[3,2,4,-1,3,-1,4,1,3,-1,4,-1]],[[1,2,2,1,1,1,2,3],[
1,1,2,2,1,2,2,-2],[4,1,3,1,4,1,3,1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[4,
1,3,-3,4,3,3,1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[4,1,3,1,4,1],[3,2,5,
2]]],[[[1,1,2,1],[2,2,1,1,3,-1,2,1,3,1,1,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,4,
-1,3,-1]],[[1,1,2,1],[2,2,3,2,1,1,2,-1]],[[1,2],[1,1,2,1],[4,1,3,-1,4,1,3,1,4,
2]]],[[[1,2],[1,1,2,1],[4,1,3,-1,2,2,3,1,4,-1]],[[2,3,1,-2,2,1,1,-1,2,-1]],[[
1,2],[1,1,2,2],[4,1,3,1,4,1,3,1]]],[[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,
2],[4,1,5,-1,4,1,5,1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[4,1,3,2,4,1,3,
-1,4,-1]],[[1,2,2,1,1,1,2,3],[2,1,1,-2,2,1,1,-1,2,1],[4,1,3,-1,4,1,3,1,4,
1]]],[[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[5,1,3,3,5,1,3,
-1]],[[2,2,1,1,2,1,1,1,2,1,1,2],[3,-3]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,
2,-2,4,1,2,1,1,-1],[3,1,5,-1],[3,2,6,2]],[[1,2],[3,1,2,-2,3,1,2,1,1,-1],[4,2,
2,2,1,1,2,1,1,1,2,1,1,2,4,-1]]],[[[1,2],[1,1,2,1],[3,1,2,2,4,2,1,1,2,-1,3,
-1]],[[2,1,1,1,2,-2,1,1,2,-1,1,1,2,-1]],[[1,2],[1,1,2,1],[1,1,2,-1,3,-1,4,2,3,
1,2,2]]],[[[1,2],[1,1,2,1],[4,1,2,1,1,1,3,1,1,1,2,-1,3,1,4,1]],[[1,2],[3,1,2,
1,3,-1,2,2,1,2,2,1]],[[1,1,2,-1,1,1,2,-1,1,1,2,-1]]],[[[1,2],[2,1,3,1],[1,1,2,
1,4,-1,3,1,4,1]],[[1,1,2,1],[3,1,1,-1,2,1,3,1,1,2]],[[1,2],[2,2,1,1],[3,1,4,1,
3,1,4,1]]],[[[1,2],[3,1,2,-1,1,1,2,2,1,1,2,-1,3,1]],[[1,1,2,1],[2,1,3,1,2,1,1,
2,3,1]],[[1,1,2,1],[1,2,2,1,3,2,1,-1]]],[[[1,2],[1,1,2,1],[4,1,3,1,2,1,1,1,4,
1,3,1,2,1,1,-1]],[[1,1,2,1],[1,1,2,-1,3,1,2,2,3,1]],[[1,1,2,1],[2,2,3,2,1,1,2,
-1]]],[[[1,1,2,1],[2,1,3,1,1,2,2,2,1,1,3,-1]],[[1,2],[1,1,2,1,3,1,2,2,1,-1,2,
1,3,1]],[[1,2],[2,2],[3,1,4,-2,3,-1]]],[[[1,2,2,1,1,1,2,3],[2,1,1,-2,2,1,1,-1,
2,1],[4,1,3,1],[4,1,5,1,4,-1,3,-1,5,1,4,-1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,
2,-2],[4,1,3,-2,4,1,3,1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,1,4,1,3,1,
4,1]]],[[[1,2,2,1,1,1,2,3],[2,1,1,-2,2,1,1,-1,2,1],[4,1,3,1],[5,1,4,-1,3,-1,5,
1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,1,4,1,3,1,4,1]],[[1,2,2,1,1,1,2,
3],[1,1,2,2,1,2,2,-2],[4,1,3,-3,4,-1]]],[[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,
-2],[4,1,3,-3,4,-1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[4,2,3,-2]],[[1,2,
2,1,1,1,2,3],[3,1,2,1,1,-2,2,1,1,-1,2,1,3,1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,
2,-2],[3,1,4,-1,3,-1,4,1]]],[[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,2],[5,1,
3,1,4,-1,5,1,4,1]],[[1,2,2,1,1,1,2,3],[3,1,2,1,1,-2,2,1,1,-1,2,1,3,1]],[[1,2,
2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,1,4,-4,3,-1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,
1,2,2,-2],[3,1,4,1,3,1,4,-1,3,-2]]],[[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[4,
1,3,-1,4,2,3,1,4,-1,3,-1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[4,2,3,
-2]],[[1,2,2,1,1,1,2,3],[2,1,1,-2,2,1,1,-1,2,1],[3,1,4,-1,3,1,4,-2]],[[1,2,2,
1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,1,4,-4,3,-1]]],[[[2,1,1,-2,2,1,1,-1,2,1],[1,
2,2,1,1,1,2,3,3,-1],[3,1,4,-2]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[4,2,3,
-2]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,1,4,1,3,1,4,-1,3,-2]],[[1,2,2,1,
1,1,2,3],[1,1,2,2,1,2,2,-2],[4,1,3,-3,4,-1]]],[[[1,2,2,1,1,1,2,3],[2,1,1,-2,2,
1,1,-1,2,1],[4,1,3,1,4,-1,3,-3,4,1]],[[1,1,2,2,1,2,2,-2],[1,2,2,1,1,1,2,3,3,
-3]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,2],[5,1,4,-1,3,-1,4,-1,5,-1,4,
1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,2],[5,1,4,-1,5,1,3,1,4,2]],[[1,2,
2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,2],[4,1,5,-1,4,1,5,1]]],[[[1,2,2,1,1,1,2,
3],[2,1,1,-2,2,1,1,-1,2,1],[3,2,4,-1,3,-1,4,1,3,-1,4,-1]],[[1,1,2,2,1,2,2,
-2],[1,2,2,1,1,1,2,3,3,-3]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[4,1,3,2,4,
-1,3,-1,4,2,3,1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,2],[5,1,4,1,3,-1,4,
2,5,-1]]],[[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,2],[3,1,4,2,5,-1,4,1,5,
1]],[[1,1,2,2,1,2,2,-2],[1,2,2,1,1,1,2,3,3,-3]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,
2,2,-2],[4,1,3,-1,4,-1,3,-1,4,2]],[[1,2,2,1,1,1,2,3],[2,1,1,-2,2,1,1,-1,2,1],[
4,1,3,-1,4,1,3,1,4,1]]],[[[1,2,2,1,1,1,2,3],[2,1,1,-2,2,1,1,-1,2,1],[3,2,4,-1,
3,1,4,-1,3,1,4,-1]],[[1,1,2,2,1,2,2,-2],[1,2,2,1,1,1,2,3,3,-3]],[[1,2,2,1,1,1,
2,3],[1,1,2,2,1,2,2,-2],[4,1,3,-1,4,2,3,1,4,-1]]],[[[1,2,2,1,1,1,2,3],[2,1,1,
-2,2,1,1,-1,2,1],[4,1,3,1,4,-1,3,-3,4,1]],[[1,2,2,1,1,1,2,3],[3,2],[4,-1,1,1,
2,2,1,2,2,-2,4,1,3,1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,1,4,1,3,1,4,
1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[4,2,3,-1,4,-1,3,-2]]],[[[1,2,2,1,1,
1,2,3],[2,1,1,-2,2,1,1,-1,2,1],[3,2,4,-1,3,1,4,-1,3,1,4,-1]],[[1,2,2,1,1,1,2,
3],[1,1,2,2,1,2,2,-2],[3,1,4,1,3,1,4,1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,
-2],[3,2],[4,1,5,-1,4,2,3,1,5,1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,
2],[5,1,4,1,5,-1,4,1,5,-1]]],[[[1,2,2,1,1,1,2,3],[2,1,1,-2,2,1,1,-1,2,1],[4,1,
3,1,4,-1,3,1,4,1,3,-2]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[4,1,3,2,4,1,3,
-1,4,-1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[4,2,3,1,4,-1,3,1,4,-1]]],[[[
1,2],[1,1,2,1,3,1,2,1,1,-1,2,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,4,-1,3,
-1]],[[1,2],[2,1,3,-1,2,-1,1,-1,3,1,2,-1,3,1]]],[[[1,2],[1,1,2,2,1,-1,2,-1,3,
1,2,-1,3,-1]],[[2,1,1,2,2,2,1,1]],[[1,2,2,1,1,2,2,3]]],[[[1,2,2,1,1,1,2,3],[2,
1,1,-2,2,1,1,-1,2,1],[4,1,3,1],[5,1,3,2,4,1,5,-1]],[[1,2,2,1,1,1,2,3],[1,1,2,
2,1,2,2,-2],[4,1,3,2,4,1,3,-1,4,-1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,
2],[4,1,3,1,4,-1,5,1,4,1,5,1]]],[[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[4,1,3,
-3,4,-1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,1,4,1,3,1,4,1]],[[1,2,2,1,
1,1,2,3],[3,1,2,1,1,-2,2,1,1,-1,2,1,3,1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,
-2],[3,2,4,2]]],[[[2,1,1,-2,2,1,1,-1,2,1],[1,2,2,1,1,1,2,3,3,-1],[3,1,4,
-2]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,2,4,-2]],[[1,2,2,1,1,1,2,3],[1,
1,2,2,1,2,2,-2],[4,1,3,-3,4,-1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,1,4,
1,3,1,4,1]]],[[[1,2],[3,1,2,-1,1,1,2,-1,1,1,2,-1,3,1]],[[1,1,2,-1,1,1,2,-1,1,
1,2,-1]],[[1,2,2,1,1,-1,2,1,1,-1,2,1]]],[[[1,2],[1,1,2,1],[3,1,4,-1,2,-1,4,1,
3,-1]],[[1,1,2,-2,1,1,2,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1,2,-1,1,2,3,2]]],[[[
2,1,1,-2,2,1,1,-1,2,1],[1,2,2,1,1,1,2,3,3,-1],[3,1,4,-2]],[[1,1,2,2,1,2,2,
-2],[3,1,2,-1,1,1,2,-1,1,2,2,-1,3,2]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[
4,1,3,-3,4,-1]]],[[[1,2],[1,1,2,2],[3,1,4,1,3,1,4,1]],[[1,1,2,1],[2,1,3,1,1,
-3,2,-1,3,1]],[[1,2],[1,1,2,1],[3,1,4,1,3,1,2,-1,4,-1]]],[[[1,2,2,1,1,1,2,3],[
1,1,2,2,1,2,2,-2],[4,2,3,1,4,-1,3,1,4,-1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,
-2],[4,1,3,1,4,1,3,1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,1,4,1,3,1,4,
1]],[[1,1,2,2,1,2,2,-2],[1,2,2,1,1,1,2,3,3,-3]]],[[[1,2,2,1,1,1,2,3],[1,1,2,2,
1,2,2,-2],[4,1,3,-1,4,-2,3,1,4,-1]],[[1,1,2,2,1,2,2,-2],[1,2,2,1,1,1,2,3,3,
-3]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[4,1,3,2,4,1,3,-1,4,-1]]],[[[1,2],[
3,1,2,-1,1,1,2,-1,1,1,2,-1,3,1]],[[2,1,1,-1],[3,2,2,1,1,2]],[[1,2,2,1,1,-1,2,
1,1,-1,2,1]]],[[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[4,1,3,-3,4,-1]],[[1,1,2,
2,1,2,2,-2],[3,2,2,-3,1,-1,2,-1,1,-2,3,1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,
-2],[3,2,4,2]]],[[[1,2,2,1,1,1,2,3],[2,1,1,-2,2,1,1,-1,2,1],[4,1,3,-1,4,-1,3,
1,4,1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[4,1,3,1,4,1,3,1]],[[1,1,2,2,1,
2,2,-2],[1,2,2,1,1,1,2,3,3,-3]]],[[[1,2],[1,1,2,1,3,1,2,1,1,-1,2,-2,3,-1]],[[
1,2],[3,1,2,-1,1,-1,2,-1,3,1,2,1,3,1]],[[1,2],[2,2,1,1],[4,1,3,1,4,1,3,
1]]],[[[1,2],[1,1,2,-2],[4,1,3,1,4,1,3,1]],[[2,2,1,1],[3,1,1,2,3,1]],[[1,2],[
2,1,3,1],[1,1,2,1,4,-1,3,1,4,1]]],[[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,
4,1,2,1,1,-1],[5,1,3,3,5,1,3,-1]],[[2,2,1,1,2,1,1,1,2,1,1,2],[3,-3]],[[2,2,1,
1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,1,3,2,5,-1]],[[2,2,1,
1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,2,5,-1,3,-1,5,-1]]],[[[1,
2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[4,1,3,-1,4,-2,3,1,4,-1]],[[1,2,2,1,1,1,2,
3],[1,1,2,2,1,2,2,-2],[4,1,3,1,4,1,3,1]],[[1,1,2,2,1,2,2,-2],[1,2,2,1,1,1,2,3,
3,-3]]],[[[1,2,2,1,1,1,2,3],[2,1,1,-2,2,1,1,-1,2,1],[4,1,3,1,4,-1,3,1,4,1,3,
-2]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[4,1,3,1,4,1,3,1]],[[1,2,2,1,1,1,2,
3],[1,1,2,2,1,2,2,-2],[3,2],[4,1,5,-1,4,2,3,1,5,1]],[[1,2,2,1,1,1,2,3],[1,1,2,
2,1,2,2,-2],[3,1,4,1,3,1,4,1]]],[[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[4,1,3,
-1,4,-1,3,-1,4,2]],[[1,2,2,1,1,1,2,3,1,1,2,2,1,2,2,-2]],[[1,2,2,1,1,1,2,3],[2,
1,1,-2,2,1,1,-1,2,1],[4,1,3,-1,4,-1,3,1,4,1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,
2,-2],[3,1,4,-4,3,-1]]],[[[1,2,2,1,1,1,2,3],[2,1,1,-2,2,1,1,-1,2,1],[4,1,3,-1,
4,-1,3,1,4,1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[4,1,3,2,4,1,3,-1,4,
-1]],[[1,1,2,2,1,2,2,-2],[1,2,2,1,1,1,2,3,3,-3]]],[[[1,2],[2,2],[3,1,4,-2,3,
-1],[2,1,1,1,2,2,1,-1,2,-1],[6,-2],[7,1,5,1,6,-2,5,1,7,1]],[[1,2],[2,2],[3,1,
4,-2,3,-1],[2,1,1,1,2,2,1,-1,2,-1],[6,1,5,1,6,-1,5,1,6,1]],[[1,2],[2,2],[3,1,
4,-2,3,-1]]],[[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[4,2,3,1,4,-1,3,1,4,
-1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[4,1,3,2,4,1,3,-1,4,-1]],[[1,1,2,2,
1,2,2,-2],[1,2,2,1,1,1,2,3,3,-3]]],[[[1,1,2,1],[3,1,1,-1,2,-1,1,1,2,-1,3,1],[
4,1],[5,2,1,1,2,-1,1,1,2,-1,1,1,2,-1,5,1]],[[1,2],[3,1,2,1,3,-1,2,2,1,2,2,1],[
1,1,2,1],[5,1,1,-1,2,-1,1,1,2,-1,5,1],[4,1,6,2]],[[1,1,2,1],[3,1,1,-1,2,-1,1,
1,2,-1,3,1],[1,2],[1,1,2,1,5,1,2,1,5,1,2,2,1,1],[4,1],[7,2,6,1]]],[[[1,2],[3,
1,2,1,3,-1,2,2,1,2,2,1],[1,1,2,1],[5,1,1,-1,2,-1,1,1,2,-1,5,1],[6,1,4,1]],[[1,
1,2,-1,1,1,2,-1,1,1,2,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,1,1,2,-1,3,1],[1,2],[1,1,
2,1,5,1,2,1,5,1,2,2,1,1],[6,1,4,1]]],[[[1,2],[2,1,3,1,1,1,2,1,3,1,2,-2]],[[1,
2],[3,1,1,1,2,-1,3,-1,2,-1,1,-1,2,-1]]],[[[1,2],[3,1,2,1,1,1,3,1,2,1,1,1,2,
1]],[[1,2],[2,-1,3,1,1,1,2,1]]],[[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,
1,2,1,1,-1],[5,1,3,3,5,1,3,-1]],[[1,2],[3,1,2,-2,3,1,2,1,1,-1],[4,1,1,-2,2,-1,
1,-1,2,-1,1,-1,2,-2,4,-2]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,
1,-1],[3,1,5,1,3,2,5,-1]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,
1,-1],[3,2,5,-1,3,-1,5,-1]]],[[[1,2,2,1,1,1,2,3],[2,1,1,-2,2,1,1,-1,2,1],[4,1,
3,-1,4,-1,3,1,4,1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,2,4,1,3,1,4,
2]],[[1,1,2,2,1,2,2,-2],[3,-4]]],[[[1,2],[3,1,2,1,3,-1,2,2,1,2,2,1],[1,1,2,
1],[5,1,1,-1,2,-1,1,1,2,-1,5,1],[4,1,6,2]],[[1,1,2,1],[3,1,1,-1,2,-1,1,1,2,-1,
3,1],[1,2],[1,1,2,1,5,1,2,1,5,1,2,2,1,1],[6,1,4,1]],[[1,1,2,-1,1,1,2,-1,1,1,2,
-1]]],[[[1,1,2,1],[2,2,1,1,3,-1,2,1,3,1,1,2]],[[1,2],[2,2],[3,1,4,-2,3,-1]],[[
1,1,2,1],[2,1,3,1,1,2,2,2,1,1,3,-1]]],[[[1,2],[3,1,2,1,3,-1,2,2,1,2,2,1],[1,1,
2,1],[5,1,1,-1,2,-1,1,1,2,-1,5,1],[6,2,4,1]],[[1,2],[3,1,2,1,3,-1,2,2,1,2,2,
1],[1,1,2,1],[5,1,1,-1,2,-1,1,1,2,-1,5,1],[4,1,6,1]],[[1,2],[1,1,2,1,3,1,2,1,
3,1,2,2,1,1],[1,1,2,-1,1,1,2,-1,1,1,2,-1,4,1]]],[[[1,1,2,1],[3,1,1,-2,2,-1,1,
-1,2,-2,3,-1]],[[1,2],[1,1,2,1],[4,1,3,1,2,2,3,1,4,1]],[[1,2],[2,1,3,1],[3,1,
4,1,1,1,2,1,4,-1]]],[[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[4,2,3,-1,4,-1,3,
-2]],[[1,2,2,1,1,1,2,3],[2,1,1,-2,2,1,1,-1,2,1],[4,1,3,-1,4,-1,3,1,4,1]],[[1,
2,2,1,1,1,2,3,1,1,2,2,1,2,2,-2]]],[[[1,2,2,1,1,1,2,3],[2,1,1,-2,2,1,1,-1,2,
1],[3,2,4,-1,3,-1,4,1,3,-1,4,-1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[4,1,
3,1,4,1,3,1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,2],[5,1,4,-1,3,-1,4,-1,
5,-1,4,1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,2],[4,1,5,-1,4,1,5,
1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,1,1,2,-1,3,1],[4,1],[5,1,1,1,2,-1,1,1,2,-1,1,
1,2,-1,5,2]],[[1,2],[3,1,2,1,3,-1,2,2,1,2,2,1],[1,1,2,1],[5,1,1,-1,2,-1,1,1,2,
-1,5,1],[6,1,4,1]],[[1,1,2,1],[3,1,1,-1,2,-1,1,1,2,-1,3,1],[1,2],[1,1,2,1,5,1,
2,1,5,1,2,2,1,1],[6,1,4,1]]],[[[1,2,2,1,1,1,2,3],[2,1,1,-2,2,1,1,-1,2,1],[4,1,
3,-1,4,-1,3,1,4,1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[4,1,3,1,4,1,3,
1]],[[1,2,2,1,1,1,2,3,1,1,2,2,1,2,2,-2]]],[[[1,1,2,1],[2,2,1,1,3,-1,2,1,3,1,1,
2]],[[1,2],[3,1,2,-1,3,-1,2,1,1,1,2,1]],[[1,2,2,-1,1,1,2,-1,1,1,2,-1,1,
-1]]],[[[1,2,2,-1,1,-1,2,-1,1,1,2,-1]],[[1,2,2,2,1,1,2,1]]],[[[2,2],[3,1,1,-2,
3,1,1,1,2,1]],[[1,2],[3,1,2,-3,3,1]]],[[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[
4,1,3,-1,4,-2,3,1,4,-1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[4,1,3,1,4,1,3,
1]],[[1,1,2,2,1,2,2,-2],[3,-4]]],[[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[4,2,
3,1,4,-1,3,1,4,-1]],[[1,2,2,1,1,1,2,3,1,1,2,2,1,2,2,-2]],[[1,2,2,1,1,1,2,3],[
1,1,2,2,1,2,2,-2],[4,1,3,1,4,1,3,1]]],[[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[
3,2],[4,1,5,-1,4,1,5,1]],[[1,2,2,1,1,1,2,3,1,1,2,2,1,2,2,-2]],[[1,2,2,1,1,1,2,
3],[1,1,2,2,1,2,2,-2],[4,1,3,-1,4,-2,3,1,4,-1]]],[[[1,2,2,1,1,1,2,3],[2,1,1,
-2,2,1,1,-1,2,1],[4,1,3,1,4,-1,3,-1,4,1,3,-1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,
2,2,-2],[3,1,4,1,3,1,4,1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[4,1,3,-1,4,
2,3,1,4,-1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,2],[4,1,5,-1,4,1,5,
1]]],[[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[4,1,3,-3,4,-1]],[[1,1,2,2,1,2,2,
-2],[3,-4]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,1,4,-1,3,-1,4,1]],[[1,2,
2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,1,4,1,3,1,4,1]]],[[[1,2],[1,1,2,1,3,-1,2,
-1,1,1,2,-2,3,1]],[[2,1,1,-1,2,1,1,2,2,1,1,-1]]],[[[2,1,1,1],[2,1,3,-1,1,-3,2,
1,3,-1]],[[1,2],[3,1,1,1,2,1,1,-1,2,1,3,-1]]],[[[1,1,2,1],[3,1,2,1,1,-1,2,-1,
3,-1,1,-2]],[[1,2],[2,2,1,1],[3,1,4,1,3,1,4,1]]],[[[2,1,1,-1,2,-1,1,-2,2,-3,1,
-1]],[[1,1,2,-1,1,1,2,1,1,-2,2,-1]]],[[[1,2],[1,1,2,2],[4,1,3,1,4,1,3,1]],[[1,
2],[2,1,3,1,1,1,2,1,3,-1,2,1,1,-1]]],[[[1,2],[3,-1,2,-2,3,1]],[[2,1,1,-3,2,
1]]],[[[1,1,2,1],[2,2,1,1,3,-1,2,1,3,1,1,2]],[[1,1,2,-2,1,2]],[[1,1,2,1],[2,2,
3,2,1,1,2,-1]]],[[[1,1,2,1],[2,2,3,2,1,1,2,-1]],[[2,1,1,-3,2,-1]],[[1,1,2,1],[
2,1,3,2,1,1]]],[[[1,2,2,1,1,1,2,3],[2,1,1,-2,2,1,1,-1,2,1],[4,1,3,1,4,1,3,-1,
4,-1,3,-1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[4,1,3,1,4,-1,3,-2,4,-1]],[[
1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,1,4,1,3,1,4,1]]],[[[2,1,1,2,2,3,1,
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-1]],[[1,2],[1,1,2,-2],[4,1,3,1,4,1,3,1]]],[[[1,2],[3,1,2,-2,3,-1]],[[1,-1,2,
2,1,1]]],[[[1,2],[3,1,1,1,2,1,1,-1,2,-2,3,-1]],[[1,1,2,1],[2,1,3,2,1,1]]],[[[
1,2],[3,1,2,1,3,1,2,2]],[[2,2,1,-3,2,-2]]],[[[1,2],[3,1,1,1,2,-4,1,1,3,1]],[[
1,1,2,3,1,2,2,1]]],[[[1,2],[1,1,2,2],[4,1,3,1,4,1,3,1]],[[1,2],[3,1,2,-1,1,1,
2,1,1,-1,2,-1,3,-1]],[[1,2],[1,1,2,-2],[4,1,3,1,4,1,3,1]]],[[[2,1,1,1],[3,1,2,
-1,1,-3,2,1,3,-1]],[[1,2],[1,1,2,-1,3,-1,1,1,2,1,3,-1]],[[1,2],[3,-1,1,1,2,2,
1,-1,2,-1]]],[[[1,2],[1,1,2,2],[3,1,4,1,3,1,4,1]],[[2,1,1,-1,2,1,1,2,2,
2]]],[[[2,1,1,-1,2,-1,1,1,2,1,1,-2,2,1,1,-1]],[[1,2],[3,1,2,-1,1,-1,3,-1,2,1,
3,-1]],[[1,1,2,-4,1,-1]]],[[[1,2],[1,1,2,1],[4,1,3,-1,2,1,3,1,4,1]],[[2,1,1,
-1,2,1,1,1,2,1,1,2,2,-1]]],[[[2,1,1,-1,2,2,1,1,2,-1]],[[1,1,2,-1,1,1,2,
1]]],[[[1,2],[1,1,2,1],[3,1,2,1,4,2,3,-1,2,-1]],[[1,2],[3,1,2,-1,3,1,2,1,3,
-1]],[[1,1,2,1],[2,1,3,2,1,1]]],[[[2,1,1,1],[3,1,2,-1,1,-3,2,1,3,-1]],[[1,2],[
3,1,2,-1,1,1,2,2,3,-1]],[[1,2],[3,1,2,1,1,1,2,-2,3,-1]]],[[[1,1,2,1],[3,2,2,1,
3,1,1,2,2,1]],[[1,1,2,1],[2,1,3,2,1,1]],[[1,1,2,1],[2,1,3,1],[3,1,4,1,1,2,4,
1]]],[[[1,1,2,1],[1,2,2,1,3,2,2,1]],[[2,1,1,1,2,2,1,-1,2,-1,1,2]],[[1,1,2,1,1,
1,2,1]]],[[[1,2],[1,1,2,1],[2,1,4,-2,3,1,2,-1,3,1]],[[1,2],[2,1,3,1],[1,1,2,1,
4,-1,3,1,4,1]],[[1,1,2,-1,1,1,2,-1,1,1,2,-1]]],[[[1,2],[3,1,2,1,1,-1,2,-1,3,1,
2,-1,3,1]],[[1,1,2,1],[2,2,3,2,1,1,2,-1]],[[1,2],[2,1,3,1],[1,1,2,1,4,-1,3,1,
4,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,2,4,1]],[[1,2],[3,-1,2,1,1,1,2,1,3,
-1,2,-1]]],[[[1,1,2,1],[3,1,2,1,1,-1,2,-1,3,1,1,2,2,-1]],[[1,2],[1,1,2,2],[4,
1,3,1,4,1,3,1]]],[[[1,1,2,1],[3,1,2,1,1,-1,2,-1,3,1,1,2,2,-1]],[[1,1,2,1],[3,
1,1,-1,2,-1,1,2,3,-1]],[[1,1,2,-1,1,1,2,-1,1,1,2,-1]]],[[[1,2],[3,1,1,1,2,-4,
1,1,3,1]],[[2,1,1,1],[3,1,2,-1,1,1,2,1,3,1]]],[[[1,2],[2,1,1,-1,2,-1,3,-1,2,
-1,1,-1,2,1,3,-1]],[[1,2,2,1,1,-2,2,-3,1,-1]]],[[[1,2],[3,1,1,1,2,-4,1,1,3,
1]],[[1,1,2,1],[2,1,3,-2,2,2,1,2]]],[[[1,1,2,1],[2,1,1,2],[4,1,3,1,4,1,3,
1]],[[1,2],[2,1,1,-1,2,1,3,1,1,1,2,1,3,-1]]],[[[1,2],[3,1,2,1,1,1,2,1,3,1,2,
2]],[[1,1,2,-1,1,1,2,-1,1,1,2,-1]]],[[[1,1,2,1],[1,2,2,-1,3,-1,2,1,1,1,2,-1,3,
-1]],[[2,-4]]],[[[1,2],[1,1,2,2],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[1,2,3,-1,2,-1,
3,1,1,1]]],[[[2,2,1,1,2,1,1,-2,2,1,1,-1,2,-1]],[[2,1,1,-2,2,-1,1,-1,2,1,1,
-1]]],[[[1,2],[3,1,2,1,1,1,2,-1,3,-1,2,-1,1,-1,2,-1]],[[1,2],[2,2],[4,1,3,1,4,
1,3,-1]]],[[[1,1,2,1],[1,2,3,1,1,-1,2,-2,3,-1]],[[1,1,2,-1,1,1,2,2,1,-1,2,
1]]],[[[1,2],[1,1,2,2],[3,1,4,1,3,1,4,1]],[[2,1,1,-1,2,-1,1,1,2,-2]]],[[[1,
2],[2,1,1,1,2,1,3,-1,2,1,3,-1],[4,1,2,-1,1,-1,2,-2,1,-2,4,2]],[[1,2,2,2,1,1,2,
1],[3,-2]],[[1,2],[2,1,1,1,2,1,3,-1,2,1,3,-1],[1,2,2,2,1,1,2,1,4,-3]]],[[[2,1,
1,-1,2,3,1,1]],[[2,2,1,-1,2,1,1,1,2,1]]],[[[1,2],[1,1,2,-2,3,-1,2,-1,1,-1,3,
-1,2,-1]],[[1,2],[1,1,2,1],[4,1,3,-1,2,-1,3,1,2,1,4,1]]],[[[1,1,2,1],[2,1,1,
-1,2,1,1,-2,3,1,2,1,3,1]],[[1,2],[3,1,2,-1,1,1,2,-1,3,1,2,1]]],[[[1,2,2,1,1,
-1,2,3,1,2,2,1]],[[1,2],[2,2],[3,1,4,-2,3,-1]]],[[[1,2],[2,1,1,1,2,1,3,-1,2,1,
3,-1],[1,2,2,2,1,1,2,1,4,-3]],[[1,2,2,2,1,1,2,1],[3,-2]],[[1,2],[2,1,1,1,2,1,
3,-1,2,1,3,-1],[1,1,2,2],[5,2,1,2],[4,1,6,1,4,1]]],[[[1,2],[1,1,2,1],[3,1,4,1,
2,1,3,1,2,1,4,1]],[[1,2],[1,1,2,1],[4,1,3,-1,2,-1,3,1,2,1,4,1]]],[[[1,2],[2,1,
1,1,2,1,3,-1,2,1,3,-1],[1,2,2,2,1,1,2,1],[4,-1,5,-2,4,1]],[[2,-1,1,-1,2,-2,1,
-2]],[[1,2],[2,1,1,1,2,1,3,-1,2,1,3,-1],[1,1,2,2],[5,2,1,2],[4,1,6,1,4,
1]]],[[[1,1,2,1,1,-1,2,-2,1,1,2,-2,1,2]],[[2,1,1,-1,2,2,1,-2]]],[[[1,2],[1,1,
2,2],[4,1,3,1,4,1,3,1]],[[2,1,1,-1,2,3,1,1]]],[[[1,2],[1,1,2,-2],[4,1,3,1,4,1,
3,1]],[[1,2],[2,2],[3,1,4,-2,3,-1]]],[[[1,2],[3,1,2,2,1,1,3,1,2,-1,3,1]],[[1,
1,2,-1,1,-3,2,1,1,-1]]],[[[1,2],[3,1,2,-1,1,-1,2,-1,3,1,2,1,3,1]],[[1,2],[3,1,
1,1,2,1,3,-1,2,-1]]],[[[1,2],[1,1,2,-2,3,-1,2,1,3,1,1,1,2,1]],[[1,2],[2,1,1,
-1,2,-1],[3,1,4,1,3,-1,4,-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,1,1,2,-1,3,1],[4,
3]],[[1,2],[3,1,2,1,3,-1,2,2,1,2,2,1],[1,2],[1,1,2,1,5,1,2,1,5,1,2,2,1,1],[6,
1,4,1]],[[1,2],[1,1,2,1,3,1,2,1,3,1,2,2,1,1],[4,1,1,1,2,-1,1,1,2,-1,1,1,2,
-1]]],[[[1,2],[3,1,2,1,3,-1,2,2,1,2,2,1],[1,1,2,1],[5,1,1,-1,2,-1,1,1,2,-1,5,
1],[4,-1,6,2]],[[1,1,2,1],[3,1,1,-1,2,-1,1,1,2,-1,3,1],[1,1,2,-1,1,1,2,-1,1,1,
2,-1,4,-1]],[[1,2],[3,1,2,1,3,-1,2,2,1,2,2,1],[1,2],[1,1,2,1,5,1,2,1,5,1,2,2,
1,1],[6,1,4,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,1,1,2,-1,3,1],[4,1],[1,1,2,-1,1,1,
2,-1,1,1,2,-1,5,2]],[[1,1,2,1],[3,1,1,-1,2,-1,1,1,2,-1,3,1],[1,2],[1,1,2,1,5,
1,2,1,5,1,2,2,1,1],[6,1,4,-1]],[[1,2],[3,1,2,1,3,-1,2,2,1,2,2,1],[1,1,2,1],[5,
1,1,-1,2,-1,1,1,2,-1,5,1],[6,1,4,1]]],[[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,
2,-2,4,1,2,1,1,-1],[3,2,5,1,3,1,5,-1]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,
2,-2,4,1,2,1,1,-1],[3,-1,5,1,3,-1]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,
-2,4,1,2,1,1,-1],[5,1,3,-2,5,1,3,1]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,
-2,4,1,2,1,1,-1],[3,1,5,2,3,1]]],[[[1,2],[3,1,2,1,3,-1,2,2,1,2,2,1],[1,1,2,
1],[5,1,1,-1,2,-1,1,1,2,-1,5,1],[4,-1,6,2]],[[1,1,2,1],[3,1,1,-1,2,-1,1,1,2,
-1,3,1],[1,2],[1,1,2,1,5,1,2,1,5,1,2,2,1,1],[6,1,4,-1]],[[1,2],[3,1,2,1,3,-1,
2,2,1,2,2,1],[1,1,2,-1,1,1,2,-1,1,1,2,-1,4,1]]],[[[1,2],[3,1,2,1,3,-1,2,2,1,2,
2,1],[1,1,2,1],[5,1,1,-1,2,-1,1,1,2,-1,5,1],[4,1,6,1,4,-1]],[[1,1,2,1],[3,1,1,
-1,2,-1,1,1,2,-1,3,1],[1,1,2,-1,1,1,2,-1,1,1,2,-1,4,-1]],[[1,1,2,1],[3,1,1,-1,
2,-1,1,1,2,-1,3,1],[1,2],[1,1,2,1,5,1,2,1,5,1,2,2,1,1],[4,1,6,-1]]],[[[1,2],[
3,1,2,1,3,-1,2,2,1,2,2,1],[1,1,2,1],[5,1,1,-1,2,-1,1,1,2,-1,5,1],[6,1,4,-1,6,
1]],[[1,2],[3,1,2,1,3,-1,2,2,1,2,2,1],[1,1,2,1],[5,1,1,-1,2,-1,1,1,2,-1,5,1],[
6,1,4,1]],[[1,2],[1,1,2,1,3,1,2,1,3,1,2,2,1,1],[4,1,1,1,2,-1,1,1,2,-1,1,1,2,
-1]]],[[[2,1,1,-1,2,-1,1,2,2,-1,1,-1,2,-1],[2,1,1,2,2,-1,1,1,2,-1],[3,1,4,2,3,
1,4,-1]],[[2,1,1,-1,2,-1,1,2,2,-1,1,-1,2,-1],[3,-2,2,1,1,-1,2,1,1,-2,2,-1]],[[
2,1,1,-1,2,-1,1,2,2,-1,1,-1,2,-1],[2,1,1,2,2,-1,1,1,2,-1],[3,1,4,-1,3,-1,4,
1]],[[2,1,1,2,2,-1,1,1,2,-1],[3,-3]]],[[[1,2],[3,1,2,1,3,-1,2,2,1,2,2,1],[1,1,
2,-1,1,1,2,-1,1,1,2,-1,4,1]],[[1,1,2,1],[3,1,1,-1,2,-1,1,1,2,-1,3,1],[4,1,1,1,
2,-1,1,1,2,-1,1,1,2,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,1,1,2,-1,3,1],[1,2],[1,1,2,
1,5,1,2,1,5,1,2,2,1,1],[6,1,4,-1]]],[[[1,2],[3,1,2,1,3,-1,2,2,1,2,2,1],[1,2],[
1,1,2,1,5,1,2,1,5,1,2,2,1,1],[4,-2,6,1]],[[1,1,2,1],[3,1,1,-1,2,-1,1,1,2,-1,3,
1],[1,2],[1,1,2,1,5,1,2,1,5,1,2,2,1,1],[6,1,4,-1]],[[1,2],[3,1,2,1,3,-1,2,2,1,
2,2,1],[1,1,2,-1,1,1,2,-1,1,1,2,-1,4,1]]],[[[1,1,2,1],[3,2,2,1,1,2,2,1,1,-1,2,
-1]],[[1,2],[2,2,1,1],[4,1,3,1,4,1,3,1]],[[1,2],[3,1,2,2,1,1,2,-1,3,-1,2,-1,1,
-1]]],[[[1,2],[2,2],[3,1,4,-2,3,-1],[2,1,1,1,2,2,1,-1,2,-1],[6,-2],[7,1,5,1,6,
-2,5,1,7,1]],[[1,2],[2,2],[3,1,4,-2,3,-1],[2,1,1,1,2,2,1,-1,2,-1],[5,1,6,1],[
6,1,5,1,6,-1,7,-2]],[[1,2],[2,2],[3,1,4,-2,3,-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,
1,1,2,-1,3,1],[4,3]],[[1,1,2,1],[3,1,1,-1,2,-1,1,1,2,-1,3,1],[4,1,1,1,2,-1,1,
1,2,-1,1,1,2,-1]],[[1,2],[3,1,2,1,3,-1,2,2,1,2,2,1],[1,2],[1,1,2,1,5,1,2,1,5,
1,2,2,1,1],[6,1,4,1]]],[[[1,2],[2,2,1,1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,3,
1,2,2,1,1,3,-1]],[[1,1,2,1],[3,1,2,2,1,-1,2,-1,3,1]]],[[[1,1,2,2,1,-1,2,-1,1,
1,2,-2,1,2]],[[1,2],[3,1,2,1,1,1,2,1,3,1,2,2,1,1]],[[1,1,2,1],[1,2,2,-1,3,-1,
2,1,3,2]]],[[[1,2],[3,1,2,-2,3,1,2,1,1,-1],[4,1,2,2,1,1,2,1,1,1,2,1,1,2,4,
-2]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[5,1,3,-1,5,1,3,
1]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,-1,3,1,5,
-1]]],[[[1,2],[1,1,2,-2],[4,1,3,1,4,1,3,1]],[[1,2],[2,1,3,1,1,1,2,1,3,1,2,1,3,
-1]]],[[[1,1,2,1],[2,1,3,1,1,2,2,1,1,-1,2,-1,3,1]],[[1,2],[1,1,2,1],[4,1,3,-1,
2,-1,4,1,2,1,3,-1]]],[[[1,1,2,1],[2,2,1,1,3,-1,2,1,3,1,1,2]],[[1,2],[2,1,1,1,
2,-1,3,-1,2,-1,1,1,2,1]]],[[[1,1,2,1],[2,2,1,1,3,-1,2,1,3,1,1,2]],[[1,1,2,1],[
2,1,3,1,2,1,1,2,3,1]]],[[[1,1,2,-2,1,-3,2,3,1,1]],[[2,1,1,-1,2,2,1,-2]]],[[[1,
2],[1,1,2,2],[3,1,4,1,3,1,4,1]],[[2,1,1,1,2,-1,1,-3,2,1,1,-1]]],[[[2,1,1,-1,2,
-1],[3,1,1,1,2,1,3,-1]],[[1,2],[2,-1,3,1,1,1,2,1]]],[[[1,2],[2,1,1,1],[3,1,2,
1,4,-2,2,-1,3,-1]],[[1,-1,2,1,1,-1,2,1,1,2]],[[1,2],[3,1,2,-1,1,1,2,-1,3,1,2,
1]]],[[[1,2],[2,1,3,1,1,1,2,1,3,1,2,-1,3,1]],[[2,1,1,1,2,-1,1,-2,2,-1,1,-1,2,
-2]]],[[[2,1,1,-1,2,1,1,2,2,2,1,1,2,-1,1,-1]],[[1,2],[1,1,2,2,1,-1,2,-1,3,1,2,
-1,3,-1]]],[[[1,2],[1,1,2,1,3,1,2,2,1,-1,2,1,3,1]],[[1,1,2,-2,1,-2,2,-1,1,-2,
2,-2]]],[[[1,2],[1,1,2,2],[4,1,3,1,4,1,3,1]],[[1,2],[2,1,1,-1,2,-1,3,1,2,1,3,
1]]],[[[1,1,2,1],[1,2,2,-1,3,-1,2,1,3,2]],[[1,1,2,-4,1,-1]]],[[[1,2],[1,1,2,
1],[2,1,3,1,4,2,3,1,2,1]],[[1,2,2,1,1,-1,2,2]]],[[[1,2],[3,1,2,1,1,-1,2,1,1,
-1,2,1,3,-1]],[[1,1,2,1],[3,1,2,1,3,1,2,2,1,1]]],[[[1,2],[3,1,2,1,1,1,2,1,3,1,
2,-1,3,1]],[[1,1,2,-1,1,-1,2,-1]]],[[[1,1,2,1],[1,2,3,1,2,1,3,1,1,1,2,-1]],[[
1,2],[3,-1,2,1,1,1,2,2]],[[1,-1,2,1,1,1,2,-1,1,2]]],[[[2,2,1,1,2,1,1,1,2,1,1,
2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,-1,3,-1,5,1]],[[1,2],[3,1,2,-2,3,1,2,
1,1,-1],[2,2,1,1,2,1,1,1,2,1,1,2,4,1]]],[[[1,1,2,1],[1,1,2,-2,1,2,3,1,2,1,3,
1]],[[1,2],[3,-1,2,-2,1,1,2,-1,3,-1]]],[[[1,2],[1,1,2,1],[3,1,2,1,4,2,3,-1,2,
-1]],[[1,2],[2,1,1,1],[2,1,4,-1,3,-1,4,1,2,-1,3,1]],[[1,2,2,-1,1,1,2,-1,1,1,2,
-1,1,-1]]],[[[1,2],[3,1,2,2,1,2,2,1,3,-1,2,-1]],[[1,2],[1,1,2,-2],[4,1,3,1,4,
1,3,1]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-2,1,-2]],[[1,2],[2,1,1,1],[4,1,2,-1,3,1,
2,1,4,-1,3,-1]]],[[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,
1,5,-1,3,-1,5,1]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[5,
2,3,2]]],[[[1,1,2,1],[2,1,1,2,3,2,2,2,1,1]],[[2,2,1,1,2,1,1,2]]],[[[1,2],[1,1,
2,1],[4,1,2,1,3,1,2,1,4,1,3,1]],[[1,2],[3,1,2,1],[3,1,4,2]]],[[[1,2],[3,1,1,1,
2,-4,1,1,3,1]],[[1,2],[2,1,1,1],[2,1,4,-1,3,-1,4,1,2,-1,3,1]],[[1,2],[1,1,2,2,
1,-1,2,-1,3,1,2,-1,3,-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,1,1,2,-1,3,1],[4,2]],[[
1,2],[3,1,2,1,3,-1,2,2,1,2,2,1]]],[[[1,2],[3,1,1,1,2,-1,3,1,2,2]],[[2,1,1,-1,
2,2,1,-2]]],[[[1,2],[1,1,2,2],[3,1,4,1,3,1,4,1]],[[2,2,1,1],[3,1,1,2,3,
1]]],[[[1,2],[3,1,1,1,2,-2,3,1,2,-1,3,-1]],[[1,2],[2,1,1,-1,2,1,3,-1,2,
1]]],[[[1,2],[2,1,1,1],[4,1,2,-1,3,-1,2,1,4,-1,3,1]],[[2,1,1,2,2,1,1,2,2,
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2,-1,3,-1,2,-1,4,-1]],[[1,-3,2,2,1,1]]],[[[1,2],[3,1,2,1,1,-1,2,2,3,1]],[[1,
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-1]],[[1,2],[3,1,2,-1,3,1,2,1,1,-1,2,-1,1,1,2,1]]],[[[1,2],[3,1,2,1,1,1,2,1,3,
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1],[4,1,3,-1,4,1,3,1,4,1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[4,1,3,1,4,1,
3,1]],[[1,1,2,2,1,2,2,-2],[1,2,2,1,1,1,2,3,3,-3]],[[1,2,2,1,1,1,2,3],[3,2],[4,
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1,3,1,4,-1,3,-3,4,1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[4,1,3,1,4,-1,3,
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2,2,1,2,2,-2],[3,2],[5,1,4,-1,5,1,4,-1,5,-1]]],[[[1,2],[1,1,2,1],[4,2,3,1,2,1,
3,1]],[[1,1,2,1,1,1,2,-1,1,2,2,1,1,-1,2,1]],[[2,1,1,1,2,-1,1,-2,2,2,1,1,2,
1]]],[[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[5,1,3,2,5,-1,
3,-2]],[[1,2],[3,1,2,-2,3,1,2,1,1,-1],[4,1,1,-2,2,-1,1,-1,2,-1,1,-1,2,-2,4,
1]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,-3,3,
-1]],[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,2,5,-1,3,-1,
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3,1]],[[1,2],[2,2],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,3,2,1,1]],[[1,1,2,1],[2,2,
3,2,1,1,2,-1]]],[[[1,1,2,1],[2,2,1,1,3,-1,2,1,3,1,1,2]],[[1,1,2,1],[2,1,3,2,1,
1]],[[1,1,2,1],[2,1,3,1,1,2,2,2,1,1,3,-1]],[[1,1,2,1],[2,2,3,2,1,1,2,-1]]],[[[
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1,2,3],[3,2],[4,-1,1,1,2,2,1,2,2,-2,4,1,3,1]],[[1,1,2,2,1,2,2,-2],[1,2,2,1,1,
1,2,3,3,-3]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[4,1,3,1,4,-1,3,-2,4,
-1]]],[[[1,2,2,1,1,1,2,3],[2,1,1,-2,2,1,1,-1,2,1],[3,2,4,-1,3,-1,4,1,3,-1,4,
-1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,1,4,1,3,1,4,1]],[[1,2,2,1,1,1,2,
3],[1,1,2,2,1,2,2,-2],[4,1,3,2,4,-1,3,-1,4,1,3,-1,4,-1]],[[1,2,2,1,1,1,2,3],[
1,1,2,2,1,2,2,-2],[3,2],[5,1,4,-1,5,1,3,1,4,2]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,
2,2,-2],[4,1,3,-1,4,2,3,1,4,-1,3,1,4,1]]],[[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,
-2],[3,2,4,1,3,1,4,2]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,2],[4,1,5,-1,
4,1,5,1]],[[1,1,2,2,1,2,2,-2],[1,2,2,1,1,1,2,3,3,-3]],[[1,2,2,1,1,1,2,3],[2,1,
1,-2,2,1,1,-1,2,1],[4,1,3,-1,4,-1,3,1,4,1]]],[[[1,2,2,1,1,1,2,3],[3,2],[4,-1,
1,1,2,2,1,2,2,-2,4,1,3,1]],[[1,2,2,1,1,1,2,3,1,1,2,2,1,2,2,-2]],[[1,2,2,1,1,1,
2,3],[2,1,1,-2,2,1,1,-1,2,1],[4,1,3,-1,4,-1,3,1,4,1]],[[1,2,2,1,1,1,2,3],[1,1,
2,2,1,2,2,-2],[4,1,3,1,4,1,3,1]]],[[[1,2,2,1,1,-1,2,3,1,2,2,1]],[[1,2],[2,1,3,
1],[1,1,2,1,4,-1,3,1,4,1]],[[1,2],[1,1,2,2],[3,1,4,1,3,1,4,1]],[[1,2],[1,1,2,
2],[3,1,4,-1,3,-1,4,-1]]],[[[1,2,2,1,1,1,2,3],[2,1,1,-2,2,1,1,-1,2,1],[4,1,3,
-1,4,-1,3,1,4,1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[4,1,3,1,4,1,3,1]],[[
1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[4,1,3,-1,4,2,3,1,4,-1]],[[1,1,2,2,1,2,2,
-2],[3,-4]]],[[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,2],[4,1,5,-1,4,1,5,
1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[4,1,3,1,4,-1,3,-2,4,-1]],[[1,2,2,1,
1,1,2,3,1,1,2,2,1,2,2,-2]],[[1,2,2,1,1,1,2,3],[2,1,1,-2,2,1,1,-1,2,1],[4,1,3,
-1,4,-1,3,1,4,1]]],[[[1,2],[1,1,2,1,3,1,2,1,1,-1,2,-2,3,-1]],[[1,1,2,1],[2,1,
1,1],[4,1,3,1,4,-1,3,-1]],[[1,1,2,1],[2,1,3,2,1,1]],[[1,2],[2,1,3,-1,2,-1,1,
-1,3,1,2,-1,3,1]]],[[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[4,1,3,-3,4,-1]],[[
1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,2,4,-2]],[[1,2,2,1,1,1,2,3],[3,1,2,1,1,
-2,2,1,1,-1,2,1,3,1]],[[1,1,2,2,1,2,2,-2],[3,-4]],[[1,2,2,1,1,1,2,3],[1,1,2,2,
1,2,2,-2],[3,1,4,-1,3,-1,4,1]]],[[[1,2,2,1,1,1,2,3],[2,1,1,-2,2,1,1,-1,2,1],[
4,1,3,1],[5,1,3,2,4,1,5,-1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,1,4,1],[
3,2,5,-1,4,-1,5,1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[4,2,3,2,4,-1]],[[1,
2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,1,4,1,3,1,4,1]]],[[[1,2],[2,1,3,1],[3,1,
4,1,1,1,2,1,4,-1]],[[1,2],[1,1,2,1],[3,1,2,-1,4,1,3,-1,4,-1]],[[2,-4]]],[[[1,
1,2,1],[2,1,3,1,1,2,2,2,1,1,3,-1]],[[2,1,1,1],[3,1,2,-1,1,-3,2,1,3,1]],[[1,
2],[2,2],[3,1,4,-2,3,-1]]],[[[1,1,2,1],[2,1,1,2,3,1,2,1,3,1]],[[1,2],[3,1,2,
-1,1,-1,3,-1,2,1,3,-1]],[[1,1,2,1],[3,2,2,1,3,1,2,1,1,1]]],[[[1,2,2,1,1,1,2,
3],[2,1,1,-2,2,1,1,-1,2,1],[4,1,3,1],[5,1,4,-1,3,-1,5,1]],[[1,1,2,2,1,2,2,
-2],[3,-4]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[4,1,3,-1,4,-1,3,-1,4,2]],[[
1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[4,1,3,-2,4,1,3,1]]],[[[1,1,2,1,1,-2,2,2,
1,1]],[[2,2,1,-3,2,-2]],[[1,1,2,-4,1,-1]]],[[[1,1,2,2,1,-1,2,1,1,-1,2,1,1,
-2]],[[1,1,2,1],[2,2,3,2,1,1,2,-1]],[[1,2],[3,1,2,-1,1,-1,3,-1,2,1,3,-1]]],[[[
1,1,2,1],[2,2,1,1,3,-1,2,1,3,1,1,2]],[[1,2],[1,1,2,1,3,1,2,1,1,-1,2,1,3,
-1]],[[1,2],[1,1,2,1],[4,1,2,1,4,1,3,-1,2,1]]],[[[1,2,2,1,1,1,2,3],[1,1,2,2,1,
2,2,-2],[4,1,3,-1,4,2,3,1,4,-1]],[[1,1,2,2,1,2,2,-2],[1,2,2,1,1,1,2,3,3,
-3]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,1,4,-1,3,-1,4,-1,3,-2]],[[1,2,2,
1,1,1,2,3],[2,1,1,-2,2,1,1,-1,2,1],[4,1,3,-1,4,-1,3,1,4,1]]],[[[1,2,2,1,1,1,2,
3],[2,1,1,-2,2,1,1,-1,2,1],[3,2,4,-1,3,-1,4,1,3,-1,4,-1]],[[1,2,2,1,1,1,2,3,1,
1,2,2,1,2,2,-2]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[4,1,3,1,4,1],[3,2,5,
2]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,2],[4,1,5,-1,4,1,5,1]]],[[[1,2],[
1,1,2,1],[4,1,3,-1,2,-1,3,1,2,1,4,1]],[[1,1,2,-4,1,-1]],[[1,2],[2,2],[3,1,4,
-2,3,-1]],[[1,1,2,1],[2,2,3,2,1,1,2,-1]]],[[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,
-2],[4,1,3,-2,4,1,3,1]],[[1,2,2,1,1,1,2,3],[3,1,2,-1,1,1,2,-1,1,2,2,-1,3,
1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[4,2,3,-2]]],[[[1,1,2,1],[2,2,1,1,3,
-1,2,1,3,1,1,2]],[[2,1,1,1],[3,1,2,-1,1,2,3,1,1,1,2,1]]],[[[1,2],[3,1,2,-1,3,
-1,2,2,1,1,2,1]],[[2,1,1,-1,2,1,1,-1,2,2,1,-1,2,-1]],[[1,1,2,1,1,1,2,-1,1,2,2,
-1,1,1,2,-1]]],[[[1,2],[3,1,2,1,1,-1,2,2,3,1]],[[2,1,1,-1,2,1,1,1,2,-1,1,
2]]],[[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[4,1,3,-1,4,-1,3,-3]],[[1,2,2,1,1,
1,2,3],[1,1,2,2,1,2,2,-2],[4,1,3,-3,4,-1]],[[1,2,2,1,1,1,2,3],[3,1,2,1,1,-2,2,
1,1,-1,2,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,-1,3,-1]],[[1,1,2,1],[
3,1,1,1,2,1,3,1]],[[1,1,2,1],[2,1,3,2,1,1]],[[1,1,2,1],[2,2,3,2,1,1,2,
-1]]],[[[2,1,1,-2,2,1,1,-1,2,1],[1,2,2,1,1,1,2,3,3,-1],[3,1,4,-2]],[[1,1,2,2,
1,2,2,-2],[3,1,2,-1,1,1,2,-1,1,2,2,-1,3,2]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,
-2],[3,2,4,-2]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[4,1,3,-3,4,-1]]],[[[1,
2],[2,1,1,1,2,-1,3,-1,2,-1,1,1,2,1]],[[1,2],[3,1,2,1,1,1,3,1,2,-1,3,-1]],[[2,
2,1,-1,2,2,1,2,2,1]]],[[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[4,1,3,-3,4,
-1]],[[1,2,2,1,1,1,2,3,1,1,2,2,1,2,2,-2]],[[1,2,2,1,1,1,2,3],[3,1,2,1,1,-2,2,
1,1,-1,2,1,3,1]]],[[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[4,1,3,-1,4,2,3,1,4,
-1]],[[1,2,2,1,1,1,2,3,1,1,2,2,1,2,2,-2]],[[1,1,2,2,1,2,2,-2],[3,-4]],[[1,2,2,
1,1,1,2,3],[1,1,2,2,1,2,2,-2],[4,1,3,1,4,1,3,1]]],[[[1,2,2,1,1,1,2,3],[2,1,1,
-2,2,1,1,-1,2,1],[4,1,3,1,4,1,3,-1,4,-1,3,-1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,
2,2,-2],[3,2,4,1,3,1,4,2]],[[1,1,2,2,1,2,2,-2],[1,2,2,1,1,1,2,3,3,-3]]],[[[1,
2],[2,1,1,1],[3,1,2,1,4,2,2,-1,3,1]],[[1,2],[1,1,2,1],[3,-1,2,1,4,1,2,1,4,
1]],[[1,1,2,-1],[3,1,2,-1,1,-3,2,1,3,-1]]],[[[1,1,2,1],[2,1,3,1,1,-3,2,-1,3,
1]],[[2,1,1,1],[2,1,3,1,1,1,2,1,3,-1,1,-2]]],[[[1,2],[1,1,2,1],[3,1,4,-1,2,1,
4,1,3,1]],[[2,1,1,-1,2,-1,1,-1,2,-1,1,-2]]],[[[1,2],[1,1,2,1],[4,1,3,-1,2,-1,
3,1,2,1,4,1]],[[1,2],[2,2],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,2,1,1,3,-1,2,1,3,1,
1,2]],[[1,1,2,1],[2,2,3,2,1,1,2,-1]]],[[[1,2],[3,1,2,1,3,-1,2,2,1,2,2,1],[1,1,
2,1],[5,1,1,-1,2,-1,1,1,2,-1,5,1],[4,1,6,2]],[[1,2],[3,1,2,1,3,-1,2,2,1,2,2,
1],[1,1,2,1],[5,1,1,-1,2,-1,1,1,2,-1,5,1],[6,1,4,1]],[[1,1,2,-1,1,1,2,-1,1,1,
2,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,1,1,2,-1,3,1],[1,2],[1,1,2,1,5,1,2,1,5,1,2,2,
1,1],[6,1,4,1]]],[[[1,2,2,1,1,1,2,3],[2,1,1,-2,2,1,1,-1,2,1],[4,1,3,1,4,-1,3,
-1,4,1,3,-1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,1,4,1],[5,1,4,1,5,1,3,
-2]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[4,2,3,2,4,-1]]],[[[1,2],[3,1,2,1,
1,1,2,1,3,1,2,1,1,1]],[[1,2],[3,1,2,1,1,1,3,1,2,-1,3,-1]],[[2,2,1,-3,2,
-2]]],[[[1,2],[1,1,2,1],[4,2,3,1,2,1,3,1]],[[2,1,1,1],[3,1,2,-1,1,-1,2,1,3,1,
1,2]]],[[[1,2],[3,1,1,1,2,-1,3,1,2,1]],[[1,1,2,-1,1,2,2,1,1,-1,2,1]]],[[[1,2,
2,1,1,1,2,3],[2,1,1,-2,2,1,1,-1,2,1],[4,1,3,1,4,-1,3,-1,4,1,3,-1]],[[1,2,2,1,
1,1,2,3],[1,1,2,2,1,2,2,-2],[4,1,3,-2,4,2]],[[1,2,2,1,1,1,2,3],[3,2],[4,-1,1,
1,2,2,1,2,2,-2]]],[[[1,2],[3,1,2,-1,3,1,1,1,2,1]],[[2,1,1,-1,2,-1,1,-1,2,-1,1,
-2]]],[[[1,1,2,1],[2,2,1,1,3,-1,2,1,3,1,1,2]],[[1,2],[3,1,2,1,1,1,3,1,2,-1,3,
-1]],[[1,1,2,1,1,2,2,2]]],[[[1,2],[1,1,2,1,3,1,2,-1,3,1]],[[2,1,1,1,2,1,1,2,2,
1]]],[[[1,2,2,1,1,1,2,3],[2,1,1,-2,2,1,1,-1,2,1],[4,1,3,1,4,1,3,-1,4,-1,3,
-1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[4,1,3,-1,4,1,3,-1,4,-2]],[[1,2,2,
1,1,1,2,3],[1,1,2,2,1,2,2,-2],[4,1,3,1,4,1,3,1]]],[[[1,2,2,1,1,1,2,3],[1,1,2,
2,1,2,2,-2],[4,1,3,-2,4,1,3,1]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[3,2,4,
-2]],[[1,2,2,1,1,1,2,3],[1,1,2,2,1,2,2,-2],[4,1,3,1,4,1,3,1]]],[[[1,2],[3,1,2,
-1,1,1,2,-1,3,1,2,-1,1,-1,2,-1]],[[1,1,2,1],[2,2,3,2,1,2,2,1]]],[[[1,2],[1,1,
2,2],[3,1,4,1,3,1,4,1]],[[2,1,1,1],[2,1,3,1,1,1,2,1,1,2,3,1]]],[[[1,2],[3,1,2,
-1,3,-1,1,1,2,2,1,-1,2,-1]],[[1,2],[3,1,2,1,1,-1,2,-1,3,1,2,-1,1,-1]],[[1,2],[
1,1,2,1],[4,1,3,-1,2,-1,3,1,2,1,4,1]]],[[[1,2],[1,1,2,1],[3,1,2,1,4,2,3,-1,2,
-1]],[[2,1,1,1],[3,1,2,-1,1,-3,2,1,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,4,-1,
3,-1]]],[[[1,2],[2,1,3,1,2,-2,3,-1]],[[2,-4]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,
4,-1,3,-1]],[[1,2],[3,1,2,-1,3,1,1,1,2,1]]],[[[1,1,2,1],[3,1,2,1,3,1,1,2,3,1,
2,1]],[[1,-3]],[[1,2,2,1,1,-1,2,1,1,-1,2,1]]],[[[2,1,1,-1,2,-1,1,2,2,1,1,1,2,
1]],[[1,2],[2,1,3,-1,2,1,1,1,2,1,3,1]]],[[[2,2,1,1,2,1,1,1,2,1,1,2],[1,2],[4,
1,2,-2,4,1,2,1,1,-1],[3,1,5,1,3,2]],[[1,2],[3,1,2,-2,3,1,2,1,1,-1],[4,
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1,2,1,1,2],[1,2],[4,1,2,-2,4,1,2,1,1,-1],[3,1,5,-1,3,-2]],[[1,2],[3,1,2,-2,3,
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1,1],[4,1,2,-1,3,-1,2,1,4,-1,3,1]],[[1,2],[3,1,2,-1,1,1,2,-1,3,1,2,1,3,1]],[[
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1,4,1,3,1]],[[1,2],[1,1,2,-1,3,-1,2,-2,3,-1]]],[[[1,2],[1,1,2,1],[3,1,2,1,4,2,
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1,1,2,1],[3,2,1,-2]],[[1,1,2,1],[2,1,1,2],[4,1,3,1,4,1,3,1]]],[[[1,1,2,1],[1,
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1],[1,2,3,-2]],[[1,1,2,3,1,-1,2,-1]]],[[[1,2],[2,1,1,-1,2,-1],[3,1,4,1,3,-1,4,
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-1,2,1]],[[1,1,2,1,1,-1,2,-1]]],[[[2,-4]],[[1,1,2,-1,1,-1,2,1]],[[2,1,1,-1,2,
1,1,1]]],[[[1,1,2,-1],[1,2,3,-2]],[[1,1,2,1,1,-1,2,-1]],[[1,1,2,-4,1,-1]]],[[[
1,-3,2,3]],[[2,1,1,-2,2,1]],[[2,1,1,-1,2,-1,1,1]]],[[[2,1,1,2,2,1,1,1,2,
-1]],[[2,1,1,1,2,-1,1,-1]],[[2,-4]]],[[[1,2],[3,-1,2,2,3,1]],[[1,1,2,1],[3,1,
1,-2,3,1]],[[2,1,1,-1,2,-1,1,1]]],[[[1,1,2,-2,1,2,2,-1]],[[2,1,1,-1,2,-1,1,
1]],[[2,2,1,-1,2,-1,1,-1,2,-1]],[[1,2,2,-2,1,1,2,1]]],[[[2,1,1,1,2,1]],[[1,1,
2,1,1,1]]],[[[2,1,1,-3,2,-2]],[[2,1,1,1,2,2,1,-1]],[[1,2]]],[[[1,2],[2,1,1,1,
2,1,3,1,2,-1,3,-1]],[[2,-2]]],[[[2,1,1,1,2,-2,1,-2]],[[2,1,1,-1,2,1,1,1]]],[[[
1,1,2,-1,1,1,2,-1]],[[1,2,2,2]],[[2,1,1,-1,2,-1,1,1]]],[[[1,1,2,-1,1,-1,2,
1]],[[1,1,2,1,1,1,2,-1]],[[1,1,2,1,1,-1,2,-1]]],[[[1,1,2,-1,1,2]],[[1,-1,2,2,
1,1]],[[2,1,1,-1,2,-1,1,1]]],[[[1,-1,2,1,1,2]],[[2,1,1,-1,2,1,1,-1]],[[1,1,2,
-1,1,-1,2,1]]],[[[1,1,2,-2,1,1]],[[1,1,2,1,1,2]]],[[[1,2]],[[2,2]]],[[[2,1,1,
-1]],[[2,-2]],[[2,1,1,1]]],[[[1,-2]],[[2,1]]],[[[2,2]],[[1,-1]]],[[[1,1]],[[2,
1]]]]);
AFLT( "(A6xA6):2^2","A12", [ 1, 2, 2, 4, 4, 3, 3, 3, 5, 6, 6, 8, 7, 10, 17,
17, 19, 13, 14, 9, 22, 17, 16, 19, 24, 10, 22, 16, 19, 24, 13, 14, 11, 23,
21, 21, 12, 12, 15, 20, 25, 20, 20, 25, 25, 18, 26, 27, 27, 28, 38, 32, 28,
38, 32, 39, 40, 40, 29, 35, 41, 30, 41, 30, 42, 44, 29, 35, 31, 41, 30, 34,
37, 43, 36, 43, 33, 33, 43, 33, 70, 53, 75, 67, 78, 53, 75, 67, 78, 55, 72,
90, 54, 56, 85, 63, 99, 85, 85, 47, 69, 98, 112, 54, 56, 60, 105, 61, 50,
108, 64, 101, 47, 76, 70, 76, 57, 98, 112, 77, 75, 77, 73, 104, 52, 97, 67,
69, 69, 112, 110, 110, 56, 60, 105, 63, 99, 85, 85, 91, 78, 77, 91, 74, 59,
66, 55, 73, 74, 61, 88, 72, 104, 74, 88, 102, 87, 65, 62, 80, 106, 62, 80,
106, 92, 86, 100, 107, 79, 96, 107, 58, 89, 89, 49, 48, 109, 109, 83, 84,
83, 84, 68, 82, 81, 111, 111, 81, 95, 82, 111, 94, 113, 113, 115, 122, 115,
122, 119, 121, 120, 118, 120, 118, 118, 120, 116, 117, 131, 127, 128, 130,
129, 132, 130, 129, 132, 157, 162, 157, 162, 159, 146, 178, 147, 158, 183,
162, 147, 158, 183, 151, 160, 152, 180, 159, 160, 172, 174, 155, 167, 134,
136, 148, 139, 153, 185, 174, 171, 169, 179, 149, 182, 173, 181, 154, 155,
163, 167, 135, 138, 140, 164, 164, 168, 168, 137, 145, 142, 161, 170, 166,
177, 164, 165, 168, 156, 176, 175, 176, 176, 175, 175, 188, 189, 230, 286,
230, 286, 248, 229, 192, 287, 287, 225, 199, 250, 232, 232, 285, 287, 285,
254, 253, 203, 282, 308, 226, 199, 254, 198, 252, 202, 243, 310, 217, 250,
253, 252, 245, 236, 241, 280, 292, 280, 292, 194, 306, 274, 270, 266, 267,
220, 262, 294, 262, 295, 200, 251, 201, 255, 311, 249, 311, 274, 207, 315,
314, 237, 235, 204, 258, 265, 313, 312, 304, 326, 190, 209, 203, 284, 309,
286, 284, 309, 251, 205, 216, 248, 244, 208, 308, 227, 323, 285, 227, 323,
249, 212, 213, 283, 322, 254, 255, 240, 316, 320, 321, 253, 246, 282, 283,
231, 206, 211, 275, 275, 223, 223, 226, 281, 233, 215, 289, 198, 310, 202,
252, 217, 243, 255, 234, 218, 242, 240, 234, 242, 218, 320, 321, 316, 214,
214, 266, 267, 220, 220, 262, 295, 294, 324, 324, 245, 246, 238, 260, 261,
299, 298, 256, 259, 228, 257, 239, 263, 264, 300, 301, 297, 302, 296, 325,
332, 336, 333, 337, 332, 336, 333, 337, 350, 350, 365, 338, 350, 372, 342,
353, 353, 372, 356, 352, 368, 364, 341, 365, 349, 374, 354, 338, 342, 351,
353, 364, 349, 346, 369, 358, 358, 357, 348, 355, 347, 362, 363, 345, 373,
359, 339, 361, 360, 347, 363, 362, 373, 359, 345, 339, 360, 361, 358, 373,
359, 362, 345, 361, 360, 339, 347, 363, 367, 366, 344, 343, 381, 384, 383,
382, 387, 385, 388, 376, 377, 378, 379, 380, 386, 379, 386, 380, 441, 456,
494, 456, 494, 468, 451, 461, 499, 468, 467, 471, 502, 485, 461, 485, 437,
450, 446, 499, 446, 505, 449, 467, 436, 452, 487, 471, 452, 470, 496, 502,
487, 496, 481, 419, 425, 429, 417, 422, 459, 424, 393, 417, 396, 393, 396,
416, 394, 411, 488, 466, 447, 484, 454, 439, 457, 406, 413, 426, 421, 472,
448, 440, 490, 464, 445, 418, 428, 504, 495, 491, 483, 493, 501, 469, 503,
465, 459, 453, 498, 458, 460, 462, 492, 463, 444, 442, 500, 443, 507, 392,
397, 400, 395, 408, 415, 414, 403, 398, 402, 423, 401, 423, 401, 407, 427,
412, 430, 431, 405, 404, 410, 409, 473, 509, 510, 512, 512, 513, 511, 527,
531, 533, 529, 532, 534, 559, 640, 701, 640, 701, 638, 567, 639, 680, 638,
636, 632, 677, 585, 662, 627, 565, 554, 601, 535, 634, 634, 570, 637, 661,
700, 661, 700, 643, 622, 648, 544, 665, 586, 702, 637, 635, 573, 698, 538,
628, 572, 629, 633, 566, 696, 587, 678, 697, 645, 679, 569, 571, 575, 574,
620, 673, 552, 551, 536, 588, 631, 646, 630, 626, 644, 610, 611, 642, 616,
671, 654, 676, 715, 693, 639, 563, 560, 560, 586, 680, 568, 636, 572, 628,
632, 695, 677, 695, 702, 564, 602, 602, 635, 697, 678, 573, 699, 698, 699,
633, 660, 679, 659, 683, 684, 566, 696, 660, 545, 546, 593, 594, 664, 664,
597, 597, 583, 582, 596, 595, 569, 571, 548, 598, 575, 574, 711, 712, 711,
712, 683, 684, 600, 599, 600, 599, 710, 709, 773, 739, 773, 745, 776, 739,
745, 738, 757, 766, 740, 745, 777, 744, 744, 721, 721, 726, 762, 729, 772,
730, 763, 732, 774, 769, 766, 765, 764, 770, 778, 771, 775, 777, 749, 782,
747, 737, 742, 760, 757, 781, 746, 768, 718, 736, 719, 740, 743, 741, 744,
721, 727, 728, 731, 733, 756, 780, 750, 780, 756, 750, 748, 754, 767, 753,
752, 725, 751, 724, 779, 755, 754, 767, 779, 753, 751, 724, 725, 752, 755,
780, 756, 750, 767, 779, 753, 754, 752, 725, 751, 724, 755, 759, 758, 723,
723, 722, 722, 783, 793, 791, 786, 785, 784, 794, 788, 787, 790, 792, 789,
789, 801, 893, 893, 911, 870, 900, 900, 883, 871, 902, 916, 901, 902, 889,
901, 910, 813, 804, 807, 838, 844, 836, 869, 817, 861, 868, 830, 841, 803,
832, 863, 814, 851, 855, 830, 841, 831, 802, 826, 804, 840, 875, 841, 840,
875, 832, 811, 827, 831, 850, 818, 805, 821, 903, 891, 895, 904, 873, 894,
913, 849, 876, 843, 842, 845, 828, 806, 877, 812, 837, 829, 835, 846, 819,
872, 898, 912, 899, 833, 834, 847, 862, 897, 917, 896, 884, 859, 859, 854,
853, 848, 865, 866, 864, 867, 927, 926, 928, 928, 942, 929, 932, 942, 929,
937, 938, 946, 943, 940, 945, 945, 933, 933, 947, 943, 935, 936, 932, 940,
945, 933, 941, 948, 939, 944, 934, 944, 934, 934, 944, 969, 970, 967, 966,
968, 968, 971, 972, 979, 989, 991, 975, 977, 993, 990, 981, 1089, 1011,
1038, 997, 1088, 1088, 1058, 998, 1085, 1069, 1087, 1010, 1084, 1014, 1019,
1046, 1060, 1047, 1032, 1000, 1097, 1097, 1052, 1012, 1059, 1086, 1033,
1073, 1034, 1074, 1035, 1006, 1113, 1111, 1050, 1085, 1027, 1026, 1072,
1072, 1087, 1086, 1024, 1025, 1075, 1075, 1096, 1082, 1095, 1083, 1033,
1034, 1073, 1074, 1096, 1095, 1082, 1083, 1035, 1219, 1156, 1154, 1163,
1211, 1181, 1223, 1183, 1217, 1181, 1141, 1141, 1159, 1152, 1162, 1213,
1182, 1190, 1215, 1134, 1138, 1137, 1141, 1187, 1195, 1141, 1141, 1120,
1168, 1159, 1168, 1203, 1124, 1199, 1132, 1202, 1220, 1153, 1180, 1129,
1221, 1209, 1225, 1172, 1121, 1165, 1205, 1131, 1175, 1133, 1201, 1155,
1222, 1126, 1171, 1189, 1200, 1208, 1212, 1214, 1194, 1184, 1197, 1210,
1185, 1196, 1187, 1195, 1224, 1188, 1186, 1226, 1218, 1216, 1193, 1135,
1136, 1139, 1140, 1173, 1166, 1122, 1169, 1128, 1206, 1157, 1174, 1130,
1158, 1204, 1164, 1160, 1161, 1170, 1125, 1176, 1123, 1127, 1177, 1192,
1145, 1146, 1192, 1146, 1145, 1191, 1198, 1147, 1148, 1191, 1198, 1148,
1147, 1192, 1145, 1146, 1191, 1198, 1147, 1148, 1143, 1144, 1150, 1227,
1151, 1228, 1234, 1236, 1233, 1235, 1238, 1232, 1237, 1239, 1252, 1253,
1254, 1386, 1344, 1346, 1332, 1288, 1260, 1343, 1323, 1294, 1296, 1324,
1285, 1258, 1345, 1315, 1284, 1259, 1297, 1309, 1322, 1321, 1314, 1339,
1335, 1316, 1316, 1257, 1308, 1325, 1338, 1295, 1328, 1280, 1324, 1363,
1363, 1282, 1318, 1358, 1326, 1359, 1346, 1318, 1283, 1285, 1358, 1281,
1315, 1284, 1345, 1326, 1364, 1359, 1364, 1264, 1269, 1263, 1301, 1263,
1301, 1317, 1287, 1342, 1289, 1311, 1272, 1273, 1387, 1360, 1365, 1341,
1368, 1355, 1320, 1357, 1313, 1319, 1366, 1290, 1293, 1367, 1312, 1292,
1356, 1291, 1302, 1303, 1271, 1270, 1265, 1266, 1394, 1396, 1392, 1395,
1395, 1393, 1393, 1418, 1418, 1412, 1400, 1411, 1419, 1402, 1412, 1422,
1404, 1408, 1421, 1427, 1417, 1420, 1420, 1413, 1413, 1407, 1406, 1424,
1423, 1415, 1411, 1420, 1403, 1416, 1409, 1426, 1419, 1402, 1413, 1414,
1414, 1414, 1425, 1425, 1425, 1401, 1439, 1448, 1437, 1438, 1447, 1436,
1446, 1435, 1433, 1432, 1445, 1434, 1442, 1450, 1440, 1442, 1450, 1440,
1444, 1443, 1471, 1451, 1466, 1455, 1453, 1467, 1456, 1473, 1513, 1484,
1498, 1519, 1518, 1485, 1496, 1509, 1494, 1520, 1521, 1519, 1518, 1520,
1521, 1614, 1585, 1613, 1547, 1607, 1557, 1541, 1612, 1560, 1587, 1616,
1580, 1564, 1577, 1574, 1574, 1546, 1606, 1555, 1542, 1563, 1571, 1578,
1579, 1575, 1566, 1546, 1589, 1555, 1599, 1586, 1615, 1539, 1584, 1540,
1595, 1611, 1582, 1604, 1565, 1568, 1569, 1556, 1600, 1558, 1591, 1538,
1543, 1596, 1583, 1610, 1572, 1576, 1573, 1567, 1598, 1588, 1597, 1570,
1617, 1531, 1533, 1561, 1601, 1549, 1562, 1608, 1548, 1592, 1550, 1532,
1609, 1602, 1593, 1559, 1552, 1551, 1553, 1554, 1581, 1581, 1581, 1620,
1619, 1625, 1627, 1627, 1629, 1626, 1628, 1628, 1628, 1648, 1650, 1647,
1649, 1655, 1652, 1656, 1654, 1653, 1735, 1699, 1729, 1736, 1697, 1727,
1666, 1730, 1709, 1728, 1715, 1686, 1681, 1663, 1726, 1706, 1725, 1665,
1708, 1687, 1724, 1695, 1664, 1723, 1707, 1694, 1685, 1714, 1679, 1736,
1726, 1727, 1725, 1672, 1672, 1670, 1671, 1733, 1734, 1731, 1732, 1678,
1676, 1677, 1675, 1756, 1760, 1760, 1757, 1757, 1759, 1758, 1785, 1770,
1798, 1793, 1786, 1776, 1792, 1772, 1796, 1773, 1789, 1764, 1768, 1766,
1788, 1787, 1765, 1790, 1769, 1767, 1784, 1791, 1774, 1799, 1795, 1797,
1772, 1775, 1794, 1771, 1816, 1815, 1805, 1813, 1807, 1803, 1821, 1812,
1811, 1808, 1809, 1802, 1806, 1804, 1820, 1810, 1814, 1814, 1818, 1826,
1829, 1828, 1825, 1819, 1844, 1903, 1900, 1899, 1887, 1871, 1898, 1902,
1894, 1884, 1870, 1896, 1895, 1893, 1905, 1904, 1901, 1897, 1864, 1865,
1863, 1877, 1872, 1851, 1872, 1852, 1858, 1858, 1878, 1855, 1873, 1856,
1874, 1885, 1876, 1875, 1853, 1854, 1860, 1859, 1886, 1908, 1907, 1917,
1914, 1921, 1920, 1927, 1914, 1926, 1919, 1921, 1916, 1915, 1915, 1913,
1912, 1915, 1913, 1912, 1918, 1936, 1937, 1938, 1935, 1934, 1943, 1953,
1949, 1950, 1954, 1942, 1940, 1951, 1947, 1948, 1952, 1944, 1959, 1957,
1958, 1998, 1997, 1991, 1988, 2001, 2027, 2015, 2023, 2030, 2025, 2013,
2021, 2008, 2019, 2026, 2018, 2007, 2014, 2011, 2024, 2020, 2028, 2009,
2017, 2016, 2012, 2010, 2022, 2029, 2042, 2047, 2039, 2040, 2050, 2044,
2046, 2041, 2038, 2049, 2037, 2045, 2048, 2043, 2052, 2051, 2064, 2063,
2110, 2087, 2079, 2083, 2086, 2085, 2080, 2084, 2077, 2082, 2098, 2100,
2093, 2094, 2066, 2094, 2068, 2069, 2090, 2090, 2099, 2101, 2096, 2097,
2095, 2071, 2070, 2091, 2092, 2072, 2112, 2111, 2138, 2118, 2137, 2120,
2128, 2126, 2127, 2127, 2126, 2121, 2133, 2139, 2126, 2127, 2120, 2128,
2136, 2124, 2125, 2119, 2129, 2122, 2123, 2123, 2122, 2129, 2129, 2116,
2117, 2131, 2132, 2156, 2185, 2189, 2159, 2160, 2170, 2158, 2171, 2161,
2157, 2190, 2186, 2155, 2169, 2154, 2180, 2166, 2167, 2181, 2178, 2163,
2165, 2182, 2192, 2218, 2221, 2224, 2217, 2220, 2222, 2231, 2223, 2228,
2216, 2229, 2219, 2230, 2225, 2234, 2233, 2241, 2240, 2246, 2242, 2245,
2244, 2243, 2247, 2261, 2256, 2259, 2262, 2260, 2253, 2257, 2267, 2266,
2267, 2266, 2273, 2272, 2271, 2270, 2279, 2278, 2294, 2286, 2286, 2287,
2287, 2289, 2288, 2293, 2285, 2290, 2287, 2289, 2288, 2284, 2283, 2292,
2296, 2291, 2295, 2332, 2312, 2311, 2333, 2309, 2310, 2301, 2313, 2302,
2314, 2308, 2305, 2323, 2317, 2316, 2320, 2306, 2318, 2315, 2303, 2321,
2322, 2304, 2349, 2348, 2350, 2364, 2367, 2373, 2374, 2368, 2365, 2372,
2375, 2371, 2369, 2376, 2370, 2380, 2379, 2397, 2392, 2398, 2394, 2393,
2396, 2395, 2403, 2401, 2402, 2400, 2405, 2406, 2404, 2408, 2410, 2409,
2407, 2412, 2418, 2417, 2419, 2420, 2435, 2428, 2429, 2436, 2434, 2433,
2443, 2445, 2447, 2446, 2448, 2453, 2457, 2456, 2452, 2455, 2455, 2454,
2459, 2469, 2468, 2466, 2471, 2470, 2467, 2481, 2480, 2482, 2486, 2485,
2493, 2494, 2499, 2498, 2502, 2510, 2509, 2520, 2527, 2525, 2526, 2531 ]);
#############################################################################
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##
#E